aboutsummaryrefslogtreecommitdiff
path: root/src
diff options
context:
space:
mode:
Diffstat (limited to 'src')
-rw-r--r--src/.clang-format11
-rw-r--r--src/.clang-tidy2
-rw-r--r--src/Makefile.am252
-rw-r--r--src/Makefile.bench.include5
-rw-r--r--src/Makefile.crc32c.include1
-rw-r--r--src/Makefile.leveldb.include6
-rw-r--r--src/Makefile.minisketch.include43
-rw-r--r--src/Makefile.qt.include72
-rw-r--r--src/Makefile.qttest.include8
-rw-r--r--src/Makefile.test.include100
-rw-r--r--src/Makefile.test_fuzz.include2
-rw-r--r--src/Makefile.test_util.include4
-rw-r--r--src/Makefile.univalue.include6
-rw-r--r--src/addrdb.cpp164
-rw-r--r--src/addrdb.h77
-rw-r--r--src/addrman.cpp1102
-rw-r--r--src/addrman.h787
-rw-r--r--src/addrman_impl.h282
-rw-r--r--src/arith_uint256.cpp4
-rw-r--r--src/banman.cpp57
-rw-r--r--src/banman.h14
-rw-r--r--src/base58.cpp4
-rw-r--r--src/bech32.cpp436
-rw-r--r--src/bech32.h43
-rw-r--r--src/bench/addrman.cpp60
-rw-r--r--src/bench/bech32.cpp5
-rw-r--r--src/bench/bench.cpp33
-rw-r--r--src/bench/bench.h28
-rw-r--r--src/bench/bench_bitcoin.cpp75
-rw-r--r--src/bench/block_assemble.cpp21
-rw-r--r--src/bench/ccoins_caching.cpp4
-rw-r--r--src/bench/checkblock.cpp8
-rw-r--r--src/bench/coin_selection.cpp55
-rw-r--r--src/bench/crypto_hash.cpp10
-rw-r--r--src/bench/data.cpp2
-rw-r--r--src/bench/duplicate_inputs.cpp4
-rw-r--r--src/bench/mempool_eviction.cpp2
-rw-r--r--src/bench/mempool_stress.cpp45
-rw-r--r--src/bench/nanobench.h270
-rw-r--r--src/bench/peer_eviction.cpp155
-rw-r--r--src/bench/prevector.cpp2
-rw-r--r--src/bench/rollingbloom.cpp20
-rw-r--r--src/bench/rpc_blockchain.cpp10
-rw-r--r--src/bench/rpc_mempool.cpp4
-rw-r--r--src/bench/verify_script.cpp6
-rw-r--r--src/bench/wallet_balance.cpp39
-rw-r--r--src/bitcoin-cli-res.rc6
-rw-r--r--src/bitcoin-cli.cpp358
-rw-r--r--src/bitcoin-tx-res.rc6
-rw-r--r--src/bitcoin-tx.cpp52
-rw-r--r--src/bitcoin-util-res.rc6
-rw-r--r--src/bitcoin-util.cpp136
-rw-r--r--src/bitcoin-wallet-res.rc6
-rw-r--r--src/bitcoin-wallet.cpp34
-rw-r--r--src/bitcoind-res.rc6
-rw-r--r--src/bitcoind.cpp152
-rw-r--r--src/blockfilter.cpp43
-rw-r--r--src/chain.cpp11
-rw-r--r--src/chain.h185
-rw-r--r--src/chainparams.cpp199
-rw-r--r--src/chainparams.h40
-rw-r--r--src/chainparamsbase.cpp19
-rw-r--r--src/chainparamsseeds.h1879
-rw-r--r--src/checkqueue.h26
-rw-r--r--src/clientversion.cpp11
-rw-r--r--src/clientversion.h3
-rw-r--r--src/coins.cpp25
-rw-r--r--src/coins.h13
-rw-r--r--src/common/bloom.cpp (renamed from src/bloom.cpp)82
-rw-r--r--src/common/bloom.h (renamed from src/bloom.h)28
-rw-r--r--src/compat.h2
-rw-r--r--src/compat/assumptions.h7
-rw-r--r--src/compat/glibc_compat.cpp69
-rw-r--r--src/compat/glibc_sanity.cpp45
-rw-r--r--src/compat/sanity.h3
-rw-r--r--src/compressor.cpp8
-rw-r--r--src/compressor.h30
-rw-r--r--src/consensus/amount.h (renamed from src/amount.h)15
-rw-r--r--src/consensus/params.h50
-rw-r--r--src/consensus/tx_check.cpp3
-rw-r--r--src/consensus/tx_verify.cpp22
-rw-r--r--src/consensus/tx_verify.h10
-rw-r--r--src/consensus/validation.h3
-rw-r--r--src/core_io.h19
-rw-r--r--src/core_read.cpp78
-rw-r--r--src/core_write.cpp73
-rw-r--r--src/crc32c/.travis.yml18
-rw-r--r--src/crc32c/.ycm_extra_conf.py4
-rw-r--r--src/crc32c/README.md2
-rw-r--r--src/crc32c/src/crc32c_arm64_check.h10
-rw-r--r--src/crypto/chacha_poly_aead.cpp9
-rw-r--r--src/crypto/chacha_poly_aead.h6
-rw-r--r--src/crypto/muhash.cpp4
-rw-r--r--src/crypto/muhash.h4
-rw-r--r--src/crypto/sha256.cpp74
-rw-r--r--src/crypto/sha256_arm_shani.cpp899
-rw-r--r--src/crypto/sha256_sse4.cpp2
-rw-r--r--src/crypto/sha256_x86_shani.cpp (renamed from src/crypto/sha256_shani.cpp)6
-rw-r--r--src/cuckoocache.h31
-rw-r--r--src/dbwrapper.cpp39
-rw-r--r--src/dbwrapper.h8
-rw-r--r--src/deploymentinfo.cpp36
-rw-r--r--src/deploymentinfo.h29
-rw-r--r--src/deploymentstatus.cpp34
-rw-r--r--src/deploymentstatus.h55
-rw-r--r--src/dummywallet.cpp13
-rw-r--r--src/external_signer.cpp (renamed from src/wallet/external_signer.cpp)51
-rw-r--r--src/external_signer.h (renamed from src/wallet/external_signer.h)39
-rw-r--r--src/flatfile.cpp6
-rw-r--r--src/fs.cpp117
-rw-r--r--src/fs.h218
-rw-r--r--src/hash.cpp10
-rw-r--r--src/hash.h15
-rw-r--r--src/httprpc.cpp19
-rw-r--r--src/httprpc.h12
-rw-r--r--src/httpserver.cpp70
-rw-r--r--src/i2p.cpp61
-rw-r--r--src/i2p.h24
-rw-r--r--src/index/base.cpp70
-rw-r--r--src/index/base.h17
-rw-r--r--src/index/blockfilterindex.cpp24
-rw-r--r--src/index/blockfilterindex.h2
-rw-r--r--src/index/coinstatsindex.cpp485
-rw-r--r--src/index/coinstatsindex.h61
-rw-r--r--src/index/txindex.cpp179
-rw-r--r--src/index/txindex.h7
-rw-r--r--src/init.cpp1022
-rw-r--r--src/init.h28
-rw-r--r--src/init/bitcoin-gui.cpp47
-rw-r--r--src/init/bitcoin-node.cpp56
-rw-r--r--src/init/bitcoin-qt.cpp42
-rw-r--r--src/init/bitcoin-wallet.cpp12
-rw-r--r--src/init/bitcoind.cpp44
-rw-r--r--src/init/common.cpp167
-rw-r--r--src/init/common.h28
-rw-r--r--src/interfaces/README.md6
-rw-r--r--src/interfaces/chain.h41
-rw-r--r--src/interfaces/echo.cpp18
-rw-r--r--src/interfaces/echo.h26
-rw-r--r--src/interfaces/handler.cpp7
-rw-r--r--src/interfaces/init.cpp17
-rw-r--r--src/interfaces/init.h54
-rw-r--r--src/interfaces/ipc.h78
-rw-r--r--src/interfaces/node.h50
-rw-r--r--src/interfaces/wallet.h93
-rw-r--r--src/ipc/capnp/.gitignore2
-rw-r--r--src/ipc/capnp/context.h23
-rw-r--r--src/ipc/capnp/echo.capnp17
-rw-r--r--src/ipc/capnp/init-types.h10
-rw-r--r--src/ipc/capnp/init.capnp20
-rw-r--r--src/ipc/capnp/protocol.cpp93
-rw-r--r--src/ipc/capnp/protocol.h17
-rw-r--r--src/ipc/context.h19
-rw-r--r--src/ipc/exception.h20
-rw-r--r--src/ipc/interfaces.cpp78
-rw-r--r--src/ipc/process.cpp61
-rw-r--r--src/ipc/process.h42
-rw-r--r--src/ipc/protocol.h44
-rw-r--r--src/key.cpp65
-rw-r--r--src/key.h25
-rw-r--r--src/key_io.cpp91
-rw-r--r--src/key_io.h4
-rw-r--r--src/logging.cpp33
-rw-r--r--src/logging.h11
-rw-r--r--src/logging/timer.h49
-rw-r--r--src/mapport.cpp7
-rw-r--r--src/merkleblock.h6
-rw-r--r--src/minisketch/.cirrus.yml154
-rw-r--r--src/minisketch/.gitignore35
-rw-r--r--src/minisketch/LICENSE21
-rw-r--r--src/minisketch/Makefile.am92
-rw-r--r--src/minisketch/README.md210
-rwxr-xr-xsrc/minisketch/autogen.sh15
-rw-r--r--src/minisketch/build-aux/m4/ax_check_compile_flag.m453
-rw-r--r--src/minisketch/build-aux/m4/ax_check_link_flag.m453
-rw-r--r--src/minisketch/build-aux/m4/ax_check_preproc_flag.m453
-rw-r--r--src/minisketch/build-aux/m4/ax_cxx_compile_stdcxx.m4962
-rwxr-xr-xsrc/minisketch/ci/cirrus.sh41
-rw-r--r--src/minisketch/ci/linux-debian.Dockerfile17
-rw-r--r--src/minisketch/configure.ac162
-rw-r--r--src/minisketch/doc/example.c51
-rw-r--r--src/minisketch/doc/gen_basefpbits.sage78
-rwxr-xr-xsrc/minisketch/doc/gen_params.sage333
-rw-r--r--src/minisketch/doc/log2_factorial.sage85
-rw-r--r--src/minisketch/doc/math.md117
-rw-r--r--src/minisketch/doc/minisketch-vs.pngbin0 -> 14212 bytes
-rw-r--r--src/minisketch/doc/moduli.md65
-rw-r--r--src/minisketch/doc/plot_bits.pngbin0 -> 70202 bytes
-rw-r--r--src/minisketch/doc/plot_capacity.pngbin0 -> 77020 bytes
-rw-r--r--src/minisketch/doc/plot_diff.pngbin0 -> 58547 bytes
-rw-r--r--src/minisketch/doc/plot_size.pngbin0 -> 67743 bytes
-rw-r--r--src/minisketch/doc/protocoltips.md30
-rw-r--r--src/minisketch/include/minisketch.h367
-rw-r--r--src/minisketch/sources.mk58
-rw-r--r--src/minisketch/src/bench.cpp122
-rw-r--r--src/minisketch/src/false_positives.h110
-rw-r--r--src/minisketch/src/fielddefines.h560
-rw-r--r--src/minisketch/src/fields/clmul_1byte.cpp119
-rw-r--r--src/minisketch/src/fields/clmul_2bytes.cpp154
-rw-r--r--src/minisketch/src/fields/clmul_3bytes.cpp166
-rw-r--r--src/minisketch/src/fields/clmul_4bytes.cpp158
-rw-r--r--src/minisketch/src/fields/clmul_5bytes.cpp174
-rw-r--r--src/minisketch/src/fields/clmul_6bytes.cpp170
-rw-r--r--src/minisketch/src/fields/clmul_7bytes.cpp170
-rw-r--r--src/minisketch/src/fields/clmul_8bytes.cpp175
-rw-r--r--src/minisketch/src/fields/clmul_common_impl.h170
-rw-r--r--src/minisketch/src/fields/generic_1byte.cpp112
-rw-r--r--src/minisketch/src/fields/generic_2bytes.cpp124
-rw-r--r--src/minisketch/src/fields/generic_3bytes.cpp124
-rw-r--r--src/minisketch/src/fields/generic_4bytes.cpp124
-rw-r--r--src/minisketch/src/fields/generic_5bytes.cpp124
-rw-r--r--src/minisketch/src/fields/generic_6bytes.cpp124
-rw-r--r--src/minisketch/src/fields/generic_7bytes.cpp124
-rw-r--r--src/minisketch/src/fields/generic_8bytes.cpp124
-rw-r--r--src/minisketch/src/fields/generic_common_impl.h70
-rw-r--r--src/minisketch/src/int_utils.h290
-rw-r--r--src/minisketch/src/lintrans.h150
-rw-r--r--src/minisketch/src/minisketch.cpp488
-rw-r--r--src/minisketch/src/sketch.h42
-rw-r--r--src/minisketch/src/sketch_impl.h433
-rw-r--r--src/minisketch/src/test.cpp316
-rw-r--r--src/minisketch/src/util.h74
-rwxr-xr-xsrc/minisketch/tests/pyminisketch.py507
-rw-r--r--src/net.cpp1204
-rw-r--r--src/net.h445
-rw-r--r--src/net_permissions.cpp44
-rw-r--r--src/net_permissions.h53
-rw-r--r--src/net_processing.cpp1907
-rw-r--r--src/net_processing.h35
-rw-r--r--src/net_types.cpp74
-rw-r--r--src/net_types.h49
-rw-r--r--src/netaddress.cpp195
-rw-r--r--src/netaddress.h885
-rw-r--r--src/netbase.cpp371
-rw-r--r--src/netbase.h181
-rw-r--r--src/node/README.md3
-rw-r--r--src/node/blockstorage.cpp931
-rw-r--r--src/node/blockstorage.h194
-rw-r--r--src/node/caches.cpp34
-rw-r--r--src/node/caches.h24
-rw-r--r--src/node/chainstate.cpp160
-rw-r--r--src/node/chainstate.h87
-rw-r--r--src/node/coin.cpp7
-rw-r--r--src/node/coin.h5
-rw-r--r--src/node/coinstats.cpp107
-rw-r--r--src/node/coinstats.h55
-rw-r--r--src/node/context.cpp4
-rw-r--r--src/node/context.h15
-rw-r--r--src/node/interfaces.cpp193
-rw-r--r--src/node/miner.cpp (renamed from src/miner.cpp)109
-rw-r--r--src/node/miner.h (renamed from src/miner.h)35
-rw-r--r--src/node/minisketchwrapper.cpp79
-rw-r--r--src/node/minisketchwrapper.h20
-rw-r--r--src/node/psbt.cpp14
-rw-r--r--src/node/psbt.h24
-rw-r--r--src/node/transaction.cpp160
-rw-r--r--src/node/transaction.h25
-rw-r--r--src/node/ui_interface.cpp5
-rw-r--r--src/node/ui_interface.h8
-rw-r--r--src/node/utxo_snapshot.h13
-rw-r--r--src/optional.h20
-rw-r--r--src/outputtype.cpp38
-rw-r--r--src/outputtype.h10
-rw-r--r--src/policy/feerate.cpp29
-rw-r--r--src/policy/feerate.h19
-rw-r--r--src/policy/fees.cpp67
-rw-r--r--src/policy/fees.h44
-rw-r--r--src/policy/packages.cpp79
-rw-r--r--src/policy/packages.h51
-rw-r--r--src/policy/policy.cpp26
-rw-r--r--src/policy/policy.h5
-rw-r--r--src/policy/rbf.cpp142
-rw-r--r--src/policy/rbf.h70
-rw-r--r--src/primitives/transaction.cpp3
-rw-r--r--src/primitives/transaction.h45
-rw-r--r--src/protocol.cpp16
-rw-r--r--src/protocol.h99
-rw-r--r--src/psbt.cpp60
-rw-r--r--src/psbt.h434
-rw-r--r--src/pubkey.cpp96
-rw-r--r--src/pubkey.h98
-rw-r--r--src/qt/Makefile2
-rw-r--r--src/qt/addressbookpage.cpp44
-rw-r--r--src/qt/addressbookpage.h3
-rw-r--r--src/qt/addresstablemodel.cpp46
-rw-r--r--src/qt/android/.gitignore7
-rw-r--r--src/qt/android/AndroidManifest.xml39
-rw-r--r--src/qt/android/build.gradle52
-rw-r--r--src/qt/android/gradle.properties4
-rw-r--r--src/qt/android/res/drawable-hdpi/bitcoin.pngbin0 -> 4536 bytes
-rw-r--r--src/qt/android/res/drawable-ldpi/bitcoin.pngbin0 -> 1697 bytes
-rw-r--r--src/qt/android/res/drawable-mdpi/bitcoin.pngbin0 -> 2558 bytes
-rw-r--r--src/qt/android/res/drawable-xhdpi/bitcoin.pngbin0 -> 6832 bytes
-rw-r--r--src/qt/android/res/drawable-xxhdpi/bitcoin.pngbin0 -> 11479 bytes
-rw-r--r--src/qt/android/res/drawable-xxxhdpi/bitcoin.pngbin0 -> 17034 bytes
-rw-r--r--src/qt/android/res/values/libs.xml17
-rw-r--r--src/qt/android/src/org/bitcoincore/qt/BitcoinQtActivity.java23
-rw-r--r--src/qt/askpassphrasedialog.cpp2
-rw-r--r--src/qt/bantablemodel.cpp17
-rw-r--r--src/qt/bantablemodel.h3
-rw-r--r--src/qt/bitcoin.cpp259
-rw-r--r--src/qt/bitcoin.h57
-rw-r--r--src/qt/bitcoinamountfield.cpp4
-rw-r--r--src/qt/bitcoinamountfield.h4
-rw-r--r--src/qt/bitcoingui.cpp341
-rw-r--r--src/qt/bitcoingui.h28
-rw-r--r--src/qt/bitcoinstrings.cpp119
-rw-r--r--src/qt/bitcoinunits.cpp4
-rw-r--r--src/qt/bitcoinunits.h4
-rw-r--r--src/qt/clientmodel.cpp31
-rw-r--r--src/qt/clientmodel.h5
-rw-r--r--src/qt/coincontroldialog.cpp58
-rw-r--r--src/qt/coincontroldialog.h19
-rw-r--r--src/qt/createwalletdialog.cpp76
-rw-r--r--src/qt/createwalletdialog.h12
-rw-r--r--src/qt/editaddressdialog.cpp2
-rw-r--r--src/qt/forms/createwalletdialog.ui14
-rw-r--r--src/qt/forms/debugwindow.ui153
-rw-r--r--src/qt/forms/intro.ui53
-rw-r--r--src/qt/forms/modaloverlay.ui18
-rw-r--r--src/qt/forms/openuridialog.ui21
-rw-r--r--src/qt/forms/optionsdialog.ui110
-rw-r--r--src/qt/forms/psbtoperationsdialog.ui2
-rw-r--r--src/qt/forms/receivecoinsdialog.ui12
-rw-r--r--src/qt/forms/receiverequestdialog.ui21
-rw-r--r--src/qt/forms/sendcoinsdialog.ui8
-rw-r--r--src/qt/guiconstants.h12
-rw-r--r--src/qt/guiutil.cpp168
-rw-r--r--src/qt/guiutil.h122
-rw-r--r--src/qt/initexecutor.cpp71
-rw-r--r--src/qt/initexecutor.h47
-rw-r--r--src/qt/intro.cpp55
-rw-r--r--src/qt/intro.h9
-rw-r--r--src/qt/locale/bitcoin_en.ts2376
-rw-r--r--src/qt/locale/bitcoin_en.xlf6025
-rw-r--r--src/qt/modaloverlay.cpp9
-rw-r--r--src/qt/networkstyle.cpp2
-rw-r--r--src/qt/openuridialog.cpp25
-rw-r--r--src/qt/openuridialog.h11
-rw-r--r--src/qt/optionsdialog.cpp48
-rw-r--r--src/qt/optionsdialog.h5
-rw-r--r--src/qt/optionsmodel.cpp63
-rw-r--r--src/qt/optionsmodel.h11
-rw-r--r--src/qt/overviewpage.cpp45
-rw-r--r--src/qt/overviewpage.h8
-rw-r--r--src/qt/paymentserver.cpp25
-rw-r--r--src/qt/peertablemodel.cpp209
-rw-r--r--src/qt/peertablemodel.h64
-rw-r--r--src/qt/peertablesortproxy.cpp45
-rw-r--r--src/qt/peertablesortproxy.h25
-rw-r--r--src/qt/platformstyle.cpp31
-rw-r--r--src/qt/platformstyle.h9
-rw-r--r--src/qt/psbtoperationsdialog.cpp61
-rw-r--r--src/qt/qrimagewidget.cpp16
-rw-r--r--src/qt/qvalidatedlineedit.cpp9
-rw-r--r--src/qt/qvalidatedlineedit.h1
-rw-r--r--src/qt/qvaluecombobox.cpp4
-rw-r--r--src/qt/receivecoinsdialog.cpp57
-rw-r--r--src/qt/receivecoinsdialog.h2
-rw-r--r--src/qt/receiverequestdialog.cpp8
-rw-r--r--src/qt/recentrequeststablemodel.cpp25
-rw-r--r--src/qt/recentrequeststablemodel.h8
-rwxr-xr-xsrc/qt/res/animation/makespinner.sh8
-rw-r--r--src/qt/rpcconsole.cpp486
-rw-r--r--src/qt/rpcconsole.h25
-rw-r--r--src/qt/sendcoinsdialog.cpp202
-rw-r--r--src/qt/sendcoinsdialog.h22
-rw-r--r--src/qt/sendcoinsentry.cpp19
-rw-r--r--src/qt/sendcoinsentry.h5
-rw-r--r--src/qt/sendcoinsrecipient.h4
-rw-r--r--src/qt/signverifymessagedialog.cpp18
-rw-r--r--src/qt/signverifymessagedialog.h3
-rw-r--r--src/qt/splashscreen.cpp9
-rw-r--r--src/qt/splashscreen.h3
-rw-r--r--src/qt/test/addressbooktests.cpp33
-rw-r--r--src/qt/test/apptests.cpp35
-rw-r--r--src/qt/test/compattests.cpp25
-rw-r--r--src/qt/test/compattests.h19
-rw-r--r--src/qt/test/rpcnestedtests.cpp31
-rw-r--r--src/qt/test/test_main.cpp30
-rw-r--r--src/qt/test/util.cpp4
-rw-r--r--src/qt/test/util.h8
-rw-r--r--src/qt/test/wallettests.cpp77
-rw-r--r--src/qt/trafficgraphwidget.cpp27
-rw-r--r--src/qt/trafficgraphwidget.h8
-rw-r--r--src/qt/transactiondesc.cpp30
-rw-r--r--src/qt/transactiondescdialog.cpp2
-rw-r--r--src/qt/transactionfilterproxy.cpp21
-rw-r--r--src/qt/transactionfilterproxy.h17
-rw-r--r--src/qt/transactionrecord.cpp21
-rw-r--r--src/qt/transactionrecord.h6
-rw-r--r--src/qt/transactiontablemodel.cpp101
-rw-r--r--src/qt/transactionview.cpp134
-rw-r--r--src/qt/transactionview.h9
-rw-r--r--src/qt/utilitydialog.cpp4
-rw-r--r--src/qt/walletcontroller.cpp120
-rw-r--r--src/qt/walletcontroller.h21
-rw-r--r--src/qt/walletframe.cpp91
-rw-r--r--src/qt/walletframe.h15
-rw-r--r--src/qt/walletmodel.cpp65
-rw-r--r--src/qt/walletmodel.h15
-rw-r--r--src/qt/walletmodeltransaction.cpp7
-rw-r--r--src/qt/walletmodeltransaction.h6
-rw-r--r--src/qt/walletview.cpp170
-rw-r--r--src/qt/walletview.h30
-rw-r--r--src/qt/winshutdownmonitor.h4
-rw-r--r--src/random.cpp31
-rw-r--r--src/random.h14
-rw-r--r--src/randomenv.cpp12
-rw-r--r--src/randomenv.h4
-rw-r--r--src/rest.cpp355
-rw-r--r--src/rpc/blockchain.cpp1155
-rw-r--r--src/rpc/blockchain.h32
-rw-r--r--src/rpc/client.cpp14
-rw-r--r--src/rpc/external_signer.cpp79
-rw-r--r--src/rpc/mining.cpp342
-rw-r--r--src/rpc/misc.cpp192
-rw-r--r--src/rpc/net.cpp403
-rw-r--r--src/rpc/protocol.h3
-rw-r--r--src/rpc/rawtransaction.cpp778
-rw-r--r--src/rpc/rawtransaction_util.cpp14
-rw-r--r--src/rpc/rawtransaction_util.h5
-rw-r--r--src/rpc/register.h7
-rw-r--r--src/rpc/request.cpp19
-rw-r--r--src/rpc/request.h22
-rw-r--r--src/rpc/server.cpp48
-rw-r--r--src/rpc/server.h5
-rw-r--r--src/rpc/server_util.cpp95
-rw-r--r--src/rpc/server_util.h32
-rw-r--r--src/rpc/util.cpp207
-rw-r--r--src/rpc/util.h65
-rw-r--r--src/scheduler.cpp19
-rw-r--r--src/scheduler.h10
-rw-r--r--src/script/bitcoinconsensus.cpp21
-rw-r--r--src/script/bitcoinconsensus.h2
-rw-r--r--src/script/descriptor.cpp670
-rw-r--r--src/script/descriptor.h29
-rw-r--r--src/script/interpreter.cpp119
-rw-r--r--src/script/interpreter.h84
-rw-r--r--src/script/keyorigin.h19
-rw-r--r--src/script/script.h15
-rw-r--r--src/script/sigcache.cpp8
-rw-r--r--src/script/sigcache.h4
-rw-r--r--src/script/sign.cpp229
-rw-r--r--src/script/sign.h92
-rw-r--r--src/script/signingprovider.cpp29
-rw-r--r--src/script/signingprovider.h33
-rw-r--r--src/script/standard.cpp407
-rw-r--r--src/script/standard.h225
-rw-r--r--src/secp256k1/.cirrus.yml340
-rw-r--r--src/secp256k1/.gitattributes2
-rw-r--r--src/secp256k1/.gitignore21
-rw-r--r--src/secp256k1/.travis.yml108
-rw-r--r--src/secp256k1/Makefile.am102
-rw-r--r--src/secp256k1/README.md31
-rw-r--r--src/secp256k1/SECURITY.md4
-rw-r--r--src/secp256k1/build-aux/m4/ax_prog_cc_for_build.m4125
-rw-r--r--src/secp256k1/build-aux/m4/bitcoin_secp.m495
-rwxr-xr-xsrc/secp256k1/ci/cirrus.sh66
-rw-r--r--src/secp256k1/ci/linux-debian.Dockerfile25
-rw-r--r--src/secp256k1/configure.ac315
-rw-r--r--src/secp256k1/contrib/lax_der_parsing.c15
-rw-r--r--src/secp256k1/contrib/lax_der_parsing.h16
-rw-r--r--src/secp256k1/contrib/lax_der_privatekey_parsing.c13
-rw-r--r--src/secp256k1/contrib/lax_der_privatekey_parsing.h16
-rwxr-xr-xsrc/secp256k1/contrib/travis.sh68
-rw-r--r--src/secp256k1/doc/safegcd_implementation.md771
-rw-r--r--src/secp256k1/include/secp256k1.h192
-rw-r--r--src/secp256k1/include/secp256k1_ecdh.h15
-rw-r--r--src/secp256k1/include/secp256k1_extrakeys.h110
-rw-r--r--src/secp256k1/include/secp256k1_preallocated.h12
-rw-r--r--src/secp256k1/include/secp256k1_recovery.h39
-rw-r--r--src/secp256k1/include/secp256k1_schnorrsig.h126
-rw-r--r--src/secp256k1/obj/.gitignore0
-rw-r--r--src/secp256k1/sage/gen_exhaustive_groups.sage7
-rw-r--r--src/secp256k1/sage/gen_split_lambda_constants.sage114
-rw-r--r--src/secp256k1/sage/group_prover.sage23
-rw-r--r--src/secp256k1/sage/prove_group_implementations.sage (renamed from src/secp256k1/sage/secp256k1.sage)0
-rw-r--r--src/secp256k1/sage/secp256k1_params.sage39
-rw-r--r--src/secp256k1/sage/weierstrass_prover.sage32
-rw-r--r--src/secp256k1/src/asm/field_10x26_arm.s10
-rw-r--r--src/secp256k1/src/assumptions.h10
-rw-r--r--src/secp256k1/src/basic-config.h29
-rw-r--r--src/secp256k1/src/bench.c234
-rw-r--r--src/secp256k1/src/bench.h73
-rw-r--r--src/secp256k1/src/bench_ecmult.c242
-rw-r--r--src/secp256k1/src/bench_internal.c137
-rw-r--r--src/secp256k1/src/bench_sign.c58
-rw-r--r--src/secp256k1/src/bench_verify.c115
-rw-r--r--src/secp256k1/src/ecdsa.h12
-rw-r--r--src/secp256k1/src/ecdsa_impl.h22
-rw-r--r--src/secp256k1/src/eckey.h14
-rw-r--r--src/secp256k1/src/eckey_impl.h18
-rw-r--r--src/secp256k1/src/ecmult.h42
-rw-r--r--src/secp256k1/src/ecmult_const.h11
-rw-r--r--src/secp256k1/src/ecmult_const_impl.h11
-rw-r--r--src/secp256k1/src/ecmult_gen.h42
-rw-r--r--src/secp256k1/src/ecmult_gen_impl.h146
-rw-r--r--src/secp256k1/src/ecmult_gen_prec.h14
-rw-r--r--src/secp256k1/src/ecmult_gen_prec_impl.h81
-rw-r--r--src/secp256k1/src/ecmult_gen_static_prec_table.h9748
-rw-r--r--src/secp256k1/src/ecmult_impl.h315
-rw-r--r--src/secp256k1/src/ecmult_static_pre_g.h16611
-rw-r--r--src/secp256k1/src/field.h37
-rw-r--r--src/secp256k1/src/field_10x26.h10
-rw-r--r--src/secp256k1/src/field_10x26_impl.h107
-rw-r--r--src/secp256k1/src/field_5x52.h10
-rw-r--r--src/secp256k1/src/field_5x52_asm_impl.h10
-rw-r--r--src/secp256k1/src/field_5x52_impl.h95
-rw-r--r--src/secp256k1/src/field_5x52_int128_impl.h55
-rw-r--r--src/secp256k1/src/field_impl.h190
-rw-r--r--src/secp256k1/src/gen_context.c88
-rw-r--r--src/secp256k1/src/gen_ecmult_gen_static_prec_table.c83
-rw-r--r--src/secp256k1/src/gen_ecmult_static_pre_g.c131
-rw-r--r--src/secp256k1/src/group.h25
-rw-r--r--src/secp256k1/src/group_impl.h97
-rw-r--r--src/secp256k1/src/hash.h10
-rw-r--r--src/secp256k1/src/hash_impl.h10
-rw-r--r--src/secp256k1/src/modinv32.h42
-rw-r--r--src/secp256k1/src/modinv32_impl.h587
-rw-r--r--src/secp256k1/src/modinv64.h46
-rw-r--r--src/secp256k1/src/modinv64_impl.h593
-rw-r--r--src/secp256k1/src/modules/ecdh/Makefile.am.include6
-rw-r--r--src/secp256k1/src/modules/ecdh/bench_impl.h (renamed from src/secp256k1/src/bench_ecdh.c)28
-rw-r--r--src/secp256k1/src/modules/ecdh/main_impl.h14
-rw-r--r--src/secp256k1/src/modules/ecdh/tests_impl.h10
-rw-r--r--src/secp256k1/src/modules/extrakeys/main_impl.h65
-rw-r--r--src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h16
-rw-r--r--src/secp256k1/src/modules/extrakeys/tests_impl.h147
-rw-r--r--src/secp256k1/src/modules/recovery/Makefile.am.include6
-rw-r--r--src/secp256k1/src/modules/recovery/bench_impl.h (renamed from src/secp256k1/src/bench_recover.c)28
-rw-r--r--src/secp256k1/src/modules/recovery/main_impl.h37
-rw-r--r--src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h12
-rw-r--r--src/secp256k1/src/modules/recovery/tests_impl.h56
-rw-r--r--src/secp256k1/src/modules/schnorrsig/Makefile.am.include6
-rw-r--r--src/secp256k1/src/modules/schnorrsig/bench_impl.h (renamed from src/secp256k1/src/bench_schnorrsig.c)44
-rw-r--r--src/secp256k1/src/modules/schnorrsig/main_impl.h108
-rw-r--r--src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h40
-rw-r--r--src/secp256k1/src/modules/schnorrsig/tests_impl.h270
-rw-r--r--src/secp256k1/src/num.h74
-rw-r--r--src/secp256k1/src/num_gmp.h20
-rw-r--r--src/secp256k1/src/num_gmp_impl.h288
-rw-r--r--src/secp256k1/src/num_impl.h24
-rw-r--r--src/secp256k1/src/scalar.h22
-rw-r--r--src/secp256k1/src/scalar_4x64.h10
-rw-r--r--src/secp256k1/src/scalar_4x64_impl.h252
-rw-r--r--src/secp256k1/src/scalar_8x32.h10
-rw-r--r--src/secp256k1/src/scalar_8x32_impl.h189
-rw-r--r--src/secp256k1/src/scalar_impl.h231
-rw-r--r--src/secp256k1/src/scalar_low.h10
-rw-r--r--src/secp256k1/src/scalar_low_impl.h29
-rw-r--r--src/secp256k1/src/scratch.h16
-rw-r--r--src/secp256k1/src/scratch_impl.h14
-rw-r--r--src/secp256k1/src/secp256k1.c209
-rw-r--r--src/secp256k1/src/selftest.h10
-rw-r--r--src/secp256k1/src/testrand.h10
-rw-r--r--src/secp256k1/src/testrand_impl.h12
-rw-r--r--src/secp256k1/src/tests.c2373
-rw-r--r--src/secp256k1/src/tests_exhaustive.c31
-rw-r--r--src/secp256k1/src/util.h144
-rw-r--r--src/secp256k1/src/valgrind_ctime_test.c90
-rw-r--r--src/serialize.h132
-rw-r--r--src/shutdown.cpp72
-rw-r--r--src/shutdown.h9
-rw-r--r--src/signet.cpp22
-rw-r--r--src/signet.h6
-rw-r--r--src/span.h62
-rw-r--r--src/streams.h197
-rw-r--r--src/support/allocators/secure.h19
-rw-r--r--src/support/allocators/zeroafterfree.h20
-rw-r--r--src/sync.cpp32
-rw-r--r--src/sync.h26
-rw-r--r--src/test/README.md52
-rw-r--r--src/test/addrman_tests.cpp881
-rw-r--r--src/test/allocator_tests.cpp14
-rw-r--r--src/test/amount_tests.cpp21
-rw-r--r--src/test/arith_uint256_tests.cpp20
-rw-r--r--src/test/banman_tests.cpp43
-rw-r--r--src/test/base32_tests.cpp5
-rw-r--r--src/test/base58_tests.cpp4
-rw-r--r--src/test/base64_tests.cpp15
-rw-r--r--src/test/bech32_tests.cpp120
-rw-r--r--src/test/bip32_tests.cpp54
-rw-r--r--src/test/blockfilter_index_tests.cpp34
-rw-r--r--src/test/bloom_tests.cpp18
-rw-r--r--src/test/bswap_tests.cpp6
-rw-r--r--src/test/checkqueue_tests.cpp29
-rw-r--r--src/test/coins_tests.cpp10
-rw-r--r--src/test/coinstatsindex_tests.cpp81
-rw-r--r--src/test/compilerbug_tests.cpp5
-rw-r--r--src/test/compress_tests.cpp20
-rw-r--r--src/test/crypto_tests.cpp30
-rw-r--r--src/test/cuckoocache_tests.cpp2
-rw-r--r--src/test/data/README.md2
-rw-r--r--src/test/data/bip341_wallet_vectors.json452
-rw-r--r--src/test/data/key_io_invalid.json146
-rw-r--r--src/test/data/key_io_valid.json571
-rw-r--r--src/test/data/script_tests.json4
-rw-r--r--src/test/data/tx_invalid.json46
-rw-r--r--src/test/data/tx_valid.json4
-rw-r--r--src/test/dbwrapper_tests.cpp57
-rw-r--r--src/test/denialofservice_tests.cpp307
-rw-r--r--src/test/descriptor_tests.cpp132
-rw-r--r--src/test/flatfile_tests.cpp10
-rw-r--r--src/test/fs_tests.cpp109
-rw-r--r--src/test/fuzz/FuzzedDataProvider.h1
-rw-r--r--src/test/fuzz/addition_overflow.cpp1
-rw-r--r--src/test/fuzz/addrdb.cpp37
-rw-r--r--src/test/fuzz/addrman.cpp279
-rw-r--r--src/test/fuzz/asmap.cpp7
-rw-r--r--src/test/fuzz/asmap_direct.cpp5
-rw-r--r--src/test/fuzz/autofile.cpp11
-rw-r--r--src/test/fuzz/banman.cpp47
-rw-r--r--src/test/fuzz/base_encode_decode.cpp9
-rw-r--r--src/test/fuzz/bech32.cpp34
-rw-r--r--src/test/fuzz/block.cpp4
-rw-r--r--src/test/fuzz/blockfilter.cpp7
-rw-r--r--src/test/fuzz/bloom_filter.cpp4
-rw-r--r--src/test/fuzz/buffered_file.cpp9
-rw-r--r--src/test/fuzz/chain.cpp27
-rw-r--r--src/test/fuzz/coins_view.cpp37
-rw-r--r--src/test/fuzz/connman.cpp63
-rw-r--r--src/test/fuzz/crypto.cpp3
-rw-r--r--src/test/fuzz/crypto_aes256.cpp4
-rw-r--r--src/test/fuzz/crypto_aes256cbc.cpp4
-rw-r--r--src/test/fuzz/crypto_chacha20.cpp2
-rw-r--r--src/test/fuzz/crypto_chacha20_poly1305_aead.cpp3
-rw-r--r--src/test/fuzz/crypto_diff_fuzz_chacha20.cpp329
-rw-r--r--src/test/fuzz/crypto_hkdf_hmac_sha256_l32.cpp4
-rw-r--r--src/test/fuzz/cuckoocache.cpp6
-rwxr-xr-xsrc/test/fuzz/danger_link_all.sh28
-rw-r--r--src/test/fuzz/data_stream.cpp26
-rw-r--r--src/test/fuzz/descriptor_parse.cpp3
-rw-r--r--src/test/fuzz/deserialize.cpp292
-rw-r--r--src/test/fuzz/eval_script.cpp3
-rw-r--r--src/test/fuzz/fee_rate.cpp8
-rw-r--r--src/test/fuzz/fees.cpp6
-rw-r--r--src/test/fuzz/float.cpp66
-rw-r--r--src/test/fuzz/fuzz.cpp59
-rw-r--r--src/test/fuzz/fuzz.h7
-rw-r--r--src/test/fuzz/golomb_rice.cpp26
-rw-r--r--src/test/fuzz/i2p.cpp57
-rw-r--r--src/test/fuzz/integer.cpp45
-rw-r--r--src/test/fuzz/key.cpp3
-rw-r--r--src/test/fuzz/key_io.cpp13
-rw-r--r--src/test/fuzz/kitchen_sink.cpp8
-rw-r--r--src/test/fuzz/load_external_block_file.cpp7
-rw-r--r--src/test/fuzz/locale.cpp8
-rw-r--r--src/test/fuzz/merkleblock.cpp2
-rw-r--r--src/test/fuzz/minisketch.cpp66
-rw-r--r--src/test/fuzz/muhash.cpp73
-rw-r--r--src/test/fuzz/multiplication_overflow.cpp14
-rw-r--r--src/test/fuzz/net.cpp37
-rw-r--r--src/test/fuzz/net_permissions.cpp6
-rw-r--r--src/test/fuzz/netaddress.cpp2
-rw-r--r--src/test/fuzz/netbase_dns_lookup.cpp71
-rw-r--r--src/test/fuzz/node_eviction.cpp30
-rw-r--r--src/test/fuzz/p2p_transport_deserializer.cpp42
-rw-r--r--src/test/fuzz/p2p_transport_serialization.cpp83
-rw-r--r--src/test/fuzz/parse_iso8601.cpp5
-rw-r--r--src/test/fuzz/parse_numbers.cpp16
-rw-r--r--src/test/fuzz/parse_univalue.cpp3
-rw-r--r--src/test/fuzz/policy_estimator.cpp8
-rw-r--r--src/test/fuzz/pow.cpp11
-rw-r--r--src/test/fuzz/prevector.cpp5
-rw-r--r--src/test/fuzz/process_message.cpp10
-rw-r--r--src/test/fuzz/process_messages.cpp15
-rw-r--r--src/test/fuzz/psbt.cpp34
-rw-r--r--src/test/fuzz/rbf.cpp4
-rw-r--r--src/test/fuzz/rolling_bloom_filter.cpp16
-rw-r--r--src/test/fuzz/rpc.cpp371
-rw-r--r--src/test/fuzz/script.cpp100
-rw-r--r--src/test/fuzz/script_assets_test_minimizer.cpp25
-rw-r--r--src/test/fuzz/script_descriptor_cache.cpp6
-rw-r--r--src/test/fuzz/script_flags.cpp21
-rw-r--r--src/test/fuzz/script_format.cpp30
-rw-r--r--src/test/fuzz/script_ops.cpp63
-rw-r--r--src/test/fuzz/script_sign.cpp14
-rw-r--r--src/test/fuzz/scriptnum_ops.cpp2
-rw-r--r--src/test/fuzz/signature_checker.cpp24
-rw-r--r--src/test/fuzz/socks5.cpp3
-rw-r--r--src/test/fuzz/string.cpp162
-rw-r--r--src/test/fuzz/strprintf.cpp61
-rw-r--r--src/test/fuzz/system.cpp19
-rw-r--r--src/test/fuzz/timedata.cpp6
-rw-r--r--src/test/fuzz/torcontrol.cpp2
-rw-r--r--src/test/fuzz/transaction.cpp17
-rw-r--r--src/test/fuzz/tx_pool.cpp354
-rw-r--r--src/test/fuzz/txrequest.cpp6
-rw-r--r--src/test/fuzz/util.cpp597
-rw-r--r--src/test/fuzz/util.h448
-rw-r--r--src/test/fuzz/utxo_snapshot.cpp91
-rw-r--r--src/test/fuzz/validation_load_mempool.cpp39
-rw-r--r--src/test/fuzz/versionbits.cpp364
-rw-r--r--src/test/getarg_tests.cpp224
-rw-r--r--src/test/hash_tests.cpp4
-rw-r--r--src/test/i2p_tests.cpp44
-rw-r--r--src/test/interfaces_tests.cpp5
-rw-r--r--src/test/key_io_tests.cpp6
-rw-r--r--src/test/key_tests.cpp44
-rw-r--r--src/test/logging_tests.cpp13
-rw-r--r--src/test/main.cpp19
-rw-r--r--src/test/mempool_tests.cpp60
-rw-r--r--src/test/merkleblock_tests.cpp6
-rw-r--r--src/test/miner_tests.cpp161
-rw-r--r--src/test/minisketch_tests.cpp51
-rw-r--r--src/test/multisig_tests.cpp18
-rw-r--r--src/test/net_peer_eviction_tests.cpp552
-rw-r--r--src/test/net_tests.cpp650
-rw-r--r--src/test/netbase_tests.cpp121
-rw-r--r--src/test/policy_fee_tests.cpp10
-rw-r--r--src/test/pow_tests.cpp2
-rw-r--r--src/test/prevector_tests.cpp16
-rw-r--r--src/test/ref_tests.cpp33
-rw-r--r--src/test/reverselock_tests.cpp6
-rw-r--r--src/test/rpc_tests.cpp64
-rw-r--r--src/test/sanity_tests.cpp3
-rw-r--r--src/test/scheduler_tests.cpp4
-rw-r--r--src/test/script_p2sh_tests.cpp10
-rw-r--r--src/test/script_parse_tests.cpp55
-rw-r--r--src/test/script_standard_tests.cpp206
-rw-r--r--src/test/script_tests.cpp166
-rw-r--r--src/test/scriptnum10.h4
-rw-r--r--src/test/serfloat_tests.cpp130
-rw-r--r--src/test/serialize_tests.cpp157
-rw-r--r--src/test/settings_tests.cpp18
-rw-r--r--src/test/sighash_tests.cpp11
-rw-r--r--src/test/sigopcount_tests.cpp8
-rw-r--r--src/test/skiplist_tests.cpp4
-rw-r--r--src/test/sock_tests.cpp33
-rw-r--r--src/test/streams_tests.cpp96
-rw-r--r--src/test/sync_tests.cpp5
-rw-r--r--src/test/system_tests.cpp69
-rw-r--r--src/test/torcontrol_tests.cpp3
-rw-r--r--src/test/transaction_tests.cpp231
-rw-r--r--src/test/txindex_tests.cpp5
-rw-r--r--src/test/txpackage_tests.cpp562
-rw-r--r--src/test/txrequest_tests.cpp8
-rw-r--r--src/test/txvalidation_tests.cpp10
-rw-r--r--src/test/txvalidationcache_tests.cpp71
-rw-r--r--src/test/uint256_tests.cpp5
-rw-r--r--src/test/util/blockfilter.cpp7
-rw-r--r--src/test/util/chainstate.h55
-rw-r--r--src/test/util/logging.cpp3
-rw-r--r--src/test/util/mining.cpp44
-rw-r--r--src/test/util/mining.h15
-rw-r--r--src/test/util/net.cpp27
-rw-r--r--src/test/util/net.h138
-rw-r--r--src/test/util/script.cpp13
-rw-r--r--src/test/util/script.h3
-rw-r--r--src/test/util/setup_common.cpp179
-rw-r--r--src/test/util/setup_common.h47
-rw-r--r--src/test/util/wallet.cpp19
-rw-r--r--src/test/util/wallet.h6
-rw-r--r--src/test/util_tests.cpp662
-rw-r--r--src/test/util_threadnames_tests.cpp6
-rw-r--r--src/test/validation_block_tests.cpp42
-rw-r--r--src/test/validation_chainstate_tests.cpp85
-rw-r--r--src/test/validation_chainstatemanager_tests.cpp206
-rw-r--r--src/test/validation_flush_tests.cpp33
-rw-r--r--src/test/validation_tests.cpp13
-rw-r--r--src/test/versionbits_tests.cpp400
-rw-r--r--src/threadinterrupt.h4
-rw-r--r--src/timedata.cpp12
-rw-r--r--src/tinyformat.h10
-rw-r--r--src/torcontrol.cpp60
-rw-r--r--src/torcontrol.h4
-rw-r--r--src/txdb.cpp102
-rw-r--r--src/txdb.h40
-rw-r--r--src/txmempool.cpp361
-rw-r--r--src/txmempool.h251
-rw-r--r--src/txorphanage.h13
-rw-r--r--src/txrequest.cpp9
-rw-r--r--src/uint256.h10
-rw-r--r--src/univalue/.cirrus.yml44
-rw-r--r--src/univalue/.travis.yml51
-rw-r--r--src/univalue/Makefile.am90
-rw-r--r--src/univalue/build-aux/m4/ax_cxx_compile_stdcxx.m4962
-rw-r--r--src/univalue/configure.ac9
-rw-r--r--src/univalue/gen/gen.cpp4
-rw-r--r--src/univalue/include/univalue.h4
-rw-r--r--src/univalue/lib/univalue.cpp16
-rw-r--r--src/univalue/lib/univalue_escapes.h442
-rw-r--r--src/univalue/lib/univalue_get.cpp7
-rw-r--r--src/univalue/lib/univalue_read.cpp6
-rw-r--r--src/univalue/lib/univalue_utffilter.h2
-rw-r--r--src/univalue/lib/univalue_write.cpp7
-rw-r--r--src/univalue/sources.mk95
-rw-r--r--src/univalue/test/object.cpp2
-rw-r--r--src/univalue/test/unitester.cpp4
-rw-r--r--src/util/asmap.cpp47
-rw-r--r--src/util/asmap.h9
-rw-r--r--src/util/check.h10
-rw-r--r--src/util/epochguard.h12
-rw-r--r--src/util/error.cpp6
-rw-r--r--src/util/fastrange.h51
-rw-r--r--src/util/getuniquepath.cpp4
-rw-r--r--src/util/golombrice.h2
-rw-r--r--src/util/hash_type.h72
-rw-r--r--src/util/hasher.h6
-rw-r--r--src/util/macros.h2
-rw-r--r--src/util/memory.h20
-rw-r--r--src/util/message.cpp2
-rw-r--r--src/util/moneystr.cpp32
-rw-r--r--src/util/moneystr.h7
-rw-r--r--src/util/overflow.h31
-rw-r--r--src/util/overloaded.h22
-rw-r--r--src/util/rbf.h15
-rw-r--r--src/util/readwritefile.h4
-rw-r--r--src/util/ref.h38
-rw-r--r--src/util/serfloat.cpp64
-rw-r--r--src/util/serfloat.h16
-rw-r--r--src/util/settings.cpp32
-rw-r--r--src/util/sock.cpp59
-rw-r--r--src/util/sock.h56
-rw-r--r--src/util/spanparsing.cpp8
-rw-r--r--src/util/strencodings.cpp221
-rw-r--r--src/util/strencodings.h119
-rw-r--r--src/util/string.h12
-rw-r--r--src/util/syscall_sandbox.cpp922
-rw-r--r--src/util/syscall_sandbox.h57
-rw-r--r--src/util/system.cpp392
-rw-r--r--src/util/system.h130
-rw-r--r--src/util/thread.cpp27
-rw-r--r--src/util/thread.h18
-rw-r--r--src/util/time.cpp4
-rw-r--r--src/util/time.h6
-rw-r--r--src/util/tokenpipe.cpp109
-rw-r--r--src/util/tokenpipe.h127
-rw-r--r--src/util/trace.h4
-rw-r--r--src/util/translation.h8
-rw-r--r--src/util/types.h11
-rw-r--r--src/validation.cpp2948
-rw-r--r--src/validation.h677
-rw-r--r--src/versionbits.cpp91
-rw-r--r--src/versionbits.h49
-rw-r--r--src/versionbitsinfo.cpp18
-rw-r--r--src/versionbitsinfo.h17
-rw-r--r--src/wallet/bdb.cpp65
-rw-r--r--src/wallet/bdb.h10
-rw-r--r--src/wallet/coincontrol.cpp20
-rw-r--r--src/wallet/coincontrol.h88
-rw-r--r--src/wallet/coinselection.cpp221
-rw-r--r--src/wallet/coinselection.h170
-rw-r--r--src/wallet/context.cpp2
-rw-r--r--src/wallet/context.h22
-rw-r--r--src/wallet/crypter.cpp10
-rw-r--r--src/wallet/crypter.h2
-rw-r--r--src/wallet/db.cpp42
-rw-r--r--src/wallet/db.h12
-rw-r--r--src/wallet/dump.cpp48
-rw-r--r--src/wallet/dump.h6
-rw-r--r--src/wallet/external_signer_scriptpubkeyman.cpp21
-rw-r--r--src/wallet/external_signer_scriptpubkeyman.h15
-rw-r--r--src/wallet/feebumper.cpp24
-rw-r--r--src/wallet/feebumper.h9
-rw-r--r--src/wallet/fees.cpp2
-rw-r--r--src/wallet/fees.h11
-rw-r--r--src/wallet/init.cpp44
-rw-r--r--src/wallet/interfaces.cpp157
-rw-r--r--src/wallet/ismine.h15
-rw-r--r--src/wallet/load.cpp95
-rw-r--r--src/wallet/load.h16
-rw-r--r--src/wallet/receive.cpp475
-rw-r--r--src/wallet/receive.h66
-rw-r--r--src/wallet/rpc/addresses.cpp806
-rw-r--r--src/wallet/rpc/backup.cpp (renamed from src/wallet/rpcdump.cpp)424
-rw-r--r--src/wallet/rpc/coins.cpp735
-rw-r--r--src/wallet/rpc/encrypt.cpp250
-rw-r--r--src/wallet/rpc/signmessage.cpp70
-rw-r--r--src/wallet/rpc/spend.cpp1446
-rw-r--r--src/wallet/rpc/transactions.cpp962
-rw-r--r--src/wallet/rpc/util.cpp152
-rw-r--r--src/wallet/rpc/util.h46
-rw-r--r--src/wallet/rpc/wallet.cpp735
-rw-r--r--src/wallet/rpc/wallet.h16
-rw-r--r--src/wallet/rpcsigner.cpp111
-rw-r--r--src/wallet/rpcsigner.h25
-rw-r--r--src/wallet/rpcwallet.cpp4651
-rw-r--r--src/wallet/rpcwallet.h39
-rw-r--r--src/wallet/salvage.cpp14
-rw-r--r--src/wallet/salvage.h2
-rw-r--r--src/wallet/scriptpubkeyman.cpp275
-rw-r--r--src/wallet/scriptpubkeyman.h102
-rw-r--r--src/wallet/spend.cpp1030
-rw-r--r--src/wallet/spend.h148
-rw-r--r--src/wallet/sqlite.cpp217
-rw-r--r--src/wallet/sqlite.h3
-rw-r--r--src/wallet/test/coinselector_tests.cpp836
-rw-r--r--src/wallet/test/db_tests.cpp25
-rw-r--r--src/wallet/test/fuzz/notifications.cpp172
-rw-r--r--src/wallet/test/init_test_fixture.cpp19
-rw-r--r--src/wallet/test/init_test_fixture.h6
-rw-r--r--src/wallet/test/init_tests.cpp26
-rw-r--r--src/wallet/test/ismine_tests.cpp44
-rw-r--r--src/wallet/test/psbt_wallet_tests.cpp54
-rw-r--r--src/wallet/test/scriptpubkeyman_tests.cpp6
-rw-r--r--src/wallet/test/spend_tests.cpp118
-rw-r--r--src/wallet/test/util.cpp48
-rw-r--r--src/wallet/test/util.h23
-rw-r--r--src/wallet/test/wallet_crypto_tests.cpp2
-rw-r--r--src/wallet/test/wallet_test_fixture.cpp18
-rw-r--r--src/wallet/test/wallet_test_fixture.h7
-rw-r--r--src/wallet/test/wallet_tests.cpp293
-rw-r--r--src/wallet/test/wallet_transaction_tests.cpp26
-rw-r--r--src/wallet/test/walletdb_tests.cpp2
-rw-r--r--src/wallet/transaction.cpp27
-rw-r--r--src/wallet/transaction.h309
-rw-r--r--src/wallet/wallet.cpp2673
-rw-r--r--src/wallet/wallet.h734
-rw-r--r--src/wallet/walletdb.cpp150
-rw-r--r--src/wallet/walletdb.h37
-rw-r--r--src/wallet/wallettool.cpp49
-rw-r--r--src/wallet/wallettool.h9
-rw-r--r--src/wallet/walletutil.cpp8
-rw-r--r--src/wallet/walletutil.h7
-rw-r--r--src/walletinitinterface.h4
-rw-r--r--src/warnings.h4
-rw-r--r--src/zmq/zmqabstractnotifier.h5
-rw-r--r--src/zmq/zmqnotificationinterface.cpp2
-rw-r--r--src/zmq/zmqpublishnotifier.cpp43
-rw-r--r--src/zmq/zmqrpc.cpp2
-rw-r--r--src/zmq/zmqrpc.h4
-rw-r--r--src/zmq/zmqutil.cpp10
-rw-r--r--src/zmq/zmqutil.h6
925 files changed, 99201 insertions, 33284 deletions
diff --git a/src/.clang-format b/src/.clang-format
index a69c57f3e0..791b3b8f9f 100644
--- a/src/.clang-format
+++ b/src/.clang-format
@@ -34,14 +34,6 @@ IndentWidth: 4
KeepEmptyLinesAtTheStartOfBlocks: false
MaxEmptyLinesToKeep: 2
NamespaceIndentation: None
-ObjCSpaceAfterProperty: false
-ObjCSpaceBeforeProtocolList: false
-PenaltyBreakBeforeFirstCallParameter: 1
-PenaltyBreakComment: 300
-PenaltyBreakFirstLessLess: 120
-PenaltyBreakString: 1000
-PenaltyExcessCharacter: 1000000
-PenaltyReturnTypeOnItsOwnLine: 200
PointerAlignment: Left
SpaceBeforeAssignmentOperators: true
SpaceBeforeParens: ControlStatements
@@ -51,6 +43,5 @@ SpacesInAngles: false
SpacesInContainerLiterals: true
SpacesInCStyleCastParentheses: false
SpacesInParentheses: false
-Standard: Cpp11
-TabWidth: 8
+Standard: c++17
UseTab: Never
diff --git a/src/.clang-tidy b/src/.clang-tidy
new file mode 100644
index 0000000000..27616ad072
--- /dev/null
+++ b/src/.clang-tidy
@@ -0,0 +1,2 @@
+Checks: '-*,bugprone-argument-comment'
+WarningsAsErrors: bugprone-argument-comment
diff --git a/src/Makefile.am b/src/Makefile.am
index 56f561a172..417a611181 100644
--- a/src/Makefile.am
+++ b/src/Makefile.am
@@ -3,32 +3,21 @@
# file COPYING or http://www.opensource.org/licenses/mit-license.php.
# Pattern rule to print variables, e.g. make print-top_srcdir
-print-%:
- @echo '$*' = '$($*)'
+print-%: FORCE
+ @echo '$*'='$($*)'
-DIST_SUBDIRS = secp256k1 univalue
+DIST_SUBDIRS = secp256k1
-AM_LDFLAGS = $(LIBTOOL_LDFLAGS) $(HARDENED_LDFLAGS) $(GPROF_LDFLAGS) $(SANITIZER_LDFLAGS)
-AM_CXXFLAGS = $(DEBUG_CXXFLAGS) $(HARDENED_CXXFLAGS) $(WARN_CXXFLAGS) $(NOWARN_CXXFLAGS) $(ERROR_CXXFLAGS) $(GPROF_CXXFLAGS) $(SANITIZER_CXXFLAGS)
+AM_LDFLAGS = $(LIBTOOL_LDFLAGS) $(HARDENED_LDFLAGS) $(GPROF_LDFLAGS) $(SANITIZER_LDFLAGS) $(LTO_LDFLAGS)
+AM_CXXFLAGS = $(DEBUG_CXXFLAGS) $(HARDENED_CXXFLAGS) $(WARN_CXXFLAGS) $(NOWARN_CXXFLAGS) $(ERROR_CXXFLAGS) $(GPROF_CXXFLAGS) $(SANITIZER_CXXFLAGS) $(LTO_CXXFLAGS)
AM_CPPFLAGS = $(DEBUG_CPPFLAGS) $(HARDENED_CPPFLAGS)
AM_LIBTOOLFLAGS = --preserve-dup-deps
PTHREAD_FLAGS = $(PTHREAD_CFLAGS) $(PTHREAD_LIBS)
EXTRA_LIBRARIES =
-if EMBEDDED_UNIVALUE
-LIBUNIVALUE = univalue/libunivalue.la
+BITCOIN_INCLUDES=-I$(builddir) -I$(srcdir)/$(MINISKETCH_INCLUDE_DIR_INT) -I$(srcdir)/secp256k1/include -I$(srcdir)/$(UNIVALUE_INCLUDE_DIR_INT) $(BDB_CPPFLAGS) $(BOOST_CPPFLAGS) $(LEVELDB_CPPFLAGS)
-$(LIBUNIVALUE): $(wildcard univalue/lib/*) $(wildcard univalue/include/*)
- $(AM_V_at)$(MAKE) $(AM_MAKEFLAGS) -C $(@D) $(@F)
-else
-LIBUNIVALUE = $(UNIVALUE_LIBS)
-endif
-
-BITCOIN_INCLUDES=-I$(builddir) -I$(srcdir)/secp256k1/include $(BDB_CPPFLAGS) $(BOOST_CPPFLAGS) $(LEVELDB_CPPFLAGS)
-
-BITCOIN_INCLUDES += $(UNIVALUE_CFLAGS)
-
-LIBBITCOIN_SERVER=libbitcoin_server.a
+LIBBITCOIN_NODE=libbitcoin_node.a
LIBBITCOIN_COMMON=libbitcoin_common.a
LIBBITCOIN_CONSENSUS=libbitcoin_consensus.a
LIBBITCOIN_CLI=libbitcoin_cli.a
@@ -57,9 +46,13 @@ if ENABLE_AVX2
LIBBITCOIN_CRYPTO_AVX2 = crypto/libbitcoin_crypto_avx2.a
LIBBITCOIN_CRYPTO += $(LIBBITCOIN_CRYPTO_AVX2)
endif
-if ENABLE_SHANI
-LIBBITCOIN_CRYPTO_SHANI = crypto/libbitcoin_crypto_shani.a
-LIBBITCOIN_CRYPTO += $(LIBBITCOIN_CRYPTO_SHANI)
+if ENABLE_X86_SHANI
+LIBBITCOIN_CRYPTO_X86_SHANI = crypto/libbitcoin_crypto_x86_shani.a
+LIBBITCOIN_CRYPTO += $(LIBBITCOIN_CRYPTO_X86_SHANI)
+endif
+if ENABLE_ARM_SHANI
+LIBBITCOIN_CRYPTO_ARM_SHANI = crypto/libbitcoin_crypto_arm_shani.a
+LIBBITCOIN_CRYPTO += $(LIBBITCOIN_CRYPTO_ARM_SHANI)
endif
$(LIBSECP256K1): $(wildcard secp256k1/src/*.h) $(wildcard secp256k1/src/*.c) $(wildcard secp256k1/include/*)
@@ -72,13 +65,15 @@ EXTRA_LIBRARIES += \
$(LIBBITCOIN_UTIL) \
$(LIBBITCOIN_COMMON) \
$(LIBBITCOIN_CONSENSUS) \
- $(LIBBITCOIN_SERVER) \
+ $(LIBBITCOIN_NODE) \
$(LIBBITCOIN_CLI) \
+ $(LIBBITCOIN_IPC) \
$(LIBBITCOIN_WALLET) \
$(LIBBITCOIN_WALLET_TOOL) \
$(LIBBITCOIN_ZMQ)
lib_LTLIBRARIES = $(LIBBITCOINCONSENSUS)
+noinst_LTLIBRARIES =
bin_PROGRAMS =
noinst_PROGRAMS =
@@ -116,13 +111,13 @@ endif
BITCOIN_CORE_H = \
addrdb.h \
addrman.h \
+ addrman_impl.h \
attributes.h \
banman.h \
base58.h \
bech32.h \
blockencodings.h \
blockfilter.h \
- bloom.h \
chain.h \
chainparams.h \
chainparamsbase.h \
@@ -130,6 +125,7 @@ BITCOIN_CORE_H = \
checkqueue.h \
clientversion.h \
coins.h \
+ common/bloom.h \
compat.h \
compat/assumptions.h \
compat/byteswap.h \
@@ -144,6 +140,9 @@ BITCOIN_CORE_H = \
core_memusage.h \
cuckoocache.h \
dbwrapper.h \
+ deploymentinfo.h \
+ deploymentstatus.h \
+ external_signer.h \
flatfile.h \
fs.h \
httprpc.h \
@@ -151,12 +150,17 @@ BITCOIN_CORE_H = \
i2p.h \
index/base.h \
index/blockfilterindex.h \
+ index/coinstatsindex.h \
index/disktxpos.h \
index/txindex.h \
indirectmap.h \
init.h \
+ init/common.h \
interfaces/chain.h \
+ interfaces/echo.h \
interfaces/handler.h \
+ interfaces/init.h \
+ interfaces/ipc.h \
interfaces/node.h \
interfaces/wallet.h \
key.h \
@@ -166,7 +170,6 @@ BITCOIN_CORE_H = \
mapport.h \
memusage.h \
merkleblock.h \
- miner.h \
net.h \
net_permissions.h \
net_processing.h \
@@ -174,18 +177,23 @@ BITCOIN_CORE_H = \
netaddress.h \
netbase.h \
netmessagemaker.h \
+ node/blockstorage.h \
+ node/caches.h \
+ node/chainstate.h \
node/coin.h \
node/coinstats.h \
node/context.h \
+ node/miner.h \
+ node/minisketchwrapper.h \
node/psbt.h \
node/transaction.h \
node/ui_interface.h \
node/utxo_snapshot.h \
noui.h \
- optional.h \
outputtype.h \
policy/feerate.h \
policy/fees.h \
+ policy/packages.h \
policy/policy.h \
policy/rbf.h \
policy/settings.h \
@@ -203,6 +211,7 @@ BITCOIN_CORE_H = \
rpc/register.h \
rpc/request.h \
rpc/server.h \
+ rpc/server_util.h \
rpc/util.h \
scheduler.h \
script/descriptor.h \
@@ -235,33 +244,39 @@ BITCOIN_CORE_H = \
util/check.h \
util/epochguard.h \
util/error.h \
+ util/fastrange.h \
util/fees.h \
util/getuniquepath.h \
util/golombrice.h \
+ util/hash_type.h \
util/hasher.h \
util/macros.h \
- util/memory.h \
util/message.h \
util/moneystr.h \
+ util/overflow.h \
+ util/overloaded.h \
util/rbf.h \
util/readwritefile.h \
- util/ref.h \
+ util/serfloat.h \
util/settings.h \
util/sock.h \
util/spanparsing.h \
util/string.h \
+ util/syscall_sandbox.h \
util/system.h \
+ util/thread.h \
util/threadnames.h \
util/time.h \
+ util/tokenpipe.h \
util/trace.h \
util/translation.h \
+ util/types.h \
util/ui_change_type.h \
util/url.h \
util/vector.h \
validation.h \
validationinterface.h \
versionbits.h \
- versionbitsinfo.h \
wallet/bdb.h \
wallet/coincontrol.h \
wallet/coinselection.h \
@@ -269,17 +284,19 @@ BITCOIN_CORE_H = \
wallet/crypter.h \
wallet/db.h \
wallet/dump.h \
- wallet/external_signer.h \
wallet/external_signer_scriptpubkeyman.h \
wallet/feebumper.h \
wallet/fees.h \
wallet/ismine.h \
wallet/load.h \
- wallet/rpcsigner.h \
- wallet/rpcwallet.h \
+ wallet/receive.h \
+ wallet/rpc/util.h \
+ wallet/rpc/wallet.h \
wallet/salvage.h \
wallet/scriptpubkeyman.h \
+ wallet/spend.h \
wallet/sqlite.h \
+ wallet/transaction.h \
wallet/wallet.h \
wallet/walletdb.h \
wallet/wallettool.h \
@@ -299,13 +316,15 @@ obj/build.h: FORCE
"$(abs_top_srcdir)"
libbitcoin_util_a-clientversion.$(OBJEXT): obj/build.h
+ipc/capnp/libbitcoin_ipc_a-ipc.$(OBJEXT): $(libbitcoin_ipc_mpgen_input:=.h)
+
# server: shared between bitcoind and bitcoin-qt
# Contains code accessing mempool and chain state that is meant to be separated
# from wallet and gui code (see node/README.md). Shared code should go in
# libbitcoin_common or libbitcoin_util libraries, instead.
-libbitcoin_server_a_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES) $(MINIUPNPC_CPPFLAGS) $(NATPMP_CPPFLAGS) $(EVENT_CFLAGS) $(EVENT_PTHREADS_CFLAGS)
-libbitcoin_server_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
-libbitcoin_server_a_SOURCES = \
+libbitcoin_node_a_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES) $(MINIUPNPC_CPPFLAGS) $(NATPMP_CPPFLAGS) $(EVENT_CFLAGS) $(EVENT_PTHREADS_CFLAGS)
+libbitcoin_node_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
+libbitcoin_node_a_SOURCES = \
addrdb.cpp \
addrman.cpp \
banman.cpp \
@@ -314,27 +333,34 @@ libbitcoin_server_a_SOURCES = \
chain.cpp \
consensus/tx_verify.cpp \
dbwrapper.cpp \
+ deploymentstatus.cpp \
flatfile.cpp \
httprpc.cpp \
httpserver.cpp \
i2p.cpp \
index/base.cpp \
index/blockfilterindex.cpp \
+ index/coinstatsindex.cpp \
index/txindex.cpp \
init.cpp \
mapport.cpp \
- miner.cpp \
net.cpp \
net_processing.cpp \
+ node/blockstorage.cpp \
+ node/caches.cpp \
+ node/chainstate.cpp \
node/coin.cpp \
node/coinstats.cpp \
node/context.cpp \
node/interfaces.cpp \
+ node/miner.cpp \
+ node/minisketchwrapper.cpp \
node/psbt.cpp \
node/transaction.cpp \
node/ui_interface.cpp \
noui.cpp \
policy/fees.cpp \
+ policy/packages.cpp \
policy/rbf.cpp \
policy/settings.cpp \
pow.cpp \
@@ -345,6 +371,7 @@ libbitcoin_server_a_SOURCES = \
rpc/net.cpp \
rpc/rawtransaction.cpp \
rpc/server.cpp \
+ rpc/server_util.cpp \
script/sigcache.cpp \
shutdown.cpp \
signet.cpp \
@@ -360,10 +387,10 @@ libbitcoin_server_a_SOURCES = \
$(BITCOIN_CORE_H)
if ENABLE_WALLET
-libbitcoin_server_a_SOURCES += wallet/init.cpp
+libbitcoin_node_a_SOURCES += wallet/init.cpp
endif
if !ENABLE_WALLET
-libbitcoin_server_a_SOURCES += dummywallet.cpp
+libbitcoin_node_a_SOURCES += dummywallet.cpp
endif
if ENABLE_ZMQ
@@ -389,15 +416,23 @@ libbitcoin_wallet_a_SOURCES = \
wallet/db.cpp \
wallet/dump.cpp \
wallet/external_signer_scriptpubkeyman.cpp \
- wallet/external_signer.cpp \
wallet/feebumper.cpp \
wallet/fees.cpp \
wallet/interfaces.cpp \
wallet/load.cpp \
- wallet/rpcdump.cpp \
- wallet/rpcsigner.cpp \
- wallet/rpcwallet.cpp \
+ wallet/receive.cpp \
+ wallet/rpc/addresses.cpp \
+ wallet/rpc/backup.cpp \
+ wallet/rpc/coins.cpp \
+ wallet/rpc/encrypt.cpp \
+ wallet/rpc/spend.cpp \
+ wallet/rpc/signmessage.cpp \
+ wallet/rpc/transactions.cpp \
+ wallet/rpc/util.cpp \
+ wallet/rpc/wallet.cpp \
wallet/scriptpubkeyman.cpp \
+ wallet/spend.cpp \
+ wallet/transaction.cpp \
wallet/wallet.cpp \
wallet/walletdb.cpp \
wallet/walletutil.cpp \
@@ -467,19 +502,25 @@ crypto_libbitcoin_crypto_avx2_a_CXXFLAGS += $(AVX2_CXXFLAGS)
crypto_libbitcoin_crypto_avx2_a_CPPFLAGS += -DENABLE_AVX2
crypto_libbitcoin_crypto_avx2_a_SOURCES = crypto/sha256_avx2.cpp
-crypto_libbitcoin_crypto_shani_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
-crypto_libbitcoin_crypto_shani_a_CPPFLAGS = $(AM_CPPFLAGS)
-crypto_libbitcoin_crypto_shani_a_CXXFLAGS += $(SHANI_CXXFLAGS)
-crypto_libbitcoin_crypto_shani_a_CPPFLAGS += -DENABLE_SHANI
-crypto_libbitcoin_crypto_shani_a_SOURCES = crypto/sha256_shani.cpp
+crypto_libbitcoin_crypto_x86_shani_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
+crypto_libbitcoin_crypto_x86_shani_a_CPPFLAGS = $(AM_CPPFLAGS)
+crypto_libbitcoin_crypto_x86_shani_a_CXXFLAGS += $(X86_SHANI_CXXFLAGS)
+crypto_libbitcoin_crypto_x86_shani_a_CPPFLAGS += -DENABLE_X86_SHANI
+crypto_libbitcoin_crypto_x86_shani_a_SOURCES = crypto/sha256_x86_shani.cpp
+
+crypto_libbitcoin_crypto_arm_shani_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
+crypto_libbitcoin_crypto_arm_shani_a_CPPFLAGS = $(AM_CPPFLAGS)
+crypto_libbitcoin_crypto_arm_shani_a_CXXFLAGS += $(ARM_SHANI_CXXFLAGS)
+crypto_libbitcoin_crypto_arm_shani_a_CPPFLAGS += -DENABLE_ARM_SHANI
+crypto_libbitcoin_crypto_arm_shani_a_SOURCES = crypto/sha256_arm_shani.cpp
# consensus: shared between all executables that validate any consensus rules.
libbitcoin_consensus_a_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES)
libbitcoin_consensus_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
libbitcoin_consensus_a_SOURCES = \
- amount.h \
arith_uint256.cpp \
arith_uint256.h \
+ consensus/amount.h \
consensus/merkle.cpp \
consensus/merkle.h \
consensus/params.h \
@@ -516,15 +557,19 @@ libbitcoin_common_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
libbitcoin_common_a_SOURCES = \
base58.cpp \
bech32.cpp \
- bloom.cpp \
chainparams.cpp \
coins.cpp \
+ common/bloom.cpp \
compressor.cpp \
core_read.cpp \
core_write.cpp \
+ deploymentinfo.cpp \
+ external_signer.cpp \
+ init/common.cpp \
key.cpp \
key_io.cpp \
merkleblock.cpp \
+ net_types.cpp \
netaddress.cpp \
netbase.cpp \
net_permissions.cpp \
@@ -534,30 +579,31 @@ libbitcoin_common_a_SOURCES = \
protocol.cpp \
psbt.cpp \
rpc/rawtransaction_util.cpp \
+ rpc/external_signer.cpp \
rpc/util.cpp \
scheduler.cpp \
script/descriptor.cpp \
script/sign.cpp \
script/signingprovider.cpp \
script/standard.cpp \
- versionbitsinfo.cpp \
warnings.cpp \
$(BITCOIN_CORE_H)
# util: shared between all executables.
# This library *must* be included to make sure that the glibc
-# backward-compatibility objects and their sanity checks are linked.
+# sanity checks are linked.
libbitcoin_util_a_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES)
libbitcoin_util_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
libbitcoin_util_a_SOURCES = \
support/lockedpool.cpp \
chainparamsbase.cpp \
clientversion.cpp \
- compat/glibc_sanity.cpp \
compat/glibcxx_sanity.cpp \
compat/strnlen.cpp \
fs.cpp \
+ interfaces/echo.cpp \
interfaces/handler.cpp \
+ interfaces/init.cpp \
logging.cpp \
random.cpp \
randomenv.cpp \
@@ -579,22 +625,21 @@ libbitcoin_util_a_SOURCES = \
util/rbf.cpp \
util/readwritefile.cpp \
util/settings.cpp \
+ util/thread.cpp \
util/threadnames.cpp \
+ util/serfloat.cpp \
util/spanparsing.cpp \
util/strencodings.cpp \
util/string.cpp \
+ util/syscall_sandbox.cpp \
util/time.cpp \
+ util/tokenpipe.cpp \
$(BITCOIN_CORE_H)
if USE_LIBEVENT
libbitcoin_util_a_SOURCES += util/url.cpp
endif
-if GLIBC_BACK_COMPAT
-libbitcoin_util_a_SOURCES += compat/glibc_compat.cpp
-AM_LDFLAGS += $(COMPAT_LDFLAGS)
-endif
-
# cli: shared between bitcoin-cli and bitcoin-qt
libbitcoin_cli_a_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES)
libbitcoin_cli_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
@@ -630,19 +675,19 @@ bitcoin_bin_ldadd = \
$(LIBMEMENV) \
$(LIBSECP256K1)
-bitcoin_bin_ldadd += $(BOOST_LIBS) $(BDB_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(EVENT_PTHREADS_LIBS) $(EVENT_LIBS) $(ZMQ_LIBS) $(SQLITE_LIBS)
+bitcoin_bin_ldadd += $(BDB_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(EVENT_PTHREADS_LIBS) $(EVENT_LIBS) $(ZMQ_LIBS) $(SQLITE_LIBS)
-bitcoind_SOURCES = $(bitcoin_daemon_sources)
+bitcoind_SOURCES = $(bitcoin_daemon_sources) init/bitcoind.cpp
bitcoind_CPPFLAGS = $(bitcoin_bin_cppflags)
bitcoind_CXXFLAGS = $(bitcoin_bin_cxxflags)
bitcoind_LDFLAGS = $(bitcoin_bin_ldflags)
-bitcoind_LDADD = $(LIBBITCOIN_SERVER) $(bitcoin_bin_ldadd)
+bitcoind_LDADD = $(LIBBITCOIN_NODE) $(bitcoin_bin_ldadd)
-bitcoin_node_SOURCES = $(bitcoin_daemon_sources)
+bitcoin_node_SOURCES = $(bitcoin_daemon_sources) init/bitcoin-node.cpp
bitcoin_node_CPPFLAGS = $(bitcoin_bin_cppflags)
bitcoin_node_CXXFLAGS = $(bitcoin_bin_cxxflags)
bitcoin_node_LDFLAGS = $(bitcoin_bin_ldflags)
-bitcoin_node_LDADD = $(LIBBITCOIN_SERVER) $(bitcoin_bin_ldadd)
+bitcoin_node_LDADD = $(LIBBITCOIN_NODE) $(bitcoin_bin_ldadd) $(LIBBITCOIN_IPC) $(LIBMULTIPROCESS_LIBS)
# bitcoin-cli binary #
bitcoin_cli_SOURCES = bitcoin-cli.cpp
@@ -660,7 +705,7 @@ bitcoin_cli_LDADD = \
$(LIBBITCOIN_UTIL) \
$(LIBBITCOIN_CRYPTO)
-bitcoin_cli_LDADD += $(BOOST_LIBS) $(EVENT_LIBS)
+bitcoin_cli_LDADD += $(EVENT_LIBS)
#
# bitcoin-tx binary #
@@ -680,16 +725,25 @@ bitcoin_tx_LDADD = \
$(LIBBITCOIN_CONSENSUS) \
$(LIBBITCOIN_CRYPTO) \
$(LIBSECP256K1)
-
-bitcoin_tx_LDADD += $(BOOST_LIBS)
#
# bitcoin-wallet binary #
bitcoin_wallet_SOURCES = bitcoin-wallet.cpp
+bitcoin_wallet_SOURCES += init/bitcoin-wallet.cpp
bitcoin_wallet_CPPFLAGS = $(bitcoin_bin_cppflags)
bitcoin_wallet_CXXFLAGS = $(bitcoin_bin_cxxflags)
bitcoin_wallet_LDFLAGS = $(bitcoin_bin_ldflags)
-bitcoin_wallet_LDADD = $(LIBBITCOIN_WALLET_TOOL) $(bitcoin_bin_ldadd)
+bitcoin_wallet_LDADD = \
+ $(LIBBITCOIN_WALLET_TOOL) \
+ $(LIBBITCOIN_WALLET) \
+ $(LIBBITCOIN_COMMON) \
+ $(LIBBITCOIN_UTIL) \
+ $(LIBUNIVALUE) \
+ $(LIBBITCOIN_CONSENSUS) \
+ $(LIBBITCOIN_CRYPTO) \
+ $(LIBSECP256K1) \
+ $(BDB_LIBS) \
+ $(SQLITE_LIBS)
if TARGET_WINDOWS
bitcoin_wallet_SOURCES += bitcoin-wallet-res.rc
@@ -713,8 +767,6 @@ bitcoin_util_LDADD = \
$(LIBBITCOIN_CONSENSUS) \
$(LIBBITCOIN_CRYPTO) \
$(LIBSECP256K1)
-
-bitcoin_util_LDADD += $(BOOST_LIBS)
#
# bitcoinconsensus library #
@@ -722,10 +774,6 @@ if BUILD_BITCOIN_LIBS
include_HEADERS = script/bitcoinconsensus.h
libbitcoinconsensus_la_SOURCES = support/cleanse.cpp $(crypto_libbitcoin_crypto_base_a_SOURCES) $(libbitcoin_consensus_a_SOURCES)
-if GLIBC_BACK_COMPAT
- libbitcoinconsensus_la_SOURCES += compat/glibc_compat.cpp
-endif
-
libbitcoinconsensus_la_LDFLAGS = $(AM_LDFLAGS) -no-undefined $(RELDFLAGS)
libbitcoinconsensus_la_LIBADD = $(LIBSECP256K1)
libbitcoinconsensus_la_CPPFLAGS = $(AM_CPPFLAGS) -I$(builddir)/obj -I$(srcdir)/secp256k1/include -DBUILD_BITCOIN_INTERNAL
@@ -774,7 +822,6 @@ $(top_srcdir)/$(subdir)/config/bitcoin-config.h.in: $(am__configure_deps)
clean-local:
-$(MAKE) -C secp256k1 clean
- -$(MAKE) -C univalue clean
-rm -f leveldb/*/*.gcda leveldb/*/*.gcno leveldb/helpers/memenv/*.gcda leveldb/helpers/memenv/*.gcno
-rm -f config.h
-rm -rf test/__pycache__
@@ -785,31 +832,54 @@ clean-local:
$(AM_V_GEN) $(WINDRES) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(CPPFLAGS) -DWINDRES_PREPROC -i $< -o $@
check-symbols: $(bin_PROGRAMS)
-if TARGET_DARWIN
- @echo "Checking macOS dynamic libraries..."
- $(AM_V_at) OTOOL=$(OTOOL) $(PYTHON) $(top_srcdir)/contrib/devtools/symbol-check.py $(bin_PROGRAMS)
-endif
-
-if TARGET_WINDOWS
- @echo "Checking Windows dynamic libraries..."
- $(AM_V_at) OBJDUMP=$(OBJDUMP) $(PYTHON) $(top_srcdir)/contrib/devtools/symbol-check.py $(bin_PROGRAMS)
-endif
-
-if GLIBC_BACK_COMPAT
- @echo "Checking glibc back compat..."
- $(AM_V_at) CPPFILT=$(CPPFILT) $(PYTHON) $(top_srcdir)/contrib/devtools/symbol-check.py $(bin_PROGRAMS)
-endif
+ @echo "Running symbol and dynamic library checks..."
+ $(AM_V_at) $(PYTHON) $(top_srcdir)/contrib/devtools/symbol-check.py $(bin_PROGRAMS)
check-security: $(bin_PROGRAMS)
if HARDEN
@echo "Checking binary security..."
- $(AM_V_at) OBJDUMP=$(OBJDUMP) OTOOL=$(OTOOL) $(PYTHON) $(top_srcdir)/contrib/devtools/security-check.py $(bin_PROGRAMS)
-endif
+ $(AM_V_at) $(PYTHON) $(top_srcdir)/contrib/devtools/security-check.py $(bin_PROGRAMS)
+endif
+
+libbitcoin_ipc_mpgen_input = \
+ ipc/capnp/echo.capnp \
+ ipc/capnp/init.capnp
+EXTRA_DIST += $(libbitcoin_ipc_mpgen_input)
+%.capnp:
+
+if BUILD_MULTIPROCESS
+LIBBITCOIN_IPC=libbitcoin_ipc.a
+libbitcoin_ipc_a_SOURCES = \
+ ipc/capnp/context.h \
+ ipc/capnp/init-types.h \
+ ipc/capnp/protocol.cpp \
+ ipc/capnp/protocol.h \
+ ipc/context.h \
+ ipc/exception.h \
+ ipc/interfaces.cpp \
+ ipc/process.cpp \
+ ipc/process.h \
+ ipc/protocol.h
+libbitcoin_ipc_a_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES)
+libbitcoin_ipc_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS) $(LIBMULTIPROCESS_CFLAGS)
+
+include $(MPGEN_PREFIX)/include/mpgen.mk
+libbitcoin_ipc_mpgen_output = \
+ $(libbitcoin_ipc_mpgen_input:=.c++) \
+ $(libbitcoin_ipc_mpgen_input:=.h) \
+ $(libbitcoin_ipc_mpgen_input:=.proxy-client.c++) \
+ $(libbitcoin_ipc_mpgen_input:=.proxy-server.c++) \
+ $(libbitcoin_ipc_mpgen_input:=.proxy-types.c++) \
+ $(libbitcoin_ipc_mpgen_input:=.proxy-types.h) \
+ $(libbitcoin_ipc_mpgen_input:=.proxy.h)
+nodist_libbitcoin_ipc_a_SOURCES = $(libbitcoin_ipc_mpgen_output)
+CLEANFILES += $(libbitcoin_ipc_mpgen_output)
+endif
+
+include Makefile.minisketch.include
-if EMBEDDED_LEVELDB
include Makefile.crc32c.include
include Makefile.leveldb.include
-endif
include Makefile.test_util.include
include Makefile.test_fuzz.include
@@ -829,3 +899,5 @@ endif
if ENABLE_QT_TESTS
include Makefile.qttest.include
endif
+
+include Makefile.univalue.include
diff --git a/src/Makefile.bench.include b/src/Makefile.bench.include
index 56b8ca8ce6..0bcce6ebe1 100644
--- a/src/Makefile.bench.include
+++ b/src/Makefile.bench.include
@@ -35,6 +35,7 @@ bench_bench_bitcoin_SOURCES = \
bench/mempool_stress.cpp \
bench/nanobench.h \
bench/nanobench.cpp \
+ bench/peer_eviction.cpp \
bench/rpc_blockchain.cpp \
bench/rpc_mempool.cpp \
bench/util_time.cpp \
@@ -50,7 +51,7 @@ nodist_bench_bench_bitcoin_SOURCES = $(GENERATED_BENCH_FILES)
bench_bench_bitcoin_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES) $(EVENT_CFLAGS) $(EVENT_PTHREADS_CFLAGS) -I$(builddir)/bench/
bench_bench_bitcoin_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
bench_bench_bitcoin_LDADD = \
- $(LIBBITCOIN_SERVER) \
+ $(LIBBITCOIN_NODE) \
$(LIBBITCOIN_WALLET) \
$(LIBBITCOIN_COMMON) \
$(LIBBITCOIN_UTIL) \
@@ -74,7 +75,7 @@ bench_bench_bitcoin_SOURCES += bench/coin_selection.cpp
bench_bench_bitcoin_SOURCES += bench/wallet_balance.cpp
endif
-bench_bench_bitcoin_LDADD += $(BOOST_LIBS) $(BDB_LIBS) $(EVENT_PTHREADS_LIBS) $(EVENT_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(SQLITE_LIBS)
+bench_bench_bitcoin_LDADD += $(BDB_LIBS) $(EVENT_PTHREADS_LIBS) $(EVENT_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(SQLITE_LIBS)
bench_bench_bitcoin_LDFLAGS = $(RELDFLAGS) $(AM_LDFLAGS) $(LIBTOOL_APP_LDFLAGS) $(PTHREAD_FLAGS)
CLEAN_BITCOIN_BENCH = bench/*.gcda bench/*.gcno $(GENERATED_BENCH_FILES)
diff --git a/src/Makefile.crc32c.include b/src/Makefile.crc32c.include
index 113272e65e..3cbe71792c 100644
--- a/src/Makefile.crc32c.include
+++ b/src/Makefile.crc32c.include
@@ -14,7 +14,6 @@ CRC32C_CPPFLAGS_INT += -I$(srcdir)/crc32c/include
CRC32C_CPPFLAGS_INT += -DHAVE_BUILTIN_PREFETCH=@HAVE_BUILTIN_PREFETCH@
CRC32C_CPPFLAGS_INT += -DHAVE_MM_PREFETCH=@HAVE_MM_PREFETCH@
CRC32C_CPPFLAGS_INT += -DHAVE_STRONG_GETAUXVAL=@HAVE_STRONG_GETAUXVAL@
-CRC32C_CPPFLAGS_INT += -DHAVE_WEAK_GETAUXVAL=@HAVE_WEAK_GETAUXVAL@
CRC32C_CPPFLAGS_INT += -DCRC32C_TESTS_BUILT_WITH_GLOG=0
if ENABLE_SSE42
diff --git a/src/Makefile.leveldb.include b/src/Makefile.leveldb.include
index 8a28f4f249..3bec92482a 100644
--- a/src/Makefile.leveldb.include
+++ b/src/Makefile.leveldb.include
@@ -8,9 +8,10 @@ LIBMEMENV_INT = leveldb/libmemenv.a
EXTRA_LIBRARIES += $(LIBLEVELDB_INT)
EXTRA_LIBRARIES += $(LIBMEMENV_INT)
-LIBLEVELDB += $(LIBLEVELDB_INT) $(LIBCRC32C)
-LIBMEMENV += $(LIBMEMENV_INT)
+LIBLEVELDB = $(LIBLEVELDB_INT) $(LIBCRC32C)
+LIBMEMENV = $(LIBMEMENV_INT)
+LEVELDB_CPPFLAGS =
LEVELDB_CPPFLAGS += -I$(srcdir)/leveldb/include
LEVELDB_CPPFLAGS += -I$(srcdir)/leveldb/helpers/memenv
@@ -22,6 +23,7 @@ LEVELDB_CPPFLAGS_INT += -DHAVE_SNAPPY=0 -DHAVE_CRC32C=1
LEVELDB_CPPFLAGS_INT += -DHAVE_FDATASYNC=@HAVE_FDATASYNC@
LEVELDB_CPPFLAGS_INT += -DHAVE_FULLFSYNC=@HAVE_FULLFSYNC@
LEVELDB_CPPFLAGS_INT += -DHAVE_O_CLOEXEC=@HAVE_O_CLOEXEC@
+LEVELDB_CPPFLAGS_INT += -DFALLTHROUGH_INTENDED=[[fallthrough]]
if WORDS_BIGENDIAN
LEVELDB_CPPFLAGS_INT += -DLEVELDB_IS_BIG_ENDIAN=1
diff --git a/src/Makefile.minisketch.include b/src/Makefile.minisketch.include
new file mode 100644
index 0000000000..b337f48349
--- /dev/null
+++ b/src/Makefile.minisketch.include
@@ -0,0 +1,43 @@
+include minisketch/sources.mk
+
+LIBMINISKETCH_CPPFLAGS=
+LIBMINISKETCH_CPPFLAGS += -DDISABLE_DEFAULT_FIELDS -DENABLE_FIELD_32
+
+LIBMINISKETCH = minisketch/libminisketch.a
+MINISKETCH_LIBS = $(LIBMINISKETCH)
+
+if ENABLE_CLMUL
+LIBMINISKETCH_CLMUL = minisketch/libminisketch_clmul.a
+LIBMINISKETCH_CPPFLAGS += -DHAVE_CLMUL
+MINISKETCH_LIBS += $(LIBMINISKETCH_CLMUL)
+endif
+
+if HAVE_CLZ
+LIBMINISKETCH_CPPFLAGS += -DHAVE_CLZ
+endif
+
+EXTRA_LIBRARIES += $(MINISKETCH_LIBS)
+
+minisketch_libminisketch_clmul_a_SOURCES = $(MINISKETCH_FIELD_CLMUL_SOURCES_INT) $(MINISKETCH_FIELD_CLMUL_HEADERS_INT)
+minisketch_libminisketch_clmul_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS) $(CLMUL_CXXFLAGS)
+minisketch_libminisketch_clmul_a_CPPFLAGS = $(AM_CPPFLAGS) $(LIBMINISKETCH_CPPFLAGS)
+
+minisketch_libminisketch_a_SOURCES = $(MINISKETCH_FIELD_GENERIC_SOURCES_INT) $(MINISKETCH_LIB_SOURCES_INT)
+minisketch_libminisketch_a_SOURCES += $(MINISKETCH_FIELD_GENERIC_HEADERS_INT) $(MINISKETCH_LIB_HEADERS_INT) $(MINISKETCH_DIST_HEADERS_INT)
+minisketch_libminisketch_a_CPPFLAGS = $(AM_CPPFLAGS) $(LIBMINISKETCH_CPPFLAGS)
+minisketch_libminisketch_a_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
+
+if ENABLE_TESTS
+if !ENABLE_FUZZ
+MINISKETCH_TEST = minisketch/test
+TESTS += $(MINISKETCH_TEST)
+noinst_PROGRAMS += $(MINISKETCH_TEST)
+
+minisketch_test_SOURCES = $(MINISKETCH_TEST_SOURCES_INT)
+minisketch_test_CPPFLAGS = $(AM_CPPFLAGS) $(LIBMINISKETCH_CPPFLAGS)
+minisketch_test_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
+minisketch_test_LDADD = $(MINISKETCH_LIBS)
+minisketch_test_LDFLAGS = $(RELDFLAGS) $(AM_LDFLAGS) $(LIBTOOL_APP_LDFLAGS) $(PTHREAD_FLAGS)
+
+endif
+endif
diff --git a/src/Makefile.qt.include b/src/Makefile.qt.include
index 59cfdb9839..3491f07ee0 100644
--- a/src/Makefile.qt.include
+++ b/src/Makefile.qt.include
@@ -40,9 +40,9 @@ QT_MOC_CPP = \
qt/moc_askpassphrasedialog.cpp \
qt/moc_createwalletdialog.cpp \
qt/moc_bantablemodel.cpp \
+ qt/moc_bitcoin.cpp \
qt/moc_bitcoinaddressvalidator.cpp \
qt/moc_bitcoinamountfield.cpp \
- qt/moc_bitcoin.cpp \
qt/moc_bitcoingui.cpp \
qt/moc_bitcoinunits.cpp \
qt/moc_clientmodel.cpp \
@@ -51,6 +51,7 @@ QT_MOC_CPP = \
qt/moc_csvmodelwriter.cpp \
qt/moc_editaddressdialog.cpp \
qt/moc_guiutil.cpp \
+ qt/moc_initexecutor.cpp \
qt/moc_intro.cpp \
qt/moc_macdockiconhandler.cpp \
qt/moc_macnotificationhandler.cpp \
@@ -61,6 +62,7 @@ QT_MOC_CPP = \
qt/moc_optionsmodel.cpp \
qt/moc_overviewpage.cpp \
qt/moc_peertablemodel.cpp \
+ qt/moc_peertablesortproxy.cpp \
qt/moc_paymentserver.cpp \
qt/moc_psbtoperationsdialog.cpp \
qt/moc_qrimagewidget.cpp \
@@ -108,9 +110,9 @@ BITCOIN_QT_H = \
qt/addresstablemodel.h \
qt/askpassphrasedialog.h \
qt/bantablemodel.h \
+ qt/bitcoin.h \
qt/bitcoinaddressvalidator.h \
qt/bitcoinamountfield.h \
- qt/bitcoin.h \
qt/bitcoingui.h \
qt/bitcoinunits.h \
qt/clientmodel.h \
@@ -121,6 +123,7 @@ BITCOIN_QT_H = \
qt/editaddressdialog.h \
qt/guiconstants.h \
qt/guiutil.h \
+ qt/initexecutor.h \
qt/intro.h \
qt/macdockiconhandler.h \
qt/macnotificationhandler.h \
@@ -134,6 +137,7 @@ BITCOIN_QT_H = \
qt/overviewpage.h \
qt/paymentserver.h \
qt/peertablemodel.h \
+ qt/peertablesortproxy.h \
qt/platformstyle.h \
qt/psbtoperationsdialog.h \
qt/qrimagewidget.h \
@@ -164,10 +168,10 @@ BITCOIN_QT_H = \
qt/walletview.h \
qt/winshutdownmonitor.h
-RES_FONTS = \
+QT_RES_FONTS = \
qt/res/fonts/RobotoMono-Bold.ttf
-RES_ICONS = \
+QT_RES_ICONS = \
qt/res/icons/add.png \
qt/res/icons/address-book.png \
qt/res/icons/bitcoin.ico \
@@ -225,6 +229,7 @@ BITCOIN_QT_BASE_CPP = \
qt/clientmodel.cpp \
qt/csvmodelwriter.cpp \
qt/guiutil.cpp \
+ qt/initexecutor.cpp \
qt/intro.cpp \
qt/modaloverlay.cpp \
qt/networkstyle.cpp \
@@ -232,6 +237,7 @@ BITCOIN_QT_BASE_CPP = \
qt/optionsdialog.cpp \
qt/optionsmodel.cpp \
qt/peertablemodel.cpp \
+ qt/peertablesortproxy.cpp \
qt/platformstyle.cpp \
qt/qvalidatedlineedit.cpp \
qt/qvaluecombobox.cpp \
@@ -281,11 +287,11 @@ if ENABLE_WALLET
BITCOIN_QT_CPP += $(BITCOIN_QT_WALLET_CPP)
endif # ENABLE_WALLET
-RES_ANIMATION = $(wildcard $(srcdir)/qt/res/animation/spinner-*.png)
+QT_RES_ANIMATION = $(wildcard $(srcdir)/qt/res/animation/spinner-*.png)
-BITCOIN_RC = qt/res/bitcoin-qt-res.rc
+BITCOIN_QT_RC = qt/res/bitcoin-qt-res.rc
-BITCOIN_QT_INCLUDES = -DQT_NO_KEYWORDS
+BITCOIN_QT_INCLUDES = -DQT_NO_KEYWORDS -DQT_USE_QSTRINGBUILDER
qt_libbitcoinqt_a_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES) $(BITCOIN_QT_INCLUDES) \
$(QT_INCLUDES) $(QT_DBUS_INCLUDES) $(QR_CFLAGS)
@@ -293,7 +299,7 @@ qt_libbitcoinqt_a_CXXFLAGS = $(AM_CXXFLAGS) $(QT_PIE_FLAGS)
qt_libbitcoinqt_a_OBJCXXFLAGS = $(AM_OBJCXXFLAGS) $(QT_PIE_FLAGS)
qt_libbitcoinqt_a_SOURCES = $(BITCOIN_QT_CPP) $(BITCOIN_QT_H) $(QT_FORMS_UI) \
- $(QT_QRC) $(QT_QRC_LOCALE) $(QT_TS) $(RES_FONTS) $(RES_ICONS) $(RES_ANIMATION)
+ $(QT_QRC) $(QT_QRC_LOCALE) $(QT_TS) $(QT_RES_FONTS) $(QT_RES_ICONS) $(QT_RES_ANIMATION)
if TARGET_DARWIN
qt_libbitcoinqt_a_SOURCES += $(BITCOIN_MM)
endif
@@ -315,9 +321,9 @@ bitcoin_qt_cxxflags = $(AM_CXXFLAGS) $(QT_PIE_FLAGS)
bitcoin_qt_sources = qt/main.cpp
if TARGET_WINDOWS
- bitcoin_qt_sources += $(BITCOIN_RC)
+ bitcoin_qt_sources += $(BITCOIN_QT_RC)
endif
-bitcoin_qt_ldadd = qt/libbitcoinqt.a $(LIBBITCOIN_SERVER)
+bitcoin_qt_ldadd = qt/libbitcoinqt.a $(LIBBITCOIN_NODE)
if ENABLE_WALLET
bitcoin_qt_ldadd += $(LIBBITCOIN_UTIL) $(LIBBITCOIN_WALLET)
endif
@@ -325,22 +331,22 @@ if ENABLE_ZMQ
bitcoin_qt_ldadd += $(LIBBITCOIN_ZMQ) $(ZMQ_LIBS)
endif
bitcoin_qt_ldadd += $(LIBBITCOIN_CLI) $(LIBBITCOIN_COMMON) $(LIBBITCOIN_UTIL) $(LIBBITCOIN_CONSENSUS) $(LIBBITCOIN_CRYPTO) $(LIBUNIVALUE) $(LIBLEVELDB) $(LIBLEVELDB_SSE42) $(LIBMEMENV) \
- $(BOOST_LIBS) $(QT_LIBS) $(QT_DBUS_LIBS) $(QR_LIBS) $(BDB_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(LIBSECP256K1) \
+ $(QT_LIBS) $(QT_DBUS_LIBS) $(QR_LIBS) $(BDB_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(LIBSECP256K1) \
$(EVENT_PTHREADS_LIBS) $(EVENT_LIBS) $(SQLITE_LIBS)
bitcoin_qt_ldflags = $(RELDFLAGS) $(AM_LDFLAGS) $(QT_LDFLAGS) $(LIBTOOL_APP_LDFLAGS) $(PTHREAD_FLAGS)
bitcoin_qt_libtoolflags = $(AM_LIBTOOLFLAGS) --tag CXX
qt_bitcoin_qt_CPPFLAGS = $(bitcoin_qt_cppflags)
qt_bitcoin_qt_CXXFLAGS = $(bitcoin_qt_cxxflags)
-qt_bitcoin_qt_SOURCES = $(bitcoin_qt_sources)
+qt_bitcoin_qt_SOURCES = $(bitcoin_qt_sources) init/bitcoin-qt.cpp
qt_bitcoin_qt_LDADD = $(bitcoin_qt_ldadd)
qt_bitcoin_qt_LDFLAGS = $(bitcoin_qt_ldflags)
qt_bitcoin_qt_LIBTOOLFLAGS = $(bitcoin_qt_libtoolflags)
bitcoin_gui_CPPFLAGS = $(bitcoin_qt_cppflags)
bitcoin_gui_CXXFLAGS = $(bitcoin_qt_cxxflags)
-bitcoin_gui_SOURCES = $(bitcoin_qt_sources)
-bitcoin_gui_LDADD = $(bitcoin_qt_ldadd)
+bitcoin_gui_SOURCES = $(bitcoin_qt_sources) init/bitcoin-gui.cpp
+bitcoin_gui_LDADD = $(bitcoin_qt_ldadd) $(LIBBITCOIN_IPC) $(LIBBITCOIN_UTIL) $(LIBMULTIPROCESS_LIBS)
bitcoin_gui_LDFLAGS = $(bitcoin_qt_ldflags)
bitcoin_gui_LIBTOOLFLAGS = $(bitcoin_qt_libtoolflags)
@@ -351,23 +357,27 @@ SECONDARY: $(QT_QM)
$(srcdir)/qt/bitcoinstrings.cpp: FORCE
@test -n $(XGETTEXT) || echo "xgettext is required for updating translations"
- $(AM_V_GEN) cd $(srcdir); XGETTEXT=$(XGETTEXT) COPYRIGHT_HOLDERS="$(COPYRIGHT_HOLDERS)" $(PYTHON) ../share/qt/extract_strings_qt.py $(libbitcoin_server_a_SOURCES) $(libbitcoin_wallet_a_SOURCES) $(libbitcoin_common_a_SOURCES) $(libbitcoin_zmq_a_SOURCES) $(libbitcoin_consensus_a_SOURCES) $(libbitcoin_util_a_SOURCES)
+ $(AM_V_GEN) cd $(srcdir); XGETTEXT=$(XGETTEXT) COPYRIGHT_HOLDERS="$(COPYRIGHT_HOLDERS)" $(PYTHON) ../share/qt/extract_strings_qt.py $(libbitcoin_node_a_SOURCES) $(libbitcoin_wallet_a_SOURCES) $(libbitcoin_common_a_SOURCES) $(libbitcoin_zmq_a_SOURCES) $(libbitcoin_consensus_a_SOURCES) $(libbitcoin_util_a_SOURCES)
+# The resulted bitcoin_en.xlf source file should follow Transifex requirements.
+# See: https://docs.transifex.com/formats/xliff#how-to-distinguish-between-a-source-file-and-a-translation-file
translate: $(srcdir)/qt/bitcoinstrings.cpp $(QT_FORMS_UI) $(QT_FORMS_UI) $(BITCOIN_QT_BASE_CPP) qt/bitcoin.cpp $(BITCOIN_QT_WINDOWS_CPP) $(BITCOIN_QT_WALLET_CPP) $(BITCOIN_QT_H) $(BITCOIN_MM)
@test -n $(LUPDATE) || echo "lupdate is required for updating translations"
- $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(LUPDATE) $^ -locations relative -no-obsolete -ts $(srcdir)/qt/locale/bitcoin_en.ts
+ $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(LUPDATE) -no-obsolete -I $(srcdir) -locations relative $^ -ts $(srcdir)/qt/locale/bitcoin_en.ts
+ @test -n $(LCONVERT) || echo "lconvert is required for updating translations"
+ $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(LCONVERT) -drop-translations -o $(srcdir)/qt/locale/bitcoin_en.xlf -i $(srcdir)/qt/locale/bitcoin_en.ts
+ @$(SED) -i.old -e 's|source-language="en" target-language="en"|source-language="en"|' -e '/<target xml:space="preserve"><\/target>/d' $(srcdir)/qt/locale/bitcoin_en.xlf
+ @rm -f $(srcdir)/qt/locale/bitcoin_en.xlf.old
$(QT_QRC_LOCALE_CPP): $(QT_QRC_LOCALE) $(QT_QM)
@test -f $(RCC)
@cp -f $< $(@D)/temp_$(<F)
- $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(RCC) -name bitcoin_locale $(@D)/temp_$(<F) | \
- $(SED) -e '/^\*\*.*Created:/d' -e '/^\*\*.*by:/d' > $@
+ $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(RCC) -name bitcoin_locale --format-version 1 $(@D)/temp_$(<F) > $@
@rm $(@D)/temp_$(<F)
-$(QT_QRC_CPP): $(QT_QRC) $(QT_FORMS_H) $(RES_FONTS) $(RES_ICONS) $(RES_ANIMATION)
+$(QT_QRC_CPP): $(QT_QRC) $(QT_FORMS_H) $(QT_RES_FONTS) $(QT_RES_ICONS) $(QT_RES_ANIMATION)
@test -f $(RCC)
- $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(RCC) -name bitcoin $< | \
- $(SED) -e '/^\*\*.*Created:/d' -e '/^\*\*.*by:/d' > $@
+ $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(RCC) -name bitcoin --format-version 1 $< > $@
CLEAN_QT = $(nodist_qt_libbitcoinqt_a_SOURCES) $(QT_QM) $(QT_FORMS_H) qt/*.gcda qt/*.gcno qt/temp_bitcoin_locale.qrc
@@ -378,18 +388,30 @@ bitcoin_qt_clean: FORCE
bitcoin_qt : qt/bitcoin-qt$(EXEEXT)
+APK_LIB_DIR = qt/android/libs/$(ANDROID_ARCH)
+QT_BASE_VERSION = $(lastword $(shell $(MOC) --version))
+QT_BASE_PATH = $(shell find ../depends/sources/ -maxdepth 1 -type f -regex ".*qtbase.*$(QT_BASE_VERSION)\.tar.xz")
+QT_BASE_TLD = $(shell tar tf $(QT_BASE_PATH) --exclude='*/*')
+
+bitcoin_qt_apk: FORCE
+ mkdir -p $(APK_LIB_DIR)
+ cp $(dir $(lastword $(CC)))../sysroot/usr/lib/$(host_alias)/libc++_shared.so $(APK_LIB_DIR)
+ tar xf $(QT_BASE_PATH) -C qt/android/src/ $(QT_BASE_TLD)src/android/jar/src --strip-components=5
+ tar xf $(QT_BASE_PATH) -C qt/android/src/ $(QT_BASE_TLD)src/android/java/src --strip-components=5
+ cp qt/bitcoin-qt $(APK_LIB_DIR)/libbitcoin-qt_$(ANDROID_ARCH).so
+ cd qt/android && gradle wrapper --gradle-version=6.6.1
+ cd qt/android && ./gradlew build
+
ui_%.h: %.ui
@test -f $(UIC)
@$(MKDIR_P) $(@D)
$(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(UIC) -o $@ $< || (echo "Error creating $@"; false)
%.moc: %.cpp
- $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(MOC) $(DEFAULT_INCLUDES) $(QT_INCLUDES_UNSUPPRESSED) $(MOC_DEFS) $< | \
- $(SED) -e '/^\*\*.*Created:/d' -e '/^\*\*.*by:/d' > $@
+ $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(MOC) $(DEFAULT_INCLUDES) $(QT_INCLUDES_UNSUPPRESSED) $(MOC_DEFS) $< > $@
moc_%.cpp: %.h
- $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(MOC) $(DEFAULT_INCLUDES) $(QT_INCLUDES_UNSUPPRESSED) $(MOC_DEFS) $< | \
- $(SED) -e '/^\*\*.*Created:/d' -e '/^\*\*.*by:/d' > $@
+ $(AM_V_GEN) QT_SELECT=$(QT_SELECT) $(MOC) $(DEFAULT_INCLUDES) $(QT_INCLUDES_UNSUPPRESSED) $(MOC_DEFS) $< > $@
%.qm: %.ts
@test -f $(LRELEASE)
diff --git a/src/Makefile.qttest.include b/src/Makefile.qttest.include
index a6a857d952..8e6fa2eb0d 100644
--- a/src/Makefile.qttest.include
+++ b/src/Makefile.qttest.include
@@ -7,7 +7,6 @@ TESTS += qt/test/test_bitcoin-qt
TEST_QT_MOC_CPP = \
qt/test/moc_apptests.cpp \
- qt/test/moc_compattests.cpp \
qt/test/moc_rpcnestedtests.cpp \
qt/test/moc_uritests.cpp
@@ -20,7 +19,6 @@ endif # ENABLE_WALLET
TEST_QT_H = \
qt/test/addressbooktests.h \
qt/test/apptests.h \
- qt/test/compattests.h \
qt/test/rpcnestedtests.h \
qt/test/uritests.h \
qt/test/util.h \
@@ -30,8 +28,8 @@ qt_test_test_bitcoin_qt_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES) $(BITCOIN_
$(QT_INCLUDES) $(QT_TEST_INCLUDES)
qt_test_test_bitcoin_qt_SOURCES = \
+ init/bitcoin-qt.cpp \
qt/test/apptests.cpp \
- qt/test/compattests.cpp \
qt/test/rpcnestedtests.cpp \
qt/test/test_main.cpp \
qt/test/uritests.cpp \
@@ -46,7 +44,7 @@ endif # ENABLE_WALLET
nodist_qt_test_test_bitcoin_qt_SOURCES = $(TEST_QT_MOC_CPP)
-qt_test_test_bitcoin_qt_LDADD = $(LIBBITCOINQT) $(LIBBITCOIN_SERVER) $(LIBTEST_UTIL)
+qt_test_test_bitcoin_qt_LDADD = $(LIBBITCOINQT) $(LIBBITCOIN_NODE) $(LIBTEST_UTIL)
if ENABLE_WALLET
qt_test_test_bitcoin_qt_LDADD += $(LIBBITCOIN_UTIL) $(LIBBITCOIN_WALLET)
endif
@@ -54,7 +52,7 @@ if ENABLE_ZMQ
qt_test_test_bitcoin_qt_LDADD += $(LIBBITCOIN_ZMQ) $(ZMQ_LIBS)
endif
qt_test_test_bitcoin_qt_LDADD += $(LIBBITCOIN_CLI) $(LIBBITCOIN_COMMON) $(LIBBITCOIN_UTIL) $(LIBBITCOIN_CONSENSUS) $(LIBBITCOIN_CRYPTO) $(LIBUNIVALUE) $(LIBLEVELDB) \
- $(LIBLEVELDB_SSE42) $(LIBMEMENV) $(BOOST_LIBS) $(QT_DBUS_LIBS) $(QT_TEST_LIBS) $(QT_LIBS) \
+ $(LIBLEVELDB_SSE42) $(LIBMEMENV) $(QT_LIBS) $(QT_DBUS_LIBS) $(QT_TEST_LIBS) \
$(QR_LIBS) $(BDB_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(LIBSECP256K1) \
$(EVENT_PTHREADS_LIBS) $(EVENT_LIBS) $(SQLITE_LIBS)
qt_test_test_bitcoin_qt_LDFLAGS = $(RELDFLAGS) $(AM_LDFLAGS) $(QT_LDFLAGS) $(LIBTOOL_APP_LDFLAGS) $(PTHREAD_FLAGS)
diff --git a/src/Makefile.test.include b/src/Makefile.test.include
index 133277baa6..e2e08468a7 100644
--- a/src/Makefile.test.include
+++ b/src/Makefile.test.include
@@ -16,6 +16,7 @@ FUZZ_BINARY=test/fuzz/fuzz$(EXEEXT)
JSON_TEST_FILES = \
test/data/script_tests.json \
+ test/data/bip341_wallet_vectors.json \
test/data/base58_encode_decode.json \
test/data/blockfilters.json \
test/data/key_io_valid.json \
@@ -35,20 +36,21 @@ BITCOIN_TEST_SUITE = \
$(TEST_UTIL_H)
FUZZ_SUITE_LD_COMMON = \
- $(LIBBITCOIN_SERVER) \
- $(LIBBITCOIN_COMMON) \
- $(LIBBITCOIN_UTIL) \
$(LIBTEST_UTIL) \
$(LIBTEST_FUZZ) \
+ $(LIBBITCOIN_NODE) \
+ $(LIBBITCOIN_WALLET) \
+ $(LIBBITCOIN_COMMON) \
+ $(LIBBITCOIN_UTIL) \
$(LIBBITCOIN_CONSENSUS) \
$(LIBBITCOIN_CRYPTO) \
$(LIBBITCOIN_CLI) \
$(LIBUNIVALUE) \
$(LIBLEVELDB) \
$(LIBLEVELDB_SSE42) \
- $(BOOST_LIBS) \
$(LIBMEMENV) \
$(LIBSECP256K1) \
+ $(MINISKETCH_LIBS) \
$(EVENT_LIBS) \
$(EVENT_PTHREADS_LIBS)
@@ -62,11 +64,11 @@ endif
# test_bitcoin binary #
BITCOIN_TESTS =\
- test/arith_uint256_tests.cpp \
- test/scriptnum10.h \
test/addrman_tests.cpp \
- test/amount_tests.cpp \
test/allocator_tests.cpp \
+ test/amount_tests.cpp \
+ test/arith_uint256_tests.cpp \
+ test/banman_tests.cpp \
test/base32_tests.cpp \
test/base58_tests.cpp \
test/base64_tests.cpp \
@@ -74,33 +76,36 @@ BITCOIN_TESTS =\
test/bip32_tests.cpp \
test/blockchain_tests.cpp \
test/blockencodings_tests.cpp \
- test/blockfilter_tests.cpp \
test/blockfilter_index_tests.cpp \
+ test/blockfilter_tests.cpp \
test/bloom_tests.cpp \
test/bswap_tests.cpp \
test/checkqueue_tests.cpp \
test/coins_tests.cpp \
+ test/coinstatsindex_tests.cpp \
test/compilerbug_tests.cpp \
test/compress_tests.cpp \
test/crypto_tests.cpp \
test/cuckoocache_tests.cpp \
+ test/dbwrapper_tests.cpp \
test/denialofservice_tests.cpp \
test/descriptor_tests.cpp \
test/flatfile_tests.cpp \
test/fs_tests.cpp \
test/getarg_tests.cpp \
test/hash_tests.cpp \
+ test/i2p_tests.cpp \
test/interfaces_tests.cpp \
test/key_io_tests.cpp \
test/key_tests.cpp \
test/logging_tests.cpp \
- test/dbwrapper_tests.cpp \
- test/validation_tests.cpp \
test/mempool_tests.cpp \
test/merkle_tests.cpp \
test/merkleblock_tests.cpp \
test/miner_tests.cpp \
+ test/minisketch_tests.cpp \
test/multisig_tests.cpp \
+ test/net_peer_eviction_tests.cpp \
test/net_tests.cpp \
test/netbase_tests.cpp \
test/pmt_tests.cpp \
@@ -110,15 +115,17 @@ BITCOIN_TESTS =\
test/prevector_tests.cpp \
test/raii_event_tests.cpp \
test/random_tests.cpp \
- test/ref_tests.cpp \
test/reverselock_tests.cpp \
test/rpc_tests.cpp \
test/sanity_tests.cpp \
test/scheduler_tests.cpp \
test/script_p2sh_tests.cpp \
- test/script_tests.cpp \
+ test/script_parse_tests.cpp \
test/script_standard_tests.cpp \
+ test/script_tests.cpp \
+ test/scriptnum10.h \
test/scriptnum_tests.cpp \
+ test/serfloat_tests.cpp \
test/serialize_tests.cpp \
test/settings_tests.cpp \
test/sighash_tests.cpp \
@@ -128,36 +135,39 @@ BITCOIN_TESTS =\
test/streams_tests.cpp \
test/sync_tests.cpp \
test/system_tests.cpp \
- test/util_threadnames_tests.cpp \
test/timedata_tests.cpp \
test/torcontrol_tests.cpp \
test/transaction_tests.cpp \
test/txindex_tests.cpp \
+ test/txpackage_tests.cpp \
test/txrequest_tests.cpp \
test/txvalidation_tests.cpp \
test/txvalidationcache_tests.cpp \
test/uint256_tests.cpp \
test/util_tests.cpp \
+ test/util_threadnames_tests.cpp \
test/validation_block_tests.cpp \
test/validation_chainstate_tests.cpp \
test/validation_chainstatemanager_tests.cpp \
test/validation_flush_tests.cpp \
+ test/validation_tests.cpp \
test/validationinterface_tests.cpp \
test/versionbits_tests.cpp
if ENABLE_WALLET
BITCOIN_TESTS += \
wallet/test/psbt_wallet_tests.cpp \
+ wallet/test/spend_tests.cpp \
wallet/test/wallet_tests.cpp \
wallet/test/walletdb_tests.cpp \
wallet/test/wallet_crypto_tests.cpp \
+ wallet/test/wallet_transaction_tests.cpp \
wallet/test/coinselector_tests.cpp \
wallet/test/init_tests.cpp \
wallet/test/ismine_tests.cpp \
wallet/test/scriptpubkeyman_tests.cpp
FUZZ_SUITE_LD_COMMON +=\
- $(LIBBITCOIN_WALLET) \
$(SQLITE_LIBS) \
$(BDB_LIBS)
@@ -165,13 +175,19 @@ if USE_BDB
BITCOIN_TESTS += wallet/test/db_tests.cpp
endif
+if USE_SQLITE
+FUZZ_WALLET_SRC = \
+ wallet/test/fuzz/notifications.cpp
+endif # USE_SQLITE
BITCOIN_TEST_SUITE += \
+ wallet/test/util.cpp \
+ wallet/test/util.h \
wallet/test/wallet_test_fixture.cpp \
wallet/test/wallet_test_fixture.h \
wallet/test/init_test_fixture.cpp \
wallet/test/init_test_fixture.h
-endif
+endif # ENABLE_WALLET
test_test_bitcoin_SOURCES = $(BITCOIN_TEST_SUITE) $(BITCOIN_TESTS) $(JSON_TEST_FILES) $(RAW_TEST_FILES)
test_test_bitcoin_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES) $(TESTDEFS) $(EVENT_CFLAGS)
@@ -180,8 +196,8 @@ if ENABLE_WALLET
test_test_bitcoin_LDADD += $(LIBBITCOIN_WALLET)
endif
-test_test_bitcoin_LDADD += $(LIBBITCOIN_SERVER) $(LIBBITCOIN_CLI) $(LIBBITCOIN_COMMON) $(LIBBITCOIN_UTIL) $(LIBBITCOIN_CONSENSUS) $(LIBBITCOIN_CRYPTO) $(LIBUNIVALUE) \
- $(LIBLEVELDB) $(LIBLEVELDB_SSE42) $(LIBMEMENV) $(BOOST_LIBS) $(BOOST_UNIT_TEST_FRAMEWORK_LIB) $(LIBSECP256K1) $(EVENT_LIBS) $(EVENT_PTHREADS_LIBS)
+test_test_bitcoin_LDADD += $(LIBBITCOIN_NODE) $(LIBBITCOIN_CLI) $(LIBBITCOIN_COMMON) $(LIBBITCOIN_UTIL) $(LIBBITCOIN_CONSENSUS) $(LIBBITCOIN_CRYPTO) $(LIBUNIVALUE) \
+ $(LIBLEVELDB) $(LIBLEVELDB_SSE42) $(LIBMEMENV) $(LIBSECP256K1) $(EVENT_LIBS) $(EVENT_PTHREADS_LIBS) $(MINISKETCH_LIBS)
test_test_bitcoin_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
test_test_bitcoin_LDADD += $(BDB_LIBS) $(MINIUPNPC_LIBS) $(NATPMP_LIBS) $(SQLITE_LIBS)
@@ -192,16 +208,14 @@ test_test_bitcoin_LDADD += $(LIBBITCOIN_ZMQ) $(ZMQ_LIBS)
FUZZ_SUITE_LD_COMMON += $(LIBBITCOIN_ZMQ) $(ZMQ_LIBS)
endif
-FUZZ_SUITE_LDFLAGS_COMMON = $(RELDFLAGS) $(AM_LDFLAGS) $(LIBTOOL_APP_LDFLAGS) $(PTHREAD_FLAGS)
-
if ENABLE_FUZZ_BINARY
test_fuzz_fuzz_CPPFLAGS = $(AM_CPPFLAGS) $(BITCOIN_INCLUDES)
test_fuzz_fuzz_CXXFLAGS = $(AM_CXXFLAGS) $(PIE_FLAGS)
test_fuzz_fuzz_LDADD = $(FUZZ_SUITE_LD_COMMON)
-test_fuzz_fuzz_LDFLAGS = $(FUZZ_SUITE_LDFLAGS_COMMON)
+test_fuzz_fuzz_LDFLAGS = $(RELDFLAGS) $(AM_LDFLAGS) $(LIBTOOL_APP_LDFLAGS) $(PTHREAD_FLAGS) $(RUNTIME_LDFLAGS)
test_fuzz_fuzz_SOURCES = \
+ $(FUZZ_WALLET_SRC) \
test/fuzz/addition_overflow.cpp \
- test/fuzz/addrdb.cpp \
test/fuzz/addrman.cpp \
test/fuzz/asmap.cpp \
test/fuzz/asmap_direct.cpp \
@@ -224,10 +238,10 @@ test_fuzz_fuzz_SOURCES = \
test/fuzz/crypto_chacha20.cpp \
test/fuzz/crypto_chacha20_poly1305_aead.cpp \
test/fuzz/crypto_common.cpp \
+ test/fuzz/crypto_diff_fuzz_chacha20.cpp \
test/fuzz/crypto_hkdf_hmac_sha256_l32.cpp \
test/fuzz/crypto_poly1305.cpp \
test/fuzz/cuckoocache.cpp \
- test/fuzz/data_stream.cpp \
test/fuzz/decode_tx.cpp \
test/fuzz/descriptor_parse.cpp \
test/fuzz/deserialize.cpp \
@@ -239,6 +253,7 @@ test_fuzz_fuzz_SOURCES = \
test/fuzz/golomb_rice.cpp \
test/fuzz/hex.cpp \
test/fuzz/http_request.cpp \
+ test/fuzz/i2p.cpp \
test/fuzz/integer.cpp \
test/fuzz/key.cpp \
test/fuzz/key_io.cpp \
@@ -247,13 +262,15 @@ test_fuzz_fuzz_SOURCES = \
test/fuzz/locale.cpp \
test/fuzz/merkleblock.cpp \
test/fuzz/message.cpp \
+ test/fuzz/minisketch.cpp \
test/fuzz/muhash.cpp \
test/fuzz/multiplication_overflow.cpp \
test/fuzz/net.cpp \
test/fuzz/net_permissions.cpp \
test/fuzz/netaddress.cpp \
+ test/fuzz/netbase_dns_lookup.cpp \
test/fuzz/node_eviction.cpp \
- test/fuzz/p2p_transport_deserializer.cpp \
+ test/fuzz/p2p_transport_serialization.cpp \
test/fuzz/parse_hd_keypath.cpp \
test/fuzz/parse_iso8601.cpp \
test/fuzz/parse_numbers.cpp \
@@ -271,11 +288,13 @@ test_fuzz_fuzz_SOURCES = \
test/fuzz/random.cpp \
test/fuzz/rbf.cpp \
test/fuzz/rolling_bloom_filter.cpp \
+ test/fuzz/rpc.cpp \
test/fuzz/script.cpp \
test/fuzz/script_assets_test_minimizer.cpp \
test/fuzz/script_bitcoin_consensus.cpp \
test/fuzz/script_descriptor_cache.cpp \
test/fuzz/script_flags.cpp \
+ test/fuzz/script_format.cpp \
test/fuzz/script_interpreter.cpp \
test/fuzz/script_ops.cpp \
test/fuzz/script_sigcache.cpp \
@@ -296,7 +315,11 @@ test_fuzz_fuzz_SOURCES = \
test/fuzz/transaction.cpp \
test/fuzz/tx_in.cpp \
test/fuzz/tx_out.cpp \
- test/fuzz/txrequest.cpp
+ test/fuzz/tx_pool.cpp \
+ test/fuzz/txrequest.cpp \
+ test/fuzz/utxo_snapshot.cpp \
+ test/fuzz/validation_load_mempool.cpp \
+ test/fuzz/versionbits.cpp
endif # ENABLE_FUZZ_BINARY
nodist_test_test_bitcoin_SOURCES = $(GENERATED_TEST_FILES)
@@ -325,8 +348,8 @@ bitcoin_test_clean : FORCE
check-local: $(BITCOIN_TESTS:.cpp=.cpp.test)
if BUILD_BITCOIN_TX
- @echo "Running test/util/bitcoin-util-test.py..."
- $(PYTHON) $(top_builddir)/test/util/bitcoin-util-test.py
+ @echo "Running test/util/test_runner.py..."
+ $(PYTHON) $(top_builddir)/test/util/test_runner.py
endif
@echo "Running test/util/rpcauth-test.py..."
$(PYTHON) $(top_builddir)/test/util/rpcauth-test.py
@@ -338,13 +361,26 @@ if ENABLE_BENCH
endif
endif
$(AM_V_at)$(MAKE) $(AM_MAKEFLAGS) -C secp256k1 check
-if EMBEDDED_UNIVALUE
- $(AM_V_at)$(MAKE) $(AM_MAKEFLAGS) -C univalue check
-endif
-if ENABLE_FUZZ_LINK_ALL
-all-local: $(FUZZ_BINARY)
- bash ./test/fuzz/danger_link_all.sh
+if !ENABLE_FUZZ
+UNIVALUE_TESTS = univalue/test/object univalue/test/unitester univalue/test/no_nul
+noinst_PROGRAMS += $(UNIVALUE_TESTS)
+TESTS += $(UNIVALUE_TESTS)
+
+univalue_test_unitester_SOURCES = $(UNIVALUE_TEST_UNITESTER_INT)
+univalue_test_unitester_LDADD = $(LIBUNIVALUE)
+univalue_test_unitester_CPPFLAGS = -I$(srcdir)/$(UNIVALUE_INCLUDE_DIR_INT) -DJSON_TEST_SRC=\"$(srcdir)/$(UNIVALUE_TEST_DATA_DIR_INT)\"
+univalue_test_unitester_LDFLAGS = -static $(LIBTOOL_APP_LDFLAGS)
+
+univalue_test_no_nul_SOURCES = $(UNIVALUE_TEST_NO_NUL_INT)
+univalue_test_no_nul_LDADD = $(LIBUNIVALUE)
+univalue_test_no_nul_CPPFLAGS = -I$(srcdir)/$(UNIVALUE_INCLUDE_DIR_INT)
+univalue_test_no_nul_LDFLAGS = -static $(LIBTOOL_APP_LDFLAGS)
+
+univalue_test_object_SOURCES = $(UNIVALUE_TEST_OBJECT_INT)
+univalue_test_object_LDADD = $(LIBUNIVALUE)
+univalue_test_object_CPPFLAGS = -I$(srcdir)/$(UNIVALUE_INCLUDE_DIR_INT)
+univalue_test_object_LDFLAGS = -static $(LIBTOOL_APP_LDFLAGS)
endif
%.cpp.test: %.cpp
diff --git a/src/Makefile.test_fuzz.include b/src/Makefile.test_fuzz.include
index 2d772f2fca..9574454fd2 100644
--- a/src/Makefile.test_fuzz.include
+++ b/src/Makefile.test_fuzz.include
@@ -19,7 +19,7 @@ libtest_fuzz_a_SOURCES = \
test/fuzz/util.cpp \
$(TEST_FUZZ_H)
-LIBTEST_FUZZ += $(LIBBITCOIN_SERVER)
+LIBTEST_FUZZ += $(LIBBITCOIN_NODE)
LIBTEST_FUZZ += $(LIBBITCOIN_COMMON)
LIBTEST_FUZZ += $(LIBBITCOIN_UTIL)
LIBTEST_FUZZ += $(LIBBITCOIN_CRYPTO_BASE)
diff --git a/src/Makefile.test_util.include b/src/Makefile.test_util.include
index f7f393ccac..92cb8a5ce6 100644
--- a/src/Makefile.test_util.include
+++ b/src/Makefile.test_util.include
@@ -9,6 +9,7 @@ EXTRA_LIBRARIES += \
TEST_UTIL_H = \
test/util/blockfilter.h \
+ test/util/chainstate.h \
test/util/logging.h \
test/util/mining.h \
test/util/net.h \
@@ -26,6 +27,7 @@ libtest_util_a_SOURCES = \
test/util/logging.cpp \
test/util/mining.cpp \
test/util/net.cpp \
+ test/util/script.cpp \
test/util/setup_common.cpp \
test/util/str.cpp \
test/util/transaction_utils.cpp \
@@ -33,7 +35,7 @@ libtest_util_a_SOURCES = \
test/util/wallet.cpp \
$(TEST_UTIL_H)
-LIBTEST_UTIL += $(LIBBITCOIN_SERVER)
+LIBTEST_UTIL += $(LIBBITCOIN_NODE)
LIBTEST_UTIL += $(LIBBITCOIN_COMMON)
LIBTEST_UTIL += $(LIBBITCOIN_UTIL)
LIBTEST_UTIL += $(LIBBITCOIN_CRYPTO_BASE)
diff --git a/src/Makefile.univalue.include b/src/Makefile.univalue.include
new file mode 100644
index 0000000000..3644e36368
--- /dev/null
+++ b/src/Makefile.univalue.include
@@ -0,0 +1,6 @@
+include univalue/sources.mk
+
+LIBUNIVALUE = libunivalue.la
+noinst_LTLIBRARIES += $(LIBUNIVALUE)
+libunivalue_la_SOURCES = $(UNIVALUE_LIB_SOURCES_INT) $(UNIVALUE_DIST_HEADERS_INT) $(UNIVALUE_LIB_HEADERS_INT) $(UNIVALUE_TEST_FILES_INT)
+libunivalue_la_CPPFLAGS = $(AM_CPPFLAGS) -I$(srcdir)/$(UNIVALUE_INCLUDE_DIR_INT)
diff --git a/src/addrdb.cpp b/src/addrdb.cpp
index 0922c1c432..4f22e688db 100644
--- a/src/addrdb.cpp
+++ b/src/addrdb.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,21 +9,31 @@
#include <chainparams.h>
#include <clientversion.h>
#include <cstdint>
+#include <fs.h>
#include <hash.h>
#include <logging/timer.h>
+#include <netbase.h>
#include <random.h>
#include <streams.h>
#include <tinyformat.h>
+#include <univalue.h>
+#include <util/settings.h>
#include <util/system.h>
+#include <util/translation.h>
namespace {
+class DbNotFoundError : public std::exception
+{
+ using std::exception::exception;
+};
+
template <typename Stream, typename Data>
bool SerializeDB(Stream& stream, const Data& data)
{
// Write and commit header, data
try {
- CHashWriter hasher(SER_DISK, CLIENT_VERSION);
+ CHashWriter hasher(stream.GetType(), stream.GetVersion());
stream << Params().MessageStart() << data;
hasher << Params().MessageStart() << data;
stream << hasher.GetHash();
@@ -35,7 +45,7 @@ bool SerializeDB(Stream& stream, const Data& data)
}
template <typename Data>
-bool SerializeFileDB(const std::string& prefix, const fs::path& path, const Data& data)
+bool SerializeFileDB(const std::string& prefix, const fs::path& path, const Data& data, int version)
{
// Generate random temporary filename
uint16_t randv = 0;
@@ -43,13 +53,13 @@ bool SerializeFileDB(const std::string& prefix, const fs::path& path, const Data
std::string tmpfn = strprintf("%s.%04x", prefix, randv);
// open temp output file, and associate with CAutoFile
- fs::path pathTmp = GetDataDir() / tmpfn;
+ fs::path pathTmp = gArgs.GetDataDirNet() / tmpfn;
FILE *file = fsbridge::fopen(pathTmp, "wb");
- CAutoFile fileout(file, SER_DISK, CLIENT_VERSION);
+ CAutoFile fileout(file, SER_DISK, version);
if (fileout.IsNull()) {
fileout.fclose();
remove(pathTmp);
- return error("%s: Failed to open file %s", __func__, pathTmp.string());
+ return error("%s: Failed to open file %s", __func__, fs::PathToString(pathTmp));
}
// Serialize
@@ -61,7 +71,7 @@ bool SerializeFileDB(const std::string& prefix, const fs::path& path, const Data
if (!FileCommit(fileout.Get())) {
fileout.fclose();
remove(pathTmp);
- return error("%s: Failed to flush file %s", __func__, pathTmp.string());
+ return error("%s: Failed to flush file %s", __func__, fs::PathToString(pathTmp));
}
fileout.fclose();
@@ -75,101 +85,139 @@ bool SerializeFileDB(const std::string& prefix, const fs::path& path, const Data
}
template <typename Stream, typename Data>
-bool DeserializeDB(Stream& stream, Data& data, bool fCheckSum = true)
+void DeserializeDB(Stream& stream, Data& data, bool fCheckSum = true)
{
- try {
- CHashVerifier<Stream> verifier(&stream);
- // de-serialize file header (network specific magic number) and ..
- unsigned char pchMsgTmp[4];
- verifier >> pchMsgTmp;
- // ... verify the network matches ours
- if (memcmp(pchMsgTmp, Params().MessageStart(), sizeof(pchMsgTmp)))
- return error("%s: Invalid network magic number", __func__);
-
- // de-serialize data
- verifier >> data;
-
- // verify checksum
- if (fCheckSum) {
- uint256 hashTmp;
- stream >> hashTmp;
- if (hashTmp != verifier.GetHash()) {
- return error("%s: Checksum mismatch, data corrupted", __func__);
- }
- }
- }
- catch (const std::exception& e) {
- return error("%s: Deserialize or I/O error - %s", __func__, e.what());
+ CHashVerifier<Stream> verifier(&stream);
+ // de-serialize file header (network specific magic number) and ..
+ unsigned char pchMsgTmp[4];
+ verifier >> pchMsgTmp;
+ // ... verify the network matches ours
+ if (memcmp(pchMsgTmp, Params().MessageStart(), sizeof(pchMsgTmp))) {
+ throw std::runtime_error{"Invalid network magic number"};
}
- return true;
+ // de-serialize data
+ verifier >> data;
+
+ // verify checksum
+ if (fCheckSum) {
+ uint256 hashTmp;
+ stream >> hashTmp;
+ if (hashTmp != verifier.GetHash()) {
+ throw std::runtime_error{"Checksum mismatch, data corrupted"};
+ }
+ }
}
template <typename Data>
-bool DeserializeFileDB(const fs::path& path, Data& data)
+void DeserializeFileDB(const fs::path& path, Data& data, int version)
{
// open input file, and associate with CAutoFile
FILE* file = fsbridge::fopen(path, "rb");
- CAutoFile filein(file, SER_DISK, CLIENT_VERSION);
+ CAutoFile filein(file, SER_DISK, version);
if (filein.IsNull()) {
- LogPrintf("Missing or invalid file %s\n", path.string());
- return false;
+ throw DbNotFoundError{};
}
- return DeserializeDB(filein, data);
+ DeserializeDB(filein, data);
}
} // namespace
-CBanDB::CBanDB(fs::path ban_list_path) : m_ban_list_path(std::move(ban_list_path))
+CBanDB::CBanDB(fs::path ban_list_path)
+ : m_banlist_dat(ban_list_path + ".dat"),
+ m_banlist_json(ban_list_path + ".json")
{
}
bool CBanDB::Write(const banmap_t& banSet)
{
- return SerializeFileDB("banlist", m_ban_list_path, banSet);
+ std::vector<std::string> errors;
+ if (util::WriteSettings(m_banlist_json, {{JSON_KEY, BanMapToJson(banSet)}}, errors)) {
+ return true;
+ }
+
+ for (const auto& err : errors) {
+ error("%s", err);
+ }
+ return false;
}
bool CBanDB::Read(banmap_t& banSet)
{
- return DeserializeFileDB(m_ban_list_path, banSet);
-}
+ if (fs::exists(m_banlist_dat)) {
+ LogPrintf("banlist.dat ignored because it can only be read by " PACKAGE_NAME " version 22.x. Remove %s to silence this warning.\n", fs::quoted(fs::PathToString(m_banlist_dat)));
+ }
+ // If the JSON banlist does not exist, then recreate it
+ if (!fs::exists(m_banlist_json)) {
+ return false;
+ }
-CAddrDB::CAddrDB()
-{
- pathAddr = GetDataDir() / "peers.dat";
+ std::map<std::string, util::SettingsValue> settings;
+ std::vector<std::string> errors;
+
+ if (!util::ReadSettings(m_banlist_json, settings, errors)) {
+ for (const auto& err : errors) {
+ LogPrintf("Cannot load banlist %s: %s\n", fs::PathToString(m_banlist_json), err);
+ }
+ return false;
+ }
+
+ try {
+ BanMapFromJson(settings[JSON_KEY], banSet);
+ } catch (const std::runtime_error& e) {
+ LogPrintf("Cannot parse banlist %s: %s\n", fs::PathToString(m_banlist_json), e.what());
+ return false;
+ }
+
+ return true;
}
-bool CAddrDB::Write(const CAddrMan& addr)
+bool DumpPeerAddresses(const ArgsManager& args, const AddrMan& addr)
{
- return SerializeFileDB("peers", pathAddr, addr);
+ const auto pathAddr = args.GetDataDirNet() / "peers.dat";
+ return SerializeFileDB("peers", pathAddr, addr, CLIENT_VERSION);
}
-bool CAddrDB::Read(CAddrMan& addr)
+void ReadFromStream(AddrMan& addr, CDataStream& ssPeers)
{
- return DeserializeFileDB(pathAddr, addr);
+ DeserializeDB(ssPeers, addr, false);
}
-bool CAddrDB::Read(CAddrMan& addr, CDataStream& ssPeers)
+std::optional<bilingual_str> LoadAddrman(const std::vector<bool>& asmap, const ArgsManager& args, std::unique_ptr<AddrMan>& addrman)
{
- bool ret = DeserializeDB(ssPeers, addr, false);
- if (!ret) {
- // Ensure addrman is left in a clean state
- addr.Clear();
+ auto check_addrman = std::clamp<int32_t>(args.GetIntArg("-checkaddrman", DEFAULT_ADDRMAN_CONSISTENCY_CHECKS), 0, 1000000);
+ addrman = std::make_unique<AddrMan>(asmap, /* deterministic */ false, /* consistency_check_ratio */ check_addrman);
+
+ int64_t nStart = GetTimeMillis();
+ const auto path_addr{args.GetDataDirNet() / "peers.dat"};
+ try {
+ DeserializeFileDB(path_addr, *addrman, CLIENT_VERSION);
+ LogPrintf("Loaded %i addresses from peers.dat %dms\n", addrman->size(), GetTimeMillis() - nStart);
+ } catch (const DbNotFoundError&) {
+ // Addrman can be in an inconsistent state after failure, reset it
+ addrman = std::make_unique<AddrMan>(asmap, /* deterministic */ false, /* consistency_check_ratio */ check_addrman);
+ LogPrintf("Creating peers.dat because the file was not found (%s)\n", fs::quoted(fs::PathToString(path_addr)));
+ DumpPeerAddresses(args, *addrman);
+ } catch (const std::exception& e) {
+ addrman = nullptr;
+ return strprintf(_("Invalid or corrupt peers.dat (%s). If you believe this is a bug, please report it to %s. As a workaround, you can move the file (%s) out of the way (rename, move, or delete) to have a new one created on the next start."),
+ e.what(), PACKAGE_BUGREPORT, fs::quoted(fs::PathToString(path_addr)));
}
- return ret;
+ return std::nullopt;
}
void DumpAnchors(const fs::path& anchors_db_path, const std::vector<CAddress>& anchors)
{
LOG_TIME_SECONDS(strprintf("Flush %d outbound block-relay-only peer addresses to anchors.dat", anchors.size()));
- SerializeFileDB("anchors", anchors_db_path, anchors);
+ SerializeFileDB("anchors", anchors_db_path, anchors, CLIENT_VERSION | ADDRV2_FORMAT);
}
std::vector<CAddress> ReadAnchors(const fs::path& anchors_db_path)
{
std::vector<CAddress> anchors;
- if (DeserializeFileDB(anchors_db_path, anchors)) {
- LogPrintf("Loaded %i addresses from %s\n", anchors.size(), anchors_db_path.filename());
- } else {
+ try {
+ DeserializeFileDB(anchors_db_path, anchors, CLIENT_VERSION | ADDRV2_FORMAT);
+ LogPrintf("Loaded %i addresses from %s\n", anchors.size(), fs::quoted(fs::PathToString(anchors_db_path.filename())));
+ } catch (const std::exception&) {
anchors.clear();
}
diff --git a/src/addrdb.h b/src/addrdb.h
index 8953ebb169..4bdafb64e4 100644
--- a/src/addrdb.h
+++ b/src/addrdb.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,71 +8,48 @@
#include <fs.h>
#include <net_types.h> // For banmap_t
-#include <serialize.h>
+#include <univalue.h>
-#include <string>
+#include <optional>
#include <vector>
+class ArgsManager;
+class AddrMan;
class CAddress;
-class CAddrMan;
class CDataStream;
+struct bilingual_str;
-class CBanEntry
-{
-public:
- static const int CURRENT_VERSION=1;
- int nVersion;
- int64_t nCreateTime;
- int64_t nBanUntil;
-
- CBanEntry()
- {
- SetNull();
- }
-
- explicit CBanEntry(int64_t nCreateTimeIn)
- {
- SetNull();
- nCreateTime = nCreateTimeIn;
- }
+bool DumpPeerAddresses(const ArgsManager& args, const AddrMan& addr);
+/** Only used by tests. */
+void ReadFromStream(AddrMan& addr, CDataStream& ssPeers);
- SERIALIZE_METHODS(CBanEntry, obj)
- {
- uint8_t ban_reason = 2; //! For backward compatibility
- READWRITE(obj.nVersion, obj.nCreateTime, obj.nBanUntil, ban_reason);
- }
-
- void SetNull()
- {
- nVersion = CBanEntry::CURRENT_VERSION;
- nCreateTime = 0;
- nBanUntil = 0;
- }
-};
-
-/** Access to the (IP) address database (peers.dat) */
-class CAddrDB
-{
-private:
- fs::path pathAddr;
-public:
- CAddrDB();
- bool Write(const CAddrMan& addr);
- bool Read(CAddrMan& addr);
- static bool Read(CAddrMan& addr, CDataStream& ssPeers);
-};
-
-/** Access to the banlist database (banlist.dat) */
+/** Access to the banlist database (banlist.json) */
class CBanDB
{
private:
- const fs::path m_ban_list_path;
+ /**
+ * JSON key under which the data is stored in the json database.
+ */
+ static constexpr const char* JSON_KEY = "banned_nets";
+
+ const fs::path m_banlist_dat;
+ const fs::path m_banlist_json;
public:
explicit CBanDB(fs::path ban_list_path);
bool Write(const banmap_t& banSet);
+
+ /**
+ * Read the banlist from disk.
+ * @param[out] banSet The loaded list. Set if `true` is returned, otherwise it is left
+ * in an undefined state.
+ * @return true on success
+ */
bool Read(banmap_t& banSet);
};
+/** Returns an error string on failure */
+std::optional<bilingual_str> LoadAddrman(const std::vector<bool>& asmap, const ArgsManager& args, std::unique_ptr<AddrMan>& addrman);
+
/**
* Dump the anchor IP address database (anchors.dat)
*
diff --git a/src/addrman.cpp b/src/addrman.cpp
index f91121f156..3a845b5b6e 100644
--- a/src/addrman.cpp
+++ b/src/addrman.cpp
@@ -1,44 +1,70 @@
// Copyright (c) 2012 Pieter Wuille
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <addrman.h>
+#include <addrman_impl.h>
#include <hash.h>
#include <logging.h>
+#include <logging/timer.h>
+#include <netaddress.h>
+#include <protocol.h>
+#include <random.h>
#include <serialize.h>
+#include <streams.h>
+#include <timedata.h>
+#include <tinyformat.h>
+#include <uint256.h>
+#include <util/check.h>
#include <cmath>
-
-int CAddrInfo::GetTriedBucket(const uint256& nKey, const std::vector<bool> &asmap) const
+#include <optional>
+
+/** Over how many buckets entries with tried addresses from a single group (/16 for IPv4) are spread */
+static constexpr uint32_t ADDRMAN_TRIED_BUCKETS_PER_GROUP{8};
+/** Over how many buckets entries with new addresses originating from a single group are spread */
+static constexpr uint32_t ADDRMAN_NEW_BUCKETS_PER_SOURCE_GROUP{64};
+/** Maximum number of times an address can occur in the new table */
+static constexpr int32_t ADDRMAN_NEW_BUCKETS_PER_ADDRESS{8};
+/** How old addresses can maximally be */
+static constexpr int64_t ADDRMAN_HORIZON_DAYS{30};
+/** After how many failed attempts we give up on a new node */
+static constexpr int32_t ADDRMAN_RETRIES{3};
+/** How many successive failures are allowed ... */
+static constexpr int32_t ADDRMAN_MAX_FAILURES{10};
+/** ... in at least this many days */
+static constexpr int64_t ADDRMAN_MIN_FAIL_DAYS{7};
+/** How recent a successful connection should be before we allow an address to be evicted from tried */
+static constexpr int64_t ADDRMAN_REPLACEMENT_HOURS{4};
+/** The maximum number of tried addr collisions to store */
+static constexpr size_t ADDRMAN_SET_TRIED_COLLISION_SIZE{10};
+/** The maximum time we'll spend trying to resolve a tried table collision, in seconds */
+static constexpr int64_t ADDRMAN_TEST_WINDOW{40*60}; // 40 minutes
+
+int AddrInfo::GetTriedBucket(const uint256& nKey, const std::vector<bool>& asmap) const
{
uint64_t hash1 = (CHashWriter(SER_GETHASH, 0) << nKey << GetKey()).GetCheapHash();
uint64_t hash2 = (CHashWriter(SER_GETHASH, 0) << nKey << GetGroup(asmap) << (hash1 % ADDRMAN_TRIED_BUCKETS_PER_GROUP)).GetCheapHash();
- int tried_bucket = hash2 % ADDRMAN_TRIED_BUCKET_COUNT;
- uint32_t mapped_as = GetMappedAS(asmap);
- LogPrint(BCLog::NET, "IP %s mapped to AS%i belongs to tried bucket %i\n", ToStringIP(), mapped_as, tried_bucket);
- return tried_bucket;
+ return hash2 % ADDRMAN_TRIED_BUCKET_COUNT;
}
-int CAddrInfo::GetNewBucket(const uint256& nKey, const CNetAddr& src, const std::vector<bool> &asmap) const
+int AddrInfo::GetNewBucket(const uint256& nKey, const CNetAddr& src, const std::vector<bool>& asmap) const
{
std::vector<unsigned char> vchSourceGroupKey = src.GetGroup(asmap);
uint64_t hash1 = (CHashWriter(SER_GETHASH, 0) << nKey << GetGroup(asmap) << vchSourceGroupKey).GetCheapHash();
uint64_t hash2 = (CHashWriter(SER_GETHASH, 0) << nKey << vchSourceGroupKey << (hash1 % ADDRMAN_NEW_BUCKETS_PER_SOURCE_GROUP)).GetCheapHash();
- int new_bucket = hash2 % ADDRMAN_NEW_BUCKET_COUNT;
- uint32_t mapped_as = GetMappedAS(asmap);
- LogPrint(BCLog::NET, "IP %s mapped to AS%i belongs to new bucket %i\n", ToStringIP(), mapped_as, new_bucket);
- return new_bucket;
+ return hash2 % ADDRMAN_NEW_BUCKET_COUNT;
}
-int CAddrInfo::GetBucketPosition(const uint256 &nKey, bool fNew, int nBucket) const
+int AddrInfo::GetBucketPosition(const uint256& nKey, bool fNew, int nBucket) const
{
- uint64_t hash1 = (CHashWriter(SER_GETHASH, 0) << nKey << (fNew ? 'N' : 'K') << nBucket << GetKey()).GetCheapHash();
+ uint64_t hash1 = (CHashWriter(SER_GETHASH, 0) << nKey << (fNew ? uint8_t{'N'} : uint8_t{'K'}) << nBucket << GetKey()).GetCheapHash();
return hash1 % ADDRMAN_BUCKET_SIZE;
}
-bool CAddrInfo::IsTerrible(int64_t nNow) const
+bool AddrInfo::IsTerrible(int64_t nNow) const
{
if (nLastTry && nLastTry >= nNow - 60) // never remove things tried in the last minute
return false;
@@ -58,7 +84,7 @@ bool CAddrInfo::IsTerrible(int64_t nNow) const
return false;
}
-double CAddrInfo::GetChance(int64_t nNow) const
+double AddrInfo::GetChance(int64_t nNow) const
{
double fChance = 1.0;
int64_t nSinceLastTry = std::max<int64_t>(nNow - nLastTry, 0);
@@ -73,23 +99,325 @@ double CAddrInfo::GetChance(int64_t nNow) const
return fChance;
}
-CAddrInfo* CAddrMan::Find(const CNetAddr& addr, int* pnId)
+AddrManImpl::AddrManImpl(std::vector<bool>&& asmap, bool deterministic, int32_t consistency_check_ratio)
+ : insecure_rand{deterministic}
+ , nKey{deterministic ? uint256{1} : insecure_rand.rand256()}
+ , m_consistency_check_ratio{consistency_check_ratio}
+ , m_asmap{std::move(asmap)}
+{
+ for (auto& bucket : vvNew) {
+ for (auto& entry : bucket) {
+ entry = -1;
+ }
+ }
+ for (auto& bucket : vvTried) {
+ for (auto& entry : bucket) {
+ entry = -1;
+ }
+ }
+}
+
+AddrManImpl::~AddrManImpl()
+{
+ nKey.SetNull();
+}
+
+template <typename Stream>
+void AddrManImpl::Serialize(Stream& s_) const
+{
+ LOCK(cs);
+
+ /**
+ * Serialized format.
+ * * format version byte (@see `Format`)
+ * * lowest compatible format version byte. This is used to help old software decide
+ * whether to parse the file. For example:
+ * * Bitcoin Core version N knows how to parse up to format=3. If a new format=4 is
+ * introduced in version N+1 that is compatible with format=3 and it is known that
+ * version N will be able to parse it, then version N+1 will write
+ * (format=4, lowest_compatible=3) in the first two bytes of the file, and so
+ * version N will still try to parse it.
+ * * Bitcoin Core version N+2 introduces a new incompatible format=5. It will write
+ * (format=5, lowest_compatible=5) and so any versions that do not know how to parse
+ * format=5 will not try to read the file.
+ * * nKey
+ * * nNew
+ * * nTried
+ * * number of "new" buckets XOR 2**30
+ * * all new addresses (total count: nNew)
+ * * all tried addresses (total count: nTried)
+ * * for each new bucket:
+ * * number of elements
+ * * for each element: index in the serialized "all new addresses"
+ * * asmap checksum
+ *
+ * 2**30 is xorred with the number of buckets to make addrman deserializer v0 detect it
+ * as incompatible. This is necessary because it did not check the version number on
+ * deserialization.
+ *
+ * vvNew, vvTried, mapInfo, mapAddr and vRandom are never encoded explicitly;
+ * they are instead reconstructed from the other information.
+ *
+ * This format is more complex, but significantly smaller (at most 1.5 MiB), and supports
+ * changes to the ADDRMAN_ parameters without breaking the on-disk structure.
+ *
+ * We don't use SERIALIZE_METHODS since the serialization and deserialization code has
+ * very little in common.
+ */
+
+ // Always serialize in the latest version (FILE_FORMAT).
+
+ OverrideStream<Stream> s(&s_, s_.GetType(), s_.GetVersion() | ADDRV2_FORMAT);
+
+ s << static_cast<uint8_t>(FILE_FORMAT);
+
+ // Increment `lowest_compatible` iff a newly introduced format is incompatible with
+ // the previous one.
+ static constexpr uint8_t lowest_compatible = Format::V4_MULTIPORT;
+ s << static_cast<uint8_t>(INCOMPATIBILITY_BASE + lowest_compatible);
+
+ s << nKey;
+ s << nNew;
+ s << nTried;
+
+ int nUBuckets = ADDRMAN_NEW_BUCKET_COUNT ^ (1 << 30);
+ s << nUBuckets;
+ std::unordered_map<int, int> mapUnkIds;
+ int nIds = 0;
+ for (const auto& entry : mapInfo) {
+ mapUnkIds[entry.first] = nIds;
+ const AddrInfo& info = entry.second;
+ if (info.nRefCount) {
+ assert(nIds != nNew); // this means nNew was wrong, oh ow
+ s << info;
+ nIds++;
+ }
+ }
+ nIds = 0;
+ for (const auto& entry : mapInfo) {
+ const AddrInfo& info = entry.second;
+ if (info.fInTried) {
+ assert(nIds != nTried); // this means nTried was wrong, oh ow
+ s << info;
+ nIds++;
+ }
+ }
+ for (int bucket = 0; bucket < ADDRMAN_NEW_BUCKET_COUNT; bucket++) {
+ int nSize = 0;
+ for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
+ if (vvNew[bucket][i] != -1)
+ nSize++;
+ }
+ s << nSize;
+ for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
+ if (vvNew[bucket][i] != -1) {
+ int nIndex = mapUnkIds[vvNew[bucket][i]];
+ s << nIndex;
+ }
+ }
+ }
+ // Store asmap checksum after bucket entries so that it
+ // can be ignored by older clients for backward compatibility.
+ uint256 asmap_checksum;
+ if (m_asmap.size() != 0) {
+ asmap_checksum = SerializeHash(m_asmap);
+ }
+ s << asmap_checksum;
+}
+
+template <typename Stream>
+void AddrManImpl::Unserialize(Stream& s_)
+{
+ LOCK(cs);
+
+ assert(vRandom.empty());
+
+ Format format;
+ s_ >> Using<CustomUintFormatter<1>>(format);
+
+ int stream_version = s_.GetVersion();
+ if (format >= Format::V3_BIP155) {
+ // Add ADDRV2_FORMAT to the version so that the CNetAddr and CAddress
+ // unserialize methods know that an address in addrv2 format is coming.
+ stream_version |= ADDRV2_FORMAT;
+ }
+
+ OverrideStream<Stream> s(&s_, s_.GetType(), stream_version);
+
+ uint8_t compat;
+ s >> compat;
+ const uint8_t lowest_compatible = compat - INCOMPATIBILITY_BASE;
+ if (lowest_compatible > FILE_FORMAT) {
+ throw std::ios_base::failure(strprintf(
+ "Unsupported format of addrman database: %u. It is compatible with formats >=%u, "
+ "but the maximum supported by this version of %s is %u.",
+ uint8_t{format}, uint8_t{lowest_compatible}, PACKAGE_NAME, uint8_t{FILE_FORMAT}));
+ }
+
+ s >> nKey;
+ s >> nNew;
+ s >> nTried;
+ int nUBuckets = 0;
+ s >> nUBuckets;
+ if (format >= Format::V1_DETERMINISTIC) {
+ nUBuckets ^= (1 << 30);
+ }
+
+ if (nNew > ADDRMAN_NEW_BUCKET_COUNT * ADDRMAN_BUCKET_SIZE || nNew < 0) {
+ throw std::ios_base::failure(
+ strprintf("Corrupt AddrMan serialization: nNew=%d, should be in [0, %d]",
+ nNew,
+ ADDRMAN_NEW_BUCKET_COUNT * ADDRMAN_BUCKET_SIZE));
+ }
+
+ if (nTried > ADDRMAN_TRIED_BUCKET_COUNT * ADDRMAN_BUCKET_SIZE || nTried < 0) {
+ throw std::ios_base::failure(
+ strprintf("Corrupt AddrMan serialization: nTried=%d, should be in [0, %d]",
+ nTried,
+ ADDRMAN_TRIED_BUCKET_COUNT * ADDRMAN_BUCKET_SIZE));
+ }
+
+ // Deserialize entries from the new table.
+ for (int n = 0; n < nNew; n++) {
+ AddrInfo& info = mapInfo[n];
+ s >> info;
+ mapAddr[info] = n;
+ info.nRandomPos = vRandom.size();
+ vRandom.push_back(n);
+ }
+ nIdCount = nNew;
+
+ // Deserialize entries from the tried table.
+ int nLost = 0;
+ for (int n = 0; n < nTried; n++) {
+ AddrInfo info;
+ s >> info;
+ int nKBucket = info.GetTriedBucket(nKey, m_asmap);
+ int nKBucketPos = info.GetBucketPosition(nKey, false, nKBucket);
+ if (info.IsValid()
+ && vvTried[nKBucket][nKBucketPos] == -1) {
+ info.nRandomPos = vRandom.size();
+ info.fInTried = true;
+ vRandom.push_back(nIdCount);
+ mapInfo[nIdCount] = info;
+ mapAddr[info] = nIdCount;
+ vvTried[nKBucket][nKBucketPos] = nIdCount;
+ nIdCount++;
+ } else {
+ nLost++;
+ }
+ }
+ nTried -= nLost;
+
+ // Store positions in the new table buckets to apply later (if possible).
+ // An entry may appear in up to ADDRMAN_NEW_BUCKETS_PER_ADDRESS buckets,
+ // so we store all bucket-entry_index pairs to iterate through later.
+ std::vector<std::pair<int, int>> bucket_entries;
+
+ for (int bucket = 0; bucket < nUBuckets; ++bucket) {
+ int num_entries{0};
+ s >> num_entries;
+ for (int n = 0; n < num_entries; ++n) {
+ int entry_index{0};
+ s >> entry_index;
+ if (entry_index >= 0 && entry_index < nNew) {
+ bucket_entries.emplace_back(bucket, entry_index);
+ }
+ }
+ }
+
+ // If the bucket count and asmap checksum haven't changed, then attempt
+ // to restore the entries to the buckets/positions they were in before
+ // serialization.
+ uint256 supplied_asmap_checksum;
+ if (m_asmap.size() != 0) {
+ supplied_asmap_checksum = SerializeHash(m_asmap);
+ }
+ uint256 serialized_asmap_checksum;
+ if (format >= Format::V2_ASMAP) {
+ s >> serialized_asmap_checksum;
+ }
+ const bool restore_bucketing{nUBuckets == ADDRMAN_NEW_BUCKET_COUNT &&
+ serialized_asmap_checksum == supplied_asmap_checksum};
+
+ if (!restore_bucketing) {
+ LogPrint(BCLog::ADDRMAN, "Bucketing method was updated, re-bucketing addrman entries from disk\n");
+ }
+
+ for (auto bucket_entry : bucket_entries) {
+ int bucket{bucket_entry.first};
+ const int entry_index{bucket_entry.second};
+ AddrInfo& info = mapInfo[entry_index];
+
+ // Don't store the entry in the new bucket if it's not a valid address for our addrman
+ if (!info.IsValid()) continue;
+
+ // The entry shouldn't appear in more than
+ // ADDRMAN_NEW_BUCKETS_PER_ADDRESS. If it has already, just skip
+ // this bucket_entry.
+ if (info.nRefCount >= ADDRMAN_NEW_BUCKETS_PER_ADDRESS) continue;
+
+ int bucket_position = info.GetBucketPosition(nKey, true, bucket);
+ if (restore_bucketing && vvNew[bucket][bucket_position] == -1) {
+ // Bucketing has not changed, using existing bucket positions for the new table
+ vvNew[bucket][bucket_position] = entry_index;
+ ++info.nRefCount;
+ } else {
+ // In case the new table data cannot be used (bucket count wrong or new asmap),
+ // try to give them a reference based on their primary source address.
+ bucket = info.GetNewBucket(nKey, m_asmap);
+ bucket_position = info.GetBucketPosition(nKey, true, bucket);
+ if (vvNew[bucket][bucket_position] == -1) {
+ vvNew[bucket][bucket_position] = entry_index;
+ ++info.nRefCount;
+ }
+ }
+ }
+
+ // Prune new entries with refcount 0 (as a result of collisions or invalid address).
+ int nLostUnk = 0;
+ for (auto it = mapInfo.cbegin(); it != mapInfo.cend(); ) {
+ if (it->second.fInTried == false && it->second.nRefCount == 0) {
+ const auto itCopy = it++;
+ Delete(itCopy->first);
+ ++nLostUnk;
+ } else {
+ ++it;
+ }
+ }
+ if (nLost + nLostUnk > 0) {
+ LogPrint(BCLog::ADDRMAN, "addrman lost %i new and %i tried addresses due to collisions or invalid addresses\n", nLostUnk, nLost);
+ }
+
+ const int check_code{CheckAddrman()};
+ if (check_code != 0) {
+ throw std::ios_base::failure(strprintf(
+ "Corrupt data. Consistency check failed with code %s",
+ check_code));
+ }
+}
+
+AddrInfo* AddrManImpl::Find(const CService& addr, int* pnId)
{
- std::map<CNetAddr, int>::iterator it = mapAddr.find(addr);
+ AssertLockHeld(cs);
+
+ const auto it = mapAddr.find(addr);
if (it == mapAddr.end())
return nullptr;
if (pnId)
*pnId = (*it).second;
- std::map<int, CAddrInfo>::iterator it2 = mapInfo.find((*it).second);
+ const auto it2 = mapInfo.find((*it).second);
if (it2 != mapInfo.end())
return &(*it2).second;
return nullptr;
}
-CAddrInfo* CAddrMan::Create(const CAddress& addr, const CNetAddr& addrSource, int* pnId)
+AddrInfo* AddrManImpl::Create(const CAddress& addr, const CNetAddr& addrSource, int* pnId)
{
+ AssertLockHeld(cs);
+
int nId = nIdCount++;
- mapInfo[nId] = CAddrInfo(addr, addrSource);
+ mapInfo[nId] = AddrInfo(addr, addrSource);
mapAddr[addr] = nId;
mapInfo[nId].nRandomPos = vRandom.size();
vRandom.push_back(nId);
@@ -98,8 +426,10 @@ CAddrInfo* CAddrMan::Create(const CAddress& addr, const CNetAddr& addrSource, in
return &mapInfo[nId];
}
-void CAddrMan::SwapRandom(unsigned int nRndPos1, unsigned int nRndPos2)
+void AddrManImpl::SwapRandom(unsigned int nRndPos1, unsigned int nRndPos2) const
{
+ AssertLockHeld(cs);
+
if (nRndPos1 == nRndPos2)
return;
@@ -108,20 +438,24 @@ void CAddrMan::SwapRandom(unsigned int nRndPos1, unsigned int nRndPos2)
int nId1 = vRandom[nRndPos1];
int nId2 = vRandom[nRndPos2];
- assert(mapInfo.count(nId1) == 1);
- assert(mapInfo.count(nId2) == 1);
+ const auto it_1{mapInfo.find(nId1)};
+ const auto it_2{mapInfo.find(nId2)};
+ assert(it_1 != mapInfo.end());
+ assert(it_2 != mapInfo.end());
- mapInfo[nId1].nRandomPos = nRndPos2;
- mapInfo[nId2].nRandomPos = nRndPos1;
+ it_1->second.nRandomPos = nRndPos2;
+ it_2->second.nRandomPos = nRndPos1;
vRandom[nRndPos1] = nId2;
vRandom[nRndPos2] = nId1;
}
-void CAddrMan::Delete(int nId)
+void AddrManImpl::Delete(int nId)
{
+ AssertLockHeld(cs);
+
assert(mapInfo.count(nId) != 0);
- CAddrInfo& info = mapInfo[nId];
+ AddrInfo& info = mapInfo[nId];
assert(!info.fInTried);
assert(info.nRefCount == 0);
@@ -132,29 +466,37 @@ void CAddrMan::Delete(int nId)
nNew--;
}
-void CAddrMan::ClearNew(int nUBucket, int nUBucketPos)
+void AddrManImpl::ClearNew(int nUBucket, int nUBucketPos)
{
+ AssertLockHeld(cs);
+
// if there is an entry in the specified bucket, delete it.
if (vvNew[nUBucket][nUBucketPos] != -1) {
int nIdDelete = vvNew[nUBucket][nUBucketPos];
- CAddrInfo& infoDelete = mapInfo[nIdDelete];
+ AddrInfo& infoDelete = mapInfo[nIdDelete];
assert(infoDelete.nRefCount > 0);
infoDelete.nRefCount--;
vvNew[nUBucket][nUBucketPos] = -1;
+ LogPrint(BCLog::ADDRMAN, "Removed %s from new[%i][%i]\n", infoDelete.ToString(), nUBucket, nUBucketPos);
if (infoDelete.nRefCount == 0) {
Delete(nIdDelete);
}
}
}
-void CAddrMan::MakeTried(CAddrInfo& info, int nId)
+void AddrManImpl::MakeTried(AddrInfo& info, int nId)
{
+ AssertLockHeld(cs);
+
// remove the entry from all new buckets
- for (int bucket = 0; bucket < ADDRMAN_NEW_BUCKET_COUNT; bucket++) {
- int pos = info.GetBucketPosition(nKey, true, bucket);
+ const int start_bucket{info.GetNewBucket(nKey, m_asmap)};
+ for (int n = 0; n < ADDRMAN_NEW_BUCKET_COUNT; ++n) {
+ const int bucket{(start_bucket + n) % ADDRMAN_NEW_BUCKET_COUNT};
+ const int pos{info.GetBucketPosition(nKey, true, bucket)};
if (vvNew[bucket][pos] == nId) {
vvNew[bucket][pos] = -1;
info.nRefCount--;
+ if (info.nRefCount == 0) break;
}
}
nNew--;
@@ -170,7 +512,7 @@ void CAddrMan::MakeTried(CAddrInfo& info, int nId)
// find an item to evict
int nIdEvict = vvTried[nKBucket][nKBucketPos];
assert(mapInfo.count(nIdEvict) == 1);
- CAddrInfo& infoOld = mapInfo[nIdEvict];
+ AddrInfo& infoOld = mapInfo[nIdEvict];
// Remove the to-be-evicted item from the tried set.
infoOld.fInTried = false;
@@ -187,6 +529,8 @@ void CAddrMan::MakeTried(CAddrInfo& info, int nId)
infoOld.nRefCount = 1;
vvNew[nUBucket][nUBucketPos] = nIdEvict;
nNew++;
+ LogPrint(BCLog::ADDRMAN, "Moved %s from tried[%i][%i] to new[%i][%i] to make space\n",
+ infoOld.ToString(), nKBucket, nKBucketPos, nUBucket, nUBucketPos);
}
assert(vvTried[nKBucket][nKBucketPos] == -1);
@@ -195,80 +539,15 @@ void CAddrMan::MakeTried(CAddrInfo& info, int nId)
info.fInTried = true;
}
-void CAddrMan::Good_(const CService& addr, bool test_before_evict, int64_t nTime)
+bool AddrManImpl::AddSingle(const CAddress& addr, const CNetAddr& source, int64_t nTimePenalty)
{
- int nId;
-
- nLastGood = nTime;
-
- CAddrInfo* pinfo = Find(addr, &nId);
+ AssertLockHeld(cs);
- // if not found, bail out
- if (!pinfo)
- return;
-
- CAddrInfo& info = *pinfo;
-
- // check whether we are talking about the exact same CService (including same port)
- if (info != addr)
- return;
-
- // update info
- info.nLastSuccess = nTime;
- info.nLastTry = nTime;
- info.nAttempts = 0;
- // nTime is not updated here, to avoid leaking information about
- // currently-connected peers.
-
- // if it is already in the tried set, don't do anything else
- if (info.fInTried)
- return;
-
- // find a bucket it is in now
- int nRnd = insecure_rand.randrange(ADDRMAN_NEW_BUCKET_COUNT);
- int nUBucket = -1;
- for (unsigned int n = 0; n < ADDRMAN_NEW_BUCKET_COUNT; n++) {
- int nB = (n + nRnd) % ADDRMAN_NEW_BUCKET_COUNT;
- int nBpos = info.GetBucketPosition(nKey, true, nB);
- if (vvNew[nB][nBpos] == nId) {
- nUBucket = nB;
- break;
- }
- }
-
- // if no bucket is found, something bad happened;
- // TODO: maybe re-add the node, but for now, just bail out
- if (nUBucket == -1)
- return;
-
- // which tried bucket to move the entry to
- int tried_bucket = info.GetTriedBucket(nKey, m_asmap);
- int tried_bucket_pos = info.GetBucketPosition(nKey, false, tried_bucket);
-
- // Will moving this address into tried evict another entry?
- if (test_before_evict && (vvTried[tried_bucket][tried_bucket_pos] != -1)) {
- // Output the entry we'd be colliding with, for debugging purposes
- auto colliding_entry = mapInfo.find(vvTried[tried_bucket][tried_bucket_pos]);
- LogPrint(BCLog::ADDRMAN, "Collision inserting element into tried table (%s), moving %s to m_tried_collisions=%d\n", colliding_entry != mapInfo.end() ? colliding_entry->second.ToString() : "", addr.ToString(), m_tried_collisions.size());
- if (m_tried_collisions.size() < ADDRMAN_SET_TRIED_COLLISION_SIZE) {
- m_tried_collisions.insert(nId);
- }
- } else {
- LogPrint(BCLog::ADDRMAN, "Moving %s to tried\n", addr.ToString());
-
- // move nId to the tried tables
- MakeTried(info, nId);
- }
-}
-
-bool CAddrMan::Add_(const CAddress& addr, const CNetAddr& source, int64_t nTimePenalty)
-{
if (!addr.IsRoutable())
return false;
- bool fNew = false;
int nId;
- CAddrInfo* pinfo = Find(addr, &nId);
+ AddrInfo* pinfo = Find(addr, &nId);
// Do not set a penalty for a source's self-announcement
if (addr == source) {
@@ -307,15 +586,14 @@ bool CAddrMan::Add_(const CAddress& addr, const CNetAddr& source, int64_t nTimeP
pinfo = Create(addr, source, &nId);
pinfo->nTime = std::max((int64_t)0, (int64_t)pinfo->nTime - nTimePenalty);
nNew++;
- fNew = true;
}
int nUBucket = pinfo->GetNewBucket(nKey, source, m_asmap);
int nUBucketPos = pinfo->GetBucketPosition(nKey, true, nUBucket);
+ bool fInsert = vvNew[nUBucket][nUBucketPos] == -1;
if (vvNew[nUBucket][nUBucketPos] != nId) {
- bool fInsert = vvNew[nUBucket][nUBucketPos] == -1;
if (!fInsert) {
- CAddrInfo& infoExisting = mapInfo[vvNew[nUBucket][nUBucketPos]];
+ AddrInfo& infoExisting = mapInfo[vvNew[nUBucket][nUBucketPos]];
if (infoExisting.IsTerrible() || (infoExisting.nRefCount > 1 && pinfo->nRefCount == 0)) {
// Overwrite the existing new table entry.
fInsert = true;
@@ -325,29 +603,95 @@ bool CAddrMan::Add_(const CAddress& addr, const CNetAddr& source, int64_t nTimeP
ClearNew(nUBucket, nUBucketPos);
pinfo->nRefCount++;
vvNew[nUBucket][nUBucketPos] = nId;
+ LogPrint(BCLog::ADDRMAN, "Added %s mapped to AS%i to new[%i][%i]\n",
+ addr.ToString(), addr.GetMappedAS(m_asmap), nUBucket, nUBucketPos);
} else {
if (pinfo->nRefCount == 0) {
Delete(nId);
}
}
}
- return fNew;
+ return fInsert;
}
-void CAddrMan::Attempt_(const CService& addr, bool fCountFailure, int64_t nTime)
+bool AddrManImpl::Good_(const CService& addr, bool test_before_evict, int64_t nTime)
{
- CAddrInfo* pinfo = Find(addr);
+ AssertLockHeld(cs);
+
+ int nId;
+
+ nLastGood = nTime;
+
+ AddrInfo* pinfo = Find(addr, &nId);
// if not found, bail out
- if (!pinfo)
- return;
+ if (!pinfo) return false;
- CAddrInfo& info = *pinfo;
+ AddrInfo& info = *pinfo;
- // check whether we are talking about the exact same CService (including same port)
- if (info != addr)
+ // update info
+ info.nLastSuccess = nTime;
+ info.nLastTry = nTime;
+ info.nAttempts = 0;
+ // nTime is not updated here, to avoid leaking information about
+ // currently-connected peers.
+
+ // if it is already in the tried set, don't do anything else
+ if (info.fInTried) return false;
+
+ // if it is not in new, something bad happened
+ if (!Assume(info.nRefCount > 0)) return false;
+
+
+ // which tried bucket to move the entry to
+ int tried_bucket = info.GetTriedBucket(nKey, m_asmap);
+ int tried_bucket_pos = info.GetBucketPosition(nKey, false, tried_bucket);
+
+ // Will moving this address into tried evict another entry?
+ if (test_before_evict && (vvTried[tried_bucket][tried_bucket_pos] != -1)) {
+ if (m_tried_collisions.size() < ADDRMAN_SET_TRIED_COLLISION_SIZE) {
+ m_tried_collisions.insert(nId);
+ }
+ // Output the entry we'd be colliding with, for debugging purposes
+ auto colliding_entry = mapInfo.find(vvTried[tried_bucket][tried_bucket_pos]);
+ LogPrint(BCLog::ADDRMAN, "Collision with %s while attempting to move %s to tried table. Collisions=%d\n",
+ colliding_entry != mapInfo.end() ? colliding_entry->second.ToString() : "",
+ addr.ToString(),
+ m_tried_collisions.size());
+ return false;
+ } else {
+ // move nId to the tried tables
+ MakeTried(info, nId);
+ LogPrint(BCLog::ADDRMAN, "Moved %s mapped to AS%i to tried[%i][%i]\n",
+ addr.ToString(), addr.GetMappedAS(m_asmap), tried_bucket, tried_bucket_pos);
+ return true;
+ }
+}
+
+bool AddrManImpl::Add_(const std::vector<CAddress> &vAddr, const CNetAddr& source, int64_t nTimePenalty)
+{
+ int added{0};
+ for (std::vector<CAddress>::const_iterator it = vAddr.begin(); it != vAddr.end(); it++) {
+ added += AddSingle(*it, source, nTimePenalty) ? 1 : 0;
+ }
+ if (added > 0) {
+ LogPrint(BCLog::ADDRMAN, "Added %i addresses (of %i) from %s: %i tried, %i new\n", added, vAddr.size(), source.ToString(), nTried, nNew);
+ }
+ return added > 0;
+}
+
+void AddrManImpl::Attempt_(const CService& addr, bool fCountFailure, int64_t nTime)
+{
+ AssertLockHeld(cs);
+
+ AddrInfo* pinfo = Find(addr);
+
+ // if not found, bail out
+ if (!pinfo)
return;
+ AddrInfo& info = *pinfo;
+
// update info
info.nLastTry = nTime;
if (fCountFailure && info.nLastCountAttempt < nLastGood) {
@@ -356,13 +700,13 @@ void CAddrMan::Attempt_(const CService& addr, bool fCountFailure, int64_t nTime)
}
}
-CAddrInfo CAddrMan::Select_(bool newOnly)
+std::pair<CAddress, int64_t> AddrManImpl::Select_(bool newOnly) const
{
- if (size() == 0)
- return CAddrInfo();
+ AssertLockHeld(cs);
+
+ if (vRandom.empty()) return {};
- if (newOnly && nNew == 0)
- return CAddrInfo();
+ if (newOnly && nNew == 0) return {};
// Use a 50% chance for choosing between tried and new table entries.
if (!newOnly &&
@@ -370,119 +714,65 @@ CAddrInfo CAddrMan::Select_(bool newOnly)
// use a tried node
double fChanceFactor = 1.0;
while (1) {
+ // Pick a tried bucket, and an initial position in that bucket.
int nKBucket = insecure_rand.randrange(ADDRMAN_TRIED_BUCKET_COUNT);
int nKBucketPos = insecure_rand.randrange(ADDRMAN_BUCKET_SIZE);
- while (vvTried[nKBucket][nKBucketPos] == -1) {
- nKBucket = (nKBucket + insecure_rand.randbits(ADDRMAN_TRIED_BUCKET_COUNT_LOG2)) % ADDRMAN_TRIED_BUCKET_COUNT;
- nKBucketPos = (nKBucketPos + insecure_rand.randbits(ADDRMAN_BUCKET_SIZE_LOG2)) % ADDRMAN_BUCKET_SIZE;
+ // Iterate over the positions of that bucket, starting at the initial one,
+ // and looping around.
+ int i;
+ for (i = 0; i < ADDRMAN_BUCKET_SIZE; ++i) {
+ if (vvTried[nKBucket][(nKBucketPos + i) % ADDRMAN_BUCKET_SIZE] != -1) break;
}
- int nId = vvTried[nKBucket][nKBucketPos];
- assert(mapInfo.count(nId) == 1);
- CAddrInfo& info = mapInfo[nId];
- if (insecure_rand.randbits(30) < fChanceFactor * info.GetChance() * (1 << 30))
- return info;
+ // If the bucket is entirely empty, start over with a (likely) different one.
+ if (i == ADDRMAN_BUCKET_SIZE) continue;
+ // Find the entry to return.
+ int nId = vvTried[nKBucket][(nKBucketPos + i) % ADDRMAN_BUCKET_SIZE];
+ const auto it_found{mapInfo.find(nId)};
+ assert(it_found != mapInfo.end());
+ const AddrInfo& info{it_found->second};
+ // With probability GetChance() * fChanceFactor, return the entry.
+ if (insecure_rand.randbits(30) < fChanceFactor * info.GetChance() * (1 << 30)) {
+ LogPrint(BCLog::ADDRMAN, "Selected %s from tried\n", info.ToString());
+ return {info, info.nLastTry};
+ }
+ // Otherwise start over with a (likely) different bucket, and increased chance factor.
fChanceFactor *= 1.2;
}
} else {
// use a new node
double fChanceFactor = 1.0;
while (1) {
+ // Pick a new bucket, and an initial position in that bucket.
int nUBucket = insecure_rand.randrange(ADDRMAN_NEW_BUCKET_COUNT);
int nUBucketPos = insecure_rand.randrange(ADDRMAN_BUCKET_SIZE);
- while (vvNew[nUBucket][nUBucketPos] == -1) {
- nUBucket = (nUBucket + insecure_rand.randbits(ADDRMAN_NEW_BUCKET_COUNT_LOG2)) % ADDRMAN_NEW_BUCKET_COUNT;
- nUBucketPos = (nUBucketPos + insecure_rand.randbits(ADDRMAN_BUCKET_SIZE_LOG2)) % ADDRMAN_BUCKET_SIZE;
+ // Iterate over the positions of that bucket, starting at the initial one,
+ // and looping around.
+ int i;
+ for (i = 0; i < ADDRMAN_BUCKET_SIZE; ++i) {
+ if (vvNew[nUBucket][(nUBucketPos + i) % ADDRMAN_BUCKET_SIZE] != -1) break;
+ }
+ // If the bucket is entirely empty, start over with a (likely) different one.
+ if (i == ADDRMAN_BUCKET_SIZE) continue;
+ // Find the entry to return.
+ int nId = vvNew[nUBucket][(nUBucketPos + i) % ADDRMAN_BUCKET_SIZE];
+ const auto it_found{mapInfo.find(nId)};
+ assert(it_found != mapInfo.end());
+ const AddrInfo& info{it_found->second};
+ // With probability GetChance() * fChanceFactor, return the entry.
+ if (insecure_rand.randbits(30) < fChanceFactor * info.GetChance() * (1 << 30)) {
+ LogPrint(BCLog::ADDRMAN, "Selected %s from new\n", info.ToString());
+ return {info, info.nLastTry};
}
- int nId = vvNew[nUBucket][nUBucketPos];
- assert(mapInfo.count(nId) == 1);
- CAddrInfo& info = mapInfo[nId];
- if (insecure_rand.randbits(30) < fChanceFactor * info.GetChance() * (1 << 30))
- return info;
+ // Otherwise start over with a (likely) different bucket, and increased chance factor.
fChanceFactor *= 1.2;
}
}
}
-#ifdef DEBUG_ADDRMAN
-int CAddrMan::Check_()
+std::vector<CAddress> AddrManImpl::GetAddr_(size_t max_addresses, size_t max_pct, std::optional<Network> network) const
{
- std::set<int> setTried;
- std::map<int, int> mapNew;
-
- if (vRandom.size() != (size_t)(nTried + nNew))
- return -7;
+ AssertLockHeld(cs);
- for (const auto& entry : mapInfo) {
- int n = entry.first;
- const CAddrInfo& info = entry.second;
- if (info.fInTried) {
- if (!info.nLastSuccess)
- return -1;
- if (info.nRefCount)
- return -2;
- setTried.insert(n);
- } else {
- if (info.nRefCount < 0 || info.nRefCount > ADDRMAN_NEW_BUCKETS_PER_ADDRESS)
- return -3;
- if (!info.nRefCount)
- return -4;
- mapNew[n] = info.nRefCount;
- }
- if (mapAddr[info] != n)
- return -5;
- if (info.nRandomPos < 0 || (size_t)info.nRandomPos >= vRandom.size() || vRandom[info.nRandomPos] != n)
- return -14;
- if (info.nLastTry < 0)
- return -6;
- if (info.nLastSuccess < 0)
- return -8;
- }
-
- if (setTried.size() != (size_t)nTried)
- return -9;
- if (mapNew.size() != (size_t)nNew)
- return -10;
-
- for (int n = 0; n < ADDRMAN_TRIED_BUCKET_COUNT; n++) {
- for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
- if (vvTried[n][i] != -1) {
- if (!setTried.count(vvTried[n][i]))
- return -11;
- if (mapInfo[vvTried[n][i]].GetTriedBucket(nKey, m_asmap) != n)
- return -17;
- if (mapInfo[vvTried[n][i]].GetBucketPosition(nKey, false, n) != i)
- return -18;
- setTried.erase(vvTried[n][i]);
- }
- }
- }
-
- for (int n = 0; n < ADDRMAN_NEW_BUCKET_COUNT; n++) {
- for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
- if (vvNew[n][i] != -1) {
- if (!mapNew.count(vvNew[n][i]))
- return -12;
- if (mapInfo[vvNew[n][i]].GetBucketPosition(nKey, true, n) != i)
- return -19;
- if (--mapNew[vvNew[n][i]] == 0)
- mapNew.erase(vvNew[n][i]);
- }
- }
- }
-
- if (setTried.size())
- return -13;
- if (mapNew.size())
- return -15;
- if (nKey.IsNull())
- return -16;
-
- return 0;
-}
-#endif
-
-void CAddrMan::GetAddr_(std::vector<CAddress>& vAddr, size_t max_addresses, size_t max_pct)
-{
size_t nNodes = vRandom.size();
if (max_pct != 0) {
nNodes = max_pct * nNodes / 100;
@@ -492,33 +782,42 @@ void CAddrMan::GetAddr_(std::vector<CAddress>& vAddr, size_t max_addresses, size
}
// gather a list of random nodes, skipping those of low quality
+ const int64_t now{GetAdjustedTime()};
+ std::vector<CAddress> addresses;
for (unsigned int n = 0; n < vRandom.size(); n++) {
- if (vAddr.size() >= nNodes)
+ if (addresses.size() >= nNodes)
break;
int nRndPos = insecure_rand.randrange(vRandom.size() - n) + n;
SwapRandom(n, nRndPos);
- assert(mapInfo.count(vRandom[n]) == 1);
+ const auto it{mapInfo.find(vRandom[n])};
+ assert(it != mapInfo.end());
+
+ const AddrInfo& ai{it->second};
+
+ // Filter by network (optional)
+ if (network != std::nullopt && ai.GetNetClass() != network) continue;
- const CAddrInfo& ai = mapInfo[vRandom[n]];
- if (!ai.IsTerrible())
- vAddr.push_back(ai);
+ // Filter for quality
+ if (ai.IsTerrible(now)) continue;
+
+ addresses.push_back(ai);
}
+ LogPrint(BCLog::ADDRMAN, "GetAddr returned %d random addresses\n", addresses.size());
+ return addresses;
}
-void CAddrMan::Connected_(const CService& addr, int64_t nTime)
+void AddrManImpl::Connected_(const CService& addr, int64_t nTime)
{
- CAddrInfo* pinfo = Find(addr);
+ AssertLockHeld(cs);
+
+ AddrInfo* pinfo = Find(addr);
// if not found, bail out
if (!pinfo)
return;
- CAddrInfo& info = *pinfo;
-
- // check whether we are talking about the exact same CService (including same port)
- if (info != addr)
- return;
+ AddrInfo& info = *pinfo;
// update info
int64_t nUpdateInterval = 20 * 60;
@@ -526,26 +825,26 @@ void CAddrMan::Connected_(const CService& addr, int64_t nTime)
info.nTime = nTime;
}
-void CAddrMan::SetServices_(const CService& addr, ServiceFlags nServices)
+void AddrManImpl::SetServices_(const CService& addr, ServiceFlags nServices)
{
- CAddrInfo* pinfo = Find(addr);
+ AssertLockHeld(cs);
+
+ AddrInfo* pinfo = Find(addr);
// if not found, bail out
if (!pinfo)
return;
- CAddrInfo& info = *pinfo;
-
- // check whether we are talking about the exact same CService (including same port)
- if (info != addr)
- return;
+ AddrInfo& info = *pinfo;
// update info
info.nServices = nServices;
}
-void CAddrMan::ResolveCollisions_()
+void AddrManImpl::ResolveCollisions_()
{
+ AssertLockHeld(cs);
+
for (std::set<int>::iterator it = m_tried_collisions.begin(); it != m_tried_collisions.end();) {
int id_new = *it;
@@ -555,7 +854,7 @@ void CAddrMan::ResolveCollisions_()
if (mapInfo.count(id_new) != 1) {
erase_collision = true;
} else {
- CAddrInfo& info_new = mapInfo[id_new];
+ AddrInfo& info_new = mapInfo[id_new];
// Which tried bucket to move the entry to.
int tried_bucket = info_new.GetTriedBucket(nKey, m_asmap);
@@ -566,7 +865,7 @@ void CAddrMan::ResolveCollisions_()
// Get the to-be-evicted address that is being tested
int id_old = vvTried[tried_bucket][tried_bucket_pos];
- CAddrInfo& info_old = mapInfo[id_old];
+ AddrInfo& info_old = mapInfo[id_old];
// Has successfully connected in last X hours
if (GetAdjustedTime() - info_old.nLastSuccess < ADDRMAN_REPLACEMENT_HOURS*(60*60)) {
@@ -603,9 +902,11 @@ void CAddrMan::ResolveCollisions_()
}
}
-CAddrInfo CAddrMan::SelectTriedCollision_()
+std::pair<CAddress, int64_t> AddrManImpl::SelectTriedCollision_()
{
- if (m_tried_collisions.size() == 0) return CAddrInfo();
+ AssertLockHeld(cs);
+
+ if (m_tried_collisions.size() == 0) return {};
std::set<int>::iterator it = m_tried_collisions.begin();
@@ -616,43 +917,324 @@ CAddrInfo CAddrMan::SelectTriedCollision_()
// If id_new not found in mapInfo remove it from m_tried_collisions
if (mapInfo.count(id_new) != 1) {
m_tried_collisions.erase(it);
- return CAddrInfo();
+ return {};
}
- const CAddrInfo& newInfo = mapInfo[id_new];
+ const AddrInfo& newInfo = mapInfo[id_new];
// which tried bucket to move the entry to
int tried_bucket = newInfo.GetTriedBucket(nKey, m_asmap);
int tried_bucket_pos = newInfo.GetBucketPosition(nKey, false, tried_bucket);
- int id_old = vvTried[tried_bucket][tried_bucket_pos];
+ const AddrInfo& info_old = mapInfo[vvTried[tried_bucket][tried_bucket_pos]];
+ return {info_old, info_old.nLastTry};
+}
+
+std::optional<AddressPosition> AddrManImpl::FindAddressEntry_(const CAddress& addr)
+{
+ AssertLockHeld(cs);
+
+ AddrInfo* addr_info = Find(addr);
+
+ if (!addr_info) return std::nullopt;
- return mapInfo[id_old];
+ if(addr_info->fInTried) {
+ int bucket{addr_info->GetTriedBucket(nKey, m_asmap)};
+ return AddressPosition(/*tried=*/true,
+ /*multiplicity=*/1,
+ /*bucket=*/bucket,
+ /*position=*/addr_info->GetBucketPosition(nKey, false, bucket));
+ } else {
+ int bucket{addr_info->GetNewBucket(nKey, m_asmap)};
+ return AddressPosition(/*tried=*/false,
+ /*multiplicity=*/addr_info->nRefCount,
+ /*bucket=*/bucket,
+ /*position=*/addr_info->GetBucketPosition(nKey, true, bucket));
+ }
}
-std::vector<bool> CAddrMan::DecodeAsmap(fs::path path)
+void AddrManImpl::Check() const
{
- std::vector<bool> bits;
- FILE *filestr = fsbridge::fopen(path, "rb");
- CAutoFile file(filestr, SER_DISK, CLIENT_VERSION);
- if (file.IsNull()) {
- LogPrintf("Failed to open asmap file from disk\n");
- return bits;
+ AssertLockHeld(cs);
+
+ // Run consistency checks 1 in m_consistency_check_ratio times if enabled
+ if (m_consistency_check_ratio == 0) return;
+ if (insecure_rand.randrange(m_consistency_check_ratio) >= 1) return;
+
+ const int err{CheckAddrman()};
+ if (err) {
+ LogPrintf("ADDRMAN CONSISTENCY CHECK FAILED!!! err=%i\n", err);
+ assert(false);
+ }
+}
+
+int AddrManImpl::CheckAddrman() const
+{
+ AssertLockHeld(cs);
+
+ LOG_TIME_MILLIS_WITH_CATEGORY_MSG_ONCE(
+ strprintf("new %i, tried %i, total %u", nNew, nTried, vRandom.size()), BCLog::ADDRMAN);
+
+ std::unordered_set<int> setTried;
+ std::unordered_map<int, int> mapNew;
+
+ if (vRandom.size() != (size_t)(nTried + nNew))
+ return -7;
+
+ for (const auto& entry : mapInfo) {
+ int n = entry.first;
+ const AddrInfo& info = entry.second;
+ if (info.fInTried) {
+ if (!info.nLastSuccess)
+ return -1;
+ if (info.nRefCount)
+ return -2;
+ setTried.insert(n);
+ } else {
+ if (info.nRefCount < 0 || info.nRefCount > ADDRMAN_NEW_BUCKETS_PER_ADDRESS)
+ return -3;
+ if (!info.nRefCount)
+ return -4;
+ mapNew[n] = info.nRefCount;
+ }
+ const auto it{mapAddr.find(info)};
+ if (it == mapAddr.end() || it->second != n) {
+ return -5;
+ }
+ if (info.nRandomPos < 0 || (size_t)info.nRandomPos >= vRandom.size() || vRandom[info.nRandomPos] != n)
+ return -14;
+ if (info.nLastTry < 0)
+ return -6;
+ if (info.nLastSuccess < 0)
+ return -8;
}
- fseek(filestr, 0, SEEK_END);
- int length = ftell(filestr);
- LogPrintf("Opened asmap file %s (%d bytes) from disk\n", path, length);
- fseek(filestr, 0, SEEK_SET);
- char cur_byte;
- for (int i = 0; i < length; ++i) {
- file >> cur_byte;
- for (int bit = 0; bit < 8; ++bit) {
- bits.push_back((cur_byte >> bit) & 1);
+
+ if (setTried.size() != (size_t)nTried)
+ return -9;
+ if (mapNew.size() != (size_t)nNew)
+ return -10;
+
+ for (int n = 0; n < ADDRMAN_TRIED_BUCKET_COUNT; n++) {
+ for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
+ if (vvTried[n][i] != -1) {
+ if (!setTried.count(vvTried[n][i]))
+ return -11;
+ const auto it{mapInfo.find(vvTried[n][i])};
+ if (it == mapInfo.end() || it->second.GetTriedBucket(nKey, m_asmap) != n) {
+ return -17;
+ }
+ if (it->second.GetBucketPosition(nKey, false, n) != i) {
+ return -18;
+ }
+ setTried.erase(vvTried[n][i]);
+ }
}
}
- if (!SanityCheckASMap(bits)) {
- LogPrintf("Sanity check of asmap file %s failed\n", path);
- return {};
+
+ for (int n = 0; n < ADDRMAN_NEW_BUCKET_COUNT; n++) {
+ for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
+ if (vvNew[n][i] != -1) {
+ if (!mapNew.count(vvNew[n][i]))
+ return -12;
+ const auto it{mapInfo.find(vvNew[n][i])};
+ if (it == mapInfo.end() || it->second.GetBucketPosition(nKey, true, n) != i) {
+ return -19;
+ }
+ if (--mapNew[vvNew[n][i]] == 0)
+ mapNew.erase(vvNew[n][i]);
+ }
+ }
}
- return bits;
+
+ if (setTried.size())
+ return -13;
+ if (mapNew.size())
+ return -15;
+ if (nKey.IsNull())
+ return -16;
+
+ return 0;
+}
+
+size_t AddrManImpl::size() const
+{
+ LOCK(cs); // TODO: Cache this in an atomic to avoid this overhead
+ return vRandom.size();
+}
+
+bool AddrManImpl::Add(const std::vector<CAddress>& vAddr, const CNetAddr& source, int64_t nTimePenalty)
+{
+ LOCK(cs);
+ Check();
+ auto ret = Add_(vAddr, source, nTimePenalty);
+ Check();
+ return ret;
+}
+
+bool AddrManImpl::Good(const CService& addr, int64_t nTime)
+{
+ LOCK(cs);
+ Check();
+ auto ret = Good_(addr, /*test_before_evict=*/true, nTime);
+ Check();
+ return ret;
+}
+
+void AddrManImpl::Attempt(const CService& addr, bool fCountFailure, int64_t nTime)
+{
+ LOCK(cs);
+ Check();
+ Attempt_(addr, fCountFailure, nTime);
+ Check();
+}
+
+void AddrManImpl::ResolveCollisions()
+{
+ LOCK(cs);
+ Check();
+ ResolveCollisions_();
+ Check();
+}
+
+std::pair<CAddress, int64_t> AddrManImpl::SelectTriedCollision()
+{
+ LOCK(cs);
+ Check();
+ const auto ret = SelectTriedCollision_();
+ Check();
+ return ret;
+}
+
+std::pair<CAddress, int64_t> AddrManImpl::Select(bool newOnly) const
+{
+ LOCK(cs);
+ Check();
+ const auto addrRet = Select_(newOnly);
+ Check();
+ return addrRet;
+}
+
+std::vector<CAddress> AddrManImpl::GetAddr(size_t max_addresses, size_t max_pct, std::optional<Network> network) const
+{
+ LOCK(cs);
+ Check();
+ const auto addresses = GetAddr_(max_addresses, max_pct, network);
+ Check();
+ return addresses;
+}
+
+void AddrManImpl::Connected(const CService& addr, int64_t nTime)
+{
+ LOCK(cs);
+ Check();
+ Connected_(addr, nTime);
+ Check();
+}
+
+void AddrManImpl::SetServices(const CService& addr, ServiceFlags nServices)
+{
+ LOCK(cs);
+ Check();
+ SetServices_(addr, nServices);
+ Check();
+}
+
+std::optional<AddressPosition> AddrManImpl::FindAddressEntry(const CAddress& addr)
+{
+ LOCK(cs);
+ Check();
+ auto entry = FindAddressEntry_(addr);
+ Check();
+ return entry;
+}
+
+const std::vector<bool>& AddrManImpl::GetAsmap() const
+{
+ return m_asmap;
+}
+
+AddrMan::AddrMan(std::vector<bool> asmap, bool deterministic, int32_t consistency_check_ratio)
+ : m_impl(std::make_unique<AddrManImpl>(std::move(asmap), deterministic, consistency_check_ratio)) {}
+
+AddrMan::~AddrMan() = default;
+
+template <typename Stream>
+void AddrMan::Serialize(Stream& s_) const
+{
+ m_impl->Serialize<Stream>(s_);
+}
+
+template <typename Stream>
+void AddrMan::Unserialize(Stream& s_)
+{
+ m_impl->Unserialize<Stream>(s_);
+}
+
+// explicit instantiation
+template void AddrMan::Serialize(CHashWriter& s) const;
+template void AddrMan::Serialize(CAutoFile& s) const;
+template void AddrMan::Serialize(CDataStream& s) const;
+template void AddrMan::Unserialize(CAutoFile& s);
+template void AddrMan::Unserialize(CHashVerifier<CAutoFile>& s);
+template void AddrMan::Unserialize(CDataStream& s);
+template void AddrMan::Unserialize(CHashVerifier<CDataStream>& s);
+
+size_t AddrMan::size() const
+{
+ return m_impl->size();
+}
+
+bool AddrMan::Add(const std::vector<CAddress>& vAddr, const CNetAddr& source, int64_t nTimePenalty)
+{
+ return m_impl->Add(vAddr, source, nTimePenalty);
+}
+
+bool AddrMan::Good(const CService& addr, int64_t nTime)
+{
+ return m_impl->Good(addr, nTime);
+}
+
+void AddrMan::Attempt(const CService& addr, bool fCountFailure, int64_t nTime)
+{
+ m_impl->Attempt(addr, fCountFailure, nTime);
+}
+
+void AddrMan::ResolveCollisions()
+{
+ m_impl->ResolveCollisions();
+}
+
+std::pair<CAddress, int64_t> AddrMan::SelectTriedCollision()
+{
+ return m_impl->SelectTriedCollision();
+}
+
+std::pair<CAddress, int64_t> AddrMan::Select(bool newOnly) const
+{
+ return m_impl->Select(newOnly);
+}
+
+std::vector<CAddress> AddrMan::GetAddr(size_t max_addresses, size_t max_pct, std::optional<Network> network) const
+{
+ return m_impl->GetAddr(max_addresses, max_pct, network);
+}
+
+void AddrMan::Connected(const CService& addr, int64_t nTime)
+{
+ m_impl->Connected(addr, nTime);
+}
+
+void AddrMan::SetServices(const CService& addr, ServiceFlags nServices)
+{
+ m_impl->SetServices(addr, nServices);
+}
+
+const std::vector<bool>& AddrMan::GetAsmap() const
+{
+ return m_impl->GetAsmap();
+}
+
+std::optional<AddressPosition> AddrMan::FindAddressEntry(const CAddress& addr)
+{
+ return m_impl->FindAddressEntry(addr);
}
diff --git a/src/addrman.h b/src/addrman.h
index 92a5570953..0646ef368d 100644
--- a/src/addrman.h
+++ b/src/addrman.h
@@ -1,99 +1,50 @@
// Copyright (c) 2012 Pieter Wuille
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_ADDRMAN_H
#define BITCOIN_ADDRMAN_H
-#include <clientversion.h>
-#include <config/bitcoin-config.h>
#include <netaddress.h>
#include <protocol.h>
-#include <random.h>
-#include <sync.h>
+#include <streams.h>
#include <timedata.h>
-#include <tinyformat.h>
-#include <util/system.h>
-#include <fs.h>
-#include <hash.h>
-#include <iostream>
-#include <map>
-#include <set>
-#include <stdint.h>
-#include <streams.h>
+#include <cstdint>
+#include <memory>
+#include <optional>
+#include <utility>
#include <vector>
-/**
- * Extended statistics about a CAddress
- */
-class CAddrInfo : public CAddress
-{
-public:
- //! last try whatsoever by us (memory only)
- int64_t nLastTry{0};
-
- //! last counted attempt (memory only)
- int64_t nLastCountAttempt{0};
-
-private:
- //! where knowledge about this address first came from
- CNetAddr source;
-
- //! last successful connection by us
- int64_t nLastSuccess{0};
-
- //! connection attempts since last successful attempt
- int nAttempts{0};
-
- //! reference count in new sets (memory only)
- int nRefCount{0};
+class AddrManImpl;
- //! in tried set? (memory only)
- bool fInTried{false};
+/** Default for -checkaddrman */
+static constexpr int32_t DEFAULT_ADDRMAN_CONSISTENCY_CHECKS{0};
- //! position in vRandom
- int nRandomPos{-1};
+/** Test-only struct, capturing info about an address in AddrMan */
+struct AddressPosition {
+ // Whether the address is in the new or tried table
+ const bool tried;
- friend class CAddrMan;
+ // Addresses in the tried table should always have a multiplicity of 1.
+ // Addresses in the new table can have multiplicity between 1 and
+ // ADDRMAN_NEW_BUCKETS_PER_ADDRESS
+ const int multiplicity;
-public:
-
- SERIALIZE_METHODS(CAddrInfo, obj)
- {
- READWRITEAS(CAddress, obj);
- READWRITE(obj.source, obj.nLastSuccess, obj.nAttempts);
- }
-
- CAddrInfo(const CAddress &addrIn, const CNetAddr &addrSource) : CAddress(addrIn), source(addrSource)
- {
- }
+ // If the address is in the new table, the bucket and position are
+ // populated based on the first source who sent the address.
+ // In certain edge cases, this may not be where the address is currently
+ // located.
+ const int bucket;
+ const int position;
- CAddrInfo() : CAddress(), source()
- {
+ bool operator==(AddressPosition other) {
+ return std::tie(tried, multiplicity, bucket, position) ==
+ std::tie(other.tried, other.multiplicity, other.bucket, other.position);
}
-
- //! Calculate in which "tried" bucket this entry belongs
- int GetTriedBucket(const uint256 &nKey, const std::vector<bool> &asmap) const;
-
- //! Calculate in which "new" bucket this entry belongs, given a certain source
- int GetNewBucket(const uint256 &nKey, const CNetAddr& src, const std::vector<bool> &asmap) const;
-
- //! Calculate in which "new" bucket this entry belongs, using its default source
- int GetNewBucket(const uint256 &nKey, const std::vector<bool> &asmap) const
- {
- return GetNewBucket(nKey, source, asmap);
- }
-
- //! Calculate in which position of a bucket to store this entry.
- int GetBucketPosition(const uint256 &nKey, bool fNew, int nBucket) const;
-
- //! Determine whether the statistics about this entry are bad enough so that it can just be deleted
- bool IsTerrible(int64_t nNow = GetAdjustedTime()) const;
-
- //! Calculate the relative chance this entry should be given when selecting nodes to connect to
- double GetChance(int64_t nNow = GetAdjustedTime()) const;
+ explicit AddressPosition(bool tried_in, int multiplicity_in, int bucket_in, int position_in)
+ : tried{tried_in}, multiplicity{multiplicity_in}, bucket{bucket_in}, position{position_in} {}
};
/** Stochastic address manager
@@ -103,183 +54,101 @@ public:
* * Make sure no (localized) attacker can fill the entire table with his nodes/addresses.
*
* To that end:
- * * Addresses are organized into buckets.
- * * Addresses that have not yet been tried go into 1024 "new" buckets.
- * * Based on the address range (/16 for IPv4) of the source of information, 64 buckets are selected at random.
+ * * Addresses are organized into buckets that can each store up to 64 entries.
+ * * Addresses to which our node has not successfully connected go into 1024 "new" buckets.
+ * * Based on the address range (/16 for IPv4) of the source of information, or if an asmap is provided,
+ * the AS it belongs to (for IPv4/IPv6), 64 buckets are selected at random.
* * The actual bucket is chosen from one of these, based on the range in which the address itself is located.
+ * * The position in the bucket is chosen based on the full address.
* * One single address can occur in up to 8 different buckets to increase selection chances for addresses that
* are seen frequently. The chance for increasing this multiplicity decreases exponentially.
- * * When adding a new address to a full bucket, a randomly chosen entry (with a bias favoring less recently seen
- * ones) is removed from it first.
+ * * When adding a new address to an occupied position of a bucket, it will not replace the existing entry
+ * unless that address is also stored in another bucket or it doesn't meet one of several quality criteria
+ * (see IsTerrible for exact criteria).
* * Addresses of nodes that are known to be accessible go into 256 "tried" buckets.
* * Each address range selects at random 8 of these buckets.
* * The actual bucket is chosen from one of these, based on the full address.
- * * When adding a new good address to a full bucket, a randomly chosen entry (with a bias favoring less recently
- * tried ones) is evicted from it, back to the "new" buckets.
+ * * When adding a new good address to an occupied position of a bucket, a FEELER connection to the
+ * old address is attempted. The old entry is only replaced and moved back to the "new" buckets if this
+ * attempt was unsuccessful.
* * Bucket selection is based on cryptographic hashing, using a randomly-generated 256-bit key, which should not
* be observable by adversaries.
- * * Several indexes are kept for high performance. Defining DEBUG_ADDRMAN will introduce frequent (and expensive)
- * consistency checks for the entire data structure.
+ * * Several indexes are kept for high performance. Setting m_consistency_check_ratio with the -checkaddrman
+ * configuration option will introduce (expensive) consistency checks for the entire data structure.
*/
-
-//! total number of buckets for tried addresses
-#define ADDRMAN_TRIED_BUCKET_COUNT_LOG2 8
-
-//! total number of buckets for new addresses
-#define ADDRMAN_NEW_BUCKET_COUNT_LOG2 10
-
-//! maximum allowed number of entries in buckets for new and tried addresses
-#define ADDRMAN_BUCKET_SIZE_LOG2 6
-
-//! over how many buckets entries with tried addresses from a single group (/16 for IPv4) are spread
-#define ADDRMAN_TRIED_BUCKETS_PER_GROUP 8
-
-//! over how many buckets entries with new addresses originating from a single group are spread
-#define ADDRMAN_NEW_BUCKETS_PER_SOURCE_GROUP 64
-
-//! in how many buckets for entries with new addresses a single address may occur
-#define ADDRMAN_NEW_BUCKETS_PER_ADDRESS 8
-
-//! how old addresses can maximally be
-#define ADDRMAN_HORIZON_DAYS 30
-
-//! after how many failed attempts we give up on a new node
-#define ADDRMAN_RETRIES 3
-
-//! how many successive failures are allowed ...
-#define ADDRMAN_MAX_FAILURES 10
-
-//! ... in at least this many days
-#define ADDRMAN_MIN_FAIL_DAYS 7
-
-//! how recent a successful connection should be before we allow an address to be evicted from tried
-#define ADDRMAN_REPLACEMENT_HOURS 4
-
-//! Convenience
-#define ADDRMAN_TRIED_BUCKET_COUNT (1 << ADDRMAN_TRIED_BUCKET_COUNT_LOG2)
-#define ADDRMAN_NEW_BUCKET_COUNT (1 << ADDRMAN_NEW_BUCKET_COUNT_LOG2)
-#define ADDRMAN_BUCKET_SIZE (1 << ADDRMAN_BUCKET_SIZE_LOG2)
-
-//! the maximum number of tried addr collisions to store
-#define ADDRMAN_SET_TRIED_COLLISION_SIZE 10
-
-//! the maximum time we'll spend trying to resolve a tried table collision, in seconds
-static const int64_t ADDRMAN_TEST_WINDOW = 40*60; // 40 minutes
-
-/**
- * Stochastical (IP) address manager
- */
-class CAddrMan
+class AddrMan
{
-friend class CAddrManTest;
protected:
- //! critical section to protect the inner data structures
- mutable RecursiveMutex cs;
-
-private:
- //! Serialization versions.
- enum Format : uint8_t {
- V0_HISTORICAL = 0, //!< historic format, before commit e6b343d88
- V1_DETERMINISTIC = 1, //!< for pre-asmap files
- V2_ASMAP = 2, //!< for files including asmap version
- V3_BIP155 = 3, //!< same as V2_ASMAP plus addresses are in BIP155 format
- };
+ const std::unique_ptr<AddrManImpl> m_impl;
- //! The maximum format this software knows it can unserialize. Also, we always serialize
- //! in this format.
- //! The format (first byte in the serialized stream) can be higher than this and
- //! still this software may be able to unserialize the file - if the second byte
- //! (see `lowest_compatible` in `Unserialize()`) is less or equal to this.
- static constexpr Format FILE_FORMAT = Format::V3_BIP155;
-
- //! The initial value of a field that is incremented every time an incompatible format
- //! change is made (such that old software versions would not be able to parse and
- //! understand the new file format). This is 32 because we overtook the "key size"
- //! field which was 32 historically.
- //! @note Don't increment this. Increment `lowest_compatible` in `Serialize()` instead.
- static constexpr uint8_t INCOMPATIBILITY_BASE = 32;
-
- //! last used nId
- int nIdCount GUARDED_BY(cs);
-
- //! table with information about all nIds
- std::map<int, CAddrInfo> mapInfo GUARDED_BY(cs);
-
- //! find an nId based on its network address
- std::map<CNetAddr, int> mapAddr GUARDED_BY(cs);
-
- //! randomly-ordered vector of all nIds
- std::vector<int> vRandom GUARDED_BY(cs);
-
- // number of "tried" entries
- int nTried GUARDED_BY(cs);
-
- //! list of "tried" buckets
- int vvTried[ADDRMAN_TRIED_BUCKET_COUNT][ADDRMAN_BUCKET_SIZE] GUARDED_BY(cs);
-
- //! number of (unique) "new" entries
- int nNew GUARDED_BY(cs);
-
- //! list of "new" buckets
- int vvNew[ADDRMAN_NEW_BUCKET_COUNT][ADDRMAN_BUCKET_SIZE] GUARDED_BY(cs);
-
- //! last time Good was called (memory only)
- int64_t nLastGood GUARDED_BY(cs);
-
- //! Holds addrs inserted into tried table that collide with existing entries. Test-before-evict discipline used to resolve these collisions.
- std::set<int> m_tried_collisions;
-
-protected:
- //! secret key to randomize bucket select with
- uint256 nKey;
-
- //! Source of random numbers for randomization in inner loops
- FastRandomContext insecure_rand;
-
- //! Find an entry.
- CAddrInfo* Find(const CNetAddr& addr, int *pnId = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs);
-
- //! find an entry, creating it if necessary.
- //! nTime and nServices of the found node are updated, if necessary.
- CAddrInfo* Create(const CAddress &addr, const CNetAddr &addrSource, int *pnId = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs);
-
- //! Swap two elements in vRandom.
- void SwapRandom(unsigned int nRandomPos1, unsigned int nRandomPos2) EXCLUSIVE_LOCKS_REQUIRED(cs);
+public:
+ explicit AddrMan(std::vector<bool> asmap, bool deterministic, int32_t consistency_check_ratio);
- //! Move an entry from the "new" table(s) to the "tried" table
- void MakeTried(CAddrInfo& info, int nId) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ ~AddrMan();
- //! Delete an entry. It must not be in tried, and have refcount 0.
- void Delete(int nId) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ template <typename Stream>
+ void Serialize(Stream& s_) const;
- //! Clear a position in a "new" table. This is the only place where entries are actually deleted.
- void ClearNew(int nUBucket, int nUBucketPos) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ template <typename Stream>
+ void Unserialize(Stream& s_);
- //! Mark an entry "good", possibly moving it from "new" to "tried".
- void Good_(const CService &addr, bool test_before_evict, int64_t time) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ //! Return the number of (unique) addresses in all tables.
+ size_t size() const;
- //! Add an entry to the "new" table.
- bool Add_(const CAddress &addr, const CNetAddr& source, int64_t nTimePenalty) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ /**
+ * Attempt to add one or more addresses to addrman's new table.
+ *
+ * @param[in] vAddr Address records to attempt to add.
+ * @param[in] source The address of the node that sent us these addr records.
+ * @param[in] nTimePenalty A "time penalty" to apply to the address record's nTime. If a peer
+ * sends us an address record with nTime=n, then we'll add it to our
+ * addrman with nTime=(n - nTimePenalty).
+ * @return true if at least one address is successfully added. */
+ bool Add(const std::vector<CAddress>& vAddr, const CNetAddr& source, int64_t nTimePenalty = 0);
- //! Mark an entry as attempted to connect.
- void Attempt_(const CService &addr, bool fCountFailure, int64_t nTime) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ /**
+ * Mark an address record as accessible and attempt to move it to addrman's tried table.
+ *
+ * @param[in] addr Address record to attempt to move to tried table.
+ * @param[in] nTime The time that we were last connected to this peer.
+ * @return true if the address is successfully moved from the new table to the tried table.
+ */
+ bool Good(const CService& addr, int64_t nTime = GetAdjustedTime());
- //! Select an address to connect to, if newOnly is set to true, only the new table is selected from.
- CAddrInfo Select_(bool newOnly) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ //! Mark an entry as connection attempted to.
+ void Attempt(const CService& addr, bool fCountFailure, int64_t nTime = GetAdjustedTime());
//! See if any to-be-evicted tried table entries have been tested and if so resolve the collisions.
- void ResolveCollisions_() EXCLUSIVE_LOCKS_REQUIRED(cs);
+ void ResolveCollisions();
- //! Return a random to-be-evicted tried table address.
- CAddrInfo SelectTriedCollision_() EXCLUSIVE_LOCKS_REQUIRED(cs);
+ /**
+ * Randomly select an address in the tried table that another address is
+ * attempting to evict.
+ *
+ * @return CAddress The record for the selected tried peer.
+ * int64_t The last time we attempted to connect to that peer.
+ */
+ std::pair<CAddress, int64_t> SelectTriedCollision();
-#ifdef DEBUG_ADDRMAN
- //! Perform consistency check. Returns an error code or zero.
- int Check_() EXCLUSIVE_LOCKS_REQUIRED(cs);
-#endif
+ /**
+ * Choose an address to connect to.
+ *
+ * @param[in] newOnly Whether to only select addresses from the new table.
+ * @return CAddress The record for the selected peer.
+ * int64_t The last time we attempted to connect to that peer.
+ */
+ std::pair<CAddress, int64_t> Select(bool newOnly = false) const;
- //! Select several addresses at once.
- void GetAddr_(std::vector<CAddress> &vAddr, size_t max_addresses, size_t max_pct) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ /**
+ * Return all or many randomly selected addresses, optionally by network.
+ *
+ * @param[in] max_addresses Maximum number of addresses to return (0 = all).
+ * @param[in] max_pct Maximum percentage of addresses to return (0 = all).
+ * @param[in] network Select only addresses of this network (nullopt = all).
+ *
+ * @return A vector of randomly selected addresses from vRandom.
+ */
+ std::vector<CAddress> GetAddr(size_t max_addresses, size_t max_pct, std::optional<Network> network) const;
/** We have successfully connected to this peer. Calling this function
* updates the CAddress's nTime, which is used in our IsTerrible()
@@ -292,459 +161,21 @@ protected:
* @param[in] addr The address of the peer we were connected to
* @param[in] nTime The time that we were last connected to this peer
*/
- void Connected_(const CService& addr, int64_t nTime) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ void Connected(const CService& addr, int64_t nTime = GetAdjustedTime());
//! Update an entry's service bits.
- void SetServices_(const CService &addr, ServiceFlags nServices) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ void SetServices(const CService& addr, ServiceFlags nServices);
-public:
- // Compressed IP->ASN mapping, loaded from a file when a node starts.
- // Should be always empty if no file was provided.
- // This mapping is then used for bucketing nodes in Addrman.
- //
- // If asmap is provided, nodes will be bucketed by
- // AS they belong to, in order to make impossible for a node
- // to connect to several nodes hosted in a single AS.
- // This is done in response to Erebus attack, but also to generally
- // diversify the connections every node creates,
- // especially useful when a large fraction of nodes
- // operate under a couple of cloud providers.
- //
- // If a new asmap was provided, the existing records
- // would be re-bucketed accordingly.
- std::vector<bool> m_asmap;
-
- // Read asmap from provided binary file
- static std::vector<bool> DecodeAsmap(fs::path path);
-
-
- /**
- * Serialized format.
- * * format version byte (@see `Format`)
- * * lowest compatible format version byte. This is used to help old software decide
- * whether to parse the file. For example:
- * * Bitcoin Core version N knows how to parse up to format=3. If a new format=4 is
- * introduced in version N+1 that is compatible with format=3 and it is known that
- * version N will be able to parse it, then version N+1 will write
- * (format=4, lowest_compatible=3) in the first two bytes of the file, and so
- * version N will still try to parse it.
- * * Bitcoin Core version N+2 introduces a new incompatible format=5. It will write
- * (format=5, lowest_compatible=5) and so any versions that do not know how to parse
- * format=5 will not try to read the file.
- * * nKey
- * * nNew
- * * nTried
- * * number of "new" buckets XOR 2**30
- * * all new addresses (total count: nNew)
- * * all tried addresses (total count: nTried)
- * * for each new bucket:
- * * number of elements
- * * for each element: index in the serialized "all new addresses"
- * * asmap checksum
- *
- * 2**30 is xorred with the number of buckets to make addrman deserializer v0 detect it
- * as incompatible. This is necessary because it did not check the version number on
- * deserialization.
- *
- * vvNew, vvTried, mapInfo, mapAddr and vRandom are never encoded explicitly;
- * they are instead reconstructed from the other information.
- *
- * This format is more complex, but significantly smaller (at most 1.5 MiB), and supports
- * changes to the ADDRMAN_ parameters without breaking the on-disk structure.
- *
- * We don't use SERIALIZE_METHODS since the serialization and deserialization code has
- * very little in common.
- */
- template <typename Stream>
- void Serialize(Stream& s_) const
- {
- LOCK(cs);
-
- // Always serialize in the latest version (FILE_FORMAT).
-
- OverrideStream<Stream> s(&s_, s_.GetType(), s_.GetVersion() | ADDRV2_FORMAT);
-
- s << static_cast<uint8_t>(FILE_FORMAT);
-
- // Increment `lowest_compatible` iff a newly introduced format is incompatible with
- // the previous one.
- static constexpr uint8_t lowest_compatible = Format::V3_BIP155;
- s << static_cast<uint8_t>(INCOMPATIBILITY_BASE + lowest_compatible);
-
- s << nKey;
- s << nNew;
- s << nTried;
-
- int nUBuckets = ADDRMAN_NEW_BUCKET_COUNT ^ (1 << 30);
- s << nUBuckets;
- std::map<int, int> mapUnkIds;
- int nIds = 0;
- for (const auto& entry : mapInfo) {
- mapUnkIds[entry.first] = nIds;
- const CAddrInfo &info = entry.second;
- if (info.nRefCount) {
- assert(nIds != nNew); // this means nNew was wrong, oh ow
- s << info;
- nIds++;
- }
- }
- nIds = 0;
- for (const auto& entry : mapInfo) {
- const CAddrInfo &info = entry.second;
- if (info.fInTried) {
- assert(nIds != nTried); // this means nTried was wrong, oh ow
- s << info;
- nIds++;
- }
- }
- for (int bucket = 0; bucket < ADDRMAN_NEW_BUCKET_COUNT; bucket++) {
- int nSize = 0;
- for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
- if (vvNew[bucket][i] != -1)
- nSize++;
- }
- s << nSize;
- for (int i = 0; i < ADDRMAN_BUCKET_SIZE; i++) {
- if (vvNew[bucket][i] != -1) {
- int nIndex = mapUnkIds[vvNew[bucket][i]];
- s << nIndex;
- }
- }
- }
- // Store asmap checksum after bucket entries so that it
- // can be ignored by older clients for backward compatibility.
- uint256 asmap_checksum;
- if (m_asmap.size() != 0) {
- asmap_checksum = SerializeHash(m_asmap);
- }
- s << asmap_checksum;
- }
-
- template <typename Stream>
- void Unserialize(Stream& s_)
- {
- LOCK(cs);
-
- Clear();
-
- Format format;
- s_ >> Using<CustomUintFormatter<1>>(format);
-
- int stream_version = s_.GetVersion();
- if (format >= Format::V3_BIP155) {
- // Add ADDRV2_FORMAT to the version so that the CNetAddr and CAddress
- // unserialize methods know that an address in addrv2 format is coming.
- stream_version |= ADDRV2_FORMAT;
- }
-
- OverrideStream<Stream> s(&s_, s_.GetType(), stream_version);
-
- uint8_t compat;
- s >> compat;
- const uint8_t lowest_compatible = compat - INCOMPATIBILITY_BASE;
- if (lowest_compatible > FILE_FORMAT) {
- throw std::ios_base::failure(strprintf(
- "Unsupported format of addrman database: %u. It is compatible with formats >=%u, "
- "but the maximum supported by this version of %s is %u.",
- format, lowest_compatible, PACKAGE_NAME, static_cast<uint8_t>(FILE_FORMAT)));
- }
-
- s >> nKey;
- s >> nNew;
- s >> nTried;
- int nUBuckets = 0;
- s >> nUBuckets;
- if (format >= Format::V1_DETERMINISTIC) {
- nUBuckets ^= (1 << 30);
- }
-
- if (nNew > ADDRMAN_NEW_BUCKET_COUNT * ADDRMAN_BUCKET_SIZE) {
- throw std::ios_base::failure("Corrupt CAddrMan serialization, nNew exceeds limit.");
- }
-
- if (nTried > ADDRMAN_TRIED_BUCKET_COUNT * ADDRMAN_BUCKET_SIZE) {
- throw std::ios_base::failure("Corrupt CAddrMan serialization, nTried exceeds limit.");
- }
-
- // Deserialize entries from the new table.
- for (int n = 0; n < nNew; n++) {
- CAddrInfo &info = mapInfo[n];
- s >> info;
- mapAddr[info] = n;
- info.nRandomPos = vRandom.size();
- vRandom.push_back(n);
- }
- nIdCount = nNew;
-
- // Deserialize entries from the tried table.
- int nLost = 0;
- for (int n = 0; n < nTried; n++) {
- CAddrInfo info;
- s >> info;
- int nKBucket = info.GetTriedBucket(nKey, m_asmap);
- int nKBucketPos = info.GetBucketPosition(nKey, false, nKBucket);
- if (vvTried[nKBucket][nKBucketPos] == -1) {
- info.nRandomPos = vRandom.size();
- info.fInTried = true;
- vRandom.push_back(nIdCount);
- mapInfo[nIdCount] = info;
- mapAddr[info] = nIdCount;
- vvTried[nKBucket][nKBucketPos] = nIdCount;
- nIdCount++;
- } else {
- nLost++;
- }
- }
- nTried -= nLost;
-
- // Store positions in the new table buckets to apply later (if possible).
- // An entry may appear in up to ADDRMAN_NEW_BUCKETS_PER_ADDRESS buckets,
- // so we store all bucket-entry_index pairs to iterate through later.
- std::vector<std::pair<int, int>> bucket_entries;
-
- for (int bucket = 0; bucket < nUBuckets; ++bucket) {
- int num_entries{0};
- s >> num_entries;
- for (int n = 0; n < num_entries; ++n) {
- int entry_index{0};
- s >> entry_index;
- if (entry_index >= 0 && entry_index < nNew) {
- bucket_entries.emplace_back(bucket, entry_index);
- }
- }
- }
-
- // If the bucket count and asmap checksum haven't changed, then attempt
- // to restore the entries to the buckets/positions they were in before
- // serialization.
- uint256 supplied_asmap_checksum;
- if (m_asmap.size() != 0) {
- supplied_asmap_checksum = SerializeHash(m_asmap);
- }
- uint256 serialized_asmap_checksum;
- if (format >= Format::V2_ASMAP) {
- s >> serialized_asmap_checksum;
- }
- const bool restore_bucketing{nUBuckets == ADDRMAN_NEW_BUCKET_COUNT &&
- serialized_asmap_checksum == supplied_asmap_checksum};
-
- if (!restore_bucketing) {
- LogPrint(BCLog::ADDRMAN, "Bucketing method was updated, re-bucketing addrman entries from disk\n");
- }
-
- for (auto bucket_entry : bucket_entries) {
- int bucket{bucket_entry.first};
- const int entry_index{bucket_entry.second};
- CAddrInfo& info = mapInfo[entry_index];
-
- // The entry shouldn't appear in more than
- // ADDRMAN_NEW_BUCKETS_PER_ADDRESS. If it has already, just skip
- // this bucket_entry.
- if (info.nRefCount >= ADDRMAN_NEW_BUCKETS_PER_ADDRESS) continue;
-
- int bucket_position = info.GetBucketPosition(nKey, true, bucket);
- if (restore_bucketing && vvNew[bucket][bucket_position] == -1) {
- // Bucketing has not changed, using existing bucket positions for the new table
- vvNew[bucket][bucket_position] = entry_index;
- ++info.nRefCount;
- } else {
- // In case the new table data cannot be used (bucket count wrong or new asmap),
- // try to give them a reference based on their primary source address.
- bucket = info.GetNewBucket(nKey, m_asmap);
- bucket_position = info.GetBucketPosition(nKey, true, bucket);
- if (vvNew[bucket][bucket_position] == -1) {
- vvNew[bucket][bucket_position] = entry_index;
- ++info.nRefCount;
- }
- }
- }
-
- // Prune new entries with refcount 0 (as a result of collisions).
- int nLostUnk = 0;
- for (std::map<int, CAddrInfo>::const_iterator it = mapInfo.begin(); it != mapInfo.end(); ) {
- if (it->second.fInTried == false && it->second.nRefCount == 0) {
- std::map<int, CAddrInfo>::const_iterator itCopy = it++;
- Delete(itCopy->first);
- nLostUnk++;
- } else {
- it++;
- }
- }
- if (nLost + nLostUnk > 0) {
- LogPrint(BCLog::ADDRMAN, "addrman lost %i new and %i tried addresses due to collisions\n", nLostUnk, nLost);
- }
+ const std::vector<bool>& GetAsmap() const;
- Check();
- }
-
- void Clear()
- {
- LOCK(cs);
- std::vector<int>().swap(vRandom);
- nKey = insecure_rand.rand256();
- for (size_t bucket = 0; bucket < ADDRMAN_NEW_BUCKET_COUNT; bucket++) {
- for (size_t entry = 0; entry < ADDRMAN_BUCKET_SIZE; entry++) {
- vvNew[bucket][entry] = -1;
- }
- }
- for (size_t bucket = 0; bucket < ADDRMAN_TRIED_BUCKET_COUNT; bucket++) {
- for (size_t entry = 0; entry < ADDRMAN_BUCKET_SIZE; entry++) {
- vvTried[bucket][entry] = -1;
- }
- }
-
- nIdCount = 0;
- nTried = 0;
- nNew = 0;
- nLastGood = 1; //Initially at 1 so that "never" is strictly worse.
- mapInfo.clear();
- mapAddr.clear();
- }
-
- CAddrMan()
- {
- Clear();
- }
-
- ~CAddrMan()
- {
- nKey.SetNull();
- }
-
- //! Return the number of (unique) addresses in all tables.
- size_t size() const
- {
- LOCK(cs); // TODO: Cache this in an atomic to avoid this overhead
- return vRandom.size();
- }
-
- //! Consistency check
- void Check()
- {
-#ifdef DEBUG_ADDRMAN
- {
- LOCK(cs);
- int err;
- if ((err=Check_()))
- LogPrintf("ADDRMAN CONSISTENCY CHECK FAILED!!! err=%i\n", err);
- }
-#endif
- }
-
- //! Add a single address.
- bool Add(const CAddress &addr, const CNetAddr& source, int64_t nTimePenalty = 0)
- {
- LOCK(cs);
- bool fRet = false;
- Check();
- fRet |= Add_(addr, source, nTimePenalty);
- Check();
- if (fRet) {
- LogPrint(BCLog::ADDRMAN, "Added %s from %s: %i tried, %i new\n", addr.ToStringIPPort(), source.ToString(), nTried, nNew);
- }
- return fRet;
- }
-
- //! Add multiple addresses.
- bool Add(const std::vector<CAddress> &vAddr, const CNetAddr& source, int64_t nTimePenalty = 0)
- {
- LOCK(cs);
- int nAdd = 0;
- Check();
- for (std::vector<CAddress>::const_iterator it = vAddr.begin(); it != vAddr.end(); it++)
- nAdd += Add_(*it, source, nTimePenalty) ? 1 : 0;
- Check();
- if (nAdd) {
- LogPrint(BCLog::ADDRMAN, "Added %i addresses from %s: %i tried, %i new\n", nAdd, source.ToString(), nTried, nNew);
- }
- return nAdd > 0;
- }
-
- //! Mark an entry as accessible.
- void Good(const CService &addr, bool test_before_evict = true, int64_t nTime = GetAdjustedTime())
- {
- LOCK(cs);
- Check();
- Good_(addr, test_before_evict, nTime);
- Check();
- }
-
- //! Mark an entry as connection attempted to.
- void Attempt(const CService &addr, bool fCountFailure, int64_t nTime = GetAdjustedTime())
- {
- LOCK(cs);
- Check();
- Attempt_(addr, fCountFailure, nTime);
- Check();
- }
-
- //! See if any to-be-evicted tried table entries have been tested and if so resolve the collisions.
- void ResolveCollisions()
- {
- LOCK(cs);
- Check();
- ResolveCollisions_();
- Check();
- }
-
- //! Randomly select an address in tried that another address is attempting to evict.
- CAddrInfo SelectTriedCollision()
- {
- CAddrInfo ret;
- {
- LOCK(cs);
- Check();
- ret = SelectTriedCollision_();
- Check();
- }
- return ret;
- }
-
- /**
- * Choose an address to connect to.
+ /** Test-only function
+ * Find the address record in AddrMan and return information about its
+ * position.
+ * @param[in] addr The address record to look up.
+ * @return Information about the address record in AddrMan
+ * or nullopt if address is not found.
*/
- CAddrInfo Select(bool newOnly = false)
- {
- CAddrInfo addrRet;
- {
- LOCK(cs);
- Check();
- addrRet = Select_(newOnly);
- Check();
- }
- return addrRet;
- }
-
- //! Return a bunch of addresses, selected at random.
- std::vector<CAddress> GetAddr(size_t max_addresses, size_t max_pct)
- {
- Check();
- std::vector<CAddress> vAddr;
- {
- LOCK(cs);
- GetAddr_(vAddr, max_addresses, max_pct);
- }
- Check();
- return vAddr;
- }
-
- //! Outer function for Connected_()
- void Connected(const CService &addr, int64_t nTime = GetAdjustedTime())
- {
- LOCK(cs);
- Check();
- Connected_(addr, nTime);
- Check();
- }
-
- void SetServices(const CService &addr, ServiceFlags nServices)
- {
- LOCK(cs);
- Check();
- SetServices_(addr, nServices);
- Check();
- }
-
+ std::optional<AddressPosition> FindAddressEntry(const CAddress& addr);
};
#endif // BITCOIN_ADDRMAN_H
diff --git a/src/addrman_impl.h b/src/addrman_impl.h
new file mode 100644
index 0000000000..5e76f72342
--- /dev/null
+++ b/src/addrman_impl.h
@@ -0,0 +1,282 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_ADDRMAN_IMPL_H
+#define BITCOIN_ADDRMAN_IMPL_H
+
+#include <logging.h>
+#include <logging/timer.h>
+#include <netaddress.h>
+#include <protocol.h>
+#include <serialize.h>
+#include <sync.h>
+#include <uint256.h>
+
+#include <cstdint>
+#include <optional>
+#include <set>
+#include <unordered_map>
+#include <unordered_set>
+#include <utility>
+#include <vector>
+
+/** Total number of buckets for tried addresses */
+static constexpr int32_t ADDRMAN_TRIED_BUCKET_COUNT_LOG2{8};
+static constexpr int ADDRMAN_TRIED_BUCKET_COUNT{1 << ADDRMAN_TRIED_BUCKET_COUNT_LOG2};
+/** Total number of buckets for new addresses */
+static constexpr int32_t ADDRMAN_NEW_BUCKET_COUNT_LOG2{10};
+static constexpr int ADDRMAN_NEW_BUCKET_COUNT{1 << ADDRMAN_NEW_BUCKET_COUNT_LOG2};
+/** Maximum allowed number of entries in buckets for new and tried addresses */
+static constexpr int32_t ADDRMAN_BUCKET_SIZE_LOG2{6};
+static constexpr int ADDRMAN_BUCKET_SIZE{1 << ADDRMAN_BUCKET_SIZE_LOG2};
+
+/**
+ * Extended statistics about a CAddress
+ */
+class AddrInfo : public CAddress
+{
+public:
+ //! last try whatsoever by us (memory only)
+ int64_t nLastTry{0};
+
+ //! last counted attempt (memory only)
+ int64_t nLastCountAttempt{0};
+
+ //! where knowledge about this address first came from
+ CNetAddr source;
+
+ //! last successful connection by us
+ int64_t nLastSuccess{0};
+
+ //! connection attempts since last successful attempt
+ int nAttempts{0};
+
+ //! reference count in new sets (memory only)
+ int nRefCount{0};
+
+ //! in tried set? (memory only)
+ bool fInTried{false};
+
+ //! position in vRandom
+ mutable int nRandomPos{-1};
+
+ SERIALIZE_METHODS(AddrInfo, obj)
+ {
+ READWRITEAS(CAddress, obj);
+ READWRITE(obj.source, obj.nLastSuccess, obj.nAttempts);
+ }
+
+ AddrInfo(const CAddress &addrIn, const CNetAddr &addrSource) : CAddress(addrIn), source(addrSource)
+ {
+ }
+
+ AddrInfo() : CAddress(), source()
+ {
+ }
+
+ //! Calculate in which "tried" bucket this entry belongs
+ int GetTriedBucket(const uint256 &nKey, const std::vector<bool> &asmap) const;
+
+ //! Calculate in which "new" bucket this entry belongs, given a certain source
+ int GetNewBucket(const uint256 &nKey, const CNetAddr& src, const std::vector<bool> &asmap) const;
+
+ //! Calculate in which "new" bucket this entry belongs, using its default source
+ int GetNewBucket(const uint256 &nKey, const std::vector<bool> &asmap) const
+ {
+ return GetNewBucket(nKey, source, asmap);
+ }
+
+ //! Calculate in which position of a bucket to store this entry.
+ int GetBucketPosition(const uint256 &nKey, bool fNew, int nBucket) const;
+
+ //! Determine whether the statistics about this entry are bad enough so that it can just be deleted
+ bool IsTerrible(int64_t nNow = GetAdjustedTime()) const;
+
+ //! Calculate the relative chance this entry should be given when selecting nodes to connect to
+ double GetChance(int64_t nNow = GetAdjustedTime()) const;
+};
+
+class AddrManImpl
+{
+public:
+ AddrManImpl(std::vector<bool>&& asmap, bool deterministic, int32_t consistency_check_ratio);
+
+ ~AddrManImpl();
+
+ template <typename Stream>
+ void Serialize(Stream& s_) const EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ template <typename Stream>
+ void Unserialize(Stream& s_) EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ size_t size() const EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ bool Add(const std::vector<CAddress>& vAddr, const CNetAddr& source, int64_t nTimePenalty)
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ bool Good(const CService& addr, int64_t nTime)
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ void Attempt(const CService& addr, bool fCountFailure, int64_t nTime)
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ void ResolveCollisions() EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ std::pair<CAddress, int64_t> SelectTriedCollision() EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ std::pair<CAddress, int64_t> Select(bool newOnly) const
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ std::vector<CAddress> GetAddr(size_t max_addresses, size_t max_pct, std::optional<Network> network) const
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ void Connected(const CService& addr, int64_t nTime)
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ void SetServices(const CService& addr, ServiceFlags nServices)
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ std::optional<AddressPosition> FindAddressEntry(const CAddress& addr)
+ EXCLUSIVE_LOCKS_REQUIRED(!cs);
+
+ const std::vector<bool>& GetAsmap() const;
+
+ friend class AddrManDeterministic;
+
+private:
+ //! A mutex to protect the inner data structures.
+ mutable Mutex cs;
+
+ //! Source of random numbers for randomization in inner loops
+ mutable FastRandomContext insecure_rand GUARDED_BY(cs);
+
+ //! secret key to randomize bucket select with
+ uint256 nKey;
+
+ //! Serialization versions.
+ enum Format : uint8_t {
+ V0_HISTORICAL = 0, //!< historic format, before commit e6b343d88
+ V1_DETERMINISTIC = 1, //!< for pre-asmap files
+ V2_ASMAP = 2, //!< for files including asmap version
+ V3_BIP155 = 3, //!< same as V2_ASMAP plus addresses are in BIP155 format
+ V4_MULTIPORT = 4, //!< adds support for multiple ports per IP
+ };
+
+ //! The maximum format this software knows it can unserialize. Also, we always serialize
+ //! in this format.
+ //! The format (first byte in the serialized stream) can be higher than this and
+ //! still this software may be able to unserialize the file - if the second byte
+ //! (see `lowest_compatible` in `Unserialize()`) is less or equal to this.
+ static constexpr Format FILE_FORMAT = Format::V4_MULTIPORT;
+
+ //! The initial value of a field that is incremented every time an incompatible format
+ //! change is made (such that old software versions would not be able to parse and
+ //! understand the new file format). This is 32 because we overtook the "key size"
+ //! field which was 32 historically.
+ //! @note Don't increment this. Increment `lowest_compatible` in `Serialize()` instead.
+ static constexpr uint8_t INCOMPATIBILITY_BASE = 32;
+
+ //! last used nId
+ int nIdCount GUARDED_BY(cs){0};
+
+ //! table with information about all nIds
+ std::unordered_map<int, AddrInfo> mapInfo GUARDED_BY(cs);
+
+ //! find an nId based on its network address and port.
+ std::unordered_map<CService, int, CServiceHash> mapAddr GUARDED_BY(cs);
+
+ //! randomly-ordered vector of all nIds
+ //! This is mutable because it is unobservable outside the class, so any
+ //! changes to it (even in const methods) are also unobservable.
+ mutable std::vector<int> vRandom GUARDED_BY(cs);
+
+ // number of "tried" entries
+ int nTried GUARDED_BY(cs){0};
+
+ //! list of "tried" buckets
+ int vvTried[ADDRMAN_TRIED_BUCKET_COUNT][ADDRMAN_BUCKET_SIZE] GUARDED_BY(cs);
+
+ //! number of (unique) "new" entries
+ int nNew GUARDED_BY(cs){0};
+
+ //! list of "new" buckets
+ int vvNew[ADDRMAN_NEW_BUCKET_COUNT][ADDRMAN_BUCKET_SIZE] GUARDED_BY(cs);
+
+ //! last time Good was called (memory only). Initially set to 1 so that "never" is strictly worse.
+ int64_t nLastGood GUARDED_BY(cs){1};
+
+ //! Holds addrs inserted into tried table that collide with existing entries. Test-before-evict discipline used to resolve these collisions.
+ std::set<int> m_tried_collisions;
+
+ /** Perform consistency checks every m_consistency_check_ratio operations (if non-zero). */
+ const int32_t m_consistency_check_ratio;
+
+ // Compressed IP->ASN mapping, loaded from a file when a node starts.
+ // Should be always empty if no file was provided.
+ // This mapping is then used for bucketing nodes in Addrman.
+ //
+ // If asmap is provided, nodes will be bucketed by
+ // AS they belong to, in order to make impossible for a node
+ // to connect to several nodes hosted in a single AS.
+ // This is done in response to Erebus attack, but also to generally
+ // diversify the connections every node creates,
+ // especially useful when a large fraction of nodes
+ // operate under a couple of cloud providers.
+ //
+ // If a new asmap was provided, the existing records
+ // would be re-bucketed accordingly.
+ const std::vector<bool> m_asmap;
+
+ //! Find an entry.
+ AddrInfo* Find(const CService& addr, int* pnId = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ //! Create a new entry and add it to the internal data structures mapInfo, mapAddr and vRandom.
+ AddrInfo* Create(const CAddress& addr, const CNetAddr& addrSource, int* pnId = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ //! Swap two elements in vRandom.
+ void SwapRandom(unsigned int nRandomPos1, unsigned int nRandomPos2) const EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ //! Delete an entry. It must not be in tried, and have refcount 0.
+ void Delete(int nId) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ //! Clear a position in a "new" table. This is the only place where entries are actually deleted.
+ void ClearNew(int nUBucket, int nUBucketPos) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ //! Move an entry from the "new" table(s) to the "tried" table
+ void MakeTried(AddrInfo& info, int nId) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ /** Attempt to add a single address to addrman's new table.
+ * @see AddrMan::Add() for parameters. */
+ bool AddSingle(const CAddress& addr, const CNetAddr& source, int64_t nTimePenalty) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ bool Good_(const CService& addr, bool test_before_evict, int64_t time) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ bool Add_(const std::vector<CAddress> &vAddr, const CNetAddr& source, int64_t nTimePenalty) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ void Attempt_(const CService& addr, bool fCountFailure, int64_t nTime) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ std::pair<CAddress, int64_t> Select_(bool newOnly) const EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ std::vector<CAddress> GetAddr_(size_t max_addresses, size_t max_pct, std::optional<Network> network) const EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ void Connected_(const CService& addr, int64_t nTime) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ void SetServices_(const CService& addr, ServiceFlags nServices) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ void ResolveCollisions_() EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ std::pair<CAddress, int64_t> SelectTriedCollision_() EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ std::optional<AddressPosition> FindAddressEntry_(const CAddress& addr) EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ //! Consistency check, taking into account m_consistency_check_ratio.
+ //! Will std::abort if an inconsistency is detected.
+ void Check() const EXCLUSIVE_LOCKS_REQUIRED(cs);
+
+ //! Perform consistency check, regardless of m_consistency_check_ratio.
+ //! @returns an error code or zero.
+ int CheckAddrman() const EXCLUSIVE_LOCKS_REQUIRED(cs);
+};
+
+#endif // BITCOIN_ADDRMAN_IMPL_H
diff --git a/src/arith_uint256.cpp b/src/arith_uint256.cpp
index 0bebb0cf54..f7f62dfc68 100644
--- a/src/arith_uint256.cpp
+++ b/src/arith_uint256.cpp
@@ -96,7 +96,7 @@ base_uint<BITS>& base_uint<BITS>::operator/=(const base_uint& b)
while (shift >= 0) {
if (num >= div) {
num -= div;
- pn[shift / 32] |= (1 << (shift & 31)); // set a bit of the result.
+ pn[shift / 32] |= (1U << (shift & 31)); // set a bit of the result.
}
div >>= 1; // shift back.
shift--;
@@ -236,7 +236,7 @@ uint32_t arith_uint256::GetCompact(bool fNegative) const
nCompact >>= 8;
nSize++;
}
- assert((nCompact & ~0x007fffff) == 0);
+ assert((nCompact & ~0x007fffffU) == 0);
assert(nSize < 256);
nCompact |= nSize << 24;
nCompact |= (fNegative && (nCompact & 0x007fffff) ? 0x00800000 : 0);
diff --git a/src/banman.cpp b/src/banman.cpp
index 3fe561ad01..b28e3f7f7c 100644
--- a/src/banman.cpp
+++ b/src/banman.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,6 +7,7 @@
#include <netaddress.h>
#include <node/ui_interface.h>
+#include <sync.h>
#include <util/system.h>
#include <util/time.h>
#include <util/translation.h>
@@ -15,23 +16,21 @@
BanMan::BanMan(fs::path ban_file, CClientUIInterface* client_interface, int64_t default_ban_time)
: m_client_interface(client_interface), m_ban_db(std::move(ban_file)), m_default_ban_time(default_ban_time)
{
- if (m_client_interface) m_client_interface->InitMessage(_("Loading banlist...").translated);
+ if (m_client_interface) m_client_interface->InitMessage(_("Loading banlist…").translated);
int64_t n_start = GetTimeMillis();
- m_is_dirty = false;
- banmap_t banmap;
- if (m_ban_db.Read(banmap)) {
- SetBanned(banmap); // thread save setter
- SetBannedSetDirty(false); // no need to write down, just read data
- SweepBanned(); // sweep out unused entries
+ if (m_ban_db.Read(m_banned)) {
+ SweepBanned(); // sweep out unused entries
- LogPrint(BCLog::NET, "Loaded %d banned node ips/subnets from banlist.dat %dms\n",
- m_banned.size(), GetTimeMillis() - n_start);
+ LogPrint(BCLog::NET, "Loaded %d banned node addresses/subnets %dms\n", m_banned.size(),
+ GetTimeMillis() - n_start);
} else {
- LogPrintf("Recreating banlist.dat\n");
- SetBannedSetDirty(true); // force write
- DumpBanlist();
+ LogPrintf("Recreating the banlist database\n");
+ m_banned = {};
+ m_is_dirty = true;
}
+
+ DumpBanlist();
}
BanMan::~BanMan()
@@ -41,20 +40,25 @@ BanMan::~BanMan()
void BanMan::DumpBanlist()
{
- SweepBanned(); // clean unused entries (if bantime has expired)
-
- if (!BannedSetIsDirty()) return;
-
- int64_t n_start = GetTimeMillis();
+ static Mutex dump_mutex;
+ LOCK(dump_mutex);
banmap_t banmap;
- GetBanned(banmap);
- if (m_ban_db.Write(banmap)) {
+ {
+ LOCK(m_cs_banned);
+ SweepBanned();
+ if (!BannedSetIsDirty()) return;
+ banmap = m_banned;
SetBannedSetDirty(false);
}
- LogPrint(BCLog::NET, "Flushed %d banned node ips/subnets to banlist.dat %dms\n",
- banmap.size(), GetTimeMillis() - n_start);
+ int64_t n_start = GetTimeMillis();
+ if (!m_ban_db.Write(banmap)) {
+ SetBannedSetDirty(true);
+ }
+
+ LogPrint(BCLog::NET, "Flushed %d banned node addresses/subnets to disk %dms\n", banmap.size(),
+ GetTimeMillis() - n_start);
}
void BanMan::ClearBanned()
@@ -167,13 +171,6 @@ void BanMan::GetBanned(banmap_t& banmap)
banmap = m_banned; //create a thread safe copy
}
-void BanMan::SetBanned(const banmap_t& banmap)
-{
- LOCK(m_cs_banned);
- m_banned = banmap;
- m_is_dirty = true;
-}
-
void BanMan::SweepBanned()
{
int64_t now = GetTime();
@@ -188,7 +185,7 @@ void BanMan::SweepBanned()
m_banned.erase(it++);
m_is_dirty = true;
notify_ui = true;
- LogPrint(BCLog::NET, "%s: Removed banned node ip/subnet from banlist.dat: %s\n", __func__, sub_net.ToString());
+ LogPrint(BCLog::NET, "Removed banned node address/subnet: %s\n", sub_net.ToString());
} else
++it;
}
diff --git a/src/banman.h b/src/banman.h
index f6bfbd1e49..f268fffa5a 100644
--- a/src/banman.h
+++ b/src/banman.h
@@ -1,12 +1,12 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_BANMAN_H
#define BITCOIN_BANMAN_H
#include <addrdb.h>
-#include <bloom.h>
+#include <common/bloom.h>
#include <fs.h>
#include <net_types.h> // For banmap_t
#include <sync.h>
@@ -17,7 +17,8 @@
// NOTE: When adjusting this, update rpcnet:setban's help ("24h")
static constexpr unsigned int DEFAULT_MISBEHAVING_BANTIME = 60 * 60 * 24; // Default 24-hour ban
-// How often to dump addresses to banlist.dat
+
+/// How often to dump banned addresses/subnets to disk.
static constexpr std::chrono::minutes DUMP_BANS_INTERVAL{15};
class CClientUIInterface;
@@ -30,7 +31,7 @@ class CSubNet;
// If an address or subnet is banned, we never accept incoming connections from
// it and never create outgoing connections to it. We won't gossip its address
// to other peers in addr messages. Banned addresses and subnets are stored to
-// banlist.dat on shutdown and reloaded on startup. Banning can be used to
+// disk on shutdown and reloaded on startup. Banning can be used to
// prevent connections with spy nodes or other griefers.
//
// 2. Discouragement. If a peer misbehaves enough (see Misbehaving() in
@@ -79,7 +80,6 @@ public:
void DumpBanlist();
private:
- void SetBanned(const banmap_t& banmap);
bool BannedSetIsDirty();
//!set the "dirty" flag for the banlist
void SetBannedSetDirty(bool dirty = true);
@@ -88,11 +88,11 @@ private:
RecursiveMutex m_cs_banned;
banmap_t m_banned GUARDED_BY(m_cs_banned);
- bool m_is_dirty GUARDED_BY(m_cs_banned);
+ bool m_is_dirty GUARDED_BY(m_cs_banned){false};
CClientUIInterface* m_client_interface = nullptr;
CBanDB m_ban_db;
const int64_t m_default_ban_time;
CRollingBloomFilter m_discouraged GUARDED_BY(m_cs_banned) {50000, 0.000001};
};
-#endif
+#endif // BITCOIN_BANMAN_H
diff --git a/src/base58.cpp b/src/base58.cpp
index fb04673c5c..dfa2e8db55 100644
--- a/src/base58.cpp
+++ b/src/base58.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2014-2020 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -149,7 +149,7 @@ std::string EncodeBase58Check(Span<const unsigned char> input)
return false;
}
// re-calculate the checksum, ensure it matches the included 4-byte checksum
- uint256 hash = Hash(MakeSpan(vchRet).first(vchRet.size() - 4));
+ uint256 hash = Hash(Span{vchRet}.first(vchRet.size() - 4));
if (memcmp(&hash, &vchRet[vchRet.size() - 4], 4) != 0) {
vchRet.clear();
return false;
diff --git a/src/bech32.cpp b/src/bech32.cpp
index 1e0471f110..3cda1dfff5 100644
--- a/src/bech32.cpp
+++ b/src/bech32.cpp
@@ -1,21 +1,28 @@
-// Copyright (c) 2017 Pieter Wuille
+// Copyright (c) 2017, 2021 Pieter Wuille
+// Copyright (c) 2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <bech32.h>
#include <util/vector.h>
+#include <array>
#include <assert.h>
+#include <numeric>
+#include <optional>
+
+namespace bech32
+{
namespace
{
typedef std::vector<uint8_t> data;
-/** The Bech32 character set for encoding. */
+/** The Bech32 and Bech32m character set for encoding. */
const char* CHARSET = "qpzry9x8gf2tvdw0s3jn54khce6mua7l";
-/** The Bech32 character set for decoding. */
+/** The Bech32 and Bech32m character set for decoding. */
const int8_t CHARSET_REV[128] = {
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
@@ -27,6 +34,96 @@ const int8_t CHARSET_REV[128] = {
1, 0, 3, 16, 11, 28, 12, 14, 6, 4, 2, -1, -1, -1, -1, -1
};
+/** We work with the finite field GF(1024) defined as a degree 2 extension of the base field GF(32)
+ * The defining polynomial of the extension is x^2 + 9x + 23.
+ * Let (e) be a root of this defining polynomial. Then (e) is a primitive element of GF(1024),
+ * that is, a generator of the field. Every non-zero element of the field can then be represented
+ * as (e)^k for some power k.
+ * The array GF1024_EXP contains all these powers of (e) - GF1024_EXP[k] = (e)^k in GF(1024).
+ * Conversely, GF1024_LOG contains the discrete logarithms of these powers, so
+ * GF1024_LOG[GF1024_EXP[k]] == k.
+ * The following function generates the two tables GF1024_EXP and GF1024_LOG as constexprs. */
+constexpr std::pair<std::array<int16_t, 1023>, std::array<int16_t, 1024>> GenerateGFTables()
+{
+ // Build table for GF(32).
+ // We use these tables to perform arithmetic in GF(32) below, when constructing the
+ // tables for GF(1024).
+ std::array<int8_t, 31> GF32_EXP{};
+ std::array<int8_t, 32> GF32_LOG{};
+
+ // fmod encodes the defining polynomial of GF(32) over GF(2), x^5 + x^3 + 1.
+ // Because coefficients in GF(2) are binary digits, the coefficients are packed as 101001.
+ const int fmod = 41;
+
+ // Elements of GF(32) are encoded as vectors of length 5 over GF(2), that is,
+ // 5 binary digits. Each element (b_4, b_3, b_2, b_1, b_0) encodes a polynomial
+ // b_4*x^4 + b_3*x^3 + b_2*x^2 + b_1*x^1 + b_0 (modulo fmod).
+ // For example, 00001 = 1 is the multiplicative identity.
+ GF32_EXP[0] = 1;
+ GF32_LOG[0] = -1;
+ GF32_LOG[1] = 0;
+ int v = 1;
+ for (int i = 1; i < 31; ++i) {
+ // Multiplication by x is the same as shifting left by 1, as
+ // every coefficient of the polynomial is moved up one place.
+ v = v << 1;
+ // If the polynomial now has an x^5 term, we subtract fmod from it
+ // to remain working modulo fmod. Subtraction is the same as XOR in characteristic
+ // 2 fields.
+ if (v & 32) v ^= fmod;
+ GF32_EXP[i] = v;
+ GF32_LOG[v] = i;
+ }
+
+ // Build table for GF(1024)
+ std::array<int16_t, 1023> GF1024_EXP{};
+ std::array<int16_t, 1024> GF1024_LOG{};
+
+ GF1024_EXP[0] = 1;
+ GF1024_LOG[0] = -1;
+ GF1024_LOG[1] = 0;
+
+ // Each element v of GF(1024) is encoded as a 10 bit integer in the following way:
+ // v = v1 || v0 where v0, v1 are 5-bit integers (elements of GF(32)).
+ // The element (e) is encoded as 1 || 0, to represent 1*(e) + 0. Every other element
+ // a*(e) + b is represented as a || b (a and b are both GF(32) elements). Given (v),
+ // we compute (e)*(v) by multiplying in the following way:
+ //
+ // v0' = 23*v1
+ // v1' = 9*v1 + v0
+ // e*v = v1' || v0'
+ //
+ // Where 23, 9 are GF(32) elements encoded as described above. Multiplication in GF(32)
+ // is done using the log/exp tables:
+ // e^x * e^y = e^(x + y) so a * b = EXP[ LOG[a] + LOG [b] ]
+ // for non-zero a and b.
+
+ v = 1;
+ for (int i = 1; i < 1023; ++i) {
+ int v0 = v & 31;
+ int v1 = v >> 5;
+
+ int v0n = v1 ? GF32_EXP.at((GF32_LOG.at(v1) + GF32_LOG.at(23)) % 31) : 0;
+ int v1n = (v1 ? GF32_EXP.at((GF32_LOG.at(v1) + GF32_LOG.at(9)) % 31) : 0) ^ v0;
+
+ v = v1n << 5 | v0n;
+ GF1024_EXP[i] = v;
+ GF1024_LOG[v] = i;
+ }
+
+ return std::make_pair(GF1024_EXP, GF1024_LOG);
+}
+
+constexpr auto tables = GenerateGFTables();
+constexpr const std::array<int16_t, 1023>& GF1024_EXP = tables.first;
+constexpr const std::array<int16_t, 1024>& GF1024_LOG = tables.second;
+
+/* Determine the final constant to use for the specified encoding. */
+uint32_t EncodingConstant(Encoding encoding) {
+ assert(encoding == Encoding::BECH32 || encoding == Encoding::BECH32M);
+ return encoding == Encoding::BECH32 ? 1 : 0x2bc830a3;
+}
+
/** This function will compute what 6 5-bit values to XOR into the last 6 input values, in order to
* make the checksum 0. These 6 values are packed together in a single 30-bit integer. The higher
* bits correspond to earlier values. */
@@ -57,6 +154,26 @@ uint32_t PolyMod(const data& v)
// the above example, `c` initially corresponds to 1 mod g(x), and after processing 2 inputs of
// v, it corresponds to x^2 + v0*x + v1 mod g(x). As 1 mod g(x) = 1, that is the starting value
// for `c`.
+
+ // The following Sage code constructs the generator used:
+ //
+ // B = GF(2) # Binary field
+ // BP.<b> = B[] # Polynomials over the binary field
+ // F_mod = b**5 + b**3 + 1
+ // F.<f> = GF(32, modulus=F_mod, repr='int') # GF(32) definition
+ // FP.<x> = F[] # Polynomials over GF(32)
+ // E_mod = x**2 + F.fetch_int(9)*x + F.fetch_int(23)
+ // E.<e> = F.extension(E_mod) # GF(1024) extension field definition
+ // for p in divisors(E.order() - 1): # Verify e has order 1023.
+ // assert((e**p == 1) == (p % 1023 == 0))
+ // G = lcm([(e**i).minpoly() for i in range(997,1000)])
+ // print(G) # Print out the generator
+ //
+ // It demonstrates that g(x) is the least common multiple of the minimal polynomials
+ // of 3 consecutive powers (997,998,999) of a primitive element (e) of GF(1024).
+ // That guarantees it is, in fact, the generator of a primitive BCH code with cycle
+ // length 1023 and distance 4. See https://en.wikipedia.org/wiki/BCH_code for more details.
+
uint32_t c = 1;
for (const auto v_i : v) {
// We want to update `c` to correspond to a polynomial with one extra term. If the initial
@@ -79,22 +196,117 @@ uint32_t PolyMod(const data& v)
// Then compute c1*x^5 + c2*x^4 + c3*x^3 + c4*x^2 + c5*x + v_i:
c = ((c & 0x1ffffff) << 5) ^ v_i;
- // Finally, for each set bit n in c0, conditionally add {2^n}k(x):
+ // Finally, for each set bit n in c0, conditionally add {2^n}k(x). These constants can be
+ // computed using the following Sage code (continuing the code above):
+ //
+ // for i in [1,2,4,8,16]: # Print out {1,2,4,8,16}*(g(x) mod x^6), packed in hex integers.
+ // v = 0
+ // for coef in reversed((F.fetch_int(i)*(G % x**6)).coefficients(sparse=True)):
+ // v = v*32 + coef.integer_representation()
+ // print("0x%x" % v)
+ //
if (c0 & 1) c ^= 0x3b6a57b2; // k(x) = {29}x^5 + {22}x^4 + {20}x^3 + {21}x^2 + {29}x + {18}
if (c0 & 2) c ^= 0x26508e6d; // {2}k(x) = {19}x^5 + {5}x^4 + x^3 + {3}x^2 + {19}x + {13}
if (c0 & 4) c ^= 0x1ea119fa; // {4}k(x) = {15}x^5 + {10}x^4 + {2}x^3 + {6}x^2 + {15}x + {26}
if (c0 & 8) c ^= 0x3d4233dd; // {8}k(x) = {30}x^5 + {20}x^4 + {4}x^3 + {12}x^2 + {30}x + {29}
if (c0 & 16) c ^= 0x2a1462b3; // {16}k(x) = {21}x^5 + x^4 + {8}x^3 + {24}x^2 + {21}x + {19}
+
}
return c;
}
+/** Syndrome computes the values s_j = R(e^j) for j in [997, 998, 999]. As described above, the
+ * generator polynomial G is the LCM of the minimal polynomials of (e)^997, (e)^998, and (e)^999.
+ *
+ * Consider a codeword with errors, of the form R(x) = C(x) + E(x). The residue is the bit-packed
+ * result of computing R(x) mod G(X), where G is the generator of the code. Because C(x) is a valid
+ * codeword, it is a multiple of G(X), so the residue is in fact just E(x) mod G(x). Note that all
+ * of the (e)^j are roots of G(x) by definition, so R((e)^j) = E((e)^j).
+ *
+ * Let R(x) = r1*x^5 + r2*x^4 + r3*x^3 + r4*x^2 + r5*x + r6
+ *
+ * To compute R((e)^j), we are really computing:
+ * r1*(e)^(j*5) + r2*(e)^(j*4) + r3*(e)^(j*3) + r4*(e)^(j*2) + r5*(e)^j + r6
+ *
+ * Now note that all of the (e)^(j*i) for i in [5..0] are constants and can be precomputed.
+ * But even more than that, we can consider each coefficient as a bit-string.
+ * For example, take r5 = (b_5, b_4, b_3, b_2, b_1) written out as 5 bits. Then:
+ * r5*(e)^j = b_1*(e)^j + b_2*(2*(e)^j) + b_3*(4*(e)^j) + b_4*(8*(e)^j) + b_5*(16*(e)^j)
+ * where all the (2^i*(e)^j) are constants and can be precomputed.
+ *
+ * Then we just add each of these corresponding constants to our final value based on the
+ * bit values b_i. This is exactly what is done in the Syndrome function below.
+ */
+constexpr std::array<uint32_t, 25> GenerateSyndromeConstants() {
+ std::array<uint32_t, 25> SYNDROME_CONSTS{};
+ for (int k = 1; k < 6; ++k) {
+ for (int shift = 0; shift < 5; ++shift) {
+ int16_t b = GF1024_LOG.at(1 << shift);
+ int16_t c0 = GF1024_EXP.at((997*k + b) % 1023);
+ int16_t c1 = GF1024_EXP.at((998*k + b) % 1023);
+ int16_t c2 = GF1024_EXP.at((999*k + b) % 1023);
+ uint32_t c = c2 << 20 | c1 << 10 | c0;
+ int ind = 5*(k-1) + shift;
+ SYNDROME_CONSTS[ind] = c;
+ }
+ }
+ return SYNDROME_CONSTS;
+}
+constexpr std::array<uint32_t, 25> SYNDROME_CONSTS = GenerateSyndromeConstants();
+
+/**
+ * Syndrome returns the three values s_997, s_998, and s_999 described above,
+ * packed into a 30-bit integer, where each group of 10 bits encodes one value.
+ */
+uint32_t Syndrome(const uint32_t residue) {
+ // low is the first 5 bits, corresponding to the r6 in the residue
+ // (the constant term of the polynomial).
+ uint32_t low = residue & 0x1f;
+
+ // We begin by setting s_j = low = r6 for all three values of j, because these are unconditional.
+ uint32_t result = low ^ (low << 10) ^ (low << 20);
+
+ // Then for each following bit, we add the corresponding precomputed constant if the bit is 1.
+ // For example, 0x31edd3c4 is 1100011110 1101110100 1111000100 when unpacked in groups of 10
+ // bits, corresponding exactly to a^999 || a^998 || a^997 (matching the corresponding values in
+ // GF1024_EXP above). In this way, we compute all three values of s_j for j in (997, 998, 999)
+ // simultaneously. Recall that XOR corresponds to addition in a characteristic 2 field.
+ for (int i = 0; i < 25; ++i) {
+ result ^= ((residue >> (5+i)) & 1 ? SYNDROME_CONSTS.at(i) : 0);
+ }
+ return result;
+}
+
/** Convert to lower case. */
inline unsigned char LowerCase(unsigned char c)
{
return (c >= 'A' && c <= 'Z') ? (c - 'A') + 'a' : c;
}
+/** Return indices of invalid characters in a Bech32 string. */
+bool CheckCharacters(const std::string& str, std::vector<int>& errors) {
+ bool lower = false, upper = false;
+ for (size_t i = 0; i < str.size(); ++i) {
+ unsigned char c = str[i];
+ if (c >= 'a' && c <= 'z') {
+ if (upper) {
+ errors.push_back(i);
+ } else {
+ lower = true;
+ }
+ } else if (c >= 'A' && c <= 'Z') {
+ if (lower) {
+ errors.push_back(i);
+ } else {
+ upper = true;
+ }
+ } else if (c < 33 || c > 126) {
+ errors.push_back(i);
+ }
+ }
+ return errors.empty();
+}
+
/** Expand a HRP for use in checksum computation. */
data ExpandHRP(const std::string& hrp)
{
@@ -111,21 +323,25 @@ data ExpandHRP(const std::string& hrp)
}
/** Verify a checksum. */
-bool VerifyChecksum(const std::string& hrp, const data& values)
+Encoding VerifyChecksum(const std::string& hrp, const data& values)
{
// PolyMod computes what value to xor into the final values to make the checksum 0. However,
// if we required that the checksum was 0, it would be the case that appending a 0 to a valid
// list of values would result in a new valid list. For that reason, Bech32 requires the
- // resulting checksum to be 1 instead.
- return PolyMod(Cat(ExpandHRP(hrp), values)) == 1;
+ // resulting checksum to be 1 instead. In Bech32m, this constant was amended. See
+ // https://gist.github.com/sipa/14c248c288c3880a3b191f978a34508e for details.
+ const uint32_t check = PolyMod(Cat(ExpandHRP(hrp), values));
+ if (check == EncodingConstant(Encoding::BECH32)) return Encoding::BECH32;
+ if (check == EncodingConstant(Encoding::BECH32M)) return Encoding::BECH32M;
+ return Encoding::INVALID;
}
/** Create a checksum. */
-data CreateChecksum(const std::string& hrp, const data& values)
+data CreateChecksum(Encoding encoding, const std::string& hrp, const data& values)
{
data enc = Cat(ExpandHRP(hrp), values);
enc.resize(enc.size() + 6); // Append 6 zeroes
- uint32_t mod = PolyMod(enc) ^ 1; // Determine what to XOR into those 6 zeroes.
+ uint32_t mod = PolyMod(enc) ^ EncodingConstant(encoding); // Determine what to XOR into those 6 zeroes.
data ret(6);
for (size_t i = 0; i < 6; ++i) {
// Convert the 5-bit groups in mod to checksum values.
@@ -136,16 +352,13 @@ data CreateChecksum(const std::string& hrp, const data& values)
} // namespace
-namespace bech32
-{
-
-/** Encode a Bech32 string. */
-std::string Encode(const std::string& hrp, const data& values) {
- // First ensure that the HRP is all lowercase. BIP-173 requires an encoder
- // to return a lowercase Bech32 string, but if given an uppercase HRP, the
+/** Encode a Bech32 or Bech32m string. */
+std::string Encode(Encoding encoding, const std::string& hrp, const data& values) {
+ // First ensure that the HRP is all lowercase. BIP-173 and BIP350 require an encoder
+ // to return a lowercase Bech32/Bech32m string, but if given an uppercase HRP, the
// result will always be invalid.
for (const char& c : hrp) assert(c < 'A' || c > 'Z');
- data checksum = CreateChecksum(hrp, values);
+ data checksum = CreateChecksum(encoding, hrp, values);
data combined = Cat(values, checksum);
std::string ret = hrp + '1';
ret.reserve(ret.size() + combined.size());
@@ -155,16 +368,10 @@ std::string Encode(const std::string& hrp, const data& values) {
return ret;
}
-/** Decode a Bech32 string. */
-std::pair<std::string, data> Decode(const std::string& str) {
- bool lower = false, upper = false;
- for (size_t i = 0; i < str.size(); ++i) {
- unsigned char c = str[i];
- if (c >= 'a' && c <= 'z') lower = true;
- else if (c >= 'A' && c <= 'Z') upper = true;
- else if (c < 33 || c > 126) return {};
- }
- if (lower && upper) return {};
+/** Decode a Bech32 or Bech32m string. */
+DecodeResult Decode(const std::string& str) {
+ std::vector<int> errors;
+ if (!CheckCharacters(str, errors)) return {};
size_t pos = str.rfind('1');
if (str.size() > 90 || pos == str.npos || pos == 0 || pos + 7 > str.size()) {
return {};
@@ -183,10 +390,179 @@ std::pair<std::string, data> Decode(const std::string& str) {
for (size_t i = 0; i < pos; ++i) {
hrp += LowerCase(str[i]);
}
- if (!VerifyChecksum(hrp, values)) {
- return {};
+ Encoding result = VerifyChecksum(hrp, values);
+ if (result == Encoding::INVALID) return {};
+ return {result, std::move(hrp), data(values.begin(), values.end() - 6)};
+}
+
+/** Find index of an incorrect character in a Bech32 string. */
+std::pair<std::string, std::vector<int>> LocateErrors(const std::string& str) {
+ std::vector<int> error_locations{};
+
+ if (str.size() > 90) {
+ error_locations.resize(str.size() - 90);
+ std::iota(error_locations.begin(), error_locations.end(), 90);
+ return std::make_pair("Bech32 string too long", std::move(error_locations));
+ }
+
+ if (!CheckCharacters(str, error_locations)){
+ return std::make_pair("Invalid character or mixed case", std::move(error_locations));
+ }
+
+ size_t pos = str.rfind('1');
+ if (pos == str.npos) {
+ return std::make_pair("Missing separator", std::vector<int>{});
+ }
+ if (pos == 0 || pos + 7 > str.size()) {
+ error_locations.push_back(pos);
+ return std::make_pair("Invalid separator position", std::move(error_locations));
+ }
+
+ std::string hrp;
+ for (size_t i = 0; i < pos; ++i) {
+ hrp += LowerCase(str[i]);
+ }
+
+ size_t length = str.size() - 1 - pos; // length of data part
+ data values(length);
+ for (size_t i = pos + 1; i < str.size(); ++i) {
+ unsigned char c = str[i];
+ int8_t rev = CHARSET_REV[c];
+ if (rev == -1) {
+ error_locations.push_back(i);
+ return std::make_pair("Invalid Base 32 character", std::move(error_locations));
+ }
+ values[i - pos - 1] = rev;
}
- return {hrp, data(values.begin(), values.end() - 6)};
+
+ // We attempt error detection with both bech32 and bech32m, and choose the one with the fewest errors
+ // We can't simply use the segwit version, because that may be one of the errors
+ std::optional<Encoding> error_encoding;
+ for (Encoding encoding : {Encoding::BECH32, Encoding::BECH32M}) {
+ std::vector<int> possible_errors;
+ // Recall that (ExpandHRP(hrp) ++ values) is interpreted as a list of coefficients of a polynomial
+ // over GF(32). PolyMod computes the "remainder" of this polynomial modulo the generator G(x).
+ uint32_t residue = PolyMod(Cat(ExpandHRP(hrp), values)) ^ EncodingConstant(encoding);
+
+ // All valid codewords should be multiples of G(x), so this remainder (after XORing with the encoding
+ // constant) should be 0 - hence 0 indicates there are no errors present.
+ if (residue != 0) {
+ // If errors are present, our polynomial must be of the form C(x) + E(x) where C is the valid
+ // codeword (a multiple of G(x)), and E encodes the errors.
+ uint32_t syn = Syndrome(residue);
+
+ // Unpack the three 10-bit syndrome values
+ int s0 = syn & 0x3FF;
+ int s1 = (syn >> 10) & 0x3FF;
+ int s2 = syn >> 20;
+
+ // Get the discrete logs of these values in GF1024 for more efficient computation
+ int l_s0 = GF1024_LOG.at(s0);
+ int l_s1 = GF1024_LOG.at(s1);
+ int l_s2 = GF1024_LOG.at(s2);
+
+ // First, suppose there is only a single error. Then E(x) = e1*x^p1 for some position p1
+ // Then s0 = E((e)^997) = e1*(e)^(997*p1) and s1 = E((e)^998) = e1*(e)^(998*p1)
+ // Therefore s1/s0 = (e)^p1, and by the same logic, s2/s1 = (e)^p1 too.
+ // Hence, s1^2 == s0*s2, which is exactly the condition we check first:
+ if (l_s0 != -1 && l_s1 != -1 && l_s2 != -1 && (2 * l_s1 - l_s2 - l_s0 + 2046) % 1023 == 0) {
+ // Compute the error position p1 as l_s1 - l_s0 = p1 (mod 1023)
+ size_t p1 = (l_s1 - l_s0 + 1023) % 1023; // the +1023 ensures it is positive
+ // Now because s0 = e1*(e)^(997*p1), we get e1 = s0/((e)^(997*p1)). Remember that (e)^1023 = 1,
+ // so 1/((e)^997) = (e)^(1023-997).
+ int l_e1 = l_s0 + (1023 - 997) * p1;
+ // Finally, some sanity checks on the result:
+ // - The error position should be within the length of the data
+ // - e1 should be in GF(32), which implies that e1 = (e)^(33k) for some k (the 31 non-zero elements
+ // of GF(32) form an index 33 subgroup of the 1023 non-zero elements of GF(1024)).
+ if (p1 < length && !(l_e1 % 33)) {
+ // Polynomials run from highest power to lowest, so the index p1 is from the right.
+ // We don't return e1 because it is dangerous to suggest corrections to the user,
+ // the user should check the address themselves.
+ possible_errors.push_back(str.size() - p1 - 1);
+ }
+ // Otherwise, suppose there are two errors. Then E(x) = e1*x^p1 + e2*x^p2.
+ } else {
+ // For all possible first error positions p1
+ for (size_t p1 = 0; p1 < length; ++p1) {
+ // We have guessed p1, and want to solve for p2. Recall that E(x) = e1*x^p1 + e2*x^p2, so
+ // s0 = E((e)^997) = e1*(e)^(997^p1) + e2*(e)^(997*p2), and similar for s1 and s2.
+ //
+ // Consider s2 + s1*(e)^p1
+ // = 2e1*(e)^(999^p1) + e2*(e)^(999*p2) + e2*(e)^(998*p2)*(e)^p1
+ // = e2*(e)^(999*p2) + e2*(e)^(998*p2)*(e)^p1
+ // (Because we are working in characteristic 2.)
+ // = e2*(e)^(998*p2) ((e)^p2 + (e)^p1)
+ //
+ int s2_s1p1 = s2 ^ (s1 == 0 ? 0 : GF1024_EXP.at((l_s1 + p1) % 1023));
+ if (s2_s1p1 == 0) continue;
+ int l_s2_s1p1 = GF1024_LOG.at(s2_s1p1);
+
+ // Similarly, s1 + s0*(e)^p1
+ // = e2*(e)^(997*p2) ((e)^p2 + (e)^p1)
+ int s1_s0p1 = s1 ^ (s0 == 0 ? 0 : GF1024_EXP.at((l_s0 + p1) % 1023));
+ if (s1_s0p1 == 0) continue;
+ int l_s1_s0p1 = GF1024_LOG.at(s1_s0p1);
+
+ // So, putting these together, we can compute the second error position as
+ // (e)^p2 = (s2 + s1^p1)/(s1 + s0^p1)
+ // p2 = log((e)^p2)
+ size_t p2 = (l_s2_s1p1 - l_s1_s0p1 + 1023) % 1023;
+
+ // Sanity checks that p2 is a valid position and not the same as p1
+ if (p2 >= length || p1 == p2) continue;
+
+ // Now we want to compute the error values e1 and e2.
+ // Similar to above, we compute s1 + s0*(e)^p2
+ // = e1*(e)^(997*p1) ((e)^p1 + (e)^p2)
+ int s1_s0p2 = s1 ^ (s0 == 0 ? 0 : GF1024_EXP.at((l_s0 + p2) % 1023));
+ if (s1_s0p2 == 0) continue;
+ int l_s1_s0p2 = GF1024_LOG.at(s1_s0p2);
+
+ // And compute (the log of) 1/((e)^p1 + (e)^p2))
+ int inv_p1_p2 = 1023 - GF1024_LOG.at(GF1024_EXP.at(p1) ^ GF1024_EXP.at(p2));
+
+ // Then (s1 + s0*(e)^p1) * (1/((e)^p1 + (e)^p2)))
+ // = e2*(e)^(997*p2)
+ // Then recover e2 by dividing by (e)^(997*p2)
+ int l_e2 = l_s1_s0p1 + inv_p1_p2 + (1023 - 997) * p2;
+ // Check that e2 is in GF(32)
+ if (l_e2 % 33) continue;
+
+ // In the same way, (s1 + s0*(e)^p2) * (1/((e)^p1 + (e)^p2)))
+ // = e1*(e)^(997*p1)
+ // So recover e1 by dividing by (e)^(997*p1)
+ int l_e1 = l_s1_s0p2 + inv_p1_p2 + (1023 - 997) * p1;
+ // Check that e1 is in GF(32)
+ if (l_e1 % 33) continue;
+
+ // Again, we do not return e1 or e2 for safety.
+ // Order the error positions from the left of the string and return them
+ if (p1 > p2) {
+ possible_errors.push_back(str.size() - p1 - 1);
+ possible_errors.push_back(str.size() - p2 - 1);
+ } else {
+ possible_errors.push_back(str.size() - p2 - 1);
+ possible_errors.push_back(str.size() - p1 - 1);
+ }
+ break;
+ }
+ }
+ } else {
+ // No errors
+ return std::make_pair("", std::vector<int>{});
+ }
+
+ if (error_locations.empty() || (!possible_errors.empty() && possible_errors.size() < error_locations.size())) {
+ error_locations = std::move(possible_errors);
+ if (!error_locations.empty()) error_encoding = encoding;
+ }
+ }
+ std::string error_message = error_encoding == Encoding::BECH32M ? "Invalid Bech32m checksum"
+ : error_encoding == Encoding::BECH32 ? "Invalid Bech32 checksum"
+ : "Invalid checksum";
+
+ return std::make_pair(error_message, std::move(error_locations));
}
} // namespace bech32
diff --git a/src/bech32.h b/src/bech32.h
index fb39cd352b..5e89e6efda 100644
--- a/src/bech32.h
+++ b/src/bech32.h
@@ -1,13 +1,15 @@
-// Copyright (c) 2017 Pieter Wuille
+// Copyright (c) 2017, 2021 Pieter Wuille
+// Copyright (c) 2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-// Bech32 is a string encoding format used in newer address types.
-// The output consists of a human-readable part (alphanumeric), a
-// separator character (1), and a base32 data section, the last
-// 6 characters of which are a checksum.
+// Bech32 and Bech32m are string encoding formats used in newer
+// address types. The outputs consist of a human-readable part
+// (alphanumeric), a separator character (1), and a base32 data
+// section, the last 6 characters of which are a checksum. The
+// module is namespaced under bech32 for historical reasons.
//
-// For more information, see BIP 173.
+// For more information, see BIP 173 and BIP 350.
#ifndef BITCOIN_BECH32_H
#define BITCOIN_BECH32_H
@@ -19,11 +21,32 @@
namespace bech32
{
-/** Encode a Bech32 string. If hrp contains uppercase characters, this will cause an assertion error. */
-std::string Encode(const std::string& hrp, const std::vector<uint8_t>& values);
+enum class Encoding {
+ INVALID, //!< Failed decoding
-/** Decode a Bech32 string. Returns (hrp, data). Empty hrp means failure. */
-std::pair<std::string, std::vector<uint8_t>> Decode(const std::string& str);
+ BECH32, //!< Bech32 encoding as defined in BIP173
+ BECH32M, //!< Bech32m encoding as defined in BIP350
+};
+
+/** Encode a Bech32 or Bech32m string. If hrp contains uppercase characters, this will cause an
+ * assertion error. Encoding must be one of BECH32 or BECH32M. */
+std::string Encode(Encoding encoding, const std::string& hrp, const std::vector<uint8_t>& values);
+
+struct DecodeResult
+{
+ Encoding encoding; //!< What encoding was detected in the result; Encoding::INVALID if failed.
+ std::string hrp; //!< The human readable part
+ std::vector<uint8_t> data; //!< The payload (excluding checksum)
+
+ DecodeResult() : encoding(Encoding::INVALID) {}
+ DecodeResult(Encoding enc, std::string&& h, std::vector<uint8_t>&& d) : encoding(enc), hrp(std::move(h)), data(std::move(d)) {}
+};
+
+/** Decode a Bech32 or Bech32m string. */
+DecodeResult Decode(const std::string& str);
+
+/** Return the positions of errors in a Bech32 string. */
+std::pair<std::string, std::vector<int>> LocateErrors(const std::string& str);
} // namespace bech32
diff --git a/src/bench/addrman.cpp b/src/bench/addrman.cpp
index ebdad5a4b8..3ca58b923e 100644
--- a/src/bench/addrman.cpp
+++ b/src/bench/addrman.cpp
@@ -1,12 +1,14 @@
-// Copyright (c) 2020-2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <addrman.h>
#include <bench/bench.h>
#include <random.h>
+#include <util/check.h>
#include <util/time.h>
+#include <optional>
#include <vector>
/* A "source" is a source address from which we have received a bunch of other addresses. */
@@ -14,6 +16,9 @@
static constexpr size_t NUM_SOURCES = 64;
static constexpr size_t NUM_ADDRESSES_PER_SOURCE = 256;
+static const std::vector<bool> EMPTY_ASMAP;
+static constexpr uint32_t ADDRMAN_CONSISTENCY_CHECK_RATIO{0};
+
static std::vector<CAddress> g_sources;
static std::vector<std::vector<CAddress>> g_addresses;
@@ -51,14 +56,14 @@ static void CreateAddresses()
}
}
-static void AddAddressesToAddrMan(CAddrMan& addrman)
+static void AddAddressesToAddrMan(AddrMan& addrman)
{
for (size_t source_i = 0; source_i < NUM_SOURCES; ++source_i) {
addrman.Add(g_addresses[source_i], g_sources[source_i]);
}
}
-static void FillAddrMan(CAddrMan& addrman)
+static void FillAddrMan(AddrMan& addrman)
{
CreateAddresses();
@@ -71,70 +76,63 @@ static void AddrManAdd(benchmark::Bench& bench)
{
CreateAddresses();
- CAddrMan addrman;
-
bench.run([&] {
+ AddrMan addrman{EMPTY_ASMAP, /*deterministic=*/false, ADDRMAN_CONSISTENCY_CHECK_RATIO};
AddAddressesToAddrMan(addrman);
- addrman.Clear();
});
}
static void AddrManSelect(benchmark::Bench& bench)
{
- CAddrMan addrman;
+ AddrMan addrman{EMPTY_ASMAP, /*deterministic=*/false, ADDRMAN_CONSISTENCY_CHECK_RATIO};
FillAddrMan(addrman);
bench.run([&] {
const auto& address = addrman.Select();
- assert(address.GetPort() > 0);
+ assert(address.first.GetPort() > 0);
});
}
static void AddrManGetAddr(benchmark::Bench& bench)
{
- CAddrMan addrman;
+ AddrMan addrman{EMPTY_ASMAP, /*deterministic=*/false, ADDRMAN_CONSISTENCY_CHECK_RATIO};
FillAddrMan(addrman);
bench.run([&] {
- const auto& addresses = addrman.GetAddr(2500, 23);
+ const auto& addresses = addrman.GetAddr(/* max_addresses */ 2500, /* max_pct */ 23, /* network */ std::nullopt);
assert(addresses.size() > 0);
});
}
-static void AddrManGood(benchmark::Bench& bench)
+static void AddrManAddThenGood(benchmark::Bench& bench)
{
- /* Create many CAddrMan objects - one to be modified at each loop iteration.
- * This is necessary because the CAddrMan::Good() method modifies the
- * object, affecting the timing of subsequent calls to the same method and
- * we want to do the same amount of work in every loop iteration. */
-
- bench.epochs(5).epochIterations(1);
-
- std::vector<CAddrMan> addrmans(bench.epochs() * bench.epochIterations());
- for (auto& addrman : addrmans) {
- FillAddrMan(addrman);
- }
-
- auto markSomeAsGood = [](CAddrMan& addrman) {
+ auto markSomeAsGood = [](AddrMan& addrman) {
for (size_t source_i = 0; source_i < NUM_SOURCES; ++source_i) {
for (size_t addr_i = 0; addr_i < NUM_ADDRESSES_PER_SOURCE; ++addr_i) {
- if (addr_i % 32 == 0) {
- addrman.Good(g_addresses[source_i][addr_i]);
- }
+ addrman.Good(g_addresses[source_i][addr_i]);
}
}
};
- uint64_t i = 0;
+ CreateAddresses();
+
bench.run([&] {
- markSomeAsGood(addrmans.at(i));
- ++i;
+ // To make the benchmark independent of the number of evaluations, we always prepare a new addrman.
+ // This is necessary because AddrMan::Good() method modifies the object, affecting the timing of subsequent calls
+ // to the same method and we want to do the same amount of work in every loop iteration.
+ //
+ // This has some overhead (exactly the result of AddrManAdd benchmark), but that overhead is constant so improvements in
+ // AddrMan::Good() will still be noticeable.
+ AddrMan addrman{EMPTY_ASMAP, /*deterministic=*/false, ADDRMAN_CONSISTENCY_CHECK_RATIO};
+ AddAddressesToAddrMan(addrman);
+
+ markSomeAsGood(addrman);
});
}
BENCHMARK(AddrManAdd);
BENCHMARK(AddrManSelect);
BENCHMARK(AddrManGetAddr);
-BENCHMARK(AddrManGood);
+BENCHMARK(AddrManAddThenGood);
diff --git a/src/bench/bech32.cpp b/src/bench/bech32.cpp
index c74d8d51b3..0f89a8e2b5 100644
--- a/src/bench/bech32.cpp
+++ b/src/bench/bech32.cpp
@@ -1,9 +1,8 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <bench/bench.h>
-#include <bench/nanobench.h>
#include <bech32.h>
#include <util/strencodings.h>
@@ -19,7 +18,7 @@ static void Bech32Encode(benchmark::Bench& bench)
tmp.reserve(1 + 32 * 8 / 5);
ConvertBits<8, 5, true>([&](unsigned char c) { tmp.push_back(c); }, v.begin(), v.end());
bench.batch(v.size()).unit("byte").run([&] {
- bech32::Encode("bc", tmp);
+ bech32::Encode(bech32::Encoding::BECH32, "bc", tmp);
});
}
diff --git a/src/bench/bench.cpp b/src/bench/bench.cpp
index 012057e792..033d319750 100644
--- a/src/bench/bench.cpp
+++ b/src/bench/bench.cpp
@@ -1,33 +1,42 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <bench/bench.h>
-#include <chainparams.h>
+#include <fs.h>
#include <test/util/setup_common.h>
-#include <validation.h>
+#include <chrono>
+#include <fstream>
+#include <functional>
+#include <iostream>
+#include <map>
#include <regex>
+#include <string>
+#include <vector>
+
+using namespace std::chrono_literals;
const std::function<void(const std::string&)> G_TEST_LOG_FUN{};
+const std::function<std::vector<const char*>()> G_TEST_COMMAND_LINE_ARGUMENTS{};
+
namespace {
-void GenerateTemplateResults(const std::vector<ankerl::nanobench::Result>& benchmarkResults, const std::string& filename, const char* tpl)
+void GenerateTemplateResults(const std::vector<ankerl::nanobench::Result>& benchmarkResults, const fs::path& file, const char* tpl)
{
- if (benchmarkResults.empty() || filename.empty()) {
+ if (benchmarkResults.empty() || file.empty()) {
// nothing to write, bail out
return;
}
- std::ofstream fout(filename);
+ std::ofstream fout{file};
if (fout.is_open()) {
ankerl::nanobench::render(tpl, benchmarkResults, fout);
+ std::cout << "Created " << file << std::endl;
} else {
- std::cout << "Could write to file '" << filename << "'" << std::endl;
+ std::cout << "Could not write to file " << file << std::endl;
}
-
- std::cout << "Created '" << filename << "'" << std::endl;
}
} // namespace
@@ -61,6 +70,12 @@ void benchmark::BenchRunner::RunAll(const Args& args)
Bench bench;
bench.name(p.first);
+ if (args.min_time > 0ms) {
+ // convert to nanos before dividing to reduce rounding errors
+ std::chrono::nanoseconds min_time_ns = args.min_time;
+ bench.minEpochTime(min_time_ns / bench.epochs());
+ }
+
if (args.asymptote.empty()) {
p.second(bench);
} else {
diff --git a/src/bench/bench.h b/src/bench/bench.h
index 22f06d8cb8..6634138beb 100644
--- a/src/bench/bench.h
+++ b/src/bench/bench.h
@@ -1,10 +1,11 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_BENCH_BENCH_H
#define BITCOIN_BENCH_BENCH_H
+#include <fs.h>
#include <util/macros.h>
#include <chrono>
@@ -18,16 +19,19 @@
/*
* Usage:
-static void CODE_TO_TIME(benchmark::Bench& bench)
+static void NameOfYourBenchmarkFunction(benchmark::Bench& bench)
{
- ... do any setup needed...
- nanobench::Config().run([&] {
- ... do stuff you want to time...
+ ...do any setup needed...
+
+ bench.run([&] {
+ ...do stuff you want to time; refer to src/bench/nanobench.h
+ for more information and the options that can be passed here...
});
- ... do any cleanup needed...
+
+ ...do any cleanup needed...
}
-BENCHMARK(CODE_TO_TIME);
+BENCHMARK(NameOfYourBenchmarkFunction);
*/
@@ -38,11 +42,12 @@ using ankerl::nanobench::Bench;
typedef std::function<void(Bench&)> BenchFunction;
struct Args {
- std::string regex_filter;
bool is_list_only;
+ std::chrono::milliseconds min_time;
std::vector<double> asymptote;
- std::string output_csv;
- std::string output_json;
+ fs::path output_csv;
+ fs::path output_json;
+ std::string regex_filter;
};
class BenchRunner
@@ -55,7 +60,8 @@ public:
static void RunAll(const Args& args);
};
-}
+} // namespace benchmark
+
// BENCHMARK(foo) expands to: benchmark::BenchRunner bench_11foo("foo", foo);
#define BENCHMARK(n) \
benchmark::BenchRunner PASTE2(bench_, PASTE2(__LINE__, n))(STRINGIZE(n), n);
diff --git a/src/bench/bench_bitcoin.cpp b/src/bench/bench_bitcoin.cpp
index 135659f87f..3f8bff4bcf 100644
--- a/src/bench/bench_bitcoin.cpp
+++ b/src/bench/bench_bitcoin.cpp
@@ -1,26 +1,34 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <bench/bench.h>
+#include <clientversion.h>
#include <crypto/sha256.h>
+#include <fs.h>
#include <util/strencodings.h>
#include <util/system.h>
-#include <memory>
+#include <chrono>
+#include <cstdint>
+#include <iostream>
+#include <sstream>
+#include <vector>
static const char* DEFAULT_BENCH_FILTER = ".*";
+static constexpr int64_t DEFAULT_MIN_TIME_MS{10};
static void SetupBenchArgs(ArgsManager& argsman)
{
SetupHelpOptions(argsman);
- argsman.AddArg("-list", "List benchmarks without executing them", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-asymptote=<n1,n2,n3,...>", "Test asymptotic growth of the runtime of an algorithm, if supported by the benchmark", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-filter=<regex>", strprintf("Regular expression filter to select benchmark by name (default: %s)", DEFAULT_BENCH_FILTER), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
- argsman.AddArg("-asymptote=n1,n2,n3,...", strprintf("Test asymptotic growth of the runtime of an algorithm, if supported by the benchmark"), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
- argsman.AddArg("-output_csv=<output.csv>", "Generate CSV file with the most important benchmark results.", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
- argsman.AddArg("-output_json=<output.json>", "Generate JSON file with all benchmark results.", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-list", "List benchmarks without executing them", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-min_time=<milliseconds>", strprintf("Minimum runtime per benchmark, in milliseconds (default: %d)", DEFAULT_MIN_TIME_MS), ArgsManager::ALLOW_ANY | ArgsManager::DISALLOW_NEGATION, OptionsCategory::OPTIONS);
+ argsman.AddArg("-output_csv=<output.csv>", "Generate CSV file with the most important benchmark results", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-output_json=<output.json>", "Generate JSON file with all benchmark results", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
}
// parses a comma separated list like "10,20,30,50"
@@ -48,17 +56,62 @@ int main(int argc, char** argv)
}
if (HelpRequested(argsman)) {
- std::cout << argsman.GetHelpMessage();
+ std::cout << "Usage: bench_bitcoin [options]\n"
+ "\n"
+ << argsman.GetHelpMessage()
+ << "Description:\n"
+ "\n"
+ " bench_bitcoin executes microbenchmarks. The quality of the benchmark results\n"
+ " highly depend on the stability of the machine. It can sometimes be difficult\n"
+ " to get stable, repeatable results, so here are a few tips:\n"
+ "\n"
+ " * Use pyperf [1] to disable frequency scaling, turbo boost etc. For best\n"
+ " results, use CPU pinning and CPU isolation (see [2]).\n"
+ "\n"
+ " * Each call of run() should do exactly the same work. E.g. inserting into\n"
+ " a std::vector doesn't do that as it will reallocate on certain calls. Make\n"
+ " sure each run has exactly the same preconditions.\n"
+ "\n"
+ " * If results are still not reliable, increase runtime with e.g.\n"
+ " -min_time=5000 to let a benchmark run for at least 5 seconds.\n"
+ "\n"
+ " * bench_bitcoin uses nanobench [3] for which there is extensive\n"
+ " documentation available online.\n"
+ "\n"
+ "Environment Variables:\n"
+ "\n"
+ " To attach a profiler you can run a benchmark in endless mode. This can be\n"
+ " done with the environment variable NANOBENCH_ENDLESS. E.g. like so:\n"
+ "\n"
+ " NANOBENCH_ENDLESS=MuHash ./bench_bitcoin -filter=MuHash\n"
+ "\n"
+ " In rare cases it can be useful to suppress stability warnings. This can be\n"
+ " done with the environment variable NANOBENCH_SUPPRESS_WARNINGS, e.g:\n"
+ "\n"
+ " NANOBENCH_SUPPRESS_WARNINGS=1 ./bench_bitcoin\n"
+ "\n"
+ "Notes:\n"
+ "\n"
+ " 1. pyperf\n"
+ " https://github.com/psf/pyperf\n"
+ "\n"
+ " 2. CPU pinning & isolation\n"
+ " https://pyperf.readthedocs.io/en/latest/system.html\n"
+ "\n"
+ " 3. nanobench\n"
+ " https://github.com/martinus/nanobench\n"
+ "\n";
return EXIT_SUCCESS;
}
benchmark::Args args;
- args.regex_filter = argsman.GetArg("-filter", DEFAULT_BENCH_FILTER);
- args.is_list_only = argsman.GetBoolArg("-list", false);
args.asymptote = parseAsymptote(argsman.GetArg("-asymptote", ""));
- args.output_csv = argsman.GetArg("-output_csv", "");
- args.output_json = argsman.GetArg("-output_json", "");
+ args.is_list_only = argsman.GetBoolArg("-list", false);
+ args.min_time = std::chrono::milliseconds(argsman.GetIntArg("-min_time", DEFAULT_MIN_TIME_MS));
+ args.output_csv = fs::PathFromString(argsman.GetArg("-output_csv", ""));
+ args.output_json = fs::PathFromString(argsman.GetArg("-output_json", ""));
+ args.regex_filter = argsman.GetArg("-filter", DEFAULT_BENCH_FILTER);
benchmark::BenchRunner::RunAll(args);
diff --git a/src/bench/block_assemble.cpp b/src/bench/block_assemble.cpp
index 67ab02a5b3..4ed5397330 100644
--- a/src/bench/block_assemble.cpp
+++ b/src/bench/block_assemble.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,6 +6,7 @@
#include <consensus/validation.h>
#include <crypto/sha256.h>
#include <test/util/mining.h>
+#include <test/util/script.h>
#include <test/util/setup_common.h>
#include <test/util/wallet.h>
#include <txmempool.h>
@@ -18,37 +19,31 @@ static void AssembleBlock(benchmark::Bench& bench)
{
const auto test_setup = MakeNoLogFileContext<const TestingSetup>();
- const std::vector<unsigned char> op_true{OP_TRUE};
CScriptWitness witness;
- witness.stack.push_back(op_true);
-
- uint256 witness_program;
- CSHA256().Write(&op_true[0], op_true.size()).Finalize(witness_program.begin());
-
- const CScript SCRIPT_PUB{CScript(OP_0) << std::vector<unsigned char>{witness_program.begin(), witness_program.end()}};
+ witness.stack.push_back(WITNESS_STACK_ELEM_OP_TRUE);
// Collect some loose transactions that spend the coinbases of our mined blocks
constexpr size_t NUM_BLOCKS{200};
std::array<CTransactionRef, NUM_BLOCKS - COINBASE_MATURITY + 1> txs;
for (size_t b{0}; b < NUM_BLOCKS; ++b) {
CMutableTransaction tx;
- tx.vin.push_back(MineBlock(test_setup->m_node, SCRIPT_PUB));
+ tx.vin.push_back(MineBlock(test_setup->m_node, P2WSH_OP_TRUE));
tx.vin.back().scriptWitness = witness;
- tx.vout.emplace_back(1337, SCRIPT_PUB);
+ tx.vout.emplace_back(1337, P2WSH_OP_TRUE);
if (NUM_BLOCKS - b >= COINBASE_MATURITY)
txs.at(b) = MakeTransactionRef(tx);
}
{
- LOCK(::cs_main); // Required for ::AcceptToMemoryPool.
+ LOCK(::cs_main);
for (const auto& txr : txs) {
- const MempoolAcceptResult res = ::AcceptToMemoryPool(::ChainstateActive(), *test_setup->m_node.mempool, txr, false /* bypass_limits */);
+ const MempoolAcceptResult res = test_setup->m_node.chainman->ProcessTransaction(txr);
assert(res.m_result_type == MempoolAcceptResult::ResultType::VALID);
}
}
bench.run([&] {
- PrepareBlock(test_setup->m_node, SCRIPT_PUB);
+ PrepareBlock(test_setup->m_node, P2WSH_OP_TRUE);
});
}
diff --git a/src/bench/ccoins_caching.cpp b/src/bench/ccoins_caching.cpp
index d5275b0b76..22dfb7aa5b 100644
--- a/src/bench/ccoins_caching.cpp
+++ b/src/bench/ccoins_caching.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -45,7 +45,7 @@ static void CCoinsCaching(benchmark::Bench& bench)
// Benchmark.
const CTransaction tx_1(t1);
bench.run([&] {
- bool success = AreInputsStandard(tx_1, coins, false);
+ bool success{AreInputsStandard(tx_1, coins)};
assert(success);
});
ECC_Stop();
diff --git a/src/bench/checkblock.cpp b/src/bench/checkblock.cpp
index a9f3f5f84d..52e5cb743f 100644
--- a/src/bench/checkblock.cpp
+++ b/src/bench/checkblock.cpp
@@ -17,8 +17,8 @@
static void DeserializeBlockTest(benchmark::Bench& bench)
{
CDataStream stream(benchmark::data::block413567, SER_NETWORK, PROTOCOL_VERSION);
- char a = '\0';
- stream.write(&a, 1); // Prevent compaction
+ std::byte a{0};
+ stream.write({&a, 1}); // Prevent compaction
bench.unit("block").run([&] {
CBlock block;
@@ -31,8 +31,8 @@ static void DeserializeBlockTest(benchmark::Bench& bench)
static void DeserializeAndCheckBlockTest(benchmark::Bench& bench)
{
CDataStream stream(benchmark::data::block413567, SER_NETWORK, PROTOCOL_VERSION);
- char a = '\0';
- stream.write(&a, 1); // Prevent compaction
+ std::byte a{0};
+ stream.write({&a, 1}); // Prevent compaction
ArgsManager bench_args;
const auto chainParams = CreateChainParams(bench_args, CBaseChainParams::MAIN);
diff --git a/src/bench/coin_selection.cpp b/src/bench/coin_selection.cpp
index 3abfbfd784..609c592d20 100644
--- a/src/bench/coin_selection.cpp
+++ b/src/bench/coin_selection.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,10 +6,24 @@
#include <interfaces/chain.h>
#include <node/context.h>
#include <wallet/coinselection.h>
+#include <wallet/spend.h>
#include <wallet/wallet.h>
#include <set>
+using node::NodeContext;
+using wallet::AttemptSelection;
+using wallet::CInputCoin;
+using wallet::COutput;
+using wallet::CWallet;
+using wallet::CWalletTx;
+using wallet::CoinEligibilityFilter;
+using wallet::CoinSelectionParams;
+using wallet::CreateDummyWalletDatabase;
+using wallet::OutputGroup;
+using wallet::SelectCoinsBnB;
+using wallet::TxStateInactive;
+
static void addCoin(const CAmount& nValue, const CWallet& wallet, std::vector<std::unique_ptr<CWalletTx>>& wtxs)
{
static int nextLockTime = 0;
@@ -17,7 +31,7 @@ static void addCoin(const CAmount& nValue, const CWallet& wallet, std::vector<st
tx.nLockTime = nextLockTime++; // so all transactions get different hashes
tx.vout.resize(1);
tx.vout[0].nValue = nValue;
- wtxs.push_back(MakeUnique<CWalletTx>(&wallet, MakeTransactionRef(std::move(tx))));
+ wtxs.push_back(std::make_unique<CWalletTx>(MakeTransactionRef(std::move(tx)), TxStateInactive{}));
}
// Simple benchmark for wallet coin selection. Note that it maybe be necessary
@@ -31,8 +45,7 @@ static void CoinSelection(benchmark::Bench& bench)
{
NodeContext node;
auto chain = interfaces::MakeChain(node);
- CWallet wallet(chain.get(), "", CreateDummyWalletDatabase());
- wallet.SetupLegacyScriptPubKeyMan();
+ CWallet wallet(chain.get(), "", gArgs, CreateDummyWalletDatabase());
std::vector<std::unique_ptr<CWalletTx>> wtxs;
LOCK(wallet.cs_wallet);
@@ -45,27 +58,23 @@ static void CoinSelection(benchmark::Bench& bench)
// Create coins
std::vector<COutput> coins;
for (const auto& wtx : wtxs) {
- coins.emplace_back(wtx.get(), 0 /* iIn */, 6 * 24 /* nDepthIn */, true /* spendable */, true /* solvable */, true /* safe */);
+ coins.emplace_back(wallet, *wtx, 0 /* iIn */, 6 * 24 /* nDepthIn */, true /* spendable */, true /* solvable */, true /* safe */);
}
const CoinEligibilityFilter filter_standard(1, 6, 0);
- const CoinSelectionParams coin_selection_params(true, 34, 148, CFeeRate(0), 0, false);
+ const CoinSelectionParams coin_selection_params(/* change_output_size= */ 34,
+ /* change_spend_size= */ 148, /* effective_feerate= */ CFeeRate(0),
+ /* long_term_feerate= */ CFeeRate(0), /* discard_feerate= */ CFeeRate(0),
+ /* tx_noinputs_size= */ 0, /* avoid_partial= */ false);
bench.run([&] {
- std::set<CInputCoin> setCoinsRet;
- CAmount nValueRet;
- bool bnb_used;
- bool success = wallet.SelectCoinsMinConf(1003 * COIN, filter_standard, coins, setCoinsRet, nValueRet, coin_selection_params, bnb_used);
- assert(success);
- assert(nValueRet == 1003 * COIN);
- assert(setCoinsRet.size() == 2);
+ auto result = AttemptSelection(wallet, 1003 * COIN, filter_standard, coins, coin_selection_params);
+ assert(result);
+ assert(result->GetSelectedValue() == 1003 * COIN);
+ assert(result->GetInputSet().size() == 2);
});
}
typedef std::set<CInputCoin> CoinSet;
-static NodeContext testNode;
-static auto testChain = interfaces::MakeChain(testNode);
-static CWallet testWallet(testChain.get(), "", CreateDummyWalletDatabase());
-std::vector<std::unique_ptr<CWalletTx>> wtxn;
// Copied from src/wallet/test/coinselector_tests.cpp
static void add_coin(const CAmount& nValue, int nInput, std::vector<OutputGroup>& set)
@@ -73,10 +82,9 @@ static void add_coin(const CAmount& nValue, int nInput, std::vector<OutputGroup>
CMutableTransaction tx;
tx.vout.resize(nInput + 1);
tx.vout[nInput].nValue = nValue;
- std::unique_ptr<CWalletTx> wtx = MakeUnique<CWalletTx>(&testWallet, MakeTransactionRef(std::move(tx)));
+ CInputCoin coin(MakeTransactionRef(tx), nInput);
set.emplace_back();
- set.back().Insert(COutput(wtx.get(), nInput, 0, true, true, true).GetInputCoin(), 0, true, 0, 0, false);
- wtxn.emplace_back(std::move(wtx));
+ set.back().Insert(coin, 0, true, 0, 0, false);
}
// Copied from src/wallet/test/coinselector_tests.cpp
static CAmount make_hard_case(int utxos, std::vector<OutputGroup>& utxo_pool)
@@ -94,20 +102,15 @@ static CAmount make_hard_case(int utxos, std::vector<OutputGroup>& utxo_pool)
static void BnBExhaustion(benchmark::Bench& bench)
{
// Setup
- testWallet.SetupLegacyScriptPubKeyMan();
std::vector<OutputGroup> utxo_pool;
- CoinSet selection;
- CAmount value_ret = 0;
- CAmount not_input_fees = 0;
bench.run([&] {
// Benchmark
CAmount target = make_hard_case(17, utxo_pool);
- SelectCoinsBnB(utxo_pool, target, 0, selection, value_ret, not_input_fees); // Should exhaust
+ SelectCoinsBnB(utxo_pool, target, 0); // Should exhaust
// Cleanup
utxo_pool.clear();
- selection.clear();
});
}
diff --git a/src/bench/crypto_hash.cpp b/src/bench/crypto_hash.cpp
index 30fe11be6b..d17ec503e7 100644
--- a/src/bench/crypto_hash.cpp
+++ b/src/bench/crypto_hash.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -110,9 +110,9 @@ static void MuHash(benchmark::Bench& bench)
{
MuHash3072 acc;
unsigned char key[32] = {0};
- int i = 0;
+ uint32_t i = 0;
bench.run([&] {
- key[0] = ++i;
+ key[0] = ++i & 0xFF;
acc *= MuHash3072(key);
});
}
@@ -134,10 +134,6 @@ static void MuHashDiv(benchmark::Bench& bench)
FastRandomContext rng(true);
MuHash3072 muhash{rng.randbytes(32)};
- for (size_t i = 0; i < bench.epochIterations(); ++i) {
- acc *= muhash;
- }
-
bench.run([&] {
acc /= muhash;
});
diff --git a/src/bench/data.cpp b/src/bench/data.cpp
index 481e372105..35558b3aa7 100644
--- a/src/bench/data.cpp
+++ b/src/bench/data.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/bench/duplicate_inputs.cpp b/src/bench/duplicate_inputs.cpp
index 25d1a2b56c..02a2e689b1 100644
--- a/src/bench/duplicate_inputs.cpp
+++ b/src/bench/duplicate_inputs.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -25,7 +25,7 @@ static void DuplicateInputs(benchmark::Bench& bench)
CMutableTransaction naughtyTx{};
LOCK(cs_main);
- CBlockIndex* pindexPrev = ::ChainActive().Tip();
+ CBlockIndex* pindexPrev = testing_setup->m_node.chainman->ActiveChain().Tip();
assert(pindexPrev != nullptr);
block.nBits = GetNextWorkRequired(pindexPrev, &block, chainparams.GetConsensus());
block.nNonce = 0;
diff --git a/src/bench/mempool_eviction.cpp b/src/bench/mempool_eviction.cpp
index 4f49fba7b7..e80b9e1ac2 100644
--- a/src/bench/mempool_eviction.cpp
+++ b/src/bench/mempool_eviction.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/bench/mempool_stress.cpp b/src/bench/mempool_stress.cpp
index f28768efc8..afa4618e1b 100644
--- a/src/bench/mempool_stress.cpp
+++ b/src/bench/mempool_stress.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,6 +6,7 @@
#include <policy/policy.h>
#include <test/util/setup_common.h>
#include <txmempool.h>
+#include <validation.h>
#include <vector>
@@ -26,14 +27,8 @@ struct Available {
Available(CTransactionRef& ref, size_t tx_count) : ref(ref), tx_count(tx_count){}
};
-static void ComplexMemPool(benchmark::Bench& bench)
+static std::vector<CTransactionRef> CreateOrderedCoins(FastRandomContext& det_rand, int childTxs, int min_ancestors)
{
- int childTxs = 800;
- if (bench.complexityN() > 1) {
- childTxs = static_cast<int>(bench.complexityN());
- }
-
- FastRandomContext det_rand{true};
std::vector<Available> available_coins;
std::vector<CTransactionRef> ordered_coins;
// Create some base transactions
@@ -58,8 +53,10 @@ static void ComplexMemPool(benchmark::Bench& bench)
size_t idx = det_rand.randrange(available_coins.size());
Available coin = available_coins[idx];
uint256 hash = coin.ref->GetHash();
- // biased towards taking just one ancestor, but maybe more
- size_t n_to_take = det_rand.randrange(2) == 0 ? 1 : 1+det_rand.randrange(coin.ref->vout.size() - coin.vin_left);
+ // biased towards taking min_ancestors parents, but maybe more
+ size_t n_to_take = det_rand.randrange(2) == 0 ?
+ min_ancestors :
+ min_ancestors + det_rand.randrange(coin.ref->vout.size() - coin.vin_left);
for (size_t i = 0; i < n_to_take; ++i) {
tx.vin.emplace_back();
tx.vin.back().prevout = COutPoint(hash, coin.vin_left++);
@@ -79,6 +76,17 @@ static void ComplexMemPool(benchmark::Bench& bench)
ordered_coins.emplace_back(MakeTransactionRef(tx));
available_coins.emplace_back(ordered_coins.back(), tx_counter++);
}
+ return ordered_coins;
+}
+
+static void ComplexMemPool(benchmark::Bench& bench)
+{
+ FastRandomContext det_rand{true};
+ int childTxs = 800;
+ if (bench.complexityN() > 1) {
+ childTxs = static_cast<int>(bench.complexityN());
+ }
+ std::vector<CTransactionRef> ordered_coins = CreateOrderedCoins(det_rand, childTxs, /* min_ancestors */ 1);
const auto testing_setup = MakeNoLogFileContext<const TestingSetup>(CBaseChainParams::MAIN);
CTxMemPool pool;
LOCK2(cs_main, pool.cs);
@@ -91,4 +99,21 @@ static void ComplexMemPool(benchmark::Bench& bench)
});
}
+static void MempoolCheck(benchmark::Bench& bench)
+{
+ FastRandomContext det_rand{true};
+ const int childTxs = bench.complexityN() > 1 ? static_cast<int>(bench.complexityN()) : 2000;
+ const std::vector<CTransactionRef> ordered_coins = CreateOrderedCoins(det_rand, childTxs, /* min_ancestors */ 5);
+ const auto testing_setup = MakeNoLogFileContext<const TestingSetup>(CBaseChainParams::MAIN, {"-checkmempool=1"});
+ CTxMemPool pool;
+ LOCK2(cs_main, pool.cs);
+ const CCoinsViewCache& coins_tip = testing_setup.get()->m_node.chainman->ActiveChainstate().CoinsTip();
+ for (auto& tx : ordered_coins) AddTx(tx, pool);
+
+ bench.run([&]() NO_THREAD_SAFETY_ANALYSIS {
+ pool.check(coins_tip, /* spendheight */ 2);
+ });
+}
+
BENCHMARK(ComplexMemPool);
+BENCHMARK(MempoolCheck);
diff --git a/src/bench/nanobench.h b/src/bench/nanobench.h
index c5379e7fd4..27df08fb69 100644
--- a/src/bench/nanobench.h
+++ b/src/bench/nanobench.h
@@ -7,7 +7,7 @@
//
// Licensed under the MIT License <http://opensource.org/licenses/MIT>.
// SPDX-License-Identifier: MIT
-// Copyright (c) 2019-2020 Martin Ankerl <martin.ankerl@gmail.com>
+// Copyright (c) 2019-2021 Martin Ankerl <martin.ankerl@gmail.com>
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
@@ -32,8 +32,8 @@
// see https://semver.org/
#define ANKERL_NANOBENCH_VERSION_MAJOR 4 // incompatible API changes
-#define ANKERL_NANOBENCH_VERSION_MINOR 0 // backwards-compatible changes
-#define ANKERL_NANOBENCH_VERSION_PATCH 0 // backwards-compatible bug fixes
+#define ANKERL_NANOBENCH_VERSION_MINOR 3 // backwards-compatible changes
+#define ANKERL_NANOBENCH_VERSION_PATCH 6 // backwards-compatible bug fixes
///////////////////////////////////////////////////////////////////////////////////////////////////
// public facing api - as minimal as possible
@@ -78,15 +78,25 @@
#if defined(ANKERL_NANOBENCH_LOG_ENABLED)
# include <iostream>
-# define ANKERL_NANOBENCH_LOG(x) std::cout << __FUNCTION__ << "@" << __LINE__ << ": " << x << std::endl
+# define ANKERL_NANOBENCH_LOG(x) \
+ do { \
+ std::cout << __FUNCTION__ << "@" << __LINE__ << ": " << x << std::endl; \
+ } while (0)
#else
-# define ANKERL_NANOBENCH_LOG(x)
+# define ANKERL_NANOBENCH_LOG(x) \
+ do { \
+ } while (0)
#endif
+#define ANKERL_NANOBENCH_PRIVATE_PERF_COUNTERS() 0
#if defined(__linux__) && !defined(ANKERL_NANOBENCH_DISABLE_PERF_COUNTERS)
-# define ANKERL_NANOBENCH_PRIVATE_PERF_COUNTERS() 1
-#else
-# define ANKERL_NANOBENCH_PRIVATE_PERF_COUNTERS() 0
+# include <linux/version.h>
+# if LINUX_VERSION_CODE >= KERNEL_VERSION(3, 14, 0)
+// PERF_COUNT_HW_REF_CPU_CYCLES only available since kernel 3.3
+// PERF_FLAG_FD_CLOEXEC since kernel 3.14
+# undef ANKERL_NANOBENCH_PRIVATE_PERF_COUNTERS
+# define ANKERL_NANOBENCH_PRIVATE_PERF_COUNTERS() 1
+# endif
#endif
#if defined(__clang__)
@@ -173,7 +183,7 @@ class BigO;
* `contextswitches`, `instructions`, `branchinstructions`, and `branchmisses`. All the measuers (except `iterations`) are
* provided for a single iteration (so `elapsed` is the time a single iteration took). The following tags are available:
*
- * * `{{median(<name>>)}}` Calculate median of a measurement data set, e.g. `{{median(elapsed)}}`.
+ * * `{{median(<name>)}}` Calculate median of a measurement data set, e.g. `{{median(elapsed)}}`.
*
* * `{{average(<name>)}}` Average (mean) calculation.
*
@@ -181,10 +191,11 @@ class BigO;
* metric for the variation of measurements. It is more robust to outliers than the
* [Mean absolute percentage error (M-APE)](https://en.wikipedia.org/wiki/Mean_absolute_percentage_error).
* @f[
- * \mathrm{medianAbsolutePercentError}(e) = \mathrm{median}\{| \frac{e_i - \mathrm{median}\{e\}}{e_i}| \}
+ * \mathrm{MdAPE}(e) = \mathrm{med}\{| \frac{e_i - \mathrm{med}\{e\}}{e_i}| \}
* @f]
- * E.g. for *elapsed*: First, @f$ \mathrm{median}\{elapsed\} @f$ is calculated. This is used to calculate the absolute percentage
- * error to this median for each measurement, as in @f$ | \frac{e_i - \mathrm{median}\{e\}}{e_i}| @f$. All these results
+ * E.g. for *elapsed*: First, @f$ \mathrm{med}\{e\} @f$ calculates the median by sorting and then taking the middle element
+ * of all *elapsed* measurements. This is used to calculate the absolute percentage
+ * error to this median for each measurement, as in @f$ | \frac{e_i - \mathrm{med}\{e\}}{e_i}| @f$. All these results
* are sorted, and the middle value is chosen as the median absolute percent error.
*
* This measurement is a bit hard to interpret, but it is very robust against outliers. E.g. a value of 5% means that half of the
@@ -207,7 +218,7 @@ class BigO;
*
* * `{{#measurement}}` To access individual measurement results, open the begin tag for measurements.
*
- * * `{{elapsed}}` Average elapsed time per iteration, in seconds.
+ * * `{{elapsed}}` Average elapsed wall clock time per iteration, in seconds.
*
* * `{{iterations}}` Number of iterations in the measurement. The number of iterations will fluctuate due
* to some applied randomness, to enhance accuracy.
@@ -261,6 +272,7 @@ class BigO;
* :cpp:func:`templates::csv() <ankerl::nanobench::templates::csv()>`
* :cpp:func:`templates::json() <ankerl::nanobench::templates::json()>`
* :cpp:func:`templates::htmlBoxplot() <ankerl::nanobench::templates::htmlBoxplot()>`
+ * :cpp:func:`templates::pyperf() <ankerl::nanobench::templates::pyperf()>`
@endverbatim
*
@@ -269,6 +281,7 @@ class BigO;
* @param out Output for the generated output.
*/
void render(char const* mustacheTemplate, Bench const& bench, std::ostream& out);
+void render(std::string const& mustacheTemplate, Bench const& bench, std::ostream& out);
/**
* Same as render(char const* mustacheTemplate, Bench const& bench, std::ostream& out), but for when
@@ -279,6 +292,7 @@ void render(char const* mustacheTemplate, Bench const& bench, std::ostream& out)
* @param out Output for the generated output.
*/
void render(char const* mustacheTemplate, std::vector<Result> const& results, std::ostream& out);
+void render(std::string const& mustacheTemplate, std::vector<Result> const& results, std::ostream& out);
// Contains mustache-like templates
namespace templates {
@@ -297,7 +311,7 @@ char const* csv() noexcept;
/*!
@brief HTML output that uses plotly to generate an interactive boxplot chart. See the tutorial for an example output.
- The output uses only the elapsed time, and displays each epoch as a single dot.
+ The output uses only the elapsed wall clock time, and displays each epoch as a single dot.
@verbatim embed:rst
See the tutorial at :ref:`tutorial-template-html` for an example.
@endverbatim
@@ -307,6 +321,14 @@ char const* csv() noexcept;
char const* htmlBoxplot() noexcept;
/*!
+ @brief Output in pyperf compatible JSON format, which can be used for more analyzations.
+ @verbatim embed:rst
+ See the tutorial at :ref:`tutorial-template-pyperf` for an example how to further analyze the output.
+ @endverbatim
+ */
+char const* pyperf() noexcept;
+
+/*!
@brief Template to generate JSON data.
The generated JSON data contains *all* data that has been generated. All times are as double values, in seconds. The output can get
@@ -369,6 +391,8 @@ struct Config {
uint64_t mEpochIterations{0}; // If not 0, run *exactly* these number of iterations per epoch.
uint64_t mWarmup = 0;
std::ostream* mOut = nullptr;
+ std::chrono::duration<double> mTimeUnit = std::chrono::nanoseconds{1};
+ std::string mTimeUnitName = "ns";
bool mShowPerformanceCounters = true;
bool mIsRelative = false;
@@ -504,6 +528,7 @@ public:
*/
explicit Rng(uint64_t seed) noexcept;
Rng(uint64_t x, uint64_t y) noexcept;
+ Rng(std::vector<uint64_t> const& data);
/**
* Creates a copy of the Rng, thus the copy provides exactly the same random sequence as the original.
@@ -558,6 +583,14 @@ public:
template <typename Container>
void shuffle(Container& container) noexcept;
+ /**
+ * Extracts the full state of the generator, e.g. for serialization. For this RNG this is just 2 values, but to stay API compatible
+ * with future implementations that potentially use more state, we use a vector.
+ *
+ * @return Vector containing the full state:
+ */
+ std::vector<uint64_t> state() const;
+
private:
static constexpr uint64_t rotl(uint64_t x, unsigned k) noexcept;
@@ -667,6 +700,19 @@ public:
ANKERL_NANOBENCH(NODISCARD) std::string const& unit() const noexcept;
/**
+ * @brief Sets the time unit to be used for the default output.
+ *
+ * Nanobench defaults to using ns (nanoseconds) as output in the markdown. For some benchmarks this is too coarse, so it is
+ * possible to configure this. E.g. use `timeUnit(1ms, "ms")` to show `ms/op` instead of `ns/op`.
+ *
+ * @param tu Time unit to display the results in, default is 1ns.
+ * @param tuName Name for the time unit, default is "ns"
+ */
+ Bench& timeUnit(std::chrono::duration<double> const& tu, std::string const& tuName);
+ ANKERL_NANOBENCH(NODISCARD) std::string const& timeUnitName() const noexcept;
+ ANKERL_NANOBENCH(NODISCARD) std::chrono::duration<double> const& timeUnit() const noexcept;
+
+ /**
* @brief Set the output stream where the resulting markdown table will be printed to.
*
* The default is `&std::cout`. You can disable all output by setting `nullptr`.
@@ -916,6 +962,7 @@ public:
@endverbatim
*/
Bench& render(char const* templateContent, std::ostream& os);
+ Bench& render(std::string const& templateContent, std::ostream& os);
Bench& config(Config const& benchmarkConfig);
ANKERL_NANOBENCH(NODISCARD) Config const& config() const noexcept;
@@ -945,23 +992,24 @@ void doNotOptimizeAway(T const& val);
#else
-// see folly's Benchmark.h
-template <typename T>
-constexpr bool doNotOptimizeNeedsIndirect() {
- using Decayed = typename std::decay<T>::type;
- return !ANKERL_NANOBENCH_IS_TRIVIALLY_COPYABLE(Decayed) || sizeof(Decayed) > sizeof(long) || std::is_pointer<Decayed>::value;
-}
-
+// These assembly magic is directly from what Google Benchmark is doing. I have previously used what facebook's folly was doing, but
+// this seemd to have compilation problems in some cases. Google Benchmark seemed to be the most well tested anyways.
+// see https://github.com/google/benchmark/blob/master/include/benchmark/benchmark.h#L307
template <typename T>
-typename std::enable_if<!doNotOptimizeNeedsIndirect<T>()>::type doNotOptimizeAway(T const& val) {
+void doNotOptimizeAway(T const& val) {
// NOLINTNEXTLINE(hicpp-no-assembler)
- asm volatile("" ::"r"(val));
+ asm volatile("" : : "r,m"(val) : "memory");
}
template <typename T>
-typename std::enable_if<doNotOptimizeNeedsIndirect<T>()>::type doNotOptimizeAway(T const& val) {
+void doNotOptimizeAway(T& val) {
+# if defined(__clang__)
// NOLINTNEXTLINE(hicpp-no-assembler)
- asm volatile("" ::"m"(val) : "memory");
+ asm volatile("" : "+r,m"(val) : : "memory");
+# else
+ // NOLINTNEXTLINE(hicpp-no-assembler)
+ asm volatile("" : "+m,r"(val) : : "memory");
+# endif
}
#endif
@@ -1067,7 +1115,7 @@ constexpr uint64_t(Rng::max)() {
return (std::numeric_limits<uint64_t>::max)();
}
-ANKERL_NANOBENCH_NO_SANITIZE("integer")
+ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
uint64_t Rng::operator()() noexcept {
auto x = mX;
@@ -1077,7 +1125,7 @@ uint64_t Rng::operator()() noexcept {
return x;
}
-ANKERL_NANOBENCH_NO_SANITIZE("integer")
+ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
uint32_t Rng::bounded(uint32_t range) noexcept {
uint64_t r32 = static_cast<uint32_t>(operator()());
auto multiresult = r32 * range;
@@ -1103,6 +1151,7 @@ void Rng::shuffle(Container& container) noexcept {
}
}
+ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
constexpr uint64_t Rng::rotl(uint64_t x, unsigned k) noexcept {
return (x << k) | (x >> (64U - k));
}
@@ -1306,6 +1355,30 @@ char const* htmlBoxplot() noexcept {
</html>)DELIM";
}
+char const* pyperf() noexcept {
+ return R"DELIM({
+ "benchmarks": [
+ {
+ "runs": [
+ {
+ "values": [
+{{#measurement}} {{elapsed}}{{^-last}},
+{{/last}}{{/measurement}}
+ ]
+ }
+ ]
+ }
+ ],
+ "metadata": {
+ "loops": {{sum(iterations)}},
+ "inner_loops": {{batch}},
+ "name": "{{title}}",
+ "unit": "second"
+ },
+ "version": "1.0"
+})DELIM";
+}
+
char const* json() noexcept {
return R"DELIM({
"results": [
@@ -1410,6 +1483,7 @@ static std::vector<Node> parseMustacheTemplate(char const** tpl) {
}
static bool generateFirstLast(Node const& n, size_t idx, size_t size, std::ostream& out) {
+ ANKERL_NANOBENCH_LOG("n.type=" << static_cast<int>(n.type));
bool matchFirst = n == "-first";
bool matchLast = n == "-last";
if (!matchFirst && !matchLast) {
@@ -1632,6 +1706,7 @@ namespace detail {
char const* getEnv(char const* name);
bool isEndlessRunning(std::string const& name);
+bool isWarningsEnabled();
template <typename T>
T parseFile(std::string const& filename);
@@ -1770,25 +1845,49 @@ void render(char const* mustacheTemplate, std::vector<Result> const& results, st
for (size_t i = 0; i < nbResults; ++i) {
generateResult(n.children, i, results, out);
}
+ } else if (n == "measurement") {
+ if (results.size() != 1) {
+ throw std::runtime_error(
+ "render: can only use section 'measurement' here if there is a single result, but there are " +
+ detail::fmt::to_s(results.size()));
+ }
+ // when we only have a single result, we can immediately go into its measurement.
+ auto const& r = results.front();
+ for (size_t i = 0; i < r.size(); ++i) {
+ generateResultMeasurement(n.children, i, r, out);
+ }
} else {
- throw std::runtime_error("unknown section '" + std::string(n.begin, n.end) + "'");
+ throw std::runtime_error("render: unknown section '" + std::string(n.begin, n.end) + "'");
}
break;
case templates::Node::Type::tag:
- // This just uses the last result's config.
- if (!generateConfigTag(n, results.back().config(), out)) {
- throw std::runtime_error("unknown tag '" + std::string(n.begin, n.end) + "'");
+ if (results.size() == 1) {
+ // result & config are both supported there
+ generateResultTag(n, results.front(), out);
+ } else {
+ // This just uses the last result's config.
+ if (!generateConfigTag(n, results.back().config(), out)) {
+ throw std::runtime_error("unknown tag '" + std::string(n.begin, n.end) + "'");
+ }
}
break;
}
}
}
+void render(std::string const& mustacheTemplate, std::vector<Result> const& results, std::ostream& out) {
+ render(mustacheTemplate.c_str(), results, out);
+}
+
void render(char const* mustacheTemplate, const Bench& bench, std::ostream& out) {
render(mustacheTemplate, bench.results(), out);
}
+void render(std::string const& mustacheTemplate, const Bench& bench, std::ostream& out) {
+ render(mustacheTemplate.c_str(), bench.results(), out);
+}
+
namespace detail {
PerformanceCounters& performanceCounters() {
@@ -1837,6 +1936,12 @@ bool isEndlessRunning(std::string const& name) {
return nullptr != endless && endless == name;
}
+// True when environment variable NANOBENCH_SUPPRESS_WARNINGS is either not set at all, or set to "0"
+bool isWarningsEnabled() {
+ auto suppression = getEnv("NANOBENCH_SUPPRESS_WARNINGS");
+ return nullptr == suppression || suppression == std::string("0");
+}
+
void gatherStabilityInformation(std::vector<std::string>& warnings, std::vector<std::string>& recommendations) {
warnings.clear();
recommendations.clear();
@@ -1889,13 +1994,13 @@ void gatherStabilityInformation(std::vector<std::string>& warnings, std::vector<
recommendations.emplace_back("Make sure you compile for Release");
}
if (recommendPyPerf) {
- recommendations.emplace_back("Use 'pyperf system tune' before benchmarking. See https://github.com/vstinner/pyperf");
+ recommendations.emplace_back("Use 'pyperf system tune' before benchmarking. See https://github.com/psf/pyperf");
}
}
void printStabilityInformationOnce(std::ostream* outStream) {
static bool shouldPrint = true;
- if (shouldPrint && outStream) {
+ if (shouldPrint && outStream && isWarningsEnabled()) {
auto& os = *outStream;
shouldPrint = false;
std::vector<std::string> warnings;
@@ -1923,16 +2028,7 @@ uint64_t& singletonHeaderHash() noexcept {
return sHeaderHash;
}
-ANKERL_NANOBENCH_NO_SANITIZE("integer")
-inline uint64_t fnv1a(std::string const& str) noexcept {
- auto val = UINT64_C(14695981039346656037);
- for (auto c : str) {
- val = (val ^ static_cast<uint8_t>(c)) * UINT64_C(1099511628211);
- }
- return val;
-}
-
-ANKERL_NANOBENCH_NO_SANITIZE("integer")
+ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
inline uint64_t hash_combine(uint64_t seed, uint64_t val) {
return seed ^ (val + UINT64_C(0x9e3779b9) + (seed << 6U) + (seed >> 2U));
}
@@ -2010,7 +2106,7 @@ struct IterationLogic::Impl {
return static_cast<uint64_t>(doubleNewIters + 0.5);
}
- ANKERL_NANOBENCH_NO_SANITIZE("integer") void upscale(std::chrono::nanoseconds elapsed) {
+ ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined") void upscale(std::chrono::nanoseconds elapsed) {
if (elapsed * 10 < mTargetRuntimePerEpoch) {
// we are far below the target runtime. Multiply iterations by 10 (with overflow check)
if (mNumIters * 10 < mNumIters) {
@@ -2108,27 +2204,28 @@ struct IterationLogic::Impl {
columns.emplace_back(14, 0, "complexityN", "", mBench.complexityN());
}
- columns.emplace_back(22, 2, "ns/" + mBench.unit(), "", 1e9 * rMedian / mBench.batch());
+ columns.emplace_back(22, 2, mBench.timeUnitName() + "/" + mBench.unit(), "",
+ rMedian / (mBench.timeUnit().count() * mBench.batch()));
columns.emplace_back(22, 2, mBench.unit() + "/s", "", rMedian <= 0.0 ? 0.0 : mBench.batch() / rMedian);
double rErrorMedian = mResult.medianAbsolutePercentError(Result::Measure::elapsed);
columns.emplace_back(10, 1, "err%", "%", rErrorMedian * 100.0);
double rInsMedian = -1.0;
- if (mResult.has(Result::Measure::instructions)) {
+ if (mBench.performanceCounters() && mResult.has(Result::Measure::instructions)) {
rInsMedian = mResult.median(Result::Measure::instructions);
columns.emplace_back(18, 2, "ins/" + mBench.unit(), "", rInsMedian / mBench.batch());
}
double rCycMedian = -1.0;
- if (mResult.has(Result::Measure::cpucycles)) {
+ if (mBench.performanceCounters() && mResult.has(Result::Measure::cpucycles)) {
rCycMedian = mResult.median(Result::Measure::cpucycles);
columns.emplace_back(18, 2, "cyc/" + mBench.unit(), "", rCycMedian / mBench.batch());
}
if (rInsMedian > 0.0 && rCycMedian > 0.0) {
columns.emplace_back(9, 3, "IPC", "", rCycMedian <= 0.0 ? 0.0 : rInsMedian / rCycMedian);
}
- if (mResult.has(Result::Measure::branchinstructions)) {
+ if (mBench.performanceCounters() && mResult.has(Result::Measure::branchinstructions)) {
double rBraMedian = mResult.median(Result::Measure::branchinstructions);
columns.emplace_back(17, 2, "bra/" + mBench.unit(), "", rBraMedian / mBench.batch());
if (mResult.has(Result::Measure::branchmisses)) {
@@ -2140,16 +2237,19 @@ struct IterationLogic::Impl {
}
}
- columns.emplace_back(12, 2, "total", "", mResult.sum(Result::Measure::elapsed));
+ columns.emplace_back(12, 2, "total", "", mResult.sumProduct(Result::Measure::iterations, Result::Measure::elapsed));
// write everything
auto& os = *mBench.output();
+ // combine all elements that are relevant for printing the header
uint64_t hash = 0;
- hash = hash_combine(fnv1a(mBench.unit()), hash);
- hash = hash_combine(fnv1a(mBench.title()), hash);
- hash = hash_combine(mBench.relative(), hash);
- hash = hash_combine(mBench.performanceCounters(), hash);
+ hash = hash_combine(std::hash<std::string>{}(mBench.unit()), hash);
+ hash = hash_combine(std::hash<std::string>{}(mBench.title()), hash);
+ hash = hash_combine(std::hash<std::string>{}(mBench.timeUnitName()), hash);
+ hash = hash_combine(std::hash<double>{}(mBench.timeUnit().count()), hash);
+ hash = hash_combine(std::hash<bool>{}(mBench.relative()), hash);
+ hash = hash_combine(std::hash<bool>{}(mBench.performanceCounters()), hash);
if (hash != singletonHeaderHash()) {
singletonHeaderHash() = hash;
@@ -2177,7 +2277,7 @@ struct IterationLogic::Impl {
os << col.value();
}
os << "| ";
- auto showUnstable = rErrorMedian >= 0.05;
+ auto showUnstable = isWarningsEnabled() && rErrorMedian >= 0.05;
if (showUnstable) {
os << ":wavy_dash: ";
}
@@ -2304,8 +2404,16 @@ public:
return (a + divisor / 2) / divisor;
}
+ ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
+ static inline uint32_t mix(uint32_t x) noexcept {
+ x ^= x << 13;
+ x ^= x >> 17;
+ x ^= x << 5;
+ return x;
+ }
+
template <typename Op>
- ANKERL_NANOBENCH_NO_SANITIZE("integer")
+ ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
void calibrate(Op&& op) {
// clear current calibration data,
for (auto& v : mCalibratedOverhead) {
@@ -2343,15 +2451,10 @@ public:
uint64_t const numIters = 100000U + (std::random_device{}() & 3);
uint64_t n = numIters;
uint32_t x = 1234567;
- auto fn = [&]() {
- x ^= x << 13;
- x ^= x >> 17;
- x ^= x << 5;
- };
beginMeasure();
while (n-- > 0) {
- fn();
+ x = mix(x);
}
endMeasure();
detail::doNotOptimizeAway(x);
@@ -2361,8 +2464,8 @@ public:
beginMeasure();
while (n-- > 0) {
// we now run *twice* so we can easily calculate the overhead
- fn();
- fn();
+ x = mix(x);
+ x = mix(x);
}
endMeasure();
detail::doNotOptimizeAway(x);
@@ -2411,7 +2514,7 @@ bool LinuxPerformanceCounters::monitor(perf_hw_id hwId, LinuxPerformanceCounters
}
// overflow is ok, it's checked
-ANKERL_NANOBENCH_NO_SANITIZE("integer")
+ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
void LinuxPerformanceCounters::updateResults(uint64_t numIters) {
// clear old data
for (auto& id_value : mIdToTarget) {
@@ -2963,6 +3066,20 @@ std::string const& Bench::unit() const noexcept {
return mConfig.mUnit;
}
+Bench& Bench::timeUnit(std::chrono::duration<double> const& tu, std::string const& tuName) {
+ mConfig.mTimeUnit = tu;
+ mConfig.mTimeUnitName = tuName;
+ return *this;
+}
+
+std::string const& Bench::timeUnitName() const noexcept {
+ return mConfig.mTimeUnitName;
+}
+
+std::chrono::duration<double> const& Bench::timeUnit() const noexcept {
+ return mConfig.mTimeUnit;
+}
+
// If benchmarkTitle differs from currently set title, the stored results will be cleared.
Bench& Bench::title(const char* benchmarkTitle) {
if (benchmarkTitle != mConfig.mBenchmarkTitle) {
@@ -3083,6 +3200,11 @@ Bench& Bench::render(char const* templateContent, std::ostream& os) {
return *this;
}
+Bench& Bench::render(std::string const& templateContent, std::ostream& os) {
+ ::ankerl::nanobench::render(templateContent, *this, os);
+ return *this;
+}
+
std::vector<BigO> Bench::complexityBigO() const {
std::vector<BigO> bigOs;
auto rangeMeasure = BigO::collectRangeMeasure(mResults);
@@ -3119,7 +3241,7 @@ Rng::Rng()
} while (mX == 0 && mY == 0);
}
-ANKERL_NANOBENCH_NO_SANITIZE("integer")
+ANKERL_NANOBENCH_NO_SANITIZE("integer", "undefined")
uint64_t splitMix64(uint64_t& state) noexcept {
uint64_t z = (state += UINT64_C(0x9e3779b97f4a7c15));
z = (z ^ (z >> 30U)) * UINT64_C(0xbf58476d1ce4e5b9);
@@ -3145,6 +3267,24 @@ Rng Rng::copy() const noexcept {
return Rng{mX, mY};
}
+Rng::Rng(std::vector<uint64_t> const& data)
+ : mX(0)
+ , mY(0) {
+ if (data.size() != 2) {
+ throw std::runtime_error("ankerl::nanobench::Rng::Rng: needed exactly 2 entries in data, but got " +
+ detail::fmt::to_s(data.size()));
+ }
+ mX = data[0];
+ mY = data[1];
+}
+
+std::vector<uint64_t> Rng::state() const {
+ std::vector<uint64_t> data(2);
+ data[0] = mX;
+ data[1] = mY;
+ return data;
+}
+
BigO::RangeMeasure BigO::collectRangeMeasure(std::vector<Result> const& results) {
BigO::RangeMeasure rangeMeasure;
for (auto const& result : results) {
diff --git a/src/bench/peer_eviction.cpp b/src/bench/peer_eviction.cpp
new file mode 100644
index 0000000000..f05f5e8f64
--- /dev/null
+++ b/src/bench/peer_eviction.cpp
@@ -0,0 +1,155 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <bench/bench.h>
+#include <net.h>
+#include <netaddress.h>
+#include <random.h>
+#include <test/util/net.h>
+#include <test/util/setup_common.h>
+
+#include <algorithm>
+#include <functional>
+#include <vector>
+
+static void EvictionProtectionCommon(
+ benchmark::Bench& bench,
+ int num_candidates,
+ std::function<void(NodeEvictionCandidate&)> candidate_setup_fn)
+{
+ using Candidates = std::vector<NodeEvictionCandidate>;
+ FastRandomContext random_context{true};
+
+ Candidates candidates{GetRandomNodeEvictionCandidates(num_candidates, random_context)};
+ for (auto& c : candidates) {
+ candidate_setup_fn(c);
+ }
+
+
+ bench.run([&] {
+ // creating a copy has an overhead of about 3%, so it does not influence the benchmark results much.
+ auto copy = candidates;
+ ProtectEvictionCandidatesByRatio(copy);
+ });
+}
+
+/* Benchmarks */
+
+static void EvictionProtection0Networks250Candidates(benchmark::Bench& bench)
+{
+ EvictionProtectionCommon(
+ bench,
+ 250 /* num_candidates */,
+ [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_network = NET_IPV4;
+ });
+}
+
+static void EvictionProtection1Networks250Candidates(benchmark::Bench& bench)
+{
+ EvictionProtectionCommon(
+ bench,
+ 250 /* num_candidates */,
+ [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = false;
+ if (c.id >= 130 && c.id < 240) { // 110 Tor
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ });
+}
+
+static void EvictionProtection2Networks250Candidates(benchmark::Bench& bench)
+{
+ EvictionProtectionCommon(
+ bench,
+ 250 /* num_candidates */,
+ [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = false;
+ if (c.id >= 90 && c.id < 160) { // 70 Tor
+ c.m_network = NET_ONION;
+ } else if (c.id >= 170 && c.id < 250) { // 80 I2P
+ c.m_network = NET_I2P;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ });
+}
+
+static void EvictionProtection3Networks050Candidates(benchmark::Bench& bench)
+{
+ EvictionProtectionCommon(
+ bench,
+ 50 /* num_candidates */,
+ [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 28 || c.id == 47); // 2 localhost
+ if (c.id >= 30 && c.id < 47) { // 17 I2P
+ c.m_network = NET_I2P;
+ } else if (c.id >= 24 && c.id < 28) { // 4 Tor
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ });
+}
+
+static void EvictionProtection3Networks100Candidates(benchmark::Bench& bench)
+{
+ EvictionProtectionCommon(
+ bench,
+ 100 /* num_candidates */,
+ [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id >= 55 && c.id < 60); // 5 localhost
+ if (c.id >= 70 && c.id < 80) { // 10 I2P
+ c.m_network = NET_I2P;
+ } else if (c.id >= 80 && c.id < 96) { // 16 Tor
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ });
+}
+
+static void EvictionProtection3Networks250Candidates(benchmark::Bench& bench)
+{
+ EvictionProtectionCommon(
+ bench,
+ 250 /* num_candidates */,
+ [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id >= 140 && c.id < 160); // 20 localhost
+ if (c.id >= 170 && c.id < 180) { // 10 I2P
+ c.m_network = NET_I2P;
+ } else if (c.id >= 190 && c.id < 240) { // 50 Tor
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ });
+}
+
+// Candidate numbers used for the benchmarks:
+// - 50 candidates simulates a possible use of -maxconnections
+// - 100 candidates approximates an average node with default settings
+// - 250 candidates is the number of peers reported by operators of busy nodes
+
+// No disadvantaged networks, with 250 eviction candidates.
+BENCHMARK(EvictionProtection0Networks250Candidates);
+
+// 1 disadvantaged network (Tor) with 250 eviction candidates.
+BENCHMARK(EvictionProtection1Networks250Candidates);
+
+// 2 disadvantaged networks (I2P, Tor) with 250 eviction candidates.
+BENCHMARK(EvictionProtection2Networks250Candidates);
+
+// 3 disadvantaged networks (I2P/localhost/Tor) with 50/100/250 eviction candidates.
+BENCHMARK(EvictionProtection3Networks050Candidates);
+BENCHMARK(EvictionProtection3Networks100Candidates);
+BENCHMARK(EvictionProtection3Networks250Candidates);
diff --git a/src/bench/prevector.cpp b/src/bench/prevector.cpp
index f4fabedab6..6343ed7848 100644
--- a/src/bench/prevector.cpp
+++ b/src/bench/prevector.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/bench/rollingbloom.cpp b/src/bench/rollingbloom.cpp
index 997ab56549..9f1679aa84 100644
--- a/src/bench/rollingbloom.cpp
+++ b/src/bench/rollingbloom.cpp
@@ -1,10 +1,10 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <bench/bench.h>
-#include <bloom.h>
+#include <common/bloom.h>
static void RollingBloom(benchmark::Bench& bench)
{
@@ -13,16 +13,16 @@ static void RollingBloom(benchmark::Bench& bench)
uint32_t count = 0;
bench.run([&] {
count++;
- data[0] = count;
- data[1] = count >> 8;
- data[2] = count >> 16;
- data[3] = count >> 24;
+ data[0] = count & 0xFF;
+ data[1] = (count >> 8) & 0xFF;
+ data[2] = (count >> 16) & 0xFF;
+ data[3] = (count >> 24) & 0xFF;
filter.insert(data);
- data[0] = count >> 24;
- data[1] = count >> 16;
- data[2] = count >> 8;
- data[3] = count;
+ data[0] = (count >> 24) & 0xFF;
+ data[1] = (count >> 16) & 0xFF;
+ data[2] = (count >> 8) & 0xFF;
+ data[3] = count & 0xFF;
filter.contains(data);
});
}
diff --git a/src/bench/rpc_blockchain.cpp b/src/bench/rpc_blockchain.cpp
index c8886a4c23..2143bcf950 100644
--- a/src/bench/rpc_blockchain.cpp
+++ b/src/bench/rpc_blockchain.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -23,8 +23,8 @@ struct TestBlockAndIndex {
TestBlockAndIndex()
{
CDataStream stream(benchmark::data::block413567, SER_NETWORK, PROTOCOL_VERSION);
- char a = '\0';
- stream.write(&a, 1); // Prevent compaction
+ std::byte a{0};
+ stream.write({&a, 1}); // Prevent compaction
stream >> block;
@@ -40,7 +40,7 @@ static void BlockToJsonVerbose(benchmark::Bench& bench)
{
TestBlockAndIndex data;
bench.run([&] {
- auto univalue = blockToJSON(data.block, &data.blockindex, &data.blockindex, /*verbose*/ true);
+ auto univalue = blockToJSON(data.block, &data.blockindex, &data.blockindex, TxVerbosity::SHOW_DETAILS_AND_PREVOUT);
ankerl::nanobench::doNotOptimizeAway(univalue);
});
}
@@ -50,7 +50,7 @@ BENCHMARK(BlockToJsonVerbose);
static void BlockToJsonVerboseWrite(benchmark::Bench& bench)
{
TestBlockAndIndex data;
- auto univalue = blockToJSON(data.block, &data.blockindex, &data.blockindex, /*verbose*/ true);
+ auto univalue = blockToJSON(data.block, &data.blockindex, &data.blockindex, TxVerbosity::SHOW_DETAILS_AND_PREVOUT);
bench.run([&] {
auto str = univalue.write();
ankerl::nanobench::doNotOptimizeAway(str);
diff --git a/src/bench/rpc_mempool.cpp b/src/bench/rpc_mempool.cpp
index f1eeef8885..12dcff5844 100644
--- a/src/bench/rpc_mempool.cpp
+++ b/src/bench/rpc_mempool.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,7 +12,7 @@
static void AddTx(const CTransactionRef& tx, const CAmount& fee, CTxMemPool& pool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, pool.cs)
{
LockPoints lp;
- pool.addUnchecked(CTxMemPoolEntry(tx, fee, /* time */ 0, /* height */ 1, /* spendsCoinbase */ false, /* sigOpCost */ 4, lp));
+ pool.addUnchecked(CTxMemPoolEntry(tx, fee, /*time=*/0, /*entry_height=*/1, /*spends_coinbase=*/false, /*sigops_cost=*/4, lp));
}
static void RpcMempool(benchmark::Bench& bench)
diff --git a/src/bench/verify_script.cpp b/src/bench/verify_script.cpp
index e3f6b35a7d..8e4708f260 100644
--- a/src/bench/verify_script.cpp
+++ b/src/bench/verify_script.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,7 +21,7 @@ static void VerifyScriptBench(benchmark::Bench& bench)
const ECCVerifyHandle verify_handle;
ECC_Start();
- const int flags = SCRIPT_VERIFY_WITNESS | SCRIPT_VERIFY_P2SH;
+ const uint32_t flags{SCRIPT_VERIFY_WITNESS | SCRIPT_VERIFY_P2SH};
const int witnessversion = 0;
// Key pair.
@@ -56,7 +56,7 @@ static void VerifyScriptBench(benchmark::Bench& bench)
txCredit.vout[0].scriptPubKey,
&txSpend.vin[0].scriptWitness,
flags,
- MutableTransactionSignatureChecker(&txSpend, 0, txCredit.vout[0].nValue),
+ MutableTransactionSignatureChecker(&txSpend, 0, txCredit.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL),
&err);
assert(err == SCRIPT_ERR_OK);
assert(success);
diff --git a/src/bench/wallet_balance.cpp b/src/bench/wallet_balance.cpp
index c96ef209e3..d4b8794c6d 100644
--- a/src/bench/wallet_balance.cpp
+++ b/src/bench/wallet_balance.cpp
@@ -1,33 +1,41 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <bench/bench.h>
#include <interfaces/chain.h>
#include <node/context.h>
-#include <optional.h>
#include <test/util/mining.h>
#include <test/util/setup_common.h>
#include <test/util/wallet.h>
#include <validationinterface.h>
+#include <wallet/receive.h>
#include <wallet/wallet.h>
-static void WalletBalance(benchmark::Bench& bench, const bool set_dirty, const bool add_watchonly, const bool add_mine)
+#include <optional>
+
+using wallet::CWallet;
+using wallet::CreateMockWalletDatabase;
+using wallet::DBErrors;
+using wallet::GetBalance;
+using wallet::WALLET_FLAG_DESCRIPTORS;
+
+static void WalletBalance(benchmark::Bench& bench, const bool set_dirty, const bool add_mine)
{
const auto test_setup = MakeNoLogFileContext<const TestingSetup>();
const auto& ADDRESS_WATCHONLY = ADDRESS_BCRT1_UNSPENDABLE;
- CWallet wallet{test_setup->m_node.chain.get(), "", CreateMockWalletDatabase()};
+ CWallet wallet{test_setup->m_node.chain.get(), "", gArgs, CreateMockWalletDatabase()};
{
- wallet.SetupLegacyScriptPubKeyMan();
- bool first_run;
- if (wallet.LoadWallet(first_run) != DBErrors::LOAD_OK) assert(false);
+ LOCK(wallet.cs_wallet);
+ wallet.SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet.SetupDescriptorScriptPubKeyMans();
+ if (wallet.LoadWallet() != DBErrors::LOAD_OK) assert(false);
}
auto handler = test_setup->m_node.chain->handleNotifications({&wallet, [](CWallet*) {}});
- const Optional<std::string> address_mine{add_mine ? Optional<std::string>{getnewaddress(wallet)} : nullopt};
- if (add_watchonly) importaddress(wallet, ADDRESS_WATCHONLY);
+ const std::optional<std::string> address_mine{add_mine ? std::optional<std::string>{getnewaddress(wallet)} : std::nullopt};
for (int i = 0; i < 100; ++i) {
generatetoaddress(test_setup->m_node, address_mine.value_or(ADDRESS_WATCHONLY));
@@ -35,20 +43,19 @@ static void WalletBalance(benchmark::Bench& bench, const bool set_dirty, const b
}
SyncWithValidationInterfaceQueue();
- auto bal = wallet.GetBalance(); // Cache
+ auto bal = GetBalance(wallet); // Cache
bench.run([&] {
if (set_dirty) wallet.MarkDirty();
- bal = wallet.GetBalance();
+ bal = GetBalance(wallet);
if (add_mine) assert(bal.m_mine_trusted > 0);
- if (add_watchonly) assert(bal.m_watchonly_trusted > 0);
});
}
-static void WalletBalanceDirty(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ true, /* add_watchonly */ true, /* add_mine */ true); }
-static void WalletBalanceClean(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ false, /* add_watchonly */ true, /* add_mine */ true); }
-static void WalletBalanceMine(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ false, /* add_watchonly */ false, /* add_mine */ true); }
-static void WalletBalanceWatch(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ false, /* add_watchonly */ true, /* add_mine */ false); }
+static void WalletBalanceDirty(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ true, /* add_mine */ true); }
+static void WalletBalanceClean(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ false, /* add_mine */ true); }
+static void WalletBalanceMine(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ false, /* add_mine */ true); }
+static void WalletBalanceWatch(benchmark::Bench& bench) { WalletBalance(bench, /* set_dirty */ false, /* add_mine */ false); }
BENCHMARK(WalletBalanceDirty);
BENCHMARK(WalletBalanceClean);
diff --git a/src/bitcoin-cli-res.rc b/src/bitcoin-cli-res.rc
index 405a302261..d9e5dcf7fd 100644
--- a/src/bitcoin-cli-res.rc
+++ b/src/bitcoin-cli-res.rc
@@ -2,9 +2,7 @@
#include "clientversion.h" // holds the needed client version information
#define VER_PRODUCTVERSION CLIENT_VERSION_MAJOR,CLIENT_VERSION_MINOR,CLIENT_VERSION_BUILD
-#define VER_PRODUCTVERSION_STR STRINGIZE(CLIENT_VERSION_MAJOR) "." STRINGIZE(CLIENT_VERSION_MINOR) "." STRINGIZE(CLIENT_VERSION_BUILD)
#define VER_FILEVERSION VER_PRODUCTVERSION
-#define VER_FILEVERSION_STR VER_PRODUCTVERSION_STR
VS_VERSION_INFO VERSIONINFO
FILEVERSION VER_FILEVERSION
@@ -18,13 +16,13 @@ BEGIN
BEGIN
VALUE "CompanyName", "Bitcoin"
VALUE "FileDescription", "bitcoin-cli (JSON-RPC client for " PACKAGE_NAME ")"
- VALUE "FileVersion", VER_FILEVERSION_STR
+ VALUE "FileVersion", PACKAGE_VERSION
VALUE "InternalName", "bitcoin-cli"
VALUE "LegalCopyright", COPYRIGHT_STR
VALUE "LegalTrademarks1", "Distributed under the MIT software license, see the accompanying file COPYING or http://www.opensource.org/licenses/mit-license.php."
VALUE "OriginalFilename", "bitcoin-cli.exe"
VALUE "ProductName", "bitcoin-cli"
- VALUE "ProductVersion", VER_PRODUCTVERSION_STR
+ VALUE "ProductVersion", PACKAGE_VERSION
END
END
diff --git a/src/bitcoin-cli.cpp b/src/bitcoin-cli.cpp
index dc4b142f83..a85a74835d 100644
--- a/src/bitcoin-cli.cpp
+++ b/src/bitcoin-cli.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,7 +9,7 @@
#include <chainparamsbase.h>
#include <clientversion.h>
-#include <optional.h>
+#include <policy/feerate.h>
#include <rpc/client.h>
#include <rpc/mining.h>
#include <rpc/protocol.h>
@@ -24,10 +24,15 @@
#include <cmath>
#include <functional>
#include <memory>
+#include <optional>
#include <stdio.h>
#include <string>
#include <tuple>
+#ifndef WIN32
+#include <unistd.h>
+#endif
+
#include <event2/buffer.h>
#include <event2/keyvalq_struct.h>
#include <support/events.h>
@@ -40,12 +45,18 @@ UrlDecodeFn* const URL_DECODE = urlDecode;
static const char DEFAULT_RPCCONNECT[] = "127.0.0.1";
static const int DEFAULT_HTTP_CLIENT_TIMEOUT=900;
+static constexpr int DEFAULT_WAIT_CLIENT_TIMEOUT = 0;
static const bool DEFAULT_NAMED=false;
static const int CONTINUE_EXECUTION=-1;
+static constexpr int8_t UNKNOWN_NETWORK{-1};
+static constexpr std::array NETWORKS{"ipv4", "ipv6", "onion", "i2p", "cjdns"};
/** Default number of blocks to generate for RPC generatetoaddress. */
static const std::string DEFAULT_NBLOCKS = "1";
+/** Default -color setting. */
+static const std::string DEFAULT_COLOR_SETTING{"auto"};
+
static void SetupCliArgs(ArgsManager& argsman)
{
SetupHelpOptions(argsman);
@@ -59,10 +70,12 @@ static void SetupCliArgs(ArgsManager& argsman)
argsman.AddArg("-conf=<file>", strprintf("Specify configuration file. Relative paths will be prefixed by datadir location. (default: %s)", BITCOIN_CONF_FILENAME), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-datadir=<dir>", "Specify data directory", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-generate", strprintf("Generate blocks immediately, equivalent to RPC getnewaddress followed by RPC generatetoaddress. Optional positional integer arguments are number of blocks to generate (default: %s) and maximum iterations to try (default: %s), equivalent to RPC generatetoaddress nblocks and maxtries arguments. Example: bitcoin-cli -generate 4 1000", DEFAULT_NBLOCKS, DEFAULT_MAX_TRIES), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-addrinfo", "Get the number of addresses known to the node, per network and total.", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-getinfo", "Get general information from the remote server. Note that unlike server-side RPC calls, the results of -getinfo is the result of multiple non-atomic requests. Some entries in the result may represent results from different states (e.g. wallet balance may be as of a different block from the chain state reported)", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-netinfo", "Get network peer connection information from the remote server. An optional integer argument from 0 to 4 can be passed for different peers listings (default: 0). Pass \"help\" for detailed help documentation.", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
SetupChainParamsBaseOptions(argsman);
+ argsman.AddArg("-color=<when>", strprintf("Color setting for CLI output (default: %s). Valid values: always, auto (add color codes when standard output is connected to a terminal and OS is not WIN32), never.", DEFAULT_COLOR_SETTING), ArgsManager::ALLOW_ANY | ArgsManager::DISALLOW_NEGATION, OptionsCategory::OPTIONS);
argsman.AddArg("-named", strprintf("Pass named instead of positional arguments (default: %s)", DEFAULT_NAMED), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-rpcclienttimeout=<n>", strprintf("Timeout in seconds during HTTP requests, or 0 for no timeout. (default: %d)", DEFAULT_HTTP_CLIENT_TIMEOUT), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-rpcconnect=<ip>", strprintf("Send commands to node running on <ip> (default: %s)", DEFAULT_RPCCONNECT), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
@@ -71,6 +84,7 @@ static void SetupCliArgs(ArgsManager& argsman)
argsman.AddArg("-rpcport=<port>", strprintf("Connect to JSON-RPC on <port> (default: %u, testnet: %u, signet: %u, regtest: %u)", defaultBaseParams->RPCPort(), testnetBaseParams->RPCPort(), signetBaseParams->RPCPort(), regtestBaseParams->RPCPort()), ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::OPTIONS);
argsman.AddArg("-rpcuser=<user>", "Username for JSON-RPC connections", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-rpcwait", "Wait for RPC server to start", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-rpcwaittimeout=<n>", strprintf("Timeout in seconds to wait for the RPC server to start, or 0 for no timeout. (default: %d)", DEFAULT_WAIT_CLIENT_TIMEOUT), ArgsManager::ALLOW_ANY | ArgsManager::DISALLOW_NEGATION, OptionsCategory::OPTIONS);
argsman.AddArg("-rpcwallet=<walletname>", "Send RPC for non-default wallet on RPC server (needs to exactly match corresponding -wallet option passed to bitcoind). This changes the RPC endpoint used, e.g. http://127.0.0.1:8332/wallet/<walletname>", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-stdin", "Read extra arguments from standard input, one per line until EOF/Ctrl-D (recommended for sensitive information such as passphrases). When combined with -stdinrpcpass, the first line from standard input is used for the RPC password.", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-stdinrpcpass", "Read RPC password from standard input as a single line. When combined with -stdin, the first line from standard input is used for the RPC password. When combined with -stdinwalletpassphrase, -stdinrpcpass consumes the first line, and -stdinwalletpassphrase consumes the second.", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
@@ -80,9 +94,6 @@ static void SetupCliArgs(ArgsManager& argsman)
/** libevent event log callback */
static void libevent_log_cb(int severity, const char *msg)
{
-#ifndef EVENT_LOG_ERR // EVENT_LOG_ERR was added in 2.0.19; but before then _EVENT_LOG_ERR existed.
-# define EVENT_LOG_ERR _EVENT_LOG_ERR
-#endif
// Ignore everything other than errors
if (severity >= EVENT_LOG_ERR) {
throw std::runtime_error(strprintf("libevent error: %s", msg));
@@ -228,6 +239,56 @@ public:
virtual UniValue ProcessReply(const UniValue &batch_in) = 0;
};
+/** Process addrinfo requests */
+class AddrinfoRequestHandler : public BaseRequestHandler
+{
+private:
+ int8_t NetworkStringToId(const std::string& str) const
+ {
+ for (size_t i = 0; i < NETWORKS.size(); ++i) {
+ if (str == NETWORKS[i]) return i;
+ }
+ return UNKNOWN_NETWORK;
+ }
+
+public:
+ UniValue PrepareRequest(const std::string& method, const std::vector<std::string>& args) override
+ {
+ if (!args.empty()) {
+ throw std::runtime_error("-addrinfo takes no arguments");
+ }
+ UniValue params{RPCConvertValues("getnodeaddresses", std::vector<std::string>{{"0"}})};
+ return JSONRPCRequestObj("getnodeaddresses", params, 1);
+ }
+
+ UniValue ProcessReply(const UniValue& reply) override
+ {
+ if (!reply["error"].isNull()) return reply;
+ const std::vector<UniValue>& nodes{reply["result"].getValues()};
+ if (!nodes.empty() && nodes.at(0)["network"].isNull()) {
+ throw std::runtime_error("-addrinfo requires bitcoind server to be running v22.0 and up");
+ }
+ // Count the number of peers known to our node, by network.
+ std::array<uint64_t, NETWORKS.size()> counts{{}};
+ for (const UniValue& node : nodes) {
+ std::string network_name{node["network"].get_str()};
+ const int8_t network_id{NetworkStringToId(network_name)};
+ if (network_id == UNKNOWN_NETWORK) continue;
+ ++counts.at(network_id);
+ }
+ // Prepare result to return to user.
+ UniValue result{UniValue::VOBJ}, addresses{UniValue::VOBJ};
+ uint64_t total{0}; // Total address count
+ for (size_t i = 0; i < NETWORKS.size(); ++i) {
+ addresses.pushKV(NETWORKS[i], counts.at(i));
+ total += counts.at(i);
+ }
+ addresses.pushKV("total", total);
+ result.pushKV("addresses_known", addresses);
+ return JSONRPCReplyObj(result, NullUniValue, 1);
+ }
+};
+
/** Process getinfo requests */
class GetinfoRequestHandler: public BaseRequestHandler
{
@@ -276,11 +337,13 @@ public:
connections.pushKV("total", batch[ID_NETWORKINFO]["result"]["connections"]);
result.pushKV("connections", connections);
- result.pushKV("proxy", batch[ID_NETWORKINFO]["result"]["networks"][0]["proxy"]);
+ result.pushKV("networks", batch[ID_NETWORKINFO]["result"]["networks"]);
result.pushKV("difficulty", batch[ID_BLOCKCHAININFO]["result"]["difficulty"]);
result.pushKV("chain", UniValue(batch[ID_BLOCKCHAININFO]["result"]["chain"]));
if (!batch[ID_WALLETINFO]["result"].isNull()) {
+ result.pushKV("has_wallet", true);
result.pushKV("keypoolsize", batch[ID_WALLETINFO]["result"]["keypoolsize"]);
+ result.pushKV("walletname", batch[ID_WALLETINFO]["result"]["walletname"]);
if (!batch[ID_WALLETINFO]["result"]["unlocked_until"].isNull()) {
result.pushKV("unlocked_until", batch[ID_WALLETINFO]["result"]["unlocked_until"]);
}
@@ -299,17 +362,14 @@ public:
class NetinfoRequestHandler : public BaseRequestHandler
{
private:
- static constexpr int8_t UNKNOWN_NETWORK{-1};
- static constexpr uint8_t m_networks_size{4};
static constexpr uint8_t MAX_DETAIL_LEVEL{4};
- const std::array<std::string, m_networks_size> m_networks{{"ipv4", "ipv6", "onion", "i2p"}};
- std::array<std::array<uint16_t, m_networks_size + 1>, 3> m_counts{{{}}}; //!< Peer counts by (in/out/total, networks/total)
+ std::array<std::array<uint16_t, NETWORKS.size() + 1>, 3> m_counts{{{}}}; //!< Peer counts by (in/out/total, networks/total)
uint8_t m_block_relay_peers_count{0};
uint8_t m_manual_peers_count{0};
int8_t NetworkStringToId(const std::string& str) const
{
- for (uint8_t i = 0; i < m_networks_size; ++i) {
- if (str == m_networks.at(i)) return i;
+ for (size_t i = 0; i < NETWORKS.size(); ++i) {
+ if (str == NETWORKS[i]) return i;
}
return UNKNOWN_NETWORK;
}
@@ -319,7 +379,9 @@ private:
bool IsVersionSelected() const { return m_details_level == 3 || m_details_level == 4; }
bool m_is_asmap_on{false};
size_t m_max_addr_length{0};
- size_t m_max_age_length{3};
+ size_t m_max_addr_processed_length{5};
+ size_t m_max_addr_rate_limited_length{6};
+ size_t m_max_age_length{5};
size_t m_max_id_length{2};
struct Peer {
std::string addr;
@@ -329,6 +391,8 @@ private:
std::string age;
double min_ping;
double ping;
+ int64_t addr_processed;
+ int64_t addr_rate_limited;
int64_t last_blck;
int64_t last_recv;
int64_t last_send;
@@ -336,6 +400,7 @@ private:
int id;
int mapped_as;
int version;
+ bool is_addr_relay_enabled;
bool is_bip152_hb_from;
bool is_bip152_hb_to;
bool is_block_relay;
@@ -364,7 +429,7 @@ private:
if (conn_type == "addr-fetch") return "addr";
return "";
}
- const int64_t m_time_now{GetSystemTimeInSeconds()};
+ const int64_t m_time_now{GetTimeSeconds()};
public:
static constexpr int ID_PEERINFO = 0;
@@ -406,9 +471,9 @@ public:
const bool is_block_relay{!peer["relaytxes"].get_bool()};
const std::string conn_type{peer["connection_type"].get_str()};
++m_counts.at(is_outbound).at(network_id); // in/out by network
- ++m_counts.at(is_outbound).at(m_networks_size); // in/out overall
+ ++m_counts.at(is_outbound).at(NETWORKS.size()); // in/out overall
++m_counts.at(2).at(network_id); // total by network
- ++m_counts.at(2).at(m_networks_size); // total overall
+ ++m_counts.at(2).at(NETWORKS.size()); // total overall
if (conn_type == "block-relay-only") ++m_block_relay_peers_count;
if (conn_type == "manual") ++m_manual_peers_count;
if (DetailsRequested()) {
@@ -416,6 +481,8 @@ public:
const int peer_id{peer["id"].get_int()};
const int mapped_as{peer["mapped_as"].isNull() ? 0 : peer["mapped_as"].get_int()};
const int version{peer["version"].get_int()};
+ const int64_t addr_processed{peer["addr_processed"].isNull() ? 0 : peer["addr_processed"].get_int64()};
+ const int64_t addr_rate_limited{peer["addr_rate_limited"].isNull() ? 0 : peer["addr_rate_limited"].get_int64()};
const int64_t conn_time{peer["conntime"].get_int64()};
const int64_t last_blck{peer["last_block"].get_int64()};
const int64_t last_recv{peer["lastrecv"].get_int64()};
@@ -426,10 +493,13 @@ public:
const std::string addr{peer["addr"].get_str()};
const std::string age{conn_time == 0 ? "" : ToString((m_time_now - conn_time) / 60)};
const std::string sub_version{peer["subver"].get_str()};
+ const bool is_addr_relay_enabled{peer["addr_relay_enabled"].isNull() ? false : peer["addr_relay_enabled"].get_bool()};
const bool is_bip152_hb_from{peer["bip152_hb_from"].get_bool()};
const bool is_bip152_hb_to{peer["bip152_hb_to"].get_bool()};
- m_peers.push_back({addr, sub_version, conn_type, network, age, min_ping, ping, last_blck, last_recv, last_send, last_trxn, peer_id, mapped_as, version, is_bip152_hb_from, is_bip152_hb_to, is_block_relay, is_outbound});
+ m_peers.push_back({addr, sub_version, conn_type, network, age, min_ping, ping, addr_processed, addr_rate_limited, last_blck, last_recv, last_send, last_trxn, peer_id, mapped_as, version, is_addr_relay_enabled, is_bip152_hb_from, is_bip152_hb_to, is_block_relay, is_outbound});
m_max_addr_length = std::max(addr.length() + 1, m_max_addr_length);
+ m_max_addr_processed_length = std::max(ToString(addr_processed).length(), m_max_addr_processed_length);
+ m_max_addr_rate_limited_length = std::max(ToString(addr_rate_limited).length(), m_max_addr_rate_limited_length);
m_max_age_length = std::max(age.length(), m_max_age_length);
m_max_id_length = std::max(ToString(peer_id).length(), m_max_id_length);
m_is_asmap_on |= (mapped_as != 0);
@@ -437,52 +507,70 @@ public:
}
// Generate report header.
- std::string result{strprintf("%s %s%s - %i%s\n\n", PACKAGE_NAME, FormatFullVersion(), ChainToString(), networkinfo["protocolversion"].get_int(), networkinfo["subversion"].get_str())};
+ std::string result{strprintf("%s client %s%s - server %i%s\n\n", PACKAGE_NAME, FormatFullVersion(), ChainToString(), networkinfo["protocolversion"].get_int(), networkinfo["subversion"].get_str())};
// Report detailed peer connections list sorted by direction and minimum ping time.
if (DetailsRequested() && !m_peers.empty()) {
std::sort(m_peers.begin(), m_peers.end());
- result += strprintf("<-> type net mping ping send recv txn blk hb %*s ", m_max_age_length, "age");
+ result += strprintf("<-> type net mping ping send recv txn blk hb %*s%*s%*s ",
+ m_max_addr_processed_length, "addrp",
+ m_max_addr_rate_limited_length, "addrl",
+ m_max_age_length, "age");
if (m_is_asmap_on) result += " asmap ";
result += strprintf("%*s %-*s%s\n", m_max_id_length, "id", IsAddressSelected() ? m_max_addr_length : 0, IsAddressSelected() ? "address" : "", IsVersionSelected() ? "version" : "");
for (const Peer& peer : m_peers) {
std::string version{ToString(peer.version) + peer.sub_version};
result += strprintf(
- "%3s %6s %5s%7s%7s%5s%5s%5s%5s %2s %*s%*i %*s %-*s%s\n",
+ "%3s %6s %5s%7s%7s%5s%5s%5s%5s %2s %*s%*s%*s%*i %*s %-*s%s\n",
peer.is_outbound ? "out" : "in",
ConnectionTypeForNetinfo(peer.conn_type),
peer.network,
PingTimeToString(peer.min_ping),
PingTimeToString(peer.ping),
- peer.last_send == 0 ? "" : ToString(m_time_now - peer.last_send),
- peer.last_recv == 0 ? "" : ToString(m_time_now - peer.last_recv),
- peer.last_trxn == 0 ? "" : ToString((m_time_now - peer.last_trxn) / 60),
- peer.last_blck == 0 ? "" : ToString((m_time_now - peer.last_blck) / 60),
+ peer.last_send ? ToString(m_time_now - peer.last_send) : "",
+ peer.last_recv ? ToString(m_time_now - peer.last_recv) : "",
+ peer.last_trxn ? ToString((m_time_now - peer.last_trxn) / 60) : peer.is_block_relay ? "*" : "",
+ peer.last_blck ? ToString((m_time_now - peer.last_blck) / 60) : "",
strprintf("%s%s", peer.is_bip152_hb_to ? "." : " ", peer.is_bip152_hb_from ? "*" : " "),
+ m_max_addr_processed_length, // variable spacing
+ peer.addr_processed ? ToString(peer.addr_processed) : peer.is_addr_relay_enabled ? "" : ".",
+ m_max_addr_rate_limited_length, // variable spacing
+ peer.addr_rate_limited ? ToString(peer.addr_rate_limited) : "",
m_max_age_length, // variable spacing
peer.age,
m_is_asmap_on ? 7 : 0, // variable spacing
- m_is_asmap_on && peer.mapped_as != 0 ? ToString(peer.mapped_as) : "",
+ m_is_asmap_on && peer.mapped_as ? ToString(peer.mapped_as) : "",
m_max_id_length, // variable spacing
peer.id,
IsAddressSelected() ? m_max_addr_length : 0, // variable spacing
IsAddressSelected() ? peer.addr : "",
IsVersionSelected() && version != "0" ? version : "");
}
- result += strprintf(" ms ms sec sec min min %*s\n\n", m_max_age_length, "min");
+ result += strprintf(" ms ms sec sec min min %*s\n\n", m_max_age_length, "min");
}
// Report peer connection totals by type.
- result += " ipv4 ipv6 onion";
- const bool any_i2p_peers = m_counts.at(2).at(3); // false if total i2p peers count is 0, otherwise true
- if (any_i2p_peers) result += " i2p";
+ result += " ";
+ std::vector<int8_t> reachable_networks;
+ for (const UniValue& network : networkinfo["networks"].getValues()) {
+ if (network["reachable"].get_bool()) {
+ const std::string& network_name{network["name"].get_str()};
+ const int8_t network_id{NetworkStringToId(network_name)};
+ if (network_id == UNKNOWN_NETWORK) continue;
+ result += strprintf("%8s", network_name); // column header
+ reachable_networks.push_back(network_id);
+ }
+ };
result += " total block";
if (m_manual_peers_count) result += " manual";
- const std::array<std::string, 3> rows{{"in", "out", "total"}};
- for (uint8_t i = 0; i < 3; ++i) {
- result += strprintf("\n%-5s %5i %5i %5i", rows.at(i), m_counts.at(i).at(0), m_counts.at(i).at(1), m_counts.at(i).at(2)); // ipv4/ipv6/onion peers counts
- if (any_i2p_peers) result += strprintf(" %5i", m_counts.at(i).at(3)); // i2p peers count
- result += strprintf(" %5i", m_counts.at(i).at(m_networks_size)); // total peers count
+
+ const std::array rows{"in", "out", "total"};
+ for (size_t i = 0; i < rows.size(); ++i) {
+ result += strprintf("\n%-5s", rows[i]); // row header
+ for (int8_t n : reachable_networks) {
+ result += strprintf("%8i", m_counts.at(i).at(n)); // network peers count
+ }
+ result += strprintf(" %5i", m_counts.at(i).at(NETWORKS.size())); // total peers count
if (i == 1) { // the outbound row has two extra columns for block relay and manual peer counts
result += strprintf(" %5i", m_block_relay_peers_count);
if (m_manual_peers_count) result += strprintf(" %5i", m_manual_peers_count);
@@ -518,8 +606,9 @@ public:
"Suggestion: use with the Linux watch(1) command for a live dashboard; see example below.\n\n"
"Arguments:\n"
+ strprintf("1. level (integer 0-%d, optional) Specify the info level of the peers dashboard (default 0):\n", MAX_DETAIL_LEVEL) +
- " 0 - Connection counts and local addresses\n"
- " 1 - Like 0 but with a peers listing (without address or version columns)\n"
+ " 0 - Peer counts for each reachable network as well as for block relay peers\n"
+ " and manual peers, and the list of local addresses and ports\n"
+ " 1 - Like 0 but preceded by a peers listing (without address and version columns)\n"
" 2 - Like 1 but with an address column\n"
" 3 - Like 1 but with a version column\n"
" 4 - Like 1 but with both address and version columns\n"
@@ -543,23 +632,27 @@ public:
" send Time since last message sent to the peer, in seconds\n"
" recv Time since last message received from the peer, in seconds\n"
" txn Time since last novel transaction received from the peer and accepted into our mempool, in minutes\n"
+ " \"*\" - the peer requested we not relay transactions to it (relaytxes is false)\n"
" blk Time since last novel block passing initial validity checks received from the peer, in minutes\n"
" hb High-bandwidth BIP152 compact block relay\n"
" \".\" (to) - we selected the peer as a high-bandwidth peer\n"
" \"*\" (from) - the peer selected us as a high-bandwidth peer\n"
+ " addrp Total number of addresses processed, excluding those dropped due to rate limiting\n"
+ " \".\" - we do not relay addresses to this peer (addr_relay_enabled is false)\n"
+ " addrl Total number of addresses dropped due to rate limiting\n"
" age Duration of connection to the peer, in minutes\n"
" asmap Mapped AS (Autonomous System) number in the BGP route to the peer, used for diversifying\n"
" peer selection (only displayed if the -asmap config option is set)\n"
" id Peer index, in increasing order of peer connections since node startup\n"
" address IP address and port of the peer\n"
" version Peer version and subversion concatenated, e.g. \"70016/Satoshi:21.0.0/\"\n\n"
- "* The connection counts table displays the number of peers by direction, network, and the totals\n"
- " for each, as well as two special outbound columns for block relay peers and manual peers.\n\n"
+ "* The peer counts table displays the number of peers for each reachable network as well as\n"
+ " the number of block relay peers and manual peers.\n\n"
"* The local addresses table lists each local address broadcast by the node, the port, and the score.\n\n"
"Examples:\n\n"
- "Connection counts and local addresses only\n"
+ "Peer counts table of reachable networks and list of local addresses\n"
"> bitcoin-cli -netinfo\n\n"
- "Compact peers listing\n"
+ "The same, preceded by a peers listing without address and version columns\n"
"> bitcoin-cli -netinfo 1\n\n"
"Full dashboard\n"
+ strprintf("> bitcoin-cli -netinfo %d\n\n", MAX_DETAIL_LEVEL) +
@@ -611,16 +704,16 @@ public:
}
};
-static UniValue CallRPC(BaseRequestHandler* rh, const std::string& strMethod, const std::vector<std::string>& args, const Optional<std::string>& rpcwallet = {})
+static UniValue CallRPC(BaseRequestHandler* rh, const std::string& strMethod, const std::vector<std::string>& args, const std::optional<std::string>& rpcwallet = {})
{
std::string host;
// In preference order, we choose the following for the port:
// 1. -rpcport
// 2. port in -rpcconnect (ie following : in ipv4 or ]: in ipv6)
// 3. default port for chain
- int port = BaseParams().RPCPort();
+ uint16_t port{BaseParams().RPCPort()};
SplitHostPort(gArgs.GetArg("-rpcconnect", DEFAULT_RPCCONNECT), port, host);
- port = gArgs.GetArg("-rpcport", port);
+ port = static_cast<uint16_t>(gArgs.GetIntArg("-rpcport", port));
// Obtain event base
raii_event_base base = obtain_event_base();
@@ -630,7 +723,7 @@ static UniValue CallRPC(BaseRequestHandler* rh, const std::string& strMethod, co
// Set connection timeout
{
- const int timeout = gArgs.GetArg("-rpcclienttimeout", DEFAULT_HTTP_CLIENT_TIMEOUT);
+ const int timeout = gArgs.GetIntArg("-rpcclienttimeout", DEFAULT_HTTP_CLIENT_TIMEOUT);
if (timeout > 0) {
evhttp_connection_set_timeout(evcon.get(), timeout);
} else {
@@ -704,10 +797,12 @@ static UniValue CallRPC(BaseRequestHandler* rh, const std::string& strMethod, co
if (failedToGetAuthCookie) {
throw std::runtime_error(strprintf(
"Could not locate RPC credentials. No authentication cookie could be found, and RPC password is not set. See -rpcpassword and -stdinrpcpass. Configuration file: (%s)",
- GetConfigFile(gArgs.GetArg("-conf", BITCOIN_CONF_FILENAME)).string()));
+ fs::PathToString(GetConfigFile(gArgs.GetArg("-conf", BITCOIN_CONF_FILENAME)))));
} else {
throw std::runtime_error("Authorization failed: Incorrect rpcuser or rpcpassword");
}
+ } else if (response.status == HTTP_SERVICE_UNAVAILABLE) {
+ throw std::runtime_error(strprintf("Server response: %s", response.body));
} else if (response.status >= 400 && response.status != HTTP_BAD_REQUEST && response.status != HTTP_NOT_FOUND && response.status != HTTP_INTERNAL_SERVER_ERROR)
throw std::runtime_error(strprintf("server returned HTTP error %d", response.status));
else if (response.body.empty())
@@ -733,11 +828,14 @@ static UniValue CallRPC(BaseRequestHandler* rh, const std::string& strMethod, co
* @returns the RPC response as a UniValue object.
* @throws a CConnectionFailed std::runtime_error if connection failed or RPC server still in warmup.
*/
-static UniValue ConnectAndCallRPC(BaseRequestHandler* rh, const std::string& strMethod, const std::vector<std::string>& args, const Optional<std::string>& rpcwallet = {})
+static UniValue ConnectAndCallRPC(BaseRequestHandler* rh, const std::string& strMethod, const std::vector<std::string>& args, const std::optional<std::string>& rpcwallet = {})
{
UniValue response(UniValue::VOBJ);
// Execute and handle connection failures with -rpcwait.
const bool fWait = gArgs.GetBoolArg("-rpcwait", false);
+ const int timeout = gArgs.GetIntArg("-rpcwaittimeout", DEFAULT_WAIT_CLIENT_TIMEOUT);
+ const auto deadline{GetTime<std::chrono::microseconds>() + 1s * timeout};
+
do {
try {
response = CallRPC(rh, strMethod, args, rpcwallet);
@@ -748,11 +846,12 @@ static UniValue ConnectAndCallRPC(BaseRequestHandler* rh, const std::string& str
}
}
break; // Connection succeeded, no need to retry.
- } catch (const CConnectionFailed&) {
- if (fWait) {
- UninterruptibleSleep(std::chrono::milliseconds{1000});
+ } catch (const CConnectionFailed& e) {
+ const auto now{GetTime<std::chrono::microseconds>()};
+ if (fWait && (timeout <= 0 || now < deadline)) {
+ UninterruptibleSleep(1s);
} else {
- throw;
+ throw CConnectionFailed(strprintf("timeout on transient error: %s", e.what()));
}
}
} while (fWait);
@@ -812,12 +911,157 @@ static void GetWalletBalances(UniValue& result)
}
/**
+ * GetProgressBar constructs a progress bar with 5% intervals.
+ *
+ * @param[in] progress The proportion of the progress bar to be filled between 0 and 1.
+ * @param[out] progress_bar String representation of the progress bar.
+ */
+static void GetProgressBar(double progress, std::string& progress_bar)
+{
+ if (progress < 0 || progress > 1) return;
+
+ static constexpr double INCREMENT{0.05};
+ static const std::string COMPLETE_BAR{"\u2592"};
+ static const std::string INCOMPLETE_BAR{"\u2591"};
+
+ for (int i = 0; i < progress / INCREMENT; ++i) {
+ progress_bar += COMPLETE_BAR;
+ }
+
+ for (int i = 0; i < (1 - progress) / INCREMENT; ++i) {
+ progress_bar += INCOMPLETE_BAR;
+ }
+}
+
+/**
+ * ParseGetInfoResult takes in -getinfo result in UniValue object and parses it
+ * into a user friendly UniValue string to be printed on the console.
+ * @param[out] result Reference to UniValue result containing the -getinfo output.
+ */
+static void ParseGetInfoResult(UniValue& result)
+{
+ if (!find_value(result, "error").isNull()) return;
+
+ std::string RESET, GREEN, BLUE, YELLOW, MAGENTA, CYAN;
+ bool should_colorize = false;
+
+#ifndef WIN32
+ if (isatty(fileno(stdout))) {
+ // By default, only print colored text if OS is not WIN32 and stdout is connected to a terminal.
+ should_colorize = true;
+ }
+#endif
+
+ if (gArgs.IsArgSet("-color")) {
+ const std::string color{gArgs.GetArg("-color", DEFAULT_COLOR_SETTING)};
+ if (color == "always") {
+ should_colorize = true;
+ } else if (color == "never") {
+ should_colorize = false;
+ } else if (color != "auto") {
+ throw std::runtime_error("Invalid value for -color option. Valid values: always, auto, never.");
+ }
+ }
+
+ if (should_colorize) {
+ RESET = "\x1B[0m";
+ GREEN = "\x1B[32m";
+ BLUE = "\x1B[34m";
+ YELLOW = "\x1B[33m";
+ MAGENTA = "\x1B[35m";
+ CYAN = "\x1B[36m";
+ }
+
+ std::string result_string = strprintf("%sChain: %s%s\n", BLUE, result["chain"].getValStr(), RESET);
+ result_string += strprintf("Blocks: %s\n", result["blocks"].getValStr());
+ result_string += strprintf("Headers: %s\n", result["headers"].getValStr());
+
+ const double ibd_progress{result["verificationprogress"].get_real()};
+ std::string ibd_progress_bar;
+ // Display the progress bar only if IBD progress is less than 99%
+ if (ibd_progress < 0.99) {
+ GetProgressBar(ibd_progress, ibd_progress_bar);
+ // Add padding between progress bar and IBD progress
+ ibd_progress_bar += " ";
+ }
+
+ result_string += strprintf("Verification progress: %s%.4f%%\n", ibd_progress_bar, ibd_progress * 100);
+ result_string += strprintf("Difficulty: %s\n\n", result["difficulty"].getValStr());
+
+ result_string += strprintf(
+ "%sNetwork: in %s, out %s, total %s%s\n",
+ GREEN,
+ result["connections"]["in"].getValStr(),
+ result["connections"]["out"].getValStr(),
+ result["connections"]["total"].getValStr(),
+ RESET);
+ result_string += strprintf("Version: %s\n", result["version"].getValStr());
+ result_string += strprintf("Time offset (s): %s\n", result["timeoffset"].getValStr());
+
+ // proxies
+ std::map<std::string, std::vector<std::string>> proxy_networks;
+ std::vector<std::string> ordered_proxies;
+
+ for (const UniValue& network : result["networks"].getValues()) {
+ const std::string proxy = network["proxy"].getValStr();
+ if (proxy.empty()) continue;
+ // Add proxy to ordered_proxy if has not been processed
+ if (proxy_networks.find(proxy) == proxy_networks.end()) ordered_proxies.push_back(proxy);
+
+ proxy_networks[proxy].push_back(network["name"].getValStr());
+ }
+
+ std::vector<std::string> formatted_proxies;
+ for (const std::string& proxy : ordered_proxies) {
+ formatted_proxies.emplace_back(strprintf("%s (%s)", proxy, Join(proxy_networks.find(proxy)->second, ", ")));
+ }
+ result_string += strprintf("Proxies: %s\n", formatted_proxies.empty() ? "n/a" : Join(formatted_proxies, ", "));
+
+ result_string += strprintf("Min tx relay fee rate (%s/kvB): %s\n\n", CURRENCY_UNIT, result["relayfee"].getValStr());
+
+ if (!result["has_wallet"].isNull()) {
+ const std::string walletname = result["walletname"].getValStr();
+ result_string += strprintf("%sWallet: %s%s\n", MAGENTA, walletname.empty() ? "\"\"" : walletname, RESET);
+
+ result_string += strprintf("Keypool size: %s\n", result["keypoolsize"].getValStr());
+ if (!result["unlocked_until"].isNull()) {
+ result_string += strprintf("Unlocked until: %s\n", result["unlocked_until"].getValStr());
+ }
+ result_string += strprintf("Transaction fee rate (-paytxfee) (%s/kvB): %s\n\n", CURRENCY_UNIT, result["paytxfee"].getValStr());
+ }
+ if (!result["balance"].isNull()) {
+ result_string += strprintf("%sBalance:%s %s\n\n", CYAN, RESET, result["balance"].getValStr());
+ }
+
+ if (!result["balances"].isNull()) {
+ result_string += strprintf("%sBalances%s\n", CYAN, RESET);
+
+ size_t max_balance_length{10};
+
+ for (const std::string& wallet : result["balances"].getKeys()) {
+ max_balance_length = std::max(result["balances"][wallet].getValStr().length(), max_balance_length);
+ }
+
+ for (const std::string& wallet : result["balances"].getKeys()) {
+ result_string += strprintf("%*s %s\n",
+ max_balance_length,
+ result["balances"][wallet].getValStr(),
+ wallet.empty() ? "\"\"" : wallet);
+ }
+ result_string += "\n";
+ }
+
+ result_string += strprintf("%sWarnings:%s %s", YELLOW, RESET, result["warnings"].getValStr());
+ result.setStr(result_string);
+}
+
+/**
* Call RPC getnewaddress.
* @returns getnewaddress response as a UniValue object.
*/
static UniValue GetNewAddress()
{
- Optional<std::string> wallet_name{};
+ std::optional<std::string> wallet_name{};
if (gArgs.IsArgSet("-rpcwallet")) wallet_name = gArgs.GetArg("-rpcwallet", "");
DefaultRequestHandler rh;
return ConnectAndCallRPC(&rh, "getnewaddress", /* args=*/{}, wallet_name);
@@ -912,6 +1156,8 @@ static int CommandLineRPC(int argc, char *argv[])
} else {
ParseError(error, strPrint, nRet);
}
+ } else if (gArgs.GetBoolArg("-addrinfo", false)) {
+ rh.reset(new AddrinfoRequestHandler());
} else {
rh.reset(new DefaultRequestHandler());
if (args.size() < 1) {
@@ -922,7 +1168,7 @@ static int CommandLineRPC(int argc, char *argv[])
}
if (nRet == 0) {
// Perform RPC call
- Optional<std::string> wallet_name{};
+ std::optional<std::string> wallet_name{};
if (gArgs.IsArgSet("-rpcwallet")) wallet_name = gArgs.GetArg("-rpcwallet", "");
const UniValue reply = ConnectAndCallRPC(rh.get(), method, args, wallet_name);
@@ -930,9 +1176,13 @@ static int CommandLineRPC(int argc, char *argv[])
UniValue result = find_value(reply, "result");
const UniValue& error = find_value(reply, "error");
if (error.isNull()) {
- if (gArgs.IsArgSet("-getinfo") && !gArgs.IsArgSet("-rpcwallet")) {
- GetWalletBalances(result); // fetch multiwallet balances and append to result
+ if (gArgs.GetBoolArg("-getinfo", false)) {
+ if (!gArgs.IsArgSet("-rpcwallet")) {
+ GetWalletBalances(result); // fetch multiwallet balances and append to result
+ }
+ ParseGetInfoResult(result);
}
+
ParseResult(result, strPrint);
} else {
ParseError(error, strPrint, nRet);
diff --git a/src/bitcoin-tx-res.rc b/src/bitcoin-tx-res.rc
index b545ce9dbe..46e4fc9274 100644
--- a/src/bitcoin-tx-res.rc
+++ b/src/bitcoin-tx-res.rc
@@ -2,9 +2,7 @@
#include "clientversion.h" // holds the needed client version information
#define VER_PRODUCTVERSION CLIENT_VERSION_MAJOR,CLIENT_VERSION_MINOR,CLIENT_VERSION_BUILD
-#define VER_PRODUCTVERSION_STR STRINGIZE(CLIENT_VERSION_MAJOR) "." STRINGIZE(CLIENT_VERSION_MINOR) "." STRINGIZE(CLIENT_VERSION_BUILD)
#define VER_FILEVERSION VER_PRODUCTVERSION
-#define VER_FILEVERSION_STR VER_PRODUCTVERSION_STR
VS_VERSION_INFO VERSIONINFO
FILEVERSION VER_FILEVERSION
@@ -18,13 +16,13 @@ BEGIN
BEGIN
VALUE "CompanyName", "Bitcoin"
VALUE "FileDescription", "bitcoin-tx (CLI Bitcoin transaction editor utility)"
- VALUE "FileVersion", VER_FILEVERSION_STR
+ VALUE "FileVersion", PACKAGE_VERSION
VALUE "InternalName", "bitcoin-tx"
VALUE "LegalCopyright", COPYRIGHT_STR
VALUE "LegalTrademarks1", "Distributed under the MIT software license, see the accompanying file COPYING or http://www.opensource.org/licenses/mit-license.php."
VALUE "OriginalFilename", "bitcoin-tx.exe"
VALUE "ProductName", "bitcoin-tx"
- VALUE "ProductVersion", VER_PRODUCTVERSION_STR
+ VALUE "ProductVersion", PACKAGE_VERSION
END
END
diff --git a/src/bitcoin-tx.cpp b/src/bitcoin-tx.cpp
index 321d62fe4d..ec07114d6e 100644
--- a/src/bitcoin-tx.cpp
+++ b/src/bitcoin-tx.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,9 +8,11 @@
#include <clientversion.h>
#include <coins.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
#include <core_io.h>
#include <key_io.h>
+#include <fs.h>
#include <policy/policy.h>
#include <policy/rbf.h>
#include <primitives/transaction.h>
@@ -157,7 +159,7 @@ static void RegisterLoad(const std::string& strInput)
std::string key = strInput.substr(0, pos);
std::string filename = strInput.substr(pos + 1, std::string::npos);
- FILE *f = fopen(filename.c_str(), "r");
+ FILE *f = fsbridge::fopen(filename.c_str(), "r");
if (!f) {
std::string strErr = "Cannot open file " + filename;
throw std::runtime_error(strErr);
@@ -188,10 +190,11 @@ static void RegisterLoad(const std::string& strInput)
static CAmount ExtractAndValidateValue(const std::string& strValue)
{
- CAmount value;
- if (!ParseMoney(strValue, value))
+ if (std::optional<CAmount> parsed = ParseMoney(strValue)) {
+ return parsed.value();
+ } else {
throw std::runtime_error("invalid TX output value");
- return value;
+ }
}
static void MutateTxVersion(CMutableTransaction& tx, const std::string& cmdVal)
@@ -233,6 +236,16 @@ static void MutateTxRBFOptIn(CMutableTransaction& tx, const std::string& strInId
}
}
+template <typename T>
+static T TrimAndParse(const std::string& int_str, const std::string& err)
+{
+ const auto parsed{ToIntegral<T>(TrimString(int_str))};
+ if (!parsed.has_value()) {
+ throw std::runtime_error(err + " '" + int_str + "'");
+ }
+ return parsed.value();
+}
+
static void MutateTxAddInput(CMutableTransaction& tx, const std::string& strInput)
{
std::vector<std::string> vStrInputParts;
@@ -259,8 +272,9 @@ static void MutateTxAddInput(CMutableTransaction& tx, const std::string& strInpu
// extract the optional sequence number
uint32_t nSequenceIn = CTxIn::SEQUENCE_FINAL;
- if (vStrInputParts.size() > 2)
- nSequenceIn = std::stoul(vStrInputParts[2]);
+ if (vStrInputParts.size() > 2) {
+ nSequenceIn = TrimAndParse<uint32_t>(vStrInputParts.at(2), "invalid TX sequence id");
+ }
// append to transaction input list
CTxIn txin(txid, vout, CScript(), nSequenceIn);
@@ -350,10 +364,10 @@ static void MutateTxAddOutMultiSig(CMutableTransaction& tx, const std::string& s
CAmount value = ExtractAndValidateValue(vStrInputParts[0]);
// Extract REQUIRED
- uint32_t required = stoul(vStrInputParts[1]);
+ const uint32_t required{TrimAndParse<uint32_t>(vStrInputParts.at(1), "invalid multisig required number")};
// Extract NUMKEYS
- uint32_t numkeys = stoul(vStrInputParts[2]);
+ const uint32_t numkeys{TrimAndParse<uint32_t>(vStrInputParts.at(2), "invalid multisig total number")};
// Validate there are the correct number of pubkeys
if (vStrInputParts.size() < numkeys + 3)
@@ -420,13 +434,16 @@ static void MutateTxAddOutData(CMutableTransaction& tx, const std::string& strIn
if (pos==0)
throw std::runtime_error("TX output value not specified");
- if (pos != std::string::npos) {
+ if (pos == std::string::npos) {
+ pos = 0;
+ } else {
// Extract and validate VALUE
value = ExtractAndValidateValue(strInput.substr(0, pos));
+ ++pos;
}
// extract and validate DATA
- std::string strData = strInput.substr(pos + 1, std::string::npos);
+ const std::string strData{strInput.substr(pos, std::string::npos)};
if (!IsHex(strData))
throw std::runtime_error("invalid TX output data");
@@ -506,11 +523,12 @@ static void MutateTxDelOutput(CMutableTransaction& tx, const std::string& strOut
tx.vout.erase(tx.vout.begin() + outIdx);
}
-static const unsigned int N_SIGHASH_OPTS = 6;
+static const unsigned int N_SIGHASH_OPTS = 7;
static const struct {
const char *flagStr;
int flags;
} sighashOptions[N_SIGHASH_OPTS] = {
+ {"DEFAULT", SIGHASH_DEFAULT},
{"ALL", SIGHASH_ALL},
{"NONE", SIGHASH_NONE},
{"SINGLE", SIGHASH_SINGLE},
@@ -616,7 +634,7 @@ static void MutateTxSign(CMutableTransaction& tx, const std::string& flagStr)
}
Coin newcoin;
newcoin.out.scriptPubKey = scriptPubKey;
- newcoin.out.nValue = 0;
+ newcoin.out.nValue = MAX_MONEY;
if (prevOut.exists("amount")) {
newcoin.out.nValue = AmountFromValue(prevOut["amount"]);
}
@@ -655,6 +673,10 @@ static void MutateTxSign(CMutableTransaction& tx, const std::string& flagStr)
if (!fHashSingle || (i < mergedTx.vout.size()))
ProduceSignature(keystore, MutableTransactionSignatureCreator(&mergedTx, i, amount, nHashType), prevPubKey, sigdata);
+ if (amount == MAX_MONEY && !sigdata.scriptWitness.IsNull()) {
+ throw std::runtime_error(strprintf("Missing amount for CTxOut with scriptPubKey=%s", HexStr(prevPubKey)));
+ }
+
UpdateInput(txin, sigdata);
}
@@ -770,9 +792,7 @@ static std::string readStdin()
if (ferror(stdin))
throw std::runtime_error("error reading stdin");
- boost::algorithm::trim_right(ret);
-
- return ret;
+ return TrimString(ret);
}
static int CommandLineRawTx(int argc, char* argv[])
diff --git a/src/bitcoin-util-res.rc b/src/bitcoin-util-res.rc
index 3f0fa8ab6d..0de8c5befa 100644
--- a/src/bitcoin-util-res.rc
+++ b/src/bitcoin-util-res.rc
@@ -2,9 +2,7 @@
#include "clientversion.h" // holds the needed client version information
#define VER_PRODUCTVERSION CLIENT_VERSION_MAJOR,CLIENT_VERSION_MINOR,CLIENT_VERSION_BUILD
-#define VER_PRODUCTVERSION_STR STRINGIZE(CLIENT_VERSION_MAJOR) "." STRINGIZE(CLIENT_VERSION_MINOR) "." STRINGIZE(CLIENT_VERSION_BUILD)
#define VER_FILEVERSION VER_PRODUCTVERSION
-#define VER_FILEVERSION_STR VER_PRODUCTVERSION_STR
VS_VERSION_INFO VERSIONINFO
FILEVERSION VER_FILEVERSION
@@ -18,13 +16,13 @@ BEGIN
BEGIN
VALUE "CompanyName", "Bitcoin"
VALUE "FileDescription", "bitcoin-util (CLI Bitcoin utility)"
- VALUE "FileVersion", VER_FILEVERSION_STR
+ VALUE "FileVersion", PACKAGE_VERSION
VALUE "InternalName", "bitcoin-util"
VALUE "LegalCopyright", COPYRIGHT_STR
VALUE "LegalTrademarks1", "Distributed under the MIT software license, see the accompanying file COPYING or http://www.opensource.org/licenses/mit-license.php."
VALUE "OriginalFilename", "bitcoin-util.exe"
VALUE "ProductName", "bitcoin-util"
- VALUE "ProductVersion", VER_PRODUCTVERSION_STR
+ VALUE "ProductVersion", PACKAGE_VERSION
END
END
diff --git a/src/bitcoin-util.cpp b/src/bitcoin-util.cpp
index af07b28d3d..973f4f2883 100644
--- a/src/bitcoin-util.cpp
+++ b/src/bitcoin-util.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,28 +7,19 @@
#endif
#include <arith_uint256.h>
+#include <chain.h>
+#include <chainparams.h>
+#include <chainparamsbase.h>
#include <clientversion.h>
-#include <coins.h>
-#include <consensus/consensus.h>
#include <core_io.h>
-#include <key_io.h>
-#include <policy/rbf.h>
-#include <primitives/transaction.h>
-#include <script/script.h>
-#include <script/sign.h>
-#include <script/signingprovider.h>
-#include <univalue.h>
-#include <util/moneystr.h>
-#include <util/rbf.h>
-#include <util/strencodings.h>
-#include <util/string.h>
+#include <streams.h>
#include <util/system.h>
#include <util/translation.h>
#include <atomic>
+#include <cstdio>
#include <functional>
#include <memory>
-#include <stdio.h>
#include <thread>
#include <boost/algorithm/string.hpp>
@@ -43,35 +34,29 @@ static void SetupBitcoinUtilArgs(ArgsManager &argsman)
argsman.AddArg("-version", "Print version and exit", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddCommand("grind", "Perform proof of work on hex header string");
+
SetupChainParamsBaseOptions(argsman);
}
// This function returns either one of EXIT_ codes when it's expected to stop the process or
// CONTINUE_EXECUTION when it's expected to continue further.
-static int AppInitUtil(int argc, char* argv[])
+static int AppInitUtil(ArgsManager& args, int argc, char* argv[])
{
- SetupBitcoinUtilArgs(gArgs);
+ SetupBitcoinUtilArgs(args);
std::string error;
- if (!gArgs.ParseParameters(argc, argv, error)) {
+ if (!args.ParseParameters(argc, argv, error)) {
tfm::format(std::cerr, "Error parsing command line arguments: %s\n", error);
return EXIT_FAILURE;
}
- // Check for chain settings (Params() calls are only valid after this clause)
- try {
- SelectParams(gArgs.GetChainName());
- } catch (const std::exception& e) {
- tfm::format(std::cerr, "Error: %s\n", e.what());
- return EXIT_FAILURE;
- }
-
- if (argc < 2 || HelpRequested(gArgs) || gArgs.IsArgSet("-version")) {
+ if (HelpRequested(args) || args.IsArgSet("-version")) {
// First part of help message is specific to this utility
std::string strUsage = PACKAGE_NAME " bitcoin-util utility version " + FormatFullVersion() + "\n";
- if (!gArgs.IsArgSet("-version")) {
+ if (!args.IsArgSet("-version")) {
strUsage += "\n"
"Usage: bitcoin-util [options] [commands] Do stuff\n";
- strUsage += "\n" + gArgs.GetHelpMessage();
+ strUsage += "\n" + args.GetHelpMessage();
}
tfm::format(std::cout, "%s", strUsage);
@@ -82,6 +67,15 @@ static int AppInitUtil(int argc, char* argv[])
}
return EXIT_SUCCESS;
}
+
+ // Check for chain settings (Params() calls are only valid after this clause)
+ try {
+ SelectParams(args.GetChainName());
+ } catch (const std::exception& e) {
+ tfm::format(std::cerr, "Error: %s\n", e.what());
+ return EXIT_FAILURE;
+ }
+
return CONTINUE_EXECUTION;
}
@@ -111,17 +105,17 @@ static void grind_task(uint32_t nBits, CBlockHeader& header_orig, uint32_t offse
}
}
-static int Grind(int argc, char* argv[], std::string& strPrint)
+static int Grind(const std::vector<std::string>& args, std::string& strPrint)
{
- if (argc != 1) {
+ if (args.size() != 1) {
strPrint = "Must specify block header to grind";
- return 1;
+ return EXIT_FAILURE;
}
CBlockHeader header;
- if (!DecodeHexBlockHeader(header, argv[0])) {
+ if (!DecodeHexBlockHeader(header, args[0])) {
strPrint = "Could not decode block header";
- return 1;
+ return EXIT_FAILURE;
}
uint32_t nBits = header.nBits;
@@ -137,49 +131,13 @@ static int Grind(int argc, char* argv[], std::string& strPrint)
}
if (!found) {
strPrint = "Could not satisfy difficulty target";
- return 1;
+ return EXIT_FAILURE;
}
CDataStream ss(SER_NETWORK, PROTOCOL_VERSION);
ss << header;
strPrint = HexStr(ss);
- return 0;
-}
-
-static int CommandLineUtil(int argc, char* argv[])
-{
- if (argc <= 1) return 1;
-
- std::string strPrint;
- int nRet = 0;
-
- try {
- while (argc > 1 && IsSwitchChar(argv[1][0]) && (argv[1][1] != 0)) {
- --argc;
- ++argv;
- }
-
- char* command = argv[1];
- if (strcmp(command, "grind") == 0) {
- nRet = Grind(argc-2, argv+2, strPrint);
- } else {
- strPrint = strprintf("Unknown command %s", command);
- nRet = 1;
- }
- }
- catch (const std::exception& e) {
- strPrint = std::string("error: ") + e.what();
- nRet = EXIT_FAILURE;
- }
- catch (...) {
- PrintExceptionContinue(nullptr, "CommandLineUtil()");
- throw;
- }
-
- if (strPrint != "") {
- tfm::format(nRet == 0 ? std::cout : std::cerr, "%s\n", strPrint);
- }
- return nRet;
+ return EXIT_SUCCESS;
}
#ifdef WIN32
@@ -193,14 +151,15 @@ __declspec(dllexport) int main(int argc, char* argv[])
int main(int argc, char* argv[])
#endif
{
+ ArgsManager& args = gArgs;
SetupEnvironment();
try {
- int ret = AppInitUtil(argc, argv);
- if (ret != CONTINUE_EXECUTION)
+ int ret = AppInitUtil(args, argc, argv);
+ if (ret != CONTINUE_EXECUTION) {
return ret;
- }
- catch (const std::exception& e) {
+ }
+ } catch (const std::exception& e) {
PrintExceptionContinue(&e, "AppInitUtil()");
return EXIT_FAILURE;
} catch (...) {
@@ -208,14 +167,29 @@ int main(int argc, char* argv[])
return EXIT_FAILURE;
}
+ const auto cmd = args.GetCommand();
+ if (!cmd) {
+ tfm::format(std::cerr, "Error: must specify a command\n");
+ return EXIT_FAILURE;
+ }
+
int ret = EXIT_FAILURE;
+ std::string strPrint;
try {
- ret = CommandLineUtil(argc, argv);
- }
- catch (const std::exception& e) {
- PrintExceptionContinue(&e, "CommandLineUtil()");
+ if (cmd->command == "grind") {
+ ret = Grind(cmd->args, strPrint);
+ } else {
+ assert(false); // unknown command should be caught earlier
+ }
+ } catch (const std::exception& e) {
+ strPrint = std::string("error: ") + e.what();
} catch (...) {
- PrintExceptionContinue(nullptr, "CommandLineUtil()");
+ strPrint = "unknown error";
+ }
+
+ if (strPrint != "") {
+ tfm::format(ret == 0 ? std::cout : std::cerr, "%s\n", strPrint);
}
+
return ret;
}
diff --git a/src/bitcoin-wallet-res.rc b/src/bitcoin-wallet-res.rc
index 59346ab8f6..d86ffbd9f1 100644
--- a/src/bitcoin-wallet-res.rc
+++ b/src/bitcoin-wallet-res.rc
@@ -2,9 +2,7 @@
#include "clientversion.h" // holds the needed client version information
#define VER_PRODUCTVERSION CLIENT_VERSION_MAJOR,CLIENT_VERSION_MINOR,CLIENT_VERSION_BUILD
-#define VER_PRODUCTVERSION_STR STRINGIZE(CLIENT_VERSION_MAJOR) "." STRINGIZE(CLIENT_VERSION_MINOR) "." STRINGIZE(CLIENT_VERSION_BUILD)
#define VER_FILEVERSION VER_PRODUCTVERSION
-#define VER_FILEVERSION_STR VER_PRODUCTVERSION_STR
VS_VERSION_INFO VERSIONINFO
FILEVERSION VER_FILEVERSION
@@ -18,13 +16,13 @@ BEGIN
BEGIN
VALUE "CompanyName", "Bitcoin"
VALUE "FileDescription", "bitcoin-wallet (CLI tool for " PACKAGE_NAME " wallets)"
- VALUE "FileVersion", VER_FILEVERSION_STR
+ VALUE "FileVersion", PACKAGE_VERSION
VALUE "InternalName", "bitcoin-wallet"
VALUE "LegalCopyright", COPYRIGHT_STR
VALUE "LegalTrademarks1", "Distributed under the MIT software license, see the accompanying file COPYING or http://www.opensource.org/licenses/mit-license.php."
VALUE "OriginalFilename", "bitcoin-wallet.exe"
VALUE "ProductName", "bitcoin-wallet"
- VALUE "ProductVersion", VER_PRODUCTVERSION_STR
+ VALUE "ProductVersion", PACKAGE_VERSION
END
END
diff --git a/src/bitcoin-wallet.cpp b/src/bitcoin-wallet.cpp
index b84d909b07..65c37f182f 100644
--- a/src/bitcoin-wallet.cpp
+++ b/src/bitcoin-wallet.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,13 +8,21 @@
#include <chainparams.h>
#include <chainparamsbase.h>
+#include <clientversion.h>
+#include <interfaces/init.h>
+#include <key.h>
#include <logging.h>
+#include <pubkey.h>
+#include <tinyformat.h>
#include <util/system.h>
#include <util/translation.h>
#include <util/url.h>
#include <wallet/wallettool.h>
+#include <exception>
#include <functional>
+#include <string>
+#include <tuple>
const std::function<std::string(const char*)> G_TRANSLATION_FUN = nullptr;
UrlDecodeFn* const URL_DECODE = nullptr;
@@ -27,17 +35,18 @@ static void SetupWalletToolArgs(ArgsManager& argsman)
argsman.AddArg("-version", "Print version and exit", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-datadir=<dir>", "Specify data directory", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-wallet=<wallet-name>", "Specify wallet name", ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::OPTIONS);
- argsman.AddArg("-dumpfile=<file name>", "When used with 'dump', writes out the records to this file. When used with 'createfromdump', loads the records into a new wallet.", ArgsManager::ALLOW_STRING, OptionsCategory::OPTIONS);
+ argsman.AddArg("-dumpfile=<file name>", "When used with 'dump', writes out the records to this file. When used with 'createfromdump', loads the records into a new wallet.", ArgsManager::ALLOW_ANY | ArgsManager::DISALLOW_NEGATION, OptionsCategory::OPTIONS);
argsman.AddArg("-debug=<category>", "Output debugging information (default: 0).", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-descriptors", "Create descriptors wallet. Only for 'create'", ArgsManager::ALLOW_BOOL, OptionsCategory::OPTIONS);
+ argsman.AddArg("-descriptors", "Create descriptors wallet. Only for 'create'", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-legacy", "Create legacy wallet. Only for 'create'", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-format=<format>", "The format of the wallet file to create. Either \"bdb\" or \"sqlite\". Only used with 'createfromdump'", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-printtoconsole", "Send trace/debug info to console (default: 1 when no -debug is true, 0 otherwise).", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddCommand("info", "Get wallet info", OptionsCategory::COMMANDS);
- argsman.AddCommand("create", "Create new wallet file", OptionsCategory::COMMANDS);
- argsman.AddCommand("salvage", "Attempt to recover private keys from a corrupt wallet. Warning: 'salvage' is experimental.", OptionsCategory::COMMANDS);
- argsman.AddCommand("dump", "Print out all of the wallet key-value records", OptionsCategory::COMMANDS);
- argsman.AddCommand("createfromdump", "Create new wallet file from dumped records", OptionsCategory::COMMANDS);
+ argsman.AddCommand("info", "Get wallet info");
+ argsman.AddCommand("create", "Create new wallet file");
+ argsman.AddCommand("salvage", "Attempt to recover private keys from a corrupt wallet. Warning: 'salvage' is experimental.");
+ argsman.AddCommand("dump", "Print out all of the wallet key-value records");
+ argsman.AddCommand("createfromdump", "Create new wallet file from dumped records");
}
static bool WalletAppInit(ArgsManager& args, int argc, char* argv[])
@@ -83,6 +92,13 @@ int main(int argc, char* argv[])
util::WinCmdLineArgs winArgs;
std::tie(argc, argv) = winArgs.get();
#endif
+
+ int exit_status;
+ std::unique_ptr<interfaces::Init> init = interfaces::MakeWalletInit(argc, argv, exit_status);
+ if (!init) {
+ return exit_status;
+ }
+
SetupEnvironment();
RandomInit();
try {
@@ -107,7 +123,7 @@ int main(int argc, char* argv[])
ECCVerifyHandle globalVerifyHandle;
ECC_Start();
- if (!WalletTool::ExecuteWalletToolFunc(args, command->command)) {
+ if (!wallet::WalletTool::ExecuteWalletToolFunc(args, command->command)) {
return EXIT_FAILURE;
}
ECC_Stop();
diff --git a/src/bitcoind-res.rc b/src/bitcoind-res.rc
index a98b50c899..353761dfa7 100644
--- a/src/bitcoind-res.rc
+++ b/src/bitcoind-res.rc
@@ -2,9 +2,7 @@
#include "clientversion.h" // holds the needed client version information
#define VER_PRODUCTVERSION CLIENT_VERSION_MAJOR,CLIENT_VERSION_MINOR,CLIENT_VERSION_BUILD
-#define VER_PRODUCTVERSION_STR STRINGIZE(CLIENT_VERSION_MAJOR) "." STRINGIZE(CLIENT_VERSION_MINOR) "." STRINGIZE(CLIENT_VERSION_BUILD)
#define VER_FILEVERSION VER_PRODUCTVERSION
-#define VER_FILEVERSION_STR VER_PRODUCTVERSION_STR
VS_VERSION_INFO VERSIONINFO
FILEVERSION VER_FILEVERSION
@@ -18,13 +16,13 @@ BEGIN
BEGIN
VALUE "CompanyName", "Bitcoin"
VALUE "FileDescription", "bitcoind (Bitcoin node with a JSON-RPC server)"
- VALUE "FileVersion", VER_FILEVERSION_STR
+ VALUE "FileVersion", PACKAGE_VERSION
VALUE "InternalName", "bitcoind"
VALUE "LegalCopyright", COPYRIGHT_STR
VALUE "LegalTrademarks1", "Distributed under the MIT software license, see the accompanying file COPYING or http://www.opensource.org/licenses/mit-license.php."
VALUE "OriginalFilename", "bitcoind.exe"
VALUE "ProductName", "bitcoind"
- VALUE "ProductVersion", VER_PRODUCTVERSION_STR
+ VALUE "ProductVersion", PACKAGE_VERSION
END
END
diff --git a/src/bitcoind.cpp b/src/bitcoind.cpp
index b7bcb534ef..6432e8849d 100644
--- a/src/bitcoind.cpp
+++ b/src/bitcoind.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,33 +12,111 @@
#include <compat.h>
#include <init.h>
#include <interfaces/chain.h>
+#include <interfaces/init.h>
#include <node/context.h>
#include <node/ui_interface.h>
#include <noui.h>
#include <shutdown.h>
-#include <util/ref.h>
+#include <util/check.h>
#include <util/strencodings.h>
+#include <util/syscall_sandbox.h>
#include <util/system.h>
#include <util/threadnames.h>
+#include <util/tokenpipe.h>
#include <util/translation.h>
#include <util/url.h>
+#include <any>
#include <functional>
+#include <optional>
+
+using node::NodeContext;
const std::function<std::string(const char*)> G_TRANSLATION_FUN = nullptr;
UrlDecodeFn* const URL_DECODE = urlDecode;
-static bool AppInit(int argc, char* argv[])
+#if HAVE_DECL_FORK
+
+/** Custom implementation of daemon(). This implements the same order of operations as glibc.
+ * Opens a pipe to the child process to be able to wait for an event to occur.
+ *
+ * @returns 0 if successful, and in child process.
+ * >0 if successful, and in parent process.
+ * -1 in case of error (in parent process).
+ *
+ * In case of success, endpoint will be one end of a pipe from the child to parent process,
+ * which can be used with TokenWrite (in the child) or TokenRead (in the parent).
+ */
+int fork_daemon(bool nochdir, bool noclose, TokenPipeEnd& endpoint)
{
- NodeContext node;
+ // communication pipe with child process
+ std::optional<TokenPipe> umbilical = TokenPipe::Make();
+ if (!umbilical) {
+ return -1; // pipe or pipe2 failed.
+ }
+ int pid = fork();
+ if (pid < 0) {
+ return -1; // fork failed.
+ }
+ if (pid != 0) {
+ // Parent process gets read end, closes write end.
+ endpoint = umbilical->TakeReadEnd();
+ umbilical->TakeWriteEnd().Close();
+
+ int status = endpoint.TokenRead();
+ if (status != 0) { // Something went wrong while setting up child process.
+ endpoint.Close();
+ return -1;
+ }
+
+ return pid;
+ }
+ // Child process gets write end, closes read end.
+ endpoint = umbilical->TakeWriteEnd();
+ umbilical->TakeReadEnd().Close();
+
+#if HAVE_DECL_SETSID
+ if (setsid() < 0) {
+ exit(1); // setsid failed.
+ }
+#endif
+
+ if (!nochdir) {
+ if (chdir("/") != 0) {
+ exit(1); // chdir failed.
+ }
+ }
+ if (!noclose) {
+ // Open /dev/null, and clone it into STDIN, STDOUT and STDERR to detach
+ // from terminal.
+ int fd = open("/dev/null", O_RDWR);
+ if (fd >= 0) {
+ bool err = dup2(fd, STDIN_FILENO) < 0 || dup2(fd, STDOUT_FILENO) < 0 || dup2(fd, STDERR_FILENO) < 0;
+ // Don't close if fd<=2 to try to handle the case where the program was invoked without any file descriptors open.
+ if (fd > 2) close(fd);
+ if (err) {
+ exit(1); // dup2 failed.
+ }
+ } else {
+ exit(1); // open /dev/null failed.
+ }
+ }
+ endpoint.TokenWrite(0); // Success
+ return 0;
+}
+
+#endif
+
+static bool AppInit(NodeContext& node, int argc, char* argv[])
+{
bool fRet = false;
util::ThreadSetInternalName("init");
// If Qt is used, parameters/bitcoin.conf are parsed in qt/bitcoin.cpp's main()
- SetupServerArgs(node);
ArgsManager& args = *Assert(node.args);
+ SetupServerArgs(args);
std::string error;
if (!args.ParseParameters(argc, argv, error)) {
return InitError(Untranslated(strprintf("Error parsing command line arguments: %s\n", error)));
@@ -59,7 +137,15 @@ static bool AppInit(int argc, char* argv[])
return true;
}
- util::Ref context{node};
+#if HAVE_DECL_FORK
+ // Communication with parent after daemonizing. This is used for signalling in the following ways:
+ // - a boolean token is sent when the initialization process (all the Init* functions) have finished to indicate
+ // that the parent process can quit, and whether it was successful/unsuccessful.
+ // - an unexpected shutdown of the child process creates an unexpected end of stream at the parent
+ // end, which is interpreted as failure to start.
+ TokenPipeEnd daemon_ep;
+#endif
+ std::any context{&node};
try
{
if (!CheckDataDirOption()) {
@@ -105,24 +191,34 @@ static bool AppInit(int argc, char* argv[])
// InitError will have been called with detailed error, which ends up on console
return false;
}
- if (args.GetBoolArg("-daemon", false)) {
-#if HAVE_DECL_DAEMON
-#if defined(MAC_OSX)
-#pragma GCC diagnostic push
-#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
-#endif
+ if (args.GetBoolArg("-daemon", DEFAULT_DAEMON) || args.GetBoolArg("-daemonwait", DEFAULT_DAEMONWAIT)) {
+#if HAVE_DECL_FORK
tfm::format(std::cout, PACKAGE_NAME " starting\n");
// Daemonize
- if (daemon(1, 0)) { // don't chdir (1), do close FDs (0)
- return InitError(Untranslated(strprintf("daemon() failed: %s\n", strerror(errno))));
+ switch (fork_daemon(1, 0, daemon_ep)) { // don't chdir (1), do close FDs (0)
+ case 0: // Child: continue.
+ // If -daemonwait is not enabled, immediately send a success token the parent.
+ if (!args.GetBoolArg("-daemonwait", DEFAULT_DAEMONWAIT)) {
+ daemon_ep.TokenWrite(1);
+ daemon_ep.Close();
+ }
+ break;
+ case -1: // Error happened.
+ return InitError(Untranslated(strprintf("fork_daemon() failed: %s\n", strerror(errno))));
+ default: { // Parent: wait and exit.
+ int token = daemon_ep.TokenRead();
+ if (token) { // Success
+ exit(EXIT_SUCCESS);
+ } else { // fRet = false or token read error (premature exit).
+ tfm::format(std::cerr, "Error during initializaton - check debug.log for details\n");
+ exit(EXIT_FAILURE);
+ }
+ }
}
-#if defined(MAC_OSX)
-#pragma GCC diagnostic pop
-#endif
#else
return InitError(Untranslated("-daemon is not supported on this operating system\n"));
-#endif // HAVE_DECL_DAEMON
+#endif // HAVE_DECL_FORK
}
// Lock data directory after daemonization
if (!AppInitLockDataDirectory())
@@ -130,7 +226,7 @@ static bool AppInit(int argc, char* argv[])
// If locking the data directory failed, exit immediately
return false;
}
- fRet = AppInitInterfaces(node) && AppInitMain(context, node);
+ fRet = AppInitInterfaces(node) && AppInitMain(node);
}
catch (const std::exception& e) {
PrintExceptionContinue(&e, "AppInit()");
@@ -138,6 +234,14 @@ static bool AppInit(int argc, char* argv[])
PrintExceptionContinue(nullptr, "AppInit()");
}
+#if HAVE_DECL_FORK
+ if (daemon_ep.IsOpen()) {
+ // Signal initialization status to parent, then close pipe.
+ daemon_ep.TokenWrite(fRet);
+ daemon_ep.Close();
+ }
+#endif
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::SHUTOFF);
if (fRet) {
WaitForShutdown();
}
@@ -153,10 +257,18 @@ int main(int argc, char* argv[])
util::WinCmdLineArgs winArgs;
std::tie(argc, argv) = winArgs.get();
#endif
+
+ NodeContext node;
+ int exit_status;
+ std::unique_ptr<interfaces::Init> init = interfaces::MakeNodeInit(node, argc, argv, exit_status);
+ if (!init) {
+ return exit_status;
+ }
+
SetupEnvironment();
// Connect bitcoind signal handlers
noui_connect();
- return (AppInit(argc, argv) ? EXIT_SUCCESS : EXIT_FAILURE);
+ return (AppInit(node, argc, argv) ? EXIT_SUCCESS : EXIT_FAILURE);
}
diff --git a/src/blockfilter.cpp b/src/blockfilter.cpp
index 41fa0b6fa0..63a9ba498f 100644
--- a/src/blockfilter.cpp
+++ b/src/blockfilter.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -24,43 +24,12 @@ static const std::map<BlockFilterType, std::string> g_filter_types = {
{BlockFilterType::BASIC, "basic"},
};
-// Map a value x that is uniformly distributed in the range [0, 2^64) to a
-// value uniformly distributed in [0, n) by returning the upper 64 bits of
-// x * n.
-//
-// See: https://lemire.me/blog/2016/06/27/a-fast-alternative-to-the-modulo-reduction/
-static uint64_t MapIntoRange(uint64_t x, uint64_t n)
-{
-#ifdef __SIZEOF_INT128__
- return (static_cast<unsigned __int128>(x) * static_cast<unsigned __int128>(n)) >> 64;
-#else
- // To perform the calculation on 64-bit numbers without losing the
- // result to overflow, split the numbers into the most significant and
- // least significant 32 bits and perform multiplication piece-wise.
- //
- // See: https://stackoverflow.com/a/26855440
- uint64_t x_hi = x >> 32;
- uint64_t x_lo = x & 0xFFFFFFFF;
- uint64_t n_hi = n >> 32;
- uint64_t n_lo = n & 0xFFFFFFFF;
-
- uint64_t ac = x_hi * n_hi;
- uint64_t ad = x_hi * n_lo;
- uint64_t bc = x_lo * n_hi;
- uint64_t bd = x_lo * n_lo;
-
- uint64_t mid34 = (bd >> 32) + (bc & 0xFFFFFFFF) + (ad & 0xFFFFFFFF);
- uint64_t upper64 = ac + (bc >> 32) + (ad >> 32) + (mid34 >> 32);
- return upper64;
-#endif
-}
-
uint64_t GCSFilter::HashToRange(const Element& element) const
{
uint64_t hash = CSipHasher(m_params.m_siphash_k0, m_params.m_siphash_k1)
.Write(element.data(), element.size())
.Finalize();
- return MapIntoRange(hash, m_F);
+ return FastRange64(hash, m_F);
}
std::vector<uint64_t> GCSFilter::BuildHashedSet(const ElementSet& elements) const
@@ -81,7 +50,7 @@ GCSFilter::GCSFilter(const Params& params)
GCSFilter::GCSFilter(const Params& params, std::vector<unsigned char> encoded_filter)
: m_params(params), m_encoded(std::move(encoded_filter))
{
- VectorReader stream(GCS_SER_TYPE, GCS_SER_VERSION, m_encoded, 0);
+ SpanReader stream{GCS_SER_TYPE, GCS_SER_VERSION, m_encoded};
uint64_t N = ReadCompactSize(stream);
m_N = static_cast<uint32_t>(N);
@@ -92,7 +61,7 @@ GCSFilter::GCSFilter(const Params& params, std::vector<unsigned char> encoded_fi
// Verify that the encoded filter contains exactly N elements. If it has too much or too little
// data, a std::ios_base::failure exception will be raised.
- BitStreamReader<VectorReader> bitreader(stream);
+ BitStreamReader<SpanReader> bitreader{stream};
for (uint64_t i = 0; i < m_N; ++i) {
GolombRiceDecode(bitreader, m_params.m_P);
}
@@ -133,13 +102,13 @@ GCSFilter::GCSFilter(const Params& params, const ElementSet& elements)
bool GCSFilter::MatchInternal(const uint64_t* element_hashes, size_t size) const
{
- VectorReader stream(GCS_SER_TYPE, GCS_SER_VERSION, m_encoded, 0);
+ SpanReader stream{GCS_SER_TYPE, GCS_SER_VERSION, m_encoded};
// Seek forward by size of N
uint64_t N = ReadCompactSize(stream);
assert(N == m_N);
- BitStreamReader<VectorReader> bitreader(stream);
+ BitStreamReader<SpanReader> bitreader{stream};
uint64_t value = 0;
size_t hashes_index = 0;
diff --git a/src/chain.cpp b/src/chain.cpp
index c09113a866..b8158f7b0b 100644
--- a/src/chain.cpp
+++ b/src/chain.cpp
@@ -4,10 +4,13 @@
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chain.h>
+#include <util/time.h>
+
+std::string CBlockFileInfo::ToString() const
+{
+ return strprintf("CBlockFileInfo(blocks=%u, size=%u, heights=%u...%u, time=%s...%s)", nBlocks, nSize, nHeightFirst, nHeightLast, FormatISO8601Date(nTimeFirst), FormatISO8601Date(nTimeLast));
+}
-/**
- * CChain implementation
- */
void CChain::SetTip(CBlockIndex *pindex) {
if (pindex == nullptr) {
vChain.clear();
@@ -148,7 +151,7 @@ int64_t GetBlockProofEquivalentTime(const CBlockIndex& to, const CBlockIndex& fr
if (r.bits() > 63) {
return sign * std::numeric_limits<int64_t>::max();
}
- return sign * r.GetLow64();
+ return sign * int64_t(r.GetLow64());
}
/** Find the last common ancestor two blocks have.
diff --git a/src/chain.h b/src/chain.h
index 04a5db5a17..24b5026aba 100644
--- a/src/chain.h
+++ b/src/chain.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,7 @@
#include <consensus/params.h>
#include <flatfile.h>
#include <primitives/block.h>
+#include <sync.h>
#include <tinyformat.h>
#include <uint256.h>
@@ -37,6 +38,8 @@ static constexpr int64_t TIMESTAMP_WINDOW = MAX_FUTURE_BLOCK_TIME;
*/
static constexpr int64_t MAX_BLOCK_TIME_GAP = 90 * 60;
+extern RecursiveMutex cs_main;
+
class CBlockFileInfo
{
public:
@@ -59,37 +62,40 @@ public:
READWRITE(VARINT(obj.nTimeLast));
}
- void SetNull() {
- nBlocks = 0;
- nSize = 0;
- nUndoSize = 0;
- nHeightFirst = 0;
- nHeightLast = 0;
- nTimeFirst = 0;
- nTimeLast = 0;
- }
-
- CBlockFileInfo() {
- SetNull();
- }
-
- std::string ToString() const;
-
- /** update statistics (does not update nSize) */
- void AddBlock(unsigned int nHeightIn, uint64_t nTimeIn) {
- if (nBlocks==0 || nHeightFirst > nHeightIn)
- nHeightFirst = nHeightIn;
- if (nBlocks==0 || nTimeFirst > nTimeIn)
- nTimeFirst = nTimeIn;
- nBlocks++;
- if (nHeightIn > nHeightLast)
- nHeightLast = nHeightIn;
- if (nTimeIn > nTimeLast)
- nTimeLast = nTimeIn;
- }
+ void SetNull()
+ {
+ nBlocks = 0;
+ nSize = 0;
+ nUndoSize = 0;
+ nHeightFirst = 0;
+ nHeightLast = 0;
+ nTimeFirst = 0;
+ nTimeLast = 0;
+ }
+
+ CBlockFileInfo()
+ {
+ SetNull();
+ }
+
+ std::string ToString() const;
+
+ /** update statistics (does not update nSize) */
+ void AddBlock(unsigned int nHeightIn, uint64_t nTimeIn)
+ {
+ if (nBlocks == 0 || nHeightFirst > nHeightIn)
+ nHeightFirst = nHeightIn;
+ if (nBlocks == 0 || nTimeFirst > nTimeIn)
+ nTimeFirst = nTimeIn;
+ nBlocks++;
+ if (nHeightIn > nHeightLast)
+ nHeightLast = nHeightIn;
+ if (nTimeIn > nTimeLast)
+ nTimeLast = nTimeIn;
+ }
};
-enum BlockStatus: uint32_t {
+enum BlockStatus : uint32_t {
//! Unused.
BLOCK_VALID_UNKNOWN = 0,
@@ -126,7 +132,15 @@ enum BlockStatus: uint32_t {
BLOCK_FAILED_CHILD = 64, //!< descends from failed block
BLOCK_FAILED_MASK = BLOCK_FAILED_VALID | BLOCK_FAILED_CHILD,
- BLOCK_OPT_WITNESS = 128, //!< block data in blk*.data was received with a witness-enforcing client
+ BLOCK_OPT_WITNESS = 128, //!< block data in blk*.dat was received with a witness-enforcing client
+
+ /**
+ * If set, this indicates that the block index entry is assumed-valid.
+ * Certain diagnostics will be skipped in e.g. CheckBlockIndex().
+ * It almost certainly means that the block's full validation is pending
+ * on a background chainstate. See `doc/assumeutxo.md`.
+ */
+ BLOCK_ASSUMED_VALID = 256,
};
/** The block chain is a tree shaped structure starting with the
@@ -150,13 +164,13 @@ public:
int nHeight{0};
//! Which # file this block is stored in (blk?????.dat)
- int nFile{0};
+ int nFile GUARDED_BY(::cs_main){0};
//! Byte offset within blk?????.dat where this block's data is stored
- unsigned int nDataPos{0};
+ unsigned int nDataPos GUARDED_BY(::cs_main){0};
//! Byte offset within rev?????.dat where this block's undo data is stored
- unsigned int nUndoPos{0};
+ unsigned int nUndoPos GUARDED_BY(::cs_main){0};
//! (memory only) Total amount of work (expected number of hashes) in the chain up to and including this block
arith_uint256 nChainWork{};
@@ -170,7 +184,7 @@ public:
//! (memory only) Number of transactions in the chain up to and including this block.
//! This value will be non-zero only if and only if transactions for this block and all its parents are available.
- //! Change to 64-bit type when necessary; won't happen before 2030
+ //! Change to 64-bit type before 2024 (assuming worst case of 60 byte transactions).
//!
//! Note: this value is faked during use of a UTXO snapshot because we don't
//! have the underlying block data available during snapshot load.
@@ -182,9 +196,9 @@ public:
//!
//! Note: this value is modified to show BLOCK_OPT_WITNESS during UTXO snapshot
//! load to avoid the block index being spuriously rewound.
- //! @sa RewindBlockIndex
+ //! @sa NeedsRedownload
//! @sa ActivateSnapshot
- uint32_t nStatus{0};
+ uint32_t nStatus GUARDED_BY(::cs_main){0};
//! block header
int32_t nVersion{0};
@@ -212,20 +226,24 @@ public:
{
}
- FlatFilePos GetBlockPos() const {
+ FlatFilePos GetBlockPos() const EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
+ {
+ AssertLockHeld(::cs_main);
FlatFilePos ret;
if (nStatus & BLOCK_HAVE_DATA) {
ret.nFile = nFile;
- ret.nPos = nDataPos;
+ ret.nPos = nDataPos;
}
return ret;
}
- FlatFilePos GetUndoPos() const {
+ FlatFilePos GetUndoPos() const EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
+ {
+ AssertLockHeld(::cs_main);
FlatFilePos ret;
if (nStatus & BLOCK_HAVE_UNDO) {
ret.nFile = nFile;
- ret.nPos = nUndoPos;
+ ret.nPos = nUndoPos;
}
return ret;
}
@@ -233,13 +251,13 @@ public:
CBlockHeader GetBlockHeader() const
{
CBlockHeader block;
- block.nVersion = nVersion;
+ block.nVersion = nVersion;
if (pprev)
block.hashPrevBlock = pprev->GetBlockHash();
block.hashMerkleRoot = hashMerkleRoot;
- block.nTime = nTime;
- block.nBits = nBits;
- block.nNonce = nNonce;
+ block.nTime = nTime;
+ block.nBits = nBits;
+ block.nNonce = nNonce;
return block;
}
@@ -280,7 +298,7 @@ public:
*(--pbegin) = pindex->GetBlockTime();
std::sort(pbegin, pend);
- return pbegin[(pend - pbegin)/2];
+ return pbegin[(pend - pbegin) / 2];
}
std::string ToString() const
@@ -293,21 +311,38 @@ public:
//! Check whether this block index entry is valid up to the passed validity level.
bool IsValid(enum BlockStatus nUpTo = BLOCK_VALID_TRANSACTIONS) const
+ EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
assert(!(nUpTo & ~BLOCK_VALID_MASK)); // Only validity flags allowed.
if (nStatus & BLOCK_FAILED_MASK)
return false;
return ((nStatus & BLOCK_VALID_MASK) >= nUpTo);
}
+ //! @returns true if the block is assumed-valid; this means it is queued to be
+ //! validated by a background chainstate.
+ bool IsAssumedValid() const EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
+ {
+ AssertLockHeld(::cs_main);
+ return nStatus & BLOCK_ASSUMED_VALID;
+ }
+
//! Raise the validity level of this block index entry.
//! Returns true if the validity was changed.
- bool RaiseValidity(enum BlockStatus nUpTo)
+ bool RaiseValidity(enum BlockStatus nUpTo) EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
assert(!(nUpTo & ~BLOCK_VALID_MASK)); // Only validity flags allowed.
- if (nStatus & BLOCK_FAILED_MASK)
- return false;
+ if (nStatus & BLOCK_FAILED_MASK) return false;
+
if ((nStatus & BLOCK_VALID_MASK) < nUpTo) {
+ // If this block had been marked assumed-valid and we're raising
+ // its validity to a certain point, there is no longer an assumption.
+ if (nStatus & BLOCK_ASSUMED_VALID && nUpTo >= BLOCK_VALID_SCRIPTS) {
+ nStatus &= ~BLOCK_ASSUMED_VALID;
+ }
+
nStatus = (nStatus & ~BLOCK_VALID_MASK) | nUpTo;
return true;
}
@@ -335,16 +370,19 @@ class CDiskBlockIndex : public CBlockIndex
public:
uint256 hashPrev;
- CDiskBlockIndex() {
+ CDiskBlockIndex()
+ {
hashPrev = uint256();
}
- explicit CDiskBlockIndex(const CBlockIndex* pindex) : CBlockIndex(*pindex) {
+ explicit CDiskBlockIndex(const CBlockIndex* pindex) : CBlockIndex(*pindex)
+ {
hashPrev = (pprev ? pprev->GetBlockHash() : uint256());
}
SERIALIZE_METHODS(CDiskBlockIndex, obj)
{
+ LOCK(::cs_main);
int _nVersion = s.GetVersion();
if (!(s.GetType() & SER_GETHASH)) READWRITE(VARINT_MODE(_nVersion, VarIntMode::NONNEGATIVE_SIGNED));
@@ -367,12 +405,12 @@ public:
uint256 GetBlockHash() const
{
CBlockHeader block;
- block.nVersion = nVersion;
- block.hashPrevBlock = hashPrev;
- block.hashMerkleRoot = hashMerkleRoot;
- block.nTime = nTime;
- block.nBits = nBits;
- block.nNonce = nNonce;
+ block.nVersion = nVersion;
+ block.hashPrevBlock = hashPrev;
+ block.hashMerkleRoot = hashMerkleRoot;
+ block.nTime = nTime;
+ block.nBits = nBits;
+ block.nNonce = nNonce;
return block.GetHash();
}
@@ -389,35 +427,45 @@ public:
};
/** An in-memory indexed chain of blocks. */
-class CChain {
+class CChain
+{
private:
std::vector<CBlockIndex*> vChain;
public:
+ CChain() = default;
+ CChain(const CChain&) = delete;
+ CChain& operator=(const CChain&) = delete;
+
/** Returns the index entry for the genesis block of this chain, or nullptr if none. */
- CBlockIndex *Genesis() const {
+ CBlockIndex* Genesis() const
+ {
return vChain.size() > 0 ? vChain[0] : nullptr;
}
/** Returns the index entry for the tip of this chain, or nullptr if none. */
- CBlockIndex *Tip() const {
+ CBlockIndex* Tip() const
+ {
return vChain.size() > 0 ? vChain[vChain.size() - 1] : nullptr;
}
/** Returns the index entry at a particular height in this chain, or nullptr if no such height exists. */
- CBlockIndex *operator[](int nHeight) const {
+ CBlockIndex* operator[](int nHeight) const
+ {
if (nHeight < 0 || nHeight >= (int)vChain.size())
return nullptr;
return vChain[nHeight];
}
/** Efficiently check whether a block is present in this chain. */
- bool Contains(const CBlockIndex *pindex) const {
+ bool Contains(const CBlockIndex* pindex) const
+ {
return (*this)[pindex->nHeight] == pindex;
}
/** Find the successor of a block in this chain, or nullptr if the given index is not found or is the tip. */
- CBlockIndex *Next(const CBlockIndex *pindex) const {
+ CBlockIndex* Next(const CBlockIndex* pindex) const
+ {
if (Contains(pindex))
return (*this)[pindex->nHeight + 1];
else
@@ -425,18 +473,19 @@ public:
}
/** Return the maximal height in the chain. Is equal to chain.Tip() ? chain.Tip()->nHeight : -1. */
- int Height() const {
- return vChain.size() - 1;
+ int Height() const
+ {
+ return int(vChain.size()) - 1;
}
/** Set/initialize a chain with a given tip. */
- void SetTip(CBlockIndex *pindex);
+ void SetTip(CBlockIndex* pindex);
/** Return a CBlockLocator that refers to a block in this chain (by default the tip). */
- CBlockLocator GetLocator(const CBlockIndex *pindex = nullptr) const;
+ CBlockLocator GetLocator(const CBlockIndex* pindex = nullptr) const;
/** Find the last common block between this chain and a block index entry. */
- const CBlockIndex *FindFork(const CBlockIndex *pindex) const;
+ const CBlockIndex* FindFork(const CBlockIndex* pindex) const;
/** Find the earliest block with timestamp equal or greater than the given time and height equal or greater than the given height. */
CBlockIndex* FindEarliestAtLeast(int64_t nTime, int height) const;
diff --git a/src/chainparams.cpp b/src/chainparams.cpp
index 16efffa6f0..99671d196d 100644
--- a/src/chainparams.cpp
+++ b/src/chainparams.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,9 +7,9 @@
#include <chainparamsseeds.h>
#include <consensus/merkle.h>
+#include <deploymentinfo.h>
#include <hash.h> // for signet block challenge hash
#include <util/system.h>
-#include <versionbitsinfo.h>
#include <assert.h>
@@ -56,7 +56,7 @@ static CBlock CreateGenesisBlock(uint32_t nTime, uint32_t nNonce, uint32_t nBits
}
/**
- * Main network
+ * Main network on which people trade goods and services.
*/
class CMainParams : public CChainParams {
public:
@@ -78,19 +78,21 @@ public:
consensus.nPowTargetSpacing = 10 * 60;
consensus.fPowAllowMinDifficultyBlocks = false;
consensus.fPowNoRetargeting = false;
- consensus.nRuleChangeActivationThreshold = 1916; // 95% of 2016
+ consensus.nRuleChangeActivationThreshold = 1815; // 90% of 2016
consensus.nMinerConfirmationWindow = 2016; // nPowTargetTimespan / nPowTargetSpacing
consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].bit = 28;
- consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime = 1199145601; // January 1, 2008
- consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout = 1230767999; // December 31, 2008
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime = Consensus::BIP9Deployment::NEVER_ACTIVE;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout = Consensus::BIP9Deployment::NO_TIMEOUT;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].min_activation_height = 0; // No activation delay
// Deployment of Taproot (BIPs 340-342)
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].bit = 2;
- consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nStartTime = 1199145601; // January 1, 2008
- consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nTimeout = 1230767999; // December 31, 2008
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nStartTime = 1619222400; // April 24th, 2021
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nTimeout = 1628640000; // August 11th, 2021
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].min_activation_height = 709632; // Approximately November 12th, 2021
- consensus.nMinimumChainWork = uint256S("0x00000000000000000000000000000000000000001533efd8d716a517fe2c5008");
- consensus.defaultAssumeValid = uint256S("0x0000000000000000000b9d2ec5a352ecba0592946514a92f14319dc2b367fc72"); // 654683
+ consensus.nMinimumChainWork = uint256S("0x00000000000000000000000000000000000000001fa4663bbbe19f82de910280");
+ consensus.defaultAssumeValid = uint256S("0x00000000000000000008a89e854d57e5667df88f1cdef6fde2fbca1de5b639ad"); // 691719
/**
* The message start string is designed to be unlikely to occur in normal data.
@@ -103,7 +105,7 @@ public:
pchMessageStart[3] = 0xd9;
nDefaultPort = 8333;
nPruneAfterHeight = 100000;
- m_assumed_blockchain_size = 350;
+ m_assumed_blockchain_size = 420;
m_assumed_chain_state_size = 6;
genesis = CreateGenesisBlock(1231006505, 2083236893, 0x1d00ffff, 1, 50 * COIN);
@@ -116,15 +118,15 @@ public:
// This is fine at runtime as we'll fall back to using them as an addrfetch if they don't support the
// service bits we want, but we should get them updated to support all service bits wanted by any
// release ASAP to avoid it where possible.
- vSeeds.emplace_back("seed.bitcoin.sipa.be"); // Pieter Wuille, only supports x1, x5, x9, and xd
- vSeeds.emplace_back("dnsseed.bluematt.me"); // Matt Corallo, only supports x9
- vSeeds.emplace_back("dnsseed.bitcoin.dashjr.org"); // Luke Dashjr
- vSeeds.emplace_back("seed.bitcoinstats.com"); // Christian Decker, supports x1 - xf
- vSeeds.emplace_back("seed.bitcoin.jonasschnelli.ch"); // Jonas Schnelli, only supports x1, x5, x9, and xd
- vSeeds.emplace_back("seed.btc.petertodd.org"); // Peter Todd, only supports x1, x5, x9, and xd
- vSeeds.emplace_back("seed.bitcoin.sprovoost.nl"); // Sjors Provoost
- vSeeds.emplace_back("dnsseed.emzy.de"); // Stephan Oeste
- vSeeds.emplace_back("seed.bitcoin.wiz.biz"); // Jason Maurice
+ vSeeds.emplace_back("seed.bitcoin.sipa.be."); // Pieter Wuille, only supports x1, x5, x9, and xd
+ vSeeds.emplace_back("dnsseed.bluematt.me."); // Matt Corallo, only supports x9
+ vSeeds.emplace_back("dnsseed.bitcoin.dashjr.org."); // Luke Dashjr
+ vSeeds.emplace_back("seed.bitcoinstats.com."); // Christian Decker, supports x1 - xf
+ vSeeds.emplace_back("seed.bitcoin.jonasschnelli.ch."); // Jonas Schnelli, only supports x1, x5, x9, and xd
+ vSeeds.emplace_back("seed.btc.petertodd.org."); // Peter Todd, only supports x1, x5, x9, and xd
+ vSeeds.emplace_back("seed.bitcoin.sprovoost.nl."); // Sjors Provoost
+ vSeeds.emplace_back("dnsseed.emzy.de."); // Stephan Oeste
+ vSeeds.emplace_back("seed.bitcoin.wiz.biz."); // Jason Maurice
base58Prefixes[PUBKEY_ADDRESS] = std::vector<unsigned char>(1,0);
base58Prefixes[SCRIPT_ADDRESS] = std::vector<unsigned char>(1,5);
@@ -134,7 +136,7 @@ public:
bech32_hrp = "bc";
- vFixedSeeds = std::vector<SeedSpec6>(std::begin(pnSeed6_main), std::end(pnSeed6_main));
+ vFixedSeeds = std::vector<uint8_t>(std::begin(chainparams_seed_main), std::end(chainparams_seed_main));
fDefaultConsistencyChecks = false;
fRequireStandard = true;
@@ -164,16 +166,16 @@ public:
};
chainTxData = ChainTxData{
- // Data from RPC: getchaintxstats 4096 0000000000000000000b9d2ec5a352ecba0592946514a92f14319dc2b367fc72
- /* nTime */ 1603995752,
- /* nTxCount */ 582083445,
- /* dTxRate */ 3.508976121410527,
+ // Data from RPC: getchaintxstats 4096 00000000000000000008a89e854d57e5667df88f1cdef6fde2fbca1de5b639ad
+ /* nTime */ 1626697539,
+ /* nTxCount */ 656509474,
+ /* dTxRate */ 2.424920418708139,
};
}
};
/**
- * Testnet (v3)
+ * Testnet (v3): public test network which is reset from time to time.
*/
class CTestNetParams : public CChainParams {
public:
@@ -198,16 +200,18 @@ public:
consensus.nRuleChangeActivationThreshold = 1512; // 75% for testchains
consensus.nMinerConfirmationWindow = 2016; // nPowTargetTimespan / nPowTargetSpacing
consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].bit = 28;
- consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime = 1199145601; // January 1, 2008
- consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout = 1230767999; // December 31, 2008
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime = Consensus::BIP9Deployment::NEVER_ACTIVE;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout = Consensus::BIP9Deployment::NO_TIMEOUT;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].min_activation_height = 0; // No activation delay
// Deployment of Taproot (BIPs 340-342)
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].bit = 2;
- consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nStartTime = 1199145601; // January 1, 2008
- consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nTimeout = 1230767999; // December 31, 2008
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nStartTime = 1619222400; // April 24th, 2021
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nTimeout = 1628640000; // August 11th, 2021
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].min_activation_height = 0; // No activation delay
- consensus.nMinimumChainWork = uint256S("0x0000000000000000000000000000000000000000000001db6ec4ac88cf2272c6");
- consensus.defaultAssumeValid = uint256S("0x000000000000006433d1efec504c53ca332b64963c425395515b01977bd7b3b0"); // 1864000
+ consensus.nMinimumChainWork = uint256S("0x0000000000000000000000000000000000000000000005180c3bd8290da33a1a");
+ consensus.defaultAssumeValid = uint256S("0x0000000000004ae2f3896ca8ecd41c460a35bf6184e145d91558cece1c688a76"); // 2010000
pchMessageStart[0] = 0x0b;
pchMessageStart[1] = 0x11;
@@ -226,10 +230,10 @@ public:
vFixedSeeds.clear();
vSeeds.clear();
// nodes with support for servicebits filtering should be at the top
- vSeeds.emplace_back("testnet-seed.bitcoin.jonasschnelli.ch");
- vSeeds.emplace_back("seed.tbtc.petertodd.org");
- vSeeds.emplace_back("seed.testnet.bitcoin.sprovoost.nl");
- vSeeds.emplace_back("testnet-seed.bluematt.me"); // Just a static list of stable node(s), only supports x9
+ vSeeds.emplace_back("testnet-seed.bitcoin.jonasschnelli.ch.");
+ vSeeds.emplace_back("seed.tbtc.petertodd.org.");
+ vSeeds.emplace_back("seed.testnet.bitcoin.sprovoost.nl.");
+ vSeeds.emplace_back("testnet-seed.bluematt.me."); // Just a static list of stable node(s), only supports x9
base58Prefixes[PUBKEY_ADDRESS] = std::vector<unsigned char>(1,111);
base58Prefixes[SCRIPT_ADDRESS] = std::vector<unsigned char>(1,196);
@@ -239,7 +243,7 @@ public:
bech32_hrp = "tb";
- vFixedSeeds = std::vector<SeedSpec6>(std::begin(pnSeed6_test), std::end(pnSeed6_test));
+ vFixedSeeds = std::vector<uint8_t>(std::begin(chainparams_seed_test), std::end(chainparams_seed_test));
fDefaultConsistencyChecks = false;
fRequireStandard = false;
@@ -257,16 +261,16 @@ public:
};
chainTxData = ChainTxData{
- // Data from RPC: getchaintxstats 4096 000000000000006433d1efec504c53ca332b64963c425395515b01977bd7b3b0
- /* nTime */ 1603359686,
- /* nTxCount */ 58090238,
- /* dTxRate */ 0.1232886622799463,
+ // Data from RPC: getchaintxstats 4096 0000000000004ae2f3896ca8ecd41c460a35bf6184e145d91558cece1c688a76
+ /* nTime */ 1625727096,
+ /* nTxCount */ 60408943,
+ /* dTxRate */ 0.08379062270367649,
};
}
};
/**
- * Signet
+ * Signet: test network with an additional consensus parameter (see BIP325).
*/
class SigNetParams : public CChainParams {
public:
@@ -276,19 +280,21 @@ public:
if (!args.IsArgSet("-signetchallenge")) {
bin = ParseHex("512103ad5e0edad18cb1f0fc0d28a3d4f1f3e445640337489abb10404f2d1e086be430210359ef5021964fe22d6f8e05b2463c9540ce96883fe3b278760f048f5189f2e6c452ae");
+ vSeeds.emplace_back("seed.signet.bitcoin.sprovoost.nl.");
+
+ // Hardcoded nodes can be removed once there are more DNS seeds
vSeeds.emplace_back("178.128.221.177");
- vSeeds.emplace_back("2a01:7c8:d005:390::5");
vSeeds.emplace_back("v7ajjeirttkbnt32wpy3c6w3emwnfr3fkla7hpxcfokr3ysd3kqtzmqd.onion:38333");
- consensus.nMinimumChainWork = uint256S("0x00000000000000000000000000000000000000000000000000000019fd16269a");
- consensus.defaultAssumeValid = uint256S("0x0000002a1de0f46379358c1fd09906f7ac59adf3712323ed90eb59e4c183c020"); // 9434
+ consensus.nMinimumChainWork = uint256S("0x0000000000000000000000000000000000000000000000000000008546553c03");
+ consensus.defaultAssumeValid = uint256S("0x000000187d4440e5bff91488b700a140441e089a8aaea707414982460edbfe54"); // 47200
m_assumed_blockchain_size = 1;
m_assumed_chain_state_size = 0;
chainTxData = ChainTxData{
- // Data from RPC: getchaintxstats 4096 0000002a1de0f46379358c1fd09906f7ac59adf3712323ed90eb59e4c183c020
- /* nTime */ 1603986000,
- /* nTxCount */ 9582,
- /* dTxRate */ 0.00159272030651341,
+ // Data from RPC: getchaintxstats 4096 000000187d4440e5bff91488b700a140441e089a8aaea707414982460edbfe54
+ /* nTime */ 1626696658,
+ /* nTxCount */ 387761,
+ /* dTxRate */ 0.04035946932424404,
};
} else {
const auto signet_challenge = args.GetArgs("-signetchallenge");
@@ -328,18 +334,20 @@ public:
consensus.nPowTargetSpacing = 10 * 60;
consensus.fPowAllowMinDifficultyBlocks = false;
consensus.fPowNoRetargeting = false;
- consensus.nRuleChangeActivationThreshold = 1916; // 95% of 2016
+ consensus.nRuleChangeActivationThreshold = 1815; // 90% of 2016
consensus.nMinerConfirmationWindow = 2016; // nPowTargetTimespan / nPowTargetSpacing
consensus.MinBIP9WarningHeight = 0;
consensus.powLimit = uint256S("00000377ae000000000000000000000000000000000000000000000000000000");
consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].bit = 28;
- consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime = 1199145601; // January 1, 2008
- consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout = 1230767999; // December 31, 2008
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime = Consensus::BIP9Deployment::NEVER_ACTIVE;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout = Consensus::BIP9Deployment::NO_TIMEOUT;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].min_activation_height = 0; // No activation delay
// Activation of Taproot (BIPs 340-342)
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].bit = 2;
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nStartTime = Consensus::BIP9Deployment::ALWAYS_ACTIVE;
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nTimeout = Consensus::BIP9Deployment::NO_TIMEOUT;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].min_activation_height = 0; // No activation delay
// message start is defined as the first 4 bytes of the sha256d of the block script
CHashWriter h(SER_DISK, 0);
@@ -373,7 +381,8 @@ public:
};
/**
- * Regression test
+ * Regression test: intended for private networks only. Has minimal difficulty to ensure that
+ * blocks can be found instantly.
*/
class CRegTestParams : public CChainParams {
public:
@@ -383,12 +392,12 @@ public:
consensus.signet_challenge.clear();
consensus.nSubsidyHalvingInterval = 150;
consensus.BIP16Exception = uint256();
- consensus.BIP34Height = 500; // BIP34 activated on regtest (Used in functional tests)
+ consensus.BIP34Height = 1; // Always active unless overridden
consensus.BIP34Hash = uint256();
- consensus.BIP65Height = 1351; // BIP65 activated on regtest (Used in functional tests)
- consensus.BIP66Height = 1251; // BIP66 activated on regtest (Used in functional tests)
- consensus.CSVHeight = 432; // CSV activated on regtest (Used in rpc activation tests)
- consensus.SegwitHeight = 0; // SEGWIT is always activated on regtest unless overridden
+ consensus.BIP65Height = 1; // Always active unless overridden
+ consensus.BIP66Height = 1; // Always active unless overridden
+ consensus.CSVHeight = 1; // Always active unless overridden
+ consensus.SegwitHeight = 1; // Always active unless overridden
consensus.MinBIP9WarningHeight = 0;
consensus.powLimit = uint256S("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff");
consensus.nPowTargetTimespan = 14 * 24 * 60 * 60; // two weeks
@@ -397,12 +406,16 @@ public:
consensus.fPowNoRetargeting = true;
consensus.nRuleChangeActivationThreshold = 108; // 75% for testchains
consensus.nMinerConfirmationWindow = 144; // Faster than normal for regtest (144 instead of 2016)
+
consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].bit = 28;
consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime = 0;
consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout = Consensus::BIP9Deployment::NO_TIMEOUT;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].min_activation_height = 0; // No activation delay
+
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].bit = 2;
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nStartTime = Consensus::BIP9Deployment::ALWAYS_ACTIVE;
consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].nTimeout = Consensus::BIP9Deployment::NO_TIMEOUT;
+ consensus.vDeployments[Consensus::DEPLOYMENT_TAPROOT].min_activation_height = 0; // No activation delay
consensus.nMinimumChainWork = uint256{};
consensus.defaultAssumeValid = uint256{};
@@ -412,7 +425,7 @@ public:
pchMessageStart[2] = 0xb5;
pchMessageStart[3] = 0xda;
nDefaultPort = 18444;
- nPruneAfterHeight = gArgs.GetBoolArg("-fastprune", false) ? 100 : 1000;
+ nPruneAfterHeight = args.GetBoolArg("-fastprune", false) ? 100 : 1000;
m_assumed_blockchain_size = 0;
m_assumed_chain_state_size = 0;
@@ -424,7 +437,8 @@ public:
assert(genesis.hashMerkleRoot == uint256S("0x4a5e1e4baab89f3a32518a88c31bc87f618f76673e2cc77ab2127b7afdeda33b"));
vFixedSeeds.clear(); //!< Regtest mode doesn't have any fixed seeds.
- vSeeds.clear(); //!< Regtest mode doesn't have any DNS seeds.
+ vSeeds.clear();
+ vSeeds.emplace_back("dummySeed.invalid.");
fDefaultConsistencyChecks = true;
fRequireStandard = true;
@@ -440,11 +454,11 @@ public:
m_assumeutxo_data = MapAssumeutxo{
{
110,
- {uint256S("0x76fd7334ac7c1baf57ddc0c626f073a655a35d98a4258cd1382c8cc2b8392e10"), 110},
+ {AssumeutxoHash{uint256S("0x1ebbf5850204c0bdb15bf030f47c7fe91d45c44c712697e4509ba67adb01c618")}, 110},
},
{
- 210,
- {uint256S("0x9c5ed99ef98544b34f8920b6d1802f72ac28ae6e2bd2bd4c316ff10c230df3f2"), 210},
+ 200,
+ {AssumeutxoHash{uint256S("0x51c8d11d8b5c1de51543c579736e786aa2736206d1e11e627568029ce092cf62")}, 200},
},
};
@@ -466,48 +480,73 @@ public:
/**
* Allows modifying the Version Bits regtest parameters.
*/
- void UpdateVersionBitsParameters(Consensus::DeploymentPos d, int64_t nStartTime, int64_t nTimeout)
+ void UpdateVersionBitsParameters(Consensus::DeploymentPos d, int64_t nStartTime, int64_t nTimeout, int min_activation_height)
{
consensus.vDeployments[d].nStartTime = nStartTime;
consensus.vDeployments[d].nTimeout = nTimeout;
+ consensus.vDeployments[d].min_activation_height = min_activation_height;
}
void UpdateActivationParametersFromArgs(const ArgsManager& args);
};
-void CRegTestParams::UpdateActivationParametersFromArgs(const ArgsManager& args)
+static void MaybeUpdateHeights(const ArgsManager& args, Consensus::Params& consensus)
{
- if (args.IsArgSet("-segwitheight")) {
- int64_t height = args.GetArg("-segwitheight", consensus.SegwitHeight);
- if (height < -1 || height >= std::numeric_limits<int>::max()) {
- throw std::runtime_error(strprintf("Activation height %ld for segwit is out of valid range. Use -1 to disable segwit.", height));
- } else if (height == -1) {
- LogPrintf("Segwit disabled for testing\n");
- height = std::numeric_limits<int>::max();
+ for (const std::string& arg : args.GetArgs("-testactivationheight")) {
+ const auto found{arg.find('@')};
+ if (found == std::string::npos) {
+ throw std::runtime_error(strprintf("Invalid format (%s) for -testactivationheight=name@height.", arg));
+ }
+ const auto name{arg.substr(0, found)};
+ const auto value{arg.substr(found + 1)};
+ int32_t height;
+ if (!ParseInt32(value, &height) || height < 0 || height >= std::numeric_limits<int>::max()) {
+ throw std::runtime_error(strprintf("Invalid height value (%s) for -testactivationheight=name@height.", arg));
+ }
+ if (name == "segwit") {
+ consensus.SegwitHeight = int{height};
+ } else if (name == "bip34") {
+ consensus.BIP34Height = int{height};
+ } else if (name == "dersig") {
+ consensus.BIP66Height = int{height};
+ } else if (name == "cltv") {
+ consensus.BIP65Height = int{height};
+ } else if (name == "csv") {
+ consensus.CSVHeight = int{height};
+ } else {
+ throw std::runtime_error(strprintf("Invalid name (%s) for -testactivationheight=name@height.", arg));
}
- consensus.SegwitHeight = static_cast<int>(height);
}
+}
+
+void CRegTestParams::UpdateActivationParametersFromArgs(const ArgsManager& args)
+{
+ MaybeUpdateHeights(args, consensus);
if (!args.IsArgSet("-vbparams")) return;
for (const std::string& strDeployment : args.GetArgs("-vbparams")) {
std::vector<std::string> vDeploymentParams;
boost::split(vDeploymentParams, strDeployment, boost::is_any_of(":"));
- if (vDeploymentParams.size() != 3) {
- throw std::runtime_error("Version bits parameters malformed, expecting deployment:start:end");
+ if (vDeploymentParams.size() < 3 || 4 < vDeploymentParams.size()) {
+ throw std::runtime_error("Version bits parameters malformed, expecting deployment:start:end[:min_activation_height]");
}
int64_t nStartTime, nTimeout;
+ int min_activation_height = 0;
if (!ParseInt64(vDeploymentParams[1], &nStartTime)) {
throw std::runtime_error(strprintf("Invalid nStartTime (%s)", vDeploymentParams[1]));
}
if (!ParseInt64(vDeploymentParams[2], &nTimeout)) {
throw std::runtime_error(strprintf("Invalid nTimeout (%s)", vDeploymentParams[2]));
}
+ if (vDeploymentParams.size() >= 4 && !ParseInt32(vDeploymentParams[3], &min_activation_height)) {
+ throw std::runtime_error(strprintf("Invalid min_activation_height (%s)", vDeploymentParams[3]));
+ }
bool found = false;
for (int j=0; j < (int)Consensus::MAX_VERSION_BITS_DEPLOYMENTS; ++j) {
if (vDeploymentParams[0] == VersionBitsDeploymentInfo[j].name) {
- UpdateVersionBitsParameters(Consensus::DeploymentPos(j), nStartTime, nTimeout);
+ UpdateVersionBitsParameters(Consensus::DeploymentPos(j), nStartTime, nTimeout, min_activation_height);
found = true;
- LogPrintf("Setting version bits activation parameters for %s to start=%ld, timeout=%ld\n", vDeploymentParams[0], nStartTime, nTimeout);
+ LogPrintf("Setting version bits activation parameters for %s to start=%ld, timeout=%ld, min_activation_height=%d\n", vDeploymentParams[0], nStartTime, nTimeout, min_activation_height);
break;
}
}
@@ -543,9 +582,3 @@ void SelectParams(const std::string& network)
SelectBaseParams(network);
globalChainParams = CreateChainParams(gArgs, network);
}
-
-std::ostream& operator<<(std::ostream& o, const AssumeutxoData& aud)
-{
- o << strprintf("AssumeutxoData(%s, %s)", aud.hash_serialized.ToString(), aud.nChainTx);
- return o;
-}
diff --git a/src/chainparams.h b/src/chainparams.h
index 4d24dcdb7c..66592ffdda 100644
--- a/src/chainparams.h
+++ b/src/chainparams.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,17 +8,15 @@
#include <chainparamsbase.h>
#include <consensus/params.h>
+#include <netaddress.h>
#include <primitives/block.h>
#include <protocol.h>
+#include <util/hash_type.h>
#include <memory>
+#include <string>
#include <vector>
-struct SeedSpec6 {
- uint8_t addr[16];
- uint16_t port;
-};
-
typedef std::map<int, uint256> MapCheckpoints;
struct CCheckpointData {
@@ -30,6 +28,10 @@ struct CCheckpointData {
}
};
+struct AssumeutxoHash : public BaseHash<uint256> {
+ explicit AssumeutxoHash(const uint256& hash) : BaseHash(hash) {}
+};
+
/**
* Holds configuration for use during UTXO snapshot load and validation. The contents
* here are security critical, since they dictate which UTXO snapshots are recognized
@@ -37,7 +39,7 @@ struct CCheckpointData {
*/
struct AssumeutxoData {
//! The expected hash of the deserialized UTXO set.
- const uint256 hash_serialized;
+ const AssumeutxoHash hash_serialized;
//! Used to populate the nChainTx value, which is used during BlockManager::LoadBlockIndex().
//!
@@ -46,8 +48,6 @@ struct AssumeutxoData {
const unsigned int nChainTx;
};
-std::ostream& operator<<(std::ostream& o, const AssumeutxoData& aud);
-
using MapAssumeutxo = std::map<int, const AssumeutxoData>;
/**
@@ -64,10 +64,7 @@ struct ChainTxData {
/**
* CChainParams defines various tweakable parameters of a given instance of the
- * Bitcoin system. There are three: the main network on which people trade goods
- * and services, the public test network which gets reset from time to time and
- * a regression test mode which is intended for private networks only. It has
- * minimal difficulty to ensure that blocks can be found instantly.
+ * Bitcoin system.
*/
class CChainParams
{
@@ -84,7 +81,16 @@ public:
const Consensus::Params& GetConsensus() const { return consensus; }
const CMessageHeader::MessageStartChars& MessageStart() const { return pchMessageStart; }
- int GetDefaultPort() const { return nDefaultPort; }
+ uint16_t GetDefaultPort() const { return nDefaultPort; }
+ uint16_t GetDefaultPort(Network net) const
+ {
+ return net == NET_I2P ? I2P_SAM31_PORT : GetDefaultPort();
+ }
+ uint16_t GetDefaultPort(const std::string& addr) const
+ {
+ CNetAddr a;
+ return a.SetSpecial(addr) ? GetDefaultPort(a.GetNetwork()) : GetDefaultPort();
+ }
const CBlock& GenesisBlock() const { return genesis; }
/** Default value for -checkmempool and -checkblockindex argument */
@@ -108,7 +114,7 @@ public:
const std::vector<std::string>& DNSSeeds() const { return vSeeds; }
const std::vector<unsigned char>& Base58Prefix(Base58Type type) const { return base58Prefixes[type]; }
const std::string& Bech32HRP() const { return bech32_hrp; }
- const std::vector<SeedSpec6>& FixedSeeds() const { return vFixedSeeds; }
+ const std::vector<uint8_t>& FixedSeeds() const { return vFixedSeeds; }
const CCheckpointData& Checkpoints() const { return checkpointData; }
//! Get allowed assumeutxo configuration.
@@ -121,7 +127,7 @@ protected:
Consensus::Params consensus;
CMessageHeader::MessageStartChars pchMessageStart;
- int nDefaultPort;
+ uint16_t nDefaultPort;
uint64_t nPruneAfterHeight;
uint64_t m_assumed_blockchain_size;
uint64_t m_assumed_chain_state_size;
@@ -130,7 +136,7 @@ protected:
std::string bech32_hrp;
std::string strNetworkID;
CBlock genesis;
- std::vector<SeedSpec6> vFixedSeeds;
+ std::vector<uint8_t> vFixedSeeds;
bool fDefaultConsistencyChecks;
bool fRequireStandard;
bool m_is_test_chain;
diff --git a/src/chainparamsbase.cpp b/src/chainparamsbase.cpp
index 2c517b58f8..71978081ce 100644
--- a/src/chainparamsbase.cpp
+++ b/src/chainparamsbase.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,6 @@
#include <tinyformat.h>
#include <util/system.h>
-#include <util/memory.h>
#include <assert.h>
@@ -21,12 +20,12 @@ void SetupChainParamsBaseOptions(ArgsManager& argsman)
argsman.AddArg("-chain=<chain>", "Use the chain <chain> (default: main). Allowed values: main, test, signet, regtest", ArgsManager::ALLOW_ANY, OptionsCategory::CHAINPARAMS);
argsman.AddArg("-regtest", "Enter regression test mode, which uses a special chain in which blocks can be solved instantly. "
"This is intended for regression testing tools and app development. Equivalent to -chain=regtest.", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::CHAINPARAMS);
- argsman.AddArg("-segwitheight=<n>", "Set the activation height of segwit. -1 to disable. (regtest-only)", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-testactivationheight=name@height.", "Set the activation height of 'name' (segwit, bip34, dersig, cltv, csv). (regtest-only)", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-testnet", "Use the test chain. Equivalent to -chain=test.", ArgsManager::ALLOW_ANY, OptionsCategory::CHAINPARAMS);
- argsman.AddArg("-vbparams=deployment:start:end", "Use given start/end times for specified version bits deployment (regtest-only)", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::CHAINPARAMS);
+ argsman.AddArg("-vbparams=deployment:start:end[:min_activation_height]", "Use given start/end times and min_activation_height for specified version bits deployment (regtest-only)", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::CHAINPARAMS);
argsman.AddArg("-signet", "Use the signet chain. Equivalent to -chain=signet. Note that the network is defined by the -signetchallenge parameter", ArgsManager::ALLOW_ANY, OptionsCategory::CHAINPARAMS);
- argsman.AddArg("-signetchallenge", "Blocks must satisfy the given script to be considered valid (only for signet networks; defaults to the global default signet test network challenge)", ArgsManager::ALLOW_STRING, OptionsCategory::CHAINPARAMS);
- argsman.AddArg("-signetseednode", "Specify a seed node for the signet network, in the hostname[:port] format, e.g. sig.net:1234 (may be used multiple times to specify multiple seed nodes; defaults to the global default signet test network seed node(s))", ArgsManager::ALLOW_STRING, OptionsCategory::CHAINPARAMS);
+ argsman.AddArg("-signetchallenge", "Blocks must satisfy the given script to be considered valid (only for signet networks; defaults to the global default signet test network challenge)", ArgsManager::ALLOW_ANY | ArgsManager::DISALLOW_NEGATION, OptionsCategory::CHAINPARAMS);
+ argsman.AddArg("-signetseednode", "Specify a seed node for the signet network, in the hostname[:port] format, e.g. sig.net:1234 (may be used multiple times to specify multiple seed nodes; defaults to the global default signet test network seed node(s))", ArgsManager::ALLOW_ANY | ArgsManager::DISALLOW_NEGATION, OptionsCategory::CHAINPARAMS);
}
static std::unique_ptr<CBaseChainParams> globalChainBaseParams;
@@ -44,13 +43,13 @@ const CBaseChainParams& BaseParams()
std::unique_ptr<CBaseChainParams> CreateBaseChainParams(const std::string& chain)
{
if (chain == CBaseChainParams::MAIN) {
- return MakeUnique<CBaseChainParams>("", 8332, 8334);
+ return std::make_unique<CBaseChainParams>("", 8332, 8334);
} else if (chain == CBaseChainParams::TESTNET) {
- return MakeUnique<CBaseChainParams>("testnet3", 18332, 18334);
+ return std::make_unique<CBaseChainParams>("testnet3", 18332, 18334);
} else if (chain == CBaseChainParams::SIGNET) {
- return MakeUnique<CBaseChainParams>("signet", 38332, 38334);
+ return std::make_unique<CBaseChainParams>("signet", 38332, 38334);
} else if (chain == CBaseChainParams::REGTEST) {
- return MakeUnique<CBaseChainParams>("regtest", 18443, 18445);
+ return std::make_unique<CBaseChainParams>("regtest", 18443, 18445);
}
throw std::runtime_error(strprintf("%s: Unknown chain %s.", __func__, chain));
}
diff --git a/src/chainparamsseeds.h b/src/chainparamsseeds.h
index 3dfbae33bc..2edb556a35 100644
--- a/src/chainparamsseeds.h
+++ b/src/chainparamsseeds.h
@@ -4,1183 +4,712 @@
* List of fixed seed nodes for the bitcoin network
* AUTOGENERATED by contrib/seeds/generate-seeds.py
*
- * Each line contains a 16-byte IPv6 address and a port.
- * IPv4 as well as onion addresses are wrapped inside an IPv6 address accordingly.
+ * Each line contains a BIP155 serialized (networkID, addr, port) tuple.
*/
-static SeedSpec6 pnSeed6_main[] = {
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x02,0x27,0xad,0x7e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x03,0x0e,0xa8,0xc9}, 48333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x04,0x24,0x70,0x2c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0x08,0x12,0x1f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0x0e,0xc8,0xa7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0x38,0x14,0x02}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0x66,0x92,0x63}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0x67,0x89,0x92}, 9333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0x80,0x57,0x7e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0x85,0x41,0x52}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0xbb,0x37,0xf2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0xbc,0x3e,0x18}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0xbc,0x3e,0x21}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x05,0xc7,0x85,0xc1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x08,0x26,0x59,0x98}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x0d,0xe7,0x14,0xf9}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x12,0x1b,0x4f,0x11}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x14,0xb8,0x0f,0x74}, 8433},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x17,0x1c,0xcd,0x61}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x17,0x6a,0xfc,0xe6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x17,0xaf,0x00,0xca}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x17,0xaf,0x00,0xd4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x17,0xf1,0xfa,0xfc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x17,0xf5,0x18,0x9a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x18,0x56,0xb8,0x42}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x18,0x74,0xf6,0x09}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x18,0x8d,0x22,0xa6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x18,0x9b,0xc4,0xf6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x18,0x9d,0x82,0xde}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x18,0xbc,0xb0,0xff}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x18,0xed,0x46,0x35}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x1b,0x7c,0x04,0x43}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x1f,0x11,0x46,0x50}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x1f,0x15,0x08,0x20}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x1f,0x2d,0x76,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x1f,0x84,0x11,0x38}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x1f,0x86,0x79,0xdf}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x20,0xd6,0xb7,0x72}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x23,0x89,0xec,0x20}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x23,0xb9,0x91,0x69}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x23,0xd1,0x33,0xd4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x23,0xf5,0xaf,0x4c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x25,0x74,0x5f,0x29}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x25,0x8f,0x09,0x6b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x25,0x8f,0x74,0x2b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x25,0xbf,0xf4,0x95}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x25,0xd3,0x4e,0xfd}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x25,0xdd,0xd1,0xde}, 24333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x25,0xe4,0x5c,0x6e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2b,0xe1,0x3e,0x6b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2b,0xe1,0x9d,0x98}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x24,0xb8,0x06}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x30,0xa8,0x10}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x55,0x55,0x08}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x55,0x55,0x09}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x81,0xb4,0xd6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x95,0x4e,0x80}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x97,0x7d,0xda}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x9a,0xff,0x2e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2d,0x9b,0x9d,0xef}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0x1c,0x84,0x22}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0x1c,0xcc,0x15}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0x20,0x32,0x62}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0x3b,0x0d,0x23}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0x80,0x28,0xad}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0x80,0x8c,0xc1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0x92,0xf8,0x59}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0xa6,0xa2,0x2d}, 20001},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0xbc,0x0f,0x06}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0xe5,0xa5,0x8e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0xe5,0xee,0xbb}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0xf9,0x53,0x52}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2e,0xfe,0xd9,0xa9}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2f,0x4a,0xbf,0x22}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2f,0x73,0x35,0xa3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2f,0xbb,0x1a,0x87}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2f,0xde,0x67,0xea}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x2f,0xfd,0x05,0x63}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x31,0xe8,0x52,0x4c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x31,0xf7,0xd7,0x2b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x32,0x02,0x0d,0xa6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x32,0x22,0x27,0x48}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x32,0x2d,0xe8,0xbd}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x32,0x44,0x68,0x5c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x33,0x44,0x24,0x39}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x33,0x9a,0x3c,0x22}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x34,0xa9,0xee,0x42}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x36,0xc5,0x1e,0xdf}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x36,0xe3,0x42,0x39}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3a,0x9e,0x00,0x56}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3a,0xab,0x87,0xf2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3a,0xe5,0xd0,0x9e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3c,0xf4,0x6d,0x13}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3e,0x26,0x4b,0xd0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3e,0x4a,0x8f,0x0b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3e,0x50,0xe3,0x31}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3e,0x98,0x3a,0x10}, 9421},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3e,0xd2,0xa7,0xc7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3e,0xea,0xbc,0xa0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3e,0xfb,0x36,0xa3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x3f,0xe3,0x74,0xa2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x41,0x13,0x9b,0x52}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x41,0x5f,0x31,0x66}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x42,0x12,0xac,0x15}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x42,0xf0,0xed,0x9b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x43,0xd2,0xe4,0xcb}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x45,0x1e,0xd7,0x2a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x45,0x3b,0x12,0xce}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x45,0x40,0x21,0x47}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x45,0x77,0xc1,0x09}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x45,0xd1,0x17,0x48}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x46,0x7b,0x7d,0xed}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x46,0xb9,0x38,0x88}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x47,0x26,0x5a,0xeb}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x48,0x0c,0x49,0x46}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x48,0x35,0x86,0xb6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x48,0xe1,0x07,0x50}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x48,0xea,0xb6,0x27}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x48,0xfa,0xb8,0x39}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x49,0x53,0x67,0x4f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4a,0x76,0x89,0x77}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4a,0x85,0x64,0x4a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4a,0xd7,0xdb,0xd6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4a,0xdc,0xff,0xbe}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4b,0x9e,0x27,0xe7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4d,0x35,0x35,0xc4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4d,0x46,0x10,0xf5}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4d,0x69,0x57,0x61}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4d,0x78,0x71,0x45}, 8433},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4d,0x78,0x7a,0x16}, 8433},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4d,0xa6,0x53,0xa7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4d,0xf7,0xb2,0x82}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4e,0x1b,0x8b,0x0d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4e,0x3f,0x1c,0x92}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4e,0x53,0x67,0x04}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4e,0x8d,0x7b,0x63}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4f,0x4d,0x21,0x83}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4f,0x4d,0x85,0x1e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4f,0x65,0x01,0x19}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4f,0x75,0xc0,0xe5}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4f,0x85,0xe4,0x37}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x4f,0x92,0x15,0xa3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x50,0x59,0xcb,0xac}, 8001},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x50,0x5d,0xd5,0xf6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x50,0xc0,0x62,0x6e}, 8334},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x50,0xe5,0x1c,0x3c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x50,0xe8,0xf7,0xd2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x50,0xf2,0x27,0x4c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x50,0xfd,0x5e,0xfc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0x00,0xc6,0x19}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0x07,0x0d,0x54}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0x75,0xe1,0xf5}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0x87,0x89,0xe1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0xab,0x16,0x8f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0xbf,0xe9,0x86}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0xe8,0x4e,0x4b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x51,0xf2,0x5b,0x17}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0x1d,0x3a,0x6d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0x88,0x63,0x16}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0x95,0x61,0x19}, 17567},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xa5,0x13,0x30}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xc2,0x99,0xe9}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xc5,0xd7,0x7d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xc7,0x66,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xc8,0xcd,0x1e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xca,0x44,0xe7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xdd,0x80,0x1f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x52,0xe4,0x06,0x83}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x53,0x55,0x8b,0x5e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x53,0x63,0xf5,0x14}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x53,0x89,0x29,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x53,0xae,0xd1,0x57}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x53,0xd9,0x08,0x1f}, 44420},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0x26,0x03,0xf9}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0x26,0xb9,0x7a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0x5c,0x5c,0xf7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0xc0,0x10,0xea}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0xc2,0x9e,0x7c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0xd4,0x91,0x18}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0xd4,0xf4,0x5f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0xd8,0x33,0x24}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x54,0xff,0xf9,0xa3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0x19,0xff,0x93}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0x46,0x9c,0xd1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0x91,0x8e,0x2e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xaa,0xe9,0x5f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xb8,0x8a,0x6c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xbe,0x00,0x05}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xbf,0xc8,0x33}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xc0,0xbf,0x06}, 18500},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xc2,0xee,0x83}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xc3,0x36,0x6e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xd6,0xa1,0xfc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xd6,0xb9,0x33}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xf1,0x6a,0xcb}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x55,0xf6,0xa8,0xfc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x56,0x38,0xee,0xf7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x57,0x3d,0x5a,0xe6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x57,0x4f,0x44,0x56}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x57,0x4f,0x5e,0xdd}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x57,0x78,0x08,0x05}, 20008},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x57,0xf6,0x2e,0x84}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x57,0xf7,0x6f,0xde}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0x54,0xde,0xfc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0x56,0xf3,0xf1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0x57,0x5d,0x34}, 1691},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0x77,0xc5,0xc8}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0x81,0xfd,0x5e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0x93,0xf4,0xfa}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0xd0,0x03,0xc3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0xd4,0x2c,0x21}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x58,0xd6,0x39,0x5f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x59,0x6a,0xc7,0x26}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x59,0x6c,0x7e,0xe4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x59,0x73,0x78,0x2b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x59,0x85,0x44,0x41}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x59,0xbe,0x13,0xa2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x59,0xf8,0xac,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5a,0x92,0x99,0x15}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5a,0xb6,0xa5,0x12}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5b,0x6a,0xbc,0xe5}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5b,0xc1,0xed,0x74}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5b,0xcc,0x63,0xb2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5b,0xcc,0x95,0x05}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5b,0xd6,0x46,0x3f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5b,0xe4,0x98,0xec}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5c,0x0c,0x9a,0x73}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5c,0xf9,0x8f,0x2c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5d,0x0c,0x42,0x62}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5d,0x2e,0x36,0x04}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5d,0x73,0x14,0x82}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5d,0x7b,0xb4,0xa4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5d,0xbd,0x91,0xa9}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5d,0xf1,0xe4,0x66}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0x13,0x07,0x37}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0x13,0x80,0xcc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0x34,0x70,0xe3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0x9a,0x60,0x82}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0x9c,0xae,0xc9}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0x9e,0xf6,0xb7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0xb1,0xab,0x49}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0xc7,0xb2,0xe9}, 8100},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0xed,0x7d,0x1e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5e,0xf7,0x86,0x4d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0x30,0xe4,0x2d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0x45,0xf9,0x3f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0x52,0x92,0x46}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0x53,0x49,0x1f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0x54,0xa4,0x2b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0x57,0xe2,0x38}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0x6e,0xea,0x5d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0xa3,0x47,0x7e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0xa4,0x41,0xc2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0xae,0x42,0xd3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0xd3,0xae,0x89}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x5f,0xd8,0x0b,0x9c}, 8433},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x60,0x2f,0x72,0x6c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x61,0x54,0xe8,0x69}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x61,0x63,0xcd,0xf1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x62,0x19,0xc1,0x72}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x63,0x73,0x19,0x0d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x65,0x20,0x13,0xb8}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x65,0x64,0xae,0xf0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x66,0x84,0xf5,0x10}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0x0e,0xf4,0xbe}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0x4c,0x30,0x05}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0x54,0x54,0xfa}, 8335},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0x63,0xa8,0x96}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0x6d,0x65,0xd8}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0x7a,0xf7,0x66}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0x81,0x0d,0x2d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0xc6,0xc0,0x0e}, 20008},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0xe0,0x77,0x63}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0xe7,0xbf,0x07}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x67,0xeb,0xe6,0xc4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x68,0xab,0xf2,0x9b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x68,0xee,0xdc,0xc7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6a,0xa3,0x9e,0x7f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6b,0x96,0x29,0xb3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6b,0x9f,0x5d,0x67}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6c,0xb7,0x4d,0x0c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0x09,0xaf,0x41}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0x63,0x3f,0x9f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0x6e,0x51,0x5a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0x7b,0xd5,0x82}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0x86,0xe8,0x51}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0xa9,0x14,0xa8}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0xc7,0xf1,0x94}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0xe5,0xd2,0x06}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0xec,0x69,0x28}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6d,0xf8,0xce,0x0d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6f,0x2a,0x4a,0x41}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x6f,0x5a,0x8c,0xb3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x70,0xd7,0xcd,0xec}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x71,0x34,0x87,0x7d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x72,0x17,0xf6,0x89}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x73,0x2f,0x8d,0xfa}, 8885},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x73,0x46,0x6e,0x04}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x74,0x22,0xbd,0x37}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x76,0x67,0x7e,0x8c}, 28333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x76,0xbd,0xbb,0xdb}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x77,0x03,0xd0,0xec}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x77,0x08,0x2f,0xe1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x77,0x11,0x97,0x3d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x78,0x19,0x18,0x1e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x78,0xf1,0x22,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x79,0x62,0xcd,0x64}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x7a,0x70,0x94,0x99}, 8339},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x7a,0x74,0x2a,0x8c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x7c,0xd9,0xeb,0xb4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x7d,0xec,0xd7,0x85}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x81,0x0d,0xbd,0xd4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x82,0xb9,0x4d,0x69}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x83,0xbc,0x28,0xbf}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x83,0xc1,0xdc,0x0f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x87,0x17,0x7c,0xef}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x88,0x21,0xb9,0x20}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x88,0x38,0xaa,0x60}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x89,0xe2,0x22,0x2e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x8a,0xe5,0x1a,0x2a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x8b,0x09,0xf9,0xea}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x8d,0x65,0x08,0x24}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x8f,0xb0,0xe0,0x68}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x90,0x02,0x45,0xe0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x90,0x22,0xa1,0x41}, 18333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x90,0x5b,0x74,0x2c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x90,0x89,0x1d,0xb5}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x94,0x42,0x32,0x32}, 8335},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x94,0x48,0x96,0xe7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x94,0xaa,0xd4,0x2c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x95,0xa7,0x63,0xbe}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9a,0x5c,0x10,0xbf}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9a,0xdd,0x1b,0x15}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9c,0x13,0x13,0x5a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9c,0xf1,0x05,0xbe}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9d,0x0d,0x3d,0x4c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9d,0x0d,0x3d,0x50}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9d,0xe6,0xa6,0x62}, 14391},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9e,0x4b,0xcb,0x02}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9e,0xb5,0x7d,0x96}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9e,0xb5,0xe2,0x21}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9f,0x64,0xf2,0xfe}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9f,0x64,0xf8,0xea}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0x9f,0x8a,0x57,0x12}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa0,0x10,0x00,0x1e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0x00,0xe3,0x36}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0x00,0xe3,0x38}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0x3e,0x12,0xe2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0xd1,0x01,0xe9}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0xf3,0xaf,0x56}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0xf4,0x50,0xd0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0xfa,0xbc,0x57}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa2,0xfa,0xbd,0x35}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa3,0x9e,0xca,0x70}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa3,0x9e,0xf3,0xe6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa5,0x49,0x3e,0x1f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa6,0x3e,0x52,0x67}, 32771},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa6,0x46,0x5e,0x6a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa7,0x56,0x5a,0xef}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xa9,0x2c,0x22,0xcb}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xac,0x5d,0x65,0x49}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xac,0x69,0x07,0x2f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0x17,0x67,0x1e}, 8000},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0x35,0x4f,0x06}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0x46,0x0c,0x56}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0x59,0x1c,0x89}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0xb0,0xb8,0x36}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0xd0,0x80,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0xfe,0xcc,0x45}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xad,0xff,0xcc,0x7c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xae,0x5e,0x9b,0xe0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xae,0x72,0x66,0x29}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xae,0x72,0x7c,0x0c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0x0a,0xe3,0x3b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0x1f,0xe0,0xd6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0x4a,0x88,0xed}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0x63,0x02,0xcf}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0x6a,0xbf,0x02}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0xa0,0xe4,0x09}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0xbf,0xb6,0x03}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0xd4,0xb9,0x99}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb0,0xf1,0x89,0xb7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb1,0x26,0xd7,0x49}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0x10,0xde,0x92}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0x84,0x02,0xf6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0x8f,0xbf,0xab}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0x94,0xac,0xd1}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0x94,0xe2,0xb4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0x96,0x60,0x2e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0xb6,0xe3,0x32}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0xec,0x89,0x3f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb2,0xff,0x2a,0x7e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb4,0x96,0x34,0x25}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb5,0x27,0x20,0x63}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb5,0x30,0x4d,0x1a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb5,0x34,0xdf,0x34}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb5,0xee,0x33,0x98}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb7,0x58,0xdf,0xd0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb7,0x6e,0xdc,0xd2}, 30301},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb8,0x5f,0x3a,0xa6}, 8336},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb8,0xa4,0x93,0x52}, 41333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb8,0xab,0xd0,0x6d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x19,0x30,0x27}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x19,0x30,0xb8}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x40,0x74,0x0f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x50,0xdb,0x84}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x55,0x03,0x8c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x5f,0xdb,0x35}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x6c,0xf4,0x29}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x86,0xe9,0x79}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x91,0x80,0x15}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x94,0x03,0xe3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x99,0xc4,0xf0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0x9e,0x72,0xb8}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xa5,0xa8,0xc4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xb5,0xe6,0x4a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xb9,0x1a,0x8d}, 8111},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xba,0xd0,0xa2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xbd,0x84,0xb2}, 57780},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xd3,0x3b,0x32}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xe9,0x94,0x92}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xee,0x81,0x71}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xf9,0xc7,0x6a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xb9,0xfb,0xa1,0x36}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbb,0xbd,0x99,0x88}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0x25,0x18,0xbe}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0x2a,0x28,0xea}, 18333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0x3d,0x2e,0x24}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0x44,0x2d,0x8f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0x7f,0xe5,0x69}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0x86,0x06,0x54}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0x86,0x08,0x24}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0xd6,0x81,0x41}, 20012},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbc,0xe6,0xa8,0x72}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbd,0x22,0x0e,0x5d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbd,0xcf,0x2e,0x20}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbe,0xd3,0xcc,0x44}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xbf,0xd1,0x15,0xbc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc0,0x03,0x0b,0x14}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc0,0x03,0xb9,0xd2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc0,0x41,0xaa,0x0f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc0,0x41,0xaa,0x32}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc0,0x92,0x89,0x12}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc0,0x9d,0xca,0xb2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc0,0xe3,0x50,0x53}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0x0a,0xcb,0x17}, 8334},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0x19,0x06,0xce}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0x2a,0x6e,0x1e}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0x3a,0xc4,0xd4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0x6a,0x1c,0x08}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0xbd,0xbe,0x7b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0xc2,0xa3,0x23}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc1,0xc2,0xa3,0x35}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc2,0x0e,0xf6,0xcd}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc2,0x24,0x5b,0xfd}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc2,0x7e,0x71,0x87}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc2,0x87,0x87,0x45}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc3,0x38,0x3f,0x04}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc3,0x38,0x3f,0x05}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc3,0x43,0x8b,0x36}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc3,0x87,0xc2,0x08}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc3,0xca,0xa9,0x95}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc3,0xce,0x69,0x2a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc3,0xd1,0xf9,0xa4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc6,0x01,0xe7,0x06}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc6,0xc8,0x2b,0xd7}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc7,0xb6,0xb8,0xcc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc7,0xf7,0x07,0xd0}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc7,0xf7,0xf9,0xbc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc8,0x07,0xfc,0x76}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc8,0x14,0xba,0xfe}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xc8,0x53,0xa6,0x88}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xca,0x37,0x57,0x2d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xca,0x4f,0xa7,0x41}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xca,0x6c,0xd3,0x87}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xca,0xa9,0x66,0x49}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xcb,0x82,0x30,0x75}, 8885},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xcb,0x84,0x5f,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xcb,0x97,0xa6,0x7b}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xcc,0x5d,0x71,0x6c}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xcc,0x6f,0xf1,0xc3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xce,0x7c,0x95,0x42}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xcf,0x73,0x66,0x62}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xcf,0xe5,0x2e,0x96}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd0,0x4c,0xfc,0xc6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd0,0x64,0x0d,0x38}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd0,0x64,0xb2,0xaf}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd0,0x6e,0x63,0x69}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd1,0x06,0xd2,0xb3}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd1,0x85,0xdc,0x4a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd1,0x8d,0x39,0x39}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd3,0x1b,0x93,0x43}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd4,0x22,0xe1,0x76}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd4,0x59,0xad,0xd8}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd4,0x63,0xe2,0x24}, 9020},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd4,0xed,0x60,0x62}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd5,0x59,0x83,0x35}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd8,0x26,0x81,0xa4}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd8,0x86,0xa5,0x37}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd8,0x92,0xfb,0x08}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd8,0xbd,0xbe,0x5f}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd8,0xe2,0x80,0xbd}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd8,0xec,0xa4,0x52}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd9,0x13,0xd8,0xd2}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd9,0x1a,0x20,0x0a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd9,0x40,0x2f,0x8a}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd9,0x40,0x85,0xdc}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xd9,0x5c,0x37,0xf6}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xda,0x1f,0x71,0xf5}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xda,0xff,0xf2,0x72}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xdc,0x85,0x27,0x3d}, 8333},
- {{0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xff,0xff,0xdf,0x10,0x1e,0xaf}, 8333},
- {{0x20,0x01,0x19,0xf0,0x60,0x01,0x30,0x6f,0x0e,0xc4,0x7a,0xff,0xfe,0x8f,0x66,0xec}, 8333},
- {{0x20,0x01,0x1b,0xc0,0x00,0xcc,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xa0,0x01}, 8333},
- {{0x20,0x01,0x1c,0x02,0x2f,0x18,0x0d,0x00,0xb6,0x2e,0x99,0xff,0xfe,0x49,0xd4,0x92}, 8333},
- {{0x20,0x01,0x41,0x00,0x00,0x00,0x00,0x64,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x93}, 8333},
- {{0x20,0x01,0x41,0x00,0x00,0x00,0x00,0x64,0xdc,0xaf,0xaf,0xff,0xfe,0x00,0x67,0x07}, 8333},
- {{0x20,0x01,0x04,0x70,0x00,0x0a,0x0c,0x13,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x20,0x01,0x48,0x01,0x78,0x19,0x00,0x74,0xb7,0x45,0xb9,0xd5,0xff,0x10,0xa6,0x1a}, 8333},
- {{0x20,0x01,0x4b,0xa0,0xff,0xfa,0x00,0x5d,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x93}, 8333},
- {{0x20,0x01,0x06,0x10,0x19,0x08,0xff,0x01,0xf8,0x16,0x3e,0xff,0xfe,0x33,0x2e,0x32}, 8333},
- {{0x20,0x01,0x06,0x38,0xa0,0x00,0x41,0x40,0x00,0x00,0x00,0x00,0xff,0xff,0x01,0x91}, 8333},
- {{0x20,0x01,0x06,0x48,0x28,0x00,0x01,0x31,0x4b,0x1f,0xf6,0xfc,0x20,0xf7,0xf9,0x9f}, 8333},
- {{0x20,0x01,0x06,0x78,0x07,0xdc,0x00,0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x20,0x01,0x06,0x78,0x0c,0xc8,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x10,0x00,0x88}, 20008},
- {{0x20,0x01,0x06,0x7c,0x12,0x20,0x08,0x0c,0x00,0x00,0x00,0x00,0x93,0xe5,0x0d,0xd2}, 8333},
- {{0x20,0x01,0x06,0x7c,0x12,0x20,0x08,0x0c,0xe5,0xdc,0xad,0x0c,0x92,0x89,0xc2,0x8f}, 8333},
- {{0x20,0x01,0x06,0x7c,0x16,0xdc,0x12,0x01,0x50,0x54,0x00,0xff,0xfe,0x17,0x4d,0xac}, 8333},
- {{0x20,0x01,0x06,0x7c,0x23,0x54,0x00,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x22}, 8333},
- {{0x20,0x01,0x06,0x7c,0x26,0xb4,0x00,0x12,0x7a,0xe3,0xb5,0xff,0xfe,0x04,0x6f,0x9c}, 8333},
- {{0x20,0x01,0x06,0x7c,0x02,0xf0,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x20,0x00,0xfa}, 8333},
- {{0x20,0x01,0x07,0x18,0x08,0x01,0x03,0x11,0x50,0x54,0x00,0xff,0xfe,0x19,0xc4,0x83}, 8333},
- {{0x20,0x01,0x08,0xd8,0x08,0x7c,0x7c,0x00,0x00,0x00,0x00,0x00,0x00,0x99,0x03,0xc1}, 8333},
- {{0x20,0x01,0x08,0xf1,0x14,0x04,0x37,0x00,0x8e,0x49,0x71,0x5a,0x2e,0x09,0xb6,0x34}, 9444},
- {{0x20,0x01,0x0b,0x07,0x5d,0x29,0x99,0xa5,0x19,0x4b,0x38,0x74,0xd6,0x5e,0xa9,0x0d}, 8333},
- {{0x20,0x01,0x0b,0xa8,0x01,0xf1,0xf0,0xfe,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x20,0x01,0x0b,0xc8,0x12,0x00,0x00,0x00,0xda,0xc4,0x97,0xff,0xfe,0x2a,0x35,0x54}, 20008},
- {{0x20,0x01,0x0d,0xa8,0x10,0x0d,0x00,0x22,0x10,0xfa,0xd8,0x5f,0x10,0xf2,0x21,0xfd}, 8333},
- {{0x20,0x01,0x0d,0xa8,0x80,0x01,0x7a,0x39,0xf0,0x35,0x00,0x7d,0xb9,0x9f,0xeb,0x79}, 8333},
- {{0x20,0x01,0x0e,0x42,0x01,0x03,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30}, 8333},
- {{0x24,0x00,0x24,0x12,0x01,0x03,0xc9,0x00,0x08,0x25,0x8f,0x20,0xea,0xff,0x65,0xc2}, 8333},
- {{0x24,0x00,0x40,0x52,0x0e,0x20,0x4f,0x00,0x69,0xfe,0xbb,0x33,0x7b,0x1c,0xa1,0xca}, 8333},
- {{0x24,0x01,0x18,0x00,0x78,0x00,0x01,0x05,0xbe,0x76,0x4e,0xff,0xfe,0x1c,0x0b,0x35}, 8333},
- {{0x24,0x01,0x39,0x00,0x00,0x02,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x24,0x01,0xb1,0x40,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x44,0x01,0x50}, 8333},
- {{0x24,0x01,0xd0,0x02,0x44,0x02,0x00,0x00,0x8f,0x28,0x59,0x1a,0x6e,0xa0,0xc6,0x83}, 8333},
- {{0x24,0x03,0x62,0x00,0x88,0x21,0x3d,0x68,0x19,0x5b,0x87,0xe9,0x68,0x19,0xd5,0xc8}, 8333},
- {{0x24,0x05,0x65,0x80,0x21,0x40,0x3a,0x00,0xc2,0x8c,0x09,0x83,0x36,0x4b,0x5d,0x70}, 8333},
- {{0x24,0x05,0x98,0x00,0xb9,0x11,0xa1,0x8a,0x58,0xeb,0xcd,0x3c,0x9d,0x82,0xea,0x4a}, 8333},
- {{0x24,0x05,0xaa,0x00,0x00,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x40}, 8333},
- {{0x24,0x09,0x00,0x10,0xca,0x20,0x1d,0xf0,0x02,0x24,0xe8,0xff,0xfe,0x1f,0x60,0xd9}, 8333},
- {{0x24,0x09,0x8a,0x1e,0xa9,0xaf,0x36,0x60,0x1c,0x5a,0x5b,0x6b,0x8a,0x2d,0x98,0x48}, 8333},
- {{0x24,0x09,0x8a,0x1e,0xa9,0xaf,0x36,0x60,0x04,0x04,0x39,0xba,0x88,0xf2,0xe8,0xdf}, 8333},
- {{0x24,0x0b,0x00,0x10,0x91,0x41,0x04,0x00,0x49,0xb4,0x3a,0x2e,0x01,0xe5,0x08,0x4c}, 8333},
- {{0x24,0x0d,0x00,0x1a,0x07,0x59,0x60,0x00,0xa7,0xb1,0x45,0x1a,0x88,0x74,0xe1,0xac}, 8333},
- {{0x24,0x0d,0x00,0x1a,0x07,0x59,0x60,0x00,0xdd,0xab,0x31,0x41,0x4d,0xa0,0x88,0x78}, 8333},
- {{0x26,0x00,0x88,0x05,0x24,0x00,0x01,0x4e,0x12,0xdd,0xb1,0xff,0xfe,0xf2,0x30,0x13}, 8333},
- {{0x26,0x01,0x06,0x02,0x8d,0x80,0x0b,0x63,0xdc,0x3e,0x24,0xff,0xfe,0x92,0x05,0xeb}, 8333},
- {{0x26,0x02,0xff,0xb6,0x00,0x04,0x27,0x98,0xf8,0x16,0x3e,0xff,0xfe,0x2f,0x54,0x41}, 8333},
- {{0x26,0x02,0xff,0xb6,0x00,0x04,0x73,0x9e,0xf8,0x16,0x3e,0xff,0xfe,0x00,0xc2,0xb3}, 8333},
- {{0x26,0x02,0xff,0xb8,0x00,0x00,0x00,0x00,0x02,0x08,0x00,0x72,0x00,0x57,0x02,0x00}, 8333},
- {{0x26,0x04,0x13,0x80,0x41,0x11,0x93,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x26,0x04,0x43,0x00,0x00,0x0a,0x00,0x2e,0x02,0x1b,0x21,0xff,0xfe,0x11,0x03,0x92}, 8333},
- {{0x26,0x04,0x45,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x2e,0x06}, 8112},
- {{0x26,0x04,0x55,0x00,0x70,0x6a,0x40,0x00,0xfc,0x79,0xb9,0xbb,0x01,0xd7,0xc3,0x25}, 8333},
- {{0x26,0x04,0x55,0x00,0xc1,0x34,0x40,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03,0xfc}, 32797},
- {{0x26,0x04,0x68,0x00,0x5e,0x11,0x01,0x62,0x5c,0x8f,0xd2,0xff,0xfe,0x26,0x14,0x6f}, 8333},
- {{0x26,0x05,0x4d,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x50}, 8333},
- {{0x26,0x05,0x64,0x00,0x00,0x20,0x13,0xbf,0xdf,0x1d,0x18,0x1c,0x83,0xbb,0x22,0xe8}, 8333},
- {{0x26,0x05,0xae,0x00,0x02,0x03,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x03}, 8333},
- {{0x26,0x05,0xc0,0x00,0x2a,0x0a,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x02}, 8333},
- {{0x26,0x07,0xf2,0xc0,0xf0,0x0e,0x03,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x54}, 8333},
- {{0x26,0x07,0xf2,0xf8,0xad,0x40,0x0b,0xc1,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x26,0x07,0xf4,0x70,0x00,0x08,0x10,0x48,0xae,0x1f,0x6b,0xff,0xfe,0x70,0x72,0x40}, 8333},
- {{0x26,0x07,0xff,0x28,0x80,0x0f,0x00,0x97,0x02,0x25,0x90,0xff,0xfe,0x75,0x11,0x10}, 8333},
- {{0x26,0x20,0x01,0x1c,0x50,0x01,0x11,0x18,0xd2,0x67,0xe5,0xff,0xfe,0xe9,0xe6,0x73}, 8333},
- {{0x26,0x20,0x00,0x6e,0xa0,0x00,0x20,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x06}, 8333},
- {{0x28,0x04,0x01,0x4d,0x4c,0x93,0x98,0x09,0x97,0x69,0xda,0x80,0x18,0x32,0x34,0x80}, 8333},
- {{0x2a,0x00,0x13,0x28,0xe1,0x01,0x0c,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x63}, 8333},
- {{0x2a,0x00,0x13,0x98,0x00,0x04,0x2a,0x03,0x02,0x15,0x5d,0xff,0xfe,0xd6,0x10,0x33}, 8333},
- {{0x2a,0x00,0x13,0xa0,0x30,0x15,0x00,0x01,0x00,0x85,0x00,0x14,0x00,0x79,0x00,0x26}, 8333},
- {{0x2a,0x00,0x16,0x30,0x00,0x14,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x01}, 8333},
- {{0x2a,0x00,0x17,0x68,0x20,0x01,0x00,0x27,0x00,0x00,0x00,0x00,0x00,0x00,0xef,0x6a}, 8333},
- {{0x2a,0x00,0x18,0x28,0xa0,0x04,0x00,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x06,0x66}, 8333},
- {{0x2a,0x00,0x18,0x38,0x00,0x36,0x00,0x17,0x00,0x00,0x00,0x00,0x00,0x00,0x38,0xcb}, 8333},
- {{0x2a,0x00,0x18,0x38,0x00,0x36,0x00,0x7d,0x00,0x00,0x00,0x00,0x00,0x00,0xd3,0xc6}, 8333},
- {{0x2a,0x00,0x1c,0x10,0x00,0x02,0x07,0x09,0x58,0xf7,0xe0,0xff,0xfe,0x24,0xa0,0xba}, 22220},
- {{0x2a,0x00,0x1c,0x10,0x00,0x02,0x07,0x09,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x17}, 22220},
- {{0x2a,0x00,0x1f,0x40,0x50,0x01,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x31}, 8333},
- {{0x2a,0x00,0x60,0x20,0x13,0x95,0x14,0x00,0xba,0xf7,0x2d,0x43,0x60,0xb3,0x19,0x8b}, 8333},
- {{0x2a,0x00,0x7c,0x80,0x00,0x00,0x01,0x0b,0x00,0x00,0x00,0x00,0x00,0x00,0x3f,0xaf}, 8333},
- {{0x2a,0x00,0x8a,0x60,0xe0,0x12,0x0a,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x21}, 8333},
- {{0x2a,0x00,0xab,0x00,0x06,0x03,0x00,0x84,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03}, 8333},
- {{0x2a,0x00,0xbb,0xe0,0x00,0xcc,0x00,0x00,0x62,0xa4,0x4c,0xff,0xfe,0x23,0x75,0x10}, 8333},
- {{0x2a,0x00,0x0c,0xa8,0x0a,0x1f,0x30,0x25,0xf9,0x49,0xe4,0x42,0xc9,0x40,0x13,0xe8}, 8333},
- {{0x2a,0x00,0xd2,0xa0,0x00,0x0a,0x3d,0x00,0x1c,0xdf,0x38,0xbb,0xa7,0xd6,0xc2,0x51}, 8333},
- {{0x2a,0x00,0xd8,0x80,0x00,0x11,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x0e}, 8333},
- {{0x2a,0x00,0x0e,0xc0,0x72,0x07,0x91,0x00,0x5f,0x8f,0x25,0xdd,0x25,0x74,0x39,0x82}, 8333},
- {{0x2a,0x00,0xf8,0x20,0x04,0x33,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x36}, 8333},
- {{0x2a,0x01,0x01,0x38,0xa0,0x17,0xb0,0x18,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x42}, 8333},
- {{0x2a,0x01,0x04,0x30,0x00,0x17,0x00,0x01,0x00,0x00,0x00,0x00,0xff,0xff,0x11,0x53}, 8333},
- {{0x2a,0x01,0x04,0x90,0x00,0x16,0x03,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x2a,0x01,0x4b,0x00,0x80,0x7c,0x1b,0x00,0xcd,0xa1,0x0c,0x6a,0x2b,0xad,0x24,0x18}, 8333},
- {{0x2a,0x01,0x4b,0x00,0x80,0xe7,0x54,0x05,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x2a,0x01,0x04,0xf8,0x01,0x92,0x42,0x12,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8433},
- {{0x2a,0x01,0x07,0xa0,0x00,0x02,0x13,0x7c,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03}, 8333},
- {{0x2a,0x01,0x07,0xa7,0x00,0x02,0x14,0x67,0x0e,0xc4,0x7a,0xff,0xfe,0xe2,0x56,0x90}, 8333},
- {{0x2a,0x01,0x07,0xc8,0xd0,0x02,0x01,0x0f,0x50,0x54,0x00,0xff,0xfe,0x5c,0xda,0xc7}, 8333},
- {{0x2a,0x01,0x07,0xc8,0xd0,0x02,0x03,0x18,0x50,0x54,0x00,0xff,0xfe,0xbe,0xcb,0xb1}, 8333},
- {{0x2a,0x01,0x87,0x40,0x00,0x01,0xff,0xc5,0x00,0x00,0x00,0x00,0x00,0x00,0x8c,0x6a}, 8333},
- {{0x2a,0x01,0xcb,0x00,0x0f,0x98,0xca,0x00,0x50,0x54,0x00,0xff,0xfe,0xd4,0x76,0x3d}, 8333},
- {{0x2a,0x01,0xcb,0x14,0x0c,0xf6,0xbc,0x00,0x21,0xe5,0xf1,0x2e,0x32,0xc8,0x01,0x45}, 8333},
- {{0x2a,0x01,0x00,0xd0,0x00,0x00,0x00,0x1c,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x45}, 8333},
- {{0x2a,0x01,0x00,0xd0,0xbe,0xf2,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x12}, 8333},
- {{0x2a,0x01,0x0e,0x35,0x2e,0x40,0x68,0x30,0x02,0x11,0x32,0xff,0xfe,0xa6,0xde,0x3d}, 8333},
- {{0x2a,0x02,0x12,0x05,0xc6,0xaa,0x60,0xc0,0x70,0xd8,0xaa,0xee,0xa8,0x2d,0x99,0x3c}, 8333},
- {{0x2a,0x02,0x01,0x69,0x05,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x06,0x14}, 8333},
- {{0x2a,0x02,0x01,0x80,0x00,0x01,0x00,0x01,0x00,0x00,0x00,0x00,0x5b,0x8f,0x53,0x8c}, 8333},
- {{0x2a,0x02,0x03,0x48,0x00,0x62,0x5e,0xf7,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x2a,0x02,0x03,0x90,0x90,0x00,0x00,0x00,0x02,0x18,0x7d,0xff,0xfe,0x10,0xbe,0x33}, 8333},
- {{0x2a,0x02,0x7a,0xa0,0x16,0x19,0x00,0x00,0x00,0x00,0x00,0x00,0x0a,0xdc,0x8d,0xe0}, 8333},
- {{0x2a,0x02,0x7b,0x40,0xb0,0xdf,0x89,0x25,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x2a,0x02,0x7b,0x40,0xb9,0x05,0x37,0xdb,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x2a,0x02,0x81,0x0d,0x8c,0xbf,0xf3,0xa8,0x96,0xc6,0x91,0xff,0xfe,0x17,0xae,0x1d}, 8333},
- {{0x2a,0x02,0x83,0x89,0x01,0xc0,0x96,0x80,0x02,0x01,0x2e,0xff,0xfe,0x82,0xb3,0xcc}, 8333},
- {{0x2a,0x02,0xa4,0x54,0xa5,0x16,0x00,0x01,0x05,0x17,0x09,0x28,0x7e,0x0d,0x95,0x7c}, 8333},
- {{0x2a,0x02,0x0a,0xf8,0xfa,0xb0,0x08,0x04,0x01,0x51,0x02,0x36,0x00,0x34,0x01,0x61}, 8333},
- {{0x2a,0x02,0x0a,0xf8,0xfa,0xb0,0x08,0x08,0x00,0x85,0x02,0x34,0x01,0x45,0x01,0x32}, 8333},
- {{0x2a,0x02,0x0e,0x00,0xff,0xf0,0x01,0xe2,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x0a}, 8333},
- {{0x2a,0x03,0x22,0x60,0x30,0x06,0x00,0x0d,0xd3,0x07,0x5d,0x1d,0x32,0xca,0x1f,0xe8}, 8333},
- {{0x2a,0x03,0x60,0x00,0x08,0x70,0x00,0x00,0x00,0x46,0x00,0x23,0x00,0x87,0x02,0x18}, 8333},
- {{0x2a,0x03,0x9d,0xa0,0x00,0xf6,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x2a,0x03,0xc9,0x80,0x00,0xdb,0x00,0x47,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00}, 8333},
- {{0x2a,0x03,0xe2,0xc0,0x01,0xce,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x2a,0x04,0x35,0x44,0x10,0x00,0x15,0x10,0x70,0x6c,0xab,0xff,0xfe,0x6c,0x50,0x1c}, 8333},
- {{0x2a,0x04,0x52,0xc0,0x01,0x01,0x03,0x83,0x00,0x00,0x00,0x00,0x00,0x00,0x2a,0x87}, 8333},
- {{0x2a,0x04,0x52,0xc0,0x01,0x01,0x03,0xfb,0x00,0x00,0x00,0x00,0x00,0x00,0x4c,0x27}, 8333},
- {{0x2a,0x04,0xee,0x41,0x00,0x83,0x50,0xdf,0xd9,0x08,0xf7,0x1d,0x2a,0x86,0xb3,0x37}, 8333},
- {{0x2a,0x05,0x6d,0x40,0xb9,0x4e,0xd1,0x00,0x02,0x25,0x90,0xff,0xfe,0x0d,0xcf,0xc2}, 8333},
- {{0x2a,0x05,0xe5,0xc0,0x00,0x00,0x01,0x00,0x02,0x50,0x56,0xff,0xfe,0xb9,0xd6,0xcb}, 8333},
- {{0x2a,0x05,0xfc,0x87,0x00,0x01,0x00,0x06,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02}, 8333},
- {{0x2a,0x05,0xfc,0x87,0x00,0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x08}, 8333},
- {{0x2a,0x07,0x57,0x41,0x00,0x00,0x11,0x5d,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x2a,0x07,0xa8,0x80,0x46,0x01,0x10,0x62,0xb4,0xb4,0xbd,0x2a,0x39,0xd4,0x7a,0xcf}, 51401},
- {{0x2a,0x07,0xab,0xc4,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x09,0x46}, 8333},
- {{0x2a,0x07,0xb4,0x00,0x00,0x01,0x03,0x4c,0x00,0x00,0x00,0x00,0x00,0x02,0x10,0x02}, 8333},
- {{0x2a,0x0a,0x8c,0x41,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xb4}, 8333},
- {{0x2a,0x0a,0xc8,0x01,0x00,0x01,0x00,0x07,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x83}, 8333},
- {{0x2a,0x0b,0xae,0x40,0x00,0x03,0x4a,0x0a,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x15}, 8333},
- {{0x2a,0x0f,0xdf,0x00,0x00,0x00,0x02,0x54,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x46}, 8333},
- {{0x2c,0x0f,0xf5,0x98,0x00,0x05,0x00,0x01,0x10,0x01,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0x2c,0x0f,0xfc,0xe8,0x00,0x00,0x04,0x00,0x0b,0x7c,0x00,0x00,0x00,0x00,0x00,0x01}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd6,0xbc,0x4a,0x3c,0x6d,0x03,0xa9,0x4e,0x1f,0x55}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd6,0x8f,0xf0,0xf8,0xbb,0x10,0x00,0x18,0x42,0x54}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd6,0xec,0x32,0xc1,0x59,0x9c,0xd8,0x46,0xd5,0x48}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd6,0xf0,0x8d,0x96,0x37,0xc3,0x27,0x61,0x9a,0x24}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd0,0x12,0xe6,0xed,0x8e,0xc1,0x78,0x8d,0x1c,0x21}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd0,0x4a,0xc5,0xbd,0x5d,0xe9,0xca,0x57,0xaf,0xc4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd0,0x94,0xc0,0x97,0xd2,0x32,0xed,0x81,0x92,0x67}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd1,0xd5,0x49,0x23,0xa6,0x10,0x01,0x49,0xda,0x05}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd2,0x2a,0x76,0x2c,0x37,0x09,0x9a,0xa1,0x61,0x4b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd3,0x19,0x77,0x50,0xf5,0xf3,0x48,0x17,0x59,0x50}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd4,0x24,0xda,0xf8,0x97,0x6d,0x28,0x80,0x47,0xf9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd4,0x28,0x30,0x9d,0x6d,0xac,0x1e,0xb4,0x6e,0x59}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd5,0x13,0x71,0x95,0xd5,0x2e,0x12,0xf6,0x0e,0x6e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd5,0xc6,0x62,0x50,0xb1,0x22,0xb6,0x4a,0x31,0x56}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd5,0xc7,0x99,0x46,0x87,0x91,0x13,0xc9,0xc9,0x16}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdf,0x22,0x06,0xea,0xce,0x87,0x08,0x09,0x32,0x52}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdf,0xa1,0xf5,0x1c,0xe4,0x4e,0x97,0x71,0xee,0xc5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdf,0xf7,0x64,0x8e,0x4f,0xa3,0xbb,0xaa,0x4f,0x30}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdf,0xfc,0xa5,0x92,0x7d,0xbc,0x03,0x13,0x69,0x35}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdf,0xd5,0x61,0xfc,0xb7,0x73,0xff,0xef,0x2f,0xaa}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd9,0x3b,0x3f,0x9e,0x1c,0x02,0xe7,0xd9,0xba,0xb7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd9,0x83,0x73,0x90,0x25,0x3b,0xa9,0x4b,0x18,0x5b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xd9,0xcc,0x14,0xe4,0x9a,0x68,0x6d,0x8a,0x12,0xc5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xda,0x29,0x4a,0xc4,0x7a,0xb0,0x0e,0x0d,0x0a,0xee}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xda,0x67,0x7a,0x24,0x60,0x45,0x8f,0xe4,0x2e,0x74}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xda,0xfa,0x48,0x68,0x74,0xfb,0x2b,0x21,0x27,0x80}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdb,0x5c,0x56,0x99,0xb0,0x5c,0x08,0x43,0xb7,0xee}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdc,0x79,0xc1,0x8f,0x29,0x44,0xf2,0xdc,0x00,0xf6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xdd,0x66,0x1a,0x59,0x93,0x73,0x7f,0x58,0x76,0x19}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe7,0x9c,0x7c,0xce,0x79,0xe3,0xc8,0xa4,0x73,0x66}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe7,0xca,0xbd,0xa2,0xab,0xe5,0x7b,0xe4,0xca,0x71}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe7,0xd1,0xe8,0x45,0x7a,0x42,0x60,0x2b,0x2c,0xde}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe7,0xe9,0x47,0x9b,0x22,0x6c,0x6c,0x03,0xba,0x6e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe0,0xba,0x25,0x23,0x7f,0x25,0x5c,0x51,0xcb,0xc3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe1,0x21,0xbf,0x26,0x37,0xfd,0xe9,0x89,0x95,0xe2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe1,0x2c,0xa1,0xde,0xa2,0x37,0x7e,0x01,0xc5,0xa8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe1,0x57,0x53,0x20,0x2d,0x66,0x9a,0xb1,0xed,0xa0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe2,0x00,0xe6,0xcf,0x0c,0xe7,0xd0,0xc0,0x58,0x9c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe2,0x6f,0x9d,0xfd,0xce,0xa7,0x40,0x6f,0xfb,0x62}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe3,0x1a,0xaa,0xa7,0xc7,0x07,0xf6,0x48,0x34,0x2a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe3,0x5b,0x4c,0x5d,0x9d,0x57,0x66,0xbc,0x26,0x1b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe3,0x73,0xac,0x1b,0x82,0x6b,0xa6,0x4d,0x91,0x3f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe3,0xdd,0x9b,0x1f,0xdd,0xf7,0x30,0x6c,0x8c,0x6a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe4,0x0c,0x50,0xf7,0xd1,0xab,0xc2,0xc2,0x4a,0xff}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe4,0x64,0x0b,0xeb,0x73,0x04,0x33,0x66,0x21,0x89}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe5,0x3a,0x9e,0x83,0x1e,0x88,0x24,0xeb,0x4f,0x8c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe5,0x5d,0x1a,0xcd,0xd8,0x21,0x8f,0xcc,0x86,0xb1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xee,0xa5,0xc4,0xf5,0xeb,0x1d,0x96,0xfc,0x9e,0x76}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe8,0x02,0xf4,0x22,0x05,0xa9,0x14,0xe2,0x26,0x2e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe8,0x30,0x3c,0xde,0xfe,0x4e,0x1d,0x9d,0xb4,0x99}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe8,0xaf,0x91,0xca,0x33,0x72,0xba,0x33,0x3b,0x80}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe9,0x07,0x44,0x29,0xf4,0x1a,0x09,0xb4,0xe2,0x25}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe9,0x1e,0x40,0x15,0x4c,0xc0,0x38,0x5a,0xf4,0x7d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe9,0x71,0x75,0xe6,0x68,0x16,0xe7,0xe6,0xba,0x79}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe9,0xc7,0xe2,0x60,0x96,0xee,0x02,0xd8,0x78,0xc1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xea,0x70,0x5c,0x9e,0xca,0x90,0x7d,0x48,0xc5,0xfa}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xeb,0x5c,0xe8,0x18,0x53,0xef,0xbe,0x83,0x77,0xf5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xeb,0x64,0x56,0x71,0xb0,0x86,0x72,0xf8,0xa6,0x2f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xeb,0xa1,0x29,0xde,0x4f,0xc9,0xd6,0x64,0x90,0xbe}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xeb,0xf3,0x96,0x0f,0x93,0x2b,0x9b,0x18,0x64,0x3a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xec,0x84,0xa6,0x5f,0x98,0xa0,0x82,0xd7,0xf1,0x0e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xed,0x09,0xfb,0x3a,0x39,0x0b,0x7c,0x77,0x37,0x64}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xed,0xae,0x7b,0xea,0x6e,0xcb,0xdd,0x52,0xfb,0x3b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xed,0xd5,0xbc,0x51,0xbb,0xf1,0x37,0xa2,0x6f,0x88}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xee,0x4c,0x79,0xe8,0xdf,0xa8,0xa4,0x07,0xa3,0xdd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf6,0x86,0x21,0xbe,0xa3,0x72,0xcb,0x95,0x0f,0x2b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf6,0xc2,0xa7,0x69,0x87,0x45,0xda,0xdd,0x07,0xe3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf7,0xce,0x9a,0x96,0xbe,0xb2,0x05,0x30,0x2d,0x9d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf1,0xbc,0xa7,0x71,0x4b,0x51,0x7a,0x09,0xac,0x68}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf2,0xbb,0x98,0x90,0x97,0xb7,0x04,0x01,0xdd,0x1d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf2,0x8b,0xd0,0x60,0xeb,0x79,0x1b,0x8b,0x18,0x12}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf3,0x00,0x83,0x5d,0x35,0x11,0x27,0xc7,0xa2,0x64}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf4,0x49,0x29,0x57,0x83,0xab,0xd6,0x1e,0xa0,0xe7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf4,0x52,0x4b,0xf8,0xd8,0xa0,0x28,0x8d,0x8b,0xa4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf4,0x94,0x66,0x97,0x9b,0x7b,0xce,0x3a,0xa6,0x80}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf4,0xa7,0x70,0x38,0x74,0xb2,0x24,0x6e,0xca,0x07}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf5,0xe1,0x8e,0x4e,0x5e,0x0b,0xbd,0x4e,0x8c,0xcc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf8,0x2a,0xd5,0xec,0x70,0x79,0xa9,0xad,0xa6,0xa0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf9,0x4b,0xcb,0x2b,0x5e,0xf3,0x5d,0xad,0xce,0xed}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xf9,0xd0,0xf0,0xd3,0x25,0x18,0xb1,0x98,0x29,0x46}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xfc,0x92,0xc5,0xe6,0x33,0x3a,0x56,0xf2,0xe0,0x6a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xfc,0xe9,0x3d,0xe6,0x7a,0x02,0xad,0x16,0x5b,0xd7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xfd,0x0f,0x24,0xe5,0x3e,0x6d,0xf6,0x32,0xb6,0xf3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xfd,0x99,0xcb,0x49,0xdb,0xb5,0x41,0x3b,0xb4,0x33}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xfe,0x14,0xcc,0xd3,0x01,0xb0,0xf4,0xf9,0xe4,0xdc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x06,0xbe,0x1a,0x9d,0x0d,0x07,0x31,0xad,0xa6,0xee}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x07,0x77,0x59,0x8d,0x9f,0xa2,0x09,0x3e,0xd4,0x6b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x07,0x7d,0xdf,0xea,0xe9,0xa3,0x8a,0xd9,0xe8,0x6f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x00,0x5f,0xae,0xa9,0xa8,0x28,0xe4,0xd1,0x6a,0x35}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x01,0x0b,0x7f,0xd0,0x39,0x78,0x17,0xf1,0x2c,0x0a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x02,0x3b,0x1d,0x0d,0x0e,0xcb,0x89,0xf8,0xc4,0x79}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x02,0x1f,0x47,0xbc,0xe8,0x9e,0xc8,0xd3,0x19,0xe9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x02,0xcc,0xf4,0xa7,0x06,0x1e,0xcd,0x36,0xb1,0xef}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x02,0xd0,0x7a,0x03,0xf1,0x3e,0x05,0xce,0xe8,0xf1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x03,0x36,0x6c,0x60,0xb8,0x6d,0xf3,0x6c,0x5c,0xf7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x03,0x54,0xec,0xe4,0xa7,0x5e,0xa3,0xba,0x0b,0xd4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x04,0xf7,0x3b,0x25,0x61,0x98,0xb4,0xb8,0x36,0x1d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x05,0x60,0xe0,0xaf,0xfa,0x7b,0x05,0xee,0x0f,0x08}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x05,0x98,0x3c,0xe8,0xb2,0xd8,0x7a,0x7e,0xd2,0x7d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x06,0x31,0x67,0xa3,0x1f,0xf8,0x69,0x31,0xa6,0x29}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0e,0x91,0xb7,0xa7,0xe2,0xd7,0x05,0x57,0xc6,0x5f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0f,0x10,0xb2,0x07,0x17,0x15,0x3c,0xd9,0xcd,0x0e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0f,0x2b,0x55,0x06,0x08,0x78,0x98,0xab,0x3f,0x95}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x08,0xc6,0x58,0x5d,0xf2,0xea,0x02,0x3d,0x96,0x76}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x09,0x3a,0x13,0x09,0xee,0xe3,0x9d,0x4b,0xf6,0x18}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x09,0x96,0x0e,0x33,0xd9,0x24,0xeb,0x3a,0xfd,0x72}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x09,0xf7,0xa3,0x66,0xdb,0x6e,0x04,0xac,0xc2,0x93}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x09,0xdd,0xc5,0x38,0x6f,0x21,0xdb,0xfb,0xc7,0x77}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0a,0x26,0x27,0x21,0xbc,0x8a,0xca,0x0e,0x5a,0x17}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0a,0x2d,0xf9,0x79,0x25,0xf4,0x74,0xc2,0xec,0x54}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0a,0xbf,0x87,0xf8,0x8f,0x6b,0x04,0xb5,0xc3,0xfa}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0a,0xc4,0xa9,0xc4,0xd5,0x27,0x6a,0x49,0xa6,0x4a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0a,0xec,0x17,0xfc,0xc5,0x19,0x4a,0x39,0x5f,0x86}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0b,0x6e,0xdf,0x42,0x02,0xef,0x4d,0x56,0xf5,0xcf}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0b,0xfe,0xed,0x69,0x75,0x12,0x41,0x62,0x2e,0xb5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0c,0x21,0x88,0x50,0x46,0x4f,0x26,0x23,0xb7,0xdc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x0d,0x47,0x96,0x52,0x62,0x81,0x7e,0x6c,0xe5,0xbd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x16,0xfd,0x96,0x10,0xc9,0x52,0x1a,0x59,0xb2,0x65}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x17,0x0a,0xdf,0x68,0xcd,0x5c,0xd6,0x68,0xbe,0x75}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x10,0x00,0x45,0xf7,0x04,0x1d,0x50,0xe7,0x43,0x2a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x10,0x21,0xde,0x00,0x2b,0x28,0x62,0xda,0x30,0x63}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x11,0x22,0xd8,0xb2,0x2a,0xee,0x5c,0xcc,0xbb,0x2d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x11,0xe2,0x8f,0x22,0x66,0x48,0x00,0x67,0x17,0x93}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x13,0x45,0x64,0x2b,0x73,0x68,0xf4,0x44,0xb3,0xb9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x15,0x30,0x98,0x3b,0x28,0x23,0x04,0xcb,0x02,0xeb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x15,0xff,0x00,0x68,0xcf,0x86,0x1f,0xf7,0xac,0x7d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x16,0x5f,0xfb,0x18,0x14,0x97,0x0d,0x54,0x3b,0xfa}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1e,0x8a,0xde,0xf2,0x25,0xc2,0x46,0x06,0x99,0x1c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1e,0xa4,0xae,0x76,0x9e,0x10,0x3d,0xcc,0x12,0x07}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1e,0xc0,0xeb,0x31,0xa6,0xaa,0xa7,0x2c,0xa0,0x04}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1f,0x51,0x4e,0x01,0x19,0xde,0x34,0xa3,0x08,0xc9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1f,0xb2,0x1b,0x6a,0x57,0x6d,0xcc,0x9e,0xca,0xbb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x18,0x7b,0x11,0xf4,0x9c,0xf4,0xfe,0xc3,0x21,0xa8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x18,0x91,0xa3,0x51,0x6e,0x8a,0xf9,0xcc,0x27,0xbd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x18,0xdf,0x33,0xe9,0x96,0x9e,0xe3,0x2a,0xb9,0xc6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x19,0x63,0x6c,0x83,0xe5,0x11,0x04,0xa6,0xb5,0x92}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1a,0x6c,0x74,0x95,0x3c,0x89,0xf6,0xec,0xef,0x09}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1a,0x95,0xd6,0x31,0xe4,0xea,0x66,0x97,0x0d,0x5d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1b,0x93,0xbc,0x99,0x92,0x0e,0x69,0x16,0x40,0xcf}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1b,0xc4,0x4e,0x17,0x71,0x14,0x06,0x3c,0x86,0xfd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1c,0x6c,0xed,0xd5,0xb7,0x11,0xfa,0xec,0x94,0x2e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1d,0x10,0xa5,0x20,0x77,0x43,0xf6,0xbc,0x12,0xed}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1d,0x20,0x35,0xa1,0xf3,0x16,0xb4,0x8f,0x1c,0xbd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1d,0x30,0xfe,0x09,0xc7,0xe8,0xfe,0xd3,0xee,0x83}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1d,0x33,0xd9,0xd9,0xdb,0xcf,0xc5,0xde,0xae,0xe9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1d,0x69,0xe1,0xac,0x11,0xf1,0x32,0x2f,0x5c,0x8d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1e,0x3d,0x98,0x4b,0x9e,0xc0,0x96,0x40,0x63,0x0f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x1e,0x75,0x81,0xb1,0x3b,0xc4,0x22,0x26,0x72,0x3f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x26,0x83,0xa0,0x76,0x54,0xa8,0xc1,0x6c,0xde,0x83}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x26,0xf6,0x7e,0xfd,0x3a,0x25,0x94,0xa8,0x49,0xbd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x27,0x54,0x94,0x03,0x1f,0x7e,0x53,0xd8,0x3f,0x35}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x27,0xd0,0xa7,0x73,0x43,0xd5,0xb2,0x26,0x57,0x1c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x20,0x3c,0x17,0x1f,0x8a,0x74,0xe1,0xdf,0x5a,0x5d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x21,0x47,0x7f,0x18,0x5c,0x97,0x49,0x9c,0x40,0x86}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x21,0x62,0xfa,0x51,0x02,0xf5,0x14,0x4c,0x40,0x52}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x21,0xa3,0x41,0x6c,0x28,0xda,0x27,0x1a,0x78,0xd0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x24,0x45,0xe9,0xa6,0x5a,0xa0,0xb0,0x01,0xaf,0x5b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x25,0x09,0xa6,0xf6,0x4a,0xec,0xd5,0x33,0x74,0x35}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x26,0x55,0x1f,0xca,0x70,0xe5,0xbe,0xe3,0xa6,0x33}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2e,0xdb,0x8c,0x24,0x20,0xf2,0x9f,0x7c,0xb4,0xea}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x28,0x21,0xfd,0xd5,0x3c,0x78,0xa5,0xfd,0xcc,0xf4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x28,0xeb,0x35,0xa7,0x6f,0x90,0x83,0x7a,0x1f,0xfd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x29,0x86,0xfb,0xba,0xbc,0x6e,0x6f,0x53,0x89,0xf5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2a,0x25,0x08,0x7a,0xb9,0x56,0xd9,0xe9,0xeb,0x5d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2a,0x8c,0xfd,0xc2,0xc4,0x30,0x05,0x11,0xe8,0x29}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2b,0xb7,0x31,0x96,0xd7,0xd7,0xe6,0x05,0x42,0x1d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2c,0x15,0x79,0x88,0xf6,0xc3,0xd1,0x27,0xa9,0xf5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2c,0x28,0xda,0x1d,0x76,0xa8,0xff,0x18,0x78,0x7d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2c,0x6d,0x3e,0xb2,0x42,0x7e,0x0e,0x8a,0x59,0xe4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2c,0xc1,0xc3,0x15,0x28,0xa5,0x7c,0x5d,0x2c,0x9a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2d,0x1d,0x8d,0x21,0xf4,0x84,0x61,0x62,0x74,0x45}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x2e,0x7c,0xd9,0x21,0x3e,0x4a,0x31,0x4b,0x2e,0x42}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x36,0xea,0xb6,0x80,0x00,0x71,0xbb,0x23,0x51,0x1d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x37,0x38,0x8f,0x26,0xd2,0xa4,0xd5,0x66,0x49,0xf9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x37,0x7b,0x3f,0x74,0x7d,0x12,0x92,0x8b,0x89,0xb6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x30,0x12,0x3f,0x13,0x11,0x5e,0xa1,0x65,0x15,0x86}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x30,0x57,0x42,0x6c,0xf1,0xee,0xdf,0xc3,0x46,0xff}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x30,0x5f,0x17,0x76,0x79,0x1d,0x11,0x42,0x97,0x95}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x30,0xb8,0xbd,0xce,0x0b,0xde,0xa0,0x72,0x99,0x88}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x30,0x9a,0xb7,0x46,0xb3,0x7e,0x05,0x40,0x24,0x5e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x30,0xe4,0x80,0xe9,0xaa,0xd1,0x08,0xe4,0x0c,0xc2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x31,0x3a,0x66,0x7c,0x5e,0xb7,0xf0,0x03,0xbf,0x3f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x31,0x0c,0x29,0x90,0x84,0x7f,0x05,0x62,0xcd,0x7d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x31,0x5d,0x88,0x82,0x83,0x35,0x7b,0x04,0x8d,0x54}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x31,0x9e,0x1a,0x61,0xec,0xb9,0x91,0xaf,0x2c,0x5e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x31,0xe0,0x8a,0xe0,0x9f,0x11,0x44,0xa4,0x49,0xb3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x32,0x22,0x05,0x5d,0xcc,0x69,0x3a,0x50,0xe3,0xdc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x32,0xf3,0xd3,0x15,0x5b,0xdc,0xe9,0x43,0x75,0xa4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x33,0xd6,0x09,0xdd,0xd8,0x37,0x5b,0x75,0xf6,0x29}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x34,0x50,0xf5,0xf6,0xe9,0xb6,0x34,0x31,0x47,0xc2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x34,0xce,0x7c,0xad,0x90,0x12,0x35,0xa6,0xde,0x34}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x34,0xdd,0xa1,0xfb,0x92,0xb3,0xa4,0x56,0x2b,0xc2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x35,0x00,0x24,0x34,0x98,0xee,0x98,0x61,0x05,0xfa}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x35,0x95,0x33,0x45,0x93,0xb2,0xbc,0xda,0xf6,0x42}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x35,0x9d,0x76,0xb9,0x43,0x15,0x85,0xf3,0xe3,0x8f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3e,0xf7,0xb2,0xf2,0x0d,0xb1,0x3e,0xc8,0xe1,0x8d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3f,0x81,0xbd,0x37,0x81,0x58,0x6d,0x6c,0x37,0x83}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x38,0x0b,0x69,0xc4,0x2e,0x74,0xb2,0xe2,0x30,0x2c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x38,0x6c,0x73,0x48,0x3b,0x21,0x10,0xd6,0xc7,0xd3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x38,0xab,0xe2,0xba,0xe7,0xeb,0x15,0xf2,0x9c,0x3d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x38,0xfc,0x75,0x4c,0x4b,0xf5,0x80,0xcc,0xaf,0x2c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x38,0xc1,0xe6,0x48,0x1c,0xaf,0x23,0x3f,0xfc,0xd7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x38,0xcc,0xdb,0xaa,0x90,0x90,0xfd,0x64,0xda,0xd7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x39,0x8f,0xb0,0x65,0xbb,0x21,0x24,0x31,0xd4,0x46}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x39,0xf1,0x7a,0x78,0x36,0x52,0x48,0x52,0x25,0xd9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3a,0x32,0xdf,0x45,0x8e,0x2c,0x8d,0xba,0x3d,0x8d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3a,0x61,0x7b,0xcb,0x1a,0x74,0x88,0xc2,0xd4,0x95}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3a,0x82,0xff,0xb0,0x26,0xb7,0x94,0xb5,0xcb,0x92}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3a,0xdc,0x9a,0x59,0x16,0x0a,0x9c,0x9e,0x28,0x79}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3a,0xf3,0x79,0x26,0x3f,0x70,0x77,0x0c,0xe6,0x10}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3b,0x51,0x4c,0xbd,0x64,0xc9,0x03,0x83,0xd7,0xe0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3b,0x9a,0x32,0x59,0x49,0xe4,0xb9,0x11,0x8a,0xc5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3c,0x17,0xd6,0xd7,0xd5,0x38,0x88,0x81,0xec,0x2d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3c,0x9e,0x97,0x7d,0x90,0x8c,0x49,0xd3,0x62,0xf1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3d,0x3d,0xc9,0x69,0x83,0x8e,0xef,0xfc,0x5d,0x40}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3d,0x6d,0x58,0x6a,0x56,0x54,0x2d,0xb8,0x57,0x0e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3d,0x9d,0xa0,0xa3,0x0d,0x1c,0x63,0x57,0xaf,0xc5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x3e,0x6e,0x9d,0x8e,0x67,0xde,0x35,0x79,0xf3,0xae}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x46,0xe8,0x5b,0xd2,0xdb,0x9f,0xc5,0x72,0x8d,0xf0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x40,0x36,0xdd,0xc3,0xb4,0xe7,0x4d,0x57,0xdf,0xe0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x40,0x8a,0x69,0x6c,0xa2,0x98,0x94,0x3e,0x60,0x8e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x40,0x9f,0x9f,0x4c,0xf0,0xa8,0xd2,0x2b,0x2e,0xa1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x41,0x77,0xac,0xbb,0xb4,0xe3,0x0e,0x3a,0x34,0xa3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x41,0xb8,0xb3,0x52,0x0b,0xf5,0x6e,0xa0,0xb1,0x91}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x41,0xce,0x28,0xfc,0xa7,0x16,0x60,0x30,0x0b,0x98}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x42,0x59,0xa9,0xe2,0xee,0x0f,0xea,0xaa,0x83,0x39}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x43,0xf6,0xfa,0x52,0x06,0x3d,0x18,0x5c,0xf6,0xd6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x44,0x36,0xa2,0x4f,0xfa,0x2e,0xf1,0xa2,0xc5,0xe6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x44,0x00,0x69,0xf4,0x4e,0xe0,0xe7,0xf3,0xf8,0xe5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x45,0x0d,0x6e,0x69,0x07,0xf1,0xdf,0x18,0x47,0x5e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x45,0x4b,0xff,0xf2,0xbc,0x9f,0xd5,0xed,0xa3,0xc3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x45,0x4a,0x01,0x0c,0xbf,0x12,0x0d,0xac,0xeb,0x1a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x45,0x65,0x71,0xd9,0x54,0xeb,0x8d,0xac,0xa7,0x8b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x45,0xec,0x68,0x9c,0x0a,0x5d,0x69,0xc3,0x79,0xdf}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x46,0x7b,0xe6,0x39,0xde,0x62,0x9f,0xb3,0x7e,0xee}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4e,0x84,0xfe,0xb2,0x96,0xea,0x76,0xba,0x30,0x57}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4e,0x97,0x15,0x46,0xd4,0x32,0xc7,0x62,0x5a,0xd2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4e,0xa1,0x36,0x28,0x7a,0x18,0x02,0xb9,0x4b,0x3c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4f,0x49,0xac,0x50,0x0d,0xef,0xeb,0xa3,0xf4,0x8b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4f,0x52,0x58,0x8e,0x67,0x84,0xfa,0x6d,0x76,0xf9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4f,0x56,0xad,0x52,0xba,0x0c,0x9e,0x58,0x5c,0xaa}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x48,0x1b,0x5a,0xe6,0x4c,0xc8,0xa4,0x9d,0x95,0x0b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x49,0x1a,0xdd,0x4d,0x98,0x5e,0xef,0x70,0x45,0x90}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x49,0x5c,0x4e,0x97,0x52,0x16,0x5c,0x92,0xbf,0x7a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x49,0x84,0x64,0x79,0x5a,0x7d,0xdc,0xe4,0x76,0x1b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x49,0xc0,0xd0,0x6b,0x92,0xd8,0xf2,0xa4,0x4f,0x2f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4a,0x26,0x6a,0x2c,0x3a,0xe3,0x2a,0x58,0x44,0x66}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4a,0x69,0x5b,0x05,0x25,0xca,0xd2,0xc6,0xfe,0x7b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4a,0xc4,0x57,0x30,0xd1,0xed,0xca,0x4b,0x81,0x05}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4a,0xc8,0x79,0x7b,0x01,0x0e,0xbd,0x05,0xb5,0xa0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4a,0xd3,0x9c,0xf2,0x6c,0x0c,0x23,0x78,0x6e,0x1d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4b,0x85,0xc7,0x40,0x44,0x20,0xd4,0x6f,0xfe,0xa5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4c,0x7b,0x8f,0x35,0x34,0x08,0x83,0x5f,0x1b,0x7f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4c,0x5c,0x07,0x4b,0xcb,0x07,0x2a,0x82,0x1d,0xdc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4c,0x98,0xf3,0x99,0x40,0xc7,0xd0,0x83,0x85,0x51}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4c,0xd5,0x26,0xb9,0x54,0x90,0x72,0xc9,0x7e,0xcb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4d,0x3a,0x3a,0x3b,0x71,0xf3,0xfc,0x34,0x65,0xa2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4d,0xbd,0x9c,0x32,0xe2,0x69,0x02,0x03,0xd2,0x89}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4d,0xc0,0xba,0x9c,0xbf,0xb7,0xec,0x4a,0xc3,0x36}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4e,0x32,0x72,0x6d,0x06,0xe7,0x10,0x25,0x62,0x41}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x4e,0x49,0xea,0x29,0xbc,0x40,0xe2,0x7e,0x70,0x8e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x57,0x0c,0xb7,0x4d,0x77,0x6b,0x27,0x30,0xf8,0x53}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x57,0xe9,0x8d,0xa2,0xcc,0xa9,0xa9,0x9c,0x18,0x7a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x52,0xf5,0xb7,0x14,0x06,0xdd,0x14,0x1f,0x1e,0xeb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x53,0x95,0x3d,0x42,0x3e,0x1f,0x1e,0xcc,0x07,0x43}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x53,0xc0,0xba,0x6c,0xfd,0xc0,0xd4,0xe0,0x22,0xb2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x54,0x46,0xf0,0x8e,0xb3,0x85,0xba,0x2e,0xac,0x84}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x54,0x51,0x6f,0x2b,0x29,0xc8,0x23,0x93,0x07,0x66}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x54,0x5f,0xa9,0x9c,0x4c,0xb4,0x5f,0x27,0x50,0x9e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x55,0x71,0x51,0xd9,0x36,0x98,0x09,0xd6,0x3b,0xff}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x56,0x23,0x78,0xa3,0xb1,0x0c,0x7c,0x87,0xd2,0x32}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x56,0x76,0xeb,0x9b,0xff,0xe7,0x47,0x79,0xfb,0x50}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5e,0xed,0xd2,0x89,0x48,0xd5,0x83,0x17,0x6a,0x01}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5f,0x38,0x14,0x4a,0x97,0x39,0xff,0x12,0x07,0xb0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5f,0x7d,0xd3,0x77,0x5b,0x23,0x12,0x40,0xd2,0x49}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5f,0xad,0xd5,0x0c,0x88,0x35,0xa4,0x66,0x97,0xb3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5f,0xc1,0xc2,0x32,0x38,0x2d,0xd4,0x93,0x31,0x81}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5f,0xe4,0xb7,0x48,0x49,0x84,0x02,0x82,0x8a,0x56}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x58,0x00,0x54,0xc2,0xb3,0x71,0xbe,0x34,0x95,0x7a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x58,0x0f,0xef,0xf9,0x57,0x09,0x82,0x6b,0x6e,0x9a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x58,0x61,0xa0,0x7d,0xed,0x7b,0x2a,0x8b,0x6a,0x0e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x58,0xb9,0x66,0xbe,0x0b,0xd7,0xeb,0x86,0x23,0x7d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x58,0xdc,0x52,0x84,0xaf,0x56,0xd3,0xe1,0x7f,0x1f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x59,0x0e,0xf6,0x19,0x6a,0x45,0x5c,0x18,0x6a,0x0e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x59,0x89,0x67,0xa7,0x3f,0x41,0x3e,0x30,0x42,0x11}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x59,0x95,0x50,0xd6,0x2e,0xf7,0xd2,0xe6,0x3a,0x56}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5a,0x2d,0xdc,0xf1,0xa6,0x40,0xbc,0x1f,0xd5,0xb5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5a,0x65,0xf3,0x5a,0x2c,0x66,0x41,0xe8,0x78,0xc0}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5b,0x2a,0x0b,0xec,0x9e,0x05,0x81,0x7a,0x9e,0x08}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5c,0x73,0xff,0x8e,0xc5,0xfe,0x21,0xc1,0x19,0xb3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5d,0x41,0xde,0x3d,0xa1,0x86,0x9b,0x26,0x27,0x11}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5d,0xc5,0xaa,0x3c,0xf7,0xc6,0x2e,0x55,0x9d,0xa5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5e,0x13,0x80,0x8e,0x3c,0x3b,0x13,0xb0,0xc0,0x01}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x5e,0x75,0x95,0xb5,0x98,0xc3,0x6d,0x33,0x58,0xba}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x67,0x8e,0x26,0xbd,0x0a,0x43,0x30,0x7d,0xff,0x0f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x60,0xfd,0xbe,0xb9,0x89,0x6c,0x4c,0x72,0x10,0x7b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x60,0xc3,0xb7,0x51,0xf6,0x2f,0x0b,0xa8,0x61,0x21}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x61,0x3c,0x3e,0x12,0x57,0xfb,0x8e,0x36,0xdd,0xa4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x61,0x04,0x55,0x21,0x5d,0x12,0x39,0xfb,0x09,0x49}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x61,0x63,0x52,0x55,0xbf,0xb7,0xa3,0x69,0x3f,0x91}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x62,0x19,0x4a,0x4d,0x64,0xb7,0x65,0x19,0x8e,0x8a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x63,0x71,0x25,0x6d,0x19,0xbd,0x62,0x0d,0x9e,0x95}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x64,0x29,0xe3,0x42,0x71,0x3b,0x3d,0x7c,0xda,0xc7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x65,0xa8,0x2f,0x55,0xcc,0xe3,0x4c,0x84,0xcc,0x3b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x65,0xc7,0x38,0xa4,0xe4,0xd6,0x0b,0x2b,0xed,0xe6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6f,0x10,0x12,0x4f,0x8f,0x44,0x85,0x5d,0x69,0xa9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6f,0x87,0xcf,0x54,0x39,0xbf,0x36,0x12,0x55,0x61}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6f,0xa7,0xe5,0x14,0xd9,0x5d,0x5d,0x9b,0x9c,0xac}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6f,0xe3,0x17,0x08,0xf6,0x24,0x4b,0xa8,0x5f,0x24}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x68,0xa4,0x34,0x41,0x8d,0xb9,0xda,0xd4,0x86,0x59}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0x27,0x7b,0x6d,0x0b,0x29,0x5a,0x67,0xd1,0x95}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0x57,0x2a,0xd0,0x28,0x58,0xc8,0x75,0xd2,0xd1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0x64,0xb2,0xc9,0x15,0xc6,0x0e,0x8b,0x86,0x4f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0x8b,0xd2,0x78,0x3f,0x7a,0xf8,0x92,0x8f,0x80}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0x9e,0xf9,0x07,0x73,0xd8,0xe8,0x24,0x93,0xcc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0xcb,0x6c,0x41,0x52,0x61,0x20,0x4e,0x77,0x39}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0xf0,0x96,0x3c,0x4c,0x78,0x33,0xd0,0xf0,0x00}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6b,0x59,0x5f,0xe7,0xdd,0x57,0xba,0xc1,0x12,0x51}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6c,0x62,0x5b,0x0d,0x91,0x66,0xd0,0xca,0x10,0x2d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6c,0x62,0xc5,0x19,0x94,0x5b,0xcd,0x20,0xd9,0x73}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6d,0xb8,0x7f,0xac,0x82,0x55,0x27,0xf2,0x01,0xf5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6d,0x95,0x8d,0xd8,0x7b,0x41,0xdc,0x81,0xd4,0x3d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6e,0x38,0xa5,0x11,0x8c,0x64,0x2b,0xc5,0xbe,0x6c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x76,0xbb,0x65,0x0a,0xdf,0x23,0xa2,0x6d,0x4d,0xc8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x76,0x8d,0x46,0x54,0x2a,0xb7,0x9e,0xce,0x74,0x45}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x77,0x30,0x99,0x1c,0x76,0x58,0x64,0x7c,0x2e,0x16}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x71,0x6f,0xc8,0x1a,0xde,0x5b,0xde,0xda,0xcc,0xd5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x72,0x89,0x34,0x3d,0x7c,0x33,0x47,0x01,0x02,0x92}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x74,0x3b,0x0e,0x42,0x30,0x42,0x63,0xa5,0x3e,0x8d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x74,0x2d,0xb6,0x15,0xc8,0x70,0x60,0x25,0x2e,0xe7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x74,0x65,0x8d,0x57,0xdb,0x20,0xa2,0xc1,0xa7,0xbd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x74,0xf9,0x3c,0xb3,0x2d,0xc2,0x18,0xc5,0xcb,0x2a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x75,0x95,0xe1,0x69,0x25,0x99,0xec,0xac,0x00,0xe4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x76,0x3f,0x29,0x6c,0xec,0xd3,0x95,0x7e,0x4e,0x8d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7e,0x9e,0x2f,0x58,0x20,0x23,0xea,0x34,0x78,0x44}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7e,0xaf,0xae,0x18,0x67,0x04,0x98,0x61,0x2f,0xa9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7f,0x84,0xea,0x51,0x31,0xd3,0x46,0x75,0xae,0xbb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x78,0x3e,0x3b,0x74,0x2b,0x6f,0x57,0x06,0x53,0xbb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x78,0x24,0xc1,0x1e,0x6e,0x73,0x93,0xa5,0x08,0xe3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x78,0xc0,0xf5,0x28,0xea,0xf3,0xc2,0x2c,0x6a,0x69}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x79,0x0f,0xd0,0x25,0xd4,0xa5,0xbc,0xcb,0x72,0x51}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7a,0xa9,0x41,0x75,0xf6,0x5f,0x6f,0x83,0x58,0xf1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7c,0x39,0x64,0xaf,0xf5,0x37,0xe7,0x22,0xe0,0x42}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7c,0xc3,0x68,0x1e,0x92,0x7c,0xbb,0x04,0x12,0x0b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7c,0xec,0xf0,0xdb,0x09,0xea,0xdb,0x82,0x5b,0x45}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7d,0x3f,0x6d,0xa4,0xb8,0x8e,0x5f,0xf9,0x5e,0x48}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x7d,0xb0,0xb0,0xe2,0xa5,0xa0,0xbd,0xa3,0x9e,0xb7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x86,0x8a,0x76,0xb7,0x13,0xe8,0x74,0x0c,0x54,0x44}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x86,0xd1,0xb0,0x3e,0x88,0x73,0x42,0x0c,0xb0,0xa4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x80,0xfc,0x51,0x3e,0x9b,0x7d,0x42,0x5d,0x63,0x77}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x81,0x49,0x6a,0xef,0x1f,0x06,0xdf,0xc4,0x6c,0x23}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x81,0xf1,0x31,0xce,0x65,0x59,0xc2,0x2e,0x46,0x47}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x82,0x9b,0xbe,0xc4,0x3b,0xbe,0x8d,0x70,0xda,0x1c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x82,0xea,0xb2,0x5e,0x5f,0x7d,0x80,0x2d,0x17,0x81}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x83,0x8c,0x28,0x22,0x33,0xa4,0xc1,0xe8,0xae,0xe6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x84,0x73,0x02,0xdd,0x47,0x8b,0x29,0xda,0xf6,0x2e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x84,0xb0,0x90,0x4a,0x1c,0xf0,0x75,0x2c,0x23,0x12}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x85,0x29,0xc0,0xeb,0x29,0x0b,0x63,0xaa,0x13,0x98}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x85,0x30,0x22,0xa7,0x56,0x23,0x73,0xe0,0x97,0x03}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x85,0x47,0x8d,0x89,0x8e,0x13,0x57,0x5e,0xd7,0xe2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x85,0x6c,0x77,0xc3,0x06,0x03,0x75,0x75,0x63,0xa7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x86,0x29,0x3b,0x0b,0x5e,0xa2,0xd7,0x44,0x80,0xa1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8f,0x3b,0x03,0x68,0x7e,0x45,0x8a,0x33,0xc2,0xcb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8f,0x2f,0x41,0xc7,0xd4,0xe4,0x7a,0xdc,0x18,0x1c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8f,0x80,0xf0,0x76,0x52,0xa2,0x6e,0x1b,0x0f,0x7c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8f,0xb3,0xa3,0x0a,0x54,0xdf,0xd5,0xb3,0x00,0x07}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x88,0x62,0x93,0x14,0x42,0x07,0xab,0xd0,0xff,0x0e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x88,0x90,0x5b,0xa0,0x20,0xb4,0x27,0xe8,0xdf,0x39}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x88,0xdd,0xbb,0x8a,0x6a,0xde,0x55,0x94,0xd5,0x6d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x88,0xea,0xb2,0x3f,0x1e,0x31,0xcc,0xf0,0x3f,0x2e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x89,0x05,0x2d,0x83,0x5f,0x11,0xeb,0xa5,0x9b,0xdd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x89,0x58,0x14,0x63,0xb5,0xcc,0xea,0xdf,0x1f,0x0d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8a,0xd1,0xd5,0x85,0x24,0xe2,0xbf,0xf4,0x37,0x36}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8b,0xa1,0x66,0xb0,0x8f,0x12,0x79,0xdd,0xd4,0xa7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8b,0xc2,0xdb,0xf7,0x90,0x6a,0x11,0x58,0xb0,0xfb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8c,0xab,0x57,0x1a,0x03,0x5a,0x12,0xff,0xfc,0xf5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x8d,0x99,0xd1,0xf0,0xe6,0xd9,0xc5,0xff,0xa8,0x73}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x96,0xf0,0x45,0xaa,0xa2,0xe9,0x7b,0x72,0x62,0x56}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x97,0xa3,0x7e,0xe8,0xe8,0x9b,0x1e,0xfe,0x2c,0xc4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x90,0x3c,0xcd,0xc6,0xb8,0x12,0x1e,0x62,0x31,0x58}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x90,0x2a,0x40,0x90,0x92,0x62,0x91,0x56,0x14,0x2e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x90,0x70,0x98,0xf5,0xaf,0x56,0x98,0xb6,0x16,0xdf}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x91,0x23,0x64,0xf3,0x49,0x61,0x3b,0x73,0x9d,0x96}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x91,0xb9,0x56,0x50,0x35,0xd8,0xd3,0x1c,0xd6,0x87}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x91,0xe4,0x65,0x49,0x74,0xcf,0x92,0xa3,0x3f,0xc6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x92,0x71,0x96,0x5a,0xd4,0xf0,0xd0,0x84,0x4f,0x71}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x92,0xb6,0x46,0xee,0x24,0xa0,0xcd,0xb9,0x0c,0xdd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x92,0x9c,0x82,0xbf,0x8e,0x4f,0xd7,0xc7,0x4a,0x9d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x92,0xc9,0xa1,0x01,0xeb,0x52,0xdb,0xbd,0x93,0xf8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x93,0x06,0x3f,0xc3,0xe6,0x73,0x40,0x91,0xb1,0x30}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x93,0xd8,0x7a,0x5d,0x21,0xd0,0x87,0xf5,0x92,0x8d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x94,0x54,0x6c,0x57,0xa4,0x1b,0x74,0xf0,0x7d,0x0b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x94,0x96,0xd4,0xa4,0xed,0x65,0x96,0xbc,0x4a,0xbc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x95,0x3d,0xec,0x1a,0x20,0x97,0xa2,0xa1,0xcd,0xab}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x95,0x1a,0x3a,0xb0,0x29,0x8c,0xcc,0x32,0x80,0xf7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x95,0x47,0xee,0xab,0xa9,0x78,0x17,0xa7,0xed,0x73}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x95,0x68,0x0e,0x9d,0x10,0x5d,0x2d,0xf7,0x6a,0x56}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x95,0xe0,0x9a,0x05,0x94,0x67,0x22,0xc2,0x99,0xf4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9e,0xb9,0xda,0xa3,0xfc,0xd4,0xd1,0xb9,0xb5,0x40}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9f,0x0a,0x17,0x56,0xa6,0xcb,0xda,0x86,0x0f,0x4f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9f,0x17,0xcb,0x57,0x64,0x8a,0x8e,0xf1,0x93,0x4f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9f,0x60,0x23,0xd8,0x31,0xf5,0x3b,0x5d,0x00,0xca}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9f,0xd2,0xb0,0x27,0xc6,0x36,0x2f,0xf9,0x76,0xb8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x98,0x3d,0x24,0x92,0x18,0x0e,0xbe,0x5e,0x37,0x80}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x98,0x2b,0xfa,0x4d,0xf6,0xe3,0xcb,0x8f,0xa7,0xca}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x98,0x2e,0x6e,0xe7,0x52,0xb9,0x59,0xd1,0x70,0x7e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x99,0x15,0x6a,0xb4,0x2e,0x18,0x73,0x15,0xd0,0xb2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x99,0xb9,0x4b,0x45,0x2c,0x9c,0x74,0x95,0x85,0x38}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x99,0xf8,0x24,0xd4,0xa5,0x4c,0xed,0xea,0xb9,0x94}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x99,0xfc,0x5b,0xe1,0x93,0xb3,0x4a,0x82,0xc0,0x94}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x99,0xe6,0x23,0x9d,0x7a,0xed,0x35,0xe6,0x99,0x70}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9a,0x10,0x03,0xfc,0x52,0xa3,0x94,0xb1,0x55,0x1e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9a,0xbd,0xbb,0xf4,0xaa,0xde,0xf7,0xfc,0xee,0x83}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9a,0x8c,0xe7,0x4c,0x13,0xf0,0xa0,0xdf,0xd7,0x18}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9b,0x53,0xdf,0x76,0xd6,0x86,0x7b,0x67,0xa6,0xb2}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9c,0xbd,0x0b,0xef,0xec,0x63,0xe9,0xe6,0xa7,0xb8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9c,0xd2,0x89,0x56,0xf8,0x19,0x83,0x37,0xf7,0xc5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9d,0x9b,0xde,0x57,0xf1,0x06,0xae,0x93,0x0f,0xbd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9d,0xc8,0xce,0xb0,0x94,0x36,0xb8,0x6d,0x13,0x23}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9e,0x11,0x46,0xb7,0x7e,0x5b,0x0a,0x28,0x75,0x71}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9e,0x2b,0xdf,0x5e,0x5e,0x37,0x9a,0x3c,0xc2,0x97}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa7,0x3e,0x5d,0x9e,0xf6,0x87,0xbb,0x23,0x4b,0x8e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa7,0x23,0xf2,0xb4,0xee,0x5c,0x47,0x6b,0x2d,0xa8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa7,0x7b,0xe7,0x14,0x3b,0x66,0x01,0x10,0x16,0xcd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa7,0x61,0xb3,0x07,0x3c,0x83,0xf3,0xcb,0x55,0x71}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa0,0x14,0xbc,0x6f,0x03,0x89,0x2b,0x57,0xde,0xc8}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa1,0xbc,0x70,0x3d,0x1c,0x84,0xc8,0xac,0x8b,0xf5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa2,0x3b,0xdd,0xc1,0xd3,0x1f,0xa2,0xe6,0xee,0x25}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa2,0x23,0xf2,0xee,0xcb,0x9b,0x94,0x0f,0x04,0x21}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa2,0xa2,0x94,0x9e,0xce,0x1a,0xf9,0xcb,0x31,0xc5}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa2,0xfa,0x66,0x69,0x17,0xc7,0xd5,0x01,0x96,0xc6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa3,0x46,0x3f,0xc6,0x49,0xe3,0xc8,0xdd,0xd9,0xdc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa3,0xa3,0x67,0xe4,0xa4,0x3c,0xf0,0xa8,0x9b,0x9b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa3,0xab,0x27,0xeb,0x0b,0x9b,0x40,0xe4,0xc3,0xcb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa4,0x81,0x96,0x0c,0x52,0xde,0x9b,0x8d,0x70,0x78}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa4,0x81,0x99,0x7c,0xcb,0x67,0xcc,0x4c,0x5d,0x4b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa4,0xa5,0xa5,0x10,0x66,0xfc,0x15,0x63,0x0e,0x3d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa4,0xcd,0x88,0xd6,0xdf,0xed,0xab,0xa6,0xe1,0x88}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa6,0x6c,0x01,0x32,0x5f,0x56,0x32,0x72,0x1c,0x2b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xae,0x94,0x31,0x12,0x75,0x92,0xd8,0x32,0x8a,0xd1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xaf,0x56,0x76,0xe7,0x35,0xf3,0x5a,0x62,0x9b,0xa3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa8,0xb9,0xc3,0x07,0x95,0x23,0xde,0xe0,0xc6,0x7b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa9,0x6d,0x83,0xa6,0x9c,0xdd,0xae,0x7c,0xd6,0x97}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa9,0xa8,0x9a,0x15,0x5d,0xda,0xe1,0x87,0x2d,0x0e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa9,0xc8,0x44,0xc2,0x1a,0xaf,0x46,0xa0,0xf2,0xf1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xaa,0x7d,0xc2,0x0c,0x95,0xe2,0x5b,0x02,0x8e,0x41}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xab,0x00,0x8e,0xd1,0x06,0x26,0x63,0xa5,0x1d,0x49}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xab,0x29,0x85,0x0f,0xf2,0xb8,0x58,0x8f,0xdb,0xbf}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xab,0x98,0x40,0x0a,0x73,0x43,0x6f,0xb6,0x3d,0x8b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xab,0xdd,0x6d,0x5d,0xc5,0x36,0xcb,0x6c,0xc8,0x70}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xac,0x81,0x65,0xa3,0x8b,0xea,0x0b,0x71,0xe4,0x16}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xad,0x1b,0x40,0xc1,0x45,0x64,0xbf,0x24,0x15,0xca}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xad,0x1c,0xc0,0xb4,0x95,0xb5,0x17,0xc0,0xc2,0x41}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xad,0xc4,0xfa,0x8d,0xa6,0xf7,0x40,0x42,0xe7,0xd3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xae,0x2e,0xe4,0x64,0x79,0x05,0x5f,0xb7,0x04,0x14}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb0,0x48,0xe6,0xe8,0x48,0xfa,0xca,0x87,0x78,0x18}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb0,0x6c,0x4a,0x92,0xde,0xd3,0x0d,0x28,0xc4,0x79}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb1,0x41,0x81,0xac,0xde,0xce,0x0b,0x94,0x8a,0x9d}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb1,0x73,0xdf,0x4b,0xab,0xc3,0x7a,0x3c,0x48,0x99}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb1,0xb6,0xc8,0x72,0x86,0xc6,0x34,0x6b,0xef,0x41}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb1,0xd5,0x8e,0xf0,0x22,0x9a,0x8b,0xa6,0xf1,0xfb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb1,0xd8,0x90,0x36,0x0e,0xc6,0x51,0x9c,0x8b,0x93}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb2,0xce,0xea,0x6a,0xd7,0x34,0x30,0x8d,0xdf,0x65}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb2,0xea,0xa2,0xc5,0xeb,0x2a,0x10,0xec,0xeb,0x4e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbe,0xda,0x60,0xee,0xa0,0xf8,0xdd,0x5a,0x11,0xb6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbf,0x7f,0x7f,0x68,0x2c,0x63,0x70,0xba,0xbb,0xf1}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb9,0xaa,0xce,0xfd,0x87,0x35,0x7b,0xee,0x0d,0x40}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xb9,0xe5,0xb3,0x2c,0xb6,0x6d,0x91,0x46,0x22,0xad}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xba,0x49,0xd2,0xda,0xb8,0x28,0xe8,0x4d,0x53,0xca}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xba,0xcd,0x40,0x9b,0x0b,0xc6,0x82,0xba,0xc8,0xdd}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbb,0x57,0x4d,0xce,0xa0,0x53,0x4d,0x8f,0xcd,0x4f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbb,0xba,0xc0,0x45,0x0b,0x3d,0x30,0xef,0x86,0x93}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbc,0x80,0x0b,0xa0,0xe3,0xc1,0x9b,0x6b,0xc5,0x17}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbd,0x3a,0xc5,0xd0,0xc3,0x93,0x32,0x55,0x57,0x27}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbd,0x63,0x78,0x09,0xf3,0x85,0x50,0x42,0x0c,0x3a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xbd,0xb2,0x78,0xc7,0x06,0x2c,0xe1,0xb8,0x72,0xdc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc7,0x25,0x66,0x48,0x17,0x18,0x9d,0x2d,0x05,0xb4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc7,0x66,0xbe,0x2e,0x08,0xdf,0xba,0xf7,0xae,0x83}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc7,0x6d,0x92,0x43,0x00,0x24,0xe5,0xd6,0x83,0xd3}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc7,0xf7,0x05,0x69,0x99,0x52,0x54,0x77,0x2b,0x1f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc7,0xdd,0x9d,0xe0,0x6d,0xaa,0x03,0xcb,0x9c,0x21}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc0,0x0f,0xf8,0x18,0xb0,0x84,0x66,0x47,0x08,0xe4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc0,0x41,0xc0,0xc5,0x9d,0xef,0x46,0x46,0xae,0x7f}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc1,0x89,0x05,0x1b,0x88,0x6b,0xd7,0x20,0x08,0x9b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc2,0x4e,0xd2,0xd3,0xfd,0x58,0x32,0x14,0x6f,0x87}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc2,0x6d,0xf5,0x40,0x0f,0xbd,0xfb,0x53,0x19,0xc9}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc3,0x3e,0x86,0xb1,0xd5,0x0c,0x5a,0x0e,0x18,0x4e}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc4,0x3a,0x2a,0x49,0xb4,0x72,0xa4,0x2c,0x7b,0x99}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc4,0x44,0x04,0x3a,0x11,0x84,0x47,0x67,0x2a,0x13}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc4,0x45,0x1f,0xbc,0xc9,0xa0,0x32,0x01,0xeb,0xbc}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc4,0x55,0x2a,0xb9,0xbb,0x9b,0x2a,0xe7,0x1c,0x75}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc4,0xdf,0x49,0x72,0xb7,0xed,0xbe,0x9f,0x59,0xfa}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc4,0xe0,0x24,0x19,0x5a,0x39,0xc6,0xbe,0x74,0xee}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc5,0xdc,0x95,0xee,0xec,0x4d,0x25,0xb1,0xa1,0x5a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc6,0x47,0x01,0xca,0x17,0xe1,0x47,0x46,0x9b,0xd6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xce,0xf6,0xda,0x2a,0x7f,0x69,0x90,0xad,0x89,0xe4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xce,0xf1,0x60,0x80,0x76,0xe7,0x9a,0x36,0xdc,0xc7}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xcf,0x98,0x18,0x43,0xeb,0x5d,0xd7,0x16,0xf1,0x50}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc8,0x76,0xb8,0x89,0x52,0x6f,0x23,0x93,0xe5,0x24}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc9,0x3e,0xe1,0xbf,0xef,0xc8,0x22,0x97,0xae,0x51}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc9,0x82,0xc3,0xcc,0x29,0x07,0x0b,0x8d,0x6f,0xfb}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xc9,0xfe,0x7a,0x81,0x62,0x35,0x52,0xf7,0x02,0x0c}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xca,0x33,0x3a,0xdc,0x87,0x62,0x7a,0xc2,0x1d,0xe6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xca,0x50,0x8d,0xe0,0x82,0x1c,0x59,0x0f,0xef,0x1b}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xca,0xa3,0x66,0x19,0x34,0xac,0xb2,0x0f,0x60,0x9a}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xcb,0xb3,0xa0,0x39,0xf6,0x46,0xec,0x5a,0x42,0xc6}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xcc,0xc6,0x22,0xb4,0xfc,0xf7,0xff,0xb0,0xa2,0xb4}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xcd,0x2e,0x71,0x78,0x7b,0x6d,0x9e,0x61,0x70,0x05}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xcd,0x31,0x38,0x94,0x95,0xca,0x44,0xf4,0x65,0x68}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xcd,0x61,0xe1,0xbe,0x7b,0x46,0x9c,0x51,0xbf,0x66}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xcd,0xac,0xcf,0x18,0x1f,0xa6,0x8f,0x02,0x6a,0x43}, 8333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xce,0x20,0x1e,0x2c,0x8d,0x2c,0x9e,0xd9,0xa7,0xac}, 8333}
+static const uint8_t chainparams_seed_main[] = {
+ 0x01,0x04,0x02,0x27,0xad,0x7e,0x20,0x8d,
+ 0x01,0x04,0x03,0x0e,0xa8,0xc9,0xbc,0xcd,
+ 0x01,0x04,0x04,0x24,0x70,0x2c,0x20,0x8d,
+ 0x01,0x04,0x05,0x08,0x12,0x1f,0x20,0x8d,
+ 0x01,0x04,0x05,0x0e,0xc8,0xa7,0x20,0x8d,
+ 0x01,0x04,0x05,0x38,0x14,0x02,0x20,0x8d,
+ 0x01,0x04,0x05,0x66,0x92,0x63,0x20,0x8d,
+ 0x01,0x04,0x05,0x67,0x89,0x92,0x24,0x75,
+ 0x01,0x04,0x05,0x80,0x57,0x7e,0x20,0x8d,
+ 0x01,0x04,0x05,0x85,0x41,0x52,0x20,0x8d,
+ 0x01,0x04,0x05,0xbb,0x37,0xf2,0x20,0x8d,
+ 0x01,0x04,0x05,0xbc,0x3e,0x18,0x20,0x8d,
+ 0x01,0x04,0x05,0xbc,0x3e,0x21,0x20,0x8d,
+ 0x01,0x04,0x05,0xc7,0x85,0xc1,0x20,0x8d,
+ 0x01,0x04,0x08,0x26,0x59,0x98,0x20,0x8d,
+ 0x01,0x04,0x0d,0xe7,0x14,0xf9,0x20,0x8d,
+ 0x01,0x04,0x12,0x1b,0x4f,0x11,0x20,0x8d,
+ 0x01,0x04,0x14,0xb8,0x0f,0x74,0x20,0xf1,
+ 0x01,0x04,0x17,0x1c,0xcd,0x61,0x20,0x8d,
+ 0x01,0x04,0x17,0x6a,0xfc,0xe6,0x20,0x8d,
+ 0x01,0x04,0x17,0xaf,0x00,0xca,0x20,0x8d,
+ 0x01,0x04,0x17,0xaf,0x00,0xd4,0x20,0x8d,
+ 0x01,0x04,0x17,0xf1,0xfa,0xfc,0x20,0x8d,
+ 0x01,0x04,0x17,0xf5,0x18,0x9a,0x20,0x8d,
+ 0x01,0x04,0x18,0x56,0xb8,0x42,0x20,0x8d,
+ 0x01,0x04,0x18,0x74,0xf6,0x09,0x20,0x8d,
+ 0x01,0x04,0x18,0x8d,0x22,0xa6,0x20,0x8d,
+ 0x01,0x04,0x18,0x9b,0xc4,0xf6,0x20,0x8d,
+ 0x01,0x04,0x18,0x9d,0x82,0xde,0x20,0x8d,
+ 0x01,0x04,0x18,0xbc,0xb0,0xff,0x20,0x8d,
+ 0x01,0x04,0x18,0xed,0x46,0x35,0x20,0x8d,
+ 0x01,0x04,0x1b,0x7c,0x04,0x43,0x20,0x8d,
+ 0x01,0x04,0x1f,0x11,0x46,0x50,0x20,0x8d,
+ 0x01,0x04,0x1f,0x15,0x08,0x20,0x20,0x8d,
+ 0x01,0x04,0x1f,0x2d,0x76,0x0a,0x20,0x8d,
+ 0x01,0x04,0x1f,0x84,0x11,0x38,0x20,0x8d,
+ 0x01,0x04,0x1f,0x86,0x79,0xdf,0x20,0x8d,
+ 0x01,0x04,0x20,0xd6,0xb7,0x72,0x20,0x8d,
+ 0x01,0x04,0x23,0x89,0xec,0x20,0x20,0x8d,
+ 0x01,0x04,0x23,0xb9,0x91,0x69,0x20,0x8d,
+ 0x01,0x04,0x23,0xd1,0x33,0xd4,0x20,0x8d,
+ 0x01,0x04,0x23,0xf5,0xaf,0x4c,0x20,0x8d,
+ 0x01,0x04,0x25,0x74,0x5f,0x29,0x20,0x8d,
+ 0x01,0x04,0x25,0x8f,0x09,0x6b,0x20,0x8d,
+ 0x01,0x04,0x25,0x8f,0x74,0x2b,0x20,0x8d,
+ 0x01,0x04,0x25,0xbf,0xf4,0x95,0x20,0x8d,
+ 0x01,0x04,0x25,0xd3,0x4e,0xfd,0x20,0x8d,
+ 0x01,0x04,0x25,0xdd,0xd1,0xde,0x5f,0x0d,
+ 0x01,0x04,0x25,0xe4,0x5c,0x6e,0x20,0x8d,
+ 0x01,0x04,0x2b,0xe1,0x3e,0x6b,0x20,0x8d,
+ 0x01,0x04,0x2b,0xe1,0x9d,0x98,0x20,0x8d,
+ 0x01,0x04,0x2d,0x24,0xb8,0x06,0x20,0x8d,
+ 0x01,0x04,0x2d,0x30,0xa8,0x10,0x20,0x8d,
+ 0x01,0x04,0x2d,0x55,0x55,0x08,0x20,0x8d,
+ 0x01,0x04,0x2d,0x55,0x55,0x09,0x20,0x8d,
+ 0x01,0x04,0x2d,0x81,0xb4,0xd6,0x20,0x8d,
+ 0x01,0x04,0x2d,0x95,0x4e,0x80,0x20,0x8d,
+ 0x01,0x04,0x2d,0x97,0x7d,0xda,0x20,0x8d,
+ 0x01,0x04,0x2d,0x9a,0xff,0x2e,0x20,0x8d,
+ 0x01,0x04,0x2d,0x9b,0x9d,0xef,0x20,0x8d,
+ 0x01,0x04,0x2e,0x1c,0x84,0x22,0x20,0x8d,
+ 0x01,0x04,0x2e,0x1c,0xcc,0x15,0x20,0x8d,
+ 0x01,0x04,0x2e,0x20,0x32,0x62,0x20,0x8d,
+ 0x01,0x04,0x2e,0x3b,0x0d,0x23,0x20,0x8d,
+ 0x01,0x04,0x2e,0x80,0x28,0xad,0x20,0x8d,
+ 0x01,0x04,0x2e,0x80,0x8c,0xc1,0x20,0x8d,
+ 0x01,0x04,0x2e,0x92,0xf8,0x59,0x20,0x8d,
+ 0x01,0x04,0x2e,0xa6,0xa2,0x2d,0x4e,0x21,
+ 0x01,0x04,0x2e,0xbc,0x0f,0x06,0x20,0x8d,
+ 0x01,0x04,0x2e,0xe5,0xa5,0x8e,0x20,0x8d,
+ 0x01,0x04,0x2e,0xe5,0xee,0xbb,0x20,0x8d,
+ 0x01,0x04,0x2e,0xf9,0x53,0x52,0x20,0x8d,
+ 0x01,0x04,0x2e,0xfe,0xd9,0xa9,0x20,0x8d,
+ 0x01,0x04,0x2f,0x4a,0xbf,0x22,0x20,0x8d,
+ 0x01,0x04,0x2f,0x73,0x35,0xa3,0x20,0x8d,
+ 0x01,0x04,0x2f,0xbb,0x1a,0x87,0x20,0x8d,
+ 0x01,0x04,0x2f,0xde,0x67,0xea,0x20,0x8d,
+ 0x01,0x04,0x2f,0xfd,0x05,0x63,0x20,0x8d,
+ 0x01,0x04,0x31,0xe8,0x52,0x4c,0x20,0x8d,
+ 0x01,0x04,0x31,0xf7,0xd7,0x2b,0x20,0x8d,
+ 0x01,0x04,0x32,0x02,0x0d,0xa6,0x20,0x8d,
+ 0x01,0x04,0x32,0x22,0x27,0x48,0x20,0x8d,
+ 0x01,0x04,0x32,0x2d,0xe8,0xbd,0x20,0x8d,
+ 0x01,0x04,0x32,0x44,0x68,0x5c,0x20,0x8d,
+ 0x01,0x04,0x33,0x44,0x24,0x39,0x20,0x8d,
+ 0x01,0x04,0x33,0x9a,0x3c,0x22,0x20,0x8d,
+ 0x01,0x04,0x34,0xa9,0xee,0x42,0x20,0x8d,
+ 0x01,0x04,0x36,0xc5,0x1e,0xdf,0x20,0x8d,
+ 0x01,0x04,0x36,0xe3,0x42,0x39,0x20,0x8d,
+ 0x01,0x04,0x3a,0x9e,0x00,0x56,0x20,0x8d,
+ 0x01,0x04,0x3a,0xab,0x87,0xf2,0x20,0x8d,
+ 0x01,0x04,0x3a,0xe5,0xd0,0x9e,0x20,0x8d,
+ 0x01,0x04,0x3c,0xf4,0x6d,0x13,0x20,0x8d,
+ 0x01,0x04,0x3e,0x26,0x4b,0xd0,0x20,0x8d,
+ 0x01,0x04,0x3e,0x4a,0x8f,0x0b,0x20,0x8d,
+ 0x01,0x04,0x3e,0x50,0xe3,0x31,0x20,0x8d,
+ 0x01,0x04,0x3e,0x98,0x3a,0x10,0x24,0xcd,
+ 0x01,0x04,0x3e,0xd2,0xa7,0xc7,0x20,0x8d,
+ 0x01,0x04,0x3e,0xea,0xbc,0xa0,0x20,0x8d,
+ 0x01,0x04,0x3e,0xfb,0x36,0xa3,0x20,0x8d,
+ 0x01,0x04,0x3f,0xe3,0x74,0xa2,0x20,0x8d,
+ 0x01,0x04,0x41,0x13,0x9b,0x52,0x20,0x8d,
+ 0x01,0x04,0x41,0x5f,0x31,0x66,0x20,0x8d,
+ 0x01,0x04,0x42,0x12,0xac,0x15,0x20,0x8d,
+ 0x01,0x04,0x42,0xf0,0xed,0x9b,0x20,0x8d,
+ 0x01,0x04,0x43,0xd2,0xe4,0xcb,0x20,0x8d,
+ 0x01,0x04,0x45,0x1e,0xd7,0x2a,0x20,0x8d,
+ 0x01,0x04,0x45,0x3b,0x12,0xce,0x20,0x8d,
+ 0x01,0x04,0x45,0x40,0x21,0x47,0x20,0x8d,
+ 0x01,0x04,0x45,0x77,0xc1,0x09,0x20,0x8d,
+ 0x01,0x04,0x45,0xd1,0x17,0x48,0x20,0x8d,
+ 0x01,0x04,0x46,0x7b,0x7d,0xed,0x20,0x8d,
+ 0x01,0x04,0x46,0xb9,0x38,0x88,0x20,0x8d,
+ 0x01,0x04,0x47,0x26,0x5a,0xeb,0x20,0x8d,
+ 0x01,0x04,0x48,0x0c,0x49,0x46,0x20,0x8d,
+ 0x01,0x04,0x48,0x35,0x86,0xb6,0x20,0x8d,
+ 0x01,0x04,0x48,0xe1,0x07,0x50,0x20,0x8d,
+ 0x01,0x04,0x48,0xea,0xb6,0x27,0x20,0x8d,
+ 0x01,0x04,0x48,0xfa,0xb8,0x39,0x20,0x8d,
+ 0x01,0x04,0x49,0x53,0x67,0x4f,0x20,0x8d,
+ 0x01,0x04,0x4a,0x76,0x89,0x77,0x20,0x8d,
+ 0x01,0x04,0x4a,0x85,0x64,0x4a,0x20,0x8d,
+ 0x01,0x04,0x4a,0xd7,0xdb,0xd6,0x20,0x8d,
+ 0x01,0x04,0x4a,0xdc,0xff,0xbe,0x20,0x8d,
+ 0x01,0x04,0x4b,0x9e,0x27,0xe7,0x20,0x8d,
+ 0x01,0x04,0x4d,0x35,0x35,0xc4,0x20,0x8d,
+ 0x01,0x04,0x4d,0x46,0x10,0xf5,0x20,0x8d,
+ 0x01,0x04,0x4d,0x69,0x57,0x61,0x20,0x8d,
+ 0x01,0x04,0x4d,0x78,0x71,0x45,0x20,0xf1,
+ 0x01,0x04,0x4d,0x78,0x7a,0x16,0x20,0xf1,
+ 0x01,0x04,0x4d,0xa6,0x53,0xa7,0x20,0x8d,
+ 0x01,0x04,0x4d,0xf7,0xb2,0x82,0x20,0x8d,
+ 0x01,0x04,0x4e,0x1b,0x8b,0x0d,0x20,0x8d,
+ 0x01,0x04,0x4e,0x3f,0x1c,0x92,0x20,0x8d,
+ 0x01,0x04,0x4e,0x53,0x67,0x04,0x20,0x8d,
+ 0x01,0x04,0x4e,0x8d,0x7b,0x63,0x20,0x8d,
+ 0x01,0x04,0x4f,0x4d,0x21,0x83,0x20,0x8d,
+ 0x01,0x04,0x4f,0x4d,0x85,0x1e,0x20,0x8d,
+ 0x01,0x04,0x4f,0x65,0x01,0x19,0x20,0x8d,
+ 0x01,0x04,0x4f,0x75,0xc0,0xe5,0x20,0x8d,
+ 0x01,0x04,0x4f,0x85,0xe4,0x37,0x20,0x8d,
+ 0x01,0x04,0x4f,0x92,0x15,0xa3,0x20,0x8d,
+ 0x01,0x04,0x50,0x59,0xcb,0xac,0x1f,0x41,
+ 0x01,0x04,0x50,0x5d,0xd5,0xf6,0x20,0x8d,
+ 0x01,0x04,0x50,0xc0,0x62,0x6e,0x20,0x8e,
+ 0x01,0x04,0x50,0xe5,0x1c,0x3c,0x20,0x8d,
+ 0x01,0x04,0x50,0xe8,0xf7,0xd2,0x20,0x8d,
+ 0x01,0x04,0x50,0xf2,0x27,0x4c,0x20,0x8d,
+ 0x01,0x04,0x50,0xfd,0x5e,0xfc,0x20,0x8d,
+ 0x01,0x04,0x51,0x00,0xc6,0x19,0x20,0x8d,
+ 0x01,0x04,0x51,0x07,0x0d,0x54,0x20,0x8d,
+ 0x01,0x04,0x51,0x75,0xe1,0xf5,0x20,0x8d,
+ 0x01,0x04,0x51,0x87,0x89,0xe1,0x20,0x8d,
+ 0x01,0x04,0x51,0xab,0x16,0x8f,0x20,0x8d,
+ 0x01,0x04,0x51,0xbf,0xe9,0x86,0x20,0x8d,
+ 0x01,0x04,0x51,0xe8,0x4e,0x4b,0x20,0x8d,
+ 0x01,0x04,0x51,0xf2,0x5b,0x17,0x20,0x8d,
+ 0x01,0x04,0x52,0x1d,0x3a,0x6d,0x20,0x8d,
+ 0x01,0x04,0x52,0x88,0x63,0x16,0x20,0x8d,
+ 0x01,0x04,0x52,0x95,0x61,0x19,0x44,0x9f,
+ 0x01,0x04,0x52,0xa5,0x13,0x30,0x20,0x8d,
+ 0x01,0x04,0x52,0xc2,0x99,0xe9,0x20,0x8d,
+ 0x01,0x04,0x52,0xc5,0xd7,0x7d,0x20,0x8d,
+ 0x01,0x04,0x52,0xc7,0x66,0x0a,0x20,0x8d,
+ 0x01,0x04,0x52,0xc8,0xcd,0x1e,0x20,0x8d,
+ 0x01,0x04,0x52,0xca,0x44,0xe7,0x20,0x8d,
+ 0x01,0x04,0x52,0xdd,0x80,0x1f,0x20,0x8d,
+ 0x01,0x04,0x52,0xe4,0x06,0x83,0x20,0x8d,
+ 0x01,0x04,0x53,0x55,0x8b,0x5e,0x20,0x8d,
+ 0x01,0x04,0x53,0x63,0xf5,0x14,0x20,0x8d,
+ 0x01,0x04,0x53,0x89,0x29,0x0a,0x20,0x8d,
+ 0x01,0x04,0x53,0xae,0xd1,0x57,0x20,0x8d,
+ 0x01,0x04,0x53,0xd9,0x08,0x1f,0xad,0x84,
+ 0x01,0x04,0x54,0x26,0x03,0xf9,0x20,0x8d,
+ 0x01,0x04,0x54,0x26,0xb9,0x7a,0x20,0x8d,
+ 0x01,0x04,0x54,0x5c,0x5c,0xf7,0x20,0x8d,
+ 0x01,0x04,0x54,0xc0,0x10,0xea,0x20,0x8d,
+ 0x01,0x04,0x54,0xc2,0x9e,0x7c,0x20,0x8d,
+ 0x01,0x04,0x54,0xd4,0x91,0x18,0x20,0x8d,
+ 0x01,0x04,0x54,0xd4,0xf4,0x5f,0x20,0x8d,
+ 0x01,0x04,0x54,0xd8,0x33,0x24,0x20,0x8d,
+ 0x01,0x04,0x54,0xff,0xf9,0xa3,0x20,0x8d,
+ 0x01,0x04,0x55,0x19,0xff,0x93,0x20,0x8d,
+ 0x01,0x04,0x55,0x46,0x9c,0xd1,0x20,0x8d,
+ 0x01,0x04,0x55,0x91,0x8e,0x2e,0x20,0x8d,
+ 0x01,0x04,0x55,0xaa,0xe9,0x5f,0x20,0x8d,
+ 0x01,0x04,0x55,0xb8,0x8a,0x6c,0x20,0x8d,
+ 0x01,0x04,0x55,0xbe,0x00,0x05,0x20,0x8d,
+ 0x01,0x04,0x55,0xbf,0xc8,0x33,0x20,0x8d,
+ 0x01,0x04,0x55,0xc0,0xbf,0x06,0x48,0x44,
+ 0x01,0x04,0x55,0xc2,0xee,0x83,0x20,0x8d,
+ 0x01,0x04,0x55,0xc3,0x36,0x6e,0x20,0x8d,
+ 0x01,0x04,0x55,0xd6,0xa1,0xfc,0x20,0x8d,
+ 0x01,0x04,0x55,0xd6,0xb9,0x33,0x20,0x8d,
+ 0x01,0x04,0x55,0xf1,0x6a,0xcb,0x20,0x8d,
+ 0x01,0x04,0x55,0xf6,0xa8,0xfc,0x20,0x8d,
+ 0x01,0x04,0x56,0x38,0xee,0xf7,0x20,0x8d,
+ 0x01,0x04,0x57,0x3d,0x5a,0xe6,0x20,0x8d,
+ 0x01,0x04,0x57,0x4f,0x44,0x56,0x20,0x8d,
+ 0x01,0x04,0x57,0x4f,0x5e,0xdd,0x20,0x8d,
+ 0x01,0x04,0x57,0x78,0x08,0x05,0x4e,0x28,
+ 0x01,0x04,0x57,0xf6,0x2e,0x84,0x20,0x8d,
+ 0x01,0x04,0x57,0xf7,0x6f,0xde,0x20,0x8d,
+ 0x01,0x04,0x58,0x54,0xde,0xfc,0x20,0x8d,
+ 0x01,0x04,0x58,0x56,0xf3,0xf1,0x20,0x8d,
+ 0x01,0x04,0x58,0x57,0x5d,0x34,0x06,0x9b,
+ 0x01,0x04,0x58,0x77,0xc5,0xc8,0x20,0x8d,
+ 0x01,0x04,0x58,0x81,0xfd,0x5e,0x20,0x8d,
+ 0x01,0x04,0x58,0x93,0xf4,0xfa,0x20,0x8d,
+ 0x01,0x04,0x58,0xd0,0x03,0xc3,0x20,0x8d,
+ 0x01,0x04,0x58,0xd4,0x2c,0x21,0x20,0x8d,
+ 0x01,0x04,0x58,0xd6,0x39,0x5f,0x20,0x8d,
+ 0x01,0x04,0x59,0x6a,0xc7,0x26,0x20,0x8d,
+ 0x01,0x04,0x59,0x6c,0x7e,0xe4,0x20,0x8d,
+ 0x01,0x04,0x59,0x73,0x78,0x2b,0x20,0x8d,
+ 0x01,0x04,0x59,0x85,0x44,0x41,0x20,0x8d,
+ 0x01,0x04,0x59,0xbe,0x13,0xa2,0x20,0x8d,
+ 0x01,0x04,0x59,0xf8,0xac,0x0a,0x20,0x8d,
+ 0x01,0x04,0x5a,0x92,0x99,0x15,0x20,0x8d,
+ 0x01,0x04,0x5a,0xb6,0xa5,0x12,0x20,0x8d,
+ 0x01,0x04,0x5b,0x6a,0xbc,0xe5,0x20,0x8d,
+ 0x01,0x04,0x5b,0xc1,0xed,0x74,0x20,0x8d,
+ 0x01,0x04,0x5b,0xcc,0x63,0xb2,0x20,0x8d,
+ 0x01,0x04,0x5b,0xcc,0x95,0x05,0x20,0x8d,
+ 0x01,0x04,0x5b,0xd6,0x46,0x3f,0x20,0x8d,
+ 0x01,0x04,0x5b,0xe4,0x98,0xec,0x20,0x8d,
+ 0x01,0x04,0x5c,0x0c,0x9a,0x73,0x20,0x8d,
+ 0x01,0x04,0x5c,0xf9,0x8f,0x2c,0x20,0x8d,
+ 0x01,0x04,0x5d,0x0c,0x42,0x62,0x20,0x8d,
+ 0x01,0x04,0x5d,0x2e,0x36,0x04,0x20,0x8d,
+ 0x01,0x04,0x5d,0x73,0x14,0x82,0x20,0x8d,
+ 0x01,0x04,0x5d,0x7b,0xb4,0xa4,0x20,0x8d,
+ 0x01,0x04,0x5d,0xbd,0x91,0xa9,0x20,0x8d,
+ 0x01,0x04,0x5d,0xf1,0xe4,0x66,0x20,0x8d,
+ 0x01,0x04,0x5e,0x13,0x07,0x37,0x20,0x8d,
+ 0x01,0x04,0x5e,0x13,0x80,0xcc,0x20,0x8d,
+ 0x01,0x04,0x5e,0x34,0x70,0xe3,0x20,0x8d,
+ 0x01,0x04,0x5e,0x9a,0x60,0x82,0x20,0x8d,
+ 0x01,0x04,0x5e,0x9c,0xae,0xc9,0x20,0x8d,
+ 0x01,0x04,0x5e,0x9e,0xf6,0xb7,0x20,0x8d,
+ 0x01,0x04,0x5e,0xb1,0xab,0x49,0x20,0x8d,
+ 0x01,0x04,0x5e,0xc7,0xb2,0xe9,0x1f,0xa4,
+ 0x01,0x04,0x5e,0xed,0x7d,0x1e,0x20,0x8d,
+ 0x01,0x04,0x5e,0xf7,0x86,0x4d,0x20,0x8d,
+ 0x01,0x04,0x5f,0x30,0xe4,0x2d,0x20,0x8d,
+ 0x01,0x04,0x5f,0x45,0xf9,0x3f,0x20,0x8d,
+ 0x01,0x04,0x5f,0x52,0x92,0x46,0x20,0x8d,
+ 0x01,0x04,0x5f,0x53,0x49,0x1f,0x20,0x8d,
+ 0x01,0x04,0x5f,0x54,0xa4,0x2b,0x20,0x8d,
+ 0x01,0x04,0x5f,0x57,0xe2,0x38,0x20,0x8d,
+ 0x01,0x04,0x5f,0x6e,0xea,0x5d,0x20,0x8d,
+ 0x01,0x04,0x5f,0xa3,0x47,0x7e,0x20,0x8d,
+ 0x01,0x04,0x5f,0xa4,0x41,0xc2,0x20,0x8d,
+ 0x01,0x04,0x5f,0xae,0x42,0xd3,0x20,0x8d,
+ 0x01,0x04,0x5f,0xd3,0xae,0x89,0x20,0x8d,
+ 0x01,0x04,0x5f,0xd8,0x0b,0x9c,0x20,0xf1,
+ 0x01,0x04,0x60,0x2f,0x72,0x6c,0x20,0x8d,
+ 0x01,0x04,0x61,0x54,0xe8,0x69,0x20,0x8d,
+ 0x01,0x04,0x61,0x63,0xcd,0xf1,0x20,0x8d,
+ 0x01,0x04,0x62,0x19,0xc1,0x72,0x20,0x8d,
+ 0x01,0x04,0x63,0x73,0x19,0x0d,0x20,0x8d,
+ 0x01,0x04,0x65,0x20,0x13,0xb8,0x20,0x8d,
+ 0x01,0x04,0x65,0x64,0xae,0xf0,0x20,0x8d,
+ 0x01,0x04,0x66,0x84,0xf5,0x10,0x20,0x8d,
+ 0x01,0x04,0x67,0x0e,0xf4,0xbe,0x20,0x8d,
+ 0x01,0x04,0x67,0x4c,0x30,0x05,0x20,0x8d,
+ 0x01,0x04,0x67,0x54,0x54,0xfa,0x20,0x8f,
+ 0x01,0x04,0x67,0x63,0xa8,0x96,0x20,0x8d,
+ 0x01,0x04,0x67,0x6d,0x65,0xd8,0x20,0x8d,
+ 0x01,0x04,0x67,0x7a,0xf7,0x66,0x20,0x8d,
+ 0x01,0x04,0x67,0x81,0x0d,0x2d,0x20,0x8d,
+ 0x01,0x04,0x67,0xc6,0xc0,0x0e,0x4e,0x28,
+ 0x01,0x04,0x67,0xe0,0x77,0x63,0x20,0x8d,
+ 0x01,0x04,0x67,0xe7,0xbf,0x07,0x20,0x8d,
+ 0x01,0x04,0x67,0xeb,0xe6,0xc4,0x20,0x8d,
+ 0x01,0x04,0x68,0xab,0xf2,0x9b,0x20,0x8d,
+ 0x01,0x04,0x68,0xee,0xdc,0xc7,0x20,0x8d,
+ 0x01,0x04,0x6a,0xa3,0x9e,0x7f,0x20,0x8d,
+ 0x01,0x04,0x6b,0x96,0x29,0xb3,0x20,0x8d,
+ 0x01,0x04,0x6b,0x9f,0x5d,0x67,0x20,0x8d,
+ 0x01,0x04,0x6c,0xb7,0x4d,0x0c,0x20,0x8d,
+ 0x01,0x04,0x6d,0x09,0xaf,0x41,0x20,0x8d,
+ 0x01,0x04,0x6d,0x63,0x3f,0x9f,0x20,0x8d,
+ 0x01,0x04,0x6d,0x6e,0x51,0x5a,0x20,0x8d,
+ 0x01,0x04,0x6d,0x7b,0xd5,0x82,0x20,0x8d,
+ 0x01,0x04,0x6d,0x86,0xe8,0x51,0x20,0x8d,
+ 0x01,0x04,0x6d,0xa9,0x14,0xa8,0x20,0x8d,
+ 0x01,0x04,0x6d,0xc7,0xf1,0x94,0x20,0x8d,
+ 0x01,0x04,0x6d,0xe5,0xd2,0x06,0x20,0x8d,
+ 0x01,0x04,0x6d,0xec,0x69,0x28,0x20,0x8d,
+ 0x01,0x04,0x6d,0xf8,0xce,0x0d,0x20,0x8d,
+ 0x01,0x04,0x6f,0x2a,0x4a,0x41,0x20,0x8d,
+ 0x01,0x04,0x6f,0x5a,0x8c,0xb3,0x20,0x8d,
+ 0x01,0x04,0x70,0xd7,0xcd,0xec,0x20,0x8d,
+ 0x01,0x04,0x71,0x34,0x87,0x7d,0x20,0x8d,
+ 0x01,0x04,0x72,0x17,0xf6,0x89,0x20,0x8d,
+ 0x01,0x04,0x73,0x2f,0x8d,0xfa,0x22,0xb5,
+ 0x01,0x04,0x73,0x46,0x6e,0x04,0x20,0x8d,
+ 0x01,0x04,0x74,0x22,0xbd,0x37,0x20,0x8d,
+ 0x01,0x04,0x76,0x67,0x7e,0x8c,0x6e,0xad,
+ 0x01,0x04,0x76,0xbd,0xbb,0xdb,0x20,0x8d,
+ 0x01,0x04,0x77,0x03,0xd0,0xec,0x20,0x8d,
+ 0x01,0x04,0x77,0x08,0x2f,0xe1,0x20,0x8d,
+ 0x01,0x04,0x77,0x11,0x97,0x3d,0x20,0x8d,
+ 0x01,0x04,0x78,0x19,0x18,0x1e,0x20,0x8d,
+ 0x01,0x04,0x78,0xf1,0x22,0x0a,0x20,0x8d,
+ 0x01,0x04,0x79,0x62,0xcd,0x64,0x20,0x8d,
+ 0x01,0x04,0x7a,0x70,0x94,0x99,0x20,0x93,
+ 0x01,0x04,0x7a,0x74,0x2a,0x8c,0x20,0x8d,
+ 0x01,0x04,0x7c,0xd9,0xeb,0xb4,0x20,0x8d,
+ 0x01,0x04,0x7d,0xec,0xd7,0x85,0x20,0x8d,
+ 0x01,0x04,0x81,0x0d,0xbd,0xd4,0x20,0x8d,
+ 0x01,0x04,0x82,0xb9,0x4d,0x69,0x20,0x8d,
+ 0x01,0x04,0x83,0xbc,0x28,0xbf,0x20,0x8d,
+ 0x01,0x04,0x83,0xc1,0xdc,0x0f,0x20,0x8d,
+ 0x01,0x04,0x87,0x17,0x7c,0xef,0x20,0x8d,
+ 0x01,0x04,0x88,0x21,0xb9,0x20,0x20,0x8d,
+ 0x01,0x04,0x88,0x38,0xaa,0x60,0x20,0x8d,
+ 0x01,0x04,0x89,0xe2,0x22,0x2e,0x20,0x8d,
+ 0x01,0x04,0x8a,0xe5,0x1a,0x2a,0x20,0x8d,
+ 0x01,0x04,0x8b,0x09,0xf9,0xea,0x20,0x8d,
+ 0x01,0x04,0x8d,0x65,0x08,0x24,0x20,0x8d,
+ 0x01,0x04,0x8f,0xb0,0xe0,0x68,0x20,0x8d,
+ 0x01,0x04,0x90,0x02,0x45,0xe0,0x20,0x8d,
+ 0x01,0x04,0x90,0x22,0xa1,0x41,0x47,0x9d,
+ 0x01,0x04,0x90,0x5b,0x74,0x2c,0x20,0x8d,
+ 0x01,0x04,0x90,0x89,0x1d,0xb5,0x20,0x8d,
+ 0x01,0x04,0x94,0x42,0x32,0x32,0x20,0x8f,
+ 0x01,0x04,0x94,0x48,0x96,0xe7,0x20,0x8d,
+ 0x01,0x04,0x94,0xaa,0xd4,0x2c,0x20,0x8d,
+ 0x01,0x04,0x95,0xa7,0x63,0xbe,0x20,0x8d,
+ 0x01,0x04,0x9a,0x5c,0x10,0xbf,0x20,0x8d,
+ 0x01,0x04,0x9a,0xdd,0x1b,0x15,0x20,0x8d,
+ 0x01,0x04,0x9c,0x13,0x13,0x5a,0x20,0x8d,
+ 0x01,0x04,0x9c,0xf1,0x05,0xbe,0x20,0x8d,
+ 0x01,0x04,0x9d,0x0d,0x3d,0x4c,0x20,0x8d,
+ 0x01,0x04,0x9d,0x0d,0x3d,0x50,0x20,0x8d,
+ 0x01,0x04,0x9d,0xe6,0xa6,0x62,0x38,0x37,
+ 0x01,0x04,0x9e,0x4b,0xcb,0x02,0x20,0x8d,
+ 0x01,0x04,0x9e,0xb5,0x7d,0x96,0x20,0x8d,
+ 0x01,0x04,0x9e,0xb5,0xe2,0x21,0x20,0x8d,
+ 0x01,0x04,0x9f,0x64,0xf2,0xfe,0x20,0x8d,
+ 0x01,0x04,0x9f,0x64,0xf8,0xea,0x20,0x8d,
+ 0x01,0x04,0x9f,0x8a,0x57,0x12,0x20,0x8d,
+ 0x01,0x04,0xa0,0x10,0x00,0x1e,0x20,0x8d,
+ 0x01,0x04,0xa2,0x00,0xe3,0x36,0x20,0x8d,
+ 0x01,0x04,0xa2,0x00,0xe3,0x38,0x20,0x8d,
+ 0x01,0x04,0xa2,0x3e,0x12,0xe2,0x20,0x8d,
+ 0x01,0x04,0xa2,0xd1,0x01,0xe9,0x20,0x8d,
+ 0x01,0x04,0xa2,0xf3,0xaf,0x56,0x20,0x8d,
+ 0x01,0x04,0xa2,0xf4,0x50,0xd0,0x20,0x8d,
+ 0x01,0x04,0xa2,0xfa,0xbc,0x57,0x20,0x8d,
+ 0x01,0x04,0xa2,0xfa,0xbd,0x35,0x20,0x8d,
+ 0x01,0x04,0xa3,0x9e,0xca,0x70,0x20,0x8d,
+ 0x01,0x04,0xa3,0x9e,0xf3,0xe6,0x20,0x8d,
+ 0x01,0x04,0xa5,0x49,0x3e,0x1f,0x20,0x8d,
+ 0x01,0x04,0xa6,0x3e,0x52,0x67,0x80,0x03,
+ 0x01,0x04,0xa6,0x46,0x5e,0x6a,0x20,0x8d,
+ 0x01,0x04,0xa7,0x56,0x5a,0xef,0x20,0x8d,
+ 0x01,0x04,0xa9,0x2c,0x22,0xcb,0x20,0x8d,
+ 0x01,0x04,0xac,0x5d,0x65,0x49,0x20,0x8d,
+ 0x01,0x04,0xac,0x69,0x07,0x2f,0x20,0x8d,
+ 0x01,0x04,0xad,0x17,0x67,0x1e,0x1f,0x40,
+ 0x01,0x04,0xad,0x35,0x4f,0x06,0x20,0x8d,
+ 0x01,0x04,0xad,0x46,0x0c,0x56,0x20,0x8d,
+ 0x01,0x04,0xad,0x59,0x1c,0x89,0x20,0x8d,
+ 0x01,0x04,0xad,0xb0,0xb8,0x36,0x20,0x8d,
+ 0x01,0x04,0xad,0xd0,0x80,0x0a,0x20,0x8d,
+ 0x01,0x04,0xad,0xfe,0xcc,0x45,0x20,0x8d,
+ 0x01,0x04,0xad,0xff,0xcc,0x7c,0x20,0x8d,
+ 0x01,0x04,0xae,0x5e,0x9b,0xe0,0x20,0x8d,
+ 0x01,0x04,0xae,0x72,0x66,0x29,0x20,0x8d,
+ 0x01,0x04,0xae,0x72,0x7c,0x0c,0x20,0x8d,
+ 0x01,0x04,0xb0,0x0a,0xe3,0x3b,0x20,0x8d,
+ 0x01,0x04,0xb0,0x1f,0xe0,0xd6,0x20,0x8d,
+ 0x01,0x04,0xb0,0x4a,0x88,0xed,0x20,0x8d,
+ 0x01,0x04,0xb0,0x63,0x02,0xcf,0x20,0x8d,
+ 0x01,0x04,0xb0,0x6a,0xbf,0x02,0x20,0x8d,
+ 0x01,0x04,0xb0,0xa0,0xe4,0x09,0x20,0x8d,
+ 0x01,0x04,0xb0,0xbf,0xb6,0x03,0x20,0x8d,
+ 0x01,0x04,0xb0,0xd4,0xb9,0x99,0x20,0x8d,
+ 0x01,0x04,0xb0,0xf1,0x89,0xb7,0x20,0x8d,
+ 0x01,0x04,0xb1,0x26,0xd7,0x49,0x20,0x8d,
+ 0x01,0x04,0xb2,0x10,0xde,0x92,0x20,0x8d,
+ 0x01,0x04,0xb2,0x84,0x02,0xf6,0x20,0x8d,
+ 0x01,0x04,0xb2,0x8f,0xbf,0xab,0x20,0x8d,
+ 0x01,0x04,0xb2,0x94,0xac,0xd1,0x20,0x8d,
+ 0x01,0x04,0xb2,0x94,0xe2,0xb4,0x20,0x8d,
+ 0x01,0x04,0xb2,0x96,0x60,0x2e,0x20,0x8d,
+ 0x01,0x04,0xb2,0xb6,0xe3,0x32,0x20,0x8d,
+ 0x01,0x04,0xb2,0xec,0x89,0x3f,0x20,0x8d,
+ 0x01,0x04,0xb2,0xff,0x2a,0x7e,0x20,0x8d,
+ 0x01,0x04,0xb4,0x96,0x34,0x25,0x20,0x8d,
+ 0x01,0x04,0xb5,0x27,0x20,0x63,0x20,0x8d,
+ 0x01,0x04,0xb5,0x30,0x4d,0x1a,0x20,0x8d,
+ 0x01,0x04,0xb5,0x34,0xdf,0x34,0x20,0x8d,
+ 0x01,0x04,0xb5,0xee,0x33,0x98,0x20,0x8d,
+ 0x01,0x04,0xb7,0x58,0xdf,0xd0,0x20,0x8d,
+ 0x01,0x04,0xb7,0x6e,0xdc,0xd2,0x76,0x5d,
+ 0x01,0x04,0xb8,0x5f,0x3a,0xa6,0x20,0x90,
+ 0x01,0x04,0xb8,0xa4,0x93,0x52,0xa1,0x75,
+ 0x01,0x04,0xb8,0xab,0xd0,0x6d,0x20,0x8d,
+ 0x01,0x04,0xb9,0x19,0x30,0x27,0x20,0x8d,
+ 0x01,0x04,0xb9,0x19,0x30,0xb8,0x20,0x8d,
+ 0x01,0x04,0xb9,0x40,0x74,0x0f,0x20,0x8d,
+ 0x01,0x04,0xb9,0x50,0xdb,0x84,0x20,0x8d,
+ 0x01,0x04,0xb9,0x55,0x03,0x8c,0x20,0x8d,
+ 0x01,0x04,0xb9,0x5f,0xdb,0x35,0x20,0x8d,
+ 0x01,0x04,0xb9,0x6c,0xf4,0x29,0x20,0x8d,
+ 0x01,0x04,0xb9,0x86,0xe9,0x79,0x20,0x8d,
+ 0x01,0x04,0xb9,0x91,0x80,0x15,0x20,0x8d,
+ 0x01,0x04,0xb9,0x94,0x03,0xe3,0x20,0x8d,
+ 0x01,0x04,0xb9,0x99,0xc4,0xf0,0x20,0x8d,
+ 0x01,0x04,0xb9,0x9e,0x72,0xb8,0x20,0x8d,
+ 0x01,0x04,0xb9,0xa5,0xa8,0xc4,0x20,0x8d,
+ 0x01,0x04,0xb9,0xb5,0xe6,0x4a,0x20,0x8d,
+ 0x01,0x04,0xb9,0xb9,0x1a,0x8d,0x1f,0xaf,
+ 0x01,0x04,0xb9,0xba,0xd0,0xa2,0x20,0x8d,
+ 0x01,0x04,0xb9,0xbd,0x84,0xb2,0xe1,0xb4,
+ 0x01,0x04,0xb9,0xd3,0x3b,0x32,0x20,0x8d,
+ 0x01,0x04,0xb9,0xe9,0x94,0x92,0x20,0x8d,
+ 0x01,0x04,0xb9,0xee,0x81,0x71,0x20,0x8d,
+ 0x01,0x04,0xb9,0xf9,0xc7,0x6a,0x20,0x8d,
+ 0x01,0x04,0xb9,0xfb,0xa1,0x36,0x20,0x8d,
+ 0x01,0x04,0xbb,0xbd,0x99,0x88,0x20,0x8d,
+ 0x01,0x04,0xbc,0x25,0x18,0xbe,0x20,0x8d,
+ 0x01,0x04,0xbc,0x2a,0x28,0xea,0x47,0x9d,
+ 0x01,0x04,0xbc,0x3d,0x2e,0x24,0x20,0x8d,
+ 0x01,0x04,0xbc,0x44,0x2d,0x8f,0x20,0x8d,
+ 0x01,0x04,0xbc,0x7f,0xe5,0x69,0x20,0x8d,
+ 0x01,0x04,0xbc,0x86,0x06,0x54,0x20,0x8d,
+ 0x01,0x04,0xbc,0x86,0x08,0x24,0x20,0x8d,
+ 0x01,0x04,0xbc,0xd6,0x81,0x41,0x4e,0x2c,
+ 0x01,0x04,0xbc,0xe6,0xa8,0x72,0x20,0x8d,
+ 0x01,0x04,0xbd,0x22,0x0e,0x5d,0x20,0x8d,
+ 0x01,0x04,0xbd,0xcf,0x2e,0x20,0x20,0x8d,
+ 0x01,0x04,0xbe,0xd3,0xcc,0x44,0x20,0x8d,
+ 0x01,0x04,0xbf,0xd1,0x15,0xbc,0x20,0x8d,
+ 0x01,0x04,0xc0,0x03,0x0b,0x14,0x20,0x8d,
+ 0x01,0x04,0xc0,0x03,0xb9,0xd2,0x20,0x8d,
+ 0x01,0x04,0xc0,0x41,0xaa,0x0f,0x20,0x8d,
+ 0x01,0x04,0xc0,0x41,0xaa,0x32,0x20,0x8d,
+ 0x01,0x04,0xc0,0x92,0x89,0x12,0x20,0x8d,
+ 0x01,0x04,0xc0,0x9d,0xca,0xb2,0x20,0x8d,
+ 0x01,0x04,0xc0,0xe3,0x50,0x53,0x20,0x8d,
+ 0x01,0x04,0xc1,0x0a,0xcb,0x17,0x20,0x8e,
+ 0x01,0x04,0xc1,0x19,0x06,0xce,0x20,0x8d,
+ 0x01,0x04,0xc1,0x2a,0x6e,0x1e,0x20,0x8d,
+ 0x01,0x04,0xc1,0x3a,0xc4,0xd4,0x20,0x8d,
+ 0x01,0x04,0xc1,0x6a,0x1c,0x08,0x20,0x8d,
+ 0x01,0x04,0xc1,0xbd,0xbe,0x7b,0x20,0x8d,
+ 0x01,0x04,0xc1,0xc2,0xa3,0x23,0x20,0x8d,
+ 0x01,0x04,0xc1,0xc2,0xa3,0x35,0x20,0x8d,
+ 0x01,0x04,0xc2,0x0e,0xf6,0xcd,0x20,0x8d,
+ 0x01,0x04,0xc2,0x24,0x5b,0xfd,0x20,0x8d,
+ 0x01,0x04,0xc2,0x7e,0x71,0x87,0x20,0x8d,
+ 0x01,0x04,0xc2,0x87,0x87,0x45,0x20,0x8d,
+ 0x01,0x04,0xc3,0x38,0x3f,0x04,0x20,0x8d,
+ 0x01,0x04,0xc3,0x38,0x3f,0x05,0x20,0x8d,
+ 0x01,0x04,0xc3,0x43,0x8b,0x36,0x20,0x8d,
+ 0x01,0x04,0xc3,0x87,0xc2,0x08,0x20,0x8d,
+ 0x01,0x04,0xc3,0xca,0xa9,0x95,0x20,0x8d,
+ 0x01,0x04,0xc3,0xce,0x69,0x2a,0x20,0x8d,
+ 0x01,0x04,0xc3,0xd1,0xf9,0xa4,0x20,0x8d,
+ 0x01,0x04,0xc6,0x01,0xe7,0x06,0x20,0x8d,
+ 0x01,0x04,0xc6,0xc8,0x2b,0xd7,0x20,0x8d,
+ 0x01,0x04,0xc7,0xb6,0xb8,0xcc,0x20,0x8d,
+ 0x01,0x04,0xc7,0xf7,0x07,0xd0,0x20,0x8d,
+ 0x01,0x04,0xc7,0xf7,0xf9,0xbc,0x20,0x8d,
+ 0x01,0x04,0xc8,0x07,0xfc,0x76,0x20,0x8d,
+ 0x01,0x04,0xc8,0x14,0xba,0xfe,0x20,0x8d,
+ 0x01,0x04,0xc8,0x53,0xa6,0x88,0x20,0x8d,
+ 0x01,0x04,0xca,0x37,0x57,0x2d,0x20,0x8d,
+ 0x01,0x04,0xca,0x4f,0xa7,0x41,0x20,0x8d,
+ 0x01,0x04,0xca,0x6c,0xd3,0x87,0x20,0x8d,
+ 0x01,0x04,0xca,0xa9,0x66,0x49,0x20,0x8d,
+ 0x01,0x04,0xcb,0x82,0x30,0x75,0x22,0xb5,
+ 0x01,0x04,0xcb,0x84,0x5f,0x0a,0x20,0x8d,
+ 0x01,0x04,0xcb,0x97,0xa6,0x7b,0x20,0x8d,
+ 0x01,0x04,0xcc,0x5d,0x71,0x6c,0x20,0x8d,
+ 0x01,0x04,0xcc,0x6f,0xf1,0xc3,0x20,0x8d,
+ 0x01,0x04,0xce,0x7c,0x95,0x42,0x20,0x8d,
+ 0x01,0x04,0xcf,0x73,0x66,0x62,0x20,0x8d,
+ 0x01,0x04,0xcf,0xe5,0x2e,0x96,0x20,0x8d,
+ 0x01,0x04,0xd0,0x4c,0xfc,0xc6,0x20,0x8d,
+ 0x01,0x04,0xd0,0x64,0x0d,0x38,0x20,0x8d,
+ 0x01,0x04,0xd0,0x64,0xb2,0xaf,0x20,0x8d,
+ 0x01,0x04,0xd0,0x6e,0x63,0x69,0x20,0x8d,
+ 0x01,0x04,0xd1,0x06,0xd2,0xb3,0x20,0x8d,
+ 0x01,0x04,0xd1,0x85,0xdc,0x4a,0x20,0x8d,
+ 0x01,0x04,0xd1,0x8d,0x39,0x39,0x20,0x8d,
+ 0x01,0x04,0xd3,0x1b,0x93,0x43,0x20,0x8d,
+ 0x01,0x04,0xd4,0x22,0xe1,0x76,0x20,0x8d,
+ 0x01,0x04,0xd4,0x59,0xad,0xd8,0x20,0x8d,
+ 0x01,0x04,0xd4,0x63,0xe2,0x24,0x23,0x3c,
+ 0x01,0x04,0xd4,0xed,0x60,0x62,0x20,0x8d,
+ 0x01,0x04,0xd5,0x59,0x83,0x35,0x20,0x8d,
+ 0x01,0x04,0xd8,0x26,0x81,0xa4,0x20,0x8d,
+ 0x01,0x04,0xd8,0x86,0xa5,0x37,0x20,0x8d,
+ 0x01,0x04,0xd8,0x92,0xfb,0x08,0x20,0x8d,
+ 0x01,0x04,0xd8,0xbd,0xbe,0x5f,0x20,0x8d,
+ 0x01,0x04,0xd8,0xe2,0x80,0xbd,0x20,0x8d,
+ 0x01,0x04,0xd8,0xec,0xa4,0x52,0x20,0x8d,
+ 0x01,0x04,0xd9,0x13,0xd8,0xd2,0x20,0x8d,
+ 0x01,0x04,0xd9,0x1a,0x20,0x0a,0x20,0x8d,
+ 0x01,0x04,0xd9,0x40,0x2f,0x8a,0x20,0x8d,
+ 0x01,0x04,0xd9,0x40,0x85,0xdc,0x20,0x8d,
+ 0x01,0x04,0xd9,0x5c,0x37,0xf6,0x20,0x8d,
+ 0x01,0x04,0xda,0x1f,0x71,0xf5,0x20,0x8d,
+ 0x01,0x04,0xda,0xff,0xf2,0x72,0x20,0x8d,
+ 0x01,0x04,0xdc,0x85,0x27,0x3d,0x20,0x8d,
+ 0x01,0x04,0xdf,0x10,0x1e,0xaf,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x19,0xf0,0x60,0x01,0x30,0x6f,0x0e,0xc4,0x7a,0xff,0xfe,0x8f,0x66,0xec,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x1b,0xc0,0x00,0xcc,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xa0,0x01,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x1c,0x02,0x2f,0x18,0x0d,0x00,0xb6,0x2e,0x99,0xff,0xfe,0x49,0xd4,0x92,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x41,0x00,0x00,0x00,0x00,0x64,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x93,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x41,0x00,0x00,0x00,0x00,0x64,0xdc,0xaf,0xaf,0xff,0xfe,0x00,0x67,0x07,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x04,0x70,0x00,0x0a,0x0c,0x13,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x48,0x01,0x78,0x19,0x00,0x74,0xb7,0x45,0xb9,0xd5,0xff,0x10,0xa6,0x1a,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x4b,0xa0,0xff,0xfa,0x00,0x5d,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x93,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x10,0x19,0x08,0xff,0x01,0xf8,0x16,0x3e,0xff,0xfe,0x33,0x2e,0x32,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x38,0xa0,0x00,0x41,0x40,0x00,0x00,0x00,0x00,0xff,0xff,0x01,0x91,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x48,0x28,0x00,0x01,0x31,0x4b,0x1f,0xf6,0xfc,0x20,0xf7,0xf9,0x9f,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x78,0x07,0xdc,0x00,0x08,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x78,0x0c,0xc8,0x00,0x00,0x00,0x00,0x00,0x01,0x00,0x10,0x00,0x88,0x4e,0x28,
+ 0x02,0x10,0x20,0x01,0x06,0x7c,0x12,0x20,0x08,0x0c,0x00,0x00,0x00,0x00,0x93,0xe5,0x0d,0xd2,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x7c,0x12,0x20,0x08,0x0c,0xe5,0xdc,0xad,0x0c,0x92,0x89,0xc2,0x8f,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x7c,0x16,0xdc,0x12,0x01,0x50,0x54,0x00,0xff,0xfe,0x17,0x4d,0xac,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x7c,0x23,0x54,0x00,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x22,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x7c,0x26,0xb4,0x00,0x12,0x7a,0xe3,0xb5,0xff,0xfe,0x04,0x6f,0x9c,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x06,0x7c,0x02,0xf0,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x20,0x00,0xfa,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x07,0x18,0x08,0x01,0x03,0x11,0x50,0x54,0x00,0xff,0xfe,0x19,0xc4,0x83,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x08,0xd8,0x08,0x7c,0x7c,0x00,0x00,0x00,0x00,0x00,0x00,0x99,0x03,0xc1,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x08,0xf1,0x14,0x04,0x37,0x00,0x8e,0x49,0x71,0x5a,0x2e,0x09,0xb6,0x34,0x24,0xe4,
+ 0x02,0x10,0x20,0x01,0x0b,0x07,0x5d,0x29,0x99,0xa5,0x19,0x4b,0x38,0x74,0xd6,0x5e,0xa9,0x0d,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x0b,0xa8,0x01,0xf1,0xf0,0xfe,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x0b,0xc8,0x12,0x00,0x00,0x00,0xda,0xc4,0x97,0xff,0xfe,0x2a,0x35,0x54,0x4e,0x28,
+ 0x02,0x10,0x20,0x01,0x0d,0xa8,0x10,0x0d,0x00,0x22,0x10,0xfa,0xd8,0x5f,0x10,0xf2,0x21,0xfd,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x0d,0xa8,0x80,0x01,0x7a,0x39,0xf0,0x35,0x00,0x7d,0xb9,0x9f,0xeb,0x79,0x20,0x8d,
+ 0x02,0x10,0x20,0x01,0x0e,0x42,0x01,0x03,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x30,0x20,0x8d,
+ 0x02,0x10,0x24,0x00,0x24,0x12,0x01,0x03,0xc9,0x00,0x08,0x25,0x8f,0x20,0xea,0xff,0x65,0xc2,0x20,0x8d,
+ 0x02,0x10,0x24,0x00,0x40,0x52,0x0e,0x20,0x4f,0x00,0x69,0xfe,0xbb,0x33,0x7b,0x1c,0xa1,0xca,0x20,0x8d,
+ 0x02,0x10,0x24,0x01,0x18,0x00,0x78,0x00,0x01,0x05,0xbe,0x76,0x4e,0xff,0xfe,0x1c,0x0b,0x35,0x20,0x8d,
+ 0x02,0x10,0x24,0x01,0x39,0x00,0x00,0x02,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x24,0x01,0xb1,0x40,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x44,0x01,0x50,0x20,0x8d,
+ 0x02,0x10,0x24,0x01,0xd0,0x02,0x44,0x02,0x00,0x00,0x8f,0x28,0x59,0x1a,0x6e,0xa0,0xc6,0x83,0x20,0x8d,
+ 0x02,0x10,0x24,0x03,0x62,0x00,0x88,0x21,0x3d,0x68,0x19,0x5b,0x87,0xe9,0x68,0x19,0xd5,0xc8,0x20,0x8d,
+ 0x02,0x10,0x24,0x05,0x65,0x80,0x21,0x40,0x3a,0x00,0xc2,0x8c,0x09,0x83,0x36,0x4b,0x5d,0x70,0x20,0x8d,
+ 0x02,0x10,0x24,0x05,0x98,0x00,0xb9,0x11,0xa1,0x8a,0x58,0xeb,0xcd,0x3c,0x9d,0x82,0xea,0x4a,0x20,0x8d,
+ 0x02,0x10,0x24,0x05,0xaa,0x00,0x00,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x40,0x20,0x8d,
+ 0x02,0x10,0x24,0x09,0x00,0x10,0xca,0x20,0x1d,0xf0,0x02,0x24,0xe8,0xff,0xfe,0x1f,0x60,0xd9,0x20,0x8d,
+ 0x02,0x10,0x24,0x09,0x8a,0x1e,0xa9,0xaf,0x36,0x60,0x1c,0x5a,0x5b,0x6b,0x8a,0x2d,0x98,0x48,0x20,0x8d,
+ 0x02,0x10,0x24,0x09,0x8a,0x1e,0xa9,0xaf,0x36,0x60,0x04,0x04,0x39,0xba,0x88,0xf2,0xe8,0xdf,0x20,0x8d,
+ 0x02,0x10,0x24,0x0b,0x00,0x10,0x91,0x41,0x04,0x00,0x49,0xb4,0x3a,0x2e,0x01,0xe5,0x08,0x4c,0x20,0x8d,
+ 0x02,0x10,0x24,0x0d,0x00,0x1a,0x07,0x59,0x60,0x00,0xa7,0xb1,0x45,0x1a,0x88,0x74,0xe1,0xac,0x20,0x8d,
+ 0x02,0x10,0x24,0x0d,0x00,0x1a,0x07,0x59,0x60,0x00,0xdd,0xab,0x31,0x41,0x4d,0xa0,0x88,0x78,0x20,0x8d,
+ 0x02,0x10,0x26,0x00,0x88,0x05,0x24,0x00,0x01,0x4e,0x12,0xdd,0xb1,0xff,0xfe,0xf2,0x30,0x13,0x20,0x8d,
+ 0x02,0x10,0x26,0x01,0x06,0x02,0x8d,0x80,0x0b,0x63,0xdc,0x3e,0x24,0xff,0xfe,0x92,0x05,0xeb,0x20,0x8d,
+ 0x02,0x10,0x26,0x02,0xff,0xb6,0x00,0x04,0x27,0x98,0xf8,0x16,0x3e,0xff,0xfe,0x2f,0x54,0x41,0x20,0x8d,
+ 0x02,0x10,0x26,0x02,0xff,0xb6,0x00,0x04,0x73,0x9e,0xf8,0x16,0x3e,0xff,0xfe,0x00,0xc2,0xb3,0x20,0x8d,
+ 0x02,0x10,0x26,0x02,0xff,0xb8,0x00,0x00,0x00,0x00,0x02,0x08,0x00,0x72,0x00,0x57,0x02,0x00,0x20,0x8d,
+ 0x02,0x10,0x26,0x04,0x13,0x80,0x41,0x11,0x93,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x26,0x04,0x43,0x00,0x00,0x0a,0x00,0x2e,0x02,0x1b,0x21,0xff,0xfe,0x11,0x03,0x92,0x20,0x8d,
+ 0x02,0x10,0x26,0x04,0x45,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x2e,0x06,0x1f,0xb0,
+ 0x02,0x10,0x26,0x04,0x55,0x00,0x70,0x6a,0x40,0x00,0xfc,0x79,0xb9,0xbb,0x01,0xd7,0xc3,0x25,0x20,0x8d,
+ 0x02,0x10,0x26,0x04,0x55,0x00,0xc1,0x34,0x40,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03,0xfc,0x80,0x1d,
+ 0x02,0x10,0x26,0x04,0x68,0x00,0x5e,0x11,0x01,0x62,0x5c,0x8f,0xd2,0xff,0xfe,0x26,0x14,0x6f,0x20,0x8d,
+ 0x02,0x10,0x26,0x05,0x4d,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x50,0x20,0x8d,
+ 0x02,0x10,0x26,0x05,0x64,0x00,0x00,0x20,0x13,0xbf,0xdf,0x1d,0x18,0x1c,0x83,0xbb,0x22,0xe8,0x20,0x8d,
+ 0x02,0x10,0x26,0x05,0xae,0x00,0x02,0x03,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x03,0x20,0x8d,
+ 0x02,0x10,0x26,0x05,0xc0,0x00,0x2a,0x0a,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x02,0x20,0x8d,
+ 0x02,0x10,0x26,0x07,0xf2,0xc0,0xf0,0x0e,0x03,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x54,0x20,0x8d,
+ 0x02,0x10,0x26,0x07,0xf2,0xf8,0xad,0x40,0x0b,0xc1,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x26,0x07,0xf4,0x70,0x00,0x08,0x10,0x48,0xae,0x1f,0x6b,0xff,0xfe,0x70,0x72,0x40,0x20,0x8d,
+ 0x02,0x10,0x26,0x07,0xff,0x28,0x80,0x0f,0x00,0x97,0x02,0x25,0x90,0xff,0xfe,0x75,0x11,0x10,0x20,0x8d,
+ 0x02,0x10,0x26,0x20,0x01,0x1c,0x50,0x01,0x11,0x18,0xd2,0x67,0xe5,0xff,0xfe,0xe9,0xe6,0x73,0x20,0x8d,
+ 0x02,0x10,0x26,0x20,0x00,0x6e,0xa0,0x00,0x20,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x06,0x20,0x8d,
+ 0x02,0x10,0x28,0x04,0x01,0x4d,0x4c,0x93,0x98,0x09,0x97,0x69,0xda,0x80,0x18,0x32,0x34,0x80,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x13,0x28,0xe1,0x01,0x0c,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x63,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x13,0x98,0x00,0x04,0x2a,0x03,0x02,0x15,0x5d,0xff,0xfe,0xd6,0x10,0x33,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x13,0xa0,0x30,0x15,0x00,0x01,0x00,0x85,0x00,0x14,0x00,0x79,0x00,0x26,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x16,0x30,0x00,0x14,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x01,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x17,0x68,0x20,0x01,0x00,0x27,0x00,0x00,0x00,0x00,0x00,0x00,0xef,0x6a,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x18,0x28,0xa0,0x04,0x00,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x06,0x66,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x18,0x38,0x00,0x36,0x00,0x17,0x00,0x00,0x00,0x00,0x00,0x00,0x38,0xcb,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x18,0x38,0x00,0x36,0x00,0x7d,0x00,0x00,0x00,0x00,0x00,0x00,0xd3,0xc6,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x1c,0x10,0x00,0x02,0x07,0x09,0x58,0xf7,0xe0,0xff,0xfe,0x24,0xa0,0xba,0x56,0xcc,
+ 0x02,0x10,0x2a,0x00,0x1c,0x10,0x00,0x02,0x07,0x09,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x17,0x56,0xcc,
+ 0x02,0x10,0x2a,0x00,0x1f,0x40,0x50,0x01,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x31,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x60,0x20,0x13,0x95,0x14,0x00,0xba,0xf7,0x2d,0x43,0x60,0xb3,0x19,0x8b,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x7c,0x80,0x00,0x00,0x01,0x0b,0x00,0x00,0x00,0x00,0x00,0x00,0x3f,0xaf,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x8a,0x60,0xe0,0x12,0x0a,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x21,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0xab,0x00,0x06,0x03,0x00,0x84,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0xbb,0xe0,0x00,0xcc,0x00,0x00,0x62,0xa4,0x4c,0xff,0xfe,0x23,0x75,0x10,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x0c,0xa8,0x0a,0x1f,0x30,0x25,0xf9,0x49,0xe4,0x42,0xc9,0x40,0x13,0xe8,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0xd2,0xa0,0x00,0x0a,0x3d,0x00,0x1c,0xdf,0x38,0xbb,0xa7,0xd6,0xc2,0x51,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0xd8,0x80,0x00,0x11,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x0e,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0x0e,0xc0,0x72,0x07,0x91,0x00,0x5f,0x8f,0x25,0xdd,0x25,0x74,0x39,0x82,0x20,0x8d,
+ 0x02,0x10,0x2a,0x00,0xf8,0x20,0x04,0x33,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x36,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x01,0x38,0xa0,0x17,0xb0,0x18,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x42,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x04,0x30,0x00,0x17,0x00,0x01,0x00,0x00,0x00,0x00,0xff,0xff,0x11,0x53,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x04,0x90,0x00,0x16,0x03,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x4b,0x00,0x80,0x7c,0x1b,0x00,0xcd,0xa1,0x0c,0x6a,0x2b,0xad,0x24,0x18,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x4b,0x00,0x80,0xe7,0x54,0x05,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x04,0xf8,0x01,0x92,0x42,0x12,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0xf1,
+ 0x02,0x10,0x2a,0x01,0x07,0xa0,0x00,0x02,0x13,0x7c,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x03,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x07,0xa7,0x00,0x02,0x14,0x67,0x0e,0xc4,0x7a,0xff,0xfe,0xe2,0x56,0x90,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x07,0xc8,0xd0,0x02,0x01,0x0f,0x50,0x54,0x00,0xff,0xfe,0x5c,0xda,0xc7,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x07,0xc8,0xd0,0x02,0x03,0x18,0x50,0x54,0x00,0xff,0xfe,0xbe,0xcb,0xb1,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x87,0x40,0x00,0x01,0xff,0xc5,0x00,0x00,0x00,0x00,0x00,0x00,0x8c,0x6a,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0xcb,0x00,0x0f,0x98,0xca,0x00,0x50,0x54,0x00,0xff,0xfe,0xd4,0x76,0x3d,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0xcb,0x14,0x0c,0xf6,0xbc,0x00,0x21,0xe5,0xf1,0x2e,0x32,0xc8,0x01,0x45,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x00,0xd0,0x00,0x00,0x00,0x1c,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x45,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x00,0xd0,0xbe,0xf2,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x12,0x20,0x8d,
+ 0x02,0x10,0x2a,0x01,0x0e,0x35,0x2e,0x40,0x68,0x30,0x02,0x11,0x32,0xff,0xfe,0xa6,0xde,0x3d,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x12,0x05,0xc6,0xaa,0x60,0xc0,0x70,0xd8,0xaa,0xee,0xa8,0x2d,0x99,0x3c,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x01,0x69,0x05,0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x06,0x14,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x01,0x80,0x00,0x01,0x00,0x01,0x00,0x00,0x00,0x00,0x5b,0x8f,0x53,0x8c,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x03,0x48,0x00,0x62,0x5e,0xf7,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x03,0x90,0x90,0x00,0x00,0x00,0x02,0x18,0x7d,0xff,0xfe,0x10,0xbe,0x33,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x7a,0xa0,0x16,0x19,0x00,0x00,0x00,0x00,0x00,0x00,0x0a,0xdc,0x8d,0xe0,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x7b,0x40,0xb0,0xdf,0x89,0x25,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x7b,0x40,0xb9,0x05,0x37,0xdb,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x81,0x0d,0x8c,0xbf,0xf3,0xa8,0x96,0xc6,0x91,0xff,0xfe,0x17,0xae,0x1d,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x83,0x89,0x01,0xc0,0x96,0x80,0x02,0x01,0x2e,0xff,0xfe,0x82,0xb3,0xcc,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0xa4,0x54,0xa5,0x16,0x00,0x01,0x05,0x17,0x09,0x28,0x7e,0x0d,0x95,0x7c,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x0a,0xf8,0xfa,0xb0,0x08,0x04,0x01,0x51,0x02,0x36,0x00,0x34,0x01,0x61,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x0a,0xf8,0xfa,0xb0,0x08,0x08,0x00,0x85,0x02,0x34,0x01,0x45,0x01,0x32,0x20,0x8d,
+ 0x02,0x10,0x2a,0x02,0x0e,0x00,0xff,0xf0,0x01,0xe2,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x0a,0x20,0x8d,
+ 0x02,0x10,0x2a,0x03,0x22,0x60,0x30,0x06,0x00,0x0d,0xd3,0x07,0x5d,0x1d,0x32,0xca,0x1f,0xe8,0x20,0x8d,
+ 0x02,0x10,0x2a,0x03,0x60,0x00,0x08,0x70,0x00,0x00,0x00,0x46,0x00,0x23,0x00,0x87,0x02,0x18,0x20,0x8d,
+ 0x02,0x10,0x2a,0x03,0x9d,0xa0,0x00,0xf6,0x00,0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x2a,0x03,0xc9,0x80,0x00,0xdb,0x00,0x47,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x20,0x8d,
+ 0x02,0x10,0x2a,0x03,0xe2,0xc0,0x01,0xce,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x2a,0x04,0x35,0x44,0x10,0x00,0x15,0x10,0x70,0x6c,0xab,0xff,0xfe,0x6c,0x50,0x1c,0x20,0x8d,
+ 0x02,0x10,0x2a,0x04,0x52,0xc0,0x01,0x01,0x03,0x83,0x00,0x00,0x00,0x00,0x00,0x00,0x2a,0x87,0x20,0x8d,
+ 0x02,0x10,0x2a,0x04,0x52,0xc0,0x01,0x01,0x03,0xfb,0x00,0x00,0x00,0x00,0x00,0x00,0x4c,0x27,0x20,0x8d,
+ 0x02,0x10,0x2a,0x04,0xee,0x41,0x00,0x83,0x50,0xdf,0xd9,0x08,0xf7,0x1d,0x2a,0x86,0xb3,0x37,0x20,0x8d,
+ 0x02,0x10,0x2a,0x05,0x6d,0x40,0xb9,0x4e,0xd1,0x00,0x02,0x25,0x90,0xff,0xfe,0x0d,0xcf,0xc2,0x20,0x8d,
+ 0x02,0x10,0x2a,0x05,0xe5,0xc0,0x00,0x00,0x01,0x00,0x02,0x50,0x56,0xff,0xfe,0xb9,0xd6,0xcb,0x20,0x8d,
+ 0x02,0x10,0x2a,0x05,0xfc,0x87,0x00,0x01,0x00,0x06,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x02,0x20,0x8d,
+ 0x02,0x10,0x2a,0x05,0xfc,0x87,0x00,0x04,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x08,0x20,0x8d,
+ 0x02,0x10,0x2a,0x07,0x57,0x41,0x00,0x00,0x11,0x5d,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x2a,0x07,0xa8,0x80,0x46,0x01,0x10,0x62,0xb4,0xb4,0xbd,0x2a,0x39,0xd4,0x7a,0xcf,0xc8,0xc9,
+ 0x02,0x10,0x2a,0x07,0xab,0xc4,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x09,0x46,0x20,0x8d,
+ 0x02,0x10,0x2a,0x07,0xb4,0x00,0x00,0x01,0x03,0x4c,0x00,0x00,0x00,0x00,0x00,0x02,0x10,0x02,0x20,0x8d,
+ 0x02,0x10,0x2a,0x0a,0x8c,0x41,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0xb4,0x20,0x8d,
+ 0x02,0x10,0x2a,0x0a,0xc8,0x01,0x00,0x01,0x00,0x07,0x00,0x00,0x00,0x00,0x00,0x00,0x01,0x83,0x20,0x8d,
+ 0x02,0x10,0x2a,0x0b,0xae,0x40,0x00,0x03,0x4a,0x0a,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x15,0x20,0x8d,
+ 0x02,0x10,0x2a,0x0f,0xdf,0x00,0x00,0x00,0x02,0x54,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x46,0x20,0x8d,
+ 0x02,0x10,0x2c,0x0f,0xf5,0x98,0x00,0x05,0x00,0x01,0x10,0x01,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x02,0x10,0x2c,0x0f,0xfc,0xe8,0x00,0x00,0x04,0x00,0x0b,0x7c,0x00,0x00,0x00,0x00,0x00,0x01,0x20,0x8d,
+ 0x04,0x20,0xd1,0xbb,0x02,0x8d,0x4d,0xd5,0x6a,0x20,0xc0,0xf9,0x16,0x2b,0x84,0x22,0x66,0xe0,0x89,0x45,0x60,0x37,0x52,0xe2,0x0b,0xa5,0xb4,0xf8,0x26,0xb3,0x8f,0x5a,0x30,0xed,0x20,0x8d,
+ 0x04,0x20,0xd2,0x59,0x3b,0xd7,0x14,0x7e,0xd0,0x98,0xfe,0x9e,0xa5,0x69,0xf4,0x26,0x6d,0x72,0x6f,0xc3,0x76,0xce,0x1d,0x40,0x41,0xa2,0xa1,0xaf,0xf9,0x6e,0x57,0x2d,0x9d,0xc3,0x20,0x8d,
+ 0x04,0x20,0xdf,0xd9,0xed,0x59,0xbf,0x1e,0x77,0x48,0x3c,0x13,0x3b,0xc5,0xc8,0x15,0x86,0x88,0x68,0xf0,0x08,0xe9,0xee,0x9b,0x3d,0xa4,0x33,0x0a,0x68,0x67,0x86,0x9d,0xe2,0x83,0x20,0x8d,
+ 0x04,0x20,0xe9,0xbf,0xa7,0xbd,0x9b,0x54,0x54,0xe8,0xc8,0xae,0x78,0x99,0xa0,0xa3,0xf6,0x5d,0x78,0xe3,0x9e,0x5c,0xa7,0x18,0xb9,0x13,0x0c,0x04,0x9b,0xf3,0x7f,0x27,0x18,0xb0,0x20,0x8d,
+ 0x04,0x20,0xf8,0x8d,0x64,0xd2,0xc8,0xe9,0x0f,0x51,0x03,0x1c,0x98,0x33,0x8f,0xe0,0x1e,0xe7,0xb6,0x16,0x8d,0x2a,0xf5,0xf3,0x19,0xce,0xdd,0x9e,0xee,0x17,0xc3,0x8f,0xd6,0xa1,0x20,0x8d,
+ 0x04,0x20,0xfb,0xf1,0x17,0xd6,0x03,0x3b,0x01,0x8b,0x98,0xcf,0x16,0x20,0xde,0xaf,0x6c,0xed,0x60,0xab,0x6e,0x14,0x0b,0x58,0x6b,0x2d,0xf8,0x06,0x98,0x37,0x7a,0xff,0x7a,0x0f,0x20,0x8d,
+ 0x04,0x20,0x0f,0xb9,0x71,0x05,0x64,0x83,0x2c,0x68,0x6a,0x9c,0xf0,0x4f,0xc3,0x90,0xcd,0x5c,0x73,0x9a,0xdd,0xb3,0xc6,0x42,0xca,0x09,0xbb,0xcc,0xfe,0x29,0x49,0x9f,0xc7,0x28,0x20,0x8d,
+ 0x04,0x20,0x22,0x6e,0x42,0xe4,0xbd,0x2b,0xe5,0x3e,0x30,0xda,0x8a,0x03,0xf3,0x45,0x52,0xac,0x84,0xbf,0xbf,0xc5,0xaa,0x5f,0xe0,0x1b,0x26,0x28,0xb5,0x83,0x2e,0xed,0x4c,0xee,0x20,0x8d,
+ 0x04,0x20,0x2a,0x47,0x8b,0xa0,0x4f,0x67,0x1d,0xcd,0x5d,0x84,0x1a,0xec,0xbd,0xd2,0xaa,0xe9,0x99,0x01,0x96,0x5d,0x4e,0xff,0x64,0x47,0xba,0xde,0xbf,0x56,0x89,0x39,0xac,0xde,0x20,0x8d,
+ 0x04,0x20,0x2b,0xf3,0xe8,0xf5,0xef,0x90,0x14,0xab,0x61,0xe9,0x11,0x97,0x9f,0x18,0x4d,0xb4,0xff,0x89,0x94,0xf7,0x92,0x94,0x53,0xe6,0x9e,0xd4,0xdb,0x85,0x89,0x4d,0x3e,0xc9,0x20,0x8d,
+ 0x04,0x20,0x2e,0x4e,0xde,0x51,0xd7,0x28,0x4b,0x29,0x7c,0xff,0x1f,0x8a,0x50,0xb7,0x5e,0xf0,0x81,0xcd,0xe8,0x8a,0x08,0x73,0x58,0x4e,0x43,0x1f,0x7b,0x85,0x9a,0xed,0xe2,0x68,0x20,0x8d,
+ 0x04,0x20,0x35,0xdd,0xd0,0x36,0xa5,0x69,0x4a,0xd2,0xcc,0xb8,0xe9,0x62,0xa3,0x55,0xeb,0x86,0xe2,0xf3,0x03,0x48,0x26,0xe6,0x20,0xad,0xda,0xaa,0xff,0xde,0x16,0xad,0x39,0x9d,0x20,0x8d,
+ 0x04,0x20,0x41,0x47,0x4e,0xc2,0xa1,0x71,0x63,0x3e,0x11,0x54,0x46,0x91,0x80,0xed,0x41,0x16,0x32,0x29,0x19,0x60,0xc9,0xef,0xa3,0xb7,0x96,0x2c,0x94,0xa8,0xdf,0x55,0xd7,0x21,0x20,0x8d,
+ 0x04,0x20,0x44,0xf3,0xb7,0x5e,0x48,0x3c,0xbd,0xa6,0x52,0xaa,0x68,0xb5,0xbf,0xdc,0x01,0x5f,0x4b,0xeb,0x7a,0x25,0xcb,0x4a,0x70,0xbc,0x18,0x8c,0x97,0x5d,0x27,0x54,0x09,0x17,0x20,0x8d,
+ 0x04,0x20,0x5c,0x52,0x7f,0x17,0x16,0x4c,0x27,0x36,0x2d,0x05,0xa1,0x19,0x0d,0xbe,0x87,0xab,0x24,0x7b,0xe7,0x38,0x3b,0xa1,0x7f,0xd1,0xd4,0x28,0x16,0x8e,0xfc,0x98,0x7d,0x08,0x20,0x8d,
+ 0x04,0x20,0x67,0xc4,0x17,0xa5,0xcb,0x77,0xbd,0xaa,0x11,0x7f,0x8b,0xc0,0x81,0xf3,0xc0,0x96,0x9d,0x31,0x27,0x9c,0xad,0x6c,0x6d,0x98,0x42,0x70,0xdb,0x50,0x12,0x96,0x0b,0x36,0x20,0x8d,
+ 0x04,0x20,0x73,0xdb,0x82,0xe0,0x88,0x40,0x49,0xd8,0x3b,0xa0,0xdd,0x83,0x7c,0x84,0x3c,0xb8,0xd0,0x03,0x0b,0x7a,0x08,0x44,0x4e,0x79,0xd6,0x61,0x23,0x31,0xa9,0xb3,0x07,0x58,0x20,0x8d,
+ 0x04,0x20,0x75,0x93,0x21,0xdd,0x99,0x58,0x3c,0x3f,0xae,0x36,0x50,0x58,0x49,0xe2,0xd0,0xc3,0x3a,0x2c,0x4a,0xcf,0x41,0xc4,0x82,0x48,0xab,0xec,0x07,0x5d,0x56,0x2c,0xb4,0x8d,0x20,0x8d,
+ 0x04,0x20,0x87,0xd4,0x66,0x0f,0xed,0xf9,0xf5,0xf1,0xcb,0x85,0x37,0xec,0xe1,0x19,0xa8,0xa4,0x03,0xb7,0x13,0x59,0xbb,0xf8,0xd2,0x93,0x92,0x50,0xfa,0x30,0x7a,0xd8,0x43,0xd0,0x20,0x8d,
+ 0x04,0x20,0x8b,0xfe,0xad,0x19,0xdb,0x97,0x57,0x84,0xec,0xad,0x4f,0xb2,0xdf,0x69,0x53,0x04,0x57,0x19,0x16,0x7a,0x71,0xd7,0x2b,0xab,0x03,0xfd,0x76,0x4d,0xa0,0x70,0xc3,0xe7,0x20,0x8d,
+ 0x04,0x20,0x96,0x25,0xde,0x4a,0xbc,0xbd,0x76,0x76,0xee,0x43,0x45,0x76,0xe0,0x0d,0x99,0x83,0xcd,0x83,0x8f,0x94,0xe5,0xde,0x7a,0xf2,0xf0,0x57,0xb8,0x25,0x54,0x17,0xcb,0x3b,0x20,0x8d,
+ 0x04,0x20,0x98,0xc6,0x44,0x27,0x90,0x41,0xa6,0x98,0xf9,0x25,0x6c,0x59,0x0f,0x06,0x6d,0x44,0x59,0x0e,0xb2,0x46,0xb0,0xa4,0x37,0x88,0x69,0x8f,0xc1,0x32,0xcd,0x9f,0x15,0xd7,0x20,0x8d,
+ 0x04,0x20,0xaa,0x3a,0x16,0x86,0xea,0x59,0x09,0x04,0x78,0xe5,0x10,0x92,0xe1,0x1d,0xad,0xf7,0x56,0x2b,0xac,0xb0,0x97,0x29,0x63,0x30,0xf4,0x1b,0xcf,0xde,0xf3,0x28,0x0a,0x29,0x20,0x8d,
+ 0x04,0x20,0xbc,0x27,0xae,0x89,0xc1,0x67,0x73,0x0a,0x08,0x02,0xdf,0xb7,0xcc,0x94,0xc7,0x9f,0xf4,0x72,0x7a,0x9b,0x20,0x0c,0x5c,0x11,0x3d,0x22,0xd6,0x13,0x88,0x66,0x74,0xbf,0x20,0x8d,
+ 0x05,0x20,0x07,0x61,0x26,0xd7,0x6c,0x05,0xbf,0xf6,0x2d,0x8c,0xca,0xc4,0x65,0xd3,0xd3,0xb2,0x49,0xe9,0xcc,0x53,0x1e,0xca,0x77,0x84,0xb6,0x10,0x5e,0xc2,0x5a,0xfe,0x28,0xb3,0x00,0x00,
+ 0x05,0x20,0x0a,0x26,0x27,0x45,0xb1,0x1e,0xfc,0x27,0x03,0x32,0x0e,0x65,0x9e,0x3c,0x64,0x0e,0x33,0x50,0x3d,0x6c,0x90,0x17,0x0e,0x29,0xee,0x5a,0x58,0xdf,0x08,0xde,0xbf,0x73,0x00,0x00,
+ 0x05,0x20,0x17,0x0c,0x56,0xce,0x72,0xa5,0xa0,0xe6,0x23,0x06,0xa3,0xc7,0x08,0x43,0x18,0xee,0x3a,0x46,0x35,0x5d,0x17,0xf6,0x78,0x96,0xa0,0x9c,0x51,0xef,0xbe,0x23,0xfd,0x71,0x00,0x00,
+ 0x05,0x20,0x19,0xe7,0x0d,0x3f,0xfe,0x9e,0x0e,0x8e,0x73,0x40,0x40,0xc3,0xba,0x8f,0x41,0xaf,0xf1,0x7b,0xa6,0x83,0x1b,0xc3,0xa4,0xe0,0x6d,0x6c,0x57,0xa7,0x36,0x5d,0x09,0xce,0x00,0x00,
+ 0x05,0x20,0x3e,0xe3,0xe0,0xa9,0xbc,0xf4,0x2e,0x59,0xd9,0x20,0xee,0xdf,0x74,0x61,0x4d,0x99,0x0c,0x5c,0x15,0x30,0x9b,0x72,0x16,0x79,0x15,0xf4,0x7a,0xca,0x34,0xcc,0x81,0x99,0x00,0x00,
+ 0x05,0x20,0x3b,0x42,0x1c,0x25,0xf7,0xbf,0x79,0xed,0x6d,0x7d,0xef,0x65,0x30,0x7d,0xee,0x16,0x37,0x22,0x72,0x43,0x33,0x28,0x40,0xa3,0xaa,0xf4,0x48,0x49,0x67,0xb1,0x4b,0xfd,0x00,0x00,
+ 0x05,0x20,0x4e,0x77,0x2e,0x12,0x91,0x67,0x6b,0x94,0xc4,0x92,0x2f,0x19,0x67,0x7d,0xcd,0x47,0x02,0xad,0xf8,0x60,0x72,0xed,0x73,0xf1,0x10,0x99,0x2c,0x05,0x61,0x66,0x55,0xd9,0x00,0x00,
+ 0x05,0x20,0x53,0x94,0xa6,0x3e,0x14,0x82,0xd4,0xf9,0xd3,0xa7,0x53,0x33,0x05,0xce,0x72,0x64,0xed,0x74,0x09,0x63,0x8f,0x24,0xef,0xda,0x12,0xa1,0x55,0xe0,0xd8,0xbb,0xd3,0x58,0x00,0x00,
+ 0x05,0x20,0x91,0x06,0xd1,0x9e,0xbd,0xab,0xc4,0x61,0xb3,0x0a,0xc2,0x3b,0x29,0xf3,0x10,0x38,0xee,0xbd,0x9d,0xe3,0x99,0x97,0x30,0x70,0x6e,0xe6,0xfb,0x6a,0x3c,0x07,0x3d,0xfd,0x00,0x00,
+ 0x05,0x20,0xb5,0x83,0x6f,0xb6,0x11,0xd8,0x0e,0xa8,0x57,0xda,0x15,0x20,0x5b,0x1a,0x6d,0x21,0x15,0x5a,0xbd,0xb4,0x17,0x11,0xc2,0xfb,0x0e,0xfc,0xde,0xe8,0x26,0x56,0xa8,0xac,0x00,0x00,
+ 0x05,0x20,0xcc,0xaf,0x6c,0x3b,0xd0,0x13,0x76,0x23,0xc3,0x36,0xbb,0x64,0x4a,0x4a,0x06,0x93,0x69,0x6d,0xb0,0x10,0x6e,0x66,0xa4,0x61,0xf8,0x2d,0xe7,0x80,0x72,0x4d,0x53,0x94,0x00,0x00,
+ 0x06,0x10,0xfc,0x32,0x17,0xea,0xe4,0x15,0xc3,0xbf,0x98,0x08,0x14,0x9d,0xb5,0xa2,0xc9,0xaa,0x20,0x8d,
+ 0x06,0x10,0xfc,0xc7,0xbe,0x49,0xcc,0xd1,0xdc,0x91,0x31,0x25,0xf0,0xda,0x45,0x7d,0x08,0xce,0x20,0x8d,
};
-static SeedSpec6 pnSeed6_test[] = {
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x99,0xcb,0x26,0x31,0xba,0x48,0x51,0x31,0x39,0x0d}, 18333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x44,0xf4,0xf4,0xf0,0xbf,0xf7,0x7e,0x6d,0xc4,0xe8}, 18333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x6a,0x8b,0xd2,0x78,0x3f,0x7a,0xf8,0x92,0x8f,0x80}, 18333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xe6,0x4e,0xa4,0x47,0x4e,0x2a,0xfe,0xe8,0x95,0xcc}, 18333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x9f,0xae,0x9f,0x59,0x0b,0x3f,0x31,0x3a,0x8a,0x5f}, 18333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0x47,0xb1,0xe4,0x55,0xd1,0xb0,0x14,0x3f,0xb6,0xdb}, 18333},
- {{0xfd,0x87,0xd8,0x7e,0xeb,0x43,0xa0,0x60,0x9e,0x46,0x54,0xdb,0x61,0x3b,0xb2,0x6f}, 18333}
+static const uint8_t chainparams_seed_test[] = {
+ 0x04,0x20,0xdf,0x55,0xaa,0x83,0xd5,0xc5,0xb8,0xe7,0x75,0x78,0xd4,0x29,0x51,0x4b,0x26,0x1c,0x23,0xdf,0x28,0x4d,0x29,0x85,0x07,0xb5,0xe2,0x29,0x69,0x3e,0x25,0xbb,0x61,0xcf,0x47,0x9d,
+ 0x04,0x20,0x0a,0xdd,0xa2,0x48,0xb5,0x56,0xa3,0x1f,0xca,0x3c,0x4c,0x9e,0xca,0x6e,0xb3,0xd5,0x5e,0x68,0xf6,0x28,0x31,0x57,0x24,0xfb,0x9d,0x2b,0x55,0x4f,0xd7,0x90,0x62,0xd3,0x47,0x9d,
+ 0x04,0x20,0x2d,0x04,0xa1,0x4a,0xd4,0x7c,0x7b,0x16,0x2e,0xb7,0xd2,0xa1,0x08,0xc5,0xd2,0xbd,0x53,0x87,0x34,0xdc,0x38,0x26,0xca,0x56,0xf2,0xac,0xc5,0x62,0x70,0x72,0x3f,0x63,0x47,0x9d,
+ 0x04,0x20,0x30,0x57,0x85,0xe0,0x02,0x4a,0xd1,0x31,0xeb,0x16,0x1b,0x1d,0xa8,0x43,0x0b,0xb4,0xc6,0xac,0x7d,0x46,0x24,0x0b,0x55,0x9d,0x16,0xe6,0x46,0x03,0x72,0xfe,0xd4,0xef,0x47,0x9d,
+ 0x04,0x20,0x36,0x6c,0xf1,0xd2,0xbb,0xda,0xff,0x8c,0x93,0x61,0x10,0xf2,0x9d,0xa1,0xa4,0x0a,0x30,0x9b,0x0c,0x69,0x6d,0xaa,0xd4,0x9c,0xfd,0xb5,0x5b,0x5e,0x30,0x9f,0xf3,0x13,0x47,0x9d,
+ 0x04,0x20,0x3e,0xe2,0xf3,0xe5,0xc5,0xbe,0x61,0xdd,0x4c,0x3e,0xdb,0x0d,0xd2,0xf9,0x42,0xe3,0x31,0xb2,0xa8,0x51,0x31,0xf6,0xce,0xc2,0x38,0x20,0x27,0x39,0x73,0x68,0x5a,0x42,0x47,0x9d,
+ 0x04,0x20,0x51,0x79,0x05,0x9c,0x8a,0xdf,0x03,0xb5,0x1b,0x17,0xc3,0x86,0xb6,0x54,0xcc,0xe0,0x6e,0x58,0xa6,0x41,0x4c,0xcc,0x0c,0x60,0x08,0xa6,0x0f,0x1d,0x11,0xd8,0x29,0xa6,0x47,0x9d,
+ 0x04,0x20,0x60,0xbe,0xae,0x7d,0xa3,0x4d,0x6a,0x71,0x1a,0x5d,0xe5,0x98,0x9c,0xde,0xa0,0x99,0x39,0x19,0xd3,0x01,0x0a,0x5d,0x1c,0x21,0x43,0x94,0x92,0x71,0x5d,0x77,0xd7,0xdf,0x47,0x9d,
+ 0x04,0x20,0x64,0x4e,0x86,0xa1,0x02,0xa1,0x8a,0xef,0xb0,0xd1,0xb5,0x77,0x69,0xb9,0x6a,0xdc,0xdf,0x35,0x8a,0xda,0xa4,0x3e,0x83,0xfa,0x50,0xe6,0xca,0x0e,0x2b,0x99,0x0a,0x17,0x47,0x9d,
+ 0x04,0x20,0xa2,0x28,0x3c,0x5a,0x5b,0x82,0x32,0x66,0x11,0xe5,0x71,0xff,0x6b,0x25,0x92,0x75,0xdd,0x7a,0x4f,0x90,0x8b,0x1d,0x34,0xa4,0xf1,0x6e,0xb9,0xfb,0xb5,0x2e,0x7c,0x7f,0x47,0x9d,
+ 0x04,0x20,0xc8,0xb5,0x6a,0xba,0x02,0x26,0x45,0x12,0xfb,0x93,0x8a,0x51,0xe4,0xb0,0xf3,0x94,0xb7,0xc0,0x74,0x72,0xeb,0x67,0x91,0x9e,0x04,0x36,0x6a,0x4b,0xef,0x0d,0x88,0xfe,0x47,0x9d,
+ 0x04,0x20,0xc8,0xfa,0xcd,0x8c,0xc3,0x6f,0x3c,0xd0,0x27,0x7e,0x7d,0xeb,0x51,0x01,0x65,0xb6,0x9e,0x02,0x09,0x64,0xf4,0x87,0x78,0x7b,0x8f,0x9d,0xaf,0x3b,0xa5,0xcc,0x56,0x2c,0x47,0x9d,
};
#endif // BITCOIN_CHAINPARAMSSEEDS_H
diff --git a/src/checkqueue.h b/src/checkqueue.h
index 4ceeb3600a..d0e88a3410 100644
--- a/src/checkqueue.h
+++ b/src/checkqueue.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,6 +7,7 @@
#include <sync.h>
#include <tinyformat.h>
+#include <util/syscall_sandbox.h>
#include <util/threadnames.h>
#include <algorithm>
@@ -151,6 +152,7 @@ public:
for (int n = 0; n < threads_num; ++n) {
m_worker_threads.emplace_back([this, n]() {
util::ThreadRename(strprintf("scriptch.%i", n));
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::VALIDATION_SCRIPT_CHECK);
Loop(false /* worker thread */);
});
}
@@ -165,16 +167,24 @@ public:
//! Add a batch of checks to the queue
void Add(std::vector<T>& vChecks)
{
- LOCK(m_mutex);
- for (T& check : vChecks) {
- queue.push_back(T());
- check.swap(queue.back());
+ if (vChecks.empty()) {
+ return;
}
- nTodo += vChecks.size();
- if (vChecks.size() == 1)
+
+ {
+ LOCK(m_mutex);
+ for (T& check : vChecks) {
+ queue.emplace_back();
+ check.swap(queue.back());
+ }
+ nTodo += vChecks.size();
+ }
+
+ if (vChecks.size() == 1) {
m_worker_cv.notify_one();
- else if (vChecks.size() > 1)
+ } else {
m_worker_cv.notify_all();
+ }
}
//! Stop all of the worker threads.
diff --git a/src/clientversion.cpp b/src/clientversion.cpp
index 29c38e2d3b..9b65952b02 100644
--- a/src/clientversion.cpp
+++ b/src/clientversion.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -30,8 +30,10 @@ const std::string CLIENT_NAME("Satoshi");
#define BUILD_DESC BUILD_GIT_TAG
#define BUILD_SUFFIX ""
#else
- #define BUILD_DESC "v" STRINGIZE(CLIENT_VERSION_MAJOR) "." STRINGIZE(CLIENT_VERSION_MINOR) "." STRINGIZE(CLIENT_VERSION_BUILD)
- #ifdef BUILD_GIT_COMMIT
+ #define BUILD_DESC "v" PACKAGE_VERSION
+ #if CLIENT_VERSION_IS_RELEASE
+ #define BUILD_SUFFIX ""
+ #elif defined(BUILD_GIT_COMMIT)
#define BUILD_SUFFIX "-" BUILD_GIT_COMMIT
#elif defined(GIT_COMMIT_ID)
#define BUILD_SUFFIX "-g" GIT_COMMIT_ID
@@ -40,8 +42,6 @@ const std::string CLIENT_NAME("Satoshi");
#endif
#endif
-const std::string CLIENT_BUILD(BUILD_DESC BUILD_SUFFIX);
-
static std::string FormatVersion(int nVersion)
{
return strprintf("%d.%d.%d", nVersion / 10000, (nVersion / 100) % 100, nVersion % 100);
@@ -49,6 +49,7 @@ static std::string FormatVersion(int nVersion)
std::string FormatFullVersion()
{
+ static const std::string CLIENT_BUILD(BUILD_DESC BUILD_SUFFIX);
return CLIENT_BUILD;
}
diff --git a/src/clientversion.h b/src/clientversion.h
index 0ed3f68094..a39d96292d 100644
--- a/src/clientversion.h
+++ b/src/clientversion.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -36,7 +36,6 @@ static const int CLIENT_VERSION =
+ 1 * CLIENT_VERSION_BUILD;
extern const std::string CLIENT_NAME;
-extern const std::string CLIENT_BUILD;
std::string FormatFullVersion();
diff --git a/src/coins.cpp b/src/coins.cpp
index d52851cadd..1abdcb54d2 100644
--- a/src/coins.cpp
+++ b/src/coins.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,13 +7,14 @@
#include <consensus/consensus.h>
#include <logging.h>
#include <random.h>
+#include <util/trace.h>
#include <version.h>
bool CCoinsView::GetCoin(const COutPoint &outpoint, Coin &coin) const { return false; }
uint256 CCoinsView::GetBestBlock() const { return uint256(); }
std::vector<uint256> CCoinsView::GetHeadBlocks() const { return std::vector<uint256>(); }
bool CCoinsView::BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock) { return false; }
-CCoinsViewCursor *CCoinsView::Cursor() const { return nullptr; }
+std::unique_ptr<CCoinsViewCursor> CCoinsView::Cursor() const { return nullptr; }
bool CCoinsView::HaveCoin(const COutPoint &outpoint) const
{
@@ -28,7 +29,7 @@ uint256 CCoinsViewBacked::GetBestBlock() const { return base->GetBestBlock(); }
std::vector<uint256> CCoinsViewBacked::GetHeadBlocks() const { return base->GetHeadBlocks(); }
void CCoinsViewBacked::SetBackend(CCoinsView &viewIn) { base = &viewIn; }
bool CCoinsViewBacked::BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock) { return base->BatchWrite(mapCoins, hashBlock); }
-CCoinsViewCursor *CCoinsViewBacked::Cursor() const { return base->Cursor(); }
+std::unique_ptr<CCoinsViewCursor> CCoinsViewBacked::Cursor() const { return base->Cursor(); }
size_t CCoinsViewBacked::EstimateSize() const { return base->EstimateSize(); }
CCoinsViewCache::CCoinsViewCache(CCoinsView *baseIn) : CCoinsViewBacked(baseIn), cachedCoinsUsage(0) {}
@@ -95,6 +96,12 @@ void CCoinsViewCache::AddCoin(const COutPoint &outpoint, Coin&& coin, bool possi
it->second.coin = std::move(coin);
it->second.flags |= CCoinsCacheEntry::DIRTY | (fresh ? CCoinsCacheEntry::FRESH : 0);
cachedCoinsUsage += it->second.coin.DynamicMemoryUsage();
+ TRACE5(utxocache, add,
+ outpoint.hash.data(),
+ (uint32_t)outpoint.n,
+ (uint32_t)coin.nHeight,
+ (int64_t)coin.out.nValue,
+ (bool)coin.IsCoinBase());
}
void CCoinsViewCache::EmplaceCoinInternalDANGER(COutPoint&& outpoint, Coin&& coin) {
@@ -120,6 +127,12 @@ bool CCoinsViewCache::SpendCoin(const COutPoint &outpoint, Coin* moveout) {
CCoinsMap::iterator it = FetchCoin(outpoint);
if (it == cacheCoins.end()) return false;
cachedCoinsUsage -= it->second.coin.DynamicMemoryUsage();
+ TRACE5(utxocache, spent,
+ outpoint.hash.data(),
+ (uint32_t)outpoint.n,
+ (uint32_t)it->second.coin.nHeight,
+ (int64_t)it->second.coin.out.nValue,
+ (bool)it->second.coin.IsCoinBase());
if (moveout) {
*moveout = std::move(it->second.coin);
}
@@ -231,6 +244,12 @@ void CCoinsViewCache::Uncache(const COutPoint& hash)
CCoinsMap::iterator it = cacheCoins.find(hash);
if (it != cacheCoins.end() && it->second.flags == 0) {
cachedCoinsUsage -= it->second.coin.DynamicMemoryUsage();
+ TRACE5(utxocache, uncache,
+ hash.hash.data(),
+ (uint32_t)hash.n,
+ (uint32_t)it->second.coin.nHeight,
+ (int64_t)it->second.coin.out.nValue,
+ (bool)it->second.coin.IsCoinBase());
cacheCoins.erase(it);
}
}
diff --git a/src/coins.h b/src/coins.h
index feb441fd6a..de297dd427 100644
--- a/src/coins.h
+++ b/src/coins.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -20,8 +20,6 @@
#include <functional>
#include <unordered_map>
-class ChainstateManager;
-
/**
* A UTXO entry.
*
@@ -75,6 +73,9 @@ public:
::Unserialize(s, Using<TxOutCompression>(out));
}
+ /** Either this coin never existed (see e.g. coinEmpty in coins.cpp), or it
+ * did exist and has been spent.
+ */
bool IsSpent() const {
return out.IsNull();
}
@@ -179,7 +180,7 @@ public:
virtual bool BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock);
//! Get a cursor to iterate over the whole state
- virtual CCoinsViewCursor *Cursor() const;
+ virtual std::unique_ptr<CCoinsViewCursor> Cursor() const;
//! As we use CCoinsViews polymorphically, have a virtual destructor
virtual ~CCoinsView() {}
@@ -203,7 +204,7 @@ public:
std::vector<uint256> GetHeadBlocks() const override;
void SetBackend(CCoinsView &viewIn);
bool BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock) override;
- CCoinsViewCursor *Cursor() const override;
+ std::unique_ptr<CCoinsViewCursor> Cursor() const override;
size_t EstimateSize() const override;
};
@@ -236,7 +237,7 @@ public:
uint256 GetBestBlock() const override;
void SetBestBlock(const uint256 &hashBlock);
bool BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock) override;
- CCoinsViewCursor* Cursor() const override {
+ std::unique_ptr<CCoinsViewCursor> Cursor() const override {
throw std::logic_error("CCoinsViewCache cursor iteration not supported.");
}
diff --git a/src/bloom.cpp b/src/common/bloom.cpp
index d0128a26d7..8b32a6c94a 100644
--- a/src/bloom.cpp
+++ b/src/common/bloom.cpp
@@ -1,23 +1,26 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <bloom.h>
+#include <common/bloom.h>
-#include <primitives/transaction.h>
#include <hash.h>
+#include <primitives/transaction.h>
+#include <random.h>
#include <script/script.h>
#include <script/standard.h>
-#include <random.h>
+#include <span.h>
#include <streams.h>
-
-#include <math.h>
-#include <stdlib.h>
+#include <util/fastrange.h>
#include <algorithm>
+#include <cmath>
+#include <cstdlib>
+#include <limits>
+#include <vector>
-#define LN2SQUARED 0.4804530139182014246671025263266649717305529515945455
-#define LN2 0.6931471805599453094172321214581765680755001343602552
+static constexpr double LN2SQUARED = 0.4804530139182014246671025263266649717305529515945455;
+static constexpr double LN2 = 0.6931471805599453094172321214581765680755001343602552;
CBloomFilter::CBloomFilter(const unsigned int nElements, const double nFPRate, const unsigned int nTweakIn, unsigned char nFlagsIn) :
/**
@@ -37,13 +40,13 @@ CBloomFilter::CBloomFilter(const unsigned int nElements, const double nFPRate, c
{
}
-inline unsigned int CBloomFilter::Hash(unsigned int nHashNum, const std::vector<unsigned char>& vDataToHash) const
+inline unsigned int CBloomFilter::Hash(unsigned int nHashNum, Span<const unsigned char> vDataToHash) const
{
// 0xFBA4C795 chosen as it guarantees a reasonable bit difference between nHashNum values.
return MurmurHash3(nHashNum * 0xFBA4C795 + nTweak, vDataToHash) % (vData.size() * 8);
}
-void CBloomFilter::insert(const std::vector<unsigned char>& vKey)
+void CBloomFilter::insert(Span<const unsigned char> vKey)
{
if (vData.empty()) // Avoid divide-by-zero (CVE-2013-5700)
return;
@@ -59,17 +62,10 @@ void CBloomFilter::insert(const COutPoint& outpoint)
{
CDataStream stream(SER_NETWORK, PROTOCOL_VERSION);
stream << outpoint;
- std::vector<unsigned char> data(stream.begin(), stream.end());
- insert(data);
+ insert(MakeUCharSpan(stream));
}
-void CBloomFilter::insert(const uint256& hash)
-{
- std::vector<unsigned char> data(hash.begin(), hash.end());
- insert(data);
-}
-
-bool CBloomFilter::contains(const std::vector<unsigned char>& vKey) const
+bool CBloomFilter::contains(Span<const unsigned char> vKey) const
{
if (vData.empty()) // Avoid divide-by-zero (CVE-2013-5700)
return true;
@@ -87,14 +83,7 @@ bool CBloomFilter::contains(const COutPoint& outpoint) const
{
CDataStream stream(SER_NETWORK, PROTOCOL_VERSION);
stream << outpoint;
- std::vector<unsigned char> data(stream.begin(), stream.end());
- return contains(data);
-}
-
-bool CBloomFilter::contains(const uint256& hash) const
-{
- std::vector<unsigned char> data(hash.begin(), hash.end());
- return contains(data);
+ return contains(MakeUCharSpan(stream));
}
bool CBloomFilter::IsWithinSizeConstraints() const
@@ -198,19 +187,12 @@ CRollingBloomFilter::CRollingBloomFilter(const unsigned int nElements, const dou
}
/* Similar to CBloomFilter::Hash */
-static inline uint32_t RollingBloomHash(unsigned int nHashNum, uint32_t nTweak, const std::vector<unsigned char>& vDataToHash) {
+static inline uint32_t RollingBloomHash(unsigned int nHashNum, uint32_t nTweak, Span<const unsigned char> vDataToHash)
+{
return MurmurHash3(nHashNum * 0xFBA4C795 + nTweak, vDataToHash);
}
-
-// A replacement for x % n. This assumes that x and n are 32bit integers, and x is a uniformly random distributed 32bit value
-// which should be the case for a good hash.
-// See https://lemire.me/blog/2016/06/27/a-fast-alternative-to-the-modulo-reduction/
-static inline uint32_t FastMod(uint32_t x, size_t n) {
- return ((uint64_t)x * (uint64_t)n) >> 32;
-}
-
-void CRollingBloomFilter::insert(const std::vector<unsigned char>& vKey)
+void CRollingBloomFilter::insert(Span<const unsigned char> vKey)
{
if (nEntriesThisGeneration == nEntriesPerGeneration) {
nEntriesThisGeneration = 0;
@@ -234,39 +216,27 @@ void CRollingBloomFilter::insert(const std::vector<unsigned char>& vKey)
uint32_t h = RollingBloomHash(n, nTweak, vKey);
int bit = h & 0x3F;
/* FastMod works with the upper bits of h, so it is safe to ignore that the lower bits of h are already used for bit. */
- uint32_t pos = FastMod(h, data.size());
+ uint32_t pos = FastRange32(h, data.size());
/* The lowest bit of pos is ignored, and set to zero for the first bit, and to one for the second. */
- data[pos & ~1] = (data[pos & ~1] & ~(((uint64_t)1) << bit)) | ((uint64_t)(nGeneration & 1)) << bit;
- data[pos | 1] = (data[pos | 1] & ~(((uint64_t)1) << bit)) | ((uint64_t)(nGeneration >> 1)) << bit;
+ data[pos & ~1U] = (data[pos & ~1U] & ~(uint64_t{1} << bit)) | (uint64_t(nGeneration & 1)) << bit;
+ data[pos | 1] = (data[pos | 1] & ~(uint64_t{1} << bit)) | (uint64_t(nGeneration >> 1)) << bit;
}
}
-void CRollingBloomFilter::insert(const uint256& hash)
-{
- std::vector<unsigned char> vData(hash.begin(), hash.end());
- insert(vData);
-}
-
-bool CRollingBloomFilter::contains(const std::vector<unsigned char>& vKey) const
+bool CRollingBloomFilter::contains(Span<const unsigned char> vKey) const
{
for (int n = 0; n < nHashFuncs; n++) {
uint32_t h = RollingBloomHash(n, nTweak, vKey);
int bit = h & 0x3F;
- uint32_t pos = FastMod(h, data.size());
+ uint32_t pos = FastRange32(h, data.size());
/* If the relevant bit is not set in either data[pos & ~1] or data[pos | 1], the filter does not contain vKey */
- if (!(((data[pos & ~1] | data[pos | 1]) >> bit) & 1)) {
+ if (!(((data[pos & ~1U] | data[pos | 1]) >> bit) & 1)) {
return false;
}
}
return true;
}
-bool CRollingBloomFilter::contains(const uint256& hash) const
-{
- std::vector<unsigned char> vData(hash.begin(), hash.end());
- return contains(vData);
-}
-
void CRollingBloomFilter::reset()
{
nTweak = GetRand(std::numeric_limits<unsigned int>::max());
diff --git a/src/bloom.h b/src/common/bloom.h
index fdaa8abfb2..4f7473d8ff 100644
--- a/src/bloom.h
+++ b/src/common/bloom.h
@@ -1,21 +1,21 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#ifndef BITCOIN_BLOOM_H
-#define BITCOIN_BLOOM_H
+#ifndef BITCOIN_COMMON_BLOOM_H
+#define BITCOIN_COMMON_BLOOM_H
#include <serialize.h>
+#include <span.h>
#include <vector>
class COutPoint;
class CTransaction;
-class uint256;
//! 20,000 items with fp rate < 0.1% or 10,000 items and <0.0001%
-static const unsigned int MAX_BLOOM_FILTER_SIZE = 36000; // bytes
-static const unsigned int MAX_HASH_FUNCS = 50;
+static constexpr unsigned int MAX_BLOOM_FILTER_SIZE = 36000; // bytes
+static constexpr unsigned int MAX_HASH_FUNCS = 50;
/**
* First two bits of nFlags control how much IsRelevantAndUpdate actually updates
@@ -49,7 +49,7 @@ private:
unsigned int nTweak;
unsigned char nFlags;
- unsigned int Hash(unsigned int nHashNum, const std::vector<unsigned char>& vDataToHash) const;
+ unsigned int Hash(unsigned int nHashNum, Span<const unsigned char> vDataToHash) const;
public:
/**
@@ -66,13 +66,11 @@ public:
SERIALIZE_METHODS(CBloomFilter, obj) { READWRITE(obj.vData, obj.nHashFuncs, obj.nTweak, obj.nFlags); }
- void insert(const std::vector<unsigned char>& vKey);
+ void insert(Span<const unsigned char> vKey);
void insert(const COutPoint& outpoint);
- void insert(const uint256& hash);
- bool contains(const std::vector<unsigned char>& vKey) const;
+ bool contains(Span<const unsigned char> vKey) const;
bool contains(const COutPoint& outpoint) const;
- bool contains(const uint256& hash) const;
//! True if the size is <= MAX_BLOOM_FILTER_SIZE and the number of hash functions is <= MAX_HASH_FUNCS
//! (catch a filter which was just deserialized which was too big)
@@ -112,10 +110,8 @@ class CRollingBloomFilter
public:
CRollingBloomFilter(const unsigned int nElements, const double nFPRate);
- void insert(const std::vector<unsigned char>& vKey);
- void insert(const uint256& hash);
- bool contains(const std::vector<unsigned char>& vKey) const;
- bool contains(const uint256& hash) const;
+ void insert(Span<const unsigned char> vKey);
+ bool contains(Span<const unsigned char> vKey) const;
void reset();
@@ -128,4 +124,4 @@ private:
int nHashFuncs;
};
-#endif // BITCOIN_BLOOM_H
+#endif // BITCOIN_COMMON_BLOOM_H
diff --git a/src/compat.h b/src/compat.h
index 3449bc2661..237b881b11 100644
--- a/src/compat.h
+++ b/src/compat.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/compat/assumptions.h b/src/compat/assumptions.h
index 5f50cde3ff..92615b582a 100644
--- a/src/compat/assumptions.h
+++ b/src/compat/assumptions.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -36,11 +36,6 @@ static_assert(std::numeric_limits<double>::is_iec559, "IEEE 754 double assumed")
// Example(s): Everywhere :-)
static_assert(std::numeric_limits<unsigned char>::digits == 8, "8-bit byte assumed");
-// Assumption: We assume floating-point widths.
-// Example(s): Type punning in serialization code (ser_{float,double}_to_uint{32,64}).
-static_assert(sizeof(float) == 4, "32-bit float assumed");
-static_assert(sizeof(double) == 8, "64-bit double assumed");
-
// Assumption: We assume integer widths.
// Example(s): GetSizeOfCompactSize and WriteCompactSize in the serialization
// code.
diff --git a/src/compat/glibc_compat.cpp b/src/compat/glibc_compat.cpp
deleted file mode 100644
index 8a51f310f7..0000000000
--- a/src/compat/glibc_compat.cpp
+++ /dev/null
@@ -1,69 +0,0 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#if defined(HAVE_CONFIG_H)
-#include <config/bitcoin-config.h>
-#endif
-
-#include <cstddef>
-#include <cstdint>
-
-// Prior to GLIBC_2.14, memcpy was aliased to memmove.
-extern "C" void* memmove(void* a, const void* b, size_t c);
-extern "C" void* memcpy(void* a, const void* b, size_t c)
-{
- return memmove(a, b, c);
-}
-
-#if defined(__i386__) || defined(__arm__)
-
-extern "C" int64_t __udivmoddi4(uint64_t u, uint64_t v, uint64_t* rp);
-
-extern "C" int64_t __wrap___divmoddi4(int64_t u, int64_t v, int64_t* rp)
-{
- int32_t c1 = 0, c2 = 0;
- int64_t uu = u, vv = v;
- int64_t w;
- int64_t r;
-
- if (uu < 0) {
- c1 = ~c1, c2 = ~c2, uu = -uu;
- }
- if (vv < 0) {
- c1 = ~c1, vv = -vv;
- }
-
- w = __udivmoddi4(uu, vv, (uint64_t*)&r);
- if (c1)
- w = -w;
- if (c2)
- r = -r;
-
- *rp = r;
- return w;
-}
-#endif
-
-extern "C" float log2f_old(float x);
-#ifdef __i386__
-__asm(".symver log2f_old,log2f@GLIBC_2.1");
-#elif defined(__amd64__)
-__asm(".symver log2f_old,log2f@GLIBC_2.2.5");
-#elif defined(__arm__)
-__asm(".symver log2f_old,log2f@GLIBC_2.4");
-#elif defined(__aarch64__)
-__asm(".symver log2f_old,log2f@GLIBC_2.17");
-#elif defined(__powerpc64__)
-# ifdef WORDS_BIGENDIAN
-__asm(".symver log2f_old,log2f@GLIBC_2.3");
-# else
-__asm(".symver log2f_old,log2f@GLIBC_2.17");
-# endif
-#elif defined(__riscv)
-__asm(".symver log2f_old,log2f@GLIBC_2.27");
-#endif
-extern "C" float __wrap_log2f(float x)
-{
- return log2f_old(x);
-}
diff --git a/src/compat/glibc_sanity.cpp b/src/compat/glibc_sanity.cpp
deleted file mode 100644
index 06d0dd6fba..0000000000
--- a/src/compat/glibc_sanity.cpp
+++ /dev/null
@@ -1,45 +0,0 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#if defined(HAVE_CONFIG_H)
-#include <config/bitcoin-config.h>
-#endif
-
-#include <cstddef>
-
-extern "C" void* memcpy(void* a, const void* b, size_t c);
-void* memcpy_int(void* a, const void* b, size_t c)
-{
- return memcpy(a, b, c);
-}
-
-namespace
-{
-// trigger: Use the memcpy_int wrapper which calls our internal memcpy.
-// A direct call to memcpy may be optimized away by the compiler.
-// test: Fill an array with a sequence of integers. memcpy to a new empty array.
-// Verify that the arrays are equal. Use an odd size to decrease the odds of
-// the call being optimized away.
-template <unsigned int T>
-bool sanity_test_memcpy()
-{
- unsigned int memcpy_test[T];
- unsigned int memcpy_verify[T] = {};
- for (unsigned int i = 0; i != T; ++i)
- memcpy_test[i] = i;
-
- memcpy_int(memcpy_verify, memcpy_test, sizeof(memcpy_test));
-
- for (unsigned int i = 0; i != T; ++i) {
- if (memcpy_verify[i] != i)
- return false;
- }
- return true;
-}
-} // namespace
-
-bool glibc_sanity_test()
-{
- return sanity_test_memcpy<1025>();
-}
diff --git a/src/compat/sanity.h b/src/compat/sanity.h
index 909c4f6da8..8e5811f1fd 100644
--- a/src/compat/sanity.h
+++ b/src/compat/sanity.h
@@ -1,11 +1,10 @@
-// Copyright (c) 2009-2014 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_COMPAT_SANITY_H
#define BITCOIN_COMPAT_SANITY_H
-bool glibc_sanity_test();
bool glibcxx_sanity_test();
#endif // BITCOIN_COMPAT_SANITY_H
diff --git a/src/compressor.cpp b/src/compressor.cpp
index a70306d320..32af8eab49 100644
--- a/src/compressor.cpp
+++ b/src/compressor.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -52,7 +52,7 @@ static bool IsToPubKey(const CScript& script, CPubKey &pubkey)
return false;
}
-bool CompressScript(const CScript& script, std::vector<unsigned char> &out)
+bool CompressScript(const CScript& script, CompressedScript& out)
{
CKeyID keyID;
if (IsToKeyID(script, keyID)) {
@@ -92,7 +92,7 @@ unsigned int GetSpecialScriptSize(unsigned int nSize)
return 0;
}
-bool DecompressScript(CScript& script, unsigned int nSize, const std::vector<unsigned char> &in)
+bool DecompressScript(CScript& script, unsigned int nSize, const CompressedScript& in)
{
switch(nSize) {
case 0x00:
@@ -124,7 +124,7 @@ bool DecompressScript(CScript& script, unsigned int nSize, const std::vector<uns
unsigned char vch[33] = {};
vch[0] = nSize - 2;
memcpy(&vch[1], in.data(), 32);
- CPubKey pubkey(&vch[0], &vch[33]);
+ CPubKey pubkey{vch};
if (!pubkey.Decompress())
return false;
assert(pubkey.size() == 65);
diff --git a/src/compressor.h b/src/compressor.h
index 478bfff0b6..0968454679 100644
--- a/src/compressor.h
+++ b/src/compressor.h
@@ -1,19 +1,31 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_COMPRESSOR_H
#define BITCOIN_COMPRESSOR_H
+#include <prevector.h>
#include <primitives/transaction.h>
#include <script/script.h>
#include <serialize.h>
#include <span.h>
-bool CompressScript(const CScript& script, std::vector<unsigned char> &out);
+/**
+ * This saves us from making many heap allocations when serializing
+ * and deserializing compressed scripts.
+ *
+ * This prevector size is determined by the largest .resize() in the
+ * CompressScript function. The largest compressed script format is a
+ * compressed public key, which is 33 bytes.
+ */
+using CompressedScript = prevector<33, unsigned char>;
+
+
+bool CompressScript(const CScript& script, CompressedScript& out);
unsigned int GetSpecialScriptSize(unsigned int nSize);
-bool DecompressScript(CScript& script, unsigned int nSize, const std::vector<unsigned char> &out);
+bool DecompressScript(CScript& script, unsigned int nSize, const CompressedScript& in);
/**
* Compress amount.
@@ -51,14 +63,14 @@ struct ScriptCompression
template<typename Stream>
void Ser(Stream &s, const CScript& script) {
- std::vector<unsigned char> compr;
+ CompressedScript compr;
if (CompressScript(script, compr)) {
- s << MakeSpan(compr);
+ s << Span{compr};
return;
}
unsigned int nSize = script.size() + nSpecialScripts;
s << VARINT(nSize);
- s << MakeSpan(script);
+ s << Span{script};
}
template<typename Stream>
@@ -66,8 +78,8 @@ struct ScriptCompression
unsigned int nSize = 0;
s >> VARINT(nSize);
if (nSize < nSpecialScripts) {
- std::vector<unsigned char> vch(GetSpecialScriptSize(nSize), 0x00);
- s >> MakeSpan(vch);
+ CompressedScript vch(GetSpecialScriptSize(nSize), 0x00);
+ s >> Span{vch};
DecompressScript(script, nSize, vch);
return;
}
@@ -78,7 +90,7 @@ struct ScriptCompression
s.ignore(nSize);
} else {
script.resize(nSize);
- s >> MakeSpan(script);
+ s >> Span{script};
}
}
};
diff --git a/src/amount.h b/src/consensus/amount.h
index 47968e80b1..f0eb4e0723 100644
--- a/src/amount.h
+++ b/src/consensus/amount.h
@@ -1,17 +1,18 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2018 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#ifndef BITCOIN_AMOUNT_H
-#define BITCOIN_AMOUNT_H
+#ifndef BITCOIN_CONSENSUS_AMOUNT_H
+#define BITCOIN_CONSENSUS_AMOUNT_H
-#include <stdint.h>
+#include <cstdint>
/** Amount in satoshis (Can be negative) */
typedef int64_t CAmount;
-static const CAmount COIN = 100000000;
+/** The amount of satoshis in one BTC. */
+static constexpr CAmount COIN = 100000000;
/** No amount larger than this (in satoshi) is valid.
*
@@ -22,7 +23,7 @@ static const CAmount COIN = 100000000;
* critical; in unusual circumstances like a(nother) overflow bug that allowed
* for the creation of coins out of thin air modification could lead to a fork.
* */
-static const CAmount MAX_MONEY = 21000000 * COIN;
+static constexpr CAmount MAX_MONEY = 21000000 * COIN;
inline bool MoneyRange(const CAmount& nValue) { return (nValue >= 0 && nValue <= MAX_MONEY); }
-#endif // BITCOIN_AMOUNT_H
+#endif // BITCOIN_CONSENSUS_AMOUNT_H
diff --git a/src/consensus/params.h b/src/consensus/params.h
index 217cb019e1..1ed5ca469f 100644
--- a/src/consensus/params.h
+++ b/src/consensus/params.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,13 +11,27 @@
namespace Consensus {
-enum DeploymentPos
-{
+/**
+ * A buried deployment is one where the height of the activation has been hardcoded into
+ * the client implementation long after the consensus change has activated. See BIP 90.
+ */
+enum BuriedDeployment : int16_t {
+ // buried deployments get negative values to avoid overlap with DeploymentPos
+ DEPLOYMENT_HEIGHTINCB = std::numeric_limits<int16_t>::min(),
+ DEPLOYMENT_CLTV,
+ DEPLOYMENT_DERSIG,
+ DEPLOYMENT_CSV,
+ DEPLOYMENT_SEGWIT,
+};
+constexpr bool ValidDeployment(BuriedDeployment dep) { return dep <= DEPLOYMENT_SEGWIT; }
+
+enum DeploymentPos : uint16_t {
DEPLOYMENT_TESTDUMMY,
DEPLOYMENT_TAPROOT, // Deployment of Schnorr/Taproot (BIPs 340-342)
- // NOTE: Also add new deployments to VersionBitsDeploymentInfo in versionbits.cpp
+ // NOTE: Also add new deployments to VersionBitsDeploymentInfo in deploymentinfo.cpp
MAX_VERSION_BITS_DEPLOYMENTS
};
+constexpr bool ValidDeployment(DeploymentPos dep) { return dep < MAX_VERSION_BITS_DEPLOYMENTS; }
/**
* Struct for each individual consensus rule change using BIP9.
@@ -29,6 +43,11 @@ struct BIP9Deployment {
int64_t nStartTime;
/** Timeout/expiry MedianTime for the deployment attempt. */
int64_t nTimeout;
+ /** If lock in occurs, delay activation until at least this block
+ * height. Note that activation will only occur on a retarget
+ * boundary.
+ */
+ int min_activation_height{0};
/** Constant for nTimeout very far in the future. */
static constexpr int64_t NO_TIMEOUT = std::numeric_limits<int64_t>::max();
@@ -38,6 +57,11 @@ struct BIP9Deployment {
* process (which takes at least 3 BIP9 intervals). Only tests that specifically test the
* behaviour during activation cannot use this. */
static constexpr int64_t ALWAYS_ACTIVE = -1;
+
+ /** Special value for nStartTime indicating that the deployment is never active.
+ * This is useful for integrating the code changes for a new feature
+ * prior to deploying it on some or all networks. */
+ static constexpr int64_t NEVER_ACTIVE = -2;
};
/**
@@ -90,7 +114,25 @@ struct Params {
*/
bool signet_blocks{false};
std::vector<uint8_t> signet_challenge;
+
+ int DeploymentHeight(BuriedDeployment dep) const
+ {
+ switch (dep) {
+ case DEPLOYMENT_HEIGHTINCB:
+ return BIP34Height;
+ case DEPLOYMENT_CLTV:
+ return BIP65Height;
+ case DEPLOYMENT_DERSIG:
+ return BIP66Height;
+ case DEPLOYMENT_CSV:
+ return CSVHeight;
+ case DEPLOYMENT_SEGWIT:
+ return SegwitHeight;
+ } // no default case, so the compiler can warn about missing cases
+ return std::numeric_limits<int>::max();
+ }
};
+
} // namespace Consensus
#endif // BITCOIN_CONSENSUS_PARAMS_H
diff --git a/src/consensus/tx_check.cpp b/src/consensus/tx_check.cpp
index bb8cd10c63..f949655909 100644
--- a/src/consensus/tx_check.cpp
+++ b/src/consensus/tx_check.cpp
@@ -1,9 +1,10 @@
-// Copyright (c) 2017-2019 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <consensus/tx_check.h>
+#include <consensus/amount.h>
#include <primitives/transaction.h>
#include <consensus/validation.h>
diff --git a/src/consensus/tx_verify.cpp b/src/consensus/tx_verify.cpp
index f595f16eab..5738c333ce 100644
--- a/src/consensus/tx_verify.cpp
+++ b/src/consensus/tx_verify.cpp
@@ -1,17 +1,16 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <consensus/tx_verify.h>
+#include <chain.h>
+#include <coins.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
+#include <consensus/validation.h>
#include <primitives/transaction.h>
#include <script/interpreter.h>
-#include <consensus/validation.h>
-
-// TODO remove the following dependencies
-#include <chain.h>
-#include <coins.h>
#include <util/moneystr.h>
bool IsFinalTx(const CTransaction &tx, int nBlockHeight, int64_t nBlockTime)
@@ -20,6 +19,15 @@ bool IsFinalTx(const CTransaction &tx, int nBlockHeight, int64_t nBlockTime)
return true;
if ((int64_t)tx.nLockTime < ((int64_t)tx.nLockTime < LOCKTIME_THRESHOLD ? (int64_t)nBlockHeight : nBlockTime))
return true;
+
+ // Even if tx.nLockTime isn't satisfied by nBlockHeight/nBlockTime, a
+ // transaction is still considered final if all inputs' nSequence ==
+ // SEQUENCE_FINAL (0xffffffff), in which case nLockTime is ignored.
+ //
+ // Because of this behavior OP_CHECKLOCKTIMEVERIFY/CheckLockTime() will
+ // also check that the spending input's nSequence != SEQUENCE_FINAL,
+ // ensuring that an unsatisfied nLockTime value will actually cause
+ // IsFinalTx() to return false here:
for (const auto& txin : tx.vin) {
if (!(txin.nSequence == CTxIn::SEQUENCE_FINAL))
return false;
@@ -135,7 +143,7 @@ unsigned int GetP2SHSigOpCount(const CTransaction& tx, const CCoinsViewCache& in
return nSigOps;
}
-int64_t GetTransactionSigOpCost(const CTransaction& tx, const CCoinsViewCache& inputs, int flags)
+int64_t GetTransactionSigOpCost(const CTransaction& tx, const CCoinsViewCache& inputs, uint32_t flags)
{
int64_t nSigOps = GetLegacySigOpCount(tx) * WITNESS_SCALE_FACTOR;
diff --git a/src/consensus/tx_verify.h b/src/consensus/tx_verify.h
index e78dc9f2a5..1209c0faa5 100644
--- a/src/consensus/tx_verify.h
+++ b/src/consensus/tx_verify.h
@@ -1,11 +1,11 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_CONSENSUS_TX_VERIFY_H
#define BITCOIN_CONSENSUS_TX_VERIFY_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <stdint.h>
#include <vector>
@@ -24,7 +24,7 @@ namespace Consensus {
* @param[out] txfee Set to the transaction fee if successful.
* Preconditions: tx.IsCoinBase() is false.
*/
-bool CheckTxInputs(const CTransaction& tx, TxValidationState& state, const CCoinsViewCache& inputs, int nSpendHeight, CAmount& txfee);
+[[nodiscard]] bool CheckTxInputs(const CTransaction& tx, TxValidationState& state, const CCoinsViewCache& inputs, int nSpendHeight, CAmount& txfee);
} // namespace Consensus
/** Auxiliary functions for transaction validation (ideally should not be exposed) */
@@ -49,10 +49,10 @@ unsigned int GetP2SHSigOpCount(const CTransaction& tx, const CCoinsViewCache& ma
* Compute total signature operation cost of a transaction.
* @param[in] tx Transaction for which we are computing the cost
* @param[in] inputs Map of previous transactions that have outputs we're spending
- * @param[out] flags Script verification flags
+ * @param[in] flags Script verification flags
* @return Total signature operation cost of tx
*/
-int64_t GetTransactionSigOpCost(const CTransaction& tx, const CCoinsViewCache& inputs, int flags);
+int64_t GetTransactionSigOpCost(const CTransaction& tx, const CCoinsViewCache& inputs, uint32_t flags);
/**
* Check if transaction is final and can be included in a block with the
diff --git a/src/consensus/validation.h b/src/consensus/validation.h
index c4d305434a..6027bb9aeb 100644
--- a/src/consensus/validation.h
+++ b/src/consensus/validation.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -53,6 +53,7 @@ enum class TxValidationResult {
*/
TX_CONFLICT,
TX_MEMPOOL_POLICY, //!< violated mempool's fee/size/descendant/RBF/etc limits
+ TX_NO_MEMPOOL, //!< this node does not have a mempool so can't validate the transaction
};
/** A "reason" why a block was invalid, suitable for determining whether the
diff --git a/src/core_io.h b/src/core_io.h
index 01340ae2ee..69b9ac3ebd 100644
--- a/src/core_io.h
+++ b/src/core_io.h
@@ -1,11 +1,11 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_CORE_IO_H
#define BITCOIN_CORE_IO_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <attributes.h>
#include <string>
@@ -20,6 +20,15 @@ class uint256;
class UniValue;
class CTxUndo;
+/**
+ * Verbose level for block's transaction
+ */
+enum class TxVerbosity {
+ SHOW_TXID, //!< Only TXID for each block's transaction
+ SHOW_DETAILS, //!< Include TXID, inputs, outputs, and other common block's transaction information
+ SHOW_DETAILS_AND_PREVOUT //!< The same as previous option with information about prevouts if available
+};
+
// core_read.cpp
CScript ParseScript(const std::string& s);
std::string ScriptToAsmStr(const CScript& script, const bool fAttemptSighashDecode = false);
@@ -44,8 +53,8 @@ UniValue ValueFromAmount(const CAmount amount);
std::string FormatScript(const CScript& script);
std::string EncodeHexTx(const CTransaction& tx, const int serializeFlags = 0);
std::string SighashToStr(unsigned char sighash_type);
-void ScriptPubKeyToUniv(const CScript& scriptPubKey, UniValue& out, bool fIncludeHex);
-void ScriptToUniv(const CScript& script, UniValue& out, bool include_address);
-void TxToUniv(const CTransaction& tx, const uint256& hashBlock, UniValue& entry, bool include_hex = true, int serialize_flags = 0, const CTxUndo* txundo = nullptr);
+void ScriptPubKeyToUniv(const CScript& scriptPubKey, UniValue& out, bool include_hex, bool include_address = true);
+void ScriptToUniv(const CScript& script, UniValue& out);
+void TxToUniv(const CTransaction& tx, const uint256& hashBlock, UniValue& entry, bool include_hex = true, int serialize_flags = 0, const CTxUndo* txundo = nullptr, TxVerbosity verbosity = TxVerbosity::SHOW_DETAILS);
#endif // BITCOIN_CORE_IO_H
diff --git a/src/core_read.cpp b/src/core_read.cpp
index b5fc93886d..3bab5b5d98 100644
--- a/src/core_read.cpp
+++ b/src/core_read.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,33 +21,43 @@
#include <string>
namespace {
-
-opcodetype ParseOpCode(const std::string& s)
+class OpCodeParser
{
- static std::map<std::string, opcodetype> mapOpNames;
+private:
+ std::map<std::string, opcodetype> mapOpNames;
- if (mapOpNames.empty())
+public:
+ OpCodeParser()
{
- for (unsigned int op = 0; op <= MAX_OPCODE; op++)
- {
+ for (unsigned int op = 0; op <= MAX_OPCODE; ++op) {
// Allow OP_RESERVED to get into mapOpNames
- if (op < OP_NOP && op != OP_RESERVED)
+ if (op < OP_NOP && op != OP_RESERVED) {
continue;
+ }
std::string strName = GetOpName(static_cast<opcodetype>(op));
- if (strName == "OP_UNKNOWN")
+ if (strName == "OP_UNKNOWN") {
continue;
+ }
mapOpNames[strName] = static_cast<opcodetype>(op);
// Convenience: OP_ADD and just ADD are both recognized:
- if (strName.compare(0, 3, "OP_") == 0) { // strName starts with "OP_"
+ if (strName.compare(0, 3, "OP_") == 0) { // strName starts with "OP_"
mapOpNames[strName.substr(3)] = static_cast<opcodetype>(op);
}
}
}
+ opcodetype Parse(const std::string& s) const
+ {
+ auto it = mapOpNames.find(s);
+ if (it == mapOpNames.end()) throw std::runtime_error("script parse error: unknown opcode");
+ return it->second;
+ }
+};
- auto it = mapOpNames.find(s);
- if (it == mapOpNames.end()) throw std::runtime_error("script parse error: unknown opcode");
- return it->second;
+opcodetype ParseOpCode(const std::string& s)
+{
+ static const OpCodeParser ocp;
+ return ocp.Parse(s);
}
} // namespace
@@ -59,44 +69,35 @@ CScript ParseScript(const std::string& s)
std::vector<std::string> words;
boost::algorithm::split(words, s, boost::algorithm::is_any_of(" \t\n"), boost::algorithm::token_compress_on);
- for (std::vector<std::string>::const_iterator w = words.begin(); w != words.end(); ++w)
- {
- if (w->empty())
- {
+ for (const std::string& w : words) {
+ if (w.empty()) {
// Empty string, ignore. (boost::split given '' will return one word)
- }
- else if (std::all_of(w->begin(), w->end(), ::IsDigit) ||
- (w->front() == '-' && w->size() > 1 && std::all_of(w->begin()+1, w->end(), ::IsDigit)))
+ } else if (std::all_of(w.begin(), w.end(), ::IsDigit) ||
+ (w.front() == '-' && w.size() > 1 && std::all_of(w.begin() + 1, w.end(), ::IsDigit)))
{
// Number
- int64_t n = atoi64(*w);
+ const auto num{ToIntegral<int64_t>(w)};
- //limit the range of numbers ParseScript accepts in decimal
- //since numbers outside -0xFFFFFFFF...0xFFFFFFFF are illegal in scripts
- if (n > int64_t{0xffffffff} || n < -1 * int64_t{0xffffffff}) {
+ // limit the range of numbers ParseScript accepts in decimal
+ // since numbers outside -0xFFFFFFFF...0xFFFFFFFF are illegal in scripts
+ if (!num.has_value() || num > int64_t{0xffffffff} || num < -1 * int64_t{0xffffffff}) {
throw std::runtime_error("script parse error: decimal numeric value only allowed in the "
"range -0xFFFFFFFF...0xFFFFFFFF");
}
- result << n;
- }
- else if (w->substr(0,2) == "0x" && w->size() > 2 && IsHex(std::string(w->begin()+2, w->end())))
- {
+ result << num.value();
+ } else if (w.substr(0, 2) == "0x" && w.size() > 2 && IsHex(std::string(w.begin() + 2, w.end()))) {
// Raw hex data, inserted NOT pushed onto stack:
- std::vector<unsigned char> raw = ParseHex(std::string(w->begin()+2, w->end()));
+ std::vector<unsigned char> raw = ParseHex(std::string(w.begin() + 2, w.end()));
result.insert(result.end(), raw.begin(), raw.end());
- }
- else if (w->size() >= 2 && w->front() == '\'' && w->back() == '\'')
- {
+ } else if (w.size() >= 2 && w.front() == '\'' && w.back() == '\'') {
// Single-quoted string, pushed as data. NOTE: this is poor-man's
// parsing, spaces/tabs/newlines in single-quoted strings won't work.
- std::vector<unsigned char> value(w->begin()+1, w->end()-1);
+ std::vector<unsigned char> value(w.begin() + 1, w.end() - 1);
result << value;
- }
- else
- {
+ } else {
// opcode, e.g. OP_ADD or ADD:
- result << ParseOpCode(*w);
+ result << ParseOpCode(w);
}
}
@@ -257,9 +258,10 @@ std::vector<unsigned char> ParseHexUV(const UniValue& v, const std::string& strN
int ParseSighashString(const UniValue& sighash)
{
- int hash_type = SIGHASH_ALL;
+ int hash_type = SIGHASH_DEFAULT;
if (!sighash.isNull()) {
static std::map<std::string, int> map_sighash_values = {
+ {std::string("DEFAULT"), int(SIGHASH_DEFAULT)},
{std::string("ALL"), int(SIGHASH_ALL)},
{std::string("ALL|ANYONECANPAY"), int(SIGHASH_ALL|SIGHASH_ANYONECANPAY)},
{std::string("NONE"), int(SIGHASH_NONE)},
diff --git a/src/core_write.cpp b/src/core_write.cpp
index d3034ae25d..c4b6b8d27e 100644
--- a/src/core_write.cpp
+++ b/src/core_write.cpp
@@ -1,12 +1,14 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <core_io.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
#include <consensus/validation.h>
#include <key_io.h>
+#include <script/descriptor.h>
#include <script/script.h>
#include <script/standard.h>
#include <serialize.h>
@@ -63,7 +65,7 @@ std::string FormatScript(const CScript& script)
ret += strprintf("0x%x ", HexStr(std::vector<uint8_t>(it2, script.end())));
break;
}
- return ret.substr(0, ret.size() - 1);
+ return ret.substr(0, ret.empty() ? ret.npos : ret.size() - 1);
}
const std::map<unsigned char, std::string> mapSigHashTypes = {
@@ -141,48 +143,29 @@ std::string EncodeHexTx(const CTransaction& tx, const int serializeFlags)
return HexStr(ssTx);
}
-void ScriptToUniv(const CScript& script, UniValue& out, bool include_address)
+void ScriptToUniv(const CScript& script, UniValue& out)
{
- out.pushKV("asm", ScriptToAsmStr(script));
- out.pushKV("hex", HexStr(script));
-
- std::vector<std::vector<unsigned char>> solns;
- TxoutType type = Solver(script, solns);
- out.pushKV("type", GetTxnOutputType(type));
-
- CTxDestination address;
- if (include_address && ExtractDestination(script, address) && type != TxoutType::PUBKEY) {
- out.pushKV("address", EncodeDestination(address));
- }
+ ScriptPubKeyToUniv(script, out, /* include_hex */ true, /* include_address */ false);
}
-void ScriptPubKeyToUniv(const CScript& scriptPubKey,
- UniValue& out, bool fIncludeHex)
+void ScriptPubKeyToUniv(const CScript& scriptPubKey, UniValue& out, bool include_hex, bool include_address)
{
- TxoutType type;
- std::vector<CTxDestination> addresses;
- int nRequired;
+ CTxDestination address;
out.pushKV("asm", ScriptToAsmStr(scriptPubKey));
- if (fIncludeHex)
- out.pushKV("hex", HexStr(scriptPubKey));
-
- if (!ExtractDestinations(scriptPubKey, type, addresses, nRequired) || type == TxoutType::PUBKEY) {
- out.pushKV("type", GetTxnOutputType(type));
- return;
- }
+ out.pushKV("desc", InferDescriptor(scriptPubKey, DUMMY_SIGNING_PROVIDER)->ToString());
+ if (include_hex) out.pushKV("hex", HexStr(scriptPubKey));
- out.pushKV("reqSigs", nRequired);
- out.pushKV("type", GetTxnOutputType(type));
+ std::vector<std::vector<unsigned char>> solns;
+ const TxoutType type{Solver(scriptPubKey, solns)};
- UniValue a(UniValue::VARR);
- for (const CTxDestination& addr : addresses) {
- a.push_back(EncodeDestination(addr));
+ if (include_address && ExtractDestination(scriptPubKey, address) && type != TxoutType::PUBKEY) {
+ out.pushKV("address", EncodeDestination(address));
}
- out.pushKV("addresses", a);
+ out.pushKV("type", GetTxnOutputType(type));
}
-void TxToUniv(const CTransaction& tx, const uint256& hashBlock, UniValue& entry, bool include_hex, int serialize_flags, const CTxUndo* txundo)
+void TxToUniv(const CTransaction& tx, const uint256& hashBlock, UniValue& entry, bool include_hex, int serialize_flags, const CTxUndo* txundo, TxVerbosity verbosity)
{
entry.pushKV("txid", tx.GetHash().GetHex());
entry.pushKV("hash", tx.GetWitnessHash().GetHex());
@@ -198,7 +181,7 @@ void TxToUniv(const CTransaction& tx, const uint256& hashBlock, UniValue& entry,
// If available, use Undo data to calculate the fee. Note that txundo == nullptr
// for coinbase transactions and for transactions where undo data is unavailable.
- const bool calculate_fee = txundo != nullptr;
+ const bool have_undo = txundo != nullptr;
CAmount amt_total_in = 0;
CAmount amt_total_out = 0;
@@ -222,9 +205,23 @@ void TxToUniv(const CTransaction& tx, const uint256& hashBlock, UniValue& entry,
}
in.pushKV("txinwitness", txinwitness);
}
- if (calculate_fee) {
- const CTxOut& prev_txout = txundo->vprevout[i].out;
+ if (have_undo) {
+ const Coin& prev_coin = txundo->vprevout[i];
+ const CTxOut& prev_txout = prev_coin.out;
+
amt_total_in += prev_txout.nValue;
+
+ if (verbosity == TxVerbosity::SHOW_DETAILS_AND_PREVOUT) {
+ UniValue o_script_pub_key(UniValue::VOBJ);
+ ScriptPubKeyToUniv(prev_txout.scriptPubKey, o_script_pub_key, /*include_hex=*/ true);
+
+ UniValue p(UniValue::VOBJ);
+ p.pushKV("generated", bool(prev_coin.fCoinBase));
+ p.pushKV("height", uint64_t(prev_coin.nHeight));
+ p.pushKV("value", ValueFromAmount(prev_txout.nValue));
+ p.pushKV("scriptPubKey", o_script_pub_key);
+ in.pushKV("prevout", p);
+ }
}
in.pushKV("sequence", (int64_t)txin.nSequence);
vin.push_back(in);
@@ -245,13 +242,13 @@ void TxToUniv(const CTransaction& tx, const uint256& hashBlock, UniValue& entry,
out.pushKV("scriptPubKey", o);
vout.push_back(out);
- if (calculate_fee) {
+ if (have_undo) {
amt_total_out += txout.nValue;
}
}
entry.pushKV("vout", vout);
- if (calculate_fee) {
+ if (have_undo) {
const CAmount fee = amt_total_in - amt_total_out;
CHECK_NONFATAL(MoneyRange(fee));
entry.pushKV("fee", ValueFromAmount(fee));
diff --git a/src/crc32c/.travis.yml b/src/crc32c/.travis.yml
index d990a89f07..183a5fba45 100644
--- a/src/crc32c/.travis.yml
+++ b/src/crc32c/.travis.yml
@@ -4,7 +4,7 @@
language: cpp
dist: bionic
-osx_image: xcode10.3
+osx_image: xcode12.5
compiler:
- gcc
@@ -24,20 +24,20 @@ env:
addons:
apt:
sources:
- - sourceline: 'deb http://apt.llvm.org/bionic/ llvm-toolchain-bionic-9 main'
+ - sourceline: 'deb http://apt.llvm.org/bionic/ llvm-toolchain-bionic-12 main'
key_url: 'https://apt.llvm.org/llvm-snapshot.gpg.key'
- sourceline: 'ppa:ubuntu-toolchain-r/test'
packages:
- - clang-9
+ - clang-12
- cmake
- - gcc-9
- - g++-9
+ - gcc-11
+ - g++-11
- ninja-build
homebrew:
packages:
- cmake
- - gcc@9
- - llvm@9
+ - gcc@11
+ - llvm@12
- ninja
update: true
@@ -48,14 +48,14 @@ install:
export PATH="$(brew --prefix llvm)/bin:$PATH";
fi
# /usr/bin/gcc points to an older compiler on both Linux and macOS.
-- if [ "$CXX" = "g++" ]; then export CXX="g++-9" CC="gcc-9"; fi
+- if [ "$CXX" = "g++" ]; then export CXX="g++-11" CC="gcc-11"; fi
# /usr/bin/clang points to an older compiler on both Linux and macOS.
#
# Homebrew's llvm package doesn't ship a versioned clang++ binary, so the values
# below don't work on macOS. Fortunately, the path change above makes the
# default values (clang and clang++) resolve to the correct compiler on macOS.
- if [ "$TRAVIS_OS_NAME" = "linux" ]; then
- if [ "$CXX" = "clang++" ]; then export CXX="clang++-9" CC="clang-9"; fi;
+ if [ "$CXX" = "clang++" ]; then export CXX="clang++-12" CC="clang-12"; fi;
fi
- echo ${CC}
- echo ${CXX}
diff --git a/src/crc32c/.ycm_extra_conf.py b/src/crc32c/.ycm_extra_conf.py
index 536aadcec8..62daa8a4ac 100644
--- a/src/crc32c/.ycm_extra_conf.py
+++ b/src/crc32c/.ycm_extra_conf.py
@@ -4,10 +4,10 @@
"""YouCompleteMe configuration that interprets a .clang_complete file.
This module implementes the YouCompleteMe configuration API documented at:
-https://github.com/Valloric/ycmd#ycm_extra_confpy-specification
+https://github.com/ycm-core/ycmd#ycm_extra_confpy-specification
The implementation loads and processes a .clang_complete file, documented at:
-https://github.com/Rip-Rip/clang_complete/blob/master/README.md
+https://github.com/xavierd/clang_complete/blob/master/README.md
"""
import os
diff --git a/src/crc32c/README.md b/src/crc32c/README.md
index 0bd69f7f09..58ba38e611 100644
--- a/src/crc32c/README.md
+++ b/src/crc32c/README.md
@@ -65,7 +65,7 @@ apm install autocomplete-clang build build-cmake clang-format language-cmake \
If you don't mind more setup in return for more speed, replace
`autocomplete-clang` and `linter-clang` with `you-complete-me`. This requires
-[setting up ycmd](https://github.com/Valloric/ycmd#building).
+[setting up ycmd](https://github.com/ycm-core/ycmd#building).
```bash
apm install autocomplete-plus build build-cmake clang-format language-cmake \
diff --git a/src/crc32c/src/crc32c_arm64_check.h b/src/crc32c/src/crc32c_arm64_check.h
index 62a07aba09..6b80f70037 100644
--- a/src/crc32c/src/crc32c_arm64_check.h
+++ b/src/crc32c/src/crc32c_arm64_check.h
@@ -40,7 +40,15 @@ inline bool CanUseArm64Crc32() {
// From 'arch/arm64/include/uapi/asm/hwcap.h' in Linux kernel source code.
constexpr unsigned long kHWCAP_PMULL = 1 << 4;
constexpr unsigned long kHWCAP_CRC32 = 1 << 7;
- unsigned long hwcap = (&getauxval != nullptr) ? getauxval(AT_HWCAP) : 0;
+ unsigned long hwcap =
+#if HAVE_STRONG_GETAUXVAL
+ // Some compilers warn on (&getauxval != nullptr) in the block below.
+ getauxval(AT_HWCAP);
+#elif HAVE_WEAK_GETAUXVAL
+ (&getauxval != nullptr) ? getauxval(AT_HWCAP) : 0;
+#else
+#error This is supposed to be nested inside a check for HAVE_*_GETAUXVAL.
+#endif // HAVE_STRONG_GETAUXVAL
return (hwcap & (kHWCAP_PMULL | kHWCAP_CRC32)) ==
(kHWCAP_PMULL | kHWCAP_CRC32);
#elif defined(__APPLE__)
diff --git a/src/crypto/chacha_poly_aead.cpp b/src/crypto/chacha_poly_aead.cpp
index 0582a60c4f..4f3e6f7fa3 100644
--- a/src/crypto/chacha_poly_aead.cpp
+++ b/src/crypto/chacha_poly_aead.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -31,8 +31,9 @@ ChaCha20Poly1305AEAD::ChaCha20Poly1305AEAD(const unsigned char* K_1, size_t K_1_
{
assert(K_1_len == CHACHA20_POLY1305_AEAD_KEY_LEN);
assert(K_2_len == CHACHA20_POLY1305_AEAD_KEY_LEN);
- m_chacha_main.SetKey(K_1, CHACHA20_POLY1305_AEAD_KEY_LEN);
- m_chacha_header.SetKey(K_2, CHACHA20_POLY1305_AEAD_KEY_LEN);
+
+ m_chacha_header.SetKey(K_1, CHACHA20_POLY1305_AEAD_KEY_LEN);
+ m_chacha_main.SetKey(K_2, CHACHA20_POLY1305_AEAD_KEY_LEN);
// set the cached sequence number to uint64 max which hints for an unset cache.
// we can't hit uint64 max since the rekey rule (which resets the sequence number) is 1GB
@@ -72,7 +73,7 @@ bool ChaCha20Poly1305AEAD::Crypt(uint64_t seqnr_payload, uint64_t seqnr_aad, int
return false;
}
memory_cleanse(expected_tag, sizeof(expected_tag));
- // MAC has been successfully verified, make sure we don't covert it in decryption
+ // MAC has been successfully verified, make sure we don't convert it in decryption
src_len -= POLY1305_TAGLEN;
}
diff --git a/src/crypto/chacha_poly_aead.h b/src/crypto/chacha_poly_aead.h
index 0afe8fcc14..5d57b5a5e2 100644
--- a/src/crypto/chacha_poly_aead.h
+++ b/src/crypto/chacha_poly_aead.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -117,8 +117,8 @@ static constexpr int AAD_PACKAGES_PER_ROUND = 21; /* 64 / 3 round down*/
class ChaCha20Poly1305AEAD
{
private:
- ChaCha20 m_chacha_main; // payload and poly1305 key-derivation cipher instance
- ChaCha20 m_chacha_header; // AAD cipher instance (encrypted length)
+ ChaCha20 m_chacha_header; // AAD cipher instance (encrypted length) and poly1305 key-derivation cipher instance
+ ChaCha20 m_chacha_main; // payload
unsigned char m_aad_keystream_buffer[CHACHA20_ROUND_OUTPUT]; // aad keystream cache
uint64_t m_cached_aad_seqnr; // aad keystream cache hint
diff --git a/src/crypto/muhash.cpp b/src/crypto/muhash.cpp
index e5a0d4cb9c..57ed357645 100644
--- a/src/crypto/muhash.cpp
+++ b/src/crypto/muhash.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -341,6 +341,6 @@ MuHash3072& MuHash3072::Insert(Span<const unsigned char> in) noexcept {
}
MuHash3072& MuHash3072::Remove(Span<const unsigned char> in) noexcept {
- m_numerator.Divide(ToNum3072(in));
+ m_denominator.Multiply(ToNum3072(in));
return *this;
}
diff --git a/src/crypto/muhash.h b/src/crypto/muhash.h
index c023a8b9d3..53c5a91a03 100644
--- a/src/crypto/muhash.h
+++ b/src/crypto/muhash.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -24,7 +24,7 @@ private:
public:
static constexpr size_t BYTE_SIZE = 384;
-#ifdef HAVE___INT128
+#ifdef __SIZEOF_INT128__
typedef unsigned __int128 double_limb_t;
typedef uint64_t limb_t;
static constexpr int LIMBS = 48;
diff --git a/src/crypto/sha256.cpp b/src/crypto/sha256.cpp
index e35d526d35..cde543e68c 100644
--- a/src/crypto/sha256.cpp
+++ b/src/crypto/sha256.cpp
@@ -10,6 +10,16 @@
#include <compat/cpuid.h>
+#if defined(__linux__) && defined(ENABLE_ARM_SHANI) && !defined(BUILD_BITCOIN_INTERNAL)
+#include <sys/auxv.h>
+#include <asm/hwcap.h>
+#endif
+
+#if defined(MAC_OSX) && defined(ENABLE_ARM_SHANI) && !defined(BUILD_BITCOIN_INTERNAL)
+#include <sys/types.h>
+#include <sys/sysctl.h>
+#endif
+
#if defined(__x86_64__) || defined(__amd64__) || defined(__i386__)
#if defined(USE_ASM)
namespace sha256_sse4
@@ -29,16 +39,26 @@ namespace sha256d64_avx2
void Transform_8way(unsigned char* out, const unsigned char* in);
}
-namespace sha256d64_shani
+namespace sha256d64_x86_shani
{
void Transform_2way(unsigned char* out, const unsigned char* in);
}
-namespace sha256_shani
+namespace sha256_x86_shani
{
void Transform(uint32_t* s, const unsigned char* chunk, size_t blocks);
}
+namespace sha256_arm_shani
+{
+void Transform(uint32_t* s, const unsigned char* chunk, size_t blocks);
+}
+
+namespace sha256d64_arm_shani
+{
+void Transform_2way(unsigned char* out, const unsigned char* in);
+}
+
// Internal implementation code.
namespace
{
@@ -567,7 +587,7 @@ std::string SHA256AutoDetect()
bool have_xsave = false;
bool have_avx = false;
bool have_avx2 = false;
- bool have_shani = false;
+ bool have_x86_shani = false;
bool enabled_avx = false;
(void)AVXEnabled;
@@ -575,7 +595,7 @@ std::string SHA256AutoDetect()
(void)have_avx;
(void)have_xsave;
(void)have_avx2;
- (void)have_shani;
+ (void)have_x86_shani;
(void)enabled_avx;
uint32_t eax, ebx, ecx, edx;
@@ -589,15 +609,15 @@ std::string SHA256AutoDetect()
if (have_sse4) {
GetCPUID(7, 0, eax, ebx, ecx, edx);
have_avx2 = (ebx >> 5) & 1;
- have_shani = (ebx >> 29) & 1;
+ have_x86_shani = (ebx >> 29) & 1;
}
-#if defined(ENABLE_SHANI) && !defined(BUILD_BITCOIN_INTERNAL)
- if (have_shani) {
- Transform = sha256_shani::Transform;
- TransformD64 = TransformD64Wrapper<sha256_shani::Transform>;
- TransformD64_2way = sha256d64_shani::Transform_2way;
- ret = "shani(1way,2way)";
+#if defined(ENABLE_X86_SHANI) && !defined(BUILD_BITCOIN_INTERNAL)
+ if (have_x86_shani) {
+ Transform = sha256_x86_shani::Transform;
+ TransformD64 = TransformD64Wrapper<sha256_x86_shani::Transform>;
+ TransformD64_2way = sha256d64_x86_shani::Transform_2way;
+ ret = "x86_shani(1way,2way)";
have_sse4 = false; // Disable SSE4/AVX2;
have_avx2 = false;
}
@@ -623,6 +643,38 @@ std::string SHA256AutoDetect()
#endif
#endif
+#if defined(ENABLE_ARM_SHANI) && !defined(BUILD_BITCOIN_INTERNAL)
+ bool have_arm_shani = false;
+
+#if defined(__linux__)
+#if defined(__arm__) // 32-bit
+ if (getauxval(AT_HWCAP2) & HWCAP2_SHA2) {
+ have_arm_shani = true;
+ }
+#endif
+#if defined(__aarch64__) // 64-bit
+ if (getauxval(AT_HWCAP) & HWCAP_SHA2) {
+ have_arm_shani = true;
+ }
+#endif
+#endif
+
+#if defined(MAC_OSX)
+ int val = 0;
+ size_t len = sizeof(val);
+ if (sysctlbyname("hw.optional.arm.FEAT_SHA256", &val, &len, nullptr, 0) == 0) {
+ have_arm_shani = val != 0;
+ }
+#endif
+
+ if (have_arm_shani) {
+ Transform = sha256_arm_shani::Transform;
+ TransformD64 = TransformD64Wrapper<sha256_arm_shani::Transform>;
+ TransformD64_2way = sha256d64_arm_shani::Transform_2way;
+ ret = "arm_shani(1way,2way)";
+ }
+#endif
+
assert(SelfTest());
return ret;
}
diff --git a/src/crypto/sha256_arm_shani.cpp b/src/crypto/sha256_arm_shani.cpp
new file mode 100644
index 0000000000..2ea1d9c2ac
--- /dev/null
+++ b/src/crypto/sha256_arm_shani.cpp
@@ -0,0 +1,899 @@
+// Copyright (c) 2022 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+//
+// Based on https://github.com/noloader/SHA-Intrinsics/blob/master/sha256-arm.c,
+// Written and placed in public domain by Jeffrey Walton.
+// Based on code from ARM, and by Johannes Schneiders, Skip Hovsmith and
+// Barry O'Rourke for the mbedTLS project.
+// Variant specialized for 64-byte inputs added by Pieter Wuille.
+
+#ifdef ENABLE_ARM_SHANI
+
+#include <array>
+#include <cstdint>
+#include <cstddef>
+#include <arm_acle.h>
+#include <arm_neon.h>
+
+namespace {
+alignas(uint32x4_t) static constexpr std::array<uint32_t, 64> K =
+{
+ 0x428A2F98, 0x71374491, 0xB5C0FBCF, 0xE9B5DBA5,
+ 0x3956C25B, 0x59F111F1, 0x923F82A4, 0xAB1C5ED5,
+ 0xD807AA98, 0x12835B01, 0x243185BE, 0x550C7DC3,
+ 0x72BE5D74, 0x80DEB1FE, 0x9BDC06A7, 0xC19BF174,
+ 0xE49B69C1, 0xEFBE4786, 0x0FC19DC6, 0x240CA1CC,
+ 0x2DE92C6F, 0x4A7484AA, 0x5CB0A9DC, 0x76F988DA,
+ 0x983E5152, 0xA831C66D, 0xB00327C8, 0xBF597FC7,
+ 0xC6E00BF3, 0xD5A79147, 0x06CA6351, 0x14292967,
+ 0x27B70A85, 0x2E1B2138, 0x4D2C6DFC, 0x53380D13,
+ 0x650A7354, 0x766A0ABB, 0x81C2C92E, 0x92722C85,
+ 0xA2BFE8A1, 0xA81A664B, 0xC24B8B70, 0xC76C51A3,
+ 0xD192E819, 0xD6990624, 0xF40E3585, 0x106AA070,
+ 0x19A4C116, 0x1E376C08, 0x2748774C, 0x34B0BCB5,
+ 0x391C0CB3, 0x4ED8AA4A, 0x5B9CCA4F, 0x682E6FF3,
+ 0x748F82EE, 0x78A5636F, 0x84C87814, 0x8CC70208,
+ 0x90BEFFFA, 0xA4506CEB, 0xBEF9A3F7, 0xC67178F2,
+};
+}
+
+namespace sha256_arm_shani {
+void Transform(uint32_t* s, const unsigned char* chunk, size_t blocks)
+{
+ uint32x4_t STATE0, STATE1, ABEF_SAVE, CDGH_SAVE;
+ uint32x4_t MSG0, MSG1, MSG2, MSG3;
+ uint32x4_t TMP0, TMP2;
+
+ // Load state
+ STATE0 = vld1q_u32(&s[0]);
+ STATE1 = vld1q_u32(&s[4]);
+
+ while (blocks--)
+ {
+ // Save state
+ ABEF_SAVE = STATE0;
+ CDGH_SAVE = STATE1;
+
+ // Load and convert input chunk to Big Endian
+ MSG0 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(chunk + 0)));
+ MSG1 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(chunk + 16)));
+ MSG2 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(chunk + 32)));
+ MSG3 = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(chunk + 48)));
+ chunk += 64;
+
+ // Original implementation preloaded message and constant addition which was 1-3% slower.
+ // Now included as first step in quad round code saving one Q Neon register
+ // "TMP0 = vaddq_u32(MSG0, vld1q_u32(&K[0]));"
+
+ // Rounds 1-4
+ TMP0 = vaddq_u32(MSG0, vld1q_u32(&K[0]));
+ TMP2 = STATE0;
+ MSG0 = vsha256su0q_u32(MSG0, MSG1);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG0 = vsha256su1q_u32(MSG0, MSG2, MSG3);
+
+ // Rounds 5-8
+ TMP0 = vaddq_u32(MSG1, vld1q_u32(&K[4]));
+ TMP2 = STATE0;
+ MSG1 = vsha256su0q_u32(MSG1, MSG2);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG1 = vsha256su1q_u32(MSG1, MSG3, MSG0);
+
+ // Rounds 9-12
+ TMP0 = vaddq_u32(MSG2, vld1q_u32(&K[8]));
+ TMP2 = STATE0;
+ MSG2 = vsha256su0q_u32(MSG2, MSG3);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG2 = vsha256su1q_u32(MSG2, MSG0, MSG1);
+
+ // Rounds 13-16
+ TMP0 = vaddq_u32(MSG3, vld1q_u32(&K[12]));
+ TMP2 = STATE0;
+ MSG3 = vsha256su0q_u32(MSG3, MSG0);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG3 = vsha256su1q_u32(MSG3, MSG1, MSG2);
+
+ // Rounds 17-20
+ TMP0 = vaddq_u32(MSG0, vld1q_u32(&K[16]));
+ TMP2 = STATE0;
+ MSG0 = vsha256su0q_u32(MSG0, MSG1);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG0 = vsha256su1q_u32(MSG0, MSG2, MSG3);
+
+ // Rounds 21-24
+ TMP0 = vaddq_u32(MSG1, vld1q_u32(&K[20]));
+ TMP2 = STATE0;
+ MSG1 = vsha256su0q_u32(MSG1, MSG2);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG1 = vsha256su1q_u32(MSG1, MSG3, MSG0);
+
+ // Rounds 25-28
+ TMP0 = vaddq_u32(MSG2, vld1q_u32(&K[24]));
+ TMP2 = STATE0;
+ MSG2 = vsha256su0q_u32(MSG2, MSG3);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG2 = vsha256su1q_u32(MSG2, MSG0, MSG1);
+
+ // Rounds 29-32
+ TMP0 = vaddq_u32(MSG3, vld1q_u32(&K[28]));
+ TMP2 = STATE0;
+ MSG3 = vsha256su0q_u32(MSG3, MSG0);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG3 = vsha256su1q_u32(MSG3, MSG1, MSG2);
+
+ // Rounds 33-36
+ TMP0 = vaddq_u32(MSG0, vld1q_u32(&K[32]));
+ TMP2 = STATE0;
+ MSG0 = vsha256su0q_u32(MSG0, MSG1);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG0 = vsha256su1q_u32(MSG0, MSG2, MSG3);
+
+ // Rounds 37-40
+ TMP0 = vaddq_u32(MSG1, vld1q_u32(&K[36]));
+ TMP2 = STATE0;
+ MSG1 = vsha256su0q_u32(MSG1, MSG2);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG1 = vsha256su1q_u32(MSG1, MSG3, MSG0);
+
+ // Rounds 41-44
+ TMP0 = vaddq_u32(MSG2, vld1q_u32(&K[40]));
+ TMP2 = STATE0;
+ MSG2 = vsha256su0q_u32(MSG2, MSG3);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG2 = vsha256su1q_u32(MSG2, MSG0, MSG1);
+
+ // Rounds 45-48
+ TMP0 = vaddq_u32(MSG3, vld1q_u32(&K[44]));
+ TMP2 = STATE0;
+ MSG3 = vsha256su0q_u32(MSG3, MSG0);
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+ MSG3 = vsha256su1q_u32(MSG3, MSG1, MSG2);
+
+ // Rounds 49-52
+ TMP0 = vaddq_u32(MSG0, vld1q_u32(&K[48]));
+ TMP2 = STATE0;
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+
+ // Rounds 53-56
+ TMP0 = vaddq_u32(MSG1, vld1q_u32(&K[52]));
+ TMP2 = STATE0;
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+
+ // Rounds 57-60
+ TMP0 = vaddq_u32(MSG2, vld1q_u32(&K[56]));
+ TMP2 = STATE0;
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+
+ // Rounds 61-64
+ TMP0 = vaddq_u32(MSG3, vld1q_u32(&K[60]));
+ TMP2 = STATE0;
+ STATE0 = vsha256hq_u32(STATE0, STATE1, TMP0);
+ STATE1 = vsha256h2q_u32(STATE1, TMP2, TMP0);
+
+ // Update state
+ STATE0 = vaddq_u32(STATE0, ABEF_SAVE);
+ STATE1 = vaddq_u32(STATE1, CDGH_SAVE);
+ }
+
+ // Save final state
+ vst1q_u32(&s[0], STATE0);
+ vst1q_u32(&s[4], STATE1);
+}
+}
+
+namespace sha256d64_arm_shani {
+void Transform_2way(unsigned char* output, const unsigned char* input)
+{
+ /* Initial state. */
+ alignas(uint32x4_t) static constexpr std::array<uint32_t, 8> INIT = {
+ 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a,
+ 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19
+ };
+
+ /* Precomputed message schedule for the 2nd transform. */
+ alignas(uint32x4_t) static constexpr std::array<uint32_t, 64> MIDS = {
+ 0xc28a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5,
+ 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
+ 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3,
+ 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf374,
+ 0x649b69c1, 0xf0fe4786, 0x0fe1edc6, 0x240cf254,
+ 0x4fe9346f, 0x6cc984be, 0x61b9411e, 0x16f988fa,
+ 0xf2c65152, 0xa88e5a6d, 0xb019fc65, 0xb9d99ec7,
+ 0x9a1231c3, 0xe70eeaa0, 0xfdb1232b, 0xc7353eb0,
+ 0x3069bad5, 0xcb976d5f, 0x5a0f118f, 0xdc1eeefd,
+ 0x0a35b689, 0xde0b7a04, 0x58f4ca9d, 0xe15d5b16,
+ 0x007f3e86, 0x37088980, 0xa507ea32, 0x6fab9537,
+ 0x17406110, 0x0d8cd6f1, 0xcdaa3b6d, 0xc0bbbe37,
+ 0x83613bda, 0xdb48a363, 0x0b02e931, 0x6fd15ca7,
+ 0x521afaca, 0x31338431, 0x6ed41a95, 0x6d437890,
+ 0xc39c91f2, 0x9eccabbd, 0xb5c9a0e6, 0x532fb63c,
+ 0xd2c741c6, 0x07237ea3, 0xa4954b68, 0x4c191d76
+ };
+
+ /* A few precomputed message schedule values for the 3rd transform. */
+ alignas(uint32x4_t) static constexpr std::array<uint32_t, 12> FINS = {
+ 0x5807aa98, 0x12835b01, 0x243185be, 0x550c7dc3,
+ 0x80000000, 0x00000000, 0x00000000, 0x00000000,
+ 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf274
+ };
+
+ /* Padding processed in the 3rd transform (byteswapped). */
+ alignas(uint32x4_t) static constexpr std::array<uint32_t, 8> FINAL = {0x80000000, 0, 0, 0, 0, 0, 0, 0x100};
+
+ uint32x4_t STATE0A, STATE0B, STATE1A, STATE1B, ABEF_SAVEA, ABEF_SAVEB, CDGH_SAVEA, CDGH_SAVEB;
+ uint32x4_t MSG0A, MSG0B, MSG1A, MSG1B, MSG2A, MSG2B, MSG3A, MSG3B;
+ uint32x4_t TMP0A, TMP0B, TMP2A, TMP2B, TMP;
+
+ // Transform 1: Load state
+ STATE0A = vld1q_u32(&INIT[0]);
+ STATE0B = STATE0A;
+ STATE1A = vld1q_u32(&INIT[4]);
+ STATE1B = STATE1A;
+
+ // Transform 1: Load and convert input chunk to Big Endian
+ MSG0A = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 0)));
+ MSG1A = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 16)));
+ MSG2A = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 32)));
+ MSG3A = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 48)));
+ MSG0B = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 64)));
+ MSG1B = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 80)));
+ MSG2B = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 96)));
+ MSG3B = vreinterpretq_u32_u8(vrev32q_u8(vld1q_u8(input + 112)));
+
+ // Transform 1: Rounds 1-4
+ TMP = vld1q_u32(&K[0]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG0A = vsha256su0q_u32(MSG0A, MSG1A);
+ MSG0B = vsha256su0q_u32(MSG0B, MSG1B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG0A = vsha256su1q_u32(MSG0A, MSG2A, MSG3A);
+ MSG0B = vsha256su1q_u32(MSG0B, MSG2B, MSG3B);
+
+ // Transform 1: Rounds 5-8
+ TMP = vld1q_u32(&K[4]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG1A = vsha256su0q_u32(MSG1A, MSG2A);
+ MSG1B = vsha256su0q_u32(MSG1B, MSG2B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG1A = vsha256su1q_u32(MSG1A, MSG3A, MSG0A);
+ MSG1B = vsha256su1q_u32(MSG1B, MSG3B, MSG0B);
+
+ // Transform 1: Rounds 9-12
+ TMP = vld1q_u32(&K[8]);
+ TMP0A = vaddq_u32(MSG2A, TMP);
+ TMP0B = vaddq_u32(MSG2B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG2A = vsha256su0q_u32(MSG2A, MSG3A);
+ MSG2B = vsha256su0q_u32(MSG2B, MSG3B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG2A = vsha256su1q_u32(MSG2A, MSG0A, MSG1A);
+ MSG2B = vsha256su1q_u32(MSG2B, MSG0B, MSG1B);
+
+ // Transform 1: Rounds 13-16
+ TMP = vld1q_u32(&K[12]);
+ TMP0A = vaddq_u32(MSG3A, TMP);
+ TMP0B = vaddq_u32(MSG3B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG3A = vsha256su0q_u32(MSG3A, MSG0A);
+ MSG3B = vsha256su0q_u32(MSG3B, MSG0B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG3A = vsha256su1q_u32(MSG3A, MSG1A, MSG2A);
+ MSG3B = vsha256su1q_u32(MSG3B, MSG1B, MSG2B);
+
+ // Transform 1: Rounds 17-20
+ TMP = vld1q_u32(&K[16]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG0A = vsha256su0q_u32(MSG0A, MSG1A);
+ MSG0B = vsha256su0q_u32(MSG0B, MSG1B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG0A = vsha256su1q_u32(MSG0A, MSG2A, MSG3A);
+ MSG0B = vsha256su1q_u32(MSG0B, MSG2B, MSG3B);
+
+ // Transform 1: Rounds 21-24
+ TMP = vld1q_u32(&K[20]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG1A = vsha256su0q_u32(MSG1A, MSG2A);
+ MSG1B = vsha256su0q_u32(MSG1B, MSG2B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG1A = vsha256su1q_u32(MSG1A, MSG3A, MSG0A);
+ MSG1B = vsha256su1q_u32(MSG1B, MSG3B, MSG0B);
+
+ // Transform 1: Rounds 25-28
+ TMP = vld1q_u32(&K[24]);
+ TMP0A = vaddq_u32(MSG2A, TMP);
+ TMP0B = vaddq_u32(MSG2B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG2A = vsha256su0q_u32(MSG2A, MSG3A);
+ MSG2B = vsha256su0q_u32(MSG2B, MSG3B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG2A = vsha256su1q_u32(MSG2A, MSG0A, MSG1A);
+ MSG2B = vsha256su1q_u32(MSG2B, MSG0B, MSG1B);
+
+ // Transform 1: Rounds 29-32
+ TMP = vld1q_u32(&K[28]);
+ TMP0A = vaddq_u32(MSG3A, TMP);
+ TMP0B = vaddq_u32(MSG3B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG3A = vsha256su0q_u32(MSG3A, MSG0A);
+ MSG3B = vsha256su0q_u32(MSG3B, MSG0B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG3A = vsha256su1q_u32(MSG3A, MSG1A, MSG2A);
+ MSG3B = vsha256su1q_u32(MSG3B, MSG1B, MSG2B);
+
+ // Transform 1: Rounds 33-36
+ TMP = vld1q_u32(&K[32]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG0A = vsha256su0q_u32(MSG0A, MSG1A);
+ MSG0B = vsha256su0q_u32(MSG0B, MSG1B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG0A = vsha256su1q_u32(MSG0A, MSG2A, MSG3A);
+ MSG0B = vsha256su1q_u32(MSG0B, MSG2B, MSG3B);
+
+ // Transform 1: Rounds 37-40
+ TMP = vld1q_u32(&K[36]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG1A = vsha256su0q_u32(MSG1A, MSG2A);
+ MSG1B = vsha256su0q_u32(MSG1B, MSG2B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG1A = vsha256su1q_u32(MSG1A, MSG3A, MSG0A);
+ MSG1B = vsha256su1q_u32(MSG1B, MSG3B, MSG0B);
+
+ // Transform 1: Rounds 41-44
+ TMP = vld1q_u32(&K[40]);
+ TMP0A = vaddq_u32(MSG2A, TMP);
+ TMP0B = vaddq_u32(MSG2B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG2A = vsha256su0q_u32(MSG2A, MSG3A);
+ MSG2B = vsha256su0q_u32(MSG2B, MSG3B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG2A = vsha256su1q_u32(MSG2A, MSG0A, MSG1A);
+ MSG2B = vsha256su1q_u32(MSG2B, MSG0B, MSG1B);
+
+ // Transform 1: Rounds 45-48
+ TMP = vld1q_u32(&K[44]);
+ TMP0A = vaddq_u32(MSG3A, TMP);
+ TMP0B = vaddq_u32(MSG3B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG3A = vsha256su0q_u32(MSG3A, MSG0A);
+ MSG3B = vsha256su0q_u32(MSG3B, MSG0B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG3A = vsha256su1q_u32(MSG3A, MSG1A, MSG2A);
+ MSG3B = vsha256su1q_u32(MSG3B, MSG1B, MSG2B);
+
+ // Transform 1: Rounds 49-52
+ TMP = vld1q_u32(&K[48]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 1: Rounds 53-56
+ TMP = vld1q_u32(&K[52]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 1: Rounds 57-60
+ TMP = vld1q_u32(&K[56]);
+ TMP0A = vaddq_u32(MSG2A, TMP);
+ TMP0B = vaddq_u32(MSG2B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 1: Rounds 61-64
+ TMP = vld1q_u32(&K[60]);
+ TMP0A = vaddq_u32(MSG3A, TMP);
+ TMP0B = vaddq_u32(MSG3B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 1: Update state
+ TMP = vld1q_u32(&INIT[0]);
+ STATE0A = vaddq_u32(STATE0A, TMP);
+ STATE0B = vaddq_u32(STATE0B, TMP);
+ TMP = vld1q_u32(&INIT[4]);
+ STATE1A = vaddq_u32(STATE1A, TMP);
+ STATE1B = vaddq_u32(STATE1B, TMP);
+
+ // Transform 2: Save state
+ ABEF_SAVEA = STATE0A;
+ ABEF_SAVEB = STATE0B;
+ CDGH_SAVEA = STATE1A;
+ CDGH_SAVEB = STATE1B;
+
+ // Transform 2: Rounds 1-4
+ TMP = vld1q_u32(&MIDS[0]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 5-8
+ TMP = vld1q_u32(&MIDS[4]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 9-12
+ TMP = vld1q_u32(&MIDS[8]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 13-16
+ TMP = vld1q_u32(&MIDS[12]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 17-20
+ TMP = vld1q_u32(&MIDS[16]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 21-24
+ TMP = vld1q_u32(&MIDS[20]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 25-28
+ TMP = vld1q_u32(&MIDS[24]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 29-32
+ TMP = vld1q_u32(&MIDS[28]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 33-36
+ TMP = vld1q_u32(&MIDS[32]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 37-40
+ TMP = vld1q_u32(&MIDS[36]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 41-44
+ TMP = vld1q_u32(&MIDS[40]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 45-48
+ TMP = vld1q_u32(&MIDS[44]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 49-52
+ TMP = vld1q_u32(&MIDS[48]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 53-56
+ TMP = vld1q_u32(&MIDS[52]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 57-60
+ TMP = vld1q_u32(&MIDS[56]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Rounds 61-64
+ TMP = vld1q_u32(&MIDS[60]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+
+ // Transform 2: Update state
+ STATE0A = vaddq_u32(STATE0A, ABEF_SAVEA);
+ STATE0B = vaddq_u32(STATE0B, ABEF_SAVEB);
+ STATE1A = vaddq_u32(STATE1A, CDGH_SAVEA);
+ STATE1B = vaddq_u32(STATE1B, CDGH_SAVEB);
+
+ // Transform 3: Pad previous output
+ MSG0A = STATE0A;
+ MSG0B = STATE0B;
+ MSG1A = STATE1A;
+ MSG1B = STATE1B;
+ MSG2A = vld1q_u32(&FINAL[0]);
+ MSG2B = MSG2A;
+ MSG3A = vld1q_u32(&FINAL[4]);
+ MSG3B = MSG3A;
+
+ // Transform 3: Load state
+ STATE0A = vld1q_u32(&INIT[0]);
+ STATE0B = STATE0A;
+ STATE1A = vld1q_u32(&INIT[4]);
+ STATE1B = STATE1A;
+
+ // Transform 3: Rounds 1-4
+ TMP = vld1q_u32(&K[0]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG0A = vsha256su0q_u32(MSG0A, MSG1A);
+ MSG0B = vsha256su0q_u32(MSG0B, MSG1B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG0A = vsha256su1q_u32(MSG0A, MSG2A, MSG3A);
+ MSG0B = vsha256su1q_u32(MSG0B, MSG2B, MSG3B);
+
+ // Transform 3: Rounds 5-8
+ TMP = vld1q_u32(&K[4]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG1A = vsha256su0q_u32(MSG1A, MSG2A);
+ MSG1B = vsha256su0q_u32(MSG1B, MSG2B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG1A = vsha256su1q_u32(MSG1A, MSG3A, MSG0A);
+ MSG1B = vsha256su1q_u32(MSG1B, MSG3B, MSG0B);
+
+ // Transform 3: Rounds 9-12
+ TMP = vld1q_u32(&FINS[0]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG2A = vld1q_u32(&FINS[4]);
+ MSG2B = MSG2A;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+ MSG2A = vsha256su1q_u32(MSG2A, MSG0A, MSG1A);
+ MSG2B = vsha256su1q_u32(MSG2B, MSG0B, MSG1B);
+
+ // Transform 3: Rounds 13-16
+ TMP = vld1q_u32(&FINS[8]);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG3A = vsha256su0q_u32(MSG3A, MSG0A);
+ MSG3B = vsha256su0q_u32(MSG3B, MSG0B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP);
+ MSG3A = vsha256su1q_u32(MSG3A, MSG1A, MSG2A);
+ MSG3B = vsha256su1q_u32(MSG3B, MSG1B, MSG2B);
+
+ // Transform 3: Rounds 17-20
+ TMP = vld1q_u32(&K[16]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG0A = vsha256su0q_u32(MSG0A, MSG1A);
+ MSG0B = vsha256su0q_u32(MSG0B, MSG1B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG0A = vsha256su1q_u32(MSG0A, MSG2A, MSG3A);
+ MSG0B = vsha256su1q_u32(MSG0B, MSG2B, MSG3B);
+
+ // Transform 3: Rounds 21-24
+ TMP = vld1q_u32(&K[20]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG1A = vsha256su0q_u32(MSG1A, MSG2A);
+ MSG1B = vsha256su0q_u32(MSG1B, MSG2B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG1A = vsha256su1q_u32(MSG1A, MSG3A, MSG0A);
+ MSG1B = vsha256su1q_u32(MSG1B, MSG3B, MSG0B);
+
+ // Transform 3: Rounds 25-28
+ TMP = vld1q_u32(&K[24]);
+ TMP0A = vaddq_u32(MSG2A, TMP);
+ TMP0B = vaddq_u32(MSG2B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG2A = vsha256su0q_u32(MSG2A, MSG3A);
+ MSG2B = vsha256su0q_u32(MSG2B, MSG3B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG2A = vsha256su1q_u32(MSG2A, MSG0A, MSG1A);
+ MSG2B = vsha256su1q_u32(MSG2B, MSG0B, MSG1B);
+
+ // Transform 3: Rounds 29-32
+ TMP = vld1q_u32(&K[28]);
+ TMP0A = vaddq_u32(MSG3A, TMP);
+ TMP0B = vaddq_u32(MSG3B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG3A = vsha256su0q_u32(MSG3A, MSG0A);
+ MSG3B = vsha256su0q_u32(MSG3B, MSG0B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG3A = vsha256su1q_u32(MSG3A, MSG1A, MSG2A);
+ MSG3B = vsha256su1q_u32(MSG3B, MSG1B, MSG2B);
+
+ // Transform 3: Rounds 33-36
+ TMP = vld1q_u32(&K[32]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG0A = vsha256su0q_u32(MSG0A, MSG1A);
+ MSG0B = vsha256su0q_u32(MSG0B, MSG1B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG0A = vsha256su1q_u32(MSG0A, MSG2A, MSG3A);
+ MSG0B = vsha256su1q_u32(MSG0B, MSG2B, MSG3B);
+
+ // Transform 3: Rounds 37-40
+ TMP = vld1q_u32(&K[36]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG1A = vsha256su0q_u32(MSG1A, MSG2A);
+ MSG1B = vsha256su0q_u32(MSG1B, MSG2B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG1A = vsha256su1q_u32(MSG1A, MSG3A, MSG0A);
+ MSG1B = vsha256su1q_u32(MSG1B, MSG3B, MSG0B);
+
+ // Transform 3: Rounds 41-44
+ TMP = vld1q_u32(&K[40]);
+ TMP0A = vaddq_u32(MSG2A, TMP);
+ TMP0B = vaddq_u32(MSG2B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG2A = vsha256su0q_u32(MSG2A, MSG3A);
+ MSG2B = vsha256su0q_u32(MSG2B, MSG3B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG2A = vsha256su1q_u32(MSG2A, MSG0A, MSG1A);
+ MSG2B = vsha256su1q_u32(MSG2B, MSG0B, MSG1B);
+
+ // Transform 3: Rounds 45-48
+ TMP = vld1q_u32(&K[44]);
+ TMP0A = vaddq_u32(MSG3A, TMP);
+ TMP0B = vaddq_u32(MSG3B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ MSG3A = vsha256su0q_u32(MSG3A, MSG0A);
+ MSG3B = vsha256su0q_u32(MSG3B, MSG0B);
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+ MSG3A = vsha256su1q_u32(MSG3A, MSG1A, MSG2A);
+ MSG3B = vsha256su1q_u32(MSG3B, MSG1B, MSG2B);
+
+ // Transform 3: Rounds 49-52
+ TMP = vld1q_u32(&K[48]);
+ TMP0A = vaddq_u32(MSG0A, TMP);
+ TMP0B = vaddq_u32(MSG0B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 3: Rounds 53-56
+ TMP = vld1q_u32(&K[52]);
+ TMP0A = vaddq_u32(MSG1A, TMP);
+ TMP0B = vaddq_u32(MSG1B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 3: Rounds 57-60
+ TMP = vld1q_u32(&K[56]);
+ TMP0A = vaddq_u32(MSG2A, TMP);
+ TMP0B = vaddq_u32(MSG2B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 3: Rounds 61-64
+ TMP = vld1q_u32(&K[60]);
+ TMP0A = vaddq_u32(MSG3A, TMP);
+ TMP0B = vaddq_u32(MSG3B, TMP);
+ TMP2A = STATE0A;
+ TMP2B = STATE0B;
+ STATE0A = vsha256hq_u32(STATE0A, STATE1A, TMP0A);
+ STATE0B = vsha256hq_u32(STATE0B, STATE1B, TMP0B);
+ STATE1A = vsha256h2q_u32(STATE1A, TMP2A, TMP0A);
+ STATE1B = vsha256h2q_u32(STATE1B, TMP2B, TMP0B);
+
+ // Transform 3: Update state
+ TMP = vld1q_u32(&INIT[0]);
+ STATE0A = vaddq_u32(STATE0A, TMP);
+ STATE0B = vaddq_u32(STATE0B, TMP);
+ TMP = vld1q_u32(&INIT[4]);
+ STATE1A = vaddq_u32(STATE1A, TMP);
+ STATE1B = vaddq_u32(STATE1B, TMP);
+
+ // Store result
+ vst1q_u8(output, vrev32q_u8(vreinterpretq_u8_u32(STATE0A)));
+ vst1q_u8(output + 16, vrev32q_u8(vreinterpretq_u8_u32(STATE1A)));
+ vst1q_u8(output + 32, vrev32q_u8(vreinterpretq_u8_u32(STATE0B)));
+ vst1q_u8(output + 48, vrev32q_u8(vreinterpretq_u8_u32(STATE1B)));
+}
+}
+
+#endif
diff --git a/src/crypto/sha256_sse4.cpp b/src/crypto/sha256_sse4.cpp
index 143752c7cf..f1a7fefea3 100644
--- a/src/crypto/sha256_sse4.cpp
+++ b/src/crypto/sha256_sse4.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017 The Bitcoin Core developers
+// Copyright (c) 2017-2020 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
//
diff --git a/src/crypto/sha256_shani.cpp b/src/crypto/sha256_x86_shani.cpp
index 4f4d5b5837..a82802199f 100644
--- a/src/crypto/sha256_shani.cpp
+++ b/src/crypto/sha256_x86_shani.cpp
@@ -6,7 +6,7 @@
// Written and placed in public domain by Jeffrey Walton.
// Based on code from Intel, and by Sean Gulley for the miTLS project.
-#ifdef ENABLE_SHANI
+#ifdef ENABLE_X86_SHANI
#include <stdint.h>
#include <immintrin.h>
@@ -74,7 +74,7 @@ void inline __attribute__((always_inline)) Save(unsigned char* out, __m128i s)
}
}
-namespace sha256_shani {
+namespace sha256_x86_shani {
void Transform(uint32_t* s, const unsigned char* chunk, size_t blocks)
{
__m128i m0, m1, m2, m3, s0, s1, so0, so1;
@@ -139,7 +139,7 @@ void Transform(uint32_t* s, const unsigned char* chunk, size_t blocks)
}
}
-namespace sha256d64_shani {
+namespace sha256d64_x86_shani {
void Transform_2way(unsigned char* out, const unsigned char* in)
{
diff --git a/src/cuckoocache.h b/src/cuckoocache.h
index 1166466771..d0dc61c7e6 100644
--- a/src/cuckoocache.h
+++ b/src/cuckoocache.h
@@ -5,6 +5,8 @@
#ifndef BITCOIN_CUCKOOCACHE_H
#define BITCOIN_CUCKOOCACHE_H
+#include <util/fastrange.h>
+
#include <algorithm> // std::find
#include <array>
#include <atomic>
@@ -89,7 +91,7 @@ public:
*/
inline void bit_set(uint32_t s)
{
- mem[s >> 3].fetch_or(1 << (s & 7), std::memory_order_relaxed);
+ mem[s >> 3].fetch_or(uint8_t(1 << (s & 7)), std::memory_order_relaxed);
}
/** bit_unset marks an entry as something that should not be overwritten.
@@ -100,7 +102,7 @@ public:
*/
inline void bit_unset(uint32_t s)
{
- mem[s >> 3].fetch_and(~(1 << (s & 7)), std::memory_order_relaxed);
+ mem[s >> 3].fetch_and(uint8_t(~(1 << (s & 7))), std::memory_order_relaxed);
}
/** bit_is_set queries the table for discardability at `s`.
@@ -219,13 +221,8 @@ private:
* One option would be to implement the same trick the compiler uses and compute the
* constants for exact division based on the size, as described in "{N}-bit Unsigned
* Division via {N}-bit Multiply-Add" by Arch D. Robison in 2005. But that code is
- * somewhat complicated and the result is still slower than other options:
- *
- * Instead we treat the 32-bit random number as a Q32 fixed-point number in the range
- * [0, 1) and simply multiply it by the size. Then we just shift the result down by
- * 32-bits to get our bucket number. The result has non-uniformity the same as a
- * mod, but it is much faster to compute. More about this technique can be found at
- * https://lemire.me/blog/2016/06/27/a-fast-alternative-to-the-modulo-reduction/ .
+ * somewhat complicated and the result is still slower than an even simpler option:
+ * see the FastRange32 function in util/fastrange.h.
*
* The resulting non-uniformity is also more equally distributed which would be
* advantageous for something like linear probing, though it shouldn't matter
@@ -241,14 +238,14 @@ private:
*/
inline std::array<uint32_t, 8> compute_hashes(const Element& e) const
{
- return {{(uint32_t)(((uint64_t)hash_function.template operator()<0>(e) * (uint64_t)size) >> 32),
- (uint32_t)(((uint64_t)hash_function.template operator()<1>(e) * (uint64_t)size) >> 32),
- (uint32_t)(((uint64_t)hash_function.template operator()<2>(e) * (uint64_t)size) >> 32),
- (uint32_t)(((uint64_t)hash_function.template operator()<3>(e) * (uint64_t)size) >> 32),
- (uint32_t)(((uint64_t)hash_function.template operator()<4>(e) * (uint64_t)size) >> 32),
- (uint32_t)(((uint64_t)hash_function.template operator()<5>(e) * (uint64_t)size) >> 32),
- (uint32_t)(((uint64_t)hash_function.template operator()<6>(e) * (uint64_t)size) >> 32),
- (uint32_t)(((uint64_t)hash_function.template operator()<7>(e) * (uint64_t)size) >> 32)}};
+ return {{FastRange32(hash_function.template operator()<0>(e), size),
+ FastRange32(hash_function.template operator()<1>(e), size),
+ FastRange32(hash_function.template operator()<2>(e), size),
+ FastRange32(hash_function.template operator()<3>(e), size),
+ FastRange32(hash_function.template operator()<4>(e), size),
+ FastRange32(hash_function.template operator()<5>(e), size),
+ FastRange32(hash_function.template operator()<6>(e), size),
+ FastRange32(hash_function.template operator()<7>(e), size)}};
}
/** invalid returns a special index that can never be inserted to
diff --git a/src/dbwrapper.cpp b/src/dbwrapper.cpp
index d7694108f5..b0ea80ea1a 100644
--- a/src/dbwrapper.cpp
+++ b/src/dbwrapper.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2019 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -115,7 +115,7 @@ static leveldb::Options GetOptions(size_t nCacheSize)
}
CDBWrapper::CDBWrapper(const fs::path& path, size_t nCacheSize, bool fMemory, bool fWipe, bool obfuscate)
- : m_name{path.stem().string()}
+ : m_name{fs::PathToString(path.stem())}
{
penv = nullptr;
readoptions.verify_checksums = true;
@@ -129,21 +129,25 @@ CDBWrapper::CDBWrapper(const fs::path& path, size_t nCacheSize, bool fMemory, bo
options.env = penv;
} else {
if (fWipe) {
- LogPrintf("Wiping LevelDB in %s\n", path.string());
- leveldb::Status result = leveldb::DestroyDB(path.string(), options);
+ LogPrintf("Wiping LevelDB in %s\n", fs::PathToString(path));
+ leveldb::Status result = leveldb::DestroyDB(fs::PathToString(path), options);
dbwrapper_private::HandleError(result);
}
TryCreateDirectories(path);
- LogPrintf("Opening LevelDB in %s\n", path.string());
+ LogPrintf("Opening LevelDB in %s\n", fs::PathToString(path));
}
- leveldb::Status status = leveldb::DB::Open(options, path.string(), &pdb);
+ // PathToString() return value is safe to pass to leveldb open function,
+ // because on POSIX leveldb passes the byte string directly to ::open(), and
+ // on Windows it converts from UTF-8 to UTF-16 before calling ::CreateFileW
+ // (see env_posix.cc and env_windows.cc).
+ leveldb::Status status = leveldb::DB::Open(options, fs::PathToString(path), &pdb);
dbwrapper_private::HandleError(status);
LogPrintf("Opened LevelDB successfully\n");
if (gArgs.GetBoolArg("-forcecompactdb", false)) {
- LogPrintf("Starting database compaction of %s\n", path.string());
+ LogPrintf("Starting database compaction of %s\n", fs::PathToString(path));
pdb->CompactRange(nullptr, nullptr);
- LogPrintf("Finished database compaction of %s\n", path.string());
+ LogPrintf("Finished database compaction of %s\n", fs::PathToString(path));
}
// The base-case obfuscation key, which is a noop.
@@ -160,10 +164,10 @@ CDBWrapper::CDBWrapper(const fs::path& path, size_t nCacheSize, bool fMemory, bo
Write(OBFUSCATE_KEY_KEY, new_key);
obfuscate_key = new_key;
- LogPrintf("Wrote new obfuscate key for %s: %s\n", path.string(), HexStr(obfuscate_key));
+ LogPrintf("Wrote new obfuscate key for %s: %s\n", fs::PathToString(path), HexStr(obfuscate_key));
}
- LogPrintf("Using obfuscation key for %s: %s\n", path.string(), HexStr(obfuscate_key));
+ LogPrintf("Using obfuscation key for %s: %s\n", fs::PathToString(path), HexStr(obfuscate_key));
}
CDBWrapper::~CDBWrapper()
@@ -197,13 +201,15 @@ bool CDBWrapper::WriteBatch(CDBBatch& batch, bool fSync)
return true;
}
-size_t CDBWrapper::DynamicMemoryUsage() const {
+size_t CDBWrapper::DynamicMemoryUsage() const
+{
std::string memory;
- if (!pdb->GetProperty("leveldb.approximate-memory-usage", &memory)) {
+ std::optional<size_t> parsed;
+ if (!pdb->GetProperty("leveldb.approximate-memory-usage", &memory) || !(parsed = ToIntegral<size_t>(memory))) {
LogPrint(BCLog::LEVELDB, "Failed to get approximate-memory-usage property\n");
return 0;
}
- return stoul(memory);
+ return parsed.value();
}
// Prefixed with null character to avoid collisions with other keys
@@ -220,10 +226,9 @@ const unsigned int CDBWrapper::OBFUSCATE_KEY_NUM_BYTES = 8;
*/
std::vector<unsigned char> CDBWrapper::CreateObfuscateKey() const
{
- unsigned char buff[OBFUSCATE_KEY_NUM_BYTES];
- GetRandBytes(buff, OBFUSCATE_KEY_NUM_BYTES);
- return std::vector<unsigned char>(&buff[0], &buff[OBFUSCATE_KEY_NUM_BYTES]);
-
+ std::vector<uint8_t> ret(OBFUSCATE_KEY_NUM_BYTES);
+ GetRandBytes(ret.data(), OBFUSCATE_KEY_NUM_BYTES);
+ return ret;
}
bool CDBWrapper::IsEmpty()
diff --git a/src/dbwrapper.h b/src/dbwrapper.h
index c119036db2..1109cb5888 100644
--- a/src/dbwrapper.h
+++ b/src/dbwrapper.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -147,7 +147,7 @@ public:
template<typename K> bool GetKey(K& key) {
leveldb::Slice slKey = piter->key();
try {
- CDataStream ssKey(MakeUCharSpan(slKey), SER_DISK, CLIENT_VERSION);
+ CDataStream ssKey{MakeByteSpan(slKey), SER_DISK, CLIENT_VERSION};
ssKey >> key;
} catch (const std::exception&) {
return false;
@@ -158,7 +158,7 @@ public:
template<typename V> bool GetValue(V& value) {
leveldb::Slice slValue = piter->value();
try {
- CDataStream ssValue(MakeUCharSpan(slValue), SER_DISK, CLIENT_VERSION);
+ CDataStream ssValue{MakeByteSpan(slValue), SER_DISK, CLIENT_VERSION};
ssValue.Xor(dbwrapper_private::GetObfuscateKey(parent));
ssValue >> value;
} catch (const std::exception&) {
@@ -244,7 +244,7 @@ public:
dbwrapper_private::HandleError(status);
}
try {
- CDataStream ssValue(MakeUCharSpan(strValue), SER_DISK, CLIENT_VERSION);
+ CDataStream ssValue{MakeByteSpan(strValue), SER_DISK, CLIENT_VERSION};
ssValue.Xor(obfuscate_key);
ssValue >> value;
} catch (const std::exception&) {
diff --git a/src/deploymentinfo.cpp b/src/deploymentinfo.cpp
new file mode 100644
index 0000000000..246932e56d
--- /dev/null
+++ b/src/deploymentinfo.cpp
@@ -0,0 +1,36 @@
+// Copyright (c) 2016-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <deploymentinfo.h>
+
+#include <consensus/params.h>
+
+const struct VBDeploymentInfo VersionBitsDeploymentInfo[Consensus::MAX_VERSION_BITS_DEPLOYMENTS] = {
+ {
+ /*.name =*/ "testdummy",
+ /*.gbt_force =*/ true,
+ },
+ {
+ /*.name =*/ "taproot",
+ /*.gbt_force =*/ true,
+ },
+};
+
+std::string DeploymentName(Consensus::BuriedDeployment dep)
+{
+ assert(ValidDeployment(dep));
+ switch (dep) {
+ case Consensus::DEPLOYMENT_HEIGHTINCB:
+ return "bip34";
+ case Consensus::DEPLOYMENT_CLTV:
+ return "bip65";
+ case Consensus::DEPLOYMENT_DERSIG:
+ return "bip66";
+ case Consensus::DEPLOYMENT_CSV:
+ return "csv";
+ case Consensus::DEPLOYMENT_SEGWIT:
+ return "segwit";
+ } // no default case, so the compiler can warn about missing cases
+ return "";
+}
diff --git a/src/deploymentinfo.h b/src/deploymentinfo.h
new file mode 100644
index 0000000000..8b909dedb4
--- /dev/null
+++ b/src/deploymentinfo.h
@@ -0,0 +1,29 @@
+// Copyright (c) 2016-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_DEPLOYMENTINFO_H
+#define BITCOIN_DEPLOYMENTINFO_H
+
+#include <consensus/params.h>
+
+#include <string>
+
+struct VBDeploymentInfo {
+ /** Deployment name */
+ const char *name;
+ /** Whether GBT clients can safely ignore this rule in simplified usage */
+ bool gbt_force;
+};
+
+extern const VBDeploymentInfo VersionBitsDeploymentInfo[Consensus::MAX_VERSION_BITS_DEPLOYMENTS];
+
+std::string DeploymentName(Consensus::BuriedDeployment dep);
+
+inline std::string DeploymentName(Consensus::DeploymentPos pos)
+{
+ assert(Consensus::ValidDeployment(pos));
+ return VersionBitsDeploymentInfo[pos].name;
+}
+
+#endif // BITCOIN_DEPLOYMENTINFO_H
diff --git a/src/deploymentstatus.cpp b/src/deploymentstatus.cpp
new file mode 100644
index 0000000000..ae19a6e40d
--- /dev/null
+++ b/src/deploymentstatus.cpp
@@ -0,0 +1,34 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <deploymentstatus.h>
+
+#include <consensus/params.h>
+#include <versionbits.h>
+
+#include <type_traits>
+
+VersionBitsCache g_versionbitscache;
+
+/* Basic sanity checking for BuriedDeployment/DeploymentPos enums and
+ * ValidDeployment check */
+
+static_assert(ValidDeployment(Consensus::DEPLOYMENT_TESTDUMMY), "sanity check of DeploymentPos failed (TESTDUMMY not valid)");
+static_assert(!ValidDeployment(Consensus::MAX_VERSION_BITS_DEPLOYMENTS), "sanity check of DeploymentPos failed (MAX value considered valid)");
+static_assert(!ValidDeployment(static_cast<Consensus::BuriedDeployment>(Consensus::DEPLOYMENT_TESTDUMMY)), "sanity check of BuriedDeployment failed (overlaps with DeploymentPos)");
+
+/* ValidDeployment only checks upper bounds for ensuring validity.
+ * This checks that the lowest possible value or the type is also a
+ * (specific) valid deployment so that lower bounds don't need to be checked.
+ */
+
+template<typename T, T x>
+static constexpr bool is_minimum()
+{
+ using U = typename std::underlying_type<T>::type;
+ return x == std::numeric_limits<U>::min();
+}
+
+static_assert(is_minimum<Consensus::BuriedDeployment, Consensus::DEPLOYMENT_HEIGHTINCB>(), "heightincb is not minimum value for BuriedDeployment");
+static_assert(is_minimum<Consensus::DeploymentPos, Consensus::DEPLOYMENT_TESTDUMMY>(), "testdummy is not minimum value for DeploymentPos");
diff --git a/src/deploymentstatus.h b/src/deploymentstatus.h
new file mode 100644
index 0000000000..ba5103de74
--- /dev/null
+++ b/src/deploymentstatus.h
@@ -0,0 +1,55 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_DEPLOYMENTSTATUS_H
+#define BITCOIN_DEPLOYMENTSTATUS_H
+
+#include <chain.h>
+#include <versionbits.h>
+
+#include <limits>
+
+/** Global cache for versionbits deployment status */
+extern VersionBitsCache g_versionbitscache;
+
+/** Determine if a deployment is active for the next block */
+inline bool DeploymentActiveAfter(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::BuriedDeployment dep)
+{
+ assert(Consensus::ValidDeployment(dep));
+ return (pindexPrev == nullptr ? 0 : pindexPrev->nHeight + 1) >= params.DeploymentHeight(dep);
+}
+
+inline bool DeploymentActiveAfter(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos dep)
+{
+ assert(Consensus::ValidDeployment(dep));
+ return ThresholdState::ACTIVE == g_versionbitscache.State(pindexPrev, params, dep);
+}
+
+/** Determine if a deployment is active for this block */
+inline bool DeploymentActiveAt(const CBlockIndex& index, const Consensus::Params& params, Consensus::BuriedDeployment dep)
+{
+ assert(Consensus::ValidDeployment(dep));
+ return index.nHeight >= params.DeploymentHeight(dep);
+}
+
+inline bool DeploymentActiveAt(const CBlockIndex& index, const Consensus::Params& params, Consensus::DeploymentPos dep)
+{
+ assert(Consensus::ValidDeployment(dep));
+ return DeploymentActiveAfter(index.pprev, params, dep);
+}
+
+/** Determine if a deployment is enabled (can ever be active) */
+inline bool DeploymentEnabled(const Consensus::Params& params, Consensus::BuriedDeployment dep)
+{
+ assert(Consensus::ValidDeployment(dep));
+ return params.DeploymentHeight(dep) != std::numeric_limits<int>::max();
+}
+
+inline bool DeploymentEnabled(const Consensus::Params& params, Consensus::DeploymentPos dep)
+{
+ assert(Consensus::ValidDeployment(dep));
+ return params.vDeployments[dep].nStartTime != Consensus::BIP9Deployment::NEVER_ACTIVE;
+}
+
+#endif // BITCOIN_DEPLOYMENTSTATUS_H
diff --git a/src/dummywallet.cpp b/src/dummywallet.cpp
index bb06c95e7d..2b94ed611b 100644
--- a/src/dummywallet.cpp
+++ b/src/dummywallet.cpp
@@ -1,16 +1,17 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <util/system.h>
#include <walletinitinterface.h>
-class CWallet;
+class ArgsManager;
namespace interfaces {
class Chain;
class Handler;
class Wallet;
+class WalletLoader;
}
class DummyWalletInit : public WalletInitInterface {
@@ -19,7 +20,7 @@ public:
bool HasWalletSupport() const override {return false;}
void AddWalletOptions(ArgsManager& argsman) const override;
bool ParameterInteraction() const override {return true;}
- void Construct(NodeContext& node) const override {LogPrintf("No wallet support compiled in!\n");}
+ void Construct(node::NodeContext& node) const override {LogPrintf("No wallet support compiled in!\n");}
};
void DummyWalletInit::AddWalletOptions(ArgsManager& argsman) const
@@ -28,6 +29,7 @@ void DummyWalletInit::AddWalletOptions(ArgsManager& argsman) const
"-addresstype",
"-avoidpartialspends",
"-changetype",
+ "-consolidatefeerate=<amt>",
"-disablewallet",
"-discardfee=<amt>",
"-fallbackfee=<amt>",
@@ -36,8 +38,6 @@ void DummyWalletInit::AddWalletOptions(ArgsManager& argsman) const
"-maxtxfee=<amt>",
"-mintxfee=<amt>",
"-paytxfee=<amt>",
- "-rescan",
- "-salvagewallet",
"-signer=<cmd>",
"-spendzeroconfchange",
"-txconfirmtarget=<n>",
@@ -50,6 +50,7 @@ void DummyWalletInit::AddWalletOptions(ArgsManager& argsman) const
"-flushwallet",
"-privdb",
"-walletrejectlongchains",
+ "-unsafesqlitesync",
});
}
@@ -57,7 +58,7 @@ const WalletInitInterface& g_wallet_init_interface = DummyWalletInit();
namespace interfaces {
-std::unique_ptr<Wallet> MakeWallet(const std::shared_ptr<CWallet>& wallet)
+std::unique_ptr<WalletLoader> MakeWalletLoader(Chain& chain, ArgsManager& args)
{
throw std::logic_error("Wallet function called in non-wallet build.");
}
diff --git a/src/wallet/external_signer.cpp b/src/external_signer.cpp
index 3396111760..75070899c6 100644
--- a/src/wallet/external_signer.cpp
+++ b/src/external_signer.cpp
@@ -7,45 +7,45 @@
#include <psbt.h>
#include <util/strencodings.h>
#include <util/system.h>
-#include <wallet/external_signer.h>
+#include <external_signer.h>
-ExternalSigner::ExternalSigner(const std::string& command, const std::string& fingerprint, std::string chain, std::string name): m_command(command), m_fingerprint(fingerprint), m_chain(chain), m_name(name) {}
+#include <algorithm>
+#include <stdexcept>
+#include <string>
+#include <vector>
+
+ExternalSigner::ExternalSigner(const std::string& command, const std::string chain, const std::string& fingerprint, const std::string name): m_command(command), m_chain(chain), m_fingerprint(fingerprint), m_name(name) {}
const std::string ExternalSigner::NetworkArg() const
{
return " --chain " + m_chain;
}
-#ifdef ENABLE_EXTERNAL_SIGNER
-
-bool ExternalSigner::Enumerate(const std::string& command, std::vector<ExternalSigner>& signers, std::string chain, bool ignore_errors)
+bool ExternalSigner::Enumerate(const std::string& command, std::vector<ExternalSigner>& signers, const std::string chain)
{
// Call <command> enumerate
const UniValue result = RunCommandParseJSON(command + " enumerate");
if (!result.isArray()) {
- if (ignore_errors) return false;
- throw ExternalSignerException(strprintf("'%s' received invalid response, expected array of signers", command));
+ throw std::runtime_error(strprintf("'%s' received invalid response, expected array of signers", command));
}
for (UniValue signer : result.getValues()) {
// Check for error
const UniValue& error = find_value(signer, "error");
if (!error.isNull()) {
- if (ignore_errors) return false;
if (!error.isStr()) {
- throw ExternalSignerException(strprintf("'%s' error", command));
+ throw std::runtime_error(strprintf("'%s' error", command));
}
- throw ExternalSignerException(strprintf("'%s' error: %s", command, error.getValStr()));
+ throw std::runtime_error(strprintf("'%s' error: %s", command, error.getValStr()));
}
// Check if fingerprint is present
const UniValue& fingerprint = find_value(signer, "fingerprint");
if (fingerprint.isNull()) {
- if (ignore_errors) return false;
- throw ExternalSignerException(strprintf("'%s' received invalid response, missing signer fingerprint", command));
+ throw std::runtime_error(strprintf("'%s' received invalid response, missing signer fingerprint", command));
}
- std::string fingerprintStr = fingerprint.get_str();
+ const std::string fingerprintStr = fingerprint.get_str();
// Skip duplicate signer
bool duplicate = false;
- for (ExternalSigner signer : signers) {
+ for (const ExternalSigner& signer : signers) {
if (signer.m_fingerprint.compare(fingerprintStr) == 0) duplicate = true;
}
if (duplicate) break;
@@ -54,7 +54,7 @@ bool ExternalSigner::Enumerate(const std::string& command, std::vector<ExternalS
if (model_field.isStr() && model_field.getValStr() != "") {
name += model_field.getValStr();
}
- signers.push_back(ExternalSigner(command, fingerprintStr, chain, name));
+ signers.push_back(ExternalSigner(command, chain, fingerprintStr, name));
}
return true;
}
@@ -64,7 +64,7 @@ UniValue ExternalSigner::DisplayAddress(const std::string& descriptor) const
return RunCommandParseJSON(m_command + " --fingerprint \"" + m_fingerprint + "\"" + NetworkArg() + " displayaddress --desc \"" + descriptor + "\"");
}
-UniValue ExternalSigner::GetDescriptors(int account)
+UniValue ExternalSigner::GetDescriptors(const int account)
{
return RunCommandParseJSON(m_command + " --fingerprint \"" + m_fingerprint + "\"" + NetworkArg() + " getdescriptors --account " + strprintf("%d", account));
}
@@ -76,21 +76,20 @@ bool ExternalSigner::SignTransaction(PartiallySignedTransaction& psbtx, std::str
ssTx << psbtx;
// Check if signer fingerprint matches any input master key fingerprint
- bool match = false;
- for (unsigned int i = 0; i < psbtx.inputs.size(); ++i) {
- const PSBTInput& input = psbtx.inputs[i];
- for (auto entry : input.hd_keypaths) {
- if (m_fingerprint == strprintf("%08x", ReadBE32(entry.second.fingerprint))) match = true;
+ auto matches_signer_fingerprint = [&](const PSBTInput& input) {
+ for (const auto& entry : input.hd_keypaths) {
+ if (m_fingerprint == strprintf("%08x", ReadBE32(entry.second.fingerprint))) return true;
}
- }
+ return false;
+ };
- if (!match) {
+ if (!std::any_of(psbtx.inputs.begin(), psbtx.inputs.end(), matches_signer_fingerprint)) {
error = "Signer fingerprint " + m_fingerprint + " does not match any of the inputs:\n" + EncodeBase64(ssTx.str());
return false;
}
- std::string command = m_command + " --stdin --fingerprint \"" + m_fingerprint + "\"" + NetworkArg();
- std::string stdinStr = "signtx \"" + EncodeBase64(ssTx.str()) + "\"";
+ const std::string command = m_command + " --stdin --fingerprint \"" + m_fingerprint + "\"" + NetworkArg();
+ const std::string stdinStr = "signtx \"" + EncodeBase64(ssTx.str()) + "\"";
const UniValue signer_result = RunCommandParseJSON(command, stdinStr);
@@ -115,5 +114,3 @@ bool ExternalSigner::SignTransaction(PartiallySignedTransaction& psbtx, std::str
return true;
}
-
-#endif
diff --git a/src/wallet/external_signer.h b/src/external_signer.h
index 4b9711107b..e40fd7f010 100644
--- a/src/wallet/external_signer.h
+++ b/src/external_signer.h
@@ -2,20 +2,16 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#ifndef BITCOIN_WALLET_EXTERNAL_SIGNER_H
-#define BITCOIN_WALLET_EXTERNAL_SIGNER_H
+#ifndef BITCOIN_EXTERNAL_SIGNER_H
+#define BITCOIN_EXTERNAL_SIGNER_H
-#include <stdexcept>
-#include <string>
#include <univalue.h>
#include <util/system.h>
-struct PartiallySignedTransaction;
+#include <string>
+#include <vector>
-class ExternalSignerException : public std::runtime_error {
-public:
- using std::runtime_error::runtime_error;
-};
+struct PartiallySignedTransaction;
//! Enables interaction with an external signing device or service, such as
//! a hardware wallet. See doc/external-signer.md
@@ -25,31 +21,30 @@ private:
//! The command which handles interaction with the external signer.
std::string m_command;
+ //! Bitcoin mainnet, testnet, etc
+ std::string m_chain;
+
+ const std::string NetworkArg() const;
+
public:
//! @param[in] command the command which handles interaction with the external signer
//! @param[in] fingerprint master key fingerprint of the signer
//! @param[in] chain "main", "test", "regtest" or "signet"
//! @param[in] name device name
- ExternalSigner(const std::string& command, const std::string& fingerprint, std::string chain, std::string name);
+ ExternalSigner(const std::string& command, const std::string chain, const std::string& fingerprint, const std::string name);
//! Master key fingerprint of the signer
std::string m_fingerprint;
- //! Bitcoin mainnet, testnet, etc
- std::string m_chain;
-
//! Name of signer
std::string m_name;
- const std::string NetworkArg() const;
-
-#ifdef ENABLE_EXTERNAL_SIGNER
//! Obtain a list of signers. Calls `<command> enumerate`.
//! @param[in] command the command which handles interaction with the external signer
//! @param[in,out] signers vector to which new signers (with a unique master key fingerprint) are added
//! @param chain "main", "test", "regtest" or "signet"
- //! @param[out] success Boolean
- static bool Enumerate(const std::string& command, std::vector<ExternalSigner>& signers, std::string chain, bool ignore_errors = false);
+ //! @returns success
+ static bool Enumerate(const std::string& command, std::vector<ExternalSigner>& signers, const std::string chain);
//! Display address on the device. Calls `<command> displayaddress --desc <descriptor>`.
//! @param[in] descriptor Descriptor specifying which address to display.
@@ -59,15 +54,13 @@ public:
//! Get receive and change Descriptor(s) from device for a given account.
//! Calls `<command> getdescriptors --account <account>`
//! @param[in] account which BIP32 account to use (e.g. `m/44'/0'/account'`)
- //! @param[out] UniValue see doc/external-signer.md
- UniValue GetDescriptors(int account);
+ //! @returns see doc/external-signer.md
+ UniValue GetDescriptors(const int account);
//! Sign PartiallySignedTransaction on the device.
//! Calls `<command> signtransaction` and passes the PSBT via stdin.
//! @param[in,out] psbt PartiallySignedTransaction to be signed
bool SignTransaction(PartiallySignedTransaction& psbt, std::string& error);
-
-#endif
};
-#endif // BITCOIN_WALLET_EXTERNAL_SIGNER_H
+#endif // BITCOIN_EXTERNAL_SIGNER_H
diff --git a/src/flatfile.cpp b/src/flatfile.cpp
index 151f1a38f1..d6cada0c46 100644
--- a/src/flatfile.cpp
+++ b/src/flatfile.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -41,11 +41,11 @@ FILE* FlatFileSeq::Open(const FlatFilePos& pos, bool read_only)
if (!file && !read_only)
file = fsbridge::fopen(path, "wb+");
if (!file) {
- LogPrintf("Unable to open file %s\n", path.string());
+ LogPrintf("Unable to open file %s\n", fs::PathToString(path));
return nullptr;
}
if (pos.nPos && fseek(file, pos.nPos, SEEK_SET)) {
- LogPrintf("Unable to seek to position %u of %s\n", pos.nPos, path.string());
+ LogPrintf("Unable to seek to position %u of %s\n", pos.nPos, fs::PathToString(path));
fclose(file);
return nullptr;
}
diff --git a/src/fs.cpp b/src/fs.cpp
index 4f20ca4d28..219fdee959 100644
--- a/src/fs.cpp
+++ b/src/fs.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,6 @@
#ifndef WIN32
#include <cstring>
#include <fcntl.h>
-#include <string>
#include <sys/file.h>
#include <sys/utsname.h>
#include <unistd.h>
@@ -16,15 +15,19 @@
#define NOMINMAX
#endif
#include <codecvt>
+#include <limits>
#include <windows.h>
#endif
+#include <cassert>
+#include <string>
+
namespace fsbridge {
FILE *fopen(const fs::path& p, const char *mode)
{
#ifndef WIN32
- return ::fopen(p.string().c_str(), mode);
+ return ::fopen(p.c_str(), mode);
#else
std::wstring_convert<std::codecvt_utf8_utf16<wchar_t>,wchar_t> utf8_cvt;
return ::_wfopen(p.wstring().c_str(), utf8_cvt.from_bytes(mode).c_str());
@@ -34,7 +37,7 @@ FILE *fopen(const fs::path& p, const char *mode)
fs::path AbsPathJoin(const fs::path& base, const fs::path& path)
{
assert(base.is_absolute());
- return fs::absolute(path, base);
+ return path.empty() ? base : fs::path(base / path);
}
#ifndef WIN32
@@ -46,7 +49,7 @@ static std::string GetErrorReason()
FileLock::FileLock(const fs::path& file)
{
- fd = open(file.string().c_str(), O_RDWR);
+ fd = open(file.c_str(), O_RDWR);
if (fd == -1) {
reason = GetErrorReason();
}
@@ -150,108 +153,4 @@ std::string get_filesystem_error_message(const fs::filesystem_error& e)
#endif
}
-#ifdef WIN32
-#ifdef __GLIBCXX__
-
-// reference: https://github.com/gcc-mirror/gcc/blob/gcc-7_3_0-release/libstdc%2B%2B-v3/include/std/fstream#L270
-
-static std::string openmodeToStr(std::ios_base::openmode mode)
-{
- switch (mode & ~std::ios_base::ate) {
- case std::ios_base::out:
- case std::ios_base::out | std::ios_base::trunc:
- return "w";
- case std::ios_base::out | std::ios_base::app:
- case std::ios_base::app:
- return "a";
- case std::ios_base::in:
- return "r";
- case std::ios_base::in | std::ios_base::out:
- return "r+";
- case std::ios_base::in | std::ios_base::out | std::ios_base::trunc:
- return "w+";
- case std::ios_base::in | std::ios_base::out | std::ios_base::app:
- case std::ios_base::in | std::ios_base::app:
- return "a+";
- case std::ios_base::out | std::ios_base::binary:
- case std::ios_base::out | std::ios_base::trunc | std::ios_base::binary:
- return "wb";
- case std::ios_base::out | std::ios_base::app | std::ios_base::binary:
- case std::ios_base::app | std::ios_base::binary:
- return "ab";
- case std::ios_base::in | std::ios_base::binary:
- return "rb";
- case std::ios_base::in | std::ios_base::out | std::ios_base::binary:
- return "r+b";
- case std::ios_base::in | std::ios_base::out | std::ios_base::trunc | std::ios_base::binary:
- return "w+b";
- case std::ios_base::in | std::ios_base::out | std::ios_base::app | std::ios_base::binary:
- case std::ios_base::in | std::ios_base::app | std::ios_base::binary:
- return "a+b";
- default:
- return std::string();
- }
-}
-
-void ifstream::open(const fs::path& p, std::ios_base::openmode mode)
-{
- close();
- mode |= std::ios_base::in;
- m_file = fsbridge::fopen(p, openmodeToStr(mode).c_str());
- if (m_file == nullptr) {
- return;
- }
- m_filebuf = __gnu_cxx::stdio_filebuf<char>(m_file, mode);
- rdbuf(&m_filebuf);
- if (mode & std::ios_base::ate) {
- seekg(0, std::ios_base::end);
- }
-}
-
-void ifstream::close()
-{
- if (m_file != nullptr) {
- m_filebuf.close();
- fclose(m_file);
- }
- m_file = nullptr;
-}
-
-void ofstream::open(const fs::path& p, std::ios_base::openmode mode)
-{
- close();
- mode |= std::ios_base::out;
- m_file = fsbridge::fopen(p, openmodeToStr(mode).c_str());
- if (m_file == nullptr) {
- return;
- }
- m_filebuf = __gnu_cxx::stdio_filebuf<char>(m_file, mode);
- rdbuf(&m_filebuf);
- if (mode & std::ios_base::ate) {
- seekp(0, std::ios_base::end);
- }
-}
-
-void ofstream::close()
-{
- if (m_file != nullptr) {
- m_filebuf.close();
- fclose(m_file);
- }
- m_file = nullptr;
-}
-#else // __GLIBCXX__
-
-static_assert(sizeof(*fs::path().BOOST_FILESYSTEM_C_STR) == sizeof(wchar_t),
- "Warning: This build is using boost::filesystem ofstream and ifstream "
- "implementations which will fail to open paths containing multibyte "
- "characters. You should delete this static_assert to ignore this warning, "
- "or switch to a different C++ standard library like the Microsoft C++ "
- "Standard Library (where boost uses non-standard extensions to construct "
- "stream objects with wide filenames), or the GNU libstdc++ library (where "
- "a more complicated workaround has been implemented above).");
-
-#endif // __GLIBCXX__
-#endif // WIN32
-
} // fsbridge
diff --git a/src/fs.h b/src/fs.h
index d77b90be66..00b786453c 100644
--- a/src/fs.h
+++ b/src/fs.h
@@ -1,21 +1,168 @@
-// Copyright (c) 2017-2019 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_FS_H
#define BITCOIN_FS_H
-#include <stdio.h>
+#include <tinyformat.h>
+
+#include <cstdio>
+#include <filesystem>
+#include <iomanip>
+#include <ios>
+#include <ostream>
#include <string>
-#if defined WIN32 && defined __GLIBCXX__
-#include <ext/stdio_filebuf.h>
+#include <utility>
+
+/** Filesystem operations and types */
+namespace fs {
+
+using namespace std::filesystem;
+
+/**
+ * Path class wrapper to block calls to the fs::path(std::string) implicit
+ * constructor and the fs::path::string() method, which have unsafe and
+ * unpredictable behavior on Windows (see implementation note in
+ * \ref PathToString for details)
+ */
+class path : public std::filesystem::path
+{
+public:
+ using std::filesystem::path::path;
+
+ // Allow path objects arguments for compatibility.
+ path(std::filesystem::path path) : std::filesystem::path::path(std::move(path)) {}
+ path& operator=(std::filesystem::path path) { std::filesystem::path::operator=(std::move(path)); return *this; }
+ path& operator/=(std::filesystem::path path) { std::filesystem::path::operator/=(std::move(path)); return *this; }
+
+ // Allow literal string arguments, which are safe as long as the literals are ASCII.
+ path(const char* c) : std::filesystem::path(c) {}
+ path& operator=(const char* c) { std::filesystem::path::operator=(c); return *this; }
+ path& operator/=(const char* c) { std::filesystem::path::operator/=(c); return *this; }
+ path& append(const char* c) { std::filesystem::path::append(c); return *this; }
+
+ // Disallow std::string arguments to avoid locale-dependent decoding on windows.
+ path(std::string) = delete;
+ path& operator=(std::string) = delete;
+ path& operator/=(std::string) = delete;
+ path& append(std::string) = delete;
+
+ // Disallow std::string conversion method to avoid locale-dependent encoding on windows.
+ std::string string() const = delete;
+
+ // Required for path overloads in <fstream>.
+ // See https://gcc.gnu.org/git/?p=gcc.git;a=commit;h=96e0367ead5d8dcac3bec2865582e76e2fbab190
+ path& make_preferred() { std::filesystem::path::make_preferred(); return *this; }
+ path filename() const { return std::filesystem::path::filename(); }
+};
+
+// Disallow implicit std::string conversion for absolute to avoid
+// locale-dependent encoding on windows.
+static inline path absolute(const path& p)
+{
+ return std::filesystem::absolute(p);
+}
+
+// Disallow implicit std::string conversion for exists to avoid
+// locale-dependent encoding on windows.
+static inline bool exists(const path& p)
+{
+ return std::filesystem::exists(p);
+}
+
+// Allow explicit quoted stream I/O.
+static inline auto quoted(const std::string& s)
+{
+ return std::quoted(s, '"', '&');
+}
+
+// Allow safe path append operations.
+static inline path operator+(path p1, path p2)
+{
+ p1 += std::move(p2);
+ return p1;
+}
+
+// Disallow implicit std::string conversion for copy_file
+// to avoid locale-dependent encoding on Windows.
+static inline bool copy_file(const path& from, const path& to, copy_options options)
+{
+ return std::filesystem::copy_file(from, to, options);
+}
+
+/**
+ * Convert path object to a byte string. On POSIX, paths natively are byte
+ * strings, so this is trivial. On Windows, paths natively are Unicode, so an
+ * encoding step is necessary. The inverse of \ref PathToString is \ref
+ * PathFromString. The strings returned and parsed by these functions can be
+ * used to call POSIX APIs, and for roundtrip conversion, logging, and
+ * debugging.
+ *
+ * Because \ref PathToString and \ref PathFromString functions don't specify an
+ * encoding, they are meant to be used internally, not externally. They are not
+ * appropriate to use in applications requiring UTF-8, where
+ * fs::path::u8string() and fs::u8path() methods should be used instead. Other
+ * applications could require still different encodings. For example, JSON, XML,
+ * or URI applications might prefer to use higher-level escapes (\uXXXX or
+ * &XXXX; or %XX) instead of multibyte encoding. Rust, Python, Java applications
+ * may require encoding paths with their respective UTF-8 derivatives WTF-8,
+ * PEP-383, and CESU-8 (see https://en.wikipedia.org/wiki/UTF-8#Derivatives).
+ */
+static inline std::string PathToString(const path& path)
+{
+ // Implementation note: On Windows, the std::filesystem::path(string)
+ // constructor and std::filesystem::path::string() method are not safe to
+ // use here, because these methods encode the path using C++'s narrow
+ // multibyte encoding, which on Windows corresponds to the current "code
+ // page", which is unpredictable and typically not able to represent all
+ // valid paths. So std::filesystem::path::u8string() and
+ // std::filesystem::u8path() functions are used instead on Windows. On
+ // POSIX, u8string/u8path functions are not safe to use because paths are
+ // not always valid UTF-8, so plain string methods which do not transform
+ // the path there are used.
+#ifdef WIN32
+ return path.u8string();
+#else
+ static_assert(std::is_same<path::string_type, std::string>::value, "PathToString not implemented on this platform");
+ return path.std::filesystem::path::string();
#endif
+}
-#include <boost/filesystem.hpp>
-#include <boost/filesystem/fstream.hpp>
+/**
+ * Convert byte string to path object. Inverse of \ref PathToString.
+ */
+static inline path PathFromString(const std::string& string)
+{
+#ifdef WIN32
+ return u8path(string);
+#else
+ return std::filesystem::path(string);
+#endif
+}
-/** Filesystem operations and types */
-namespace fs = boost::filesystem;
+/**
+ * Create directory (and if necessary its parents), unless the leaf directory
+ * already exists or is a symlink to an existing directory.
+ * This is a temporary workaround for an issue in libstdc++ that has been fixed
+ * upstream [PR101510].
+ */
+static inline bool create_directories(const std::filesystem::path& p)
+{
+ if (std::filesystem::is_symlink(p) && std::filesystem::is_directory(p)) {
+ return false;
+ }
+ return std::filesystem::create_directories(p);
+}
+
+/**
+ * This variant is not used. Delete it to prevent it from accidentally working
+ * around the workaround. If it is needed, add a workaround in the same pattern
+ * as above.
+ */
+bool create_directories(const std::filesystem::path& p, std::error_code& ec) = delete;
+
+} // namespace fs
/** Bridge operations to C stdio */
namespace fsbridge {
@@ -53,54 +200,13 @@ namespace fsbridge {
};
std::string get_filesystem_error_message(const fs::filesystem_error& e);
-
- // GNU libstdc++ specific workaround for opening UTF-8 paths on Windows.
- //
- // On Windows, it is only possible to reliably access multibyte file paths through
- // `wchar_t` APIs, not `char` APIs. But because the C++ standard doesn't
- // require ifstream/ofstream `wchar_t` constructors, and the GNU library doesn't
- // provide them (in contrast to the Microsoft C++ library, see
- // https://stackoverflow.com/questions/821873/how-to-open-an-stdfstream-ofstream-or-ifstream-with-a-unicode-filename/822032#822032),
- // Boost is forced to fall back to `char` constructors which may not work properly.
- //
- // Work around this issue by creating stream objects with `_wfopen` in
- // combination with `__gnu_cxx::stdio_filebuf`. This workaround can be removed
- // with an upgrade to C++17, where streams can be constructed directly from
- // `std::filesystem::path` objects.
-
-#if defined WIN32 && defined __GLIBCXX__
- class ifstream : public std::istream
- {
- public:
- ifstream() = default;
- explicit ifstream(const fs::path& p, std::ios_base::openmode mode = std::ios_base::in) { open(p, mode); }
- ~ifstream() { close(); }
- void open(const fs::path& p, std::ios_base::openmode mode = std::ios_base::in);
- bool is_open() { return m_filebuf.is_open(); }
- void close();
-
- private:
- __gnu_cxx::stdio_filebuf<char> m_filebuf;
- FILE* m_file = nullptr;
- };
- class ofstream : public std::ostream
- {
- public:
- ofstream() = default;
- explicit ofstream(const fs::path& p, std::ios_base::openmode mode = std::ios_base::out) { open(p, mode); }
- ~ofstream() { close(); }
- void open(const fs::path& p, std::ios_base::openmode mode = std::ios_base::out);
- bool is_open() { return m_filebuf.is_open(); }
- void close();
-
- private:
- __gnu_cxx::stdio_filebuf<char> m_filebuf;
- FILE* m_file = nullptr;
- };
-#else // !(WIN32 && __GLIBCXX__)
- typedef fs::ifstream ifstream;
- typedef fs::ofstream ofstream;
-#endif // WIN32 && __GLIBCXX__
};
+// Disallow path operator<< formatting in tinyformat to avoid locale-dependent
+// encoding on windows.
+namespace tinyformat {
+template<> inline void formatValue(std::ostream&, const char*, const char*, int, const std::filesystem::path&) = delete;
+template<> inline void formatValue(std::ostream&, const char*, const char*, int, const fs::path&) = delete;
+} // namespace tinyformat
+
#endif // BITCOIN_FS_H
diff --git a/src/hash.cpp b/src/hash.cpp
index cc46043c2b..f58b29e3ba 100644
--- a/src/hash.cpp
+++ b/src/hash.cpp
@@ -1,8 +1,9 @@
-// Copyright (c) 2013-2020 The Bitcoin Core developers
+// Copyright (c) 2013-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <hash.h>
+#include <span.h>
#include <crypto/common.h>
#include <crypto/hmac_sha512.h>
@@ -47,8 +48,10 @@ unsigned int MurmurHash3(unsigned int nHashSeed, Span<const unsigned char> vData
switch (vDataToHash.size() & 3) {
case 3:
k1 ^= tail[2] << 16;
+ [[fallthrough]];
case 2:
k1 ^= tail[1] << 8;
+ [[fallthrough]];
case 1:
k1 ^= tail[0];
k1 *= c1;
@@ -72,10 +75,7 @@ unsigned int MurmurHash3(unsigned int nHashSeed, Span<const unsigned char> vData
void BIP32Hash(const ChainCode &chainCode, unsigned int nChild, unsigned char header, const unsigned char data[32], unsigned char output[64])
{
unsigned char num[4];
- num[0] = (nChild >> 24) & 0xFF;
- num[1] = (nChild >> 16) & 0xFF;
- num[2] = (nChild >> 8) & 0xFF;
- num[3] = (nChild >> 0) & 0xFF;
+ WriteBE32(num, nChild);
CHMAC_SHA512(chainCode.begin(), chainCode.size()).Write(&header, 1).Write(data, 32).Write(num, 4).Finalize(output);
}
diff --git a/src/hash.h b/src/hash.h
index 1456a899d8..9f582842c1 100644
--- a/src/hash.h
+++ b/src/hash.h
@@ -111,8 +111,9 @@ public:
int GetType() const { return nType; }
int GetVersion() const { return nVersion; }
- void write(const char *pch, size_t size) {
- ctx.Write((const unsigned char*)pch, size);
+ void write(Span<const std::byte> src)
+ {
+ ctx.Write(UCharCast(src.data()), src.size());
}
/** Compute the double-SHA256 hash of all data written to this object.
@@ -162,18 +163,18 @@ private:
public:
explicit CHashVerifier(Source* source_) : CHashWriter(source_->GetType(), source_->GetVersion()), source(source_) {}
- void read(char* pch, size_t nSize)
+ void read(Span<std::byte> dst)
{
- source->read(pch, nSize);
- this->write(pch, nSize);
+ source->read(dst);
+ this->write(dst);
}
void ignore(size_t nSize)
{
- char data[1024];
+ std::byte data[1024];
while (nSize > 0) {
size_t now = std::min<size_t>(nSize, 1024);
- read(data, now);
+ read({data, now});
nSize -= now;
}
}
diff --git a/src/httprpc.cpp b/src/httprpc.cpp
index cb8b220895..5d0b59f7cb 100644
--- a/src/httprpc.cpp
+++ b/src/httprpc.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,7 @@
#include <rpc/protocol.h>
#include <rpc/server.h>
#include <util/strencodings.h>
+#include <util/string.h>
#include <util/system.h>
#include <util/translation.h>
#include <walletinitinterface.h>
@@ -22,7 +23,7 @@
#include <set>
#include <string>
-#include <boost/algorithm/string.hpp> // boost::trim
+#include <boost/algorithm/string.hpp>
/** WWW-Authenticate to present with 401 Unauthorized response */
static const char* WWW_AUTH_HEADER_DATA = "Basic realm=\"jsonrpc\"";
@@ -130,8 +131,7 @@ static bool RPCAuthorized(const std::string& strAuth, std::string& strAuthUserna
return false;
if (strAuth.substr(0, 6) != "Basic ")
return false;
- std::string strUserPass64 = strAuth.substr(6);
- boost::trim(strUserPass64);
+ std::string strUserPass64 = TrimString(strAuth.substr(6));
std::string strUserPass = DecodeBase64(strUserPass64);
if (strUserPass.find(':') != std::string::npos)
@@ -144,7 +144,7 @@ static bool RPCAuthorized(const std::string& strAuth, std::string& strAuthUserna
return multiUserAuthorized(strUserPass);
}
-static bool HTTPReq_JSONRPC(const util::Ref& context, HTTPRequest* req)
+static bool HTTPReq_JSONRPC(const std::any& context, HTTPRequest* req)
{
// JSONRPC handles only POST
if (req->GetRequestMethod() != HTTPRequest::POST) {
@@ -159,7 +159,8 @@ static bool HTTPReq_JSONRPC(const util::Ref& context, HTTPRequest* req)
return false;
}
- JSONRPCRequest jreq(context);
+ JSONRPCRequest jreq;
+ jreq.context = context;
jreq.peerAddr = req->GetPeer().ToString();
if (!RPCAuthorized(authHeader.second, jreq.authUser)) {
LogPrintf("ThreadRPCServer incorrect password attempt from %s\n", jreq.peerAddr);
@@ -288,20 +289,20 @@ static bool InitRPCAuthentication()
return true;
}
-bool StartHTTPRPC(const util::Ref& context)
+bool StartHTTPRPC(const std::any& context)
{
LogPrint(BCLog::RPC, "Starting HTTP RPC server\n");
if (!InitRPCAuthentication())
return false;
- auto handle_rpc = [&context](HTTPRequest* req, const std::string&) { return HTTPReq_JSONRPC(context, req); };
+ auto handle_rpc = [context](HTTPRequest* req, const std::string&) { return HTTPReq_JSONRPC(context, req); };
RegisterHTTPHandler("/", true, handle_rpc);
if (g_wallet_init_interface.HasWalletSupport()) {
RegisterHTTPHandler("/wallet/", false, handle_rpc);
}
struct event_base* eventBase = EventBase();
assert(eventBase);
- httpRPCTimerInterface = MakeUnique<HTTPRPCTimerInterface>(eventBase);
+ httpRPCTimerInterface = std::make_unique<HTTPRPCTimerInterface>(eventBase);
RPCSetTimerInterface(httpRPCTimerInterface.get());
return true;
}
diff --git a/src/httprpc.h b/src/httprpc.h
index 97af6f7bb1..404d13083f 100644
--- a/src/httprpc.h
+++ b/src/httprpc.h
@@ -1,18 +1,16 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_HTTPRPC_H
#define BITCOIN_HTTPRPC_H
-namespace util {
-class Ref;
-} // namespace util
+#include <any>
/** Start HTTP RPC subsystem.
* Precondition; HTTP and RPC has been started.
*/
-bool StartHTTPRPC(const util::Ref& context);
+bool StartHTTPRPC(const std::any& context);
/** Interrupt HTTP RPC subsystem.
*/
void InterruptHTTPRPC();
@@ -24,7 +22,7 @@ void StopHTTPRPC();
/** Start HTTP REST subsystem.
* Precondition; HTTP and RPC has been started.
*/
-void StartREST(const util::Ref& context);
+void StartREST(const std::any& context);
/** Interrupt RPC REST subsystem.
*/
void InterruptREST();
@@ -33,4 +31,4 @@ void InterruptREST();
*/
void StopREST();
-#endif
+#endif // BITCOIN_HTTPRPC_H
diff --git a/src/httpserver.cpp b/src/httpserver.cpp
index 0a8e58ab67..e00c68585e 100644
--- a/src/httpserver.cpp
+++ b/src/httpserver.cpp
@@ -1,7 +1,11 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#if defined(HAVE_CONFIG_H)
+#include <config/bitcoin-config.h>
+#endif
+
#include <httpserver.h>
#include <chainparamsbase.h>
@@ -12,6 +16,7 @@
#include <shutdown.h>
#include <sync.h>
#include <util/strencodings.h>
+#include <util/syscall_sandbox.h>
#include <util/system.h>
#include <util/threadnames.h>
#include <util/translation.h>
@@ -63,12 +68,11 @@ template <typename WorkItem>
class WorkQueue
{
private:
- /** Mutex protects entire object */
Mutex cs;
- std::condition_variable cond;
- std::deque<std::unique_ptr<WorkItem>> queue;
- bool running;
- size_t maxDepth;
+ std::condition_variable cond GUARDED_BY(cs);
+ std::deque<std::unique_ptr<WorkItem>> queue GUARDED_BY(cs);
+ bool running GUARDED_BY(cs);
+ const size_t maxDepth;
public:
explicit WorkQueue(size_t _maxDepth) : running(true),
@@ -84,7 +88,7 @@ public:
bool Enqueue(WorkItem* item)
{
LOCK(cs);
- if (queue.size() >= maxDepth) {
+ if (!running || queue.size() >= maxDepth) {
return false;
}
queue.emplace_back(std::unique_ptr<WorkItem>(item));
@@ -100,7 +104,7 @@ public:
WAIT_LOCK(cs, lock);
while (running && queue.empty())
cond.wait(lock);
- if (!running)
+ if (!running && queue.empty())
break;
i = std::move(queue.front());
queue.pop_front();
@@ -137,7 +141,7 @@ static struct evhttp* eventHTTP = nullptr;
//! List of subnets to allow RPC connections from
static std::vector<CSubNet> rpc_allow_subnets;
//! Work queue for handling longer requests off the event loop thread
-static WorkQueue<HTTPClosure>* workQueue = nullptr;
+static std::unique_ptr<WorkQueue<HTTPClosure>> g_work_queue{nullptr};
//! Handlers for (sub)paths
static std::vector<HTTPPathHandler> pathHandlers;
//! Bound listening sockets
@@ -257,12 +261,12 @@ static void http_request_cb(struct evhttp_request* req, void* arg)
// Dispatch to worker thread
if (i != iend) {
std::unique_ptr<HTTPWorkItem> item(new HTTPWorkItem(std::move(hreq), path, i->handler));
- assert(workQueue);
- if (workQueue->Enqueue(item.get()))
+ assert(g_work_queue);
+ if (g_work_queue->Enqueue(item.get())) {
item.release(); /* if true, queue took ownership */
- else {
+ } else {
LogPrintf("WARNING: request rejected because http work queue depth exceeded, it can be increased with the -rpcworkqueue= setting\n");
- item->req->WriteReply(HTTP_INTERNAL_SERVER_ERROR, "Work queue depth exceeded");
+ item->req->WriteReply(HTTP_SERVICE_UNAVAILABLE, "Work queue depth exceeded");
}
} else {
hreq->WriteReply(HTTP_NOT_FOUND);
@@ -280,6 +284,7 @@ static void http_reject_request_cb(struct evhttp_request* req, void*)
static bool ThreadHTTP(struct event_base* base)
{
util::ThreadRename("http");
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::NET_HTTP_SERVER);
LogPrint(BCLog::HTTP, "Entering http event loop\n");
event_base_dispatch(base);
// Event loop will be interrupted by InterruptHTTPServer()
@@ -290,8 +295,8 @@ static bool ThreadHTTP(struct event_base* base)
/** Bind HTTP server to specified addresses */
static bool HTTPBindAddresses(struct evhttp* http)
{
- int http_port = gArgs.GetArg("-rpcport", BaseParams().RPCPort());
- std::vector<std::pair<std::string, uint16_t> > endpoints;
+ uint16_t http_port{static_cast<uint16_t>(gArgs.GetIntArg("-rpcport", BaseParams().RPCPort()))};
+ std::vector<std::pair<std::string, uint16_t>> endpoints;
// Determine what addresses to bind to
if (!(gArgs.IsArgSet("-rpcallowip") && gArgs.IsArgSet("-rpcbind"))) { // Default to loopback if not allowing external IPs
@@ -305,7 +310,7 @@ static bool HTTPBindAddresses(struct evhttp* http)
}
} else if (gArgs.IsArgSet("-rpcbind")) { // Specific bind address
for (const std::string& strRPCBind : gArgs.GetArgs("-rpcbind")) {
- int port = http_port;
+ uint16_t port{http_port};
std::string host;
SplitHostPort(strRPCBind, port, host);
endpoints.push_back(std::make_pair(host, port));
@@ -333,16 +338,13 @@ static bool HTTPBindAddresses(struct evhttp* http)
static void HTTPWorkQueueRun(WorkQueue<HTTPClosure>* queue, int worker_num)
{
util::ThreadRename(strprintf("httpworker.%i", worker_num));
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::NET_HTTP_SERVER_WORKER);
queue->Run();
}
/** libevent event log callback */
static void libevent_log_cb(int severity, const char *msg)
{
-#ifndef EVENT_LOG_WARN
-// EVENT_LOG_WARN was added in 2.0.19; but before then _EVENT_LOG_WARN existed.
-# define EVENT_LOG_WARN _EVENT_LOG_WARN
-#endif
if (severity >= EVENT_LOG_WARN) // Log warn messages and higher without debug category
LogPrintf("libevent: %s\n", msg);
else
@@ -379,7 +381,7 @@ bool InitHTTPServer()
return false;
}
- evhttp_set_timeout(http, gArgs.GetArg("-rpcservertimeout", DEFAULT_HTTP_SERVER_TIMEOUT));
+ evhttp_set_timeout(http, gArgs.GetIntArg("-rpcservertimeout", DEFAULT_HTTP_SERVER_TIMEOUT));
evhttp_set_max_headers_size(http, MAX_HEADERS_SIZE);
evhttp_set_max_body_size(http, MAX_SIZE);
evhttp_set_gencb(http, http_request_cb, nullptr);
@@ -390,10 +392,10 @@ bool InitHTTPServer()
}
LogPrint(BCLog::HTTP, "Initialized HTTP server\n");
- int workQueueDepth = std::max((long)gArgs.GetArg("-rpcworkqueue", DEFAULT_HTTP_WORKQUEUE), 1L);
+ int workQueueDepth = std::max((long)gArgs.GetIntArg("-rpcworkqueue", DEFAULT_HTTP_WORKQUEUE), 1L);
LogPrintf("HTTP: creating work queue of depth %d\n", workQueueDepth);
- workQueue = new WorkQueue<HTTPClosure>(workQueueDepth);
+ g_work_queue = std::make_unique<WorkQueue<HTTPClosure>>(workQueueDepth);
// transfer ownership to eventBase/HTTP via .release()
eventBase = base_ctr.release();
eventHTTP = http_ctr.release();
@@ -420,12 +422,12 @@ static std::vector<std::thread> g_thread_http_workers;
void StartHTTPServer()
{
LogPrint(BCLog::HTTP, "Starting HTTP server\n");
- int rpcThreads = std::max((long)gArgs.GetArg("-rpcthreads", DEFAULT_HTTP_THREADS), 1L);
+ int rpcThreads = std::max((long)gArgs.GetIntArg("-rpcthreads", DEFAULT_HTTP_THREADS), 1L);
LogPrintf("HTTP: starting %d worker threads\n", rpcThreads);
g_thread_http = std::thread(ThreadHTTP, eventBase);
for (int i = 0; i < rpcThreads; i++) {
- g_thread_http_workers.emplace_back(HTTPWorkQueueRun, workQueue, i);
+ g_thread_http_workers.emplace_back(HTTPWorkQueueRun, g_work_queue.get(), i);
}
}
@@ -436,21 +438,20 @@ void InterruptHTTPServer()
// Reject requests on current connections
evhttp_set_gencb(eventHTTP, http_reject_request_cb, nullptr);
}
- if (workQueue)
- workQueue->Interrupt();
+ if (g_work_queue) {
+ g_work_queue->Interrupt();
+ }
}
void StopHTTPServer()
{
LogPrint(BCLog::HTTP, "Stopping HTTP server\n");
- if (workQueue) {
+ if (g_work_queue) {
LogPrint(BCLog::HTTP, "Waiting for HTTP worker threads to exit\n");
- for (auto& thread: g_thread_http_workers) {
+ for (auto& thread : g_thread_http_workers) {
thread.join();
}
g_thread_http_workers.clear();
- delete workQueue;
- workQueue = nullptr;
}
// Unlisten sockets, these are what make the event loop running, which means
// that after this and all connections are closed the event loop will quit.
@@ -470,6 +471,7 @@ void StopHTTPServer()
event_base_free(eventBase);
eventBase = nullptr;
}
+ g_work_queue.reset();
LogPrint(BCLog::HTTP, "Stopped HTTP server\n");
}
@@ -599,7 +601,13 @@ CService HTTPRequest::GetPeer() const
// evhttp retains ownership over returned address string
const char* address = "";
uint16_t port = 0;
+
+#ifdef HAVE_EVHTTP_CONNECTION_GET_PEER_CONST_CHAR
+ evhttp_connection_get_peer(con, &address, &port);
+#else
evhttp_connection_get_peer(con, (char**)&address, &port);
+#endif // HAVE_EVHTTP_CONNECTION_GET_PEER_CONST_CHAR
+
peer = LookupNumeric(address, port);
}
return peer;
diff --git a/src/i2p.cpp b/src/i2p.cpp
index 42270deaeb..ccba14d63d 100644
--- a/src/i2p.cpp
+++ b/src/i2p.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020-2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -20,6 +20,7 @@
#include <util/system.h>
#include <chrono>
+#include <memory>
#include <stdexcept>
#include <string>
@@ -115,7 +116,8 @@ namespace sam {
Session::Session(const fs::path& private_key_file,
const CService& control_host,
CThreadInterrupt* interrupt)
- : m_private_key_file(private_key_file), m_control_host(control_host), m_interrupt(interrupt)
+ : m_private_key_file(private_key_file), m_control_host(control_host), m_interrupt(interrupt),
+ m_control_sock(std::make_unique<Sock>(INVALID_SOCKET))
{
}
@@ -145,7 +147,9 @@ bool Session::Accept(Connection& conn)
try {
while (!*m_interrupt) {
Sock::Event occurred;
- conn.sock.Wait(MAX_WAIT_FOR_IO, Sock::RECV, &occurred);
+ if (!conn.sock->Wait(MAX_WAIT_FOR_IO, Sock::RECV, &occurred)) {
+ throw std::runtime_error("wait on socket failed");
+ }
if ((occurred & Sock::RECV) == 0) {
// Timeout, no incoming connections within MAX_WAIT_FOR_IO.
@@ -153,9 +157,9 @@ bool Session::Accept(Connection& conn)
}
const std::string& peer_dest =
- conn.sock.RecvUntilTerminator('\n', MAX_WAIT_FOR_IO, *m_interrupt);
+ conn.sock->RecvUntilTerminator('\n', MAX_WAIT_FOR_IO, *m_interrupt, MAX_MSG_SIZE);
- conn.peer = CService(DestB64ToAddr(peer_dest), Params().GetDefaultPort());
+ conn.peer = CService(DestB64ToAddr(peer_dest), I2P_SAM31_PORT);
return true;
}
@@ -168,10 +172,17 @@ bool Session::Accept(Connection& conn)
bool Session::Connect(const CService& to, Connection& conn, bool& proxy_error)
{
+ // Refuse connecting to arbitrary ports. We don't specify any destination port to the SAM proxy
+ // when connecting (SAM 3.1 does not use ports) and it forces/defaults it to I2P_SAM31_PORT.
+ if (to.GetPort() != I2P_SAM31_PORT) {
+ proxy_error = false;
+ return false;
+ }
+
proxy_error = true;
std::string session_id;
- Sock sock;
+ std::unique_ptr<Sock> sock;
conn.peer = to;
try {
@@ -184,12 +195,12 @@ bool Session::Connect(const CService& to, Connection& conn, bool& proxy_error)
}
const Reply& lookup_reply =
- SendRequestAndGetReply(sock, strprintf("NAMING LOOKUP NAME=%s", to.ToStringIP()));
+ SendRequestAndGetReply(*sock, strprintf("NAMING LOOKUP NAME=%s", to.ToStringIP()));
const std::string& dest = lookup_reply.Get("VALUE");
const Reply& connect_reply = SendRequestAndGetReply(
- sock, strprintf("STREAM CONNECT ID=%s DESTINATION=%s SILENT=false", session_id, dest),
+ *sock, strprintf("STREAM CONNECT ID=%s DESTINATION=%s SILENT=false", session_id, dest),
false);
const std::string& result = connect_reply.Get("RESULT");
@@ -252,7 +263,7 @@ Session::Reply Session::SendRequestAndGetReply(const Sock& sock,
// signaled.
static constexpr auto recv_timeout = 3min;
- reply.full = sock.RecvUntilTerminator('\n', recv_timeout, *m_interrupt);
+ reply.full = sock.RecvUntilTerminator('\n', recv_timeout, *m_interrupt, MAX_MSG_SIZE);
for (const auto& kv : spanparsing::Split(reply.full, ' ')) {
const auto& pos = std::find(kv.begin(), kv.end(), '=');
@@ -271,7 +282,7 @@ Session::Reply Session::SendRequestAndGetReply(const Sock& sock,
return reply;
}
-Sock Session::Hello() const
+std::unique_ptr<Sock> Session::Hello() const
{
auto sock = CreateSock(m_control_host);
@@ -279,13 +290,13 @@ Sock Session::Hello() const
throw std::runtime_error("Cannot create socket");
}
- if (!ConnectSocketDirectly(m_control_host, sock->Get(), nConnectTimeout, true)) {
+ if (!ConnectSocketDirectly(m_control_host, *sock, nConnectTimeout, true)) {
throw std::runtime_error(strprintf("Cannot connect to %s", m_control_host.ToString()));
}
SendRequestAndGetReply(*sock, "HELLO VERSION MIN=3.1 MAX=3.1");
- return std::move(*sock);
+ return sock;
}
void Session::CheckControlSock()
@@ -293,7 +304,7 @@ void Session::CheckControlSock()
LOCK(m_mutex);
std::string errmsg;
- if (!m_control_sock.IsConnected(errmsg)) {
+ if (!m_control_sock->IsConnected(errmsg)) {
Log("Control socket error: %s", errmsg);
Disconnect();
}
@@ -317,7 +328,7 @@ void Session::GenerateAndSavePrivateKey(const Sock& sock)
if (!WriteBinaryFile(m_private_key_file,
std::string(m_private_key.begin(), m_private_key.end()))) {
throw std::runtime_error(
- strprintf("Cannot save I2P private key to %s", m_private_key_file));
+ strprintf("Cannot save I2P private key to %s", fs::quoted(fs::PathToString(m_private_key_file))));
}
}
@@ -341,28 +352,28 @@ Binary Session::MyDestination() const
void Session::CreateIfNotCreatedAlready()
{
std::string errmsg;
- if (m_control_sock.IsConnected(errmsg)) {
+ if (m_control_sock->IsConnected(errmsg)) {
return;
}
Log("Creating SAM session with %s", m_control_host.ToString());
- Sock sock = Hello();
+ auto sock = Hello();
const auto& [read_ok, data] = ReadBinaryFile(m_private_key_file);
if (read_ok) {
m_private_key.assign(data.begin(), data.end());
} else {
- GenerateAndSavePrivateKey(sock);
+ GenerateAndSavePrivateKey(*sock);
}
const std::string& session_id = GetRandHash().GetHex().substr(0, 10); // full is an overkill, too verbose in the logs
const std::string& private_key_b64 = SwapBase64(EncodeBase64(m_private_key));
- SendRequestAndGetReply(sock, strprintf("SESSION CREATE STYLE=STREAM ID=%s DESTINATION=%s",
- session_id, private_key_b64));
+ SendRequestAndGetReply(*sock, strprintf("SESSION CREATE STYLE=STREAM ID=%s DESTINATION=%s",
+ session_id, private_key_b64));
- m_my_addr = CService(DestBinToAddr(MyDestination()), Params().GetDefaultPort());
+ m_my_addr = CService(DestBinToAddr(MyDestination()), I2P_SAM31_PORT);
m_session_id = session_id;
m_control_sock = std::move(sock);
@@ -370,12 +381,12 @@ void Session::CreateIfNotCreatedAlready()
m_my_addr.ToString());
}
-Sock Session::StreamAccept()
+std::unique_ptr<Sock> Session::StreamAccept()
{
- Sock sock = Hello();
+ auto sock = Hello();
const Reply& reply = SendRequestAndGetReply(
- sock, strprintf("STREAM ACCEPT ID=%s SILENT=false", m_session_id), false);
+ *sock, strprintf("STREAM ACCEPT ID=%s SILENT=false", m_session_id), false);
const std::string& result = reply.Get("RESULT");
@@ -393,14 +404,14 @@ Sock Session::StreamAccept()
void Session::Disconnect()
{
- if (m_control_sock.Get() != INVALID_SOCKET) {
+ if (m_control_sock->Get() != INVALID_SOCKET) {
if (m_session_id.empty()) {
Log("Destroying incomplete session");
} else {
Log("Destroying session %s", m_session_id);
}
}
- m_control_sock.Reset();
+ m_control_sock->Reset();
m_session_id.clear();
}
} // namespace sam
diff --git a/src/i2p.h b/src/i2p.h
index 8fafe0a4d0..b211d4f5e4 100644
--- a/src/i2p.h
+++ b/src/i2p.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2020-2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,6 +12,7 @@
#include <threadinterrupt.h>
#include <util/sock.h>
+#include <memory>
#include <optional>
#include <string>
#include <unordered_map>
@@ -29,7 +30,7 @@ using Binary = std::vector<uint8_t>;
*/
struct Connection {
/** Connected socket. */
- Sock sock;
+ std::unique_ptr<Sock> sock;
/** Our I2P address. */
CService me;
@@ -41,6 +42,14 @@ struct Connection {
namespace sam {
/**
+ * The maximum size of an incoming message from the I2P SAM proxy (in bytes).
+ * Used to avoid a runaway proxy from sending us an "unlimited" amount of data without a terminator.
+ * The longest known message is ~1400 bytes, so this is high enough not to be triggered during
+ * normal operation, yet low enough to avoid a malicious proxy from filling our memory.
+ */
+static constexpr size_t MAX_MSG_SIZE{65536};
+
+/**
* I2P SAM session.
*/
class Session
@@ -158,7 +167,7 @@ private:
* @return a connected socket
* @throws std::runtime_error if an error occurs
*/
- Sock Hello() const EXCLUSIVE_LOCKS_REQUIRED(m_mutex);
+ std::unique_ptr<Sock> Hello() const EXCLUSIVE_LOCKS_REQUIRED(m_mutex);
/**
* Check the control socket for errors and possibly disconnect.
@@ -196,10 +205,11 @@ private:
/**
* Open a new connection to the SAM proxy and issue "STREAM ACCEPT" request using the existing
- * session id. Return the idle socket that is waiting for a peer to connect to us.
+ * session id.
+ * @return the idle socket that is waiting for a peer to connect to us
* @throws std::runtime_error if an error occurs
*/
- Sock StreamAccept() EXCLUSIVE_LOCKS_REQUIRED(m_mutex);
+ std::unique_ptr<Sock> StreamAccept() EXCLUSIVE_LOCKS_REQUIRED(m_mutex);
/**
* Destroy the session, closing the internally used sockets.
@@ -240,7 +250,7 @@ private:
* connections and make outgoing ones.
* See https://geti2p.net/en/docs/api/samv3
*/
- Sock m_control_sock GUARDED_BY(m_mutex);
+ std::unique_ptr<Sock> m_control_sock GUARDED_BY(m_mutex);
/**
* Our .b32.i2p address.
@@ -257,4 +267,4 @@ private:
} // namespace sam
} // namespace i2p
-#endif /* BITCOIN_I2P_H */
+#endif // BITCOIN_I2P_H
diff --git a/src/index/base.cpp b/src/index/base.cpp
index 25644c3b41..8fe30f8960 100644
--- a/src/index/base.cpp
+++ b/src/index/base.cpp
@@ -1,18 +1,22 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chainparams.h>
#include <index/base.h>
+#include <node/blockstorage.h>
#include <node/ui_interface.h>
#include <shutdown.h>
#include <tinyformat.h>
-#include <util/system.h>
+#include <util/syscall_sandbox.h>
+#include <util/thread.h>
#include <util/translation.h>
-#include <validation.h>
+#include <validation.h> // For g_chainman
#include <warnings.h>
-constexpr char DB_BEST_BLOCK = 'B';
+using node::ReadBlockFromDisk;
+
+constexpr uint8_t DB_BEST_BLOCK{'B'};
constexpr int64_t SYNC_LOG_INTERVAL = 30; // seconds
constexpr int64_t SYNC_LOCATOR_WRITE_INTERVAL = 30; // seconds
@@ -59,70 +63,73 @@ bool BaseIndex::Init()
}
LOCK(cs_main);
+ CChain& active_chain = m_chainstate->m_chain;
if (locator.IsNull()) {
m_best_block_index = nullptr;
} else {
- m_best_block_index = g_chainman.m_blockman.FindForkInGlobalIndex(::ChainActive(), locator);
+ m_best_block_index = m_chainstate->FindForkInGlobalIndex(locator);
}
- m_synced = m_best_block_index.load() == ::ChainActive().Tip();
+ m_synced = m_best_block_index.load() == active_chain.Tip();
if (!m_synced) {
bool prune_violation = false;
if (!m_best_block_index) {
// index is not built yet
// make sure we have all block data back to the genesis
- const CBlockIndex* block = ::ChainActive().Tip();
+ const CBlockIndex* block = active_chain.Tip();
while (block->pprev && (block->pprev->nStatus & BLOCK_HAVE_DATA)) {
block = block->pprev;
}
- prune_violation = block != ::ChainActive().Genesis();
+ prune_violation = block != active_chain.Genesis();
}
// in case the index has a best block set and is not fully synced
// check if we have the required blocks to continue building the index
else {
const CBlockIndex* block_to_test = m_best_block_index.load();
- if (!ChainActive().Contains(block_to_test)) {
+ if (!active_chain.Contains(block_to_test)) {
// if the bestblock is not part of the mainchain, find the fork
// and make sure we have all data down to the fork
- block_to_test = ::ChainActive().FindFork(block_to_test);
+ block_to_test = active_chain.FindFork(block_to_test);
}
- const CBlockIndex* block = ::ChainActive().Tip();
+ const CBlockIndex* block = active_chain.Tip();
prune_violation = true;
// check backwards from the tip if we have all block data until we reach the indexes bestblock
- while (block_to_test && block->pprev && (block->pprev->nStatus & BLOCK_HAVE_DATA)) {
+ while (block_to_test && block && (block->nStatus & BLOCK_HAVE_DATA)) {
if (block_to_test == block) {
prune_violation = false;
break;
}
+ // block->pprev must exist at this point, since block_to_test is part of the chain
+ // and thus must be encountered when going backwards from the tip
+ assert(block->pprev);
block = block->pprev;
}
}
if (prune_violation) {
- // throw error and graceful shutdown if we can't build the index
- FatalError("%s: %s best block of the index goes beyond pruned data. Please disable the index or reindex (which will download the whole blockchain again)", __func__, GetName());
- return false;
+ return InitError(strprintf(Untranslated("%s best block of the index goes beyond pruned data. Please disable the index or reindex (which will download the whole blockchain again)"), GetName()));
}
}
return true;
}
-static const CBlockIndex* NextSyncBlock(const CBlockIndex* pindex_prev) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+static const CBlockIndex* NextSyncBlock(const CBlockIndex* pindex_prev, CChain& chain) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
{
AssertLockHeld(cs_main);
if (!pindex_prev) {
- return ::ChainActive().Genesis();
+ return chain.Genesis();
}
- const CBlockIndex* pindex = ::ChainActive().Next(pindex_prev);
+ const CBlockIndex* pindex = chain.Next(pindex_prev);
if (pindex) {
return pindex;
}
- return ::ChainActive().Next(::ChainActive().FindFork(pindex_prev));
+ return chain.Next(chain.FindFork(pindex_prev));
}
void BaseIndex::ThreadSync()
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::TX_INDEX);
const CBlockIndex* pindex = m_best_block_index.load();
if (!m_synced) {
auto& consensus_params = Params().GetConsensus();
@@ -141,7 +148,7 @@ void BaseIndex::ThreadSync()
{
LOCK(cs_main);
- const CBlockIndex* pindex_next = NextSyncBlock(pindex);
+ const CBlockIndex* pindex_next = NextSyncBlock(pindex, m_chainstate->m_chain);
if (!pindex_next) {
m_best_block_index = pindex;
m_synced = true;
@@ -204,7 +211,12 @@ bool BaseIndex::Commit()
bool BaseIndex::CommitInternal(CDBBatch& batch)
{
LOCK(cs_main);
- GetDB().WriteBestBlock(batch, ::ChainActive().GetLocator(m_best_block_index));
+ // Don't commit anything if we haven't indexed any block yet
+ // (this could happen if init is interrupted).
+ if (m_best_block_index == nullptr) {
+ return false;
+ }
+ GetDB().WriteBestBlock(batch, m_chainstate->m_chain.GetLocator(m_best_block_index));
return true;
}
@@ -280,7 +292,7 @@ void BaseIndex::ChainStateFlushed(const CBlockLocator& locator)
const CBlockIndex* locator_tip_index;
{
LOCK(cs_main);
- locator_tip_index = g_chainman.m_blockman.LookupBlockIndex(locator_tip_hash);
+ locator_tip_index = m_chainstate->m_blockman.LookupBlockIndex(locator_tip_hash);
}
if (!locator_tip_index) {
@@ -319,9 +331,9 @@ bool BaseIndex::BlockUntilSyncedToCurrentChain() const
{
// Skip the queue-draining stuff if we know we're caught up with
- // ::ChainActive().Tip().
+ // m_chain.Tip().
LOCK(cs_main);
- const CBlockIndex* chain_tip = ::ChainActive().Tip();
+ const CBlockIndex* chain_tip = m_chainstate->m_chain.Tip();
const CBlockIndex* best_block_index = m_best_block_index.load();
if (best_block_index->GetAncestor(chain_tip->nHeight) == chain_tip) {
return true;
@@ -338,18 +350,18 @@ void BaseIndex::Interrupt()
m_interrupt();
}
-void BaseIndex::Start()
+bool BaseIndex::Start(CChainState& active_chainstate)
{
+ m_chainstate = &active_chainstate;
// Need to register this ValidationInterface before running Init(), so that
// callbacks are not missed if Init sets m_synced to true.
RegisterValidationInterface(this);
if (!Init()) {
- FatalError("%s: %s failed to initialize", __func__, GetName());
- return;
+ return false;
}
- m_thread_sync = std::thread(&TraceThread<std::function<void()>>, GetName(),
- std::bind(&BaseIndex::ThreadSync, this));
+ m_thread_sync = std::thread(&util::TraceThread, GetName(), [this] { ThreadSync(); });
+ return true;
}
void BaseIndex::Stop()
diff --git a/src/index/base.h b/src/index/base.h
index 8559e3cb64..66149686f0 100644
--- a/src/index/base.h
+++ b/src/index/base.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,12 +6,12 @@
#define BITCOIN_INDEX_BASE_H
#include <dbwrapper.h>
-#include <primitives/block.h>
-#include <primitives/transaction.h>
#include <threadinterrupt.h>
#include <validationinterface.h>
+class CBlock;
class CBlockIndex;
+class CChainState;
struct IndexSummary {
std::string name;
@@ -75,14 +75,17 @@ private:
/// to a chain reorganization), the index must halt until Commit succeeds or else it could end up
/// getting corrupted.
bool Commit();
-
protected:
+ CChainState* m_chainstate{nullptr};
+
void BlockConnected(const std::shared_ptr<const CBlock>& block, const CBlockIndex* pindex) override;
void ChainStateFlushed(const CBlockLocator& locator) override;
+ const CBlockIndex* CurrentIndex() { return m_best_block_index.load(); };
+
/// Initialize internal state from the database and block index.
- virtual bool Init();
+ [[nodiscard]] virtual bool Init();
/// Write update index entries for a newly connected block.
virtual bool WriteBlock(const CBlock& block, const CBlockIndex* pindex) { return true; }
@@ -109,13 +112,13 @@ public:
/// sync once and only needs to process blocks in the ValidationInterface
/// queue. If the index is catching up from far behind, this method does
/// not block and immediately returns false.
- bool BlockUntilSyncedToCurrentChain() const;
+ bool BlockUntilSyncedToCurrentChain() const LOCKS_EXCLUDED(::cs_main);
void Interrupt();
/// Start initializes the sync state and registers the instance as a
/// ValidationInterface so that it stays in sync with blockchain updates.
- void Start();
+ [[nodiscard]] bool Start(CChainState& active_chainstate);
/// Stops the instance from staying in sync with blockchain updates.
void Stop();
diff --git a/src/index/blockfilterindex.cpp b/src/index/blockfilterindex.cpp
index 4f61bbeabd..4f99eddfd7 100644
--- a/src/index/blockfilterindex.cpp
+++ b/src/index/blockfilterindex.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,8 +6,10 @@
#include <dbwrapper.h>
#include <index/blockfilterindex.h>
+#include <node/blockstorage.h>
#include <util/system.h>
-#include <validation.h>
+
+using node::UndoReadFromDisk;
/* The index database stores three items for each block: the disk location of the encoded filter,
* its dSHA256 hash, and the header. Those belonging to blocks on the active chain are indexed by
@@ -24,9 +26,9 @@
* as big-endian so that sequential reads of filters by height are fast.
* Keys for the hash index have the type [DB_BLOCK_HASH, uint256].
*/
-constexpr char DB_BLOCK_HASH = 's';
-constexpr char DB_BLOCK_HEIGHT = 't';
-constexpr char DB_FILTER_POS = 'P';
+constexpr uint8_t DB_BLOCK_HASH{'s'};
+constexpr uint8_t DB_BLOCK_HEIGHT{'t'};
+constexpr uint8_t DB_FILTER_POS{'P'};
constexpr unsigned int MAX_FLTR_FILE_SIZE = 0x1000000; // 16 MiB
/** The pre-allocation chunk size for fltr?????.dat files */
@@ -63,7 +65,7 @@ struct DBHeightKey {
template<typename Stream>
void Unserialize(Stream& s)
{
- char prefix = ser_readdata8(s);
+ const uint8_t prefix{ser_readdata8(s)};
if (prefix != DB_BLOCK_HEIGHT) {
throw std::ios_base::failure("Invalid format for block filter index DB height key");
}
@@ -77,7 +79,7 @@ struct DBHashKey {
explicit DBHashKey(const uint256& hash_in) : hash(hash_in) {}
SERIALIZE_METHODS(DBHashKey, obj) {
- char prefix = DB_BLOCK_HASH;
+ uint8_t prefix{DB_BLOCK_HASH};
READWRITE(prefix);
if (prefix != DB_BLOCK_HASH) {
throw std::ios_base::failure("Invalid format for block filter index DB hash key");
@@ -98,12 +100,12 @@ BlockFilterIndex::BlockFilterIndex(BlockFilterType filter_type,
const std::string& filter_name = BlockFilterTypeName(filter_type);
if (filter_name.empty()) throw std::invalid_argument("unknown filter_type");
- fs::path path = GetDataDir() / "indexes" / "blockfilter" / filter_name;
+ fs::path path = gArgs.GetDataDirNet() / "indexes" / "blockfilter" / filter_name;
fs::create_directories(path);
m_name = filter_name + " block filter index";
- m_db = MakeUnique<BaseIndex::DB>(path / "db", n_cache_size, f_memory, f_wipe);
- m_filter_fileseq = MakeUnique<FlatFileSeq>(std::move(path), "fltr", FLTR_FILE_CHUNK_SIZE);
+ m_db = std::make_unique<BaseIndex::DB>(path / "db", n_cache_size, f_memory, f_wipe);
+ m_filter_fileseq = std::make_unique<FlatFileSeq>(std::move(path), "fltr", FLTR_FILE_CHUNK_SIZE);
}
bool BlockFilterIndex::Init()
@@ -149,7 +151,7 @@ bool BlockFilterIndex::ReadFilterFromDisk(const FlatFilePos& pos, BlockFilter& f
}
uint256 block_hash;
- std::vector<unsigned char> encoded_filter;
+ std::vector<uint8_t> encoded_filter;
try {
filein >> block_hash >> encoded_filter;
filter = BlockFilter(GetFilterType(), block_hash, std::move(encoded_filter));
diff --git a/src/index/blockfilterindex.h b/src/index/blockfilterindex.h
index 221ac02c9e..a049019c02 100644
--- a/src/index/blockfilterindex.h
+++ b/src/index/blockfilterindex.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/index/coinstatsindex.cpp b/src/index/coinstatsindex.cpp
new file mode 100644
index 0000000000..7d4860b20b
--- /dev/null
+++ b/src/index/coinstatsindex.cpp
@@ -0,0 +1,485 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chainparams.h>
+#include <coins.h>
+#include <crypto/muhash.h>
+#include <index/coinstatsindex.h>
+#include <node/blockstorage.h>
+#include <serialize.h>
+#include <txdb.h>
+#include <undo.h>
+#include <validation.h>
+
+using node::CCoinsStats;
+using node::GetBogoSize;
+using node::ReadBlockFromDisk;
+using node::TxOutSer;
+using node::UndoReadFromDisk;
+
+static constexpr uint8_t DB_BLOCK_HASH{'s'};
+static constexpr uint8_t DB_BLOCK_HEIGHT{'t'};
+static constexpr uint8_t DB_MUHASH{'M'};
+
+namespace {
+
+struct DBVal {
+ uint256 muhash;
+ uint64_t transaction_output_count;
+ uint64_t bogo_size;
+ CAmount total_amount;
+ CAmount total_subsidy;
+ CAmount total_unspendable_amount;
+ CAmount total_prevout_spent_amount;
+ CAmount total_new_outputs_ex_coinbase_amount;
+ CAmount total_coinbase_amount;
+ CAmount total_unspendables_genesis_block;
+ CAmount total_unspendables_bip30;
+ CAmount total_unspendables_scripts;
+ CAmount total_unspendables_unclaimed_rewards;
+
+ SERIALIZE_METHODS(DBVal, obj)
+ {
+ READWRITE(obj.muhash);
+ READWRITE(obj.transaction_output_count);
+ READWRITE(obj.bogo_size);
+ READWRITE(obj.total_amount);
+ READWRITE(obj.total_subsidy);
+ READWRITE(obj.total_unspendable_amount);
+ READWRITE(obj.total_prevout_spent_amount);
+ READWRITE(obj.total_new_outputs_ex_coinbase_amount);
+ READWRITE(obj.total_coinbase_amount);
+ READWRITE(obj.total_unspendables_genesis_block);
+ READWRITE(obj.total_unspendables_bip30);
+ READWRITE(obj.total_unspendables_scripts);
+ READWRITE(obj.total_unspendables_unclaimed_rewards);
+ }
+};
+
+struct DBHeightKey {
+ int height;
+
+ explicit DBHeightKey(int height_in) : height(height_in) {}
+
+ template <typename Stream>
+ void Serialize(Stream& s) const
+ {
+ ser_writedata8(s, DB_BLOCK_HEIGHT);
+ ser_writedata32be(s, height);
+ }
+
+ template <typename Stream>
+ void Unserialize(Stream& s)
+ {
+ const uint8_t prefix{ser_readdata8(s)};
+ if (prefix != DB_BLOCK_HEIGHT) {
+ throw std::ios_base::failure("Invalid format for coinstatsindex DB height key");
+ }
+ height = ser_readdata32be(s);
+ }
+};
+
+struct DBHashKey {
+ uint256 block_hash;
+
+ explicit DBHashKey(const uint256& hash_in) : block_hash(hash_in) {}
+
+ SERIALIZE_METHODS(DBHashKey, obj)
+ {
+ uint8_t prefix{DB_BLOCK_HASH};
+ READWRITE(prefix);
+ if (prefix != DB_BLOCK_HASH) {
+ throw std::ios_base::failure("Invalid format for coinstatsindex DB hash key");
+ }
+
+ READWRITE(obj.block_hash);
+ }
+};
+
+}; // namespace
+
+std::unique_ptr<CoinStatsIndex> g_coin_stats_index;
+
+CoinStatsIndex::CoinStatsIndex(size_t n_cache_size, bool f_memory, bool f_wipe)
+{
+ fs::path path{gArgs.GetDataDirNet() / "indexes" / "coinstats"};
+ fs::create_directories(path);
+
+ m_db = std::make_unique<CoinStatsIndex::DB>(path / "db", n_cache_size, f_memory, f_wipe);
+}
+
+bool CoinStatsIndex::WriteBlock(const CBlock& block, const CBlockIndex* pindex)
+{
+ CBlockUndo block_undo;
+ const CAmount block_subsidy{GetBlockSubsidy(pindex->nHeight, Params().GetConsensus())};
+ m_total_subsidy += block_subsidy;
+
+ // Ignore genesis block
+ if (pindex->nHeight > 0) {
+ if (!UndoReadFromDisk(block_undo, pindex)) {
+ return false;
+ }
+
+ std::pair<uint256, DBVal> read_out;
+ if (!m_db->Read(DBHeightKey(pindex->nHeight - 1), read_out)) {
+ return false;
+ }
+
+ uint256 expected_block_hash{pindex->pprev->GetBlockHash()};
+ if (read_out.first != expected_block_hash) {
+ LogPrintf("WARNING: previous block header belongs to unexpected block %s; expected %s\n",
+ read_out.first.ToString(), expected_block_hash.ToString());
+
+ if (!m_db->Read(DBHashKey(expected_block_hash), read_out)) {
+ return error("%s: previous block header not found; expected %s",
+ __func__, expected_block_hash.ToString());
+ }
+ }
+
+ // TODO: Deduplicate BIP30 related code
+ bool is_bip30_block{(pindex->nHeight == 91722 && pindex->GetBlockHash() == uint256S("0x00000000000271a2dc26e7667f8419f2e15416dc6955e5a6c6cdf3f2574dd08e")) ||
+ (pindex->nHeight == 91812 && pindex->GetBlockHash() == uint256S("0x00000000000af0aed4792b1acee3d966af36cf5def14935db8de83d6f9306f2f"))};
+
+ // Add the new utxos created from the block
+ for (size_t i = 0; i < block.vtx.size(); ++i) {
+ const auto& tx{block.vtx.at(i)};
+
+ // Skip duplicate txid coinbase transactions (BIP30).
+ if (is_bip30_block && tx->IsCoinBase()) {
+ m_total_unspendable_amount += block_subsidy;
+ m_total_unspendables_bip30 += block_subsidy;
+ continue;
+ }
+
+ for (uint32_t j = 0; j < tx->vout.size(); ++j) {
+ const CTxOut& out{tx->vout[j]};
+ Coin coin{out, pindex->nHeight, tx->IsCoinBase()};
+ COutPoint outpoint{tx->GetHash(), j};
+
+ // Skip unspendable coins
+ if (coin.out.scriptPubKey.IsUnspendable()) {
+ m_total_unspendable_amount += coin.out.nValue;
+ m_total_unspendables_scripts += coin.out.nValue;
+ continue;
+ }
+
+ m_muhash.Insert(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ if (tx->IsCoinBase()) {
+ m_total_coinbase_amount += coin.out.nValue;
+ } else {
+ m_total_new_outputs_ex_coinbase_amount += coin.out.nValue;
+ }
+
+ ++m_transaction_output_count;
+ m_total_amount += coin.out.nValue;
+ m_bogo_size += GetBogoSize(coin.out.scriptPubKey);
+ }
+
+ // The coinbase tx has no undo data since no former output is spent
+ if (!tx->IsCoinBase()) {
+ const auto& tx_undo{block_undo.vtxundo.at(i - 1)};
+
+ for (size_t j = 0; j < tx_undo.vprevout.size(); ++j) {
+ Coin coin{tx_undo.vprevout[j]};
+ COutPoint outpoint{tx->vin[j].prevout.hash, tx->vin[j].prevout.n};
+
+ m_muhash.Remove(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ m_total_prevout_spent_amount += coin.out.nValue;
+
+ --m_transaction_output_count;
+ m_total_amount -= coin.out.nValue;
+ m_bogo_size -= GetBogoSize(coin.out.scriptPubKey);
+ }
+ }
+ }
+ } else {
+ // genesis block
+ m_total_unspendable_amount += block_subsidy;
+ m_total_unspendables_genesis_block += block_subsidy;
+ }
+
+ // If spent prevouts + block subsidy are still a higher amount than
+ // new outputs + coinbase + current unspendable amount this means
+ // the miner did not claim the full block reward. Unclaimed block
+ // rewards are also unspendable.
+ const CAmount unclaimed_rewards{(m_total_prevout_spent_amount + m_total_subsidy) - (m_total_new_outputs_ex_coinbase_amount + m_total_coinbase_amount + m_total_unspendable_amount)};
+ m_total_unspendable_amount += unclaimed_rewards;
+ m_total_unspendables_unclaimed_rewards += unclaimed_rewards;
+
+ std::pair<uint256, DBVal> value;
+ value.first = pindex->GetBlockHash();
+ value.second.transaction_output_count = m_transaction_output_count;
+ value.second.bogo_size = m_bogo_size;
+ value.second.total_amount = m_total_amount;
+ value.second.total_subsidy = m_total_subsidy;
+ value.second.total_unspendable_amount = m_total_unspendable_amount;
+ value.second.total_prevout_spent_amount = m_total_prevout_spent_amount;
+ value.second.total_new_outputs_ex_coinbase_amount = m_total_new_outputs_ex_coinbase_amount;
+ value.second.total_coinbase_amount = m_total_coinbase_amount;
+ value.second.total_unspendables_genesis_block = m_total_unspendables_genesis_block;
+ value.second.total_unspendables_bip30 = m_total_unspendables_bip30;
+ value.second.total_unspendables_scripts = m_total_unspendables_scripts;
+ value.second.total_unspendables_unclaimed_rewards = m_total_unspendables_unclaimed_rewards;
+
+ uint256 out;
+ m_muhash.Finalize(out);
+ value.second.muhash = out;
+
+ CDBBatch batch(*m_db);
+ batch.Write(DBHeightKey(pindex->nHeight), value);
+ batch.Write(DB_MUHASH, m_muhash);
+ return m_db->WriteBatch(batch);
+}
+
+static bool CopyHeightIndexToHashIndex(CDBIterator& db_it, CDBBatch& batch,
+ const std::string& index_name,
+ int start_height, int stop_height)
+{
+ DBHeightKey key{start_height};
+ db_it.Seek(key);
+
+ for (int height = start_height; height <= stop_height; ++height) {
+ if (!db_it.GetKey(key) || key.height != height) {
+ return error("%s: unexpected key in %s: expected (%c, %d)",
+ __func__, index_name, DB_BLOCK_HEIGHT, height);
+ }
+
+ std::pair<uint256, DBVal> value;
+ if (!db_it.GetValue(value)) {
+ return error("%s: unable to read value in %s at key (%c, %d)",
+ __func__, index_name, DB_BLOCK_HEIGHT, height);
+ }
+
+ batch.Write(DBHashKey(value.first), std::move(value.second));
+
+ db_it.Next();
+ }
+ return true;
+}
+
+bool CoinStatsIndex::Rewind(const CBlockIndex* current_tip, const CBlockIndex* new_tip)
+{
+ assert(current_tip->GetAncestor(new_tip->nHeight) == new_tip);
+
+ CDBBatch batch(*m_db);
+ std::unique_ptr<CDBIterator> db_it(m_db->NewIterator());
+
+ // During a reorg, we need to copy all hash digests for blocks that are
+ // getting disconnected from the height index to the hash index so we can
+ // still find them when the height index entries are overwritten.
+ if (!CopyHeightIndexToHashIndex(*db_it, batch, m_name, new_tip->nHeight, current_tip->nHeight)) {
+ return false;
+ }
+
+ if (!m_db->WriteBatch(batch)) return false;
+
+ {
+ LOCK(cs_main);
+ CBlockIndex* iter_tip{m_chainstate->m_blockman.LookupBlockIndex(current_tip->GetBlockHash())};
+ const auto& consensus_params{Params().GetConsensus()};
+
+ do {
+ CBlock block;
+
+ if (!ReadBlockFromDisk(block, iter_tip, consensus_params)) {
+ return error("%s: Failed to read block %s from disk",
+ __func__, iter_tip->GetBlockHash().ToString());
+ }
+
+ ReverseBlock(block, iter_tip);
+
+ iter_tip = iter_tip->GetAncestor(iter_tip->nHeight - 1);
+ } while (new_tip != iter_tip);
+ }
+
+ return BaseIndex::Rewind(current_tip, new_tip);
+}
+
+static bool LookUpOne(const CDBWrapper& db, const CBlockIndex* block_index, DBVal& result)
+{
+ // First check if the result is stored under the height index and the value
+ // there matches the block hash. This should be the case if the block is on
+ // the active chain.
+ std::pair<uint256, DBVal> read_out;
+ if (!db.Read(DBHeightKey(block_index->nHeight), read_out)) {
+ return false;
+ }
+ if (read_out.first == block_index->GetBlockHash()) {
+ result = std::move(read_out.second);
+ return true;
+ }
+
+ // If value at the height index corresponds to an different block, the
+ // result will be stored in the hash index.
+ return db.Read(DBHashKey(block_index->GetBlockHash()), result);
+}
+
+bool CoinStatsIndex::LookUpStats(const CBlockIndex* block_index, CCoinsStats& coins_stats) const
+{
+ DBVal entry;
+ if (!LookUpOne(*m_db, block_index, entry)) {
+ return false;
+ }
+
+ coins_stats.hashSerialized = entry.muhash;
+ coins_stats.nTransactionOutputs = entry.transaction_output_count;
+ coins_stats.nBogoSize = entry.bogo_size;
+ coins_stats.total_amount = entry.total_amount;
+ coins_stats.total_subsidy = entry.total_subsidy;
+ coins_stats.total_unspendable_amount = entry.total_unspendable_amount;
+ coins_stats.total_prevout_spent_amount = entry.total_prevout_spent_amount;
+ coins_stats.total_new_outputs_ex_coinbase_amount = entry.total_new_outputs_ex_coinbase_amount;
+ coins_stats.total_coinbase_amount = entry.total_coinbase_amount;
+ coins_stats.total_unspendables_genesis_block = entry.total_unspendables_genesis_block;
+ coins_stats.total_unspendables_bip30 = entry.total_unspendables_bip30;
+ coins_stats.total_unspendables_scripts = entry.total_unspendables_scripts;
+ coins_stats.total_unspendables_unclaimed_rewards = entry.total_unspendables_unclaimed_rewards;
+
+ return true;
+}
+
+bool CoinStatsIndex::Init()
+{
+ if (!m_db->Read(DB_MUHASH, m_muhash)) {
+ // Check that the cause of the read failure is that the key does not
+ // exist. Any other errors indicate database corruption or a disk
+ // failure, and starting the index would cause further corruption.
+ if (m_db->Exists(DB_MUHASH)) {
+ return error("%s: Cannot read current %s state; index may be corrupted",
+ __func__, GetName());
+ }
+ }
+
+ if (!BaseIndex::Init()) return false;
+
+ const CBlockIndex* pindex{CurrentIndex()};
+
+ if (pindex) {
+ DBVal entry;
+ if (!LookUpOne(*m_db, pindex, entry)) {
+ return error("%s: Cannot read current %s state; index may be corrupted",
+ __func__, GetName());
+ }
+ m_transaction_output_count = entry.transaction_output_count;
+ m_bogo_size = entry.bogo_size;
+ m_total_amount = entry.total_amount;
+ m_total_subsidy = entry.total_subsidy;
+ m_total_unspendable_amount = entry.total_unspendable_amount;
+ m_total_prevout_spent_amount = entry.total_prevout_spent_amount;
+ m_total_new_outputs_ex_coinbase_amount = entry.total_new_outputs_ex_coinbase_amount;
+ m_total_coinbase_amount = entry.total_coinbase_amount;
+ m_total_unspendables_genesis_block = entry.total_unspendables_genesis_block;
+ m_total_unspendables_bip30 = entry.total_unspendables_bip30;
+ m_total_unspendables_scripts = entry.total_unspendables_scripts;
+ m_total_unspendables_unclaimed_rewards = entry.total_unspendables_unclaimed_rewards;
+ }
+
+ return true;
+}
+
+// Reverse a single block as part of a reorg
+bool CoinStatsIndex::ReverseBlock(const CBlock& block, const CBlockIndex* pindex)
+{
+ CBlockUndo block_undo;
+ std::pair<uint256, DBVal> read_out;
+
+ const CAmount block_subsidy{GetBlockSubsidy(pindex->nHeight, Params().GetConsensus())};
+ m_total_subsidy -= block_subsidy;
+
+ // Ignore genesis block
+ if (pindex->nHeight > 0) {
+ if (!UndoReadFromDisk(block_undo, pindex)) {
+ return false;
+ }
+
+ if (!m_db->Read(DBHeightKey(pindex->nHeight - 1), read_out)) {
+ return false;
+ }
+
+ uint256 expected_block_hash{pindex->pprev->GetBlockHash()};
+ if (read_out.first != expected_block_hash) {
+ LogPrintf("WARNING: previous block header belongs to unexpected block %s; expected %s\n",
+ read_out.first.ToString(), expected_block_hash.ToString());
+
+ if (!m_db->Read(DBHashKey(expected_block_hash), read_out)) {
+ return error("%s: previous block header not found; expected %s",
+ __func__, expected_block_hash.ToString());
+ }
+ }
+ }
+
+ // Remove the new UTXOs that were created from the block
+ for (size_t i = 0; i < block.vtx.size(); ++i) {
+ const auto& tx{block.vtx.at(i)};
+
+ for (uint32_t j = 0; j < tx->vout.size(); ++j) {
+ const CTxOut& out{tx->vout[j]};
+ COutPoint outpoint{tx->GetHash(), j};
+ Coin coin{out, pindex->nHeight, tx->IsCoinBase()};
+
+ // Skip unspendable coins
+ if (coin.out.scriptPubKey.IsUnspendable()) {
+ m_total_unspendable_amount -= coin.out.nValue;
+ m_total_unspendables_scripts -= coin.out.nValue;
+ continue;
+ }
+
+ m_muhash.Remove(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ if (tx->IsCoinBase()) {
+ m_total_coinbase_amount -= coin.out.nValue;
+ } else {
+ m_total_new_outputs_ex_coinbase_amount -= coin.out.nValue;
+ }
+
+ --m_transaction_output_count;
+ m_total_amount -= coin.out.nValue;
+ m_bogo_size -= GetBogoSize(coin.out.scriptPubKey);
+ }
+
+ // The coinbase tx has no undo data since no former output is spent
+ if (!tx->IsCoinBase()) {
+ const auto& tx_undo{block_undo.vtxundo.at(i - 1)};
+
+ for (size_t j = 0; j < tx_undo.vprevout.size(); ++j) {
+ Coin coin{tx_undo.vprevout[j]};
+ COutPoint outpoint{tx->vin[j].prevout.hash, tx->vin[j].prevout.n};
+
+ m_muhash.Insert(MakeUCharSpan(TxOutSer(outpoint, coin)));
+
+ m_total_prevout_spent_amount -= coin.out.nValue;
+
+ m_transaction_output_count++;
+ m_total_amount += coin.out.nValue;
+ m_bogo_size += GetBogoSize(coin.out.scriptPubKey);
+ }
+ }
+ }
+
+ const CAmount unclaimed_rewards{(m_total_new_outputs_ex_coinbase_amount + m_total_coinbase_amount + m_total_unspendable_amount) - (m_total_prevout_spent_amount + m_total_subsidy)};
+ m_total_unspendable_amount -= unclaimed_rewards;
+ m_total_unspendables_unclaimed_rewards -= unclaimed_rewards;
+
+ // Check that the rolled back internal values are consistent with the DB read out
+ uint256 out;
+ m_muhash.Finalize(out);
+ Assert(read_out.second.muhash == out);
+
+ Assert(m_transaction_output_count == read_out.second.transaction_output_count);
+ Assert(m_total_amount == read_out.second.total_amount);
+ Assert(m_bogo_size == read_out.second.bogo_size);
+ Assert(m_total_subsidy == read_out.second.total_subsidy);
+ Assert(m_total_unspendable_amount == read_out.second.total_unspendable_amount);
+ Assert(m_total_prevout_spent_amount == read_out.second.total_prevout_spent_amount);
+ Assert(m_total_new_outputs_ex_coinbase_amount == read_out.second.total_new_outputs_ex_coinbase_amount);
+ Assert(m_total_coinbase_amount == read_out.second.total_coinbase_amount);
+ Assert(m_total_unspendables_genesis_block == read_out.second.total_unspendables_genesis_block);
+ Assert(m_total_unspendables_bip30 == read_out.second.total_unspendables_bip30);
+ Assert(m_total_unspendables_scripts == read_out.second.total_unspendables_scripts);
+ Assert(m_total_unspendables_unclaimed_rewards == read_out.second.total_unspendables_unclaimed_rewards);
+
+ return m_db->Write(DB_MUHASH, m_muhash);
+}
diff --git a/src/index/coinstatsindex.h b/src/index/coinstatsindex.h
new file mode 100644
index 0000000000..d2a6c9c964
--- /dev/null
+++ b/src/index/coinstatsindex.h
@@ -0,0 +1,61 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_INDEX_COINSTATSINDEX_H
+#define BITCOIN_INDEX_COINSTATSINDEX_H
+
+#include <chain.h>
+#include <crypto/muhash.h>
+#include <flatfile.h>
+#include <index/base.h>
+#include <node/coinstats.h>
+
+/**
+ * CoinStatsIndex maintains statistics on the UTXO set.
+ */
+class CoinStatsIndex final : public BaseIndex
+{
+private:
+ std::string m_name;
+ std::unique_ptr<BaseIndex::DB> m_db;
+
+ MuHash3072 m_muhash;
+ uint64_t m_transaction_output_count{0};
+ uint64_t m_bogo_size{0};
+ CAmount m_total_amount{0};
+ CAmount m_total_subsidy{0};
+ CAmount m_total_unspendable_amount{0};
+ CAmount m_total_prevout_spent_amount{0};
+ CAmount m_total_new_outputs_ex_coinbase_amount{0};
+ CAmount m_total_coinbase_amount{0};
+ CAmount m_total_unspendables_genesis_block{0};
+ CAmount m_total_unspendables_bip30{0};
+ CAmount m_total_unspendables_scripts{0};
+ CAmount m_total_unspendables_unclaimed_rewards{0};
+
+ bool ReverseBlock(const CBlock& block, const CBlockIndex* pindex);
+
+protected:
+ bool Init() override;
+
+ bool WriteBlock(const CBlock& block, const CBlockIndex* pindex) override;
+
+ bool Rewind(const CBlockIndex* current_tip, const CBlockIndex* new_tip) override;
+
+ BaseIndex::DB& GetDB() const override { return *m_db; }
+
+ const char* GetName() const override { return "coinstatsindex"; }
+
+public:
+ // Constructs the index, which becomes available to be queried.
+ explicit CoinStatsIndex(size_t n_cache_size, bool f_memory = false, bool f_wipe = false);
+
+ // Look up stats for a specific block using CBlockIndex
+ bool LookUpStats(const CBlockIndex* block_index, node::CCoinsStats& coins_stats) const;
+};
+
+/// The global UTXO set hash object.
+extern std::unique_ptr<CoinStatsIndex> g_coin_stats_index;
+
+#endif // BITCOIN_INDEX_COINSTATSINDEX_H
diff --git a/src/index/txindex.cpp b/src/index/txindex.cpp
index 6398b7edc8..e1d807f39a 100644
--- a/src/index/txindex.cpp
+++ b/src/index/txindex.cpp
@@ -1,21 +1,19 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <index/disktxpos.h>
#include <index/txindex.h>
-#include <node/ui_interface.h>
-#include <shutdown.h>
+
+#include <index/disktxpos.h>
+#include <node/blockstorage.h>
#include <util/system.h>
-#include <util/translation.h>
#include <validation.h>
-constexpr char DB_BEST_BLOCK = 'B';
-constexpr char DB_TXINDEX = 't';
-constexpr char DB_TXINDEX_BLOCK = 'T';
+using node::OpenBlockFile;
-std::unique_ptr<TxIndex> g_txindex;
+constexpr uint8_t DB_TXINDEX{'t'};
+std::unique_ptr<TxIndex> g_txindex;
/** Access to the txindex database (indexes/txindex/) */
@@ -30,14 +28,10 @@ public:
/// Write a batch of transaction positions to the DB.
bool WriteTxs(const std::vector<std::pair<uint256, CDiskTxPos>>& v_pos);
-
- /// Migrate txindex data from the block tree DB, where it may be for older nodes that have not
- /// been upgraded yet to the new database.
- bool MigrateData(CBlockTreeDB& block_tree_db, const CBlockLocator& best_locator);
};
TxIndex::DB::DB(size_t n_cache_size, bool f_memory, bool f_wipe) :
- BaseIndex::DB(GetDataDir() / "indexes" / "txindex", n_cache_size, f_memory, f_wipe)
+ BaseIndex::DB(gArgs.GetDataDirNet() / "indexes" / "txindex", n_cache_size, f_memory, f_wipe)
{}
bool TxIndex::DB::ReadTxPos(const uint256 &txid, CDiskTxPos& pos) const
@@ -54,169 +48,20 @@ bool TxIndex::DB::WriteTxs(const std::vector<std::pair<uint256, CDiskTxPos>>& v_
return WriteBatch(batch);
}
-/*
- * Safely persist a transfer of data from the old txindex database to the new one, and compact the
- * range of keys updated. This is used internally by MigrateData.
- */
-static void WriteTxIndexMigrationBatches(CDBWrapper& newdb, CDBWrapper& olddb,
- CDBBatch& batch_newdb, CDBBatch& batch_olddb,
- const std::pair<unsigned char, uint256>& begin_key,
- const std::pair<unsigned char, uint256>& end_key)
-{
- // Sync new DB changes to disk before deleting from old DB.
- newdb.WriteBatch(batch_newdb, /*fSync=*/ true);
- olddb.WriteBatch(batch_olddb);
- olddb.CompactRange(begin_key, end_key);
-
- batch_newdb.Clear();
- batch_olddb.Clear();
-}
-
-bool TxIndex::DB::MigrateData(CBlockTreeDB& block_tree_db, const CBlockLocator& best_locator)
-{
- // The prior implementation of txindex was always in sync with block index
- // and presence was indicated with a boolean DB flag. If the flag is set,
- // this means the txindex from a previous version is valid and in sync with
- // the chain tip. The first step of the migration is to unset the flag and
- // write the chain hash to a separate key, DB_TXINDEX_BLOCK. After that, the
- // index entries are copied over in batches to the new database. Finally,
- // DB_TXINDEX_BLOCK is erased from the old database and the block hash is
- // written to the new database.
- //
- // Unsetting the boolean flag ensures that if the node is downgraded to a
- // previous version, it will not see a corrupted, partially migrated index
- // -- it will see that the txindex is disabled. When the node is upgraded
- // again, the migration will pick up where it left off and sync to the block
- // with hash DB_TXINDEX_BLOCK.
- bool f_legacy_flag = false;
- block_tree_db.ReadFlag("txindex", f_legacy_flag);
- if (f_legacy_flag) {
- if (!block_tree_db.Write(DB_TXINDEX_BLOCK, best_locator)) {
- return error("%s: cannot write block indicator", __func__);
- }
- if (!block_tree_db.WriteFlag("txindex", false)) {
- return error("%s: cannot write block index db flag", __func__);
- }
- }
-
- CBlockLocator locator;
- if (!block_tree_db.Read(DB_TXINDEX_BLOCK, locator)) {
- return true;
- }
-
- int64_t count = 0;
- LogPrintf("Upgrading txindex database... [0%%]\n");
- uiInterface.ShowProgress(_("Upgrading txindex database").translated, 0, true);
- int report_done = 0;
- const size_t batch_size = 1 << 24; // 16 MiB
-
- CDBBatch batch_newdb(*this);
- CDBBatch batch_olddb(block_tree_db);
-
- std::pair<unsigned char, uint256> key;
- std::pair<unsigned char, uint256> begin_key{DB_TXINDEX, uint256()};
- std::pair<unsigned char, uint256> prev_key = begin_key;
-
- bool interrupted = false;
- std::unique_ptr<CDBIterator> cursor(block_tree_db.NewIterator());
- for (cursor->Seek(begin_key); cursor->Valid(); cursor->Next()) {
- if (ShutdownRequested()) {
- interrupted = true;
- break;
- }
-
- if (!cursor->GetKey(key)) {
- return error("%s: cannot get key from valid cursor", __func__);
- }
- if (key.first != DB_TXINDEX) {
- break;
- }
-
- // Log progress every 10%.
- if (++count % 256 == 0) {
- // Since txids are uniformly random and traversed in increasing order, the high 16 bits
- // of the hash can be used to estimate the current progress.
- const uint256& txid = key.second;
- uint32_t high_nibble =
- (static_cast<uint32_t>(*(txid.begin() + 0)) << 8) +
- (static_cast<uint32_t>(*(txid.begin() + 1)) << 0);
- int percentage_done = (int)(high_nibble * 100.0 / 65536.0 + 0.5);
-
- uiInterface.ShowProgress(_("Upgrading txindex database").translated, percentage_done, true);
- if (report_done < percentage_done/10) {
- LogPrintf("Upgrading txindex database... [%d%%]\n", percentage_done);
- report_done = percentage_done/10;
- }
- }
-
- CDiskTxPos value;
- if (!cursor->GetValue(value)) {
- return error("%s: cannot parse txindex record", __func__);
- }
- batch_newdb.Write(key, value);
- batch_olddb.Erase(key);
-
- if (batch_newdb.SizeEstimate() > batch_size || batch_olddb.SizeEstimate() > batch_size) {
- // NOTE: it's OK to delete the key pointed at by the current DB cursor while iterating
- // because LevelDB iterators are guaranteed to provide a consistent view of the
- // underlying data, like a lightweight snapshot.
- WriteTxIndexMigrationBatches(*this, block_tree_db,
- batch_newdb, batch_olddb,
- prev_key, key);
- prev_key = key;
- }
- }
-
- // If these final DB batches complete the migration, write the best block
- // hash marker to the new database and delete from the old one. This signals
- // that the former is fully caught up to that point in the blockchain and
- // that all txindex entries have been removed from the latter.
- if (!interrupted) {
- batch_olddb.Erase(DB_TXINDEX_BLOCK);
- batch_newdb.Write(DB_BEST_BLOCK, locator);
- }
-
- WriteTxIndexMigrationBatches(*this, block_tree_db,
- batch_newdb, batch_olddb,
- begin_key, key);
-
- if (interrupted) {
- LogPrintf("[CANCELLED].\n");
- return false;
- }
-
- uiInterface.ShowProgress("", 100, false);
-
- LogPrintf("[DONE].\n");
- return true;
-}
-
TxIndex::TxIndex(size_t n_cache_size, bool f_memory, bool f_wipe)
- : m_db(MakeUnique<TxIndex::DB>(n_cache_size, f_memory, f_wipe))
+ : m_db(std::make_unique<TxIndex::DB>(n_cache_size, f_memory, f_wipe))
{}
TxIndex::~TxIndex() {}
-bool TxIndex::Init()
-{
- LOCK(cs_main);
-
- // Attempt to migrate txindex from the old database to the new one. Even if
- // chain_tip is null, the node could be reindexing and we still want to
- // delete txindex records in the old database.
- if (!m_db->MigrateData(*pblocktree, ::ChainActive().GetLocator())) {
- return false;
- }
-
- return BaseIndex::Init();
-}
-
bool TxIndex::WriteBlock(const CBlock& block, const CBlockIndex* pindex)
{
// Exclude genesis block transaction because outputs are not spendable.
if (pindex->nHeight == 0) return true;
- CDiskTxPos pos(pindex->GetBlockPos(), GetSizeOfCompactSize(block.vtx.size()));
+ CDiskTxPos pos{
+ WITH_LOCK(::cs_main, return pindex->GetBlockPos()),
+ GetSizeOfCompactSize(block.vtx.size())};
std::vector<std::pair<uint256, CDiskTxPos>> vPos;
vPos.reserve(block.vtx.size());
for (const auto& tx : block.vtx) {
diff --git a/src/index/txindex.h b/src/index/txindex.h
index 8202c3c951..2bbc602631 100644
--- a/src/index/txindex.h
+++ b/src/index/txindex.h
@@ -1,13 +1,11 @@
-// Copyright (c) 2017-2018 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_INDEX_TXINDEX_H
#define BITCOIN_INDEX_TXINDEX_H
-#include <chain.h>
#include <index/base.h>
-#include <txdb.h>
/**
* TxIndex is used to look up transactions included in the blockchain by hash.
@@ -23,9 +21,6 @@ private:
const std::unique_ptr<DB> m_db;
protected:
- /// Override base class init to migrate from old database.
- bool Init() override;
-
bool WriteBlock(const CBlock& block, const CBlockIndex* pindex) override;
BaseIndex::DB& GetDB() const override;
diff --git a/src/init.cpp b/src/init.cpp
index 8aa80eacca..6aef1f8149 100644
--- a/src/init.cpp
+++ b/src/init.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,29 +10,34 @@
#include <init.h>
#include <addrman.h>
-#include <amount.h>
#include <banman.h>
#include <blockfilter.h>
#include <chain.h>
#include <chainparams.h>
#include <compat/sanity.h>
-#include <consensus/validation.h>
+#include <consensus/amount.h>
+#include <deploymentstatus.h>
#include <fs.h>
#include <hash.h>
#include <httprpc.h>
#include <httpserver.h>
#include <index/blockfilterindex.h>
+#include <index/coinstatsindex.h>
#include <index/txindex.h>
+#include <init/common.h>
#include <interfaces/chain.h>
+#include <interfaces/init.h>
#include <interfaces/node.h>
-#include <key.h>
#include <mapport.h>
-#include <miner.h>
#include <net.h>
#include <net_permissions.h>
#include <net_processing.h>
#include <netbase.h>
+#include <node/blockstorage.h>
+#include <node/caches.h>
+#include <node/chainstate.h>
#include <node/context.h>
+#include <node/miner.h>
#include <node/ui_interface.h>
#include <policy/feerate.h>
#include <policy/fees.h>
@@ -56,19 +61,24 @@
#include <util/asmap.h>
#include <util/check.h>
#include <util/moneystr.h>
+#include <util/strencodings.h>
#include <util/string.h>
+#include <util/syscall_sandbox.h>
#include <util/system.h>
+#include <util/thread.h>
#include <util/threadnames.h>
#include <util/translation.h>
#include <validation.h>
-
#include <validationinterface.h>
#include <walletinitinterface.h>
+#include <condition_variable>
+#include <cstdint>
+#include <cstdio>
+#include <fstream>
#include <functional>
#include <set>
-#include <stdint.h>
-#include <stdio.h>
+#include <string>
#include <thread>
#include <vector>
@@ -88,9 +98,24 @@
#include <zmq/zmqrpc.h>
#endif
+using node::CacheSizes;
+using node::CalculateCacheSizes;
+using node::ChainstateLoadVerifyError;
+using node::ChainstateLoadingError;
+using node::CleanupBlockRevFiles;
+using node::DEFAULT_PRINTPRIORITY;
+using node::DEFAULT_STOPAFTERBLOCKIMPORT;
+using node::LoadChainstate;
+using node::NodeContext;
+using node::ThreadImport;
+using node::VerifyLoadedChainstate;
+using node::fHavePruned;
+using node::fPruneMode;
+using node::fReindex;
+using node::nPruneTarget;
+
static const bool DEFAULT_PROXYRANDOMIZE = true;
static const bool DEFAULT_REST_ENABLE = false;
-static const bool DEFAULT_STOPAFTERBLOCKIMPORT = false;
#ifdef WIN32
// Win32 LevelDB doesn't use filedescriptors, and the ones used for
@@ -110,12 +135,12 @@ static const char* BITCOIN_PID_FILENAME = "bitcoind.pid";
static fs::path GetPidFile(const ArgsManager& args)
{
- return AbsPathForConfigVal(fs::path(args.GetArg("-pid", BITCOIN_PID_FILENAME)));
+ return AbsPathForConfigVal(fs::PathFromString(args.GetArg("-pid", BITCOIN_PID_FILENAME)));
}
[[nodiscard]] static bool CreatePidFile(const ArgsManager& args)
{
- fsbridge::ofstream file{GetPidFile(args)};
+ std::ofstream file{GetPidFile(args)};
if (file) {
#ifdef WIN32
tfm::format(file, "%d\n", GetCurrentProcessId());
@@ -124,7 +149,7 @@ static fs::path GetPidFile(const ArgsManager& args)
#endif
return true;
} else {
- return InitError(strprintf(_("Unable to create the PID file '%s': %s"), GetPidFile(args).string(), std::strerror(errno)));
+ return InitError(strprintf(_("Unable to create the PID file '%s': %s"), fs::PathToString(GetPidFile(args)), std::strerror(errno)));
}
}
@@ -153,10 +178,6 @@ static fs::path GetPidFile(const ArgsManager& args)
// shutdown thing.
//
-static std::unique_ptr<ECCVerifyHandle> globalVerifyHandle;
-
-static std::thread g_load_block;
-
void Interrupt(NodeContext& node)
{
InterruptHTTPServer();
@@ -171,6 +192,9 @@ void Interrupt(NodeContext& node)
g_txindex->Interrupt();
}
ForEachBlockFilterIndex([](BlockFilterIndex& index) { index.Interrupt(); });
+ if (g_coin_stats_index) {
+ g_coin_stats_index->Interrupt();
+ }
}
void Shutdown(NodeContext& node)
@@ -200,27 +224,14 @@ void Shutdown(NodeContext& node)
// Because these depend on each-other, we make sure that neither can be
// using the other before destroying them.
if (node.peerman) UnregisterValidationInterface(node.peerman.get());
- // Follow the lock order requirements:
- // * CheckForStaleTipAndEvictPeers locks cs_main before indirectly calling GetExtraFullOutboundCount
- // which locks cs_vNodes.
- // * ProcessMessage locks cs_main and g_cs_orphans before indirectly calling ForEachNode which
- // locks cs_vNodes.
- // * CConnman::Stop calls DeleteNode, which calls FinalizeNode, which locks cs_main and calls
- // EraseOrphansFor, which locks g_cs_orphans.
- //
- // Thus the implicit locking order requirement is: (1) cs_main, (2) g_cs_orphans, (3) cs_vNodes.
- if (node.connman) {
- node.connman->StopThreads();
- LOCK2(::cs_main, ::g_cs_orphans);
- node.connman->StopNodes();
- }
+ if (node.connman) node.connman->Stop();
StopTorControl();
// After everything has been shut down, but before things get flushed, stop the
// CScheduler/checkqueue, scheduler and load block thread.
if (node.scheduler) node.scheduler->stop();
- if (g_load_block.joinable()) g_load_block.join();
+ if (node.chainman && node.chainman->m_load_block.joinable()) node.chainman->m_load_block.join();
StopScriptCheckWorkerThreads();
// After the threads that potentially access these pointers have been stopped,
@@ -228,8 +239,9 @@ void Shutdown(NodeContext& node)
node.peerman.reset();
node.connman.reset();
node.banman.reset();
+ node.addrman.reset();
- if (node.mempool && node.mempool->IsLoaded() && node.args->GetArg("-persistmempool", DEFAULT_PERSIST_MEMPOOL)) {
+ if (node.mempool && node.mempool->IsLoaded() && node.args->GetBoolArg("-persistmempool", DEFAULT_PERSIST_MEMPOOL)) {
DumpMempool(*node.mempool);
}
@@ -255,6 +267,10 @@ void Shutdown(NodeContext& node)
g_txindex->Stop();
g_txindex.reset();
}
+ if (g_coin_stats_index) {
+ g_coin_stats_index->Stop();
+ g_coin_stats_index.reset();
+ }
ForEachBlockFilterIndex([](BlockFilterIndex& index) { index.Stop(); });
DestroyAllBlockFilterIndexes();
@@ -272,7 +288,6 @@ void Shutdown(NodeContext& node)
chainstate->ResetCoinsViews();
}
}
- pblocktree.reset();
}
for (const auto& client : node.chain_clients) {
client->stop();
@@ -289,11 +304,10 @@ void Shutdown(NodeContext& node)
node.chain_clients.clear();
UnregisterAllValidationInterfaces();
GetMainSignals().UnregisterBackgroundSignalScheduler();
- globalVerifyHandle.reset();
- ECC_Stop();
+ init::UnsetGlobals();
node.mempool.reset();
node.fee_estimator.reset();
- node.chainman = nullptr;
+ node.chainman.reset();
node.scheduler.reset();
try {
@@ -357,15 +371,13 @@ static void OnRPCStopped()
LogPrint(BCLog::RPC, "RPC stopped.\n");
}
-void SetupServerArgs(NodeContext& node)
+void SetupServerArgs(ArgsManager& argsman)
{
- assert(!node.args);
- node.args = &gArgs;
- ArgsManager& argsman = *node.args;
-
SetupHelpOptions(argsman);
argsman.AddArg("-help-debug", "Print help message with debugging options and exit", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST); // server-only for now
+ init::AddLoggingArgs(argsman);
+
const auto defaultBaseParams = CreateBaseChainParams(CBaseChainParams::MAIN);
const auto testnetBaseParams = CreateBaseChainParams(CBaseChainParams::TESTNET);
const auto signetBaseParams = CreateBaseChainParams(CBaseChainParams::SIGNET);
@@ -393,12 +405,11 @@ void SetupServerArgs(NodeContext& node)
#endif
argsman.AddArg("-blockreconstructionextratxn=<n>", strprintf("Extra transactions to keep in memory for compact block reconstructions (default: %u)", DEFAULT_BLOCK_RECONSTRUCTION_EXTRA_TXN), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-blocksonly", strprintf("Whether to reject transactions from network peers. Automatic broadcast and rebroadcast of any transactions from inbound peers is disabled, unless the peer has the 'forcerelay' permission. RPC transactions are not affected. (default: %u)", DEFAULT_BLOCKSONLY), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-coinstatsindex", strprintf("Maintain coinstats index used by the gettxoutsetinfo RPC (default: %u)", DEFAULT_COINSTATSINDEX), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-conf=<file>", strprintf("Specify path to read-only configuration file. Relative paths will be prefixed by datadir location. (default: %s)", BITCOIN_CONF_FILENAME), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-datadir=<dir>", "Specify data directory", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-dbbatchsize", strprintf("Maximum database write batch size in bytes (default: %u)", nDefaultDbBatchSize), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::OPTIONS);
argsman.AddArg("-dbcache=<n>", strprintf("Maximum database cache size <n> MiB (%d to %d, default: %d). In addition, unused mempool memory is shared for this cache (see -maxmempool).", nMinDbCache, nMaxDbCache, nDefaultDbCache), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
- argsman.AddArg("-debuglogfile=<file>", strprintf("Specify location of debug log file. Relative paths will be prefixed by a net-specific datadir location. (-nodebuglogfile to disable; default: %s)", DEFAULT_DEBUGLOGFILE), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
- argsman.AddArg("-feefilter", strprintf("Tell other nodes to filter invs to us by our mempool min fee (default: %u)", DEFAULT_FEEFILTER), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::OPTIONS);
argsman.AddArg("-includeconf=<file>", "Specify additional configuration file, relative to the -datadir path (only useable from configuration file, not command line)", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-loadblock=<file>", "Imports blocks from external file on startup", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-maxmempool=<n>", strprintf("Keep the transaction memory pool below <n> megabytes (default: %u)", DEFAULT_MAX_MEMPOOL_SIZE), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
@@ -409,7 +420,7 @@ void SetupServerArgs(NodeContext& node)
-GetNumCores(), MAX_SCRIPTCHECK_THREADS, DEFAULT_SCRIPTCHECK_THREADS), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-persistmempool", strprintf("Whether to save the mempool on shutdown and load on restart (default: %u)", DEFAULT_PERSIST_MEMPOOL), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-pid=<file>", strprintf("Specify pid file. Relative paths will be prefixed by a net-specific datadir location. (default: %s)", BITCOIN_PID_FILENAME), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
- argsman.AddArg("-prune=<n>", strprintf("Reduce storage requirements by enabling pruning (deleting) of old blocks. This allows the pruneblockchain RPC to be called to delete specific blocks, and enables automatic pruning of old blocks if a target size in MiB is provided. This mode is incompatible with -txindex and -rescan. "
+ argsman.AddArg("-prune=<n>", strprintf("Reduce storage requirements by enabling pruning (deleting) of old blocks. This allows the pruneblockchain RPC to be called to delete specific blocks, and enables automatic pruning of old blocks if a target size in MiB is provided. This mode is incompatible with -txindex and -coinstatsindex. "
"Warning: Reverting this setting requires re-downloading the entire blockchain. "
"(default: 0 = disable pruning blocks, 1 = allow manual pruning via RPC, >=%u = automatically prune block files to stay under the specified target size in MiB)", MIN_DISK_SPACE_FOR_BLOCK_FILES / 1024 / 1024), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
argsman.AddArg("-reindex", "Rebuild chain state and block index from the blk*.dat files on disk", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
@@ -429,36 +440,37 @@ void SetupServerArgs(NodeContext& node)
" If <type> is not supplied or if <type> = 1, indexes for all known types are enabled.",
ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
- argsman.AddArg("-addnode=<ip>", "Add a node to connect to and attempt to keep the connection open (see the `addnode` RPC command help for more info). This option can be specified multiple times to add multiple nodes.", ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::CONNECTION);
+ argsman.AddArg("-addnode=<ip>", strprintf("Add a node to connect to and attempt to keep the connection open (see the addnode RPC help for more info). This option can be specified multiple times to add multiple nodes; connections are limited to %u at a time and are counted separately from the -maxconnections limit.", MAX_ADDNODE_CONNECTIONS), ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::CONNECTION);
argsman.AddArg("-asmap=<file>", strprintf("Specify asn mapping used for bucketing of the peers (default: %s). Relative paths will be prefixed by the net-specific datadir location.", DEFAULT_ASMAP_FILENAME), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-bantime=<n>", strprintf("Default duration (in seconds) of manually configured bans (default: %u)", DEFAULT_MISBEHAVING_BANTIME), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-bind=<addr>[:<port>][=onion]", strprintf("Bind to given address and always listen on it (default: 0.0.0.0). Use [host]:port notation for IPv6. Append =onion to tag any incoming connections to that address and port as incoming Tor connections (default: 127.0.0.1:%u=onion, testnet: 127.0.0.1:%u=onion, signet: 127.0.0.1:%u=onion, regtest: 127.0.0.1:%u=onion)", defaultBaseParams->OnionServiceTargetPort(), testnetBaseParams->OnionServiceTargetPort(), signetBaseParams->OnionServiceTargetPort(), regtestBaseParams->OnionServiceTargetPort()), ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::CONNECTION);
+ argsman.AddArg("-cjdnsreachable", "If set then this host is configured for CJDNS (connecting to fc00::/8 addresses would lead us to the CJDNS network) (default: 0)", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-connect=<ip>", "Connect only to the specified node; -noconnect disables automatic connections (the rules for this peer are the same as for -addnode). This option can be specified multiple times to connect to multiple nodes.", ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::CONNECTION);
argsman.AddArg("-discover", "Discover own IP addresses (default: 1 when listening and no -externalip or -proxy)", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-dns", strprintf("Allow DNS lookups for -addnode, -seednode and -connect (default: %u)", DEFAULT_NAME_LOOKUP), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
- argsman.AddArg("-dnsseed", strprintf("Query for peer addresses via DNS lookup, if low on addresses (default: %u unless -connect used)", DEFAULT_DNSSEED), ArgsManager::ALLOW_BOOL, OptionsCategory::CONNECTION);
+ argsman.AddArg("-dnsseed", strprintf("Query for peer addresses via DNS lookup, if low on addresses (default: %u unless -connect used)", DEFAULT_DNSSEED), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-externalip=<ip>", "Specify your own public address", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
- argsman.AddArg("-fixedseeds", strprintf("Allow fixed seeds if DNS seeds don't provide peers (default: %u)", DEFAULT_FIXEDSEEDS), ArgsManager::ALLOW_BOOL, OptionsCategory::CONNECTION);
+ argsman.AddArg("-fixedseeds", strprintf("Allow fixed seeds if DNS seeds don't provide peers (default: %u)", DEFAULT_FIXEDSEEDS), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-forcednsseed", strprintf("Always query for peer addresses via DNS lookup (default: %u)", DEFAULT_FORCEDNSSEED), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-listen", "Accept connections from outside (default: 1 if no -proxy or -connect)", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-listenonion", strprintf("Automatically create Tor onion service (default: %d)", DEFAULT_LISTEN_ONION), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
- argsman.AddArg("-maxconnections=<n>", strprintf("Maintain at most <n> connections to peers (default: %u)", DEFAULT_MAX_PEER_CONNECTIONS), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
+ argsman.AddArg("-maxconnections=<n>", strprintf("Maintain at most <n> connections to peers (default: %u). This limit does not apply to connections manually added via -addnode or the addnode RPC, which have a separate limit of %u.", DEFAULT_MAX_PEER_CONNECTIONS, MAX_ADDNODE_CONNECTIONS), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-maxreceivebuffer=<n>", strprintf("Maximum per-connection receive buffer, <n>*1000 bytes (default: %u)", DEFAULT_MAXRECEIVEBUFFER), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-maxsendbuffer=<n>", strprintf("Maximum per-connection send buffer, <n>*1000 bytes (default: %u)", DEFAULT_MAXSENDBUFFER), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-maxtimeadjustment", strprintf("Maximum allowed median peer time offset adjustment. Local perspective of time may be influenced by peers forward or backward by this amount. (default: %u seconds)", DEFAULT_MAX_TIME_ADJUSTMENT), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
- argsman.AddArg("-maxuploadtarget=<n>", strprintf("Tries to keep outbound traffic under the given target (in MiB per 24h). Limit does not apply to peers with 'download' permission. 0 = no limit (default: %d)", DEFAULT_MAX_UPLOAD_TARGET), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
+ argsman.AddArg("-maxuploadtarget=<n>", strprintf("Tries to keep outbound traffic under the given target per 24h. Limit does not apply to peers with 'download' permission or blocks created within past week. 0 = no limit (default: %s). Optional suffix units [k|K|m|M|g|G|t|T] (default: M). Lowercase is 1000 base while uppercase is 1024 base", DEFAULT_MAX_UPLOAD_TARGET), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-onion=<ip:port>", "Use separate SOCKS5 proxy to reach peers via Tor onion services, set -noonion to disable (default: -proxy)", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-i2psam=<ip:port>", "I2P SAM proxy to reach I2P peers and accept I2P connections (default: none)", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
- argsman.AddArg("-i2pacceptincoming", "If set and -i2psam is also set then incoming I2P connections are accepted via the SAM proxy. If this is not set but -i2psam is set then only outgoing connections will be made to the I2P network. Ignored if -i2psam is not set. Listening for incoming I2P connections is done through the SAM proxy, not by binding to a local address and port (default: 1)", ArgsManager::ALLOW_BOOL, OptionsCategory::CONNECTION);
+ argsman.AddArg("-i2pacceptincoming", "If set and -i2psam is also set then incoming I2P connections are accepted via the SAM proxy. If this is not set but -i2psam is set then only outgoing connections will be made to the I2P network. Ignored if -i2psam is not set. Listening for incoming I2P connections is done through the SAM proxy, not by binding to a local address and port (default: 1)", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-onlynet=<net>", "Make outgoing connections only through network <net> (" + Join(GetNetworkNames(), ", ") + "). Incoming connections are not affected by this option. This option can be specified multiple times to allow multiple networks. Warning: if it is used with non-onion networks and the -onion or -proxy option is set, then outbound onion connections will still be made; use -noonion or -onion=0 to disable outbound onion connections in this case.", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-peerbloomfilters", strprintf("Support filtering of blocks and transaction with bloom filters (default: %u)", DEFAULT_PEERBLOOMFILTERS), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-peerblockfilters", strprintf("Serve compact block filters to peers per BIP 157 (default: %u)", DEFAULT_PEERBLOCKFILTERS), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-permitbaremultisig", strprintf("Relay non-P2SH multisig (default: %u)", DEFAULT_PERMIT_BAREMULTISIG), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
- argsman.AddArg("-port=<port>", strprintf("Listen for connections on <port>. Nodes not using the default ports (default: %u, testnet: %u, signet: %u, regtest: %u) are unlikely to get incoming connections.", defaultChainParams->GetDefaultPort(), testnetChainParams->GetDefaultPort(), signetChainParams->GetDefaultPort(), regtestChainParams->GetDefaultPort()), ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::CONNECTION);
+ argsman.AddArg("-port=<port>", strprintf("Listen for connections on <port>. Nodes not using the default ports (default: %u, testnet: %u, signet: %u, regtest: %u) are unlikely to get incoming connections. Not relevant for I2P (see doc/i2p.md).", defaultChainParams->GetDefaultPort(), testnetChainParams->GetDefaultPort(), signetChainParams->GetDefaultPort(), regtestChainParams->GetDefaultPort()), ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::CONNECTION);
argsman.AddArg("-proxy=<ip:port>", "Connect through SOCKS5 proxy, set -noproxy to disable (default: disabled)", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-proxyrandomize", strprintf("Randomize credentials for every proxy connection. This enables Tor stream isolation (default: %u)", DEFAULT_PROXYRANDOMIZE), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-seednode=<ip>", "Connect to a node to retrieve peer addresses, and disconnect. This option can be specified multiple times to connect to multiple nodes.", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
- argsman.AddArg("-networkactive", "Enable all P2P network activity (default: 1). Can be changed by the setnetworkactive RPC command", ArgsManager::ALLOW_BOOL, OptionsCategory::CONNECTION);
+ argsman.AddArg("-networkactive", "Enable all P2P network activity (default: 1). Can be changed by the setnetworkactive RPC command", ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-timeout=<n>", strprintf("Specify socket connection timeout in milliseconds. If an initial attempt to connect is unsuccessful after this amount of time, drop it (minimum: 1, default: %d)", DEFAULT_CONNECT_TIMEOUT), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
argsman.AddArg("-peertimeout=<n>", strprintf("Specify a p2p connection timeout delay in seconds. After connecting to a peer, wait this amount of time before considering disconnection based on inactivity (minimum: 1, default: %d)", DEFAULT_PEER_CONNECT_TIMEOUT), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::CONNECTION);
argsman.AddArg("-torcontrol=<ip>:<port>", strprintf("Tor control port to use if onion listening enabled (default: %s)", DEFAULT_TOR_CONTROL), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
@@ -473,7 +485,7 @@ void SetupServerArgs(NodeContext& node)
hidden_args.emplace_back("-upnp");
#endif
#ifdef USE_NATPMP
- argsman.AddArg("-natpmp", strprintf("Use NAT-PMP to map the listening port (default: %s)", DEFAULT_NATPMP ? "1 when listening and no -proxy" : "0"), ArgsManager::ALLOW_BOOL, OptionsCategory::CONNECTION);
+ argsman.AddArg("-natpmp", strprintf("Use NAT-PMP to map the listening port (default: %s)", DEFAULT_NATPMP ? "1 when listening and no -proxy" : "0"), ArgsManager::ALLOW_ANY, OptionsCategory::CONNECTION);
#else
hidden_args.emplace_back("-natpmp");
#endif // USE_NATPMP
@@ -514,7 +526,8 @@ void SetupServerArgs(NodeContext& node)
argsman.AddArg("-checkblocks=<n>", strprintf("How many blocks to check at startup (default: %u, 0 = all)", DEFAULT_CHECKBLOCKS), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-checklevel=<n>", strprintf("How thorough the block verification of -checkblocks is: %s (0-4, default: %u)", Join(CHECKLEVEL_DOC, ", "), DEFAULT_CHECKLEVEL), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-checkblockindex", strprintf("Do a consistency check for the block tree, chainstate, and other validation data structures occasionally. (default: %u, regtest: %u)", defaultChainParams->DefaultConsistencyChecks(), regtestChainParams->DefaultConsistencyChecks()), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-checkmempool=<n>", strprintf("Run checks every <n> transactions (default: %u, regtest: %u)", defaultChainParams->DefaultConsistencyChecks(), regtestChainParams->DefaultConsistencyChecks()), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-checkaddrman=<n>", strprintf("Run addrman consistency checks every <n> operations. Use 0 to disable. (default: %u)", DEFAULT_ADDRMAN_CONSISTENCY_CHECKS), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-checkmempool=<n>", strprintf("Run mempool consistency checks every <n> transactions. Use 0 to disable. (default: %u, regtest: %u)", defaultChainParams->DefaultConsistencyChecks(), regtestChainParams->DefaultConsistencyChecks()), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-checkpoints", strprintf("Enable rejection of any forks from the known historical chain until block %s (default: %u)", defaultChainParams->Checkpoints().GetHeight(), DEFAULT_CHECKPOINTS_ENABLED), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-deprecatedrpc=<method>", "Allows deprecated RPC method(s) to be used", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-stopafterblockimport", strprintf("Stop running after importing blocks from disk (default: %u)", DEFAULT_STOPAFTERBLOCKIMPORT), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
@@ -524,44 +537,29 @@ void SetupServerArgs(NodeContext& node)
argsman.AddArg("-limitdescendantcount=<n>", strprintf("Do not accept transactions if any ancestor would have <n> or more in-mempool descendants (default: %u)", DEFAULT_DESCENDANT_LIMIT), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-limitdescendantsize=<n>", strprintf("Do not accept transactions if any ancestor would have more than <n> kilobytes of in-mempool descendants (default: %u).", DEFAULT_DESCENDANT_SIZE_LIMIT), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-addrmantest", "Allows to test address relay on localhost", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-capturemessages", "Capture all P2P messages to disk", ArgsManager::ALLOW_BOOL | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-debug=<category>", "Output debugging information (default: -nodebug, supplying <category> is optional). "
- "If <category> is not supplied or if <category> = 1, output all debugging information. <category> can be: " + LogInstance().LogCategoriesString() + ". This option can be specified multiple times to output multiple categories.",
- ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-debugexclude=<category>", strprintf("Exclude debugging information for a category. Can be used in conjunction with -debug=1 to output debug logs for all categories except the specified category. This option can be specified multiple times to exclude multiple categories."), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-logips", strprintf("Include IP addresses in debug output (default: %u)", DEFAULT_LOGIPS), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-logtimestamps", strprintf("Prepend debug output with timestamp (default: %u)", DEFAULT_LOGTIMESTAMPS), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
-#ifdef HAVE_THREAD_LOCAL
- argsman.AddArg("-logthreadnames", strprintf("Prepend debug output with name of the originating thread (only available on platforms supporting thread_local) (default: %u)", DEFAULT_LOGTHREADNAMES), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
-#else
- hidden_args.emplace_back("-logthreadnames");
-#endif
- argsman.AddArg("-logsourcelocations", strprintf("Prepend debug output with name of the originating source location (source file, line number and function name) (default: %u)", DEFAULT_LOGSOURCELOCATIONS), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-logtimemicros", strprintf("Add microsecond precision to debug timestamps (default: %u)", DEFAULT_LOGTIMEMICROS), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-capturemessages", "Capture all P2P messages to disk", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-mocktime=<n>", "Replace actual time with " + UNIX_EPOCH_TIME + " (default: 0)", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-maxsigcachesize=<n>", strprintf("Limit sum of signature cache and script execution cache sizes to <n> MiB (default: %u)", DEFAULT_MAX_SIG_CACHE_SIZE), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-maxtipage=<n>", strprintf("Maximum tip age in seconds to consider node in initial block download (default: %u)", DEFAULT_MAX_TIP_AGE), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-printpriority", strprintf("Log transaction fee per kB when mining blocks (default: %u)", DEFAULT_PRINTPRIORITY), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-printtoconsole", "Send trace/debug info to console (default: 1 when no -daemon. To disable logging to file, set -nodebuglogfile)", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-shrinkdebugfile", "Shrink debug.log file on client startup (default: 1 when no -debug)", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-printpriority", strprintf("Log transaction fee rate in " + CURRENCY_UNIT + "/kvB when mining blocks (default: %u)", DEFAULT_PRINTPRIORITY), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
argsman.AddArg("-uacomment=<cmt>", "Append comment to the user agent string", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
SetupChainParamsBaseOptions(argsman);
argsman.AddArg("-acceptnonstdtxn", strprintf("Relay and mine \"non-standard\" transactions (%sdefault: %u)", "testnet/regtest only; ", !testnetChainParams->RequireStandard()), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::NODE_RELAY);
- argsman.AddArg("-incrementalrelayfee=<amt>", strprintf("Fee rate (in %s/kB) used to define cost of relay, used for mempool limiting and BIP 125 replacement. (default: %s)", CURRENCY_UNIT, FormatMoney(DEFAULT_INCREMENTAL_RELAY_FEE)), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::NODE_RELAY);
- argsman.AddArg("-dustrelayfee=<amt>", strprintf("Fee rate (in %s/kB) used to define dust, the value of an output such that it will cost more than its value in fees at this fee rate to spend it. (default: %s)", CURRENCY_UNIT, FormatMoney(DUST_RELAY_TX_FEE)), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::NODE_RELAY);
+ argsman.AddArg("-incrementalrelayfee=<amt>", strprintf("Fee rate (in %s/kvB) used to define cost of relay, used for mempool limiting and BIP 125 replacement. (default: %s)", CURRENCY_UNIT, FormatMoney(DEFAULT_INCREMENTAL_RELAY_FEE)), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::NODE_RELAY);
+ argsman.AddArg("-dustrelayfee=<amt>", strprintf("Fee rate (in %s/kvB) used to define dust, the value of an output such that it will cost more than its value in fees at this fee rate to spend it. (default: %s)", CURRENCY_UNIT, FormatMoney(DUST_RELAY_TX_FEE)), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::NODE_RELAY);
argsman.AddArg("-bytespersigop", strprintf("Equivalent bytes per sigop in transactions for relay and mining (default: %u)", DEFAULT_BYTES_PER_SIGOP), ArgsManager::ALLOW_ANY, OptionsCategory::NODE_RELAY);
argsman.AddArg("-datacarrier", strprintf("Relay and mine data carrier transactions (default: %u)", DEFAULT_ACCEPT_DATACARRIER), ArgsManager::ALLOW_ANY, OptionsCategory::NODE_RELAY);
argsman.AddArg("-datacarriersize", strprintf("Maximum size of data in data carrier transactions we relay and mine (default: %u)", MAX_OP_RETURN_RELAY), ArgsManager::ALLOW_ANY, OptionsCategory::NODE_RELAY);
- argsman.AddArg("-minrelaytxfee=<amt>", strprintf("Fees (in %s/kB) smaller than this are considered zero fee for relaying, mining and transaction creation (default: %s)",
+ argsman.AddArg("-minrelaytxfee=<amt>", strprintf("Fees (in %s/kvB) smaller than this are considered zero fee for relaying, mining and transaction creation (default: %s)",
CURRENCY_UNIT, FormatMoney(DEFAULT_MIN_RELAY_TX_FEE)), ArgsManager::ALLOW_ANY, OptionsCategory::NODE_RELAY);
argsman.AddArg("-whitelistforcerelay", strprintf("Add 'forcerelay' permission to whitelisted inbound peers with default permissions. This will relay transactions even if the transactions were already in the mempool. (default: %d)", DEFAULT_WHITELISTFORCERELAY), ArgsManager::ALLOW_ANY, OptionsCategory::NODE_RELAY);
argsman.AddArg("-whitelistrelay", strprintf("Add 'relay' permission to whitelisted inbound peers with default permissions. This will accept relayed transactions even when not relaying transactions (default: %d)", DEFAULT_WHITELISTRELAY), ArgsManager::ALLOW_ANY, OptionsCategory::NODE_RELAY);
argsman.AddArg("-blockmaxweight=<n>", strprintf("Set maximum BIP141 block weight (default: %d)", DEFAULT_BLOCK_MAX_WEIGHT), ArgsManager::ALLOW_ANY, OptionsCategory::BLOCK_CREATION);
- argsman.AddArg("-blockmintxfee=<amt>", strprintf("Set lowest fee rate (in %s/kB) for transactions to be included in block creation. (default: %s)", CURRENCY_UNIT, FormatMoney(DEFAULT_BLOCK_MIN_TX_FEE)), ArgsManager::ALLOW_ANY, OptionsCategory::BLOCK_CREATION);
+ argsman.AddArg("-blockmintxfee=<amt>", strprintf("Set lowest fee rate (in %s/kvB) for transactions to be included in block creation. (default: %s)", CURRENCY_UNIT, FormatMoney(DEFAULT_BLOCK_MIN_TX_FEE)), ArgsManager::ALLOW_ANY, OptionsCategory::BLOCK_CREATION);
argsman.AddArg("-blockversion=<n>", "Override block version to test forking scenarios", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::BLOCK_CREATION);
argsman.AddArg("-rest", strprintf("Accept public REST requests (default: %u)", DEFAULT_REST_ENABLE), ArgsManager::ALLOW_ANY, OptionsCategory::RPC);
@@ -576,16 +574,22 @@ void SetupServerArgs(NodeContext& node)
argsman.AddArg("-rpcthreads=<n>", strprintf("Set the number of threads to service RPC calls (default: %d)", DEFAULT_HTTP_THREADS), ArgsManager::ALLOW_ANY, OptionsCategory::RPC);
argsman.AddArg("-rpcuser=<user>", "Username for JSON-RPC connections", ArgsManager::ALLOW_ANY | ArgsManager::SENSITIVE, OptionsCategory::RPC);
argsman.AddArg("-rpcwhitelist=<whitelist>", "Set a whitelist to filter incoming RPC calls for a specific user. The field <whitelist> comes in the format: <USERNAME>:<rpc 1>,<rpc 2>,...,<rpc n>. If multiple whitelists are set for a given user, they are set-intersected. See -rpcwhitelistdefault documentation for information on default whitelist behavior.", ArgsManager::ALLOW_ANY, OptionsCategory::RPC);
- argsman.AddArg("-rpcwhitelistdefault", "Sets default behavior for rpc whitelisting. Unless rpcwhitelistdefault is set to 0, if any -rpcwhitelist is set, the rpc server acts as if all rpc users are subject to empty-unless-otherwise-specified whitelists. If rpcwhitelistdefault is set to 1 and no -rpcwhitelist is set, rpc server acts as if all rpc users are subject to empty whitelists.", ArgsManager::ALLOW_BOOL, OptionsCategory::RPC);
+ argsman.AddArg("-rpcwhitelistdefault", "Sets default behavior for rpc whitelisting. Unless rpcwhitelistdefault is set to 0, if any -rpcwhitelist is set, the rpc server acts as if all rpc users are subject to empty-unless-otherwise-specified whitelists. If rpcwhitelistdefault is set to 1 and no -rpcwhitelist is set, rpc server acts as if all rpc users are subject to empty whitelists.", ArgsManager::ALLOW_ANY, OptionsCategory::RPC);
argsman.AddArg("-rpcworkqueue=<n>", strprintf("Set the depth of the work queue to service RPC calls (default: %d)", DEFAULT_HTTP_WORKQUEUE), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::RPC);
argsman.AddArg("-server", "Accept command line and JSON-RPC commands", ArgsManager::ALLOW_ANY, OptionsCategory::RPC);
-#if HAVE_DECL_DAEMON
- argsman.AddArg("-daemon", "Run in the background as a daemon and accept commands", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+#if HAVE_DECL_FORK
+ argsman.AddArg("-daemon", strprintf("Run in the background as a daemon and accept commands (default: %d)", DEFAULT_DAEMON), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-daemonwait", strprintf("Wait for initialization to be finished before exiting. This implies -daemon (default: %d)", DEFAULT_DAEMONWAIT), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
#else
hidden_args.emplace_back("-daemon");
+ hidden_args.emplace_back("-daemonwait");
#endif
+#if defined(USE_SYSCALL_SANDBOX)
+ argsman.AddArg("-sandbox=<mode>", "Use the experimental syscall sandbox in the specified mode (-sandbox=log-and-abort or -sandbox=abort). Allow only expected syscalls to be used by bitcoind. Note that this is an experimental new feature that may cause bitcoind to exit or crash unexpectedly: use with caution. In the \"log-and-abort\" mode the invocation of an unexpected syscall results in a debug handler being invoked which will log the incident and terminate the program (without executing the unexpected syscall). In the \"abort\" mode the invocation of an unexpected syscall results in the entire process being killed immediately by the kernel without executing the unexpected syscall.", ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+#endif // USE_SYSCALL_SANDBOX
+
// Add the hidden options
argsman.AddHiddenArgs(hidden_args);
}
@@ -624,61 +628,6 @@ static void BlockNotifyGenesisWait(const CBlockIndex* pBlockIndex)
}
}
-struct CImportingNow
-{
- CImportingNow() {
- assert(fImporting == false);
- fImporting = true;
- }
-
- ~CImportingNow() {
- assert(fImporting == true);
- fImporting = false;
- }
-};
-
-
-// If we're using -prune with -reindex, then delete block files that will be ignored by the
-// reindex. Since reindexing works by starting at block file 0 and looping until a blockfile
-// is missing, do the same here to delete any later block files after a gap. Also delete all
-// rev files since they'll be rewritten by the reindex anyway. This ensures that vinfoBlockFile
-// is in sync with what's actually on disk by the time we start downloading, so that pruning
-// works correctly.
-static void CleanupBlockRevFiles()
-{
- std::map<std::string, fs::path> mapBlockFiles;
-
- // Glob all blk?????.dat and rev?????.dat files from the blocks directory.
- // Remove the rev files immediately and insert the blk file paths into an
- // ordered map keyed by block file index.
- LogPrintf("Removing unusable blk?????.dat and rev?????.dat files for -reindex with -prune\n");
- fs::path blocksdir = GetBlocksDir();
- for (fs::directory_iterator it(blocksdir); it != fs::directory_iterator(); it++) {
- if (fs::is_regular_file(*it) &&
- it->path().filename().string().length() == 12 &&
- it->path().filename().string().substr(8,4) == ".dat")
- {
- if (it->path().filename().string().substr(0,3) == "blk")
- mapBlockFiles[it->path().filename().string().substr(3,5)] = it->path();
- else if (it->path().filename().string().substr(0,3) == "rev")
- remove(it->path());
- }
- }
-
- // Remove all block files that aren't part of a contiguous set starting at
- // zero by walking the ordered map (keys are block file indices) by
- // keeping a separate counter. Once we hit a gap (or if 0 doesn't exist)
- // start removing block files.
- int nContigCounter = 0;
- for (const std::pair<const std::string, fs::path>& item : mapBlockFiles) {
- if (atoi(item.first) == nContigCounter) {
- nContigCounter++;
- continue;
- }
- remove(item.second);
- }
-}
-
#if HAVE_SYSTEM
static void StartupNotify(const ArgsManager& args)
{
@@ -690,102 +639,7 @@ static void StartupNotify(const ArgsManager& args)
}
#endif
-static void ThreadImport(ChainstateManager& chainman, std::vector<fs::path> vImportFiles, const ArgsManager& args)
-{
- const CChainParams& chainparams = Params();
- ScheduleBatchPriority();
-
- {
- CImportingNow imp;
-
- // -reindex
- if (fReindex) {
- int nFile = 0;
- while (true) {
- FlatFilePos pos(nFile, 0);
- if (!fs::exists(GetBlockPosFilename(pos)))
- break; // No block files left to reindex
- FILE *file = OpenBlockFile(pos, true);
- if (!file)
- break; // This error is logged in OpenBlockFile
- LogPrintf("Reindexing block file blk%05u.dat...\n", (unsigned int)nFile);
- ::ChainstateActive().LoadExternalBlockFile(chainparams, file, &pos);
- if (ShutdownRequested()) {
- LogPrintf("Shutdown requested. Exit %s\n", __func__);
- return;
- }
- nFile++;
- }
- pblocktree->WriteReindexing(false);
- fReindex = false;
- LogPrintf("Reindexing finished\n");
- // To avoid ending up in a situation without genesis block, re-try initializing (no-op if reindexing worked):
- ::ChainstateActive().LoadGenesisBlock(chainparams);
- }
-
- // -loadblock=
- for (const fs::path& path : vImportFiles) {
- FILE *file = fsbridge::fopen(path, "rb");
- if (file) {
- LogPrintf("Importing blocks file %s...\n", path.string());
- ::ChainstateActive().LoadExternalBlockFile(chainparams, file);
- if (ShutdownRequested()) {
- LogPrintf("Shutdown requested. Exit %s\n", __func__);
- return;
- }
- } else {
- LogPrintf("Warning: Could not open blocks file %s\n", path.string());
- }
- }
-
- // scan for better chains in the block chain database, that are not yet connected in the active best chain
-
- // We can't hold cs_main during ActivateBestChain even though we're accessing
- // the chainman unique_ptrs since ABC requires us not to be holding cs_main, so retrieve
- // the relevant pointers before the ABC call.
- for (CChainState* chainstate : WITH_LOCK(::cs_main, return chainman.GetAll())) {
- BlockValidationState state;
- if (!chainstate->ActivateBestChain(state, chainparams, nullptr)) {
- LogPrintf("Failed to connect best block (%s)\n", state.ToString());
- StartShutdown();
- return;
- }
- }
-
- if (args.GetBoolArg("-stopafterblockimport", DEFAULT_STOPAFTERBLOCKIMPORT)) {
- LogPrintf("Stopping after block import\n");
- StartShutdown();
- return;
- }
- } // End scope of CImportingNow
- chainman.ActiveChainstate().LoadMempool(args);
-}
-
-/** Sanity checks
- * Ensure that Bitcoin is running in a usable environment with all
- * necessary library support.
- */
-static bool InitSanityCheck()
-{
- if (!ECC_InitSanityCheck()) {
- return InitError(Untranslated("Elliptic curve cryptography sanity check failure. Aborting."));
- }
-
- if (!glibc_sanity_test() || !glibcxx_sanity_test())
- return false;
-
- if (!Random_SanityCheck()) {
- return InitError(Untranslated("OS cryptographic RNG sanity check failure. Aborting."));
- }
-
- if (!ChronoSanityCheck()) {
- return InitError(Untranslated("Clock epoch mismatch. Aborting."));
- }
-
- return true;
-}
-
-static bool AppInitServers(const util::Ref& context, NodeContext& node)
+static bool AppInitServers(NodeContext& node)
{
const ArgsManager& args = *Assert(node.args);
RPCServer::OnStarted(&OnRPCStarted);
@@ -794,9 +648,9 @@ static bool AppInitServers(const util::Ref& context, NodeContext& node)
return false;
StartRPC();
node.rpc_interruption_point = RpcInterruptionPoint;
- if (!StartHTTPRPC(context))
+ if (!StartHTTPRPC(&node))
return false;
- if (args.GetBoolArg("-rest", DEFAULT_REST_ENABLE)) StartREST(context);
+ if (args.GetBoolArg("-rest", DEFAULT_REST_ENABLE)) StartREST(&node);
StartHTTPServer();
return true;
}
@@ -882,25 +736,8 @@ void InitParameterInteraction(ArgsManager& args)
*/
void InitLogging(const ArgsManager& args)
{
- LogInstance().m_print_to_file = !args.IsArgNegated("-debuglogfile");
- LogInstance().m_file_path = AbsPathForConfigVal(args.GetArg("-debuglogfile", DEFAULT_DEBUGLOGFILE));
- LogInstance().m_print_to_console = args.GetBoolArg("-printtoconsole", !args.GetBoolArg("-daemon", false));
- LogInstance().m_log_timestamps = args.GetBoolArg("-logtimestamps", DEFAULT_LOGTIMESTAMPS);
- LogInstance().m_log_time_micros = args.GetBoolArg("-logtimemicros", DEFAULT_LOGTIMEMICROS);
-#ifdef HAVE_THREAD_LOCAL
- LogInstance().m_log_threadnames = args.GetBoolArg("-logthreadnames", DEFAULT_LOGTHREADNAMES);
-#endif
- LogInstance().m_log_sourcelocations = args.GetBoolArg("-logsourcelocations", DEFAULT_LOGSOURCELOCATIONS);
-
- fLogIPs = args.GetBoolArg("-logips", DEFAULT_LOGIPS);
-
- std::string version_string = FormatFullVersion();
-#ifdef DEBUG
- version_string += " (debug build)";
-#else
- version_string += " (release build)";
-#endif
- LogPrintf(PACKAGE_NAME " version %s\n", version_string);
+ init::SetLoggingOptions(args);
+ init::LogPackageVersion();
}
namespace { // Variables internal to initialization process only
@@ -908,7 +745,7 @@ namespace { // Variables internal to initialization process only
int nMaxConnections;
int nUserMaxConnections;
int nFD;
-ServiceFlags nLocalServices = ServiceFlags(NODE_NETWORK | NODE_NETWORK_LIMITED);
+ServiceFlags nLocalServices = ServiceFlags(NODE_NETWORK | NODE_NETWORK_LIMITED | NODE_WITNESS);
int64_t peer_connect_timeout;
std::set<BlockFilterType> g_enabled_filter_types;
@@ -1005,7 +842,7 @@ bool AppInitParameterInteraction(const ArgsManager& args)
InitWarning(warnings);
}
- if (!fs::is_directory(GetBlocksDir())) {
+ if (!fs::is_directory(gArgs.GetBlocksDirPath())) {
return InitError(strprintf(_("Specified blocks directory \"%s\" does not exist."), args.GetArg("-blocksdir", "")));
}
@@ -1033,10 +870,17 @@ bool AppInitParameterInteraction(const ArgsManager& args)
nLocalServices = ServiceFlags(nLocalServices | NODE_COMPACT_FILTERS);
}
- // if using block pruning, then disallow txindex
- if (args.GetArg("-prune", 0)) {
+ // if using block pruning, then disallow txindex and coinstatsindex
+ if (args.GetIntArg("-prune", 0)) {
if (args.GetBoolArg("-txindex", DEFAULT_TXINDEX))
return InitError(_("Prune mode is incompatible with -txindex."));
+ if (args.GetBoolArg("-coinstatsindex", DEFAULT_COINSTATSINDEX))
+ return InitError(_("Prune mode is incompatible with -coinstatsindex."));
+ }
+
+ // If -forcednsseed is set to true, ensure -dnsseed has not been set to false
+ if (args.GetBoolArg("-forcednsseed", DEFAULT_FORCEDNSSEED) && !args.GetBoolArg("-dnsseed", DEFAULT_DNSSEED)){
+ return InitError(_("Cannot set -forcednsseed to true when setting -dnsseed to false."));
}
// -bind and -whitebind can't be set when not listening
@@ -1045,13 +889,16 @@ bool AppInitParameterInteraction(const ArgsManager& args)
return InitError(Untranslated("Cannot set -bind or -whitebind together with -listen=0"));
}
+ // if listen=0, then disallow listenonion=1
+ if (!args.GetBoolArg("-listen", DEFAULT_LISTEN) && args.GetBoolArg("-listenonion", DEFAULT_LISTEN_ONION)) {
+ return InitError(Untranslated("Cannot set -listen=0 together with -listenonion=1"));
+ }
+
// Make sure enough file descriptors are available
int nBind = std::max(nUserBind, size_t(1));
- nUserMaxConnections = args.GetArg("-maxconnections", DEFAULT_MAX_PEER_CONNECTIONS);
+ nUserMaxConnections = args.GetIntArg("-maxconnections", DEFAULT_MAX_PEER_CONNECTIONS);
nMaxConnections = std::max(nUserMaxConnections, 0);
- // Trim requested connection counts, to fit into system limitations
- // <int> in std::min<int>(...) to work around FreeBSD compilation issue described in #2695
nFD = RaiseFileDescriptorLimit(nMaxConnections + MIN_CORE_FILEDESCRIPTORS + MAX_ADDNODE_CONNECTIONS + nBind + NUM_FDS_MESSAGE_CAPTURE);
#ifdef USE_POLL
@@ -1059,6 +906,8 @@ bool AppInitParameterInteraction(const ArgsManager& args)
#else
int fd_max = FD_SETSIZE;
#endif
+ // Trim requested connection counts, to fit into system limitations
+ // <int> in std::min<int>(...) to work around FreeBSD compilation issue described in #2695
nMaxConnections = std::max(std::min<int>(nMaxConnections, fd_max - nBind - MIN_CORE_FILEDESCRIPTORS - MAX_ADDNODE_CONNECTIONS - NUM_FDS_MESSAGE_CAPTURE), 0);
if (nFD < MIN_CORE_FILEDESCRIPTORS)
return InitError(_("Not enough file descriptors available."));
@@ -1068,26 +917,7 @@ bool AppInitParameterInteraction(const ArgsManager& args)
InitWarning(strprintf(_("Reducing -maxconnections from %d to %d, because of system limitations."), nUserMaxConnections, nMaxConnections));
// ********************************************************* Step 3: parameter-to-internal-flags
- if (args.IsArgSet("-debug")) {
- // Special-case: if -debug=0/-nodebug is set, turn off debugging messages
- const std::vector<std::string> categories = args.GetArgs("-debug");
-
- if (std::none_of(categories.begin(), categories.end(),
- [](std::string cat){return cat == "0" || cat == "none";})) {
- for (const auto& cat : categories) {
- if (!LogInstance().EnableCategory(cat)) {
- InitWarning(strprintf(_("Unsupported logging category %s=%s."), "-debug", cat));
- }
- }
- }
- }
-
- // Now remove the logging categories which were explicitly excluded
- for (const std::string& cat : args.GetArgs("-debugexclude")) {
- if (!LogInstance().DisableCategory(cat)) {
- InitWarning(strprintf(_("Unsupported logging category %s=%s."), "-debugexclude", cat));
- }
- }
+ init::SetLoggingCategories(args);
fCheckBlockIndex = args.GetBoolArg("-checkblockindex", chainparams.DefaultConsistencyChecks());
fCheckpointsEnabled = args.GetBoolArg("-checkpoints", DEFAULT_CHECKPOINTS_ENABLED);
@@ -1113,21 +943,22 @@ bool AppInitParameterInteraction(const ArgsManager& args)
}
// mempool limits
- int64_t nMempoolSizeMax = args.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000;
- int64_t nMempoolSizeMin = args.GetArg("-limitdescendantsize", DEFAULT_DESCENDANT_SIZE_LIMIT) * 1000 * 40;
+ int64_t nMempoolSizeMax = args.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000;
+ int64_t nMempoolSizeMin = args.GetIntArg("-limitdescendantsize", DEFAULT_DESCENDANT_SIZE_LIMIT) * 1000 * 40;
if (nMempoolSizeMax < 0 || nMempoolSizeMax < nMempoolSizeMin)
return InitError(strprintf(_("-maxmempool must be at least %d MB"), std::ceil(nMempoolSizeMin / 1000000.0)));
// incremental relay fee sets the minimum feerate increase necessary for BIP 125 replacement in the mempool
// and the amount the mempool min fee increases above the feerate of txs evicted due to mempool limiting.
if (args.IsArgSet("-incrementalrelayfee")) {
- CAmount n = 0;
- if (!ParseMoney(args.GetArg("-incrementalrelayfee", ""), n))
+ if (std::optional<CAmount> inc_relay_fee = ParseMoney(args.GetArg("-incrementalrelayfee", ""))) {
+ ::incrementalRelayFee = CFeeRate{inc_relay_fee.value()};
+ } else {
return InitError(AmountErrMsg("incrementalrelayfee", args.GetArg("-incrementalrelayfee", "")));
- incrementalRelayFee = CFeeRate(n);
+ }
}
// block pruning; get the amount of disk space (in MiB) to allot for block & undo files
- int64_t nPruneArg = args.GetArg("-prune", 0);
+ int64_t nPruneArg = args.GetIntArg("-prune", 0);
if (nPruneArg < 0) {
return InitError(_("Prune cannot be configured with a negative value."));
}
@@ -1144,23 +975,23 @@ bool AppInitParameterInteraction(const ArgsManager& args)
fPruneMode = true;
}
- nConnectTimeout = args.GetArg("-timeout", DEFAULT_CONNECT_TIMEOUT);
+ nConnectTimeout = args.GetIntArg("-timeout", DEFAULT_CONNECT_TIMEOUT);
if (nConnectTimeout <= 0) {
nConnectTimeout = DEFAULT_CONNECT_TIMEOUT;
}
- peer_connect_timeout = args.GetArg("-peertimeout", DEFAULT_PEER_CONNECT_TIMEOUT);
+ peer_connect_timeout = args.GetIntArg("-peertimeout", DEFAULT_PEER_CONNECT_TIMEOUT);
if (peer_connect_timeout <= 0) {
return InitError(Untranslated("peertimeout cannot be configured with a negative value."));
}
if (args.IsArgSet("-minrelaytxfee")) {
- CAmount n = 0;
- if (!ParseMoney(args.GetArg("-minrelaytxfee", ""), n)) {
+ if (std::optional<CAmount> min_relay_fee = ParseMoney(args.GetArg("-minrelaytxfee", ""))) {
+ // High fee check is done afterward in CWallet::Create()
+ ::minRelayTxFee = CFeeRate{min_relay_fee.value()};
+ } else {
return InitError(AmountErrMsg("minrelaytxfee", args.GetArg("-minrelaytxfee", "")));
}
- // High fee check is done afterward in CWallet::Create()
- ::minRelayTxFee = CFeeRate(n);
} else if (incrementalRelayFee > ::minRelayTxFee) {
// Allow only setting incrementalRelayFee to control both
::minRelayTxFee = incrementalRelayFee;
@@ -1170,62 +1001,94 @@ bool AppInitParameterInteraction(const ArgsManager& args)
// Sanity check argument for min fee for including tx in block
// TODO: Harmonize which arguments need sanity checking and where that happens
if (args.IsArgSet("-blockmintxfee")) {
- CAmount n = 0;
- if (!ParseMoney(args.GetArg("-blockmintxfee", ""), n))
+ if (!ParseMoney(args.GetArg("-blockmintxfee", ""))) {
return InitError(AmountErrMsg("blockmintxfee", args.GetArg("-blockmintxfee", "")));
+ }
}
// Feerate used to define dust. Shouldn't be changed lightly as old
// implementations may inadvertently create non-standard transactions
if (args.IsArgSet("-dustrelayfee")) {
- CAmount n = 0;
- if (!ParseMoney(args.GetArg("-dustrelayfee", ""), n))
+ if (std::optional<CAmount> parsed = ParseMoney(args.GetArg("-dustrelayfee", ""))) {
+ dustRelayFee = CFeeRate{parsed.value()};
+ } else {
return InitError(AmountErrMsg("dustrelayfee", args.GetArg("-dustrelayfee", "")));
- dustRelayFee = CFeeRate(n);
+ }
}
fRequireStandard = !args.GetBoolArg("-acceptnonstdtxn", !chainparams.RequireStandard());
if (!chainparams.IsTestChain() && !fRequireStandard) {
return InitError(strprintf(Untranslated("acceptnonstdtxn is not currently supported for %s chain"), chainparams.NetworkIDString()));
}
- nBytesPerSigOp = args.GetArg("-bytespersigop", nBytesPerSigOp);
+ nBytesPerSigOp = args.GetIntArg("-bytespersigop", nBytesPerSigOp);
if (!g_wallet_init_interface.ParameterInteraction()) return false;
fIsBareMultisigStd = args.GetBoolArg("-permitbaremultisig", DEFAULT_PERMIT_BAREMULTISIG);
fAcceptDatacarrier = args.GetBoolArg("-datacarrier", DEFAULT_ACCEPT_DATACARRIER);
- nMaxDatacarrierBytes = args.GetArg("-datacarriersize", nMaxDatacarrierBytes);
+ nMaxDatacarrierBytes = args.GetIntArg("-datacarriersize", nMaxDatacarrierBytes);
// Option to startup with mocktime set (used for regression testing):
- SetMockTime(args.GetArg("-mocktime", 0)); // SetMockTime(0) is a no-op
+ SetMockTime(args.GetIntArg("-mocktime", 0)); // SetMockTime(0) is a no-op
if (args.GetBoolArg("-peerbloomfilters", DEFAULT_PEERBLOOMFILTERS))
nLocalServices = ServiceFlags(nLocalServices | NODE_BLOOM);
- if (args.GetArg("-rpcserialversion", DEFAULT_RPC_SERIALIZE_VERSION) < 0)
+ if (args.GetIntArg("-rpcserialversion", DEFAULT_RPC_SERIALIZE_VERSION) < 0)
return InitError(Untranslated("rpcserialversion must be non-negative."));
- if (args.GetArg("-rpcserialversion", DEFAULT_RPC_SERIALIZE_VERSION) > 1)
+ if (args.GetIntArg("-rpcserialversion", DEFAULT_RPC_SERIALIZE_VERSION) > 1)
return InitError(Untranslated("Unknown rpcserialversion requested."));
- nMaxTipAge = args.GetArg("-maxtipage", DEFAULT_MAX_TIP_AGE);
+ nMaxTipAge = args.GetIntArg("-maxtipage", DEFAULT_MAX_TIP_AGE);
if (args.IsArgSet("-proxy") && args.GetArg("-proxy", "").empty()) {
return InitError(_("No proxy server specified. Use -proxy=<ip> or -proxy=<ip:port>."));
}
+#if defined(USE_SYSCALL_SANDBOX)
+ if (args.IsArgSet("-sandbox") && !args.IsArgNegated("-sandbox")) {
+ const std::string sandbox_arg{args.GetArg("-sandbox", "")};
+ bool log_syscall_violation_before_terminating{false};
+ if (sandbox_arg == "log-and-abort") {
+ log_syscall_violation_before_terminating = true;
+ } else if (sandbox_arg == "abort") {
+ // log_syscall_violation_before_terminating is false by default.
+ } else {
+ return InitError(Untranslated("Unknown syscall sandbox mode (-sandbox=<mode>). Available modes are \"log-and-abort\" and \"abort\"."));
+ }
+ // execve(...) is not allowed by the syscall sandbox.
+ const std::vector<std::string> features_using_execve{
+ "-alertnotify",
+ "-blocknotify",
+ "-signer",
+ "-startupnotify",
+ "-walletnotify",
+ };
+ for (const std::string& feature_using_execve : features_using_execve) {
+ if (!args.GetArg(feature_using_execve, "").empty()) {
+ return InitError(Untranslated(strprintf("The experimental syscall sandbox feature (-sandbox=<mode>) is incompatible with %s (which uses execve).", feature_using_execve)));
+ }
+ }
+ if (!SetupSyscallSandbox(log_syscall_violation_before_terminating)) {
+ return InitError(Untranslated("Installation of the syscall sandbox failed."));
+ }
+ LogPrintf("Experimental syscall sandbox enabled (-sandbox=%s): bitcoind will terminate if an unexpected (not allowlisted) syscall is invoked.\n", sandbox_arg);
+ }
+#endif // USE_SYSCALL_SANDBOX
+
return true;
}
static bool LockDataDirectory(bool probeOnly)
{
// Make sure only a single Bitcoin process is using the data directory.
- fs::path datadir = GetDataDir();
+ fs::path datadir = gArgs.GetDataDirNet();
if (!DirIsWritable(datadir)) {
- return InitError(strprintf(_("Cannot write to data directory '%s'; check permissions."), datadir.string()));
+ return InitError(strprintf(_("Cannot write to data directory '%s'; check permissions."), fs::PathToString(datadir)));
}
if (!LockDirectory(datadir, ".lock", probeOnly)) {
- return InitError(strprintf(_("Cannot obtain a lock on data directory %s. %s is probably already running."), datadir.string(), PACKAGE_NAME));
+ return InitError(strprintf(_("Cannot obtain a lock on data directory %s. %s is probably already running."), fs::PathToString(datadir), PACKAGE_NAME));
}
return true;
}
@@ -1234,16 +1097,11 @@ bool AppInitSanityChecks()
{
// ********************************************************* Step 4: sanity checks
- // Initialize elliptic curve code
- std::string sha256_algo = SHA256AutoDetect();
- LogPrintf("Using the '%s' SHA256 implementation\n", sha256_algo);
- RandomInit();
- ECC_Start();
- globalVerifyHandle.reset(new ECCVerifyHandle());
+ init::SetGlobals();
- // Sanity check
- if (!InitSanityCheck())
+ if (!init::SanityChecks()) {
return InitError(strprintf(_("Initialization sanity check failed. %s is shutting down."), PACKAGE_NAME));
+ }
// Probe the data directory lock to give an early error message, if possible
// We cannot hold the data directory lock here, as the forking for daemon() hasn't yet happened,
@@ -1265,71 +1123,45 @@ bool AppInitLockDataDirectory()
bool AppInitInterfaces(NodeContext& node)
{
- node.chain = interfaces::MakeChain(node);
- // Create client interfaces for wallets that are supposed to be loaded
- // according to -wallet and -disablewallet options. This only constructs
- // the interfaces, it doesn't load wallet data. Wallets actually get loaded
- // when load() and start() interface methods are called below.
- g_wallet_init_interface.Construct(node);
+ node.chain = node.init->makeChain();
return true;
}
-bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockAndHeaderTipInfo* tip_info)
+bool AppInitMain(NodeContext& node, interfaces::BlockAndHeaderTipInfo* tip_info)
{
const ArgsManager& args = *Assert(node.args);
const CChainParams& chainparams = Params();
+
+ auto opt_max_upload = ParseByteUnits(args.GetArg("-maxuploadtarget", DEFAULT_MAX_UPLOAD_TARGET), ByteUnit::M);
+ if (!opt_max_upload) {
+ return InitError(strprintf(_("Unable to parse -maxuploadtarget: '%s'"), args.GetArg("-maxuploadtarget", "")));
+ }
+
// ********************************************************* Step 4a: application initialization
if (!CreatePidFile(args)) {
// Detailed error printed inside CreatePidFile().
return false;
}
- if (LogInstance().m_print_to_file) {
- if (args.GetBoolArg("-shrinkdebugfile", LogInstance().DefaultShrinkDebugFile())) {
- // Do this first since it both loads a bunch of debug.log into memory,
- // and because this needs to happen before any other debug.log printing
- LogInstance().ShrinkDebugFile();
- }
- }
- if (!LogInstance().StartLogging()) {
- return InitError(strprintf(Untranslated("Could not open debug log file %s"),
- LogInstance().m_file_path.string()));
- }
-
- if (!LogInstance().m_log_timestamps)
- LogPrintf("Startup time: %s\n", FormatISO8601DateTime(GetTime()));
- LogPrintf("Default data directory %s\n", GetDefaultDataDir().string());
- LogPrintf("Using data directory %s\n", GetDataDir().string());
-
- // Only log conf file usage message if conf file actually exists.
- fs::path config_file_path = GetConfigFile(args.GetArg("-conf", BITCOIN_CONF_FILENAME));
- if (fs::exists(config_file_path)) {
- LogPrintf("Config file: %s\n", config_file_path.string());
- } else if (args.IsArgSet("-conf")) {
- // Warn if no conf file exists at path provided by user
- InitWarning(strprintf(_("The specified config file %s does not exist\n"), config_file_path.string()));
- } else {
- // Not categorizing as "Warning" because it's the default behavior
- LogPrintf("Config file: %s (not found, skipping)\n", config_file_path.string());
+ if (!init::StartLogging(args)) {
+ // Detailed error printed inside StartLogging().
+ return false;
}
- // Log the config arguments to debug.log
- args.LogArgs();
-
LogPrintf("Using at most %i automatic connections (%i file descriptors available)\n", nMaxConnections, nFD);
// Warn about relative -datadir path.
- if (args.IsArgSet("-datadir") && !fs::path(args.GetArg("-datadir", "")).is_absolute()) {
+ if (args.IsArgSet("-datadir") && !args.GetPathArg("-datadir").is_absolute()) {
LogPrintf("Warning: relative datadir option '%s' specified, which will be interpreted relative to the " /* Continued */
"current working directory '%s'. This is fragile, because if bitcoin is started in the future "
"from a different location, it will be unable to locate the current data files. There could "
"also be data loss if bitcoin is started while in a temporary directory.\n",
- args.GetArg("-datadir", ""), fs::current_path().string());
+ args.GetArg("-datadir", ""), fs::PathToString(fs::current_path()));
}
InitSignatureCache();
InitScriptExecutionCache();
- int script_threads = args.GetArg("-par", DEFAULT_SCRIPTCHECK_THREADS);
+ int script_threads = args.GetIntArg("-par", DEFAULT_SCRIPTCHECK_THREADS);
if (script_threads <= 0) {
// -par=0 means autodetect (number of cores - 1 script threads)
// -par=-n means "leave n cores free" (number of cores - n - 1 script threads)
@@ -1349,10 +1181,10 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
}
assert(!node.scheduler);
- node.scheduler = MakeUnique<CScheduler>();
+ node.scheduler = std::make_unique<CScheduler>();
// Start the lightweight task scheduler thread
- node.scheduler->m_service_thread = std::thread([&] { TraceThread("scheduler", [&] { node.scheduler->serviceQueue(); }); });
+ node.scheduler->m_service_thread = std::thread(util::TraceThread, "scheduler", [&] { node.scheduler->serviceQueue(); });
// Gather some entropy once per minute.
node.scheduler->scheduleEvery([]{
@@ -1361,6 +1193,13 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
GetMainSignals().RegisterBackgroundSignalScheduler(*node.scheduler);
+ // Create client interfaces for wallets that are supposed to be loaded
+ // according to -wallet and -disablewallet options. This only constructs
+ // the interfaces, it doesn't load wallet data. Wallets actually get loaded
+ // when load() and start() interface methods are called below.
+ g_wallet_init_interface.Construct(node);
+ uiInterface.InitWallet();
+
/* Register RPC commands regardless of -server setting so they will be
* available in the GUI RPC console even if external calls are disabled.
*/
@@ -1379,7 +1218,7 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
*/
if (args.GetBoolArg("-server", false)) {
uiInterface.InitMessage_connect(SetRPCWarmupStatus);
- if (!AppInitServers(context, node))
+ if (!AppInitServers(node))
return InitError(_("Unable to start HTTP server. See debug log for details."));
}
@@ -1400,10 +1239,45 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
fDiscover = args.GetBoolArg("-discover", true);
const bool ignores_incoming_txs{args.GetBoolArg("-blocksonly", DEFAULT_BLOCKSONLY)};
+ {
+ // Initialize addrman
+ assert(!node.addrman);
+
+ // Read asmap file if configured
+ std::vector<bool> asmap;
+ if (args.IsArgSet("-asmap")) {
+ fs::path asmap_path = fs::PathFromString(args.GetArg("-asmap", ""));
+ if (asmap_path.empty()) {
+ asmap_path = fs::PathFromString(DEFAULT_ASMAP_FILENAME);
+ }
+ if (!asmap_path.is_absolute()) {
+ asmap_path = gArgs.GetDataDirNet() / asmap_path;
+ }
+ if (!fs::exists(asmap_path)) {
+ InitError(strprintf(_("Could not find asmap file %s"), fs::quoted(fs::PathToString(asmap_path))));
+ return false;
+ }
+ asmap = DecodeAsmap(asmap_path);
+ if (asmap.size() == 0) {
+ InitError(strprintf(_("Could not parse asmap file %s"), fs::quoted(fs::PathToString(asmap_path))));
+ return false;
+ }
+ const uint256 asmap_version = SerializeHash(asmap);
+ LogPrintf("Using asmap version %s for IP bucketing\n", asmap_version.ToString());
+ } else {
+ LogPrintf("Using /16 prefix for IP bucketing\n");
+ }
+
+ uiInterface.InitMessage(_("Loading P2P addresses…").translated);
+ if (const auto error{LoadAddrman(asmap, args, node.addrman)}) {
+ return InitError(*error);
+ }
+ }
+
assert(!node.banman);
- node.banman = MakeUnique<BanMan>(GetDataDir() / "banlist.dat", &uiInterface, args.GetArg("-bantime", DEFAULT_MISBEHAVING_BANTIME));
+ node.banman = std::make_unique<BanMan>(gArgs.GetDataDirNet() / "banlist", &uiInterface, args.GetIntArg("-bantime", DEFAULT_MISBEHAVING_BANTIME));
assert(!node.connman);
- node.connman = MakeUnique<CConnman>(GetRand(std::numeric_limits<uint64_t>::max()), GetRand(std::numeric_limits<uint64_t>::max()), args.GetBoolArg("-networkactive", true));
+ node.connman = std::make_unique<CConnman>(GetRand(std::numeric_limits<uint64_t>::max()), GetRand(std::numeric_limits<uint64_t>::max()), *node.addrman, args.GetBoolArg("-networkactive", true));
assert(!node.fee_estimator);
// Don't initialize fee estimation with old data if we don't relay transactions,
@@ -1411,16 +1285,16 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
if (!ignores_incoming_txs) node.fee_estimator = std::make_unique<CBlockPolicyEstimator>();
assert(!node.mempool);
- int check_ratio = std::min<int>(std::max<int>(args.GetArg("-checkmempool", chainparams.DefaultConsistencyChecks() ? 1 : 0), 0), 1000000);
+ int check_ratio = std::min<int>(std::max<int>(args.GetIntArg("-checkmempool", chainparams.DefaultConsistencyChecks() ? 1 : 0), 0), 1000000);
node.mempool = std::make_unique<CTxMemPool>(node.fee_estimator.get(), check_ratio);
assert(!node.chainman);
- node.chainman = &g_chainman;
- ChainstateManager& chainman = *Assert(node.chainman);
+ node.chainman = std::make_unique<ChainstateManager>();
+ ChainstateManager& chainman = *node.chainman;
assert(!node.peerman);
- node.peerman = PeerManager::make(chainparams, *node.connman, node.banman.get(),
- *node.scheduler, chainman, *node.mempool, ignores_incoming_txs);
+ node.peerman = PeerManager::make(chainparams, *node.connman, *node.addrman, node.banman.get(),
+ chainman, *node.mempool, ignores_incoming_txs);
RegisterValidationInterface(node.peerman.get());
// sanitize comments per BIP-0014, format user agent and check total size
@@ -1451,6 +1325,14 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
}
}
+ if (!args.IsArgSet("-cjdnsreachable")) {
+ SetReachable(NET_CJDNS, false);
+ }
+ // Now IsReachable(NET_CJDNS) is true if:
+ // 1. -cjdnsreachable is given and
+ // 2.1. -onlynet is not given or
+ // 2.2. -onlynet=cjdns is given
+
// Check for host lookup allowed before parsing any network related parameters
fNameLookup = args.GetBoolArg("-dns", DEFAULT_NAME_LOOKUP);
@@ -1472,6 +1354,7 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
SetProxy(NET_IPV4, addrProxy);
SetProxy(NET_IPV6, addrProxy);
SetProxy(NET_ONION, addrProxy);
+ SetProxy(NET_CJDNS, addrProxy);
SetNameProxy(addrProxy);
SetReachable(NET_ONION, true); // by default, -proxy sets onion as reachable, unless -noonion later
}
@@ -1504,31 +1387,6 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
return InitError(ResolveErrMsg("externalip", strAddr));
}
- // Read asmap file if configured
- if (args.IsArgSet("-asmap")) {
- fs::path asmap_path = fs::path(args.GetArg("-asmap", ""));
- if (asmap_path.empty()) {
- asmap_path = DEFAULT_ASMAP_FILENAME;
- }
- if (!asmap_path.is_absolute()) {
- asmap_path = GetDataDir() / asmap_path;
- }
- if (!fs::exists(asmap_path)) {
- InitError(strprintf(_("Could not find asmap file %s"), asmap_path));
- return false;
- }
- std::vector<bool> asmap = CAddrMan::DecodeAsmap(asmap_path);
- if (asmap.size() == 0) {
- InitError(strprintf(_("Could not parse asmap file %s"), asmap_path));
- return false;
- }
- const uint256 asmap_version = SerializeHash(asmap);
- node.connman->SetAsmap(std::move(asmap));
- LogPrintf("Using asmap version %s for IP bucketing\n", asmap_version.ToString());
- } else {
- LogPrintf("Using /16 prefix for IP bucketing\n");
- }
-
#if ENABLE_ZMQ
g_zmq_notification_interface = CZMQNotificationInterface::Create();
@@ -1543,231 +1401,124 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
bool fReindexChainState = args.GetBoolArg("-reindex-chainstate", false);
// cache size calculations
- int64_t nTotalCache = (args.GetArg("-dbcache", nDefaultDbCache) << 20);
- nTotalCache = std::max(nTotalCache, nMinDbCache << 20); // total cache cannot be less than nMinDbCache
- nTotalCache = std::min(nTotalCache, nMaxDbCache << 20); // total cache cannot be greater than nMaxDbcache
- int64_t nBlockTreeDBCache = std::min(nTotalCache / 8, nMaxBlockDBCache << 20);
- nTotalCache -= nBlockTreeDBCache;
- int64_t nTxIndexCache = std::min(nTotalCache / 8, args.GetBoolArg("-txindex", DEFAULT_TXINDEX) ? nMaxTxIndexCache << 20 : 0);
- nTotalCache -= nTxIndexCache;
- int64_t filter_index_cache = 0;
- if (!g_enabled_filter_types.empty()) {
- size_t n_indexes = g_enabled_filter_types.size();
- int64_t max_cache = std::min(nTotalCache / 8, max_filter_index_cache << 20);
- filter_index_cache = max_cache / n_indexes;
- nTotalCache -= filter_index_cache * n_indexes;
- }
- int64_t nCoinDBCache = std::min(nTotalCache / 2, (nTotalCache / 4) + (1 << 23)); // use 25%-50% of the remainder for disk cache
- nCoinDBCache = std::min(nCoinDBCache, nMaxCoinsDBCache << 20); // cap total coins db cache
- nTotalCache -= nCoinDBCache;
- int64_t nCoinCacheUsage = nTotalCache; // the rest goes to in-memory cache
- int64_t nMempoolSizeMax = args.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000;
+ CacheSizes cache_sizes = CalculateCacheSizes(args, g_enabled_filter_types.size());
+
+ int64_t nMempoolSizeMax = args.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000;
LogPrintf("Cache configuration:\n");
- LogPrintf("* Using %.1f MiB for block index database\n", nBlockTreeDBCache * (1.0 / 1024 / 1024));
+ LogPrintf("* Using %.1f MiB for block index database\n", cache_sizes.block_tree_db * (1.0 / 1024 / 1024));
if (args.GetBoolArg("-txindex", DEFAULT_TXINDEX)) {
- LogPrintf("* Using %.1f MiB for transaction index database\n", nTxIndexCache * (1.0 / 1024 / 1024));
+ LogPrintf("* Using %.1f MiB for transaction index database\n", cache_sizes.tx_index * (1.0 / 1024 / 1024));
}
for (BlockFilterType filter_type : g_enabled_filter_types) {
LogPrintf("* Using %.1f MiB for %s block filter index database\n",
- filter_index_cache * (1.0 / 1024 / 1024), BlockFilterTypeName(filter_type));
+ cache_sizes.filter_index * (1.0 / 1024 / 1024), BlockFilterTypeName(filter_type));
}
- LogPrintf("* Using %.1f MiB for chain state database\n", nCoinDBCache * (1.0 / 1024 / 1024));
- LogPrintf("* Using %.1f MiB for in-memory UTXO set (plus up to %.1f MiB of unused mempool space)\n", nCoinCacheUsage * (1.0 / 1024 / 1024), nMempoolSizeMax * (1.0 / 1024 / 1024));
+ LogPrintf("* Using %.1f MiB for chain state database\n", cache_sizes.coins_db * (1.0 / 1024 / 1024));
+ LogPrintf("* Using %.1f MiB for in-memory UTXO set (plus up to %.1f MiB of unused mempool space)\n", cache_sizes.coins * (1.0 / 1024 / 1024), nMempoolSizeMax * (1.0 / 1024 / 1024));
bool fLoaded = false;
while (!fLoaded && !ShutdownRequested()) {
- bool fReset = fReindex;
- auto is_coinsview_empty = [&](CChainState* chainstate) EXCLUSIVE_LOCKS_REQUIRED(::cs_main) {
- return fReset || fReindexChainState || chainstate->CoinsTip().GetBestBlock().IsNull();
- };
+ const bool fReset = fReindex;
bilingual_str strLoadError;
- uiInterface.InitMessage(_("Loading block index...").translated);
-
- do {
- const int64_t load_block_index_start_time = GetTimeMillis();
- try {
- LOCK(cs_main);
- chainman.InitializeChainstate(*Assert(node.mempool));
- chainman.m_total_coinstip_cache = nCoinCacheUsage;
- chainman.m_total_coinsdb_cache = nCoinDBCache;
-
- UnloadBlockIndex(node.mempool.get(), chainman);
-
- // new CBlockTreeDB tries to delete the existing file, which
- // fails if it's still open from the previous loop. Close it first:
- pblocktree.reset();
- pblocktree.reset(new CBlockTreeDB(nBlockTreeDBCache, false, fReset));
-
- if (fReset) {
- pblocktree->WriteReindexing(true);
- //If we're reindexing in prune mode, wipe away unusable block files and all undo data files
- if (fPruneMode)
- CleanupBlockRevFiles();
- }
-
- if (ShutdownRequested()) break;
-
- // LoadBlockIndex will load fHavePruned if we've ever removed a
- // block file from disk.
- // Note that it also sets fReindex based on the disk flag!
- // From here on out fReindex and fReset mean something different!
- if (!chainman.LoadBlockIndex(chainparams)) {
- if (ShutdownRequested()) break;
- strLoadError = _("Error loading block database");
- break;
- }
-
+ uiInterface.InitMessage(_("Loading block index…").translated);
+ const int64_t load_block_index_start_time = GetTimeMillis();
+ std::optional<ChainstateLoadingError> maybe_load_error;
+ try {
+ maybe_load_error = LoadChainstate(fReset,
+ chainman,
+ Assert(node.mempool.get()),
+ fPruneMode,
+ chainparams.GetConsensus(),
+ fReindexChainState,
+ cache_sizes.block_tree_db,
+ cache_sizes.coins_db,
+ cache_sizes.coins,
+ /*block_tree_db_in_memory=*/false,
+ /*coins_db_in_memory=*/false,
+ /*shutdown_requested=*/ShutdownRequested,
+ /*coins_error_cb=*/[]() {
+ uiInterface.ThreadSafeMessageBox(
+ _("Error reading from database, shutting down."),
+ "", CClientUIInterface::MSG_ERROR);
+ });
+ } catch (const std::exception& e) {
+ LogPrintf("%s\n", e.what());
+ maybe_load_error = ChainstateLoadingError::ERROR_GENERIC_BLOCKDB_OPEN_FAILED;
+ }
+ if (maybe_load_error.has_value()) {
+ switch (maybe_load_error.value()) {
+ case ChainstateLoadingError::ERROR_LOADING_BLOCK_DB:
+ strLoadError = _("Error loading block database");
+ break;
+ case ChainstateLoadingError::ERROR_BAD_GENESIS_BLOCK:
// If the loaded chain has a wrong genesis, bail out immediately
// (we're likely using a testnet datadir, or the other way around).
- if (!chainman.BlockIndex().empty() &&
- !g_chainman.m_blockman.LookupBlockIndex(chainparams.GetConsensus().hashGenesisBlock)) {
- return InitError(_("Incorrect or no genesis block found. Wrong datadir for network?"));
- }
-
- // Check for changed -prune state. What we are concerned about is a user who has pruned blocks
- // in the past, but is now trying to run unpruned.
- if (fHavePruned && !fPruneMode) {
- strLoadError = _("You need to rebuild the database using -reindex to go back to unpruned mode. This will redownload the entire blockchain");
- break;
- }
-
- // At this point blocktree args are consistent with what's on disk.
- // If we're not mid-reindex (based on disk + args), add a genesis block on disk
- // (otherwise we use the one already on disk).
- // This is called again in ThreadImport after the reindex completes.
- if (!fReindex && !::ChainstateActive().LoadGenesisBlock(chainparams)) {
- strLoadError = _("Error initializing block database");
- break;
- }
-
- // At this point we're either in reindex or we've loaded a useful
- // block tree into BlockIndex()!
-
- bool failed_chainstate_init = false;
-
- for (CChainState* chainstate : chainman.GetAll()) {
- chainstate->InitCoinsDB(
- /* cache_size_bytes */ nCoinDBCache,
- /* in_memory */ false,
- /* should_wipe */ fReset || fReindexChainState);
-
- chainstate->CoinsErrorCatcher().AddReadErrCallback([]() {
- uiInterface.ThreadSafeMessageBox(
- _("Error reading from database, shutting down."),
- "", CClientUIInterface::MSG_ERROR);
- });
-
- // If necessary, upgrade from older database format.
- // This is a no-op if we cleared the coinsviewdb with -reindex or -reindex-chainstate
- if (!chainstate->CoinsDB().Upgrade()) {
- strLoadError = _("Error upgrading chainstate database");
- failed_chainstate_init = true;
- break;
- }
-
- // ReplayBlocks is a no-op if we cleared the coinsviewdb with -reindex or -reindex-chainstate
- if (!chainstate->ReplayBlocks(chainparams)) {
- strLoadError = _("Unable to replay blocks. You will need to rebuild the database using -reindex-chainstate.");
- failed_chainstate_init = true;
- break;
- }
-
- // The on-disk coinsdb is now in a good state, create the cache
- chainstate->InitCoinsCache(nCoinCacheUsage);
- assert(chainstate->CanFlushToDisk());
-
- if (!is_coinsview_empty(chainstate)) {
- // LoadChainTip initializes the chain based on CoinsTip()'s best block
- if (!chainstate->LoadChainTip(chainparams)) {
- strLoadError = _("Error initializing block database");
- failed_chainstate_init = true;
- break; // out of the per-chainstate loop
- }
- assert(chainstate->m_chain.Tip() != nullptr);
- }
- }
-
- if (failed_chainstate_init) {
- break; // out of the chainstate activation do-while
- }
- } catch (const std::exception& e) {
- LogPrintf("%s\n", e.what());
+ return InitError(_("Incorrect or no genesis block found. Wrong datadir for network?"));
+ case ChainstateLoadingError::ERROR_PRUNED_NEEDS_REINDEX:
+ strLoadError = _("You need to rebuild the database using -reindex to go back to unpruned mode. This will redownload the entire blockchain");
+ break;
+ case ChainstateLoadingError::ERROR_LOAD_GENESIS_BLOCK_FAILED:
+ strLoadError = _("Error initializing block database");
+ break;
+ case ChainstateLoadingError::ERROR_CHAINSTATE_UPGRADE_FAILED:
+ strLoadError = _("Error upgrading chainstate database");
+ break;
+ case ChainstateLoadingError::ERROR_REPLAYBLOCKS_FAILED:
+ strLoadError = _("Unable to replay blocks. You will need to rebuild the database using -reindex-chainstate.");
+ break;
+ case ChainstateLoadingError::ERROR_LOADCHAINTIP_FAILED:
+ strLoadError = _("Error initializing block database");
+ break;
+ case ChainstateLoadingError::ERROR_GENERIC_BLOCKDB_OPEN_FAILED:
strLoadError = _("Error opening block database");
break;
+ case ChainstateLoadingError::ERROR_BLOCKS_WITNESS_INSUFFICIENTLY_VALIDATED:
+ strLoadError = strprintf(_("Witness data for blocks after height %d requires validation. Please restart with -reindex."),
+ chainparams.GetConsensus().SegwitHeight);
+ break;
+ case ChainstateLoadingError::SHUTDOWN_PROBED:
+ break;
}
-
- bool failed_rewind{false};
- // Can't hold cs_main while calling RewindBlockIndex, so retrieve the relevant
- // chainstates beforehand.
- for (CChainState* chainstate : WITH_LOCK(::cs_main, return chainman.GetAll())) {
- if (!fReset) {
- // Note that RewindBlockIndex MUST run even if we're about to -reindex-chainstate.
- // It both disconnects blocks based on the chainstate, and drops block data in
- // BlockIndex() based on lack of available witness data.
- uiInterface.InitMessage(_("Rewinding blocks...").translated);
- if (!chainstate->RewindBlockIndex(chainparams)) {
- strLoadError = _(
- "Unable to rewind the database to a pre-fork state. "
- "You will need to redownload the blockchain");
- failed_rewind = true;
- break; // out of the per-chainstate loop
- }
- }
- }
-
- if (failed_rewind) {
- break; // out of the chainstate activation do-while
- }
-
- bool failed_verification = false;
-
+ } else {
+ std::optional<ChainstateLoadVerifyError> maybe_verify_error;
try {
- LOCK(cs_main);
-
- for (CChainState* chainstate : chainman.GetAll()) {
- if (!is_coinsview_empty(chainstate)) {
- uiInterface.InitMessage(_("Verifying blocks...").translated);
- if (fHavePruned && args.GetArg("-checkblocks", DEFAULT_CHECKBLOCKS) > MIN_BLOCKS_TO_KEEP) {
- LogPrintf("Prune: pruned datadir may not have more than %d blocks; only checking available blocks\n",
- MIN_BLOCKS_TO_KEEP);
- }
-
- const CBlockIndex* tip = chainstate->m_chain.Tip();
- RPCNotifyBlockChange(tip);
- if (tip && tip->nTime > GetAdjustedTime() + 2 * 60 * 60) {
- strLoadError = _("The block database contains a block which appears to be from the future. "
- "This may be due to your computer's date and time being set incorrectly. "
- "Only rebuild the block database if you are sure that your computer's date and time are correct");
- failed_verification = true;
- break;
- }
-
- // Only verify the DB of the active chainstate. This is fixed in later
- // work when we allow VerifyDB to be parameterized by chainstate.
- if (&::ChainstateActive() == chainstate &&
- !CVerifyDB().VerifyDB(
- chainparams, *chainstate, &chainstate->CoinsDB(),
- args.GetArg("-checklevel", DEFAULT_CHECKLEVEL),
- args.GetArg("-checkblocks", DEFAULT_CHECKBLOCKS))) {
- strLoadError = _("Corrupted block database detected");
- failed_verification = true;
- break;
- }
- }
+ uiInterface.InitMessage(_("Verifying blocks…").translated);
+ auto check_blocks = args.GetIntArg("-checkblocks", DEFAULT_CHECKBLOCKS);
+ if (fHavePruned && check_blocks > MIN_BLOCKS_TO_KEEP) {
+ LogPrintf("Prune: pruned datadir may not have more than %d blocks; only checking available blocks\n",
+ MIN_BLOCKS_TO_KEEP);
}
+ maybe_verify_error = VerifyLoadedChainstate(chainman,
+ fReset,
+ fReindexChainState,
+ chainparams.GetConsensus(),
+ check_blocks,
+ args.GetIntArg("-checklevel", DEFAULT_CHECKLEVEL),
+ /*get_unix_time_seconds=*/static_cast<int64_t(*)()>(GetTime));
} catch (const std::exception& e) {
LogPrintf("%s\n", e.what());
- strLoadError = _("Error opening block database");
- failed_verification = true;
- break;
+ maybe_verify_error = ChainstateLoadVerifyError::ERROR_GENERIC_FAILURE;
}
-
- if (!failed_verification) {
+ if (maybe_verify_error.has_value()) {
+ switch (maybe_verify_error.value()) {
+ case ChainstateLoadVerifyError::ERROR_BLOCK_FROM_FUTURE:
+ strLoadError = _("The block database contains a block which appears to be from the future. "
+ "This may be due to your computer's date and time being set incorrectly. "
+ "Only rebuild the block database if you are sure that your computer's date and time are correct");
+ break;
+ case ChainstateLoadVerifyError::ERROR_CORRUPTED_BLOCK_DB:
+ strLoadError = _("Corrupted block database detected");
+ break;
+ case ChainstateLoadVerifyError::ERROR_GENERIC_FAILURE:
+ strLoadError = _("Error opening block database");
+ break;
+ }
+ } else {
fLoaded = true;
LogPrintf(" block index %15dms\n", GetTimeMillis() - load_block_index_start_time);
}
- } while(false);
+ }
if (!fLoaded && !ShutdownRequested()) {
// first suggest a reindex
@@ -1799,13 +1550,28 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
// ********************************************************* Step 8: start indexers
if (args.GetBoolArg("-txindex", DEFAULT_TXINDEX)) {
- g_txindex = MakeUnique<TxIndex>(nTxIndexCache, false, fReindex);
- g_txindex->Start();
+ if (const auto error{CheckLegacyTxindex(*Assert(chainman.m_blockman.m_block_tree_db))}) {
+ return InitError(*error);
+ }
+
+ g_txindex = std::make_unique<TxIndex>(cache_sizes.tx_index, false, fReindex);
+ if (!g_txindex->Start(chainman.ActiveChainstate())) {
+ return false;
+ }
}
for (const auto& filter_type : g_enabled_filter_types) {
- InitBlockFilterIndex(filter_type, filter_index_cache, false, fReindex);
- GetBlockFilterIndex(filter_type)->Start();
+ InitBlockFilterIndex(filter_type, cache_sizes.filter_index, false, fReindex);
+ if (!GetBlockFilterIndex(filter_type)->Start(chainman.ActiveChainstate())) {
+ return false;
+ }
+ }
+
+ if (args.GetBoolArg("-coinstatsindex", DEFAULT_COINSTATSINDEX)) {
+ g_coin_stats_index = std::make_unique<CoinStatsIndex>(/* cache size */ 0, false, fReindex);
+ if (!g_coin_stats_index->Start(chainman.ActiveChainstate())) {
+ return false;
+ }
}
// ********************************************************* Step 9: load wallet
@@ -1825,33 +1591,27 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
if (!fReindex) {
LOCK(cs_main);
for (CChainState* chainstate : chainman.GetAll()) {
- uiInterface.InitMessage(_("Pruning blockstore...").translated);
+ uiInterface.InitMessage(_("Pruning blockstore…").translated);
chainstate->PruneAndFlush();
}
}
}
- if (chainparams.GetConsensus().SegwitHeight != std::numeric_limits<int>::max()) {
- // Advertise witness capabilities.
- // The option to not set NODE_WITNESS is only used in the tests and should be removed.
- nLocalServices = ServiceFlags(nLocalServices | NODE_WITNESS);
- }
-
// ********************************************************* Step 11: import blocks
- if (!CheckDiskSpace(GetDataDir())) {
- InitError(strprintf(_("Error: Disk space is low for %s"), GetDataDir()));
+ if (!CheckDiskSpace(gArgs.GetDataDirNet())) {
+ InitError(strprintf(_("Error: Disk space is low for %s"), fs::quoted(fs::PathToString(gArgs.GetDataDirNet()))));
return false;
}
- if (!CheckDiskSpace(GetBlocksDir())) {
- InitError(strprintf(_("Error: Disk space is low for %s"), GetBlocksDir()));
+ if (!CheckDiskSpace(gArgs.GetBlocksDirPath())) {
+ InitError(strprintf(_("Error: Disk space is low for %s"), fs::quoted(fs::PathToString(gArgs.GetBlocksDirPath()))));
return false;
}
// Either install a handler to notify us when genesis activates, or set fHaveGenesis directly.
// No locking, as this happens before any background thread is started.
boost::signals2::connection block_notify_genesis_wait_connection;
- if (::ChainActive().Tip() == nullptr) {
+ if (chainman.ActiveChain().Tip() == nullptr) {
block_notify_genesis_wait_connection = uiInterface.NotifyBlockTip_connect(std::bind(BlockNotifyGenesisWait, std::placeholders::_2));
} else {
fHaveGenesis = true;
@@ -1872,10 +1632,10 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
std::vector<fs::path> vImportFiles;
for (const std::string& strFile : args.GetArgs("-loadblock")) {
- vImportFiles.push_back(strFile);
+ vImportFiles.push_back(fs::PathFromString(strFile));
}
- g_load_block = std::thread(&TraceThread<std::function<void()>>, "loadblk", [=, &chainman, &args] {
+ chainman.m_load_block = std::thread(&util::TraceThread, "loadblk", [=, &chainman, &args] {
ThreadImport(chainman, vImportFiles, args);
});
@@ -1932,11 +1692,10 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
connOptions.uiInterface = &uiInterface;
connOptions.m_banman = node.banman.get();
connOptions.m_msgproc = node.peerman.get();
- connOptions.nSendBufferMaxSize = 1000 * args.GetArg("-maxsendbuffer", DEFAULT_MAXSENDBUFFER);
- connOptions.nReceiveFloodSize = 1000 * args.GetArg("-maxreceivebuffer", DEFAULT_MAXRECEIVEBUFFER);
+ connOptions.nSendBufferMaxSize = 1000 * args.GetIntArg("-maxsendbuffer", DEFAULT_MAXSENDBUFFER);
+ connOptions.nReceiveFloodSize = 1000 * args.GetIntArg("-maxreceivebuffer", DEFAULT_MAXRECEIVEBUFFER);
connOptions.m_added_nodes = args.GetArgs("-addnode");
-
- connOptions.nMaxOutboundLimit = 1024 * 1024 * args.GetArg("-maxuploadtarget", DEFAULT_MAX_UPLOAD_TARGET);
+ connOptions.nMaxOutboundLimit = *opt_max_upload;
connOptions.m_peer_connect_timeout = peer_connect_timeout;
for (const std::string& bind_arg : args.GetArgs("-bind")) {
@@ -1960,18 +1719,6 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
return InitError(ResolveErrMsg("bind", bind_arg));
}
- if (connOptions.onion_binds.empty()) {
- connOptions.onion_binds.push_back(DefaultOnionServiceTarget());
- }
-
- if (args.GetBoolArg("-listenonion", DEFAULT_LISTEN_ONION)) {
- const auto bind_addr = connOptions.onion_binds.front();
- if (connOptions.onion_binds.size() > 1) {
- InitWarning(strprintf(_("More than one onion bind address is provided. Using %s for the automatically created Tor onion service."), bind_addr.ToStringIPPort()));
- }
- StartTorControl(bind_addr);
- }
-
for (const std::string& strBind : args.GetArgs("-whitebind")) {
NetWhitebindPermissions whitebind;
bilingual_str error;
@@ -1979,6 +1726,27 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
connOptions.vWhiteBinds.push_back(whitebind);
}
+ // If the user did not specify -bind= or -whitebind= then we bind
+ // on any address - 0.0.0.0 (IPv4) and :: (IPv6).
+ connOptions.bind_on_any = args.GetArgs("-bind").empty() && args.GetArgs("-whitebind").empty();
+
+ CService onion_service_target;
+ if (!connOptions.onion_binds.empty()) {
+ onion_service_target = connOptions.onion_binds.front();
+ } else {
+ onion_service_target = DefaultOnionServiceTarget();
+ connOptions.onion_binds.push_back(onion_service_target);
+ }
+
+ if (args.GetBoolArg("-listenonion", DEFAULT_LISTEN_ONION)) {
+ if (connOptions.onion_binds.size() > 1) {
+ InitWarning(strprintf(_("More than one onion bind address is provided. Using %s "
+ "for the automatically created Tor onion service."),
+ onion_service_target.ToStringIPPort()));
+ }
+ StartTorControl(onion_service_target);
+ }
+
for (const auto& net : args.GetArgs("-whitelist")) {
NetWhitelistPermissions subnet;
bilingual_str error;
@@ -2017,7 +1785,17 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
// ********************************************************* Step 13: finished
+ // At this point, the RPC is "started", but still in warmup, which means it
+ // cannot yet be called. Before we make it callable, we need to make sure
+ // that the RPC's view of the best block is valid and consistent with
+ // ChainstateManager's ActiveTip.
+ //
+ // If we do not do this, RPC's view of the best block will be height=0 and
+ // hash=0x0. This will lead to erroroneous responses for things like
+ // waitforblockheight.
+ RPCNotifyBlockChange(chainman.ActiveTip());
SetRPCWarmupFinished();
+
uiInterface.InitMessage(_("Done loading").translated);
for (const auto& client : node.chain_clients) {
@@ -2029,6 +1807,8 @@ bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockA
banman->DumpBanlist();
}, DUMP_BANS_INTERVAL);
+ if (node.peerman) node.peerman->StartScheduledTasks(*node.scheduler);
+
#if HAVE_SYSTEM
StartupNotify(args);
#endif
diff --git a/src/init.h b/src/init.h
index c04d966d06..1292cc1a3a 100644
--- a/src/init.h
+++ b/src/init.h
@@ -1,29 +1,31 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_INIT_H
#define BITCOIN_INIT_H
+#include <any>
#include <memory>
#include <string>
+//! Default value for -daemon option
+static constexpr bool DEFAULT_DAEMON = false;
+//! Default value for -daemonwait option
+static constexpr bool DEFAULT_DAEMONWAIT = false;
+
class ArgsManager;
-struct NodeContext;
namespace interfaces {
struct BlockAndHeaderTipInfo;
}
-namespace boost {
-class thread_group;
-} // namespace boost
-namespace util {
-class Ref;
-} // namespace util
+namespace node {
+struct NodeContext;
+} // namespace node
/** Interrupt threads */
-void Interrupt(NodeContext& node);
-void Shutdown(NodeContext& node);
+void Interrupt(node::NodeContext& node);
+void Shutdown(node::NodeContext& node);
//!Initialize the logging infrastructure
void InitLogging(const ArgsManager& args);
//!Parameter interaction: change current parameters depending on various rules
@@ -55,18 +57,18 @@ bool AppInitLockDataDirectory();
/**
* Initialize node and wallet interface pointers. Has no prerequisites or side effects besides allocating memory.
*/
-bool AppInitInterfaces(NodeContext& node);
+bool AppInitInterfaces(node::NodeContext& node);
/**
* Bitcoin core main initialization.
* @note This should only be done after daemonization. Call Shutdown() if this function fails.
* @pre Parameters should be parsed and config file should be read, AppInitLockDataDirectory should have been called.
*/
-bool AppInitMain(const util::Ref& context, NodeContext& node, interfaces::BlockAndHeaderTipInfo* tip_info = nullptr);
+bool AppInitMain(node::NodeContext& node, interfaces::BlockAndHeaderTipInfo* tip_info = nullptr);
/**
* Register all arguments with the ArgsManager
*/
-void SetupServerArgs(NodeContext& node);
+void SetupServerArgs(ArgsManager& argsman);
/** Returns licensing information (for -version) */
std::string LicenseInfo();
diff --git a/src/init/bitcoin-gui.cpp b/src/init/bitcoin-gui.cpp
new file mode 100644
index 0000000000..e297b48718
--- /dev/null
+++ b/src/init/bitcoin-gui.cpp
@@ -0,0 +1,47 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/chain.h>
+#include <interfaces/echo.h>
+#include <interfaces/init.h>
+#include <interfaces/ipc.h>
+#include <interfaces/node.h>
+#include <interfaces/wallet.h>
+#include <node/context.h>
+#include <util/system.h>
+
+#include <memory>
+
+namespace init {
+namespace {
+const char* EXE_NAME = "bitcoin-gui";
+
+class BitcoinGuiInit : public interfaces::Init
+{
+public:
+ BitcoinGuiInit(const char* arg0) : m_ipc(interfaces::MakeIpc(EXE_NAME, arg0, *this))
+ {
+ m_node.args = &gArgs;
+ m_node.init = this;
+ }
+ std::unique_ptr<interfaces::Node> makeNode() override { return interfaces::MakeNode(m_node); }
+ std::unique_ptr<interfaces::Chain> makeChain() override { return interfaces::MakeChain(m_node); }
+ std::unique_ptr<interfaces::WalletLoader> makeWalletLoader(interfaces::Chain& chain) override
+ {
+ return MakeWalletLoader(chain, *Assert(m_node.args));
+ }
+ std::unique_ptr<interfaces::Echo> makeEcho() override { return interfaces::MakeEcho(); }
+ interfaces::Ipc* ipc() override { return m_ipc.get(); }
+ node::NodeContext m_node;
+ std::unique_ptr<interfaces::Ipc> m_ipc;
+};
+} // namespace
+} // namespace init
+
+namespace interfaces {
+std::unique_ptr<Init> MakeGuiInit(int argc, char* argv[])
+{
+ return std::make_unique<init::BitcoinGuiInit>(argc > 0 ? argv[0] : "");
+}
+} // namespace interfaces
diff --git a/src/init/bitcoin-node.cpp b/src/init/bitcoin-node.cpp
new file mode 100644
index 0000000000..511a872bc0
--- /dev/null
+++ b/src/init/bitcoin-node.cpp
@@ -0,0 +1,56 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/chain.h>
+#include <interfaces/echo.h>
+#include <interfaces/init.h>
+#include <interfaces/ipc.h>
+#include <interfaces/node.h>
+#include <interfaces/wallet.h>
+#include <node/context.h>
+#include <util/system.h>
+
+#include <memory>
+
+namespace init {
+namespace {
+const char* EXE_NAME = "bitcoin-node";
+
+class BitcoinNodeInit : public interfaces::Init
+{
+public:
+ BitcoinNodeInit(node::NodeContext& node, const char* arg0)
+ : m_node(node),
+ m_ipc(interfaces::MakeIpc(EXE_NAME, arg0, *this))
+ {
+ m_node.args = &gArgs;
+ m_node.init = this;
+ }
+ std::unique_ptr<interfaces::Node> makeNode() override { return interfaces::MakeNode(m_node); }
+ std::unique_ptr<interfaces::Chain> makeChain() override { return interfaces::MakeChain(m_node); }
+ std::unique_ptr<interfaces::WalletLoader> makeWalletLoader(interfaces::Chain& chain) override
+ {
+ return MakeWalletLoader(chain, *Assert(m_node.args));
+ }
+ std::unique_ptr<interfaces::Echo> makeEcho() override { return interfaces::MakeEcho(); }
+ interfaces::Ipc* ipc() override { return m_ipc.get(); }
+ node::NodeContext& m_node;
+ std::unique_ptr<interfaces::Ipc> m_ipc;
+};
+} // namespace
+} // namespace init
+
+namespace interfaces {
+std::unique_ptr<Init> MakeNodeInit(node::NodeContext& node, int argc, char* argv[], int& exit_status)
+{
+ auto init = std::make_unique<init::BitcoinNodeInit>(node, argc > 0 ? argv[0] : "");
+ // Check if bitcoin-node is being invoked as an IPC server. If so, then
+ // bypass normal execution and just respond to requests over the IPC
+ // channel and return null.
+ if (init->m_ipc->startSpawnedProcess(argc, argv, exit_status)) {
+ return nullptr;
+ }
+ return init;
+}
+} // namespace interfaces
diff --git a/src/init/bitcoin-qt.cpp b/src/init/bitcoin-qt.cpp
new file mode 100644
index 0000000000..37d4e426c5
--- /dev/null
+++ b/src/init/bitcoin-qt.cpp
@@ -0,0 +1,42 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/chain.h>
+#include <interfaces/echo.h>
+#include <interfaces/init.h>
+#include <interfaces/node.h>
+#include <interfaces/wallet.h>
+#include <node/context.h>
+#include <util/system.h>
+
+#include <memory>
+
+namespace init {
+namespace {
+class BitcoinQtInit : public interfaces::Init
+{
+public:
+ BitcoinQtInit()
+ {
+ m_node.args = &gArgs;
+ m_node.init = this;
+ }
+ std::unique_ptr<interfaces::Node> makeNode() override { return interfaces::MakeNode(m_node); }
+ std::unique_ptr<interfaces::Chain> makeChain() override { return interfaces::MakeChain(m_node); }
+ std::unique_ptr<interfaces::WalletLoader> makeWalletLoader(interfaces::Chain& chain) override
+ {
+ return MakeWalletLoader(chain, *Assert(m_node.args));
+ }
+ std::unique_ptr<interfaces::Echo> makeEcho() override { return interfaces::MakeEcho(); }
+ node::NodeContext m_node;
+};
+} // namespace
+} // namespace init
+
+namespace interfaces {
+std::unique_ptr<Init> MakeGuiInit(int argc, char* argv[])
+{
+ return std::make_unique<init::BitcoinQtInit>();
+}
+} // namespace interfaces
diff --git a/src/init/bitcoin-wallet.cpp b/src/init/bitcoin-wallet.cpp
new file mode 100644
index 0000000000..e9dcde72fe
--- /dev/null
+++ b/src/init/bitcoin-wallet.cpp
@@ -0,0 +1,12 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/init.h>
+
+namespace interfaces {
+std::unique_ptr<Init> MakeWalletInit(int argc, char* argv[], int& exit_status)
+{
+ return std::make_unique<Init>();
+}
+} // namespace interfaces
diff --git a/src/init/bitcoind.cpp b/src/init/bitcoind.cpp
new file mode 100644
index 0000000000..2addff07c1
--- /dev/null
+++ b/src/init/bitcoind.cpp
@@ -0,0 +1,44 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/chain.h>
+#include <interfaces/echo.h>
+#include <interfaces/init.h>
+#include <interfaces/node.h>
+#include <interfaces/wallet.h>
+#include <node/context.h>
+#include <util/system.h>
+
+#include <memory>
+
+using node::NodeContext;
+
+namespace init {
+namespace {
+class BitcoindInit : public interfaces::Init
+{
+public:
+ BitcoindInit(NodeContext& node) : m_node(node)
+ {
+ m_node.args = &gArgs;
+ m_node.init = this;
+ }
+ std::unique_ptr<interfaces::Node> makeNode() override { return interfaces::MakeNode(m_node); }
+ std::unique_ptr<interfaces::Chain> makeChain() override { return interfaces::MakeChain(m_node); }
+ std::unique_ptr<interfaces::WalletLoader> makeWalletLoader(interfaces::Chain& chain) override
+ {
+ return MakeWalletLoader(chain, *Assert(m_node.args));
+ }
+ std::unique_ptr<interfaces::Echo> makeEcho() override { return interfaces::MakeEcho(); }
+ NodeContext& m_node;
+};
+} // namespace
+} // namespace init
+
+namespace interfaces {
+std::unique_ptr<Init> MakeNodeInit(NodeContext& node, int argc, char* argv[], int& exit_status)
+{
+ return std::make_unique<init::BitcoindInit>(node);
+}
+} // namespace interfaces
diff --git a/src/init/common.cpp b/src/init/common.cpp
new file mode 100644
index 0000000000..38c60366e3
--- /dev/null
+++ b/src/init/common.cpp
@@ -0,0 +1,167 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#if defined(HAVE_CONFIG_H)
+#include <config/bitcoin-config.h>
+#endif
+
+#include <clientversion.h>
+#include <compat/sanity.h>
+#include <crypto/sha256.h>
+#include <key.h>
+#include <logging.h>
+#include <node/ui_interface.h>
+#include <pubkey.h>
+#include <random.h>
+#include <util/system.h>
+#include <util/time.h>
+#include <util/translation.h>
+
+#include <memory>
+
+static std::unique_ptr<ECCVerifyHandle> globalVerifyHandle;
+
+namespace init {
+void SetGlobals()
+{
+ std::string sha256_algo = SHA256AutoDetect();
+ LogPrintf("Using the '%s' SHA256 implementation\n", sha256_algo);
+ RandomInit();
+ ECC_Start();
+ globalVerifyHandle.reset(new ECCVerifyHandle());
+}
+
+void UnsetGlobals()
+{
+ globalVerifyHandle.reset();
+ ECC_Stop();
+}
+
+bool SanityChecks()
+{
+ if (!ECC_InitSanityCheck()) {
+ return InitError(Untranslated("Elliptic curve cryptography sanity check failure. Aborting."));
+ }
+
+ if (!glibcxx_sanity_test())
+ return false;
+
+ if (!Random_SanityCheck()) {
+ return InitError(Untranslated("OS cryptographic RNG sanity check failure. Aborting."));
+ }
+
+ if (!ChronoSanityCheck()) {
+ return InitError(Untranslated("Clock epoch mismatch. Aborting."));
+ }
+
+ return true;
+}
+
+void AddLoggingArgs(ArgsManager& argsman)
+{
+ argsman.AddArg("-debuglogfile=<file>", strprintf("Specify location of debug log file. Relative paths will be prefixed by a net-specific datadir location. (-nodebuglogfile to disable; default: %s)", DEFAULT_DEBUGLOGFILE), ArgsManager::ALLOW_ANY, OptionsCategory::OPTIONS);
+ argsman.AddArg("-debug=<category>", "Output debugging information (default: -nodebug, supplying <category> is optional). "
+ "If <category> is not supplied or if <category> = 1, output all debugging information. <category> can be: " + LogInstance().LogCategoriesString() + ". This option can be specified multiple times to output multiple categories.",
+ ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-debugexclude=<category>", "Exclude debugging information for a category. Can be used in conjunction with -debug=1 to output debug logs for all categories except the specified category. This option can be specified multiple times to exclude multiple categories.", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-logips", strprintf("Include IP addresses in debug output (default: %u)", DEFAULT_LOGIPS), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-logtimestamps", strprintf("Prepend debug output with timestamp (default: %u)", DEFAULT_LOGTIMESTAMPS), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+#ifdef HAVE_THREAD_LOCAL
+ argsman.AddArg("-logthreadnames", strprintf("Prepend debug output with name of the originating thread (only available on platforms supporting thread_local) (default: %u)", DEFAULT_LOGTHREADNAMES), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+#else
+ argsman.AddHiddenArgs({"-logthreadnames"});
+#endif
+ argsman.AddArg("-logsourcelocations", strprintf("Prepend debug output with name of the originating source location (source file, line number and function name) (default: %u)", DEFAULT_LOGSOURCELOCATIONS), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-logtimemicros", strprintf("Add microsecond precision to debug timestamps (default: %u)", DEFAULT_LOGTIMEMICROS), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-printtoconsole", "Send trace/debug info to console (default: 1 when no -daemon. To disable logging to file, set -nodebuglogfile)", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+ argsman.AddArg("-shrinkdebugfile", "Shrink debug.log file on client startup (default: 1 when no -debug)", ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
+}
+
+void SetLoggingOptions(const ArgsManager& args)
+{
+ LogInstance().m_print_to_file = !args.IsArgNegated("-debuglogfile");
+ LogInstance().m_file_path = AbsPathForConfigVal(fs::PathFromString(args.GetArg("-debuglogfile", DEFAULT_DEBUGLOGFILE)));
+ LogInstance().m_print_to_console = args.GetBoolArg("-printtoconsole", !args.GetBoolArg("-daemon", false));
+ LogInstance().m_log_timestamps = args.GetBoolArg("-logtimestamps", DEFAULT_LOGTIMESTAMPS);
+ LogInstance().m_log_time_micros = args.GetBoolArg("-logtimemicros", DEFAULT_LOGTIMEMICROS);
+#ifdef HAVE_THREAD_LOCAL
+ LogInstance().m_log_threadnames = args.GetBoolArg("-logthreadnames", DEFAULT_LOGTHREADNAMES);
+#endif
+ LogInstance().m_log_sourcelocations = args.GetBoolArg("-logsourcelocations", DEFAULT_LOGSOURCELOCATIONS);
+
+ fLogIPs = args.GetBoolArg("-logips", DEFAULT_LOGIPS);
+}
+
+void SetLoggingCategories(const ArgsManager& args)
+{
+ if (args.IsArgSet("-debug")) {
+ // Special-case: if -debug=0/-nodebug is set, turn off debugging messages
+ const std::vector<std::string> categories = args.GetArgs("-debug");
+
+ if (std::none_of(categories.begin(), categories.end(),
+ [](std::string cat){return cat == "0" || cat == "none";})) {
+ for (const auto& cat : categories) {
+ if (!LogInstance().EnableCategory(cat)) {
+ InitWarning(strprintf(_("Unsupported logging category %s=%s."), "-debug", cat));
+ }
+ }
+ }
+ }
+
+ // Now remove the logging categories which were explicitly excluded
+ for (const std::string& cat : args.GetArgs("-debugexclude")) {
+ if (!LogInstance().DisableCategory(cat)) {
+ InitWarning(strprintf(_("Unsupported logging category %s=%s."), "-debugexclude", cat));
+ }
+ }
+}
+
+bool StartLogging(const ArgsManager& args)
+{
+ if (LogInstance().m_print_to_file) {
+ if (args.GetBoolArg("-shrinkdebugfile", LogInstance().DefaultShrinkDebugFile())) {
+ // Do this first since it both loads a bunch of debug.log into memory,
+ // and because this needs to happen before any other debug.log printing
+ LogInstance().ShrinkDebugFile();
+ }
+ }
+ if (!LogInstance().StartLogging()) {
+ return InitError(strprintf(Untranslated("Could not open debug log file %s"),
+ fs::PathToString(LogInstance().m_file_path)));
+ }
+
+ if (!LogInstance().m_log_timestamps)
+ LogPrintf("Startup time: %s\n", FormatISO8601DateTime(GetTime()));
+ LogPrintf("Default data directory %s\n", fs::PathToString(GetDefaultDataDir()));
+ LogPrintf("Using data directory %s\n", fs::PathToString(gArgs.GetDataDirNet()));
+
+ // Only log conf file usage message if conf file actually exists.
+ fs::path config_file_path = GetConfigFile(args.GetArg("-conf", BITCOIN_CONF_FILENAME));
+ if (fs::exists(config_file_path)) {
+ LogPrintf("Config file: %s\n", fs::PathToString(config_file_path));
+ } else if (args.IsArgSet("-conf")) {
+ // Warn if no conf file exists at path provided by user
+ InitWarning(strprintf(_("The specified config file %s does not exist"), fs::PathToString(config_file_path)));
+ } else {
+ // Not categorizing as "Warning" because it's the default behavior
+ LogPrintf("Config file: %s (not found, skipping)\n", fs::PathToString(config_file_path));
+ }
+
+ // Log the config arguments to debug.log
+ args.LogArgs();
+
+ return true;
+}
+
+void LogPackageVersion()
+{
+ std::string version_string = FormatFullVersion();
+#ifdef DEBUG
+ version_string += " (debug build)";
+#else
+ version_string += " (release build)";
+#endif
+ LogPrintf(PACKAGE_NAME " version %s\n", version_string);
+}
+} // namespace init
diff --git a/src/init/common.h b/src/init/common.h
new file mode 100644
index 0000000000..fc4bc1b280
--- /dev/null
+++ b/src/init/common.h
@@ -0,0 +1,28 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+//! @file
+//! @brief Common init functions shared by bitcoin-node, bitcoin-wallet, etc.
+
+#ifndef BITCOIN_INIT_COMMON_H
+#define BITCOIN_INIT_COMMON_H
+
+class ArgsManager;
+
+namespace init {
+void SetGlobals();
+void UnsetGlobals();
+/**
+ * Ensure a usable environment with all
+ * necessary library support.
+ */
+bool SanityChecks();
+void AddLoggingArgs(ArgsManager& args);
+void SetLoggingOptions(const ArgsManager& args);
+void SetLoggingCategories(const ArgsManager& args);
+bool StartLogging(const ArgsManager& args);
+void LogPackageVersion();
+} // namespace init
+
+#endif // BITCOIN_INIT_COMMON_H
diff --git a/src/interfaces/README.md b/src/interfaces/README.md
index f77d172153..97167d5298 100644
--- a/src/interfaces/README.md
+++ b/src/interfaces/README.md
@@ -12,6 +12,8 @@ The following interfaces are defined here:
* [`Handler`](handler.h) — returned by `handleEvent` methods on interfaces above and used to manage lifetimes of event handlers.
-* [`Init`](init.h) — used by multiprocess code to access interfaces above on startup. Added in [#10102](https://github.com/bitcoin/bitcoin/pull/10102).
+* [`Init`](init.h) — used by multiprocess code to access interfaces above on startup. Added in [#19160](https://github.com/bitcoin/bitcoin/pull/19160).
-The interfaces above define boundaries between major components of bitcoin code (node, wallet, and gui), making it possible for them to run in different processes, and be tested, developed, and understood independently. These interfaces are not currently designed to be stable or to be used externally.
+* [`Ipc`](ipc.h) — used by multiprocess code to access `Init` interface across processes. Added in [#19160](https://github.com/bitcoin/bitcoin/pull/19160).
+
+The interfaces above define boundaries between major components of bitcoin code (node, wallet, and gui), making it possible for them to run in [different processes](../../doc/multiprocess.md), and be tested, developed, and understood independently. These interfaces are not currently designed to be stable or to be used externally.
diff --git a/src/interfaces/chain.h b/src/interfaces/chain.h
index 1a49518d69..ddfb4bda95 100644
--- a/src/interfaces/chain.h
+++ b/src/interfaces/chain.h
@@ -1,16 +1,16 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_INTERFACES_CHAIN_H
#define BITCOIN_INTERFACES_CHAIN_H
-#include <optional.h> // For Optional and nullopt
#include <primitives/transaction.h> // For CTransactionRef
#include <util/settings.h> // For util::SettingsValue
#include <functional>
#include <memory>
+#include <optional>
#include <stddef.h>
#include <stdint.h>
#include <string>
@@ -28,14 +28,18 @@ enum class RBFTransactionState;
struct bilingual_str;
struct CBlockLocator;
struct FeeCalculation;
+namespace node {
struct NodeContext;
+} // namespace node
namespace interfaces {
class Handler;
class Wallet;
-//! Helper for findBlock to selectively return pieces of block data.
+//! Helper for findBlock to selectively return pieces of block data. If block is
+//! found, data will be returned by setting specified output variables. If block
+//! is not found, output variables will keep their previous values.
class FoundBlock
{
public:
@@ -60,6 +64,7 @@ public:
bool* m_in_active_chain = nullptr;
const FoundBlock* m_next_block = nullptr;
CBlock* m_data = nullptr;
+ mutable bool found = false;
};
//! Interface giving clients (wallet processes, maybe other analysis tools in
@@ -94,7 +99,7 @@ public:
//! Get current chain height, not including genesis block (returns 0 if
//! chain only contains genesis block, nullopt if chain does not contain
//! any blocks)
- virtual Optional<int> getHeight() = 0;
+ virtual std::optional<int> getHeight() = 0;
//! Get block hash. Height must be valid or this function will abort.
virtual uint256 getBlockHash(int height) = 0;
@@ -109,10 +114,7 @@ public:
//! Return height of the highest block on chain in common with the locator,
//! which will either be the original block used to create the locator,
//! or one of its ancestors.
- virtual Optional<int> findLocatorFork(const CBlockLocator& locator) = 0;
-
- //! Check if transaction will be final given chain height current time.
- virtual bool checkFinalTx(const CTransaction& tx) = 0;
+ virtual std::optional<int> findLocatorFork(const CBlockLocator& locator) = 0;
//! Return whether node has the block and optionally return block metadata
//! or contents.
@@ -154,11 +156,14 @@ public:
//! Return true if data is available for all blocks in the specified range
//! of blocks. This checks all blocks that are ancestors of block_hash in
//! the height range from min_height to max_height, inclusive.
- virtual bool hasBlocks(const uint256& block_hash, int min_height = 0, Optional<int> max_height = {}) = 0;
+ virtual bool hasBlocks(const uint256& block_hash, int min_height = 0, std::optional<int> max_height = {}) = 0;
//! Check if transaction is RBF opt in.
virtual RBFTransactionState isRBFOptIn(const CTransaction& tx) = 0;
+ //! Check if transaction is in mempool.
+ virtual bool isInMempool(const uint256& txid) = 0;
+
//! Check if transaction has descendants in mempool.
virtual bool hasDescendantsInMempool(const uint256& txid) = 0;
@@ -171,7 +176,7 @@ public:
std::string& err_string) = 0;
//! Calculate mempool ancestor and descendant counts for the given transaction.
- virtual void getTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants) = 0;
+ virtual void getTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants, size_t* ancestorsize = nullptr, CAmount* ancestorfees = nullptr) = 0;
//! Get the node's package limits.
//! Currently only returns the ancestor and descendant count limits, but could be enhanced to
@@ -211,9 +216,6 @@ public:
//! Check if shutdown requested.
virtual bool shutdownRequested() = 0;
- //! Get adjusted time.
- virtual int64_t getAdjustedTime() = 0;
-
//! Send init message.
virtual void initMessage(const std::string& message) = 0;
@@ -259,11 +261,18 @@ public:
//! Current RPC serialization flags.
virtual int rpcSerializationFlags() = 0;
+ //! Get settings value.
+ virtual util::SettingsValue getSetting(const std::string& arg) = 0;
+
+ //! Get list of settings values.
+ virtual std::vector<util::SettingsValue> getSettingsList(const std::string& arg) = 0;
+
//! Return <datadir>/settings.json setting value.
virtual util::SettingsValue getRwSetting(const std::string& name) = 0;
- //! Write a setting to <datadir>/settings.json.
- virtual bool updateRwSetting(const std::string& name, const util::SettingsValue& value) = 0;
+ //! Write a setting to <datadir>/settings.json. Optionally just update the
+ //! setting in memory and do not write the file.
+ virtual bool updateRwSetting(const std::string& name, const util::SettingsValue& value, bool write=true) = 0;
//! Synchronously send transactionAddedToMempool notifications about all
//! current mempool transactions to the specified handler and return after
@@ -306,7 +315,7 @@ public:
};
//! Return implementation of Chain interface.
-std::unique_ptr<Chain> MakeChain(NodeContext& node);
+std::unique_ptr<Chain> MakeChain(node::NodeContext& node);
} // namespace interfaces
diff --git a/src/interfaces/echo.cpp b/src/interfaces/echo.cpp
new file mode 100644
index 0000000000..9bbb42217b
--- /dev/null
+++ b/src/interfaces/echo.cpp
@@ -0,0 +1,18 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/echo.h>
+
+#include <memory>
+
+namespace interfaces {
+namespace {
+class EchoImpl : public Echo
+{
+public:
+ std::string echo(const std::string& echo) override { return echo; }
+};
+} // namespace
+std::unique_ptr<Echo> MakeEcho() { return std::make_unique<EchoImpl>(); }
+} // namespace interfaces
diff --git a/src/interfaces/echo.h b/src/interfaces/echo.h
new file mode 100644
index 0000000000..5578d9d9e6
--- /dev/null
+++ b/src/interfaces/echo.h
@@ -0,0 +1,26 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_INTERFACES_ECHO_H
+#define BITCOIN_INTERFACES_ECHO_H
+
+#include <memory>
+#include <string>
+
+namespace interfaces {
+//! Simple string echoing interface for testing.
+class Echo
+{
+public:
+ virtual ~Echo() {}
+
+ //! Echo provided string.
+ virtual std::string echo(const std::string& echo) = 0;
+};
+
+//! Return implementation of Echo interface.
+std::unique_ptr<Echo> MakeEcho();
+} // namespace interfaces
+
+#endif // BITCOIN_INTERFACES_ECHO_H
diff --git a/src/interfaces/handler.cpp b/src/interfaces/handler.cpp
index 4134a4527f..adb7031cbc 100644
--- a/src/interfaces/handler.cpp
+++ b/src/interfaces/handler.cpp
@@ -1,10 +1,9 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <interfaces/handler.h>
-#include <util/memory.h>
#include <boost/signals2/connection.hpp>
#include <utility>
@@ -35,12 +34,12 @@ public:
std::unique_ptr<Handler> MakeHandler(boost::signals2::connection connection)
{
- return MakeUnique<HandlerImpl>(std::move(connection));
+ return std::make_unique<HandlerImpl>(std::move(connection));
}
std::unique_ptr<Handler> MakeHandler(std::function<void()> cleanup)
{
- return MakeUnique<CleanupHandler>(std::move(cleanup));
+ return std::make_unique<CleanupHandler>(std::move(cleanup));
}
} // namespace interfaces
diff --git a/src/interfaces/init.cpp b/src/interfaces/init.cpp
new file mode 100644
index 0000000000..f0f8aa5fed
--- /dev/null
+++ b/src/interfaces/init.cpp
@@ -0,0 +1,17 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/chain.h>
+#include <interfaces/echo.h>
+#include <interfaces/init.h>
+#include <interfaces/node.h>
+#include <interfaces/wallet.h>
+
+namespace interfaces {
+std::unique_ptr<Node> Init::makeNode() { return {}; }
+std::unique_ptr<Chain> Init::makeChain() { return {}; }
+std::unique_ptr<WalletLoader> Init::makeWalletLoader(Chain& chain) { return {}; }
+std::unique_ptr<Echo> Init::makeEcho() { return {}; }
+Ipc* Init::ipc() { return nullptr; }
+} // namespace interfaces
diff --git a/src/interfaces/init.h b/src/interfaces/init.h
new file mode 100644
index 0000000000..2153076366
--- /dev/null
+++ b/src/interfaces/init.h
@@ -0,0 +1,54 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_INTERFACES_INIT_H
+#define BITCOIN_INTERFACES_INIT_H
+
+#include <memory>
+
+namespace node {
+struct NodeContext;
+} // namespace node
+
+namespace interfaces {
+class Chain;
+class Echo;
+class Ipc;
+class Node;
+class WalletLoader;
+
+//! Initial interface created when a process is first started, and used to give
+//! and get access to other interfaces (Node, Chain, Wallet, etc).
+//!
+//! There is a different Init interface implementation for each process
+//! (bitcoin-gui, bitcoin-node, bitcoin-wallet, bitcoind, bitcoin-qt) and each
+//! implementation can implement the make methods for interfaces it supports.
+//! The default make methods all return null.
+class Init
+{
+public:
+ virtual ~Init() = default;
+ virtual std::unique_ptr<Node> makeNode();
+ virtual std::unique_ptr<Chain> makeChain();
+ virtual std::unique_ptr<WalletLoader> makeWalletLoader(Chain& chain);
+ virtual std::unique_ptr<Echo> makeEcho();
+ virtual Ipc* ipc();
+};
+
+//! Return implementation of Init interface for the node process. If the argv
+//! indicates that this is a child process spawned to handle requests from a
+//! parent process, this blocks and handles requests, then returns null and a
+//! status code to exit with. If this returns non-null, the caller can start up
+//! normally and use the Init object to spawn and connect to other processes
+//! while it is running.
+std::unique_ptr<Init> MakeNodeInit(node::NodeContext& node, int argc, char* argv[], int& exit_status);
+
+//! Return implementation of Init interface for the wallet process.
+std::unique_ptr<Init> MakeWalletInit(int argc, char* argv[], int& exit_status);
+
+//! Return implementation of Init interface for the gui process.
+std::unique_ptr<Init> MakeGuiInit(int argc, char* argv[]);
+} // namespace interfaces
+
+#endif // BITCOIN_INTERFACES_INIT_H
diff --git a/src/interfaces/ipc.h b/src/interfaces/ipc.h
new file mode 100644
index 0000000000..963649fc9a
--- /dev/null
+++ b/src/interfaces/ipc.h
@@ -0,0 +1,78 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_INTERFACES_IPC_H
+#define BITCOIN_INTERFACES_IPC_H
+
+#include <functional>
+#include <memory>
+#include <typeindex>
+
+namespace ipc {
+struct Context;
+} // namespace ipc
+
+namespace interfaces {
+class Init;
+
+//! Interface providing access to interprocess-communication (IPC)
+//! functionality. The IPC implementation is responsible for establishing
+//! connections between a controlling process and a process being controlled.
+//! When a connection is established, the process being controlled returns an
+//! interfaces::Init pointer to the controlling process, which the controlling
+//! process can use to get access to other interfaces and functionality.
+//!
+//! When spawning a new process, the steps are:
+//!
+//! 1. The controlling process calls interfaces::Ipc::spawnProcess(), which
+//! calls ipc::Process::spawn(), which spawns a new process and returns a
+//! socketpair file descriptor for communicating with it.
+//! interfaces::Ipc::spawnProcess() then calls ipc::Protocol::connect()
+//! passing the socketpair descriptor, which returns a local proxy
+//! interfaces::Init implementation calling remote interfaces::Init methods.
+//! 2. The spawned process calls interfaces::Ipc::startSpawnProcess(), which
+//! calls ipc::Process::checkSpawned() to read command line arguments and
+//! determine whether it is a spawned process and what socketpair file
+//! descriptor it should use. It then calls ipc::Protocol::serve() to handle
+//! incoming requests from the socketpair and invoke interfaces::Init
+//! interface methods, and exit when the socket is closed.
+//! 3. The controlling process calls local proxy interfaces::Init object methods
+//! to make other proxy objects calling other remote interfaces. It can also
+//! destroy the initial interfaces::Init object to close the connection and
+//! shut down the spawned process.
+class Ipc
+{
+public:
+ virtual ~Ipc() = default;
+
+ //! Spawn a child process returning pointer to its Init interface.
+ virtual std::unique_ptr<Init> spawnProcess(const char* exe_name) = 0;
+
+ //! If this is a spawned process, block and handle requests from the parent
+ //! process by forwarding them to this process's Init interface, then return
+ //! true. If this is not a spawned child process, return false.
+ virtual bool startSpawnedProcess(int argc, char* argv[], int& exit_status) = 0;
+
+ //! Add cleanup callback to remote interface that will run when the
+ //! interface is deleted.
+ template<typename Interface>
+ void addCleanup(Interface& iface, std::function<void()> cleanup)
+ {
+ addCleanup(typeid(Interface), &iface, std::move(cleanup));
+ }
+
+ //! IPC context struct accessor (see struct definition for more description).
+ virtual ipc::Context& context() = 0;
+
+protected:
+ //! Internal implementation of public addCleanup method (above) as a
+ //! type-erased virtual function, since template functions can't be virtual.
+ virtual void addCleanup(std::type_index type, void* iface, std::function<void()> cleanup) = 0;
+};
+
+//! Return implementation of Ipc interface.
+std::unique_ptr<Ipc> MakeIpc(const char* exe_name, const char* process_argv0, Init& init);
+} // namespace interfaces
+
+#endif // BITCOIN_INTERFACES_IPC_H
diff --git a/src/interfaces/node.h b/src/interfaces/node.h
index 15f7ef6256..9c1b196d61 100644
--- a/src/interfaces/node.h
+++ b/src/interfaces/node.h
@@ -1,14 +1,15 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_INTERFACES_NODE_H
#define BITCOIN_INTERFACES_NODE_H
-#include <amount.h> // For CAmount
-#include <net.h> // For CConnman::NumConnections
+#include <consensus/amount.h>
+#include <net.h> // For NodeId
#include <net_types.h> // For banmap_t
#include <netaddress.h> // For Network
+#include <netbase.h> // For ConnectionDirection
#include <support/allocators/secure.h> // For SecureString
#include <util/translation.h>
@@ -21,7 +22,6 @@
#include <vector>
class BanMan;
-class CCoinControl;
class CFeeRate;
class CNodeStats;
class Coin;
@@ -29,13 +29,19 @@ class RPCTimerInterface;
class UniValue;
class proxyType;
enum class SynchronizationState;
+enum class TransactionError;
struct CNodeStateStats;
-struct NodeContext;
struct bilingual_str;
+namespace node {
+struct NodeContext;
+} // namespace node
+namespace wallet {
+class CCoinControl;
+} // namespace wallet
namespace interfaces {
class Handler;
-class WalletClient;
+class WalletLoader;
struct BlockTip;
//! Block and header tip information
@@ -48,6 +54,16 @@ struct BlockAndHeaderTipInfo
double verification_progress;
};
+//! External signer interface used by the GUI.
+class ExternalSigner
+{
+public:
+ virtual ~ExternalSigner() {};
+
+ //! Get signer display name
+ virtual std::string getName() = 0;
+};
+
//! Top-level interface for a bitcoin node (bitcoind process).
class Node
{
@@ -88,7 +104,7 @@ public:
virtual bool getProxy(Network net, proxyType& proxy_info) = 0;
//! Get number of connections.
- virtual size_t getNodeCount(CConnman::NumConnections flags) = 0;
+ virtual size_t getNodeCount(ConnectionDirection flags) = 0;
//! Get stats for connected nodes.
using NodesStats = std::vector<std::tuple<CNodeStats, bool, CNodeStateStats>>;
@@ -109,6 +125,9 @@ public:
//! Disconnect node by id.
virtual bool disconnectById(NodeId id) = 0;
+ //! Return list of external signers (attached devices which can sign transactions).
+ virtual std::vector<std::unique_ptr<ExternalSigner>> listExternalSigners() = 0;
+
//! Get total bytes recv.
virtual int64_t getTotalBytesRecv() = 0;
@@ -169,8 +188,11 @@ public:
//! Get unspent outputs associated with a transaction.
virtual bool getUnspentOutput(const COutPoint& output, Coin& coin) = 0;
- //! Get wallet client.
- virtual WalletClient& walletClient() = 0;
+ //! Broadcast transaction.
+ virtual TransactionError broadcastTransaction(CTransactionRef tx, CAmount max_tx_fee, std::string& err_string) = 0;
+
+ //! Get wallet loader.
+ virtual WalletLoader& walletLoader() = 0;
//! Register handler for init messages.
using InitMessageFn = std::function<void(const std::string& message)>;
@@ -192,6 +214,10 @@ public:
using ShowProgressFn = std::function<void(const std::string& title, int progress, bool resume_possible)>;
virtual std::unique_ptr<Handler> handleShowProgress(ShowProgressFn fn) = 0;
+ //! Register handler for wallet loader constructed messages.
+ using InitWalletFn = std::function<void()>;
+ virtual std::unique_ptr<Handler> handleInitWallet(InitWalletFn fn) = 0;
+
//! Register handler for number of connections changed messages.
using NotifyNumConnectionsChangedFn = std::function<void(int new_num_connections)>;
virtual std::unique_ptr<Handler> handleNotifyNumConnectionsChanged(NotifyNumConnectionsChangedFn fn) = 0;
@@ -220,12 +246,12 @@ public:
//! Get and set internal node context. Useful for testing, but not
//! accessible across processes.
- virtual NodeContext* context() { return nullptr; }
- virtual void setContext(NodeContext* context) { }
+ virtual node::NodeContext* context() { return nullptr; }
+ virtual void setContext(node::NodeContext* context) { }
};
//! Return implementation of Node interface.
-std::unique_ptr<Node> MakeNode(NodeContext* context = nullptr);
+std::unique_ptr<Node> MakeNode(node::NodeContext& context);
//! Block tip (could be a header or not, depends on the subscribed signal).
struct BlockTip {
diff --git a/src/interfaces/wallet.h b/src/interfaces/wallet.h
index 6ccfd7fc20..f26ac866dc 100644
--- a/src/interfaces/wallet.h
+++ b/src/interfaces/wallet.h
@@ -1,11 +1,12 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_INTERFACES_WALLET_H
#define BITCOIN_INTERFACES_WALLET_H
-#include <amount.h> // For CAmount
+#include <consensus/amount.h>
+#include <fs.h>
#include <interfaces/chain.h> // For ChainClient
#include <pubkey.h> // For CKeyID and CScriptID (definitions needed in CTxDestination instantiation)
#include <script/standard.h> // For CTxDestination
@@ -13,28 +14,31 @@
#include <util/message.h>
#include <util/ui_change_type.h>
+#include <cstdint>
#include <functional>
#include <map>
#include <memory>
-#include <stdint.h>
#include <string>
#include <tuple>
+#include <type_traits>
#include <utility>
#include <vector>
-class CCoinControl;
class CFeeRate;
class CKey;
-class CWallet;
enum class FeeReason;
enum class OutputType;
enum class TransactionError;
+struct PartiallySignedTransaction;
+struct bilingual_str;
+namespace wallet {
+class CCoinControl;
+class CWallet;
enum isminetype : unsigned int;
struct CRecipient;
-struct PartiallySignedTransaction;
struct WalletContext;
-struct bilingual_str;
-typedef uint8_t isminefilter;
+using isminefilter = std::underlying_type<isminetype>::type;
+} // namespace wallet
namespace interfaces {
@@ -106,26 +110,26 @@ public:
//! Look up address in wallet, return whether exists.
virtual bool getAddress(const CTxDestination& dest,
std::string* name,
- isminetype* is_mine,
+ wallet::isminetype* is_mine,
std::string* purpose) = 0;
//! Get wallet address list.
virtual std::vector<WalletAddress> getAddresses() = 0;
- //! Add dest data.
- virtual bool addDestData(const CTxDestination& dest, const std::string& key, const std::string& value) = 0;
+ //! Get receive requests.
+ virtual std::vector<std::string> getAddressReceiveRequests() = 0;
- //! Erase dest data.
- virtual bool eraseDestData(const CTxDestination& dest, const std::string& key) = 0;
+ //! Save or remove receive request.
+ virtual bool setAddressReceiveRequest(const CTxDestination& dest, const std::string& id, const std::string& value) = 0;
- //! Get dest values with prefix.
- virtual std::vector<std::string> getDestValues(const std::string& prefix) = 0;
+ //! Display address on external signer
+ virtual bool displayAddress(const CTxDestination& dest) = 0;
//! Lock coin.
- virtual void lockCoin(const COutPoint& output) = 0;
+ virtual bool lockCoin(const COutPoint& output, const bool write_to_db) = 0;
//! Unlock coin.
- virtual void unlockCoin(const COutPoint& output) = 0;
+ virtual bool unlockCoin(const COutPoint& output) = 0;
//! Return whether coin is locked.
virtual bool isLockedCoin(const COutPoint& output) = 0;
@@ -134,8 +138,8 @@ public:
virtual void listLockedCoins(std::vector<COutPoint>& outputs) = 0;
//! Create transaction.
- virtual CTransactionRef createTransaction(const std::vector<CRecipient>& recipients,
- const CCoinControl& coin_control,
+ virtual CTransactionRef createTransaction(const std::vector<wallet::CRecipient>& recipients,
+ const wallet::CCoinControl& coin_control,
bool sign,
int& change_pos,
CAmount& fee,
@@ -157,7 +161,7 @@ public:
//! Create bump transaction.
virtual bool createBumpTransaction(const uint256& txid,
- const CCoinControl& coin_control,
+ const wallet::CCoinControl& coin_control,
std::vector<bilingual_str>& errors,
CAmount& old_fee,
CAmount& new_fee,
@@ -198,9 +202,9 @@ public:
virtual TransactionError fillPSBT(int sighash_type,
bool sign,
bool bip32derivs,
+ size_t* n_signed,
PartiallySignedTransaction& psbtx,
- bool& complete,
- size_t* n_signed) = 0;
+ bool& complete) = 0;
//! Get balances.
virtual WalletBalances getBalances() = 0;
@@ -212,19 +216,19 @@ public:
virtual CAmount getBalance() = 0;
//! Get available balance.
- virtual CAmount getAvailableBalance(const CCoinControl& coin_control) = 0;
+ virtual CAmount getAvailableBalance(const wallet::CCoinControl& coin_control) = 0;
//! Return whether transaction input belongs to wallet.
- virtual isminetype txinIsMine(const CTxIn& txin) = 0;
+ virtual wallet::isminetype txinIsMine(const CTxIn& txin) = 0;
//! Return whether transaction output belongs to wallet.
- virtual isminetype txoutIsMine(const CTxOut& txout) = 0;
+ virtual wallet::isminetype txoutIsMine(const CTxOut& txout) = 0;
//! Return debit amount if transaction input belongs to wallet.
- virtual CAmount getDebit(const CTxIn& txin, isminefilter filter) = 0;
+ virtual CAmount getDebit(const CTxIn& txin, wallet::isminefilter filter) = 0;
//! Return credit amount if transaction input belongs to wallet.
- virtual CAmount getCredit(const CTxOut& txout, isminefilter filter) = 0;
+ virtual CAmount getCredit(const CTxOut& txout, wallet::isminefilter filter) = 0;
//! Return AvailableCoins + LockedCoins grouped by wallet address.
//! (put change in one group with wallet address)
@@ -239,7 +243,7 @@ public:
//! Get minimum fee.
virtual CAmount getMinimumFee(unsigned int tx_bytes,
- const CCoinControl& coin_control,
+ const wallet::CCoinControl& coin_control,
int* returned_target,
FeeReason* reason) = 0;
@@ -255,6 +259,12 @@ public:
// Return whether private keys enabled.
virtual bool privateKeysDisabled() = 0;
+ // Return whether the wallet contains a Taproot scriptPubKeyMan
+ virtual bool taprootEnabled() = 0;
+
+ // Return whether wallet uses an external signer.
+ virtual bool hasExternalSigner() = 0;
+
// Get default address type.
virtual OutputType getDefaultAddressType() = 0;
@@ -300,13 +310,13 @@ public:
virtual std::unique_ptr<Handler> handleCanGetAddressesChanged(CanGetAddressesChangedFn fn) = 0;
//! Return pointer to internal wallet class, useful for testing.
- virtual CWallet* wallet() { return nullptr; }
+ virtual wallet::CWallet* wallet() { return nullptr; }
};
//! Wallet chain client that in addition to having chain client methods for
//! starting up, shutting down, and registering RPCs, also has additional
//! methods (called by the GUI) to load and create wallets.
-class WalletClient : public ChainClient
+class WalletLoader : public ChainClient
{
public:
//! Create new wallet.
@@ -318,6 +328,9 @@ public:
//! Return default wallet directory.
virtual std::string getWalletDir() = 0;
+ //! Restore backup wallet
+ virtual std::unique_ptr<Wallet> restoreWallet(const fs::path& backup_file, const std::string& wallet_name, bilingual_str& error, std::vector<bilingual_str>& warnings) = 0;
+
//! Return available wallets in wallet directory.
virtual std::vector<std::string> listWalletDir() = 0;
@@ -329,17 +342,20 @@ public:
//! loaded at startup or by RPC.
using LoadWalletFn = std::function<void(std::unique_ptr<Wallet> wallet)>;
virtual std::unique_ptr<Handler> handleLoadWallet(LoadWalletFn fn) = 0;
+
+ //! Return pointer to internal context, useful for testing.
+ virtual wallet::WalletContext* context() { return nullptr; }
};
//! Information about one wallet address.
struct WalletAddress
{
CTxDestination dest;
- isminetype is_mine;
+ wallet::isminetype is_mine;
std::string name;
std::string purpose;
- WalletAddress(CTxDestination dest, isminetype is_mine, std::string name, std::string purpose)
+ WalletAddress(CTxDestination dest, wallet::isminetype is_mine, std::string name, std::string purpose)
: dest(std::move(dest)), is_mine(is_mine), name(std::move(name)), purpose(std::move(purpose))
{
}
@@ -369,10 +385,10 @@ struct WalletBalances
struct WalletTx
{
CTransactionRef tx;
- std::vector<isminetype> txin_is_mine;
- std::vector<isminetype> txout_is_mine;
+ std::vector<wallet::isminetype> txin_is_mine;
+ std::vector<wallet::isminetype> txout_is_mine;
std::vector<CTxDestination> txout_address;
- std::vector<isminetype> txout_address_is_mine;
+ std::vector<wallet::isminetype> txout_address_is_mine;
CAmount credit;
CAmount debit;
CAmount change;
@@ -389,7 +405,6 @@ struct WalletTxStatus
int depth_in_main_chain;
unsigned int time_received;
uint32_t lock_time;
- bool is_final;
bool is_trusted;
bool is_abandoned;
bool is_coinbase;
@@ -407,11 +422,11 @@ struct WalletTxOut
//! Return implementation of Wallet interface. This function is defined in
//! dummywallet.cpp and throws if the wallet component is not compiled.
-std::unique_ptr<Wallet> MakeWallet(const std::shared_ptr<CWallet>& wallet);
+std::unique_ptr<Wallet> MakeWallet(wallet::WalletContext& context, const std::shared_ptr<wallet::CWallet>& wallet);
-//! Return implementation of ChainClient interface for a wallet client. This
+//! Return implementation of ChainClient interface for a wallet loader. This
//! function will be undefined in builds where ENABLE_WALLET is false.
-std::unique_ptr<WalletClient> MakeWalletClient(Chain& chain, ArgsManager& args);
+std::unique_ptr<WalletLoader> MakeWalletLoader(Chain& chain, ArgsManager& args);
} // namespace interfaces
diff --git a/src/ipc/capnp/.gitignore b/src/ipc/capnp/.gitignore
new file mode 100644
index 0000000000..036df1430c
--- /dev/null
+++ b/src/ipc/capnp/.gitignore
@@ -0,0 +1,2 @@
+# capnp generated files
+*.capnp.*
diff --git a/src/ipc/capnp/context.h b/src/ipc/capnp/context.h
new file mode 100644
index 0000000000..06e1614494
--- /dev/null
+++ b/src/ipc/capnp/context.h
@@ -0,0 +1,23 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_IPC_CAPNP_CONTEXT_H
+#define BITCOIN_IPC_CAPNP_CONTEXT_H
+
+#include <ipc/context.h>
+
+namespace ipc {
+namespace capnp {
+//! Cap'n Proto context struct. Generally the parent ipc::Context struct should
+//! be used instead of this struct to give all IPC protocols access to
+//! application state, so there aren't unnecessary differences between IPC
+//! protocols. But this specialized struct can be used to pass capnp-specific
+//! function and object types to capnp hooks.
+struct Context : ipc::Context
+{
+};
+} // namespace capnp
+} // namespace ipc
+
+#endif // BITCOIN_IPC_CAPNP_CONTEXT_H
diff --git a/src/ipc/capnp/echo.capnp b/src/ipc/capnp/echo.capnp
new file mode 100644
index 0000000000..df36ee0de3
--- /dev/null
+++ b/src/ipc/capnp/echo.capnp
@@ -0,0 +1,17 @@
+# Copyright (c) 2021 The Bitcoin Core developers
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+@0x888b4f7f51e691f7;
+
+using Cxx = import "/capnp/c++.capnp";
+$Cxx.namespace("ipc::capnp::messages");
+
+using Proxy = import "/mp/proxy.capnp";
+$Proxy.include("interfaces/echo.h");
+$Proxy.include("ipc/capnp/echo.capnp.h");
+
+interface Echo $Proxy.wrap("interfaces::Echo") {
+ destroy @0 (context :Proxy.Context) -> ();
+ echo @1 (context :Proxy.Context, echo: Text) -> (result :Text);
+}
diff --git a/src/ipc/capnp/init-types.h b/src/ipc/capnp/init-types.h
new file mode 100644
index 0000000000..42031441b5
--- /dev/null
+++ b/src/ipc/capnp/init-types.h
@@ -0,0 +1,10 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_IPC_CAPNP_INIT_TYPES_H
+#define BITCOIN_IPC_CAPNP_INIT_TYPES_H
+
+#include <ipc/capnp/echo.capnp.proxy-types.h>
+
+#endif // BITCOIN_IPC_CAPNP_INIT_TYPES_H
diff --git a/src/ipc/capnp/init.capnp b/src/ipc/capnp/init.capnp
new file mode 100644
index 0000000000..e6d358c665
--- /dev/null
+++ b/src/ipc/capnp/init.capnp
@@ -0,0 +1,20 @@
+# Copyright (c) 2021 The Bitcoin Core developers
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+@0xf2c5cfa319406aa6;
+
+using Cxx = import "/capnp/c++.capnp";
+$Cxx.namespace("ipc::capnp::messages");
+
+using Proxy = import "/mp/proxy.capnp";
+$Proxy.include("interfaces/echo.h");
+$Proxy.include("interfaces/init.h");
+$Proxy.includeTypes("ipc/capnp/init-types.h");
+
+using Echo = import "echo.capnp";
+
+interface Init $Proxy.wrap("interfaces::Init") {
+ construct @0 (threadMap: Proxy.ThreadMap) -> (threadMap :Proxy.ThreadMap);
+ makeEcho @1 (context :Proxy.Context) -> (result :Echo.Echo);
+}
diff --git a/src/ipc/capnp/protocol.cpp b/src/ipc/capnp/protocol.cpp
new file mode 100644
index 0000000000..37b57a9525
--- /dev/null
+++ b/src/ipc/capnp/protocol.cpp
@@ -0,0 +1,93 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <interfaces/init.h>
+#include <ipc/capnp/context.h>
+#include <ipc/capnp/init.capnp.h>
+#include <ipc/capnp/init.capnp.proxy.h>
+#include <ipc/capnp/protocol.h>
+#include <ipc/exception.h>
+#include <ipc/protocol.h>
+#include <kj/async.h>
+#include <logging.h>
+#include <mp/proxy-io.h>
+#include <mp/proxy-types.h>
+#include <mp/util.h>
+#include <util/threadnames.h>
+
+#include <assert.h>
+#include <errno.h>
+#include <future>
+#include <memory>
+#include <mutex>
+#include <optional>
+#include <string>
+#include <thread>
+
+namespace ipc {
+namespace capnp {
+namespace {
+void IpcLogFn(bool raise, std::string message)
+{
+ LogPrint(BCLog::IPC, "%s\n", message);
+ if (raise) throw Exception(message);
+}
+
+class CapnpProtocol : public Protocol
+{
+public:
+ ~CapnpProtocol() noexcept(true)
+ {
+ if (m_loop) {
+ std::unique_lock<std::mutex> lock(m_loop->m_mutex);
+ m_loop->removeClient(lock);
+ }
+ if (m_loop_thread.joinable()) m_loop_thread.join();
+ assert(!m_loop);
+ };
+ std::unique_ptr<interfaces::Init> connect(int fd, const char* exe_name) override
+ {
+ startLoop(exe_name);
+ return mp::ConnectStream<messages::Init>(*m_loop, fd);
+ }
+ void serve(int fd, const char* exe_name, interfaces::Init& init) override
+ {
+ assert(!m_loop);
+ mp::g_thread_context.thread_name = mp::ThreadName(exe_name);
+ m_loop.emplace(exe_name, &IpcLogFn, &m_context);
+ mp::ServeStream<messages::Init>(*m_loop, fd, init);
+ m_loop->loop();
+ m_loop.reset();
+ }
+ void addCleanup(std::type_index type, void* iface, std::function<void()> cleanup) override
+ {
+ mp::ProxyTypeRegister::types().at(type)(iface).cleanup.emplace_back(std::move(cleanup));
+ }
+ Context& context() override { return m_context; }
+ void startLoop(const char* exe_name)
+ {
+ if (m_loop) return;
+ std::promise<void> promise;
+ m_loop_thread = std::thread([&] {
+ util::ThreadRename("capnp-loop");
+ m_loop.emplace(exe_name, &IpcLogFn, &m_context);
+ {
+ std::unique_lock<std::mutex> lock(m_loop->m_mutex);
+ m_loop->addClient(lock);
+ }
+ promise.set_value();
+ m_loop->loop();
+ m_loop.reset();
+ });
+ promise.get_future().wait();
+ }
+ Context m_context;
+ std::thread m_loop_thread;
+ std::optional<mp::EventLoop> m_loop;
+};
+} // namespace
+
+std::unique_ptr<Protocol> MakeCapnpProtocol() { return std::make_unique<CapnpProtocol>(); }
+} // namespace capnp
+} // namespace ipc
diff --git a/src/ipc/capnp/protocol.h b/src/ipc/capnp/protocol.h
new file mode 100644
index 0000000000..eb057949d2
--- /dev/null
+++ b/src/ipc/capnp/protocol.h
@@ -0,0 +1,17 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_IPC_CAPNP_PROTOCOL_H
+#define BITCOIN_IPC_CAPNP_PROTOCOL_H
+
+#include <memory>
+
+namespace ipc {
+class Protocol;
+namespace capnp {
+std::unique_ptr<Protocol> MakeCapnpProtocol();
+} // namespace capnp
+} // namespace ipc
+
+#endif // BITCOIN_IPC_CAPNP_PROTOCOL_H
diff --git a/src/ipc/context.h b/src/ipc/context.h
new file mode 100644
index 0000000000..924d7d7450
--- /dev/null
+++ b/src/ipc/context.h
@@ -0,0 +1,19 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_IPC_CONTEXT_H
+#define BITCOIN_IPC_CONTEXT_H
+
+namespace ipc {
+//! Context struct used to give IPC protocol implementations or implementation
+//! hooks access to application state, in case they need to run extra code that
+//! isn't needed within a single process, like code copying global state from an
+//! existing process to a new process when it's initialized, or code dealing
+//! with shared objects that are created or destroyed remotely.
+struct Context
+{
+};
+} // namespace ipc
+
+#endif // BITCOIN_IPC_CONTEXT_H
diff --git a/src/ipc/exception.h b/src/ipc/exception.h
new file mode 100644
index 0000000000..53dee8124a
--- /dev/null
+++ b/src/ipc/exception.h
@@ -0,0 +1,20 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_IPC_EXCEPTION_H
+#define BITCOIN_IPC_EXCEPTION_H
+
+#include <stdexcept>
+
+namespace ipc {
+//! Exception class thrown when a call to remote method fails due to an IPC
+//! error, like a socket getting disconnected.
+class Exception : public std::runtime_error
+{
+public:
+ using std::runtime_error::runtime_error;
+};
+} // namespace ipc
+
+#endif // BITCOIN_IPC_EXCEPTION_H
diff --git a/src/ipc/interfaces.cpp b/src/ipc/interfaces.cpp
new file mode 100644
index 0000000000..580590fde9
--- /dev/null
+++ b/src/ipc/interfaces.cpp
@@ -0,0 +1,78 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <fs.h>
+#include <interfaces/init.h>
+#include <interfaces/ipc.h>
+#include <ipc/capnp/protocol.h>
+#include <ipc/process.h>
+#include <ipc/protocol.h>
+#include <logging.h>
+#include <tinyformat.h>
+#include <util/system.h>
+
+#include <functional>
+#include <memory>
+#include <stdexcept>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <string>
+#include <unistd.h>
+#include <utility>
+#include <vector>
+
+namespace ipc {
+namespace {
+class IpcImpl : public interfaces::Ipc
+{
+public:
+ IpcImpl(const char* exe_name, const char* process_argv0, interfaces::Init& init)
+ : m_exe_name(exe_name), m_process_argv0(process_argv0), m_init(init),
+ m_protocol(ipc::capnp::MakeCapnpProtocol()), m_process(ipc::MakeProcess())
+ {
+ }
+ std::unique_ptr<interfaces::Init> spawnProcess(const char* new_exe_name) override
+ {
+ int pid;
+ int fd = m_process->spawn(new_exe_name, m_process_argv0, pid);
+ LogPrint(::BCLog::IPC, "Process %s pid %i launched\n", new_exe_name, pid);
+ auto init = m_protocol->connect(fd, m_exe_name);
+ Ipc::addCleanup(*init, [this, new_exe_name, pid] {
+ int status = m_process->waitSpawned(pid);
+ LogPrint(::BCLog::IPC, "Process %s pid %i exited with status %i\n", new_exe_name, pid, status);
+ });
+ return init;
+ }
+ bool startSpawnedProcess(int argc, char* argv[], int& exit_status) override
+ {
+ exit_status = EXIT_FAILURE;
+ int32_t fd = -1;
+ if (!m_process->checkSpawned(argc, argv, fd)) {
+ return false;
+ }
+ m_protocol->serve(fd, m_exe_name, m_init);
+ exit_status = EXIT_SUCCESS;
+ return true;
+ }
+ void addCleanup(std::type_index type, void* iface, std::function<void()> cleanup) override
+ {
+ m_protocol->addCleanup(type, iface, std::move(cleanup));
+ }
+ Context& context() override { return m_protocol->context(); }
+ const char* m_exe_name;
+ const char* m_process_argv0;
+ interfaces::Init& m_init;
+ std::unique_ptr<Protocol> m_protocol;
+ std::unique_ptr<Process> m_process;
+};
+} // namespace
+} // namespace ipc
+
+namespace interfaces {
+std::unique_ptr<Ipc> MakeIpc(const char* exe_name, const char* process_argv0, Init& init)
+{
+ return std::make_unique<ipc::IpcImpl>(exe_name, process_argv0, init);
+}
+} // namespace interfaces
diff --git a/src/ipc/process.cpp b/src/ipc/process.cpp
new file mode 100644
index 0000000000..9036b80c45
--- /dev/null
+++ b/src/ipc/process.cpp
@@ -0,0 +1,61 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <fs.h>
+#include <ipc/process.h>
+#include <ipc/protocol.h>
+#include <mp/util.h>
+#include <tinyformat.h>
+#include <util/strencodings.h>
+
+#include <cstdint>
+#include <exception>
+#include <iostream>
+#include <stdexcept>
+#include <stdlib.h>
+#include <string.h>
+#include <system_error>
+#include <unistd.h>
+#include <utility>
+#include <vector>
+
+namespace ipc {
+namespace {
+class ProcessImpl : public Process
+{
+public:
+ int spawn(const std::string& new_exe_name, const fs::path& argv0_path, int& pid) override
+ {
+ return mp::SpawnProcess(pid, [&](int fd) {
+ fs::path path = argv0_path;
+ path.remove_filename();
+ path /= fs::PathFromString(new_exe_name);
+ return std::vector<std::string>{fs::PathToString(path), "-ipcfd", strprintf("%i", fd)};
+ });
+ }
+ int waitSpawned(int pid) override { return mp::WaitProcess(pid); }
+ bool checkSpawned(int argc, char* argv[], int& fd) override
+ {
+ // If this process was not started with a single -ipcfd argument, it is
+ // not a process spawned by the spawn() call above, so return false and
+ // do not try to serve requests.
+ if (argc != 3 || strcmp(argv[1], "-ipcfd") != 0) {
+ return false;
+ }
+ // If a single -ipcfd argument was provided, return true and get the
+ // file descriptor so Protocol::serve() can be called to handle
+ // requests from the parent process. The -ipcfd argument is not valid
+ // in combination with other arguments because the parent process
+ // should be able to control the child process through the IPC protocol
+ // without passing information out of band.
+ if (!ParseInt32(argv[2], &fd)) {
+ throw std::runtime_error(strprintf("Invalid -ipcfd number '%s'", argv[2]));
+ }
+ return true;
+ }
+};
+} // namespace
+
+std::unique_ptr<Process> MakeProcess() { return std::make_unique<ProcessImpl>(); }
+} // namespace ipc
diff --git a/src/ipc/process.h b/src/ipc/process.h
new file mode 100644
index 0000000000..4bb2930d9c
--- /dev/null
+++ b/src/ipc/process.h
@@ -0,0 +1,42 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_IPC_PROCESS_H
+#define BITCOIN_IPC_PROCESS_H
+
+#include <memory>
+#include <string>
+
+namespace ipc {
+class Protocol;
+
+//! IPC process interface for spawning bitcoin processes and serving requests
+//! in processes that have been spawned.
+//!
+//! There will be different implementations of this interface depending on the
+//! platform (e.g. unix, windows).
+class Process
+{
+public:
+ virtual ~Process() = default;
+
+ //! Spawn process and return socket file descriptor for communicating with
+ //! it.
+ virtual int spawn(const std::string& new_exe_name, const fs::path& argv0_path, int& pid) = 0;
+
+ //! Wait for spawned process to exit and return its exit code.
+ virtual int waitSpawned(int pid) = 0;
+
+ //! Parse command line and determine if current process is a spawned child
+ //! process. If so, return true and a file descriptor for communicating
+ //! with the parent process.
+ virtual bool checkSpawned(int argc, char* argv[], int& fd) = 0;
+};
+
+//! Constructor for Process interface. Implementation will vary depending on
+//! the platform (unix or windows).
+std::unique_ptr<Process> MakeProcess();
+} // namespace ipc
+
+#endif // BITCOIN_IPC_PROCESS_H
diff --git a/src/ipc/protocol.h b/src/ipc/protocol.h
new file mode 100644
index 0000000000..4cd892e411
--- /dev/null
+++ b/src/ipc/protocol.h
@@ -0,0 +1,44 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_IPC_PROTOCOL_H
+#define BITCOIN_IPC_PROTOCOL_H
+
+#include <interfaces/init.h>
+
+#include <functional>
+#include <memory>
+#include <typeindex>
+
+namespace ipc {
+struct Context;
+
+//! IPC protocol interface for calling IPC methods over sockets.
+//!
+//! There may be different implementations of this interface for different IPC
+//! protocols (e.g. Cap'n Proto, gRPC, JSON-RPC, or custom protocols).
+class Protocol
+{
+public:
+ virtual ~Protocol() = default;
+
+ //! Return Init interface that forwards requests over given socket descriptor.
+ //! Socket communication is handled on a background thread.
+ virtual std::unique_ptr<interfaces::Init> connect(int fd, const char* exe_name) = 0;
+
+ //! Handle requests on provided socket descriptor, forwarding them to the
+ //! provided Init interface. Socket communication is handled on the
+ //! current thread, and this call blocks until the socket is closed.
+ virtual void serve(int fd, const char* exe_name, interfaces::Init& init) = 0;
+
+ //! Add cleanup callback to interface that will run when the interface is
+ //! deleted.
+ virtual void addCleanup(std::type_index type, void* iface, std::function<void()> cleanup) = 0;
+
+ //! Context accessor.
+ virtual Context& context() = 0;
+};
+} // namespace ipc
+
+#endif // BITCOIN_IPC_PROTOCOL_H
diff --git a/src/key.cpp b/src/key.cpp
index 1e59b301cb..354bd097ce 100644
--- a/src/key.cpp
+++ b/src/key.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Copyright (c) 2017 The Zcash developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,10 +7,13 @@
#include <crypto/common.h>
#include <crypto/hmac_sha512.h>
+#include <hash.h>
#include <random.h>
#include <secp256k1.h>
+#include <secp256k1_extrakeys.h>
#include <secp256k1_recovery.h>
+#include <secp256k1_schnorrsig.h>
static secp256k1_context* secp256k1_context_sign = nullptr;
@@ -226,6 +229,12 @@ bool CKey::Sign(const uint256 &hash, std::vector<unsigned char>& vchSig, bool gr
assert(ret);
secp256k1_ecdsa_signature_serialize_der(secp256k1_context_sign, vchSig.data(), &nSigLen, &sig);
vchSig.resize(nSigLen);
+ // Additional verification step to prevent using a potentially corrupted signature
+ secp256k1_pubkey pk;
+ ret = secp256k1_ec_pubkey_create(secp256k1_context_sign, &pk, begin());
+ assert(ret);
+ ret = secp256k1_ecdsa_verify(GetVerifyContext(), &sig, hash.begin(), &pk);
+ assert(ret);
return true;
}
@@ -248,16 +257,49 @@ bool CKey::SignCompact(const uint256 &hash, std::vector<unsigned char>& vchSig)
return false;
vchSig.resize(CPubKey::COMPACT_SIGNATURE_SIZE);
int rec = -1;
- secp256k1_ecdsa_recoverable_signature sig;
- int ret = secp256k1_ecdsa_sign_recoverable(secp256k1_context_sign, &sig, hash.begin(), begin(), secp256k1_nonce_function_rfc6979, nullptr);
+ secp256k1_ecdsa_recoverable_signature rsig;
+ int ret = secp256k1_ecdsa_sign_recoverable(secp256k1_context_sign, &rsig, hash.begin(), begin(), secp256k1_nonce_function_rfc6979, nullptr);
assert(ret);
- ret = secp256k1_ecdsa_recoverable_signature_serialize_compact(secp256k1_context_sign, &vchSig[1], &rec, &sig);
+ ret = secp256k1_ecdsa_recoverable_signature_serialize_compact(secp256k1_context_sign, &vchSig[1], &rec, &rsig);
assert(ret);
assert(rec != -1);
vchSig[0] = 27 + rec + (fCompressed ? 4 : 0);
+ // Additional verification step to prevent using a potentially corrupted signature
+ secp256k1_pubkey epk, rpk;
+ ret = secp256k1_ec_pubkey_create(secp256k1_context_sign, &epk, begin());
+ assert(ret);
+ ret = secp256k1_ecdsa_recover(GetVerifyContext(), &rpk, &rsig, hash.begin());
+ assert(ret);
+ ret = secp256k1_ec_pubkey_cmp(GetVerifyContext(), &epk, &rpk);
+ assert(ret == 0);
return true;
}
+bool CKey::SignSchnorr(const uint256& hash, Span<unsigned char> sig, const uint256* merkle_root, const uint256& aux) const
+{
+ assert(sig.size() == 64);
+ secp256k1_keypair keypair;
+ if (!secp256k1_keypair_create(secp256k1_context_sign, &keypair, begin())) return false;
+ if (merkle_root) {
+ secp256k1_xonly_pubkey pubkey;
+ if (!secp256k1_keypair_xonly_pub(secp256k1_context_sign, &pubkey, nullptr, &keypair)) return false;
+ unsigned char pubkey_bytes[32];
+ if (!secp256k1_xonly_pubkey_serialize(secp256k1_context_sign, pubkey_bytes, &pubkey)) return false;
+ uint256 tweak = XOnlyPubKey(pubkey_bytes).ComputeTapTweakHash(merkle_root->IsNull() ? nullptr : merkle_root);
+ if (!secp256k1_keypair_xonly_tweak_add(GetVerifyContext(), &keypair, tweak.data())) return false;
+ }
+ bool ret = secp256k1_schnorrsig_sign(secp256k1_context_sign, sig.data(), hash.data(), &keypair, aux.data());
+ if (ret) {
+ // Additional verification step to prevent using a potentially corrupted signature
+ secp256k1_xonly_pubkey pubkey_verify;
+ ret = secp256k1_keypair_xonly_pub(GetVerifyContext(), &pubkey_verify, nullptr, &keypair);
+ ret &= secp256k1_schnorrsig_verify(GetVerifyContext(), sig.data(), hash.begin(), 32, &pubkey_verify);
+ }
+ if (!ret) memory_cleanse(sig.data(), sig.size());
+ memory_cleanse(&keypair, sizeof(keypair));
+ return ret;
+}
+
bool CKey::Load(const CPrivKey &seckey, const CPubKey &vchPubKey, bool fSkipCheck=false) {
if (!ec_seckey_import_der(secp256k1_context_sign, (unsigned char*)begin(), seckey.data(), seckey.size()))
return false;
@@ -293,15 +335,16 @@ bool CKey::Derive(CKey& keyChild, ChainCode &ccChild, unsigned int nChild, const
bool CExtKey::Derive(CExtKey &out, unsigned int _nChild) const {
out.nDepth = nDepth + 1;
CKeyID id = key.GetPubKey().GetID();
- memcpy(&out.vchFingerprint[0], &id, 4);
+ memcpy(out.vchFingerprint, &id, 4);
out.nChild = _nChild;
return key.Derive(out.key, out.chaincode, _nChild, chaincode);
}
-void CExtKey::SetSeed(const unsigned char *seed, unsigned int nSeedLen) {
+void CExtKey::SetSeed(Span<const uint8_t> seed)
+{
static const unsigned char hashkey[] = {'B','i','t','c','o','i','n',' ','s','e','e','d'};
std::vector<unsigned char, secure_allocator<unsigned char>> vout(64);
- CHMAC_SHA512(hashkey, sizeof(hashkey)).Write(seed, nSeedLen).Finalize(vout.data());
+ CHMAC_SHA512{hashkey, sizeof(hashkey)}.Write(seed.data(), seed.size()).Finalize(vout.data());
key.Set(vout.data(), vout.data() + 32, true);
memcpy(chaincode.begin(), vout.data() + 32, 32);
nDepth = 0;
@@ -312,7 +355,7 @@ void CExtKey::SetSeed(const unsigned char *seed, unsigned int nSeedLen) {
CExtPubKey CExtKey::Neuter() const {
CExtPubKey ret;
ret.nDepth = nDepth;
- memcpy(&ret.vchFingerprint[0], &vchFingerprint[0], 4);
+ memcpy(ret.vchFingerprint, vchFingerprint, 4);
ret.nChild = nChild;
ret.pubkey = key.GetPubKey();
ret.chaincode = chaincode;
@@ -322,8 +365,7 @@ CExtPubKey CExtKey::Neuter() const {
void CExtKey::Encode(unsigned char code[BIP32_EXTKEY_SIZE]) const {
code[0] = nDepth;
memcpy(code+1, vchFingerprint, 4);
- code[5] = (nChild >> 24) & 0xFF; code[6] = (nChild >> 16) & 0xFF;
- code[7] = (nChild >> 8) & 0xFF; code[8] = (nChild >> 0) & 0xFF;
+ WriteBE32(code+5, nChild);
memcpy(code+9, chaincode.begin(), 32);
code[41] = 0;
assert(key.size() == 32);
@@ -333,9 +375,10 @@ void CExtKey::Encode(unsigned char code[BIP32_EXTKEY_SIZE]) const {
void CExtKey::Decode(const unsigned char code[BIP32_EXTKEY_SIZE]) {
nDepth = code[0];
memcpy(vchFingerprint, code+1, 4);
- nChild = (code[5] << 24) | (code[6] << 16) | (code[7] << 8) | code[8];
+ nChild = ReadBE32(code+5);
memcpy(chaincode.begin(), code+9, 32);
key.Set(code+42, code+BIP32_EXTKEY_SIZE, true);
+ if ((nDepth == 0 && (nChild != 0 || ReadLE32(vchFingerprint) != 0)) || code[41] != 0) key = CKey();
}
bool ECC_InitSanityCheck() {
diff --git a/src/key.h b/src/key.h
index 206322956c..b21e658107 100644
--- a/src/key.h
+++ b/src/key.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Copyright (c) 2017 The Zcash developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -17,7 +17,6 @@
/**
- * secure_allocator is defined in allocators.h
* CPrivKey is a serialized private key, with all parameters included
* (SIZE bytes)
*/
@@ -86,6 +85,7 @@ public:
//! Simple read-only vector-like interface.
unsigned int size() const { return (fValid ? keydata.size() : 0); }
+ const unsigned char* data() const { return keydata.data(); }
const unsigned char* begin() const { return keydata.data(); }
const unsigned char* end() const { return keydata.data() + size(); }
@@ -128,6 +128,23 @@ public:
*/
bool SignCompact(const uint256& hash, std::vector<unsigned char>& vchSig) const;
+ /**
+ * Create a BIP-340 Schnorr signature, for the xonly-pubkey corresponding to *this,
+ * optionally tweaked by *merkle_root. Additional nonce entropy is provided through
+ * aux.
+ *
+ * merkle_root is used to optionally perform tweaking of the private key, as specified
+ * in BIP341:
+ * - If merkle_root == nullptr: no tweaking is done, sign with key directly (this is
+ * used for signatures in BIP342 script).
+ * - If merkle_root->IsNull(): sign with key + H_TapTweak(pubkey) (this is used for
+ * key path spending when no scripts are present).
+ * - Otherwise: sign with key + H_TapTweak(pubkey || *merkle_root)
+ * (this is used for key path spending, with specific
+ * Merkle root of the script tree).
+ */
+ bool SignSchnorr(const uint256& hash, Span<unsigned char> sig, const uint256* merkle_root, const uint256& aux) const;
+
//! Derive BIP32 child key.
bool Derive(CKey& keyChild, ChainCode &ccChild, unsigned int nChild, const ChainCode& cc) const;
@@ -151,7 +168,7 @@ struct CExtKey {
friend bool operator==(const CExtKey& a, const CExtKey& b)
{
return a.nDepth == b.nDepth &&
- memcmp(&a.vchFingerprint[0], &b.vchFingerprint[0], sizeof(vchFingerprint)) == 0 &&
+ memcmp(a.vchFingerprint, b.vchFingerprint, sizeof(vchFingerprint)) == 0 &&
a.nChild == b.nChild &&
a.chaincode == b.chaincode &&
a.key == b.key;
@@ -161,7 +178,7 @@ struct CExtKey {
void Decode(const unsigned char code[BIP32_EXTKEY_SIZE]);
bool Derive(CExtKey& out, unsigned int nChild) const;
CExtPubKey Neuter() const;
- void SetSeed(const unsigned char* seed, unsigned int nSeedLen);
+ void SetSeed(Span<const uint8_t> seed);
};
/** Initialize the elliptic curve support. May not be called twice without calling ECC_Stop first. */
diff --git a/src/key_io.cpp b/src/key_io.cpp
index e27673fd16..6dd6f82112 100644
--- a/src/key_io.cpp
+++ b/src/key_io.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2014-2019 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -43,7 +43,7 @@ public:
std::vector<unsigned char> data = {0};
data.reserve(33);
ConvertBits<8, 5, true>([&](unsigned char c) { data.push_back(c); }, id.begin(), id.end());
- return bech32::Encode(m_params.Bech32HRP(), data);
+ return bech32::Encode(bech32::Encoding::BECH32, m_params.Bech32HRP(), data);
}
std::string operator()(const WitnessV0ScriptHash& id) const
@@ -51,7 +51,15 @@ public:
std::vector<unsigned char> data = {0};
data.reserve(53);
ConvertBits<8, 5, true>([&](unsigned char c) { data.push_back(c); }, id.begin(), id.end());
- return bech32::Encode(m_params.Bech32HRP(), data);
+ return bech32::Encode(bech32::Encoding::BECH32, m_params.Bech32HRP(), data);
+ }
+
+ std::string operator()(const WitnessV1Taproot& tap) const
+ {
+ std::vector<unsigned char> data = {1};
+ data.reserve(53);
+ ConvertBits<8, 5, true>([&](unsigned char c) { data.push_back(c); }, tap.begin(), tap.end());
+ return bech32::Encode(bech32::Encoding::BECH32M, m_params.Bech32HRP(), data);
}
std::string operator()(const WitnessUnknown& id) const
@@ -62,18 +70,22 @@ public:
std::vector<unsigned char> data = {(unsigned char)id.version};
data.reserve(1 + (id.length * 8 + 4) / 5);
ConvertBits<8, 5, true>([&](unsigned char c) { data.push_back(c); }, id.program, id.program + id.length);
- return bech32::Encode(m_params.Bech32HRP(), data);
+ return bech32::Encode(bech32::Encoding::BECH32M, m_params.Bech32HRP(), data);
}
std::string operator()(const CNoDestination& no) const { return {}; }
};
-CTxDestination DecodeDestination(const std::string& str, const CChainParams& params, std::string& error_str)
+CTxDestination DecodeDestination(const std::string& str, const CChainParams& params, std::string& error_str, std::vector<int>* error_locations)
{
std::vector<unsigned char> data;
uint160 hash;
error_str = "";
- if (DecodeBase58Check(str, data, 21)) {
+
+ // Note this will be false if it is a valid Bech32 address for a different network
+ bool is_bech32 = (ToLower(str.substr(0, params.Bech32HRP().size())) == params.Bech32HRP());
+
+ if (!is_bech32 && DecodeBase58Check(str, data, 21)) {
// base58-encoded Bitcoin addresses.
// Public-key-hash-addresses have version 0 (or 111 testnet).
// The data vector contains RIPEMD160(SHA256(pubkey)), where pubkey is the serialized public key.
@@ -90,25 +102,46 @@ CTxDestination DecodeDestination(const std::string& str, const CChainParams& par
return ScriptHash(hash);
}
- // Set potential error message.
- // This message may be changed if the address can also be interpreted as a Bech32 address.
- error_str = "Invalid prefix for Base58-encoded address";
+ // If the prefix of data matches either the script or pubkey prefix, the length must have been wrong
+ if ((data.size() >= script_prefix.size() &&
+ std::equal(script_prefix.begin(), script_prefix.end(), data.begin())) ||
+ (data.size() >= pubkey_prefix.size() &&
+ std::equal(pubkey_prefix.begin(), pubkey_prefix.end(), data.begin()))) {
+ error_str = "Invalid length for Base58 address";
+ } else {
+ error_str = "Invalid prefix for Base58-encoded address";
+ }
+ return CNoDestination();
+ } else if (!is_bech32) {
+ // Try Base58 decoding without the checksum, using a much larger max length
+ if (!DecodeBase58(str, data, 100)) {
+ error_str = "Not a valid Bech32 or Base58 encoding";
+ } else {
+ error_str = "Invalid checksum or length of Base58 address";
+ }
+ return CNoDestination();
}
- data.clear();
- auto bech = bech32::Decode(str);
- if (bech.second.size() > 0) {
- error_str = "";
- if (bech.first != params.Bech32HRP()) {
+ data.clear();
+ const auto dec = bech32::Decode(str);
+ if ((dec.encoding == bech32::Encoding::BECH32 || dec.encoding == bech32::Encoding::BECH32M) && dec.data.size() > 0) {
+ // Bech32 decoding
+ if (dec.hrp != params.Bech32HRP()) {
error_str = "Invalid prefix for Bech32 address";
return CNoDestination();
}
-
- // Bech32 decoding
- int version = bech.second[0]; // The first 5 bit symbol is the witness version (0-16)
+ int version = dec.data[0]; // The first 5 bit symbol is the witness version (0-16)
+ if (version == 0 && dec.encoding != bech32::Encoding::BECH32) {
+ error_str = "Version 0 witness address must use Bech32 checksum";
+ return CNoDestination();
+ }
+ if (version != 0 && dec.encoding != bech32::Encoding::BECH32M) {
+ error_str = "Version 1+ witness address must use Bech32m checksum";
+ return CNoDestination();
+ }
// The rest of the symbols are converted witness program bytes.
- data.reserve(((bech.second.size() - 1) * 5) / 8);
- if (ConvertBits<5, 8, false>([&](unsigned char c) { data.push_back(c); }, bech.second.begin() + 1, bech.second.end())) {
+ data.reserve(((dec.data.size() - 1) * 5) / 8);
+ if (ConvertBits<5, 8, false>([&](unsigned char c) { data.push_back(c); }, dec.data.begin() + 1, dec.data.end())) {
if (version == 0) {
{
WitnessV0KeyHash keyid;
@@ -129,6 +162,13 @@ CTxDestination DecodeDestination(const std::string& str, const CChainParams& par
return CNoDestination();
}
+ if (version == 1 && data.size() == WITNESS_V1_TAPROOT_SIZE) {
+ static_assert(WITNESS_V1_TAPROOT_SIZE == WitnessV1Taproot::size());
+ WitnessV1Taproot tap;
+ std::copy(data.begin(), data.end(), tap.begin());
+ return tap;
+ }
+
if (version > 16) {
error_str = "Invalid Bech32 address witness version";
return CNoDestination();
@@ -147,9 +187,10 @@ CTxDestination DecodeDestination(const std::string& str, const CChainParams& par
}
}
- // Set error message if address can't be interpreted as Base58 or Bech32.
- if (error_str.empty()) error_str = "Invalid address format";
-
+ // Perform Bech32 error location
+ auto res = bech32::LocateErrors(str);
+ error_str = res.first;
+ if (error_locations) *error_locations = std::move(res.second);
return CNoDestination();
}
} // namespace
@@ -237,9 +278,9 @@ std::string EncodeDestination(const CTxDestination& dest)
return std::visit(DestinationEncoder(Params()), dest);
}
-CTxDestination DecodeDestination(const std::string& str, std::string& error_msg)
+CTxDestination DecodeDestination(const std::string& str, std::string& error_msg, std::vector<int>* error_locations)
{
- return DecodeDestination(str, Params(), error_msg);
+ return DecodeDestination(str, Params(), error_msg, error_locations);
}
CTxDestination DecodeDestination(const std::string& str)
@@ -251,7 +292,7 @@ CTxDestination DecodeDestination(const std::string& str)
bool IsValidDestinationString(const std::string& str, const CChainParams& params)
{
std::string error_msg;
- return IsValidDestination(DecodeDestination(str, params, error_msg));
+ return IsValidDestination(DecodeDestination(str, params, error_msg, nullptr));
}
bool IsValidDestinationString(const std::string& str)
diff --git a/src/key_io.h b/src/key_io.h
index bd81f7847e..07b80c4b85 100644
--- a/src/key_io.h
+++ b/src/key_io.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2018 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -23,7 +23,7 @@ std::string EncodeExtPubKey(const CExtPubKey& extpubkey);
std::string EncodeDestination(const CTxDestination& dest);
CTxDestination DecodeDestination(const std::string& str);
-CTxDestination DecodeDestination(const std::string& str, std::string& error_msg);
+CTxDestination DecodeDestination(const std::string& str, std::string& error_msg, std::vector<int>* error_locations = nullptr);
bool IsValidDestinationString(const std::string& str);
bool IsValidDestinationString(const std::string& str, const CChainParams& params);
diff --git a/src/logging.cpp b/src/logging.cpp
index 866213786e..764941c8ea 100644
--- a/src/logging.cpp
+++ b/src/logging.cpp
@@ -1,13 +1,16 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <fs.h>
#include <logging.h>
#include <util/threadnames.h>
#include <util/string.h>
#include <util/time.h>
+#include <algorithm>
+#include <array>
#include <mutex>
const char * const DEFAULT_DEBUGLOGFILE = "debug.log";
@@ -124,8 +127,7 @@ bool BCLog::Logger::DefaultShrinkDebugFile() const
return m_categories == BCLog::NONE;
}
-struct CLogCategoryDesc
-{
+struct CLogCategoryDesc {
BCLog::LogFlags flag;
std::string category;
};
@@ -157,6 +159,10 @@ const CLogCategoryDesc LogCategories[] =
{BCLog::LEVELDB, "leveldb"},
{BCLog::VALIDATION, "validation"},
{BCLog::I2P, "i2p"},
+ {BCLog::IPC, "ipc"},
+ {BCLog::LOCK, "lock"},
+ {BCLog::UTIL, "util"},
+ {BCLog::BLOCKSTORE, "blockstorage"},
{BCLog::ALL, "1"},
{BCLog::ALL, "all"},
};
@@ -178,15 +184,18 @@ bool GetLogCategory(BCLog::LogFlags& flag, const std::string& str)
std::vector<LogCategory> BCLog::Logger::LogCategoriesList() const
{
+ // Sort log categories by alphabetical order.
+ std::array<CLogCategoryDesc, std::size(LogCategories)> categories;
+ std::copy(std::begin(LogCategories), std::end(LogCategories), categories.begin());
+ std::sort(categories.begin(), categories.end(), [](auto a, auto b) { return a.category < b.category; });
+
std::vector<LogCategory> ret;
- for (const CLogCategoryDesc& category_desc : LogCategories) {
- // Omit the special cases.
- if (category_desc.flag != BCLog::NONE && category_desc.flag != BCLog::ALL) {
- LogCategory catActive;
- catActive.category = category_desc.category;
- catActive.active = WillLogCategory(category_desc.flag);
- ret.push_back(catActive);
- }
+ for (const CLogCategoryDesc& category_desc : categories) {
+ if (category_desc.flag == BCLog::NONE || category_desc.flag == BCLog::ALL) continue;
+ LogCategory catActive;
+ catActive.category = category_desc.category;
+ catActive.active = WillLogCategory(category_desc.flag);
+ ret.push_back(catActive);
}
return ret;
}
@@ -236,7 +245,7 @@ namespace BCLog {
}
return ret;
}
-}
+} // namespace BCLog
void BCLog::Logger::LogPrintStr(const std::string& str, const std::string& logging_function, const std::string& source_file, const int source_line)
{
diff --git a/src/logging.h b/src/logging.h
index 436f0cd12e..710e6c4c32 100644
--- a/src/logging.h
+++ b/src/logging.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,6 +13,7 @@
#include <atomic>
#include <cstdint>
+#include <functional>
#include <list>
#include <mutex>
#include <string>
@@ -58,6 +59,10 @@ namespace BCLog {
LEVELDB = (1 << 20),
VALIDATION = (1 << 21),
I2P = (1 << 22),
+ IPC = (1 << 23),
+ LOCK = (1 << 24),
+ UTIL = (1 << 25),
+ BLOCKSTORE = (1 << 26),
ALL = ~(uint32_t)0,
};
@@ -137,9 +142,9 @@ namespace BCLog {
bool DisableCategory(const std::string& str);
bool WillLogCategory(LogFlags category) const;
- /** Returns a vector of the log categories */
+ /** Returns a vector of the log categories in alphabetical order. */
std::vector<LogCategory> LogCategoriesList() const;
- /** Returns a string with the log categories */
+ /** Returns a string with the log categories in alphabetical order. */
std::string LogCategoriesString() const
{
return Join(LogCategoriesList(), ", ", [&](const LogCategory& i) { return i.category; });
diff --git a/src/logging/timer.h b/src/logging/timer.h
index 159920e397..fc5307bc62 100644
--- a/src/logging/timer.h
+++ b/src/logging/timer.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,6 +9,7 @@
#include <logging.h>
#include <util/macros.h>
#include <util/time.h>
+#include <util/types.h>
#include <chrono>
#include <string>
@@ -26,10 +27,12 @@ public:
Timer(
std::string prefix,
std::string end_msg,
- BCLog::LogFlags log_category = BCLog::LogFlags::ALL) :
+ BCLog::LogFlags log_category = BCLog::LogFlags::ALL,
+ bool msg_on_completion = true) :
m_prefix(std::move(prefix)),
m_title(std::move(end_msg)),
- m_log_category(log_category)
+ m_log_category(log_category),
+ m_message_on_completion(msg_on_completion)
{
this->Log(strprintf("%s started", m_title));
m_start_t = GetTime<std::chrono::microseconds>();
@@ -37,7 +40,11 @@ public:
~Timer()
{
- this->Log(strprintf("%s completed", m_title));
+ if (m_message_on_completion) {
+ this->Log(strprintf("%s completed", m_title));
+ } else {
+ this->Log("completed");
+ }
}
void Log(const std::string& msg)
@@ -58,43 +65,43 @@ public:
return strprintf("%s: %s", m_prefix, msg);
}
- std::string units = "";
- float divisor = 1;
-
- if (std::is_same<TimeType, std::chrono::microseconds>::value) {
- units = "μs";
- } else if (std::is_same<TimeType, std::chrono::milliseconds>::value) {
- units = "ms";
- divisor = 1000.;
- } else if (std::is_same<TimeType, std::chrono::seconds>::value) {
- units = "s";
- divisor = 1000. * 1000.;
+ if constexpr (std::is_same<TimeType, std::chrono::microseconds>::value) {
+ return strprintf("%s: %s (%iμs)", m_prefix, msg, end_time.count());
+ } else if constexpr (std::is_same<TimeType, std::chrono::milliseconds>::value) {
+ return strprintf("%s: %s (%.2fms)", m_prefix, msg, end_time.count() * 0.001);
+ } else if constexpr (std::is_same<TimeType, std::chrono::seconds>::value) {
+ return strprintf("%s: %s (%.2fs)", m_prefix, msg, end_time.count() * 0.000001);
+ } else {
+ static_assert(ALWAYS_FALSE<TimeType>, "Error: unexpected time type");
}
-
- const float time_ms = end_time.count() / divisor;
- return strprintf("%s: %s (%.2f%s)", m_prefix, msg, time_ms, units);
}
private:
std::chrono::microseconds m_start_t{};
//! Log prefix; usually the name of the function this was created in.
- const std::string m_prefix{};
+ const std::string m_prefix;
//! A descriptive message of what is being timed.
- const std::string m_title{};
+ const std::string m_title;
//! Forwarded on to LogPrint if specified - has the effect of only
//! outputting the timing log when a particular debug= category is specified.
- const BCLog::LogFlags m_log_category{};
+ const BCLog::LogFlags m_log_category;
+ //! Whether to output the message again on completion.
+ const bool m_message_on_completion;
};
} // namespace BCLog
+#define LOG_TIME_MICROS_WITH_CATEGORY(end_msg, log_category) \
+ BCLog::Timer<std::chrono::microseconds> PASTE2(logging_timer, __COUNTER__)(__func__, end_msg, log_category)
#define LOG_TIME_MILLIS_WITH_CATEGORY(end_msg, log_category) \
BCLog::Timer<std::chrono::milliseconds> PASTE2(logging_timer, __COUNTER__)(__func__, end_msg, log_category)
+#define LOG_TIME_MILLIS_WITH_CATEGORY_MSG_ONCE(end_msg, log_category) \
+ BCLog::Timer<std::chrono::milliseconds> PASTE2(logging_timer, __COUNTER__)(__func__, end_msg, log_category, /* msg_on_completion=*/false)
#define LOG_TIME_SECONDS(end_msg) \
BCLog::Timer<std::chrono::seconds> PASTE2(logging_timer, __COUNTER__)(__func__, end_msg)
diff --git a/src/mapport.cpp b/src/mapport.cpp
index 2df4ce45d2..42ca366089 100644
--- a/src/mapport.cpp
+++ b/src/mapport.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,7 +14,9 @@
#include <netaddress.h>
#include <netbase.h>
#include <threadinterrupt.h>
+#include <util/syscall_sandbox.h>
#include <util/system.h>
+#include <util/thread.h>
#ifdef USE_NATPMP
#include <compat.h>
@@ -221,6 +223,7 @@ static bool ProcessUpnp()
static void ThreadMapPort()
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::INITIALIZATION_MAP_PORT);
bool ok;
do {
ok = false;
@@ -255,7 +258,7 @@ void StartThreadMapPort()
{
if (!g_mapport_thread.joinable()) {
assert(!g_mapport_interrupt);
- g_mapport_thread = std::thread(std::bind(&TraceThread<void (*)()>, "mapport", &ThreadMapPort));
+ g_mapport_thread = std::thread(&util::TraceThread, "mapport", &ThreadMapPort);
}
}
diff --git a/src/merkleblock.h b/src/merkleblock.h
index 0e4ed72130..b546b17f52 100644
--- a/src/merkleblock.h
+++ b/src/merkleblock.h
@@ -1,15 +1,15 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_MERKLEBLOCK_H
#define BITCOIN_MERKLEBLOCK_H
+#include <common/bloom.h>
+#include <primitives/block.h>
#include <serialize.h>
#include <uint256.h>
-#include <primitives/block.h>
-#include <bloom.h>
#include <vector>
diff --git a/src/minisketch/.cirrus.yml b/src/minisketch/.cirrus.yml
new file mode 100644
index 0000000000..4a5353f137
--- /dev/null
+++ b/src/minisketch/.cirrus.yml
@@ -0,0 +1,154 @@
+env:
+ BUILD: check
+ HOST:
+ MAKEFLAGS: -j4
+ BENCH: yes
+ TESTRUNS:
+ EXEC_CMD:
+ ENABLE_FIELDS:
+
+cat_logs_snippet: &CAT_LOGS
+ on_failure:
+ cat_test_log_script:
+ - cat test-suite.log || true
+ cat_config_log_script:
+ - cat config.log || true
+ cat_test_env_script:
+ - cat test_env.log || true
+ cat_ci_env_script:
+ - env
+
+merge_base_script_snippet: &MERGE_BASE
+ merge_base_script:
+ - if [ "$CIRRUS_PR" = "" ]; then exit 0; fi
+ - git fetch $CIRRUS_REPO_CLONE_URL $CIRRUS_BASE_BRANCH
+ - git config --global user.email "ci@ci.ci"
+ - git config --global user.name "ci"
+ - git merge FETCH_HEAD # Merge base to detect silent merge conflicts
+
+env_matrix_snippet: &ENV_MATRIX_VALGRIND
+ - env:
+ ENABLE_FIELDS: "7,32,58"
+ - env:
+ BUILD: distcheck
+ - env:
+ EXEC_CMD: valgrind --error-exitcode=42
+ TESTRUNS: 1
+ BUILD:
+
+env_matrix_snippet: &ENV_MATRIX_SAN
+ - env:
+ ENABLE_FIELDS: 28
+ - env:
+ BUILD: distcheck
+ - env:
+ CXXFLAGS: "-fsanitize=undefined -fno-omit-frame-pointer"
+ LDFLAGS: "-fsanitize=undefined -fno-omit-frame-pointer"
+ UBSAN_OPTIONS: "print_stacktrace=1:halt_on_error=1"
+ BENCH: no
+
+env_matrix_snippet: &ENV_MATRIX_SAN_VALGRIND
+ - env:
+ ENABLE_FIELDS: "11,64,37"
+ - env:
+ BUILD: distcheck
+ - env:
+ EXEC_CMD: valgrind --error-exitcode=42
+ TESTRUNS: 1
+ BUILD:
+ - env:
+ CXXFLAGS: "-fsanitize=undefined -fno-omit-frame-pointer"
+ LDFLAGS: "-fsanitize=undefined -fno-omit-frame-pointer"
+ UBSAN_OPTIONS: "print_stacktrace=1:halt_on_error=1"
+ BENCH: no
+
+task:
+ name: "x86_64: Linux (Debian stable)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ memory: 2G
+ cpu: 4
+ matrix:
+ << : *ENV_MATRIX_SAN_VALGRIND
+ matrix:
+ - env:
+ CC: gcc
+ - env:
+ CC: clang
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "i686: Linux (Debian stable)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ memory: 2G
+ cpu: 4
+ env:
+ HOST: i686-linux-gnu
+ matrix:
+ << : *ENV_MATRIX_VALGRIND
+ matrix:
+ - env:
+ CC: i686-linux-gnu-gcc
+ - env:
+ CC: clang --target=i686-pc-linux-gnu -isystem /usr/i686-linux-gnu/include
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "x86_64: macOS Catalina"
+ macos_instance:
+ image: catalina-base
+ env:
+ # Cirrus gives us a fixed number of 12 virtual CPUs.
+ MAKEFLAGS: -j13
+ matrix:
+ << : *ENV_MATRIX_SAN
+ matrix:
+ - env:
+ CC: gcc-9
+ - env:
+ CC: clang
+ brew_script:
+ - brew update
+ - brew install automake libtool gcc@9
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "s390x (big-endian): Linux (Debian stable, QEMU)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 4
+ memory: 2G
+ env:
+ EXEC_CMD: qemu-s390x -L /usr/s390x-linux-gnu
+ HOST: s390x-linux-gnu
+ BUILD:
+ << : *MERGE_BASE
+ test_script:
+ # https://sourceware.org/bugzilla/show_bug.cgi?id=27008
+ - rm /etc/ld.so.cache
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "x86_64-w64-mingw32: Linux (Debian stable, Wine)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 4
+ memory: 2G
+ env:
+ EXEC_CMD: wine
+ HOST: x86_64-w64-mingw32
+ BUILD:
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
diff --git a/src/minisketch/.gitignore b/src/minisketch/.gitignore
new file mode 100644
index 0000000000..f5be6fab88
--- /dev/null
+++ b/src/minisketch/.gitignore
@@ -0,0 +1,35 @@
+*.o
+*.lo
+*.la
+*.dll
+*.dylib
+*.so.*
+.*
+*.a
+*~
+
+Makefile
+Makefile.in
+aclocal.m4
+autom4te.cache/
+build-aux/config.guess
+build-aux/config.sub
+build-aux/depcomp
+build-aux/install-sh
+build-aux/ltmain.sh
+build-aux/m4/libtool.m4
+build-aux/m4/lt~obsolete.m4
+build-aux/m4/ltoptions.m4
+build-aux/m4/ltsugar.m4
+build-aux/m4/ltversion.m4
+build-aux/missing
+build-aux/compile
+build-aux/test-driver
+config.log
+config.status
+configure
+libtool
+stamp-h1
+
+test*
+bench
diff --git a/src/minisketch/LICENSE b/src/minisketch/LICENSE
new file mode 100644
index 0000000000..b25e3caee3
--- /dev/null
+++ b/src/minisketch/LICENSE
@@ -0,0 +1,21 @@
+MIT License
+
+Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
diff --git a/src/minisketch/Makefile.am b/src/minisketch/Makefile.am
new file mode 100644
index 0000000000..86a5c9dc90
--- /dev/null
+++ b/src/minisketch/Makefile.am
@@ -0,0 +1,92 @@
+ACLOCAL_AMFLAGS = -I build-aux/m4
+AM_CXXFLAGS = $(WARN_CXXFLAGS) $(NOWARN_CXXFLAGS)
+
+include sources.mk
+
+include_HEADERS = $(MINISKETCH_DIST_HEADERS_INT)
+noinst_HEADERS = $(MINISKETCH_LIB_HEADERS_INT) $(MINISKETCH_FIELD_GENERIC_HEADERS_INT) $(MINISKETCH_FIELD_CLMUL_HEADERS_INT)
+
+LIBMINISKETCH = libminisketch.la
+LIBMINISKETCH_FIELD_GENERIC = libminisketch_field_generic.la
+if ENABLE_CLMUL
+LIBMINISKETCH_FIELD_CLMUL = libminisketch_field_clmul.la
+endif
+if USE_TESTS
+LIBMINISKETCH_VERIFY=libminisketch_verify.la
+LIBMINISKETCH_FIELD_GENERIC_VERIFY=libminisketch_field_generic_verify.la
+if ENABLE_CLMUL
+LIBMINISKETCH_FIELD_CLMUL_VERIFY=libminisketch_field_clmul_verify.la
+endif
+endif
+
+lib_LTLIBRARIES =
+lib_LTLIBRARIES += $(LIBMINISKETCH)
+
+noinst_LTLIBRARIES =
+noinst_LTLIBRARIES += $(LIBMINISKETCH_FIELD_GENERIC)
+noinst_LTLIBRARIES += $(LIBMINISKETCH_FIELD_GENERIC_VERIFY)
+noinst_LTLIBRARIES += $(LIBMINISKETCH_FIELD_CLMUL)
+noinst_LTLIBRARIES += $(LIBMINISKETCH_FIELD_CLMUL_VERIFY)
+noinst_LTLIBRARIES += $(LIBMINISKETCH_VERIFY)
+
+# Release libs
+libminisketch_field_generic_la_SOURCES = $(MINISKETCH_FIELD_GENERIC_SOURCES_INT)
+libminisketch_field_generic_la_CPPFLAGS = $(AM_CPPFLAGS) $(RELEASE_DEFINES)
+
+libminisketch_field_clmul_la_SOURCES = $(MINISKETCH_FIELD_CLMUL_SOURCES_INT)
+libminisketch_field_clmul_la_CPPFLAGS = $(AM_CPPFLAGS) $(RELEASE_DEFINES)
+libminisketch_field_clmul_la_CXXFLAGS = $(AM_CXXFLAGS) $(CLMUL_CXXFLAGS)
+
+libminisketch_la_SOURCES = $(MINISKETCH_LIB_SOURCES_INT)
+libminisketch_la_CPPFLAGS = $(AM_CPPFLAGS) $(RELEASE_DEFINES)
+libminisketch_la_LIBADD = $(LIBMINISKETCH_FIELD_CLMUL) $(LIBMINISKETCH_FIELD_GENERIC)
+
+# Libs with extra verification checks
+libminisketch_field_generic_verify_la_SOURCES = $(MINISKETCH_FIELD_GENERIC_SOURCES_INT)
+libminisketch_field_generic_verify_la_CPPFLAGS = $(AM_CPPFLAGS) $(VERIFY_DEFINES)
+
+libminisketch_field_clmul_verify_la_SOURCES = $(MINISKETCH_FIELD_CLMUL_SOURCES_INT)
+libminisketch_field_clmul_verify_la_CPPFLAGS = $(AM_CPPFLAGS) $(VERIFY_DEFINES)
+libminisketch_field_clmul_verify_la_CXXFLAGS = $(AM_CXXFLAGS) $(CLMUL_CXXFLAGS)
+
+libminisketch_verify_la_SOURCES = $(MINISKETCH_LIB_SOURCES_INT)
+libminisketch_verify_la_CPPFLAGS = $(AM_CPPFLAGS) $(VERIFY_DEFINES)
+libminisketch_verify_la_LIBADD = $(LIBMINISKETCH_FIELD_CLMUL_VERIFY) $(LIBMINISKETCH_FIELD_GENERIC_VERIFY)
+
+noinst_PROGRAMS =
+if USE_BENCHMARK
+noinst_PROGRAMS += bench
+endif
+if USE_TESTS
+noinst_PROGRAMS += test test-verify
+TESTS = test test-verify
+endif
+
+bench_SOURCES = $(MINISKETCH_BENCH_SOURCES_INT)
+bench_CPPFLAGS = $(AM_CPPFLAGS) $(RELEASE_DEFINES)
+bench_LDADD = $(LIBMINISKETCH)
+bench_LDFLAGS = $(AM_LDFLAGS) $(LIBTOOL_APP_LDFLAGS)
+
+test_SOURCES = $(MINISKETCH_TEST_SOURCES_INT)
+test_CPPFLAGS = $(AM_CPPFLAGS) $(RELEASE_DEFINES)
+test_LDADD = $(LIBMINISKETCH)
+test_LDFLAGS = $(AM_LDFLAGS) $(LIBTOOL_APP_LDFLAGS)
+
+test_verify_SOURCES = $(MINISKETCH_TEST_SOURCES_INT)
+test_verify_CPPFLAGS = $(AM_CPPFLAGS) $(VERIFY_DEFINES)
+test_verify_LDADD = $(LIBMINISKETCH_VERIFY)
+test_verify_LDFLAGS = $(AM_LDFLAGS) $(LIBTOOL_APP_LDFLAGS)
+
+EXTRA_DIST=
+EXTRA_DIST += LICENSE
+EXTRA_DIST += README.md
+EXTRA_DIST += doc/example.c
+EXTRA_DIST += doc/gen_params.sage
+EXTRA_DIST += doc/math.md
+EXTRA_DIST += doc/moduli.md
+EXTRA_DIST += doc/plot_bits.png
+EXTRA_DIST += doc/plot_capacity.png
+EXTRA_DIST += doc/plot_diff.png
+EXTRA_DIST += doc/plot_size.png
+EXTRA_DIST += doc/protocoltips.md
+EXTRA_DIST += tests/pyminisketch.py
diff --git a/src/minisketch/README.md b/src/minisketch/README.md
new file mode 100644
index 0000000000..c0cfdc1623
--- /dev/null
+++ b/src/minisketch/README.md
@@ -0,0 +1,210 @@
+# Minisketch: a library for [BCH](https://en.wikipedia.org/wiki/BCH_code)-based set reconciliation
+<img align="right" src="doc/minisketch-vs.png" />
+
+`libminisketch` is an optimized standalone MIT-licensed library with C API for constructing and decoding *set sketches*, which can be used for compact set reconciliation and other applications.
+It is an implementation of the PinSketch<sup>[[1]](#myfootnote1)</sup> algorithm. An explanation of the algorithm can be found [here](doc/math.md).
+
+## Sketches for set reconciliation
+
+Sketches, as produced by this library, can be seen as "set checksums" with two peculiar properties:
+* Sketches have a predetermined capacity, and when the number of elements in the set is not higher than the capacity, `libminisketch` will always recover the entire set from the sketch. A sketch of *b*-bit elements with capacity *c* can be stored in *bc* bits.
+* The sketches of two sets can be combined by adding them (XOR) to obtain a sketch of the [symmetric difference](https://en.wikipedia.org/wiki/Symmetric_difference) between the two sets (*i.e.*, all elements that occur in one but not both input sets).
+
+This makes them appropriate for a very bandwidth-efficient set reconciliation protocol. If Alice and Bob each have a set of elements, and they suspect that the sets largely but not entirely overlap,
+they can use the following protocol to let both parties learn all the elements:
+* Alice and Bob both compute a sketch of their set elements.
+* Alice sends her sketch to Bob.
+* Bob combines the two sketches, and obtains a sketch of the symmetric difference.
+* Bob tries to recover the elements from the difference sketch.
+* Bob sends every element in the difference that he has to Alice.
+
+This will always succeed when the size of the difference (elements that Alice has but Bob doesn't plus elements that Bob has but Alice doesn't) does not exceed the
+capacity of the sketch that Alice sent. The interesting part is that this works regardless of the actual set sizes—only the difference matters.
+
+If the elements are large, it may be preferable to compute the sketches over *hashes* of the set elements. In that case an additional step is added to the protocol, where Bob also sends the hash
+of every element he does not have to Alice, who responds with the requested elements.
+
+The doc/ directory has additional [tips for designing reconciliation protocols using libminisketch](doc/protocoltips.md).
+
+## Evaluation
+
+<img src="doc/plot_capacity.png" width="432" height="324" /> <img src="doc/plot_diff.png" width="432" height="324" />
+
+<img src="doc/plot_size.png" width="432" height="324" /> <img src="doc/plot_bits.png" width="432" height="324" />
+
+**The first graph** above shows a benchmark of `libminisketch` against three other set reconciliation algorithms/implementations. The benchmarks were performed using a single core on a system with an Intel Core i7-7820HQ CPU with clock speed locked at 2.4 GHz. The diagram shows the time needed for merging of two sketches and decoding the result. The creation of a sketch on the same machine takes around 5 ns per capacity and per set element. The other implementations are:
+* [`pinsketch`](https://www.cs.bu.edu/~reyzin/code/fuzzy.html), the original PinSketch implementation.
+* [`cpisync`](https://github.com/trachten/cpisync), a software project which implements a number of set reconciliation algorithms and protocols. The included benchmark analyzes the non-probabilistic version of the original CPISync algorithm<sup>[[5]](#myfootnote5)</sup> only.
+* A high-performance custom IBLT implementation using 4 hash functions and 32-bit checksums.
+
+For the largest sizes currently of interest to the authors, such as a set of capacity 4096 with 1024 differences, `libminisketch` is forty-nine times faster than `pinsketch` and over eight thousand times faster than `cpisync`. `libminisketch` is fast enough on realistic set sizes for use on high-traffic network servers where computational resources are limited.
+
+Even where performance is latency-limited, small minisketches can be fast enough to improve performance. On the above i7-7820HQ, a set of 2500 30-bit entries with a difference of 20 elements can be communicated in less time with a minisketch than sending the raw set so long as the communications bandwidth is 1 gigabit per second or less; an eight-element difference can be communicated in better than one-fifth the time on a gigabit link.
+
+**The second graph** above shows the performance of the same algorithms on the same system, but this time keeping the capacity constant at 128, while varying the number of differences to reconcile between 1 and 128. It shows how `cpisync`'s reconciliation speed is mostly dependent on capacity, while `pinsketch`/`libminisketch` are more dependent on number of differences.
+
+**The third graph** above shows the size overhead of a typical IBLT scheme over the other algorithms (which are near-optimal bandwidth), for various levels of failure probability. IBLT takes tens of times the bandwidth of `libminisketch` sketches when the set difference size is small and the required failure rate is low.
+
+**The fourth graph** above shows the effect of the field size on speed in `libminisketch`. The three lines correspond to:
+* CLMUL 64-bit: Intel Core i7-7820HQ system at 2.4 GHz
+* Generic 64-bit: POWER9 CP9M06 system at 2.8 GHz (Talos II)
+* Generic 32-bit: Cortex-A53 at 1.2 GHz (Raspberry Pi 3B)
+
+It shows how CLMUL implementations are faster for certain fields (specifically, field sizes for which an irreducible polynomial of the form *x<sup>b</sup> + x + 1* over *GF(2)* exists, and to a lesser extent, fields which are a multiple of 8 bits). It also shows how (for now) a significant performance drop exists for fields larger than 32 bits on 32-bit platforms. Note that the three lines are not at the same scale (the Raspberry Pi 3B is around 10x slower for 32-bit fields than the Core i7; the POWER9 is around 1.3x slower).
+
+Below we compare the PinSketch algorithm (which `libminisketch` is an implementation of) with other set reconciliation algorithms:
+
+| Algorithm | Sketch size | Decode success | Decoding complexity | Difference type | Secure sketch |
+| ----------------------------------------------------- | ------------------------- | ---------------| ------------------- | --------------- | ------------- |
+| CPISync<sup>[[2]](#myfootnote2)</sup> | *(b+1)c* | Always | *O(n<sup>3</sup>)* | Both | Yes |
+| PinSketch<sup>[[1]](#myfootnote1)</sup> | *bc* | Always | *O(n<sup>2</sup>)* | Symmetric only | Yes |
+| IBLT<sup>[[6]](#myfootnote1)[[7]](#myfootnote1)</sup> | *&alpha;bc* (see graph 3) | Probabilistic | *O(n)* | Depends | No |
+
+* **Sketch size:** This column shows the size in bits of a sketch designed for reconciling *c* different *b*-bit elements. PinSketch and CPISync have a near-optimal<sup>[[11]](#myfootnote11)</sup> communication overhead, which in practice means the sketch size is very close (or equal to) *bc* bits. That is the same size as would be needed to transfer the elements of the difference naively (which is remarkable, as the difference isn't even known by the sender). For IBLT there is an overhead factor *&alpha;*, which depends on various design parameters, but is often between *2* and *10*.
+* **Decode success:** Whenever a sketch is designed with a capacity not lower than the actual difference size, CPISync and PinSketch guarantee that decoding of the difference will always succeed. IBLT always has a chance of failure, though that chance can be made arbitrarily small by increasing the communication overhead.
+* **Decoding complexity:** The space savings achieved by near-optimal algorithms come at a cost in performance, as their asymptotic decode complexity is quadratic or cubic, while IBLT is linear. This means that using near-optimal algorithms can be too expensive for applications where the difference is sufficiently large.
+* **Difference type:** PinSketch can only compute the symmetric difference from a merged sketch, while CPISync and IBLT can distinguish which side certain elements were missing on. When the decoder has access to one of the sets, this generally doesn't matter, as he can look up each of the elements in the symmetric difference with one of the sets.
+* **Secure sketch:** Whether the sketch satisfies the definition of a secure sketch<sup>[[1]](#myfootnote1)</sup>, which implies a minimal amount about a set can be extracted from a sketch by anyone who does not know most of the elements already. This makes the algorithm appropriate for applications like fingerprint authentication.
+
+## Building
+
+The build system is very rudimentary for now, and [improvements](https://github.com/sipa/minisketch/pulls) are welcome.
+
+The following may work and produce a `libminisketch.a` file you can link against:
+
+```bash
+git clone https://github.com/sipa/minisketch
+cd minisketch
+./autogen.sh && ./configure && make
+```
+
+## Usage
+
+In this section Alice and Bob are trying to find the difference between their sets.
+Alice has the set *[3000 ... 3009]*, while Bob has *[3002 ... 3011]*.
+
+First, Alice creates a sketch:
+
+```c
+#include <stdio.h>
+#include <assert.h>
+#include "../include/minisketch.h"
+int main(void) {
+
+ minisketch *sketch_a = minisketch_create(12, 0, 4);
+```
+
+The arguments are:
+* The field size *b*, which specifies the size of the elements being reconciled. With a field size *b*, the supported range of set elements is the integers from *1* to *2<sup>b</sub>* *- 1*, inclusive. Note that elements cannot be zero.
+* The implementation number. Implementation *0* is always supported, but more efficient algorithms may be available on some hardware. The serialized form of a sketch is independent of the implementation, so different implementations can interoperate.
+* The capacity *c*, which specifies how many differences the resulting sketch can reconcile.
+
+Then Alice adds her elements to her sketch. Note that adding the same element a second time removes it again, as sketches have set semantics, not multiset semantics.
+
+```c
+ for (int i = 3000; i < 3010; ++i) {
+ minisketch_add_uint64(sketch_a, i);
+ }
+```
+
+The next step is serializing the sketch into a byte array:
+
+```c
+ size_t sersize = minisketch_serialized_size(sketch_a);
+ assert(sersize == 12 * 4 / 8); // 4 12-bit values is 6 bytes.
+ unsigned char *buffer_a = malloc(sersize);
+ minisketch_serialize(sketch_a, buffer_a);
+ minisketch_destroy(sketch_a);
+```
+
+The contents of the buffer can then be submitted to Bob, who can create his own sketch:
+
+```c
+ minisketch *sketch_b = minisketch_create(12, 0, 4); // Bob's own sketch
+ for (int i = 3002; i < 3012; ++i) {
+ minisketch_add_uint64(sketch_b, i);
+ }
+```
+
+After Bob receives Alice's serialized sketch, he can reconcile:
+
+```c
+ sketch_a = minisketch_create(12, 0, 4); // Alice's sketch
+ minisketch_deserialize(sketch_a, buffer_a); // Load Alice's sketch
+ free(buffer_a);
+
+ // Merge the elements from sketch_a into sketch_b. The result is a sketch_b
+ // which contains all elements that occurred in Alice's or Bob's sets, but not
+ // in both.
+ minisketch_merge(sketch_b, sketch_a);
+
+ uint64_t differences[4];
+ ssize_t num_differences = minisketch_decode(sketch_b, 4, differences);
+ minisketch_destroy(sketch_a);
+ minisketch_destroy(sketch_b);
+ if (num_differences < 0) {
+ printf("More than 4 differences!\n");
+ } else {
+ ssize_t i;
+ for (i = 0; i < num_differences; ++i) {
+ printf("%u is in only one of the two sets\n", (unsigned)differences[i]);
+ }
+ }
+}
+```
+
+In this example Bob would see output such as:
+
+```
+$ gcc -std=c99 -Wall -Wextra -o example ./doc/example.c -Lsrc/ -lminisketch -lstdc++ && ./example
+3000 is in only one of the two sets
+3011 is in only one of the two sets
+3001 is in only one of the two sets
+3010 is in only one of the two sets
+```
+
+The order of the output is arbitrary and will differ on different runs of minisketch_decode().
+
+## Applications
+
+Communications efficient set reconciliation has been proposed to optimize Bitcoin transaction distribution<sup>[[8]](#myfootnote8)</sup>, which would allow Bitcoin nodes to have many more peers while reducing bandwidth usage. It could also be used for Bitcoin block distribution<sup>[[9]](#myfootnote9)</sup>, particularly for very low bandwidth links such as satellite. A similar approach (CPISync) is used by PGP SKS keyservers to synchronize their databases efficiently. Secure sketches can also be used as helper data to reliably extract a consistent cryptographic key from fuzzy biometric data while leaking minimal information<sup>[[1]](#myfootnote1)</sup>. They can be combined with [dcnets](https://en.wikipedia.org/wiki/Dining_cryptographers_problem) to create cryptographic multiparty anonymous communication<sup>[[10]](#myfootnote10)</sup>.
+
+## Implementation notes
+
+`libminisketch` is written in C++11, but has a [C API](include/minisketch.h) for compatibility reasons.
+
+Specific algorithms and optimizations used:
+* Finite field implementations:
+ * A generic implementation using C unsigned integer bit operations, and one using the [CLMUL instruction](https://en.wikipedia.org/wiki/CLMUL_instruction_set) where available. The latter has specializations for different classes of fields that permit optimizations (those with trinomial irreducible polynomials, and those whose size is a multiple of 8 bits).
+ * Precomputed tables for (repeated) squaring, and for solving equations of the form *x<sup>2</sup> + x = a*<sup>[[2]](#myfootnote2)</sup>.
+ * Inverses are computed using an [exponentiation ladder](https://en.wikipedia.org/w/index.php?title=Exponentiation_by_squaring&oldid=868883860)<sup>[[12]](#myfootnote12)</sup> on systems where multiplications are relatively fast, and using an [extended GCD algorithm](https://en.wikipedia.org/w/index.php?title=Extended_Euclidean_algorithm&oldid=865802511#Computing_multiplicative_inverses_in_modular_structures) otherwise.
+ * Repeated multiplications are accelerated using runtime precomputations on systems where multiplications are relatively slow.
+ * The serialization of field elements always represents them as bits that are coefficients of the lowest-weight (using lexicographic order as tie breaker) irreducible polynomials over *GF(2)* (see [this list](doc/moduli.md)), but for some implementations they are converted to a different representation internally.
+* The sketch algorithms are specialized for each separate field implementation, permitting inlining and specific optimizations while avoiding dynamic allocations and branching costs.
+* Decoding of sketches uses the [Berlekamp-Massey algorithm](https://en.wikipedia.org/w/index.php?title=Berlekamp%E2%80%93Massey_algorithm&oldid=870768940)<sup>[[3]](#myfootnote3)</sup> to compute the characteristic polynomial.
+* Finding the roots of polynomials is done using the Berlekamp trace algorithm with explicit formula for quadratic polynomials<sup>[[4]](#myfootnote4)</sup>. The root finding is randomized to prevent adversarial inputs that intentionally trigger worst-case decode time.
+* A (possibly) novel optimization combines a test for unique roots with the Berlekamp trace algorithm.
+
+Some improvements that are still TODO:
+* Explicit formulas for the roots of polynomials of higher degree than 2
+* Subquadratic multiplication and modulus algorithms
+* The [Half-GCD algorithm](http://mathworld.wolfram.com/Half-GCD.html) for faster GCDs
+* An interface for incremental decoding: most of the computation in most failed decodes can be reused when attempting to decode a longer sketch of the same set
+* Platform specific optimizations for platforms other than x86
+* Avoid using slow uint64_t for calculations on 32-bit hosts
+* Optional IBLT / Hybrid and set entropy coder under the same interface
+
+## References
+
+* <a name="myfootnote1">[1]</a> Dodis, Ostrovsky, Reyzin and Smith. *Fuzzy Extractors: How to Generate Strong Keys from Biometrics and Other Noisy Data.* SIAM Journal on Computing, volume 38, number 1, pages 97-139, 2008). [[URL]](http://eprint.iacr.org/2003/235) [[PDF]](https://eprint.iacr.org/2003/235.pdf)
+* <a name="myfootnote5">[5]</a> A. Trachtenberg, D. Starobinski and S. Agarwal. *Fast PDA synchronization using characteristic polynomial interpolation.* Proceedings, Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies, New York, NY, USA, 2002, pp. 1510-1519 vol.3. [[PDF]](https://pdfs.semanticscholar.org/43da/2070b6b7b2320a1fed2fd5e70e87332c9c5e.pdf)
+* <a name="myfootnote2">[2]</a> Cherly, Jørgen, Luis Gallardo, Leonid Vaserstein, and Ethel Wheland. *Solving quadratic equations over polynomial rings of characteristic two.* Publicacions Matemàtiques (1998): 131-142. [[PDF]](https://www.raco.cat/index.php/PublicacionsMatematiques/article/viewFile/37927/40412)
+* <a name="myfootnote3">[3]</a> J. Massey. *Shift-register synthesis and BCH decoding.* IEEE Transactions on Information Theory, vol. 15, no. 1, pp. 122-127, January 1969. [[PDF]](http://crypto.stanford.edu/~mironov/cs359/massey.pdf)
+* <a name="myfootnote4">[4]</a> Bhaskar Biswas, Vincent Herbert. *Efficient Root Finding of Polynomials over Fields of Characteristic 2.* 2009. hal-00626997. [[URL]](https://hal.archives-ouvertes.fr/hal-00626997) [[PDF]](https://hal.archives-ouvertes.fr/hal-00626997/document)
+* <a name="myfootnote6">[6]</a> Eppstein, David, Michael T. Goodrich, Frank Uyeda, and George Varghese. *What's the difference?: efficient set reconciliation without prior context.* ACM SIGCOMM Computer Communication Review, vol. 41, no. 4, pp. 218-229. ACM, 2011. [[PDF]](https://www.ics.uci.edu/~eppstein/pubs/EppGooUye-SIGCOMM-11.pdf)
+* <a name="myfootnote7">[7]</a> Goodrich, Michael T. and Michael Mitzenmacher. *Invertible bloom lookup tables.* 2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton) (2011): 792-799. [[PDF]](https://arxiv.org/pdf/1101.2245.pdf)
+* <a name="myfootnote8">[8]</a> Maxwell, Gregory F. *[Blocksonly mode BW savings, the limits of efficient block xfer, and better relay](https://bitcointalk.org/index.php?topic=1377345.0)* Bitcointalk 2016, *[Technical notes on mempool synchronizing relay](https://people.xiph.org/~greg/mempool_sync_relay.txt)* #bitcoin-wizards 2016.
+* <a name="myfootnote9">[9]</a> Maxwell, Gregory F. *[Block network coding](https://en.bitcoin.it/wiki/User:Gmaxwell/block_network_coding)* Bitcoin Wiki 2014, *[Technical notes on efficient block xfer](https://people.xiph.org/~greg/efficient.block.xfer.txt)* #bitcoin-wizards 2015.
+* <a name="myfootnote10">[10]</a> Ruffing, Tim, Moreno-Sanchez, Pedro, Aniket, Kate, *P2P Mixing and Unlinkable Bitcoin Transactions* NDSS Symposium 2017 [[URL]](https://eprint.iacr.org/2016/824) [[PDF]](https://eprint.iacr.org/2016/824.pdf)
+* <a name="myfootnote11">[11]</a> Y. Misky, A. Trachtenberg, R. Zippel. *Set Reconciliation with Nearly Optimal Communication Complexity.* Cornell University, 2000. [[URL]](https://ecommons.cornell.edu/handle/1813/5803) [[PDF]](https://ecommons.cornell.edu/bitstream/handle/1813/5803/2000-1813.pdf)
+* <a name="myfootnote12">[12]</a> Itoh, Toshiya, and Shigeo Tsujii. "A fast algorithm for computing multiplicative inverses in GF (2m) using normal bases." Information and computation 78, no. 3 (1988): 171-177. [[URL]](https://www.sciencedirect.com/science/article/pii/0890540188900247)
diff --git a/src/minisketch/autogen.sh b/src/minisketch/autogen.sh
new file mode 100755
index 0000000000..27417daf76
--- /dev/null
+++ b/src/minisketch/autogen.sh
@@ -0,0 +1,15 @@
+#!/bin/sh
+# Copyright (c) 2013-2016 The Bitcoin Core developers
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+set -e
+srcdir="$(dirname $0)"
+cd "$srcdir"
+if [ -z ${LIBTOOLIZE} ] && GLIBTOOLIZE="`which glibtoolize 2>/dev/null`"; then
+ LIBTOOLIZE="${GLIBTOOLIZE}"
+ export LIBTOOLIZE
+fi
+which autoreconf >/dev/null || \
+ (echo "configuration failed, please install autoconf first" && exit 1)
+autoreconf --install --force --warnings=all
diff --git a/src/minisketch/build-aux/m4/ax_check_compile_flag.m4 b/src/minisketch/build-aux/m4/ax_check_compile_flag.m4
new file mode 100644
index 0000000000..bd753b34d7
--- /dev/null
+++ b/src/minisketch/build-aux/m4/ax_check_compile_flag.m4
@@ -0,0 +1,53 @@
+# ===========================================================================
+# https://www.gnu.org/software/autoconf-archive/ax_check_compile_flag.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+# AX_CHECK_COMPILE_FLAG(FLAG, [ACTION-SUCCESS], [ACTION-FAILURE], [EXTRA-FLAGS], [INPUT])
+#
+# DESCRIPTION
+#
+# Check whether the given FLAG works with the current language's compiler
+# or gives an error. (Warnings, however, are ignored)
+#
+# ACTION-SUCCESS/ACTION-FAILURE are shell commands to execute on
+# success/failure.
+#
+# If EXTRA-FLAGS is defined, it is added to the current language's default
+# flags (e.g. CFLAGS) when the check is done. The check is thus made with
+# the flags: "CFLAGS EXTRA-FLAGS FLAG". This can for example be used to
+# force the compiler to issue an error when a bad flag is given.
+#
+# INPUT gives an alternative input source to AC_COMPILE_IFELSE.
+#
+# NOTE: Implementation based on AX_CFLAGS_GCC_OPTION. Please keep this
+# macro in sync with AX_CHECK_{PREPROC,LINK}_FLAG.
+#
+# LICENSE
+#
+# Copyright (c) 2008 Guido U. Draheim <guidod@gmx.de>
+# Copyright (c) 2011 Maarten Bosmans <mkbosmans@gmail.com>
+#
+# Copying and distribution of this file, with or without modification, are
+# permitted in any medium without royalty provided the copyright notice
+# and this notice are preserved. This file is offered as-is, without any
+# warranty.
+
+#serial 6
+
+AC_DEFUN([AX_CHECK_COMPILE_FLAG],
+[AC_PREREQ(2.64)dnl for _AC_LANG_PREFIX and AS_VAR_IF
+AS_VAR_PUSHDEF([CACHEVAR],[ax_cv_check_[]_AC_LANG_ABBREV[]flags_$4_$1])dnl
+AC_CACHE_CHECK([whether _AC_LANG compiler accepts $1], CACHEVAR, [
+ ax_check_save_flags=$[]_AC_LANG_PREFIX[]FLAGS
+ _AC_LANG_PREFIX[]FLAGS="$[]_AC_LANG_PREFIX[]FLAGS $4 $1"
+ AC_COMPILE_IFELSE([m4_default([$5],[AC_LANG_PROGRAM()])],
+ [AS_VAR_SET(CACHEVAR,[yes])],
+ [AS_VAR_SET(CACHEVAR,[no])])
+ _AC_LANG_PREFIX[]FLAGS=$ax_check_save_flags])
+AS_VAR_IF(CACHEVAR,yes,
+ [m4_default([$2], :)],
+ [m4_default([$3], :)])
+AS_VAR_POPDEF([CACHEVAR])dnl
+])dnl AX_CHECK_COMPILE_FLAGS
diff --git a/src/minisketch/build-aux/m4/ax_check_link_flag.m4 b/src/minisketch/build-aux/m4/ax_check_link_flag.m4
new file mode 100644
index 0000000000..03a30ce4c7
--- /dev/null
+++ b/src/minisketch/build-aux/m4/ax_check_link_flag.m4
@@ -0,0 +1,53 @@
+# ===========================================================================
+# https://www.gnu.org/software/autoconf-archive/ax_check_link_flag.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+# AX_CHECK_LINK_FLAG(FLAG, [ACTION-SUCCESS], [ACTION-FAILURE], [EXTRA-FLAGS], [INPUT])
+#
+# DESCRIPTION
+#
+# Check whether the given FLAG works with the linker or gives an error.
+# (Warnings, however, are ignored)
+#
+# ACTION-SUCCESS/ACTION-FAILURE are shell commands to execute on
+# success/failure.
+#
+# If EXTRA-FLAGS is defined, it is added to the linker's default flags
+# when the check is done. The check is thus made with the flags: "LDFLAGS
+# EXTRA-FLAGS FLAG". This can for example be used to force the linker to
+# issue an error when a bad flag is given.
+#
+# INPUT gives an alternative input source to AC_LINK_IFELSE.
+#
+# NOTE: Implementation based on AX_CFLAGS_GCC_OPTION. Please keep this
+# macro in sync with AX_CHECK_{PREPROC,COMPILE}_FLAG.
+#
+# LICENSE
+#
+# Copyright (c) 2008 Guido U. Draheim <guidod@gmx.de>
+# Copyright (c) 2011 Maarten Bosmans <mkbosmans@gmail.com>
+#
+# Copying and distribution of this file, with or without modification, are
+# permitted in any medium without royalty provided the copyright notice
+# and this notice are preserved. This file is offered as-is, without any
+# warranty.
+
+#serial 6
+
+AC_DEFUN([AX_CHECK_LINK_FLAG],
+[AC_PREREQ(2.64)dnl for _AC_LANG_PREFIX and AS_VAR_IF
+AS_VAR_PUSHDEF([CACHEVAR],[ax_cv_check_ldflags_$4_$1])dnl
+AC_CACHE_CHECK([whether the linker accepts $1], CACHEVAR, [
+ ax_check_save_flags=$LDFLAGS
+ LDFLAGS="$LDFLAGS $4 $1"
+ AC_LINK_IFELSE([m4_default([$5],[AC_LANG_PROGRAM()])],
+ [AS_VAR_SET(CACHEVAR,[yes])],
+ [AS_VAR_SET(CACHEVAR,[no])])
+ LDFLAGS=$ax_check_save_flags])
+AS_VAR_IF(CACHEVAR,yes,
+ [m4_default([$2], :)],
+ [m4_default([$3], :)])
+AS_VAR_POPDEF([CACHEVAR])dnl
+])dnl AX_CHECK_LINK_FLAGS
diff --git a/src/minisketch/build-aux/m4/ax_check_preproc_flag.m4 b/src/minisketch/build-aux/m4/ax_check_preproc_flag.m4
new file mode 100644
index 0000000000..e43560fbd3
--- /dev/null
+++ b/src/minisketch/build-aux/m4/ax_check_preproc_flag.m4
@@ -0,0 +1,53 @@
+# ===========================================================================
+# https://www.gnu.org/software/autoconf-archive/ax_check_preproc_flag.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+# AX_CHECK_PREPROC_FLAG(FLAG, [ACTION-SUCCESS], [ACTION-FAILURE], [EXTRA-FLAGS], [INPUT])
+#
+# DESCRIPTION
+#
+# Check whether the given FLAG works with the current language's
+# preprocessor or gives an error. (Warnings, however, are ignored)
+#
+# ACTION-SUCCESS/ACTION-FAILURE are shell commands to execute on
+# success/failure.
+#
+# If EXTRA-FLAGS is defined, it is added to the preprocessor's default
+# flags when the check is done. The check is thus made with the flags:
+# "CPPFLAGS EXTRA-FLAGS FLAG". This can for example be used to force the
+# preprocessor to issue an error when a bad flag is given.
+#
+# INPUT gives an alternative input source to AC_PREPROC_IFELSE.
+#
+# NOTE: Implementation based on AX_CFLAGS_GCC_OPTION. Please keep this
+# macro in sync with AX_CHECK_{COMPILE,LINK}_FLAG.
+#
+# LICENSE
+#
+# Copyright (c) 2008 Guido U. Draheim <guidod@gmx.de>
+# Copyright (c) 2011 Maarten Bosmans <mkbosmans@gmail.com>
+#
+# Copying and distribution of this file, with or without modification, are
+# permitted in any medium without royalty provided the copyright notice
+# and this notice are preserved. This file is offered as-is, without any
+# warranty.
+
+#serial 6
+
+AC_DEFUN([AX_CHECK_PREPROC_FLAG],
+[AC_PREREQ(2.64)dnl for _AC_LANG_PREFIX and AS_VAR_IF
+AS_VAR_PUSHDEF([CACHEVAR],[ax_cv_check_[]_AC_LANG_ABBREV[]cppflags_$4_$1])dnl
+AC_CACHE_CHECK([whether _AC_LANG preprocessor accepts $1], CACHEVAR, [
+ ax_check_save_flags=$CPPFLAGS
+ CPPFLAGS="$CPPFLAGS $4 $1"
+ AC_PREPROC_IFELSE([m4_default([$5],[AC_LANG_PROGRAM()])],
+ [AS_VAR_SET(CACHEVAR,[yes])],
+ [AS_VAR_SET(CACHEVAR,[no])])
+ CPPFLAGS=$ax_check_save_flags])
+AS_VAR_IF(CACHEVAR,yes,
+ [m4_default([$2], :)],
+ [m4_default([$3], :)])
+AS_VAR_POPDEF([CACHEVAR])dnl
+])dnl AX_CHECK_PREPROC_FLAGS
diff --git a/src/minisketch/build-aux/m4/ax_cxx_compile_stdcxx.m4 b/src/minisketch/build-aux/m4/ax_cxx_compile_stdcxx.m4
new file mode 100644
index 0000000000..f7e5137003
--- /dev/null
+++ b/src/minisketch/build-aux/m4/ax_cxx_compile_stdcxx.m4
@@ -0,0 +1,962 @@
+# ===========================================================================
+# https://www.gnu.org/software/autoconf-archive/ax_cxx_compile_stdcxx.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+# AX_CXX_COMPILE_STDCXX(VERSION, [ext|noext], [mandatory|optional])
+#
+# DESCRIPTION
+#
+# Check for baseline language coverage in the compiler for the specified
+# version of the C++ standard. If necessary, add switches to CXX and
+# CXXCPP to enable support. VERSION may be '11' (for the C++11 standard)
+# or '14' (for the C++14 standard).
+#
+# The second argument, if specified, indicates whether you insist on an
+# extended mode (e.g. -std=gnu++11) or a strict conformance mode (e.g.
+# -std=c++11). If neither is specified, you get whatever works, with
+# preference for no added switch, and then for an extended mode.
+#
+# The third argument, if specified 'mandatory' or if left unspecified,
+# indicates that baseline support for the specified C++ standard is
+# required and that the macro should error out if no mode with that
+# support is found. If specified 'optional', then configuration proceeds
+# regardless, after defining HAVE_CXX${VERSION} if and only if a
+# supporting mode is found.
+#
+# LICENSE
+#
+# Copyright (c) 2008 Benjamin Kosnik <bkoz@redhat.com>
+# Copyright (c) 2012 Zack Weinberg <zackw@panix.com>
+# Copyright (c) 2013 Roy Stogner <roystgnr@ices.utexas.edu>
+# Copyright (c) 2014, 2015 Google Inc.; contributed by Alexey Sokolov <sokolov@google.com>
+# Copyright (c) 2015 Paul Norman <penorman@mac.com>
+# Copyright (c) 2015 Moritz Klammler <moritz@klammler.eu>
+# Copyright (c) 2016, 2018 Krzesimir Nowak <qdlacz@gmail.com>
+# Copyright (c) 2019 Enji Cooper <yaneurabeya@gmail.com>
+# Copyright (c) 2020 Jason Merrill <jason@redhat.com>
+#
+# Copying and distribution of this file, with or without modification, are
+# permitted in any medium without royalty provided the copyright notice
+# and this notice are preserved. This file is offered as-is, without any
+# warranty.
+
+#serial 12
+
+dnl This macro is based on the code from the AX_CXX_COMPILE_STDCXX_11 macro
+dnl (serial version number 13).
+
+AC_DEFUN([AX_CXX_COMPILE_STDCXX], [dnl
+ m4_if([$1], [11], [ax_cxx_compile_alternatives="11 0x"],
+ [$1], [14], [ax_cxx_compile_alternatives="14 1y"],
+ [$1], [17], [ax_cxx_compile_alternatives="17 1z"],
+ [m4_fatal([invalid first argument `$1' to AX_CXX_COMPILE_STDCXX])])dnl
+ m4_if([$2], [], [],
+ [$2], [ext], [],
+ [$2], [noext], [],
+ [m4_fatal([invalid second argument `$2' to AX_CXX_COMPILE_STDCXX])])dnl
+ m4_if([$3], [], [ax_cxx_compile_cxx$1_required=true],
+ [$3], [mandatory], [ax_cxx_compile_cxx$1_required=true],
+ [$3], [optional], [ax_cxx_compile_cxx$1_required=false],
+ [m4_fatal([invalid third argument `$3' to AX_CXX_COMPILE_STDCXX])])
+ AC_LANG_PUSH([C++])dnl
+ ac_success=no
+
+ m4_if([$2], [], [dnl
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features by default,
+ ax_cv_cxx_compile_cxx$1,
+ [AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [ax_cv_cxx_compile_cxx$1=yes],
+ [ax_cv_cxx_compile_cxx$1=no])])
+ if test x$ax_cv_cxx_compile_cxx$1 = xyes; then
+ ac_success=yes
+ fi])
+
+ m4_if([$2], [noext], [], [dnl
+ if test x$ac_success = xno; then
+ for alternative in ${ax_cxx_compile_alternatives}; do
+ switch="-std=gnu++${alternative}"
+ cachevar=AS_TR_SH([ax_cv_cxx_compile_cxx$1_$switch])
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features with $switch,
+ $cachevar,
+ [ac_save_CXX="$CXX"
+ CXX="$CXX $switch"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [eval $cachevar=yes],
+ [eval $cachevar=no])
+ CXX="$ac_save_CXX"])
+ if eval test x\$$cachevar = xyes; then
+ CXX="$CXX $switch"
+ if test -n "$CXXCPP" ; then
+ CXXCPP="$CXXCPP $switch"
+ fi
+ ac_success=yes
+ break
+ fi
+ done
+ fi])
+
+ m4_if([$2], [ext], [], [dnl
+ if test x$ac_success = xno; then
+ dnl HP's aCC needs +std=c++11 according to:
+ dnl http://h21007.www2.hp.com/portal/download/files/unprot/aCxx/PDF_Release_Notes/769149-001.pdf
+ dnl Cray's crayCC needs "-h std=c++11"
+ for alternative in ${ax_cxx_compile_alternatives}; do
+ for switch in -std=c++${alternative} +std=c++${alternative} "-h std=c++${alternative}"; do
+ cachevar=AS_TR_SH([ax_cv_cxx_compile_cxx$1_$switch])
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features with $switch,
+ $cachevar,
+ [ac_save_CXX="$CXX"
+ CXX="$CXX $switch"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [eval $cachevar=yes],
+ [eval $cachevar=no])
+ CXX="$ac_save_CXX"])
+ if eval test x\$$cachevar = xyes; then
+ CXX="$CXX $switch"
+ if test -n "$CXXCPP" ; then
+ CXXCPP="$CXXCPP $switch"
+ fi
+ ac_success=yes
+ break
+ fi
+ done
+ if test x$ac_success = xyes; then
+ break
+ fi
+ done
+ fi])
+ AC_LANG_POP([C++])
+ if test x$ax_cxx_compile_cxx$1_required = xtrue; then
+ if test x$ac_success = xno; then
+ AC_MSG_ERROR([*** A compiler with support for C++$1 language features is required.])
+ fi
+ fi
+ if test x$ac_success = xno; then
+ HAVE_CXX$1=0
+ AC_MSG_NOTICE([No compiler with C++$1 support was found])
+ else
+ HAVE_CXX$1=1
+ AC_DEFINE(HAVE_CXX$1,1,
+ [define if the compiler supports basic C++$1 syntax])
+ fi
+ AC_SUBST(HAVE_CXX$1)
+])
+
+
+dnl Test body for checking C++11 support
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_11],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+)
+
+
+dnl Test body for checking C++14 support
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_14],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_14
+)
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_17],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_14
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_17
+)
+
+dnl Tests for new features in C++11
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_11], [[
+
+// If the compiler admits that it is not ready for C++11, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201103L
+
+#error "This is not a C++11 compiler"
+
+#else
+
+namespace cxx11
+{
+
+ namespace test_static_assert
+ {
+
+ template <typename T>
+ struct check
+ {
+ static_assert(sizeof(int) <= sizeof(T), "not big enough");
+ };
+
+ }
+
+ namespace test_final_override
+ {
+
+ struct Base
+ {
+ virtual ~Base() {}
+ virtual void f() {}
+ };
+
+ struct Derived : public Base
+ {
+ virtual ~Derived() override {}
+ virtual void f() override {}
+ };
+
+ }
+
+ namespace test_double_right_angle_brackets
+ {
+
+ template < typename T >
+ struct check {};
+
+ typedef check<void> single_type;
+ typedef check<check<void>> double_type;
+ typedef check<check<check<void>>> triple_type;
+ typedef check<check<check<check<void>>>> quadruple_type;
+
+ }
+
+ namespace test_decltype
+ {
+
+ int
+ f()
+ {
+ int a = 1;
+ decltype(a) b = 2;
+ return a + b;
+ }
+
+ }
+
+ namespace test_type_deduction
+ {
+
+ template < typename T1, typename T2 >
+ struct is_same
+ {
+ static const bool value = false;
+ };
+
+ template < typename T >
+ struct is_same<T, T>
+ {
+ static const bool value = true;
+ };
+
+ template < typename T1, typename T2 >
+ auto
+ add(T1 a1, T2 a2) -> decltype(a1 + a2)
+ {
+ return a1 + a2;
+ }
+
+ int
+ test(const int c, volatile int v)
+ {
+ static_assert(is_same<int, decltype(0)>::value == true, "");
+ static_assert(is_same<int, decltype(c)>::value == false, "");
+ static_assert(is_same<int, decltype(v)>::value == false, "");
+ auto ac = c;
+ auto av = v;
+ auto sumi = ac + av + 'x';
+ auto sumf = ac + av + 1.0;
+ static_assert(is_same<int, decltype(ac)>::value == true, "");
+ static_assert(is_same<int, decltype(av)>::value == true, "");
+ static_assert(is_same<int, decltype(sumi)>::value == true, "");
+ static_assert(is_same<int, decltype(sumf)>::value == false, "");
+ static_assert(is_same<int, decltype(add(c, v))>::value == true, "");
+ return (sumf > 0.0) ? sumi : add(c, v);
+ }
+
+ }
+
+ namespace test_noexcept
+ {
+
+ int f() { return 0; }
+ int g() noexcept { return 0; }
+
+ static_assert(noexcept(f()) == false, "");
+ static_assert(noexcept(g()) == true, "");
+
+ }
+
+ namespace test_constexpr
+ {
+
+ template < typename CharT >
+ unsigned long constexpr
+ strlen_c_r(const CharT *const s, const unsigned long acc) noexcept
+ {
+ return *s ? strlen_c_r(s + 1, acc + 1) : acc;
+ }
+
+ template < typename CharT >
+ unsigned long constexpr
+ strlen_c(const CharT *const s) noexcept
+ {
+ return strlen_c_r(s, 0UL);
+ }
+
+ static_assert(strlen_c("") == 0UL, "");
+ static_assert(strlen_c("1") == 1UL, "");
+ static_assert(strlen_c("example") == 7UL, "");
+ static_assert(strlen_c("another\0example") == 7UL, "");
+
+ }
+
+ namespace test_rvalue_references
+ {
+
+ template < int N >
+ struct answer
+ {
+ static constexpr int value = N;
+ };
+
+ answer<1> f(int&) { return answer<1>(); }
+ answer<2> f(const int&) { return answer<2>(); }
+ answer<3> f(int&&) { return answer<3>(); }
+
+ void
+ test()
+ {
+ int i = 0;
+ const int c = 0;
+ static_assert(decltype(f(i))::value == 1, "");
+ static_assert(decltype(f(c))::value == 2, "");
+ static_assert(decltype(f(0))::value == 3, "");
+ }
+
+ }
+
+ namespace test_uniform_initialization
+ {
+
+ struct test
+ {
+ static const int zero {};
+ static const int one {1};
+ };
+
+ static_assert(test::zero == 0, "");
+ static_assert(test::one == 1, "");
+
+ }
+
+ namespace test_lambdas
+ {
+
+ void
+ test1()
+ {
+ auto lambda1 = [](){};
+ auto lambda2 = lambda1;
+ lambda1();
+ lambda2();
+ }
+
+ int
+ test2()
+ {
+ auto a = [](int i, int j){ return i + j; }(1, 2);
+ auto b = []() -> int { return '0'; }();
+ auto c = [=](){ return a + b; }();
+ auto d = [&](){ return c; }();
+ auto e = [a, &b](int x) mutable {
+ const auto identity = [](int y){ return y; };
+ for (auto i = 0; i < a; ++i)
+ a += b--;
+ return x + identity(a + b);
+ }(0);
+ return a + b + c + d + e;
+ }
+
+ int
+ test3()
+ {
+ const auto nullary = [](){ return 0; };
+ const auto unary = [](int x){ return x; };
+ using nullary_t = decltype(nullary);
+ using unary_t = decltype(unary);
+ const auto higher1st = [](nullary_t f){ return f(); };
+ const auto higher2nd = [unary](nullary_t f1){
+ return [unary, f1](unary_t f2){ return f2(unary(f1())); };
+ };
+ return higher1st(nullary) + higher2nd(nullary)(unary);
+ }
+
+ }
+
+ namespace test_variadic_templates
+ {
+
+ template <int...>
+ struct sum;
+
+ template <int N0, int... N1toN>
+ struct sum<N0, N1toN...>
+ {
+ static constexpr auto value = N0 + sum<N1toN...>::value;
+ };
+
+ template <>
+ struct sum<>
+ {
+ static constexpr auto value = 0;
+ };
+
+ static_assert(sum<>::value == 0, "");
+ static_assert(sum<1>::value == 1, "");
+ static_assert(sum<23>::value == 23, "");
+ static_assert(sum<1, 2>::value == 3, "");
+ static_assert(sum<5, 5, 11>::value == 21, "");
+ static_assert(sum<2, 3, 5, 7, 11, 13>::value == 41, "");
+
+ }
+
+ // http://stackoverflow.com/questions/13728184/template-aliases-and-sfinae
+ // Clang 3.1 fails with headers of libstd++ 4.8.3 when using std::function
+ // because of this.
+ namespace test_template_alias_sfinae
+ {
+
+ struct foo {};
+
+ template<typename T>
+ using member = typename T::member_type;
+
+ template<typename T>
+ void func(...) {}
+
+ template<typename T>
+ void func(member<T>*) {}
+
+ void test();
+
+ void test() { func<foo>(0); }
+
+ }
+
+} // namespace cxx11
+
+#endif // __cplusplus >= 201103L
+
+]])
+
+
+dnl Tests for new features in C++14
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_14], [[
+
+// If the compiler admits that it is not ready for C++14, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201402L
+
+#error "This is not a C++14 compiler"
+
+#else
+
+namespace cxx14
+{
+
+ namespace test_polymorphic_lambdas
+ {
+
+ int
+ test()
+ {
+ const auto lambda = [](auto&&... args){
+ const auto istiny = [](auto x){
+ return (sizeof(x) == 1UL) ? 1 : 0;
+ };
+ const int aretiny[] = { istiny(args)... };
+ return aretiny[0];
+ };
+ return lambda(1, 1L, 1.0f, '1');
+ }
+
+ }
+
+ namespace test_binary_literals
+ {
+
+ constexpr auto ivii = 0b0000000000101010;
+ static_assert(ivii == 42, "wrong value");
+
+ }
+
+ namespace test_generalized_constexpr
+ {
+
+ template < typename CharT >
+ constexpr unsigned long
+ strlen_c(const CharT *const s) noexcept
+ {
+ auto length = 0UL;
+ for (auto p = s; *p; ++p)
+ ++length;
+ return length;
+ }
+
+ static_assert(strlen_c("") == 0UL, "");
+ static_assert(strlen_c("x") == 1UL, "");
+ static_assert(strlen_c("test") == 4UL, "");
+ static_assert(strlen_c("another\0test") == 7UL, "");
+
+ }
+
+ namespace test_lambda_init_capture
+ {
+
+ int
+ test()
+ {
+ auto x = 0;
+ const auto lambda1 = [a = x](int b){ return a + b; };
+ const auto lambda2 = [a = lambda1(x)](){ return a; };
+ return lambda2();
+ }
+
+ }
+
+ namespace test_digit_separators
+ {
+
+ constexpr auto ten_million = 100'000'000;
+ static_assert(ten_million == 100000000, "");
+
+ }
+
+ namespace test_return_type_deduction
+ {
+
+ auto f(int& x) { return x; }
+ decltype(auto) g(int& x) { return x; }
+
+ template < typename T1, typename T2 >
+ struct is_same
+ {
+ static constexpr auto value = false;
+ };
+
+ template < typename T >
+ struct is_same<T, T>
+ {
+ static constexpr auto value = true;
+ };
+
+ int
+ test()
+ {
+ auto x = 0;
+ static_assert(is_same<int, decltype(f(x))>::value, "");
+ static_assert(is_same<int&, decltype(g(x))>::value, "");
+ return x;
+ }
+
+ }
+
+} // namespace cxx14
+
+#endif // __cplusplus >= 201402L
+
+]])
+
+
+dnl Tests for new features in C++17
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_17], [[
+
+// If the compiler admits that it is not ready for C++17, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201703L
+
+#error "This is not a C++17 compiler"
+
+#else
+
+#include <initializer_list>
+#include <utility>
+#include <type_traits>
+
+namespace cxx17
+{
+
+ namespace test_constexpr_lambdas
+ {
+
+ constexpr int foo = [](){return 42;}();
+
+ }
+
+ namespace test::nested_namespace::definitions
+ {
+
+ }
+
+ namespace test_fold_expression
+ {
+
+ template<typename... Args>
+ int multiply(Args... args)
+ {
+ return (args * ... * 1);
+ }
+
+ template<typename... Args>
+ bool all(Args... args)
+ {
+ return (args && ...);
+ }
+
+ }
+
+ namespace test_extended_static_assert
+ {
+
+ static_assert (true);
+
+ }
+
+ namespace test_auto_brace_init_list
+ {
+
+ auto foo = {5};
+ auto bar {5};
+
+ static_assert(std::is_same<std::initializer_list<int>, decltype(foo)>::value);
+ static_assert(std::is_same<int, decltype(bar)>::value);
+ }
+
+ namespace test_typename_in_template_template_parameter
+ {
+
+ template<template<typename> typename X> struct D;
+
+ }
+
+ namespace test_fallthrough_nodiscard_maybe_unused_attributes
+ {
+
+ int f1()
+ {
+ return 42;
+ }
+
+ [[nodiscard]] int f2()
+ {
+ [[maybe_unused]] auto unused = f1();
+
+ switch (f1())
+ {
+ case 17:
+ f1();
+ [[fallthrough]];
+ case 42:
+ f1();
+ }
+ return f1();
+ }
+
+ }
+
+ namespace test_extended_aggregate_initialization
+ {
+
+ struct base1
+ {
+ int b1, b2 = 42;
+ };
+
+ struct base2
+ {
+ base2() {
+ b3 = 42;
+ }
+ int b3;
+ };
+
+ struct derived : base1, base2
+ {
+ int d;
+ };
+
+ derived d1 {{1, 2}, {}, 4}; // full initialization
+ derived d2 {{}, {}, 4}; // value-initialized bases
+
+ }
+
+ namespace test_general_range_based_for_loop
+ {
+
+ struct iter
+ {
+ int i;
+
+ int& operator* ()
+ {
+ return i;
+ }
+
+ const int& operator* () const
+ {
+ return i;
+ }
+
+ iter& operator++()
+ {
+ ++i;
+ return *this;
+ }
+ };
+
+ struct sentinel
+ {
+ int i;
+ };
+
+ bool operator== (const iter& i, const sentinel& s)
+ {
+ return i.i == s.i;
+ }
+
+ bool operator!= (const iter& i, const sentinel& s)
+ {
+ return !(i == s);
+ }
+
+ struct range
+ {
+ iter begin() const
+ {
+ return {0};
+ }
+
+ sentinel end() const
+ {
+ return {5};
+ }
+ };
+
+ void f()
+ {
+ range r {};
+
+ for (auto i : r)
+ {
+ [[maybe_unused]] auto v = i;
+ }
+ }
+
+ }
+
+ namespace test_lambda_capture_asterisk_this_by_value
+ {
+
+ struct t
+ {
+ int i;
+ int foo()
+ {
+ return [*this]()
+ {
+ return i;
+ }();
+ }
+ };
+
+ }
+
+ namespace test_enum_class_construction
+ {
+
+ enum class byte : unsigned char
+ {};
+
+ byte foo {42};
+
+ }
+
+ namespace test_constexpr_if
+ {
+
+ template <bool cond>
+ int f ()
+ {
+ if constexpr(cond)
+ {
+ return 13;
+ }
+ else
+ {
+ return 42;
+ }
+ }
+
+ }
+
+ namespace test_selection_statement_with_initializer
+ {
+
+ int f()
+ {
+ return 13;
+ }
+
+ int f2()
+ {
+ if (auto i = f(); i > 0)
+ {
+ return 3;
+ }
+
+ switch (auto i = f(); i + 4)
+ {
+ case 17:
+ return 2;
+
+ default:
+ return 1;
+ }
+ }
+
+ }
+
+ namespace test_template_argument_deduction_for_class_templates
+ {
+
+ template <typename T1, typename T2>
+ struct pair
+ {
+ pair (T1 p1, T2 p2)
+ : m1 {p1},
+ m2 {p2}
+ {}
+
+ T1 m1;
+ T2 m2;
+ };
+
+ void f()
+ {
+ [[maybe_unused]] auto p = pair{13, 42u};
+ }
+
+ }
+
+ namespace test_non_type_auto_template_parameters
+ {
+
+ template <auto n>
+ struct B
+ {};
+
+ B<5> b1;
+ B<'a'> b2;
+
+ }
+
+ namespace test_structured_bindings
+ {
+
+ int arr[2] = { 1, 2 };
+ std::pair<int, int> pr = { 1, 2 };
+
+ auto f1() -> int(&)[2]
+ {
+ return arr;
+ }
+
+ auto f2() -> std::pair<int, int>&
+ {
+ return pr;
+ }
+
+ struct S
+ {
+ int x1 : 2;
+ volatile double y1;
+ };
+
+ S f3()
+ {
+ return {};
+ }
+
+ auto [ x1, y1 ] = f1();
+ auto& [ xr1, yr1 ] = f1();
+ auto [ x2, y2 ] = f2();
+ auto& [ xr2, yr2 ] = f2();
+ const auto [ x3, y3 ] = f3();
+
+ }
+
+ namespace test_exception_spec_type_system
+ {
+
+ struct Good {};
+ struct Bad {};
+
+ void g1() noexcept;
+ void g2();
+
+ template<typename T>
+ Bad
+ f(T*, T*);
+
+ template<typename T1, typename T2>
+ Good
+ f(T1*, T2*);
+
+ static_assert (std::is_same_v<Good, decltype(f(g1, g2))>);
+
+ }
+
+ namespace test_inline_variables
+ {
+
+ template<class T> void f(T)
+ {}
+
+ template<class T> inline T g(T)
+ {
+ return T{};
+ }
+
+ template<> inline void f<>(int)
+ {}
+
+ template<> int g<>(int)
+ {
+ return 5;
+ }
+
+ }
+
+} // namespace cxx17
+
+#endif // __cplusplus < 201703L
+
+]])
diff --git a/src/minisketch/ci/cirrus.sh b/src/minisketch/ci/cirrus.sh
new file mode 100755
index 0000000000..02f737ca7f
--- /dev/null
+++ b/src/minisketch/ci/cirrus.sh
@@ -0,0 +1,41 @@
+#!/bin/sh
+
+set -e
+set -x
+
+export LC_ALL=C
+
+env >> test_env.log
+
+$CC -v || true
+valgrind --version || true
+
+./autogen.sh
+
+FIELDS=
+if [ -n "$ENABLE_FIELDS" ]; then
+ FIELDS="--enable-fields=$ENABLE_FIELDS"
+fi
+./configure --host="$HOST" --enable-benchmark="$BENCH" $FIELDS
+
+# We have set "-j<n>" in MAKEFLAGS.
+make
+
+# Print information about binaries so that we can see that the architecture is correct
+file test* || true
+file bench* || true
+file .libs/* || true
+
+if [ -n "$BUILD" ]
+then
+ make "$BUILD"
+fi
+
+if [ -n "$EXEC_CMD" ]; then
+ $EXEC_CMD ./test $TESTRUNS
+ $EXEC_CMD ./test-verify $TESTRUNS
+fi
+
+if [ "$BENCH" = "yes" ]; then
+ $EXEC_CMD ./bench
+fi
diff --git a/src/minisketch/ci/linux-debian.Dockerfile b/src/minisketch/ci/linux-debian.Dockerfile
new file mode 100644
index 0000000000..63e5412ee7
--- /dev/null
+++ b/src/minisketch/ci/linux-debian.Dockerfile
@@ -0,0 +1,17 @@
+FROM debian:stable
+
+RUN dpkg --add-architecture i386
+RUN dpkg --add-architecture s390x
+RUN apt-get update
+
+# dkpg-dev: to make pkg-config work in cross-builds
+RUN apt-get install --no-install-recommends --no-upgrade -y \
+ git ca-certificates \
+ make automake libtool pkg-config dpkg-dev valgrind qemu-user \
+ gcc g++ clang libc6-dbg \
+ gcc-i686-linux-gnu g++-i686-linux-gnu libc6-dev-i386-cross libc6-dbg:i386 \
+ g++-s390x-linux-gnu gcc-s390x-linux-gnu libc6-dev-s390x-cross libc6-dbg:s390x \
+ wine g++-mingw-w64-x86-64
+
+# Run a dummy command in wine to make it set up configuration
+RUN wine true || true
diff --git a/src/minisketch/configure.ac b/src/minisketch/configure.ac
new file mode 100644
index 0000000000..9dc66e7fd2
--- /dev/null
+++ b/src/minisketch/configure.ac
@@ -0,0 +1,162 @@
+AC_INIT([minisketch], [0.0.1], [http://github.com/sipa/minisketch/])
+
+m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])])
+
+AC_PREREQ(2.60)
+AC_CONFIG_SRCDIR([src/minisketch.cpp])
+AC_CONFIG_AUX_DIR([build-aux])
+AC_CONFIG_MACRO_DIR([build-aux/m4])
+AM_INIT_AUTOMAKE([subdir-objects foreign])
+
+LT_INIT
+LT_LANG([C++])
+AC_LANG([C++])
+
+AC_PATH_PROG(CCACHE,ccache)
+
+AC_ARG_ENABLE([ccache],
+ [AS_HELP_STRING([--disable-ccache],
+ [do not use ccache for building (default is to use if found)])],
+ [use_ccache=$enableval],
+ [use_ccache=auto])
+
+AC_ARG_ENABLE(tests,
+ AS_HELP_STRING([--enable-tests],[compile tests (default is yes)]),
+ [use_tests=$enableval],
+ [use_tests=yes])
+
+AC_ARG_ENABLE(benchmark,
+ AS_HELP_STRING([--enable-benchmark],[compile benchmark (default is no)]),
+ [use_benchmark=$enableval],
+ [use_benchmark=no])
+
+m4_define([SUPPORTED_FIELDS], [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64])
+
+AC_MSG_CHECKING([which field sizes to build])
+AC_ARG_ENABLE([fields], AS_HELP_STRING([--enable-fields=LIST], [Comma-separated list of field sizes to build. Default=all. Available sizes:] m4_translit(m4_defn([SUPPORTED_FIELDS]), [,], [ ])), [], [enable_fields=SUPPORTED_FIELDS])
+have_disabled_fields=no
+have_enabled_fields=no
+m4_foreach([FIELD], [SUPPORTED_FIELDS], [
+ case ",$enable_fields," in
+ *,FIELD,*)
+ have_enabled_fields=yes
+ ;;
+ *)
+ AC_DEFINE(DISABLE_FIELD_[]FIELD, [1],
+ [Define to 1 to remove support for field size] FIELD [.])
+ have_disabled_fields=yes
+ ;;
+ esac
+])
+AC_MSG_RESULT([$enable_fields])
+if test "x$have_enabled_fields" = xno; then
+ AC_MSG_ERROR([No field sizes are enabled.])
+fi
+
+AX_CHECK_COMPILE_FLAG([-Werror],[CXXFLAG_WERROR="-Werror"],[CXXFLAG_WERROR=""])
+
+AX_CXX_COMPILE_STDCXX([11], [noext], [mandatory])
+enable_clmul=
+AX_CHECK_COMPILE_FLAG([-mpclmul],[[enable_clmul=yes]],,[[$CXXFLAG_WERROR]],[AC_LANG_PROGRAM([
+ #include <stdint.h>
+ #include <x86intrin.h>
+], [
+ __m128i a = _mm_cvtsi64_si128((uint64_t)7);
+ __m128i b = _mm_clmulepi64_si128(a, a, 37);
+ __m128i c = _mm_srli_epi64(b, 41);
+ __m128i d = _mm_xor_si128(b, c);
+ uint64_t e = _mm_cvtsi128_si64(d);
+ return e == 0;
+])])
+if test x$enable_clmul = xyes; then
+ CLMUL_CXXFLAGS="-mpclmul"
+ AC_DEFINE(HAVE_CLMUL, 1, [Define this symbol if clmul instructions can be used])
+fi
+
+
+AC_MSG_CHECKING(for working clz builtins)
+AC_COMPILE_IFELSE([AC_LANG_PROGRAM([], [
+ unsigned a = __builtin_clz(1);
+ unsigned long b = __builtin_clzl(1);
+ unsigned long long c = __builtin_clzll(1);
+ ])],
+ [
+ AC_DEFINE(HAVE_CLZ, 1, [Define this symbol if clz builtins are present and working])
+ AC_MSG_RESULT(yes)
+ ],[
+ AC_MSG_RESULT(no)
+ ]
+)
+
+AX_CHECK_LINK_FLAG([[-Wl,--exclude-libs,ALL]],[LDFLAGS="-Wl,--exclude-libs,ALL $LDFLAGS"])
+
+case $host in
+ *mingw*)
+ dnl -static is interpreted by libtool, where it has a different meaning.
+ dnl In libtool-speak, it's -all-static.
+ AX_CHECK_LINK_FLAG([[-static]],[LIBTOOL_APP_LDFLAGS="$LIBTOOL_APP_LDFLAGS -all-static"])
+ ;;
+ *)
+ AX_CHECK_LINK_FLAG([[-static]],[LIBTOOL_APP_LDFLAGS="-static"])
+ ;;
+esac
+
+AX_CHECK_COMPILE_FLAG([-Wall],[WARN_CXXFLAGS="$WARN_CXXFLAGS -Wall"],,[[$CXXFLAG_WERROR]])
+AX_CHECK_COMPILE_FLAG([-fvisibility=hidden],[CXXFLAGS="$CXXFLAGS -fvisibility=hidden"],[],[$CXXFLAG_WERROR])
+
+## Some compilers (gcc) ignore unknown -Wno-* options, but warn about all
+## unknown options if any other warning is produced. Test the -Wfoo case, and
+## set the -Wno-foo case if it works.
+AX_CHECK_COMPILE_FLAG([-Wshift-count-overflow],[NOWARN_CXXFLAGS="$NOWARN_CXXFLAGS -Wno-shift-count-overflow"],,[[$CXXFLAG_WERROR]])
+
+if test "x$use_ccache" != "xno"; then
+ AC_MSG_CHECKING(if ccache should be used)
+ if test x$CCACHE = x; then
+ if test "x$use_ccache" = "xyes"; then
+ AC_MSG_ERROR([ccache not found.]);
+ else
+ use_ccache=no
+ fi
+ else
+ use_ccache=yes
+ CC="$ac_cv_path_CCACHE $CC"
+ CXX="$ac_cv_path_CCACHE $CXX"
+ fi
+ AC_MSG_RESULT($use_ccache)
+fi
+if test "x$use_ccache" = "xyes"; then
+ AX_CHECK_COMPILE_FLAG([-Qunused-arguments],[NOWARN_CXXFLAGS="$NOWARN_CXXFLAGS -Qunused-arguments"],,[[$CXXFLAG_WERROR]])
+fi
+
+VERIFY_DEFINES=-DMINISKETCH_VERIFY
+RELEASE_DEFINES=
+
+AC_CONFIG_FILES([
+ Makefile
+])
+
+AC_SUBST(CLMUL_CXXFLAGS)
+AC_SUBST(WARN_CXXFLAGS)
+AC_SUBST(NOWARN_CXXFLAGS)
+AC_SUBST(VERIFY_DEFINES)
+AC_SUBST(RELEASE_DEFINES)
+AC_SUBST(LIBTOOL_APP_LDFLAGS)
+AM_CONDITIONAL([ENABLE_CLMUL],[test x$enable_clmul = xyes])
+AM_CONDITIONAL([USE_BENCHMARK], [test x"$use_benchmark" = x"yes"])
+AM_CONDITIONAL([USE_TESTS], [test x"$use_tests" != x"no"])
+AC_OUTPUT
+
+echo
+echo "Build Options:"
+echo " with benchmarks = $use_benchmark"
+echo " with tests = $use_tests"
+echo " enable clmul fields = $enable_clmul"
+echo " CXX = $CXX"
+echo " CXXFLAGS = $CXXFLAGS"
+echo " CPPFLAGS = $CPPFLAGS"
+echo " LDFLAGS = $LDFLAGS"
+if test "$have_disabled_fields" = "yes"; then
+echo
+echo "Only compiling in support for field sizes: $enable_fields"
+echo "WARNING: this means the library will lack support for other field sizes entirely"
+fi
diff --git a/src/minisketch/doc/example.c b/src/minisketch/doc/example.c
new file mode 100644
index 0000000000..7279165845
--- /dev/null
+++ b/src/minisketch/doc/example.c
@@ -0,0 +1,51 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include <stdio.h>
+#include <assert.h>
+#include "../include/minisketch.h"
+
+int main(void) {
+
+ minisketch *sketch_a = minisketch_create(12, 0, 4);
+
+ for (int i = 3000; i < 3010; ++i) {
+ minisketch_add_uint64(sketch_a, i);
+ }
+
+ size_t sersize = minisketch_serialized_size(sketch_a);
+ assert(sersize == 12 * 4 / 8); // 4 12-bit values is 6 bytes.
+ unsigned char *buffer_a = malloc(sersize);
+ minisketch_serialize(sketch_a, buffer_a);
+ minisketch_destroy(sketch_a);
+
+ minisketch *sketch_b = minisketch_create(12, 0, 4); // Bob's own sketch
+ for (int i = 3002; i < 3012; ++i) {
+ minisketch_add_uint64(sketch_b, i);
+ }
+
+ sketch_a = minisketch_create(12, 0, 4); // Alice's sketch
+ minisketch_deserialize(sketch_a, buffer_a); // Load Alice's sketch
+ free(buffer_a);
+
+ // Merge the elements from sketch_a into sketch_b. The result is a sketch_b
+ // which contains all elements that occurred in Alice's or Bob's sets, but not
+ // in both.
+ minisketch_merge(sketch_b, sketch_a);
+
+ uint64_t differences[4];
+ ssize_t num_differences = minisketch_decode(sketch_b, 4, differences);
+ minisketch_destroy(sketch_a);
+ minisketch_destroy(sketch_b);
+ if (num_differences < 0) {
+ printf("More than 4 differences!\n");
+ } else {
+ ssize_t i;
+ for (i = 0; i < num_differences; ++i) {
+ printf("%u is in only one of the two sets\n", (unsigned)differences[i]);
+ }
+ }
+}
diff --git a/src/minisketch/doc/gen_basefpbits.sage b/src/minisketch/doc/gen_basefpbits.sage
new file mode 100644
index 0000000000..d1e75a6e29
--- /dev/null
+++ b/src/minisketch/doc/gen_basefpbits.sage
@@ -0,0 +1,78 @@
+# Require exact values up to
+FPBITS = 256
+
+# Overkill accuracy
+F = RealField(400)
+
+def BaseFPBits(bits, capacity):
+ return bits * capacity - int(ceil(F(log(sum(binomial(2**bits - 1, i) for i in range(capacity+1)), 2))))
+
+def Log2Factorial(capacity):
+ return int(floor(log(factorial(capacity), 2)))
+
+print("uint64_t BaseFPBits(uint32_t bits, uint32_t capacity) {")
+print(" // Correction table for low bits/capacities")
+TBLS={}
+FARS={}
+SKIPS={}
+for bits in range(1, 32):
+ TBL = []
+ for capacity in range(1, min(2**bits, FPBITS)):
+ exact = BaseFPBits(bits, capacity)
+ approx = Log2Factorial(capacity)
+ TBL.append((exact, approx))
+ MIN = 10000000000
+ while len(TBL) and ((TBL[-1][0] == TBL[-1][1]) or (TBL[-1][0] >= FPBITS and TBL[-1][1] >= FPBITS)):
+ MIN = min(MIN, TBL[-1][0] - TBL[-1][1])
+ TBL.pop()
+ while len(TBL) and (TBL[-1][0] - TBL[-1][1] == MIN):
+ TBL.pop()
+ SKIP = 0
+ while SKIP < len(TBL) and TBL[SKIP][0] == TBL[SKIP][1]:
+ SKIP += 1
+ DIFFS = [TBL[i][0] - TBL[i][1] for i in range(SKIP, len(TBL))]
+ if len(DIFFS) > 0 and len(DIFFS) * Integer(max(DIFFS)).nbits() > 64:
+ print(" static constexpr uint8_t ADD%i[] = {%s};" % (bits, ", ".join(("%i" % (TBL[i][0] - TBL[i][1])) for i in range(SKIP, len(TBL)))))
+ TBLS[bits] = DIFFS
+ FARS[bits] = MIN
+ SKIPS[bits] = SKIP
+print("")
+print(" if (capacity == 0) return 0;")
+print(" uint64_t ret = 0;")
+print(" if (bits < 32 && capacity >= (1U << bits)) {")
+print(" ret = uint64_t{bits} * (capacity - (1U << bits) + 1);")
+print(" capacity = (1U << bits) - 1;")
+print(" }")
+print(" ret += Log2Factorial(capacity);")
+print(" switch (bits) {")
+for bits in sorted(TBLS.keys()):
+ if len(TBLS[bits]) == 0:
+ continue
+ width = Integer(max(TBLS[bits])).nbits()
+ if len(TBLS[bits]) == 1:
+ add = "%i" % TBLS[bits][0]
+ elif len(TBLS[bits]) * width <= 64:
+ code = sum((2**(width*i) * TBLS[bits][i]) for i in range(len(TBLS[bits])))
+ if width == 1:
+ add = "(0x%x >> (capacity - %i)) & 1" % (code, 1 + SKIPS[bits])
+ else:
+ add = "(0x%x >> %i * (capacity - %i)) & %i" % (code, width, 1 + SKIPS[bits], 2**width - 1)
+ else:
+ add = "ADD%i[capacity - %i]" % (bits, 1 + SKIPS[bits])
+ if len(TBLS[bits]) + SKIPS[bits] == 2**bits - 1:
+ print(" case %i: return ret + (capacity <= %i ? 0 : %s);" % (bits, SKIPS[bits], add))
+ else:
+ print(" case %i: return ret + (capacity <= %i ? 0 : capacity > %i ? %i : %s);" % (bits, SKIPS[bits], len(TBLS[bits]) + SKIPS[bits], FARS[bits], add))
+print(" default: return ret;")
+print(" }")
+print("}")
+
+print("void TestBaseFPBits() {")
+print(" static constexpr uint16_t TBL[20][100] = {%s};" % (", ".join("{" + ", ".join(("%i" % BaseFPBits(bits, capacity)) for capacity in range(0, 100)) + "}" for bits in range(1, 21))))
+print(" for (int bits = 1; bits <= 20; ++bits) {")
+print(" for (int capacity = 0; capacity < 100; ++capacity) {")
+print(" uint64_t computed = BaseFPBits(bits, capacity), exact = TBL[bits - 1][capacity];")
+print(" CHECK(exact == computed || (exact >= 256 && computed >= 256));")
+print(" }")
+print(" }")
+print("}")
diff --git a/src/minisketch/doc/gen_params.sage b/src/minisketch/doc/gen_params.sage
new file mode 100755
index 0000000000..1cf036adb4
--- /dev/null
+++ b/src/minisketch/doc/gen_params.sage
@@ -0,0 +1,333 @@
+#!/usr/bin/env sage
+r"""
+Generate finite field parameters for minisketch.
+
+This script selects the finite fields used by minisketch
+ for various sizes and generates the required tables for
+ the implementation.
+
+The output (after formatting) can be found in src/fields/*.cpp.
+
+"""
+B.<b> = GF(2)
+P.<p> = B[]
+
+def apply_map(m, v):
+ r = 0
+ i = 0
+ while v != 0:
+ if (v & 1):
+ r ^^= m[i]
+ i += 1
+ v >>= 1
+ return r
+
+def recurse_moduli(acc, maxweight, maxdegree):
+ for pos in range(maxweight, maxdegree + 1, 1):
+ poly = acc + p^pos
+ if maxweight == 1:
+ if poly.is_irreducible():
+ return (pos, poly)
+ else:
+ (deg, ret) = recurse_moduli(poly, maxweight - 1, pos - 1)
+ if ret is not None:
+ return (pos, ret)
+ return (None, None)
+
+def compute_moduli(bits):
+ # Return all optimal irreducible polynomials for GF(2^bits)
+ # The result is a list of tuples (weight, degree of second-highest nonzero coefficient, polynomial)
+ maxdegree = bits - 1
+ result = []
+ for weight in range(1, bits, 2):
+ deg, res = None, None
+ while True:
+ ret = recurse_moduli(p^bits + 1, weight, maxdegree)
+ if ret[0] is not None:
+ (deg, res) = ret
+ maxdegree = deg - 1
+ else:
+ break
+ if res is not None:
+ result.append((weight + 2, deg, res))
+ return result
+
+def bits_to_int(vals):
+ ret = 0
+ base = 1
+ for val in vals:
+ ret += Integer(val) * base
+ base *= 2
+ return ret
+
+def sqr_table(f, bits, n=1):
+ ret = []
+ for i in range(bits):
+ ret.append((f^(2^n*i)).integer_representation())
+ return ret
+
+# Compute x**(2**n)
+def pow2(x, n):
+ for i in range(n):
+ x = x**2
+ return x
+
+def qrt_table(F, f, bits):
+ # Table for solving x2 + x = a
+ # This implements the technique from https://www.raco.cat/index.php/PublicacionsMatematiques/article/viewFile/37927/40412, Lemma 1
+ for i in range(bits):
+ if (f**i).trace() != 0:
+ u = f**i
+ ret = []
+ for i in range(0, bits):
+ d = f^i
+ y = sum(pow2(d, j) * sum(pow2(u, k) for k in range(j)) for j in range(1, bits))
+ ret.append(y.integer_representation() ^^ (y.integer_representation() & 1))
+ return ret
+
+def conv_tables(F, NF, bits):
+ # Generate a F(2) linear projection that maps elements from one field
+ # to an isomorphic field with a different modulus.
+ f = F.gen()
+ fp = f.minimal_polynomial()
+ assert(fp == F.modulus())
+ nfp = fp.change_ring(NF)
+ nf = sorted(nfp.roots(multiplicities=False))[0]
+ ret = []
+ matrepr = [[B(0) for x in range(bits)] for y in range(bits)]
+ for i in range(bits):
+ val = (nf**i).integer_representation()
+ ret.append(val)
+ for j in range(bits):
+ matrepr[j][i] = B((val >> j) & 1)
+ mat = Matrix(matrepr).inverse().transpose()
+ ret2 = []
+ for i in range(bits):
+ ret2.append(bits_to_int(mat[i]))
+
+ for t in range(100):
+ f1a = F.random_element()
+ f1b = F.random_element()
+ f1r = f1a * f1b
+ f2a = NF.fetch_int(apply_map(ret, f1a.integer_representation()))
+ f2b = NF.fetch_int(apply_map(ret, f1b.integer_representation()))
+ f2r = NF.fetch_int(apply_map(ret, f1r.integer_representation()))
+ f2s = f2a * f2b
+ assert(f2r == f2s)
+
+ for t in range(100):
+ f2a = NF.random_element()
+ f2b = NF.random_element()
+ f2r = f2a * f2b
+ f1a = F.fetch_int(apply_map(ret2, f2a.integer_representation()))
+ f1b = F.fetch_int(apply_map(ret2, f2b.integer_representation()))
+ f1r = F.fetch_int(apply_map(ret2, f2r.integer_representation()))
+ f1s = f1a * f1b
+ assert(f1r == f1s)
+
+ return (ret, ret2)
+
+def fmt(i,typ):
+ if i == 0:
+ return "0"
+ else:
+ return "0x%x" % i
+
+def lintranstype(typ, bits, maxtbl):
+ gsize = min(maxtbl, bits)
+ array_size = (bits + gsize - 1) // gsize
+ bits_list = []
+ total = 0
+ for i in range(array_size):
+ rsize = (bits - total + array_size - i - 1) // (array_size - i)
+ total += rsize
+ bits_list.append(rsize)
+ return "RecLinTrans<%s, %s>" % (typ, ", ".join("%i" % x for x in bits_list))
+
+INT=0
+CLMUL=1
+CLMUL_TRI=2
+MD=3
+
+def print_modulus_md(mod):
+ ret = ""
+ pos = mod.degree()
+ for c in reversed(list(mod)):
+ if c:
+ if ret:
+ ret += " + "
+ if pos == 0:
+ ret += "1"
+ elif pos == 1:
+ ret += "x"
+ else:
+ ret += "x<sup>%i</sup>" % pos
+ pos -= 1
+ return ret
+
+def pick_modulus(bits, style):
+ # Choose the lexicographicly-first lowest-weight modulus
+ # optionally subject to implementation specific constraints.
+ moduli = compute_moduli(bits)
+ if style == INT or style == MD:
+ multi_sqr = False
+ need_trans = False
+ elif style == CLMUL:
+ # Fast CLMUL reduction requires that bits + the highest
+ # set bit are less than 66.
+ moduli = list(filter((lambda x: bits+x[1] <= 66), moduli)) + moduli
+ multi_sqr = True
+ need_trans = True
+ if not moduli or moduli[0][2].change_ring(ZZ)(2) == 3 + 2**bits:
+ # For modulus 3, CLMUL_TRI is obviously better.
+ return None
+ elif style == CLMUL_TRI:
+ moduli = list(filter(lambda x: bits+x[1] <= 66, moduli)) + moduli
+ moduli = list(filter(lambda x: x[0] == 3, moduli))
+ multi_sqr = True
+ need_trans = True
+ else:
+ assert(False)
+ if not moduli:
+ return None
+ return moduli[0][2]
+
+def print_result(bits, style):
+ if style == INT:
+ multi_sqr = False
+ need_trans = False
+ table_id = "%i" % bits
+ elif style == MD:
+ pass
+ elif style == CLMUL:
+ multi_sqr = True
+ need_trans = True
+ table_id = "%i" % bits
+ elif style == CLMUL_TRI:
+ multi_sqr = True
+ need_trans = True
+ table_id = "TRI%i" % bits
+ else:
+ assert(False)
+
+ nmodulus = pick_modulus(bits, INT)
+ modulus = pick_modulus(bits, style)
+ if modulus is None:
+ return
+
+ if style == MD:
+ print("* *%s*" % print_modulus_md(modulus))
+ return
+
+ if bits > 32:
+ typ = "uint64_t"
+ elif bits > 16:
+ typ = "uint32_t"
+ elif bits > 8:
+ typ = "uint16_t"
+ else:
+ typ = "uint8_t"
+
+ ttyp = lintranstype(typ, bits, 4)
+ rtyp = lintranstype(typ, bits, 6)
+
+ F.<f> = GF(2**bits, modulus=modulus)
+
+ include_table = True
+ if style != INT and style != CLMUL:
+ cmodulus = pick_modulus(bits, CLMUL)
+ if cmodulus == modulus:
+ include_table = False
+ table_id = "%i" % bits
+
+ if include_table:
+ print("typedef %s StatTable%s;" % (rtyp, table_id))
+ rtyp = "StatTable%s" % table_id
+ if (style == INT):
+ print("typedef %s DynTable%s;" % (ttyp, table_id))
+ ttyp = "DynTable%s" % table_id
+
+ if need_trans:
+ if modulus != nmodulus:
+ # If the bitstream modulus is not the best modulus for
+ # this implementation a conversion table will be needed.
+ ctyp = rtyp
+ NF.<nf> = GF(2**bits, modulus=nmodulus)
+ ctables = conv_tables(NF, F, bits)
+ loadtbl = "&LOAD_TABLE_%s" % table_id
+ savetbl = "&SAVE_TABLE_%s" % table_id
+ if include_table:
+ print("constexpr %s LOAD_TABLE_%s({%s});" % (ctyp, table_id, ", ".join([fmt(x,typ) for x in ctables[0]])))
+ print("constexpr %s SAVE_TABLE_%s({%s});" % (ctyp, table_id, ", ".join([fmt(x,typ) for x in ctables[1]])))
+ else:
+ ctyp = "IdTrans"
+ loadtbl = "&ID_TRANS"
+ savetbl = "&ID_TRANS"
+ else:
+ assert(modulus == nmodulus)
+
+ if include_table:
+ print("constexpr %s SQR_TABLE_%s({%s});" % (rtyp, table_id, ", ".join([fmt(x,typ) for x in sqr_table(f, bits, 1)])))
+ if multi_sqr:
+ # Repeated squaring is a linearised polynomial so in F(2^n) it is
+ # F(2) linear and can be computed by a simple bit-matrix.
+ # Repeated squaring is especially useful in powering ladders such as
+ # for inversion.
+ # When certain repeated squaring tables are not in use, use the QRT
+ # table instead to make the C++ compiler happy (it always has the
+ # same type).
+ sqr2 = "&QRT_TABLE_%s" % table_id
+ sqr4 = "&QRT_TABLE_%s" % table_id
+ sqr8 = "&QRT_TABLE_%s" % table_id
+ sqr16 = "&QRT_TABLE_%s" % table_id
+ if ((bits - 1) >= 4):
+ if include_table:
+ print("constexpr %s SQR2_TABLE_%s({%s});" % (rtyp, table_id, ", ".join([fmt(x,typ) for x in sqr_table(f, bits, 2)])))
+ sqr2 = "&SQR2_TABLE_%s" % table_id
+ if ((bits - 1) >= 8):
+ if include_table:
+ print("constexpr %s SQR4_TABLE_%s({%s});" % (rtyp, table_id, ", ".join([fmt(x,typ) for x in sqr_table(f, bits, 4)])))
+ sqr4 = "&SQR4_TABLE_%s" % table_id
+ if ((bits - 1) >= 16):
+ if include_table:
+ print("constexpr %s SQR8_TABLE_%s({%s});" % (rtyp, table_id, ", ".join([fmt(x,typ) for x in sqr_table(f, bits, 8)])))
+ sqr8 = "&SQR8_TABLE_%s" % table_id
+ if ((bits - 1) >= 32):
+ if include_table:
+ print("constexpr %s SQR16_TABLE_%s({%s});" % (rtyp, table_id, ", ".join([fmt(x,typ) for x in sqr_table(f, bits, 16)])))
+ sqr16 = "&SQR16_TABLE_%s" % table_id
+ if include_table:
+ print("constexpr %s QRT_TABLE_%s({%s});" % (rtyp, table_id, ", ".join([fmt(x,typ) for x in qrt_table(F, f, bits)])))
+
+ modulus_weight = modulus.hamming_weight()
+ modulus_degree = (modulus - p**bits).degree()
+ modulus_int = (modulus - p**bits).change_ring(ZZ)(2)
+
+ lfsr = ""
+
+ if style == INT:
+ print("typedef Field<%s, %i, %i, %s, %s, &SQR_TABLE_%s, &QRT_TABLE_%s%s> Field%i;" % (typ, bits, modulus_int, rtyp, ttyp, table_id, table_id, lfsr, bits))
+ elif style == CLMUL:
+ print("typedef Field<%s, %i, %i, %s, &SQR_TABLE_%s, %s, %s, %s, %s, &QRT_TABLE_%s, %s, %s, %s%s> Field%i;" % (typ, bits, modulus_int, rtyp, table_id, sqr2, sqr4, sqr8, sqr16, table_id, ctyp, loadtbl, savetbl, lfsr, bits))
+ elif style == CLMUL_TRI:
+ print("typedef FieldTri<%s, %i, %i, %s, &SQR_TABLE_%s, %s, %s, %s, %s, &QRT_TABLE_%s, %s, %s, %s> FieldTri%i;" % (typ, bits, modulus_degree, rtyp, table_id, sqr2, sqr4, sqr8, sqr16, table_id, ctyp, loadtbl, savetbl, bits))
+ else:
+ assert(False)
+
+for bits in range(2, 65):
+ print("#ifdef ENABLE_FIELD_INT_%i" % bits)
+ print("// %i bit field" % bits)
+ print_result(bits, INT)
+ print("#endif")
+ print("")
+
+for bits in range(2, 65):
+ print("#ifdef ENABLE_FIELD_INT_%i" % bits)
+ print("// %i bit field" % bits)
+ print_result(bits, CLMUL)
+ print_result(bits, CLMUL_TRI)
+ print("#endif")
+ print("")
+
+for bits in range(2, 65):
+ print_result(bits, MD)
diff --git a/src/minisketch/doc/log2_factorial.sage b/src/minisketch/doc/log2_factorial.sage
new file mode 100644
index 0000000000..afc6d66c57
--- /dev/null
+++ b/src/minisketch/doc/log2_factorial.sage
@@ -0,0 +1,85 @@
+import bisect
+
+INPUT_BITS = 32
+TABLE_BITS = 5
+INT_BITS = 64
+EXACT_FPBITS = 256
+
+F = RealField(100) # overkill
+
+def BestOverApproxInvLog2(mulof, maxd):
+ """
+ Compute denominator of an approximation of 1/log(2).
+
+ Specifically, find the value of d (<= maxd, and a multiple of mulof)
+ such that ceil(d/log(2))/d is the best approximation of 1/log(2).
+ """
+ dist=1
+ best=0
+ # Precomputed denominators that lead to good approximations of 1/log(2)
+ for d in [1, 2, 9, 70, 131, 192, 445, 1588, 4319, 11369, 18419, 25469, 287209, 836158, 3057423, 8336111, 21950910, 35565709, 49180508, 161156323, 273132138, 385107953, 882191721]:
+ kd = lcm(mulof, d)
+ if kd <= maxd:
+ n = ceil(kd / log(2))
+ dis = F((n / kd) - 1 / log(2))
+ if dis < dist:
+ dist = dis
+ best = kd
+ return best
+
+
+LOG2_TABLE = []
+A = 0
+B = 0
+C = 0
+D = 0
+K = 0
+
+def Setup(k):
+ global LOG2_TABLE, A, B, C, D, K
+ K = k
+ LOG2_TABLE = []
+ for i in range(2 ** TABLE_BITS):
+ LOG2_TABLE.append(int(floor(F(K * log(1 + i / 2**TABLE_BITS, 2)))))
+
+ # Maximum for (2*x+1)*LogK2(x)
+ max_T = (2^(INPUT_BITS + 1) - 1) * (INPUT_BITS*K - 1)
+ # Maximum for A
+ max_A = (2^INT_BITS - 1) // max_T
+ D = BestOverApproxInvLog2(2 * K, max_A * 2 * K)
+ A = D // (2 * K)
+ B = int(ceil(F(D/log(2))))
+ C = int(floor(F(D*log(2*pi,2)/2)))
+
+def LogK2(n):
+ assert(n >= 1 and n < (1 << INPUT_BITS))
+ bits = Integer(n).nbits()
+ return K * (bits - 1) + LOG2_TABLE[((n << (INPUT_BITS - bits)) >> (INPUT_BITS - TABLE_BITS - 1)) - 2**TABLE_BITS]
+
+def Log2Fact(n):
+ # Use formula (A*(2*x+1)*LogK2(x) - B*x + C) / D
+ return (A*(2*n+1)*LogK2(n) - B*n + C) // D + (n < 3)
+
+RES = [int(F(log(factorial(i),2))) for i in range(EXACT_FPBITS * 10)]
+
+best_worst_ratio = 0
+
+for K in range(1, 10000):
+ Setup(K)
+ assert(LogK2(1) == 0)
+ assert(LogK2(2) == K)
+ assert(LogK2(4) == 2 * K)
+ good = True
+ worst_ratio = 1
+ for i in range(1, EXACT_FPBITS * 10):
+ exact = RES[i]
+ approx = Log2Fact(i)
+ if not (approx <= exact and ((approx == exact) or (approx >= EXACT_FPBITS and exact >= EXACT_FPBITS))):
+ good = False
+ break
+ if worst_ratio * exact > approx:
+ worst_ratio = approx / exact
+ if good and worst_ratio > best_worst_ratio:
+ best_worst_ratio = worst_ratio
+ print("Formula: (%i*(2*x+1)*floor(%i*log2(x)) - %i*x + %i) / %i; log(max_ratio)=%f" % (A, K, B, C, D, RR(-log(worst_ratio))))
+ print("LOG2K_TABLE: %r" % LOG2_TABLE)
diff --git a/src/minisketch/doc/math.md b/src/minisketch/doc/math.md
new file mode 100644
index 0000000000..cf46f193ab
--- /dev/null
+++ b/src/minisketch/doc/math.md
@@ -0,0 +1,117 @@
+# The mathematics of Minisketch sketches
+
+This is an unconventional mathematical overview of the PinSketch algorithm without references to coding theory<sup>[[1]](#myfootnote1)</sup>.
+
+## Set sketches
+
+A sketch, for the purpose of this description, can be seen as a "set checksum" with two peculiar properties:
+
+* Sketches have a predetermined capacity, and when the number of elements in the set is not higher than the capacity, minisketch will always recover the entire set from the sketch. A sketch of *b*-bit elements with capacity *c* can be stored in *bc* bits.
+* The sketches of two sets can be combined by adding them (XOR) to obtain a sketch of the [symmetric difference](https://en.wikipedia.org/wiki/Symmetric_difference) between the two sets (*i.e.*, all elements that occur in one but not both input sets).
+
+This overview explains how sets can be converted into a sketch and how a set can be recovered from a sketch.
+
+## From field elements to sketches
+
+**Data entries as field elements**
+
+Every integer in the range *[1...2<sup>b</sup>-1]* (the acceptable data elements for a Minisketch sketch with field size *b*) can be mapped to a nonzero field element of *GF(2<sup>b</sup>)*. In this [finite field](https://en.wikipedia.org/wiki/Finite_field), we can add and multiply elements together, with many of the expected properties for those operations. Addition (and subtraction!) of field elements corresponds to bitwise XOR of the integers they correspond to, though multiplication is more involved.
+
+**Sets as power series**
+
+We define a function *S* which maps field elements *m* to the following [formal power series](https://en.wikipedia.org/wiki/Formal_power_series) (similar to a polynomial, except there can be an infinite number of terms, and we don't care about concepts like convergence as we're never going to actually evaluate it for a specific value of *x*):
+
+* *S(m) = 1 + mx + m<sup>2</sup>x<sup>2</sup> + m<sup>3</sup>x<sup>3</sup> + ...*.
+
+We then extend this function to operate on sets of field elements, by adding together the images of every set element. If *M = {m<sub>1</sub>, m<sub>2</sub>, ... }*:
+
+* *S(M) = S({m<sub>1</sub>,m<sub>2</sub>,...}) = S(m<sub>1</sub>) + S(m<sub>2</sub>) + ... = (1 + 1 + ...) + (m<sub>1</sub> + m<sub>2</sub> + ...)x + (m<sub>1</sub><sup>2</sup> + m<sub>2</sub><sup>2</sup> + ...)x<sup>2</sup> + (m<sub>1</sub><sup>3</sup> + ...*
+
+Because in our field addition corresponds to XOR of integers, it holds for every *a* that *a + a = 0*. This carries over to the *S* function, meaning that *S(a) + S(a) = 0* for every *a*. This means that the coefficients of these power series have the second of the properties we
+desire from a sketch, namely that an efficient operation exists to
+combine two sketches such that the result is a sketch of the symmetric
+difference of the sets. It holds that
+*S({m<sub>1</sub>,m<sub>2</sub>}) + S({m<sub>2</sub>,m<sub>3</sub>}) = S(m<sub>1</sub>) + (S(m<sub>2</sub>) + S(m<sub>2</sub>)) + S(m<sub>3</sub>) = S(m<sub>1</sub>) + S(m<sub>3</sub>) = S({m<sub>1</sub>,m<sub>3</sub>})*. The question is whether we can also efficiently recover the elements from their power series' coefficients.
+
+**An infinity of coefficients is hard**
+
+To make reasoning about these power series easier, notice that the series for a single element is in fact a [geometric series](https://en.wikipedia.org/wiki/Geometric_series). If we were working over real numbers rather than a finite field and *|mx| < 1*, it would converge to *(1 - mx)<sup>-1</sup>*. Convergence has no meaning in formal power series, however it is still the case that:
+
+* *(1 - mx) S(m) = 1*
+
+You can verify this by seeing that every coefficient except the constant one gets cancelled out by the multiplication. This can be generalized to the series for multiple set elements. For two elements we have:
+
+* *(1 - m<sub>1</sub>x) (1 - m<sub>2</sub>x) S({m<sub>1</sub>,m<sub>2</sub>}) = (1 - m<sub>1</sub>x) (1 - m<sub>2</sub>x) (S(m<sub>1</sub>) + S(m<sub>2</sub>)) = (1 - m<sub>2</sub>x) + (1 - m<sub>1</sub>x)*
+
+And for three:
+
+* *(1 - m<sub>1</sub>x) (1 - m<sub>2</sub>x) (1 - m<sub>3</sub>x) S({m<sub>1</sub>,m<sub>2</sub>,m<sub>3</sub>}) = (1 - m<sub>1</sub>x) (1 - m<sub>2</sub>x) (1 - m<sub>3</sub>x) (S(m<sub>1</sub>) + S(m<sub>2</sub>) + S(m<sub>3</sub>)) = (1 - m<sub>2</sub>x)(1 - m<sub>3</sub>x) + (1 - m<sub>1</sub>x)(1 - m<sub>3</sub>x) + (1 - m<sub>1</sub>x)(1 - m<sub>2</sub>x)*
+
+In each case, we notice that multiplying *S(M)* with *(1 - m<sub>i</sub>x)* for each element *m<sub>i</sub> &isin; M* results in a polynomial of degree *n-1*.
+
+**Solving for the set elements**
+
+The above insight lets us build a solver that extracts the set elements from the coefficients of a power series. If we can find a polynomial *L* that is the product of *n* different *(1 - m<sub>i</sub>x)* factors for various values of *m<sub>i</sub>*, such that *P = S(M)L* is an *n-1* degree polynomial, then those values *m<sub>i</sub>* are the elements of *M*.
+
+The coefficients of *P* are nontrivial expressions of the set elements themselves. However, we can just focus on the coefficients of degree *n* and higher in *P*, as those are all 0. Let *s<sub>i</sub>* be the coefficients of *S(M)*, and *l<sub>i</sub>* the coefficients of L. In other words, *S(M) = s<sub>0</sub> + s<sub>1</sub>x + s<sub>2</sub>x<sup>2</sup> + s<sub>3</sub>x<sup>3</sup> + ...* and *L = l<sub>0</sub> + l<sub>1</sub>x + l<sub>2</sub>x<sup>2</sup> + l<sub>3</sub>x<sup>3</sup> + ... + l<sub>n</sub>x<sup>n</sup>*. Note that *l<sub>0</sub> = 1*, as it is the product of all the *1* terms in the *(1 - m<sub>i</sub>x)* factors.
+
+Here are the equations for the coefficients of *S(M)L* of degree *n+1* through *2n*:
+* *s<sub>n+1</sub> + s<sub>n+0</sub>l<sub>1</sub> + s<sub>n-1</sub>l<sub>2</sub> + s<sub>n-2</sub>l<sub>3</sub> + ... + s<sub>1</sub>l<sub>n</sub> = 0*
+* *s<sub>n+2</sub> + s<sub>n+1</sub>l<sub>1</sub> + s<sub>n+0</sub>l<sub>2</sub> + s<sub>n-1</sub>l<sub>3</sub> + ... + s<sub>2</sub>l<sub>n</sub> = 0*
+* *s<sub>n+3</sub> + s<sub>n+2</sub>l<sub>1</sub> + s<sub>n+1</sub>l<sub>2</sub> + s<sub>n+0</sub>l<sub>3</sub> + ... + s<sub>3</sub>l<sub>n</sub> = 0*
+* ...
+* *s<sub>2n</sub> + s<sub>2n-1</sub>l<sub>1</sub> + s<sub>2n-2</sub>l<sub>2</sub> + s<sub>2n-3</sub>l<sub>3</sub> + ... + s<sub>n</sub>l<sub>n</sub> = 0*
+
+These are *n* linear equations with *n* unknowns (the *l<sub>i<sub>*
+values, for *i=1..n*), which can be solved using [Gaussian elimination](https://en.wikipedia.org/wiki/Gaussian_elimination). After doing so,
+we have the coefficients of *L*, which can then be [factored](https://en.wikipedia.org/wiki/Factorization_of_polynomials_over_finite_fields)
+into first degree factors of the form *(1 - m<sub>i</sub>x)*. The resulting *m* values are our set elements.
+
+**Putting it all together**
+
+Interestingly, only *2n* coefficients of *S(M)* were needed for solving
+the set of equations above. This means we have our answer: the
+coefficients *1* through *2n* of *S(M)*, or the list
+*[m<sub>1</sub> + m<sub>2</sub> + ..., m<sub>1</sub><sup>2</sup> + m<sub>2</sub><sup>2</sup> + ..., ..., m<sub>1</sub><sup>2n</sup> + m<sub>2</sub><sup>2n</sup> + ...]*
+functions as a sketch, satisfying the two properties we want:
+
+* Sketches can be combined to form the sketch of their symmetric difference, by simply pairwise adding the list elements together.
+* With *2n* list elements we can efficiently recover *n* elements from a sketch.
+
+**Capacity and difference**
+
+The approach above only works when the number of elements *n* in the sketch is known. Of course we want to support cases where only an upper bound on the number of elements in the sketch is known, the capacity *c*. Given that we can reconstruct a set of size *c* from a sketch with *2c* terms, we should be able to reconstruct a set of size *n* too as long as *n &le; c*. This is simply a matter of trying to solve the above set of equations assuming values of *n* that count down from *c* until a solution is found for one. This is known as the [Peterson-Gorenstein-Zierler algorithm](https://en.wikipedia.org/wiki/BCH_code#Peterson%E2%80%93Gorenstein%E2%80%93Zierler_algorithm).
+
+## Optimizations
+
+**Halving the sketch size**
+
+We can in fact only include the odd terms in the sketch, and reconstruct the even ones before solving the equation to find *L*. This means the size of a sketch becomes just *c* field elements, the same size as would be needed to send its contents naively.
+
+To see how this is possible, we need the [Frobenius endomorphism](https://en.wikipedia.org/wiki/Frobenius_endomorphism), which in short states that in fields where *x + x = 0* it holds that *(x + y)<sup>2</sup> = x<sup>2</sup> + y<sup>2</sup>* for every *x* and *y* (the dream of every high school math student!). This means that:
+
+* *s<sub>2</sub> = m<sub>1</sub><sup>2</sup> + m<sub>2</sub><sup>2</sup> + ... = (m<sub>1</sub> + m<sub>2</sub> + ...)<sup>2</sup> = s<sub>1</sub><sup>2</sup>*.
+* *s<sub>4</sub> = m<sub>1</sub><sup>4</sup> + m<sub>2</sub><sup>4</sup> + ... = (m<sub>1</sub><sup>2</sup> + m<sub>2</sub><sup>2</sup> + ...)<sup>2</sup> = s<sub>2</sub><sup>2</sup>*.
+* *s<sub>6</sub> = m<sub>1</sub><sup>6</sup> + m<sub>2</sub><sup>6</sup> + ... = (m<sub>1</sub><sup>3</sup> + m<sub>2</sub><sup>3</sup> + ...)<sup>2</sup> = s<sub>3</sub><sup>2</sup>*.
+* ...
+
+In other words, we only need to send *s<sub>1</sub>, s<sub>3</sub>, s<sub>5</sub>, ..., s<sub>2n-1</sub>* to recover all *2n* *s<sub>i</sub>* values, and proceed with reconstruction.
+
+**Quadratic performance rather than cubic**
+
+Using Gaussian elimination to solve the set of equations above for the *l<sub>i</sub>* values requires *O(n<sup>3</sup>)* field operations. However, due to the special structure in the equations (look at the repeated *s<sub>i</sub>* values), it can be solved in *O(n<sup>2</sup>)* time using a number of techniques, including the [Berlekamp-Massey algorithm](https://en.wikipedia.org/wiki/Berlekamp%E2%80%93Massey_algorithm) (BM).
+
+**Roots instead of factorization**
+
+As explained above, the polynomial *L* can be factored into *(1 - m<sub>i</sub>x)* factors, where the values *m<sub>i</sub>* are the set elements. However, since we know that a decodable sketch must result in a polynomial that is fully factorizable into degree-*1* factors, we can instead use a more efficient root-finding algorithm rather than a factorization algorithm. As the root of each *(1 - m<sub>i</sub>x)* factor is *m<sub>i</sub><sup>-1</sup>*, we conclude that the set elements are in fact the inverses of the roots of *L*.
+
+**Avoiding inversions**
+
+As inversions are a relatively expensive operation, it would be useful to avoid them.
+
+Say that we're trying to find the inverses of the roots of *L = 1 + l<sub>1</sub>x + l<sub>2</sub>x<sup>2</sup> + ... + l<sub>n</sub>x<sup>n</sup>*, then we're really interested in the solutions *y* for *1 + l<sub>1</sub>y<sup>-1</sup> + l<sub>2</sub>y<sup>-2</sup> + ... + l<sub>n</sub>y<sup>-n</sup> = 0*. By multiplying both sides in the equations with *y<sup>n</sup>*, we find *l<sub>n</sub> + l<sub>n-1</sub>y + l<sub>n-2</sub>y<sup>2</sup> + ... + y<sup>n</sup> = 0*.
+
+In other words, we can find the inverses of the roots of *L* by instead factoring the polynomial with the coefficients of *L* in reverse order.
+
+* <a name="myfootnote1">[1]</a> For those familiar with coding theory: PinSketch communicates a set difference by encoding the set members as errors in a binary [BCH](https://en.wikipedia.org/wiki/BCH_code) codeword 2<sup>bits</sup> in size and sends the syndromes.
+ The linearity of the syndromes provides all the properties needed for a sketch. Sketch decoding is simply finding the error locations. Decode is much faster than an ordinary BCH decoder for such a large codeword because the need to take a discrete log is avoided by storing the set in the roots directly instead of in an exponent (logically permuting the bits of the codeword).
diff --git a/src/minisketch/doc/minisketch-vs.png b/src/minisketch/doc/minisketch-vs.png
new file mode 100644
index 0000000000..aed810de8a
--- /dev/null
+++ b/src/minisketch/doc/minisketch-vs.png
Binary files differ
diff --git a/src/minisketch/doc/moduli.md b/src/minisketch/doc/moduli.md
new file mode 100644
index 0000000000..379ac481b3
--- /dev/null
+++ b/src/minisketch/doc/moduli.md
@@ -0,0 +1,65 @@
+These are the irreducible polynomials over *GF(2)* used to represent field elements:
+
+* *x<sup>2</sup> + x + 1*
+* *x<sup>3</sup> + x + 1*
+* *x<sup>4</sup> + x + 1*
+* *x<sup>5</sup> + x<sup>2</sup> + 1*
+* *x<sup>6</sup> + x + 1*
+* *x<sup>7</sup> + x + 1*
+* *x<sup>8</sup> + x<sup>4</sup> + x<sup>3</sup> + x + 1*
+* *x<sup>9</sup> + x + 1*
+* *x<sup>10</sup> + x<sup>3</sup> + 1*
+* *x<sup>11</sup> + x<sup>2</sup> + 1*
+* *x<sup>12</sup> + x<sup>3</sup> + 1*
+* *x<sup>13</sup> + x<sup>4</sup> + x<sup>3</sup> + x + 1*
+* *x<sup>14</sup> + x<sup>5</sup> + 1*
+* *x<sup>15</sup> + x + 1*
+* *x<sup>16</sup> + x<sup>5</sup> + x<sup>3</sup> + x + 1*
+* *x<sup>17</sup> + x<sup>3</sup> + 1*
+* *x<sup>18</sup> + x<sup>3</sup> + 1*
+* *x<sup>19</sup> + x<sup>5</sup> + x<sup>2</sup> + x + 1*
+* *x<sup>20</sup> + x<sup>3</sup> + 1*
+* *x<sup>21</sup> + x<sup>2</sup> + 1*
+* *x<sup>22</sup> + x + 1*
+* *x<sup>23</sup> + x<sup>5</sup> + 1*
+* *x<sup>24</sup> + x<sup>4</sup> + x<sup>3</sup> + x + 1*
+* *x<sup>25</sup> + x<sup>3</sup> + 1*
+* *x<sup>26</sup> + x<sup>4</sup> + x<sup>3</sup> + x + 1*
+* *x<sup>27</sup> + x<sup>5</sup> + x<sup>2</sup> + x + 1*
+* *x<sup>28</sup> + x + 1*
+* *x<sup>29</sup> + x<sup>2</sup> + 1*
+* *x<sup>30</sup> + x + 1*
+* *x<sup>31</sup> + x<sup>3</sup> + 1*
+* *x<sup>32</sup> + x<sup>7</sup> + x<sup>3</sup> + x<sup>2</sup> + 1*
+* *x<sup>33</sup> + x<sup>10</sup> + 1*
+* *x<sup>34</sup> + x<sup>7</sup> + 1*
+* *x<sup>35</sup> + x<sup>2</sup> + 1*
+* *x<sup>36</sup> + x<sup>9</sup> + 1*
+* *x<sup>37</sup> + x<sup>6</sup> + x<sup>4</sup> + x + 1*
+* *x<sup>38</sup> + x<sup>6</sup> + x<sup>5</sup> + x + 1*
+* *x<sup>39</sup> + x<sup>4</sup> + 1*
+* *x<sup>40</sup> + x<sup>5</sup> + x<sup>4</sup> + x<sup>3</sup> + 1*
+* *x<sup>41</sup> + x<sup>3</sup> + 1*
+* *x<sup>42</sup> + x<sup>7</sup> + 1*
+* *x<sup>43</sup> + x<sup>6</sup> + x<sup>4</sup> + x<sup>3</sup> + 1*
+* *x<sup>44</sup> + x<sup>5</sup> + 1*
+* *x<sup>45</sup> + x<sup>4</sup> + x<sup>3</sup> + x + 1*
+* *x<sup>46</sup> + x + 1*
+* *x<sup>47</sup> + x<sup>5</sup> + 1*
+* *x<sup>48</sup> + x<sup>5</sup> + x<sup>3</sup> + x<sup>2</sup> + 1*
+* *x<sup>49</sup> + x<sup>9</sup> + 1*
+* *x<sup>50</sup> + x<sup>4</sup> + x<sup>3</sup> + x<sup>2</sup> + 1*
+* *x<sup>51</sup> + x<sup>6</sup> + x<sup>3</sup> + x + 1*
+* *x<sup>52</sup> + x<sup>3</sup> + 1*
+* *x<sup>53</sup> + x<sup>6</sup> + x<sup>2</sup> + x + 1*
+* *x<sup>54</sup> + x<sup>9</sup> + 1*
+* *x<sup>55</sup> + x<sup>7</sup> + 1*
+* *x<sup>56</sup> + x<sup>7</sup> + x<sup>4</sup> + x<sup>2</sup> + 1*
+* *x<sup>57</sup> + x<sup>4</sup> + 1*
+* *x<sup>58</sup> + x<sup>19</sup> + 1*
+* *x<sup>59</sup> + x<sup>7</sup> + x<sup>4</sup> + x<sup>2</sup> + 1*
+* *x<sup>60</sup> + x + 1*
+* *x<sup>61</sup> + x<sup>5</sup> + x<sup>2</sup> + x + 1*
+* *x<sup>62</sup> + x<sup>29</sup> + 1*
+* *x<sup>63</sup> + x + 1*
+* *x<sup>64</sup> + x<sup>4</sup> + x<sup>3</sup> + x + 1*
diff --git a/src/minisketch/doc/plot_bits.png b/src/minisketch/doc/plot_bits.png
new file mode 100644
index 0000000000..6e907d6b20
--- /dev/null
+++ b/src/minisketch/doc/plot_bits.png
Binary files differ
diff --git a/src/minisketch/doc/plot_capacity.png b/src/minisketch/doc/plot_capacity.png
new file mode 100644
index 0000000000..b4f760da36
--- /dev/null
+++ b/src/minisketch/doc/plot_capacity.png
Binary files differ
diff --git a/src/minisketch/doc/plot_diff.png b/src/minisketch/doc/plot_diff.png
new file mode 100644
index 0000000000..08ab6a86b9
--- /dev/null
+++ b/src/minisketch/doc/plot_diff.png
Binary files differ
diff --git a/src/minisketch/doc/plot_size.png b/src/minisketch/doc/plot_size.png
new file mode 100644
index 0000000000..b21921776a
--- /dev/null
+++ b/src/minisketch/doc/plot_size.png
Binary files differ
diff --git a/src/minisketch/doc/protocoltips.md b/src/minisketch/doc/protocoltips.md
new file mode 100644
index 0000000000..610407ebc2
--- /dev/null
+++ b/src/minisketch/doc/protocoltips.md
@@ -0,0 +1,30 @@
+# Tips for designing protocols using `libminisketch`
+
+Sending a sketch is less efficient than just sending your whole set with efficient entropy coding if the number of differences is larger than *log<sub>2</sub>( 2<sup>b</sup> choose set_size ) / b*.
+
+In most applications your set can be hashed to entries just large enough to make the probability of collision negligible. This can be a considerable speedup and bandwidth savings. Short hashes (<128 bits) should be salted with an unpredictable value to prevent malicious inputs from intentionally causing collisions. Salting also allows an entry missed due to a collision to be reconciled on a later run with a different salt. Pre-hashing may not be possible in some applications, such as where there is only one-way communication, where the confidentiality of entry origin matters, or where security depends on the total absence of collisions.
+
+Some element sizes are faster to decode than others; see the benchmarks in the readme.
+
+Almost all the computational burden of reconciliation is in minisketch_decode(). Denial-of-service attacks can be mitigated by arranging protocol flow so that a party requests a sketch and decodes it rather than a construction where the participants will decode unsolicited sketches. Decode times can be constrained by limiting sketch capacity or via the max_count argument to minisketch_decode().
+
+In most cases you don't actually know the size of the set difference in advance, but often you know a lower bound on it (the difference in set sizes).
+
+* There are difference size estimation techniques such as min-wise hashing<sup>[[1]](#myfootnote1)</sup> or random projections<sup>[[2]](#myfootnote2)</sup>, but complex estimators can end up using more bandwidth than they save.
+
+* It may be useful to always overestimate the sketch size needed to amortize communications overheads (*e.g.* packet headers, round trip delays).
+
+* If the total data sent would end up leaving you better off having just sent the whole set, per above, then you can send the set in response to a failure but leave out as many elements as the size of the previously sent sketch. The receiver can decode the partial set and use the data they already have to complete it, reducing bandwidth waste.
+
+* Additional elements can be sent for a sketch as few as one at a time with little decode cost until enough data is received to decode. This is most easily implemented by always computing the largest sketch size and sending it incrementally as needed.
+
+* Because sketches are linear you can adaptively subdivide to decode an overfull set. The sender uses a hash function to select approximately half their set members and sends a sketch of those members. The receiver can do the same and combine the result with the initially sent sketch to get two sketches with roughly half the number of members and attempt to decode them. Repeat recursively on failure. This adaptive subdivision procedure makes decode time essentially linear at the cost of communications inefficiency. Minisketches can also be used as the cells in an IBLT for similar reasons.
+
+Less efficient reconciliation techniques like IBLT or adaptive subdivision, or overheads like complex estimators effectively lower the threshold where sending the whole set efficiently would use less bandwidth.
+
+When the number of differences is more than 2<sup>b/2-1</sup> an alternative sketch encoding is possible that is somewhat smaller, but requires a table of size 2<sup>b</sup>; contact the authors if you have an application where that might be useful.
+
+## References
+
+* <a name="myfootnote1">[1]</a> Broder, A. *On the Resemblance and Containment of Documents* Proceedings of the Compression and Complexity of Sequences 1997 [[PDF]](https://www.cs.princeton.edu/courses/archive/spring13/cos598C/broder97resemblance.pdf)
+* <a name="myfootnote2">[2]</a> Feigenbaum, Joan and Kannan, Sampath and Strauss, Martin J. and Viswanathan, Mahesh. *An Approximate L1-Difference Algorithm for Massive Data Streams* SIAM J. Comput. 2003 [[PDF]](http://www.cs.yale.edu/homes/jf/FKSV1.pdf)
diff --git a/src/minisketch/include/minisketch.h b/src/minisketch/include/minisketch.h
new file mode 100644
index 0000000000..0b5d8372e8
--- /dev/null
+++ b/src/minisketch/include/minisketch.h
@@ -0,0 +1,367 @@
+#ifndef _MINISKETCH_H_
+#define _MINISKETCH_H_ 1
+
+#include <stdint.h>
+#include <stdlib.h>
+
+#ifdef _MSC_VER
+# include <compat.h>
+#else
+# include <unistd.h>
+#endif
+
+#ifndef MINISKETCH_API
+# if defined(_WIN32)
+# ifdef MINISKETCH_BUILD
+# define MINISKETCH_API __declspec(dllexport)
+# else
+# define MINISKETCH_API
+# endif
+# elif defined(__GNUC__) && (__GNUC__ >= 4) && defined(MINISKETCH_BUILD)
+# define MINISKETCH_API __attribute__ ((visibility ("default")))
+# else
+# define MINISKETCH_API
+# endif
+#endif
+
+#ifdef __cplusplus
+# if __cplusplus >= 201103L
+# include <memory>
+# include <vector>
+# include <cassert>
+# if __cplusplus >= 201703L
+# include <optional>
+# endif // __cplusplus >= 201703L
+# endif // __cplusplus >= 201103L
+extern "C" {
+#endif // __cplusplus
+
+/** Opaque type for decoded sketches. */
+typedef struct minisketch minisketch;
+
+/** Determine whether support for elements of `bits` bits was compiled in. */
+MINISKETCH_API int minisketch_bits_supported(uint32_t bits);
+
+/** Determine the maximum number of implementations available.
+ *
+ * Multiple implementations may be available for a given element size, with
+ * different performance characteristics on different hardware.
+ *
+ * Each implementation is identified by a number from 0 to the output of this
+ * function call, inclusive. Note that not every combination of implementation
+ * and element size may exist (see further).
+*/
+MINISKETCH_API uint32_t minisketch_implementation_max(void);
+
+/** Determine if the a combination of bits and implementation number is available.
+ *
+ * Returns 1 if it is, 0 otherwise.
+ */
+MINISKETCH_API int minisketch_implementation_supported(uint32_t bits, uint32_t implementation);
+
+/** Construct a sketch for a given element size, implementation and capacity.
+ *
+ * If the combination of `bits` and `implementation` is unavailable, or when
+ * OOM occurs, NULL is returned. If minisketch_implementation_supported
+ * returns 1 for the specified bits and implementation, this will always succeed
+ * (except when allocation fails).
+ *
+ * If the result is not NULL, it must be destroyed using minisketch_destroy.
+ */
+MINISKETCH_API minisketch* minisketch_create(uint32_t bits, uint32_t implementation, size_t capacity);
+
+/** Get the element size of a sketch in bits. */
+MINISKETCH_API uint32_t minisketch_bits(const minisketch* sketch);
+
+/** Get the capacity of a sketch. */
+MINISKETCH_API size_t minisketch_capacity(const minisketch* sketch);
+
+/** Get the implementation of a sketch. */
+MINISKETCH_API uint32_t minisketch_implementation(const minisketch* sketch);
+
+/** Set the seed for randomizing algorithm choices to a fixed value.
+ *
+ * By default, sketches are initialized with a random seed. This is important
+ * to avoid scenarios where an attacker could force worst-case behavior.
+ *
+ * This function initializes the seed to a user-provided value (any 64-bit
+ * integer is acceptable, regardless of field size).
+ *
+ * When seed is -1, a fixed internal value with predictable behavior is
+ * used. It is only intended for testing.
+ */
+MINISKETCH_API void minisketch_set_seed(minisketch* sketch, uint64_t seed);
+
+/** Clone a sketch.
+ *
+ * The result must be destroyed using minisketch_destroy.
+ */
+MINISKETCH_API minisketch* minisketch_clone(const minisketch* sketch);
+
+/** Destroy a sketch.
+ *
+ * The pointer that was passed in may not be used anymore afterwards.
+ */
+MINISKETCH_API void minisketch_destroy(minisketch* sketch);
+
+/** Compute the size in bytes for serializing a given sketch. */
+MINISKETCH_API size_t minisketch_serialized_size(const minisketch* sketch);
+
+/** Serialize a sketch to bytes. */
+MINISKETCH_API void minisketch_serialize(const minisketch* sketch, unsigned char* output);
+
+/** Deserialize a sketch from bytes. */
+MINISKETCH_API void minisketch_deserialize(minisketch* sketch, const unsigned char* input);
+
+/** Add an element to a sketch.
+ *
+ * If the element to be added is too large for the sketch, the most significant
+ * bits of the element are dropped. More precisely, if the element size of
+ * `sketch` is b bits, then this function adds the unsigned integer represented
+ * by the b least significant bits of `element` to `sketch`.
+ *
+ * If the element to be added is 0 (after potentially dropping the most significant
+ * bits), then this function is a no-op. Sketches cannot contain an element with
+ * the value 0.
+ *
+ * Note that adding the same element a second time removes it again.
+ */
+MINISKETCH_API void minisketch_add_uint64(minisketch* sketch, uint64_t element);
+
+/** Merge the elements of another sketch into this sketch.
+ *
+ * After merging, `sketch` will contain every element that existed in one but not
+ * both of the input sketches. It can be seen as an exclusive or operation on
+ * the set elements. If the capacity of `other_sketch` is lower than `sketch`'s,
+ * merging reduces the capacity of `sketch` to that of `other_sketch`.
+ *
+ * This function returns the capacity of `sketch` after merging has been performed
+ * (where this capacity is at least 1), or 0 to indicate that merging has failed because
+ * the two input sketches differ in their element size or implementation. If 0 is
+ * returned, `sketch` (and its capacity) have not been modified.
+ *
+ * It is also possible to perform this operation directly on the serializations
+ * of two sketches with the same element size and capacity by performing a bitwise XOR
+ * of the serializations.
+ */
+MINISKETCH_API size_t minisketch_merge(minisketch* sketch, const minisketch* other_sketch);
+
+/** Decode a sketch.
+ *
+ * `output` is a pointer to an array of `max_element` uint64_t's, which will be
+ * filled with the elements in this sketch.
+ *
+ * The return value is the number of decoded elements, or -1 if decoding failed.
+ */
+MINISKETCH_API ssize_t minisketch_decode(const minisketch* sketch, size_t max_elements, uint64_t* output);
+
+/** Compute the capacity needed to achieve a certain rate of false positives.
+ *
+ * A sketch with capacity c and no more than c elements can always be decoded
+ * correctly. However, if it has more than c elements, or contains just random
+ * bytes, it is possible that it will still decode, but the result will be
+ * nonsense. This can be counteracted by increasing the capacity slightly.
+ *
+ * Given a field size bits, an intended number of elements that can be decoded
+ * max_elements, and a false positive probability of 1 in 2**fpbits, this
+ * function computes the necessary capacity. It is only guaranteed to be
+ * accurate up to fpbits=256.
+ */
+MINISKETCH_API size_t minisketch_compute_capacity(uint32_t bits, size_t max_elements, uint32_t fpbits);
+
+/** Compute what max_elements can be decoded for a certain rate of false positives.
+ *
+ * This is the inverse operation of minisketch_compute_capacity. It determines,
+ * given a field size bits, a capacity of a sketch, and an acceptable false
+ * positive probability of 1 in 2**fpbits, what the maximum allowed
+ * max_elements value is. If no value of max_elements would give the desired
+ * false positive probability, 0 is returned.
+ *
+ * Note that this is not an exact inverse of minisketch_compute_capacity. For
+ * example, with bits=32, fpbits=16, and max_elements=8,
+ * minisketch_compute_capacity will return 9, as capacity 8 would only have a
+ * false positive chance of 1 in 2^15.3. Increasing the capacity to 9 however
+ * decreases the fp chance to 1 in 2^47.3, enough for max_elements=9 (with fp
+ * chance of 1 in 2^18.5). Therefore, minisketch_compute_max_elements with
+ * capacity=9 will return 9.
+ */
+MINISKETCH_API size_t minisketch_compute_max_elements(uint32_t bits, size_t capacity, uint32_t fpbits);
+
+#ifdef __cplusplus
+}
+
+#if __cplusplus >= 201103L
+/** Simple RAII C++11 wrapper around the minisketch API. */
+class Minisketch
+{
+ struct Deleter
+ {
+ void operator()(minisketch* ptr) const
+ {
+ minisketch_destroy(ptr);
+ }
+ };
+
+ std::unique_ptr<minisketch, Deleter> m_minisketch;
+
+public:
+ /** Check whether the library supports fields of the given size. */
+ static bool BitsSupported(uint32_t bits) noexcept { return minisketch_bits_supported(bits); }
+
+ /** Get the highest supported implementation number. */
+ static uint32_t MaxImplementation() noexcept { return minisketch_implementation_max(); }
+
+ /** Check whether the library supports fields with a given size and implementation number.
+ * If a particular field size `bits` is supported, implementation 0 is always supported for it.
+ * Higher implementation numbers may or may not be available as well, up to MaxImplementation().
+ */
+ static bool ImplementationSupported(uint32_t bits, uint32_t implementation) noexcept { return minisketch_implementation_supported(bits, implementation); }
+
+ /** Given field size and a maximum number of decodable elements n, compute what capacity c to
+ * use so that sketches with more elements than n have a chance no higher than 2^-fpbits of
+ * being decoded incorrectly (and will instead fail when decoding for up to n elements).
+ *
+ * See minisketch_compute_capacity for more details. */
+ static size_t ComputeCapacity(uint32_t bits, size_t max_elements, uint32_t fpbits) noexcept { return minisketch_compute_capacity(bits, max_elements, fpbits); }
+
+ /** Reverse operation of ComputeCapacity. See minisketch_compute_max_elements. */
+ static size_t ComputeMaxElements(uint32_t bits, size_t capacity, uint32_t fpbits) noexcept { return minisketch_compute_max_elements(bits, capacity, fpbits); }
+
+ /** Construct a clone of the specified sketch. */
+ Minisketch(const Minisketch& sketch) noexcept
+ {
+ if (sketch.m_minisketch) {
+ m_minisketch = std::unique_ptr<minisketch, Deleter>(minisketch_clone(sketch.m_minisketch.get()));
+ }
+ }
+
+ /** Make this Minisketch a clone of the specified one. */
+ Minisketch& operator=(const Minisketch& sketch) noexcept
+ {
+ if (sketch.m_minisketch) {
+ m_minisketch = std::unique_ptr<minisketch, Deleter>(minisketch_clone(sketch.m_minisketch.get()));
+ }
+ return *this;
+ }
+
+ /** Check whether this Minisketch object is valid. */
+ explicit operator bool() const noexcept { return bool{m_minisketch}; }
+
+ /** Construct an (invalid) Minisketch object. */
+ Minisketch() noexcept = default;
+
+ /** Move constructor. */
+ Minisketch(Minisketch&&) noexcept = default;
+
+ /** Move assignment. */
+ Minisketch& operator=(Minisketch&&) noexcept = default;
+
+ /** Construct a Minisketch object with the specified parameters.
+ *
+ * If bits is not BitsSupported(), or the combination of bits and capacity is not
+ * ImplementationSupported(), or OOM occurs internally, an invalid Minisketch
+ * object will be constructed. Use operator bool() to check that this isn't the
+ * case before performing any other operations. */
+ Minisketch(uint32_t bits, uint32_t implementation, size_t capacity) noexcept
+ {
+ m_minisketch = std::unique_ptr<minisketch, Deleter>(minisketch_create(bits, implementation, capacity));
+ }
+
+ /** Create a Minisketch object sufficiently large for the specified number of elements at given fpbits.
+ * It may construct an invalid object, which you may need to check for. */
+ static Minisketch CreateFP(uint32_t bits, uint32_t implementation, size_t max_elements, uint32_t fpbits) noexcept
+ {
+ return Minisketch(bits, implementation, ComputeCapacity(bits, max_elements, fpbits));
+ }
+
+ /** Return the field size for a (valid) Minisketch object. */
+ uint32_t GetBits() const noexcept { return minisketch_bits(m_minisketch.get()); }
+
+ /** Return the capacity for a (valid) Minisketch object. */
+ size_t GetCapacity() const noexcept { return minisketch_capacity(m_minisketch.get()); }
+
+ /** Return the implementation number for a (valid) Minisketch object. */
+ uint32_t GetImplementation() const noexcept { return minisketch_implementation(m_minisketch.get()); }
+
+ /** Set the seed for a (valid) Minisketch object. See minisketch_set_seed(). */
+ Minisketch& SetSeed(uint64_t seed) noexcept
+ {
+ minisketch_set_seed(m_minisketch.get(), seed);
+ return *this;
+ }
+
+ /** Add (or remove, if already present) an element to a (valid) Minisketch object.
+ * See minisketch_add_uint64(). */
+ Minisketch& Add(uint64_t element) noexcept
+ {
+ minisketch_add_uint64(m_minisketch.get(), element);
+ return *this;
+ }
+
+ /** Merge sketch into *this; both have to be valid Minisketch objects.
+ * See minisketch_merge for details. */
+ Minisketch& Merge(const Minisketch& sketch) noexcept
+ {
+ minisketch_merge(m_minisketch.get(), sketch.m_minisketch.get());
+ return *this;
+ }
+
+ /** Decode this (valid) Minisketch object into the result vector, up to as many elements as the
+ * vector's size permits. */
+ bool Decode(std::vector<uint64_t>& result) const
+ {
+ ssize_t ret = minisketch_decode(m_minisketch.get(), result.size(), result.data());
+ if (ret == -1) return false;
+ result.resize(ret);
+ return true;
+ }
+
+ /** Get the serialized size in bytes for this (valid) Minisketch object.. */
+ size_t GetSerializedSize() const noexcept { return minisketch_serialized_size(m_minisketch.get()); }
+
+ /** Serialize this (valid) Minisketch object as a byte vector. */
+ std::vector<unsigned char> Serialize() const
+ {
+ std::vector<unsigned char> result(GetSerializedSize());
+ minisketch_serialize(m_minisketch.get(), result.data());
+ return result;
+ }
+
+ /** Deserialize into this (valid) Minisketch from an object containing its bytes (which has data()
+ * and size() members). */
+ template<typename T>
+ Minisketch& Deserialize(
+ const T& obj,
+ typename std::enable_if<
+ std::is_convertible<typename std::remove_pointer<decltype(obj.data())>::type (*)[], const unsigned char (*)[]>::value &&
+ std::is_convertible<decltype(obj.size()), std::size_t>::value,
+ std::nullptr_t
+ >::type = nullptr) noexcept
+ {
+ assert(GetSerializedSize() == obj.size());
+ minisketch_deserialize(m_minisketch.get(), obj.data());
+ return *this;
+ }
+
+#if __cplusplus >= 201703L
+ /** C++17 only: like Decode(), but up to a specified number of elements into an optional vector. */
+ std::optional<std::vector<uint64_t>> Decode(size_t max_elements) const
+ {
+ std::vector<uint64_t> result(max_elements);
+ ssize_t ret = minisketch_decode(m_minisketch.get(), max_elements, result.data());
+ if (ret == -1) return {};
+ result.resize(ret);
+ return result;
+ }
+
+ /** C++17 only: similar to Decode(), but with specified false positive probability. */
+ std::optional<std::vector<uint64_t>> DecodeFP(uint32_t fpbits) const
+ {
+ return Decode(ComputeMaxElements(GetBits(), GetCapacity(), fpbits));
+ }
+#endif // __cplusplus >= 201703L
+};
+#endif // __cplusplus >= 201103L
+#endif // __cplusplus
+
+#endif // _MINISKETCH_H_
diff --git a/src/minisketch/sources.mk b/src/minisketch/sources.mk
new file mode 100644
index 0000000000..386a4fcc23
--- /dev/null
+++ b/src/minisketch/sources.mk
@@ -0,0 +1,58 @@
+# - All variables are namespaced with MINISKETCH_ to avoid colliding with
+# downstream makefiles.
+# - All Variables ending in _HEADERS or _SOURCES confuse automake, so the
+# _INT postfix is applied.
+# - Convenience variables, for example a MINISKETCH_FIELDS_DIR should not be used
+# as they interfere with automatic dependency generation
+# - The %reldir% is the relative path from the Makefile.am. This allows
+# downstreams to use these variables without having to manually account for
+# the path change.
+
+MINISKETCH_INCLUDE_DIR_INT = %reldir%/include
+
+MINISKETCH_DIST_HEADERS_INT =
+MINISKETCH_DIST_HEADERS_INT += %reldir%/include/minisketch.h
+
+MINISKETCH_LIB_HEADERS_INT =
+MINISKETCH_LIB_HEADERS_INT += %reldir%/src/false_positives.h
+MINISKETCH_LIB_HEADERS_INT += %reldir%/src/fielddefines.h
+MINISKETCH_LIB_HEADERS_INT += %reldir%/src/int_utils.h
+MINISKETCH_LIB_HEADERS_INT += %reldir%/src/lintrans.h
+MINISKETCH_LIB_HEADERS_INT += %reldir%/src/sketch.h
+MINISKETCH_LIB_HEADERS_INT += %reldir%/src/sketch_impl.h
+MINISKETCH_LIB_HEADERS_INT += %reldir%/src/util.h
+
+MINISKETCH_LIB_SOURCES_INT =
+MINISKETCH_LIB_SOURCES_INT += %reldir%/src/minisketch.cpp
+
+MINISKETCH_FIELD_GENERIC_HEADERS_INT =
+MINISKETCH_FIELD_GENERIC_HEADERS_INT += %reldir%/src/fields/generic_common_impl.h
+
+MINISKETCH_FIELD_GENERIC_SOURCES_INT =
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_1byte.cpp
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_2bytes.cpp
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_3bytes.cpp
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_4bytes.cpp
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_5bytes.cpp
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_6bytes.cpp
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_7bytes.cpp
+MINISKETCH_FIELD_GENERIC_SOURCES_INT += %reldir%/src/fields/generic_8bytes.cpp
+
+MINISKETCH_FIELD_CLMUL_HEADERS_INT =
+MINISKETCH_FIELD_CLMUL_HEADERS_INT += %reldir%/src/fields/clmul_common_impl.h
+
+MINISKETCH_FIELD_CLMUL_SOURCES_INT =
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_1byte.cpp
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_2bytes.cpp
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_3bytes.cpp
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_4bytes.cpp
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_5bytes.cpp
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_6bytes.cpp
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_7bytes.cpp
+MINISKETCH_FIELD_CLMUL_SOURCES_INT += %reldir%/src/fields/clmul_8bytes.cpp
+
+MINISKETCH_BENCH_SOURCES_INT =
+MINISKETCH_BENCH_SOURCES_INT += %reldir%/src/bench.cpp
+
+MINISKETCH_TEST_SOURCES_INT =
+MINISKETCH_TEST_SOURCES_INT += %reldir%/src/test.cpp
diff --git a/src/minisketch/src/bench.cpp b/src/minisketch/src/bench.cpp
new file mode 100644
index 0000000000..f55944a448
--- /dev/null
+++ b/src/minisketch/src/bench.cpp
@@ -0,0 +1,122 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include "../include/minisketch.h"
+#include <string.h>
+#include <memory>
+#include <vector>
+#include <chrono>
+#include <random>
+#include <set>
+#include <algorithm>
+
+int main(int argc, char** argv) {
+ if (argc < 1 || argc > 4) {
+ printf("Usage: %s [syndromes=150] [errors=syndromes] [iters=10]\n", argv[0]);
+ return 1;
+ }
+ int syndromes = argc > 1 ? strtoul(argv[1], NULL, 10) : 150;
+ int errors = argc > 2 ? strtoul(argv[2], NULL, 10) : syndromes;
+ int iters = argc > 3 ? strtoul(argv[3], NULL, 10) : 10;
+ if (syndromes < 0 || syndromes > 1000000) {
+ printf("Number of syndromes (%i) out of range 0..1000000\n", syndromes);
+ return 1;
+ }
+ if (errors < 0) {
+ printf("Number of errors (%i) is negative(%i)\n", errors, syndromes);
+ return 1;
+ }
+ if (iters < 0 || iters > 1000000000) {
+ printf("Number of iterations (%i) out of range 0..1000000000\n", iters);
+ return 1;
+ }
+ uint32_t max_impl = minisketch_implementation_max();
+ for (int bits = 2; bits <= 64; ++bits) {
+ if (errors > pow(2.0, bits - 1)) continue;
+ if (!minisketch_bits_supported(bits)) continue;
+ printf("recover[ms]\t% 3i\t", bits);
+ for (uint32_t impl = 0; impl <= max_impl; ++impl) {
+ std::vector<minisketch*> states;
+ std::vector<uint64_t> roots(2 * syndromes);
+ std::random_device rng;
+ std::uniform_int_distribution<uint64_t> dist(1, (uint64_t(1) << bits) - 1);
+ states.resize(iters);
+ std::vector<double> benches;
+ benches.reserve(iters);
+ for (int i = 0; i < iters; ++i) {
+ states[i] = minisketch_create(bits, impl, syndromes);
+ if (!states[i]) break;
+ std::set<uint64_t> done;
+ for (int j = 0; j < errors; ++j) {
+ uint64_t r;
+ do {
+ r = dist(rng);
+ } while (done.count(r));
+ done.insert(r);
+ minisketch_add_uint64(states[i], r);
+ }
+ }
+ if (!states[0]) {
+ printf(" -\t");
+ } else {
+ double total = 0.0;
+ for (auto& state : states) {
+ auto start = std::chrono::steady_clock::now();
+ minisketch_decode(state, 2 * syndromes, roots.data());
+ auto stop = std::chrono::steady_clock::now();
+ std::chrono::duration<double> dur(stop - start);
+ total += dur.count();
+ benches.push_back(dur.count());
+ }
+ std::sort(benches.begin(), benches.end());
+ printf("% 10.5f\t", benches[0] * 1000.0);
+ }
+ for (auto& state : states) {
+ minisketch_destroy(state);
+ }
+ }
+ printf("\n");
+ printf("create[ns]\t% 3i\t", bits);
+ for (uint32_t impl = 0; impl <= max_impl; ++impl) {
+ std::vector<minisketch*> states;
+ std::random_device rng;
+ std::uniform_int_distribution<uint64_t> dist;
+ std::vector<uint64_t> data;
+ data.resize(errors * 10);
+ states.resize(iters);
+ std::vector<double> benches;
+ benches.reserve(iters);
+ for (int i = 0; i < iters; ++i) {
+ states[i] = minisketch_create(bits, impl, syndromes);
+ }
+ for (size_t i = 0; i < data.size(); ++i) {
+ data[i] = dist(rng);
+ }
+ if (!states[0]) {
+ printf(" -\t");
+ } else {
+ double total = 0.0;
+ for (auto& state : states) {
+ auto start = std::chrono::steady_clock::now();
+ for (auto val : data) {
+ minisketch_add_uint64(state, val);
+ }
+ auto stop = std::chrono::steady_clock::now();
+ std::chrono::duration<double> dur(stop - start);
+ total += dur.count();
+ benches.push_back(dur.count());
+ }
+ std::sort(benches.begin(), benches.end());
+ printf("% 10.5f\t", benches[0] * 1000000000.0 / data.size() / syndromes);
+ }
+ for (auto& state : states) {
+ minisketch_destroy(state);
+ }
+ }
+ printf("\n");
+ }
+ return 0;
+}
diff --git a/src/minisketch/src/false_positives.h b/src/minisketch/src/false_positives.h
new file mode 100644
index 0000000000..44ebb3e94c
--- /dev/null
+++ b/src/minisketch/src/false_positives.h
@@ -0,0 +1,110 @@
+/**********************************************************************
+ * Copyright (c) 2020 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_FALSE_POSITIVES_H_
+#define _MINISKETCH_FALSE_POSITIVES_H_
+
+#include "util.h"
+
+#include "int_utils.h"
+
+#include <stdint.h>
+
+namespace {
+
+/** Compute floor(log2(x!)), exactly up to x=57; an underestimate up to x=2^32-1. */
+uint64_t Log2Factorial(uint32_t x) {
+ //! Values of floor(106*log2(1 + i/32)) for i=0..31
+ static constexpr uint8_t T[32] = {
+ 0, 4, 9, 13, 18, 22, 26, 30, 34, 37, 41, 45, 48, 52, 55, 58, 62, 65, 68,
+ 71, 74, 77, 80, 82, 85, 88, 90, 93, 96, 98, 101, 103
+ };
+ int bits = CountBits(x, 32);
+ // Compute an (under)estimate of floor(106*log2(x)).
+ // This works by relying on floor(log2(x)) = countbits(x)-1, and adding
+ // precision using the top 6 bits of x (the highest one of which is always
+ // one).
+ unsigned l2_106 = 106 * (bits - 1) + T[((x << (32 - bits)) >> 26) & 31];
+ // Based on Stirling approximation for log2(x!):
+ // log2(x!) = log(x!) / log(2)
+ // = ((x + 1/2) * log(x) - x + log(2*pi)/2 + ...) / log(2)
+ // = (x + 1/2) * log2(x) - x/log(2) + log2(2*pi)/2 + ...
+ // = 1/2*(2*x+1)*log2(x) - (1/log(2))*x + log2(2*pi)/2 + ...
+ // = 1/212*(2*x+1)*(106*log2(x)) + (-1/log(2))*x + log2(2*pi)/2 + ...
+ // where 418079/88632748 is exactly 1/212
+ // -127870026/88632748 is slightly less than -1/log(2)
+ // 117504694/88632748 is less than log2(2*pi)/2
+ // A correction term is only needed for x < 3.
+ //
+ // See doc/log2_factorial.sage for how these constants were obtained.
+ return (418079 * (2 * uint64_t{x} + 1) * l2_106 - 127870026 * uint64_t{x} + 117504694 + 88632748 * (x < 3)) / 88632748;
+}
+
+/** Compute floor(log2(2^(bits * capacity) / sum((2^bits - 1) choose k, k=0..capacity))), for bits>1
+ *
+ * See doc/gen_basefpbits.sage for how the tables were obtained. */
+uint64_t BaseFPBits(uint32_t bits, uint32_t capacity) {
+ // Correction table for low bits/capacities
+ static constexpr uint8_t ADD5[] = {1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 7, 8, 8, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12};
+ static constexpr uint8_t ADD6[] = {1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 6, 6, 6, 7, 8, 8, 10, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 20, 21, 21, 22, 22, 23, 23, 23, 24, 24, 24, 24};
+ static constexpr uint8_t ADD7[] = {1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 15, 15, 15, 16, 17, 17, 18, 19, 20, 20};
+ static constexpr uint8_t ADD8[] = {1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9};
+ static constexpr uint8_t ADD9[] = {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4};
+
+ if (capacity == 0) return 0;
+ uint64_t ret = 0;
+ if (bits < 32 && capacity >= (1U << bits)) {
+ ret = uint64_t{bits} * (capacity - (1U << bits) + 1);
+ capacity = (1U << bits) - 1;
+ }
+ ret += Log2Factorial(capacity);
+ switch (bits) {
+ case 2: return ret + (capacity <= 2 ? 0 : 1);
+ case 3: return ret + (capacity <= 2 ? 0 : (0x2a5 >> 2 * (capacity - 3)) & 3);
+ case 4: return ret + (capacity <= 3 ? 0 : (0xb6d91a449 >> 3 * (capacity - 4)) & 7);
+ case 5: return ret + (capacity <= 4 ? 0 : ADD5[capacity - 5]);
+ case 6: return ret + (capacity <= 4 ? 0 : capacity > 54 ? 25 : ADD6[capacity - 5]);
+ case 7: return ret + (capacity <= 4 ? 0 : capacity > 57 ? 21 : ADD7[capacity - 5]);
+ case 8: return ret + (capacity <= 9 ? 0 : capacity > 56 ? 10 : ADD8[capacity - 10]);
+ case 9: return ret + (capacity <= 11 ? 0 : capacity > 54 ? 5 : ADD9[capacity - 12]);
+ case 10: return ret + (capacity <= 21 ? 0 : capacity > 50 ? 2 : (0x1a6665545555041 >> 2 * (capacity - 22)) & 3);
+ case 11: return ret + (capacity <= 21 ? 0 : capacity > 45 ? 1 : (0x5b3dc1 >> (capacity - 22)) & 1);
+ case 12: return ret + (capacity <= 21 ? 0 : capacity > 57 ? 0 : (0xe65522041 >> (capacity - 22)) & 1);
+ case 13: return ret + (capacity <= 27 ? 0 : capacity > 55 ? 0 : (0x8904081 >> (capacity - 28)) & 1);
+ case 14: return ret + (capacity <= 47 ? 0 : capacity > 48 ? 0 : 1);
+ default: return ret;
+ }
+}
+
+size_t ComputeCapacity(uint32_t bits, size_t max_elements, uint32_t fpbits) {
+ if (bits == 0) return 0;
+ uint64_t base_fpbits = BaseFPBits(bits, max_elements);
+ // The fpbits provided by the base max_elements==capacity case are sufficient.
+ if (base_fpbits >= fpbits) return max_elements;
+ // Otherwise, increment capacity by ceil(fpbits / bits) beyond that.
+ return max_elements + (fpbits - base_fpbits + bits - 1) / bits;
+}
+
+size_t ComputeMaxElements(uint32_t bits, size_t capacity, uint32_t fpbits) {
+ if (bits == 0) return 0;
+ // Start with max_elements=capacity, and decrease max_elements until the corresponding capacity is capacity.
+ size_t max_elements = capacity;
+ while (true) {
+ size_t capacity_for_max_elements = ComputeCapacity(bits, max_elements, fpbits);
+ CHECK_SAFE(capacity_for_max_elements >= capacity);
+ if (capacity_for_max_elements <= capacity) return max_elements;
+ size_t adjust = capacity_for_max_elements - capacity;
+ // Decrementing max_elements by N will at most decrement the corresponding capacity by N.
+ // As the observed capacity is adjust too high, we can safely decrease max_elements by adjust.
+ // If that brings us into negative max_elements territory, no solution exists and we return 0.
+ if (max_elements < adjust) return 0;
+ max_elements -= adjust;
+ }
+}
+
+} // namespace
+
+#endif
diff --git a/src/minisketch/src/fielddefines.h b/src/minisketch/src/fielddefines.h
new file mode 100644
index 0000000000..510cb81f42
--- /dev/null
+++ b/src/minisketch/src/fielddefines.h
@@ -0,0 +1,560 @@
+/**********************************************************************
+ * Copyright (c) 2021 Cory Fields *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_FIELDDEFINES_H_
+#define _MINISKETCH_FIELDDEFINES_H_
+
+/*
+
+This file translates external defines ENABLE_FIELD_FOO, DISABLE_FIELD_FOO, and
+DISABLE_DEFAULT_FIELDS to internal ones: ENABLE_FIELD_INT_FOO. Only the
+resulting internal includes should be used.
+
+Default: All fields enabled
+-DDISABLE_FIELD_3: All fields except 3 are enabled
+-DENABLE_FIELD_3: All fields enabled
+-DDISABLE_DEFAULT_FIELDS: Error, no fields enabled
+-DDISABLE_DEFAULT_FIELDS -DENABLE_FIELD_3: Only field 3 enabled
+-DDISABLE_DEFAULT_FIELDS -DENABLE_FIELD_2 -DENABLE_FIELD_3: Only fields 2 and 3 are enabled
+-DDISABLE_DEFAULT_FIELDS -DENABLE_FIELD_2 -DENABLE_FIELD_3 -DDISABLE_FIELD_3: Only field 2 enabled
+
+*/
+
+#ifdef DISABLE_DEFAULT_FIELDS
+#if defined(ENABLE_FIELD_2) && !defined(DISABLE_FIELD_2)
+#define ENABLE_FIELD_INT_2
+#endif
+#if defined(ENABLE_FIELD_3) && !defined(DISABLE_FIELD_3)
+#define ENABLE_FIELD_INT_3
+#endif
+#if defined(ENABLE_FIELD_4) && !defined(DISABLE_FIELD_4)
+#define ENABLE_FIELD_INT_4
+#endif
+#if defined(ENABLE_FIELD_5) && !defined(DISABLE_FIELD_5)
+#define ENABLE_FIELD_INT_5
+#endif
+#if defined(ENABLE_FIELD_6) && !defined(DISABLE_FIELD_6)
+#define ENABLE_FIELD_INT_6
+#endif
+#if defined(ENABLE_FIELD_7) && !defined(DISABLE_FIELD_7)
+#define ENABLE_FIELD_INT_7
+#endif
+#if defined(ENABLE_FIELD_8) && !defined(DISABLE_FIELD_8)
+#define ENABLE_FIELD_INT_8
+#endif
+#if defined(ENABLE_FIELD_9) && !defined(DISABLE_FIELD_9)
+#define ENABLE_FIELD_INT_9
+#endif
+#if defined(ENABLE_FIELD_10) && !defined(DISABLE_FIELD_10)
+#define ENABLE_FIELD_INT_10
+#endif
+#if defined(ENABLE_FIELD_11) && !defined(DISABLE_FIELD_11)
+#define ENABLE_FIELD_INT_11
+#endif
+#if defined(ENABLE_FIELD_12) && !defined(DISABLE_FIELD_12)
+#define ENABLE_FIELD_INT_12
+#endif
+#if defined(ENABLE_FIELD_13) && !defined(DISABLE_FIELD_13)
+#define ENABLE_FIELD_INT_13
+#endif
+#if defined(ENABLE_FIELD_14) && !defined(DISABLE_FIELD_14)
+#define ENABLE_FIELD_INT_14
+#endif
+#if defined(ENABLE_FIELD_15) && !defined(DISABLE_FIELD_15)
+#define ENABLE_FIELD_INT_15
+#endif
+#if defined(ENABLE_FIELD_16) && !defined(DISABLE_FIELD_16)
+#define ENABLE_FIELD_INT_16
+#endif
+#if defined(ENABLE_FIELD_17) && !defined(DISABLE_FIELD_17)
+#define ENABLE_FIELD_INT_17
+#endif
+#if defined(ENABLE_FIELD_18) && !defined(DISABLE_FIELD_18)
+#define ENABLE_FIELD_INT_18
+#endif
+#if defined(ENABLE_FIELD_19) && !defined(DISABLE_FIELD_19)
+#define ENABLE_FIELD_INT_19
+#endif
+#if defined(ENABLE_FIELD_20) && !defined(DISABLE_FIELD_20)
+#define ENABLE_FIELD_INT_20
+#endif
+#if defined(ENABLE_FIELD_21) && !defined(DISABLE_FIELD_21)
+#define ENABLE_FIELD_INT_21
+#endif
+#if defined(ENABLE_FIELD_22) && !defined(DISABLE_FIELD_22)
+#define ENABLE_FIELD_INT_22
+#endif
+#if defined(ENABLE_FIELD_23) && !defined(DISABLE_FIELD_23)
+#define ENABLE_FIELD_INT_23
+#endif
+#if defined(ENABLE_FIELD_24) && !defined(DISABLE_FIELD_24)
+#define ENABLE_FIELD_INT_24
+#endif
+#if defined(ENABLE_FIELD_25) && !defined(DISABLE_FIELD_25)
+#define ENABLE_FIELD_INT_25
+#endif
+#if defined(ENABLE_FIELD_26) && !defined(DISABLE_FIELD_26)
+#define ENABLE_FIELD_INT_26
+#endif
+#if defined(ENABLE_FIELD_27) && !defined(DISABLE_FIELD_27)
+#define ENABLE_FIELD_INT_27
+#endif
+#if defined(ENABLE_FIELD_28) && !defined(DISABLE_FIELD_28)
+#define ENABLE_FIELD_INT_28
+#endif
+#if defined(ENABLE_FIELD_29) && !defined(DISABLE_FIELD_29)
+#define ENABLE_FIELD_INT_29
+#endif
+#if defined(ENABLE_FIELD_30) && !defined(DISABLE_FIELD_30)
+#define ENABLE_FIELD_INT_30
+#endif
+#if defined(ENABLE_FIELD_31) && !defined(DISABLE_FIELD_31)
+#define ENABLE_FIELD_INT_31
+#endif
+#if defined(ENABLE_FIELD_32) && !defined(DISABLE_FIELD_32)
+#define ENABLE_FIELD_INT_32
+#endif
+#if defined(ENABLE_FIELD_33) && !defined(DISABLE_FIELD_33)
+#define ENABLE_FIELD_INT_33
+#endif
+#if defined(ENABLE_FIELD_34) && !defined(DISABLE_FIELD_34)
+#define ENABLE_FIELD_INT_34
+#endif
+#if defined(ENABLE_FIELD_35) && !defined(DISABLE_FIELD_35)
+#define ENABLE_FIELD_INT_35
+#endif
+#if defined(ENABLE_FIELD_36) && !defined(DISABLE_FIELD_36)
+#define ENABLE_FIELD_INT_36
+#endif
+#if defined(ENABLE_FIELD_37) && !defined(DISABLE_FIELD_37)
+#define ENABLE_FIELD_INT_37
+#endif
+#if defined(ENABLE_FIELD_38) && !defined(DISABLE_FIELD_38)
+#define ENABLE_FIELD_INT_38
+#endif
+#if defined(ENABLE_FIELD_39) && !defined(DISABLE_FIELD_39)
+#define ENABLE_FIELD_INT_39
+#endif
+#if defined(ENABLE_FIELD_40) && !defined(DISABLE_FIELD_40)
+#define ENABLE_FIELD_INT_40
+#endif
+#if defined(ENABLE_FIELD_41) && !defined(DISABLE_FIELD_41)
+#define ENABLE_FIELD_INT_41
+#endif
+#if defined(ENABLE_FIELD_42) && !defined(DISABLE_FIELD_42)
+#define ENABLE_FIELD_INT_42
+#endif
+#if defined(ENABLE_FIELD_43) && !defined(DISABLE_FIELD_43)
+#define ENABLE_FIELD_INT_43
+#endif
+#if defined(ENABLE_FIELD_44) && !defined(DISABLE_FIELD_44)
+#define ENABLE_FIELD_INT_44
+#endif
+#if defined(ENABLE_FIELD_45) && !defined(DISABLE_FIELD_45)
+#define ENABLE_FIELD_INT_45
+#endif
+#if defined(ENABLE_FIELD_46) && !defined(DISABLE_FIELD_46)
+#define ENABLE_FIELD_INT_46
+#endif
+#if defined(ENABLE_FIELD_47) && !defined(DISABLE_FIELD_47)
+#define ENABLE_FIELD_INT_47
+#endif
+#if defined(ENABLE_FIELD_48) && !defined(DISABLE_FIELD_48)
+#define ENABLE_FIELD_INT_48
+#endif
+#if defined(ENABLE_FIELD_49) && !defined(DISABLE_FIELD_49)
+#define ENABLE_FIELD_INT_49
+#endif
+#if defined(ENABLE_FIELD_50) && !defined(DISABLE_FIELD_50)
+#define ENABLE_FIELD_INT_50
+#endif
+#if defined(ENABLE_FIELD_51) && !defined(DISABLE_FIELD_51)
+#define ENABLE_FIELD_INT_51
+#endif
+#if defined(ENABLE_FIELD_52) && !defined(DISABLE_FIELD_52)
+#define ENABLE_FIELD_INT_52
+#endif
+#if defined(ENABLE_FIELD_53) && !defined(DISABLE_FIELD_53)
+#define ENABLE_FIELD_INT_53
+#endif
+#if defined(ENABLE_FIELD_54) && !defined(DISABLE_FIELD_54)
+#define ENABLE_FIELD_INT_54
+#endif
+#if defined(ENABLE_FIELD_55) && !defined(DISABLE_FIELD_55)
+#define ENABLE_FIELD_INT_55
+#endif
+#if defined(ENABLE_FIELD_56) && !defined(DISABLE_FIELD_56)
+#define ENABLE_FIELD_INT_56
+#endif
+#if defined(ENABLE_FIELD_57) && !defined(DISABLE_FIELD_57)
+#define ENABLE_FIELD_INT_57
+#endif
+#if defined(ENABLE_FIELD_58) && !defined(DISABLE_FIELD_58)
+#define ENABLE_FIELD_INT_58
+#endif
+#if defined(ENABLE_FIELD_59) && !defined(DISABLE_FIELD_59)
+#define ENABLE_FIELD_INT_59
+#endif
+#if defined(ENABLE_FIELD_60) && !defined(DISABLE_FIELD_60)
+#define ENABLE_FIELD_INT_60
+#endif
+#if defined(ENABLE_FIELD_61) && !defined(DISABLE_FIELD_61)
+#define ENABLE_FIELD_INT_61
+#endif
+#if defined(ENABLE_FIELD_62) && !defined(DISABLE_FIELD_62)
+#define ENABLE_FIELD_INT_62
+#endif
+#if defined(ENABLE_FIELD_63) && !defined(DISABLE_FIELD_63)
+#define ENABLE_FIELD_INT_63
+#endif
+#if defined(ENABLE_FIELD_64) && !defined(DISABLE_FIELD_64)
+#define ENABLE_FIELD_INT_64
+#endif
+#else
+#if !defined(DISABLE_FIELD_2)
+#define ENABLE_FIELD_INT_2
+#endif
+#if !defined(DISABLE_FIELD_3)
+#define ENABLE_FIELD_INT_3
+#endif
+#if !defined(DISABLE_FIELD_4)
+#define ENABLE_FIELD_INT_4
+#endif
+#if !defined(DISABLE_FIELD_5)
+#define ENABLE_FIELD_INT_5
+#endif
+#if !defined(DISABLE_FIELD_6)
+#define ENABLE_FIELD_INT_6
+#endif
+#if !defined(DISABLE_FIELD_7)
+#define ENABLE_FIELD_INT_7
+#endif
+#if !defined(DISABLE_FIELD_8)
+#define ENABLE_FIELD_INT_8
+#endif
+#if !defined(DISABLE_FIELD_9)
+#define ENABLE_FIELD_INT_9
+#endif
+#if !defined(DISABLE_FIELD_10)
+#define ENABLE_FIELD_INT_10
+#endif
+#if !defined(DISABLE_FIELD_11)
+#define ENABLE_FIELD_INT_11
+#endif
+#if !defined(DISABLE_FIELD_12)
+#define ENABLE_FIELD_INT_12
+#endif
+#if !defined(DISABLE_FIELD_13)
+#define ENABLE_FIELD_INT_13
+#endif
+#if !defined(DISABLE_FIELD_14)
+#define ENABLE_FIELD_INT_14
+#endif
+#if !defined(DISABLE_FIELD_15)
+#define ENABLE_FIELD_INT_15
+#endif
+#if !defined(DISABLE_FIELD_16)
+#define ENABLE_FIELD_INT_16
+#endif
+#if !defined(DISABLE_FIELD_17)
+#define ENABLE_FIELD_INT_17
+#endif
+#if !defined(DISABLE_FIELD_18)
+#define ENABLE_FIELD_INT_18
+#endif
+#if !defined(DISABLE_FIELD_19)
+#define ENABLE_FIELD_INT_19
+#endif
+#if !defined(DISABLE_FIELD_20)
+#define ENABLE_FIELD_INT_20
+#endif
+#if !defined(DISABLE_FIELD_21)
+#define ENABLE_FIELD_INT_21
+#endif
+#if !defined(DISABLE_FIELD_22)
+#define ENABLE_FIELD_INT_22
+#endif
+#if !defined(DISABLE_FIELD_23)
+#define ENABLE_FIELD_INT_23
+#endif
+#if !defined(DISABLE_FIELD_24)
+#define ENABLE_FIELD_INT_24
+#endif
+#if !defined(DISABLE_FIELD_25)
+#define ENABLE_FIELD_INT_25
+#endif
+#if !defined(DISABLE_FIELD_26)
+#define ENABLE_FIELD_INT_26
+#endif
+#if !defined(DISABLE_FIELD_27)
+#define ENABLE_FIELD_INT_27
+#endif
+#if !defined(DISABLE_FIELD_28)
+#define ENABLE_FIELD_INT_28
+#endif
+#if !defined(DISABLE_FIELD_29)
+#define ENABLE_FIELD_INT_29
+#endif
+#if !defined(DISABLE_FIELD_30)
+#define ENABLE_FIELD_INT_30
+#endif
+#if !defined(DISABLE_FIELD_31)
+#define ENABLE_FIELD_INT_31
+#endif
+#if !defined(DISABLE_FIELD_32)
+#define ENABLE_FIELD_INT_32
+#endif
+#if !defined(DISABLE_FIELD_33)
+#define ENABLE_FIELD_INT_33
+#endif
+#if !defined(DISABLE_FIELD_34)
+#define ENABLE_FIELD_INT_34
+#endif
+#if !defined(DISABLE_FIELD_35)
+#define ENABLE_FIELD_INT_35
+#endif
+#if !defined(DISABLE_FIELD_36)
+#define ENABLE_FIELD_INT_36
+#endif
+#if !defined(DISABLE_FIELD_37)
+#define ENABLE_FIELD_INT_37
+#endif
+#if !defined(DISABLE_FIELD_38)
+#define ENABLE_FIELD_INT_38
+#endif
+#if !defined(DISABLE_FIELD_39)
+#define ENABLE_FIELD_INT_39
+#endif
+#if !defined(DISABLE_FIELD_40)
+#define ENABLE_FIELD_INT_40
+#endif
+#if !defined(DISABLE_FIELD_41)
+#define ENABLE_FIELD_INT_41
+#endif
+#if !defined(DISABLE_FIELD_42)
+#define ENABLE_FIELD_INT_42
+#endif
+#if !defined(DISABLE_FIELD_43)
+#define ENABLE_FIELD_INT_43
+#endif
+#if !defined(DISABLE_FIELD_44)
+#define ENABLE_FIELD_INT_44
+#endif
+#if !defined(DISABLE_FIELD_45)
+#define ENABLE_FIELD_INT_45
+#endif
+#if !defined(DISABLE_FIELD_46)
+#define ENABLE_FIELD_INT_46
+#endif
+#if !defined(DISABLE_FIELD_47)
+#define ENABLE_FIELD_INT_47
+#endif
+#if !defined(DISABLE_FIELD_48)
+#define ENABLE_FIELD_INT_48
+#endif
+#if !defined(DISABLE_FIELD_49)
+#define ENABLE_FIELD_INT_49
+#endif
+#if !defined(DISABLE_FIELD_50)
+#define ENABLE_FIELD_INT_50
+#endif
+#if !defined(DISABLE_FIELD_51)
+#define ENABLE_FIELD_INT_51
+#endif
+#if !defined(DISABLE_FIELD_52)
+#define ENABLE_FIELD_INT_52
+#endif
+#if !defined(DISABLE_FIELD_53)
+#define ENABLE_FIELD_INT_53
+#endif
+#if !defined(DISABLE_FIELD_54)
+#define ENABLE_FIELD_INT_54
+#endif
+#if !defined(DISABLE_FIELD_55)
+#define ENABLE_FIELD_INT_55
+#endif
+#if !defined(DISABLE_FIELD_56)
+#define ENABLE_FIELD_INT_56
+#endif
+#if !defined(DISABLE_FIELD_57)
+#define ENABLE_FIELD_INT_57
+#endif
+#if !defined(DISABLE_FIELD_58)
+#define ENABLE_FIELD_INT_58
+#endif
+#if !defined(DISABLE_FIELD_59)
+#define ENABLE_FIELD_INT_59
+#endif
+#if !defined(DISABLE_FIELD_60)
+#define ENABLE_FIELD_INT_60
+#endif
+#if !defined(DISABLE_FIELD_61)
+#define ENABLE_FIELD_INT_61
+#endif
+#if !defined(DISABLE_FIELD_62)
+#define ENABLE_FIELD_INT_62
+#endif
+#if !defined(DISABLE_FIELD_63)
+#define ENABLE_FIELD_INT_63
+#endif
+#if !defined(DISABLE_FIELD_64)
+#define ENABLE_FIELD_INT_64
+#endif
+#endif
+
+#if !defined(ENABLE_FIELD_INT_2) && \
+ !defined(ENABLE_FIELD_INT_3) && \
+ !defined(ENABLE_FIELD_INT_4) && \
+ !defined(ENABLE_FIELD_INT_5) && \
+ !defined(ENABLE_FIELD_INT_6) && \
+ !defined(ENABLE_FIELD_INT_7) && \
+ !defined(ENABLE_FIELD_INT_8) && \
+ !defined(ENABLE_FIELD_INT_9) && \
+ !defined(ENABLE_FIELD_INT_10) && \
+ !defined(ENABLE_FIELD_INT_11) && \
+ !defined(ENABLE_FIELD_INT_12) && \
+ !defined(ENABLE_FIELD_INT_13) && \
+ !defined(ENABLE_FIELD_INT_14) && \
+ !defined(ENABLE_FIELD_INT_15) && \
+ !defined(ENABLE_FIELD_INT_16) && \
+ !defined(ENABLE_FIELD_INT_17) && \
+ !defined(ENABLE_FIELD_INT_18) && \
+ !defined(ENABLE_FIELD_INT_19) && \
+ !defined(ENABLE_FIELD_INT_20) && \
+ !defined(ENABLE_FIELD_INT_21) && \
+ !defined(ENABLE_FIELD_INT_22) && \
+ !defined(ENABLE_FIELD_INT_23) && \
+ !defined(ENABLE_FIELD_INT_24) && \
+ !defined(ENABLE_FIELD_INT_25) && \
+ !defined(ENABLE_FIELD_INT_26) && \
+ !defined(ENABLE_FIELD_INT_27) && \
+ !defined(ENABLE_FIELD_INT_28) && \
+ !defined(ENABLE_FIELD_INT_29) && \
+ !defined(ENABLE_FIELD_INT_30) && \
+ !defined(ENABLE_FIELD_INT_31) && \
+ !defined(ENABLE_FIELD_INT_32) && \
+ !defined(ENABLE_FIELD_INT_33) && \
+ !defined(ENABLE_FIELD_INT_34) && \
+ !defined(ENABLE_FIELD_INT_35) && \
+ !defined(ENABLE_FIELD_INT_36) && \
+ !defined(ENABLE_FIELD_INT_37) && \
+ !defined(ENABLE_FIELD_INT_38) && \
+ !defined(ENABLE_FIELD_INT_39) && \
+ !defined(ENABLE_FIELD_INT_40) && \
+ !defined(ENABLE_FIELD_INT_41) && \
+ !defined(ENABLE_FIELD_INT_42) && \
+ !defined(ENABLE_FIELD_INT_43) && \
+ !defined(ENABLE_FIELD_INT_44) && \
+ !defined(ENABLE_FIELD_INT_45) && \
+ !defined(ENABLE_FIELD_INT_46) && \
+ !defined(ENABLE_FIELD_INT_47) && \
+ !defined(ENABLE_FIELD_INT_48) && \
+ !defined(ENABLE_FIELD_INT_49) && \
+ !defined(ENABLE_FIELD_INT_50) && \
+ !defined(ENABLE_FIELD_INT_51) && \
+ !defined(ENABLE_FIELD_INT_52) && \
+ !defined(ENABLE_FIELD_INT_53) && \
+ !defined(ENABLE_FIELD_INT_54) && \
+ !defined(ENABLE_FIELD_INT_55) && \
+ !defined(ENABLE_FIELD_INT_56) && \
+ !defined(ENABLE_FIELD_INT_57) && \
+ !defined(ENABLE_FIELD_INT_58) && \
+ !defined(ENABLE_FIELD_INT_59) && \
+ !defined(ENABLE_FIELD_INT_60) && \
+ !defined(ENABLE_FIELD_INT_61) && \
+ !defined(ENABLE_FIELD_INT_62) && \
+ !defined(ENABLE_FIELD_INT_63) && \
+ !defined(ENABLE_FIELD_INT_64)
+#error No fields enabled
+#endif
+
+#if defined(ENABLE_FIELD_INT_2) || \
+ defined(ENABLE_FIELD_INT_3) || \
+ defined(ENABLE_FIELD_INT_4) || \
+ defined(ENABLE_FIELD_INT_5) || \
+ defined(ENABLE_FIELD_INT_6) || \
+ defined(ENABLE_FIELD_INT_7) || \
+ defined(ENABLE_FIELD_INT_8)
+#define ENABLE_FIELD_BYTES_INT_1
+#endif
+
+#if defined(ENABLE_FIELD_INT_9) || \
+ defined(ENABLE_FIELD_INT_10) || \
+ defined(ENABLE_FIELD_INT_11) || \
+ defined(ENABLE_FIELD_INT_12) || \
+ defined(ENABLE_FIELD_INT_13) || \
+ defined(ENABLE_FIELD_INT_14) || \
+ defined(ENABLE_FIELD_INT_15) || \
+ defined(ENABLE_FIELD_INT_16)
+#define ENABLE_FIELD_BYTES_INT_2
+#endif
+
+#if defined(ENABLE_FIELD_INT_17) || \
+ defined(ENABLE_FIELD_INT_18) || \
+ defined(ENABLE_FIELD_INT_19) || \
+ defined(ENABLE_FIELD_INT_20) || \
+ defined(ENABLE_FIELD_INT_21) || \
+ defined(ENABLE_FIELD_INT_22) || \
+ defined(ENABLE_FIELD_INT_23) || \
+ defined(ENABLE_FIELD_INT_24)
+#define ENABLE_FIELD_BYTES_INT_3
+#endif
+
+#if defined(ENABLE_FIELD_INT_25) || \
+ defined(ENABLE_FIELD_INT_26) || \
+ defined(ENABLE_FIELD_INT_27) || \
+ defined(ENABLE_FIELD_INT_28) || \
+ defined(ENABLE_FIELD_INT_29) || \
+ defined(ENABLE_FIELD_INT_30) || \
+ defined(ENABLE_FIELD_INT_31) || \
+ defined(ENABLE_FIELD_INT_32)
+#define ENABLE_FIELD_BYTES_INT_4
+#endif
+
+#if defined(ENABLE_FIELD_INT_33) || \
+ defined(ENABLE_FIELD_INT_34) || \
+ defined(ENABLE_FIELD_INT_35) || \
+ defined(ENABLE_FIELD_INT_36) || \
+ defined(ENABLE_FIELD_INT_37) || \
+ defined(ENABLE_FIELD_INT_38) || \
+ defined(ENABLE_FIELD_INT_39) || \
+ defined(ENABLE_FIELD_INT_40)
+#define ENABLE_FIELD_BYTES_INT_5
+#endif
+
+#if defined(ENABLE_FIELD_INT_41) || \
+ defined(ENABLE_FIELD_INT_42) || \
+ defined(ENABLE_FIELD_INT_43) || \
+ defined(ENABLE_FIELD_INT_44) || \
+ defined(ENABLE_FIELD_INT_45) || \
+ defined(ENABLE_FIELD_INT_46) || \
+ defined(ENABLE_FIELD_INT_47) || \
+ defined(ENABLE_FIELD_INT_48)
+#define ENABLE_FIELD_BYTES_INT_6
+#endif
+
+#if defined(ENABLE_FIELD_INT_49) || \
+ defined(ENABLE_FIELD_INT_50) || \
+ defined(ENABLE_FIELD_INT_51) || \
+ defined(ENABLE_FIELD_INT_52) || \
+ defined(ENABLE_FIELD_INT_53) || \
+ defined(ENABLE_FIELD_INT_54) || \
+ defined(ENABLE_FIELD_INT_55) || \
+ defined(ENABLE_FIELD_INT_56)
+#define ENABLE_FIELD_BYTES_INT_7
+#endif
+
+#if defined(ENABLE_FIELD_INT_57) || \
+ defined(ENABLE_FIELD_INT_58) || \
+ defined(ENABLE_FIELD_INT_59) || \
+ defined(ENABLE_FIELD_INT_60) || \
+ defined(ENABLE_FIELD_INT_61) || \
+ defined(ENABLE_FIELD_INT_62) || \
+ defined(ENABLE_FIELD_INT_63) || \
+ defined(ENABLE_FIELD_INT_64)
+#define ENABLE_FIELD_BYTES_INT_8
+#endif
+#endif // _MINISKETCH_FIELDDEFINES_H_
diff --git a/src/minisketch/src/fields/clmul_1byte.cpp b/src/minisketch/src/fields/clmul_1byte.cpp
new file mode 100644
index 0000000000..8826af9605
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_1byte.cpp
@@ -0,0 +1,119 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_1)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_2
+// 2 bit field
+typedef RecLinTrans<uint8_t, 2> StatTableTRI2;
+constexpr StatTableTRI2 SQR_TABLE_TRI2({0x1, 0x3});
+constexpr StatTableTRI2 QRT_TABLE_TRI2({0x2, 0});
+typedef FieldTri<uint8_t, 2, 1, StatTableTRI2, &SQR_TABLE_TRI2, &QRT_TABLE_TRI2, &QRT_TABLE_TRI2, &QRT_TABLE_TRI2, &QRT_TABLE_TRI2, &QRT_TABLE_TRI2, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri2;
+#endif
+
+#ifdef ENABLE_FIELD_INT_3
+// 3 bit field
+typedef RecLinTrans<uint8_t, 3> StatTableTRI3;
+constexpr StatTableTRI3 SQR_TABLE_TRI3({0x1, 0x4, 0x6});
+constexpr StatTableTRI3 QRT_TABLE_TRI3({0, 0x4, 0x6});
+typedef FieldTri<uint8_t, 3, 1, StatTableTRI3, &SQR_TABLE_TRI3, &QRT_TABLE_TRI3, &QRT_TABLE_TRI3, &QRT_TABLE_TRI3, &QRT_TABLE_TRI3, &QRT_TABLE_TRI3, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri3;
+#endif
+
+#ifdef ENABLE_FIELD_INT_4
+// 4 bit field
+typedef RecLinTrans<uint8_t, 4> StatTableTRI4;
+constexpr StatTableTRI4 SQR_TABLE_TRI4({0x1, 0x4, 0x3, 0xc});
+constexpr StatTableTRI4 QRT_TABLE_TRI4({0x6, 0xa, 0x8, 0});
+typedef FieldTri<uint8_t, 4, 1, StatTableTRI4, &SQR_TABLE_TRI4, &QRT_TABLE_TRI4, &QRT_TABLE_TRI4, &QRT_TABLE_TRI4, &QRT_TABLE_TRI4, &QRT_TABLE_TRI4, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri4;
+#endif
+
+#ifdef ENABLE_FIELD_INT_5
+// 5 bit field
+typedef RecLinTrans<uint8_t, 5> StatTable5;
+constexpr StatTable5 SQR_TABLE_5({0x1, 0x4, 0x10, 0xa, 0xd});
+constexpr StatTable5 SQR2_TABLE_5({0x1, 0x10, 0xd, 0xe, 0x1b});
+constexpr StatTable5 QRT_TABLE_5({0x14, 0x8, 0xa, 0, 0xe});
+typedef Field<uint8_t, 5, 5, StatTable5, &SQR_TABLE_5, &SQR2_TABLE_5, &QRT_TABLE_5, &QRT_TABLE_5, &QRT_TABLE_5, &QRT_TABLE_5, IdTrans, &ID_TRANS, &ID_TRANS> Field5;
+typedef FieldTri<uint8_t, 5, 2, RecLinTrans<uint8_t, 5>, &SQR_TABLE_5, &SQR2_TABLE_5, &QRT_TABLE_5, &QRT_TABLE_5, &QRT_TABLE_5, &QRT_TABLE_5, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri5;
+#endif
+
+#ifdef ENABLE_FIELD_INT_6
+// 6 bit field
+typedef RecLinTrans<uint8_t, 6> StatTableTRI6;
+constexpr StatTableTRI6 SQR_TABLE_TRI6({0x1, 0x4, 0x10, 0x3, 0xc, 0x30});
+constexpr StatTableTRI6 SQR2_TABLE_TRI6({0x1, 0x10, 0xc, 0x5, 0x13, 0x3c});
+constexpr StatTableTRI6 QRT_TABLE_TRI6({0x3a, 0x26, 0x24, 0x14, 0x20, 0});
+typedef FieldTri<uint8_t, 6, 1, StatTableTRI6, &SQR_TABLE_TRI6, &SQR2_TABLE_TRI6, &QRT_TABLE_TRI6, &QRT_TABLE_TRI6, &QRT_TABLE_TRI6, &QRT_TABLE_TRI6, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri6;
+#endif
+
+#ifdef ENABLE_FIELD_INT_7
+// 7 bit field
+typedef RecLinTrans<uint8_t, 4, 3> StatTableTRI7;
+constexpr StatTableTRI7 SQR_TABLE_TRI7({0x1, 0x4, 0x10, 0x40, 0x6, 0x18, 0x60});
+constexpr StatTableTRI7 SQR2_TABLE_TRI7({0x1, 0x10, 0x6, 0x60, 0x14, 0x46, 0x78});
+constexpr StatTableTRI7 QRT_TABLE_TRI7({0, 0x14, 0x16, 0x72, 0x12, 0x40, 0x7a});
+typedef FieldTri<uint8_t, 7, 1, StatTableTRI7, &SQR_TABLE_TRI7, &SQR2_TABLE_TRI7, &QRT_TABLE_TRI7, &QRT_TABLE_TRI7, &QRT_TABLE_TRI7, &QRT_TABLE_TRI7, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri7;
+#endif
+
+#ifdef ENABLE_FIELD_INT_8
+// 8 bit field
+typedef RecLinTrans<uint8_t, 4, 4> StatTable8;
+constexpr StatTable8 SQR_TABLE_8({0x1, 0x4, 0x10, 0x40, 0x1b, 0x6c, 0xab, 0x9a});
+constexpr StatTable8 SQR2_TABLE_8({0x1, 0x10, 0x1b, 0xab, 0x5e, 0x97, 0xb3, 0xc5});
+constexpr StatTable8 QRT_TABLE_8({0xbc, 0x2a, 0x28, 0x86, 0x2c, 0xde, 0x8e, 0});
+typedef Field<uint8_t, 8, 27, StatTable8, &SQR_TABLE_8, &SQR2_TABLE_8, &QRT_TABLE_8, &QRT_TABLE_8, &QRT_TABLE_8, &QRT_TABLE_8, IdTrans, &ID_TRANS, &ID_TRANS> Field8;
+#endif
+}
+
+Sketch* ConstructClMul1Byte(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_5
+ case 5: return new SketchImpl<Field5>(implementation, 5);
+#endif
+#ifdef ENABLE_FIELD_INT_8
+ case 8: return new SketchImpl<Field8>(implementation, 8);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri1Byte(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_2
+ case 2: return new SketchImpl<FieldTri2>(implementation, 2);
+#endif
+#ifdef ENABLE_FIELD_INT_3
+ case 3: return new SketchImpl<FieldTri3>(implementation, 3);
+#endif
+#ifdef ENABLE_FIELD_INT_4
+ case 4: return new SketchImpl<FieldTri4>(implementation, 4);
+#endif
+#ifdef ENABLE_FIELD_INT_5
+ case 5: return new SketchImpl<FieldTri5>(implementation, 5);
+#endif
+#ifdef ENABLE_FIELD_INT_6
+ case 6: return new SketchImpl<FieldTri6>(implementation, 6);
+#endif
+#ifdef ENABLE_FIELD_INT_7
+ case 7: return new SketchImpl<FieldTri7>(implementation, 7);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_2bytes.cpp b/src/minisketch/src/fields/clmul_2bytes.cpp
new file mode 100644
index 0000000000..43930254dd
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_2bytes.cpp
@@ -0,0 +1,154 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_2)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_9
+// 9 bit field
+typedef RecLinTrans<uint16_t, 5, 4> StatTableTRI9;
+constexpr StatTableTRI9 SQR_TABLE_TRI9({0x1, 0x4, 0x10, 0x40, 0x100, 0x6, 0x18, 0x60, 0x180});
+constexpr StatTableTRI9 SQR2_TABLE_TRI9({0x1, 0x10, 0x100, 0x18, 0x180, 0x14, 0x140, 0x1e, 0x1e0});
+constexpr StatTableTRI9 SQR4_TABLE_TRI9({0x1, 0x180, 0x1e0, 0x198, 0x1fe, 0x80, 0xa0, 0x88, 0xaa});
+constexpr StatTableTRI9 QRT_TABLE_TRI9({0, 0x4e, 0x4c, 0x1aa, 0x48, 0x22, 0x1a2, 0x100, 0x58});
+typedef FieldTri<uint16_t, 9, 1, StatTableTRI9, &SQR_TABLE_TRI9, &SQR2_TABLE_TRI9, &SQR4_TABLE_TRI9, &QRT_TABLE_TRI9, &QRT_TABLE_TRI9, &QRT_TABLE_TRI9, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri9;
+#endif
+
+#ifdef ENABLE_FIELD_INT_10
+// 10 bit field
+typedef RecLinTrans<uint16_t, 5, 5> StatTable10;
+constexpr StatTable10 SQR_TABLE_10({0x1, 0x4, 0x10, 0x40, 0x100, 0x9, 0x24, 0x90, 0x240, 0x112});
+constexpr StatTable10 SQR2_TABLE_10({0x1, 0x10, 0x100, 0x24, 0x240, 0x41, 0x19, 0x190, 0x136, 0x344});
+constexpr StatTable10 SQR4_TABLE_10({0x1, 0x240, 0x136, 0x141, 0x35d, 0x18, 0x265, 0x2e6, 0x227, 0x36b});
+constexpr StatTable10 QRT_TABLE_10({0xec, 0x86, 0x84, 0x30e, 0x80, 0x3c2, 0x306, 0, 0x90, 0x296});
+typedef Field<uint16_t, 10, 9, StatTable10, &SQR_TABLE_10, &SQR2_TABLE_10, &SQR4_TABLE_10, &QRT_TABLE_10, &QRT_TABLE_10, &QRT_TABLE_10, IdTrans, &ID_TRANS, &ID_TRANS> Field10;
+typedef FieldTri<uint16_t, 10, 3, RecLinTrans<uint16_t, 5, 5>, &SQR_TABLE_10, &SQR2_TABLE_10, &SQR4_TABLE_10, &QRT_TABLE_10, &QRT_TABLE_10, &QRT_TABLE_10, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri10;
+#endif
+
+#ifdef ENABLE_FIELD_INT_11
+// 11 bit field
+typedef RecLinTrans<uint16_t, 6, 5> StatTable11;
+constexpr StatTable11 SQR_TABLE_11({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0xa, 0x28, 0xa0, 0x280, 0x205});
+constexpr StatTable11 SQR2_TABLE_11({0x1, 0x10, 0x100, 0xa, 0xa0, 0x205, 0x44, 0x440, 0x428, 0x2a8, 0x291});
+constexpr StatTable11 SQR4_TABLE_11({0x1, 0xa0, 0x428, 0x1a, 0x645, 0x3a9, 0x144, 0x2d5, 0x9e, 0x4e7, 0x649});
+constexpr StatTable11 QRT_TABLE_11({0x734, 0x48, 0x4a, 0x1de, 0x4e, 0x35e, 0x1d6, 0x200, 0x5e, 0, 0x37e});
+typedef Field<uint16_t, 11, 5, StatTable11, &SQR_TABLE_11, &SQR2_TABLE_11, &SQR4_TABLE_11, nullptr, nullptr, &QRT_TABLE_11, IdTrans, &ID_TRANS, &ID_TRANS> Field11;
+typedef FieldTri<uint16_t, 11, 2, RecLinTrans<uint16_t, 6, 5>, &SQR_TABLE_11, &SQR2_TABLE_11, &SQR4_TABLE_11, &QRT_TABLE_11, &QRT_TABLE_11, &QRT_TABLE_11, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri11;
+#endif
+
+#ifdef ENABLE_FIELD_INT_12
+// 12 bit field
+typedef RecLinTrans<uint16_t, 6, 6> StatTable12;
+constexpr StatTable12 SQR_TABLE_12({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x9, 0x24, 0x90, 0x240, 0x900, 0x412});
+constexpr StatTable12 SQR2_TABLE_12({0x1, 0x10, 0x100, 0x9, 0x90, 0x900, 0x41, 0x410, 0x124, 0x249, 0x482, 0x804});
+constexpr StatTable12 SQR4_TABLE_12({0x1, 0x90, 0x124, 0x8, 0x480, 0x920, 0x40, 0x412, 0x924, 0x200, 0x82, 0x904});
+constexpr StatTable12 QRT_TABLE_12({0x48, 0xc10, 0xc12, 0x208, 0xc16, 0xd82, 0x200, 0x110, 0xc06, 0, 0xda2, 0x5a4});
+typedef Field<uint16_t, 12, 9, StatTable12, &SQR_TABLE_12, &SQR2_TABLE_12, &SQR4_TABLE_12, &QRT_TABLE_12, &QRT_TABLE_12, &QRT_TABLE_12, IdTrans, &ID_TRANS, &ID_TRANS> Field12;
+typedef FieldTri<uint16_t, 12, 3, RecLinTrans<uint16_t, 6, 6>, &SQR_TABLE_12, &SQR2_TABLE_12, &SQR4_TABLE_12, &QRT_TABLE_12, &QRT_TABLE_12, &QRT_TABLE_12, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri12;
+#endif
+
+#ifdef ENABLE_FIELD_INT_13
+// 13 bit field
+typedef RecLinTrans<uint16_t, 5, 4, 4> StatTable13;
+constexpr StatTable13 SQR_TABLE_13({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x36, 0xd8, 0x360, 0xd80, 0x161b, 0x185a});
+constexpr StatTable13 SQR2_TABLE_13({0x1, 0x10, 0x100, 0x1000, 0xd8, 0xd80, 0x185a, 0x514, 0x1176, 0x17b8, 0x1b75, 0x17ff, 0x1f05});
+constexpr StatTable13 SQR4_TABLE_13({0x1, 0xd8, 0x1176, 0x1f05, 0xd96, 0x18e8, 0x68, 0xbdb, 0x1a61, 0x1af2, 0x1a37, 0x3b9, 0x1440});
+constexpr StatTable13 QRT_TABLE_13({0xcfc, 0x1500, 0x1502, 0x382, 0x1506, 0x149c, 0x38a, 0x118, 0x1516, 0, 0x14bc, 0x100e, 0x3ca});
+typedef Field<uint16_t, 13, 27, StatTable13, &SQR_TABLE_13, &SQR2_TABLE_13, &SQR4_TABLE_13, &QRT_TABLE_13, &QRT_TABLE_13, &QRT_TABLE_13, IdTrans, &ID_TRANS, &ID_TRANS> Field13;
+#endif
+
+#ifdef ENABLE_FIELD_INT_14
+// 14 bit field
+typedef RecLinTrans<uint16_t, 5, 5, 4> StatTable14;
+constexpr StatTable14 SQR_TABLE_14({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x21, 0x84, 0x210, 0x840, 0x2100, 0x442, 0x1108});
+constexpr StatTable14 SQR2_TABLE_14({0x1, 0x10, 0x100, 0x1000, 0x84, 0x840, 0x442, 0x401, 0x31, 0x310, 0x3100, 0x118c, 0x1844, 0x486});
+constexpr StatTable14 SQR4_TABLE_14({0x1, 0x84, 0x31, 0x1844, 0x501, 0x15ce, 0x3552, 0x3101, 0x8c5, 0x3a5, 0x1cf3, 0xd74, 0xc8a, 0x3411});
+constexpr StatTable14 QRT_TABLE_14({0x13f2, 0x206, 0x204, 0x3e06, 0x200, 0x1266, 0x3e0e, 0x114, 0x210, 0, 0x1246, 0x2848, 0x3e4e, 0x2258});
+typedef Field<uint16_t, 14, 33, StatTable14, &SQR_TABLE_14, &SQR2_TABLE_14, &SQR4_TABLE_14, &QRT_TABLE_14, &QRT_TABLE_14, &QRT_TABLE_14, IdTrans, &ID_TRANS, &ID_TRANS> Field14;
+typedef FieldTri<uint16_t, 14, 5, RecLinTrans<uint16_t, 5, 5, 4>, &SQR_TABLE_14, &SQR2_TABLE_14, &SQR4_TABLE_14, &QRT_TABLE_14, &QRT_TABLE_14, &QRT_TABLE_14, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri14;
+#endif
+
+#ifdef ENABLE_FIELD_INT_15
+// 15 bit field
+typedef RecLinTrans<uint16_t, 5, 5, 5> StatTableTRI15;
+constexpr StatTableTRI15 SQR_TABLE_TRI15({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x6, 0x18, 0x60, 0x180, 0x600, 0x1800, 0x6000});
+constexpr StatTableTRI15 SQR2_TABLE_TRI15({0x1, 0x10, 0x100, 0x1000, 0x6, 0x60, 0x600, 0x6000, 0x14, 0x140, 0x1400, 0x4006, 0x78, 0x780, 0x7800});
+constexpr StatTableTRI15 SQR4_TABLE_TRI15({0x1, 0x6, 0x14, 0x78, 0x110, 0x660, 0x1540, 0x7f80, 0x106, 0x614, 0x1478, 0x7910, 0x1666, 0x7554, 0x3ffe});
+constexpr StatTableTRI15 QRT_TABLE_TRI15({0, 0x114, 0x116, 0x428, 0x112, 0x137a, 0x420, 0x6d62, 0x102, 0x73a, 0x135a, 0x6460, 0x460, 0x4000, 0x6de2});
+typedef FieldTri<uint16_t, 15, 1, StatTableTRI15, &SQR_TABLE_TRI15, &SQR2_TABLE_TRI15, &SQR4_TABLE_TRI15, &QRT_TABLE_TRI15, &QRT_TABLE_TRI15, &QRT_TABLE_TRI15, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri15;
+#endif
+
+#ifdef ENABLE_FIELD_INT_16
+// 16 bit field
+typedef RecLinTrans<uint16_t, 6, 5, 5> StatTable16;
+constexpr StatTable16 SQR_TABLE_16({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x2b, 0xac, 0x2b0, 0xac0, 0x2b00, 0xac00, 0xb056, 0xc10e});
+constexpr StatTable16 SQR2_TABLE_16({0x1, 0x10, 0x100, 0x1000, 0x2b, 0x2b0, 0x2b00, 0xb056, 0x445, 0x4450, 0x45ac, 0x5a6c, 0xa647, 0x657e, 0x571a, 0x7127});
+constexpr StatTable16 SQR4_TABLE_16({0x1, 0x2b, 0x445, 0xa647, 0x12a1, 0xf69d, 0x7f07, 0x9825, 0x6fad, 0x399d, 0xb515, 0xd7d1, 0x3fb4, 0x4b06, 0xe4df, 0x93c7});
+constexpr StatTable16 QRT_TABLE_16({0x732, 0x72b8, 0x72ba, 0x7e96, 0x72be, 0x78b2, 0x7e9e, 0x8cba, 0x72ae, 0xfa24, 0x7892, 0x5892, 0x7ede, 0xbec6, 0x8c3a, 0});
+typedef Field<uint16_t, 16, 43, StatTable16, &SQR_TABLE_16, &SQR2_TABLE_16, &SQR4_TABLE_16, &QRT_TABLE_16, &QRT_TABLE_16, &QRT_TABLE_16, IdTrans, &ID_TRANS, &ID_TRANS> Field16;
+#endif
+}
+
+Sketch* ConstructClMul2Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_10
+ case 10: return new SketchImpl<Field10>(implementation, 10);
+#endif
+#ifdef ENABLE_FIELD_INT_11
+ case 11: return new SketchImpl<Field11>(implementation, 11);
+#endif
+#ifdef ENABLE_FIELD_INT_12
+ case 12: return new SketchImpl<Field12>(implementation, 12);
+#endif
+#ifdef ENABLE_FIELD_INT_13
+ case 13: return new SketchImpl<Field13>(implementation, 13);
+#endif
+#ifdef ENABLE_FIELD_INT_14
+ case 14: return new SketchImpl<Field14>(implementation, 14);
+#endif
+#ifdef ENABLE_FIELD_INT_16
+ case 16: return new SketchImpl<Field16>(implementation, 16);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri2Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_9
+ case 9: return new SketchImpl<FieldTri9>(implementation, 9);
+#endif
+#ifdef ENABLE_FIELD_INT_10
+ case 10: return new SketchImpl<FieldTri10>(implementation, 10);
+#endif
+#ifdef ENABLE_FIELD_INT_11
+ case 11: return new SketchImpl<FieldTri11>(implementation, 11);
+#endif
+#ifdef ENABLE_FIELD_INT_12
+ case 12: return new SketchImpl<FieldTri12>(implementation, 12);
+#endif
+#ifdef ENABLE_FIELD_INT_14
+ case 14: return new SketchImpl<FieldTri14>(implementation, 14);
+#endif
+#ifdef ENABLE_FIELD_INT_15
+ case 15: return new SketchImpl<FieldTri15>(implementation, 15);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_3bytes.cpp b/src/minisketch/src/fields/clmul_3bytes.cpp
new file mode 100644
index 0000000000..b473f66ba2
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_3bytes.cpp
@@ -0,0 +1,166 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_3)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_17
+// 17 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5> StatTable17;
+constexpr StatTable17 SQR_TABLE_17({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x8012});
+constexpr StatTable17 SQR2_TABLE_17({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x48, 0x480, 0x4800, 0x8012, 0x104, 0x1040, 0x10400, 0x4048, 0x492, 0x4920, 0x9212, 0x12104});
+constexpr StatTable17 SQR4_TABLE_17({0x1, 0x10000, 0x8012, 0x4048, 0x12104, 0x1480, 0x5840, 0x14d20, 0x19202, 0x8112, 0x44c8, 0x13144, 0x5da0, 0x15850, 0x1cd7a, 0x1d34e, 0x1a484});
+constexpr StatTable17 SQR8_TABLE_17({0x1, 0x1a484, 0x1f24a, 0x1d572, 0x1eec4, 0x15448, 0xf9de, 0x9af0, 0x1ab78, 0x6048, 0xdc9a, 0x1eb24, 0x2ef4, 0x7c5e, 0x170b2, 0x16c1a, 0xa660});
+constexpr StatTable17 QRT_TABLE_17({0, 0x4c3e, 0x4c3c, 0x1a248, 0x4c38, 0x428, 0x1a240, 0x1b608, 0x4c28, 0x206, 0x408, 0x4000, 0x1a200, 0x18006, 0x1b688, 0x14d2e, 0x4d28});
+typedef Field<uint32_t, 17, 9, StatTable17, &SQR_TABLE_17, &SQR2_TABLE_17, &SQR4_TABLE_17, &SQR8_TABLE_17, &QRT_TABLE_17, &QRT_TABLE_17, IdTrans, &ID_TRANS, &ID_TRANS> Field17;
+typedef FieldTri<uint32_t, 17, 3, RecLinTrans<uint32_t, 6, 6, 5>, &SQR_TABLE_17, &SQR2_TABLE_17, &SQR4_TABLE_17, &SQR8_TABLE_17, &QRT_TABLE_17, &QRT_TABLE_17, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri17;
+#endif
+
+#ifdef ENABLE_FIELD_INT_18
+// 18 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6> StatTable18;
+constexpr StatTable18 SQR_TABLE_18({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x9, 0x24, 0x90, 0x240, 0x900, 0x2400, 0x9000, 0x24000, 0x10012});
+constexpr StatTable18 SQR2_TABLE_18({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x24, 0x240, 0x2400, 0x24000, 0x41, 0x410, 0x4100, 0x1009, 0x10090, 0x924, 0x9240, 0x12412, 0x24104});
+constexpr StatTable18 SQR4_TABLE_18({0x1, 0x10000, 0x24000, 0x1009, 0x12412, 0x124, 0x201, 0x10480, 0x24820, 0x241, 0x10410, 0x24924, 0x8, 0x12, 0x20024, 0x8048, 0x12082, 0x920});
+constexpr StatTable18 SQR8_TABLE_18({0x1, 0x12082, 0x20904, 0x1000, 0x92, 0x904, 0x240, 0x12012, 0x4104, 0x41, 0x10080, 0x4924, 0x1009, 0x2412, 0x24804, 0x9240, 0x12410, 0x20});
+constexpr StatTable18 QRT_TABLE_18({0x9208, 0x422, 0x420, 0x8048, 0x424, 0x68b0, 0x8040, 0x30086, 0x434, 0x1040, 0x6890, 0x30ca2, 0x8000, 0x32896, 0x30006, 0, 0x534, 0x20532});
+typedef Field<uint32_t, 18, 9, StatTable18, &SQR_TABLE_18, &SQR2_TABLE_18, &SQR4_TABLE_18, &SQR8_TABLE_18, &QRT_TABLE_18, &QRT_TABLE_18, IdTrans, &ID_TRANS, &ID_TRANS> Field18;
+typedef FieldTri<uint32_t, 18, 3, RecLinTrans<uint32_t, 6, 6, 6>, &SQR_TABLE_18, &SQR2_TABLE_18, &SQR4_TABLE_18, &SQR8_TABLE_18, &QRT_TABLE_18, &QRT_TABLE_18, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri18;
+#endif
+
+#ifdef ENABLE_FIELD_INT_19
+// 19 bit field
+typedef RecLinTrans<uint32_t, 5, 5, 5, 4> StatTable19;
+constexpr StatTable19 SQR_TABLE_19({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x4e, 0x138, 0x4e0, 0x1380, 0x4e00, 0x13800, 0x4e000, 0x3804e, 0x6011f});
+constexpr StatTable19 SQR2_TABLE_19({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x4e, 0x4e0, 0x4e00, 0x4e000, 0x6011f, 0x1054, 0x10540, 0x544e, 0x544e0, 0x44f76, 0x4f658, 0x7649f, 0x6481a, 0x48004});
+constexpr StatTable19 SQR4_TABLE_19({0x1, 0x10000, 0x4e000, 0x544e, 0x7649f, 0x15f0, 0x5afa, 0x35b7d, 0x17dca, 0x7390f, 0x151ae, 0x3902b, 0x41e9c, 0x7f117, 0x23ec7, 0x62c2f, 0x5e852, 0x69238, 0x775c});
+constexpr StatTable19 SQR8_TABLE_19({0x1, 0x5e852, 0x394a3, 0x29f41, 0x618e5, 0x4210, 0x7add9, 0x31105, 0x5d098, 0x7bb13, 0x44f00, 0x966, 0x11ae6, 0x70901, 0x664bf, 0x67449, 0x3d2bf, 0x4cbf9, 0x54e0c});
+constexpr StatTable19 QRT_TABLE_19({0x5d6b0, 0x2f476, 0x2f474, 0x1d6a2, 0x2f470, 0x42a, 0x1d6aa, 0x1060, 0x2f460, 0x19e92, 0x40a, 0x1da98, 0x1d6ea, 0x28c78, 0x10e0, 0xf56a, 0x2f560, 0, 0x19c92});
+typedef Field<uint32_t, 19, 39, StatTable19, &SQR_TABLE_19, &SQR2_TABLE_19, &SQR4_TABLE_19, &SQR8_TABLE_19, &QRT_TABLE_19, &QRT_TABLE_19, IdTrans, &ID_TRANS, &ID_TRANS> Field19;
+#endif
+
+#ifdef ENABLE_FIELD_INT_20
+// 20 bit field
+typedef RecLinTrans<uint32_t, 5, 5, 5, 5> StatTable20;
+constexpr StatTable20 SQR_TABLE_20({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x9, 0x24, 0x90, 0x240, 0x900, 0x2400, 0x9000, 0x24000, 0x90000, 0x40012});
+constexpr StatTable20 SQR2_TABLE_20({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x9, 0x90, 0x900, 0x9000, 0x90000, 0x41, 0x410, 0x4100, 0x41000, 0x10024, 0x249, 0x2490, 0x24900, 0x49012, 0x90104});
+constexpr StatTable20 SQR4_TABLE_20({0x1, 0x10000, 0x9000, 0x4100, 0x2490, 0x1001, 0x10900, 0x9410, 0x4349, 0x92594, 0x91, 0x10041, 0x19024, 0x4d112, 0x2599, 0x91091, 0x51941, 0x3dd34, 0x5d34b, 0x9b494});
+constexpr StatTable20 SQR8_TABLE_20({0x1, 0x51941, 0x880b5, 0x66d0, 0x46103, 0x19025, 0x45a49, 0x8a4b4, 0x80b45, 0x81f9f, 0xb081, 0x41040, 0xd19f5, 0xc11be, 0x4634b, 0xd8d70, 0x11027, 0xf8651, 0x141fa, 0xdc63});
+constexpr StatTable20 QRT_TABLE_20({0xc5dea, 0xc0110, 0xc0112, 0xe11de, 0xc0116, 0x24814, 0xe11d6, 0x20080, 0xc0106, 0xfe872, 0x24834, 0xe4106, 0xe1196, 0x1d9a4, 0x20000, 0x31190, 0xc0006, 0, 0xfea72, 0x7ea74});
+typedef Field<uint32_t, 20, 9, StatTable20, &SQR_TABLE_20, &SQR2_TABLE_20, &SQR4_TABLE_20, &SQR8_TABLE_20, &QRT_TABLE_20, &QRT_TABLE_20, IdTrans, &ID_TRANS, &ID_TRANS> Field20;
+typedef FieldTri<uint32_t, 20, 3, RecLinTrans<uint32_t, 5, 5, 5, 5>, &SQR_TABLE_20, &SQR2_TABLE_20, &SQR4_TABLE_20, &SQR8_TABLE_20, &QRT_TABLE_20, &QRT_TABLE_20, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri20;
+#endif
+
+#ifdef ENABLE_FIELD_INT_21
+// 21 bit field
+typedef RecLinTrans<uint32_t, 6, 5, 5, 5> StatTable21;
+constexpr StatTable21 SQR_TABLE_21({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0xa, 0x28, 0xa0, 0x280, 0xa00, 0x2800, 0xa000, 0x28000, 0xa0000, 0x80005});
+constexpr StatTable21 SQR2_TABLE_21({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x28, 0x280, 0x2800, 0x28000, 0x80005, 0x44, 0x440, 0x4400, 0x44000, 0x4000a, 0xaa, 0xaa0, 0xaa00, 0xaa000, 0xa0011});
+constexpr StatTable21 SQR4_TABLE_21({0x1, 0x10000, 0x2800, 0x440, 0xaa, 0xa0011, 0x101000, 0x28280, 0x4444, 0x40aaa, 0xaa101, 0x128, 0x8002d, 0xc4005, 0x4ea00, 0xba10, 0x101290, 0x1282c4, 0x6c44e, 0xeeeaa, 0xbaaa1});
+constexpr StatTable21 SQR8_TABLE_21({0x1, 0x101290, 0xc412d, 0x1ab101, 0x986d1, 0x1c6cc5, 0x3aa8c, 0x14b0fe, 0x1e7301, 0xb491d, 0x10d23e, 0xa4015, 0x4c2fa, 0xce8e5, 0xadfd9, 0xf110, 0x5220c, 0xf225f, 0xb8bdb, 0x159467, 0xc0df9});
+constexpr StatTable21 QRT_TABLE_21({0x1bd5fc, 0xbc196, 0xbc194, 0x74b96, 0xbc190, 0x1048, 0x74b9e, 0x672c8, 0xbc180, 0x4080, 0x1068, 0xc8200, 0x74bde, 0x64280, 0x67248, 0xc4280, 0xbc080, 0x80000, 0x4280, 0, 0x1468});
+typedef Field<uint32_t, 21, 5, StatTable21, &SQR_TABLE_21, &SQR2_TABLE_21, &SQR4_TABLE_21, &SQR8_TABLE_21, &QRT_TABLE_21, &QRT_TABLE_21, IdTrans, &ID_TRANS, &ID_TRANS> Field21;
+typedef FieldTri<uint32_t, 21, 2, RecLinTrans<uint32_t, 6, 5, 5, 5>, &SQR_TABLE_21, &SQR2_TABLE_21, &SQR4_TABLE_21, &SQR8_TABLE_21, &QRT_TABLE_21, &QRT_TABLE_21, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri21;
+#endif
+
+#ifdef ENABLE_FIELD_INT_22
+// 22 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5, 5> StatTableTRI22;
+constexpr StatTableTRI22 SQR_TABLE_TRI22({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000});
+constexpr StatTableTRI22 SQR2_TABLE_TRI22({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0xc, 0xc0, 0xc00, 0xc000, 0xc0000, 0x5, 0x50, 0x500, 0x5000, 0x50000, 0x100003, 0x3c, 0x3c0, 0x3c00, 0x3c000, 0x3c0000});
+constexpr StatTableTRI22 SQR4_TABLE_TRI22({0x1, 0x10000, 0xc00, 0x50, 0x100003, 0x3c000, 0x1100, 0xcc, 0xc0005, 0x55000, 0x3fc0, 0x101, 0x1000c, 0xc0c00, 0x5050, 0x1003c3, 0x3c011, 0x111100, 0xcccc, 0xc0555, 0x15503f, 0x3fffc0});
+constexpr StatTableTRI22 SQR8_TABLE_TRI22({0x1, 0x3c011, 0x3ec1, 0x101103, 0x14503e, 0x28282, 0xd0009, 0x1d9c, 0xcc598, 0x25c81, 0x47304, 0xc0004, 0x3cc41, 0xcf758, 0x11415f, 0x1d11f7, 0x128280, 0x1b9027, 0x1070ce, 0x10eb5e, 0x5c0ec, 0x2097e0});
+constexpr StatTableTRI22 QRT_TABLE_TRI22({0x210d16, 0x104a, 0x1048, 0x4088, 0x104c, 0x200420, 0x4080, 0x492dc, 0x105c, 0x1a67f0, 0x200400, 0x21155c, 0x40c0, 0x20346c, 0x4925c, 0x1af7ac, 0x115c, 0x2274ac, 0x1a65f0, 0x2a65f0, 0x200000, 0});
+typedef FieldTri<uint32_t, 22, 1, StatTableTRI22, &SQR_TABLE_TRI22, &SQR2_TABLE_TRI22, &SQR4_TABLE_TRI22, &SQR8_TABLE_TRI22, &QRT_TABLE_TRI22, &QRT_TABLE_TRI22, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri22;
+#endif
+
+#ifdef ENABLE_FIELD_INT_23
+// 23 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 5> StatTable23;
+constexpr StatTable23 SQR_TABLE_23({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x42, 0x108, 0x420, 0x1080, 0x4200, 0x10800, 0x42000, 0x108000, 0x420000, 0x80042, 0x200108});
+constexpr StatTable23 SQR2_TABLE_23({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x42, 0x420, 0x4200, 0x42000, 0x420000, 0x200108, 0x1004, 0x10040, 0x100400, 0x4042, 0x40420, 0x404200, 0x42108, 0x421080, 0x210908, 0x109004, 0x90002});
+constexpr StatTable23 SQR4_TABLE_23({0x1, 0x10000, 0x4200, 0x1004, 0x40420, 0x210908, 0x52, 0x520000, 0x142400, 0x52148, 0x494202, 0x10c204, 0x1104, 0x40462, 0x630908, 0x100452, 0x562108, 0x1d2402, 0x57348, 0x495626, 0x34c72c, 0x21584e, 0x4614b0});
+constexpr StatTable23 SQR8_TABLE_23({0x1, 0x562108, 0x662840, 0x5304, 0x6d3842, 0x738f46, 0x50472, 0x6ff79e, 0x7cf204, 0x436274, 0x3e4bde, 0x42a93e, 0x147704, 0x6c3810, 0x28bff4, 0x78815c, 0x7ab4b0, 0x62852a, 0x255b30, 0x5653d0, 0x1afd36, 0x5f118, 0x601dd4});
+constexpr StatTable23 QRT_TABLE_23({0, 0x1040, 0x1042, 0x43056, 0x1046, 0x121d76, 0x4305e, 0x40a0, 0x1056, 0x15176, 0x121d56, 0x7ee1f6, 0x4301e, 0x40000, 0x4020, 0x4f0be, 0x1156, 0x7cf0a0, 0x15376, 0x1ee9e8, 0x121956, 0x3ac9f6, 0x7ee9f6});
+typedef Field<uint32_t, 23, 33, StatTable23, &SQR_TABLE_23, &SQR2_TABLE_23, &SQR4_TABLE_23, &SQR8_TABLE_23, &QRT_TABLE_23, &QRT_TABLE_23, IdTrans, &ID_TRANS, &ID_TRANS> Field23;
+typedef FieldTri<uint32_t, 23, 5, RecLinTrans<uint32_t, 6, 6, 6, 5>, &SQR_TABLE_23, &SQR2_TABLE_23, &SQR4_TABLE_23, &SQR8_TABLE_23, nullptr, &QRT_TABLE_23, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri23;
+#endif
+
+#ifdef ENABLE_FIELD_INT_24
+// 24 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 6> StatTable24;
+constexpr StatTable24 SQR_TABLE_24({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1b, 0x6c, 0x1b0, 0x6c0, 0x1b00, 0x6c00, 0x1b000, 0x6c000, 0x1b0000, 0x6c0000, 0xb0001b, 0xc0005a});
+constexpr StatTable24 SQR2_TABLE_24({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1b, 0x1b0, 0x1b00, 0x1b000, 0x1b0000, 0xb0001b, 0x145, 0x1450, 0x14500, 0x145000, 0x45001b, 0x5001dc, 0x1db7, 0x1db70, 0x1db700, 0xdb701b, 0xb7011f, 0x701105});
+constexpr StatTable24 SQR4_TABLE_24({0x1, 0x10000, 0x1b00, 0x145, 0x45001b, 0x1db700, 0x11011, 0x111ab0, 0xb1aa5e, 0x51450e, 0x96db7, 0xb7c60f, 0x1a1a, 0x1a015e, 0x5f5e1b, 0x1ceef2, 0xf30ca2, 0xabbdb4, 0xba1aff, 0xf0bf5e, 0x579fc9, 0xce3da9, 0xa2c07f, 0x71dd40});
+constexpr StatTable24 SQR8_TABLE_24({0x1, 0xf30ca2, 0x573345, 0xb0a14e, 0xafd77d, 0x1419b, 0xb616a2, 0xba7db, 0xbe1560, 0xe0d0a3, 0x15bf5, 0x1056dd, 0xa29845, 0xf83d32, 0x13e0e9, 0xe2d8d3, 0xa10841, 0x57ac5a, 0x1c432f, 0x57044e, 0x454fba, 0x2bb37c, 0xf50fa, 0x85d5b9});
+constexpr StatTable24 QRT_TABLE_24({0x104e, 0xaf42a8, 0xaf42aa, 0xb78186, 0xaf42ae, 0x4090, 0xb7818e, 0x4a37c, 0xaf42be, 0x3688c0, 0x40b0, 0x80080e, 0xb781ce, 0xaf2232, 0x4a3fc, 0x856a82, 0xaf43be, 0x29c970, 0x368ac0, 0x968ace, 0x44b0, 0x77d570, 0x80000e, 0});
+typedef Field<uint32_t, 24, 27, StatTable24, &SQR_TABLE_24, &SQR2_TABLE_24, &SQR4_TABLE_24, &SQR8_TABLE_24, &QRT_TABLE_24, &QRT_TABLE_24, IdTrans, &ID_TRANS, &ID_TRANS> Field24;
+#endif
+}
+
+Sketch* ConstructClMul3Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_17
+ case 17: return new SketchImpl<Field17>(implementation, 17);
+#endif
+#ifdef ENABLE_FIELD_INT_18
+ case 18: return new SketchImpl<Field18>(implementation, 18);
+#endif
+#ifdef ENABLE_FIELD_INT_19
+ case 19: return new SketchImpl<Field19>(implementation, 19);
+#endif
+#ifdef ENABLE_FIELD_INT_20
+ case 20: return new SketchImpl<Field20>(implementation, 20);
+#endif
+#ifdef ENABLE_FIELD_INT_21
+ case 21: return new SketchImpl<Field21>(implementation, 21);
+#endif
+#ifdef ENABLE_FIELD_INT_23
+ case 23: return new SketchImpl<Field23>(implementation, 23);
+#endif
+#ifdef ENABLE_FIELD_INT_24
+ case 24: return new SketchImpl<Field24>(implementation, 24);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri3Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_17
+ case 17: return new SketchImpl<FieldTri17>(implementation, 17);
+#endif
+#ifdef ENABLE_FIELD_INT_18
+ case 18: return new SketchImpl<FieldTri18>(implementation, 18);
+#endif
+#ifdef ENABLE_FIELD_INT_20
+ case 20: return new SketchImpl<FieldTri20>(implementation, 20);
+#endif
+#ifdef ENABLE_FIELD_INT_21
+ case 21: return new SketchImpl<FieldTri21>(implementation, 21);
+#endif
+#ifdef ENABLE_FIELD_INT_22
+ case 22: return new SketchImpl<FieldTri22>(implementation, 22);
+#endif
+#ifdef ENABLE_FIELD_INT_23
+ case 23: return new SketchImpl<FieldTri23>(implementation, 23);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_4bytes.cpp b/src/minisketch/src/fields/clmul_4bytes.cpp
new file mode 100644
index 0000000000..c65974394c
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_4bytes.cpp
@@ -0,0 +1,158 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_4)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_25
+// 25 bit field
+typedef RecLinTrans<uint32_t, 5, 5, 5, 5, 5> StatTable25;
+constexpr StatTable25 SQR_TABLE_25({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x48000, 0x120000, 0x480000, 0x1200000, 0x800012});
+constexpr StatTable25 SQR2_TABLE_25({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x48, 0x480, 0x4800, 0x48000, 0x480000, 0x800012, 0x104, 0x1040, 0x10400, 0x104000, 0x1040000, 0x400048, 0x492, 0x4920, 0x49200, 0x492000, 0x920012, 0x1200104});
+constexpr StatTable25 SQR4_TABLE_25({0x1, 0x10000, 0x480, 0x800012, 0x104000, 0x4920, 0x1200104, 0x1001000, 0x48048, 0x481040, 0x410448, 0x492492, 0x930002, 0x580, 0x1800012, 0x14c000, 0x5960, 0x160014c, 0x1493000, 0x58058, 0x5814c0, 0xc14c5a, 0x596596, 0x1974922, 0x1249684});
+constexpr StatTable25 SQR8_TABLE_25({0x1, 0x5960, 0x1411448, 0x1860922, 0x1d814d2, 0x1cdede8, 0x1e15e16, 0x1b79686, 0xfdf116, 0x1efe4c8, 0x1b839a8, 0x10ced66, 0xae05ce, 0x1459400, 0xa29fa6, 0x85e4d2, 0x7eecee, 0x183a96, 0x1eb2fa8, 0xede876, 0xf6e440, 0x1f7140a, 0xd07d7c, 0x10e4ea2, 0x1222a54});
+constexpr StatTable25 QRT_TABLE_25({0, 0x482110, 0x482112, 0x1b3c3e6, 0x482116, 0x4960ae, 0x1b3c3ee, 0x4088, 0x482106, 0x58a726, 0x49608e, 0x5ce52e, 0x1b3c3ae, 0x2006, 0x4008, 0x1c1a8, 0x482006, 0x1e96488, 0x58a526, 0x400000, 0x49648e, 0x1800006, 0x5ced2e, 0xb3d3a8, 0x1b3d3ae});
+typedef Field<uint32_t, 25, 9, StatTable25, &SQR_TABLE_25, &SQR2_TABLE_25, &SQR4_TABLE_25, &SQR8_TABLE_25, &QRT_TABLE_25, &QRT_TABLE_25, IdTrans, &ID_TRANS, &ID_TRANS> Field25;
+typedef FieldTri<uint32_t, 25, 3, RecLinTrans<uint32_t, 5, 5, 5, 5, 5>, &SQR_TABLE_25, &SQR2_TABLE_25, &SQR4_TABLE_25, &SQR8_TABLE_25, &QRT_TABLE_25, &QRT_TABLE_25, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri25;
+#endif
+
+#ifdef ENABLE_FIELD_INT_26
+// 26 bit field
+typedef RecLinTrans<uint32_t, 6, 5, 5, 5, 5> StatTable26;
+constexpr StatTable26 SQR_TABLE_26({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x1b, 0x6c, 0x1b0, 0x6c0, 0x1b00, 0x6c00, 0x1b000, 0x6c000, 0x1b0000, 0x6c0000, 0x1b00000, 0x2c0001b, 0x300005a});
+constexpr StatTable26 SQR2_TABLE_26({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x6c, 0x6c0, 0x6c00, 0x6c000, 0x6c0000, 0x2c0001b, 0x145, 0x1450, 0x14500, 0x145000, 0x1450000, 0x500077, 0x100076b, 0x76dc, 0x76dc0, 0x76dc00, 0x36dc01b, 0x2dc011f, 0x1c01105});
+constexpr StatTable26 SQR4_TABLE_26({0x1, 0x10000, 0x6c0, 0x2c0001b, 0x145000, 0x76dc, 0x2dc011f, 0x1101100, 0x106ac6c, 0x6ad515, 0x1145127, 0x121b6dc, 0x2da1d0f, 0x10007c1, 0x3c7c01b, 0x128290, 0x29062e0, 0x2ee8d68, 0x167abcd, 0x3cabbce, 0x3c7a862, 0x6b83ce, 0x3cf5620, 0x229b787, 0x38a6b0f, 0x3071ade});
+constexpr StatTable26 SQR8_TABLE_26({0x1, 0x29062e0, 0x2b2942d, 0x34ab63, 0x3bddebb, 0x7b1823, 0x58b9ae, 0x391720e, 0x1385e18, 0x3891746, 0x13069c5, 0x2dfd089, 0x12a35ff, 0x3e534f, 0x172c6a2, 0x55338f, 0x3887137, 0x3f45b03, 0x164a695, 0x2c7e7ef, 0x29c907d, 0x636c85, 0x3db4007, 0x97e7ff, 0x3cbfe55, 0x31c0d96});
+constexpr StatTable26 QRT_TABLE_26({0x217b530, 0x2ae82a8, 0x2ae82aa, 0x2001046, 0x2ae82ae, 0x2de032e, 0x200104e, 0x70c10c, 0x2ae82be, 0x20151f2, 0x2de030e, 0xbc1400, 0x200100e, 0x178570, 0x70c18c, 0x2ae4232, 0x2ae83be, 0x211d742, 0x20153f2, 0x21f54f2, 0x2de070e, 0x5e0700, 0xbc1c00, 0x3abb97e, 0x200000e, 0});
+typedef Field<uint32_t, 26, 27, StatTable26, &SQR_TABLE_26, &SQR2_TABLE_26, &SQR4_TABLE_26, &SQR8_TABLE_26, &QRT_TABLE_26, &QRT_TABLE_26, IdTrans, &ID_TRANS, &ID_TRANS> Field26;
+#endif
+
+#ifdef ENABLE_FIELD_INT_27
+// 27 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5, 5, 5> StatTable27;
+constexpr StatTable27 SQR_TABLE_27({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x4e, 0x138, 0x4e0, 0x1380, 0x4e00, 0x13800, 0x4e000, 0x138000, 0x4e0000, 0x1380000, 0x4e00000, 0x380004e, 0x600011f});
+constexpr StatTable27 SQR2_TABLE_27({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x4e, 0x4e0, 0x4e00, 0x4e000, 0x4e0000, 0x4e00000, 0x600011f, 0x1054, 0x10540, 0x105400, 0x1054000, 0x54004e, 0x54004e0, 0x4004f76, 0x4f658, 0x4f6580, 0x4f65800, 0x765811f, 0x658101a, 0x5810004});
+constexpr StatTable27 SQR4_TABLE_27({0x1, 0x10000, 0x4e0, 0x4e00000, 0x105400, 0x4004f76, 0x765811f, 0x1001110, 0x114e04e, 0x4abe54, 0x6551445, 0x45e212e, 0x13ccbdc, 0x3d805ef, 0x5e10100, 0x114b0e0, 0xe4bf22, 0x721c505, 0x51b3ba8, 0x3bf04d5, 0x4dabba0, 0x3b0aa45, 0x24a80cb, 0xc3d4b0, 0x4b34626, 0x6372e18, 0x6028c1b});
+constexpr StatTable27 SQR8_TABLE_27({0x1, 0xe4bf22, 0x430cb3c, 0x73b7225, 0x6526539, 0x3c278e3, 0x4724a6e, 0x48b39b4, 0x1dbf7de, 0x106508, 0x3564785, 0x33ae33f, 0x61d6685, 0x6adaca3, 0x2786b6f, 0x4e76784, 0x869f42, 0x466b048, 0x415e00e, 0x46c3c9a, 0x73ffd91, 0x49002e0, 0x3734fed, 0x3c04a43, 0x191d3ee, 0xe828b9, 0xfab68c});
+constexpr StatTable27 QRT_TABLE_27({0x6bf0530, 0x2be4496, 0x2be4494, 0x2bf0522, 0x2be4490, 0x1896cca, 0x2bf052a, 0x408a, 0x2be4480, 0x368ae72, 0x1896cea, 0x18d2ee0, 0x2bf056a, 0x1c76d6a, 0x400a, 0x336e9f8, 0x2be4580, 0x36baf12, 0x368ac72, 0x430360, 0x18968ea, 0x34a6b80, 0x18d26e0, 0xbf1560, 0x2bf156a, 0, 0x1c74d6a});
+typedef Field<uint32_t, 27, 39, StatTable27, &SQR_TABLE_27, &SQR2_TABLE_27, &SQR4_TABLE_27, &SQR8_TABLE_27, &QRT_TABLE_27, &QRT_TABLE_27, IdTrans, &ID_TRANS, &ID_TRANS> Field27;
+#endif
+
+#ifdef ENABLE_FIELD_INT_28
+// 28 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 5, 5> StatTableTRI28;
+constexpr StatTableTRI28 SQR_TABLE_TRI28({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000});
+constexpr StatTableTRI28 SQR2_TABLE_TRI28({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x3, 0x30, 0x300, 0x3000, 0x30000, 0x300000, 0x3000000, 0x5, 0x50, 0x500, 0x5000, 0x50000, 0x500000, 0x5000000, 0xf, 0xf0, 0xf00, 0xf000, 0xf0000, 0xf00000, 0xf000000});
+constexpr StatTableTRI28 SQR4_TABLE_TRI28({0x1, 0x10000, 0x30, 0x300000, 0x500, 0x5000000, 0xf000, 0x11, 0x110000, 0x330, 0x3300000, 0x5500, 0x500000f, 0xff000, 0x101, 0x1010000, 0x3030, 0x300005, 0x50500, 0x50000f0, 0xf0f000, 0x1111, 0x1110003, 0x33330, 0x3300055, 0x555500, 0x5000fff, 0xffff000});
+constexpr StatTableTRI28 SQR8_TABLE_TRI28({0x1, 0x3030, 0x5000500, 0xf0e111, 0x3210000, 0x6300faa, 0x40ef10e, 0x501, 0xf0c030, 0x5110630, 0x395b444, 0x621010e, 0x6010f9b, 0x13bc4cb, 0x110001, 0x3303065, 0xff50f, 0xf0e120, 0x3243530, 0x330fabb, 0x5ec232c, 0x511050e, 0x3c1c064, 0x2ec60a, 0x3954175, 0x7c5c43d, 0x20acba, 0x943bc43});
+constexpr StatTableTRI28 QRT_TABLE_TRI28({0x121d57a, 0x40216, 0x40214, 0x8112578, 0x40210, 0x10110, 0x8112570, 0x12597ec, 0x40200, 0x6983e00, 0x10130, 0x972b99c, 0x8112530, 0x8002000, 0x125976c, 0x815a76c, 0x40300, 0x936b29c, 0x6983c00, 0x97bb8ac, 0x10530, 0x9103000, 0x972b19c, 0xf6384ac, 0x8113530, 0x4113530, 0x8000000, 0});
+typedef FieldTri<uint32_t, 28, 1, StatTableTRI28, &SQR_TABLE_TRI28, &SQR2_TABLE_TRI28, &SQR4_TABLE_TRI28, &SQR8_TABLE_TRI28, &QRT_TABLE_TRI28, &QRT_TABLE_TRI28, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri28;
+#endif
+
+#ifdef ENABLE_FIELD_INT_29
+// 29 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 6, 5> StatTable29;
+constexpr StatTable29 SQR_TABLE_29({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0xa, 0x28, 0xa0, 0x280, 0xa00, 0x2800, 0xa000, 0x28000, 0xa0000, 0x280000, 0xa00000, 0x2800000, 0xa000000, 0x8000005});
+constexpr StatTable29 SQR2_TABLE_29({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x28, 0x280, 0x2800, 0x28000, 0x280000, 0x2800000, 0x8000005, 0x44, 0x440, 0x4400, 0x44000, 0x440000, 0x4400000, 0x400000a, 0xaa, 0xaa0, 0xaa00, 0xaa000, 0xaa0000, 0xaa00000, 0xa000011});
+constexpr StatTable29 SQR4_TABLE_29({0x1, 0x10000, 0x28, 0x280000, 0x440, 0x4400000, 0xaa00, 0xa000011, 0x101000, 0x10000280, 0x2828000, 0x4444, 0x444000a, 0xaaaa0, 0xaa00101, 0x1000100, 0x1002800, 0x8002805, 0x8044005, 0x440aa, 0xaa00aa, 0xaa1010, 0x10101010, 0x10128280, 0x28282c4, 0x2c44444, 0x4444eaa, 0xeaaaaaa, 0xaaba001});
+constexpr StatTable29 SQR8_TABLE_29({0x1, 0x1002800, 0x4680000, 0xae50ba, 0x2822a00, 0x14545eba, 0x110aed64, 0xc6eeaaf, 0x4ee00a0, 0x10aba290, 0x1bd6efc1, 0x8222b29, 0x1c791ebf, 0x174e85da, 0x1cc66c7f, 0x29292c4, 0x2886c20, 0xea04467, 0xc0eeb87, 0xccd4115, 0x16d5fa2e, 0x1cf8fe75, 0xe45a4e1, 0x19018b3f, 0x1d64778, 0x2e0bdf8, 0xa1bd96b, 0xff5b70e, 0x14d89770});
+constexpr StatTable29 QRT_TABLE_29({0x1b8351dc, 0xb87135e, 0xb87135c, 0xda7b35e, 0xb871358, 0x621a116, 0xda7b356, 0x40200, 0xb871348, 0xc9e2620, 0x621a136, 0x478b16, 0xda7b316, 0x6762e20, 0x40280, 0x6202000, 0xb871248, 0x627a316, 0xc9e2420, 0xcd1ad36, 0x621a536, 0x760e20, 0x478316, 0xa760e20, 0xda7a316, 0x8000000, 0x6760e20, 0, 0x44280});
+typedef Field<uint32_t, 29, 5, StatTable29, &SQR_TABLE_29, &SQR2_TABLE_29, &SQR4_TABLE_29, &SQR8_TABLE_29, &QRT_TABLE_29, &QRT_TABLE_29, IdTrans, &ID_TRANS, &ID_TRANS> Field29;
+typedef FieldTri<uint32_t, 29, 2, RecLinTrans<uint32_t, 6, 6, 6, 6, 5>, &SQR_TABLE_29, &SQR2_TABLE_29, &SQR4_TABLE_29, &SQR8_TABLE_29, &QRT_TABLE_29, &QRT_TABLE_29, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri29;
+#endif
+
+#ifdef ENABLE_FIELD_INT_30
+// 30 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 6, 6> StatTableTRI30;
+constexpr StatTableTRI30 SQR_TABLE_TRI30({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000, 0x30000000});
+constexpr StatTableTRI30 SQR2_TABLE_TRI30({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0xc, 0xc0, 0xc00, 0xc000, 0xc0000, 0xc00000, 0xc000000, 0x5, 0x50, 0x500, 0x5000, 0x50000, 0x500000, 0x5000000, 0x10000003, 0x3c, 0x3c0, 0x3c00, 0x3c000, 0x3c0000, 0x3c00000, 0x3c000000});
+constexpr StatTableTRI30 SQR4_TABLE_TRI30({0x1, 0x10000, 0xc, 0xc0000, 0x50, 0x500000, 0x3c0, 0x3c00000, 0x1100, 0x11000000, 0xcc00, 0xc000005, 0x55000, 0x1000003f, 0x3fc000, 0x101, 0x1010000, 0xc0c, 0xc0c0000, 0x5050, 0x10500003, 0x3c3c0, 0x3c00011, 0x111100, 0x110000cc, 0xcccc00, 0xc000555, 0x5555000, 0x10003fff, 0x3fffc000});
+constexpr StatTableTRI30 SQR8_TABLE_TRI30({0x1, 0x1010000, 0xc000c, 0xc0c5050, 0x390, 0x13900012, 0x12c012c0, 0x121ddddd, 0x54100, 0x1003f33, 0xc3f0d04, 0x9555558, 0xd379000, 0x105d3fa2, 0x1d615e9e, 0x1101, 0x100100cc, 0xc0ccc09, 0x5590505, 0x3a9390, 0x3913fec, 0x13fedfcd, 0x121ddd8c, 0x11544103, 0x2cc3cff, 0x3e24c45, 0x9558bc8, 0x3a7958b, 0x1e98b158, 0x29d629e9});
+constexpr StatTableTRI30 QRT_TABLE_TRI30({0x2159df4a, 0x109134a, 0x1091348, 0x10114, 0x109134c, 0x3a203420, 0x1011c, 0x20004080, 0x109135c, 0x2005439c, 0x3a203400, 0x100400, 0x1015c, 0x3eb21930, 0x20004000, 0x20504c00, 0x109125c, 0x3b2b276c, 0x2005419c, 0x210450c0, 0x3a203000, 0x3e93186c, 0x100c00, 0x3aa23530, 0x1115c, 0x6b3286c, 0x3eb23930, 0xeb23930, 0x20000000, 0});
+typedef FieldTri<uint32_t, 30, 1, StatTableTRI30, &SQR_TABLE_TRI30, &SQR2_TABLE_TRI30, &SQR4_TABLE_TRI30, &SQR8_TABLE_TRI30, &QRT_TABLE_TRI30, &QRT_TABLE_TRI30, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri30;
+#endif
+
+#ifdef ENABLE_FIELD_INT_31
+// 31 bit field
+typedef RecLinTrans<uint32_t, 6, 5, 5, 5, 5, 5> StatTable31;
+constexpr StatTable31 SQR_TABLE_31({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x48000, 0x120000, 0x480000, 0x1200000, 0x4800000, 0x12000000, 0x48000000, 0x20000012});
+constexpr StatTable31 SQR2_TABLE_31({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x12, 0x120, 0x1200, 0x12000, 0x120000, 0x1200000, 0x12000000, 0x20000012, 0x104, 0x1040, 0x10400, 0x104000, 0x1040000, 0x10400000, 0x4000012, 0x40000120, 0x1248, 0x12480, 0x124800, 0x1248000, 0x12480000, 0x24800012, 0x48000104});
+constexpr StatTable31 SQR4_TABLE_31({0x1, 0x10000, 0x12, 0x120000, 0x104, 0x1040000, 0x1248, 0x12480000, 0x10010, 0x100012, 0x120120, 0x1200104, 0x1041040, 0x10401248, 0x12492480, 0x24810002, 0x112, 0x1120000, 0x1304, 0x13040000, 0x11648, 0x16480012, 0x134810, 0x48100116, 0x1121120, 0x11201304, 0x13053040, 0x3041165a, 0x16596492, 0x64934922, 0x49248016});
+constexpr StatTable31 SQR8_TABLE_31({0x1, 0x112, 0x10104, 0x1131648, 0x10002, 0x1120224, 0x106021a, 0x146e3f86, 0x16, 0x174c, 0x161658, 0x175b1130, 0x16002c, 0x174c2e98, 0x16742dfc, 0x3f877966, 0x114, 0x10768, 0x1151050, 0x66b75b2, 0x1140228, 0x76a0ec2, 0x127a33da, 0x79648102, 0x1738, 0x1665f0, 0x172f64e0, 0x73cc668c, 0x17382e70, 0x65dccaac, 0x4abf956e});
+constexpr StatTable31 QRT_TABLE_31({0, 0x10110, 0x10112, 0x15076e, 0x10116, 0x117130e, 0x150766, 0x4743fa0, 0x10106, 0x1121008, 0x117132e, 0x176b248e, 0x150726, 0x172a2c88, 0x4743f20, 0x7eb81e86, 0x10006, 0x20008, 0x1121208, 0x56b2c8e, 0x117172e, 0x133f1bae, 0x176b2c8e, 0x7f2a0c8e, 0x151726, 0x10000000, 0x172a0c88, 0x60000006, 0x4747f20, 0x3eb89e80, 0x7eb89e86});
+typedef Field<uint32_t, 31, 9, StatTable31, &SQR_TABLE_31, &SQR2_TABLE_31, &SQR4_TABLE_31, &SQR8_TABLE_31, &QRT_TABLE_31, &QRT_TABLE_31, IdTrans, &ID_TRANS, &ID_TRANS> Field31;
+typedef FieldTri<uint32_t, 31, 3, RecLinTrans<uint32_t, 6, 5, 5, 5, 5, 5>, &SQR_TABLE_31, &SQR2_TABLE_31, &SQR4_TABLE_31, &SQR8_TABLE_31, &QRT_TABLE_31, &QRT_TABLE_31, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri31;
+#endif
+
+#ifdef ENABLE_FIELD_INT_32
+// 32 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5, 5, 5, 5> StatTable32;
+constexpr StatTable32 SQR_TABLE_32({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x8d, 0x234, 0x8d0, 0x2340, 0x8d00, 0x23400, 0x8d000, 0x234000, 0x8d0000, 0x2340000, 0x8d00000, 0x23400000, 0x8d000000, 0x3400011a, 0xd0000468, 0x40001037});
+constexpr StatTable32 SQR2_TABLE_32({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x8d, 0x8d0, 0x8d00, 0x8d000, 0x8d0000, 0x8d00000, 0x8d000000, 0xd0000468, 0x4051, 0x40510, 0x405100, 0x4051000, 0x40510000, 0x5100234, 0x51002340, 0x100236b9, 0x236b1d, 0x236b1d0, 0x236b1d00, 0x36b1d11a, 0x6b1d1037, 0xb1d1005e, 0x1d10001f, 0xd100017d});
+constexpr StatTable32 SQR4_TABLE_32({0x1, 0x10000, 0x8d, 0x8d0000, 0x4051, 0x40510000, 0x236b1d, 0x6b1d1037, 0x10001101, 0x1109d000, 0xd00859e5, 0x59881468, 0x144737e8, 0x37e2c4e3, 0xc4f9a67a, 0xa61d8c55, 0x8c010001, 0x41dc8d, 0xdc8d23cd, 0x23a60c51, 0xc41630e, 0x63087fcd, 0x7ffe7368, 0x735580f6, 0x80cd8e29, 0x8e6fe311, 0xe350f32b, 0xf35edc90, 0xdced0bd6, 0xbbd3eb1, 0x3eb4a621, 0xa63f6bc4});
+constexpr StatTable32 SQR8_TABLE_32({0x1, 0x8c010001, 0x6b9010bb, 0x7faf6b, 0xc4da8d37, 0xc10ab646, 0x445f546c, 0xe389129e, 0xd8aa2d3e, 0x85249468, 0xd599253f, 0x458976f9, 0xc9c86411, 0xccc2f34b, 0xa79e37dc, 0x9068e3c4, 0x3a30447f, 0x674c3398, 0x94f38a7, 0x402d3532, 0x116fffc7, 0x1c6b5ba2, 0xcd6a32e4, 0x49067a77, 0xa7f6a61e, 0x3cc3746, 0xeebe962e, 0x599276e1, 0x7b5fa4d9, 0x2aa3ce1, 0x990f8767, 0x1c3b66cb});
+constexpr StatTable32 QRT_TABLE_32({0x54fd1264, 0xc26fcd64, 0xc26fcd66, 0x238a7462, 0xc26fcd62, 0x973bccaa, 0x238a746a, 0x77766712, 0xc26fcd72, 0xc1bdd556, 0x973bcc8a, 0x572a094c, 0x238a742a, 0xb693be84, 0x77766792, 0x9555c03e, 0xc26fcc72, 0x568419f8, 0xc1bdd756, 0x96c3d2ca, 0x973bc88a, 0x54861fdc, 0x572a014c, 0xb79badc4, 0x238a642a, 0xb9b99fe0, 0xb6939e84, 0xc519fa86, 0x77762792, 0, 0x9555403e, 0x377627ba});
+typedef Field<uint32_t, 32, 141, StatTable32, &SQR_TABLE_32, &SQR2_TABLE_32, &SQR4_TABLE_32, &SQR8_TABLE_32, &QRT_TABLE_32, &QRT_TABLE_32, IdTrans, &ID_TRANS, &ID_TRANS> Field32;
+#endif
+}
+
+Sketch* ConstructClMul4Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_25
+ case 25: return new SketchImpl<Field25>(implementation, 25);
+#endif
+#ifdef ENABLE_FIELD_INT_26
+ case 26: return new SketchImpl<Field26>(implementation, 26);
+#endif
+#ifdef ENABLE_FIELD_INT_27
+ case 27: return new SketchImpl<Field27>(implementation, 27);
+#endif
+#ifdef ENABLE_FIELD_INT_29
+ case 29: return new SketchImpl<Field29>(implementation, 29);
+#endif
+#ifdef ENABLE_FIELD_INT_31
+ case 31: return new SketchImpl<Field31>(implementation, 31);
+#endif
+#ifdef ENABLE_FIELD_INT_32
+ case 32: return new SketchImpl<Field32>(implementation, 32);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri4Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_25
+ case 25: return new SketchImpl<FieldTri25>(implementation, 25);
+#endif
+#ifdef ENABLE_FIELD_INT_28
+ case 28: return new SketchImpl<FieldTri28>(implementation, 28);
+#endif
+#ifdef ENABLE_FIELD_INT_29
+ case 29: return new SketchImpl<FieldTri29>(implementation, 29);
+#endif
+#ifdef ENABLE_FIELD_INT_30
+ case 30: return new SketchImpl<FieldTri30>(implementation, 30);
+#endif
+#ifdef ENABLE_FIELD_INT_31
+ case 31: return new SketchImpl<FieldTri31>(implementation, 31);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_5bytes.cpp b/src/minisketch/src/fields/clmul_5bytes.cpp
new file mode 100644
index 0000000000..29c3fb10e7
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_5bytes.cpp
@@ -0,0 +1,174 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_5)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_33
+// 33 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 5, 5, 5> StatTable33;
+constexpr StatTable33 SQR_TABLE_33({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x802, 0x2008, 0x8020, 0x20080, 0x80200, 0x200800, 0x802000, 0x2008000, 0x8020000, 0x20080000, 0x80200000, 0x800401, 0x2001004, 0x8004010, 0x20010040, 0x80040100});
+constexpr StatTable33 SQR2_TABLE_33({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x2008, 0x20080, 0x200800, 0x2008000, 0x20080000, 0x800401, 0x8004010, 0x80040100, 0x400004, 0x4000040, 0x40000400, 0x4802, 0x48020, 0x480200, 0x4802000, 0x48020000, 0x80200802, 0x2009024, 0x20090240, 0x902001, 0x9020010, 0x90200100, 0x102000004, 0x20002048});
+constexpr StatTable33 SQR4_TABLE_33({0x1, 0x10000, 0x100000000, 0x2008000, 0x80040100, 0x4802, 0x48020000, 0x902001, 0x20002048, 0x20081000, 0x10400004, 0x248820, 0x88204812, 0x49020410, 0x4822081, 0x20880641, 0x6000044, 0x480300, 0x3009024, 0x90220180, 0xa00c11, 0xc104050, 0x40482608, 0x2688b024, 0xb0690344, 0x102248834, 0x8a30c912, 0xc8062518, 0x24886803, 0x684a0244, 0x294a025, 0xa020294a, 0x280a1010});
+constexpr StatTable33 SQR8_TABLE_33({0x1, 0x6000044, 0x280a1010, 0x122ac8e75, 0x83209926, 0x4a7a8a1, 0xcada863d, 0x6f2ab824, 0x6b4a8654, 0x70484bd6, 0x164c04e0b, 0x2fbc1617, 0xe095e5a3, 0xeaf7847d, 0xe5625e26, 0xa6aaa3e5, 0xc0164126, 0xd06217c0, 0x1ae58d21, 0xa8600250, 0xbaf87951, 0x8e12c19a, 0xa9b413b9, 0xb75ef087, 0x17e9214d9, 0x85968f33, 0x1e299478f, 0x92bc9a0f, 0x1975d642, 0x11af0b3f1, 0x4e86ee77, 0xe75f4726, 0x38026cce});
+constexpr StatTable33 SQR16_TABLE_33({0x1, 0x185df5e91, 0x193fb40eb, 0xd464f9e4, 0x1ba2d73a6, 0x1d9288c5e, 0x5de03a49, 0x1869ea37b, 0x13faaf379, 0x195d1a8f5, 0x6afd5625, 0xf9d75bab, 0xaf44fe50, 0x101034b9e, 0xcc889caf, 0x5ec7455, 0x7d232a66, 0x17dcfe2c3, 0x1c66ff8d0, 0x17107e836, 0x1939cdead, 0x9852afa0, 0x1b946909a, 0x1846638c5, 0xdd5fa94c, 0x1cb2600fe, 0x19241c856, 0x15fe05ccd, 0xc9f9a425, 0x89e0f463, 0x37b01b39, 0xab0410e0, 0x1ace4ca03});
+constexpr StatTable33 QRT_TABLE_33({0xba504dd4, 0x1e2798ef2, 0x1e2798ef0, 0x6698a4ec, 0x1e2798ef4, 0x1c7f1bef0, 0x6698a4e4, 0x16da1b384, 0x1e2798ee4, 0x661ca6ec, 0x1c7f1bed0, 0x1483b87a6, 0x6698a4a4, 0x800000, 0x16da1b304, 0x1a185101c, 0x1e2798fe4, 0xaa400954, 0x661ca4ec, 0x667caeec, 0x1c7f1bad0, 0x400800, 0x1483b8fa6, 0, 0x6698b4a4, 0x1c61da4b8, 0x802000, 0x16e5dadec, 0x16da1f304, 0x62fc8eec, 0x1a185901c, 0x1661da5ec, 0x1e2788fe4});
+typedef Field<uint64_t, 33, 1025, StatTable33, &SQR_TABLE_33, &SQR2_TABLE_33, &SQR4_TABLE_33, &SQR8_TABLE_33, &SQR16_TABLE_33, &QRT_TABLE_33, IdTrans, &ID_TRANS, &ID_TRANS> Field33;
+typedef FieldTri<uint64_t, 33, 10, RecLinTrans<uint64_t, 6, 6, 6, 5, 5, 5>, &SQR_TABLE_33, &SQR2_TABLE_33, &SQR4_TABLE_33, &SQR8_TABLE_33, &SQR16_TABLE_33, &QRT_TABLE_33, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri33;
+#endif
+
+#ifdef ENABLE_FIELD_INT_34
+// 34 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5> StatTable34;
+constexpr StatTable34 SQR_TABLE_34({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x81, 0x204, 0x810, 0x2040, 0x8100, 0x20400, 0x81000, 0x204000, 0x810000, 0x2040000, 0x8100000, 0x20400000, 0x81000000, 0x204000000, 0x10000102, 0x40000408, 0x100001020});
+constexpr StatTable34 SQR2_TABLE_34({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x204, 0x2040, 0x20400, 0x204000, 0x2040000, 0x20400000, 0x204000000, 0x40000408, 0x4001, 0x40010, 0x400100, 0x4001000, 0x40010000, 0x100081, 0x1000810, 0x10008100, 0x100081000, 0x810204, 0x8102040, 0x81020400, 0x10204102, 0x102041020, 0x20410004, 0x204100040, 0x41000008});
+constexpr StatTable34 SQR4_TABLE_34({0x1, 0x10000, 0x100000000, 0x204000, 0x40000408, 0x4001000, 0x10008100, 0x81020400, 0x204100040, 0x304, 0x3040000, 0x6041, 0x60410000, 0x1000c1010, 0x10304183, 0x4181020c, 0x102042060, 0x20400001, 0x50010, 0x100100081, 0xa14204, 0x142041428, 0x14001001, 0x10038500, 0x385020400, 0x204704140, 0x41000f1c, 0xf143040, 0x3041e145, 0x1e1430410, 0x3042c5050, 0x5030448b, 0x4481120c, 0x112048120});
+constexpr StatTable34 SQR8_TABLE_34({0x1, 0x102042060, 0x4481120c, 0x1523455ab, 0x307081050, 0x21410f1c, 0x275d0e309, 0x3f676408a, 0x143a54d38, 0x304100344, 0x181774550, 0x1003cd092, 0x3f36b6421, 0x164d51695, 0x3e7c7f2ab, 0x9309b234, 0x354f8d24c, 0x1f5431410, 0x142012478, 0xc5225409, 0x14033f3cf, 0x123bd530c, 0x1100ee58, 0x35490c368, 0x2e1f3dcba, 0x2018108d2, 0x3c61a735d, 0xbf8fa918, 0x282ab07ea, 0x19c32af, 0x175e54c02, 0x2e4dfe2bb, 0x3374ab928, 0x3124a055});
+constexpr StatTable34 SQR16_TABLE_34({0x1, 0x3448e6f02, 0x352590eb9, 0xb173da17, 0x264977d39, 0x172d45e48, 0x1e026e5d6, 0x357b54017, 0x2925d27a4, 0x1f6a32696, 0x2f49f220c, 0x3a7383d9e, 0x28111d79b, 0x5580fcf1, 0x276ede679, 0x175b379f8, 0x34d67b66, 0xc7019416, 0x3f3d9d59f, 0x2a7c2c032, 0x2b3482ba7, 0x177cd0128, 0x1d6f4bd2e, 0x31647a632, 0x41353027, 0x56292eea, 0x2733c0501, 0x6d7ed066, 0x2f3db9a75, 0x3225bc5cc, 0x3f22da089, 0xd0a7588e, 0xb60b22d1, 0xc2fddb7e});
+constexpr StatTable34 QRT_TABLE_34({0x2f973a1f6, 0x40202, 0x40200, 0x348102060, 0x40204, 0x8000420, 0x348102068, 0x1092195c8, 0x40214, 0x3f6881b6e, 0x8000400, 0x3f810383e, 0x348102028, 0x340002068, 0x109219548, 0x24015a774, 0x40314, 0x3f050343e, 0x3f688196e, 0x3f81c3a3a, 0x8000000, 0x24031a560, 0x3f810303e, 0xb08c1a12, 0x348103028, 0xb2881906, 0x340000068, 0, 0x10921d548, 0x2e131e576, 0x240152774, 0x18921d55e, 0x50314, 0x14015271c});
+typedef Field<uint64_t, 34, 129, StatTable34, &SQR_TABLE_34, &SQR2_TABLE_34, &SQR4_TABLE_34, &SQR8_TABLE_34, &SQR16_TABLE_34, &QRT_TABLE_34, IdTrans, &ID_TRANS, &ID_TRANS> Field34;
+typedef FieldTri<uint64_t, 34, 7, RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5>, &SQR_TABLE_34, &SQR2_TABLE_34, &SQR4_TABLE_34, &SQR8_TABLE_34, &SQR16_TABLE_34, &QRT_TABLE_34, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri34;
+#endif
+
+#ifdef ENABLE_FIELD_INT_35
+// 35 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5> StatTable35;
+constexpr StatTable35 SQR_TABLE_35({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0xa, 0x28, 0xa0, 0x280, 0xa00, 0x2800, 0xa000, 0x28000, 0xa0000, 0x280000, 0xa00000, 0x2800000, 0xa000000, 0x28000000, 0xa0000000, 0x280000000, 0x200000005});
+constexpr StatTable35 SQR2_TABLE_35({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0xa, 0xa0, 0xa00, 0xa000, 0xa0000, 0xa00000, 0xa000000, 0xa0000000, 0x200000005, 0x44, 0x440, 0x4400, 0x44000, 0x440000, 0x4400000, 0x44000000, 0x440000000, 0x400000028, 0x2a8, 0x2a80, 0x2a800, 0x2a8000, 0x2a80000, 0x2a800000, 0x2a8000000, 0x280000011});
+constexpr StatTable35 SQR4_TABLE_35({0x1, 0x10000, 0x100000000, 0xa000, 0xa0000000, 0x4400, 0x44000000, 0x2a80, 0x2a800000, 0x1010, 0x10100000, 0xa0a, 0xa0a0000, 0x200000445, 0x4444000, 0x4400002a8, 0x2aaa800, 0x2a8000101, 0x1000100, 0x10000a0, 0xa000a0, 0xa00044, 0x440044, 0x400440028, 0x4002a8028, 0x2802a8011, 0x280101011, 0x1010100a, 0x100a0a0a, 0x20a0a0a05, 0x20a044445, 0x444444440, 0x44442aaa8, 0x2aaaaaaa8, 0x2aaa90001});
+constexpr StatTable35 SQR8_TABLE_35({0x1, 0x2aaa800, 0x44442aaa8, 0x6400006ed, 0x64e4e4e45, 0x14544000, 0x8a145454, 0x2000034df, 0x49a749a36, 0xaa0a0000, 0x10aa0aaa, 0x1ba1a, 0x393a91ba, 0x3febaaaa9, 0x285105155, 0xa0ad9ad4, 0x269ce8d3b, 0x4de74f4e6, 0x42aaa8028, 0x4002aeea8, 0x400e46eec, 0x544e4006c, 0x145440144, 0x2abede545, 0x44309e74c, 0xa74eeda4, 0x64444ee49, 0x1aa1aaaa, 0x2b90bb1b1, 0x393902109, 0x16bc47bb2, 0x271ad1511, 0x6c8f98767, 0x69d3aa74c, 0x27790dc3b});
+constexpr StatTable35 SQR16_TABLE_35({0x1, 0x4c80f98a4, 0x763684437, 0x5a1cc86a0, 0x38922db8, 0x71755e12d, 0x2ca94c627, 0x388a2bc7f, 0x406596de0, 0x1818c6958, 0x174a92efe, 0x1a80c764e, 0x2f23eacbf, 0xd611ea8, 0x64d783fd5, 0x4fdfe0798, 0x31459de8d, 0x62c889d99, 0x9c419962, 0x2d8d865b3, 0x1ac7e7ffc, 0x38a0c12f3, 0x9fbc1076, 0x6f76d3b89, 0x6e472c757, 0x5f240de42, 0x10176ecc0, 0x20c1cef8, 0x8f77f91c, 0x3f6e533b9, 0x62017c147, 0x5ce81e2fa, 0x371fe4ad9, 0x2552b5046, 0xc3f3696c});
+constexpr StatTable35 QRT_TABLE_35({0x5c2038114, 0x2bf547ee8, 0x2bf547eea, 0x2bf1074e8, 0x2bf547eee, 0x1883d0736, 0x2bf1074e0, 0x100420, 0x2bf547efe, 0x400800, 0x1883d0716, 0x5e90e4a0, 0x2bf1074a0, 0x4e70ac20, 0x1004a0, 0x2f060c880, 0x2bf547ffe, 0x37d55fffe, 0x400a00, 0x3372573de, 0x1883d0316, 0x700c20, 0x5e90eca0, 0x10604880, 0x2bf1064a0, 0x18f35377e, 0x4e708c20, 0x33f557ffe, 0x1044a0, 0x1bf557ffe, 0x2f0604880, 0x200000000, 0x2bf557ffe, 0, 0x37d57fffe});
+typedef Field<uint64_t, 35, 5, StatTable35, &SQR_TABLE_35, &SQR2_TABLE_35, &SQR4_TABLE_35, &SQR8_TABLE_35, &SQR16_TABLE_35, &QRT_TABLE_35, IdTrans, &ID_TRANS, &ID_TRANS> Field35;
+typedef FieldTri<uint64_t, 35, 2, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5>, &SQR_TABLE_35, &SQR2_TABLE_35, &SQR4_TABLE_35, &SQR8_TABLE_35, &SQR16_TABLE_35, &QRT_TABLE_35, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri35;
+#endif
+
+#ifdef ENABLE_FIELD_INT_36
+// 36 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6> StatTable36;
+constexpr StatTable36 SQR_TABLE_36({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x201, 0x804, 0x2010, 0x8040, 0x20100, 0x80400, 0x201000, 0x804000, 0x2010000, 0x8040000, 0x20100000, 0x80400000, 0x201000000, 0x804000000, 0x10000402, 0x40001008, 0x100004020, 0x400010080});
+constexpr StatTable36 SQR2_TABLE_36({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x201, 0x2010, 0x20100, 0x201000, 0x2010000, 0x20100000, 0x201000000, 0x10000402, 0x100004020, 0x40001, 0x400010, 0x4000100, 0x40001000, 0x400010000, 0x100804, 0x1008040, 0x10080400, 0x100804000, 0x8040201, 0x80402010, 0x804020100, 0x40200008, 0x402000080, 0x20000004, 0x200000040, 0x2, 0x20});
+constexpr StatTable36 SQR4_TABLE_36({0x1, 0x10000, 0x100000000, 0x201000, 0x10000402, 0x4000100, 0x1008040, 0x80402010, 0x20000004, 0x200, 0x2000000, 0x4020, 0x40200000, 0x80002, 0x800020000, 0x201008000, 0x80400010, 0x4, 0x40000, 0x400000000, 0x804000, 0x40001008, 0x10000400, 0x4020100, 0x201008040, 0x80000010, 0x800, 0x8000000, 0x10080, 0x100800000, 0x200008, 0x80402, 0x804020000, 0x201000040, 0x10, 0x100000});
+constexpr StatTable36 SQR8_TABLE_36({0x1, 0x80400010, 0x804020000, 0x201008, 0x2000080, 0x20000804, 0x1008000, 0x402, 0x800000, 0x200, 0x80000010, 0x804020100, 0x40201000, 0x400010000, 0x100004, 0x201000000, 0x80400, 0x100000000, 0x40000, 0x10, 0x804000100, 0x40201008, 0x2010080, 0x20000800, 0x200008040, 0x10080000, 0x4020, 0x8000000, 0x2000, 0x800000100, 0x40200008, 0x402010000, 0x100804, 0x1000040, 0x10000402, 0x804000});
+constexpr StatTable36 SQR16_TABLE_36({0x1, 0x402000000, 0x100800020, 0x201000, 0x10080402, 0x800000000, 0x1008040, 0x400000, 0x20000800, 0x200, 0x400010080, 0x100000020, 0x40200000, 0x10080002, 0x20100, 0x201008000, 0x80000000, 0x100804, 0x40000, 0x2000080, 0x20, 0x40001008, 0x10000002, 0x4020000, 0x201008040, 0x2010, 0x20100800, 0x8000000, 0x400010000, 0x4000, 0x200008, 0x2, 0x804000000, 0x201000040, 0x402000, 0x20100804});
+constexpr StatTable36 QRT_TABLE_36({0x40200, 0x8b0526186, 0x8b0526184, 0x240001000, 0x8b0526180, 0xcb6894d94, 0x240001008, 0xdb6880c22, 0x8b0526190, 0x8000200, 0xcb6894db4, 0x500424836, 0x240001048, 0x406cb2834, 0xdb6880ca2, 0x241200008, 0x8b0526090, 0xdb05021a6, 0x8000000, 0xdb01829b2, 0xcb68949b4, 0x1001000, 0x500424036, 0x106116406, 0x240000048, 0xcb29968a4, 0x406cb0834, 0, 0xdb6884ca2, 0x110010516, 0x241208008, 0x430434520, 0x8b0536090, 0x41208040, 0xdb05221a6, 0xb6884d14});
+typedef Field<uint64_t, 36, 513, StatTable36, &SQR_TABLE_36, &SQR2_TABLE_36, &SQR4_TABLE_36, &SQR8_TABLE_36, &SQR16_TABLE_36, &QRT_TABLE_36, IdTrans, &ID_TRANS, &ID_TRANS> Field36;
+typedef FieldTri<uint64_t, 36, 9, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6>, &SQR_TABLE_36, &SQR2_TABLE_36, &SQR4_TABLE_36, &SQR8_TABLE_36, &SQR16_TABLE_36, &QRT_TABLE_36, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri36;
+#endif
+
+#ifdef ENABLE_FIELD_INT_37
+// 37 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 5, 5, 5, 5, 5> StatTable37;
+constexpr StatTable37 SQR_TABLE_37({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0xa6, 0x298, 0xa60, 0x2980, 0xa600, 0x29800, 0xa6000, 0x298000, 0xa60000, 0x2980000, 0xa600000, 0x29800000, 0xa6000000, 0x298000000, 0xa60000000, 0x980000053, 0x60000011f, 0x180000047c});
+constexpr StatTable37 SQR2_TABLE_37({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x298, 0x2980, 0x29800, 0x298000, 0x2980000, 0x29800000, 0x298000000, 0x980000053, 0x180000047c, 0x4414, 0x44140, 0x441400, 0x4414000, 0x44140000, 0x441400000, 0x4140000a6, 0x140000ac6, 0x140000ac60, 0xac43e, 0xac43e0, 0xac43e00, 0xac43e000, 0xac43e0000, 0xc43e0011f, 0x43e00101a, 0x3e0010106, 0x1e00101033});
+constexpr StatTable37 SQR4_TABLE_37({0x1, 0x10000, 0x100000000, 0x29800, 0x298000000, 0x44140, 0x441400000, 0xac43e, 0xac43e0000, 0x1e00101033, 0x1010011000, 0x11029a980, 0x9a982b1d3, 0x2b1c45014, 0x4501005f2, 0x1005f8ef80, 0x18efa98941, 0x9897de117, 0x1de10002ad, 0x2990398, 0x190398047c, 0x180443dee4, 0x3ded94ac6, 0x194ac071fa, 0x71c56e1a, 0x56e1adff2, 0x1adffa1690, 0x1a16a9ab31, 0x9ab0957cf, 0x957d85468, 0x18547edba2, 0x1edb9fc515, 0x1fc526c1a4, 0x6c1956aab, 0x156aa5b9d4, 0x5b9f59def, 0x159de6d961});
+constexpr StatTable37 SQR8_TABLE_37({0x1, 0x18efa98941, 0x1fc526c1a4, 0x11352e16c4, 0xba7aa5340, 0x17346e075f, 0xe91c746aa, 0xe560ac1bd, 0xa4544c5d9, 0x11bd3c631f, 0xd70c4b63c, 0xfe77d107c, 0x10548e5288, 0x1183954fb3, 0x19b3aa4bb, 0x782a2943c, 0x1c19ba61de, 0x6ad01fe38, 0xa22701577, 0xb96546ca0, 0x1d7c6c8b9c, 0xffef807e2, 0x16fcc14dc2, 0x110cc4e83c, 0xc3a35629a, 0x1062330476, 0xb2e5d1de1, 0x1ca4e3d229, 0x67826b51b, 0xe7e4c36e7, 0x59f1ac963, 0x12777f22c6, 0x13963d623a, 0x9e305ac92, 0x219b91d13, 0x175bebeb0d, 0xc6b7b5572});
+constexpr StatTable37 SQR16_TABLE_37({0x1, 0xcb88f2f8b, 0x1a2a0be7af, 0xb93048ada, 0x113ed92190, 0xc95a18e2b, 0x1e1cd4a85b, 0x19584a1a66, 0x1b947c28c2, 0x1b52b48e27, 0xe64e7b169, 0x14a256d011, 0xda657196d, 0x1947c1dcb4, 0x18b2fa3851, 0xae3d4171a, 0x658f1f4b9, 0x91852c314, 0x69346cf8e, 0x8224bf36c, 0x1086c810ed, 0x10419bc782, 0x57d6a4e36, 0xfbb31a43e, 0x18b502de05, 0x786795174, 0x1de0f1b7f3, 0x1d456b87dc, 0x1aabb2f3bc, 0xc5b80ef0c, 0x1ce4fd7543, 0x7ca740ca1, 0x29eaec26a, 0x1eb0b42043, 0xca3b2b17, 0x3453101c1, 0x1714c59187});
+constexpr StatTable37 QRT_TABLE_37({0xa3c62e7ba, 0xdc7a0c16a, 0xdc7a0c168, 0x12f7484546, 0xdc7a0c16c, 0xa9803a20, 0x12f748454e, 0xda07064a4, 0xdc7a0c17c, 0x123908de8e, 0xa9803a00, 0x122a888a8e, 0x12f748450e, 0x6790add8, 0xda0706424, 0x12e0a0384c, 0xdc7a0c07c, 0xcb28a2c2, 0x123908dc8e, 0xd09f85e86, 0xa9803e00, 0x124d682b6e, 0x122a88828e, 0x1738711a, 0x12f748550e, 0x73035b8, 0x67908dd8, 0xa0702438, 0xda0702424, 0xe0a0b860, 0x12e0a0b84c, 0x1c7a1c060, 0xdc7a1c07c, 0, 0xcb2aa2c2, 0x100000002c, 0x12390cdc8e});
+typedef Field<uint64_t, 37, 83, StatTable37, &SQR_TABLE_37, &SQR2_TABLE_37, &SQR4_TABLE_37, &SQR8_TABLE_37, &SQR16_TABLE_37, &QRT_TABLE_37, IdTrans, &ID_TRANS, &ID_TRANS> Field37;
+#endif
+
+#ifdef ENABLE_FIELD_INT_38
+// 38 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 5, 5, 5, 5> StatTable38;
+constexpr StatTable38 SQR_TABLE_38({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x63, 0x18c, 0x630, 0x18c0, 0x6300, 0x18c00, 0x63000, 0x18c000, 0x630000, 0x18c0000, 0x6300000, 0x18c00000, 0x63000000, 0x18c000000, 0x630000000, 0x18c0000000, 0x2300000063, 0xc0000014a, 0x3000000528});
+constexpr StatTable38 SQR2_TABLE_38({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x18c, 0x18c0, 0x18c00, 0x18c000, 0x18c0000, 0x18c00000, 0x18c000000, 0x18c0000000, 0xc0000014a, 0x1405, 0x14050, 0x140500, 0x1405000, 0x14050000, 0x140500000, 0x1405000000, 0x500001ef, 0x500001ef0, 0x100001ef63, 0x1ef7bc, 0x1ef7bc0, 0x1ef7bc00, 0x1ef7bc000, 0x1ef7bc0000, 0x2f7bc00129, 0x37bc00112d, 0x3bc0011027, 0x3c00110022});
+constexpr StatTable38 SQR4_TABLE_38({0x1, 0x10000, 0x100000000, 0x18c00, 0x18c000000, 0x14050, 0x140500000, 0x100001ef63, 0x1ef7bc000, 0x3bc0011027, 0x110001100, 0x110194c0, 0x194c0194c, 0x194d5455, 0xd5455154f, 0x151544a193, 0x4a18c631f, 0xc6319c6ca, 0x19c6c00014, 0x18c8d, 0x18c8d0000, 0xd00014096, 0x1409ddc00, 0x1ddc01efc6, 0x1efd5ab90, 0x15ab9110e1, 0x1110fe85b2, 0x3e85ab5465, 0x2b5445c97a, 0x5c9450993, 0x50994148f, 0x141488b12a, 0x8b134ee36, 0x34ee3a8ecc, 0x3a8ee3edc8, 0x23edeef7ed, 0x2ef7de8bf9, 0x1e8bc14041});
+constexpr StatTable38 SQR8_TABLE_38({0x1, 0x4a18c631f, 0x8b134ee36, 0x10b5c9474c, 0x3330e98ecb, 0x939897650, 0xd74b026b9, 0x860251dd9, 0x3afbe829b4, 0x3ae6afc308, 0x239ecafe00, 0x2acbc94749, 0x3a5770e19e, 0x4052e180b, 0x321fa15712, 0x3a8a4869ef, 0x1948598082, 0x3b1bd98542, 0xc1deb9112, 0x1b5c9242e, 0x338ba58e8b, 0x8abe06d20, 0x145bb1d2a9, 0x1d6e10fbf0, 0x197d522629, 0x2ff1bbe50d, 0xcc1594a16, 0xc94db1b03, 0x3b20e51c56, 0x101d1e5d07, 0x19472478f7, 0x269635a968, 0x2fd4a35802, 0x1b63e116b6, 0x19fdf9d22a, 0x2ef0e4d419, 0x3e80f730f4, 0x29869b04b9});
+constexpr StatTable38 SQR16_TABLE_38({0x1, 0x3f5fe2afaa, 0x4216541b5, 0x33b362f56a, 0x9d630d7e1, 0x11127694c1, 0x3f8daab2d6, 0x153ca20edc, 0x22a747a3de, 0xc6ab16040, 0x19cc9a7e37, 0x449d96001, 0x45a7e7c46, 0x36d11561ce, 0x114b93f52a, 0x42a87f1b3, 0x23112a30bc, 0x400df9212, 0x3aca9544df, 0x140c4b0bcf, 0x2ae2efa6d3, 0x2f7051159c, 0x19cca2f62e, 0x102023d8c0, 0xccc793f0b, 0x2ff4789b55, 0x339e4cd9ba, 0x2b02ab5052, 0x8c1b5db82, 0x2e461e4e32, 0xd93541605, 0x1acf12087, 0x33b88dca2b, 0x1e91723c8b, 0xd81047b2b, 0x2e5e54b97c, 0x85bb507d8, 0x2145b1864b});
+constexpr StatTable38 QRT_TABLE_38({0x34b0ac6430, 0x2223262fa, 0x2223262f8, 0x35554405fe, 0x2223262fc, 0x355514098a, 0x35554405f6, 0x400840, 0x2223262ec, 0x1777726532, 0x35551409aa, 0x15c06fc0, 0x35554405b6, 0x1f5303fec, 0x4008c0, 0x236a21030, 0x2223263ec, 0x1a9008c00, 0x1777726732, 0x3692c60ab6, 0x3555140daa, 0x15556007ee, 0x15c067c0, 0x14a0b030f2, 0x35554415b6, 0x227c06d168, 0x1f5301fec, 0x16c3928fc2, 0x4048c0, 0x3a942c4c0, 0x236a29030, 0x1636a2902e, 0x2223363ec, 0x3a6e898276, 0x1a9028c00, 0x6de74eb2c, 0x1777766732, 0});
+typedef Field<uint64_t, 38, 99, StatTable38, &SQR_TABLE_38, &SQR2_TABLE_38, &SQR4_TABLE_38, &SQR8_TABLE_38, &SQR16_TABLE_38, &QRT_TABLE_38, IdTrans, &ID_TRANS, &ID_TRANS> Field38;
+#endif
+
+#ifdef ENABLE_FIELD_INT_39
+// 39 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5> StatTable39;
+constexpr StatTable39 SQR_TABLE_39({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x22, 0x88, 0x220, 0x880, 0x2200, 0x8800, 0x22000, 0x88000, 0x220000, 0x880000, 0x2200000, 0x8800000, 0x22000000, 0x88000000, 0x220000000, 0x880000000, 0x2200000000, 0x800000011, 0x2000000044});
+constexpr StatTable39 SQR2_TABLE_39({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x22, 0x220, 0x2200, 0x22000, 0x220000, 0x2200000, 0x22000000, 0x220000000, 0x2200000000, 0x2000000044, 0x404, 0x4040, 0x40400, 0x404000, 0x4040000, 0x40400000, 0x404000000, 0x4040000000, 0x400000088, 0x4000000880, 0x8888, 0x88880, 0x888800, 0x8888000, 0x88880000, 0x888800000, 0x888000011, 0x880000101, 0x800001001});
+constexpr StatTable39 SQR4_TABLE_39({0x1, 0x10000, 0x100000000, 0x2200, 0x22000000, 0x404, 0x4040000, 0x400000088, 0x888800, 0x888000011, 0x100010, 0x1000100000, 0x1000022000, 0x220022000, 0x220004040, 0x40404040, 0x4040400880, 0x4008888880, 0x888888101, 0x881000001, 0x122, 0x1220000, 0x2200000022, 0x260400, 0x2604000000, 0x48c88, 0x48c880000, 0x800009889, 0x98881000, 0x810001221, 0x12201220, 0x2012200264, 0x2002604264, 0x6042604044, 0x604048c8c4, 0x48c8c8c880, 0x48c8898881, 0x988888881, 0x888802201});
+constexpr StatTable39 SQR8_TABLE_39({0x1, 0x4040400880, 0x2002604264, 0xaa8022011, 0x810049ea9, 0x100100010, 0xc04008101, 0x644048ea4c, 0x18c1764441, 0x60f8e8526c, 0x22000122, 0x48c88989a3, 0xae0032001, 0x2a7aeafae5, 0x6a76641225, 0x2036245242, 0x3e9ab0308b, 0x1c49f6fe41, 0x681b069e2d, 0x4edee8cae5, 0x898c04, 0x660daa8880, 0x69cae9ccc1, 0x4881320991, 0xd06280001, 0x1cc8c8e3d9, 0x445fc65628, 0x4c889a8a49, 0x300b8caeec, 0x50d842fc94, 0x1811acb89d, 0x9d22101c, 0x2025aa407e, 0x20370a744a, 0x3cf77cb80b, 0x54a13e66e7, 0x34c17e2e04, 0x5c19fe54c1, 0x6a72cc767d});
+constexpr StatTable39 SQR16_TABLE_39({0x1, 0x37214861ce, 0x689e897065, 0x5678d6ee60, 0x619da834c4, 0x28352752d3, 0x14fed69ec6, 0x5b3d4aa637, 0x682fb8da4d, 0x2ce48c5615, 0x1591ac539c, 0x72d4fbcd0, 0x346b547296, 0x1e7065d419, 0x4e6eb48571, 0x26615d4c2c, 0x60d1c6122e, 0x78d0e2a2eb, 0x52bb3e2980, 0x3c2592d0ab, 0x701ba76b58, 0x5fdf53b685, 0x57cfd2d120, 0x75559e4344, 0x3837a46907, 0x15f961a4ce, 0x397b9a03e9, 0x5a8dd4ab69, 0x3a6ab3356f, 0x215d39c25e, 0x5bbaf82443, 0x6759e3c88c, 0x3c0b862ca1, 0x37eec7e79e, 0x6ce865e38, 0x4a56a338c0, 0x5684636aee, 0x325a019126, 0x24f18a4ef6});
+constexpr StatTable39 QRT_TABLE_39({0x66b02a408c, 0x100420, 0x100422, 0x14206080, 0x100426, 0x5dccefab1c, 0x14206088, 0x9fc11e5b6, 0x100436, 0x5466bea62a, 0x5dccefab3c, 0x9aa110536, 0x142060c8, 0x54739ed6e2, 0x9fc11e536, 0xe7a82c080, 0x100536, 0x4002000, 0x5466bea42a, 0x6a4022000, 0x5dccefaf3c, 0x9e8118536, 0x9aa110d36, 0x5680e080, 0x142070c8, 0x7d293c5b6, 0x54739ef6e2, 0x8d680e080, 0x9fc11a536, 0x6d282c080, 0xe7a824080, 0x800000000, 0x110536, 0x2d680e080, 0x4022000, 0, 0x5466baa42a, 0x46b03a44aa, 0x6a40a2000});
+typedef Field<uint64_t, 39, 17, StatTable39, &SQR_TABLE_39, &SQR2_TABLE_39, &SQR4_TABLE_39, &SQR8_TABLE_39, &SQR16_TABLE_39, &QRT_TABLE_39, IdTrans, &ID_TRANS, &ID_TRANS> Field39;
+typedef FieldTri<uint64_t, 39, 4, RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5>, &SQR_TABLE_39, &SQR2_TABLE_39, &SQR4_TABLE_39, &SQR8_TABLE_39, &SQR16_TABLE_39, &QRT_TABLE_39, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri39;
+#endif
+
+#ifdef ENABLE_FIELD_INT_40
+// 40 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5> StatTable40;
+constexpr StatTable40 SQR_TABLE_40({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x39, 0xe4, 0x390, 0xe40, 0x3900, 0xe400, 0x39000, 0xe4000, 0x390000, 0xe40000, 0x3900000, 0xe400000, 0x39000000, 0xe4000000, 0x390000000, 0xe40000000, 0x3900000000, 0xe400000000, 0x900000004b, 0x400000015e});
+constexpr StatTable40 SQR2_TABLE_40({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x39, 0x390, 0x3900, 0x39000, 0x390000, 0x3900000, 0x39000000, 0x390000000, 0x3900000000, 0x900000004b, 0x541, 0x5410, 0x54100, 0x541000, 0x5410000, 0x54100000, 0x541000000, 0x5410000000, 0x41000000dd, 0x1000000d34, 0xd379, 0xd3790, 0xd37900, 0xd379000, 0xd3790000, 0xd37900000, 0xd379000000, 0x3790000115, 0x790000111b, 0x900001111f});
+constexpr StatTable40 SQR4_TABLE_40({0x1, 0x10000, 0x100000000, 0x3900, 0x39000000, 0x541, 0x5410000, 0x41000000dd, 0xd37900, 0xd379000000, 0x111001, 0x1110010000, 0x10003aa90, 0x3aa903900, 0x903900511a, 0x51051541, 0x515410de9, 0x410de9de4d, 0xe9de437815, 0x437801010e, 0x101000038, 0x383939, 0x3839390000, 0x3900057d41, 0x57d444100, 0x444100d6e5, 0xd6ebaa79, 0xebaa7911c6, 0x7911d2791a, 0xd2791102a9, 0x1102b82901, 0xb82902a972, 0x2a96bfed1, 0x6bfed16851, 0xd16859f42e, 0x59f43f61a8, 0x3f61a43794, 0xa43791de59, 0x91de42401f, 0x424000390e});
+constexpr StatTable40 SQR8_TABLE_40({0x1, 0x515410de9, 0x2a96bfed1, 0x13ba41ea90, 0x45bffe2b75, 0x5836900, 0x3887d7e690, 0xd34b688712, 0xc7a3d51557, 0xd1151ada71, 0x51442a740, 0x41cc5cbdb6, 0xc61a5701e9, 0x8757946d91, 0xa99e8b9e65, 0x80a0aca777, 0xc242b5c0e9, 0x6826eccb25, 0xad687ebd2d, 0xad5c69d802, 0x7ed2f8390, 0x51fa78eedf, 0xc0718c96f6, 0xaf4672a8c2, 0xc67436f2fd, 0x56ddb12767, 0x535afb0326, 0xbce1edda33, 0xef36202f0f, 0x45d13015ec, 0x104ab11aef, 0xef96c86d49, 0xc1b790bfc9, 0x2fa610e77f, 0x2a10a27d6e, 0xca5bb10773, 0xfdaf2b4642, 0xb3b4b7e20d, 0xe8bbe4d22e, 0xf9986bd2df});
+constexpr StatTable40 SQR16_TABLE_40({0x1, 0xe88450a7de, 0x3a0a56c3e8, 0x1684757d36, 0xc7f40bf3e9, 0x38aa7009c0, 0x2b6f129659, 0xd1e0fc42e5, 0x96150bc554, 0x9774ef4cc1, 0xd34eebf74d, 0x2d183441ec, 0xeedf6d1c78, 0x3f93c5d217, 0xb924305809, 0xc383bb7c14, 0x3f242bb94e, 0x9313556f6b, 0x2f5e1ecc6b, 0x2e7f9df195, 0xac8b882870, 0xd14f457f55, 0xf9f936148d, 0x719190770, 0x6838b41a21, 0xb95ff30106, 0xc1527dd1c5, 0xe858b5f9b6, 0x9368a791c2, 0x7de23878af, 0x95c610d398, 0xed0edcb032, 0x9548a680b0, 0xc133469e7b, 0x68c96ccbb2, 0x7773231ebb, 0xbd5ef4207c, 0xdf8bd59374, 0xb862414268, 0xfa62b39e42});
+constexpr StatTable40 QRT_TABLE_40({0x624b3cecc, 0xbc5c3f4c6, 0xbc5c3f4c4, 0xde1603e2c, 0xbc5c3f4c0, 0xaabec06cea, 0xde1603e24, 0x6cd9f724c2, 0xbc5c3f4d0, 0xcde1743818, 0xaabec06cca, 0xa138c314ca, 0xde1603e64, 0xaafc00f01a, 0x6cd9f72442, 0xcdca11bb4, 0xbc5c3f5d0, 0xa00002001a, 0xcde1743a18, 0xdf1407b90, 0xaabec068ca, 0xc043b482c8, 0xa138c31cca, 0xcb86977e3c, 0xde1602e64, 0x604596a326, 0xaafc00d01a, 0xcc1c165d0, 0x6cd9f76442, 0x673c94da26, 0xcdca19bb4, 0x67c0940a26, 0xbc5c2f5d0, 0xa4dca19bae, 0xa00000001a, 0x1bc5c2f5d0, 0xcde1703a18, 0, 0xdf1487b90, 0x8df1487b8a});
+typedef Field<uint64_t, 40, 57, StatTable40, &SQR_TABLE_40, &SQR2_TABLE_40, &SQR4_TABLE_40, &SQR8_TABLE_40, &SQR16_TABLE_40, &QRT_TABLE_40, IdTrans, &ID_TRANS, &ID_TRANS> Field40;
+#endif
+}
+
+Sketch* ConstructClMul5Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_33
+ case 33: return new SketchImpl<Field33>(implementation, 33);
+#endif
+#ifdef ENABLE_FIELD_INT_34
+ case 34: return new SketchImpl<Field34>(implementation, 34);
+#endif
+#ifdef ENABLE_FIELD_INT_35
+ case 35: return new SketchImpl<Field35>(implementation, 35);
+#endif
+#ifdef ENABLE_FIELD_INT_36
+ case 36: return new SketchImpl<Field36>(implementation, 36);
+#endif
+#ifdef ENABLE_FIELD_INT_37
+ case 37: return new SketchImpl<Field37>(implementation, 37);
+#endif
+#ifdef ENABLE_FIELD_INT_38
+ case 38: return new SketchImpl<Field38>(implementation, 38);
+#endif
+#ifdef ENABLE_FIELD_INT_39
+ case 39: return new SketchImpl<Field39>(implementation, 39);
+#endif
+#ifdef ENABLE_FIELD_INT_40
+ case 40: return new SketchImpl<Field40>(implementation, 40);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri5Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_33
+ case 33: return new SketchImpl<FieldTri33>(implementation, 33);
+#endif
+#ifdef ENABLE_FIELD_INT_34
+ case 34: return new SketchImpl<FieldTri34>(implementation, 34);
+#endif
+#ifdef ENABLE_FIELD_INT_35
+ case 35: return new SketchImpl<FieldTri35>(implementation, 35);
+#endif
+#ifdef ENABLE_FIELD_INT_36
+ case 36: return new SketchImpl<FieldTri36>(implementation, 36);
+#endif
+#ifdef ENABLE_FIELD_INT_39
+ case 39: return new SketchImpl<FieldTri39>(implementation, 39);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_6bytes.cpp b/src/minisketch/src/fields/clmul_6bytes.cpp
new file mode 100644
index 0000000000..d0e712400a
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_6bytes.cpp
@@ -0,0 +1,170 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_6)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_41
+// 41 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5> StatTable41;
+constexpr StatTable41 SQR_TABLE_41({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x48000, 0x120000, 0x480000, 0x1200000, 0x4800000, 0x12000000, 0x48000000, 0x120000000, 0x480000000, 0x1200000000, 0x4800000000, 0x12000000000, 0x8000000012});
+constexpr StatTable41 SQR2_TABLE_41({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x48, 0x480, 0x4800, 0x48000, 0x480000, 0x4800000, 0x48000000, 0x480000000, 0x4800000000, 0x8000000012, 0x104, 0x1040, 0x10400, 0x104000, 0x1040000, 0x10400000, 0x104000000, 0x1040000000, 0x10400000000, 0x4000000048, 0x492, 0x4920, 0x49200, 0x492000, 0x4920000, 0x49200000, 0x492000000, 0x4920000000, 0x9200000012, 0x12000000104});
+constexpr StatTable41 SQR4_TABLE_41({0x1, 0x10000, 0x100000000, 0x480, 0x4800000, 0x8000000012, 0x104000, 0x1040000000, 0x4920, 0x49200000, 0x12000000104, 0x1001000, 0x10010000000, 0x48048, 0x480480000, 0x4800001040, 0x10410400, 0x4104000048, 0x492492, 0x4924920000, 0x9200010002, 0x100000100, 0x1000480, 0x10004800000, 0x8000048012, 0x480104000, 0x1040001040, 0x10404920, 0x4049200048, 0x12000492104, 0x4921001000, 0x10010010010, 0x100148048, 0x1480480480, 0x4804805840, 0x8058410412, 0x410410414c, 0x10414d2492, 0x14d24924920, 0x9249259202, 0x12592000004});
+constexpr StatTable41 SQR8_TABLE_41({0x1, 0x10410400, 0x100148048, 0x13040000104, 0x11044801040, 0x924da49202, 0x9680490002, 0x82510514c, 0x8481485932, 0xc83144d832, 0x134d34d6db6, 0x18010048012, 0x165db20004c, 0x4800597052, 0x10131135cd0, 0xcd6cc30d32, 0x160586101cc, 0x15c64969da8, 0x179715681cc, 0x12f3c0ffc74, 0xc7dd3dd3ce, 0x10014c968, 0x1b040048116, 0x35d6801044, 0xda4deda6d0, 0x1de94c85852, 0x1083500114c, 0xc4c9685dfa, 0x18515c6d592, 0x17de69aed7e, 0x16c6c8a6c6c, 0x165cfe1044c, 0xdb004cf018, 0x7075031c98, 0x1d9a90b0d72, 0x1bb2485caee, 0x1cbe4dfd48a, 0x1f1540b7400, 0xc62bc7fd02, 0x147b5103f2e, 0x390ee8bcc6});
+constexpr StatTable41 SQR16_TABLE_41({0x1, 0x61deee38fe, 0xe00adae2e, 0x1ea53eaa95a, 0x503e540566, 0xabc8e7f89a, 0x1bf760d86ac, 0x94cce9c722, 0x15c8006ee5c, 0x7aba20c1da, 0x12662a9603e, 0x5fe76acec4, 0x1e6beca9e42, 0x1efc8f7a000, 0x165997c6d7e, 0xee947a07ee, 0xd9bd741142, 0xaa304566c0, 0x5fe336e356, 0x11f1021b80c, 0xd34e5a1674, 0x99ed56b9dc, 0x9afae0eca, 0x1a5830b390e, 0x1be1a63eb7e, 0x141e77e141c, 0xee3be92168, 0xa93823d65c, 0x18a59f4b19c, 0xce69942af6, 0x3f7b319c0e, 0xba83a4a7b4, 0x7da4b6fcde, 0x17f79268f10, 0x1222602d048, 0x1b4b2f326b8, 0x159abff0786, 0xb35534a7a2, 0x84bbc48050, 0x173d5cbf330, 0x2897dd6f58});
+constexpr StatTable41 QRT_TABLE_41({0, 0x1599a5e0b0, 0x1599a5e0b2, 0x105c119e0, 0x1599a5e0b6, 0x1a2030452a6, 0x105c119e8, 0x1a307c55b2e, 0x1599a5e0a6, 0x1ee3f47bc8e, 0x1a203045286, 0x400808, 0x105c119a8, 0x1a3038573a6, 0x1a307c55bae, 0x4d2882a520, 0x1599a5e1a6, 0x1ffbaa0b720, 0x1ee3f47be8e, 0x4d68c22528, 0x1a203045686, 0x200006, 0x400008, 0x1b79a21b200, 0x105c109a8, 0x1ef3886a526, 0x1a3038553a6, 0x1b692209200, 0x1a307c51bae, 0x5d99a4e1a6, 0x4d28822520, 0x185e109ae, 0x1599a4e1a6, 0x4e3f43be88, 0x1ffbaa2b720, 0x4000000000, 0x1ee3f43be8e, 0x18000000006, 0x4d68ca2528, 0xa203145680, 0x1a203145686});
+typedef Field<uint64_t, 41, 9, StatTable41, &SQR_TABLE_41, &SQR2_TABLE_41, &SQR4_TABLE_41, &SQR8_TABLE_41, &SQR16_TABLE_41, &QRT_TABLE_41, IdTrans, &ID_TRANS, &ID_TRANS> Field41;
+typedef FieldTri<uint64_t, 41, 3, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5>, &SQR_TABLE_41, &SQR2_TABLE_41, &SQR4_TABLE_41, &SQR8_TABLE_41, &SQR16_TABLE_41, &QRT_TABLE_41, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri41;
+#endif
+
+#ifdef ENABLE_FIELD_INT_42
+// 42 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6> StatTable42;
+constexpr StatTable42 SQR_TABLE_42({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x81, 0x204, 0x810, 0x2040, 0x8100, 0x20400, 0x81000, 0x204000, 0x810000, 0x2040000, 0x8100000, 0x20400000, 0x81000000, 0x204000000, 0x810000000, 0x2040000000, 0x8100000000, 0x20400000000, 0x1000000102, 0x4000000408, 0x10000001020});
+constexpr StatTable42 SQR2_TABLE_42({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x204, 0x2040, 0x20400, 0x204000, 0x2040000, 0x20400000, 0x204000000, 0x2040000000, 0x20400000000, 0x4000000408, 0x4001, 0x40010, 0x400100, 0x4001000, 0x40010000, 0x400100000, 0x4001000000, 0x10000081, 0x100000810, 0x1000008100, 0x10000081000, 0x810204, 0x8102040, 0x81020400, 0x810204000, 0x8102040000, 0x1020400102, 0x10204001020, 0x2040010004, 0x20400100040, 0x4001000008});
+constexpr StatTable42 SQR4_TABLE_42({0x1, 0x10000, 0x100000000, 0x2040, 0x20400000, 0x4000000408, 0x4001000, 0x10000081, 0x810204, 0x8102040000, 0x20400100040, 0x1000000100, 0x1020400, 0x10204000000, 0x200001, 0x2000010000, 0x100040800, 0x408002040, 0x20408002, 0x4080020408, 0x204000020, 0x204001, 0x2040010000, 0x100040010, 0x400102040, 0x1020408100, 0x4081020008, 0x10200000020, 0x80, 0x800000, 0x8000000000, 0x102000, 0x1020000000, 0x20008, 0x200080000, 0x800004080, 0x40810200, 0x8102000810, 0x20008000040, 0x8102, 0x81020000, 0x10200001020});
+constexpr StatTable42 SQR8_TABLE_42({0x1, 0x100040800, 0x1020000000, 0x10200001000, 0x2040810000, 0x408102040, 0x4080000408, 0x10000000, 0x8002040810, 0x20008000, 0x10200080000, 0x40000004, 0x20408000040, 0x4000020000, 0x204000, 0x8002040010, 0x408102, 0x200081020, 0x40810000, 0x2000, 0x81000408, 0x4001, 0x2040010, 0x1020008002, 0x10204081020, 0x800004, 0x20000000000, 0x4081000400, 0x10000081, 0x100040010, 0x8102, 0x10000000020, 0x40010200, 0x408000000, 0x4080000400, 0x810204000, 0x102040810, 0x1020000102, 0x4000000, 0x2000810204, 0x8002000, 0x4080020000});
+constexpr StatTable42 SQR16_TABLE_42({0x1, 0x40800204, 0x2000800, 0x20008002040, 0x408100, 0x20000, 0x10004081020, 0x10000081, 0x40010204, 0x8102000000, 0x400000000, 0x1020008102, 0x1020408, 0x204081020, 0x200001, 0x10200, 0x102000010, 0x20408100000, 0x1020408002, 0x4000020000, 0x204000000, 0x204001, 0x2000800004, 0x8100000010, 0x400102000, 0x8002, 0x4080020000, 0x10000001000, 0x80, 0x2040010200, 0x100040000, 0x400100040, 0x20408000, 0x1000000, 0x204080020, 0x800004080, 0x2000810200, 0x8100000810, 0x20000000000, 0x1000408002, 0x81020400, 0x10204081000});
+constexpr StatTable42 QRT_TABLE_42({0x810200080, 0x120810806, 0x120810804, 0x1068c1a1000, 0x120810800, 0x34005023008, 0x1068c1a1008, 0x800004080, 0x120810810, 0x162818a10, 0x34005023028, 0x42408a14, 0x1068c1a1048, 0x1001040, 0x800004000, 0xb120808906, 0x120810910, 0x34000020068, 0x162818810, 0x68c021400, 0x34005023428, 0x10004000, 0x42408214, 0x162418214, 0x1068c1a0048, 0xb002018116, 0x1003040, 0x10008180448, 0x800000000, 0x62c08b04, 0xb120800906, 0x2408d1a3060, 0x120800910, 0x34401003028, 0x34000000068, 0, 0x162858810, 0xa042058116, 0x68c0a1400, 0x8162858806, 0x34005123428, 0x3068c0a1468});
+typedef Field<uint64_t, 42, 129, StatTable42, &SQR_TABLE_42, &SQR2_TABLE_42, &SQR4_TABLE_42, &SQR8_TABLE_42, &SQR16_TABLE_42, &QRT_TABLE_42, IdTrans, &ID_TRANS, &ID_TRANS> Field42;
+typedef FieldTri<uint64_t, 42, 7, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6>, &SQR_TABLE_42, &SQR2_TABLE_42, &SQR4_TABLE_42, &SQR8_TABLE_42, &SQR16_TABLE_42, &QRT_TABLE_42, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri42;
+#endif
+
+#ifdef ENABLE_FIELD_INT_43
+// 43 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 5, 5, 5, 5, 5> StatTable43;
+constexpr StatTable43 SQR_TABLE_43({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0xb2, 0x2c8, 0xb20, 0x2c80, 0xb200, 0x2c800, 0xb2000, 0x2c8000, 0xb20000, 0x2c80000, 0xb200000, 0x2c800000, 0xb2000000, 0x2c8000000, 0xb20000000, 0x2c80000000, 0xb200000000, 0x2c800000000, 0x32000000059, 0x4800000013d, 0x20000000446});
+constexpr StatTable43 SQR2_TABLE_43({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0xb2, 0xb20, 0xb200, 0xb2000, 0xb20000, 0xb200000, 0xb2000000, 0xb20000000, 0xb200000000, 0x32000000059, 0x20000000446, 0x4504, 0x45040, 0x450400, 0x4504000, 0x45040000, 0x450400000, 0x4504000000, 0x45040000000, 0x504000002c8, 0x4000002efa, 0x4000002efa0, 0x2ef8c8, 0x2ef8c80, 0x2ef8c800, 0x2ef8c8000, 0x2ef8c80000, 0x2ef8c800000, 0x6f8c800013d, 0x78c80001025, 0xc800010117, 0x48000101129});
+constexpr StatTable43 SQR4_TABLE_43({0x1, 0x10000, 0x100000000, 0xb20, 0xb200000, 0x32000000059, 0x450400, 0x4504000000, 0x4000002efa0, 0x2ef8c8000, 0x78c80001025, 0x10110010, 0x11001000b2, 0x1000b2b920, 0xb2b920b200, 0x120b204545f, 0x20454554046, 0x45540506efa, 0x506ed4df68, 0x6d4df6a79f5, 0x76a79c80133, 0x1c801010007, 0x101000b2100, 0xb210b2b20, 0x10b2b204504, 0x320450f655d, 0x50f654106c8, 0x54106efcb4c, 0x6efcb696320, 0x369631c93e1, 0x31c93ff9d8c, 0x3ff9d91a2a2, 0x591a2b9839b, 0x2b983b98dd4, 0x3b98dc651b0, 0x5c651a971e9, 0x1a971c9c0ba, 0x1c9c0b5853e, 0xb585322d78, 0x5322d7c6430, 0x57c6416617d, 0x4166159c82c, 0x159c8000b6c});
+constexpr StatTable43 SQR8_TABLE_43({0x1, 0x20454554046, 0x591a2b9839b, 0x722ff9f6fe9, 0x6a269c1eb12, 0xa3ce9f234e, 0x4d9ba8aae0b, 0x392cf0cf99b, 0x465f8594525, 0x4f9c1fb1524, 0x3b1a1dd441c, 0x381edd42255, 0x37a599424b, 0x554caee8670, 0x5335bb91d81, 0x69288c8a1a3, 0x3df2b6e68e5, 0x75330d31d56, 0x51a604b090c, 0x32e0d5a7ca3, 0x41eb9d4896e, 0x633e2855c9f, 0x4780d70e32f, 0x73b0cd728c3, 0x16627402bad, 0x4418f2a818a, 0x5cdd06cf7e5, 0x2a8da97a3ae, 0x446864a8976, 0x5a7bcbd45ea, 0x4034a4b8b04, 0x6bdaac9c5fa, 0x18769ce3a67, 0x560278257c, 0x41c06d6b64c, 0x69f6f61bd4b, 0x16cc45f84fd, 0x53f6b42f0f0, 0x6cac3d234f3, 0x1f94e8f24d5, 0x319342c7148, 0x8685bca86d, 0x6b694a6ea66});
+constexpr StatTable43 SQR16_TABLE_43({0x1, 0x1ce77599049, 0x191715250a, 0xc1573d8dff, 0x118e73ab5e4, 0x4b6a83225fe, 0x72b4bc8e0f5, 0x4a4b2b6bb02, 0x66daf4741e9, 0x50baba19898, 0x5eb38771912, 0x6fb458aad3c, 0x5ce3b10bde9, 0x5575f3498f0, 0x5f075aa8a0a, 0x41d0aa8ee20, 0x609e3c78c28, 0xe2e45a8018, 0x523ac062837, 0x738388a569d, 0x6616ec46da9, 0x1a75cc16d96, 0x49b0b43bbc3, 0x400416b3c9a, 0x25813f41ffe, 0x309fdb9d0bc, 0x489f45b2cbf, 0xa141f4f88e, 0x739e0d11fb3, 0x44971f51cc0, 0x6490576e60e, 0x6c6674c5355, 0x6978126a4e1, 0x3d04eae5a5, 0x312eed633f2, 0x1de4b98d6b9, 0x118a106fb0a, 0x26dae025f4, 0x5c179312ebb, 0x75870ef1921, 0x60e9fed95c0, 0x209ab92427a, 0x1c5014a1937});
+constexpr StatTable43 QRT_TABLE_43({0x2bccc2d6f6c, 0x4bccc2d6f54, 0x4bccc2d6f56, 0x7cc7bc61df0, 0x4bccc2d6f52, 0x7d13b404b10, 0x7cc7bc61df8, 0x37456e9ac5a, 0x4bccc2d6f42, 0x4e042c6a6, 0x7d13b404b30, 0x4a56de9ef4c, 0x7cc7bc61db8, 0x14bc18d8e, 0x37456e9acda, 0x7c89f84fb1e, 0x4bccc2d6e42, 0x7ffae40d210, 0x4e042c4a6, 0x366f45dd06, 0x7d13b404f30, 0x496fcaf8cca, 0x4a56de9e74c, 0x370b62b6af4, 0x7cc7bc60db8, 0x1498185a8, 0x14bc1ad8e, 0x7e602c46a98, 0x37456e9ecda, 0x36ccc2c6e74, 0x7c89f847b1e, 0x7e27d06d516, 0x4bccc2c6e42, 0x7f93302c396, 0x7ffae42d210, 0x3dd3440706, 0x4e046c4a6, 0x78bbc09da36, 0x366f4ddd06, 0, 0x7d13b504f30, 0x8bbc09da00, 0x496fc8f8cca});
+typedef Field<uint64_t, 43, 89, StatTable43, &SQR_TABLE_43, &SQR2_TABLE_43, &SQR4_TABLE_43, &SQR8_TABLE_43, &SQR16_TABLE_43, &QRT_TABLE_43, IdTrans, &ID_TRANS, &ID_TRANS> Field43;
+#endif
+
+#ifdef ENABLE_FIELD_INT_44
+// 44 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5, 5> StatTable44;
+constexpr StatTable44 SQR_TABLE_44({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x21, 0x84, 0x210, 0x840, 0x2100, 0x8400, 0x21000, 0x84000, 0x210000, 0x840000, 0x2100000, 0x8400000, 0x21000000, 0x84000000, 0x210000000, 0x840000000, 0x2100000000, 0x8400000000, 0x21000000000, 0x84000000000, 0x10000000042, 0x40000000108});
+constexpr StatTable44 SQR2_TABLE_44({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x21, 0x210, 0x2100, 0x21000, 0x210000, 0x2100000, 0x21000000, 0x210000000, 0x2100000000, 0x21000000000, 0x10000000042, 0x401, 0x4010, 0x40100, 0x401000, 0x4010000, 0x40100000, 0x401000000, 0x4010000000, 0x40100000000, 0x1000000084, 0x10000000840, 0x8421, 0x84210, 0x842100, 0x8421000, 0x84210000, 0x842100000, 0x8421000000, 0x84210000000, 0x42100000108, 0x21000001004, 0x10000010002});
+constexpr StatTable44 SQR4_TABLE_44({0x1, 0x10000, 0x100000000, 0x210, 0x2100000, 0x21000000000, 0x40100, 0x401000000, 0x10000000840, 0x8421000, 0x84210000000, 0x100001, 0x1000010000, 0x100002100, 0x21000210, 0x10002100042, 0x21000401000, 0x4010040100, 0x401008421, 0x10084210840, 0x42108421108, 0x84211000010, 0x10000000001, 0x31000, 0x310000000, 0x611, 0x6110000, 0x61100000000, 0xc4310, 0xc43100000, 0x31000001844, 0x18421100, 0x84211000021, 0x10000310001, 0x3100031000, 0x310006110, 0x61100611, 0x110061100c6, 0x61100c43100, 0xc4310c4310, 0x10c43118423, 0x31184210844, 0x42108421218, 0x84212100010});
+constexpr StatTable44 SQR8_TABLE_44({0x1, 0x21000401000, 0x84211000021, 0xa521000, 0x42108421719, 0x311e5310e55, 0x10401008c61, 0x3210031000, 0x10c43058522, 0x74110050101, 0xf5312e97201, 0x42108421109, 0x21061501611, 0x94311002961, 0xf59421000, 0x52d4b56923a, 0x201e5300e54, 0x71501c8fe71, 0xb6002131043, 0xb5e4c168432, 0xb320f5619ae, 0xf5000f97201, 0x10c43118422, 0x24010451100, 0x942113d4330, 0x8421a521001, 0x6310e130719, 0xf72fc731c6c, 0x4ae739631, 0x70008417e4d, 0x20ca6358b77, 0x64110094a51, 0xd4002e97200, 0xf7f5a13853a, 0xb12664417f6, 0x843322d6860, 0xf7c4100194d, 0x7382d17842b, 0xf67fd71a10c, 0x6efcca4b731, 0xf4e5901ea2d, 0xcb8278a46, 0xa32050401ee, 0xb7218bb6518});
+constexpr StatTable44 SQR16_TABLE_44({0x1, 0xc6cdb660138, 0x13de5a69a7b, 0x80bcafe7981, 0x60eb6f976d1, 0x677fbef6cce, 0x1549bb4cdec, 0x3b1ddf6859, 0xc01b8da28a6, 0xf3e11efbf8c, 0xd3e6faf8ee3, 0xa3dbc5712c8, 0x72361d7ca84, 0xe59e509337d, 0x15fca12a6f4, 0x33ce445498c, 0x44406de91fb, 0x9784b690571, 0xb0fb81753af, 0xb53a7c2c977, 0x34fbd3dba9b, 0xc758c22e647, 0xd5ff69aa469, 0x41e6d42b47d, 0xa4d1a3d02e7, 0x365db54ae9f, 0xd2293b8770b, 0xf1bf95c7746, 0x337fbe1d950, 0x726879e26a7, 0xa4be5ec2171, 0x7080da9df82, 0x7560017ce2, 0xd03997e34ae, 0x27ad4309a78, 0xb7b0ead892b, 0xf45bedb915d, 0xc4f0e25a52c, 0xe774a9d7fe8, 0xece6c1d7a26, 0xf20ea9ab655, 0x159bb624dc2, 0x12f2780b45f, 0x840cc52f19d});
+constexpr StatTable44 QRT_TABLE_44({0xf05334f4f6e, 0x4002016, 0x4002014, 0xf04350e6246, 0x4002010, 0x4935b379a26, 0xf04350e624e, 0xf84250c228e, 0x4002000, 0xf04300e521e, 0x4935b379a06, 0xb966838dd48, 0xf04350e620e, 0xf7b8b80feda, 0xf84250c220e, 0xf972e097d5e, 0x4002100, 0x8000020000, 0xf04300e501e, 0x430025000, 0x4935b379e06, 0xf976a09dc5e, 0xb966838d548, 0xf84218c029a, 0xf04350e720e, 0x4925f36bf06, 0xf7b8b80deda, 0xb047d3ee758, 0xf84250c620e, 0xf80350e720e, 0xf972e09fd5e, 0x8091825284, 0x4012100, 0x9015063210, 0x8000000000, 0xff31a028c5e, 0xf04300a501e, 0x44340b7100, 0x4300a5000, 0, 0x4935b279e06, 0xa976b2dce18, 0xf976a29dc5e, 0x8935b279e18});
+typedef Field<uint64_t, 44, 33, StatTable44, &SQR_TABLE_44, &SQR2_TABLE_44, &SQR4_TABLE_44, &SQR8_TABLE_44, &SQR16_TABLE_44, &QRT_TABLE_44, IdTrans, &ID_TRANS, &ID_TRANS> Field44;
+typedef FieldTri<uint64_t, 44, 5, RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5, 5>, &SQR_TABLE_44, &SQR2_TABLE_44, &SQR4_TABLE_44, &SQR8_TABLE_44, &SQR16_TABLE_44, &QRT_TABLE_44, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri44;
+#endif
+
+#ifdef ENABLE_FIELD_INT_45
+// 45 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5, 5> StatTable45;
+constexpr StatTable45 SQR_TABLE_45({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x36, 0xd8, 0x360, 0xd80, 0x3600, 0xd800, 0x36000, 0xd8000, 0x360000, 0xd80000, 0x3600000, 0xd800000, 0x36000000, 0xd8000000, 0x360000000, 0xd80000000, 0x3600000000, 0xd800000000, 0x36000000000, 0xd8000000000, 0x16000000001b, 0x18000000005a});
+constexpr StatTable45 SQR2_TABLE_45({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0xd8, 0xd80, 0xd800, 0xd8000, 0xd80000, 0xd800000, 0xd8000000, 0xd80000000, 0xd800000000, 0xd8000000000, 0x18000000005a, 0x514, 0x5140, 0x51400, 0x514000, 0x5140000, 0x51400000, 0x514000000, 0x5140000000, 0x51400000000, 0x114000000036, 0x1400000003b8, 0x3b6e, 0x3b6e0, 0x3b6e00, 0x3b6e000, 0x3b6e0000, 0x3b6e00000, 0x3b6e000000, 0x3b6e0000000, 0x1b6e0000001b, 0x16e00000011f, 0xe0000001105});
+constexpr StatTable45 SQR4_TABLE_45({0x1, 0x10000, 0x100000000, 0xd8, 0xd80000, 0xd800000000, 0x5140, 0x51400000, 0x114000000036, 0x3b6e00, 0x3b6e000000, 0xe0000001105, 0x11011000, 0x110110000000, 0x1000000d58d8, 0xd58d58000, 0x18d58000054e, 0x5451454, 0x54514540000, 0x145400038db8, 0x38db6d8e0, 0xdb6d8e00104, 0x18e00101000a, 0x10100010100, 0x10100d8d8, 0x100d8d800d8, 0x18d800d8d85a, 0xd8d8511140, 0x18511140511a, 0x114051117b58, 0x11117b556e36, 0x1b556e3b5575, 0xe3b557f1015, 0x157f1011011e, 0x101101101c48, 0x1101c458d58, 0x1c458d58d580, 0xd58d58815d4, 0x158815d1451a, 0x15d1451452c0, 0x51452ce6f6e, 0x12ce6f6db6d6, 0xf6db6da6e3d, 0x16da6e39e00f, 0xe39e00000dd});
+constexpr StatTable45 SQR8_TABLE_45({0x1, 0x18d58000054e, 0xe3b557f1015, 0x51985198, 0xdb68cb55452, 0x1d0cc1d84f02, 0x140110c19ae, 0x11a16a14e7fe, 0x1e7ca7c62aa9, 0xe0eae26629b, 0x12182bee80ab, 0x1a38a68f28d3, 0x8581419c8c, 0x1d47f6f12ebc, 0x19fd34c3806e, 0x12ddba59f3cd, 0x10fa07f12a0e, 0x1d93eb544486, 0x1cf42cd119be, 0x1ff32d4b62c3, 0xf34ae031191, 0xada837715bf, 0xd368a753f92, 0x2ba87b17a03, 0x10374c3e4088, 0x1a6f539c11bd, 0x16548a5473c7, 0x1eb70011a8c9, 0x1ee5435ba1a3, 0x1173c0537680, 0xa1a3668dd6b, 0x119faad25e8, 0xd3909240e00, 0x1b560d018881, 0x127ecb9095ed, 0x306b507e701, 0x12b934c21ea3, 0x1a9d258c5b8b, 0x10452fbf0b1c, 0xae92fee120d, 0x183eb4b419fa, 0xc24d2391313, 0x4e6c4746f6, 0x2815fe7c395, 0xe4ab383747f});
+constexpr StatTable45 SQR16_TABLE_45({0x1, 0x14af92df932, 0x484e0190bdc, 0xda69889e16e, 0xcf70dfdb150, 0x18c6743571a8, 0x1b2c3ad7fa79, 0x5f0cbe204f6, 0xee973392a75, 0x3e86ef79673, 0xb2a9bef7181, 0x19b5347ff116, 0x1cae0ec79856, 0x69093f18f81, 0x1964382be09a, 0x92c894b073e, 0x1d99d2922eb2, 0x647905ad0eb, 0x1695971acdd3, 0x8f3292bc8c4, 0x1ee4057ad94, 0x17f02dc60e01, 0x1bb8e05ab4d5, 0x14de5d2a05d6, 0x13a019a02983, 0xcd7097c3616, 0x1bd798639b8f, 0x1cf0ca5ac7b2, 0xa93b983cf05, 0x159a955a2aa8, 0x69e5ba33397, 0x3a6b3392237, 0x26aeab71e13, 0x26fe04d38b9, 0x1fa9df0e8c45, 0x104e85c234b0, 0x1792853f8767, 0x81573b15f20, 0x127d6bfb06d3, 0x8110e6957e8, 0x11f59cbcc110, 0xad68264cad8, 0x61438575b35, 0x56e4446dc, 0x1cc9cb28b150});
+constexpr StatTable45 QRT_TABLE_45({0xede34e3e0fc, 0x1554148191aa, 0x1554148191a8, 0x1767be1dc4a6, 0x1554148191ac, 0x26bd4931492, 0x1767be1dc4ae, 0x233ab9c454a, 0x1554148191bc, 0x16939e8bb3dc, 0x26bd49314b2, 0x3c6ca8bac52, 0x1767be1dc4ee, 0x16caa5054c16, 0x233ab9c45ca, 0x14a1649628bc, 0x1554148190bc, 0x3c382881252, 0x16939e8bb1dc, 0x3c7ca0aa160, 0x26bd49310b2, 0x27f40158000, 0x3c6ca8ba452, 0x173fc092853c, 0x1767be1dd4ee, 0x16cbe284f25c, 0x16caa5056c16, 0x155559002f96, 0x233ab9c05ca, 0x26eb8908b32, 0x14a16496a8bc, 0x15440885333c, 0x1554148090bc, 0x17d60702e0, 0x3c3828a1252, 0x54548d10b2, 0x16939e8fb1dc, 0x3ac1e81b1d2, 0x3c7ca02a160, 0x166bd48310bc, 0x26bd48310b2, 0, 0x27f40358000, 0x10000000000e, 0x3c6cacba452});
+typedef Field<uint64_t, 45, 27, StatTable45, &SQR_TABLE_45, &SQR2_TABLE_45, &SQR4_TABLE_45, &SQR8_TABLE_45, &SQR16_TABLE_45, &QRT_TABLE_45, IdTrans, &ID_TRANS, &ID_TRANS> Field45;
+#endif
+
+#ifdef ENABLE_FIELD_INT_46
+// 46 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5> StatTableTRI46;
+constexpr StatTableTRI46 SQR_TABLE_TRI46({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000, 0x30000000, 0xc0000000, 0x300000000, 0xc00000000, 0x3000000000, 0xc000000000, 0x30000000000, 0xc0000000000, 0x300000000000});
+constexpr StatTableTRI46 SQR2_TABLE_TRI46({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0xc, 0xc0, 0xc00, 0xc000, 0xc0000, 0xc00000, 0xc000000, 0xc0000000, 0xc00000000, 0xc000000000, 0xc0000000000, 0x5, 0x50, 0x500, 0x5000, 0x50000, 0x500000, 0x5000000, 0x50000000, 0x500000000, 0x5000000000, 0x50000000000, 0x100000000003, 0x3c, 0x3c0, 0x3c00, 0x3c000, 0x3c0000, 0x3c00000, 0x3c000000, 0x3c0000000, 0x3c00000000, 0x3c000000000, 0x3c0000000000});
+constexpr StatTableTRI46 SQR4_TABLE_TRI46({0x1, 0x10000, 0x100000000, 0xc, 0xc0000, 0xc00000000, 0x50, 0x500000, 0x5000000000, 0x3c0, 0x3c00000, 0x3c000000000, 0x1100, 0x11000000, 0x110000000000, 0xcc00, 0xcc000000, 0xc0000000005, 0x55000, 0x550000000, 0x10000000003f, 0x3fc000, 0x3fc0000000, 0x101, 0x1010000, 0x10100000000, 0xc0c, 0xc0c0000, 0xc0c00000000, 0x5050, 0x50500000, 0x105000000003, 0x3c3c0, 0x3c3c00000, 0x3c000000011, 0x111100, 0x1111000000, 0x1100000000cc, 0xcccc00, 0xcccc000000, 0xc0000000555, 0x5555000, 0x55550000000, 0x100000003fff, 0x3fffc000, 0x3fffc0000000});
+constexpr StatTableTRI46 SQR8_TABLE_TRI46({0x1, 0xcc000000, 0x3c3c0, 0x10000000c, 0x550055000, 0x3c000111111, 0xc0050, 0x103fc000003f, 0x1111cccc00, 0x5000500390, 0x13ec1010101, 0xcccc9999955, 0x5000001100, 0xc0c01010000, 0xc003fffc555, 0x12c003c0cc00, 0x10505c5c0c0f, 0x155450003ffe, 0x1100cc054100, 0xfcc5053c3d1, 0xd3ff2c00d, 0xd059c3a5c3a, 0x2828282d21e, 0x5000000001, 0xcd010000, 0xc000003c695, 0x3c103c0000c, 0x55c095c0c, 0x169550112eee, 0x1100000c1150, 0x1c339050003f, 0x112e320c01, 0x1d50cc50cf95, 0x116d5292c2c2, 0xcccc9959954, 0x1050cc00113f, 0xc1d1002c3c0, 0xc013fafc509, 0x12fa93c59d01, 0x135c9081d11e, 0x150453cc3fae, 0x13f0d044d33, 0x688119f0a84, 0x39d2d62d29d, 0x3751370167, 0x24e4e4e4b4b4});
+constexpr StatTableTRI46 SQR16_TABLE_TRI46({0x1, 0x1fe6e1ab503e, 0xbbae1f3f55b, 0x1d51cc530c59, 0x163a6a22e14a, 0x5847feb7f81, 0x1ec9cc5fd281, 0xf6cc7b80c70, 0x8f46b31e374, 0xc13bf2ed37d, 0x148a1595bffe, 0x581ad245849, 0x1ea6920b83c1, 0x9d9a8355c7d, 0x6bcf393d5ff, 0x1d4e245085c0, 0x602a8c5e62c, 0x1922dd69197f, 0x7945d3a2aad, 0xf82a823f768, 0xdd24665599b, 0x13b43f6a29d, 0x4df114f238d, 0x1ee783c75ec0, 0xfb670f65c31, 0xf855dc973d2, 0x61ede5f2651, 0x6c1a1266403, 0x1f66ed2a96a, 0xbbbdf683148, 0x1ecc83e160c0, 0x1a2778c4bc0c, 0x10e154273753, 0x1704f8873c23, 0x1b4d3172da99, 0x2b3be805044, 0x5bb08848b9d, 0x1967d2b99be5, 0x7fa55262740, 0xe761a27cc28, 0x17dedd7181b5, 0x155b0344714a, 0x15187b38816e, 0xc5a679b5300, 0x1096cbf94c5d, 0x3f6b3cc122da});
+constexpr StatTableTRI46 QRT_TABLE_TRI46({0x211c4fd486ba, 0x100104a, 0x1001048, 0x104d0492d4, 0x100104c, 0x20005040c820, 0x104d0492dc, 0x40008080, 0x100105c, 0x24835068ce00, 0x20005040c800, 0x200000400800, 0x104d04929c, 0x100904325c, 0x40008000, 0x25da9e77daf0, 0x100115c, 0x1184e1696f0, 0x24835068cc00, 0x24825169dd5c, 0x20005040cc00, 0x3ea3241c60c0, 0x200000400000, 0x211c4e5496f0, 0x104d04829c, 0x20005340d86c, 0x100904125c, 0x24835968de5c, 0x4000c000, 0x6400a0c0, 0x25da9e775af0, 0x118cf1687ac, 0x101115c, 0x1ea1745cacc0, 0x1184e1496f0, 0x20181e445af0, 0x2483506ccc00, 0x20240060c0, 0x24825161dd5c, 0x1e21755dbd9c, 0x20005050cc00, 0x26a3746cacc0, 0x3ea3243c60c0, 0xea3243c60c0, 0x200000000000, 0});
+typedef FieldTri<uint64_t, 46, 1, StatTableTRI46, &SQR_TABLE_TRI46, &SQR2_TABLE_TRI46, &SQR4_TABLE_TRI46, &SQR8_TABLE_TRI46, &SQR16_TABLE_TRI46, &QRT_TABLE_TRI46, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri46;
+#endif
+
+#ifdef ENABLE_FIELD_INT_47
+// 47 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5> StatTable47;
+constexpr StatTable47 SQR_TABLE_47({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x42, 0x108, 0x420, 0x1080, 0x4200, 0x10800, 0x42000, 0x108000, 0x420000, 0x1080000, 0x4200000, 0x10800000, 0x42000000, 0x108000000, 0x420000000, 0x1080000000, 0x4200000000, 0x10800000000, 0x42000000000, 0x108000000000, 0x420000000000, 0x80000000042, 0x200000000108});
+constexpr StatTable47 SQR2_TABLE_47({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x42, 0x420, 0x4200, 0x42000, 0x420000, 0x4200000, 0x42000000, 0x420000000, 0x4200000000, 0x42000000000, 0x420000000000, 0x200000000108, 0x1004, 0x10040, 0x100400, 0x1004000, 0x10040000, 0x100400000, 0x1004000000, 0x10040000000, 0x100400000000, 0x4000000042, 0x40000000420, 0x400000004200, 0x42108, 0x421080, 0x4210800, 0x42108000, 0x421080000, 0x4210800000, 0x42108000000, 0x421080000000, 0x210800000108, 0x108000001004, 0x80000010002});
+constexpr StatTable47 SQR4_TABLE_47({0x1, 0x10000, 0x100000000, 0x42, 0x420000, 0x4200000000, 0x1004, 0x10040000, 0x100400000000, 0x42108, 0x421080000, 0x210800000108, 0x1000010, 0x10000100000, 0x1000004200, 0x42000420, 0x420004200000, 0x42000100400, 0x1004010040, 0x40100400420, 0x4004210842, 0x42108421080, 0x84210810002, 0x108100000004, 0x142, 0x1420000, 0x14200000000, 0x5204, 0x52040000, 0x520400000000, 0x142508, 0x1425080000, 0x250800000528, 0x5210810, 0x52108100000, 0x81000014202, 0x142001420, 0x420014200042, 0x142000520400, 0x5204052040, 0x40520401424, 0x20401425094a, 0x142509425080, 0x9425085210a, 0x508521084204, 0x21084210804a, 0x421080420010});
+constexpr StatTable47 SQR8_TABLE_47({0x1, 0x420004200000, 0x250800000528, 0x11004, 0xc6210910402, 0x142005730c10, 0x101000010, 0x1056050040, 0x55a429184204, 0x111404110002, 0x532408500562, 0x3d196251d62e, 0x420142, 0x44524611c66, 0x1142047728, 0x46205e2508, 0x67339c2519da, 0x5661384b5880, 0x434346200424, 0x392938cb55aa, 0x724b0c31058c, 0x7f4f1cf703fc, 0x4fe303d32d1e, 0x75de250d676c, 0x100400011004, 0xc6210910540, 0x102525331834, 0x1101046318, 0x1057532548, 0x37f4bd7f4b5e, 0x115021380840, 0x52674a501142, 0x297a4a1b86ae, 0x666b0c2010ca, 0x776839031b88, 0x4b5316a05622, 0x254e215e2030, 0x6733ce2009de, 0xa8609d21e86, 0x567347420874, 0x6e0d31db55ba, 0x4357182485c4, 0x2afb35ef02ba, 0x5af227961c30, 0x64faad1b0116, 0x2d5d2527ef40, 0x6e27e3bc1978});
+constexpr StatTable47 SQR16_TABLE_47({0x1, 0x421ac25c8774, 0x30581389b510, 0x423b9c671db0, 0xa4537914208, 0x38f9be0dbf38, 0x351c5a8b92a8, 0xc38b9920da2, 0x508d34674f2a, 0x1f8c359a6b76, 0x5ac4bf86daaa, 0x51d6a6616df2, 0xe2717a0378a, 0x13353e783e6e, 0x55a55ac09ec6, 0x3f17cde43402, 0x760584b64b6c, 0x6acbecc99a02, 0x16be80e45b76, 0x2d5069e0005a, 0x3388f5759aa6, 0x2f98f891f4e2, 0x7657f368d924, 0x48f81e34f5b0, 0x51a9087f072e, 0x1de01ba9001c, 0x560b4b374bfc, 0x13f576988ff0, 0x3673cd322294, 0x595959f7c5fe, 0xbfa426eb4a4, 0x2b68fd7c02c2, 0x2a3c1437913a, 0x6e4b179fcf9e, 0x69ddf09bbdee, 0x7b91973d5e52, 0x1329cefd9514, 0x6a5f380b7ab0, 0x48e6620529c4, 0x60589a4b95b6, 0x5e4bd1d1aa34, 0x4b1ec7645cc2, 0x5cfb8785aec6, 0x34e47cf10c3a, 0x7b6c363eee10, 0x1dc52d768b32, 0x3585af9113a0});
+constexpr StatTable47 QRT_TABLE_47({0, 0x1001040, 0x1001042, 0x1047043076, 0x1001046, 0x112471c241e, 0x104704307e, 0x4304e052168, 0x1001056, 0x10004000, 0x112471c243e, 0x172a09c949d6, 0x104704303e, 0x4002020, 0x4304e0521e8, 0x5400e220, 0x1001156, 0x172b08c85080, 0x10004200, 0x41200b0800, 0x112471c203e, 0x172f0cca50a0, 0x172a09c941d6, 0x7eb88a11c1d6, 0x104704203e, 0x1044042020, 0x4000020, 0x42001011156, 0x4304e0561e8, 0x172a28c95880, 0x54006220, 0x112931cc21e, 0x1011156, 0x53670f283e, 0x172b08ca5080, 0x7a80c414a03e, 0x10044200, 0x40000000000, 0x4120030800, 0x1928318801e, 0x112470c203e, 0x799283188000, 0x172f0cea50a0, 0x1eb88a91c1c8, 0x172a098941d6, 0x3ea8cc95e1f6, 0x7eb88a91c1d6});
+typedef Field<uint64_t, 47, 33, StatTable47, &SQR_TABLE_47, &SQR2_TABLE_47, &SQR4_TABLE_47, &SQR8_TABLE_47, &SQR16_TABLE_47, &QRT_TABLE_47, IdTrans, &ID_TRANS, &ID_TRANS> Field47;
+typedef FieldTri<uint64_t, 47, 5, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5>, &SQR_TABLE_47, &SQR2_TABLE_47, &SQR4_TABLE_47, &SQR8_TABLE_47, &SQR16_TABLE_47, &QRT_TABLE_47, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri47;
+#endif
+
+#ifdef ENABLE_FIELD_INT_48
+// 48 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6> StatTable48;
+constexpr StatTable48 SQR_TABLE_48({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x2d, 0xb4, 0x2d0, 0xb40, 0x2d00, 0xb400, 0x2d000, 0xb4000, 0x2d0000, 0xb40000, 0x2d00000, 0xb400000, 0x2d000000, 0xb4000000, 0x2d0000000, 0xb40000000, 0x2d00000000, 0xb400000000, 0x2d000000000, 0xb4000000000, 0x2d0000000000, 0xb40000000000, 0xd0000000005a, 0x40000000011f});
+constexpr StatTable48 SQR2_TABLE_48({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x2d, 0x2d0, 0x2d00, 0x2d000, 0x2d0000, 0x2d00000, 0x2d000000, 0x2d0000000, 0x2d00000000, 0x2d000000000, 0x2d0000000000, 0xd0000000005a, 0x451, 0x4510, 0x45100, 0x451000, 0x4510000, 0x45100000, 0x451000000, 0x4510000000, 0x45100000000, 0x451000000000, 0x5100000000b4, 0x100000000bd9, 0xbdbd, 0xbdbd0, 0xbdbd00, 0xbdbd000, 0xbdbd0000, 0xbdbd00000, 0xbdbd000000, 0xbdbd0000000, 0xbdbd00000000, 0xdbd00000011f, 0xbd0000001001, 0xd0000001010f});
+constexpr StatTable48 SQR4_TABLE_48({0x1, 0x10000, 0x100000000, 0x2d, 0x2d0000, 0x2d00000000, 0x451, 0x4510000, 0x45100000000, 0xbdbd, 0xbdbd0000, 0xbdbd00000000, 0x101101, 0x1011010000, 0x1101000002d0, 0x2d2fd2d, 0x2d2fd2d0000, 0xfd2d0000454a, 0x45514551, 0x455145510000, 0x4551000bd0bd, 0xbd0b6d0bd, 0xd0b6d0bd011f, 0xd0bd0100011e, 0x10001010001, 0x10100012d00, 0x12d002d2d, 0x2d002d2d002d, 0x2d2d00295100, 0x2951045551, 0x5104555104e5, 0x555104ecbdb4, 0x4ecbdbd00bd, 0xbdbd00bdadbc, 0xbdadac1101, 0xadac11011001, 0x11011013c3fc, 0x1013c3fefd2d, 0xc3fefd2fd2a7, 0xfd2fd2baac36, 0xd2baac2d450b, 0xac2d45145ac2, 0x45145ad0f851, 0x5ad0f85adb64, 0xf85adb6cbd10, 0xdb6cbd0bd0a2, 0xbd0bd0bc003c, 0xd0bc002c001f});
+constexpr StatTable48 SQR8_TABLE_48({0x1, 0x2d2fd2d0000, 0x4ecbdbd00bd, 0x2c0000002c, 0x47882d9b95ec, 0xb9eec2eefc90, 0xbd900450, 0x9734009bfc8f, 0x93070a51e9b7, 0xb9d0aa02ec00, 0x8630787dd0ab, 0x6b3468ab98c9, 0x4100001bc1bd, 0x3ffeec1692fd, 0x2e0cce80414a, 0x11a77fc95626, 0x7c9856084ffe, 0x2f41c702f193, 0xd260e95bfeeb, 0x3b86220b54eb, 0x5735c802071a, 0x44626fc7ba84, 0x2b9cda923f5b, 0xc57d0a962e45, 0xd1685001450b, 0x6d78400145b6, 0x9114412978c1, 0x7d9ece1f5b0c, 0xfd2419988960, 0xd12ac3eaeaa5, 0x7d67e75f441d, 0xf86c2ba5457c, 0x40db7617aa6a, 0x80ee292186, 0xbd0f8525d34c, 0xa87ce27ca699, 0xacf3315d7a6d, 0x1a289bca977, 0x92975374e0f1, 0x3fcf113826ab, 0xff4d9be19a5e, 0x1412e5091900, 0x82c721f22d43, 0x1d773380ff32, 0xfed661cca7b1, 0x308072e06846, 0xd3eb44e91aa0, 0x819a669cbb14});
+constexpr StatTable48 SQR16_TABLE_48({0x1, 0x50c24311dfa9, 0xfc08c1e39482, 0xa9ff91b620a3, 0x54954a59d16c, 0xec45c0a9fb02, 0xba7004022837, 0xc1ea19828166, 0xee9a3efecffe, 0x57ed421a20bb, 0x69d387b19141, 0x9105d02d728f, 0xd2f24d4006da, 0x39195005f508, 0xd0206ff5333c, 0x8592e734a441, 0x787b36a1c435, 0x1151e6f03f85, 0xfe0429bf95ab, 0xab2b20b47651, 0x2a65fc935212, 0x7f73ae670e2e, 0x697c17f0fc4a, 0x55dc5681f013, 0xadbd09a289bc, 0x418414f64940, 0x927c737efd40, 0x38535d08fc98, 0xe811b107691c, 0x856c3bbf4cf6, 0x47e629ad3757, 0xf9c82b4b2c09, 0x64312c99e2f, 0xd4936c978dfd, 0x782ff8716675, 0xaf853e867dd7, 0x457143c1fa6d, 0x84c4dda48e91, 0xbac9aacda41e, 0x6a6e0ffb2dc1, 0xfef377f00194, 0x3a129790acc1, 0x541e49c6f92a, 0x73e821aca96d, 0x3a6f15c03f57, 0x1bf377c66f3b, 0xbff5e192fe3b, 0x346360ee74a});
+constexpr StatTable48 QRT_TABLE_48({0xc00442c284f0, 0xc16b7fda410a, 0xc16b7fda4108, 0xada3b5c79fbe, 0xc16b7fda410c, 0x16f3c18d5b0, 0xada3b5c79fb6, 0x7090a381f64, 0xc16b7fda411c, 0xcafc15d179f8, 0x16f3c18d590, 0x6630880e534e, 0xada3b5c79ff6, 0xa13dd1f49826, 0x7090a381fe4, 0xb87560f6a74, 0xc16b7fda401c, 0xaaaaffff0012, 0xcafc15d17bf8, 0xaafd15f07bf6, 0x16f3c18d190, 0x60000020000e, 0x6630880e5b4e, 0xcb977fcb401c, 0xada3b5c78ff6, 0x6663420cad0, 0xa13dd1f4b826, 0xc0045fc2f41c, 0x7090a385fe4, 0x6762e24b834, 0xb87560fea74, 0xc6351fed241c, 0xc16b7fdb401c, 0x60065622ea7a, 0xaaaafffd0012, 0xdf9562bea74, 0xcafc15d57bf8, 0x6657ea057bea, 0xaafd15f87bf6, 0xa79329ddaa66, 0x16f3c08d190, 0xa39229f0aa66, 0x60000000000e, 0x175fb4468ad0, 0x6630884e5b4e, 0, 0xcb977f4b401c, 0x2630884e5b40});
+typedef Field<uint64_t, 48, 45, StatTable48, &SQR_TABLE_48, &SQR2_TABLE_48, &SQR4_TABLE_48, &SQR8_TABLE_48, &SQR16_TABLE_48, &QRT_TABLE_48, IdTrans, &ID_TRANS, &ID_TRANS> Field48;
+#endif
+}
+
+Sketch* ConstructClMul6Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_41
+ case 41: return new SketchImpl<Field41>(implementation, 41);
+#endif
+#ifdef ENABLE_FIELD_INT_42
+ case 42: return new SketchImpl<Field42>(implementation, 42);
+#endif
+#ifdef ENABLE_FIELD_INT_43
+ case 43: return new SketchImpl<Field43>(implementation, 43);
+#endif
+#ifdef ENABLE_FIELD_INT_44
+ case 44: return new SketchImpl<Field44>(implementation, 44);
+#endif
+#ifdef ENABLE_FIELD_INT_45
+ case 45: return new SketchImpl<Field45>(implementation, 45);
+#endif
+#ifdef ENABLE_FIELD_INT_47
+ case 47: return new SketchImpl<Field47>(implementation, 47);
+#endif
+#ifdef ENABLE_FIELD_INT_48
+ case 48: return new SketchImpl<Field48>(implementation, 48);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri6Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_41
+ case 41: return new SketchImpl<FieldTri41>(implementation, 41);
+#endif
+#ifdef ENABLE_FIELD_INT_42
+ case 42: return new SketchImpl<FieldTri42>(implementation, 42);
+#endif
+#ifdef ENABLE_FIELD_INT_44
+ case 44: return new SketchImpl<FieldTri44>(implementation, 44);
+#endif
+#ifdef ENABLE_FIELD_INT_46
+ case 46: return new SketchImpl<FieldTri46>(implementation, 46);
+#endif
+#ifdef ENABLE_FIELD_INT_47
+ case 47: return new SketchImpl<FieldTri47>(implementation, 47);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_7bytes.cpp b/src/minisketch/src/fields/clmul_7bytes.cpp
new file mode 100644
index 0000000000..2050dc32dd
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_7bytes.cpp
@@ -0,0 +1,170 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_7)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_49
+// 49 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5, 5, 5> StatTable49;
+constexpr StatTable49 SQR_TABLE_49({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x402, 0x1008, 0x4020, 0x10080, 0x40200, 0x100800, 0x402000, 0x1008000, 0x4020000, 0x10080000, 0x40200000, 0x100800000, 0x402000000, 0x1008000000, 0x4020000000, 0x10080000000, 0x40200000000, 0x100800000000, 0x402000000000, 0x1008000000000, 0x20000000402, 0x80000001008, 0x200000004020, 0x800000010080});
+constexpr StatTable49 SQR2_TABLE_49({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x1008, 0x10080, 0x100800, 0x1008000, 0x10080000, 0x100800000, 0x1008000000, 0x10080000000, 0x100800000000, 0x1008000000000, 0x80000001008, 0x800000010080, 0x100004, 0x1000040, 0x10000400, 0x100004000, 0x1000040000, 0x10000400000, 0x100004000000, 0x1000040000000, 0x400001008, 0x4000010080, 0x40000100800, 0x400001008000, 0x10080402, 0x100804020, 0x1008040200, 0x10080402000, 0x100804020000, 0x1008040200000, 0x80402001008, 0x804020010080, 0x40200100004, 0x402001000040, 0x20010000002, 0x200100000020});
+constexpr StatTable49 SQR4_TABLE_49({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x1008000, 0x10080000000, 0x800000010080, 0x100004000, 0x1000040000000, 0x400001008000, 0x10080402000, 0x804020010080, 0x200100000020, 0x1000000001000, 0x11008000, 0x110080000000, 0x800000110880, 0x1108004000, 0x1080040001008, 0x400011008400, 0x110084402000, 0x844020110880, 0x201108040220, 0x1080402000008, 0x20001008002, 0x10080000100, 0x800001010080, 0x10100004000, 0x1000040010080, 0x400101808000, 0x1018080402000, 0x8040210100c0, 0x210100400020, 0x1004000011080, 0x11180c020, 0x11180c0200000, 0xc020011108c0, 0x11108004010, 0x1080040111088, 0x401111808400, 0x1118084403008, 0x8440311908c0, 0x311908440220, 0x108440211008c, 0x2110184c022, 0x10184c0201108, 0xc020100904c2, 0x100904024010, 0x1040240000004});
+constexpr StatTable49 SQR8_TABLE_49({0x1, 0x800000110880, 0x210100400020, 0x1040240000004, 0x130081008002, 0x191c0a54130c8, 0x900804130890, 0x210111408020, 0x582c0402004, 0xd320910984c0, 0xb1d1ad4522e8, 0x1d80945829818, 0x1218540601128, 0x1240340000024, 0x11300c1018082, 0x193d1a4c5f0ea, 0x148a0522810, 0xe0201051c8e0, 0x2dc7c25120a8, 0x1d2205148a440, 0x33c0adc0e24a, 0x17850e987bab8, 0xa8a40071c9e0, 0x10d47d391c1a8, 0x9740b01888c2, 0x91c0e54130c8, 0x920805138892, 0x130819500b028, 0x8583c0516884, 0x1fa25934984e8, 0x1f5c2fcc5a6ec, 0x15a094483189a, 0x1014cc242300, 0xac020000582c, 0x3b05524100aa, 0x1520255145c6e, 0x4279b95aec40, 0x1f1a0951178e8, 0xbcc646004828, 0x3b055219aca8, 0x57d2fc40666e, 0xba50b987beba, 0x8aa44d913bea, 0x944717d1b9a0, 0x776562491022, 0x1701305105c4c, 0x19039cd5be842, 0x1b281d8e58082, 0x134dac80532a4});
+constexpr StatTable49 SQR16_TABLE_49({0x1, 0x790181b552e0, 0xeb19044e00a, 0xc6bf7911f7ae, 0x447f77c1a0c4, 0x19d2a0d21c480, 0x13d4e22aadedc, 0x18fa344c8f0a6, 0x1481c1bbfde92, 0x41547e22f6e0, 0xf5ad96335088, 0xd7e4db3adaa0, 0x197fc8d7b53d0, 0x37781564b82a, 0xa52ef2139cbc, 0x153c6a0949498, 0x18d7401fc152e, 0xc4b5d8597752, 0xd15cd891aa2, 0x217903427da8, 0x13ec9e269a0e0, 0xc01720774514, 0x389aeb1d788a, 0x64a914a860a4, 0xa09aebec6188, 0x15c3239e150c8, 0x38f8fe110ce, 0xc1ea415c5006, 0x3209972f2ff0, 0x41bfc6b2ad88, 0x1ccc2fd5f73c8, 0x7bed1f863c00, 0x1a46d9b9844f4, 0x12e3ca6573ff6, 0x290c26cca98c, 0x514cb03b3b2e, 0x11168909cbc2c, 0x8e6dc910afda, 0x11311def1c440, 0x3e42d62664d8, 0x1c2bb2d75fe80, 0x2db5d58b45ca, 0x3d14059fd338, 0x109e8f457ebf8, 0x43b071b62a64, 0x185242247c010, 0x5e0c7721c092, 0x1c94950e46b82, 0x1761170f76a40});
+constexpr StatTable49 QRT_TABLE_49({0, 0x10004196, 0x10004194, 0x5099461f080, 0x10004190, 0x40840600c20, 0x5099461f088, 0x58a56349cfde, 0x10004180, 0x48641a0c03fe, 0x40840600c00, 0x10084002848, 0x5099461f0c8, 0x4002048, 0x58a56349cf5e, 0x5088460a048, 0x10004080, 0x4c2852624dde, 0x48641a0c01fe, 0x14893129c280, 0x40840600800, 0x1eb23c323ace8, 0x10084002048, 0x48740a09417e, 0x5099461e0c8, 0x40852604d96, 0x4000048, 0x5cad2b29c37e, 0x58a563498f5e, 0x20000200, 0x50884602048, 0x10000000000, 0x10014080, 0x4c2a56624d96, 0x4c2852604dde, 0x1ee2347438ca0, 0x48641a0801fe, 0x480000000048, 0x14893121c280, 0x14091121c080, 0x40840700800, 0x1a5099561e17e, 0x1eb23c303ace8, 0x8740a894136, 0x10084402048, 0x18101c501ace8, 0x48740a89417e, 0x15dace6286f96, 0x5099561e0c8});
+typedef Field<uint64_t, 49, 513, StatTable49, &SQR_TABLE_49, &SQR2_TABLE_49, &SQR4_TABLE_49, &SQR8_TABLE_49, &SQR16_TABLE_49, &QRT_TABLE_49, IdTrans, &ID_TRANS, &ID_TRANS> Field49;
+typedef FieldTri<uint64_t, 49, 9, RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5, 5, 5>, &SQR_TABLE_49, &SQR2_TABLE_49, &SQR4_TABLE_49, &SQR8_TABLE_49, &SQR16_TABLE_49, &QRT_TABLE_49, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri49;
+#endif
+
+#ifdef ENABLE_FIELD_INT_50
+// 50 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5, 5, 5> StatTable50;
+constexpr StatTable50 SQR_TABLE_50({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x1d, 0x74, 0x1d0, 0x740, 0x1d00, 0x7400, 0x1d000, 0x74000, 0x1d0000, 0x740000, 0x1d00000, 0x7400000, 0x1d000000, 0x74000000, 0x1d0000000, 0x740000000, 0x1d00000000, 0x7400000000, 0x1d000000000, 0x74000000000, 0x1d0000000000, 0x740000000000, 0x1d00000000000, 0x340000000001d, 0x1000000000053});
+constexpr StatTable50 SQR2_TABLE_50({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x74, 0x740, 0x7400, 0x74000, 0x740000, 0x7400000, 0x74000000, 0x740000000, 0x7400000000, 0x74000000000, 0x740000000000, 0x340000000001d, 0x151, 0x1510, 0x15100, 0x151000, 0x1510000, 0x15100000, 0x151000000, 0x1510000000, 0x15100000000, 0x151000000000, 0x1510000000000, 0x1100000000069, 0x10000000006e4, 0x6e34, 0x6e340, 0x6e3400, 0x6e34000, 0x6e340000, 0x6e3400000, 0x6e34000000, 0x6e340000000, 0x6e3400000000, 0x2e3400000001d, 0x234000000011f, 0x3400000001118});
+constexpr StatTable50 SQR4_TABLE_50({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x74000, 0x740000000, 0x340000000001d, 0x151000, 0x1510000000, 0x1100000000069, 0x6e3400, 0x6e34000000, 0x234000000011f, 0x1110100, 0x11101000000, 0x1010000000734, 0x7334740, 0x73347400000, 0x347400000145c, 0x14540510, 0x145405100000, 0x510000068b9, 0x68b91a34, 0x68b91a340000, 0x11a3400010106, 0x101010001, 0x1010100010000, 0x1000100074740, 0x1000747474000, 0x347474007401d, 0x340074015050d, 0x340150505101d, 0x1050510151069, 0x11015106e5a5d, 0x1106e5a5a3469, 0x25a5a346e351f, 0x2346e3510111e, 0x235101110001f, 0x111000110634, 0x1106347334, 0x1063473340074, 0x733400735301, 0x7353004541, 0x353004541014c, 0x454101446dc0, 0x101446dc1cb90, 0x6dc1cb97468d, 0x1cb97468c1a30, 0x3468c1a350009, 0x1a3500010007});
+constexpr StatTable50 SQR8_TABLE_50({0x1, 0x7334740, 0x1050510151069, 0x3468c1a350009, 0x341624173531c, 0x245791a347b50, 0x23179d1a40682, 0x1671402235203, 0x321023818751e, 0x143ca5b716dd5, 0x171633ad257de, 0x33860681a5d1d, 0x5e572f82a317, 0x10e7512224646, 0x32d6b56300005, 0x350ab39687414, 0x25c47550c1a8a, 0x23a2e2d91533f, 0x2211af19c2381, 0x352073a863a68, 0x37f43380f0ac4, 0x233516127052a, 0x25ad4785169cf, 0x237b6a609b0b6, 0x132fd372b5dac, 0x1f311727562e, 0x345bd7e275754, 0x352fe5b3d7708, 0x259a328ca3376, 0x25101aab53ece, 0x32701d9da5ace, 0x17809a9c86099, 0x72b4752a7323, 0x202d22dc33a7c, 0x5a8c0dbc19a2, 0x14a86b37416ad, 0x5c574289fe12, 0x3627f3bf0f37b, 0x27349052a4f83, 0x2436d71033de5, 0x22fab345e0bce, 0x27ea796d5a27a, 0x1e4f33562d17, 0x31a1f9c3f2154, 0x1638db7753f96, 0x2256163f33b5f, 0x11a6ecf28882e, 0x1bd4cf35f47cc, 0x25e19aeb21e64, 0x371612d0b4dcd});
+constexpr StatTable50 SQR16_TABLE_50({0x1, 0x14db3a1b1531f, 0x270a39b5e8c48, 0x26536a58442bd, 0x7f158d4b869e, 0x12663760f7d, 0x29634a2c8876, 0x15271f7ec5d31, 0x17fbb0726d0f0, 0x7f0f7bf826bb, 0x115135d3c7c4c, 0x348ffaaa125e5, 0x1887695a20d9, 0x25e41181c0de, 0x2670d7f17fb35, 0x356079737f513, 0x22bebda8a1574, 0x315f9649d2b50, 0x13abe45aa6ac8, 0x723d536b5242, 0x24263520a22a9, 0x15860c0156a69, 0x271d0bbeed892, 0x146920f281d19, 0x117d5d46e7991, 0x278d8273551fc, 0x15d73a9745614, 0x7e5e966bbfe0, 0x687b14e62abb, 0x178acea79fa5c, 0x3363c557e9662, 0x3153c79bf06ef, 0x15c8ff9daf7ce, 0x243b030f4617a, 0x20663fbd2383a, 0x25c5dbd448872, 0x21fc8dfbd2429, 0x229f9fb8f01b0, 0x17a180ae72359, 0x1c8e2f554ad9, 0x174596d1e774f, 0x3264c5da47f53, 0x333817d45b05c, 0x321907ec10dfd, 0x3a12b2018ada, 0x23ab0599cd08, 0x23028d60c00e5, 0x8ca05e2a1eab, 0x3537bf673a228, 0x32f8cf8611080});
+constexpr StatTable50 QRT_TABLE_50({0xfbdfa3ae9d4c, 0x38143245a4878, 0x38143245a487a, 0x38527487e7492, 0x38143245a487e, 0x3124c61f56d2a, 0x38527487e749a, 0xfa8c91b087c0, 0x38143245a486e, 0x3eca48c6196be, 0x3124c61f56d0a, 0x380000040080a, 0x38527487e74da, 0x976b2d8b39b4, 0xfa8c91b08740, 0xfa8cd5b02724, 0x38143245a496e, 0x316291dd013fe, 0x3eca48c6194be, 0x10344122064, 0x3124c61f5690a, 0x68c5f006ee40, 0x380000040000a, 0x852749fe64d0, 0x38527487e64da, 0x37ef8e9d0e9da, 0x976b2d8b19b4, 0x37fabd1cef34a, 0xfa8c91b0c740, 0x96282d9159b4, 0xfa8cd5b0a724, 0x464a8249dd0, 0x38143245b496e, 0x37eaa8ddc94be, 0x316291dd213fe, 0x392446035690a, 0x3eca48c6594be, 0x974b258b4964, 0x103441a2064, 0x385a7c87fb4da, 0x3124c61e5690a, 0xeb8ad5d9a724, 0x68c5f026ee40, 0x3724c61e5690a, 0x380000000000a, 0x3a8c5f026ee4a, 0x8527497e64d0, 0, 0x38527497e64da, 0x2fbdfa2ae8d0a});
+typedef Field<uint64_t, 50, 29, StatTable50, &SQR_TABLE_50, &SQR2_TABLE_50, &SQR4_TABLE_50, &SQR8_TABLE_50, &SQR16_TABLE_50, &QRT_TABLE_50, IdTrans, &ID_TRANS, &ID_TRANS> Field50;
+#endif
+
+#ifdef ENABLE_FIELD_INT_51
+// 51 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5, 5> StatTable51;
+constexpr StatTable51 SQR_TABLE_51({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x96, 0x258, 0x960, 0x2580, 0x9600, 0x25800, 0x96000, 0x258000, 0x960000, 0x2580000, 0x9600000, 0x25800000, 0x96000000, 0x258000000, 0x960000000, 0x2580000000, 0x9600000000, 0x25800000000, 0x96000000000, 0x258000000000, 0x960000000000, 0x2580000000000, 0x160000000004b, 0x580000000012c, 0x6000000000426});
+constexpr StatTable51 SQR2_TABLE_51({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x96, 0x960, 0x9600, 0x96000, 0x960000, 0x9600000, 0x96000000, 0x960000000, 0x9600000000, 0x96000000000, 0x960000000000, 0x160000000004b, 0x6000000000426, 0x4114, 0x41140, 0x411400, 0x4114000, 0x41140000, 0x411400000, 0x4114000000, 0x41140000000, 0x411400000000, 0x4114000000000, 0x1140000000258, 0x1400000002516, 0x40000000251f6, 0x251d38, 0x251d380, 0x251d3800, 0x251d38000, 0x251d380000, 0x251d3800000, 0x251d38000000, 0x251d380000000, 0x51d380000012c, 0x1d3800000100e, 0x538000001003d, 0x380000010011e});
+constexpr StatTable51 SQR4_TABLE_51({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x96000, 0x960000000, 0x160000000004b, 0x411400, 0x4114000000, 0x1140000000258, 0x251d380, 0x251d3800000, 0x1d3800000100e, 0x10010110, 0x100101100000, 0x1011000009600, 0x960969f6, 0x960969f60000, 0x169f60004110b, 0x6000411015132, 0x4110151054000, 0x1510540251f60, 0x540251f6ba760, 0x51f6ba74eb92c, 0x3a74eb900001f, 0x6b90000010033, 0x100010860, 0x1000108600000, 0x1086000096000, 0x960092874, 0x160092874004b, 0x128740041144b, 0x40041144304e2, 0x1144304c78258, 0x304c78251d1d8, 0x78251d1c38368, 0x1d1c38352800e, 0x3835280011188, 0x280011197096e, 0x1119709787000, 0x709787009fb46, 0x7009fb7861c9, 0x1fb7861cae24b, 0x61cae2456109, 0x2e245610a7bc3, 0x5610a7bd61498, 0x27bd614b79d2b, 0x614b79d3a74de, 0x79d3a74e9f68a, 0x274e9f6b06011, 0x1f6b06000000f});
+constexpr StatTable51 SQR8_TABLE_51({0x1, 0x960969f6, 0x40041144304e2, 0x79d3a74e9f68a, 0x61005961939d4, 0x2e2108dfdafb5, 0xe7e61b897f73, 0x493a58b330d18, 0x7882105dc65ec, 0x5f00774200d11, 0x63ef4cd371ef3, 0x660b24b8d214b, 0x7ab791e669e3d, 0x10821820969f6, 0x1544b9d4c3f3e, 0x831185e3da14, 0x1eb0831983187, 0x1d8699ae87312, 0x586e000eb5f1a, 0x3ea794ef9c821, 0x2ab1c63209cc1, 0x7f434bcc29855, 0x673d370c40117, 0x6a668249ddd8b, 0x48be019e56bbe, 0x57d1a751be823, 0x5621931ca6d5f, 0x68c5a37844a68, 0xefa69123b6b1, 0x5804da97df62a, 0x30c29b82f3986, 0x5b808f6ddc779, 0x2c8b4e7596cbe, 0x2c5a432ec7a14, 0x7f178a4d63277, 0x77112a07b99b7, 0x56cf47ad50529, 0x73a2180190a41, 0x25cbc68f1f1a8, 0x1c27dc22e6950, 0x2fbf4aafee2ad, 0x554b728a595ca, 0x52726d34627e, 0x6dcc716c9e860, 0x36ade274d5eff, 0x1fa23a55b359a, 0x1bc6260896059, 0x53a74c5798bc1, 0x50e671fc54a4a, 0x251a72b3c4c3c, 0x6d9623f5d3a1e});
+constexpr StatTable51 SQR16_TABLE_51({0x1, 0x27b32044e9663, 0x528c08dd195bf, 0x5d461228d5764, 0x616db8f131bf6, 0x9d910988ca4, 0x1e7a7a29c55fd, 0x512a2e6297818, 0x688d44453ead0, 0x70e0b6e1b3be2, 0x4313e5612d70, 0x132241d43589d, 0x7ca688c29c89a, 0x1d6b8caeb8958, 0x36d06e8e76e3b, 0x18ebafc89388e, 0x1cb5f93b2c29c, 0x5137bd7b7b6ec, 0x6e3ae8731000b, 0x359203e5e12fe, 0x1822ded1f1e16, 0x3ee9c50cbcb89, 0x5cc0b4564ab4, 0x695b235bd9236, 0x283c619a1ecb, 0x6f37f1f6ef70d, 0x7f394b6fbdd53, 0x3f482b36793f, 0x4055274e56dfa, 0x1a85d9d434f33, 0x37aa8f3df2031, 0x5f4e77b2bb063, 0x6e9702d84f07b, 0x25f16f8ffd4c2, 0x22c591d8277cb, 0x59435d9bae242, 0x46eaf9f69ddd9, 0x3098c1e26bd6e, 0x6c6544847a1d, 0x254946c0c33ce, 0x23970a6118811, 0x67f6c55082b49, 0x6592c83ebde46, 0x716418f089ed8, 0x8cb8de463166, 0x37cb1794fac42, 0x94ac55c1ac68, 0x3ab0d33bb4fdf, 0x1669c2f7ae3c5, 0x4d4e4f61d1f04, 0x476980d17eef5});
+constexpr StatTable51 QRT_TABLE_51({0x778bf2703d152, 0x2aaaafbff2092, 0x2aaaafbff2090, 0x4d2119c7e7780, 0x2aaaafbff2094, 0x65de1df8ae194, 0x4d2119c7e7788, 0x67d63d7ba262c, 0x2aaaafbff2084, 0x28ff003f4167c, 0x65de1df8ae1b4, 0x658397fb1d034, 0x4d2119c7e77c8, 0x4d7c9284526ba, 0x67d63d7ba26ac, 0x6666333fc0cbe, 0x2aaaafbff2184, 0x295b807ab55ee, 0x28ff003f4147c, 0x2aaabfffe0016, 0x65de1df8ae5b4, 0x209210349d60, 0x658397fb1d834, 0x4d215dc7cf1c8, 0x4d2119c7e67c8, 0x662b2b3d7b4be, 0x4d7c9284506ba, 0x255af00b36e0, 0x67d63d7ba66ac, 0x65de1fb8ac1a6, 0x6666333fc8cbe, 0x662f3b3ded4be, 0x2aaaafbfe2184, 0x663a9dbc3a426, 0x295b807a955ee, 0x4cdc9ec128928, 0x28ff003f0147c, 0x28a0c93cd511c, 0x2aaabfff60016, 0x65d73cf8e78d4, 0x65de1df9ae5b4, 0x4d5eddc44f1c8, 0x209210149d60, 0x357fcc506c8a, 0x658397ff1d834, 0, 0x4d215dcfcf1c8, 0x63f536f5d4554, 0x4d2119d7e67c8, 0x4000000000022, 0x662b2b1d7b4be});
+typedef Field<uint64_t, 51, 75, StatTable51, &SQR_TABLE_51, &SQR2_TABLE_51, &SQR4_TABLE_51, &SQR8_TABLE_51, &SQR16_TABLE_51, &QRT_TABLE_51, IdTrans, &ID_TRANS, &ID_TRANS> Field51;
+#endif
+
+#ifdef ENABLE_FIELD_INT_52
+// 52 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5> StatTable52;
+constexpr StatTable52 SQR_TABLE_52({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x9, 0x24, 0x90, 0x240, 0x900, 0x2400, 0x9000, 0x24000, 0x90000, 0x240000, 0x900000, 0x2400000, 0x9000000, 0x24000000, 0x90000000, 0x240000000, 0x900000000, 0x2400000000, 0x9000000000, 0x24000000000, 0x90000000000, 0x240000000000, 0x900000000000, 0x2400000000000, 0x9000000000000, 0x4000000000012});
+constexpr StatTable52 SQR2_TABLE_52({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x9, 0x90, 0x900, 0x9000, 0x90000, 0x900000, 0x9000000, 0x90000000, 0x900000000, 0x9000000000, 0x90000000000, 0x900000000000, 0x9000000000000, 0x41, 0x410, 0x4100, 0x41000, 0x410000, 0x4100000, 0x41000000, 0x410000000, 0x4100000000, 0x41000000000, 0x410000000000, 0x4100000000000, 0x1000000000024, 0x249, 0x2490, 0x24900, 0x249000, 0x2490000, 0x24900000, 0x249000000, 0x2490000000, 0x24900000000, 0x249000000000, 0x2490000000000, 0x4900000000012, 0x9000000000104});
+constexpr StatTable52 SQR4_TABLE_52({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x9000, 0x90000000, 0x900000000000, 0x4100, 0x41000000, 0x410000000000, 0x2490, 0x24900000, 0x249000000000, 0x1001, 0x10010000, 0x100100000000, 0x1000000000900, 0x9009000, 0x90090000000, 0x900000000410, 0x4104100, 0x41041000000, 0x410000000249, 0x2492490, 0x24924900000, 0x9249000000104, 0x1000001, 0x10000010000, 0x100000090, 0x1000000900000, 0x9000009000, 0x90000041, 0x900000410000, 0x4100004100, 0x1000041000024, 0x410000249000, 0x2490002490, 0x4900024900012, 0x249000100100, 0x1001001001, 0x10010010009, 0x100100090090, 0x1000900900900, 0x9009009009000, 0x90090041041, 0x900410410410, 0x4104104104100, 0x1041041024924, 0x410249249249, 0x2492492492490, 0x4924924910002, 0x9249100000004});
+constexpr StatTable52 SQR8_TABLE_52({0x1, 0x1000000000900, 0x900000410000, 0x410249249249, 0x349100000000, 0x1900000d1, 0x10d10d1065965, 0x51010000, 0x2d924909000, 0x4114114114109, 0xe591, 0x1000007c96591, 0x1903981d13981, 0x249000000001, 0x1000100000990, 0x990090451041, 0x41022cb49249, 0x37d824910000, 0x90191890190d8, 0x10d10d106edf5, 0x54114101, 0x102f4b400bd90, 0x5c04114114108, 0x8f5900000ebcc, 0x1e59107b5f401, 0x8f5ab89f5abcc, 0x24924900001, 0x1010010010909, 0x90000041d100, 0x41024f7df7d9, 0x34a591003491, 0x9001900000d0, 0x4c10d106522c, 0xb49051500100, 0x43dafdb40249, 0x428c0c5114109, 0x59001f590e576, 0x49f59f25facf6, 0x19039c4c17881, 0x26fdb4902491, 0x10110010998, 0x109009045cc51, 0x90022a8867d9, 0x9527ffcb5a6dc, 0x9bc01190190d9, 0x14c119006e608, 0x42fd9e0d55042, 0x143f711b5bfd9, 0x5fa58e1809008, 0x23d647ac81eb2, 0x57ac8f223a466, 0x865abc8b4abcc});
+constexpr StatTable52 SQR16_TABLE_52({0x1, 0x4f881c2d96599, 0xd7eb53011fc41, 0x81d7387961fef, 0xd9afe338982c3, 0x17590c140da98, 0x141a99a87a04e, 0x10036ba4083d9, 0x8f4f72ffb12c7, 0xc8b70df241e1b, 0x18bd9e5d46c40, 0x18331d76266bd, 0x4d915f264a4e0, 0x46aeffb8e4037, 0x4800042de37b5, 0xdb172953272e8, 0x17a9c2edf826a, 0x191cf7053e3f2, 0x82036da842cea, 0x5891da126c1e, 0x1e536e9e4af49, 0x451b5638f5449, 0x5a006c6c4f8c8, 0x5ac71a535fb44, 0xd39a4d489ebd0, 0x4704e31bc006d, 0xc4b327f6ffae1, 0x46980b709bd00, 0xd755405154c11, 0x5741be2d0b797, 0xcb3d48ed630cb, 0x98a66c9f4f599, 0x4caa324b91629, 0x816b5015eeeaf, 0xa595e92a8ed4, 0xc93c6d9f5a073, 0x4250068b39e2, 0x105add98997b5, 0x408b030c0bce0, 0xced5e4a4a2028, 0x1eb59d68e7f25, 0x189756a5b6db0, 0xc49c5a7c98b01, 0x18c9a496767cb, 0xde650554b3d49, 0x11077035fd81c, 0x8b37c5e95a659, 0x45b9226c2c25e, 0xdd2b5e20c7c8b, 0x6de972f0e7025, 0x84e80092f5681, 0x8dfcf97183cbc});
+constexpr StatTable52 QRT_TABLE_52({0xc108165459b0e, 0x10004086, 0x10004084, 0xc00000100104e, 0x10004080, 0x2041810a545b0, 0xc000001001046, 0x1181e055efc0, 0x10004090, 0x40810214390, 0x2041810a54590, 0xc000141019106, 0xc000001001006, 0x10816045ab40, 0x1181e055ef40, 0xc000111015196, 0x10004190, 0xe045c19af44a2, 0x40810214190, 0xe045809ad0532, 0x2041810a54190, 0xdb387a03fe646, 0xc000141019906, 0x2000000800000, 0xc000001000006, 0x2486548199c34, 0x108160458b40, 0x2041808a50534, 0x1181e055af40, 0xc0408312153d6, 0xc00011101d196, 0x21499f0e0eed0, 0x10014190, 0xe15dff9faabe2, 0xe045c19ad44a2, 0xdb787b01ea7d6, 0x40810254190, 0xe484409180532, 0xe045809a50532, 0xc14095164d896, 0x2041810b54190, 0x217dee8fb7a74, 0xdb387a01fe646, 0x441810b54190, 0xc000141419906, 0xc3386e15e7f46, 0x2000000000000, 0x1000141419900, 0xc000000000006, 0, 0x248654a199c34, 0xa48654a199c32});
+typedef Field<uint64_t, 52, 9, StatTable52, &SQR_TABLE_52, &SQR2_TABLE_52, &SQR4_TABLE_52, &SQR8_TABLE_52, &SQR16_TABLE_52, &QRT_TABLE_52, IdTrans, &ID_TRANS, &ID_TRANS> Field52;
+typedef FieldTri<uint64_t, 52, 3, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5>, &SQR_TABLE_52, &SQR2_TABLE_52, &SQR4_TABLE_52, &SQR8_TABLE_52, &SQR16_TABLE_52, &QRT_TABLE_52, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri52;
+#endif
+
+#ifdef ENABLE_FIELD_INT_53
+// 53 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 5> StatTable53;
+constexpr StatTable53 SQR_TABLE_53({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x8e, 0x238, 0x8e0, 0x2380, 0x8e00, 0x23800, 0x8e000, 0x238000, 0x8e0000, 0x2380000, 0x8e00000, 0x23800000, 0x8e000000, 0x238000000, 0x8e0000000, 0x2380000000, 0x8e00000000, 0x23800000000, 0x8e000000000, 0x238000000000, 0x8e0000000000, 0x2380000000000, 0x8e00000000000, 0x3800000000047, 0xe00000000011c, 0x18000000000437});
+constexpr StatTable53 SQR2_TABLE_53({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x238, 0x2380, 0x23800, 0x238000, 0x2380000, 0x23800000, 0x238000000, 0x2380000000, 0x23800000000, 0x238000000000, 0x2380000000000, 0x3800000000047, 0x18000000000437, 0x4054, 0x40540, 0x405400, 0x4054000, 0x40540000, 0x405400000, 0x4054000000, 0x40540000000, 0x405400000000, 0x4054000000000, 0x54000000008e, 0x54000000008e0, 0x14000000008e8e, 0x8ea56, 0x8ea560, 0x8ea5600, 0x8ea56000, 0x8ea560000, 0x8ea5600000, 0x8ea56000000, 0x8ea560000000, 0x8ea5600000000, 0xea5600000011c, 0xa560000001015, 0x560000001000b, 0x1600000010003e});
+constexpr StatTable53 SQR4_TABLE_53({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x23800, 0x238000000, 0x2380000000000, 0x40540, 0x405400000, 0x4054000000000, 0x8ea56, 0x8ea560000, 0x8ea5600000000, 0x1600000010003e, 0x1000111000, 0x10001110000000, 0x11100000238000, 0x2380219b80, 0x380219b800047, 0x19b8000405447, 0x4054441114, 0x54441114008e, 0x41114008ea5ee, 0x14008ea5e6c1b8, 0xea5e6c193611c, 0x6c1936100000d, 0x13610000000124, 0x1010338, 0x10103380000, 0x1033800000238, 0x180000023a3e0f, 0x23a3e3d4000, 0x1a3e3d40000437, 0x1d400004014997, 0x40149af1600, 0x149af160008e0, 0xf160008e2a4a3, 0x8e2a4bc4710, 0x2a4bc47101015, 0x1c4710101022bb, 0x101010228120a8, 0x102281208ba380, 0x1208ba3a3c26c, 0xba3a3c26e7e1c, 0x3c26e7e0ad413, 0xe7e0ad414deb9, 0xad414dea4a7d0, 0x14dea4a7c40960, 0x4a7c4094acd8b, 0x4094acd82b43a, 0xacd82b432f376, 0x2b432f3623804, 0x12f36238010027});
+constexpr StatTable53 SQR8_TABLE_53({0x1, 0x11100000238000, 0x1a3e3d40000437, 0x4a7c4094acd8b, 0x1eea7d6a679bbe, 0x1c423906384897, 0x2168da5f2c08c, 0x1b8259ec8ea11, 0x19d1f388b2d3d6, 0x1959a5720001a7, 0x1a6c8fa147c79, 0x191868056d58df, 0x19b717beaf7eb0, 0x1d37e92df66e7f, 0x16ec165c8535b7, 0x7da5e73dba0b3, 0x14d2bece5702b1, 0xadfaa30a5cf7e, 0x101934bec0d066, 0xaae7f006690ce, 0x6bfdbd85eb297, 0x6b2cb00d8c2b5, 0x52ee73aae547e, 0x67461baa976c2, 0xf8a44f459c7d, 0x2579abd0b5fc6, 0x6e7e5e9b82057, 0x1ab0a0fcf2d91c, 0x385dc87020053, 0xfc75a891c9df0, 0xca67b851d0c1a, 0x4c8d3234fd4f7, 0xf3ea564798c7f, 0x16881f479c0d6b, 0x60b0e8e33fe90, 0x18259a2869066d, 0xc52b463fb1475, 0x8229075c3475d, 0x6725108ff0948, 0xd5edf67d5a509, 0xbf52bb2383664, 0xd5b84ac7ed2ab, 0xbb5901d009d56, 0xcb380bfcebc5, 0x5f411d4594745, 0x18bdcb9f9d25da, 0xf0d3abe76ec15, 0x8b1a6404ca3b5, 0x15b7c7c793b65f, 0x11ff16f08569ff, 0x19c1d4c5eb3442, 0x5deb92ff5fc40, 0xa8009f9410cbc});
+constexpr StatTable53 SQR16_TABLE_53({0x1, 0x5a65e677a526f, 0x142b8f50195f72, 0x12b0ca8e8b1225, 0x1b892547f268cc, 0x1239ca3a4824b6, 0x4249dac026ea8, 0x38080cba150e5, 0x903882481cefb, 0x1ad11e5cf99bf0, 0x14fa149116ab75, 0x6cbd888de21e5, 0x1388c718c37a69, 0x89d1eb38e9978, 0xf12019f00f91f, 0xb377986c7da1f, 0x1c780b06da5cb9, 0x1e10c7eee3249d, 0xe1afb7bd8111d, 0xc821f2a6fa090, 0x1a26caa65e1d59, 0x4280741c8cc4c, 0xb9c507337dad8, 0x65bffa0a097b6, 0x12068bb8ed4ac0, 0x6d751e7056355, 0xbccc3fbdcf084, 0x17ed82d58ea927, 0x125a30b543b4b8, 0xaf1ce3f5f84ce, 0x1082e42090b649, 0xf8d6a6212c41a, 0x1f89211d4982d, 0x1910bdfe092d07, 0x9363da9b9b9d3, 0x8a7196ef7b84e, 0x33fe46ddf1dc, 0x1f3f3291cf719d, 0x91a5da69f1035, 0x5a8dc6eb62cfb, 0xaf99fcc57728a, 0x15e73f1aa49f47, 0x2d82e50796b97, 0x1072fcbb074200, 0x15180f0fc7904, 0xa3a194b750f79, 0xb053c3eea9bb3, 0x1e58da5ae123de, 0x10b47afec00861, 0x17cd9ea910639d, 0x1ecf806dbf8c36, 0xf93d00fe6145b, 0x1247d788a3eda});
+constexpr StatTable53 QRT_TABLE_53({0xf940b90844076, 0x1f940b90844052, 0x1f940b90844050, 0x9d2a063b43e64, 0x1f940b90844054, 0x936f69323ec14, 0x9d2a063b43e6c, 0xe12270a88898, 0x1f940b90844044, 0x1f917f00bb5a3c, 0x936f69323ec34, 0x1f622df85b46ee, 0x9d2a063b43e2c, 0x9bc65ab040b66, 0xe12270a88818, 0x958330b931986, 0x1f940b90844144, 0x98e2a06e32e0, 0x1f917f00bb583c, 0x1f877970dc1024, 0x936f69323e834, 0x16cc3c9b1558c2, 0x1f622df85b4eee, 0x16de1c3351dae8, 0x9d2a063b42e2c, 0x1fecdc7855f8ee, 0x9bc65ab042b66, 0x933821b1cb6fe, 0xe12270a8c818, 0x1f675958641c0e, 0x958330b939986, 0x9d97e050e960, 0x1f940b90854144, 0x1f820fa0e38adc, 0x98e2a06c32e0, 0x1650f0e358a010, 0x1f917f00bf583c, 0x1643af4b037a3a, 0x1f877970d41024, 0x1ffe2c281d8c16, 0x936f69333e834, 0xf00d50ffccf8, 0x16cc3c9b3558c2, 0x16bc31cbca943a, 0x1f622df81b4eee, 0xa6cbd8007232, 0x16de1c33d1dae8, 0x15d2a062b42e10, 0x9d2a062b42e2c, 0x1aa77896586ca, 0x1fecdc7a55f8ee, 0, 0x9bc65af042b66});
+typedef Field<uint64_t, 53, 71, StatTable53, &SQR_TABLE_53, &SQR2_TABLE_53, &SQR4_TABLE_53, &SQR8_TABLE_53, &SQR16_TABLE_53, &QRT_TABLE_53, IdTrans, &ID_TRANS, &ID_TRANS> Field53;
+#endif
+
+#ifdef ENABLE_FIELD_INT_54
+// 54 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6> StatTable54;
+constexpr StatTable54 SQR_TABLE_54({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x201, 0x804, 0x2010, 0x8040, 0x20100, 0x80400, 0x201000, 0x804000, 0x2010000, 0x8040000, 0x20100000, 0x80400000, 0x201000000, 0x804000000, 0x2010000000, 0x8040000000, 0x20100000000, 0x80400000000, 0x201000000000, 0x804000000000, 0x2010000000000, 0x8040000000000, 0x20100000000000, 0x400000000402, 0x1000000001008, 0x4000000004020, 0x10000000010080});
+constexpr StatTable54 SQR2_TABLE_54({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x804, 0x8040, 0x80400, 0x804000, 0x8040000, 0x80400000, 0x804000000, 0x8040000000, 0x80400000000, 0x804000000000, 0x8040000000000, 0x400000000402, 0x4000000004020, 0x40001, 0x400010, 0x4000100, 0x40001000, 0x400010000, 0x4000100000, 0x40001000000, 0x400010000000, 0x4000100000000, 0x1000000201, 0x10000002010, 0x100000020100, 0x1000000201000, 0x10000002010000, 0x20100804, 0x201008040, 0x2010080400, 0x20100804000, 0x201008040000, 0x2010080400000, 0x20100804000000, 0x1008040001008, 0x10080400010080, 0x804000100004, 0x8040001000040, 0x400010000002, 0x4000100000020});
+constexpr StatTable54 SQR4_TABLE_54({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x80400, 0x804000000, 0x8040000000000, 0x400010, 0x4000100000, 0x1000000201, 0x10000002010000, 0x20100804000, 0x1008040001008, 0x400010000002, 0x100000000100, 0x1008040, 0x10080400000, 0x804000000804, 0x8000001, 0x80000010000, 0x100004020, 0x1000040200000, 0x402000080400, 0x20000804020100, 0x8040200008000, 0x2000080400010, 0x804000000800, 0x8040001, 0x80400010000, 0x4000100004020, 0x1000040001000, 0x400010080400, 0x100804020100, 0x8040201008040, 0x2010080000010, 0x800000000004, 0x200, 0x2000000, 0x20000000000, 0x1008, 0x10080000, 0x100800000000, 0x8000000008040, 0x80002000, 0x800020000000, 0x200000040200, 0x402010080, 0x4020100800000, 0x1008000200008, 0x2000000002, 0x20000000020000, 0x201008000, 0x2010080000000, 0x800000100004});
+constexpr StatTable54 SQR8_TABLE_54({0x1, 0x10080400000, 0x100804020100, 0x1008000200008, 0x10080002000000, 0x4000000804, 0x8000201000040, 0x402000000000, 0x20100004020, 0x1000000000, 0x80000010, 0x20100800000100, 0x201008, 0x80002010080, 0x804020100000, 0x201000040, 0x2000080000, 0x4020100004000, 0x8040000, 0x10000402000, 0x20000, 0x1008000001008, 0x10080402010080, 0x4000000004, 0x40001000040, 0x10080402, 0x4020000004000, 0x40001, 0x2000080402010, 0x20000000000000, 0x1000000200000, 0x10000000000080, 0x4020100000, 0x40201008040, 0x402000080002, 0x4020000800000, 0x1000000201, 0x2000080400010, 0x100800000000, 0x8040001008, 0x400000000, 0x20000004, 0x8040200000040, 0x80402, 0x20000804020, 0x201008040000, 0x80400010, 0x800020000, 0x1008040001000, 0x2010000, 0x4000100800, 0x8000, 0x402000000402, 0x4020100804020});
+constexpr StatTable54 SQR16_TABLE_54({0x1, 0x80002010000, 0x4020000000000, 0x1000000201008, 0x402010000402, 0x20100804020000, 0x8000001000040, 0x2000000000000, 0x804020000800, 0x1000000201, 0x80002000080, 0x804020, 0x8, 0x400010080000, 0x20100000000000, 0x8000001008040, 0x2010080002010, 0x804020100804, 0x8000001, 0x10000000000000, 0x4020100004000, 0x8000001008, 0x400010000400, 0x4020100, 0x40, 0x2000080400000, 0x800000000804, 0x8040001, 0x10080400010080, 0x4020100804020, 0x40000008, 0x402, 0x20100800020000, 0x40000008040, 0x2000080002000, 0x20100800, 0x200, 0x10000402000000, 0x4000000004020, 0x40200008, 0x402000080002, 0x20100804020100, 0x200000040, 0x2010, 0x804000100804, 0x200000040200, 0x10000400010000, 0x100804000, 0x1000, 0x2010000402, 0x20000000020100, 0x201000040, 0x2010000400010, 0x804020100004});
+constexpr StatTable54 QRT_TABLE_54({0x201008000200, 0x26c10916494994, 0x26c10916494996, 0x40008008, 0x26c10916494992, 0x141a2434c12d12, 0x40008000, 0x36c00110594c22, 0x26c10916494982, 0x200000040200, 0x141a2434c12d32, 0x10010816104534, 0x40008040, 0x36da60b01308b2, 0x36c00110594ca2, 0x48200209000, 0x26c10916494882, 0x41b6da2d86106, 0x200000040000, 0x32db2c228965b0, 0x141a2434c12932, 0x9000000200048, 0x10010816104d34, 0x32db68b2832da4, 0x40009040, 0x40045928b4902, 0x36da60b01328b2, 0x1000040000, 0x36c00110590ca2, 0x101b69865a4120, 0x48200201000, 0x22da6434912884, 0x26c10916484882, 0x9000240208008, 0x41b6da2da6106, 0x22c14484c20180, 0x200000000000, 0x4016db29b6812, 0x32db2c228165b0, 0x9008200201048, 0x141a2434d12932, 0x32c36ca2c264b0, 0x9000000000048, 0x140a65b48a2c32, 0x10010816504d34, 0, 0x32db68b2032da4, 0x404490824814, 0x41009040, 0x14da60a4536126, 0x40045908b4902, 0x8000041009008, 0x36da60b41328b2, 0x6db68b2032c12});
+typedef Field<uint64_t, 54, 513, StatTable54, &SQR_TABLE_54, &SQR2_TABLE_54, &SQR4_TABLE_54, &SQR8_TABLE_54, &SQR16_TABLE_54, &QRT_TABLE_54, IdTrans, &ID_TRANS, &ID_TRANS> Field54;
+typedef FieldTri<uint64_t, 54, 9, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6>, &SQR_TABLE_54, &SQR2_TABLE_54, &SQR4_TABLE_54, &SQR8_TABLE_54, &SQR16_TABLE_54, &QRT_TABLE_54, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri54;
+#endif
+
+#ifdef ENABLE_FIELD_INT_55
+// 55 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5> StatTable55;
+constexpr StatTable55 SQR_TABLE_55({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x102, 0x408, 0x1020, 0x4080, 0x10200, 0x40800, 0x102000, 0x408000, 0x1020000, 0x4080000, 0x10200000, 0x40800000, 0x102000000, 0x408000000, 0x1020000000, 0x4080000000, 0x10200000000, 0x40800000000, 0x102000000000, 0x408000000000, 0x1020000000000, 0x4080000000000, 0x10200000000000, 0x40800000000000, 0x2000000000102, 0x8000000000408, 0x20000000001020});
+constexpr StatTable55 SQR2_TABLE_55({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x102, 0x1020, 0x10200, 0x102000, 0x1020000, 0x10200000, 0x102000000, 0x1020000000, 0x10200000000, 0x102000000000, 0x1020000000000, 0x10200000000000, 0x2000000000102, 0x20000000001020, 0x10004, 0x100040, 0x1000400, 0x10004000, 0x100040000, 0x1000400000, 0x10004000000, 0x100040000000, 0x1000400000000, 0x10004000000000, 0x40000000102, 0x400000001020, 0x4000000010200, 0x40000000102000, 0x1020408, 0x10204080, 0x102040800, 0x1020408000, 0x10204080000, 0x102040800000, 0x1020408000000, 0x10204080000000, 0x2040800000102, 0x20408000001020, 0x4080000010004, 0x40800000100040, 0x8000001000008});
+constexpr StatTable55 SQR4_TABLE_55({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x10200, 0x102000000, 0x1020000000000, 0x10004, 0x100040000, 0x1000400000000, 0x4000000010200, 0x102040800, 0x1020408000000, 0x4080000010004, 0x100000010, 0x1000000100000, 0x1000010200, 0x10000102000000, 0x1020000102000, 0x1020010004, 0x10200100040000, 0x1000400100040, 0x4001000410200, 0x10004102040800, 0x41020408102000, 0x4081020418004, 0x10204180000010, 0x41800000000040, 0x10300, 0x103000000, 0x1030000000000, 0x10106, 0x101060000, 0x1010600000000, 0x6000000010302, 0x103040c00, 0x103040c000000, 0x40c0000010106, 0x101020418, 0x1010204180000, 0x2041800010302, 0x18000103000008, 0x1030000103000, 0x1030010106, 0x10300101060000, 0x1010600101060, 0x6001010610302, 0x10106103040c00, 0x6103040c103020, 0x40c103041c106, 0x103041c1020418, 0x41c10204081060, 0x2040810214282, 0x8102142800008, 0x21428000000020});
+constexpr StatTable55 SQR8_TABLE_55({0x1, 0x1000010200, 0x101060000, 0x6103040c103020, 0x1001400010200, 0x4081121478004, 0x7903050f103028, 0x1100010200, 0x1020101162000, 0x6703040c113322, 0x113055c1030618, 0x50a102353a804, 0x3e83050f11336a, 0x103040f102071e, 0x101070200, 0x7123050c143020, 0x3100c010200, 0x60c193166c286, 0x6d2b040f15302c, 0x103140f010200, 0x2070f112772e2, 0x7621050c153322, 0x143341cd420418, 0x70e193270ee9e, 0xbe9840f14334e, 0x143355fe53051e, 0x3050e103555fc, 0x5153e50f143c00, 0x1001500050200, 0x450a152957a004, 0x7b071d0f11332a, 0x1000040200, 0x5000040b060000, 0x64061a0c103020, 0x153c44f147c71e, 0x4008142b428a04, 0x2ca75c8f103078, 0x113341f117371e, 0x5402040b162000, 0x62064aac143336, 0x50c003f51ff06, 0x7cf1f3d7ef2e6, 0x6e2d180714332e, 0x103150f050100, 0x43350b1a3152e2, 0x74261e06143020, 0x113f54fd17c65e, 0x56301c3b66cd98, 0x10dff9c7953054, 0x153055fe47360e, 0x46340a1b2277fc, 0x4574bfb5753c14, 0x50f003345fc52, 0x41f653264c9962, 0x7612375be93322});
+constexpr StatTable55 SQR16_TABLE_55({0x1, 0x4ba7488f00015a, 0x30ce9d3a61c1e4, 0x4a2e76980aff84, 0x4e44f5b9d2f610, 0x7b479e4450115c, 0x248c18e86b39b2, 0x1ba74c8406015a, 0x35e93420af76aa, 0x7f282c7c68ad54, 0x7f8b356ad7bc5a, 0x527272878d3b24, 0x587495a40395a4, 0x43c4d0fd51f96c, 0x57ce893a71f0c6, 0x62c68a94803da, 0x1b32bc920e6546, 0x5073c39b469c78, 0x2fba08c009b110, 0x10bd0559ba45c, 0x3bbbd0ca4b3246, 0x243ad4b7c193b8, 0x335d7f186b5db2, 0x5590f3a0fd73f0, 0x72953f208233ba, 0x5210b9a31e6c62, 0x744bb124e351da, 0x4929f00a730244, 0x736ff5bdc1c63c, 0x4c1da1fb246e2e, 0x553c18b46d95cc, 0x268f5c8c143376, 0x438f5a59cbf094, 0x6a718b25fd3946, 0x67053b1bf54fe0, 0x441c5323cb0288, 0x5def8fcd41d5a8, 0x40446cdfcdb062, 0x1043009fb20072, 0xef08d6ed9e9c6, 0xbdf8adea645be, 0x76b092b499c072, 0xd754f98b724c2, 0x5a21d55c8f8752, 0x4f0f36a62eeb0c, 0x262f651fb93b18, 0x3336d340aa0aaa, 0x69375d0e9970fa, 0x2e0997225afe66, 0x6692008b83364e, 0x230856519bc3ae, 0x2c0a54962f8378, 0x2a6460de8a4266, 0x2f14d8fa237452, 0x25934cd7ae0030});
+constexpr StatTable55 QRT_TABLE_55({0, 0x121d57b6623fde, 0x121d57b6623fdc, 0x68908340d10e00, 0x121d57b6623fd8, 0x100300510e20, 0x68908340d10e08, 0x10004096, 0x121d57b6623fc8, 0x100010000, 0x100300510e00, 0x7ea8c890a088e8, 0x68908340d10e48, 0x68809540871648, 0x10004016, 0x68808000808068, 0x121d57b6623ec8, 0x68909240d41c48, 0x100010200, 0x6884c170ad0216, 0x100300510a00, 0x68848160a50200, 0x7ea8c890a080e8, 0x7eecbca04ab4b6, 0x68908340d11e48, 0x120c54b62234c8, 0x68809540873648, 0x69929240d61c48, 0x10000016, 0x68808060800000, 0x68808000800068, 0x80000080, 0x121d57b6633ec8, 0x7ea8cb90a18ae8, 0x68909240d61c48, 0x16284090200080, 0x100050200, 0x474302a345e, 0x6884c170a50216, 0x166cbca0cab4de, 0x100300410a00, 0x1000000000000, 0x68848160850200, 0x688cc1f0a50296, 0x7ea8c890e080e8, 0x7e8cc1f0a50280, 0x7eecbca0cab4b6, 0x68000000000068, 0x68908341d11e48, 0x7880954487365e, 0x120c54b42234c8, 0x9929248d61c20, 0x68809544873648, 0x41121208561c20, 0x69929248d61c48});
+typedef Field<uint64_t, 55, 129, StatTable55, &SQR_TABLE_55, &SQR2_TABLE_55, &SQR4_TABLE_55, &SQR8_TABLE_55, &SQR16_TABLE_55, &QRT_TABLE_55, IdTrans, &ID_TRANS, &ID_TRANS> Field55;
+typedef FieldTri<uint64_t, 55, 7, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5>, &SQR_TABLE_55, &SQR2_TABLE_55, &SQR4_TABLE_55, &SQR8_TABLE_55, &SQR16_TABLE_55, &QRT_TABLE_55, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri55;
+#endif
+
+#ifdef ENABLE_FIELD_INT_56
+// 56 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5> StatTable56;
+constexpr StatTable56 SQR_TABLE_56({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x95, 0x254, 0x950, 0x2540, 0x9500, 0x25400, 0x95000, 0x254000, 0x950000, 0x2540000, 0x9500000, 0x25400000, 0x95000000, 0x254000000, 0x950000000, 0x2540000000, 0x9500000000, 0x25400000000, 0x95000000000, 0x254000000000, 0x950000000000, 0x2540000000000, 0x9500000000000, 0x25400000000000, 0x95000000000000, 0x5400000000012a, 0x5000000000043d, 0x40000000001061});
+constexpr StatTable56 SQR2_TABLE_56({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x95, 0x950, 0x9500, 0x95000, 0x950000, 0x9500000, 0x95000000, 0x950000000, 0x9500000000, 0x95000000000, 0x950000000000, 0x9500000000000, 0x95000000000000, 0x5000000000043d, 0x4111, 0x41110, 0x411100, 0x4111000, 0x41110000, 0x411100000, 0x4111000000, 0x41110000000, 0x411100000000, 0x4111000000000, 0x41110000000000, 0x11100000000254, 0x110000000025d5, 0x10000000025dc5, 0x25dcc5, 0x25dcc50, 0x25dcc500, 0x25dcc5000, 0x25dcc50000, 0x25dcc500000, 0x25dcc5000000, 0x25dcc50000000, 0x25dcc500000000, 0x5dcc500000012a, 0xdcc50000001061, 0xcc500000010079, 0xc500000010016c, 0x5000000100103c});
+constexpr StatTable56 SQR4_TABLE_56({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x9500, 0x95000000, 0x950000000000, 0x4111, 0x41110000, 0x411100000000, 0x110000000025d5, 0x25dcc500, 0x25dcc5000000, 0xdcc50000001061, 0x10010101, 0x100101010000, 0x1010100000950, 0x1000009509595, 0x95095959500, 0x5095959500043d, 0x95950004115111, 0x41151505011, 0x11515050110254, 0x505011025de985, 0x11025de9a93c10, 0x5de9a93c19c42a, 0xa93c19c400005d, 0x19c4000001000c, 0x100010094, 0x1000100940000, 0x1009400009500, 0x94000095009500, 0x950095418400, 0x954184004111, 0x41840041114111, 0x411141349dd4, 0x1141349dd425d5, 0x349dd425dce0d5, 0xd425dce0cce1b9, 0xdce0cce1ddd461, 0xcce1ddd4011160, 0xddd401110941f5, 0x1110941959dc4, 0x941959dc49cc5, 0x959dc49cc118d5, 0xc49cc1189454b9, 0xc1189454d4d12c, 0x9454d4d14358f8, 0xd4d14358b9aa44, 0x4358b9aa20a205, 0xb9aa20a221d7b8, 0x20a221d7ed10a2, 0x21d7ed10b0f90a, 0xed10b0f918507b, 0xb0f91850000050, 0x1850000001000d});
+constexpr StatTable56 SQR8_TABLE_56({0x1, 0x1010100000950, 0x950095418400, 0xd4d14358b9aa44, 0x1135dd851025d5, 0x2c3e45b8a8a9d9, 0xcc39c4d816cc89, 0x51109400, 0x8496c8edb8f151, 0x1c2d7d88406199, 0x3856af0918b2ea, 0x2c26c02be43364, 0x7c13f0a9492898, 0x887abc757e3b3c, 0x10100411009c5, 0x850b98e029a995, 0x18309e7d346f24, 0x49e692600134d8, 0xf902789abce101, 0xed998d1d57187b, 0xa5488e663e846e, 0x84267921a952d0, 0x3d464f2d15176e, 0x801aac9d710b04, 0xfc00d6eb916343, 0x5c7fb78f391c1, 0x745ee236e80ea0, 0x81f8c65be65eac, 0x1940095415941, 0x1188025e2103d0, 0x49c166e0b13f34, 0xbd26558f28a2b3, 0xe147d131ae4b81, 0x25b501ad8ba86d, 0x75fb4e24c70a79, 0x88172901f1684d, 0xb090520bb570a2, 0x963c9b97aad59, 0x39b1e5f12c85a6, 0xd90de4c2bf3055, 0x9c921257e4a1b, 0x45f1f318fef834, 0x48161e1eb09635, 0x10685b397538ce, 0xbc8d4a0c6bc62a, 0xdce738247bfad9, 0x1115b3337d25a4, 0x195bf5a6f0999b, 0xb85101388b2f37, 0x8ee1b2833544cf, 0x49bc1efef7da90, 0x346e404662e355, 0x8c0dab6a1217d6, 0x3cb782ec54c968, 0x5efe07d4f59f4, 0x55f19c0f482900});
+constexpr StatTable56 SQR16_TABLE_56({0x1, 0x2563e0b70105c4, 0x48ce07ef5576bb, 0xb94064d844f117, 0x207d2f511ffe3c, 0xf8f6dd1e2a3e6b, 0xe4cc405e0c6cdb, 0xd053f9b827b2bf, 0x550ae8d22edcbf, 0x29f7570f88728b, 0xa06a9e2dfd84a6, 0x55567b9483b3ff, 0x197c6c0d004df6, 0xe106c03f218a16, 0xc50dd2aaf0a388, 0x39473f6702a06c, 0xc8c1736b312ded, 0x992dc692bb707d, 0x24bb9a8dcad06f, 0x9cc45f9e3c2075, 0x455e7271eb130b, 0x847157a5326f59, 0xdc8ccb4ab3f5bd, 0x9463c02c46910d, 0xe1debd0b794514, 0x4c5128db660cde, 0x11910a685416a3, 0x11dfa5b9552a3d, 0x5d902ced822708, 0x794ff735e94601, 0xf1dc5fd7efcf7e, 0x19fb7ff8d06993, 0x7069119ac28a09, 0x98ba5a77d83e7f, 0xf4923dbc1b24e5, 0x7c2dcc84668312, 0xc27e2f5f2243f, 0x78c6d8ebe4bede, 0xad39495debf1a5, 0xa1564b894b50f0, 0x5898ae4e965be9, 0x28aa991e046567, 0x585e95889bb734, 0xc59e73661cf916, 0xed70696926d95d, 0xcca6630954309a, 0x8c4b12ac111264, 0xe8413ad0493e05, 0x1acea73bc9166, 0x9a7f11cd38d12d, 0x390dd1972139ec, 0x9146bc1a4fbff0, 0xd5a1c594335b01, 0x2566272e74ef1a, 0xd4a8baf259e7d0, 0x71e7efd8f20703});
+constexpr StatTable56 QRT_TABLE_56({0x10004084, 0xd058f12fd5925e, 0xd058f12fd5925c, 0x41a60b5566d9f0, 0xd058f12fd59258, 0xbda60a142740ba, 0x41a60b5566d9f8, 0xd059f1afc5e688, 0xd058f12fd59248, 0xfc040841615a22, 0xbda60a1427409a, 0xbda60b5426c1ca, 0x41a60b5566d9b8, 0x1a60b4166b950, 0xd059f1afc5e608, 0xfc000041409822, 0xd058f12fd59348, 0xd1ee7a4ef4185c, 0xfc040841615822, 0x9049759b80b4a4, 0xbda60a1427449a, 0xd258e06f301e18, 0xbda60b5426c9ca, 0x6dfeeb3bf6d7d2, 0x41a60b5566c9b8, 0xbdef3ed4ae398a, 0x1a60b41669950, 0xd1ef3f8eeff04c, 0xd059f1afc5a608, 0xbda203340783de, 0xfc000041401822, 0x2dfefbaff2b27a, 0xd058f12fd49348, 0xfdb788a0706776, 0xd1ee7a4ef6185c, 0x2e5de0ae41337a, 0xfc040841655822, 0x41eb17d5ceecf8, 0x9049759b88b4a4, 0x40048874211afc, 0xbda60a1437449a, 0xd04a720f93400c, 0xd258e06f101e18, 0xbc559cf5ac7fce, 0xbda60b5466c9ca, 0x6dc9759b88b4d6, 0x6dfeeb3b76d7d2, 0x92feea7b275af0, 0x41a60b5466c9b8, 0, 0xbdef3ed6ae398a, 0x2811d5edd8ee2a, 0x1a60b45669950, 0xb1a60b5466c9ca, 0xd1ef3f86eff04c, 0xec493582c8f032});
+typedef Field<uint64_t, 56, 149, StatTable56, &SQR_TABLE_56, &SQR2_TABLE_56, &SQR4_TABLE_56, &SQR8_TABLE_56, &SQR16_TABLE_56, &QRT_TABLE_56, IdTrans, &ID_TRANS, &ID_TRANS> Field56;
+#endif
+}
+
+Sketch* ConstructClMul7Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_49
+ case 49: return new SketchImpl<Field49>(implementation, 49);
+#endif
+#ifdef ENABLE_FIELD_INT_50
+ case 50: return new SketchImpl<Field50>(implementation, 50);
+#endif
+#ifdef ENABLE_FIELD_INT_51
+ case 51: return new SketchImpl<Field51>(implementation, 51);
+#endif
+#ifdef ENABLE_FIELD_INT_52
+ case 52: return new SketchImpl<Field52>(implementation, 52);
+#endif
+#ifdef ENABLE_FIELD_INT_53
+ case 53: return new SketchImpl<Field53>(implementation, 53);
+#endif
+#ifdef ENABLE_FIELD_INT_54
+ case 54: return new SketchImpl<Field54>(implementation, 54);
+#endif
+#ifdef ENABLE_FIELD_INT_55
+ case 55: return new SketchImpl<Field55>(implementation, 55);
+#endif
+#ifdef ENABLE_FIELD_INT_56
+ case 56: return new SketchImpl<Field56>(implementation, 56);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri7Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_49
+ case 49: return new SketchImpl<FieldTri49>(implementation, 49);
+#endif
+#ifdef ENABLE_FIELD_INT_52
+ case 52: return new SketchImpl<FieldTri52>(implementation, 52);
+#endif
+#ifdef ENABLE_FIELD_INT_54
+ case 54: return new SketchImpl<FieldTri54>(implementation, 54);
+#endif
+#ifdef ENABLE_FIELD_INT_55
+ case 55: return new SketchImpl<FieldTri55>(implementation, 55);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_8bytes.cpp b/src/minisketch/src/fields/clmul_8bytes.cpp
new file mode 100644
index 0000000000..8dc1089fee
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_8bytes.cpp
@@ -0,0 +1,175 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_8)
+
+#include "clmul_common_impl.h"
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_57
+// 57 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5> StatTable57;
+constexpr StatTable57 SQR_TABLE_57({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x22, 0x88, 0x220, 0x880, 0x2200, 0x8800, 0x22000, 0x88000, 0x220000, 0x880000, 0x2200000, 0x8800000, 0x22000000, 0x88000000, 0x220000000, 0x880000000, 0x2200000000, 0x8800000000, 0x22000000000, 0x88000000000, 0x220000000000, 0x880000000000, 0x2200000000000, 0x8800000000000, 0x22000000000000, 0x88000000000000, 0x20000000000011, 0x80000000000044});
+constexpr StatTable57 SQR2_TABLE_57({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x88, 0x880, 0x8800, 0x88000, 0x880000, 0x8800000, 0x88000000, 0x880000000, 0x8800000000, 0x88000000000, 0x880000000000, 0x8800000000000, 0x88000000000000, 0x80000000000044, 0x404, 0x4040, 0x40400, 0x404000, 0x4040000, 0x40400000, 0x404000000, 0x4040000000, 0x40400000000, 0x404000000000, 0x4040000000000, 0x40400000000000, 0x4000000000022, 0x40000000000220, 0x2222, 0x22220, 0x222200, 0x2222000, 0x22220000, 0x222200000, 0x2222000000, 0x22220000000, 0x222200000000, 0x2222000000000, 0x22220000000000, 0x22200000000011, 0x22000000000101, 0x20000000001001});
+constexpr StatTable57 SQR4_TABLE_57({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x880, 0x8800000, 0x88000000000, 0x80000000000044, 0x404000, 0x4040000000, 0x40400000000000, 0x22220, 0x222200000, 0x2222000000000, 0x20000000001001, 0x10001000, 0x100010000000, 0x100000000088, 0x880088, 0x8800880000, 0x88008800000000, 0x88000000040400, 0x404040400, 0x4040404000000, 0x4040000002222, 0x22222222, 0x222222220000, 0x22222200000101, 0x22000001000001, 0x10000000100, 0x100000001000000, 0x10000088000, 0x100000880000000, 0x8800000088000, 0x880004040, 0x8800040400000, 0x404000004040, 0x40000040400220, 0x404002222000, 0x40022220000220, 0x22200002222011, 0x22220100010, 0x22201000100011, 0x10001000100010, 0x10001000108800, 0x10001088008800, 0x10880088008800, 0x880088008c04, 0x88008c040404, 0x8c0404040404, 0x4040404040426, 0x4040404262222, 0x4042622222222, 0x26222222222222, 0x22222222232201, 0x22222322000001, 0x23220000000001});
+constexpr StatTable57 SQR8_TABLE_57({0x1, 0x100010000000, 0x100000880000000, 0x88008c040404, 0x80000000022264, 0x26262604000101, 0x50023220100230, 0x222aa222000001, 0x20000404041401, 0x100404003222000, 0x32aa22aa23aa01, 0x2326048800088, 0x808100222ea722, 0x508e36ec548e34, 0x26222000022223, 0x22000223200001, 0x32001001108801, 0x91001000108844, 0x85048c04880044, 0x4c86ae64c80220, 0x6ea40546662003, 0x66662726ae22ab, 0x40622aa2aa40c8, 0x26063ea6364477, 0x2406744c950437, 0x8a33606aa727aa, 0xd09332ca7e2d9a, 0x7e2c14ce3e6c17, 0x22aa2626260405, 0x22200002626011, 0x27260000002223, 0x22208812aa3011, 0x2ba30040488001, 0x48c8c9caebe26, 0x28898040489001, 0x1048c008922aa26, 0x30c0c08a22b801, 0x12222666fa72601, 0x9afa60a8048eaa, 0x6aa1400afba131, 0xbc9c168c00800d, 0xc083aa60588bb0, 0xbeeefeae26e6e7, 0x8c44ee22226ae2, 0x8c44ee32205042, 0x2667443228d143, 0x36af14ba381d17, 0x72eb33981a3f35, 0x72c911aab20d9d, 0x72ca2b2aaacccd, 0x66463fae3f44ff, 0xac345eee3b4077, 0xe4977caefbe1fd, 0xf01b70a0dd0f9a, 0xf40f74bc580bbd, 0x17e2d1c6c5c0f35, 0x3624140232aa33});
+constexpr StatTable57 SQR16_TABLE_57({0x1, 0xaeeec814065447, 0x110889c99ba3004, 0x1c59ed582798e0e, 0x1c9c766272a2a74, 0x1422928a5250a00, 0x2c97eb48f402a1, 0x10c6d916b128dea, 0x3f2e6ca66ebf67, 0x93ac75fcd63ec8, 0x19263128e42246, 0x1fd1ca54b556091, 0x60ff38200c4e09, 0x1381808ede9982b, 0xc7a9ace2f9dc2a, 0x6c2ee414271c57, 0x3c16f4cffdbe17, 0xc627ec6fe179ee, 0x178f994adf6525b, 0x18be0b635ca1650, 0x4afcb2ae2e98b6, 0x6f81f53a7688dd, 0x45319b3e02c15c, 0x1044be090058910, 0xaa02d012fca063, 0x11fba4c5b80dbfa, 0xf9f44be142268b, 0x1e351a44eb480bf, 0xacf5c17bd0aedf, 0x6f2d74bab851eb, 0x1b8ac3589da9915, 0x1afeb885d3fdd67, 0x7d7d596dd60bbd, 0x1329567316f5723, 0xfdfe23b549fcef, 0xc985ed1e7a009e, 0x71f794bbac1b03, 0xc740582125f7d0, 0x1b3584e031e3b77, 0x29978a3c559ed3, 0xde04d46b4ae516, 0x2f6d6e1c749405, 0x1ec95b44a4251f3, 0xb95b0a5f451f2d, 0x1dc80aedaab9bf2, 0xd0354d3ff74808, 0x180889b484b0364, 0x196895708367d90, 0x104575064a09414, 0x19e88f14fc111ec, 0x1cf4088d3cffd88, 0x1e6c28b9a76c6d5, 0x81ba060c9e485e, 0x12b811107188d68, 0x5e6f10ca82cd88, 0x120882748af043d, 0x145fb82467c596e});
+constexpr StatTable57 QRT_TABLE_57({0xd0c3a82c902426, 0x232aa54103915e, 0x232aa54103915c, 0x1763e291e61699c, 0x232aa541039158, 0x1f424d678bb15e, 0x1763e291e616994, 0x26fd8122f10d36, 0x232aa541039148, 0x1e0a0206002000, 0x1f424d678bb17e, 0x5d72563f39d7e, 0x1763e291e6169d4, 0x1519beb9d597df4, 0x26fd8122f10db6, 0x150c3a87c90e4aa, 0x232aa541039048, 0x15514891f6179d4, 0x1e0a0206002200, 0x14ec9ba7a94c6aa, 0x1f424d678bb57e, 0x1e0f4286382420, 0x5d72563f3957e, 0x4000080000, 0x1763e291e6179d4, 0x1ac0e804882000, 0x1519beb9d595df4, 0x1f430d6793b57e, 0x26fd8122f14db6, 0x3c68e806882000, 0x150c3a87c9064aa, 0x1484fe18b915e, 0x232aa541029048, 0x14f91eb9b595df4, 0x15514891f6379d4, 0x48f6a82380420, 0x1e0a0206042200, 0x14b1beb99595df4, 0x14ec9ba7a9cc6aa, 0x4cf2a82b00420, 0x1f424d679bb57e, 0x26aa0002000000, 0x1e0f4286182420, 0x173f1039dd17df4, 0x5d72563b3957e, 0x4aa0002000000, 0x4000880000, 0x16d31eb9b595df4, 0x1763e291f6179d4, 0x20000000000000, 0x1ac0e806882000, 0x2caa0002000000, 0x1519beb99595df4, 0, 0x1f430d6f93b57e, 0x73e90d6d93b57e, 0x26fd8132f14db6});
+typedef Field<uint64_t, 57, 17, StatTable57, &SQR_TABLE_57, &SQR2_TABLE_57, &SQR4_TABLE_57, &SQR8_TABLE_57, &SQR16_TABLE_57, &QRT_TABLE_57, IdTrans, &ID_TRANS, &ID_TRANS> Field57;
+typedef FieldTri<uint64_t, 57, 4, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5>, &SQR_TABLE_57, &SQR2_TABLE_57, &SQR4_TABLE_57, &SQR8_TABLE_57, &SQR16_TABLE_57, &QRT_TABLE_57, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri57;
+#endif
+
+#ifdef ENABLE_FIELD_INT_58
+// 58 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5> StatTable58;
+constexpr StatTable58 LOAD_TABLE_58({0x1, 0x77dd188d5d600, 0x41a7213270def0, 0x10921661867b40a, 0x880b92a6f74da3, 0x143e72cde8f4484, 0x1863cb65c3eee0e, 0x2a1aa4a82154057, 0x22265135db9e135, 0x1446f023770d6d0, 0x183c4be7b4fae6, 0x1cc8a1187e99bd4, 0x3a1ea282e1e2ff1, 0x2700aae9dbcd275, 0x1571f84428a416e, 0xc8eb0b234b8a57, 0x23227afc0d9ba75, 0x1de9497779018c7, 0x5898e896d43329, 0x1501bd1b83bb55f, 0xbb56c28ce180b, 0x188e087d2dbf7e0, 0x36eee77125d8ec9, 0xde4235cbe95166, 0x1c71e4d57306163, 0x2a7e1b1ae5d87ee, 0x3a685560450c909, 0x1cd0545bc185c4b, 0x151779b11f09892, 0x2ab069803c4d787, 0x3bf279c0b825ad5, 0x15edc1ef3d2513c, 0x37bf223b4d0d045, 0x262a786b0324cd3, 0x27658294b696713, 0x33771167b0137e8, 0x86a73ef2dc3271, 0xc64453d2ff05, 0x14c55bc975ce8c, 0x3581164b1e4826e, 0x461dde5468bc26, 0x3f31528346e9451, 0x3f2669a5324a555, 0xd0b1c042854400, 0x32cc9899ea263e3, 0x2a423a8a96f4e95, 0x3e64acd727b470b, 0x2f1f1c1de9c997d, 0x268f2df0a8ab060, 0x14fd82231712442, 0x106e14e5e9e8f8c, 0x2686a15d911a24c, 0x182f831c5142b40, 0x36ca3e60fc7c678, 0x22ba581841d83ff, 0x11539696ce13d17, 0x558c3670aecb8e, 0x2b9b2d828d6d864});
+constexpr StatTable58 SAVE_TABLE_58({0x1, 0xde56167ca60c8e, 0x166391328282dfb, 0x2c6ed660535e701, 0xf83470e499e0e, 0x3686f752cff05fd, 0x1ada23d28022d0b, 0x2a2ac069b41ffd4, 0x2d40f316b40053e, 0x3fb69372877a1f3, 0x13def6e665e9b30, 0x23eb4222bc98b90, 0x2991c5ab618f62c, 0x1c4b63ee1e37a86, 0xdcb10179c77602, 0x708837c2f0ee59, 0x151fe1b533a6d99, 0x44613653cb9d83, 0x33dc64f2b5abae6, 0x27d704726f1f9ba, 0x2fdef2de96892ad, 0x3fd032a21834dbe, 0x1ce2548191e42ab, 0x431410a40ab44b, 0x206f1338c9a75e1, 0x130035675a32179, 0xdf781bb8adbd09, 0x1aaaf085ea624e0, 0x1df0605123c28e9, 0x28d3b3631320c9c, 0x81951a3af55e95, 0x388c776adc88ca1, 0x3ebed178f719885, 0x3c4546b19b0fe51, 0x129564a29700d09, 0x3f642277d82c520, 0x3a46d24ff0ac3fd, 0x1e75e367d627740, 0x33b01746a0f4aad, 0x2af930ca2fa61f, 0x3fcea0ca3af7aac, 0x230722de56e3f4a, 0x3541e58cc5afefd, 0x32cf711ae15ba7e, 0x11d3670d510fc6f, 0x6ddd78eec82112, 0x216210641885856, 0x87535f37c08809, 0x1fa464b5f82155b, 0xdbd43e91708494, 0x1500e23396dd2c4, 0x16cf4098632235f, 0x37e9117da8979ba, 0x6f8bfa04f66a7, 0x18dff008060e626, 0x196286fd9dbad1c, 0x35078156610f8ab, 0x7a669ff8398fea});
+constexpr StatTable58 SQR_TABLE_58({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x63, 0x18c, 0x630, 0x18c0, 0x6300, 0x18c00, 0x63000, 0x18c000, 0x630000, 0x18c0000, 0x6300000, 0x18c00000, 0x63000000, 0x18c000000, 0x630000000, 0x18c0000000, 0x6300000000, 0x18c00000000, 0x63000000000, 0x18c000000000, 0x630000000000, 0x18c0000000000, 0x6300000000000, 0x18c00000000000, 0x63000000000000, 0x18c000000000000, 0x230000000000063, 0xc000000000014a, 0x300000000000528});
+constexpr StatTable58 SQR2_TABLE_58({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x18c, 0x18c0, 0x18c00, 0x18c000, 0x18c0000, 0x18c00000, 0x18c000000, 0x18c0000000, 0x18c00000000, 0x18c000000000, 0x18c0000000000, 0x18c00000000000, 0x18c000000000000, 0xc000000000014a, 0x1405, 0x14050, 0x140500, 0x1405000, 0x14050000, 0x140500000, 0x1405000000, 0x14050000000, 0x140500000000, 0x1405000000000, 0x14050000000000, 0x140500000000000, 0x50000000001ef, 0x50000000001ef0, 0x10000000001ef63, 0x1ef7bc, 0x1ef7bc0, 0x1ef7bc00, 0x1ef7bc000, 0x1ef7bc0000, 0x1ef7bc00000, 0x1ef7bc000000, 0x1ef7bc0000000, 0x1ef7bc00000000, 0x1ef7bc000000000, 0x2f7bc0000000129, 0x37bc0000000112d, 0x3bc000000011027, 0x3c0000000110022});
+constexpr StatTable58 SQR4_TABLE_58({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x18c0, 0x18c00000, 0x18c000000000, 0xc000000000014a, 0x1405000, 0x14050000000, 0x140500000000000, 0x1ef7bc, 0x1ef7bc0000, 0x1ef7bc00000000, 0x3bc000000011027, 0x110001100, 0x1100011000000, 0x11000000194c, 0x1000000194c018c, 0x194c0194c000, 0x14c0194c000014a, 0x194c00001545500, 0x15455154550, 0x154551545500000, 0x1154550001f18df, 0x150001f18c63193, 0x1f18c6318c7c00, 0xc6318c7c01010a, 0x18c7c0101000014, 0x1010000000101, 0x1000000010118c0, 0x10118d8c000, 0x10118d8c0000000, 0xd8c0000018d98a, 0x18d9811050, 0x18d98110500000, 0x18110500001411a, 0x500001410eb94c, 0x1410eb94bbc00, 0x10eb94bbc001ef0, 0x14bbc001ee85ab2, 0x1ee85aac1111, 0x2e85aac11110129, 0x2ac11110111097a, 0x111011109445c8c, 0x11109445c9554c0, 0x1445c9554d95406, 0x9554d954189419, 0xd954189414901f, 0x1894149014051f, 0x149014051e478f, 0x14051e478ee2ec, 0x11e478ee2edef63, 0x38ee2edef7aded3, 0x2edef7adef6bdc8, 0x37adef6bdf07c2d, 0x2f6bdf07c0018f9, 0x1f07c0018c018d1});
+constexpr StatTable58 SQR8_TABLE_58({0x1, 0x1100011000000, 0x10118d8c0000000, 0xd954189414901f, 0xc018def7a2f6f6, 0x1e19cc6d44444e, 0x2b2e8450d1ef706, 0x196294c624791e5, 0x2a9441aa2b74da8, 0x1c6810fa7a2fe66, 0x4e0f0eff6badbb, 0x26faf3a76e59127, 0x11aa58d6498919f, 0x3b3ce4e04f23b30, 0x2ed3f70684ae8d7, 0x8d64c737fc5014, 0x1516c589c4fd458, 0x5ba5cee14ea182, 0x368ad344d93d4ae, 0x15e2547ea25ba2a, 0xdecb4283969d9a, 0x2f2a95e5c791149, 0x3fc958586bc93d2, 0x3216bfeab663783, 0xced412d3f6e530, 0x85fb7bcb26d797, 0x19be97fdbcede01, 0x192a5409529ebf4, 0x98b4f8527795b1, 0x192e8188bbc9aac, 0x322f07e9abdf6d0, 0x2a4a5cd6239de91, 0x4c97dec82e63a, 0x37d6397e1d26aee, 0x1939dc6d77a98db, 0x2e23b8e5b0a982a, 0x2787751f5aa0dba, 0x3f81252033f3cc8, 0x1171b73d009f511, 0x8811f0328040bb, 0x3a659ae0b1d2417, 0xc8b454d91baa72, 0x197b01428520b86, 0x1872c8c17f7fe81, 0x143f7913f4c7f5, 0x3a71b7542e7ec68, 0x3e60d3d49155d34, 0x11d5f10402402c8, 0x2be8db11809a1df, 0x3667129f17b1d6a, 0x2749715db24cd0a, 0x185d6130cdfee96, 0x3abdc4d78640154, 0x39bd5ea2e22f89a, 0x3f9a113c1095209, 0xdb4c8bd4f72f4e, 0x32ae35f0ad0b4ee, 0x2f3770997f16cc});
+constexpr StatTable58 SQR16_TABLE_58({0x1, 0x2fcd2228a7c16ab, 0x846ef4a277243e, 0x1d2bf9061084cfb, 0x23598fddcd64f64, 0xcc36f3a7174e2a, 0x365a50c11b89583, 0x611bed1afae48, 0x22a03fae7957244, 0x45e6546308ff3e, 0x3aebd6f3893b9b4, 0x2bf4a9d5586f8db, 0x32fd7d2d5d6f867, 0x14819feeb813a6f, 0x100ab4d9ad808fc, 0x11c0fd674209c71, 0x3701211690581e7, 0x5c33087013a39a, 0x188935ebbc048bb, 0x10787f930a52538, 0xd49849206986b2, 0x17d1298ba5b565, 0x5d465e006f3142, 0x569a5ce90e9bff, 0x2b591716524b4cb, 0x32f7d39faa352cf, 0x10f701fea440dc0, 0x11c5f10a9d3c9d5, 0x18457154a0bf6ea, 0x15516f140726673, 0x1cf780781353aa4, 0x2a7d7e0e83c4bbc, 0x276c009e3198958, 0x220b8531adc2c11, 0x937d7effc370ab, 0x27632fc1b91dac1, 0x3b36628aa135d3f, 0x37230eddd77f21a, 0x1c1b5e0f410eca9, 0x3200c9c78a9127f, 0x3a55e6fb19e6dc4, 0x150cb064eb271f7, 0x5c74759db43ae1, 0x37046240fba02a9, 0x1937118eb920f04, 0x2795ad9a663a0c9, 0x1d4297ad3d62e8a, 0x3b927d82816e04d, 0x15b56f89c278c21, 0x2b8e4ef675619d6, 0x2e0823575b9bb28, 0xdeb4b405ed7e9c, 0x83d627c04e5155, 0x391134c52f7ae67, 0x9e2c9657999608, 0x3b1e574e9a4eb3a, 0x2b58dd062cd0021, 0x38d1fb86f1978ab});
+constexpr StatTable58 QRT_TABLE_58({0x21b9dfe73454bc2, 0x351ca3a13788360, 0x351ca3a13788362, 0x1ad5a042934094, 0x351ca3a13788366, 0x48f62c33f34cc, 0x1ad5a04293409c, 0x14b1f9a41eb8342, 0x351ca3a13788376, 0x3682437996f7786, 0x48f62c33f34ec, 0x21ad5a152920174, 0x1ad5a0429340dc, 0x3766ef998858a86, 0x14b1f9a41eb83c2, 0x151ca3a437843c2, 0x351ca3a13788276, 0x1e5ac7c1aff42c, 0x3682437996f7586, 0x3767ee558c7856a, 0x48f62c33f30ec, 0x39fb408a690330, 0x21ad5a152920974, 0x372f1d7dbf4255a, 0x1ad5a0429350dc, 0x39bb888af33330, 0x3766ef99885aa86, 0x27b58e0ba2df00, 0x14b1f9a41ebc3c2, 0x1540d06c191bcf2, 0x151ca3a4378c3c2, 0x39ee0d0a17f4c0, 0x351ca3a13798276, 0x2049f6c5379fdb4, 0x1e5ac7c1adf42c, 0x1ac5a182d64bf0, 0x3682437996b7586, 0x16cbe3c0a2c7c1e, 0x3767ee558cf856a, 0x372a1d35b20aa6a, 0x48f62c32f30ec, 0x26ab144a891cdc, 0x39fb408a490330, 0x205df3712ae76a8, 0x21ad5a152d20974, 0x34fb58f12e386b6, 0x372f1d7db74255a, 0x21b4a5f53871674, 0x1ad5a0439350dc, 0x1d602e40318fdc, 0x39bb8888f33330, 0x179bb8888f3332e, 0x3766ef99c85aa86, 0x2cec9eb2f5d0aa8, 0x27b58e03a2df00, 0x6caa1452491cdc, 0x14b1f9a51ebc3c2, 0});
+typedef Field<uint64_t, 58, 99, StatTable58, &SQR_TABLE_58, &SQR2_TABLE_58, &SQR4_TABLE_58, &SQR8_TABLE_58, &SQR16_TABLE_58, &QRT_TABLE_58, StatTable58, &LOAD_TABLE_58, &SAVE_TABLE_58> Field58;
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5> StatTableTRI58;
+constexpr StatTableTRI58 SQR_TABLE_TRI58({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x80001, 0x200004, 0x800010, 0x2000040, 0x8000100, 0x20000400, 0x80001000, 0x200004000, 0x800010000, 0x2000040000, 0x8000100000, 0x20000400000, 0x80001000000, 0x200004000000, 0x800010000000, 0x2000040000000, 0x8000100000000, 0x20000400000000, 0x80001000000000, 0x200004000000000, 0x10000100002, 0x40000400008, 0x100001000020, 0x400004000080, 0x1000010000200, 0x4000040000800, 0x10000100002000, 0x40000400008000, 0x100001000020000});
+constexpr StatTableTRI58 SQR2_TABLE_TRI58({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x200004, 0x2000040, 0x20000400, 0x200004000, 0x2000040000, 0x20000400000, 0x200004000000, 0x2000040000000, 0x20000400000000, 0x200004000000000, 0x40000400008, 0x400004000080, 0x4000040000800, 0x40000400008000, 0x4000000001, 0x40000000010, 0x400000000100, 0x4000000001000, 0x40000000010000, 0x180001, 0x1800010, 0x18000100, 0x180001000, 0x1800010000, 0x18000100000, 0x180001000000, 0x1800010000000, 0x18000100000000, 0x180001000000000, 0x10000300006, 0x100003000060, 0x1000030000600, 0x10000300006000, 0x100003000060000, 0x30000400004, 0x300004000040, 0x3000040000400, 0x30000400004000, 0x300004000040000, 0x4000020000c, 0x4000020000c0, 0x4000020000c00, 0x4000020000c000});
+constexpr StatTableTRI58 SQR4_TABLE_TRI58({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x2000040, 0x20000400000, 0x200004000000000, 0x40000400008000, 0x4000000001000, 0x18000100, 0x180001000000, 0x10000300006, 0x100003000060000, 0x30000400004000, 0x4000020000c00, 0x200004000100, 0x40001400008, 0x14000000001, 0x140000000010000, 0x380005000, 0x3800050000000, 0x5000070000e0, 0x70000400014, 0x3000040001c0001, 0x40001a0001c000, 0x1a000140001000, 0x1400024000680, 0x240004000050, 0x40000180009, 0x1800010001, 0x18000100010000, 0x1000130000600, 0x1300004000040, 0x4000220004c, 0x22000440001, 0x220004400010000, 0x44000540008800, 0x5400000001100, 0x1b800150, 0x1b8001500000, 0x380015000300006, 0x15000370006e000, 0x37000440005400, 0x440003a000dc0, 0x3a0005400110, 0x20005400160000e, 0x140016400068001, 0x164000400015000, 0x4000398005900, 0x3980051000100, 0x5100063000e6, 0x100063000460014, 0x2300044001c4001, 0x44001820018c00, 0x18200104001100, 0x1040021400608, 0x214004000041, 0x140040000010008});
+constexpr StatTableTRI58 SQR8_TABLE_TRI58({0x1, 0x40001400008, 0x1300004000040, 0x4000398005900, 0x21a004140001000, 0x15007370046e014, 0x14004001b810158, 0x18022100441001, 0x1005130063600e6, 0x4200004181059, 0x447a1a3f41ccd0, 0x383d151573100e6, 0x101600544019940, 0x270027c0059c000, 0x4818070100e1, 0x20545402560168e, 0x76071e40419414, 0x38001501bb00157, 0x18054101401149, 0x104343116260a0c, 0x17b9c06c9180809, 0x35b793b6107d791, 0x2e706624276b452, 0x3a543cf805118, 0x278004063619444, 0x22aae45555d4155, 0x105597ba5075e80, 0x364504676052ce, 0x35800790000401, 0x264044141418809, 0x3313274051a405d, 0x52c1b85195848, 0x57f03b8205e9e, 0x22c5044070044e0, 0x1547370047f115, 0x10402383a848d51, 0x16220024510a1, 0x4050579e30c9e7, 0x15e201b4605c018, 0x297e7fd6e672cc2, 0x286f01429f08ff7, 0x31c56646279854c, 0x36fd34ece6e98e6, 0x31e6939431f00b9, 0x311386d18673a0a, 0x2b6524f5cf195aa, 0x2dd63711ff50016, 0x1585649073391ae, 0x1004431143e1ab5, 0x13be61cf659d4d9, 0x98a87036371777, 0x66673706472d14, 0x273867fcbd99159, 0x27c4c58464098e9, 0x347304213c56db, 0x721f05c140cc15, 0x38144503ed007d9, 0x2e054541404549});
+constexpr StatTableTRI58 SQR16_TABLE_TRI58({0x1, 0x3f4d56f7779e1f0, 0xe27368ee2eeacd, 0x135c653e9699a2f, 0x6b0f78c5b96a46, 0x25fa3044c7e0248, 0x2a078335aa8c788, 0x2b2fb5e8ec09222, 0x214fe2bd0b14a22, 0x10b6f34977f0f41, 0x3dc4a1564361cee, 0xa2ae7c793a9fcf, 0x7fc45e1a362304, 0x3ec19729047ce58, 0x1ef9b26acd27396, 0x225a72a9b2db21a, 0xaaa90ccba715d8, 0x2da6362d54cd62, 0x37dae1e3484d433, 0x1ced37972ce3594, 0x164d907773ab8b9, 0xbeaf6f3fc883a1, 0x1d8ac7ee4682652, 0x102fa1481f0470a, 0x3e17062fd515fba, 0x21652276c35fe65, 0x57862a59d3fa78, 0x36b077a8057cde3, 0x287ce593d9cee2f, 0x290b965ae5d215a, 0x2cc2a18d887125c, 0xc46c603fd8423b, 0xdcd705a0e16776, 0x3307e00c6585a3f, 0x2d82d4b6c18532d, 0x28efe74f174d530, 0x2ddbc57b95adaac, 0x31d41679a107eb4, 0x1f24f6f872cb97f, 0x32718f9b0a03ff6, 0x1f283546f68ca0c, 0x158f309c150c885, 0x1ccaf78ea1873ea, 0x30e3b732bf1875f, 0xcce47efdb9ecb1, 0xcf3954987b5601, 0xebdc136185c456, 0x388046727963e11, 0x22e117909faee51, 0x3215b67613a2a60, 0x172480d3a2f11de, 0x382552280610b4d, 0x3c53c5d9c350cce, 0x6edc0d3330295e, 0x3452a6b8c868f37, 0x398cd7e93017ecc, 0x2e1ec37c30a741e, 0xb00d11006ffa14});
+constexpr StatTableTRI58 QRT_TABLE_TRI58({0x2450096792a5c5c, 0x610014271011c, 0x610014271011e, 0x1f0cb811314ea88, 0x610014271011a, 0x8000000420, 0x1f0cb811314ea80, 0x265407ad8a20bcc, 0x610014271010a, 0x3d18be98392ebd0, 0x8000000400, 0xc29b930e407056, 0x1f0cb811314eac0, 0x1fcef001154dee8, 0x265407ad8a20b4c, 0xc69b924c61f94a, 0x610014271000a, 0x211006895845190, 0x3d18be98392e9d0, 0x54007accac09cc, 0x8000000000, 0xc08b934e107854, 0xc29b930e407856, 0x275407adc220bcc, 0x1f0cb811314fac0, 0x1f6db815164ea8a, 0x1fcef001154fee8, 0x1b2db801945e396, 0x265407ad8a24b4c, 0x21100ec95865590, 0xc69b924c61794a, 0x273507b1e530ad6, 0x610014270000a, 0x1b4cb835b34e29c, 0x211006895865190, 0x3839bf20d47e016, 0x3d18be98396e9d0, 0x3858bd34f36e01c, 0x54007acca409cc, 0, 0x8000100000, 0xc29a130e507856, 0xc08b934e307854, 0x13253921d448296, 0xc29b930e007856, 0x13c60935f6486bc, 0x275407adca20bcc, 0x3571be8c5e6c9da, 0x1f0cb811214fac0, 0x410014261011c, 0x1f6db815364ea8a, 0x13a50921d1486b6, 0x1fcef001554fee8, 0x64001249245a5c, 0x1b2db801145e396, 0x8610014670200a, 0x265407ac8a24b4c, 0x1a5cbfbdeb0f30c});
+typedef FieldTri<uint64_t, 58, 19, StatTableTRI58, &SQR_TABLE_TRI58, &SQR2_TABLE_TRI58, &SQR4_TABLE_TRI58, &SQR8_TABLE_TRI58, &SQR16_TABLE_TRI58, &QRT_TABLE_TRI58, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri58;
+#endif
+
+#ifdef ENABLE_FIELD_INT_59
+// 59 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5> StatTable59;
+constexpr StatTable59 SQR_TABLE_59({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x12a, 0x4a8, 0x12a0, 0x4a80, 0x12a00, 0x4a800, 0x12a000, 0x4a8000, 0x12a0000, 0x4a80000, 0x12a00000, 0x4a800000, 0x12a000000, 0x4a8000000, 0x12a0000000, 0x4a80000000, 0x12a00000000, 0x4a800000000, 0x12a000000000, 0x4a8000000000, 0x12a0000000000, 0x4a80000000000, 0x12a00000000000, 0x4a800000000000, 0x12a000000000000, 0x4a8000000000000, 0x2a000000000012a, 0x28000000000043d, 0x200000000001061});
+constexpr StatTable59 SQR2_TABLE_59({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x12a, 0x12a0, 0x12a00, 0x12a000, 0x12a0000, 0x12a00000, 0x12a000000, 0x12a0000000, 0x12a00000000, 0x12a000000000, 0x12a0000000000, 0x12a00000000000, 0x12a000000000000, 0x2a000000000012a, 0x200000000001061, 0x10444, 0x104440, 0x1044400, 0x10444000, 0x104440000, 0x1044400000, 0x10444000000, 0x104440000000, 0x1044400000000, 0x10444000000000, 0x104440000000000, 0x4440000000012a, 0x4440000000012a0, 0x440000000012ea8, 0x40000000012ee28, 0x12ee628, 0x12ee6280, 0x12ee62800, 0x12ee628000, 0x12ee6280000, 0x12ee62800000, 0x12ee628000000, 0x12ee6280000000, 0x12ee62800000000, 0x2ee62800000012a, 0x6e6280000001061, 0x662800000010079, 0x62800000010016c, 0x28000000100103c});
+constexpr StatTable59 SQR4_TABLE_59({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x12a0, 0x12a00000, 0x12a000000000, 0x2a000000000012a, 0x1044400, 0x10444000000, 0x104440000000000, 0x40000000012ee28, 0x12ee628000, 0x12ee6280000000, 0x662800000010079, 0x100101010, 0x1001010100000, 0x101010000012a0, 0x10000012a12b2a, 0x12a12b2b2a00, 0x2a12b2b2a00012a, 0x32b2a0001045461, 0x200010454541421, 0x104545414044000, 0x45414044012ef02, 0x4044012ef4d49aa, 0x12ef4d49e0ce28, 0x74d49e0ce290079, 0x1e0ce290000011d, 0x62900000100016d, 0x100010013a0, 0x100010013a00000, 0x10013a00012a000, 0x3a00012a012a12a, 0x12a012a116e400, 0x12a116e4010444, 0x116e40104450444, 0x40104450457ea6c, 0x4450457ea2692a0, 0x457ea2692ee7020, 0x22692ee706f7059, 0x2ee706f707e73ba, 0x6f707e73901116, 0x7e7390111013b6, 0x390111013b12b16, 0x11013b12b299b2a, 0x3b12b299b398b2a, 0x3299b398b17de61, 0x3398b17de543b4f, 0x317de543b7b1065, 0x6543b7b1053bb27, 0x37b1053bb4d0b6b, 0x53bb4d0b5b95ca, 0x34d0b5b95cfbf5b, 0x35b95cfbf6885b5, 0x5cfbf688587c89a, 0x7688587c8cf3adb, 0x587c8cf3aa00050, 0xcf3aa00001000d});
+constexpr StatTable59 SQR8_TABLE_59({0x1, 0x1001010100000, 0x10013a00012a000, 0x3398b17de543b4f, 0x2a00116b8c2812a, 0x7cbf06ffa4d5cd6, 0x1288f1cf576c2e0, 0x3047cfc394d3391, 0x322d00452b2c451, 0x226dcb1999949d1, 0x2e2e5ab30351bc0, 0x10b2afcfca2edc6, 0x7ff39b98a3372a8, 0x2d7b439441ae332, 0x5603b26a2dae616, 0x3a13899c470338a, 0x16e8a14f0113f3c, 0x754f4aa46d3bb2, 0x38aa45436b16334, 0x634468d6b3f47b5, 0x248ca58bd03241d, 0x255d1fbddf51ae7, 0x7f4b46a330ef6bc, 0x3b3159b37b1a654, 0x7bbff798b50cf3e, 0x568afef7a72512a, 0x701d7955e599ab3, 0x3e7aed5ec2e2c82, 0x5c4d118847ff477, 0x21264d599c12421, 0x4d287fc89bb5a71, 0x6d1f30202fff956, 0x6c54d2de7c68bf8, 0x350c930ed65aed3, 0x5630ddede4ba32c, 0x7c18282af602d36, 0x198a362bf3c8a07, 0x40dde880541e01c, 0x49c0e7e7438c0c7, 0x3ade2abe6845a50, 0x6ffad83e7ac09c4, 0x52185a0d23e667a, 0x2e8c821b63a858a, 0x770e59a57577b23, 0x2fe0ea55e7032a6, 0x23cf0c9a1565a09, 0x1c53d32d80a4427, 0x23164f78db9fa8b, 0x691c4ffab038e2a, 0x33fc91a8a831d85, 0x48039e34eec4e05, 0x2581dbb898c10b5, 0x374067097dfc9f9, 0x241611fdbd3f8e7, 0x1b9f2934941d831, 0x1940c046b9b4a62, 0x5333ac5e7a608f6, 0xe9fa1f11b06830, 0x3d3bbe0ab819c34});
+constexpr StatTable59 SQR16_TABLE_59({0x1, 0x857cdd2d43d447, 0xf829d2f68520b5, 0x19fe843a13f84fd, 0xcac85f3b30aa13, 0x5c7d9cd6997e169, 0x21e7ab9693a08f3, 0xe5cda6478df23f, 0xc3e206ed797b25, 0x755908ad7cca1c1, 0x16236a14b269480, 0x5fedfd73877a5e3, 0x6d66cb2c634cab2, 0x1b60fade310cb41, 0x5dcfd76c147e4ff, 0x2e686c220dcdc6a, 0x1d348a9dfc46113, 0x4e97ec4ce1b1081, 0x20ccc4ae0ada275, 0x5ec224932d09f73, 0x385cecd0572d2a0, 0x520f6a5162503d4, 0x3ff8003ba0976e, 0x5a314f7726ffcb7, 0x505c4f556b43e5a, 0x259ddd3f8c27783, 0x25441858e820409, 0x2714ab44ef6c58b, 0x53437cae5c3011c, 0x122c6454cb53ac0, 0x349b57934525af9, 0x394e01a9ab9a786, 0x665a91eb8e73f0d, 0x4c4e86cc5c98631, 0x7983a92ec037fe2, 0x67919ad3e0a3d69, 0x685c3d6c72af62e, 0x4eafca0e4b49fd7, 0x69534a8afbbeee, 0x720f8307d28c8cb, 0x49828239c03d1b7, 0x4c7e6edd9907a53, 0x1fe81ca4466f8fb, 0x19a865c194c7a23, 0x518bbfec9151454, 0x5b7bfbc756a7e4d, 0x146cc66da8b0754, 0x58e7cba08f0b29b, 0x1b578332a8f1985, 0x72d1c4f9eacac25, 0x6fc4f312025b99a, 0x199f6741974302b, 0x3edcb2e16193874, 0x38b45862414392c, 0x3a6669ab6604f52, 0x227da450a65496e, 0x4e85a5c57a7f719, 0x36b5dbf304b88be, 0x2ba8a1264ef68a0});
+constexpr StatTable59 QRT_TABLE_59({0x38d905ab028567a, 0x789fa6ed3b44d72, 0x789fa6ed3b44d70, 0x74ec857e93d828c, 0x789fa6ed3b44d74, 0x116b3c1203c96, 0x74ec857e93d8284, 0xc25ebc3871e280, 0x789fa6ed3b44d64, 0x47a37c3d910b6, 0x116b3c1203cb6, 0xc7322d7a8f48de, 0x74ec857e93d82c4, 0xb509a0ea52e496, 0xc25ebc3871e200, 0x74fdee4681d3e0c, 0x789fa6ed3b44c64, 0x7ffbbd080b2f09a, 0x47a37c3d912b6, 0xd5c937bae506c8, 0x116b3c12038b6, 0xb173c76987625e, 0xc7322d7a8f40de, 0x7591ff36b3a682c, 0x74ec857e93d92c4, 0x72b253bfbfc90c4, 0xb509a0ea52c496, 0x79f2e7b10e6d452, 0xc25ebc3871a200, 0x78c86e951086aac, 0x74fdee4681dbe0c, 0x78c96eb514c602c, 0x789fa6ed3b54c64, 0xc34818b95658e8, 0x7ffbbd080b0f09a, 0x7399f563b1980f2, 0x47a37c3dd12b6, 0xa29e0e28c58880, 0xd5c937baed06c8, 0x788ac23520ac82c, 0x116b3c13038b6, 0xa2c857e83d92b6, 0xb173c769a7625e, 0x608da990122e48, 0xc7322d7acf40de, 0xa3a89269eebefe, 0x7591ff36bba682c, 0xa25ebc2871a200, 0x74ec857e83d92c4, 0x11f62e419f1cfe, 0x72b253bf9fc90c4, 0x7425ebc2871a272, 0xb509a0ee52c496, 0x4ed8555979c8de, 0x79f2e7b18e6d452, 0x6c3580d5915d4d2, 0xc25ebc2871a200, 0, 0x78c86e971086aac});
+typedef Field<uint64_t, 59, 149, StatTable59, &SQR_TABLE_59, &SQR2_TABLE_59, &SQR4_TABLE_59, &SQR8_TABLE_59, &SQR16_TABLE_59, &QRT_TABLE_59, IdTrans, &ID_TRANS, &ID_TRANS> Field59;
+#endif
+
+#ifdef ENABLE_FIELD_INT_60
+// 60 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6> StatTableTRI60;
+constexpr StatTableTRI60 SQR_TABLE_TRI60({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000, 0x30000000, 0xc0000000, 0x300000000, 0xc00000000, 0x3000000000, 0xc000000000, 0x30000000000, 0xc0000000000, 0x300000000000, 0xc00000000000, 0x3000000000000, 0xc000000000000, 0x30000000000000, 0xc0000000000000, 0x300000000000000, 0xc00000000000000});
+constexpr StatTableTRI60 SQR2_TABLE_TRI60({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x3, 0x30, 0x300, 0x3000, 0x30000, 0x300000, 0x3000000, 0x30000000, 0x300000000, 0x3000000000, 0x30000000000, 0x300000000000, 0x3000000000000, 0x30000000000000, 0x300000000000000, 0x5, 0x50, 0x500, 0x5000, 0x50000, 0x500000, 0x5000000, 0x50000000, 0x500000000, 0x5000000000, 0x50000000000, 0x500000000000, 0x5000000000000, 0x50000000000000, 0x500000000000000, 0xf, 0xf0, 0xf00, 0xf000, 0xf0000, 0xf00000, 0xf000000, 0xf0000000, 0xf00000000, 0xf000000000, 0xf0000000000, 0xf00000000000, 0xf000000000000, 0xf0000000000000, 0xf00000000000000});
+constexpr StatTableTRI60 SQR4_TABLE_TRI60({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x30, 0x300000, 0x3000000000, 0x30000000000000, 0x500, 0x5000000, 0x50000000000, 0x500000000000000, 0xf000, 0xf0000000, 0xf00000000000, 0x11, 0x110000, 0x1100000000, 0x11000000000000, 0x330, 0x3300000, 0x33000000000, 0x330000000000000, 0x5500, 0x55000000, 0x550000000000, 0x50000000000000f, 0xff000, 0xff0000000, 0xff00000000000, 0x101, 0x1010000, 0x10100000000, 0x101000000000000, 0x3030, 0x30300000, 0x303000000000, 0x30000000000005, 0x50500, 0x505000000, 0x5050000000000, 0x5000000000000f0, 0xf0f000, 0xf0f0000000, 0xf0f00000000000, 0x1111, 0x11110000, 0x111100000000, 0x111000000000003, 0x33330, 0x333300000, 0x3333000000000, 0x330000000000055, 0x555500, 0x5555000000, 0x55550000000000, 0x500000000000fff, 0xffff000, 0xffff0000000, 0xffff00000000000});
+constexpr StatTableTRI60 SQR8_TABLE_TRI60({0x1, 0x110000, 0x10100000000, 0x111000000000003, 0x300030, 0x33003300000, 0x30303000000005, 0x330000000555555, 0x50000000500, 0x50000005500000f, 0x5050000f0f000, 0x5000ffff0000fff, 0xf000f000f011, 0xff00ff1010101, 0xf0e11111111111, 0x31, 0x3210000, 0x313100000000, 0x221000000000056, 0x5300530, 0x563056300000, 0x5353530000000f5, 0x63000000faaaaaa, 0xf5000000f500, 0x500000fa500010e, 0xf5f50011e1f000, 0x5010ffef0010ffe, 0x11f011f011f321, 0x10ef10ec1313131, 0x1e2d22222222222, 0x501, 0x55110000, 0x5040100000000, 0x411000000000ffc, 0xf030f030, 0xff33ff3300000, 0xc0c03000001114, 0x330000100555554, 0x11050000110500, 0x50001015500303f, 0x114050333c0f003, 0x5300fcff0300fcf, 0x330f330f330a511, 0x3fc03af4040404, 0x395b44444444444, 0xf531, 0xfa6210000, 0xf5c43100000000, 0x721000000010fa8, 0x11f521f530, 0x10ea73ea6300000, 0x4d4c530000322d7, 0x63000310faaaa9b, 0x321f5000321f500, 0x500313ea505343e, 0x2d4f55677d1f056, 0x310acef5310ace, 0x621a621a62e562e, 0x43bc4cb34c4c4c4, 0x878788888888888});
+constexpr StatTableTRI60 SQR16_TABLE_TRI60({0x1, 0x563055110000, 0x111010233c0f003, 0x1200afffa8baffc, 0x5356030553000c5, 0x7145cf221744a77, 0x5748045489aaaaf, 0x7d52fcee4febdb3, 0x221f633c000a012, 0x41431fb55d4f4c8, 0x7f126132f4be5d5, 0x323da1f43c3a7e0, 0x373b24844474766, 0x6cc378a25584eb, 0x7ef66648aae4aca, 0x33003000031, 0xc0c03fb7c0f1fb, 0x174757777d10536, 0x2116210a52facb3, 0x5316fc100c1fb35, 0x7aae07597d161e1, 0x6752c4decfb6b7f, 0xf590fa78d56bf3, 0x1be67573275f157, 0xe3e0e9e0d61817, 0x25ac0012251ff6c, 0x407de1e40e3a849, 0x7a7264848fdf67e, 0x3bb8ba7d3879348, 0x498941f57060c6c, 0x5000000f0f501, 0x10fa8cfc1213ac0, 0x51a500f5501aab9, 0x73ef9049dcace64, 0x526a202f322f6e7, 0x2789a852500ca93, 0x4d1346684907509, 0x7d02bcfe4febdb2, 0x330a0329aba0521, 0x50a33c66415f5eb, 0x2e99dced402a73d, 0xf78f2f1a2dbcfe, 0x793a675db461a6a, 0x73848cd4c2f25d2, 0x54fa22d244aa9c6, 0xfae22e13e01501, 0x538ead296f222e5, 0x4da65592d2a750a, 0x40f91ebc14fcd2a, 0x5e73ff2f3c21c03, 0x4c72dce55551460, 0x3ffa59f8e5aef0a, 0x30057fa7b802f82, 0x36efe87d58aa6e4, 0x3bc96a196d71957, 0x5a82cfde2ad602f, 0x1f9bce94df9d3bf, 0x43c91d9b6bcabba, 0x2193c1833502ba3, 0xd28f516c1311d3d});
+constexpr StatTableTRI60 QRT_TABLE_TRI60({0x6983c00fe00104a, 0x804570322e054e6, 0x804570322e054e4, 0x15673387e0a4e4, 0x804570322e054e0, 0x100010110, 0x15673387e0a4ec, 0x920d01f34442a70, 0x804570322e054f0, 0x7a8dc0f2e4058f0, 0x100010130, 0x120c01f140462f0, 0x15673387e0a4ac, 0x7bdbb2ca9a4fe5c, 0x920d01f34442af0, 0xe9c6b039ce0c4ac, 0x804570322e055f0, 0xfac8b080ca20c00, 0x7a8dc0f2e405af0, 0x7a8dc4b2e4a59f0, 0x100010530, 0x10000100000, 0x120c01f14046af0, 0x131a02d91c5db6c, 0x15673387e0b4ac, 0x15623387d0b4ac, 0x7bdbb2ca9a4de5c, 0x7ffbbbca0a8ee5c, 0x920d01f34446af0, 0x800000020000000, 0xe9c6b039ce044ac, 0x81130302500f000, 0x804570322e155f0, 0x935b72eb3a48e9c, 0xfac8b080ca00c00, 0x120c016140563c0, 0x7a8dc0f2e445af0, 0x7bcbb3ca8a4ee5c, 0x7a8dc4b2e4259f0, 0xc4000a0300, 0x100110530, 0x11623285c1b19c, 0x10000300000, 0x420890090c3000, 0x120c01f14446af0, 0x68d7b33b9e0b4ac, 0x131a02d9145db6c, 0xe8ccb1e18a56fc0, 0x15673386e0b4ac, 0x7aadc8f2e485af0, 0x15623385d0b4ac, 0x4a0990093c3000, 0x7bdbb2cada4de5c, 0xf9d6b3389e0b4ac, 0x7ffbbbca8a8ee5c, 0xdf6ba38cec84ac, 0x920d01f24446af0, 0x520d01f24446af0, 0x800000000000000, 0});
+typedef FieldTri<uint64_t, 60, 1, StatTableTRI60, &SQR_TABLE_TRI60, &SQR2_TABLE_TRI60, &SQR4_TABLE_TRI60, &SQR8_TABLE_TRI60, &SQR16_TABLE_TRI60, &QRT_TABLE_TRI60, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri60;
+#endif
+
+#ifdef ENABLE_FIELD_INT_61
+// 61 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5> StatTable61;
+constexpr StatTable61 SQR_TABLE_61({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x4e, 0x138, 0x4e0, 0x1380, 0x4e00, 0x13800, 0x4e000, 0x138000, 0x4e0000, 0x1380000, 0x4e00000, 0x13800000, 0x4e000000, 0x138000000, 0x4e0000000, 0x1380000000, 0x4e00000000, 0x13800000000, 0x4e000000000, 0x138000000000, 0x4e0000000000, 0x1380000000000, 0x4e00000000000, 0x13800000000000, 0x4e000000000000, 0x138000000000000, 0x4e0000000000000, 0x1380000000000000, 0xe0000000000004e, 0x180000000000011f});
+constexpr StatTable61 SQR2_TABLE_61({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x1000000000000000, 0x138, 0x1380, 0x13800, 0x138000, 0x1380000, 0x13800000, 0x138000000, 0x1380000000, 0x13800000000, 0x138000000000, 0x1380000000000, 0x13800000000000, 0x138000000000000, 0x1380000000000000, 0x180000000000011f, 0x1054, 0x10540, 0x105400, 0x1054000, 0x10540000, 0x105400000, 0x1054000000, 0x10540000000, 0x105400000000, 0x1054000000000, 0x10540000000000, 0x105400000000000, 0x1054000000000000, 0x540000000000138, 0x14000000000013ce, 0x13d96, 0x13d960, 0x13d9600, 0x13d96000, 0x13d960000, 0x13d9600000, 0x13d96000000, 0x13d960000000, 0x13d9600000000, 0x13d96000000000, 0x13d960000000000, 0x13d9600000000000, 0x1d9600000000011f, 0x196000000000101a, 0x1600000000010004});
+constexpr StatTable61 SQR4_TABLE_61({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x138, 0x1380000, 0x13800000000, 0x138000000000000, 0x10540, 0x105400000, 0x1054000000000, 0x540000000000138, 0x13d9600, 0x13d96000000, 0x13d960000000000, 0x1600000000010004, 0x100111000, 0x1001110000000, 0x11100000000138, 0x10000000013812b8, 0x13812ab8000, 0x13812ab80000000, 0x12ab800000010540, 0x105514114, 0x1055141140000, 0x551411400000138, 0x1140000013d84f6, 0x13d84f72f60, 0x13d84f72f600000, 0x4f72f6000010004, 0xf6000010000010f, 0x1000001010100, 0x10101000138, 0x101010001380000, 0x100013800013938, 0x138000139393800, 0x1393938010540, 0x193938010540011f, 0x180105400104445f, 0x540010444454138, 0x1044445413d9600, 0x445413d96013cae, 0x13d96013caaab96, 0x16013caaab970004, 0x1caaab970011111f, 0xb9700111101100b, 0x11110110010028, 0x11011001002812b8, 0x1001002812aab938, 0x2812aab92b8138, 0x12aab92b81382ec0, 0x192b81382ed1400b, 0x1382ed140105514, 0xed1401055150567, 0x105515056890f6, 0x1515056890f613ce, 0x56890f613d84e58, 0x10f613d84e5db85c, 0x13d84e5db84f6010, 0xe5db84f6000000e, 0x184f600000010123});
+constexpr StatTable61 SQR8_TABLE_61({0x1, 0x100111000, 0x10101000138, 0x1001002812aab938, 0x1000001390478, 0x113916c2d28792b8, 0x1904457c4545aa5f, 0x13aa7f0f280c5e20, 0x1047900101540, 0x13be84504128808e, 0x839d72c6e39c0f1, 0x16a18bbeafc6bac6, 0x7290382d6ea1584, 0x1d7d80a66b181691, 0x19d2aaa6110c5d47, 0x1b613d85f602c96f, 0x3812870738, 0x113dbce704cbbd40, 0xd92856e5392f94b, 0x84f76c3d7c304a3, 0x1a519225fe5ce8cf, 0x1704aca0c7190b8e, 0xb7fb1620ed7d025, 0x12831368539314f6, 0x748fb7c048744be, 0x78cc8029440fcba, 0x10eb05b6015eb730, 0xfd3c38351ebc6bd, 0x1665bcfabbfbe624, 0x136549cb4738e1ec, 0x6db6139d4b707f2, 0x1000057853aeac78, 0x104401500109340, 0x554c25992c8f3d8, 0x192dd4b6c0886747, 0x219c35ac73165fc, 0xdf27daa47ee296b, 0x73ab415a10863d2, 0x1f06884b4f2dc1dd, 0xb56c8c3efd7847f, 0x7a6a82768a4a3f2, 0x8773791c3b9f69f, 0x1e4d128bbd8fa105, 0x16977fb4d8984d86, 0xb9a5106882f60bf, 0xc5102ee91822469, 0xdab44dc3cdf7a0b, 0x18d48e2841f63e4, 0x165b8e4d03de40d4, 0x11a7aec6ef42385a, 0x17064ddd9b5041ea, 0xf89b61f74d1f401, 0x18583a8c57e6cb7f, 0x607279105fda3be, 0x905e9c0d58240c7, 0x1ed3c0319519fa7d, 0xa3227b6d1cc17a1, 0xf6cb7bb2aa84563, 0xdda77eb9b649e97, 0x15480a00ec829caf, 0x62cb6da6128c272});
+constexpr StatTable61 SQR16_TABLE_61({0x1, 0x1c7cd18a3a216933, 0xd201ddad374eb4, 0xee4694049c47289, 0x40db9f51130a1e6, 0x134cab3c67ec43f4, 0x97823873a2fc00f, 0xc08b772e8161a43, 0x128159f3d3611eac, 0x1f002f36181d6c4, 0x9de899abbd8d18f, 0x1a6ecb093fbb558b, 0xa6a1251b5961643, 0x1b285c169fb6616d, 0x9c04f5fcf0a4ce5, 0xd050c0ab89025ad, 0xdab152bf63418d9, 0xad3e33af7686059, 0x1561180155ac0dc8, 0x1d9e862521ab7d29, 0xa21b06e1e7632b5, 0x29b84e35cfc95ac, 0x17a27c78dac90e2c, 0x1312fa5f7b1e4ea2, 0xfe66bf53de6a93d, 0x182041e17dde85e9, 0x1289eb06f1803a2e, 0x129449a509af818c, 0x1f308057c81ab449, 0x419981420870054, 0x19f853b859910eb1, 0x9b422c0e9d60871, 0x9e6aec92bfcfa99, 0x15a788f1748b8f44, 0x1fa9a9c171dd83a1, 0x14096af6c0840cc6, 0x1bbe256976515067, 0x14f853fd9e5c0002, 0xf6256b0235f7a8, 0x37e727448043cf6, 0xbb0f467dd137c3f, 0x2538d574ceec19e, 0x15ff26c652c82188, 0x1c22b1e2a9ed31f3, 0x1f56b4b705c21301, 0x1502df3e9aa51832, 0x89c3dec02a6a543, 0x15eac5a464a4f736, 0x1d5023636fc14fa7, 0x499c5d458f9699e, 0x355b147c1703428, 0x1864a11df3efee51, 0x9af0f612e9c1265, 0x9c613962a1c08d9, 0x1cee6fc68f73b3f7, 0x185720007e663719, 0x101dd90a4502bf06, 0x1569af254da87eb0, 0x1781376276013a90, 0x10d2bf3d5e191483, 0x6215713bdc7d250});
+constexpr StatTable61 QRT_TABLE_61({0x171d34fcdac955d0, 0x12cfc8c049e1c96, 0x12cfc8c049e1c94, 0x71d34fcdac955c2, 0x12cfc8c049e1c90, 0x631c871de564852, 0x71d34fcdac955ca, 0x129fa6407f27300, 0x12cfc8c049e1c80, 0x7094f6fdd0a3b12, 0x631c871de564872, 0xdb28cee59c8256a, 0x71d34fcdac9558a, 0xc8a0be15a915472, 0x129fa6407f27380, 0x12dfcb4058e0b80, 0x12cfc8c049e1d80, 0x117d7f04ad0118, 0x7094f6fdd0a3912, 0x621b576dbe35b6a, 0x631c871de564c72, 0x13c808a013a1ee0, 0xdb28cee59c82d6a, 0x113d79842a0272, 0x71d34fcdac9458a, 0x719776b580b6a98, 0xc8a0be15a917472, 0x6633498d6db760a, 0x129fa6407f23380, 0xbd4ae9e8c3e7560, 0x12dfcb4058e8b80, 0x8000000a, 0x12cfc8c049f1d80, 0x634ce9add3b26ea, 0x117d7f04af0118, 0xda3f19c5d66258a, 0x7094f6fdd0e3912, 0xb87427e85e71560, 0x621b576dbeb5b6a, 0xc8b0b085b8c4e0a, 0x631c871de464c72, 0x1538fc8649458a, 0x13c808a011a1ee0, 0xcddbca6d1cfe360, 0xdb28cee59882d6a, 0xae80f550d1ffff2, 0x113d7984aa0272, 0xda7770f5f195912, 0x71d34fcdbc9458a, 0x137c8a049a1ee0, 0x719776b5a0b6a98, 0xded39a9d236ba78, 0xc8a0be15e917472, 0x6732488ca7ce0a, 0x6633498dedb760a, 0xc0406d0527cb80a, 0x129fa6417f23380, 0x3d4ae9eac3e756a, 0xbd4ae9eac3e7560, 0, 0x12dfcb4458e8b80});
+typedef Field<uint64_t, 61, 39, StatTable61, &SQR_TABLE_61, &SQR2_TABLE_61, &SQR4_TABLE_61, &SQR8_TABLE_61, &SQR16_TABLE_61, &QRT_TABLE_61, IdTrans, &ID_TRANS, &ID_TRANS> Field61;
+#endif
+
+#ifdef ENABLE_FIELD_INT_62
+// 62 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5> StatTable62;
+constexpr StatTable62 SQR_TABLE_62({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x20000001, 0x80000004, 0x200000010, 0x800000040, 0x2000000100, 0x8000000400, 0x20000001000, 0x80000004000, 0x200000010000, 0x800000040000, 0x2000000100000, 0x8000000400000, 0x20000001000000, 0x80000004000000, 0x200000010000000, 0x800000040000000, 0x2000000100000000, 0x440000002, 0x1100000008, 0x4400000020, 0x11000000080, 0x44000000200, 0x110000000800, 0x440000002000, 0x1100000008000, 0x4400000020000, 0x11000000080000, 0x44000000200000, 0x110000000800000, 0x440000002000000, 0x1100000008000000});
+constexpr StatTable62 SQR2_TABLE_62({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x1000000000000000, 0x80000004, 0x800000040, 0x8000000400, 0x80000004000, 0x800000040000, 0x8000000400000, 0x80000004000000, 0x800000040000000, 0x440000002, 0x4400000020, 0x44000000200, 0x440000002000, 0x4400000020000, 0x44000000200000, 0x440000002000000, 0x400000000000001, 0x20000011, 0x200000110, 0x2000001100, 0x20000011000, 0x200000110000, 0x2000001100000, 0x20000011000000, 0x200000110000000, 0x2000001100000000, 0x11100000008, 0x111000000080, 0x1110000000800, 0x11100000008000, 0x111000000080000, 0x1110000000800000, 0x1100000088000004, 0x1000000800000044, 0x8080000444, 0x80800004440, 0x808000044400, 0x8080000444000, 0x80800004440000, 0x808000044400000, 0x80000404000002, 0x800004040000020, 0x40440000202, 0x404400002020, 0x4044000020200, 0x40440000202000, 0x404400002020000});
+constexpr StatTable62 SQR4_TABLE_62({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x80000004, 0x800000040000, 0x440000002, 0x4400000020000, 0x20000011, 0x200000110000, 0x2000001100000000, 0x11100000008000, 0x1000000800000044, 0x8080000444000, 0x800004040000020, 0x40440000202000, 0x400000000000101, 0x20001011000, 0x200010110000000, 0x101110000000800, 0x1100008088000404, 0x80808004044400, 0x80044404000202, 0x444044002020200, 0x440002002001110, 0x20002011101100, 0x20110011000080, 0x1100111000800080, 0x1110080000804400, 0x800080844004440, 0x808400044402000, 0x404400002021, 0x44000000210001, 0x300010110, 0x3000101100000, 0x101118000000c, 0x1118000800c0004, 0x8084c0040446, 0x84c00444460002, 0x4440460020213, 0x404600022130011, 0x2000201120111011, 0x2011301110118000, 0x3011001900008044, 0x1918080044c044, 0x1808004840440064, 0x484c4000646020, 0xc40004040200121, 0x40460001213100, 0x600010111000101, 0x101120001011800, 0x1200018198000404, 0x181910004044800, 0x110004c488000606, 0x4c4808006064400, 0x80046404001312, 0x464044013120200, 0x440112002001190, 0x1120002011901100, 0x20190011004480, 0x1900111044800080, 0x1110480000806400});
+constexpr StatTable62 SQR8_TABLE_62({0x1, 0x400000000000101, 0x44000000210001, 0x40460001213100, 0x404500002021, 0xe40014150200121, 0x80b400145512000, 0x1495c4000646820, 0x8000808c4004445, 0xd0800c8c8440561, 0x1045c80080ad6405, 0x1988b0805419944, 0x190110048480008e, 0x2891049dcc008662, 0x8ac190411026482, 0x241574511233a020, 0x1120002031901110, 0x3040203922110044, 0x1110792020b25580, 0x282a4830647355, 0x2c60001037102032, 0x26e4507065221080, 0x2036c57040579390, 0x3450409552c0cc02, 0x5c4000c66824017, 0x5508ce8e2845301, 0x4934eca8d59343, 0x1c28a918f7c9c0d1, 0xb080581194c8e4, 0x1018495dc440e46a, 0x1ac80985d8604226, 0xc7044545722023, 0x145120003031900, 0x4440003a0200005, 0x134447a19a002514, 0x510e645a31f1135, 0xae4834446175200, 0x264f451435730311, 0x7220c2004155891, 0x2153045891358c65, 0x154154800ca02904, 0x54dc0c88ce92565, 0xdc54bc04d28bc20, 0x8c54b0401283d8b, 0x29088e8109411f28, 0x12d0dc41982620a, 0xc0030c89a712640, 0x1dc8192422907592, 0x145554681022a075, 0x470792013225580, 0x346c6a7130667300, 0x39147d7004b077b2, 0x6c83e2d354461c6, 0xcf6d0046247a030, 0x3221c0f063a45c80, 0x303645fc20539787, 0x21004cf150409b10, 0x1dd380444d78042, 0x1c709df8b7145381, 0x185834a4e8d51327, 0x1420e118b389a4d1, 0xf0c41811b4e8c4});
+constexpr StatTable62 SQR16_TABLE_62({0x1, 0x147095f0731417c5, 0x3189fad107702e11, 0x3d3937fd86a460ab, 0x3ff26c959b47c587, 0x1e2ecbec4bf22bd6, 0x168ebaeceaf71b82, 0x216d6c4471f75c10, 0x1f6d31ccabfaee58, 0x1652ef2066ec0c61, 0x3d62ef6847f808fc, 0x26a33c99ec1b43d4, 0x32f26e79367c91ed, 0x361dcdd0d1e73240, 0xe2d494d081269e2, 0x33d231b9098b6045, 0x3c4e93c22fb78a3, 0x2f655fa56e578df3, 0x3a2b9600532c2609, 0x864e125951bbdb7, 0x2e2fca705bb62c58, 0x28e0629106401eaa, 0x7ac20f0ed6cdc1f, 0x3bd50add28a35850, 0x1a6e5ea19a59ab5d, 0x2add6d1d8c0aaefb, 0x2c3cf9842e6956a3, 0x1906944685f2c7c, 0x925997c95ed1de2, 0xcb9eb5d43c6f2e9, 0x1795f2b48a0fa71d, 0x19de5de41acc2100, 0x2e30c3a8444ef165, 0x29433812a3c4b1cd, 0xcbfa65dcdae6d63, 0x2580f2100e56c068, 0x25ce14544acc08cb, 0x24fa7059a7c87e18, 0x2a01d608b5d57d70, 0x3cefa2f54bdabc51, 0x29225fd40de84dea, 0x2d2276d8df087f20, 0x1a077580d9c5e840, 0x33b71879319b7de1, 0x16017e84617bddf4, 0x2596d6b0bd1a954c, 0x10267caddadbf666, 0x22c43bd90eaa3e05, 0xcaf6704a39c29fc, 0x25a0b38132106551, 0x1a78d1fcfd98f2a2, 0x1924d0b08fe1cc34, 0x3ea0a05c4cb14ee5, 0xa9b505540022072, 0x1e65cd1d5556d710, 0x3682cccd684103f1, 0x20a58fb864d70967, 0x35bfeeacb88f9b9b, 0x3b72dce9c4b09b87, 0x839908c285aaa64, 0x2ed676dc722e9732, 0x3dd67b08dc071450});
+constexpr StatTable62 QRT_TABLE_62({0x30268b6fba455d2c, 0x200000006, 0x200000004, 0x3d67cb6c1fe66c76, 0x200000000, 0x3fc4f1901abfa400, 0x3d67cb6c1fe66c7e, 0x35e79b6c0a66bcbe, 0x200000010, 0x1e9372bc57a9941e, 0x3fc4f1901abfa420, 0x21ec9d424957a5b0, 0x3d67cb6c1fe66c3e, 0x1cb35a6e52f5fb0e, 0x35e79b6c0a66bc3e, 0x215481024c13a730, 0x200000110, 0x1c324a6c52f75b08, 0x1e9372bc57a9961e, 0x3764a9d00f676820, 0x3fc4f1901abfa020, 0x355481020e132730, 0x21ec9d424957adb0, 0x3c43c32c0f34301e, 0x3d67cb6c1fe67c3e, 0x1496122c45259728, 0x1cb35a6e52f5db0e, 0x15e418405b72ec20, 0x35e79b6c0a66fc3e, 0x30268b6e3a445c38, 0x215481024c132730, 0x100010114, 0x200010110, 0, 0x1c324a6c52f55b08, 0x215581044d133776, 0x1e9372bc57ad961e, 0x2155810e4d133766, 0x3764a9d00f6f6820, 0x2157833c4d12323e, 0x3fc4f1901aafa020, 0x1c324a4252f55b58, 0x355481020e332730, 0x28332fc0509d41e, 0x21ec9d424917adb0, 0x215783be4d12332e, 0x3c43c32c0fb4301e, 0x2157822c4d06363e, 0x3d67cb6c1ee67c3e, 0x23f6b9d2484afb78, 0x1496122c47259728, 0x14b8184047648a80, 0x1cb35a6e56f5db0e, 0x3fe4f1901aefa820, 0x15e418405372ec20, 0x3d5fd72c1be276be, 0x35e79b6c1a66fc3e, 0x14b038d24774cf10, 0x30268b6e1a445c38, 0x1d17022e43a7172e, 0x215481020c132730, 0x2157022e4d07372e});
+typedef Field<uint64_t, 62, 536870913, StatTable62, &SQR_TABLE_62, &SQR2_TABLE_62, &SQR4_TABLE_62, &SQR8_TABLE_62, &SQR16_TABLE_62, &QRT_TABLE_62, IdTrans, &ID_TRANS, &ID_TRANS> Field62;
+typedef FieldTri<uint64_t, 62, 29, RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5>, &SQR_TABLE_62, &SQR2_TABLE_62, &SQR4_TABLE_62, &SQR8_TABLE_62, &SQR16_TABLE_62, &QRT_TABLE_62, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri62;
+#endif
+
+#ifdef ENABLE_FIELD_INT_63
+// 63 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5> StatTableTRI63;
+constexpr StatTableTRI63 SQR_TABLE_TRI63({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x4000000000000000, 0x6, 0x18, 0x60, 0x180, 0x600, 0x1800, 0x6000, 0x18000, 0x60000, 0x180000, 0x600000, 0x1800000, 0x6000000, 0x18000000, 0x60000000, 0x180000000, 0x600000000, 0x1800000000, 0x6000000000, 0x18000000000, 0x60000000000, 0x180000000000, 0x600000000000, 0x1800000000000, 0x6000000000000, 0x18000000000000, 0x60000000000000, 0x180000000000000, 0x600000000000000, 0x1800000000000000, 0x6000000000000000});
+constexpr StatTableTRI63 SQR2_TABLE_TRI63({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x1000000000000000, 0x6, 0x60, 0x600, 0x6000, 0x60000, 0x600000, 0x6000000, 0x60000000, 0x600000000, 0x6000000000, 0x60000000000, 0x600000000000, 0x6000000000000, 0x60000000000000, 0x600000000000000, 0x6000000000000000, 0x14, 0x140, 0x1400, 0x14000, 0x140000, 0x1400000, 0x14000000, 0x140000000, 0x1400000000, 0x14000000000, 0x140000000000, 0x1400000000000, 0x14000000000000, 0x140000000000000, 0x1400000000000000, 0x4000000000000006, 0x78, 0x780, 0x7800, 0x78000, 0x780000, 0x7800000, 0x78000000, 0x780000000, 0x7800000000, 0x78000000000, 0x780000000000, 0x7800000000000, 0x78000000000000, 0x780000000000000, 0x7800000000000000});
+constexpr StatTableTRI63 SQR4_TABLE_TRI63({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x6, 0x60000, 0x600000000, 0x6000000000000, 0x14, 0x140000, 0x1400000000, 0x14000000000000, 0x78, 0x780000, 0x7800000000, 0x78000000000000, 0x110, 0x1100000, 0x11000000000, 0x110000000000000, 0x660, 0x6600000, 0x66000000000, 0x660000000000000, 0x1540, 0x15400000, 0x154000000000, 0x1540000000000000, 0x7f80, 0x7f800000, 0x7f8000000000, 0x7f80000000000000, 0x10100, 0x101000000, 0x1010000000000, 0x100000000000006, 0x60600, 0x606000000, 0x6060000000000, 0x600000000000014, 0x141400, 0x1414000000, 0x14140000000000, 0x1400000000000078, 0x787800, 0x7878000000, 0x78780000000000, 0x7800000000000110, 0x1111000, 0x11110000000, 0x111100000000000, 0x1000000000000666, 0x6666000, 0x66660000000, 0x666600000000000, 0x6000000000001554, 0x15554000, 0x155540000000, 0x1555400000000000, 0x4000000000007ffe, 0x7fff8000, 0x7fff80000000, 0x7fff800000000000});
+constexpr StatTableTRI63 SQR8_TABLE_TRI63({0x1, 0x110, 0x10100, 0x1111000, 0x100010000, 0x11001100000, 0x1010101000000, 0x111111110000000, 0x100000006, 0x11000000660, 0x1010000060600, 0x111100006666000, 0x1000600060006, 0x110066006600660, 0x106060606060606, 0x1666666666666666, 0x12, 0x1320, 0x121200, 0x13332000, 0x1200120000, 0x132013200000, 0x12121212000000, 0x1333333320000000, 0x120000006c, 0x132000006ac0, 0x121200006c6c00, 0x133320006aaac000, 0x12006c006c006c, 0x13206ac06ac06ac0, 0x126c6c6c6c6c6c6c, 0x4aaaaaaaaaaaaaaa, 0x104, 0x11440, 0x1050400, 0x115544000, 0x10401040000, 0x1144114400000, 0x105050504000000, 0x1555555440000006, 0x10400000618, 0x1144000067980, 0x1050400061e1800, 0x155440067ff98006, 0x104061806180618, 0x1446798679867986, 0x21e1e1e1e1e1e1e, 0x3fffffffffffffec, 0x1248, 0x136c80, 0x125a4800, 0x137fec8000, 0x124812480000, 0x136c936c800000, 0x125a5a5a48000000, 0x7fffffec8000006a, 0x124800006db0, 0x136c80006b6b00, 0x125a48006dddb000, 0x7fec806b006b006a, 0x12486db06db06db0, 0x6ceb6b6b6b6b6b6a, 0x25dddddddddddddc});
+constexpr StatTableTRI63 SQR16_TABLE_TRI63({0x1, 0x10006, 0x100000014, 0x1000600140078, 0x116, 0x1160674, 0x11600001538, 0x116067415387e90, 0x10114, 0x101120678, 0x1011400141510, 0x112066c15687e66, 0x1170338, 0x117054a0a90, 0x1170338152c3f60, 0x54a1fbc41888532, 0x100010110, 0x1000701160660, 0x1010400141546, 0x102060c153e7f92, 0x11601170760, 0x116076301121340, 0x1171258152c6df4, 0x142a78fc131d6a4a, 0x1011500050540, 0x113067b055e1f86, 0x1110440042477e, 0x102261da46f39362, 0x117022e054b0b80, 0x45c09af143a3f72, 0x106721d847ee9ae4, 0x408a833f0a833f0a, 0x100010106, 0x1000701000614, 0x101120014147e, 0x114067814067902, 0x11601171074, 0x116076316066138, 0x117054c152d40e4, 0x33e0a853e0b842a, 0x1011500131278, 0x113066d12126d16, 0x7077c017b681e, 0x76e12736f057056, 0x117022e12493290, 0x45c1ead5f26a912, 0x76518c96bc5efa4, 0xb97397297387286, 0x1700171666, 0x17006516147554, 0x17174a012d3f8a, 0x173872913964814e, 0x160216157534, 0x16026219014b3eb8, 0x16144d1d3902f39c, 0x3964974c65925d30, 0x17163b005d59f8, 0x164974c75837d462, 0x17062a404d28cfa, 0x65854b0a96152d3c, 0x16152c2a5943b390, 0x5854b1be6419dd1e, 0x6045c19c854b1fba});
+constexpr StatTableTRI63 QRT_TABLE_TRI63({0, 0x100010114, 0x100010116, 0x1001701051372, 0x100010112, 0x1000040220, 0x100170105137a, 0x5107703453bba, 0x100010102, 0x101130117155a, 0x1000040200, 0x40000200800, 0x100170105133a, 0x103151a137276d8, 0x5107703453b3a, 0x134e65fc7c222be0, 0x100010002, 0x100030103115a, 0x101130117175a, 0x106052d103f4de2, 0x1000040600, 0x15122707691d3a, 0x40000200000, 0x4530770bc57b3a, 0x100170105033a, 0x103011a131256d8, 0x103151a137256d8, 0x176f29eb55c7a8da, 0x5107703457b3a, 0x130b158b7767d0da, 0x134e65fc7c22abe0, 0x7bcaf59d2f62d3e2, 0x100000002, 0x1001401041260, 0x100030101115a, 0x5107e03443ab8, 0x101130113175a, 0x1043701251b3a, 0x106052d10374de2, 0x134e657d7c232be2, 0x1000140600, 0x106073d103b4be2, 0x15122707491d3a, 0x4438600ac07800, 0x40000600000, 0x176a199c5682d3e0, 0x4530770b457b3a, 0x7bca759c2f62d3e0, 0x100170005033a, 0x6116d02572de2, 0x103011a111256d8, 0x1346656d7c372de2, 0x103151a177256d8, 0x643c600aa07800, 0x176f29eb5dc7a8da, 0x7b4b758b2f67d0da, 0x5107713457b3a, 0x104570776b457b3a, 0x130b158b5767d0da, 0x734e65fc3c22abe0, 0x134e65fc3c22abe0, 0x4000000000000000, 0x7bcaf59daf62d3e2});
+typedef FieldTri<uint64_t, 63, 1, StatTableTRI63, &SQR_TABLE_TRI63, &SQR2_TABLE_TRI63, &SQR4_TABLE_TRI63, &SQR8_TABLE_TRI63, &SQR16_TABLE_TRI63, &QRT_TABLE_TRI63, IdTrans, &ID_TRANS, &ID_TRANS> FieldTri63;
+#endif
+
+#ifdef ENABLE_FIELD_INT_64
+// 64 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5> StatTable64;
+constexpr StatTable64 SQR_TABLE_64({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x4000000000000000, 0x1b, 0x6c, 0x1b0, 0x6c0, 0x1b00, 0x6c00, 0x1b000, 0x6c000, 0x1b0000, 0x6c0000, 0x1b00000, 0x6c00000, 0x1b000000, 0x6c000000, 0x1b0000000, 0x6c0000000, 0x1b00000000, 0x6c00000000, 0x1b000000000, 0x6c000000000, 0x1b0000000000, 0x6c0000000000, 0x1b00000000000, 0x6c00000000000, 0x1b000000000000, 0x6c000000000000, 0x1b0000000000000, 0x6c0000000000000, 0x1b00000000000000, 0x6c00000000000000, 0xb00000000000001b, 0xc00000000000005a});
+constexpr StatTable64 SQR2_TABLE_64({0x1, 0x10, 0x100, 0x1000, 0x10000, 0x100000, 0x1000000, 0x10000000, 0x100000000, 0x1000000000, 0x10000000000, 0x100000000000, 0x1000000000000, 0x10000000000000, 0x100000000000000, 0x1000000000000000, 0x1b, 0x1b0, 0x1b00, 0x1b000, 0x1b0000, 0x1b00000, 0x1b000000, 0x1b0000000, 0x1b00000000, 0x1b000000000, 0x1b0000000000, 0x1b00000000000, 0x1b000000000000, 0x1b0000000000000, 0x1b00000000000000, 0xb00000000000001b, 0x145, 0x1450, 0x14500, 0x145000, 0x1450000, 0x14500000, 0x145000000, 0x1450000000, 0x14500000000, 0x145000000000, 0x1450000000000, 0x14500000000000, 0x145000000000000, 0x1450000000000000, 0x450000000000001b, 0x50000000000001dc, 0x1db7, 0x1db70, 0x1db700, 0x1db7000, 0x1db70000, 0x1db700000, 0x1db7000000, 0x1db70000000, 0x1db700000000, 0x1db7000000000, 0x1db70000000000, 0x1db700000000000, 0x1db7000000000000, 0xdb7000000000001b, 0xb70000000000011f, 0x7000000000001105});
+constexpr StatTable64 SQR4_TABLE_64({0x1, 0x10000, 0x100000000, 0x1000000000000, 0x1b, 0x1b0000, 0x1b00000000, 0x1b000000000000, 0x145, 0x1450000, 0x14500000000, 0x145000000000000, 0x1db7, 0x1db70000, 0x1db700000000, 0x1db7000000000000, 0x11011, 0x110110000, 0x1101100000000, 0x101100000000001b, 0x1ab1ab, 0x1ab1ab0000, 0x1ab1ab00000000, 0xb1ab00000000015e, 0x1514515, 0x15145150000, 0x151451500000000, 0x4515000000001c6b, 0x1c6db6c7, 0x1c6db6c70000, 0x1c6db6c700000000, 0xb6c700000001010f, 0x101000101, 0x1010001010000, 0x10001010000001b, 0x1010000001b1b00, 0x1b1b001b1b, 0x1b1b001b1b0000, 0x1b001b1b00000145, 0x1b1b000001444500, 0x14445014445, 0x144450144450000, 0x4501444500001dac, 0x444500001daab71b, 0x1daab71daab7, 0x1daab71daab70000, 0xb71daab70001110e, 0xaab700011101101f, 0x1110110110111, 0x110110110111001b, 0x10110111001aab1b, 0x111001aab1ab1ab, 0x1aab1ab1ab1aab, 0xab1ab1ab1aab015e, 0xb1ab1aab0150145e, 0x1aab015014514515, 0x150145145145015, 0x1451451450151c70, 0x451450151c71db6b, 0x50151c71db6db6dc, 0x1c71db6db6db71c7, 0xdb6db6db71c6000b, 0xb6db71c60001000f, 0x71c6000100000005});
+constexpr StatTable64 SQR8_TABLE_64({0x1, 0x11011, 0x101000101, 0x1110110110111, 0x100000001001a, 0x10110001100aa1a1, 0x100011a1b1a011a, 0x100baa100bb1aa0a, 0x1a00000144, 0x1ba1ba01505504, 0x1a001b5f4401441a, 0xa0eb1eea544fee41, 0x15e0144001a1ce8, 0xf5ee551fbc9d4f5d, 0x1b4543b0eee81b44, 0xb89a98b89a98b894, 0x10dbc, 0x11d76167c, 0x10cb1bd0cb1bc, 0x1c6b617617606a67, 0xdbc00010da6ad43, 0x167d1d6d105be392, 0xbd170ae2484f0af7, 0x162bc80d36e8d468, 0x1aad58014ae5f0, 0x63df9865e4bbbb5, 0x43fc5a4cbafe0d17, 0xe3d18fd6f8de2666, 0x49e2e5eab134a710, 0x1c78a1664f19bdd8, 0xf0829cea9886f08a, 0x4d8f634d8f625cdd, 0x100514550, 0x1104554401050, 0x15115140114154b, 0x10050551444aec57, 0x4551004b4277f24b, 0xef2afe861bdfb, 0x1d64ceb6c85ed2c9, 0x4975810172576524, 0x73cf4644451101e, 0x4fd1b234005fb6a7, 0x1bddd12e486f9a6f, 0xaa3c6f23ad5e9724, 0xa02b0a9206ef4923, 0x18a08533d5a4e65e, 0x1fc83ef027d0132b, 0x5e54f45f48c9a13c, 0x10deeff7bf8c0, 0x1d21c38d4f8874db, 0x10886029449884cd, 0xfe25b26c0190be86, 0xf5345525adfcb67e, 0xb606f05c0f274ae6, 0x49303a49c3147e89, 0xe3dec1f0cb3467b8, 0xf3dd197b59b91bb7, 0x6e062ec482dfc7e, 0xc24c087e94b8c9c, 0x42e75f2649a63926, 0x4646807e89775aa9, 0xca57e67631079503, 0xf738d302cd26e621, 0xda8702da9702da9d});
+constexpr StatTable64 SQR16_TABLE_64({0x1, 0x15f0144001a114f, 0x1aad43011ba1e5, 0xe34916e80106e21d, 0x11cefef6be466, 0xab943b855d3d776b, 0x1c77b6cf4edf1bd0, 0x46923ddea5ce4e34, 0x5455145e48670f13, 0xfb7d34d8e2b804bb, 0xbbe0dfe164a4d5b4, 0x431d528b1f73a8a2, 0xc259794b79e2607, 0x5945c54c76a8d132, 0xf5cb8b3860386917, 0xb345180ffd7a5551, 0xbaf1bebe1ae4ad02, 0x45562dad588c6260, 0x55b2852b76a728c4, 0xb5908b73d457d739, 0xa5a058173d115951, 0x11e605f10dd49e16, 0xb122096fef2a82a8, 0xfb95933559736ac7, 0x42652cf9ded5daa5, 0xe9a56590d5ab5301, 0xb8cef5ec20abb26f, 0xb50edcd1421d92e0, 0x12ac73f1d2f67094, 0x1c5815d4c184bd2, 0xe227a4ef0cd1165c, 0xe8d4a3a319b07491, 0xb0ef530df44bb042, 0xfbcbf52ff08d7ea3, 0xa0eaea8c7f69bf70, 0xedc22185164a14b1, 0xbfb9f37fc5eb3abc, 0x3712083e323193a, 0xe7bdca1397a3c26c, 0xf2d44dcbd1d02306, 0xa8fcad00bc810b9c, 0x4f7014f9d2186ea, 0x1b4d4ccc40f8060f, 0xe9ecf1e0105dab78, 0xe34e682846de9f1d, 0xace6cd21bf5ef658, 0x10f0cfa8cf3326ff, 0x71a97b1c73b8a63, 0xe1398cba3a3345d1, 0xa439e4c62ecb0615, 0x4bcce9efcca8db40, 0x176e95394759914e, 0xb5c7335e43a80f7f, 0xeb5439d8e177d64d, 0xa6af064a2d733f41, 0x5efc52c7e2f99007, 0x4a6efe65d270460b, 0xfe0ff44f5baa9a6a, 0x104c70edd05ffd6f, 0xf07d029f554aa763, 0x1c3c3cc0aca30a16, 0x7a0a5f6c85237d50, 0x1b862fb6b961ed37, 0xdcd1bd32f8a7d3ba});
+constexpr StatTable64 QRT_TABLE_64({0x19c9369f278adc02, 0x84b2b22ab2383ee4, 0x84b2b22ab2383ee6, 0x9d7b84b495b3e3f6, 0x84b2b22ab2383ee2, 0x37c470b49213f790, 0x9d7b84b495b3e3fe, 0x1000a0105137c, 0x84b2b22ab2383ef2, 0x368e964a8edce1fc, 0x37c470b49213f7b0, 0x19c9368e278fdf4c, 0x9d7b84b495b3e3be, 0x2e4da23cbc7d4570, 0x1000a010513fc, 0x84f35772bac24232, 0x84b2b22ab2383ff2, 0x37c570ba9314e4fc, 0x368e964a8edce3fc, 0xb377c390213cdb0e, 0x37c470b49213f3b0, 0x85ed5a3aa99c24f2, 0x19c9368e278fd74c, 0xaabff0000780000e, 0x9d7b84b495b3f3be, 0x84b6b3dab03038f2, 0x2e4da23cbc7d6570, 0x511ea03494ffc, 0x1000a010553fc, 0xae0c0220343c6c0e, 0x84f35772bac2c232, 0x800000008000000e, 0x84b2b22ab2393ff2, 0xb376c29c202bc97e, 0x37c570ba9316e4fc, 0x9c3062488879e6ce, 0x368e964a8ed8e3fc, 0x41e42c08e47e70, 0xb377c3902134db0e, 0x85b9b108a60f56ce, 0x37c470b49203f3b0, 0x19dd3b6e21f3cb4c, 0x85ed5a3aa9bc24f2, 0x198ddf682c428ac0, 0x19c9368e27cfd74c, 0x4b7c68431ca84b0, 0xaabff0000700000e, 0x8040655489ffefbe, 0x9d7b84b494b3f3be, 0x18c1354e32bfa74c, 0x84b6b3dab23038f2, 0xaaf613cc0f74627e, 0x2e4da23cb87d6570, 0x3248b3d6b3342a8c, 0x511ea0b494ffc, 0xb60813c00e70700e, 0x1000a110553fc, 0x1e0d022a05393ffc, 0xae0c0220143c6c0e, 0xe0c0220143c6c00, 0x84f35772fac2c232, 0xc041e55948fbfdce, 0x800000000000000e, 0});
+typedef Field<uint64_t, 64, 27, StatTable64, &SQR_TABLE_64, &SQR2_TABLE_64, &SQR4_TABLE_64, &SQR8_TABLE_64, &SQR16_TABLE_64, &QRT_TABLE_64, IdTrans, &ID_TRANS, &ID_TRANS> Field64;
+#endif
+}
+
+Sketch* ConstructClMul8Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_57
+ case 57: return new SketchImpl<Field57>(implementation, 57);
+#endif
+#ifdef ENABLE_FIELD_INT_58
+ case 58: return new SketchImpl<Field58>(implementation, 58);
+#endif
+#ifdef ENABLE_FIELD_INT_59
+ case 59: return new SketchImpl<Field59>(implementation, 59);
+#endif
+#ifdef ENABLE_FIELD_INT_61
+ case 61: return new SketchImpl<Field61>(implementation, 61);
+#endif
+#ifdef ENABLE_FIELD_INT_62
+ case 62: return new SketchImpl<Field62>(implementation, 62);
+#endif
+#ifdef ENABLE_FIELD_INT_64
+ case 64: return new SketchImpl<Field64>(implementation, 64);
+#endif
+ }
+ return nullptr;
+}
+
+Sketch* ConstructClMulTri8Bytes(int bits, int implementation) {
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_57
+ case 57: return new SketchImpl<FieldTri57>(implementation, 57);
+#endif
+#ifdef ENABLE_FIELD_INT_58
+ case 58: return new SketchImpl<FieldTri58>(implementation, 58);
+#endif
+#ifdef ENABLE_FIELD_INT_60
+ case 60: return new SketchImpl<FieldTri60>(implementation, 60);
+#endif
+#ifdef ENABLE_FIELD_INT_62
+ case 62: return new SketchImpl<FieldTri62>(implementation, 62);
+#endif
+#ifdef ENABLE_FIELD_INT_63
+ case 63: return new SketchImpl<FieldTri63>(implementation, 63);
+#endif
+ }
+ return nullptr;
+}
diff --git a/src/minisketch/src/fields/clmul_common_impl.h b/src/minisketch/src/fields/clmul_common_impl.h
new file mode 100644
index 0000000000..3d179a1081
--- /dev/null
+++ b/src/minisketch/src/fields/clmul_common_impl.h
@@ -0,0 +1,170 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_FIELDS_CLMUL_COMMON_IMPL_H_
+#define _MINISKETCH_FIELDS_CLMUL_COMMON_IMPL_H_ 1
+
+#include <stdint.h>
+#include <immintrin.h>
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+
+namespace {
+
+// The memory sanitizer in clang < 11 cannot reason through _mm_clmulepi64_si128 calls.
+// Disable memory sanitization in the functions using them for those compilers.
+#if defined(__clang__) && (__clang_major__ < 11)
+# if defined(__has_feature)
+# if __has_feature(memory_sanitizer)
+# define NO_SANITIZE_MEMORY __attribute__((no_sanitize("memory")))
+# endif
+# endif
+#endif
+#ifndef NO_SANITIZE_MEMORY
+# define NO_SANITIZE_MEMORY
+#endif
+
+template<typename I, int BITS, I MOD> NO_SANITIZE_MEMORY I MulWithClMulReduce(I a, I b)
+{
+ static constexpr I MASK = Mask<BITS, I>();
+
+ const __m128i MOD128 = _mm_cvtsi64_si128(MOD);
+ __m128i product = _mm_clmulepi64_si128(_mm_cvtsi64_si128((uint64_t)a), _mm_cvtsi64_si128((uint64_t)b), 0x00);
+ if (BITS <= 32) {
+ __m128i high1 = _mm_srli_epi64(product, BITS);
+ __m128i red1 = _mm_clmulepi64_si128(high1, MOD128, 0x00);
+ __m128i high2 = _mm_srli_epi64(red1, BITS);
+ __m128i red2 = _mm_clmulepi64_si128(high2, MOD128, 0x00);
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2)) & MASK;
+ } else if (BITS == 64) {
+ __m128i red1 = _mm_clmulepi64_si128(product, MOD128, 0x01);
+ __m128i red2 = _mm_clmulepi64_si128(red1, MOD128, 0x01);
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2));
+ } else if ((BITS % 8) == 0) {
+ __m128i high1 = _mm_srli_si128(product, BITS / 8);
+ __m128i red1 = _mm_clmulepi64_si128(high1, MOD128, 0x00);
+ __m128i high2 = _mm_srli_si128(red1, BITS / 8);
+ __m128i red2 = _mm_clmulepi64_si128(high2, MOD128, 0x00);
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2)) & MASK;
+ } else {
+ __m128i high1 = _mm_or_si128(_mm_srli_epi64(product, BITS), _mm_srli_si128(_mm_slli_epi64(product, 64 - BITS), 8));
+ __m128i red1 = _mm_clmulepi64_si128(high1, MOD128, 0x00);
+ if ((uint64_t(MOD) >> (66 - BITS)) == 0) {
+ __m128i high2 = _mm_srli_epi64(red1, BITS);
+ __m128i red2 = _mm_clmulepi64_si128(high2, MOD128, 0x00);
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2)) & MASK;
+ } else {
+ __m128i high2 = _mm_or_si128(_mm_srli_epi64(red1, BITS), _mm_srli_si128(_mm_slli_epi64(red1, 64 - BITS), 8));
+ __m128i red2 = _mm_clmulepi64_si128(high2, MOD128, 0x00);
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2)) & MASK;
+ }
+ }
+}
+
+template<typename I, int BITS, int POS> NO_SANITIZE_MEMORY I MulTrinomial(I a, I b)
+{
+ static constexpr I MASK = Mask<BITS, I>();
+
+ __m128i product = _mm_clmulepi64_si128(_mm_cvtsi64_si128((uint64_t)a), _mm_cvtsi64_si128((uint64_t)b), 0x00);
+ if (BITS <= 32) {
+ __m128i high1 = _mm_srli_epi64(product, BITS);
+ __m128i red1 = _mm_xor_si128(high1, _mm_slli_epi64(high1, POS));
+ if (POS == 1) {
+ return _mm_cvtsi128_si64(_mm_xor_si128(product, red1)) & MASK;
+ } else {
+ __m128i high2 = _mm_srli_epi64(red1, BITS);
+ __m128i red2 = _mm_xor_si128(high2, _mm_slli_epi64(high2, POS));
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2)) & MASK;
+ }
+ } else {
+ __m128i high1 = _mm_or_si128(_mm_srli_epi64(product, BITS), _mm_srli_si128(_mm_slli_epi64(product, 64 - BITS), 8));
+ if (BITS + POS <= 66) {
+ __m128i red1 = _mm_xor_si128(high1, _mm_slli_epi64(high1, POS));
+ if (POS == 1) {
+ return _mm_cvtsi128_si64(_mm_xor_si128(product, red1)) & MASK;
+ } else if (BITS + POS <= 66) {
+ __m128i high2 = _mm_srli_epi64(red1, BITS);
+ __m128i red2 = _mm_xor_si128(high2, _mm_slli_epi64(high2, POS));
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2)) & MASK;
+ }
+ } else {
+ const __m128i MOD128 = _mm_cvtsi64_si128(1 + (((uint64_t)1) << POS));
+ __m128i red1 = _mm_clmulepi64_si128(high1, MOD128, 0x00);
+ __m128i high2 = _mm_or_si128(_mm_srli_epi64(red1, BITS), _mm_srli_si128(_mm_slli_epi64(red1, 64 - BITS), 8));
+ __m128i red2 = _mm_xor_si128(high2, _mm_slli_epi64(high2, POS));
+ return _mm_cvtsi128_si64(_mm_xor_si128(_mm_xor_si128(product, red1), red2)) & MASK;
+ }
+ }
+}
+
+/** Implementation of fields that use the SSE clmul intrinsic for multiplication. */
+template<typename I, int B, I MOD, I (*MUL)(I, I), typename F, const F* SQR, const F* SQR2, const F* SQR4, const F* SQR8, const F* SQR16, const F* QRT, typename T, const T* LOAD, const T* SAVE> struct GenField
+{
+ typedef BitsInt<I, B> O;
+ typedef LFSR<O, MOD> L;
+
+ static inline constexpr I Sqr1(I a) { return SQR->template Map<O>(a); }
+ static inline constexpr I Sqr2(I a) { return SQR2->template Map<O>(a); }
+ static inline constexpr I Sqr4(I a) { return SQR4->template Map<O>(a); }
+ static inline constexpr I Sqr8(I a) { return SQR8->template Map<O>(a); }
+ static inline constexpr I Sqr16(I a) { return SQR16->template Map<O>(a); }
+
+public:
+ typedef I Elem;
+
+ inline constexpr int Bits() const { return B; }
+
+ inline constexpr Elem Mul2(Elem val) const { return L::Call(val); }
+
+ inline Elem Mul(Elem a, Elem b) const { return MUL(a, b); }
+
+ class Multiplier
+ {
+ Elem m_val;
+ public:
+ inline constexpr explicit Multiplier(const GenField&, Elem a) : m_val(a) {}
+ constexpr Elem operator()(Elem a) const { return MUL(m_val, a); }
+ };
+
+ /** Compute the square of a. */
+ inline constexpr Elem Sqr(Elem val) const { return SQR->template Map<O>(val); }
+
+ /** Compute x such that x^2 + x = a (undefined result if no solution exists). */
+ inline constexpr Elem Qrt(Elem val) const { return QRT->template Map<O>(val); }
+
+ /** Compute the inverse of x1. */
+ inline Elem Inv(Elem val) const { return InvLadder<I, O, B, MUL, Sqr1, Sqr2, Sqr4, Sqr8, Sqr16>(val); }
+
+ /** Generate a random field element. */
+ Elem FromSeed(uint64_t seed) const {
+ uint64_t k0 = 0x434c4d554c466c64ull; // "CLMULFld"
+ uint64_t k1 = seed;
+ uint64_t count = ((uint64_t)B) << 32;
+ I ret;
+ do {
+ ret = O::Mask(I(SipHash(k0, k1, count++)));
+ } while(ret == 0);
+ return LOAD->template Map<O>(ret);
+ }
+
+ Elem Deserialize(BitReader& in) const { return LOAD->template Map<O>(in.Read<B, I>()); }
+
+ void Serialize(BitWriter& out, Elem val) const { out.Write<B, I>(SAVE->template Map<O>(val)); }
+
+ constexpr Elem FromUint64(uint64_t x) const { return LOAD->template Map<O>(O::Mask(I(x))); }
+ constexpr uint64_t ToUint64(Elem val) const { return uint64_t(SAVE->template Map<O>(val)); }
+};
+
+template<typename I, int B, I MOD, typename F, const F* SQR, const F* SQR2, const F* SQR4, const F* SQR8, const F* SQR16, const F* QRT, typename T, const T* LOAD, const T* SAVE>
+using Field = GenField<I, B, MOD, MulWithClMulReduce<I, B, MOD>, F, SQR, SQR2, SQR4, SQR8, SQR16, QRT, T, LOAD, SAVE>;
+
+template<typename I, int B, int POS, typename F, const F* SQR, const F* SQR2, const F* SQR4, const F* SQR8, const F* SQR16, const F* QRT, typename T, const T* LOAD, const T* SAVE>
+using FieldTri = GenField<I, B, I(1) + (I(1) << POS), MulTrinomial<I, B, POS>, F, SQR, SQR2, SQR4, SQR8, SQR16, QRT, T, LOAD, SAVE>;
+
+}
+
+#endif
diff --git a/src/minisketch/src/fields/generic_1byte.cpp b/src/minisketch/src/fields/generic_1byte.cpp
new file mode 100644
index 0000000000..5ce42dc5f7
--- /dev/null
+++ b/src/minisketch/src/fields/generic_1byte.cpp
@@ -0,0 +1,112 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_1)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_2
+// 2 bit field
+typedef RecLinTrans<uint8_t, 2> StatTable2;
+typedef RecLinTrans<uint8_t, 2> DynTable2;
+constexpr StatTable2 SQR_TABLE_2({0x1, 0x3});
+constexpr StatTable2 QRT_TABLE_2({0x2, 0});
+typedef Field<uint8_t, 2, 3, StatTable2, DynTable2, &SQR_TABLE_2, &QRT_TABLE_2> Field2;
+#endif
+
+#ifdef ENABLE_FIELD_INT_3
+// 3 bit field
+typedef RecLinTrans<uint8_t, 3> StatTable3;
+typedef RecLinTrans<uint8_t, 3> DynTable3;
+constexpr StatTable3 SQR_TABLE_3({0x1, 0x4, 0x6});
+constexpr StatTable3 QRT_TABLE_3({0, 0x4, 0x6});
+typedef Field<uint8_t, 3, 3, StatTable3, DynTable3, &SQR_TABLE_3, &QRT_TABLE_3> Field3;
+#endif
+
+#ifdef ENABLE_FIELD_INT_4
+// 4 bit field
+typedef RecLinTrans<uint8_t, 4> StatTable4;
+typedef RecLinTrans<uint8_t, 4> DynTable4;
+constexpr StatTable4 SQR_TABLE_4({0x1, 0x4, 0x3, 0xc});
+constexpr StatTable4 QRT_TABLE_4({0x6, 0xa, 0x8, 0});
+typedef Field<uint8_t, 4, 3, StatTable4, DynTable4, &SQR_TABLE_4, &QRT_TABLE_4> Field4;
+#endif
+
+#ifdef ENABLE_FIELD_INT_5
+// 5 bit field
+typedef RecLinTrans<uint8_t, 5> StatTable5;
+typedef RecLinTrans<uint8_t, 3, 2> DynTable5;
+constexpr StatTable5 SQR_TABLE_5({0x1, 0x4, 0x10, 0xa, 0xd});
+constexpr StatTable5 QRT_TABLE_5({0x14, 0x8, 0xa, 0, 0xe});
+typedef Field<uint8_t, 5, 5, StatTable5, DynTable5, &SQR_TABLE_5, &QRT_TABLE_5> Field5;
+#endif
+
+#ifdef ENABLE_FIELD_INT_6
+// 6 bit field
+typedef RecLinTrans<uint8_t, 6> StatTable6;
+typedef RecLinTrans<uint8_t, 3, 3> DynTable6;
+constexpr StatTable6 SQR_TABLE_6({0x1, 0x4, 0x10, 0x3, 0xc, 0x30});
+constexpr StatTable6 QRT_TABLE_6({0x3a, 0x26, 0x24, 0x14, 0x20, 0});
+typedef Field<uint8_t, 6, 3, StatTable6, DynTable6, &SQR_TABLE_6, &QRT_TABLE_6> Field6;
+#endif
+
+#ifdef ENABLE_FIELD_INT_7
+// 7 bit field
+typedef RecLinTrans<uint8_t, 4, 3> StatTable7;
+typedef RecLinTrans<uint8_t, 4, 3> DynTable7;
+constexpr StatTable7 SQR_TABLE_7({0x1, 0x4, 0x10, 0x40, 0x6, 0x18, 0x60});
+constexpr StatTable7 QRT_TABLE_7({0, 0x14, 0x16, 0x72, 0x12, 0x40, 0x7a});
+typedef Field<uint8_t, 7, 3, StatTable7, DynTable7, &SQR_TABLE_7, &QRT_TABLE_7> Field7;
+#endif
+
+#ifdef ENABLE_FIELD_INT_8
+// 8 bit field
+typedef RecLinTrans<uint8_t, 4, 4> StatTable8;
+typedef RecLinTrans<uint8_t, 4, 4> DynTable8;
+constexpr StatTable8 SQR_TABLE_8({0x1, 0x4, 0x10, 0x40, 0x1b, 0x6c, 0xab, 0x9a});
+constexpr StatTable8 QRT_TABLE_8({0xbc, 0x2a, 0x28, 0x86, 0x2c, 0xde, 0x8e, 0});
+typedef Field<uint8_t, 8, 27, StatTable8, DynTable8, &SQR_TABLE_8, &QRT_TABLE_8> Field8;
+#endif
+}
+
+Sketch* ConstructGeneric1Byte(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_2
+ case 2: return new SketchImpl<Field2>(implementation, 2);
+#endif
+#ifdef ENABLE_FIELD_INT_3
+ case 3: return new SketchImpl<Field3>(implementation, 3);
+#endif
+#ifdef ENABLE_FIELD_INT_4
+ case 4: return new SketchImpl<Field4>(implementation, 4);
+#endif
+#ifdef ENABLE_FIELD_INT_5
+ case 5: return new SketchImpl<Field5>(implementation, 5);
+#endif
+#ifdef ENABLE_FIELD_INT_6
+ case 6: return new SketchImpl<Field6>(implementation, 6);
+#endif
+#ifdef ENABLE_FIELD_INT_7
+ case 7: return new SketchImpl<Field7>(implementation, 7);
+#endif
+#ifdef ENABLE_FIELD_INT_8
+ case 8: return new SketchImpl<Field8>(implementation, 8);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_2bytes.cpp b/src/minisketch/src/fields/generic_2bytes.cpp
new file mode 100644
index 0000000000..12bf3110a6
--- /dev/null
+++ b/src/minisketch/src/fields/generic_2bytes.cpp
@@ -0,0 +1,124 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_2)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_9
+// 9 bit field
+typedef RecLinTrans<uint16_t, 5, 4> StatTable9;
+typedef RecLinTrans<uint16_t, 3, 3, 3> DynTable9;
+constexpr StatTable9 SQR_TABLE_9({0x1, 0x4, 0x10, 0x40, 0x100, 0x6, 0x18, 0x60, 0x180});
+constexpr StatTable9 QRT_TABLE_9({0, 0x4e, 0x4c, 0x1aa, 0x48, 0x22, 0x1a2, 0x100, 0x58});
+typedef Field<uint16_t, 9, 3, StatTable9, DynTable9, &SQR_TABLE_9, &QRT_TABLE_9> Field9;
+#endif
+
+#ifdef ENABLE_FIELD_INT_10
+// 10 bit field
+typedef RecLinTrans<uint16_t, 5, 5> StatTable10;
+typedef RecLinTrans<uint16_t, 4, 3, 3> DynTable10;
+constexpr StatTable10 SQR_TABLE_10({0x1, 0x4, 0x10, 0x40, 0x100, 0x9, 0x24, 0x90, 0x240, 0x112});
+constexpr StatTable10 QRT_TABLE_10({0xec, 0x86, 0x84, 0x30e, 0x80, 0x3c2, 0x306, 0, 0x90, 0x296});
+typedef Field<uint16_t, 10, 9, StatTable10, DynTable10, &SQR_TABLE_10, &QRT_TABLE_10> Field10;
+#endif
+
+#ifdef ENABLE_FIELD_INT_11
+// 11 bit field
+typedef RecLinTrans<uint16_t, 6, 5> StatTable11;
+typedef RecLinTrans<uint16_t, 4, 4, 3> DynTable11;
+constexpr StatTable11 SQR_TABLE_11({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0xa, 0x28, 0xa0, 0x280, 0x205});
+constexpr StatTable11 QRT_TABLE_11({0x734, 0x48, 0x4a, 0x1de, 0x4e, 0x35e, 0x1d6, 0x200, 0x5e, 0, 0x37e});
+typedef Field<uint16_t, 11, 5, StatTable11, DynTable11, &SQR_TABLE_11, &QRT_TABLE_11> Field11;
+#endif
+
+#ifdef ENABLE_FIELD_INT_12
+// 12 bit field
+typedef RecLinTrans<uint16_t, 6, 6> StatTable12;
+typedef RecLinTrans<uint16_t, 4, 4, 4> DynTable12;
+constexpr StatTable12 SQR_TABLE_12({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x9, 0x24, 0x90, 0x240, 0x900, 0x412});
+constexpr StatTable12 QRT_TABLE_12({0x48, 0xc10, 0xc12, 0x208, 0xc16, 0xd82, 0x200, 0x110, 0xc06, 0, 0xda2, 0x5a4});
+typedef Field<uint16_t, 12, 9, StatTable12, DynTable12, &SQR_TABLE_12, &QRT_TABLE_12> Field12;
+#endif
+
+#ifdef ENABLE_FIELD_INT_13
+// 13 bit field
+typedef RecLinTrans<uint16_t, 5, 4, 4> StatTable13;
+typedef RecLinTrans<uint16_t, 4, 3, 3, 3> DynTable13;
+constexpr StatTable13 SQR_TABLE_13({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x36, 0xd8, 0x360, 0xd80, 0x161b, 0x185a});
+constexpr StatTable13 QRT_TABLE_13({0xcfc, 0x1500, 0x1502, 0x382, 0x1506, 0x149c, 0x38a, 0x118, 0x1516, 0, 0x14bc, 0x100e, 0x3ca});
+typedef Field<uint16_t, 13, 27, StatTable13, DynTable13, &SQR_TABLE_13, &QRT_TABLE_13> Field13;
+#endif
+
+#ifdef ENABLE_FIELD_INT_14
+// 14 bit field
+typedef RecLinTrans<uint16_t, 5, 5, 4> StatTable14;
+typedef RecLinTrans<uint16_t, 4, 4, 3, 3> DynTable14;
+constexpr StatTable14 SQR_TABLE_14({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x21, 0x84, 0x210, 0x840, 0x2100, 0x442, 0x1108});
+constexpr StatTable14 QRT_TABLE_14({0x13f2, 0x206, 0x204, 0x3e06, 0x200, 0x1266, 0x3e0e, 0x114, 0x210, 0, 0x1246, 0x2848, 0x3e4e, 0x2258});
+typedef Field<uint16_t, 14, 33, StatTable14, DynTable14, &SQR_TABLE_14, &QRT_TABLE_14> Field14;
+#endif
+
+#ifdef ENABLE_FIELD_INT_15
+// 15 bit field
+typedef RecLinTrans<uint16_t, 5, 5, 5> StatTable15;
+typedef RecLinTrans<uint16_t, 4, 4, 4, 3> DynTable15;
+constexpr StatTable15 SQR_TABLE_15({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x6, 0x18, 0x60, 0x180, 0x600, 0x1800, 0x6000});
+constexpr StatTable15 QRT_TABLE_15({0, 0x114, 0x116, 0x428, 0x112, 0x137a, 0x420, 0x6d62, 0x102, 0x73a, 0x135a, 0x6460, 0x460, 0x4000, 0x6de2});
+typedef Field<uint16_t, 15, 3, StatTable15, DynTable15, &SQR_TABLE_15, &QRT_TABLE_15> Field15;
+#endif
+
+#ifdef ENABLE_FIELD_INT_16
+// 16 bit field
+typedef RecLinTrans<uint16_t, 6, 5, 5> StatTable16;
+typedef RecLinTrans<uint16_t, 4, 4, 4, 4> DynTable16;
+constexpr StatTable16 SQR_TABLE_16({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x2b, 0xac, 0x2b0, 0xac0, 0x2b00, 0xac00, 0xb056, 0xc10e});
+constexpr StatTable16 QRT_TABLE_16({0x732, 0x72b8, 0x72ba, 0x7e96, 0x72be, 0x78b2, 0x7e9e, 0x8cba, 0x72ae, 0xfa24, 0x7892, 0x5892, 0x7ede, 0xbec6, 0x8c3a, 0});
+typedef Field<uint16_t, 16, 43, StatTable16, DynTable16, &SQR_TABLE_16, &QRT_TABLE_16> Field16;
+#endif
+}
+
+Sketch* ConstructGeneric2Bytes(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_9
+ case 9: return new SketchImpl<Field9>(implementation, 9);
+#endif
+#ifdef ENABLE_FIELD_INT_10
+ case 10: return new SketchImpl<Field10>(implementation, 10);
+#endif
+#ifdef ENABLE_FIELD_INT_11
+ case 11: return new SketchImpl<Field11>(implementation, 11);
+#endif
+#ifdef ENABLE_FIELD_INT_12
+ case 12: return new SketchImpl<Field12>(implementation, 12);
+#endif
+#ifdef ENABLE_FIELD_INT_13
+ case 13: return new SketchImpl<Field13>(implementation, 13);
+#endif
+#ifdef ENABLE_FIELD_INT_14
+ case 14: return new SketchImpl<Field14>(implementation, 14);
+#endif
+#ifdef ENABLE_FIELD_INT_15
+ case 15: return new SketchImpl<Field15>(implementation, 15);
+#endif
+#ifdef ENABLE_FIELD_INT_16
+ case 16: return new SketchImpl<Field16>(implementation, 16);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_3bytes.cpp b/src/minisketch/src/fields/generic_3bytes.cpp
new file mode 100644
index 0000000000..13e85bd1a1
--- /dev/null
+++ b/src/minisketch/src/fields/generic_3bytes.cpp
@@ -0,0 +1,124 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_3)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_17
+// 17 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5> StatTable17;
+typedef RecLinTrans<uint32_t, 4, 4, 3, 3, 3> DynTable17;
+constexpr StatTable17 SQR_TABLE_17({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x8012});
+constexpr StatTable17 QRT_TABLE_17({0, 0x4c3e, 0x4c3c, 0x1a248, 0x4c38, 0x428, 0x1a240, 0x1b608, 0x4c28, 0x206, 0x408, 0x4000, 0x1a200, 0x18006, 0x1b688, 0x14d2e, 0x4d28});
+typedef Field<uint32_t, 17, 9, StatTable17, DynTable17, &SQR_TABLE_17, &QRT_TABLE_17> Field17;
+#endif
+
+#ifdef ENABLE_FIELD_INT_18
+// 18 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6> StatTable18;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 3, 3> DynTable18;
+constexpr StatTable18 SQR_TABLE_18({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x9, 0x24, 0x90, 0x240, 0x900, 0x2400, 0x9000, 0x24000, 0x10012});
+constexpr StatTable18 QRT_TABLE_18({0x9208, 0x422, 0x420, 0x8048, 0x424, 0x68b0, 0x8040, 0x30086, 0x434, 0x1040, 0x6890, 0x30ca2, 0x8000, 0x32896, 0x30006, 0, 0x534, 0x20532});
+typedef Field<uint32_t, 18, 9, StatTable18, DynTable18, &SQR_TABLE_18, &QRT_TABLE_18> Field18;
+#endif
+
+#ifdef ENABLE_FIELD_INT_19
+// 19 bit field
+typedef RecLinTrans<uint32_t, 5, 5, 5, 4> StatTable19;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 3> DynTable19;
+constexpr StatTable19 SQR_TABLE_19({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x4e, 0x138, 0x4e0, 0x1380, 0x4e00, 0x13800, 0x4e000, 0x3804e, 0x6011f});
+constexpr StatTable19 QRT_TABLE_19({0x5d6b0, 0x2f476, 0x2f474, 0x1d6a2, 0x2f470, 0x42a, 0x1d6aa, 0x1060, 0x2f460, 0x19e92, 0x40a, 0x1da98, 0x1d6ea, 0x28c78, 0x10e0, 0xf56a, 0x2f560, 0, 0x19c92});
+typedef Field<uint32_t, 19, 39, StatTable19, DynTable19, &SQR_TABLE_19, &QRT_TABLE_19> Field19;
+#endif
+
+#ifdef ENABLE_FIELD_INT_20
+// 20 bit field
+typedef RecLinTrans<uint32_t, 5, 5, 5, 5> StatTable20;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4> DynTable20;
+constexpr StatTable20 SQR_TABLE_20({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x9, 0x24, 0x90, 0x240, 0x900, 0x2400, 0x9000, 0x24000, 0x90000, 0x40012});
+constexpr StatTable20 QRT_TABLE_20({0xc5dea, 0xc0110, 0xc0112, 0xe11de, 0xc0116, 0x24814, 0xe11d6, 0x20080, 0xc0106, 0xfe872, 0x24834, 0xe4106, 0xe1196, 0x1d9a4, 0x20000, 0x31190, 0xc0006, 0, 0xfea72, 0x7ea74});
+typedef Field<uint32_t, 20, 9, StatTable20, DynTable20, &SQR_TABLE_20, &QRT_TABLE_20> Field20;
+#endif
+
+#ifdef ENABLE_FIELD_INT_21
+// 21 bit field
+typedef RecLinTrans<uint32_t, 6, 5, 5, 5> StatTable21;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 3, 3, 3> DynTable21;
+constexpr StatTable21 SQR_TABLE_21({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0xa, 0x28, 0xa0, 0x280, 0xa00, 0x2800, 0xa000, 0x28000, 0xa0000, 0x80005});
+constexpr StatTable21 QRT_TABLE_21({0x1bd5fc, 0xbc196, 0xbc194, 0x74b96, 0xbc190, 0x1048, 0x74b9e, 0x672c8, 0xbc180, 0x4080, 0x1068, 0xc8200, 0x74bde, 0x64280, 0x67248, 0xc4280, 0xbc080, 0x80000, 0x4280, 0, 0x1468});
+typedef Field<uint32_t, 21, 5, StatTable21, DynTable21, &SQR_TABLE_21, &QRT_TABLE_21> Field21;
+#endif
+
+#ifdef ENABLE_FIELD_INT_22
+// 22 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5, 5> StatTable22;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 3, 3> DynTable22;
+constexpr StatTable22 SQR_TABLE_22({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000});
+constexpr StatTable22 QRT_TABLE_22({0x210d16, 0x104a, 0x1048, 0x4088, 0x104c, 0x200420, 0x4080, 0x492dc, 0x105c, 0x1a67f0, 0x200400, 0x21155c, 0x40c0, 0x20346c, 0x4925c, 0x1af7ac, 0x115c, 0x2274ac, 0x1a65f0, 0x2a65f0, 0x200000, 0});
+typedef Field<uint32_t, 22, 3, StatTable22, DynTable22, &SQR_TABLE_22, &QRT_TABLE_22> Field22;
+#endif
+
+#ifdef ENABLE_FIELD_INT_23
+// 23 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 5> StatTable23;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 3> DynTable23;
+constexpr StatTable23 SQR_TABLE_23({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x42, 0x108, 0x420, 0x1080, 0x4200, 0x10800, 0x42000, 0x108000, 0x420000, 0x80042, 0x200108});
+constexpr StatTable23 QRT_TABLE_23({0, 0x1040, 0x1042, 0x43056, 0x1046, 0x121d76, 0x4305e, 0x40a0, 0x1056, 0x15176, 0x121d56, 0x7ee1f6, 0x4301e, 0x40000, 0x4020, 0x4f0be, 0x1156, 0x7cf0a0, 0x15376, 0x1ee9e8, 0x121956, 0x3ac9f6, 0x7ee9f6});
+typedef Field<uint32_t, 23, 33, StatTable23, DynTable23, &SQR_TABLE_23, &QRT_TABLE_23> Field23;
+#endif
+
+#ifdef ENABLE_FIELD_INT_24
+// 24 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 6> StatTable24;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 4> DynTable24;
+constexpr StatTable24 SQR_TABLE_24({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1b, 0x6c, 0x1b0, 0x6c0, 0x1b00, 0x6c00, 0x1b000, 0x6c000, 0x1b0000, 0x6c0000, 0xb0001b, 0xc0005a});
+constexpr StatTable24 QRT_TABLE_24({0x104e, 0xaf42a8, 0xaf42aa, 0xb78186, 0xaf42ae, 0x4090, 0xb7818e, 0x4a37c, 0xaf42be, 0x3688c0, 0x40b0, 0x80080e, 0xb781ce, 0xaf2232, 0x4a3fc, 0x856a82, 0xaf43be, 0x29c970, 0x368ac0, 0x968ace, 0x44b0, 0x77d570, 0x80000e, 0});
+typedef Field<uint32_t, 24, 27, StatTable24, DynTable24, &SQR_TABLE_24, &QRT_TABLE_24> Field24;
+#endif
+}
+
+Sketch* ConstructGeneric3Bytes(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_17
+ case 17: return new SketchImpl<Field17>(implementation, 17);
+#endif
+#ifdef ENABLE_FIELD_INT_18
+ case 18: return new SketchImpl<Field18>(implementation, 18);
+#endif
+#ifdef ENABLE_FIELD_INT_19
+ case 19: return new SketchImpl<Field19>(implementation, 19);
+#endif
+#ifdef ENABLE_FIELD_INT_20
+ case 20: return new SketchImpl<Field20>(implementation, 20);
+#endif
+#ifdef ENABLE_FIELD_INT_21
+ case 21: return new SketchImpl<Field21>(implementation, 21);
+#endif
+#ifdef ENABLE_FIELD_INT_22
+ case 22: return new SketchImpl<Field22>(implementation, 22);
+#endif
+#ifdef ENABLE_FIELD_INT_23
+ case 23: return new SketchImpl<Field23>(implementation, 23);
+#endif
+#ifdef ENABLE_FIELD_INT_24
+ case 24: return new SketchImpl<Field24>(implementation, 24);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_4bytes.cpp b/src/minisketch/src/fields/generic_4bytes.cpp
new file mode 100644
index 0000000000..2a26b90521
--- /dev/null
+++ b/src/minisketch/src/fields/generic_4bytes.cpp
@@ -0,0 +1,124 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_4)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_25
+// 25 bit field
+typedef RecLinTrans<uint32_t, 5, 5, 5, 5, 5> StatTable25;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 3, 3, 3> DynTable25;
+constexpr StatTable25 SQR_TABLE_25({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x48000, 0x120000, 0x480000, 0x1200000, 0x800012});
+constexpr StatTable25 QRT_TABLE_25({0, 0x482110, 0x482112, 0x1b3c3e6, 0x482116, 0x4960ae, 0x1b3c3ee, 0x4088, 0x482106, 0x58a726, 0x49608e, 0x5ce52e, 0x1b3c3ae, 0x2006, 0x4008, 0x1c1a8, 0x482006, 0x1e96488, 0x58a526, 0x400000, 0x49648e, 0x1800006, 0x5ced2e, 0xb3d3a8, 0x1b3d3ae});
+typedef Field<uint32_t, 25, 9, StatTable25, DynTable25, &SQR_TABLE_25, &QRT_TABLE_25> Field25;
+#endif
+
+#ifdef ENABLE_FIELD_INT_26
+// 26 bit field
+typedef RecLinTrans<uint32_t, 6, 5, 5, 5, 5> StatTable26;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 3, 3> DynTable26;
+constexpr StatTable26 SQR_TABLE_26({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x1b, 0x6c, 0x1b0, 0x6c0, 0x1b00, 0x6c00, 0x1b000, 0x6c000, 0x1b0000, 0x6c0000, 0x1b00000, 0x2c0001b, 0x300005a});
+constexpr StatTable26 QRT_TABLE_26({0x217b530, 0x2ae82a8, 0x2ae82aa, 0x2001046, 0x2ae82ae, 0x2de032e, 0x200104e, 0x70c10c, 0x2ae82be, 0x20151f2, 0x2de030e, 0xbc1400, 0x200100e, 0x178570, 0x70c18c, 0x2ae4232, 0x2ae83be, 0x211d742, 0x20153f2, 0x21f54f2, 0x2de070e, 0x5e0700, 0xbc1c00, 0x3abb97e, 0x200000e, 0});
+typedef Field<uint32_t, 26, 27, StatTable26, DynTable26, &SQR_TABLE_26, &QRT_TABLE_26> Field26;
+#endif
+
+#ifdef ENABLE_FIELD_INT_27
+// 27 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5, 5, 5> StatTable27;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 4, 3> DynTable27;
+constexpr StatTable27 SQR_TABLE_27({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x4e, 0x138, 0x4e0, 0x1380, 0x4e00, 0x13800, 0x4e000, 0x138000, 0x4e0000, 0x1380000, 0x4e00000, 0x380004e, 0x600011f});
+constexpr StatTable27 QRT_TABLE_27({0x6bf0530, 0x2be4496, 0x2be4494, 0x2bf0522, 0x2be4490, 0x1896cca, 0x2bf052a, 0x408a, 0x2be4480, 0x368ae72, 0x1896cea, 0x18d2ee0, 0x2bf056a, 0x1c76d6a, 0x400a, 0x336e9f8, 0x2be4580, 0x36baf12, 0x368ac72, 0x430360, 0x18968ea, 0x34a6b80, 0x18d26e0, 0xbf1560, 0x2bf156a, 0, 0x1c74d6a});
+typedef Field<uint32_t, 27, 39, StatTable27, DynTable27, &SQR_TABLE_27, &QRT_TABLE_27> Field27;
+#endif
+
+#ifdef ENABLE_FIELD_INT_28
+// 28 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 5, 5> StatTable28;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 4, 4> DynTable28;
+constexpr StatTable28 SQR_TABLE_28({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000});
+constexpr StatTable28 QRT_TABLE_28({0x121d57a, 0x40216, 0x40214, 0x8112578, 0x40210, 0x10110, 0x8112570, 0x12597ec, 0x40200, 0x6983e00, 0x10130, 0x972b99c, 0x8112530, 0x8002000, 0x125976c, 0x815a76c, 0x40300, 0x936b29c, 0x6983c00, 0x97bb8ac, 0x10530, 0x9103000, 0x972b19c, 0xf6384ac, 0x8113530, 0x4113530, 0x8000000, 0});
+typedef Field<uint32_t, 28, 3, StatTable28, DynTable28, &SQR_TABLE_28, &QRT_TABLE_28> Field28;
+#endif
+
+#ifdef ENABLE_FIELD_INT_29
+// 29 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 6, 5> StatTable29;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 3, 3, 3> DynTable29;
+constexpr StatTable29 SQR_TABLE_29({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0xa, 0x28, 0xa0, 0x280, 0xa00, 0x2800, 0xa000, 0x28000, 0xa0000, 0x280000, 0xa00000, 0x2800000, 0xa000000, 0x8000005});
+constexpr StatTable29 QRT_TABLE_29({0x1b8351dc, 0xb87135e, 0xb87135c, 0xda7b35e, 0xb871358, 0x621a116, 0xda7b356, 0x40200, 0xb871348, 0xc9e2620, 0x621a136, 0x478b16, 0xda7b316, 0x6762e20, 0x40280, 0x6202000, 0xb871248, 0x627a316, 0xc9e2420, 0xcd1ad36, 0x621a536, 0x760e20, 0x478316, 0xa760e20, 0xda7a316, 0x8000000, 0x6760e20, 0, 0x44280});
+typedef Field<uint32_t, 29, 5, StatTable29, DynTable29, &SQR_TABLE_29, &QRT_TABLE_29> Field29;
+#endif
+
+#ifdef ENABLE_FIELD_INT_30
+// 30 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 6, 6, 6> StatTable30;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 4, 3, 3> DynTable30;
+constexpr StatTable30 SQR_TABLE_30({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000, 0x30000000});
+constexpr StatTable30 QRT_TABLE_30({0x2159df4a, 0x109134a, 0x1091348, 0x10114, 0x109134c, 0x3a203420, 0x1011c, 0x20004080, 0x109135c, 0x2005439c, 0x3a203400, 0x100400, 0x1015c, 0x3eb21930, 0x20004000, 0x20504c00, 0x109125c, 0x3b2b276c, 0x2005419c, 0x210450c0, 0x3a203000, 0x3e93186c, 0x100c00, 0x3aa23530, 0x1115c, 0x6b3286c, 0x3eb23930, 0xeb23930, 0x20000000, 0});
+typedef Field<uint32_t, 30, 3, StatTable30, DynTable30, &SQR_TABLE_30, &QRT_TABLE_30> Field30;
+#endif
+
+#ifdef ENABLE_FIELD_INT_31
+// 31 bit field
+typedef RecLinTrans<uint32_t, 6, 5, 5, 5, 5, 5> StatTable31;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 4, 4, 3> DynTable31;
+constexpr StatTable31 SQR_TABLE_31({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x48000, 0x120000, 0x480000, 0x1200000, 0x4800000, 0x12000000, 0x48000000, 0x20000012});
+constexpr StatTable31 QRT_TABLE_31({0, 0x10110, 0x10112, 0x15076e, 0x10116, 0x117130e, 0x150766, 0x4743fa0, 0x10106, 0x1121008, 0x117132e, 0x176b248e, 0x150726, 0x172a2c88, 0x4743f20, 0x7eb81e86, 0x10006, 0x20008, 0x1121208, 0x56b2c8e, 0x117172e, 0x133f1bae, 0x176b2c8e, 0x7f2a0c8e, 0x151726, 0x10000000, 0x172a0c88, 0x60000006, 0x4747f20, 0x3eb89e80, 0x7eb89e86});
+typedef Field<uint32_t, 31, 9, StatTable31, DynTable31, &SQR_TABLE_31, &QRT_TABLE_31> Field31;
+#endif
+
+#ifdef ENABLE_FIELD_INT_32
+// 32 bit field
+typedef RecLinTrans<uint32_t, 6, 6, 5, 5, 5, 5> StatTable32;
+typedef RecLinTrans<uint32_t, 4, 4, 4, 4, 4, 4, 4, 4> DynTable32;
+constexpr StatTable32 SQR_TABLE_32({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x8d, 0x234, 0x8d0, 0x2340, 0x8d00, 0x23400, 0x8d000, 0x234000, 0x8d0000, 0x2340000, 0x8d00000, 0x23400000, 0x8d000000, 0x3400011a, 0xd0000468, 0x40001037});
+constexpr StatTable32 QRT_TABLE_32({0x54fd1264, 0xc26fcd64, 0xc26fcd66, 0x238a7462, 0xc26fcd62, 0x973bccaa, 0x238a746a, 0x77766712, 0xc26fcd72, 0xc1bdd556, 0x973bcc8a, 0x572a094c, 0x238a742a, 0xb693be84, 0x77766792, 0x9555c03e, 0xc26fcc72, 0x568419f8, 0xc1bdd756, 0x96c3d2ca, 0x973bc88a, 0x54861fdc, 0x572a014c, 0xb79badc4, 0x238a642a, 0xb9b99fe0, 0xb6939e84, 0xc519fa86, 0x77762792, 0, 0x9555403e, 0x377627ba});
+typedef Field<uint32_t, 32, 141, StatTable32, DynTable32, &SQR_TABLE_32, &QRT_TABLE_32> Field32;
+#endif
+}
+
+Sketch* ConstructGeneric4Bytes(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_25
+ case 25: return new SketchImpl<Field25>(implementation, 25);
+#endif
+#ifdef ENABLE_FIELD_INT_26
+ case 26: return new SketchImpl<Field26>(implementation, 26);
+#endif
+#ifdef ENABLE_FIELD_INT_27
+ case 27: return new SketchImpl<Field27>(implementation, 27);
+#endif
+#ifdef ENABLE_FIELD_INT_28
+ case 28: return new SketchImpl<Field28>(implementation, 28);
+#endif
+#ifdef ENABLE_FIELD_INT_29
+ case 29: return new SketchImpl<Field29>(implementation, 29);
+#endif
+#ifdef ENABLE_FIELD_INT_30
+ case 30: return new SketchImpl<Field30>(implementation, 30);
+#endif
+#ifdef ENABLE_FIELD_INT_31
+ case 31: return new SketchImpl<Field31>(implementation, 31);
+#endif
+#ifdef ENABLE_FIELD_INT_32
+ case 32: return new SketchImpl<Field32>(implementation, 32);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_5bytes.cpp b/src/minisketch/src/fields/generic_5bytes.cpp
new file mode 100644
index 0000000000..b06418184d
--- /dev/null
+++ b/src/minisketch/src/fields/generic_5bytes.cpp
@@ -0,0 +1,124 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_5)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_33
+// 33 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 5, 5, 5> StatTable33;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable33;
+constexpr StatTable33 SQR_TABLE_33({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x802, 0x2008, 0x8020, 0x20080, 0x80200, 0x200800, 0x802000, 0x2008000, 0x8020000, 0x20080000, 0x80200000, 0x800401, 0x2001004, 0x8004010, 0x20010040, 0x80040100});
+constexpr StatTable33 QRT_TABLE_33({0xba504dd4, 0x1e2798ef2, 0x1e2798ef0, 0x6698a4ec, 0x1e2798ef4, 0x1c7f1bef0, 0x6698a4e4, 0x16da1b384, 0x1e2798ee4, 0x661ca6ec, 0x1c7f1bed0, 0x1483b87a6, 0x6698a4a4, 0x800000, 0x16da1b304, 0x1a185101c, 0x1e2798fe4, 0xaa400954, 0x661ca4ec, 0x667caeec, 0x1c7f1bad0, 0x400800, 0x1483b8fa6, 0, 0x6698b4a4, 0x1c61da4b8, 0x802000, 0x16e5dadec, 0x16da1f304, 0x62fc8eec, 0x1a185901c, 0x1661da5ec, 0x1e2788fe4});
+typedef Field<uint64_t, 33, 1025, StatTable33, DynTable33, &SQR_TABLE_33, &QRT_TABLE_33> Field33;
+#endif
+
+#ifdef ENABLE_FIELD_INT_34
+// 34 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5> StatTable34;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable34;
+constexpr StatTable34 SQR_TABLE_34({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x81, 0x204, 0x810, 0x2040, 0x8100, 0x20400, 0x81000, 0x204000, 0x810000, 0x2040000, 0x8100000, 0x20400000, 0x81000000, 0x204000000, 0x10000102, 0x40000408, 0x100001020});
+constexpr StatTable34 QRT_TABLE_34({0x2f973a1f6, 0x40202, 0x40200, 0x348102060, 0x40204, 0x8000420, 0x348102068, 0x1092195c8, 0x40214, 0x3f6881b6e, 0x8000400, 0x3f810383e, 0x348102028, 0x340002068, 0x109219548, 0x24015a774, 0x40314, 0x3f050343e, 0x3f688196e, 0x3f81c3a3a, 0x8000000, 0x24031a560, 0x3f810303e, 0xb08c1a12, 0x348103028, 0xb2881906, 0x340000068, 0, 0x10921d548, 0x2e131e576, 0x240152774, 0x18921d55e, 0x50314, 0x14015271c});
+typedef Field<uint64_t, 34, 129, StatTable34, DynTable34, &SQR_TABLE_34, &QRT_TABLE_34> Field34;
+#endif
+
+#ifdef ENABLE_FIELD_INT_35
+// 35 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5> StatTable35;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable35;
+constexpr StatTable35 SQR_TABLE_35({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0xa, 0x28, 0xa0, 0x280, 0xa00, 0x2800, 0xa000, 0x28000, 0xa0000, 0x280000, 0xa00000, 0x2800000, 0xa000000, 0x28000000, 0xa0000000, 0x280000000, 0x200000005});
+constexpr StatTable35 QRT_TABLE_35({0x5c2038114, 0x2bf547ee8, 0x2bf547eea, 0x2bf1074e8, 0x2bf547eee, 0x1883d0736, 0x2bf1074e0, 0x100420, 0x2bf547efe, 0x400800, 0x1883d0716, 0x5e90e4a0, 0x2bf1074a0, 0x4e70ac20, 0x1004a0, 0x2f060c880, 0x2bf547ffe, 0x37d55fffe, 0x400a00, 0x3372573de, 0x1883d0316, 0x700c20, 0x5e90eca0, 0x10604880, 0x2bf1064a0, 0x18f35377e, 0x4e708c20, 0x33f557ffe, 0x1044a0, 0x1bf557ffe, 0x2f0604880, 0x200000000, 0x2bf557ffe, 0, 0x37d57fffe});
+typedef Field<uint64_t, 35, 5, StatTable35, DynTable35, &SQR_TABLE_35, &QRT_TABLE_35> Field35;
+#endif
+
+#ifdef ENABLE_FIELD_INT_36
+// 36 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6> StatTable36;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable36;
+constexpr StatTable36 SQR_TABLE_36({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x201, 0x804, 0x2010, 0x8040, 0x20100, 0x80400, 0x201000, 0x804000, 0x2010000, 0x8040000, 0x20100000, 0x80400000, 0x201000000, 0x804000000, 0x10000402, 0x40001008, 0x100004020, 0x400010080});
+constexpr StatTable36 QRT_TABLE_36({0x40200, 0x8b0526186, 0x8b0526184, 0x240001000, 0x8b0526180, 0xcb6894d94, 0x240001008, 0xdb6880c22, 0x8b0526190, 0x8000200, 0xcb6894db4, 0x500424836, 0x240001048, 0x406cb2834, 0xdb6880ca2, 0x241200008, 0x8b0526090, 0xdb05021a6, 0x8000000, 0xdb01829b2, 0xcb68949b4, 0x1001000, 0x500424036, 0x106116406, 0x240000048, 0xcb29968a4, 0x406cb0834, 0, 0xdb6884ca2, 0x110010516, 0x241208008, 0x430434520, 0x8b0536090, 0x41208040, 0xdb05221a6, 0xb6884d14});
+typedef Field<uint64_t, 36, 513, StatTable36, DynTable36, &SQR_TABLE_36, &QRT_TABLE_36> Field36;
+#endif
+
+#ifdef ENABLE_FIELD_INT_37
+// 37 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 5, 5, 5, 5, 5> StatTable37;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable37;
+constexpr StatTable37 SQR_TABLE_37({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0xa6, 0x298, 0xa60, 0x2980, 0xa600, 0x29800, 0xa6000, 0x298000, 0xa60000, 0x2980000, 0xa600000, 0x29800000, 0xa6000000, 0x298000000, 0xa60000000, 0x980000053, 0x60000011f, 0x180000047c});
+constexpr StatTable37 QRT_TABLE_37({0xa3c62e7ba, 0xdc7a0c16a, 0xdc7a0c168, 0x12f7484546, 0xdc7a0c16c, 0xa9803a20, 0x12f748454e, 0xda07064a4, 0xdc7a0c17c, 0x123908de8e, 0xa9803a00, 0x122a888a8e, 0x12f748450e, 0x6790add8, 0xda0706424, 0x12e0a0384c, 0xdc7a0c07c, 0xcb28a2c2, 0x123908dc8e, 0xd09f85e86, 0xa9803e00, 0x124d682b6e, 0x122a88828e, 0x1738711a, 0x12f748550e, 0x73035b8, 0x67908dd8, 0xa0702438, 0xda0702424, 0xe0a0b860, 0x12e0a0b84c, 0x1c7a1c060, 0xdc7a1c07c, 0, 0xcb2aa2c2, 0x100000002c, 0x12390cdc8e});
+typedef Field<uint64_t, 37, 83, StatTable37, DynTable37, &SQR_TABLE_37, &QRT_TABLE_37> Field37;
+#endif
+
+#ifdef ENABLE_FIELD_INT_38
+// 38 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 5, 5, 5, 5> StatTable38;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable38;
+constexpr StatTable38 SQR_TABLE_38({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x63, 0x18c, 0x630, 0x18c0, 0x6300, 0x18c00, 0x63000, 0x18c000, 0x630000, 0x18c0000, 0x6300000, 0x18c00000, 0x63000000, 0x18c000000, 0x630000000, 0x18c0000000, 0x2300000063, 0xc0000014a, 0x3000000528});
+constexpr StatTable38 QRT_TABLE_38({0x34b0ac6430, 0x2223262fa, 0x2223262f8, 0x35554405fe, 0x2223262fc, 0x355514098a, 0x35554405f6, 0x400840, 0x2223262ec, 0x1777726532, 0x35551409aa, 0x15c06fc0, 0x35554405b6, 0x1f5303fec, 0x4008c0, 0x236a21030, 0x2223263ec, 0x1a9008c00, 0x1777726732, 0x3692c60ab6, 0x3555140daa, 0x15556007ee, 0x15c067c0, 0x14a0b030f2, 0x35554415b6, 0x227c06d168, 0x1f5301fec, 0x16c3928fc2, 0x4048c0, 0x3a942c4c0, 0x236a29030, 0x1636a2902e, 0x2223363ec, 0x3a6e898276, 0x1a9028c00, 0x6de74eb2c, 0x1777766732, 0});
+typedef Field<uint64_t, 38, 99, StatTable38, DynTable38, &SQR_TABLE_38, &QRT_TABLE_38> Field38;
+#endif
+
+#ifdef ENABLE_FIELD_INT_39
+// 39 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5> StatTable39;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable39;
+constexpr StatTable39 SQR_TABLE_39({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x22, 0x88, 0x220, 0x880, 0x2200, 0x8800, 0x22000, 0x88000, 0x220000, 0x880000, 0x2200000, 0x8800000, 0x22000000, 0x88000000, 0x220000000, 0x880000000, 0x2200000000, 0x800000011, 0x2000000044});
+constexpr StatTable39 QRT_TABLE_39({0x66b02a408c, 0x100420, 0x100422, 0x14206080, 0x100426, 0x5dccefab1c, 0x14206088, 0x9fc11e5b6, 0x100436, 0x5466bea62a, 0x5dccefab3c, 0x9aa110536, 0x142060c8, 0x54739ed6e2, 0x9fc11e536, 0xe7a82c080, 0x100536, 0x4002000, 0x5466bea42a, 0x6a4022000, 0x5dccefaf3c, 0x9e8118536, 0x9aa110d36, 0x5680e080, 0x142070c8, 0x7d293c5b6, 0x54739ef6e2, 0x8d680e080, 0x9fc11a536, 0x6d282c080, 0xe7a824080, 0x800000000, 0x110536, 0x2d680e080, 0x4022000, 0, 0x5466baa42a, 0x46b03a44aa, 0x6a40a2000});
+typedef Field<uint64_t, 39, 17, StatTable39, DynTable39, &SQR_TABLE_39, &QRT_TABLE_39> Field39;
+#endif
+
+#ifdef ENABLE_FIELD_INT_40
+// 40 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5> StatTable40;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable40;
+constexpr StatTable40 SQR_TABLE_40({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x39, 0xe4, 0x390, 0xe40, 0x3900, 0xe400, 0x39000, 0xe4000, 0x390000, 0xe40000, 0x3900000, 0xe400000, 0x39000000, 0xe4000000, 0x390000000, 0xe40000000, 0x3900000000, 0xe400000000, 0x900000004b, 0x400000015e});
+constexpr StatTable40 QRT_TABLE_40({0x624b3cecc, 0xbc5c3f4c6, 0xbc5c3f4c4, 0xde1603e2c, 0xbc5c3f4c0, 0xaabec06cea, 0xde1603e24, 0x6cd9f724c2, 0xbc5c3f4d0, 0xcde1743818, 0xaabec06cca, 0xa138c314ca, 0xde1603e64, 0xaafc00f01a, 0x6cd9f72442, 0xcdca11bb4, 0xbc5c3f5d0, 0xa00002001a, 0xcde1743a18, 0xdf1407b90, 0xaabec068ca, 0xc043b482c8, 0xa138c31cca, 0xcb86977e3c, 0xde1602e64, 0x604596a326, 0xaafc00d01a, 0xcc1c165d0, 0x6cd9f76442, 0x673c94da26, 0xcdca19bb4, 0x67c0940a26, 0xbc5c2f5d0, 0xa4dca19bae, 0xa00000001a, 0x1bc5c2f5d0, 0xcde1703a18, 0, 0xdf1487b90, 0x8df1487b8a});
+typedef Field<uint64_t, 40, 57, StatTable40, DynTable40, &SQR_TABLE_40, &QRT_TABLE_40> Field40;
+#endif
+}
+
+Sketch* ConstructGeneric5Bytes(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_33
+ case 33: return new SketchImpl<Field33>(implementation, 33);
+#endif
+#ifdef ENABLE_FIELD_INT_34
+ case 34: return new SketchImpl<Field34>(implementation, 34);
+#endif
+#ifdef ENABLE_FIELD_INT_35
+ case 35: return new SketchImpl<Field35>(implementation, 35);
+#endif
+#ifdef ENABLE_FIELD_INT_36
+ case 36: return new SketchImpl<Field36>(implementation, 36);
+#endif
+#ifdef ENABLE_FIELD_INT_37
+ case 37: return new SketchImpl<Field37>(implementation, 37);
+#endif
+#ifdef ENABLE_FIELD_INT_38
+ case 38: return new SketchImpl<Field38>(implementation, 38);
+#endif
+#ifdef ENABLE_FIELD_INT_39
+ case 39: return new SketchImpl<Field39>(implementation, 39);
+#endif
+#ifdef ENABLE_FIELD_INT_40
+ case 40: return new SketchImpl<Field40>(implementation, 40);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_6bytes.cpp b/src/minisketch/src/fields/generic_6bytes.cpp
new file mode 100644
index 0000000000..becb26e875
--- /dev/null
+++ b/src/minisketch/src/fields/generic_6bytes.cpp
@@ -0,0 +1,124 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_6)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_41
+// 41 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5> StatTable41;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable41;
+constexpr StatTable41 SQR_TABLE_41({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x12, 0x48, 0x120, 0x480, 0x1200, 0x4800, 0x12000, 0x48000, 0x120000, 0x480000, 0x1200000, 0x4800000, 0x12000000, 0x48000000, 0x120000000, 0x480000000, 0x1200000000, 0x4800000000, 0x12000000000, 0x8000000012});
+constexpr StatTable41 QRT_TABLE_41({0, 0x1599a5e0b0, 0x1599a5e0b2, 0x105c119e0, 0x1599a5e0b6, 0x1a2030452a6, 0x105c119e8, 0x1a307c55b2e, 0x1599a5e0a6, 0x1ee3f47bc8e, 0x1a203045286, 0x400808, 0x105c119a8, 0x1a3038573a6, 0x1a307c55bae, 0x4d2882a520, 0x1599a5e1a6, 0x1ffbaa0b720, 0x1ee3f47be8e, 0x4d68c22528, 0x1a203045686, 0x200006, 0x400008, 0x1b79a21b200, 0x105c109a8, 0x1ef3886a526, 0x1a3038553a6, 0x1b692209200, 0x1a307c51bae, 0x5d99a4e1a6, 0x4d28822520, 0x185e109ae, 0x1599a4e1a6, 0x4e3f43be88, 0x1ffbaa2b720, 0x4000000000, 0x1ee3f43be8e, 0x18000000006, 0x4d68ca2528, 0xa203145680, 0x1a203145686});
+typedef Field<uint64_t, 41, 9, StatTable41, DynTable41, &SQR_TABLE_41, &QRT_TABLE_41> Field41;
+#endif
+
+#ifdef ENABLE_FIELD_INT_42
+// 42 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6> StatTable42;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable42;
+constexpr StatTable42 SQR_TABLE_42({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x81, 0x204, 0x810, 0x2040, 0x8100, 0x20400, 0x81000, 0x204000, 0x810000, 0x2040000, 0x8100000, 0x20400000, 0x81000000, 0x204000000, 0x810000000, 0x2040000000, 0x8100000000, 0x20400000000, 0x1000000102, 0x4000000408, 0x10000001020});
+constexpr StatTable42 QRT_TABLE_42({0x810200080, 0x120810806, 0x120810804, 0x1068c1a1000, 0x120810800, 0x34005023008, 0x1068c1a1008, 0x800004080, 0x120810810, 0x162818a10, 0x34005023028, 0x42408a14, 0x1068c1a1048, 0x1001040, 0x800004000, 0xb120808906, 0x120810910, 0x34000020068, 0x162818810, 0x68c021400, 0x34005023428, 0x10004000, 0x42408214, 0x162418214, 0x1068c1a0048, 0xb002018116, 0x1003040, 0x10008180448, 0x800000000, 0x62c08b04, 0xb120800906, 0x2408d1a3060, 0x120800910, 0x34401003028, 0x34000000068, 0, 0x162858810, 0xa042058116, 0x68c0a1400, 0x8162858806, 0x34005123428, 0x3068c0a1468});
+typedef Field<uint64_t, 42, 129, StatTable42, DynTable42, &SQR_TABLE_42, &QRT_TABLE_42> Field42;
+#endif
+
+#ifdef ENABLE_FIELD_INT_43
+// 43 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 5, 5, 5, 5, 5> StatTable43;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable43;
+constexpr StatTable43 SQR_TABLE_43({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0xb2, 0x2c8, 0xb20, 0x2c80, 0xb200, 0x2c800, 0xb2000, 0x2c8000, 0xb20000, 0x2c80000, 0xb200000, 0x2c800000, 0xb2000000, 0x2c8000000, 0xb20000000, 0x2c80000000, 0xb200000000, 0x2c800000000, 0x32000000059, 0x4800000013d, 0x20000000446});
+constexpr StatTable43 QRT_TABLE_43({0x2bccc2d6f6c, 0x4bccc2d6f54, 0x4bccc2d6f56, 0x7cc7bc61df0, 0x4bccc2d6f52, 0x7d13b404b10, 0x7cc7bc61df8, 0x37456e9ac5a, 0x4bccc2d6f42, 0x4e042c6a6, 0x7d13b404b30, 0x4a56de9ef4c, 0x7cc7bc61db8, 0x14bc18d8e, 0x37456e9acda, 0x7c89f84fb1e, 0x4bccc2d6e42, 0x7ffae40d210, 0x4e042c4a6, 0x366f45dd06, 0x7d13b404f30, 0x496fcaf8cca, 0x4a56de9e74c, 0x370b62b6af4, 0x7cc7bc60db8, 0x1498185a8, 0x14bc1ad8e, 0x7e602c46a98, 0x37456e9ecda, 0x36ccc2c6e74, 0x7c89f847b1e, 0x7e27d06d516, 0x4bccc2c6e42, 0x7f93302c396, 0x7ffae42d210, 0x3dd3440706, 0x4e046c4a6, 0x78bbc09da36, 0x366f4ddd06, 0, 0x7d13b504f30, 0x8bbc09da00, 0x496fc8f8cca});
+typedef Field<uint64_t, 43, 89, StatTable43, DynTable43, &SQR_TABLE_43, &QRT_TABLE_43> Field43;
+#endif
+
+#ifdef ENABLE_FIELD_INT_44
+// 44 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5, 5> StatTable44;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable44;
+constexpr StatTable44 SQR_TABLE_44({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x21, 0x84, 0x210, 0x840, 0x2100, 0x8400, 0x21000, 0x84000, 0x210000, 0x840000, 0x2100000, 0x8400000, 0x21000000, 0x84000000, 0x210000000, 0x840000000, 0x2100000000, 0x8400000000, 0x21000000000, 0x84000000000, 0x10000000042, 0x40000000108});
+constexpr StatTable44 QRT_TABLE_44({0xf05334f4f6e, 0x4002016, 0x4002014, 0xf04350e6246, 0x4002010, 0x4935b379a26, 0xf04350e624e, 0xf84250c228e, 0x4002000, 0xf04300e521e, 0x4935b379a06, 0xb966838dd48, 0xf04350e620e, 0xf7b8b80feda, 0xf84250c220e, 0xf972e097d5e, 0x4002100, 0x8000020000, 0xf04300e501e, 0x430025000, 0x4935b379e06, 0xf976a09dc5e, 0xb966838d548, 0xf84218c029a, 0xf04350e720e, 0x4925f36bf06, 0xf7b8b80deda, 0xb047d3ee758, 0xf84250c620e, 0xf80350e720e, 0xf972e09fd5e, 0x8091825284, 0x4012100, 0x9015063210, 0x8000000000, 0xff31a028c5e, 0xf04300a501e, 0x44340b7100, 0x4300a5000, 0, 0x4935b279e06, 0xa976b2dce18, 0xf976a29dc5e, 0x8935b279e18});
+typedef Field<uint64_t, 44, 33, StatTable44, DynTable44, &SQR_TABLE_44, &QRT_TABLE_44> Field44;
+#endif
+
+#ifdef ENABLE_FIELD_INT_45
+// 45 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5, 5> StatTable45;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable45;
+constexpr StatTable45 SQR_TABLE_45({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x36, 0xd8, 0x360, 0xd80, 0x3600, 0xd800, 0x36000, 0xd8000, 0x360000, 0xd80000, 0x3600000, 0xd800000, 0x36000000, 0xd8000000, 0x360000000, 0xd80000000, 0x3600000000, 0xd800000000, 0x36000000000, 0xd8000000000, 0x16000000001b, 0x18000000005a});
+constexpr StatTable45 QRT_TABLE_45({0xede34e3e0fc, 0x1554148191aa, 0x1554148191a8, 0x1767be1dc4a6, 0x1554148191ac, 0x26bd4931492, 0x1767be1dc4ae, 0x233ab9c454a, 0x1554148191bc, 0x16939e8bb3dc, 0x26bd49314b2, 0x3c6ca8bac52, 0x1767be1dc4ee, 0x16caa5054c16, 0x233ab9c45ca, 0x14a1649628bc, 0x1554148190bc, 0x3c382881252, 0x16939e8bb1dc, 0x3c7ca0aa160, 0x26bd49310b2, 0x27f40158000, 0x3c6ca8ba452, 0x173fc092853c, 0x1767be1dd4ee, 0x16cbe284f25c, 0x16caa5056c16, 0x155559002f96, 0x233ab9c05ca, 0x26eb8908b32, 0x14a16496a8bc, 0x15440885333c, 0x1554148090bc, 0x17d60702e0, 0x3c3828a1252, 0x54548d10b2, 0x16939e8fb1dc, 0x3ac1e81b1d2, 0x3c7ca02a160, 0x166bd48310bc, 0x26bd48310b2, 0, 0x27f40358000, 0x10000000000e, 0x3c6cacba452});
+typedef Field<uint64_t, 45, 27, StatTable45, DynTable45, &SQR_TABLE_45, &QRT_TABLE_45> Field45;
+#endif
+
+#ifdef ENABLE_FIELD_INT_46
+// 46 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5> StatTable46;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable46;
+constexpr StatTable46 SQR_TABLE_46({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000, 0x30000000, 0xc0000000, 0x300000000, 0xc00000000, 0x3000000000, 0xc000000000, 0x30000000000, 0xc0000000000, 0x300000000000});
+constexpr StatTable46 QRT_TABLE_46({0x211c4fd486ba, 0x100104a, 0x1001048, 0x104d0492d4, 0x100104c, 0x20005040c820, 0x104d0492dc, 0x40008080, 0x100105c, 0x24835068ce00, 0x20005040c800, 0x200000400800, 0x104d04929c, 0x100904325c, 0x40008000, 0x25da9e77daf0, 0x100115c, 0x1184e1696f0, 0x24835068cc00, 0x24825169dd5c, 0x20005040cc00, 0x3ea3241c60c0, 0x200000400000, 0x211c4e5496f0, 0x104d04829c, 0x20005340d86c, 0x100904125c, 0x24835968de5c, 0x4000c000, 0x6400a0c0, 0x25da9e775af0, 0x118cf1687ac, 0x101115c, 0x1ea1745cacc0, 0x1184e1496f0, 0x20181e445af0, 0x2483506ccc00, 0x20240060c0, 0x24825161dd5c, 0x1e21755dbd9c, 0x20005050cc00, 0x26a3746cacc0, 0x3ea3243c60c0, 0xea3243c60c0, 0x200000000000, 0});
+typedef Field<uint64_t, 46, 3, StatTable46, DynTable46, &SQR_TABLE_46, &QRT_TABLE_46> Field46;
+#endif
+
+#ifdef ENABLE_FIELD_INT_47
+// 47 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5> StatTable47;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable47;
+constexpr StatTable47 SQR_TABLE_47({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x42, 0x108, 0x420, 0x1080, 0x4200, 0x10800, 0x42000, 0x108000, 0x420000, 0x1080000, 0x4200000, 0x10800000, 0x42000000, 0x108000000, 0x420000000, 0x1080000000, 0x4200000000, 0x10800000000, 0x42000000000, 0x108000000000, 0x420000000000, 0x80000000042, 0x200000000108});
+constexpr StatTable47 QRT_TABLE_47({0, 0x1001040, 0x1001042, 0x1047043076, 0x1001046, 0x112471c241e, 0x104704307e, 0x4304e052168, 0x1001056, 0x10004000, 0x112471c243e, 0x172a09c949d6, 0x104704303e, 0x4002020, 0x4304e0521e8, 0x5400e220, 0x1001156, 0x172b08c85080, 0x10004200, 0x41200b0800, 0x112471c203e, 0x172f0cca50a0, 0x172a09c941d6, 0x7eb88a11c1d6, 0x104704203e, 0x1044042020, 0x4000020, 0x42001011156, 0x4304e0561e8, 0x172a28c95880, 0x54006220, 0x112931cc21e, 0x1011156, 0x53670f283e, 0x172b08ca5080, 0x7a80c414a03e, 0x10044200, 0x40000000000, 0x4120030800, 0x1928318801e, 0x112470c203e, 0x799283188000, 0x172f0cea50a0, 0x1eb88a91c1c8, 0x172a098941d6, 0x3ea8cc95e1f6, 0x7eb88a91c1d6});
+typedef Field<uint64_t, 47, 33, StatTable47, DynTable47, &SQR_TABLE_47, &QRT_TABLE_47> Field47;
+#endif
+
+#ifdef ENABLE_FIELD_INT_48
+// 48 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6> StatTable48;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable48;
+constexpr StatTable48 SQR_TABLE_48({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x2d, 0xb4, 0x2d0, 0xb40, 0x2d00, 0xb400, 0x2d000, 0xb4000, 0x2d0000, 0xb40000, 0x2d00000, 0xb400000, 0x2d000000, 0xb4000000, 0x2d0000000, 0xb40000000, 0x2d00000000, 0xb400000000, 0x2d000000000, 0xb4000000000, 0x2d0000000000, 0xb40000000000, 0xd0000000005a, 0x40000000011f});
+constexpr StatTable48 QRT_TABLE_48({0xc00442c284f0, 0xc16b7fda410a, 0xc16b7fda4108, 0xada3b5c79fbe, 0xc16b7fda410c, 0x16f3c18d5b0, 0xada3b5c79fb6, 0x7090a381f64, 0xc16b7fda411c, 0xcafc15d179f8, 0x16f3c18d590, 0x6630880e534e, 0xada3b5c79ff6, 0xa13dd1f49826, 0x7090a381fe4, 0xb87560f6a74, 0xc16b7fda401c, 0xaaaaffff0012, 0xcafc15d17bf8, 0xaafd15f07bf6, 0x16f3c18d190, 0x60000020000e, 0x6630880e5b4e, 0xcb977fcb401c, 0xada3b5c78ff6, 0x6663420cad0, 0xa13dd1f4b826, 0xc0045fc2f41c, 0x7090a385fe4, 0x6762e24b834, 0xb87560fea74, 0xc6351fed241c, 0xc16b7fdb401c, 0x60065622ea7a, 0xaaaafffd0012, 0xdf9562bea74, 0xcafc15d57bf8, 0x6657ea057bea, 0xaafd15f87bf6, 0xa79329ddaa66, 0x16f3c08d190, 0xa39229f0aa66, 0x60000000000e, 0x175fb4468ad0, 0x6630884e5b4e, 0, 0xcb977f4b401c, 0x2630884e5b40});
+typedef Field<uint64_t, 48, 45, StatTable48, DynTable48, &SQR_TABLE_48, &QRT_TABLE_48> Field48;
+#endif
+}
+
+Sketch* ConstructGeneric6Bytes(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_41
+ case 41: return new SketchImpl<Field41>(implementation, 41);
+#endif
+#ifdef ENABLE_FIELD_INT_42
+ case 42: return new SketchImpl<Field42>(implementation, 42);
+#endif
+#ifdef ENABLE_FIELD_INT_43
+ case 43: return new SketchImpl<Field43>(implementation, 43);
+#endif
+#ifdef ENABLE_FIELD_INT_44
+ case 44: return new SketchImpl<Field44>(implementation, 44);
+#endif
+#ifdef ENABLE_FIELD_INT_45
+ case 45: return new SketchImpl<Field45>(implementation, 45);
+#endif
+#ifdef ENABLE_FIELD_INT_46
+ case 46: return new SketchImpl<Field46>(implementation, 46);
+#endif
+#ifdef ENABLE_FIELD_INT_47
+ case 47: return new SketchImpl<Field47>(implementation, 47);
+#endif
+#ifdef ENABLE_FIELD_INT_48
+ case 48: return new SketchImpl<Field48>(implementation, 48);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_7bytes.cpp b/src/minisketch/src/fields/generic_7bytes.cpp
new file mode 100644
index 0000000000..8222f37a64
--- /dev/null
+++ b/src/minisketch/src/fields/generic_7bytes.cpp
@@ -0,0 +1,124 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_7)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_49
+// 49 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 5, 5, 5, 5, 5> StatTable49;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable49;
+constexpr StatTable49 SQR_TABLE_49({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x402, 0x1008, 0x4020, 0x10080, 0x40200, 0x100800, 0x402000, 0x1008000, 0x4020000, 0x10080000, 0x40200000, 0x100800000, 0x402000000, 0x1008000000, 0x4020000000, 0x10080000000, 0x40200000000, 0x100800000000, 0x402000000000, 0x1008000000000, 0x20000000402, 0x80000001008, 0x200000004020, 0x800000010080});
+constexpr StatTable49 QRT_TABLE_49({0, 0x10004196, 0x10004194, 0x5099461f080, 0x10004190, 0x40840600c20, 0x5099461f088, 0x58a56349cfde, 0x10004180, 0x48641a0c03fe, 0x40840600c00, 0x10084002848, 0x5099461f0c8, 0x4002048, 0x58a56349cf5e, 0x5088460a048, 0x10004080, 0x4c2852624dde, 0x48641a0c01fe, 0x14893129c280, 0x40840600800, 0x1eb23c323ace8, 0x10084002048, 0x48740a09417e, 0x5099461e0c8, 0x40852604d96, 0x4000048, 0x5cad2b29c37e, 0x58a563498f5e, 0x20000200, 0x50884602048, 0x10000000000, 0x10014080, 0x4c2a56624d96, 0x4c2852604dde, 0x1ee2347438ca0, 0x48641a0801fe, 0x480000000048, 0x14893121c280, 0x14091121c080, 0x40840700800, 0x1a5099561e17e, 0x1eb23c303ace8, 0x8740a894136, 0x10084402048, 0x18101c501ace8, 0x48740a89417e, 0x15dace6286f96, 0x5099561e0c8});
+typedef Field<uint64_t, 49, 513, StatTable49, DynTable49, &SQR_TABLE_49, &QRT_TABLE_49> Field49;
+#endif
+
+#ifdef ENABLE_FIELD_INT_50
+// 50 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5, 5, 5> StatTable50;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable50;
+constexpr StatTable50 SQR_TABLE_50({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x1d, 0x74, 0x1d0, 0x740, 0x1d00, 0x7400, 0x1d000, 0x74000, 0x1d0000, 0x740000, 0x1d00000, 0x7400000, 0x1d000000, 0x74000000, 0x1d0000000, 0x740000000, 0x1d00000000, 0x7400000000, 0x1d000000000, 0x74000000000, 0x1d0000000000, 0x740000000000, 0x1d00000000000, 0x340000000001d, 0x1000000000053});
+constexpr StatTable50 QRT_TABLE_50({0xfbdfa3ae9d4c, 0x38143245a4878, 0x38143245a487a, 0x38527487e7492, 0x38143245a487e, 0x3124c61f56d2a, 0x38527487e749a, 0xfa8c91b087c0, 0x38143245a486e, 0x3eca48c6196be, 0x3124c61f56d0a, 0x380000040080a, 0x38527487e74da, 0x976b2d8b39b4, 0xfa8c91b08740, 0xfa8cd5b02724, 0x38143245a496e, 0x316291dd013fe, 0x3eca48c6194be, 0x10344122064, 0x3124c61f5690a, 0x68c5f006ee40, 0x380000040000a, 0x852749fe64d0, 0x38527487e64da, 0x37ef8e9d0e9da, 0x976b2d8b19b4, 0x37fabd1cef34a, 0xfa8c91b0c740, 0x96282d9159b4, 0xfa8cd5b0a724, 0x464a8249dd0, 0x38143245b496e, 0x37eaa8ddc94be, 0x316291dd213fe, 0x392446035690a, 0x3eca48c6594be, 0x974b258b4964, 0x103441a2064, 0x385a7c87fb4da, 0x3124c61e5690a, 0xeb8ad5d9a724, 0x68c5f026ee40, 0x3724c61e5690a, 0x380000000000a, 0x3a8c5f026ee4a, 0x8527497e64d0, 0, 0x38527497e64da, 0x2fbdfa2ae8d0a});
+typedef Field<uint64_t, 50, 29, StatTable50, DynTable50, &SQR_TABLE_50, &QRT_TABLE_50> Field50;
+#endif
+
+#ifdef ENABLE_FIELD_INT_51
+// 51 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5, 5> StatTable51;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable51;
+constexpr StatTable51 SQR_TABLE_51({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x96, 0x258, 0x960, 0x2580, 0x9600, 0x25800, 0x96000, 0x258000, 0x960000, 0x2580000, 0x9600000, 0x25800000, 0x96000000, 0x258000000, 0x960000000, 0x2580000000, 0x9600000000, 0x25800000000, 0x96000000000, 0x258000000000, 0x960000000000, 0x2580000000000, 0x160000000004b, 0x580000000012c, 0x6000000000426});
+constexpr StatTable51 QRT_TABLE_51({0x778bf2703d152, 0x2aaaafbff2092, 0x2aaaafbff2090, 0x4d2119c7e7780, 0x2aaaafbff2094, 0x65de1df8ae194, 0x4d2119c7e7788, 0x67d63d7ba262c, 0x2aaaafbff2084, 0x28ff003f4167c, 0x65de1df8ae1b4, 0x658397fb1d034, 0x4d2119c7e77c8, 0x4d7c9284526ba, 0x67d63d7ba26ac, 0x6666333fc0cbe, 0x2aaaafbff2184, 0x295b807ab55ee, 0x28ff003f4147c, 0x2aaabfffe0016, 0x65de1df8ae5b4, 0x209210349d60, 0x658397fb1d834, 0x4d215dc7cf1c8, 0x4d2119c7e67c8, 0x662b2b3d7b4be, 0x4d7c9284506ba, 0x255af00b36e0, 0x67d63d7ba66ac, 0x65de1fb8ac1a6, 0x6666333fc8cbe, 0x662f3b3ded4be, 0x2aaaafbfe2184, 0x663a9dbc3a426, 0x295b807a955ee, 0x4cdc9ec128928, 0x28ff003f0147c, 0x28a0c93cd511c, 0x2aaabfff60016, 0x65d73cf8e78d4, 0x65de1df9ae5b4, 0x4d5eddc44f1c8, 0x209210149d60, 0x357fcc506c8a, 0x658397ff1d834, 0, 0x4d215dcfcf1c8, 0x63f536f5d4554, 0x4d2119d7e67c8, 0x4000000000022, 0x662b2b1d7b4be});
+typedef Field<uint64_t, 51, 75, StatTable51, DynTable51, &SQR_TABLE_51, &QRT_TABLE_51> Field51;
+#endif
+
+#ifdef ENABLE_FIELD_INT_52
+// 52 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5> StatTable52;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable52;
+constexpr StatTable52 SQR_TABLE_52({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x9, 0x24, 0x90, 0x240, 0x900, 0x2400, 0x9000, 0x24000, 0x90000, 0x240000, 0x900000, 0x2400000, 0x9000000, 0x24000000, 0x90000000, 0x240000000, 0x900000000, 0x2400000000, 0x9000000000, 0x24000000000, 0x90000000000, 0x240000000000, 0x900000000000, 0x2400000000000, 0x9000000000000, 0x4000000000012});
+constexpr StatTable52 QRT_TABLE_52({0xc108165459b0e, 0x10004086, 0x10004084, 0xc00000100104e, 0x10004080, 0x2041810a545b0, 0xc000001001046, 0x1181e055efc0, 0x10004090, 0x40810214390, 0x2041810a54590, 0xc000141019106, 0xc000001001006, 0x10816045ab40, 0x1181e055ef40, 0xc000111015196, 0x10004190, 0xe045c19af44a2, 0x40810214190, 0xe045809ad0532, 0x2041810a54190, 0xdb387a03fe646, 0xc000141019906, 0x2000000800000, 0xc000001000006, 0x2486548199c34, 0x108160458b40, 0x2041808a50534, 0x1181e055af40, 0xc0408312153d6, 0xc00011101d196, 0x21499f0e0eed0, 0x10014190, 0xe15dff9faabe2, 0xe045c19ad44a2, 0xdb787b01ea7d6, 0x40810254190, 0xe484409180532, 0xe045809a50532, 0xc14095164d896, 0x2041810b54190, 0x217dee8fb7a74, 0xdb387a01fe646, 0x441810b54190, 0xc000141419906, 0xc3386e15e7f46, 0x2000000000000, 0x1000141419900, 0xc000000000006, 0, 0x248654a199c34, 0xa48654a199c32});
+typedef Field<uint64_t, 52, 9, StatTable52, DynTable52, &SQR_TABLE_52, &QRT_TABLE_52> Field52;
+#endif
+
+#ifdef ENABLE_FIELD_INT_53
+// 53 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 5> StatTable53;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable53;
+constexpr StatTable53 SQR_TABLE_53({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x8e, 0x238, 0x8e0, 0x2380, 0x8e00, 0x23800, 0x8e000, 0x238000, 0x8e0000, 0x2380000, 0x8e00000, 0x23800000, 0x8e000000, 0x238000000, 0x8e0000000, 0x2380000000, 0x8e00000000, 0x23800000000, 0x8e000000000, 0x238000000000, 0x8e0000000000, 0x2380000000000, 0x8e00000000000, 0x3800000000047, 0xe00000000011c, 0x18000000000437});
+constexpr StatTable53 QRT_TABLE_53({0xf940b90844076, 0x1f940b90844052, 0x1f940b90844050, 0x9d2a063b43e64, 0x1f940b90844054, 0x936f69323ec14, 0x9d2a063b43e6c, 0xe12270a88898, 0x1f940b90844044, 0x1f917f00bb5a3c, 0x936f69323ec34, 0x1f622df85b46ee, 0x9d2a063b43e2c, 0x9bc65ab040b66, 0xe12270a88818, 0x958330b931986, 0x1f940b90844144, 0x98e2a06e32e0, 0x1f917f00bb583c, 0x1f877970dc1024, 0x936f69323e834, 0x16cc3c9b1558c2, 0x1f622df85b4eee, 0x16de1c3351dae8, 0x9d2a063b42e2c, 0x1fecdc7855f8ee, 0x9bc65ab042b66, 0x933821b1cb6fe, 0xe12270a8c818, 0x1f675958641c0e, 0x958330b939986, 0x9d97e050e960, 0x1f940b90854144, 0x1f820fa0e38adc, 0x98e2a06c32e0, 0x1650f0e358a010, 0x1f917f00bf583c, 0x1643af4b037a3a, 0x1f877970d41024, 0x1ffe2c281d8c16, 0x936f69333e834, 0xf00d50ffccf8, 0x16cc3c9b3558c2, 0x16bc31cbca943a, 0x1f622df81b4eee, 0xa6cbd8007232, 0x16de1c33d1dae8, 0x15d2a062b42e10, 0x9d2a062b42e2c, 0x1aa77896586ca, 0x1fecdc7a55f8ee, 0, 0x9bc65af042b66});
+typedef Field<uint64_t, 53, 71, StatTable53, DynTable53, &SQR_TABLE_53, &QRT_TABLE_53> Field53;
+#endif
+
+#ifdef ENABLE_FIELD_INT_54
+// 54 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6> StatTable54;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable54;
+constexpr StatTable54 SQR_TABLE_54({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x201, 0x804, 0x2010, 0x8040, 0x20100, 0x80400, 0x201000, 0x804000, 0x2010000, 0x8040000, 0x20100000, 0x80400000, 0x201000000, 0x804000000, 0x2010000000, 0x8040000000, 0x20100000000, 0x80400000000, 0x201000000000, 0x804000000000, 0x2010000000000, 0x8040000000000, 0x20100000000000, 0x400000000402, 0x1000000001008, 0x4000000004020, 0x10000000010080});
+constexpr StatTable54 QRT_TABLE_54({0x201008000200, 0x26c10916494994, 0x26c10916494996, 0x40008008, 0x26c10916494992, 0x141a2434c12d12, 0x40008000, 0x36c00110594c22, 0x26c10916494982, 0x200000040200, 0x141a2434c12d32, 0x10010816104534, 0x40008040, 0x36da60b01308b2, 0x36c00110594ca2, 0x48200209000, 0x26c10916494882, 0x41b6da2d86106, 0x200000040000, 0x32db2c228965b0, 0x141a2434c12932, 0x9000000200048, 0x10010816104d34, 0x32db68b2832da4, 0x40009040, 0x40045928b4902, 0x36da60b01328b2, 0x1000040000, 0x36c00110590ca2, 0x101b69865a4120, 0x48200201000, 0x22da6434912884, 0x26c10916484882, 0x9000240208008, 0x41b6da2da6106, 0x22c14484c20180, 0x200000000000, 0x4016db29b6812, 0x32db2c228165b0, 0x9008200201048, 0x141a2434d12932, 0x32c36ca2c264b0, 0x9000000000048, 0x140a65b48a2c32, 0x10010816504d34, 0, 0x32db68b2032da4, 0x404490824814, 0x41009040, 0x14da60a4536126, 0x40045908b4902, 0x8000041009008, 0x36da60b41328b2, 0x6db68b2032c12});
+typedef Field<uint64_t, 54, 513, StatTable54, DynTable54, &SQR_TABLE_54, &QRT_TABLE_54> Field54;
+#endif
+
+#ifdef ENABLE_FIELD_INT_55
+// 55 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5> StatTable55;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable55;
+constexpr StatTable55 SQR_TABLE_55({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x102, 0x408, 0x1020, 0x4080, 0x10200, 0x40800, 0x102000, 0x408000, 0x1020000, 0x4080000, 0x10200000, 0x40800000, 0x102000000, 0x408000000, 0x1020000000, 0x4080000000, 0x10200000000, 0x40800000000, 0x102000000000, 0x408000000000, 0x1020000000000, 0x4080000000000, 0x10200000000000, 0x40800000000000, 0x2000000000102, 0x8000000000408, 0x20000000001020});
+constexpr StatTable55 QRT_TABLE_55({0, 0x121d57b6623fde, 0x121d57b6623fdc, 0x68908340d10e00, 0x121d57b6623fd8, 0x100300510e20, 0x68908340d10e08, 0x10004096, 0x121d57b6623fc8, 0x100010000, 0x100300510e00, 0x7ea8c890a088e8, 0x68908340d10e48, 0x68809540871648, 0x10004016, 0x68808000808068, 0x121d57b6623ec8, 0x68909240d41c48, 0x100010200, 0x6884c170ad0216, 0x100300510a00, 0x68848160a50200, 0x7ea8c890a080e8, 0x7eecbca04ab4b6, 0x68908340d11e48, 0x120c54b62234c8, 0x68809540873648, 0x69929240d61c48, 0x10000016, 0x68808060800000, 0x68808000800068, 0x80000080, 0x121d57b6633ec8, 0x7ea8cb90a18ae8, 0x68909240d61c48, 0x16284090200080, 0x100050200, 0x474302a345e, 0x6884c170a50216, 0x166cbca0cab4de, 0x100300410a00, 0x1000000000000, 0x68848160850200, 0x688cc1f0a50296, 0x7ea8c890e080e8, 0x7e8cc1f0a50280, 0x7eecbca0cab4b6, 0x68000000000068, 0x68908341d11e48, 0x7880954487365e, 0x120c54b42234c8, 0x9929248d61c20, 0x68809544873648, 0x41121208561c20, 0x69929248d61c48});
+typedef Field<uint64_t, 55, 129, StatTable55, DynTable55, &SQR_TABLE_55, &QRT_TABLE_55> Field55;
+#endif
+
+#ifdef ENABLE_FIELD_INT_56
+// 56 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5> StatTable56;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable56;
+constexpr StatTable56 SQR_TABLE_56({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x95, 0x254, 0x950, 0x2540, 0x9500, 0x25400, 0x95000, 0x254000, 0x950000, 0x2540000, 0x9500000, 0x25400000, 0x95000000, 0x254000000, 0x950000000, 0x2540000000, 0x9500000000, 0x25400000000, 0x95000000000, 0x254000000000, 0x950000000000, 0x2540000000000, 0x9500000000000, 0x25400000000000, 0x95000000000000, 0x5400000000012a, 0x5000000000043d, 0x40000000001061});
+constexpr StatTable56 QRT_TABLE_56({0x10004084, 0xd058f12fd5925e, 0xd058f12fd5925c, 0x41a60b5566d9f0, 0xd058f12fd59258, 0xbda60a142740ba, 0x41a60b5566d9f8, 0xd059f1afc5e688, 0xd058f12fd59248, 0xfc040841615a22, 0xbda60a1427409a, 0xbda60b5426c1ca, 0x41a60b5566d9b8, 0x1a60b4166b950, 0xd059f1afc5e608, 0xfc000041409822, 0xd058f12fd59348, 0xd1ee7a4ef4185c, 0xfc040841615822, 0x9049759b80b4a4, 0xbda60a1427449a, 0xd258e06f301e18, 0xbda60b5426c9ca, 0x6dfeeb3bf6d7d2, 0x41a60b5566c9b8, 0xbdef3ed4ae398a, 0x1a60b41669950, 0xd1ef3f8eeff04c, 0xd059f1afc5a608, 0xbda203340783de, 0xfc000041401822, 0x2dfefbaff2b27a, 0xd058f12fd49348, 0xfdb788a0706776, 0xd1ee7a4ef6185c, 0x2e5de0ae41337a, 0xfc040841655822, 0x41eb17d5ceecf8, 0x9049759b88b4a4, 0x40048874211afc, 0xbda60a1437449a, 0xd04a720f93400c, 0xd258e06f101e18, 0xbc559cf5ac7fce, 0xbda60b5466c9ca, 0x6dc9759b88b4d6, 0x6dfeeb3b76d7d2, 0x92feea7b275af0, 0x41a60b5466c9b8, 0, 0xbdef3ed6ae398a, 0x2811d5edd8ee2a, 0x1a60b45669950, 0xb1a60b5466c9ca, 0xd1ef3f86eff04c, 0xec493582c8f032});
+typedef Field<uint64_t, 56, 149, StatTable56, DynTable56, &SQR_TABLE_56, &QRT_TABLE_56> Field56;
+#endif
+}
+
+Sketch* ConstructGeneric7Bytes(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_49
+ case 49: return new SketchImpl<Field49>(implementation, 49);
+#endif
+#ifdef ENABLE_FIELD_INT_50
+ case 50: return new SketchImpl<Field50>(implementation, 50);
+#endif
+#ifdef ENABLE_FIELD_INT_51
+ case 51: return new SketchImpl<Field51>(implementation, 51);
+#endif
+#ifdef ENABLE_FIELD_INT_52
+ case 52: return new SketchImpl<Field52>(implementation, 52);
+#endif
+#ifdef ENABLE_FIELD_INT_53
+ case 53: return new SketchImpl<Field53>(implementation, 53);
+#endif
+#ifdef ENABLE_FIELD_INT_54
+ case 54: return new SketchImpl<Field54>(implementation, 54);
+#endif
+#ifdef ENABLE_FIELD_INT_55
+ case 55: return new SketchImpl<Field55>(implementation, 55);
+#endif
+#ifdef ENABLE_FIELD_INT_56
+ case 56: return new SketchImpl<Field56>(implementation, 56);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_8bytes.cpp b/src/minisketch/src/fields/generic_8bytes.cpp
new file mode 100644
index 0000000000..8bb63e8d3e
--- /dev/null
+++ b/src/minisketch/src/fields/generic_8bytes.cpp
@@ -0,0 +1,124 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+/* This file was substantially auto-generated by doc/gen_params.sage. */
+#include "../fielddefines.h"
+
+#if defined(ENABLE_FIELD_BYTES_INT_8)
+
+#include "generic_common_impl.h"
+
+#include "../lintrans.h"
+#include "../sketch_impl.h"
+
+#endif
+
+#include "../sketch.h"
+
+namespace {
+#ifdef ENABLE_FIELD_INT_57
+// 57 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5> StatTable57;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable57;
+constexpr StatTable57 SQR_TABLE_57({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x22, 0x88, 0x220, 0x880, 0x2200, 0x8800, 0x22000, 0x88000, 0x220000, 0x880000, 0x2200000, 0x8800000, 0x22000000, 0x88000000, 0x220000000, 0x880000000, 0x2200000000, 0x8800000000, 0x22000000000, 0x88000000000, 0x220000000000, 0x880000000000, 0x2200000000000, 0x8800000000000, 0x22000000000000, 0x88000000000000, 0x20000000000011, 0x80000000000044});
+constexpr StatTable57 QRT_TABLE_57({0xd0c3a82c902426, 0x232aa54103915e, 0x232aa54103915c, 0x1763e291e61699c, 0x232aa541039158, 0x1f424d678bb15e, 0x1763e291e616994, 0x26fd8122f10d36, 0x232aa541039148, 0x1e0a0206002000, 0x1f424d678bb17e, 0x5d72563f39d7e, 0x1763e291e6169d4, 0x1519beb9d597df4, 0x26fd8122f10db6, 0x150c3a87c90e4aa, 0x232aa541039048, 0x15514891f6179d4, 0x1e0a0206002200, 0x14ec9ba7a94c6aa, 0x1f424d678bb57e, 0x1e0f4286382420, 0x5d72563f3957e, 0x4000080000, 0x1763e291e6179d4, 0x1ac0e804882000, 0x1519beb9d595df4, 0x1f430d6793b57e, 0x26fd8122f14db6, 0x3c68e806882000, 0x150c3a87c9064aa, 0x1484fe18b915e, 0x232aa541029048, 0x14f91eb9b595df4, 0x15514891f6379d4, 0x48f6a82380420, 0x1e0a0206042200, 0x14b1beb99595df4, 0x14ec9ba7a9cc6aa, 0x4cf2a82b00420, 0x1f424d679bb57e, 0x26aa0002000000, 0x1e0f4286182420, 0x173f1039dd17df4, 0x5d72563b3957e, 0x4aa0002000000, 0x4000880000, 0x16d31eb9b595df4, 0x1763e291f6179d4, 0x20000000000000, 0x1ac0e806882000, 0x2caa0002000000, 0x1519beb99595df4, 0, 0x1f430d6f93b57e, 0x73e90d6d93b57e, 0x26fd8132f14db6});
+typedef Field<uint64_t, 57, 17, StatTable57, DynTable57, &SQR_TABLE_57, &QRT_TABLE_57> Field57;
+#endif
+
+#ifdef ENABLE_FIELD_INT_58
+// 58 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5> StatTable58;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable58;
+constexpr StatTable58 SQR_TABLE_58({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x80001, 0x200004, 0x800010, 0x2000040, 0x8000100, 0x20000400, 0x80001000, 0x200004000, 0x800010000, 0x2000040000, 0x8000100000, 0x20000400000, 0x80001000000, 0x200004000000, 0x800010000000, 0x2000040000000, 0x8000100000000, 0x20000400000000, 0x80001000000000, 0x200004000000000, 0x10000100002, 0x40000400008, 0x100001000020, 0x400004000080, 0x1000010000200, 0x4000040000800, 0x10000100002000, 0x40000400008000, 0x100001000020000});
+constexpr StatTable58 QRT_TABLE_58({0x2450096792a5c5c, 0x610014271011c, 0x610014271011e, 0x1f0cb811314ea88, 0x610014271011a, 0x8000000420, 0x1f0cb811314ea80, 0x265407ad8a20bcc, 0x610014271010a, 0x3d18be98392ebd0, 0x8000000400, 0xc29b930e407056, 0x1f0cb811314eac0, 0x1fcef001154dee8, 0x265407ad8a20b4c, 0xc69b924c61f94a, 0x610014271000a, 0x211006895845190, 0x3d18be98392e9d0, 0x54007accac09cc, 0x8000000000, 0xc08b934e107854, 0xc29b930e407856, 0x275407adc220bcc, 0x1f0cb811314fac0, 0x1f6db815164ea8a, 0x1fcef001154fee8, 0x1b2db801945e396, 0x265407ad8a24b4c, 0x21100ec95865590, 0xc69b924c61794a, 0x273507b1e530ad6, 0x610014270000a, 0x1b4cb835b34e29c, 0x211006895865190, 0x3839bf20d47e016, 0x3d18be98396e9d0, 0x3858bd34f36e01c, 0x54007acca409cc, 0, 0x8000100000, 0xc29a130e507856, 0xc08b934e307854, 0x13253921d448296, 0xc29b930e007856, 0x13c60935f6486bc, 0x275407adca20bcc, 0x3571be8c5e6c9da, 0x1f0cb811214fac0, 0x410014261011c, 0x1f6db815364ea8a, 0x13a50921d1486b6, 0x1fcef001554fee8, 0x64001249245a5c, 0x1b2db801145e396, 0x8610014670200a, 0x265407ac8a24b4c, 0x1a5cbfbdeb0f30c});
+typedef Field<uint64_t, 58, 524289, StatTable58, DynTable58, &SQR_TABLE_58, &QRT_TABLE_58> Field58;
+#endif
+
+#ifdef ENABLE_FIELD_INT_59
+// 59 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5> StatTable59;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable59;
+constexpr StatTable59 SQR_TABLE_59({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x12a, 0x4a8, 0x12a0, 0x4a80, 0x12a00, 0x4a800, 0x12a000, 0x4a8000, 0x12a0000, 0x4a80000, 0x12a00000, 0x4a800000, 0x12a000000, 0x4a8000000, 0x12a0000000, 0x4a80000000, 0x12a00000000, 0x4a800000000, 0x12a000000000, 0x4a8000000000, 0x12a0000000000, 0x4a80000000000, 0x12a00000000000, 0x4a800000000000, 0x12a000000000000, 0x4a8000000000000, 0x2a000000000012a, 0x28000000000043d, 0x200000000001061});
+constexpr StatTable59 QRT_TABLE_59({0x38d905ab028567a, 0x789fa6ed3b44d72, 0x789fa6ed3b44d70, 0x74ec857e93d828c, 0x789fa6ed3b44d74, 0x116b3c1203c96, 0x74ec857e93d8284, 0xc25ebc3871e280, 0x789fa6ed3b44d64, 0x47a37c3d910b6, 0x116b3c1203cb6, 0xc7322d7a8f48de, 0x74ec857e93d82c4, 0xb509a0ea52e496, 0xc25ebc3871e200, 0x74fdee4681d3e0c, 0x789fa6ed3b44c64, 0x7ffbbd080b2f09a, 0x47a37c3d912b6, 0xd5c937bae506c8, 0x116b3c12038b6, 0xb173c76987625e, 0xc7322d7a8f40de, 0x7591ff36b3a682c, 0x74ec857e93d92c4, 0x72b253bfbfc90c4, 0xb509a0ea52c496, 0x79f2e7b10e6d452, 0xc25ebc3871a200, 0x78c86e951086aac, 0x74fdee4681dbe0c, 0x78c96eb514c602c, 0x789fa6ed3b54c64, 0xc34818b95658e8, 0x7ffbbd080b0f09a, 0x7399f563b1980f2, 0x47a37c3dd12b6, 0xa29e0e28c58880, 0xd5c937baed06c8, 0x788ac23520ac82c, 0x116b3c13038b6, 0xa2c857e83d92b6, 0xb173c769a7625e, 0x608da990122e48, 0xc7322d7acf40de, 0xa3a89269eebefe, 0x7591ff36bba682c, 0xa25ebc2871a200, 0x74ec857e83d92c4, 0x11f62e419f1cfe, 0x72b253bf9fc90c4, 0x7425ebc2871a272, 0xb509a0ee52c496, 0x4ed8555979c8de, 0x79f2e7b18e6d452, 0x6c3580d5915d4d2, 0xc25ebc2871a200, 0, 0x78c86e971086aac});
+typedef Field<uint64_t, 59, 149, StatTable59, DynTable59, &SQR_TABLE_59, &QRT_TABLE_59> Field59;
+#endif
+
+#ifdef ENABLE_FIELD_INT_60
+// 60 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6> StatTable60;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable60;
+constexpr StatTable60 SQR_TABLE_60({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x3, 0xc, 0x30, 0xc0, 0x300, 0xc00, 0x3000, 0xc000, 0x30000, 0xc0000, 0x300000, 0xc00000, 0x3000000, 0xc000000, 0x30000000, 0xc0000000, 0x300000000, 0xc00000000, 0x3000000000, 0xc000000000, 0x30000000000, 0xc0000000000, 0x300000000000, 0xc00000000000, 0x3000000000000, 0xc000000000000, 0x30000000000000, 0xc0000000000000, 0x300000000000000, 0xc00000000000000});
+constexpr StatTable60 QRT_TABLE_60({0x6983c00fe00104a, 0x804570322e054e6, 0x804570322e054e4, 0x15673387e0a4e4, 0x804570322e054e0, 0x100010110, 0x15673387e0a4ec, 0x920d01f34442a70, 0x804570322e054f0, 0x7a8dc0f2e4058f0, 0x100010130, 0x120c01f140462f0, 0x15673387e0a4ac, 0x7bdbb2ca9a4fe5c, 0x920d01f34442af0, 0xe9c6b039ce0c4ac, 0x804570322e055f0, 0xfac8b080ca20c00, 0x7a8dc0f2e405af0, 0x7a8dc4b2e4a59f0, 0x100010530, 0x10000100000, 0x120c01f14046af0, 0x131a02d91c5db6c, 0x15673387e0b4ac, 0x15623387d0b4ac, 0x7bdbb2ca9a4de5c, 0x7ffbbbca0a8ee5c, 0x920d01f34446af0, 0x800000020000000, 0xe9c6b039ce044ac, 0x81130302500f000, 0x804570322e155f0, 0x935b72eb3a48e9c, 0xfac8b080ca00c00, 0x120c016140563c0, 0x7a8dc0f2e445af0, 0x7bcbb3ca8a4ee5c, 0x7a8dc4b2e4259f0, 0xc4000a0300, 0x100110530, 0x11623285c1b19c, 0x10000300000, 0x420890090c3000, 0x120c01f14446af0, 0x68d7b33b9e0b4ac, 0x131a02d9145db6c, 0xe8ccb1e18a56fc0, 0x15673386e0b4ac, 0x7aadc8f2e485af0, 0x15623385d0b4ac, 0x4a0990093c3000, 0x7bdbb2cada4de5c, 0xf9d6b3389e0b4ac, 0x7ffbbbca8a8ee5c, 0xdf6ba38cec84ac, 0x920d01f24446af0, 0x520d01f24446af0, 0x800000000000000, 0});
+typedef Field<uint64_t, 60, 3, StatTable60, DynTable60, &SQR_TABLE_60, &QRT_TABLE_60> Field60;
+#endif
+
+#ifdef ENABLE_FIELD_INT_61
+// 61 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5> StatTable61;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3> DynTable61;
+constexpr StatTable61 SQR_TABLE_61({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x4e, 0x138, 0x4e0, 0x1380, 0x4e00, 0x13800, 0x4e000, 0x138000, 0x4e0000, 0x1380000, 0x4e00000, 0x13800000, 0x4e000000, 0x138000000, 0x4e0000000, 0x1380000000, 0x4e00000000, 0x13800000000, 0x4e000000000, 0x138000000000, 0x4e0000000000, 0x1380000000000, 0x4e00000000000, 0x13800000000000, 0x4e000000000000, 0x138000000000000, 0x4e0000000000000, 0x1380000000000000, 0xe0000000000004e, 0x180000000000011f});
+constexpr StatTable61 QRT_TABLE_61({0x171d34fcdac955d0, 0x12cfc8c049e1c96, 0x12cfc8c049e1c94, 0x71d34fcdac955c2, 0x12cfc8c049e1c90, 0x631c871de564852, 0x71d34fcdac955ca, 0x129fa6407f27300, 0x12cfc8c049e1c80, 0x7094f6fdd0a3b12, 0x631c871de564872, 0xdb28cee59c8256a, 0x71d34fcdac9558a, 0xc8a0be15a915472, 0x129fa6407f27380, 0x12dfcb4058e0b80, 0x12cfc8c049e1d80, 0x117d7f04ad0118, 0x7094f6fdd0a3912, 0x621b576dbe35b6a, 0x631c871de564c72, 0x13c808a013a1ee0, 0xdb28cee59c82d6a, 0x113d79842a0272, 0x71d34fcdac9458a, 0x719776b580b6a98, 0xc8a0be15a917472, 0x6633498d6db760a, 0x129fa6407f23380, 0xbd4ae9e8c3e7560, 0x12dfcb4058e8b80, 0x8000000a, 0x12cfc8c049f1d80, 0x634ce9add3b26ea, 0x117d7f04af0118, 0xda3f19c5d66258a, 0x7094f6fdd0e3912, 0xb87427e85e71560, 0x621b576dbeb5b6a, 0xc8b0b085b8c4e0a, 0x631c871de464c72, 0x1538fc8649458a, 0x13c808a011a1ee0, 0xcddbca6d1cfe360, 0xdb28cee59882d6a, 0xae80f550d1ffff2, 0x113d7984aa0272, 0xda7770f5f195912, 0x71d34fcdbc9458a, 0x137c8a049a1ee0, 0x719776b5a0b6a98, 0xded39a9d236ba78, 0xc8a0be15e917472, 0x6732488ca7ce0a, 0x6633498dedb760a, 0xc0406d0527cb80a, 0x129fa6417f23380, 0x3d4ae9eac3e756a, 0xbd4ae9eac3e7560, 0, 0x12dfcb4458e8b80});
+typedef Field<uint64_t, 61, 39, StatTable61, DynTable61, &SQR_TABLE_61, &QRT_TABLE_61> Field61;
+#endif
+
+#ifdef ENABLE_FIELD_INT_62
+// 62 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5> StatTable62;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3> DynTable62;
+constexpr StatTable62 SQR_TABLE_62({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x20000001, 0x80000004, 0x200000010, 0x800000040, 0x2000000100, 0x8000000400, 0x20000001000, 0x80000004000, 0x200000010000, 0x800000040000, 0x2000000100000, 0x8000000400000, 0x20000001000000, 0x80000004000000, 0x200000010000000, 0x800000040000000, 0x2000000100000000, 0x440000002, 0x1100000008, 0x4400000020, 0x11000000080, 0x44000000200, 0x110000000800, 0x440000002000, 0x1100000008000, 0x4400000020000, 0x11000000080000, 0x44000000200000, 0x110000000800000, 0x440000002000000, 0x1100000008000000});
+constexpr StatTable62 QRT_TABLE_62({0x30268b6fba455d2c, 0x200000006, 0x200000004, 0x3d67cb6c1fe66c76, 0x200000000, 0x3fc4f1901abfa400, 0x3d67cb6c1fe66c7e, 0x35e79b6c0a66bcbe, 0x200000010, 0x1e9372bc57a9941e, 0x3fc4f1901abfa420, 0x21ec9d424957a5b0, 0x3d67cb6c1fe66c3e, 0x1cb35a6e52f5fb0e, 0x35e79b6c0a66bc3e, 0x215481024c13a730, 0x200000110, 0x1c324a6c52f75b08, 0x1e9372bc57a9961e, 0x3764a9d00f676820, 0x3fc4f1901abfa020, 0x355481020e132730, 0x21ec9d424957adb0, 0x3c43c32c0f34301e, 0x3d67cb6c1fe67c3e, 0x1496122c45259728, 0x1cb35a6e52f5db0e, 0x15e418405b72ec20, 0x35e79b6c0a66fc3e, 0x30268b6e3a445c38, 0x215481024c132730, 0x100010114, 0x200010110, 0, 0x1c324a6c52f55b08, 0x215581044d133776, 0x1e9372bc57ad961e, 0x2155810e4d133766, 0x3764a9d00f6f6820, 0x2157833c4d12323e, 0x3fc4f1901aafa020, 0x1c324a4252f55b58, 0x355481020e332730, 0x28332fc0509d41e, 0x21ec9d424917adb0, 0x215783be4d12332e, 0x3c43c32c0fb4301e, 0x2157822c4d06363e, 0x3d67cb6c1ee67c3e, 0x23f6b9d2484afb78, 0x1496122c47259728, 0x14b8184047648a80, 0x1cb35a6e56f5db0e, 0x3fe4f1901aefa820, 0x15e418405372ec20, 0x3d5fd72c1be276be, 0x35e79b6c1a66fc3e, 0x14b038d24774cf10, 0x30268b6e1a445c38, 0x1d17022e43a7172e, 0x215481020c132730, 0x2157022e4d07372e});
+typedef Field<uint64_t, 62, 536870913, StatTable62, DynTable62, &SQR_TABLE_62, &QRT_TABLE_62> Field62;
+#endif
+
+#ifdef ENABLE_FIELD_INT_63
+// 63 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5> StatTable63;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3> DynTable63;
+constexpr StatTable63 SQR_TABLE_63({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x4000000000000000, 0x6, 0x18, 0x60, 0x180, 0x600, 0x1800, 0x6000, 0x18000, 0x60000, 0x180000, 0x600000, 0x1800000, 0x6000000, 0x18000000, 0x60000000, 0x180000000, 0x600000000, 0x1800000000, 0x6000000000, 0x18000000000, 0x60000000000, 0x180000000000, 0x600000000000, 0x1800000000000, 0x6000000000000, 0x18000000000000, 0x60000000000000, 0x180000000000000, 0x600000000000000, 0x1800000000000000, 0x6000000000000000});
+constexpr StatTable63 QRT_TABLE_63({0, 0x100010114, 0x100010116, 0x1001701051372, 0x100010112, 0x1000040220, 0x100170105137a, 0x5107703453bba, 0x100010102, 0x101130117155a, 0x1000040200, 0x40000200800, 0x100170105133a, 0x103151a137276d8, 0x5107703453b3a, 0x134e65fc7c222be0, 0x100010002, 0x100030103115a, 0x101130117175a, 0x106052d103f4de2, 0x1000040600, 0x15122707691d3a, 0x40000200000, 0x4530770bc57b3a, 0x100170105033a, 0x103011a131256d8, 0x103151a137256d8, 0x176f29eb55c7a8da, 0x5107703457b3a, 0x130b158b7767d0da, 0x134e65fc7c22abe0, 0x7bcaf59d2f62d3e2, 0x100000002, 0x1001401041260, 0x100030101115a, 0x5107e03443ab8, 0x101130113175a, 0x1043701251b3a, 0x106052d10374de2, 0x134e657d7c232be2, 0x1000140600, 0x106073d103b4be2, 0x15122707491d3a, 0x4438600ac07800, 0x40000600000, 0x176a199c5682d3e0, 0x4530770b457b3a, 0x7bca759c2f62d3e0, 0x100170005033a, 0x6116d02572de2, 0x103011a111256d8, 0x1346656d7c372de2, 0x103151a177256d8, 0x643c600aa07800, 0x176f29eb5dc7a8da, 0x7b4b758b2f67d0da, 0x5107713457b3a, 0x104570776b457b3a, 0x130b158b5767d0da, 0x734e65fc3c22abe0, 0x134e65fc3c22abe0, 0x4000000000000000, 0x7bcaf59daf62d3e2});
+typedef Field<uint64_t, 63, 3, StatTable63, DynTable63, &SQR_TABLE_63, &QRT_TABLE_63> Field63;
+#endif
+
+#ifdef ENABLE_FIELD_INT_64
+// 64 bit field
+typedef RecLinTrans<uint64_t, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5> StatTable64;
+typedef RecLinTrans<uint64_t, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4> DynTable64;
+constexpr StatTable64 SQR_TABLE_64({0x1, 0x4, 0x10, 0x40, 0x100, 0x400, 0x1000, 0x4000, 0x10000, 0x40000, 0x100000, 0x400000, 0x1000000, 0x4000000, 0x10000000, 0x40000000, 0x100000000, 0x400000000, 0x1000000000, 0x4000000000, 0x10000000000, 0x40000000000, 0x100000000000, 0x400000000000, 0x1000000000000, 0x4000000000000, 0x10000000000000, 0x40000000000000, 0x100000000000000, 0x400000000000000, 0x1000000000000000, 0x4000000000000000, 0x1b, 0x6c, 0x1b0, 0x6c0, 0x1b00, 0x6c00, 0x1b000, 0x6c000, 0x1b0000, 0x6c0000, 0x1b00000, 0x6c00000, 0x1b000000, 0x6c000000, 0x1b0000000, 0x6c0000000, 0x1b00000000, 0x6c00000000, 0x1b000000000, 0x6c000000000, 0x1b0000000000, 0x6c0000000000, 0x1b00000000000, 0x6c00000000000, 0x1b000000000000, 0x6c000000000000, 0x1b0000000000000, 0x6c0000000000000, 0x1b00000000000000, 0x6c00000000000000, 0xb00000000000001b, 0xc00000000000005a});
+constexpr StatTable64 QRT_TABLE_64({0x19c9369f278adc02, 0x84b2b22ab2383ee4, 0x84b2b22ab2383ee6, 0x9d7b84b495b3e3f6, 0x84b2b22ab2383ee2, 0x37c470b49213f790, 0x9d7b84b495b3e3fe, 0x1000a0105137c, 0x84b2b22ab2383ef2, 0x368e964a8edce1fc, 0x37c470b49213f7b0, 0x19c9368e278fdf4c, 0x9d7b84b495b3e3be, 0x2e4da23cbc7d4570, 0x1000a010513fc, 0x84f35772bac24232, 0x84b2b22ab2383ff2, 0x37c570ba9314e4fc, 0x368e964a8edce3fc, 0xb377c390213cdb0e, 0x37c470b49213f3b0, 0x85ed5a3aa99c24f2, 0x19c9368e278fd74c, 0xaabff0000780000e, 0x9d7b84b495b3f3be, 0x84b6b3dab03038f2, 0x2e4da23cbc7d6570, 0x511ea03494ffc, 0x1000a010553fc, 0xae0c0220343c6c0e, 0x84f35772bac2c232, 0x800000008000000e, 0x84b2b22ab2393ff2, 0xb376c29c202bc97e, 0x37c570ba9316e4fc, 0x9c3062488879e6ce, 0x368e964a8ed8e3fc, 0x41e42c08e47e70, 0xb377c3902134db0e, 0x85b9b108a60f56ce, 0x37c470b49203f3b0, 0x19dd3b6e21f3cb4c, 0x85ed5a3aa9bc24f2, 0x198ddf682c428ac0, 0x19c9368e27cfd74c, 0x4b7c68431ca84b0, 0xaabff0000700000e, 0x8040655489ffefbe, 0x9d7b84b494b3f3be, 0x18c1354e32bfa74c, 0x84b6b3dab23038f2, 0xaaf613cc0f74627e, 0x2e4da23cb87d6570, 0x3248b3d6b3342a8c, 0x511ea0b494ffc, 0xb60813c00e70700e, 0x1000a110553fc, 0x1e0d022a05393ffc, 0xae0c0220143c6c0e, 0xe0c0220143c6c00, 0x84f35772fac2c232, 0xc041e55948fbfdce, 0x800000000000000e, 0});
+typedef Field<uint64_t, 64, 27, StatTable64, DynTable64, &SQR_TABLE_64, &QRT_TABLE_64> Field64;
+#endif
+}
+
+Sketch* ConstructGeneric8Bytes(int bits, int implementation)
+{
+ switch (bits) {
+#ifdef ENABLE_FIELD_INT_57
+ case 57: return new SketchImpl<Field57>(implementation, 57);
+#endif
+#ifdef ENABLE_FIELD_INT_58
+ case 58: return new SketchImpl<Field58>(implementation, 58);
+#endif
+#ifdef ENABLE_FIELD_INT_59
+ case 59: return new SketchImpl<Field59>(implementation, 59);
+#endif
+#ifdef ENABLE_FIELD_INT_60
+ case 60: return new SketchImpl<Field60>(implementation, 60);
+#endif
+#ifdef ENABLE_FIELD_INT_61
+ case 61: return new SketchImpl<Field61>(implementation, 61);
+#endif
+#ifdef ENABLE_FIELD_INT_62
+ case 62: return new SketchImpl<Field62>(implementation, 62);
+#endif
+#ifdef ENABLE_FIELD_INT_63
+ case 63: return new SketchImpl<Field63>(implementation, 63);
+#endif
+#ifdef ENABLE_FIELD_INT_64
+ case 64: return new SketchImpl<Field64>(implementation, 64);
+#endif
+ default: return nullptr;
+ }
+}
diff --git a/src/minisketch/src/fields/generic_common_impl.h b/src/minisketch/src/fields/generic_common_impl.h
new file mode 100644
index 0000000000..1d1d030b5f
--- /dev/null
+++ b/src/minisketch/src/fields/generic_common_impl.h
@@ -0,0 +1,70 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_FIELDS_GENERIC_COMMON_IMPL_H_
+#define _MINISKETCH_FIELDS_GENERIC_COMMON_IMPL_H_ 1
+
+#include <stdint.h>
+
+#include "../int_utils.h"
+#include "../lintrans.h"
+
+namespace {
+
+/** Generic implementation for fields whose elements can be represented by an integer type. */
+template<typename I, int B, uint32_t MOD, typename F, typename T, const F* SQR, const F* QRT> class Field
+{
+ typedef BitsInt<I, B> O;
+ typedef LFSR<O, MOD> L;
+
+public:
+ typedef I Elem;
+ constexpr int Bits() const { return B; }
+
+ constexpr inline Elem Mul2(Elem val) const { return L::Call(val); }
+
+ class Multiplier
+ {
+ T table;
+ public:
+ explicit Multiplier(const Field&, Elem a) { table.template Build<L::Call>(a); }
+ constexpr inline Elem operator()(Elem a) const { return table.template Map<O>(a); }
+ };
+
+ Elem Mul(Elem a, Elem b) const { return GFMul<I, B, L, O>(a, b); }
+
+ /** Compute the square of a. */
+ inline constexpr Elem Sqr(Elem a) const { return SQR->template Map<O>(a); }
+
+ /** Compute x such that x^2 + x = a (undefined result if no solution exists). */
+ inline constexpr Elem Qrt(Elem a) const { return QRT->template Map<O>(a); }
+
+ /** Compute the inverse of x1. */
+ Elem Inv(Elem a) const { return InvExtGCD<I, O, B, MOD>(a); }
+
+ /** Generate a random field element. */
+ Elem FromSeed(uint64_t seed) const {
+ uint64_t k0 = 0x496e744669656c64ull; // "IntField"
+ uint64_t k1 = seed;
+ uint64_t count = ((uint64_t)B) << 32;
+ Elem ret;
+ do {
+ ret = O::Mask(I(SipHash(k0, k1, count++)));
+ } while(ret == 0);
+ return ret;
+ }
+
+ Elem Deserialize(BitReader& in) const { return in.template Read<B, I>(); }
+
+ void Serialize(BitWriter& out, Elem val) const { out.template Write<B, I>(val); }
+
+ constexpr Elem FromUint64(uint64_t x) const { return O::Mask(I(x)); }
+ constexpr uint64_t ToUint64(Elem val) const { return uint64_t(val); }
+};
+
+}
+
+#endif
diff --git a/src/minisketch/src/int_utils.h b/src/minisketch/src/int_utils.h
new file mode 100644
index 0000000000..62b2c38a29
--- /dev/null
+++ b/src/minisketch/src/int_utils.h
@@ -0,0 +1,290 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_INT_UTILS_H_
+#define _MINISKETCH_INT_UTILS_H_
+
+#include <stdlib.h>
+
+#include <limits>
+#include <algorithm>
+#include <type_traits>
+
+#ifdef _MSC_VER
+# include <intrin.h>
+#endif
+
+template<int bits>
+static constexpr inline uint64_t Rot(uint64_t x) { return (x << bits) | (x >> (64 - bits)); }
+
+static inline void SipHashRound(uint64_t& v0, uint64_t& v1, uint64_t& v2, uint64_t& v3) {
+ v0 += v1; v1 = Rot<13>(v1); v1 ^= v0;
+ v0 = Rot<32>(v0);
+ v2 += v3; v3 = Rot<16>(v3); v3 ^= v2;
+ v0 += v3; v3 = Rot<21>(v3); v3 ^= v0;
+ v2 += v1; v1 = Rot<17>(v1); v1 ^= v2;
+ v2 = Rot<32>(v2);
+}
+
+inline uint64_t SipHash(uint64_t k0, uint64_t k1, uint64_t data) {
+ uint64_t v0 = 0x736f6d6570736575ULL ^ k0;
+ uint64_t v1 = 0x646f72616e646f6dULL ^ k1;
+ uint64_t v2 = 0x6c7967656e657261ULL ^ k0;
+ uint64_t v3 = 0x7465646279746573ULL ^ k1 ^ data;
+ SipHashRound(v0, v1, v2, v3);
+ SipHashRound(v0, v1, v2, v3);
+ v0 ^= data;
+ v3 ^= 0x800000000000000ULL;
+ SipHashRound(v0, v1, v2, v3);
+ SipHashRound(v0, v1, v2, v3);
+ v0 ^= 0x800000000000000ULL;
+ v2 ^= 0xFF;
+ SipHashRound(v0, v1, v2, v3);
+ SipHashRound(v0, v1, v2, v3);
+ SipHashRound(v0, v1, v2, v3);
+ SipHashRound(v0, v1, v2, v3);
+ return v0 ^ v1 ^ v2 ^ v3;
+}
+
+class BitWriter {
+ unsigned char state = 0;
+ int offset = 0;
+ unsigned char* out;
+
+public:
+ BitWriter(unsigned char* output) : out(output) {}
+
+ template<int BITS, typename I>
+ inline void Write(I val) {
+ int bits = BITS;
+ if (bits + offset >= 8) {
+ state |= ((val & ((I(1) << (8 - offset)) - 1)) << offset);
+ *(out++) = state;
+ val >>= (8 - offset);
+ bits -= 8 - offset;
+ offset = 0;
+ state = 0;
+ }
+ while (bits >= 8) {
+ *(out++) = val & 255;
+ val >>= 8;
+ bits -= 8;
+ }
+ state |= ((val & ((I(1) << bits) - 1)) << offset);
+ offset += bits;
+ }
+
+ inline void Flush() {
+ if (offset) {
+ *(out++) = state;
+ state = 0;
+ offset = 0;
+ }
+ }
+};
+
+class BitReader {
+ unsigned char state = 0;
+ int offset = 0;
+ const unsigned char* in;
+
+public:
+ BitReader(const unsigned char* input) : in(input) {}
+
+ template<int BITS, typename I>
+ inline I Read() {
+ int bits = BITS;
+ if (offset >= bits) {
+ I ret = state & ((1 << bits) - 1);
+ state >>= bits;
+ offset -= bits;
+ return ret;
+ }
+ I val = state;
+ int out = offset;
+ while (out + 8 <= bits) {
+ val |= ((I(*(in++))) << out);
+ out += 8;
+ }
+ if (out < bits) {
+ unsigned char c = *(in++);
+ val |= (c & ((I(1) << (bits - out)) - 1)) << out;
+ state = c >> (bits - out);
+ offset = 8 - (bits - out);
+ } else {
+ state = 0;
+ offset = 0;
+ }
+ return val;
+ }
+};
+
+/** Return a value of type I with its `bits` lowest bits set (bits must be > 0). */
+template<int BITS, typename I>
+constexpr inline I Mask() { return ((I((I(-1)) << (std::numeric_limits<I>::digits - BITS))) >> (std::numeric_limits<I>::digits - BITS)); }
+
+/** Compute the smallest power of two that is larger than val. */
+template<typename I>
+static inline int CountBits(I val, int max) {
+#ifdef HAVE_CLZ
+ (void)max;
+ if (val == 0) return 0;
+ if (std::numeric_limits<unsigned>::digits >= std::numeric_limits<I>::digits) {
+ return std::numeric_limits<unsigned>::digits - __builtin_clz(val);
+ } else if (std::numeric_limits<unsigned long>::digits >= std::numeric_limits<I>::digits) {
+ return std::numeric_limits<unsigned long>::digits - __builtin_clzl(val);
+ } else {
+ return std::numeric_limits<unsigned long long>::digits - __builtin_clzll(val);
+ }
+#elif _MSC_VER
+ (void)max;
+ unsigned long index;
+ unsigned char ret;
+ if (std::numeric_limits<I>::digits <= 32) {
+ ret = _BitScanReverse(&index, val);
+ } else {
+ ret = _BitScanReverse64(&index, val);
+ }
+ if (!ret) return 0;
+ return index;
+#else
+ while (max && (val >> (max - 1) == 0)) --max;
+ return max;
+#endif
+}
+
+template<typename I, int BITS>
+class BitsInt {
+private:
+ static_assert(std::is_integral<I>::value && std::is_unsigned<I>::value, "BitsInt requires an unsigned integer type");
+ static_assert(BITS > 0 && BITS <= std::numeric_limits<I>::digits, "BitsInt requires 1 <= Bits <= representation type size");
+
+ static constexpr I MASK = Mask<BITS, I>();
+
+public:
+
+ typedef I Repr;
+
+ static constexpr int SIZE = BITS;
+
+ static void inline Swap(I& a, I& b) {
+ std::swap(a, b);
+ }
+
+ static constexpr inline bool IsZero(I a) { return a == 0; }
+ static constexpr inline I Mask(I val) { return val & MASK; }
+ static constexpr inline I Shift(I val, int bits) { return ((val << bits) & MASK); }
+ static constexpr inline I UnsafeShift(I val, int bits) { return (val << bits); }
+
+ template<int Offset, int Count>
+ static constexpr inline int MidBits(I val) {
+ static_assert(Count > 0, "BITSInt::MidBits needs Count > 0");
+ static_assert(Count + Offset <= BITS, "BitsInt::MidBits overflow of Count+Offset");
+ return (val >> Offset) & ((I(1) << Count) - 1);
+ }
+
+ template<int Count>
+ static constexpr inline int TopBits(I val) {
+ static_assert(Count > 0, "BitsInt::TopBits needs Count > 0");
+ static_assert(Count <= BITS, "BitsInt::TopBits needs Offset <= BITS");
+ return val >> (BITS - Count);
+ }
+
+ static inline constexpr I CondXorWith(I val, bool cond, I v) {
+ return val ^ (-I(cond) & v);
+ }
+
+ template<I MOD>
+ static inline constexpr I CondXorWith(I val, bool cond) {
+ return val ^ (-I(cond) & MOD);
+ }
+
+ static inline int Bits(I val, int max) { return CountBits<I>(val, max); }
+};
+
+/** Class which implements a stateless LFSR for generic moduli. */
+template<typename F, uint32_t MOD>
+struct LFSR {
+ typedef typename F::Repr I;
+ /** Shift a value `a` up once, treating it as an `N`-bit LFSR, with pattern `MOD`. */
+ static inline constexpr I Call(const I& a) {
+ return F::template CondXorWith<MOD>(F::Shift(a, 1), F::template TopBits<1>(a));
+ }
+};
+
+/** Helper class for carryless multiplications. */
+template<typename I, int N, typename L, typename F, int K> struct GFMulHelper;
+template<typename I, int N, typename L, typename F> struct GFMulHelper<I, N, L, F, 0>
+{
+ static inline constexpr I Run(const I& a, const I& b) { return I(0); }
+};
+template<typename I, int N, typename L, typename F, int K> struct GFMulHelper
+{
+ static inline constexpr I Run(const I& a, const I& b) { return F::CondXorWith(GFMulHelper<I, N, L, F, K - 1>::Run(L::Call(a), b), F::template MidBits<N - K, 1>(b), a); }
+};
+
+/** Compute the carry-less multiplication of a and b, with N bits, using L as LFSR type. */
+template<typename I, int N, typename L, typename F> inline constexpr I GFMul(const I& a, const I& b) { return GFMulHelper<I, N, L, F, N>::Run(a, b); }
+
+/** Compute the inverse of x using an extgcd algorithm. */
+template<typename I, typename F, int BITS, uint32_t MOD>
+inline I InvExtGCD(I x)
+{
+ if (F::IsZero(x)) return x;
+ I t(0), newt(1);
+ I r(MOD), newr = x;
+ int rlen = BITS + 1, newrlen = F::Bits(newr, BITS);
+ while (newr) {
+ int q = rlen - newrlen;
+ r ^= F::Shift(newr, q);
+ t ^= F::UnsafeShift(newt, q);
+ rlen = F::Bits(r, rlen - 1);
+ if (r < newr) {
+ F::Swap(t, newt);
+ F::Swap(r, newr);
+ std::swap(rlen, newrlen);
+ }
+ }
+ return t;
+}
+
+/** Compute the inverse of x1 using an exponentiation ladder.
+ *
+ * The `MUL` argument is a multiplication function, `SQR` is a squaring function, and the `SQRi` arguments
+ * compute x**(2**i).
+ */
+template<typename I, typename F, int BITS, I (*MUL)(I, I), I (*SQR)(I), I (*SQR2)(I), I(*SQR4)(I), I(*SQR8)(I), I(*SQR16)(I)>
+inline I InvLadder(I x1)
+{
+ static constexpr int INV_EXP = BITS - 1;
+ I x2 = (INV_EXP >= 2) ? MUL(SQR(x1), x1) : I();
+ I x4 = (INV_EXP >= 4) ? MUL(SQR2(x2), x2) : I();
+ I x8 = (INV_EXP >= 8) ? MUL(SQR4(x4), x4) : I();
+ I x16 = (INV_EXP >= 16) ? MUL(SQR8(x8), x8) : I();
+ I x32 = (INV_EXP >= 32) ? MUL(SQR16(x16), x16) : I();
+ I r;
+ if (INV_EXP >= 32) {
+ r = x32;
+ } else if (INV_EXP >= 16) {
+ r = x16;
+ } else if (INV_EXP >= 8) {
+ r = x8;
+ } else if (INV_EXP >= 4) {
+ r = x4;
+ } else if (INV_EXP >= 2) {
+ r = x2;
+ } else {
+ r = x1;
+ }
+ if (INV_EXP >= 32 && (INV_EXP & 16)) r = MUL(SQR16(r), x16);
+ if (INV_EXP >= 16 && (INV_EXP & 8)) r = MUL(SQR8(r), x8);
+ if (INV_EXP >= 8 && (INV_EXP & 4)) r = MUL(SQR4(r), x4);
+ if (INV_EXP >= 4 && (INV_EXP & 2)) r = MUL(SQR2(r), x2);
+ if (INV_EXP >= 2 && (INV_EXP & 1)) r = MUL(SQR(r), x1);
+ return SQR(r);
+}
+
+#endif
diff --git a/src/minisketch/src/lintrans.h b/src/minisketch/src/lintrans.h
new file mode 100644
index 0000000000..b9d8ea8e1d
--- /dev/null
+++ b/src/minisketch/src/lintrans.h
@@ -0,0 +1,150 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_LINTRANS_H_
+#define _MINISKETCH_LINTRANS_H_
+
+#include "int_utils.h"
+
+/** A type to represent integers in the type system. */
+template<int N> struct Num {};
+
+/** A Linear N-bit transformation over the field I. */
+template<typename I, int N> class LinTrans {
+private:
+ I table[1 << N];
+public:
+ LinTrans() = default;
+
+ /* Construct a transformation over 3 to 8 bits, using the images of each bit. */
+ constexpr LinTrans(I a, I b) : table{I(0), I(a), I(b), I(a ^ b)} {}
+ constexpr LinTrans(I a, I b, I c) : table{I(0), I(a), I(b), I(a ^ b), I(c), I(a ^ c), I(b ^ c), I(a ^ b ^ c)} {}
+ constexpr LinTrans(I a, I b, I c, I d) : table{I(0), I(a), I(b), I(a ^ b), I(c), I(a ^ c), I(b ^ c), I(a ^ b ^ c), I(d), I(a ^ d), I(b ^ d), I(a ^ b ^ d), I(c ^ d), I(a ^ c ^ d), I(b ^ c ^ d), I(a ^ b ^ c ^ d)} {}
+ constexpr LinTrans(I a, I b, I c, I d, I e) : table{I(0), I(a), I(b), I(a ^ b), I(c), I(a ^ c), I(b ^ c), I(a ^ b ^ c), I(d), I(a ^ d), I(b ^ d), I(a ^ b ^ d), I(c ^ d), I(a ^ c ^ d), I(b ^ c ^ d), I(a ^ b ^ c ^ d), I(e), I(a ^ e), I(b ^ e), I(a ^ b ^ e), I(c ^ e), I(a ^ c ^ e), I(b ^ c ^ e), I(a ^ b ^ c ^ e), I(d ^ e), I(a ^ d ^ e), I(b ^ d ^ e), I(a ^ b ^ d ^ e), I(c ^ d ^ e), I(a ^ c ^ d ^ e), I(b ^ c ^ d ^ e), I(a ^ b ^ c ^ d ^ e)} {}
+ constexpr LinTrans(I a, I b, I c, I d, I e, I f) : table{I(0), I(a), I(b), I(a ^ b), I(c), I(a ^ c), I(b ^ c), I(a ^ b ^ c), I(d), I(a ^ d), I(b ^ d), I(a ^ b ^ d), I(c ^ d), I(a ^ c ^ d), I(b ^ c ^ d), I(a ^ b ^ c ^ d), I(e), I(a ^ e), I(b ^ e), I(a ^ b ^ e), I(c ^ e), I(a ^ c ^ e), I(b ^ c ^ e), I(a ^ b ^ c ^ e), I(d ^ e), I(a ^ d ^ e), I(b ^ d ^ e), I(a ^ b ^ d ^ e), I(c ^ d ^ e), I(a ^ c ^ d ^ e), I(b ^ c ^ d ^ e), I(a ^ b ^ c ^ d ^ e), I(f), I(a ^ f), I(b^ f), I(a ^ b ^ f), I(c^ f), I(a ^ c ^ f), I(b ^ c ^ f), I(a ^ b ^ c ^ f), I(d ^ f), I(a ^ d ^ f), I(b ^ d ^ f), I(a ^ b ^ d ^ f), I(c ^ d ^ f), I(a ^ c ^ d ^ f), I(b ^ c ^ d ^ f), I(a ^ b ^ c ^ d ^ f), I(e ^ f), I(a ^ e ^ f), I(b ^ e ^ f), I(a ^ b ^ e ^ f), I(c ^ e ^ f), I(a ^ c ^ e ^ f), I(b ^ c ^ e ^ f), I(a ^ b ^ c ^ e ^ f), I(d ^ e ^ f), I(a ^ d ^ e ^ f), I(b ^ d ^ e ^ f), I(a ^ b ^ d ^ e ^ f), I(c ^ d ^ e ^ f), I(a ^ c ^ d ^ e ^ f), I(b ^ c ^ d ^ e ^ f), I(a ^ b ^ c ^ d ^ e ^ f)} {}
+ constexpr LinTrans(I a, I b, I c, I d, I e, I f, I g) : table{I(0), I(a), I(b), I(a ^ b), I(c), I(a ^ c), I(b ^ c), I(a ^ b ^ c), I(d), I(a ^ d), I(b ^ d), I(a ^ b ^ d), I(c ^ d), I(a ^ c ^ d), I(b ^ c ^ d), I(a ^ b ^ c ^ d), I(e), I(a ^ e), I(b ^ e), I(a ^ b ^ e), I(c ^ e), I(a ^ c ^ e), I(b ^ c ^ e), I(a ^ b ^ c ^ e), I(d ^ e), I(a ^ d ^ e), I(b ^ d ^ e), I(a ^ b ^ d ^ e), I(c ^ d ^ e), I(a ^ c ^ d ^ e), I(b ^ c ^ d ^ e), I(a ^ b ^ c ^ d ^ e), I(f), I(a ^ f), I(b^ f), I(a ^ b ^ f), I(c^ f), I(a ^ c ^ f), I(b ^ c ^ f), I(a ^ b ^ c ^ f), I(d ^ f), I(a ^ d ^ f), I(b ^ d ^ f), I(a ^ b ^ d ^ f), I(c ^ d ^ f), I(a ^ c ^ d ^ f), I(b ^ c ^ d ^ f), I(a ^ b ^ c ^ d ^ f), I(e ^ f), I(a ^ e ^ f), I(b ^ e ^ f), I(a ^ b ^ e ^ f), I(c ^ e ^ f), I(a ^ c ^ e ^ f), I(b ^ c ^ e ^ f), I(a ^ b ^ c ^ e ^ f), I(d ^ e ^ f), I(a ^ d ^ e ^ f), I(b ^ d ^ e ^ f), I(a ^ b ^ d ^ e ^ f), I(c ^ d ^ e ^ f), I(a ^ c ^ d ^ e ^ f), I(b ^ c ^ d ^ e ^ f), I(a ^ b ^ c ^ d ^ e ^ f), I(g), I(a ^ g), I(b ^ g), I(a ^ b ^ g), I(c ^ g), I(a ^ c ^ g), I(b ^ c ^ g), I(a ^ b ^ c ^ g), I(d ^ g), I(a ^ d ^ g), I(b ^ d ^ g), I(a ^ b ^ d ^ g), I(c ^ d ^ g), I(a ^ c ^ d ^ g), I(b ^ c ^ d ^ g), I(a ^ b ^ c ^ d ^ g), I(e ^ g), I(a ^ e ^ g), I(b ^ e ^ g), I(a ^ b ^ e ^ g), I(c ^ e ^ g), I(a ^ c ^ e ^ g), I(b ^ c ^ e ^ g), I(a ^ b ^ c ^ e ^ g), I(d ^ e ^ g), I(a ^ d ^ e ^ g), I(b ^ d ^ e ^ g), I(a ^ b ^ d ^ e ^ g), I(c ^ d ^ e ^ g), I(a ^ c ^ d ^ e ^ g), I(b ^ c ^ d ^ e ^ g), I(a ^ b ^ c ^ d ^ e ^ g), I(f ^ g), I(a ^ f ^ g), I(b^ f ^ g), I(a ^ b ^ f ^ g), I(c^ f ^ g), I(a ^ c ^ f ^ g), I(b ^ c ^ f ^ g), I(a ^ b ^ c ^ f ^ g), I(d ^ f ^ g), I(a ^ d ^ f ^ g), I(b ^ d ^ f ^ g), I(a ^ b ^ d ^ f ^ g), I(c ^ d ^ f ^ g), I(a ^ c ^ d ^ f ^ g), I(b ^ c ^ d ^ f ^ g), I(a ^ b ^ c ^ d ^ f ^ g), I(e ^ f ^ g), I(a ^ e ^ f ^ g), I(b ^ e ^ f ^ g), I(a ^ b ^ e ^ f ^ g), I(c ^ e ^ f ^ g), I(a ^ c ^ e ^ f ^ g), I(b ^ c ^ e ^ f ^ g), I(a ^ b ^ c ^ e ^ f ^ g), I(d ^ e ^ f ^ g), I(a ^ d ^ e ^ f ^ g), I(b ^ d ^ e ^ f ^ g), I(a ^ b ^ d ^ e ^ f ^ g), I(c ^ d ^ e ^ f ^ g), I(a ^ c ^ d ^ e ^ f ^ g), I(b ^ c ^ d ^ e ^ f ^ g), I(a ^ b ^ c ^ d ^ e ^ f ^ g)} {}
+ constexpr LinTrans(I a, I b, I c, I d, I e, I f, I g, I h) : table{I(0), I(a), I(b), I(a ^ b), I(c), I(a ^ c), I(b ^ c), I(a ^ b ^ c), I(d), I(a ^ d), I(b ^ d), I(a ^ b ^ d), I(c ^ d), I(a ^ c ^ d), I(b ^ c ^ d), I(a ^ b ^ c ^ d), I(e), I(a ^ e), I(b ^ e), I(a ^ b ^ e), I(c ^ e), I(a ^ c ^ e), I(b ^ c ^ e), I(a ^ b ^ c ^ e), I(d ^ e), I(a ^ d ^ e), I(b ^ d ^ e), I(a ^ b ^ d ^ e), I(c ^ d ^ e), I(a ^ c ^ d ^ e), I(b ^ c ^ d ^ e), I(a ^ b ^ c ^ d ^ e), I(f), I(a ^ f), I(b^ f), I(a ^ b ^ f), I(c^ f), I(a ^ c ^ f), I(b ^ c ^ f), I(a ^ b ^ c ^ f), I(d ^ f), I(a ^ d ^ f), I(b ^ d ^ f), I(a ^ b ^ d ^ f), I(c ^ d ^ f), I(a ^ c ^ d ^ f), I(b ^ c ^ d ^ f), I(a ^ b ^ c ^ d ^ f), I(e ^ f), I(a ^ e ^ f), I(b ^ e ^ f), I(a ^ b ^ e ^ f), I(c ^ e ^ f), I(a ^ c ^ e ^ f), I(b ^ c ^ e ^ f), I(a ^ b ^ c ^ e ^ f), I(d ^ e ^ f), I(a ^ d ^ e ^ f), I(b ^ d ^ e ^ f), I(a ^ b ^ d ^ e ^ f), I(c ^ d ^ e ^ f), I(a ^ c ^ d ^ e ^ f), I(b ^ c ^ d ^ e ^ f), I(a ^ b ^ c ^ d ^ e ^ f), I(g), I(a ^ g), I(b ^ g), I(a ^ b ^ g), I(c ^ g), I(a ^ c ^ g), I(b ^ c ^ g), I(a ^ b ^ c ^ g), I(d ^ g), I(a ^ d ^ g), I(b ^ d ^ g), I(a ^ b ^ d ^ g), I(c ^ d ^ g), I(a ^ c ^ d ^ g), I(b ^ c ^ d ^ g), I(a ^ b ^ c ^ d ^ g), I(e ^ g), I(a ^ e ^ g), I(b ^ e ^ g), I(a ^ b ^ e ^ g), I(c ^ e ^ g), I(a ^ c ^ e ^ g), I(b ^ c ^ e ^ g), I(a ^ b ^ c ^ e ^ g), I(d ^ e ^ g), I(a ^ d ^ e ^ g), I(b ^ d ^ e ^ g), I(a ^ b ^ d ^ e ^ g), I(c ^ d ^ e ^ g), I(a ^ c ^ d ^ e ^ g), I(b ^ c ^ d ^ e ^ g), I(a ^ b ^ c ^ d ^ e ^ g), I(f ^ g), I(a ^ f ^ g), I(b^ f ^ g), I(a ^ b ^ f ^ g), I(c^ f ^ g), I(a ^ c ^ f ^ g), I(b ^ c ^ f ^ g), I(a ^ b ^ c ^ f ^ g), I(d ^ f ^ g), I(a ^ d ^ f ^ g), I(b ^ d ^ f ^ g), I(a ^ b ^ d ^ f ^ g), I(c ^ d ^ f ^ g), I(a ^ c ^ d ^ f ^ g), I(b ^ c ^ d ^ f ^ g), I(a ^ b ^ c ^ d ^ f ^ g), I(e ^ f ^ g), I(a ^ e ^ f ^ g), I(b ^ e ^ f ^ g), I(a ^ b ^ e ^ f ^ g), I(c ^ e ^ f ^ g), I(a ^ c ^ e ^ f ^ g), I(b ^ c ^ e ^ f ^ g), I(a ^ b ^ c ^ e ^ f ^ g), I(d ^ e ^ f ^ g), I(a ^ d ^ e ^ f ^ g), I(b ^ d ^ e ^ f ^ g), I(a ^ b ^ d ^ e ^ f ^ g), I(c ^ d ^ e ^ f ^ g), I(a ^ c ^ d ^ e ^ f ^ g), I(b ^ c ^ d ^ e ^ f ^ g), I(a ^ b ^ c ^ d ^ e ^ f ^ g), I(h), I(a ^ h), I(b ^ h), I(a ^ b ^ h), I(c ^ h), I(a ^ c ^ h), I(b ^ c ^ h), I(a ^ b ^ c ^ h), I(d ^ h), I(a ^ d ^ h), I(b ^ d ^ h), I(a ^ b ^ d ^ h), I(c ^ d ^ h), I(a ^ c ^ d ^ h), I(b ^ c ^ d ^ h), I(a ^ b ^ c ^ d ^ h), I(e ^ h), I(a ^ e ^ h), I(b ^ e ^ h), I(a ^ b ^ e ^ h), I(c ^ e ^ h), I(a ^ c ^ e ^ h), I(b ^ c ^ e ^ h), I(a ^ b ^ c ^ e ^ h), I(d ^ e ^ h), I(a ^ d ^ e ^ h), I(b ^ d ^ e ^ h), I(a ^ b ^ d ^ e ^ h), I(c ^ d ^ e ^ h), I(a ^ c ^ d ^ e ^ h), I(b ^ c ^ d ^ e ^ h), I(a ^ b ^ c ^ d ^ e ^ h), I(f ^ h), I(a ^ f ^ h), I(b^ f ^ h), I(a ^ b ^ f ^ h), I(c^ f ^ h), I(a ^ c ^ f ^ h), I(b ^ c ^ f ^ h), I(a ^ b ^ c ^ f ^ h), I(d ^ f ^ h), I(a ^ d ^ f ^ h), I(b ^ d ^ f ^ h), I(a ^ b ^ d ^ f ^ h), I(c ^ d ^ f ^ h), I(a ^ c ^ d ^ f ^ h), I(b ^ c ^ d ^ f ^ h), I(a ^ b ^ c ^ d ^ f ^ h), I(e ^ f ^ h), I(a ^ e ^ f ^ h), I(b ^ e ^ f ^ h), I(a ^ b ^ e ^ f ^ h), I(c ^ e ^ f ^ h), I(a ^ c ^ e ^ f ^ h), I(b ^ c ^ e ^ f ^ h), I(a ^ b ^ c ^ e ^ f ^ h), I(d ^ e ^ f ^ h), I(a ^ d ^ e ^ f ^ h), I(b ^ d ^ e ^ f ^ h), I(a ^ b ^ d ^ e ^ f ^ h), I(c ^ d ^ e ^ f ^ h), I(a ^ c ^ d ^ e ^ f ^ h), I(b ^ c ^ d ^ e ^ f ^ h), I(a ^ b ^ c ^ d ^ e ^ f ^ h), I(g ^ h), I(a ^ g ^ h), I(b ^ g ^ h), I(a ^ b ^ g ^ h), I(c ^ g ^ h), I(a ^ c ^ g ^ h), I(b ^ c ^ g ^ h), I(a ^ b ^ c ^ g ^ h), I(d ^ g ^ h), I(a ^ d ^ g ^ h), I(b ^ d ^ g ^ h), I(a ^ b ^ d ^ g ^ h), I(c ^ d ^ g ^ h), I(a ^ c ^ d ^ g ^ h), I(b ^ c ^ d ^ g ^ h), I(a ^ b ^ c ^ d ^ g ^ h), I(e ^ g ^ h), I(a ^ e ^ g ^ h), I(b ^ e ^ g ^ h), I(a ^ b ^ e ^ g ^ h), I(c ^ e ^ g ^ h), I(a ^ c ^ e ^ g ^ h), I(b ^ c ^ e ^ g ^ h), I(a ^ b ^ c ^ e ^ g ^ h), I(d ^ e ^ g ^ h), I(a ^ d ^ e ^ g ^ h), I(b ^ d ^ e ^ g ^ h), I(a ^ b ^ d ^ e ^ g ^ h), I(c ^ d ^ e ^ g ^ h), I(a ^ c ^ d ^ e ^ g ^ h), I(b ^ c ^ d ^ e ^ g ^ h), I(a ^ b ^ c ^ d ^ e ^ g ^ h), I(f ^ g ^ h), I(a ^ f ^ g ^ h), I(b^ f ^ g ^ h), I(a ^ b ^ f ^ g ^ h), I(c^ f ^ g ^ h), I(a ^ c ^ f ^ g ^ h), I(b ^ c ^ f ^ g ^ h), I(a ^ b ^ c ^ f ^ g ^ h), I(d ^ f ^ g ^ h), I(a ^ d ^ f ^ g ^ h), I(b ^ d ^ f ^ g ^ h), I(a ^ b ^ d ^ f ^ g ^ h), I(c ^ d ^ f ^ g ^ h), I(a ^ c ^ d ^ f ^ g ^ h), I(b ^ c ^ d ^ f ^ g ^ h), I(a ^ b ^ c ^ d ^ f ^ g ^ h), I(e ^ f ^ g ^ h), I(a ^ e ^ f ^ g ^ h), I(b ^ e ^ f ^ g ^ h), I(a ^ b ^ e ^ f ^ g ^ h), I(c ^ e ^ f ^ g ^ h), I(a ^ c ^ e ^ f ^ g ^ h), I(b ^ c ^ e ^ f ^ g ^ h), I(a ^ b ^ c ^ e ^ f ^ g ^ h), I(d ^ e ^ f ^ g ^ h), I(a ^ d ^ e ^ f ^ g ^ h), I(b ^ d ^ e ^ f ^ g ^ h), I(a ^ b ^ d ^ e ^ f ^ g ^ h), I(c ^ d ^ e ^ f ^ g ^ h), I(a ^ c ^ d ^ e ^ f ^ g ^ h), I(b ^ c ^ d ^ e ^ f ^ g ^ h), I(a ^ b ^ c ^ d ^ e ^ f ^ g ^ h)} {}
+
+ /* Construct a transformation over 3 to 8 bits, using a pointer to the bit's images. */
+ constexpr LinTrans(const I* p, Num<2>) : LinTrans(I(p[0]), I(p[1])) {}
+ constexpr LinTrans(const I* p, Num<3>) : LinTrans(I(p[0]), I(p[1]), I(p[2])) {}
+ constexpr LinTrans(const I* p, Num<4>) : LinTrans(I(p[0]), I(p[1]), I(p[2]), I(p[3])) {}
+ constexpr LinTrans(const I* p, Num<5>) : LinTrans(I(p[0]), I(p[1]), I(p[2]), I(p[3]), I(p[4])) {}
+ constexpr LinTrans(const I* p, Num<6>) : LinTrans(I(p[0]), I(p[1]), I(p[2]), I(p[3]), I(p[4]), I(p[5])) {}
+ constexpr LinTrans(const I* p, Num<7>) : LinTrans(I(p[0]), I(p[1]), I(p[2]), I(p[3]), I(p[4]), I(p[5]), I(p[6])) {}
+ constexpr LinTrans(const I* p, Num<8>) : LinTrans(I(p[0]), I(p[1]), I(p[2]), I(p[3]), I(p[4]), I(p[5]), I(p[6]), I(p[7])) {}
+
+ template<I (*F)(const I&)>
+ inline I Build(Num<1>, I a)
+ {
+ table[0] = I(); table[1] = a;
+ return a;
+ }
+
+ template<I (*F)(const I&)>
+ inline I Build(Num<2>, I a)
+ {
+ I b = F(a);
+ table[0] = I(); table[1] = a; table[2] = b; table[3] = a ^ b;
+ return b;
+ }
+
+ template<I (*F)(const I&)>
+ inline I Build(Num<3>, I a)
+ {
+ I b = F(a), c = F(b);
+ table[0] = I(); table[1] = a; table[2] = b; table[3] = a ^ b; table[4] = c; table[5] = a ^ c; table[6] = b ^ c; table[7] = a ^ b ^ c;
+ return c;
+ }
+
+ template<I (*F)(const I&)>
+ inline I Build(Num<4>, I a)
+ {
+ I b = F(a), c = F(b), d = F(c);
+ table[0] = I(); table[1] = a; table[2] = b; table[3] = a ^ b; table[4] = c; table[5] = a ^ c; table[6] = b ^ c; table[7] = a ^ b ^ c;
+ table[8] = d; table[9] = a ^ d; table[10] = b ^ d; table[11] = a ^ b ^ d; table[12] = c ^ d; table[13] = a ^ c ^ d; table[14] = b ^ c ^ d; table[15] = a ^ b ^ c ^ d;
+ return d;
+ }
+
+ template<I (*F)(const I&)>
+ inline I Build(Num<5>, I a)
+ {
+ I b = F(a), c = F(b), d = F(c), e = F(d);
+ table[0] = I(); table[1] = a; table[2] = b; table[3] = a ^ b; table[4] = c; table[5] = a ^ c; table[6] = b ^ c; table[7] = a ^ b ^ c;
+ table[8] = d; table[9] = a ^ d; table[10] = b ^ d; table[11] = a ^ b ^ d; table[12] = c ^ d; table[13] = a ^ c ^ d; table[14] = b ^ c ^ d; table[15] = a ^ b ^ c ^ d;
+ table[16] = e; table[17] = a ^ e; table[18] = b ^ e; table[19] = a ^ b ^ e; table[20] = c ^ e; table[21] = a ^ c ^ e; table[22] = b ^ c ^ e; table[23] = a ^ b ^ c ^ e;
+ table[24] = d ^ e; table[25] = a ^ d ^ e; table[26] = b ^ d ^ e; table[27] = a ^ b ^ d ^ e; table[28] = c ^ d ^ e; table[29] = a ^ c ^ d ^ e; table[30] = b ^ c ^ d ^ e; table[31] = a ^ b ^ c ^ d ^ e;
+ return e;
+ }
+
+ template<I (*F)(const I&)>
+ inline I Build(Num<6>, I a)
+ {
+ I b = F(a), c = F(b), d = F(c), e = F(d), f = F(e);
+ table[0] = I(); table[1] = a; table[2] = b; table[3] = a ^ b; table[4] = c; table[5] = a ^ c; table[6] = b ^ c; table[7] = a ^ b ^ c;
+ table[8] = d; table[9] = a ^ d; table[10] = b ^ d; table[11] = a ^ b ^ d; table[12] = c ^ d; table[13] = a ^ c ^ d; table[14] = b ^ c ^ d; table[15] = a ^ b ^ c ^ d;
+ table[16] = e; table[17] = a ^ e; table[18] = b ^ e; table[19] = a ^ b ^ e; table[20] = c ^ e; table[21] = a ^ c ^ e; table[22] = b ^ c ^ e; table[23] = a ^ b ^ c ^ e;
+ table[24] = d ^ e; table[25] = a ^ d ^ e; table[26] = b ^ d ^ e; table[27] = a ^ b ^ d ^ e; table[28] = c ^ d ^ e; table[29] = a ^ c ^ d ^ e; table[30] = b ^ c ^ d ^ e; table[31] = a ^ b ^ c ^ d ^ e;
+ table[32] = f; table[33] = a ^ f; table[34] = b ^ f; table[35] = a ^ b ^ f; table[36] = c ^ f; table[37] = a ^ c ^ f; table[38] = b ^ c ^ f; table[39] = a ^ b ^ c ^ f;
+ table[40] = d ^ f; table[41] = a ^ d ^ f; table[42] = b ^ d ^ f; table[43] = a ^ b ^ d ^ f; table[44] = c ^ d ^ f; table[45] = a ^ c ^ d ^ f; table[46] = b ^ c ^ d ^ f; table[47] = a ^ b ^ c ^ d ^ f;
+ table[48] = e ^ f; table[49] = a ^ e ^ f; table[50] = b ^ e ^ f; table[51] = a ^ b ^ e ^ f; table[52] = c ^ e ^ f; table[53] = a ^ c ^ e ^ f; table[54] = b ^ c ^ e ^ f; table[55] = a ^ b ^ c ^ e ^ f;
+ table[56] = d ^ e ^ f; table[57] = a ^ d ^ e ^ f; table[58] = b ^ d ^ e ^ f; table[59] = a ^ b ^ d ^ e ^ f; table[60] = c ^ d ^ e ^ f; table[61] = a ^ c ^ d ^ e ^ f; table[62] = b ^ c ^ d ^ e ^ f; table[63] = a ^ b ^ c ^ d ^ e ^ f;
+ return f;
+ }
+
+ template<typename O, int P>
+ inline I constexpr Map(I a) const { return table[O::template MidBits<P, N>(a)]; }
+
+ template<typename O, int P>
+ inline I constexpr TopMap(I a) const { static_assert(P + N == O::SIZE, "TopMap inconsistency"); return table[O::template TopBits<N>(a)]; }
+};
+
+
+/** A linear transformation constructed using LinTrans tables for sections of bits. */
+template<typename I, int... N> class RecLinTrans;
+
+template<typename I, int N> class RecLinTrans<I, N> {
+ LinTrans<I, N> trans;
+public:
+ static constexpr int BITS = N;
+ constexpr RecLinTrans(const I* p, Num<BITS>) : trans(p, Num<N>()) {}
+ constexpr RecLinTrans() = default;
+ constexpr RecLinTrans(const I (&init)[BITS]) : RecLinTrans(init, Num<BITS>()) {}
+
+ template<typename O, int P = 0>
+ inline I constexpr Map(I a) const { return trans.template TopMap<O, P>(a); }
+
+ template<I (*F)(const I&)>
+ inline void Build(I a) { trans.template Build<F>(Num<N>(), a); }
+};
+
+template<typename I, int N, int... X> class RecLinTrans<I, N, X...> {
+ LinTrans<I, N> trans;
+ RecLinTrans<I, X...> rec;
+public:
+ static constexpr int BITS = RecLinTrans<I, X...>::BITS + N;
+ constexpr RecLinTrans(const I* p, Num<BITS>) : trans(p, Num<N>()), rec(p + N, Num<BITS - N>()) {}
+ constexpr RecLinTrans() = default;
+ constexpr RecLinTrans(const I (&init)[BITS]) : RecLinTrans(init, Num<BITS>()) {}
+
+ template<typename O, int P = 0>
+ inline I constexpr Map(I a) const { return trans.template Map<O, P>(a) ^ rec.template Map<O, P + N>(a); }
+
+ template<I (*F)(const I&)>
+ inline void Build(I a) { I n = trans.template Build<F>(Num<N>(), a); rec.template Build<F>(F(n)); }
+};
+
+/** The identity transformation. */
+class IdTrans {
+public:
+ template<typename O, typename I>
+ inline I constexpr Map(I a) const { return a; }
+};
+
+/** A singleton for the identity transformation. */
+constexpr IdTrans ID_TRANS{};
+
+#endif
diff --git a/src/minisketch/src/minisketch.cpp b/src/minisketch/src/minisketch.cpp
new file mode 100644
index 0000000000..d003fdf755
--- /dev/null
+++ b/src/minisketch/src/minisketch.cpp
@@ -0,0 +1,488 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+
+#include <new>
+
+#define MINISKETCH_BUILD
+#ifdef _MINISKETCH_H_
+# error "minisketch.h cannot be included before minisketch.cpp"
+#endif
+#include "../include/minisketch.h"
+
+#include "false_positives.h"
+#include "fielddefines.h"
+#include "sketch.h"
+
+#ifdef HAVE_CLMUL
+# ifdef _MSC_VER
+# include <intrin.h>
+# else
+# include <cpuid.h>
+# endif
+#endif
+
+Sketch* ConstructGeneric1Byte(int bits, int implementation);
+Sketch* ConstructGeneric2Bytes(int bits, int implementation);
+Sketch* ConstructGeneric3Bytes(int bits, int implementation);
+Sketch* ConstructGeneric4Bytes(int bits, int implementation);
+Sketch* ConstructGeneric5Bytes(int bits, int implementation);
+Sketch* ConstructGeneric6Bytes(int bits, int implementation);
+Sketch* ConstructGeneric7Bytes(int bits, int implementation);
+Sketch* ConstructGeneric8Bytes(int bits, int implementation);
+
+#ifdef HAVE_CLMUL
+Sketch* ConstructClMul1Byte(int bits, int implementation);
+Sketch* ConstructClMul2Bytes(int bits, int implementation);
+Sketch* ConstructClMul3Bytes(int bits, int implementation);
+Sketch* ConstructClMul4Bytes(int bits, int implementation);
+Sketch* ConstructClMul5Bytes(int bits, int implementation);
+Sketch* ConstructClMul6Bytes(int bits, int implementation);
+Sketch* ConstructClMul7Bytes(int bits, int implementation);
+Sketch* ConstructClMul8Bytes(int bits, int implementation);
+Sketch* ConstructClMulTri1Byte(int bits, int implementation);
+Sketch* ConstructClMulTri2Bytes(int bits, int implementation);
+Sketch* ConstructClMulTri3Bytes(int bits, int implementation);
+Sketch* ConstructClMulTri4Bytes(int bits, int implementation);
+Sketch* ConstructClMulTri5Bytes(int bits, int implementation);
+Sketch* ConstructClMulTri6Bytes(int bits, int implementation);
+Sketch* ConstructClMulTri7Bytes(int bits, int implementation);
+Sketch* ConstructClMulTri8Bytes(int bits, int implementation);
+#endif
+
+namespace {
+
+enum class FieldImpl {
+ GENERIC = 0,
+#ifdef HAVE_CLMUL
+ CLMUL,
+ CLMUL_TRI,
+#endif
+};
+
+#ifdef HAVE_CLMUL
+static inline bool EnableClmul()
+{
+#ifdef _MSC_VER
+ int regs[4];
+ __cpuid(regs, 1);
+ return (regs[2] & 0x2);
+#else
+ uint32_t eax, ebx, ecx, edx;
+ return (__get_cpuid(1, &eax, &ebx, &ecx, &edx) && (ecx & 0x2));
+#endif
+}
+#endif
+
+Sketch* Construct(int bits, int impl)
+{
+ switch (FieldImpl(impl)) {
+ case FieldImpl::GENERIC:
+ switch ((bits + 7) / 8) {
+ case 1:
+ return ConstructGeneric1Byte(bits, impl);
+ case 2:
+ return ConstructGeneric2Bytes(bits, impl);
+ case 3:
+ return ConstructGeneric3Bytes(bits, impl);
+ case 4:
+ return ConstructGeneric4Bytes(bits, impl);
+ case 5:
+ return ConstructGeneric5Bytes(bits, impl);
+ case 6:
+ return ConstructGeneric6Bytes(bits, impl);
+ case 7:
+ return ConstructGeneric7Bytes(bits, impl);
+ case 8:
+ return ConstructGeneric8Bytes(bits, impl);
+ default:
+ return nullptr;
+ }
+ break;
+#ifdef HAVE_CLMUL
+ case FieldImpl::CLMUL:
+ if (EnableClmul()) {
+ switch ((bits + 7) / 8) {
+ case 1:
+ return ConstructClMul1Byte(bits, impl);
+ case 2:
+ return ConstructClMul2Bytes(bits, impl);
+ case 3:
+ return ConstructClMul3Bytes(bits, impl);
+ case 4:
+ return ConstructClMul4Bytes(bits, impl);
+ case 5:
+ return ConstructClMul5Bytes(bits, impl);
+ case 6:
+ return ConstructClMul6Bytes(bits, impl);
+ case 7:
+ return ConstructClMul7Bytes(bits, impl);
+ case 8:
+ return ConstructClMul8Bytes(bits, impl);
+ default:
+ return nullptr;
+ }
+ }
+ break;
+ case FieldImpl::CLMUL_TRI:
+ if (EnableClmul()) {
+ switch ((bits + 7) / 8) {
+ case 1:
+ return ConstructClMulTri1Byte(bits, impl);
+ case 2:
+ return ConstructClMulTri2Bytes(bits, impl);
+ case 3:
+ return ConstructClMulTri3Bytes(bits, impl);
+ case 4:
+ return ConstructClMulTri4Bytes(bits, impl);
+ case 5:
+ return ConstructClMulTri5Bytes(bits, impl);
+ case 6:
+ return ConstructClMulTri6Bytes(bits, impl);
+ case 7:
+ return ConstructClMulTri7Bytes(bits, impl);
+ case 8:
+ return ConstructClMulTri8Bytes(bits, impl);
+ default:
+ return nullptr;
+ }
+ }
+ break;
+#endif
+ }
+ return nullptr;
+}
+
+}
+
+extern "C" {
+
+int minisketch_bits_supported(uint32_t bits) {
+#ifdef ENABLE_FIELD_INT_2
+ if (bits == 2) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_3
+ if (bits == 3) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_4
+ if (bits == 4) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_5
+ if (bits == 5) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_6
+ if (bits == 6) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_7
+ if (bits == 7) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_8
+ if (bits == 8) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_9
+ if (bits == 9) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_10
+ if (bits == 10) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_11
+ if (bits == 11) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_12
+ if (bits == 12) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_13
+ if (bits == 13) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_14
+ if (bits == 14) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_15
+ if (bits == 15) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_16
+ if (bits == 16) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_17
+ if (bits == 17) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_18
+ if (bits == 18) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_19
+ if (bits == 19) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_20
+ if (bits == 20) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_21
+ if (bits == 21) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_22
+ if (bits == 22) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_23
+ if (bits == 23) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_24
+ if (bits == 24) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_25
+ if (bits == 25) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_26
+ if (bits == 26) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_27
+ if (bits == 27) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_28
+ if (bits == 28) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_29
+ if (bits == 29) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_30
+ if (bits == 30) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_31
+ if (bits == 31) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_32
+ if (bits == 32) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_33
+ if (bits == 33) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_34
+ if (bits == 34) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_35
+ if (bits == 35) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_36
+ if (bits == 36) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_37
+ if (bits == 37) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_38
+ if (bits == 38) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_39
+ if (bits == 39) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_40
+ if (bits == 40) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_41
+ if (bits == 41) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_42
+ if (bits == 42) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_43
+ if (bits == 43) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_44
+ if (bits == 44) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_45
+ if (bits == 45) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_46
+ if (bits == 46) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_47
+ if (bits == 47) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_48
+ if (bits == 48) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_49
+ if (bits == 49) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_50
+ if (bits == 50) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_51
+ if (bits == 51) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_52
+ if (bits == 52) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_53
+ if (bits == 53) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_54
+ if (bits == 54) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_55
+ if (bits == 55) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_56
+ if (bits == 56) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_57
+ if (bits == 57) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_58
+ if (bits == 58) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_59
+ if (bits == 59) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_60
+ if (bits == 60) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_61
+ if (bits == 61) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_62
+ if (bits == 62) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_63
+ if (bits == 63) return true;
+#endif
+#ifdef ENABLE_FIELD_INT_64
+ if (bits == 64) return true;
+#endif
+ return false;
+}
+
+uint32_t minisketch_implementation_max() {
+ uint32_t ret = 0;
+#ifdef HAVE_CLMUL
+ ret += 2;
+#endif
+ return ret;
+}
+
+int minisketch_implementation_supported(uint32_t bits, uint32_t implementation) {
+ if (!minisketch_bits_supported(bits) || implementation > minisketch_implementation_max()) {
+ return 0;
+ }
+ try {
+ Sketch* sketch = Construct(bits, implementation);
+ if (sketch) {
+ delete sketch;
+ return 1;
+ }
+ } catch (const std::bad_alloc&) {}
+ return 0;
+}
+
+minisketch* minisketch_create(uint32_t bits, uint32_t implementation, size_t capacity) {
+ try {
+ Sketch* sketch = Construct(bits, implementation);
+ if (sketch) {
+ try {
+ sketch->Init(capacity);
+ } catch (const std::bad_alloc&) {
+ delete sketch;
+ throw;
+ }
+ sketch->Ready();
+ }
+ return (minisketch*)sketch;
+ } catch (const std::bad_alloc&) {
+ return nullptr;
+ }
+}
+
+uint32_t minisketch_bits(const minisketch* sketch) {
+ const Sketch* s = (const Sketch*)sketch;
+ s->Check();
+ return s->Bits();
+}
+
+size_t minisketch_capacity(const minisketch* sketch) {
+ const Sketch* s = (const Sketch*)sketch;
+ s->Check();
+ return s->Syndromes();
+}
+
+uint32_t minisketch_implementation(const minisketch* sketch) {
+ const Sketch* s = (const Sketch*)sketch;
+ s->Check();
+ return s->Implementation();
+}
+
+minisketch* minisketch_clone(const minisketch* sketch) {
+ const Sketch* s = (const Sketch*)sketch;
+ s->Check();
+ Sketch* r = (Sketch*) minisketch_create(s->Bits(), s->Implementation(), s->Syndromes());
+ if (r) {
+ r->Merge(s);
+ }
+ return (minisketch*) r;
+}
+
+void minisketch_destroy(minisketch* sketch) {
+ if (sketch) {
+ Sketch* s = (Sketch*)sketch;
+ s->UnReady();
+ delete s;
+ }
+}
+
+size_t minisketch_serialized_size(const minisketch* sketch) {
+ const Sketch* s = (const Sketch*)sketch;
+ s->Check();
+ size_t bits = s->Bits();
+ size_t syndromes = s->Syndromes();
+ return (bits * syndromes + 7) / 8;
+}
+
+void minisketch_serialize(const minisketch* sketch, unsigned char* output) {
+ const Sketch* s = (const Sketch*)sketch;
+ s->Check();
+ s->Serialize(output);
+}
+
+void minisketch_deserialize(minisketch* sketch, const unsigned char* input) {
+ Sketch* s = (Sketch*)sketch;
+ s->Check();
+ s->Deserialize(input);
+}
+
+void minisketch_add_uint64(minisketch* sketch, uint64_t element) {
+ Sketch* s = (Sketch*)sketch;
+ s->Check();
+ s->Add(element);
+}
+
+size_t minisketch_merge(minisketch* sketch, const minisketch* other_sketch) {
+ Sketch* s1 = (Sketch*)sketch;
+ const Sketch* s2 = (const Sketch*)other_sketch;
+ s1->Check();
+ s2->Check();
+ if (s1->Bits() != s2->Bits()) return 0;
+ if (s1->Implementation() != s2->Implementation()) return 0;
+ return s1->Merge(s2);
+}
+
+ssize_t minisketch_decode(const minisketch* sketch, size_t max_elements, uint64_t* output) {
+ const Sketch* s = (const Sketch*)sketch;
+ s->Check();
+ return s->Decode(max_elements, output);
+}
+
+void minisketch_set_seed(minisketch* sketch, uint64_t seed) {
+ Sketch* s = (Sketch*)sketch;
+ s->Check();
+ s->SetSeed(seed);
+}
+
+size_t minisketch_compute_capacity(uint32_t bits, size_t max_elements, uint32_t fpbits) {
+ return ComputeCapacity(bits, max_elements, fpbits);
+}
+
+size_t minisketch_compute_max_elements(uint32_t bits, size_t capacity, uint32_t fpbits) {
+ return ComputeMaxElements(bits, capacity, fpbits);
+}
+
+}
diff --git a/src/minisketch/src/sketch.h b/src/minisketch/src/sketch.h
new file mode 100644
index 0000000000..3e9bad793d
--- /dev/null
+++ b/src/minisketch/src/sketch.h
@@ -0,0 +1,42 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_STATE_H_
+#define _MINISKETCH_STATE_H_
+
+#include <stdint.h>
+#include <stdlib.h>
+
+/** Abstract class for internal representation of a minisketch object. */
+class Sketch
+{
+ uint64_t m_canary;
+ const int m_implementation;
+ const int m_bits;
+
+public:
+ Sketch(int implementation, int bits) : m_implementation(implementation), m_bits(bits) {}
+
+ void Ready() { m_canary = 0x6d496e536b65LU; }
+ void Check() const { if (m_canary != 0x6d496e536b65LU) abort(); }
+ void UnReady() { m_canary = 1; }
+ int Implementation() const { return m_implementation; }
+ int Bits() const { return m_bits; }
+
+ virtual ~Sketch() {}
+ virtual size_t Syndromes() const = 0;
+
+ virtual void Init(int syndromes) = 0;
+ virtual void Add(uint64_t element) = 0;
+ virtual void Serialize(unsigned char*) const = 0;
+ virtual void Deserialize(const unsigned char*) = 0;
+ virtual size_t Merge(const Sketch* other_sketch) = 0;
+ virtual void SetSeed(uint64_t seed) = 0;
+
+ virtual int Decode(int max_count, uint64_t* roots) const = 0;
+};
+
+#endif
diff --git a/src/minisketch/src/sketch_impl.h b/src/minisketch/src/sketch_impl.h
new file mode 100644
index 0000000000..4547b742f2
--- /dev/null
+++ b/src/minisketch/src/sketch_impl.h
@@ -0,0 +1,433 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_SKETCH_IMPL_H_
+#define _MINISKETCH_SKETCH_IMPL_H_
+
+#include <random>
+
+#include "util.h"
+#include "sketch.h"
+#include "int_utils.h"
+
+/** Compute the remainder of a polynomial division of val by mod, putting the result in mod. */
+template<typename F>
+void PolyMod(const std::vector<typename F::Elem>& mod, std::vector<typename F::Elem>& val, const F& field) {
+ size_t modsize = mod.size();
+ CHECK_SAFE(modsize > 0 && mod.back() == 1);
+ if (val.size() < modsize) return;
+ CHECK_SAFE(val.back() != 0);
+ while (val.size() >= modsize) {
+ auto term = val.back();
+ val.pop_back();
+ if (term != 0) {
+ typename F::Multiplier mul(field, term);
+ for (size_t x = 0; x < mod.size() - 1; ++x) {
+ val[val.size() - modsize + 1 + x] ^= mul(mod[x]);
+ }
+ }
+ }
+ while (val.size() > 0 && val.back() == 0) val.pop_back();
+}
+
+/** Compute the quotient of a polynomial division of val by mod, putting the quotient in div and the remainder in val. */
+template<typename F>
+void DivMod(const std::vector<typename F::Elem>& mod, std::vector<typename F::Elem>& val, std::vector<typename F::Elem>& div, const F& field) {
+ size_t modsize = mod.size();
+ CHECK_SAFE(mod.size() > 0 && mod.back() == 1);
+ if (val.size() < mod.size()) {
+ div.clear();
+ return;
+ }
+ CHECK_SAFE(val.back() != 0);
+ div.resize(val.size() - mod.size() + 1);
+ while (val.size() >= modsize) {
+ auto term = val.back();
+ div[val.size() - modsize] = term;
+ val.pop_back();
+ if (term != 0) {
+ typename F::Multiplier mul(field, term);
+ for (size_t x = 0; x < mod.size() - 1; ++x) {
+ val[val.size() - modsize + 1 + x] ^= mul(mod[x]);
+ }
+ }
+ }
+}
+
+/** Make a polynomial monic. */
+template<typename F>
+typename F::Elem MakeMonic(std::vector<typename F::Elem>& a, const F& field) {
+ CHECK_SAFE(a.back() != 0);
+ if (a.back() == 1) return 0;
+ auto inv = field.Inv(a.back());
+ typename F::Multiplier mul(field, inv);
+ a.back() = 1;
+ for (size_t i = 0; i < a.size() - 1; ++i) {
+ a[i] = mul(a[i]);
+ }
+ return inv;
+}
+
+/** Compute the GCD of two polynomials, putting the result in a. b will be cleared. */
+template<typename F>
+void GCD(std::vector<typename F::Elem>& a, std::vector<typename F::Elem>& b, const F& field) {
+ if (a.size() < b.size()) std::swap(a, b);
+ while (b.size() > 0) {
+ if (b.size() == 1) {
+ a.resize(1);
+ a[0] = 1;
+ return;
+ }
+ MakeMonic(b, field);
+ PolyMod(b, a, field);
+ std::swap(a, b);
+ }
+}
+
+/** Square a polynomial. */
+template<typename F>
+void Sqr(std::vector<typename F::Elem>& poly, const F& field) {
+ if (poly.size() == 0) return;
+ poly.resize(poly.size() * 2 - 1);
+ for (int x = poly.size() - 1; x >= 0; --x) {
+ poly[x] = (x & 1) ? 0 : field.Sqr(poly[x / 2]);
+ }
+}
+
+/** Compute the trace map of (param*x) modulo mod, putting the result in out. */
+template<typename F>
+void TraceMod(const std::vector<typename F::Elem>& mod, std::vector<typename F::Elem>& out, const typename F::Elem& param, const F& field) {
+ out.reserve(mod.size() * 2);
+ out.resize(2);
+ out[0] = 0;
+ out[1] = param;
+
+ for (int i = 0; i < field.Bits() - 1; ++i) {
+ Sqr(out, field);
+ if (out.size() < 2) out.resize(2);
+ out[1] = param;
+ PolyMod(mod, out, field);
+ }
+}
+
+/** One step of the root finding algorithm; finds roots of stack[pos] and adds them to roots. Stack elements >= pos are destroyed.
+ *
+ * It operates on a stack of polynomials. The polynomial operated on is `stack[pos]`, where elements of `stack` with index higher
+ * than `pos` are used as scratch space.
+ *
+ * `stack[pos]` is assumed to be square-free polynomial. If `fully_factorizable` is true, it is also assumed to have no irreducible
+ * factors of degree higher than 1.
+
+ * This implements the Berlekamp trace algorithm, plus an efficient test to fail fast in
+ * case the polynomial cannot be fully factored.
+ */
+template<typename F>
+bool RecFindRoots(std::vector<std::vector<typename F::Elem>>& stack, size_t pos, std::vector<typename F::Elem>& roots, bool fully_factorizable, int depth, typename F::Elem randv, const F& field) {
+ auto& ppoly = stack[pos];
+ // We assert ppoly.size() > 1 (instead of just ppoly.size() > 0) to additionally exclude
+ // constants polynomials because
+ // - ppoly is not constant initially (this is ensured by FindRoots()), and
+ // - we never recurse on a constant polynomial.
+ CHECK_SAFE(ppoly.size() > 1 && ppoly.back() == 1);
+ /* 1st degree input: constant term is the root. */
+ if (ppoly.size() == 2) {
+ roots.push_back(ppoly[0]);
+ return true;
+ }
+ /* 2nd degree input: use direct quadratic solver. */
+ if (ppoly.size() == 3) {
+ CHECK_RETURN(ppoly[1] != 0, false); // Equations of the form (x^2 + a) have two identical solutions; contradicts square-free assumption. */
+ auto input = field.Mul(ppoly[0], field.Sqr(field.Inv(ppoly[1])));
+ auto root = field.Qrt(input);
+ if ((field.Sqr(root) ^ root) != input) {
+ CHECK_SAFE(!fully_factorizable);
+ return false; // No root found.
+ }
+ auto sol = field.Mul(root, ppoly[1]);
+ roots.push_back(sol);
+ roots.push_back(sol ^ ppoly[1]);
+ return true;
+ }
+ /* 3rd degree input and more: recurse further. */
+ if (pos + 3 > stack.size()) {
+ // Allocate memory if necessary.
+ stack.resize((pos + 3) * 2);
+ }
+ auto& poly = stack[pos];
+ auto& tmp = stack[pos + 1];
+ auto& trace = stack[pos + 2];
+ trace.clear();
+ tmp.clear();
+ for (int iter = 0;; ++iter) {
+ // Compute the polynomial (trace(x*randv) mod poly(x)) symbolically,
+ // and put the result in `trace`.
+ TraceMod(poly, trace, randv, field);
+
+ if (iter >= 1 && !fully_factorizable) {
+ // If the polynomial cannot be factorized completely (it has an
+ // irreducible factor of degree higher than 1), we want to avoid
+ // the case where this is only detected after trying all BITS
+ // independent split attempts fail (see the assert below).
+ //
+ // Observe that if we call y = randv*x, it is true that:
+ //
+ // trace = y + y^2 + y^4 + y^8 + ... y^(FIELDSIZE/2) mod poly
+ //
+ // Due to the Frobenius endomorphism, this means:
+ //
+ // trace^2 = y^2 + y^4 + y^8 + ... + y^FIELDSIZE mod poly
+ //
+ // Or, adding them up:
+ //
+ // trace + trace^2 = y + y^FIELDSIZE mod poly.
+ // = randv*x + randv^FIELDSIZE*x^FIELDSIZE
+ // = randv*x + randv*x^FIELDSIZE
+ // = randv*(x + x^FIELDSIZE).
+ // (all mod poly)
+ //
+ // x + x^FIELDSIZE is the polynomial which has every field element
+ // as root once. Whenever x + x^FIELDSIZE is multiple of poly,
+ // this means it only has unique first degree factors. The same
+ // holds for its constant multiple randv*(x + x^FIELDSIZE) =
+ // trace + trace^2.
+ //
+ // We use this test to quickly verify whether the polynomial is
+ // fully factorizable after already having computed a trace.
+ // We don't invoke it immediately; only when splitting has failed
+ // at least once, which avoids it for most polynomials that are
+ // fully factorizable (or at least pushes the test down the
+ // recursion to factors which are smaller and thus faster).
+ tmp = trace;
+ Sqr(tmp, field);
+ for (size_t i = 0; i < trace.size(); ++i) {
+ tmp[i] ^= trace[i];
+ }
+ while (tmp.size() && tmp.back() == 0) tmp.pop_back();
+ PolyMod(poly, tmp, field);
+
+ // Whenever the test fails, we can immediately abort the root
+ // finding. Whenever it succeeds, we can remember and pass down
+ // the information that it is in fact fully factorizable, avoiding
+ // the need to run the test again.
+ if (tmp.size() != 0) return false;
+ fully_factorizable = true;
+ }
+
+ if (fully_factorizable) {
+ // Every succesful iteration of this algorithm splits the input
+ // polynomial further into buckets, each corresponding to a subset
+ // of 2^(BITS-depth) roots. If after depth splits the degree of
+ // the polynomial is >= 2^(BITS-depth), something is wrong.
+ CHECK_RETURN(field.Bits() - depth >= std::numeric_limits<decltype(poly.size())>::digits ||
+ (poly.size() - 2) >> (field.Bits() - depth) == 0, false);
+ }
+
+ depth++;
+ // In every iteration we multiply randv by 2. As a result, the set
+ // of randv values forms a GF(2)-linearly independent basis of splits.
+ randv = field.Mul2(randv);
+ tmp = poly;
+ GCD(trace, tmp, field);
+ if (trace.size() != poly.size() && trace.size() > 1) break;
+ }
+ MakeMonic(trace, field);
+ DivMod(trace, poly, tmp, field);
+ // At this point, the stack looks like [... (poly) tmp trace], and we want to recursively
+ // find roots of trace and tmp (= poly/trace). As we don't care about poly anymore, move
+ // trace into its position first.
+ std::swap(poly, trace);
+ // Now the stack is [... (trace) tmp ...]. First we factor tmp (at pos = pos+1), and then
+ // we factor trace (at pos = pos).
+ if (!RecFindRoots(stack, pos + 1, roots, fully_factorizable, depth, randv, field)) return false;
+ // The stack position pos contains trace, the polynomial with all of poly's roots which (after
+ // multiplication with randv) have trace 0. This is never the case for irreducible factors
+ // (which always end up in tmp), so we can set fully_factorizable to true when recursing.
+ bool ret = RecFindRoots(stack, pos, roots, true, depth, randv, field);
+ // Because of the above, recursion can never fail here.
+ CHECK_SAFE(ret);
+ return ret;
+}
+
+/** Returns the roots of a fully factorizable polynomial
+ *
+ * This function assumes that the input polynomial is square-free
+ * and not the zero polynomial (represented by an empty vector).
+ *
+ * In case the square-free polynomial is not fully factorizable, i.e., it
+ * has fewer roots than its degree, the empty vector is returned.
+ */
+template<typename F>
+std::vector<typename F::Elem> FindRoots(const std::vector<typename F::Elem>& poly, typename F::Elem basis, const F& field) {
+ std::vector<typename F::Elem> roots;
+ CHECK_RETURN(poly.size() != 0, {});
+ CHECK_RETURN(basis != 0, {});
+ if (poly.size() == 1) return roots; // No roots when the polynomial is a constant.
+ roots.reserve(poly.size() - 1);
+ std::vector<std::vector<typename F::Elem>> stack = {poly};
+
+ // Invoke the recursive factorization algorithm.
+ if (!RecFindRoots(stack, 0, roots, false, 0, basis, field)) {
+ // Not fully factorizable.
+ return {};
+ }
+ CHECK_RETURN(poly.size() - 1 == roots.size(), {});
+ return roots;
+}
+
+template<typename F>
+std::vector<typename F::Elem> BerlekampMassey(const std::vector<typename F::Elem>& syndromes, size_t max_degree, const F& field) {
+ std::vector<typename F::Multiplier> table;
+ std::vector<typename F::Elem> current, prev, tmp;
+ current.reserve(syndromes.size() / 2 + 1);
+ prev.reserve(syndromes.size() / 2 + 1);
+ tmp.reserve(syndromes.size() / 2 + 1);
+ current.resize(1);
+ current[0] = 1;
+ prev.resize(1);
+ prev[0] = 1;
+ typename F::Elem b = 1, b_inv = 1;
+ bool b_have_inv = true;
+ table.reserve(syndromes.size());
+
+ for (size_t n = 0; n != syndromes.size(); ++n) {
+ table.emplace_back(field, syndromes[n]);
+ auto discrepancy = syndromes[n];
+ for (size_t i = 1; i < current.size(); ++i) discrepancy ^= table[n - i](current[i]);
+ if (discrepancy != 0) {
+ int x = n + 1 - (current.size() - 1) - (prev.size() - 1);
+ if (!b_have_inv) {
+ b_inv = field.Inv(b);
+ b_have_inv = true;
+ }
+ bool swap = 2 * (current.size() - 1) <= n;
+ if (swap) {
+ if (prev.size() + x - 1 > max_degree) return {}; // We'd exceed maximum degree
+ tmp = current;
+ current.resize(prev.size() + x);
+ }
+ typename F::Multiplier mul(field, field.Mul(discrepancy, b_inv));
+ for (size_t i = 0; i < prev.size(); ++i) current[i + x] ^= mul(prev[i]);
+ if (swap) {
+ std::swap(prev, tmp);
+ b = discrepancy;
+ b_have_inv = false;
+ }
+ }
+ }
+ CHECK_RETURN(current.size() && current.back() != 0, {});
+ return current;
+}
+
+template<typename F>
+std::vector<typename F::Elem> ReconstructAllSyndromes(const std::vector<typename F::Elem>& odd_syndromes, const F& field) {
+ std::vector<typename F::Elem> all_syndromes;
+ all_syndromes.resize(odd_syndromes.size() * 2);
+ for (size_t i = 0; i < odd_syndromes.size(); ++i) {
+ all_syndromes[i * 2] = odd_syndromes[i];
+ all_syndromes[i * 2 + 1] = field.Sqr(all_syndromes[i]);
+ }
+ return all_syndromes;
+}
+
+template<typename F>
+void AddToOddSyndromes(std::vector<typename F::Elem>& osyndromes, typename F::Elem data, const F& field) {
+ auto sqr = field.Sqr(data);
+ typename F::Multiplier mul(field, sqr);
+ for (auto& osyndrome : osyndromes) {
+ osyndrome ^= data;
+ data = mul(data);
+ }
+}
+
+template<typename F>
+std::vector<typename F::Elem> FullDecode(const std::vector<typename F::Elem>& osyndromes, const F& field) {
+ auto asyndromes = ReconstructAllSyndromes<typename F::Elem>(osyndromes, field);
+ auto poly = BerlekampMassey(asyndromes, field);
+ std::reverse(poly.begin(), poly.end());
+ return FindRoots(poly, field);
+}
+
+template<typename F>
+class SketchImpl final : public Sketch
+{
+ const F m_field;
+ std::vector<typename F::Elem> m_syndromes;
+ typename F::Elem m_basis;
+
+public:
+ template<typename... Args>
+ SketchImpl(int implementation, int bits, const Args&... args) : Sketch(implementation, bits), m_field(args...) {
+ std::random_device rng;
+ std::uniform_int_distribution<uint64_t> dist;
+ m_basis = m_field.FromSeed(dist(rng));
+ }
+
+ size_t Syndromes() const override { return m_syndromes.size(); }
+ void Init(int count) override { m_syndromes.assign(count, 0); }
+
+ void Add(uint64_t val) override
+ {
+ auto elem = m_field.FromUint64(val);
+ AddToOddSyndromes(m_syndromes, elem, m_field);
+ }
+
+ void Serialize(unsigned char* ptr) const override
+ {
+ BitWriter writer(ptr);
+ for (const auto& val : m_syndromes) {
+ m_field.Serialize(writer, val);
+ }
+ writer.Flush();
+ }
+
+ void Deserialize(const unsigned char* ptr) override
+ {
+ BitReader reader(ptr);
+ for (auto& val : m_syndromes) {
+ val = m_field.Deserialize(reader);
+ }
+ }
+
+ int Decode(int max_count, uint64_t* out) const override
+ {
+ auto all_syndromes = ReconstructAllSyndromes(m_syndromes, m_field);
+ auto poly = BerlekampMassey(all_syndromes, max_count, m_field);
+ if (poly.size() == 0) return -1;
+ if (poly.size() == 1) return 0;
+ if ((int)poly.size() > 1 + max_count) return -1;
+ std::reverse(poly.begin(), poly.end());
+ auto roots = FindRoots(poly, m_basis, m_field);
+ if (roots.size() == 0) return -1;
+
+ for (const auto& root : roots) {
+ *(out++) = m_field.ToUint64(root);
+ }
+ return roots.size();
+ }
+
+ size_t Merge(const Sketch* other_sketch) override
+ {
+ // Sad cast. This is safe only because the caller code in minisketch.cpp checks
+ // that implementation and field size match.
+ const SketchImpl* other = static_cast<const SketchImpl*>(other_sketch);
+ m_syndromes.resize(std::min(m_syndromes.size(), other->m_syndromes.size()));
+ for (size_t i = 0; i < m_syndromes.size(); ++i) {
+ m_syndromes[i] ^= other->m_syndromes[i];
+ }
+ return m_syndromes.size();
+ }
+
+ void SetSeed(uint64_t seed) override
+ {
+ if (seed == (uint64_t)-1) {
+ m_basis = 1;
+ } else {
+ m_basis = m_field.FromSeed(seed);
+ }
+ }
+};
+
+#endif
diff --git a/src/minisketch/src/test.cpp b/src/minisketch/src/test.cpp
new file mode 100644
index 0000000000..417937ea5f
--- /dev/null
+++ b/src/minisketch/src/test.cpp
@@ -0,0 +1,316 @@
+/**********************************************************************
+ * Copyright (c) 2018,2021 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include <algorithm>
+#include <cstdio>
+#include <limits>
+#include <random>
+#include <stdexcept>
+#include <vector>
+
+#include "../include/minisketch.h"
+#include "util.h"
+
+namespace {
+
+uint64_t Combination(uint64_t n, uint64_t k) {
+ if (n - k < k) k = n - k;
+ uint64_t ret = 1;
+ for (uint64_t i = 1; i <= k; ++i) {
+ ret = (ret * n) / i;
+ --n;
+ }
+ return ret;
+}
+
+/** Create a vector with Minisketch objects, one for each implementation. */
+std::vector<Minisketch> CreateSketches(uint32_t bits, size_t capacity) {
+ if (!Minisketch::BitsSupported(bits)) return {};
+ std::vector<Minisketch> ret;
+ for (uint32_t impl = 0; impl <= Minisketch::MaxImplementation(); ++impl) {
+ if (Minisketch::ImplementationSupported(bits, impl)) {
+ CHECK(Minisketch::BitsSupported(bits));
+ ret.push_back(Minisketch(bits, impl, capacity));
+ CHECK((bool)ret.back());
+ } else {
+ // implementation 0 must always work unless field size is disabled
+ CHECK(impl != 0 || !Minisketch::BitsSupported(bits));
+ }
+ }
+ return ret;
+}
+
+/** Test properties by exhaustively decoding all 2**(bits*capacity) sketches
+ * with specified capacity and bits. */
+void TestExhaustive(uint32_t bits, size_t capacity) {
+ auto sketches = CreateSketches(bits, capacity);
+ if (sketches.empty()) return;
+ auto sketches_rebuild = CreateSketches(bits, capacity);
+
+ std::vector<unsigned char> serialized;
+ std::vector<unsigned char> serialized_empty;
+ std::vector<uint64_t> counts; //!< counts[i] = number of results with i elements
+ std::vector<uint64_t> elements_0; //!< Result vector for elements for impl=0
+ std::vector<uint64_t> elements_other; //!< Result vector for elements for other impls
+ std::vector<uint64_t> elements_too_small; //!< Result vector that's too small
+
+ counts.resize(capacity + 1);
+ serialized.resize(sketches[0].GetSerializedSize());
+ serialized_empty.resize(sketches[0].GetSerializedSize());
+
+ // Iterate over all (bits)-bit sketches with (capacity) syndromes.
+ for (uint64_t x = 0; (x >> (bits * capacity)) == 0; ++x) {
+ // Construct the serialization.
+ for (size_t i = 0; i < serialized.size(); ++i) {
+ serialized[i] = (x >> (i * 8)) & 0xFF;
+ }
+
+ // Compute all the solutions
+ sketches[0].Deserialize(serialized);
+ elements_0.resize(64);
+ bool decodable_0 = sketches[0].Decode(elements_0);
+ std::sort(elements_0.begin(), elements_0.end());
+
+ // Verify that decoding with other implementations agrees.
+ for (size_t impl = 1; impl < sketches.size(); ++impl) {
+ sketches[impl].Deserialize(serialized);
+ elements_other.resize(64);
+ bool decodable_other = sketches[impl].Decode(elements_other);
+ CHECK(decodable_other == decodable_0);
+ std::sort(elements_other.begin(), elements_other.end());
+ CHECK(elements_other == elements_0);
+ }
+
+ // If there are solutions:
+ if (decodable_0) {
+ if (!elements_0.empty()) {
+ // Decoding with limit one less than the number of elements should fail.
+ elements_too_small.resize(elements_0.size() - 1);
+ for (size_t impl = 0; impl < sketches.size(); ++impl) {
+ CHECK(!sketches[impl].Decode(elements_too_small));
+ }
+ }
+
+ // Reconstruct the sketch from the solutions.
+ for (size_t impl = 0; impl < sketches.size(); ++impl) {
+ // Clear the sketch.
+ sketches_rebuild[impl].Deserialize(serialized_empty);
+ // Load all decoded elements into it.
+ for (uint64_t elem : elements_0) {
+ CHECK(elem != 0);
+ CHECK(elem >> bits == 0);
+ sketches_rebuild[impl].Add(elem);
+ }
+ // Reserialize the result
+ auto serialized_rebuild = sketches_rebuild[impl].Serialize();
+ // Compare
+ CHECK(serialized == serialized_rebuild);
+ // Count it
+ if (impl == 0 && elements_0.size() <= capacity) ++counts[elements_0.size()];
+ }
+ }
+ }
+
+ // Verify that the number of decodable sketches with given elements is expected.
+ uint64_t mask = bits == 64 ? UINT64_MAX : (uint64_t{1} << bits) - 1;
+ for (uint64_t i = 0; i <= capacity && (i & mask) == i; ++i) {
+ CHECK(counts[i] == Combination(mask, i));
+ }
+}
+
+/** Test properties of sketches with random elements put in. */
+void TestRandomized(uint32_t bits, size_t max_capacity, size_t iter) {
+ std::random_device rnd;
+ std::uniform_int_distribution<uint64_t> capacity_dist(0, std::min<uint64_t>(std::numeric_limits<uint64_t>::max() >> (64 - bits), max_capacity));
+ std::uniform_int_distribution<uint64_t> element_dist(1, std::numeric_limits<uint64_t>::max() >> (64 - bits));
+ std::uniform_int_distribution<uint64_t> rand64(0, std::numeric_limits<uint64_t>::max());
+ std::uniform_int_distribution<int64_t> size_offset_dist(-3, 3);
+
+ std::vector<uint64_t> decode_0;
+ std::vector<uint64_t> decode_other;
+ std::vector<uint64_t> decode_temp;
+ std::vector<uint64_t> elements;
+
+ for (size_t i = 0; i < iter; ++i) {
+ // Determine capacity, and construct Minisketch objects for all implementations.
+ uint64_t capacity = capacity_dist(rnd);
+ auto sketches = CreateSketches(bits, capacity);
+ // Sanity checks
+ if (sketches.empty()) return;
+ for (size_t impl = 0; impl < sketches.size(); ++impl) {
+ CHECK(sketches[impl].GetBits() == bits);
+ CHECK(sketches[impl].GetCapacity() == capacity);
+ CHECK(sketches[impl].GetSerializedSize() == sketches[0].GetSerializedSize());
+ }
+ // Determine the number of elements, and create a vector to store them in.
+ size_t element_count = std::max<int64_t>(0, std::max<int64_t>(0, capacity + size_offset_dist(rnd)));
+ elements.resize(element_count);
+ // Add the elements to all sketches
+ for (size_t j = 0; j < element_count; ++j) {
+ uint64_t elem = element_dist(rnd);
+ CHECK(elem != 0);
+ elements[j] = elem;
+ for (auto& sketch : sketches) sketch.Add(elem);
+ }
+ // Remove pairs of duplicates in elements, as they cancel out.
+ std::sort(elements.begin(), elements.end());
+ size_t real_element_count = element_count;
+ for (size_t pos = 0; pos + 1 < elements.size(); ++pos) {
+ if (elements[pos] == elements[pos + 1]) {
+ real_element_count -= 2;
+ // Set both elements to 0; afterwards we will move these to the end.
+ elements[pos] = 0;
+ elements[pos + 1] = 0;
+ ++pos;
+ }
+ }
+ if (real_element_count < element_count) {
+ // Move all introduced zeroes (masking duplicates) to the end.
+ std::sort(elements.begin(), elements.end(), [](uint64_t a, uint64_t b) { return a != b && (b == 0 || (a != 0 && a < b)); });
+ CHECK(elements[real_element_count] == 0);
+ elements.resize(real_element_count);
+ }
+ // Create and compare serializations
+ auto serialized_0 = sketches[0].Serialize();
+ for (size_t impl = 1; impl < sketches.size(); ++impl) {
+ auto serialized_other = sketches[impl].Serialize();
+ CHECK(serialized_other == serialized_0);
+ }
+ // Deserialize and reserialize them
+ for (size_t impl = 0; impl < sketches.size(); ++impl) {
+ sketches[impl].Deserialize(serialized_0);
+ auto reserialized = sketches[impl].Serialize();
+ CHECK(reserialized == serialized_0);
+ }
+ // Decode with limit set to the capacity, and compare results
+ decode_0.resize(capacity);
+ bool decodable_0 = sketches[0].Decode(decode_0);
+ std::sort(decode_0.begin(), decode_0.end());
+ for (size_t impl = 1; impl < sketches.size(); ++impl) {
+ decode_other.resize(capacity);
+ bool decodable_other = sketches[impl].Decode(decode_other);
+ CHECK(decodable_other == decodable_0);
+ std::sort(decode_other.begin(), decode_other.end());
+ CHECK(decode_other == decode_0);
+ }
+ // If the result is decodable, it should also be decodable with limit
+ // set to the actual number of elements, and not with one less.
+ if (decodable_0) {
+ for (auto& sketch : sketches) {
+ decode_temp.resize(decode_0.size());
+ bool decodable = sketch.Decode(decode_temp);
+ CHECK(decodable);
+ std::sort(decode_temp.begin(), decode_temp.end());
+ CHECK(decode_temp == decode_0);
+ if (!decode_0.empty()) {
+ decode_temp.resize(decode_0.size() - 1);
+ decodable = sketch.Decode(decode_temp);
+ CHECK(!decodable);
+ }
+ }
+ }
+ // If the actual number of elements is not higher than the capacity, the
+ // result should be decodable, and the result should match what we put in.
+ if (real_element_count <= capacity) {
+ CHECK(decodable_0);
+ CHECK(decode_0 == elements);
+ }
+ }
+}
+
+void TestComputeFunctions() {
+ for (uint32_t bits = 0; bits <= 256; ++bits) {
+ for (uint32_t fpbits = 0; fpbits <= 512; ++fpbits) {
+ std::vector<size_t> table_max_elements(1025);
+ for (size_t capacity = 0; capacity <= 1024; ++capacity) {
+ table_max_elements[capacity] = minisketch_compute_max_elements(bits, capacity, fpbits);
+ // Exception for bits==0
+ if (bits == 0) CHECK(table_max_elements[capacity] == 0);
+ // A sketch with capacity N cannot guarantee decoding more than N elements.
+ CHECK(table_max_elements[capacity] <= capacity);
+ // When asking for N bits of false positive protection, either no solution exists, or no more than ceil(N / bits) excess capacity should be needed.
+ if (bits > 0) CHECK(table_max_elements[capacity] == 0 || capacity - table_max_elements[capacity] <= (fpbits + bits - 1) / bits);
+ // Increasing capacity by one, if there is a solution, should always increment the max_elements by at least one as well.
+ if (capacity > 0) CHECK(table_max_elements[capacity] == 0 || table_max_elements[capacity] > table_max_elements[capacity - 1]);
+ }
+
+ std::vector<size_t> table_capacity(513);
+ for (size_t max_elements = 0; max_elements <= 512; ++max_elements) {
+ table_capacity[max_elements] = minisketch_compute_capacity(bits, max_elements, fpbits);
+ // Exception for bits==0
+ if (bits == 0) CHECK(table_capacity[max_elements] == 0);
+ // To be able to decode N elements, capacity needs to be at least N.
+ if (bits > 0) CHECK(table_capacity[max_elements] >= max_elements);
+ // A sketch of N bits in total cannot have more than N bits of false positive protection;
+ if (bits > 0) CHECK(bits * table_capacity[max_elements] >= fpbits);
+ // When asking for N bits of false positive protection, no more than ceil(N / bits) excess capacity should be needed.
+ if (bits > 0) CHECK(table_capacity[max_elements] - max_elements <= (fpbits + bits - 1) / bits);
+ // Increasing max_elements by one can only increment the capacity by 0 or 1.
+ if (max_elements > 0 && fpbits < 256) CHECK(table_capacity[max_elements] == table_capacity[max_elements - 1] || table_capacity[max_elements] == table_capacity[max_elements - 1] + 1);
+ // Check round-tripping max_elements->capacity->max_elements (only a lower bound)
+ CHECK(table_capacity[max_elements] <= 1024);
+ CHECK(table_max_elements[table_capacity[max_elements]] == 0 || table_max_elements[table_capacity[max_elements]] >= max_elements);
+ }
+
+ for (size_t capacity = 0; capacity <= 512; ++capacity) {
+ // Check round-tripping capacity->max_elements->capacity (exact, if it exists)
+ CHECK(table_max_elements[capacity] <= 512);
+ CHECK(table_max_elements[capacity] == 0 || table_capacity[table_max_elements[capacity]] == capacity);
+ }
+ }
+ }
+}
+
+} // namespace
+
+int main(int argc, char** argv) {
+ uint64_t test_complexity = 4;
+ if (argc > 1) {
+ size_t len = 0;
+ std::string arg{argv[1]};
+ try {
+ test_complexity = 0;
+ long long complexity = std::stoll(arg, &len);
+ if (complexity >= 1 && len == arg.size() && ((uint64_t)complexity <= std::numeric_limits<uint64_t>::max() >> 10)) {
+ test_complexity = complexity;
+ }
+ } catch (const std::logic_error&) {}
+ if (test_complexity == 0) {
+ fprintf(stderr, "Invalid complexity specified: '%s'\n", arg.c_str());
+ return 1;
+ }
+ }
+
+#ifdef MINISKETCH_VERIFY
+ const char* mode = " in verify mode";
+#else
+ const char* mode = "";
+#endif
+ printf("Running libminisketch tests%s with complexity=%llu\n", mode, (unsigned long long)test_complexity);
+
+ TestComputeFunctions();
+
+ for (unsigned j = 2; j <= 64; ++j) {
+ TestRandomized(j, 8, (test_complexity << 10) / j);
+ TestRandomized(j, 128, (test_complexity << 7) / j);
+ TestRandomized(j, 4096, test_complexity / j);
+ }
+
+ // Test capacity==0 together with all field sizes, and then
+ // all combinations of bits and capacity up to a certain bits*capacity,
+ // depending on test_complexity.
+ for (int weight = 0; weight <= 40; ++weight) {
+ for (int bits = 2; weight == 0 ? bits <= 64 : (bits <= 32 && bits <= weight); ++bits) {
+ int capacity = weight / bits;
+ if (capacity * bits != weight) continue;
+ TestExhaustive(bits, capacity);
+ }
+ if (weight >= 16 && test_complexity >> (weight - 16) == 0) break;
+ }
+
+ printf("All tests successful.\n");
+ return 0;
+}
diff --git a/src/minisketch/src/util.h b/src/minisketch/src/util.h
new file mode 100644
index 0000000000..fdb3f3a231
--- /dev/null
+++ b/src/minisketch/src/util.h
@@ -0,0 +1,74 @@
+/**********************************************************************
+ * Copyright (c) 2018 Pieter Wuille, Greg Maxwell, Gleb Naumenko *
+ * Distributed under the MIT software license, see the accompanying *
+ * file LICENSE or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef _MINISKETCH_UTIL_H_
+#define _MINISKETCH_UTIL_H_
+
+#ifdef MINISKETCH_VERIFY
+#include <stdio.h>
+#endif
+
+#if !defined(__GNUC_PREREQ)
+# if defined(__GNUC__)&&defined(__GNUC_MINOR__)
+# define __GNUC_PREREQ(_maj,_min) \
+ ((__GNUC__<<16)+__GNUC_MINOR__>=((_maj)<<16)+(_min))
+# else
+# define __GNUC_PREREQ(_maj,_min) 0
+# endif
+#endif
+
+#if __GNUC_PREREQ(3, 0)
+#define EXPECT(x,c) __builtin_expect((x),(c))
+#else
+#define EXPECT(x,c) (x)
+#endif
+
+/* Assertion macros */
+
+/**
+ * Unconditional failure on condition failure.
+ * Primarily used in testing harnesses.
+ */
+#define CHECK(cond) do { \
+ if (EXPECT(!(cond), 0)) { \
+ fprintf(stderr, "%s:%d: %s\n", __FILE__, __LINE__, "Check condition failed: " #cond); \
+ abort(); \
+ } \
+} while(0)
+
+/**
+ * Check macro that does nothing in normal non-verify builds but crashes in verify builds.
+ * This is used to test conditions at runtime that should always be true, but are either
+ * expensive to test or in locations where returning on failure would be messy.
+ */
+#ifdef MINISKETCH_VERIFY
+#define CHECK_SAFE(cond) CHECK(cond)
+#else
+#define CHECK_SAFE(cond)
+#endif
+
+/**
+ * Check a condition and return on failure in non-verify builds, crash in verify builds.
+ * Used for inexpensive conditions which believed to be always true in locations where
+ * a graceful exit is possible.
+ */
+#ifdef MINISKETCH_VERIFY
+#define CHECK_RETURN(cond, rvar) do { \
+ if (EXPECT(!(cond), 0)) { \
+ fprintf(stderr, "%s:%d: %s\n", __FILE__, __LINE__, "Check condition failed: " #cond); \
+ abort(); \
+ return rvar; /* Does nothing, but causes compile to warn on incorrect return types. */ \
+ } \
+} while(0)
+#else
+#define CHECK_RETURN(cond, rvar) do { \
+ if (EXPECT(!(cond), 0)) { \
+ return rvar; \
+ } \
+} while(0)
+#endif
+
+#endif
diff --git a/src/minisketch/tests/pyminisketch.py b/src/minisketch/tests/pyminisketch.py
new file mode 100755
index 0000000000..7a9ea9c1f1
--- /dev/null
+++ b/src/minisketch/tests/pyminisketch.py
@@ -0,0 +1,507 @@
+#!/usr/bin/env python3
+# Copyright (c) 2020 Pieter Wuille
+# Distributed under the MIT software license, see the accompanying
+# file LICENSE or http://www.opensource.org/licenses/mit-license.php.
+
+"""Native Python (slow) reimplementation of libminisketch' algorithms."""
+
+import random
+import unittest
+
+# Irreducible polynomials over GF(2) to use (represented as integers).
+#
+# Most fields can be defined by multiple such polynomials. Minisketch uses the one with the minimal
+# number of nonzero coefficients, and tie-breaking by picking the lexicographically first among
+# those.
+#
+# All polynomials for degrees 2 through 64 (inclusive) are given.
+GF2_MODULI = [
+ None, None,
+ 2**2 + 2**1 + 1,
+ 2**3 + 2**1 + 1,
+ 2**4 + 2**1 + 1,
+ 2**5 + 2**2 + 1,
+ 2**6 + 2**1 + 1,
+ 2**7 + 2**1 + 1,
+ 2**8 + 2**4 + 2**3 + 2**1 + 1,
+ 2**9 + 2**1 + 1,
+ 2**10 + 2**3 + 1,
+ 2**11 + 2**2 + 1,
+ 2**12 + 2**3 + 1,
+ 2**13 + 2**4 + 2**3 + 2**1 + 1,
+ 2**14 + 2**5 + 1,
+ 2**15 + 2**1 + 1,
+ 2**16 + 2**5 + 2**3 + 2**1 + 1,
+ 2**17 + 2**3 + 1,
+ 2**18 + 2**3 + 1,
+ 2**19 + 2**5 + 2**2 + 2**1 + 1,
+ 2**20 + 2**3 + 1,
+ 2**21 + 2**2 + 1,
+ 2**22 + 2**1 + 1,
+ 2**23 + 2**5 + 1,
+ 2**24 + 2**4 + 2**3 + 2**1 + 1,
+ 2**25 + 2**3 + 1,
+ 2**26 + 2**4 + 2**3 + 2**1 + 1,
+ 2**27 + 2**5 + 2**2 + 2**1 + 1,
+ 2**28 + 2**1 + 1,
+ 2**29 + 2**2 + 1,
+ 2**30 + 2**1 + 1,
+ 2**31 + 2**3 + 1,
+ 2**32 + 2**7 + 2**3 + 2**2 + 1,
+ 2**33 + 2**10 + 1,
+ 2**34 + 2**7 + 1,
+ 2**35 + 2**2 + 1,
+ 2**36 + 2**9 + 1,
+ 2**37 + 2**6 + 2**4 + 2**1 + 1,
+ 2**38 + 2**6 + 2**5 + 2**1 + 1,
+ 2**39 + 2**4 + 1,
+ 2**40 + 2**5 + 2**4 + 2**3 + 1,
+ 2**41 + 2**3 + 1,
+ 2**42 + 2**7 + 1,
+ 2**43 + 2**6 + 2**4 + 2**3 + 1,
+ 2**44 + 2**5 + 1,
+ 2**45 + 2**4 + 2**3 + 2**1 + 1,
+ 2**46 + 2**1 + 1,
+ 2**47 + 2**5 + 1,
+ 2**48 + 2**5 + 2**3 + 2**2 + 1,
+ 2**49 + 2**9 + 1,
+ 2**50 + 2**4 + 2**3 + 2**2 + 1,
+ 2**51 + 2**6 + 2**3 + 2**1 + 1,
+ 2**52 + 2**3 + 1,
+ 2**53 + 2**6 + 2**2 + 2**1 + 1,
+ 2**54 + 2**9 + 1,
+ 2**55 + 2**7 + 1,
+ 2**56 + 2**7 + 2**4 + 2**2 + 1,
+ 2**57 + 2**4 + 1,
+ 2**58 + 2**19 + 1,
+ 2**59 + 2**7 + 2**4 + 2**2 + 1,
+ 2**60 + 2**1 + 1,
+ 2**61 + 2**5 + 2**2 + 2**1 + 1,
+ 2**62 + 2**29 + 1,
+ 2**63 + 2**1 + 1,
+ 2**64 + 2**4 + 2**3 + 2**1 + 1
+]
+
+class GF2Ops:
+ """Class to perform GF(2^field_size) operations on elements represented as integers.
+
+ Given that elements are represented as integers, addition is simply xor, and not
+ exposed here.
+ """
+
+ def __init__(self, field_size):
+ """Construct a GF2Ops object for the specified field size."""
+ self.field_size = field_size
+ self._modulus = GF2_MODULI[field_size]
+ assert self._modulus is not None
+
+ def mul2(self, x):
+ """Multiply x by 2 in GF(2^field_size)."""
+ x <<= 1
+ if x >> self.field_size:
+ x ^= self._modulus
+ return x
+
+ def mul(self, x, y):
+ """Multiply x by y in GF(2^field_size)."""
+ ret = 0
+ while y:
+ if y & 1:
+ ret ^= x
+ y >>= 1
+ x = self.mul2(x)
+ return ret
+
+ def sqr(self, x):
+ """Square x in GF(2^field_size)."""
+ return self.mul(x, x)
+
+ def inv(self, x):
+ """Compute the inverse of x in GF(2^field_size)."""
+ assert x != 0
+ # Use the extended polynomial Euclidean GCD algorithm on (modulus, x), over GF(2).
+ # See https://en.wikipedia.org/wiki/Polynomial_greatest_common_divisor.
+ t1, t2 = 0, 1
+ r1, r2 = self._modulus, x
+ r1l, r2l = self.field_size + 1, r2.bit_length()
+ while r2:
+ q = r1l - r2l
+ r1 ^= r2 << q
+ t1 ^= t2 << q
+ r1l = r1.bit_length()
+ if r1 < r2:
+ t1, t2 = t2, t1
+ r1, r2 = r2, r1
+ r1l, r2l = r2l, r1l
+ assert r1 == 1
+ return t1
+
+class TestGF2Ops(unittest.TestCase):
+ """Test class for basic arithmetic properties of GF2Ops."""
+
+ def field_size_test(self, field_size):
+ """Test operations for given field_size."""
+
+ gf = GF2Ops(field_size)
+ for i in range(100):
+ x = random.randrange(1 << field_size)
+ y = random.randrange(1 << field_size)
+ x2 = gf.mul2(x)
+ xy = gf.mul(x, y)
+ self.assertEqual(x2, gf.mul(x, 2)) # mul2(x) == x*2
+ self.assertEqual(x2, gf.mul(2, x)) # mul2(x) == 2*x
+ self.assertEqual(xy == 0, x == 0 or y == 0)
+ self.assertEqual(xy == x, y == 1 or x == 0)
+ self.assertEqual(xy == y, x == 1 or y == 0)
+ self.assertEqual(xy, gf.mul(y, x)) # x*y == y*x
+ if i < 10:
+ xp = x
+ for _ in range(field_size):
+ xp = gf.sqr(xp)
+ self.assertEqual(xp, x) # x^(2^field_size) == x
+ if y != 0:
+ yi = gf.inv(y)
+ self.assertEqual(y == yi, y == 1) # y==1/x iff y==1
+ self.assertEqual(gf.mul(y, yi), 1) # y*(1/y) == 1
+ yii = gf.inv(yi)
+ self.assertEqual(y, yii) # 1/(1/y) == y
+ if x != 0:
+ xi = gf.inv(x)
+ xyi = gf.inv(xy)
+ self.assertEqual(xyi, gf.mul(xi, yi)) # (1/x)*(1/y) == 1/(x*y)
+
+ def test(self):
+ """Run tests."""
+ for field_size in range(2, 65):
+ self.field_size_test(field_size)
+
+# The operations below operate on polynomials over GF(2^field_size), represented as lists of
+# integers:
+#
+# [a, b, c, ...] = a + b*x + c*x^2 + ...
+#
+# As an invariant, there are never any trailing zeroes in the list representation.
+#
+# Examples:
+# * [] = 0
+# * [3] = 3
+# * [0, 1] = x
+# * [2, 0, 5] = 5*x^2 + 2
+
+def poly_monic(poly, gf):
+ """Return a monic version of the polynomial poly."""
+ # Multiply every coefficient with the inverse of the top coefficient.
+ inv = gf.inv(poly[-1])
+ return [gf.mul(inv, v) for v in poly]
+
+def poly_divmod(poly, mod, gf):
+ """Return the polynomial (quotient, remainder) of poly divided by mod."""
+ assert len(mod) > 0 and mod[-1] == 1 # Require monic mod.
+ if len(poly) < len(mod):
+ return ([], poly)
+ val = list(poly)
+ div = [0 for _ in range(len(val) - len(mod) + 1)]
+ while len(val) >= len(mod):
+ term = val[-1]
+ div[len(val) - len(mod)] = term
+ # If the highest coefficient in val is nonzero, subtract a multiple of mod from it.
+ val.pop()
+ if term != 0:
+ for x in range(len(mod) - 1):
+ val[1 + x - len(mod)] ^= gf.mul(term, mod[x])
+ # Prune trailing zero coefficients.
+ while len(val) > 0 and val[-1] == 0:
+ val.pop()
+ return div, val
+
+def poly_gcd(a, b, gf):
+ """Return the polynomial GCD of a and b."""
+ if len(a) < len(b):
+ a, b = b, a
+ # Use Euclid's algorithm to find the GCD of a and b.
+ # see https://en.wikipedia.org/wiki/Polynomial_greatest_common_divisor#Euclid's_algorithm.
+ while len(b) > 0:
+ b = poly_monic(b, gf)
+ (_, b), a = poly_divmod(a, b, gf), b
+ return a
+
+def poly_sqr(poly, gf):
+ """Return the square of polynomial poly."""
+ if len(poly) == 0:
+ return []
+ # In characteristic-2 fields, thanks to Frobenius' endomorphism ((a + b)^2 = a^2 + b^2),
+ # squaring a polynomial is easy: square all the coefficients and interleave with zeroes.
+ # E.g., (3 + 5*x + 17*x^2)^2 = 3^2 + (5*x)^2 + (17*x^2)^2.
+ # See https://en.wikipedia.org/wiki/Frobenius_endomorphism.
+ return [0 if i & 1 else gf.sqr(poly[i // 2]) for i in range(2 * len(poly) - 1)]
+
+def poly_tracemod(poly, param, gf):
+ """Compute y + y^2 + y^4 + ... + y^(2^(field_size-1)) mod poly, where y = param*x."""
+ out = [0, param]
+ for _ in range(gf.field_size - 1):
+ # In each loop iteration i, we start with out = y + y^2 + ... + y^(2^i). By squaring that we
+ # transform it into out = y^2 + y^4 + ... + y^(2^(i+1)).
+ out = poly_sqr(out, gf)
+ # Thus, we just need to add y again to it to get out = y + ... + y^(2^(i+1)).
+ while len(out) < 2:
+ out.append(0)
+ out[1] = param
+ # Finally take a modulus to keep the intermediary polynomials small.
+ _, out = poly_divmod(out, poly, gf)
+ return out
+
+def poly_frobeniusmod(poly, gf):
+ """Compute x^(2^field_size) mod poly."""
+ out = [0, 1]
+ for _ in range(gf.field_size):
+ _, out = poly_divmod(poly_sqr(out, gf), poly, gf)
+ return out
+
+def poly_find_roots(poly, gf):
+ """Find the roots of poly if fully factorizable with unique roots, [] otherwise."""
+ assert len(poly) > 0
+ # If the polynomial is constant (and nonzero), it has no roots.
+ if len(poly) == 1:
+ return []
+ # Make the polynomial monic (which doesn't change its roots).
+ poly = poly_monic(poly, gf)
+ # If the polynomial is of the form x+a, return a.
+ if len(poly) == 2:
+ return [poly[0]]
+ # Otherwise, first test that poly can be completely factored into unique roots. The polynomial
+ # x^(2^fieldsize)-x has every field element once as root. Thus we want to know that that is a
+ # multiple of poly. Compute x^(field_size) mod poly, which needs to equal x if that is the case
+ # (unless poly has degree <= 1, but that case is handled above).
+ if poly_frobeniusmod(poly, gf) != [0, 1]:
+ return []
+
+ def rec_split(poly, randv):
+ """Recursively split poly using the Berlekamp trace algorithm."""
+ # See https://hal.archives-ouvertes.fr/hal-00626997/document.
+ assert len(poly) > 1 and poly[-1] == 1 # Require a monic poly.
+ # If poly is of the form x+a, its root is a.
+ if len(poly) == 2:
+ return [poly[0]]
+ # Try consecutive randomization factors randv, until one is found that factors poly.
+ while True:
+ # Compute the trace of (randv*x) mod poly. This is a polynomial that maps half of the
+ # domain to 0, and the other half to 1. Which half that is is controlled by randv.
+ # By taking it modulo poly, we only add a multiple of poly. Thus the result has at least
+ # the shared roots of the trace polynomial and poly still, but may have others.
+ trace = poly_tracemod(poly, randv, gf)
+ # Using the set {2^i*a for i=0..fieldsize-1} gives optimally independent randv values
+ # (no more than fieldsize are ever needed).
+ randv = gf.mul2(randv)
+ # Now take the GCD of this trace polynomial with poly. The result is a polynomial
+ # that only has the shared roots of the trace polynomial and poly as roots.
+ gcd = poly_gcd(trace, poly, gf)
+ # If the result has a degree higher than 1, and lower than that of poly, we found a
+ # useful factorization.
+ if len(gcd) != len(poly) and len(gcd) > 1:
+ break
+ # Otherwise, continue with another randv.
+ # Find the actual factors: the monic version of the GCD above, and poly divided by it.
+ factor1 = poly_monic(gcd, gf)
+ factor2, _ = poly_divmod(poly, gcd, gf)
+ # Recurse.
+ return rec_split(factor1, randv) + rec_split(factor2, randv)
+
+ # Invoke the recursive splitting with a random initial factor, and sort the results.
+ return sorted(rec_split(poly, random.randrange(1, 1 << gf.field_size)))
+
+class TestPolyFindRoots(unittest.TestCase):
+ """Test class for poly_find_roots."""
+
+ def field_size_test(self, field_size):
+ """Run tests for given field_size."""
+ gf = GF2Ops(field_size)
+ for test_size in [0, 1, 2, 3, 10]:
+ roots = [random.randrange(1 << field_size) for _ in range(test_size)]
+ roots_set = set(roots)
+ # Construct a polynomial with all elements of roots as roots (with multiplicity).
+ poly = [1]
+ for root in roots:
+ new_poly = [0] + poly
+ for n, c in enumerate(poly):
+ new_poly[n] ^= gf.mul(c, root)
+ poly = new_poly
+ # Invoke the root finding algorithm.
+ found_roots = poly_find_roots(poly, gf)
+ # The result must match the input, unless any roots were repeated.
+ if len(roots) == len(roots_set):
+ self.assertEqual(found_roots, sorted(roots))
+ else:
+ self.assertEqual(found_roots, [])
+
+ def test(self):
+ """Run tests."""
+ for field_size in range(2, 65):
+ self.field_size_test(field_size)
+
+def berlekamp_massey(syndromes, gf):
+ """Implement the Berlekamp-Massey algorithm.
+
+ Takes as input a sequence of GF(2^field_size) elements, and returns the shortest LSFR
+ that generates it, represented as a polynomial.
+ """
+ # See https://en.wikipedia.org/wiki/Berlekamp%E2%80%93Massey_algorithm.
+ current = [1]
+ prev = [1]
+ b_inv = 1
+ for n, discrepancy in enumerate(syndromes):
+ # Compute discrepancy
+ for i in range(1, len(current)):
+ discrepancy ^= gf.mul(syndromes[n - i], current[i])
+
+ # Correct if discrepancy is nonzero.
+ if discrepancy:
+ x = n + 1 - (len(current) - 1) - (len(prev) - 1)
+ if 2 * (len(current) - 1) <= n:
+ tmp = list(current)
+ current.extend(0 for _ in range(len(prev) + x - len(current)))
+ mul = gf.mul(discrepancy, b_inv)
+ for i, v in enumerate(prev):
+ current[i + x] ^= gf.mul(mul, v)
+ prev = tmp
+ b_inv = gf.inv(discrepancy)
+ else:
+ mul = gf.mul(discrepancy, b_inv)
+ for i, v in enumerate(prev):
+ current[i + x] ^= gf.mul(mul, v)
+ return current
+
+class Minisketch:
+ """A Minisketch sketch.
+
+ This represents a sketch of a certain capacity, with elements of a certain bit size.
+ """
+
+ def __init__(self, field_size, capacity):
+ """Initialize an empty sketch with the specified field_size size and capacity."""
+ self.field_size = field_size
+ self.capacity = capacity
+ self.odd_syndromes = [0] * capacity
+ self.gf = GF2Ops(field_size)
+
+ def add(self, element):
+ """Add an element to this sketch. 1 <= element < 2**field_size."""
+ sqr = self.gf.sqr(element)
+ for pos in range(self.capacity):
+ self.odd_syndromes[pos] ^= element
+ element = self.gf.mul(sqr, element)
+
+ def serialized_size(self):
+ """Compute how many bytes a serialization of this sketch will be in size."""
+ return (self.capacity * self.field_size + 7) // 8
+
+ def serialize(self):
+ """Serialize this sketch to bytes."""
+ val = 0
+ for i in range(self.capacity):
+ val |= self.odd_syndromes[i] << (self.field_size * i)
+ return val.to_bytes(self.serialized_size(), 'little')
+
+ def deserialize(self, byte_data):
+ """Deserialize a byte array into this sketch, overwriting its contents."""
+ assert len(byte_data) == self.serialized_size()
+ val = int.from_bytes(byte_data, 'little')
+ for i in range(self.capacity):
+ self.odd_syndromes[i] = (val >> (self.field_size * i)) & ((1 << self.field_size) - 1)
+
+ def clone(self):
+ """Return a clone of this sketch."""
+ ret = Minisketch(self.field_size, self.capacity)
+ ret.odd_syndromes = list(self.odd_syndromes)
+ ret.gf = self.gf
+ return ret
+
+ def merge(self, other):
+ """Merge a sketch with another sketch. Corresponds to XOR'ing their serializations."""
+ assert self.capacity == other.capacity
+ assert self.field_size == other.field_size
+ for i in range(self.capacity):
+ self.odd_syndromes[i] ^= other.odd_syndromes[i]
+
+ def decode(self, max_count=None):
+ """Decode the contents of this sketch.
+
+ Returns either a list of elements or None if undecodable.
+ """
+ # We know the odd syndromes s1=x+y+..., s3=x^3+y^3+..., s5=..., and reconstruct the even
+ # syndromes from this:
+ # * s2 = x^2+y^2+.... = (x+y+...)^2 = s1^2
+ # * s4 = x^4+y^4+.... = (x^2+y^2+...)^2 = s2^2
+ # * s6 = x^6+y^6+.... = (x^3+y^3+...)^2 = s3^2
+ all_syndromes = [0 for _ in range(2 * len(self.odd_syndromes))]
+ for i in range(len(self.odd_syndromes)):
+ all_syndromes[i * 2] = self.odd_syndromes[i]
+ all_syndromes[i * 2 + 1] = self.gf.sqr(all_syndromes[i])
+ # Given the syndromes, find the polynomial that generates them.
+ poly = berlekamp_massey(all_syndromes, self.gf)
+ # Deal with failure and trivial cases.
+ if len(poly) == 0:
+ return None
+ if len(poly) == 1:
+ return []
+ if max_count is not None and len(poly) > 1 + max_count:
+ return None
+ # If the polynomial can be factored into (1-m1*x)*(1-m2*x)*...*(1-mn*x), then {m1,m2,...,mn}
+ # is our set. As each factor (1-m*x) has 1/m as root, we're really just looking for the
+ # inverses of the roots. We find these by reversing the order of the coefficients, and
+ # finding the roots.
+ roots = poly_find_roots(list(reversed(poly)), self.gf)
+ if len(roots) == 0:
+ return None
+ return roots
+
+class TestMinisketch(unittest.TestCase):
+ """Test class for Minisketch."""
+
+ @classmethod
+ def construct_data(cls, field_size, num_a_only, num_b_only, num_both):
+ """Construct two random lists of elements in [1..2**field_size-1].
+
+ Each list will have unique elements that don't appear in the other (num_a_only in the first
+ and num_b_only in the second), and num_both elements will appear in both."""
+ sample = []
+ # Simulate random.sample here (which doesn't work with ranges over 2**63).
+ for _ in range(num_a_only + num_b_only + num_both):
+ while True:
+ r = random.randrange(1, 1 << field_size)
+ if r not in sample:
+ sample.append(r)
+ break
+ full_a = sample[:num_a_only + num_both]
+ full_b = sample[num_a_only:]
+ random.shuffle(full_a)
+ random.shuffle(full_b)
+ return full_a, full_b
+
+ def field_size_capacity_test(self, field_size, capacity):
+ """Test Minisketch methods for a specific field and capacity."""
+ used_capacity = random.randrange(capacity + 1)
+ num_a = random.randrange(used_capacity + 1)
+ num_both = random.randrange(min(2 * capacity, (1 << field_size) - 1 - used_capacity) + 1)
+ full_a, full_b = self.construct_data(field_size, num_a, used_capacity - num_a, num_both)
+ sketch_a = Minisketch(field_size, capacity)
+ sketch_b = Minisketch(field_size, capacity)
+ for v in full_a:
+ sketch_a.add(v)
+ for v in full_b:
+ sketch_b.add(v)
+ sketch_combined = sketch_a.clone()
+ sketch_b_ser = sketch_b.serialize()
+ sketch_b_received = Minisketch(field_size, capacity)
+ sketch_b_received.deserialize(sketch_b_ser)
+ sketch_combined.merge(sketch_b_received)
+ decode = sketch_combined.decode()
+ self.assertEqual(decode, sorted(set(full_a) ^ set(full_b)))
+
+ def test(self):
+ """Run tests."""
+ for field_size in range(2, 65):
+ for capacity in [0, 1, 2, 5, 10, field_size]:
+ self.field_size_capacity_test(field_size, min(capacity, (1 << field_size) - 1))
+
+if __name__ == '__main__':
+ unittest.main()
diff --git a/src/net.cpp b/src/net.cpp
index 513328897b..bee8710062 100644
--- a/src/net.cpp
+++ b/src/net.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,21 +9,28 @@
#include <net.h>
+#include <addrdb.h>
+#include <addrman.h>
#include <banman.h>
#include <clientversion.h>
#include <compat.h>
#include <consensus/consensus.h>
#include <crypto/sha256.h>
+#include <fs.h>
#include <i2p.h>
#include <net_permissions.h>
+#include <netaddress.h>
#include <netbase.h>
#include <node/ui_interface.h>
-#include <optional.h>
#include <protocol.h>
#include <random.h>
#include <scheduler.h>
#include <util/sock.h>
#include <util/strencodings.h>
+#include <util/syscall_sandbox.h>
+#include <util/system.h>
+#include <util/thread.h>
+#include <util/trace.h>
#include <util/translation.h>
#ifdef WIN32
@@ -32,13 +39,19 @@
#include <fcntl.h>
#endif
+#if HAVE_DECL_GETIFADDRS && HAVE_DECL_FREEIFADDRS
+#include <ifaddrs.h>
+#endif
+
#ifdef USE_POLL
#include <poll.h>
#endif
#include <algorithm>
+#include <array>
#include <cstdint>
#include <functional>
+#include <optional>
#include <unordered_map>
#include <math.h>
@@ -100,9 +113,9 @@ static const uint64_t RANDOMIZER_ID_ADDRCACHE = 0x1cf2e4ddd306dda9ULL; // SHA256
//
bool fDiscover = true;
bool fListen = true;
-RecursiveMutex cs_mapLocalHost;
-std::map<CNetAddr, LocalServiceInfo> mapLocalHost GUARDED_BY(cs_mapLocalHost);
-static bool vfLimited[NET_MAX] GUARDED_BY(cs_mapLocalHost) = {};
+Mutex g_maplocalhost_mutex;
+std::map<CNetAddr, LocalServiceInfo> mapLocalHost GUARDED_BY(g_maplocalhost_mutex);
+static bool vfLimited[NET_MAX] GUARDED_BY(g_maplocalhost_mutex) = {};
std::string strSubVersion;
void CConnman::AddAddrFetch(const std::string& strDest)
@@ -113,7 +126,7 @@ void CConnman::AddAddrFetch(const std::string& strDest)
uint16_t GetListenPort()
{
- return (uint16_t)(gArgs.GetArg("-port", Params().GetDefaultPort()));
+ return static_cast<uint16_t>(gArgs.GetIntArg("-port", Params().GetDefaultPort()));
}
// find 'best' local address for a particular peer
@@ -125,7 +138,7 @@ bool GetLocal(CService& addr, const CNetAddr *paddrPeer)
int nBestScore = -1;
int nBestReachability = -1;
{
- LOCK(cs_mapLocalHost);
+ LOCK(g_maplocalhost_mutex);
for (const auto& entry : mapLocalHost)
{
int nScore = entry.second.nScore;
@@ -141,8 +154,8 @@ bool GetLocal(CService& addr, const CNetAddr *paddrPeer)
return nBestScore >= 0;
}
-//! Convert the pnSeed6 array into usable address objects.
-static std::vector<CAddress> convertSeed6(const std::vector<SeedSpec6> &vSeedsIn)
+//! Convert the serialized seeds into usable address objects.
+static std::vector<CAddress> ConvertSeeds(const std::vector<uint8_t> &vSeedsIn)
{
// It'll only connect to one or two seed nodes because once it connects,
// it'll get a pile of addresses with newer timestamps.
@@ -150,13 +163,14 @@ static std::vector<CAddress> convertSeed6(const std::vector<SeedSpec6> &vSeedsIn
// weeks ago.
const int64_t nOneWeek = 7*24*60*60;
std::vector<CAddress> vSeedsOut;
- vSeedsOut.reserve(vSeedsIn.size());
FastRandomContext rng;
- for (const auto& seed_in : vSeedsIn) {
- struct in6_addr ip;
- memcpy(&ip, seed_in.addr, sizeof(ip));
- CAddress addr(CService(ip, seed_in.port), GetDesirableServiceFlags(NODE_NONE));
+ CDataStream s(vSeedsIn, SER_NETWORK, PROTOCOL_VERSION | ADDRV2_FORMAT);
+ while (!s.eof()) {
+ CService endpoint;
+ s >> endpoint;
+ CAddress addr{endpoint, GetDesirableServiceFlags(NODE_NONE)};
addr.nTime = GetTime() - rng.randrange(nOneWeek) - nOneWeek;
+ LogPrint(BCLog::NET, "Added hardcoded seed: %s\n", addr.ToString());
vSeedsOut.push_back(addr);
}
return vSeedsOut;
@@ -180,9 +194,9 @@ CAddress GetLocalAddress(const CNetAddr *paddrPeer, ServiceFlags nLocalServices)
static int GetnScore(const CService& addr)
{
- LOCK(cs_mapLocalHost);
- if (mapLocalHost.count(addr) == 0) return 0;
- return mapLocalHost[addr].nScore;
+ LOCK(g_maplocalhost_mutex);
+ const auto it = mapLocalHost.find(addr);
+ return (it != mapLocalHost.end()) ? it->second.nScore : 0;
}
// Is our peer's addrLocal potentially useful as an external IP source?
@@ -193,7 +207,7 @@ bool IsPeerAddrLocalGood(CNode *pnode)
IsReachable(addrLocal.GetNetwork());
}
-Optional<CAddress> GetLocalAddrForPeer(CNode *pnode)
+std::optional<CAddress> GetLocalAddrForPeer(CNode *pnode)
{
CAddress addrLocal = GetLocalAddress(&pnode->addr, pnode->GetLocalServices());
if (gArgs.GetBoolArg("-addrmantest", false)) {
@@ -215,12 +229,30 @@ Optional<CAddress> GetLocalAddrForPeer(CNode *pnode)
return addrLocal;
}
// Address is unroutable. Don't advertise.
- return nullopt;
+ return std::nullopt;
+}
+
+/**
+ * If an IPv6 address belongs to the address range used by the CJDNS network and
+ * the CJDNS network is reachable (-cjdnsreachable config is set), then change
+ * the type from NET_IPV6 to NET_CJDNS.
+ * @param[in] service Address to potentially convert.
+ * @return a copy of `service` either unmodified or changed to CJDNS.
+ */
+CService MaybeFlipIPv6toCJDNS(const CService& service)
+{
+ CService ret{service};
+ if (ret.m_net == NET_IPV6 && ret.m_addr[0] == 0xfc && IsReachable(NET_CJDNS)) {
+ ret.m_net = NET_CJDNS;
+ }
+ return ret;
}
// learn a new local address
-bool AddLocal(const CService& addr, int nScore)
+bool AddLocal(const CService& addr_, int nScore)
{
+ CService addr{MaybeFlipIPv6toCJDNS(addr_)};
+
if (!addr.IsRoutable())
return false;
@@ -233,11 +265,11 @@ bool AddLocal(const CService& addr, int nScore)
LogPrintf("AddLocal(%s,%i)\n", addr.ToString(), nScore);
{
- LOCK(cs_mapLocalHost);
- bool fAlready = mapLocalHost.count(addr) > 0;
- LocalServiceInfo &info = mapLocalHost[addr];
- if (!fAlready || nScore >= info.nScore) {
- info.nScore = nScore + (fAlready ? 1 : 0);
+ LOCK(g_maplocalhost_mutex);
+ const auto [it, is_newly_added] = mapLocalHost.emplace(addr, LocalServiceInfo());
+ LocalServiceInfo &info = it->second;
+ if (is_newly_added || nScore >= info.nScore) {
+ info.nScore = nScore + (is_newly_added ? 0 : 1);
info.nPort = addr.GetPort();
}
}
@@ -252,7 +284,7 @@ bool AddLocal(const CNetAddr &addr, int nScore)
void RemoveLocal(const CService& addr)
{
- LOCK(cs_mapLocalHost);
+ LOCK(g_maplocalhost_mutex);
LogPrintf("RemoveLocal(%s)\n", addr.ToString());
mapLocalHost.erase(addr);
}
@@ -261,13 +293,13 @@ void SetReachable(enum Network net, bool reachable)
{
if (net == NET_UNROUTABLE || net == NET_INTERNAL)
return;
- LOCK(cs_mapLocalHost);
+ LOCK(g_maplocalhost_mutex);
vfLimited[net] = !reachable;
}
bool IsReachable(enum Network net)
{
- LOCK(cs_mapLocalHost);
+ LOCK(g_maplocalhost_mutex);
return !vfLimited[net];
}
@@ -279,12 +311,10 @@ bool IsReachable(const CNetAddr &addr)
/** vote for a local address */
bool SeenLocal(const CService& addr)
{
- {
- LOCK(cs_mapLocalHost);
- if (mapLocalHost.count(addr) == 0)
- return false;
- mapLocalHost[addr].nScore++;
- }
+ LOCK(g_maplocalhost_mutex);
+ const auto it = mapLocalHost.find(addr);
+ if (it == mapLocalHost.end()) return false;
+ ++it->second.nScore;
return true;
}
@@ -292,14 +322,14 @@ bool SeenLocal(const CService& addr)
/** check whether a given address is potentially local */
bool IsLocal(const CService& addr)
{
- LOCK(cs_mapLocalHost);
+ LOCK(g_maplocalhost_mutex);
return mapLocalHost.count(addr) > 0;
}
CNode* CConnman::FindNode(const CNetAddr& ip)
{
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (CNode* pnode : m_nodes) {
if (static_cast<CNetAddr>(pnode->addr) == ip) {
return pnode;
}
@@ -309,8 +339,8 @@ CNode* CConnman::FindNode(const CNetAddr& ip)
CNode* CConnman::FindNode(const CSubNet& subNet)
{
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (CNode* pnode : m_nodes) {
if (subNet.Match(static_cast<CNetAddr>(pnode->addr))) {
return pnode;
}
@@ -320,9 +350,9 @@ CNode* CConnman::FindNode(const CSubNet& subNet)
CNode* CConnman::FindNode(const std::string& addrName)
{
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes) {
- if (pnode->GetAddrName() == addrName) {
+ LOCK(m_nodes_mutex);
+ for (CNode* pnode : m_nodes) {
+ if (pnode->m_addr_name == addrName) {
return pnode;
}
}
@@ -331,8 +361,8 @@ CNode* CConnman::FindNode(const std::string& addrName)
CNode* CConnman::FindNode(const CService& addr)
{
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (CNode* pnode : m_nodes) {
if (static_cast<CService>(pnode->addr) == addr) {
return pnode;
}
@@ -347,8 +377,8 @@ bool CConnman::AlreadyConnectedToAddress(const CAddress& addr)
bool CConnman::CheckIncomingNonce(uint64_t nonce)
{
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
if (!pnode->fSuccessfullyConnected && !pnode->IsInboundConn() && pnode->GetLocalNonce() == nonce)
return false;
}
@@ -394,24 +424,22 @@ CNode* CConnman::ConnectNode(CAddress addrConnect, const char *pszDest, bool fCo
pszDest ? 0.0 : (double)(GetAdjustedTime() - addrConnect.nTime)/3600.0);
// Resolve
- const int default_port = Params().GetDefaultPort();
+ const uint16_t default_port{pszDest != nullptr ? Params().GetDefaultPort(pszDest) :
+ Params().GetDefaultPort()};
if (pszDest) {
std::vector<CService> resolved;
if (Lookup(pszDest, resolved, default_port, fNameLookup && !HaveNameProxy(), 256) && !resolved.empty()) {
- addrConnect = CAddress(resolved[GetRand(resolved.size())], NODE_NONE);
+ const CService rnd{resolved[GetRand(resolved.size())]};
+ addrConnect = CAddress{MaybeFlipIPv6toCJDNS(rnd), NODE_NONE};
if (!addrConnect.IsValid()) {
LogPrint(BCLog::NET, "Resolver returned invalid address %s for %s\n", addrConnect.ToString(), pszDest);
return nullptr;
}
// It is possible that we already have a connection to the IP/port pszDest resolved to.
- // In that case, drop the connection that was just created, and return the existing CNode instead.
- // Also store the name we used to connect in that CNode, so that future FindNode() calls to that
- // name catch this early.
- LOCK(cs_vNodes);
+ // In that case, drop the connection that was just created.
+ LOCK(m_nodes_mutex);
CNode* pnode = FindNode(static_cast<CService>(addrConnect));
- if (pnode)
- {
- pnode->MaybeSetAddrName(std::string(pszDest));
+ if (pnode) {
LogPrintf("Failed to open new connection, already connected\n");
return nullptr;
}
@@ -432,7 +460,7 @@ CNode* CConnman::ConnectNode(CAddress addrConnect, const char *pszDest, bool fCo
i2p::Connection conn;
if (m_i2p_sam_session->Connect(addrConnect, conn, proxyConnectionFailed)) {
connected = true;
- sock = std::make_unique<Sock>(std::move(conn.sock));
+ sock = std::move(conn.sock);
addr_bind = CAddress{conn.me, NODE_NONE};
}
} else if (GetProxy(addrConnect.GetNetwork(), proxy)) {
@@ -448,7 +476,7 @@ CNode* CConnman::ConnectNode(CAddress addrConnect, const char *pszDest, bool fCo
if (!sock) {
return nullptr;
}
- connected = ConnectSocketDirectly(addrConnect, sock->Get(), nConnectTimeout,
+ connected = ConnectSocketDirectly(addrConnect, *sock, nConnectTimeout,
conn_type == ConnectionType::MANUAL);
}
if (!proxyConnectionFailed) {
@@ -462,7 +490,7 @@ CNode* CConnman::ConnectNode(CAddress addrConnect, const char *pszDest, bool fCo
return nullptr;
}
std::string host;
- int port = default_port;
+ uint16_t port{default_port};
SplitHostPort(std::string(pszDest), port, host);
bool proxyConnectionFailed;
connected = ConnectThroughProxy(proxy, host, port, *sock, nConnectTimeout,
@@ -478,7 +506,16 @@ CNode* CConnman::ConnectNode(CAddress addrConnect, const char *pszDest, bool fCo
if (!addr_bind.IsValid()) {
addr_bind = GetBindAddress(sock->Get());
}
- CNode* pnode = new CNode(id, nLocalServices, sock->Release(), addrConnect, CalculateKeyedNetGroup(addrConnect), nonce, addr_bind, pszDest ? pszDest : "", conn_type, /* inbound_onion */ false);
+ CNode* pnode = new CNode(id,
+ nLocalServices,
+ std::move(sock),
+ addrConnect,
+ CalculateKeyedNetGroup(addrConnect),
+ nonce,
+ addr_bind,
+ pszDest ? pszDest : "",
+ conn_type,
+ /*inbound_onion=*/false);
pnode->AddRef();
// We're making a new connection, harvest entropy from the time (and our peer count)
@@ -490,11 +527,10 @@ CNode* CConnman::ConnectNode(CAddress addrConnect, const char *pszDest, bool fCo
void CNode::CloseSocketDisconnect()
{
fDisconnect = true;
- LOCK(cs_hSocket);
- if (hSocket != INVALID_SOCKET)
- {
+ LOCK(m_sock_mutex);
+ if (m_sock) {
LogPrint(BCLog::NET, "disconnecting peer=%d\n", id);
- CloseSocket(hSocket);
+ m_sock.reset();
}
}
@@ -524,25 +560,16 @@ std::string ConnectionTypeAsString(ConnectionType conn_type)
assert(false);
}
-std::string CNode::GetAddrName() const {
- LOCK(cs_addrName);
- return addrName;
-}
-
-void CNode::MaybeSetAddrName(const std::string& addrNameIn) {
- LOCK(cs_addrName);
- if (addrName.empty()) {
- addrName = addrNameIn;
- }
-}
-
-CService CNode::GetAddrLocal() const {
- LOCK(cs_addrLocal);
+CService CNode::GetAddrLocal() const
+{
+ AssertLockNotHeld(m_addr_local_mutex);
+ LOCK(m_addr_local_mutex);
return addrLocal;
}
void CNode::SetAddrLocal(const CService& addrLocalIn) {
- LOCK(cs_addrLocal);
+ AssertLockNotHeld(m_addr_local_mutex);
+ LOCK(m_addr_local_mutex);
if (addrLocal.IsValid()) {
error("Addr local already set for node: %i. Refusing to change from %s to %s", id, addrLocal.ToString(), addrLocalIn.ToString());
} else {
@@ -557,30 +584,29 @@ Network CNode::ConnectedThroughNetwork() const
#undef X
#define X(name) stats.name = name
-void CNode::copyStats(CNodeStats &stats, const std::vector<bool> &m_asmap)
+void CNode::CopyStats(CNodeStats& stats)
{
stats.nodeid = this->GetId();
X(nServices);
X(addr);
X(addrBind);
stats.m_network = ConnectedThroughNetwork();
- stats.m_mapped_as = addr.GetMappedAS(m_asmap);
if (m_tx_relay != nullptr) {
LOCK(m_tx_relay->cs_filter);
stats.fRelayTxes = m_tx_relay->fRelayTxes;
} else {
stats.fRelayTxes = false;
}
- X(nLastSend);
- X(nLastRecv);
- X(nLastTXTime);
- X(nLastBlockTime);
- X(nTimeConnected);
+ X(m_last_send);
+ X(m_last_recv);
+ X(m_last_tx_time);
+ X(m_last_block_time);
+ X(m_connected);
X(nTimeOffset);
- stats.addrName = GetAddrName();
+ X(m_addr_name);
X(nVersion);
{
- LOCK(cs_SubVer);
+ LOCK(m_subver_mutex);
X(cleanSubVer);
}
stats.fInbound = IsInboundConn();
@@ -619,7 +645,7 @@ bool CNode::ReceiveMsgBytes(Span<const uint8_t> msg_bytes, bool& complete)
complete = false;
const auto time = GetTime<std::chrono::microseconds>();
LOCK(cs_vRecv);
- nLastRecv = std::chrono::duration_cast<std::chrono::seconds>(time).count();
+ m_last_recv = std::chrono::duration_cast<std::chrono::seconds>(time);
nRecvBytes += msg_bytes.size();
while (msg_bytes.size() > 0) {
// absorb network data
@@ -631,25 +657,26 @@ bool CNode::ReceiveMsgBytes(Span<const uint8_t> msg_bytes, bool& complete)
if (m_deserializer->Complete()) {
// decompose a transport agnostic CNetMessage from the deserializer
- uint32_t out_err_raw_size{0};
- Optional<CNetMessage> result{m_deserializer->GetMessage(time, out_err_raw_size)};
- if (!result) {
+ bool reject_message{false};
+ CNetMessage msg = m_deserializer->GetMessage(time, reject_message);
+ if (reject_message) {
// Message deserialization failed. Drop the message but don't disconnect the peer.
// store the size of the corrupt message
- mapRecvBytesPerMsgCmd.find(NET_MESSAGE_COMMAND_OTHER)->second += out_err_raw_size;
+ mapRecvBytesPerMsgCmd.at(NET_MESSAGE_COMMAND_OTHER) += msg.m_raw_message_size;
continue;
}
- //store received bytes per message command
- //to prevent a memory DOS, only allow valid commands
- mapMsgCmdSize::iterator i = mapRecvBytesPerMsgCmd.find(result->m_command);
- if (i == mapRecvBytesPerMsgCmd.end())
+ // Store received bytes per message command
+ // to prevent a memory DOS, only allow valid commands
+ auto i = mapRecvBytesPerMsgCmd.find(msg.m_type);
+ if (i == mapRecvBytesPerMsgCmd.end()) {
i = mapRecvBytesPerMsgCmd.find(NET_MESSAGE_COMMAND_OTHER);
+ }
assert(i != mapRecvBytesPerMsgCmd.end());
- i->second += result->m_raw_message_size;
+ i->second += msg.m_raw_message_size;
// push the message to the process queue,
- vRecvMsg.push_back(std::move(*result));
+ vRecvMsg.push_back(std::move(msg));
complete = true;
}
@@ -676,19 +703,19 @@ int V1TransportDeserializer::readHeader(Span<const uint8_t> msg_bytes)
hdrbuf >> hdr;
}
catch (const std::exception&) {
- LogPrint(BCLog::NET, "HEADER ERROR - UNABLE TO DESERIALIZE, peer=%d\n", m_node_id);
+ LogPrint(BCLog::NET, "Header error: Unable to deserialize, peer=%d\n", m_node_id);
return -1;
}
// Check start string, network magic
if (memcmp(hdr.pchMessageStart, m_chain_params.MessageStart(), CMessageHeader::MESSAGE_START_SIZE) != 0) {
- LogPrint(BCLog::NET, "HEADER ERROR - MESSAGESTART (%s, %u bytes), received %s, peer=%d\n", hdr.GetCommand(), hdr.nMessageSize, HexStr(hdr.pchMessageStart), m_node_id);
+ LogPrint(BCLog::NET, "Header error: Wrong MessageStart %s received, peer=%d\n", HexStr(hdr.pchMessageStart), m_node_id);
return -1;
}
// reject messages larger than MAX_SIZE or MAX_PROTOCOL_MESSAGE_LENGTH
if (hdr.nMessageSize > MAX_SIZE || hdr.nMessageSize > MAX_PROTOCOL_MESSAGE_LENGTH) {
- LogPrint(BCLog::NET, "HEADER ERROR - SIZE (%s, %u bytes), peer=%d\n", hdr.GetCommand(), hdr.nMessageSize, m_node_id);
+ LogPrint(BCLog::NET, "Header error: Size too large (%s, %u bytes), peer=%d\n", SanitizeString(hdr.GetCommand()), hdr.nMessageSize, m_node_id);
return -1;
}
@@ -723,16 +750,18 @@ const uint256& V1TransportDeserializer::GetMessageHash() const
return data_hash;
}
-Optional<CNetMessage> V1TransportDeserializer::GetMessage(const std::chrono::microseconds time, uint32_t& out_err_raw_size)
+CNetMessage V1TransportDeserializer::GetMessage(const std::chrono::microseconds time, bool& reject_message)
{
+ // Initialize out parameter
+ reject_message = false;
// decompose a single CNetMessage from the TransportDeserializer
- Optional<CNetMessage> msg(std::move(vRecv));
+ CNetMessage msg(std::move(vRecv));
// store command string, time, and sizes
- msg->m_command = hdr.GetCommand();
- msg->m_time = time;
- msg->m_message_size = hdr.nMessageSize;
- msg->m_raw_message_size = hdr.nMessageSize + CMessageHeader::HEADER_SIZE;
+ msg.m_type = hdr.GetCommand();
+ msg.m_time = time;
+ msg.m_message_size = hdr.nMessageSize;
+ msg.m_raw_message_size = hdr.nMessageSize + CMessageHeader::HEADER_SIZE;
uint256 hash = GetMessageHash();
@@ -741,18 +770,16 @@ Optional<CNetMessage> V1TransportDeserializer::GetMessage(const std::chrono::mic
// Check checksum and header command string
if (memcmp(hash.begin(), hdr.pchChecksum, CMessageHeader::CHECKSUM_SIZE) != 0) {
- LogPrint(BCLog::NET, "CHECKSUM ERROR (%s, %u bytes), expected %s was %s, peer=%d\n",
- SanitizeString(msg->m_command), msg->m_message_size,
- HexStr(Span<uint8_t>(hash.begin(), hash.begin() + CMessageHeader::CHECKSUM_SIZE)),
+ LogPrint(BCLog::NET, "Header error: Wrong checksum (%s, %u bytes), expected %s was %s, peer=%d\n",
+ SanitizeString(msg.m_type), msg.m_message_size,
+ HexStr(Span{hash}.first(CMessageHeader::CHECKSUM_SIZE)),
HexStr(hdr.pchChecksum),
m_node_id);
- out_err_raw_size = msg->m_raw_message_size;
- msg = nullopt;
+ reject_message = true;
} else if (!hdr.IsCommandValid()) {
- LogPrint(BCLog::NET, "HEADER ERROR - COMMAND (%s, %u bytes), peer=%d\n",
- hdr.GetCommand(), msg->m_message_size, m_node_id);
- out_err_raw_size = msg->m_raw_message_size;
- msg = nullopt;
+ LogPrint(BCLog::NET, "Header error: Invalid message type (%s, %u bytes), peer=%d\n",
+ SanitizeString(hdr.GetCommand()), msg.m_message_size, m_node_id);
+ reject_message = true;
}
// Always reset the network deserializer (prepare for the next message)
@@ -783,13 +810,14 @@ size_t CConnman::SocketSendData(CNode& node) const
assert(data.size() > node.nSendOffset);
int nBytes = 0;
{
- LOCK(node.cs_hSocket);
- if (node.hSocket == INVALID_SOCKET)
+ LOCK(node.m_sock_mutex);
+ if (!node.m_sock) {
break;
- nBytes = send(node.hSocket, reinterpret_cast<const char*>(data.data()) + node.nSendOffset, data.size() - node.nSendOffset, MSG_NOSIGNAL | MSG_DONTWAIT);
+ }
+ nBytes = node.m_sock->Send(reinterpret_cast<const char*>(data.data()) + node.nSendOffset, data.size() - node.nSendOffset, MSG_NOSIGNAL | MSG_DONTWAIT);
}
if (nBytes > 0) {
- node.nLastSend = GetSystemTimeInSeconds();
+ node.m_last_send = GetTime<std::chrono::seconds>();
node.nSendBytes += nBytes;
node.nSendOffset += nBytes;
nSentSize += nBytes;
@@ -831,13 +859,7 @@ static bool ReverseCompareNodeMinPingTime(const NodeEvictionCandidate &a, const
static bool ReverseCompareNodeTimeConnected(const NodeEvictionCandidate &a, const NodeEvictionCandidate &b)
{
- return a.nTimeConnected > b.nTimeConnected;
-}
-
-static bool CompareLocalHostTimeConnected(const NodeEvictionCandidate &a, const NodeEvictionCandidate &b)
-{
- if (a.m_is_local != b.m_is_local) return b.m_is_local;
- return a.nTimeConnected > b.nTimeConnected;
+ return a.m_connected > b.m_connected;
}
static bool CompareNetGroupKeyed(const NodeEvictionCandidate &a, const NodeEvictionCandidate &b) {
@@ -847,39 +869,134 @@ static bool CompareNetGroupKeyed(const NodeEvictionCandidate &a, const NodeEvict
static bool CompareNodeBlockTime(const NodeEvictionCandidate &a, const NodeEvictionCandidate &b)
{
// There is a fall-through here because it is common for a node to have many peers which have not yet relayed a block.
- if (a.nLastBlockTime != b.nLastBlockTime) return a.nLastBlockTime < b.nLastBlockTime;
+ if (a.m_last_block_time != b.m_last_block_time) return a.m_last_block_time < b.m_last_block_time;
if (a.fRelevantServices != b.fRelevantServices) return b.fRelevantServices;
- return a.nTimeConnected > b.nTimeConnected;
+ return a.m_connected > b.m_connected;
}
static bool CompareNodeTXTime(const NodeEvictionCandidate &a, const NodeEvictionCandidate &b)
{
// There is a fall-through here because it is common for a node to have more than a few peers that have not yet relayed txn.
- if (a.nLastTXTime != b.nLastTXTime) return a.nLastTXTime < b.nLastTXTime;
+ if (a.m_last_tx_time != b.m_last_tx_time) return a.m_last_tx_time < b.m_last_tx_time;
if (a.fRelayTxes != b.fRelayTxes) return b.fRelayTxes;
if (a.fBloomFilter != b.fBloomFilter) return a.fBloomFilter;
- return a.nTimeConnected > b.nTimeConnected;
+ return a.m_connected > b.m_connected;
}
// Pick out the potential block-relay only peers, and sort them by last block time.
static bool CompareNodeBlockRelayOnlyTime(const NodeEvictionCandidate &a, const NodeEvictionCandidate &b)
{
if (a.fRelayTxes != b.fRelayTxes) return a.fRelayTxes;
- if (a.nLastBlockTime != b.nLastBlockTime) return a.nLastBlockTime < b.nLastBlockTime;
+ if (a.m_last_block_time != b.m_last_block_time) return a.m_last_block_time < b.m_last_block_time;
if (a.fRelevantServices != b.fRelevantServices) return b.fRelevantServices;
- return a.nTimeConnected > b.nTimeConnected;
+ return a.m_connected > b.m_connected;
}
-//! Sort an array by the specified comparator, then erase the last K elements.
-template<typename T, typename Comparator>
-static void EraseLastKElements(std::vector<T> &elements, Comparator comparator, size_t k)
+/**
+ * Sort eviction candidates by network/localhost and connection uptime.
+ * Candidates near the beginning are more likely to be evicted, and those
+ * near the end are more likely to be protected, e.g. less likely to be evicted.
+ * - First, nodes that are not `is_local` and that do not belong to `network`,
+ * sorted by increasing uptime (from most recently connected to connected longer).
+ * - Then, nodes that are `is_local` or belong to `network`, sorted by increasing uptime.
+ */
+struct CompareNodeNetworkTime {
+ const bool m_is_local;
+ const Network m_network;
+ CompareNodeNetworkTime(bool is_local, Network network) : m_is_local(is_local), m_network(network) {}
+ bool operator()(const NodeEvictionCandidate& a, const NodeEvictionCandidate& b) const
+ {
+ if (m_is_local && a.m_is_local != b.m_is_local) return b.m_is_local;
+ if ((a.m_network == m_network) != (b.m_network == m_network)) return b.m_network == m_network;
+ return a.m_connected > b.m_connected;
+ };
+};
+
+//! Sort an array by the specified comparator, then erase the last K elements where predicate is true.
+template <typename T, typename Comparator>
+static void EraseLastKElements(
+ std::vector<T>& elements, Comparator comparator, size_t k,
+ std::function<bool(const NodeEvictionCandidate&)> predicate = [](const NodeEvictionCandidate& n) { return true; })
{
std::sort(elements.begin(), elements.end(), comparator);
size_t eraseSize = std::min(k, elements.size());
- elements.erase(elements.end() - eraseSize, elements.end());
+ elements.erase(std::remove_if(elements.end() - eraseSize, elements.end(), predicate), elements.end());
}
-[[nodiscard]] Optional<NodeId> SelectNodeToEvict(std::vector<NodeEvictionCandidate>&& vEvictionCandidates)
+void ProtectEvictionCandidatesByRatio(std::vector<NodeEvictionCandidate>& eviction_candidates)
+{
+ // Protect the half of the remaining nodes which have been connected the longest.
+ // This replicates the non-eviction implicit behavior, and precludes attacks that start later.
+ // To favorise the diversity of our peer connections, reserve up to half of these protected
+ // spots for Tor/onion, localhost and I2P peers, even if they're not longest uptime overall.
+ // This helps protect these higher-latency peers that tend to be otherwise
+ // disadvantaged under our eviction criteria.
+ const size_t initial_size = eviction_candidates.size();
+ const size_t total_protect_size{initial_size / 2};
+
+ // Disadvantaged networks to protect: I2P, localhost, Tor/onion. In case of equal counts, earlier
+ // array members have first opportunity to recover unused slots from the previous iteration.
+ struct Net { bool is_local; Network id; size_t count; };
+ std::array<Net, 3> networks{
+ {{false, NET_I2P, 0}, {/* localhost */ true, NET_MAX, 0}, {false, NET_ONION, 0}}};
+
+ // Count and store the number of eviction candidates per network.
+ for (Net& n : networks) {
+ n.count = std::count_if(eviction_candidates.cbegin(), eviction_candidates.cend(),
+ [&n](const NodeEvictionCandidate& c) {
+ return n.is_local ? c.m_is_local : c.m_network == n.id;
+ });
+ }
+ // Sort `networks` by ascending candidate count, to give networks having fewer candidates
+ // the first opportunity to recover unused protected slots from the previous iteration.
+ std::stable_sort(networks.begin(), networks.end(), [](Net a, Net b) { return a.count < b.count; });
+
+ // Protect up to 25% of the eviction candidates by disadvantaged network.
+ const size_t max_protect_by_network{total_protect_size / 2};
+ size_t num_protected{0};
+
+ while (num_protected < max_protect_by_network) {
+ // Count the number of disadvantaged networks from which we have peers to protect.
+ auto num_networks = std::count_if(networks.begin(), networks.end(), [](const Net& n) { return n.count; });
+ if (num_networks == 0) {
+ break;
+ }
+ const size_t disadvantaged_to_protect{max_protect_by_network - num_protected};
+ const size_t protect_per_network{std::max(disadvantaged_to_protect / num_networks, static_cast<size_t>(1))};
+ // Early exit flag if there are no remaining candidates by disadvantaged network.
+ bool protected_at_least_one{false};
+
+ for (Net& n : networks) {
+ if (n.count == 0) continue;
+ const size_t before = eviction_candidates.size();
+ EraseLastKElements(eviction_candidates, CompareNodeNetworkTime(n.is_local, n.id),
+ protect_per_network, [&n](const NodeEvictionCandidate& c) {
+ return n.is_local ? c.m_is_local : c.m_network == n.id;
+ });
+ const size_t after = eviction_candidates.size();
+ if (before > after) {
+ protected_at_least_one = true;
+ const size_t delta{before - after};
+ num_protected += delta;
+ if (num_protected >= max_protect_by_network) {
+ break;
+ }
+ n.count -= delta;
+ }
+ }
+ if (!protected_at_least_one) {
+ break;
+ }
+ }
+
+ // Calculate how many we removed, and update our total number of peers that
+ // we want to protect based on uptime accordingly.
+ assert(num_protected == initial_size - eviction_candidates.size());
+ const size_t remaining_to_protect{total_protect_size - num_protected};
+ EraseLastKElements(eviction_candidates, ReverseCompareNodeTimeConnected, remaining_to_protect);
+}
+
+[[nodiscard]] std::optional<NodeId> SelectNodeToEvict(std::vector<NodeEvictionCandidate>&& vEvictionCandidates)
{
// Protect connections with certain characteristics
@@ -893,32 +1010,18 @@ static void EraseLastKElements(std::vector<T> &elements, Comparator comparator,
// An attacker cannot manipulate this metric without performing useful work.
EraseLastKElements(vEvictionCandidates, CompareNodeTXTime, 4);
// Protect up to 8 non-tx-relay peers that have sent us novel blocks.
- std::sort(vEvictionCandidates.begin(), vEvictionCandidates.end(), CompareNodeBlockRelayOnlyTime);
- size_t erase_size = std::min(size_t(8), vEvictionCandidates.size());
- vEvictionCandidates.erase(std::remove_if(vEvictionCandidates.end() - erase_size, vEvictionCandidates.end(), [](NodeEvictionCandidate const &n) { return !n.fRelayTxes && n.fRelevantServices; }), vEvictionCandidates.end());
+ EraseLastKElements(vEvictionCandidates, CompareNodeBlockRelayOnlyTime, 8,
+ [](const NodeEvictionCandidate& n) { return !n.fRelayTxes && n.fRelevantServices; });
// Protect 4 nodes that most recently sent us novel blocks.
// An attacker cannot manipulate this metric without performing useful work.
EraseLastKElements(vEvictionCandidates, CompareNodeBlockTime, 4);
- // Protect the half of the remaining nodes which have been connected the longest.
- // This replicates the non-eviction implicit behavior, and precludes attacks that start later.
- // Reserve half of these protected spots for localhost peers, even if
- // they're not longest-uptime overall. This helps protect tor peers, which
- // tend to be otherwise disadvantaged under our eviction criteria.
- size_t initial_size = vEvictionCandidates.size();
- size_t total_protect_size = initial_size / 2;
-
- // Pick out up to 1/4 peers that are localhost, sorted by longest uptime.
- std::sort(vEvictionCandidates.begin(), vEvictionCandidates.end(), CompareLocalHostTimeConnected);
- size_t local_erase_size = total_protect_size / 2;
- vEvictionCandidates.erase(std::remove_if(vEvictionCandidates.end() - local_erase_size, vEvictionCandidates.end(), [](NodeEvictionCandidate const &n) { return n.m_is_local; }), vEvictionCandidates.end());
- // Calculate how many we removed, and update our total number of peers that
- // we want to protect based on uptime accordingly.
- total_protect_size -= initial_size - vEvictionCandidates.size();
- EraseLastKElements(vEvictionCandidates, ReverseCompareNodeTimeConnected, total_protect_size);
+ // Protect some of the remaining eviction candidates by ratios of desirable
+ // or disadvantaged characteristics.
+ ProtectEvictionCandidatesByRatio(vEvictionCandidates);
- if (vEvictionCandidates.empty()) return nullopt;
+ if (vEvictionCandidates.empty()) return std::nullopt;
// If any remaining peers are preferred for eviction consider only them.
// This happens after the other preferences since if a peer is really the best by other criteria (esp relaying blocks)
@@ -932,12 +1035,12 @@ static void EraseLastKElements(std::vector<T> &elements, Comparator comparator,
// (vEvictionCandidates is already sorted by reverse connect time)
uint64_t naMostConnections;
unsigned int nMostConnections = 0;
- int64_t nMostConnectionsTime = 0;
+ std::chrono::seconds nMostConnectionsTime{0};
std::map<uint64_t, std::vector<NodeEvictionCandidate> > mapNetGroupNodes;
for (const NodeEvictionCandidate &node : vEvictionCandidates) {
std::vector<NodeEvictionCandidate> &group = mapNetGroupNodes[node.nKeyedNetGroup];
group.push_back(node);
- int64_t grouptime = group[0].nTimeConnected;
+ const auto grouptime{group[0].m_connected};
if (group.size() > nMostConnections || (group.size() == nMostConnections && grouptime > nMostConnectionsTime)) {
nMostConnections = group.size();
@@ -966,9 +1069,9 @@ bool CConnman::AttemptToEvictConnection()
std::vector<NodeEvictionCandidate> vEvictionCandidates;
{
- LOCK(cs_vNodes);
- for (const CNode* node : vNodes) {
- if (node->HasPermission(PF_NOBAN))
+ LOCK(m_nodes_mutex);
+ for (const CNode* node : m_nodes) {
+ if (node->HasPermission(NetPermissionFlags::NoBan))
continue;
if (!node->IsInboundConn())
continue;
@@ -981,20 +1084,21 @@ bool CConnman::AttemptToEvictConnection()
peer_relay_txes = node->m_tx_relay->fRelayTxes;
peer_filter_not_null = node->m_tx_relay->pfilter != nullptr;
}
- NodeEvictionCandidate candidate = {node->GetId(), node->nTimeConnected, node->m_min_ping_time,
- node->nLastBlockTime, node->nLastTXTime,
+ NodeEvictionCandidate candidate = {node->GetId(), node->m_connected, node->m_min_ping_time,
+ node->m_last_block_time, node->m_last_tx_time,
HasAllDesirableServiceFlags(node->nServices),
peer_relay_txes, peer_filter_not_null, node->nKeyedNetGroup,
- node->m_prefer_evict, node->addr.IsLocal()};
+ node->m_prefer_evict, node->addr.IsLocal(),
+ node->ConnectedThroughNetwork()};
vEvictionCandidates.push_back(candidate);
}
}
- const Optional<NodeId> node_id_to_evict = SelectNodeToEvict(std::move(vEvictionCandidates));
+ const std::optional<NodeId> node_id_to_evict = SelectNodeToEvict(std::move(vEvictionCandidates));
if (!node_id_to_evict) {
return false;
}
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (CNode* pnode : m_nodes) {
if (pnode->GetId() == *node_id_to_evict) {
LogPrint(BCLog::NET, "selected %s connection for eviction peer=%d; disconnecting\n", pnode->ConnectionTypeAsString(), pnode->GetId());
pnode->fDisconnect = true;
@@ -1007,10 +1111,10 @@ bool CConnman::AttemptToEvictConnection()
void CConnman::AcceptConnection(const ListenSocket& hListenSocket) {
struct sockaddr_storage sockaddr;
socklen_t len = sizeof(sockaddr);
- SOCKET hSocket = accept(hListenSocket.socket, (struct sockaddr*)&sockaddr, &len);
+ auto sock = hListenSocket.sock->Accept((struct sockaddr*)&sockaddr, &len);
CAddress addr;
- if (hSocket == INVALID_SOCKET) {
+ if (!sock) {
const int nErr = WSAGetLastError();
if (nErr != WSAEWOULDBLOCK) {
LogPrintf("socket error accept failed: %s\n", NetworkErrorString(nErr));
@@ -1020,17 +1124,19 @@ void CConnman::AcceptConnection(const ListenSocket& hListenSocket) {
if (!addr.SetSockAddr((const struct sockaddr*)&sockaddr)) {
LogPrintf("Warning: Unknown socket family\n");
+ } else {
+ addr = CAddress{MaybeFlipIPv6toCJDNS(addr), NODE_NONE};
}
- const CAddress addr_bind = GetBindAddress(hSocket);
+ const CAddress addr_bind{MaybeFlipIPv6toCJDNS(GetBindAddress(sock->Get())), NODE_NONE};
- NetPermissionFlags permissionFlags = NetPermissionFlags::PF_NONE;
+ NetPermissionFlags permissionFlags = NetPermissionFlags::None;
hListenSocket.AddSocketPermissionFlags(permissionFlags);
- CreateNodeFromAcceptedSocket(hSocket, permissionFlags, addr_bind, addr);
+ CreateNodeFromAcceptedSocket(std::move(sock), permissionFlags, addr_bind, addr);
}
-void CConnman::CreateNodeFromAcceptedSocket(SOCKET hSocket,
+void CConnman::CreateNodeFromAcceptedSocket(std::unique_ptr<Sock>&& sock,
NetPermissionFlags permissionFlags,
const CAddress& addr_bind,
const CAddress& addr)
@@ -1039,53 +1145,49 @@ void CConnman::CreateNodeFromAcceptedSocket(SOCKET hSocket,
int nMaxInbound = nMaxConnections - m_max_outbound;
AddWhitelistPermissionFlags(permissionFlags, addr);
- if (NetPermissions::HasFlag(permissionFlags, NetPermissionFlags::PF_ISIMPLICIT)) {
- NetPermissions::ClearFlag(permissionFlags, PF_ISIMPLICIT);
- if (gArgs.GetBoolArg("-whitelistforcerelay", DEFAULT_WHITELISTFORCERELAY)) NetPermissions::AddFlag(permissionFlags, PF_FORCERELAY);
- if (gArgs.GetBoolArg("-whitelistrelay", DEFAULT_WHITELISTRELAY)) NetPermissions::AddFlag(permissionFlags, PF_RELAY);
- NetPermissions::AddFlag(permissionFlags, PF_MEMPOOL);
- NetPermissions::AddFlag(permissionFlags, PF_NOBAN);
+ if (NetPermissions::HasFlag(permissionFlags, NetPermissionFlags::Implicit)) {
+ NetPermissions::ClearFlag(permissionFlags, NetPermissionFlags::Implicit);
+ if (gArgs.GetBoolArg("-whitelistforcerelay", DEFAULT_WHITELISTFORCERELAY)) NetPermissions::AddFlag(permissionFlags, NetPermissionFlags::ForceRelay);
+ if (gArgs.GetBoolArg("-whitelistrelay", DEFAULT_WHITELISTRELAY)) NetPermissions::AddFlag(permissionFlags, NetPermissionFlags::Relay);
+ NetPermissions::AddFlag(permissionFlags, NetPermissionFlags::Mempool);
+ NetPermissions::AddFlag(permissionFlags, NetPermissionFlags::NoBan);
}
{
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
if (pnode->IsInboundConn()) nInbound++;
}
}
if (!fNetworkActive) {
LogPrint(BCLog::NET, "connection from %s dropped: not accepting new connections\n", addr.ToString());
- CloseSocket(hSocket);
return;
}
- if (!IsSelectableSocket(hSocket))
+ if (!IsSelectableSocket(sock->Get()))
{
LogPrintf("connection from %s dropped: non-selectable socket\n", addr.ToString());
- CloseSocket(hSocket);
return;
}
// According to the internet TCP_NODELAY is not carried into accepted sockets
// on all platforms. Set it again here just to be sure.
- SetSocketNoDelay(hSocket);
+ SetSocketNoDelay(sock->Get());
// Don't accept connections from banned peers.
bool banned = m_banman && m_banman->IsBanned(addr);
- if (!NetPermissions::HasFlag(permissionFlags, NetPermissionFlags::PF_NOBAN) && banned)
+ if (!NetPermissions::HasFlag(permissionFlags, NetPermissionFlags::NoBan) && banned)
{
LogPrint(BCLog::NET, "connection from %s dropped (banned)\n", addr.ToString());
- CloseSocket(hSocket);
return;
}
// Only accept connections from discouraged peers if our inbound slots aren't (almost) full.
bool discouraged = m_banman && m_banman->IsDiscouraged(addr);
- if (!NetPermissions::HasFlag(permissionFlags, NetPermissionFlags::PF_NOBAN) && nInbound + 1 >= nMaxInbound && discouraged)
+ if (!NetPermissions::HasFlag(permissionFlags, NetPermissionFlags::NoBan) && nInbound + 1 >= nMaxInbound && discouraged)
{
LogPrint(BCLog::NET, "connection from %s dropped (discouraged)\n", addr.ToString());
- CloseSocket(hSocket);
return;
}
@@ -1094,7 +1196,6 @@ void CConnman::CreateNodeFromAcceptedSocket(SOCKET hSocket,
if (!AttemptToEvictConnection()) {
// No connection to evict, disconnect the new connection
LogPrint(BCLog::NET, "failed to find an eviction candidate - connection dropped (full)\n");
- CloseSocket(hSocket);
return;
}
}
@@ -1103,12 +1204,21 @@ void CConnman::CreateNodeFromAcceptedSocket(SOCKET hSocket,
uint64_t nonce = GetDeterministicRandomizer(RANDOMIZER_ID_LOCALHOSTNONCE).Write(id).Finalize();
ServiceFlags nodeServices = nLocalServices;
- if (NetPermissions::HasFlag(permissionFlags, PF_BLOOMFILTER)) {
+ if (NetPermissions::HasFlag(permissionFlags, NetPermissionFlags::BloomFilter)) {
nodeServices = static_cast<ServiceFlags>(nodeServices | NODE_BLOOM);
}
const bool inbound_onion = std::find(m_onion_binds.begin(), m_onion_binds.end(), addr_bind) != m_onion_binds.end();
- CNode* pnode = new CNode(id, nodeServices, hSocket, addr, CalculateKeyedNetGroup(addr), nonce, addr_bind, "", ConnectionType::INBOUND, inbound_onion);
+ CNode* pnode = new CNode(id,
+ nodeServices,
+ std::move(sock),
+ addr,
+ CalculateKeyedNetGroup(addr),
+ nonce,
+ addr_bind,
+ /*addrNameIn=*/"",
+ ConnectionType::INBOUND,
+ inbound_onion);
pnode->AddRef();
pnode->m_permissionFlags = permissionFlags;
pnode->m_prefer_evict = discouraged;
@@ -1117,8 +1227,8 @@ void CConnman::CreateNodeFromAcceptedSocket(SOCKET hSocket,
LogPrint(BCLog::NET, "connection from %s accepted\n", addr.ToString());
{
- LOCK(cs_vNodes);
- vNodes.push_back(pnode);
+ LOCK(m_nodes_mutex);
+ m_nodes.push_back(pnode);
}
// We received a new connection, harvest entropy from the time (and our peer count)
@@ -1127,16 +1237,31 @@ void CConnman::CreateNodeFromAcceptedSocket(SOCKET hSocket,
bool CConnman::AddConnection(const std::string& address, ConnectionType conn_type)
{
- if (conn_type != ConnectionType::OUTBOUND_FULL_RELAY && conn_type != ConnectionType::BLOCK_RELAY) return false;
-
- const int max_connections = conn_type == ConnectionType::OUTBOUND_FULL_RELAY ? m_max_outbound_full_relay : m_max_outbound_block_relay;
+ std::optional<int> max_connections;
+ switch (conn_type) {
+ case ConnectionType::INBOUND:
+ case ConnectionType::MANUAL:
+ return false;
+ case ConnectionType::OUTBOUND_FULL_RELAY:
+ max_connections = m_max_outbound_full_relay;
+ break;
+ case ConnectionType::BLOCK_RELAY:
+ max_connections = m_max_outbound_block_relay;
+ break;
+ // no limit for ADDR_FETCH because -seednode has no limit either
+ case ConnectionType::ADDR_FETCH:
+ break;
+ // no limit for FEELER connections since they're short-lived
+ case ConnectionType::FEELER:
+ break;
+ } // no default case, so the compiler can warn about missing cases
// Count existing connections
- int existing_connections = WITH_LOCK(cs_vNodes,
- return std::count_if(vNodes.begin(), vNodes.end(), [conn_type](CNode* node) { return node->m_conn_type == conn_type; }););
+ int existing_connections = WITH_LOCK(m_nodes_mutex,
+ return std::count_if(m_nodes.begin(), m_nodes.end(), [conn_type](CNode* node) { return node->m_conn_type == conn_type; }););
// Max connections of specified type already exist
- if (existing_connections >= max_connections) return false;
+ if (max_connections != std::nullopt && existing_connections >= max_connections) return false;
// Max total outbound connections already exist
CSemaphoreGrant grant(*semOutbound, true);
@@ -1149,11 +1274,11 @@ bool CConnman::AddConnection(const std::string& address, ConnectionType conn_typ
void CConnman::DisconnectNodes()
{
{
- LOCK(cs_vNodes);
+ LOCK(m_nodes_mutex);
if (!fNetworkActive) {
// Disconnect any connected nodes
- for (CNode* pnode : vNodes) {
+ for (CNode* pnode : m_nodes) {
if (!pnode->fDisconnect) {
LogPrint(BCLog::NET, "Network not active, dropping peer=%d\n", pnode->GetId());
pnode->fDisconnect = true;
@@ -1162,13 +1287,13 @@ void CConnman::DisconnectNodes()
}
// Disconnect unused nodes
- std::vector<CNode*> vNodesCopy = vNodes;
- for (CNode* pnode : vNodesCopy)
+ std::vector<CNode*> nodes_copy = m_nodes;
+ for (CNode* pnode : nodes_copy)
{
if (pnode->fDisconnect)
{
- // remove from vNodes
- vNodes.erase(remove(vNodes.begin(), vNodes.end(), pnode), vNodes.end());
+ // remove from m_nodes
+ m_nodes.erase(remove(m_nodes.begin(), m_nodes.end(), pnode), m_nodes.end());
// release outbound grant (if any)
pnode->grantOutbound.Release();
@@ -1178,28 +1303,19 @@ void CConnman::DisconnectNodes()
// hold in disconnected pool until all refs are released
pnode->Release();
- vNodesDisconnected.push_back(pnode);
+ m_nodes_disconnected.push_back(pnode);
}
}
}
{
// Delete disconnected nodes
- std::list<CNode*> vNodesDisconnectedCopy = vNodesDisconnected;
- for (CNode* pnode : vNodesDisconnectedCopy)
+ std::list<CNode*> nodes_disconnected_copy = m_nodes_disconnected;
+ for (CNode* pnode : nodes_disconnected_copy)
{
- // wait until threads are done using it
+ // Destroy the object only after other threads have stopped using it.
if (pnode->GetRefCount() <= 0) {
- bool fDelete = false;
- {
- TRY_LOCK(pnode->cs_vSend, lockSend);
- if (lockSend) {
- fDelete = true;
- }
- }
- if (fDelete) {
- vNodesDisconnected.remove(pnode);
- DeleteNode(pnode);
- }
+ m_nodes_disconnected.remove(pnode);
+ DeleteNode(pnode);
}
}
}
@@ -1207,41 +1323,46 @@ void CConnman::DisconnectNodes()
void CConnman::NotifyNumConnectionsChanged()
{
- size_t vNodesSize;
+ size_t nodes_size;
{
- LOCK(cs_vNodes);
- vNodesSize = vNodes.size();
+ LOCK(m_nodes_mutex);
+ nodes_size = m_nodes.size();
}
- if(vNodesSize != nPrevNodeCount) {
- nPrevNodeCount = vNodesSize;
- if(clientInterface)
- clientInterface->NotifyNumConnectionsChanged(vNodesSize);
+ if(nodes_size != nPrevNodeCount) {
+ nPrevNodeCount = nodes_size;
+ if (m_client_interface) {
+ m_client_interface->NotifyNumConnectionsChanged(nodes_size);
+ }
}
}
-bool CConnman::RunInactivityChecks(const CNode& node) const
+bool CConnman::ShouldRunInactivityChecks(const CNode& node, std::chrono::seconds now) const
{
- return GetSystemTimeInSeconds() > node.nTimeConnected + m_peer_connect_timeout;
+ return node.m_connected + m_peer_connect_timeout < now;
}
bool CConnman::InactivityCheck(const CNode& node) const
{
- // Use non-mockable system time (otherwise these timers will pop when we
- // use setmocktime in the tests).
- int64_t now = GetSystemTimeInSeconds();
+ // Tests that see disconnects after using mocktime can start nodes with a
+ // large timeout. For example, -peertimeout=999999999.
+ const auto now{GetTime<std::chrono::seconds>()};
+ const auto last_send{node.m_last_send.load()};
+ const auto last_recv{node.m_last_recv.load()};
- if (node.nLastRecv == 0 || node.nLastSend == 0) {
- LogPrint(BCLog::NET, "socket no message in first %i seconds, %d %d peer=%d\n", m_peer_connect_timeout, node.nLastRecv != 0, node.nLastSend != 0, node.GetId());
+ if (!ShouldRunInactivityChecks(node, now)) return false;
+
+ if (last_recv.count() == 0 || last_send.count() == 0) {
+ LogPrint(BCLog::NET, "socket no message in first %i seconds, %d %d peer=%d\n", count_seconds(m_peer_connect_timeout), last_recv.count() != 0, last_send.count() != 0, node.GetId());
return true;
}
- if (now > node.nLastSend + TIMEOUT_INTERVAL) {
- LogPrint(BCLog::NET, "socket sending timeout: %is peer=%d\n", now - node.nLastSend, node.GetId());
+ if (now > last_send + TIMEOUT_INTERVAL) {
+ LogPrint(BCLog::NET, "socket sending timeout: %is peer=%d\n", count_seconds(now - last_send), node.GetId());
return true;
}
- if (now > node.nLastRecv + TIMEOUT_INTERVAL) {
- LogPrint(BCLog::NET, "socket receive timeout: %is peer=%d\n", now - node.nLastRecv, node.GetId());
+ if (now > last_recv + TIMEOUT_INTERVAL) {
+ LogPrint(BCLog::NET, "socket receive timeout: %is peer=%d\n", count_seconds(now - last_recv), node.GetId());
return true;
}
@@ -1253,46 +1374,46 @@ bool CConnman::InactivityCheck(const CNode& node) const
return false;
}
-bool CConnman::GenerateSelectSet(std::set<SOCKET> &recv_set, std::set<SOCKET> &send_set, std::set<SOCKET> &error_set)
+bool CConnman::GenerateSelectSet(const std::vector<CNode*>& nodes,
+ std::set<SOCKET>& recv_set,
+ std::set<SOCKET>& send_set,
+ std::set<SOCKET>& error_set)
{
for (const ListenSocket& hListenSocket : vhListenSocket) {
- recv_set.insert(hListenSocket.socket);
- }
-
- {
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes)
+ recv_set.insert(hListenSocket.sock->Get());
+ }
+
+ for (CNode* pnode : nodes) {
+ // Implement the following logic:
+ // * If there is data to send, select() for sending data. As this only
+ // happens when optimistic write failed, we choose to first drain the
+ // write buffer in this case before receiving more. This avoids
+ // needlessly queueing received data, if the remote peer is not themselves
+ // receiving data. This means properly utilizing TCP flow control signalling.
+ // * Otherwise, if there is space left in the receive buffer, select() for
+ // receiving data.
+ // * Hand off all complete messages to the processor, to be handled without
+ // blocking here.
+
+ bool select_recv = !pnode->fPauseRecv;
+ bool select_send;
{
- // Implement the following logic:
- // * If there is data to send, select() for sending data. As this only
- // happens when optimistic write failed, we choose to first drain the
- // write buffer in this case before receiving more. This avoids
- // needlessly queueing received data, if the remote peer is not themselves
- // receiving data. This means properly utilizing TCP flow control signalling.
- // * Otherwise, if there is space left in the receive buffer, select() for
- // receiving data.
- // * Hand off all complete messages to the processor, to be handled without
- // blocking here.
-
- bool select_recv = !pnode->fPauseRecv;
- bool select_send;
- {
- LOCK(pnode->cs_vSend);
- select_send = !pnode->vSendMsg.empty();
- }
+ LOCK(pnode->cs_vSend);
+ select_send = !pnode->vSendMsg.empty();
+ }
- LOCK(pnode->cs_hSocket);
- if (pnode->hSocket == INVALID_SOCKET)
- continue;
+ LOCK(pnode->m_sock_mutex);
+ if (!pnode->m_sock) {
+ continue;
+ }
- error_set.insert(pnode->hSocket);
- if (select_send) {
- send_set.insert(pnode->hSocket);
- continue;
- }
- if (select_recv) {
- recv_set.insert(pnode->hSocket);
- }
+ error_set.insert(pnode->m_sock->Get());
+ if (select_send) {
+ send_set.insert(pnode->m_sock->Get());
+ continue;
+ }
+ if (select_recv) {
+ recv_set.insert(pnode->m_sock->Get());
}
}
@@ -1300,10 +1421,13 @@ bool CConnman::GenerateSelectSet(std::set<SOCKET> &recv_set, std::set<SOCKET> &s
}
#ifdef USE_POLL
-void CConnman::SocketEvents(std::set<SOCKET> &recv_set, std::set<SOCKET> &send_set, std::set<SOCKET> &error_set)
+void CConnman::SocketEvents(const std::vector<CNode*>& nodes,
+ std::set<SOCKET>& recv_set,
+ std::set<SOCKET>& send_set,
+ std::set<SOCKET>& error_set)
{
std::set<SOCKET> recv_select_set, send_select_set, error_select_set;
- if (!GenerateSelectSet(recv_select_set, send_select_set, error_select_set)) {
+ if (!GenerateSelectSet(nodes, recv_select_set, send_select_set, error_select_set)) {
interruptNet.sleep_for(std::chrono::milliseconds(SELECT_TIMEOUT_MILLISECONDS));
return;
}
@@ -1342,10 +1466,13 @@ void CConnman::SocketEvents(std::set<SOCKET> &recv_set, std::set<SOCKET> &send_s
}
}
#else
-void CConnman::SocketEvents(std::set<SOCKET> &recv_set, std::set<SOCKET> &send_set, std::set<SOCKET> &error_set)
+void CConnman::SocketEvents(const std::vector<CNode*>& nodes,
+ std::set<SOCKET>& recv_set,
+ std::set<SOCKET>& send_set,
+ std::set<SOCKET>& error_set)
{
std::set<SOCKET> recv_select_set, send_select_set, error_select_set;
- if (!GenerateSelectSet(recv_select_set, send_select_set, error_select_set)) {
+ if (!GenerateSelectSet(nodes, recv_select_set, send_select_set, error_select_set)) {
interruptNet.sleep_for(std::chrono::milliseconds(SELECT_TIMEOUT_MILLISECONDS));
return;
}
@@ -1419,34 +1546,33 @@ void CConnman::SocketEvents(std::set<SOCKET> &recv_set, std::set<SOCKET> &send_s
void CConnman::SocketHandler()
{
- std::set<SOCKET> recv_set, send_set, error_set;
- SocketEvents(recv_set, send_set, error_set);
+ std::set<SOCKET> recv_set;
+ std::set<SOCKET> send_set;
+ std::set<SOCKET> error_set;
- if (interruptNet) return;
-
- //
- // Accept new connections
- //
- for (const ListenSocket& hListenSocket : vhListenSocket)
{
- if (hListenSocket.socket != INVALID_SOCKET && recv_set.count(hListenSocket.socket) > 0)
- {
- AcceptConnection(hListenSocket);
- }
- }
+ const NodesSnapshot snap{*this, /*shuffle=*/false};
- //
- // Service each socket
- //
- std::vector<CNode*> vNodesCopy;
- {
- LOCK(cs_vNodes);
- vNodesCopy = vNodes;
- for (CNode* pnode : vNodesCopy)
- pnode->AddRef();
+ // Check for the readiness of the already connected sockets and the
+ // listening sockets in one call ("readiness" as in poll(2) or
+ // select(2)). If none are ready, wait for a short while and return
+ // empty sets.
+ SocketEvents(snap.Nodes(), recv_set, send_set, error_set);
+
+ // Service (send/receive) each of the already connected nodes.
+ SocketHandlerConnected(snap.Nodes(), recv_set, send_set, error_set);
}
- for (CNode* pnode : vNodesCopy)
- {
+
+ // Accept new connections from listening sockets.
+ SocketHandlerListening(recv_set);
+}
+
+void CConnman::SocketHandlerConnected(const std::vector<CNode*>& nodes,
+ const std::set<SOCKET>& recv_set,
+ const std::set<SOCKET>& send_set,
+ const std::set<SOCKET>& error_set)
+{
+ for (CNode* pnode : nodes) {
if (interruptNet)
return;
@@ -1457,12 +1583,13 @@ void CConnman::SocketHandler()
bool sendSet = false;
bool errorSet = false;
{
- LOCK(pnode->cs_hSocket);
- if (pnode->hSocket == INVALID_SOCKET)
+ LOCK(pnode->m_sock_mutex);
+ if (!pnode->m_sock) {
continue;
- recvSet = recv_set.count(pnode->hSocket) > 0;
- sendSet = send_set.count(pnode->hSocket) > 0;
- errorSet = error_set.count(pnode->hSocket) > 0;
+ }
+ recvSet = recv_set.count(pnode->m_sock->Get()) > 0;
+ sendSet = send_set.count(pnode->m_sock->Get()) > 0;
+ errorSet = error_set.count(pnode->m_sock->Get()) > 0;
}
if (recvSet || errorSet)
{
@@ -1470,16 +1597,18 @@ void CConnman::SocketHandler()
uint8_t pchBuf[0x10000];
int nBytes = 0;
{
- LOCK(pnode->cs_hSocket);
- if (pnode->hSocket == INVALID_SOCKET)
+ LOCK(pnode->m_sock_mutex);
+ if (!pnode->m_sock) {
continue;
- nBytes = recv(pnode->hSocket, (char*)pchBuf, sizeof(pchBuf), MSG_DONTWAIT);
+ }
+ nBytes = pnode->m_sock->Recv(pchBuf, sizeof(pchBuf), MSG_DONTWAIT);
}
if (nBytes > 0)
{
bool notify = false;
- if (!pnode->ReceiveMsgBytes(Span<const uint8_t>(pchBuf, nBytes), notify))
+ if (!pnode->ReceiveMsgBytes({pchBuf, (size_t)nBytes}, notify)) {
pnode->CloseSocketDisconnect();
+ }
RecordBytesRecv(nBytes);
if (notify) {
size_t nSizeAdded = 0;
@@ -1526,17 +1655,25 @@ void CConnman::SocketHandler()
if (bytes_sent) RecordBytesSent(bytes_sent);
}
- if (RunInactivityChecks(*pnode) && InactivityCheck(*pnode)) pnode->fDisconnect = true;
+ if (InactivityCheck(*pnode)) pnode->fDisconnect = true;
}
- {
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodesCopy)
- pnode->Release();
+}
+
+void CConnman::SocketHandlerListening(const std::set<SOCKET>& recv_set)
+{
+ for (const ListenSocket& listen_socket : vhListenSocket) {
+ if (interruptNet) {
+ return;
+ }
+ if (recv_set.count(listen_socket.sock->Get()) > 0) {
+ AcceptConnection(listen_socket);
+ }
}
}
void CConnman::ThreadSocketHandler()
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::NET);
while (!interruptNet)
{
DisconnectNodes();
@@ -1556,6 +1693,7 @@ void CConnman::WakeMessageHandler()
void CConnman::ThreadDNSAddressSeed()
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::INITIALIZATION_DNS_SEED);
FastRandomContext rng;
std::vector<std::string> seeds = Params().DNSSeeds();
Shuffle(seeds.begin(), seeds.end(), rng);
@@ -1603,9 +1741,9 @@ void CConnman::ThreadDNSAddressSeed()
int nRelevant = 0;
{
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
- if (pnode->fSuccessfullyConnected && pnode->IsOutboundOrBlockRelayConn()) ++nRelevant;
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
+ if (pnode->fSuccessfullyConnected && pnode->IsFullOutboundConn()) ++nRelevant;
}
}
if (nRelevant >= 2) {
@@ -1668,8 +1806,7 @@ void CConnman::DumpAddresses()
{
int64_t nStart = GetTimeMillis();
- CAddrDB adb;
- adb.Write(addrman);
+ DumpPeerAddresses(::gArgs, addrman);
LogPrint(BCLog::NET, "Flushed %d addresses to peers.dat %dms\n",
addrman.size(), GetTimeMillis() - nStart);
@@ -1692,7 +1829,7 @@ void CConnman::ProcessAddrFetch()
}
}
-bool CConnman::GetTryNewOutboundPeer()
+bool CConnman::GetTryNewOutboundPeer() const
{
return m_try_another_outbound_peer;
}
@@ -1709,12 +1846,12 @@ void CConnman::SetTryNewOutboundPeer(bool flag)
// Also exclude peers that haven't finished initial connection handshake yet
// (so that we don't decide we're over our desired connection limit, and then
// evict some peer that has finished the handshake)
-int CConnman::GetExtraFullOutboundCount()
+int CConnman::GetExtraFullOutboundCount() const
{
int full_outbound_peers = 0;
{
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
if (pnode->fSuccessfullyConnected && !pnode->fDisconnect && pnode->IsFullOutboundConn()) {
++full_outbound_peers;
}
@@ -1723,12 +1860,12 @@ int CConnman::GetExtraFullOutboundCount()
return std::max(full_outbound_peers - m_max_outbound_full_relay, 0);
}
-int CConnman::GetExtraBlockRelayCount()
+int CConnman::GetExtraBlockRelayCount() const
{
int block_relay_peers = 0;
{
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
if (pnode->fSuccessfullyConnected && !pnode->fDisconnect && pnode->IsBlockOnlyConn()) {
++block_relay_peers;
}
@@ -1739,6 +1876,7 @@ int CConnman::GetExtraBlockRelayCount()
void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::NET_OPEN_CONNECTION);
// Connect to specific addresses
if (!connect.empty())
{
@@ -1764,8 +1902,8 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
auto start = GetTime<std::chrono::microseconds>();
// Minimum time before next feeler connection (in microseconds).
- auto next_feeler = PoissonNextSend(start, FEELER_INTERVAL);
- auto next_extra_block_relay = PoissonNextSend(start, EXTRA_BLOCK_RELAY_ONLY_PEER_INTERVAL);
+ auto next_feeler = GetExponentialRand(start, FEELER_INTERVAL);
+ auto next_extra_block_relay = GetExponentialRand(start, EXTRA_BLOCK_RELAY_ONLY_PEER_INTERVAL);
const bool dnsseed = gArgs.GetBoolArg("-dnsseed", DEFAULT_DNSSEED);
bool add_fixed_seeds = gArgs.GetBoolArg("-fixedseeds", DEFAULT_FIXEDSEEDS);
@@ -1798,8 +1936,8 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
// Checking !dnsseed is cheaper before locking 2 mutexes.
if (!add_fixed_seeds_now && !dnsseed) {
- LOCK2(m_addr_fetches_mutex, cs_vAddedNodes);
- if (m_addr_fetches.empty() && vAddedNodes.empty()) {
+ LOCK2(m_addr_fetches_mutex, m_added_nodes_mutex);
+ if (m_addr_fetches.empty() && m_added_nodes.empty()) {
add_fixed_seeds_now = true;
LogPrintf("Adding fixed seeds as -dnsseed=0, -addnode is not provided and all -seednode(s) attempted\n");
}
@@ -1808,7 +1946,7 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
if (add_fixed_seeds_now) {
CNetAddr local;
local.SetInternal("fixedseeds");
- addrman.Add(convertSeed6(Params().FixedSeeds()), local);
+ addrman.Add(ConvertSeeds(Params().FixedSeeds()), local);
add_fixed_seeds = false;
}
}
@@ -1824,8 +1962,8 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
std::set<std::vector<unsigned char> > setConnected;
{
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
if (pnode->IsFullOutboundConn()) nOutboundFullRelay++;
if (pnode->IsBlockOnlyConn()) nOutboundBlockRelay++;
@@ -1842,7 +1980,7 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
case ConnectionType::BLOCK_RELAY:
case ConnectionType::ADDR_FETCH:
case ConnectionType::FEELER:
- setConnected.insert(pnode->addr.GetGroup(addrman.m_asmap));
+ setConnected.insert(pnode->addr.GetGroup(addrman.GetAsmap()));
} // no default case, so the compiler can warn about missing cases
}
}
@@ -1885,7 +2023,7 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
//
// This is similar to the logic for trying extra outbound (full-relay)
// peers, except:
- // - we do this all the time on a poisson timer, rather than just when
+ // - we do this all the time on an exponential timer, rather than just when
// our tip is stale
// - we potentially disconnect our next-youngest block-relay-only peer, if our
// newest block-relay-only peer delivers a block more recently.
@@ -1894,10 +2032,10 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
// Because we can promote these connections to block-relay-only
// connections, they do not get their own ConnectionType enum
// (similar to how we deal with extra outbound peers).
- next_extra_block_relay = PoissonNextSend(now, EXTRA_BLOCK_RELAY_ONLY_PEER_INTERVAL);
+ next_extra_block_relay = GetExponentialRand(now, EXTRA_BLOCK_RELAY_ONLY_PEER_INTERVAL);
conn_type = ConnectionType::BLOCK_RELAY;
} else if (now > next_feeler) {
- next_feeler = PoissonNextSend(now, FEELER_INTERVAL);
+ next_feeler = GetExponentialRand(now, FEELER_INTERVAL);
conn_type = ConnectionType::FEELER;
fFeeler = true;
} else {
@@ -1916,7 +2054,7 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
m_anchors.pop_back();
if (!addr.IsValid() || IsLocal(addr) || !IsReachable(addr) ||
!HasAllDesirableServiceFlags(addr.nServices) ||
- setConnected.count(addr.GetGroup(addrman.m_asmap))) continue;
+ setConnected.count(addr.GetGroup(addrman.GetAsmap()))) continue;
addrConnect = addr;
LogPrint(BCLog::NET, "Trying to make an anchor connection to %s\n", addrConnect.ToString());
break;
@@ -1929,17 +2067,18 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
if (nTries > 100)
break;
- CAddrInfo addr;
+ CAddress addr;
+ int64_t addr_last_try{0};
if (fFeeler) {
// First, try to get a tried table collision address. This returns
// an empty (invalid) address if there are no collisions to try.
- addr = addrman.SelectTriedCollision();
+ std::tie(addr, addr_last_try) = addrman.SelectTriedCollision();
if (!addr.IsValid()) {
// No tried table collisions. Select a new table address
// for our feeler.
- addr = addrman.Select(true);
+ std::tie(addr, addr_last_try) = addrman.Select(true);
} else if (AlreadyConnectedToAddress(addr)) {
// If test-before-evict logic would have us connect to a
// peer that we're already connected to, just mark that
@@ -1948,15 +2087,15 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
// a currently-connected peer.
addrman.Good(addr);
// Select a new table address for our feeler instead.
- addr = addrman.Select(true);
+ std::tie(addr, addr_last_try) = addrman.Select(true);
}
} else {
// Not a feeler
- addr = addrman.Select();
+ std::tie(addr, addr_last_try) = addrman.Select();
}
// Require outbound connections, other than feelers, to be to distinct network groups
- if (!fFeeler && setConnected.count(addr.GetGroup(addrman.m_asmap))) {
+ if (!fFeeler && setConnected.count(addr.GetGroup(addrman.GetAsmap()))) {
break;
}
@@ -1969,7 +2108,7 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
continue;
// only consider very recently tried nodes after 30 failed attempts
- if (nANow - addr.nLastTry < 600 && nTries < 30)
+ if (nANow - addr_last_try < 600 && nTries < 30)
continue;
// for non-feelers, require all the services we'll want,
@@ -1986,8 +2125,9 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
// from advertising themselves as a service on another host and
// port, causing a DoS attack as nodes around the network attempt
// to connect to it fruitlessly.
- if (addr.GetPort() != Params().GetDefaultPort() && nTries < 50)
+ if (addr.GetPort() != Params().GetDefaultPort(addr.GetNetwork()) && nTries < 50) {
continue;
+ }
addrConnect = addr;
break;
@@ -2011,8 +2151,8 @@ void CConnman::ThreadOpenConnections(const std::vector<std::string> connect)
std::vector<CAddress> CConnman::GetCurrentBlockRelayOnlyConns() const
{
std::vector<CAddress> ret;
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
if (pnode->IsBlockOnlyConn()) {
ret.push_back(pnode->addr);
}
@@ -2021,15 +2161,15 @@ std::vector<CAddress> CConnman::GetCurrentBlockRelayOnlyConns() const
return ret;
}
-std::vector<AddedNodeInfo> CConnman::GetAddedNodeInfo()
+std::vector<AddedNodeInfo> CConnman::GetAddedNodeInfo() const
{
std::vector<AddedNodeInfo> ret;
std::list<std::string> lAddresses(0);
{
- LOCK(cs_vAddedNodes);
- ret.reserve(vAddedNodes.size());
- std::copy(vAddedNodes.cbegin(), vAddedNodes.cend(), std::back_inserter(lAddresses));
+ LOCK(m_added_nodes_mutex);
+ ret.reserve(m_added_nodes.size());
+ std::copy(m_added_nodes.cbegin(), m_added_nodes.cend(), std::back_inserter(lAddresses));
}
@@ -2037,12 +2177,12 @@ std::vector<AddedNodeInfo> CConnman::GetAddedNodeInfo()
std::map<CService, bool> mapConnected;
std::map<std::string, std::pair<bool, CService>> mapConnectedByName;
{
- LOCK(cs_vNodes);
- for (const CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (const CNode* pnode : m_nodes) {
if (pnode->addr.IsValid()) {
mapConnected[pnode->addr] = pnode->IsInboundConn();
}
- std::string addrName = pnode->GetAddrName();
+ std::string addrName{pnode->m_addr_name};
if (!addrName.empty()) {
mapConnectedByName[std::move(addrName)] = std::make_pair(pnode->IsInboundConn(), static_cast<const CService&>(pnode->addr));
}
@@ -2050,7 +2190,7 @@ std::vector<AddedNodeInfo> CConnman::GetAddedNodeInfo()
}
for (const std::string& strAddNode : lAddresses) {
- CService service(LookupNumeric(strAddNode, Params().GetDefaultPort()));
+ CService service(LookupNumeric(strAddNode, Params().GetDefaultPort(strAddNode)));
AddedNodeInfo addedNode{strAddNode, CService(), false, false};
if (service.IsValid()) {
// strAddNode is an IP:port
@@ -2077,6 +2217,7 @@ std::vector<AddedNodeInfo> CConnman::GetAddedNodeInfo()
void CConnman::ThreadOpenAddedConnections()
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::NET_ADD_CONNECTION);
while (true)
{
CSemaphoreGrant grant(*semAddnode);
@@ -2133,50 +2274,42 @@ void CConnman::OpenNetworkConnection(const CAddress& addrConnect, bool fCountFai
m_msgproc->InitializeNode(pnode);
{
- LOCK(cs_vNodes);
- vNodes.push_back(pnode);
+ LOCK(m_nodes_mutex);
+ m_nodes.push_back(pnode);
}
}
void CConnman::ThreadMessageHandler()
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::MESSAGE_HANDLER);
while (!flagInterruptMsgProc)
{
- std::vector<CNode*> vNodesCopy;
- {
- LOCK(cs_vNodes);
- vNodesCopy = vNodes;
- for (CNode* pnode : vNodesCopy) {
- pnode->AddRef();
- }
- }
-
bool fMoreWork = false;
- for (CNode* pnode : vNodesCopy)
{
- if (pnode->fDisconnect)
- continue;
+ // Randomize the order in which we process messages from/to our peers.
+ // This prevents attacks in which an attacker exploits having multiple
+ // consecutive connections in the m_nodes list.
+ const NodesSnapshot snap{*this, /*shuffle=*/true};
- // Receive messages
- bool fMoreNodeWork = m_msgproc->ProcessMessages(pnode, flagInterruptMsgProc);
- fMoreWork |= (fMoreNodeWork && !pnode->fPauseSend);
- if (flagInterruptMsgProc)
- return;
- // Send messages
- {
- LOCK(pnode->cs_sendProcessing);
- m_msgproc->SendMessages(pnode);
- }
+ for (CNode* pnode : snap.Nodes()) {
+ if (pnode->fDisconnect)
+ continue;
- if (flagInterruptMsgProc)
- return;
- }
+ // Receive messages
+ bool fMoreNodeWork = m_msgproc->ProcessMessages(pnode, flagInterruptMsgProc);
+ fMoreWork |= (fMoreNodeWork && !pnode->fPauseSend);
+ if (flagInterruptMsgProc)
+ return;
+ // Send messages
+ {
+ LOCK(pnode->cs_sendProcessing);
+ m_msgproc->SendMessages(pnode);
+ }
- {
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodesCopy)
- pnode->Release();
+ if (flagInterruptMsgProc)
+ return;
+ }
}
WAIT_LOCK(mutexMsgProc, lock);
@@ -2213,7 +2346,7 @@ void CConnman::ThreadI2PAcceptIncoming()
}
if (!advertising_listen_addr) {
- AddLocal(conn.me, LOCAL_BIND);
+ AddLocal(conn.me, LOCAL_MANUAL);
advertising_listen_addr = true;
}
@@ -2221,7 +2354,7 @@ void CConnman::ThreadI2PAcceptIncoming()
continue;
}
- CreateNodeFromAcceptedSocket(conn.sock.Release(), NetPermissionFlags::PF_NONE,
+ CreateNodeFromAcceptedSocket(std::move(conn.sock), NetPermissionFlags::None,
CAddress{conn.me, NODE_NONE}, CAddress{conn.peer, NODE_NONE});
}
}
@@ -2283,7 +2416,7 @@ bool CConnman::BindListenPort(const CService& addrBind, bilingual_str& strError,
return false;
}
- vhListenSocket.push_back(ListenSocket(sock->Release(), permissions));
+ vhListenSocket.emplace_back(std::move(sock), permissions);
return true;
}
@@ -2348,11 +2481,13 @@ void CConnman::SetNetworkActive(bool active)
fNetworkActive = active;
- uiInterface.NotifyNetworkActiveChanged(fNetworkActive);
+ if (m_client_interface) {
+ m_client_interface->NotifyNetworkActiveChanged(fNetworkActive);
+ }
}
-CConnman::CConnman(uint64_t nSeed0In, uint64_t nSeed1In, bool network_active)
- : nSeed0(nSeed0In), nSeed1(nSeed1In)
+CConnman::CConnman(uint64_t nSeed0In, uint64_t nSeed1In, AddrMan& addrman_in, bool network_active)
+ : addrman(addrman_in), nSeed0(nSeed0In), nSeed1(nSeed1In)
{
SetTryNewOutboundPeer(false);
@@ -2367,48 +2502,47 @@ NodeId CConnman::GetNewNodeId()
}
-bool CConnman::Bind(const CService &addr, unsigned int flags, NetPermissionFlags permissions) {
- if (!(flags & BF_EXPLICIT) && !IsReachable(addr))
+bool CConnman::Bind(const CService& addr_, unsigned int flags, NetPermissionFlags permissions)
+{
+ const CService addr{MaybeFlipIPv6toCJDNS(addr_)};
+
+ if (!(flags & BF_EXPLICIT) && !IsReachable(addr)) {
return false;
+ }
bilingual_str strError;
if (!BindListenPort(addr, strError, permissions)) {
- if ((flags & BF_REPORT_ERROR) && clientInterface) {
- clientInterface->ThreadSafeMessageBox(strError, "", CClientUIInterface::MSG_ERROR);
+ if ((flags & BF_REPORT_ERROR) && m_client_interface) {
+ m_client_interface->ThreadSafeMessageBox(strError, "", CClientUIInterface::MSG_ERROR);
}
return false;
}
- if (addr.IsRoutable() && fDiscover && !(flags & BF_DONT_ADVERTISE) && !(permissions & PF_NOBAN)) {
+ if (addr.IsRoutable() && fDiscover && !(flags & BF_DONT_ADVERTISE) && !NetPermissions::HasFlag(permissions, NetPermissionFlags::NoBan)) {
AddLocal(addr, LOCAL_BIND);
}
return true;
}
-bool CConnman::InitBinds(
- const std::vector<CService>& binds,
- const std::vector<NetWhitebindPermissions>& whiteBinds,
- const std::vector<CService>& onion_binds)
+bool CConnman::InitBinds(const Options& options)
{
bool fBound = false;
- for (const auto& addrBind : binds) {
- fBound |= Bind(addrBind, (BF_EXPLICIT | BF_REPORT_ERROR), NetPermissionFlags::PF_NONE);
+ for (const auto& addrBind : options.vBinds) {
+ fBound |= Bind(addrBind, (BF_EXPLICIT | BF_REPORT_ERROR), NetPermissionFlags::None);
}
- for (const auto& addrBind : whiteBinds) {
+ for (const auto& addrBind : options.vWhiteBinds) {
fBound |= Bind(addrBind.m_service, (BF_EXPLICIT | BF_REPORT_ERROR), addrBind.m_flags);
}
- if (binds.empty() && whiteBinds.empty()) {
+ for (const auto& addr_bind : options.onion_binds) {
+ fBound |= Bind(addr_bind, BF_EXPLICIT | BF_DONT_ADVERTISE, NetPermissionFlags::None);
+ }
+ if (options.bind_on_any) {
struct in_addr inaddr_any;
inaddr_any.s_addr = htonl(INADDR_ANY);
struct in6_addr inaddr6_any = IN6ADDR_ANY_INIT;
- fBound |= Bind(CService(inaddr6_any, GetListenPort()), BF_NONE, NetPermissionFlags::PF_NONE);
- fBound |= Bind(CService(inaddr_any, GetListenPort()), !fBound ? BF_REPORT_ERROR : BF_NONE, NetPermissionFlags::PF_NONE);
+ fBound |= Bind(CService(inaddr6_any, GetListenPort()), BF_NONE, NetPermissionFlags::None);
+ fBound |= Bind(CService(inaddr_any, GetListenPort()), !fBound ? BF_REPORT_ERROR : BF_NONE, NetPermissionFlags::None);
}
-
- for (const auto& addr_bind : onion_binds) {
- fBound |= Bind(addr_bind, BF_EXPLICIT | BF_DONT_ADVERTISE, NetPermissionFlags::PF_NONE);
- }
-
return fBound;
}
@@ -2416,9 +2550,9 @@ bool CConnman::Start(CScheduler& scheduler, const Options& connOptions)
{
Init(connOptions);
- if (fListen && !InitBinds(connOptions.vBinds, connOptions.vWhiteBinds, connOptions.onion_binds)) {
- if (clientInterface) {
- clientInterface->ThreadSafeMessageBox(
+ if (fListen && !InitBinds(connOptions)) {
+ if (m_client_interface) {
+ m_client_interface->ThreadSafeMessageBox(
_("Failed to listen on any port. Use -listen=0 if you want this."),
"", CClientUIInterface::MSG_ERROR);
}
@@ -2427,7 +2561,7 @@ bool CConnman::Start(CScheduler& scheduler, const Options& connOptions)
proxyType i2p_sam;
if (GetProxy(NET_I2P, i2p_sam)) {
- m_i2p_sam_session = std::make_unique<i2p::sam::Session>(GetDataDir() / "i2p_private_key",
+ m_i2p_sam_session = std::make_unique<i2p::sam::Session>(gArgs.GetDataDirNet() / "i2p_private_key",
i2p_sam.proxy, &interruptNet);
}
@@ -2435,42 +2569,28 @@ bool CConnman::Start(CScheduler& scheduler, const Options& connOptions)
AddAddrFetch(strDest);
}
- if (clientInterface) {
- clientInterface->InitMessage(_("Loading P2P addresses...").translated);
- }
- // Load addresses from peers.dat
- int64_t nStart = GetTimeMillis();
- {
- CAddrDB adb;
- if (adb.Read(addrman))
- LogPrintf("Loaded %i addresses from peers.dat %dms\n", addrman.size(), GetTimeMillis() - nStart);
- else {
- addrman.Clear(); // Addrman can be in an inconsistent state after failure, reset it
- LogPrintf("Recreating peers.dat\n");
- DumpAddresses();
- }
- }
-
if (m_use_addrman_outgoing) {
// Load addresses from anchors.dat
- m_anchors = ReadAnchors(GetDataDir() / ANCHORS_DATABASE_FILENAME);
+ m_anchors = ReadAnchors(gArgs.GetDataDirNet() / ANCHORS_DATABASE_FILENAME);
if (m_anchors.size() > MAX_BLOCK_RELAY_ONLY_ANCHORS) {
m_anchors.resize(MAX_BLOCK_RELAY_ONLY_ANCHORS);
}
LogPrintf("%i block-relay-only anchors will be tried for connections.\n", m_anchors.size());
}
- uiInterface.InitMessage(_("Starting network threads...").translated);
+ if (m_client_interface) {
+ m_client_interface->InitMessage(_("Starting network threads…").translated);
+ }
fAddressesInitialized = true;
if (semOutbound == nullptr) {
// initialize semaphore
- semOutbound = MakeUnique<CSemaphore>(std::min(m_max_outbound, nMaxConnections));
+ semOutbound = std::make_unique<CSemaphore>(std::min(m_max_outbound, nMaxConnections));
}
if (semAddnode == nullptr) {
// initialize semaphore
- semAddnode = MakeUnique<CSemaphore>(nMaxAddnode);
+ semAddnode = std::make_unique<CSemaphore>(nMaxAddnode);
}
//
@@ -2487,34 +2607,36 @@ bool CConnman::Start(CScheduler& scheduler, const Options& connOptions)
}
// Send and receive from sockets, accept connections
- threadSocketHandler = std::thread(&TraceThread<std::function<void()> >, "net", std::function<void()>(std::bind(&CConnman::ThreadSocketHandler, this)));
+ threadSocketHandler = std::thread(&util::TraceThread, "net", [this] { ThreadSocketHandler(); });
if (!gArgs.GetBoolArg("-dnsseed", DEFAULT_DNSSEED))
LogPrintf("DNS seeding disabled\n");
else
- threadDNSAddressSeed = std::thread(&TraceThread<std::function<void()> >, "dnsseed", std::function<void()>(std::bind(&CConnman::ThreadDNSAddressSeed, this)));
+ threadDNSAddressSeed = std::thread(&util::TraceThread, "dnsseed", [this] { ThreadDNSAddressSeed(); });
// Initiate manual connections
- threadOpenAddedConnections = std::thread(&TraceThread<std::function<void()> >, "addcon", std::function<void()>(std::bind(&CConnman::ThreadOpenAddedConnections, this)));
+ threadOpenAddedConnections = std::thread(&util::TraceThread, "addcon", [this] { ThreadOpenAddedConnections(); });
if (connOptions.m_use_addrman_outgoing && !connOptions.m_specified_outgoing.empty()) {
- if (clientInterface) {
- clientInterface->ThreadSafeMessageBox(
+ if (m_client_interface) {
+ m_client_interface->ThreadSafeMessageBox(
_("Cannot provide specific connections and have addrman find outgoing connections at the same."),
"", CClientUIInterface::MSG_ERROR);
}
return false;
}
- if (connOptions.m_use_addrman_outgoing || !connOptions.m_specified_outgoing.empty())
- threadOpenConnections = std::thread(&TraceThread<std::function<void()> >, "opencon", std::function<void()>(std::bind(&CConnman::ThreadOpenConnections, this, connOptions.m_specified_outgoing)));
+ if (connOptions.m_use_addrman_outgoing || !connOptions.m_specified_outgoing.empty()) {
+ threadOpenConnections = std::thread(
+ &util::TraceThread, "opencon",
+ [this, connect = connOptions.m_specified_outgoing] { ThreadOpenConnections(connect); });
+ }
// Process messages
- threadMessageHandler = std::thread(&TraceThread<std::function<void()> >, "msghand", std::function<void()>(std::bind(&CConnman::ThreadMessageHandler, this)));
+ threadMessageHandler = std::thread(&util::TraceThread, "msghand", [this] { ThreadMessageHandler(); });
if (connOptions.m_i2p_accept_incoming && m_i2p_sam_session.get() != nullptr) {
threadI2PAcceptIncoming =
- std::thread(&TraceThread<std::function<void()>>, "i2paccept",
- std::function<void()>(std::bind(&CConnman::ThreadI2PAcceptIncoming, this)));
+ std::thread(&util::TraceThread, "i2paccept", [this] { ThreadI2PAcceptIncoming(); });
}
// Dump network addresses
@@ -2591,28 +2713,22 @@ void CConnman::StopNodes()
if (anchors_to_dump.size() > MAX_BLOCK_RELAY_ONLY_ANCHORS) {
anchors_to_dump.resize(MAX_BLOCK_RELAY_ONLY_ANCHORS);
}
- DumpAnchors(GetDataDir() / ANCHORS_DATABASE_FILENAME, anchors_to_dump);
+ DumpAnchors(gArgs.GetDataDirNet() / ANCHORS_DATABASE_FILENAME, anchors_to_dump);
}
}
- // Close sockets
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes)
+ // Delete peer connections.
+ std::vector<CNode*> nodes;
+ WITH_LOCK(m_nodes_mutex, nodes.swap(m_nodes));
+ for (CNode* pnode : nodes) {
pnode->CloseSocketDisconnect();
- for (ListenSocket& hListenSocket : vhListenSocket)
- if (hListenSocket.socket != INVALID_SOCKET)
- if (!CloseSocket(hListenSocket.socket))
- LogPrintf("CloseSocket(hListenSocket) failed with error %s\n", NetworkErrorString(WSAGetLastError()));
-
- // clean up some globals (to help leak detection)
- for (CNode* pnode : vNodes) {
DeleteNode(pnode);
}
- for (CNode* pnode : vNodesDisconnected) {
+
+ for (CNode* pnode : m_nodes_disconnected) {
DeleteNode(pnode);
}
- vNodes.clear();
- vNodesDisconnected.clear();
+ m_nodes_disconnected.clear();
vhListenSocket.clear();
semOutbound.reset();
semAddnode.reset();
@@ -2621,11 +2737,7 @@ void CConnman::StopNodes()
void CConnman::DeleteNode(CNode* pnode)
{
assert(pnode);
- bool fUpdateConnectionTime = false;
- m_msgproc->FinalizeNode(*pnode, fUpdateConnectionTime);
- if (fUpdateConnectionTime) {
- addrman.Connected(pnode->addr);
- }
+ m_msgproc->FinalizeNode(*pnode);
delete pnode;
}
@@ -2635,24 +2747,9 @@ CConnman::~CConnman()
Stop();
}
-void CConnman::SetServices(const CService &addr, ServiceFlags nServices)
-{
- addrman.SetServices(addr, nServices);
-}
-
-void CConnman::MarkAddressGood(const CAddress& addr)
-{
- addrman.Good(addr);
-}
-
-bool CConnman::AddNewAddresses(const std::vector<CAddress>& vAddr, const CAddress& addrFrom, int64_t nTimePenalty)
+std::vector<CAddress> CConnman::GetAddresses(size_t max_addresses, size_t max_pct, std::optional<Network> network) const
{
- return addrman.Add(vAddr, addrFrom, nTimePenalty);
-}
-
-std::vector<CAddress> CConnman::GetAddresses(size_t max_addresses, size_t max_pct)
-{
- std::vector<CAddress> addresses = addrman.GetAddr(max_addresses, max_pct);
+ std::vector<CAddress> addresses = addrman.GetAddr(max_addresses, max_pct, network);
if (m_banman) {
addresses.erase(std::remove_if(addresses.begin(), addresses.end(),
[this](const CAddress& addr){return m_banman->IsDiscouraged(addr) || m_banman->IsBanned(addr);}),
@@ -2672,7 +2769,7 @@ std::vector<CAddress> CConnman::GetAddresses(CNode& requestor, size_t max_addres
auto r = m_addr_response_caches.emplace(cache_id, CachedAddrResponse{});
CachedAddrResponse& cache_entry = r.first->second;
if (cache_entry.m_cache_entry_expiration < current_time) { // If emplace() added new one it has expiration 0.
- cache_entry.m_addrs_response_cache = GetAddresses(max_addresses, max_pct);
+ cache_entry.m_addrs_response_cache = GetAddresses(max_addresses, max_pct, /* network */ std::nullopt);
// Choosing a proper cache lifetime is a trade-off between the privacy leak minimization
// and the usefulness of ADDR responses to honest users.
//
@@ -2704,36 +2801,36 @@ std::vector<CAddress> CConnman::GetAddresses(CNode& requestor, size_t max_addres
bool CConnman::AddNode(const std::string& strNode)
{
- LOCK(cs_vAddedNodes);
- for (const std::string& it : vAddedNodes) {
+ LOCK(m_added_nodes_mutex);
+ for (const std::string& it : m_added_nodes) {
if (strNode == it) return false;
}
- vAddedNodes.push_back(strNode);
+ m_added_nodes.push_back(strNode);
return true;
}
bool CConnman::RemoveAddedNode(const std::string& strNode)
{
- LOCK(cs_vAddedNodes);
- for(std::vector<std::string>::iterator it = vAddedNodes.begin(); it != vAddedNodes.end(); ++it) {
+ LOCK(m_added_nodes_mutex);
+ for(std::vector<std::string>::iterator it = m_added_nodes.begin(); it != m_added_nodes.end(); ++it) {
if (strNode == *it) {
- vAddedNodes.erase(it);
+ m_added_nodes.erase(it);
return true;
}
}
return false;
}
-size_t CConnman::GetNodeCount(NumConnections flags)
+size_t CConnman::GetNodeCount(ConnectionDirection flags) const
{
- LOCK(cs_vNodes);
- if (flags == CConnman::CONNECTIONS_ALL) // Shortcut if we want total
- return vNodes.size();
+ LOCK(m_nodes_mutex);
+ if (flags == ConnectionDirection::Both) // Shortcut if we want total
+ return m_nodes.size();
int nNum = 0;
- for (const auto& pnode : vNodes) {
- if (flags & (pnode->IsInboundConn() ? CONNECTIONS_IN : CONNECTIONS_OUT)) {
+ for (const auto& pnode : m_nodes) {
+ if (flags & (pnode->IsInboundConn() ? ConnectionDirection::In : ConnectionDirection::Out)) {
nNum++;
}
}
@@ -2741,20 +2838,21 @@ size_t CConnman::GetNodeCount(NumConnections flags)
return nNum;
}
-void CConnman::GetNodeStats(std::vector<CNodeStats>& vstats)
+void CConnman::GetNodeStats(std::vector<CNodeStats>& vstats) const
{
vstats.clear();
- LOCK(cs_vNodes);
- vstats.reserve(vNodes.size());
- for (CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ vstats.reserve(m_nodes.size());
+ for (CNode* pnode : m_nodes) {
vstats.emplace_back();
- pnode->copyStats(vstats.back(), addrman.m_asmap);
+ pnode->CopyStats(vstats.back());
+ vstats.back().m_mapped_as = pnode->addr.GetMappedAS(addrman.GetAsmap());
}
}
bool CConnman::DisconnectNode(const std::string& strNode)
{
- LOCK(cs_vNodes);
+ LOCK(m_nodes_mutex);
if (CNode* pnode = FindNode(strNode)) {
LogPrint(BCLog::NET, "disconnect by address%s matched peer=%d; disconnecting\n", (fLogIPs ? strprintf("=%s", strNode) : ""), pnode->GetId());
pnode->fDisconnect = true;
@@ -2766,8 +2864,8 @@ bool CConnman::DisconnectNode(const std::string& strNode)
bool CConnman::DisconnectNode(const CSubNet& subnet)
{
bool disconnected = false;
- LOCK(cs_vNodes);
- for (CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (CNode* pnode : m_nodes) {
if (subnet.Match(pnode->addr)) {
LogPrint(BCLog::NET, "disconnect by subnet%s matched peer=%d; disconnecting\n", (fLogIPs ? strprintf("=%s", subnet.ToString()) : ""), pnode->GetId());
pnode->fDisconnect = true;
@@ -2784,8 +2882,8 @@ bool CConnman::DisconnectNode(const CNetAddr& addr)
bool CConnman::DisconnectNode(NodeId id)
{
- LOCK(cs_vNodes);
- for(CNode* pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for(CNode* pnode : m_nodes) {
if (id == pnode->GetId()) {
LogPrint(BCLog::NET, "disconnect by id peer=%d; disconnecting\n", pnode->GetId());
pnode->fDisconnect = true;
@@ -2797,7 +2895,6 @@ bool CConnman::DisconnectNode(NodeId id)
void CConnman::RecordBytesRecv(uint64_t bytes)
{
- LOCK(cs_totalBytesRecv);
nTotalBytesRecv += bytes;
}
@@ -2814,22 +2911,21 @@ void CConnman::RecordBytesSent(uint64_t bytes)
nMaxOutboundTotalBytesSentInCycle = 0;
}
- // TODO, exclude peers with download permission
nMaxOutboundTotalBytesSentInCycle += bytes;
}
-uint64_t CConnman::GetMaxOutboundTarget()
+uint64_t CConnman::GetMaxOutboundTarget() const
{
LOCK(cs_totalBytesSent);
return nMaxOutboundLimit;
}
-std::chrono::seconds CConnman::GetMaxOutboundTimeframe()
+std::chrono::seconds CConnman::GetMaxOutboundTimeframe() const
{
return MAX_UPLOAD_TIMEFRAME;
}
-std::chrono::seconds CConnman::GetMaxOutboundTimeLeftInCycle()
+std::chrono::seconds CConnman::GetMaxOutboundTimeLeftInCycle() const
{
LOCK(cs_totalBytesSent);
if (nMaxOutboundLimit == 0)
@@ -2843,7 +2939,7 @@ std::chrono::seconds CConnman::GetMaxOutboundTimeLeftInCycle()
return (cycleEndTime < now) ? 0s : cycleEndTime - now;
}
-bool CConnman::OutboundTargetReached(bool historicalBlockServingLimit)
+bool CConnman::OutboundTargetReached(bool historicalBlockServingLimit) const
{
LOCK(cs_totalBytesSent);
if (nMaxOutboundLimit == 0)
@@ -2863,7 +2959,7 @@ bool CConnman::OutboundTargetReached(bool historicalBlockServingLimit)
return false;
}
-uint64_t CConnman::GetOutboundTargetBytesLeft()
+uint64_t CConnman::GetOutboundTargetBytesLeft() const
{
LOCK(cs_totalBytesSent);
if (nMaxOutboundLimit == 0)
@@ -2872,13 +2968,12 @@ uint64_t CConnman::GetOutboundTargetBytesLeft()
return (nMaxOutboundTotalBytesSentInCycle >= nMaxOutboundLimit) ? 0 : nMaxOutboundLimit - nMaxOutboundTotalBytesSentInCycle;
}
-uint64_t CConnman::GetTotalBytesRecv()
+uint64_t CConnman::GetTotalBytesRecv() const
{
- LOCK(cs_totalBytesRecv);
return nTotalBytesRecv;
}
-uint64_t CConnman::GetTotalBytesSent()
+uint64_t CConnman::GetTotalBytesSent() const
{
LOCK(cs_totalBytesSent);
return nTotalBytesSent;
@@ -2891,10 +2986,12 @@ ServiceFlags CConnman::GetLocalServices() const
unsigned int CConnman::GetReceiveFloodSize() const { return nReceiveFloodSize; }
-CNode::CNode(NodeId idIn, ServiceFlags nLocalServicesIn, SOCKET hSocketIn, const CAddress& addrIn, uint64_t nKeyedNetGroupIn, uint64_t nLocalHostNonceIn, const CAddress& addrBindIn, const std::string& addrNameIn, ConnectionType conn_type_in, bool inbound_onion)
- : nTimeConnected(GetSystemTimeInSeconds()),
+CNode::CNode(NodeId idIn, ServiceFlags nLocalServicesIn, std::shared_ptr<Sock> sock, const CAddress& addrIn, uint64_t nKeyedNetGroupIn, uint64_t nLocalHostNonceIn, const CAddress& addrBindIn, const std::string& addrNameIn, ConnectionType conn_type_in, bool inbound_onion)
+ : m_sock{sock},
+ m_connected{GetTime<std::chrono::seconds>()},
addr(addrIn),
addrBind(addrBindIn),
+ m_addr_name{addrNameIn.empty() ? addr.ToStringIPPort() : addrNameIn},
m_inbound_onion(inbound_onion),
nKeyedNetGroup(nKeyedNetGroupIn),
id(idIn),
@@ -2903,14 +3000,8 @@ CNode::CNode(NodeId idIn, ServiceFlags nLocalServicesIn, SOCKET hSocketIn, const
nLocalServices(nLocalServicesIn)
{
if (inbound_onion) assert(conn_type_in == ConnectionType::INBOUND);
- hSocket = hSocketIn;
- addrName = addrNameIn == "" ? addr.ToStringIPPort() : addrNameIn;
if (conn_type_in != ConnectionType::BLOCK_RELAY) {
- m_tx_relay = MakeUnique<TxRelay>();
- }
-
- if (RelayAddrsWithConn()) {
- m_addr_known = MakeUnique<CRollingBloomFilter>(5000, 0.001);
+ m_tx_relay = std::make_unique<TxRelay>();
}
for (const std::string &msg : getAllNetMessageTypes())
@@ -2918,18 +3009,13 @@ CNode::CNode(NodeId idIn, ServiceFlags nLocalServicesIn, SOCKET hSocketIn, const
mapRecvBytesPerMsgCmd[NET_MESSAGE_COMMAND_OTHER] = 0;
if (fLogIPs) {
- LogPrint(BCLog::NET, "Added connection to %s peer=%d\n", addrName, id);
+ LogPrint(BCLog::NET, "Added connection to %s peer=%d\n", m_addr_name, id);
} else {
LogPrint(BCLog::NET, "Added connection peer=%d\n", id);
}
- m_deserializer = MakeUnique<V1TransportDeserializer>(V1TransportDeserializer(Params(), GetId(), SER_NETWORK, INIT_PROTO_VERSION));
- m_serializer = MakeUnique<V1TransportSerializer>(V1TransportSerializer());
-}
-
-CNode::~CNode()
-{
- CloseSocket(hSocket);
+ m_deserializer = std::make_unique<V1TransportDeserializer>(V1TransportDeserializer(Params(), id, SER_NETWORK, INIT_PROTO_VERSION));
+ m_serializer = std::make_unique<V1TransportSerializer>(V1TransportSerializer());
}
bool CConnman::NodeFullyConnected(const CNode* pnode)
@@ -2940,11 +3026,20 @@ bool CConnman::NodeFullyConnected(const CNode* pnode)
void CConnman::PushMessage(CNode* pnode, CSerializedNetMsg&& msg)
{
size_t nMessageSize = msg.data.size();
- LogPrint(BCLog::NET, "sending %s (%d bytes) peer=%d\n", SanitizeString(msg.m_type), nMessageSize, pnode->GetId());
+ LogPrint(BCLog::NET, "sending %s (%d bytes) peer=%d\n", msg.m_type, nMessageSize, pnode->GetId());
if (gArgs.GetBoolArg("-capturemessages", false)) {
- CaptureMessage(pnode->addr, msg.m_type, msg.data, /* incoming */ false);
+ CaptureMessage(pnode->addr, msg.m_type, msg.data, /*is_incoming=*/false);
}
+ TRACE6(net, outbound_message,
+ pnode->GetId(),
+ pnode->m_addr_name.c_str(),
+ pnode->ConnectionTypeAsString().c_str(),
+ msg.m_type.c_str(),
+ msg.data.size(),
+ msg.data.data()
+ );
+
// make sure we use the appropriate network transport format
std::vector<unsigned char> serializedHeader;
pnode->m_serializer->prepareForTransport(msg, serializedHeader);
@@ -2972,8 +3067,8 @@ void CConnman::PushMessage(CNode* pnode, CSerializedNetMsg&& msg)
bool CConnman::ForNode(NodeId id, std::function<bool(CNode* pnode)> func)
{
CNode* found = nullptr;
- LOCK(cs_vNodes);
- for (auto&& pnode : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (auto&& pnode : m_nodes) {
if(pnode->GetId() == id) {
found = pnode;
break;
@@ -2982,23 +3077,6 @@ bool CConnman::ForNode(NodeId id, std::function<bool(CNode* pnode)> func)
return found != nullptr && NodeFullyConnected(found) && func(found);
}
-std::chrono::microseconds CConnman::PoissonNextSendInbound(std::chrono::microseconds now, std::chrono::seconds average_interval)
-{
- if (m_next_send_inv_to_incoming.load() < now) {
- // If this function were called from multiple threads simultaneously
- // it would possible that both update the next send variable, and return a different result to their caller.
- // This is not possible in practice as only the net processing thread invokes this function.
- m_next_send_inv_to_incoming = PoissonNextSend(now, average_interval);
- }
- return m_next_send_inv_to_incoming;
-}
-
-std::chrono::microseconds PoissonNextSend(std::chrono::microseconds now, std::chrono::seconds average_interval)
-{
- double unscaled = -log1p(GetRand(1ULL << 48) * -0.0000000000000035527136788 /* -1/2^48 */);
- return now + std::chrono::duration_cast<std::chrono::microseconds>(unscaled * average_interval + 0.5us);
-}
-
CSipHasher CConnman::GetDeterministicRandomizer(uint64_t id) const
{
return CSipHasher(nSeed0, nSeed1).Write(id);
@@ -3006,7 +3084,7 @@ CSipHasher CConnman::GetDeterministicRandomizer(uint64_t id) const
uint64_t CConnman::CalculateKeyedNetGroup(const CAddress& ad) const
{
- std::vector<unsigned char> vchNetGroup(ad.GetGroup(addrman.m_asmap));
+ std::vector<unsigned char> vchNetGroup(ad.GetGroup(addrman.GetAsmap()));
return GetDeterministicRandomizer(RANDOMIZER_ID_NETGROUP).Write(vchNetGroup.data(), vchNetGroup.size()).Finalize();
}
@@ -3023,18 +3101,18 @@ void CaptureMessage(const CAddress& addr, const std::string& msg_type, const Spa
std::string clean_addr = addr.ToString();
std::replace(clean_addr.begin(), clean_addr.end(), ':', '_');
- fs::path base_path = GetDataDir() / "message_capture" / clean_addr;
+ fs::path base_path = gArgs.GetDataDirNet() / "message_capture" / clean_addr;
fs::create_directories(base_path);
fs::path path = base_path / (is_incoming ? "msgs_recv.dat" : "msgs_sent.dat");
CAutoFile f(fsbridge::fopen(path, "ab"), SER_DISK, CLIENT_VERSION);
ser_writedata64(f, now.count());
- f.write(msg_type.data(), msg_type.length());
+ f.write(MakeByteSpan(msg_type));
for (auto i = msg_type.length(); i < CMessageHeader::COMMAND_SIZE; ++i) {
- f << '\0';
+ f << uint8_t{'\0'};
}
uint32_t size = data.size();
ser_writedata32(f, size);
- f.write((const char*)data.data(), data.size());
+ f.write(AsBytes(data));
}
diff --git a/src/net.h b/src/net.h
index f1d22ffed0..3f4c8e38ec 100644
--- a/src/net.h
+++ b/src/net.h
@@ -1,23 +1,21 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_NET_H
#define BITCOIN_NET_H
-#include <addrdb.h>
-#include <addrman.h>
-#include <amount.h>
-#include <bloom.h>
#include <chainparams.h>
+#include <common/bloom.h>
#include <compat.h>
+#include <consensus/amount.h>
#include <crypto/siphash.h>
#include <hash.h>
#include <i2p.h>
#include <net_permissions.h>
#include <netaddress.h>
-#include <optional.h>
+#include <netbase.h>
#include <policy/feerate.h>
#include <protocol.h>
#include <random.h>
@@ -27,6 +25,7 @@
#include <threadinterrupt.h>
#include <uint256.h>
#include <util/check.h>
+#include <util/sock.h>
#include <atomic>
#include <condition_variable>
@@ -34,12 +33,14 @@
#include <deque>
#include <map>
#include <memory>
+#include <optional>
#include <thread>
#include <vector>
-class CScheduler;
-class CNode;
+class AddrMan;
class BanMan;
+class CNode;
+class CScheduler;
struct bilingual_str;
/** Default for -whitelistrelay. */
@@ -48,13 +49,11 @@ static const bool DEFAULT_WHITELISTRELAY = true;
static const bool DEFAULT_WHITELISTFORCERELAY = false;
/** Time after which to disconnect, after waiting for a ping response (or inactivity). */
-static const int TIMEOUT_INTERVAL = 20 * 60;
+static constexpr std::chrono::minutes TIMEOUT_INTERVAL{20};
/** Run the feeler connection loop once every 2 minutes. **/
static constexpr auto FEELER_INTERVAL = 2min;
/** Run the extra block-relay-only connection loop once every 5 minutes. **/
static constexpr auto EXTRA_BLOCK_RELAY_ONLY_PEER_INTERVAL = 5min;
-/** The maximum number of addresses from our addrman to return in response to a getaddr message. */
-static constexpr size_t MAX_ADDR_TO_SEND = 1000;
/** Maximum length of incoming protocol messages (no message over 4 MB is currently acceptable). */
static const unsigned int MAX_PROTOCOL_MESSAGE_LENGTH = 4 * 1000 * 1000;
/** Maximum length of the user agent string in `version` message */
@@ -72,7 +71,7 @@ static const bool DEFAULT_LISTEN = true;
/** The maximum number of peer connections to maintain. */
static const unsigned int DEFAULT_MAX_PEER_CONNECTIONS = 125;
/** The default for -maxuploadtarget. 0 = Unlimited */
-static constexpr uint64_t DEFAULT_MAX_UPLOAD_TARGET = 0;
+static const std::string DEFAULT_MAX_UPLOAD_TARGET{"0M"};
/** Default for blocks only*/
static const bool DEFAULT_BLOCKSONLY = false;
/** -peertimeout default */
@@ -80,9 +79,9 @@ static const int64_t DEFAULT_PEER_CONNECT_TIMEOUT = 60;
/** Number of file descriptors required for message capture **/
static const int NUM_FDS_MESSAGE_CAPTURE = 1;
-static const bool DEFAULT_FORCEDNSSEED = false;
-static const bool DEFAULT_DNSSEED = true;
-static const bool DEFAULT_FIXEDSEEDS = true;
+static constexpr bool DEFAULT_FORCEDNSSEED{false};
+static constexpr bool DEFAULT_DNSSEED{true};
+static constexpr bool DEFAULT_FIXEDSEEDS{true};
static const size_t DEFAULT_MAXRECEIVEBUFFER = 5 * 1000;
static const size_t DEFAULT_MAXSENDBUFFER = 1 * 1000;
@@ -199,7 +198,7 @@ enum
bool IsPeerAddrLocalGood(CNode *pnode);
/** Returns a local address that we should advertise to this peer */
-Optional<CAddress> GetLocalAddrForPeer(CNode *pnode);
+std::optional<CAddress> GetLocalAddrForPeer(CNode *pnode);
/**
* Mark a network as reachable or unreachable (no automatic connects to it)
@@ -228,11 +227,11 @@ extern std::string strSubVersion;
struct LocalServiceInfo {
int nScore;
- int nPort;
+ uint16_t nPort;
};
-extern RecursiveMutex cs_mapLocalHost;
-extern std::map<CNetAddr, LocalServiceInfo> mapLocalHost GUARDED_BY(cs_mapLocalHost);
+extern Mutex g_maplocalhost_mutex;
+extern std::map<CNetAddr, LocalServiceInfo> mapLocalHost GUARDED_BY(g_maplocalhost_mutex);
extern const std::string NET_MESSAGE_COMMAND_OTHER;
typedef std::map<std::string, uint64_t> mapMsgCmdSize; //command, total bytes
@@ -243,13 +242,13 @@ public:
NodeId nodeid;
ServiceFlags nServices;
bool fRelayTxes;
- int64_t nLastSend;
- int64_t nLastRecv;
- int64_t nLastTXTime;
- int64_t nLastBlockTime;
- int64_t nTimeConnected;
+ std::chrono::seconds m_last_send;
+ std::chrono::seconds m_last_recv;
+ std::chrono::seconds m_last_tx_time;
+ std::chrono::seconds m_last_block_time;
+ std::chrono::seconds m_connected;
int64_t nTimeOffset;
- std::string addrName;
+ std::string m_addr_name;
int nVersion;
std::string cleanSubVer;
bool fInbound;
@@ -279,7 +278,7 @@ public:
/** Transport protocol agnostic message container.
* Ideally it should only contain receive time, payload,
- * command and size.
+ * type and size.
*/
class CNetMessage {
public:
@@ -287,7 +286,7 @@ public:
std::chrono::microseconds m_time{0}; //!< time of message receipt
uint32_t m_message_size{0}; //!< size of the payload
uint32_t m_raw_message_size{0}; //!< used wire size of the message (including header/checksum)
- std::string m_command;
+ std::string m_type;
CNetMessage(CDataStream&& recv_in) : m_recv(std::move(recv_in)) {}
@@ -310,7 +309,7 @@ public:
/** read and deserialize data, advances msg_bytes data pointer */
virtual int Read(Span<const uint8_t>& msg_bytes) = 0;
// decomposes a message from the context
- virtual Optional<CNetMessage> GetMessage(std::chrono::microseconds time, uint32_t& out_err) = 0;
+ virtual CNetMessage GetMessage(std::chrono::microseconds time, bool& reject_message) = 0;
virtual ~TransportDeserializer() {}
};
@@ -374,7 +373,7 @@ public:
}
return ret;
}
- Optional<CNetMessage> GetMessage(std::chrono::microseconds time, uint32_t& out_err_raw_size) override;
+ CNetMessage GetMessage(std::chrono::microseconds time, bool& reject_message) override;
};
/** The TransportSerializer prepares messages for the network transport
@@ -401,9 +400,19 @@ public:
std::unique_ptr<TransportDeserializer> m_deserializer;
std::unique_ptr<TransportSerializer> m_serializer;
- NetPermissionFlags m_permissionFlags{PF_NONE};
+ NetPermissionFlags m_permissionFlags{NetPermissionFlags::None};
std::atomic<ServiceFlags> nServices{NODE_NONE};
- SOCKET hSocket GUARDED_BY(cs_hSocket);
+
+ /**
+ * Socket used for communication with the node.
+ * May not own a Sock object (after `CloseSocketDisconnect()` or during tests).
+ * `shared_ptr` (instead of `unique_ptr`) is used to avoid premature close of
+ * the underlying file descriptor by one thread while another thread is
+ * poll(2)-ing it for activity.
+ * @see https://github.com/bitcoin/bitcoin/issues/21744 for details.
+ */
+ std::shared_ptr<Sock> m_sock GUARDED_BY(m_sock_mutex);
+
/** Total size of all vSendMsg entries */
size_t nSendSize GUARDED_BY(cs_vSend){0};
/** Offset inside the first vSendMsg already sent */
@@ -411,7 +420,7 @@ public:
uint64_t nSendBytes GUARDED_BY(cs_vSend){0};
std::deque<std::vector<unsigned char>> vSendMsg GUARDED_BY(cs_vSend);
Mutex cs_vSend;
- Mutex cs_hSocket;
+ Mutex m_sock_mutex;
Mutex cs_vRecv;
RecursiveMutex cs_vProcessMsg;
@@ -422,40 +431,36 @@ public:
uint64_t nRecvBytes GUARDED_BY(cs_vRecv){0};
- std::atomic<int64_t> nLastSend{0};
- std::atomic<int64_t> nLastRecv{0};
- const int64_t nTimeConnected;
+ std::atomic<std::chrono::seconds> m_last_send{0s};
+ std::atomic<std::chrono::seconds> m_last_recv{0s};
+ //! Unix epoch time at peer connection
+ const std::chrono::seconds m_connected;
std::atomic<int64_t> nTimeOffset{0};
// Address of this peer
const CAddress addr;
// Bind address of our side of the connection
const CAddress addrBind;
+ const std::string m_addr_name;
//! Whether this peer is an inbound onion, i.e. connected via our Tor onion service.
const bool m_inbound_onion;
std::atomic<int> nVersion{0};
- RecursiveMutex cs_SubVer;
+ Mutex m_subver_mutex;
/**
* cleanSubVer is a sanitized string of the user agent byte array we read
* from the wire. This cleaned string can safely be logged or displayed.
*/
- std::string cleanSubVer GUARDED_BY(cs_SubVer){};
+ std::string cleanSubVer GUARDED_BY(m_subver_mutex){};
bool m_prefer_evict{false}; // This peer is preferred for eviction.
bool HasPermission(NetPermissionFlags permission) const {
return NetPermissions::HasFlag(m_permissionFlags, permission);
}
bool fClient{false}; // set by version message
bool m_limited_node{false}; //after BIP159, set by version message
- /**
- * Whether the peer has signaled support for receiving ADDRv2 (BIP155)
- * messages, implying a preference to receive ADDRv2 instead of ADDR ones.
- */
- std::atomic_bool m_wants_addrv2{false};
/** fSuccessfullyConnected is set to true on receiving VERACK from the peer. */
std::atomic_bool fSuccessfullyConnected{false};
// Setting fDisconnect to true will cause the node to be disconnected the
// next time DisconnectNodes() runs
std::atomic_bool fDisconnect{false};
- bool fSentAddr{false};
CSemaphoreGrant grantOutbound;
std::atomic<int> nRefCount{0};
@@ -502,15 +507,6 @@ public:
return m_conn_type == ConnectionType::INBOUND;
}
- /* Whether we send addr messages over this connection */
- bool RelayAddrsWithConn() const
- {
- // Don't relay addr messages to peers that we connect to as block-relay-only
- // peers (to prevent adversaries from inferring these links from addr
- // traffic).
- return m_conn_type != ConnectionType::BLOCK_RELAY;
- }
-
bool ExpectServicesFromConn() const {
switch (m_conn_type) {
case ConnectionType::INBOUND:
@@ -543,13 +539,6 @@ public:
// Peer selected us as (compact blocks) high-bandwidth peer (BIP152)
std::atomic<bool> m_bip152_highbandwidth_from{false};
- // flood relay
- std::vector<CAddress> vAddrToSend;
- std::unique_ptr<CRollingBloomFilter> m_addr_known{nullptr};
- bool fGetAddr{false};
- std::chrono::microseconds m_next_addr_send GUARDED_BY(cs_sendProcessing){0};
- std::chrono::microseconds m_next_local_addr_send GUARDED_BY(cs_sendProcessing){0};
-
struct TxRelay {
mutable RecursiveMutex cs_filter;
// We use fRelayTxes for two purposes -
@@ -584,13 +573,13 @@ public:
* preliminary validity checks and was saved to disk, even if we don't
* connect the block or it eventually fails connection. Used as an inbound
* peer eviction criterium in CConnman::AttemptToEvictConnection. */
- std::atomic<int64_t> nLastBlockTime{0};
+ std::atomic<std::chrono::seconds> m_last_block_time{0s};
/** UNIX epoch time of the last transaction received from this peer that we
* had not yet seen (e.g. not already received from another peer) and that
* was accepted into our mempool. Used as an inbound peer eviction criterium
* in CConnman::AttemptToEvictConnection. */
- std::atomic<int64_t> nLastTXTime{0};
+ std::atomic<std::chrono::seconds> m_last_tx_time{0s};
/** Last measured round-trip time. Used only for RPC/GUI stats/debugging.*/
std::atomic<std::chrono::microseconds> m_last_ping_time{0us};
@@ -599,8 +588,7 @@ public:
* criterium in CConnman::AttemptToEvictConnection. */
std::atomic<std::chrono::microseconds> m_min_ping_time{std::chrono::microseconds::max()};
- CNode(NodeId id, ServiceFlags nLocalServicesIn, SOCKET hSocketIn, const CAddress& addrIn, uint64_t nKeyedNetGroupIn, uint64_t nLocalHostNonceIn, const CAddress& addrBindIn, const std::string& addrNameIn, ConnectionType conn_type_in, bool inbound_onion);
- ~CNode();
+ CNode(NodeId id, ServiceFlags nLocalServicesIn, std::shared_ptr<Sock> sock, const CAddress& addrIn, uint64_t nKeyedNetGroupIn, uint64_t nLocalHostNonceIn, const CAddress& addrBindIn, const std::string& addrNameIn, ConnectionType conn_type_in, bool inbound_onion);
CNode(const CNode&) = delete;
CNode& operator=(const CNode&) = delete;
@@ -639,9 +627,9 @@ public:
return m_greatest_common_version;
}
- CService GetAddrLocal() const;
+ CService GetAddrLocal() const LOCKS_EXCLUDED(m_addr_local_mutex);
//! May not be called more than once
- void SetAddrLocal(const CService& addrLocalIn);
+ void SetAddrLocal(const CService& addrLocalIn) LOCKS_EXCLUDED(m_addr_local_mutex);
CNode* AddRef()
{
@@ -654,37 +642,6 @@ public:
nRefCount--;
}
- void AddAddressKnown(const CAddress& _addr)
- {
- assert(m_addr_known);
- m_addr_known->insert(_addr.GetKey());
- }
-
- /**
- * Whether the peer supports the address. For example, a peer that does not
- * implement BIP155 cannot receive Tor v3 addresses because it requires
- * ADDRv2 (BIP155) encoding.
- */
- bool IsAddrCompatible(const CAddress& addr) const
- {
- return m_wants_addrv2 || addr.IsAddrV1Compatible();
- }
-
- void PushAddress(const CAddress& _addr, FastRandomContext &insecure_rand)
- {
- // Known checking here is only to save space from duplicates.
- // SendMessages will filter it again for knowns that were added
- // after addresses were pushed.
- assert(m_addr_known);
- if (_addr.IsValid() && !m_addr_known->contains(_addr.GetKey()) && IsAddrCompatible(_addr)) {
- if (vAddrToSend.size() >= MAX_ADDR_TO_SEND) {
- vAddrToSend[insecure_rand.randrange(vAddrToSend.size())] = _addr;
- } else {
- vAddrToSend.push_back(_addr);
- }
- }
- }
-
void AddKnownTx(const uint256& hash)
{
if (m_tx_relay != nullptr) {
@@ -704,17 +661,13 @@ public:
void CloseSocketDisconnect();
- void copyStats(CNodeStats &stats, const std::vector<bool> &m_asmap);
+ void CopyStats(CNodeStats& stats);
ServiceFlags GetLocalServices() const
{
return nLocalServices;
}
- std::string GetAddrName() const;
- //! Sets the addrName only if it was not previously set
- void MaybeSetAddrName(const std::string& addrNameIn);
-
std::string ConnectionTypeAsString() const { return ::ConnectionTypeAsString(m_conn_type); }
/** A ping-pong round trip has completed successfully. Update latest and minimum ping times. */
@@ -746,14 +699,11 @@ private:
//! service advertisements.
const ServiceFlags nLocalServices;
- std::list<CNetMessage> vRecvMsg; // Used only by SocketHandler thread
-
- mutable RecursiveMutex cs_addrName;
- std::string addrName GUARDED_BY(cs_addrName);
+ std::list<CNetMessage> vRecvMsg; // Used only by SocketHandler thread
// Our address, as reported by the peer
- CService addrLocal GUARDED_BY(cs_addrLocal);
- mutable RecursiveMutex cs_addrLocal;
+ CService addrLocal GUARDED_BY(m_addr_local_mutex);
+ mutable Mutex m_addr_local_mutex;
mapMsgCmdSize mapSendBytesPerMsgCmd GUARDED_BY(cs_vSend);
mapMsgCmdSize mapRecvBytesPerMsgCmd GUARDED_BY(cs_vRecv);
@@ -769,7 +719,7 @@ public:
virtual void InitializeNode(CNode* pnode) = 0;
/** Handle removal of a peer (clear state) */
- virtual void FinalizeNode(const CNode& node, bool& update_connection_time) = 0;
+ virtual void FinalizeNode(const CNode& node) = 0;
/**
* Process protocol messages received from a given node
@@ -801,13 +751,6 @@ class CConnman
{
public:
- enum NumConnections {
- CONNECTIONS_NONE = 0,
- CONNECTIONS_IN = (1U << 0),
- CONNECTIONS_OUT = (1U << 1),
- CONNECTIONS_ALL = (CONNECTIONS_IN | CONNECTIONS_OUT),
- };
-
struct Options
{
ServiceFlags nLocalServices = NODE_NONE;
@@ -828,10 +771,12 @@ public:
std::vector<NetWhitebindPermissions> vWhiteBinds;
std::vector<CService> vBinds;
std::vector<CService> onion_binds;
+ /// True if the user did not specify -bind= or -whitebind= and thus
+ /// we should bind on `0.0.0.0` (IPv4) and `::` (IPv6).
+ bool bind_on_any;
bool m_use_addrman_outgoing = true;
std::vector<std::string> m_specified_outgoing;
std::vector<std::string> m_added_nodes;
- std::vector<bool> m_asmap;
bool m_i2p_accept_incoming;
};
@@ -844,25 +789,25 @@ public:
nMaxAddnode = connOptions.nMaxAddnode;
nMaxFeeler = connOptions.nMaxFeeler;
m_max_outbound = m_max_outbound_full_relay + m_max_outbound_block_relay + nMaxFeeler;
- clientInterface = connOptions.uiInterface;
+ m_client_interface = connOptions.uiInterface;
m_banman = connOptions.m_banman;
m_msgproc = connOptions.m_msgproc;
nSendBufferMaxSize = connOptions.nSendBufferMaxSize;
nReceiveFloodSize = connOptions.nReceiveFloodSize;
- m_peer_connect_timeout = connOptions.m_peer_connect_timeout;
+ m_peer_connect_timeout = std::chrono::seconds{connOptions.m_peer_connect_timeout};
{
LOCK(cs_totalBytesSent);
nMaxOutboundLimit = connOptions.nMaxOutboundLimit;
}
vWhitelistedRange = connOptions.vWhitelistedRange;
{
- LOCK(cs_vAddedNodes);
- vAddedNodes = connOptions.m_added_nodes;
+ LOCK(m_added_nodes_mutex);
+ m_added_nodes = connOptions.m_added_nodes;
}
m_onion_binds = connOptions.onion_binds;
}
- CConnman(uint64_t seed0, uint64_t seed1, bool network_active = true);
+ CConnman(uint64_t seed0, uint64_t seed1, AddrMan& addrman, bool network_active = true);
~CConnman();
bool Start(CScheduler& scheduler, const Options& options);
@@ -888,8 +833,8 @@ public:
using NodeFn = std::function<void(CNode*)>;
void ForEachNode(const NodeFn& func)
{
- LOCK(cs_vNodes);
- for (auto&& node : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (auto&& node : m_nodes) {
if (NodeFullyConnected(node))
func(node);
}
@@ -897,40 +842,22 @@ public:
void ForEachNode(const NodeFn& func) const
{
- LOCK(cs_vNodes);
- for (auto&& node : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (auto&& node : m_nodes) {
if (NodeFullyConnected(node))
func(node);
}
};
- template<typename Callable, typename CallableAfter>
- void ForEachNodeThen(Callable&& pre, CallableAfter&& post)
- {
- LOCK(cs_vNodes);
- for (auto&& node : vNodes) {
- if (NodeFullyConnected(node))
- pre(node);
- }
- post();
- };
-
- template<typename Callable, typename CallableAfter>
- void ForEachNodeThen(Callable&& pre, CallableAfter&& post) const
- {
- LOCK(cs_vNodes);
- for (auto&& node : vNodes) {
- if (NodeFullyConnected(node))
- pre(node);
- }
- post();
- };
-
// Addrman functions
- void SetServices(const CService &addr, ServiceFlags nServices);
- void MarkAddressGood(const CAddress& addr);
- bool AddNewAddresses(const std::vector<CAddress>& vAddr, const CAddress& addrFrom, int64_t nTimePenalty = 0);
- std::vector<CAddress> GetAddresses(size_t max_addresses, size_t max_pct);
+ /**
+ * Return all or many randomly selected addresses, optionally by network.
+ *
+ * @param[in] max_addresses Maximum number of addresses to return (0 = all).
+ * @param[in] max_pct Maximum percentage of addresses to return (0 = all).
+ * @param[in] network Select only addresses of this network (nullopt = all).
+ */
+ std::vector<CAddress> GetAddresses(size_t max_addresses, size_t max_pct, std::optional<Network> network) const;
/**
* Cache is used to minimize topology leaks, so it should
* be used for all non-trusted calls, for example, p2p.
@@ -942,7 +869,7 @@ public:
// This allows temporarily exceeding m_max_outbound_full_relay, with the goal of finding
// a peer that is better than all our current peers.
void SetTryNewOutboundPeer(bool flag);
- bool GetTryNewOutboundPeer();
+ bool GetTryNewOutboundPeer() const;
void StartExtraBlockRelayPeers() {
LogPrint(BCLog::NET, "net: enabling extra block-relay-only peers\n");
@@ -955,19 +882,20 @@ public:
// return a value less than (num_outbound_connections - num_outbound_slots)
// in cases where some outbound connections are not yet fully connected, or
// not yet fully disconnected.
- int GetExtraFullOutboundCount();
+ int GetExtraFullOutboundCount() const;
// Count the number of block-relay-only peers we have over our limit.
- int GetExtraBlockRelayCount();
+ int GetExtraBlockRelayCount() const;
bool AddNode(const std::string& node);
bool RemoveAddedNode(const std::string& node);
- std::vector<AddedNodeInfo> GetAddedNodeInfo();
+ std::vector<AddedNodeInfo> GetAddedNodeInfo() const;
/**
* Attempts to open a connection. Currently only used from tests.
*
* @param[in] address Address of node to try connecting to
- * @param[in] conn_type ConnectionType::OUTBOUND or ConnectionType::BLOCK_RELAY
+ * @param[in] conn_type ConnectionType::OUTBOUND, ConnectionType::BLOCK_RELAY,
+ * ConnectionType::ADDR_FETCH or ConnectionType::FEELER
* @return bool Returns false if there are no available
* slots for this connection:
* - conn_type not a supported ConnectionType
@@ -976,8 +904,8 @@ public:
*/
bool AddConnection(const std::string& address, ConnectionType conn_type);
- size_t GetNodeCount(NumConnections num);
- void GetNodeStats(std::vector<CNodeStats>& vstats);
+ size_t GetNodeCount(ConnectionDirection) const;
+ void GetNodeStats(std::vector<CNodeStats>& vstats) const;
bool DisconnectNode(const std::string& node);
bool DisconnectNode(const CSubNet& subnet);
bool DisconnectNode(const CNetAddr& addr);
@@ -991,24 +919,24 @@ public:
//! that peer during `net_processing.cpp:PushNodeVersion()`.
ServiceFlags GetLocalServices() const;
- uint64_t GetMaxOutboundTarget();
- std::chrono::seconds GetMaxOutboundTimeframe();
+ uint64_t GetMaxOutboundTarget() const;
+ std::chrono::seconds GetMaxOutboundTimeframe() const;
//! check if the outbound target is reached
//! if param historicalBlockServingLimit is set true, the function will
//! response true if the limit for serving historical blocks has been reached
- bool OutboundTargetReached(bool historicalBlockServingLimit);
+ bool OutboundTargetReached(bool historicalBlockServingLimit) const;
//! response the bytes left in the current max outbound cycle
//! in case of no limit, it will always response 0
- uint64_t GetOutboundTargetBytesLeft();
+ uint64_t GetOutboundTargetBytesLeft() const;
//! returns the time left in the current max outbound cycle
//! in case of no limit, it will always return 0
- std::chrono::seconds GetMaxOutboundTimeLeftInCycle();
+ std::chrono::seconds GetMaxOutboundTimeLeftInCycle() const;
- uint64_t GetTotalBytesRecv();
- uint64_t GetTotalBytesSent();
+ uint64_t GetTotalBytesRecv() const;
+ uint64_t GetTotalBytesSent() const;
/** Get a unique deterministic randomizer. */
CSipHasher GetDeterministicRandomizer(uint64_t id) const;
@@ -1017,33 +945,26 @@ public:
void WakeMessageHandler();
- /** Attempts to obfuscate tx time through exponentially distributed emitting.
- Works assuming that a single interval is used.
- Variable intervals will result in privacy decrease.
- */
- std::chrono::microseconds PoissonNextSendInbound(std::chrono::microseconds now, std::chrono::seconds average_interval);
-
- void SetAsmap(std::vector<bool> asmap) { addrman.m_asmap = std::move(asmap); }
-
- /** Return true if the peer has been connected for long enough to do inactivity checks. */
- bool RunInactivityChecks(const CNode& node) const;
+ /** Return true if we should disconnect the peer for failing an inactivity check. */
+ bool ShouldRunInactivityChecks(const CNode& node, std::chrono::seconds now) const;
private:
struct ListenSocket {
public:
- SOCKET socket;
+ std::shared_ptr<Sock> sock;
inline void AddSocketPermissionFlags(NetPermissionFlags& flags) const { NetPermissions::AddFlag(flags, m_permissions); }
- ListenSocket(SOCKET socket_, NetPermissionFlags permissions_) : socket(socket_), m_permissions(permissions_) {}
+ ListenSocket(std::shared_ptr<Sock> sock_, NetPermissionFlags permissions_)
+ : sock{sock_}, m_permissions{permissions_}
+ {
+ }
+
private:
NetPermissionFlags m_permissions;
};
bool BindListenPort(const CService& bindAddr, bilingual_str& strError, NetPermissionFlags permissions);
bool Bind(const CService& addr, unsigned int flags, NetPermissionFlags permissions);
- bool InitBinds(
- const std::vector<CService>& binds,
- const std::vector<NetWhitebindPermissions>& whiteBinds,
- const std::vector<CService>& onion_binds);
+ bool InitBinds(const Options& options);
void ThreadOpenAddedConnections();
void AddAddrFetch(const std::string& strDest);
@@ -1055,13 +976,13 @@ private:
/**
* Create a `CNode` object from a socket that has just been accepted and add the node to
- * the `vNodes` member.
- * @param[in] hSocket Connected socket to communicate with the peer.
+ * the `m_nodes` member.
+ * @param[in] sock Connected socket to communicate with the peer.
* @param[in] permissionFlags The peer's permissions.
* @param[in] addr_bind The address and port at our side of the connection.
* @param[in] addr The address and port at the peer's side of the connection.
*/
- void CreateNodeFromAcceptedSocket(SOCKET hSocket,
+ void CreateNodeFromAcceptedSocket(std::unique_ptr<Sock>&& sock,
NetPermissionFlags permissionFlags,
const CAddress& addr_bind,
const CAddress& addr);
@@ -1070,9 +991,57 @@ private:
void NotifyNumConnectionsChanged();
/** Return true if the peer is inactive and should be disconnected. */
bool InactivityCheck(const CNode& node) const;
- bool GenerateSelectSet(std::set<SOCKET> &recv_set, std::set<SOCKET> &send_set, std::set<SOCKET> &error_set);
- void SocketEvents(std::set<SOCKET> &recv_set, std::set<SOCKET> &send_set, std::set<SOCKET> &error_set);
+
+ /**
+ * Generate a collection of sockets to check for IO readiness.
+ * @param[in] nodes Select from these nodes' sockets.
+ * @param[out] recv_set Sockets to check for read readiness.
+ * @param[out] send_set Sockets to check for write readiness.
+ * @param[out] error_set Sockets to check for errors.
+ * @return true if at least one socket is to be checked (the returned set is not empty)
+ */
+ bool GenerateSelectSet(const std::vector<CNode*>& nodes,
+ std::set<SOCKET>& recv_set,
+ std::set<SOCKET>& send_set,
+ std::set<SOCKET>& error_set);
+
+ /**
+ * Check which sockets are ready for IO.
+ * @param[in] nodes Select from these nodes' sockets.
+ * @param[out] recv_set Sockets which are ready for read.
+ * @param[out] send_set Sockets which are ready for write.
+ * @param[out] error_set Sockets which have errors.
+ * This calls `GenerateSelectSet()` to gather a list of sockets to check.
+ */
+ void SocketEvents(const std::vector<CNode*>& nodes,
+ std::set<SOCKET>& recv_set,
+ std::set<SOCKET>& send_set,
+ std::set<SOCKET>& error_set);
+
+ /**
+ * Check connected and listening sockets for IO readiness and process them accordingly.
+ */
void SocketHandler();
+
+ /**
+ * Do the read/write for connected sockets that are ready for IO.
+ * @param[in] nodes Nodes to process. The socket of each node is checked against
+ * `recv_set`, `send_set` and `error_set`.
+ * @param[in] recv_set Sockets that are ready for read.
+ * @param[in] send_set Sockets that are ready for send.
+ * @param[in] error_set Sockets that have an exceptional condition (error).
+ */
+ void SocketHandlerConnected(const std::vector<CNode*>& nodes,
+ const std::set<SOCKET>& recv_set,
+ const std::set<SOCKET>& send_set,
+ const std::set<SOCKET>& error_set);
+
+ /**
+ * Accept incoming connections, one from each read-ready listening socket.
+ * @param[in] recv_set Sockets that are ready for read.
+ */
+ void SocketHandlerListening(const std::set<SOCKET>& recv_set);
+
void ThreadSocketHandler();
void ThreadDNSAddressSeed();
@@ -1113,9 +1082,8 @@ private:
static bool NodeFullyConnected(const CNode* pnode);
// Network usage totals
- RecursiveMutex cs_totalBytesRecv;
- RecursiveMutex cs_totalBytesSent;
- uint64_t nTotalBytesRecv GUARDED_BY(cs_totalBytesRecv) {0};
+ mutable RecursiveMutex cs_totalBytesSent;
+ std::atomic<uint64_t> nTotalBytesRecv{0};
uint64_t nTotalBytesSent GUARDED_BY(cs_totalBytesSent) {0};
// outbound limit & stats
@@ -1124,7 +1092,7 @@ private:
uint64_t nMaxOutboundLimit GUARDED_BY(cs_totalBytesSent);
// P2P timeout in seconds
- int64_t m_peer_connect_timeout;
+ std::chrono::seconds m_peer_connect_timeout;
// Whitelisted ranges. Any node connecting from these is automatically
// whitelisted (as well as those connecting to whitelisted binds).
@@ -1136,14 +1104,14 @@ private:
std::vector<ListenSocket> vhListenSocket;
std::atomic<bool> fNetworkActive{true};
bool fAddressesInitialized{false};
- CAddrMan addrman;
+ AddrMan& addrman;
std::deque<std::string> m_addr_fetches GUARDED_BY(m_addr_fetches_mutex);
- RecursiveMutex m_addr_fetches_mutex;
- std::vector<std::string> vAddedNodes GUARDED_BY(cs_vAddedNodes);
- RecursiveMutex cs_vAddedNodes;
- std::vector<CNode*> vNodes GUARDED_BY(cs_vNodes);
- std::list<CNode*> vNodesDisconnected;
- mutable RecursiveMutex cs_vNodes;
+ Mutex m_addr_fetches_mutex;
+ std::vector<std::string> m_added_nodes GUARDED_BY(m_added_nodes_mutex);
+ mutable Mutex m_added_nodes_mutex;
+ std::vector<CNode*> m_nodes GUARDED_BY(m_nodes_mutex);
+ std::list<CNode*> m_nodes_disconnected;
+ mutable RecursiveMutex m_nodes_mutex;
std::atomic<NodeId> nLastNodeId{0};
unsigned int nPrevNodeCount{0};
@@ -1203,7 +1171,7 @@ private:
int nMaxFeeler;
int m_max_outbound;
bool m_use_addrman_outgoing;
- CClientUIInterface* clientInterface;
+ CClientUIInterface* m_client_interface;
NetEventsInterface* m_msgproc;
/** Pointer to this node's banman. May be nullptr - check existence before dereferencing. */
BanMan* m_banman;
@@ -1256,39 +1224,102 @@ private:
*/
std::atomic_bool m_start_extra_block_relay_peers{false};
- std::atomic<std::chrono::microseconds> m_next_send_inv_to_incoming{0us};
-
/**
* A vector of -bind=<address>:<port>=onion arguments each of which is
* an address and port that are designated for incoming Tor connections.
*/
std::vector<CService> m_onion_binds;
+ /**
+ * RAII helper to atomically create a copy of `m_nodes` and add a reference
+ * to each of the nodes. The nodes are released when this object is destroyed.
+ */
+ class NodesSnapshot
+ {
+ public:
+ explicit NodesSnapshot(const CConnman& connman, bool shuffle)
+ {
+ {
+ LOCK(connman.m_nodes_mutex);
+ m_nodes_copy = connman.m_nodes;
+ for (auto& node : m_nodes_copy) {
+ node->AddRef();
+ }
+ }
+ if (shuffle) {
+ Shuffle(m_nodes_copy.begin(), m_nodes_copy.end(), FastRandomContext{});
+ }
+ }
+
+ ~NodesSnapshot()
+ {
+ for (auto& node : m_nodes_copy) {
+ node->Release();
+ }
+ }
+
+ const std::vector<CNode*>& Nodes() const
+ {
+ return m_nodes_copy;
+ }
+
+ private:
+ std::vector<CNode*> m_nodes_copy;
+ };
+
friend struct CConnmanTest;
friend struct ConnmanTestMsg;
};
-/** Return a timestamp in the future (in microseconds) for exponentially distributed events. */
-std::chrono::microseconds PoissonNextSend(std::chrono::microseconds now, std::chrono::seconds average_interval);
-
/** Dump binary message to file, with timestamp */
void CaptureMessage(const CAddress& addr, const std::string& msg_type, const Span<const unsigned char>& data, bool is_incoming);
struct NodeEvictionCandidate
{
NodeId id;
- int64_t nTimeConnected;
+ std::chrono::seconds m_connected;
std::chrono::microseconds m_min_ping_time;
- int64_t nLastBlockTime;
- int64_t nLastTXTime;
+ std::chrono::seconds m_last_block_time;
+ std::chrono::seconds m_last_tx_time;
bool fRelevantServices;
bool fRelayTxes;
bool fBloomFilter;
uint64_t nKeyedNetGroup;
bool prefer_evict;
bool m_is_local;
+ Network m_network;
};
-[[nodiscard]] Optional<NodeId> SelectNodeToEvict(std::vector<NodeEvictionCandidate>&& vEvictionCandidates);
+/**
+ * Select an inbound peer to evict after filtering out (protecting) peers having
+ * distinct, difficult-to-forge characteristics. The protection logic picks out
+ * fixed numbers of desirable peers per various criteria, followed by (mostly)
+ * ratios of desirable or disadvantaged peers. If any eviction candidates
+ * remain, the selection logic chooses a peer to evict.
+ */
+[[nodiscard]] std::optional<NodeId> SelectNodeToEvict(std::vector<NodeEvictionCandidate>&& vEvictionCandidates);
+
+/** Protect desirable or disadvantaged inbound peers from eviction by ratio.
+ *
+ * This function protects half of the peers which have been connected the
+ * longest, to replicate the non-eviction implicit behavior and preclude attacks
+ * that start later.
+ *
+ * Half of these protected spots (1/4 of the total) are reserved for the
+ * following categories of peers, sorted by longest uptime, even if they're not
+ * longest uptime overall:
+ *
+ * - onion peers connected via our tor control service
+ *
+ * - localhost peers, as manually configured hidden services not using
+ * `-bind=addr[:port]=onion` will not be detected as inbound onion connections
+ *
+ * - I2P peers
+ *
+ * This helps protect these privacy network peers, which tend to be otherwise
+ * disadvantaged under our eviction criteria for their higher min ping times
+ * relative to IPv4/IPv6 peers, and favorise the diversity of peer connections.
+ */
+void ProtectEvictionCandidatesByRatio(std::vector<NodeEvictionCandidate>& vEvictionCandidates);
#endif // BITCOIN_NET_H
diff --git a/src/net_permissions.cpp b/src/net_permissions.cpp
index 1fdcd97593..f829e56aa2 100644
--- a/src/net_permissions.cpp
+++ b/src/net_permissions.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -20,15 +20,15 @@ const std::vector<std::string> NET_PERMISSIONS_DOC{
namespace {
-// The parse the following format "perm1,perm2@xxxxxx"
-bool TryParsePermissionFlags(const std::string str, NetPermissionFlags& output, size_t& readen, bilingual_str& error)
+// Parse the following format: "perm1,perm2@xxxxxx"
+bool TryParsePermissionFlags(const std::string& str, NetPermissionFlags& output, size_t& readen, bilingual_str& error)
{
- NetPermissionFlags flags = PF_NONE;
+ NetPermissionFlags flags = NetPermissionFlags::None;
const auto atSeparator = str.find('@');
// if '@' is not found (ie, "xxxxx"), the caller should apply implicit permissions
if (atSeparator == std::string::npos) {
- NetPermissions::AddFlag(flags, PF_ISIMPLICIT);
+ NetPermissions::AddFlag(flags, NetPermissionFlags::Implicit);
readen = 0;
}
// else (ie, "perm1,perm2@xxxxx"), let's enumerate the permissions by splitting by ',' and calculate the flags
@@ -44,14 +44,14 @@ bool TryParsePermissionFlags(const std::string str, NetPermissionFlags& output,
readen += len; // We read "perm1"
if (commaSeparator != std::string::npos) readen++; // We read ","
- if (permission == "bloomfilter" || permission == "bloom") NetPermissions::AddFlag(flags, PF_BLOOMFILTER);
- else if (permission == "noban") NetPermissions::AddFlag(flags, PF_NOBAN);
- else if (permission == "forcerelay") NetPermissions::AddFlag(flags, PF_FORCERELAY);
- else if (permission == "mempool") NetPermissions::AddFlag(flags, PF_MEMPOOL);
- else if (permission == "download") NetPermissions::AddFlag(flags, PF_DOWNLOAD);
- else if (permission == "all") NetPermissions::AddFlag(flags, PF_ALL);
- else if (permission == "relay") NetPermissions::AddFlag(flags, PF_RELAY);
- else if (permission == "addr") NetPermissions::AddFlag(flags, PF_ADDR);
+ if (permission == "bloomfilter" || permission == "bloom") NetPermissions::AddFlag(flags, NetPermissionFlags::BloomFilter);
+ else if (permission == "noban") NetPermissions::AddFlag(flags, NetPermissionFlags::NoBan);
+ else if (permission == "forcerelay") NetPermissions::AddFlag(flags, NetPermissionFlags::ForceRelay);
+ else if (permission == "mempool") NetPermissions::AddFlag(flags, NetPermissionFlags::Mempool);
+ else if (permission == "download") NetPermissions::AddFlag(flags, NetPermissionFlags::Download);
+ else if (permission == "all") NetPermissions::AddFlag(flags, NetPermissionFlags::All);
+ else if (permission == "relay") NetPermissions::AddFlag(flags, NetPermissionFlags::Relay);
+ else if (permission == "addr") NetPermissions::AddFlag(flags, NetPermissionFlags::Addr);
else if (permission.length() == 0); // Allow empty entries
else {
error = strprintf(_("Invalid P2P permission: '%s'"), permission);
@@ -71,17 +71,17 @@ bool TryParsePermissionFlags(const std::string str, NetPermissionFlags& output,
std::vector<std::string> NetPermissions::ToStrings(NetPermissionFlags flags)
{
std::vector<std::string> strings;
- if (NetPermissions::HasFlag(flags, PF_BLOOMFILTER)) strings.push_back("bloomfilter");
- if (NetPermissions::HasFlag(flags, PF_NOBAN)) strings.push_back("noban");
- if (NetPermissions::HasFlag(flags, PF_FORCERELAY)) strings.push_back("forcerelay");
- if (NetPermissions::HasFlag(flags, PF_RELAY)) strings.push_back("relay");
- if (NetPermissions::HasFlag(flags, PF_MEMPOOL)) strings.push_back("mempool");
- if (NetPermissions::HasFlag(flags, PF_DOWNLOAD)) strings.push_back("download");
- if (NetPermissions::HasFlag(flags, PF_ADDR)) strings.push_back("addr");
+ if (NetPermissions::HasFlag(flags, NetPermissionFlags::BloomFilter)) strings.push_back("bloomfilter");
+ if (NetPermissions::HasFlag(flags, NetPermissionFlags::NoBan)) strings.push_back("noban");
+ if (NetPermissions::HasFlag(flags, NetPermissionFlags::ForceRelay)) strings.push_back("forcerelay");
+ if (NetPermissions::HasFlag(flags, NetPermissionFlags::Relay)) strings.push_back("relay");
+ if (NetPermissions::HasFlag(flags, NetPermissionFlags::Mempool)) strings.push_back("mempool");
+ if (NetPermissions::HasFlag(flags, NetPermissionFlags::Download)) strings.push_back("download");
+ if (NetPermissions::HasFlag(flags, NetPermissionFlags::Addr)) strings.push_back("addr");
return strings;
}
-bool NetWhitebindPermissions::TryParse(const std::string str, NetWhitebindPermissions& output, bilingual_str& error)
+bool NetWhitebindPermissions::TryParse(const std::string& str, NetWhitebindPermissions& output, bilingual_str& error)
{
NetPermissionFlags flags;
size_t offset;
@@ -104,7 +104,7 @@ bool NetWhitebindPermissions::TryParse(const std::string str, NetWhitebindPermis
return true;
}
-bool NetWhitelistPermissions::TryParse(const std::string str, NetWhitelistPermissions& output, bilingual_str& error)
+bool NetWhitelistPermissions::TryParse(const std::string& str, NetWhitelistPermissions& output, bilingual_str& error)
{
NetPermissionFlags flags;
size_t offset;
diff --git a/src/net_permissions.h b/src/net_permissions.h
index bba0ea1695..662464083c 100644
--- a/src/net_permissions.h
+++ b/src/net_permissions.h
@@ -1,10 +1,11 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <netaddress.h>
#include <string>
+#include <type_traits>
#include <vector>
#ifndef BITCOIN_NET_PERMISSIONS_H
@@ -14,60 +15,74 @@ struct bilingual_str;
extern const std::vector<std::string> NET_PERMISSIONS_DOC;
-enum NetPermissionFlags {
- PF_NONE = 0,
+enum class NetPermissionFlags : uint32_t {
+ None = 0,
// Can query bloomfilter even if -peerbloomfilters is false
- PF_BLOOMFILTER = (1U << 1),
+ BloomFilter = (1U << 1),
// Relay and accept transactions from this peer, even if -blocksonly is true
// This peer is also not subject to limits on how many transaction INVs are tracked
- PF_RELAY = (1U << 3),
+ Relay = (1U << 3),
// Always relay transactions from this peer, even if already in mempool
// Keep parameter interaction: forcerelay implies relay
- PF_FORCERELAY = (1U << 2) | PF_RELAY,
+ ForceRelay = (1U << 2) | Relay,
// Allow getheaders during IBD and block-download after maxuploadtarget limit
- PF_DOWNLOAD = (1U << 6),
+ Download = (1U << 6),
// Can't be banned/disconnected/discouraged for misbehavior
- PF_NOBAN = (1U << 4) | PF_DOWNLOAD,
+ NoBan = (1U << 4) | Download,
// Can query the mempool
- PF_MEMPOOL = (1U << 5),
- // Can request addrs without hitting a privacy-preserving cache
- PF_ADDR = (1U << 7),
+ Mempool = (1U << 5),
+ // Can request addrs without hitting a privacy-preserving cache, and send us
+ // unlimited amounts of addrs.
+ Addr = (1U << 7),
// True if the user did not specifically set fine grained permissions
- PF_ISIMPLICIT = (1U << 31),
- PF_ALL = PF_BLOOMFILTER | PF_FORCERELAY | PF_RELAY | PF_NOBAN | PF_MEMPOOL | PF_DOWNLOAD | PF_ADDR,
+ Implicit = (1U << 31),
+ All = BloomFilter | ForceRelay | Relay | NoBan | Mempool | Download | Addr,
};
+static inline constexpr NetPermissionFlags operator|(NetPermissionFlags a, NetPermissionFlags b)
+{
+ using t = typename std::underlying_type<NetPermissionFlags>::type;
+ return static_cast<NetPermissionFlags>(static_cast<t>(a) | static_cast<t>(b));
+}
class NetPermissions
{
public:
NetPermissionFlags m_flags;
static std::vector<std::string> ToStrings(NetPermissionFlags flags);
- static inline bool HasFlag(const NetPermissionFlags& flags, NetPermissionFlags f)
+ static inline bool HasFlag(NetPermissionFlags flags, NetPermissionFlags f)
{
- return (flags & f) == f;
+ using t = typename std::underlying_type<NetPermissionFlags>::type;
+ return (static_cast<t>(flags) & static_cast<t>(f)) == static_cast<t>(f);
}
static inline void AddFlag(NetPermissionFlags& flags, NetPermissionFlags f)
{
- flags = static_cast<NetPermissionFlags>(flags | f);
+ flags = flags | f;
}
+ //! ClearFlag is only called with `f` == NetPermissionFlags::Implicit.
+ //! If that should change in the future, be aware that ClearFlag should not
+ //! be called with a subflag of a multiflag, e.g. NetPermissionFlags::Relay
+ //! or NetPermissionFlags::Download, as that would leave `flags` in an
+ //! invalid state corresponding to none of the existing flags.
static inline void ClearFlag(NetPermissionFlags& flags, NetPermissionFlags f)
{
- flags = static_cast<NetPermissionFlags>(flags & ~f);
+ assert(f == NetPermissionFlags::Implicit);
+ using t = typename std::underlying_type<NetPermissionFlags>::type;
+ flags = static_cast<NetPermissionFlags>(static_cast<t>(flags) & ~static_cast<t>(f));
}
};
class NetWhitebindPermissions : public NetPermissions
{
public:
- static bool TryParse(const std::string str, NetWhitebindPermissions& output, bilingual_str& error);
+ static bool TryParse(const std::string& str, NetWhitebindPermissions& output, bilingual_str& error);
CService m_service;
};
class NetWhitelistPermissions : public NetPermissions
{
public:
- static bool TryParse(const std::string str, NetWhitelistPermissions& output, bilingual_str& error);
+ static bool TryParse(const std::string& str, NetWhitelistPermissions& output, bilingual_str& error);
CSubNet m_subnet;
};
diff --git a/src/net_processing.cpp b/src/net_processing.cpp
index d19e11f7b1..3cebca1a77 100644
--- a/src/net_processing.cpp
+++ b/src/net_processing.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,12 +10,15 @@
#include <blockencodings.h>
#include <blockfilter.h>
#include <chainparams.h>
+#include <consensus/amount.h>
#include <consensus/validation.h>
+#include <deploymentstatus.h>
#include <hash.h>
#include <index/blockfilterindex.h>
#include <merkleblock.h>
#include <netbase.h>
#include <netmessagemaker.h>
+#include <node/blockstorage.h>
#include <policy/fees.h>
#include <policy/policy.h>
#include <primitives/block.h>
@@ -24,6 +27,7 @@
#include <reverse_iterator.h>
#include <scheduler.h>
#include <streams.h>
+#include <sync.h>
#include <tinyformat.h>
#include <txmempool.h>
#include <txorphanage.h>
@@ -31,11 +35,22 @@
#include <util/check.h> // For NDEBUG compile time check
#include <util/strencodings.h>
#include <util/system.h>
+#include <util/trace.h>
#include <validation.h>
+#include <algorithm>
+#include <atomic>
+#include <chrono>
#include <memory>
+#include <optional>
#include <typeinfo>
+using node::ReadBlockFromDisk;
+using node::ReadRawBlockFromDisk;
+using node::fImporting;
+using node::fPruneMode;
+using node::fReindex;
+
/** How long to cache transactions in mapRelay for normal relay */
static constexpr auto RELAY_TX_CACHE_TIME = 15min;
/** How long a transaction has to be in the mempool before it can unconditionally be relayed (even when not in mapRelay). */
@@ -48,14 +63,14 @@ static constexpr auto HEADERS_DOWNLOAD_TIMEOUT_PER_HEADER = 1ms;
* behind headers chain.
*/
static constexpr int32_t MAX_OUTBOUND_PEERS_TO_PROTECT_FROM_DISCONNECT = 4;
-/** Timeout for (unprotected) outbound peers to sync to our chainwork, in seconds */
-static constexpr int64_t CHAIN_SYNC_TIMEOUT = 20 * 60; // 20 minutes
-/** How frequently to check for stale tips, in seconds */
-static constexpr int64_t STALE_CHECK_INTERVAL = 10 * 60; // 10 minutes
-/** How frequently to check for extra outbound peers and disconnect, in seconds */
-static constexpr int64_t EXTRA_PEER_CHECK_INTERVAL = 45;
-/** Minimum time an outbound-peer-eviction candidate must be connected for, in order to evict, in seconds */
-static constexpr int64_t MINIMUM_CONNECT_TIME = 30;
+/** Timeout for (unprotected) outbound peers to sync to our chainwork */
+static constexpr auto CHAIN_SYNC_TIMEOUT{20min};
+/** How frequently to check for stale tips */
+static constexpr auto STALE_CHECK_INTERVAL{10min};
+/** How frequently to check for extra outbound peers and disconnect */
+static constexpr auto EXTRA_PEER_CHECK_INTERVAL{45s};
+/** Minimum time an outbound-peer-eviction candidate must be connected for, in order to evict */
+static constexpr auto MINIMUM_CONNECT_TIME{30s};
/** SHA256("main address relay")[0:8] */
static constexpr uint64_t RANDOMIZER_ID_ADDRESS_RELAY = 0x3cac0035b5866b90ULL;
/// Age after which a stale block will no longer be served if requested as
@@ -65,7 +80,7 @@ static constexpr int STALE_RELAY_AGE_LIMIT = 30 * 24 * 60 * 60;
/// limiting block relay. Set to one week, denominated in seconds.
static constexpr int HISTORICAL_BLOCK_AGE = 7 * 24 * 60 * 60;
/** Time between pings automatically sent out for latency probing and keepalive */
-static constexpr std::chrono::minutes PING_INTERVAL{2};
+static constexpr auto PING_INTERVAL{2min};
/** The maximum number of entries in a locator */
static const unsigned int MAX_LOCATOR_SZ = 101;
/** The maximum number of entries in an 'inv' protocol message */
@@ -79,19 +94,19 @@ static constexpr int32_t MAX_PEER_TX_REQUEST_IN_FLIGHT = 100;
* the actual transaction (from any peer) in response to requests for them. */
static constexpr int32_t MAX_PEER_TX_ANNOUNCEMENTS = 5000;
/** How long to delay requesting transactions via txids, if we have wtxid-relaying peers */
-static constexpr auto TXID_RELAY_DELAY = std::chrono::seconds{2};
+static constexpr auto TXID_RELAY_DELAY{2s};
/** How long to delay requesting transactions from non-preferred peers */
-static constexpr auto NONPREF_PEER_TX_DELAY = std::chrono::seconds{2};
+static constexpr auto NONPREF_PEER_TX_DELAY{2s};
/** How long to delay requesting transactions from overloaded peers (see MAX_PEER_TX_REQUEST_IN_FLIGHT). */
-static constexpr auto OVERLOADED_PEER_TX_DELAY = std::chrono::seconds{2};
-/** How long to wait (in microseconds) before downloading a transaction from an additional peer */
-static constexpr std::chrono::microseconds GETDATA_TX_INTERVAL{std::chrono::seconds{60}};
+static constexpr auto OVERLOADED_PEER_TX_DELAY{2s};
+/** How long to wait before downloading a transaction from an additional peer */
+static constexpr auto GETDATA_TX_INTERVAL{60s};
/** Limit to avoid sending big packets. Not used in processing incoming GETDATA for compatibility */
static const unsigned int MAX_GETDATA_SZ = 1000;
/** Number of blocks that can be requested at any given time from a single peer. */
static const int MAX_BLOCKS_IN_TRANSIT_PER_PEER = 16;
/** Time during which a peer must stall block download progress before being disconnected. */
-static constexpr auto BLOCK_STALLING_TIMEOUT = 2s;
+static constexpr auto BLOCK_STALLING_TIMEOUT{2s};
/** Number of headers sent in one getheaders result. We rely on the assumption that if a peer sends
* less than this number, we reached its tip. Changing this value is a protocol upgrade. */
static const unsigned int MAX_HEADERS_RESULTS = 2000;
@@ -116,16 +131,16 @@ static const int MAX_UNCONNECTING_HEADERS = 10;
/** Minimum blocks required to signal NODE_NETWORK_LIMITED */
static const unsigned int NODE_NETWORK_LIMITED_MIN_BLOCKS = 288;
/** Average delay between local address broadcasts */
-static constexpr auto AVG_LOCAL_ADDRESS_BROADCAST_INTERVAL = 24h;
+static constexpr auto AVG_LOCAL_ADDRESS_BROADCAST_INTERVAL{24h};
/** Average delay between peer address broadcasts */
-static constexpr auto AVG_ADDRESS_BROADCAST_INTERVAL = 30s;
+static constexpr auto AVG_ADDRESS_BROADCAST_INTERVAL{30s};
/** Average delay between trickled inventory transmissions for inbound peers.
- * Blocks and peers with noban permission bypass this. */
-static constexpr auto INBOUND_INVENTORY_BROADCAST_INTERVAL = 5s;
+ * Blocks and peers with NetPermissionFlags::NoBan permission bypass this. */
+static constexpr auto INBOUND_INVENTORY_BROADCAST_INTERVAL{5s};
/** Average delay between trickled inventory transmissions for outbound peers.
* Use a smaller delay as there is less privacy concern for them.
- * Blocks and peers with noban permission bypass this. */
-static constexpr auto OUTBOUND_INVENTORY_BROADCAST_INTERVAL = 2s;
+ * Blocks and peers with NetPermissionFlags::NoBan permission bypass this. */
+static constexpr auto OUTBOUND_INVENTORY_BROADCAST_INTERVAL{2s};
/** Maximum rate of inventory items to send per second.
* Limits the impact of low-fee transaction floods. */
static constexpr unsigned int INVENTORY_BROADCAST_PER_SECOND = 7;
@@ -139,24 +154,33 @@ static constexpr unsigned int INVENTORY_MAX_RECENT_RELAY = 3500;
* peers, and random variations in the broadcast mechanism. */
static_assert(INVENTORY_MAX_RECENT_RELAY >= INVENTORY_BROADCAST_PER_SECOND * UNCONDITIONAL_RELAY_DELAY / std::chrono::seconds{1}, "INVENTORY_RELAY_MAX too low");
/** Average delay between feefilter broadcasts in seconds. */
-static constexpr auto AVG_FEEFILTER_BROADCAST_INTERVAL = 10min;
+static constexpr auto AVG_FEEFILTER_BROADCAST_INTERVAL{10min};
/** Maximum feefilter broadcast delay after significant change. */
-static constexpr auto MAX_FEEFILTER_CHANGE_DELAY = 5min;
+static constexpr auto MAX_FEEFILTER_CHANGE_DELAY{5min};
/** Maximum number of compact filters that may be requested with one getcfilters. See BIP 157. */
static constexpr uint32_t MAX_GETCFILTERS_SIZE = 1000;
/** Maximum number of cf hashes that may be requested with one getcfheaders. See BIP 157. */
static constexpr uint32_t MAX_GETCFHEADERS_SIZE = 2000;
/** the maximum percentage of addresses from our addrman to return in response to a getaddr message. */
static constexpr size_t MAX_PCT_ADDR_TO_SEND = 23;
+/** The maximum number of address records permitted in an ADDR message. */
+static constexpr size_t MAX_ADDR_TO_SEND{1000};
+/** The maximum rate of address records we're willing to process on average. Can be bypassed using
+ * the NetPermissionFlags::Addr permission. */
+static constexpr double MAX_ADDR_RATE_PER_SECOND{0.1};
+/** The soft limit of the address processing token bucket (the regular MAX_ADDR_RATE_PER_SECOND
+ * based increments won't go above this, but the MAX_ADDR_TO_SEND increment following GETADDR
+ * is exempt from this limit). */
+static constexpr size_t MAX_ADDR_PROCESSING_TOKEN_BUCKET{MAX_ADDR_TO_SEND};
// Internal stuff
namespace {
/** Blocks that are in flight, and that are in the queue to be downloaded. */
struct QueuedBlock {
- uint256 hash;
- const CBlockIndex* pindex; //!< Optional.
- bool fValidatedHeaders; //!< Whether this block has validated headers at the time of request.
- std::unique_ptr<PartiallyDownloadedBlock> partialBlock; //!< Optional, used for CMPCTBLOCK downloads
+ /** BlockIndex. We must have this since we only request blocks when we've already validated the header. */
+ const CBlockIndex* pindex;
+ /** Optional, used for CMPCTBLOCK downloads */
+ std::unique_ptr<PartiallyDownloadedBlock> partialBlock;
};
/**
@@ -179,7 +203,7 @@ struct Peer {
Mutex m_misbehavior_mutex;
/** Accumulated misbehavior score for this peer */
int m_misbehavior_score GUARDED_BY(m_misbehavior_mutex){0};
- /** Whether this peer should be disconnected and marked as discouraged (unless it has the noban permission). */
+ /** Whether this peer should be disconnected and marked as discouraged (unless it has NetPermissionFlags::NoBan permission). */
bool m_should_discourage GUARDED_BY(m_misbehavior_mutex){false};
/** Protects block inventory data members */
@@ -208,6 +232,56 @@ struct Peer {
/** Whether a ping has been requested by the user */
std::atomic<bool> m_ping_queued{false};
+ /** A vector of addresses to send to the peer, limited to MAX_ADDR_TO_SEND. */
+ std::vector<CAddress> m_addrs_to_send;
+ /** Probabilistic filter to track recent addr messages relayed with this
+ * peer. Used to avoid relaying redundant addresses to this peer.
+ *
+ * We initialize this filter for outbound peers (other than
+ * block-relay-only connections) or when an inbound peer sends us an
+ * address related message (ADDR, ADDRV2, GETADDR).
+ *
+ * Presence of this filter must correlate with m_addr_relay_enabled.
+ **/
+ std::unique_ptr<CRollingBloomFilter> m_addr_known;
+ /** Whether we are participating in address relay with this connection.
+ *
+ * We set this bool to true for outbound peers (other than
+ * block-relay-only connections), or when an inbound peer sends us an
+ * address related message (ADDR, ADDRV2, GETADDR).
+ *
+ * We use this bool to decide whether a peer is eligible for gossiping
+ * addr messages. This avoids relaying to peers that are unlikely to
+ * forward them, effectively blackholing self announcements. Reasons
+ * peers might support addr relay on the link include that they connected
+ * to us as a block-relay-only peer or they are a light client.
+ *
+ * This field must correlate with whether m_addr_known has been
+ * initialized.*/
+ std::atomic_bool m_addr_relay_enabled{false};
+ /** Whether a getaddr request to this peer is outstanding. */
+ bool m_getaddr_sent{false};
+ /** Guards address sending timers. */
+ mutable Mutex m_addr_send_times_mutex;
+ /** Time point to send the next ADDR message to this peer. */
+ std::chrono::microseconds m_next_addr_send GUARDED_BY(m_addr_send_times_mutex){0};
+ /** Time point to possibly re-announce our local address to this peer. */
+ std::chrono::microseconds m_next_local_addr_send GUARDED_BY(m_addr_send_times_mutex){0};
+ /** Whether the peer has signaled support for receiving ADDRv2 (BIP155)
+ * messages, indicating a preference to receive ADDRv2 instead of ADDR ones. */
+ std::atomic_bool m_wants_addrv2{false};
+ /** Whether this peer has already sent us a getaddr message. */
+ bool m_getaddr_recvd{false};
+ /** Number of addresses that can be processed from this peer. Start at 1 to
+ * permit self-announcement. */
+ double m_addr_token_bucket{1.0};
+ /** When m_addr_token_bucket was last updated */
+ std::chrono::microseconds m_addr_token_timestamp{GetTime<std::chrono::microseconds>()};
+ /** Total number of addresses that were dropped due to rate limiting. */
+ std::atomic<uint64_t> m_addr_rate_limited{0};
+ /** Total number of addresses that were processed (excludes rate-limited ones). */
+ std::atomic<uint64_t> m_addr_processed{0};
+
/** Set of txids to reconsider once their parent transactions have been accepted **/
std::set<uint256> m_orphan_work_set GUARDED_BY(g_cs_orphans);
@@ -216,7 +290,9 @@ struct Peer {
/** Work queue of items requested by this peer **/
std::deque<CInv> m_getdata_requests GUARDED_BY(m_getdata_requests_mutex);
- explicit Peer(NodeId id) : m_id(id) {}
+ explicit Peer(NodeId id)
+ : m_id(id)
+ {}
};
using PeerRef = std::shared_ptr<Peer>;
@@ -224,9 +300,9 @@ using PeerRef = std::shared_ptr<Peer>;
class PeerManagerImpl final : public PeerManager
{
public:
- PeerManagerImpl(const CChainParams& chainparams, CConnman& connman, BanMan* banman,
- CScheduler& scheduler, ChainstateManager& chainman, CTxMemPool& pool,
- bool ignore_incoming_txs);
+ PeerManagerImpl(const CChainParams& chainparams, CConnman& connman, AddrMan& addrman,
+ BanMan* banman, ChainstateManager& chainman,
+ CTxMemPool& pool, bool ignore_incoming_txs);
/** Overridden from CValidationInterface. */
void BlockConnected(const std::shared_ptr<const CBlock>& pblock, const CBlockIndex* pindexConnected) override;
@@ -237,29 +313,35 @@ public:
/** Implement NetEventsInterface */
void InitializeNode(CNode* pnode) override;
- void FinalizeNode(const CNode& node, bool& fUpdateConnectionTime) override;
+ void FinalizeNode(const CNode& node) override;
bool ProcessMessages(CNode* pfrom, std::atomic<bool>& interrupt) override;
bool SendMessages(CNode* pto) override EXCLUSIVE_LOCKS_REQUIRED(pto->cs_sendProcessing);
/** Implement PeerManager */
+ void StartScheduledTasks(CScheduler& scheduler) override;
void CheckForStaleTipAndEvictPeers() override;
- bool GetNodeStateStats(NodeId nodeid, CNodeStateStats& stats) override;
+ std::optional<std::string> FetchBlock(NodeId peer_id, const CBlockIndex& block_index) override;
+ bool GetNodeStateStats(NodeId nodeid, CNodeStateStats& stats) const override;
bool IgnoresIncomingTxs() override { return m_ignore_incoming_txs; }
void SendPings() override;
+ void RelayTransaction(const uint256& txid, const uint256& wtxid) override;
void SetBestHeight(int height) override { m_best_height = height; };
void Misbehaving(const NodeId pnode, const int howmuch, const std::string& message) override;
void ProcessMessage(CNode& pfrom, const std::string& msg_type, CDataStream& vRecv,
const std::chrono::microseconds time_received, const std::atomic<bool>& interruptMsgProc) override;
private:
+ void _RelayTransaction(const uint256& txid, const uint256& wtxid)
+ EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
/** Consider evicting an outbound peer based on the amount of time they've been behind our tip */
- void ConsiderEviction(CNode& pto, int64_t time_in_seconds) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ void ConsiderEviction(CNode& pto, std::chrono::seconds time_in_seconds) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
/** If we have extra outbound peers, try to disconnect the one with the oldest block announcement */
- void EvictExtraOutboundPeers(int64_t time_in_seconds) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ void EvictExtraOutboundPeers(std::chrono::seconds now) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
/** Retrieve unbroadcast transactions from the mempool and reattempt sending to peers */
- void ReattemptInitialBroadcast(CScheduler& scheduler) const;
+ void ReattemptInitialBroadcast(CScheduler& scheduler);
/** Get a shared pointer to the Peer object.
* May return an empty shared_ptr if the Peer object can't be found. */
@@ -312,14 +394,32 @@ private:
EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
/** Send a version message to a peer */
- void PushNodeVersion(CNode& pnode, int64_t nTime);
+ void PushNodeVersion(CNode& pnode);
/** Send a ping message every PING_INTERVAL or if requested via RPC. May
- * mark the peer to be disconnected if a ping has timed out. */
- void MaybeSendPing(CNode& node_to, Peer& peer);
+ * mark the peer to be disconnected if a ping has timed out.
+ * We use mockable time for ping timeouts, so setmocktime may cause pings
+ * to time out. */
+ void MaybeSendPing(CNode& node_to, Peer& peer, std::chrono::microseconds now);
+
+ /** Send `addr` messages on a regular schedule. */
+ void MaybeSendAddr(CNode& node, Peer& peer, std::chrono::microseconds current_time);
+
+ /** Relay (gossip) an address to a few randomly chosen nodes.
+ *
+ * @param[in] originator The id of the peer that sent us the address. We don't want to relay it back.
+ * @param[in] addr Address to relay.
+ * @param[in] fReachable Whether the address' network is reachable. We relay unreachable
+ * addresses less.
+ */
+ void RelayAddress(NodeId originator, const CAddress& addr, bool fReachable);
+
+ /** Send `feefilter` message. */
+ void MaybeSendFeefilter(CNode& node, std::chrono::microseconds current_time) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
const CChainParams& m_chainparams;
CConnman& m_connman;
+ AddrMan& m_addrman;
/** Pointer to this node's banman. May be nullptr - check existence before dereferencing. */
BanMan* const m_banman;
ChainstateManager& m_chainman;
@@ -329,7 +429,8 @@ private:
/** The height of the best chain */
std::atomic<int> m_best_height{-1};
- int64_t m_stale_tip_check_time; //!< Next time to check for stale tip
+ /** Next time to check for stale tip */
+ std::chrono::seconds m_stale_tip_check_time{0s};
/** Whether this node is running in blocks only mode */
const bool m_ignore_incoming_txs;
@@ -349,6 +450,8 @@ private:
*/
std::map<NodeId, PeerRef> m_peer_map GUARDED_BY(m_peer_mutex);
+ std::atomic<std::chrono::microseconds> m_next_inv_to_inbounds{0us};
+
/** Number of nodes with fSyncStarted. */
int nSyncStarted GUARDED_BY(cs_main) = 0;
@@ -369,9 +472,9 @@ private:
bool AlreadyHaveTx(const GenTxid& gtxid) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
/**
- * Filter for transactions that were recently rejected by
- * AcceptToMemoryPool. These are not rerequested until the chain tip
- * changes, at which point the entire filter is reset.
+ * Filter for transactions that were recently rejected by the mempool.
+ * These are not rerequested until the chain tip changes, at which point
+ * the entire filter is reset.
*
* Without this filter we'd be re-requesting txs from each of our peers,
* increasing bandwidth consumption considerably. For instance, with 100
@@ -402,27 +505,50 @@ private:
*
* Memory used: 1.3 MB
*/
- std::unique_ptr<CRollingBloomFilter> recentRejects GUARDED_BY(cs_main);
+ CRollingBloomFilter m_recent_rejects GUARDED_BY(::cs_main){120'000, 0.000'001};
uint256 hashRecentRejectsChainTip GUARDED_BY(cs_main);
/*
* Filter for transactions that have been recently confirmed.
* We use this to avoid requesting transactions that have already been
* confirnmed.
+ *
+ * Blocks don't typically have more than 4000 transactions, so this should
+ * be at least six blocks (~1 hr) worth of transactions that we can store,
+ * inserting both a txid and wtxid for every observed transaction.
+ * If the number of transactions appearing in a block goes up, or if we are
+ * seeing getdata requests more than an hour after initial announcement, we
+ * can increase this number.
+ * The false positive rate of 1/1M should come out to less than 1
+ * transaction per day that would be inadvertently ignored (which is the
+ * same probability that we have in the reject filter).
*/
Mutex m_recent_confirmed_transactions_mutex;
- std::unique_ptr<CRollingBloomFilter> m_recent_confirmed_transactions GUARDED_BY(m_recent_confirmed_transactions_mutex);
+ CRollingBloomFilter m_recent_confirmed_transactions GUARDED_BY(m_recent_confirmed_transactions_mutex){48'000, 0.000'001};
- /* Returns a bool indicating whether we requested this block.
- * Also used if a block was /not/ received and timed out or started with another peer
+ /**
+ * For sending `inv`s to inbound peers, we use a single (exponentially
+ * distributed) timer for all peers. If we used a separate timer for each
+ * peer, a spy node could make multiple inbound connections to us to
+ * accurately determine when we received the transaction (and potentially
+ * determine the transaction's origin). */
+ std::chrono::microseconds NextInvToInbounds(std::chrono::microseconds now,
+ std::chrono::seconds average_interval);
+
+ /** Have we requested this block from a peer */
+ bool IsBlockRequested(const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ /** Remove this block from our tracked requested blocks. Called if:
+ * - the block has been received from a peer
+ * - the request for the block has timed out
*/
- bool MarkBlockAsReceived(const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ void RemoveBlockRequest(const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
/* Mark a block as in flight
* Returns false, still setting pit, if the block was already in flight from the same peer
* pit will only be valid as long as the same cs_main lock is being held
*/
- bool MarkBlockAsInFlight(NodeId nodeid, const uint256& hash, const CBlockIndex* pindex = nullptr, std::list<QueuedBlock>::iterator** pit = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool BlockRequested(NodeId nodeid, const CBlockIndex& block, std::list<QueuedBlock>::iterator** pit = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
bool TipMayBeStale() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
@@ -434,12 +560,15 @@ private:
std::map<uint256, std::pair<NodeId, std::list<QueuedBlock>::iterator> > mapBlocksInFlight GUARDED_BY(cs_main);
/** When our tip was last updated. */
- std::atomic<int64_t> m_last_tip_update{0};
+ std::atomic<std::chrono::seconds> m_last_tip_update{0s};
/** Determine whether or not a peer can request a transaction, and return it (or nullptr if not found or not allowed). */
CTransactionRef FindTxForGetData(const CNode& peer, const GenTxid& gtxid, const std::chrono::seconds mempool_req, const std::chrono::seconds now) LOCKS_EXCLUDED(cs_main);
- void ProcessGetData(CNode& pfrom, Peer& peer, const std::atomic<bool>& interruptMsgProc) EXCLUSIVE_LOCKS_REQUIRED(!cs_main, peer.m_getdata_requests_mutex);
+ void ProcessGetData(CNode& pfrom, Peer& peer, const std::atomic<bool>& interruptMsgProc) EXCLUSIVE_LOCKS_REQUIRED(peer.m_getdata_requests_mutex) LOCKS_EXCLUDED(::cs_main);
+
+ /** Process a new block. Perform any post-processing housekeeping */
+ void ProcessBlock(CNode& node, const std::shared_ptr<const CBlock>& block, bool force_processing);
/** Relay map (txid or wtxid -> CTransactionRef) */
typedef std::map<uint256, CTransactionRef> MapRelay;
@@ -459,7 +588,7 @@ private:
std::list<NodeId> lNodesAnnouncingHeaderAndIDs GUARDED_BY(cs_main);
/** Number of peers from which we're downloading blocks. */
- int nPeersWithValidatedDownloads GUARDED_BY(cs_main) = 0;
+ int m_peers_downloading_from GUARDED_BY(cs_main) = 0;
/** Storage for orphan information */
TxOrphanage m_orphanage;
@@ -472,6 +601,80 @@ private:
std::vector<std::pair<uint256, CTransactionRef>> vExtraTxnForCompact GUARDED_BY(g_cs_orphans);
/** Offset into vExtraTxnForCompact to insert the next tx */
size_t vExtraTxnForCompactIt GUARDED_BY(g_cs_orphans) = 0;
+
+ /** Check whether the last unknown block a peer advertised is not yet known. */
+ void ProcessBlockAvailability(NodeId nodeid) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ /** Update tracking information about which blocks a peer is assumed to have. */
+ void UpdateBlockAvailability(NodeId nodeid, const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool CanDirectFetch() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ /**
+ * To prevent fingerprinting attacks, only send blocks/headers outside of
+ * the active chain if they are no more than a month older (both in time,
+ * and in best equivalent proof of work) than the best header chain we know
+ * about and we fully-validated them at some point.
+ */
+ bool BlockRequestAllowed(const CBlockIndex* pindex) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool AlreadyHaveBlock(const uint256& block_hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ void ProcessGetBlockData(CNode& pfrom, Peer& peer, const CInv& inv);
+
+ /**
+ * Validation logic for compact filters request handling.
+ *
+ * May disconnect from the peer in the case of a bad request.
+ *
+ * @param[in] peer The peer that we received the request from
+ * @param[in] filter_type The filter type the request is for. Must be basic filters.
+ * @param[in] start_height The start height for the request
+ * @param[in] stop_hash The stop_hash for the request
+ * @param[in] max_height_diff The maximum number of items permitted to request, as specified in BIP 157
+ * @param[out] stop_index The CBlockIndex for the stop_hash block, if the request can be serviced.
+ * @param[out] filter_index The filter index, if the request can be serviced.
+ * @return True if the request can be serviced.
+ */
+ bool PrepareBlockFilterRequest(CNode& peer,
+ BlockFilterType filter_type, uint32_t start_height,
+ const uint256& stop_hash, uint32_t max_height_diff,
+ const CBlockIndex*& stop_index,
+ BlockFilterIndex*& filter_index);
+
+ /**
+ * Handle a cfilters request.
+ *
+ * May disconnect from the peer in the case of a bad request.
+ *
+ * @param[in] peer The peer that we received the request from
+ * @param[in] vRecv The raw message received
+ */
+ void ProcessGetCFilters(CNode& peer, CDataStream& vRecv);
+
+ /**
+ * Handle a cfheaders request.
+ *
+ * May disconnect from the peer in the case of a bad request.
+ *
+ * @param[in] peer The peer that we received the request from
+ * @param[in] vRecv The raw message received
+ */
+ void ProcessGetCFHeaders(CNode& peer, CDataStream& vRecv);
+
+ /**
+ * Handle a getcfcheckpt request.
+ *
+ * May disconnect from the peer in the case of a bad request.
+ *
+ * @param[in] peer The peer that we received the request from
+ * @param[in] vRecv The raw message received
+ */
+ void ProcessGetCFCheckPt(CNode& peer, CDataStream& vRecv);
+
+ /** Checks if address relay is permitted with peer. If needed, initializes
+ * the m_addr_known bloom filter and sets m_addr_relay_enabled to true.
+ *
+ * @return True if address relay is enabled with peer
+ * False if address relay is disallowed
+ */
+ bool SetupAddressRelay(const CNode& node, Peer& peer);
};
} // namespace
@@ -488,20 +691,18 @@ namespace {
* and we're no longer holding the node's locks.
*/
struct CNodeState {
- //! The peer's address
- const CService address;
//! The best known block we know this peer has announced.
- const CBlockIndex *pindexBestKnownBlock;
+ const CBlockIndex* pindexBestKnownBlock{nullptr};
//! The hash of the last unknown block this peer has announced.
- uint256 hashLastUnknownBlock;
+ uint256 hashLastUnknownBlock{};
//! The last full block we both have.
- const CBlockIndex *pindexLastCommonBlock;
+ const CBlockIndex* pindexLastCommonBlock{nullptr};
//! The best header we have sent our peer.
- const CBlockIndex *pindexBestHeaderSent;
+ const CBlockIndex* pindexBestHeaderSent{nullptr};
//! Length of current-streak of unconnecting headers announcements
- int nUnconnectingHeaders;
+ int nUnconnectingHeaders{0};
//! Whether we've started headers synchronization with this peer.
- bool fSyncStarted;
+ bool fSyncStarted{false};
//! When to potentially disconnect peer for stalling headers download
std::chrono::microseconds m_headers_sync_timeout{0us};
//! Since when we're stalling block download progress (in microseconds), or 0.
@@ -509,29 +710,28 @@ struct CNodeState {
std::list<QueuedBlock> vBlocksInFlight;
//! When the first entry in vBlocksInFlight started downloading. Don't care when vBlocksInFlight is empty.
std::chrono::microseconds m_downloading_since{0us};
- int nBlocksInFlight;
- int nBlocksInFlightValidHeaders;
+ int nBlocksInFlight{0};
//! Whether we consider this a preferred download peer.
- bool fPreferredDownload;
+ bool fPreferredDownload{false};
//! Whether this peer wants invs or headers (when possible) for block announcements.
- bool fPreferHeaders;
+ bool fPreferHeaders{false};
//! Whether this peer wants invs or cmpctblocks (when possible) for block announcements.
- bool fPreferHeaderAndIDs;
+ bool fPreferHeaderAndIDs{false};
/**
* Whether this peer will send us cmpctblocks if we request them.
* This is not used to gate request logic, as we really only care about fSupportsDesiredCmpctVersion,
* but is used as a flag to "lock in" the version of compact blocks (fWantsCmpctWitness) we send.
*/
- bool fProvidesHeaderAndIDs;
+ bool fProvidesHeaderAndIDs{false};
//! Whether this peer can give us witnesses
- bool fHaveWitness;
+ bool fHaveWitness{false};
//! Whether this peer wants witnesses in cmpctblocks/blocktxns
- bool fWantsCmpctWitness;
+ bool fWantsCmpctWitness{false};
/**
* If we've announced NODE_WITNESS to this peer: whether the peer sends witnesses in cmpctblocks/blocktxns,
* otherwise: whether this peer sends non-witnesses in cmpctblocks/blocktxns.
*/
- bool fSupportsDesiredCmpctVersion;
+ bool fSupportsDesiredCmpctVersion{false};
/** State used to enforce CHAIN_SYNC_TIMEOUT and EXTRA_PEER_CHECK_INTERVAL logic.
*
@@ -541,10 +741,10 @@ struct CNodeState {
* - its connection type is IsBlockOnlyConn() == false
* - it gave us a valid connecting header
* - we haven't reached MAX_OUTBOUND_PEERS_TO_PROTECT_FROM_DISCONNECT yet
- * - it has a better chain than we have
+ * - its chain tip has at least as much work as ours
*
* CHAIN_SYNC_TIMEOUT: if a peer's best known block has less work than our tip,
- * set a timeout CHAIN_SYNC_TIMEOUT seconds in the future:
+ * set a timeout CHAIN_SYNC_TIMEOUT in the future:
* - If at timeout their best known block now has more work than our tip
* when the timeout was set, then either reset the timeout or clear it
* (after comparing against our current tip's work)
@@ -559,22 +759,22 @@ struct CNodeState {
*/
struct ChainSyncTimeoutState {
//! A timeout used for checking whether our peer has sufficiently synced
- int64_t m_timeout;
+ std::chrono::seconds m_timeout{0s};
//! A header with the work we require on our peer's chain
- const CBlockIndex * m_work_header;
+ const CBlockIndex* m_work_header{nullptr};
//! After timeout is reached, set to true after sending getheaders
- bool m_sent_getheaders;
+ bool m_sent_getheaders{false};
//! Whether this peer is protected from disconnection due to a bad/slow chain
- bool m_protect;
+ bool m_protect{false};
};
ChainSyncTimeoutState m_chain_sync;
//! Time of last new block announcement
- int64_t m_last_block_announcement;
+ int64_t m_last_block_announcement{0};
//! Whether this peer is an inbound connection
- bool m_is_inbound;
+ const bool m_is_inbound;
//! A rolling bloom filter of all announced tx CInvs to this peer.
CRollingBloomFilter m_recently_announced_invs = CRollingBloomFilter{INVENTORY_MAX_RECENT_RELAY, 0.000001};
@@ -582,28 +782,7 @@ struct CNodeState {
//! Whether this peer relays txs via wtxid
bool m_wtxid_relay{false};
- CNodeState(CAddress addrIn, bool is_inbound)
- : address(addrIn), m_is_inbound(is_inbound)
- {
- pindexBestKnownBlock = nullptr;
- hashLastUnknownBlock.SetNull();
- pindexLastCommonBlock = nullptr;
- pindexBestHeaderSent = nullptr;
- nUnconnectingHeaders = 0;
- fSyncStarted = false;
- nBlocksInFlight = 0;
- nBlocksInFlightValidHeaders = 0;
- fPreferredDownload = false;
- fPreferHeaders = false;
- fPreferHeaderAndIDs = false;
- fProvidesHeaderAndIDs = false;
- fHaveWitness = false;
- fWantsCmpctWitness = false;
- fSupportsDesiredCmpctVersion = false;
- m_chain_sync = { 0, nullptr, false, false };
- m_last_block_announcement = 0;
- m_recently_announced_invs.reset();
- }
+ CNodeState(bool is_inbound) : m_is_inbound(is_inbound) {}
};
/** Map maintaining per-node state. */
@@ -616,42 +795,95 @@ static CNodeState *State(NodeId pnode) EXCLUSIVE_LOCKS_REQUIRED(cs_main) {
return &it->second;
}
+/**
+ * Whether the peer supports the address. For example, a peer that does not
+ * implement BIP155 cannot receive Tor v3 addresses because it requires
+ * ADDRv2 (BIP155) encoding.
+ */
+static bool IsAddrCompatible(const Peer& peer, const CAddress& addr)
+{
+ return peer.m_wants_addrv2 || addr.IsAddrV1Compatible();
+}
+
+static void AddAddressKnown(Peer& peer, const CAddress& addr)
+{
+ assert(peer.m_addr_known);
+ peer.m_addr_known->insert(addr.GetKey());
+}
+
+static void PushAddress(Peer& peer, const CAddress& addr, FastRandomContext& insecure_rand)
+{
+ // Known checking here is only to save space from duplicates.
+ // Before sending, we'll filter it again for known addresses that were
+ // added after addresses were pushed.
+ assert(peer.m_addr_known);
+ if (addr.IsValid() && !peer.m_addr_known->contains(addr.GetKey()) && IsAddrCompatible(peer, addr)) {
+ if (peer.m_addrs_to_send.size() >= MAX_ADDR_TO_SEND) {
+ peer.m_addrs_to_send[insecure_rand.randrange(peer.m_addrs_to_send.size())] = addr;
+ } else {
+ peer.m_addrs_to_send.push_back(addr);
+ }
+ }
+}
+
static void UpdatePreferredDownload(const CNode& node, CNodeState* state) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
{
nPreferredDownload -= state->fPreferredDownload;
// Whether this node should be marked as a preferred download node.
- state->fPreferredDownload = (!node.IsInboundConn() || node.HasPermission(PF_NOBAN)) && !node.IsAddrFetchConn() && !node.fClient;
+ state->fPreferredDownload = (!node.IsInboundConn() || node.HasPermission(NetPermissionFlags::NoBan)) && !node.IsAddrFetchConn() && !node.fClient;
nPreferredDownload += state->fPreferredDownload;
}
-bool PeerManagerImpl::MarkBlockAsReceived(const uint256& hash)
+std::chrono::microseconds PeerManagerImpl::NextInvToInbounds(std::chrono::microseconds now,
+ std::chrono::seconds average_interval)
{
- std::map<uint256, std::pair<NodeId, std::list<QueuedBlock>::iterator> >::iterator itInFlight = mapBlocksInFlight.find(hash);
- if (itInFlight != mapBlocksInFlight.end()) {
- CNodeState *state = State(itInFlight->second.first);
- assert(state != nullptr);
- state->nBlocksInFlightValidHeaders -= itInFlight->second.second->fValidatedHeaders;
- if (state->nBlocksInFlightValidHeaders == 0 && itInFlight->second.second->fValidatedHeaders) {
- // Last validated block on the queue was received.
- nPeersWithValidatedDownloads--;
- }
- if (state->vBlocksInFlight.begin() == itInFlight->second.second) {
- // First block on the queue was received, update the start download time for the next one
- state->m_downloading_since = std::max(state->m_downloading_since, GetTime<std::chrono::microseconds>());
- }
- state->vBlocksInFlight.erase(itInFlight->second.second);
- state->nBlocksInFlight--;
- state->m_stalling_since = 0us;
- mapBlocksInFlight.erase(itInFlight);
- return true;
+ if (m_next_inv_to_inbounds.load() < now) {
+ // If this function were called from multiple threads simultaneously
+ // it would possible that both update the next send variable, and return a different result to their caller.
+ // This is not possible in practice as only the net processing thread invokes this function.
+ m_next_inv_to_inbounds = GetExponentialRand(now, average_interval);
}
- return false;
+ return m_next_inv_to_inbounds;
+}
+
+bool PeerManagerImpl::IsBlockRequested(const uint256& hash)
+{
+ return mapBlocksInFlight.find(hash) != mapBlocksInFlight.end();
}
-bool PeerManagerImpl::MarkBlockAsInFlight(NodeId nodeid, const uint256& hash, const CBlockIndex* pindex, std::list<QueuedBlock>::iterator** pit)
+void PeerManagerImpl::RemoveBlockRequest(const uint256& hash)
{
+ auto it = mapBlocksInFlight.find(hash);
+ if (it == mapBlocksInFlight.end()) {
+ // Block was not requested
+ return;
+ }
+
+ auto [node_id, list_it] = it->second;
+ CNodeState *state = State(node_id);
+ assert(state != nullptr);
+
+ if (state->vBlocksInFlight.begin() == list_it) {
+ // First block on the queue was received, update the start download time for the next one
+ state->m_downloading_since = std::max(state->m_downloading_since, GetTime<std::chrono::microseconds>());
+ }
+ state->vBlocksInFlight.erase(list_it);
+
+ state->nBlocksInFlight--;
+ if (state->nBlocksInFlight == 0) {
+ // Last validated block on the queue was received.
+ m_peers_downloading_from--;
+ }
+ state->m_stalling_since = 0us;
+ mapBlocksInFlight.erase(it);
+}
+
+bool PeerManagerImpl::BlockRequested(NodeId nodeid, const CBlockIndex& block, std::list<QueuedBlock>::iterator** pit)
+{
+ const uint256& hash{block.GetBlockHash()};
+
CNodeState *state = State(nodeid);
assert(state != nullptr);
@@ -665,79 +897,63 @@ bool PeerManagerImpl::MarkBlockAsInFlight(NodeId nodeid, const uint256& hash, co
}
// Make sure it's not listed somewhere already.
- MarkBlockAsReceived(hash);
+ RemoveBlockRequest(hash);
std::list<QueuedBlock>::iterator it = state->vBlocksInFlight.insert(state->vBlocksInFlight.end(),
- {hash, pindex, pindex != nullptr, std::unique_ptr<PartiallyDownloadedBlock>(pit ? new PartiallyDownloadedBlock(&m_mempool) : nullptr)});
+ {&block, std::unique_ptr<PartiallyDownloadedBlock>(pit ? new PartiallyDownloadedBlock(&m_mempool) : nullptr)});
state->nBlocksInFlight++;
- state->nBlocksInFlightValidHeaders += it->fValidatedHeaders;
if (state->nBlocksInFlight == 1) {
// We're starting a block download (batch) from this peer.
state->m_downloading_since = GetTime<std::chrono::microseconds>();
- }
- if (state->nBlocksInFlightValidHeaders == 1 && pindex != nullptr) {
- nPeersWithValidatedDownloads++;
+ m_peers_downloading_from++;
}
itInFlight = mapBlocksInFlight.insert(std::make_pair(hash, std::make_pair(nodeid, it))).first;
- if (pit)
+ if (pit) {
*pit = &itInFlight->second.second;
- return true;
-}
-
-/** Check whether the last unknown block a peer advertised is not yet known. */
-static void ProcessBlockAvailability(NodeId nodeid) EXCLUSIVE_LOCKS_REQUIRED(cs_main) {
- CNodeState *state = State(nodeid);
- assert(state != nullptr);
-
- if (!state->hashLastUnknownBlock.IsNull()) {
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(state->hashLastUnknownBlock);
- if (pindex && pindex->nChainWork > 0) {
- if (state->pindexBestKnownBlock == nullptr || pindex->nChainWork >= state->pindexBestKnownBlock->nChainWork) {
- state->pindexBestKnownBlock = pindex;
- }
- state->hashLastUnknownBlock.SetNull();
- }
- }
-}
-
-/** Update tracking information about which blocks a peer is assumed to have. */
-static void UpdateBlockAvailability(NodeId nodeid, const uint256 &hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main) {
- CNodeState *state = State(nodeid);
- assert(state != nullptr);
-
- ProcessBlockAvailability(nodeid);
-
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(hash);
- if (pindex && pindex->nChainWork > 0) {
- // An actually better block was announced.
- if (state->pindexBestKnownBlock == nullptr || pindex->nChainWork >= state->pindexBestKnownBlock->nChainWork) {
- state->pindexBestKnownBlock = pindex;
- }
- } else {
- // An unknown block was announced; just assume that the latest one is the best one.
- state->hashLastUnknownBlock = hash;
}
+ return true;
}
void PeerManagerImpl::MaybeSetPeerAsAnnouncingHeaderAndIDs(NodeId nodeid)
{
AssertLockHeld(cs_main);
+
+ // Never request high-bandwidth mode from peers if we're blocks-only. Our
+ // mempool will not contain the transactions necessary to reconstruct the
+ // compact block.
+ if (m_ignore_incoming_txs) return;
+
CNodeState* nodestate = State(nodeid);
if (!nodestate || !nodestate->fSupportsDesiredCmpctVersion) {
// Never ask from peers who can't provide witnesses.
return;
}
if (nodestate->fProvidesHeaderAndIDs) {
+ int num_outbound_hb_peers = 0;
for (std::list<NodeId>::iterator it = lNodesAnnouncingHeaderAndIDs.begin(); it != lNodesAnnouncingHeaderAndIDs.end(); it++) {
if (*it == nodeid) {
lNodesAnnouncingHeaderAndIDs.erase(it);
lNodesAnnouncingHeaderAndIDs.push_back(nodeid);
return;
}
+ CNodeState *state = State(*it);
+ if (state != nullptr && !state->m_is_inbound) ++num_outbound_hb_peers;
+ }
+ if (nodestate->m_is_inbound) {
+ // If we're adding an inbound HB peer, make sure we're not removing
+ // our last outbound HB peer in the process.
+ if (lNodesAnnouncingHeaderAndIDs.size() >= 3 && num_outbound_hb_peers == 1) {
+ CNodeState *remove_node = State(lNodesAnnouncingHeaderAndIDs.front());
+ if (remove_node != nullptr && !remove_node->m_is_inbound) {
+ // Put the HB outbound peer in the second slot, so that it
+ // doesn't get removed.
+ std::swap(lNodesAnnouncingHeaderAndIDs.front(), *std::next(lNodesAnnouncingHeaderAndIDs.begin()));
+ }
+ }
}
m_connman.ForNode(nodeid, [this](CNode* pfrom) EXCLUSIVE_LOCKS_REQUIRED(::cs_main) {
AssertLockHeld(::cs_main);
- uint64_t nCMPCTBLOCKVersion = (pfrom->GetLocalServices() & NODE_WITNESS) ? 2 : 1;
+ uint64_t nCMPCTBLOCKVersion = 2;
if (lNodesAnnouncingHeaderAndIDs.size() >= 3) {
// As per BIP152, we only get 3 of our peers to announce
// blocks using compact encodings.
@@ -762,15 +978,15 @@ bool PeerManagerImpl::TipMayBeStale()
{
AssertLockHeld(cs_main);
const Consensus::Params& consensusParams = m_chainparams.GetConsensus();
- if (m_last_tip_update == 0) {
- m_last_tip_update = GetTime();
+ if (m_last_tip_update.load() == 0s) {
+ m_last_tip_update = GetTime<std::chrono::seconds>();
}
- return m_last_tip_update < GetTime() - consensusParams.nPowTargetSpacing * 3 && mapBlocksInFlight.empty();
+ return m_last_tip_update.load() < GetTime<std::chrono::seconds>() - std::chrono::seconds{consensusParams.nPowTargetSpacing * 3} && mapBlocksInFlight.empty();
}
-static bool CanDirectFetch(const Consensus::Params &consensusParams) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+bool PeerManagerImpl::CanDirectFetch()
{
- return ::ChainActive().Tip()->GetBlockTime() > GetAdjustedTime() - consensusParams.nPowTargetSpacing * 20;
+ return m_chainman.ActiveChain().Tip()->GetBlockTime() > GetAdjustedTime() - m_chainparams.GetConsensus().nPowTargetSpacing * 20;
}
static bool PeerHasHeader(CNodeState *state, const CBlockIndex *pindex) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
@@ -782,6 +998,39 @@ static bool PeerHasHeader(CNodeState *state, const CBlockIndex *pindex) EXCLUSIV
return false;
}
+void PeerManagerImpl::ProcessBlockAvailability(NodeId nodeid) {
+ CNodeState *state = State(nodeid);
+ assert(state != nullptr);
+
+ if (!state->hashLastUnknownBlock.IsNull()) {
+ const CBlockIndex* pindex = m_chainman.m_blockman.LookupBlockIndex(state->hashLastUnknownBlock);
+ if (pindex && pindex->nChainWork > 0) {
+ if (state->pindexBestKnownBlock == nullptr || pindex->nChainWork >= state->pindexBestKnownBlock->nChainWork) {
+ state->pindexBestKnownBlock = pindex;
+ }
+ state->hashLastUnknownBlock.SetNull();
+ }
+ }
+}
+
+void PeerManagerImpl::UpdateBlockAvailability(NodeId nodeid, const uint256 &hash) {
+ CNodeState *state = State(nodeid);
+ assert(state != nullptr);
+
+ ProcessBlockAvailability(nodeid);
+
+ const CBlockIndex* pindex = m_chainman.m_blockman.LookupBlockIndex(hash);
+ if (pindex && pindex->nChainWork > 0) {
+ // An actually better block was announced.
+ if (state->pindexBestKnownBlock == nullptr || pindex->nChainWork >= state->pindexBestKnownBlock->nChainWork) {
+ state->pindexBestKnownBlock = pindex;
+ }
+ } else {
+ // An unknown block was announced; just assume that the latest one is the best one.
+ state->hashLastUnknownBlock = hash;
+ }
+}
+
void PeerManagerImpl::FindNextBlocksToDownload(NodeId nodeid, unsigned int count, std::vector<const CBlockIndex*>& vBlocks, NodeId& nodeStaller)
{
if (count == 0)
@@ -794,7 +1043,7 @@ void PeerManagerImpl::FindNextBlocksToDownload(NodeId nodeid, unsigned int count
// Make sure pindexBestKnownBlock is up to date, we'll need it.
ProcessBlockAvailability(nodeid);
- if (state->pindexBestKnownBlock == nullptr || state->pindexBestKnownBlock->nChainWork < ::ChainActive().Tip()->nChainWork || state->pindexBestKnownBlock->nChainWork < nMinimumChainWork) {
+ if (state->pindexBestKnownBlock == nullptr || state->pindexBestKnownBlock->nChainWork < m_chainman.ActiveChain().Tip()->nChainWork || state->pindexBestKnownBlock->nChainWork < nMinimumChainWork) {
// This peer has nothing interesting.
return;
}
@@ -802,7 +1051,7 @@ void PeerManagerImpl::FindNextBlocksToDownload(NodeId nodeid, unsigned int count
if (state->pindexLastCommonBlock == nullptr) {
// Bootstrap quickly by guessing a parent of our best tip is the forking point.
// Guessing wrong in either direction is not a problem.
- state->pindexLastCommonBlock = ::ChainActive()[std::min(state->pindexBestKnownBlock->nHeight, ::ChainActive().Height())];
+ state->pindexLastCommonBlock = m_chainman.ActiveChain()[std::min(state->pindexBestKnownBlock->nHeight, m_chainman.ActiveChain().Height())];
}
// If the peer reorganized, our previous pindexLastCommonBlock may not be an ancestor
@@ -841,14 +1090,14 @@ void PeerManagerImpl::FindNextBlocksToDownload(NodeId nodeid, unsigned int count
// We consider the chain that this peer is on invalid.
return;
}
- if (!State(nodeid)->fHaveWitness && IsWitnessEnabled(pindex->pprev, consensusParams)) {
+ if (!State(nodeid)->fHaveWitness && DeploymentActiveAt(*pindex, consensusParams, Consensus::DEPLOYMENT_SEGWIT)) {
// We wouldn't download this block or its descendants from this peer.
return;
}
- if (pindex->nStatus & BLOCK_HAVE_DATA || ::ChainActive().Contains(pindex)) {
+ if (pindex->nStatus & BLOCK_HAVE_DATA || m_chainman.ActiveChain().Contains(pindex)) {
if (pindex->HaveTxsDownloaded())
state->pindexLastCommonBlock = pindex;
- } else if (mapBlocksInFlight.count(pindex->GetBlockHash()) == 0) {
+ } else if (!IsBlockRequested(pindex->GetBlockHash())) {
// The block is not already downloaded, and not yet in flight.
if (pindex->nHeight > nWindowEnd) {
// We reached the end of the window.
@@ -872,30 +1121,31 @@ void PeerManagerImpl::FindNextBlocksToDownload(NodeId nodeid, unsigned int count
} // namespace
-void PeerManagerImpl::PushNodeVersion(CNode& pnode, int64_t nTime)
+void PeerManagerImpl::PushNodeVersion(CNode& pnode)
{
// Note that pnode->GetLocalServices() is a reflection of the local
// services we were offering when the CNode object was created for this
// peer.
- ServiceFlags nLocalNodeServices = pnode.GetLocalServices();
+ uint64_t my_services{pnode.GetLocalServices()};
+ const int64_t nTime{count_seconds(GetTime<std::chrono::seconds>())};
uint64_t nonce = pnode.GetLocalNonce();
const int nNodeStartingHeight{m_best_height};
NodeId nodeid = pnode.GetId();
CAddress addr = pnode.addr;
- CAddress addrYou = addr.IsRoutable() && !IsProxy(addr) && addr.IsAddrV1Compatible() ?
- addr :
- CAddress(CService(), addr.nServices);
- CAddress addrMe = CAddress(CService(), nLocalNodeServices);
+ CService addr_you = addr.IsRoutable() && !IsProxy(addr) && addr.IsAddrV1Compatible() ? addr : CService();
+ uint64_t your_services{addr.nServices};
- const bool tx_relay = !m_ignore_incoming_txs && pnode.m_tx_relay != nullptr;
- m_connman.PushMessage(&pnode, CNetMsgMaker(INIT_PROTO_VERSION).Make(NetMsgType::VERSION, PROTOCOL_VERSION, (uint64_t)nLocalNodeServices, nTime, addrYou, addrMe,
+ const bool tx_relay = !m_ignore_incoming_txs && pnode.m_tx_relay != nullptr && !pnode.IsFeelerConn();
+ m_connman.PushMessage(&pnode, CNetMsgMaker(INIT_PROTO_VERSION).Make(NetMsgType::VERSION, PROTOCOL_VERSION, my_services, nTime,
+ your_services, addr_you, // Together the pre-version-31402 serialization of CAddress "addrYou" (without nTime)
+ my_services, CService(), // Together the pre-version-31402 serialization of CAddress "addrMe" (without nTime)
nonce, strSubVersion, nNodeStartingHeight, tx_relay));
if (fLogIPs) {
- LogPrint(BCLog::NET, "send version message: version %d, blocks=%d, us=%s, them=%s, txrelay=%d, peer=%d\n", PROTOCOL_VERSION, nNodeStartingHeight, addrMe.ToString(), addrYou.ToString(), tx_relay, nodeid);
+ LogPrint(BCLog::NET, "send version message: version %d, blocks=%d, them=%s, txrelay=%d, peer=%d\n", PROTOCOL_VERSION, nNodeStartingHeight, addr_you.ToString(), tx_relay, nodeid);
} else {
- LogPrint(BCLog::NET, "send version message: version %d, blocks=%d, us=%s, txrelay=%d, peer=%d\n", PROTOCOL_VERSION, nNodeStartingHeight, addrMe.ToString(), tx_relay, nodeid);
+ LogPrint(BCLog::NET, "send version message: version %d, blocks=%d, txrelay=%d, peer=%d\n", PROTOCOL_VERSION, nNodeStartingHeight, tx_relay, nodeid);
}
}
@@ -903,24 +1153,24 @@ void PeerManagerImpl::AddTxAnnouncement(const CNode& node, const GenTxid& gtxid,
{
AssertLockHeld(::cs_main); // For m_txrequest
NodeId nodeid = node.GetId();
- if (!node.HasPermission(PF_RELAY) && m_txrequest.Count(nodeid) >= MAX_PEER_TX_ANNOUNCEMENTS) {
+ if (!node.HasPermission(NetPermissionFlags::Relay) && m_txrequest.Count(nodeid) >= MAX_PEER_TX_ANNOUNCEMENTS) {
// Too many queued announcements from this peer
return;
}
const CNodeState* state = State(nodeid);
// Decide the TxRequestTracker parameters for this announcement:
- // - "preferred": if fPreferredDownload is set (= outbound, or PF_NOBAN permission)
+ // - "preferred": if fPreferredDownload is set (= outbound, or NetPermissionFlags::NoBan permission)
// - "reqtime": current time plus delays for:
// - NONPREF_PEER_TX_DELAY for announcements from non-preferred connections
// - TXID_RELAY_DELAY for txid announcements while wtxid peers are available
// - OVERLOADED_PEER_TX_DELAY for announcements from peers which have at least
- // MAX_PEER_TX_REQUEST_IN_FLIGHT requests in flight (and don't have PF_RELAY).
- auto delay = std::chrono::microseconds{0};
+ // MAX_PEER_TX_REQUEST_IN_FLIGHT requests in flight (and don't have NetPermissionFlags::Relay).
+ auto delay{0us};
const bool preferred = state->fPreferredDownload;
if (!preferred) delay += NONPREF_PEER_TX_DELAY;
if (!gtxid.IsWtxid() && m_wtxid_relay_peers > 0) delay += TXID_RELAY_DELAY;
- const bool overloaded = !node.HasPermission(PF_RELAY) &&
+ const bool overloaded = !node.HasPermission(NetPermissionFlags::Relay) &&
m_txrequest.CountInFlight(nodeid) >= MAX_PEER_TX_REQUEST_IN_FLIGHT;
if (overloaded) delay += OVERLOADED_PEER_TX_DELAY;
m_txrequest.ReceivedInv(nodeid, gtxid, preferred, current_time + delay);
@@ -937,12 +1187,10 @@ void UpdateLastBlockAnnounceTime(NodeId node, int64_t time_in_seconds)
void PeerManagerImpl::InitializeNode(CNode *pnode)
{
- CAddress addr = pnode->addr;
- std::string addrName = pnode->GetAddrName();
NodeId nodeid = pnode->GetId();
{
LOCK(cs_main);
- mapNodeState.emplace_hint(mapNodeState.end(), std::piecewise_construct, std::forward_as_tuple(nodeid), std::forward_as_tuple(addr, pnode->IsInboundConn()));
+ mapNodeState.emplace_hint(mapNodeState.end(), std::piecewise_construct, std::forward_as_tuple(nodeid), std::forward_as_tuple(pnode->IsInboundConn()));
assert(m_txrequest.Count(nodeid) == 0);
}
{
@@ -951,11 +1199,11 @@ void PeerManagerImpl::InitializeNode(CNode *pnode)
m_peer_map.emplace_hint(m_peer_map.end(), nodeid, std::move(peer));
}
if (!pnode->IsInboundConn()) {
- PushNodeVersion(*pnode, GetTime());
+ PushNodeVersion(*pnode);
}
}
-void PeerManagerImpl::ReattemptInitialBroadcast(CScheduler& scheduler) const
+void PeerManagerImpl::ReattemptInitialBroadcast(CScheduler& scheduler)
{
std::set<uint256> unbroadcast_txids = m_mempool.GetUnbroadcastTxs();
@@ -964,7 +1212,7 @@ void PeerManagerImpl::ReattemptInitialBroadcast(CScheduler& scheduler) const
if (tx != nullptr) {
LOCK(cs_main);
- RelayTransaction(txid, tx->GetWitnessHash(), m_connman);
+ _RelayTransaction(txid, tx->GetWitnessHash());
} else {
m_mempool.RemoveUnbroadcastTx(txid, true);
}
@@ -972,17 +1220,17 @@ void PeerManagerImpl::ReattemptInitialBroadcast(CScheduler& scheduler) const
// Schedule next run for 10-15 minutes in the future.
// We add randomness on every cycle to avoid the possibility of P2P fingerprinting.
- const std::chrono::milliseconds delta = std::chrono::minutes{10} + GetRandMillis(std::chrono::minutes{5});
+ const std::chrono::milliseconds delta = 10min + GetRandMillis(5min);
scheduler.scheduleFromNow([&] { ReattemptInitialBroadcast(scheduler); }, delta);
}
-void PeerManagerImpl::FinalizeNode(const CNode& node, bool& fUpdateConnectionTime)
+void PeerManagerImpl::FinalizeNode(const CNode& node)
{
NodeId nodeid = node.GetId();
- fUpdateConnectionTime = false;
- LOCK(cs_main);
int misbehavior{0};
{
+ LOCK(cs_main);
+ {
// We remove the PeerRef from g_peer_map here, but we don't always
// destruct the Peer. Sometimes another thread is still holding a
// PeerRef, so the refcount is >= 1. Be careful not to do any
@@ -998,20 +1246,14 @@ void PeerManagerImpl::FinalizeNode(const CNode& node, bool& fUpdateConnectionTim
if (state->fSyncStarted)
nSyncStarted--;
- if (node.fSuccessfullyConnected && misbehavior == 0 &&
- !node.IsBlockOnlyConn() && !node.IsInboundConn()) {
- // Only change visible addrman state for outbound, full-relay peers
- fUpdateConnectionTime = true;
- }
-
for (const QueuedBlock& entry : state->vBlocksInFlight) {
- mapBlocksInFlight.erase(entry.hash);
+ mapBlocksInFlight.erase(entry.pindex->GetBlockHash());
}
WITH_LOCK(g_cs_orphans, m_orphanage.EraseForPeer(nodeid));
m_txrequest.DisconnectedPeer(nodeid);
nPreferredDownload -= state->fPreferredDownload;
- nPeersWithValidatedDownloads -= (state->nBlocksInFlightValidHeaders != 0);
- assert(nPeersWithValidatedDownloads >= 0);
+ m_peers_downloading_from -= (state->nBlocksInFlight != 0);
+ assert(m_peers_downloading_from >= 0);
m_outbound_peers_with_protect_from_disconnect -= state->m_chain_sync.m_protect;
assert(m_outbound_peers_with_protect_from_disconnect >= 0);
m_wtxid_relay_peers -= state->m_wtxid_relay;
@@ -1023,10 +1265,19 @@ void PeerManagerImpl::FinalizeNode(const CNode& node, bool& fUpdateConnectionTim
// Do a consistency check after the last peer is removed.
assert(mapBlocksInFlight.empty());
assert(nPreferredDownload == 0);
- assert(nPeersWithValidatedDownloads == 0);
+ assert(m_peers_downloading_from == 0);
assert(m_outbound_peers_with_protect_from_disconnect == 0);
assert(m_wtxid_relay_peers == 0);
assert(m_txrequest.Size() == 0);
+ assert(m_orphanage.Size() == 0);
+ }
+ } // cs_main
+ if (node.fSuccessfullyConnected && misbehavior == 0 &&
+ !node.IsBlockOnlyConn() && !node.IsInboundConn()) {
+ // Only change visible addrman state for full outbound peers. We don't
+ // call Connected() for feeler connections since they don't have
+ // fSuccessfullyConnected set.
+ m_addrman.Connected(node.addr);
}
LogPrint(BCLog::NET, "Cleared nodestate for peer=%d\n", nodeid);
}
@@ -1050,7 +1301,7 @@ PeerRef PeerManagerImpl::RemovePeer(NodeId id)
return ret;
}
-bool PeerManagerImpl::GetNodeStateStats(NodeId nodeid, CNodeStateStats &stats)
+bool PeerManagerImpl::GetNodeStateStats(NodeId nodeid, CNodeStateStats& stats) const
{
{
LOCK(cs_main);
@@ -1074,19 +1325,22 @@ bool PeerManagerImpl::GetNodeStateStats(NodeId nodeid, CNodeStateStats &stats)
// since pingtime does not update until the ping is complete, which might take a while.
// So, if a ping is taking an unusually long time in flight,
// the caller can immediately detect that this is happening.
- std::chrono::microseconds ping_wait{0};
+ auto ping_wait{0us};
if ((0 != peer->m_ping_nonce_sent) && (0 != peer->m_ping_start.load().count())) {
ping_wait = GetTime<std::chrono::microseconds>() - peer->m_ping_start.load();
}
stats.m_ping_wait = ping_wait;
+ stats.m_addr_processed = peer->m_addr_processed.load();
+ stats.m_addr_rate_limited = peer->m_addr_rate_limited.load();
+ stats.m_addr_relay_enabled = peer->m_addr_relay_enabled.load();
return true;
}
void PeerManagerImpl::AddToCompactExtraTransactions(const CTransactionRef& tx)
{
- size_t max_extra_txn = gArgs.GetArg("-blockreconstructionextratxn", DEFAULT_BLOCK_RECONSTRUCTION_EXTRA_TXN);
+ size_t max_extra_txn = gArgs.GetIntArg("-blockreconstructionextratxn", DEFAULT_BLOCK_RECONSTRUCTION_EXTRA_TXN);
if (max_extra_txn <= 0)
return;
if (!vExtraTxnForCompact.size())
@@ -1103,14 +1357,20 @@ void PeerManagerImpl::Misbehaving(const NodeId pnode, const int howmuch, const s
if (peer == nullptr) return;
LOCK(peer->m_misbehavior_mutex);
+ const int score_before{peer->m_misbehavior_score};
peer->m_misbehavior_score += howmuch;
+ const int score_now{peer->m_misbehavior_score};
+
const std::string message_prefixed = message.empty() ? "" : (": " + message);
- if (peer->m_misbehavior_score >= DISCOURAGEMENT_THRESHOLD && peer->m_misbehavior_score - howmuch < DISCOURAGEMENT_THRESHOLD) {
- LogPrint(BCLog::NET, "Misbehaving: peer=%d (%d -> %d) DISCOURAGE THRESHOLD EXCEEDED%s\n", pnode, peer->m_misbehavior_score - howmuch, peer->m_misbehavior_score, message_prefixed);
+ std::string warning;
+
+ if (score_now >= DISCOURAGEMENT_THRESHOLD && score_before < DISCOURAGEMENT_THRESHOLD) {
+ warning = " DISCOURAGE THRESHOLD EXCEEDED";
peer->m_should_discourage = true;
- } else {
- LogPrint(BCLog::NET, "Misbehaving: peer=%d (%d -> %d)%s\n", pnode, peer->m_misbehavior_score - howmuch, peer->m_misbehavior_score, message_prefixed);
}
+
+ LogPrint(BCLog::NET, "Misbehaving: peer=%d (%d -> %d)%s%s\n",
+ pnode, score_before, score_now, warning, message_prefixed);
}
bool PeerManagerImpl::MaybePunishNodeForBlock(NodeId nodeid, const BlockValidationState& state,
@@ -1182,6 +1442,7 @@ bool PeerManagerImpl::MaybePunishNodeForTx(NodeId nodeid, const TxValidationStat
case TxValidationResult::TX_WITNESS_STRIPPED:
case TxValidationResult::TX_CONFLICT:
case TxValidationResult::TX_MEMPOOL_POLICY:
+ case TxValidationResult::TX_NO_MEMPOOL:
break;
}
if (message != "") {
@@ -1190,57 +1451,72 @@ bool PeerManagerImpl::MaybePunishNodeForTx(NodeId nodeid, const TxValidationStat
return false;
}
-
-//////////////////////////////////////////////////////////////////////////////
-//
-// blockchain -> download logic notification
-//
-
-// To prevent fingerprinting attacks, only send blocks/headers outside of the
-// active chain if they are no more than a month older (both in time, and in
-// best equivalent proof of work) than the best header chain we know about and
-// we fully-validated them at some point.
-static bool BlockRequestAllowed(const CBlockIndex* pindex, const Consensus::Params& consensusParams) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+bool PeerManagerImpl::BlockRequestAllowed(const CBlockIndex* pindex)
{
AssertLockHeld(cs_main);
- if (::ChainActive().Contains(pindex)) return true;
+ if (m_chainman.ActiveChain().Contains(pindex)) return true;
return pindex->IsValid(BLOCK_VALID_SCRIPTS) && (pindexBestHeader != nullptr) &&
- (pindexBestHeader->GetBlockTime() - pindex->GetBlockTime() < STALE_RELAY_AGE_LIMIT) &&
- (GetBlockProofEquivalentTime(*pindexBestHeader, *pindex, *pindexBestHeader, consensusParams) < STALE_RELAY_AGE_LIMIT);
+ (pindexBestHeader->GetBlockTime() - pindex->GetBlockTime() < STALE_RELAY_AGE_LIMIT) &&
+ (GetBlockProofEquivalentTime(*pindexBestHeader, *pindex, *pindexBestHeader, m_chainparams.GetConsensus()) < STALE_RELAY_AGE_LIMIT);
}
-std::unique_ptr<PeerManager> PeerManager::make(const CChainParams& chainparams, CConnman& connman, BanMan* banman,
- CScheduler& scheduler, ChainstateManager& chainman, CTxMemPool& pool,
- bool ignore_incoming_txs)
+std::optional<std::string> PeerManagerImpl::FetchBlock(NodeId peer_id, const CBlockIndex& block_index)
{
- return std::make_unique<PeerManagerImpl>(chainparams, connman, banman, scheduler, chainman, pool, ignore_incoming_txs);
+ if (fImporting) return "Importing...";
+ if (fReindex) return "Reindexing...";
+
+ LOCK(cs_main);
+ // Ensure this peer exists and hasn't been disconnected
+ CNodeState* state = State(peer_id);
+ if (state == nullptr) return "Peer does not exist";
+ // Ignore pre-segwit peers
+ if (!state->fHaveWitness) return "Pre-SegWit peer";
+
+ // Mark block as in-flight unless it already is (for this peer).
+ // If a block was already in-flight for a different peer, its BLOCKTXN
+ // response will be dropped.
+ if (!BlockRequested(peer_id, block_index)) return "Already requested from this peer";
+
+ // Construct message to request the block
+ const uint256& hash{block_index.GetBlockHash()};
+ std::vector<CInv> invs{CInv(MSG_BLOCK | MSG_WITNESS_FLAG, hash)};
+
+ // Send block request message to the peer
+ bool success = m_connman.ForNode(peer_id, [this, &invs](CNode* node) {
+ const CNetMsgMaker msgMaker(node->GetCommonVersion());
+ this->m_connman.PushMessage(node, msgMaker.Make(NetMsgType::GETDATA, invs));
+ return true;
+ });
+
+ if (!success) return "Peer not fully connected";
+
+ LogPrint(BCLog::NET, "Requesting block %s from peer=%d\n",
+ hash.ToString(), peer_id);
+ return std::nullopt;
+}
+
+std::unique_ptr<PeerManager> PeerManager::make(const CChainParams& chainparams, CConnman& connman, AddrMan& addrman,
+ BanMan* banman, ChainstateManager& chainman,
+ CTxMemPool& pool, bool ignore_incoming_txs)
+{
+ return std::make_unique<PeerManagerImpl>(chainparams, connman, addrman, banman, chainman, pool, ignore_incoming_txs);
}
-PeerManagerImpl::PeerManagerImpl(const CChainParams& chainparams, CConnman& connman, BanMan* banman,
- CScheduler& scheduler, ChainstateManager& chainman, CTxMemPool& pool,
- bool ignore_incoming_txs)
+PeerManagerImpl::PeerManagerImpl(const CChainParams& chainparams, CConnman& connman, AddrMan& addrman,
+ BanMan* banman, ChainstateManager& chainman,
+ CTxMemPool& pool, bool ignore_incoming_txs)
: m_chainparams(chainparams),
m_connman(connman),
+ m_addrman(addrman),
m_banman(banman),
m_chainman(chainman),
m_mempool(pool),
- m_stale_tip_check_time(0),
m_ignore_incoming_txs(ignore_incoming_txs)
{
- // Initialize global variables that cannot be constructed at startup.
- recentRejects.reset(new CRollingBloomFilter(120000, 0.000001));
-
- // Blocks don't typically have more than 4000 transactions, so this should
- // be at least six blocks (~1 hr) worth of transactions that we can store,
- // inserting both a txid and wtxid for every observed transaction.
- // If the number of transactions appearing in a block goes up, or if we are
- // seeing getdata requests more than an hour after initial announcement, we
- // can increase this number.
- // The false positive rate of 1/1M should come out to less than 1
- // transaction per day that would be inadvertently ignored (which is the
- // same probability that we have in the reject filter).
- m_recent_confirmed_transactions.reset(new CRollingBloomFilter(48000, 0.000001));
+}
+void PeerManagerImpl::StartScheduledTasks(CScheduler& scheduler)
+{
// Stale tip checking and peer eviction are on two different timers, but we
// don't want them to get out of sync due to drift in the scheduler, so we
// combine them in one function and schedule at the quicker (peer-eviction)
@@ -1249,7 +1525,7 @@ PeerManagerImpl::PeerManagerImpl(const CChainParams& chainparams, CConnman& conn
scheduler.scheduleEvery([this] { this->CheckForStaleTipAndEvictPeers(); }, std::chrono::seconds{EXTRA_PEER_CHECK_INTERVAL});
// schedule next run for 10-15 minutes in the future
- const std::chrono::milliseconds delta = std::chrono::minutes{10} + GetRandMillis(std::chrono::minutes{5});
+ const std::chrono::milliseconds delta = 10min + GetRandMillis(5min);
scheduler.scheduleFromNow([&] { ReattemptInitialBroadcast(scheduler); }, delta);
}
@@ -1261,14 +1537,14 @@ PeerManagerImpl::PeerManagerImpl(const CChainParams& chainparams, CConnman& conn
void PeerManagerImpl::BlockConnected(const std::shared_ptr<const CBlock>& pblock, const CBlockIndex* pindex)
{
m_orphanage.EraseForBlock(*pblock);
- m_last_tip_update = GetTime();
+ m_last_tip_update = GetTime<std::chrono::seconds>();
{
LOCK(m_recent_confirmed_transactions_mutex);
for (const auto& ptx : pblock->vtx) {
- m_recent_confirmed_transactions->insert(ptx->GetHash());
+ m_recent_confirmed_transactions.insert(ptx->GetHash());
if (ptx->GetHash() != ptx->GetWitnessHash()) {
- m_recent_confirmed_transactions->insert(ptx->GetWitnessHash());
+ m_recent_confirmed_transactions.insert(ptx->GetWitnessHash());
}
}
}
@@ -1292,7 +1568,7 @@ void PeerManagerImpl::BlockDisconnected(const std::shared_ptr<const CBlock> &blo
// presumably the most common case of relaying a confirmed transaction
// should be just after a new block containing it is found.
LOCK(m_recent_confirmed_transactions_mutex);
- m_recent_confirmed_transactions->reset();
+ m_recent_confirmed_transactions.reset();
}
// All of the following cache a recent block, and are protected by cs_most_recent_block
@@ -1318,7 +1594,7 @@ void PeerManagerImpl::NewPoWValidBlock(const CBlockIndex *pindex, const std::sha
return;
nHighestFastAnnounce = pindex->nHeight;
- bool fWitnessEnabled = IsWitnessEnabled(pindex->pprev, m_chainparams.GetConsensus());
+ bool fWitnessEnabled = DeploymentActiveAt(*pindex, m_chainparams.GetConsensus(), Consensus::DEPLOYMENT_SEGWIT);
uint256 hashBlock(pblock->GetHash());
{
@@ -1352,7 +1628,7 @@ void PeerManagerImpl::NewPoWValidBlock(const CBlockIndex *pindex, const std::sha
/**
* Update our best height and announce any block hashes which weren't previously
- * in ::ChainActive() to our peers.
+ * in m_chainman.ActiveChain() to our peers.
*/
void PeerManagerImpl::UpdatedBlockTip(const CBlockIndex *pindexNew, const CBlockIndex *pindexFork, bool fInitialDownload)
{
@@ -1414,7 +1690,7 @@ void PeerManagerImpl::BlockChecked(const CBlock& block, const BlockValidationSta
// the tip yet so we have no way to check this directly here. Instead we
// just check that there are currently no other blocks in flight.
else if (state.IsValid() &&
- !::ChainstateActive().IsInitialBlockDownload() &&
+ !m_chainman.ActiveChainstate().IsInitialBlockDownload() &&
mapBlocksInFlight.count(hash) == mapBlocksInFlight.size()) {
if (it != mapBlockSource.end()) {
MaybeSetPeerAsAnnouncingHeaderAndIDs(it->second.first);
@@ -1432,14 +1708,13 @@ void PeerManagerImpl::BlockChecked(const CBlock& block, const BlockValidationSta
bool PeerManagerImpl::AlreadyHaveTx(const GenTxid& gtxid)
{
- assert(recentRejects);
- if (::ChainActive().Tip()->GetBlockHash() != hashRecentRejectsChainTip) {
+ if (m_chainman.ActiveChain().Tip()->GetBlockHash() != hashRecentRejectsChainTip) {
// If the chain tip has changed previously rejected transactions
// might be now valid, e.g. due to a nLockTime'd tx becoming valid,
// or a double-spend. Reset the rejects filter and give those
// txs a second chance.
- hashRecentRejectsChainTip = ::ChainActive().Tip()->GetBlockHash();
- recentRejects->reset();
+ hashRecentRejectsChainTip = m_chainman.ActiveChain().Tip()->GetBlockHash();
+ m_recent_rejects.reset();
}
const uint256& hash = gtxid.GetHash();
@@ -1448,15 +1723,15 @@ bool PeerManagerImpl::AlreadyHaveTx(const GenTxid& gtxid)
{
LOCK(m_recent_confirmed_transactions_mutex);
- if (m_recent_confirmed_transactions->contains(hash)) return true;
+ if (m_recent_confirmed_transactions.contains(hash)) return true;
}
- return recentRejects->contains(hash) || m_mempool.exists(gtxid);
+ return m_recent_rejects.contains(hash) || m_mempool.exists(gtxid);
}
-bool static AlreadyHaveBlock(const uint256& block_hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+bool PeerManagerImpl::AlreadyHaveBlock(const uint256& block_hash)
{
- return g_chainman.m_blockman.LookupBlockIndex(block_hash) != nullptr;
+ return m_chainman.m_blockman.LookupBlockIndex(block_hash) != nullptr;
}
void PeerManagerImpl::SendPings()
@@ -1465,9 +1740,14 @@ void PeerManagerImpl::SendPings()
for(auto& it : m_peer_map) it.second->m_ping_queued = true;
}
-void RelayTransaction(const uint256& txid, const uint256& wtxid, const CConnman& connman)
+void PeerManagerImpl::RelayTransaction(const uint256& txid, const uint256& wtxid)
{
- connman.ForEachNode([&txid, &wtxid](CNode* pnode) EXCLUSIVE_LOCKS_REQUIRED(::cs_main) {
+ WITH_LOCK(cs_main, _RelayTransaction(txid, wtxid););
+}
+
+void PeerManagerImpl::_RelayTransaction(const uint256& txid, const uint256& wtxid)
+{
+ m_connman.ForEachNode([&txid, &wtxid](CNode* pnode) EXCLUSIVE_LOCKS_REQUIRED(::cs_main) {
AssertLockHeld(::cs_main);
CNodeState* state = State(pnode->GetId());
@@ -1480,68 +1760,56 @@ void RelayTransaction(const uint256& txid, const uint256& wtxid, const CConnman&
});
}
-/**
- * Relay (gossip) an address to a few randomly chosen nodes.
- * We choose the same nodes within a given 24h window (if the list of connected
- * nodes does not change) and we don't relay to nodes that already know an
- * address. So within 24h we will likely relay a given address once. This is to
- * prevent a peer from unjustly giving their address better propagation by sending
- * it to us repeatedly.
- * @param[in] originator The peer that sent us the address. We don't want to relay it back.
- * @param[in] addr Address to relay.
- * @param[in] fReachable Whether the address' network is reachable. We relay unreachable
- * addresses less.
- * @param[in] connman Connection manager to choose nodes to relay to.
- */
-static void RelayAddress(const CNode& originator,
- const CAddress& addr,
- bool fReachable,
- const CConnman& connman)
+void PeerManagerImpl::RelayAddress(NodeId originator,
+ const CAddress& addr,
+ bool fReachable)
{
+ // We choose the same nodes within a given 24h window (if the list of connected
+ // nodes does not change) and we don't relay to nodes that already know an
+ // address. So within 24h we will likely relay a given address once. This is to
+ // prevent a peer from unjustly giving their address better propagation by sending
+ // it to us repeatedly.
+
if (!fReachable && !addr.IsRelayable()) return;
// Relay to a limited number of other nodes
// Use deterministic randomness to send to the same nodes for 24 hours
// at a time so the m_addr_knowns of the chosen nodes prevent repeats
- uint64_t hashAddr = addr.GetHash();
- const CSipHasher hasher = connman.GetDeterministicRandomizer(RANDOMIZER_ID_ADDRESS_RELAY).Write(hashAddr << 32).Write((GetTime() + hashAddr) / (24 * 60 * 60));
+ const uint64_t hashAddr{addr.GetHash()};
+ const CSipHasher hasher{m_connman.GetDeterministicRandomizer(RANDOMIZER_ID_ADDRESS_RELAY).Write(hashAddr).Write((GetTime() + hashAddr) / (24 * 60 * 60))};
FastRandomContext insecure_rand;
// Relay reachable addresses to 2 peers. Unreachable addresses are relayed randomly to 1 or 2 peers.
unsigned int nRelayNodes = (fReachable || (hasher.Finalize() & 1)) ? 2 : 1;
- std::array<std::pair<uint64_t, CNode*>,2> best{{{0, nullptr}, {0, nullptr}}};
+ std::array<std::pair<uint64_t, Peer*>, 2> best{{{0, nullptr}, {0, nullptr}}};
assert(nRelayNodes <= best.size());
- auto sortfunc = [&best, &hasher, nRelayNodes, &originator, &addr](CNode* pnode) {
- if (pnode->RelayAddrsWithConn() && pnode != &originator && pnode->IsAddrCompatible(addr)) {
- uint64_t hashKey = CSipHasher(hasher).Write(pnode->GetId()).Finalize();
+ LOCK(m_peer_mutex);
+
+ for (auto& [id, peer] : m_peer_map) {
+ if (peer->m_addr_relay_enabled && id != originator && IsAddrCompatible(*peer, addr)) {
+ uint64_t hashKey = CSipHasher(hasher).Write(id).Finalize();
for (unsigned int i = 0; i < nRelayNodes; i++) {
if (hashKey > best[i].first) {
std::copy(best.begin() + i, best.begin() + nRelayNodes - 1, best.begin() + i + 1);
- best[i] = std::make_pair(hashKey, pnode);
+ best[i] = std::make_pair(hashKey, peer.get());
break;
}
}
}
};
- auto pushfunc = [&addr, &best, nRelayNodes, &insecure_rand] {
- for (unsigned int i = 0; i < nRelayNodes && best[i].first != 0; i++) {
- best[i].second->PushAddress(addr, insecure_rand);
- }
- };
-
- connman.ForEachNodeThen(std::move(sortfunc), std::move(pushfunc));
+ for (unsigned int i = 0; i < nRelayNodes && best[i].first != 0; i++) {
+ PushAddress(*best[i].second, addr, insecure_rand);
+ }
}
-void static ProcessGetBlockData(CNode& pfrom, Peer& peer, const CChainParams& chainparams, const CInv& inv, CConnman& connman)
+void PeerManagerImpl::ProcessGetBlockData(CNode& pfrom, Peer& peer, const CInv& inv)
{
- bool send = false;
std::shared_ptr<const CBlock> a_recent_block;
std::shared_ptr<const CBlockHeaderAndShortTxIDs> a_recent_compact_block;
bool fWitnessesPresentInARecentCompactBlock;
- const Consensus::Params& consensusParams = chainparams.GetConsensus();
{
LOCK(cs_most_recent_block);
a_recent_block = most_recent_block;
@@ -1552,7 +1820,7 @@ void static ProcessGetBlockData(CNode& pfrom, Peer& peer, const CChainParams& ch
bool need_activate_chain = false;
{
LOCK(cs_main);
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(inv.hash);
+ const CBlockIndex* pindex = m_chainman.m_blockman.LookupBlockIndex(inv.hash);
if (pindex) {
if (pindex->HaveTxsDownloaded() && !pindex->IsValid(BLOCK_VALID_SCRIPTS) &&
pindex->IsValid(BLOCK_VALID_TREE)) {
@@ -1567,126 +1835,124 @@ void static ProcessGetBlockData(CNode& pfrom, Peer& peer, const CChainParams& ch
} // release cs_main before calling ActivateBestChain
if (need_activate_chain) {
BlockValidationState state;
- if (!::ChainstateActive().ActivateBestChain(state, chainparams, a_recent_block)) {
+ if (!m_chainman.ActiveChainstate().ActivateBestChain(state, a_recent_block)) {
LogPrint(BCLog::NET, "failed to activate chain (%s)\n", state.ToString());
}
}
LOCK(cs_main);
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(inv.hash);
- if (pindex) {
- send = BlockRequestAllowed(pindex, consensusParams);
- if (!send) {
- LogPrint(BCLog::NET, "%s: ignoring request from peer=%i for old block that isn't in the main chain\n", __func__, pfrom.GetId());
- }
+ const CBlockIndex* pindex = m_chainman.m_blockman.LookupBlockIndex(inv.hash);
+ if (!pindex) {
+ return;
+ }
+ if (!BlockRequestAllowed(pindex)) {
+ LogPrint(BCLog::NET, "%s: ignoring request from peer=%i for old block that isn't in the main chain\n", __func__, pfrom.GetId());
+ return;
}
const CNetMsgMaker msgMaker(pfrom.GetCommonVersion());
// disconnect node in case we have reached the outbound limit for serving historical blocks
- if (send &&
- connman.OutboundTargetReached(true) &&
+ if (m_connman.OutboundTargetReached(true) &&
(((pindexBestHeader != nullptr) && (pindexBestHeader->GetBlockTime() - pindex->GetBlockTime() > HISTORICAL_BLOCK_AGE)) || inv.IsMsgFilteredBlk()) &&
- !pfrom.HasPermission(PF_DOWNLOAD) // nodes with the download permission may exceed target
+ !pfrom.HasPermission(NetPermissionFlags::Download) // nodes with the download permission may exceed target
) {
LogPrint(BCLog::NET, "historical block serving limit reached, disconnect peer=%d\n", pfrom.GetId());
-
- //disconnect node
pfrom.fDisconnect = true;
- send = false;
+ return;
}
// Avoid leaking prune-height by never sending blocks below the NODE_NETWORK_LIMITED threshold
- if (send && !pfrom.HasPermission(PF_NOBAN) && (
- (((pfrom.GetLocalServices() & NODE_NETWORK_LIMITED) == NODE_NETWORK_LIMITED) && ((pfrom.GetLocalServices() & NODE_NETWORK) != NODE_NETWORK) && (::ChainActive().Tip()->nHeight - pindex->nHeight > (int)NODE_NETWORK_LIMITED_MIN_BLOCKS + 2 /* add two blocks buffer extension for possible races */) )
+ if (!pfrom.HasPermission(NetPermissionFlags::NoBan) && (
+ (((pfrom.GetLocalServices() & NODE_NETWORK_LIMITED) == NODE_NETWORK_LIMITED) && ((pfrom.GetLocalServices() & NODE_NETWORK) != NODE_NETWORK) && (m_chainman.ActiveChain().Tip()->nHeight - pindex->nHeight > (int)NODE_NETWORK_LIMITED_MIN_BLOCKS + 2 /* add two blocks buffer extension for possible races */) )
)) {
- LogPrint(BCLog::NET, "Ignore block request below NODE_NETWORK_LIMITED threshold from peer=%d\n", pfrom.GetId());
-
+ LogPrint(BCLog::NET, "Ignore block request below NODE_NETWORK_LIMITED threshold, disconnect peer=%d\n", pfrom.GetId());
//disconnect node and prevent it from stalling (would otherwise wait for the missing block)
pfrom.fDisconnect = true;
- send = false;
+ return;
}
// Pruned nodes may have deleted the block, so check whether
// it's available before trying to send.
- if (send && (pindex->nStatus & BLOCK_HAVE_DATA))
- {
- std::shared_ptr<const CBlock> pblock;
- if (a_recent_block && a_recent_block->GetHash() == pindex->GetBlockHash()) {
- pblock = a_recent_block;
- } else if (inv.IsMsgWitnessBlk()) {
- // Fast-path: in this case it is possible to serve the block directly from disk,
- // as the network format matches the format on disk
- std::vector<uint8_t> block_data;
- if (!ReadRawBlockFromDisk(block_data, pindex, chainparams.MessageStart())) {
- assert(!"cannot load block from disk");
- }
- connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::BLOCK, MakeSpan(block_data)));
- // Don't set pblock as we've sent the block
- } else {
- // Send block from disk
- std::shared_ptr<CBlock> pblockRead = std::make_shared<CBlock>();
- if (!ReadBlockFromDisk(*pblockRead, pindex, consensusParams))
- assert(!"cannot load block from disk");
- pblock = pblockRead;
+ if (!(pindex->nStatus & BLOCK_HAVE_DATA)) {
+ return;
+ }
+ std::shared_ptr<const CBlock> pblock;
+ if (a_recent_block && a_recent_block->GetHash() == pindex->GetBlockHash()) {
+ pblock = a_recent_block;
+ } else if (inv.IsMsgWitnessBlk()) {
+ // Fast-path: in this case it is possible to serve the block directly from disk,
+ // as the network format matches the format on disk
+ std::vector<uint8_t> block_data;
+ if (!ReadRawBlockFromDisk(block_data, pindex->GetBlockPos(), m_chainparams.MessageStart())) {
+ assert(!"cannot load block from disk");
+ }
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::BLOCK, Span{block_data}));
+ // Don't set pblock as we've sent the block
+ } else {
+ // Send block from disk
+ std::shared_ptr<CBlock> pblockRead = std::make_shared<CBlock>();
+ if (!ReadBlockFromDisk(*pblockRead, pindex, m_chainparams.GetConsensus())) {
+ assert(!"cannot load block from disk");
}
- if (pblock) {
- if (inv.IsMsgBlk()) {
- connman.PushMessage(&pfrom, msgMaker.Make(SERIALIZE_TRANSACTION_NO_WITNESS, NetMsgType::BLOCK, *pblock));
- } else if (inv.IsMsgWitnessBlk()) {
- connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::BLOCK, *pblock));
- } else if (inv.IsMsgFilteredBlk()) {
- bool sendMerkleBlock = false;
- CMerkleBlock merkleBlock;
- if (pfrom.m_tx_relay != nullptr) {
- LOCK(pfrom.m_tx_relay->cs_filter);
- if (pfrom.m_tx_relay->pfilter) {
- sendMerkleBlock = true;
- merkleBlock = CMerkleBlock(*pblock, *pfrom.m_tx_relay->pfilter);
- }
- }
- if (sendMerkleBlock) {
- connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::MERKLEBLOCK, merkleBlock));
- // CMerkleBlock just contains hashes, so also push any transactions in the block the client did not see
- // This avoids hurting performance by pointlessly requiring a round-trip
- // Note that there is currently no way for a node to request any single transactions we didn't send here -
- // they must either disconnect and retry or request the full block.
- // Thus, the protocol spec specified allows for us to provide duplicate txn here,
- // however we MUST always provide at least what the remote peer needs
- typedef std::pair<unsigned int, uint256> PairType;
- for (PairType& pair : merkleBlock.vMatchedTxn)
- connman.PushMessage(&pfrom, msgMaker.Make(SERIALIZE_TRANSACTION_NO_WITNESS, NetMsgType::TX, *pblock->vtx[pair.first]));
+ pblock = pblockRead;
+ }
+ if (pblock) {
+ if (inv.IsMsgBlk()) {
+ m_connman.PushMessage(&pfrom, msgMaker.Make(SERIALIZE_TRANSACTION_NO_WITNESS, NetMsgType::BLOCK, *pblock));
+ } else if (inv.IsMsgWitnessBlk()) {
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::BLOCK, *pblock));
+ } else if (inv.IsMsgFilteredBlk()) {
+ bool sendMerkleBlock = false;
+ CMerkleBlock merkleBlock;
+ if (pfrom.m_tx_relay != nullptr) {
+ LOCK(pfrom.m_tx_relay->cs_filter);
+ if (pfrom.m_tx_relay->pfilter) {
+ sendMerkleBlock = true;
+ merkleBlock = CMerkleBlock(*pblock, *pfrom.m_tx_relay->pfilter);
}
- // else
- // no response
- } else if (inv.IsMsgCmpctBlk()) {
- // If a peer is asking for old blocks, we're almost guaranteed
- // they won't have a useful mempool to match against a compact block,
- // and we don't feel like constructing the object for them, so
- // instead we respond with the full, non-compact block.
- bool fPeerWantsWitness = State(pfrom.GetId())->fWantsCmpctWitness;
- int nSendFlags = fPeerWantsWitness ? 0 : SERIALIZE_TRANSACTION_NO_WITNESS;
- if (CanDirectFetch(consensusParams) && pindex->nHeight >= ::ChainActive().Height() - MAX_CMPCTBLOCK_DEPTH) {
- if ((fPeerWantsWitness || !fWitnessesPresentInARecentCompactBlock) && a_recent_compact_block && a_recent_compact_block->header.GetHash() == pindex->GetBlockHash()) {
- connman.PushMessage(&pfrom, msgMaker.Make(nSendFlags, NetMsgType::CMPCTBLOCK, *a_recent_compact_block));
- } else {
- CBlockHeaderAndShortTxIDs cmpctblock(*pblock, fPeerWantsWitness);
- connman.PushMessage(&pfrom, msgMaker.Make(nSendFlags, NetMsgType::CMPCTBLOCK, cmpctblock));
- }
+ }
+ if (sendMerkleBlock) {
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::MERKLEBLOCK, merkleBlock));
+ // CMerkleBlock just contains hashes, so also push any transactions in the block the client did not see
+ // This avoids hurting performance by pointlessly requiring a round-trip
+ // Note that there is currently no way for a node to request any single transactions we didn't send here -
+ // they must either disconnect and retry or request the full block.
+ // Thus, the protocol spec specified allows for us to provide duplicate txn here,
+ // however we MUST always provide at least what the remote peer needs
+ typedef std::pair<unsigned int, uint256> PairType;
+ for (PairType& pair : merkleBlock.vMatchedTxn)
+ m_connman.PushMessage(&pfrom, msgMaker.Make(SERIALIZE_TRANSACTION_NO_WITNESS, NetMsgType::TX, *pblock->vtx[pair.first]));
+ }
+ // else
+ // no response
+ } else if (inv.IsMsgCmpctBlk()) {
+ // If a peer is asking for old blocks, we're almost guaranteed
+ // they won't have a useful mempool to match against a compact block,
+ // and we don't feel like constructing the object for them, so
+ // instead we respond with the full, non-compact block.
+ bool fPeerWantsWitness = State(pfrom.GetId())->fWantsCmpctWitness;
+ int nSendFlags = fPeerWantsWitness ? 0 : SERIALIZE_TRANSACTION_NO_WITNESS;
+ if (CanDirectFetch() && pindex->nHeight >= m_chainman.ActiveChain().Height() - MAX_CMPCTBLOCK_DEPTH) {
+ if ((fPeerWantsWitness || !fWitnessesPresentInARecentCompactBlock) && a_recent_compact_block && a_recent_compact_block->header.GetHash() == pindex->GetBlockHash()) {
+ m_connman.PushMessage(&pfrom, msgMaker.Make(nSendFlags, NetMsgType::CMPCTBLOCK, *a_recent_compact_block));
} else {
- connman.PushMessage(&pfrom, msgMaker.Make(nSendFlags, NetMsgType::BLOCK, *pblock));
+ CBlockHeaderAndShortTxIDs cmpctblock(*pblock, fPeerWantsWitness);
+ m_connman.PushMessage(&pfrom, msgMaker.Make(nSendFlags, NetMsgType::CMPCTBLOCK, cmpctblock));
}
+ } else {
+ m_connman.PushMessage(&pfrom, msgMaker.Make(nSendFlags, NetMsgType::BLOCK, *pblock));
}
}
+ }
- {
- LOCK(peer.m_block_inv_mutex);
- // Trigger the peer node to send a getblocks request for the next batch of inventory
- if (inv.hash == peer.m_continuation_block) {
- // Send immediately. This must send even if redundant,
- // and we want it right after the last block so they don't
- // wait for other stuff first.
- std::vector<CInv> vInv;
- vInv.push_back(CInv(MSG_BLOCK, ::ChainActive().Tip()->GetBlockHash()));
- connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::INV, vInv));
- peer.m_continuation_block.SetNull();
- }
+ {
+ LOCK(peer.m_block_inv_mutex);
+ // Trigger the peer node to send a getblocks request for the next batch of inventory
+ if (inv.hash == peer.m_continuation_block) {
+ // Send immediately. This must send even if redundant,
+ // and we want it right after the last block so they don't
+ // wait for other stuff first.
+ std::vector<CInv> vInv;
+ vInv.push_back(CInv(MSG_BLOCK, m_chainman.ActiveChain().Tip()->GetBlockHash()));
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::INV, vInv));
+ peer.m_continuation_block.SetNull();
}
}
}
@@ -1726,10 +1992,9 @@ void PeerManagerImpl::ProcessGetData(CNode& pfrom, Peer& peer, const std::atomic
std::vector<CInv> vNotFound;
const CNetMsgMaker msgMaker(pfrom.GetCommonVersion());
- const std::chrono::seconds now = GetTime<std::chrono::seconds>();
+ const auto now{GetTime<std::chrono::seconds>()};
// Get last mempool request time
- const std::chrono::seconds mempool_req = pfrom.m_tx_relay != nullptr ? pfrom.m_tx_relay->m_last_mempool_req.load()
- : std::chrono::seconds::min();
+ const auto mempool_req = pfrom.m_tx_relay != nullptr ? pfrom.m_tx_relay->m_last_mempool_req.load() : std::chrono::seconds::min();
// Process as many TX items from the front of the getdata queue as
// possible, since they're common and it's efficient to batch process
@@ -1785,7 +2050,7 @@ void PeerManagerImpl::ProcessGetData(CNode& pfrom, Peer& peer, const std::atomic
if (it != peer.m_getdata_requests.end() && !pfrom.fPauseSend) {
const CInv &inv = *it++;
if (inv.IsGenBlkMsg()) {
- ProcessGetBlockData(pfrom, peer, m_chainparams, inv, m_connman);
+ ProcessGetBlockData(pfrom, peer, inv);
}
// else: If the first item on the queue is an unknown type, we erase it
// and continue processing the queue on the next call.
@@ -1814,7 +2079,7 @@ void PeerManagerImpl::ProcessGetData(CNode& pfrom, Peer& peer, const std::atomic
static uint32_t GetFetchFlags(const CNode& pfrom) EXCLUSIVE_LOCKS_REQUIRED(cs_main) {
uint32_t nFetchFlags = 0;
- if ((pfrom.GetLocalServices() & NODE_WITNESS) && State(pfrom.GetId())->fHaveWitness) {
+ if (State(pfrom.GetId())->fHaveWitness) {
nFetchFlags |= MSG_WITNESS_FLAG;
}
return nFetchFlags;
@@ -1862,9 +2127,9 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
// don't connect before giving DoS points
// - Once a headers message is received that is valid and does connect,
// nUnconnectingHeaders gets reset back to 0.
- if (!g_chainman.m_blockman.LookupBlockIndex(headers[0].hashPrevBlock) && nCount < MAX_BLOCKS_TO_ANNOUNCE) {
+ if (!m_chainman.m_blockman.LookupBlockIndex(headers[0].hashPrevBlock) && nCount < MAX_BLOCKS_TO_ANNOUNCE) {
nodestate->nUnconnectingHeaders++;
- m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, ::ChainActive().GetLocator(pindexBestHeader), uint256()));
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, m_chainman.ActiveChain().GetLocator(pindexBestHeader), uint256()));
LogPrint(BCLog::NET, "received header %s: missing prev block %s, sending getheaders (%d) to end (peer=%d, nUnconnectingHeaders=%d)\n",
headers[0].GetHash().ToString(),
headers[0].hashPrevBlock.ToString(),
@@ -1892,7 +2157,7 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
// If we don't have the last header, then they'll have given us
// something new (if these headers are valid).
- if (!g_chainman.m_blockman.LookupBlockIndex(hashLastBlock)) {
+ if (!m_chainman.m_blockman.LookupBlockIndex(hashLastBlock)) {
received_new_header = true;
}
}
@@ -1920,30 +2185,29 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
// because it is set in UpdateBlockAvailability. Some nullptr checks
// are still present, however, as belt-and-suspenders.
- if (received_new_header && pindexLast->nChainWork > ::ChainActive().Tip()->nChainWork) {
+ if (received_new_header && pindexLast->nChainWork > m_chainman.ActiveChain().Tip()->nChainWork) {
nodestate->m_last_block_announcement = GetTime();
}
if (nCount == MAX_HEADERS_RESULTS) {
// Headers message had its maximum size; the peer may have more headers.
- // TODO: optimize: if pindexLast is an ancestor of ::ChainActive().Tip or pindexBestHeader, continue
+ // TODO: optimize: if pindexLast is an ancestor of m_chainman.ActiveChain().Tip or pindexBestHeader, continue
// from there instead.
LogPrint(BCLog::NET, "more getheaders (%d) to end to peer=%d (startheight:%d)\n",
pindexLast->nHeight, pfrom.GetId(), peer.m_starting_height);
- m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, ::ChainActive().GetLocator(pindexLast), uint256()));
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, m_chainman.ActiveChain().GetLocator(pindexLast), uint256()));
}
- bool fCanDirectFetch = CanDirectFetch(m_chainparams.GetConsensus());
// If this set of headers is valid and ends in a block with at least as
// much work as our tip, download as much as possible.
- if (fCanDirectFetch && pindexLast->IsValid(BLOCK_VALID_TREE) && ::ChainActive().Tip()->nChainWork <= pindexLast->nChainWork) {
+ if (CanDirectFetch() && pindexLast->IsValid(BLOCK_VALID_TREE) && m_chainman.ActiveChain().Tip()->nChainWork <= pindexLast->nChainWork) {
std::vector<const CBlockIndex*> vToFetch;
const CBlockIndex *pindexWalk = pindexLast;
// Calculate all the blocks we'd need to switch to pindexLast, up to a limit.
- while (pindexWalk && !::ChainActive().Contains(pindexWalk) && vToFetch.size() <= MAX_BLOCKS_IN_TRANSIT_PER_PEER) {
+ while (pindexWalk && !m_chainman.ActiveChain().Contains(pindexWalk) && vToFetch.size() <= MAX_BLOCKS_IN_TRANSIT_PER_PEER) {
if (!(pindexWalk->nStatus & BLOCK_HAVE_DATA) &&
- !mapBlocksInFlight.count(pindexWalk->GetBlockHash()) &&
- (!IsWitnessEnabled(pindexWalk->pprev, m_chainparams.GetConsensus()) || State(pfrom.GetId())->fHaveWitness)) {
+ !IsBlockRequested(pindexWalk->GetBlockHash()) &&
+ (!DeploymentActiveAt(*pindexWalk, m_chainparams.GetConsensus(), Consensus::DEPLOYMENT_SEGWIT) || State(pfrom.GetId())->fHaveWitness)) {
// We don't have this block, and it's not yet in flight.
vToFetch.push_back(pindexWalk);
}
@@ -1953,7 +2217,7 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
// very large reorg at a time we think we're close to caught up to
// the main chain -- this shouldn't really happen. Bail out on the
// direct fetch and rely on parallel download instead.
- if (!::ChainActive().Contains(pindexWalk)) {
+ if (!m_chainman.ActiveChain().Contains(pindexWalk)) {
LogPrint(BCLog::NET, "Large reorg, won't direct fetch to %s (%d)\n",
pindexLast->GetBlockHash().ToString(),
pindexLast->nHeight);
@@ -1967,7 +2231,7 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
}
uint32_t nFetchFlags = GetFetchFlags(pfrom);
vGetData.push_back(CInv(MSG_BLOCK | nFetchFlags, pindex->GetBlockHash()));
- MarkBlockAsInFlight(pfrom.GetId(), pindex->GetBlockHash(), pindex);
+ BlockRequested(pfrom.GetId(), *pindex);
LogPrint(BCLog::NET, "Requesting block %s from peer=%d\n",
pindex->GetBlockHash().ToString(), pfrom.GetId());
}
@@ -1976,7 +2240,11 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
pindexLast->GetBlockHash().ToString(), pindexLast->nHeight);
}
if (vGetData.size() > 0) {
- if (nodestate->fSupportsDesiredCmpctVersion && vGetData.size() == 1 && mapBlocksInFlight.size() == 1 && pindexLast->pprev->IsValid(BLOCK_VALID_CHAIN)) {
+ if (!m_ignore_incoming_txs &&
+ nodestate->fSupportsDesiredCmpctVersion &&
+ vGetData.size() == 1 &&
+ mapBlocksInFlight.size() == 1 &&
+ pindexLast->pprev->IsValid(BLOCK_VALID_CHAIN)) {
// In any case, we want to download using a compact block, not a regular one
vGetData[0] = CInv(MSG_CMPCT_BLOCK, vGetData[0].hash);
}
@@ -1986,7 +2254,7 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
}
// If we're in IBD, we want outbound peers that will serve us a useful
// chain. Disconnect peers that are on chains with insufficient work.
- if (::ChainstateActive().IsInitialBlockDownload() && nCount != MAX_HEADERS_RESULTS) {
+ if (m_chainman.ActiveChainstate().IsInitialBlockDownload() && nCount != MAX_HEADERS_RESULTS) {
// When nCount < MAX_HEADERS_RESULTS, we know we have no more
// headers to fetch from this peer.
if (nodestate->pindexBestKnownBlock && nodestate->pindexBestKnownBlock->nChainWork < nMinimumChainWork) {
@@ -1994,7 +2262,7 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
// us sync -- disconnect if it is an outbound disconnection
// candidate.
// Note: We compare their tip to nMinimumChainWork (rather than
- // ::ChainActive().Tip()) because we won't start block download
+ // m_chainman.ActiveChain().Tip()) because we won't start block download
// until we have a headers chain that has at least
// nMinimumChainWork, even if a peer has a chain past our tip,
// as an anti-DoS measure.
@@ -2011,7 +2279,7 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
// thus always subject to eviction under the bad/lagging chain logic.
// See ChainSyncTimeoutState.
if (!pfrom.fDisconnect && pfrom.IsFullOutboundConn() && nodestate->pindexBestKnownBlock != nullptr) {
- if (m_outbound_peers_with_protect_from_disconnect < MAX_OUTBOUND_PEERS_TO_PROTECT_FROM_DISCONNECT && nodestate->pindexBestKnownBlock->nChainWork >= ::ChainActive().Tip()->nChainWork && !nodestate->m_chain_sync.m_protect) {
+ if (m_outbound_peers_with_protect_from_disconnect < MAX_OUTBOUND_PEERS_TO_PROTECT_FROM_DISCONNECT && nodestate->pindexBestKnownBlock->nChainWork >= m_chainman.ActiveChain().Tip()->nChainWork && !nodestate->m_chain_sync.m_protect) {
LogPrint(BCLog::NET, "Protecting outbound peer=%d from eviction\n", pfrom.GetId());
nodestate->m_chain_sync.m_protect = true;
++m_outbound_peers_with_protect_from_disconnect;
@@ -2025,7 +2293,7 @@ void PeerManagerImpl::ProcessHeadersMessage(CNode& pfrom, const Peer& peer,
/**
* Reconsider orphan transactions after a parent has been accepted to the mempool.
*
- * @param[in/out] orphan_work_set The set of orphan transactions to reconsider. Generally only one
+ * @param[in,out] orphan_work_set The set of orphan transactions to reconsider. Generally only one
* orphan will be reconsidered on each call of this function. This set
* may be added to if accepting an orphan causes its children to be
* reconsidered.
@@ -2042,12 +2310,12 @@ void PeerManagerImpl::ProcessOrphanTx(std::set<uint256>& orphan_work_set)
const auto [porphanTx, from_peer] = m_orphanage.GetTx(orphanHash);
if (porphanTx == nullptr) continue;
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), m_mempool, porphanTx, false /* bypass_limits */);
+ const MempoolAcceptResult result = m_chainman.ProcessTransaction(porphanTx);
const TxValidationState& state = result.m_state;
if (result.m_result_type == MempoolAcceptResult::ResultType::VALID) {
LogPrint(BCLog::MEMPOOL, " accepted orphan tx %s\n", orphanHash.ToString());
- RelayTransaction(orphanHash, porphanTx->GetWitnessHash(), m_connman);
+ _RelayTransaction(orphanHash, porphanTx->GetWitnessHash());
m_orphanage.AddChildrenToWorkSet(*porphanTx, orphan_work_set);
m_orphanage.EraseTx(orphanHash);
for (const CTransactionRef& removedTx : result.m_replaced_transactions.value()) {
@@ -2080,8 +2348,7 @@ void PeerManagerImpl::ProcessOrphanTx(std::set<uint256>& orphan_work_set)
// See also comments in https://github.com/bitcoin/bitcoin/pull/18044#discussion_r443419034
// for concerns around weakening security of unupgraded nodes
// if we start doing this too early.
- assert(recentRejects);
- recentRejects->insert(porphanTx->GetWitnessHash());
+ m_recent_rejects.insert(porphanTx->GetWitnessHash());
// If the transaction failed for TX_INPUTS_NOT_STANDARD,
// then we know that the witness was irrelevant to the policy
// failure, since this check depends only on the txid
@@ -2093,36 +2360,20 @@ void PeerManagerImpl::ProcessOrphanTx(std::set<uint256>& orphan_work_set)
if (state.GetResult() == TxValidationResult::TX_INPUTS_NOT_STANDARD && porphanTx->GetWitnessHash() != porphanTx->GetHash()) {
// We only add the txid if it differs from the wtxid, to
// avoid wasting entries in the rolling bloom filter.
- recentRejects->insert(porphanTx->GetHash());
+ m_recent_rejects.insert(porphanTx->GetHash());
}
}
m_orphanage.EraseTx(orphanHash);
break;
}
}
- m_mempool.check(m_chainman.ActiveChainstate());
}
-/**
- * Validation logic for compact filters request handling.
- *
- * May disconnect from the peer in the case of a bad request.
- *
- * @param[in] peer The peer that we received the request from
- * @param[in] chain_params Chain parameters
- * @param[in] filter_type The filter type the request is for. Must be basic filters.
- * @param[in] start_height The start height for the request
- * @param[in] stop_hash The stop_hash for the request
- * @param[in] max_height_diff The maximum number of items permitted to request, as specified in BIP 157
- * @param[out] stop_index The CBlockIndex for the stop_hash block, if the request can be serviced.
- * @param[out] filter_index The filter index, if the request can be serviced.
- * @return True if the request can be serviced.
- */
-static bool PrepareBlockFilterRequest(CNode& peer, const CChainParams& chain_params,
- BlockFilterType filter_type, uint32_t start_height,
- const uint256& stop_hash, uint32_t max_height_diff,
- const CBlockIndex*& stop_index,
- BlockFilterIndex*& filter_index)
+bool PeerManagerImpl::PrepareBlockFilterRequest(CNode& peer,
+ BlockFilterType filter_type, uint32_t start_height,
+ const uint256& stop_hash, uint32_t max_height_diff,
+ const CBlockIndex*& stop_index,
+ BlockFilterIndex*& filter_index)
{
const bool supported_filter_type =
(filter_type == BlockFilterType::BASIC &&
@@ -2136,10 +2387,10 @@ static bool PrepareBlockFilterRequest(CNode& peer, const CChainParams& chain_par
{
LOCK(cs_main);
- stop_index = g_chainman.m_blockman.LookupBlockIndex(stop_hash);
+ stop_index = m_chainman.m_blockman.LookupBlockIndex(stop_hash);
// Check that the stop block exists and the peer would be allowed to fetch it.
- if (!stop_index || !BlockRequestAllowed(stop_index, chain_params.GetConsensus())) {
+ if (!stop_index || !BlockRequestAllowed(stop_index)) {
LogPrint(BCLog::NET, "peer %d requested invalid block hash: %s\n",
peer.GetId(), stop_hash.ToString());
peer.fDisconnect = true;
@@ -2171,18 +2422,7 @@ static bool PrepareBlockFilterRequest(CNode& peer, const CChainParams& chain_par
return true;
}
-/**
- * Handle a cfilters request.
- *
- * May disconnect from the peer in the case of a bad request.
- *
- * @param[in] peer The peer that we received the request from
- * @param[in] vRecv The raw message received
- * @param[in] chain_params Chain parameters
- * @param[in] connman Pointer to the connection manager
- */
-static void ProcessGetCFilters(CNode& peer, CDataStream& vRecv, const CChainParams& chain_params,
- CConnman& connman)
+void PeerManagerImpl::ProcessGetCFilters(CNode& peer, CDataStream& vRecv)
{
uint8_t filter_type_ser;
uint32_t start_height;
@@ -2194,7 +2434,7 @@ static void ProcessGetCFilters(CNode& peer, CDataStream& vRecv, const CChainPara
const CBlockIndex* stop_index;
BlockFilterIndex* filter_index;
- if (!PrepareBlockFilterRequest(peer, chain_params, filter_type, start_height, stop_hash,
+ if (!PrepareBlockFilterRequest(peer, filter_type, start_height, stop_hash,
MAX_GETCFILTERS_SIZE, stop_index, filter_index)) {
return;
}
@@ -2209,22 +2449,11 @@ static void ProcessGetCFilters(CNode& peer, CDataStream& vRecv, const CChainPara
for (const auto& filter : filters) {
CSerializedNetMsg msg = CNetMsgMaker(peer.GetCommonVersion())
.Make(NetMsgType::CFILTER, filter);
- connman.PushMessage(&peer, std::move(msg));
+ m_connman.PushMessage(&peer, std::move(msg));
}
}
-/**
- * Handle a cfheaders request.
- *
- * May disconnect from the peer in the case of a bad request.
- *
- * @param[in] peer The peer that we received the request from
- * @param[in] vRecv The raw message received
- * @param[in] chain_params Chain parameters
- * @param[in] connman Pointer to the connection manager
- */
-static void ProcessGetCFHeaders(CNode& peer, CDataStream& vRecv, const CChainParams& chain_params,
- CConnman& connman)
+void PeerManagerImpl::ProcessGetCFHeaders(CNode& peer, CDataStream& vRecv)
{
uint8_t filter_type_ser;
uint32_t start_height;
@@ -2236,7 +2465,7 @@ static void ProcessGetCFHeaders(CNode& peer, CDataStream& vRecv, const CChainPar
const CBlockIndex* stop_index;
BlockFilterIndex* filter_index;
- if (!PrepareBlockFilterRequest(peer, chain_params, filter_type, start_height, stop_hash,
+ if (!PrepareBlockFilterRequest(peer, filter_type, start_height, stop_hash,
MAX_GETCFHEADERS_SIZE, stop_index, filter_index)) {
return;
}
@@ -2265,21 +2494,10 @@ static void ProcessGetCFHeaders(CNode& peer, CDataStream& vRecv, const CChainPar
stop_index->GetBlockHash(),
prev_header,
filter_hashes);
- connman.PushMessage(&peer, std::move(msg));
+ m_connman.PushMessage(&peer, std::move(msg));
}
-/**
- * Handle a getcfcheckpt request.
- *
- * May disconnect from the peer in the case of a bad request.
- *
- * @param[in] peer The peer that we received the request from
- * @param[in] vRecv The raw message received
- * @param[in] chain_params Chain parameters
- * @param[in] connman Pointer to the connection manager
- */
-static void ProcessGetCFCheckPt(CNode& peer, CDataStream& vRecv, const CChainParams& chain_params,
- CConnman& connman)
+void PeerManagerImpl::ProcessGetCFCheckPt(CNode& peer, CDataStream& vRecv)
{
uint8_t filter_type_ser;
uint256 stop_hash;
@@ -2290,7 +2508,7 @@ static void ProcessGetCFCheckPt(CNode& peer, CDataStream& vRecv, const CChainPar
const CBlockIndex* stop_index;
BlockFilterIndex* filter_index;
- if (!PrepareBlockFilterRequest(peer, chain_params, filter_type, /*start_height=*/0, stop_hash,
+ if (!PrepareBlockFilterRequest(peer, filter_type, /*start_height=*/0, stop_hash,
/*max_height_diff=*/std::numeric_limits<uint32_t>::max(),
stop_index, filter_index)) {
return;
@@ -2316,7 +2534,19 @@ static void ProcessGetCFCheckPt(CNode& peer, CDataStream& vRecv, const CChainPar
filter_type_ser,
stop_index->GetBlockHash(),
headers);
- connman.PushMessage(&peer, std::move(msg));
+ m_connman.PushMessage(&peer, std::move(msg));
+}
+
+void PeerManagerImpl::ProcessBlock(CNode& node, const std::shared_ptr<const CBlock>& block, bool force_processing)
+{
+ bool new_block{false};
+ m_chainman.ProcessNewBlock(m_chainparams, block, force_processing, &new_block);
+ if (new_block) {
+ node.m_last_block_time = GetTime<std::chrono::seconds>();
+ } else {
+ LOCK(cs_main);
+ mapBlockSource.erase(block->GetHash());
+ }
}
void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type, CDataStream& vRecv,
@@ -2335,24 +2565,23 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
}
int64_t nTime;
- CAddress addrMe;
- CAddress addrFrom;
+ CService addrMe;
uint64_t nNonce = 1;
- uint64_t nServiceInt;
ServiceFlags nServices;
int nVersion;
std::string cleanSubVer;
int starting_height = -1;
bool fRelay = true;
- vRecv >> nVersion >> nServiceInt >> nTime >> addrMe;
+ vRecv >> nVersion >> Using<CustomUintFormatter<8>>(nServices) >> nTime;
if (nTime < 0) {
nTime = 0;
}
- nServices = ServiceFlags(nServiceInt);
+ vRecv.ignore(8); // Ignore the addrMe service bits sent by the peer
+ vRecv >> addrMe;
if (!pfrom.IsInboundConn())
{
- m_connman.SetServices(pfrom.addr, nServices);
+ m_addrman.SetServices(pfrom.addr, nServices);
}
if (pfrom.ExpectServicesFromConn() && !HasAllDesirableServiceFlags(nServices))
{
@@ -2368,8 +2597,14 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
return;
}
- if (!vRecv.empty())
- vRecv >> addrFrom >> nNonce;
+ if (!vRecv.empty()) {
+ // The version message includes information about the sending node which we don't use:
+ // - 8 bytes (service bits)
+ // - 16 bytes (ipv6 address)
+ // - 2 bytes (port)
+ vRecv.ignore(26);
+ vRecv >> nNonce;
+ }
if (!vRecv.empty()) {
std::string strSubVer;
vRecv >> LIMITED_STRING(strSubVer, MAX_SUBVERSION_LENGTH);
@@ -2395,7 +2630,9 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// Inbound peers send us their version message when they connect.
// We send our version message in response.
- if (pfrom.IsInboundConn()) PushNodeVersion(pfrom, GetAdjustedTime());
+ if (pfrom.IsInboundConn()) {
+ PushNodeVersion(pfrom);
+ }
// Change version
const int greatest_common_version = std::min(nVersion, PROTOCOL_VERSION);
@@ -2422,7 +2659,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
pfrom.nServices = nServices;
pfrom.SetAddrLocal(addrMe);
{
- LOCK(pfrom.cs_SubVer);
+ LOCK(pfrom.m_subver_mutex);
pfrom.cleanSubVer = cleanSubVer;
}
peer->m_starting_height = starting_height;
@@ -2450,7 +2687,8 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
UpdatePreferredDownload(pfrom, State(pfrom.GetId()));
}
- if (!pfrom.IsInboundConn() && !pfrom.IsBlockOnlyConn()) {
+ // Self advertisement & GETADDR logic
+ if (!pfrom.IsInboundConn() && SetupAddressRelay(pfrom, *peer)) {
// For outbound peers, we try to relay our address (so that other
// nodes can try to find us more quickly, as we have no guarantee
// that an outbound peer is even aware of how to reach us) and do a
@@ -2459,26 +2697,30 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// empty and no one will know who we are, so these mechanisms are
// important to help us connect to the network.
//
- // We skip this for block-relay-only peers to avoid potentially leaking
- // information about our block-relay-only connections via address relay.
- if (fListen && !::ChainstateActive().IsInitialBlockDownload())
+ // We skip this for block-relay-only peers. We want to avoid
+ // potentially leaking addr information and we do not want to
+ // indicate to the peer that we will participate in addr relay.
+ if (fListen && !m_chainman.ActiveChainstate().IsInitialBlockDownload())
{
CAddress addr = GetLocalAddress(&pfrom.addr, pfrom.GetLocalServices());
FastRandomContext insecure_rand;
if (addr.IsRoutable())
{
LogPrint(BCLog::NET, "ProcessMessages: advertising address %s\n", addr.ToString());
- pfrom.PushAddress(addr, insecure_rand);
+ PushAddress(*peer, addr, insecure_rand);
} else if (IsPeerAddrLocalGood(&pfrom)) {
addr.SetIP(addrMe);
LogPrint(BCLog::NET, "ProcessMessages: advertising address %s\n", addr.ToString());
- pfrom.PushAddress(addr, insecure_rand);
+ PushAddress(*peer, addr, insecure_rand);
}
}
// Get recent addresses
m_connman.PushMessage(&pfrom, CNetMsgMaker(greatest_common_version).Make(NetMsgType::GETADDR));
- pfrom.fGetAddr = true;
+ peer->m_getaddr_sent = true;
+ // When requesting a getaddr, accept an additional MAX_ADDR_TO_SEND addresses in response
+ // (bypassing the MAX_ADDR_PROCESSING_TOKEN_BUCKET limit).
+ peer->m_addr_token_bucket += MAX_ADDR_TO_SEND;
}
if (!pfrom.IsInboundConn()) {
@@ -2491,12 +2733,12 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// table is also potentially detrimental because new-table entries
// are subject to eviction in the event of addrman collisions. We
// mitigate the information-leak by never calling
- // CAddrMan::Connected() on block-relay-only peers; see
+ // AddrMan::Connected() on block-relay-only peers; see
// FinalizeNode().
//
// This moves an address from New to Tried table in Addrman,
// resolves tried-table collisions, etc.
- m_connman.MarkAddressGood(pfrom.addr);
+ m_addrman.Good(pfrom.addr);
}
std::string remoteAddr;
@@ -2510,7 +2752,11 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
int64_t nTimeOffset = nTime - GetTime();
pfrom.nTimeOffset = nTimeOffset;
- AddTimeData(pfrom.addr, nTimeOffset);
+ if (!pfrom.IsInboundConn()) {
+ // Don't use timedata samples from inbound peers to make it
+ // harder for others to tamper with our adjusted time.
+ AddTimeData(pfrom.addr, nTimeOffset);
+ }
// If the peer is old enough to have the old alert system, send it the final alert.
if (greatest_common_version <= 70012) {
@@ -2563,8 +2809,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// they may wish to request compact blocks from us
bool fAnnounceUsingCMPCTBLOCK = false;
uint64_t nCMPCTBLOCKVersion = 2;
- if (pfrom.GetLocalServices() & NODE_WITNESS)
- m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::SENDCMPCT, fAnnounceUsingCMPCTBLOCK, nCMPCTBLOCKVersion));
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::SENDCMPCT, fAnnounceUsingCMPCTBLOCK, nCMPCTBLOCKVersion));
nCMPCTBLOCKVersion = 1;
m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::SENDCMPCT, fAnnounceUsingCMPCTBLOCK, nCMPCTBLOCKVersion));
}
@@ -2582,7 +2827,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
bool fAnnounceUsingCMPCTBLOCK = false;
uint64_t nCMPCTBLOCKVersion = 0;
vRecv >> fAnnounceUsingCMPCTBLOCK >> nCMPCTBLOCKVersion;
- if (nCMPCTBLOCKVersion == 1 || ((pfrom.GetLocalServices() & NODE_WITNESS) && nCMPCTBLOCKVersion == 2)) {
+ if (nCMPCTBLOCKVersion == 1 || nCMPCTBLOCKVersion == 2) {
LOCK(cs_main);
// fProvidesHeaderAndIDs is used to "lock in" version of compact blocks we send (fWantsCmpctWitness)
if (!State(pfrom.GetId())->fProvidesHeaderAndIDs) {
@@ -2596,10 +2841,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
pfrom.m_bip152_highbandwidth_from = fAnnounceUsingCMPCTBLOCK;
}
if (!State(pfrom.GetId())->fSupportsDesiredCmpctVersion) {
- if (pfrom.GetLocalServices() & NODE_WITNESS)
- State(pfrom.GetId())->fSupportsDesiredCmpctVersion = (nCMPCTBLOCKVersion == 2);
- else
- State(pfrom.GetId())->fSupportsDesiredCmpctVersion = (nCMPCTBLOCKVersion == 1);
+ State(pfrom.GetId())->fSupportsDesiredCmpctVersion = (nCMPCTBLOCKVersion == 2);
}
}
return;
@@ -2637,7 +2879,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
pfrom.fDisconnect = true;
return;
}
- pfrom.m_wants_addrv2 = true;
+ peer->m_wants_addrv2 = true;
return;
}
@@ -2659,10 +2901,11 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
s >> vAddr;
- if (!pfrom.RelayAddrsWithConn()) {
+ if (!SetupAddressRelay(pfrom, *peer)) {
LogPrint(BCLog::NET, "ignoring %s message from %s peer=%d\n", msg_type, pfrom.ConnectionTypeAsString(), pfrom.GetId());
return;
}
+
if (vAddr.size() > MAX_ADDR_TO_SEND)
{
Misbehaving(pfrom.GetId(), 20, strprintf("%s message size = %u", msg_type, vAddr.size()));
@@ -2673,11 +2916,35 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
std::vector<CAddress> vAddrOk;
int64_t nNow = GetAdjustedTime();
int64_t nSince = nNow - 10 * 60;
+
+ // Update/increment addr rate limiting bucket.
+ const auto current_time{GetTime<std::chrono::microseconds>()};
+ if (peer->m_addr_token_bucket < MAX_ADDR_PROCESSING_TOKEN_BUCKET) {
+ // Don't increment bucket if it's already full
+ const auto time_diff = std::max(current_time - peer->m_addr_token_timestamp, 0us);
+ const double increment = CountSecondsDouble(time_diff) * MAX_ADDR_RATE_PER_SECOND;
+ peer->m_addr_token_bucket = std::min<double>(peer->m_addr_token_bucket + increment, MAX_ADDR_PROCESSING_TOKEN_BUCKET);
+ }
+ peer->m_addr_token_timestamp = current_time;
+
+ const bool rate_limited = !pfrom.HasPermission(NetPermissionFlags::Addr);
+ uint64_t num_proc = 0;
+ uint64_t num_rate_limit = 0;
+ Shuffle(vAddr.begin(), vAddr.end(), FastRandomContext());
for (CAddress& addr : vAddr)
{
if (interruptMsgProc)
return;
+ // Apply rate limiting.
+ if (peer->m_addr_token_bucket < 1.0) {
+ if (rate_limited) {
+ ++num_rate_limit;
+ continue;
+ }
+ } else {
+ peer->m_addr_token_bucket -= 1.0;
+ }
// We only bother storing full nodes, though this may include
// things which we would not make an outbound connection to, in
// part because we may make feeler connections to them.
@@ -2686,25 +2953,31 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
if (addr.nTime <= 100000000 || addr.nTime > nNow + 10 * 60)
addr.nTime = nNow - 5 * 24 * 60 * 60;
- pfrom.AddAddressKnown(addr);
+ AddAddressKnown(*peer, addr);
if (m_banman && (m_banman->IsDiscouraged(addr) || m_banman->IsBanned(addr))) {
// Do not process banned/discouraged addresses beyond remembering we received them
continue;
}
+ ++num_proc;
bool fReachable = IsReachable(addr);
- if (addr.nTime > nSince && !pfrom.fGetAddr && vAddr.size() <= 10 && addr.IsRoutable())
- {
+ if (addr.nTime > nSince && !peer->m_getaddr_sent && vAddr.size() <= 10 && addr.IsRoutable()) {
// Relay to a limited number of other nodes
- RelayAddress(pfrom, addr, fReachable, m_connman);
+ RelayAddress(pfrom.GetId(), addr, fReachable);
}
// Do not store addresses outside our network
if (fReachable)
vAddrOk.push_back(addr);
}
- m_connman.AddNewAddresses(vAddrOk, pfrom.addr, 2 * 60 * 60);
- if (vAddr.size() < 1000)
- pfrom.fGetAddr = false;
- if (pfrom.IsAddrFetchConn()) {
+ peer->m_addr_processed += num_proc;
+ peer->m_addr_rate_limited += num_rate_limit;
+ LogPrint(BCLog::NET, "Received addr: %u addresses (%u processed, %u rate-limited) from peer=%d\n",
+ vAddr.size(), num_proc, num_rate_limit, pfrom.GetId());
+
+ m_addrman.Add(vAddrOk, pfrom.addr, 2 * 60 * 60);
+ if (vAddr.size() < 1000) peer->m_getaddr_sent = false;
+
+ // AddrFetch: Require multiple addresses to avoid disconnecting on self-announcements
+ if (pfrom.IsAddrFetchConn() && vAddr.size() > 1) {
LogPrint(BCLog::NET, "addrfetch connection completed peer=%d; disconnecting\n", pfrom.GetId());
pfrom.fDisconnect = true;
}
@@ -2720,18 +2993,18 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
return;
}
- // We won't accept tx inv's if we're in blocks-only mode, or this is a
+ // Reject tx INVs when the -blocksonly setting is enabled, or this is a
// block-relay-only peer
- bool fBlocksOnly = m_ignore_incoming_txs || (pfrom.m_tx_relay == nullptr);
+ bool reject_tx_invs{m_ignore_incoming_txs || (pfrom.m_tx_relay == nullptr)};
// Allow peers with relay permission to send data other than blocks in blocks only mode
- if (pfrom.HasPermission(PF_RELAY)) {
- fBlocksOnly = false;
+ if (pfrom.HasPermission(NetPermissionFlags::Relay)) {
+ reject_tx_invs = false;
}
LOCK(cs_main);
- const auto current_time = GetTime<std::chrono::microseconds>();
+ const auto current_time{GetTime<std::chrono::microseconds>()};
uint256* best_block{nullptr};
for (CInv& inv : vInv) {
@@ -2751,7 +3024,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
LogPrint(BCLog::NET, "got inv: %s %s peer=%d\n", inv.ToString(), fAlreadyHave ? "have" : "new", pfrom.GetId());
UpdateBlockAvailability(pfrom.GetId(), inv.hash);
- if (!fAlreadyHave && !fImporting && !fReindex && !mapBlocksInFlight.count(inv.hash)) {
+ if (!fAlreadyHave && !fImporting && !fReindex && !IsBlockRequested(inv.hash)) {
// Headers-first is the primary method of announcement on
// the network. If a node fell back to sending blocks by inv,
// it's probably for a re-org. The final block hash
@@ -2760,16 +3033,17 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
best_block = &inv.hash;
}
} else if (inv.IsGenTxMsg()) {
+ if (reject_tx_invs) {
+ LogPrint(BCLog::NET, "transaction (%s) inv sent in violation of protocol, disconnecting peer=%d\n", inv.hash.ToString(), pfrom.GetId());
+ pfrom.fDisconnect = true;
+ return;
+ }
const GenTxid gtxid = ToGenTxid(inv);
const bool fAlreadyHave = AlreadyHaveTx(gtxid);
LogPrint(BCLog::NET, "got inv: %s %s peer=%d\n", inv.ToString(), fAlreadyHave ? "have" : "new", pfrom.GetId());
pfrom.AddKnownTx(inv.hash);
- if (fBlocksOnly) {
- LogPrint(BCLog::NET, "transaction (%s) inv sent in violation of protocol, disconnecting peer=%d\n", inv.hash.ToString(), pfrom.GetId());
- pfrom.fDisconnect = true;
- return;
- } else if (!fAlreadyHave && !m_chainman.ActiveChainstate().IsInitialBlockDownload()) {
+ if (!fAlreadyHave && !m_chainman.ActiveChainstate().IsInitialBlockDownload()) {
AddTxAnnouncement(pfrom, gtxid, current_time);
}
} else {
@@ -2778,7 +3052,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
}
if (best_block != nullptr) {
- m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, ::ChainActive().GetLocator(pindexBestHeader), *best_block));
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, m_chainman.ActiveChain().GetLocator(pindexBestHeader), *best_block));
LogPrint(BCLog::NET, "getheaders (%d) %s to peer=%d\n", pindexBestHeader->nHeight, best_block->ToString(), pfrom.GetId());
}
@@ -2834,7 +3108,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
a_recent_block = most_recent_block;
}
BlockValidationState state;
- if (!::ChainstateActive().ActivateBestChain(state, m_chainparams, a_recent_block)) {
+ if (!m_chainman.ActiveChainstate().ActivateBestChain(state, a_recent_block)) {
LogPrint(BCLog::NET, "failed to activate chain (%s)\n", state.ToString());
}
}
@@ -2842,14 +3116,14 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
LOCK(cs_main);
// Find the last block the caller has in the main chain
- const CBlockIndex* pindex = g_chainman.m_blockman.FindForkInGlobalIndex(::ChainActive(), locator);
+ const CBlockIndex* pindex = m_chainman.ActiveChainstate().FindForkInGlobalIndex(locator);
// Send the rest of the chain
if (pindex)
- pindex = ::ChainActive().Next(pindex);
+ pindex = m_chainman.ActiveChain().Next(pindex);
int nLimit = 500;
LogPrint(BCLog::NET, "getblocks %d to %s limit %d from peer=%d\n", (pindex ? pindex->nHeight : -1), hashStop.IsNull() ? "end" : hashStop.ToString(), nLimit, pfrom.GetId());
- for (; pindex; pindex = ::ChainActive().Next(pindex))
+ for (; pindex; pindex = m_chainman.ActiveChain().Next(pindex))
{
if (pindex->GetBlockHash() == hashStop)
{
@@ -2859,7 +3133,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// If pruning, don't inv blocks unless we have on disk and are likely to still have
// for some reasonable time window (1 hour) that block relay might require.
const int nPrunedBlocksLikelyToHave = MIN_BLOCKS_TO_KEEP - 3600 / m_chainparams.GetConsensus().nPowTargetSpacing;
- if (fPruneMode && (!(pindex->nStatus & BLOCK_HAVE_DATA) || pindex->nHeight <= ::ChainActive().Tip()->nHeight - nPrunedBlocksLikelyToHave))
+ if (fPruneMode && (!(pindex->nStatus & BLOCK_HAVE_DATA) || pindex->nHeight <= m_chainman.ActiveChain().Tip()->nHeight - nPrunedBlocksLikelyToHave))
{
LogPrint(BCLog::NET, " getblocks stopping, pruned or too old block at %d %s\n", pindex->nHeight, pindex->GetBlockHash().ToString());
break;
@@ -2895,13 +3169,13 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
{
LOCK(cs_main);
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(req.blockhash);
+ const CBlockIndex* pindex = m_chainman.m_blockman.LookupBlockIndex(req.blockhash);
if (!pindex || !(pindex->nStatus & BLOCK_HAVE_DATA)) {
LogPrint(BCLog::NET, "Peer %d sent us a getblocktxn for a block we don't have\n", pfrom.GetId());
return;
}
- if (pindex->nHeight >= ::ChainActive().Height() - MAX_BLOCKTXN_DEPTH) {
+ if (pindex->nHeight >= m_chainman.ActiveChain().Height() - MAX_BLOCKTXN_DEPTH) {
CBlock block;
bool ret = ReadBlockFromDisk(block, pindex, m_chainparams.GetConsensus());
assert(ret);
@@ -2939,7 +3213,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
}
LOCK(cs_main);
- if (::ChainstateActive().IsInitialBlockDownload() && !pfrom.HasPermission(PF_DOWNLOAD)) {
+ if (m_chainman.ActiveChainstate().IsInitialBlockDownload() && !pfrom.HasPermission(NetPermissionFlags::Download)) {
LogPrint(BCLog::NET, "Ignoring getheaders from peer=%d because node is in initial block download\n", pfrom.GetId());
return;
}
@@ -2949,12 +3223,12 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
if (locator.IsNull())
{
// If locator is null, return the hashStop block
- pindex = g_chainman.m_blockman.LookupBlockIndex(hashStop);
+ pindex = m_chainman.m_blockman.LookupBlockIndex(hashStop);
if (!pindex) {
return;
}
- if (!BlockRequestAllowed(pindex, m_chainparams.GetConsensus())) {
+ if (!BlockRequestAllowed(pindex)) {
LogPrint(BCLog::NET, "%s: ignoring request from peer=%i for old block header that isn't in the main chain\n", __func__, pfrom.GetId());
return;
}
@@ -2962,23 +3236,23 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
else
{
// Find the last block the caller has in the main chain
- pindex = g_chainman.m_blockman.FindForkInGlobalIndex(::ChainActive(), locator);
+ pindex = m_chainman.ActiveChainstate().FindForkInGlobalIndex(locator);
if (pindex)
- pindex = ::ChainActive().Next(pindex);
+ pindex = m_chainman.ActiveChain().Next(pindex);
}
// we must use CBlocks, as CBlockHeaders won't include the 0x00 nTx count at the end
std::vector<CBlock> vHeaders;
int nLimit = MAX_HEADERS_RESULTS;
LogPrint(BCLog::NET, "getheaders %d to %s from peer=%d\n", (pindex ? pindex->nHeight : -1), hashStop.IsNull() ? "end" : hashStop.ToString(), pfrom.GetId());
- for (; pindex; pindex = ::ChainActive().Next(pindex))
+ for (; pindex; pindex = m_chainman.ActiveChain().Next(pindex))
{
vHeaders.push_back(pindex->GetBlockHeader());
if (--nLimit <= 0 || pindex->GetBlockHash() == hashStop)
break;
}
- // pindex can be nullptr either if we sent ::ChainActive().Tip() OR
- // if our peer has ::ChainActive().Tip() (and thus we are sending an empty
+ // pindex can be nullptr either if we sent m_chainman.ActiveChain().Tip() OR
+ // if our peer has m_chainman.ActiveChain().Tip() (and thus we are sending an empty
// headers message). In both cases it's safe to update
// pindexBestHeaderSent to be our tip.
//
@@ -2989,7 +3263,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// without the new block. By resetting the BestHeaderSent, we ensure we
// will re-announce the new block via headers (or compact blocks again)
// in the SendMessages logic.
- nodestate->pindexBestHeaderSent = pindex ? pindex : ::ChainActive().Tip();
+ nodestate->pindexBestHeaderSent = pindex ? pindex : m_chainman.ActiveChain().Tip();
m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::HEADERS, vHeaders));
return;
}
@@ -2998,13 +3272,18 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// Stop processing the transaction early if
// 1) We are in blocks only mode and peer has no relay permission
// 2) This peer is a block-relay-only peer
- if ((m_ignore_incoming_txs && !pfrom.HasPermission(PF_RELAY)) || (pfrom.m_tx_relay == nullptr))
+ if ((m_ignore_incoming_txs && !pfrom.HasPermission(NetPermissionFlags::Relay)) || (pfrom.m_tx_relay == nullptr))
{
LogPrint(BCLog::NET, "transaction sent in violation of protocol peer=%d\n", pfrom.GetId());
pfrom.fDisconnect = true;
return;
}
+ // Stop processing the transaction early if we are still in IBD since we don't
+ // have enough information to validate it yet. Sending unsolicited transactions
+ // is not considered a protocol violation, so don't punish the peer.
+ if (m_chainman.ActiveChainstate().IsInitialBlockDownload()) return;
+
CTransactionRef ptx;
vRecv >> ptx;
const CTransaction& tx = *ptx;
@@ -3042,34 +3321,33 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// already; and an adversary can already relay us old transactions
// (older than our recency filter) if trying to DoS us, without any need
// for witness malleation.
- if (AlreadyHaveTx(GenTxid(/* is_wtxid=*/true, wtxid))) {
- if (pfrom.HasPermission(PF_FORCERELAY)) {
+ if (AlreadyHaveTx(GenTxid::Wtxid(wtxid))) {
+ if (pfrom.HasPermission(NetPermissionFlags::ForceRelay)) {
// Always relay transactions received from peers with forcerelay
// permission, even if they were already in the mempool, allowing
// the node to function as a gateway for nodes hidden behind it.
- if (!m_mempool.exists(tx.GetHash())) {
+ if (!m_mempool.exists(GenTxid::Txid(tx.GetHash()))) {
LogPrintf("Not relaying non-mempool transaction %s from forcerelay peer=%d\n", tx.GetHash().ToString(), pfrom.GetId());
} else {
LogPrintf("Force relaying tx %s from peer=%d\n", tx.GetHash().ToString(), pfrom.GetId());
- RelayTransaction(tx.GetHash(), tx.GetWitnessHash(), m_connman);
+ _RelayTransaction(tx.GetHash(), tx.GetWitnessHash());
}
}
return;
}
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), m_mempool, ptx, false /* bypass_limits */);
+ const MempoolAcceptResult result = m_chainman.ProcessTransaction(ptx);
const TxValidationState& state = result.m_state;
if (result.m_result_type == MempoolAcceptResult::ResultType::VALID) {
- m_mempool.check(m_chainman.ActiveChainstate());
// As this version of the transaction was acceptable, we can forget about any
// requests for it.
m_txrequest.ForgetTxHash(tx.GetHash());
m_txrequest.ForgetTxHash(tx.GetWitnessHash());
- RelayTransaction(tx.GetHash(), tx.GetWitnessHash(), m_connman);
+ _RelayTransaction(tx.GetHash(), tx.GetWitnessHash());
m_orphanage.AddChildrenToWorkSet(tx, peer->m_orphan_work_set);
- pfrom.nLastTXTime = GetTime();
+ pfrom.m_last_tx_time = GetTime<std::chrono::seconds>();
LogPrint(BCLog::MEMPOOL, "AcceptToMemoryPool: peer=%d: accepted %s (poolsz %u txn, %u kB)\n",
pfrom.GetId(),
@@ -3098,13 +3376,13 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
std::sort(unique_parents.begin(), unique_parents.end());
unique_parents.erase(std::unique(unique_parents.begin(), unique_parents.end()), unique_parents.end());
for (const uint256& parent_txid : unique_parents) {
- if (recentRejects->contains(parent_txid)) {
+ if (m_recent_rejects.contains(parent_txid)) {
fRejectedParents = true;
break;
}
}
if (!fRejectedParents) {
- const auto current_time = GetTime<std::chrono::microseconds>();
+ const auto current_time{GetTime<std::chrono::microseconds>()};
for (const uint256& parent_txid : unique_parents) {
// Here, we only have the txid (and not wtxid) of the
@@ -3112,7 +3390,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// wtxidrelay peers.
// Eventually we should replace this with an improved
// protocol for getting all unconfirmed parents.
- const GenTxid gtxid{/* is_wtxid=*/false, parent_txid};
+ const auto gtxid{GenTxid::Txid(parent_txid)};
pfrom.AddKnownTx(parent_txid);
if (!AlreadyHaveTx(gtxid)) AddTxAnnouncement(pfrom, gtxid, current_time);
}
@@ -3126,7 +3404,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
m_txrequest.ForgetTxHash(tx.GetWitnessHash());
// DoS prevention: do not allow m_orphanage to grow unbounded (see CVE-2012-3789)
- unsigned int nMaxOrphanTx = (unsigned int)std::max((int64_t)0, gArgs.GetArg("-maxorphantx", DEFAULT_MAX_ORPHAN_TRANSACTIONS));
+ unsigned int nMaxOrphanTx = (unsigned int)std::max((int64_t)0, gArgs.GetIntArg("-maxorphantx", DEFAULT_MAX_ORPHAN_TRANSACTIONS));
unsigned int nEvicted = m_orphanage.LimitOrphans(nMaxOrphanTx);
if (nEvicted > 0) {
LogPrint(BCLog::MEMPOOL, "orphanage overflow, removed %u tx\n", nEvicted);
@@ -3139,8 +3417,8 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// regardless of what witness is provided, we will not accept
// this, so we don't need to allow for redownload of this txid
// from any of our non-wtxidrelay peers.
- recentRejects->insert(tx.GetHash());
- recentRejects->insert(tx.GetWitnessHash());
+ m_recent_rejects.insert(tx.GetHash());
+ m_recent_rejects.insert(tx.GetWitnessHash());
m_txrequest.ForgetTxHash(tx.GetHash());
m_txrequest.ForgetTxHash(tx.GetWitnessHash());
}
@@ -3159,8 +3437,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// See also comments in https://github.com/bitcoin/bitcoin/pull/18044#discussion_r443419034
// for concerns around weakening security of unupgraded nodes
// if we start doing this too early.
- assert(recentRejects);
- recentRejects->insert(tx.GetWitnessHash());
+ m_recent_rejects.insert(tx.GetWitnessHash());
m_txrequest.ForgetTxHash(tx.GetWitnessHash());
// If the transaction failed for TX_INPUTS_NOT_STANDARD,
// then we know that the witness was irrelevant to the policy
@@ -3171,7 +3448,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// transactions are later received (resulting in
// parent-fetching by txid via the orphan-handling logic).
if (state.GetResult() == TxValidationResult::TX_INPUTS_NOT_STANDARD && tx.GetWitnessHash() != tx.GetHash()) {
- recentRejects->insert(tx.GetHash());
+ m_recent_rejects.insert(tx.GetHash());
m_txrequest.ForgetTxHash(tx.GetHash());
}
if (RecursiveDynamicUsage(*ptx) < 100000) {
@@ -3180,21 +3457,21 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
}
}
- // If a tx has been detected by recentRejects, we will have reached
- // this point and the tx will have been ignored. Because we haven't run
- // the tx through AcceptToMemoryPool, we won't have computed a DoS
+ // If a tx has been detected by m_recent_rejects, we will have reached
+ // this point and the tx will have been ignored. Because we haven't
+ // submitted the tx to our mempool, we won't have computed a DoS
// score for it or determined exactly why we consider it invalid.
//
// This means we won't penalize any peer subsequently relaying a DoSy
// tx (even if we penalized the first peer who gave it to us) because
- // we have to account for recentRejects showing false positives. In
+ // we have to account for m_recent_rejects showing false positives. In
// other words, we shouldn't penalize a peer if we aren't *sure* they
// submitted a DoSy tx.
//
- // Note that recentRejects doesn't just record DoSy or invalid
+ // Note that m_recent_rejects doesn't just record DoSy or invalid
// transactions, but any tx not accepted by the mempool, which may be
// due to node policy (vs. consensus). So we can't blanket penalize a
- // peer simply for relaying a tx that our recentRejects has caught,
+ // peer simply for relaying a tx that our m_recent_rejects has caught,
// regardless of false positives.
if (state.IsInvalid()) {
@@ -3222,14 +3499,14 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
{
LOCK(cs_main);
- if (!g_chainman.m_blockman.LookupBlockIndex(cmpctblock.header.hashPrevBlock)) {
+ if (!m_chainman.m_blockman.LookupBlockIndex(cmpctblock.header.hashPrevBlock)) {
// Doesn't connect (or is genesis), instead of DoSing in AcceptBlockHeader, request deeper headers
- if (!::ChainstateActive().IsInitialBlockDownload())
- m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, ::ChainActive().GetLocator(pindexBestHeader), uint256()));
+ if (!m_chainman.ActiveChainstate().IsInitialBlockDownload())
+ m_connman.PushMessage(&pfrom, msgMaker.Make(NetMsgType::GETHEADERS, m_chainman.ActiveChain().GetLocator(pindexBestHeader), uint256()));
return;
}
- if (!g_chainman.m_blockman.LookupBlockIndex(cmpctblock.header.GetHash())) {
+ if (!m_chainman.m_blockman.LookupBlockIndex(cmpctblock.header.GetHash())) {
received_new_header = true;
}
}
@@ -3269,7 +3546,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// If this was a new header with more work than our tip, update the
// peer's last block announcement time
- if (received_new_header && pindex->nChainWork > ::ChainActive().Tip()->nChainWork) {
+ if (received_new_header && pindex->nChainWork > m_chainman.ActiveChain().Tip()->nChainWork) {
nodestate->m_last_block_announcement = GetTime();
}
@@ -3279,7 +3556,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
if (pindex->nStatus & BLOCK_HAVE_DATA) // Nothing to do here
return;
- if (pindex->nChainWork <= ::ChainActive().Tip()->nChainWork || // We know something better
+ if (pindex->nChainWork <= m_chainman.ActiveChain().Tip()->nChainWork || // We know something better
pindex->nTx != 0) { // We had this block at some point, but pruned it
if (fAlreadyInFlight) {
// We requested this block for some reason, but our mempool will probably be useless
@@ -3292,10 +3569,11 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
}
// If we're not close to tip yet, give up and let parallel block fetch work its magic
- if (!fAlreadyInFlight && !CanDirectFetch(m_chainparams.GetConsensus()))
+ if (!fAlreadyInFlight && !CanDirectFetch()) {
return;
+ }
- if (IsWitnessEnabled(pindex->pprev, m_chainparams.GetConsensus()) && !nodestate->fSupportsDesiredCmpctVersion) {
+ if (DeploymentActiveAt(*pindex, m_chainparams.GetConsensus(), Consensus::DEPLOYMENT_SEGWIT) && !nodestate->fSupportsDesiredCmpctVersion) {
// Don't bother trying to process compact blocks from v1 peers
// after segwit activates.
return;
@@ -3303,11 +3581,11 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// We want to be a bit conservative just to be extra careful about DoS
// possibilities in compact block processing...
- if (pindex->nHeight <= ::ChainActive().Height() + 2) {
+ if (pindex->nHeight <= m_chainman.ActiveChain().Height() + 2) {
if ((!fAlreadyInFlight && nodestate->nBlocksInFlight < MAX_BLOCKS_IN_TRANSIT_PER_PEER) ||
(fAlreadyInFlight && blockInFlightIt->second.first == pfrom.GetId())) {
std::list<QueuedBlock>::iterator* queuedBlockIt = nullptr;
- if (!MarkBlockAsInFlight(pfrom.GetId(), pindex->GetBlockHash(), pindex, &queuedBlockIt)) {
+ if (!BlockRequested(pfrom.GetId(), *pindex, &queuedBlockIt)) {
if (!(*queuedBlockIt)->partialBlock)
(*queuedBlockIt)->partialBlock.reset(new PartiallyDownloadedBlock(&m_mempool));
else {
@@ -3320,7 +3598,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
PartiallyDownloadedBlock& partialBlock = *(*queuedBlockIt)->partialBlock;
ReadStatus status = partialBlock.InitData(cmpctblock, vExtraTxnForCompact);
if (status == READ_STATUS_INVALID) {
- MarkBlockAsReceived(pindex->GetBlockHash()); // Reset in-flight state in case Misbehaving does not result in a disconnect
+ RemoveBlockRequest(pindex->GetBlockHash()); // Reset in-flight state in case Misbehaving does not result in a disconnect
Misbehaving(pfrom.GetId(), 100, "invalid compact block");
return;
} else if (status == READ_STATUS_FAILED) {
@@ -3399,8 +3677,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
LOCK(cs_main);
mapBlockSource.emplace(pblock->GetHash(), std::make_pair(pfrom.GetId(), false));
}
- bool fNewBlock = false;
- // Setting fForceProcessing to true means that we bypass some of
+ // Setting force_processing to true means that we bypass some of
// our anti-DoS protections in AcceptBlock, which filters
// unrequested blocks that might be trying to waste our resources
// (eg disk space). Because we only try to reconstruct blocks when
@@ -3409,20 +3686,14 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// we have a chain with at least nMinimumChainWork), and we ignore
// compact blocks with less work than our tip, it is safe to treat
// reconstructed compact blocks as having been requested.
- m_chainman.ProcessNewBlock(m_chainparams, pblock, /*fForceProcessing=*/true, &fNewBlock);
- if (fNewBlock) {
- pfrom.nLastBlockTime = GetTime();
- } else {
- LOCK(cs_main);
- mapBlockSource.erase(pblock->GetHash());
- }
+ ProcessBlock(pfrom, pblock, /*force_processing=*/true);
LOCK(cs_main); // hold cs_main for CBlockIndex::IsValid()
if (pindex->IsValid(BLOCK_VALID_TRANSACTIONS)) {
// Clear download state for this block, which is in
// process from some other peer. We do this after calling
// ProcessNewBlock so that a malleated cmpctblock announcement
// can't be used to interfere with block relay.
- MarkBlockAsReceived(pblock->GetHash());
+ RemoveBlockRequest(pblock->GetHash());
}
}
return;
@@ -3454,7 +3725,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
PartiallyDownloadedBlock& partialBlock = *it->second.second->partialBlock;
ReadStatus status = partialBlock.FillBlock(*pblock, resp.txn);
if (status == READ_STATUS_INVALID) {
- MarkBlockAsReceived(resp.blockhash); // Reset in-flight state in case Misbehaving does not result in a disconnect
+ RemoveBlockRequest(resp.blockhash); // Reset in-flight state in case Misbehaving does not result in a disconnect
Misbehaving(pfrom.GetId(), 100, "invalid compact block/non-matching block transactions");
return;
} else if (status == READ_STATUS_FAILED) {
@@ -3480,7 +3751,7 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
// though the block was successfully read, and rely on the
// handling in ProcessNewBlock to ensure the block index is
// updated, etc.
- MarkBlockAsReceived(resp.blockhash); // it is now an empty pointer
+ RemoveBlockRequest(resp.blockhash); // it is now an empty pointer
fBlockRead = true;
// mapBlockSource is used for potentially punishing peers and
// updating which peers send us compact blocks, so the race
@@ -3492,20 +3763,13 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
}
} // Don't hold cs_main when we call into ProcessNewBlock
if (fBlockRead) {
- bool fNewBlock = false;
// Since we requested this block (it was in mapBlocksInFlight), force it to be processed,
// even if it would not be a candidate for new tip (missing previous block, chain not long enough, etc)
// This bypasses some anti-DoS logic in AcceptBlock (eg to prevent
// disk-space attacks), but this should be safe due to the
// protections in the compact block handler -- see related comment
// in compact block optimistic reconstruction handling.
- m_chainman.ProcessNewBlock(m_chainparams, pblock, /*fForceProcessing=*/true, &fNewBlock);
- if (fNewBlock) {
- pfrom.nLastBlockTime = GetTime();
- } else {
- LOCK(cs_main);
- mapBlockSource.erase(pblock->GetHash());
- }
+ ProcessBlock(pfrom, pblock, /*force_processing=*/true);
}
return;
}
@@ -3552,22 +3816,16 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
const uint256 hash(pblock->GetHash());
{
LOCK(cs_main);
- // Also always process if we requested the block explicitly, as we may
- // need it even though it is not a candidate for a new best tip.
- forceProcessing |= MarkBlockAsReceived(hash);
+ // Always process the block if we requested it, since we may
+ // need it even when it's not a candidate for a new best tip.
+ forceProcessing = IsBlockRequested(hash);
+ RemoveBlockRequest(hash);
// mapBlockSource is only used for punishing peers and setting
// which peers send us compact blocks, so the race between here and
// cs_main in ProcessNewBlock is fine.
mapBlockSource.emplace(hash, std::make_pair(pfrom.GetId(), true));
}
- bool fNewBlock = false;
- m_chainman.ProcessNewBlock(m_chainparams, pblock, forceProcessing, &fNewBlock);
- if (fNewBlock) {
- pfrom.nLastBlockTime = GetTime();
- } else {
- LOCK(cs_main);
- mapBlockSource.erase(pblock->GetHash());
- }
+ ProcessBlock(pfrom, pblock, forceProcessing);
return;
}
@@ -3582,32 +3840,36 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
return;
}
+ // Since this must be an inbound connection, SetupAddressRelay will
+ // never fail.
+ Assume(SetupAddressRelay(pfrom, *peer));
+
// Only send one GetAddr response per connection to reduce resource waste
- // and discourage addr stamping of INV announcements.
- if (pfrom.fSentAddr) {
+ // and discourage addr stamping of INV announcements.
+ if (peer->m_getaddr_recvd) {
LogPrint(BCLog::NET, "Ignoring repeated \"getaddr\". peer=%d\n", pfrom.GetId());
return;
}
- pfrom.fSentAddr = true;
+ peer->m_getaddr_recvd = true;
- pfrom.vAddrToSend.clear();
+ peer->m_addrs_to_send.clear();
std::vector<CAddress> vAddr;
- if (pfrom.HasPermission(PF_ADDR)) {
- vAddr = m_connman.GetAddresses(MAX_ADDR_TO_SEND, MAX_PCT_ADDR_TO_SEND);
+ if (pfrom.HasPermission(NetPermissionFlags::Addr)) {
+ vAddr = m_connman.GetAddresses(MAX_ADDR_TO_SEND, MAX_PCT_ADDR_TO_SEND, /* network */ std::nullopt);
} else {
vAddr = m_connman.GetAddresses(pfrom, MAX_ADDR_TO_SEND, MAX_PCT_ADDR_TO_SEND);
}
FastRandomContext insecure_rand;
for (const CAddress &addr : vAddr) {
- pfrom.PushAddress(addr, insecure_rand);
+ PushAddress(*peer, addr, insecure_rand);
}
return;
}
if (msg_type == NetMsgType::MEMPOOL) {
- if (!(pfrom.GetLocalServices() & NODE_BLOOM) && !pfrom.HasPermission(PF_MEMPOOL))
+ if (!(pfrom.GetLocalServices() & NODE_BLOOM) && !pfrom.HasPermission(NetPermissionFlags::Mempool))
{
- if (!pfrom.HasPermission(PF_NOBAN))
+ if (!pfrom.HasPermission(NetPermissionFlags::NoBan))
{
LogPrint(BCLog::NET, "mempool request with bloom filters disabled, disconnect peer=%d\n", pfrom.GetId());
pfrom.fDisconnect = true;
@@ -3615,9 +3877,9 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
return;
}
- if (m_connman.OutboundTargetReached(false) && !pfrom.HasPermission(PF_MEMPOOL))
+ if (m_connman.OutboundTargetReached(false) && !pfrom.HasPermission(NetPermissionFlags::Mempool))
{
- if (!pfrom.HasPermission(PF_NOBAN))
+ if (!pfrom.HasPermission(NetPermissionFlags::NoBan))
{
LogPrint(BCLog::NET, "mempool request with bandwidth limit reached, disconnect peer=%d\n", pfrom.GetId());
pfrom.fDisconnect = true;
@@ -3786,17 +4048,17 @@ void PeerManagerImpl::ProcessMessage(CNode& pfrom, const std::string& msg_type,
}
if (msg_type == NetMsgType::GETCFILTERS) {
- ProcessGetCFilters(pfrom, vRecv, m_chainparams, m_connman);
+ ProcessGetCFilters(pfrom, vRecv);
return;
}
if (msg_type == NetMsgType::GETCFHEADERS) {
- ProcessGetCFHeaders(pfrom, vRecv, m_chainparams, m_connman);
+ ProcessGetCFHeaders(pfrom, vRecv);
return;
}
if (msg_type == NetMsgType::GETCFCHECKPT) {
- ProcessGetCFCheckPt(pfrom, vRecv, m_chainparams, m_connman);
+ ProcessGetCFCheckPt(pfrom, vRecv);
return;
}
@@ -3832,8 +4094,8 @@ bool PeerManagerImpl::MaybeDiscourageAndDisconnect(CNode& pnode, Peer& peer)
peer.m_should_discourage = false;
} // peer.m_misbehavior_mutex
- if (pnode.HasPermission(PF_NOBAN)) {
- // We never disconnect or discourage peers for bad behavior if they have the NOBAN permission flag
+ if (pnode.HasPermission(NetPermissionFlags::NoBan)) {
+ // We never disconnect or discourage peers for bad behavior if they have NetPermissionFlags::NoBan permission
LogPrintf("Warning: not punishing noban peer %d!\n", peer.m_id);
return false;
}
@@ -3911,33 +4173,38 @@ bool PeerManagerImpl::ProcessMessages(CNode* pfrom, std::atomic<bool>& interrupt
}
CNetMessage& msg(msgs.front());
+ TRACE6(net, inbound_message,
+ pfrom->GetId(),
+ pfrom->m_addr_name.c_str(),
+ pfrom->ConnectionTypeAsString().c_str(),
+ msg.m_type.c_str(),
+ msg.m_recv.size(),
+ msg.m_recv.data()
+ );
+
if (gArgs.GetBoolArg("-capturemessages", false)) {
- CaptureMessage(pfrom->addr, msg.m_command, MakeUCharSpan(msg.m_recv), /* incoming */ true);
+ CaptureMessage(pfrom->addr, msg.m_type, MakeUCharSpan(msg.m_recv), /*is_incoming=*/true);
}
msg.SetVersion(pfrom->GetCommonVersion());
- const std::string& msg_type = msg.m_command;
-
- // Message size
- unsigned int nMessageSize = msg.m_message_size;
try {
- ProcessMessage(*pfrom, msg_type, msg.m_recv, msg.m_time, interruptMsgProc);
+ ProcessMessage(*pfrom, msg.m_type, msg.m_recv, msg.m_time, interruptMsgProc);
if (interruptMsgProc) return false;
{
LOCK(peer->m_getdata_requests_mutex);
if (!peer->m_getdata_requests.empty()) fMoreWork = true;
}
} catch (const std::exception& e) {
- LogPrint(BCLog::NET, "%s(%s, %u bytes): Exception '%s' (%s) caught\n", __func__, SanitizeString(msg_type), nMessageSize, e.what(), typeid(e).name());
+ LogPrint(BCLog::NET, "%s(%s, %u bytes): Exception '%s' (%s) caught\n", __func__, SanitizeString(msg.m_type), msg.m_message_size, e.what(), typeid(e).name());
} catch (...) {
- LogPrint(BCLog::NET, "%s(%s, %u bytes): Unknown exception caught\n", __func__, SanitizeString(msg_type), nMessageSize);
+ LogPrint(BCLog::NET, "%s(%s, %u bytes): Unknown exception caught\n", __func__, SanitizeString(msg.m_type), msg.m_message_size);
}
return fMoreWork;
}
-void PeerManagerImpl::ConsiderEviction(CNode& pto, int64_t time_in_seconds)
+void PeerManagerImpl::ConsiderEviction(CNode& pto, std::chrono::seconds time_in_seconds)
{
AssertLockHeld(cs_main);
@@ -3951,21 +4218,21 @@ void PeerManagerImpl::ConsiderEviction(CNode& pto, int64_t time_in_seconds)
// their chain has more work than ours, we should sync to it,
// unless it's invalid, in which case we should find that out and
// disconnect from them elsewhere).
- if (state.pindexBestKnownBlock != nullptr && state.pindexBestKnownBlock->nChainWork >= ::ChainActive().Tip()->nChainWork) {
- if (state.m_chain_sync.m_timeout != 0) {
- state.m_chain_sync.m_timeout = 0;
+ if (state.pindexBestKnownBlock != nullptr && state.pindexBestKnownBlock->nChainWork >= m_chainman.ActiveChain().Tip()->nChainWork) {
+ if (state.m_chain_sync.m_timeout != 0s) {
+ state.m_chain_sync.m_timeout = 0s;
state.m_chain_sync.m_work_header = nullptr;
state.m_chain_sync.m_sent_getheaders = false;
}
- } else if (state.m_chain_sync.m_timeout == 0 || (state.m_chain_sync.m_work_header != nullptr && state.pindexBestKnownBlock != nullptr && state.pindexBestKnownBlock->nChainWork >= state.m_chain_sync.m_work_header->nChainWork)) {
+ } else if (state.m_chain_sync.m_timeout == 0s || (state.m_chain_sync.m_work_header != nullptr && state.pindexBestKnownBlock != nullptr && state.pindexBestKnownBlock->nChainWork >= state.m_chain_sync.m_work_header->nChainWork)) {
// Our best block known by this peer is behind our tip, and we're either noticing
// that for the first time, OR this peer was able to catch up to some earlier point
// where we checked against our tip.
// Either way, set a new timeout based on current tip.
state.m_chain_sync.m_timeout = time_in_seconds + CHAIN_SYNC_TIMEOUT;
- state.m_chain_sync.m_work_header = ::ChainActive().Tip();
+ state.m_chain_sync.m_work_header = m_chainman.ActiveChain().Tip();
state.m_chain_sync.m_sent_getheaders = false;
- } else if (state.m_chain_sync.m_timeout > 0 && time_in_seconds > state.m_chain_sync.m_timeout) {
+ } else if (state.m_chain_sync.m_timeout > 0s && time_in_seconds > state.m_chain_sync.m_timeout) {
// No evidence yet that our peer has synced to a chain with work equal to that
// of our tip, when we first detected it was behind. Send a single getheaders
// message to give the peer a chance to update us.
@@ -3976,9 +4243,9 @@ void PeerManagerImpl::ConsiderEviction(CNode& pto, int64_t time_in_seconds)
} else {
assert(state.m_chain_sync.m_work_header);
LogPrint(BCLog::NET, "sending getheaders to outbound peer=%d to verify chain work (current best known block:%s, benchmark blockhash: %s)\n", pto.GetId(), state.pindexBestKnownBlock != nullptr ? state.pindexBestKnownBlock->GetBlockHash().ToString() : "<none>", state.m_chain_sync.m_work_header->GetBlockHash().ToString());
- m_connman.PushMessage(&pto, msgMaker.Make(NetMsgType::GETHEADERS, ::ChainActive().GetLocator(state.m_chain_sync.m_work_header->pprev), uint256()));
+ m_connman.PushMessage(&pto, msgMaker.Make(NetMsgType::GETHEADERS, m_chainman.ActiveChain().GetLocator(state.m_chain_sync.m_work_header->pprev), uint256()));
state.m_chain_sync.m_sent_getheaders = true;
- constexpr int64_t HEADERS_RESPONSE_TIME = 120; // 2 minutes
+ constexpr auto HEADERS_RESPONSE_TIME{2min};
// Bump the timeout to allow a response, which could clear the timeout
// (if the response shows the peer has synced), reset the timeout (if
// the peer syncs to the required work but not to our tip), or result
@@ -3990,7 +4257,7 @@ void PeerManagerImpl::ConsiderEviction(CNode& pto, int64_t time_in_seconds)
}
}
-void PeerManagerImpl::EvictExtraOutboundPeers(int64_t time_in_seconds)
+void PeerManagerImpl::EvictExtraOutboundPeers(std::chrono::seconds now)
{
// If we have any extra block-relay-only peers, disconnect the youngest unless
// it's given us a block -- in which case, compare with the second-youngest, and
@@ -3999,14 +4266,14 @@ void PeerManagerImpl::EvictExtraOutboundPeers(int64_t time_in_seconds)
// to temporarily in order to sync our tip; see net.cpp.
// Note that we use higher nodeid as a measure for most recent connection.
if (m_connman.GetExtraBlockRelayCount() > 0) {
- std::pair<NodeId, int64_t> youngest_peer{-1, 0}, next_youngest_peer{-1, 0};
+ std::pair<NodeId, std::chrono::seconds> youngest_peer{-1, 0}, next_youngest_peer{-1, 0};
m_connman.ForEachNode([&](CNode* pnode) {
if (!pnode->IsBlockOnlyConn() || pnode->fDisconnect) return;
if (pnode->GetId() > youngest_peer.first) {
next_youngest_peer = youngest_peer;
youngest_peer.first = pnode->GetId();
- youngest_peer.second = pnode->nLastBlockTime;
+ youngest_peer.second = pnode->m_last_block_time;
}
});
NodeId to_disconnect = youngest_peer.first;
@@ -4024,13 +4291,14 @@ void PeerManagerImpl::EvictExtraOutboundPeers(int64_t time_in_seconds)
// valid headers chain with at least as much work as our tip.
CNodeState *node_state = State(pnode->GetId());
if (node_state == nullptr ||
- (time_in_seconds - pnode->nTimeConnected >= MINIMUM_CONNECT_TIME && node_state->nBlocksInFlight == 0)) {
+ (now - pnode->m_connected >= MINIMUM_CONNECT_TIME && node_state->nBlocksInFlight == 0)) {
pnode->fDisconnect = true;
- LogPrint(BCLog::NET, "disconnecting extra block-relay-only peer=%d (last block received at time %d)\n", pnode->GetId(), pnode->nLastBlockTime);
+ LogPrint(BCLog::NET, "disconnecting extra block-relay-only peer=%d (last block received at time %d)\n",
+ pnode->GetId(), count_seconds(pnode->m_last_block_time));
return true;
} else {
LogPrint(BCLog::NET, "keeping block-relay-only peer=%d chosen for eviction (connect time: %d, blocks_in_flight: %d)\n",
- pnode->GetId(), pnode->nTimeConnected, node_state->nBlocksInFlight);
+ pnode->GetId(), count_seconds(pnode->m_connected), node_state->nBlocksInFlight);
}
return false;
});
@@ -4070,12 +4338,13 @@ void PeerManagerImpl::EvictExtraOutboundPeers(int64_t time_in_seconds)
// Also don't disconnect any peer we're trying to download a
// block from.
CNodeState &state = *State(pnode->GetId());
- if (time_in_seconds - pnode->nTimeConnected > MINIMUM_CONNECT_TIME && state.nBlocksInFlight == 0) {
+ if (now - pnode->m_connected > MINIMUM_CONNECT_TIME && state.nBlocksInFlight == 0) {
LogPrint(BCLog::NET, "disconnecting extra outbound peer=%d (last block announcement received at time %d)\n", pnode->GetId(), oldest_block_announcement);
pnode->fDisconnect = true;
return true;
} else {
- LogPrint(BCLog::NET, "keeping outbound peer=%d chosen for eviction (connect time: %d, blocks_in_flight: %d)\n", pnode->GetId(), pnode->nTimeConnected, state.nBlocksInFlight);
+ LogPrint(BCLog::NET, "keeping outbound peer=%d chosen for eviction (connect time: %d, blocks_in_flight: %d)\n",
+ pnode->GetId(), count_seconds(pnode->m_connected), state.nBlocksInFlight);
return false;
}
});
@@ -4095,36 +4364,37 @@ void PeerManagerImpl::CheckForStaleTipAndEvictPeers()
{
LOCK(cs_main);
- int64_t time_in_seconds = GetTime();
+ auto now{GetTime<std::chrono::seconds>()};
- EvictExtraOutboundPeers(time_in_seconds);
+ EvictExtraOutboundPeers(now);
- if (time_in_seconds > m_stale_tip_check_time) {
+ if (now > m_stale_tip_check_time) {
// Check whether our tip is stale, and if so, allow using an extra
// outbound peer
if (!fImporting && !fReindex && m_connman.GetNetworkActive() && m_connman.GetUseAddrmanOutgoing() && TipMayBeStale()) {
- LogPrintf("Potential stale tip detected, will try using extra outbound peer (last tip update: %d seconds ago)\n", time_in_seconds - m_last_tip_update);
+ LogPrintf("Potential stale tip detected, will try using extra outbound peer (last tip update: %d seconds ago)\n",
+ count_seconds(now - m_last_tip_update.load()));
m_connman.SetTryNewOutboundPeer(true);
} else if (m_connman.GetTryNewOutboundPeer()) {
m_connman.SetTryNewOutboundPeer(false);
}
- m_stale_tip_check_time = time_in_seconds + STALE_CHECK_INTERVAL;
+ m_stale_tip_check_time = now + STALE_CHECK_INTERVAL;
}
- if (!m_initial_sync_finished && CanDirectFetch(m_chainparams.GetConsensus())) {
+ if (!m_initial_sync_finished && CanDirectFetch()) {
m_connman.StartExtraBlockRelayPeers();
m_initial_sync_finished = true;
}
}
-void PeerManagerImpl::MaybeSendPing(CNode& node_to, Peer& peer)
+void PeerManagerImpl::MaybeSendPing(CNode& node_to, Peer& peer, std::chrono::microseconds now)
{
- // Use mockable time for ping timeouts.
- // This means that setmocktime may cause pings to time out.
- auto now = GetTime<std::chrono::microseconds>();
-
- if (m_connman.RunInactivityChecks(node_to) && peer.m_ping_nonce_sent &&
- now > peer.m_ping_start.load() + std::chrono::seconds{TIMEOUT_INTERVAL}) {
+ if (m_connman.ShouldRunInactivityChecks(node_to, std::chrono::duration_cast<std::chrono::seconds>(now)) &&
+ peer.m_ping_nonce_sent &&
+ now > peer.m_ping_start.load() + TIMEOUT_INTERVAL)
+ {
+ // The ping timeout is using mocktime. To disable the check during
+ // testing, increase -peertimeout.
LogPrint(BCLog::NET, "ping timeout: %fs peer=%d\n", 0.000001 * count_microseconds(now - peer.m_ping_start.load()), peer.m_id);
node_to.fDisconnect = true;
return;
@@ -4161,6 +4431,116 @@ void PeerManagerImpl::MaybeSendPing(CNode& node_to, Peer& peer)
}
}
+void PeerManagerImpl::MaybeSendAddr(CNode& node, Peer& peer, std::chrono::microseconds current_time)
+{
+ // Nothing to do for non-address-relay peers
+ if (!peer.m_addr_relay_enabled) return;
+
+ LOCK(peer.m_addr_send_times_mutex);
+ // Periodically advertise our local address to the peer.
+ if (fListen && !m_chainman.ActiveChainstate().IsInitialBlockDownload() &&
+ peer.m_next_local_addr_send < current_time) {
+ // If we've sent before, clear the bloom filter for the peer, so that our
+ // self-announcement will actually go out.
+ // This might be unnecessary if the bloom filter has already rolled
+ // over since our last self-announcement, but there is only a small
+ // bandwidth cost that we can incur by doing this (which happens
+ // once a day on average).
+ if (peer.m_next_local_addr_send != 0us) {
+ peer.m_addr_known->reset();
+ }
+ if (std::optional<CAddress> local_addr = GetLocalAddrForPeer(&node)) {
+ FastRandomContext insecure_rand;
+ PushAddress(peer, *local_addr, insecure_rand);
+ }
+ peer.m_next_local_addr_send = GetExponentialRand(current_time, AVG_LOCAL_ADDRESS_BROADCAST_INTERVAL);
+ }
+
+ // We sent an `addr` message to this peer recently. Nothing more to do.
+ if (current_time <= peer.m_next_addr_send) return;
+
+ peer.m_next_addr_send = GetExponentialRand(current_time, AVG_ADDRESS_BROADCAST_INTERVAL);
+
+ if (!Assume(peer.m_addrs_to_send.size() <= MAX_ADDR_TO_SEND)) {
+ // Should be impossible since we always check size before adding to
+ // m_addrs_to_send. Recover by trimming the vector.
+ peer.m_addrs_to_send.resize(MAX_ADDR_TO_SEND);
+ }
+
+ // Remove addr records that the peer already knows about, and add new
+ // addrs to the m_addr_known filter on the same pass.
+ auto addr_already_known = [&peer](const CAddress& addr) {
+ bool ret = peer.m_addr_known->contains(addr.GetKey());
+ if (!ret) peer.m_addr_known->insert(addr.GetKey());
+ return ret;
+ };
+ peer.m_addrs_to_send.erase(std::remove_if(peer.m_addrs_to_send.begin(), peer.m_addrs_to_send.end(), addr_already_known),
+ peer.m_addrs_to_send.end());
+
+ // No addr messages to send
+ if (peer.m_addrs_to_send.empty()) return;
+
+ const char* msg_type;
+ int make_flags;
+ if (peer.m_wants_addrv2) {
+ msg_type = NetMsgType::ADDRV2;
+ make_flags = ADDRV2_FORMAT;
+ } else {
+ msg_type = NetMsgType::ADDR;
+ make_flags = 0;
+ }
+ m_connman.PushMessage(&node, CNetMsgMaker(node.GetCommonVersion()).Make(make_flags, msg_type, peer.m_addrs_to_send));
+ peer.m_addrs_to_send.clear();
+
+ // we only send the big addr message once
+ if (peer.m_addrs_to_send.capacity() > 40) {
+ peer.m_addrs_to_send.shrink_to_fit();
+ }
+}
+
+void PeerManagerImpl::MaybeSendFeefilter(CNode& pto, std::chrono::microseconds current_time)
+{
+ AssertLockHeld(cs_main);
+
+ if (m_ignore_incoming_txs) return;
+ if (!pto.m_tx_relay) return;
+ if (pto.GetCommonVersion() < FEEFILTER_VERSION) return;
+ // peers with the forcerelay permission should not filter txs to us
+ if (pto.HasPermission(NetPermissionFlags::ForceRelay)) return;
+
+ CAmount currentFilter = m_mempool.GetMinFee(gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000).GetFeePerK();
+ static FeeFilterRounder g_filter_rounder{CFeeRate{DEFAULT_MIN_RELAY_TX_FEE}};
+
+ if (m_chainman.ActiveChainstate().IsInitialBlockDownload()) {
+ // Received tx-inv messages are discarded when the active
+ // chainstate is in IBD, so tell the peer to not send them.
+ currentFilter = MAX_MONEY;
+ } else {
+ static const CAmount MAX_FILTER{g_filter_rounder.round(MAX_MONEY)};
+ if (pto.m_tx_relay->lastSentFeeFilter == MAX_FILTER) {
+ // Send the current filter if we sent MAX_FILTER previously
+ // and made it out of IBD.
+ pto.m_tx_relay->m_next_send_feefilter = 0us;
+ }
+ }
+ if (current_time > pto.m_tx_relay->m_next_send_feefilter) {
+ CAmount filterToSend = g_filter_rounder.round(currentFilter);
+ // We always have a fee filter of at least minRelayTxFee
+ filterToSend = std::max(filterToSend, ::minRelayTxFee.GetFeePerK());
+ if (filterToSend != pto.m_tx_relay->lastSentFeeFilter) {
+ m_connman.PushMessage(&pto, CNetMsgMaker(pto.GetCommonVersion()).Make(NetMsgType::FEEFILTER, filterToSend));
+ pto.m_tx_relay->lastSentFeeFilter = filterToSend;
+ }
+ pto.m_tx_relay->m_next_send_feefilter = GetExponentialRand(current_time, AVG_FEEFILTER_BROADCAST_INTERVAL);
+ }
+ // If the fee filter has changed substantially and it's still more than MAX_FEEFILTER_CHANGE_DELAY
+ // until scheduled broadcast, then move the broadcast to within MAX_FEEFILTER_CHANGE_DELAY.
+ else if (current_time + MAX_FEEFILTER_CHANGE_DELAY < pto.m_tx_relay->m_next_send_feefilter &&
+ (currentFilter < 3 * pto.m_tx_relay->lastSentFeeFilter / 4 || currentFilter > 4 * pto.m_tx_relay->lastSentFeeFilter / 3)) {
+ pto.m_tx_relay->m_next_send_feefilter = current_time + GetRandomDuration<std::chrono::microseconds>(MAX_FEEFILTER_CHANGE_DELAY);
+ }
+}
+
namespace {
class CompareInvMempoolOrder
{
@@ -4182,6 +4562,22 @@ public:
};
}
+bool PeerManagerImpl::SetupAddressRelay(const CNode& node, Peer& peer)
+{
+ // We don't participate in addr relay with outbound block-relay-only
+ // connections to prevent providing adversaries with the additional
+ // information of addr traffic to infer the link.
+ if (node.IsBlockOnlyConn()) return false;
+
+ if (!peer.m_addr_relay_enabled.exchange(true)) {
+ // First addr message we have received from the peer, initialize
+ // m_addr_known
+ peer.m_addr_known = std::make_unique<CRollingBloomFilter>(5000, 0.001);
+ }
+
+ return true;
+}
+
bool PeerManagerImpl::SendMessages(CNode* pto)
{
PeerRef peer = GetPeerRef(pto->GetId());
@@ -4199,82 +4595,29 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
// If we get here, the outgoing message serialization version is set and can't change.
const CNetMsgMaker msgMaker(pto->GetCommonVersion());
- MaybeSendPing(*pto, *peer);
+ const auto current_time{GetTime<std::chrono::microseconds>()};
+
+ if (pto->IsAddrFetchConn() && current_time - pto->m_connected > 10 * AVG_ADDRESS_BROADCAST_INTERVAL) {
+ LogPrint(BCLog::NET, "addrfetch connection timeout; disconnecting peer=%d\n", pto->GetId());
+ pto->fDisconnect = true;
+ return true;
+ }
+
+ MaybeSendPing(*pto, *peer, current_time);
// MaybeSendPing may have marked peer for disconnection
if (pto->fDisconnect) return true;
+ MaybeSendAddr(*pto, *peer, current_time);
+
{
LOCK(cs_main);
CNodeState &state = *State(pto->GetId());
- // Address refresh broadcast
- auto current_time = GetTime<std::chrono::microseconds>();
-
- if (fListen && pto->RelayAddrsWithConn() &&
- !::ChainstateActive().IsInitialBlockDownload() &&
- pto->m_next_local_addr_send < current_time) {
- // If we've sent before, clear the bloom filter for the peer, so that our
- // self-announcement will actually go out.
- // This might be unnecessary if the bloom filter has already rolled
- // over since our last self-announcement, but there is only a small
- // bandwidth cost that we can incur by doing this (which happens
- // once a day on average).
- if (pto->m_next_local_addr_send != 0us) {
- pto->m_addr_known->reset();
- }
- if (Optional<CAddress> local_addr = GetLocalAddrForPeer(pto)) {
- FastRandomContext insecure_rand;
- pto->PushAddress(*local_addr, insecure_rand);
- }
- pto->m_next_local_addr_send = PoissonNextSend(current_time, AVG_LOCAL_ADDRESS_BROADCAST_INTERVAL);
- }
-
- //
- // Message: addr
- //
- if (pto->RelayAddrsWithConn() && pto->m_next_addr_send < current_time) {
- pto->m_next_addr_send = PoissonNextSend(current_time, AVG_ADDRESS_BROADCAST_INTERVAL);
- std::vector<CAddress> vAddr;
- vAddr.reserve(pto->vAddrToSend.size());
- assert(pto->m_addr_known);
-
- const char* msg_type;
- int make_flags;
- if (pto->m_wants_addrv2) {
- msg_type = NetMsgType::ADDRV2;
- make_flags = ADDRV2_FORMAT;
- } else {
- msg_type = NetMsgType::ADDR;
- make_flags = 0;
- }
-
- for (const CAddress& addr : pto->vAddrToSend)
- {
- if (!pto->m_addr_known->contains(addr.GetKey()))
- {
- pto->m_addr_known->insert(addr.GetKey());
- vAddr.push_back(addr);
- // receiver rejects addr messages larger than MAX_ADDR_TO_SEND
- if (vAddr.size() >= MAX_ADDR_TO_SEND)
- {
- m_connman.PushMessage(pto, msgMaker.Make(make_flags, msg_type, vAddr));
- vAddr.clear();
- }
- }
- }
- pto->vAddrToSend.clear();
- if (!vAddr.empty())
- m_connman.PushMessage(pto, msgMaker.Make(make_flags, msg_type, vAddr));
- // we only send the big addr message once
- if (pto->vAddrToSend.capacity() > 40)
- pto->vAddrToSend.shrink_to_fit();
- }
-
// Start block sync
if (pindexBestHeader == nullptr)
- pindexBestHeader = ::ChainActive().Tip();
+ pindexBestHeader = m_chainman.ActiveChain().Tip();
bool fFetch = state.fPreferredDownload || (nPreferredDownload == 0 && !pto->fClient && !pto->IsAddrFetchConn()); // Download if this is a nice peer, or we have no nice peers and this one might do.
if (!state.fSyncStarted && !pto->fClient && !fImporting && !fReindex) {
// Only actively request headers from a single peer, unless we're close to today.
@@ -4299,7 +4642,7 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
if (pindexStart->pprev)
pindexStart = pindexStart->pprev;
LogPrint(BCLog::NET, "initial getheaders (%d) to peer=%d (startheight:%d)\n", pindexStart->nHeight, pto->GetId(), peer->m_starting_height);
- m_connman.PushMessage(pto, msgMaker.Make(NetMsgType::GETHEADERS, ::ChainActive().GetLocator(pindexStart), uint256()));
+ m_connman.PushMessage(pto, msgMaker.Make(NetMsgType::GETHEADERS, m_chainman.ActiveChain().GetLocator(pindexStart), uint256()));
}
}
@@ -4326,11 +4669,11 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
bool fFoundStartingHeader = false;
// Try to find first header that our peer doesn't have, and
// then send all headers past that one. If we come across any
- // headers that aren't on ::ChainActive(), give up.
+ // headers that aren't on m_chainman.ActiveChain(), give up.
for (const uint256& hash : peer->m_blocks_for_headers_relay) {
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ const CBlockIndex* pindex = m_chainman.m_blockman.LookupBlockIndex(hash);
assert(pindex);
- if (::ChainActive()[pindex->nHeight] != pindex) {
+ if (m_chainman.ActiveChain()[pindex->nHeight] != pindex) {
// Bail out if we reorged away from this block
fRevertToInv = true;
break;
@@ -4420,15 +4763,15 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
// in the past.
if (!peer->m_blocks_for_headers_relay.empty()) {
const uint256& hashToAnnounce = peer->m_blocks_for_headers_relay.back();
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(hashToAnnounce);
+ const CBlockIndex* pindex = m_chainman.m_blockman.LookupBlockIndex(hashToAnnounce);
assert(pindex);
// Warn if we're announcing a block that is not on the main chain.
// This should be very rare and could be optimized out.
// Just log for now.
- if (::ChainActive()[pindex->nHeight] != pindex) {
+ if (m_chainman.ActiveChain()[pindex->nHeight] != pindex) {
LogPrint(BCLog::NET, "Announcing block %s not on main chain (tip=%s)\n",
- hashToAnnounce.ToString(), ::ChainActive().Tip()->GetBlockHash().ToString());
+ hashToAnnounce.ToString(), m_chainman.ActiveChain().Tip()->GetBlockHash().ToString());
}
// If the peer's chain has this block, don't inv it back.
@@ -4459,17 +4802,18 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
}
}
peer->m_blocks_for_inv_relay.clear();
+ }
- if (pto->m_tx_relay != nullptr) {
+ if (pto->m_tx_relay != nullptr) {
LOCK(pto->m_tx_relay->cs_tx_inventory);
// Check whether periodic sends should happen
- bool fSendTrickle = pto->HasPermission(PF_NOBAN);
+ bool fSendTrickle = pto->HasPermission(NetPermissionFlags::NoBan);
if (pto->m_tx_relay->nNextInvSend < current_time) {
fSendTrickle = true;
if (pto->IsInboundConn()) {
- pto->m_tx_relay->nNextInvSend = m_connman.PoissonNextSendInbound(current_time, INBOUND_INVENTORY_BROADCAST_INTERVAL);
+ pto->m_tx_relay->nNextInvSend = NextInvToInbounds(current_time, INBOUND_INVENTORY_BROADCAST_INTERVAL);
} else {
- pto->m_tx_relay->nNextInvSend = PoissonNextSend(current_time, OUTBOUND_INVENTORY_BROADCAST_INTERVAL);
+ pto->m_tx_relay->nNextInvSend = GetExponentialRand(current_time, OUTBOUND_INVENTORY_BROADCAST_INTERVAL);
}
}
@@ -4506,7 +4850,7 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
vInv.clear();
}
}
- pto->m_tx_relay->m_last_mempool_req = GetTime<std::chrono::seconds>();
+ pto->m_tx_relay->m_last_mempool_req = std::chrono::duration_cast<std::chrono::seconds>(current_time);
}
// Determine transactions to relay
@@ -4588,13 +4932,11 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
}
}
}
- }
}
if (!vInv.empty())
m_connman.PushMessage(pto, msgMaker.Make(NetMsgType::INV, vInv));
// Detect whether we're stalling
- current_time = GetTime<std::chrono::microseconds>();
if (state.m_stalling_since.count() && state.m_stalling_since < current_time - BLOCK_STALLING_TIMEOUT) {
// Stalling only triggers when the block download window cannot move. During normal steady state,
// the download window should be much larger than the to-be-downloaded set of blocks, so disconnection
@@ -4610,9 +4952,9 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
// to unreasonably increase our timeout.
if (state.vBlocksInFlight.size() > 0) {
QueuedBlock &queuedBlock = state.vBlocksInFlight.front();
- int nOtherPeersWithValidatedDownloads = nPeersWithValidatedDownloads - (state.nBlocksInFlightValidHeaders > 0);
+ int nOtherPeersWithValidatedDownloads = m_peers_downloading_from - 1;
if (current_time > state.m_downloading_since + std::chrono::seconds{consensusParams.nPowTargetSpacing} * (BLOCK_DOWNLOAD_TIMEOUT_BASE + BLOCK_DOWNLOAD_TIMEOUT_PER_PEER * nOtherPeersWithValidatedDownloads)) {
- LogPrintf("Timeout downloading block %s from peer=%d, disconnecting\n", queuedBlock.hash.ToString(), pto->GetId());
+ LogPrintf("Timeout downloading block %s from peer=%d, disconnecting\n", queuedBlock.pindex->GetBlockHash().ToString(), pto->GetId());
pto->fDisconnect = true;
return true;
}
@@ -4622,12 +4964,12 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
// Detect whether this is a stalling initial-headers-sync peer
if (pindexBestHeader->GetBlockTime() <= GetAdjustedTime() - 24 * 60 * 60) {
if (current_time > state.m_headers_sync_timeout && nSyncStarted == 1 && (nPreferredDownload - state.fPreferredDownload >= 1)) {
- // Disconnect a peer (without the noban permission) if it is our only sync peer,
+ // Disconnect a peer (without NetPermissionFlags::NoBan permission) if it is our only sync peer,
// and we have others we could be using instead.
// Note: If all our peers are inbound, then we won't
// disconnect our sync peer for stalling; we have bigger
// problems if we can't get any outbound peers.
- if (!pto->HasPermission(PF_NOBAN)) {
+ if (!pto->HasPermission(NetPermissionFlags::NoBan)) {
LogPrintf("Timeout downloading headers from peer=%d, disconnecting\n", pto->GetId());
pto->fDisconnect = true;
return true;
@@ -4652,20 +4994,20 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
// Check that outbound peers have reasonable chains
// GetTime() is used by this anti-DoS logic so we can test this using mocktime
- ConsiderEviction(*pto, GetTime());
+ ConsiderEviction(*pto, GetTime<std::chrono::seconds>());
//
// Message: getdata (blocks)
//
std::vector<CInv> vGetData;
- if (!pto->fClient && ((fFetch && !pto->m_limited_node) || !::ChainstateActive().IsInitialBlockDownload()) && state.nBlocksInFlight < MAX_BLOCKS_IN_TRANSIT_PER_PEER) {
+ if (!pto->fClient && ((fFetch && !pto->m_limited_node) || !m_chainman.ActiveChainstate().IsInitialBlockDownload()) && state.nBlocksInFlight < MAX_BLOCKS_IN_TRANSIT_PER_PEER) {
std::vector<const CBlockIndex*> vToDownload;
NodeId staller = -1;
FindNextBlocksToDownload(pto->GetId(), MAX_BLOCKS_IN_TRANSIT_PER_PEER - state.nBlocksInFlight, vToDownload, staller);
for (const CBlockIndex *pindex : vToDownload) {
uint32_t nFetchFlags = GetFetchFlags(*pto);
vGetData.push_back(CInv(MSG_BLOCK | nFetchFlags, pindex->GetBlockHash()));
- MarkBlockAsInFlight(pto->GetId(), pindex->GetBlockHash(), pindex);
+ BlockRequested(pto->GetId(), *pindex);
LogPrint(BCLog::NET, "Requesting block %s (%d) peer=%d\n", pindex->GetBlockHash().ToString(),
pindex->nHeight, pto->GetId());
}
@@ -4707,44 +5049,7 @@ bool PeerManagerImpl::SendMessages(CNode* pto)
if (!vGetData.empty())
m_connman.PushMessage(pto, msgMaker.Make(NetMsgType::GETDATA, vGetData));
- //
- // Message: feefilter
- //
- if (pto->m_tx_relay != nullptr && pto->GetCommonVersion() >= FEEFILTER_VERSION && gArgs.GetBoolArg("-feefilter", DEFAULT_FEEFILTER) &&
- !pto->HasPermission(PF_FORCERELAY) // peers with the forcerelay permission should not filter txs to us
- ) {
- CAmount currentFilter = m_mempool.GetMinFee(gArgs.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000).GetFeePerK();
- static FeeFilterRounder g_filter_rounder{CFeeRate{DEFAULT_MIN_RELAY_TX_FEE}};
- if (m_chainman.ActiveChainstate().IsInitialBlockDownload()) {
- // Received tx-inv messages are discarded when the active
- // chainstate is in IBD, so tell the peer to not send them.
- currentFilter = MAX_MONEY;
- } else {
- static const CAmount MAX_FILTER{g_filter_rounder.round(MAX_MONEY)};
- if (pto->m_tx_relay->lastSentFeeFilter == MAX_FILTER) {
- // Send the current filter if we sent MAX_FILTER previously
- // and made it out of IBD.
- pto->m_tx_relay->m_next_send_feefilter = 0us;
- }
- }
- if (current_time > pto->m_tx_relay->m_next_send_feefilter) {
- CAmount filterToSend = g_filter_rounder.round(currentFilter);
- // We always have a fee filter of at least minRelayTxFee
- filterToSend = std::max(filterToSend, ::minRelayTxFee.GetFeePerK());
- if (filterToSend != pto->m_tx_relay->lastSentFeeFilter) {
- m_connman.PushMessage(pto, msgMaker.Make(NetMsgType::FEEFILTER, filterToSend));
- pto->m_tx_relay->lastSentFeeFilter = filterToSend;
- }
- pto->m_tx_relay->m_next_send_feefilter = PoissonNextSend(current_time, AVG_FEEFILTER_BROADCAST_INTERVAL);
- }
- // If the fee filter has changed substantially and it's still more than MAX_FEEFILTER_CHANGE_DELAY
- // until scheduled broadcast, then move the broadcast to within MAX_FEEFILTER_CHANGE_DELAY.
- else if (current_time + MAX_FEEFILTER_CHANGE_DELAY < pto->m_tx_relay->m_next_send_feefilter &&
- (currentFilter < 3 * pto->m_tx_relay->lastSentFeeFilter / 4 || currentFilter > 4 * pto->m_tx_relay->lastSentFeeFilter / 3)) {
- pto->m_tx_relay->m_next_send_feefilter = current_time + GetRandomDuration<std::chrono::microseconds>(MAX_FEEFILTER_CHANGE_DELAY);
- }
- }
+ MaybeSendFeefilter(*pto, current_time);
} // release cs_main
return true;
}
-
diff --git a/src/net_processing.h b/src/net_processing.h
index 6f900410a7..e30f9f516c 100644
--- a/src/net_processing.h
+++ b/src/net_processing.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,15 +7,13 @@
#define BITCOIN_NET_PROCESSING_H
#include <net.h>
-#include <sync.h>
#include <validationinterface.h>
+class AddrMan;
class CChainParams;
class CTxMemPool;
class ChainstateManager;
-extern RecursiveMutex cs_main;
-
/** Default for -maxorphantx, maximum number of orphan transactions kept in memory */
static const unsigned int DEFAULT_MAX_ORPHAN_TRANSACTIONS = 100;
/** Default number of orphan+recently-replaced txn to keep around for block reconstruction */
@@ -31,22 +29,40 @@ struct CNodeStateStats {
int m_starting_height = -1;
std::chrono::microseconds m_ping_wait;
std::vector<int> vHeightInFlight;
+ uint64_t m_addr_processed = 0;
+ uint64_t m_addr_rate_limited = 0;
+ bool m_addr_relay_enabled{false};
};
class PeerManager : public CValidationInterface, public NetEventsInterface
{
public:
- static std::unique_ptr<PeerManager> make(const CChainParams& chainparams, CConnman& connman, BanMan* banman,
- CScheduler& scheduler, ChainstateManager& chainman, CTxMemPool& pool,
- bool ignore_incoming_txs);
+ static std::unique_ptr<PeerManager> make(const CChainParams& chainparams, CConnman& connman, AddrMan& addrman,
+ BanMan* banman, ChainstateManager& chainman,
+ CTxMemPool& pool, bool ignore_incoming_txs);
virtual ~PeerManager() { }
+ /**
+ * Attempt to manually fetch block from a given peer. We must already have the header.
+ *
+ * @param[in] peer_id The peer id
+ * @param[in] block_index The blockindex
+ * @returns std::nullopt if a request was successfully made, otherwise an error message
+ */
+ virtual std::optional<std::string> FetchBlock(NodeId peer_id, const CBlockIndex& block_index) = 0;
+
+ /** Begin running background tasks, should only be called once */
+ virtual void StartScheduledTasks(CScheduler& scheduler) = 0;
+
/** Get statistics from node state */
- virtual bool GetNodeStateStats(NodeId nodeid, CNodeStateStats& stats) = 0;
+ virtual bool GetNodeStateStats(NodeId nodeid, CNodeStateStats& stats) const = 0;
/** Whether this node ignores txs received over p2p. */
virtual bool IgnoresIncomingTxs() = 0;
+ /** Relay transaction to all peers. */
+ virtual void RelayTransaction(const uint256& txid, const uint256& wtxid) = 0;
+
/** Send ping message to all peers */
virtual void SendPings() = 0;
@@ -71,7 +87,4 @@ public:
const std::chrono::microseconds time_received, const std::atomic<bool>& interruptMsgProc) = 0;
};
-/** Relay transaction to every node */
-void RelayTransaction(const uint256& txid, const uint256& wtxid, const CConnman& connman) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
#endif // BITCOIN_NET_PROCESSING_H
diff --git a/src/net_types.cpp b/src/net_types.cpp
new file mode 100644
index 0000000000..e4101a9876
--- /dev/null
+++ b/src/net_types.cpp
@@ -0,0 +1,74 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <net_types.h>
+
+#include <logging.h>
+#include <netaddress.h>
+#include <netbase.h>
+#include <univalue.h>
+
+static const char* BANMAN_JSON_VERSION_KEY{"version"};
+
+CBanEntry::CBanEntry(const UniValue& json)
+ : nVersion(json[BANMAN_JSON_VERSION_KEY].get_int()),
+ nCreateTime(json["ban_created"].get_int64()),
+ nBanUntil(json["banned_until"].get_int64())
+{
+}
+
+UniValue CBanEntry::ToJson() const
+{
+ UniValue json(UniValue::VOBJ);
+ json.pushKV(BANMAN_JSON_VERSION_KEY, nVersion);
+ json.pushKV("ban_created", nCreateTime);
+ json.pushKV("banned_until", nBanUntil);
+ return json;
+}
+
+static const char* BANMAN_JSON_ADDR_KEY = "address";
+
+/**
+ * Convert a `banmap_t` object to a JSON array.
+ * @param[in] bans Bans list to convert.
+ * @return a JSON array, similar to the one returned by the `listbanned` RPC. Suitable for
+ * passing to `BanMapFromJson()`.
+ */
+UniValue BanMapToJson(const banmap_t& bans)
+{
+ UniValue bans_json(UniValue::VARR);
+ for (const auto& it : bans) {
+ const auto& address = it.first;
+ const auto& ban_entry = it.second;
+ UniValue j = ban_entry.ToJson();
+ j.pushKV(BANMAN_JSON_ADDR_KEY, address.ToString());
+ bans_json.push_back(j);
+ }
+ return bans_json;
+}
+
+/**
+ * Convert a JSON array to a `banmap_t` object.
+ * @param[in] bans_json JSON to convert, must be as returned by `BanMapToJson()`.
+ * @param[out] bans Bans list to create from the JSON.
+ * @throws std::runtime_error if the JSON does not have the expected fields or they contain
+ * unparsable values.
+ */
+void BanMapFromJson(const UniValue& bans_json, banmap_t& bans)
+{
+ for (const auto& ban_entry_json : bans_json.getValues()) {
+ const int version{ban_entry_json[BANMAN_JSON_VERSION_KEY].get_int()};
+ if (version != CBanEntry::CURRENT_VERSION) {
+ LogPrintf("Dropping entry with unknown version (%s) from ban list\n", version);
+ continue;
+ }
+ CSubNet subnet;
+ const auto& subnet_str = ban_entry_json[BANMAN_JSON_ADDR_KEY].get_str();
+ if (!LookupSubNet(subnet_str, subnet)) {
+ LogPrintf("Dropping entry with unparseable address or subnet (%s) from ban list\n", subnet_str);
+ continue;
+ }
+ bans.insert_or_assign(subnet, CBanEntry{ban_entry_json});
+ }
+}
diff --git a/src/net_types.h b/src/net_types.h
index d55a8cde6c..b9e019d8fd 100644
--- a/src/net_types.h
+++ b/src/net_types.h
@@ -1,15 +1,60 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_NET_TYPES_H
#define BITCOIN_NET_TYPES_H
+#include <cstdint>
#include <map>
-class CBanEntry;
class CSubNet;
+class UniValue;
+
+class CBanEntry
+{
+public:
+ static constexpr int CURRENT_VERSION{1};
+ int nVersion{CBanEntry::CURRENT_VERSION};
+ int64_t nCreateTime{0};
+ int64_t nBanUntil{0};
+
+ CBanEntry() {}
+
+ explicit CBanEntry(int64_t nCreateTimeIn)
+ : nCreateTime{nCreateTimeIn} {}
+
+ /**
+ * Create a ban entry from JSON.
+ * @param[in] json A JSON representation of a ban entry, as created by `ToJson()`.
+ * @throw std::runtime_error if the JSON does not have the expected fields.
+ */
+ explicit CBanEntry(const UniValue& json);
+
+ /**
+ * Generate a JSON representation of this ban entry.
+ * @return JSON suitable for passing to the `CBanEntry(const UniValue&)` constructor.
+ */
+ UniValue ToJson() const;
+};
using banmap_t = std::map<CSubNet, CBanEntry>;
+/**
+ * Convert a `banmap_t` object to a JSON array.
+ * @param[in] bans Bans list to convert.
+ * @return a JSON array, similar to the one returned by the `listbanned` RPC. Suitable for
+ * passing to `BanMapFromJson()`.
+ */
+UniValue BanMapToJson(const banmap_t& bans);
+
+/**
+ * Convert a JSON array to a `banmap_t` object.
+ * @param[in] bans_json JSON to convert, must be as returned by `BanMapToJson()`.
+ * @param[out] bans Bans list to create from the JSON.
+ * @throws std::runtime_error if the JSON does not have the expected fields or they contain
+ * unparsable values.
+ */
+void BanMapFromJson(const UniValue& bans_json, banmap_t& bans);
+
#endif // BITCOIN_NET_TYPES_H
diff --git a/src/netaddress.cpp b/src/netaddress.cpp
index 69edc15c66..4874b82eca 100644
--- a/src/netaddress.cpp
+++ b/src/netaddress.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -32,14 +32,7 @@ CNetAddr::BIP155Network CNetAddr::GetBIP155Network() const
case NET_IPV6:
return BIP155Network::IPV6;
case NET_ONION:
- switch (m_addr.size()) {
- case ADDR_TORV2_SIZE:
- return BIP155Network::TORV2;
- case ADDR_TORV3_SIZE:
- return BIP155Network::TORV3;
- default:
- assert(false);
- }
+ return BIP155Network::TORV3;
case NET_I2P:
return BIP155Network::I2P;
case NET_CJDNS:
@@ -72,14 +65,6 @@ bool CNetAddr::SetNetFromBIP155Network(uint8_t possible_bip155_net, size_t addre
throw std::ios_base::failure(
strprintf("BIP155 IPv6 address with length %u (should be %u)", address_size,
ADDR_IPV6_SIZE));
- case BIP155Network::TORV2:
- if (address_size == ADDR_TORV2_SIZE) {
- m_net = NET_ONION;
- return true;
- }
- throw std::ios_base::failure(
- strprintf("BIP155 TORv2 address with length %u (should be %u)", address_size,
- ADDR_TORV2_SIZE));
case BIP155Network::TORV3:
if (address_size == ADDR_TORV3_SIZE) {
m_net = NET_ONION;
@@ -130,7 +115,7 @@ void CNetAddr::SetIP(const CNetAddr& ipIn)
assert(ipIn.m_addr.size() == ADDR_IPV6_SIZE);
break;
case NET_ONION:
- assert(ipIn.m_addr.size() == ADDR_TORV2_SIZE || ipIn.m_addr.size() == ADDR_TORV3_SIZE);
+ assert(ipIn.m_addr.size() == ADDR_TORV3_SIZE);
break;
case NET_I2P:
assert(ipIn.m_addr.size() == ADDR_I2P_SIZE);
@@ -161,9 +146,12 @@ void CNetAddr::SetLegacyIPv6(Span<const uint8_t> ipv6)
m_net = NET_IPV4;
skip = sizeof(IPV4_IN_IPV6_PREFIX);
} else if (HasPrefix(ipv6, TORV2_IN_IPV6_PREFIX)) {
- // TORv2-in-IPv6
- m_net = NET_ONION;
- skip = sizeof(TORV2_IN_IPV6_PREFIX);
+ // TORv2-in-IPv6 (unsupported). Unserialize as !IsValid(), thus ignoring them.
+ // Mimic a default-constructed CNetAddr object which is !IsValid() and thus
+ // will not be gossiped, but continue reading next addresses from the stream.
+ m_net = NET_IPV6;
+ m_addr.assign(ADDR_IPV6_SIZE, 0x0);
+ return;
} else if (HasPrefix(ipv6, INTERNAL_IN_IPV6_PREFIX)) {
// Internal-in-IPv6
m_net = NET_INTERNAL;
@@ -177,7 +165,7 @@ void CNetAddr::SetLegacyIPv6(Span<const uint8_t> ipv6)
}
/**
- * Create an "internal" address that represents a name or FQDN. CAddrMan uses
+ * Create an "internal" address that represents a name or FQDN. AddrMan uses
* these fake addresses to keep track of which DNS seeds were used.
* @returns Whether or not the operation was successful.
* @see NET_INTERNAL, INTERNAL_IN_IPV6_PREFIX, CNetAddr::IsInternal(), CNetAddr::IsRFC4193()
@@ -208,7 +196,7 @@ static void Checksum(Span<const uint8_t> addr_pubkey, uint8_t (&checksum)[CHECKS
SHA3_256 hasher;
- hasher.Write(MakeSpan(prefix).first(prefix_len));
+ hasher.Write(Span{prefix}.first(prefix_len));
hasher.Write(addr_pubkey);
hasher.Write(VERSION);
@@ -254,12 +242,7 @@ bool CNetAddr::SetTor(const std::string& addr)
return false;
}
- switch (input.size()) {
- case ADDR_TORV2_SIZE:
- m_net = NET_ONION;
- m_addr.assign(input.begin(), input.end());
- return true;
- case torv3::TOTAL_LEN: {
+ if (input.size() == torv3::TOTAL_LEN) {
Span<const uint8_t> input_pubkey{input.data(), ADDR_TORV3_SIZE};
Span<const uint8_t> input_checksum{input.data() + ADDR_TORV3_SIZE, torv3::CHECKSUM_LEN};
Span<const uint8_t> input_version{input.data() + ADDR_TORV3_SIZE + torv3::CHECKSUM_LEN, sizeof(torv3::VERSION)};
@@ -279,7 +262,6 @@ bool CNetAddr::SetTor(const std::string& addr)
m_addr.assign(input_pubkey.begin(), input_pubkey.end());
return true;
}
- }
return false;
}
@@ -321,7 +303,7 @@ CNetAddr::CNetAddr(const struct in_addr& ipv4Addr)
CNetAddr::CNetAddr(const struct in6_addr& ipv6Addr, const uint32_t scope)
{
- SetLegacyIPv6(Span<const uint8_t>(reinterpret_cast<const uint8_t*>(&ipv6Addr), sizeof(ipv6Addr)));
+ SetLegacyIPv6({reinterpret_cast<const uint8_t*>(&ipv6Addr), sizeof(ipv6Addr)});
m_scope_id = scope;
}
@@ -507,7 +489,7 @@ bool CNetAddr::IsValid() const
*/
bool CNetAddr::IsRoutable() const
{
- return IsValid() && !(IsRFC1918() || IsRFC2544() || IsRFC3927() || IsRFC4862() || IsRFC6598() || IsRFC5737() || (IsRFC4193() && !IsTor()) || IsRFC4843() || IsRFC7343() || IsLocal() || IsInternal());
+ return IsValid() && !(IsRFC1918() || IsRFC2544() || IsRFC3927() || IsRFC4862() || IsRFC6598() || IsRFC5737() || IsRFC4193() || IsRFC4843() || IsRFC7343() || IsLocal() || IsInternal());
}
/**
@@ -528,7 +510,6 @@ bool CNetAddr::IsAddrV1Compatible() const
case NET_INTERNAL:
return true;
case NET_ONION:
- return m_addr.size() == ADDR_TORV2_SIZE;
case NET_I2P:
case NET_CJDNS:
return false;
@@ -551,64 +532,92 @@ enum Network CNetAddr::GetNetwork() const
return m_net;
}
-static std::string IPv6ToString(Span<const uint8_t> a)
+static std::string IPv4ToString(Span<const uint8_t> a)
{
- assert(a.size() == ADDR_IPV6_SIZE);
- // clang-format off
- return strprintf("%x:%x:%x:%x:%x:%x:%x:%x",
- ReadBE16(&a[0]),
- ReadBE16(&a[2]),
- ReadBE16(&a[4]),
- ReadBE16(&a[6]),
- ReadBE16(&a[8]),
- ReadBE16(&a[10]),
- ReadBE16(&a[12]),
- ReadBE16(&a[14]));
- // clang-format on
+ return strprintf("%u.%u.%u.%u", a[0], a[1], a[2], a[3]);
}
-std::string CNetAddr::ToStringIP() const
+// Return an IPv6 address text representation with zero compression as described in RFC 5952
+// ("A Recommendation for IPv6 Address Text Representation").
+static std::string IPv6ToString(Span<const uint8_t> a, uint32_t scope_id)
{
- switch (m_net) {
- case NET_IPV4:
- case NET_IPV6: {
- CService serv(*this, 0);
- struct sockaddr_storage sockaddr;
- socklen_t socklen = sizeof(sockaddr);
- if (serv.GetSockAddr((struct sockaddr*)&sockaddr, &socklen)) {
- char name[1025] = "";
- if (!getnameinfo((const struct sockaddr*)&sockaddr, socklen, name,
- sizeof(name), nullptr, 0, NI_NUMERICHOST))
- return std::string(name);
+ assert(a.size() == ADDR_IPV6_SIZE);
+ const std::array groups{
+ ReadBE16(&a[0]),
+ ReadBE16(&a[2]),
+ ReadBE16(&a[4]),
+ ReadBE16(&a[6]),
+ ReadBE16(&a[8]),
+ ReadBE16(&a[10]),
+ ReadBE16(&a[12]),
+ ReadBE16(&a[14]),
+ };
+
+ // The zero compression implementation is inspired by Rust's std::net::Ipv6Addr, see
+ // https://github.com/rust-lang/rust/blob/cc4103089f40a163f6d143f06359cba7043da29b/library/std/src/net/ip.rs#L1635-L1683
+ struct ZeroSpan {
+ size_t start_index{0};
+ size_t len{0};
+ };
+
+ // Find longest sequence of consecutive all-zero fields. Use first zero sequence if two or more
+ // zero sequences of equal length are found.
+ ZeroSpan longest, current;
+ for (size_t i{0}; i < groups.size(); ++i) {
+ if (groups[i] != 0) {
+ current = {i + 1, 0};
+ continue;
}
- if (m_net == NET_IPV4) {
- return strprintf("%u.%u.%u.%u", m_addr[0], m_addr[1], m_addr[2], m_addr[3]);
+ current.len += 1;
+ if (current.len > longest.len) {
+ longest = current;
}
- return IPv6ToString(m_addr);
}
- case NET_ONION:
- switch (m_addr.size()) {
- case ADDR_TORV2_SIZE:
- return EncodeBase32(m_addr) + ".onion";
- case ADDR_TORV3_SIZE: {
- uint8_t checksum[torv3::CHECKSUM_LEN];
- torv3::Checksum(m_addr, checksum);
+ std::string r;
+ r.reserve(39);
+ for (size_t i{0}; i < groups.size(); ++i) {
+ // Replace the longest sequence of consecutive all-zero fields with two colons ("::").
+ if (longest.len >= 2 && i >= longest.start_index && i < longest.start_index + longest.len) {
+ if (i == longest.start_index) {
+ r += "::";
+ }
+ continue;
+ }
+ r += strprintf("%s%x", ((!r.empty() && r.back() != ':') ? ":" : ""), groups[i]);
+ }
+
+ if (scope_id != 0) {
+ r += strprintf("%%%u", scope_id);
+ }
- // TORv3 onion_address = base32(PUBKEY | CHECKSUM | VERSION) + ".onion"
- prevector<torv3::TOTAL_LEN, uint8_t> address{m_addr.begin(), m_addr.end()};
- address.insert(address.end(), checksum, checksum + torv3::CHECKSUM_LEN);
- address.insert(address.end(), torv3::VERSION, torv3::VERSION + sizeof(torv3::VERSION));
+ return r;
+}
- return EncodeBase32(address) + ".onion";
- }
- default:
- assert(false);
- }
+static std::string OnionToString(Span<const uint8_t> addr)
+{
+ uint8_t checksum[torv3::CHECKSUM_LEN];
+ torv3::Checksum(addr, checksum);
+ // TORv3 onion_address = base32(PUBKEY | CHECKSUM | VERSION) + ".onion"
+ prevector<torv3::TOTAL_LEN, uint8_t> address{addr.begin(), addr.end()};
+ address.insert(address.end(), checksum, checksum + torv3::CHECKSUM_LEN);
+ address.insert(address.end(), torv3::VERSION, torv3::VERSION + sizeof(torv3::VERSION));
+ return EncodeBase32(address) + ".onion";
+}
+
+std::string CNetAddr::ToStringIP() const
+{
+ switch (m_net) {
+ case NET_IPV4:
+ return IPv4ToString(m_addr);
+ case NET_IPV6:
+ return IPv6ToString(m_addr, m_scope_id);
+ case NET_ONION:
+ return OnionToString(m_addr);
case NET_I2P:
return EncodeBase32(m_addr, false /* don't pad with = */) + ".b32.i2p";
case NET_CJDNS:
- return IPv6ToString(m_addr);
+ return IPv6ToString(m_addr, 0);
case NET_INTERNAL:
return EncodeBase32(m_addr) + ".internal";
case NET_UNROUTABLE: // m_net is never and should not be set to NET_UNROUTABLE
@@ -654,7 +663,7 @@ bool CNetAddr::GetInAddr(struct in_addr* pipv4Addr) const
}
/**
- * Try to get our IPv6 address.
+ * Try to get our IPv6 (or CJDNS) address.
*
* @param[out] pipv6Addr The in6_addr struct to which to copy.
*
@@ -665,7 +674,7 @@ bool CNetAddr::GetInAddr(struct in_addr* pipv4Addr) const
*/
bool CNetAddr::GetIn6Addr(struct in6_addr* pipv6Addr) const
{
- if (!IsIPv6()) {
+ if (!IsIPv6() && !IsCJDNS()) {
return false;
}
assert(sizeof(*pipv6Addr) == m_addr.size());
@@ -684,13 +693,13 @@ uint32_t CNetAddr::GetLinkedIPv4() const
return ReadBE32(m_addr.data());
} else if (IsRFC6052() || IsRFC6145()) {
// mapped IPv4, SIIT translated IPv4: the IPv4 address is the last 4 bytes of the address
- return ReadBE32(MakeSpan(m_addr).last(ADDR_IPV4_SIZE).data());
+ return ReadBE32(Span{m_addr}.last(ADDR_IPV4_SIZE).data());
} else if (IsRFC3964()) {
// 6to4 tunneled IPv4: the IPv4 address is in bytes 2-6
- return ReadBE32(MakeSpan(m_addr).subspan(2, ADDR_IPV4_SIZE).data());
+ return ReadBE32(Span{m_addr}.subspan(2, ADDR_IPV4_SIZE).data());
} else if (IsRFC4380()) {
// Teredo tunneled IPv4: the IPv4 address is in the last 4 bytes of the address, but bitflipped
- return ~ReadBE32(MakeSpan(m_addr).last(ADDR_IPV4_SIZE).data());
+ return ~ReadBE32(Span{m_addr}.last(ADDR_IPV4_SIZE).data());
}
assert(false);
}
@@ -785,8 +794,14 @@ std::vector<unsigned char> CNetAddr::GetGroup(const std::vector<bool> &asmap) co
vchRet.push_back((ipv4 >> 24) & 0xFF);
vchRet.push_back((ipv4 >> 16) & 0xFF);
return vchRet;
- } else if (IsTor() || IsI2P() || IsCJDNS()) {
+ } else if (IsTor() || IsI2P()) {
nBits = 4;
+ } else if (IsCJDNS()) {
+ // Treat in the same way as Tor and I2P because the address in all of
+ // them is "random" bytes (derived from a public key). However in CJDNS
+ // the first byte is a constant 0xfc, so the random bytes come after it.
+ // Thus skip the constant 8 bits at the start.
+ nBits = 12;
} else if (IsHeNet()) {
// for he.net, use /36 groups
nBits = 36;
@@ -883,6 +898,11 @@ int CNetAddr::GetReachabilityFrom(const CNetAddr *paddrPartner) const
case NET_I2P: return REACH_PRIVATE;
default: return REACH_DEFAULT;
}
+ case NET_CJDNS:
+ switch (ourNet) {
+ case NET_CJDNS: return REACH_PRIVATE;
+ default: return REACH_DEFAULT;
+ }
case NET_TEREDO:
switch(ourNet) {
default: return REACH_DEFAULT;
@@ -984,7 +1004,7 @@ bool CService::GetSockAddr(struct sockaddr* paddr, socklen_t *addrlen) const
paddrin->sin_port = htons(port);
return true;
}
- if (IsIPv6()) {
+ if (IsIPv6() || IsCJDNS()) {
if (*addrlen < (socklen_t)sizeof(struct sockaddr_in6))
return false;
*addrlen = sizeof(struct sockaddr_in6);
@@ -1233,8 +1253,3 @@ bool operator<(const CSubNet& a, const CSubNet& b)
{
return (a.network < b.network || (a.network == b.network && memcmp(a.netmask, b.netmask, 16) < 0));
}
-
-bool SanityCheckASMap(const std::vector<bool>& asmap)
-{
- return SanityCheckASMap(asmap, 128); // For IP address lookups, the input is 128 bits
-}
diff --git a/src/netaddress.h b/src/netaddress.h
index 897ce46cda..b06b6c65b6 100644
--- a/src/netaddress.h
+++ b/src/netaddress.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,7 +11,9 @@
#include <attributes.h>
#include <compat.h>
+#include <crypto/siphash.h>
#include <prevector.h>
+#include <random.h>
#include <serialize.h>
#include <tinyformat.h>
#include <util/strencodings.h>
@@ -40,8 +42,7 @@ static constexpr int ADDRV2_FORMAT = 0x20000000;
* over all enum values and also `GetExtNetwork()` "extends" this enum by
* introducing standalone constants starting from `NET_MAX`.
*/
-enum Network
-{
+enum Network {
/// Addresses from these networks are not publicly routable on the global Internet.
NET_UNROUTABLE = 0,
@@ -61,7 +62,7 @@ enum Network
NET_CJDNS,
/// A set of addresses that represent the hash of a string or FQDN. We use
- /// them in CAddrMan to keep track of which DNS seeds were used.
+ /// them in AddrMan to keep track of which DNS seeds were used.
NET_INTERNAL,
/// Dummy value to indicate the number of NET_* constants.
@@ -71,16 +72,14 @@ enum Network
/// Prefix of an IPv6 address when it contains an embedded IPv4 address.
/// Used when (un)serializing addresses in ADDRv1 format (pre-BIP155).
static const std::array<uint8_t, 12> IPV4_IN_IPV6_PREFIX{
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF
-};
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF};
/// Prefix of an IPv6 address when it contains an embedded TORv2 address.
/// Used when (un)serializing addresses in ADDRv1 format (pre-BIP155).
/// Such dummy IPv6 addresses are guaranteed to not be publicly routable as they
/// fall under RFC4193's fc00::/7 subnet allocated to unique-local addresses.
static const std::array<uint8_t, 6> TORV2_IN_IPV6_PREFIX{
- 0xFD, 0x87, 0xD8, 0x7E, 0xEB, 0x43
-};
+ 0xFD, 0x87, 0xD8, 0x7E, 0xEB, 0x43};
/// Prefix of an IPv6 address when it contains an embedded "internal" address.
/// Used when (un)serializing addresses in ADDRv1 format (pre-BIP155).
@@ -97,9 +96,6 @@ static constexpr size_t ADDR_IPV4_SIZE = 4;
/// Size of IPv6 address (in bytes).
static constexpr size_t ADDR_IPV6_SIZE = 16;
-/// Size of TORv2 address (in bytes).
-static constexpr size_t ADDR_TORV2_SIZE = 10;
-
/// Size of TORv3 address (in bytes). This is the length of just the address
/// as used in BIP155, without the checksum and the version byte.
static constexpr size_t ADDR_TORV3_SIZE = 32;
@@ -113,472 +109,471 @@ static constexpr size_t ADDR_CJDNS_SIZE = 16;
/// Size of "internal" (NET_INTERNAL) address (in bytes).
static constexpr size_t ADDR_INTERNAL_SIZE = 10;
+/// SAM 3.1 and earlier do not support specifying ports and force the port to 0.
+static constexpr uint16_t I2P_SAM31_PORT{0};
+
/**
* Network address.
*/
class CNetAddr
{
- protected:
- /**
- * Raw representation of the network address.
- * In network byte order (big endian) for IPv4 and IPv6.
- */
- prevector<ADDR_IPV6_SIZE, uint8_t> m_addr{ADDR_IPV6_SIZE, 0x0};
-
- /**
- * Network to which this address belongs.
- */
- Network m_net{NET_IPV6};
-
- /**
- * Scope id if scoped/link-local IPV6 address.
- * See https://tools.ietf.org/html/rfc4007
- */
- uint32_t m_scope_id{0};
-
- public:
- CNetAddr();
- explicit CNetAddr(const struct in_addr& ipv4Addr);
- void SetIP(const CNetAddr& ip);
-
- /**
- * Set from a legacy IPv6 address.
- * Legacy IPv6 address may be a normal IPv6 address, or another address
- * (e.g. IPv4) disguised as IPv6. This encoding is used in the legacy
- * `addr` encoding.
- */
- void SetLegacyIPv6(Span<const uint8_t> ipv6);
-
- bool SetInternal(const std::string& name);
-
- /**
- * Parse a Tor or I2P address and set this object to it.
- * @param[in] addr Address to parse, for example
- * pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion or
- * ukeu3k5oycgaauneqgtnvselmt4yemvoilkln7jpvamvfx7dnkdq.b32.i2p.
- * @returns Whether the operation was successful.
- * @see CNetAddr::IsTor(), CNetAddr::IsI2P()
- */
- bool SetSpecial(const std::string& addr);
-
- bool IsBindAny() const; // INADDR_ANY equivalent
- bool IsIPv4() const; // IPv4 mapped address (::FFFF:0:0/96, 0.0.0.0/0)
- bool IsIPv6() const; // IPv6 address (not mapped IPv4, not Tor)
- bool IsRFC1918() const; // IPv4 private networks (10.0.0.0/8, 192.168.0.0/16, 172.16.0.0/12)
- bool IsRFC2544() const; // IPv4 inter-network communications (198.18.0.0/15)
- bool IsRFC6598() const; // IPv4 ISP-level NAT (100.64.0.0/10)
- bool IsRFC5737() const; // IPv4 documentation addresses (192.0.2.0/24, 198.51.100.0/24, 203.0.113.0/24)
- bool IsRFC3849() const; // IPv6 documentation address (2001:0DB8::/32)
- bool IsRFC3927() const; // IPv4 autoconfig (169.254.0.0/16)
- bool IsRFC3964() const; // IPv6 6to4 tunnelling (2002::/16)
- bool IsRFC4193() const; // IPv6 unique local (FC00::/7)
- bool IsRFC4380() const; // IPv6 Teredo tunnelling (2001::/32)
- bool IsRFC4843() const; // IPv6 ORCHID (deprecated) (2001:10::/28)
- bool IsRFC7343() const; // IPv6 ORCHIDv2 (2001:20::/28)
- bool IsRFC4862() const; // IPv6 autoconfig (FE80::/64)
- bool IsRFC6052() const; // IPv6 well-known prefix for IPv4-embedded address (64:FF9B::/96)
- bool IsRFC6145() const; // IPv6 IPv4-translated address (::FFFF:0:0:0/96) (actually defined in RFC2765)
- bool IsHeNet() const; // IPv6 Hurricane Electric - https://he.net (2001:0470::/36)
- bool IsTor() const;
- bool IsI2P() const;
- bool IsCJDNS() const;
- bool IsLocal() const;
- bool IsRoutable() const;
- bool IsInternal() const;
- bool IsValid() const;
-
- /**
- * Check if the current object can be serialized in pre-ADDRv2/BIP155 format.
- */
- bool IsAddrV1Compatible() const;
-
- enum Network GetNetwork() const;
- std::string ToString() const;
- std::string ToStringIP() const;
- uint64_t GetHash() const;
- bool GetInAddr(struct in_addr* pipv4Addr) const;
- Network GetNetClass() const;
-
- //! For IPv4, mapped IPv4, SIIT translated IPv4, Teredo, 6to4 tunneled addresses, return the relevant IPv4 address as a uint32.
- uint32_t GetLinkedIPv4() const;
- //! Whether this address has a linked IPv4 address (see GetLinkedIPv4()).
- bool HasLinkedIPv4() const;
-
- // The AS on the BGP path to the node we use to diversify
- // peers in AddrMan bucketing based on the AS infrastructure.
- // The ip->AS mapping depends on how asmap is constructed.
- uint32_t GetMappedAS(const std::vector<bool> &asmap) const;
-
- std::vector<unsigned char> GetGroup(const std::vector<bool> &asmap) const;
- std::vector<unsigned char> GetAddrBytes() const;
- int GetReachabilityFrom(const CNetAddr *paddrPartner = nullptr) const;
-
- explicit CNetAddr(const struct in6_addr& pipv6Addr, const uint32_t scope = 0);
- bool GetIn6Addr(struct in6_addr* pipv6Addr) const;
-
- friend bool operator==(const CNetAddr& a, const CNetAddr& b);
- friend bool operator!=(const CNetAddr& a, const CNetAddr& b) { return !(a == b); }
- friend bool operator<(const CNetAddr& a, const CNetAddr& b);
-
- /**
- * Whether this address should be relayed to other peers even if we can't reach it ourselves.
- */
- bool IsRelayable() const
- {
- return IsIPv4() || IsIPv6() || IsTor();
+protected:
+ /**
+ * Raw representation of the network address.
+ * In network byte order (big endian) for IPv4 and IPv6.
+ */
+ prevector<ADDR_IPV6_SIZE, uint8_t> m_addr{ADDR_IPV6_SIZE, 0x0};
+
+ /**
+ * Network to which this address belongs.
+ */
+ Network m_net{NET_IPV6};
+
+ /**
+ * Scope id if scoped/link-local IPV6 address.
+ * See https://tools.ietf.org/html/rfc4007
+ */
+ uint32_t m_scope_id{0};
+
+public:
+ CNetAddr();
+ explicit CNetAddr(const struct in_addr& ipv4Addr);
+ void SetIP(const CNetAddr& ip);
+
+ /**
+ * Set from a legacy IPv6 address.
+ * Legacy IPv6 address may be a normal IPv6 address, or another address
+ * (e.g. IPv4) disguised as IPv6. This encoding is used in the legacy
+ * `addr` encoding.
+ */
+ void SetLegacyIPv6(Span<const uint8_t> ipv6);
+
+ bool SetInternal(const std::string& name);
+
+ /**
+ * Parse a Tor or I2P address and set this object to it.
+ * @param[in] addr Address to parse, for example
+ * pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion or
+ * ukeu3k5oycgaauneqgtnvselmt4yemvoilkln7jpvamvfx7dnkdq.b32.i2p.
+ * @returns Whether the operation was successful.
+ * @see CNetAddr::IsTor(), CNetAddr::IsI2P()
+ */
+ bool SetSpecial(const std::string& addr);
+
+ bool IsBindAny() const; // INADDR_ANY equivalent
+ bool IsIPv4() const; // IPv4 mapped address (::FFFF:0:0/96, 0.0.0.0/0)
+ bool IsIPv6() const; // IPv6 address (not mapped IPv4, not Tor)
+ bool IsRFC1918() const; // IPv4 private networks (10.0.0.0/8, 192.168.0.0/16, 172.16.0.0/12)
+ bool IsRFC2544() const; // IPv4 inter-network communications (198.18.0.0/15)
+ bool IsRFC6598() const; // IPv4 ISP-level NAT (100.64.0.0/10)
+ bool IsRFC5737() const; // IPv4 documentation addresses (192.0.2.0/24, 198.51.100.0/24, 203.0.113.0/24)
+ bool IsRFC3849() const; // IPv6 documentation address (2001:0DB8::/32)
+ bool IsRFC3927() const; // IPv4 autoconfig (169.254.0.0/16)
+ bool IsRFC3964() const; // IPv6 6to4 tunnelling (2002::/16)
+ bool IsRFC4193() const; // IPv6 unique local (FC00::/7)
+ bool IsRFC4380() const; // IPv6 Teredo tunnelling (2001::/32)
+ bool IsRFC4843() const; // IPv6 ORCHID (deprecated) (2001:10::/28)
+ bool IsRFC7343() const; // IPv6 ORCHIDv2 (2001:20::/28)
+ bool IsRFC4862() const; // IPv6 autoconfig (FE80::/64)
+ bool IsRFC6052() const; // IPv6 well-known prefix for IPv4-embedded address (64:FF9B::/96)
+ bool IsRFC6145() const; // IPv6 IPv4-translated address (::FFFF:0:0:0/96) (actually defined in RFC2765)
+ bool IsHeNet() const; // IPv6 Hurricane Electric - https://he.net (2001:0470::/36)
+ bool IsTor() const;
+ bool IsI2P() const;
+ bool IsCJDNS() const;
+ bool IsLocal() const;
+ bool IsRoutable() const;
+ bool IsInternal() const;
+ bool IsValid() const;
+
+ /**
+ * Check if the current object can be serialized in pre-ADDRv2/BIP155 format.
+ */
+ bool IsAddrV1Compatible() const;
+
+ enum Network GetNetwork() const;
+ std::string ToString() const;
+ std::string ToStringIP() const;
+ uint64_t GetHash() const;
+ bool GetInAddr(struct in_addr* pipv4Addr) const;
+ Network GetNetClass() const;
+
+ //! For IPv4, mapped IPv4, SIIT translated IPv4, Teredo, 6to4 tunneled addresses, return the relevant IPv4 address as a uint32.
+ uint32_t GetLinkedIPv4() const;
+ //! Whether this address has a linked IPv4 address (see GetLinkedIPv4()).
+ bool HasLinkedIPv4() const;
+
+ // The AS on the BGP path to the node we use to diversify
+ // peers in AddrMan bucketing based on the AS infrastructure.
+ // The ip->AS mapping depends on how asmap is constructed.
+ uint32_t GetMappedAS(const std::vector<bool>& asmap) const;
+
+ std::vector<unsigned char> GetGroup(const std::vector<bool>& asmap) const;
+ std::vector<unsigned char> GetAddrBytes() const;
+ int GetReachabilityFrom(const CNetAddr* paddrPartner = nullptr) const;
+
+ explicit CNetAddr(const struct in6_addr& pipv6Addr, const uint32_t scope = 0);
+ bool GetIn6Addr(struct in6_addr* pipv6Addr) const;
+
+ friend bool operator==(const CNetAddr& a, const CNetAddr& b);
+ friend bool operator!=(const CNetAddr& a, const CNetAddr& b) { return !(a == b); }
+ friend bool operator<(const CNetAddr& a, const CNetAddr& b);
+
+ /**
+ * Whether this address should be relayed to other peers even if we can't reach it ourselves.
+ */
+ bool IsRelayable() const
+ {
+ return IsIPv4() || IsIPv6() || IsTor() || IsI2P() || IsCJDNS();
+ }
+
+ /**
+ * Serialize to a stream.
+ */
+ template <typename Stream>
+ void Serialize(Stream& s) const
+ {
+ if (s.GetVersion() & ADDRV2_FORMAT) {
+ SerializeV2Stream(s);
+ } else {
+ SerializeV1Stream(s);
}
-
- /**
- * Serialize to a stream.
- */
- template <typename Stream>
- void Serialize(Stream& s) const
- {
- if (s.GetVersion() & ADDRV2_FORMAT) {
- SerializeV2Stream(s);
- } else {
- SerializeV1Stream(s);
- }
+ }
+
+ /**
+ * Unserialize from a stream.
+ */
+ template <typename Stream>
+ void Unserialize(Stream& s)
+ {
+ if (s.GetVersion() & ADDRV2_FORMAT) {
+ UnserializeV2Stream(s);
+ } else {
+ UnserializeV1Stream(s);
}
-
- /**
- * Unserialize from a stream.
- */
- template <typename Stream>
- void Unserialize(Stream& s)
- {
- if (s.GetVersion() & ADDRV2_FORMAT) {
- UnserializeV2Stream(s);
- } else {
- UnserializeV1Stream(s);
- }
+ }
+
+ friend class CSubNet;
+
+private:
+ /**
+ * Parse a Tor address and set this object to it.
+ * @param[in] addr Address to parse, must be a valid C string, for example
+ * pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion.
+ * @returns Whether the operation was successful.
+ * @see CNetAddr::IsTor()
+ */
+ bool SetTor(const std::string& addr);
+
+ /**
+ * Parse an I2P address and set this object to it.
+ * @param[in] addr Address to parse, must be a valid C string, for example
+ * ukeu3k5oycgaauneqgtnvselmt4yemvoilkln7jpvamvfx7dnkdq.b32.i2p.
+ * @returns Whether the operation was successful.
+ * @see CNetAddr::IsI2P()
+ */
+ bool SetI2P(const std::string& addr);
+
+ /**
+ * BIP155 network ids recognized by this software.
+ */
+ enum BIP155Network : uint8_t {
+ IPV4 = 1,
+ IPV6 = 2,
+ TORV2 = 3,
+ TORV3 = 4,
+ I2P = 5,
+ CJDNS = 6,
+ };
+
+ /**
+ * Size of CNetAddr when serialized as ADDRv1 (pre-BIP155) (in bytes).
+ */
+ static constexpr size_t V1_SERIALIZATION_SIZE = ADDR_IPV6_SIZE;
+
+ /**
+ * Maximum size of an address as defined in BIP155 (in bytes).
+ * This is only the size of the address, not the entire CNetAddr object
+ * when serialized.
+ */
+ static constexpr size_t MAX_ADDRV2_SIZE = 512;
+
+ /**
+ * Get the BIP155 network id of this address.
+ * Must not be called for IsInternal() objects.
+ * @returns BIP155 network id, except TORV2 which is no longer supported.
+ */
+ BIP155Network GetBIP155Network() const;
+
+ /**
+ * Set `m_net` from the provided BIP155 network id and size after validation.
+ * @retval true the network was recognized, is valid and `m_net` was set
+ * @retval false not recognised (from future?) and should be silently ignored
+ * @throws std::ios_base::failure if the network is one of the BIP155 founding
+ * networks (id 1..6) with wrong address size.
+ */
+ bool SetNetFromBIP155Network(uint8_t possible_bip155_net, size_t address_size);
+
+ /**
+ * Serialize in pre-ADDRv2/BIP155 format to an array.
+ */
+ void SerializeV1Array(uint8_t (&arr)[V1_SERIALIZATION_SIZE]) const
+ {
+ size_t prefix_size;
+
+ switch (m_net) {
+ case NET_IPV6:
+ assert(m_addr.size() == sizeof(arr));
+ memcpy(arr, m_addr.data(), m_addr.size());
+ return;
+ case NET_IPV4:
+ prefix_size = sizeof(IPV4_IN_IPV6_PREFIX);
+ assert(prefix_size + m_addr.size() == sizeof(arr));
+ memcpy(arr, IPV4_IN_IPV6_PREFIX.data(), prefix_size);
+ memcpy(arr + prefix_size, m_addr.data(), m_addr.size());
+ return;
+ case NET_INTERNAL:
+ prefix_size = sizeof(INTERNAL_IN_IPV6_PREFIX);
+ assert(prefix_size + m_addr.size() == sizeof(arr));
+ memcpy(arr, INTERNAL_IN_IPV6_PREFIX.data(), prefix_size);
+ memcpy(arr + prefix_size, m_addr.data(), m_addr.size());
+ return;
+ case NET_ONION:
+ case NET_I2P:
+ case NET_CJDNS:
+ break;
+ case NET_UNROUTABLE:
+ case NET_MAX:
+ assert(false);
+ } // no default case, so the compiler can warn about missing cases
+
+ // Serialize ONION, I2P and CJDNS as all-zeros.
+ memset(arr, 0x0, V1_SERIALIZATION_SIZE);
+ }
+
+ /**
+ * Serialize in pre-ADDRv2/BIP155 format to a stream.
+ */
+ template <typename Stream>
+ void SerializeV1Stream(Stream& s) const
+ {
+ uint8_t serialized[V1_SERIALIZATION_SIZE];
+
+ SerializeV1Array(serialized);
+
+ s << serialized;
+ }
+
+ /**
+ * Serialize as ADDRv2 / BIP155.
+ */
+ template <typename Stream>
+ void SerializeV2Stream(Stream& s) const
+ {
+ if (IsInternal()) {
+ // Serialize NET_INTERNAL as embedded in IPv6. We need to
+ // serialize such addresses from addrman.
+ s << static_cast<uint8_t>(BIP155Network::IPV6);
+ s << COMPACTSIZE(ADDR_IPV6_SIZE);
+ SerializeV1Stream(s);
+ return;
}
- friend class CSubNet;
-
- private:
- /**
- * Parse a Tor address and set this object to it.
- * @param[in] addr Address to parse, must be a valid C string, for example
- * pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion or
- * 6hzph5hv6337r6p2.onion.
- * @returns Whether the operation was successful.
- * @see CNetAddr::IsTor()
- */
- bool SetTor(const std::string& addr);
-
- /**
- * Parse an I2P address and set this object to it.
- * @param[in] addr Address to parse, must be a valid C string, for example
- * ukeu3k5oycgaauneqgtnvselmt4yemvoilkln7jpvamvfx7dnkdq.b32.i2p.
- * @returns Whether the operation was successful.
- * @see CNetAddr::IsI2P()
- */
- bool SetI2P(const std::string& addr);
-
- /**
- * BIP155 network ids recognized by this software.
- */
- enum BIP155Network : uint8_t {
- IPV4 = 1,
- IPV6 = 2,
- TORV2 = 3,
- TORV3 = 4,
- I2P = 5,
- CJDNS = 6,
- };
-
- /**
- * Size of CNetAddr when serialized as ADDRv1 (pre-BIP155) (in bytes).
- */
- static constexpr size_t V1_SERIALIZATION_SIZE = ADDR_IPV6_SIZE;
-
- /**
- * Maximum size of an address as defined in BIP155 (in bytes).
- * This is only the size of the address, not the entire CNetAddr object
- * when serialized.
- */
- static constexpr size_t MAX_ADDRV2_SIZE = 512;
-
- /**
- * Get the BIP155 network id of this address.
- * Must not be called for IsInternal() objects.
- * @returns BIP155 network id
- */
- BIP155Network GetBIP155Network() const;
-
- /**
- * Set `m_net` from the provided BIP155 network id and size after validation.
- * @retval true the network was recognized, is valid and `m_net` was set
- * @retval false not recognised (from future?) and should be silently ignored
- * @throws std::ios_base::failure if the network is one of the BIP155 founding
- * networks (id 1..6) with wrong address size.
- */
- bool SetNetFromBIP155Network(uint8_t possible_bip155_net, size_t address_size);
-
- /**
- * Serialize in pre-ADDRv2/BIP155 format to an array.
- */
- void SerializeV1Array(uint8_t (&arr)[V1_SERIALIZATION_SIZE]) const
- {
- size_t prefix_size;
-
- switch (m_net) {
- case NET_IPV6:
- assert(m_addr.size() == sizeof(arr));
- memcpy(arr, m_addr.data(), m_addr.size());
- return;
- case NET_IPV4:
- prefix_size = sizeof(IPV4_IN_IPV6_PREFIX);
- assert(prefix_size + m_addr.size() == sizeof(arr));
- memcpy(arr, IPV4_IN_IPV6_PREFIX.data(), prefix_size);
- memcpy(arr + prefix_size, m_addr.data(), m_addr.size());
- return;
- case NET_ONION:
- if (m_addr.size() == ADDR_TORV3_SIZE) {
- break;
- }
- prefix_size = sizeof(TORV2_IN_IPV6_PREFIX);
- assert(prefix_size + m_addr.size() == sizeof(arr));
- memcpy(arr, TORV2_IN_IPV6_PREFIX.data(), prefix_size);
- memcpy(arr + prefix_size, m_addr.data(), m_addr.size());
- return;
- case NET_INTERNAL:
- prefix_size = sizeof(INTERNAL_IN_IPV6_PREFIX);
- assert(prefix_size + m_addr.size() == sizeof(arr));
- memcpy(arr, INTERNAL_IN_IPV6_PREFIX.data(), prefix_size);
- memcpy(arr + prefix_size, m_addr.data(), m_addr.size());
- return;
- case NET_I2P:
- break;
- case NET_CJDNS:
- break;
- case NET_UNROUTABLE:
- case NET_MAX:
- assert(false);
- } // no default case, so the compiler can warn about missing cases
-
- // Serialize TORv3, I2P and CJDNS as all-zeros.
- memset(arr, 0x0, V1_SERIALIZATION_SIZE);
+ s << static_cast<uint8_t>(GetBIP155Network());
+ s << m_addr;
+ }
+
+ /**
+ * Unserialize from a pre-ADDRv2/BIP155 format from an array.
+ *
+ * This function is only called from UnserializeV1Stream() and is a wrapper
+ * for SetLegacyIPv6(); however, we keep it for symmetry with
+ * SerializeV1Array() to have pairs of ser/unser functions and to make clear
+ * that if one is altered, a corresponding reverse modification should be
+ * applied to the other.
+ */
+ void UnserializeV1Array(uint8_t (&arr)[V1_SERIALIZATION_SIZE])
+ {
+ // Use SetLegacyIPv6() so that m_net is set correctly. For example
+ // ::FFFF:0102:0304 should be set as m_net=NET_IPV4 (1.2.3.4).
+ SetLegacyIPv6(arr);
+ }
+
+ /**
+ * Unserialize from a pre-ADDRv2/BIP155 format from a stream.
+ */
+ template <typename Stream>
+ void UnserializeV1Stream(Stream& s)
+ {
+ uint8_t serialized[V1_SERIALIZATION_SIZE];
+
+ s >> serialized;
+
+ UnserializeV1Array(serialized);
+ }
+
+ /**
+ * Unserialize from a ADDRv2 / BIP155 format.
+ */
+ template <typename Stream>
+ void UnserializeV2Stream(Stream& s)
+ {
+ uint8_t bip155_net;
+ s >> bip155_net;
+
+ size_t address_size;
+ s >> COMPACTSIZE(address_size);
+
+ if (address_size > MAX_ADDRV2_SIZE) {
+ throw std::ios_base::failure(strprintf(
+ "Address too long: %u > %u", address_size, MAX_ADDRV2_SIZE));
}
- /**
- * Serialize in pre-ADDRv2/BIP155 format to a stream.
- */
- template <typename Stream>
- void SerializeV1Stream(Stream& s) const
- {
- uint8_t serialized[V1_SERIALIZATION_SIZE];
-
- SerializeV1Array(serialized);
+ m_scope_id = 0;
- s << serialized;
- }
+ if (SetNetFromBIP155Network(bip155_net, address_size)) {
+ m_addr.resize(address_size);
+ s >> Span{m_addr};
- /**
- * Serialize as ADDRv2 / BIP155.
- */
- template <typename Stream>
- void SerializeV2Stream(Stream& s) const
- {
- if (IsInternal()) {
- // Serialize NET_INTERNAL as embedded in IPv6. We need to
- // serialize such addresses from addrman.
- s << static_cast<uint8_t>(BIP155Network::IPV6);
- s << COMPACTSIZE(ADDR_IPV6_SIZE);
- SerializeV1Stream(s);
+ if (m_net != NET_IPV6) {
return;
}
- s << static_cast<uint8_t>(GetBIP155Network());
- s << m_addr;
- }
-
- /**
- * Unserialize from a pre-ADDRv2/BIP155 format from an array.
- */
- void UnserializeV1Array(uint8_t (&arr)[V1_SERIALIZATION_SIZE])
- {
- // Use SetLegacyIPv6() so that m_net is set correctly. For example
- // ::FFFF:0102:0304 should be set as m_net=NET_IPV4 (1.2.3.4).
- SetLegacyIPv6(arr);
- }
-
- /**
- * Unserialize from a pre-ADDRv2/BIP155 format from a stream.
- */
- template <typename Stream>
- void UnserializeV1Stream(Stream& s)
- {
- uint8_t serialized[V1_SERIALIZATION_SIZE];
+ // Do some special checks on IPv6 addresses.
- s >> serialized;
-
- UnserializeV1Array(serialized);
- }
-
- /**
- * Unserialize from a ADDRv2 / BIP155 format.
- */
- template <typename Stream>
- void UnserializeV2Stream(Stream& s)
- {
- uint8_t bip155_net;
- s >> bip155_net;
-
- size_t address_size;
- s >> COMPACTSIZE(address_size);
-
- if (address_size > MAX_ADDRV2_SIZE) {
- throw std::ios_base::failure(strprintf(
- "Address too long: %u > %u", address_size, MAX_ADDRV2_SIZE));
+ // Recognize NET_INTERNAL embedded in IPv6, such addresses are not
+ // gossiped but could be coming from addrman, when unserializing from
+ // disk.
+ if (HasPrefix(m_addr, INTERNAL_IN_IPV6_PREFIX)) {
+ m_net = NET_INTERNAL;
+ memmove(m_addr.data(), m_addr.data() + INTERNAL_IN_IPV6_PREFIX.size(),
+ ADDR_INTERNAL_SIZE);
+ m_addr.resize(ADDR_INTERNAL_SIZE);
+ return;
}
- m_scope_id = 0;
-
- if (SetNetFromBIP155Network(bip155_net, address_size)) {
- m_addr.resize(address_size);
- s >> MakeSpan(m_addr);
-
- if (m_net != NET_IPV6) {
- return;
- }
-
- // Do some special checks on IPv6 addresses.
-
- // Recognize NET_INTERNAL embedded in IPv6, such addresses are not
- // gossiped but could be coming from addrman, when unserializing from
- // disk.
- if (HasPrefix(m_addr, INTERNAL_IN_IPV6_PREFIX)) {
- m_net = NET_INTERNAL;
- memmove(m_addr.data(), m_addr.data() + INTERNAL_IN_IPV6_PREFIX.size(),
- ADDR_INTERNAL_SIZE);
- m_addr.resize(ADDR_INTERNAL_SIZE);
- return;
- }
-
- if (!HasPrefix(m_addr, IPV4_IN_IPV6_PREFIX) &&
- !HasPrefix(m_addr, TORV2_IN_IPV6_PREFIX)) {
- return;
- }
-
- // IPv4 and TORv2 are not supposed to be embedded in IPv6 (like in V1
- // encoding). Unserialize as !IsValid(), thus ignoring them.
- } else {
- // If we receive an unknown BIP155 network id (from the future?) then
- // ignore the address - unserialize as !IsValid().
- s.ignore(address_size);
+ if (!HasPrefix(m_addr, IPV4_IN_IPV6_PREFIX) &&
+ !HasPrefix(m_addr, TORV2_IN_IPV6_PREFIX)) {
+ return;
}
- // Mimic a default-constructed CNetAddr object which is !IsValid() and thus
- // will not be gossiped, but continue reading next addresses from the stream.
- m_net = NET_IPV6;
- m_addr.assign(ADDR_IPV6_SIZE, 0x0);
+ // IPv4 and TORv2 are not supposed to be embedded in IPv6 (like in V1
+ // encoding). Unserialize as !IsValid(), thus ignoring them.
+ } else {
+ // If we receive an unknown BIP155 network id (from the future?) then
+ // ignore the address - unserialize as !IsValid().
+ s.ignore(address_size);
}
+
+ // Mimic a default-constructed CNetAddr object which is !IsValid() and thus
+ // will not be gossiped, but continue reading next addresses from the stream.
+ m_net = NET_IPV6;
+ m_addr.assign(ADDR_IPV6_SIZE, 0x0);
+ }
};
class CSubNet
{
- protected:
- /// Network (base) address
- CNetAddr network;
- /// Netmask, in network byte order
- uint8_t netmask[16];
- /// Is this value valid? (only used to signal parse errors)
- bool valid;
-
- bool SanityCheck() const;
-
- public:
- /**
- * Construct an invalid subnet (empty, `Match()` always returns false).
- */
- CSubNet();
-
- /**
- * Construct from a given network start and number of bits (CIDR mask).
- * @param[in] addr Network start. Must be IPv4 or IPv6, otherwise an invalid subnet is
- * created.
- * @param[in] mask CIDR mask, must be in [0, 32] for IPv4 addresses and in [0, 128] for
- * IPv6 addresses. Otherwise an invalid subnet is created.
- */
- CSubNet(const CNetAddr& addr, uint8_t mask);
-
- /**
- * Construct from a given network start and mask.
- * @param[in] addr Network start. Must be IPv4 or IPv6, otherwise an invalid subnet is
- * created.
- * @param[in] mask Network mask, must be of the same type as `addr` and not contain 0-bits
- * followed by 1-bits. Otherwise an invalid subnet is created.
- */
- CSubNet(const CNetAddr& addr, const CNetAddr& mask);
-
- /**
- * Construct a single-host subnet.
- * @param[in] addr The sole address to be contained in the subnet, can also be non-IPv[46].
- */
- explicit CSubNet(const CNetAddr& addr);
-
- bool Match(const CNetAddr &addr) const;
-
- std::string ToString() const;
- bool IsValid() const;
-
- friend bool operator==(const CSubNet& a, const CSubNet& b);
- friend bool operator!=(const CSubNet& a, const CSubNet& b) { return !(a == b); }
- friend bool operator<(const CSubNet& a, const CSubNet& b);
-
- SERIALIZE_METHODS(CSubNet, obj)
- {
- READWRITE(obj.network);
- if (obj.network.IsIPv4()) {
- // Before commit 102867c587f5f7954232fb8ed8e85cda78bb4d32, CSubNet used the last 4 bytes of netmask
- // to store the relevant bytes for an IPv4 mask. For compatibility reasons, keep doing so in
- // serialized form.
- unsigned char dummy[12] = {0};
- READWRITE(dummy);
- READWRITE(MakeSpan(obj.netmask).first(4));
- } else {
- READWRITE(obj.netmask);
- }
- READWRITE(obj.valid);
- // Mark invalid if the result doesn't pass sanity checking.
- SER_READ(obj, if (obj.valid) obj.valid = obj.SanityCheck());
- }
+protected:
+ /// Network (base) address
+ CNetAddr network;
+ /// Netmask, in network byte order
+ uint8_t netmask[16];
+ /// Is this value valid? (only used to signal parse errors)
+ bool valid;
+
+ bool SanityCheck() const;
+
+public:
+ /**
+ * Construct an invalid subnet (empty, `Match()` always returns false).
+ */
+ CSubNet();
+
+ /**
+ * Construct from a given network start and number of bits (CIDR mask).
+ * @param[in] addr Network start. Must be IPv4 or IPv6, otherwise an invalid subnet is
+ * created.
+ * @param[in] mask CIDR mask, must be in [0, 32] for IPv4 addresses and in [0, 128] for
+ * IPv6 addresses. Otherwise an invalid subnet is created.
+ */
+ CSubNet(const CNetAddr& addr, uint8_t mask);
+
+ /**
+ * Construct from a given network start and mask.
+ * @param[in] addr Network start. Must be IPv4 or IPv6, otherwise an invalid subnet is
+ * created.
+ * @param[in] mask Network mask, must be of the same type as `addr` and not contain 0-bits
+ * followed by 1-bits. Otherwise an invalid subnet is created.
+ */
+ CSubNet(const CNetAddr& addr, const CNetAddr& mask);
+
+ /**
+ * Construct a single-host subnet.
+ * @param[in] addr The sole address to be contained in the subnet, can also be non-IPv[46].
+ */
+ explicit CSubNet(const CNetAddr& addr);
+
+ bool Match(const CNetAddr& addr) const;
+
+ std::string ToString() const;
+ bool IsValid() const;
+
+ friend bool operator==(const CSubNet& a, const CSubNet& b);
+ friend bool operator!=(const CSubNet& a, const CSubNet& b) { return !(a == b); }
+ friend bool operator<(const CSubNet& a, const CSubNet& b);
};
/** A combination of a network address (CNetAddr) and a (TCP) port */
class CService : public CNetAddr
{
- protected:
- uint16_t port; // host order
-
- public:
- CService();
- CService(const CNetAddr& ip, uint16_t port);
- CService(const struct in_addr& ipv4Addr, uint16_t port);
- explicit CService(const struct sockaddr_in& addr);
- uint16_t GetPort() const;
- bool GetSockAddr(struct sockaddr* paddr, socklen_t *addrlen) const;
- bool SetSockAddr(const struct sockaddr* paddr);
- friend bool operator==(const CService& a, const CService& b);
- friend bool operator!=(const CService& a, const CService& b) { return !(a == b); }
- friend bool operator<(const CService& a, const CService& b);
- std::vector<unsigned char> GetKey() const;
- std::string ToString() const;
- std::string ToStringPort() const;
- std::string ToStringIPPort() const;
-
- CService(const struct in6_addr& ipv6Addr, uint16_t port);
- explicit CService(const struct sockaddr_in6& addr);
-
- SERIALIZE_METHODS(CService, obj)
- {
- READWRITEAS(CNetAddr, obj);
- READWRITE(Using<BigEndianFormatter<2>>(obj.port));
- }
+protected:
+ uint16_t port; // host order
+
+public:
+ CService();
+ CService(const CNetAddr& ip, uint16_t port);
+ CService(const struct in_addr& ipv4Addr, uint16_t port);
+ explicit CService(const struct sockaddr_in& addr);
+ uint16_t GetPort() const;
+ bool GetSockAddr(struct sockaddr* paddr, socklen_t* addrlen) const;
+ bool SetSockAddr(const struct sockaddr* paddr);
+ friend bool operator==(const CService& a, const CService& b);
+ friend bool operator!=(const CService& a, const CService& b) { return !(a == b); }
+ friend bool operator<(const CService& a, const CService& b);
+ std::vector<unsigned char> GetKey() const;
+ std::string ToString() const;
+ std::string ToStringPort() const;
+ std::string ToStringIPPort() const;
+
+ CService(const struct in6_addr& ipv6Addr, uint16_t port);
+ explicit CService(const struct sockaddr_in6& addr);
+
+ SERIALIZE_METHODS(CService, obj)
+ {
+ READWRITEAS(CNetAddr, obj);
+ READWRITE(Using<BigEndianFormatter<2>>(obj.port));
+ }
+
+ friend class CServiceHash;
+ friend CService MaybeFlipIPv6toCJDNS(const CService& service);
};
-bool SanityCheckASMap(const std::vector<bool>& asmap);
+class CServiceHash
+{
+public:
+ size_t operator()(const CService& a) const noexcept
+ {
+ CSipHasher hasher(m_salt_k0, m_salt_k1);
+ hasher.Write(a.m_net);
+ hasher.Write(a.port);
+ hasher.Write(a.m_addr.data(), a.m_addr.size());
+ return static_cast<size_t>(hasher.Finalize());
+ }
+
+private:
+ const uint64_t m_salt_k0 = GetRand(std::numeric_limits<uint64_t>::max());
+ const uint64_t m_salt_k1 = GetRand(std::numeric_limits<uint64_t>::max());
+};
#endif // BITCOIN_NETADDRESS_H
diff --git a/src/netbase.cpp b/src/netbase.cpp
index 88c36ed86c..87014a0644 100644
--- a/src/netbase.cpp
+++ b/src/netbase.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -23,8 +23,6 @@
#ifndef WIN32
#include <fcntl.h>
-#else
-#include <codecvt>
#endif
#ifdef USE_POLL
@@ -42,6 +40,50 @@ bool fNameLookup = DEFAULT_NAME_LOOKUP;
int g_socks5_recv_timeout = 20 * 1000;
static std::atomic<bool> interruptSocks5Recv(false);
+std::vector<CNetAddr> WrappedGetAddrInfo(const std::string& name, bool allow_lookup)
+{
+ addrinfo ai_hint{};
+ // We want a TCP port, which is a streaming socket type
+ ai_hint.ai_socktype = SOCK_STREAM;
+ ai_hint.ai_protocol = IPPROTO_TCP;
+ // We don't care which address family (IPv4 or IPv6) is returned
+ ai_hint.ai_family = AF_UNSPEC;
+ // If we allow lookups of hostnames, use the AI_ADDRCONFIG flag to only
+ // return addresses whose family we have an address configured for.
+ //
+ // If we don't allow lookups, then use the AI_NUMERICHOST flag for
+ // getaddrinfo to only decode numerical network addresses and suppress
+ // hostname lookups.
+ ai_hint.ai_flags = allow_lookup ? AI_ADDRCONFIG : AI_NUMERICHOST;
+
+ addrinfo* ai_res{nullptr};
+ const int n_err{getaddrinfo(name.c_str(), nullptr, &ai_hint, &ai_res)};
+ if (n_err != 0) {
+ return {};
+ }
+
+ // Traverse the linked list starting with ai_trav.
+ addrinfo* ai_trav{ai_res};
+ std::vector<CNetAddr> resolved_addresses;
+ while (ai_trav != nullptr) {
+ if (ai_trav->ai_family == AF_INET) {
+ assert(ai_trav->ai_addrlen >= sizeof(sockaddr_in));
+ resolved_addresses.emplace_back(reinterpret_cast<sockaddr_in*>(ai_trav->ai_addr)->sin_addr);
+ }
+ if (ai_trav->ai_family == AF_INET6) {
+ assert(ai_trav->ai_addrlen >= sizeof(sockaddr_in6));
+ const sockaddr_in6* s6{reinterpret_cast<sockaddr_in6*>(ai_trav->ai_addr)};
+ resolved_addresses.emplace_back(s6->sin6_addr, s6->sin6_scope_id);
+ }
+ ai_trav = ai_trav->ai_next;
+ }
+ freeaddrinfo(ai_res);
+
+ return resolved_addresses;
+}
+
+DNSLookupFn g_dns_lookup{WrappedGetAddrInfo};
+
enum Network ParseNetwork(const std::string& net_in) {
std::string net = ToLower(net_in);
if (net == "ipv4") return NET_IPV4;
@@ -54,6 +96,9 @@ enum Network ParseNetwork(const std::string& net_in) {
if (net == "i2p") {
return NET_I2P;
}
+ if (net == "cjdns") {
+ return NET_CJDNS;
+ }
return NET_UNROUTABLE;
}
@@ -78,7 +123,7 @@ std::vector<std::string> GetNetworkNames(bool append_unroutable)
std::vector<std::string> names;
for (int n = 0; n < NET_MAX; ++n) {
const enum Network network{static_cast<Network>(n)};
- if (network == NET_UNROUTABLE || network == NET_CJDNS || network == NET_INTERNAL) continue;
+ if (network == NET_UNROUTABLE || network == NET_INTERNAL) continue;
names.emplace_back(GetNetworkName(network));
}
if (append_unroutable) {
@@ -87,7 +132,7 @@ std::vector<std::string> GetNetworkNames(bool append_unroutable)
return names;
}
-bool static LookupIntern(const std::string& name, std::vector<CNetAddr>& vIP, unsigned int nMaxSolutions, bool fAllowLookup)
+static bool LookupIntern(const std::string& name, std::vector<CNetAddr>& vIP, unsigned int nMaxSolutions, bool fAllowLookup, DNSLookupFn dns_lookup_function)
{
vIP.clear();
@@ -109,73 +154,20 @@ bool static LookupIntern(const std::string& name, std::vector<CNetAddr>& vIP, un
}
}
- struct addrinfo aiHint;
- memset(&aiHint, 0, sizeof(struct addrinfo));
-
- // We want a TCP port, which is a streaming socket type
- aiHint.ai_socktype = SOCK_STREAM;
- aiHint.ai_protocol = IPPROTO_TCP;
- // We don't care which address family (IPv4 or IPv6) is returned
- aiHint.ai_family = AF_UNSPEC;
- // If we allow lookups of hostnames, use the AI_ADDRCONFIG flag to only
- // return addresses whose family we have an address configured for.
- //
- // If we don't allow lookups, then use the AI_NUMERICHOST flag for
- // getaddrinfo to only decode numerical network addresses and suppress
- // hostname lookups.
- aiHint.ai_flags = fAllowLookup ? AI_ADDRCONFIG : AI_NUMERICHOST;
- struct addrinfo *aiRes = nullptr;
- int nErr = getaddrinfo(name.c_str(), nullptr, &aiHint, &aiRes);
- if (nErr)
- return false;
-
- // Traverse the linked list starting with aiTrav, add all non-internal
- // IPv4,v6 addresses to vIP while respecting nMaxSolutions.
- struct addrinfo *aiTrav = aiRes;
- while (aiTrav != nullptr && (nMaxSolutions == 0 || vIP.size() < nMaxSolutions))
- {
- CNetAddr resolved;
- if (aiTrav->ai_family == AF_INET)
- {
- assert(aiTrav->ai_addrlen >= sizeof(sockaddr_in));
- resolved = CNetAddr(((struct sockaddr_in*)(aiTrav->ai_addr))->sin_addr);
- }
-
- if (aiTrav->ai_family == AF_INET6)
- {
- assert(aiTrav->ai_addrlen >= sizeof(sockaddr_in6));
- struct sockaddr_in6* s6 = (struct sockaddr_in6*) aiTrav->ai_addr;
- resolved = CNetAddr(s6->sin6_addr, s6->sin6_scope_id);
+ for (const CNetAddr& resolved : dns_lookup_function(name, fAllowLookup)) {
+ if (nMaxSolutions > 0 && vIP.size() >= nMaxSolutions) {
+ break;
}
/* Never allow resolving to an internal address. Consider any such result invalid */
if (!resolved.IsInternal()) {
vIP.push_back(resolved);
}
-
- aiTrav = aiTrav->ai_next;
}
- freeaddrinfo(aiRes);
-
return (vIP.size() > 0);
}
-/**
- * Resolve a host string to its corresponding network addresses.
- *
- * @param name The string representing a host. Could be a name or a numerical
- * IP address (IPv6 addresses in their bracketed form are
- * allowed).
- * @param[out] vIP The resulting network addresses to which the specified host
- * string resolved.
- *
- * @returns Whether or not the specified host string successfully resolved to
- * any resulting network addresses.
- *
- * @see Lookup(const char *, std::vector<CService>&, int, bool, unsigned int)
- * for additional parameter descriptions.
- */
-bool LookupHost(const std::string& name, std::vector<CNetAddr>& vIP, unsigned int nMaxSolutions, bool fAllowLookup)
+bool LookupHost(const std::string& name, std::vector<CNetAddr>& vIP, unsigned int nMaxSolutions, bool fAllowLookup, DNSLookupFn dns_lookup_function)
{
if (!ValidAsCString(name)) {
return false;
@@ -187,59 +179,33 @@ bool LookupHost(const std::string& name, std::vector<CNetAddr>& vIP, unsigned in
strHost = strHost.substr(1, strHost.size() - 2);
}
- return LookupIntern(strHost, vIP, nMaxSolutions, fAllowLookup);
+ return LookupIntern(strHost, vIP, nMaxSolutions, fAllowLookup, dns_lookup_function);
}
- /**
- * Resolve a host string to its first corresponding network address.
- *
- * @see LookupHost(const std::string&, std::vector<CNetAddr>&, unsigned int, bool) for
- * additional parameter descriptions.
- */
-bool LookupHost(const std::string& name, CNetAddr& addr, bool fAllowLookup)
+bool LookupHost(const std::string& name, CNetAddr& addr, bool fAllowLookup, DNSLookupFn dns_lookup_function)
{
if (!ValidAsCString(name)) {
return false;
}
std::vector<CNetAddr> vIP;
- LookupHost(name, vIP, 1, fAllowLookup);
+ LookupHost(name, vIP, 1, fAllowLookup, dns_lookup_function);
if(vIP.empty())
return false;
addr = vIP.front();
return true;
}
-/**
- * Resolve a service string to its corresponding service.
- *
- * @param name The string representing a service. Could be a name or a
- * numerical IP address (IPv6 addresses should be in their
- * disambiguated bracketed form), optionally followed by a port
- * number. (e.g. example.com:8333 or
- * [2001:db8:85a3:8d3:1319:8a2e:370:7348]:420)
- * @param[out] vAddr The resulting services to which the specified service string
- * resolved.
- * @param portDefault The default port for resulting services if not specified
- * by the service string.
- * @param fAllowLookup Whether or not hostname lookups are permitted. If yes,
- * external queries may be performed.
- * @param nMaxSolutions The maximum number of results we want, specifying 0
- * means "as many solutions as we get."
- *
- * @returns Whether or not the service string successfully resolved to any
- * resulting services.
- */
-bool Lookup(const std::string& name, std::vector<CService>& vAddr, int portDefault, bool fAllowLookup, unsigned int nMaxSolutions)
+bool Lookup(const std::string& name, std::vector<CService>& vAddr, uint16_t portDefault, bool fAllowLookup, unsigned int nMaxSolutions, DNSLookupFn dns_lookup_function)
{
if (name.empty() || !ValidAsCString(name)) {
return false;
}
- int port = portDefault;
+ uint16_t port{portDefault};
std::string hostname;
SplitHostPort(name, port, hostname);
std::vector<CNetAddr> vIP;
- bool fRet = LookupIntern(hostname, vIP, nMaxSolutions, fAllowLookup);
+ bool fRet = LookupIntern(hostname, vIP, nMaxSolutions, fAllowLookup, dns_lookup_function);
if (!fRet)
return false;
vAddr.resize(vIP.size());
@@ -248,36 +214,20 @@ bool Lookup(const std::string& name, std::vector<CService>& vAddr, int portDefau
return true;
}
-/**
- * Resolve a service string to its first corresponding service.
- *
- * @see Lookup(const char *, std::vector<CService>&, int, bool, unsigned int)
- * for additional parameter descriptions.
- */
-bool Lookup(const std::string& name, CService& addr, int portDefault, bool fAllowLookup)
+bool Lookup(const std::string& name, CService& addr, uint16_t portDefault, bool fAllowLookup, DNSLookupFn dns_lookup_function)
{
if (!ValidAsCString(name)) {
return false;
}
std::vector<CService> vService;
- bool fRet = Lookup(name, vService, portDefault, fAllowLookup, 1);
+ bool fRet = Lookup(name, vService, portDefault, fAllowLookup, 1, dns_lookup_function);
if (!fRet)
return false;
addr = vService[0];
return true;
}
-/**
- * Resolve a service string with a numeric IP to its first corresponding
- * service.
- *
- * @returns The resulting CService if the resolution was successful, [::]:0
- * otherwise.
- *
- * @see Lookup(const char *, CService&, int, bool) for additional parameter
- * descriptions.
- */
-CService LookupNumeric(const std::string& name, int portDefault)
+CService LookupNumeric(const std::string& name, uint16_t portDefault, DNSLookupFn dns_lookup_function)
{
if (!ValidAsCString(name)) {
return {};
@@ -285,7 +235,7 @@ CService LookupNumeric(const std::string& name, int portDefault)
CService addr;
// "1.2:345" will fail to resolve the ip, but will still set the port.
// If the ip fails to resolve, re-init the result.
- if(!Lookup(name, addr, portDefault, false))
+ if(!Lookup(name, addr, portDefault, false, dns_lookup_function))
addr = CService();
return addr;
}
@@ -414,25 +364,7 @@ static std::string Socks5ErrorString(uint8_t err)
}
}
-/**
- * Connect to a specified destination service through an already connected
- * SOCKS5 proxy.
- *
- * @param strDest The destination fully-qualified domain name.
- * @param port The destination port.
- * @param auth The credentials with which to authenticate with the specified
- * SOCKS5 proxy.
- * @param sock The SOCKS5 proxy socket.
- *
- * @returns Whether or not the operation succeeded.
- *
- * @note The specified SOCKS5 proxy socket must already be connected to the
- * SOCKS5 proxy.
- *
- * @see <a href="https://www.ietf.org/rfc/rfc1928.txt">RFC1928: SOCKS Protocol
- * Version 5</a>
- */
-bool Socks5(const std::string& strDest, int port, const ProxyCredentials* auth, const Sock& sock)
+bool Socks5(const std::string& strDest, uint16_t port, const ProxyCredentials* auth, const Sock& sock)
{
IntrRecvError recvr;
LogPrint(BCLog::NET, "SOCKS5 connecting %s\n", strDest);
@@ -606,24 +538,12 @@ static void LogConnectFailure(bool manual_connection, const char* fmt, const Arg
}
}
-/**
- * Try to connect to the specified service on the specified socket.
- *
- * @param addrConnect The service to which to connect.
- * @param hSocket The socket on which to connect.
- * @param nTimeout Wait this many milliseconds for the connection to be
- * established.
- * @param manual_connection Whether or not the connection was manually requested
- * (e.g. through the addnode RPC)
- *
- * @returns Whether or not a connection was successfully made.
- */
-bool ConnectSocketDirectly(const CService &addrConnect, const SOCKET& hSocket, int nTimeout, bool manual_connection)
+bool ConnectSocketDirectly(const CService &addrConnect, const Sock& sock, int nTimeout, bool manual_connection)
{
// Create a sockaddr from the specified service.
struct sockaddr_storage sockaddr;
socklen_t len = sizeof(sockaddr);
- if (hSocket == INVALID_SOCKET) {
+ if (sock.Get() == INVALID_SOCKET) {
LogPrintf("Cannot connect to %s: invalid socket\n", addrConnect.ToString());
return false;
}
@@ -633,8 +553,7 @@ bool ConnectSocketDirectly(const CService &addrConnect, const SOCKET& hSocket, i
}
// Connect to the addrConnect service on the hSocket socket.
- if (connect(hSocket, (struct sockaddr*)&sockaddr, len) == SOCKET_ERROR)
- {
+ if (sock.Connect(reinterpret_cast<struct sockaddr*>(&sockaddr), len) == SOCKET_ERROR) {
int nErr = WSAGetLastError();
// WSAEINVAL is here because some legacy version of winsock uses it
if (nErr == WSAEINPROGRESS || nErr == WSAEWOULDBLOCK || nErr == WSAEINVAL)
@@ -642,46 +561,34 @@ bool ConnectSocketDirectly(const CService &addrConnect, const SOCKET& hSocket, i
// Connection didn't actually fail, but is being established
// asynchronously. Thus, use async I/O api (select/poll)
// synchronously to check for successful connection with a timeout.
-#ifdef USE_POLL
- struct pollfd pollfd = {};
- pollfd.fd = hSocket;
- pollfd.events = POLLIN | POLLOUT;
- int nRet = poll(&pollfd, 1, nTimeout);
-#else
- struct timeval timeout = MillisToTimeval(nTimeout);
- fd_set fdset;
- FD_ZERO(&fdset);
- FD_SET(hSocket, &fdset);
- int nRet = select(hSocket + 1, nullptr, &fdset, nullptr, &timeout);
-#endif
- // Upon successful completion, both select and poll return the total
- // number of file descriptors that have been selected. A value of 0
- // indicates that the call timed out and no file descriptors have
- // been selected.
- if (nRet == 0)
- {
- LogPrint(BCLog::NET, "connection to %s timeout\n", addrConnect.ToString());
+ const Sock::Event requested = Sock::RECV | Sock::SEND;
+ Sock::Event occurred;
+ if (!sock.Wait(std::chrono::milliseconds{nTimeout}, requested, &occurred)) {
+ LogPrintf("wait for connect to %s failed: %s\n",
+ addrConnect.ToString(),
+ NetworkErrorString(WSAGetLastError()));
return false;
- }
- if (nRet == SOCKET_ERROR)
- {
- LogPrintf("select() for %s failed: %s\n", addrConnect.ToString(), NetworkErrorString(WSAGetLastError()));
+ } else if (occurred == 0) {
+ LogPrint(BCLog::NET, "connection attempt to %s timed out\n", addrConnect.ToString());
return false;
}
- // Even if the select/poll was successful, the connect might not
+ // Even if the wait was successful, the connect might not
// have been successful. The reason for this failure is hidden away
// in the SO_ERROR for the socket in modern systems. We read it into
- // nRet here.
- socklen_t nRetSize = sizeof(nRet);
- if (getsockopt(hSocket, SOL_SOCKET, SO_ERROR, (sockopt_arg_type)&nRet, &nRetSize) == SOCKET_ERROR)
- {
+ // sockerr here.
+ int sockerr;
+ socklen_t sockerr_len = sizeof(sockerr);
+ if (sock.GetSockOpt(SOL_SOCKET, SO_ERROR, (sockopt_arg_type)&sockerr, &sockerr_len) ==
+ SOCKET_ERROR) {
LogPrintf("getsockopt() for %s failed: %s\n", addrConnect.ToString(), NetworkErrorString(WSAGetLastError()));
return false;
}
- if (nRet != 0)
- {
- LogConnectFailure(manual_connection, "connect() to %s failed after select(): %s", addrConnect.ToString(), NetworkErrorString(nRet));
+ if (sockerr != 0) {
+ LogConnectFailure(manual_connection,
+ "connect() to %s failed after wait: %s",
+ addrConnect.ToString(),
+ NetworkErrorString(sockerr));
return false;
}
}
@@ -716,22 +623,6 @@ bool GetProxy(enum Network net, proxyType &proxyInfoOut) {
return true;
}
-/**
- * Set the name proxy to use for all connections to nodes specified by a
- * hostname. After setting this proxy, connecting to a node specified by a
- * hostname won't result in a local lookup of said hostname, rather, connect to
- * the node by asking the name proxy for a proxy connection to the hostname,
- * effectively delegating the hostname lookup to the specified proxy.
- *
- * This delegation increases privacy for those who set the name proxy as they no
- * longer leak their external hostname queries to their DNS servers.
- *
- * @returns Whether or not the operation succeeded.
- *
- * @note SOCKS5's support for UDP-over-SOCKS5 has been considered, but no SOCK5
- * server in common use (most notably Tor) actually implements UDP
- * support, and a DNS resolver is beyond the scope of this project.
- */
bool SetNameProxy(const proxyType &addrProxy) {
if (!addrProxy.IsValid())
return false;
@@ -762,25 +653,10 @@ bool IsProxy(const CNetAddr &addr) {
return false;
}
-/**
- * Connect to a specified destination service through a SOCKS5 proxy by first
- * connecting to the SOCKS5 proxy.
- *
- * @param proxy The SOCKS5 proxy.
- * @param strDest The destination service to which to connect.
- * @param port The destination port.
- * @param sock The socket on which to connect to the SOCKS5 proxy.
- * @param nTimeout Wait this many milliseconds for the connection to the SOCKS5
- * proxy to be established.
- * @param[out] outProxyConnectionFailed Whether or not the connection to the
- * SOCKS5 proxy failed.
- *
- * @returns Whether or not the operation succeeded.
- */
-bool ConnectThroughProxy(const proxyType& proxy, const std::string& strDest, int port, const Sock& sock, int nTimeout, bool& outProxyConnectionFailed)
+bool ConnectThroughProxy(const proxyType& proxy, const std::string& strDest, uint16_t port, const Sock& sock, int nTimeout, bool& outProxyConnectionFailed)
{
// first connect to proxy server
- if (!ConnectSocketDirectly(proxy.proxy, sock.Get(), nTimeout, true)) {
+ if (!ConnectSocketDirectly(proxy.proxy, sock, nTimeout, true)) {
outProxyConnectionFailed = true;
return false;
}
@@ -789,64 +665,47 @@ bool ConnectThroughProxy(const proxyType& proxy, const std::string& strDest, int
ProxyCredentials random_auth;
static std::atomic_int counter(0);
random_auth.username = random_auth.password = strprintf("%i", counter++);
- if (!Socks5(strDest, (uint16_t)port, &random_auth, sock)) {
+ if (!Socks5(strDest, port, &random_auth, sock)) {
return false;
}
} else {
- if (!Socks5(strDest, (uint16_t)port, 0, sock)) {
+ if (!Socks5(strDest, port, 0, sock)) {
return false;
}
}
return true;
}
-/**
- * Parse and resolve a specified subnet string into the appropriate internal
- * representation.
- *
- * @param strSubnet A string representation of a subnet of the form `network
- * address [ "/", ( CIDR-style suffix | netmask ) ]`(e.g.
- * `2001:db8::/32`, `192.0.2.0/255.255.255.0`, or `8.8.8.8`).
- * @param ret The resulting internal representation of a subnet.
- *
- * @returns Whether the operation succeeded or not.
- */
-bool LookupSubNet(const std::string& strSubnet, CSubNet& ret)
+bool LookupSubNet(const std::string& subnet_str, CSubNet& subnet_out)
{
- if (!ValidAsCString(strSubnet)) {
+ if (!ValidAsCString(subnet_str)) {
return false;
}
- size_t slash = strSubnet.find_last_of('/');
- std::vector<CNetAddr> vIP;
- std::string strAddress = strSubnet.substr(0, slash);
- // TODO: Use LookupHost(const std::string&, CNetAddr&, bool) instead to just get
- // one CNetAddr.
- if (LookupHost(strAddress, vIP, 1, false))
- {
- CNetAddr network = vIP[0];
- if (slash != strSubnet.npos)
- {
- std::string strNetmask = strSubnet.substr(slash + 1);
- uint8_t n;
- if (ParseUInt8(strNetmask, &n)) {
- // If valid number, assume CIDR variable-length subnet masking
- ret = CSubNet(network, n);
- return ret.IsValid();
- }
- else // If not a valid number, try full netmask syntax
- {
- // Never allow lookup for netmask
- if (LookupHost(strNetmask, vIP, 1, false)) {
- ret = CSubNet(network, vIP[0]);
- return ret.IsValid();
+ const size_t slash_pos{subnet_str.find_last_of('/')};
+ const std::string str_addr{subnet_str.substr(0, slash_pos)};
+ CNetAddr addr;
+
+ if (LookupHost(str_addr, addr, /*fAllowLookup=*/false)) {
+ if (slash_pos != subnet_str.npos) {
+ const std::string netmask_str{subnet_str.substr(slash_pos + 1)};
+ uint8_t netmask;
+ if (ParseUInt8(netmask_str, &netmask)) {
+ // Valid number; assume CIDR variable-length subnet masking.
+ subnet_out = CSubNet{addr, netmask};
+ return subnet_out.IsValid();
+ } else {
+ // Invalid number; try full netmask syntax. Never allow lookup for netmask.
+ CNetAddr full_netmask;
+ if (LookupHost(netmask_str, full_netmask, /*fAllowLookup=*/false)) {
+ subnet_out = CSubNet{addr, full_netmask};
+ return subnet_out.IsValid();
}
}
- }
- else
- {
- ret = CSubNet(network);
- return ret.IsValid();
+ } else {
+ // Single IP subnet (<ipv4>/32 or <ipv6>/128).
+ subnet_out = CSubNet{addr};
+ return subnet_out.IsValid();
}
}
return false;
diff --git a/src/netbase.h b/src/netbase.h
index b225f128e7..980aa47d66 100644
--- a/src/netbase.h
+++ b/src/netbase.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -18,6 +18,7 @@
#include <memory>
#include <stdint.h>
#include <string>
+#include <type_traits>
#include <vector>
extern int nConnectTimeout;
@@ -28,6 +29,22 @@ static const int DEFAULT_CONNECT_TIMEOUT = 5000;
//! -dns default
static const int DEFAULT_NAME_LOOKUP = true;
+enum class ConnectionDirection {
+ None = 0,
+ In = (1U << 0),
+ Out = (1U << 1),
+ Both = (In | Out),
+};
+static inline ConnectionDirection& operator|=(ConnectionDirection& a, ConnectionDirection b) {
+ using underlying = typename std::underlying_type<ConnectionDirection>::type;
+ a = ConnectionDirection(underlying(a) | underlying(b));
+ return a;
+}
+static inline bool operator&(ConnectionDirection a, ConnectionDirection b) {
+ using underlying = typename std::underlying_type<ConnectionDirection>::type;
+ return (underlying(a) & underlying(b));
+}
+
class proxyType
{
public:
@@ -47,6 +64,11 @@ struct ProxyCredentials
std::string password;
};
+/**
+ * Wrapper for getaddrinfo(3). Do not use directly: call Lookup/LookupHost/LookupNumeric/LookupSubNet.
+ */
+std::vector<CNetAddr> WrappedGetAddrInfo(const std::string& name, bool allow_lookup);
+
enum Network ParseNetwork(const std::string& net);
std::string GetNetworkName(enum Network net);
/** Return a vector of publicly routable Network names; optionally append NET_UNROUTABLE. */
@@ -54,15 +76,107 @@ std::vector<std::string> GetNetworkNames(bool append_unroutable = false);
bool SetProxy(enum Network net, const proxyType &addrProxy);
bool GetProxy(enum Network net, proxyType &proxyInfoOut);
bool IsProxy(const CNetAddr &addr);
+/**
+ * Set the name proxy to use for all connections to nodes specified by a
+ * hostname. After setting this proxy, connecting to a node specified by a
+ * hostname won't result in a local lookup of said hostname, rather, connect to
+ * the node by asking the name proxy for a proxy connection to the hostname,
+ * effectively delegating the hostname lookup to the specified proxy.
+ *
+ * This delegation increases privacy for those who set the name proxy as they no
+ * longer leak their external hostname queries to their DNS servers.
+ *
+ * @returns Whether or not the operation succeeded.
+ *
+ * @note SOCKS5's support for UDP-over-SOCKS5 has been considered, but no SOCK5
+ * server in common use (most notably Tor) actually implements UDP
+ * support, and a DNS resolver is beyond the scope of this project.
+ */
bool SetNameProxy(const proxyType &addrProxy);
bool HaveNameProxy();
bool GetNameProxy(proxyType &nameProxyOut);
-bool LookupHost(const std::string& name, std::vector<CNetAddr>& vIP, unsigned int nMaxSolutions, bool fAllowLookup);
-bool LookupHost(const std::string& name, CNetAddr& addr, bool fAllowLookup);
-bool Lookup(const std::string& name, CService& addr, int portDefault, bool fAllowLookup);
-bool Lookup(const std::string& name, std::vector<CService>& vAddr, int portDefault, bool fAllowLookup, unsigned int nMaxSolutions);
-CService LookupNumeric(const std::string& name, int portDefault = 0);
-bool LookupSubNet(const std::string& strSubnet, CSubNet& subnet);
+
+using DNSLookupFn = std::function<std::vector<CNetAddr>(const std::string&, bool)>;
+extern DNSLookupFn g_dns_lookup;
+
+/**
+ * Resolve a host string to its corresponding network addresses.
+ *
+ * @param name The string representing a host. Could be a name or a numerical
+ * IP address (IPv6 addresses in their bracketed form are
+ * allowed).
+ * @param[out] vIP The resulting network addresses to which the specified host
+ * string resolved.
+ *
+ * @returns Whether or not the specified host string successfully resolved to
+ * any resulting network addresses.
+ *
+ * @see Lookup(const std::string&, std::vector<CService>&, uint16_t, bool, unsigned int, DNSLookupFn)
+ * for additional parameter descriptions.
+ */
+bool LookupHost(const std::string& name, std::vector<CNetAddr>& vIP, unsigned int nMaxSolutions, bool fAllowLookup, DNSLookupFn dns_lookup_function = g_dns_lookup);
+
+/**
+ * Resolve a host string to its first corresponding network address.
+ *
+ * @see LookupHost(const std::string&, std::vector<CNetAddr>&, uint16_t, bool, DNSLookupFn)
+ * for additional parameter descriptions.
+ */
+bool LookupHost(const std::string& name, CNetAddr& addr, bool fAllowLookup, DNSLookupFn dns_lookup_function = g_dns_lookup);
+
+/**
+ * Resolve a service string to its corresponding service.
+ *
+ * @param name The string representing a service. Could be a name or a
+ * numerical IP address (IPv6 addresses should be in their
+ * disambiguated bracketed form), optionally followed by a uint16_t port
+ * number. (e.g. example.com:8333 or
+ * [2001:db8:85a3:8d3:1319:8a2e:370:7348]:420)
+ * @param[out] vAddr The resulting services to which the specified service string
+ * resolved.
+ * @param portDefault The default port for resulting services if not specified
+ * by the service string.
+ * @param fAllowLookup Whether or not hostname lookups are permitted. If yes,
+ * external queries may be performed.
+ * @param nMaxSolutions The maximum number of results we want, specifying 0
+ * means "as many solutions as we get."
+ *
+ * @returns Whether or not the service string successfully resolved to any
+ * resulting services.
+ */
+bool Lookup(const std::string& name, std::vector<CService>& vAddr, uint16_t portDefault, bool fAllowLookup, unsigned int nMaxSolutions, DNSLookupFn dns_lookup_function = g_dns_lookup);
+
+/**
+ * Resolve a service string to its first corresponding service.
+ *
+ * @see Lookup(const std::string&, std::vector<CService>&, uint16_t, bool, unsigned int, DNSLookupFn)
+ * for additional parameter descriptions.
+ */
+bool Lookup(const std::string& name, CService& addr, uint16_t portDefault, bool fAllowLookup, DNSLookupFn dns_lookup_function = g_dns_lookup);
+
+/**
+ * Resolve a service string with a numeric IP to its first corresponding
+ * service.
+ *
+ * @returns The resulting CService if the resolution was successful, [::]:0 otherwise.
+ *
+ * @see Lookup(const std::string&, std::vector<CService>&, uint16_t, bool, unsigned int, DNSLookupFn)
+ * for additional parameter descriptions.
+ */
+CService LookupNumeric(const std::string& name, uint16_t portDefault = 0, DNSLookupFn dns_lookup_function = g_dns_lookup);
+
+/**
+ * Parse and resolve a specified subnet string into the appropriate internal
+ * representation.
+ *
+ * @param[in] subnet_str A string representation of a subnet of the form
+ * `network address [ "/", ( CIDR-style suffix | netmask ) ]`
+ * e.g. "2001:db8::/32", "192.0.2.0/255.255.255.0" or "8.8.8.8".
+ * @param[out] subnet_out Internal subnet representation, if parsable/resolvable
+ * from `subnet_str`.
+ * @returns whether the operation succeeded or not.
+ */
+bool LookupSubNet(const std::string& subnet_str, CSubNet& subnet_out);
/**
* Create a TCP socket in the given address family.
@@ -76,14 +190,61 @@ std::unique_ptr<Sock> CreateSockTCP(const CService& address_family);
*/
extern std::function<std::unique_ptr<Sock>(const CService&)> CreateSock;
-bool ConnectSocketDirectly(const CService &addrConnect, const SOCKET& hSocketRet, int nTimeout, bool manual_connection);
-bool ConnectThroughProxy(const proxyType& proxy, const std::string& strDest, int port, const Sock& sock, int nTimeout, bool& outProxyConnectionFailed);
+/**
+ * Try to connect to the specified service on the specified socket.
+ *
+ * @param addrConnect The service to which to connect.
+ * @param sock The socket on which to connect.
+ * @param nTimeout Wait this many milliseconds for the connection to be
+ * established.
+ * @param manual_connection Whether or not the connection was manually requested
+ * (e.g. through the addnode RPC)
+ *
+ * @returns Whether or not a connection was successfully made.
+ */
+bool ConnectSocketDirectly(const CService &addrConnect, const Sock& sock, int nTimeout, bool manual_connection);
+
+/**
+ * Connect to a specified destination service through a SOCKS5 proxy by first
+ * connecting to the SOCKS5 proxy.
+ *
+ * @param proxy The SOCKS5 proxy.
+ * @param strDest The destination service to which to connect.
+ * @param port The destination port.
+ * @param sock The socket on which to connect to the SOCKS5 proxy.
+ * @param nTimeout Wait this many milliseconds for the connection to the SOCKS5
+ * proxy to be established.
+ * @param[out] outProxyConnectionFailed Whether or not the connection to the
+ * SOCKS5 proxy failed.
+ *
+ * @returns Whether or not the operation succeeded.
+ */
+bool ConnectThroughProxy(const proxyType& proxy, const std::string& strDest, uint16_t port, const Sock& sock, int nTimeout, bool& outProxyConnectionFailed);
+
/** Disable or enable blocking-mode for a socket */
bool SetSocketNonBlocking(const SOCKET& hSocket, bool fNonBlocking);
/** Set the TCP_NODELAY flag on a socket */
bool SetSocketNoDelay(const SOCKET& hSocket);
void InterruptSocks5(bool interrupt);
-bool Socks5(const std::string& strDest, int port, const ProxyCredentials* auth, const Sock& socket);
+/**
+ * Connect to a specified destination service through an already connected
+ * SOCKS5 proxy.
+ *
+ * @param strDest The destination fully-qualified domain name.
+ * @param port The destination port.
+ * @param auth The credentials with which to authenticate with the specified
+ * SOCKS5 proxy.
+ * @param socket The SOCKS5 proxy socket.
+ *
+ * @returns Whether or not the operation succeeded.
+ *
+ * @note The specified SOCKS5 proxy socket must already be connected to the
+ * SOCKS5 proxy.
+ *
+ * @see <a href="https://www.ietf.org/rfc/rfc1928.txt">RFC1928: SOCKS Protocol
+ * Version 5</a>
+ */
+bool Socks5(const std::string& strDest, uint16_t port, const ProxyCredentials* auth, const Sock& socket);
#endif // BITCOIN_NETBASE_H
diff --git a/src/node/README.md b/src/node/README.md
index e99a717534..ab5979594d 100644
--- a/src/node/README.md
+++ b/src/node/README.md
@@ -15,8 +15,7 @@ As a rule of thumb, code in one of the [`src/node/`](./),
calling code in the other directories directly, and only invoke it indirectly
through the more limited [`src/interfaces/`](../interfaces/) classes.
-The [`src/node/`](./) directory is a new directory introduced in
-[#14978](https://github.com/bitcoin/bitcoin/pull/14978) and at the moment is
+This directory is at the moment
sparsely populated. Eventually more substantial files like
[`src/validation.cpp`](../validation.cpp) and
[`src/txmempool.cpp`](../txmempool.cpp) might be moved there.
diff --git a/src/node/blockstorage.cpp b/src/node/blockstorage.cpp
new file mode 100644
index 0000000000..8a99130fd0
--- /dev/null
+++ b/src/node/blockstorage.cpp
@@ -0,0 +1,931 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <node/blockstorage.h>
+
+#include <chain.h>
+#include <chainparams.h>
+#include <clientversion.h>
+#include <consensus/validation.h>
+#include <flatfile.h>
+#include <fs.h>
+#include <hash.h>
+#include <pow.h>
+#include <reverse_iterator.h>
+#include <shutdown.h>
+#include <signet.h>
+#include <streams.h>
+#include <undo.h>
+#include <util/syscall_sandbox.h>
+#include <util/system.h>
+#include <validation.h>
+
+namespace node {
+std::atomic_bool fImporting(false);
+std::atomic_bool fReindex(false);
+bool fHavePruned = false;
+bool fPruneMode = false;
+uint64_t nPruneTarget = 0;
+
+static FILE* OpenUndoFile(const FlatFilePos& pos, bool fReadOnly = false);
+static FlatFileSeq BlockFileSeq();
+static FlatFileSeq UndoFileSeq();
+
+CBlockIndex* BlockManager::LookupBlockIndex(const uint256& hash) const
+{
+ AssertLockHeld(cs_main);
+ BlockMap::const_iterator it = m_block_index.find(hash);
+ return it == m_block_index.end() ? nullptr : it->second;
+}
+
+CBlockIndex* BlockManager::AddToBlockIndex(const CBlockHeader& block)
+{
+ AssertLockHeld(cs_main);
+
+ // Check for duplicate
+ uint256 hash = block.GetHash();
+ BlockMap::iterator it = m_block_index.find(hash);
+ if (it != m_block_index.end()) {
+ return it->second;
+ }
+
+ // Construct new block index object
+ CBlockIndex* pindexNew = new CBlockIndex(block);
+ // We assign the sequence id to blocks only when the full data is available,
+ // to avoid miners withholding blocks but broadcasting headers, to get a
+ // competitive advantage.
+ pindexNew->nSequenceId = 0;
+ BlockMap::iterator mi = m_block_index.insert(std::make_pair(hash, pindexNew)).first;
+ pindexNew->phashBlock = &((*mi).first);
+ BlockMap::iterator miPrev = m_block_index.find(block.hashPrevBlock);
+ if (miPrev != m_block_index.end()) {
+ pindexNew->pprev = (*miPrev).second;
+ pindexNew->nHeight = pindexNew->pprev->nHeight + 1;
+ pindexNew->BuildSkip();
+ }
+ pindexNew->nTimeMax = (pindexNew->pprev ? std::max(pindexNew->pprev->nTimeMax, pindexNew->nTime) : pindexNew->nTime);
+ pindexNew->nChainWork = (pindexNew->pprev ? pindexNew->pprev->nChainWork : 0) + GetBlockProof(*pindexNew);
+ pindexNew->RaiseValidity(BLOCK_VALID_TREE);
+ if (pindexBestHeader == nullptr || pindexBestHeader->nChainWork < pindexNew->nChainWork)
+ pindexBestHeader = pindexNew;
+
+ m_dirty_blockindex.insert(pindexNew);
+
+ return pindexNew;
+}
+
+void BlockManager::PruneOneBlockFile(const int fileNumber)
+{
+ AssertLockHeld(cs_main);
+ LOCK(cs_LastBlockFile);
+
+ for (const auto& entry : m_block_index) {
+ CBlockIndex* pindex = entry.second;
+ if (pindex->nFile == fileNumber) {
+ pindex->nStatus &= ~BLOCK_HAVE_DATA;
+ pindex->nStatus &= ~BLOCK_HAVE_UNDO;
+ pindex->nFile = 0;
+ pindex->nDataPos = 0;
+ pindex->nUndoPos = 0;
+ m_dirty_blockindex.insert(pindex);
+
+ // Prune from m_blocks_unlinked -- any block we prune would have
+ // to be downloaded again in order to consider its chain, at which
+ // point it would be considered as a candidate for
+ // m_blocks_unlinked or setBlockIndexCandidates.
+ auto range = m_blocks_unlinked.equal_range(pindex->pprev);
+ while (range.first != range.second) {
+ std::multimap<CBlockIndex*, CBlockIndex*>::iterator _it = range.first;
+ range.first++;
+ if (_it->second == pindex) {
+ m_blocks_unlinked.erase(_it);
+ }
+ }
+ }
+ }
+
+ m_blockfile_info[fileNumber].SetNull();
+ m_dirty_fileinfo.insert(fileNumber);
+}
+
+void BlockManager::FindFilesToPruneManual(std::set<int>& setFilesToPrune, int nManualPruneHeight, int chain_tip_height)
+{
+ assert(fPruneMode && nManualPruneHeight > 0);
+
+ LOCK2(cs_main, cs_LastBlockFile);
+ if (chain_tip_height < 0) {
+ return;
+ }
+
+ // last block to prune is the lesser of (user-specified height, MIN_BLOCKS_TO_KEEP from the tip)
+ unsigned int nLastBlockWeCanPrune = std::min((unsigned)nManualPruneHeight, chain_tip_height - MIN_BLOCKS_TO_KEEP);
+ int count = 0;
+ for (int fileNumber = 0; fileNumber < m_last_blockfile; fileNumber++) {
+ if (m_blockfile_info[fileNumber].nSize == 0 || m_blockfile_info[fileNumber].nHeightLast > nLastBlockWeCanPrune) {
+ continue;
+ }
+ PruneOneBlockFile(fileNumber);
+ setFilesToPrune.insert(fileNumber);
+ count++;
+ }
+ LogPrintf("Prune (Manual): prune_height=%d removed %d blk/rev pairs\n", nLastBlockWeCanPrune, count);
+}
+
+void BlockManager::FindFilesToPrune(std::set<int>& setFilesToPrune, uint64_t nPruneAfterHeight, int chain_tip_height, int prune_height, bool is_ibd)
+{
+ LOCK2(cs_main, cs_LastBlockFile);
+ if (chain_tip_height < 0 || nPruneTarget == 0) {
+ return;
+ }
+ if ((uint64_t)chain_tip_height <= nPruneAfterHeight) {
+ return;
+ }
+
+ unsigned int nLastBlockWeCanPrune{(unsigned)std::min(prune_height, chain_tip_height - static_cast<int>(MIN_BLOCKS_TO_KEEP))};
+ uint64_t nCurrentUsage = CalculateCurrentUsage();
+ // We don't check to prune until after we've allocated new space for files
+ // So we should leave a buffer under our target to account for another allocation
+ // before the next pruning.
+ uint64_t nBuffer = BLOCKFILE_CHUNK_SIZE + UNDOFILE_CHUNK_SIZE;
+ uint64_t nBytesToPrune;
+ int count = 0;
+
+ if (nCurrentUsage + nBuffer >= nPruneTarget) {
+ // On a prune event, the chainstate DB is flushed.
+ // To avoid excessive prune events negating the benefit of high dbcache
+ // values, we should not prune too rapidly.
+ // So when pruning in IBD, increase the buffer a bit to avoid a re-prune too soon.
+ if (is_ibd) {
+ // Since this is only relevant during IBD, we use a fixed 10%
+ nBuffer += nPruneTarget / 10;
+ }
+
+ for (int fileNumber = 0; fileNumber < m_last_blockfile; fileNumber++) {
+ nBytesToPrune = m_blockfile_info[fileNumber].nSize + m_blockfile_info[fileNumber].nUndoSize;
+
+ if (m_blockfile_info[fileNumber].nSize == 0) {
+ continue;
+ }
+
+ if (nCurrentUsage + nBuffer < nPruneTarget) { // are we below our target?
+ break;
+ }
+
+ // don't prune files that could have a block within MIN_BLOCKS_TO_KEEP of the main chain's tip but keep scanning
+ if (m_blockfile_info[fileNumber].nHeightLast > nLastBlockWeCanPrune) {
+ continue;
+ }
+
+ PruneOneBlockFile(fileNumber);
+ // Queue up the files for removal
+ setFilesToPrune.insert(fileNumber);
+ nCurrentUsage -= nBytesToPrune;
+ count++;
+ }
+ }
+
+ LogPrint(BCLog::PRUNE, "Prune: target=%dMiB actual=%dMiB diff=%dMiB max_prune_height=%d removed %d blk/rev pairs\n",
+ nPruneTarget/1024/1024, nCurrentUsage/1024/1024,
+ ((int64_t)nPruneTarget - (int64_t)nCurrentUsage)/1024/1024,
+ nLastBlockWeCanPrune, count);
+}
+
+CBlockIndex* BlockManager::InsertBlockIndex(const uint256& hash)
+{
+ AssertLockHeld(cs_main);
+
+ if (hash.IsNull()) {
+ return nullptr;
+ }
+
+ // Return existing
+ BlockMap::iterator mi = m_block_index.find(hash);
+ if (mi != m_block_index.end()) {
+ return (*mi).second;
+ }
+
+ // Create new
+ CBlockIndex* pindexNew = new CBlockIndex();
+ mi = m_block_index.insert(std::make_pair(hash, pindexNew)).first;
+ pindexNew->phashBlock = &((*mi).first);
+
+ return pindexNew;
+}
+
+bool BlockManager::LoadBlockIndex(
+ const Consensus::Params& consensus_params,
+ ChainstateManager& chainman)
+{
+ if (!m_block_tree_db->LoadBlockIndexGuts(consensus_params, [this](const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main) { return this->InsertBlockIndex(hash); })) {
+ return false;
+ }
+
+ // Calculate nChainWork
+ std::vector<std::pair<int, CBlockIndex*>> vSortedByHeight;
+ vSortedByHeight.reserve(m_block_index.size());
+ for (const std::pair<const uint256, CBlockIndex*>& item : m_block_index) {
+ CBlockIndex* pindex = item.second;
+ vSortedByHeight.push_back(std::make_pair(pindex->nHeight, pindex));
+ }
+ sort(vSortedByHeight.begin(), vSortedByHeight.end());
+
+ // Find start of assumed-valid region.
+ int first_assumed_valid_height = std::numeric_limits<int>::max();
+
+ for (const auto& [height, block] : vSortedByHeight) {
+ if (block->IsAssumedValid()) {
+ auto chainstates = chainman.GetAll();
+
+ // If we encounter an assumed-valid block index entry, ensure that we have
+ // one chainstate that tolerates assumed-valid entries and another that does
+ // not (i.e. the background validation chainstate), since assumed-valid
+ // entries should always be pending validation by a fully-validated chainstate.
+ auto any_chain = [&](auto fnc) { return std::any_of(chainstates.cbegin(), chainstates.cend(), fnc); };
+ assert(any_chain([](auto chainstate) { return chainstate->reliesOnAssumedValid(); }));
+ assert(any_chain([](auto chainstate) { return !chainstate->reliesOnAssumedValid(); }));
+
+ first_assumed_valid_height = height;
+ break;
+ }
+ }
+
+ for (const std::pair<int, CBlockIndex*>& item : vSortedByHeight) {
+ if (ShutdownRequested()) return false;
+ CBlockIndex* pindex = item.second;
+ pindex->nChainWork = (pindex->pprev ? pindex->pprev->nChainWork : 0) + GetBlockProof(*pindex);
+ pindex->nTimeMax = (pindex->pprev ? std::max(pindex->pprev->nTimeMax, pindex->nTime) : pindex->nTime);
+
+ // We can link the chain of blocks for which we've received transactions at some point, or
+ // blocks that are assumed-valid on the basis of snapshot load (see
+ // PopulateAndValidateSnapshot()).
+ // Pruned nodes may have deleted the block.
+ if (pindex->nTx > 0) {
+ if (pindex->pprev) {
+ if (pindex->pprev->nChainTx > 0) {
+ pindex->nChainTx = pindex->pprev->nChainTx + pindex->nTx;
+ } else {
+ pindex->nChainTx = 0;
+ m_blocks_unlinked.insert(std::make_pair(pindex->pprev, pindex));
+ }
+ } else {
+ pindex->nChainTx = pindex->nTx;
+ }
+ }
+ if (!(pindex->nStatus & BLOCK_FAILED_MASK) && pindex->pprev && (pindex->pprev->nStatus & BLOCK_FAILED_MASK)) {
+ pindex->nStatus |= BLOCK_FAILED_CHILD;
+ m_dirty_blockindex.insert(pindex);
+ }
+ if (pindex->IsAssumedValid() ||
+ (pindex->IsValid(BLOCK_VALID_TRANSACTIONS) &&
+ (pindex->HaveTxsDownloaded() || pindex->pprev == nullptr))) {
+
+ // Fill each chainstate's block candidate set. Only add assumed-valid
+ // blocks to the tip candidate set if the chainstate is allowed to rely on
+ // assumed-valid blocks.
+ //
+ // If all setBlockIndexCandidates contained the assumed-valid blocks, the
+ // background chainstate's ActivateBestChain() call would add assumed-valid
+ // blocks to the chain (based on how FindMostWorkChain() works). Obviously
+ // we don't want this since the purpose of the background validation chain
+ // is to validate assued-valid blocks.
+ //
+ // Note: This is considering all blocks whose height is greater or equal to
+ // the first assumed-valid block to be assumed-valid blocks, and excluding
+ // them from the background chainstate's setBlockIndexCandidates set. This
+ // does mean that some blocks which are not technically assumed-valid
+ // (later blocks on a fork beginning before the first assumed-valid block)
+ // might not get added to the background chainstate, but this is ok,
+ // because they will still be attached to the active chainstate if they
+ // actually contain more work.
+ //
+ // Instead of this height-based approach, an earlier attempt was made at
+ // detecting "holistically" whether the block index under consideration
+ // relied on an assumed-valid ancestor, but this proved to be too slow to
+ // be practical.
+ for (CChainState* chainstate : chainman.GetAll()) {
+ if (chainstate->reliesOnAssumedValid() ||
+ pindex->nHeight < first_assumed_valid_height) {
+ chainstate->setBlockIndexCandidates.insert(pindex);
+ }
+ }
+ }
+ if (pindex->nStatus & BLOCK_FAILED_MASK && (!chainman.m_best_invalid || pindex->nChainWork > chainman.m_best_invalid->nChainWork)) {
+ chainman.m_best_invalid = pindex;
+ }
+ if (pindex->pprev) {
+ pindex->BuildSkip();
+ }
+ if (pindex->IsValid(BLOCK_VALID_TREE) && (pindexBestHeader == nullptr || CBlockIndexWorkComparator()(pindexBestHeader, pindex)))
+ pindexBestHeader = pindex;
+ }
+
+ return true;
+}
+
+void BlockManager::Unload()
+{
+ m_blocks_unlinked.clear();
+
+ for (const BlockMap::value_type& entry : m_block_index) {
+ delete entry.second;
+ }
+
+ m_block_index.clear();
+
+ m_blockfile_info.clear();
+ m_last_blockfile = 0;
+ m_dirty_blockindex.clear();
+ m_dirty_fileinfo.clear();
+}
+
+bool BlockManager::WriteBlockIndexDB()
+{
+ AssertLockHeld(::cs_main);
+ std::vector<std::pair<int, const CBlockFileInfo*>> vFiles;
+ vFiles.reserve(m_dirty_fileinfo.size());
+ for (std::set<int>::iterator it = m_dirty_fileinfo.begin(); it != m_dirty_fileinfo.end();) {
+ vFiles.push_back(std::make_pair(*it, &m_blockfile_info[*it]));
+ m_dirty_fileinfo.erase(it++);
+ }
+ std::vector<const CBlockIndex*> vBlocks;
+ vBlocks.reserve(m_dirty_blockindex.size());
+ for (std::set<CBlockIndex*>::iterator it = m_dirty_blockindex.begin(); it != m_dirty_blockindex.end();) {
+ vBlocks.push_back(*it);
+ m_dirty_blockindex.erase(it++);
+ }
+ if (!m_block_tree_db->WriteBatchSync(vFiles, m_last_blockfile, vBlocks)) {
+ return false;
+ }
+ return true;
+}
+
+bool BlockManager::LoadBlockIndexDB(ChainstateManager& chainman)
+{
+ if (!LoadBlockIndex(::Params().GetConsensus(), chainman)) {
+ return false;
+ }
+
+ // Load block file info
+ m_block_tree_db->ReadLastBlockFile(m_last_blockfile);
+ m_blockfile_info.resize(m_last_blockfile + 1);
+ LogPrintf("%s: last block file = %i\n", __func__, m_last_blockfile);
+ for (int nFile = 0; nFile <= m_last_blockfile; nFile++) {
+ m_block_tree_db->ReadBlockFileInfo(nFile, m_blockfile_info[nFile]);
+ }
+ LogPrintf("%s: last block file info: %s\n", __func__, m_blockfile_info[m_last_blockfile].ToString());
+ for (int nFile = m_last_blockfile + 1; true; nFile++) {
+ CBlockFileInfo info;
+ if (m_block_tree_db->ReadBlockFileInfo(nFile, info)) {
+ m_blockfile_info.push_back(info);
+ } else {
+ break;
+ }
+ }
+
+ // Check presence of blk files
+ LogPrintf("Checking all blk files are present...\n");
+ std::set<int> setBlkDataFiles;
+ for (const std::pair<const uint256, CBlockIndex*>& item : m_block_index) {
+ CBlockIndex* pindex = item.second;
+ if (pindex->nStatus & BLOCK_HAVE_DATA) {
+ setBlkDataFiles.insert(pindex->nFile);
+ }
+ }
+ for (std::set<int>::iterator it = setBlkDataFiles.begin(); it != setBlkDataFiles.end(); it++) {
+ FlatFilePos pos(*it, 0);
+ if (CAutoFile(OpenBlockFile(pos, true), SER_DISK, CLIENT_VERSION).IsNull()) {
+ return false;
+ }
+ }
+
+ // Check whether we have ever pruned block & undo files
+ m_block_tree_db->ReadFlag("prunedblockfiles", fHavePruned);
+ if (fHavePruned) {
+ LogPrintf("LoadBlockIndexDB(): Block files have previously been pruned\n");
+ }
+
+ // Check whether we need to continue reindexing
+ bool fReindexing = false;
+ m_block_tree_db->ReadReindexing(fReindexing);
+ if (fReindexing) fReindex = true;
+
+ return true;
+}
+
+CBlockIndex* BlockManager::GetLastCheckpoint(const CCheckpointData& data)
+{
+ const MapCheckpoints& checkpoints = data.mapCheckpoints;
+
+ for (const MapCheckpoints::value_type& i : reverse_iterate(checkpoints)) {
+ const uint256& hash = i.second;
+ CBlockIndex* pindex = LookupBlockIndex(hash);
+ if (pindex) {
+ return pindex;
+ }
+ }
+ return nullptr;
+}
+
+bool IsBlockPruned(const CBlockIndex* pblockindex)
+{
+ AssertLockHeld(::cs_main);
+ return (fHavePruned && !(pblockindex->nStatus & BLOCK_HAVE_DATA) && pblockindex->nTx > 0);
+}
+
+// If we're using -prune with -reindex, then delete block files that will be ignored by the
+// reindex. Since reindexing works by starting at block file 0 and looping until a blockfile
+// is missing, do the same here to delete any later block files after a gap. Also delete all
+// rev files since they'll be rewritten by the reindex anyway. This ensures that m_blockfile_info
+// is in sync with what's actually on disk by the time we start downloading, so that pruning
+// works correctly.
+void CleanupBlockRevFiles()
+{
+ std::map<std::string, fs::path> mapBlockFiles;
+
+ // Glob all blk?????.dat and rev?????.dat files from the blocks directory.
+ // Remove the rev files immediately and insert the blk file paths into an
+ // ordered map keyed by block file index.
+ LogPrintf("Removing unusable blk?????.dat and rev?????.dat files for -reindex with -prune\n");
+ fs::path blocksdir = gArgs.GetBlocksDirPath();
+ for (fs::directory_iterator it(blocksdir); it != fs::directory_iterator(); it++) {
+ const std::string path = fs::PathToString(it->path().filename());
+ if (fs::is_regular_file(*it) &&
+ path.length() == 12 &&
+ path.substr(8,4) == ".dat")
+ {
+ if (path.substr(0, 3) == "blk") {
+ mapBlockFiles[path.substr(3, 5)] = it->path();
+ } else if (path.substr(0, 3) == "rev") {
+ remove(it->path());
+ }
+ }
+ }
+
+ // Remove all block files that aren't part of a contiguous set starting at
+ // zero by walking the ordered map (keys are block file indices) by
+ // keeping a separate counter. Once we hit a gap (or if 0 doesn't exist)
+ // start removing block files.
+ int nContigCounter = 0;
+ for (const std::pair<const std::string, fs::path>& item : mapBlockFiles) {
+ if (LocaleIndependentAtoi<int>(item.first) == nContigCounter) {
+ nContigCounter++;
+ continue;
+ }
+ remove(item.second);
+ }
+}
+
+CBlockFileInfo* BlockManager::GetBlockFileInfo(size_t n)
+{
+ LOCK(cs_LastBlockFile);
+
+ return &m_blockfile_info.at(n);
+}
+
+static bool UndoWriteToDisk(const CBlockUndo& blockundo, FlatFilePos& pos, const uint256& hashBlock, const CMessageHeader::MessageStartChars& messageStart)
+{
+ // Open history file to append
+ CAutoFile fileout(OpenUndoFile(pos), SER_DISK, CLIENT_VERSION);
+ if (fileout.IsNull()) {
+ return error("%s: OpenUndoFile failed", __func__);
+ }
+
+ // Write index header
+ unsigned int nSize = GetSerializeSize(blockundo, fileout.GetVersion());
+ fileout << messageStart << nSize;
+
+ // Write undo data
+ long fileOutPos = ftell(fileout.Get());
+ if (fileOutPos < 0) {
+ return error("%s: ftell failed", __func__);
+ }
+ pos.nPos = (unsigned int)fileOutPos;
+ fileout << blockundo;
+
+ // calculate & write checksum
+ CHashWriter hasher(SER_GETHASH, PROTOCOL_VERSION);
+ hasher << hashBlock;
+ hasher << blockundo;
+ fileout << hasher.GetHash();
+
+ return true;
+}
+
+bool UndoReadFromDisk(CBlockUndo& blockundo, const CBlockIndex* pindex)
+{
+ const FlatFilePos pos{WITH_LOCK(::cs_main, return pindex->GetUndoPos())};
+
+ if (pos.IsNull()) {
+ return error("%s: no undo data available", __func__);
+ }
+
+ // Open history file to read
+ CAutoFile filein(OpenUndoFile(pos, true), SER_DISK, CLIENT_VERSION);
+ if (filein.IsNull()) {
+ return error("%s: OpenUndoFile failed", __func__);
+ }
+
+ // Read block
+ uint256 hashChecksum;
+ CHashVerifier<CAutoFile> verifier(&filein); // We need a CHashVerifier as reserializing may lose data
+ try {
+ verifier << pindex->pprev->GetBlockHash();
+ verifier >> blockundo;
+ filein >> hashChecksum;
+ } catch (const std::exception& e) {
+ return error("%s: Deserialize or I/O error - %s", __func__, e.what());
+ }
+
+ // Verify checksum
+ if (hashChecksum != verifier.GetHash()) {
+ return error("%s: Checksum mismatch", __func__);
+ }
+
+ return true;
+}
+
+void BlockManager::FlushUndoFile(int block_file, bool finalize)
+{
+ FlatFilePos undo_pos_old(block_file, m_blockfile_info[block_file].nUndoSize);
+ if (!UndoFileSeq().Flush(undo_pos_old, finalize)) {
+ AbortNode("Flushing undo file to disk failed. This is likely the result of an I/O error.");
+ }
+}
+
+void BlockManager::FlushBlockFile(bool fFinalize, bool finalize_undo)
+{
+ LOCK(cs_LastBlockFile);
+ FlatFilePos block_pos_old(m_last_blockfile, m_blockfile_info[m_last_blockfile].nSize);
+ if (!BlockFileSeq().Flush(block_pos_old, fFinalize)) {
+ AbortNode("Flushing block file to disk failed. This is likely the result of an I/O error.");
+ }
+ // we do not always flush the undo file, as the chain tip may be lagging behind the incoming blocks,
+ // e.g. during IBD or a sync after a node going offline
+ if (!fFinalize || finalize_undo) FlushUndoFile(m_last_blockfile, finalize_undo);
+}
+
+uint64_t BlockManager::CalculateCurrentUsage()
+{
+ LOCK(cs_LastBlockFile);
+
+ uint64_t retval = 0;
+ for (const CBlockFileInfo& file : m_blockfile_info) {
+ retval += file.nSize + file.nUndoSize;
+ }
+ return retval;
+}
+
+void UnlinkPrunedFiles(const std::set<int>& setFilesToPrune)
+{
+ for (std::set<int>::iterator it = setFilesToPrune.begin(); it != setFilesToPrune.end(); ++it) {
+ FlatFilePos pos(*it, 0);
+ fs::remove(BlockFileSeq().FileName(pos));
+ fs::remove(UndoFileSeq().FileName(pos));
+ LogPrint(BCLog::BLOCKSTORE, "Prune: %s deleted blk/rev (%05u)\n", __func__, *it);
+ }
+}
+
+static FlatFileSeq BlockFileSeq()
+{
+ return FlatFileSeq(gArgs.GetBlocksDirPath(), "blk", gArgs.GetBoolArg("-fastprune", false) ? 0x4000 /* 16kb */ : BLOCKFILE_CHUNK_SIZE);
+}
+
+static FlatFileSeq UndoFileSeq()
+{
+ return FlatFileSeq(gArgs.GetBlocksDirPath(), "rev", UNDOFILE_CHUNK_SIZE);
+}
+
+FILE* OpenBlockFile(const FlatFilePos& pos, bool fReadOnly)
+{
+ return BlockFileSeq().Open(pos, fReadOnly);
+}
+
+/** Open an undo file (rev?????.dat) */
+static FILE* OpenUndoFile(const FlatFilePos& pos, bool fReadOnly)
+{
+ return UndoFileSeq().Open(pos, fReadOnly);
+}
+
+fs::path GetBlockPosFilename(const FlatFilePos& pos)
+{
+ return BlockFileSeq().FileName(pos);
+}
+
+bool BlockManager::FindBlockPos(FlatFilePos& pos, unsigned int nAddSize, unsigned int nHeight, CChain& active_chain, uint64_t nTime, bool fKnown)
+{
+ LOCK(cs_LastBlockFile);
+
+ unsigned int nFile = fKnown ? pos.nFile : m_last_blockfile;
+ if (m_blockfile_info.size() <= nFile) {
+ m_blockfile_info.resize(nFile + 1);
+ }
+
+ bool finalize_undo = false;
+ if (!fKnown) {
+ while (m_blockfile_info[nFile].nSize + nAddSize >= (gArgs.GetBoolArg("-fastprune", false) ? 0x10000 /* 64kb */ : MAX_BLOCKFILE_SIZE)) {
+ // when the undo file is keeping up with the block file, we want to flush it explicitly
+ // when it is lagging behind (more blocks arrive than are being connected), we let the
+ // undo block write case handle it
+ finalize_undo = (m_blockfile_info[nFile].nHeightLast == (unsigned int)active_chain.Tip()->nHeight);
+ nFile++;
+ if (m_blockfile_info.size() <= nFile) {
+ m_blockfile_info.resize(nFile + 1);
+ }
+ }
+ pos.nFile = nFile;
+ pos.nPos = m_blockfile_info[nFile].nSize;
+ }
+
+ if ((int)nFile != m_last_blockfile) {
+ if (!fKnown) {
+ LogPrint(BCLog::BLOCKSTORE, "Leaving block file %i: %s\n", m_last_blockfile, m_blockfile_info[m_last_blockfile].ToString());
+ }
+ FlushBlockFile(!fKnown, finalize_undo);
+ m_last_blockfile = nFile;
+ }
+
+ m_blockfile_info[nFile].AddBlock(nHeight, nTime);
+ if (fKnown) {
+ m_blockfile_info[nFile].nSize = std::max(pos.nPos + nAddSize, m_blockfile_info[nFile].nSize);
+ } else {
+ m_blockfile_info[nFile].nSize += nAddSize;
+ }
+
+ if (!fKnown) {
+ bool out_of_space;
+ size_t bytes_allocated = BlockFileSeq().Allocate(pos, nAddSize, out_of_space);
+ if (out_of_space) {
+ return AbortNode("Disk space is too low!", _("Disk space is too low!"));
+ }
+ if (bytes_allocated != 0 && fPruneMode) {
+ m_check_for_pruning = true;
+ }
+ }
+
+ m_dirty_fileinfo.insert(nFile);
+ return true;
+}
+
+bool BlockManager::FindUndoPos(BlockValidationState& state, int nFile, FlatFilePos& pos, unsigned int nAddSize)
+{
+ pos.nFile = nFile;
+
+ LOCK(cs_LastBlockFile);
+
+ pos.nPos = m_blockfile_info[nFile].nUndoSize;
+ m_blockfile_info[nFile].nUndoSize += nAddSize;
+ m_dirty_fileinfo.insert(nFile);
+
+ bool out_of_space;
+ size_t bytes_allocated = UndoFileSeq().Allocate(pos, nAddSize, out_of_space);
+ if (out_of_space) {
+ return AbortNode(state, "Disk space is too low!", _("Disk space is too low!"));
+ }
+ if (bytes_allocated != 0 && fPruneMode) {
+ m_check_for_pruning = true;
+ }
+
+ return true;
+}
+
+static bool WriteBlockToDisk(const CBlock& block, FlatFilePos& pos, const CMessageHeader::MessageStartChars& messageStart)
+{
+ // Open history file to append
+ CAutoFile fileout(OpenBlockFile(pos), SER_DISK, CLIENT_VERSION);
+ if (fileout.IsNull()) {
+ return error("WriteBlockToDisk: OpenBlockFile failed");
+ }
+
+ // Write index header
+ unsigned int nSize = GetSerializeSize(block, fileout.GetVersion());
+ fileout << messageStart << nSize;
+
+ // Write block
+ long fileOutPos = ftell(fileout.Get());
+ if (fileOutPos < 0) {
+ return error("WriteBlockToDisk: ftell failed");
+ }
+ pos.nPos = (unsigned int)fileOutPos;
+ fileout << block;
+
+ return true;
+}
+
+bool BlockManager::WriteUndoDataForBlock(const CBlockUndo& blockundo, BlockValidationState& state, CBlockIndex* pindex, const CChainParams& chainparams)
+{
+ AssertLockHeld(::cs_main);
+ // Write undo information to disk
+ if (pindex->GetUndoPos().IsNull()) {
+ FlatFilePos _pos;
+ if (!FindUndoPos(state, pindex->nFile, _pos, ::GetSerializeSize(blockundo, CLIENT_VERSION) + 40)) {
+ return error("ConnectBlock(): FindUndoPos failed");
+ }
+ if (!UndoWriteToDisk(blockundo, _pos, pindex->pprev->GetBlockHash(), chainparams.MessageStart())) {
+ return AbortNode(state, "Failed to write undo data");
+ }
+ // rev files are written in block height order, whereas blk files are written as blocks come in (often out of order)
+ // we want to flush the rev (undo) file once we've written the last block, which is indicated by the last height
+ // in the block file info as below; note that this does not catch the case where the undo writes are keeping up
+ // with the block writes (usually when a synced up node is getting newly mined blocks) -- this case is caught in
+ // the FindBlockPos function
+ if (_pos.nFile < m_last_blockfile && static_cast<uint32_t>(pindex->nHeight) == m_blockfile_info[_pos.nFile].nHeightLast) {
+ FlushUndoFile(_pos.nFile, true);
+ }
+
+ // update nUndoPos in block index
+ pindex->nUndoPos = _pos.nPos;
+ pindex->nStatus |= BLOCK_HAVE_UNDO;
+ m_dirty_blockindex.insert(pindex);
+ }
+
+ return true;
+}
+
+bool ReadBlockFromDisk(CBlock& block, const FlatFilePos& pos, const Consensus::Params& consensusParams)
+{
+ block.SetNull();
+
+ // Open history file to read
+ CAutoFile filein(OpenBlockFile(pos, true), SER_DISK, CLIENT_VERSION);
+ if (filein.IsNull()) {
+ return error("ReadBlockFromDisk: OpenBlockFile failed for %s", pos.ToString());
+ }
+
+ // Read block
+ try {
+ filein >> block;
+ } catch (const std::exception& e) {
+ return error("%s: Deserialize or I/O error - %s at %s", __func__, e.what(), pos.ToString());
+ }
+
+ // Check the header
+ if (!CheckProofOfWork(block.GetHash(), block.nBits, consensusParams)) {
+ return error("ReadBlockFromDisk: Errors in block header at %s", pos.ToString());
+ }
+
+ // Signet only: check block solution
+ if (consensusParams.signet_blocks && !CheckSignetBlockSolution(block, consensusParams)) {
+ return error("ReadBlockFromDisk: Errors in block solution at %s", pos.ToString());
+ }
+
+ return true;
+}
+
+bool ReadBlockFromDisk(CBlock& block, const CBlockIndex* pindex, const Consensus::Params& consensusParams)
+{
+ const FlatFilePos block_pos{WITH_LOCK(cs_main, return pindex->GetBlockPos())};
+
+ if (!ReadBlockFromDisk(block, block_pos, consensusParams)) {
+ return false;
+ }
+ if (block.GetHash() != pindex->GetBlockHash()) {
+ return error("ReadBlockFromDisk(CBlock&, CBlockIndex*): GetHash() doesn't match index for %s at %s",
+ pindex->ToString(), block_pos.ToString());
+ }
+ return true;
+}
+
+bool ReadRawBlockFromDisk(std::vector<uint8_t>& block, const FlatFilePos& pos, const CMessageHeader::MessageStartChars& message_start)
+{
+ FlatFilePos hpos = pos;
+ hpos.nPos -= 8; // Seek back 8 bytes for meta header
+ CAutoFile filein(OpenBlockFile(hpos, true), SER_DISK, CLIENT_VERSION);
+ if (filein.IsNull()) {
+ return error("%s: OpenBlockFile failed for %s", __func__, pos.ToString());
+ }
+
+ try {
+ CMessageHeader::MessageStartChars blk_start;
+ unsigned int blk_size;
+
+ filein >> blk_start >> blk_size;
+
+ if (memcmp(blk_start, message_start, CMessageHeader::MESSAGE_START_SIZE)) {
+ return error("%s: Block magic mismatch for %s: %s versus expected %s", __func__, pos.ToString(),
+ HexStr(blk_start),
+ HexStr(message_start));
+ }
+
+ if (blk_size > MAX_SIZE) {
+ return error("%s: Block data is larger than maximum deserialization size for %s: %s versus %s", __func__, pos.ToString(),
+ blk_size, MAX_SIZE);
+ }
+
+ block.resize(blk_size); // Zeroing of memory is intentional here
+ filein.read(MakeWritableByteSpan(block));
+ } catch (const std::exception& e) {
+ return error("%s: Read from block file failed: %s for %s", __func__, e.what(), pos.ToString());
+ }
+
+ return true;
+}
+
+/** Store block on disk. If dbp is non-nullptr, the file is known to already reside on disk */
+FlatFilePos BlockManager::SaveBlockToDisk(const CBlock& block, int nHeight, CChain& active_chain, const CChainParams& chainparams, const FlatFilePos* dbp)
+{
+ unsigned int nBlockSize = ::GetSerializeSize(block, CLIENT_VERSION);
+ FlatFilePos blockPos;
+ if (dbp != nullptr) {
+ blockPos = *dbp;
+ }
+ if (!FindBlockPos(blockPos, nBlockSize + 8, nHeight, active_chain, block.GetBlockTime(), dbp != nullptr)) {
+ error("%s: FindBlockPos failed", __func__);
+ return FlatFilePos();
+ }
+ if (dbp == nullptr) {
+ if (!WriteBlockToDisk(block, blockPos, chainparams.MessageStart())) {
+ AbortNode("Failed to write block");
+ return FlatFilePos();
+ }
+ }
+ return blockPos;
+}
+
+struct CImportingNow {
+ CImportingNow()
+ {
+ assert(fImporting == false);
+ fImporting = true;
+ }
+
+ ~CImportingNow()
+ {
+ assert(fImporting == true);
+ fImporting = false;
+ }
+};
+
+void ThreadImport(ChainstateManager& chainman, std::vector<fs::path> vImportFiles, const ArgsManager& args)
+{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::INITIALIZATION_LOAD_BLOCKS);
+ ScheduleBatchPriority();
+
+ {
+ CImportingNow imp;
+
+ // -reindex
+ if (fReindex) {
+ int nFile = 0;
+ while (true) {
+ FlatFilePos pos(nFile, 0);
+ if (!fs::exists(GetBlockPosFilename(pos))) {
+ break; // No block files left to reindex
+ }
+ FILE* file = OpenBlockFile(pos, true);
+ if (!file) {
+ break; // This error is logged in OpenBlockFile
+ }
+ LogPrintf("Reindexing block file blk%05u.dat...\n", (unsigned int)nFile);
+ chainman.ActiveChainstate().LoadExternalBlockFile(file, &pos);
+ if (ShutdownRequested()) {
+ LogPrintf("Shutdown requested. Exit %s\n", __func__);
+ return;
+ }
+ nFile++;
+ }
+ WITH_LOCK(::cs_main, chainman.m_blockman.m_block_tree_db->WriteReindexing(false));
+ fReindex = false;
+ LogPrintf("Reindexing finished\n");
+ // To avoid ending up in a situation without genesis block, re-try initializing (no-op if reindexing worked):
+ chainman.ActiveChainstate().LoadGenesisBlock();
+ }
+
+ // -loadblock=
+ for (const fs::path& path : vImportFiles) {
+ FILE* file = fsbridge::fopen(path, "rb");
+ if (file) {
+ LogPrintf("Importing blocks file %s...\n", fs::PathToString(path));
+ chainman.ActiveChainstate().LoadExternalBlockFile(file);
+ if (ShutdownRequested()) {
+ LogPrintf("Shutdown requested. Exit %s\n", __func__);
+ return;
+ }
+ } else {
+ LogPrintf("Warning: Could not open blocks file %s\n", fs::PathToString(path));
+ }
+ }
+
+ // scan for better chains in the block chain database, that are not yet connected in the active best chain
+
+ // We can't hold cs_main during ActivateBestChain even though we're accessing
+ // the chainman unique_ptrs since ABC requires us not to be holding cs_main, so retrieve
+ // the relevant pointers before the ABC call.
+ for (CChainState* chainstate : WITH_LOCK(::cs_main, return chainman.GetAll())) {
+ BlockValidationState state;
+ if (!chainstate->ActivateBestChain(state, nullptr)) {
+ LogPrintf("Failed to connect best block (%s)\n", state.ToString());
+ StartShutdown();
+ return;
+ }
+ }
+
+ if (args.GetBoolArg("-stopafterblockimport", DEFAULT_STOPAFTERBLOCKIMPORT)) {
+ LogPrintf("Stopping after block import\n");
+ StartShutdown();
+ return;
+ }
+ } // End scope of CImportingNow
+ chainman.ActiveChainstate().LoadMempool(args);
+}
+} // namespace node
diff --git a/src/node/blockstorage.h b/src/node/blockstorage.h
new file mode 100644
index 0000000000..42e46797d2
--- /dev/null
+++ b/src/node/blockstorage.h
@@ -0,0 +1,194 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_NODE_BLOCKSTORAGE_H
+#define BITCOIN_NODE_BLOCKSTORAGE_H
+
+#include <fs.h>
+#include <protocol.h> // For CMessageHeader::MessageStartChars
+#include <sync.h>
+#include <txdb.h>
+
+#include <atomic>
+#include <cstdint>
+#include <vector>
+
+extern RecursiveMutex cs_main;
+
+class ArgsManager;
+class BlockValidationState;
+class CBlock;
+class CBlockFileInfo;
+class CBlockIndex;
+class CBlockUndo;
+class CChain;
+class CChainParams;
+class CChainState;
+class ChainstateManager;
+struct CCheckpointData;
+struct FlatFilePos;
+namespace Consensus {
+struct Params;
+}
+
+namespace node {
+static constexpr bool DEFAULT_STOPAFTERBLOCKIMPORT{false};
+
+/** The pre-allocation chunk size for blk?????.dat files (since 0.8) */
+static const unsigned int BLOCKFILE_CHUNK_SIZE = 0x1000000; // 16 MiB
+/** The pre-allocation chunk size for rev?????.dat files (since 0.8) */
+static const unsigned int UNDOFILE_CHUNK_SIZE = 0x100000; // 1 MiB
+/** The maximum size of a blk?????.dat file (since 0.8) */
+static const unsigned int MAX_BLOCKFILE_SIZE = 0x8000000; // 128 MiB
+
+extern std::atomic_bool fImporting;
+extern std::atomic_bool fReindex;
+/** Pruning-related variables and constants */
+/** True if any block files have ever been pruned. */
+extern bool fHavePruned;
+/** True if we're running in -prune mode. */
+extern bool fPruneMode;
+/** Number of MiB of block files that we're trying to stay below. */
+extern uint64_t nPruneTarget;
+
+typedef std::unordered_map<uint256, CBlockIndex*, BlockHasher> BlockMap;
+
+struct CBlockIndexWorkComparator {
+ bool operator()(const CBlockIndex* pa, const CBlockIndex* pb) const;
+};
+
+/**
+ * Maintains a tree of blocks (stored in `m_block_index`) which is consulted
+ * to determine where the most-work tip is.
+ *
+ * This data is used mostly in `CChainState` - information about, e.g.,
+ * candidate tips is not maintained here.
+ */
+class BlockManager
+{
+ friend CChainState;
+ friend ChainstateManager;
+
+private:
+ void FlushBlockFile(bool fFinalize = false, bool finalize_undo = false);
+ void FlushUndoFile(int block_file, bool finalize = false);
+ bool FindBlockPos(FlatFilePos& pos, unsigned int nAddSize, unsigned int nHeight, CChain& active_chain, uint64_t nTime, bool fKnown);
+ bool FindUndoPos(BlockValidationState& state, int nFile, FlatFilePos& pos, unsigned int nAddSize);
+
+ /* Calculate the block/rev files to delete based on height specified by user with RPC command pruneblockchain */
+ void FindFilesToPruneManual(std::set<int>& setFilesToPrune, int nManualPruneHeight, int chain_tip_height);
+
+ /**
+ * Prune block and undo files (blk???.dat and rev???.dat) so that the disk space used is less than a user-defined target.
+ * The user sets the target (in MB) on the command line or in config file. This will be run on startup and whenever new
+ * space is allocated in a block or undo file, staying below the target. Changing back to unpruned requires a reindex
+ * (which in this case means the blockchain must be re-downloaded.)
+ *
+ * Pruning functions are called from FlushStateToDisk when the m_check_for_pruning flag has been set.
+ * Block and undo files are deleted in lock-step (when blk00003.dat is deleted, so is rev00003.dat.)
+ * Pruning cannot take place until the longest chain is at least a certain length (CChainParams::nPruneAfterHeight).
+ * Pruning will never delete a block within a defined distance (currently 288) from the active chain's tip.
+ * The block index is updated by unsetting HAVE_DATA and HAVE_UNDO for any blocks that were stored in the deleted files.
+ * A db flag records the fact that at least some block files have been pruned.
+ *
+ * @param[out] setFilesToPrune The set of file indices that can be unlinked will be returned
+ */
+ void FindFilesToPrune(std::set<int>& setFilesToPrune, uint64_t nPruneAfterHeight, int chain_tip_height, int prune_height, bool is_ibd);
+
+ RecursiveMutex cs_LastBlockFile;
+ std::vector<CBlockFileInfo> m_blockfile_info;
+ int m_last_blockfile = 0;
+ /** Global flag to indicate we should check to see if there are
+ * block/undo files that should be deleted. Set on startup
+ * or if we allocate more file space when we're in prune mode
+ */
+ bool m_check_for_pruning = false;
+
+ /** Dirty block index entries. */
+ std::set<CBlockIndex*> m_dirty_blockindex;
+
+ /** Dirty block file entries. */
+ std::set<int> m_dirty_fileinfo;
+
+public:
+ BlockMap m_block_index GUARDED_BY(cs_main);
+
+ /**
+ * All pairs A->B, where A (or one of its ancestors) misses transactions, but B has transactions.
+ * Pruned nodes may have entries where B is missing data.
+ */
+ std::multimap<CBlockIndex*, CBlockIndex*> m_blocks_unlinked;
+
+ std::unique_ptr<CBlockTreeDB> m_block_tree_db GUARDED_BY(::cs_main);
+
+ bool WriteBlockIndexDB() EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
+ bool LoadBlockIndexDB(ChainstateManager& chainman) EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
+
+ /**
+ * Load the blocktree off disk and into memory. Populate certain metadata
+ * per index entry (nStatus, nChainWork, nTimeMax, etc.) as well as peripheral
+ * collections like m_dirty_blockindex.
+ */
+ bool LoadBlockIndex(
+ const Consensus::Params& consensus_params,
+ ChainstateManager& chainman) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ /** Clear all data members. */
+ void Unload() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ CBlockIndex* AddToBlockIndex(const CBlockHeader& block) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ /** Create a new block index entry for a given block hash */
+ CBlockIndex* InsertBlockIndex(const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ //! Mark one block file as pruned (modify associated database entries)
+ void PruneOneBlockFile(const int fileNumber) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ CBlockIndex* LookupBlockIndex(const uint256& hash) const EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ /** Get block file info entry for one block file */
+ CBlockFileInfo* GetBlockFileInfo(size_t n);
+
+ bool WriteUndoDataForBlock(const CBlockUndo& blockundo, BlockValidationState& state, CBlockIndex* pindex, const CChainParams& chainparams)
+ EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
+
+ FlatFilePos SaveBlockToDisk(const CBlock& block, int nHeight, CChain& active_chain, const CChainParams& chainparams, const FlatFilePos* dbp);
+
+ /** Calculate the amount of disk space the block & undo files currently use */
+ uint64_t CalculateCurrentUsage();
+
+ //! Returns last CBlockIndex* that is a checkpoint
+ CBlockIndex* GetLastCheckpoint(const CCheckpointData& data) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ ~BlockManager()
+ {
+ Unload();
+ }
+};
+
+//! Check whether the block associated with this index entry is pruned or not.
+bool IsBlockPruned(const CBlockIndex* pblockindex) EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
+
+void CleanupBlockRevFiles();
+
+/** Open a block file (blk?????.dat) */
+FILE* OpenBlockFile(const FlatFilePos& pos, bool fReadOnly = false);
+/** Translation to a filesystem path */
+fs::path GetBlockPosFilename(const FlatFilePos& pos);
+
+/**
+ * Actually unlink the specified files
+ */
+void UnlinkPrunedFiles(const std::set<int>& setFilesToPrune);
+
+/** Functions for disk access for blocks */
+bool ReadBlockFromDisk(CBlock& block, const FlatFilePos& pos, const Consensus::Params& consensusParams);
+bool ReadBlockFromDisk(CBlock& block, const CBlockIndex* pindex, const Consensus::Params& consensusParams);
+bool ReadRawBlockFromDisk(std::vector<uint8_t>& block, const FlatFilePos& pos, const CMessageHeader::MessageStartChars& message_start);
+
+bool UndoReadFromDisk(CBlockUndo& blockundo, const CBlockIndex* pindex);
+
+void ThreadImport(ChainstateManager& chainman, std::vector<fs::path> vImportFiles, const ArgsManager& args);
+} // namespace node
+
+#endif // BITCOIN_NODE_BLOCKSTORAGE_H
diff --git a/src/node/caches.cpp b/src/node/caches.cpp
new file mode 100644
index 0000000000..f168332ee6
--- /dev/null
+++ b/src/node/caches.cpp
@@ -0,0 +1,34 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <node/caches.h>
+
+#include <txdb.h>
+#include <util/system.h>
+#include <validation.h>
+
+namespace node {
+CacheSizes CalculateCacheSizes(const ArgsManager& args, size_t n_indexes)
+{
+ int64_t nTotalCache = (args.GetIntArg("-dbcache", nDefaultDbCache) << 20);
+ nTotalCache = std::max(nTotalCache, nMinDbCache << 20); // total cache cannot be less than nMinDbCache
+ nTotalCache = std::min(nTotalCache, nMaxDbCache << 20); // total cache cannot be greater than nMaxDbcache
+ CacheSizes sizes;
+ sizes.block_tree_db = std::min(nTotalCache / 8, nMaxBlockDBCache << 20);
+ nTotalCache -= sizes.block_tree_db;
+ sizes.tx_index = std::min(nTotalCache / 8, args.GetBoolArg("-txindex", DEFAULT_TXINDEX) ? nMaxTxIndexCache << 20 : 0);
+ nTotalCache -= sizes.tx_index;
+ sizes.filter_index = 0;
+ if (n_indexes > 0) {
+ int64_t max_cache = std::min(nTotalCache / 8, max_filter_index_cache << 20);
+ sizes.filter_index = max_cache / n_indexes;
+ nTotalCache -= sizes.filter_index * n_indexes;
+ }
+ sizes.coins_db = std::min(nTotalCache / 2, (nTotalCache / 4) + (1 << 23)); // use 25%-50% of the remainder for disk cache
+ sizes.coins_db = std::min(sizes.coins_db, nMaxCoinsDBCache << 20); // cap total coins db cache
+ nTotalCache -= sizes.coins_db;
+ sizes.coins = nTotalCache; // the rest goes to in-memory cache
+ return sizes;
+}
+} // namespace node
diff --git a/src/node/caches.h b/src/node/caches.h
new file mode 100644
index 0000000000..67388b91fd
--- /dev/null
+++ b/src/node/caches.h
@@ -0,0 +1,24 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_NODE_CACHES_H
+#define BITCOIN_NODE_CACHES_H
+
+#include <cstddef>
+#include <cstdint>
+
+class ArgsManager;
+
+namespace node {
+struct CacheSizes {
+ int64_t block_tree_db;
+ int64_t coins_db;
+ int64_t coins;
+ int64_t tx_index;
+ int64_t filter_index;
+};
+CacheSizes CalculateCacheSizes(const ArgsManager& args, size_t n_indexes = 0);
+} // namespace node
+
+#endif // BITCOIN_NODE_CACHES_H
diff --git a/src/node/chainstate.cpp b/src/node/chainstate.cpp
new file mode 100644
index 0000000000..e21116dd7e
--- /dev/null
+++ b/src/node/chainstate.cpp
@@ -0,0 +1,160 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <node/chainstate.h>
+
+#include <consensus/params.h>
+#include <node/blockstorage.h>
+#include <validation.h>
+
+namespace node {
+std::optional<ChainstateLoadingError> LoadChainstate(bool fReset,
+ ChainstateManager& chainman,
+ CTxMemPool* mempool,
+ bool fPruneMode,
+ const Consensus::Params& consensus_params,
+ bool fReindexChainState,
+ int64_t nBlockTreeDBCache,
+ int64_t nCoinDBCache,
+ int64_t nCoinCacheUsage,
+ bool block_tree_db_in_memory,
+ bool coins_db_in_memory,
+ std::function<bool()> shutdown_requested,
+ std::function<void()> coins_error_cb)
+{
+ auto is_coinsview_empty = [&](CChainState* chainstate) EXCLUSIVE_LOCKS_REQUIRED(::cs_main) {
+ return fReset || fReindexChainState || chainstate->CoinsTip().GetBestBlock().IsNull();
+ };
+
+ LOCK(cs_main);
+ chainman.InitializeChainstate(mempool);
+ chainman.m_total_coinstip_cache = nCoinCacheUsage;
+ chainman.m_total_coinsdb_cache = nCoinDBCache;
+
+ UnloadBlockIndex(mempool, chainman);
+
+ auto& pblocktree{chainman.m_blockman.m_block_tree_db};
+ // new CBlockTreeDB tries to delete the existing file, which
+ // fails if it's still open from the previous loop. Close it first:
+ pblocktree.reset();
+ pblocktree.reset(new CBlockTreeDB(nBlockTreeDBCache, block_tree_db_in_memory, fReset));
+
+ if (fReset) {
+ pblocktree->WriteReindexing(true);
+ //If we're reindexing in prune mode, wipe away unusable block files and all undo data files
+ if (fPruneMode)
+ CleanupBlockRevFiles();
+ }
+
+ if (shutdown_requested && shutdown_requested()) return ChainstateLoadingError::SHUTDOWN_PROBED;
+
+ // LoadBlockIndex will load fHavePruned if we've ever removed a
+ // block file from disk.
+ // Note that it also sets fReindex based on the disk flag!
+ // From here on out fReindex and fReset mean something different!
+ if (!chainman.LoadBlockIndex()) {
+ if (shutdown_requested && shutdown_requested()) return ChainstateLoadingError::SHUTDOWN_PROBED;
+ return ChainstateLoadingError::ERROR_LOADING_BLOCK_DB;
+ }
+
+ if (!chainman.BlockIndex().empty() &&
+ !chainman.m_blockman.LookupBlockIndex(consensus_params.hashGenesisBlock)) {
+ return ChainstateLoadingError::ERROR_BAD_GENESIS_BLOCK;
+ }
+
+ // Check for changed -prune state. What we are concerned about is a user who has pruned blocks
+ // in the past, but is now trying to run unpruned.
+ if (fHavePruned && !fPruneMode) {
+ return ChainstateLoadingError::ERROR_PRUNED_NEEDS_REINDEX;
+ }
+
+ // At this point blocktree args are consistent with what's on disk.
+ // If we're not mid-reindex (based on disk + args), add a genesis block on disk
+ // (otherwise we use the one already on disk).
+ // This is called again in ThreadImport after the reindex completes.
+ if (!fReindex && !chainman.ActiveChainstate().LoadGenesisBlock()) {
+ return ChainstateLoadingError::ERROR_LOAD_GENESIS_BLOCK_FAILED;
+ }
+
+ // At this point we're either in reindex or we've loaded a useful
+ // block tree into BlockIndex()!
+
+ for (CChainState* chainstate : chainman.GetAll()) {
+ chainstate->InitCoinsDB(
+ /* cache_size_bytes */ nCoinDBCache,
+ /* in_memory */ coins_db_in_memory,
+ /* should_wipe */ fReset || fReindexChainState);
+
+ if (coins_error_cb) {
+ chainstate->CoinsErrorCatcher().AddReadErrCallback(coins_error_cb);
+ }
+
+ // If necessary, upgrade from older database format.
+ // This is a no-op if we cleared the coinsviewdb with -reindex or -reindex-chainstate
+ if (!chainstate->CoinsDB().Upgrade()) {
+ return ChainstateLoadingError::ERROR_CHAINSTATE_UPGRADE_FAILED;
+ }
+
+ // ReplayBlocks is a no-op if we cleared the coinsviewdb with -reindex or -reindex-chainstate
+ if (!chainstate->ReplayBlocks()) {
+ return ChainstateLoadingError::ERROR_REPLAYBLOCKS_FAILED;
+ }
+
+ // The on-disk coinsdb is now in a good state, create the cache
+ chainstate->InitCoinsCache(nCoinCacheUsage);
+ assert(chainstate->CanFlushToDisk());
+
+ if (!is_coinsview_empty(chainstate)) {
+ // LoadChainTip initializes the chain based on CoinsTip()'s best block
+ if (!chainstate->LoadChainTip()) {
+ return ChainstateLoadingError::ERROR_LOADCHAINTIP_FAILED;
+ }
+ assert(chainstate->m_chain.Tip() != nullptr);
+ }
+ }
+
+ if (!fReset) {
+ auto chainstates{chainman.GetAll()};
+ if (std::any_of(chainstates.begin(), chainstates.end(),
+ [](const CChainState* cs) EXCLUSIVE_LOCKS_REQUIRED(cs_main) { return cs->NeedsRedownload(); })) {
+ return ChainstateLoadingError::ERROR_BLOCKS_WITNESS_INSUFFICIENTLY_VALIDATED;
+ }
+ }
+
+ return std::nullopt;
+}
+
+std::optional<ChainstateLoadVerifyError> VerifyLoadedChainstate(ChainstateManager& chainman,
+ bool fReset,
+ bool fReindexChainState,
+ const Consensus::Params& consensus_params,
+ unsigned int check_blocks,
+ unsigned int check_level,
+ std::function<int64_t()> get_unix_time_seconds)
+{
+ auto is_coinsview_empty = [&](CChainState* chainstate) EXCLUSIVE_LOCKS_REQUIRED(::cs_main) {
+ return fReset || fReindexChainState || chainstate->CoinsTip().GetBestBlock().IsNull();
+ };
+
+ LOCK(cs_main);
+
+ for (CChainState* chainstate : chainman.GetAll()) {
+ if (!is_coinsview_empty(chainstate)) {
+ const CBlockIndex* tip = chainstate->m_chain.Tip();
+ if (tip && tip->nTime > get_unix_time_seconds() + MAX_FUTURE_BLOCK_TIME) {
+ return ChainstateLoadVerifyError::ERROR_BLOCK_FROM_FUTURE;
+ }
+
+ if (!CVerifyDB().VerifyDB(
+ *chainstate, consensus_params, chainstate->CoinsDB(),
+ check_level,
+ check_blocks)) {
+ return ChainstateLoadVerifyError::ERROR_CORRUPTED_BLOCK_DB;
+ }
+ }
+ }
+
+ return std::nullopt;
+}
+} // namespace node
diff --git a/src/node/chainstate.h b/src/node/chainstate.h
new file mode 100644
index 0000000000..279f187642
--- /dev/null
+++ b/src/node/chainstate.h
@@ -0,0 +1,87 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_NODE_CHAINSTATE_H
+#define BITCOIN_NODE_CHAINSTATE_H
+
+#include <cstdint>
+#include <functional>
+#include <optional>
+
+class ChainstateManager;
+class CTxMemPool;
+namespace Consensus {
+struct Params;
+} // namespace Consensus
+
+namespace node {
+enum class ChainstateLoadingError {
+ ERROR_LOADING_BLOCK_DB,
+ ERROR_BAD_GENESIS_BLOCK,
+ ERROR_PRUNED_NEEDS_REINDEX,
+ ERROR_LOAD_GENESIS_BLOCK_FAILED,
+ ERROR_CHAINSTATE_UPGRADE_FAILED,
+ ERROR_REPLAYBLOCKS_FAILED,
+ ERROR_LOADCHAINTIP_FAILED,
+ ERROR_GENERIC_BLOCKDB_OPEN_FAILED,
+ ERROR_BLOCKS_WITNESS_INSUFFICIENTLY_VALIDATED,
+ SHUTDOWN_PROBED,
+};
+
+/** This sequence can have 4 types of outcomes:
+ *
+ * 1. Success
+ * 2. Shutdown requested
+ * - nothing failed but a shutdown was triggered in the middle of the
+ * sequence
+ * 3. Soft failure
+ * - a failure that might be recovered from with a reindex
+ * 4. Hard failure
+ * - a failure that definitively cannot be recovered from with a reindex
+ *
+ * Currently, LoadChainstate returns a std::optional<ChainstateLoadingError>
+ * which:
+ *
+ * - if has_value()
+ * - Either "Soft failure", "Hard failure", or "Shutdown requested",
+ * differentiable by the specific enumerator.
+ *
+ * Note that a return value of SHUTDOWN_PROBED means ONLY that "during
+ * this sequence, when we explicitly checked shutdown_requested() at
+ * arbitrary points, one of those calls returned true". Therefore, a
+ * return value other than SHUTDOWN_PROBED does not guarantee that
+ * shutdown hasn't been called indirectly.
+ * - else
+ * - Success!
+ */
+std::optional<ChainstateLoadingError> LoadChainstate(bool fReset,
+ ChainstateManager& chainman,
+ CTxMemPool* mempool,
+ bool fPruneMode,
+ const Consensus::Params& consensus_params,
+ bool fReindexChainState,
+ int64_t nBlockTreeDBCache,
+ int64_t nCoinDBCache,
+ int64_t nCoinCacheUsage,
+ bool block_tree_db_in_memory,
+ bool coins_db_in_memory,
+ std::function<bool()> shutdown_requested = nullptr,
+ std::function<void()> coins_error_cb = nullptr);
+
+enum class ChainstateLoadVerifyError {
+ ERROR_BLOCK_FROM_FUTURE,
+ ERROR_CORRUPTED_BLOCK_DB,
+ ERROR_GENERIC_FAILURE,
+};
+
+std::optional<ChainstateLoadVerifyError> VerifyLoadedChainstate(ChainstateManager& chainman,
+ bool fReset,
+ bool fReindexChainState,
+ const Consensus::Params& consensus_params,
+ unsigned int check_blocks,
+ unsigned int check_level,
+ std::function<int64_t()> get_unix_time_seconds);
+} // namespace node
+
+#endif // BITCOIN_NODE_CHAINSTATE_H
diff --git a/src/node/coin.cpp b/src/node/coin.cpp
index f4f86cdbe9..221854c5f6 100644
--- a/src/node/coin.cpp
+++ b/src/node/coin.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,11 +8,13 @@
#include <txmempool.h>
#include <validation.h>
+namespace node {
void FindCoins(const NodeContext& node, std::map<COutPoint, Coin>& coins)
{
assert(node.mempool);
+ assert(node.chainman);
LOCK2(cs_main, node.mempool->cs);
- CCoinsViewCache& chain_view = ::ChainstateActive().CoinsTip();
+ CCoinsViewCache& chain_view = node.chainman->ActiveChainstate().CoinsTip();
CCoinsViewMemPool mempool_view(&chain_view, *node.mempool);
for (auto& coin : coins) {
if (!mempool_view.GetCoin(coin.first, coin.second)) {
@@ -21,3 +23,4 @@ void FindCoins(const NodeContext& node, std::map<COutPoint, Coin>& coins)
}
}
}
+} // namespace node
diff --git a/src/node/coin.h b/src/node/coin.h
index 908850e2a5..3d534463e8 100644
--- a/src/node/coin.h
+++ b/src/node/coin.h
@@ -9,6 +9,8 @@
class COutPoint;
class Coin;
+
+namespace node {
struct NodeContext;
/**
@@ -19,6 +21,7 @@ struct NodeContext;
* @param[in] node The node context to use for lookup
* @param[in,out] coins map to fill
*/
-void FindCoins(const NodeContext& node, std::map<COutPoint, Coin>& coins);
+void FindCoins(const node::NodeContext& node, std::map<COutPoint, Coin>& coins);
+} // namespace node
#endif // BITCOIN_NODE_COIN_H
diff --git a/src/node/coinstats.cpp b/src/node/coinstats.cpp
index 06fcc33725..eed43a1bc7 100644
--- a/src/node/coinstats.cpp
+++ b/src/node/coinstats.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,51 +8,33 @@
#include <coins.h>
#include <crypto/muhash.h>
#include <hash.h>
+#include <index/coinstatsindex.h>
#include <serialize.h>
#include <uint256.h>
+#include <util/overflow.h>
#include <util/system.h>
#include <validation.h>
#include <map>
-static uint64_t GetBogoSize(const CScript& scriptPubKey)
+namespace node {
+// Database-independent metric indicating the UTXO set size
+uint64_t GetBogoSize(const CScript& script_pub_key)
{
return 32 /* txid */ +
4 /* vout index */ +
4 /* height + coinbase */ +
8 /* amount */ +
2 /* scriptPubKey len */ +
- scriptPubKey.size() /* scriptPubKey */;
+ script_pub_key.size() /* scriptPubKey */;
}
-static void ApplyHash(CCoinsStats& stats, CHashWriter& ss, const uint256& hash, const std::map<uint32_t, Coin>& outputs, std::map<uint32_t, Coin>::const_iterator it)
-{
- if (it == outputs.begin()) {
- ss << hash;
- ss << VARINT(it->second.nHeight * 2 + it->second.fCoinBase ? 1u : 0u);
- }
-
- ss << VARINT(it->first + 1);
- ss << it->second.out.scriptPubKey;
- ss << VARINT_MODE(it->second.out.nValue, VarIntMode::NONNEGATIVE_SIGNED);
-
- if (it == std::prev(outputs.end())) {
- ss << VARINT(0u);
- }
-}
-
-static void ApplyHash(CCoinsStats& stats, std::nullptr_t, const uint256& hash, const std::map<uint32_t, Coin>& outputs, std::map<uint32_t, Coin>::const_iterator it) {}
-
-static void ApplyHash(CCoinsStats& stats, MuHash3072& muhash, const uint256& hash, const std::map<uint32_t, Coin>& outputs, std::map<uint32_t, Coin>::const_iterator it)
-{
- COutPoint outpoint = COutPoint(hash, it->first);
- Coin coin = it->second;
-
+CDataStream TxOutSer(const COutPoint& outpoint, const Coin& coin) {
CDataStream ss(SER_DISK, PROTOCOL_VERSION);
ss << outpoint;
ss << static_cast<uint32_t>(coin.nHeight * 2 + coin.fCoinBase);
ss << coin.out;
- muhash.Insert(MakeUCharSpan(ss));
+ return ss;
}
//! Warning: be very careful when changing this! assumeutxo and UTXO snapshot
@@ -67,32 +49,66 @@ static void ApplyHash(CCoinsStats& stats, MuHash3072& muhash, const uint256& has
//! It is also possible, though very unlikely, that a change in this
//! construction could cause a previously invalid (and potentially malicious)
//! UTXO snapshot to be considered valid.
-template <typename T>
-static void ApplyStats(CCoinsStats& stats, T& hash_obj, const uint256& hash, const std::map<uint32_t, Coin>& outputs)
+static void ApplyHash(CHashWriter& ss, const uint256& hash, const std::map<uint32_t, Coin>& outputs)
+{
+ for (auto it = outputs.begin(); it != outputs.end(); ++it) {
+ if (it == outputs.begin()) {
+ ss << hash;
+ ss << VARINT(it->second.nHeight * 2 + it->second.fCoinBase ? 1u : 0u);
+ }
+
+ ss << VARINT(it->first + 1);
+ ss << it->second.out.scriptPubKey;
+ ss << VARINT_MODE(it->second.out.nValue, VarIntMode::NONNEGATIVE_SIGNED);
+
+ if (it == std::prev(outputs.end())) {
+ ss << VARINT(0u);
+ }
+ }
+}
+
+static void ApplyHash(std::nullptr_t, const uint256& hash, const std::map<uint32_t, Coin>& outputs) {}
+
+static void ApplyHash(MuHash3072& muhash, const uint256& hash, const std::map<uint32_t, Coin>& outputs)
+{
+ for (auto it = outputs.begin(); it != outputs.end(); ++it) {
+ COutPoint outpoint = COutPoint(hash, it->first);
+ Coin coin = it->second;
+ muhash.Insert(MakeUCharSpan(TxOutSer(outpoint, coin)));
+ }
+}
+
+static void ApplyStats(CCoinsStats& stats, const uint256& hash, const std::map<uint32_t, Coin>& outputs)
{
assert(!outputs.empty());
stats.nTransactions++;
for (auto it = outputs.begin(); it != outputs.end(); ++it) {
- ApplyHash(stats, hash_obj, hash, outputs, it);
-
stats.nTransactionOutputs++;
- stats.nTotalAmount += it->second.out.nValue;
+ if (stats.total_amount.has_value()) {
+ stats.total_amount = CheckedAdd(*stats.total_amount, it->second.out.nValue);
+ }
stats.nBogoSize += GetBogoSize(it->second.out.scriptPubKey);
}
}
//! Calculate statistics about the unspent transaction output set
template <typename T>
-static bool GetUTXOStats(CCoinsView* view, CCoinsStats& stats, T hash_obj, const std::function<void()>& interruption_point)
+static bool GetUTXOStats(CCoinsView* view, BlockManager& blockman, CCoinsStats& stats, T hash_obj, const std::function<void()>& interruption_point, const CBlockIndex* pindex)
{
- stats = CCoinsStats();
std::unique_ptr<CCoinsViewCursor> pcursor(view->Cursor());
assert(pcursor);
- stats.hashBlock = pcursor->GetBestBlock();
- {
+ if (!pindex) {
LOCK(cs_main);
- stats.nHeight = g_chainman.m_blockman.LookupBlockIndex(stats.hashBlock)->nHeight;
+ pindex = blockman.LookupBlockIndex(view->GetBestBlock());
+ }
+ stats.nHeight = Assert(pindex)->nHeight;
+ stats.hashBlock = pindex->GetBlockHash();
+
+ // Use CoinStatsIndex if it is requested and available and a hash_type of Muhash or None was requested
+ if ((stats.m_hash_type == CoinStatsHashType::MUHASH || stats.m_hash_type == CoinStatsHashType::NONE) && g_coin_stats_index && stats.index_requested) {
+ stats.index_used = true;
+ return g_coin_stats_index->LookUpStats(pindex, stats);
}
PrepareHash(hash_obj, stats);
@@ -105,7 +121,8 @@ static bool GetUTXOStats(CCoinsView* view, CCoinsStats& stats, T hash_obj, const
Coin coin;
if (pcursor->GetKey(key) && pcursor->GetValue(coin)) {
if (!outputs.empty() && key.hash != prevkey) {
- ApplyStats(stats, hash_obj, prevkey, outputs);
+ ApplyStats(stats, prevkey, outputs);
+ ApplyHash(hash_obj, prevkey, outputs);
outputs.clear();
}
prevkey = key.hash;
@@ -117,7 +134,8 @@ static bool GetUTXOStats(CCoinsView* view, CCoinsStats& stats, T hash_obj, const
pcursor->Next();
}
if (!outputs.empty()) {
- ApplyStats(stats, hash_obj, prevkey, outputs);
+ ApplyStats(stats, prevkey, outputs);
+ ApplyHash(hash_obj, prevkey, outputs);
}
FinalizeHash(hash_obj, stats);
@@ -126,19 +144,19 @@ static bool GetUTXOStats(CCoinsView* view, CCoinsStats& stats, T hash_obj, const
return true;
}
-bool GetUTXOStats(CCoinsView* view, CCoinsStats& stats, CoinStatsHashType hash_type, const std::function<void()>& interruption_point)
+bool GetUTXOStats(CCoinsView* view, BlockManager& blockman, CCoinsStats& stats, const std::function<void()>& interruption_point, const CBlockIndex* pindex)
{
- switch (hash_type) {
+ switch (stats.m_hash_type) {
case(CoinStatsHashType::HASH_SERIALIZED): {
CHashWriter ss(SER_GETHASH, PROTOCOL_VERSION);
- return GetUTXOStats(view, stats, ss, interruption_point);
+ return GetUTXOStats(view, blockman, stats, ss, interruption_point, pindex);
}
case(CoinStatsHashType::MUHASH): {
MuHash3072 muhash;
- return GetUTXOStats(view, stats, muhash, interruption_point);
+ return GetUTXOStats(view, blockman, stats, muhash, interruption_point, pindex);
}
case(CoinStatsHashType::NONE): {
- return GetUTXOStats(view, stats, nullptr, interruption_point);
+ return GetUTXOStats(view, blockman, stats, nullptr, interruption_point, pindex);
}
} // no default case, so the compiler can warn about missing cases
assert(false);
@@ -164,3 +182,4 @@ static void FinalizeHash(MuHash3072& muhash, CCoinsStats& stats)
stats.hashSerialized = out;
}
static void FinalizeHash(std::nullptr_t, CCoinsStats& stats) {}
+} // namespace node
diff --git a/src/node/coinstats.h b/src/node/coinstats.h
index f02b95235f..aa771b18b0 100644
--- a/src/node/coinstats.h
+++ b/src/node/coinstats.h
@@ -1,27 +1,36 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_NODE_COINSTATS_H
#define BITCOIN_NODE_COINSTATS_H
-#include <amount.h>
+#include <chain.h>
+#include <coins.h>
+#include <consensus/amount.h>
+#include <streams.h>
#include <uint256.h>
#include <cstdint>
#include <functional>
class CCoinsView;
+namespace node {
+class BlockManager;
+} // namespace node
+namespace node {
enum class CoinStatsHashType {
HASH_SERIALIZED,
MUHASH,
NONE,
};
-struct CCoinsStats
-{
+struct CCoinsStats {
+ //! Which hash type to use
+ const CoinStatsHashType m_hash_type;
+
int nHeight{0};
uint256 hashBlock{};
uint64_t nTransactions{0};
@@ -29,13 +38,47 @@ struct CCoinsStats
uint64_t nBogoSize{0};
uint256 hashSerialized{};
uint64_t nDiskSize{0};
- CAmount nTotalAmount{0};
+ //! The total amount, or nullopt if an overflow occurred calculating it
+ std::optional<CAmount> total_amount{0};
//! The number of coins contained.
uint64_t coins_count{0};
+
+ //! Signals if the coinstatsindex should be used (when available).
+ bool index_requested{true};
+ //! Signals if the coinstatsindex was used to retrieve the statistics.
+ bool index_used{false};
+
+ // Following values are only available from coinstats index
+
+ //! Total cumulative amount of block subsidies up to and including this block
+ CAmount total_subsidy{0};
+ //! Total cumulative amount of unspendable coins up to and including this block
+ CAmount total_unspendable_amount{0};
+ //! Total cumulative amount of prevouts spent up to and including this block
+ CAmount total_prevout_spent_amount{0};
+ //! Total cumulative amount of outputs created up to and including this block
+ CAmount total_new_outputs_ex_coinbase_amount{0};
+ //! Total cumulative amount of coinbase outputs up to and including this block
+ CAmount total_coinbase_amount{0};
+ //! The unspendable coinbase amount from the genesis block
+ CAmount total_unspendables_genesis_block{0};
+ //! The two unspendable coinbase outputs total amount caused by BIP30
+ CAmount total_unspendables_bip30{0};
+ //! Total cumulative amount of outputs sent to unspendable scripts (OP_RETURN for example) up to and including this block
+ CAmount total_unspendables_scripts{0};
+ //! Total cumulative amount of coins lost due to unclaimed miner rewards up to and including this block
+ CAmount total_unspendables_unclaimed_rewards{0};
+
+ CCoinsStats(CoinStatsHashType hash_type) : m_hash_type(hash_type) {}
};
//! Calculate statistics about the unspent transaction output set
-bool GetUTXOStats(CCoinsView* view, CCoinsStats& stats, const CoinStatsHashType hash_type, const std::function<void()>& interruption_point = {});
+bool GetUTXOStats(CCoinsView* view, node::BlockManager& blockman, CCoinsStats& stats, const std::function<void()>& interruption_point = {}, const CBlockIndex* pindex = nullptr);
+
+uint64_t GetBogoSize(const CScript& script_pub_key);
+
+CDataStream TxOutSer(const COutPoint& outpoint, const Coin& coin);
+} // namespace node
#endif // BITCOIN_NODE_COINSTATS_H
diff --git a/src/node/context.cpp b/src/node/context.cpp
index 958221a913..893c32f1bc 100644
--- a/src/node/context.cpp
+++ b/src/node/context.cpp
@@ -4,6 +4,7 @@
#include <node/context.h>
+#include <addrman.h>
#include <banman.h>
#include <interfaces/chain.h>
#include <net.h>
@@ -11,6 +12,9 @@
#include <policy/fees.h>
#include <scheduler.h>
#include <txmempool.h>
+#include <validation.h>
+namespace node {
NodeContext::NodeContext() {}
NodeContext::~NodeContext() {}
+} // namespace node
diff --git a/src/node/context.h b/src/node/context.h
index 9b611bf8f5..644c997531 100644
--- a/src/node/context.h
+++ b/src/node/context.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,6 +12,7 @@
class ArgsManager;
class BanMan;
+class AddrMan;
class CBlockPolicyEstimator;
class CConnman;
class CScheduler;
@@ -21,9 +22,11 @@ class PeerManager;
namespace interfaces {
class Chain;
class ChainClient;
-class WalletClient;
+class Init;
+class WalletLoader;
} // namespace interfaces
+namespace node {
//! NodeContext struct containing references to chain state and connection
//! state.
//!
@@ -35,11 +38,14 @@ class WalletClient;
//! any member functions. It should just be a collection of references that can
//! be used without pulling in unwanted dependencies or functionality.
struct NodeContext {
+ //! Init interface for initializing current process and connecting to other processes.
+ interfaces::Init* init{nullptr};
+ std::unique_ptr<AddrMan> addrman;
std::unique_ptr<CConnman> connman;
std::unique_ptr<CTxMemPool> mempool;
std::unique_ptr<CBlockPolicyEstimator> fee_estimator;
std::unique_ptr<PeerManager> peerman;
- ChainstateManager* chainman{nullptr}; // Currently a raw pointer because the memory is not managed by this struct
+ std::unique_ptr<ChainstateManager> chainman;
std::unique_ptr<BanMan> banman;
ArgsManager* args{nullptr}; // Currently a raw pointer because the memory is not managed by this struct
std::unique_ptr<interfaces::Chain> chain;
@@ -47,7 +53,7 @@ struct NodeContext {
std::vector<std::unique_ptr<interfaces::ChainClient>> chain_clients;
//! Reference to chain client that should used to load or create wallets
//! opened by the gui.
- interfaces::WalletClient* wallet_client{nullptr};
+ interfaces::WalletLoader* wallet_loader{nullptr};
std::unique_ptr<CScheduler> scheduler;
std::function<void()> rpc_interruption_point = [] {};
@@ -57,5 +63,6 @@ struct NodeContext {
NodeContext();
~NodeContext();
};
+} // namespace node
#endif // BITCOIN_NODE_CONTEXT_H
diff --git a/src/node/interfaces.cpp b/src/node/interfaces.cpp
index ec976fe9bf..ffad289fa9 100644
--- a/src/node/interfaces.cpp
+++ b/src/node/interfaces.cpp
@@ -1,12 +1,13 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <addrdb.h>
#include <banman.h>
-#include <boost/signals2/signal.hpp>
#include <chain.h>
#include <chainparams.h>
+#include <deploymentstatus.h>
+#include <external_signer.h>
#include <init.h>
#include <interfaces/chain.h>
#include <interfaces/handler.h>
@@ -17,6 +18,7 @@
#include <net_processing.h>
#include <netaddress.h>
#include <netbase.h>
+#include <node/blockstorage.h>
#include <node/coin.h>
#include <node/context.h>
#include <node/transaction.h>
@@ -38,7 +40,6 @@
#include <uint256.h>
#include <univalue.h>
#include <util/check.h>
-#include <util/ref.h>
#include <util/system.h>
#include <util/translation.h>
#include <validation.h>
@@ -49,23 +50,40 @@
#include <config/bitcoin-config.h>
#endif
+#include <any>
#include <memory>
+#include <optional>
#include <utility>
+#include <boost/signals2/signal.hpp>
+
using interfaces::BlockTip;
using interfaces::Chain;
using interfaces::FoundBlock;
using interfaces::Handler;
using interfaces::MakeHandler;
using interfaces::Node;
-using interfaces::WalletClient;
+using interfaces::WalletLoader;
namespace node {
namespace {
+#ifdef ENABLE_EXTERNAL_SIGNER
+class ExternalSignerImpl : public interfaces::ExternalSigner
+{
+public:
+ ExternalSignerImpl(::ExternalSigner signer) : m_signer(std::move(signer)) {}
+ std::string getName() override { return m_signer.m_name; }
+private:
+ ::ExternalSigner m_signer;
+};
+#endif
+
class NodeImpl : public Node
{
+private:
+ ChainstateManager& chainman() { return *Assert(m_context->chainman); }
public:
- explicit NodeImpl(NodeContext* context) { setContext(context); }
+ explicit NodeImpl(NodeContext& context) { setContext(&context); }
void initLogging() override { InitLogging(*Assert(m_context->args)); }
void initParameterInteraction() override { InitParameterInteraction(*Assert(m_context->args)); }
bilingual_str getWarnings() override { return GetWarnings(true); }
@@ -77,7 +95,7 @@ public:
}
bool appInitMain(interfaces::BlockAndHeaderTipInfo* tip_info) override
{
- return AppInitMain(m_context_ref, *m_context, tip_info);
+ return AppInitMain(*m_context, tip_info);
}
void appShutdown() override
{
@@ -96,7 +114,7 @@ public:
bool shutdownRequested() override { return ShutdownRequested(); }
void mapPort(bool use_upnp, bool use_natpmp) override { StartMapPort(use_upnp, use_natpmp); }
bool getProxy(Network net, proxyType& proxy_info) override { return GetProxy(net, proxy_info); }
- size_t getNodeCount(CConnman::NumConnections flags) override
+ size_t getNodeCount(ConnectionDirection flags) override
{
return m_context->connman ? m_context->connman->GetNodeCount(flags) : 0;
}
@@ -165,6 +183,28 @@ public:
}
return false;
}
+ std::vector<std::unique_ptr<interfaces::ExternalSigner>> listExternalSigners() override
+ {
+#ifdef ENABLE_EXTERNAL_SIGNER
+ std::vector<ExternalSigner> signers = {};
+ const std::string command = gArgs.GetArg("-signer", "");
+ if (command == "") return {};
+ ExternalSigner::Enumerate(command, signers, Params().NetworkIDString());
+ std::vector<std::unique_ptr<interfaces::ExternalSigner>> result;
+ for (auto& signer : signers) {
+ result.emplace_back(std::make_unique<ExternalSignerImpl>(std::move(signer)));
+ }
+ return result;
+#else
+ // This result is indistinguishable from a successful call that returns
+ // no signers. For the current GUI this doesn't matter, because the wallet
+ // creation dialog disables the external signer checkbox in both
+ // cases. The return type could be changed to std::optional<std::vector>
+ // (or something that also includes error messages) if this distinction
+ // becomes important.
+ return {};
+#endif // ENABLE_EXTERNAL_SIGNER
+ }
int64_t getTotalBytesRecv() override { return m_context->connman ? m_context->connman->GetTotalBytesRecv() : 0; }
int64_t getTotalBytesSent() override { return m_context->connman ? m_context->connman->GetTotalBytesSent() : 0; }
size_t getMempoolSize() override { return m_context->mempool ? m_context->mempool->size() : 0; }
@@ -182,18 +222,18 @@ public:
int getNumBlocks() override
{
LOCK(::cs_main);
- return ::ChainActive().Height();
+ return chainman().ActiveChain().Height();
}
uint256 getBestBlockHash() override
{
- const CBlockIndex* tip = WITH_LOCK(::cs_main, return ::ChainActive().Tip());
+ const CBlockIndex* tip = WITH_LOCK(::cs_main, return chainman().ActiveChain().Tip());
return tip ? tip->GetBlockHash() : Params().GenesisBlock().GetHash();
}
int64_t getLastBlockTime() override
{
LOCK(::cs_main);
- if (::ChainActive().Tip()) {
- return ::ChainActive().Tip()->GetBlockTime();
+ if (chainman().ActiveChain().Tip()) {
+ return chainman().ActiveChain().Tip()->GetBlockTime();
}
return Params().GenesisBlock().GetBlockTime(); // Genesis block's time of current network
}
@@ -202,13 +242,15 @@ public:
const CBlockIndex* tip;
{
LOCK(::cs_main);
- tip = ::ChainActive().Tip();
+ tip = chainman().ActiveChain().Tip();
}
return GuessVerificationProgress(Params().TxData(), tip);
}
- bool isInitialBlockDownload() override { return ::ChainstateActive().IsInitialBlockDownload(); }
- bool getReindex() override { return ::fReindex; }
- bool getImporting() override { return ::fImporting; }
+ bool isInitialBlockDownload() override {
+ return chainman().ActiveChainstate().IsInitialBlockDownload();
+ }
+ bool getReindex() override { return node::fReindex; }
+ bool getImporting() override { return node::fImporting; }
void setNetworkActive(bool active) override
{
if (m_context->connman) {
@@ -219,7 +261,8 @@ public:
CFeeRate getDustRelayFee() override { return ::dustRelayFee; }
UniValue executeRpc(const std::string& command, const UniValue& params, const std::string& uri) override
{
- JSONRPCRequest req(m_context_ref);
+ JSONRPCRequest req;
+ req.context = m_context;
req.params = params;
req.strMethod = command;
req.URI = uri;
@@ -231,11 +274,15 @@ public:
bool getUnspentOutput(const COutPoint& output, Coin& coin) override
{
LOCK(::cs_main);
- return ::ChainstateActive().CoinsTip().GetCoin(output, coin);
+ return chainman().ActiveChainstate().CoinsTip().GetCoin(output, coin);
+ }
+ TransactionError broadcastTransaction(CTransactionRef tx, CAmount max_tx_fee, std::string& err_string) override
+ {
+ return BroadcastTransaction(*m_context, std::move(tx), err_string, max_tx_fee, /*relay=*/ true, /*wait_callback=*/ false);
}
- WalletClient& walletClient() override
+ WalletLoader& walletLoader() override
{
- return *Assert(m_context->wallet_client);
+ return *Assert(m_context->wallet_loader);
}
std::unique_ptr<Handler> handleInitMessage(InitMessageFn fn) override
{
@@ -253,6 +300,10 @@ public:
{
return MakeHandler(::uiInterface.ShowProgress_connect(fn));
}
+ std::unique_ptr<Handler> handleInitWallet(InitWalletFn fn) override
+ {
+ return MakeHandler(::uiInterface.InitWallet_connect(fn));
+ }
std::unique_ptr<Handler> handleNotifyNumConnectionsChanged(NotifyNumConnectionsChangedFn fn) override
{
return MakeHandler(::uiInterface.NotifyNumConnectionsChanged_connect(fn));
@@ -288,14 +339,8 @@ public:
void setContext(NodeContext* context) override
{
m_context = context;
- if (context) {
- m_context_ref.Set(*context);
- } else {
- m_context_ref.Clear();
- }
}
NodeContext* m_context{nullptr};
- util::Ref m_context_ref;
};
bool FillBlock(const CBlockIndex* index, const FoundBlock& block, UniqueLock<RecursiveMutex>& lock, const CChain& active)
@@ -312,6 +357,7 @@ bool FillBlock(const CBlockIndex* index, const FoundBlock& block, UniqueLock<Rec
REVERSE_LOCK(lock);
if (!ReadBlockFromDisk(*block.m_data, index, Params().GetConsensus())) block.m_data->SetNull();
}
+ block.found = true;
return true;
}
@@ -405,9 +451,11 @@ public:
class ChainImpl : public Chain
{
+private:
+ ChainstateManager& chainman() { return *Assert(m_node.chainman); }
public:
explicit ChainImpl(NodeContext& node) : m_node(node) {}
- Optional<int> getHeight() override
+ std::optional<int> getHeight() override
{
LOCK(::cs_main);
const CChain& active = Assert(m_node.chainman)->ActiveChain();
@@ -415,7 +463,7 @@ public:
if (height >= 0) {
return height;
}
- return nullopt;
+ return std::nullopt;
}
uint256 getBlockHash(int height) override
{
@@ -438,25 +486,20 @@ public:
const CChain& active = Assert(m_node.chainman)->ActiveChain();
return active.GetLocator();
}
- bool checkFinalTx(const CTransaction& tx) override
- {
- LOCK(cs_main);
- return CheckFinalTx(::ChainActive().Tip(), tx);
- }
- Optional<int> findLocatorFork(const CBlockLocator& locator) override
+ std::optional<int> findLocatorFork(const CBlockLocator& locator) override
{
LOCK(cs_main);
- const CChain& active = Assert(m_node.chainman)->ActiveChain();
- if (CBlockIndex* fork = g_chainman.m_blockman.FindForkInGlobalIndex(active, locator)) {
+ const CChainState& active = Assert(m_node.chainman)->ActiveChainstate();
+ if (CBlockIndex* fork = active.FindForkInGlobalIndex(locator)) {
return fork->nHeight;
}
- return nullopt;
+ return std::nullopt;
}
bool findBlock(const uint256& hash, const FoundBlock& block) override
{
WAIT_LOCK(cs_main, lock);
const CChain& active = Assert(m_node.chainman)->ActiveChain();
- return FillBlock(g_chainman.m_blockman.LookupBlockIndex(hash), block, lock, active);
+ return FillBlock(m_node.chainman->m_blockman.LookupBlockIndex(hash), block, lock, active);
}
bool findFirstBlockWithTimeAndHeight(int64_t min_time, int min_height, const FoundBlock& block) override
{
@@ -468,7 +511,7 @@ public:
{
WAIT_LOCK(cs_main, lock);
const CChain& active = Assert(m_node.chainman)->ActiveChain();
- if (const CBlockIndex* block = g_chainman.m_blockman.LookupBlockIndex(block_hash)) {
+ if (const CBlockIndex* block = m_node.chainman->m_blockman.LookupBlockIndex(block_hash)) {
if (const CBlockIndex* ancestor = block->GetAncestor(ancestor_height)) {
return FillBlock(ancestor, ancestor_out, lock, active);
}
@@ -479,8 +522,8 @@ public:
{
WAIT_LOCK(cs_main, lock);
const CChain& active = Assert(m_node.chainman)->ActiveChain();
- const CBlockIndex* block = g_chainman.m_blockman.LookupBlockIndex(block_hash);
- const CBlockIndex* ancestor = g_chainman.m_blockman.LookupBlockIndex(ancestor_hash);
+ const CBlockIndex* block = m_node.chainman->m_blockman.LookupBlockIndex(block_hash);
+ const CBlockIndex* ancestor = m_node.chainman->m_blockman.LookupBlockIndex(ancestor_hash);
if (block && ancestor && block->GetAncestor(ancestor->nHeight) != ancestor) ancestor = nullptr;
return FillBlock(ancestor, ancestor_out, lock, active);
}
@@ -488,20 +531,23 @@ public:
{
WAIT_LOCK(cs_main, lock);
const CChain& active = Assert(m_node.chainman)->ActiveChain();
- const CBlockIndex* block1 = g_chainman.m_blockman.LookupBlockIndex(block_hash1);
- const CBlockIndex* block2 = g_chainman.m_blockman.LookupBlockIndex(block_hash2);
+ const CBlockIndex* block1 = m_node.chainman->m_blockman.LookupBlockIndex(block_hash1);
+ const CBlockIndex* block2 = m_node.chainman->m_blockman.LookupBlockIndex(block_hash2);
const CBlockIndex* ancestor = block1 && block2 ? LastCommonAncestor(block1, block2) : nullptr;
// Using & instead of && below to avoid short circuiting and leaving
- // output uninitialized.
- return FillBlock(ancestor, ancestor_out, lock, active) & FillBlock(block1, block1_out, lock, active) & FillBlock(block2, block2_out, lock, active);
+ // output uninitialized. Cast bool to int to avoid -Wbitwise-instead-of-logical
+ // compiler warnings.
+ return int{FillBlock(ancestor, ancestor_out, lock, active)} &
+ int{FillBlock(block1, block1_out, lock, active)} &
+ int{FillBlock(block2, block2_out, lock, active)};
}
void findCoins(std::map<COutPoint, Coin>& coins) override { return FindCoins(m_node, coins); }
double guessVerificationProgress(const uint256& block_hash) override
{
LOCK(cs_main);
- return GuessVerificationProgress(Params().TxData(), g_chainman.m_blockman.LookupBlockIndex(block_hash));
+ return GuessVerificationProgress(Params().TxData(), chainman().m_blockman.LookupBlockIndex(block_hash));
}
- bool hasBlocks(const uint256& block_hash, int min_height, Optional<int> max_height) override
+ bool hasBlocks(const uint256& block_hash, int min_height, std::optional<int> max_height) override
{
// hasBlocks returns true if all ancestors of block_hash in specified
// range have block data (are not pruned), false if any ancestors in
@@ -511,7 +557,7 @@ public:
// used to limit the range, and passing min_height that's too low or
// max_height that's too high will not crash or change the result.
LOCK(::cs_main);
- if (CBlockIndex* block = g_chainman.m_blockman.LookupBlockIndex(block_hash)) {
+ if (CBlockIndex* block = chainman().m_blockman.LookupBlockIndex(block_hash)) {
if (max_height && block->nHeight >= *max_height) block = block->GetAncestor(*max_height);
for (; block->nStatus & BLOCK_HAVE_DATA; block = block->pprev) {
// Check pprev to not segfault if min_height is too low
@@ -526,6 +572,12 @@ public:
LOCK(m_node.mempool->cs);
return IsRBFOptIn(tx, *m_node.mempool);
}
+ bool isInMempool(const uint256& txid) override
+ {
+ if (!m_node.mempool) return false;
+ LOCK(m_node.mempool->cs);
+ return m_node.mempool->exists(GenTxid::Txid(txid));
+ }
bool hasDescendantsInMempool(const uint256& txid) override
{
if (!m_node.mempool) return false;
@@ -544,16 +596,16 @@ public:
// that Chain clients do not need to know about.
return TransactionError::OK == err;
}
- void getTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants) override
+ void getTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants, size_t* ancestorsize, CAmount* ancestorfees) override
{
ancestors = descendants = 0;
if (!m_node.mempool) return;
- m_node.mempool->GetTransactionAncestry(txid, ancestors, descendants);
+ m_node.mempool->GetTransactionAncestry(txid, ancestors, descendants, ancestorsize, ancestorfees);
}
void getPackageLimits(unsigned int& limit_ancestor_count, unsigned int& limit_descendant_count) override
{
- limit_ancestor_count = gArgs.GetArg("-limitancestorcount", DEFAULT_ANCESTOR_LIMIT);
- limit_descendant_count = gArgs.GetArg("-limitdescendantcount", DEFAULT_DESCENDANT_LIMIT);
+ limit_ancestor_count = gArgs.GetIntArg("-limitancestorcount", DEFAULT_ANCESTOR_LIMIT);
+ limit_descendant_count = gArgs.GetIntArg("-limitdescendantcount", DEFAULT_DESCENDANT_LIMIT);
}
bool checkChainLimits(const CTransactionRef& tx) override
{
@@ -561,10 +613,10 @@ public:
LockPoints lp;
CTxMemPoolEntry entry(tx, 0, 0, 0, false, 0, lp);
CTxMemPool::setEntries ancestors;
- auto limit_ancestor_count = gArgs.GetArg("-limitancestorcount", DEFAULT_ANCESTOR_LIMIT);
- auto limit_ancestor_size = gArgs.GetArg("-limitancestorsize", DEFAULT_ANCESTOR_SIZE_LIMIT) * 1000;
- auto limit_descendant_count = gArgs.GetArg("-limitdescendantcount", DEFAULT_DESCENDANT_LIMIT);
- auto limit_descendant_size = gArgs.GetArg("-limitdescendantsize", DEFAULT_DESCENDANT_SIZE_LIMIT) * 1000;
+ auto limit_ancestor_count = gArgs.GetIntArg("-limitancestorcount", DEFAULT_ANCESTOR_LIMIT);
+ auto limit_ancestor_size = gArgs.GetIntArg("-limitancestorsize", DEFAULT_ANCESTOR_SIZE_LIMIT) * 1000;
+ auto limit_descendant_count = gArgs.GetIntArg("-limitdescendantcount", DEFAULT_DESCENDANT_LIMIT);
+ auto limit_descendant_size = gArgs.GetIntArg("-limitdescendantsize", DEFAULT_DESCENDANT_SIZE_LIMIT) * 1000;
std::string unused_error_string;
LOCK(m_node.mempool->cs);
return m_node.mempool->CalculateMemPoolAncestors(
@@ -584,7 +636,7 @@ public:
CFeeRate mempoolMinFee() override
{
if (!m_node.mempool) return {};
- return m_node.mempool->GetMinFee(gArgs.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000);
+ return m_node.mempool->GetMinFee(gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000);
}
CFeeRate relayMinFee() override { return ::minRelayTxFee; }
CFeeRate relayIncrementalFee() override { return ::incrementalRelayFee; }
@@ -592,12 +644,13 @@ public:
bool havePruned() override
{
LOCK(cs_main);
- return ::fHavePruned;
+ return node::fHavePruned;
+ }
+ bool isReadyToBroadcast() override { return !node::fImporting && !node::fReindex && !isInitialBlockDownload(); }
+ bool isInitialBlockDownload() override {
+ return chainman().ActiveChainstate().IsInitialBlockDownload();
}
- bool isReadyToBroadcast() override { return !::fImporting && !::fReindex && !isInitialBlockDownload(); }
- bool isInitialBlockDownload() override { return ::ChainstateActive().IsInitialBlockDownload(); }
bool shutdownRequested() override { return ShutdownRequested(); }
- int64_t getAdjustedTime() override { return GetAdjustedTime(); }
void initMessage(const std::string& message) override { ::uiInterface.InitMessage(message); }
void initWarning(const bilingual_str& message) override { InitWarning(message); }
void initError(const bilingual_str& message) override { InitError(message); }
@@ -607,7 +660,7 @@ public:
}
std::unique_ptr<Handler> handleNotifications(std::shared_ptr<Notifications> notifications) override
{
- return MakeUnique<NotificationsHandlerImpl>(std::move(notifications));
+ return std::make_unique<NotificationsHandlerImpl>(std::move(notifications));
}
void waitForNotificationsIfTipChanged(const uint256& old_tip) override
{
@@ -620,7 +673,7 @@ public:
}
std::unique_ptr<Handler> handleRpc(const CRPCCommand& command) override
{
- return MakeUnique<RpcHandlerImpl>(command);
+ return std::make_unique<RpcHandlerImpl>(command);
}
bool rpcEnableDeprecated(const std::string& method) override { return IsDeprecatedRPCEnabled(method); }
void rpcRunLater(const std::string& name, std::function<void()> fn, int64_t seconds) override
@@ -628,6 +681,14 @@ public:
RPCRunLater(name, std::move(fn), seconds);
}
int rpcSerializationFlags() override { return RPCSerializationFlags(); }
+ util::SettingsValue getSetting(const std::string& name) override
+ {
+ return gArgs.GetSetting(name);
+ }
+ std::vector<util::SettingsValue> getSettingsList(const std::string& name) override
+ {
+ return gArgs.GetSettingsList(name);
+ }
util::SettingsValue getRwSetting(const std::string& name) override
{
util::SettingsValue result;
@@ -638,7 +699,7 @@ public:
});
return result;
}
- bool updateRwSetting(const std::string& name, const util::SettingsValue& value) override
+ bool updateRwSetting(const std::string& name, const util::SettingsValue& value, bool write) override
{
gArgs.LockSettings([&](util::Settings& settings) {
if (value.isNull()) {
@@ -647,7 +708,7 @@ public:
settings.rw_settings[name] = value;
}
});
- return gArgs.WriteSettingsFile();
+ return !write || gArgs.WriteSettingsFile();
}
void requestMempoolTransactions(Notifications& notifications) override
{
@@ -663,6 +724,6 @@ public:
} // namespace node
namespace interfaces {
-std::unique_ptr<Node> MakeNode(NodeContext* context) { return MakeUnique<node::NodeImpl>(context); }
-std::unique_ptr<Chain> MakeChain(NodeContext& context) { return MakeUnique<node::ChainImpl>(context); }
+std::unique_ptr<Node> MakeNode(node::NodeContext& context) { return std::make_unique<node::NodeImpl>(context); }
+std::unique_ptr<Chain> MakeChain(node::NodeContext& context) { return std::make_unique<node::ChainImpl>(context); }
} // namespace interfaces
diff --git a/src/miner.cpp b/src/node/miner.cpp
index 076d43c951..7fe10ecabc 100644
--- a/src/miner.cpp
+++ b/src/node/miner.cpp
@@ -1,18 +1,19 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <miner.h>
+#include <node/miner.h>
-#include <amount.h>
#include <chain.h>
#include <chainparams.h>
#include <coins.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
#include <consensus/merkle.h>
#include <consensus/tx_verify.h>
#include <consensus/validation.h>
+#include <deploymentstatus.h>
#include <policy/feerate.h>
#include <policy/policy.h>
#include <pow.h>
@@ -20,44 +21,51 @@
#include <timedata.h>
#include <util/moneystr.h>
#include <util/system.h>
+#include <validation.h>
#include <algorithm>
#include <utility>
+namespace node {
int64_t UpdateTime(CBlockHeader* pblock, const Consensus::Params& consensusParams, const CBlockIndex* pindexPrev)
{
int64_t nOldTime = pblock->nTime;
- int64_t nNewTime = std::max(pindexPrev->GetMedianTimePast()+1, GetAdjustedTime());
+ int64_t nNewTime = std::max(pindexPrev->GetMedianTimePast() + 1, GetAdjustedTime());
- if (nOldTime < nNewTime)
+ if (nOldTime < nNewTime) {
pblock->nTime = nNewTime;
+ }
// Updating time can change work required on testnet:
- if (consensusParams.fPowAllowMinDifficultyBlocks)
+ if (consensusParams.fPowAllowMinDifficultyBlocks) {
pblock->nBits = GetNextWorkRequired(pindexPrev, pblock, consensusParams);
+ }
return nNewTime - nOldTime;
}
-void RegenerateCommitments(CBlock& block)
+void RegenerateCommitments(CBlock& block, ChainstateManager& chainman)
{
CMutableTransaction tx{*block.vtx.at(0)};
tx.vout.erase(tx.vout.begin() + GetWitnessCommitmentIndex(block));
block.vtx.at(0) = MakeTransactionRef(tx);
- GenerateCoinbaseCommitment(block, WITH_LOCK(cs_main, return g_chainman.m_blockman.LookupBlockIndex(block.hashPrevBlock)), Params().GetConsensus());
+ CBlockIndex* prev_block = WITH_LOCK(::cs_main, return chainman.m_blockman.LookupBlockIndex(block.hashPrevBlock));
+ GenerateCoinbaseCommitment(block, prev_block, Params().GetConsensus());
block.hashMerkleRoot = BlockMerkleRoot(block);
}
-BlockAssembler::Options::Options() {
+BlockAssembler::Options::Options()
+{
blockMinFeeRate = CFeeRate(DEFAULT_BLOCK_MIN_TX_FEE);
nBlockMaxWeight = DEFAULT_BLOCK_MAX_WEIGHT;
}
-BlockAssembler::BlockAssembler(const CTxMemPool& mempool, const CChainParams& params, const Options& options)
+BlockAssembler::BlockAssembler(CChainState& chainstate, const CTxMemPool& mempool, const CChainParams& params, const Options& options)
: chainparams(params),
- m_mempool(mempool)
+ m_mempool(mempool),
+ m_chainstate(chainstate)
{
blockMinFeeRate = options.blockMinFeeRate;
// Limit weight to between 4K and MAX_BLOCK_WEIGHT-4K for sanity:
@@ -69,18 +77,18 @@ static BlockAssembler::Options DefaultOptions()
// Block resource limits
// If -blockmaxweight is not given, limit to DEFAULT_BLOCK_MAX_WEIGHT
BlockAssembler::Options options;
- options.nBlockMaxWeight = gArgs.GetArg("-blockmaxweight", DEFAULT_BLOCK_MAX_WEIGHT);
- CAmount n = 0;
- if (gArgs.IsArgSet("-blockmintxfee") && ParseMoney(gArgs.GetArg("-blockmintxfee", ""), n)) {
- options.blockMinFeeRate = CFeeRate(n);
+ options.nBlockMaxWeight = gArgs.GetIntArg("-blockmaxweight", DEFAULT_BLOCK_MAX_WEIGHT);
+ if (gArgs.IsArgSet("-blockmintxfee")) {
+ std::optional<CAmount> parsed = ParseMoney(gArgs.GetArg("-blockmintxfee", ""));
+ options.blockMinFeeRate = CFeeRate{parsed.value_or(DEFAULT_BLOCK_MIN_TX_FEE)};
} else {
- options.blockMinFeeRate = CFeeRate(DEFAULT_BLOCK_MIN_TX_FEE);
+ options.blockMinFeeRate = CFeeRate{DEFAULT_BLOCK_MIN_TX_FEE};
}
return options;
}
-BlockAssembler::BlockAssembler(const CTxMemPool& mempool, const CChainParams& params)
- : BlockAssembler(mempool, params, DefaultOptions()) {}
+BlockAssembler::BlockAssembler(CChainState& chainstate, const CTxMemPool& mempool, const CChainParams& params)
+ : BlockAssembler(chainstate, mempool, params, DefaultOptions()) {}
void BlockAssembler::resetBlock()
{
@@ -96,9 +104,6 @@ void BlockAssembler::resetBlock()
nFees = 0;
}
-Optional<int64_t> BlockAssembler::m_last_block_num_txs{nullopt};
-Optional<int64_t> BlockAssembler::m_last_block_weight{nullopt};
-
std::unique_ptr<CBlockTemplate> BlockAssembler::CreateNewBlock(const CScript& scriptPubKeyIn)
{
int64_t nTimeStart = GetTimeMicros();
@@ -107,8 +112,9 @@ std::unique_ptr<CBlockTemplate> BlockAssembler::CreateNewBlock(const CScript& sc
pblocktemplate.reset(new CBlockTemplate());
- if(!pblocktemplate.get())
+ if (!pblocktemplate.get()) {
return nullptr;
+ }
CBlock* const pblock = &pblocktemplate->block; // pointer for convenience
// Add dummy coinbase tx as first transaction
@@ -117,33 +123,30 @@ std::unique_ptr<CBlockTemplate> BlockAssembler::CreateNewBlock(const CScript& sc
pblocktemplate->vTxSigOpsCost.push_back(-1); // updated at end
LOCK2(cs_main, m_mempool.cs);
- CBlockIndex* pindexPrev = ::ChainActive().Tip();
+ CBlockIndex* pindexPrev = m_chainstate.m_chain.Tip();
assert(pindexPrev != nullptr);
nHeight = pindexPrev->nHeight + 1;
- pblock->nVersion = ComputeBlockVersion(pindexPrev, chainparams.GetConsensus());
+ pblock->nVersion = g_versionbitscache.ComputeBlockVersion(pindexPrev, chainparams.GetConsensus());
// -regtest only: allow overriding block.nVersion with
// -blockversion=N to test forking scenarios
- if (chainparams.MineBlocksOnDemand())
- pblock->nVersion = gArgs.GetArg("-blockversion", pblock->nVersion);
+ if (chainparams.MineBlocksOnDemand()) {
+ pblock->nVersion = gArgs.GetIntArg("-blockversion", pblock->nVersion);
+ }
pblock->nTime = GetAdjustedTime();
- const int64_t nMedianTimePast = pindexPrev->GetMedianTimePast();
-
- nLockTimeCutoff = (STANDARD_LOCKTIME_VERIFY_FLAGS & LOCKTIME_MEDIAN_TIME_PAST)
- ? nMedianTimePast
- : pblock->GetBlockTime();
+ m_lock_time_cutoff = pindexPrev->GetMedianTimePast();
// Decide whether to include witness transactions
// This is only needed in case the witness softfork activation is reverted
// (which would require a very deep reorganization).
// Note that the mempool would accept transactions with witness data before
- // IsWitnessEnabled, but we would only ever mine blocks after IsWitnessEnabled
+ // the deployment is active, but we would only ever mine blocks after activation
// unless there is a massive block reorganization with the witness softfork
// not activated.
// TODO: replace this with a call to main to assess validity of a mempool
// transaction (which in most cases can be a no-op).
- fIncludeWitness = IsWitnessEnabled(pindexPrev, chainparams.GetConsensus());
+ fIncludeWitness = DeploymentActiveAfter(pindexPrev, chainparams.GetConsensus(), Consensus::DEPLOYMENT_SEGWIT);
int nPackagesSelected = 0;
int nDescendantsUpdated = 0;
@@ -176,7 +179,7 @@ std::unique_ptr<CBlockTemplate> BlockAssembler::CreateNewBlock(const CScript& sc
pblocktemplate->vTxSigOpsCost[0] = WITNESS_SCALE_FACTOR * GetLegacySigOpCount(*pblock->vtx[0]);
BlockValidationState state;
- if (!TestBlockValidity(state, chainparams, ::ChainstateActive(), *pblock, pindexPrev, false, false)) {
+ if (!TestBlockValidity(state, chainparams, m_chainstate, *pblock, pindexPrev, false, false)) {
throw std::runtime_error(strprintf("%s: TestBlockValidity failed: %s", __func__, state.ToString()));
}
int64_t nTime2 = GetTimeMicros();
@@ -192,8 +195,7 @@ void BlockAssembler::onlyUnconfirmed(CTxMemPool::setEntries& testSet)
// Only test txs not already in the block
if (inBlock.count(*iit)) {
testSet.erase(iit++);
- }
- else {
+ } else {
iit++;
}
}
@@ -202,10 +204,12 @@ void BlockAssembler::onlyUnconfirmed(CTxMemPool::setEntries& testSet)
bool BlockAssembler::TestPackage(uint64_t packageSize, int64_t packageSigOpsCost) const
{
// TODO: switch to weight-based accounting for packages instead of vsize-based accounting.
- if (nBlockWeight + WITNESS_SCALE_FACTOR * packageSize >= nBlockMaxWeight)
+ if (nBlockWeight + WITNESS_SCALE_FACTOR * packageSize >= nBlockMaxWeight) {
return false;
- if (nBlockSigOpsCost + packageSigOpsCost >= MAX_BLOCK_SIGOPS_COST)
+ }
+ if (nBlockSigOpsCost + packageSigOpsCost >= MAX_BLOCK_SIGOPS_COST) {
return false;
+ }
return true;
}
@@ -216,10 +220,12 @@ bool BlockAssembler::TestPackage(uint64_t packageSize, int64_t packageSigOpsCost
bool BlockAssembler::TestPackageTransactions(const CTxMemPool::setEntries& package) const
{
for (CTxMemPool::txiter it : package) {
- if (!IsFinalTx(it->GetTx(), nHeight, nLockTimeCutoff))
+ if (!IsFinalTx(it->GetTx(), nHeight, m_lock_time_cutoff)) {
return false;
- if (!fIncludeWitness && it->GetTx().HasWitness())
+ }
+ if (!fIncludeWitness && it->GetTx().HasWitness()) {
return false;
+ }
}
return true;
}
@@ -237,7 +243,7 @@ void BlockAssembler::AddToBlock(CTxMemPool::txiter iter)
bool fPrintPriority = gArgs.GetBoolArg("-printpriority", DEFAULT_PRINTPRIORITY);
if (fPrintPriority) {
- LogPrintf("fee %s txid %s\n",
+ LogPrintf("fee rate %s txid %s\n",
CFeeRate(iter->GetModifiedFee(), iter->GetTxSize()).ToString(),
iter->GetTx().GetHash().ToString());
}
@@ -246,14 +252,17 @@ void BlockAssembler::AddToBlock(CTxMemPool::txiter iter)
int BlockAssembler::UpdatePackagesForAdded(const CTxMemPool::setEntries& alreadyAdded,
indexed_modified_transaction_set &mapModifiedTx)
{
+ AssertLockHeld(m_mempool.cs);
+
int nDescendantsUpdated = 0;
for (CTxMemPool::txiter it : alreadyAdded) {
CTxMemPool::setEntries descendants;
m_mempool.CalculateDescendants(it, descendants);
// Insert all descendants (not yet in block) into the modified set
for (CTxMemPool::txiter desc : descendants) {
- if (alreadyAdded.count(desc))
+ if (alreadyAdded.count(desc)) {
continue;
+ }
++nDescendantsUpdated;
modtxiter mit = mapModifiedTx.find(desc);
if (mit == mapModifiedTx.end()) {
@@ -279,8 +288,10 @@ int BlockAssembler::UpdatePackagesForAdded(const CTxMemPool::setEntries& already
// guaranteed to fail again, but as a belt-and-suspenders check we put it in
// failedTx and avoid re-evaluation, since the re-evaluation would be using
// cached size/sigops/fee values that are not actually correct.
-bool BlockAssembler::SkipMapTxEntry(CTxMemPool::txiter it, indexed_modified_transaction_set &mapModifiedTx, CTxMemPool::setEntries &failedTx)
+bool BlockAssembler::SkipMapTxEntry(CTxMemPool::txiter it, indexed_modified_transaction_set& mapModifiedTx, CTxMemPool::setEntries& failedTx)
{
+ AssertLockHeld(m_mempool.cs);
+
assert(it != m_mempool.mapTx.end());
return mapModifiedTx.count(it) || inBlock.count(it) || failedTx.count(it);
}
@@ -306,8 +317,10 @@ void BlockAssembler::SortForBlock(const CTxMemPool::setEntries& package, std::ve
// Each time through the loop, we compare the best transaction in
// mapModifiedTxs with the next transaction in the mempool to decide what
// transaction package to work on next.
-void BlockAssembler::addPackageTxs(int &nPackagesSelected, int &nDescendantsUpdated)
+void BlockAssembler::addPackageTxs(int& nPackagesSelected, int& nDescendantsUpdated)
{
+ AssertLockHeld(m_mempool.cs);
+
// mapModifiedTx will store sorted packages after they are modified
// because some of their txs are already in the block
indexed_modified_transaction_set mapModifiedTx;
@@ -422,7 +435,7 @@ void BlockAssembler::addPackageTxs(int &nPackagesSelected, int &nDescendantsUpda
std::vector<CTxMemPool::txiter> sortedEntries;
SortForBlock(ancestors, sortedEntries);
- for (size_t i=0; i<sortedEntries.size(); ++i) {
+ for (size_t i = 0; i < sortedEntries.size(); ++i) {
AddToBlock(sortedEntries[i]);
// Erase from the modified set, if present
mapModifiedTx.erase(sortedEntries[i]);
@@ -439,13 +452,12 @@ void IncrementExtraNonce(CBlock* pblock, const CBlockIndex* pindexPrev, unsigned
{
// Update nExtraNonce
static uint256 hashPrevBlock;
- if (hashPrevBlock != pblock->hashPrevBlock)
- {
+ if (hashPrevBlock != pblock->hashPrevBlock) {
nExtraNonce = 0;
hashPrevBlock = pblock->hashPrevBlock;
}
++nExtraNonce;
- unsigned int nHeight = pindexPrev->nHeight+1; // Height first in coinbase required for block.version=2
+ unsigned int nHeight = pindexPrev->nHeight + 1; // Height first in coinbase required for block.version=2
CMutableTransaction txCoinbase(*pblock->vtx[0]);
txCoinbase.vin[0].scriptSig = (CScript() << nHeight << CScriptNum(nExtraNonce));
assert(txCoinbase.vin[0].scriptSig.size() <= 100);
@@ -453,3 +465,4 @@ void IncrementExtraNonce(CBlock* pblock, const CBlockIndex* pindexPrev, unsigned
pblock->vtx[0] = MakeTransactionRef(std::move(txCoinbase));
pblock->hashMerkleRoot = BlockMerkleRoot(*pblock);
}
+} // namespace node
diff --git a/src/miner.h b/src/node/miner.h
index 9a2b7063f4..c96da874a7 100644
--- a/src/miner.h
+++ b/src/node/miner.h
@@ -1,28 +1,29 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#ifndef BITCOIN_MINER_H
-#define BITCOIN_MINER_H
+#ifndef BITCOIN_NODE_MINER_H
+#define BITCOIN_NODE_MINER_H
-#include <optional.h>
#include <primitives/block.h>
#include <txmempool.h>
-#include <validation.h>
#include <memory>
+#include <optional>
#include <stdint.h>
-#include <boost/multi_index_container.hpp>
#include <boost/multi_index/ordered_index.hpp>
+#include <boost/multi_index_container.hpp>
+class ChainstateManager;
class CBlockIndex;
class CChainParams;
class CScript;
namespace Consensus { struct Params; };
+namespace node {
static const bool DEFAULT_PRINTPRIORITY = false;
struct CBlockTemplate
@@ -80,10 +81,11 @@ struct modifiedentry_iter {
// This is sufficient to sort an ancestor package in an order that is valid
// to appear in a block.
struct CompareTxIterByAncestorCount {
- bool operator()(const CTxMemPool::txiter &a, const CTxMemPool::txiter &b) const
+ bool operator()(const CTxMemPool::txiter& a, const CTxMemPool::txiter& b) const
{
- if (a->GetCountWithAncestors() != b->GetCountWithAncestors())
+ if (a->GetCountWithAncestors() != b->GetCountWithAncestors()) {
return a->GetCountWithAncestors() < b->GetCountWithAncestors();
+ }
return CompareIteratorByHash()(a, b);
}
};
@@ -143,9 +145,11 @@ private:
// Chain context for the block
int nHeight;
- int64_t nLockTimeCutoff;
+ int64_t m_lock_time_cutoff;
+
const CChainParams& chainparams;
const CTxMemPool& m_mempool;
+ CChainState& m_chainstate;
public:
struct Options {
@@ -154,14 +158,14 @@ public:
CFeeRate blockMinFeeRate;
};
- explicit BlockAssembler(const CTxMemPool& mempool, const CChainParams& params);
- explicit BlockAssembler(const CTxMemPool& mempool, const CChainParams& params, const Options& options);
+ explicit BlockAssembler(CChainState& chainstate, const CTxMemPool& mempool, const CChainParams& params);
+ explicit BlockAssembler(CChainState& chainstate, const CTxMemPool& mempool, const CChainParams& params, const Options& options);
/** Construct a new block template with coinbase to scriptPubKeyIn */
std::unique_ptr<CBlockTemplate> CreateNewBlock(const CScript& scriptPubKeyIn);
- static Optional<int64_t> m_last_block_num_txs;
- static Optional<int64_t> m_last_block_weight;
+ inline static std::optional<int64_t> m_last_block_num_txs{};
+ inline static std::optional<int64_t> m_last_block_weight{};
private:
// utility functions
@@ -202,6 +206,7 @@ void IncrementExtraNonce(CBlock* pblock, const CBlockIndex* pindexPrev, unsigned
int64_t UpdateTime(CBlockHeader* pblock, const Consensus::Params& consensusParams, const CBlockIndex* pindexPrev);
/** Update an old GenerateCoinbaseCommitment from CreateNewBlock after the block txs have changed */
-void RegenerateCommitments(CBlock& block);
+void RegenerateCommitments(CBlock& block, ChainstateManager& chainman);
+} // namespace node
-#endif // BITCOIN_MINER_H
+#endif // BITCOIN_NODE_MINER_H
diff --git a/src/node/minisketchwrapper.cpp b/src/node/minisketchwrapper.cpp
new file mode 100644
index 0000000000..67e823cb68
--- /dev/null
+++ b/src/node/minisketchwrapper.cpp
@@ -0,0 +1,79 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <node/minisketchwrapper.h>
+
+#include <logging.h>
+#include <util/time.h>
+
+#include <minisketch.h>
+
+#include <algorithm>
+#include <cstddef>
+#include <cstdint>
+#include <optional>
+#include <utility>
+#include <vector>
+
+namespace node {
+namespace {
+
+static constexpr uint32_t BITS = 32;
+
+uint32_t FindBestImplementation()
+{
+ std::optional<std::pair<int64_t, uint32_t>> best;
+
+ uint32_t max_impl = Minisketch::MaxImplementation();
+ for (uint32_t impl = 0; impl <= max_impl; ++impl) {
+ std::vector<int64_t> benches;
+ uint64_t offset = 0;
+ /* Run a little benchmark with capacity 32, adding 184 entries, and decoding 11 of them once. */
+ for (int b = 0; b < 11; ++b) {
+ if (!Minisketch::ImplementationSupported(BITS, impl)) break;
+ Minisketch sketch(BITS, impl, 32);
+ auto start = GetTimeMicros();
+ for (uint64_t e = 0; e < 100; ++e) {
+ sketch.Add(e*1337 + b*13337 + offset);
+ }
+ for (uint64_t e = 0; e < 84; ++e) {
+ sketch.Add(e*1337 + b*13337 + offset);
+ }
+ offset += (*sketch.Decode(32))[0];
+ auto stop = GetTimeMicros();
+ benches.push_back(stop - start);
+ }
+ /* Remember which implementation has the best median benchmark time. */
+ if (!benches.empty()) {
+ std::sort(benches.begin(), benches.end());
+ if (!best || best->first > benches[5]) {
+ best = std::make_pair(benches[5], impl);
+ }
+ }
+ }
+ assert(best.has_value());
+ LogPrintf("Using Minisketch implementation number %i\n", best->second);
+ return best->second;
+}
+
+uint32_t Minisketch32Implementation()
+{
+ // Fast compute-once idiom.
+ static uint32_t best = FindBestImplementation();
+ return best;
+}
+
+} // namespace
+
+
+Minisketch MakeMinisketch32(size_t capacity)
+{
+ return Minisketch(BITS, Minisketch32Implementation(), capacity);
+}
+
+Minisketch MakeMinisketch32FP(size_t max_elements, uint32_t fpbits)
+{
+ return Minisketch::CreateFP(BITS, Minisketch32Implementation(), max_elements, fpbits);
+}
+} // namespace node
diff --git a/src/node/minisketchwrapper.h b/src/node/minisketchwrapper.h
new file mode 100644
index 0000000000..a92912d9ed
--- /dev/null
+++ b/src/node/minisketchwrapper.h
@@ -0,0 +1,20 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_NODE_MINISKETCHWRAPPER_H
+#define BITCOIN_NODE_MINISKETCHWRAPPER_H
+
+#include <minisketch.h>
+
+#include <cstddef>
+#include <cstdint>
+
+namespace node {
+/** Wrapper around Minisketch::Minisketch(32, implementation, capacity). */
+Minisketch MakeMinisketch32(size_t capacity);
+/** Wrapper around Minisketch::CreateFP. */
+Minisketch MakeMinisketch32FP(size_t max_elements, uint32_t fpbits);
+} // namespace node
+
+#endif // BITCOIN_NODE_MINISKETCHWRAPPER_H
diff --git a/src/node/psbt.cpp b/src/node/psbt.cpp
index c189018268..5a932f435d 100644
--- a/src/node/psbt.cpp
+++ b/src/node/psbt.cpp
@@ -1,9 +1,9 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
#include <coins.h>
+#include <consensus/amount.h>
#include <consensus/tx_verify.h>
#include <node/psbt.h>
#include <policy/policy.h>
@@ -12,6 +12,7 @@
#include <numeric>
+namespace node {
PSBTAnalysis AnalyzePSBT(PartiallySignedTransaction psbtx)
{
// Go through each input and build status
@@ -23,6 +24,8 @@ PSBTAnalysis AnalyzePSBT(PartiallySignedTransaction psbtx)
result.inputs.resize(psbtx.tx->vin.size());
+ const PrecomputedTransactionData txdata = PrecomputePSBTData(psbtx);
+
for (unsigned int i = 0; i < psbtx.tx->vin.size(); ++i) {
PSBTInput& input = psbtx.inputs[i];
PSBTInputAnalysis& input_analysis = result.inputs[i];
@@ -61,7 +64,7 @@ PSBTAnalysis AnalyzePSBT(PartiallySignedTransaction psbtx)
// Figure out what is missing
SignatureData outdata;
- bool complete = SignPSBTInput(DUMMY_SIGNING_PROVIDER, psbtx, i, 1, &outdata);
+ bool complete = SignPSBTInput(DUMMY_SIGNING_PROVIDER, psbtx, i, &txdata, 1, &outdata);
// Things are missing
if (!complete) {
@@ -103,7 +106,7 @@ PSBTAnalysis AnalyzePSBT(PartiallySignedTransaction psbtx)
}
);
if (!MoneyRange(out_amt)) {
- result.SetInvalid(strprintf("PSBT is not valid. Output amount invalid"));
+ result.SetInvalid("PSBT is not valid. Output amount invalid");
return result;
}
@@ -121,7 +124,7 @@ PSBTAnalysis AnalyzePSBT(PartiallySignedTransaction psbtx)
PSBTInput& input = psbtx.inputs[i];
Coin newcoin;
- if (!SignPSBTInput(DUMMY_SIGNING_PROVIDER, psbtx, i, 1, nullptr, true) || !psbtx.GetInputUTXO(newcoin.out, i)) {
+ if (!SignPSBTInput(DUMMY_SIGNING_PROVIDER, psbtx, i, nullptr, 1) || !psbtx.GetInputUTXO(newcoin.out, i)) {
success = false;
break;
} else {
@@ -145,3 +148,4 @@ PSBTAnalysis AnalyzePSBT(PartiallySignedTransaction psbtx)
return result;
}
+} // namespace node
diff --git a/src/node/psbt.h b/src/node/psbt.h
index 7384dc415c..cbb3bd8201 100644
--- a/src/node/psbt.h
+++ b/src/node/psbt.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,6 +7,9 @@
#include <psbt.h>
+#include <optional>
+
+namespace node {
/**
* Holds an analysis of one input from a PSBT
*/
@@ -25,18 +28,18 @@ struct PSBTInputAnalysis {
* Holds the results of AnalyzePSBT (miscellaneous information about a PSBT)
*/
struct PSBTAnalysis {
- Optional<size_t> estimated_vsize; //!< Estimated weight of the transaction
- Optional<CFeeRate> estimated_feerate; //!< Estimated feerate (fee / weight) of the transaction
- Optional<CAmount> fee; //!< Amount of fee being paid by the transaction
- std::vector<PSBTInputAnalysis> inputs; //!< More information about the individual inputs of the transaction
- PSBTRole next; //!< Which of the BIP 174 roles needs to handle the transaction next
- std::string error; //!< Error message
+ std::optional<size_t> estimated_vsize; //!< Estimated weight of the transaction
+ std::optional<CFeeRate> estimated_feerate; //!< Estimated feerate (fee / weight) of the transaction
+ std::optional<CAmount> fee; //!< Amount of fee being paid by the transaction
+ std::vector<PSBTInputAnalysis> inputs; //!< More information about the individual inputs of the transaction
+ PSBTRole next; //!< Which of the BIP 174 roles needs to handle the transaction next
+ std::string error; //!< Error message
void SetInvalid(std::string err_msg)
{
- estimated_vsize = nullopt;
- estimated_feerate = nullopt;
- fee = nullopt;
+ estimated_vsize = std::nullopt;
+ estimated_feerate = std::nullopt;
+ fee = std::nullopt;
inputs.clear();
next = PSBTRole::CREATOR;
error = err_msg;
@@ -50,5 +53,6 @@ struct PSBTAnalysis {
* @return A PSBTAnalysis with information about the provided PSBT.
*/
PSBTAnalysis AnalyzePSBT(PartiallySignedTransaction psbtx);
+} // namespace node
#endif // BITCOIN_NODE_PSBT_H
diff --git a/src/node/transaction.cpp b/src/node/transaction.cpp
index 3b3fab7b6b..c7c8493f0c 100644
--- a/src/node/transaction.cpp
+++ b/src/node/transaction.cpp
@@ -1,18 +1,22 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <consensus/validation.h>
+#include <index/txindex.h>
#include <net.h>
#include <net_processing.h>
+#include <node/blockstorage.h>
#include <node/context.h>
+#include <txmempool.h>
#include <validation.h>
#include <validationinterface.h>
#include <node/transaction.h>
#include <future>
+namespace node {
static TransactionError HandleATMPError(const TxValidationState& state, std::string& err_string_out)
{
err_string_out = state.ToString();
@@ -28,64 +32,81 @@ static TransactionError HandleATMPError(const TxValidationState& state, std::str
TransactionError BroadcastTransaction(NodeContext& node, const CTransactionRef tx, std::string& err_string, const CAmount& max_tx_fee, bool relay, bool wait_callback)
{
- // BroadcastTransaction can be called by either sendrawtransaction RPC or wallet RPCs.
- // node.connman is assigned both before chain clients and before RPC server is accepting calls,
- // and reset after chain clients and RPC sever are stopped. node.connman should never be null here.
- assert(node.connman);
+ // BroadcastTransaction can be called by either sendrawtransaction RPC or the wallet.
+ // chainman, mempool and peerman are initialized before the RPC server and wallet are started
+ // and reset after the RPC sever and wallet are stopped.
+ assert(node.chainman);
assert(node.mempool);
+ assert(node.peerman);
+
std::promise<void> promise;
- uint256 hashTx = tx->GetHash();
+ uint256 txid = tx->GetHash();
+ uint256 wtxid = tx->GetWitnessHash();
bool callback_set = false;
- { // cs_main scope
- LOCK(cs_main);
- // If the transaction is already confirmed in the chain, don't do anything
- // and return early.
- CCoinsViewCache &view = ::ChainstateActive().CoinsTip();
- for (size_t o = 0; o < tx->vout.size(); o++) {
- const Coin& existingCoin = view.AccessCoin(COutPoint(hashTx, o));
- // IsSpent doesn't mean the coin is spent, it means the output doesn't exist.
- // So if the output does exist, then this transaction exists in the chain.
- if (!existingCoin.IsSpent()) return TransactionError::ALREADY_IN_CHAIN;
- }
- if (!node.mempool->exists(hashTx)) {
- // Transaction is not already in the mempool.
- if (max_tx_fee > 0) {
- // First, call ATMP with test_accept and check the fee. If ATMP
- // fails here, return error immediately.
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), *node.mempool, tx, false /* bypass_limits */,
- true /* test_accept */);
+ {
+ LOCK(cs_main);
+
+ // If the transaction is already confirmed in the chain, don't do anything
+ // and return early.
+ CCoinsViewCache &view = node.chainman->ActiveChainstate().CoinsTip();
+ for (size_t o = 0; o < tx->vout.size(); o++) {
+ const Coin& existingCoin = view.AccessCoin(COutPoint(txid, o));
+ // IsSpent doesn't mean the coin is spent, it means the output doesn't exist.
+ // So if the output does exist, then this transaction exists in the chain.
+ if (!existingCoin.IsSpent()) return TransactionError::ALREADY_IN_CHAIN;
+ }
+
+ if (auto mempool_tx = node.mempool->get(txid); mempool_tx) {
+ // There's already a transaction in the mempool with this txid. Don't
+ // try to submit this transaction to the mempool (since it'll be
+ // rejected as a TX_CONFLICT), but do attempt to reannounce the mempool
+ // transaction if relay=true.
+ //
+ // The mempool transaction may have the same or different witness (and
+ // wtxid) as this transaction. Use the mempool's wtxid for reannouncement.
+ wtxid = mempool_tx->GetWitnessHash();
+ } else {
+ // Transaction is not already in the mempool.
+ if (max_tx_fee > 0) {
+ // First, call ATMP with test_accept and check the fee. If ATMP
+ // fails here, return error immediately.
+ const MempoolAcceptResult result = node.chainman->ProcessTransaction(tx, /*test_accept=*/ true);
+ if (result.m_result_type != MempoolAcceptResult::ResultType::VALID) {
+ return HandleATMPError(result.m_state, err_string);
+ } else if (result.m_base_fees.value() > max_tx_fee) {
+ return TransactionError::MAX_FEE_EXCEEDED;
+ }
+ }
+ // Try to submit the transaction to the mempool.
+ const MempoolAcceptResult result = node.chainman->ProcessTransaction(tx, /*test_accept=*/ false);
if (result.m_result_type != MempoolAcceptResult::ResultType::VALID) {
return HandleATMPError(result.m_state, err_string);
- } else if (result.m_base_fees.value() > max_tx_fee) {
- return TransactionError::MAX_FEE_EXCEEDED;
}
- }
- // Try to submit the transaction to the mempool.
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), *node.mempool, tx, false /* bypass_limits */,
- false /* test_accept */);
- if (result.m_result_type != MempoolAcceptResult::ResultType::VALID) {
- return HandleATMPError(result.m_state, err_string);
- }
- // Transaction was accepted to the mempool.
+ // Transaction was accepted to the mempool.
- if (wait_callback) {
- // For transactions broadcast from outside the wallet, make sure
- // that the wallet has been notified of the transaction before
- // continuing.
- //
- // This prevents a race where a user might call sendrawtransaction
- // with a transaction to/from their wallet, immediately call some
- // wallet RPC, and get a stale result because callbacks have not
- // yet been processed.
- CallFunctionInValidationInterfaceQueue([&promise] {
- promise.set_value();
- });
- callback_set = true;
- }
- }
+ if (relay) {
+ // the mempool tracks locally submitted transactions to make a
+ // best-effort of initial broadcast
+ node.mempool->AddUnbroadcastTx(txid);
+ }
+ if (wait_callback) {
+ // For transactions broadcast from outside the wallet, make sure
+ // that the wallet has been notified of the transaction before
+ // continuing.
+ //
+ // This prevents a race where a user might call sendrawtransaction
+ // with a transaction to/from their wallet, immediately call some
+ // wallet RPC, and get a stale result because callbacks have not
+ // yet been processed.
+ CallFunctionInValidationInterfaceQueue([&promise] {
+ promise.set_value();
+ });
+ callback_set = true;
+ }
+ }
} // cs_main
if (callback_set) {
@@ -95,13 +116,42 @@ TransactionError BroadcastTransaction(NodeContext& node, const CTransactionRef t
}
if (relay) {
- // the mempool tracks locally submitted transactions to make a
- // best-effort of initial broadcast
- node.mempool->AddUnbroadcastTx(hashTx);
-
- LOCK(cs_main);
- RelayTransaction(hashTx, tx->GetWitnessHash(), *node.connman);
+ node.peerman->RelayTransaction(txid, wtxid);
}
return TransactionError::OK;
}
+
+CTransactionRef GetTransaction(const CBlockIndex* const block_index, const CTxMemPool* const mempool, const uint256& hash, const Consensus::Params& consensusParams, uint256& hashBlock)
+{
+ if (mempool && !block_index) {
+ CTransactionRef ptx = mempool->get(hash);
+ if (ptx) return ptx;
+ }
+ if (g_txindex) {
+ CTransactionRef tx;
+ uint256 block_hash;
+ if (g_txindex->FindTx(hash, block_hash, tx)) {
+ if (!block_index || block_index->GetBlockHash() == block_hash) {
+ // Don't return the transaction if the provided block hash doesn't match.
+ // The case where a transaction appears in multiple blocks (e.g. reorgs or
+ // BIP30) is handled by the block lookup below.
+ hashBlock = block_hash;
+ return tx;
+ }
+ }
+ }
+ if (block_index) {
+ CBlock block;
+ if (ReadBlockFromDisk(block, block_index, consensusParams)) {
+ for (const auto& tx : block.vtx) {
+ if (tx->GetHash() == hash) {
+ hashBlock = block_index->GetBlockHash();
+ return tx;
+ }
+ }
+ }
+ }
+ return nullptr;
+}
+} // namespace node
diff --git a/src/node/transaction.h b/src/node/transaction.h
index 0c016ff04e..b7cf225636 100644
--- a/src/node/transaction.h
+++ b/src/node/transaction.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,13 @@
#include <primitives/transaction.h>
#include <util/error.h>
+class CBlockIndex;
+class CTxMemPool;
+namespace Consensus {
+struct Params;
+}
+
+namespace node {
struct NodeContext;
/** Maximum fee rate for sendrawtransaction and testmempoolaccept RPC calls.
@@ -38,4 +45,20 @@ static const CFeeRate DEFAULT_MAX_RAW_TX_FEE_RATE{COIN / 10};
*/
[[nodiscard]] TransactionError BroadcastTransaction(NodeContext& node, CTransactionRef tx, std::string& err_string, const CAmount& max_tx_fee, bool relay, bool wait_callback);
+/**
+ * Return transaction with a given hash.
+ * If mempool is provided and block_index is not provided, check it first for the tx.
+ * If -txindex is available, check it next for the tx.
+ * Finally, if block_index is provided, check for tx by reading entire block from disk.
+ *
+ * @param[in] block_index The block to read from disk, or nullptr
+ * @param[in] mempool If provided, check mempool for tx
+ * @param[in] hash The txid
+ * @param[in] consensusParams The params
+ * @param[out] hashBlock The block hash, if the tx was found via -txindex or block_index
+ * @returns The tx if found, otherwise nullptr
+ */
+CTransactionRef GetTransaction(const CBlockIndex* const block_index, const CTxMemPool* const mempool, const uint256& hash, const Consensus::Params& consensusParams, uint256& hashBlock);
+} // namespace node
+
#endif // BITCOIN_NODE_TRANSACTION_H
diff --git a/src/node/ui_interface.cpp b/src/node/ui_interface.cpp
index 8d3665975d..a3a6ede39a 100644
--- a/src/node/ui_interface.cpp
+++ b/src/node/ui_interface.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2010-2020 The Bitcoin Core developers
+// Copyright (c) 2010-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -15,6 +15,7 @@ struct UISignals {
boost::signals2::signal<CClientUIInterface::ThreadSafeMessageBoxSig, boost::signals2::optional_last_value<bool>> ThreadSafeMessageBox;
boost::signals2::signal<CClientUIInterface::ThreadSafeQuestionSig, boost::signals2::optional_last_value<bool>> ThreadSafeQuestion;
boost::signals2::signal<CClientUIInterface::InitMessageSig> InitMessage;
+ boost::signals2::signal<CClientUIInterface::InitWalletSig> InitWallet;
boost::signals2::signal<CClientUIInterface::NotifyNumConnectionsChangedSig> NotifyNumConnectionsChanged;
boost::signals2::signal<CClientUIInterface::NotifyNetworkActiveChangedSig> NotifyNetworkActiveChanged;
boost::signals2::signal<CClientUIInterface::NotifyAlertChangedSig> NotifyAlertChanged;
@@ -34,6 +35,7 @@ static UISignals g_ui_signals;
ADD_SIGNALS_IMPL_WRAPPER(ThreadSafeMessageBox);
ADD_SIGNALS_IMPL_WRAPPER(ThreadSafeQuestion);
ADD_SIGNALS_IMPL_WRAPPER(InitMessage);
+ADD_SIGNALS_IMPL_WRAPPER(InitWallet);
ADD_SIGNALS_IMPL_WRAPPER(NotifyNumConnectionsChanged);
ADD_SIGNALS_IMPL_WRAPPER(NotifyNetworkActiveChanged);
ADD_SIGNALS_IMPL_WRAPPER(NotifyAlertChanged);
@@ -45,6 +47,7 @@ ADD_SIGNALS_IMPL_WRAPPER(BannedListChanged);
bool CClientUIInterface::ThreadSafeMessageBox(const bilingual_str& message, const std::string& caption, unsigned int style) { return g_ui_signals.ThreadSafeMessageBox(message, caption, style).value_or(false);}
bool CClientUIInterface::ThreadSafeQuestion(const bilingual_str& message, const std::string& non_interactive_message, const std::string& caption, unsigned int style) { return g_ui_signals.ThreadSafeQuestion(message, non_interactive_message, caption, style).value_or(false);}
void CClientUIInterface::InitMessage(const std::string& message) { return g_ui_signals.InitMessage(message); }
+void CClientUIInterface::InitWallet() { return g_ui_signals.InitWallet(); }
void CClientUIInterface::NotifyNumConnectionsChanged(int newNumConnections) { return g_ui_signals.NotifyNumConnectionsChanged(newNumConnections); }
void CClientUIInterface::NotifyNetworkActiveChanged(bool networkActive) { return g_ui_signals.NotifyNetworkActiveChanged(networkActive); }
void CClientUIInterface::NotifyAlertChanged() { return g_ui_signals.NotifyAlertChanged(); }
diff --git a/src/node/ui_interface.h b/src/node/ui_interface.h
index d574ab879f..d02238b549 100644
--- a/src/node/ui_interface.h
+++ b/src/node/ui_interface.h
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -25,8 +25,7 @@ class CClientUIInterface
{
public:
/** Flags for CClientUIInterface::ThreadSafeMessageBox */
- enum MessageBoxFlags
- {
+ enum MessageBoxFlags : uint32_t {
ICON_INFORMATION = 0,
ICON_WARNING = (1U << 0),
ICON_ERROR = (1U << 1),
@@ -82,6 +81,9 @@ public:
/** Progress message during initialization. */
ADD_SIGNALS_DECL_WRAPPER(InitMessage, void, const std::string& message);
+ /** Wallet loader created. */
+ ADD_SIGNALS_DECL_WRAPPER(InitWallet, void, );
+
/** Number of network connections changed. */
ADD_SIGNALS_DECL_WRAPPER(NotifyNumConnectionsChanged, void, int newNumConnections);
diff --git a/src/node/utxo_snapshot.h b/src/node/utxo_snapshot.h
index fe78cb46bd..401d4baaeb 100644
--- a/src/node/utxo_snapshot.h
+++ b/src/node/utxo_snapshot.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,6 +9,7 @@
#include <uint256.h>
#include <serialize.h>
+namespace node {
//! Metadata describing a serialized version of a UTXO set from which an
//! assumeutxo CChainState can be constructed.
class SnapshotMetadata
@@ -22,20 +23,16 @@ public:
//! during snapshot load to estimate progress of UTXO set reconstruction.
uint64_t m_coins_count = 0;
- //! Necessary to "fake" the base nChainTx so that we can estimate progress during
- //! initial block download for the assumeutxo chainstate.
- unsigned int m_nchaintx = 0;
-
SnapshotMetadata() { }
SnapshotMetadata(
const uint256& base_blockhash,
uint64_t coins_count,
unsigned int nchaintx) :
m_base_blockhash(base_blockhash),
- m_coins_count(coins_count),
- m_nchaintx(nchaintx) { }
+ m_coins_count(coins_count) { }
- SERIALIZE_METHODS(SnapshotMetadata, obj) { READWRITE(obj.m_base_blockhash, obj.m_coins_count, obj.m_nchaintx); }
+ SERIALIZE_METHODS(SnapshotMetadata, obj) { READWRITE(obj.m_base_blockhash, obj.m_coins_count); }
};
+} // namespace node
#endif // BITCOIN_NODE_UTXO_SNAPSHOT_H
diff --git a/src/optional.h b/src/optional.h
deleted file mode 100644
index 583c56eabd..0000000000
--- a/src/optional.h
+++ /dev/null
@@ -1,20 +0,0 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#ifndef BITCOIN_OPTIONAL_H
-#define BITCOIN_OPTIONAL_H
-
-#include <optional>
-#include <utility>
-
-//! Substitute for C++17 std::optional
-//! DEPRECATED use std::optional in new code.
-template <typename T>
-using Optional = std::optional<T>;
-
-//! Substitute for C++17 std::nullopt
-//! DEPRECATED use std::nullopt in new code.
-static auto& nullopt = std::nullopt;
-
-#endif // BITCOIN_OPTIONAL_H
diff --git a/src/outputtype.cpp b/src/outputtype.cpp
index d96fb282c5..19366295e6 100644
--- a/src/outputtype.cpp
+++ b/src/outputtype.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,25 +13,26 @@
#include <util/vector.h>
#include <assert.h>
+#include <optional>
#include <string>
static const std::string OUTPUT_TYPE_STRING_LEGACY = "legacy";
static const std::string OUTPUT_TYPE_STRING_P2SH_SEGWIT = "p2sh-segwit";
static const std::string OUTPUT_TYPE_STRING_BECH32 = "bech32";
+static const std::string OUTPUT_TYPE_STRING_BECH32M = "bech32m";
-bool ParseOutputType(const std::string& type, OutputType& output_type)
+std::optional<OutputType> ParseOutputType(const std::string& type)
{
if (type == OUTPUT_TYPE_STRING_LEGACY) {
- output_type = OutputType::LEGACY;
- return true;
+ return OutputType::LEGACY;
} else if (type == OUTPUT_TYPE_STRING_P2SH_SEGWIT) {
- output_type = OutputType::P2SH_SEGWIT;
- return true;
+ return OutputType::P2SH_SEGWIT;
} else if (type == OUTPUT_TYPE_STRING_BECH32) {
- output_type = OutputType::BECH32;
- return true;
+ return OutputType::BECH32;
+ } else if (type == OUTPUT_TYPE_STRING_BECH32M) {
+ return OutputType::BECH32M;
}
- return false;
+ return std::nullopt;
}
const std::string& FormatOutputType(OutputType type)
@@ -40,6 +41,7 @@ const std::string& FormatOutputType(OutputType type)
case OutputType::LEGACY: return OUTPUT_TYPE_STRING_LEGACY;
case OutputType::P2SH_SEGWIT: return OUTPUT_TYPE_STRING_P2SH_SEGWIT;
case OutputType::BECH32: return OUTPUT_TYPE_STRING_BECH32;
+ case OutputType::BECH32M: return OUTPUT_TYPE_STRING_BECH32M;
} // no default case, so the compiler can warn about missing cases
assert(false);
}
@@ -59,6 +61,7 @@ CTxDestination GetDestinationForKey(const CPubKey& key, OutputType type)
return witdest;
}
}
+ case OutputType::BECH32M: {} // This function should never be used with BECH32M, so let it assert
} // no default case, so the compiler can warn about missing cases
assert(false);
}
@@ -98,6 +101,23 @@ CTxDestination AddAndGetDestinationForScript(FillableSigningProvider& keystore,
return ScriptHash(witprog);
}
}
+ case OutputType::BECH32M: {} // This function should not be used for BECH32M, so let it assert
} // no default case, so the compiler can warn about missing cases
assert(false);
}
+
+std::optional<OutputType> OutputTypeFromDestination(const CTxDestination& dest) {
+ if (std::holds_alternative<PKHash>(dest) ||
+ std::holds_alternative<ScriptHash>(dest)) {
+ return OutputType::LEGACY;
+ }
+ if (std::holds_alternative<WitnessV0KeyHash>(dest) ||
+ std::holds_alternative<WitnessV0ScriptHash>(dest)) {
+ return OutputType::BECH32;
+ }
+ if (std::holds_alternative<WitnessV1Taproot>(dest) ||
+ std::holds_alternative<WitnessUnknown>(dest)) {
+ return OutputType::BECH32M;
+ }
+ return std::nullopt;
+}
diff --git a/src/outputtype.h b/src/outputtype.h
index 88422e5824..66fe489bb0 100644
--- a/src/outputtype.h
+++ b/src/outputtype.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,6 +11,7 @@
#include <script/standard.h>
#include <array>
+#include <optional>
#include <string>
#include <vector>
@@ -18,15 +19,17 @@ enum class OutputType {
LEGACY,
P2SH_SEGWIT,
BECH32,
+ BECH32M,
};
static constexpr auto OUTPUT_TYPES = std::array{
OutputType::LEGACY,
OutputType::P2SH_SEGWIT,
OutputType::BECH32,
+ OutputType::BECH32M,
};
-[[nodiscard]] bool ParseOutputType(const std::string& str, OutputType& output_type);
+std::optional<OutputType> ParseOutputType(const std::string& str);
const std::string& FormatOutputType(OutputType type);
/**
@@ -45,4 +48,7 @@ std::vector<CTxDestination> GetAllDestinationsForKey(const CPubKey& key);
*/
CTxDestination AddAndGetDestinationForScript(FillableSigningProvider& keystore, const CScript& script, OutputType);
+/** Get the OutputType for a CTxDestination */
+std::optional<OutputType> OutputTypeFromDestination(const CTxDestination& dest);
+
#endif // BITCOIN_OUTPUTTYPE_H
diff --git a/src/policy/feerate.cpp b/src/policy/feerate.cpp
index 3da85fedf9..0ea56d8db7 100644
--- a/src/policy/feerate.cpp
+++ b/src/policy/feerate.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,29 +7,30 @@
#include <tinyformat.h>
-CFeeRate::CFeeRate(const CAmount& nFeePaid, size_t nBytes_)
+#include <cmath>
+
+CFeeRate::CFeeRate(const CAmount& nFeePaid, uint32_t num_bytes)
{
- assert(nBytes_ <= uint64_t(std::numeric_limits<int64_t>::max()));
- int64_t nSize = int64_t(nBytes_);
+ const int64_t nSize{num_bytes};
- if (nSize > 0)
+ if (nSize > 0) {
nSatoshisPerK = nFeePaid * 1000 / nSize;
- else
+ } else {
nSatoshisPerK = 0;
+ }
}
-CAmount CFeeRate::GetFee(size_t nBytes_) const
+CAmount CFeeRate::GetFee(uint32_t num_bytes) const
{
- assert(nBytes_ <= uint64_t(std::numeric_limits<int64_t>::max()));
- int64_t nSize = int64_t(nBytes_);
+ const int64_t nSize{num_bytes};
- CAmount nFee = nSatoshisPerK * nSize / 1000;
+ // Be explicit that we're converting from a double to int64_t (CAmount) here.
+ // We've previously had issues with the silent double->int64_t conversion.
+ CAmount nFee{static_cast<CAmount>(std::ceil(nSatoshisPerK * nSize / 1000.0))};
if (nFee == 0 && nSize != 0) {
- if (nSatoshisPerK > 0)
- nFee = CAmount(1);
- if (nSatoshisPerK < 0)
- nFee = CAmount(-1);
+ if (nSatoshisPerK > 0) nFee = CAmount(1);
+ if (nSatoshisPerK < 0) nFee = CAmount(-1);
}
return nFee;
diff --git a/src/policy/feerate.h b/src/policy/feerate.h
index 86ae507957..188a44b73d 100644
--- a/src/policy/feerate.h
+++ b/src/policy/feerate.h
@@ -1,12 +1,12 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_POLICY_FEERATE_H
#define BITCOIN_POLICY_FEERATE_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <serialize.h>
#include <string>
@@ -39,21 +39,18 @@ public:
// We've previously had bugs creep in from silent double->int conversion...
static_assert(std::is_integral<I>::value, "CFeeRate should be used without floats");
}
- /** Constructor for a fee rate in satoshis per kvB (sat/kvB). The size in bytes must not exceed (2^63 - 1).
+ /** Constructor for a fee rate in satoshis per kvB (sat/kvB).
*
- * Passing an nBytes value of COIN (1e8) returns a fee rate in satoshis per vB (sat/vB),
+ * Passing a num_bytes value of COIN (1e8) returns a fee rate in satoshis per vB (sat/vB),
* e.g. (nFeePaid * 1e8 / 1e3) == (nFeePaid / 1e5),
* where 1e5 is the ratio to convert from BTC/kvB to sat/vB.
- *
- * @param[in] nFeePaid CAmount fee rate to construct with
- * @param[in] nBytes size_t bytes (units) to construct with
- * @returns fee rate
*/
- CFeeRate(const CAmount& nFeePaid, size_t nBytes);
+ CFeeRate(const CAmount& nFeePaid, uint32_t num_bytes);
/**
* Return the fee in satoshis for the given size in bytes.
+ * If the calculated fee would have fractional satoshis, then the returned fee will always be rounded up to the nearest satoshi.
*/
- CAmount GetFee(size_t nBytes) const;
+ CAmount GetFee(uint32_t num_bytes) const;
/**
* Return the fee in satoshis for a size of 1000 bytes
*/
@@ -70,4 +67,4 @@ public:
SERIALIZE_METHODS(CFeeRate, obj) { READWRITE(obj.nSatoshisPerK); }
};
-#endif // BITCOIN_POLICY_FEERATE_H
+#endif // BITCOIN_POLICY_FEERATE_H
diff --git a/src/policy/fees.cpp b/src/policy/fees.cpp
index 7da171d2e1..6499dbd97f 100644
--- a/src/policy/fees.cpp
+++ b/src/policy/fees.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,7 @@
#include <logging.h>
#include <streams.h>
#include <txmempool.h>
+#include <util/serfloat.h>
#include <util/system.h>
static const char* FEE_ESTIMATES_FILENAME = "fee_estimates.dat";
@@ -26,6 +27,25 @@ std::string StringForFeeEstimateHorizon(FeeEstimateHorizon horizon)
assert(false);
}
+namespace {
+
+struct EncodedDoubleFormatter
+{
+ template<typename Stream> void Ser(Stream &s, double v)
+ {
+ s << EncodeDouble(v);
+ }
+
+ template<typename Stream> void Unser(Stream& s, double& v)
+ {
+ uint64_t encoded;
+ s >> encoded;
+ v = DecodeDouble(encoded);
+ }
+};
+
+} // namespace
+
/**
* We will instantiate an instance of this class to track transactions that were
* included in a block. We will lump transactions into a bucket according to their
@@ -356,12 +376,12 @@ double TxConfirmStats::EstimateMedianVal(int confTarget, double sufficientTxVal,
void TxConfirmStats::Write(CAutoFile& fileout) const
{
- fileout << decay;
+ fileout << Using<EncodedDoubleFormatter>(decay);
fileout << scale;
- fileout << m_feerate_avg;
- fileout << txCtAvg;
- fileout << confAvg;
- fileout << failAvg;
+ fileout << Using<VectorFormatter<EncodedDoubleFormatter>>(m_feerate_avg);
+ fileout << Using<VectorFormatter<EncodedDoubleFormatter>>(txCtAvg);
+ fileout << Using<VectorFormatter<VectorFormatter<EncodedDoubleFormatter>>>(confAvg);
+ fileout << Using<VectorFormatter<VectorFormatter<EncodedDoubleFormatter>>>(failAvg);
}
void TxConfirmStats::Read(CAutoFile& filein, int nFileVersion, size_t numBuckets)
@@ -372,7 +392,7 @@ void TxConfirmStats::Read(CAutoFile& filein, int nFileVersion, size_t numBuckets
size_t maxConfirms, maxPeriods;
// The current version will store the decay with each individual TxConfirmStats and also keep a scale factor
- filein >> decay;
+ filein >> Using<EncodedDoubleFormatter>(decay);
if (decay <= 0 || decay >= 1) {
throw std::runtime_error("Corrupt estimates file. Decay must be between 0 and 1 (non-inclusive)");
}
@@ -381,15 +401,15 @@ void TxConfirmStats::Read(CAutoFile& filein, int nFileVersion, size_t numBuckets
throw std::runtime_error("Corrupt estimates file. Scale must be non-zero");
}
- filein >> m_feerate_avg;
+ filein >> Using<VectorFormatter<EncodedDoubleFormatter>>(m_feerate_avg);
if (m_feerate_avg.size() != numBuckets) {
throw std::runtime_error("Corrupt estimates file. Mismatch in feerate average bucket count");
}
- filein >> txCtAvg;
+ filein >> Using<VectorFormatter<EncodedDoubleFormatter>>(txCtAvg);
if (txCtAvg.size() != numBuckets) {
throw std::runtime_error("Corrupt estimates file. Mismatch in tx count bucket count");
}
- filein >> confAvg;
+ filein >> Using<VectorFormatter<VectorFormatter<EncodedDoubleFormatter>>>(confAvg);
maxPeriods = confAvg.size();
maxConfirms = scale * maxPeriods;
@@ -402,7 +422,7 @@ void TxConfirmStats::Read(CAutoFile& filein, int nFileVersion, size_t numBuckets
}
}
- filein >> failAvg;
+ filein >> Using<VectorFormatter<VectorFormatter<EncodedDoubleFormatter>>>(failAvg);
if (maxPeriods != failAvg.size()) {
throw std::runtime_error("Corrupt estimates file. Mismatch in confirms tracked for failures");
}
@@ -473,6 +493,12 @@ void TxConfirmStats::removeTx(unsigned int entryHeight, unsigned int nBestSeenHe
bool CBlockPolicyEstimator::removeTx(uint256 hash, bool inBlock)
{
LOCK(m_cs_fee_estimator);
+ return _removeTx(hash, inBlock);
+}
+
+bool CBlockPolicyEstimator::_removeTx(const uint256& hash, bool inBlock)
+{
+ AssertLockHeld(m_cs_fee_estimator);
std::map<uint256, TxStatsInfo>::iterator pos = mapMemPoolTxs.find(hash);
if (pos != mapMemPoolTxs.end()) {
feeStats->removeTx(pos->second.blockHeight, nBestSeenHeight, pos->second.bucketIndex, inBlock);
@@ -504,10 +530,10 @@ CBlockPolicyEstimator::CBlockPolicyEstimator()
longStats = std::unique_ptr<TxConfirmStats>(new TxConfirmStats(buckets, bucketMap, LONG_BLOCK_PERIODS, LONG_DECAY, LONG_SCALE));
// If the fee estimation file is present, read recorded estimations
- fs::path est_filepath = GetDataDir() / FEE_ESTIMATES_FILENAME;
+ fs::path est_filepath = gArgs.GetDataDirNet() / FEE_ESTIMATES_FILENAME;
CAutoFile est_file(fsbridge::fopen(est_filepath, "rb"), SER_DISK, CLIENT_VERSION);
if (est_file.IsNull() || !Read(est_file)) {
- LogPrintf("Failed to read fee estimates from %s. Continue anyway.\n", est_filepath.string());
+ LogPrintf("Failed to read fee estimates from %s. Continue anyway.\n", fs::PathToString(est_filepath));
}
}
@@ -529,7 +555,7 @@ void CBlockPolicyEstimator::processTransaction(const CTxMemPoolEntry& entry, boo
if (txHeight != nBestSeenHeight) {
// Ignore side chains and re-orgs; assuming they are random they don't
// affect the estimate. We'll potentially double count transactions in 1-block reorgs.
- // Ignore txs if BlockPolicyEstimator is not in sync with ::ChainActive().Tip().
+ // Ignore txs if BlockPolicyEstimator is not in sync with ActiveChain().Tip().
// It will be synced next time a block is processed.
return;
}
@@ -556,7 +582,8 @@ void CBlockPolicyEstimator::processTransaction(const CTxMemPoolEntry& entry, boo
bool CBlockPolicyEstimator::processBlockTx(unsigned int nBlockHeight, const CTxMemPoolEntry* entry)
{
- if (!removeTx(entry->GetTx().GetHash(), true)) {
+ AssertLockHeld(m_cs_fee_estimator);
+ if (!_removeTx(entry->GetTx().GetHash(), true)) {
// This transaction wasn't being tracked for fee estimation
return false;
}
@@ -864,10 +891,10 @@ CFeeRate CBlockPolicyEstimator::estimateSmartFee(int confTarget, FeeCalculation
void CBlockPolicyEstimator::Flush() {
FlushUnconfirmed();
- fs::path est_filepath = GetDataDir() / FEE_ESTIMATES_FILENAME;
+ fs::path est_filepath = gArgs.GetDataDirNet() / FEE_ESTIMATES_FILENAME;
CAutoFile est_file(fsbridge::fopen(est_filepath, "wb"), SER_DISK, CLIENT_VERSION);
if (est_file.IsNull() || !Write(est_file)) {
- LogPrintf("Failed to write fee estimates to %s. Continue anyway.\n", est_filepath.string());
+ LogPrintf("Failed to write fee estimates to %s. Continue anyway.\n", fs::PathToString(est_filepath));
}
}
@@ -884,7 +911,7 @@ bool CBlockPolicyEstimator::Write(CAutoFile& fileout) const
else {
fileout << historicalFirst << historicalBest;
}
- fileout << buckets;
+ fileout << Using<VectorFormatter<EncodedDoubleFormatter>>(buckets);
feeStats->Write(fileout);
shortStats->Write(fileout);
longStats->Write(fileout);
@@ -920,7 +947,7 @@ bool CBlockPolicyEstimator::Read(CAutoFile& filein)
throw std::runtime_error("Corrupt estimates file. Historical block range for estimates is invalid");
}
std::vector<double> fileBuckets;
- filein >> fileBuckets;
+ filein >> Using<VectorFormatter<EncodedDoubleFormatter>>(fileBuckets);
size_t numBuckets = fileBuckets.size();
if (numBuckets <= 1 || numBuckets > 1000) {
throw std::runtime_error("Corrupt estimates file. Must have between 2 and 1000 feerate buckets");
@@ -965,7 +992,7 @@ void CBlockPolicyEstimator::FlushUnconfirmed() {
// Remove every entry in mapMemPoolTxs
while (!mapMemPoolTxs.empty()) {
auto mi = mapMemPoolTxs.begin();
- removeTx(mi->first, false); // this calls erase() on mapMemPoolTxs
+ _removeTx(mi->first, false); // this calls erase() on mapMemPoolTxs
}
int64_t endclear = GetTimeMicros();
LogPrint(BCLog::ESTIMATEFEE, "Recorded %u unconfirmed txs from mempool in %gs\n", num_entries, (endclear - startclear)*0.000001);
diff --git a/src/policy/fees.h b/src/policy/fees.h
index c444d71a31..6e25bb42b8 100644
--- a/src/policy/fees.h
+++ b/src/policy/fees.h
@@ -1,11 +1,11 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_POLICY_FEES_H
#define BITCOIN_POLICY_FEES_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <policy/feerate.h>
#include <uint256.h>
#include <random.h>
@@ -186,47 +186,59 @@ public:
/** Process all the transactions that have been included in a block */
void processBlock(unsigned int nBlockHeight,
- std::vector<const CTxMemPoolEntry*>& entries);
+ std::vector<const CTxMemPoolEntry*>& entries)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Process a transaction accepted to the mempool*/
- void processTransaction(const CTxMemPoolEntry& entry, bool validFeeEstimate);
+ void processTransaction(const CTxMemPoolEntry& entry, bool validFeeEstimate)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Remove a transaction from the mempool tracking stats*/
- bool removeTx(uint256 hash, bool inBlock);
+ bool removeTx(uint256 hash, bool inBlock)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** DEPRECATED. Return a feerate estimate */
- CFeeRate estimateFee(int confTarget) const;
+ CFeeRate estimateFee(int confTarget) const
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Estimate feerate needed to get be included in a block within confTarget
* blocks. If no answer can be given at confTarget, return an estimate at
* the closest target where one can be given. 'conservative' estimates are
* valid over longer time horizons also.
*/
- CFeeRate estimateSmartFee(int confTarget, FeeCalculation *feeCalc, bool conservative) const;
+ CFeeRate estimateSmartFee(int confTarget, FeeCalculation *feeCalc, bool conservative) const
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Return a specific fee estimate calculation with a given success
* threshold and time horizon, and optionally return detailed data about
* calculation
*/
- CFeeRate estimateRawFee(int confTarget, double successThreshold, FeeEstimateHorizon horizon, EstimationResult *result = nullptr) const;
+ CFeeRate estimateRawFee(int confTarget, double successThreshold, FeeEstimateHorizon horizon,
+ EstimationResult* result = nullptr) const
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Write estimation data to a file */
- bool Write(CAutoFile& fileout) const;
+ bool Write(CAutoFile& fileout) const
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Read estimation data from a file */
- bool Read(CAutoFile& filein);
+ bool Read(CAutoFile& filein)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Empty mempool transactions on shutdown to record failure to confirm for txs still in mempool */
- void FlushUnconfirmed();
+ void FlushUnconfirmed()
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Calculation of highest target that estimates are tracked for */
- unsigned int HighestTargetTracked(FeeEstimateHorizon horizon) const;
+ unsigned int HighestTargetTracked(FeeEstimateHorizon horizon) const
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
/** Drop still unconfirmed transactions and record current estimations, if the fee estimation file is present. */
- void Flush();
+ void Flush()
+ EXCLUSIVE_LOCKS_REQUIRED(!m_cs_fee_estimator);
private:
- mutable RecursiveMutex m_cs_fee_estimator;
+ mutable Mutex m_cs_fee_estimator;
unsigned int nBestSeenHeight GUARDED_BY(m_cs_fee_estimator);
unsigned int firstRecordedHeight GUARDED_BY(m_cs_fee_estimator);
@@ -267,6 +279,10 @@ private:
unsigned int HistoricalBlockSpan() const EXCLUSIVE_LOCKS_REQUIRED(m_cs_fee_estimator);
/** Calculation of highest target that reasonable estimate can be provided for */
unsigned int MaxUsableEstimate() const EXCLUSIVE_LOCKS_REQUIRED(m_cs_fee_estimator);
+
+ /** A non-thread-safe helper for the removeTx function */
+ bool _removeTx(const uint256& hash, bool inBlock)
+ EXCLUSIVE_LOCKS_REQUIRED(m_cs_fee_estimator);
};
class FeeFilterRounder
diff --git a/src/policy/packages.cpp b/src/policy/packages.cpp
new file mode 100644
index 0000000000..21f5488816
--- /dev/null
+++ b/src/policy/packages.cpp
@@ -0,0 +1,79 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <consensus/validation.h>
+#include <policy/packages.h>
+#include <primitives/transaction.h>
+#include <uint256.h>
+#include <util/hasher.h>
+
+#include <numeric>
+#include <unordered_set>
+
+bool CheckPackage(const Package& txns, PackageValidationState& state)
+{
+ const unsigned int package_count = txns.size();
+
+ if (package_count > MAX_PACKAGE_COUNT) {
+ return state.Invalid(PackageValidationResult::PCKG_POLICY, "package-too-many-transactions");
+ }
+
+ const int64_t total_size = std::accumulate(txns.cbegin(), txns.cend(), 0,
+ [](int64_t sum, const auto& tx) { return sum + GetVirtualTransactionSize(*tx); });
+ // If the package only contains 1 tx, it's better to report the policy violation on individual tx size.
+ if (package_count > 1 && total_size > MAX_PACKAGE_SIZE * 1000) {
+ return state.Invalid(PackageValidationResult::PCKG_POLICY, "package-too-large");
+ }
+
+ // Require the package to be sorted in order of dependency, i.e. parents appear before children.
+ // An unsorted package will fail anyway on missing-inputs, but it's better to quit earlier and
+ // fail on something less ambiguous (missing-inputs could also be an orphan or trying to
+ // spend nonexistent coins).
+ std::unordered_set<uint256, SaltedTxidHasher> later_txids;
+ std::transform(txns.cbegin(), txns.cend(), std::inserter(later_txids, later_txids.end()),
+ [](const auto& tx) { return tx->GetHash(); });
+ for (const auto& tx : txns) {
+ for (const auto& input : tx->vin) {
+ if (later_txids.find(input.prevout.hash) != later_txids.end()) {
+ // The parent is a subsequent transaction in the package.
+ return state.Invalid(PackageValidationResult::PCKG_POLICY, "package-not-sorted");
+ }
+ }
+ later_txids.erase(tx->GetHash());
+ }
+
+ // Don't allow any conflicting transactions, i.e. spending the same inputs, in a package.
+ std::unordered_set<COutPoint, SaltedOutpointHasher> inputs_seen;
+ for (const auto& tx : txns) {
+ for (const auto& input : tx->vin) {
+ if (inputs_seen.find(input.prevout) != inputs_seen.end()) {
+ // This input is also present in another tx in the package.
+ return state.Invalid(PackageValidationResult::PCKG_POLICY, "conflict-in-package");
+ }
+ }
+ // Batch-add all the inputs for a tx at a time. If we added them 1 at a time, we could
+ // catch duplicate inputs within a single tx. This is a more severe, consensus error,
+ // and we want to report that from CheckTransaction instead.
+ std::transform(tx->vin.cbegin(), tx->vin.cend(), std::inserter(inputs_seen, inputs_seen.end()),
+ [](const auto& input) { return input.prevout; });
+ }
+ return true;
+}
+
+bool IsChildWithParents(const Package& package)
+{
+ assert(std::all_of(package.cbegin(), package.cend(), [](const auto& tx){return tx != nullptr;}));
+ if (package.size() < 2) return false;
+
+ // The package is expected to be sorted, so the last transaction is the child.
+ const auto& child = package.back();
+ std::unordered_set<uint256, SaltedTxidHasher> input_txids;
+ std::transform(child->vin.cbegin(), child->vin.cend(),
+ std::inserter(input_txids, input_txids.end()),
+ [](const auto& input) { return input.prevout.hash; });
+
+ // Every transaction must be a parent of the last transaction in the package.
+ return std::all_of(package.cbegin(), package.cend() - 1,
+ [&input_txids](const auto& ptx) { return input_txids.count(ptx->GetHash()) > 0; });
+}
diff --git a/src/policy/packages.h b/src/policy/packages.h
new file mode 100644
index 0000000000..9f274f6b7d
--- /dev/null
+++ b/src/policy/packages.h
@@ -0,0 +1,51 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_POLICY_PACKAGES_H
+#define BITCOIN_POLICY_PACKAGES_H
+
+#include <consensus/validation.h>
+#include <policy/policy.h>
+#include <primitives/transaction.h>
+
+#include <vector>
+
+/** Default maximum number of transactions in a package. */
+static constexpr uint32_t MAX_PACKAGE_COUNT{25};
+/** Default maximum total virtual size of transactions in a package in KvB. */
+static constexpr uint32_t MAX_PACKAGE_SIZE{101};
+static_assert(MAX_PACKAGE_SIZE * WITNESS_SCALE_FACTOR * 1000 >= MAX_STANDARD_TX_WEIGHT);
+
+/** A "reason" why a package was invalid. It may be that one or more of the included
+ * transactions is invalid or the package itself violates our rules.
+ * We don't distinguish between consensus and policy violations right now.
+ */
+enum class PackageValidationResult {
+ PCKG_RESULT_UNSET = 0, //!< Initial value. The package has not yet been rejected.
+ PCKG_POLICY, //!< The package itself is invalid (e.g. too many transactions).
+ PCKG_TX, //!< At least one tx is invalid.
+ PCKG_MEMPOOL_ERROR, //!< Mempool logic error.
+};
+
+/** A package is an ordered list of transactions. The transactions cannot conflict with (spend the
+ * same inputs as) one another. */
+using Package = std::vector<CTransactionRef>;
+
+class PackageValidationState : public ValidationState<PackageValidationResult> {};
+
+/** Context-free package policy checks:
+ * 1. The number of transactions cannot exceed MAX_PACKAGE_COUNT.
+ * 2. The total virtual size cannot exceed MAX_PACKAGE_SIZE.
+ * 3. If any dependencies exist between transactions, parents must appear before children.
+ * 4. Transactions cannot conflict, i.e., spend the same inputs.
+ */
+bool CheckPackage(const Package& txns, PackageValidationState& state);
+
+/** Context-free check that a package is exactly one child and its parents; not all parents need to
+ * be present, but the package must not contain any transactions that are not the child's parents.
+ * It is expected to be sorted, which means the last transaction must be the child.
+ */
+bool IsChildWithParents(const Package& package);
+
+#endif // BITCOIN_POLICY_PACKAGES_H
diff --git a/src/policy/policy.cpp b/src/policy/policy.cpp
index 2b5fd4179d..6aba6a4a5b 100644
--- a/src/policy/policy.cpp
+++ b/src/policy/policy.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,12 +21,12 @@ CAmount GetDustThreshold(const CTxOut& txout, const CFeeRate& dustRelayFeeIn)
// need a CTxIn of at least 148 bytes to spend:
// so dust is a spendable txout less than
// 182*dustRelayFee/1000 (in satoshis).
- // 546 satoshis at the default rate of 3000 sat/kB.
- // A typical spendable segwit txout is 31 bytes big, and will
+ // 546 satoshis at the default rate of 3000 sat/kvB.
+ // A typical spendable segwit P2WPKH txout is 31 bytes big, and will
// need a CTxIn of at least 67 bytes to spend:
// so dust is a spendable txout less than
// 98*dustRelayFee/1000 (in satoshis).
- // 294 satoshis at the default rate of 3000 sat/kB.
+ // 294 satoshis at the default rate of 3000 sat/kvB.
if (txout.scriptPubKey.IsUnspendable())
return 0;
@@ -34,6 +34,11 @@ CAmount GetDustThreshold(const CTxOut& txout, const CFeeRate& dustRelayFeeIn)
int witnessversion = 0;
std::vector<unsigned char> witnessprogram;
+ // Note this computation is for spending a Segwit v0 P2WPKH output (a 33 bytes
+ // public key + an ECDSA signature). For Segwit v1 Taproot outputs the minimum
+ // satisfaction is lower (a single BIP340 signature) but this computation was
+ // kept to not further reduce the dust level.
+ // See discussion in https://github.com/bitcoin/bitcoin/pull/22779 for details.
if (txout.scriptPubKey.IsWitnessProgram(witnessversion, witnessprogram)) {
// sum the sizes of the parts of a transaction input
// with 75% segwit discount applied to the script size.
@@ -156,13 +161,13 @@ bool IsStandardTx(const CTransaction& tx, bool permit_bare_multisig, const CFeeR
*
* Note that only the non-witness portion of the transaction is checked here.
*/
-bool AreInputsStandard(const CTransaction& tx, const CCoinsViewCache& mapInputs, bool taproot_active)
+bool AreInputsStandard(const CTransaction& tx, const CCoinsViewCache& mapInputs)
{
- if (tx.IsCoinBase())
+ if (tx.IsCoinBase()) {
return true; // Coinbases don't use vin normally
+ }
- for (unsigned int i = 0; i < tx.vin.size(); i++)
- {
+ for (unsigned int i = 0; i < tx.vin.size(); i++) {
const CTxOut& prev = mapInputs.AccessCoin(tx.vin[i].prevout).out;
std::vector<std::vector<unsigned char> > vSolutions;
@@ -184,9 +189,6 @@ bool AreInputsStandard(const CTransaction& tx, const CCoinsViewCache& mapInputs,
if (subscript.GetSigOpCount(true) > MAX_P2SH_SIGOPS) {
return false;
}
- } else if (whichType == TxoutType::WITNESS_V1_TAPROOT) {
- // Don't allow Taproot spends unless Taproot is active.
- if (!taproot_active) return false;
}
}
@@ -249,7 +251,7 @@ bool IsWitnessStandard(const CTransaction& tx, const CCoinsViewCache& mapInputs)
// - No annexes
if (witnessversion == 1 && witnessprogram.size() == WITNESS_V1_TAPROOT_SIZE && !p2sh) {
// Taproot spend (non-P2SH-wrapped, version 1, witness program size 32; see BIP 341)
- auto stack = MakeSpan(tx.vin[i].scriptWitness.stack);
+ Span stack{tx.vin[i].scriptWitness.stack};
if (stack.size() >= 2 && !stack.back().empty() && stack.back()[0] == ANNEX_TAG) {
// Annexes are nonstandard as long as no semantics are defined for them.
return false;
diff --git a/src/policy/policy.h b/src/policy/policy.h
index f2a3f35546..89f6e72618 100644
--- a/src/policy/policy.h
+++ b/src/policy/policy.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -105,10 +105,9 @@ bool IsStandardTx(const CTransaction& tx, bool permit_bare_multisig, const CFeeR
/**
* Check for standard transaction types
* @param[in] mapInputs Map of previous transactions that have outputs we're spending
-* @param[in] taproot_active Whether or taproot consensus rules are active (used to decide whether spends of them are permitted)
* @return True if all inputs (scriptSigs) use only standard transaction forms
*/
-bool AreInputsStandard(const CTransaction& tx, const CCoinsViewCache& mapInputs, bool taproot_active);
+bool AreInputsStandard(const CTransaction& tx, const CCoinsViewCache& mapInputs);
/**
* Check if the transaction is over standard P2WSH resources limit:
* 3600bytes witnessScript size, 80bytes per witness stack element, 100 witness stack elements
diff --git a/src/policy/rbf.cpp b/src/policy/rbf.cpp
index 8125b41c41..8fe4dc35b8 100644
--- a/src/policy/rbf.cpp
+++ b/src/policy/rbf.cpp
@@ -1,15 +1,19 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <policy/rbf.h>
+
+#include <policy/settings.h>
+#include <tinyformat.h>
+#include <util/moneystr.h>
#include <util/rbf.h>
RBFTransactionState IsRBFOptIn(const CTransaction& tx, const CTxMemPool& pool)
{
AssertLockHeld(pool.cs);
- CTxMemPool::setEntries setAncestors;
+ CTxMemPool::setEntries ancestors;
// First check the transaction itself.
if (SignalsOptInRBF(tx)) {
@@ -18,7 +22,7 @@ RBFTransactionState IsRBFOptIn(const CTransaction& tx, const CTxMemPool& pool)
// If this transaction is not in our mempool, then we can't be sure
// we will know about all its inputs.
- if (!pool.exists(tx.GetHash())) {
+ if (!pool.exists(GenTxid::Txid(tx.GetHash()))) {
return RBFTransactionState::UNKNOWN;
}
@@ -27,9 +31,9 @@ RBFTransactionState IsRBFOptIn(const CTransaction& tx, const CTxMemPool& pool)
uint64_t noLimit = std::numeric_limits<uint64_t>::max();
std::string dummy;
CTxMemPoolEntry entry = *pool.mapTx.find(tx.GetHash());
- pool.CalculateMemPoolAncestors(entry, setAncestors, noLimit, noLimit, noLimit, noLimit, dummy, false);
+ pool.CalculateMemPoolAncestors(entry, ancestors, noLimit, noLimit, noLimit, noLimit, dummy, false);
- for (CTxMemPool::txiter it : setAncestors) {
+ for (CTxMemPool::txiter it : ancestors) {
if (SignalsOptInRBF(it->GetTx())) {
return RBFTransactionState::REPLACEABLE_BIP125;
}
@@ -42,3 +46,131 @@ RBFTransactionState IsRBFOptInEmptyMempool(const CTransaction& tx)
// If we don't have a local mempool we can only check the transaction itself.
return SignalsOptInRBF(tx) ? RBFTransactionState::REPLACEABLE_BIP125 : RBFTransactionState::UNKNOWN;
}
+
+std::optional<std::string> GetEntriesForConflicts(const CTransaction& tx,
+ CTxMemPool& pool,
+ const CTxMemPool::setEntries& iters_conflicting,
+ CTxMemPool::setEntries& all_conflicts)
+{
+ AssertLockHeld(pool.cs);
+ const uint256 txid = tx.GetHash();
+ uint64_t nConflictingCount = 0;
+ for (const auto& mi : iters_conflicting) {
+ nConflictingCount += mi->GetCountWithDescendants();
+ // BIP125 Rule #5: don't consider replacing more than MAX_BIP125_REPLACEMENT_CANDIDATES
+ // entries from the mempool. This potentially overestimates the number of actual
+ // descendants (i.e. if multiple conflicts share a descendant, it will be counted multiple
+ // times), but we just want to be conservative to avoid doing too much work.
+ if (nConflictingCount > MAX_BIP125_REPLACEMENT_CANDIDATES) {
+ return strprintf("rejecting replacement %s; too many potential replacements (%d > %d)\n",
+ txid.ToString(),
+ nConflictingCount,
+ MAX_BIP125_REPLACEMENT_CANDIDATES);
+ }
+ }
+ // Calculate the set of all transactions that would have to be evicted.
+ for (CTxMemPool::txiter it : iters_conflicting) {
+ pool.CalculateDescendants(it, all_conflicts);
+ }
+ return std::nullopt;
+}
+
+std::optional<std::string> HasNoNewUnconfirmed(const CTransaction& tx,
+ const CTxMemPool& pool,
+ const CTxMemPool::setEntries& iters_conflicting)
+{
+ AssertLockHeld(pool.cs);
+ std::set<uint256> parents_of_conflicts;
+ for (const auto& mi : iters_conflicting) {
+ for (const CTxIn& txin : mi->GetTx().vin) {
+ parents_of_conflicts.insert(txin.prevout.hash);
+ }
+ }
+
+ for (unsigned int j = 0; j < tx.vin.size(); j++) {
+ // BIP125 Rule #2: We don't want to accept replacements that require low feerate junk to be
+ // mined first. Ideally we'd keep track of the ancestor feerates and make the decision
+ // based on that, but for now requiring all new inputs to be confirmed works.
+ //
+ // Note that if you relax this to make RBF a little more useful, this may break the
+ // CalculateMempoolAncestors RBF relaxation which subtracts the conflict count/size from the
+ // descendant limit.
+ if (!parents_of_conflicts.count(tx.vin[j].prevout.hash)) {
+ // Rather than check the UTXO set - potentially expensive - it's cheaper to just check
+ // if the new input refers to a tx that's in the mempool.
+ if (pool.exists(GenTxid::Txid(tx.vin[j].prevout.hash))) {
+ return strprintf("replacement %s adds unconfirmed input, idx %d",
+ tx.GetHash().ToString(), j);
+ }
+ }
+ }
+ return std::nullopt;
+}
+
+std::optional<std::string> EntriesAndTxidsDisjoint(const CTxMemPool::setEntries& ancestors,
+ const std::set<uint256>& direct_conflicts,
+ const uint256& txid)
+{
+ for (CTxMemPool::txiter ancestorIt : ancestors) {
+ const uint256& hashAncestor = ancestorIt->GetTx().GetHash();
+ if (direct_conflicts.count(hashAncestor)) {
+ return strprintf("%s spends conflicting transaction %s",
+ txid.ToString(),
+ hashAncestor.ToString());
+ }
+ }
+ return std::nullopt;
+}
+
+std::optional<std::string> PaysMoreThanConflicts(const CTxMemPool::setEntries& iters_conflicting,
+ CFeeRate replacement_feerate,
+ const uint256& txid)
+{
+ for (const auto& mi : iters_conflicting) {
+ // Don't allow the replacement to reduce the feerate of the mempool.
+ //
+ // We usually don't want to accept replacements with lower feerates than what they replaced
+ // as that would lower the feerate of the next block. Requiring that the feerate always be
+ // increased is also an easy-to-reason about way to prevent DoS attacks via replacements.
+ //
+ // We only consider the feerates of transactions being directly replaced, not their indirect
+ // descendants. While that does mean high feerate children are ignored when deciding whether
+ // or not to replace, we do require the replacement to pay more overall fees too, mitigating
+ // most cases.
+ CFeeRate original_feerate(mi->GetModifiedFee(), mi->GetTxSize());
+ if (replacement_feerate <= original_feerate) {
+ return strprintf("rejecting replacement %s; new feerate %s <= old feerate %s",
+ txid.ToString(),
+ replacement_feerate.ToString(),
+ original_feerate.ToString());
+ }
+ }
+ return std::nullopt;
+}
+
+std::optional<std::string> PaysForRBF(CAmount original_fees,
+ CAmount replacement_fees,
+ size_t replacement_vsize,
+ CFeeRate relay_fee,
+ const uint256& txid)
+{
+ // BIP125 Rule #3: The replacement fees must be greater than or equal to fees of the
+ // transactions it replaces, otherwise the bandwidth used by those conflicting transactions
+ // would not be paid for.
+ if (replacement_fees < original_fees) {
+ return strprintf("rejecting replacement %s, less fees than conflicting txs; %s < %s",
+ txid.ToString(), FormatMoney(replacement_fees), FormatMoney(original_fees));
+ }
+
+ // BIP125 Rule #4: The new transaction must pay for its own bandwidth. Otherwise, we have a DoS
+ // vector where attackers can cause a transaction to be replaced (and relayed) repeatedly by
+ // increasing the fee by tiny amounts.
+ CAmount additional_fees = replacement_fees - original_fees;
+ if (additional_fees < relay_fee.GetFee(replacement_vsize)) {
+ return strprintf("rejecting replacement %s, not enough additional fees to relay; %s < %s",
+ txid.ToString(),
+ FormatMoney(additional_fees),
+ FormatMoney(relay_fee.GetFee(replacement_vsize)));
+ }
+ return std::nullopt;
+}
diff --git a/src/policy/rbf.h b/src/policy/rbf.h
index e078070c1c..fcec7052ed 100644
--- a/src/policy/rbf.h
+++ b/src/policy/rbf.h
@@ -1,11 +1,20 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_POLICY_RBF_H
#define BITCOIN_POLICY_RBF_H
+#include <primitives/transaction.h>
#include <txmempool.h>
+#include <uint256.h>
+
+#include <optional>
+#include <string>
+
+/** Maximum number of transactions that can be replaced by BIP125 RBF (Rule #5). This includes all
+ * mempool conflicts and their descendants. */
+static constexpr uint32_t MAX_BIP125_REPLACEMENT_CANDIDATES{100};
/** The rbf state of unconfirmed transactions */
enum class RBFTransactionState {
@@ -31,4 +40,63 @@ enum class RBFTransactionState {
RBFTransactionState IsRBFOptIn(const CTransaction& tx, const CTxMemPool& pool) EXCLUSIVE_LOCKS_REQUIRED(pool.cs);
RBFTransactionState IsRBFOptInEmptyMempool(const CTransaction& tx);
+/** Get all descendants of iters_conflicting. Also enforce BIP125 Rule #5, "The number of original
+ * transactions to be replaced and their descendant transactions which will be evicted from the
+ * mempool must not exceed a total of 100 transactions." Quit as early as possible. There cannot be
+ * more than MAX_BIP125_REPLACEMENT_CANDIDATES potential entries.
+ * @param[in] iters_conflicting The set of iterators to mempool entries.
+ * @param[out] all_conflicts Populated with all the mempool entries that would be replaced,
+ * which includes descendants of iters_conflicting. Not cleared at
+ * the start; any existing mempool entries will remain in the set.
+ * @returns an error message if Rule #5 is broken, otherwise a std::nullopt.
+ */
+std::optional<std::string> GetEntriesForConflicts(const CTransaction& tx, CTxMemPool& pool,
+ const CTxMemPool::setEntries& iters_conflicting,
+ CTxMemPool::setEntries& all_conflicts)
+ EXCLUSIVE_LOCKS_REQUIRED(pool.cs);
+
+/** BIP125 Rule #2: "The replacement transaction may only include an unconfirmed input if that input
+ * was included in one of the original transactions."
+ * @returns error message if Rule #2 is broken, otherwise std::nullopt. */
+std::optional<std::string> HasNoNewUnconfirmed(const CTransaction& tx, const CTxMemPool& pool,
+ const CTxMemPool::setEntries& iters_conflicting)
+ EXCLUSIVE_LOCKS_REQUIRED(pool.cs);
+
+/** Check the intersection between two sets of transactions (a set of mempool entries and a set of
+ * txids) to make sure they are disjoint.
+ * @param[in] ancestors Set of mempool entries corresponding to ancestors of the
+ * replacement transactions.
+ * @param[in] direct_conflicts Set of txids corresponding to the mempool conflicts
+ * (candidates to be replaced).
+ * @param[in] txid Transaction ID, included in the error message if violation occurs.
+ * @returns error message if the sets intersect, std::nullopt if they are disjoint.
+ */
+std::optional<std::string> EntriesAndTxidsDisjoint(const CTxMemPool::setEntries& ancestors,
+ const std::set<uint256>& direct_conflicts,
+ const uint256& txid);
+
+/** Check that the feerate of the replacement transaction(s) is higher than the feerate of each
+ * of the transactions in iters_conflicting.
+ * @param[in] iters_conflicting The set of mempool entries.
+ * @returns error message if fees insufficient, otherwise std::nullopt.
+ */
+std::optional<std::string> PaysMoreThanConflicts(const CTxMemPool::setEntries& iters_conflicting,
+ CFeeRate replacement_feerate, const uint256& txid);
+
+/** Enforce BIP125 Rule #3 "The replacement transaction pays an absolute fee of at least the sum
+ * paid by the original transactions." Enforce BIP125 Rule #4 "The replacement transaction must also
+ * pay for its own bandwidth at or above the rate set by the node's minimum relay fee setting."
+ * @param[in] original_fees Total modified fees of original transaction(s).
+ * @param[in] replacement_fees Total modified fees of replacement transaction(s).
+ * @param[in] replacement_vsize Total virtual size of replacement transaction(s).
+ * @param[in] relay_fee The node's minimum feerate for transaction relay.
+ * @param[in] txid Transaction ID, included in the error message if violation occurs.
+ * @returns error string if fees are insufficient, otherwise std::nullopt.
+ */
+std::optional<std::string> PaysForRBF(CAmount original_fees,
+ CAmount replacement_fees,
+ size_t replacement_vsize,
+ CFeeRate relay_fee,
+ const uint256& txid);
+
#endif // BITCOIN_POLICY_RBF_H
diff --git a/src/primitives/transaction.cpp b/src/primitives/transaction.cpp
index 245206b906..f7f6ae4480 100644
--- a/src/primitives/transaction.cpp
+++ b/src/primitives/transaction.cpp
@@ -1,10 +1,11 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <primitives/transaction.h>
+#include <consensus/amount.h>
#include <hash.h>
#include <tinyformat.h>
#include <util/strencodings.h>
diff --git a/src/primitives/transaction.h b/src/primitives/transaction.h
index 30ca607dc4..fb98fb6868 100644
--- a/src/primitives/transaction.h
+++ b/src/primitives/transaction.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,7 @@
#define BITCOIN_PRIMITIVES_TRANSACTION_H
#include <stdint.h>
-#include <amount.h>
+#include <consensus/amount.h>
#include <script/script.h>
#include <serialize.h>
#include <uint256.h>
@@ -70,25 +70,45 @@ public:
uint32_t nSequence;
CScriptWitness scriptWitness; //!< Only serialized through CTransaction
- /* Setting nSequence to this value for every input in a transaction
- * disables nLockTime. */
+ /**
+ * Setting nSequence to this value for every input in a transaction
+ * disables nLockTime/IsFinalTx().
+ * It fails OP_CHECKLOCKTIMEVERIFY/CheckLockTime() for any input that has
+ * it set (BIP 65).
+ * It has SEQUENCE_LOCKTIME_DISABLE_FLAG set (BIP 68/112).
+ */
static const uint32_t SEQUENCE_FINAL = 0xffffffff;
+ /**
+ * This is the maximum sequence number that enables both nLockTime and
+ * OP_CHECKLOCKTIMEVERIFY (BIP 65).
+ * It has SEQUENCE_LOCKTIME_DISABLE_FLAG set (BIP 68/112).
+ */
+ static const uint32_t MAX_SEQUENCE_NONFINAL{SEQUENCE_FINAL - 1};
- /* Below flags apply in the context of BIP 68*/
- /* If this flag set, CTxIn::nSequence is NOT interpreted as a
- * relative lock-time. */
+ // Below flags apply in the context of BIP 68. BIP 68 requires the tx
+ // version to be set to 2, or higher.
+ /**
+ * If this flag is set, CTxIn::nSequence is NOT interpreted as a
+ * relative lock-time.
+ * It skips SequenceLocks() for any input that has it set (BIP 68).
+ * It fails OP_CHECKSEQUENCEVERIFY/CheckSequence() for any input that has
+ * it set (BIP 112).
+ */
static const uint32_t SEQUENCE_LOCKTIME_DISABLE_FLAG = (1U << 31);
- /* If CTxIn::nSequence encodes a relative lock-time and this flag
+ /**
+ * If CTxIn::nSequence encodes a relative lock-time and this flag
* is set, the relative lock-time has units of 512 seconds,
* otherwise it specifies blocks with a granularity of 1. */
static const uint32_t SEQUENCE_LOCKTIME_TYPE_FLAG = (1 << 22);
- /* If CTxIn::nSequence encodes a relative lock-time, this mask is
+ /**
+ * If CTxIn::nSequence encodes a relative lock-time, this mask is
* applied to extract that lock-time from the sequence field. */
static const uint32_t SEQUENCE_LOCKTIME_MASK = 0x0000ffff;
- /* In order to use the same number of bits to encode roughly the
+ /**
+ * In order to use the same number of bits to encode roughly the
* same wall-clock duration, and because blocks are naturally
* limited to occur every 600s on average, the minimum granularity
* for time-based relative lock-time is fixed at 512 seconds.
@@ -391,8 +411,11 @@ class GenTxid
{
bool m_is_wtxid;
uint256 m_hash;
-public:
GenTxid(bool is_wtxid, const uint256& hash) : m_is_wtxid(is_wtxid), m_hash(hash) {}
+
+public:
+ static GenTxid Txid(const uint256& hash) { return GenTxid{false, hash}; }
+ static GenTxid Wtxid(const uint256& hash) { return GenTxid{true, hash}; }
bool IsWtxid() const { return m_is_wtxid; }
const uint256& GetHash() const { return m_hash; }
friend bool operator==(const GenTxid& a, const GenTxid& b) { return a.m_is_wtxid == b.m_is_wtxid && a.m_hash == b.m_hash; }
diff --git a/src/protocol.cpp b/src/protocol.cpp
index 0b893b9272..139405170b 100644
--- a/src/protocol.cpp
+++ b/src/protocol.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -87,26 +87,16 @@ const static std::string allNetMessageTypes[] = {
};
const static std::vector<std::string> allNetMessageTypesVec(std::begin(allNetMessageTypes), std::end(allNetMessageTypes));
-CMessageHeader::CMessageHeader()
-{
- memset(pchMessageStart, 0, MESSAGE_START_SIZE);
- memset(pchCommand, 0, sizeof(pchCommand));
- nMessageSize = -1;
- memset(pchChecksum, 0, CHECKSUM_SIZE);
-}
-
CMessageHeader::CMessageHeader(const MessageStartChars& pchMessageStartIn, const char* pszCommand, unsigned int nMessageSizeIn)
{
memcpy(pchMessageStart, pchMessageStartIn, MESSAGE_START_SIZE);
- // Copy the command name, zero-padding to COMMAND_SIZE bytes
+ // Copy the command name
size_t i = 0;
for (; i < COMMAND_SIZE && pszCommand[i] != 0; ++i) pchCommand[i] = pszCommand[i];
assert(pszCommand[i] == 0); // Assert that the command name passed in is not longer than COMMAND_SIZE
- for (; i < COMMAND_SIZE; ++i) pchCommand[i] = 0;
nMessageSize = nMessageSizeIn;
- memset(pchChecksum, 0, CHECKSUM_SIZE);
}
std::string CMessageHeader::GetCommand() const
@@ -233,5 +223,5 @@ std::vector<std::string> serviceFlagsToStr(uint64_t flags)
GenTxid ToGenTxid(const CInv& inv)
{
assert(inv.IsGenTxMsg());
- return {inv.IsMsgWtx(), inv.hash};
+ return inv.IsMsgWtx() ? GenTxid::Wtxid(inv.hash) : GenTxid::Txid(inv.hash);
}
diff --git a/src/protocol.h b/src/protocol.h
index f183db0501..fdeaa9a9c5 100644
--- a/src/protocol.h
+++ b/src/protocol.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,9 +13,11 @@
#include <netaddress.h>
#include <primitives/transaction.h>
#include <serialize.h>
+#include <streams.h>
#include <uint256.h>
#include <version.h>
+#include <limits>
#include <stdint.h>
#include <string>
@@ -37,7 +39,7 @@ public:
static constexpr size_t HEADER_SIZE = MESSAGE_START_SIZE + COMMAND_SIZE + MESSAGE_SIZE_SIZE + CHECKSUM_SIZE;
typedef unsigned char MessageStartChars[MESSAGE_START_SIZE];
- explicit CMessageHeader();
+ explicit CMessageHeader() = default;
/** Construct a P2P message header from message-start characters, a command and the size of the message.
* @note Passing in a `pszCommand` longer than COMMAND_SIZE will result in a run-time assertion error.
@@ -49,10 +51,10 @@ public:
SERIALIZE_METHODS(CMessageHeader, obj) { READWRITE(obj.pchMessageStart, obj.pchCommand, obj.nMessageSize, obj.pchChecksum); }
- char pchMessageStart[MESSAGE_START_SIZE];
- char pchCommand[COMMAND_SIZE];
- uint32_t nMessageSize;
- uint8_t pchChecksum[CHECKSUM_SIZE];
+ char pchMessageStart[MESSAGE_START_SIZE]{};
+ char pchCommand[COMMAND_SIZE]{};
+ uint32_t nMessageSize{std::numeric_limits<uint32_t>::max()};
+ uint8_t pchChecksum[CHECKSUM_SIZE]{};
};
/**
@@ -357,6 +359,31 @@ class CAddress : public CService
{
static constexpr uint32_t TIME_INIT{100000000};
+ /** Historically, CAddress disk serialization stored the CLIENT_VERSION, optionally OR'ed with
+ * the ADDRV2_FORMAT flag to indicate V2 serialization. The first field has since been
+ * disentangled from client versioning, and now instead:
+ * - The low bits (masked by DISK_VERSION_IGNORE_MASK) store the fixed value DISK_VERSION_INIT,
+ * (in case any code exists that treats it as a client version) but are ignored on
+ * deserialization.
+ * - The high bits (masked by ~DISK_VERSION_IGNORE_MASK) store actual serialization information.
+ * Only 0 or DISK_VERSION_ADDRV2 (equal to the historical ADDRV2_FORMAT) are valid now, and
+ * any other value triggers a deserialization failure. Other values can be added later if
+ * needed.
+ *
+ * For disk deserialization, ADDRV2_FORMAT in the stream version signals that ADDRV2
+ * deserialization is permitted, but the actual format is determined by the high bits in the
+ * stored version field. For network serialization, the stream version having ADDRV2_FORMAT or
+ * not determines the actual format used (as it has no embedded version number).
+ */
+ static constexpr uint32_t DISK_VERSION_INIT{220000};
+ static constexpr uint32_t DISK_VERSION_IGNORE_MASK{0b00000000'00000111'11111111'11111111};
+ /** The version number written in disk serialized addresses to indicate V2 serializations.
+ * It must be exactly 1<<29, as that is the value that historical versions used for this
+ * (they used their internal ADDRV2_FORMAT flag here). */
+ static constexpr uint32_t DISK_VERSION_ADDRV2{1 << 29};
+ static_assert((DISK_VERSION_INIT & ~DISK_VERSION_IGNORE_MASK) == 0, "DISK_VERSION_INIT must be covered by DISK_VERSION_IGNORE_MASK");
+ static_assert((DISK_VERSION_ADDRV2 & DISK_VERSION_IGNORE_MASK) == 0, "DISK_VERSION_ADDRV2 must not be covered by DISK_VERSION_IGNORE_MASK");
+
public:
CAddress() : CService{} {};
CAddress(CService ipIn, ServiceFlags nServicesIn) : CService{ipIn}, nServices{nServicesIn} {};
@@ -364,22 +391,39 @@ public:
SERIALIZE_METHODS(CAddress, obj)
{
- SER_READ(obj, obj.nTime = TIME_INIT);
- int nVersion = s.GetVersion();
+ // CAddress has a distinct network serialization and a disk serialization, but it should never
+ // be hashed (except through CHashWriter in addrdb.cpp, which sets SER_DISK), and it's
+ // ambiguous what that would mean. Make sure no code relying on that is introduced:
+ assert(!(s.GetType() & SER_GETHASH));
+ bool use_v2;
if (s.GetType() & SER_DISK) {
- READWRITE(nVersion);
- }
- if ((s.GetType() & SER_DISK) ||
- (nVersion != INIT_PROTO_VERSION && !(s.GetType() & SER_GETHASH))) {
- // The only time we serialize a CAddress object without nTime is in
- // the initial VERSION messages which contain two CAddress records.
- // At that point, the serialization version is INIT_PROTO_VERSION.
- // After the version handshake, serialization version is >=
- // MIN_PEER_PROTO_VERSION and all ADDR messages are serialized with
- // nTime.
- READWRITE(obj.nTime);
+ // In the disk serialization format, the encoding (v1 or v2) is determined by a flag version
+ // that's part of the serialization itself. ADDRV2_FORMAT in the stream version only determines
+ // whether V2 is chosen/permitted at all.
+ uint32_t stored_format_version = DISK_VERSION_INIT;
+ if (s.GetVersion() & ADDRV2_FORMAT) stored_format_version |= DISK_VERSION_ADDRV2;
+ READWRITE(stored_format_version);
+ stored_format_version &= ~DISK_VERSION_IGNORE_MASK; // ignore low bits
+ if (stored_format_version == 0) {
+ use_v2 = false;
+ } else if (stored_format_version == DISK_VERSION_ADDRV2 && (s.GetVersion() & ADDRV2_FORMAT)) {
+ // Only support v2 deserialization if ADDRV2_FORMAT is set.
+ use_v2 = true;
+ } else {
+ throw std::ios_base::failure("Unsupported CAddress disk format version");
+ }
+ } else {
+ // In the network serialization format, the encoding (v1 or v2) is determined directly by
+ // the value of ADDRV2_FORMAT in the stream version, as no explicitly encoded version
+ // exists in the stream.
+ assert(s.GetType() & SER_NETWORK);
+ use_v2 = s.GetVersion() & ADDRV2_FORMAT;
}
- if (nVersion & ADDRV2_FORMAT) {
+
+ SER_READ(obj, obj.nTime = TIME_INIT);
+ READWRITE(obj.nTime);
+ // nServices is serialized as CompactSize in V2; as uint64_t in V1.
+ if (use_v2) {
uint64_t services_tmp;
SER_WRITE(obj, services_tmp = obj.nServices);
READWRITE(Using<CompactSizeFormatter<false>>(services_tmp));
@@ -387,13 +431,22 @@ public:
} else {
READWRITE(Using<CustomUintFormatter<8>>(obj.nServices));
}
- READWRITEAS(CService, obj);
+ // Invoke V1/V2 serializer for CService parent object.
+ OverrideStream<Stream> os(&s, s.GetType(), use_v2 ? ADDRV2_FORMAT : 0);
+ SerReadWriteMany(os, ser_action, ReadWriteAsHelper<CService>(obj));
}
- // disk and network only
+ //! Always included in serialization.
uint32_t nTime{TIME_INIT};
-
+ //! Serialized as uint64_t in V1, and as CompactSize in V2.
ServiceFlags nServices{NODE_NONE};
+
+ friend bool operator==(const CAddress& a, const CAddress& b)
+ {
+ return a.nTime == b.nTime &&
+ a.nServices == b.nServices &&
+ static_cast<const CService&>(a) == static_cast<const CService&>(b);
+ }
};
/** getdata message type flags */
diff --git a/src/psbt.cpp b/src/psbt.cpp
index a849b2ea53..c8c73e130b 100644
--- a/src/psbt.cpp
+++ b/src/psbt.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -32,6 +32,13 @@ bool PartiallySignedTransaction::Merge(const PartiallySignedTransaction& psbt)
for (unsigned int i = 0; i < outputs.size(); ++i) {
outputs[i].Merge(psbt.outputs[i]);
}
+ for (auto& xpub_pair : psbt.m_xpubs) {
+ if (m_xpubs.count(xpub_pair.first) == 0) {
+ m_xpubs[xpub_pair.first] = xpub_pair.second;
+ } else {
+ m_xpubs[xpub_pair.first].insert(xpub_pair.second.begin(), xpub_pair.second.end());
+ }
+ }
unknown.insert(psbt.unknown.begin(), psbt.unknown.end());
return true;
@@ -59,12 +66,15 @@ bool PartiallySignedTransaction::AddOutput(const CTxOut& txout, const PSBTOutput
bool PartiallySignedTransaction::GetInputUTXO(CTxOut& utxo, int input_index) const
{
- PSBTInput input = inputs[input_index];
+ const PSBTInput& input = inputs[input_index];
uint32_t prevout_index = tx->vin[input_index].prevout.n;
if (input.non_witness_utxo) {
if (prevout_index >= input.non_witness_utxo->vout.size()) {
return false;
}
+ if (input.non_witness_utxo->GetHash() != tx->vin[input_index].prevout.hash) {
+ return false;
+ }
utxo = input.non_witness_utxo->vout[prevout_index];
} else if (!input.witness_utxo.IsNull()) {
utxo = input.witness_utxo;
@@ -143,6 +153,10 @@ void PSBTInput::Merge(const PSBTInput& input)
}
partial_sigs.insert(input.partial_sigs.begin(), input.partial_sigs.end());
+ ripemd160_preimages.insert(input.ripemd160_preimages.begin(), input.ripemd160_preimages.end());
+ sha256_preimages.insert(input.sha256_preimages.begin(), input.sha256_preimages.end());
+ hash160_preimages.insert(input.hash160_preimages.begin(), input.hash160_preimages.end());
+ hash256_preimages.insert(input.hash256_preimages.begin(), input.hash256_preimages.end());
hd_keypaths.insert(input.hd_keypaths.begin(), input.hd_keypaths.end());
unknown.insert(input.unknown.begin(), input.unknown.end());
@@ -220,14 +234,31 @@ void UpdatePSBTOutput(const SigningProvider& provider, PartiallySignedTransactio
// Construct a would-be spend of this output, to update sigdata with.
// Note that ProduceSignature is used to fill in metadata (not actual signatures),
// so provider does not need to provide any private keys (it can be a HidingSigningProvider).
- MutableTransactionSignatureCreator creator(&tx, /* index */ 0, out.nValue, SIGHASH_ALL);
+ MutableTransactionSignatureCreator creator(&tx, /*input_idx=*/0, out.nValue, SIGHASH_ALL);
ProduceSignature(provider, creator, out.scriptPubKey, sigdata);
// Put redeem_script, witness_script, key paths, into PSBTOutput.
psbt_out.FromSignatureData(sigdata);
}
-bool SignPSBTInput(const SigningProvider& provider, PartiallySignedTransaction& psbt, int index, int sighash, SignatureData* out_sigdata, bool use_dummy)
+PrecomputedTransactionData PrecomputePSBTData(const PartiallySignedTransaction& psbt)
+{
+ const CMutableTransaction& tx = *psbt.tx;
+ bool have_all_spent_outputs = true;
+ std::vector<CTxOut> utxos(tx.vin.size());
+ for (size_t idx = 0; idx < tx.vin.size(); ++idx) {
+ if (!psbt.GetInputUTXO(utxos[idx], idx)) have_all_spent_outputs = false;
+ }
+ PrecomputedTransactionData txdata;
+ if (have_all_spent_outputs) {
+ txdata.Init(tx, std::move(utxos), true);
+ } else {
+ txdata.Init(tx, {}, true);
+ }
+ return txdata;
+}
+
+bool SignPSBTInput(const SigningProvider& provider, PartiallySignedTransaction& psbt, int index, const PrecomputedTransactionData* txdata, int sighash, SignatureData* out_sigdata, bool finalize)
{
PSBTInput& input = psbt.inputs.at(index);
const CMutableTransaction& tx = *psbt.tx;
@@ -267,14 +298,18 @@ bool SignPSBTInput(const SigningProvider& provider, PartiallySignedTransaction&
sigdata.witness = false;
bool sig_complete;
- if (use_dummy) {
+ if (txdata == nullptr) {
sig_complete = ProduceSignature(provider, DUMMY_SIGNATURE_CREATOR, utxo.scriptPubKey, sigdata);
} else {
- MutableTransactionSignatureCreator creator(&tx, index, utxo.nValue, sighash);
+ MutableTransactionSignatureCreator creator(&tx, index, utxo.nValue, txdata, sighash);
sig_complete = ProduceSignature(provider, creator, utxo.scriptPubKey, sigdata);
}
// Verify that a witness signature was produced in case one was required.
if (require_witness_sig && !sigdata.witness) return false;
+
+ // If we are not finalizing, set sigdata.complete to false to not set the scriptWitness
+ if (!finalize && sigdata.complete) sigdata.complete = false;
+
input.FromSignatureData(sigdata);
// If we have a witness signature, put a witness UTXO.
@@ -302,8 +337,9 @@ bool FinalizePSBT(PartiallySignedTransaction& psbtx)
// PartiallySignedTransaction did not understand them), this will combine them into a final
// script.
bool complete = true;
+ const PrecomputedTransactionData txdata = PrecomputePSBTData(psbtx);
for (unsigned int i = 0; i < psbtx.tx->vin.size(); ++i) {
- complete &= SignPSBTInput(DUMMY_SIGNING_PROVIDER, psbtx, i, SIGHASH_ALL);
+ complete &= SignPSBTInput(DUMMY_SIGNING_PROVIDER, psbtx, i, &txdata, SIGHASH_ALL, nullptr, true);
}
return complete;
@@ -363,7 +399,7 @@ bool DecodeBase64PSBT(PartiallySignedTransaction& psbt, const std::string& base6
bool DecodeRawPSBT(PartiallySignedTransaction& psbt, const std::string& tx_data, std::string& error)
{
- CDataStream ss_data(MakeUCharSpan(tx_data), SER_NETWORK, PROTOCOL_VERSION);
+ CDataStream ss_data(MakeByteSpan(tx_data), SER_NETWORK, PROTOCOL_VERSION);
try {
ss_data >> psbt;
if (!ss_data.empty()) {
@@ -376,3 +412,11 @@ bool DecodeRawPSBT(PartiallySignedTransaction& psbt, const std::string& tx_data,
}
return true;
}
+
+uint32_t PartiallySignedTransaction::GetVersion() const
+{
+ if (m_version != std::nullopt) {
+ return *m_version;
+ }
+ return 0;
+}
diff --git a/src/psbt.h b/src/psbt.h
index b566726ee3..f0ceb02481 100644
--- a/src/psbt.h
+++ b/src/psbt.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,18 +7,25 @@
#include <attributes.h>
#include <node/transaction.h>
-#include <optional.h>
#include <policy/feerate.h>
#include <primitives/transaction.h>
#include <pubkey.h>
+#include <script/keyorigin.h>
#include <script/sign.h>
#include <script/signingprovider.h>
+#include <span.h>
+#include <streams.h>
+
+#include <optional>
// Magic bytes
static constexpr uint8_t PSBT_MAGIC_BYTES[5] = {'p', 's', 'b', 't', 0xff};
// Global types
static constexpr uint8_t PSBT_GLOBAL_UNSIGNED_TX = 0x00;
+static constexpr uint8_t PSBT_GLOBAL_XPUB = 0x01;
+static constexpr uint8_t PSBT_GLOBAL_VERSION = 0xFB;
+static constexpr uint8_t PSBT_GLOBAL_PROPRIETARY = 0xFC;
// Input types
static constexpr uint8_t PSBT_IN_NON_WITNESS_UTXO = 0x00;
@@ -30,11 +37,17 @@ static constexpr uint8_t PSBT_IN_WITNESSSCRIPT = 0x05;
static constexpr uint8_t PSBT_IN_BIP32_DERIVATION = 0x06;
static constexpr uint8_t PSBT_IN_SCRIPTSIG = 0x07;
static constexpr uint8_t PSBT_IN_SCRIPTWITNESS = 0x08;
+static constexpr uint8_t PSBT_IN_RIPEMD160 = 0x0A;
+static constexpr uint8_t PSBT_IN_SHA256 = 0x0B;
+static constexpr uint8_t PSBT_IN_HASH160 = 0x0C;
+static constexpr uint8_t PSBT_IN_HASH256 = 0x0D;
+static constexpr uint8_t PSBT_IN_PROPRIETARY = 0xFC;
// Output types
static constexpr uint8_t PSBT_OUT_REDEEMSCRIPT = 0x00;
static constexpr uint8_t PSBT_OUT_WITNESSSCRIPT = 0x01;
static constexpr uint8_t PSBT_OUT_BIP32_DERIVATION = 0x02;
+static constexpr uint8_t PSBT_OUT_PROPRIETARY = 0xFC;
// The separator is 0x00. Reading this in means that the unserializer can interpret it
// as a 0 length key which indicates that this is the separator. The separator has no value.
@@ -44,6 +57,113 @@ static constexpr uint8_t PSBT_SEPARATOR = 0x00;
// to prevent reading a stream indefinitely and running out of memory.
const std::streamsize MAX_FILE_SIZE_PSBT = 100000000; // 100 MiB
+// PSBT version number
+static constexpr uint32_t PSBT_HIGHEST_VERSION = 0;
+
+/** A structure for PSBT proprietary types */
+struct PSBTProprietary
+{
+ uint64_t subtype;
+ std::vector<unsigned char> identifier;
+ std::vector<unsigned char> key;
+ std::vector<unsigned char> value;
+
+ bool operator<(const PSBTProprietary &b) const {
+ return key < b.key;
+ }
+ bool operator==(const PSBTProprietary &b) const {
+ return key == b.key;
+ }
+};
+
+// Takes a stream and multiple arguments and serializes them as if first serialized into a vector and then into the stream
+// The resulting output into the stream has the total serialized length of all of the objects followed by all objects concatenated with each other.
+template<typename Stream, typename... X>
+void SerializeToVector(Stream& s, const X&... args)
+{
+ WriteCompactSize(s, GetSerializeSizeMany(s.GetVersion(), args...));
+ SerializeMany(s, args...);
+}
+
+// Takes a stream and multiple arguments and unserializes them first as a vector then each object individually in the order provided in the arguments
+template<typename Stream, typename... X>
+void UnserializeFromVector(Stream& s, X&... args)
+{
+ size_t expected_size = ReadCompactSize(s);
+ size_t remaining_before = s.size();
+ UnserializeMany(s, args...);
+ size_t remaining_after = s.size();
+ if (remaining_after + expected_size != remaining_before) {
+ throw std::ios_base::failure("Size of value was not the stated size");
+ }
+}
+
+// Deserialize an individual HD keypath to a stream
+template<typename Stream>
+void DeserializeHDKeypath(Stream& s, KeyOriginInfo& hd_keypath)
+{
+ // Read in key path
+ uint64_t value_len = ReadCompactSize(s);
+ if (value_len % 4 || value_len == 0) {
+ throw std::ios_base::failure("Invalid length for HD key path");
+ }
+
+ s >> hd_keypath.fingerprint;
+ for (unsigned int i = 4; i < value_len; i += sizeof(uint32_t)) {
+ uint32_t index;
+ s >> index;
+ hd_keypath.path.push_back(index);
+ }
+}
+
+// Deserialize HD keypaths into a map
+template<typename Stream>
+void DeserializeHDKeypaths(Stream& s, const std::vector<unsigned char>& key, std::map<CPubKey, KeyOriginInfo>& hd_keypaths)
+{
+ // Make sure that the key is the size of pubkey + 1
+ if (key.size() != CPubKey::SIZE + 1 && key.size() != CPubKey::COMPRESSED_SIZE + 1) {
+ throw std::ios_base::failure("Size of key was not the expected size for the type BIP32 keypath");
+ }
+ // Read in the pubkey from key
+ CPubKey pubkey(key.begin() + 1, key.end());
+ if (!pubkey.IsFullyValid()) {
+ throw std::ios_base::failure("Invalid pubkey");
+ }
+ if (hd_keypaths.count(pubkey) > 0) {
+ throw std::ios_base::failure("Duplicate Key, pubkey derivation path already provided");
+ }
+
+ KeyOriginInfo keypath;
+ DeserializeHDKeypath(s, keypath);
+
+ // Add to map
+ hd_keypaths.emplace(pubkey, std::move(keypath));
+}
+
+// Serialize an individual HD keypath to a stream
+template<typename Stream>
+void SerializeHDKeypath(Stream& s, KeyOriginInfo hd_keypath)
+{
+ WriteCompactSize(s, (hd_keypath.path.size() + 1) * sizeof(uint32_t));
+ s << hd_keypath.fingerprint;
+ for (const auto& path : hd_keypath.path) {
+ s << path;
+ }
+}
+
+// Serialize HD keypaths to a stream from a map
+template<typename Stream>
+void SerializeHDKeypaths(Stream& s, const std::map<CPubKey, KeyOriginInfo>& hd_keypaths, CompactSizeWriter type)
+{
+ for (auto keypath_pair : hd_keypaths) {
+ if (!keypath_pair.first.IsValid()) {
+ throw std::ios_base::failure("Invalid CPubKey being serialized");
+ }
+ SerializeToVector(s, type, Span{keypath_pair.first});
+ SerializeHDKeypath(s, keypath_pair.second);
+ }
+}
+
/** A structure for PSBTs which contain per-input information */
struct PSBTInput
{
@@ -55,8 +175,13 @@ struct PSBTInput
CScriptWitness final_script_witness;
std::map<CPubKey, KeyOriginInfo> hd_keypaths;
std::map<CKeyID, SigPair> partial_sigs;
+ std::map<uint160, std::vector<unsigned char>> ripemd160_preimages;
+ std::map<uint256, std::vector<unsigned char>> sha256_preimages;
+ std::map<uint160, std::vector<unsigned char>> hash160_preimages;
+ std::map<uint256, std::vector<unsigned char>> hash256_preimages;
std::map<std::vector<unsigned char>, std::vector<unsigned char>> unknown;
- int sighash_type = 0;
+ std::set<PSBTProprietary> m_proprietary;
+ std::optional<int> sighash_type;
bool IsNull() const;
void FillSignatureData(SignatureData& sigdata) const;
@@ -68,55 +193,85 @@ struct PSBTInput
inline void Serialize(Stream& s) const {
// Write the utxo
if (non_witness_utxo) {
- SerializeToVector(s, PSBT_IN_NON_WITNESS_UTXO);
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_NON_WITNESS_UTXO));
OverrideStream<Stream> os(&s, s.GetType(), s.GetVersion() | SERIALIZE_TRANSACTION_NO_WITNESS);
SerializeToVector(os, non_witness_utxo);
}
if (!witness_utxo.IsNull()) {
- SerializeToVector(s, PSBT_IN_WITNESS_UTXO);
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_WITNESS_UTXO));
SerializeToVector(s, witness_utxo);
}
if (final_script_sig.empty() && final_script_witness.IsNull()) {
// Write any partial signatures
for (auto sig_pair : partial_sigs) {
- SerializeToVector(s, PSBT_IN_PARTIAL_SIG, MakeSpan(sig_pair.second.first));
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_PARTIAL_SIG), Span{sig_pair.second.first});
s << sig_pair.second.second;
}
// Write the sighash type
- if (sighash_type > 0) {
- SerializeToVector(s, PSBT_IN_SIGHASH);
- SerializeToVector(s, sighash_type);
+ if (sighash_type != std::nullopt) {
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_SIGHASH));
+ SerializeToVector(s, *sighash_type);
}
// Write the redeem script
if (!redeem_script.empty()) {
- SerializeToVector(s, PSBT_IN_REDEEMSCRIPT);
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_REDEEMSCRIPT));
s << redeem_script;
}
// Write the witness script
if (!witness_script.empty()) {
- SerializeToVector(s, PSBT_IN_WITNESSSCRIPT);
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_WITNESSSCRIPT));
s << witness_script;
}
// Write any hd keypaths
- SerializeHDKeypaths(s, hd_keypaths, PSBT_IN_BIP32_DERIVATION);
+ SerializeHDKeypaths(s, hd_keypaths, CompactSizeWriter(PSBT_IN_BIP32_DERIVATION));
+
+ // Write any ripemd160 preimage
+ for (const auto& [hash, preimage] : ripemd160_preimages) {
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_RIPEMD160), Span{hash});
+ s << preimage;
+ }
+
+ // Write any sha256 preimage
+ for (const auto& [hash, preimage] : sha256_preimages) {
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_SHA256), Span{hash});
+ s << preimage;
+ }
+
+ // Write any hash160 preimage
+ for (const auto& [hash, preimage] : hash160_preimages) {
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_HASH160), Span{hash});
+ s << preimage;
+ }
+
+ // Write any hash256 preimage
+ for (const auto& [hash, preimage] : hash256_preimages) {
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_HASH256), Span{hash});
+ s << preimage;
+ }
}
// Write script sig
if (!final_script_sig.empty()) {
- SerializeToVector(s, PSBT_IN_SCRIPTSIG);
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_SCRIPTSIG));
s << final_script_sig;
}
// write script witness
if (!final_script_witness.IsNull()) {
- SerializeToVector(s, PSBT_IN_SCRIPTWITNESS);
+ SerializeToVector(s, CompactSizeWriter(PSBT_IN_SCRIPTWITNESS));
SerializeToVector(s, final_script_witness.stack);
}
+ // Write proprietary things
+ for (const auto& entry : m_proprietary) {
+ s << entry.key;
+ s << entry.value;
+ }
+
// Write unknown things
for (auto& entry : unknown) {
s << entry.first;
@@ -146,8 +301,9 @@ struct PSBTInput
break;
}
- // First byte of key is the type
- unsigned char type = key[0];
+ // Type is compact size uint at beginning of key
+ SpanReader skey(s.GetType(), s.GetVersion(), key);
+ uint64_t type = ReadCompactSize(skey);
// Do stuff based on type
switch(type) {
@@ -200,7 +356,9 @@ struct PSBTInput
} else if (key.size() != 1) {
throw std::ios_base::failure("Sighash type key is more than one byte type");
}
- UnserializeFromVector(s, sighash_type);
+ int sighash;
+ UnserializeFromVector(s, sighash);
+ sighash_type = sighash;
break;
case PSBT_IN_REDEEMSCRIPT:
{
@@ -247,6 +405,104 @@ struct PSBTInput
UnserializeFromVector(s, final_script_witness.stack);
break;
}
+ case PSBT_IN_RIPEMD160:
+ {
+ // Make sure that the key is the size of a ripemd160 hash + 1
+ if (key.size() != CRIPEMD160::OUTPUT_SIZE + 1) {
+ throw std::ios_base::failure("Size of key was not the expected size for the type ripemd160 preimage");
+ }
+ // Read in the hash from key
+ std::vector<unsigned char> hash_vec(key.begin() + 1, key.end());
+ uint160 hash(hash_vec);
+ if (ripemd160_preimages.count(hash) > 0) {
+ throw std::ios_base::failure("Duplicate Key, input ripemd160 preimage already provided");
+ }
+
+ // Read in the preimage from value
+ std::vector<unsigned char> preimage;
+ s >> preimage;
+
+ // Add to preimages list
+ ripemd160_preimages.emplace(hash, std::move(preimage));
+ break;
+ }
+ case PSBT_IN_SHA256:
+ {
+ // Make sure that the key is the size of a sha256 hash + 1
+ if (key.size() != CSHA256::OUTPUT_SIZE + 1) {
+ throw std::ios_base::failure("Size of key was not the expected size for the type sha256 preimage");
+ }
+ // Read in the hash from key
+ std::vector<unsigned char> hash_vec(key.begin() + 1, key.end());
+ uint256 hash(hash_vec);
+ if (sha256_preimages.count(hash) > 0) {
+ throw std::ios_base::failure("Duplicate Key, input sha256 preimage already provided");
+ }
+
+ // Read in the preimage from value
+ std::vector<unsigned char> preimage;
+ s >> preimage;
+
+ // Add to preimages list
+ sha256_preimages.emplace(hash, std::move(preimage));
+ break;
+ }
+ case PSBT_IN_HASH160:
+ {
+ // Make sure that the key is the size of a hash160 hash + 1
+ if (key.size() != CHash160::OUTPUT_SIZE + 1) {
+ throw std::ios_base::failure("Size of key was not the expected size for the type hash160 preimage");
+ }
+ // Read in the hash from key
+ std::vector<unsigned char> hash_vec(key.begin() + 1, key.end());
+ uint160 hash(hash_vec);
+ if (hash160_preimages.count(hash) > 0) {
+ throw std::ios_base::failure("Duplicate Key, input hash160 preimage already provided");
+ }
+
+ // Read in the preimage from value
+ std::vector<unsigned char> preimage;
+ s >> preimage;
+
+ // Add to preimages list
+ hash160_preimages.emplace(hash, std::move(preimage));
+ break;
+ }
+ case PSBT_IN_HASH256:
+ {
+ // Make sure that the key is the size of a hash256 hash + 1
+ if (key.size() != CHash256::OUTPUT_SIZE + 1) {
+ throw std::ios_base::failure("Size of key was not the expected size for the type hash256 preimage");
+ }
+ // Read in the hash from key
+ std::vector<unsigned char> hash_vec(key.begin() + 1, key.end());
+ uint256 hash(hash_vec);
+ if (hash256_preimages.count(hash) > 0) {
+ throw std::ios_base::failure("Duplicate Key, input hash256 preimage already provided");
+ }
+
+ // Read in the preimage from value
+ std::vector<unsigned char> preimage;
+ s >> preimage;
+
+ // Add to preimages list
+ hash256_preimages.emplace(hash, std::move(preimage));
+ break;
+ }
+ case PSBT_IN_PROPRIETARY:
+ {
+ PSBTProprietary this_prop;
+ skey >> this_prop.identifier;
+ this_prop.subtype = ReadCompactSize(skey);
+ this_prop.key = key;
+
+ if (m_proprietary.count(this_prop) > 0) {
+ throw std::ios_base::failure("Duplicate Key, proprietary key already found");
+ }
+ s >> this_prop.value;
+ m_proprietary.insert(this_prop);
+ break;
+ }
// Unknown stuff
default:
if (unknown.count(key) > 0) {
@@ -278,6 +534,7 @@ struct PSBTOutput
CScript witness_script;
std::map<CPubKey, KeyOriginInfo> hd_keypaths;
std::map<std::vector<unsigned char>, std::vector<unsigned char>> unknown;
+ std::set<PSBTProprietary> m_proprietary;
bool IsNull() const;
void FillSignatureData(SignatureData& sigdata) const;
@@ -289,18 +546,24 @@ struct PSBTOutput
inline void Serialize(Stream& s) const {
// Write the redeem script
if (!redeem_script.empty()) {
- SerializeToVector(s, PSBT_OUT_REDEEMSCRIPT);
+ SerializeToVector(s, CompactSizeWriter(PSBT_OUT_REDEEMSCRIPT));
s << redeem_script;
}
// Write the witness script
if (!witness_script.empty()) {
- SerializeToVector(s, PSBT_OUT_WITNESSSCRIPT);
+ SerializeToVector(s, CompactSizeWriter(PSBT_OUT_WITNESSSCRIPT));
s << witness_script;
}
// Write any hd keypaths
- SerializeHDKeypaths(s, hd_keypaths, PSBT_OUT_BIP32_DERIVATION);
+ SerializeHDKeypaths(s, hd_keypaths, CompactSizeWriter(PSBT_OUT_BIP32_DERIVATION));
+
+ // Write proprietary things
+ for (const auto& entry : m_proprietary) {
+ s << entry.key;
+ s << entry.value;
+ }
// Write unknown things
for (auto& entry : unknown) {
@@ -331,8 +594,9 @@ struct PSBTOutput
break;
}
- // First byte of key is the type
- unsigned char type = key[0];
+ // Type is compact size uint at beginning of key
+ SpanReader skey(s.GetType(), s.GetVersion(), key);
+ uint64_t type = ReadCompactSize(skey);
// Do stuff based on type
switch(type) {
@@ -361,6 +625,20 @@ struct PSBTOutput
DeserializeHDKeypaths(s, key, hd_keypaths);
break;
}
+ case PSBT_OUT_PROPRIETARY:
+ {
+ PSBTProprietary this_prop;
+ skey >> this_prop.identifier;
+ this_prop.subtype = ReadCompactSize(skey);
+ this_prop.key = key;
+
+ if (m_proprietary.count(this_prop) > 0) {
+ throw std::ios_base::failure("Duplicate Key, proprietary key already found");
+ }
+ s >> this_prop.value;
+ m_proprietary.insert(this_prop);
+ break;
+ }
// Unknown stuff
default: {
if (unknown.count(key) > 0) {
@@ -389,12 +667,18 @@ struct PSBTOutput
/** A version of CTransaction with the PSBT format*/
struct PartiallySignedTransaction
{
- Optional<CMutableTransaction> tx;
+ std::optional<CMutableTransaction> tx;
+ // We use a vector of CExtPubKey in the event that there happens to be the same KeyOriginInfos for different CExtPubKeys
+ // Note that this map swaps the key and values from the serialization
+ std::map<KeyOriginInfo, std::set<CExtPubKey>> m_xpubs;
std::vector<PSBTInput> inputs;
std::vector<PSBTOutput> outputs;
std::map<std::vector<unsigned char>, std::vector<unsigned char>> unknown;
+ std::optional<uint32_t> m_version;
+ std::set<PSBTProprietary> m_proprietary;
bool IsNull() const;
+ uint32_t GetVersion() const;
/** Merge psbt into this. The two psbts must have the same underlying CTransaction (i.e. the
* same actual Bitcoin transaction.) Returns true if the merge succeeded, false otherwise. */
@@ -419,12 +703,36 @@ struct PartiallySignedTransaction
s << PSBT_MAGIC_BYTES;
// unsigned tx flag
- SerializeToVector(s, PSBT_GLOBAL_UNSIGNED_TX);
+ SerializeToVector(s, CompactSizeWriter(PSBT_GLOBAL_UNSIGNED_TX));
// Write serialized tx to a stream
OverrideStream<Stream> os(&s, s.GetType(), s.GetVersion() | SERIALIZE_TRANSACTION_NO_WITNESS);
SerializeToVector(os, *tx);
+ // Write xpubs
+ for (const auto& xpub_pair : m_xpubs) {
+ for (const auto& xpub : xpub_pair.second) {
+ unsigned char ser_xpub[BIP32_EXTKEY_WITH_VERSION_SIZE];
+ xpub.EncodeWithVersion(ser_xpub);
+ // Note that the serialization swaps the key and value
+ // The xpub is the key (for uniqueness) while the path is the value
+ SerializeToVector(s, PSBT_GLOBAL_XPUB, ser_xpub);
+ SerializeHDKeypath(s, xpub_pair.first);
+ }
+ }
+
+ // PSBT version
+ if (GetVersion() > 0) {
+ SerializeToVector(s, CompactSizeWriter(PSBT_GLOBAL_VERSION));
+ SerializeToVector(s, *m_version);
+ }
+
+ // Write proprietary things
+ for (const auto& entry : m_proprietary) {
+ s << entry.key;
+ s << entry.value;
+ }
+
// Write the unknown things
for (auto& entry : unknown) {
s << entry.first;
@@ -457,6 +765,9 @@ struct PartiallySignedTransaction
// Used for duplicate key detection
std::set<std::vector<unsigned char>> key_lookup;
+ // Track the global xpubs we have already seen. Just for sanity checking
+ std::set<CExtPubKey> global_xpubs;
+
// Read global data
bool found_sep = false;
while(!s.empty()) {
@@ -471,8 +782,9 @@ struct PartiallySignedTransaction
break;
}
- // First byte of key is the type
- unsigned char type = key[0];
+ // Type is compact size uint at beginning of key
+ SpanReader skey(s.GetType(), s.GetVersion(), key);
+ uint64_t type = ReadCompactSize(skey);
// Do stuff based on type
switch(type) {
@@ -496,6 +808,65 @@ struct PartiallySignedTransaction
}
break;
}
+ case PSBT_GLOBAL_XPUB:
+ {
+ if (key.size() != BIP32_EXTKEY_WITH_VERSION_SIZE + 1) {
+ throw std::ios_base::failure("Size of key was not the expected size for the type global xpub");
+ }
+ // Read in the xpub from key
+ CExtPubKey xpub;
+ xpub.DecodeWithVersion(&key.data()[1]);
+ if (!xpub.pubkey.IsFullyValid()) {
+ throw std::ios_base::failure("Invalid pubkey");
+ }
+ if (global_xpubs.count(xpub) > 0) {
+ throw std::ios_base::failure("Duplicate key, global xpub already provided");
+ }
+ global_xpubs.insert(xpub);
+ // Read in the keypath from stream
+ KeyOriginInfo keypath;
+ DeserializeHDKeypath(s, keypath);
+
+ // Note that we store these swapped to make searches faster.
+ // Serialization uses xpub -> keypath to enqure key uniqueness
+ if (m_xpubs.count(keypath) == 0) {
+ // Make a new set to put the xpub in
+ m_xpubs[keypath] = {xpub};
+ } else {
+ // Insert xpub into existing set
+ m_xpubs[keypath].insert(xpub);
+ }
+ break;
+ }
+ case PSBT_GLOBAL_VERSION:
+ {
+ if (m_version) {
+ throw std::ios_base::failure("Duplicate Key, version already provided");
+ } else if (key.size() != 1) {
+ throw std::ios_base::failure("Global version key is more than one byte type");
+ }
+ uint32_t v;
+ UnserializeFromVector(s, v);
+ m_version = v;
+ if (*m_version > PSBT_HIGHEST_VERSION) {
+ throw std::ios_base::failure("Unsupported version number");
+ }
+ break;
+ }
+ case PSBT_GLOBAL_PROPRIETARY:
+ {
+ PSBTProprietary this_prop;
+ skey >> this_prop.identifier;
+ this_prop.subtype = ReadCompactSize(skey);
+ this_prop.key = key;
+
+ if (m_proprietary.count(this_prop) > 0) {
+ throw std::ios_base::failure("Duplicate Key, proprietary key already found");
+ }
+ s >> this_prop.value;
+ m_proprietary.insert(this_prop);
+ break;
+ }
// Unknown stuff
default: {
if (unknown.count(key) > 0) {
@@ -566,11 +937,18 @@ enum class PSBTRole {
std::string PSBTRoleName(PSBTRole role);
+/** Compute a PrecomputedTransactionData object from a psbt. */
+PrecomputedTransactionData PrecomputePSBTData(const PartiallySignedTransaction& psbt);
+
/** Checks whether a PSBTInput is already signed. */
bool PSBTInputSigned(const PSBTInput& input);
-/** Signs a PSBTInput, verifying that all provided data matches what is being signed. */
-bool SignPSBTInput(const SigningProvider& provider, PartiallySignedTransaction& psbt, int index, int sighash = SIGHASH_ALL, SignatureData* out_sigdata = nullptr, bool use_dummy = false);
+/** Signs a PSBTInput, verifying that all provided data matches what is being signed.
+ *
+ * txdata should be the output of PrecomputePSBTData (which can be shared across
+ * multiple SignPSBTInput calls). If it is nullptr, a dummy signature will be created.
+ **/
+bool SignPSBTInput(const SigningProvider& provider, PartiallySignedTransaction& psbt, int index, const PrecomputedTransactionData* txdata, int sighash = SIGHASH_ALL, SignatureData* out_sigdata = nullptr, bool finalize = true);
/** Counts the unsigned inputs of a PSBT. */
size_t CountPSBTUnsignedInputs(const PartiallySignedTransaction& psbt);
diff --git a/src/pubkey.cpp b/src/pubkey.cpp
index fc1624af25..324f681a0a 100644
--- a/src/pubkey.cpp
+++ b/src/pubkey.cpp
@@ -1,13 +1,20 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Copyright (c) 2017 The Zcash developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <pubkey.h>
+#include <hash.h>
#include <secp256k1.h>
+#include <secp256k1_extrakeys.h>
#include <secp256k1_recovery.h>
#include <secp256k1_schnorrsig.h>
+#include <span.h>
+#include <uint256.h>
+
+#include <algorithm>
+#include <cassert>
namespace
{
@@ -173,21 +180,76 @@ XOnlyPubKey::XOnlyPubKey(Span<const unsigned char> bytes)
std::copy(bytes.begin(), bytes.end(), m_keydata.begin());
}
+std::vector<CKeyID> XOnlyPubKey::GetKeyIDs() const
+{
+ std::vector<CKeyID> out;
+ // For now, use the old full pubkey-based key derivation logic. As it is indexed by
+ // Hash160(full pubkey), we need to return both a version prefixed with 0x02, and one
+ // with 0x03.
+ unsigned char b[33] = {0x02};
+ std::copy(m_keydata.begin(), m_keydata.end(), b + 1);
+ CPubKey fullpubkey;
+ fullpubkey.Set(b, b + 33);
+ out.push_back(fullpubkey.GetID());
+ b[0] = 0x03;
+ fullpubkey.Set(b, b + 33);
+ out.push_back(fullpubkey.GetID());
+ return out;
+}
+
+bool XOnlyPubKey::IsFullyValid() const
+{
+ secp256k1_xonly_pubkey pubkey;
+ return secp256k1_xonly_pubkey_parse(secp256k1_context_verify, &pubkey, m_keydata.data());
+}
+
bool XOnlyPubKey::VerifySchnorr(const uint256& msg, Span<const unsigned char> sigbytes) const
{
assert(sigbytes.size() == 64);
secp256k1_xonly_pubkey pubkey;
if (!secp256k1_xonly_pubkey_parse(secp256k1_context_verify, &pubkey, m_keydata.data())) return false;
- return secp256k1_schnorrsig_verify(secp256k1_context_verify, sigbytes.data(), msg.begin(), &pubkey);
+ return secp256k1_schnorrsig_verify(secp256k1_context_verify, sigbytes.data(), msg.begin(), 32, &pubkey);
+}
+
+static const CHashWriter HASHER_TAPTWEAK = TaggedHash("TapTweak");
+
+uint256 XOnlyPubKey::ComputeTapTweakHash(const uint256* merkle_root) const
+{
+ if (merkle_root == nullptr) {
+ // We have no scripts. The actual tweak does not matter, but follow BIP341 here to
+ // allow for reproducible tweaking.
+ return (CHashWriter(HASHER_TAPTWEAK) << m_keydata).GetSHA256();
+ } else {
+ return (CHashWriter(HASHER_TAPTWEAK) << m_keydata << *merkle_root).GetSHA256();
+ }
+}
+
+bool XOnlyPubKey::CheckTapTweak(const XOnlyPubKey& internal, const uint256& merkle_root, bool parity) const
+{
+ secp256k1_xonly_pubkey internal_key;
+ if (!secp256k1_xonly_pubkey_parse(secp256k1_context_verify, &internal_key, internal.data())) return false;
+ uint256 tweak = internal.ComputeTapTweakHash(&merkle_root);
+ return secp256k1_xonly_pubkey_tweak_add_check(secp256k1_context_verify, m_keydata.begin(), parity, &internal_key, tweak.begin());
}
-bool XOnlyPubKey::CheckPayToContract(const XOnlyPubKey& base, const uint256& hash, bool parity) const
+std::optional<std::pair<XOnlyPubKey, bool>> XOnlyPubKey::CreateTapTweak(const uint256* merkle_root) const
{
secp256k1_xonly_pubkey base_point;
- if (!secp256k1_xonly_pubkey_parse(secp256k1_context_verify, &base_point, base.data())) return false;
- return secp256k1_xonly_pubkey_tweak_add_check(secp256k1_context_verify, m_keydata.begin(), parity, &base_point, hash.begin());
+ if (!secp256k1_xonly_pubkey_parse(secp256k1_context_verify, &base_point, data())) return std::nullopt;
+ secp256k1_pubkey out;
+ uint256 tweak = ComputeTapTweakHash(merkle_root);
+ if (!secp256k1_xonly_pubkey_tweak_add(secp256k1_context_verify, &out, &base_point, tweak.data())) return std::nullopt;
+ int parity = -1;
+ std::pair<XOnlyPubKey, bool> ret;
+ secp256k1_xonly_pubkey out_xonly;
+ if (!secp256k1_xonly_pubkey_from_pubkey(secp256k1_context_verify, &out_xonly, &parity, &out)) return std::nullopt;
+ secp256k1_xonly_pubkey_serialize(secp256k1_context_verify, ret.first.begin(), &out_xonly);
+ assert(parity == 0 || parity == 1);
+ ret.second = parity;
+ return ret;
}
+
bool CPubKey::Verify(const uint256 &hash, const std::vector<unsigned char>& vchSig) const {
if (!IsValid())
return false;
@@ -275,8 +337,7 @@ bool CPubKey::Derive(CPubKey& pubkeyChild, ChainCode &ccChild, unsigned int nChi
void CExtPubKey::Encode(unsigned char code[BIP32_EXTKEY_SIZE]) const {
code[0] = nDepth;
memcpy(code+1, vchFingerprint, 4);
- code[5] = (nChild >> 24) & 0xFF; code[6] = (nChild >> 16) & 0xFF;
- code[7] = (nChild >> 8) & 0xFF; code[8] = (nChild >> 0) & 0xFF;
+ WriteBE32(code+5, nChild);
memcpy(code+9, chaincode.begin(), 32);
assert(pubkey.size() == CPubKey::COMPRESSED_SIZE);
memcpy(code+41, pubkey.begin(), CPubKey::COMPRESSED_SIZE);
@@ -285,15 +346,28 @@ void CExtPubKey::Encode(unsigned char code[BIP32_EXTKEY_SIZE]) const {
void CExtPubKey::Decode(const unsigned char code[BIP32_EXTKEY_SIZE]) {
nDepth = code[0];
memcpy(vchFingerprint, code+1, 4);
- nChild = (code[5] << 24) | (code[6] << 16) | (code[7] << 8) | code[8];
+ nChild = ReadBE32(code+5);
memcpy(chaincode.begin(), code+9, 32);
pubkey.Set(code+41, code+BIP32_EXTKEY_SIZE);
+ if ((nDepth == 0 && (nChild != 0 || ReadLE32(vchFingerprint) != 0)) || !pubkey.IsFullyValid()) pubkey = CPubKey();
+}
+
+void CExtPubKey::EncodeWithVersion(unsigned char code[BIP32_EXTKEY_WITH_VERSION_SIZE]) const
+{
+ memcpy(code, version, 4);
+ Encode(&code[4]);
+}
+
+void CExtPubKey::DecodeWithVersion(const unsigned char code[BIP32_EXTKEY_WITH_VERSION_SIZE])
+{
+ memcpy(version, code, 4);
+ Decode(&code[4]);
}
bool CExtPubKey::Derive(CExtPubKey &out, unsigned int _nChild) const {
out.nDepth = nDepth + 1;
CKeyID id = pubkey.GetID();
- memcpy(&out.vchFingerprint[0], &id, 4);
+ memcpy(out.vchFingerprint, &id, 4);
out.nChild = _nChild;
return pubkey.Derive(out.pubkey, out.chaincode, _nChild, chaincode);
}
@@ -328,3 +402,7 @@ ECCVerifyHandle::~ECCVerifyHandle()
secp256k1_context_verify = nullptr;
}
}
+
+const secp256k1_context* GetVerifyContext() {
+ return secp256k1_context_verify;
+}
diff --git a/src/pubkey.h b/src/pubkey.h
index 12514fc3c9..dfe06f834c 100644
--- a/src/pubkey.h
+++ b/src/pubkey.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Copyright (c) 2017 The Zcash developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,10 +12,12 @@
#include <span.h>
#include <uint256.h>
-#include <stdexcept>
+#include <cstring>
+#include <optional>
#include <vector>
const unsigned int BIP32_EXTKEY_SIZE = 74;
+const unsigned int BIP32_EXTKEY_WITH_VERSION_SIZE = 78;
/** A reference to a CKey: the Hash160 of its serialized public key */
class CKeyID : public uint160
@@ -101,7 +103,7 @@ public:
}
//! Construct a public key from a byte vector.
- explicit CPubKey(const std::vector<unsigned char>& _vch)
+ explicit CPubKey(Span<const uint8_t> _vch)
{
Set(_vch.begin(), _vch.end());
}
@@ -128,6 +130,11 @@ public:
return a.vch[0] < b.vch[0] ||
(a.vch[0] == b.vch[0] && memcmp(a.vch, b.vch, a.size()) < 0);
}
+ friend bool operator>(const CPubKey& a, const CPubKey& b)
+ {
+ return a.vch[0] > b.vch[0] ||
+ (a.vch[0] == b.vch[0] && memcmp(a.vch, b.vch, a.size()) > 0);
+ }
//! Implement serialization, as if this was a byte vector.
template <typename Stream>
@@ -135,22 +142,20 @@ public:
{
unsigned int len = size();
::WriteCompactSize(s, len);
- s.write((char*)vch, len);
+ s.write(AsBytes(Span{vch, len}));
}
template <typename Stream>
void Unserialize(Stream& s)
{
- unsigned int len = ::ReadCompactSize(s);
+ const unsigned int len(::ReadCompactSize(s));
if (len <= SIZE) {
- s.read((char*)vch, len);
+ s.read(AsWritableBytes(Span{vch, len}));
if (len != size()) {
Invalidate();
}
} else {
// invalid pubkey, skip available data
- char dummy;
- while (len--)
- s.read(&dummy, 1);
+ s.ignore(len);
Invalidate();
}
}
@@ -158,13 +163,13 @@ public:
//! Get the KeyID of this public key (hash of its serialization)
CKeyID GetID() const
{
- return CKeyID(Hash160(MakeSpan(vch).first(size())));
+ return CKeyID(Hash160(Span{vch}.first(size())));
}
//! Get the 256-bit hash of this public key.
uint256 GetHash() const
{
- return Hash(MakeSpan(vch).first(size()));
+ return Hash(Span{vch}.first(size()));
}
/*
@@ -222,22 +227,69 @@ private:
uint256 m_keydata;
public:
+ /** Construct an empty x-only pubkey. */
+ XOnlyPubKey() = default;
+
+ XOnlyPubKey(const XOnlyPubKey&) = default;
+ XOnlyPubKey& operator=(const XOnlyPubKey&) = default;
+
+ /** Determine if this pubkey is fully valid. This is true for approximately 50% of all
+ * possible 32-byte arrays. If false, VerifySchnorr, CheckTapTweak and CreateTapTweak
+ * will always fail. */
+ bool IsFullyValid() const;
+
+ /** Test whether this is the 0 key (the result of default construction). This implies
+ * !IsFullyValid(). */
+ bool IsNull() const { return m_keydata.IsNull(); }
+
/** Construct an x-only pubkey from exactly 32 bytes. */
explicit XOnlyPubKey(Span<const unsigned char> bytes);
+ /** Construct an x-only pubkey from a normal pubkey. */
+ explicit XOnlyPubKey(const CPubKey& pubkey) : XOnlyPubKey(Span{pubkey}.subspan(1, 32)) {}
+
/** Verify a Schnorr signature against this public key.
*
* sigbytes must be exactly 64 bytes.
*/
bool VerifySchnorr(const uint256& msg, Span<const unsigned char> sigbytes) const;
- bool CheckPayToContract(const XOnlyPubKey& base, const uint256& hash, bool parity) const;
+
+ /** Compute the Taproot tweak as specified in BIP341, with *this as internal
+ * key:
+ * - if merkle_root == nullptr: H_TapTweak(xonly_pubkey)
+ * - otherwise: H_TapTweak(xonly_pubkey || *merkle_root)
+ *
+ * Note that the behavior of this function with merkle_root != nullptr is
+ * consensus critical.
+ */
+ uint256 ComputeTapTweakHash(const uint256* merkle_root) const;
+
+ /** Verify that this is a Taproot tweaked output point, against a specified internal key,
+ * Merkle root, and parity. */
+ bool CheckTapTweak(const XOnlyPubKey& internal, const uint256& merkle_root, bool parity) const;
+
+ /** Construct a Taproot tweaked output point with this point as internal key. */
+ std::optional<std::pair<XOnlyPubKey, bool>> CreateTapTweak(const uint256* merkle_root) const;
+
+ /** Returns a list of CKeyIDs for the CPubKeys that could have been used to create this XOnlyPubKey.
+ * This is needed for key lookups since keys are indexed by CKeyID.
+ */
+ std::vector<CKeyID> GetKeyIDs() const;
const unsigned char& operator[](int pos) const { return *(m_keydata.begin() + pos); }
const unsigned char* data() const { return m_keydata.begin(); }
- size_t size() const { return m_keydata.size(); }
+ static constexpr size_t size() { return decltype(m_keydata)::size(); }
+ const unsigned char* begin() const { return m_keydata.begin(); }
+ const unsigned char* end() const { return m_keydata.end(); }
+ unsigned char* begin() { return m_keydata.begin(); }
+ unsigned char* end() { return m_keydata.end(); }
+ bool operator==(const XOnlyPubKey& other) const { return m_keydata == other.m_keydata; }
+ bool operator!=(const XOnlyPubKey& other) const { return m_keydata != other.m_keydata; }
+ bool operator<(const XOnlyPubKey& other) const { return m_keydata < other.m_keydata; }
};
struct CExtPubKey {
+ unsigned char version[4];
unsigned char nDepth;
unsigned char vchFingerprint[4];
unsigned int nChild;
@@ -247,7 +299,7 @@ struct CExtPubKey {
friend bool operator==(const CExtPubKey &a, const CExtPubKey &b)
{
return a.nDepth == b.nDepth &&
- memcmp(&a.vchFingerprint[0], &b.vchFingerprint[0], sizeof(vchFingerprint)) == 0 &&
+ memcmp(a.vchFingerprint, b.vchFingerprint, sizeof(vchFingerprint)) == 0 &&
a.nChild == b.nChild &&
a.chaincode == b.chaincode &&
a.pubkey == b.pubkey;
@@ -258,8 +310,20 @@ struct CExtPubKey {
return !(a == b);
}
+ friend bool operator<(const CExtPubKey &a, const CExtPubKey &b)
+ {
+ if (a.pubkey < b.pubkey) {
+ return true;
+ } else if (a.pubkey > b.pubkey) {
+ return false;
+ }
+ return a.chaincode < b.chaincode;
+ }
+
void Encode(unsigned char code[BIP32_EXTKEY_SIZE]) const;
void Decode(const unsigned char code[BIP32_EXTKEY_SIZE]);
+ void EncodeWithVersion(unsigned char code[BIP32_EXTKEY_WITH_VERSION_SIZE]) const;
+ void DecodeWithVersion(const unsigned char code[BIP32_EXTKEY_WITH_VERSION_SIZE]);
bool Derive(CExtPubKey& out, unsigned int nChild) const;
};
@@ -274,4 +338,10 @@ public:
~ECCVerifyHandle();
};
+typedef struct secp256k1_context_struct secp256k1_context;
+
+/** Access to the internal secp256k1 context used for verification. Only intended to be used
+ * by key.cpp. */
+const secp256k1_context* GetVerifyContext();
+
#endif // BITCOIN_PUBKEY_H
diff --git a/src/qt/Makefile b/src/qt/Makefile
index b9dcf0c599..3bd6199059 100644
--- a/src/qt/Makefile
+++ b/src/qt/Makefile
@@ -7,3 +7,5 @@ check: FORCE
$(MAKE) -C .. test_bitcoin_qt_check
bitcoin-qt bitcoin-qt.exe: FORCE
$(MAKE) -C .. bitcoin_qt
+apk: FORCE
+ $(MAKE) -C .. bitcoin_qt_apk
diff --git a/src/qt/addressbookpage.cpp b/src/qt/addressbookpage.cpp
index ab6168a541..d59a4345f3 100644
--- a/src/qt/addressbookpage.cpp
+++ b/src/qt/addressbookpage.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -112,29 +112,17 @@ AddressBookPage::AddressBookPage(const PlatformStyle *platformStyle, Mode _mode,
break;
}
- // Context menu actions
- QAction *copyAddressAction = new QAction(tr("&Copy Address"), this);
- QAction *copyLabelAction = new QAction(tr("Copy &Label"), this);
- QAction *editAction = new QAction(tr("&Edit"), this);
- deleteAction = new QAction(ui->deleteAddress->text(), this);
-
// Build context menu
contextMenu = new QMenu(this);
- contextMenu->addAction(copyAddressAction);
- contextMenu->addAction(copyLabelAction);
- contextMenu->addAction(editAction);
- if(tab == SendingTab)
- contextMenu->addAction(deleteAction);
- contextMenu->addSeparator();
-
- // Connect signals for context menu actions
- connect(copyAddressAction, &QAction::triggered, this, &AddressBookPage::on_copyAddress_clicked);
- connect(copyLabelAction, &QAction::triggered, this, &AddressBookPage::onCopyLabelAction);
- connect(editAction, &QAction::triggered, this, &AddressBookPage::onEditAction);
- connect(deleteAction, &QAction::triggered, this, &AddressBookPage::on_deleteAddress_clicked);
+ contextMenu->addAction(tr("&Copy Address"), this, &AddressBookPage::on_copyAddress_clicked);
+ contextMenu->addAction(tr("Copy &Label"), this, &AddressBookPage::onCopyLabelAction);
+ contextMenu->addAction(tr("&Edit"), this, &AddressBookPage::onEditAction);
- connect(ui->tableView, &QWidget::customContextMenuRequested, this, &AddressBookPage::contextualMenu);
+ if (tab == SendingTab) {
+ contextMenu->addAction(tr("&Delete"), this, &AddressBookPage::on_deleteAddress_clicked);
+ }
+ connect(ui->tableView, &QWidget::customContextMenuRequested, this, &AddressBookPage::contextualMenu);
connect(ui->closeButton, &QPushButton::clicked, this, &QDialog::accept);
GUIUtil::handleCloseWindowShortcut(this);
@@ -194,14 +182,14 @@ void AddressBookPage::onEditAction()
if(indexes.isEmpty())
return;
- EditAddressDialog dlg(
+ auto dlg = new EditAddressDialog(
tab == SendingTab ?
EditAddressDialog::EditSendingAddress :
EditAddressDialog::EditReceivingAddress, this);
- dlg.setModel(model);
+ dlg->setModel(model);
QModelIndex origIndex = proxyModel->mapToSource(indexes.at(0));
- dlg.loadRow(origIndex.row());
- dlg.exec();
+ dlg->loadRow(origIndex.row());
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
void AddressBookPage::on_newAddress_clicked()
@@ -249,13 +237,11 @@ void AddressBookPage::selectionChanged()
// In sending tab, allow deletion of selection
ui->deleteAddress->setEnabled(true);
ui->deleteAddress->setVisible(true);
- deleteAction->setEnabled(true);
break;
case ReceivingTab:
// Deleting receiving addresses, however, is not allowed
ui->deleteAddress->setEnabled(false);
ui->deleteAddress->setVisible(false);
- deleteAction->setEnabled(false);
break;
}
ui->copyAddress->setEnabled(true);
@@ -295,7 +281,9 @@ void AddressBookPage::on_exportButton_clicked()
// CSV is currently the only supported format
QString filename = GUIUtil::getSaveFileName(this,
tr("Export Address List"), QString(),
- tr("Comma separated file (*.csv)"), nullptr);
+ /*: Expanded name of the CSV file format.
+ See: https://en.wikipedia.org/wiki/Comma-separated_values. */
+ tr("Comma separated file") + QLatin1String(" (*.csv)"), nullptr);
if (filename.isNull())
return;
@@ -309,6 +297,8 @@ void AddressBookPage::on_exportButton_clicked()
if(!writer.write()) {
QMessageBox::critical(this, tr("Exporting Failed"),
+ /*: An error message. %1 is a stand-in argument for the name
+ of the file we attempted to save to. */
tr("There was an error trying to save the address list to %1. Please try again.").arg(filename));
}
}
diff --git a/src/qt/addressbookpage.h b/src/qt/addressbookpage.h
index c6a364ccbd..144990f419 100644
--- a/src/qt/addressbookpage.h
+++ b/src/qt/addressbookpage.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -55,7 +55,6 @@ private:
QString returnValue;
AddressBookSortFilterProxyModel *proxyModel;
QMenu *contextMenu;
- QAction *deleteAction; // to be able to explicitly disable it
QString newAddressToSelect;
private Q_SLOTS:
diff --git a/src/qt/addresstablemodel.cpp b/src/qt/addresstablemodel.cpp
index bb444f22b3..dcab631d98 100644
--- a/src/qt/addresstablemodel.cpp
+++ b/src/qt/addresstablemodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -198,42 +198,38 @@ QVariant AddressTableModel::data(const QModelIndex &index, int role) const
AddressTableEntry *rec = static_cast<AddressTableEntry*>(index.internalPointer());
- if(role == Qt::DisplayRole || role == Qt::EditRole)
- {
- switch(index.column())
- {
+ const auto column = static_cast<ColumnIndex>(index.column());
+ if (role == Qt::DisplayRole || role == Qt::EditRole) {
+ switch (column) {
case Label:
- if(rec->label.isEmpty() && role == Qt::DisplayRole)
- {
+ if (rec->label.isEmpty() && role == Qt::DisplayRole) {
return tr("(no label)");
- }
- else
- {
+ } else {
return rec->label;
}
case Address:
return rec->address;
- }
- }
- else if (role == Qt::FontRole)
- {
- QFont font;
- if(index.column() == Address)
- {
- font = GUIUtil::fixedPitchFont();
- }
- return font;
- }
- else if (role == TypeRole)
- {
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
+ } else if (role == Qt::FontRole) {
+ switch (column) {
+ case Label:
+ return QFont();
+ case Address:
+ return GUIUtil::fixedPitchFont();
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
+ } else if (role == TypeRole) {
switch(rec->type)
{
case AddressTableEntry::Sending:
return Send;
case AddressTableEntry::Receiving:
return Receive;
- default: break;
- }
+ case AddressTableEntry::Hidden:
+ return {};
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
}
return QVariant();
}
diff --git a/src/qt/android/.gitignore b/src/qt/android/.gitignore
new file mode 100644
index 0000000000..c090a2e98e
--- /dev/null
+++ b/src/qt/android/.gitignore
@@ -0,0 +1,7 @@
+/.gradle
+/build
+/gradle
+/gradlew*
+/libs
+/src/org/kde
+/src/org/qtproject
diff --git a/src/qt/android/AndroidManifest.xml b/src/qt/android/AndroidManifest.xml
new file mode 100644
index 0000000000..41615294e0
--- /dev/null
+++ b/src/qt/android/AndroidManifest.xml
@@ -0,0 +1,39 @@
+<?xml version='1.0' encoding='utf-8'?>
+<manifest package="org.bitcoincore.qt" xmlns:android="http://schemas.android.com/apk/res/android" android:versionName="1.0" android:versionCode="1" android:installLocation="auto">
+ <uses-sdk android:targetSdkVersion="24"/>
+
+ <uses-permission android:name="android.permission.INTERNET" />
+ <uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />
+ <uses-permission android:name="android.permission.ACCESS_NETWORK_STATE" />
+
+ <uses-feature android:glEsVersion="0x00020000" android:required="true" />
+
+ <supports-screens android:largeScreens="true" android:normalScreens="true" android:anyDensity="true" android:smallScreens="true"/>
+
+ <application android:hardwareAccelerated="true" android:name="org.qtproject.qt5.android.bindings.QtApplication" android:label="Bitcoin Core">
+ <activity android:configChanges="orientation|uiMode|screenLayout|screenSize|smallestScreenSize|layoutDirection|locale|fontScale|keyboard|keyboardHidden|navigation|mcc|mnc|density"
+ android:name="org.bitcoincore.qt.BitcoinQtActivity"
+ android:label="Bitcoin Core"
+ android:icon="@drawable/bitcoin"
+ android:screenOrientation="unspecified"
+ android:launchMode="singleTop">
+ <intent-filter>
+ <action android:name="android.intent.action.MAIN"/>
+ <category android:name="android.intent.category.LAUNCHER"/>
+ </intent-filter>
+
+ <meta-data android:name="android.app.arguments" android:value="-testnet"/>
+ <meta-data android:name="android.app.lib_name" android:value="bitcoin-qt"/>
+ <meta-data android:name="android.app.repository" android:value="default"/>
+ <meta-data android:name="android.app.bundle_local_qt_libs" android:value="1"/>
+ <meta-data android:name="android.app.use_local_qt_libs" android:value="1"/>
+ <meta-data android:name="android.app.libs_prefix" android:value="/data/local/tmp/qt/"/>
+ <meta-data android:name="android.app.system_libs_prefix" android:value="/system/lib/"/>
+ <meta-data android:name="android.app.background_running" android:value="true"/>
+ <meta-data android:name="android.app.auto_screen_scale_factor" android:value="true"/>
+ <meta-data android:name="android.app.extract_android_style" android:value="default"/>
+ <meta-data android:name="android.app.load_local_libs_resource_id" android:resource="@array/load_local_libs"/>
+ </activity>
+
+ </application>
+</manifest>
diff --git a/src/qt/android/build.gradle b/src/qt/android/build.gradle
new file mode 100644
index 0000000000..4c36e79db8
--- /dev/null
+++ b/src/qt/android/build.gradle
@@ -0,0 +1,52 @@
+buildscript {
+ repositories {
+ google()
+ jcenter()
+ }
+
+ dependencies {
+ classpath 'com.android.tools.build:gradle:3.1.0'
+ }
+}
+
+repositories {
+ google()
+ jcenter()
+}
+
+apply plugin: 'com.android.application'
+
+dependencies {
+ implementation fileTree(dir: 'libs', include: ['*.jar'])
+}
+
+android {
+ compileSdkVersion androidCompileSdkVersion.toInteger()
+
+ buildToolsVersion androidBuildToolsVersion
+
+ sourceSets {
+ main {
+ manifest.srcFile 'AndroidManifest.xml'
+ java.srcDirs = [qt5AndroidDir + '/src', 'src', 'java']
+ aidl.srcDirs = [qt5AndroidDir + '/src', 'src', 'aidl']
+ res.srcDirs = [qt5AndroidDir + '/res', 'res']
+ resources.srcDirs = ['src']
+ renderscript.srcDirs = ['src']
+ assets.srcDirs = ['assets']
+ jniLibs.srcDirs = ['libs']
+ }
+ }
+
+ lintOptions {
+ abortOnError false
+ }
+
+ dexOptions {
+ javaMaxHeapSize '4g'
+ }
+
+ defaultConfig {
+ minSdkVersion 24
+ }
+}
diff --git a/src/qt/android/gradle.properties b/src/qt/android/gradle.properties
new file mode 100644
index 0000000000..838870f62d
--- /dev/null
+++ b/src/qt/android/gradle.properties
@@ -0,0 +1,4 @@
+androidBuildToolsVersion=28.0.3
+androidCompileSdkVersion=28
+qt5AndroidDir=new File(".").absolutePath
+org.gradle.jvmargs=-Xmx4608M
diff --git a/src/qt/android/res/drawable-hdpi/bitcoin.png b/src/qt/android/res/drawable-hdpi/bitcoin.png
new file mode 100644
index 0000000000..31a556a35f
--- /dev/null
+++ b/src/qt/android/res/drawable-hdpi/bitcoin.png
Binary files differ
diff --git a/src/qt/android/res/drawable-ldpi/bitcoin.png b/src/qt/android/res/drawable-ldpi/bitcoin.png
new file mode 100644
index 0000000000..76d80d4196
--- /dev/null
+++ b/src/qt/android/res/drawable-ldpi/bitcoin.png
Binary files differ
diff --git a/src/qt/android/res/drawable-mdpi/bitcoin.png b/src/qt/android/res/drawable-mdpi/bitcoin.png
new file mode 100644
index 0000000000..c2aeab851a
--- /dev/null
+++ b/src/qt/android/res/drawable-mdpi/bitcoin.png
Binary files differ
diff --git a/src/qt/android/res/drawable-xhdpi/bitcoin.png b/src/qt/android/res/drawable-xhdpi/bitcoin.png
new file mode 100644
index 0000000000..2bd5e3defc
--- /dev/null
+++ b/src/qt/android/res/drawable-xhdpi/bitcoin.png
Binary files differ
diff --git a/src/qt/android/res/drawable-xxhdpi/bitcoin.png b/src/qt/android/res/drawable-xxhdpi/bitcoin.png
new file mode 100644
index 0000000000..d236cf2132
--- /dev/null
+++ b/src/qt/android/res/drawable-xxhdpi/bitcoin.png
Binary files differ
diff --git a/src/qt/android/res/drawable-xxxhdpi/bitcoin.png b/src/qt/android/res/drawable-xxxhdpi/bitcoin.png
new file mode 100644
index 0000000000..bb1dbc3554
--- /dev/null
+++ b/src/qt/android/res/drawable-xxxhdpi/bitcoin.png
Binary files differ
diff --git a/src/qt/android/res/values/libs.xml b/src/qt/android/res/values/libs.xml
new file mode 100644
index 0000000000..0f20df4eb0
--- /dev/null
+++ b/src/qt/android/res/values/libs.xml
@@ -0,0 +1,17 @@
+<?xml version="1.0" encoding="utf-8"?>
+<resources>
+ <array name="load_local_libs">
+ <item>
+ arm64-v8a;libbitcoin-qt_arm64-v8a.so
+ </item>
+ <item>
+ armeabi-v7a;libbitcoin-qt_armeabi-v7a.so
+ </item>
+ <item>
+ x86_64;libbitcoin-qt_x86_64.so
+ </item>
+ <item>
+ x86;libbitcoin-qt_x86.so
+ </item>
+ </array>
+</resources>
diff --git a/src/qt/android/src/org/bitcoincore/qt/BitcoinQtActivity.java b/src/qt/android/src/org/bitcoincore/qt/BitcoinQtActivity.java
new file mode 100644
index 0000000000..2cba489242
--- /dev/null
+++ b/src/qt/android/src/org/bitcoincore/qt/BitcoinQtActivity.java
@@ -0,0 +1,23 @@
+package org.bitcoincore.qt;
+
+import android.os.Bundle;
+import android.system.ErrnoException;
+import android.system.Os;
+
+import org.qtproject.qt5.android.bindings.QtActivity;
+
+import java.io.File;
+
+public class BitcoinQtActivity extends QtActivity
+{
+ @Override
+ public void onCreate(Bundle savedInstanceState)
+ {
+ final File bitcoinDir = new File(getFilesDir().getAbsolutePath() + "/.bitcoin");
+ if (!bitcoinDir.exists()) {
+ bitcoinDir.mkdir();
+ }
+
+ super.onCreate(savedInstanceState);
+ }
+}
diff --git a/src/qt/askpassphrasedialog.cpp b/src/qt/askpassphrasedialog.cpp
index 5b1330b81b..f16700bfd9 100644
--- a/src/qt/askpassphrasedialog.cpp
+++ b/src/qt/askpassphrasedialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/qt/bantablemodel.cpp b/src/qt/bantablemodel.cpp
index a01a7bc386..e004fba308 100644
--- a/src/qt/bantablemodel.cpp
+++ b/src/qt/bantablemodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -23,15 +23,13 @@ bool BannedNodeLessThan::operator()(const CCombinedBan& left, const CCombinedBan
if (order == Qt::DescendingOrder)
std::swap(pLeft, pRight);
- switch(column)
- {
+ switch (static_cast<BanTableModel::ColumnIndex>(column)) {
case BanTableModel::Address:
return pLeft->subnet.ToString().compare(pRight->subnet.ToString()) < 0;
case BanTableModel::Bantime:
return pLeft->banEntry.nBanUntil < pRight->banEntry.nBanUntil;
- }
-
- return false;
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
}
// private implementation
@@ -119,16 +117,17 @@ QVariant BanTableModel::data(const QModelIndex &index, int role) const
CCombinedBan *rec = static_cast<CCombinedBan*>(index.internalPointer());
+ const auto column = static_cast<ColumnIndex>(index.column());
if (role == Qt::DisplayRole) {
- switch(index.column())
- {
+ switch (column) {
case Address:
return QString::fromStdString(rec->subnet.ToString());
case Bantime:
QDateTime date = QDateTime::fromMSecsSinceEpoch(0);
date = date.addSecs(rec->banEntry.nBanUntil);
return QLocale::system().toString(date, QLocale::LongFormat);
- }
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
}
return QVariant();
diff --git a/src/qt/bantablemodel.h b/src/qt/bantablemodel.h
index 57f559fc14..0a30905172 100644
--- a/src/qt/bantablemodel.h
+++ b/src/qt/bantablemodel.h
@@ -1,10 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_BANTABLEMODEL_H
#define BITCOIN_QT_BANTABLEMODEL_H
+#include <addrdb.h>
#include <net.h>
#include <memory>
diff --git a/src/qt/bitcoin.cpp b/src/qt/bitcoin.cpp
index ef2f56c2c0..eb31287c56 100644
--- a/src/qt/bitcoin.cpp
+++ b/src/qt/bitcoin.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,12 +7,19 @@
#endif
#include <qt/bitcoin.h>
-#include <qt/bitcoingui.h>
#include <chainparams.h>
+#include <init.h>
+#include <interfaces/handler.h>
+#include <interfaces/init.h>
+#include <interfaces/node.h>
+#include <node/ui_interface.h>
+#include <noui.h>
+#include <qt/bitcoingui.h>
#include <qt/clientmodel.h>
#include <qt/guiconstants.h>
#include <qt/guiutil.h>
+#include <qt/initexecutor.h>
#include <qt/intro.h>
#include <qt/networkstyle.h>
#include <qt/optionsmodel.h>
@@ -20,6 +27,12 @@
#include <qt/splashscreen.h>
#include <qt/utilitydialog.h>
#include <qt/winshutdownmonitor.h>
+#include <uint256.h>
+#include <util/string.h>
+#include <util/system.h>
+#include <util/threadnames.h>
+#include <util/translation.h>
+#include <validation.h>
#ifdef ENABLE_WALLET
#include <qt/paymentserver.h>
@@ -27,24 +40,13 @@
#include <qt/walletmodel.h>
#endif // ENABLE_WALLET
-#include <init.h>
-#include <interfaces/handler.h>
-#include <interfaces/node.h>
-#include <node/context.h>
-#include <node/ui_interface.h>
-#include <noui.h>
-#include <uint256.h>
-#include <util/system.h>
-#include <util/threadnames.h>
-#include <util/translation.h>
-#include <validation.h>
-
#include <boost/signals2/connection.hpp>
+#include <chrono>
#include <memory>
#include <QApplication>
#include <QDebug>
-#include <QFontDatabase>
+#include <QLatin1String>
#include <QLibraryInfo>
#include <QLocale>
#include <QMessageBox>
@@ -52,7 +54,7 @@
#include <QThread>
#include <QTimer>
#include <QTranslator>
-#include <QtGlobal>
+#include <QWindow>
#if defined(QT_STATICPLUGIN)
#include <QtPlugin>
@@ -60,8 +62,12 @@
Q_IMPORT_PLUGIN(QXcbIntegrationPlugin);
#elif defined(QT_QPA_PLATFORM_WINDOWS)
Q_IMPORT_PLUGIN(QWindowsIntegrationPlugin);
+Q_IMPORT_PLUGIN(QWindowsVistaStylePlugin);
#elif defined(QT_QPA_PLATFORM_COCOA)
Q_IMPORT_PLUGIN(QCocoaIntegrationPlugin);
+Q_IMPORT_PLUGIN(QMacStylePlugin);
+#elif defined(QT_QPA_PLATFORM_ANDROID)
+Q_IMPORT_PLUGIN(QAndroidPlatformIntegrationPlugin)
#endif
#endif
@@ -71,6 +77,8 @@ Q_DECLARE_METATYPE(CAmount)
Q_DECLARE_METATYPE(SynchronizationState)
Q_DECLARE_METATYPE(uint256)
+using node::NodeContext;
+
static void RegisterMetaTypes()
{
// Register meta types used for QMetaObject::invokeMethod and Qt::QueuedConnection
@@ -142,56 +150,63 @@ static void initTranslations(QTranslator &qtTranslatorBase, QTranslator &qtTrans
QApplication::installTranslator(&translator);
}
-/* qDebug() message handler --> debug.log */
-void DebugMessageHandler(QtMsgType type, const QMessageLogContext& context, const QString &msg)
+static bool InitSettings()
{
- Q_UNUSED(context);
- if (type == QtDebugMsg) {
- LogPrint(BCLog::QT, "GUI: %s\n", msg.toStdString());
- } else {
- LogPrintf("GUI: %s\n", msg.toStdString());
+ if (!gArgs.GetSettingsPath()) {
+ return true; // Do nothing if settings file disabled.
}
-}
-BitcoinCore::BitcoinCore(interfaces::Node& node) :
- QObject(), m_node(node)
-{
-}
-
-void BitcoinCore::handleRunawayException(const std::exception *e)
-{
- PrintExceptionContinue(e, "Runaway exception");
- Q_EMIT runawayException(QString::fromStdString(m_node.getWarnings().translated));
-}
+ std::vector<std::string> errors;
+ if (!gArgs.ReadSettingsFile(&errors)) {
+ std::string error = QT_TRANSLATE_NOOP("bitcoin-core", "Settings file could not be read");
+ std::string error_translated = QCoreApplication::translate("bitcoin-core", error.c_str()).toStdString();
+ InitError(Untranslated(strprintf("%s:\n%s\n", error, MakeUnorderedList(errors))));
+
+ QMessageBox messagebox(QMessageBox::Critical, PACKAGE_NAME, QString::fromStdString(strprintf("%s.", error_translated)), QMessageBox::Reset | QMessageBox::Abort);
+ /*: Explanatory text shown on startup when the settings file cannot be read.
+ Prompts user to make a choice between resetting or aborting. */
+ messagebox.setInformativeText(QObject::tr("Do you want to reset settings to default values, or to abort without making changes?"));
+ messagebox.setDetailedText(QString::fromStdString(MakeUnorderedList(errors)));
+ messagebox.setTextFormat(Qt::PlainText);
+ messagebox.setDefaultButton(QMessageBox::Reset);
+ switch (messagebox.exec()) {
+ case QMessageBox::Reset:
+ break;
+ case QMessageBox::Abort:
+ return false;
+ default:
+ assert(false);
+ }
+ }
-void BitcoinCore::initialize()
-{
- try
- {
- util::ThreadRename("qt-init");
- qDebug() << __func__ << ": Running initialization in thread";
- interfaces::BlockAndHeaderTipInfo tip_info;
- bool rv = m_node.appInitMain(&tip_info);
- Q_EMIT initializeResult(rv, tip_info);
- } catch (const std::exception& e) {
- handleRunawayException(&e);
- } catch (...) {
- handleRunawayException(nullptr);
+ errors.clear();
+ if (!gArgs.WriteSettingsFile(&errors)) {
+ std::string error = QT_TRANSLATE_NOOP("bitcoin-core", "Settings file could not be written");
+ std::string error_translated = QCoreApplication::translate("bitcoin-core", error.c_str()).toStdString();
+ InitError(Untranslated(strprintf("%s:\n%s\n", error, MakeUnorderedList(errors))));
+
+ QMessageBox messagebox(QMessageBox::Critical, PACKAGE_NAME, QString::fromStdString(strprintf("%s.", error_translated)), QMessageBox::Ok);
+ /*: Explanatory text shown on startup when the settings file could not be written.
+ Prompts user to check that we have the ability to write to the file.
+ Explains that the user has the option of running without a settings file.*/
+ messagebox.setInformativeText(QObject::tr("A fatal error occurred. Check that settings file is writable, or try running with -nosettings."));
+ messagebox.setDetailedText(QString::fromStdString(MakeUnorderedList(errors)));
+ messagebox.setTextFormat(Qt::PlainText);
+ messagebox.setDefaultButton(QMessageBox::Ok);
+ messagebox.exec();
+ return false;
}
+ return true;
}
-void BitcoinCore::shutdown()
+/* qDebug() message handler --> debug.log */
+void DebugMessageHandler(QtMsgType type, const QMessageLogContext& context, const QString &msg)
{
- try
- {
- qDebug() << __func__ << ": Running Shutdown in thread";
- m_node.appShutdown();
- qDebug() << __func__ << ": Shutdown finished";
- Q_EMIT shutdownResult();
- } catch (const std::exception& e) {
- handleRunawayException(&e);
- } catch (...) {
- handleRunawayException(nullptr);
+ Q_UNUSED(context);
+ if (type == QtDebugMsg) {
+ LogPrint(BCLog::QT, "GUI: %s\n", msg.toStdString());
+ } else {
+ LogPrintf("GUI: %s\n", msg.toStdString());
}
}
@@ -200,7 +215,6 @@ static const char* qt_argv = "bitcoin-qt";
BitcoinApplication::BitcoinApplication():
QApplication(qt_argc, const_cast<char **>(&qt_argv)),
- coreThread(nullptr),
optionsModel(nullptr),
clientModel(nullptr),
window(nullptr),
@@ -228,13 +242,7 @@ void BitcoinApplication::setupPlatformStyle()
BitcoinApplication::~BitcoinApplication()
{
- if(coreThread)
- {
- qDebug() << __func__ << ": Stopping thread";
- coreThread->quit();
- coreThread->wait();
- qDebug() << __func__ << ": Stopped thread";
- }
+ m_executor.reset();
delete window;
window = nullptr;
@@ -257,9 +265,14 @@ void BitcoinApplication::createOptionsModel(bool resetSettings)
void BitcoinApplication::createWindow(const NetworkStyle *networkStyle)
{
window = new BitcoinGUI(node(), platformStyle, networkStyle, nullptr);
+ connect(window, &BitcoinGUI::quitRequested, this, &BitcoinApplication::requestShutdown);
pollShutdownTimer = new QTimer(window);
- connect(pollShutdownTimer, &QTimer::timeout, window, &BitcoinGUI::detectShutdown);
+ connect(pollShutdownTimer, &QTimer::timeout, [this]{
+ if (!QApplication::activeModalWidget()) {
+ window->detectShutdown();
+ }
+ });
}
void BitcoinApplication::createSplashScreen(const NetworkStyle *networkStyle)
@@ -269,15 +282,14 @@ void BitcoinApplication::createSplashScreen(const NetworkStyle *networkStyle)
// We don't hold a direct pointer to the splash screen after creation, but the splash
// screen will take care of deleting itself when finish() happens.
m_splash->show();
- connect(this, &BitcoinApplication::requestedInitialize, m_splash, &SplashScreen::handleLoadWallet);
connect(this, &BitcoinApplication::splashFinished, m_splash, &SplashScreen::finish);
connect(this, &BitcoinApplication::requestedShutdown, m_splash, &QWidget::close);
}
-void BitcoinApplication::setNode(interfaces::Node& node)
+void BitcoinApplication::createNode(interfaces::Init& init)
{
assert(!m_node);
- m_node = &node;
+ m_node = init.makeNode();
if (optionsModel) optionsModel->setNode(*m_node);
if (m_splash) m_splash->setNode(*m_node);
}
@@ -289,22 +301,15 @@ bool BitcoinApplication::baseInitialize()
void BitcoinApplication::startThread()
{
- if(coreThread)
- return;
- coreThread = new QThread(this);
- BitcoinCore *executor = new BitcoinCore(node());
- executor->moveToThread(coreThread);
+ assert(!m_executor);
+ m_executor.emplace(node());
/* communication to and from thread */
- connect(executor, &BitcoinCore::initializeResult, this, &BitcoinApplication::initializeResult);
- connect(executor, &BitcoinCore::shutdownResult, this, &BitcoinApplication::shutdownResult);
- connect(executor, &BitcoinCore::runawayException, this, &BitcoinApplication::handleRunawayException);
- connect(this, &BitcoinApplication::requestedInitialize, executor, &BitcoinCore::initialize);
- connect(this, &BitcoinApplication::requestedShutdown, executor, &BitcoinCore::shutdown);
- /* make sure executor object is deleted in its own thread */
- connect(coreThread, &QThread::finished, executor, &QObject::deleteLater);
-
- coreThread->start();
+ connect(&m_executor.value(), &InitExecutor::initializeResult, this, &BitcoinApplication::initializeResult);
+ connect(&m_executor.value(), &InitExecutor::shutdownResult, this, &QCoreApplication::quit);
+ connect(&m_executor.value(), &InitExecutor::runawayException, this, &BitcoinApplication::handleRunawayException);
+ connect(this, &BitcoinApplication::requestedInitialize, &m_executor.value(), &InitExecutor::initialize);
+ connect(this, &BitcoinApplication::requestedShutdown, &m_executor.value(), &InitExecutor::shutdown);
}
void BitcoinApplication::parameterSetup()
@@ -317,11 +322,9 @@ void BitcoinApplication::parameterSetup()
InitParameterInteraction(gArgs);
}
-void BitcoinApplication::InitializePruneSetting(bool prune)
+void BitcoinApplication::InitPruneSetting(int64_t prune_MiB)
{
- // If prune is set, intentionally override existing prune size with
- // the default size since this is called when choosing a new datadir.
- optionsModel->SetPruneTargetGB(prune ? DEFAULT_PRUNE_TARGET_GB : 0, true);
+ optionsModel->SetPruneTargetGB(PruneMiBtoGB(prune_MiB), true);
}
void BitcoinApplication::requestInitialize()
@@ -333,14 +336,17 @@ void BitcoinApplication::requestInitialize()
void BitcoinApplication::requestShutdown()
{
+ for (const auto w : QGuiApplication::topLevelWindows()) {
+ w->hide();
+ }
+
// Show a simple window indicating shutdown status
// Do this first as some of the steps may take some time below,
// for example the RPC console may still be executing a command.
shutdownWindow.reset(ShutdownWindow::showShutdownWindow(window));
qDebug() << __func__ << ": Requesting shutdown";
- startThread();
- window->hide();
+
// Must disconnect node signals otherwise current thread can deadlock since
// no event loop is running.
window->unsubscribeFromCoreSignals();
@@ -352,6 +358,17 @@ void BitcoinApplication::requestShutdown()
window->setClientModel(nullptr);
pollShutdownTimer->stop();
+#ifdef ENABLE_WALLET
+ // Delete wallet controller here manually, instead of relying on Qt object
+ // tracking (https://doc.qt.io/qt-5/objecttrees.html). This makes sure
+ // walletmodel m_handle_* notification handlers are deleted before wallets
+ // are unloaded, which can simplify wallet implementations. It also avoids
+ // these notifications having to be handled while GUI objects are being
+ // destroyed, making GUI code less fragile as well.
+ delete m_wallet_controller;
+ m_wallet_controller = nullptr;
+#endif // ENABLE_WALLET
+
delete clientModel;
clientModel = nullptr;
@@ -400,25 +417,33 @@ void BitcoinApplication::initializeResult(bool success, interfaces::BlockAndHead
connect(paymentServer, &PaymentServer::message, [this](const QString& title, const QString& message, unsigned int style) {
window->message(title, message, style);
});
- QTimer::singleShot(100, paymentServer, &PaymentServer::uiReady);
+ QTimer::singleShot(100ms, paymentServer, &PaymentServer::uiReady);
}
#endif
- pollShutdownTimer->start(200);
+ pollShutdownTimer->start(SHUTDOWN_POLLING_DELAY);
} else {
Q_EMIT splashFinished(); // Make sure splash screen doesn't stick around during shutdown
- quit(); // Exit first main loop invocation
+ requestShutdown();
}
}
-void BitcoinApplication::shutdownResult()
+void BitcoinApplication::handleRunawayException(const QString &message)
{
- quit(); // Exit second main loop invocation after shutdown finished
+ QMessageBox::critical(
+ nullptr, tr("Runaway exception"),
+ tr("A fatal error occurred. %1 can no longer continue safely and will quit.").arg(PACKAGE_NAME) +
+ QLatin1String("<br><br>") + GUIUtil::MakeHtmlLink(message, PACKAGE_BUGREPORT));
+ ::exit(EXIT_FAILURE);
}
-void BitcoinApplication::handleRunawayException(const QString &message)
+void BitcoinApplication::handleNonFatalException(const QString& message)
{
- QMessageBox::critical(nullptr, "Runaway exception", BitcoinGUI::tr("A fatal error occurred. %1 can no longer continue safely and will quit.").arg(PACKAGE_NAME) + QString("<br><br>") + message);
- ::exit(EXIT_FAILURE);
+ assert(QThread::currentThread() == thread());
+ QMessageBox::warning(
+ nullptr, tr("Internal error"),
+ tr("An internal error occurred. %1 will attempt to continue safely. This is "
+ "an unexpected bug which can be reported as described below.").arg(PACKAGE_NAME) +
+ QLatin1String("<br><br>") + GUIUtil::MakeHtmlLink(message, PACKAGE_BUGREPORT));
}
WId BitcoinApplication::getMainWinId() const
@@ -445,12 +470,12 @@ int GuiMain(int argc, char* argv[])
util::WinCmdLineArgs winArgs;
std::tie(argc, argv) = winArgs.get();
#endif
+
+ std::unique_ptr<interfaces::Init> init = interfaces::MakeGuiInit(argc, argv);
+
SetupEnvironment();
util::ThreadSetInternalName("main");
- NodeContext node_context;
- std::unique_ptr<interfaces::Node> node = interfaces::MakeNode(&node_context);
-
// Subscribe to global signals from core
boost::signals2::scoped_connection handler_message_box = ::uiInterface.ThreadSafeMessageBox_connect(noui_ThreadSafeMessageBox);
boost::signals2::scoped_connection handler_question = ::uiInterface.ThreadSafeQuestion_connect(noui_ThreadSafeQuestion);
@@ -466,19 +491,18 @@ int GuiMain(int argc, char* argv[])
QApplication::setAttribute(Qt::AA_UseHighDpiPixmaps);
QCoreApplication::setAttribute(Qt::AA_EnableHighDpiScaling);
-#if (QT_VERSION <= QT_VERSION_CHECK(5, 9, 8)) && defined(Q_OS_MACOS)
- const auto os_name = QSysInfo::prettyProductName();
- if (os_name.startsWith("macOS 11") || os_name.startsWith("macOS 10.16")) {
- QApplication::setStyle("fusion");
- }
+#if defined(QT_QPA_PLATFORM_ANDROID)
+ QApplication::setAttribute(Qt::AA_DontUseNativeMenuBar);
+ QApplication::setAttribute(Qt::AA_DontCreateNativeWidgetSiblings);
+ QApplication::setAttribute(Qt::AA_DontUseNativeDialogs);
#endif
BitcoinApplication app;
- QFontDatabase::addApplicationFont(":/fonts/monospace");
+ GUIUtil::LoadFont(QStringLiteral(":/fonts/monospace"));
/// 2. Parse command-line options. We do this after qt in order to show an error if there are problems parsing these
// Command-line options take precedence:
- SetupServerArgs(node_context);
+ SetupServerArgs(gArgs);
SetupUIArgs(gArgs);
std::string error;
if (!gArgs.ParseParameters(argc, argv, error)) {
@@ -519,12 +543,12 @@ int GuiMain(int argc, char* argv[])
/// 5. Now that settings and translations are available, ask user for data directory
// User language is set up: pick a data directory
bool did_show_intro = false;
- bool prune = false; // Intro dialog prune check box
+ int64_t prune_MiB = 0; // Intro dialog prune configuration
// Gracefully exit if the user cancels
- if (!Intro::showIfNeeded(did_show_intro, prune)) return EXIT_SUCCESS;
+ if (!Intro::showIfNeeded(did_show_intro, prune_MiB)) return EXIT_SUCCESS;
/// 6. Determine availability of data directory and parse bitcoin.conf
- /// - Do not call GetDataDir(true) before this step finishes
+ /// - Do not call gArgs.GetDataDirNet() before this step finishes
if (!CheckDataDirOption()) {
InitError(strprintf(Untranslated("Specified data directory \"%s\" does not exist.\n"), gArgs.GetArg("-datadir", "")));
QMessageBox::critical(nullptr, PACKAGE_NAME,
@@ -556,9 +580,8 @@ int GuiMain(int argc, char* argv[])
// Parse URIs on command line -- this can affect Params()
PaymentServer::ipcParseCommandLine(argc, argv);
#endif
- if (!gArgs.InitSettings(error)) {
- InitError(Untranslated(error));
- QMessageBox::critical(nullptr, PACKAGE_NAME, QObject::tr("Error initializing settings: %1").arg(QString::fromStdString(error)));
+
+ if (!InitSettings()) {
return EXIT_FAILURE;
}
@@ -603,13 +626,13 @@ int GuiMain(int argc, char* argv[])
if (did_show_intro) {
// Store intro dialog settings other than datadir (network specific)
- app.InitializePruneSetting(prune);
+ app.InitPruneSetting(prune_MiB);
}
if (gArgs.GetBoolArg("-splash", DEFAULT_SPLASHSCREEN) && !gArgs.GetBoolArg("-min", false))
app.createSplashScreen(networkStyle.data());
- app.setNode(*node);
+ app.createNode(*init);
int rv = EXIT_SUCCESS;
try
@@ -621,11 +644,9 @@ int GuiMain(int argc, char* argv[])
if (app.baseInitialize()) {
app.requestInitialize();
#if defined(Q_OS_WIN)
- WinShutdownMonitor::registerShutdownBlockReason(QObject::tr("%1 didn't yet exit safely...").arg(PACKAGE_NAME), (HWND)app.getMainWinId());
+ WinShutdownMonitor::registerShutdownBlockReason(QObject::tr("%1 didn't yet exit safely…").arg(PACKAGE_NAME), (HWND)app.getMainWinId());
#endif
app.exec();
- app.requestShutdown();
- app.exec();
rv = app.getReturnValue();
} else {
// A dialog with detailed error will have been shown by InitError()
diff --git a/src/qt/bitcoin.h b/src/qt/bitcoin.h
index 69e0a5921e..0703c6dcb9 100644
--- a/src/qt/bitcoin.h
+++ b/src/qt/bitcoin.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,11 +9,14 @@
#include <config/bitcoin-config.h>
#endif
-#include <QApplication>
+#include <interfaces/node.h>
+#include <qt/initexecutor.h>
+
#include <assert.h>
#include <memory>
+#include <optional>
-#include <interfaces/node.h>
+#include <QApplication>
class BitcoinGUI;
class ClientModel;
@@ -24,33 +27,11 @@ class PlatformStyle;
class SplashScreen;
class WalletController;
class WalletModel;
+namespace interfaces {
+class Init;
+} // namespace interfaces
-/** Class encapsulating Bitcoin Core startup and shutdown.
- * Allows running startup and shutdown in a different thread from the UI thread.
- */
-class BitcoinCore: public QObject
-{
- Q_OBJECT
-public:
- explicit BitcoinCore(interfaces::Node& node);
-
-public Q_SLOTS:
- void initialize();
- void shutdown();
-
-Q_SIGNALS:
- void initializeResult(bool success, interfaces::BlockAndHeaderTipInfo tip_info);
- void shutdownResult();
- void runawayException(const QString &message);
-
-private:
- /// Pass fatal exception message to UI thread
- void handleRunawayException(const std::exception *e);
-
- interfaces::Node& m_node;
-};
-
/** Main Bitcoin application object */
class BitcoinApplication: public QApplication
{
@@ -68,18 +49,18 @@ public:
/// Create options model
void createOptionsModel(bool resetSettings);
/// Initialize prune setting
- void InitializePruneSetting(bool prune);
+ void InitPruneSetting(int64_t prune_MiB);
/// Create main window
void createWindow(const NetworkStyle *networkStyle);
/// Create splash screen
void createSplashScreen(const NetworkStyle *networkStyle);
+ /// Create or spawn node
+ void createNode(interfaces::Init& init);
/// Basic initialization, before starting initialization/shutdown thread. Return true on success.
bool baseInitialize();
/// Request core initialization
void requestInitialize();
- /// Request core shutdown
- void requestShutdown();
/// Get process return value
int getReturnValue() const { return returnValue; }
@@ -91,14 +72,20 @@ public:
void setupPlatformStyle();
interfaces::Node& node() const { assert(m_node); return *m_node; }
- void setNode(interfaces::Node& node);
public Q_SLOTS:
void initializeResult(bool success, interfaces::BlockAndHeaderTipInfo tip_info);
- void shutdownResult();
+ /// Request core shutdown
+ void requestShutdown();
/// Handle runaway exceptions. Shows a message box with the problem and quits the program.
void handleRunawayException(const QString &message);
+ /**
+ * A helper function that shows a message box
+ * with details about a non-fatal exception.
+ */
+ void handleNonFatalException(const QString& message);
+
Q_SIGNALS:
void requestedInitialize();
void requestedShutdown();
@@ -106,7 +93,7 @@ Q_SIGNALS:
void windowShown(BitcoinGUI* window);
private:
- QThread *coreThread;
+ std::optional<InitExecutor> m_executor;
OptionsModel *optionsModel;
ClientModel *clientModel;
BitcoinGUI *window;
@@ -119,7 +106,7 @@ private:
const PlatformStyle *platformStyle;
std::unique_ptr<QWidget> shutdownWindow;
SplashScreen* m_splash = nullptr;
- interfaces::Node* m_node = nullptr;
+ std::unique_ptr<interfaces::Node> m_node;
void startThread();
};
diff --git a/src/qt/bitcoinamountfield.cpp b/src/qt/bitcoinamountfield.cpp
index 2af3502be3..a257e250e0 100644
--- a/src/qt/bitcoinamountfield.cpp
+++ b/src/qt/bitcoinamountfield.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -239,7 +239,7 @@ BitcoinAmountField::BitcoinAmountField(QWidget *parent) :
// If one if the widgets changes, the combined content changes as well
connect(amount, &AmountSpinBox::valueChanged, this, &BitcoinAmountField::valueChanged);
- connect(unit, static_cast<void (QComboBox::*)(int)>(&QComboBox::currentIndexChanged), this, &BitcoinAmountField::unitChanged);
+ connect(unit, qOverload<int>(&QComboBox::currentIndexChanged), this, &BitcoinAmountField::unitChanged);
// Set default based on configuration
unitChanged(unit->currentIndex());
diff --git a/src/qt/bitcoinamountfield.h b/src/qt/bitcoinamountfield.h
index c60d9a2c90..366a6fc4b5 100644
--- a/src/qt/bitcoinamountfield.h
+++ b/src/qt/bitcoinamountfield.h
@@ -1,11 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_BITCOINAMOUNTFIELD_H
#define BITCOIN_QT_BITCOINAMOUNTFIELD_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <QWidget>
diff --git a/src/qt/bitcoingui.cpp b/src/qt/bitcoingui.cpp
index 6677c9e3b5..7c22880dd1 100644
--- a/src/qt/bitcoingui.cpp
+++ b/src/qt/bitcoingui.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -43,6 +43,7 @@
#include <QAction>
#include <QApplication>
#include <QComboBox>
+#include <QCursor>
#include <QDateTime>
#include <QDragEnterEvent>
#include <QListWidget>
@@ -104,6 +105,14 @@ BitcoinGUI::BitcoinGUI(interfaces::Node& node, const PlatformStyle *_platformSty
{
/** Create wallet frame and make it the central widget */
walletFrame = new WalletFrame(_platformStyle, this);
+ connect(walletFrame, &WalletFrame::createWalletButtonClicked, [this] {
+ auto activity = new CreateWalletActivity(getWalletController(), this);
+ activity->create();
+ });
+ connect(walletFrame, &WalletFrame::message, [this](const QString& title, const QString& message, unsigned int style) {
+ this->message(title, message, style);
+ });
+ connect(walletFrame, &WalletFrame::currentWalletSet, [this] { updateWalletStatus(); });
setCentralWidget(walletFrame);
} else
#endif // ENABLE_WALLET
@@ -150,18 +159,20 @@ BitcoinGUI::BitcoinGUI(interfaces::Node& node, const PlatformStyle *_platformSty
frameBlocksLayout->setContentsMargins(3,0,3,0);
frameBlocksLayout->setSpacing(3);
unitDisplayControl = new UnitDisplayStatusBarControl(platformStyle);
- labelWalletEncryptionIcon = new QLabel();
- labelWalletHDStatusIcon = new QLabel();
- labelProxyIcon = new GUIUtil::ClickableLabel();
- connectionsControl = new GUIUtil::ClickableLabel();
- labelBlocksIcon = new GUIUtil::ClickableLabel();
+ labelWalletEncryptionIcon = new GUIUtil::ThemedLabel(platformStyle);
+ labelWalletHDStatusIcon = new GUIUtil::ThemedLabel(platformStyle);
+ labelProxyIcon = new GUIUtil::ClickableLabel(platformStyle);
+ connectionsControl = new GUIUtil::ClickableLabel(platformStyle);
+ labelBlocksIcon = new GUIUtil::ClickableLabel(platformStyle);
if(enableWallet)
{
frameBlocksLayout->addStretch();
frameBlocksLayout->addWidget(unitDisplayControl);
frameBlocksLayout->addStretch();
frameBlocksLayout->addWidget(labelWalletEncryptionIcon);
+ labelWalletEncryptionIcon->hide();
frameBlocksLayout->addWidget(labelWalletHDStatusIcon);
+ labelWalletHDStatusIcon->hide();
}
frameBlocksLayout->addWidget(labelProxyIcon);
frameBlocksLayout->addStretch();
@@ -199,20 +210,12 @@ BitcoinGUI::BitcoinGUI(interfaces::Node& node, const PlatformStyle *_platformSty
// Subscribe to notifications from core
subscribeToCoreSignals();
- connect(connectionsControl, &GUIUtil::ClickableLabel::clicked, [this] {
- m_node.setNetworkActive(!m_node.getNetworkActive());
- });
connect(labelProxyIcon, &GUIUtil::ClickableLabel::clicked, [this] {
openOptionsDialogWithTab(OptionsDialog::TAB_NETWORK);
});
connect(labelBlocksIcon, &GUIUtil::ClickableLabel::clicked, this, &BitcoinGUI::showModalOverlay);
connect(progressBar, &GUIUtil::ClickableProgressBar::clicked, this, &BitcoinGUI::showModalOverlay);
-#ifdef ENABLE_WALLET
- if(enableWallet) {
- connect(walletFrame, &WalletFrame::requestedSyncWarningInfo, this, &BitcoinGUI::showModalOverlay);
- }
-#endif
#ifdef Q_OS_MAC
m_app_nap_inhibitor = new CAppNapInhibitor;
@@ -258,10 +261,6 @@ void BitcoinGUI::createActions()
sendCoinsAction->setShortcut(QKeySequence(Qt::ALT + Qt::Key_2));
tabGroup->addAction(sendCoinsAction);
- sendCoinsMenuAction = new QAction(sendCoinsAction->text(), this);
- sendCoinsMenuAction->setStatusTip(sendCoinsAction->statusTip());
- sendCoinsMenuAction->setToolTip(sendCoinsMenuAction->statusTip());
-
receiveCoinsAction = new QAction(platformStyle->SingleColorIcon(":/icons/receiving_addresses"), tr("&Receive"), this);
receiveCoinsAction->setStatusTip(tr("Request payments (generates QR codes and bitcoin: URIs)"));
receiveCoinsAction->setToolTip(receiveCoinsAction->statusTip());
@@ -269,10 +268,6 @@ void BitcoinGUI::createActions()
receiveCoinsAction->setShortcut(QKeySequence(Qt::ALT + Qt::Key_3));
tabGroup->addAction(receiveCoinsAction);
- receiveCoinsMenuAction = new QAction(receiveCoinsAction->text(), this);
- receiveCoinsMenuAction->setStatusTip(receiveCoinsAction->statusTip());
- receiveCoinsMenuAction->setToolTip(receiveCoinsMenuAction->statusTip());
-
historyAction = new QAction(platformStyle->SingleColorIcon(":/icons/history"), tr("&Transactions"), this);
historyAction->setStatusTip(tr("Browse transaction history"));
historyAction->setToolTip(historyAction->statusTip());
@@ -287,12 +282,8 @@ void BitcoinGUI::createActions()
connect(overviewAction, &QAction::triggered, this, &BitcoinGUI::gotoOverviewPage);
connect(sendCoinsAction, &QAction::triggered, [this]{ showNormalIfMinimized(); });
connect(sendCoinsAction, &QAction::triggered, [this]{ gotoSendCoinsPage(); });
- connect(sendCoinsMenuAction, &QAction::triggered, [this]{ showNormalIfMinimized(); });
- connect(sendCoinsMenuAction, &QAction::triggered, [this]{ gotoSendCoinsPage(); });
connect(receiveCoinsAction, &QAction::triggered, [this]{ showNormalIfMinimized(); });
connect(receiveCoinsAction, &QAction::triggered, this, &BitcoinGUI::gotoReceiveCoinsPage);
- connect(receiveCoinsMenuAction, &QAction::triggered, [this]{ showNormalIfMinimized(); });
- connect(receiveCoinsMenuAction, &QAction::triggered, this, &BitcoinGUI::gotoReceiveCoinsPage);
connect(historyAction, &QAction::triggered, [this]{ showNormalIfMinimized(); });
connect(historyAction, &QAction::triggered, this, &BitcoinGUI::gotoHistoryPage);
#endif // ENABLE_WALLET
@@ -308,27 +299,25 @@ void BitcoinGUI::createActions()
aboutQtAction = new QAction(tr("About &Qt"), this);
aboutQtAction->setStatusTip(tr("Show information about Qt"));
aboutQtAction->setMenuRole(QAction::AboutQtRole);
- optionsAction = new QAction(tr("&Options..."), this);
+ optionsAction = new QAction(tr("&Options…"), this);
optionsAction->setStatusTip(tr("Modify configuration options for %1").arg(PACKAGE_NAME));
optionsAction->setMenuRole(QAction::PreferencesRole);
optionsAction->setEnabled(false);
- toggleHideAction = new QAction(tr("&Show / Hide"), this);
- toggleHideAction->setStatusTip(tr("Show or hide the main Window"));
- encryptWalletAction = new QAction(tr("&Encrypt Wallet..."), this);
+ encryptWalletAction = new QAction(tr("&Encrypt Wallet…"), this);
encryptWalletAction->setStatusTip(tr("Encrypt the private keys that belong to your wallet"));
encryptWalletAction->setCheckable(true);
- backupWalletAction = new QAction(tr("&Backup Wallet..."), this);
+ backupWalletAction = new QAction(tr("&Backup Wallet…"), this);
backupWalletAction->setStatusTip(tr("Backup wallet to another location"));
- changePassphraseAction = new QAction(tr("&Change Passphrase..."), this);
+ changePassphraseAction = new QAction(tr("&Change Passphrase…"), this);
changePassphraseAction->setStatusTip(tr("Change the passphrase used for wallet encryption"));
- signMessageAction = new QAction(tr("Sign &message..."), this);
+ signMessageAction = new QAction(tr("Sign &message…"), this);
signMessageAction->setStatusTip(tr("Sign messages with your Bitcoin addresses to prove you own them"));
- verifyMessageAction = new QAction(tr("&Verify message..."), this);
+ verifyMessageAction = new QAction(tr("&Verify message…"), this);
verifyMessageAction->setStatusTip(tr("Verify messages to ensure they were signed with specified Bitcoin addresses"));
- m_load_psbt_action = new QAction(tr("&Load PSBT from file..."), this);
+ m_load_psbt_action = new QAction(tr("&Load PSBT from file…"), this);
m_load_psbt_action->setStatusTip(tr("Load Partially Signed Bitcoin Transaction"));
- m_load_psbt_clipboard_action = new QAction(tr("Load PSBT from clipboard..."), this);
+ m_load_psbt_clipboard_action = new QAction(tr("Load PSBT from &clipboard…"), this);
m_load_psbt_clipboard_action->setStatusTip(tr("Load Partially Signed Bitcoin Transaction from clipboard"));
openRPCConsoleAction = new QAction(tr("Node window"), this);
@@ -342,7 +331,7 @@ void BitcoinGUI::createActions()
usedReceivingAddressesAction = new QAction(tr("&Receiving addresses"), this);
usedReceivingAddressesAction->setStatusTip(tr("Show the list of used receiving addresses and labels"));
- openAction = new QAction(tr("Open &URI..."), this);
+ openAction = new QAction(tr("Open &URI…"), this);
openAction->setStatusTip(tr("Open a bitcoin: URI"));
m_open_wallet_action = new QAction(tr("Open Wallet"), this);
@@ -350,14 +339,14 @@ void BitcoinGUI::createActions()
m_open_wallet_action->setStatusTip(tr("Open a wallet"));
m_open_wallet_menu = new QMenu(this);
- m_close_wallet_action = new QAction(tr("Close Wallet..."), this);
+ m_close_wallet_action = new QAction(tr("Close Wallet…"), this);
m_close_wallet_action->setStatusTip(tr("Close wallet"));
- m_create_wallet_action = new QAction(tr("Create Wallet..."), this);
+ m_create_wallet_action = new QAction(tr("Create Wallet…"), this);
m_create_wallet_action->setEnabled(false);
m_create_wallet_action->setStatusTip(tr("Create a new wallet"));
- m_close_all_wallets_action = new QAction(tr("Close All Wallets..."), this);
+ m_close_all_wallets_action = new QAction(tr("Close All Wallets…"), this);
m_close_all_wallets_action->setStatusTip(tr("Close all wallets"));
showHelpMessageAction = new QAction(tr("&Command-line options"), this);
@@ -369,11 +358,10 @@ void BitcoinGUI::createActions()
m_mask_values_action->setStatusTip(tr("Mask the values in the Overview tab"));
m_mask_values_action->setCheckable(true);
- connect(quitAction, &QAction::triggered, qApp, QApplication::quit);
+ connect(quitAction, &QAction::triggered, this, &BitcoinGUI::quitRequested);
connect(aboutAction, &QAction::triggered, this, &BitcoinGUI::aboutClicked);
connect(aboutQtAction, &QAction::triggered, qApp, QApplication::aboutQt);
connect(optionsAction, &QAction::triggered, this, &BitcoinGUI::optionsClicked);
- connect(toggleHideAction, &QAction::triggered, this, &BitcoinGUI::toggleHidden);
connect(showHelpMessageAction, &QAction::triggered, this, &BitcoinGUI::showHelpMessageClicked);
connect(openRPCConsoleAction, &QAction::triggered, this, &BitcoinGUI::showDebugWindow);
// prevents an open debug window from becoming stuck/unusable on client shutdown
@@ -414,7 +402,6 @@ void BitcoinGUI::createActions()
connect(action, &QAction::triggered, [this, path] {
auto activity = new OpenWalletActivity(m_wallet_controller, this);
connect(activity, &OpenWalletActivity::opened, this, &BitcoinGUI::setCurrentWallet);
- connect(activity, &OpenWalletActivity::finished, activity, &QObject::deleteLater);
activity->open(path);
});
}
@@ -429,7 +416,6 @@ void BitcoinGUI::createActions()
connect(m_create_wallet_action, &QAction::triggered, [this] {
auto activity = new CreateWalletActivity(m_wallet_controller, this);
connect(activity, &CreateWalletActivity::created, this, &BitcoinGUI::setCurrentWallet);
- connect(activity, &CreateWalletActivity::finished, activity, &QObject::deleteLater);
activity->create();
});
connect(m_close_all_wallets_action, &QAction::triggered, [this] {
@@ -485,7 +471,7 @@ void BitcoinGUI::createMenuBar()
QMenu* window_menu = appMenuBar->addMenu(tr("&Window"));
- QAction* minimize_action = window_menu->addAction(tr("Minimize"));
+ QAction* minimize_action = window_menu->addAction(tr("&Minimize"));
minimize_action->setShortcut(QKeySequence(Qt::CTRL + Qt::Key_M));
connect(minimize_action, &QAction::triggered, [] {
QApplication::activeWindow()->showMinimized();
@@ -561,7 +547,7 @@ void BitcoinGUI::createToolBars()
m_wallet_selector = new QComboBox();
m_wallet_selector->setSizeAdjustPolicy(QComboBox::AdjustToContents);
- connect(m_wallet_selector, static_cast<void (QComboBox::*)(int)>(&QComboBox::currentIndexChanged), this, &BitcoinGUI::setCurrentWalletBySelectorIndex);
+ connect(m_wallet_selector, qOverload<int>(&QComboBox::currentIndexChanged), this, &BitcoinGUI::setCurrentWalletBySelectorIndex);
m_wallet_selector_label = new QLabel();
m_wallet_selector_label->setText(tr("Wallet:") + " ");
@@ -586,12 +572,15 @@ void BitcoinGUI::setClientModel(ClientModel *_clientModel, interfaces::BlockAndH
createTrayIconMenu();
// Keep up to date with client
- updateNetworkState();
+ setNetworkActive(m_node.getNetworkActive());
+ connect(connectionsControl, &GUIUtil::ClickableLabel::clicked, [this] {
+ GUIUtil::PopupMenu(m_network_context_menu, QCursor::pos());
+ });
connect(_clientModel, &ClientModel::numConnectionsChanged, this, &BitcoinGUI::setNumConnections);
connect(_clientModel, &ClientModel::networkActiveChanged, this, &BitcoinGUI::setNetworkActive);
- modalOverlay->setKnownBestHeight(tip_info->header_height, QDateTime::fromTime_t(tip_info->header_time));
- setNumBlocks(tip_info->block_height, QDateTime::fromTime_t(tip_info->block_time), tip_info->verification_progress, false, SynchronizationState::INIT_DOWNLOAD);
+ modalOverlay->setKnownBestHeight(tip_info->header_height, QDateTime::fromSecsSinceEpoch(tip_info->header_time));
+ setNumBlocks(tip_info->block_height, QDateTime::fromSecsSinceEpoch(tip_info->block_time), tip_info->verification_progress, false, SynchronizationState::INIT_DOWNLOAD);
connect(_clientModel, &ClientModel::numBlocksChanged, this, &BitcoinGUI::setNumBlocks);
// Receive and report messages from client model
@@ -623,8 +612,6 @@ void BitcoinGUI::setClientModel(ClientModel *_clientModel, interfaces::BlockAndH
trayIcon->setVisible(optionsModel->getShowTrayIcon());
}
} else {
- // Disable possibility to show main window via action
- toggleHideAction->setEnabled(false);
if(trayIconMenu)
{
// Disable context menu on tray icon
@@ -654,12 +641,11 @@ void BitcoinGUI::setWalletController(WalletController* wallet_controller)
m_open_wallet_action->setEnabled(true);
m_open_wallet_action->setMenu(m_open_wallet_menu);
- connect(wallet_controller, &WalletController::walletAdded, this, &BitcoinGUI::addWallet);
+ GUIUtil::ExceptionSafeConnect(wallet_controller, &WalletController::walletAdded, this, &BitcoinGUI::addWallet);
connect(wallet_controller, &WalletController::walletRemoved, this, &BitcoinGUI::removeWallet);
- for (WalletModel* wallet_model : m_wallet_controller->getOpenWallets()) {
- addWallet(wallet_model);
- }
+ auto activity = new LoadWalletsActivity(m_wallet_controller, this);
+ activity->load();
}
WalletController* BitcoinGUI::getWalletController()
@@ -670,7 +656,10 @@ WalletController* BitcoinGUI::getWalletController()
void BitcoinGUI::addWallet(WalletModel* walletModel)
{
if (!walletFrame) return;
- if (!walletFrame->addWallet(walletModel)) return;
+
+ WalletView* wallet_view = new WalletView(walletModel, platformStyle, walletFrame);
+ if (!walletFrame->addView(wallet_view)) return;
+
rpcConsole->addWallet(walletModel);
if (m_wallet_selector->count() == 0) {
setWalletActionsEnabled(true);
@@ -678,6 +667,17 @@ void BitcoinGUI::addWallet(WalletModel* walletModel)
m_wallet_selector_label_action->setVisible(true);
m_wallet_selector_action->setVisible(true);
}
+
+ connect(wallet_view, &WalletView::outOfSyncWarningClicked, this, &BitcoinGUI::showModalOverlay);
+ connect(wallet_view, &WalletView::transactionClicked, this, &BitcoinGUI::gotoHistoryPage);
+ connect(wallet_view, &WalletView::coinsSent, this, &BitcoinGUI::gotoHistoryPage);
+ connect(wallet_view, &WalletView::message, [this](const QString& title, const QString& message, unsigned int style) {
+ this->message(title, message, style);
+ });
+ connect(wallet_view, &WalletView::encryptionStatusChanged, this, &BitcoinGUI::updateWalletStatus);
+ connect(wallet_view, &WalletView::incomingTransaction, this, &BitcoinGUI::incomingTransaction);
+ connect(this, &BitcoinGUI::setPrivacy, wallet_view, &WalletView::setPrivacy);
+ wallet_view->setPrivacy(isPrivacyModeActivated());
const QString display_name = walletModel->getDisplayName();
m_wallet_selector->addItem(display_name, QVariant::fromValue(walletModel));
}
@@ -735,9 +735,7 @@ void BitcoinGUI::setWalletActionsEnabled(bool enabled)
{
overviewAction->setEnabled(enabled);
sendCoinsAction->setEnabled(enabled);
- sendCoinsMenuAction->setEnabled(enabled);
receiveCoinsAction->setEnabled(enabled);
- receiveCoinsMenuAction->setEnabled(enabled);
historyAction->setEnabled(enabled);
encryptWalletAction->setEnabled(enabled);
backupWalletAction->setEnabled(enabled);
@@ -767,57 +765,82 @@ void BitcoinGUI::createTrayIcon()
void BitcoinGUI::createTrayIconMenu()
{
#ifndef Q_OS_MAC
- // return if trayIcon is unset (only on non-macOSes)
- if (!trayIcon)
- return;
-
- trayIcon->setContextMenu(trayIconMenu.get());
- connect(trayIcon, &QSystemTrayIcon::activated, this, &BitcoinGUI::trayIconActivated);
-#else
- // Note: On macOS, the Dock icon is used to provide the tray's functionality.
- MacDockIconHandler *dockIconHandler = MacDockIconHandler::instance();
- connect(dockIconHandler, &MacDockIconHandler::dockIconClicked, this, &BitcoinGUI::macosDockIconActivated);
- trayIconMenu->setAsDockMenu();
-#endif
+ if (!trayIcon) return;
+#endif // Q_OS_MAC
- // Configuration of the tray icon (or Dock icon) menu
+ // Configuration of the tray icon (or Dock icon) menu.
+ QAction* show_hide_action{nullptr};
#ifndef Q_OS_MAC
// Note: On macOS, the Dock icon's menu already has Show / Hide action.
- trayIconMenu->addAction(toggleHideAction);
+ show_hide_action = trayIconMenu->addAction(QString(), this, &BitcoinGUI::toggleHidden);
trayIconMenu->addSeparator();
-#endif
+#endif // Q_OS_MAC
+
+ QAction* send_action{nullptr};
+ QAction* receive_action{nullptr};
+ QAction* sign_action{nullptr};
+ QAction* verify_action{nullptr};
if (enableWallet) {
- trayIconMenu->addAction(sendCoinsMenuAction);
- trayIconMenu->addAction(receiveCoinsMenuAction);
+ send_action = trayIconMenu->addAction(sendCoinsAction->text(), sendCoinsAction, &QAction::trigger);
+ receive_action = trayIconMenu->addAction(receiveCoinsAction->text(), receiveCoinsAction, &QAction::trigger);
trayIconMenu->addSeparator();
- trayIconMenu->addAction(signMessageAction);
- trayIconMenu->addAction(verifyMessageAction);
+ sign_action = trayIconMenu->addAction(signMessageAction->text(), signMessageAction, &QAction::trigger);
+ verify_action = trayIconMenu->addAction(verifyMessageAction->text(), verifyMessageAction, &QAction::trigger);
trayIconMenu->addSeparator();
}
- trayIconMenu->addAction(optionsAction);
- trayIconMenu->addAction(openRPCConsoleAction);
-#ifndef Q_OS_MAC // This is built-in on macOS
+ QAction* options_action = trayIconMenu->addAction(optionsAction->text(), optionsAction, &QAction::trigger);
+ options_action->setMenuRole(QAction::PreferencesRole);
+ QAction* node_window_action = trayIconMenu->addAction(openRPCConsoleAction->text(), openRPCConsoleAction, &QAction::trigger);
+ QAction* quit_action{nullptr};
+#ifndef Q_OS_MAC
+ // Note: On macOS, the Dock icon's menu already has Quit action.
trayIconMenu->addSeparator();
- trayIconMenu->addAction(quitAction);
-#endif
-}
+ quit_action = trayIconMenu->addAction(quitAction->text(), quitAction, &QAction::trigger);
-#ifndef Q_OS_MAC
-void BitcoinGUI::trayIconActivated(QSystemTrayIcon::ActivationReason reason)
-{
- if(reason == QSystemTrayIcon::Trigger)
- {
- // Click on system tray icon triggers show/hide of the main window
- toggleHidden();
- }
-}
+ trayIcon->setContextMenu(trayIconMenu.get());
+ connect(trayIcon, &QSystemTrayIcon::activated, [this](QSystemTrayIcon::ActivationReason reason) {
+ if (reason == QSystemTrayIcon::Trigger) {
+ // Click on system tray icon triggers show/hide of the main window
+ toggleHidden();
+ }
+ });
#else
-void BitcoinGUI::macosDockIconActivated()
-{
- show();
- activateWindow();
+ // Note: On macOS, the Dock icon is used to provide the tray's functionality.
+ MacDockIconHandler* dockIconHandler = MacDockIconHandler::instance();
+ connect(dockIconHandler, &MacDockIconHandler::dockIconClicked, [this] {
+ show();
+ activateWindow();
+ });
+ trayIconMenu->setAsDockMenu();
+#endif // Q_OS_MAC
+
+ connect(
+ // Using QSystemTrayIcon::Context is not reliable.
+ // See https://bugreports.qt.io/browse/QTBUG-91697
+ trayIconMenu.get(), &QMenu::aboutToShow,
+ [this, show_hide_action, send_action, receive_action, sign_action, verify_action, options_action, node_window_action, quit_action] {
+ if (show_hide_action) show_hide_action->setText(
+ (!isHidden() && !isMinimized() && !GUIUtil::isObscured(this)) ?
+ tr("&Hide") :
+ tr("S&how"));
+ if (QApplication::activeModalWidget()) {
+ for (QAction* a : trayIconMenu.get()->actions()) {
+ a->setEnabled(false);
+ }
+ } else {
+ if (show_hide_action) show_hide_action->setEnabled(true);
+ if (enableWallet) {
+ send_action->setEnabled(sendCoinsAction->isEnabled());
+ receive_action->setEnabled(receiveCoinsAction->isEnabled());
+ sign_action->setEnabled(signMessageAction->isEnabled());
+ verify_action->setEnabled(verifyMessageAction->isEnabled());
+ }
+ options_action->setEnabled(optionsAction->isEnabled());
+ node_window_action->setEnabled(openRPCConsoleAction->isEnabled());
+ if (quit_action) quit_action->setEnabled(true);
+ }
+ });
}
-#endif
void BitcoinGUI::optionsClicked()
{
@@ -829,8 +852,8 @@ void BitcoinGUI::aboutClicked()
if(!clientModel)
return;
- HelpMessageDialog dlg(this, true);
- dlg.exec();
+ auto dlg = new HelpMessageDialog(this, /* about */ true);
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
void BitcoinGUI::showDebugWindow()
@@ -853,7 +876,7 @@ void BitcoinGUI::showHelpMessageClicked()
#ifdef ENABLE_WALLET
void BitcoinGUI::openClicked()
{
- OpenURIDialog dlg(this);
+ OpenURIDialog dlg(platformStyle, this);
if(dlg.exec())
{
Q_EMIT receivedURI(dlg.getURI());
@@ -915,17 +938,21 @@ void BitcoinGUI::updateNetworkState()
QString tooltip;
if (m_node.getNetworkActive()) {
- tooltip = tr("%n active connection(s) to Bitcoin network", "", count) + QString(".<br>") + tr("Click to disable network activity.");
+ //: A substring of the tooltip.
+ tooltip = tr("%n active connection(s) to Bitcoin network.", "", count);
} else {
- tooltip = tr("Network activity disabled.") + QString("<br>") + tr("Click to enable network activity again.");
+ //: A substring of the tooltip.
+ tooltip = tr("Network activity disabled.");
icon = ":/icons/network_disabled";
}
// Don't word-wrap this (fixed-width) tooltip
- tooltip = QString("<nobr>") + tooltip + QString("</nobr>");
+ tooltip = QLatin1String("<nobr>") + tooltip + QLatin1String("<br>") +
+ //: A substring of the tooltip. "More actions" are available via the context menu.
+ tr("Click for more actions.") + QLatin1String("</nobr>");
connectionsControl->setToolTip(tooltip);
- connectionsControl->setPixmap(platformStyle->SingleColorIcon(icon).pixmap(STATUSBAR_ICONSIZE,STATUSBAR_ICONSIZE));
+ connectionsControl->setThemedPixmap(icon, STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE);
}
void BitcoinGUI::setNumConnections(int count)
@@ -933,9 +960,24 @@ void BitcoinGUI::setNumConnections(int count)
updateNetworkState();
}
-void BitcoinGUI::setNetworkActive(bool networkActive)
+void BitcoinGUI::setNetworkActive(bool network_active)
{
updateNetworkState();
+ m_network_context_menu->clear();
+ m_network_context_menu->addAction(
+ //: A context menu item. The "Peers tab" is an element of the "Node window".
+ tr("Show Peers tab"),
+ [this] {
+ rpcConsole->setTabFocus(RPCConsole::TabTypes::PEERS);
+ showDebugWindow();
+ });
+ m_network_context_menu->addAction(
+ network_active ?
+ //: A context menu item.
+ tr("Disable network activity") :
+ //: A context menu item. The network activity was disabled previously.
+ tr("Enable network activity"),
+ [this, new_state = !network_active] { m_node.setNetworkActive(new_state); });
}
void BitcoinGUI::updateHeadersSyncProgressLabel()
@@ -944,7 +986,7 @@ void BitcoinGUI::updateHeadersSyncProgressLabel()
int headersTipHeight = clientModel->getHeaderTipHeight();
int estHeadersLeft = (GetTime() - headersTipTime) / Params().GetConsensus().nPowTargetSpacing;
if (estHeadersLeft > HEADER_HEIGHT_DELTA_SYNC)
- progressBarLabel->setText(tr("Syncing Headers (%1%)...").arg(QString::number(100.0 / (headersTipHeight+estHeadersLeft)*headersTipHeight, 'f', 1)));
+ progressBarLabel->setText(tr("Syncing Headers (%1%)…").arg(QString::number(100.0 / (headersTipHeight+estHeadersLeft)*headersTipHeight, 'f', 1)));
}
void BitcoinGUI::openOptionsDialogWithTab(OptionsDialog::Tab tab)
@@ -952,10 +994,11 @@ void BitcoinGUI::openOptionsDialogWithTab(OptionsDialog::Tab tab)
if (!clientModel || !clientModel->getOptionsModel())
return;
- OptionsDialog dlg(this, enableWallet);
- dlg.setCurrentTab(tab);
- dlg.setModel(clientModel->getOptionsModel());
- dlg.exec();
+ auto dlg = new OptionsDialog(this, enableWallet);
+ connect(dlg, &OptionsDialog::quitOnReset, this, &BitcoinGUI::quitRequested);
+ dlg->setCurrentTab(tab);
+ dlg->setModel(clientModel->getOptionsModel());
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
void BitcoinGUI::setNumBlocks(int count, const QDateTime& blockDate, double nVerificationProgress, bool header, SynchronizationState sync_state)
@@ -990,24 +1033,24 @@ void BitcoinGUI::setNumBlocks(int count, const QDateTime& blockDate, double nVer
updateHeadersSyncProgressLabel();
return;
}
- progressBarLabel->setText(tr("Synchronizing with network..."));
+ progressBarLabel->setText(tr("Synchronizing with network…"));
updateHeadersSyncProgressLabel();
break;
case BlockSource::DISK:
if (header) {
- progressBarLabel->setText(tr("Indexing blocks on disk..."));
+ progressBarLabel->setText(tr("Indexing blocks on disk…"));
} else {
- progressBarLabel->setText(tr("Processing blocks on disk..."));
+ progressBarLabel->setText(tr("Processing blocks on disk…"));
}
break;
case BlockSource::REINDEX:
- progressBarLabel->setText(tr("Reindexing blocks on disk..."));
+ progressBarLabel->setText(tr("Reindexing blocks on disk…"));
break;
case BlockSource::NONE:
if (header) {
return;
}
- progressBarLabel->setText(tr("Connecting to peers..."));
+ progressBarLabel->setText(tr("Connecting to peers…"));
break;
}
@@ -1021,7 +1064,7 @@ void BitcoinGUI::setNumBlocks(int count, const QDateTime& blockDate, double nVer
// Set icon state: spinning if catching up, tick otherwise
if (secs < MAX_BLOCK_TIME_GAP) {
tooltip = tr("Up to date") + QString(".<br>") + tooltip;
- labelBlocksIcon->setPixmap(platformStyle->SingleColorIcon(":/icons/synced").pixmap(STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE));
+ labelBlocksIcon->setThemedPixmap(QStringLiteral(":/icons/synced"), STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE);
#ifdef ENABLE_WALLET
if(walletFrame)
@@ -1044,12 +1087,12 @@ void BitcoinGUI::setNumBlocks(int count, const QDateTime& blockDate, double nVer
progressBar->setValue(nVerificationProgress * 1000000000.0 + 0.5);
progressBar->setVisible(true);
- tooltip = tr("Catching up...") + QString("<br>") + tooltip;
+ tooltip = tr("Catching up…") + QString("<br>") + tooltip;
if(count != prevBlocks)
{
- labelBlocksIcon->setPixmap(platformStyle->SingleColorIcon(QString(
- ":/animation/spinner-%1").arg(spinnerFrame, 3, 10, QChar('0')))
- .pixmap(STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE));
+ labelBlocksIcon->setThemedPixmap(
+ QString(":/animation/spinner-%1").arg(spinnerFrame, 3, 10, QChar('0')),
+ STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE);
spinnerFrame = (spinnerFrame + 1) % SPINNER_FRAMES;
}
prevBlocks = count;
@@ -1138,7 +1181,15 @@ void BitcoinGUI::message(const QString& title, QString message, unsigned int sty
void BitcoinGUI::changeEvent(QEvent *e)
{
+ if (e->type() == QEvent::PaletteChange) {
+ overviewAction->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/overview")));
+ sendCoinsAction->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/send")));
+ receiveCoinsAction->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/receiving_addresses")));
+ historyAction->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/history")));
+ }
+
QMainWindow::changeEvent(e);
+
#ifndef Q_OS_MAC // Ignored on Mac
if(e->type() == QEvent::WindowStateChange)
{
@@ -1170,7 +1221,7 @@ void BitcoinGUI::closeEvent(QCloseEvent *event)
// close rpcConsole in case it was open to make some space for the shutdown window
rpcConsole->close();
- QApplication::quit();
+ Q_EMIT quitRequested();
}
else
{
@@ -1197,7 +1248,7 @@ void BitcoinGUI::incomingTransaction(const QString& date, int unit, const CAmoun
// On new transaction, make an info balloon
QString msg = tr("Date: %1\n").arg(date) +
tr("Amount: %1\n").arg(BitcoinUnits::formatWithUnit(unit, amount, true));
- if (m_node.walletClient().getWallets().size() > 1 && !walletName.isEmpty()) {
+ if (m_node.walletLoader().getWallets().size() > 1 && !walletName.isEmpty()) {
msg += tr("Wallet: %1\n").arg(walletName);
}
msg += tr("Type: %1\n").arg(type);
@@ -1256,11 +1307,9 @@ bool BitcoinGUI::handlePaymentRequest(const SendCoinsRecipient& recipient)
void BitcoinGUI::setHDStatus(bool privkeyDisabled, int hdEnabled)
{
- labelWalletHDStatusIcon->setPixmap(platformStyle->SingleColorIcon(privkeyDisabled ? ":/icons/eye" : hdEnabled ? ":/icons/hd_enabled" : ":/icons/hd_disabled").pixmap(STATUSBAR_ICONSIZE,STATUSBAR_ICONSIZE));
+ labelWalletHDStatusIcon->setThemedPixmap(privkeyDisabled ? QStringLiteral(":/icons/eye") : hdEnabled ? QStringLiteral(":/icons/hd_enabled") : QStringLiteral(":/icons/hd_disabled"), STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE);
labelWalletHDStatusIcon->setToolTip(privkeyDisabled ? tr("Private key <b>disabled</b>") : hdEnabled ? tr("HD key generation is <b>enabled</b>") : tr("HD key generation is <b>disabled</b>"));
labelWalletHDStatusIcon->show();
- // eventually disable the QLabel to set its opacity to 50%
- labelWalletHDStatusIcon->setEnabled(hdEnabled);
}
void BitcoinGUI::setEncryptionStatus(int status)
@@ -1275,7 +1324,7 @@ void BitcoinGUI::setEncryptionStatus(int status)
break;
case WalletModel::Unlocked:
labelWalletEncryptionIcon->show();
- labelWalletEncryptionIcon->setPixmap(platformStyle->SingleColorIcon(":/icons/lock_open").pixmap(STATUSBAR_ICONSIZE,STATUSBAR_ICONSIZE));
+ labelWalletEncryptionIcon->setThemedPixmap(QStringLiteral(":/icons/lock_open"), STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE);
labelWalletEncryptionIcon->setToolTip(tr("Wallet is <b>encrypted</b> and currently <b>unlocked</b>"));
encryptWalletAction->setChecked(true);
changePassphraseAction->setEnabled(true);
@@ -1283,7 +1332,7 @@ void BitcoinGUI::setEncryptionStatus(int status)
break;
case WalletModel::Locked:
labelWalletEncryptionIcon->show();
- labelWalletEncryptionIcon->setPixmap(platformStyle->SingleColorIcon(":/icons/lock_closed").pixmap(STATUSBAR_ICONSIZE,STATUSBAR_ICONSIZE));
+ labelWalletEncryptionIcon->setThemedPixmap(QStringLiteral(":/icons/lock_closed"), STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE);
labelWalletEncryptionIcon->setToolTip(tr("Wallet is <b>encrypted</b> and currently <b>locked</b>"));
encryptWalletAction->setChecked(true);
changePassphraseAction->setEnabled(true);
@@ -1294,9 +1343,8 @@ void BitcoinGUI::setEncryptionStatus(int status)
void BitcoinGUI::updateWalletStatus()
{
- if (!walletFrame) {
- return;
- }
+ assert(walletFrame);
+
WalletView * const walletView = walletFrame->currentWalletView();
if (!walletView) {
return;
@@ -1315,7 +1363,7 @@ void BitcoinGUI::updateProxyIcon()
if (proxy_enabled) {
if (!GUIUtil::HasPixmap(labelProxyIcon)) {
QString ip_port_q = QString::fromStdString(ip_port);
- labelProxyIcon->setPixmap(platformStyle->SingleColorIcon(":/icons/proxy").pixmap(STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE));
+ labelProxyIcon->setThemedPixmap((":/icons/proxy"), STATUSBAR_ICONSIZE, STATUSBAR_ICONSIZE);
labelProxyIcon->setToolTip(tr("Proxy is <b>enabled</b>: %1").arg(ip_port_q));
} else {
labelProxyIcon->show();
@@ -1365,7 +1413,7 @@ void BitcoinGUI::detectShutdown()
{
if(rpcConsole)
rpcConsole->hide();
- qApp->quit();
+ Q_EMIT quitRequested();
}
}
@@ -1375,7 +1423,6 @@ void BitcoinGUI::showProgress(const QString &title, int nProgress)
progressDialog = new QProgressDialog(title, QString(), 0, 100);
GUIUtil::PolishProgressDialog(progressDialog);
progressDialog->setWindowModality(Qt::ApplicationModal);
- progressDialog->setMinimumDuration(0);
progressDialog->setAutoClose(false);
progressDialog->setValue(0);
} else if (nProgress == 100) {
@@ -1440,9 +1487,10 @@ bool BitcoinGUI::isPrivacyModeActivated() const
return m_mask_values_action->isChecked();
}
-UnitDisplayStatusBarControl::UnitDisplayStatusBarControl(const PlatformStyle *platformStyle) :
- optionsModel(nullptr),
- menu(nullptr)
+UnitDisplayStatusBarControl::UnitDisplayStatusBarControl(const PlatformStyle *platformStyle)
+ : optionsModel(nullptr),
+ menu(nullptr),
+ m_platform_style{platformStyle}
{
createContextMenu();
setToolTip(tr("Unit to show amounts in. Click to select another unit."));
@@ -1455,7 +1503,7 @@ UnitDisplayStatusBarControl::UnitDisplayStatusBarControl(const PlatformStyle *pl
}
setMinimumSize(max_width, 0);
setAlignment(Qt::AlignRight | Qt::AlignVCenter);
- setStyleSheet(QString("QLabel { color : %1 }").arg(platformStyle->SingleColor().name()));
+ setStyleSheet(QString("QLabel { color : %1 }").arg(m_platform_style->SingleColor().name()));
}
/** So that it responds to button clicks */
@@ -1464,15 +1512,24 @@ void UnitDisplayStatusBarControl::mousePressEvent(QMouseEvent *event)
onDisplayUnitsClicked(event->pos());
}
+void UnitDisplayStatusBarControl::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ QString style = QString("QLabel { color : %1 }").arg(m_platform_style->SingleColor().name());
+ if (style != styleSheet()) {
+ setStyleSheet(style);
+ }
+ }
+
+ QLabel::changeEvent(e);
+}
+
/** Creates context menu, its actions, and wires up all the relevant signals for mouse events. */
void UnitDisplayStatusBarControl::createContextMenu()
{
menu = new QMenu(this);
- for (const BitcoinUnits::Unit u : BitcoinUnits::availableUnits())
- {
- QAction *menuAction = new QAction(QString(BitcoinUnits::longName(u)), this);
- menuAction->setData(QVariant(u));
- menu->addAction(menuAction);
+ for (const BitcoinUnits::Unit u : BitcoinUnits::availableUnits()) {
+ menu->addAction(BitcoinUnits::longName(u))->setData(QVariant(u));
}
connect(menu, &QMenu::triggered, this, &UnitDisplayStatusBarControl::onMenuSelection);
}
diff --git a/src/qt/bitcoingui.h b/src/qt/bitcoingui.h
index 147f19e68d..0ae5f7331e 100644
--- a/src/qt/bitcoingui.h
+++ b/src/qt/bitcoingui.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,13 +9,15 @@
#include <config/bitcoin-config.h>
#endif
+#include <qt/guiutil.h>
#include <qt/optionsdialog.h>
-#include <amount.h>
+#include <consensus/amount.h>
#include <QLabel>
#include <QMainWindow>
#include <QMap>
+#include <QMenu>
#include <QPoint>
#include <QSystemTrayIcon>
@@ -50,7 +52,6 @@ QT_BEGIN_NAMESPACE
class QAction;
class QComboBox;
class QDateTime;
-class QMenu;
class QProgressBar;
class QProgressDialog;
QT_END_NAMESPACE
@@ -121,8 +122,8 @@ private:
WalletFrame* walletFrame = nullptr;
UnitDisplayStatusBarControl* unitDisplayControl = nullptr;
- QLabel* labelWalletEncryptionIcon = nullptr;
- QLabel* labelWalletHDStatusIcon = nullptr;
+ GUIUtil::ThemedLabel* labelWalletEncryptionIcon = nullptr;
+ GUIUtil::ThemedLabel* labelWalletHDStatusIcon = nullptr;
GUIUtil::ClickableLabel* labelProxyIcon = nullptr;
GUIUtil::ClickableLabel* connectionsControl = nullptr;
GUIUtil::ClickableLabel* labelBlocksIcon = nullptr;
@@ -136,7 +137,6 @@ private:
QAction* historyAction = nullptr;
QAction* quitAction = nullptr;
QAction* sendCoinsAction = nullptr;
- QAction* sendCoinsMenuAction = nullptr;
QAction* usedSendingAddressesAction = nullptr;
QAction* usedReceivingAddressesAction = nullptr;
QAction* signMessageAction = nullptr;
@@ -145,9 +145,7 @@ private:
QAction* m_load_psbt_clipboard_action = nullptr;
QAction* aboutAction = nullptr;
QAction* receiveCoinsAction = nullptr;
- QAction* receiveCoinsMenuAction = nullptr;
QAction* optionsAction = nullptr;
- QAction* toggleHideAction = nullptr;
QAction* encryptWalletAction = nullptr;
QAction* backupWalletAction = nullptr;
QAction* changePassphraseAction = nullptr;
@@ -174,6 +172,8 @@ private:
HelpMessageDialog* helpMessageDialog = nullptr;
ModalOverlay* modalOverlay = nullptr;
+ QMenu* m_network_context_menu = new QMenu(this);
+
#ifdef Q_OS_MAC
CAppNapInhibitor* m_app_nap_inhibitor = nullptr;
#endif
@@ -211,6 +211,7 @@ private:
void openOptionsDialogWithTab(OptionsDialog::Tab tab);
Q_SIGNALS:
+ void quitRequested();
/** Signal raised when a URI was entered or dragged to the GUI */
void receivedURI(const QString &uri);
/** Signal raised when RPC console shown */
@@ -221,7 +222,7 @@ public Q_SLOTS:
/** Set number of connections shown in the UI */
void setNumConnections(int count);
/** Set network state shown in the UI */
- void setNetworkActive(bool networkActive);
+ void setNetworkActive(bool network_active);
/** Set number of blocks and last block date shown in the UI */
void setNumBlocks(int count, const QDateTime& blockDate, double nVerificationProgress, bool headers, SynchronizationState sync_state);
@@ -298,13 +299,6 @@ public Q_SLOTS:
void showDebugWindowActivateConsole();
/** Show help message dialog */
void showHelpMessageClicked();
-#ifndef Q_OS_MAC
- /** Handle tray icon clicked */
- void trayIconActivated(QSystemTrayIcon::ActivationReason reason);
-#else
- /** Handle macOS Dock icon clicked */
- void macosDockIconActivated();
-#endif
/** Show window if hidden, unminimize when minimized, rise when obscured or show if hidden and fToggleHidden is true */
void showNormalIfMinimized() { showNormalIfMinimized(false); }
@@ -333,10 +327,12 @@ public:
protected:
/** So that it responds to left-button clicks */
void mousePressEvent(QMouseEvent *event) override;
+ void changeEvent(QEvent* e) override;
private:
OptionsModel *optionsModel;
QMenu* menu;
+ const PlatformStyle* m_platform_style;
/** Shows context menu with Display Unit options by the mouse coordinates */
void onDisplayUnitsClicked(const QPoint& point);
diff --git a/src/qt/bitcoinstrings.cpp b/src/qt/bitcoinstrings.cpp
index 27e512d075..90b15f3898 100644
--- a/src/qt/bitcoinstrings.cpp
+++ b/src/qt/bitcoinstrings.cpp
@@ -17,13 +17,17 @@ QT_TRANSLATE_NOOP("bitcoin-core", ""
"-maxtxfee is set very high! Fees this large could be paid on a single "
"transaction."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Cannot downgrade wallet from version %i to version %i. Wallet version "
+"unchanged."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"Cannot obtain a lock on data directory %s. %s is probably already running."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
"Cannot provide specific connections and have addrman find outgoing "
"connections at the same."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
-"Cannot upgrade a non HD split wallet without upgrading to support pre split "
-"keypool. Please use version 169900 or no version specified."),
+"Cannot upgrade a non HD split wallet from version %i to version %i without "
+"upgrading to support pre-split keypool. Please use version %i or no version "
+"specified."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
"Distributed under the MIT software license, see the accompanying file %s or "
"%s"),
@@ -31,17 +35,45 @@ QT_TRANSLATE_NOOP("bitcoin-core", ""
"Error reading %s! All keys read correctly, but transaction data or address "
"book entries might be missing or incorrect."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Error reading %s! Transaction data may be missing or incorrect. Rescanning "
+"wallet."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Error: Dumpfile format record is incorrect. Got \"%s\", expected \"format\"."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Error: Dumpfile identifier record is incorrect. Got \"%s\", expected \"%s\"."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Error: Dumpfile version is not supported. This version of bitcoin-wallet "
+"only supports version 1 dumpfiles. Got dumpfile with version %s"),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Error: Legacy wallets only support the \"legacy\", \"p2sh-segwit\", and "
+"\"bech32\" address types"),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"Error: Listening for incoming connections failed (listen returned error %s)"),
QT_TRANSLATE_NOOP("bitcoin-core", ""
"Fee estimation failed. Fallbackfee is disabled. Wait a few blocks or enable -"
"fallbackfee."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"File %s already exists. If you are sure this is what you want, move it out "
+"of the way first."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"Invalid amount for -maxtxfee=<amount>: '%s' (must be at least the minrelay "
"fee of %s to prevent stuck transactions)"),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Invalid or corrupt peers.dat (%s). If you believe this is a bug, please "
+"report it to %s. As a workaround, you can move the file (%s) out of the way "
+"(rename, move, or delete) to have a new one created on the next start."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"More than one onion bind address is provided. Using %s for the automatically "
"created Tor onion service."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"No dump file provided. To use createfromdump, -dumpfile=<filename> must be "
+"provided."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
+"No dump file provided. To use dump, -dumpfile=<filename> must be provided."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
+"No wallet file format provided. To use createfromdump, -format=<format> must "
+"be provided."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"Please check that your computer's date and time are correct! If your clock "
"is wrong, %s will not work properly."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
@@ -53,20 +85,21 @@ QT_TRANSLATE_NOOP("bitcoin-core", ""
"Prune: last wallet synchronisation goes beyond pruned data. You need to -"
"reindex (download the whole blockchain again in case of pruned node)"),
QT_TRANSLATE_NOOP("bitcoin-core", ""
-"SQLiteDatabase: Failed to prepare the statement to fetch sqlite wallet "
-"schema version: %s"),
-QT_TRANSLATE_NOOP("bitcoin-core", ""
-"SQLiteDatabase: Failed to prepare the statement to fetch the application id: "
-"%s"),
-QT_TRANSLATE_NOOP("bitcoin-core", ""
"SQLiteDatabase: Unknown sqlite wallet schema version %d. Only version %d is "
"supported"),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"The -txindex upgrade started by a previous version can not be completed. "
+"Restart with the previous version or run a full -reindex."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"The block database contains a block which appears to be from the future. "
"This may be due to your computer's date and time being set incorrectly. Only "
"rebuild the block database if you are sure that your computer's date and "
"time are correct"),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"The block index db contains a legacy 'txindex'. To clear the occupied disk "
+"space, run a full -reindex, otherwise ignore this error. This error message "
+"will not be displayed again."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"The transaction amount is too small to send after the fee has been deducted"),
QT_TRANSLATE_NOOP("bitcoin-core", ""
"This error could occur if this wallet was not shutdown cleanly and was last "
@@ -87,30 +120,30 @@ QT_TRANSLATE_NOOP("bitcoin-core", ""
"Total length of network version string (%i) exceeds maximum length (%i). "
"Reduce the number or size of uacomments."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
-"Transaction needs a change address, but we can't generate it. Please call "
-"keypoolrefill first."),
-QT_TRANSLATE_NOOP("bitcoin-core", ""
"Unable to replay blocks. You will need to rebuild the database using -"
"reindex-chainstate."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
-"Unable to rewind the database to a pre-fork state. You will need to "
-"redownload the blockchain"),
+"Unknown wallet file format \"%s\" provided. Please provide one of \"bdb\" or "
+"\"sqlite\"."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
-"Warning: Private keys detected in wallet {%s} with disabled private keys"),
+"Warning: Dumpfile wallet format \"%s\" does not match command line specified "
+"format \"%s\"."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
-"Warning: The network does not appear to fully agree! Some miners appear to "
-"be experiencing issues."),
+"Warning: Private keys detected in wallet {%s} with disabled private keys"),
QT_TRANSLATE_NOOP("bitcoin-core", ""
"Warning: We do not appear to fully agree with our peers! You may need to "
"upgrade, or other nodes may need to upgrade."),
QT_TRANSLATE_NOOP("bitcoin-core", ""
+"Witness data for blocks after height %d requires validation. Please restart "
+"with -reindex."),
+QT_TRANSLATE_NOOP("bitcoin-core", ""
"You need to rebuild the database using -reindex to go back to unpruned "
"mode. This will redownload the entire blockchain"),
QT_TRANSLATE_NOOP("bitcoin-core", "%s is set very high!"),
QT_TRANSLATE_NOOP("bitcoin-core", "-maxmempool must be at least %d MB"),
QT_TRANSLATE_NOOP("bitcoin-core", "A fatal internal error occurred, see debug.log for details"),
-QT_TRANSLATE_NOOP("bitcoin-core", "Cannot downgrade wallet"),
QT_TRANSLATE_NOOP("bitcoin-core", "Cannot resolve -%s address: '%s'"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Cannot set -forcednsseed to true when setting -dnsseed to false."),
QT_TRANSLATE_NOOP("bitcoin-core", "Cannot set -peerblockfilters without -blockfilterindex."),
QT_TRANSLATE_NOOP("bitcoin-core", "Cannot write to data directory '%s'; check permissions."),
QT_TRANSLATE_NOOP("bitcoin-core", "Change index out of range"),
@@ -122,6 +155,8 @@ QT_TRANSLATE_NOOP("bitcoin-core", "Could not parse asmap file %s"),
QT_TRANSLATE_NOOP("bitcoin-core", "Disk space is too low!"),
QT_TRANSLATE_NOOP("bitcoin-core", "Do you want to rebuild the block database now?"),
QT_TRANSLATE_NOOP("bitcoin-core", "Done loading"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Dump file %s does not exist."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error creating %s"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error initializing block database"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error initializing wallet database environment %s!"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error loading %s"),
@@ -131,18 +166,29 @@ QT_TRANSLATE_NOOP("bitcoin-core", "Error loading %s: Wallet requires newer versi
QT_TRANSLATE_NOOP("bitcoin-core", "Error loading block database"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error opening block database"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error reading from database, shutting down."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error reading next record from wallet database"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error upgrading chainstate database"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: Couldn't create cursor into database"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error: Disk space is low for %s"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: Dumpfile checksum does not match. Computed %s, expected %s"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: Got key that was not hex: %s"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: Got value that was not hex: %s"),
QT_TRANSLATE_NOOP("bitcoin-core", "Error: Keypool ran out, please call keypoolrefill first"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: Missing checksum"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: No %s addresses available."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: Unable to parse version %u as a uint32_t"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Error: Unable to write record to new wallet"),
QT_TRANSLATE_NOOP("bitcoin-core", "Failed to listen on any port. Use -listen=0 if you want this."),
QT_TRANSLATE_NOOP("bitcoin-core", "Failed to rescan the wallet during initialization"),
QT_TRANSLATE_NOOP("bitcoin-core", "Failed to verify database"),
QT_TRANSLATE_NOOP("bitcoin-core", "Fee rate (%s) is lower than the minimum fee rate setting (%s)"),
QT_TRANSLATE_NOOP("bitcoin-core", "Ignoring duplicate -wallet %s."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Importing..."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Importing…"),
QT_TRANSLATE_NOOP("bitcoin-core", "Incorrect or no genesis block found. Wrong datadir for network?"),
QT_TRANSLATE_NOOP("bitcoin-core", "Initialization sanity check failed. %s is shutting down."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Input not found or already spent"),
QT_TRANSLATE_NOOP("bitcoin-core", "Insufficient funds"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Invalid -i2psam address or hostname: '%s'"),
QT_TRANSLATE_NOOP("bitcoin-core", "Invalid -onion address or hostname: '%s'"),
QT_TRANSLATE_NOOP("bitcoin-core", "Invalid -proxy address or hostname: '%s'"),
QT_TRANSLATE_NOOP("bitcoin-core", "Invalid P2P permission: '%s'"),
@@ -151,24 +197,24 @@ QT_TRANSLATE_NOOP("bitcoin-core", "Invalid amount for -discardfee=<amount>: '%s'
QT_TRANSLATE_NOOP("bitcoin-core", "Invalid amount for -fallbackfee=<amount>: '%s'"),
QT_TRANSLATE_NOOP("bitcoin-core", "Invalid amount for -paytxfee=<amount>: '%s' (must be at least %s)"),
QT_TRANSLATE_NOOP("bitcoin-core", "Invalid netmask specified in -whitelist: '%s'"),
-QT_TRANSLATE_NOOP("bitcoin-core", "Loading P2P addresses..."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Loading banlist..."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Loading block index..."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Loading wallet..."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Loading P2P addresses…"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Loading banlist…"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Loading block index…"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Loading wallet…"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Missing amount"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Missing solving data for estimating transaction size"),
QT_TRANSLATE_NOOP("bitcoin-core", "Need to specify a port with -whitebind: '%s'"),
+QT_TRANSLATE_NOOP("bitcoin-core", "No addresses available"),
QT_TRANSLATE_NOOP("bitcoin-core", "No proxy server specified. Use -proxy=<ip> or -proxy=<ip:port>."),
QT_TRANSLATE_NOOP("bitcoin-core", "Not enough file descriptors available."),
QT_TRANSLATE_NOOP("bitcoin-core", "Prune cannot be configured with a negative value."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Prune mode is incompatible with -blockfilterindex."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Prune mode is incompatible with -coinstatsindex."),
QT_TRANSLATE_NOOP("bitcoin-core", "Prune mode is incompatible with -txindex."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Pruning blockstore..."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Pruning blockstore…"),
QT_TRANSLATE_NOOP("bitcoin-core", "Reducing -maxconnections from %d to %d, because of system limitations."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Replaying blocks..."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Rescanning..."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Rewinding blocks..."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Replaying blocks…"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Rescanning…"),
QT_TRANSLATE_NOOP("bitcoin-core", "SQLiteDatabase: Failed to execute statement to verify database: %s"),
-QT_TRANSLATE_NOOP("bitcoin-core", "SQLiteDatabase: Failed to fetch sqlite wallet schema version: %s"),
-QT_TRANSLATE_NOOP("bitcoin-core", "SQLiteDatabase: Failed to fetch the application id: %s"),
QT_TRANSLATE_NOOP("bitcoin-core", "SQLiteDatabase: Failed to prepare statement to verify database: %s"),
QT_TRANSLATE_NOOP("bitcoin-core", "SQLiteDatabase: Failed to read database verification error: %s"),
QT_TRANSLATE_NOOP("bitcoin-core", "SQLiteDatabase: Unexpected application id. Expected %u, got %u"),
@@ -178,9 +224,9 @@ QT_TRANSLATE_NOOP("bitcoin-core", "Specified -walletdir \"%s\" does not exist"),
QT_TRANSLATE_NOOP("bitcoin-core", "Specified -walletdir \"%s\" is a relative path"),
QT_TRANSLATE_NOOP("bitcoin-core", "Specified -walletdir \"%s\" is not a directory"),
QT_TRANSLATE_NOOP("bitcoin-core", "Specified blocks directory \"%s\" does not exist."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Starting network threads..."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Starting network threads…"),
QT_TRANSLATE_NOOP("bitcoin-core", "The source code is available from %s."),
-QT_TRANSLATE_NOOP("bitcoin-core", "The specified config file %s does not exist\n"),
+QT_TRANSLATE_NOOP("bitcoin-core", "The specified config file %s does not exist"),
QT_TRANSLATE_NOOP("bitcoin-core", "The transaction amount is too small to pay the fee"),
QT_TRANSLATE_NOOP("bitcoin-core", "The wallet will avoid paying less than the minimum relay fee."),
QT_TRANSLATE_NOOP("bitcoin-core", "This is experimental software."),
@@ -188,26 +234,27 @@ QT_TRANSLATE_NOOP("bitcoin-core", "This is the minimum transaction fee you pay o
QT_TRANSLATE_NOOP("bitcoin-core", "This is the transaction fee you will pay if you send a transaction."),
QT_TRANSLATE_NOOP("bitcoin-core", "Transaction amount too small"),
QT_TRANSLATE_NOOP("bitcoin-core", "Transaction amounts must not be negative"),
-QT_TRANSLATE_NOOP("bitcoin-core", "Transaction fee and change calculation failed"),
QT_TRANSLATE_NOOP("bitcoin-core", "Transaction has too long of a mempool chain"),
QT_TRANSLATE_NOOP("bitcoin-core", "Transaction must have at least one recipient"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Transaction needs a change address, but we can't generate it."),
QT_TRANSLATE_NOOP("bitcoin-core", "Transaction too large"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unable to bind to %s on this computer (bind returned error %s)"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unable to bind to %s on this computer. %s is probably already running."),
QT_TRANSLATE_NOOP("bitcoin-core", "Unable to create the PID file '%s': %s"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unable to generate initial keys"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unable to generate keys"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Unable to open %s for writing"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Unable to parse -maxuploadtarget: '%s'"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unable to start HTTP server. See debug log for details."),
QT_TRANSLATE_NOOP("bitcoin-core", "Unknown -blockfilterindex value %s."),
QT_TRANSLATE_NOOP("bitcoin-core", "Unknown address type '%s'"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unknown change type '%s'"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unknown network specified in -onlynet: '%s'"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Unknown new rules activated (versionbit %i)"),
QT_TRANSLATE_NOOP("bitcoin-core", "Unsupported logging category %s=%s."),
QT_TRANSLATE_NOOP("bitcoin-core", "Upgrading UTXO database"),
-QT_TRANSLATE_NOOP("bitcoin-core", "Upgrading txindex database"),
QT_TRANSLATE_NOOP("bitcoin-core", "User Agent comment (%s) contains unsafe characters."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Verifying blocks..."),
-QT_TRANSLATE_NOOP("bitcoin-core", "Verifying wallet(s)..."),
+QT_TRANSLATE_NOOP("bitcoin-core", "Verifying blocks…"),
+QT_TRANSLATE_NOOP("bitcoin-core", "Verifying wallet(s)…"),
QT_TRANSLATE_NOOP("bitcoin-core", "Wallet needed to be rewritten: restart %s to complete"),
-QT_TRANSLATE_NOOP("bitcoin-core", "Warning: unknown new rules activated (versionbit %i)"),
};
diff --git a/src/qt/bitcoinunits.cpp b/src/qt/bitcoinunits.cpp
index 9660ba99f7..69caf64d5c 100644
--- a/src/qt/bitcoinunits.cpp
+++ b/src/qt/bitcoinunits.cpp
@@ -1,9 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <qt/bitcoinunits.h>
+#include <consensus/amount.h>
+
#include <QStringList>
#include <cassert>
diff --git a/src/qt/bitcoinunits.h b/src/qt/bitcoinunits.h
index e22ba0a938..9fedec0d4f 100644
--- a/src/qt/bitcoinunits.h
+++ b/src/qt/bitcoinunits.h
@@ -1,11 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_BITCOINUNITS_H
#define BITCOIN_QT_BITCOINUNITS_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <QAbstractListModel>
#include <QString>
diff --git a/src/qt/clientmodel.cpp b/src/qt/clientmodel.cpp
index 56813b2d19..a28329082a 100644
--- a/src/qt/clientmodel.cpp
+++ b/src/qt/clientmodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,6 +8,7 @@
#include <qt/guiconstants.h>
#include <qt/guiutil.h>
#include <qt/peertablemodel.h>
+#include <qt/peertablesortproxy.h>
#include <clientversion.h>
#include <interfaces/handler.h>
@@ -16,6 +17,7 @@
#include <netbase.h>
#include <util/system.h>
#include <util/threadnames.h>
+#include <util/time.h>
#include <validation.h>
#include <stdint.h>
@@ -38,7 +40,11 @@ ClientModel::ClientModel(interfaces::Node& node, OptionsModel *_optionsModel, QO
{
cachedBestHeaderHeight = -1;
cachedBestHeaderTime = -1;
+
peerTableModel = new PeerTableModel(m_node, this);
+ m_peer_table_sort_proxy = new PeerTableSortProxy(this);
+ m_peer_table_sort_proxy->setSourceModel(peerTableModel);
+
banTableModel = new BanTableModel(m_node, this);
QTimer* timer = new QTimer;
@@ -71,14 +77,14 @@ ClientModel::~ClientModel()
int ClientModel::getNumConnections(unsigned int flags) const
{
- CConnman::NumConnections connections = CConnman::CONNECTIONS_NONE;
+ ConnectionDirection connections = ConnectionDirection::None;
if(flags == CONNECTIONS_IN)
- connections = CConnman::CONNECTIONS_IN;
+ connections = ConnectionDirection::In;
else if (flags == CONNECTIONS_OUT)
- connections = CConnman::CONNECTIONS_OUT;
+ connections = ConnectionDirection::Out;
else if (flags == CONNECTIONS_ALL)
- connections = CConnman::CONNECTIONS_ALL;
+ connections = ConnectionDirection::Both;
return m_node.getNodeCount(connections);
}
@@ -184,6 +190,11 @@ PeerTableModel *ClientModel::getPeerTableModel()
return peerTableModel;
}
+PeerTableSortProxy* ClientModel::peerTableSortProxy()
+{
+ return m_peer_table_sort_proxy;
+}
+
BanTableModel *ClientModel::getBanTableModel()
{
return banTableModel;
@@ -206,17 +217,17 @@ bool ClientModel::isReleaseVersion() const
QString ClientModel::formatClientStartupTime() const
{
- return QDateTime::fromTime_t(GetStartupTime()).toString();
+ return QDateTime::fromSecsSinceEpoch(GetStartupTime()).toString();
}
QString ClientModel::dataDir() const
{
- return GUIUtil::boostPathToQString(GetDataDir());
+ return GUIUtil::PathToQString(gArgs.GetDataDirNet());
}
QString ClientModel::blocksDir() const
{
- return GUIUtil::boostPathToQString(GetBlocksDir());
+ return GUIUtil::PathToQString(gArgs.GetBlocksDirPath());
}
void ClientModel::updateBanlist()
@@ -278,13 +289,13 @@ static void BlockTipChanged(ClientModel* clientmodel, SynchronizationState sync_
const bool throttle = (sync_state != SynchronizationState::POST_INIT && !fHeader) || sync_state == SynchronizationState::INIT_REINDEX;
const int64_t now = throttle ? GetTimeMillis() : 0;
int64_t& nLastUpdateNotification = fHeader ? nLastHeaderTipUpdateNotification : nLastBlockTipUpdateNotification;
- if (throttle && now < nLastUpdateNotification + MODEL_UPDATE_DELAY) {
+ if (throttle && now < nLastUpdateNotification + count_milliseconds(MODEL_UPDATE_DELAY)) {
return;
}
bool invoked = QMetaObject::invokeMethod(clientmodel, "numBlocksChanged", Qt::QueuedConnection,
Q_ARG(int, tip.block_height),
- Q_ARG(QDateTime, QDateTime::fromTime_t(tip.block_time)),
+ Q_ARG(QDateTime, QDateTime::fromSecsSinceEpoch(tip.block_time)),
Q_ARG(double, verificationProgress),
Q_ARG(bool, fHeader),
Q_ARG(SynchronizationState, sync_state));
diff --git a/src/qt/clientmodel.h b/src/qt/clientmodel.h
index 7ac4cc040b..846691c0c0 100644
--- a/src/qt/clientmodel.h
+++ b/src/qt/clientmodel.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -17,6 +17,7 @@ class BanTableModel;
class CBlockIndex;
class OptionsModel;
class PeerTableModel;
+class PeerTableSortProxy;
enum class SynchronizationState;
namespace interfaces {
@@ -54,6 +55,7 @@ public:
interfaces::Node& node() const { return m_node; }
OptionsModel *getOptionsModel();
PeerTableModel *getPeerTableModel();
+ PeerTableSortProxy* peerTableSortProxy();
BanTableModel *getBanTableModel();
//! Return number of connections, default is in- and outbound (total)
@@ -96,6 +98,7 @@ private:
std::unique_ptr<interfaces::Handler> m_handler_notify_header_tip;
OptionsModel *optionsModel;
PeerTableModel *peerTableModel;
+ PeerTableSortProxy* m_peer_table_sort_proxy{nullptr};
BanTableModel *banTableModel;
//! A thread to interact with m_node asynchronously
diff --git a/src/qt/coincontroldialog.cpp b/src/qt/coincontroldialog.cpp
index ca78c96d70..d7a2aaaf19 100644
--- a/src/qt/coincontroldialog.cpp
+++ b/src/qt/coincontroldialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -31,6 +31,9 @@
#include <QSettings>
#include <QTreeWidget>
+using wallet::CCoinControl;
+using wallet::MIN_CHANGE;
+
QList<CAmount> CoinControlDialog::payAmounts;
bool CoinControlDialog::fSubtractFeeFromAmount = false;
@@ -50,32 +53,16 @@ CoinControlDialog::CoinControlDialog(CCoinControl& coin_control, WalletModel* _m
{
ui->setupUi(this);
- // context menu actions
- QAction *copyAddressAction = new QAction(tr("Copy address"), this);
- QAction *copyLabelAction = new QAction(tr("Copy label"), this);
- QAction *copyAmountAction = new QAction(tr("Copy amount"), this);
- copyTransactionHashAction = new QAction(tr("Copy transaction ID"), this); // we need to enable/disable this
- lockAction = new QAction(tr("Lock unspent"), this); // we need to enable/disable this
- unlockAction = new QAction(tr("Unlock unspent"), this); // we need to enable/disable this
-
// context menu
contextMenu = new QMenu(this);
- contextMenu->addAction(copyAddressAction);
- contextMenu->addAction(copyLabelAction);
- contextMenu->addAction(copyAmountAction);
- contextMenu->addAction(copyTransactionHashAction);
+ contextMenu->addAction(tr("&Copy address"), this, &CoinControlDialog::copyAddress);
+ contextMenu->addAction(tr("Copy &label"), this, &CoinControlDialog::copyLabel);
+ contextMenu->addAction(tr("Copy &amount"), this, &CoinControlDialog::copyAmount);
+ m_copy_transaction_outpoint_action = contextMenu->addAction(tr("Copy transaction &ID and output index"), this, &CoinControlDialog::copyTransactionOutpoint);
contextMenu->addSeparator();
- contextMenu->addAction(lockAction);
- contextMenu->addAction(unlockAction);
-
- // context menu signals
+ lockAction = contextMenu->addAction(tr("L&ock unspent"), this, &CoinControlDialog::lockCoin);
+ unlockAction = contextMenu->addAction(tr("&Unlock unspent"), this, &CoinControlDialog::unlockCoin);
connect(ui->treeWidget, &QWidget::customContextMenuRequested, this, &CoinControlDialog::showMenu);
- connect(copyAddressAction, &QAction::triggered, this, &CoinControlDialog::copyAddress);
- connect(copyLabelAction, &QAction::triggered, this, &CoinControlDialog::copyLabel);
- connect(copyAmountAction, &QAction::triggered, this, &CoinControlDialog::copyAmount);
- connect(copyTransactionHashAction, &QAction::triggered, this, &CoinControlDialog::copyTransactionHash);
- connect(lockAction, &QAction::triggered, this, &CoinControlDialog::lockCoin);
- connect(unlockAction, &QAction::triggered, this, &CoinControlDialog::unlockCoin);
// clipboard actions
QAction *clipboardQuantityAction = new QAction(tr("Copy quantity"), this);
@@ -196,7 +183,7 @@ void CoinControlDialog::showMenu(const QPoint &point)
// disable some items (like Copy Transaction ID, lock, unlock) for tree roots in context menu
if (item->data(COLUMN_ADDRESS, TxHashRole).toString().length() == 64) // transaction hash is 64 characters (this means it is a child node, so it is not a parent node in tree mode)
{
- copyTransactionHashAction->setEnabled(true);
+ m_copy_transaction_outpoint_action->setEnabled(true);
if (model->wallet().isLockedCoin(COutPoint(uint256S(item->data(COLUMN_ADDRESS, TxHashRole).toString().toStdString()), item->data(COLUMN_ADDRESS, VOutRole).toUInt())))
{
lockAction->setEnabled(false);
@@ -210,7 +197,7 @@ void CoinControlDialog::showMenu(const QPoint &point)
}
else // this means click on parent node in tree mode -> disable all
{
- copyTransactionHashAction->setEnabled(false);
+ m_copy_transaction_outpoint_action->setEnabled(false);
lockAction->setEnabled(false);
unlockAction->setEnabled(false);
}
@@ -244,10 +231,14 @@ void CoinControlDialog::copyAddress()
GUIUtil::setClipboard(contextMenuItem->text(COLUMN_ADDRESS));
}
-// context menu action: copy transaction id
-void CoinControlDialog::copyTransactionHash()
+// context menu action: copy transaction id and vout index
+void CoinControlDialog::copyTransactionOutpoint()
{
- GUIUtil::setClipboard(contextMenuItem->data(COLUMN_ADDRESS, TxHashRole).toString());
+ const QString address = contextMenuItem->data(COLUMN_ADDRESS, TxHashRole).toString();
+ const QString vout = contextMenuItem->data(COLUMN_ADDRESS, VOutRole).toString();
+ const QString outpoint = QString("%1:%2").arg(address).arg(vout);
+
+ GUIUtil::setClipboard(outpoint);
}
// context menu action: lock coin
@@ -257,7 +248,7 @@ void CoinControlDialog::lockCoin()
contextMenuItem->setCheckState(COLUMN_CHECKBOX, Qt::Unchecked);
COutPoint outpt(uint256S(contextMenuItem->data(COLUMN_ADDRESS, TxHashRole).toString().toStdString()), contextMenuItem->data(COLUMN_ADDRESS, VOutRole).toUInt());
- model->wallet().lockCoin(outpt);
+ model->wallet().lockCoin(outpt, /* write_to_db = */ true);
contextMenuItem->setDisabled(true);
contextMenuItem->setIcon(COLUMN_CHECKBOX, platformStyle->SingleColorIcon(":/icons/lock_closed"));
updateLabelLocked();
@@ -578,6 +569,15 @@ void CoinControlDialog::updateLabels(CCoinControl& m_coin_control, WalletModel *
label->setVisible(nChange < 0);
}
+void CoinControlDialog::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ updateView();
+ }
+
+ QDialog::changeEvent(e);
+}
+
void CoinControlDialog::updateView()
{
if (!model || !model->getOptionsModel() || !model->getAddressTableModel())
diff --git a/src/qt/coincontroldialog.h b/src/qt/coincontroldialog.h
index 6ceb3de61d..ccceff10e8 100644
--- a/src/qt/coincontroldialog.h
+++ b/src/qt/coincontroldialog.h
@@ -1,11 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_COINCONTROLDIALOG_H
#define BITCOIN_QT_COINCONTROLDIALOG_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <QAbstractButton>
#include <QAction>
@@ -19,7 +19,9 @@
class PlatformStyle;
class WalletModel;
+namespace wallet {
class CCoinControl;
+} // namespace wallet
namespace Ui {
class CoinControlDialog;
@@ -42,25 +44,28 @@ class CoinControlDialog : public QDialog
Q_OBJECT
public:
- explicit CoinControlDialog(CCoinControl& coin_control, WalletModel* model, const PlatformStyle *platformStyle, QWidget *parent = nullptr);
+ explicit CoinControlDialog(wallet::CCoinControl& coin_control, WalletModel* model, const PlatformStyle *platformStyle, QWidget *parent = nullptr);
~CoinControlDialog();
// static because also called from sendcoinsdialog
- static void updateLabels(CCoinControl& m_coin_control, WalletModel*, QDialog*);
+ static void updateLabels(wallet::CCoinControl& m_coin_control, WalletModel*, QDialog*);
static QList<CAmount> payAmounts;
static bool fSubtractFeeFromAmount;
+protected:
+ void changeEvent(QEvent* e) override;
+
private:
Ui::CoinControlDialog *ui;
- CCoinControl& m_coin_control;
+ wallet::CCoinControl& m_coin_control;
WalletModel *model;
int sortColumn;
Qt::SortOrder sortOrder;
QMenu *contextMenu;
QTreeWidgetItem *contextMenuItem;
- QAction *copyTransactionHashAction;
+ QAction* m_copy_transaction_outpoint_action;
QAction *lockAction;
QAction *unlockAction;
@@ -92,7 +97,7 @@ private Q_SLOTS:
void copyAmount();
void copyLabel();
void copyAddress();
- void copyTransactionHash();
+ void copyTransactionOutpoint();
void lockCoin();
void unlockCoin();
void clipboardQuantity();
diff --git a/src/qt/createwalletdialog.cpp b/src/qt/createwalletdialog.cpp
index 1467801522..5b3c8bcf48 100644
--- a/src/qt/createwalletdialog.cpp
+++ b/src/qt/createwalletdialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,6 +6,7 @@
#include <config/bitcoin-config.h>
#endif
+#include <interfaces/node.h>
#include <qt/createwalletdialog.h>
#include <qt/forms/ui_createwalletdialog.h>
@@ -27,14 +28,40 @@ CreateWalletDialog::CreateWalletDialog(QWidget* parent) :
});
connect(ui->encrypt_wallet_checkbox, &QCheckBox::toggled, [this](bool checked) {
- // Disable the disable_privkeys_checkbox when isEncryptWalletChecked is
+ // Disable the disable_privkeys_checkbox and external_signer_checkbox when isEncryptWalletChecked is
// set to true, enable it when isEncryptWalletChecked is false.
ui->disable_privkeys_checkbox->setEnabled(!checked);
-
+#ifdef ENABLE_EXTERNAL_SIGNER
+ ui->external_signer_checkbox->setEnabled(m_has_signers && !checked);
+#endif
// When the disable_privkeys_checkbox is disabled, uncheck it.
if (!ui->disable_privkeys_checkbox->isEnabled()) {
ui->disable_privkeys_checkbox->setChecked(false);
}
+
+ // When the external_signer_checkbox box is disabled, uncheck it.
+ if (!ui->external_signer_checkbox->isEnabled()) {
+ ui->external_signer_checkbox->setChecked(false);
+ }
+
+ });
+
+ connect(ui->external_signer_checkbox, &QCheckBox::toggled, [this](bool checked) {
+ ui->encrypt_wallet_checkbox->setEnabled(!checked);
+ ui->blank_wallet_checkbox->setEnabled(!checked);
+ ui->disable_privkeys_checkbox->setEnabled(!checked);
+ ui->descriptor_checkbox->setEnabled(!checked);
+
+ // The external signer checkbox is only enabled when a device is detected.
+ // In that case it is checked by default. Toggling it restores the other
+ // options to their default.
+ ui->descriptor_checkbox->setChecked(checked);
+ ui->encrypt_wallet_checkbox->setChecked(false);
+ ui->disable_privkeys_checkbox->setChecked(checked);
+ // The blank check box is ambiguous. This flag is always true for a
+ // watch-only wallet, even though we immedidately fetch keys from the
+ // external signer.
+ ui->blank_wallet_checkbox->setChecked(checked);
});
connect(ui->disable_privkeys_checkbox, &QCheckBox::toggled, [this](bool checked) {
@@ -53,15 +80,32 @@ CreateWalletDialog::CreateWalletDialog(QWidget* parent) :
}
});
+ connect(ui->blank_wallet_checkbox, &QCheckBox::toggled, [this](bool checked) {
+ if (!checked) {
+ ui->disable_privkeys_checkbox->setChecked(false);
+ }
+ });
+
#ifndef USE_SQLITE
ui->descriptor_checkbox->setToolTip(tr("Compiled without sqlite support (required for descriptor wallets)"));
ui->descriptor_checkbox->setEnabled(false);
ui->descriptor_checkbox->setChecked(false);
+ ui->external_signer_checkbox->setEnabled(false);
+ ui->external_signer_checkbox->setChecked(false);
#endif
+
#ifndef USE_BDB
ui->descriptor_checkbox->setEnabled(false);
ui->descriptor_checkbox->setChecked(true);
#endif
+
+#ifndef ENABLE_EXTERNAL_SIGNER
+ //: "External signing" means using devices such as hardware wallets.
+ ui->external_signer_checkbox->setToolTip(tr("Compiled without external signing support (required for external signing)"));
+ ui->external_signer_checkbox->setEnabled(false);
+ ui->external_signer_checkbox->setChecked(false);
+#endif
+
}
CreateWalletDialog::~CreateWalletDialog()
@@ -69,6 +113,27 @@ CreateWalletDialog::~CreateWalletDialog()
delete ui;
}
+void CreateWalletDialog::setSigners(const std::vector<std::unique_ptr<interfaces::ExternalSigner>>& signers)
+{
+ m_has_signers = !signers.empty();
+ if (m_has_signers) {
+ ui->external_signer_checkbox->setEnabled(true);
+ ui->external_signer_checkbox->setChecked(true);
+ ui->encrypt_wallet_checkbox->setEnabled(false);
+ ui->encrypt_wallet_checkbox->setChecked(false);
+ // The order matters, because connect() is called when toggling a checkbox:
+ ui->blank_wallet_checkbox->setEnabled(false);
+ ui->blank_wallet_checkbox->setChecked(false);
+ ui->disable_privkeys_checkbox->setEnabled(false);
+ ui->disable_privkeys_checkbox->setChecked(true);
+ const std::string label = signers[0]->getName();
+ ui->wallet_name_line_edit->setText(QString::fromStdString(label));
+ ui->buttonBox->button(QDialogButtonBox::Ok)->setEnabled(true);
+ } else {
+ ui->external_signer_checkbox->setEnabled(false);
+ }
+}
+
QString CreateWalletDialog::walletName() const
{
return ui->wallet_name_line_edit->text();
@@ -93,3 +158,8 @@ bool CreateWalletDialog::isDescriptorWalletChecked() const
{
return ui->descriptor_checkbox->isChecked();
}
+
+bool CreateWalletDialog::isExternalSignerChecked() const
+{
+ return ui->external_signer_checkbox->isChecked();
+}
diff --git a/src/qt/createwalletdialog.h b/src/qt/createwalletdialog.h
index 20cce937c8..939b82ff78 100644
--- a/src/qt/createwalletdialog.h
+++ b/src/qt/createwalletdialog.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,6 +7,12 @@
#include <QDialog>
+#include <memory>
+
+namespace interfaces {
+class ExternalSigner;
+} // namespace interfaces
+
class WalletModel;
namespace Ui {
@@ -23,14 +29,18 @@ public:
explicit CreateWalletDialog(QWidget* parent);
virtual ~CreateWalletDialog();
+ void setSigners(const std::vector<std::unique_ptr<interfaces::ExternalSigner>>& signers);
+
QString walletName() const;
bool isEncryptWalletChecked() const;
bool isDisablePrivateKeysChecked() const;
bool isMakeBlankWalletChecked() const;
bool isDescriptorWalletChecked() const;
+ bool isExternalSignerChecked() const;
private:
Ui::CreateWalletDialog *ui;
+ bool m_has_signers = false;
};
#endif // BITCOIN_QT_CREATEWALLETDIALOG_H
diff --git a/src/qt/editaddressdialog.cpp b/src/qt/editaddressdialog.cpp
index e51ed9e656..fa27635981 100644
--- a/src/qt/editaddressdialog.cpp
+++ b/src/qt/editaddressdialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/qt/forms/createwalletdialog.ui b/src/qt/forms/createwalletdialog.ui
index 881869a46c..56adbe17a5 100644
--- a/src/qt/forms/createwalletdialog.ui
+++ b/src/qt/forms/createwalletdialog.ui
@@ -107,6 +107,19 @@
<property name="text">
<string>Descriptor Wallet</string>
</property>
+ <property name="checked">
+ <bool>true</bool>
+ </property>
+ </widget>
+ </item>
+ <item>
+ <widget class="QCheckBox" name="external_signer_checkbox">
+ <property name="toolTip">
+ <string>Use an external signing device such as a hardware wallet. Configure the external signer script in wallet preferences first.</string>
+ </property>
+ <property name="text">
+ <string>External signer</string>
+ </property>
</widget>
</item>
</layout>
@@ -143,6 +156,7 @@
<tabstop>disable_privkeys_checkbox</tabstop>
<tabstop>blank_wallet_checkbox</tabstop>
<tabstop>descriptor_checkbox</tabstop>
+ <tabstop>external_signer_checkbox</tabstop>
</tabstops>
<resources/>
<connections>
diff --git a/src/qt/forms/debugwindow.ui b/src/qt/forms/debugwindow.ui
index e45cafe48a..2196801023 100644
--- a/src/qt/forms/debugwindow.ui
+++ b/src/qt/forms/debugwindow.ui
@@ -470,13 +470,7 @@
</spacer>
</item>
<item>
- <widget class="QPushButton" name="fontSmallerButton">
- <property name="maximumSize">
- <size>
- <width>24</width>
- <height>24</height>
- </size>
- </property>
+ <widget class="QToolButton" name="fontSmallerButton">
<property name="toolTip">
<string>Decrease font size</string>
</property>
@@ -489,26 +483,14 @@
</property>
<property name="iconSize">
<size>
- <width>24</width>
- <height>16</height>
+ <width>22</width>
+ <height>22</height>
</size>
</property>
- <property name="autoDefault">
- <bool>false</bool>
- </property>
- <property name="flat">
- <bool>true</bool>
- </property>
</widget>
</item>
<item>
- <widget class="QPushButton" name="fontBiggerButton">
- <property name="maximumSize">
- <size>
- <width>24</width>
- <height>24</height>
- </size>
- </property>
+ <widget class="QToolButton" name="fontBiggerButton">
<property name="toolTip">
<string>Increase font size</string>
</property>
@@ -521,26 +503,14 @@
</property>
<property name="iconSize">
<size>
- <width>24</width>
- <height>16</height>
+ <width>22</width>
+ <height>22</height>
</size>
</property>
- <property name="autoDefault">
- <bool>false</bool>
- </property>
- <property name="flat">
- <bool>true</bool>
- </property>
</widget>
</item>
<item>
- <widget class="QPushButton" name="clearButton">
- <property name="maximumSize">
- <size>
- <width>24</width>
- <height>24</height>
- </size>
- </property>
+ <widget class="QToolButton" name="clearButton">
<property name="toolTip">
<string>Clear console</string>
</property>
@@ -554,15 +524,15 @@
<iconset resource="../bitcoin.qrc">
<normaloff>:/icons/remove</normaloff>:/icons/remove</iconset>
</property>
+ <property name="iconSize">
+ <size>
+ <width>22</width>
+ <height>22</height>
+ </size>
+ </property>
<property name="shortcut">
<string notr="true">Ctrl+L</string>
</property>
- <property name="autoDefault">
- <bool>false</bool>
- </property>
- <property name="flat">
- <bool>true</bool>
- </property>
</widget>
</item>
</layout>
@@ -923,9 +893,18 @@
<property name="tabKeyNavigation">
<bool>false</bool>
</property>
+ <property name="alternatingRowColors">
+ <bool>true</bool>
+ </property>
+ <property name="textElideMode">
+ <enum>Qt::ElideMiddle</enum>
+ </property>
<property name="sortingEnabled">
<bool>true</bool>
</property>
+ <property name="wordWrap">
+ <bool>false</bool>
+ </property>
<attribute name="horizontalHeaderHighlightSections">
<bool>false</bool>
</attribute>
@@ -978,6 +957,9 @@
<property name="tabKeyNavigation">
<bool>false</bool>
</property>
+ <property name="alternatingRowColors">
+ <bool>true</bool>
+ </property>
<property name="sortingEnabled">
<bool>true</bool>
</property>
@@ -1192,6 +1174,9 @@
<property name="textFormat">
<enum>Qt::PlainText</enum>
</property>
+ <property name="wordWrap">
+ <bool>true</bool>
+ </property>
<property name="textInteractionFlags">
<set>Qt::LinksAccessibleByMouse|Qt::TextSelectableByKeyboard|Qt::TextSelectableByMouse</set>
</property>
@@ -1370,10 +1355,10 @@
<item row="13" column="0">
<widget class="QLabel" name="peerLastTxLabel">
<property name="toolTip">
- <string>Elapsed time since a novel transaction accepted into our mempool was received from this peer.</string>
+ <string extracomment="Tooltip text for the Last Transaction field in the peer details area.">Elapsed time since a novel transaction accepted into our mempool was received from this peer.</string>
</property>
<property name="text">
- <string>Last Tx</string>
+ <string>Last Transaction</string>
</property>
</widget>
</item>
@@ -1607,6 +1592,84 @@
</widget>
</item>
<item row="23" column="0">
+ <widget class="QLabel" name="peerAddrRelayEnabledLabel">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for the Address Relay field in the peer details area.">Whether we relay addresses to this peer.</string>
+ </property>
+ <property name="text">
+ <string>Address Relay</string>
+ </property>
+ </widget>
+ </item>
+ <item row="23" column="1">
+ <widget class="QLabel" name="peerAddrRelayEnabled">
+ <property name="cursor">
+ <cursorShape>IBeamCursor</cursorShape>
+ </property>
+ <property name="text">
+ <string>N/A</string>
+ </property>
+ <property name="textFormat">
+ <enum>Qt::PlainText</enum>
+ </property>
+ <property name="textInteractionFlags">
+ <set>Qt::LinksAccessibleByMouse|Qt::TextSelectableByKeyboard|Qt::TextSelectableByMouse</set>
+ </property>
+ </widget>
+ </item>
+ <item row="24" column="0">
+ <widget class="QLabel" name="peerAddrProcessedLabel">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for the Addresses Processed field in the peer details area.">Total number of addresses processed, excluding those dropped due to rate-limiting.</string>
+ </property>
+ <property name="text">
+ <string>Addresses Processed</string>
+ </property>
+ </widget>
+ </item>
+ <item row="24" column="1">
+ <widget class="QLabel" name="peerAddrProcessed">
+ <property name="cursor">
+ <cursorShape>IBeamCursor</cursorShape>
+ </property>
+ <property name="text">
+ <string>N/A</string>
+ </property>
+ <property name="textFormat">
+ <enum>Qt::PlainText</enum>
+ </property>
+ <property name="textInteractionFlags">
+ <set>Qt::LinksAccessibleByMouse|Qt::TextSelectableByKeyboard|Qt::TextSelectableByMouse</set>
+ </property>
+ </widget>
+ </item>
+ <item row="25" column="0">
+ <widget class="QLabel" name="peerAddrRateLimitedLabel">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for the Addresses Rate-Limited field in the peer details area.">Total number of addresses dropped due to rate-limiting.</string>
+ </property>
+ <property name="text">
+ <string>Addresses Rate-Limited</string>
+ </property>
+ </widget>
+ </item>
+ <item row="25" column="1">
+ <widget class="QLabel" name="peerAddrRateLimited">
+ <property name="cursor">
+ <cursorShape>IBeamCursor</cursorShape>
+ </property>
+ <property name="text">
+ <string>N/A</string>
+ </property>
+ <property name="textFormat">
+ <enum>Qt::PlainText</enum>
+ </property>
+ <property name="textInteractionFlags">
+ <set>Qt::LinksAccessibleByMouse|Qt::TextSelectableByKeyboard|Qt::TextSelectableByMouse</set>
+ </property>
+ </widget>
+ </item>
+ <item row="26" column="0">
<spacer name="verticalSpacer_3">
<property name="orientation">
<enum>Qt::Vertical</enum>
diff --git a/src/qt/forms/intro.ui b/src/qt/forms/intro.ui
index f27a4ebe44..a1e94f99e6 100644
--- a/src/qt/forms/intro.ui
+++ b/src/qt/forms/intro.ui
@@ -7,7 +7,7 @@
<x>0</x>
<y>0</y>
<width>674</width>
- <height>415</height>
+ <height>447</height>
</rect>
</property>
<property name="windowTitle">
@@ -211,16 +211,6 @@
</widget>
</item>
<item>
- <widget class="QCheckBox" name="prune">
- <property name="toolTip">
- <string>Reverting this setting requires re-downloading the entire blockchain. It is faster to download the full chain first and prune it later. Disables some advanced features.</string>
- </property>
- <property name="text">
- <string></string>
- </property>
- </widget>
- </item>
- <item>
<widget class="QLabel" name="lblExplanation2">
<property name="text">
<string>This initial synchronisation is very demanding, and may expose hardware problems with your computer that had previously gone unnoticed. Each time you run %1, it will continue downloading where it left off.</string>
@@ -241,6 +231,47 @@
</widget>
</item>
<item>
+ <layout class="QHBoxLayout" name="pruneOptLayout">
+ <item>
+ <widget class="QCheckBox" name="prune">
+ <property name="text">
+ <string>Limit block chain storage to</string>
+ </property>
+ <property name="toolTip">
+ <string>Reverting this setting requires re-downloading the entire blockchain. It is faster to download the full chain first and prune it later. Disables some advanced features.</string>
+ </property>
+ </widget>
+ </item>
+ <item>
+ <widget class="QSpinBox" name="pruneGB">
+ <property name="suffix">
+ <string> GB</string>
+ </property>
+ </widget>
+ </item>
+ <item>
+ <widget class="QLabel" name="lblPruneSuffix">
+ <property name="buddy">
+ <cstring>pruneGB</cstring>
+ </property>
+ </widget>
+ </item>
+ <item>
+ <spacer name="horizontalSpacer_2">
+ <property name="orientation">
+ <enum>Qt::Horizontal</enum>
+ </property>
+ <property name="sizeHint" stdset="0">
+ <size>
+ <width>40</width>
+ <height>20</height>
+ </size>
+ </property>
+ </spacer>
+ </item>
+ </layout>
+ </item>
+ <item>
<spacer name="verticalSpacer">
<property name="orientation">
<enum>Qt::Vertical</enum>
diff --git a/src/qt/forms/modaloverlay.ui b/src/qt/forms/modaloverlay.ui
index d2e7ca8f06..dbdeadfc00 100644
--- a/src/qt/forms/modaloverlay.ui
+++ b/src/qt/forms/modaloverlay.ui
@@ -219,7 +219,7 @@ QLabel { color: rgb(40,40,40); }</string>
<item row="0" column="1">
<widget class="QLabel" name="numberOfBlocksLeft">
<property name="text">
- <string>Unknown...</string>
+ <string>Unknown…</string>
</property>
</widget>
</item>
@@ -245,7 +245,7 @@ QLabel { color: rgb(40,40,40); }</string>
</sizepolicy>
</property>
<property name="text">
- <string>Unknown...</string>
+ <string>Unknown…</string>
</property>
</widget>
</item>
@@ -271,16 +271,6 @@ QLabel { color: rgb(40,40,40); }</string>
</property>
</widget>
</item>
- <item>
- <widget class="QProgressBar" name="progressBar">
- <property name="value">
- <number>24</number>
- </property>
- <property name="format">
- <string/>
- </property>
- </widget>
- </item>
</layout>
</item>
<item row="4" column="0">
@@ -299,7 +289,7 @@ QLabel { color: rgb(40,40,40); }</string>
<item row="4" column="1">
<widget class="QLabel" name="progressIncreasePerH">
<property name="text">
- <string>calculating...</string>
+ <string>calculating…</string>
</property>
</widget>
</item>
@@ -319,7 +309,7 @@ QLabel { color: rgb(40,40,40); }</string>
<item row="5" column="1">
<widget class="QLabel" name="expectedTimeLeft">
<property name="text">
- <string>calculating...</string>
+ <string>calculating…</string>
</property>
</widget>
</item>
diff --git a/src/qt/forms/openuridialog.ui b/src/qt/forms/openuridialog.ui
index 1b7291ab9d..97399e59a2 100644
--- a/src/qt/forms/openuridialog.ui
+++ b/src/qt/forms/openuridialog.ui
@@ -30,6 +30,27 @@
</property>
</widget>
</item>
+ <item>
+ <widget class="QToolButton" name="pasteButton">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for button that allows you to paste an address that is in your clipboard.">Paste address from clipboard</string>
+ </property>
+ <property name="text">
+ <string/>
+ </property>
+ <property name="icon">
+ <iconset resource="../bitcoin.qrc">
+ <normaloff>:/icons/editpaste</normaloff>:/icons/editpaste
+ </iconset>
+ </property>
+ <property name="iconSize">
+ <size>
+ <width>22</width>
+ <height>22</height>
+ </size>
+ </property>
+ </widget>
+ </item>
</layout>
</item>
<item>
diff --git a/src/qt/forms/optionsdialog.ui b/src/qt/forms/optionsdialog.ui
index 6d279540e9..5438811aff 100644
--- a/src/qt/forms/optionsdialog.ui
+++ b/src/qt/forms/optionsdialog.ui
@@ -51,20 +51,20 @@
</spacer>
</item>
<item>
- <layout class="QHBoxLayout" name="horizontalLayout_Main_Prune">
- <item>
- <widget class="QCheckBox" name="prune">
- <property name="toolTip">
- <string>Enabling pruning significantly reduces the disk space required to store transactions. All blocks are still fully validated. Reverting this setting requires re-downloading the entire blockchain.</string>
- </property>
- <property name="text">
- <string>Prune &amp;block storage to</string>
- </property>
- </widget>
- </item>
- <item>
- <widget class="QSpinBox" name="pruneSize"/>
- </item>
+ <layout class="QHBoxLayout" name="horizontalLayout_Main_Prune">
+ <item>
+ <widget class="QCheckBox" name="prune">
+ <property name="toolTip">
+ <string>Enabling pruning significantly reduces the disk space required to store transactions. All blocks are still fully validated. Reverting this setting requires re-downloading the entire blockchain.</string>
+ </property>
+ <property name="text">
+ <string>Prune &amp;block storage to</string>
+ </property>
+ </widget>
+ </item>
+ <item>
+ <widget class="QSpinBox" name="pruneSize"/>
+ </item>
<item>
<widget class="QLabel" name="pruneSizeUnitLabel">
<property name="text">
@@ -104,6 +104,9 @@
<layout class="QHBoxLayout" name="horizontalLayout_2_Main">
<item>
<widget class="QLabel" name="databaseCacheLabel">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for Options window setting that sets the size of the database cache. Explains the corresponding effects of increasing/decreasing this value.">Maximum database cache size. A larger cache can contribute to faster sync, after which the benefit is less pronounced for most use cases. Lowering the cache size will reduce memory usage. Unused mempool memory is shared for this cache.</string>
+ </property>
<property name="text">
<string>Size of &amp;database cache</string>
</property>
@@ -147,6 +150,9 @@
<layout class="QHBoxLayout" name="horizontalLayout_Main_VerifyLabel">
<item>
<widget class="QLabel" name="threadsScriptVerifLabel">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for Options window setting that sets the number of script verification threads. Explains that negative values mean to leave these many cores free to the system.">Set the number of script verification threads. Negative values correspond to the number of cores you want to leave free to the system.</string>
+ </property>
<property name="text">
<string>Number of script &amp;verification threads</string>
</property>
@@ -173,7 +179,7 @@
<property name="sizeHint" stdset="0">
<size>
<width>40</width>
- <height>20</height>
+ <height>40</height>
</size>
</property>
</spacer>
@@ -181,6 +187,16 @@
</layout>
</item>
<item>
+ <widget class="QCheckBox" name="enableServer">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for Options window setting that enables the RPC server.">This allows you or a third party tool to communicate with the node through command-line and JSON-RPC commands.</string>
+ </property>
+ <property name="text">
+ <string extracomment="An Options window setting to enable the RPC server.">Enable R&amp;PC server</string>
+ </property>
+ </widget>
+ </item>
+ <item>
<spacer name="verticalSpacer_Main">
<property name="orientation">
<enum>Qt::Vertical</enum>
@@ -201,6 +217,16 @@
</attribute>
<layout class="QVBoxLayout" name="verticalLayout_Wallet">
<item>
+ <widget class="QCheckBox" name="subFeeFromAmount">
+ <property name="toolTip">
+ <string extracomment="Tooltip text for Options window setting that sets subtracting the fee from a sending amount as default.">Whether to set subtract fee from amount as default or not.</string>
+ </property>
+ <property name="text">
+ <string extracomment="An Options window setting to set subtracting the fee from a sending amount as default.">Subtract &amp;fee from amount by default</string>
+ </property>
+ </widget>
+ </item>
+ <item>
<widget class="QGroupBox" name="groupBox">
<property name="title">
<string>Expert</string>
@@ -226,6 +252,46 @@
</property>
</widget>
</item>
+ <item>
+ <widget class="QCheckBox" name="m_enable_psbt_controls">
+ <property name="text">
+ <string extracomment="An options window setting to enable PSBT controls.">Enable &amp;PSBT controls</string>
+ </property>
+ <property name="toolTip">
+ <string extracomment="Tooltip text for options window setting that enables PSBT controls.">Whether to show PSBT controls.</string>
+ </property>
+ </widget>
+ </item>
+ </layout>
+ </widget>
+ </item>
+ <item>
+ <widget class="QGroupBox" name="groupBoxHww">
+ <property name="title">
+ <string>External Signer (e.g. hardware wallet)</string>
+ </property>
+ <layout class="QVBoxLayout" name="verticalLayoutHww">
+ <item>
+ <layout class="QHBoxLayout" name="horizontalLayoutHww">
+ <item>
+ <widget class="QLabel" name="externalSignerPathLabel">
+ <property name="text">
+ <string>&amp;External signer script path</string>
+ </property>
+ <property name="buddy">
+ <cstring>externalSignerPath</cstring>
+ </property>
+ </widget>
+ </item>
+ <item>
+ <widget class="QLineEdit" name="externalSignerPath">
+ <property name="toolTip">
+ <string>Full path to a Bitcoin Core compatible script (e.g. C:\Downloads\hwi.exe or /Users/you/Downloads/hwi.py). Beware: malware can steal your coins!</string>
+ </property>
+ </widget>
+ </item>
+ </layout>
+ </item>
</layout>
</widget>
</item>
@@ -683,10 +749,10 @@
<item>
<widget class="QLabel" name="thirdPartyTxUrlsLabel">
<property name="toolTip">
- <string>Third party URLs (e.g. a block explorer) that appear in the transactions tab as context menu items. %s in the URL is replaced by transaction hash. Multiple URLs are separated by vertical bar |.</string>
+ <string>Third-party URLs (e.g. a block explorer) that appear in the transactions tab as context menu items. %s in the URL is replaced by transaction hash. Multiple URLs are separated by vertical bar |.</string>
</property>
<property name="text">
- <string>&amp;Third party transaction URLs</string>
+ <string>&amp;Third-party transaction URLs</string>
</property>
<property name="buddy">
<cstring>thirdPartyTxUrls</cstring>
@@ -696,7 +762,7 @@
<item>
<widget class="QLineEdit" name="thirdPartyTxUrls">
<property name="toolTip">
- <string>Third party URLs (e.g. a block explorer) that appear in the transactions tab as context menu items. %s in the URL is replaced by transaction hash. Multiple URLs are separated by vertical bar |.</string>
+ <string>Third-party URLs (e.g. a block explorer) that appear in the transactions tab as context menu items. %s in the URL is replaced by transaction hash. Multiple URLs are separated by vertical bar |.</string>
</property>
<property name="placeholderText">
<string notr="true">https://example.com/tx/%s</string>
@@ -738,14 +804,14 @@
<item>
<widget class="QLabel" name="embeddedFont_label_1">
<property name="text">
- <string>111.11111111 BTC</string>
+ <string notr="true">111.11111111 BTC</string>
</property>
</widget>
</item>
<item>
<widget class="QLabel" name="embeddedFont_label_9">
<property name="text">
- <string>909.09090909 BTC</string>
+ <string notr="true">909.09090909 BTC</string>
</property>
</widget>
</item>
@@ -787,14 +853,14 @@
<item>
<widget class="QLabel" name="systemFont_label_1">
<property name="text">
- <string>111.11111111 BTC</string>
+ <string notr="true">111.11111111 BTC</string>
</property>
</widget>
</item>
<item>
<widget class="QLabel" name="systemFont_label_9">
<property name="text">
- <string>909.09090909 BTC</string>
+ <string notr="true">909.09090909 BTC</string>
</property>
</widget>
</item>
diff --git a/src/qt/forms/psbtoperationsdialog.ui b/src/qt/forms/psbtoperationsdialog.ui
index c2e2f5035b..caae0dab2a 100644
--- a/src/qt/forms/psbtoperationsdialog.ui
+++ b/src/qt/forms/psbtoperationsdialog.ui
@@ -126,7 +126,7 @@
<item>
<widget class="QPushButton" name="saveButton">
<property name="text">
- <string>Save...</string>
+ <string>Save…</string>
</property>
</widget>
</item>
diff --git a/src/qt/forms/receivecoinsdialog.ui b/src/qt/forms/receivecoinsdialog.ui
index 06d39426c9..7590dd524d 100644
--- a/src/qt/forms/receivecoinsdialog.ui
+++ b/src/qt/forms/receivecoinsdialog.ui
@@ -195,7 +195,7 @@
</widget>
</item>
<item>
- <widget class="QCheckBox" name="useBech32">
+ <widget class="QComboBox" name="addressType">
<property name="sizePolicy">
<sizepolicy hsizetype="Fixed" vsizetype="Fixed">
<horstretch>0</horstretch>
@@ -211,12 +211,6 @@
<property name="focusPolicy">
<enum>Qt::StrongFocus</enum>
</property>
- <property name="toolTip">
- <string>Native segwit addresses (aka Bech32 or BIP-173) reduce your transaction fees later on and offer better protection against typos, but old wallets don't support them. When unchecked, an address compatible with older wallets will be created instead.</string>
- </property>
- <property name="text">
- <string>Generate native segwit (Bech32) address</string>
- </property>
</widget>
</item>
<item>
@@ -308,7 +302,7 @@
</property>
<property name="icon">
<iconset resource="../bitcoin.qrc">
- <normaloff>:/icons/edit</normaloff>:/icons/edit</iconset>
+ <normaloff>:/icons/eye</normaloff>:/icons/eye</iconset>
</property>
<property name="autoDefault">
<bool>false</bool>
@@ -366,7 +360,7 @@
<tabstops>
<tabstop>reqLabel</tabstop>
<tabstop>reqAmount</tabstop>
- <tabstop>useBech32</tabstop>
+ <tabstop>addressType</tabstop>
<tabstop>reqMessage</tabstop>
<tabstop>receiveButton</tabstop>
<tabstop>clearButton</tabstop>
diff --git a/src/qt/forms/receiverequestdialog.ui b/src/qt/forms/receiverequestdialog.ui
index f6d4723465..70a7cf71de 100644
--- a/src/qt/forms/receiverequestdialog.ui
+++ b/src/qt/forms/receiverequestdialog.ui
@@ -11,7 +11,7 @@
</rect>
</property>
<property name="windowTitle">
- <string>Request payment to ...</string>
+ <string>Request payment to …</string>
</property>
<layout class="QGridLayout" name="gridLayout" columnstretch="0,1">
<property name="sizeConstraint">
@@ -65,7 +65,7 @@
<item row="2" column="1" alignment="Qt::AlignTop">
<widget class="QLabel" name="uri_content">
<property name="text">
- <string notr="true">bitcoin:BC1...</string>
+ <string notr="true">bitcoin:BC1…</string>
</property>
<property name="textFormat">
<enum>Qt::RichText</enum>
@@ -97,7 +97,7 @@
<item row="3" column="1" alignment="Qt::AlignTop">
<widget class="QLabel" name="address_content">
<property name="text">
- <string notr="true">bc1...</string>
+ <string notr="true">bc1…</string>
</property>
<property name="textFormat">
<enum>Qt::PlainText</enum>
@@ -255,9 +255,22 @@
</widget>
</item>
<item>
+ <widget class="QPushButton" name="btnVerify">
+ <property name="text">
+ <string>&amp;Verify</string>
+ </property>
+ <property name="toolTip">
+ <string>Verify this address on e.g. a hardware wallet screen</string>
+ </property>
+ <property name="autoDefault">
+ <bool>false</bool>
+ </property>
+ </widget>
+ </item>
+ <item>
<widget class="QPushButton" name="btnSaveAs">
<property name="text">
- <string>&amp;Save Image...</string>
+ <string>&amp;Save Image…</string>
</property>
<property name="autoDefault">
<bool>false</bool>
diff --git a/src/qt/forms/sendcoinsdialog.ui b/src/qt/forms/sendcoinsdialog.ui
index cfd4bf33d4..37da6fedda 100644
--- a/src/qt/forms/sendcoinsdialog.ui
+++ b/src/qt/forms/sendcoinsdialog.ui
@@ -107,7 +107,7 @@
<string notr="true"/>
</property>
<property name="text">
- <string>Inputs...</string>
+ <string>Inputs…</string>
</property>
<property name="autoDefault">
<bool>false</bool>
@@ -738,7 +738,7 @@
<item>
<widget class="QPushButton" name="buttonChooseFee">
<property name="text">
- <string>Choose...</string>
+ <string>Choose…</string>
</property>
</widget>
</item>
@@ -850,7 +850,7 @@
<property name="toolTip">
<string>Specify a custom fee per kB (1,000 bytes) of the transaction's virtual size.
-Note: Since the fee is calculated on a per-byte basis, a fee of "100 satoshis per kB" for a transaction size of 500 bytes (half of 1 kB) would ultimately yield a fee of only 50 satoshis.</string>
+Note: Since the fee is calculated on a per-byte basis, a fee rate of "100 satoshis per kvB" for a transaction size of 500 virtual bytes (half of 1 kvB) would ultimately yield a fee of only 50 satoshis.</string>
</property>
<property name="text">
<string>per kilobyte</string>
@@ -991,7 +991,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of "100 satoshis p
<item>
<widget class="QLabel" name="labelSmartFee2">
<property name="text">
- <string>(Smart fee not initialized yet. This usually takes a few blocks...)</string>
+ <string>(Smart fee not initialized yet. This usually takes a few blocks…)</string>
</property>
</widget>
</item>
diff --git a/src/qt/guiconstants.h b/src/qt/guiconstants.h
index 882d2c8f52..fcdf6056c9 100644
--- a/src/qt/guiconstants.h
+++ b/src/qt/guiconstants.h
@@ -5,10 +5,16 @@
#ifndef BITCOIN_QT_GUICONSTANTS_H
#define BITCOIN_QT_GUICONSTANTS_H
+#include <chrono>
#include <cstdint>
-/* Milliseconds between model updates */
-static const int MODEL_UPDATE_DELAY = 250;
+using namespace std::chrono_literals;
+
+/* A delay between model updates */
+static constexpr auto MODEL_UPDATE_DELAY{250ms};
+
+/* A delay between shutdown pollings */
+static constexpr auto SHUTDOWN_POLLING_DELAY{200ms};
/* AskPassphraseDialog -- Maximum passphrase length */
static const int MAX_PASSPHRASE_SIZE = 1024;
@@ -27,8 +33,6 @@ static const bool DEFAULT_SPLASHSCREEN = true;
#define COLOR_NEGATIVE QColor(255, 0, 0)
/* Transaction list -- bare address (without label) */
#define COLOR_BAREADDRESS QColor(140, 140, 140)
-/* Transaction list -- TX status decoration - open until date */
-#define COLOR_TX_STATUS_OPENUNTILDATE QColor(64, 64, 255)
/* Transaction list -- TX status decoration - danger, tx needs attention */
#define COLOR_TX_STATUS_DANGER QColor(200, 100, 100)
/* Transaction list -- TX status decoration - default color */
diff --git a/src/qt/guiutil.cpp b/src/qt/guiutil.cpp
index 89d6deb70d..9565fa508f 100644
--- a/src/qt/guiutil.cpp
+++ b/src/qt/guiutil.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,11 +6,13 @@
#include <qt/bitcoinaddressvalidator.h>
#include <qt/bitcoinunits.h>
+#include <qt/platformstyle.h>
#include <qt/qvalidatedlineedit.h>
#include <qt/sendcoinsrecipient.h>
#include <base58.h>
#include <chainparams.h>
+#include <fs.h>
#include <interfaces/node.h>
#include <key_io.h>
#include <policy/policy.h>
@@ -19,6 +21,7 @@
#include <script/script.h>
#include <script/standard.h>
#include <util/system.h>
+#include <util/time.h>
#ifdef WIN32
#ifndef NOMINMAX
@@ -29,11 +32,13 @@
#include <shlwapi.h>
#endif
+#include <QAbstractButton>
#include <QAbstractItemView>
#include <QApplication>
#include <QClipboard>
#include <QDateTime>
#include <QDesktopServices>
+#include <QDialog>
#include <QDoubleValidator>
#include <QFileDialog>
#include <QFont>
@@ -42,6 +47,7 @@
#include <QGuiApplication>
#include <QJsonObject>
#include <QKeyEvent>
+#include <QLatin1String>
#include <QLineEdit>
#include <QList>
#include <QLocale>
@@ -59,7 +65,12 @@
#include <QUrlQuery>
#include <QtGlobal>
+#include <cassert>
#include <chrono>
+#include <exception>
+#include <fstream>
+#include <string>
+#include <vector>
#if defined(Q_OS_MAC)
@@ -77,7 +88,7 @@ QString dateTimeStr(const QDateTime &date)
QString dateTimeStr(qint64 nTime)
{
- return dateTimeStr(QDateTime::fromTime_t((qint32)nTime));
+ return dateTimeStr(QDateTime::fromSecsSinceEpoch(nTime));
}
QFont fixedPitchFont(bool use_embedded_font)
@@ -119,6 +130,11 @@ void setupAddressWidget(QValidatedLineEdit *widget, QWidget *parent)
widget->setCheckValidator(new BitcoinAddressCheckValidator(parent));
}
+void AddButtonShortcut(QAbstractButton* button, const QKeySequence& shortcut)
+{
+ QObject::connect(new QShortcut(shortcut, button), &QShortcut::activated, [button]() { button->animateClick(); });
+}
+
bool parseBitcoinURI(const QUrl &uri, SendCoinsRecipient *out)
{
// return if URI is not valid or is no bitcoin: URI
@@ -262,9 +278,15 @@ bool hasEntryData(const QAbstractItemView *view, int column, int role)
return !selection.at(0).data(role).toString().isEmpty();
}
+void LoadFont(const QString& file_name)
+{
+ const int id = QFontDatabase::addApplicationFont(file_name);
+ assert(id != -1);
+}
+
QString getDefaultDataDirectory()
{
- return boostPathToQString(GetDefaultDataDir());
+ return PathToQString(GetDefaultDataDir());
}
QString getSaveFileName(QWidget *parent, const QString &caption, const QString &dir,
@@ -397,11 +419,11 @@ void handleCloseWindowShortcut(QWidget* w)
void openDebugLogfile()
{
- fs::path pathDebug = GetDataDir() / "debug.log";
+ fs::path pathDebug = gArgs.GetDataDirNet() / "debug.log";
/* Open debug.log with the associated application */
if (fs::exists(pathDebug))
- QDesktopServices::openUrl(QUrl::fromLocalFile(boostPathToQString(pathDebug)));
+ QDesktopServices::openUrl(QUrl::fromLocalFile(PathToQString(pathDebug)));
}
bool openBitcoinConf()
@@ -409,7 +431,7 @@ bool openBitcoinConf()
fs::path pathConfig = GetConfigFile(gArgs.GetArg("-conf", BITCOIN_CONF_FILENAME));
/* Create the file */
- fsbridge::ofstream configFile(pathConfig, std::ios_base::app);
+ std::ofstream configFile{pathConfig, std::ios_base::app};
if (!configFile.good())
return false;
@@ -417,11 +439,11 @@ bool openBitcoinConf()
configFile.close();
/* Open bitcoin.conf with the associated application */
- bool res = QDesktopServices::openUrl(QUrl::fromLocalFile(boostPathToQString(pathConfig)));
+ bool res = QDesktopServices::openUrl(QUrl::fromLocalFile(PathToQString(pathConfig)));
#ifdef Q_OS_MAC
// Workaround for macOS-specific behavior; see #15409.
if (!res) {
- res = QProcess::startDetached("/usr/bin/open", QStringList{"-t", boostPathToQString(pathConfig)});
+ res = QProcess::startDetached("/usr/bin/open", QStringList{"-t", PathToQString(pathConfig)});
}
#endif
@@ -569,7 +591,7 @@ fs::path static GetAutostartFilePath()
bool GetStartOnSystemStartup()
{
- fsbridge::ifstream optionFile(GetAutostartFilePath());
+ std::ifstream optionFile{GetAutostartFilePath()};
if (!optionFile.good())
return false;
// Scan through file for "Hidden=true":
@@ -600,7 +622,7 @@ bool SetStartOnSystemStartup(bool fAutoStart)
fs::create_directories(GetAutostartDir());
- fsbridge::ofstream optionFile(GetAutostartFilePath(), std::ios_base::out | std::ios_base::trunc);
+ std::ofstream optionFile{GetAutostartFilePath(), std::ios_base::out | std::ios_base::trunc};
if (!optionFile.good())
return false;
std::string chain = gArgs.GetChainName();
@@ -628,18 +650,21 @@ bool SetStartOnSystemStartup(bool fAutoStart) { return false; }
void setClipboard(const QString& str)
{
- QApplication::clipboard()->setText(str, QClipboard::Clipboard);
- QApplication::clipboard()->setText(str, QClipboard::Selection);
+ QClipboard* clipboard = QApplication::clipboard();
+ clipboard->setText(str, QClipboard::Clipboard);
+ if (clipboard->supportsSelection()) {
+ clipboard->setText(str, QClipboard::Selection);
+ }
}
-fs::path qstringToBoostPath(const QString &path)
+fs::path QStringToPath(const QString &path)
{
- return fs::path(path.toStdString());
+ return fs::u8path(path.toStdString());
}
-QString boostPathToQString(const fs::path &path)
+QString PathToQString(const fs::path &path)
{
- return QString::fromStdString(path.string());
+ return QString::fromStdString(path.u8string());
}
QString NetworkToQString(Network net)
@@ -661,21 +686,34 @@ QString ConnectionTypeToQString(ConnectionType conn_type, bool prepend_direction
{
QString prefix;
if (prepend_direction) {
- prefix = (conn_type == ConnectionType::INBOUND) ? QObject::tr("Inbound") : QObject::tr("Outbound") + " ";
+ prefix = (conn_type == ConnectionType::INBOUND) ?
+ /*: An inbound connection from a peer. An inbound connection
+ is a connection initiated by a peer. */
+ QObject::tr("Inbound") :
+ /*: An outbound connection to a peer. An outbound connection
+ is a connection initiated by us. */
+ QObject::tr("Outbound") + " ";
}
switch (conn_type) {
case ConnectionType::INBOUND: return prefix;
+ //: Peer connection type that relays all network information.
case ConnectionType::OUTBOUND_FULL_RELAY: return prefix + QObject::tr("Full Relay");
+ /*: Peer connection type that relays network information about
+ blocks and not transactions or addresses. */
case ConnectionType::BLOCK_RELAY: return prefix + QObject::tr("Block Relay");
+ //: Peer connection type established manually through one of several methods.
case ConnectionType::MANUAL: return prefix + QObject::tr("Manual");
+ //: Short-lived peer connection type that tests the aliveness of known addresses.
case ConnectionType::FEELER: return prefix + QObject::tr("Feeler");
+ //: Short-lived peer connection type that solicits known addresses from a peer.
case ConnectionType::ADDR_FETCH: return prefix + QObject::tr("Address Fetch");
} // no default case, so the compiler can warn about missing cases
assert(false);
}
-QString formatDurationStr(int secs)
+QString formatDurationStr(std::chrono::seconds dur)
{
+ const auto secs = count_seconds(dur);
QStringList strList;
int days = secs / 86400;
int hours = (secs % 86400) / 3600;
@@ -683,13 +721,13 @@ QString formatDurationStr(int secs)
int seconds = secs % 60;
if (days)
- strList.append(QString(QObject::tr("%1 d")).arg(days));
+ strList.append(QObject::tr("%1 d").arg(days));
if (hours)
- strList.append(QString(QObject::tr("%1 h")).arg(hours));
+ strList.append(QObject::tr("%1 h").arg(hours));
if (mins)
- strList.append(QString(QObject::tr("%1 m")).arg(mins));
+ strList.append(QObject::tr("%1 m").arg(mins));
if (seconds || (!days && !hours && !mins))
- strList.append(QString(QObject::tr("%1 s")).arg(seconds));
+ strList.append(QObject::tr("%1 s").arg(seconds));
return strList.join(" ");
}
@@ -703,7 +741,7 @@ QString formatServicesStr(quint64 mask)
}
if (strList.size())
- return strList.join(" & ");
+ return strList.join(", ");
else
return QObject::tr("None");
}
@@ -712,12 +750,12 @@ QString formatPingTime(std::chrono::microseconds ping_time)
{
return (ping_time == std::chrono::microseconds::max() || ping_time == 0us) ?
QObject::tr("N/A") :
- QString(QObject::tr("%1 ms")).arg(QString::number((int)(count_microseconds(ping_time) / 1000), 10));
+ QObject::tr("%1 ms").arg(QString::number((int)(count_microseconds(ping_time) / 1000), 10));
}
QString formatTimeOffset(int64_t nTimeOffset)
{
- return QString(QObject::tr("%1 s")).arg(QString::number((int)nTimeOffset, 10));
+ return QObject::tr("%1 s").arg(QString::number((int)nTimeOffset, 10));
}
QString formatNiceTimeOffset(qint64 secs)
@@ -759,14 +797,14 @@ QString formatNiceTimeOffset(qint64 secs)
QString formatBytes(uint64_t bytes)
{
- if(bytes < 1024)
- return QString(QObject::tr("%1 B")).arg(bytes);
- if(bytes < 1024 * 1024)
- return QString(QObject::tr("%1 KB")).arg(bytes / 1024);
- if(bytes < 1024 * 1024 * 1024)
- return QString(QObject::tr("%1 MB")).arg(bytes / 1024 / 1024);
+ if (bytes < 1'000)
+ return QObject::tr("%1 B").arg(bytes);
+ if (bytes < 1'000'000)
+ return QObject::tr("%1 kB").arg(bytes / 1'000);
+ if (bytes < 1'000'000'000)
+ return QObject::tr("%1 MB").arg(bytes / 1'000'000);
- return QString(QObject::tr("%1 GB")).arg(bytes / 1024 / 1024 / 1024);
+ return QObject::tr("%1 GB").arg(bytes / 1'000'000'000);
}
qreal calculateIdealFontSize(int width, const QString& text, QFont font, qreal minPointSize, qreal font_size) {
@@ -781,6 +819,39 @@ qreal calculateIdealFontSize(int width, const QString& text, QFont font, qreal m
return font_size;
}
+ThemedLabel::ThemedLabel(const PlatformStyle* platform_style, QWidget* parent)
+ : QLabel{parent}, m_platform_style{platform_style}
+{
+ assert(m_platform_style);
+}
+
+void ThemedLabel::setThemedPixmap(const QString& image_filename, int width, int height)
+{
+ m_image_filename = image_filename;
+ m_pixmap_width = width;
+ m_pixmap_height = height;
+ updateThemedPixmap();
+}
+
+void ThemedLabel::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ updateThemedPixmap();
+ }
+
+ QLabel::changeEvent(e);
+}
+
+void ThemedLabel::updateThemedPixmap()
+{
+ setPixmap(m_platform_style->SingleColorIcon(m_image_filename).pixmap(m_pixmap_width, m_pixmap_height));
+}
+
+ClickableLabel::ClickableLabel(const PlatformStyle* platform_style, QWidget* parent)
+ : ThemedLabel{platform_style, parent}
+{
+}
+
void ClickableLabel::mouseReleaseEvent(QMouseEvent *event)
{
Q_EMIT clicked(event->pos());
@@ -807,10 +878,12 @@ void PolishProgressDialog(QProgressDialog* dialog)
// Workaround for macOS-only Qt bug; see: QTBUG-65750, QTBUG-70357.
const int margin = TextWidth(dialog->fontMetrics(), ("X"));
dialog->resize(dialog->width() + 2 * margin, dialog->height());
- dialog->show();
-#else
- Q_UNUSED(dialog);
#endif
+ // QProgressDialog estimates the time the operation will take (based on time
+ // for steps), and only shows itself if that estimate is beyond minimumDuration.
+ // The default minimumDuration value is 4 seconds, and it could make users
+ // think that the GUI is frozen.
+ dialog->setMinimumDuration(0);
}
int TextWidth(const QFontMetrics& fm, const QString& text)
@@ -893,4 +966,29 @@ QImage GetImage(const QLabel* label)
#endif
}
+QString MakeHtmlLink(const QString& source, const QString& link)
+{
+ return QString(source).replace(
+ link,
+ QLatin1String("<a href=\"") + link + QLatin1String("\">") + link + QLatin1String("</a>"));
+}
+
+void PrintSlotException(
+ const std::exception* exception,
+ const QObject* sender,
+ const QObject* receiver)
+{
+ std::string description = sender->metaObject()->className();
+ description += "->";
+ description += receiver->metaObject()->className();
+ PrintExceptionContinue(exception, description.c_str());
+}
+
+void ShowModalDialogAsynchronously(QDialog* dialog)
+{
+ dialog->setAttribute(Qt::WA_DeleteOnClose);
+ dialog->setWindowModality(Qt::ApplicationModal);
+ dialog->show();
+}
+
} // namespace GUIUtil
diff --git a/src/qt/guiutil.h b/src/qt/guiutil.h
index 6395ec6abd..0224b18b4e 100644
--- a/src/qt/guiutil.h
+++ b/src/qt/guiutil.h
@@ -1,27 +1,33 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_GUIUTIL_H
#define BITCOIN_QT_GUIUTIL_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <fs.h>
#include <net.h>
#include <netaddress.h>
+#include <util/check.h>
+#include <QApplication>
#include <QEvent>
#include <QHeaderView>
#include <QItemDelegate>
#include <QLabel>
#include <QMessageBox>
+#include <QMetaObject>
#include <QObject>
#include <QProgressBar>
#include <QString>
#include <QTableView>
+#include <cassert>
#include <chrono>
+#include <utility>
+class PlatformStyle;
class QValidatedLineEdit;
class SendCoinsRecipient;
@@ -31,10 +37,13 @@ namespace interfaces
}
QT_BEGIN_NAMESPACE
+class QAbstractButton;
class QAbstractItemView;
class QAction;
class QDateTime;
+class QDialog;
class QFont;
+class QKeySequence;
class QLineEdit;
class QMenu;
class QPoint;
@@ -60,6 +69,14 @@ namespace GUIUtil
// Set up widget for address
void setupAddressWidget(QValidatedLineEdit *widget, QWidget *parent);
+ /**
+ * Connects an additional shortcut to a QAbstractButton. Works around the
+ * one shortcut limitation of the button's shortcut property.
+ * @param[in] button QAbstractButton to assign shortcut to
+ * @param[in] shortcut QKeySequence to use as shortcut
+ */
+ void AddButtonShortcut(QAbstractButton* button, const QKeySequence& shortcut);
+
// Parse "bitcoin:" URI into recipient object, return true on successful parsing
bool parseBitcoinURI(const QUrl &uri, SendCoinsRecipient *out);
bool parseBitcoinURI(QString uri, SendCoinsRecipient *out);
@@ -97,6 +114,11 @@ namespace GUIUtil
void setClipboard(const QString& str);
/**
+ * Loads the font from the file specified by file_name, aborts if it fails.
+ */
+ void LoadFont(const QString& file_name);
+
+ /**
* Determine default data directory for operating system.
*/
QString getDefaultDataDirectory();
@@ -187,10 +209,10 @@ namespace GUIUtil
bool SetStartOnSystemStartup(bool fAutoStart);
/** Convert QString to OS specific boost path through UTF-8 */
- fs::path qstringToBoostPath(const QString &path);
+ fs::path QStringToPath(const QString &path);
/** Convert OS specific boost path to QString through UTF-8 */
- QString boostPathToQString(const fs::path &path);
+ QString PathToQString(const fs::path &path);
/** Convert enum Network to QString */
QString NetworkToQString(Network net);
@@ -199,7 +221,7 @@ namespace GUIUtil
QString ConnectionTypeToQString(ConnectionType conn_type, bool prepend_direction);
/** Convert seconds into a QString with days, hours, mins, secs */
- QString formatDurationStr(int secs);
+ QString formatDurationStr(std::chrono::seconds dur);
/** Format CNodeStats.nServices bitmask into a user-readable string */
QString formatServicesStr(quint64 mask);
@@ -216,10 +238,32 @@ namespace GUIUtil
qreal calculateIdealFontSize(int width, const QString& text, QFont font, qreal minPointSize = 4, qreal startPointSize = 14);
- class ClickableLabel : public QLabel
+ class ThemedLabel : public QLabel
{
Q_OBJECT
+ public:
+ explicit ThemedLabel(const PlatformStyle* platform_style, QWidget* parent = nullptr);
+ void setThemedPixmap(const QString& image_filename, int width, int height);
+
+ protected:
+ void changeEvent(QEvent* e) override;
+
+ private:
+ const PlatformStyle* m_platform_style;
+ QString m_image_filename;
+ int m_pixmap_width;
+ int m_pixmap_height;
+ void updateThemedPixmap();
+ };
+
+ class ClickableLabel : public ThemedLabel
+ {
+ Q_OBJECT
+
+ public:
+ explicit ClickableLabel(const PlatformStyle* platform_style, QWidget* parent = nullptr);
+
Q_SIGNALS:
/** Emitted when the label is clicked. The relative mouse coordinates of the click are
* passed to the signal.
@@ -327,6 +371,72 @@ namespace GUIUtil
QObject::connect(&source, &QObject::destroyed, object, std::forward<Fn>(function), connection);
}
+ /**
+ * Replaces a plain text link with an HTML tagged one.
+ */
+ QString MakeHtmlLink(const QString& source, const QString& link);
+
+ void PrintSlotException(
+ const std::exception* exception,
+ const QObject* sender,
+ const QObject* receiver);
+
+ /**
+ * A drop-in replacement of QObject::connect function
+ * (see: https://doc.qt.io/qt-5/qobject.html#connect-3), that
+ * guaranties that all exceptions are handled within the slot.
+ *
+ * NOTE: This function is incompatible with Qt private signals.
+ */
+ template <typename Sender, typename Signal, typename Receiver, typename Slot>
+ auto ExceptionSafeConnect(
+ Sender sender, Signal signal, Receiver receiver, Slot method,
+ Qt::ConnectionType type = Qt::AutoConnection)
+ {
+ return QObject::connect(
+ sender, signal, receiver,
+ [sender, receiver, method](auto&&... args) {
+ bool ok{true};
+ try {
+ (receiver->*method)(std::forward<decltype(args)>(args)...);
+ } catch (const NonFatalCheckError& e) {
+ PrintSlotException(&e, sender, receiver);
+ ok = QMetaObject::invokeMethod(
+ qApp, "handleNonFatalException",
+ blockingGUIThreadConnection(),
+ Q_ARG(QString, QString::fromStdString(e.what())));
+ } catch (const std::exception& e) {
+ PrintSlotException(&e, sender, receiver);
+ ok = QMetaObject::invokeMethod(
+ qApp, "handleRunawayException",
+ blockingGUIThreadConnection(),
+ Q_ARG(QString, QString::fromStdString(e.what())));
+ } catch (...) {
+ PrintSlotException(nullptr, sender, receiver);
+ ok = QMetaObject::invokeMethod(
+ qApp, "handleRunawayException",
+ blockingGUIThreadConnection(),
+ Q_ARG(QString, "Unknown failure occurred."));
+ }
+ assert(ok);
+ },
+ type);
+ }
+
+ /**
+ * Shows a QDialog instance asynchronously, and deletes it on close.
+ */
+ void ShowModalDialogAsynchronously(QDialog* dialog);
+
+ inline bool IsEscapeOrBack(int key)
+ {
+ if (key == Qt::Key_Escape) return true;
+#ifdef Q_OS_ANDROID
+ if (key == Qt::Key_Back) return true;
+#endif // Q_OS_ANDROID
+ return false;
+ }
+
} // namespace GUIUtil
#endif // BITCOIN_QT_GUIUTIL_H
diff --git a/src/qt/initexecutor.cpp b/src/qt/initexecutor.cpp
new file mode 100644
index 0000000000..24ae7ba73d
--- /dev/null
+++ b/src/qt/initexecutor.cpp
@@ -0,0 +1,71 @@
+// Copyright (c) 2014-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <qt/initexecutor.h>
+
+#include <interfaces/node.h>
+#include <qt/guiutil.h>
+#include <util/system.h>
+#include <util/threadnames.h>
+
+#include <exception>
+
+#include <QDebug>
+#include <QObject>
+#include <QString>
+#include <QThread>
+
+InitExecutor::InitExecutor(interfaces::Node& node)
+ : QObject(), m_node(node)
+{
+ m_context.moveToThread(&m_thread);
+ m_thread.start();
+}
+
+InitExecutor::~InitExecutor()
+{
+ qDebug() << __func__ << ": Stopping thread";
+ m_thread.quit();
+ m_thread.wait();
+ qDebug() << __func__ << ": Stopped thread";
+}
+
+void InitExecutor::handleRunawayException(const std::exception* e)
+{
+ PrintExceptionContinue(e, "Runaway exception");
+ Q_EMIT runawayException(QString::fromStdString(m_node.getWarnings().translated));
+}
+
+void InitExecutor::initialize()
+{
+ GUIUtil::ObjectInvoke(&m_context, [this] {
+ try {
+ util::ThreadRename("qt-init");
+ qDebug() << "Running initialization in thread";
+ interfaces::BlockAndHeaderTipInfo tip_info;
+ bool rv = m_node.appInitMain(&tip_info);
+ Q_EMIT initializeResult(rv, tip_info);
+ } catch (const std::exception& e) {
+ handleRunawayException(&e);
+ } catch (...) {
+ handleRunawayException(nullptr);
+ }
+ });
+}
+
+void InitExecutor::shutdown()
+{
+ GUIUtil::ObjectInvoke(&m_context, [this] {
+ try {
+ qDebug() << "Running Shutdown in thread";
+ m_node.appShutdown();
+ qDebug() << "Shutdown finished";
+ Q_EMIT shutdownResult();
+ } catch (const std::exception& e) {
+ handleRunawayException(&e);
+ } catch (...) {
+ handleRunawayException(nullptr);
+ }
+ });
+}
diff --git a/src/qt/initexecutor.h b/src/qt/initexecutor.h
new file mode 100644
index 0000000000..410c44fa2d
--- /dev/null
+++ b/src/qt/initexecutor.h
@@ -0,0 +1,47 @@
+// Copyright (c) 2014-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_QT_INITEXECUTOR_H
+#define BITCOIN_QT_INITEXECUTOR_H
+
+#include <interfaces/node.h>
+
+#include <exception>
+
+#include <QObject>
+#include <QThread>
+
+QT_BEGIN_NAMESPACE
+class QString;
+QT_END_NAMESPACE
+
+/** Class encapsulating Bitcoin Core startup and shutdown.
+ * Allows running startup and shutdown in a different thread from the UI thread.
+ */
+class InitExecutor : public QObject
+{
+ Q_OBJECT
+public:
+ explicit InitExecutor(interfaces::Node& node);
+ ~InitExecutor();
+
+public Q_SLOTS:
+ void initialize();
+ void shutdown();
+
+Q_SIGNALS:
+ void initializeResult(bool success, interfaces::BlockAndHeaderTipInfo tip_info);
+ void shutdownResult();
+ void runawayException(const QString& message);
+
+private:
+ /// Pass fatal exception message to UI thread
+ void handleRunawayException(const std::exception* e);
+
+ interfaces::Node& m_node;
+ QObject m_context;
+ QThread m_thread;
+};
+
+#endif // BITCOIN_QT_INITEXECUTOR_H
diff --git a/src/qt/intro.cpp b/src/qt/intro.cpp
index aa6b2665fa..e9a4034e62 100644
--- a/src/qt/intro.cpp
+++ b/src/qt/intro.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -17,6 +17,7 @@
#include <interfaces/node.h>
#include <util/system.h>
+#include <validation.h>
#include <QFileDialog>
#include <QSettings>
@@ -66,7 +67,7 @@ FreespaceChecker::FreespaceChecker(Intro *_intro)
void FreespaceChecker::check()
{
QString dataDirStr = intro->getPathToCheck();
- fs::path dataDir = GUIUtil::qstringToBoostPath(dataDirStr);
+ fs::path dataDir = GUIUtil::QStringToPath(dataDirStr);
uint64_t freeBytesAvailable = 0;
int replyStatus = ST_OK;
QString replyMessage = tr("A new data directory will be created.");
@@ -112,7 +113,7 @@ namespace {
//! Return pruning size that will be used if automatic pruning is enabled.
int GetPruneTargetGB()
{
- int64_t prune_target_mib = gArgs.GetArg("-prune", 0);
+ int64_t prune_target_mib = gArgs.GetIntArg("-prune", 0);
// >1 means automatic pruning is enabled by config, 1 means manual pruning, 0 means no pruning.
return prune_target_mib > 1 ? PruneMiBtoGB(prune_target_mib) : DEFAULT_PRUNE_TARGET_GB;
}
@@ -139,17 +140,26 @@ Intro::Intro(QWidget *parent, int64_t blockchain_size_gb, int64_t chain_state_si
);
ui->lblExplanation2->setText(ui->lblExplanation2->text().arg(PACKAGE_NAME));
- if (gArgs.GetArg("-prune", 0) > 1) { // -prune=1 means enabled, above that it's a size in MiB
+ const int min_prune_target_GB = std::ceil(MIN_DISK_SPACE_FOR_BLOCK_FILES / 1e9);
+ ui->pruneGB->setRange(min_prune_target_GB, std::numeric_limits<int>::max());
+ if (gArgs.GetIntArg("-prune", 0) > 1) { // -prune=1 means enabled, above that it's a size in MiB
ui->prune->setChecked(true);
ui->prune->setEnabled(false);
}
- ui->prune->setText(tr("Discard blocks after verification, except most recent %1 GB (prune)").arg(m_prune_target_gb));
+ ui->pruneGB->setValue(m_prune_target_gb);
+ ui->pruneGB->setToolTip(ui->prune->toolTip());
+ ui->lblPruneSuffix->setToolTip(ui->prune->toolTip());
UpdatePruneLabels(ui->prune->isChecked());
connect(ui->prune, &QCheckBox::toggled, [this](bool prune_checked) {
UpdatePruneLabels(prune_checked);
UpdateFreeSpaceLabel();
});
+ connect(ui->pruneGB, qOverload<int>(&QSpinBox::valueChanged), [this](int prune_GB) {
+ m_prune_target_gb = prune_GB;
+ UpdatePruneLabels(ui->prune->isChecked());
+ UpdateFreeSpaceLabel();
+ });
startThread();
}
@@ -182,7 +192,17 @@ void Intro::setDataDirectory(const QString &dataDir)
}
}
-bool Intro::showIfNeeded(bool& did_show_intro, bool& prune)
+int64_t Intro::getPruneMiB() const
+{
+ switch (ui->prune->checkState()) {
+ case Qt::Checked:
+ return PruneGBtoMiB(m_prune_target_gb);
+ case Qt::Unchecked: default:
+ return 0;
+ }
+}
+
+bool Intro::showIfNeeded(bool& did_show_intro, int64_t& prune_MiB)
{
did_show_intro = false;
@@ -196,7 +216,7 @@ bool Intro::showIfNeeded(bool& did_show_intro, bool& prune)
/* 2) Allow QSettings to override default dir */
dataDir = settings.value("strDataDir", dataDir).toString();
- if(!fs::exists(GUIUtil::qstringToBoostPath(dataDir)) || gArgs.GetBoolArg("-choosedatadir", DEFAULT_CHOOSE_DATADIR) || settings.value("fReset", false).toBool() || gArgs.GetBoolArg("-resetguisettings", false))
+ if(!fs::exists(GUIUtil::QStringToPath(dataDir)) || gArgs.GetBoolArg("-choosedatadir", DEFAULT_CHOOSE_DATADIR) || settings.value("fReset", false).toBool() || gArgs.GetBoolArg("-resetguisettings", false))
{
/* Use selectParams here to guarantee Params() can be used by node interface */
try {
@@ -220,9 +240,9 @@ bool Intro::showIfNeeded(bool& did_show_intro, bool& prune)
}
dataDir = intro.getDataDirectory();
try {
- if (TryCreateDirectories(GUIUtil::qstringToBoostPath(dataDir))) {
+ if (TryCreateDirectories(GUIUtil::QStringToPath(dataDir))) {
// If a new data directory has been created, make wallets subdirectory too
- TryCreateDirectories(GUIUtil::qstringToBoostPath(dataDir) / "wallets");
+ TryCreateDirectories(GUIUtil::QStringToPath(dataDir) / "wallets");
}
break;
} catch (const fs::filesystem_error&) {
@@ -233,7 +253,7 @@ bool Intro::showIfNeeded(bool& did_show_intro, bool& prune)
}
// Additional preferences:
- prune = intro.ui->prune->isChecked();
+ prune_MiB = intro.getPruneMiB();
settings.setValue("strDataDir", dataDir);
settings.setValue("fReset", false);
@@ -243,7 +263,7 @@ bool Intro::showIfNeeded(bool& did_show_intro, bool& prune)
* (to be consistent with bitcoind behavior)
*/
if(dataDir != GUIUtil::getDefaultDataDirectory()) {
- gArgs.SoftSetArg("-datadir", GUIUtil::qstringToBoostPath(dataDir).string()); // use OS locale for path setting
+ gArgs.SoftSetArg("-datadir", fs::PathToString(GUIUtil::QStringToPath(dataDir))); // use OS locale for path setting
}
return true;
}
@@ -278,12 +298,12 @@ void Intro::setStatus(int status, const QString &message, quint64 bytesAvailable
void Intro::UpdateFreeSpaceLabel()
{
- QString freeString = tr("%n GB of free space available", "", m_bytes_available / GB_BYTES);
+ QString freeString = tr("%1 GB of free space available").arg(m_bytes_available / GB_BYTES);
if (m_bytes_available < m_required_space_gb * GB_BYTES) {
- freeString += " " + tr("(of %n GB needed)", "", m_required_space_gb);
+ freeString += " " + tr("(of %1 GB needed)").arg(m_required_space_gb);
ui->freeSpace->setStyleSheet("QLabel { color: #800000 }");
} else if (m_bytes_available / GB_BYTES - m_required_space_gb < 10) {
- freeString += " " + tr("(%n GB needed for full chain)", "", m_required_space_gb);
+ freeString += " " + tr("(%1 GB needed for full chain)").arg(m_required_space_gb);
ui->freeSpace->setStyleSheet("QLabel { color: #999900 }");
} else {
ui->freeSpace->setStyleSheet("");
@@ -361,6 +381,13 @@ void Intro::UpdatePruneLabels(bool prune_checked)
storageRequiresMsg = tr("Approximately %1 GB of data will be stored in this directory.");
}
ui->lblExplanation3->setVisible(prune_checked);
+ ui->pruneGB->setEnabled(prune_checked);
+ static constexpr uint64_t nPowTargetSpacing = 10 * 60; // from chainparams, which we don't have at this stage
+ static constexpr uint32_t expected_block_data_size = 2250000; // includes undo data
+ const uint64_t expected_backup_days = m_prune_target_gb * 1e9 / (uint64_t(expected_block_data_size) * 86400 / nPowTargetSpacing);
+ ui->lblPruneSuffix->setText(
+ //: Explanatory text on the capability of the current prune target.
+ tr("(sufficient to restore backups %n day(s) old)", "", expected_backup_days));
ui->sizeWarningLabel->setText(
tr("%1 will download and store a copy of the Bitcoin block chain.").arg(PACKAGE_NAME) + " " +
storageRequiresMsg.arg(m_required_space_gb) + " " +
diff --git a/src/qt/intro.h b/src/qt/intro.h
index 51f42de7ac..d9c45007e1 100644
--- a/src/qt/intro.h
+++ b/src/qt/intro.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -36,6 +36,7 @@ public:
QString getDataDirectory();
void setDataDirectory(const QString &dataDir);
+ int64_t getPruneMiB() const;
/**
* Determine data directory. Let the user choose if the current one doesn't exist.
@@ -44,10 +45,10 @@ public:
* @returns true if a data directory was selected, false if the user cancelled the selection
* dialog.
*
- * @note do NOT call global GetDataDir() before calling this function, this
+ * @note do NOT call global gArgs.GetDataDirNet() before calling this function, this
* will cause the wrong path to be cached.
*/
- static bool showIfNeeded(bool& did_show_intro, bool& prune);
+ static bool showIfNeeded(bool& did_show_intro, int64_t& prune_MiB);
Q_SIGNALS:
void requestCheck();
@@ -72,7 +73,7 @@ private:
//! Total required space (in GB) depending on user choice (prune or not prune).
int64_t m_required_space_gb{0};
uint64_t m_bytes_available{0};
- const int64_t m_prune_target_gb;
+ int64_t m_prune_target_gb;
void startThread();
void checkPath(const QString &dataDir);
diff --git a/src/qt/locale/bitcoin_en.ts b/src/qt/locale/bitcoin_en.ts
index c55cc65b63..93f0aee66c 100644
--- a/src/qt/locale/bitcoin_en.ts
+++ b/src/qt/locale/bitcoin_en.ts
@@ -55,11 +55,12 @@
</message>
<message>
<location line="-30"/>
+ <location filename="../addressbookpage.cpp" line="+122"/>
<source>&amp;Delete</source>
<translation>&amp;Delete</translation>
</message>
<message>
- <location filename="../addressbookpage.cpp" line="+84"/>
+ <location filename="../addressbookpage.cpp" line="-38"/>
<source>Choose the address to send coins to</source>
<translation type="unfinished"></translation>
</message>
@@ -95,7 +96,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+7"/>
+ <location line="+8"/>
<source>&amp;Copy Address</source>
<translation type="unfinished"></translation>
</message>
@@ -110,23 +111,25 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+179"/>
+ <location line="+164"/>
<source>Export Address List</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Comma separated file (*.csv)</source>
+ <location line="+3"/>
+ <source>Comma separated file</source>
+ <extracomment>Expanded name of the CSV file format. See: https://en.wikipedia.org/wiki/Comma-separated_values.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+13"/>
- <source>Exporting Failed</source>
+ <location line="+16"/>
+ <source>There was an error trying to save the address list to %1. Please try again.</source>
+ <extracomment>An error message. %1 is a stand-in argument for the name of the file we attempted to save to.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>There was an error trying to save the address list to %1. Please try again.</source>
+ <location line="-3"/>
+ <source>Exporting Failed</source>
<translation type="unfinished"></translation>
</message>
</context>
@@ -143,7 +146,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+36"/>
+ <location line="+38"/>
<source>(no label)</source>
<translation type="unfinished"></translation>
</message>
@@ -192,16 +195,6 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+3"/>
- <source>This operation needs your wallet passphrase to decrypt the wallet.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+5"/>
- <source>Decrypt wallet</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+3"/>
<source>Change passphrase</source>
<translation type="unfinished"></translation>
</message>
@@ -221,18 +214,18 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+19"/>
- <location line="+57"/>
+ <location line="+18"/>
+ <location line="+44"/>
<source>Wallet encrypted</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-147"/>
+ <location line="-125"/>
<source>Enter the new passphrase for the wallet.&lt;br/&gt;Please use a passphrase of &lt;b&gt;ten or more random characters&lt;/b&gt;, or &lt;b&gt;eight or more words&lt;/b&gt;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+23"/>
+ <location line="+15"/>
<source>Enter the old passphrase and new passphrase for the wallet.</source>
<translation type="unfinished"></translation>
</message>
@@ -252,7 +245,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+8"/>
+ <location line="+7"/>
<source>Your wallet is now encrypted. </source>
<translation type="unfinished"></translation>
</message>
@@ -262,49 +255,43 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
+ <location line="+6"/>
<location line="+8"/>
- <location line="+8"/>
- <location line="+43"/>
+ <location line="+32"/>
<location line="+6"/>
<source>Wallet encryption failed</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-56"/>
+ <location line="-45"/>
<source>Wallet encryption failed due to an internal error. Your wallet was not encrypted.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+8"/>
- <location line="+49"/>
+ <location line="+38"/>
<source>The supplied passphrases do not match.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-38"/>
+ <location line="-27"/>
<location line="+6"/>
<source>Wallet unlock failed</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="-5"/>
- <location line="+12"/>
- <location line="+19"/>
+ <location line="+20"/>
<source>The passphrase entered for the wallet decryption was incorrect.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-20"/>
- <source>Wallet decryption failed</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+14"/>
+ <location line="-6"/>
<source>Wallet passphrase was successfully changed.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+47"/>
+ <location line="+46"/>
<location line="+33"/>
<source>Warning: The Caps Lock key is on!</source>
<translation type="unfinished"></translation>
@@ -313,7 +300,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<context>
<name>BanTableModel</name>
<message>
- <location filename="../bantablemodel.cpp" line="+86"/>
+ <location filename="../bantablemodel.cpp" line="+85"/>
<source>IP/Netmask</source>
<translation type="unfinished"></translation>
</message>
@@ -324,19 +311,32 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
</context>
<context>
- <name>BitcoinGUI</name>
+ <name>BitcoinApplication</name>
<message>
- <location filename="../bitcoingui.cpp" line="+322"/>
- <source>Sign &amp;message...</source>
- <translation>Sign &amp;message...</translation>
+ <location filename="../bitcoin.cpp" line="+429"/>
+ <source>Runaway exception</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+669"/>
- <source>Synchronizing with network...</source>
- <translation>Synchronizing with network...</translation>
+ <location line="+1"/>
+ <source>A fatal error occurred. %1 can no longer continue safely and will quit.</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="-747"/>
+ <location line="+9"/>
+ <source>Internal error</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>An internal error occurred. %1 will attempt to continue safely. This is an unexpected bug which can be reported as described below.</source>
+ <translation type="unfinished"></translation>
+ </message>
+</context>
+<context>
+ <name>BitcoinGUI</name>
+ <message>
+ <location filename="../bitcoingui.cpp" line="+250"/>
<source>&amp;Overview</source>
<translation>&amp;Overview</translation>
</message>
@@ -386,82 +386,38 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Show information about Qt</translation>
</message>
<message>
- <location line="+2"/>
- <source>&amp;Options...</source>
- <translation>&amp;Options...</translation>
- </message>
- <message>
- <location line="+1"/>
- <source>Modify configuration options for %1</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+6"/>
- <source>&amp;Encrypt Wallet...</source>
- <translation>&amp;Encrypt Wallet...</translation>
- </message>
- <message>
<location line="+3"/>
- <source>&amp;Backup Wallet...</source>
- <translation>&amp;Backup Wallet...</translation>
- </message>
- <message>
- <location line="+2"/>
- <source>&amp;Change Passphrase...</source>
- <translation>&amp;Change Passphrase...</translation>
- </message>
- <message>
- <location line="+22"/>
- <source>Open &amp;URI...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+11"/>
- <source>Create Wallet...</source>
+ <source>Modify configuration options for %1</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
+ <location line="+46"/>
<source>Create a new wallet</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+210"/>
- <source>Wallet:</source>
+ <location line="+128"/>
+ <source>&amp;Minimize</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+351"/>
- <source>Click to disable network activity.</source>
+ <location line="+79"/>
+ <source>Wallet:</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
+ <location line="+371"/>
<source>Network activity disabled.</source>
+ <extracomment>A substring of the tooltip.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>Click to enable network activity again.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+27"/>
- <source>Syncing Headers (%1%)...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+57"/>
- <source>Reindexing blocks on disk...</source>
- <translation>Reindexing blocks on disk...</translation>
- </message>
- <message>
- <location line="+315"/>
+ <location line="+422"/>
<source>Proxy is &lt;b&gt;enabled&lt;/b&gt;: %1</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-1065"/>
+ <location line="-1103"/>
<source>Send coins to a Bitcoin address</source>
<translation>Send coins to a Bitcoin address</translation>
</message>
@@ -476,12 +432,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Change the passphrase used for wallet encryption</translation>
</message>
<message>
- <location line="+3"/>
- <source>&amp;Verify message...</source>
- <translation>&amp;Verify message...</translation>
- </message>
- <message>
- <location line="-73"/>
+ <location line="-70"/>
<source>&amp;Send</source>
<translation>&amp;Send</translation>
</message>
@@ -491,7 +442,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>&amp;Receive</translation>
</message>
<message>
- <location line="+50"/>
+ <location line="+46"/>
+ <source>&amp;Options…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
<source>&amp;Show / Hide</source>
<translation>&amp;Show / Hide</translation>
</message>
@@ -501,22 +457,72 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Show or hide the main Window</translation>
</message>
<message>
- <location line="+3"/>
+ <location line="+2"/>
+ <source>&amp;Encrypt Wallet…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
<source>Encrypt the private keys that belong to your wallet</source>
<translation>Encrypt the private keys that belong to your wallet</translation>
</message>
<message>
- <location line="+7"/>
+ <location line="+2"/>
+ <source>&amp;Backup Wallet…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>&amp;Change Passphrase…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Sign &amp;message…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
<source>Sign messages with your Bitcoin addresses to prove you own them</source>
<translation>Sign messages with your Bitcoin addresses to prove you own them</translation>
</message>
<message>
- <location line="+2"/>
+ <location line="+1"/>
+ <source>&amp;Verify message…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
<source>Verify messages to ensure they were signed with specified Bitcoin addresses</source>
<translation>Verify messages to ensure they were signed with specified Bitcoin addresses</translation>
</message>
<message>
- <location line="+129"/>
+ <location line="+1"/>
+ <source>&amp;Load PSBT from file…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+16"/>
+ <source>Open &amp;URI…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+8"/>
+ <source>Close Wallet…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Create Wallet…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>Close All Wallets…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+95"/>
<source>&amp;File</source>
<translation>&amp;File</translation>
</message>
@@ -536,45 +542,57 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Tabs toolbar</translation>
</message>
<message>
- <location line="-281"/>
- <source>Request payments (generates QR codes and bitcoin: URIs)</source>
+ <location line="+435"/>
+ <source>Syncing Headers (%1%)…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+75"/>
- <source>Show the list of used sending addresses and labels</source>
+ <location line="+47"/>
+ <source>Synchronizing with network…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+5"/>
+ <source>Indexing blocks on disk…</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+2"/>
- <source>Show the list of used receiving addresses and labels</source>
+ <source>Processing blocks on disk…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+20"/>
- <source>&amp;Command-line options</source>
+ <location line="+4"/>
+ <source>Reindexing blocks on disk…</source>
<translation type="unfinished"></translation>
</message>
- <message numerus="yes">
- <location line="+556"/>
- <source>%n active connection(s) to Bitcoin network</source>
- <translation>
- <numerusform>%n active connection to Bitcoin network</numerusform>
- <numerusform>%n active connections to Bitcoin network</numerusform>
- </translation>
+ <message>
+ <location line="+6"/>
+ <source>Connecting to peers…</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+80"/>
- <source>Indexing blocks on disk...</source>
+ <location line="-778"/>
+ <source>Request payments (generates QR codes and bitcoin: URIs)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+75"/>
+ <source>Show the list of used sending addresses and labels</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+2"/>
- <source>Processing blocks on disk...</source>
+ <source>Show the list of used receiving addresses and labels</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+20"/>
+ <source>&amp;Command-line options</source>
<translation type="unfinished"></translation>
</message>
<message numerus="yes">
- <location line="+19"/>
+ <location line="+690"/>
<source>Processed %n block(s) of transaction history.</source>
<translation>
<numerusform>Processed %n block of transaction history.</numerusform>
@@ -587,7 +605,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>%1 behind</translation>
</message>
<message>
- <location line="+24"/>
+ <location line="+5"/>
+ <source>Catching up…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+19"/>
<source>Last received block was generated %1 ago.</source>
<translation>Last received block was generated %1 ago.</translation>
</message>
@@ -617,18 +640,13 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Up to date</translation>
</message>
<message>
- <location line="-695"/>
- <source>&amp;Load PSBT from file...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+1"/>
+ <location line="-727"/>
<source>Load Partially Signed Bitcoin Transaction</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Load PSBT from clipboard...</source>
+ <source>Load PSBT from &amp;clipboard…</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -672,22 +690,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Close Wallet...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+1"/>
+ <location line="+4"/>
<source>Close wallet</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+6"/>
- <source>Close All Wallets...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+1"/>
+ <location line="+7"/>
<source>Close all wallets</source>
<translation type="unfinished"></translation>
</message>
@@ -712,22 +720,17 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+21"/>
+ <location line="+20"/>
<source>No wallets available</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+64"/>
+ <location line="+63"/>
<source>&amp;Window</source>
<translation type="unfinished">&amp;Window</translation>
</message>
<message>
- <location line="+2"/>
- <source>Minimize</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+10"/>
+ <location line="+12"/>
<source>Zoom</source>
<translation type="unfinished"></translation>
</message>
@@ -737,22 +740,45 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+246"/>
+ <location line="+261"/>
<source>%1 client</source>
<translation type="unfinished"></translation>
</message>
+ <message numerus="yes">
+ <location line="+158"/>
+ <source>%n active connection(s) to Bitcoin network.</source>
+ <extracomment>A substring of the tooltip.</extracomment>
+ <translation type="unfinished">
+ <numerusform>%n active connection to Bitcoin network.</numerusform>
+ <numerusform>%n active connections to Bitcoin network.</numerusform>
+ </translation>
+ </message>
<message>
- <location line="+249"/>
- <source>Connecting to peers...</source>
+ <location line="+10"/>
+ <source>Click for more actions.</source>
+ <extracomment>A substring of the tooltip. &quot;More actions&quot; are available via the context menu.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+37"/>
- <source>Catching up...</source>
- <translation>Catching up...</translation>
+ <location line="+17"/>
+ <source>Show Peers tab</source>
+ <extracomment>A context menu item. The &quot;Peers tab&quot; is an element of the &quot;Node window&quot;.</extracomment>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+47"/>
+ <location line="+8"/>
+ <source>Disable network activity</source>
+ <extracomment>A context menu item.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Enable network activity</source>
+ <extracomment>A context menu item. The network activity was disabled previously.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+158"/>
<source>Error: %1</source>
<translation type="unfinished"></translation>
</message>
@@ -762,7 +788,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+100"/>
+ <location line="+108"/>
<source>Date: %1
</source>
<translation type="unfinished"></translation>
@@ -823,7 +849,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+19"/>
+ <location line="+17"/>
<source>Wallet is &lt;b&gt;encrypted&lt;/b&gt; and currently &lt;b&gt;unlocked&lt;/b&gt;</source>
<translation>Wallet is &lt;b&gt;encrypted&lt;/b&gt; and currently &lt;b&gt;unlocked&lt;/b&gt;</translation>
</message>
@@ -833,15 +859,10 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Wallet is &lt;b&gt;encrypted&lt;/b&gt; and currently &lt;b&gt;locked&lt;/b&gt;</translation>
</message>
<message>
- <location line="+129"/>
+ <location line="+119"/>
<source>Original message:</source>
<translation type="unfinished"></translation>
</message>
- <message>
- <location filename="../bitcoin.cpp" line="+418"/>
- <source>A fatal error occurred. %1 can no longer continue safely and will quit.</source>
- <translation type="unfinished"></translation>
- </message>
</context>
<context>
<name>CoinControlDialog</name>
@@ -931,38 +952,42 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished">Confirmed</translation>
</message>
<message>
- <location filename="../coincontroldialog.cpp" line="+54"/>
- <source>Copy address</source>
+ <location filename="../coincontroldialog.cpp" line="+69"/>
+ <source>Copy amount</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Copy label</source>
+ <location line="-11"/>
+ <source>&amp;Copy address</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <location line="+26"/>
- <source>Copy amount</source>
+ <source>Copy &amp;label</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-25"/>
- <source>Copy transaction ID</source>
+ <location line="+1"/>
+ <source>Copy &amp;amount</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Lock unspent</source>
+ <source>Copy transaction &amp;ID and output index</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>L&amp;ock unspent</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Unlock unspent</source>
+ <source>&amp;Unlock unspent</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+22"/>
+ <location line="+4"/>
<source>Copy quantity</source>
<translation type="unfinished"></translation>
</message>
@@ -992,7 +1017,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+302"/>
+ <location line="+306"/>
<source>(%1 locked)</source>
<translation type="unfinished"></translation>
</message>
@@ -1017,7 +1042,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+38"/>
+ <location line="+47"/>
<location line="+54"/>
<source>(no label)</source>
<translation type="unfinished"></translation>
@@ -1036,12 +1061,19 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<context>
<name>CreateWalletActivity</name>
<message>
- <location filename="../walletcontroller.cpp" line="+241"/>
- <source>Creating Wallet &lt;b&gt;%1&lt;/b&gt;...</source>
+ <location filename="../walletcontroller.cpp" line="+243"/>
+ <source>Create Wallet</source>
+ <extracomment>Title of window indicating the progress of creation of a new wallet.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+28"/>
+ <location line="+3"/>
+ <source>Creating Wallet &lt;b&gt;%1&lt;/b&gt;…</source>
+ <extracomment>Descriptive text of the create wallet progress window which indicates to the user which wallet is currently being created.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+29"/>
<source>Create wallet failed</source>
<translation type="unfinished"></translation>
</message>
@@ -1050,6 +1082,11 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<source>Create wallet warning</source>
<translation type="unfinished"></translation>
</message>
+ <message>
+ <location line="+16"/>
+ <source>Can&apos;t list signers</source>
+ <translation type="unfinished"></translation>
+ </message>
</context>
<context>
<name>CreateWalletDialog</name>
@@ -1059,12 +1096,17 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+38"/>
+ <location line="+11"/>
<source>Wallet Name</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+13"/>
+ <source>Wallet</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+9"/>
<source>Encrypt the wallet. The wallet will be encrypted with a passphrase of your choice.</source>
<translation type="unfinished"></translation>
</message>
@@ -1074,7 +1116,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+19"/>
+ <location line="+26"/>
+ <source>Advanced Options</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+9"/>
<source>Disable private keys for this wallet. Wallets with private keys disabled will have no private keys and cannot have an HD seed or imported private keys. This is ideal for watch-only wallets.</source>
<translation type="unfinished"></translation>
</message>
@@ -1084,7 +1131,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+13"/>
+ <location line="+7"/>
<source>Make a blank wallet. Blank wallets do not initially have private keys or scripts. Private keys and addresses can be imported, or an HD seed can be set, at a later time.</source>
<translation type="unfinished"></translation>
</message>
@@ -1094,7 +1141,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+13"/>
+ <location line="+7"/>
<source>Use descriptors for scriptPubKey management</source>
<translation type="unfinished"></translation>
</message>
@@ -1104,15 +1151,31 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../createwalletdialog.cpp" line="+19"/>
+ <location line="+10"/>
+ <source>Use an external signing device such as a hardware wallet. Configure the external signer script in wallet preferences first.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>External signer</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location filename="../createwalletdialog.cpp" line="+22"/>
<source>Create</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+20"/>
+ <location line="+68"/>
<source>Compiled without sqlite support (required for descriptor wallets)</source>
<translation type="unfinished"></translation>
</message>
+ <message>
+ <location line="+14"/>
+ <source>Compiled without external signing support (required for external signing)</source>
+ <extracomment>&quot;External signing&quot; means using devices such as hardware wallets.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
</context>
<context>
<name>EditAddressDialog</name>
@@ -1185,7 +1248,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<context>
<name>FreespaceChecker</name>
<message>
- <location filename="../intro.cpp" line="+72"/>
+ <location filename="../intro.cpp" line="+73"/>
<source>A new data directory will be created.</source>
<translation>A new data directory will be created.</translation>
</message>
@@ -1251,12 +1314,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+10"/>
+ <location line="+32"/>
+ <source>Limit block chain storage to</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>Reverting this setting requires re-downloading the entire blockchain. It is faster to download the full chain first and prune it later. Disables some advanced features.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+10"/>
+ <location line="+7"/>
+ <source> GB</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="-32"/>
<source>This initial synchronisation is very demanding, and may expose hardware problems with your computer that had previously gone unnoticed. Each time you run %1, it will continue downloading where it left off.</source>
<translation type="unfinished"></translation>
</message>
@@ -1266,7 +1339,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-170"/>
+ <location line="-160"/>
<source>Use the default data directory</source>
<translation>Use the default data directory</translation>
</message>
@@ -1281,12 +1354,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished">Bitcoin</translation>
</message>
<message>
- <location line="+8"/>
- <source>Discard blocks after verification, except most recent %1 GB (prune)</source>
+ <location line="+162"/>
+ <source>%1 GB of free space available</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>(of %1 GB needed)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>(%1 GB needed for full chain)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+212"/>
+ <location line="+72"/>
<source>At least %1 GB of data will be stored in this directory, and it will grow over time.</source>
<translation type="unfinished"></translation>
</message>
@@ -1295,8 +1378,17 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<source>Approximately %1 GB of data will be stored in this directory.</source>
<translation type="unfinished"></translation>
</message>
+ <message numerus="yes">
+ <location line="+9"/>
+ <source>(sufficient to restore backups %n day(s) old)</source>
+ <extracomment>Explanatory text on the capability of the current prune target.</extracomment>
+ <translation type="unfinished">
+ <numerusform>(sufficient to restore backups %n day old)</numerusform>
+ <numerusform>(sufficient to restore backups %n days old)</numerusform>
+ </translation>
+ </message>
<message>
- <location line="+4"/>
+ <location line="+2"/>
<source>%1 will download and store a copy of the Bitcoin block chain.</source>
<translation type="unfinished"></translation>
</message>
@@ -1306,7 +1398,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-137"/>
+ <location line="-144"/>
<source>Error: Specified data directory &quot;%1&quot; cannot be created.</source>
<translation type="unfinished"></translation>
</message>
@@ -1315,29 +1407,20 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<source>Error</source>
<translation>Error</translation>
</message>
- <message numerus="yes">
- <location line="+21"/>
- <source>%n GB of free space available</source>
- <translation>
- <numerusform>%n GB of free space available</numerusform>
- <numerusform>%n GB of free space available</numerusform>
- </translation>
- </message>
- <message numerus="yes">
- <location line="+2"/>
- <source>(of %n GB needed)</source>
- <translation>
- <numerusform>(of %n GB needed)</numerusform>
- <numerusform>(of %n GB needed)</numerusform>
- </translation>
+</context>
+<context>
+ <name>LoadWalletsActivity</name>
+ <message>
+ <location filename="../walletcontroller.cpp" line="+69"/>
+ <source>Load Wallets</source>
+ <extracomment>Title of progress window which is displayed when wallets are being loaded.</extracomment>
+ <translation type="unfinished"></translation>
</message>
- <message numerus="yes">
+ <message>
<location line="+3"/>
- <source>(%n GB needed for full chain)</source>
- <translation type="unfinished">
- <numerusform></numerusform>
- <numerusform></numerusform>
- </translation>
+ <source>Loading wallets…</source>
+ <extracomment>Descriptive text of the load wallets progress window which indicates to the user that wallets are currently being loaded.</extracomment>
+ <translation type="unfinished"></translation>
</message>
</context>
<context>
@@ -1365,12 +1448,18 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<message>
<location line="+7"/>
<location line="+26"/>
- <location filename="../modaloverlay.cpp" line="+153"/>
- <source>Unknown...</source>
+ <location filename="../modaloverlay.cpp" line="+152"/>
+ <source>Unknown…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+44"/>
+ <location line="+20"/>
+ <source>calculating…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-13"/>
+ <location line="-77"/>
<source>Last block time</source>
<translation type="unfinished">Last block time</translation>
</message>
@@ -1380,18 +1469,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+34"/>
+ <location line="+24"/>
<source>Progress increase per hour</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+7"/>
<location line="+20"/>
- <source>calculating...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="-7"/>
<source>Estimated time left until synced</source>
<translation type="unfinished"></translation>
</message>
@@ -1406,13 +1489,13 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../modaloverlay.cpp" line="-119"/>
+ <location filename="../modaloverlay.cpp" line="-118"/>
<source>%1 is currently syncing. It will download headers and blocks from peers and validate them until reaching the tip of the block chain.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+125"/>
- <source>Unknown. Syncing Headers (%1, %2%)...</source>
+ <location line="+124"/>
+ <source>Unknown. Syncing Headers (%1, %2%)…</source>
<translation type="unfinished"></translation>
</message>
</context>
@@ -1428,11 +1511,17 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<source>URI:</source>
<translation type="unfinished"></translation>
</message>
+ <message>
+ <location line="+14"/>
+ <source>Paste address from clipboard</source>
+ <extracomment>Tooltip text for button that allows you to paste an address that is in your clipboard.</extracomment>
+ <translation type="unfinished">Paste address from clipboard</translation>
+ </message>
</context>
<context>
<name>OpenWalletActivity</name>
<message>
- <location filename="../walletcontroller.cpp" line="+39"/>
+ <location filename="../walletcontroller.cpp" line="-42"/>
<source>Open wallet failed</source>
<translation type="unfinished"></translation>
</message>
@@ -1447,8 +1536,15 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Opening Wallet &lt;b&gt;%1&lt;/b&gt;...</source>
+ <location line="+4"/>
+ <source>Open Wallet</source>
+ <extracomment>Title of window indicating the progress of opening of a wallet.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Opening Wallet &lt;b&gt;%1&lt;/b&gt;…</source>
+ <extracomment>Descriptive text of the open wallet progress window which indicates to the user which wallet is currently being opened.</extracomment>
<translation type="unfinished"></translation>
</message>
</context>
@@ -1475,17 +1571,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+72"/>
+ <location line="+22"/>
+ <source>Enabling pruning significantly reduces the disk space required to store transactions. All blocks are still fully validated. Reverting this setting requires re-downloading the entire blockchain.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+53"/>
<source>Size of &amp;database cache</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+43"/>
+ <location line="+46"/>
<source>Number of script &amp;verification threads</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+161"/>
+ <location line="+231"/>
<location line="+187"/>
<source>IP address of the proxy (e.g. IPv4: 127.0.0.1 / IPv6: ::1)</source>
<translation type="unfinished"></translation>
@@ -1498,28 +1599,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+146"/>
- <source>Hide the icon from the system tray.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+3"/>
- <source>&amp;Hide tray icon</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+17"/>
+ <location line="+169"/>
<source>Minimize instead of exit the application when the window is closed. When this option is enabled, the application will be closed only after selecting Exit in the menu.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+80"/>
- <location line="+13"/>
- <source>Third party URLs (e.g. a block explorer) that appear in the transactions tab as context menu items. %s in the URL is replaced by transaction hash. Multiple URLs are separated by vertical bar |.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+79"/>
+ <location line="+272"/>
<source>Open the %1 configuration file from the working directory.</source>
<translation type="unfinished"></translation>
</message>
@@ -1539,17 +1624,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>&amp;Reset Options</translation>
</message>
<message>
- <location line="-532"/>
+ <location line="-645"/>
<source>&amp;Network</source>
<translation>&amp;Network</translation>
</message>
<message>
- <location line="-191"/>
- <source>Disables some advanced features but all blocks will still be fully validated. Reverting this setting requires re-downloading the entire blockchain. Actual disk usage may be somewhat higher.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+3"/>
+ <location line="-254"/>
<source>Prune &amp;block storage to</source>
<translation type="unfinished"></translation>
</message>
@@ -1564,22 +1644,58 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+28"/>
+ <location line="+12"/>
+ <source>Maximum database cache size. A larger cache can contribute to faster sync, after which the benefit is less pronounced for most use cases. Lowering the cache size will reduce memory usage. Unused mempool memory is shared for this cache.</source>
+ <extracomment>Tooltip text for Options window setting that sets the size of the database cache. Explains the corresponding effects of increasing/decreasing this value.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+19"/>
<source>MiB</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+40"/>
+ <location line="+27"/>
+ <source>Set the number of script verification threads. Negative values correspond to the number of cores you want to leave free to the system.</source>
+ <extracomment>Tooltip text for Options window setting that sets the number of script verification threads. Explains that negative values mean to leave these many cores free to the system.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+16"/>
<source>(0 = auto, &lt;0 = leave that many cores free)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+36"/>
+ <location line="+22"/>
+ <source>This allows you or a third party tool to communicate with the node through command-line and JSON-RPC commands.</source>
+ <extracomment>Tooltip text for Options window setting that enables the RPC server.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Enable R&amp;PC server</source>
+ <extracomment>An Options window setting to enable the RPC server.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+21"/>
<source>W&amp;allet</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+6"/>
+ <source>Whether to set subtract fee from amount as default or not.</source>
+ <extracomment>Tooltip text for Options window setting that sets subtracting the fee from a sending amount as default.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Subtract &amp;fee from amount by default</source>
+ <extracomment>An Options window setting to set subtracting the fee from a sending amount as default.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+7"/>
<source>Expert</source>
<translation type="unfinished"></translation>
</message>
@@ -1599,7 +1715,34 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+30"/>
+ <location line="+7"/>
+ <source>Enable &amp;PSBT controls</source>
+ <extracomment>An options window setting to enable PSBT controls.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Whether to show PSBT controls.</source>
+ <extracomment>Tooltip text for options window setting that enables PSBT controls.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+10"/>
+ <source>External Signer (e.g. hardware wallet)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+8"/>
+ <source>&amp;External signer script path</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+10"/>
+ <source>Full path to a Bitcoin Core compatible script (e.g. C:\Downloads\hwi.exe or /Users/you/Downloads/hwi.py). Beware: malware can steal your coins!</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+32"/>
<source>Automatically open the Bitcoin client port on the router. This only works when your router supports UPnP and it is enabled.</source>
<translation>Automatically open the Bitcoin client port on the router. This only works when your router supports UPnP and it is enabled.</translation>
</message>
@@ -1610,6 +1753,16 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+7"/>
+ <source>Automatically open the Bitcoin client port on the router. This only works when your router supports NAT-PMP and it is enabled. The external port could be random.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Map port using NA&amp;T-PMP</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+7"/>
<source>Accept connections from outside.</source>
<translation type="unfinished"></translation>
</message>
@@ -1672,7 +1825,17 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>&amp;Window</translation>
</message>
<message>
- <location line="+16"/>
+ <location line="+6"/>
+ <source>Show the icon in the system tray.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>&amp;Show tray icon</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+10"/>
<source>Show only a tray icon after minimizing the window.</source>
<translation>Show only a tray icon after minimizing the window.</translation>
</message>
@@ -1712,12 +1875,23 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Choose the default subdivision unit to show in the interface and when sending coins.</translation>
</message>
<message>
- <location line="-450"/>
+ <location line="+11"/>
+ <location line="+13"/>
+ <source>Third-party URLs (e.g. a block explorer) that appear in the transactions tab as context menu items. %s in the URL is replaced by transaction hash. Multiple URLs are separated by vertical bar |.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="-10"/>
+ <source>&amp;Third-party transaction URLs</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="-517"/>
<source>Whether to show coin control features or not.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+250"/>
+ <location line="+300"/>
<source>Connect to the Bitcoin network through a separate SOCKS5 proxy for Tor onion services.</source>
<translation type="unfinished"></translation>
</message>
@@ -1727,12 +1901,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+211"/>
- <source>&amp;Third party transaction URLs</source>
+ <location line="+236"/>
+ <source>Monospaced font in the Overview tab:</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+44"/>
+ <location line="+8"/>
+ <source>embedded &quot;%1&quot;</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+49"/>
+ <source>closest matching &quot;%1&quot;</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+65"/>
<source>Options set in this dialog are overridden by the command line or in the configuration file:</source>
<translation type="unfinished"></translation>
</message>
@@ -1747,43 +1931,61 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>&amp;Cancel</translation>
</message>
<message>
- <location filename="../optionsdialog.cpp" line="+96"/>
+ <location filename="../optionsdialog.cpp" line="+99"/>
+ <source>Compiled without external signing support (required for external signing)</source>
+ <extracomment>&quot;External signing&quot; means using devices such as hardware wallets.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+12"/>
<source>default</source>
<translation>default</translation>
</message>
<message>
- <location line="+67"/>
+ <location line="+81"/>
<source>none</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+89"/>
+ <location line="+97"/>
<source>Confirm options reset</source>
<translation>Confirm options reset</translation>
</message>
<message>
<location line="+1"/>
- <location line="+60"/>
+ <location line="+70"/>
<source>Client restart required to activate changes.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-60"/>
+ <location line="-70"/>
<source>Client will be shut down. Do you want to proceed?</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+15"/>
+ <location line="+18"/>
<source>Configuration options</source>
+ <extracomment>Window title text of pop-up box that allows opening up of configuration file.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
+ <location line="+3"/>
<source>The configuration file is used to specify advanced user options which override GUI settings. Additionally, any command-line options will override this configuration file.</source>
+ <extracomment>Explanatory text about the priority order of instructions considered by client. The order from high to low being: command-line, configuration file, GUI settings.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
+ <location line="+3"/>
+ <source>Continue</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>Cancel</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+9"/>
<source>Error</source>
<translation type="unfinished">Error</translation>
</message>
@@ -1793,7 +1995,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+43"/>
+ <location line="+40"/>
<source>This change would require a client restart.</source>
<translation type="unfinished"></translation>
</message>
@@ -1812,12 +2014,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+62"/>
- <location line="+394"/>
+ <location line="+335"/>
<source>The displayed information may be out of date. Your wallet automatically synchronizes with the Bitcoin network after a connection is established, but this process has not completed yet.</source>
<translation>The displayed information may be out of date. Your wallet automatically synchronizes with the Bitcoin network after a connection is established, but this process has not completed yet.</translation>
</message>
<message>
- <location line="-141"/>
+ <location line="-127"/>
<source>Watch-only:</source>
<translation type="unfinished"></translation>
</message>
@@ -1827,22 +2029,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+17"/>
+ <location line="+10"/>
<source>Your current spendable balance</source>
<translation>Your current spendable balance</translation>
</message>
<message>
- <location line="+42"/>
+ <location line="+35"/>
<source>Pending:</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-242"/>
+ <location line="-200"/>
<source>Total of transactions that have yet to be confirmed, and do not yet count toward the spendable balance</source>
<translation>Total of transactions that have yet to be confirmed, and do not yet count toward the spendable balance</translation>
</message>
<message>
- <location line="+114"/>
+ <location line="+100"/>
<source>Immature:</source>
<translation>Immature:</translation>
</message>
@@ -1852,22 +2054,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>Mined balance that has not yet matured</translation>
</message>
<message>
- <location line="-181"/>
+ <location line="-150"/>
<source>Balances</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+164"/>
+ <location line="+140"/>
<source>Total:</source>
<translation>Total:</translation>
</message>
<message>
- <location line="+63"/>
+ <location line="+49"/>
<source>Your current total balance</source>
<translation>Your current total balance</translation>
</message>
<message>
- <location line="+95"/>
+ <location line="+74"/>
<source>Your current balance in watch-only addresses</source>
<translation type="unfinished"></translation>
</message>
@@ -1882,22 +2084,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-324"/>
+ <location line="-275"/>
<source>Unconfirmed transactions to watch-only addresses</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+52"/>
+ <location line="+38"/>
<source>Mined balance in watch-only addresses that has not yet matured</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+131"/>
+ <location line="+110"/>
<source>Current total balance in watch-only addresses</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../overviewpage.cpp" line="+166"/>
+ <location filename="../overviewpage.cpp" line="+187"/>
<source>Privacy mode activated for the Overview tab. To unmask the values, uncheck Settings-&gt;Mask values.</source>
<translation type="unfinished"></translation>
</message>
@@ -1926,7 +2128,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+7"/>
- <source>Save...</source>
+ <source>Save…</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -1935,17 +2137,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../psbtoperationsdialog.cpp" line="+55"/>
+ <location filename="../psbtoperationsdialog.cpp" line="+58"/>
<source>Failed to load transaction: %1</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+18"/>
+ <location line="+25"/>
<source>Failed to sign transaction: %1</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+8"/>
+ <source>Cannot sign inputs while wallet is locked.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
<source>Could not sign any more inputs.</source>
<translation type="unfinished"></translation>
</message>
@@ -1985,8 +2192,9 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Partially Signed Transaction (Binary) (*.psbt)</source>
+ <location line="+2"/>
+ <source>Partially Signed Transaction (Binary)</source>
+ <extracomment>Expanded name of the binary PSBT file format. See: BIP 174.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
@@ -2025,7 +2233,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+42"/>
+ <location line="+46"/>
<source>Transaction is missing some information about inputs.</source>
<translation type="unfinished"></translation>
</message>
@@ -2036,6 +2244,11 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+3"/>
+ <source>(But no wallet is loaded.)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>(But this wallet cannot sign transactions.)</source>
<translation type="unfinished"></translation>
</message>
@@ -2058,7 +2271,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<context>
<name>PaymentServer</name>
<message>
- <location filename="../paymentserver.cpp" line="+174"/>
+ <location filename="../paymentserver.cpp" line="+173"/>
<source>Payment request error</source>
<translation type="unfinished"></translation>
</message>
@@ -2069,42 +2282,27 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+50"/>
- <location line="+13"/>
+ <location line="+16"/>
<location line="+6"/>
<location line="+7"/>
<source>URI handling</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-26"/>
+ <location line="-29"/>
<source>&apos;bitcoin://&apos; is not a valid URI. Use &apos;bitcoin:&apos; instead.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+14"/>
- <location line="+23"/>
- <source>Cannot process payment request because BIP70 is not supported.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="-22"/>
- <location line="+23"/>
- <source>Due to widespread security flaws in BIP70 it&apos;s strongly recommended that any merchant instructions to switch wallets be ignored.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="-22"/>
+ <location line="+17"/>
<location line="+23"/>
- <source>If you are receiving this error you should request the merchant provide a BIP21 compatible URI.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="-20"/>
- <source>Invalid payment address %1</source>
+ <source>Cannot process payment request because BIP70 is not supported.
+Due to widespread security flaws in BIP70 it&apos;s strongly recommended that any merchant instructions to switch wallets be ignored.
+If you are receiving this error you should request the merchant provide a BIP21 compatible URI.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+8"/>
+ <location line="-10"/>
<source>URI cannot be parsed! This can be caused by an invalid Bitcoin address or malformed URI parameters.</source>
<translation type="unfinished"></translation>
</message>
@@ -2117,50 +2315,138 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<context>
<name>PeerTableModel</name>
<message>
- <location filename="../peertablemodel.cpp" line="+107"/>
+ <location filename="../peertablemodel.h" line="+108"/>
<source>User Agent</source>
+ <extracomment>Title of Peers Table column which contains the peer&apos;s User Agent string.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>Node/Service</source>
+ <location line="-9"/>
+ <source>Ping</source>
+ <extracomment>Title of Peers Table column which indicates the current latency of the connection with the peer.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>NodeId</source>
+ <location line="-15"/>
+ <source>Peer</source>
+ <extracomment>Title of Peers Table column which contains a unique number used to identify a connection.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>Ping</source>
+ <location line="+6"/>
+ <source>Direction</source>
+ <extracomment>Title of Peers Table column which indicates the direction the peer connection was initiated from.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
+ <location line="+12"/>
<source>Sent</source>
+ <extracomment>Title of Peers Table column which indicates the total amount of network information we have sent to the peer.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
+ <location line="+3"/>
<source>Received</source>
+ <extracomment>Title of Peers Table column which indicates the total amount of network information we have received from the peer.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="-18"/>
+ <source>Address</source>
+ <extracomment>Title of Peers Table column which contains the IP/Onion/I2P address of the connected peer.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+6"/>
+ <source>Type</source>
+ <extracomment>Title of Peers Table column which describes the type of peer connection. The &quot;type&quot; describes why the connection exists.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Network</source>
+ <extracomment>Title of Peers Table column which states the network the peer connected through.</extracomment>
+ <translation type="unfinished">Network</translation>
+ </message>
+ <message>
+ <location filename="../peertablemodel.cpp" line="+79"/>
+ <source>Inbound</source>
+ <extracomment>An Inbound Connection from a Peer.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Outbound</source>
+ <extracomment>An Outbound Connection to a Peer.</extracomment>
<translation type="unfinished"></translation>
</message>
</context>
<context>
<name>QObject</name>
<message>
- <location filename="../bitcoinunits.cpp" line="+209"/>
+ <location filename="../bitcoinunits.cpp" line="+215"/>
<source>Amount</source>
<translation type="unfinished">Amount</translation>
</message>
<message>
- <location filename="../guiutil.cpp" line="+108"/>
+ <location filename="../guiutil.cpp" line="+122"/>
<source>Enter a Bitcoin address (e.g. %1)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+652"/>
+ <location line="+546"/>
+ <source>Unroutable</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+6"/>
+ <source>Internal</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+13"/>
+ <source>Inbound</source>
+ <extracomment>An inbound connection from a peer. An inbound connection is a connection initiated by a peer.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Outbound</source>
+ <extracomment>An outbound connection to a peer. An outbound connection is a connection initiated by us.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+5"/>
+ <source>Full Relay</source>
+ <extracomment>Peer connection type that relays all network information.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Block Relay</source>
+ <extracomment>Peer connection type that relays network information about blocks and not transactions or addresses.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Manual</source>
+ <extracomment>Peer connection type established manually through one of several methods.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Feeler</source>
+ <extracomment>Short-lived peer connection type that tests the aliveness of known addresses.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Address Fetch</source>
+ <extracomment>Short-lived peer connection type that solicits known addresses from a peer.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+15"/>
<source>%1 d</source>
<translation type="unfinished"></translation>
</message>
@@ -2176,22 +2462,22 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+2"/>
- <location line="+26"/>
+ <location line="+28"/>
<source>%1 s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-10"/>
+ <location line="-12"/>
<source>None</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
+ <location line="+6"/>
<source>N/A</source>
<translation type="unfinished">N/A</translation>
</message>
<message>
- <location line="+0"/>
+ <location line="+1"/>
<source>%1 ms</source>
<translation type="unfinished"></translation>
</message>
@@ -2256,7 +2542,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+2"/>
- <source>%1 KB</source>
+ <source>%1 kB</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -2270,7 +2556,19 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../bitcoin.cpp" line="+105"/>
+ <location filename="../bitcoin.cpp" line="-272"/>
+ <source>Do you want to reset settings to default values, or to abort without making changes?</source>
+ <extracomment>Explanatory text shown on startup when the settings file cannot be read. Prompts user to make a choice between resetting or aborting.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+24"/>
+ <source>A fatal error occurred. Check that settings file is writable, or try running with -nosettings.</source>
+ <extracomment>Explanatory text shown on startup when the settings file could not be written. Prompts user to check that we have the ability to write to the file. Explains that the user has the option of running without a settings file.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+359"/>
<source>Error: Specified data directory &quot;%1&quot; does not exist.</source>
<translation type="unfinished"></translation>
</message>
@@ -2285,17 +2583,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+9"/>
- <source>Error initializing settings: %1</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+63"/>
- <source>%1 didn&apos;t yet exit safely...</source>
+ <location line="+71"/>
+ <source>%1 didn&apos;t yet exit safely…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../modaloverlay.cpp" line="-36"/>
+ <location filename="../modaloverlay.cpp" line="-35"/>
<source>unknown</source>
<translation type="unfinished"></translation>
</message>
@@ -2304,16 +2597,16 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<name>QRImageWidget</name>
<message>
<location filename="../qrimagewidget.cpp" line="+30"/>
- <source>&amp;Save Image...</source>
+ <source>&amp;Save Image…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
+ <location line="+1"/>
<source>&amp;Copy Image</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+13"/>
+ <location line="+11"/>
<source>Resulting URI too long, try to reduce the text for label / message.</source>
<translation type="unfinished"></translation>
</message>
@@ -2328,13 +2621,14 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+32"/>
+ <location line="+30"/>
<source>Save QR Code</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>PNG Image (*.png)</source>
+ <location line="+3"/>
+ <source>PNG Image</source>
+ <extracomment>Expanded name of the PNG file format. See: https://en.wikipedia.org/wiki/Portable_Network_Graphics.</extracomment>
<translation type="unfinished"></translation>
</message>
</context>
@@ -2344,7 +2638,6 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<location filename="../forms/debugwindow.ui" line="+75"/>
<location line="+26"/>
<location line="+26"/>
- <location line="+26"/>
<location line="+29"/>
<location line="+26"/>
<location line="+36"/>
@@ -2353,15 +2646,20 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<location line="+23"/>
<location line="+36"/>
<location line="+23"/>
- <location line="+710"/>
- <location line="+23"/>
+ <location line="+692"/>
+ <location line="+26"/>
+ <location line="+26"/>
<location line="+23"/>
<location line="+23"/>
<location line="+23"/>
+ <location line="+29"/>
+ <location line="+26"/>
<location line="+23"/>
<location line="+23"/>
<location line="+23"/>
<location line="+23"/>
+ <location line="+26"/>
+ <location line="+26"/>
<location line="+23"/>
<location line="+23"/>
<location line="+23"/>
@@ -2371,13 +2669,15 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<location line="+23"/>
<location line="+23"/>
<location line="+26"/>
- <location filename="../rpcconsole.cpp" line="+1127"/>
- <location line="+8"/>
+ <location line="+26"/>
+ <location line="+26"/>
+ <location line="+26"/>
+ <location filename="../rpcconsole.h" line="+139"/>
<source>N/A</source>
<translation>N/A</translation>
</message>
<message>
- <location line="-1427"/>
+ <location line="-1597"/>
<source>Client version</source>
<translation>Client version</translation>
</message>
@@ -2393,11 +2693,6 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+56"/>
- <source>Using BerkeleyDB version</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+26"/>
<source>Datadir</source>
<translation type="unfinished"></translation>
</message>
@@ -2423,11 +2718,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+29"/>
+ <location line="+892"/>
<source>Network</source>
<translation>Network</translation>
</message>
<message>
- <location line="+7"/>
+ <location line="-885"/>
<source>Name</source>
<translation type="unfinished"></translation>
</message>
@@ -2467,51 +2763,45 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+241"/>
+ <location line="+211"/>
<source>&amp;Reset</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+80"/>
- <location line="+560"/>
+ <location line="+708"/>
<source>Received</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-480"/>
- <location line="+457"/>
+ <location line="-628"/>
+ <location line="+605"/>
<source>Sent</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-416"/>
+ <location line="-564"/>
<source>&amp;Peers</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+67"/>
+ <location line="+76"/>
<source>Banned peers</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+65"/>
- <location filename="../rpcconsole.cpp" line="-637"/>
- <location line="+766"/>
+ <location line="+68"/>
+ <location filename="../rpcconsole.cpp" line="+1158"/>
<source>Select a peer to view detailed information.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+54"/>
- <source>Direction</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+23"/>
+ <location line="+106"/>
<source>Version</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+69"/>
+ <location line="+124"/>
<source>Starting Block</source>
<translation type="unfinished"></translation>
</message>
@@ -2526,7 +2816,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+233"/>
+ <location line="+75"/>
+ <source>Last Transaction</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+210"/>
<source>The mapped Autonomous System used for diversifying peer selection.</source>
<translation type="unfinished"></translation>
</message>
@@ -2536,18 +2831,51 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-1394"/>
- <location line="+1066"/>
+ <location line="+23"/>
+ <source>Whether we relay addresses to this peer.</source>
+ <extracomment>Tooltip text for the Address Relay field in the peer details area.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Address Relay</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+23"/>
+ <source>Total number of addresses processed, excluding those dropped due to rate-limiting.</source>
+ <extracomment>Tooltip text for the Addresses Processed field in the peer details area.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Addresses Processed</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+23"/>
+ <source>Total number of addresses dropped due to rate-limiting.</source>
+ <extracomment>Tooltip text for the Addresses Rate-Limited field in the peer details area.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Addresses Rate-Limited</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="-1564"/>
+ <location line="+1051"/>
<source>User Agent</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-1140"/>
+ <location line="-1125"/>
<source>Node window</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+279"/>
+ <location line="+253"/>
<source>Current block height</source>
<translation type="unfinished"></translation>
</message>
@@ -2557,12 +2885,12 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+84"/>
+ <location line="+78"/>
<source>Decrease font size</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+32"/>
+ <location line="+20"/>
<source>Increase font size</source>
<translation type="unfinished"></translation>
</message>
@@ -2572,17 +2900,68 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+92"/>
+ <location line="+23"/>
+ <source>The direction and type of peer connection: %1</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Direction/Type</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+23"/>
+ <source>The network protocol this peer is connected through: IPv4, IPv6, Onion, I2P, or CJDNS.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+72"/>
<source>Services</source>
<translation type="unfinished"></translation>
</message>
<message>
+ <location line="+26"/>
+ <source>Whether the peer requested us to relay transactions.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Wants Tx Relay</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+23"/>
+ <source>High bandwidth BIP152 compact block relay: %1</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>High Bandwidth</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
<location line="+92"/>
<source>Connection Time</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+23"/>
+ <source>Elapsed time since a novel block passing initial validity checks was received from this peer.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Last Block</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+23"/>
+ <source>Elapsed time since a novel transaction accepted into our mempool was received from this peer.</source>
+ <extracomment>Tooltip text for the Last Transaction field in the peer details area.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+26"/>
<source>Last Send</source>
<translation type="unfinished"></translation>
</message>
@@ -2617,7 +2996,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-1140"/>
+ <location line="-1258"/>
<source>Last block time</source>
<translation>Last block time</translation>
</message>
@@ -2632,7 +3011,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation>&amp;Console</translation>
</message>
<message>
- <location line="+217"/>
+ <location line="+187"/>
<source>&amp;Network Traffic</source>
<translation type="unfinished"></translation>
</message>
@@ -2642,7 +3021,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../rpcconsole.cpp" line="-416"/>
+ <location filename="../rpcconsole.cpp" line="-201"/>
<source>In:</source>
<translation type="unfinished"></translation>
</message>
@@ -2652,85 +3031,169 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../forms/debugwindow.ui" line="-321"/>
+ <location filename="../forms/debugwindow.ui" line="-291"/>
<source>Debug log file</source>
<translation>Debug log file</translation>
</message>
<message>
- <location line="+155"/>
+ <location line="+125"/>
<source>Clear console</source>
<translation>Clear console</translation>
</message>
<message>
- <location filename="../rpcconsole.cpp" line="-243"/>
- <source>1 &amp;hour</source>
+ <location filename="../rpcconsole.h" line="-1"/>
+ <source>Yes</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>1 &amp;day</source>
+ <location line="+0"/>
+ <source>No</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>1 &amp;week</source>
+ <location line="+0"/>
+ <source>To</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+0"/>
+ <source>From</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>1 &amp;year</source>
+ <source>Ban for</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-4"/>
- <source>&amp;Disconnect</source>
+ <location line="+41"/>
+ <source>Never</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location filename="../rpcconsole.cpp" line="-457"/>
+ <source>Inbound: initiated by peer</source>
+ <extracomment>Explanatory text for an inbound peer connection.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>Outbound Full Relay: default</source>
+ <extracomment>Explanatory text for an outbound peer connection that relays all network information. This is the default behavior for outbound connections.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Outbound Block Relay: does not relay transactions or addresses</source>
+ <extracomment>Explanatory text for an outbound peer connection that relays network information about blocks and not transactions or addresses.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+5"/>
+ <source>Outbound Manual: added using RPC %1 or %2/%3 configuration options</source>
+ <extracomment>Explanatory text for an outbound peer connection that was established manually through one of several methods. The numbered arguments are stand-ins for the methods available to establish manual connections.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+6"/>
+ <source>Outbound Feeler: short-lived, for testing addresses</source>
+ <extracomment>Explanatory text for a short-lived outbound peer connection that is used to test the aliveness of known addresses.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Outbound Address Fetch: short-lived, for soliciting addresses</source>
+ <extracomment>Explanatory text for a short-lived outbound peer connection that is used to request addresses from a peer.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>we selected the peer for high bandwidth relay</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
+ <source>the peer selected us for high bandwidth relay</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
<location line="+1"/>
- <location line="+1"/>
- <location line="+1"/>
- <source>Ban for</source>
+ <source>no high bandwidth relay selected</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+38"/>
- <source>&amp;Unban</source>
+ <location line="+13"/>
+ <source>Ctrl++</source>
+ <extracomment>Main shortcut to increase the RPC console font size.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+164"/>
- <source>Welcome to the %1 RPC console.</source>
+ <location line="+2"/>
+ <source>Ctrl+=</source>
+ <extracomment>Secondary shortcut to increase the RPC console font size.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>Ctrl+-</source>
+ <extracomment>Main shortcut to decrease the RPC console font size.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Ctrl+_</source>
+ <extracomment>Secondary shortcut to decrease the RPC console font size.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+151"/>
+ <source>&amp;Copy address</source>
+ <extracomment>Context menu action to copy the address of a peer.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>&amp;Disconnect</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Use up and down arrows to navigate history, and %1 to clear screen.</source>
+ <source>1 &amp;hour</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Type %1 for an overview of available commands.</source>
+ <source>1 d&amp;ay</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>For more information on using this console type %1.</source>
+ <source>1 &amp;week</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>WARNING: Scammers have been active, telling users to type commands here, stealing their wallet contents. Do not use this console without fully understanding the ramifications of a command.</source>
+ <location line="+1"/>
+ <source>1 &amp;year</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+36"/>
+ <location line="+25"/>
+ <source>&amp;Copy IP/Netmask</source>
+ <extracomment>Context menu action to copy the IP/Netmask of a banned peer. IP/Netmask is the combination of a peer&apos;s IP address and its Netmask. For IP address, see: https://en.wikipedia.org/wiki/IP_address.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>&amp;Unban</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+224"/>
<source>Network activity disabled</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+66"/>
+ <location line="+77"/>
<source>Executing command without any wallet</source>
<translation type="unfinished"></translation>
</message>
@@ -2740,34 +3203,35 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+192"/>
- <source>(node id: %1)</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+2"/>
- <source>via %1</source>
+ <location line="-145"/>
+ <source>Welcome to the %1 RPC console.
+Use up and down arrows to navigate history, and %2 to clear screen.
+Use %3 and %4 to increase or decrease the font size.
+Type %5 for an overview of available commands.
+For more information on using this console, type %6.
+
+%7WARNING: Scammers have been active, telling users to type commands here, stealing their wallet contents. Do not use this console without fully understanding the ramifications of a command.%8</source>
+ <extracomment>RPC console welcome message. Placeholders %7 and %8 are style tags for the warning content, and they are not space separated from the rest of the text intentionally.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <location line="+1"/>
- <source>never</source>
+ <location line="+155"/>
+ <source>Executing…</source>
+ <extracomment>A console message indicating an entered command is currently being executed.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+10"/>
- <source>Inbound</source>
+ <location line="+118"/>
+ <source>(peer: %1)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>Outbound</source>
+ <location line="+2"/>
+ <source>via %1</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+20"/>
- <location line="+6"/>
+ <location filename="../rpcconsole.h" line="-41"/>
<source>Unknown</source>
<translation type="unfinished"></translation>
</message>
@@ -2836,17 +3300,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+78"/>
- <source>Native segwit addresses (aka Bech32 or BIP-173) reduce your transaction fees later on and offer better protection against typos, but old wallets don&apos;t support them. When unchecked, an address compatible with older wallets will be created instead.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+3"/>
- <source>Generate native segwit (Bech32) address</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+61"/>
+ <location line="+136"/>
<source>Requested payments history</source>
<translation type="unfinished"></translation>
</message>
@@ -2871,27 +3325,32 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../receivecoinsdialog.cpp" line="+45"/>
- <source>Copy URI</source>
+ <location filename="../receivecoinsdialog.cpp" line="+47"/>
+ <source>Copy &amp;URI</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>&amp;Copy address</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy label</source>
+ <source>Copy &amp;label</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy message</source>
+ <source>Copy &amp;message</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy amount</source>
+ <source>Copy &amp;amount</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+131"/>
+ <location line="+125"/>
<source>Could not unlock wallet.</source>
<translation type="unfinished"></translation>
</message>
@@ -2905,7 +3364,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<name>ReceiveRequestDialog</name>
<message>
<location filename="../forms/receiverequestdialog.ui" line="+14"/>
- <source>Request payment to ...</source>
+ <source>Request payment to …</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -2945,7 +3404,17 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
</message>
<message>
<location line="+10"/>
- <source>&amp;Save Image...</source>
+ <source>&amp;Verify</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Verify this address on e.g. a hardware wallet screen</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+10"/>
+ <source>&amp;Save Image…</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -2954,7 +3423,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location filename="../forms/receiverequestdialog.ui" line="-221"/>
+ <location filename="../forms/receiverequestdialog.ui" line="-234"/>
<source>Payment information</source>
<translation type="unfinished"></translation>
</message>
@@ -2962,7 +3431,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<context>
<name>RecentRequestsTableModel</name>
<message>
- <location filename="../recentrequeststablemodel.cpp" line="+27"/>
+ <location filename="../recentrequeststablemodel.cpp" line="+32"/>
<source>Date</source>
<translation type="unfinished">Date</translation>
</message>
@@ -2977,7 +3446,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+39"/>
+ <location line="+41"/>
<source>(no label)</source>
<translation type="unfinished"></translation>
</message>
@@ -2992,7 +3461,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+42"/>
+ <location line="+43"/>
<source>Requested</source>
<translation type="unfinished"></translation>
</message>
@@ -3001,7 +3470,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<name>SendCoinsDialog</name>
<message>
<location filename="../forms/sendcoinsdialog.ui" line="+14"/>
- <location filename="../sendcoinsdialog.cpp" line="+664"/>
+ <location filename="../sendcoinsdialog.cpp" line="+749"/>
<source>Send Coins</source>
<translation>Send Coins</translation>
</message>
@@ -3011,12 +3480,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+20"/>
- <source>Inputs...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+10"/>
+ <location line="+30"/>
<source>automatically selected</source>
<translation type="unfinished"></translation>
</message>
@@ -3071,12 +3535,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+14"/>
- <source>Choose...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+24"/>
+ <location line="+38"/>
<source>Using the fallbackfee can result in sending a transaction that will take several hours or days (or never) to confirm. Consider choosing your fee manually or wait until you have validated the complete chain.</source>
<translation type="unfinished"></translation>
</message>
@@ -3086,14 +3545,7 @@ Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+77"/>
- <source>Specify a custom fee per kB (1,000 bytes) of the transaction&apos;s virtual size.
-
-Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satoshis per kB&quot; for a transaction size of 500 bytes (half of 1 kB) would ultimately yield a fee of only 50 satoshis.</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+5"/>
+ <location line="+82"/>
<source>per kilobyte</source>
<translation type="unfinished"></translation>
</message>
@@ -3113,12 +3565,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+49"/>
- <source>(Smart fee not initialized yet. This usually takes a few blocks...)</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+166"/>
+ <location line="+215"/>
<source>Send to multiple recipients at once</source>
<translation>Send to multiple recipients at once</translation>
</message>
@@ -3133,17 +3580,34 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-800"/>
+ <location line="-1033"/>
+ <source>Inputs…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+233"/>
<source>Dust:</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+457"/>
+ <location line="+398"/>
+ <source>Choose…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+59"/>
<source>Hide transaction fee settings</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+86"/>
+ <location line="+51"/>
+ <source>Specify a custom fee per kB (1,000 bytes) of the transaction&apos;s virtual size.
+
+Note: Since the fee is calculated on a per-byte basis, a fee rate of &quot;100 satoshis per kvB&quot; for a transaction size of 500 virtual bytes (half of 1 kvB) would ultimately yield a fee of only 50 satoshis.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+35"/>
<source>When there is less transaction volume than space in the blocks, miners as well as relaying nodes may enforce a minimum fee. Paying only this minimum fee is just fine, but be aware that this can result in a never confirming transaction once there is more demand for bitcoin transactions than the network can process.</source>
<translation type="unfinished"></translation>
</message>
@@ -3153,7 +3617,12 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+131"/>
+ <location line="+105"/>
+ <source>(Smart fee not initialized yet. This usually takes a few blocks…)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+26"/>
<source>Confirmation time target:</source>
<translation type="unfinished"></translation>
</message>
@@ -3188,7 +3657,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation>S&amp;end</translation>
</message>
<message>
- <location filename="../sendcoinsdialog.cpp" line="-572"/>
+ <location filename="../sendcoinsdialog.cpp" line="-653"/>
<source>Copy quantity</source>
<translation type="unfinished"></translation>
</message>
@@ -3223,12 +3692,29 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+74"/>
+ <location line="+76"/>
<source>%1 (%2 blocks)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+22"/>
+ <location line="+30"/>
+ <source>Sign on device</source>
+ <extracomment>&quot;device&quot; usually means a hardware wallet.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Connect your hardware wallet first.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>Set external signer script path in Options -&gt; Wallet</source>
+ <extracomment>&quot;External signer&quot; means using devices such as hardware wallets.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>Cr&amp;eate Unsigned</source>
<translation type="unfinished"></translation>
</message>
@@ -3253,28 +3739,36 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+7"/>
- <source>Do you want to draft this transaction?</source>
+ <location line="+67"/>
+ <source>To review recipient list click &quot;Show Details…&quot;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Are you sure you want to send?</source>
+ <location line="+44"/>
+ <source>Sign failed</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+71"/>
- <source>Create Unsigned</source>
+ <location line="+6"/>
+ <source>External signer not found</source>
+ <extracomment>&quot;External signer&quot; means using devices such as hardware wallets.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+44"/>
+ <location line="+6"/>
+ <source>External signer failure</source>
+ <extracomment>&quot;External signer&quot; means using devices such as hardware wallets.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+58"/>
<source>Save Transaction Data</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Partially Signed Transaction (Binary) (*.psbt)</source>
+ <location line="+2"/>
+ <source>Partially Signed Transaction (Binary)</source>
+ <extracomment>Expanded name of the binary PSBT file format. See: BIP 174.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
@@ -3283,7 +3777,12 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-75"/>
+ <location line="+176"/>
+ <source>External balance:</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="-303"/>
<source>or</source>
<translation type="unfinished"></translation>
</message>
@@ -3293,13 +3792,27 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-24"/>
+ <location line="-30"/>
<source>Please, review your transaction proposal. This will produce a Partially Signed Bitcoin Transaction (PSBT) which you can save or copy and then sign with e.g. an offline %1 wallet, or a PSBT-compatible hardware wallet.</source>
+ <extracomment>Text to inform a user attempting to create a transaction of their current options. At this stage, a user can only create a PSBT. This string is displayed when private keys are disabled and an external signer is not available.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
+ <location line="-6"/>
+ <source>Do you want to create this transaction?</source>
+ <extracomment>Message displayed when attempting to create a transaction. Cautionary text to prompt the user to verify that the displayed transaction details represent the transaction the user intends to create.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+11"/>
+ <source>Please, review your transaction. You can create and send this transaction or create a Partially Signed Bitcoin Transaction (PSBT), which you can save or copy and then sign with, e.g., an offline %1 wallet, or a PSBT-compatible hardware wallet.</source>
+ <extracomment>Text to inform a user attempting to create a transaction of their current options. At this stage, a user can send their transaction or create a PSBT. This string is displayed when both private keys and PSBT controls are enabled.</extracomment>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>Please, review your transaction.</source>
+ <extracomment>Text to prompt a user to review the details of the transaction they are attempting to send.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
@@ -3318,27 +3831,12 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+7"/>
- <source>To review recipient list click &quot;Show Details...&quot;</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+18"/>
+ <location line="+25"/>
<source>Confirm send coins</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>Confirm transaction proposal</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+1"/>
- <source>Send</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+228"/>
+ <location line="+284"/>
<source>Watch-only balance:</source>
<translation type="unfinished"></translation>
</message>
@@ -3391,7 +3889,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
</translation>
</message>
<message>
- <location line="+100"/>
+ <location line="+101"/>
<source>Warning: Invalid Bitcoin address</source>
<translation type="unfinished"></translation>
</message>
@@ -3527,10 +4025,23 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
</message>
</context>
<context>
+ <name>SendConfirmationDialog</name>
+ <message>
+ <location filename="../sendcoinsdialog.h" line="+131"/>
+ <source>Send</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Create Unsigned</source>
+ <translation type="unfinished"></translation>
+ </message>
+</context>
+<context>
<name>ShutdownWindow</name>
<message>
<location filename="../utilitydialog.cpp" line="+85"/>
- <source>%1 is shutting down...</source>
+ <source>%1 is shutting down…</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -3740,35 +4251,35 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
</message>
</context>
<context>
- <name>TrafficGraphWidget</name>
+ <name>SplashScreen</name>
<message>
- <location filename="../trafficgraphwidget.cpp" line="+82"/>
- <source>KB/s</source>
+ <location filename="../splashscreen.cpp" line="+187"/>
+ <source>(press q to shutdown and continue later)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>press q to shutdown</source>
<translation type="unfinished"></translation>
</message>
</context>
<context>
- <name>TransactionDesc</name>
- <message numerus="yes">
- <location filename="../transactiondesc.cpp" line="+34"/>
- <source>Open for %n more block(s)</source>
- <translation>
- <numerusform>Open for %n more block</numerusform>
- <numerusform>Open for %n more blocks</numerusform>
- </translation>
- </message>
+ <name>TrafficGraphWidget</name>
<message>
- <location line="+2"/>
- <source>Open until %1</source>
+ <location filename="../trafficgraphwidget.cpp" line="+82"/>
+ <source>kB/s</source>
<translation type="unfinished"></translation>
</message>
+</context>
+<context>
+ <name>TransactionDesc</name>
<message>
- <location line="+6"/>
+ <location filename="../transactiondesc.cpp" line="+40"/>
<source>conflicted with a transaction with %1 confirmations</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
+ <location line="+3"/>
<source>0/unconfirmed, %1</source>
<translation type="unfinished"></translation>
</message>
@@ -3783,12 +4294,12 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
+ <location line="-1"/>
<source>abandoned</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
+ <location line="+3"/>
<source>%1/unconfirmed</source>
<translation type="unfinished"></translation>
</message>
@@ -3798,7 +4309,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+50"/>
+ <location line="+51"/>
<source>Status</source>
<translation type="unfinished"></translation>
</message>
@@ -3996,7 +4507,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<context>
<name>TransactionTableModel</name>
<message>
- <location filename="../transactiontablemodel.cpp" line="+251"/>
+ <location filename="../transactiontablemodel.cpp" line="+260"/>
<source>Date</source>
<translation type="unfinished">Date</translation>
</message>
@@ -4010,21 +4521,8 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<source>Label</source>
<translation type="unfinished"></translation>
</message>
- <message numerus="yes">
- <location line="+58"/>
- <source>Open for %n more block(s)</source>
- <translation>
- <numerusform>Open for %n more block</numerusform>
- <numerusform>Open for %n more blocks</numerusform>
- </translation>
- </message>
- <message>
- <location line="+3"/>
- <source>Open until %1</source>
- <translation type="unfinished"></translation>
- </message>
<message>
- <location line="+3"/>
+ <location line="+60"/>
<source>Unconfirmed</source>
<translation type="unfinished"></translation>
</message>
@@ -4094,7 +4592,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+208"/>
+ <location line="+207"/>
<source>(no label)</source>
<translation type="unfinished"></translation>
</message>
@@ -4132,7 +4630,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<context>
<name>TransactionView</name>
<message>
- <location filename="../transactionview.cpp" line="+69"/>
+ <location filename="../transactionview.cpp" line="+73"/>
<location line="+16"/>
<source>All</source>
<translation type="unfinished"></translation>
@@ -4163,12 +4661,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Range...</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+11"/>
+ <location line="+12"/>
<source>Received with</source>
<translation type="unfinished"></translation>
</message>
@@ -4203,63 +4696,75 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+51"/>
- <source>Abandon transaction</source>
+ <location line="-26"/>
+ <source>Range…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Increase transaction fee</source>
+ <location line="+90"/>
+ <source>&amp;Copy address</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Copy address</source>
+ <location line="+1"/>
+ <source>Copy &amp;label</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy label</source>
+ <source>Copy &amp;amount</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy amount</source>
+ <source>Copy transaction &amp;ID</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy transaction ID</source>
+ <source>Copy &amp;raw transaction</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy raw transaction</source>
+ <source>Copy full transaction &amp;details</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copy full transaction details</source>
+ <source>&amp;Show transaction details</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Edit label</source>
+ <location line="+2"/>
+ <source>Increase transaction &amp;fee</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>A&amp;bandon transaction</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Show transaction details</source>
+ <source>&amp;Edit address label</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+59"/>
+ <source>Show in %1</source>
+ <extracomment>Transactions table context menu action to show the selected transaction in a third-party block explorer. %1 is a stand-in argument for the URL of the explorer.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+194"/>
+ <location line="+119"/>
<source>Export Transaction History</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Comma separated file (*.csv)</source>
+ <location line="+3"/>
+ <source>Comma separated file</source>
+ <extracomment>Expanded name of the CSV file format. See: https://en.wikipedia.org/wiki/Comma-separated_values.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
@@ -4331,7 +4836,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<context>
<name>UnitDisplayStatusBarControl</name>
<message>
- <location filename="../bitcoingui.cpp" line="+40"/>
+ <location filename="../bitcoingui.cpp" line="+41"/>
<source>Unit to show amounts in. Click to select another unit.</source>
<translation type="unfinished"></translation>
</message>
@@ -4339,7 +4844,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<context>
<name>WalletController</name>
<message>
- <location filename="../walletcontroller.cpp" line="-238"/>
+ <location filename="../walletcontroller.cpp" line="-259"/>
<source>Close wallet</source>
<translation type="unfinished"></translation>
</message>
@@ -4367,7 +4872,7 @@ Note: Since the fee is calculated on a per-byte basis, a fee of &quot;100 satos
<context>
<name>WalletFrame</name>
<message>
- <location filename="../walletframe.cpp" line="+39"/>
+ <location filename="../walletframe.cpp" line="+42"/>
<source>No wallet has been loaded.
Go to File &gt; Open Wallet to load a wallet.
- OR -</source>
@@ -4378,35 +4883,63 @@ Go to File &gt; Open Wallet to load a wallet.
<source>Create a new wallet</source>
<translation type="unfinished"></translation>
</message>
+ <message>
+ <location line="+154"/>
+ <location line="+9"/>
+ <location line="+10"/>
+ <source>Error</source>
+ <translation type="unfinished">Error</translation>
+ </message>
+ <message>
+ <location line="-19"/>
+ <source>Unable to decode PSBT from clipboard (invalid base64)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+5"/>
+ <source>Load Transaction Data</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>Partially Signed Transaction (*.psbt)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>PSBT file must be smaller than 100 MiB</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+10"/>
+ <source>Unable to decode PSBT</source>
+ <translation type="unfinished"></translation>
+ </message>
</context>
<context>
<name>WalletModel</name>
<message>
- <location filename="../walletmodel.cpp" line="+214"/>
+ <location filename="../walletmodel.cpp" line="+221"/>
<source>Send Coins</source>
<translation type="unfinished">Send Coins</translation>
</message>
<message>
- <location line="+282"/>
- <location line="+45"/>
- <location line="+13"/>
+ <location line="+260"/>
+ <location line="+52"/>
+ <location line="+15"/>
<location line="+5"/>
<source>Fee bump error</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-63"/>
+ <location line="-72"/>
<source>Increasing transaction fee failed</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+8"/>
+ <location line="+7"/>
<source>Do you want to increase the fee?</source>
- <translation type="unfinished"></translation>
- </message>
- <message>
- <location line="+0"/>
- <source>Do you want to draft a transaction with fee increase?</source>
+ <extracomment>Asks a user if they would like to manually increase the fee of a transaction that has already been created.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
@@ -4425,12 +4958,17 @@ Go to File &gt; Open Wallet to load a wallet.
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+4"/>
+ <location line="+8"/>
+ <source>Warning: This may pay the additional fee by reducing change outputs or adding inputs, when necessary. It may add a new change output if one does not already exist. These changes may potentially leak privacy.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>Confirm fee bump</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+21"/>
+ <location line="+22"/>
<source>Can&apos;t draft transaction.</source>
<translation type="unfinished"></translation>
</message>
@@ -4440,7 +4978,7 @@ Go to File &gt; Open Wallet to load a wallet.
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+6"/>
+ <location line="+8"/>
<source>Can&apos;t sign transaction.</source>
<translation type="unfinished"></translation>
</message>
@@ -4450,7 +4988,12 @@ Go to File &gt; Open Wallet to load a wallet.
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+20"/>
+ <location line="+14"/>
+ <source>Can&apos;t display address</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+18"/>
<source>default wallet</source>
<translation type="unfinished"></translation>
</message>
@@ -4458,7 +5001,7 @@ Go to File &gt; Open Wallet to load a wallet.
<context>
<name>WalletView</name>
<message>
- <location filename="../walletview.cpp" line="+51"/>
+ <location filename="../walletview.cpp" line="+52"/>
<source>&amp;Export</source>
<translation type="unfinished">&amp;Export</translation>
</message>
@@ -4468,127 +5011,161 @@ Go to File &gt; Open Wallet to load a wallet.
<translation type="unfinished">Export the data in the current tab to a file</translation>
</message>
<message>
- <location line="+165"/>
- <location line="+9"/>
- <location line="+10"/>
- <source>Error</source>
- <translation type="unfinished">Error</translation>
+ <location line="+164"/>
+ <source>Backup Wallet</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="-19"/>
- <source>Unable to decode PSBT from clipboard (invalid base64)</source>
+ <location line="+2"/>
+ <source>Wallet Data</source>
+ <extracomment>Name of the wallet data file format.</extracomment>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Load Transaction Data</source>
+ <location line="+6"/>
+ <source>Backup Failed</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+1"/>
- <source>Partially Signed Transaction (*.psbt)</source>
+ <location line="+0"/>
+ <source>There was an error trying to save the wallet data to %1.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>PSBT file must be smaller than 100 MiB</source>
+ <location line="+4"/>
+ <source>Backup Successful</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+10"/>
- <source>Unable to decode PSBT</source>
+ <location line="+0"/>
+ <source>The wallet data was successfully saved to %1.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+39"/>
- <source>Backup Wallet</source>
+ <location line="+35"/>
+ <source>Cancel</source>
+ <translation type="unfinished"></translation>
+ </message>
+</context>
+<context>
+ <name>bitcoin-core</name>
+ <message>
+ <location filename="../bitcoinstrings.cpp" line="+12"/>
+ <source>The %s developers</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Wallet Data (*.dat)</source>
+ <source>%s corrupt. Try using the wallet tool bitcoin-wallet to salvage or restoring a backup.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+6"/>
- <source>Backup Failed</source>
+ <location line="+3"/>
+ <source>-maxtxfee is set very high! Fees this large could be paid on a single transaction.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>There was an error trying to save the wallet data to %1.</source>
+ <location line="+3"/>
+ <source>Cannot downgrade wallet from version %i to version %i. Wallet version unchanged.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+4"/>
- <source>Backup Successful</source>
+ <location line="+3"/>
+ <source>Cannot obtain a lock on data directory %s. %s is probably already running.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+0"/>
- <source>The wallet data was successfully saved to %1.</source>
+ <location line="+2"/>
+ <source>Cannot provide specific connections and have addrman find outgoing connections at the same.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+44"/>
- <source>Cancel</source>
+ <location line="+3"/>
+ <source>Cannot upgrade a non HD split wallet from version %i to version %i without upgrading to support pre-split keypool. Please use version %i or no version specified.</source>
<translation type="unfinished"></translation>
</message>
-</context>
-<context>
- <name>bitcoin-core</name>
<message>
- <location filename="../bitcoinstrings.cpp" line="+27"/>
+ <location line="+4"/>
<source>Distributed under the MIT software license, see the accompanying file %s or %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+23"/>
- <source>Prune configured below the minimum of %d MiB. Please use a higher number.</source>
+ <location line="+3"/>
+ <source>Error reading %s! All keys read correctly, but transaction data or address book entries might be missing or incorrect.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Prune: last wallet synchronisation goes beyond pruned data. You need to -reindex (download the whole blockchain again in case of pruned node)</source>
+ <location line="+3"/>
+ <source>Error reading %s! Transaction data may be missing or incorrect. Rescanning wallet.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+112"/>
- <source>Pruning blockstore...</source>
+ <location line="+3"/>
+ <source>Error: Dumpfile format record is incorrect. Got &quot;%s&quot;, expected &quot;format&quot;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+36"/>
- <source>Unable to start HTTP server. See debug log for details.</source>
+ <location line="+2"/>
+ <source>Error: Dumpfile identifier record is incorrect. Got &quot;%s&quot;, expected &quot;%s&quot;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-188"/>
- <source>The %s developers</source>
+ <location line="+2"/>
+ <source>Error: Dumpfile version is not supported. This version of bitcoin-wallet only supports version 1 dumpfiles. Got dumpfile with version %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+7"/>
- <source>Cannot obtain a lock on data directory %s. %s is probably already running.</source>
+ <location line="+3"/>
+ <source>Error: Legacy wallets only support the &quot;legacy&quot;, &quot;p2sh-segwit&quot;, and &quot;bech32&quot; address types</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Error: Listening for incoming connections failed (listen returned error %s)</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+2"/>
- <source>Cannot provide specific connections and have addrman find outgoing connections at the same.</source>
+ <source>Fee estimation failed. Fallbackfee is disabled. Wait a few blocks or enable -fallbackfee.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+9"/>
- <source>Error reading %s! All keys read correctly, but transaction data or address book entries might be missing or incorrect.</source>
+ <location line="+3"/>
+ <source>File %s already exists. If you are sure this is what you want, move it out of the way first.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+11"/>
+ <location line="+3"/>
+ <source>Invalid amount for -maxtxfee=&lt;amount&gt;: &apos;%s&apos; (must be at least the minrelay fee of %s to prevent stuck transactions)</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>Invalid or corrupt peers.dat (%s). If you believe this is a bug, please report it to %s. As a workaround, you can move the file (%s) out of the way (rename, move, or delete) to have a new one created on the next start.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
<source>More than one onion bind address is provided. Using %s for the automatically created Tor onion service.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+3"/>
+ <source>No dump file provided. To use createfromdump, -dumpfile=&lt;filename&gt; must be provided.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
+ <source>No dump file provided. To use dump, -dumpfile=&lt;filename&gt; must be provided.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>No wallet file format provided. To use createfromdump, -format=&lt;format&gt; must be provided.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>Please check that your computer&apos;s date and time are correct! If your clock is wrong, %s will not work properly.</source>
<translation type="unfinished"></translation>
</message>
@@ -4598,13 +5175,13 @@ Go to File &gt; Open Wallet to load a wallet.
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+8"/>
- <source>SQLiteDatabase: Failed to prepare the statement to fetch sqlite wallet schema version: %s</source>
+ <location line="+3"/>
+ <source>Prune configured below the minimum of %d MiB. Please use a higher number.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>SQLiteDatabase: Failed to prepare the statement to fetch the application id: %s</source>
+ <location line="+2"/>
+ <source>Prune: last wallet synchronisation goes beyond pruned data. You need to -reindex (download the whole blockchain again in case of pruned node)</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -4614,443 +5191,493 @@ Go to File &gt; Open Wallet to load a wallet.
</message>
<message>
<location line="+3"/>
+ <source>The -txindex upgrade started by a previous version can not be completed. Restart with the previous version or run a full -reindex.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>The block database contains a block which appears to be from the future. This may be due to your computer&apos;s date and time being set incorrectly. Only rebuild the block database if you are sure that your computer&apos;s date and time are correct</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+11"/>
+ <location line="+5"/>
+ <source>The block index db contains a legacy &apos;txindex&apos;. To clear the occupied disk space, run a full -reindex, otherwise ignore this error. This error message will not be displayed again.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
+ <source>The transaction amount is too small to send after the fee has been deducted</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>This error could occur if this wallet was not shutdown cleanly and was last loaded using a build with a newer version of Berkeley DB. If so, please use the software that last loaded this wallet</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+4"/>
<source>This is a pre-release test build - use at your own risk - do not use for mining or merchant applications</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+6"/>
+ <location line="+3"/>
+ <source>This is the maximum transaction fee you pay (in addition to the normal fee) to prioritize partial spend avoidance over regular coin selection.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>This is the transaction fee you may discard if change is smaller than dust at this level</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+11"/>
+ <location line="+3"/>
+ <source>This is the transaction fee you may pay when fee estimates are not available.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
+ <source>Total length of network version string (%i) exceeds maximum length (%i). Reduce the number or size of uacomments.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+3"/>
<source>Unable to replay blocks. You will need to rebuild the database using -reindex-chainstate.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+3"/>
- <source>Unable to rewind the database to a pre-fork state. You will need to redownload the blockchain</source>
+ <source>Unknown wallet file format &quot;%s&quot; provided. Please provide one of &quot;bdb&quot; or &quot;sqlite&quot;.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Warning: The network does not appear to fully agree! Some miners appear to be experiencing issues.</source>
+ <location line="+3"/>
+ <source>Warning: Dumpfile wallet format &quot;%s&quot; does not match command line specified format &quot;%s&quot;.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+3"/>
+ <source>Warning: Private keys detected in wallet {%s} with disabled private keys</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+2"/>
<source>Warning: We do not appear to fully agree with our peers! You may need to upgrade, or other nodes may need to upgrade.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+7"/>
- <source>-maxmempool must be at least %d MB</source>
+ <location line="+3"/>
+ <source>Witness data for blocks after height %d requires validation. Please restart with -reindex.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+3"/>
- <source>Cannot resolve -%s address: &apos;%s&apos;</source>
+ <source>You need to rebuild the database using -reindex to go back to unpruned mode. This will redownload the entire blockchain</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+3"/>
- <source>Change index out of range</source>
+ <source>%s is set very high!</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Config setting for %s only applied on %s network when in [%s] section.</source>
+ <source>-maxmempool must be at least %d MB</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Copyright (C) %i-%i</source>
+ <source>A fatal internal error occurred, see debug.log for details</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Corrupted block database detected</source>
- <translation>Corrupted block database detected</translation>
+ <source>Cannot resolve -%s address: &apos;%s&apos;</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Could not find asmap file %s</source>
+ <source>Cannot set -forcednsseed to true when setting -dnsseed to false.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Could not parse asmap file %s</source>
+ <source>Cannot set -peerblockfilters without -blockfilterindex.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Do you want to rebuild the block database now?</source>
- <translation>Do you want to rebuild the block database now?</translation>
+ <location line="+1"/>
+ <source>Cannot write to data directory &apos;%s&apos;; check permissions.</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Error initializing block database</source>
- <translation>Error initializing block database</translation>
+ <location line="+1"/>
+ <source>Change index out of range</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error initializing wallet database environment %s!</source>
- <translation>Error initializing wallet database environment %s!</translation>
+ <source>Config setting for %s only applied on %s network when in [%s] section.</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error loading %s</source>
+ <source>Copyright (C) %i-%i</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error loading %s: Private keys can only be disabled during creation</source>
+ <source>Corrupted block database detected</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error loading %s: Wallet corrupted</source>
+ <source>Could not find asmap file %s</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error loading %s: Wallet requires newer version of %s</source>
+ <source>Could not parse asmap file %s</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error loading block database</source>
- <translation>Error loading block database</translation>
+ <source>Disk space is too low!</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error opening block database</source>
- <translation>Error opening block database</translation>
+ <source>Do you want to rebuild the block database now?</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Failed to listen on any port. Use -listen=0 if you want this.</source>
- <translation>Failed to listen on any port. Use -listen=0 if you want this.</translation>
+ <location line="+1"/>
+ <source>Done loading</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Failed to rescan the wallet during initialization</source>
+ <source>Dump file %s does not exist.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Failed to verify database</source>
+ <source>Error creating %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Ignoring duplicate -wallet %s.</source>
+ <location line="+1"/>
+ <source>Error initializing block database</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Importing...</source>
+ <source>Error initializing wallet database environment %s!</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Incorrect or no genesis block found. Wrong datadir for network?</source>
- <translation>Incorrect or no genesis block found. Wrong datadir for network?</translation>
+ <source>Error loading %s</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Initialization sanity check failed. %s is shutting down.</source>
+ <source>Error loading %s: Private keys can only be disabled during creation</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+4"/>
- <source>Invalid P2P permission: &apos;%s&apos;</source>
+ <location line="+1"/>
+ <source>Error loading %s: Wallet corrupted</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Invalid amount for -%s=&lt;amount&gt;: &apos;%s&apos;</source>
+ <source>Error loading %s: Wallet requires newer version of %s</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Invalid amount for -discardfee=&lt;amount&gt;: &apos;%s&apos;</source>
+ <source>Error loading block database</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Invalid amount for -fallbackfee=&lt;amount&gt;: &apos;%s&apos;</source>
+ <source>Error opening block database</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+18"/>
- <source>SQLiteDatabase: Failed to execute statement to verify database: %s</source>
+ <location line="+1"/>
+ <source>Error reading from database, shutting down.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>SQLiteDatabase: Failed to fetch sqlite wallet schema version: %s</source>
+ <source>Error reading next record from wallet database</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>SQLiteDatabase: Failed to fetch the application id: %s</source>
+ <source>Error upgrading chainstate database</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>SQLiteDatabase: Failed to prepare statement to verify database: %s</source>
+ <source>Error: Couldn&apos;t create cursor into database</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>SQLiteDatabase: Failed to read database verification error: %s</source>
+ <source>Error: Disk space is low for %s</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>SQLiteDatabase: Unexpected application id. Expected %u, got %u</source>
+ <source>Error: Dumpfile checksum does not match. Computed %s, expected %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+6"/>
- <source>Specified blocks directory &quot;%s&quot; does not exist.</source>
+ <location line="+1"/>
+ <source>Error: Got key that was not hex: %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+22"/>
- <source>Unknown address type &apos;%s&apos;</source>
+ <location line="+1"/>
+ <source>Error: Got value that was not hex: %s</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Unknown change type &apos;%s&apos;</source>
+ <source>Error: Keypool ran out, please call keypoolrefill first</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+4"/>
- <source>Upgrading txindex database</source>
+ <location line="+1"/>
+ <source>Error: Missing checksum</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-53"/>
- <source>Loading P2P addresses...</source>
+ <location line="+1"/>
+ <source>Error: No %s addresses available.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Loading banlist...</source>
+ <source>Error: Unable to parse version %u as a uint32_t</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Not enough file descriptors available.</source>
- <translation>Not enough file descriptors available.</translation>
+ <location line="+1"/>
+ <source>Error: Unable to write record to new wallet</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Prune cannot be configured with a negative value.</source>
+ <source>Failed to listen on any port. Use -listen=0 if you want this.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Prune mode is incompatible with -txindex.</source>
+ <location line="+1"/>
+ <source>Failed to rescan the wallet during initialization</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Replaying blocks...</source>
+ <location line="+1"/>
+ <source>Failed to verify database</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Rewinding blocks...</source>
+ <location line="+1"/>
+ <source>Fee rate (%s) is lower than the minimum fee rate setting (%s)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+14"/>
- <source>The source code is available from %s.</source>
+ <location line="+1"/>
+ <source>Ignoring duplicate -wallet %s.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+9"/>
- <source>Transaction fee and change calculation failed</source>
+ <location line="+1"/>
+ <source>Importing…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Unable to bind to %s on this computer. %s is probably already running.</source>
+ <location line="+1"/>
+ <source>Incorrect or no genesis block found. Wrong datadir for network?</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Unable to generate keys</source>
+ <location line="+1"/>
+ <source>Initialization sanity check failed. %s is shutting down.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+6"/>
- <source>Unsupported logging category %s=%s.</source>
+ <location line="+1"/>
+ <source>Input not found or already spent</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Upgrading UTXO database</source>
+ <source>Insufficient funds</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>User Agent comment (%s) contains unsafe characters.</source>
+ <location line="+1"/>
+ <source>Invalid -i2psam address or hostname: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Verifying blocks...</source>
- <translation>Verifying blocks...</translation>
+ <source>Invalid -onion address or hostname: &apos;%s&apos;</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Wallet needed to be rewritten: restart %s to complete</source>
+ <location line="+1"/>
+ <source>Invalid -proxy address or hostname: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-178"/>
- <source>Error: Listening for incoming connections failed (listen returned error %s)</source>
+ <location line="+1"/>
+ <source>Invalid P2P permission: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-20"/>
- <source>%s corrupt. Try using the wallet tool bitcoin-wallet to salvage or restoring a backup.</source>
+ <location line="+1"/>
+ <source>Invalid amount for -%s=&lt;amount&gt;: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+11"/>
- <source>Cannot upgrade a non HD split wallet without upgrading to support pre split keypool. Please use version 169900 or no version specified.</source>
+ <location line="+1"/>
+ <source>Invalid amount for -discardfee=&lt;amount&gt;: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+14"/>
- <source>Invalid amount for -maxtxfee=&lt;amount&gt;: &apos;%s&apos; (must be at least the minrelay fee of %s to prevent stuck transactions)</source>
+ <location line="+1"/>
+ <source>Invalid amount for -fallbackfee=&lt;amount&gt;: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+31"/>
- <source>The transaction amount is too small to send after the fee has been deducted</source>
+ <location line="+1"/>
+ <source>Invalid amount for -paytxfee=&lt;amount&gt;: &apos;%s&apos; (must be at least %s)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>This error could occur if this wallet was not shutdown cleanly and was last loaded using a build with a newer version of Berkeley DB. If so, please use the software that last loaded this wallet</source>
+ <location line="+1"/>
+ <source>Invalid netmask specified in -whitelist: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+7"/>
- <source>This is the maximum transaction fee you pay (in addition to the normal fee) to prioritize partial spend avoidance over regular coin selection.</source>
+ <location line="+1"/>
+ <source>Loading P2P addresses…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+11"/>
- <source>Transaction needs a change address, but we can&apos;t generate it. Please call keypoolrefill first.</source>
+ <location line="+1"/>
+ <source>Loading banlist…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+17"/>
- <source>You need to rebuild the database using -reindex to go back to unpruned mode. This will redownload the entire blockchain</source>
+ <location line="+1"/>
+ <source>Loading block index…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>A fatal internal error occurred, see debug.log for details</source>
+ <location line="+1"/>
+ <source>Loading wallet…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Cannot set -peerblockfilters without -blockfilterindex.</source>
+ <location line="+1"/>
+ <source>Missing amount</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+8"/>
- <source>Disk space is too low!</source>
+ <location line="+1"/>
+ <source>Missing solving data for estimating transaction size</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+11"/>
- <source>Error reading from database, shutting down.</source>
+ <location line="+1"/>
+ <source>Need to specify a port with -whitebind: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error upgrading chainstate database</source>
+ <source>No addresses available</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error: Disk space is low for %s</source>
+ <source>No proxy server specified. Use -proxy=&lt;ip&gt; or -proxy=&lt;ip:port&gt;.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Error: Keypool ran out, please call keypoolrefill first</source>
+ <source>Not enough file descriptors available.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+4"/>
- <source>Fee rate (%s) is lower than the minimum fee rate setting (%s)</source>
+ <location line="+1"/>
+ <source>Prune cannot be configured with a negative value.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+6"/>
- <source>Invalid -onion address or hostname: &apos;%s&apos;</source>
+ <location line="+1"/>
+ <source>Prune mode is incompatible with -coinstatsindex.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Invalid -proxy address or hostname: &apos;%s&apos;</source>
+ <source>Prune mode is incompatible with -txindex.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Invalid amount for -paytxfee=&lt;amount&gt;: &apos;%s&apos; (must be at least %s)</source>
+ <location line="+1"/>
+ <source>Pruning blockstore…</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Invalid netmask specified in -whitelist: &apos;%s&apos;</source>
+ <source>Reducing -maxconnections from %d to %d, because of system limitations.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Need to specify a port with -whitebind: &apos;%s&apos;</source>
+ <location line="+1"/>
+ <source>Replaying blocks…</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>No proxy server specified. Use -proxy=&lt;ip&gt; or -proxy=&lt;ip:port&gt;.</source>
+ <source>Rescanning…</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Prune mode is incompatible with -blockfilterindex.</source>
+ <location line="+1"/>
+ <source>SQLiteDatabase: Failed to execute statement to verify database: %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Reducing -maxconnections from %d to %d, because of system limitations.</source>
+ <location line="+1"/>
+ <source>SQLiteDatabase: Failed to prepare statement to verify database: %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+10"/>
+ <location line="+1"/>
+ <source>SQLiteDatabase: Failed to read database verification error: %s</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>SQLiteDatabase: Unexpected application id. Expected %u, got %u</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
<source>Section [%s] is not recognized.</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
<source>Signing transaction failed</source>
- <translation>Signing transaction failed</translation>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
@@ -5068,9 +5695,23 @@ Go to File &gt; Open Wallet to load a wallet.
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+4"/>
- <source>The specified config file %s does not exist
-</source>
+ <location line="+1"/>
+ <source>Specified blocks directory &quot;%s&quot; does not exist.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>Starting network threads…</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>The source code is available from %s.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
+ <source>The specified config file %s does not exist</source>
<translation type="unfinished"></translation>
</message>
<message>
@@ -5079,154 +5720,159 @@ Go to File &gt; Open Wallet to load a wallet.
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
+ <location line="+1"/>
+ <source>The wallet will avoid paying less than the minimum relay fee.</source>
+ <translation type="unfinished"></translation>
+ </message>
+ <message>
+ <location line="+1"/>
<source>This is experimental software.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Transaction amount too small</source>
- <translation>Transaction amount too small</translation>
+ <location line="+1"/>
+ <source>This is the minimum transaction fee you pay on every transaction.</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+5"/>
- <source>Transaction too large</source>
- <translation>Transaction too large</translation>
+ <location line="+1"/>
+ <source>This is the transaction fee you will pay if you send a transaction.</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Unable to bind to %s on this computer (bind returned error %s)</source>
+ <source>Transaction amount too small</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Unable to create the PID file &apos;%s&apos;: %s</source>
+ <location line="+1"/>
+ <source>Transaction amounts must not be negative</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Unable to generate initial keys</source>
+ <source>Transaction has too long of a mempool chain</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+3"/>
- <source>Unknown -blockfilterindex value %s.</source>
+ <location line="+1"/>
+ <source>Transaction must have at least one recipient</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+9"/>
- <source>Verifying wallet(s)...</source>
+ <location line="+1"/>
+ <source>Transaction needs a change address, but we can&apos;t generate it.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Warning: unknown new rules activated (versionbit %i)</source>
+ <location line="+1"/>
+ <source>Transaction too large</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="-196"/>
- <source>-maxtxfee is set very high! Fees this large could be paid on a single transaction.</source>
+ <location line="+1"/>
+ <source>Unable to bind to %s on this computer (bind returned error %s)</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+68"/>
- <source>This is the transaction fee you may pay when fee estimates are not available.</source>
+ <location line="+1"/>
+ <source>Unable to bind to %s on this computer. %s is probably already running.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Total length of network version string (%i) exceeds maximum length (%i). Reduce the number or size of uacomments.</source>
+ <location line="+1"/>
+ <source>Unable to create the PID file &apos;%s&apos;: %s</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+23"/>
- <source>%s is set very high!</source>
+ <location line="+1"/>
+ <source>Unable to generate initial keys</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+72"/>
- <source>Starting network threads...</source>
+ <location line="+1"/>
+ <source>Unable to generate keys</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+4"/>
- <source>The wallet will avoid paying less than the minimum relay fee.</source>
+ <location line="+1"/>
+ <source>Unable to open %s for writing</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>This is the minimum transaction fee you pay on every transaction.</source>
+ <location line="+1"/>
+ <source>Unable to parse -maxuploadtarget: &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>This is the transaction fee you will pay if you send a transaction.</source>
+ <source>Unable to start HTTP server. See debug log for details.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Transaction amounts must not be negative</source>
+ <location line="+1"/>
+ <source>Unknown -blockfilterindex value %s.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+2"/>
- <source>Transaction has too long of a mempool chain</source>
+ <location line="+1"/>
+ <source>Unknown address type &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Transaction must have at least one recipient</source>
+ <source>Unknown change type &apos;%s&apos;</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+11"/>
+ <location line="+1"/>
<source>Unknown network specified in -onlynet: &apos;%s&apos;</source>
- <translation>Unknown network specified in -onlynet: &apos;%s&apos;</translation>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="-59"/>
- <source>Insufficient funds</source>
- <translation>Insufficient funds</translation>
+ <location line="+1"/>
+ <source>Unknown new rules activated (versionbit %i)</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="-110"/>
- <source>Fee estimation failed. Fallbackfee is disabled. Wait a few blocks or enable -fallbackfee.</source>
+ <location line="+1"/>
+ <source>Unsupported logging category %s=%s.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+63"/>
- <source>Warning: Private keys detected in wallet {%s} with disabled private keys</source>
+ <location line="+1"/>
+ <source>Upgrading UTXO database</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+17"/>
- <source>Cannot write to data directory &apos;%s&apos;; check permissions.</source>
+ <location line="+1"/>
+ <source>User Agent comment (%s) contains unsafe characters.</source>
<translation type="unfinished"></translation>
</message>
<message>
- <location line="+41"/>
- <source>Loading block index...</source>
- <translation>Loading block index...</translation>
+ <location line="+1"/>
+ <source>Verifying blocks…</source>
+ <translation type="unfinished"></translation>
</message>
<message>
<location line="+1"/>
- <source>Loading wallet...</source>
- <translation>Loading wallet...</translation>
+ <source>Verifying wallet(s)…</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="-45"/>
- <source>Cannot downgrade wallet</source>
- <translation>Cannot downgrade wallet</translation>
+ <location line="+1"/>
+ <source>Wallet needed to be rewritten: restart %s to complete</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="+55"/>
- <source>Rescanning...</source>
- <translation>Rescanning...</translation>
+ <location filename="../bitcoin.cpp" line="-482"/>
+ <source>Settings file could not be read</source>
+ <translation type="unfinished"></translation>
</message>
<message>
- <location line="-43"/>
- <source>Done loading</source>
- <translation>Done loading</translation>
+ <location line="+23"/>
+ <source>Settings file could not be written</source>
+ <translation type="unfinished"></translation>
</message>
</context>
</TS>
diff --git a/src/qt/locale/bitcoin_en.xlf b/src/qt/locale/bitcoin_en.xlf
new file mode 100644
index 0000000000..0acc69b3bc
--- /dev/null
+++ b/src/qt/locale/bitcoin_en.xlf
@@ -0,0 +1,6025 @@
+<?xml version="1.0" encoding="utf-8"?>
+<xliff version="1.2" xmlns="urn:oasis:names:tc:xliff:document:1.2" xmlns:trolltech="urn:trolltech:names:ts:document:1.0">
+ <file original="../forms/addressbookpage.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="AddressBookPage">
+ <trans-unit id="_msg1">
+ <source xml:space="preserve">Right-click to edit address or label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">37</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg2" approved="yes">
+ <source xml:space="preserve">Create a new address</source>
+ <target xml:space="preserve">Create a new address</target>
+ <context-group purpose="location"><context context-type="linenumber">64</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg3">
+ <source xml:space="preserve">&amp;New</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">67</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg4" approved="yes">
+ <source xml:space="preserve">Copy the currently selected address to the system clipboard</source>
+ <target xml:space="preserve">Copy the currently selected address to the system clipboard</target>
+ <context-group purpose="location"><context context-type="linenumber">81</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg5">
+ <source xml:space="preserve">&amp;Copy</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">84</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg6">
+ <source xml:space="preserve">C&amp;lose</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">151</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg7" approved="yes">
+ <source xml:space="preserve">Delete the currently selected address from the list</source>
+ <target xml:space="preserve">Delete the currently selected address from the list</target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg8">
+ <source xml:space="preserve">Enter address or label to search</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">27</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg9" approved="yes">
+ <source xml:space="preserve">Export the data in the current tab to a file</source>
+ <target xml:space="preserve">Export the data in the current tab to a file</target>
+ <context-group purpose="location"><context context-type="linenumber">128</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg10" approved="yes">
+ <source xml:space="preserve">&amp;Export</source>
+ <target xml:space="preserve">&amp;Export</target>
+ <context-group purpose="location"><context context-type="linenumber">131</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg11" approved="yes">
+ <source xml:space="preserve">&amp;Delete</source>
+ <target xml:space="preserve">&amp;Delete</target>
+ <context-group purpose="location"><context context-type="linenumber">101</context></context-group>
+ <context-group purpose="location"><context context-type="sourcefile">../addressbookpage.cpp</context><context context-type="linenumber">122</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../addressbookpage.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="AddressBookPage">
+ <trans-unit id="_msg12">
+ <source xml:space="preserve">Choose the address to send coins to</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">84</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg13">
+ <source xml:space="preserve">Choose the address to receive coins with</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">85</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg14">
+ <source xml:space="preserve">C&amp;hoose</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg15">
+ <source xml:space="preserve">Sending addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">96</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg16">
+ <source xml:space="preserve">Receiving addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">97</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg17">
+ <source xml:space="preserve">These are your Bitcoin addresses for sending payments. Always check the amount and the receiving address before sending coins.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">104</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg18">
+ <source xml:space="preserve">These are your Bitcoin addresses for receiving payments. Use the &apos;Create new receiving address&apos; button in the receive tab to create new addresses.
+Signing is only possible with addresses of the type &apos;legacy&apos;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">109</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg19">
+ <source xml:space="preserve">&amp;Copy Address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">117</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg20">
+ <source xml:space="preserve">Copy &amp;Label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">118</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg21">
+ <source xml:space="preserve">&amp;Edit</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">119</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg22">
+ <source xml:space="preserve">Export Address List</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">283</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg23">
+ <source xml:space="preserve">Comma separated file</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">286</context></context-group>
+ <note annotates="source" from="developer">Expanded name of the CSV file format. See: https://en.wikipedia.org/wiki/Comma-separated_values.</note>
+ </trans-unit>
+ <trans-unit id="_msg24">
+ <source xml:space="preserve">There was an error trying to save the address list to %1. Please try again.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">302</context></context-group>
+ <note annotates="source" from="developer">An error message. %1 is a stand-in argument for the name of the file we attempted to save to.</note>
+ </trans-unit>
+ <trans-unit id="_msg25">
+ <source xml:space="preserve">Exporting Failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">299</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../addresstablemodel.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="AddressTableModel">
+ <trans-unit id="_msg26">
+ <source xml:space="preserve">Label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">168</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg27">
+ <source xml:space="preserve">Address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">168</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg28">
+ <source xml:space="preserve">(no label)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">206</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/askpassphrasedialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="AskPassphraseDialog">
+ <trans-unit id="_msg29" approved="yes">
+ <source xml:space="preserve">Passphrase Dialog</source>
+ <target xml:space="preserve">Passphrase Dialog</target>
+ <context-group purpose="location"><context context-type="linenumber">26</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg30" approved="yes">
+ <source xml:space="preserve">Enter passphrase</source>
+ <target xml:space="preserve">Enter passphrase</target>
+ <context-group purpose="location"><context context-type="linenumber">56</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg31" approved="yes">
+ <source xml:space="preserve">New passphrase</source>
+ <target xml:space="preserve">New passphrase</target>
+ <context-group purpose="location"><context context-type="linenumber">70</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg32" approved="yes">
+ <source xml:space="preserve">Repeat new passphrase</source>
+ <target xml:space="preserve">Repeat new passphrase</target>
+ <context-group purpose="location"><context context-type="linenumber">84</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg33">
+ <source xml:space="preserve">Show passphrase</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../askpassphrasedialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="AskPassphraseDialog">
+ <trans-unit id="_msg34">
+ <source xml:space="preserve">Encrypt wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">51</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg35">
+ <source xml:space="preserve">This operation needs your wallet passphrase to unlock the wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">54</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg36">
+ <source xml:space="preserve">Unlock wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">59</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg37">
+ <source xml:space="preserve">Change passphrase</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">62</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg38">
+ <source xml:space="preserve">Confirm wallet encryption</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">110</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg39">
+ <source xml:space="preserve">Warning: If you encrypt your wallet and lose your passphrase, you will &lt;b&gt;LOSE ALL OF YOUR BITCOINS&lt;/b&gt;!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">111</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg40">
+ <source xml:space="preserve">Are you sure you wish to encrypt your wallet?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">111</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg41">
+ <source xml:space="preserve">Wallet encrypted</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">129</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">173</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg42">
+ <source xml:space="preserve">Enter the new passphrase for the wallet.&lt;br/&gt;Please use a passphrase of &lt;b&gt;ten or more random characters&lt;/b&gt;, or &lt;b&gt;eight or more words&lt;/b&gt;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">48</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg43">
+ <source xml:space="preserve">Enter the old passphrase and new passphrase for the wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">63</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg44">
+ <source xml:space="preserve">Remember that encrypting your wallet cannot fully protect your bitcoins from being stolen by malware infecting your computer.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">118</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg45">
+ <source xml:space="preserve">Wallet to be encrypted</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">122</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg46">
+ <source xml:space="preserve">Your wallet is about to be encrypted. </source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">124</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg47">
+ <source xml:space="preserve">Your wallet is now encrypted. </source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">131</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg48">
+ <source xml:space="preserve">IMPORTANT: Any previous backups you have made of your wallet file should be replaced with the newly generated, encrypted wallet file. For security reasons, previous backups of the unencrypted wallet file will become useless as soon as you start using the new, encrypted wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">133</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg49">
+ <source xml:space="preserve">Wallet encryption failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">139</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">147</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">179</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">185</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg50">
+ <source xml:space="preserve">Wallet encryption failed due to an internal error. Your wallet was not encrypted.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">140</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg51">
+ <source xml:space="preserve">The supplied passphrases do not match.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">148</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">186</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg52">
+ <source xml:space="preserve">Wallet unlock failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">159</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">165</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg53">
+ <source xml:space="preserve">The passphrase entered for the wallet decryption was incorrect.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">160</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg54">
+ <source xml:space="preserve">Wallet passphrase was successfully changed.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">174</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg55">
+ <source xml:space="preserve">Warning: The Caps Lock key is on!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">220</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">253</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../bantablemodel.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="BanTableModel">
+ <trans-unit id="_msg56">
+ <source xml:space="preserve">IP/Netmask</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">85</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg57">
+ <source xml:space="preserve">Banned Until</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">85</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../bitcoin.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="BitcoinApplication">
+ <trans-unit id="_msg58">
+ <source xml:space="preserve">Runaway exception</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">429</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg59">
+ <source xml:space="preserve">A fatal error occurred. %1 can no longer continue safely and will quit.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">430</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg60">
+ <source xml:space="preserve">Internal error</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">439</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg61">
+ <source xml:space="preserve">An internal error occurred. %1 will attempt to continue safely. This is an unexpected bug which can be reported as described below.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">440</context></context-group>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="QObject">
+ <trans-unit id="_msg62">
+ <source xml:space="preserve">Do you want to reset settings to default values, or to abort without making changes?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">168</context></context-group>
+ <note annotates="source" from="developer">Explanatory text shown on startup when the settings file cannot be read. Prompts user to make a choice between resetting or aborting.</note>
+ </trans-unit>
+ <trans-unit id="_msg63">
+ <source xml:space="preserve">A fatal error occurred. Check that settings file is writable, or try running with -nosettings.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">192</context></context-group>
+ <note annotates="source" from="developer">Explanatory text shown on startup when the settings file could not be written. Prompts user to check that we have the ability to write to the file. Explains that the user has the option of running without a settings file.</note>
+ </trans-unit>
+ <trans-unit id="_msg64">
+ <source xml:space="preserve">Error: Specified data directory &quot;%1&quot; does not exist.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">551</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg65">
+ <source xml:space="preserve">Error: Cannot parse configuration file: %1.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">557</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg66">
+ <source xml:space="preserve">Error: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">572</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg67">
+ <source xml:space="preserve">%1 didn&apos;t yet exit safely…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">643</context></context-group>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="bitcoin-core">
+ <trans-unit id="_msg68">
+ <source xml:space="preserve">Settings file could not be read</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">161</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg69">
+ <source xml:space="preserve">Settings file could not be written</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">184</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../bitcoingui.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="BitcoinGUI">
+ <trans-unit id="_msg70" approved="yes">
+ <source xml:space="preserve">&amp;Overview</source>
+ <target xml:space="preserve">&amp;Overview</target>
+ <context-group purpose="location"><context context-type="linenumber">250</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg71" approved="yes">
+ <source xml:space="preserve">Show general overview of wallet</source>
+ <target xml:space="preserve">Show general overview of wallet</target>
+ <context-group purpose="location"><context context-type="linenumber">251</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg72" approved="yes">
+ <source xml:space="preserve">&amp;Transactions</source>
+ <target xml:space="preserve">&amp;Transactions</target>
+ <context-group purpose="location"><context context-type="linenumber">279</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg73" approved="yes">
+ <source xml:space="preserve">Browse transaction history</source>
+ <target xml:space="preserve">Browse transaction history</target>
+ <context-group purpose="location"><context context-type="linenumber">280</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg74" approved="yes">
+ <source xml:space="preserve">E&amp;xit</source>
+ <target xml:space="preserve">E&amp;xit</target>
+ <context-group purpose="location"><context context-type="linenumber">303</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg75" approved="yes">
+ <source xml:space="preserve">Quit application</source>
+ <target xml:space="preserve">Quit application</target>
+ <context-group purpose="location"><context context-type="linenumber">304</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg76">
+ <source xml:space="preserve">&amp;About %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">307</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg77">
+ <source xml:space="preserve">Show information about %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">308</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg78" approved="yes">
+ <source xml:space="preserve">About &amp;Qt</source>
+ <target xml:space="preserve">About &amp;Qt</target>
+ <context-group purpose="location"><context context-type="linenumber">311</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg79" approved="yes">
+ <source xml:space="preserve">Show information about Qt</source>
+ <target xml:space="preserve">Show information about Qt</target>
+ <context-group purpose="location"><context context-type="linenumber">312</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg80">
+ <source xml:space="preserve">Modify configuration options for %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">315</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg81">
+ <source xml:space="preserve">Create a new wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">361</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg82">
+ <source xml:space="preserve">&amp;Minimize</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">489</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg83">
+ <source xml:space="preserve">Wallet:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">568</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg84">
+ <source xml:space="preserve">Network activity disabled.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">939</context></context-group>
+ <note annotates="source" from="developer">A substring of the tooltip.</note>
+ </trans-unit>
+ <trans-unit id="_msg85">
+ <source xml:space="preserve">Proxy is &lt;b&gt;enabled&lt;/b&gt;: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1361</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg86" approved="yes">
+ <source xml:space="preserve">Send coins to a Bitcoin address</source>
+ <target xml:space="preserve">Send coins to a Bitcoin address</target>
+ <context-group purpose="location"><context context-type="linenumber">258</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg87" approved="yes">
+ <source xml:space="preserve">Backup wallet to another location</source>
+ <target xml:space="preserve">Backup wallet to another location</target>
+ <context-group purpose="location"><context context-type="linenumber">325</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg88" approved="yes">
+ <source xml:space="preserve">Change the passphrase used for wallet encryption</source>
+ <target xml:space="preserve">Change the passphrase used for wallet encryption</target>
+ <context-group purpose="location"><context context-type="linenumber">327</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg89" approved="yes">
+ <source xml:space="preserve">&amp;Send</source>
+ <target xml:space="preserve">&amp;Send</target>
+ <context-group purpose="location"><context context-type="linenumber">257</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg90" approved="yes">
+ <source xml:space="preserve">&amp;Receive</source>
+ <target xml:space="preserve">&amp;Receive</target>
+ <context-group purpose="location"><context context-type="linenumber">268</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg91">
+ <source xml:space="preserve">&amp;Options…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">314</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg92" approved="yes">
+ <source xml:space="preserve">&amp;Show / Hide</source>
+ <target xml:space="preserve">&amp;Show / Hide</target>
+ <context-group purpose="location"><context context-type="linenumber">318</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg93" approved="yes">
+ <source xml:space="preserve">Show or hide the main Window</source>
+ <target xml:space="preserve">Show or hide the main Window</target>
+ <context-group purpose="location"><context context-type="linenumber">319</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg94">
+ <source xml:space="preserve">&amp;Encrypt Wallet…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">321</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg95" approved="yes">
+ <source xml:space="preserve">Encrypt the private keys that belong to your wallet</source>
+ <target xml:space="preserve">Encrypt the private keys that belong to your wallet</target>
+ <context-group purpose="location"><context context-type="linenumber">322</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg96">
+ <source xml:space="preserve">&amp;Backup Wallet…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">324</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg97">
+ <source xml:space="preserve">&amp;Change Passphrase…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">326</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg98">
+ <source xml:space="preserve">Sign &amp;message…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">328</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg99" approved="yes">
+ <source xml:space="preserve">Sign messages with your Bitcoin addresses to prove you own them</source>
+ <target xml:space="preserve">Sign messages with your Bitcoin addresses to prove you own them</target>
+ <context-group purpose="location"><context context-type="linenumber">329</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg100">
+ <source xml:space="preserve">&amp;Verify message…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">330</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg101" approved="yes">
+ <source xml:space="preserve">Verify messages to ensure they were signed with specified Bitcoin addresses</source>
+ <target xml:space="preserve">Verify messages to ensure they were signed with specified Bitcoin addresses</target>
+ <context-group purpose="location"><context context-type="linenumber">331</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg102">
+ <source xml:space="preserve">&amp;Load PSBT from file…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">332</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg103">
+ <source xml:space="preserve">Open &amp;URI…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">348</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg104">
+ <source xml:space="preserve">Close Wallet…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">356</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg105">
+ <source xml:space="preserve">Create Wallet…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">359</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg106">
+ <source xml:space="preserve">Close All Wallets…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">363</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg107" approved="yes">
+ <source xml:space="preserve">&amp;File</source>
+ <target xml:space="preserve">&amp;File</target>
+ <context-group purpose="location"><context context-type="linenumber">458</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg108" approved="yes">
+ <source xml:space="preserve">&amp;Settings</source>
+ <target xml:space="preserve">&amp;Settings</target>
+ <context-group purpose="location"><context context-type="linenumber">476</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg109" approved="yes">
+ <source xml:space="preserve">&amp;Help</source>
+ <target xml:space="preserve">&amp;Help</target>
+ <context-group purpose="location"><context context-type="linenumber">537</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg110" approved="yes">
+ <source xml:space="preserve">Tabs toolbar</source>
+ <target xml:space="preserve">Tabs toolbar</target>
+ <context-group purpose="location"><context context-type="linenumber">548</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg111">
+ <source xml:space="preserve">Syncing Headers (%1%)…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">983</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg112">
+ <source xml:space="preserve">Synchronizing with network…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1030</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg113">
+ <source xml:space="preserve">Indexing blocks on disk…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1035</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg114">
+ <source xml:space="preserve">Processing blocks on disk…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1037</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg115">
+ <source xml:space="preserve">Reindexing blocks on disk…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1041</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg116">
+ <source xml:space="preserve">Connecting to peers…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1047</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg117">
+ <source xml:space="preserve">Request payments (generates QR codes and bitcoin: URIs)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">269</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg118">
+ <source xml:space="preserve">Show the list of used sending addresses and labels</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">344</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg119">
+ <source xml:space="preserve">Show the list of used receiving addresses and labels</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">346</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg120">
+ <source xml:space="preserve">&amp;Command-line options</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">366</context></context-group>
+ </trans-unit>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">1056</context></context-group>
+ <trans-unit id="_msg121[0]" approved="yes">
+ <source xml:space="preserve">Processed %n block(s) of transaction history.</source>
+ <target xml:space="preserve">Processed %n block of transaction history.</target>
+ </trans-unit>
+ <trans-unit id="_msg121[1]" approved="yes">
+ <source xml:space="preserve">Processed %n block(s) of transaction history.</source>
+ <target xml:space="preserve">Processed %n blocks of transaction history.</target>
+ </trans-unit>
+ </group>
+ <trans-unit id="_msg122" approved="yes">
+ <source xml:space="preserve">%1 behind</source>
+ <target xml:space="preserve">%1 behind</target>
+ <context-group purpose="location"><context context-type="linenumber">1079</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg123">
+ <source xml:space="preserve">Catching up…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1084</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg124" approved="yes">
+ <source xml:space="preserve">Last received block was generated %1 ago.</source>
+ <target xml:space="preserve">Last received block was generated %1 ago.</target>
+ <context-group purpose="location"><context context-type="linenumber">1103</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg125" approved="yes">
+ <source xml:space="preserve">Transactions after this will not yet be visible.</source>
+ <target xml:space="preserve">Transactions after this will not yet be visible.</target>
+ <context-group purpose="location"><context context-type="linenumber">1105</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg126" approved="yes">
+ <source xml:space="preserve">Error</source>
+ <target xml:space="preserve">Error</target>
+ <context-group purpose="location"><context context-type="linenumber">1130</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg127" approved="yes">
+ <source xml:space="preserve">Warning</source>
+ <target xml:space="preserve">Warning</target>
+ <context-group purpose="location"><context context-type="linenumber">1134</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg128" approved="yes">
+ <source xml:space="preserve">Information</source>
+ <target xml:space="preserve">Information</target>
+ <context-group purpose="location"><context context-type="linenumber">1138</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg129" approved="yes">
+ <source xml:space="preserve">Up to date</source>
+ <target xml:space="preserve">Up to date</target>
+ <context-group purpose="location"><context context-type="linenumber">1060</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg130">
+ <source xml:space="preserve">Load Partially Signed Bitcoin Transaction</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">333</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg131">
+ <source xml:space="preserve">Load PSBT from &amp;clipboard…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">334</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg132">
+ <source xml:space="preserve">Load Partially Signed Bitcoin Transaction from clipboard</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">335</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg133">
+ <source xml:space="preserve">Node window</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">337</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg134">
+ <source xml:space="preserve">Open node debugging and diagnostic console</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">338</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg135">
+ <source xml:space="preserve">&amp;Sending addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">343</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg136">
+ <source xml:space="preserve">&amp;Receiving addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">345</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg137">
+ <source xml:space="preserve">Open a bitcoin: URI</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">349</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg138">
+ <source xml:space="preserve">Open Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">351</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg139">
+ <source xml:space="preserve">Open a wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">353</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg140">
+ <source xml:space="preserve">Close wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">357</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg141">
+ <source xml:space="preserve">Close all wallets</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">364</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg142">
+ <source xml:space="preserve">Show the %1 help message to get a list with possible Bitcoin command-line options</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">368</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg143">
+ <source xml:space="preserve">&amp;Mask values</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">370</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg144">
+ <source xml:space="preserve">Mask the values in the Overview tab</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">372</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg145">
+ <source xml:space="preserve">default wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">404</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg146">
+ <source xml:space="preserve">No wallets available</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">424</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg147">
+ <source xml:space="preserve">&amp;Window</source>
+ <target xml:space="preserve" state="needs-review-translation">&amp;Window</target>
+ <context-group purpose="location"><context context-type="linenumber">487</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg148">
+ <source xml:space="preserve">Zoom</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">499</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg149">
+ <source xml:space="preserve">Main Window</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">517</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg150">
+ <source xml:space="preserve">%1 client</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">778</context></context-group>
+ </trans-unit>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">936</context></context-group>
+ <note annotates="source" from="developer">A substring of the tooltip.</note>
+ <trans-unit id="_msg151[0]">
+ <source xml:space="preserve">%n active connection(s) to Bitcoin network.</source>
+ <target xml:space="preserve" state="needs-review-translation">%n active connection to Bitcoin network.</target>
+ </trans-unit>
+ <trans-unit id="_msg151[1]">
+ <source xml:space="preserve">%n active connection(s) to Bitcoin network.</source>
+ <target xml:space="preserve" state="needs-review-translation">%n active connections to Bitcoin network.</target>
+ </trans-unit>
+ </group>
+ <trans-unit id="_msg152">
+ <source xml:space="preserve">Click for more actions.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">946</context></context-group>
+ <note annotates="source" from="developer">A substring of the tooltip. &quot;More actions&quot; are available via the context menu.</note>
+ </trans-unit>
+ <trans-unit id="_msg153">
+ <source xml:space="preserve">Show Peers tab</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">963</context></context-group>
+ <note annotates="source" from="developer">A context menu item. The &quot;Peers tab&quot; is an element of the &quot;Node window&quot;.</note>
+ </trans-unit>
+ <trans-unit id="_msg154">
+ <source xml:space="preserve">Disable network activity</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">971</context></context-group>
+ <note annotates="source" from="developer">A context menu item.</note>
+ </trans-unit>
+ <trans-unit id="_msg155">
+ <source xml:space="preserve">Enable network activity</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">973</context></context-group>
+ <note annotates="source" from="developer">A context menu item. The network activity was disabled previously.</note>
+ </trans-unit>
+ <trans-unit id="_msg156">
+ <source xml:space="preserve">Error: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1131</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg157">
+ <source xml:space="preserve">Warning: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1135</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg158">
+ <source xml:space="preserve">Date: %1
+</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1243</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg159">
+ <source xml:space="preserve">Amount: %1
+</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1244</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg160">
+ <source xml:space="preserve">Wallet: %1
+</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1246</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg161">
+ <source xml:space="preserve">Type: %1
+</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1248</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg162">
+ <source xml:space="preserve">Label: %1
+</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1250</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg163">
+ <source xml:space="preserve">Address: %1
+</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1252</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg164" approved="yes">
+ <source xml:space="preserve">Sent transaction</source>
+ <target xml:space="preserve">Sent transaction</target>
+ <context-group purpose="location"><context context-type="linenumber">1253</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg165" approved="yes">
+ <source xml:space="preserve">Incoming transaction</source>
+ <target xml:space="preserve">Incoming transaction</target>
+ <context-group purpose="location"><context context-type="linenumber">1253</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg166">
+ <source xml:space="preserve">HD key generation is &lt;b&gt;enabled&lt;/b&gt;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1305</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg167">
+ <source xml:space="preserve">HD key generation is &lt;b&gt;disabled&lt;/b&gt;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1305</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg168">
+ <source xml:space="preserve">Private key &lt;b&gt;disabled&lt;/b&gt;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1305</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg169" approved="yes">
+ <source xml:space="preserve">Wallet is &lt;b&gt;encrypted&lt;/b&gt; and currently &lt;b&gt;unlocked&lt;/b&gt;</source>
+ <target xml:space="preserve">Wallet is &lt;b&gt;encrypted&lt;/b&gt; and currently &lt;b&gt;unlocked&lt;/b&gt;</target>
+ <context-group purpose="location"><context context-type="linenumber">1322</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg170" approved="yes">
+ <source xml:space="preserve">Wallet is &lt;b&gt;encrypted&lt;/b&gt; and currently &lt;b&gt;locked&lt;/b&gt;</source>
+ <target xml:space="preserve">Wallet is &lt;b&gt;encrypted&lt;/b&gt; and currently &lt;b&gt;locked&lt;/b&gt;</target>
+ <context-group purpose="location"><context context-type="linenumber">1330</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg171">
+ <source xml:space="preserve">Original message:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1449</context></context-group>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="UnitDisplayStatusBarControl">
+ <trans-unit id="_msg172">
+ <source xml:space="preserve">Unit to show amounts in. Click to select another unit.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1490</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/coincontroldialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="CoinControlDialog">
+ <trans-unit id="_msg173">
+ <source xml:space="preserve">Coin Selection</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg174">
+ <source xml:space="preserve">Quantity:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">48</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg175">
+ <source xml:space="preserve">Bytes:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">77</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg176">
+ <source xml:space="preserve">Amount:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">122</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg177">
+ <source xml:space="preserve">Fee:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">202</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg178">
+ <source xml:space="preserve">Dust:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">154</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg179">
+ <source xml:space="preserve">After Fee:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">247</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg180">
+ <source xml:space="preserve">Change:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">279</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg181">
+ <source xml:space="preserve">(un)select all</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">335</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg182">
+ <source xml:space="preserve">Tree mode</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">351</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg183">
+ <source xml:space="preserve">List mode</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">364</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg184">
+ <source xml:space="preserve">Amount</source>
+ <target xml:space="preserve" state="needs-review-translation">Amount</target>
+ <context-group purpose="location"><context context-type="linenumber">420</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg185">
+ <source xml:space="preserve">Received with label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">425</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg186">
+ <source xml:space="preserve">Received with address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">430</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg187">
+ <source xml:space="preserve">Date</source>
+ <target xml:space="preserve" state="needs-review-translation">Date</target>
+ <context-group purpose="location"><context context-type="linenumber">435</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg188">
+ <source xml:space="preserve">Confirmations</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">440</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg189">
+ <source xml:space="preserve">Confirmed</source>
+ <target xml:space="preserve" state="needs-review-translation">Confirmed</target>
+ <context-group purpose="location"><context context-type="linenumber">443</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../coincontroldialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="CoinControlDialog">
+ <trans-unit id="_msg190">
+ <source xml:space="preserve">Copy amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">69</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg191">
+ <source xml:space="preserve">&amp;Copy address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">58</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg192">
+ <source xml:space="preserve">Copy &amp;label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">59</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg193">
+ <source xml:space="preserve">Copy &amp;amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">60</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg194">
+ <source xml:space="preserve">Copy transaction &amp;ID and output index</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">61</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg195">
+ <source xml:space="preserve">L&amp;ock unspent</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">63</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg196">
+ <source xml:space="preserve">&amp;Unlock unspent</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">64</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg197">
+ <source xml:space="preserve">Copy quantity</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">68</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg198">
+ <source xml:space="preserve">Copy fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">70</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg199">
+ <source xml:space="preserve">Copy after fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">71</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg200">
+ <source xml:space="preserve">Copy bytes</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">72</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg201">
+ <source xml:space="preserve">Copy dust</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">73</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg202">
+ <source xml:space="preserve">Copy change</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">74</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg203">
+ <source xml:space="preserve">(%1 locked)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">380</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg204">
+ <source xml:space="preserve">yes</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">535</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg205">
+ <source xml:space="preserve">no</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">535</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg206">
+ <source xml:space="preserve">This label turns red if any recipient receives an amount smaller than the current dust threshold.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">549</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg207">
+ <source xml:space="preserve">Can vary +/- %1 satoshi(s) per input.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">554</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg208">
+ <source xml:space="preserve">(no label)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">601</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">655</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg209">
+ <source xml:space="preserve">change from %1 (%2)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">648</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg210">
+ <source xml:space="preserve">(change)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">649</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../walletcontroller.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="CreateWalletActivity">
+ <trans-unit id="_msg211">
+ <source xml:space="preserve">Create Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">243</context></context-group>
+ <note annotates="source" from="developer">Title of window indicating the progress of creation of a new wallet.</note>
+ </trans-unit>
+ <trans-unit id="_msg212">
+ <source xml:space="preserve">Creating Wallet &lt;b&gt;%1&lt;/b&gt;…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">246</context></context-group>
+ <note annotates="source" from="developer">Descriptive text of the create wallet progress window which indicates to the user which wallet is currently being created.</note>
+ </trans-unit>
+ <trans-unit id="_msg213">
+ <source xml:space="preserve">Create wallet failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">275</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg214">
+ <source xml:space="preserve">Create wallet warning</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">277</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg215">
+ <source xml:space="preserve">Can&apos;t list signers</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">293</context></context-group>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="LoadWalletsActivity">
+ <trans-unit id="_msg216">
+ <source xml:space="preserve">Load Wallets</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">362</context></context-group>
+ <note annotates="source" from="developer">Title of progress window which is displayed when wallets are being loaded.</note>
+ </trans-unit>
+ <trans-unit id="_msg217">
+ <source xml:space="preserve">Loading wallets…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">365</context></context-group>
+ <note annotates="source" from="developer">Descriptive text of the load wallets progress window which indicates to the user that wallets are currently being loaded.</note>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="OpenWalletActivity">
+ <trans-unit id="_msg218">
+ <source xml:space="preserve">Open wallet failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">323</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg219">
+ <source xml:space="preserve">Open wallet warning</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">325</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg220">
+ <source xml:space="preserve">default wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">335</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg221">
+ <source xml:space="preserve">Open Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">339</context></context-group>
+ <note annotates="source" from="developer">Title of window indicating the progress of opening of a wallet.</note>
+ </trans-unit>
+ <trans-unit id="_msg222">
+ <source xml:space="preserve">Opening Wallet &lt;b&gt;%1&lt;/b&gt;…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">342</context></context-group>
+ <note annotates="source" from="developer">Descriptive text of the open wallet progress window which indicates to the user which wallet is currently being opened.</note>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="WalletController">
+ <trans-unit id="_msg223">
+ <source xml:space="preserve">Close wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">83</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg224">
+ <source xml:space="preserve">Are you sure you wish to close the wallet &lt;i&gt;%1&lt;/i&gt;?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">84</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg225">
+ <source xml:space="preserve">Closing the wallet for too long can result in having to resync the entire chain if pruning is enabled.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">85</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg226">
+ <source xml:space="preserve">Close all wallets</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg227">
+ <source xml:space="preserve">Are you sure you wish to close all wallets?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">99</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/createwalletdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="CreateWalletDialog">
+ <trans-unit id="_msg228">
+ <source xml:space="preserve">Create Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg229">
+ <source xml:space="preserve">Wallet Name</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">25</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg230">
+ <source xml:space="preserve">Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">38</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg231">
+ <source xml:space="preserve">Encrypt the wallet. The wallet will be encrypted with a passphrase of your choice.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">47</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg232">
+ <source xml:space="preserve">Encrypt Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">50</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg233">
+ <source xml:space="preserve">Advanced Options</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">76</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg234">
+ <source xml:space="preserve">Disable private keys for this wallet. Wallets with private keys disabled will have no private keys and cannot have an HD seed or imported private keys. This is ideal for watch-only wallets.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">85</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg235">
+ <source xml:space="preserve">Disable Private Keys</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">88</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg236">
+ <source xml:space="preserve">Make a blank wallet. Blank wallets do not initially have private keys or scripts. Private keys and addresses can be imported, or an HD seed can be set, at a later time.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">95</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg237">
+ <source xml:space="preserve">Make Blank Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg238">
+ <source xml:space="preserve">Use descriptors for scriptPubKey management</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">105</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg239">
+ <source xml:space="preserve">Descriptor Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">108</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg240">
+ <source xml:space="preserve">Use an external signing device such as a hardware wallet. Configure the external signer script in wallet preferences first.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">118</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg241">
+ <source xml:space="preserve">External signer</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">121</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../createwalletdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="CreateWalletDialog">
+ <trans-unit id="_msg242">
+ <source xml:space="preserve">Create</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">22</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg243">
+ <source xml:space="preserve">Compiled without sqlite support (required for descriptor wallets)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg244">
+ <source xml:space="preserve">Compiled without external signing support (required for external signing)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">104</context></context-group>
+ <note annotates="source" from="developer">&quot;External signing&quot; means using devices such as hardware wallets.</note>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/editaddressdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="EditAddressDialog">
+ <trans-unit id="_msg245" approved="yes">
+ <source xml:space="preserve">Edit Address</source>
+ <target xml:space="preserve">Edit Address</target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg246" approved="yes">
+ <source xml:space="preserve">&amp;Label</source>
+ <target xml:space="preserve">&amp;Label</target>
+ <context-group purpose="location"><context context-type="linenumber">25</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg247">
+ <source xml:space="preserve">The label associated with this address list entry</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">35</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg248">
+ <source xml:space="preserve">The address associated with this address list entry. This can only be modified for sending addresses.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">52</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg249" approved="yes">
+ <source xml:space="preserve">&amp;Address</source>
+ <target xml:space="preserve">&amp;Address</target>
+ <context-group purpose="location"><context context-type="linenumber">42</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../editaddressdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="EditAddressDialog">
+ <trans-unit id="_msg250">
+ <source xml:space="preserve">New sending address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">29</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg251">
+ <source xml:space="preserve">Edit receiving address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">32</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg252">
+ <source xml:space="preserve">Edit sending address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">36</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg253">
+ <source xml:space="preserve">The entered address &quot;%1&quot; is not a valid Bitcoin address.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">113</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg254">
+ <source xml:space="preserve">Address &quot;%1&quot; already exists as a receiving address with label &quot;%2&quot; and so cannot be added as a sending address.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">146</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg255">
+ <source xml:space="preserve">The entered address &quot;%1&quot; is already in the address book with label &quot;%2&quot;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">151</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg256">
+ <source xml:space="preserve">Could not unlock wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">123</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg257">
+ <source xml:space="preserve">New key generation failed.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">128</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../intro.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="FreespaceChecker">
+ <trans-unit id="_msg258" approved="yes">
+ <source xml:space="preserve">A new data directory will be created.</source>
+ <target xml:space="preserve">A new data directory will be created.</target>
+ <context-group purpose="location"><context context-type="linenumber">73</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg259" approved="yes">
+ <source xml:space="preserve">name</source>
+ <target xml:space="preserve">name</target>
+ <context-group purpose="location"><context context-type="linenumber">95</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg260" approved="yes">
+ <source xml:space="preserve">Directory already exists. Add %1 if you intend to create a new directory here.</source>
+ <target xml:space="preserve">Directory already exists. Add %1 if you intend to create a new directory here.</target>
+ <context-group purpose="location"><context context-type="linenumber">97</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg261" approved="yes">
+ <source xml:space="preserve">Path already exists, and is not a directory.</source>
+ <target xml:space="preserve">Path already exists, and is not a directory.</target>
+ <context-group purpose="location"><context context-type="linenumber">100</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg262" approved="yes">
+ <source xml:space="preserve">Cannot create data directory here.</source>
+ <target xml:space="preserve">Cannot create data directory here.</target>
+ <context-group purpose="location"><context context-type="linenumber">107</context></context-group>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="Intro">
+ <trans-unit id="_msg263">
+ <source xml:space="preserve">Bitcoin</source>
+ <target xml:space="preserve" state="needs-review-translation">Bitcoin</target>
+ <context-group purpose="location"><context context-type="linenumber">139</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg264">
+ <source xml:space="preserve">%1 GB of free space available</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">301</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg265">
+ <source xml:space="preserve">(of %1 GB needed)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">303</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg266">
+ <source xml:space="preserve">(%1 GB needed for full chain)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">306</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg267">
+ <source xml:space="preserve">At least %1 GB of data will be stored in this directory, and it will grow over time.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">378</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg268">
+ <source xml:space="preserve">Approximately %1 GB of data will be stored in this directory.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">381</context></context-group>
+ </trans-unit>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">390</context></context-group>
+ <note annotates="source" from="developer">Explanatory text on the capability of the current prune target.</note>
+ <trans-unit id="_msg269[0]">
+ <source xml:space="preserve">(sufficient to restore backups %n day(s) old)</source>
+ <target xml:space="preserve" state="needs-review-translation">(sufficient to restore backups %n day old)</target>
+ </trans-unit>
+ <trans-unit id="_msg269[1]">
+ <source xml:space="preserve">(sufficient to restore backups %n day(s) old)</source>
+ <target xml:space="preserve" state="needs-review-translation">(sufficient to restore backups %n days old)</target>
+ </trans-unit>
+ </group>
+ <trans-unit id="_msg270">
+ <source xml:space="preserve">%1 will download and store a copy of the Bitcoin block chain.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">392</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg271">
+ <source xml:space="preserve">The wallet will also be stored in this directory.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">394</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg272">
+ <source xml:space="preserve">Error: Specified data directory &quot;%1&quot; cannot be created.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">250</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg273" approved="yes">
+ <source xml:space="preserve">Error</source>
+ <target xml:space="preserve">Error</target>
+ <context-group purpose="location"><context context-type="linenumber">280</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../utilitydialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="HelpMessageDialog">
+ <trans-unit id="_msg274">
+ <source xml:space="preserve">version</source>
+ <target xml:space="preserve" state="needs-review-translation">version</target>
+ <context-group purpose="location"><context context-type="linenumber">37</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg275">
+ <source xml:space="preserve">About %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">41</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg276">
+ <source xml:space="preserve">Command-line options</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">60</context></context-group>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="ShutdownWindow">
+ <trans-unit id="_msg277">
+ <source xml:space="preserve">%1 is shutting down…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">145</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg278">
+ <source xml:space="preserve">Do not shut down the computer until this window disappears.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">146</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/intro.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="Intro">
+ <trans-unit id="_msg279" approved="yes">
+ <source xml:space="preserve">Welcome</source>
+ <target xml:space="preserve">Welcome</target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg280">
+ <source xml:space="preserve">Welcome to %1.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">23</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg281">
+ <source xml:space="preserve">As this is the first time the program is launched, you can choose where %1 will store its data.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">49</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg282">
+ <source xml:space="preserve">When you click OK, %1 will begin to download and process the full %4 block chain (%2GB) starting with the earliest transactions in %3 when %4 initially launched.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">206</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg283">
+ <source xml:space="preserve">Limit block chain storage to</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">238</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg284">
+ <source xml:space="preserve">Reverting this setting requires re-downloading the entire blockchain. It is faster to download the full chain first and prune it later. Disables some advanced features.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">241</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg285">
+ <source xml:space="preserve"> GB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">248</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg286">
+ <source xml:space="preserve">This initial synchronisation is very demanding, and may expose hardware problems with your computer that had previously gone unnoticed. Each time you run %1, it will continue downloading where it left off.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">216</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg287">
+ <source xml:space="preserve">If you have chosen to limit block chain storage (pruning), the historical data must still be downloaded and processed, but will be deleted afterward to keep your disk usage low.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">226</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg288" approved="yes">
+ <source xml:space="preserve">Use the default data directory</source>
+ <target xml:space="preserve">Use the default data directory</target>
+ <context-group purpose="location"><context context-type="linenumber">66</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg289" approved="yes">
+ <source xml:space="preserve">Use a custom data directory:</source>
+ <target xml:space="preserve">Use a custom data directory:</target>
+ <context-group purpose="location"><context context-type="linenumber">73</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/modaloverlay.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="ModalOverlay">
+ <trans-unit id="_msg290">
+ <source xml:space="preserve">Form</source>
+ <target xml:space="preserve" state="needs-review-translation">Form</target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg291">
+ <source xml:space="preserve">Recent transactions may not yet be visible, and therefore your wallet&apos;s balance might be incorrect. This information will be correct once your wallet has finished synchronizing with the bitcoin network, as detailed below.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">133</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg292">
+ <source xml:space="preserve">Attempting to spend bitcoins that are affected by not-yet-displayed transactions will not be accepted by the network.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">152</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg293">
+ <source xml:space="preserve">Number of blocks left</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">215</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg294">
+ <source xml:space="preserve">Unknown…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">222</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">248</context></context-group>
+ <context-group purpose="location"><context context-type="sourcefile">../modaloverlay.cpp</context><context context-type="linenumber">152</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg295">
+ <source xml:space="preserve">calculating…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">292</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">312</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg296">
+ <source xml:space="preserve">Last block time</source>
+ <target xml:space="preserve" state="needs-review-translation">Last block time</target>
+ <context-group purpose="location"><context context-type="linenumber">235</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg297">
+ <source xml:space="preserve">Progress</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">261</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg298">
+ <source xml:space="preserve">Progress increase per hour</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">285</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg299">
+ <source xml:space="preserve">Estimated time left until synced</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">305</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg300">
+ <source xml:space="preserve">Hide</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">342</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg301">
+ <source xml:space="preserve">Esc</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">345</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../modaloverlay.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="ModalOverlay">
+ <trans-unit id="_msg302">
+ <source xml:space="preserve">%1 is currently syncing. It will download headers and blocks from peers and validate them until reaching the tip of the block chain.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">34</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg303">
+ <source xml:space="preserve">Unknown. Syncing Headers (%1, %2%)…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">158</context></context-group>
+ </trans-unit>
+ </group>
+ <group restype="x-trolltech-linguist-context" resname="QObject">
+ <trans-unit id="_msg304">
+ <source xml:space="preserve">unknown</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">123</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/openuridialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="OpenURIDialog">
+ <trans-unit id="_msg305">
+ <source xml:space="preserve">Open bitcoin URI</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg306">
+ <source xml:space="preserve">URI:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">22</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg307">
+ <source xml:space="preserve">Paste address from clipboard</source>
+ <target xml:space="preserve" state="needs-review-translation">Paste address from clipboard</target>
+ <context-group purpose="location"><context context-type="linenumber">36</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for button that allows you to paste an address that is in your clipboard.</note>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/optionsdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="OptionsDialog">
+ <trans-unit id="_msg308" approved="yes">
+ <source xml:space="preserve">Options</source>
+ <target xml:space="preserve">Options</target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg309" approved="yes">
+ <source xml:space="preserve">&amp;Main</source>
+ <target xml:space="preserve">&amp;Main</target>
+ <context-group purpose="location"><context context-type="linenumber">27</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg310">
+ <source xml:space="preserve">Automatically start %1 after logging in to the system.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">33</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg311">
+ <source xml:space="preserve">&amp;Start %1 on system login</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">36</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg312">
+ <source xml:space="preserve">Enabling pruning significantly reduces the disk space required to store transactions. All blocks are still fully validated. Reverting this setting requires re-downloading the entire blockchain.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">58</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg313">
+ <source xml:space="preserve">Size of &amp;database cache</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">111</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg314">
+ <source xml:space="preserve">Number of script &amp;verification threads</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">157</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg315">
+ <source xml:space="preserve">IP address of the proxy (e.g. IPv4: 127.0.0.1 / IPv6: ::1)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">388</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">575</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg316">
+ <source xml:space="preserve">Shows if the supplied default SOCKS5 proxy is used to reach peers via this network type.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">457</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">480</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">503</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg317">
+ <source xml:space="preserve">Minimize instead of exit the application when the window is closed. When this option is enabled, the application will be closed only after selecting Exit in the menu.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">672</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg318">
+ <source xml:space="preserve">Open the %1 configuration file from the working directory.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">944</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg319">
+ <source xml:space="preserve">Open Configuration File</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">947</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg320" approved="yes">
+ <source xml:space="preserve">Reset all client options to default.</source>
+ <target xml:space="preserve">Reset all client options to default.</target>
+ <context-group purpose="location"><context context-type="linenumber">957</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg321" approved="yes">
+ <source xml:space="preserve">&amp;Reset Options</source>
+ <target xml:space="preserve">&amp;Reset Options</target>
+ <context-group purpose="location"><context context-type="linenumber">960</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg322" approved="yes">
+ <source xml:space="preserve">&amp;Network</source>
+ <target xml:space="preserve">&amp;Network</target>
+ <context-group purpose="location"><context context-type="linenumber">315</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg323">
+ <source xml:space="preserve">Prune &amp;block storage to</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">61</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg324">
+ <source xml:space="preserve">GB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">71</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg325">
+ <source xml:space="preserve">Reverting this setting requires re-downloading the entire blockchain.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">96</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg326">
+ <source xml:space="preserve">Maximum database cache size. A larger cache can contribute to faster sync, after which the benefit is less pronounced for most use cases. Lowering the cache size will reduce memory usage. Unused mempool memory is shared for this cache.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">108</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for Options window setting that sets the size of the database cache. Explains the corresponding effects of increasing/decreasing this value.</note>
+ </trans-unit>
+ <trans-unit id="_msg327">
+ <source xml:space="preserve">MiB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">127</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg328">
+ <source xml:space="preserve">Set the number of script verification threads. Negative values correspond to the number of cores you want to leave free to the system.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">154</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for Options window setting that sets the number of script verification threads. Explains that negative values mean to leave these many cores free to the system.</note>
+ </trans-unit>
+ <trans-unit id="_msg329">
+ <source xml:space="preserve">(0 = auto, &lt;0 = leave that many cores free)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">170</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg330">
+ <source xml:space="preserve">This allows you or a third party tool to communicate with the node through command-line and JSON-RPC commands.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">192</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for Options window setting that enables the RPC server.</note>
+ </trans-unit>
+ <trans-unit id="_msg331">
+ <source xml:space="preserve">Enable R&amp;PC server</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">195</context></context-group>
+ <note annotates="source" from="developer">An Options window setting to enable the RPC server.</note>
+ </trans-unit>
+ <trans-unit id="_msg332">
+ <source xml:space="preserve">W&amp;allet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">216</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg333">
+ <source xml:space="preserve">Whether to set subtract fee from amount as default or not.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">222</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for Options window setting that sets subtracting the fee from a sending amount as default.</note>
+ </trans-unit>
+ <trans-unit id="_msg334">
+ <source xml:space="preserve">Subtract &amp;fee from amount by default</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">225</context></context-group>
+ <note annotates="source" from="developer">An Options window setting to set subtracting the fee from a sending amount as default.</note>
+ </trans-unit>
+ <trans-unit id="_msg335">
+ <source xml:space="preserve">Expert</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">232</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg336">
+ <source xml:space="preserve">Enable coin &amp;control features</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">241</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg337">
+ <source xml:space="preserve">If you disable the spending of unconfirmed change, the change from a transaction cannot be used until that transaction has at least one confirmation. This also affects how your balance is computed.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">248</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg338">
+ <source xml:space="preserve">&amp;Spend unconfirmed change</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">251</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg339">
+ <source xml:space="preserve">Enable &amp;PSBT controls</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">258</context></context-group>
+ <note annotates="source" from="developer">An options window setting to enable PSBT controls.</note>
+ </trans-unit>
+ <trans-unit id="_msg340">
+ <source xml:space="preserve">Whether to show PSBT controls.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">261</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for options window setting that enables PSBT controls.</note>
+ </trans-unit>
+ <trans-unit id="_msg341">
+ <source xml:space="preserve">External Signer (e.g. hardware wallet)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">271</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg342">
+ <source xml:space="preserve">&amp;External signer script path</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">279</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg343">
+ <source xml:space="preserve">Full path to a Bitcoin Core compatible script (e.g. C:\Downloads\hwi.exe or /Users/you/Downloads/hwi.py). Beware: malware can steal your coins!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">289</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg344" approved="yes">
+ <source xml:space="preserve">Automatically open the Bitcoin client port on the router. This only works when your router supports UPnP and it is enabled.</source>
+ <target xml:space="preserve">Automatically open the Bitcoin client port on the router. This only works when your router supports UPnP and it is enabled.</target>
+ <context-group purpose="location"><context context-type="linenumber">321</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg345" approved="yes">
+ <source xml:space="preserve">Map port using &amp;UPnP</source>
+ <target xml:space="preserve">Map port using &amp;UPnP</target>
+ <context-group purpose="location"><context context-type="linenumber">324</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg346">
+ <source xml:space="preserve">Automatically open the Bitcoin client port on the router. This only works when your router supports NAT-PMP and it is enabled. The external port could be random.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">331</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg347">
+ <source xml:space="preserve">Map port using NA&amp;T-PMP</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">334</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg348">
+ <source xml:space="preserve">Accept connections from outside.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">341</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg349">
+ <source xml:space="preserve">Allow incomin&amp;g connections</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">344</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg350">
+ <source xml:space="preserve">Connect to the Bitcoin network through a SOCKS5 proxy.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">351</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg351">
+ <source xml:space="preserve">&amp;Connect through SOCKS5 proxy (default proxy):</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">354</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg352" approved="yes">
+ <source xml:space="preserve">Proxy &amp;IP:</source>
+ <target xml:space="preserve">Proxy &amp;IP:</target>
+ <context-group purpose="location"><context context-type="linenumber">363</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">550</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg353" approved="yes">
+ <source xml:space="preserve">&amp;Port:</source>
+ <target xml:space="preserve">&amp;Port:</target>
+ <context-group purpose="location"><context context-type="linenumber">395</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">582</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg354" approved="yes">
+ <source xml:space="preserve">Port of the proxy (e.g. 9050)</source>
+ <target xml:space="preserve">Port of the proxy (e.g. 9050)</target>
+ <context-group purpose="location"><context context-type="linenumber">420</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">607</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg355">
+ <source xml:space="preserve">Used for reaching peers via:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">444</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg356">
+ <source xml:space="preserve">IPv4</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">467</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg357">
+ <source xml:space="preserve">IPv6</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">490</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg358">
+ <source xml:space="preserve">Tor</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">513</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg359" approved="yes">
+ <source xml:space="preserve">&amp;Window</source>
+ <target xml:space="preserve">&amp;Window</target>
+ <context-group purpose="location"><context context-type="linenumber">643</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg360">
+ <source xml:space="preserve">Show the icon in the system tray.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">649</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg361">
+ <source xml:space="preserve">&amp;Show tray icon</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">652</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg362" approved="yes">
+ <source xml:space="preserve">Show only a tray icon after minimizing the window.</source>
+ <target xml:space="preserve">Show only a tray icon after minimizing the window.</target>
+ <context-group purpose="location"><context context-type="linenumber">662</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg363" approved="yes">
+ <source xml:space="preserve">&amp;Minimize to the tray instead of the taskbar</source>
+ <target xml:space="preserve">&amp;Minimize to the tray instead of the taskbar</target>
+ <context-group purpose="location"><context context-type="linenumber">665</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg364" approved="yes">
+ <source xml:space="preserve">M&amp;inimize on close</source>
+ <target xml:space="preserve">M&amp;inimize on close</target>
+ <context-group purpose="location"><context context-type="linenumber">675</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg365" approved="yes">
+ <source xml:space="preserve">&amp;Display</source>
+ <target xml:space="preserve">&amp;Display</target>
+ <context-group purpose="location"><context context-type="linenumber">696</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg366" approved="yes">
+ <source xml:space="preserve">User Interface &amp;language:</source>
+ <target xml:space="preserve">User Interface &amp;language:</target>
+ <context-group purpose="location"><context context-type="linenumber">704</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg367">
+ <source xml:space="preserve">The user interface language can be set here. This setting will take effect after restarting %1.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">717</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg368" approved="yes">
+ <source xml:space="preserve">&amp;Unit to show amounts in:</source>
+ <target xml:space="preserve">&amp;Unit to show amounts in:</target>
+ <context-group purpose="location"><context context-type="linenumber">728</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg369" approved="yes">
+ <source xml:space="preserve">Choose the default subdivision unit to show in the interface and when sending coins.</source>
+ <target xml:space="preserve">Choose the default subdivision unit to show in the interface and when sending coins.</target>
+ <context-group purpose="location"><context context-type="linenumber">741</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg370">
+ <source xml:space="preserve">Third-party URLs (e.g. a block explorer) that appear in the transactions tab as context menu items. %s in the URL is replaced by transaction hash. Multiple URLs are separated by vertical bar |.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">752</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">765</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg371">
+ <source xml:space="preserve">&amp;Third-party transaction URLs</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">755</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg372">
+ <source xml:space="preserve">Whether to show coin control features or not.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">238</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg373">
+ <source xml:space="preserve">Connect to the Bitcoin network through a separate SOCKS5 proxy for Tor onion services.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">538</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg374">
+ <source xml:space="preserve">Use separate SOCKS&amp;5 proxy to reach peers via Tor onion services:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">541</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg375">
+ <source xml:space="preserve">Monospaced font in the Overview tab:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">777</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg376">
+ <source xml:space="preserve">embedded &quot;%1&quot;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">785</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg377">
+ <source xml:space="preserve">closest matching &quot;%1&quot;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">834</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg378">
+ <source xml:space="preserve">Options set in this dialog are overridden by the command line or in the configuration file:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">899</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg379" approved="yes">
+ <source xml:space="preserve">&amp;OK</source>
+ <target xml:space="preserve">&amp;OK</target>
+ <context-group purpose="location"><context context-type="linenumber">1040</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg380" approved="yes">
+ <source xml:space="preserve">&amp;Cancel</source>
+ <target xml:space="preserve">&amp;Cancel</target>
+ <context-group purpose="location"><context context-type="linenumber">1053</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../optionsdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="OptionsDialog">
+ <trans-unit id="_msg381">
+ <source xml:space="preserve">Compiled without external signing support (required for external signing)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">99</context></context-group>
+ <note annotates="source" from="developer">&quot;External signing&quot; means using devices such as hardware wallets.</note>
+ </trans-unit>
+ <trans-unit id="_msg382" approved="yes">
+ <source xml:space="preserve">default</source>
+ <target xml:space="preserve">default</target>
+ <context-group purpose="location"><context context-type="linenumber">111</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg383">
+ <source xml:space="preserve">none</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">192</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg384" approved="yes">
+ <source xml:space="preserve">Confirm options reset</source>
+ <target xml:space="preserve">Confirm options reset</target>
+ <context-group purpose="location"><context context-type="linenumber">289</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg385">
+ <source xml:space="preserve">Client restart required to activate changes.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">290</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">360</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg386">
+ <source xml:space="preserve">Client will be shut down. Do you want to proceed?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">290</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg387">
+ <source xml:space="preserve">Configuration options</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">308</context></context-group>
+ <note annotates="source" from="developer">Window title text of pop-up box that allows opening up of configuration file.</note>
+ </trans-unit>
+ <trans-unit id="_msg388">
+ <source xml:space="preserve">The configuration file is used to specify advanced user options which override GUI settings. Additionally, any command-line options will override this configuration file.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">311</context></context-group>
+ <note annotates="source" from="developer">Explanatory text about the priority order of instructions considered by client. The order from high to low being: command-line, configuration file, GUI settings.</note>
+ </trans-unit>
+ <trans-unit id="_msg389">
+ <source xml:space="preserve">Continue</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">314</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg390">
+ <source xml:space="preserve">Cancel</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">315</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg391">
+ <source xml:space="preserve">Error</source>
+ <target xml:space="preserve" state="needs-review-translation">Error</target>
+ <context-group purpose="location"><context context-type="linenumber">324</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg392">
+ <source xml:space="preserve">The configuration file could not be opened.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">324</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg393">
+ <source xml:space="preserve">This change would require a client restart.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">364</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg394" approved="yes">
+ <source xml:space="preserve">The supplied proxy address is invalid.</source>
+ <target xml:space="preserve">The supplied proxy address is invalid.</target>
+ <context-group purpose="location"><context context-type="linenumber">392</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/overviewpage.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="OverviewPage">
+ <trans-unit id="_msg395" approved="yes">
+ <source xml:space="preserve">Form</source>
+ <target xml:space="preserve">Form</target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg396" approved="yes">
+ <source xml:space="preserve">The displayed information may be out of date. Your wallet automatically synchronizes with the Bitcoin network after a connection is established, but this process has not completed yet.</source>
+ <target xml:space="preserve">The displayed information may be out of date. Your wallet automatically synchronizes with the Bitcoin network after a connection is established, but this process has not completed yet.</target>
+ <context-group purpose="location"><context context-type="linenumber">76</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">411</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg397">
+ <source xml:space="preserve">Watch-only:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">284</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg398">
+ <source xml:space="preserve">Available:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">294</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg399" approved="yes">
+ <source xml:space="preserve">Your current spendable balance</source>
+ <target xml:space="preserve">Your current spendable balance</target>
+ <context-group purpose="location"><context context-type="linenumber">304</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg400">
+ <source xml:space="preserve">Pending:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">339</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg401" approved="yes">
+ <source xml:space="preserve">Total of transactions that have yet to be confirmed, and do not yet count toward the spendable balance</source>
+ <target xml:space="preserve">Total of transactions that have yet to be confirmed, and do not yet count toward the spendable balance</target>
+ <context-group purpose="location"><context context-type="linenumber">139</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg402" approved="yes">
+ <source xml:space="preserve">Immature:</source>
+ <target xml:space="preserve">Immature:</target>
+ <context-group purpose="location"><context context-type="linenumber">239</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg403" approved="yes">
+ <source xml:space="preserve">Mined balance that has not yet matured</source>
+ <target xml:space="preserve">Mined balance that has not yet matured</target>
+ <context-group purpose="location"><context context-type="linenumber">210</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg404">
+ <source xml:space="preserve">Balances</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">60</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg405" approved="yes">
+ <source xml:space="preserve">Total:</source>
+ <target xml:space="preserve">Total:</target>
+ <context-group purpose="location"><context context-type="linenumber">200</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg406" approved="yes">
+ <source xml:space="preserve">Your current total balance</source>
+ <target xml:space="preserve">Your current total balance</target>
+ <context-group purpose="location"><context context-type="linenumber">249</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg407">
+ <source xml:space="preserve">Your current balance in watch-only addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">323</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg408">
+ <source xml:space="preserve">Spendable:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">346</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg409">
+ <source xml:space="preserve">Recent transactions</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">395</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg410">
+ <source xml:space="preserve">Unconfirmed transactions to watch-only addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">120</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg411">
+ <source xml:space="preserve">Mined balance in watch-only addresses that has not yet matured</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">158</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg412">
+ <source xml:space="preserve">Current total balance in watch-only addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">268</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../overviewpage.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="OverviewPage">
+ <trans-unit id="_msg413">
+ <source xml:space="preserve">Privacy mode activated for the Overview tab. To unmask the values, uncheck Settings-&gt;Mask values.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">187</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/psbtoperationsdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="PSBTOperationsDialog">
+ <trans-unit id="_msg414">
+ <source xml:space="preserve">Dialog</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg415">
+ <source xml:space="preserve">Sign Tx</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">86</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg416">
+ <source xml:space="preserve">Broadcast Tx</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">102</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg417">
+ <source xml:space="preserve">Copy to Clipboard</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">122</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg418">
+ <source xml:space="preserve">Save…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">129</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg419">
+ <source xml:space="preserve">Close</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">136</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../psbtoperationsdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="PSBTOperationsDialog">
+ <trans-unit id="_msg420">
+ <source xml:space="preserve">Failed to load transaction: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">58</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg421">
+ <source xml:space="preserve">Failed to sign transaction: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">83</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg422">
+ <source xml:space="preserve">Cannot sign inputs while wallet is locked.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">91</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg423">
+ <source xml:space="preserve">Could not sign any more inputs.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">93</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg424">
+ <source xml:space="preserve">Signed %1 inputs, but more signatures are still required.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">95</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg425">
+ <source xml:space="preserve">Signed transaction successfully. Transaction is ready to broadcast.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg426">
+ <source xml:space="preserve">Unknown error processing transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">110</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg427">
+ <source xml:space="preserve">Transaction broadcast successfully! Transaction ID: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">120</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg428">
+ <source xml:space="preserve">Transaction broadcast failed: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">123</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg429">
+ <source xml:space="preserve">PSBT copied to clipboard.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">132</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg430">
+ <source xml:space="preserve">Save Transaction Data</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">155</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg431">
+ <source xml:space="preserve">Partially Signed Transaction (Binary)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">157</context></context-group>
+ <note annotates="source" from="developer">Expanded name of the binary PSBT file format. See: BIP 174.</note>
+ </trans-unit>
+ <trans-unit id="_msg432">
+ <source xml:space="preserve">PSBT saved to disk.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">164</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg433">
+ <source xml:space="preserve"> * Sends %1 to %2</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg434">
+ <source xml:space="preserve">Unable to calculate transaction fee or total transaction amount.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">190</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg435">
+ <source xml:space="preserve">Pays transaction fee: </source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">192</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg436">
+ <source xml:space="preserve">Total Amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">204</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg437">
+ <source xml:space="preserve">or</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">207</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg438">
+ <source xml:space="preserve">Transaction has %1 unsigned inputs.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">213</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg439">
+ <source xml:space="preserve">Transaction is missing some information about inputs.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">259</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg440">
+ <source xml:space="preserve">Transaction still needs signature(s).</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">263</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg441">
+ <source xml:space="preserve">(But no wallet is loaded.)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">266</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg442">
+ <source xml:space="preserve">(But this wallet cannot sign transactions.)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">269</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg443">
+ <source xml:space="preserve">(But this wallet does not have the right keys.)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">272</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg444">
+ <source xml:space="preserve">Transaction is fully signed and ready for broadcast.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">280</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg445">
+ <source xml:space="preserve">Transaction status is unknown.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">284</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../paymentserver.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="PaymentServer">
+ <trans-unit id="_msg446">
+ <source xml:space="preserve">Payment request error</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">173</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg447">
+ <source xml:space="preserve">Cannot start bitcoin: click-to-pay handler</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">174</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg448">
+ <source xml:space="preserve">URI handling</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">224</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">240</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">246</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">253</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg449">
+ <source xml:space="preserve">&apos;bitcoin://&apos; is not a valid URI. Use &apos;bitcoin:&apos; instead.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">224</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg450">
+ <source xml:space="preserve">Cannot process payment request because BIP70 is not supported.
+Due to widespread security flaws in BIP70 it&apos;s strongly recommended that any merchant instructions to switch wallets be ignored.
+If you are receiving this error you should request the merchant provide a BIP21 compatible URI.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">241</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">264</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg451">
+ <source xml:space="preserve">URI cannot be parsed! This can be caused by an invalid Bitcoin address or malformed URI parameters.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">254</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg452">
+ <source xml:space="preserve">Payment request file handling</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">263</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../peertablemodel.h" datatype="c" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="PeerTableModel">
+ <trans-unit id="_msg453">
+ <source xml:space="preserve">User Agent</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">108</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which contains the peer&apos;s User Agent string.</note>
+ </trans-unit>
+ <trans-unit id="_msg454">
+ <source xml:space="preserve">Ping</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">99</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which indicates the current latency of the connection with the peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg455">
+ <source xml:space="preserve">Peer</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">84</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which contains a unique number used to identify a connection.</note>
+ </trans-unit>
+ <trans-unit id="_msg456">
+ <source xml:space="preserve">Direction</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which indicates the direction the peer connection was initiated from.</note>
+ </trans-unit>
+ <trans-unit id="_msg457">
+ <source xml:space="preserve">Sent</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">102</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which indicates the total amount of network information we have sent to the peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg458">
+ <source xml:space="preserve">Received</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">105</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which indicates the total amount of network information we have received from the peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg459">
+ <source xml:space="preserve">Address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">87</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which contains the IP/Onion/I2P address of the connected peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg460">
+ <source xml:space="preserve">Type</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">93</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which describes the type of peer connection. The &quot;type&quot; describes why the connection exists.</note>
+ </trans-unit>
+ <trans-unit id="_msg461">
+ <source xml:space="preserve">Network</source>
+ <target xml:space="preserve" state="needs-review-translation">Network</target>
+ <context-group purpose="location"><context context-type="linenumber">96</context></context-group>
+ <note annotates="source" from="developer">Title of Peers Table column which states the network the peer connected through.</note>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../peertablemodel.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="PeerTableModel">
+ <trans-unit id="_msg462">
+ <source xml:space="preserve">Inbound</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">79</context></context-group>
+ <note annotates="source" from="developer">An Inbound Connection from a Peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg463">
+ <source xml:space="preserve">Outbound</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">81</context></context-group>
+ <note annotates="source" from="developer">An Outbound Connection to a Peer.</note>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../bitcoinunits.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="QObject">
+ <trans-unit id="_msg464">
+ <source xml:space="preserve">Amount</source>
+ <target xml:space="preserve" state="needs-review-translation">Amount</target>
+ <context-group purpose="location"><context context-type="linenumber">215</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../guiutil.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="QObject">
+ <trans-unit id="_msg465">
+ <source xml:space="preserve">Enter a Bitcoin address (e.g. %1)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">122</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg466">
+ <source xml:space="preserve">Unroutable</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">668</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg467">
+ <source xml:space="preserve">Internal</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">674</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg468">
+ <source xml:space="preserve">Inbound</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">687</context></context-group>
+ <note annotates="source" from="developer">An inbound connection from a peer. An inbound connection is a connection initiated by a peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg469">
+ <source xml:space="preserve">Outbound</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">690</context></context-group>
+ <note annotates="source" from="developer">An outbound connection to a peer. An outbound connection is a connection initiated by us.</note>
+ </trans-unit>
+ <trans-unit id="_msg470">
+ <source xml:space="preserve">Full Relay</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">695</context></context-group>
+ <note annotates="source" from="developer">Peer connection type that relays all network information.</note>
+ </trans-unit>
+ <trans-unit id="_msg471">
+ <source xml:space="preserve">Block Relay</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">698</context></context-group>
+ <note annotates="source" from="developer">Peer connection type that relays network information about blocks and not transactions or addresses.</note>
+ </trans-unit>
+ <trans-unit id="_msg472">
+ <source xml:space="preserve">Manual</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">700</context></context-group>
+ <note annotates="source" from="developer">Peer connection type established manually through one of several methods.</note>
+ </trans-unit>
+ <trans-unit id="_msg473">
+ <source xml:space="preserve">Feeler</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">702</context></context-group>
+ <note annotates="source" from="developer">Short-lived peer connection type that tests the aliveness of known addresses.</note>
+ </trans-unit>
+ <trans-unit id="_msg474">
+ <source xml:space="preserve">Address Fetch</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">704</context></context-group>
+ <note annotates="source" from="developer">Short-lived peer connection type that solicits known addresses from a peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg475">
+ <source xml:space="preserve">%1 d</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">719</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg476">
+ <source xml:space="preserve">%1 h</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">721</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg477">
+ <source xml:space="preserve">%1 m</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">723</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg478">
+ <source xml:space="preserve">%1 s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">725</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">753</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg479">
+ <source xml:space="preserve">None</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">741</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg480">
+ <source xml:space="preserve">N/A</source>
+ <target xml:space="preserve" state="needs-review-translation">N/A</target>
+ <context-group purpose="location"><context context-type="linenumber">747</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg481">
+ <source xml:space="preserve">%1 ms</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">748</context></context-group>
+ </trans-unit>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">766</context></context-group>
+ <trans-unit id="_msg482[0]" approved="yes">
+ <source xml:space="preserve">%n second(s)</source>
+ <target xml:space="preserve">%n second</target>
+ </trans-unit>
+ <trans-unit id="_msg482[1]" approved="yes">
+ <source xml:space="preserve">%n second(s)</source>
+ <target xml:space="preserve">%n seconds</target>
+ </trans-unit>
+ </group>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">770</context></context-group>
+ <trans-unit id="_msg483[0]" approved="yes">
+ <source xml:space="preserve">%n minute(s)</source>
+ <target xml:space="preserve">%n minute</target>
+ </trans-unit>
+ <trans-unit id="_msg483[1]" approved="yes">
+ <source xml:space="preserve">%n minute(s)</source>
+ <target xml:space="preserve">%n minutes</target>
+ </trans-unit>
+ </group>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">774</context></context-group>
+ <trans-unit id="_msg484[0]">
+ <source xml:space="preserve">%n hour(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n hour</target>
+ </trans-unit>
+ <trans-unit id="_msg484[1]">
+ <source xml:space="preserve">%n hour(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n hours</target>
+ </trans-unit>
+ </group>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">778</context></context-group>
+ <trans-unit id="_msg485[0]">
+ <source xml:space="preserve">%n day(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n day</target>
+ </trans-unit>
+ <trans-unit id="_msg485[1]">
+ <source xml:space="preserve">%n day(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n days</target>
+ </trans-unit>
+ </group>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">782</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">788</context></context-group>
+ <trans-unit id="_msg486[0]">
+ <source xml:space="preserve">%n week(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n week</target>
+ </trans-unit>
+ <trans-unit id="_msg486[1]">
+ <source xml:space="preserve">%n week(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n weeks</target>
+ </trans-unit>
+ </group>
+ <trans-unit id="_msg487">
+ <source xml:space="preserve">%1 and %2</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">788</context></context-group>
+ </trans-unit>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">788</context></context-group>
+ <trans-unit id="_msg488[0]">
+ <source xml:space="preserve">%n year(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n year</target>
+ </trans-unit>
+ <trans-unit id="_msg488[1]">
+ <source xml:space="preserve">%n year(s)</source>
+ <target xml:space="preserve" state="needs-review-translation">%n years</target>
+ </trans-unit>
+ </group>
+ <trans-unit id="_msg489">
+ <source xml:space="preserve">%1 B</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">796</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg490">
+ <source xml:space="preserve">%1 kB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">798</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg491">
+ <source xml:space="preserve">%1 MB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">800</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg492">
+ <source xml:space="preserve">%1 GB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">802</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../qrimagewidget.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="QRImageWidget">
+ <trans-unit id="_msg493">
+ <source xml:space="preserve">&amp;Save Image…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">30</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg494">
+ <source xml:space="preserve">&amp;Copy Image</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">31</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg495">
+ <source xml:space="preserve">Resulting URI too long, try to reduce the text for label / message.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">42</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg496">
+ <source xml:space="preserve">Error encoding URI into QR Code.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">49</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg497">
+ <source xml:space="preserve">QR code support not available.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg498">
+ <source xml:space="preserve">Save QR Code</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">120</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg499">
+ <source xml:space="preserve">PNG Image</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">123</context></context-group>
+ <note annotates="source" from="developer">Expanded name of the PNG file format. See: https://en.wikipedia.org/wiki/Portable_Network_Graphics.</note>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/debugwindow.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="RPCConsole">
+ <trans-unit id="_msg500" approved="yes">
+ <source xml:space="preserve">N/A</source>
+ <target xml:space="preserve">N/A</target>
+ <context-group purpose="location"><context context-type="linenumber">75</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">101</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">127</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">156</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">182</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">218</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">241</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">277</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">300</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">336</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">359</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1051</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1077</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1103</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1126</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1149</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1172</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1201</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1227</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1250</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1273</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1296</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1319</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1345</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1371</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1394</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1417</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1440</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1463</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1486</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1512</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1535</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1558</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1584</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1610</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1636</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1662</context></context-group>
+ <context-group purpose="location"><context context-type="sourcefile">../rpcconsole.h</context><context context-type="linenumber">139</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg501" approved="yes">
+ <source xml:space="preserve">Client version</source>
+ <target xml:space="preserve">Client version</target>
+ <context-group purpose="location"><context context-type="linenumber">65</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg502" approved="yes">
+ <source xml:space="preserve">&amp;Information</source>
+ <target xml:space="preserve">&amp;Information</target>
+ <context-group purpose="location"><context context-type="linenumber">43</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg503">
+ <source xml:space="preserve">General</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">58</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg504">
+ <source xml:space="preserve">Datadir</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">114</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg505">
+ <source xml:space="preserve">To specify a non-default location of the data directory use the &apos;%1&apos; option.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">124</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg506">
+ <source xml:space="preserve">Blocksdir</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">143</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg507">
+ <source xml:space="preserve">To specify a non-default location of the blocks directory use the &apos;%1&apos; option.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">153</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg508" approved="yes">
+ <source xml:space="preserve">Startup time</source>
+ <target xml:space="preserve">Startup time</target>
+ <context-group purpose="location"><context context-type="linenumber">172</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg509" approved="yes">
+ <source xml:space="preserve">Network</source>
+ <target xml:space="preserve">Network</target>
+ <context-group purpose="location"><context context-type="linenumber">201</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1093</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg510">
+ <source xml:space="preserve">Name</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">208</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg511" approved="yes">
+ <source xml:space="preserve">Number of connections</source>
+ <target xml:space="preserve">Number of connections</target>
+ <context-group purpose="location"><context context-type="linenumber">231</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg512" approved="yes">
+ <source xml:space="preserve">Block chain</source>
+ <target xml:space="preserve">Block chain</target>
+ <context-group purpose="location"><context context-type="linenumber">260</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg513">
+ <source xml:space="preserve">Memory Pool</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">319</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg514">
+ <source xml:space="preserve">Current number of transactions</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">326</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg515">
+ <source xml:space="preserve">Memory usage</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">349</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg516">
+ <source xml:space="preserve">Wallet: </source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">443</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg517">
+ <source xml:space="preserve">(none)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">454</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg518">
+ <source xml:space="preserve">&amp;Reset</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">665</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg519">
+ <source xml:space="preserve">Received</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">745</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1453</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg520">
+ <source xml:space="preserve">Sent</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">825</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1430</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg521">
+ <source xml:space="preserve">&amp;Peers</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">866</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg522">
+ <source xml:space="preserve">Banned peers</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">942</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg523">
+ <source xml:space="preserve">Select a peer to view detailed information.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1010</context></context-group>
+ <context-group purpose="location"><context context-type="sourcefile">../rpcconsole.cpp</context><context context-type="linenumber">1158</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg524">
+ <source xml:space="preserve">Version</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1116</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg525">
+ <source xml:space="preserve">Starting Block</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1240</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg526">
+ <source xml:space="preserve">Synced Headers</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1263</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg527">
+ <source xml:space="preserve">Synced Blocks</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1286</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg528">
+ <source xml:space="preserve">Last Transaction</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1361</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg529">
+ <source xml:space="preserve">The mapped Autonomous System used for diversifying peer selection.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1571</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg530">
+ <source xml:space="preserve">Mapped AS</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1574</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg531">
+ <source xml:space="preserve">Whether we relay addresses to this peer.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1597</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for the Address Relay field in the peer details area.</note>
+ </trans-unit>
+ <trans-unit id="_msg532">
+ <source xml:space="preserve">Address Relay</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1600</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg533">
+ <source xml:space="preserve">Total number of addresses processed, excluding those dropped due to rate-limiting.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1623</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for the Addresses Processed field in the peer details area.</note>
+ </trans-unit>
+ <trans-unit id="_msg534">
+ <source xml:space="preserve">Addresses Processed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1626</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg535">
+ <source xml:space="preserve">Total number of addresses dropped due to rate-limiting.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1649</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for the Addresses Rate-Limited field in the peer details area.</note>
+ </trans-unit>
+ <trans-unit id="_msg536">
+ <source xml:space="preserve">Addresses Rate-Limited</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1652</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg537">
+ <source xml:space="preserve">User Agent</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">88</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1139</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg538">
+ <source xml:space="preserve">Node window</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg539">
+ <source xml:space="preserve">Current block height</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">267</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg540">
+ <source xml:space="preserve">Open the %1 debug log file from the current data directory. This can take a few seconds for large log files.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">397</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg541">
+ <source xml:space="preserve">Decrease font size</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">475</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg542">
+ <source xml:space="preserve">Increase font size</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">495</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg543">
+ <source xml:space="preserve">Permissions</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1041</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg544">
+ <source xml:space="preserve">The direction and type of peer connection: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1064</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg545">
+ <source xml:space="preserve">Direction/Type</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1067</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg546">
+ <source xml:space="preserve">The network protocol this peer is connected through: IPv4, IPv6, Onion, I2P, or CJDNS.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1090</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg547">
+ <source xml:space="preserve">Services</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1162</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg548">
+ <source xml:space="preserve">Whether the peer requested us to relay transactions.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1188</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg549">
+ <source xml:space="preserve">Wants Tx Relay</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1191</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg550">
+ <source xml:space="preserve">High bandwidth BIP152 compact block relay: %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1214</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg551">
+ <source xml:space="preserve">High Bandwidth</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1217</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg552">
+ <source xml:space="preserve">Connection Time</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1309</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg553">
+ <source xml:space="preserve">Elapsed time since a novel block passing initial validity checks was received from this peer.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1332</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg554">
+ <source xml:space="preserve">Last Block</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1335</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg555">
+ <source xml:space="preserve">Elapsed time since a novel transaction accepted into our mempool was received from this peer.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1358</context></context-group>
+ <note annotates="source" from="developer">Tooltip text for the Last Transaction field in the peer details area.</note>
+ </trans-unit>
+ <trans-unit id="_msg556">
+ <source xml:space="preserve">Last Send</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1384</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg557">
+ <source xml:space="preserve">Last Receive</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1407</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg558">
+ <source xml:space="preserve">Ping Time</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1476</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg559">
+ <source xml:space="preserve">The duration of a currently outstanding ping.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1499</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg560">
+ <source xml:space="preserve">Ping Wait</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1502</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg561">
+ <source xml:space="preserve">Min Ping</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1525</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg562">
+ <source xml:space="preserve">Time Offset</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1548</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg563" approved="yes">
+ <source xml:space="preserve">Last block time</source>
+ <target xml:space="preserve">Last block time</target>
+ <context-group purpose="location"><context context-type="linenumber">290</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg564" approved="yes">
+ <source xml:space="preserve">&amp;Open</source>
+ <target xml:space="preserve">&amp;Open</target>
+ <context-group purpose="location"><context context-type="linenumber">400</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg565" approved="yes">
+ <source xml:space="preserve">&amp;Console</source>
+ <target xml:space="preserve">&amp;Console</target>
+ <context-group purpose="location"><context context-type="linenumber">426</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg566">
+ <source xml:space="preserve">&amp;Network Traffic</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">613</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg567">
+ <source xml:space="preserve">Totals</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">681</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg568" approved="yes">
+ <source xml:space="preserve">Debug log file</source>
+ <target xml:space="preserve">Debug log file</target>
+ <context-group purpose="location"><context context-type="linenumber">390</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg569" approved="yes">
+ <source xml:space="preserve">Clear console</source>
+ <target xml:space="preserve">Clear console</target>
+ <context-group purpose="location"><context context-type="linenumber">515</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../rpcconsole.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="RPCConsole">
+ <trans-unit id="_msg570">
+ <source xml:space="preserve">In:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">957</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg571">
+ <source xml:space="preserve">Out:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">958</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg572">
+ <source xml:space="preserve">Inbound: initiated by peer</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">501</context></context-group>
+ <note annotates="source" from="developer">Explanatory text for an inbound peer connection.</note>
+ </trans-unit>
+ <trans-unit id="_msg573">
+ <source xml:space="preserve">Outbound Full Relay: default</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">505</context></context-group>
+ <note annotates="source" from="developer">Explanatory text for an outbound peer connection that relays all network information. This is the default behavior for outbound connections.</note>
+ </trans-unit>
+ <trans-unit id="_msg574">
+ <source xml:space="preserve">Outbound Block Relay: does not relay transactions or addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">508</context></context-group>
+ <note annotates="source" from="developer">Explanatory text for an outbound peer connection that relays network information about blocks and not transactions or addresses.</note>
+ </trans-unit>
+ <trans-unit id="_msg575">
+ <source xml:space="preserve">Outbound Manual: added using RPC %1 or %2/%3 configuration options</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">513</context></context-group>
+ <note annotates="source" from="developer">Explanatory text for an outbound peer connection that was established manually through one of several methods. The numbered arguments are stand-ins for the methods available to establish manual connections.</note>
+ </trans-unit>
+ <trans-unit id="_msg576">
+ <source xml:space="preserve">Outbound Feeler: short-lived, for testing addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">519</context></context-group>
+ <note annotates="source" from="developer">Explanatory text for a short-lived outbound peer connection that is used to test the aliveness of known addresses.</note>
+ </trans-unit>
+ <trans-unit id="_msg577">
+ <source xml:space="preserve">Outbound Address Fetch: short-lived, for soliciting addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">522</context></context-group>
+ <note annotates="source" from="developer">Explanatory text for a short-lived outbound peer connection that is used to request addresses from a peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg578">
+ <source xml:space="preserve">we selected the peer for high bandwidth relay</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">526</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg579">
+ <source xml:space="preserve">the peer selected us for high bandwidth relay</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">527</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg580">
+ <source xml:space="preserve">no high bandwidth relay selected</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">528</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg581">
+ <source xml:space="preserve">Ctrl++</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">541</context></context-group>
+ <note annotates="source" from="developer">Main shortcut to increase the RPC console font size.</note>
+ </trans-unit>
+ <trans-unit id="_msg582">
+ <source xml:space="preserve">Ctrl+=</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">543</context></context-group>
+ <note annotates="source" from="developer">Secondary shortcut to increase the RPC console font size.</note>
+ </trans-unit>
+ <trans-unit id="_msg583">
+ <source xml:space="preserve">Ctrl+-</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">547</context></context-group>
+ <note annotates="source" from="developer">Main shortcut to decrease the RPC console font size.</note>
+ </trans-unit>
+ <trans-unit id="_msg584">
+ <source xml:space="preserve">Ctrl+_</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">549</context></context-group>
+ <note annotates="source" from="developer">Secondary shortcut to decrease the RPC console font size.</note>
+ </trans-unit>
+ <trans-unit id="_msg585">
+ <source xml:space="preserve">&amp;Copy address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">700</context></context-group>
+ <note annotates="source" from="developer">Context menu action to copy the address of a peer.</note>
+ </trans-unit>
+ <trans-unit id="_msg586">
+ <source xml:space="preserve">&amp;Disconnect</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">704</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg587">
+ <source xml:space="preserve">1 &amp;hour</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">705</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg588">
+ <source xml:space="preserve">1 d&amp;ay</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">706</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg589">
+ <source xml:space="preserve">1 &amp;week</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">707</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg590">
+ <source xml:space="preserve">1 &amp;year</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">708</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg591">
+ <source xml:space="preserve">&amp;Copy IP/Netmask</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">733</context></context-group>
+ <note annotates="source" from="developer">Context menu action to copy the IP/Netmask of a banned peer. IP/Netmask is the combination of a peer&apos;s IP address and its Netmask. For IP address, see: https://en.wikipedia.org/wiki/IP_address.</note>
+ </trans-unit>
+ <trans-unit id="_msg592">
+ <source xml:space="preserve">&amp;Unban</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">737</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg593">
+ <source xml:space="preserve">Network activity disabled</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">961</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg594">
+ <source xml:space="preserve">Executing command without any wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1038</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg595">
+ <source xml:space="preserve">Executing command using &quot;%1&quot; wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1036</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg596">
+ <source xml:space="preserve">Welcome to the %1 RPC console.
+Use up and down arrows to navigate history, and %2 to clear screen.
+Use %3 and %4 to increase or decrease the font size.
+Type %5 for an overview of available commands.
+For more information on using this console, type %6.
+
+%7WARNING: Scammers have been active, telling users to type commands here, stealing their wallet contents. Do not use this console without fully understanding the ramifications of a command.%8</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">891</context></context-group>
+ <note annotates="source" from="developer">RPC console welcome message. Placeholders %7 and %8 are style tags for the warning content, and they are not space separated from the rest of the text intentionally.</note>
+ </trans-unit>
+ <trans-unit id="_msg597">
+ <source xml:space="preserve">Executing…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1046</context></context-group>
+ <note annotates="source" from="developer">A console message indicating an entered command is currently being executed.</note>
+ </trans-unit>
+ <trans-unit id="_msg598">
+ <source xml:space="preserve">(peer: %1)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1164</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg599">
+ <source xml:space="preserve">via %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1166</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../rpcconsole.h" datatype="c" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="RPCConsole">
+ <trans-unit id="_msg600">
+ <source xml:space="preserve">Yes</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">138</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg601">
+ <source xml:space="preserve">No</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">138</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg602">
+ <source xml:space="preserve">To</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">138</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg603">
+ <source xml:space="preserve">From</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">138</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg604">
+ <source xml:space="preserve">Ban for</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">139</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg605">
+ <source xml:space="preserve">Never</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg606">
+ <source xml:space="preserve">Unknown</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">139</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/receivecoinsdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="ReceiveCoinsDialog">
+ <trans-unit id="_msg607">
+ <source xml:space="preserve">&amp;Amount:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">37</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg608">
+ <source xml:space="preserve">&amp;Label:</source>
+ <target xml:space="preserve" state="needs-review-translation">&amp;Label:</target>
+ <context-group purpose="location"><context context-type="linenumber">83</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg609">
+ <source xml:space="preserve">&amp;Message:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">53</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg610">
+ <source xml:space="preserve">An optional message to attach to the payment request, which will be displayed when the request is opened. Note: The message will not be sent with the payment over the Bitcoin network.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">50</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg611">
+ <source xml:space="preserve">An optional label to associate with the new receiving address.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">80</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg612">
+ <source xml:space="preserve">Use this form to request payments. All fields are &lt;b&gt;optional&lt;/b&gt;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">73</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg613">
+ <source xml:space="preserve">An optional amount to request. Leave this empty or zero to not request a specific amount.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">34</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">193</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg614">
+ <source xml:space="preserve">An optional label to associate with the new receiving address (used by you to identify an invoice). It is also attached to the payment request.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">66</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg615">
+ <source xml:space="preserve">An optional message that is attached to the payment request and may be displayed to the sender.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">96</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg616">
+ <source xml:space="preserve">&amp;Create new receiving address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">111</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg617">
+ <source xml:space="preserve">Clear all fields of the form.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">134</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg618">
+ <source xml:space="preserve">Clear</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">137</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg619">
+ <source xml:space="preserve">Requested payments history</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">273</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg620">
+ <source xml:space="preserve">Show the selected request (does the same as double clicking an entry)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">298</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg621">
+ <source xml:space="preserve">Show</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">301</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg622">
+ <source xml:space="preserve">Remove the selected entries from the list</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">318</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg623">
+ <source xml:space="preserve">Remove</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">321</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../receivecoinsdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="ReceiveCoinsDialog">
+ <trans-unit id="_msg624">
+ <source xml:space="preserve">Copy &amp;URI</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">47</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg625">
+ <source xml:space="preserve">&amp;Copy address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">48</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg626">
+ <source xml:space="preserve">Copy &amp;label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">49</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg627">
+ <source xml:space="preserve">Copy &amp;message</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">50</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg628">
+ <source xml:space="preserve">Copy &amp;amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">51</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg629">
+ <source xml:space="preserve">Could not unlock wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">176</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg630">
+ <source xml:space="preserve">Could not generate new %1 address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">181</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/receiverequestdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="ReceiveRequestDialog">
+ <trans-unit id="_msg631">
+ <source xml:space="preserve">Request payment to …</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg632">
+ <source xml:space="preserve">Address:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg633">
+ <source xml:space="preserve">Amount:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">119</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg634">
+ <source xml:space="preserve">Label:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">148</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg635">
+ <source xml:space="preserve">Message:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg636">
+ <source xml:space="preserve">Wallet:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">212</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg637">
+ <source xml:space="preserve">Copy &amp;URI</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">240</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg638">
+ <source xml:space="preserve">Copy &amp;Address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">250</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg639">
+ <source xml:space="preserve">&amp;Verify</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">260</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg640">
+ <source xml:space="preserve">Verify this address on e.g. a hardware wallet screen</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">263</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg641">
+ <source xml:space="preserve">&amp;Save Image…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">273</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg642">
+ <source xml:space="preserve">Payment information</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">39</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../receiverequestdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="ReceiveRequestDialog">
+ <trans-unit id="_msg643">
+ <source xml:space="preserve">Request payment to %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">49</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../recentrequeststablemodel.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="RecentRequestsTableModel">
+ <trans-unit id="_msg644">
+ <source xml:space="preserve">Date</source>
+ <target xml:space="preserve" state="needs-review-translation">Date</target>
+ <context-group purpose="location"><context context-type="linenumber">32</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg645">
+ <source xml:space="preserve">Label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">32</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg646">
+ <source xml:space="preserve">Message</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">32</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg647">
+ <source xml:space="preserve">(no label)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">73</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg648">
+ <source xml:space="preserve">(no message)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">82</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg649">
+ <source xml:space="preserve">(no amount requested)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg650">
+ <source xml:space="preserve">Requested</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">133</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/sendcoinsdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="SendCoinsDialog">
+ <trans-unit id="_msg651" approved="yes">
+ <source xml:space="preserve">Send Coins</source>
+ <target xml:space="preserve">Send Coins</target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ <context-group purpose="location"><context context-type="sourcefile">../sendcoinsdialog.cpp</context><context context-type="linenumber">749</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg652">
+ <source xml:space="preserve">Coin Control Features</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg653">
+ <source xml:space="preserve">automatically selected</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">120</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg654">
+ <source xml:space="preserve">Insufficient funds!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">139</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg655">
+ <source xml:space="preserve">Quantity:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">228</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg656">
+ <source xml:space="preserve">Bytes:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">263</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg657">
+ <source xml:space="preserve">Amount:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">311</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg658">
+ <source xml:space="preserve">Fee:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">391</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg659">
+ <source xml:space="preserve">After Fee:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">442</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg660">
+ <source xml:space="preserve">Change:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">474</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg661">
+ <source xml:space="preserve">If this is activated, but the change address is empty or invalid, change will be sent to a newly generated address.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">518</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg662">
+ <source xml:space="preserve">Custom change address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">521</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg663">
+ <source xml:space="preserve">Transaction Fee:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">727</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg664">
+ <source xml:space="preserve">Using the fallbackfee can result in sending a transaction that will take several hours or days (or never) to confirm. Consider choosing your fee manually or wait until you have validated the complete chain.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">765</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg665">
+ <source xml:space="preserve">Warning: Fee estimation is currently not possible.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">774</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg666">
+ <source xml:space="preserve">per kilobyte</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">856</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg667">
+ <source xml:space="preserve">Hide</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">803</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg668">
+ <source xml:space="preserve">Recommended:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">915</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg669">
+ <source xml:space="preserve">Custom:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">945</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg670" approved="yes">
+ <source xml:space="preserve">Send to multiple recipients at once</source>
+ <target xml:space="preserve">Send to multiple recipients at once</target>
+ <context-group purpose="location"><context context-type="linenumber">1160</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg671" approved="yes">
+ <source xml:space="preserve">Add &amp;Recipient</source>
+ <target xml:space="preserve">Add &amp;Recipient</target>
+ <context-group purpose="location"><context context-type="linenumber">1163</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg672">
+ <source xml:space="preserve">Clear all fields of the form.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1143</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg673">
+ <source xml:space="preserve">Inputs…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">110</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg674">
+ <source xml:space="preserve">Dust:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">343</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg675">
+ <source xml:space="preserve">Choose…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">741</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg676">
+ <source xml:space="preserve">Hide transaction fee settings</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">800</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg677">
+ <source xml:space="preserve">Specify a custom fee per kB (1,000 bytes) of the transaction&apos;s virtual size.
+
+Note: Since the fee is calculated on a per-byte basis, a fee rate of &quot;100 satoshis per kvB&quot; for a transaction size of 500 virtual bytes (half of 1 kvB) would ultimately yield a fee of only 50 satoshis.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">851</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg678">
+ <source xml:space="preserve">When there is less transaction volume than space in the blocks, miners as well as relaying nodes may enforce a minimum fee. Paying only this minimum fee is just fine, but be aware that this can result in a never confirming transaction once there is more demand for bitcoin transactions than the network can process.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">886</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg679">
+ <source xml:space="preserve">A too low fee might result in a never confirming transaction (read the tooltip)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">889</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg680">
+ <source xml:space="preserve">(Smart fee not initialized yet. This usually takes a few blocks…)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">994</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg681">
+ <source xml:space="preserve">Confirmation time target:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1020</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg682">
+ <source xml:space="preserve">Enable Replace-By-Fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1078</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg683">
+ <source xml:space="preserve">With Replace-By-Fee (BIP-125) you can increase a transaction&apos;s fee after it is sent. Without this, a higher fee may be recommended to compensate for increased transaction delay risk.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1081</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg684" approved="yes">
+ <source xml:space="preserve">Clear &amp;All</source>
+ <target xml:space="preserve">Clear &amp;All</target>
+ <context-group purpose="location"><context context-type="linenumber">1146</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg685" approved="yes">
+ <source xml:space="preserve">Balance:</source>
+ <target xml:space="preserve">Balance:</target>
+ <context-group purpose="location"><context context-type="linenumber">1201</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg686" approved="yes">
+ <source xml:space="preserve">Confirm the send action</source>
+ <target xml:space="preserve">Confirm the send action</target>
+ <context-group purpose="location"><context context-type="linenumber">1117</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg687" approved="yes">
+ <source xml:space="preserve">S&amp;end</source>
+ <target xml:space="preserve">S&amp;end</target>
+ <context-group purpose="location"><context context-type="linenumber">1120</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../sendcoinsdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="SendCoinsDialog">
+ <trans-unit id="_msg688">
+ <source xml:space="preserve">Copy quantity</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">96</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg689">
+ <source xml:space="preserve">Copy amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">97</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg690">
+ <source xml:space="preserve">Copy fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg691">
+ <source xml:space="preserve">Copy after fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">99</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg692">
+ <source xml:space="preserve">Copy bytes</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">100</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg693">
+ <source xml:space="preserve">Copy dust</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">101</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg694">
+ <source xml:space="preserve">Copy change</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">102</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg695">
+ <source xml:space="preserve">%1 (%2 blocks)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">178</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg696">
+ <source xml:space="preserve">Sign on device</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">208</context></context-group>
+ <note annotates="source" from="developer">&quot;device&quot; usually means a hardware wallet.</note>
+ </trans-unit>
+ <trans-unit id="_msg697">
+ <source xml:space="preserve">Connect your hardware wallet first.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">211</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg698">
+ <source xml:space="preserve">Set external signer script path in Options -&gt; Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">215</context></context-group>
+ <note annotates="source" from="developer">&quot;External signer&quot; means using devices such as hardware wallets.</note>
+ </trans-unit>
+ <trans-unit id="_msg699">
+ <source xml:space="preserve">Cr&amp;eate Unsigned</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">218</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg700">
+ <source xml:space="preserve">Creates a Partially Signed Bitcoin Transaction (PSBT) for use with e.g. an offline %1 wallet, or a PSBT-compatible hardware wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">219</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg701">
+ <source xml:space="preserve"> from wallet &apos;%1&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">309</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg702">
+ <source xml:space="preserve">%1 to &apos;%2&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">320</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg703">
+ <source xml:space="preserve">%1 to %2</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">325</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg704">
+ <source xml:space="preserve">To review recipient list click &quot;Show Details…&quot;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">392</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg705">
+ <source xml:space="preserve">Sign failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">436</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg706">
+ <source xml:space="preserve">External signer not found</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">442</context></context-group>
+ <note annotates="source" from="developer">&quot;External signer&quot; means using devices such as hardware wallets.</note>
+ </trans-unit>
+ <trans-unit id="_msg707">
+ <source xml:space="preserve">External signer failure</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">448</context></context-group>
+ <note annotates="source" from="developer">&quot;External signer&quot; means using devices such as hardware wallets.</note>
+ </trans-unit>
+ <trans-unit id="_msg708">
+ <source xml:space="preserve">Save Transaction Data</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">506</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg709">
+ <source xml:space="preserve">Partially Signed Transaction (Binary)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">508</context></context-group>
+ <note annotates="source" from="developer">Expanded name of the binary PSBT file format. See: BIP 174.</note>
+ </trans-unit>
+ <trans-unit id="_msg710">
+ <source xml:space="preserve">PSBT saved</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">515</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg711">
+ <source xml:space="preserve">External balance:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">691</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg712">
+ <source xml:space="preserve">or</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">388</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg713">
+ <source xml:space="preserve">You can increase the fee later (signals Replace-By-Fee, BIP-125).</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">369</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg714">
+ <source xml:space="preserve">Please, review your transaction proposal. This will produce a Partially Signed Bitcoin Transaction (PSBT) which you can save or copy and then sign with e.g. an offline %1 wallet, or a PSBT-compatible hardware wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">339</context></context-group>
+ <note annotates="source" from="developer">Text to inform a user attempting to create a transaction of their current options. At this stage, a user can only create a PSBT. This string is displayed when private keys are disabled and an external signer is not available.</note>
+ </trans-unit>
+ <trans-unit id="_msg715">
+ <source xml:space="preserve">Do you want to create this transaction?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">333</context></context-group>
+ <note annotates="source" from="developer">Message displayed when attempting to create a transaction. Cautionary text to prompt the user to verify that the displayed transaction details represent the transaction the user intends to create.</note>
+ </trans-unit>
+ <trans-unit id="_msg716">
+ <source xml:space="preserve">Please, review your transaction. You can create and send this transaction or create a Partially Signed Bitcoin Transaction (PSBT), which you can save or copy and then sign with, e.g., an offline %1 wallet, or a PSBT-compatible hardware wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">344</context></context-group>
+ <note annotates="source" from="developer">Text to inform a user attempting to create a transaction of their current options. At this stage, a user can send their transaction or create a PSBT. This string is displayed when both private keys and PSBT controls are enabled.</note>
+ </trans-unit>
+ <trans-unit id="_msg717">
+ <source xml:space="preserve">Please, review your transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">347</context></context-group>
+ <note annotates="source" from="developer">Text to prompt a user to review the details of the transaction they are attempting to send.</note>
+ </trans-unit>
+ <trans-unit id="_msg718">
+ <source xml:space="preserve">Transaction fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">355</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg719">
+ <source xml:space="preserve">Not signalling Replace-By-Fee, BIP-125.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">371</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg720">
+ <source xml:space="preserve">Total Amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">385</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg721">
+ <source xml:space="preserve">Confirm send coins</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">410</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg722">
+ <source xml:space="preserve">Watch-only balance:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">694</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg723">
+ <source xml:space="preserve">The recipient address is not valid. Please recheck.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">718</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg724">
+ <source xml:space="preserve">The amount to pay must be larger than 0.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">721</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg725">
+ <source xml:space="preserve">The amount exceeds your balance.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">724</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg726">
+ <source xml:space="preserve">The total exceeds your balance when the %1 transaction fee is included.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">727</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg727">
+ <source xml:space="preserve">Duplicate address found: addresses should only be used once each.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">730</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg728">
+ <source xml:space="preserve">Transaction creation failed!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">733</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg729">
+ <source xml:space="preserve">A fee higher than %1 is considered an absurdly high fee.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">737</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg730">
+ <source xml:space="preserve">Payment request expired.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">740</context></context-group>
+ </trans-unit>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">864</context></context-group>
+ <trans-unit id="_msg731[0]" approved="yes">
+ <source xml:space="preserve">Estimated to begin confirmation within %n block(s).</source>
+ <target xml:space="preserve">Estimated to begin confirmation within %n block.</target>
+ </trans-unit>
+ <trans-unit id="_msg731[1]" approved="yes">
+ <source xml:space="preserve">Estimated to begin confirmation within %n block(s).</source>
+ <target xml:space="preserve">Estimated to begin confirmation within %n blocks.</target>
+ </trans-unit>
+ </group>
+ <trans-unit id="_msg732">
+ <source xml:space="preserve">Warning: Invalid Bitcoin address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">965</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg733">
+ <source xml:space="preserve">Warning: Unknown change address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">970</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg734">
+ <source xml:space="preserve">Confirm custom change address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">973</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg735">
+ <source xml:space="preserve">The address you selected for change is not part of this wallet. Any or all funds in your wallet may be sent to this address. Are you sure?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">973</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg736">
+ <source xml:space="preserve">(no label)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">994</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/sendcoinsentry.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="SendCoinsEntry">
+ <trans-unit id="_msg737" approved="yes">
+ <source xml:space="preserve">A&amp;mount:</source>
+ <target xml:space="preserve">A&amp;mount:</target>
+ <context-group purpose="location"><context context-type="linenumber">155</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">705</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1238</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg738" approved="yes">
+ <source xml:space="preserve">Pay &amp;To:</source>
+ <target xml:space="preserve">Pay &amp;To:</target>
+ <context-group purpose="location"><context context-type="linenumber">39</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg739" approved="yes">
+ <source xml:space="preserve">&amp;Label:</source>
+ <target xml:space="preserve">&amp;Label:</target>
+ <context-group purpose="location"><context context-type="linenumber">132</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg740">
+ <source xml:space="preserve">Choose previously used address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">64</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg741">
+ <source xml:space="preserve">The Bitcoin address to send the payment to</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">57</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg742" approved="yes">
+ <source xml:space="preserve">Alt+A</source>
+ <target xml:space="preserve">Alt+A</target>
+ <context-group purpose="location"><context context-type="linenumber">80</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg743" approved="yes">
+ <source xml:space="preserve">Paste address from clipboard</source>
+ <target xml:space="preserve">Paste address from clipboard</target>
+ <context-group purpose="location"><context context-type="linenumber">87</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg744" approved="yes">
+ <source xml:space="preserve">Alt+P</source>
+ <target xml:space="preserve">Alt+P</target>
+ <context-group purpose="location"><context context-type="linenumber">103</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg745">
+ <source xml:space="preserve">Remove this entry</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">110</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">672</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1205</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg746">
+ <source xml:space="preserve">The amount to send in the selected unit</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">170</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg747">
+ <source xml:space="preserve">The fee will be deducted from the amount being sent. The recipient will receive less bitcoins than you enter in the amount field. If multiple recipients are selected, the fee is split equally.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">177</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg748">
+ <source xml:space="preserve">S&amp;ubtract fee from amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg749">
+ <source xml:space="preserve">Use available balance</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">187</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg750">
+ <source xml:space="preserve">Message:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">196</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg751">
+ <source xml:space="preserve">This is an unauthenticated payment request.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">639</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg752">
+ <source xml:space="preserve">This is an authenticated payment request.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">1168</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg753">
+ <source xml:space="preserve">Enter a label for this address to add it to the list of used addresses</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">145</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">148</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg754">
+ <source xml:space="preserve">A message that was attached to the bitcoin: URI which will be stored with the transaction for your reference. Note: This message will not be sent over the Bitcoin network.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">206</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg755">
+ <source xml:space="preserve">Pay To:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">654</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1183</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg756">
+ <source xml:space="preserve">Memo:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">688</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">1221</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../sendcoinsdialog.h" datatype="c" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="SendConfirmationDialog">
+ <trans-unit id="_msg757">
+ <source xml:space="preserve">Send</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">131</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg758">
+ <source xml:space="preserve">Create Unsigned</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">133</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/signverifymessagedialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="SignVerifyMessageDialog">
+ <trans-unit id="_msg759" approved="yes">
+ <source xml:space="preserve">Signatures - Sign / Verify a Message</source>
+ <target xml:space="preserve">Signatures - Sign / Verify a Message</target>
+ <context-group purpose="location"><context context-type="linenumber">14</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg760" approved="yes">
+ <source xml:space="preserve">&amp;Sign Message</source>
+ <target xml:space="preserve">&amp;Sign Message</target>
+ <context-group purpose="location"><context context-type="linenumber">27</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg761">
+ <source xml:space="preserve">You can sign messages/agreements with your addresses to prove you can receive bitcoins sent to them. Be careful not to sign anything vague or random, as phishing attacks may try to trick you into signing your identity over to them. Only sign fully-detailed statements you agree to.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">33</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg762">
+ <source xml:space="preserve">The Bitcoin address to sign the message with</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">51</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg763">
+ <source xml:space="preserve">Choose previously used address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">58</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">274</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg764" approved="yes">
+ <source xml:space="preserve">Alt+A</source>
+ <target xml:space="preserve">Alt+A</target>
+ <context-group purpose="location"><context context-type="linenumber">68</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">284</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg765" approved="yes">
+ <source xml:space="preserve">Paste address from clipboard</source>
+ <target xml:space="preserve">Paste address from clipboard</target>
+ <context-group purpose="location"><context context-type="linenumber">78</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg766" approved="yes">
+ <source xml:space="preserve">Alt+P</source>
+ <target xml:space="preserve">Alt+P</target>
+ <context-group purpose="location"><context context-type="linenumber">88</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg767" approved="yes">
+ <source xml:space="preserve">Enter the message you want to sign here</source>
+ <target xml:space="preserve">Enter the message you want to sign here</target>
+ <context-group purpose="location"><context context-type="linenumber">100</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">103</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg768" approved="yes">
+ <source xml:space="preserve">Signature</source>
+ <target xml:space="preserve">Signature</target>
+ <context-group purpose="location"><context context-type="linenumber">110</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg769" approved="yes">
+ <source xml:space="preserve">Copy the current signature to the system clipboard</source>
+ <target xml:space="preserve">Copy the current signature to the system clipboard</target>
+ <context-group purpose="location"><context context-type="linenumber">140</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg770" approved="yes">
+ <source xml:space="preserve">Sign the message to prove you own this Bitcoin address</source>
+ <target xml:space="preserve">Sign the message to prove you own this Bitcoin address</target>
+ <context-group purpose="location"><context context-type="linenumber">161</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg771" approved="yes">
+ <source xml:space="preserve">Sign &amp;Message</source>
+ <target xml:space="preserve">Sign &amp;Message</target>
+ <context-group purpose="location"><context context-type="linenumber">164</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg772" approved="yes">
+ <source xml:space="preserve">Reset all sign message fields</source>
+ <target xml:space="preserve">Reset all sign message fields</target>
+ <context-group purpose="location"><context context-type="linenumber">178</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg773" approved="yes">
+ <source xml:space="preserve">Clear &amp;All</source>
+ <target xml:space="preserve">Clear &amp;All</target>
+ <context-group purpose="location"><context context-type="linenumber">181</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">338</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg774" approved="yes">
+ <source xml:space="preserve">&amp;Verify Message</source>
+ <target xml:space="preserve">&amp;Verify Message</target>
+ <context-group purpose="location"><context context-type="linenumber">240</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg775">
+ <source xml:space="preserve">Enter the receiver&apos;s address, message (ensure you copy line breaks, spaces, tabs, etc. exactly) and signature below to verify the message. Be careful not to read more into the signature than what is in the signed message itself, to avoid being tricked by a man-in-the-middle attack. Note that this only proves the signing party receives with the address, it cannot prove sendership of any transaction!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">246</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg776">
+ <source xml:space="preserve">The Bitcoin address the message was signed with</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">267</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg777">
+ <source xml:space="preserve">The signed message to verify</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">296</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">299</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg778">
+ <source xml:space="preserve">The signature given when the message was signed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">306</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">309</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg779" approved="yes">
+ <source xml:space="preserve">Verify the message to ensure it was signed with the specified Bitcoin address</source>
+ <target xml:space="preserve">Verify the message to ensure it was signed with the specified Bitcoin address</target>
+ <context-group purpose="location"><context context-type="linenumber">318</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg780" approved="yes">
+ <source xml:space="preserve">Verify &amp;Message</source>
+ <target xml:space="preserve">Verify &amp;Message</target>
+ <context-group purpose="location"><context context-type="linenumber">321</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg781" approved="yes">
+ <source xml:space="preserve">Reset all verify message fields</source>
+ <target xml:space="preserve">Reset all verify message fields</target>
+ <context-group purpose="location"><context context-type="linenumber">335</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg782">
+ <source xml:space="preserve">Click &quot;Sign Message&quot; to generate signature</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">125</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../signverifymessagedialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="SignVerifyMessageDialog">
+ <trans-unit id="_msg783">
+ <source xml:space="preserve">The entered address is invalid.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">120</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">219</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg784">
+ <source xml:space="preserve">Please check the address and try again.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">120</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">127</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">220</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">227</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg785">
+ <source xml:space="preserve">The entered address does not refer to a key.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">127</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">226</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg786">
+ <source xml:space="preserve">Wallet unlock was cancelled.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">135</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg787">
+ <source xml:space="preserve">No error</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">146</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg788">
+ <source xml:space="preserve">Private key for the entered address is not available.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">149</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg789">
+ <source xml:space="preserve">Message signing failed.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">152</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg790">
+ <source xml:space="preserve">Message signed.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">164</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg791">
+ <source xml:space="preserve">The signature could not be decoded.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">233</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg792">
+ <source xml:space="preserve">Please check the signature and try again.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">234</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">241</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg793">
+ <source xml:space="preserve">The signature did not match the message digest.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">240</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg794">
+ <source xml:space="preserve">Message verification failed.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">246</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg795">
+ <source xml:space="preserve">Message verified.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">214</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../splashscreen.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="SplashScreen">
+ <trans-unit id="_msg796">
+ <source xml:space="preserve">(press q to shutdown and continue later)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">187</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg797">
+ <source xml:space="preserve">press q to shutdown</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">188</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../trafficgraphwidget.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="TrafficGraphWidget">
+ <trans-unit id="_msg798">
+ <source xml:space="preserve">kB/s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">82</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../transactiondesc.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="TransactionDesc">
+ <trans-unit id="_msg799">
+ <source xml:space="preserve">conflicted with a transaction with %1 confirmations</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">40</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg800">
+ <source xml:space="preserve">0/unconfirmed, %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">43</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg801">
+ <source xml:space="preserve">in memory pool</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">43</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg802">
+ <source xml:space="preserve">not in memory pool</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">43</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg803">
+ <source xml:space="preserve">abandoned</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">42</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg804">
+ <source xml:space="preserve">%1/unconfirmed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">45</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg805">
+ <source xml:space="preserve">%1 confirmations</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">47</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg806">
+ <source xml:space="preserve">Status</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg807">
+ <source xml:space="preserve">Date</source>
+ <target xml:space="preserve" state="needs-review-translation">Date</target>
+ <context-group purpose="location"><context context-type="linenumber">101</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg808">
+ <source xml:space="preserve">Source</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">108</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg809">
+ <source xml:space="preserve">Generated</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">108</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg810">
+ <source xml:space="preserve">From</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">113</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">127</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">199</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg811">
+ <source xml:space="preserve">unknown</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">127</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg812">
+ <source xml:space="preserve">To</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">128</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">148</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">218</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg813">
+ <source xml:space="preserve">own address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">130</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg814">
+ <source xml:space="preserve">watch-only</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">130</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">199</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg815">
+ <source xml:space="preserve">label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">132</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg816">
+ <source xml:space="preserve">Credit</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">168</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">234</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">264</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">324</context></context-group>
+ </trans-unit>
+ <group restype="x-gettext-plurals">
+ <context-group purpose="location"><context context-type="linenumber">170</context></context-group>
+ <trans-unit id="_msg817[0]" approved="yes">
+ <source xml:space="preserve">matures in %n more block(s)</source>
+ <target xml:space="preserve">matures in %n more block</target>
+ </trans-unit>
+ <trans-unit id="_msg817[1]" approved="yes">
+ <source xml:space="preserve">matures in %n more block(s)</source>
+ <target xml:space="preserve">matures in %n more blocks</target>
+ </trans-unit>
+ </group>
+ <trans-unit id="_msg818">
+ <source xml:space="preserve">not accepted</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">172</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg819">
+ <source xml:space="preserve">Debit</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">232</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">258</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">321</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg820">
+ <source xml:space="preserve">Total debit</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">242</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg821">
+ <source xml:space="preserve">Total credit</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">243</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg822">
+ <source xml:space="preserve">Transaction fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">248</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg823">
+ <source xml:space="preserve">Net amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">270</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg824">
+ <source xml:space="preserve">Message</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">276</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">288</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg825">
+ <source xml:space="preserve">Comment</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">278</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg826">
+ <source xml:space="preserve">Transaction ID</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">280</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg827">
+ <source xml:space="preserve">Transaction total size</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">281</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg828">
+ <source xml:space="preserve">Transaction virtual size</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">282</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg829">
+ <source xml:space="preserve">Output index</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">283</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg830">
+ <source xml:space="preserve"> (Certificate was not verified)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">299</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg831">
+ <source xml:space="preserve">Merchant</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">302</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg832">
+ <source xml:space="preserve">Generated coins must mature %1 blocks before they can be spent. When you generated this block, it was broadcast to the network to be added to the block chain. If it fails to get into the chain, its state will change to &quot;not accepted&quot; and it won&apos;t be spendable. This may occasionally happen if another node generates a block within a few seconds of yours.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">310</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg833">
+ <source xml:space="preserve">Debug information</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">318</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg834">
+ <source xml:space="preserve">Transaction</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">326</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg835">
+ <source xml:space="preserve">Inputs</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">329</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg836">
+ <source xml:space="preserve">Amount</source>
+ <target xml:space="preserve" state="needs-review-translation">Amount</target>
+ <context-group purpose="location"><context context-type="linenumber">350</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg837">
+ <source xml:space="preserve">true</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">351</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">352</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg838">
+ <source xml:space="preserve">false</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">351</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">352</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../forms/transactiondescdialog.ui" datatype="x-trolltech-designer-ui" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="TransactionDescDialog">
+ <trans-unit id="_msg839" approved="yes">
+ <source xml:space="preserve">This pane shows a detailed description of the transaction</source>
+ <target xml:space="preserve">This pane shows a detailed description of the transaction</target>
+ <context-group purpose="location"><context context-type="linenumber">20</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../transactiondescdialog.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="TransactionDescDialog">
+ <trans-unit id="_msg840">
+ <source xml:space="preserve">Details for %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">18</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../transactiontablemodel.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="TransactionTableModel">
+ <trans-unit id="_msg841">
+ <source xml:space="preserve">Date</source>
+ <target xml:space="preserve" state="needs-review-translation">Date</target>
+ <context-group purpose="location"><context context-type="linenumber">260</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg842">
+ <source xml:space="preserve">Type</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">260</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg843">
+ <source xml:space="preserve">Label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">260</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg844">
+ <source xml:space="preserve">Unconfirmed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">320</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg845">
+ <source xml:space="preserve">Abandoned</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">323</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg846">
+ <source xml:space="preserve">Confirming (%1 of %2 recommended confirmations)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">326</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg847">
+ <source xml:space="preserve">Confirmed (%1 confirmations)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">329</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg848">
+ <source xml:space="preserve">Conflicted</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">332</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg849">
+ <source xml:space="preserve">Immature (%1 confirmations, will be available after %2)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">335</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg850">
+ <source xml:space="preserve">Generated but not accepted</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">338</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg851">
+ <source xml:space="preserve">Received with</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">377</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg852">
+ <source xml:space="preserve">Received from</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">379</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg853">
+ <source xml:space="preserve">Sent to</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">382</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg854">
+ <source xml:space="preserve">Payment to yourself</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">384</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg855">
+ <source xml:space="preserve">Mined</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">386</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg856">
+ <source xml:space="preserve">watch-only</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">414</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg857">
+ <source xml:space="preserve">(n/a)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">430</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg858">
+ <source xml:space="preserve">(no label)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">637</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg859">
+ <source xml:space="preserve">Transaction status. Hover over this field to show number of confirmations.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">676</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg860">
+ <source xml:space="preserve">Date and time that the transaction was received.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">678</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg861">
+ <source xml:space="preserve">Type of transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">680</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg862">
+ <source xml:space="preserve">Whether or not a watch-only address is involved in this transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">682</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg863">
+ <source xml:space="preserve">User-defined intent/purpose of the transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">684</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg864">
+ <source xml:space="preserve">Amount removed from or added to balance.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">686</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../transactionview.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="TransactionView">
+ <trans-unit id="_msg865">
+ <source xml:space="preserve">All</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">73</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">89</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg866">
+ <source xml:space="preserve">Today</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">74</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg867">
+ <source xml:space="preserve">This week</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">75</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg868">
+ <source xml:space="preserve">This month</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">76</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg869">
+ <source xml:space="preserve">Last month</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">77</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg870">
+ <source xml:space="preserve">This year</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">78</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg871">
+ <source xml:space="preserve">Received with</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg872">
+ <source xml:space="preserve">Sent to</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">92</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg873">
+ <source xml:space="preserve">To yourself</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">94</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg874">
+ <source xml:space="preserve">Mined</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">95</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg875">
+ <source xml:space="preserve">Other</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">96</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg876">
+ <source xml:space="preserve">Enter address, transaction id, or label to search</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">101</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg877">
+ <source xml:space="preserve">Min amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">105</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg878">
+ <source xml:space="preserve">Range…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">79</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg879">
+ <source xml:space="preserve">&amp;Copy address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">169</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg880">
+ <source xml:space="preserve">Copy &amp;label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">170</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg881">
+ <source xml:space="preserve">Copy &amp;amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">171</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg882">
+ <source xml:space="preserve">Copy transaction &amp;ID</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">172</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg883">
+ <source xml:space="preserve">Copy &amp;raw transaction</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">173</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg884">
+ <source xml:space="preserve">Copy full transaction &amp;details</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">174</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg885">
+ <source xml:space="preserve">&amp;Show transaction details</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">175</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg886">
+ <source xml:space="preserve">Increase transaction &amp;fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">177</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg887">
+ <source xml:space="preserve">A&amp;bandon transaction</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg888">
+ <source xml:space="preserve">&amp;Edit address label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">181</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg889">
+ <source xml:space="preserve">Show in %1</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">240</context></context-group>
+ <note annotates="source" from="developer">Transactions table context menu action to show the selected transaction in a third-party block explorer. %1 is a stand-in argument for the URL of the explorer.</note>
+ </trans-unit>
+ <trans-unit id="_msg890">
+ <source xml:space="preserve">Export Transaction History</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">359</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg891">
+ <source xml:space="preserve">Comma separated file</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">362</context></context-group>
+ <note annotates="source" from="developer">Expanded name of the CSV file format. See: https://en.wikipedia.org/wiki/Comma-separated_values.</note>
+ </trans-unit>
+ <trans-unit id="_msg892">
+ <source xml:space="preserve">Confirmed</source>
+ <target xml:space="preserve" state="needs-review-translation">Confirmed</target>
+ <context-group purpose="location"><context context-type="linenumber">371</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg893">
+ <source xml:space="preserve">Watch-only</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">373</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg894">
+ <source xml:space="preserve">Date</source>
+ <target xml:space="preserve" state="needs-review-translation">Date</target>
+ <context-group purpose="location"><context context-type="linenumber">374</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg895">
+ <source xml:space="preserve">Type</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">375</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg896">
+ <source xml:space="preserve">Label</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">376</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg897">
+ <source xml:space="preserve">Address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">377</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg898">
+ <source xml:space="preserve">ID</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">379</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg899">
+ <source xml:space="preserve">Exporting Failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">382</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg900">
+ <source xml:space="preserve">There was an error trying to save the transaction history to %1.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">382</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg901">
+ <source xml:space="preserve">Exporting Successful</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">386</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg902">
+ <source xml:space="preserve">The transaction history was successfully saved to %1.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">386</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg903">
+ <source xml:space="preserve">Range:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">558</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg904">
+ <source xml:space="preserve">to</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">566</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../walletframe.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="WalletFrame">
+ <trans-unit id="_msg905">
+ <source xml:space="preserve">No wallet has been loaded.
+Go to File &gt; Open Wallet to load a wallet.
+- OR -</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">42</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg906">
+ <source xml:space="preserve">Create a new wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">47</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg907">
+ <source xml:space="preserve">Error</source>
+ <target xml:space="preserve" state="needs-review-translation">Error</target>
+ <context-group purpose="location"><context context-type="linenumber">201</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">210</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">220</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg908">
+ <source xml:space="preserve">Unable to decode PSBT from clipboard (invalid base64)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">201</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg909">
+ <source xml:space="preserve">Load Transaction Data</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">206</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg910">
+ <source xml:space="preserve">Partially Signed Transaction (*.psbt)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">207</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg911">
+ <source xml:space="preserve">PSBT file must be smaller than 100 MiB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">210</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg912">
+ <source xml:space="preserve">Unable to decode PSBT</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">220</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../walletmodel.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="WalletModel">
+ <trans-unit id="_msg913">
+ <source xml:space="preserve">Send Coins</source>
+ <target xml:space="preserve" state="needs-review-translation">Send Coins</target>
+ <context-group purpose="location"><context context-type="linenumber">221</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg914">
+ <source xml:space="preserve">Fee bump error</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">481</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">533</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">548</context></context-group>
+ <context-group purpose="location"><context context-type="linenumber">553</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg915">
+ <source xml:space="preserve">Increasing transaction fee failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">481</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg916">
+ <source xml:space="preserve">Do you want to increase the fee?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">488</context></context-group>
+ <note annotates="source" from="developer">Asks a user if they would like to manually increase the fee of a transaction that has already been created.</note>
+ </trans-unit>
+ <trans-unit id="_msg917">
+ <source xml:space="preserve">Current fee:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">492</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg918">
+ <source xml:space="preserve">Increase:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">496</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg919">
+ <source xml:space="preserve">New fee:</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">500</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg920">
+ <source xml:space="preserve">Warning: This may pay the additional fee by reducing change outputs or adding inputs, when necessary. It may add a new change output if one does not already exist. These changes may potentially leak privacy.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">508</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg921">
+ <source xml:space="preserve">Confirm fee bump</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">511</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg922">
+ <source xml:space="preserve">Can&apos;t draft transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">533</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg923">
+ <source xml:space="preserve">PSBT copied</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">540</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg924">
+ <source xml:space="preserve">Can&apos;t sign transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">548</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg925">
+ <source xml:space="preserve">Could not commit transaction</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">553</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg926">
+ <source xml:space="preserve">Can&apos;t display address</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">567</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg927">
+ <source xml:space="preserve">default wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">585</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../walletview.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="WalletView">
+ <trans-unit id="_msg928">
+ <source xml:space="preserve">&amp;Export</source>
+ <target xml:space="preserve" state="needs-review-translation">&amp;Export</target>
+ <context-group purpose="location"><context context-type="linenumber">52</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg929">
+ <source xml:space="preserve">Export the data in the current tab to a file</source>
+ <target xml:space="preserve" state="needs-review-translation">Export the data in the current tab to a file</target>
+ <context-group purpose="location"><context context-type="linenumber">53</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg930">
+ <source xml:space="preserve">Backup Wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">217</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg931">
+ <source xml:space="preserve">Wallet Data</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">219</context></context-group>
+ <note annotates="source" from="developer">Name of the wallet data file format.</note>
+ </trans-unit>
+ <trans-unit id="_msg932">
+ <source xml:space="preserve">Backup Failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">225</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg933">
+ <source xml:space="preserve">There was an error trying to save the wallet data to %1.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">225</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg934">
+ <source xml:space="preserve">Backup Successful</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">229</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg935">
+ <source xml:space="preserve">The wallet data was successfully saved to %1.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">229</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg936">
+ <source xml:space="preserve">Cancel</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">264</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+ <file original="../bitcoinstrings.cpp" datatype="cpp" source-language="en" target-language="en"><body>
+ <group restype="x-trolltech-linguist-context" resname="bitcoin-core">
+ <trans-unit id="_msg937">
+ <source xml:space="preserve">The %s developers</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">12</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg938">
+ <source xml:space="preserve">%s corrupt. Try using the wallet tool bitcoin-wallet to salvage or restoring a backup.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">13</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg939">
+ <source xml:space="preserve">-maxtxfee is set very high! Fees this large could be paid on a single transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">16</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg940">
+ <source xml:space="preserve">Cannot downgrade wallet from version %i to version %i. Wallet version unchanged.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">19</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg941">
+ <source xml:space="preserve">Cannot obtain a lock on data directory %s. %s is probably already running.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">22</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg942">
+ <source xml:space="preserve">Cannot provide specific connections and have addrman find outgoing connections at the same.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">24</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg943">
+ <source xml:space="preserve">Cannot upgrade a non HD split wallet from version %i to version %i without upgrading to support pre-split keypool. Please use version %i or no version specified.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">27</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg944">
+ <source xml:space="preserve">Distributed under the MIT software license, see the accompanying file %s or %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">31</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg945">
+ <source xml:space="preserve">Error reading %s! All keys read correctly, but transaction data or address book entries might be missing or incorrect.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">34</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg946">
+ <source xml:space="preserve">Error reading %s! Transaction data may be missing or incorrect. Rescanning wallet.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">37</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg947">
+ <source xml:space="preserve">Error: Dumpfile format record is incorrect. Got &quot;%s&quot;, expected &quot;format&quot;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">40</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg948">
+ <source xml:space="preserve">Error: Dumpfile identifier record is incorrect. Got &quot;%s&quot;, expected &quot;%s&quot;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">42</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg949">
+ <source xml:space="preserve">Error: Dumpfile version is not supported. This version of bitcoin-wallet only supports version 1 dumpfiles. Got dumpfile with version %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">44</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg950">
+ <source xml:space="preserve">Error: Legacy wallets only support the &quot;legacy&quot;, &quot;p2sh-segwit&quot;, and &quot;bech32&quot; address types</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">47</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg951">
+ <source xml:space="preserve">Error: Listening for incoming connections failed (listen returned error %s)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">50</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg952">
+ <source xml:space="preserve">Fee estimation failed. Fallbackfee is disabled. Wait a few blocks or enable -fallbackfee.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">52</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg953">
+ <source xml:space="preserve">File %s already exists. If you are sure this is what you want, move it out of the way first.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">55</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg954">
+ <source xml:space="preserve">Invalid amount for -maxtxfee=&lt;amount&gt;: &apos;%s&apos; (must be at least the minrelay fee of %s to prevent stuck transactions)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">58</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg955">
+ <source xml:space="preserve">Invalid or corrupt peers.dat (%s). If you believe this is a bug, please report it to %s. As a workaround, you can move the file (%s) out of the way (rename, move, or delete) to have a new one created on the next start.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">61</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg956">
+ <source xml:space="preserve">More than one onion bind address is provided. Using %s for the automatically created Tor onion service.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">65</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg957">
+ <source xml:space="preserve">No dump file provided. To use createfromdump, -dumpfile=&lt;filename&gt; must be provided.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">68</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg958">
+ <source xml:space="preserve">No dump file provided. To use dump, -dumpfile=&lt;filename&gt; must be provided.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">71</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg959">
+ <source xml:space="preserve">No wallet file format provided. To use createfromdump, -format=&lt;format&gt; must be provided.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">73</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg960">
+ <source xml:space="preserve">Please check that your computer&apos;s date and time are correct! If your clock is wrong, %s will not work properly.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">76</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg961">
+ <source xml:space="preserve">Please contribute if you find %s useful. Visit %s for further information about the software.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">79</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg962">
+ <source xml:space="preserve">Prune configured below the minimum of %d MiB. Please use a higher number.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">82</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg963">
+ <source xml:space="preserve">Prune: last wallet synchronisation goes beyond pruned data. You need to -reindex (download the whole blockchain again in case of pruned node)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">84</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg964">
+ <source xml:space="preserve">SQLiteDatabase: Unknown sqlite wallet schema version %d. Only version %d is supported</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">87</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg965">
+ <source xml:space="preserve">The -txindex upgrade started by a previous version can not be completed. Restart with the previous version or run a full -reindex.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">90</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg966">
+ <source xml:space="preserve">The block database contains a block which appears to be from the future. This may be due to your computer&apos;s date and time being set incorrectly. Only rebuild the block database if you are sure that your computer&apos;s date and time are correct</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">93</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg967">
+ <source xml:space="preserve">The block index db contains a legacy &apos;txindex&apos;. To clear the occupied disk space, run a full -reindex, otherwise ignore this error. This error message will not be displayed again.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">98</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg968">
+ <source xml:space="preserve">The transaction amount is too small to send after the fee has been deducted</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">102</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg969">
+ <source xml:space="preserve">This error could occur if this wallet was not shutdown cleanly and was last loaded using a build with a newer version of Berkeley DB. If so, please use the software that last loaded this wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">104</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg970">
+ <source xml:space="preserve">This is a pre-release test build - use at your own risk - do not use for mining or merchant applications</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">108</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg971">
+ <source xml:space="preserve">This is the maximum transaction fee you pay (in addition to the normal fee) to prioritize partial spend avoidance over regular coin selection.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">111</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg972">
+ <source xml:space="preserve">This is the transaction fee you may discard if change is smaller than dust at this level</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">114</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg973">
+ <source xml:space="preserve">This is the transaction fee you may pay when fee estimates are not available.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">117</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg974">
+ <source xml:space="preserve">Total length of network version string (%i) exceeds maximum length (%i). Reduce the number or size of uacomments.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">119</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg975">
+ <source xml:space="preserve">Unable to replay blocks. You will need to rebuild the database using -reindex-chainstate.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">122</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg976">
+ <source xml:space="preserve">Unknown wallet file format &quot;%s&quot; provided. Please provide one of &quot;bdb&quot; or &quot;sqlite&quot;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">125</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg977">
+ <source xml:space="preserve">Warning: Dumpfile wallet format &quot;%s&quot; does not match command line specified format &quot;%s&quot;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">128</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg978">
+ <source xml:space="preserve">Warning: Private keys detected in wallet {%s} with disabled private keys</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">131</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg979">
+ <source xml:space="preserve">Warning: We do not appear to fully agree with our peers! You may need to upgrade, or other nodes may need to upgrade.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">133</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg980">
+ <source xml:space="preserve">Witness data for blocks after height %d requires validation. Please restart with -reindex.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">136</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg981">
+ <source xml:space="preserve">You need to rebuild the database using -reindex to go back to unpruned mode. This will redownload the entire blockchain</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">139</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg982">
+ <source xml:space="preserve">%s is set very high!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">142</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg983">
+ <source xml:space="preserve">-maxmempool must be at least %d MB</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">143</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg984">
+ <source xml:space="preserve">A fatal internal error occurred, see debug.log for details</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">144</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg985">
+ <source xml:space="preserve">Cannot resolve -%s address: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">145</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg986">
+ <source xml:space="preserve">Cannot set -forcednsseed to true when setting -dnsseed to false.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">146</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg987">
+ <source xml:space="preserve">Cannot set -peerblockfilters without -blockfilterindex.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">147</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg988">
+ <source xml:space="preserve">Cannot write to data directory &apos;%s&apos;; check permissions.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">148</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg989">
+ <source xml:space="preserve">Change index out of range</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">149</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg990">
+ <source xml:space="preserve">Config setting for %s only applied on %s network when in [%s] section.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">150</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg991">
+ <source xml:space="preserve">Copyright (C) %i-%i</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">151</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg992">
+ <source xml:space="preserve">Corrupted block database detected</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">152</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg993">
+ <source xml:space="preserve">Could not find asmap file %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">153</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg994">
+ <source xml:space="preserve">Could not parse asmap file %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">154</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg995">
+ <source xml:space="preserve">Disk space is too low!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">155</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg996">
+ <source xml:space="preserve">Do you want to rebuild the block database now?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">156</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg997">
+ <source xml:space="preserve">Done loading</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">157</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg998">
+ <source xml:space="preserve">Dump file %s does not exist.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">158</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg999">
+ <source xml:space="preserve">Error creating %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">159</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1000">
+ <source xml:space="preserve">Error initializing block database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">160</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1001">
+ <source xml:space="preserve">Error initializing wallet database environment %s!</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">161</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1002">
+ <source xml:space="preserve">Error loading %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">162</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1003">
+ <source xml:space="preserve">Error loading %s: Private keys can only be disabled during creation</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">163</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1004">
+ <source xml:space="preserve">Error loading %s: Wallet corrupted</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">164</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1005">
+ <source xml:space="preserve">Error loading %s: Wallet requires newer version of %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">165</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1006">
+ <source xml:space="preserve">Error loading block database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">166</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1007">
+ <source xml:space="preserve">Error opening block database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">167</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1008">
+ <source xml:space="preserve">Error reading from database, shutting down.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">168</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1009">
+ <source xml:space="preserve">Error reading next record from wallet database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">169</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1010">
+ <source xml:space="preserve">Error upgrading chainstate database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">170</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1011">
+ <source xml:space="preserve">Error: Couldn&apos;t create cursor into database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">171</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1012">
+ <source xml:space="preserve">Error: Disk space is low for %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">172</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1013">
+ <source xml:space="preserve">Error: Dumpfile checksum does not match. Computed %s, expected %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">173</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1014">
+ <source xml:space="preserve">Error: Got key that was not hex: %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">174</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1015">
+ <source xml:space="preserve">Error: Got value that was not hex: %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">175</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1016">
+ <source xml:space="preserve">Error: Keypool ran out, please call keypoolrefill first</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">176</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1017">
+ <source xml:space="preserve">Error: Missing checksum</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">177</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1018">
+ <source xml:space="preserve">Error: No %s addresses available.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">178</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1019">
+ <source xml:space="preserve">Error: Unable to parse version %u as a uint32_t</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">179</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1020">
+ <source xml:space="preserve">Error: Unable to write record to new wallet</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">180</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1021">
+ <source xml:space="preserve">Failed to listen on any port. Use -listen=0 if you want this.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">181</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1022">
+ <source xml:space="preserve">Failed to rescan the wallet during initialization</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">182</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1023">
+ <source xml:space="preserve">Failed to verify database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">183</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1024">
+ <source xml:space="preserve">Fee rate (%s) is lower than the minimum fee rate setting (%s)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">184</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1025">
+ <source xml:space="preserve">Ignoring duplicate -wallet %s.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">185</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1026">
+ <source xml:space="preserve">Importing…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">186</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1027">
+ <source xml:space="preserve">Incorrect or no genesis block found. Wrong datadir for network?</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">187</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1028">
+ <source xml:space="preserve">Initialization sanity check failed. %s is shutting down.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">188</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1029">
+ <source xml:space="preserve">Input not found or already spent</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">189</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1030">
+ <source xml:space="preserve">Insufficient funds</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">190</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1031">
+ <source xml:space="preserve">Invalid -i2psam address or hostname: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">191</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1032">
+ <source xml:space="preserve">Invalid -onion address or hostname: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">192</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1033">
+ <source xml:space="preserve">Invalid -proxy address or hostname: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">193</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1034">
+ <source xml:space="preserve">Invalid P2P permission: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">194</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1035">
+ <source xml:space="preserve">Invalid amount for -%s=&lt;amount&gt;: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">195</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1036">
+ <source xml:space="preserve">Invalid amount for -discardfee=&lt;amount&gt;: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">196</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1037">
+ <source xml:space="preserve">Invalid amount for -fallbackfee=&lt;amount&gt;: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">197</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1038">
+ <source xml:space="preserve">Invalid amount for -paytxfee=&lt;amount&gt;: &apos;%s&apos; (must be at least %s)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">198</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1039">
+ <source xml:space="preserve">Invalid netmask specified in -whitelist: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">199</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1040">
+ <source xml:space="preserve">Loading P2P addresses…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">200</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1041">
+ <source xml:space="preserve">Loading banlist…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">201</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1042">
+ <source xml:space="preserve">Loading block index…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">202</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1043">
+ <source xml:space="preserve">Loading wallet…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">203</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1044">
+ <source xml:space="preserve">Missing amount</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">204</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1045">
+ <source xml:space="preserve">Missing solving data for estimating transaction size</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">205</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1046">
+ <source xml:space="preserve">Need to specify a port with -whitebind: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">206</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1047">
+ <source xml:space="preserve">No addresses available</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">207</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1048">
+ <source xml:space="preserve">No proxy server specified. Use -proxy=&lt;ip&gt; or -proxy=&lt;ip:port&gt;.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">208</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1049">
+ <source xml:space="preserve">Not enough file descriptors available.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">209</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1050">
+ <source xml:space="preserve">Prune cannot be configured with a negative value.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">210</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1051">
+ <source xml:space="preserve">Prune mode is incompatible with -coinstatsindex.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">211</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1052">
+ <source xml:space="preserve">Prune mode is incompatible with -txindex.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">212</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1053">
+ <source xml:space="preserve">Pruning blockstore…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">213</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1054">
+ <source xml:space="preserve">Reducing -maxconnections from %d to %d, because of system limitations.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">214</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1055">
+ <source xml:space="preserve">Replaying blocks…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">215</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1056">
+ <source xml:space="preserve">Rescanning…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">216</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1057">
+ <source xml:space="preserve">SQLiteDatabase: Failed to execute statement to verify database: %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">217</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1058">
+ <source xml:space="preserve">SQLiteDatabase: Failed to prepare statement to verify database: %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">218</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1059">
+ <source xml:space="preserve">SQLiteDatabase: Failed to read database verification error: %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">219</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1060">
+ <source xml:space="preserve">SQLiteDatabase: Unexpected application id. Expected %u, got %u</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">220</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1061">
+ <source xml:space="preserve">Section [%s] is not recognized.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">221</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1062">
+ <source xml:space="preserve">Signing transaction failed</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">222</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1063">
+ <source xml:space="preserve">Specified -walletdir &quot;%s&quot; does not exist</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">223</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1064">
+ <source xml:space="preserve">Specified -walletdir &quot;%s&quot; is a relative path</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">224</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1065">
+ <source xml:space="preserve">Specified -walletdir &quot;%s&quot; is not a directory</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">225</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1066">
+ <source xml:space="preserve">Specified blocks directory &quot;%s&quot; does not exist.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">226</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1067">
+ <source xml:space="preserve">Starting network threads…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">227</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1068">
+ <source xml:space="preserve">The source code is available from %s.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">228</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1069">
+ <source xml:space="preserve">The specified config file %s does not exist</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">229</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1070">
+ <source xml:space="preserve">The transaction amount is too small to pay the fee</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">230</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1071">
+ <source xml:space="preserve">The wallet will avoid paying less than the minimum relay fee.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">231</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1072">
+ <source xml:space="preserve">This is experimental software.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">232</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1073">
+ <source xml:space="preserve">This is the minimum transaction fee you pay on every transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">233</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1074">
+ <source xml:space="preserve">This is the transaction fee you will pay if you send a transaction.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">234</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1075">
+ <source xml:space="preserve">Transaction amount too small</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">235</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1076">
+ <source xml:space="preserve">Transaction amounts must not be negative</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">236</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1077">
+ <source xml:space="preserve">Transaction has too long of a mempool chain</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">237</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1078">
+ <source xml:space="preserve">Transaction must have at least one recipient</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">238</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1079">
+ <source xml:space="preserve">Transaction needs a change address, but we can&apos;t generate it.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">239</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1080">
+ <source xml:space="preserve">Transaction too large</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">240</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1081">
+ <source xml:space="preserve">Unable to bind to %s on this computer (bind returned error %s)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">241</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1082">
+ <source xml:space="preserve">Unable to bind to %s on this computer. %s is probably already running.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">242</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1083">
+ <source xml:space="preserve">Unable to create the PID file &apos;%s&apos;: %s</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">243</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1084">
+ <source xml:space="preserve">Unable to generate initial keys</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">244</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1085">
+ <source xml:space="preserve">Unable to generate keys</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">245</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1086">
+ <source xml:space="preserve">Unable to open %s for writing</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">246</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1087">
+ <source xml:space="preserve">Unable to parse -maxuploadtarget: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">247</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1088">
+ <source xml:space="preserve">Unable to start HTTP server. See debug log for details.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">248</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1089">
+ <source xml:space="preserve">Unknown -blockfilterindex value %s.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">249</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1090">
+ <source xml:space="preserve">Unknown address type &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">250</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1091">
+ <source xml:space="preserve">Unknown change type &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">251</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1092">
+ <source xml:space="preserve">Unknown network specified in -onlynet: &apos;%s&apos;</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">252</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1093">
+ <source xml:space="preserve">Unknown new rules activated (versionbit %i)</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">253</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1094">
+ <source xml:space="preserve">Unsupported logging category %s=%s.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">254</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1095">
+ <source xml:space="preserve">Upgrading UTXO database</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">255</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1096">
+ <source xml:space="preserve">User Agent comment (%s) contains unsafe characters.</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">256</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1097">
+ <source xml:space="preserve">Verifying blocks…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">257</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1098">
+ <source xml:space="preserve">Verifying wallet(s)…</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">258</context></context-group>
+ </trans-unit>
+ <trans-unit id="_msg1099">
+ <source xml:space="preserve">Wallet needed to be rewritten: restart %s to complete</source>
+ <target xml:space="preserve"></target>
+ <context-group purpose="location"><context context-type="linenumber">259</context></context-group>
+ </trans-unit>
+ </group>
+ </body></file>
+</xliff>
diff --git a/src/qt/modaloverlay.cpp b/src/qt/modaloverlay.cpp
index 8070aa627c..97ee75a31f 100644
--- a/src/qt/modaloverlay.cpp
+++ b/src/qt/modaloverlay.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -108,7 +108,7 @@ void ModalOverlay::tipUpdate(int count, const QDateTime& blockDate, double nVeri
if (sample.first < (currentDate.toMSecsSinceEpoch() - 500 * 1000) || i == blockProcessTime.size() - 1) {
progressDelta = blockProcessTime[0].second - sample.second;
timeDelta = blockProcessTime[0].first - sample.first;
- progressPerHour = progressDelta / (double) timeDelta * 1000 * 3600;
+ progressPerHour = (progressDelta > 0) ? progressDelta / (double)timeDelta * 1000 * 3600 : 0;
remainingMSecs = (progressDelta > 0) ? remainingProgress / progressDelta * timeDelta : -1;
break;
}
@@ -134,7 +134,6 @@ void ModalOverlay::tipUpdate(int count, const QDateTime& blockDate, double nVeri
// show the percentage done according to nVerificationProgress
ui->percentageProgress->setText(QString::number(nVerificationProgress*100, 'f', 2)+"%");
- ui->progressBar->setValue(nVerificationProgress*100);
if (!bestHeaderDate.isValid())
// not syncing
@@ -150,13 +149,13 @@ void ModalOverlay::tipUpdate(int count, const QDateTime& blockDate, double nVeri
ui->numberOfBlocksLeft->setText(QString::number(bestHeaderHeight - count));
} else {
UpdateHeaderSyncLabel();
- ui->expectedTimeLeft->setText(tr("Unknown..."));
+ ui->expectedTimeLeft->setText(tr("Unknown…"));
}
}
void ModalOverlay::UpdateHeaderSyncLabel() {
int est_headers_left = bestHeaderDate.secsTo(QDateTime::currentDateTime()) / Params().GetConsensus().nPowTargetSpacing;
- ui->numberOfBlocksLeft->setText(tr("Unknown. Syncing Headers (%1, %2%)...").arg(bestHeaderHeight).arg(QString::number(100.0 / (bestHeaderHeight + est_headers_left) * bestHeaderHeight, 'f', 1)));
+ ui->numberOfBlocksLeft->setText(tr("Unknown. Syncing Headers (%1, %2%)…").arg(bestHeaderHeight).arg(QString::number(100.0 / (bestHeaderHeight + est_headers_left) * bestHeaderHeight, 'f', 1)));
}
void ModalOverlay::toggleVisibility()
diff --git a/src/qt/networkstyle.cpp b/src/qt/networkstyle.cpp
index ee70c1bc30..b2dc7fd65a 100644
--- a/src/qt/networkstyle.cpp
+++ b/src/qt/networkstyle.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2014-2019 The Bitcoin Core developers
+// Copyright (c) 2014-2020 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/qt/openuridialog.cpp b/src/qt/openuridialog.cpp
index 10bf82d532..fd22f21f9b 100644
--- a/src/qt/openuridialog.cpp
+++ b/src/qt/openuridialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,15 +6,20 @@
#include <qt/forms/ui_openuridialog.h>
#include <qt/guiutil.h>
+#include <qt/platformstyle.h>
#include <qt/sendcoinsrecipient.h>
+#include <QAbstractButton>
+#include <QLineEdit>
#include <QUrl>
-OpenURIDialog::OpenURIDialog(QWidget *parent) :
- QDialog(parent, GUIUtil::dialog_flags),
- ui(new Ui::OpenURIDialog)
+OpenURIDialog::OpenURIDialog(const PlatformStyle* platformStyle, QWidget* parent) : QDialog(parent, GUIUtil::dialog_flags),
+ ui(new Ui::OpenURIDialog),
+ m_platform_style(platformStyle)
{
ui->setupUi(this);
+ ui->pasteButton->setIcon(m_platform_style->SingleColorIcon(":/icons/editpaste"));
+ QObject::connect(ui->pasteButton, &QAbstractButton::clicked, ui->uriEdit, &QLineEdit::paste);
GUIUtil::handleCloseWindowShortcut(this);
}
@@ -32,11 +37,19 @@ QString OpenURIDialog::getURI()
void OpenURIDialog::accept()
{
SendCoinsRecipient rcp;
- if(GUIUtil::parseBitcoinURI(getURI(), &rcp))
- {
+ if (GUIUtil::parseBitcoinURI(getURI(), &rcp)) {
/* Only accept value URIs */
QDialog::accept();
} else {
ui->uriEdit->setValid(false);
}
}
+
+void OpenURIDialog::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ ui->pasteButton->setIcon(m_platform_style->SingleColorIcon(":/icons/editpaste"));
+ }
+
+ QDialog::changeEvent(e);
+}
diff --git a/src/qt/openuridialog.h b/src/qt/openuridialog.h
index efe4b86f37..2c8f7f8bab 100644
--- a/src/qt/openuridialog.h
+++ b/src/qt/openuridialog.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,6 +7,8 @@
#include <QDialog>
+class PlatformStyle;
+
namespace Ui {
class OpenURIDialog;
}
@@ -16,16 +18,19 @@ class OpenURIDialog : public QDialog
Q_OBJECT
public:
- explicit OpenURIDialog(QWidget *parent);
+ explicit OpenURIDialog(const PlatformStyle* platformStyle, QWidget* parent);
~OpenURIDialog();
QString getURI();
protected Q_SLOTS:
void accept() override;
+ void changeEvent(QEvent* e) override;
private:
- Ui::OpenURIDialog *ui;
+ Ui::OpenURIDialog* ui;
+
+ const PlatformStyle* m_platform_style;
};
#endif // BITCOIN_QT_OPENURIDIALOG_H
diff --git a/src/qt/optionsdialog.cpp b/src/qt/optionsdialog.cpp
index e6b9488344..c05571677c 100644
--- a/src/qt/optionsdialog.cpp
+++ b/src/qt/optionsdialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,6 +19,8 @@
#include <netbase.h>
#include <txdb.h> // for -dbcache defaults
+#include <chrono>
+
#include <QDataWidgetMapper>
#include <QDir>
#include <QIntValidator>
@@ -92,6 +94,11 @@ OptionsDialog::OptionsDialog(QWidget *parent, bool enableWallet) :
ui->thirdPartyTxUrls->setVisible(false);
}
+#ifndef ENABLE_EXTERNAL_SIGNER
+ //: "External signing" means using devices such as hardware wallets.
+ ui->externalSignerPath->setToolTip(tr("Compiled without external signing support (required for external signing)"));
+ ui->externalSignerPath->setEnabled(false);
+#endif
/* Display elements init */
QDir translations(":translations");
@@ -197,17 +204,19 @@ void OptionsDialog::setModel(OptionsModel *_model)
/* Main */
connect(ui->prune, &QCheckBox::clicked, this, &OptionsDialog::showRestartWarning);
connect(ui->prune, &QCheckBox::clicked, this, &OptionsDialog::togglePruneWarning);
- connect(ui->pruneSize, static_cast<void (QSpinBox::*)(int)>(&QSpinBox::valueChanged), this, &OptionsDialog::showRestartWarning);
- connect(ui->databaseCache, static_cast<void (QSpinBox::*)(int)>(&QSpinBox::valueChanged), this, &OptionsDialog::showRestartWarning);
- connect(ui->threadsScriptVerif, static_cast<void (QSpinBox::*)(int)>(&QSpinBox::valueChanged), this, &OptionsDialog::showRestartWarning);
+ connect(ui->pruneSize, qOverload<int>(&QSpinBox::valueChanged), this, &OptionsDialog::showRestartWarning);
+ connect(ui->databaseCache, qOverload<int>(&QSpinBox::valueChanged), this, &OptionsDialog::showRestartWarning);
+ connect(ui->externalSignerPath, &QLineEdit::textChanged, [this]{ showRestartWarning(); });
+ connect(ui->threadsScriptVerif, qOverload<int>(&QSpinBox::valueChanged), this, &OptionsDialog::showRestartWarning);
/* Wallet */
connect(ui->spendZeroConfChange, &QCheckBox::clicked, this, &OptionsDialog::showRestartWarning);
/* Network */
connect(ui->allowIncoming, &QCheckBox::clicked, this, &OptionsDialog::showRestartWarning);
+ connect(ui->enableServer, &QCheckBox::clicked, this, &OptionsDialog::showRestartWarning);
connect(ui->connectSocks, &QCheckBox::clicked, this, &OptionsDialog::showRestartWarning);
connect(ui->connectSocksTor, &QCheckBox::clicked, this, &OptionsDialog::showRestartWarning);
/* Display */
- connect(ui->lang, static_cast<void (QValueComboBox::*)()>(&QValueComboBox::valueChanged), [this]{ showRestartWarning(); });
+ connect(ui->lang, qOverload<>(&QValueComboBox::valueChanged), [this]{ showRestartWarning(); });
connect(ui->thirdPartyTxUrls, &QLineEdit::textChanged, [this]{ showRestartWarning(); });
}
@@ -233,11 +242,15 @@ void OptionsDialog::setMapper()
/* Wallet */
mapper->addMapping(ui->spendZeroConfChange, OptionsModel::SpendZeroConfChange);
mapper->addMapping(ui->coinControlFeatures, OptionsModel::CoinControlFeatures);
+ mapper->addMapping(ui->subFeeFromAmount, OptionsModel::SubFeeFromAmount);
+ mapper->addMapping(ui->externalSignerPath, OptionsModel::ExternalSignerPath);
+ mapper->addMapping(ui->m_enable_psbt_controls, OptionsModel::EnablePSBTControls);
/* Network */
mapper->addMapping(ui->mapPortUpnp, OptionsModel::MapPortUPnP);
mapper->addMapping(ui->mapPortNatpmp, OptionsModel::MapPortNatpmp);
mapper->addMapping(ui->allowIncoming, OptionsModel::Listen);
+ mapper->addMapping(ui->enableServer, OptionsModel::Server);
mapper->addMapping(ui->connectSocks, OptionsModel::ProxyUse);
mapper->addMapping(ui->proxyIp, OptionsModel::ProxyIP);
@@ -282,16 +295,29 @@ void OptionsDialog::on_resetButton_clicked()
/* reset all options and close GUI */
model->Reset();
- QApplication::quit();
+ close();
+ Q_EMIT quitOnReset();
}
}
void OptionsDialog::on_openBitcoinConfButton_clicked()
{
- /* explain the purpose of the config file */
- QMessageBox::information(this, tr("Configuration options"),
- tr("The configuration file is used to specify advanced user options which override GUI settings. "
- "Additionally, any command-line options will override this configuration file."));
+ QMessageBox config_msgbox(this);
+ config_msgbox.setIcon(QMessageBox::Information);
+ //: Window title text of pop-up box that allows opening up of configuration file.
+ config_msgbox.setWindowTitle(tr("Configuration options"));
+ /*: Explanatory text about the priority order of instructions considered by client.
+ The order from high to low being: command-line, configuration file, GUI settings. */
+ config_msgbox.setText(tr("The configuration file is used to specify advanced user options which override GUI settings. "
+ "Additionally, any command-line options will override this configuration file."));
+
+ QPushButton* open_button = config_msgbox.addButton(tr("Continue"), QMessageBox::ActionRole);
+ config_msgbox.addButton(tr("Cancel"), QMessageBox::RejectRole);
+ open_button->setDefault(true);
+
+ config_msgbox.exec();
+
+ if (config_msgbox.clickedButton() != open_button) return;
/* show an error if there was some problem opening the file */
if (!GUIUtil::openBitcoinConf())
@@ -338,7 +364,7 @@ void OptionsDialog::showRestartWarning(bool fPersistent)
ui->statusLabel->setText(tr("This change would require a client restart."));
// clear non-persistent status label after 10 seconds
// Todo: should perhaps be a class attribute, if we extend the use of statusLabel
- QTimer::singleShot(10000, this, &OptionsDialog::clearStatusLabel);
+ QTimer::singleShot(10s, this, &OptionsDialog::clearStatusLabel);
}
}
diff --git a/src/qt/optionsdialog.h b/src/qt/optionsdialog.h
index 1cc96035c6..0b7802536c 100644
--- a/src/qt/optionsdialog.h
+++ b/src/qt/optionsdialog.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -67,7 +67,8 @@ private Q_SLOTS:
void updateDefaultProxyNets();
Q_SIGNALS:
- void proxyIpChecks(QValidatedLineEdit *pUiProxyIp, int nProxyPort);
+ void proxyIpChecks(QValidatedLineEdit *pUiProxyIp, uint16_t nProxyPort);
+ void quitOnReset();
private:
Ui::OptionsDialog *ui;
diff --git a/src/qt/optionsmodel.cpp b/src/qt/optionsmodel.cpp
index d51a5b06ff..5d9ed5bf23 100644
--- a/src/qt/optionsmodel.cpp
+++ b/src/qt/optionsmodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,6 +21,7 @@
#include <validation.h> // For DEFAULT_SCRIPTCHECK_THREADS
#include <QDebug>
+#include <QLatin1Char>
#include <QSettings>
#include <QStringList>
@@ -82,6 +83,11 @@ void OptionsModel::Init(bool resetSettings)
settings.setValue("fCoinControlFeatures", false);
fCoinControlFeatures = settings.value("fCoinControlFeatures", false).toBool();
+ if (!settings.contains("enable_psbt_controls")) {
+ settings.setValue("enable_psbt_controls", false);
+ }
+ m_enable_psbt_controls = settings.value("enable_psbt_controls", false).toBool();
+
// These are shared with the core or have a command-line parameter
// and we want command-line parameters to overwrite the GUI settings.
//
@@ -116,6 +122,18 @@ void OptionsModel::Init(bool resetSettings)
settings.setValue("bSpendZeroConfChange", true);
if (!gArgs.SoftSetBoolArg("-spendzeroconfchange", settings.value("bSpendZeroConfChange").toBool()))
addOverriddenOption("-spendzeroconfchange");
+
+ if (!settings.contains("external_signer_path"))
+ settings.setValue("external_signer_path", "");
+
+ if (!gArgs.SoftSetArg("-signer", settings.value("external_signer_path").toString().toStdString())) {
+ addOverriddenOption("-signer");
+ }
+
+ if (!settings.contains("SubFeeFromAmount")) {
+ settings.setValue("SubFeeFromAmount", false);
+ }
+ m_sub_fee_from_amount = settings.value("SubFeeFromAmount", false).toBool();
#endif
// Network
@@ -136,6 +154,13 @@ void OptionsModel::Init(bool resetSettings)
if (!gArgs.SoftSetBoolArg("-listen", settings.value("fListen").toBool()))
addOverriddenOption("-listen");
+ if (!settings.contains("server")) {
+ settings.setValue("server", false);
+ }
+ if (!gArgs.SoftSetBoolArg("-server", settings.value("server").toBool())) {
+ addOverriddenOption("-server");
+ }
+
if (!settings.contains("fUseProxy"))
settings.setValue("fUseProxy", false);
if (!settings.contains("addrProxy"))
@@ -184,8 +209,8 @@ static void CopySettings(QSettings& dst, const QSettings& src)
/** Back up a QSettings to an ini-formatted file. */
static void BackupSettings(const fs::path& filename, const QSettings& src)
{
- qInfo() << "Backing up GUI settings to" << GUIUtil::boostPathToQString(filename);
- QSettings dst(GUIUtil::boostPathToQString(filename), QSettings::IniFormat);
+ qInfo() << "Backing up GUI settings to" << GUIUtil::PathToQString(filename);
+ QSettings dst(GUIUtil::PathToQString(filename), QSettings::IniFormat);
dst.clear();
CopySettings(dst, src);
}
@@ -195,7 +220,7 @@ void OptionsModel::Reset()
QSettings settings;
// Backup old settings to chain-specific datadir for troubleshooting
- BackupSettings(GetDataDir(true) / "guisettings.ini.bak", settings);
+ BackupSettings(gArgs.GetDataDirNet() / "guisettings.ini.bak", settings);
// Save the strDataDir setting
QString dataDir = GUIUtil::getDefaultDataDirectory();
@@ -244,7 +269,7 @@ static ProxySetting GetProxySetting(QSettings &settings, const QString &name)
static void SetProxySetting(QSettings &settings, const QString &name, const ProxySetting &ip_port)
{
- settings.setValue(name, ip_port.ip + ":" + ip_port.port);
+ settings.setValue(name, QString{ip_port.ip + QLatin1Char(':') + ip_port.port});
}
static const QString GetDefaultProxyAddress()
@@ -325,6 +350,10 @@ QVariant OptionsModel::data(const QModelIndex & index, int role) const
#ifdef ENABLE_WALLET
case SpendZeroConfChange:
return settings.value("bSpendZeroConfChange");
+ case ExternalSignerPath:
+ return settings.value("external_signer_path");
+ case SubFeeFromAmount:
+ return m_sub_fee_from_amount;
#endif
case DisplayUnit:
return nDisplayUnit;
@@ -336,6 +365,8 @@ QVariant OptionsModel::data(const QModelIndex & index, int role) const
return m_use_embedded_monospaced_font;
case CoinControlFeatures:
return fCoinControlFeatures;
+ case EnablePSBTControls:
+ return settings.value("enable_psbt_controls");
case Prune:
return settings.value("bPrune");
case PruneSize:
@@ -346,6 +377,8 @@ QVariant OptionsModel::data(const QModelIndex & index, int role) const
return settings.value("nThreadsScriptVerif");
case Listen:
return settings.value("fListen");
+ case Server:
+ return settings.value("server");
default:
return QVariant();
}
@@ -444,6 +477,16 @@ bool OptionsModel::setData(const QModelIndex & index, const QVariant & value, in
setRestartRequired(true);
}
break;
+ case ExternalSignerPath:
+ if (settings.value("external_signer_path") != value.toString()) {
+ settings.setValue("external_signer_path", value.toString());
+ setRestartRequired(true);
+ }
+ break;
+ case SubFeeFromAmount:
+ m_sub_fee_from_amount = value.toBool();
+ settings.setValue("SubFeeFromAmount", m_sub_fee_from_amount);
+ break;
#endif
case DisplayUnit:
setDisplayUnit(value);
@@ -471,6 +514,10 @@ bool OptionsModel::setData(const QModelIndex & index, const QVariant & value, in
settings.setValue("fCoinControlFeatures", fCoinControlFeatures);
Q_EMIT coinControlFeaturesChanged(fCoinControlFeatures);
break;
+ case EnablePSBTControls:
+ m_enable_psbt_controls = value.toBool();
+ settings.setValue("enable_psbt_controls", m_enable_psbt_controls);
+ break;
case Prune:
if (settings.value("bPrune") != value) {
settings.setValue("bPrune", value);
@@ -501,6 +548,12 @@ bool OptionsModel::setData(const QModelIndex & index, const QVariant & value, in
setRestartRequired(true);
}
break;
+ case Server:
+ if (settings.value("server") != value) {
+ settings.setValue("server", value);
+ setRestartRequired(true);
+ }
+ break;
default:
break;
}
diff --git a/src/qt/optionsmodel.h b/src/qt/optionsmodel.h
index 4d012a9b8f..bb9a8c1f8c 100644
--- a/src/qt/optionsmodel.h
+++ b/src/qt/optionsmodel.h
@@ -1,11 +1,10 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_OPTIONSMODEL_H
#define BITCOIN_QT_OPTIONSMODEL_H
-#include <amount.h>
#include <cstdint>
#include <qt/guiconstants.h>
@@ -61,12 +60,16 @@ public:
Language, // QString
UseEmbeddedMonospacedFont, // bool
CoinControlFeatures, // bool
+ SubFeeFromAmount, // bool
ThreadsScriptVerif, // int
Prune, // bool
PruneSize, // int
DatabaseCache, // int
+ ExternalSignerPath, // QString
SpendZeroConfChange, // bool
Listen, // bool
+ Server, // bool
+ EnablePSBTControls, // bool
OptionIDRowCount,
};
@@ -87,6 +90,8 @@ public:
QString getThirdPartyTxUrls() const { return strThirdPartyTxUrls; }
bool getUseEmbeddedMonospacedFont() const { return m_use_embedded_monospaced_font; }
bool getCoinControlFeatures() const { return fCoinControlFeatures; }
+ bool getSubFeeFromAmount() const { return m_sub_fee_from_amount; }
+ bool getEnablePSBTControls() const { return m_enable_psbt_controls; }
const QString& getOverriddenByCommandLine() { return strOverriddenByCommandLine; }
/* Explicit setters */
@@ -111,6 +116,8 @@ private:
QString strThirdPartyTxUrls;
bool m_use_embedded_monospaced_font;
bool fCoinControlFeatures;
+ bool m_sub_fee_from_amount;
+ bool m_enable_psbt_controls;
/* settings that were overridden by command-line */
QString strOverriddenByCommandLine;
diff --git a/src/qt/overviewpage.cpp b/src/qt/overviewpage.cpp
index 7f12b1d2b5..7127706463 100644
--- a/src/qt/overviewpage.cpp
+++ b/src/qt/overviewpage.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -69,19 +69,18 @@ public:
foreground = brush.color();
}
- painter->setPen(foreground);
- QRect boundingRect;
- painter->drawText(addressRect, Qt::AlignLeft | Qt::AlignVCenter, address, &boundingRect);
- int address_rect_min_width = boundingRect.width();
-
- if (index.data(TransactionTableModel::WatchonlyRole).toBool())
- {
+ if (index.data(TransactionTableModel::WatchonlyRole).toBool()) {
QIcon iconWatchonly = qvariant_cast<QIcon>(index.data(TransactionTableModel::WatchonlyDecorationRole));
- QRect watchonlyRect(boundingRect.right() + 5, mainRect.top()+ypad+halfheight, 16, halfheight);
+ QRect watchonlyRect(addressRect.left(), addressRect.top(), 16, addressRect.height());
+ iconWatchonly = platformStyle->TextColorIcon(iconWatchonly);
iconWatchonly.paint(painter, watchonlyRect);
- address_rect_min_width += 5 + watchonlyRect.width();
+ addressRect.setLeft(addressRect.left() + watchonlyRect.width() + 5);
}
+ painter->setPen(foreground);
+ QRect boundingRect;
+ painter->drawText(addressRect, Qt::AlignLeft | Qt::AlignVCenter, address, &boundingRect);
+
if(amount < 0)
{
foreground = COLOR_NEGATIVE;
@@ -108,7 +107,8 @@ public:
QRect date_bounding_rect;
painter->drawText(amountRect, Qt::AlignLeft | Qt::AlignVCenter, GUIUtil::dateTimeStr(date), &date_bounding_rect);
- const int minimum_width = std::max(address_rect_min_width, amount_bounding_rect.width() + date_bounding_rect.width());
+ // 0.4*date_bounding_rect.width() is used to visually distinguish a date from an amount.
+ const int minimum_width = 1.4 * date_bounding_rect.width() + amount_bounding_rect.width();
const auto search = m_minimum_width.find(index.row());
if (search == m_minimum_width.end() || search->second != minimum_width) {
m_minimum_width[index.row()] = minimum_width;
@@ -143,6 +143,7 @@ OverviewPage::OverviewPage(const PlatformStyle *platformStyle, QWidget *parent)
ui(new Ui::OverviewPage),
clientModel(nullptr),
walletModel(nullptr),
+ m_platform_style{platformStyle},
txdelegate(new TxViewDelegate(platformStyle, this))
{
ui->setupUi(this);
@@ -150,7 +151,7 @@ OverviewPage::OverviewPage(const PlatformStyle *platformStyle, QWidget *parent)
m_balances.balance = -1;
// use a SingleColorIcon for the "out of sync warning" icon
- QIcon icon = platformStyle->SingleColorIcon(":/icons/warning");
+ QIcon icon = m_platform_style->SingleColorIcon(QStringLiteral(":/icons/warning"));
ui->labelTransactionsStatus->setIcon(icon);
ui->labelWalletStatus->setIcon(icon);
@@ -164,8 +165,8 @@ OverviewPage::OverviewPage(const PlatformStyle *platformStyle, QWidget *parent)
// start with displaying the "out of sync" warnings
showOutOfSyncWarning(true);
- connect(ui->labelWalletStatus, &QPushButton::clicked, this, &OverviewPage::handleOutOfSyncWarningClicks);
- connect(ui->labelTransactionsStatus, &QPushButton::clicked, this, &OverviewPage::handleOutOfSyncWarningClicks);
+ connect(ui->labelWalletStatus, &QPushButton::clicked, this, &OverviewPage::outOfSyncWarningClicked);
+ connect(ui->labelTransactionsStatus, &QPushButton::clicked, this, &OverviewPage::outOfSyncWarningClicked);
}
void OverviewPage::handleTransactionClicked(const QModelIndex &index)
@@ -174,11 +175,6 @@ void OverviewPage::handleTransactionClicked(const QModelIndex &index)
Q_EMIT transactionClicked(filter->mapToSource(index));
}
-void OverviewPage::handleOutOfSyncWarningClicks()
-{
- Q_EMIT outOfSyncWarningClicked();
-}
-
void OverviewPage::setPrivacy(bool privacy)
{
m_privacy = privacy;
@@ -298,6 +294,17 @@ void OverviewPage::setWalletModel(WalletModel *model)
updateDisplayUnit();
}
+void OverviewPage::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ QIcon icon = m_platform_style->SingleColorIcon(QStringLiteral(":/icons/warning"));
+ ui->labelTransactionsStatus->setIcon(icon);
+ ui->labelWalletStatus->setIcon(icon);
+ }
+
+ QWidget::changeEvent(e);
+}
+
void OverviewPage::updateDisplayUnit()
{
if(walletModel && walletModel->getOptionsModel())
diff --git a/src/qt/overviewpage.h b/src/qt/overviewpage.h
index 5158c81678..058df1a8c5 100644
--- a/src/qt/overviewpage.h
+++ b/src/qt/overviewpage.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -45,6 +45,9 @@ Q_SIGNALS:
void transactionClicked(const QModelIndex &index);
void outOfSyncWarningClicked();
+protected:
+ void changeEvent(QEvent* e) override;
+
private:
Ui::OverviewPage *ui;
ClientModel *clientModel;
@@ -52,6 +55,8 @@ private:
interfaces::WalletBalances m_balances;
bool m_privacy{false};
+ const PlatformStyle* m_platform_style;
+
TxViewDelegate *txdelegate;
std::unique_ptr<TransactionFilterProxy> filter;
@@ -60,7 +65,6 @@ private Q_SLOTS:
void handleTransactionClicked(const QModelIndex &index);
void updateAlerts(const QString &warnings);
void updateWatchOnlyLabels(bool showWatchOnly);
- void handleOutOfSyncWarningClicks();
void setMonospacedFont(bool use_embedded_font);
};
diff --git a/src/qt/paymentserver.cpp b/src/qt/paymentserver.cpp
index 96f6202874..cb09035b45 100644
--- a/src/qt/paymentserver.cpp
+++ b/src/qt/paymentserver.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -49,9 +49,9 @@ static QString ipcServerName()
QString name("BitcoinQt");
// Append a simple hash of the datadir
- // Note that GetDataDir(true) returns a different path
+ // Note that gArgs.GetDataDirNet() returns a different path
// for -testnet versus main net
- QString ddir(GUIUtil::boostPathToQString(GetDataDir(true)));
+ QString ddir(GUIUtil::PathToQString(gArgs.GetDataDirNet()));
name.append(QString::number(qHash(ddir)));
return name;
@@ -232,15 +232,18 @@ void PaymentServer::handleURIOrFile(const QString& s)
SendCoinsRecipient recipient;
if (GUIUtil::parseBitcoinURI(s, &recipient))
{
- if (!IsValidDestinationString(recipient.address.toStdString())) {
+ std::string error_msg;
+ const CTxDestination dest = DecodeDestination(recipient.address.toStdString(), error_msg);
+
+ if (!IsValidDestination(dest)) {
if (uri.hasQueryItem("r")) { // payment request
Q_EMIT message(tr("URI handling"),
- tr("Cannot process payment request because BIP70 is not supported.")+
- tr("Due to widespread security flaws in BIP70 it's strongly recommended that any merchant instructions to switch wallets be ignored.")+
- tr("If you are receiving this error you should request the merchant provide a BIP21 compatible URI."),
+ tr("Cannot process payment request because BIP70 is not supported.\n"
+ "Due to widespread security flaws in BIP70 it's strongly recommended that any merchant instructions to switch wallets be ignored.\n"
+ "If you are receiving this error you should request the merchant provide a BIP21 compatible URI."),
CClientUIInterface::ICON_WARNING);
}
- Q_EMIT message(tr("URI handling"), tr("Invalid payment address %1").arg(recipient.address),
+ Q_EMIT message(tr("URI handling"), QString::fromStdString(error_msg),
CClientUIInterface::MSG_ERROR);
}
else
@@ -258,9 +261,9 @@ void PaymentServer::handleURIOrFile(const QString& s)
if (QFile::exists(s)) // payment request file
{
Q_EMIT message(tr("Payment request file handling"),
- tr("Cannot process payment request because BIP70 is not supported.")+
- tr("Due to widespread security flaws in BIP70 it's strongly recommended that any merchant instructions to switch wallets be ignored.")+
- tr("If you are receiving this error you should request the merchant provide a BIP21 compatible URI."),
+ tr("Cannot process payment request because BIP70 is not supported.\n"
+ "Due to widespread security flaws in BIP70 it's strongly recommended that any merchant instructions to switch wallets be ignored.\n"
+ "If you are receiving this error you should request the merchant provide a BIP21 compatible URI."),
CClientUIInterface::ICON_WARNING);
}
}
diff --git a/src/qt/peertablemodel.cpp b/src/qt/peertablemodel.cpp
index 448024d657..cd3193a1d2 100644
--- a/src/qt/peertablemodel.cpp
+++ b/src/qt/peertablemodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,105 +11,14 @@
#include <utility>
-#include <QDebug>
#include <QList>
#include <QTimer>
-bool NodeLessThan::operator()(const CNodeCombinedStats &left, const CNodeCombinedStats &right) const
-{
- const CNodeStats *pLeft = &(left.nodeStats);
- const CNodeStats *pRight = &(right.nodeStats);
-
- if (order == Qt::DescendingOrder)
- std::swap(pLeft, pRight);
-
- switch(column)
- {
- case PeerTableModel::NetNodeId:
- return pLeft->nodeid < pRight->nodeid;
- case PeerTableModel::Address:
- return pLeft->addrName.compare(pRight->addrName) < 0;
- case PeerTableModel::ConnectionType:
- return pLeft->m_conn_type < pRight->m_conn_type;
- case PeerTableModel::Network:
- return pLeft->m_network < pRight->m_network;
- case PeerTableModel::Ping:
- return pLeft->m_min_ping_time < pRight->m_min_ping_time;
- case PeerTableModel::Sent:
- return pLeft->nSendBytes < pRight->nSendBytes;
- case PeerTableModel::Received:
- return pLeft->nRecvBytes < pRight->nRecvBytes;
- case PeerTableModel::Subversion:
- return pLeft->cleanSubVer.compare(pRight->cleanSubVer) < 0;
- }
-
- return false;
-}
-
-// private implementation
-class PeerTablePriv
-{
-public:
- /** Local cache of peer information */
- QList<CNodeCombinedStats> cachedNodeStats;
- /** Column to sort nodes by (default to unsorted) */
- int sortColumn{-1};
- /** Order (ascending or descending) to sort nodes by */
- Qt::SortOrder sortOrder;
- /** Index of rows by node ID */
- std::map<NodeId, int> mapNodeRows;
-
- /** Pull a full list of peers from vNodes into our cache */
- void refreshPeers(interfaces::Node& node)
- {
- {
- cachedNodeStats.clear();
-
- interfaces::Node::NodesStats nodes_stats;
- node.getNodesStats(nodes_stats);
- cachedNodeStats.reserve(nodes_stats.size());
- for (const auto& node_stats : nodes_stats)
- {
- CNodeCombinedStats stats;
- stats.nodeStats = std::get<0>(node_stats);
- stats.fNodeStateStatsAvailable = std::get<1>(node_stats);
- stats.nodeStateStats = std::get<2>(node_stats);
- cachedNodeStats.append(stats);
- }
- }
-
- if (sortColumn >= 0)
- // sort cacheNodeStats (use stable sort to prevent rows jumping around unnecessarily)
- std::stable_sort(cachedNodeStats.begin(), cachedNodeStats.end(), NodeLessThan(sortColumn, sortOrder));
-
- // build index map
- mapNodeRows.clear();
- int row = 0;
- for (const CNodeCombinedStats& stats : cachedNodeStats)
- mapNodeRows.insert(std::pair<NodeId, int>(stats.nodeStats.nodeid, row++));
- }
-
- int size() const
- {
- return cachedNodeStats.size();
- }
-
- CNodeCombinedStats *index(int idx)
- {
- if (idx >= 0 && idx < cachedNodeStats.size())
- return &cachedNodeStats[idx];
-
- return nullptr;
- }
-};
-
PeerTableModel::PeerTableModel(interfaces::Node& node, QObject* parent) :
QAbstractTableModel(parent),
m_node(node),
timer(nullptr)
{
- priv.reset(new PeerTablePriv());
-
// set up timer for auto refresh
timer = new QTimer(this);
connect(timer, &QTimer::timeout, this, &PeerTableModel::refresh);
@@ -134,15 +43,15 @@ void PeerTableModel::stopAutoRefresh()
timer->stop();
}
-int PeerTableModel::rowCount(const QModelIndex &parent) const
+int PeerTableModel::rowCount(const QModelIndex& parent) const
{
if (parent.isValid()) {
return 0;
}
- return priv->size();
+ return m_peers_data.size();
}
-int PeerTableModel::columnCount(const QModelIndex &parent) const
+int PeerTableModel::columnCount(const QModelIndex& parent) const
{
if (parent.isValid()) {
return 0;
@@ -150,21 +59,26 @@ int PeerTableModel::columnCount(const QModelIndex &parent) const
return columns.length();
}
-QVariant PeerTableModel::data(const QModelIndex &index, int role) const
+QVariant PeerTableModel::data(const QModelIndex& index, int role) const
{
if(!index.isValid())
return QVariant();
CNodeCombinedStats *rec = static_cast<CNodeCombinedStats*>(index.internalPointer());
+ const auto column = static_cast<ColumnIndex>(index.column());
if (role == Qt::DisplayRole) {
- switch(index.column())
- {
+ switch (column) {
case NetNodeId:
return (qint64)rec->nodeStats.nodeid;
case Address:
- // prepend to peer address down-arrow symbol for inbound connection and up-arrow for outbound connection
- return QString(rec->nodeStats.fInbound ? "↓ " : "↑ ") + QString::fromStdString(rec->nodeStats.addrName);
+ return QString::fromStdString(rec->nodeStats.m_addr_name);
+ case Direction:
+ return QString(rec->nodeStats.fInbound ?
+ //: An Inbound Connection from a Peer.
+ tr("Inbound") :
+ //: An Outbound Connection to a Peer.
+ tr("Outbound"));
case ConnectionType:
return GUIUtil::ConnectionTypeToQString(rec->nodeStats.m_conn_type, /* prepend_direction */ false);
case Network:
@@ -177,24 +91,28 @@ QVariant PeerTableModel::data(const QModelIndex &index, int role) const
return GUIUtil::formatBytes(rec->nodeStats.nRecvBytes);
case Subversion:
return QString::fromStdString(rec->nodeStats.cleanSubVer);
- }
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
} else if (role == Qt::TextAlignmentRole) {
- switch (index.column()) {
- case ConnectionType:
- case Network:
- return QVariant(Qt::AlignCenter);
- case Ping:
- case Sent:
- case Received:
- return QVariant(Qt::AlignRight | Qt::AlignVCenter);
- default:
- return QVariant();
- }
+ switch (column) {
+ case NetNodeId:
+ return QVariant(Qt::AlignRight | Qt::AlignVCenter);
+ case Address:
+ return {};
+ case Direction:
+ case ConnectionType:
+ case Network:
+ return QVariant(Qt::AlignCenter);
+ case Ping:
+ case Sent:
+ case Received:
+ return QVariant(Qt::AlignRight | Qt::AlignVCenter);
+ case Subversion:
+ return {};
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
} else if (role == StatsRole) {
- switch (index.column()) {
- case NetNodeId: return QVariant::fromValue(rec);
- default: return QVariant();
- }
+ return QVariant::fromValue(rec);
}
return QVariant();
@@ -220,35 +138,54 @@ Qt::ItemFlags PeerTableModel::flags(const QModelIndex &index) const
return retval;
}
-QModelIndex PeerTableModel::index(int row, int column, const QModelIndex &parent) const
+QModelIndex PeerTableModel::index(int row, int column, const QModelIndex& parent) const
{
Q_UNUSED(parent);
- CNodeCombinedStats *data = priv->index(row);
- if (data)
- return createIndex(row, column, data);
+ if (0 <= row && row < rowCount() && 0 <= column && column < columnCount()) {
+ return createIndex(row, column, const_cast<CNodeCombinedStats*>(&m_peers_data[row]));
+ }
+
return QModelIndex();
}
void PeerTableModel::refresh()
{
- Q_EMIT layoutAboutToBeChanged();
- priv->refreshPeers(m_node);
- Q_EMIT layoutChanged();
-}
+ interfaces::Node::NodesStats nodes_stats;
+ m_node.getNodesStats(nodes_stats);
+ decltype(m_peers_data) new_peers_data;
+ new_peers_data.reserve(nodes_stats.size());
+ for (const auto& node_stats : nodes_stats) {
+ const CNodeCombinedStats stats{std::get<0>(node_stats), std::get<2>(node_stats), std::get<1>(node_stats)};
+ new_peers_data.append(stats);
+ }
-int PeerTableModel::getRowByNodeId(NodeId nodeid)
-{
- std::map<NodeId, int>::iterator it = priv->mapNodeRows.find(nodeid);
- if (it == priv->mapNodeRows.end())
- return -1;
+ // Handle peer addition or removal as suggested in Qt Docs. See:
+ // - https://doc.qt.io/qt-5/model-view-programming.html#inserting-and-removing-rows
+ // - https://doc.qt.io/qt-5/model-view-programming.html#resizable-models
+ // We take advantage of the fact that the std::vector returned
+ // by interfaces::Node::getNodesStats is sorted by nodeid.
+ for (int i = 0; i < m_peers_data.size();) {
+ if (i < new_peers_data.size() && m_peers_data.at(i).nodeStats.nodeid == new_peers_data.at(i).nodeStats.nodeid) {
+ ++i;
+ continue;
+ }
+ // A peer has been removed from the table.
+ beginRemoveRows(QModelIndex(), i, i);
+ m_peers_data.erase(m_peers_data.begin() + i);
+ endRemoveRows();
+ }
- return it->second;
-}
+ if (m_peers_data.size() < new_peers_data.size()) {
+ // Some peers have been added to the end of the table.
+ beginInsertRows(QModelIndex(), m_peers_data.size(), new_peers_data.size() - 1);
+ m_peers_data.swap(new_peers_data);
+ endInsertRows();
+ } else {
+ m_peers_data.swap(new_peers_data);
+ }
-void PeerTableModel::sort(int column, Qt::SortOrder order)
-{
- priv->sortColumn = column;
- priv->sortOrder = order;
- refresh();
+ const auto top_left = index(0, 0);
+ const auto bottom_right = index(rowCount() - 1, columnCount() - 1);
+ Q_EMIT dataChanged(top_left, bottom_right);
}
diff --git a/src/qt/peertablemodel.h b/src/qt/peertablemodel.h
index 0823235ec0..11064cdbfe 100644
--- a/src/qt/peertablemodel.h
+++ b/src/qt/peertablemodel.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,10 +8,11 @@
#include <net_processing.h> // For CNodeStateStats
#include <net.h>
-#include <memory>
-
#include <QAbstractTableModel>
+#include <QList>
+#include <QModelIndex>
#include <QStringList>
+#include <QVariant>
class PeerTablePriv;
@@ -30,18 +31,6 @@ struct CNodeCombinedStats {
};
Q_DECLARE_METATYPE(CNodeCombinedStats*)
-class NodeLessThan
-{
-public:
- NodeLessThan(int nColumn, Qt::SortOrder fOrder) :
- column(nColumn), order(fOrder) {}
- bool operator()(const CNodeCombinedStats &left, const CNodeCombinedStats &right) const;
-
-private:
- int column;
- Qt::SortOrder order;
-};
-
/**
Qt model providing information about connected peers, similar to the
"getpeerinfo" RPC call. Used by the rpc console UI.
@@ -53,13 +42,13 @@ class PeerTableModel : public QAbstractTableModel
public:
explicit PeerTableModel(interfaces::Node& node, QObject* parent);
~PeerTableModel();
- int getRowByNodeId(NodeId nodeid);
void startAutoRefresh();
void stopAutoRefresh();
enum ColumnIndex {
NetNodeId = 0,
Address,
+ Direction,
ConnectionType,
Network,
Ping,
@@ -74,22 +63,49 @@ public:
/** @name Methods overridden from QAbstractTableModel
@{*/
- int rowCount(const QModelIndex &parent) const override;
- int columnCount(const QModelIndex &parent) const override;
- QVariant data(const QModelIndex &index, int role) const override;
- QVariant headerData(int section, Qt::Orientation orientation, int role) const override;
- QModelIndex index(int row, int column, const QModelIndex &parent) const override;
+ int rowCount(const QModelIndex& parent = QModelIndex()) const override;
+ int columnCount(const QModelIndex& parent = QModelIndex()) const override;
+ QVariant data(const QModelIndex& index, int role = Qt::DisplayRole) const override;
+ QVariant headerData(int section, Qt::Orientation orientation, int role = Qt::DisplayRole) const override;
+ QModelIndex index(int row, int column, const QModelIndex& parent = QModelIndex()) const override;
Qt::ItemFlags flags(const QModelIndex &index) const override;
- void sort(int column, Qt::SortOrder order) override;
/*@}*/
public Q_SLOTS:
void refresh();
private:
+ //! Internal peer data structure.
+ QList<CNodeCombinedStats> m_peers_data{};
interfaces::Node& m_node;
- const QStringList columns{tr("Peer Id"), tr("Address"), tr("Type"), tr("Network"), tr("Ping"), tr("Sent"), tr("Received"), tr("User Agent")};
- std::unique_ptr<PeerTablePriv> priv;
+ const QStringList columns{
+ /*: Title of Peers Table column which contains a
+ unique number used to identify a connection. */
+ tr("Peer"),
+ /*: Title of Peers Table column which contains the
+ IP/Onion/I2P address of the connected peer. */
+ tr("Address"),
+ /*: Title of Peers Table column which indicates the direction
+ the peer connection was initiated from. */
+ tr("Direction"),
+ /*: Title of Peers Table column which describes the type of
+ peer connection. The "type" describes why the connection exists. */
+ tr("Type"),
+ /*: Title of Peers Table column which states the network the peer
+ connected through. */
+ tr("Network"),
+ /*: Title of Peers Table column which indicates the current latency
+ of the connection with the peer. */
+ tr("Ping"),
+ /*: Title of Peers Table column which indicates the total amount of
+ network information we have sent to the peer. */
+ tr("Sent"),
+ /*: Title of Peers Table column which indicates the total amount of
+ network information we have received from the peer. */
+ tr("Received"),
+ /*: Title of Peers Table column which contains the peer's
+ User Agent string. */
+ tr("User Agent")};
QTimer *timer;
};
diff --git a/src/qt/peertablesortproxy.cpp b/src/qt/peertablesortproxy.cpp
new file mode 100644
index 0000000000..26fedb4127
--- /dev/null
+++ b/src/qt/peertablesortproxy.cpp
@@ -0,0 +1,45 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <qt/peertablesortproxy.h>
+
+#include <qt/peertablemodel.h>
+#include <util/check.h>
+
+#include <QModelIndex>
+#include <QString>
+#include <QVariant>
+
+PeerTableSortProxy::PeerTableSortProxy(QObject* parent)
+ : QSortFilterProxyModel(parent)
+{
+}
+
+bool PeerTableSortProxy::lessThan(const QModelIndex& left_index, const QModelIndex& right_index) const
+{
+ const CNodeStats left_stats = Assert(sourceModel()->data(left_index, PeerTableModel::StatsRole).value<CNodeCombinedStats*>())->nodeStats;
+ const CNodeStats right_stats = Assert(sourceModel()->data(right_index, PeerTableModel::StatsRole).value<CNodeCombinedStats*>())->nodeStats;
+
+ switch (static_cast<PeerTableModel::ColumnIndex>(left_index.column())) {
+ case PeerTableModel::NetNodeId:
+ return left_stats.nodeid < right_stats.nodeid;
+ case PeerTableModel::Address:
+ return left_stats.m_addr_name.compare(right_stats.m_addr_name) < 0;
+ case PeerTableModel::Direction:
+ return left_stats.fInbound > right_stats.fInbound; // default sort Inbound, then Outbound
+ case PeerTableModel::ConnectionType:
+ return left_stats.m_conn_type < right_stats.m_conn_type;
+ case PeerTableModel::Network:
+ return left_stats.m_network < right_stats.m_network;
+ case PeerTableModel::Ping:
+ return left_stats.m_min_ping_time < right_stats.m_min_ping_time;
+ case PeerTableModel::Sent:
+ return left_stats.nSendBytes < right_stats.nSendBytes;
+ case PeerTableModel::Received:
+ return left_stats.nRecvBytes < right_stats.nRecvBytes;
+ case PeerTableModel::Subversion:
+ return left_stats.cleanSubVer.compare(right_stats.cleanSubVer) < 0;
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
+}
diff --git a/src/qt/peertablesortproxy.h b/src/qt/peertablesortproxy.h
new file mode 100644
index 0000000000..29e532001e
--- /dev/null
+++ b/src/qt/peertablesortproxy.h
@@ -0,0 +1,25 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_QT_PEERTABLESORTPROXY_H
+#define BITCOIN_QT_PEERTABLESORTPROXY_H
+
+#include <QSortFilterProxyModel>
+
+QT_BEGIN_NAMESPACE
+class QModelIndex;
+QT_END_NAMESPACE
+
+class PeerTableSortProxy : public QSortFilterProxyModel
+{
+ Q_OBJECT
+
+public:
+ explicit PeerTableSortProxy(QObject* parent = nullptr);
+
+protected:
+ bool lessThan(const QModelIndex& left_index, const QModelIndex& right_index) const override;
+};
+
+#endif // BITCOIN_QT_PEERTABLESORTPROXY_H
diff --git a/src/qt/platformstyle.cpp b/src/qt/platformstyle.cpp
index aab8d8e4af..89e022a067 100644
--- a/src/qt/platformstyle.cpp
+++ b/src/qt/platformstyle.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2019 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -18,7 +18,7 @@ static const struct {
/** Extra padding/spacing in transactionview */
const bool useExtraSpacing;
} platform_styles[] = {
- {"macosx", false, false, true},
+ {"macosx", false, true, true},
{"windows", true, false, false},
/* Other: linux, unix, ... */
{"other", true, true, false}
@@ -71,25 +71,28 @@ PlatformStyle::PlatformStyle(const QString &_name, bool _imagesOnButtons, bool _
name(_name),
imagesOnButtons(_imagesOnButtons),
colorizeIcons(_colorizeIcons),
- useExtraSpacing(_useExtraSpacing),
- singleColor(0,0,0),
- textColor(0,0,0)
+ useExtraSpacing(_useExtraSpacing)
+{
+}
+
+QColor PlatformStyle::TextColor() const
+{
+ return QApplication::palette().color(QPalette::WindowText);
+}
+
+QColor PlatformStyle::SingleColor() const
{
- // Determine icon highlighting color
if (colorizeIcons) {
const QColor colorHighlightBg(QApplication::palette().color(QPalette::Highlight));
const QColor colorHighlightFg(QApplication::palette().color(QPalette::HighlightedText));
const QColor colorText(QApplication::palette().color(QPalette::WindowText));
const int colorTextLightness = colorText.lightness();
- QColor colorbase;
- if (abs(colorHighlightBg.lightness() - colorTextLightness) < abs(colorHighlightFg.lightness() - colorTextLightness))
- colorbase = colorHighlightBg;
- else
- colorbase = colorHighlightFg;
- singleColor = colorbase;
+ if (abs(colorHighlightBg.lightness() - colorTextLightness) < abs(colorHighlightFg.lightness() - colorTextLightness)) {
+ return colorHighlightBg;
+ }
+ return colorHighlightFg;
}
- // Determine text color
- textColor = QColor(QApplication::palette().color(QPalette::WindowText));
+ return {0, 0, 0};
}
QImage PlatformStyle::SingleColorImage(const QString& filename) const
diff --git a/src/qt/platformstyle.h b/src/qt/platformstyle.h
index 53632e56e2..98797d6a3c 100644
--- a/src/qt/platformstyle.h
+++ b/src/qt/platformstyle.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2019 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,8 +21,8 @@ public:
bool getImagesOnButtons() const { return imagesOnButtons; }
bool getUseExtraSpacing() const { return useExtraSpacing; }
- QColor TextColor() const { return textColor; }
- QColor SingleColor() const { return singleColor; }
+ QColor TextColor() const;
+ QColor SingleColor() const;
/** Colorize an image (given filename) with the icon color */
QImage SingleColorImage(const QString& filename) const;
@@ -43,9 +43,6 @@ private:
bool imagesOnButtons;
bool colorizeIcons;
bool useExtraSpacing;
- QColor singleColor;
- QColor textColor;
- /* ... more to come later */
};
#endif // BITCOIN_QT_PLATFORMSTYLE_H
diff --git a/src/qt/psbtoperationsdialog.cpp b/src/qt/psbtoperationsdialog.cpp
index 55ab6046cf..6880c157c0 100644
--- a/src/qt/psbtoperationsdialog.cpp
+++ b/src/qt/psbtoperationsdialog.cpp
@@ -1,10 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <qt/psbtoperationsdialog.h>
#include <core_io.h>
+#include <fs.h>
#include <interfaces/node.h>
#include <key_io.h>
#include <node/psbt.h>
@@ -15,8 +16,13 @@
#include <qt/optionsmodel.h>
#include <util/strencodings.h>
+#include <fstream>
#include <iostream>
+#include <string>
+using node::AnalyzePSBT;
+using node::DEFAULT_MAX_RAW_TX_FEE_RATE;
+using node::PSBTAnalysis;
PSBTOperationsDialog::PSBTOperationsDialog(
QWidget* parent, WalletModel* wallet_model, ClientModel* client_model) : QDialog(parent, GUIUtil::dialog_flags),
@@ -47,18 +53,22 @@ void PSBTOperationsDialog::openWithPSBT(PartiallySignedTransaction psbtx)
{
m_transaction_data = psbtx;
- bool complete;
- size_t n_could_sign;
- FinalizePSBT(psbtx); // Make sure all existing signatures are fully combined before checking for completeness.
- TransactionError err = m_wallet_model->wallet().fillPSBT(SIGHASH_ALL, false /* sign */, true /* bip32derivs */, m_transaction_data, complete, &n_could_sign);
- if (err != TransactionError::OK) {
- showStatus(tr("Failed to load transaction: %1")
- .arg(QString::fromStdString(TransactionErrorString(err).translated)), StatusLevel::ERR);
- return;
+ bool complete = FinalizePSBT(psbtx); // Make sure all existing signatures are fully combined before checking for completeness.
+ if (m_wallet_model) {
+ size_t n_could_sign;
+ TransactionError err = m_wallet_model->wallet().fillPSBT(SIGHASH_ALL, false /* sign */, true /* bip32derivs */, &n_could_sign, m_transaction_data, complete);
+ if (err != TransactionError::OK) {
+ showStatus(tr("Failed to load transaction: %1")
+ .arg(QString::fromStdString(TransactionErrorString(err).translated)),
+ StatusLevel::ERR);
+ return;
+ }
+ m_ui->signTransactionButton->setEnabled(!complete && !m_wallet_model->wallet().privateKeysDisabled() && n_could_sign > 0);
+ } else {
+ m_ui->signTransactionButton->setEnabled(false);
}
m_ui->broadcastTransactionButton->setEnabled(complete);
- m_ui->signTransactionButton->setEnabled(!complete && !m_wallet_model->wallet().privateKeysDisabled() && n_could_sign > 0);
updateTransactionDisplay();
}
@@ -67,7 +77,10 @@ void PSBTOperationsDialog::signTransaction()
{
bool complete;
size_t n_signed;
- TransactionError err = m_wallet_model->wallet().fillPSBT(SIGHASH_ALL, true /* sign */, true /* bip32derivs */, m_transaction_data, complete, &n_signed);
+
+ WalletModel::UnlockContext ctx(m_wallet_model->requestUnlock());
+
+ TransactionError err = m_wallet_model->wallet().fillPSBT(SIGHASH_ALL, true /* sign */, true /* bip32derivs */, &n_signed, m_transaction_data, complete);
if (err != TransactionError::OK) {
showStatus(tr("Failed to sign transaction: %1")
@@ -77,7 +90,9 @@ void PSBTOperationsDialog::signTransaction()
updateTransactionDisplay();
- if (!complete && n_signed < 1) {
+ if (!complete && !ctx.isValid()) {
+ showStatus(tr("Cannot sign inputs while wallet is locked."), StatusLevel::WARN);
+ } else if (!complete && n_signed < 1) {
showStatus(tr("Could not sign any more inputs."), StatusLevel::WARN);
} else if (!complete) {
showStatus(tr("Signed %1 inputs, but more signatures are still required.").arg(n_signed),
@@ -101,8 +116,8 @@ void PSBTOperationsDialog::broadcastTransaction()
CTransactionRef tx = MakeTransactionRef(mtx);
std::string err_string;
- TransactionError error = BroadcastTransaction(
- *m_client_model->node().context(), tx, err_string, DEFAULT_MAX_RAW_TX_FEE_RATE.GetFeePerK(), /* relay */ true, /* await_callback */ false);
+ TransactionError error =
+ m_client_model->node().broadcastTransaction(tx, DEFAULT_MAX_RAW_TX_FEE_RATE.GetFeePerK(), err_string);
if (error == TransactionError::OK) {
showStatus(tr("Transaction broadcast successfully! Transaction ID: %1")
@@ -133,7 +148,7 @@ void PSBTOperationsDialog::saveTransaction() {
}
CTxDestination address;
ExtractDestination(out.scriptPubKey, address);
- QString amount = BitcoinUnits::format(m_wallet_model->getOptionsModel()->getDisplayUnit(), out.nValue);
+ QString amount = BitcoinUnits::format(m_client_model->getOptionsModel()->getDisplayUnit(), out.nValue);
QString address_str = QString::fromStdString(EncodeDestination(address));
filename_suggestion.append(address_str + "-" + amount);
first = false;
@@ -141,11 +156,12 @@ void PSBTOperationsDialog::saveTransaction() {
filename_suggestion.append(".psbt");
QString filename = GUIUtil::getSaveFileName(this,
tr("Save Transaction Data"), filename_suggestion,
- tr("Partially Signed Transaction (Binary) (*.psbt)"), &selected_filter);
+ //: Expanded name of the binary PSBT file format. See: BIP 174.
+ tr("Partially Signed Transaction (Binary)") + QLatin1String(" (*.psbt)"), &selected_filter);
if (filename.isEmpty()) {
return;
}
- std::ofstream out(filename.toLocal8Bit().data());
+ std::ofstream out{filename.toLocal8Bit().data(), std::ofstream::out | std::ofstream::binary};
out << ssTx.str();
out.close();
showStatus(tr("PSBT saved to disk."), StatusLevel::INFO);
@@ -223,9 +239,13 @@ void PSBTOperationsDialog::showStatus(const QString &msg, StatusLevel level) {
}
size_t PSBTOperationsDialog::couldSignInputs(const PartiallySignedTransaction &psbtx) {
+ if (!m_wallet_model) {
+ return 0;
+ }
+
size_t n_signed;
bool complete;
- TransactionError err = m_wallet_model->wallet().fillPSBT(SIGHASH_ALL, false /* sign */, false /* bip32derivs */, m_transaction_data, complete, &n_signed);
+ TransactionError err = m_wallet_model->wallet().fillPSBT(SIGHASH_ALL, false /* sign */, false /* bip32derivs */, &n_signed, m_transaction_data, complete);
if (err != TransactionError::OK) {
return 0;
@@ -245,7 +265,10 @@ void PSBTOperationsDialog::showTransactionStatus(const PartiallySignedTransactio
case PSBTRole::SIGNER: {
QString need_sig_text = tr("Transaction still needs signature(s).");
StatusLevel level = StatusLevel::INFO;
- if (m_wallet_model->wallet().privateKeysDisabled()) {
+ if (!m_wallet_model) {
+ need_sig_text += " " + tr("(But no wallet is loaded.)");
+ level = StatusLevel::WARN;
+ } else if (m_wallet_model->wallet().privateKeysDisabled()) {
need_sig_text += " " + tr("(But this wallet cannot sign transactions.)");
level = StatusLevel::WARN;
} else if (n_could_sign < 1) {
diff --git a/src/qt/qrimagewidget.cpp b/src/qt/qrimagewidget.cpp
index 490826cbbb..05a67117b6 100644
--- a/src/qt/qrimagewidget.cpp
+++ b/src/qt/qrimagewidget.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -27,12 +27,8 @@ QRImageWidget::QRImageWidget(QWidget *parent):
QLabel(parent), contextMenu(nullptr)
{
contextMenu = new QMenu(this);
- QAction *saveImageAction = new QAction(tr("&Save Image..."), this);
- connect(saveImageAction, &QAction::triggered, this, &QRImageWidget::saveImage);
- contextMenu->addAction(saveImageAction);
- QAction *copyImageAction = new QAction(tr("&Copy Image"), this);
- connect(copyImageAction, &QAction::triggered, this, &QRImageWidget::copyImage);
- contextMenu->addAction(copyImageAction);
+ contextMenu->addAction(tr("&Save Image…"), this, &QRImageWidget::saveImage);
+ contextMenu->addAction(tr("&Copy Image"), this, &QRImageWidget::copyImage);
}
bool QRImageWidget::setQR(const QString& data, const QString& text)
@@ -120,7 +116,11 @@ void QRImageWidget::saveImage()
{
if (!GUIUtil::HasPixmap(this))
return;
- QString fn = GUIUtil::getSaveFileName(this, tr("Save QR Code"), QString(), tr("PNG Image (*.png)"), nullptr);
+ QString fn = GUIUtil::getSaveFileName(
+ this, tr("Save QR Code"), QString(),
+ /*: Expanded name of the PNG file format.
+ See: https://en.wikipedia.org/wiki/Portable_Network_Graphics. */
+ tr("PNG Image") + QLatin1String(" (*.png)"), nullptr);
if (!fn.isEmpty())
{
exportImage().save(fn);
diff --git a/src/qt/qvalidatedlineedit.cpp b/src/qt/qvalidatedlineedit.cpp
index aa936d6b7c..bd4df75d23 100644
--- a/src/qt/qvalidatedlineedit.cpp
+++ b/src/qt/qvalidatedlineedit.cpp
@@ -15,6 +15,12 @@ QValidatedLineEdit::QValidatedLineEdit(QWidget *parent) :
connect(this, &QValidatedLineEdit::textChanged, this, &QValidatedLineEdit::markValid);
}
+void QValidatedLineEdit::setText(const QString& text)
+{
+ QLineEdit::setText(text);
+ checkValidity();
+}
+
void QValidatedLineEdit::setValid(bool _valid)
{
if(_valid == this->valid)
@@ -28,7 +34,7 @@ void QValidatedLineEdit::setValid(bool _valid)
}
else
{
- setStyleSheet(STYLE_INVALID);
+ setStyleSheet("QValidatedLineEdit { " STYLE_INVALID "}");
}
this->valid = _valid;
}
@@ -106,6 +112,7 @@ void QValidatedLineEdit::checkValidity()
void QValidatedLineEdit::setCheckValidator(const QValidator *v)
{
checkValidator = v;
+ checkValidity();
}
bool QValidatedLineEdit::isValid()
diff --git a/src/qt/qvalidatedlineedit.h b/src/qt/qvalidatedlineedit.h
index b32305f5e1..12d35aa264 100644
--- a/src/qt/qvalidatedlineedit.h
+++ b/src/qt/qvalidatedlineedit.h
@@ -29,6 +29,7 @@ private:
const QValidator *checkValidator;
public Q_SLOTS:
+ void setText(const QString&);
void setValid(bool valid);
void setEnabled(bool enabled);
diff --git a/src/qt/qvaluecombobox.cpp b/src/qt/qvaluecombobox.cpp
index 76f94ecf85..f94486a2f3 100644
--- a/src/qt/qvaluecombobox.cpp
+++ b/src/qt/qvaluecombobox.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2018 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,7 @@
QValueComboBox::QValueComboBox(QWidget *parent) :
QComboBox(parent), role(Qt::UserRole)
{
- connect(this, static_cast<void (QComboBox::*)(int)>(&QComboBox::currentIndexChanged), this, &QValueComboBox::handleSelectionChanged);
+ connect(this, qOverload<int>(&QComboBox::currentIndexChanged), this, &QValueComboBox::handleSelectionChanged);
}
QVariant QValueComboBox::value() const
diff --git a/src/qt/receivecoinsdialog.cpp b/src/qt/receivecoinsdialog.cpp
index 0da12c84fd..3c80c01160 100644
--- a/src/qt/receivecoinsdialog.cpp
+++ b/src/qt/receivecoinsdialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -38,32 +38,18 @@ ReceiveCoinsDialog::ReceiveCoinsDialog(const PlatformStyle *_platformStyle, QWid
} else {
ui->clearButton->setIcon(_platformStyle->SingleColorIcon(":/icons/remove"));
ui->receiveButton->setIcon(_platformStyle->SingleColorIcon(":/icons/receiving_addresses"));
- ui->showRequestButton->setIcon(_platformStyle->SingleColorIcon(":/icons/edit"));
+ ui->showRequestButton->setIcon(_platformStyle->SingleColorIcon(":/icons/eye"));
ui->removeRequestButton->setIcon(_platformStyle->SingleColorIcon(":/icons/remove"));
}
- // context menu actions
- QAction *copyURIAction = new QAction(tr("Copy URI"), this);
- QAction* copyAddressAction = new QAction(tr("Copy address"), this);
- copyLabelAction = new QAction(tr("Copy label"), this);
- copyMessageAction = new QAction(tr("Copy message"), this);
- copyAmountAction = new QAction(tr("Copy amount"), this);
-
// context menu
contextMenu = new QMenu(this);
- contextMenu->addAction(copyURIAction);
- contextMenu->addAction(copyAddressAction);
- contextMenu->addAction(copyLabelAction);
- contextMenu->addAction(copyMessageAction);
- contextMenu->addAction(copyAmountAction);
-
- // context menu signals
+ contextMenu->addAction(tr("Copy &URI"), this, &ReceiveCoinsDialog::copyURI);
+ contextMenu->addAction(tr("&Copy address"), this, &ReceiveCoinsDialog::copyAddress);
+ copyLabelAction = contextMenu->addAction(tr("Copy &label"), this, &ReceiveCoinsDialog::copyLabel);
+ copyMessageAction = contextMenu->addAction(tr("Copy &message"), this, &ReceiveCoinsDialog::copyMessage);
+ copyAmountAction = contextMenu->addAction(tr("Copy &amount"), this, &ReceiveCoinsDialog::copyAmount);
connect(ui->recentRequestsView, &QWidget::customContextMenuRequested, this, &ReceiveCoinsDialog::showMenu);
- connect(copyURIAction, &QAction::triggered, this, &ReceiveCoinsDialog::copyURI);
- connect(copyAddressAction, &QAction::triggered, this, &ReceiveCoinsDialog::copyAddress);
- connect(copyLabelAction, &QAction::triggered, this, &ReceiveCoinsDialog::copyLabel);
- connect(copyMessageAction, &QAction::triggered, this, &ReceiveCoinsDialog::copyMessage);
- connect(copyAmountAction, &QAction::triggered, this, &ReceiveCoinsDialog::copyAmount);
connect(ui->clearButton, &QPushButton::clicked, this, &ReceiveCoinsDialog::clear);
@@ -81,7 +67,6 @@ ReceiveCoinsDialog::ReceiveCoinsDialog(const PlatformStyle *_platformStyle, QWid
tableView->horizontalHeader()->setMinimumSectionSize(MINIMUM_COLUMN_WIDTH);
tableView->horizontalHeader()->setStretchLastSection(true);
}
- tableView->horizontalHeader()->setSortIndicator(RecentRequestsTableModel::Date, Qt::DescendingOrder);
}
void ReceiveCoinsDialog::setModel(WalletModel *_model)
@@ -96,14 +81,24 @@ void ReceiveCoinsDialog::setModel(WalletModel *_model)
QTableView* tableView = ui->recentRequestsView;
tableView->setModel(_model->getRecentRequestsTableModel());
+ tableView->sortByColumn(RecentRequestsTableModel::Date, Qt::DescendingOrder);
+
connect(tableView->selectionModel(),
&QItemSelectionModel::selectionChanged, this,
&ReceiveCoinsDialog::recentRequestsView_selectionChanged);
- if (model->wallet().getDefaultAddressType() == OutputType::BECH32) {
- ui->useBech32->setCheckState(Qt::Checked);
- } else {
- ui->useBech32->setCheckState(Qt::Unchecked);
+ // Populate address type dropdown and select default
+ auto add_address_type = [&](OutputType type, const QString& text, const QString& tooltip) {
+ const auto index = ui->addressType->count();
+ ui->addressType->addItem(text, (int) type);
+ ui->addressType->setItemData(index, tooltip, Qt::ToolTipRole);
+ if (model->wallet().getDefaultAddressType() == type) ui->addressType->setCurrentIndex(index);
+ };
+ add_address_type(OutputType::LEGACY, "Base58 (Legacy)", "Not recommended due to higher fees and less protection against typos.");
+ add_address_type(OutputType::P2SH_SEGWIT, "Base58 (P2SH-SegWit)", "Generates an address compatible with older wallets.");
+ add_address_type(OutputType::BECH32, "Bech32 (SegWit)", "Generates a native segwit address (BIP-173). Some old wallets don't support it.");
+ if (model->wallet().taprootEnabled()) {
+ add_address_type(OutputType::BECH32M, "Bech32m (Taproot)", "Bech32m (BIP-350) is an upgrade to Bech32, wallet support is still limited.");
}
// Set the button to be enabled or disabled based on whether the wallet can give out new addresses.
@@ -157,15 +152,7 @@ void ReceiveCoinsDialog::on_receiveButton_clicked()
QString address;
QString label = ui->reqLabel->text();
/* Generate new receiving address */
- OutputType address_type;
- if (ui->useBech32->isChecked()) {
- address_type = OutputType::BECH32;
- } else {
- address_type = model->wallet().getDefaultAddressType();
- if (address_type == OutputType::BECH32) {
- address_type = OutputType::P2SH_SEGWIT;
- }
- }
+ const OutputType address_type = (OutputType)ui->addressType->currentData().toInt();
address = model->getAddressTableModel()->addRow(AddressTableModel::Receive, label, "", address_type);
switch(model->getAddressTableModel()->getEditStatus())
diff --git a/src/qt/receivecoinsdialog.h b/src/qt/receivecoinsdialog.h
index fbbccc5a33..a089b8aa6a 100644
--- a/src/qt/receivecoinsdialog.h
+++ b/src/qt/receivecoinsdialog.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/qt/receiverequestdialog.cpp b/src/qt/receiverequestdialog.cpp
index 78ae5c07da..c0135283b1 100644
--- a/src/qt/receiverequestdialog.cpp
+++ b/src/qt/receiverequestdialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -89,6 +89,12 @@ void ReceiveRequestDialog::setInfo(const SendCoinsRecipient &_info)
ui->wallet_tag->hide();
ui->wallet_content->hide();
}
+
+ ui->btnVerify->setVisible(model->wallet().hasExternalSigner());
+
+ connect(ui->btnVerify, &QPushButton::clicked, [this] {
+ model->displayAddress(info.address.toStdString());
+ });
}
void ReceiveRequestDialog::updateDisplayUnit()
diff --git a/src/qt/recentrequeststablemodel.cpp b/src/qt/recentrequeststablemodel.cpp
index 03531a1381..03ca9ad7dc 100644
--- a/src/qt/recentrequeststablemodel.cpp
+++ b/src/qt/recentrequeststablemodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,18 +10,23 @@
#include <qt/walletmodel.h>
#include <clientversion.h>
+#include <interfaces/wallet.h>
+#include <key_io.h>
#include <streams.h>
+#include <util/string.h>
#include <utility>
+#include <QLatin1Char>
+#include <QLatin1String>
+
RecentRequestsTableModel::RecentRequestsTableModel(WalletModel *parent) :
QAbstractTableModel(parent), walletModel(parent)
{
// Load entries from wallet
- std::vector<std::string> vReceiveRequests;
- parent->loadReceiveRequests(vReceiveRequests);
- for (const std::string& request : vReceiveRequests)
+ for (const std::string& request : parent->wallet().getAddressReceiveRequests()) {
addNewRequest(request);
+ }
/* These columns must match the indices in the ColumnIndex enumeration */
columns << tr("Date") << tr("Label") << tr("Message") << getAmountTitle();
@@ -124,7 +129,11 @@ void RecentRequestsTableModel::updateAmountColumnTitle()
/** Gets title for amount column including current display unit if optionsModel reference available. */
QString RecentRequestsTableModel::getAmountTitle()
{
- return (this->walletModel->getOptionsModel() != nullptr) ? tr("Requested") + " ("+BitcoinUnits::shortName(this->walletModel->getOptionsModel()->getDisplayUnit()) + ")" : "";
+ if (!walletModel->getOptionsModel()) return {};
+ return tr("Requested") +
+ QLatin1String(" (") +
+ BitcoinUnits::shortName(this->walletModel->getOptionsModel()->getDisplayUnit()) +
+ QLatin1Char(')');
}
QModelIndex RecentRequestsTableModel::index(int row, int column, const QModelIndex &parent) const
@@ -143,7 +152,7 @@ bool RecentRequestsTableModel::removeRows(int row, int count, const QModelIndex
for (int i = 0; i < count; ++i)
{
const RecentRequestEntry* rec = &list[row+i];
- if (!walletModel->saveReceiveRequest(rec->recipient.address.toStdString(), rec->id, ""))
+ if (!walletModel->wallet().setAddressReceiveRequest(DecodeDestination(rec->recipient.address.toStdString()), ToString(rec->id), ""))
return false;
}
@@ -172,7 +181,7 @@ void RecentRequestsTableModel::addNewRequest(const SendCoinsRecipient &recipient
CDataStream ss(SER_DISK, CLIENT_VERSION);
ss << newEntry;
- if (!walletModel->saveReceiveRequest(recipient.address.toStdString(), newEntry.id, ss.str()))
+ if (!walletModel->wallet().setAddressReceiveRequest(DecodeDestination(recipient.address.toStdString()), ToString(newEntry.id), ss.str()))
return;
addNewRequest(newEntry);
@@ -225,7 +234,7 @@ bool RecentRequestEntryLessThan::operator()(const RecentRequestEntry& left, cons
switch(column)
{
case RecentRequestsTableModel::Date:
- return pLeft->date.toTime_t() < pRight->date.toTime_t();
+ return pLeft->date.toSecsSinceEpoch() < pRight->date.toSecsSinceEpoch();
case RecentRequestsTableModel::Label:
return pLeft->recipient.label < pRight->recipient.label;
case RecentRequestsTableModel::Message:
diff --git a/src/qt/recentrequeststablemodel.h b/src/qt/recentrequeststablemodel.h
index b817b64e77..cf7cd24ce2 100644
--- a/src/qt/recentrequeststablemodel.h
+++ b/src/qt/recentrequeststablemodel.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,6 +7,8 @@
#include <qt/sendcoinsrecipient.h>
+#include <string>
+
#include <QAbstractTableModel>
#include <QStringList>
#include <QDateTime>
@@ -26,9 +28,9 @@ public:
SERIALIZE_METHODS(RecentRequestEntry, obj) {
unsigned int date_timet;
- SER_WRITE(obj, date_timet = obj.date.toTime_t());
+ SER_WRITE(obj, date_timet = obj.date.toSecsSinceEpoch());
READWRITE(obj.nVersion, obj.id, date_timet, obj.recipient);
- SER_READ(obj, obj.date = QDateTime::fromTime_t(date_timet));
+ SER_READ(obj, obj.date = QDateTime::fromSecsSinceEpoch(date_timet));
}
};
diff --git a/src/qt/res/animation/makespinner.sh b/src/qt/res/animation/makespinner.sh
index 83142f5034..92e34a84a3 100755
--- a/src/qt/res/animation/makespinner.sh
+++ b/src/qt/res/animation/makespinner.sh
@@ -1,14 +1,14 @@
#!/usr/bin/env bash
#
-# Copyright (c) 2014-2020 The Bitcoin Core developers
+# Copyright (c) 2014-2021 The Bitcoin Core developers
# Distributed under the MIT software license, see the accompanying
# file COPYING or http://www.opensource.org/licenses/mit-license.php.
export LC_ALL=C
-FRAMEDIR=$(dirname $0)
+FRAMEDIR=$(dirname "$0")
for i in {0..35}
do
- frame=$(printf "%03d" $i)
+ frame=$(printf "%03d" "$i")
angle=$((i * 10))
- convert $FRAMEDIR/../src/spinner.png -background "rgba(0,0,0,0.0)" -distort SRT $angle $FRAMEDIR/spinner-$frame.png
+ convert "${FRAMEDIR}/../src/spinner.png" -background "rgba(0,0,0,0.0)" -distort SRT $angle "${FRAMEDIR}/spinner-${frame}.png"
done
diff --git a/src/qt/rpcconsole.cpp b/src/qt/rpcconsole.cpp
index 68adad4ebd..c5e5e69df6 100644
--- a/src/qt/rpcconsole.cpp
+++ b/src/qt/rpcconsole.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,13 +9,15 @@
#include <qt/rpcconsole.h>
#include <qt/forms/ui_debugwindow.h>
+#include <chainparams.h>
+#include <interfaces/node.h>
+#include <netbase.h>
#include <qt/bantablemodel.h>
#include <qt/clientmodel.h>
+#include <qt/guiutil.h>
+#include <qt/peertablesortproxy.h>
#include <qt/platformstyle.h>
#include <qt/walletmodel.h>
-#include <chainparams.h>
-#include <interfaces/node.h>
-#include <netbase.h>
#include <rpc/client.h>
#include <rpc/server.h>
#include <util/strencodings.h>
@@ -33,9 +35,13 @@
#include <wallet/wallet.h>
#endif
+#include <QAbstractButton>
+#include <QAbstractItemModel>
#include <QDateTime>
#include <QFont>
#include <QKeyEvent>
+#include <QLatin1String>
+#include <QLocale>
#include <QMenu>
#include <QMessageBox>
#include <QScreen>
@@ -43,9 +49,12 @@
#include <QSettings>
#include <QString>
#include <QStringList>
+#include <QStyledItemDelegate>
#include <QTime>
#include <QTimer>
+#include <QVariant>
+#include <chrono>
const int CONSOLE_HISTORY = 50;
const int INITIAL_TRAFFIC_GRAPH_MINS = 30;
@@ -127,6 +136,20 @@ public:
}
};
+class PeerIdViewDelegate : public QStyledItemDelegate
+{
+ Q_OBJECT
+public:
+ explicit PeerIdViewDelegate(QObject* parent = nullptr)
+ : QStyledItemDelegate(parent) {}
+
+ QString displayText(const QVariant& value, const QLocale& locale) const override
+ {
+ // Additional spaces should visually separate right-aligned content
+ // from the next column to the right.
+ return value.toString() + QLatin1String(" ");
+ }
+};
#include <qt/rpcconsole.moc>
@@ -227,10 +250,11 @@ bool RPCConsole::RPCParseCommandLine(interfaces::Node* node, std::string &strRes
UniValue subelement;
if (lastResult.isArray())
{
- for(char argch: curarg)
- if (!IsDigit(argch))
- throw std::runtime_error("Invalid result query");
- subelement = lastResult[atoi(curarg.c_str())];
+ const auto parsed{ToIntegral<size_t>(curarg)};
+ if (!parsed) {
+ throw std::runtime_error("Invalid result query");
+ }
+ subelement = lastResult[parsed.value()];
}
else if (lastResult.isObject())
subelement = find_value(lastResult, curarg);
@@ -268,6 +292,7 @@ bool RPCConsole::RPCParseCommandLine(interfaces::Node* node, std::string &strRes
}
if (breakParsing)
break;
+ [[fallthrough]];
}
case STATE_ARGUMENT: // In or after argument
case STATE_EATING_SPACES_IN_ARG:
@@ -381,6 +406,7 @@ bool RPCConsole::RPCParseCommandLine(interfaces::Node* node, std::string &strRes
strResult = lastResult.get_str();
else
strResult = lastResult.write(2);
+ [[fallthrough]];
case STATE_ARGUMENT:
case STATE_EATING_SPACES:
return true;
@@ -453,30 +479,55 @@ RPCConsole::RPCConsole(interfaces::Node& node, const PlatformStyle *_platformSty
{
ui->setupUi(this);
QSettings settings;
- if (!restoreGeometry(settings.value("RPCConsoleWindowGeometry").toByteArray())) {
- // Restore failed (perhaps missing setting), center the window
- move(QGuiApplication::primaryScreen()->availableGeometry().center() - frameGeometry().center());
+#ifdef ENABLE_WALLET
+ if (WalletModel::isWalletEnabled()) {
+ // RPCConsole widget is a window.
+ if (!restoreGeometry(settings.value("RPCConsoleWindowGeometry").toByteArray())) {
+ // Restore failed (perhaps missing setting), center the window
+ move(QGuiApplication::primaryScreen()->availableGeometry().center() - frameGeometry().center());
+ }
+ ui->splitter->restoreState(settings.value("RPCConsoleWindowPeersTabSplitterSizes").toByteArray());
+ } else
+#endif // ENABLE_WALLET
+ {
+ // RPCConsole is a child widget.
+ ui->splitter->restoreState(settings.value("RPCConsoleWidgetPeersTabSplitterSizes").toByteArray());
}
- ui->splitter->restoreState(settings.value("PeersTabSplitterSizes").toByteArray());
+ m_peer_widget_header_state = settings.value("PeersTabPeerHeaderState").toByteArray();
+ m_banlist_widget_header_state = settings.value("PeersTabBanlistHeaderState").toByteArray();
constexpr QChar nonbreaking_hyphen(8209);
const std::vector<QString> CONNECTION_TYPE_DOC{
+ //: Explanatory text for an inbound peer connection.
tr("Inbound: initiated by peer"),
+ /*: Explanatory text for an outbound peer connection that
+ relays all network information. This is the default behavior for
+ outbound connections. */
tr("Outbound Full Relay: default"),
+ /*: Explanatory text for an outbound peer connection that relays
+ network information about blocks and not transactions or addresses. */
tr("Outbound Block Relay: does not relay transactions or addresses"),
+ /*: Explanatory text for an outbound peer connection that was
+ established manually through one of several methods. The numbered
+ arguments are stand-ins for the methods available to establish
+ manual connections. */
tr("Outbound Manual: added using RPC %1 or %2/%3 configuration options")
.arg("addnode")
.arg(QString(nonbreaking_hyphen) + "addnode")
.arg(QString(nonbreaking_hyphen) + "connect"),
+ /*: Explanatory text for a short-lived outbound peer connection that
+ is used to test the aliveness of known addresses. */
tr("Outbound Feeler: short-lived, for testing addresses"),
+ /*: Explanatory text for a short-lived outbound peer connection that is used
+ to request addresses from a peer. */
tr("Outbound Address Fetch: short-lived, for soliciting addresses")};
const QString list{"<ul><li>" + Join(CONNECTION_TYPE_DOC, QString("</li><li>")) + "</li></ul>"};
ui->peerConnectionTypeLabel->setToolTip(ui->peerConnectionTypeLabel->toolTip().arg(list));
const QString hb_list{"<ul><li>\""
- + tr("To") + "\" – " + tr("we selected the peer for high bandwidth relay") + "</li><li>\""
- + tr("From") + "\" – " + tr("the peer selected us for high bandwidth relay") + "</li><li>\""
- + tr("No") + "\" – " + tr("no high bandwidth relay selected") + "</li></ul>"};
+ + ts.to + "\" – " + tr("we selected the peer for high bandwidth relay") + "</li><li>\""
+ + ts.from + "\" – " + tr("the peer selected us for high bandwidth relay") + "</li><li>\""
+ + ts.no + "\" – " + tr("no high bandwidth relay selected") + "</li></ul>"};
ui->peerHighBandwidthLabel->setToolTip(ui->peerHighBandwidthLabel->toolTip().arg(hb_list));
ui->dataDir->setToolTip(ui->dataDir->toolTip().arg(QString(nonbreaking_hyphen) + "datadir"));
ui->blocksDir->setToolTip(ui->blocksDir->toolTip().arg(QString(nonbreaking_hyphen) + "blocksdir"));
@@ -486,17 +537,29 @@ RPCConsole::RPCConsole(interfaces::Node& node, const PlatformStyle *_platformSty
ui->openDebugLogfileButton->setIcon(platformStyle->SingleColorIcon(":/icons/export"));
}
ui->clearButton->setIcon(platformStyle->SingleColorIcon(":/icons/remove"));
+
ui->fontBiggerButton->setIcon(platformStyle->SingleColorIcon(":/icons/fontbigger"));
+ //: Main shortcut to increase the RPC console font size.
+ ui->fontBiggerButton->setShortcut(tr("Ctrl++"));
+ //: Secondary shortcut to increase the RPC console font size.
+ GUIUtil::AddButtonShortcut(ui->fontBiggerButton, tr("Ctrl+="));
+
ui->fontSmallerButton->setIcon(platformStyle->SingleColorIcon(":/icons/fontsmaller"));
+ //: Main shortcut to decrease the RPC console font size.
+ ui->fontSmallerButton->setShortcut(tr("Ctrl+-"));
+ //: Secondary shortcut to decrease the RPC console font size.
+ GUIUtil::AddButtonShortcut(ui->fontSmallerButton, tr("Ctrl+_"));
+
+ ui->promptIcon->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/prompticon")));
// Install event filter for up and down arrow
ui->lineEdit->installEventFilter(this);
ui->lineEdit->setMaxLength(16 * 1024 * 1024);
ui->messagesWidget->installEventFilter(this);
- connect(ui->clearButton, &QPushButton::clicked, this, &RPCConsole::clear);
- connect(ui->fontBiggerButton, &QPushButton::clicked, this, &RPCConsole::fontBigger);
- connect(ui->fontSmallerButton, &QPushButton::clicked, this, &RPCConsole::fontSmaller);
+ connect(ui->clearButton, &QAbstractButton::clicked, [this] { clear(); });
+ connect(ui->fontBiggerButton, &QAbstractButton::clicked, this, &RPCConsole::fontBigger);
+ connect(ui->fontSmallerButton, &QAbstractButton::clicked, this, &RPCConsole::fontSmaller);
connect(ui->btnClearTrafficGraph, &QPushButton::clicked, ui->trafficGraph, &TrafficGraphWidget::clear);
// disable the wallet selector by default
@@ -521,8 +584,21 @@ RPCConsole::RPCConsole(interfaces::Node& node, const PlatformStyle *_platformSty
RPCConsole::~RPCConsole()
{
QSettings settings;
- settings.setValue("RPCConsoleWindowGeometry", saveGeometry());
- settings.setValue("PeersTabSplitterSizes", ui->splitter->saveState());
+#ifdef ENABLE_WALLET
+ if (WalletModel::isWalletEnabled()) {
+ // RPCConsole widget is a window.
+ settings.setValue("RPCConsoleWindowGeometry", saveGeometry());
+ settings.setValue("RPCConsoleWindowPeersTabSplitterSizes", ui->splitter->saveState());
+ } else
+#endif // ENABLE_WALLET
+ {
+ // RPCConsole is a child widget.
+ settings.setValue("RPCConsoleWidgetPeersTabSplitterSizes", ui->splitter->saveState());
+ }
+
+ settings.setValue("PeersTabPeerHeaderState", m_peer_widget_header_state);
+ settings.setValue("PeersTabBanlistHeaderState", m_banlist_widget_header_state);
+
m_node.rpcUnsetTimerInterface(rpcTimerInterface);
delete rpcTimerInterface;
delete ui;
@@ -593,7 +669,7 @@ void RPCConsole::setClientModel(ClientModel *model, int bestblock_height, int64_
setNumConnections(model->getNumConnections());
connect(model, &ClientModel::numConnectionsChanged, this, &RPCConsole::setNumConnections);
- setNumBlocks(bestblock_height, QDateTime::fromTime_t(bestblock_date), verification_progress, false);
+ setNumBlocks(bestblock_height, QDateTime::fromSecsSinceEpoch(bestblock_date), verification_progress, false);
connect(model, &ClientModel::numBlocksChanged, this, &RPCConsole::setNumBlocks);
updateNetworkState();
@@ -606,69 +682,62 @@ void RPCConsole::setClientModel(ClientModel *model, int bestblock_height, int64_
connect(model, &ClientModel::mempoolSizeChanged, this, &RPCConsole::setMempoolSize);
// set up peer table
- ui->peerWidget->setModel(model->getPeerTableModel());
+ ui->peerWidget->setModel(model->peerTableSortProxy());
ui->peerWidget->verticalHeader()->hide();
- ui->peerWidget->setEditTriggers(QAbstractItemView::NoEditTriggers);
ui->peerWidget->setSelectionBehavior(QAbstractItemView::SelectRows);
ui->peerWidget->setSelectionMode(QAbstractItemView::ExtendedSelection);
ui->peerWidget->setContextMenuPolicy(Qt::CustomContextMenu);
- ui->peerWidget->setColumnWidth(PeerTableModel::Address, ADDRESS_COLUMN_WIDTH);
- ui->peerWidget->setColumnWidth(PeerTableModel::Subversion, SUBVERSION_COLUMN_WIDTH);
- ui->peerWidget->setColumnWidth(PeerTableModel::Ping, PING_COLUMN_WIDTH);
- ui->peerWidget->horizontalHeader()->setStretchLastSection(true);
- // create peer table context menu actions
- QAction* disconnectAction = new QAction(tr("&Disconnect"), this);
- QAction* banAction1h = new QAction(tr("Ban for") + " " + tr("1 &hour"), this);
- QAction* banAction24h = new QAction(tr("Ban for") + " " + tr("1 &day"), this);
- QAction* banAction7d = new QAction(tr("Ban for") + " " + tr("1 &week"), this);
- QAction* banAction365d = new QAction(tr("Ban for") + " " + tr("1 &year"), this);
+ if (!ui->peerWidget->horizontalHeader()->restoreState(m_peer_widget_header_state)) {
+ ui->peerWidget->setColumnWidth(PeerTableModel::Address, ADDRESS_COLUMN_WIDTH);
+ ui->peerWidget->setColumnWidth(PeerTableModel::Subversion, SUBVERSION_COLUMN_WIDTH);
+ ui->peerWidget->setColumnWidth(PeerTableModel::Ping, PING_COLUMN_WIDTH);
+ }
+ ui->peerWidget->horizontalHeader()->setStretchLastSection(true);
+ ui->peerWidget->setItemDelegateForColumn(PeerTableModel::NetNodeId, new PeerIdViewDelegate(this));
// create peer table context menu
peersTableContextMenu = new QMenu(this);
- peersTableContextMenu->addAction(disconnectAction);
- peersTableContextMenu->addAction(banAction1h);
- peersTableContextMenu->addAction(banAction24h);
- peersTableContextMenu->addAction(banAction7d);
- peersTableContextMenu->addAction(banAction365d);
-
- connect(banAction1h, &QAction::triggered, [this] { banSelectedNode(60 * 60); });
- connect(banAction24h, &QAction::triggered, [this] { banSelectedNode(60 * 60 * 24); });
- connect(banAction7d, &QAction::triggered, [this] { banSelectedNode(60 * 60 * 24 * 7); });
- connect(banAction365d, &QAction::triggered, [this] { banSelectedNode(60 * 60 * 24 * 365); });
-
- // peer table context menu signals
+ //: Context menu action to copy the address of a peer.
+ peersTableContextMenu->addAction(tr("&Copy address"), [this] {
+ GUIUtil::copyEntryData(ui->peerWidget, PeerTableModel::Address, Qt::DisplayRole);
+ });
+ peersTableContextMenu->addSeparator();
+ peersTableContextMenu->addAction(tr("&Disconnect"), this, &RPCConsole::disconnectSelectedNode);
+ peersTableContextMenu->addAction(ts.ban_for + " " + tr("1 &hour"), [this] { banSelectedNode(60 * 60); });
+ peersTableContextMenu->addAction(ts.ban_for + " " + tr("1 d&ay"), [this] { banSelectedNode(60 * 60 * 24); });
+ peersTableContextMenu->addAction(ts.ban_for + " " + tr("1 &week"), [this] { banSelectedNode(60 * 60 * 24 * 7); });
+ peersTableContextMenu->addAction(ts.ban_for + " " + tr("1 &year"), [this] { banSelectedNode(60 * 60 * 24 * 365); });
connect(ui->peerWidget, &QTableView::customContextMenuRequested, this, &RPCConsole::showPeersTableContextMenu);
- connect(disconnectAction, &QAction::triggered, this, &RPCConsole::disconnectSelectedNode);
// peer table signal handling - update peer details when selecting new node
connect(ui->peerWidget->selectionModel(), &QItemSelectionModel::selectionChanged, this, &RPCConsole::updateDetailWidget);
- // peer table signal handling - update peer details when new nodes are added to the model
- connect(model->getPeerTableModel(), &PeerTableModel::layoutChanged, this, &RPCConsole::peerLayoutChanged);
- // peer table signal handling - cache selected node ids
- connect(model->getPeerTableModel(), &PeerTableModel::layoutAboutToBeChanged, this, &RPCConsole::peerLayoutAboutToChange);
+ connect(model->getPeerTableModel(), &QAbstractItemModel::dataChanged, [this] { updateDetailWidget(); });
// set up ban table
ui->banlistWidget->setModel(model->getBanTableModel());
ui->banlistWidget->verticalHeader()->hide();
- ui->banlistWidget->setEditTriggers(QAbstractItemView::NoEditTriggers);
ui->banlistWidget->setSelectionBehavior(QAbstractItemView::SelectRows);
ui->banlistWidget->setSelectionMode(QAbstractItemView::SingleSelection);
ui->banlistWidget->setContextMenuPolicy(Qt::CustomContextMenu);
- ui->banlistWidget->setColumnWidth(BanTableModel::Address, BANSUBNET_COLUMN_WIDTH);
- ui->banlistWidget->setColumnWidth(BanTableModel::Bantime, BANTIME_COLUMN_WIDTH);
- ui->banlistWidget->horizontalHeader()->setStretchLastSection(true);
- // create ban table context menu action
- QAction* unbanAction = new QAction(tr("&Unban"), this);
+ if (!ui->banlistWidget->horizontalHeader()->restoreState(m_banlist_widget_header_state)) {
+ ui->banlistWidget->setColumnWidth(BanTableModel::Address, BANSUBNET_COLUMN_WIDTH);
+ ui->banlistWidget->setColumnWidth(BanTableModel::Bantime, BANTIME_COLUMN_WIDTH);
+ }
+ ui->banlistWidget->horizontalHeader()->setStretchLastSection(true);
// create ban table context menu
banTableContextMenu = new QMenu(this);
- banTableContextMenu->addAction(unbanAction);
-
- // ban table context menu signals
+ /*: Context menu action to copy the IP/Netmask of a banned peer.
+ IP/Netmask is the combination of a peer's IP address and its Netmask.
+ For IP address, see: https://en.wikipedia.org/wiki/IP_address. */
+ banTableContextMenu->addAction(tr("&Copy IP/Netmask"), [this] {
+ GUIUtil::copyEntryData(ui->banlistWidget, BanTableModel::Address, Qt::DisplayRole);
+ });
+ banTableContextMenu->addSeparator();
+ banTableContextMenu->addAction(tr("&Unban"), this, &RPCConsole::unbanSelectedNode);
connect(ui->banlistWidget, &QTableView::customContextMenuRequested, this, &RPCConsole::showBanTableContextMenu);
- connect(unbanAction, &QAction::triggered, this, &RPCConsole::unbanSelectedNode);
// ban table signal handling - clear peer details when clicking a peer in the ban table
connect(ui->banlistWidget, &QTableView::clicked, this, &RPCConsole::clearSelectedNode);
@@ -778,20 +847,15 @@ void RPCConsole::setFontSize(int newSize)
// clear console (reset icon sizes, default stylesheet) and re-add the content
float oldPosFactor = 1.0 / ui->messagesWidget->verticalScrollBar()->maximum() * ui->messagesWidget->verticalScrollBar()->value();
- clear(false);
+ clear(/* keep_prompt */ true);
ui->messagesWidget->setHtml(str);
ui->messagesWidget->verticalScrollBar()->setValue(oldPosFactor * ui->messagesWidget->verticalScrollBar()->maximum());
}
-void RPCConsole::clear(bool clearHistory)
+void RPCConsole::clear(bool keep_prompt)
{
ui->messagesWidget->clear();
- if(clearHistory)
- {
- history.clear();
- historyPtr = 0;
- }
- ui->lineEdit->clear();
+ if (!keep_prompt) ui->lineEdit->clear();
ui->lineEdit->setFocus();
// Add smoothly scaled icon images.
@@ -805,7 +869,11 @@ void RPCConsole::clear(bool clearHistory)
}
// Set default style sheet
+#ifdef Q_OS_MAC
+ QFontInfo fixedFontInfo(GUIUtil::fixedPitchFont(/*use_embedded_font=*/true));
+#else
QFontInfo fixedFontInfo(GUIUtil::fixedPitchFont());
+#endif
ui->messagesWidget->document()->setDefaultStyleSheet(
QString(
"table { }"
@@ -818,30 +886,57 @@ void RPCConsole::clear(bool clearHistory)
).arg(fixedFontInfo.family(), QString("%1pt").arg(consoleFontSize))
);
-#ifdef Q_OS_MAC
- QString clsKey = "(⌘)-L";
-#else
- QString clsKey = "Ctrl-L";
-#endif
-
- message(CMD_REPLY, (tr("Welcome to the %1 RPC console.").arg(PACKAGE_NAME) + "<br>" +
- tr("Use up and down arrows to navigate history, and %1 to clear screen.").arg("<b>"+clsKey+"</b>") + "<br>" +
- tr("Type %1 for an overview of available commands.").arg("<b>help</b>") + "<br>" +
- tr("For more information on using this console type %1.").arg("<b>help-console</b>") +
- "<br><span class=\"secwarning\"><br>" +
- tr("WARNING: Scammers have been active, telling users to type commands here, stealing their wallet contents. Do not use this console without fully understanding the ramifications of a command.") +
- "</span>"),
- true);
+ static const QString welcome_message =
+ /*: RPC console welcome message.
+ Placeholders %7 and %8 are style tags for the warning content, and
+ they are not space separated from the rest of the text intentionally. */
+ tr("Welcome to the %1 RPC console.\n"
+ "Use up and down arrows to navigate history, and %2 to clear screen.\n"
+ "Use %3 and %4 to increase or decrease the font size.\n"
+ "Type %5 for an overview of available commands.\n"
+ "For more information on using this console, type %6.\n"
+ "\n"
+ "%7WARNING: Scammers have been active, telling users to type"
+ " commands here, stealing their wallet contents. Do not use this console"
+ " without fully understanding the ramifications of a command.%8")
+ .arg(PACKAGE_NAME,
+ "<b>" + ui->clearButton->shortcut().toString(QKeySequence::NativeText) + "</b>",
+ "<b>" + ui->fontBiggerButton->shortcut().toString(QKeySequence::NativeText) + "</b>",
+ "<b>" + ui->fontSmallerButton->shortcut().toString(QKeySequence::NativeText) + "</b>",
+ "<b>help</b>",
+ "<b>help-console</b>",
+ "<span class=\"secwarning\">",
+ "<span>");
+
+ message(CMD_REPLY, welcome_message, true);
}
void RPCConsole::keyPressEvent(QKeyEvent *event)
{
- if(windowType() != Qt::Widget && event->key() == Qt::Key_Escape)
- {
+ if (windowType() != Qt::Widget && GUIUtil::IsEscapeOrBack(event->key())) {
close();
}
}
+void RPCConsole::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ ui->clearButton->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/remove")));
+ ui->fontBiggerButton->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/fontbigger")));
+ ui->fontSmallerButton->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/fontsmaller")));
+ ui->promptIcon->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/prompticon")));
+
+ for (int i = 0; ICON_MAPPING[i].url; ++i) {
+ ui->messagesWidget->document()->addResource(
+ QTextDocument::ImageResource,
+ QUrl(ICON_MAPPING[i].url),
+ platformStyle->SingleColorImage(ICON_MAPPING[i].source).scaled(QSize(consoleFontSize * 2, consoleFontSize * 2), Qt::IgnoreAspectRatio, Qt::SmoothTransformation));
+ }
+ }
+
+ QWidget::changeEvent(e);
+}
+
void RPCConsole::message(int category, const QString &message, bool html)
{
QTime time = QTime::currentTime();
@@ -904,57 +999,71 @@ void RPCConsole::setMempoolSize(long numberOfTxs, size_t dynUsage)
void RPCConsole::on_lineEdit_returnPressed()
{
- QString cmd = ui->lineEdit->text();
+ QString cmd = ui->lineEdit->text().trimmed();
- if(!cmd.isEmpty())
- {
- std::string strFilteredCmd;
- try {
- std::string dummy;
- if (!RPCParseCommandLine(nullptr, dummy, cmd.toStdString(), false, &strFilteredCmd)) {
- // Failed to parse command, so we cannot even filter it for the history
- throw std::runtime_error("Invalid command line");
- }
- } catch (const std::exception& e) {
- QMessageBox::critical(this, "Error", QString("Error: ") + QString::fromStdString(e.what()));
- return;
+ if (cmd.isEmpty()) {
+ return;
+ }
+
+ std::string strFilteredCmd;
+ try {
+ std::string dummy;
+ if (!RPCParseCommandLine(nullptr, dummy, cmd.toStdString(), false, &strFilteredCmd)) {
+ // Failed to parse command, so we cannot even filter it for the history
+ throw std::runtime_error("Invalid command line");
}
+ } catch (const std::exception& e) {
+ QMessageBox::critical(this, "Error", QString("Error: ") + QString::fromStdString(e.what()));
+ return;
+ }
- ui->lineEdit->clear();
+ // A special case allows to request shutdown even a long-running command is executed.
+ if (cmd == QLatin1String("stop")) {
+ std::string dummy;
+ RPCExecuteCommandLine(m_node, dummy, cmd.toStdString());
+ return;
+ }
+
+ if (m_is_executing) {
+ return;
+ }
- cmdBeforeBrowsing = QString();
+ ui->lineEdit->clear();
#ifdef ENABLE_WALLET
- WalletModel* wallet_model = ui->WalletSelector->currentData().value<WalletModel*>();
+ WalletModel* wallet_model = ui->WalletSelector->currentData().value<WalletModel*>();
- if (m_last_wallet_model != wallet_model) {
- if (wallet_model) {
- message(CMD_REQUEST, tr("Executing command using \"%1\" wallet").arg(wallet_model->getWalletName()));
- } else {
- message(CMD_REQUEST, tr("Executing command without any wallet"));
- }
- m_last_wallet_model = wallet_model;
+ if (m_last_wallet_model != wallet_model) {
+ if (wallet_model) {
+ message(CMD_REQUEST, tr("Executing command using \"%1\" wallet").arg(wallet_model->getWalletName()));
+ } else {
+ message(CMD_REQUEST, tr("Executing command without any wallet"));
}
-#endif
-
- message(CMD_REQUEST, QString::fromStdString(strFilteredCmd));
- Q_EMIT cmdRequest(cmd, m_last_wallet_model);
-
- cmd = QString::fromStdString(strFilteredCmd);
-
- // Remove command, if already in history
- history.removeOne(cmd);
- // Append command to history
- history.append(cmd);
- // Enforce maximum history size
- while(history.size() > CONSOLE_HISTORY)
- history.removeFirst();
- // Set pointer to end of history
- historyPtr = history.size();
+ m_last_wallet_model = wallet_model;
+ }
+#endif // ENABLE_WALLET
- // Scroll console view to end
- scrollToEnd();
+ message(CMD_REQUEST, QString::fromStdString(strFilteredCmd));
+ //: A console message indicating an entered command is currently being executed.
+ message(CMD_REPLY, tr("Executing…"));
+ m_is_executing = true;
+ Q_EMIT cmdRequest(cmd, m_last_wallet_model);
+
+ cmd = QString::fromStdString(strFilteredCmd);
+
+ // Remove command, if already in history
+ history.removeOne(cmd);
+ // Append command to history
+ history.append(cmd);
+ // Enforce maximum history size
+ while (history.size() > CONSOLE_HISTORY) {
+ history.removeFirst();
}
+ // Set pointer to end of history
+ historyPtr = history.size();
+
+ // Scroll console view to end
+ scrollToEnd();
}
void RPCConsole::browseHistory(int offset)
@@ -984,7 +1093,13 @@ void RPCConsole::startExecutor()
executor->moveToThread(&thread);
// Replies from executor object must go to this object
- connect(executor, &RPCExecutor::reply, this, static_cast<void (RPCConsole::*)(int, const QString&)>(&RPCConsole::message));
+ connect(executor, &RPCExecutor::reply, this, [this](int category, const QString& command) {
+ // Remove "Executing…" message.
+ ui->messagesWidget->undo();
+ message(category, command);
+ scrollToEnd();
+ m_is_executing = false;
+ });
// Requests from this object must go to executor
connect(this, &RPCConsole::cmdRequest, executor, &RPCExecutor::request);
@@ -1027,8 +1142,8 @@ void RPCConsole::on_sldGraphRange_valueChanged(int value)
void RPCConsole::setTrafficGraphRange(int mins)
{
- ui->trafficGraph->setGraphRangeMins(mins);
- ui->lblGraphRange->setText(GUIUtil::formatDurationStr(mins * 60));
+ ui->trafficGraph->setGraphRange(std::chrono::minutes{mins});
+ ui->lblGraphRange->setText(GUIUtil::formatDurationStr(std::chrono::minutes{mins}));
}
void RPCConsole::updateTrafficStats(quint64 totalBytesIn, quint64 totalBytesOut)
@@ -1037,67 +1152,6 @@ void RPCConsole::updateTrafficStats(quint64 totalBytesIn, quint64 totalBytesOut)
ui->lblBytesOut->setText(GUIUtil::formatBytes(totalBytesOut));
}
-void RPCConsole::peerLayoutAboutToChange()
-{
- cachedNodeids.clear();
- for (const QModelIndex& peer : GUIUtil::getEntryData(ui->peerWidget, PeerTableModel::NetNodeId)) {
- const auto stats = peer.data(PeerTableModel::StatsRole).value<CNodeCombinedStats*>();
- cachedNodeids.append(stats->nodeStats.nodeid);
- }
-}
-
-void RPCConsole::peerLayoutChanged()
-{
- if (!clientModel || !clientModel->getPeerTableModel())
- return;
-
- bool fUnselect = false;
- bool fReselect = false;
-
- if (cachedNodeids.empty()) // no node selected yet
- return;
-
- // find the currently selected row
- int selectedRow = -1;
- QModelIndexList selectedModelIndex = ui->peerWidget->selectionModel()->selectedIndexes();
- if (!selectedModelIndex.isEmpty()) {
- selectedRow = selectedModelIndex.first().row();
- }
-
- // check if our detail node has a row in the table (it may not necessarily
- // be at selectedRow since its position can change after a layout change)
- int detailNodeRow = clientModel->getPeerTableModel()->getRowByNodeId(cachedNodeids.first());
-
- if (detailNodeRow < 0)
- {
- // detail node disappeared from table (node disconnected)
- fUnselect = true;
- }
- else
- {
- if (detailNodeRow != selectedRow)
- {
- // detail node moved position
- fUnselect = true;
- fReselect = true;
- }
- }
-
- if (fUnselect && selectedRow >= 0) {
- clearSelectedNode();
- }
-
- if (fReselect)
- {
- for(int i = 0; i < cachedNodeids.size(); i++)
- {
- ui->peerWidget->selectRow(clientModel->getPeerTableModel()->getRowByNodeId(cachedNodeids.at(i)));
- }
- }
-
- updateDetailWidget();
-}
-
void RPCConsole::updateDetailWidget()
{
const QList<QModelIndex> selected_peers = GUIUtil::getEntryData(ui->peerWidget, PeerTableModel::NetNodeId);
@@ -1108,24 +1162,24 @@ void RPCConsole::updateDetailWidget()
}
const auto stats = selected_peers.first().data(PeerTableModel::StatsRole).value<CNodeCombinedStats*>();
// update the detail ui with latest node information
- QString peerAddrDetails(QString::fromStdString(stats->nodeStats.addrName) + " ");
- peerAddrDetails += tr("(peer id: %1)").arg(QString::number(stats->nodeStats.nodeid));
+ QString peerAddrDetails(QString::fromStdString(stats->nodeStats.m_addr_name) + " ");
+ peerAddrDetails += tr("(peer: %1)").arg(QString::number(stats->nodeStats.nodeid));
if (!stats->nodeStats.addrLocal.empty())
peerAddrDetails += "<br />" + tr("via %1").arg(QString::fromStdString(stats->nodeStats.addrLocal));
ui->peerHeading->setText(peerAddrDetails);
ui->peerServices->setText(GUIUtil::formatServicesStr(stats->nodeStats.nServices));
- ui->peerRelayTxes->setText(stats->nodeStats.fRelayTxes ? "Yes" : "No");
+ ui->peerRelayTxes->setText(stats->nodeStats.fRelayTxes ? ts.yes : ts.no);
QString bip152_hb_settings;
- if (stats->nodeStats.m_bip152_highbandwidth_to) bip152_hb_settings += "To";
- if (stats->nodeStats.m_bip152_highbandwidth_from) bip152_hb_settings += (bip152_hb_settings == "" ? "From" : "/From");
- if (bip152_hb_settings == "") bip152_hb_settings = "No";
+ if (stats->nodeStats.m_bip152_highbandwidth_to) bip152_hb_settings = ts.to;
+ if (stats->nodeStats.m_bip152_highbandwidth_from) bip152_hb_settings += (bip152_hb_settings.isEmpty() ? ts.from : QLatin1Char('/') + ts.from);
+ if (bip152_hb_settings.isEmpty()) bip152_hb_settings = ts.no;
ui->peerHighBandwidth->setText(bip152_hb_settings);
- const int64_t time_now{GetSystemTimeInSeconds()};
- ui->peerConnTime->setText(GUIUtil::formatDurationStr(time_now - stats->nodeStats.nTimeConnected));
- ui->peerLastBlock->setText(TimeDurationField(time_now, stats->nodeStats.nLastBlockTime));
- ui->peerLastTx->setText(TimeDurationField(time_now, stats->nodeStats.nLastTXTime));
- ui->peerLastSend->setText(TimeDurationField(time_now, stats->nodeStats.nLastSend));
- ui->peerLastRecv->setText(TimeDurationField(time_now, stats->nodeStats.nLastRecv));
+ const auto time_now{GetTime<std::chrono::seconds>()};
+ ui->peerConnTime->setText(GUIUtil::formatDurationStr(time_now - stats->nodeStats.m_connected));
+ ui->peerLastBlock->setText(TimeDurationField(time_now, stats->nodeStats.m_last_block_time));
+ ui->peerLastTx->setText(TimeDurationField(time_now, stats->nodeStats.m_last_tx_time));
+ ui->peerLastSend->setText(TimeDurationField(time_now, stats->nodeStats.m_last_send));
+ ui->peerLastRecv->setText(TimeDurationField(time_now, stats->nodeStats.m_last_recv));
ui->peerBytesSent->setText(GUIUtil::formatBytes(stats->nodeStats.nSendBytes));
ui->peerBytesRecv->setText(GUIUtil::formatBytes(stats->nodeStats.nRecvBytes));
ui->peerPingTime->setText(GUIUtil::formatPingTime(stats->nodeStats.m_last_ping_time));
@@ -1135,8 +1189,8 @@ void RPCConsole::updateDetailWidget()
ui->peerSubversion->setText(QString::fromStdString(stats->nodeStats.cleanSubVer));
ui->peerConnectionType->setText(GUIUtil::ConnectionTypeToQString(stats->nodeStats.m_conn_type, /* prepend_direction */ true));
ui->peerNetwork->setText(GUIUtil::NetworkToQString(stats->nodeStats.m_network));
- if (stats->nodeStats.m_permissionFlags == PF_NONE) {
- ui->peerPermissions->setText(tr("N/A"));
+ if (stats->nodeStats.m_permissionFlags == NetPermissionFlags::None) {
+ ui->peerPermissions->setText(ts.na);
} else {
QStringList permissions;
for (const auto& permission : NetPermissions::ToStrings(stats->nodeStats.m_permissionFlags)) {
@@ -1144,25 +1198,28 @@ void RPCConsole::updateDetailWidget()
}
ui->peerPermissions->setText(permissions.join(" & "));
}
- ui->peerMappedAS->setText(stats->nodeStats.m_mapped_as != 0 ? QString::number(stats->nodeStats.m_mapped_as) : tr("N/A"));
+ ui->peerMappedAS->setText(stats->nodeStats.m_mapped_as != 0 ? QString::number(stats->nodeStats.m_mapped_as) : ts.na);
// This check fails for example if the lock was busy and
// nodeStateStats couldn't be fetched.
if (stats->fNodeStateStatsAvailable) {
// Sync height is init to -1
- if (stats->nodeStateStats.nSyncHeight > -1)
+ if (stats->nodeStateStats.nSyncHeight > -1) {
ui->peerSyncHeight->setText(QString("%1").arg(stats->nodeStateStats.nSyncHeight));
- else
- ui->peerSyncHeight->setText(tr("Unknown"));
-
+ } else {
+ ui->peerSyncHeight->setText(ts.unknown);
+ }
// Common height is init to -1
- if (stats->nodeStateStats.nCommonHeight > -1)
+ if (stats->nodeStateStats.nCommonHeight > -1) {
ui->peerCommonHeight->setText(QString("%1").arg(stats->nodeStateStats.nCommonHeight));
- else
- ui->peerCommonHeight->setText(tr("Unknown"));
-
+ } else {
+ ui->peerCommonHeight->setText(ts.unknown);
+ }
ui->peerHeight->setText(QString::number(stats->nodeStateStats.m_starting_height));
ui->peerPingWait->setText(GUIUtil::formatPingTime(stats->nodeStateStats.m_ping_wait));
+ ui->peerAddrRelayEnabled->setText(stats->nodeStateStats.m_addr_relay_enabled ? ts.yes : ts.no);
+ ui->peerAddrProcessed->setText(QString::number(stats->nodeStateStats.m_addr_processed));
+ ui->peerAddrRateLimited->setText(QString::number(stats->nodeStateStats.m_addr_rate_limited));
}
ui->peersTabRightPanel->show();
@@ -1186,6 +1243,11 @@ void RPCConsole::showEvent(QShowEvent *event)
void RPCConsole::hideEvent(QHideEvent *event)
{
+ // It is too late to call QHeaderView::saveState() in ~RPCConsole(), as all of
+ // the columns of QTableView child widgets will have zero width at that moment.
+ m_peer_widget_header_state = ui->peerWidget->horizontalHeader()->saveState();
+ m_banlist_widget_header_state = ui->banlistWidget->horizontalHeader()->saveState();
+
QWidget::hideEvent(event);
if (!clientModel || !clientModel->getPeerTableModel())
diff --git a/src/qt/rpcconsole.h b/src/qt/rpcconsole.h
index 27d4c42eb4..528e2bef7d 100644
--- a/src/qt/rpcconsole.h
+++ b/src/qt/rpcconsole.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,9 +10,10 @@
#include <net.h>
-#include <QWidget>
+#include <QByteArray>
#include <QCompleter>
#include <QThread>
+#include <QWidget>
class ClientModel;
class PlatformStyle;
@@ -74,6 +75,7 @@ public:
protected:
virtual bool eventFilter(QObject* obj, QEvent *event) override;
void keyPressEvent(QKeyEvent *) override;
+ void changeEvent(QEvent* e) override;
private Q_SLOTS:
void on_lineEdit_returnPressed();
@@ -99,7 +101,7 @@ private Q_SLOTS:
void updateDetailWidget();
public Q_SLOTS:
- void clear(bool clearHistory = true);
+ void clear(bool keep_prompt = false);
void fontBigger();
void fontSmaller();
void setFontSize(int newSize);
@@ -118,10 +120,6 @@ public Q_SLOTS:
void browseHistory(int offset);
/** Scroll console view to end */
void scrollToEnd();
- /** Handle selection caching before update */
- void peerLayoutAboutToChange();
- /** Handle updated peer information */
- void peerLayoutChanged();
/** Disconnect a selected node on the Peers tab */
void disconnectSelectedNode();
/** Ban a selected node on the Peers tab */
@@ -136,6 +134,11 @@ Q_SIGNALS:
void cmdRequest(const QString &command, const WalletModel* wallet_model);
private:
+ struct TranslatedStrings {
+ const QString yes{tr("Yes")}, no{tr("No")}, to{tr("To")}, from{tr("From")},
+ ban_for{tr("Ban for")}, na{tr("N/A")}, unknown{tr("Unknown")};
+ } const ts;
+
void startExecutor();
void setTrafficGraphRange(int mins);
@@ -164,13 +167,17 @@ private:
QCompleter *autoCompleter = nullptr;
QThread thread;
WalletModel* m_last_wallet_model{nullptr};
+ bool m_is_executing{false};
+ QByteArray m_peer_widget_header_state;
+ QByteArray m_banlist_widget_header_state;
/** Update UI with latest network info from model. */
void updateNetworkState();
/** Helper for the output of a time duration field. Inputs are UNIX epoch times. */
- QString TimeDurationField(uint64_t time_now, uint64_t time_at_event) const {
- return time_at_event ? GUIUtil::formatDurationStr(time_now - time_at_event) : tr("Never");
+ QString TimeDurationField(std::chrono::seconds time_now, std::chrono::seconds time_at_event) const
+ {
+ return time_at_event.count() ? GUIUtil::formatDurationStr(time_now - time_at_event) : tr("Never");
}
private Q_SLOTS:
diff --git a/src/qt/sendcoinsdialog.cpp b/src/qt/sendcoinsdialog.cpp
index 611f3584c3..579ef0c3fd 100644
--- a/src/qt/sendcoinsdialog.cpp
+++ b/src/qt/sendcoinsdialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -24,17 +24,24 @@
#include <node/ui_interface.h>
#include <policy/fees.h>
#include <txmempool.h>
+#include <validation.h>
#include <wallet/coincontrol.h>
#include <wallet/fees.h>
#include <wallet/wallet.h>
-#include <validation.h>
+#include <array>
+#include <chrono>
+#include <fstream>
+#include <memory>
#include <QFontMetrics>
#include <QScrollBar>
#include <QSettings>
#include <QTextDocument>
+using wallet::CCoinControl;
+using wallet::DEFAULT_PAY_TX_FEE;
+
static constexpr std::array confTargets{2, 4, 6, 12, 24, 48, 144, 504, 1008};
int getConfTargetForIndex(int index) {
if (index+1 > static_cast<int>(confTargets.size())) {
@@ -129,6 +136,8 @@ SendCoinsDialog::SendCoinsDialog(const PlatformStyle *_platformStyle, QWidget *p
ui->customFee->SetAllowEmpty(false);
ui->customFee->setValue(settings.value("nTransactionFee").toLongLong());
minimizeFeeSection(settings.value("fFeeSectionMinimized").toBool());
+
+ GUIUtil::ExceptionSafeConnect(ui->sendButton, &QPushButton::clicked, this, &SendCoinsDialog::sendButtonClicked);
}
void SendCoinsDialog::setClientModel(ClientModel *_clientModel)
@@ -171,15 +180,15 @@ void SendCoinsDialog::setModel(WalletModel *_model)
for (const int n : confTargets) {
ui->confTargetSelector->addItem(tr("%1 (%2 blocks)").arg(GUIUtil::formatNiceTimeOffset(n*Params().GetConsensus().nPowTargetSpacing)).arg(n));
}
- connect(ui->confTargetSelector, static_cast<void (QComboBox::*)(int)>(&QComboBox::currentIndexChanged), this, &SendCoinsDialog::updateSmartFeeLabel);
- connect(ui->confTargetSelector, static_cast<void (QComboBox::*)(int)>(&QComboBox::currentIndexChanged), this, &SendCoinsDialog::coinControlUpdateLabels);
+ connect(ui->confTargetSelector, qOverload<int>(&QComboBox::currentIndexChanged), this, &SendCoinsDialog::updateSmartFeeLabel);
+ connect(ui->confTargetSelector, qOverload<int>(&QComboBox::currentIndexChanged), this, &SendCoinsDialog::coinControlUpdateLabels);
#if (QT_VERSION >= QT_VERSION_CHECK(5, 15, 0))
connect(ui->groupFee, &QButtonGroup::idClicked, this, &SendCoinsDialog::updateFeeSectionControls);
connect(ui->groupFee, &QButtonGroup::idClicked, this, &SendCoinsDialog::coinControlUpdateLabels);
#else
- connect(ui->groupFee, static_cast<void (QButtonGroup::*)(int)>(&QButtonGroup::buttonClicked), this, &SendCoinsDialog::updateFeeSectionControls);
- connect(ui->groupFee, static_cast<void (QButtonGroup::*)(int)>(&QButtonGroup::buttonClicked), this, &SendCoinsDialog::coinControlUpdateLabels);
+ connect(ui->groupFee, qOverload<int>(&QButtonGroup::buttonClicked), this, &SendCoinsDialog::updateFeeSectionControls);
+ connect(ui->groupFee, qOverload<int>(&QButtonGroup::buttonClicked), this, &SendCoinsDialog::coinControlUpdateLabels);
#endif
connect(ui->customFee, &BitcoinAmountField::valueChanged, this, &SendCoinsDialog::coinControlUpdateLabels);
@@ -197,7 +206,18 @@ void SendCoinsDialog::setModel(WalletModel *_model)
// set default rbf checkbox state
ui->optInRBF->setCheckState(Qt::Checked);
- if (model->wallet().privateKeysDisabled()) {
+ if (model->wallet().hasExternalSigner()) {
+ //: "device" usually means a hardware wallet.
+ ui->sendButton->setText(tr("Sign on device"));
+ if (gArgs.GetArg("-signer", "") != "") {
+ ui->sendButton->setEnabled(true);
+ ui->sendButton->setToolTip(tr("Connect your hardware wallet first."));
+ } else {
+ ui->sendButton->setEnabled(false);
+ //: "External signer" means using devices such as hardware wallets.
+ ui->sendButton->setToolTip(tr("Set external signer script path in Options -> Wallet"));
+ }
+ } else if (model->wallet().privateKeysDisabled()) {
ui->sendButton->setText(tr("Cr&eate Unsigned"));
ui->sendButton->setToolTip(tr("Creates a Partially Signed Bitcoin Transaction (PSBT) for use with e.g. an offline %1 wallet, or a PSBT-compatible hardware wallet.").arg(PACKAGE_NAME));
}
@@ -266,10 +286,10 @@ bool SendCoinsDialog::PrepareSendText(QString& question_string, QString& informa
}
// prepare transaction for getting txFee earlier
- m_current_transaction = MakeUnique<WalletModelTransaction>(recipients);
+ m_current_transaction = std::make_unique<WalletModelTransaction>(recipients);
WalletModel::SendCoinsReturn prepareStatus;
- updateCoinControlState(*m_coin_control);
+ updateCoinControlState();
prepareStatus = model->prepareTransaction(*m_current_transaction, *m_coin_control);
@@ -311,16 +331,22 @@ bool SendCoinsDialog::PrepareSendText(QString& question_string, QString& informa
formatted.append(recipientElement);
}
- if (model->wallet().privateKeysDisabled()) {
- question_string.append(tr("Do you want to draft this transaction?"));
- } else {
- question_string.append(tr("Are you sure you want to send?"));
- }
-
+ /*: Message displayed when attempting to create a transaction. Cautionary text to prompt the user to verify
+ that the displayed transaction details represent the transaction the user intends to create. */
+ question_string.append(tr("Do you want to create this transaction?"));
question_string.append("<br /><span style='font-size:10pt;'>");
- if (model->wallet().privateKeysDisabled()) {
+ if (model->wallet().privateKeysDisabled() && !model->wallet().hasExternalSigner()) {
+ /*: Text to inform a user attempting to create a transaction of their current options. At this stage,
+ a user can only create a PSBT. This string is displayed when private keys are disabled and an external
+ signer is not available. */
question_string.append(tr("Please, review your transaction proposal. This will produce a Partially Signed Bitcoin Transaction (PSBT) which you can save or copy and then sign with e.g. an offline %1 wallet, or a PSBT-compatible hardware wallet.").arg(PACKAGE_NAME));
+ } else if (model->getOptionsModel()->getEnablePSBTControls()) {
+ /*: Text to inform a user attempting to create a transaction of their current options. At this stage,
+ a user can send their transaction or create a PSBT. This string is displayed when both private keys
+ and PSBT controls are enabled. */
+ question_string.append(tr("Please, review your transaction. You can create and send this transaction or create a Partially Signed Bitcoin Transaction (PSBT), which you can save or copy and then sign with, e.g., an offline %1 wallet, or a PSBT-compatible hardware wallet.").arg(PACKAGE_NAME));
} else {
+ /*: Text to prompt a user to review the details of the transaction they are attempting to send. */
question_string.append(tr("Please, review your transaction."));
}
question_string.append("</span>%1");
@@ -366,7 +392,7 @@ bool SendCoinsDialog::PrepareSendText(QString& question_string, QString& informa
if (formatted.size() > 1) {
question_string = question_string.arg("");
- informative_text = tr("To review recipient list click \"Show Details...\"");
+ informative_text = tr("To review recipient list click \"Show Details…\"");
detailed_text = formatted.join("\n\n");
} else {
question_string = question_string.arg("<br /><br />" + formatted.at(0));
@@ -375,7 +401,7 @@ bool SendCoinsDialog::PrepareSendText(QString& question_string, QString& informa
return true;
}
-void SendCoinsDialog::on_sendButton_clicked()
+void SendCoinsDialog::sendButtonClicked([[maybe_unused]] bool checked)
{
if(!model || !model->getOptionsModel())
return;
@@ -384,26 +410,77 @@ void SendCoinsDialog::on_sendButton_clicked()
if (!PrepareSendText(question_string, informative_text, detailed_text)) return;
assert(m_current_transaction);
- const QString confirmation = model->wallet().privateKeysDisabled() ? tr("Confirm transaction proposal") : tr("Confirm send coins");
- const QString confirmButtonText = model->wallet().privateKeysDisabled() ? tr("Create Unsigned") : tr("Send");
- SendConfirmationDialog confirmationDialog(confirmation, question_string, informative_text, detailed_text, SEND_CONFIRM_DELAY, confirmButtonText, this);
- confirmationDialog.exec();
- QMessageBox::StandardButton retval = static_cast<QMessageBox::StandardButton>(confirmationDialog.result());
+ const QString confirmation = tr("Confirm send coins");
+ auto confirmationDialog = new SendConfirmationDialog(confirmation, question_string, informative_text, detailed_text, SEND_CONFIRM_DELAY, !model->wallet().privateKeysDisabled(), model->getOptionsModel()->getEnablePSBTControls(), this);
+ confirmationDialog->setAttribute(Qt::WA_DeleteOnClose);
+ // TODO: Replace QDialog::exec() with safer QDialog::show().
+ const auto retval = static_cast<QMessageBox::StandardButton>(confirmationDialog->exec());
- if(retval != QMessageBox::Yes)
+ if(retval != QMessageBox::Yes && retval != QMessageBox::Save)
{
fNewRecipientAllowed = true;
return;
}
bool send_failure = false;
- if (model->wallet().privateKeysDisabled()) {
+ if (retval == QMessageBox::Save) {
CMutableTransaction mtx = CMutableTransaction{*(m_current_transaction->getWtx())};
PartiallySignedTransaction psbtx(mtx);
bool complete = false;
- const TransactionError err = model->wallet().fillPSBT(SIGHASH_ALL, false /* sign */, true /* bip32derivs */, psbtx, complete, nullptr);
+ // Always fill without signing first. This prevents an external signer
+ // from being called prematurely and is not expensive.
+ TransactionError err = model->wallet().fillPSBT(SIGHASH_ALL, false /* sign */, true /* bip32derivs */, nullptr, psbtx, complete);
assert(!complete);
assert(err == TransactionError::OK);
+ if (model->wallet().hasExternalSigner()) {
+ try {
+ err = model->wallet().fillPSBT(SIGHASH_ALL, true /* sign */, true /* bip32derivs */, nullptr, psbtx, complete);
+ } catch (const std::runtime_error& e) {
+ QMessageBox::critical(nullptr, tr("Sign failed"), e.what());
+ send_failure = true;
+ return;
+ }
+ if (err == TransactionError::EXTERNAL_SIGNER_NOT_FOUND) {
+ //: "External signer" means using devices such as hardware wallets.
+ QMessageBox::critical(nullptr, tr("External signer not found"), "External signer not found");
+ send_failure = true;
+ return;
+ }
+ if (err == TransactionError::EXTERNAL_SIGNER_FAILED) {
+ //: "External signer" means using devices such as hardware wallets.
+ QMessageBox::critical(nullptr, tr("External signer failure"), "External signer failure");
+ send_failure = true;
+ return;
+ }
+ if (err != TransactionError::OK) {
+ tfm::format(std::cerr, "Failed to sign PSBT");
+ processSendCoinsReturn(WalletModel::TransactionCreationFailed);
+ send_failure = true;
+ return;
+ }
+ // fillPSBT does not always properly finalize
+ complete = FinalizeAndExtractPSBT(psbtx, mtx);
+ }
+
+ // Broadcast transaction if complete (even with an external signer this
+ // is not always the case, e.g. in a multisig wallet).
+ if (complete) {
+ const CTransactionRef tx = MakeTransactionRef(mtx);
+ m_current_transaction->setWtx(tx);
+ WalletModel::SendCoinsReturn sendStatus = model->sendCoins(*m_current_transaction);
+ // process sendStatus and on error generate message shown to user
+ processSendCoinsReturn(sendStatus);
+
+ if (sendStatus.status == WalletModel::OK) {
+ Q_EMIT coinsSent(m_current_transaction->getWtx()->GetHash());
+ } else {
+ send_failure = true;
+ }
+ return;
+ }
+
+ // Copy PSBT to clipboard and offer to save
+ assert(!complete);
// Serialize the PSBT
CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
ssTx << psbtx;
@@ -430,11 +507,12 @@ void SendCoinsDialog::on_sendButton_clicked()
fileNameSuggestion.append(".psbt");
QString filename = GUIUtil::getSaveFileName(this,
tr("Save Transaction Data"), fileNameSuggestion,
- tr("Partially Signed Transaction (Binary) (*.psbt)"), &selectedFilter);
+ //: Expanded name of the binary PSBT file format. See: BIP 174.
+ tr("Partially Signed Transaction (Binary)") + QLatin1String(" (*.psbt)"), &selectedFilter);
if (filename.isEmpty()) {
return;
}
- std::ofstream out(filename.toLocal8Bit().data());
+ std::ofstream out{filename.toLocal8Bit().data(), std::ofstream::out | std::ofstream::binary};
out << ssTx.str();
out.close();
Q_EMIT message(tr("PSBT saved"), "PSBT saved to disk", CClientUIInterface::MSG_INFORMATION);
@@ -444,8 +522,9 @@ void SendCoinsDialog::on_sendButton_clicked()
break;
default:
assert(false);
- }
+ } // msgBox.exec()
} else {
+ assert(!model->wallet().privateKeysDisabled());
// now send the prepared transaction
WalletModel::SendCoinsReturn sendStatus = model->sendCoins(*m_current_transaction);
// process sendStatus and on error generate message shown to user
@@ -611,7 +690,9 @@ void SendCoinsDialog::setBalance(const interfaces::WalletBalances& balances)
if(model && model->getOptionsModel())
{
CAmount balance = balances.balance;
- if (model->wallet().privateKeysDisabled()) {
+ if (model->wallet().hasExternalSigner()) {
+ ui->labelBalanceName->setText(tr("External balance:"));
+ } else if (model->wallet().privateKeysDisabled()) {
balance = balances.watch_only_balance;
ui->labelBalanceName->setText(tr("Watch-only balance:"));
}
@@ -695,7 +776,7 @@ void SendCoinsDialog::on_buttonMinimizeFee_clicked()
void SendCoinsDialog::useAvailableBalance(SendCoinsEntry* entry)
{
// Include watch-only for wallets without private key
- m_coin_control->fAllowWatchOnly = model->wallet().privateKeysDisabled();
+ m_coin_control->fAllowWatchOnly = model->wallet().privateKeysDisabled() && !model->wallet().hasExternalSigner();
// Calculate available amount to send.
CAmount amount = model->wallet().getAvailableBalance(*m_coin_control);
@@ -734,23 +815,23 @@ void SendCoinsDialog::updateFeeMinimizedLabel()
if (ui->radioSmartFee->isChecked())
ui->labelFeeMinimized->setText(ui->labelSmartFee->text());
else {
- ui->labelFeeMinimized->setText(BitcoinUnits::formatWithUnit(model->getOptionsModel()->getDisplayUnit(), ui->customFee->value()) + "/kB");
+ ui->labelFeeMinimized->setText(BitcoinUnits::formatWithUnit(model->getOptionsModel()->getDisplayUnit(), ui->customFee->value()) + "/kvB");
}
}
-void SendCoinsDialog::updateCoinControlState(CCoinControl& ctrl)
+void SendCoinsDialog::updateCoinControlState()
{
if (ui->radioCustomFee->isChecked()) {
- ctrl.m_feerate = CFeeRate(ui->customFee->value());
+ m_coin_control->m_feerate = CFeeRate(ui->customFee->value());
} else {
- ctrl.m_feerate.reset();
+ m_coin_control->m_feerate.reset();
}
// Avoid using global defaults when sending money from the GUI
// Either custom fee will be used or if not selected, the confirmation target from dropdown box
- ctrl.m_confirm_target = getConfTargetForIndex(ui->confTargetSelector->currentIndex());
- ctrl.m_signal_bip125_rbf = ui->optInRBF->isChecked();
+ m_coin_control->m_confirm_target = getConfTargetForIndex(ui->confTargetSelector->currentIndex());
+ m_coin_control->m_signal_bip125_rbf = ui->optInRBF->isChecked();
// Include watch-only for wallets without private key
- ctrl.fAllowWatchOnly = model->wallet().privateKeysDisabled();
+ m_coin_control->fAllowWatchOnly = model->wallet().privateKeysDisabled() && !model->wallet().hasExternalSigner();
}
void SendCoinsDialog::updateNumberOfBlocks(int count, const QDateTime& blockDate, double nVerificationProgress, bool headers, SynchronizationState sync_state) {
@@ -763,13 +844,13 @@ void SendCoinsDialog::updateSmartFeeLabel()
{
if(!model || !model->getOptionsModel())
return;
- updateCoinControlState(*m_coin_control);
+ updateCoinControlState();
m_coin_control->m_feerate.reset(); // Explicitly use only fee estimation rate for smart fee labels
int returned_target;
FeeReason reason;
CFeeRate feeRate = CFeeRate(model->wallet().getMinimumFee(1000, *m_coin_control, &returned_target, &reason));
- ui->labelSmartFee->setText(BitcoinUnits::formatWithUnit(model->getOptionsModel()->getDisplayUnit(), feeRate.GetFeePerK()) + "/kB");
+ ui->labelSmartFee->setText(BitcoinUnits::formatWithUnit(model->getOptionsModel()->getDisplayUnit(), feeRate.GetFeePerK()) + "/kvB");
if (reason == FeeReason::FALLBACK) {
ui->labelSmartFee2->show(); // (Smart fee not initialized yet. This usually takes a few blocks...)
@@ -837,8 +918,9 @@ void SendCoinsDialog::coinControlFeatureChanged(bool checked)
{
ui->frameCoinControl->setVisible(checked);
- if (!checked && model) // coin control features disabled
- m_coin_control->SetNull();
+ if (!checked && model) { // coin control features disabled
+ m_coin_control = std::make_unique<CCoinControl>();
+ }
coinControlUpdateLabels();
}
@@ -846,9 +928,9 @@ void SendCoinsDialog::coinControlFeatureChanged(bool checked)
// Coin Control: button inputs -> show actual coin control dialog
void SendCoinsDialog::coinControlButtonClicked()
{
- CoinControlDialog dlg(*m_coin_control, model, platformStyle);
- dlg.exec();
- coinControlUpdateLabels();
+ auto dlg = new CoinControlDialog(*m_coin_control, model, platformStyle);
+ connect(dlg, &QDialog::finished, this, &SendCoinsDialog::coinControlUpdateLabels);
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
// Coin Control: checkbox custom change address
@@ -926,7 +1008,7 @@ void SendCoinsDialog::coinControlUpdateLabels()
if (!model || !model->getOptionsModel())
return;
- updateCoinControlState(*m_coin_control);
+ updateCoinControlState();
// set pay amounts
CoinControlDialog::payAmounts.clear();
@@ -962,8 +1044,8 @@ void SendCoinsDialog::coinControlUpdateLabels()
}
}
-SendConfirmationDialog::SendConfirmationDialog(const QString& title, const QString& text, const QString& informative_text, const QString& detailed_text, int _secDelay, const QString& _confirmButtonText, QWidget* parent)
- : QMessageBox(parent), secDelay(_secDelay), confirmButtonText(_confirmButtonText)
+SendConfirmationDialog::SendConfirmationDialog(const QString& title, const QString& text, const QString& informative_text, const QString& detailed_text, int _secDelay, bool enable_send, bool always_show_unsigned, QWidget* parent)
+ : QMessageBox(parent), secDelay(_secDelay), m_enable_send(enable_send)
{
setIcon(QMessageBox::Question);
setWindowTitle(title); // On macOS, the window title is ignored (as required by the macOS Guidelines).
@@ -971,26 +1053,28 @@ SendConfirmationDialog::SendConfirmationDialog(const QString& title, const QStri
setInformativeText(informative_text);
setDetailedText(detailed_text);
setStandardButtons(QMessageBox::Yes | QMessageBox::Cancel);
+ if (always_show_unsigned || !enable_send) addButton(QMessageBox::Save);
setDefaultButton(QMessageBox::Cancel);
yesButton = button(QMessageBox::Yes);
if (confirmButtonText.isEmpty()) {
confirmButtonText = yesButton->text();
}
- updateYesButton();
+ m_psbt_button = button(QMessageBox::Save);
+ updateButtons();
connect(&countDownTimer, &QTimer::timeout, this, &SendConfirmationDialog::countDown);
}
int SendConfirmationDialog::exec()
{
- updateYesButton();
- countDownTimer.start(1000);
+ updateButtons();
+ countDownTimer.start(1s);
return QMessageBox::exec();
}
void SendConfirmationDialog::countDown()
{
secDelay--;
- updateYesButton();
+ updateButtons();
if(secDelay <= 0)
{
@@ -998,16 +1082,24 @@ void SendConfirmationDialog::countDown()
}
}
-void SendConfirmationDialog::updateYesButton()
+void SendConfirmationDialog::updateButtons()
{
if(secDelay > 0)
{
yesButton->setEnabled(false);
- yesButton->setText(confirmButtonText + " (" + QString::number(secDelay) + ")");
+ yesButton->setText(confirmButtonText + (m_enable_send ? (" (" + QString::number(secDelay) + ")") : QString("")));
+ if (m_psbt_button) {
+ m_psbt_button->setEnabled(false);
+ m_psbt_button->setText(m_psbt_button_text + " (" + QString::number(secDelay) + ")");
+ }
}
else
{
- yesButton->setEnabled(true);
+ yesButton->setEnabled(m_enable_send);
yesButton->setText(confirmButtonText);
+ if (m_psbt_button) {
+ m_psbt_button->setEnabled(true);
+ m_psbt_button->setText(m_psbt_button_text);
+ }
}
}
diff --git a/src/qt/sendcoinsdialog.h b/src/qt/sendcoinsdialog.h
index 4fc2f57cd6..4a16702756 100644
--- a/src/qt/sendcoinsdialog.h
+++ b/src/qt/sendcoinsdialog.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,12 +12,14 @@
#include <QString>
#include <QTimer>
-class CCoinControl;
class ClientModel;
class PlatformStyle;
class SendCoinsEntry;
class SendCoinsRecipient;
enum class SynchronizationState;
+namespace wallet {
+class CCoinControl;
+} // namespace wallet
namespace Ui {
class SendCoinsDialog;
@@ -62,7 +64,7 @@ private:
Ui::SendCoinsDialog *ui;
ClientModel *clientModel;
WalletModel *model;
- std::unique_ptr<CCoinControl> m_coin_control;
+ std::unique_ptr<wallet::CCoinControl> m_coin_control;
std::unique_ptr<WalletModelTransaction> m_current_transaction;
bool fNewRecipientAllowed;
bool fFeeMinimized;
@@ -76,11 +78,10 @@ private:
// Format confirmation message
bool PrepareSendText(QString& question_string, QString& informative_text, QString& detailed_text);
void updateFeeMinimizedLabel();
- // Update the passed in CCoinControl with state from the GUI
- void updateCoinControlState(CCoinControl& ctrl);
+ void updateCoinControlState();
private Q_SLOTS:
- void on_sendButton_clicked();
+ void sendButtonClicked(bool checked);
void on_buttonChooseFee_clicked();
void on_buttonMinimizeFee_clicked();
void removeEntry(SendCoinsEntry* entry);
@@ -115,18 +116,21 @@ class SendConfirmationDialog : public QMessageBox
Q_OBJECT
public:
- SendConfirmationDialog(const QString& title, const QString& text, const QString& informative_text = "", const QString& detailed_text = "", int secDelay = SEND_CONFIRM_DELAY, const QString& confirmText = "", QWidget* parent = nullptr);
+ SendConfirmationDialog(const QString& title, const QString& text, const QString& informative_text = "", const QString& detailed_text = "", int secDelay = SEND_CONFIRM_DELAY, bool enable_send = true, bool always_show_unsigned = true, QWidget* parent = nullptr);
int exec() override;
private Q_SLOTS:
void countDown();
- void updateYesButton();
+ void updateButtons();
private:
QAbstractButton *yesButton;
+ QAbstractButton *m_psbt_button;
QTimer countDownTimer;
int secDelay;
- QString confirmButtonText;
+ QString confirmButtonText{tr("Send")};
+ bool m_enable_send;
+ QString m_psbt_button_text{tr("Create Unsigned")};
};
#endif // BITCOIN_QT_SENDCOINSDIALOG_H
diff --git a/src/qt/sendcoinsentry.cpp b/src/qt/sendcoinsentry.cpp
index 444dc79a2e..339ac580d8 100644
--- a/src/qt/sendcoinsentry.cpp
+++ b/src/qt/sendcoinsentry.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -97,7 +97,9 @@ void SendCoinsEntry::clear()
ui->payTo->clear();
ui->addAsLabel->clear();
ui->payAmount->clear();
- ui->checkboxSubtractFeeFromAmount->setCheckState(Qt::Unchecked);
+ if (model && model->getOptionsModel()) {
+ ui->checkboxSubtractFeeFromAmount->setChecked(model->getOptionsModel()->getSubFeeFromAmount());
+ }
ui->messageTextLabel->clear();
ui->messageTextLabel->hide();
ui->messageLabel->hide();
@@ -236,6 +238,19 @@ void SendCoinsEntry::updateDisplayUnit()
}
}
+void SendCoinsEntry::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ ui->addressBookButton->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/address-book")));
+ ui->pasteButton->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/editpaste")));
+ ui->deleteButton->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/remove")));
+ ui->deleteButton_is->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/remove")));
+ ui->deleteButton_s->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/remove")));
+ }
+
+ QStackedWidget::changeEvent(e);
+}
+
bool SendCoinsEntry::updateLabel(const QString &address)
{
if(!model)
diff --git a/src/qt/sendcoinsentry.h b/src/qt/sendcoinsentry.h
index 254cc186e2..e8db1e3a5c 100644
--- a/src/qt/sendcoinsentry.h
+++ b/src/qt/sendcoinsentry.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -69,6 +69,9 @@ private Q_SLOTS:
void on_pasteButton_clicked();
void updateDisplayUnit();
+protected:
+ void changeEvent(QEvent* e) override;
+
private:
SendCoinsRecipient recipient;
Ui::SendCoinsEntry *ui;
diff --git a/src/qt/sendcoinsrecipient.h b/src/qt/sendcoinsrecipient.h
index 01135cdfef..787a52b8b3 100644
--- a/src/qt/sendcoinsrecipient.h
+++ b/src/qt/sendcoinsrecipient.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,7 +9,7 @@
#include <config/bitcoin-config.h>
#endif
-#include <amount.h>
+#include <consensus/amount.h>
#include <serialize.h>
#include <string>
diff --git a/src/qt/signverifymessagedialog.cpp b/src/qt/signverifymessagedialog.cpp
index 2e7df60574..74bedbf020 100644
--- a/src/qt/signverifymessagedialog.cpp
+++ b/src/qt/signverifymessagedialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -283,3 +283,19 @@ bool SignVerifyMessageDialog::eventFilter(QObject *object, QEvent *event)
}
return QDialog::eventFilter(object, event);
}
+
+void SignVerifyMessageDialog::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ ui->addressBookButton_SM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/address-book")));
+ ui->pasteButton_SM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/editpaste")));
+ ui->copySignatureButton_SM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/editcopy")));
+ ui->signMessageButton_SM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/edit")));
+ ui->clearButton_SM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/remove")));
+ ui->addressBookButton_VM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/address-book")));
+ ui->verifyMessageButton_VM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/transaction_0")));
+ ui->clearButton_VM->setIcon(platformStyle->SingleColorIcon(QStringLiteral(":/icons/remove")));
+ }
+
+ QDialog::changeEvent(e);
+}
diff --git a/src/qt/signverifymessagedialog.h b/src/qt/signverifymessagedialog.h
index d98cb290a1..1a3708bf8f 100644
--- a/src/qt/signverifymessagedialog.h
+++ b/src/qt/signverifymessagedialog.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -31,6 +31,7 @@ public:
protected:
bool eventFilter(QObject *object, QEvent *event) override;
+ void changeEvent(QEvent* e) override;
private:
Ui::SignVerifyMessageDialog *ui;
diff --git a/src/qt/splashscreen.cpp b/src/qt/splashscreen.cpp
index 2292c01d6a..a4dfffa387 100644
--- a/src/qt/splashscreen.cpp
+++ b/src/qt/splashscreen.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -184,8 +184,8 @@ static void InitMessage(SplashScreen *splash, const std::string &message)
static void ShowProgress(SplashScreen *splash, const std::string &title, int nProgress, bool resume_possible)
{
InitMessage(splash, title + std::string("\n") +
- (resume_possible ? _("(press q to shutdown and continue later)").translated
- : _("press q to shutdown").translated) +
+ (resume_possible ? SplashScreen::tr("(press q to shutdown and continue later)").toStdString()
+ : SplashScreen::tr("press q to shutdown").toStdString()) +
strprintf("\n%d", nProgress) + "%");
}
@@ -194,13 +194,14 @@ void SplashScreen::subscribeToCoreSignals()
// Connect signals to client
m_handler_init_message = m_node->handleInitMessage(std::bind(InitMessage, this, std::placeholders::_1));
m_handler_show_progress = m_node->handleShowProgress(std::bind(ShowProgress, this, std::placeholders::_1, std::placeholders::_2, std::placeholders::_3));
+ m_handler_init_wallet = m_node->handleInitWallet([this]() { handleLoadWallet(); });
}
void SplashScreen::handleLoadWallet()
{
#ifdef ENABLE_WALLET
if (!WalletModel::isWalletEnabled()) return;
- m_handler_load_wallet = m_node->walletClient().handleLoadWallet([this](std::unique_ptr<interfaces::Wallet> wallet) {
+ m_handler_load_wallet = m_node->walletLoader().handleLoadWallet([this](std::unique_ptr<interfaces::Wallet> wallet) {
m_connected_wallet_handlers.emplace_back(wallet->handleShowProgress(std::bind(ShowProgress, this, std::placeholders::_1, std::placeholders::_2, false)));
m_connected_wallets.emplace_back(std::move(wallet));
});
diff --git a/src/qt/splashscreen.h b/src/qt/splashscreen.h
index 386039291c..c14fc521a7 100644
--- a/src/qt/splashscreen.h
+++ b/src/qt/splashscreen.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -66,6 +66,7 @@ private:
bool m_shutdown = false;
std::unique_ptr<interfaces::Handler> m_handler_init_message;
std::unique_ptr<interfaces::Handler> m_handler_show_progress;
+ std::unique_ptr<interfaces::Handler> m_handler_init_wallet;
std::unique_ptr<interfaces::Handler> m_handler_load_wallet;
std::list<std::unique_ptr<interfaces::Wallet>> m_connected_wallets;
std::list<std::unique_ptr<interfaces::Handler>> m_connected_wallet_handlers;
diff --git a/src/qt/test/addressbooktests.cpp b/src/qt/test/addressbooktests.cpp
index 35fcb2b0ca..66637a5dcf 100644
--- a/src/qt/test/addressbooktests.cpp
+++ b/src/qt/test/addressbooktests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -20,10 +20,19 @@
#include <wallet/wallet.h>
#include <walletinitinterface.h>
+#include <chrono>
+
#include <QApplication>
#include <QTimer>
#include <QMessageBox>
+using wallet::AddWallet;
+using wallet::CWallet;
+using wallet::CreateMockWalletDatabase;
+using wallet::RemoveWallet;
+using wallet::WALLET_FLAG_DESCRIPTORS;
+using wallet::WalletContext;
+
namespace
{
@@ -40,7 +49,7 @@ void EditAddressAndSubmit(
dialog->findChild<QLineEdit*>("labelEdit")->setText(label);
dialog->findChild<QValidatedLineEdit*>("addressEdit")->setText(address);
- ConfirmMessage(&warning_text, 5);
+ ConfirmMessage(&warning_text, 5ms);
dialog->accept();
QCOMPARE(warning_text, expected_msg);
}
@@ -60,11 +69,16 @@ void EditAddressAndSubmit(
void TestAddAddressesToSendBook(interfaces::Node& node)
{
TestChain100Setup test;
+ auto wallet_loader = interfaces::MakeWalletLoader(*test.m_node.chain, *Assert(test.m_node.args));
+ test.m_node.wallet_loader = wallet_loader.get();
node.setContext(&test.m_node);
- std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(node.context()->chain.get(), "", CreateMockWalletDatabase());
- wallet->SetupLegacyScriptPubKeyMan();
- bool firstRun;
- wallet->LoadWallet(firstRun);
+ const std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(node.context()->chain.get(), "", gArgs, CreateMockWalletDatabase());
+ wallet->LoadWallet();
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ {
+ LOCK(wallet->cs_wallet);
+ wallet->SetupDescriptorScriptPubKeyMans();
+ }
auto build_address = [&wallet]() {
CKey key;
@@ -110,9 +124,10 @@ void TestAddAddressesToSendBook(interfaces::Node& node)
std::unique_ptr<const PlatformStyle> platformStyle(PlatformStyle::instantiate("other"));
OptionsModel optionsModel;
ClientModel clientModel(node, &optionsModel);
- AddWallet(wallet);
- WalletModel walletModel(interfaces::MakeWallet(wallet), clientModel, platformStyle.get());
- RemoveWallet(wallet, nullopt);
+ WalletContext& context = *node.walletLoader().context();
+ AddWallet(context, wallet);
+ WalletModel walletModel(interfaces::MakeWallet(context, wallet), clientModel, platformStyle.get());
+ RemoveWallet(context, wallet, /* load_on_start= */ std::nullopt);
EditAddressDialog editAddressDialog(EditAddressDialog::NewSendingAddress);
editAddressDialog.setModel(walletModel.getAddressTableModel());
diff --git a/src/qt/test/apptests.cpp b/src/qt/test/apptests.cpp
index 8dffd2f59f..099ac5fcae 100644
--- a/src/qt/test/apptests.cpp
+++ b/src/qt/test/apptests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,7 +12,6 @@
#include <qt/rpcconsole.h>
#include <shutdown.h>
#include <test/util/setup_common.h>
-#include <univalue.h>
#include <validation.h>
#if defined(HAVE_CONFIG_H)
@@ -20,9 +19,11 @@
#endif
#include <QAction>
-#include <QEventLoop>
#include <QLineEdit>
+#include <QRegularExpression>
#include <QScopedPointer>
+#include <QSignalSpy>
+#include <QString>
#include <QTest>
#include <QTextEdit>
#include <QtGlobal>
@@ -30,20 +31,27 @@
#include <QtTest/QtTestGui>
namespace {
+//! Regex find a string group inside of the console output
+QString FindInConsole(const QString& output, const QString& pattern)
+{
+ const QRegularExpression re(pattern);
+ return re.match(output).captured(1);
+}
+
//! Call getblockchaininfo RPC and check first field of JSON output.
void TestRpcCommand(RPCConsole* console)
{
- QEventLoop loop;
QTextEdit* messagesWidget = console->findChild<QTextEdit*>("messagesWidget");
- QObject::connect(messagesWidget, &QTextEdit::textChanged, &loop, &QEventLoop::quit);
QLineEdit* lineEdit = console->findChild<QLineEdit*>("lineEdit");
+ QSignalSpy mw_spy(messagesWidget, &QTextEdit::textChanged);
+ QVERIFY(mw_spy.isValid());
QTest::keyClicks(lineEdit, "getblockchaininfo");
QTest::keyClick(lineEdit, Qt::Key_Return);
- loop.exec();
- QString output = messagesWidget->toPlainText();
- UniValue value;
- value.read(output.right(output.size() - output.lastIndexOf(QChar::ObjectReplacementCharacter) - 1).toStdString());
- QCOMPARE(value["chain"].get_str(), std::string("regtest"));
+ QVERIFY(mw_spy.wait(1000));
+ QCOMPARE(mw_spy.count(), 4);
+ const QString output = messagesWidget->toPlainText();
+ const QString pattern = QStringLiteral("\"chain\": \"(\\w+)\"");
+ QCOMPARE(FindInConsole(output, pattern), QString("regtest"));
}
} // namespace
@@ -64,7 +72,7 @@ void AppTests::appTests()
fs::create_directories([] {
BasicTestingSetup test{CBaseChainParams::REGTEST}; // Create a temp data directory to backup the gui settings to
- return GetDataDir() / "blocks";
+ return gArgs.GetDataDirNet() / "blocks";
}());
qRegisterMetaType<interfaces::BlockAndHeaderTipInfo>("interfaces::BlockAndHeaderTipInfo");
@@ -84,11 +92,6 @@ void AppTests::appTests()
// Reset global state to avoid interfering with later tests.
LogInstance().DisconnectTestLogger();
AbortShutdown();
- {
- LOCK(cs_main);
- UnloadBlockIndex(/* mempool */ nullptr, g_chainman);
- g_chainman.Reset();
- }
}
//! Entry point for BitcoinGUI tests.
diff --git a/src/qt/test/compattests.cpp b/src/qt/test/compattests.cpp
deleted file mode 100644
index c76dee5091..0000000000
--- a/src/qt/test/compattests.cpp
+++ /dev/null
@@ -1,25 +0,0 @@
-// Copyright (c) 2016-2019 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#if defined(HAVE_CONFIG_H)
-#include <config/bitcoin-config.h>
-#endif
-
-#include <qt/test/compattests.h>
-
-#include <compat/byteswap.h>
-
-void CompatTests::bswapTests()
-{
- // Sibling in bitcoin/src/test/bswap_tests.cpp
- uint16_t u1 = 0x1234;
- uint32_t u2 = 0x56789abc;
- uint64_t u3 = 0xdef0123456789abc;
- uint16_t e1 = 0x3412;
- uint32_t e2 = 0xbc9a7856;
- uint64_t e3 = 0xbc9a78563412f0de;
- QVERIFY(bswap_16(u1) == e1);
- QVERIFY(bswap_32(u2) == e2);
- QVERIFY(bswap_64(u3) == e3);
-}
diff --git a/src/qt/test/compattests.h b/src/qt/test/compattests.h
deleted file mode 100644
index 1af97696b2..0000000000
--- a/src/qt/test/compattests.h
+++ /dev/null
@@ -1,19 +0,0 @@
-// Copyright (c) 2009-2016 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#ifndef BITCOIN_QT_TEST_COMPATTESTS_H
-#define BITCOIN_QT_TEST_COMPATTESTS_H
-
-#include <QObject>
-#include <QTest>
-
-class CompatTests : public QObject
-{
- Q_OBJECT
-
-private Q_SLOTS:
- void bswapTests();
-};
-
-#endif // BITCOIN_QT_TEST_COMPATTESTS_H
diff --git a/src/qt/test/rpcnestedtests.cpp b/src/qt/test/rpcnestedtests.cpp
index 0d9928d363..669a05fe0f 100644
--- a/src/qt/test/rpcnestedtests.cpp
+++ b/src/qt/test/rpcnestedtests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,8 +11,10 @@
#include <univalue.h>
#include <util/system.h>
-#include <QDir>
-#include <QtGlobal>
+#include <QTest>
+
+#include <string>
+#include <stdexcept>
static RPCHelpMan rpcNestedTest_rpc()
{
@@ -24,23 +26,25 @@ static RPCHelpMan rpcNestedTest_rpc()
{"arg2", RPCArg::Type::STR, RPCArg::Optional::OMITTED, ""},
{"arg3", RPCArg::Type::STR, RPCArg::Optional::OMITTED, ""},
},
- {},
+ RPCResult{RPCResult::Type::ANY, "", ""},
RPCExamples{""},
- [](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue {
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue {
return request.params.write(0, 0);
},
};
}
static const CRPCCommand vRPCCommands[] = {
- {"test", &rpcNestedTest_rpc},
+ {"rpcNestedTest", &rpcNestedTest_rpc},
};
void RPCNestedTests::rpcNestedTests()
{
// do some test setup
// could be moved to a more generic place when we add more tests on QT level
- tableRPC.appendCommand("rpcNestedTest", &vRPCCommands[0]);
+ for (const auto& c : vRPCCommands) {
+ tableRPC.appendCommand(c.name, &c);
+ }
TestingSetup test;
m_node.setContext(&test.m_node);
@@ -68,13 +72,13 @@ void RPCNestedTests::rpcNestedTests()
RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo "); //whitespace at the end will be tolerated
QVERIFY(result.substr(0,1) == "{");
- (RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo()[\"chain\"]")); //Quote path identifier are allowed, but look after a child containing the quotes in the key
+ RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo()[\"chain\"]"); //Quote path identifier are allowed, but look after a child containing the quotes in the key
QVERIFY(result == "null");
- (RPCConsole::RPCExecuteCommandLine(m_node, result, "createrawtransaction [] {} 0")); //parameter not in brackets are allowed
- (RPCConsole::RPCExecuteCommandLine(m_node, result2, "createrawtransaction([],{},0)")); //parameter in brackets are allowed
+ RPCConsole::RPCExecuteCommandLine(m_node, result, "createrawtransaction [] {} 0"); //parameter not in brackets are allowed
+ RPCConsole::RPCExecuteCommandLine(m_node, result2, "createrawtransaction([],{},0)"); //parameter in brackets are allowed
QVERIFY(result == result2);
- (RPCConsole::RPCExecuteCommandLine(m_node, result2, "createrawtransaction( [], {} , 0 )")); //whitespace between parameters is allowed
+ RPCConsole::RPCExecuteCommandLine(m_node, result2, "createrawtransaction( [], {} , 0 )"); //whitespace between parameters is allowed
QVERIFY(result == result2);
RPCConsole::RPCExecuteCommandLine(m_node, result, "getblock(getbestblockhash())[tx][0]", &filtered);
@@ -123,11 +127,10 @@ void RPCNestedTests::rpcNestedTests()
RPCConsole::RPCExecuteCommandLine(m_node, result, "rpcNestedTest( abc , cba )");
QVERIFY(result == "[\"abc\",\"cba\"]");
- // do the QVERIFY_EXCEPTION_THROWN checks only with Qt5.3 and higher (QVERIFY_EXCEPTION_THROWN was introduced in Qt5.3)
QVERIFY_EXCEPTION_THROWN(RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo() .\n"), std::runtime_error); //invalid syntax
QVERIFY_EXCEPTION_THROWN(RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo() getblockchaininfo()"), std::runtime_error); //invalid syntax
- (RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo(")); //tolerate non closing brackets if we have no arguments
- (RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo()()()")); //tolerate non command brackets
+ RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo("); //tolerate non closing brackets if we have no arguments
+ RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo()()()"); //tolerate non command brackets
QVERIFY_EXCEPTION_THROWN(RPCConsole::RPCExecuteCommandLine(m_node, result, "getblockchaininfo(True)"), UniValue); //invalid argument
QVERIFY_EXCEPTION_THROWN(RPCConsole::RPCExecuteCommandLine(m_node, result, "a(getblockchaininfo(True))"), UniValue); //method not found
QVERIFY_EXCEPTION_THROWN(RPCConsole::RPCExecuteCommandLine(m_node, result, "rpcNestedTest abc,,abc"), std::runtime_error); //don't tolerate empty arguments when using ,
diff --git a/src/qt/test/test_main.cpp b/src/qt/test/test_main.cpp
index 9ef5fe8fc7..10b7e2ffe7 100644
--- a/src/qt/test/test_main.cpp
+++ b/src/qt/test/test_main.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,12 +6,12 @@
#include <config/bitcoin-config.h>
#endif
+#include <interfaces/init.h>
#include <interfaces/node.h>
#include <qt/bitcoin.h>
#include <qt/test/apptests.h>
#include <qt/test/rpcnestedtests.h>
#include <qt/test/uritests.h>
-#include <qt/test/compattests.h>
#include <test/util/setup_common.h>
#ifdef ENABLE_WALLET
@@ -22,6 +22,7 @@
#include <QApplication>
#include <QObject>
#include <QTest>
+#include <functional>
#if defined(QT_STATICPLUGIN)
#include <QtPlugin>
@@ -34,11 +35,17 @@ Q_IMPORT_PLUGIN(QXcbIntegrationPlugin);
Q_IMPORT_PLUGIN(QWindowsIntegrationPlugin);
#elif defined(QT_QPA_PLATFORM_COCOA)
Q_IMPORT_PLUGIN(QCocoaIntegrationPlugin);
+#elif defined(QT_QPA_PLATFORM_ANDROID)
+Q_IMPORT_PLUGIN(QAndroidPlatformIntegrationPlugin)
#endif
#endif
+using node::NodeContext;
+
const std::function<void(const std::string&)> G_TEST_LOG_FUN{};
+const std::function<std::vector<const char*>()> G_TEST_COMMAND_LINE_ARGUMENTS{};
+
// This is all you need to run all the tests
int main(int argc, char* argv[])
{
@@ -52,8 +59,14 @@ int main(int argc, char* argv[])
BasicTestingSetup dummy{CBaseChainParams::REGTEST};
}
- NodeContext node_context;
- std::unique_ptr<interfaces::Node> node = interfaces::MakeNode(&node_context);
+ std::unique_ptr<interfaces::Init> init = interfaces::MakeGuiInit(argc, argv);
+ gArgs.ForceSetArg("-listen", "0");
+ gArgs.ForceSetArg("-listenonion", "0");
+ gArgs.ForceSetArg("-discover", "0");
+ gArgs.ForceSetArg("-dnsseed", "0");
+ gArgs.ForceSetArg("-fixedseeds", "0");
+ gArgs.ForceSetArg("-upnp", "0");
+ gArgs.ForceSetArg("-natpmp", "0");
bool fInvalid = false;
@@ -63,16 +76,15 @@ int main(int argc, char* argv[])
#if defined(WIN32)
if (getenv("QT_QPA_PLATFORM") == nullptr) _putenv_s("QT_QPA_PLATFORM", "minimal");
#else
- setenv("QT_QPA_PLATFORM", "minimal", /* overwrite */ 0);
+ setenv("QT_QPA_PLATFORM", "minimal", 0 /* overwrite */);
#endif
// Don't remove this, it's needed to access
// QApplication:: and QCoreApplication:: in the tests
BitcoinApplication app;
- app.setNode(*node);
app.setApplicationName("Bitcoin-Qt-test");
+ app.createNode(*init);
- app.node().context()->args = &gArgs; // Make gArgs available in the NodeContext
AppTests app_tests(app);
if (QTest::qExec(&app_tests) != 0) {
fInvalid = true;
@@ -85,10 +97,6 @@ int main(int argc, char* argv[])
if (QTest::qExec(&test3) != 0) {
fInvalid = true;
}
- CompatTests test4;
- if (QTest::qExec(&test4) != 0) {
- fInvalid = true;
- }
#ifdef ENABLE_WALLET
WalletTests test5(app.node());
if (QTest::qExec(&test5) != 0) {
diff --git a/src/qt/test/util.cpp b/src/qt/test/util.cpp
index 987d921f03..635dbcd1c5 100644
--- a/src/qt/test/util.cpp
+++ b/src/qt/test/util.cpp
@@ -2,6 +2,8 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <chrono>
+
#include <QApplication>
#include <QMessageBox>
#include <QPushButton>
@@ -9,7 +11,7 @@
#include <QTimer>
#include <QWidget>
-void ConfirmMessage(QString* text, int msec)
+void ConfirmMessage(QString* text, std::chrono::milliseconds msec)
{
QTimer::singleShot(msec, [text]() {
for (QWidget* widget : QApplication::topLevelWidgets()) {
diff --git a/src/qt/test/util.h b/src/qt/test/util.h
index df5931a032..f50a6b6c61 100644
--- a/src/qt/test/util.h
+++ b/src/qt/test/util.h
@@ -5,7 +5,11 @@
#ifndef BITCOIN_QT_TEST_UTIL_H
#define BITCOIN_QT_TEST_UTIL_H
-#include <QString>
+#include <chrono>
+
+QT_BEGIN_NAMESPACE
+class QString;
+QT_END_NAMESPACE
/**
* Press "Ok" button in message box dialog.
@@ -13,6 +17,6 @@
* @param text - Optionally store dialog text.
* @param msec - Number of milliseconds to pause before triggering the callback.
*/
-void ConfirmMessage(QString* text = nullptr, int msec = 0);
+void ConfirmMessage(QString* text, std::chrono::milliseconds msec);
#endif // BITCOIN_QT_TEST_UTIL_H
diff --git a/src/qt/test/wallettests.cpp b/src/qt/test/wallettests.cpp
index d6d2d0e3df..6ab534764b 100644
--- a/src/qt/test/wallettests.cpp
+++ b/src/qt/test/wallettests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -26,6 +26,7 @@
#include <qt/recentrequeststablemodel.h>
#include <qt/receiverequestdialog.h>
+#include <chrono>
#include <memory>
#include <QAbstractButton>
@@ -39,6 +40,15 @@
#include <QListView>
#include <QDialogButtonBox>
+using wallet::AddWallet;
+using wallet::CWallet;
+using wallet::CreateMockWalletDatabase;
+using wallet::RemoveWallet;
+using wallet::WALLET_FLAG_DESCRIPTORS;
+using wallet::WalletContext;
+using wallet::WalletDescriptor;
+using wallet::WalletRescanReserver;
+
namespace
{
//! Press "Yes" or "Cancel" buttons in modal send confirmation dialog.
@@ -69,11 +79,11 @@ uint256 SendCoins(CWallet& wallet, SendCoinsDialog& sendCoinsDialog, const CTxDe
->findChild<QCheckBox*>("optInRBF")
->setCheckState(rbf ? Qt::Checked : Qt::Unchecked);
uint256 txid;
- boost::signals2::scoped_connection c(wallet.NotifyTransactionChanged.connect([&txid](CWallet*, const uint256& hash, ChangeType status) {
+ boost::signals2::scoped_connection c(wallet.NotifyTransactionChanged.connect([&txid](const uint256& hash, ChangeType status) {
if (status == CT_NEW) txid = hash;
}));
ConfirmSend();
- bool invoked = QMetaObject::invokeMethod(&sendCoinsDialog, "on_sendButton_clicked");
+ bool invoked = QMetaObject::invokeMethod(&sendCoinsDialog, "sendButtonClicked", Q_ARG(bool, false));
assert(invoked);
return txid;
}
@@ -112,7 +122,7 @@ void BumpFee(TransactionView& view, const uint256& txid, bool expectDisabled, st
if (expectError.empty()) {
ConfirmSend(&text, cancel);
} else {
- ConfirmMessage(&text);
+ ConfirmMessage(&text, 0ms);
}
action->trigger();
QVERIFY(text.indexOf(QString::fromStdString(expectError)) != -1);
@@ -138,23 +148,33 @@ void TestGUI(interfaces::Node& node)
for (int i = 0; i < 5; ++i) {
test.CreateAndProcessBlock({}, GetScriptForRawPubKey(test.coinbaseKey.GetPubKey()));
}
+ auto wallet_loader = interfaces::MakeWalletLoader(*test.m_node.chain, *Assert(test.m_node.args));
+ test.m_node.wallet_loader = wallet_loader.get();
node.setContext(&test.m_node);
- std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(node.context()->chain.get(), "", CreateMockWalletDatabase());
- bool firstRun;
- wallet->LoadWallet(firstRun);
+ const std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(node.context()->chain.get(), "", gArgs, CreateMockWalletDatabase());
+ wallet->LoadWallet();
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
{
- auto spk_man = wallet->GetOrCreateLegacyScriptPubKeyMan();
- LOCK2(wallet->cs_wallet, spk_man->cs_KeyStore);
- wallet->SetAddressBook(GetDestinationForKey(test.coinbaseKey.GetPubKey(), wallet->m_default_address_type), "", "receive");
- spk_man->AddKeyPubKey(test.coinbaseKey, test.coinbaseKey.GetPubKey());
- wallet->SetLastBlockProcessed(105, ::ChainActive().Tip()->GetBlockHash());
+ LOCK(wallet->cs_wallet);
+ wallet->SetupDescriptorScriptPubKeyMans();
+
+ // Add the coinbase key
+ FlatSigningProvider provider;
+ std::string error;
+ std::unique_ptr<Descriptor> desc = Parse("combo(" + EncodeSecret(test.coinbaseKey) + ")", provider, error, /* require_checksum=*/ false);
+ assert(desc);
+ WalletDescriptor w_desc(std::move(desc), 0, 0, 1, 1);
+ if (!wallet->AddWalletDescriptor(w_desc, provider, "", false)) assert(false);
+ CTxDestination dest = GetDestinationForKey(test.coinbaseKey.GetPubKey(), wallet->m_default_address_type);
+ wallet->SetAddressBook(dest, "", "receive");
+ wallet->SetLastBlockProcessed(105, node.context()->chainman->ActiveChain().Tip()->GetBlockHash());
}
{
WalletRescanReserver reserver(*wallet);
reserver.reserve();
CWallet::ScanResult result = wallet->ScanForWalletTransactions(Params().GetConsensus().hashGenesisBlock, 0 /* block height */, {} /* max height */, reserver, true /* fUpdate */);
QCOMPARE(result.status, CWallet::ScanResult::SUCCESS);
- QCOMPARE(result.last_scanned_block, ::ChainActive().Tip()->GetBlockHash());
+ QCOMPARE(result.last_scanned_block, node.context()->chainman->ActiveChain().Tip()->GetBlockHash());
QVERIFY(result.last_failed_block.IsNull());
}
wallet->SetBroadcastTransactions(true);
@@ -165,9 +185,10 @@ void TestGUI(interfaces::Node& node)
TransactionView transactionView(platformStyle.get());
OptionsModel optionsModel;
ClientModel clientModel(node, &optionsModel);
- AddWallet(wallet);
- WalletModel walletModel(interfaces::MakeWallet(wallet), clientModel, platformStyle.get());
- RemoveWallet(wallet, nullopt);
+ WalletContext& context = *node.walletLoader().context();
+ AddWallet(context, wallet);
+ WalletModel walletModel(interfaces::MakeWallet(context, wallet), clientModel, platformStyle.get());
+ RemoveWallet(context, wallet, /* load_on_start= */ std::nullopt);
sendCoinsDialog.setModel(&walletModel);
transactionView.setModel(&walletModel);
@@ -225,6 +246,7 @@ void TestGUI(interfaces::Node& node)
int initialRowCount = requestTableModel->rowCount({});
QPushButton* requestPaymentButton = receiveCoinsDialog.findChild<QPushButton*>("receiveButton");
requestPaymentButton->click();
+ QString address;
for (QWidget* widget : QApplication::topLevelWidgets()) {
if (widget->inherits("ReceiveRequestDialog")) {
ReceiveRequestDialog* receiveRequestDialog = qobject_cast<ReceiveRequestDialog*>(widget);
@@ -233,10 +255,13 @@ void TestGUI(interfaces::Node& node)
QString uri = receiveRequestDialog->QObject::findChild<QLabel*>("uri_content")->text();
QCOMPARE(uri.count("bitcoin:"), 2);
QCOMPARE(receiveRequestDialog->QObject::findChild<QLabel*>("address_tag")->text(), QString("Address:"));
+ QVERIFY(address.isEmpty());
+ address = receiveRequestDialog->QObject::findChild<QLabel*>("address_content")->text();
+ QVERIFY(!address.isEmpty());
QCOMPARE(uri.count("amount=0.00000001"), 2);
QCOMPARE(receiveRequestDialog->QObject::findChild<QLabel*>("amount_tag")->text(), QString("Amount:"));
- QCOMPARE(receiveRequestDialog->QObject::findChild<QLabel*>("amount_content")->text(), QString("0.00000001 ") + QString::fromStdString(CURRENCY_UNIT));
+ QCOMPARE(receiveRequestDialog->QObject::findChild<QLabel*>("amount_content")->text(), QString::fromStdString("0.00000001 " + CURRENCY_UNIT));
QCOMPARE(uri.count("label=TEST_LABEL_1"), 2);
QCOMPARE(receiveRequestDialog->QObject::findChild<QLabel*>("label_tag")->text(), QString("Label:"));
@@ -259,12 +284,30 @@ void TestGUI(interfaces::Node& node)
int currentRowCount = requestTableModel->rowCount({});
QCOMPARE(currentRowCount, initialRowCount+1);
+ // Check addition to wallet
+ std::vector<std::string> requests = walletModel.wallet().getAddressReceiveRequests();
+ QCOMPARE(requests.size(), size_t{1});
+ RecentRequestEntry entry;
+ CDataStream{MakeUCharSpan(requests[0]), SER_DISK, CLIENT_VERSION} >> entry;
+ QCOMPARE(entry.nVersion, int{1});
+ QCOMPARE(entry.id, int64_t{1});
+ QVERIFY(entry.date.isValid());
+ QCOMPARE(entry.recipient.address, address);
+ QCOMPARE(entry.recipient.label, QString{"TEST_LABEL_1"});
+ QCOMPARE(entry.recipient.amount, CAmount{1});
+ QCOMPARE(entry.recipient.message, QString{"TEST_MESSAGE_1"});
+ QCOMPARE(entry.recipient.sPaymentRequest, std::string{});
+ QCOMPARE(entry.recipient.authenticatedMerchant, QString{});
+
// Check Remove button
QTableView* table = receiveCoinsDialog.findChild<QTableView*>("recentRequestsView");
table->selectRow(currentRowCount-1);
QPushButton* removeRequestButton = receiveCoinsDialog.findChild<QPushButton*>("removeRequestButton");
removeRequestButton->click();
QCOMPARE(requestTableModel->rowCount({}), currentRowCount-1);
+
+ // Check removal from wallet
+ QCOMPARE(walletModel.wallet().getAddressReceiveRequests().size(), size_t{0});
}
} // namespace
diff --git a/src/qt/trafficgraphwidget.cpp b/src/qt/trafficgraphwidget.cpp
index dabdf9d887..aebd44d5f7 100644
--- a/src/qt/trafficgraphwidget.cpp
+++ b/src/qt/trafficgraphwidget.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,6 +11,7 @@
#include <QColor>
#include <QTimer>
+#include <chrono>
#include <cmath>
#define DESIRED_SAMPLES 800
@@ -22,7 +23,6 @@ TrafficGraphWidget::TrafficGraphWidget(QWidget *parent) :
QWidget(parent),
timer(nullptr),
fMax(0.0f),
- nMins(0),
vSamplesIn(),
vSamplesOut(),
nLastBytesIn(0),
@@ -42,10 +42,7 @@ void TrafficGraphWidget::setClientModel(ClientModel *model)
}
}
-int TrafficGraphWidget::getGraphRangeMins() const
-{
- return nMins;
-}
+std::chrono::minutes TrafficGraphWidget::getGraphRange() const { return m_range; }
void TrafficGraphWidget::paintPath(QPainterPath &path, QQueue<float> &samples)
{
@@ -79,7 +76,7 @@ void TrafficGraphWidget::paintEvent(QPaintEvent *)
int base = floor(log10(fMax));
float val = pow(10.0f, base);
- const QString units = tr("KB/s");
+ const QString units = tr("kB/s");
const float yMarginText = 2.0;
// draw lines
@@ -128,10 +125,10 @@ void TrafficGraphWidget::updateRates()
quint64 bytesIn = clientModel->node().getTotalBytesRecv(),
bytesOut = clientModel->node().getTotalBytesSent();
- float inRate = (bytesIn - nLastBytesIn) / 1024.0f * 1000 / timer->interval();
- float outRate = (bytesOut - nLastBytesOut) / 1024.0f * 1000 / timer->interval();
- vSamplesIn.push_front(inRate);
- vSamplesOut.push_front(outRate);
+ float in_rate_kilobytes_per_sec = static_cast<float>(bytesIn - nLastBytesIn) / timer->interval();
+ float out_rate_kilobytes_per_sec = static_cast<float>(bytesOut - nLastBytesOut) / timer->interval();
+ vSamplesIn.push_front(in_rate_kilobytes_per_sec);
+ vSamplesOut.push_front(out_rate_kilobytes_per_sec);
nLastBytesIn = bytesIn;
nLastBytesOut = bytesOut;
@@ -153,12 +150,12 @@ void TrafficGraphWidget::updateRates()
update();
}
-void TrafficGraphWidget::setGraphRangeMins(int mins)
+void TrafficGraphWidget::setGraphRange(std::chrono::minutes new_range)
{
- nMins = mins;
- int msecsPerSample = nMins * 60 * 1000 / DESIRED_SAMPLES;
+ m_range = new_range;
+ const auto msecs_per_sample{std::chrono::duration_cast<std::chrono::milliseconds>(m_range) / DESIRED_SAMPLES};
timer->stop();
- timer->setInterval(msecsPerSample);
+ timer->setInterval(msecs_per_sample);
clear();
}
diff --git a/src/qt/trafficgraphwidget.h b/src/qt/trafficgraphwidget.h
index 2d8c825815..a40b734540 100644
--- a/src/qt/trafficgraphwidget.h
+++ b/src/qt/trafficgraphwidget.h
@@ -8,6 +8,8 @@
#include <QWidget>
#include <QQueue>
+#include <chrono>
+
class ClientModel;
QT_BEGIN_NAMESPACE
@@ -22,14 +24,14 @@ class TrafficGraphWidget : public QWidget
public:
explicit TrafficGraphWidget(QWidget *parent = nullptr);
void setClientModel(ClientModel *model);
- int getGraphRangeMins() const;
+ std::chrono::minutes getGraphRange() const;
protected:
void paintEvent(QPaintEvent *) override;
public Q_SLOTS:
void updateRates();
- void setGraphRangeMins(int mins);
+ void setGraphRange(std::chrono::minutes new_range);
void clear();
private:
@@ -37,7 +39,7 @@ private:
QTimer *timer;
float fMax;
- int nMins;
+ std::chrono::minutes m_range{0};
QQueue<float> vSamplesIn;
QQueue<float> vSamplesOut;
quint64 nLastBytesIn;
diff --git a/src/qt/transactiondesc.cpp b/src/qt/transactiondesc.cpp
index ece3a9cf48..be5851d627 100644
--- a/src/qt/transactiondesc.cpp
+++ b/src/qt/transactiondesc.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -18,7 +18,6 @@
#include <interfaces/wallet.h>
#include <key_io.h>
#include <policy/policy.h>
-#include <script/script.h>
#include <util/system.h>
#include <validation.h>
#include <wallet/ismine.h>
@@ -26,26 +25,27 @@
#include <stdint.h>
#include <string>
+#include <QLatin1String>
+
+using wallet::ISMINE_ALL;
+using wallet::ISMINE_SPENDABLE;
+using wallet::ISMINE_WATCH_ONLY;
+using wallet::isminetype;
+
QString TransactionDesc::FormatTxStatus(const interfaces::WalletTx& wtx, const interfaces::WalletTxStatus& status, bool inMempool, int numBlocks)
{
- if (!status.is_final)
- {
- if (wtx.tx->nLockTime < LOCKTIME_THRESHOLD)
- return tr("Open for %n more block(s)", "", wtx.tx->nLockTime - numBlocks);
- else
- return tr("Open until %1").arg(GUIUtil::dateTimeStr(wtx.tx->nLockTime));
- }
- else
{
int nDepth = status.depth_in_main_chain;
- if (nDepth < 0)
+ if (nDepth < 0) {
return tr("conflicted with a transaction with %1 confirmations").arg(-nDepth);
- else if (nDepth == 0)
- return tr("0/unconfirmed, %1").arg((inMempool ? tr("in memory pool") : tr("not in memory pool"))) + (status.is_abandoned ? ", "+tr("abandoned") : "");
- else if (nDepth < 6)
+ } else if (nDepth == 0) {
+ const QString abandoned{status.is_abandoned ? QLatin1String(", ") + tr("abandoned") : QString()};
+ return tr("0/unconfirmed, %1").arg(inMempool ? tr("in memory pool") : tr("not in memory pool")) + abandoned;
+ } else if (nDepth < 6) {
return tr("%1/unconfirmed").arg(nDepth);
- else
+ } else {
return tr("%1 confirmations").arg(nDepth);
+ }
}
}
diff --git a/src/qt/transactiondescdialog.cpp b/src/qt/transactiondescdialog.cpp
index 6f31d8463f..893752b227 100644
--- a/src/qt/transactiondescdialog.cpp
+++ b/src/qt/transactiondescdialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/qt/transactionfilterproxy.cpp b/src/qt/transactionfilterproxy.cpp
index a631f497af..3be7e1a969 100644
--- a/src/qt/transactionfilterproxy.cpp
+++ b/src/qt/transactionfilterproxy.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2018 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,17 +7,12 @@
#include <qt/transactiontablemodel.h>
#include <qt/transactionrecord.h>
+#include <algorithm>
#include <cstdlib>
-
-// Earliest date that can be represented (far in the past)
-const QDateTime TransactionFilterProxy::MIN_DATE = QDateTime::fromTime_t(0);
-// Last date that can be represented (far in the future)
-const QDateTime TransactionFilterProxy::MAX_DATE = QDateTime::fromTime_t(0xFFFFFFFF);
+#include <optional>
TransactionFilterProxy::TransactionFilterProxy(QObject *parent) :
QSortFilterProxyModel(parent),
- dateFrom(MIN_DATE),
- dateTo(MAX_DATE),
m_search_string(),
typeFilter(ALL_TYPES),
watchOnlyFilter(WatchOnlyFilter_All),
@@ -46,8 +41,8 @@ bool TransactionFilterProxy::filterAcceptsRow(int sourceRow, const QModelIndex &
return false;
QDateTime datetime = index.data(TransactionTableModel::DateRole).toDateTime();
- if (datetime < dateFrom || datetime > dateTo)
- return false;
+ if (dateFrom && datetime < *dateFrom) return false;
+ if (dateTo && datetime > *dateTo) return false;
QString address = index.data(TransactionTableModel::AddressRole).toString();
QString label = index.data(TransactionTableModel::LabelRole).toString();
@@ -65,10 +60,10 @@ bool TransactionFilterProxy::filterAcceptsRow(int sourceRow, const QModelIndex &
return true;
}
-void TransactionFilterProxy::setDateRange(const QDateTime &from, const QDateTime &to)
+void TransactionFilterProxy::setDateRange(const std::optional<QDateTime>& from, const std::optional<QDateTime>& to)
{
- this->dateFrom = from;
- this->dateTo = to;
+ dateFrom = from;
+ dateTo = to;
invalidateFilter();
}
diff --git a/src/qt/transactionfilterproxy.h b/src/qt/transactionfilterproxy.h
index 693b363692..fd9be52842 100644
--- a/src/qt/transactionfilterproxy.h
+++ b/src/qt/transactionfilterproxy.h
@@ -1,15 +1,17 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_TRANSACTIONFILTERPROXY_H
#define BITCOIN_QT_TRANSACTIONFILTERPROXY_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <QDateTime>
#include <QSortFilterProxyModel>
+#include <optional>
+
/** Filter the transaction list according to pre-specified rules. */
class TransactionFilterProxy : public QSortFilterProxyModel
{
@@ -18,10 +20,6 @@ class TransactionFilterProxy : public QSortFilterProxyModel
public:
explicit TransactionFilterProxy(QObject *parent = nullptr);
- /** Earliest date that can be represented (far in the past) */
- static const QDateTime MIN_DATE;
- /** Last date that can be represented (far in the future) */
- static const QDateTime MAX_DATE;
/** Type filter bit field (all types) */
static const quint32 ALL_TYPES = 0xFFFFFFFF;
@@ -34,7 +32,8 @@ public:
WatchOnlyFilter_No
};
- void setDateRange(const QDateTime &from, const QDateTime &to);
+ /** Filter transactions between date range. Use std::nullopt for open range. */
+ void setDateRange(const std::optional<QDateTime>& from, const std::optional<QDateTime>& to);
void setSearchString(const QString &);
/**
@note Type filter takes a bit field created with TYPE() or ALL_TYPES
@@ -55,8 +54,8 @@ protected:
bool filterAcceptsRow(int source_row, const QModelIndex & source_parent) const override;
private:
- QDateTime dateFrom;
- QDateTime dateTo;
+ std::optional<QDateTime> dateFrom;
+ std::optional<QDateTime> dateTo;
QString m_search_string;
quint32 typeFilter;
WatchOnlyFilter watchOnlyFilter;
diff --git a/src/qt/transactionrecord.cpp b/src/qt/transactionrecord.cpp
index 77fec93f0f..26144ba197 100644
--- a/src/qt/transactionrecord.cpp
+++ b/src/qt/transactionrecord.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,6 +13,10 @@
#include <QDateTime>
+using wallet::ISMINE_SPENDABLE;
+using wallet::ISMINE_WATCH_ONLY;
+using wallet::isminetype;
+
/* Return positive answer if transaction should be shown in list.
*/
bool TransactionRecord::showTransaction()
@@ -175,21 +179,8 @@ void TransactionRecord::updateStatus(const interfaces::WalletTxStatus& wtx, cons
status.depth = wtx.depth_in_main_chain;
status.m_cur_block_hash = block_hash;
- const bool up_to_date = ((int64_t)QDateTime::currentMSecsSinceEpoch() / 1000 - block_time < MAX_BLOCK_TIME_GAP);
- if (up_to_date && !wtx.is_final) {
- if (wtx.lock_time < LOCKTIME_THRESHOLD) {
- status.status = TransactionStatus::OpenUntilBlock;
- status.open_for = wtx.lock_time - numBlocks;
- }
- else
- {
- status.status = TransactionStatus::OpenUntilDate;
- status.open_for = wtx.lock_time;
- }
- }
// For generated transactions, determine maturity
- else if(type == TransactionRecord::Generated)
- {
+ if (type == TransactionRecord::Generated) {
if (wtx.blocks_to_maturity > 0)
{
status.status = TransactionStatus::Immature;
diff --git a/src/qt/transactionrecord.h b/src/qt/transactionrecord.h
index e10243a28a..dd34656d5f 100644
--- a/src/qt/transactionrecord.h
+++ b/src/qt/transactionrecord.h
@@ -1,11 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_TRANSACTIONRECORD_H
#define BITCOIN_QT_TRANSACTIONRECORD_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <uint256.h>
#include <QList>
@@ -30,8 +30,6 @@ public:
enum Status {
Confirmed, /**< Have 6 or more confirmations (normal tx) or fully mature (mined tx) **/
/// Normal (sent/received) transactions
- OpenUntilDate, /**< Transaction not yet final, waiting for date */
- OpenUntilBlock, /**< Transaction not yet final, waiting for block */
Unconfirmed, /**< Not yet mined into a block **/
Confirming, /**< Confirmed, but waiting for the recommended number of confirmations **/
Conflicted, /**< Conflicts with other transaction or mempool **/
diff --git a/src/qt/transactiontablemodel.cpp b/src/qt/transactiontablemodel.cpp
index e6d483364c..44b4fee2e7 100644
--- a/src/qt/transactiontablemodel.cpp
+++ b/src/qt/transactiontablemodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -25,6 +25,8 @@
#include <QDateTime>
#include <QDebug>
#include <QIcon>
+#include <QLatin1Char>
+#include <QLatin1String>
#include <QList>
@@ -96,18 +98,20 @@ public:
*/
QList<TransactionRecord> cachedWallet;
- bool fQueueNotifications = false;
+ /** True when model finishes loading all wallet transactions on start */
+ bool m_loaded = false;
+ /** True when transactions are being notified, for instance when scanning */
+ bool m_loading = false;
std::vector< TransactionNotification > vQueueNotifications;
void NotifyTransactionChanged(const uint256 &hash, ChangeType status);
- void ShowProgress(const std::string &title, int nProgress);
+ void DispatchNotifications();
/* Query entire wallet anew from core.
*/
void refreshWallet(interfaces::Wallet& wallet)
{
- qDebug() << "TransactionTablePriv::refreshWallet";
- cachedWallet.clear();
+ assert(!m_loaded);
{
for (const auto& wtx : wallet.getWalletTxs()) {
if (TransactionRecord::showTransaction()) {
@@ -115,6 +119,8 @@ public:
}
}
}
+ m_loaded = true;
+ DispatchNotifications();
}
/* Update our model of the wallet incrementally, to synchronize our model of the wallet
@@ -249,12 +255,12 @@ TransactionTableModel::TransactionTableModel(const PlatformStyle *_platformStyle
fProcessingQueuedTransactions(false),
platformStyle(_platformStyle)
{
+ subscribeToCoreSignals();
+
columns << QString() << QString() << tr("Date") << tr("Type") << tr("Label") << BitcoinUnits::getAmountColumnTitle(walletModel->getOptionsModel()->getDisplayUnit());
priv->refreshWallet(walletModel->wallet());
connect(walletModel->getOptionsModel(), &OptionsModel::displayUnitChanged, this, &TransactionTableModel::updateDisplayUnit);
-
- subscribeToCoreSignals();
}
TransactionTableModel::~TransactionTableModel()
@@ -310,12 +316,6 @@ QString TransactionTableModel::formatTxStatus(const TransactionRecord *wtx) cons
switch(wtx->status.status)
{
- case TransactionStatus::OpenUntilBlock:
- status = tr("Open for %n more block(s)","",wtx->status.open_for);
- break;
- case TransactionStatus::OpenUntilDate:
- status = tr("Open until %1").arg(GUIUtil::dateTimeStr(wtx->status.open_for));
- break;
case TransactionStatus::Unconfirmed:
status = tr("Unconfirmed");
break;
@@ -409,9 +409,9 @@ QVariant TransactionTableModel::txAddressDecoration(const TransactionRecord *wtx
QString TransactionTableModel::formatTxToAddress(const TransactionRecord *wtx, bool tooltip) const
{
QString watchAddress;
- if (tooltip) {
+ if (tooltip && wtx->involvesWatchAddress) {
// Mark transactions involving watch-only addresses by adding " (watch-only)"
- watchAddress = wtx->involvesWatchAddress ? QString(" (") + tr("watch-only") + QString(")") : "";
+ watchAddress = QLatin1String(" (") + tr("watch-only") + QLatin1Char(')');
}
switch(wtx->type)
@@ -469,9 +469,6 @@ QVariant TransactionTableModel::txStatusDecoration(const TransactionRecord *wtx)
{
switch(wtx->status.status)
{
- case TransactionStatus::OpenUntilBlock:
- case TransactionStatus::OpenUntilDate:
- return COLOR_TX_STATUS_OPENUNTILDATE;
case TransactionStatus::Unconfirmed:
return QIcon(":/icons/transaction_0");
case TransactionStatus::Abandoned:
@@ -526,27 +523,30 @@ QVariant TransactionTableModel::data(const QModelIndex &index, int role) const
return QVariant();
TransactionRecord *rec = static_cast<TransactionRecord*>(index.internalPointer());
- switch(role)
- {
+ const auto column = static_cast<ColumnIndex>(index.column());
+ switch (role) {
case RawDecorationRole:
- switch(index.column())
- {
+ switch (column) {
case Status:
return txStatusDecoration(rec);
case Watchonly:
return txWatchonlyDecoration(rec);
+ case Date: return {};
+ case Type: return {};
case ToAddress:
return txAddressDecoration(rec);
- }
- break;
+ case Amount: return {};
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
case Qt::DecorationRole:
{
QIcon icon = qvariant_cast<QIcon>(index.data(RawDecorationRole));
return platformStyle->TextColorIcon(icon);
}
case Qt::DisplayRole:
- switch(index.column())
- {
+ switch (column) {
+ case Status: return {};
+ case Watchonly: return {};
case Date:
return formatTxDate(rec);
case Type:
@@ -555,12 +555,11 @@ QVariant TransactionTableModel::data(const QModelIndex &index, int role) const
return formatTxToAddress(rec, false);
case Amount:
return formatTxAmount(rec, true, BitcoinUnits::SeparatorStyle::ALWAYS);
- }
- break;
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
case Qt::EditRole:
// Edit role is used for sorting, so return the unformatted values
- switch(index.column())
- {
+ switch (column) {
case Status:
return QString::fromStdString(rec->status.sortKey);
case Date:
@@ -573,8 +572,8 @@ QVariant TransactionTableModel::data(const QModelIndex &index, int role) const
return formatTxToAddress(rec, true);
case Amount:
return qint64(rec->credit + rec->debit);
- }
- break;
+ } // no default case, so the compiler can warn about missing cases
+ assert(false);
case Qt::ToolTipRole:
return formatTooltip(rec);
case Qt::TextAlignmentRole:
@@ -602,7 +601,7 @@ QVariant TransactionTableModel::data(const QModelIndex &index, int role) const
case TypeRole:
return rec->type;
case DateRole:
- return QDateTime::fromTime_t(static_cast<uint>(rec->time));
+ return QDateTime::fromSecsSinceEpoch(rec->time);
case WatchonlyRole:
return rec->involvesWatchAddress;
case WatchonlyDecorationRole:
@@ -622,7 +621,7 @@ QVariant TransactionTableModel::data(const QModelIndex &index, int role) const
case TxPlainTextRole:
{
QString details;
- QDateTime date = QDateTime::fromTime_t(static_cast<uint>(rec->time));
+ QDateTime date = QDateTime::fromSecsSinceEpoch(rec->time);
QString txLabel = walletModel->getAddressTableModel()->labelForAddress(QString::fromStdString(rec->address));
details.append(date.toString("M/d/yy HH:mm"));
@@ -717,7 +716,7 @@ void TransactionTablePriv::NotifyTransactionChanged(const uint256 &hash, ChangeT
TransactionNotification notification(hash, status, showTransaction);
- if (fQueueNotifications)
+ if (!m_loaded || m_loading)
{
vQueueNotifications.push_back(notification);
return;
@@ -725,36 +724,34 @@ void TransactionTablePriv::NotifyTransactionChanged(const uint256 &hash, ChangeT
notification.invoke(parent);
}
-void TransactionTablePriv::ShowProgress(const std::string &title, int nProgress)
+void TransactionTablePriv::DispatchNotifications()
{
- if (nProgress == 0)
- fQueueNotifications = true;
+ if (!m_loaded || m_loading) return;
- if (nProgress == 100)
+ if (vQueueNotifications.size() > 10) { // prevent balloon spam, show maximum 10 balloons
+ bool invoked = QMetaObject::invokeMethod(parent, "setProcessingQueuedTransactions", Qt::QueuedConnection, Q_ARG(bool, true));
+ assert(invoked);
+ }
+ for (unsigned int i = 0; i < vQueueNotifications.size(); ++i)
{
- fQueueNotifications = false;
- if (vQueueNotifications.size() > 10) { // prevent balloon spam, show maximum 10 balloons
- bool invoked = QMetaObject::invokeMethod(parent, "setProcessingQueuedTransactions", Qt::QueuedConnection, Q_ARG(bool, true));
+ if (vQueueNotifications.size() - i <= 10) {
+ bool invoked = QMetaObject::invokeMethod(parent, "setProcessingQueuedTransactions", Qt::QueuedConnection, Q_ARG(bool, false));
assert(invoked);
}
- for (unsigned int i = 0; i < vQueueNotifications.size(); ++i)
- {
- if (vQueueNotifications.size() - i <= 10) {
- bool invoked = QMetaObject::invokeMethod(parent, "setProcessingQueuedTransactions", Qt::QueuedConnection, Q_ARG(bool, false));
- assert(invoked);
- }
- vQueueNotifications[i].invoke(parent);
- }
- vQueueNotifications.clear();
+ vQueueNotifications[i].invoke(parent);
}
+ vQueueNotifications.clear();
}
void TransactionTableModel::subscribeToCoreSignals()
{
// Connect signals to wallet
m_handler_transaction_changed = walletModel->wallet().handleTransactionChanged(std::bind(&TransactionTablePriv::NotifyTransactionChanged, priv, std::placeholders::_1, std::placeholders::_2));
- m_handler_show_progress = walletModel->wallet().handleShowProgress(std::bind(&TransactionTablePriv::ShowProgress, priv, std::placeholders::_1, std::placeholders::_2));
+ m_handler_show_progress = walletModel->wallet().handleShowProgress([this](const std::string&, int progress) {
+ priv->m_loading = progress < 100;
+ priv->DispatchNotifications();
+ });
}
void TransactionTableModel::unsubscribeFromCoreSignals()
diff --git a/src/qt/transactionview.cpp b/src/qt/transactionview.cpp
index e1ec7b6ed0..778ef04b77 100644
--- a/src/qt/transactionview.cpp
+++ b/src/qt/transactionview.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,6 +19,9 @@
#include <node/ui_interface.h>
+#include <chrono>
+#include <optional>
+
#include <QApplication>
#include <QComboBox>
#include <QDateTimeEdit>
@@ -37,8 +40,8 @@
#include <QUrl>
#include <QVBoxLayout>
-TransactionView::TransactionView(const PlatformStyle *platformStyle, QWidget *parent) :
- QWidget(parent)
+TransactionView::TransactionView(const PlatformStyle *platformStyle, QWidget *parent)
+ : QWidget(parent), m_platform_style{platformStyle}
{
// Build filter row
setContentsMargins(0,0,0,0);
@@ -73,7 +76,7 @@ TransactionView::TransactionView(const PlatformStyle *platformStyle, QWidget *pa
dateWidget->addItem(tr("This month"), ThisMonth);
dateWidget->addItem(tr("Last month"), LastMonth);
dateWidget->addItem(tr("This year"), ThisYear);
- dateWidget->addItem(tr("Range..."), Range);
+ dateWidget->addItem(tr("Range…"), Range);
hlayout->addWidget(dateWidget);
typeWidget = new QComboBox(this);
@@ -112,8 +115,8 @@ TransactionView::TransactionView(const PlatformStyle *platformStyle, QWidget *pa
amountWidget->setValidator(amountValidator);
hlayout->addWidget(amountWidget);
- // Delay before filtering transactions in ms
- static const int input_filter_delay = 200;
+ // Delay before filtering transactions
+ static constexpr auto input_filter_delay{200ms};
QTimer* amount_typing_delay = new QTimer(this);
amount_typing_delay->setSingleShot(true);
@@ -160,56 +163,34 @@ TransactionView::TransactionView(const PlatformStyle *platformStyle, QWidget *pa
transactionView->horizontalHeader()->setMinimumSectionSize(MINIMUM_COLUMN_WIDTH);
transactionView->horizontalHeader()->setStretchLastSection(true);
}
- transactionView->horizontalHeader()->setSortIndicator(TransactionTableModel::Date, Qt::DescendingOrder);
-
- // Actions
- abandonAction = new QAction(tr("Abandon transaction"), this);
- bumpFeeAction = new QAction(tr("Increase transaction fee"), this);
- bumpFeeAction->setObjectName("bumpFeeAction");
- copyAddressAction = new QAction(tr("Copy address"), this);
- copyLabelAction = new QAction(tr("Copy label"), this);
- QAction *copyAmountAction = new QAction(tr("Copy amount"), this);
- QAction *copyTxIDAction = new QAction(tr("Copy transaction ID"), this);
- QAction *copyTxHexAction = new QAction(tr("Copy raw transaction"), this);
- QAction *copyTxPlainText = new QAction(tr("Copy full transaction details"), this);
- QAction *editLabelAction = new QAction(tr("Edit address label"), this);
- QAction *showDetailsAction = new QAction(tr("Show transaction details"), this);
contextMenu = new QMenu(this);
contextMenu->setObjectName("contextMenu");
- contextMenu->addAction(copyAddressAction);
- contextMenu->addAction(copyLabelAction);
- contextMenu->addAction(copyAmountAction);
- contextMenu->addAction(copyTxIDAction);
- contextMenu->addAction(copyTxHexAction);
- contextMenu->addAction(copyTxPlainText);
- contextMenu->addAction(showDetailsAction);
+ copyAddressAction = contextMenu->addAction(tr("&Copy address"), this, &TransactionView::copyAddress);
+ copyLabelAction = contextMenu->addAction(tr("Copy &label"), this, &TransactionView::copyLabel);
+ contextMenu->addAction(tr("Copy &amount"), this, &TransactionView::copyAmount);
+ contextMenu->addAction(tr("Copy transaction &ID"), this, &TransactionView::copyTxID);
+ contextMenu->addAction(tr("Copy &raw transaction"), this, &TransactionView::copyTxHex);
+ contextMenu->addAction(tr("Copy full transaction &details"), this, &TransactionView::copyTxPlainText);
+ contextMenu->addAction(tr("&Show transaction details"), this, &TransactionView::showDetails);
contextMenu->addSeparator();
- contextMenu->addAction(bumpFeeAction);
- contextMenu->addAction(abandonAction);
- contextMenu->addAction(editLabelAction);
-
- connect(dateWidget, static_cast<void (QComboBox::*)(int)>(&QComboBox::activated), this, &TransactionView::chooseDate);
- connect(typeWidget, static_cast<void (QComboBox::*)(int)>(&QComboBox::activated), this, &TransactionView::chooseType);
- connect(watchOnlyWidget, static_cast<void (QComboBox::*)(int)>(&QComboBox::activated), this, &TransactionView::chooseWatchonly);
- connect(amountWidget, &QLineEdit::textChanged, amount_typing_delay, static_cast<void (QTimer::*)()>(&QTimer::start));
+ bumpFeeAction = contextMenu->addAction(tr("Increase transaction &fee"));
+ GUIUtil::ExceptionSafeConnect(bumpFeeAction, &QAction::triggered, this, &TransactionView::bumpFee);
+ bumpFeeAction->setObjectName("bumpFeeAction");
+ abandonAction = contextMenu->addAction(tr("A&bandon transaction"), this, &TransactionView::abandonTx);
+ contextMenu->addAction(tr("&Edit address label"), this, &TransactionView::editLabel);
+
+ connect(dateWidget, qOverload<int>(&QComboBox::activated), this, &TransactionView::chooseDate);
+ connect(typeWidget, qOverload<int>(&QComboBox::activated), this, &TransactionView::chooseType);
+ connect(watchOnlyWidget, qOverload<int>(&QComboBox::activated), this, &TransactionView::chooseWatchonly);
+ connect(amountWidget, &QLineEdit::textChanged, amount_typing_delay, qOverload<>(&QTimer::start));
connect(amount_typing_delay, &QTimer::timeout, this, &TransactionView::changedAmount);
- connect(search_widget, &QLineEdit::textChanged, prefix_typing_delay, static_cast<void (QTimer::*)()>(&QTimer::start));
+ connect(search_widget, &QLineEdit::textChanged, prefix_typing_delay, qOverload<>(&QTimer::start));
connect(prefix_typing_delay, &QTimer::timeout, this, &TransactionView::changedSearch);
connect(transactionView, &QTableView::doubleClicked, this, &TransactionView::doubleClicked);
connect(transactionView, &QTableView::customContextMenuRequested, this, &TransactionView::contextualMenu);
- connect(bumpFeeAction, &QAction::triggered, this, &TransactionView::bumpFee);
- connect(abandonAction, &QAction::triggered, this, &TransactionView::abandonTx);
- connect(copyAddressAction, &QAction::triggered, this, &TransactionView::copyAddress);
- connect(copyLabelAction, &QAction::triggered, this, &TransactionView::copyLabel);
- connect(copyAmountAction, &QAction::triggered, this, &TransactionView::copyAmount);
- connect(copyTxIDAction, &QAction::triggered, this, &TransactionView::copyTxID);
- connect(copyTxHexAction, &QAction::triggered, this, &TransactionView::copyTxHex);
- connect(copyTxPlainText, &QAction::triggered, this, &TransactionView::copyTxPlainText);
- connect(editLabelAction, &QAction::triggered, this, &TransactionView::editLabel);
- connect(showDetailsAction, &QAction::triggered, this, &TransactionView::showDetails);
// Double-clicking on a transaction on the transaction history page shows details
connect(this, &TransactionView::doubleClicked, this, &TransactionView::showDetails);
// Highlight transaction after fee bump
@@ -236,22 +217,27 @@ void TransactionView::setModel(WalletModel *_model)
transactionProxyModel->setFilterCaseSensitivity(Qt::CaseInsensitive);
transactionProxyModel->setSortRole(Qt::EditRole);
transactionView->setModel(transactionProxyModel);
+ transactionView->sortByColumn(TransactionTableModel::Date, Qt::DescendingOrder);
if (_model->getOptionsModel())
{
// Add third party transaction URLs to context menu
QStringList listUrls = GUIUtil::SplitSkipEmptyParts(_model->getOptionsModel()->getThirdPartyTxUrls(), "|");
+ bool actions_created = false;
for (int i = 0; i < listUrls.size(); ++i)
{
QString url = listUrls[i].trimmed();
QString host = QUrl(url, QUrl::StrictMode).host();
if (!host.isEmpty())
{
- QAction *thirdPartyTxUrlAction = new QAction(host, this); // use host as menu item label
- if (i == 0)
+ if (!actions_created) {
contextMenu->addSeparator();
- contextMenu->addAction(thirdPartyTxUrlAction);
- connect(thirdPartyTxUrlAction, &QAction::triggered, [this, url] { openThirdPartyTxUrl(url); });
+ actions_created = true;
+ }
+ /*: Transactions table context menu action to show the
+ selected transaction in a third-party block explorer.
+ %1 is a stand-in argument for the URL of the explorer. */
+ contextMenu->addAction(tr("Show in %1").arg(host), [this, url] { openThirdPartyTxUrl(url); });
}
}
}
@@ -264,6 +250,20 @@ void TransactionView::setModel(WalletModel *_model)
}
}
+void TransactionView::changeEvent(QEvent* e)
+{
+ if (e->type() == QEvent::PaletteChange) {
+ watchOnlyWidget->setItemIcon(
+ TransactionFilterProxy::WatchOnlyFilter_Yes,
+ m_platform_style->SingleColorIcon(QStringLiteral(":/icons/eye_plus")));
+ watchOnlyWidget->setItemIcon(
+ TransactionFilterProxy::WatchOnlyFilter_No,
+ m_platform_style->SingleColorIcon(QStringLiteral(":/icons/eye_minus")));
+ }
+
+ QWidget::changeEvent(e);
+}
+
void TransactionView::chooseDate(int idx)
{
if (!transactionProxyModel) return;
@@ -273,26 +273,26 @@ void TransactionView::chooseDate(int idx)
{
case All:
transactionProxyModel->setDateRange(
- TransactionFilterProxy::MIN_DATE,
- TransactionFilterProxy::MAX_DATE);
+ std::nullopt,
+ std::nullopt);
break;
case Today:
transactionProxyModel->setDateRange(
GUIUtil::StartOfDay(current),
- TransactionFilterProxy::MAX_DATE);
+ std::nullopt);
break;
case ThisWeek: {
// Find last Monday
QDate startOfWeek = current.addDays(-(current.dayOfWeek()-1));
transactionProxyModel->setDateRange(
GUIUtil::StartOfDay(startOfWeek),
- TransactionFilterProxy::MAX_DATE);
+ std::nullopt);
} break;
case ThisMonth:
transactionProxyModel->setDateRange(
GUIUtil::StartOfDay(QDate(current.year(), current.month(), 1)),
- TransactionFilterProxy::MAX_DATE);
+ std::nullopt);
break;
case LastMonth:
transactionProxyModel->setDateRange(
@@ -302,7 +302,7 @@ void TransactionView::chooseDate(int idx)
case ThisYear:
transactionProxyModel->setDateRange(
GUIUtil::StartOfDay(QDate(current.year(), 1, 1)),
- TransactionFilterProxy::MAX_DATE);
+ std::nullopt);
break;
case Range:
dateRangeWidget->setVisible(true);
@@ -357,7 +357,9 @@ void TransactionView::exportClicked()
// CSV is currently the only supported format
QString filename = GUIUtil::getSaveFileName(this,
tr("Export Transaction History"), QString(),
- tr("Comma separated file (*.csv)"), nullptr);
+ /*: Expanded name of the CSV file format.
+ See: https://en.wikipedia.org/wiki/Comma-separated_values. */
+ tr("Comma separated file") + QLatin1String(" (*.csv)"), nullptr);
if (filename.isNull())
return;
@@ -424,7 +426,7 @@ void TransactionView::abandonTx()
model->getTransactionTableModel()->updateTransaction(hashQStr, CT_UPDATED, false);
}
-void TransactionView::bumpFee()
+void TransactionView::bumpFee([[maybe_unused]] bool checked)
{
if(!transactionView || !transactionView->selectionModel())
return;
@@ -503,22 +505,22 @@ void TransactionView::editLabel()
// Determine type of address, launch appropriate editor dialog type
QString type = modelIdx.data(AddressTableModel::TypeRole).toString();
- EditAddressDialog dlg(
+ auto dlg = new EditAddressDialog(
type == AddressTableModel::Receive
? EditAddressDialog::EditReceivingAddress
: EditAddressDialog::EditSendingAddress, this);
- dlg.setModel(addressBook);
- dlg.loadRow(idx);
- dlg.exec();
+ dlg->setModel(addressBook);
+ dlg->loadRow(idx);
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
else
{
// Add sending address
- EditAddressDialog dlg(EditAddressDialog::NewSendingAddress,
+ auto dlg = new EditAddressDialog(EditAddressDialog::NewSendingAddress,
this);
- dlg.setModel(addressBook);
- dlg.setAddress(address);
- dlg.exec();
+ dlg->setModel(addressBook);
+ dlg->setAddress(address);
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
}
}
diff --git a/src/qt/transactionview.h b/src/qt/transactionview.h
index 35ada4aa7a..fe6e3ac7c0 100644
--- a/src/qt/transactionview.h
+++ b/src/qt/transactionview.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -60,6 +60,9 @@ public:
MINIMUM_COLUMN_WIDTH = 23
};
+protected:
+ void changeEvent(QEvent* e) override;
+
private:
WalletModel *model{nullptr};
TransactionFilterProxy *transactionProxyModel{nullptr};
@@ -85,6 +88,8 @@ private:
bool eventFilter(QObject *obj, QEvent *event) override;
+ const PlatformStyle* m_platform_style;
+
private Q_SLOTS:
void contextualMenu(const QPoint &);
void dateRangeChanged();
@@ -99,7 +104,7 @@ private Q_SLOTS:
void openThirdPartyTxUrl(QString url);
void updateWatchOnlyColumn(bool fHaveWatchOnly);
void abandonTx();
- void bumpFee();
+ void bumpFee(bool checked);
Q_SIGNALS:
void doubleClicked(const QModelIndex&);
diff --git a/src/qt/utilitydialog.cpp b/src/qt/utilitydialog.cpp
index 05499b2a41..e68095f8e5 100644
--- a/src/qt/utilitydialog.cpp
+++ b/src/qt/utilitydialog.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -142,7 +142,7 @@ ShutdownWindow::ShutdownWindow(QWidget *parent, Qt::WindowFlags f):
{
QVBoxLayout *layout = new QVBoxLayout();
layout->addWidget(new QLabel(
- tr("%1 is shutting down...").arg(PACKAGE_NAME) + "<br /><br />" +
+ tr("%1 is shutting down…").arg(PACKAGE_NAME) + "<br /><br />" +
tr("Do not shut down the computer until this window disappears.")));
setLayout(layout);
diff --git a/src/qt/walletcontroller.cpp b/src/qt/walletcontroller.cpp
index 7a89325ddf..b025bb367c 100644
--- a/src/qt/walletcontroller.cpp
+++ b/src/qt/walletcontroller.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,6 +11,7 @@
#include <qt/guiutil.h>
#include <qt/walletmodel.h>
+#include <external_signer.h>
#include <interfaces/handler.h>
#include <interfaces/node.h>
#include <util/string.h>
@@ -19,6 +20,7 @@
#include <wallet/wallet.h>
#include <algorithm>
+#include <chrono>
#include <QApplication>
#include <QMessageBox>
@@ -27,6 +29,11 @@
#include <QTimer>
#include <QWindow>
+using wallet::WALLET_FLAG_BLANK_WALLET;
+using wallet::WALLET_FLAG_DESCRIPTORS;
+using wallet::WALLET_FLAG_DISABLE_PRIVATE_KEYS;
+using wallet::WALLET_FLAG_EXTERNAL_SIGNER;
+
WalletController::WalletController(ClientModel& client_model, const PlatformStyle* platform_style, QObject* parent)
: QObject(parent)
, m_activity_thread(new QThread(this))
@@ -36,14 +43,10 @@ WalletController::WalletController(ClientModel& client_model, const PlatformStyl
, m_platform_style(platform_style)
, m_options_model(client_model.getOptionsModel())
{
- m_handler_load_wallet = m_node.walletClient().handleLoadWallet([this](std::unique_ptr<interfaces::Wallet> wallet) {
+ m_handler_load_wallet = m_node.walletLoader().handleLoadWallet([this](std::unique_ptr<interfaces::Wallet> wallet) {
getOrCreateWallet(std::move(wallet));
});
- for (std::unique_ptr<interfaces::Wallet>& wallet : m_node.walletClient().getWallets()) {
- getOrCreateWallet(std::move(wallet));
- }
-
m_activity_worker->moveToThread(m_activity_thread);
m_activity_thread->start();
QTimer::singleShot(0, m_activity_worker, []() {
@@ -60,17 +63,11 @@ WalletController::~WalletController()
delete m_activity_worker;
}
-std::vector<WalletModel*> WalletController::getOpenWallets() const
-{
- QMutexLocker locker(&m_mutex);
- return m_wallets;
-}
-
std::map<std::string, bool> WalletController::listWalletDir() const
{
QMutexLocker locker(&m_mutex);
std::map<std::string, bool> wallets;
- for (const std::string& name : m_node.walletClient().listWalletDir()) {
+ for (const std::string& name : m_node.walletLoader().listWalletDir()) {
wallets[name] = false;
}
for (WalletModel* wallet_model : m_wallets) {
@@ -190,30 +187,24 @@ WalletControllerActivity::WalletControllerActivity(WalletController* wallet_cont
, m_wallet_controller(wallet_controller)
, m_parent_widget(parent_widget)
{
+ connect(this, &WalletControllerActivity::finished, this, &QObject::deleteLater);
}
-WalletControllerActivity::~WalletControllerActivity()
+void WalletControllerActivity::showProgressDialog(const QString& title_text, const QString& label_text)
{
- delete m_progress_dialog;
-}
-
-void WalletControllerActivity::showProgressDialog(const QString& label_text)
-{
- assert(!m_progress_dialog);
- m_progress_dialog = new QProgressDialog(m_parent_widget);
-
- m_progress_dialog->setLabelText(label_text);
- m_progress_dialog->setRange(0, 0);
- m_progress_dialog->setCancelButton(nullptr);
- m_progress_dialog->setWindowModality(Qt::ApplicationModal);
- GUIUtil::PolishProgressDialog(m_progress_dialog);
-}
-
-void WalletControllerActivity::destroyProgressDialog()
-{
- assert(m_progress_dialog);
- delete m_progress_dialog;
- m_progress_dialog = nullptr;
+ auto progress_dialog = new QProgressDialog(m_parent_widget);
+ progress_dialog->setAttribute(Qt::WA_DeleteOnClose);
+ connect(this, &WalletControllerActivity::finished, progress_dialog, &QWidget::close);
+
+ progress_dialog->setWindowTitle(title_text);
+ progress_dialog->setLabelText(label_text);
+ progress_dialog->setRange(0, 0);
+ progress_dialog->setCancelButton(nullptr);
+ progress_dialog->setWindowModality(Qt::ApplicationModal);
+ GUIUtil::PolishProgressDialog(progress_dialog);
+ // The setValue call forces QProgressDialog to start the internal duration estimation.
+ // See details in https://bugreports.qt.io/browse/QTBUG-47042.
+ progress_dialog->setValue(0);
}
CreateWalletActivity::CreateWalletActivity(WalletController* wallet_controller, QWidget* parent_widget)
@@ -247,7 +238,12 @@ void CreateWalletActivity::askPassphrase()
void CreateWalletActivity::createWallet()
{
- showProgressDialog(tr("Creating Wallet <b>%1</b>...").arg(m_create_wallet_dialog->walletName().toHtmlEscaped()));
+ showProgressDialog(
+ //: Title of window indicating the progress of creation of a new wallet.
+ tr("Create Wallet"),
+ /*: Descriptive text of the create wallet progress window which indicates
+ to the user which wallet is currently being created. */
+ tr("Creating Wallet <b>%1</b>…").arg(m_create_wallet_dialog->walletName().toHtmlEscaped()));
std::string name = m_create_wallet_dialog->walletName().toStdString();
uint64_t flags = 0;
@@ -260,20 +256,21 @@ void CreateWalletActivity::createWallet()
if (m_create_wallet_dialog->isDescriptorWalletChecked()) {
flags |= WALLET_FLAG_DESCRIPTORS;
}
+ if (m_create_wallet_dialog->isExternalSignerChecked()) {
+ flags |= WALLET_FLAG_EXTERNAL_SIGNER;
+ }
- QTimer::singleShot(500, worker(), [this, name, flags] {
- std::unique_ptr<interfaces::Wallet> wallet = node().walletClient().createWallet(name, m_passphrase, flags, m_error_message, m_warning_message);
+ QTimer::singleShot(500ms, worker(), [this, name, flags] {
+ std::unique_ptr<interfaces::Wallet> wallet = node().walletLoader().createWallet(name, m_passphrase, flags, m_error_message, m_warning_message);
if (wallet) m_wallet_model = m_wallet_controller->getOrCreateWallet(std::move(wallet));
- QTimer::singleShot(500, this, &CreateWalletActivity::finish);
+ QTimer::singleShot(500ms, this, &CreateWalletActivity::finish);
});
}
void CreateWalletActivity::finish()
{
- destroyProgressDialog();
-
if (!m_error_message.empty()) {
QMessageBox::critical(m_parent_widget, tr("Create wallet failed"), QString::fromStdString(m_error_message.translated));
} else if (!m_warning_message.empty()) {
@@ -288,6 +285,15 @@ void CreateWalletActivity::finish()
void CreateWalletActivity::create()
{
m_create_wallet_dialog = new CreateWalletDialog(m_parent_widget);
+
+ std::vector<std::unique_ptr<interfaces::ExternalSigner>> signers;
+ try {
+ signers = node().listExternalSigners();
+ } catch (const std::runtime_error& e) {
+ QMessageBox::critical(nullptr, tr("Can't list signers"), e.what());
+ }
+ m_create_wallet_dialog->setSigners(signers);
+
m_create_wallet_dialog->setWindowModality(Qt::ApplicationModal);
m_create_wallet_dialog->show();
@@ -313,8 +319,6 @@ OpenWalletActivity::OpenWalletActivity(WalletController* wallet_controller, QWid
void OpenWalletActivity::finish()
{
- destroyProgressDialog();
-
if (!m_error_message.empty()) {
QMessageBox::critical(m_parent_widget, tr("Open wallet failed"), QString::fromStdString(m_error_message.translated));
} else if (!m_warning_message.empty()) {
@@ -330,13 +334,41 @@ void OpenWalletActivity::open(const std::string& path)
{
QString name = path.empty() ? QString("["+tr("default wallet")+"]") : QString::fromStdString(path);
- showProgressDialog(tr("Opening Wallet <b>%1</b>...").arg(name.toHtmlEscaped()));
+ showProgressDialog(
+ //: Title of window indicating the progress of opening of a wallet.
+ tr("Open Wallet"),
+ /*: Descriptive text of the open wallet progress window which indicates
+ to the user which wallet is currently being opened. */
+ tr("Opening Wallet <b>%1</b>…").arg(name.toHtmlEscaped()));
QTimer::singleShot(0, worker(), [this, path] {
- std::unique_ptr<interfaces::Wallet> wallet = node().walletClient().loadWallet(path, m_error_message, m_warning_message);
+ std::unique_ptr<interfaces::Wallet> wallet = node().walletLoader().loadWallet(path, m_error_message, m_warning_message);
if (wallet) m_wallet_model = m_wallet_controller->getOrCreateWallet(std::move(wallet));
QTimer::singleShot(0, this, &OpenWalletActivity::finish);
});
}
+
+LoadWalletsActivity::LoadWalletsActivity(WalletController* wallet_controller, QWidget* parent_widget)
+ : WalletControllerActivity(wallet_controller, parent_widget)
+{
+}
+
+void LoadWalletsActivity::load()
+{
+ showProgressDialog(
+ //: Title of progress window which is displayed when wallets are being loaded.
+ tr("Load Wallets"),
+ /*: Descriptive text of the load wallets progress window which indicates to
+ the user that wallets are currently being loaded.*/
+ tr("Loading wallets…"));
+
+ QTimer::singleShot(0, worker(), [this] {
+ for (auto& wallet : node().walletLoader().getWallets()) {
+ m_wallet_controller->getOrCreateWallet(std::move(wallet));
+ }
+
+ QTimer::singleShot(0, this, [this] { Q_EMIT finished(); });
+ });
+}
diff --git a/src/qt/walletcontroller.h b/src/qt/walletcontroller.h
index f7e366878d..24f85c258c 100644
--- a/src/qt/walletcontroller.h
+++ b/src/qt/walletcontroller.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -52,9 +52,6 @@ public:
WalletController(ClientModel& client_model, const PlatformStyle* platform_style, QObject* parent);
~WalletController();
- //! Returns wallet models currently open.
- std::vector<WalletModel*> getOpenWallets() const;
-
WalletModel* getOrCreateWallet(std::unique_ptr<interfaces::Wallet> wallet);
//! Returns all wallet names in the wallet dir mapped to whether the wallet
@@ -90,7 +87,7 @@ class WalletControllerActivity : public QObject
public:
WalletControllerActivity(WalletController* wallet_controller, QWidget* parent_widget);
- virtual ~WalletControllerActivity();
+ virtual ~WalletControllerActivity() = default;
Q_SIGNALS:
void finished();
@@ -99,12 +96,10 @@ protected:
interfaces::Node& node() const { return m_wallet_controller->m_node; }
QObject* worker() const { return m_wallet_controller->m_activity_worker; }
- void showProgressDialog(const QString& label_text);
- void destroyProgressDialog();
+ void showProgressDialog(const QString& title_text, const QString& label_text);
WalletController* const m_wallet_controller;
QWidget* const m_parent_widget;
- QProgressDialog* m_progress_dialog{nullptr};
WalletModel* m_wallet_model{nullptr};
bilingual_str m_error_message;
std::vector<bilingual_str> m_warning_message;
@@ -150,4 +145,14 @@ private:
void finish();
};
+class LoadWalletsActivity : public WalletControllerActivity
+{
+ Q_OBJECT
+
+public:
+ LoadWalletsActivity(WalletController* wallet_controller, QWidget* parent_widget);
+
+ void load();
+};
+
#endif // BITCOIN_QT_WALLETCONTROLLER_H
diff --git a/src/qt/walletframe.cpp b/src/qt/walletframe.cpp
index 02b3c62867..91ce420a33 100644
--- a/src/qt/walletframe.cpp
+++ b/src/qt/walletframe.cpp
@@ -1,27 +1,33 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <qt/walletframe.h>
-#include <qt/bitcoingui.h>
-#include <qt/createwalletdialog.h>
+#include <fs.h>
+#include <node/ui_interface.h>
+#include <psbt.h>
+#include <qt/guiutil.h>
#include <qt/overviewpage.h>
-#include <qt/walletcontroller.h>
+#include <qt/psbtoperationsdialog.h>
#include <qt/walletmodel.h>
#include <qt/walletview.h>
+#include <util/system.h>
#include <cassert>
+#include <fstream>
+#include <string>
+#include <QApplication>
+#include <QClipboard>
#include <QGroupBox>
#include <QHBoxLayout>
#include <QLabel>
#include <QPushButton>
#include <QVBoxLayout>
-WalletFrame::WalletFrame(const PlatformStyle* _platformStyle, BitcoinGUI* _gui)
- : QFrame(_gui),
- gui(_gui),
+WalletFrame::WalletFrame(const PlatformStyle* _platformStyle, QWidget* parent)
+ : QFrame(parent),
platformStyle(_platformStyle),
m_size_hint(OverviewPage{platformStyle, nullptr}.sizeHint())
{
@@ -42,11 +48,7 @@ WalletFrame::WalletFrame(const PlatformStyle* _platformStyle, BitcoinGUI* _gui)
// A button for create wallet dialog
QPushButton* create_wallet_button = new QPushButton(tr("Create a new wallet"), walletStack);
- connect(create_wallet_button, &QPushButton::clicked, [this] {
- auto activity = new CreateWalletActivity(gui->getWalletController(), this);
- connect(activity, &CreateWalletActivity::finished, activity, &QObject::deleteLater);
- activity->create();
- });
+ connect(create_wallet_button, &QPushButton::clicked, this, &WalletFrame::createWalletButtonClicked);
no_wallet_layout->addWidget(create_wallet_button, 0, Qt::AlignHCenter | Qt::AlignTop);
no_wallet_group->setLayout(no_wallet_layout);
@@ -66,17 +68,14 @@ void WalletFrame::setClientModel(ClientModel *_clientModel)
}
}
-bool WalletFrame::addWallet(WalletModel *walletModel)
+bool WalletFrame::addView(WalletView* walletView)
{
- if (!gui || !clientModel || !walletModel) return false;
+ if (!clientModel) return false;
- if (mapWalletViews.count(walletModel) > 0) return false;
+ if (mapWalletViews.count(walletView->getWalletModel()) > 0) return false;
- WalletView *walletView = new WalletView(platformStyle, this);
walletView->setClientModel(clientModel);
- walletView->setWalletModel(walletModel);
walletView->showOutOfSyncWarning(bOutOfSync);
- walletView->setPrivacy(gui->isPrivacyModeActivated());
WalletView* current_wallet_view = currentWalletView();
if (current_wallet_view) {
@@ -86,18 +85,7 @@ bool WalletFrame::addWallet(WalletModel *walletModel)
}
walletStack->addWidget(walletView);
- mapWalletViews[walletModel] = walletView;
-
- connect(walletView, &WalletView::outOfSyncWarningClicked, this, &WalletFrame::outOfSyncWarningClicked);
- connect(walletView, &WalletView::transactionClicked, gui, &BitcoinGUI::gotoHistoryPage);
- connect(walletView, &WalletView::coinsSent, gui, &BitcoinGUI::gotoHistoryPage);
- connect(walletView, &WalletView::message, [this](const QString& title, const QString& message, unsigned int style) {
- gui->message(title, message, style);
- });
- connect(walletView, &WalletView::encryptionStatusChanged, gui, &BitcoinGUI::updateWalletStatus);
- connect(walletView, &WalletView::incomingTransaction, gui, &BitcoinGUI::incomingTransaction);
- connect(walletView, &WalletView::hdEnabledStatusChanged, gui, &BitcoinGUI::updateWalletStatus);
- connect(gui, &BitcoinGUI::setPrivacy, walletView, &WalletView::setPrivacy);
+ mapWalletViews[walletView->getWalletModel()] = walletView;
return true;
}
@@ -124,7 +112,8 @@ void WalletFrame::setCurrentWallet(WalletModel* wallet_model)
walletView->updateGeometry();
walletStack->setCurrentWidget(walletView);
- walletView->updateEncryptionStatus();
+
+ Q_EMIT currentWalletSet();
}
void WalletFrame::removeWallet(WalletModel* wallet_model)
@@ -205,10 +194,39 @@ void WalletFrame::gotoVerifyMessageTab(QString addr)
void WalletFrame::gotoLoadPSBT(bool from_clipboard)
{
- WalletView *walletView = currentWalletView();
- if (walletView) {
- walletView->gotoLoadPSBT(from_clipboard);
+ std::string data;
+
+ if (from_clipboard) {
+ std::string raw = QApplication::clipboard()->text().toStdString();
+ bool invalid;
+ data = DecodeBase64(raw, &invalid);
+ if (invalid) {
+ Q_EMIT message(tr("Error"), tr("Unable to decode PSBT from clipboard (invalid base64)"), CClientUIInterface::MSG_ERROR);
+ return;
+ }
+ } else {
+ QString filename = GUIUtil::getOpenFileName(this,
+ tr("Load Transaction Data"), QString(),
+ tr("Partially Signed Transaction (*.psbt)"), nullptr);
+ if (filename.isEmpty()) return;
+ if (GetFileSize(filename.toLocal8Bit().data(), MAX_FILE_SIZE_PSBT) == MAX_FILE_SIZE_PSBT) {
+ Q_EMIT message(tr("Error"), tr("PSBT file must be smaller than 100 MiB"), CClientUIInterface::MSG_ERROR);
+ return;
+ }
+ std::ifstream in{filename.toLocal8Bit().data(), std::ios::binary};
+ data = std::string(std::istreambuf_iterator<char>{in}, {});
+ }
+
+ std::string error;
+ PartiallySignedTransaction psbtx;
+ if (!DecodeRawPSBT(psbtx, data, error)) {
+ Q_EMIT message(tr("Error"), tr("Unable to decode PSBT") + "\n" + QString::fromStdString(error), CClientUIInterface::MSG_ERROR);
+ return;
}
+
+ auto dlg = new PSBTOperationsDialog(this, currentWalletModel(), clientModel);
+ dlg->openWithPSBT(psbtx);
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
void WalletFrame::encryptWallet()
@@ -263,8 +281,3 @@ WalletModel* WalletFrame::currentWalletModel() const
WalletView* wallet_view = currentWalletView();
return wallet_view ? wallet_view->getWalletModel() : nullptr;
}
-
-void WalletFrame::outOfSyncWarningClicked()
-{
- Q_EMIT requestedSyncWarningInfo();
-}
diff --git a/src/qt/walletframe.h b/src/qt/walletframe.h
index f57f8678d6..60c97ff76a 100644
--- a/src/qt/walletframe.h
+++ b/src/qt/walletframe.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,7 +8,6 @@
#include <QFrame>
#include <QMap>
-class BitcoinGUI;
class ClientModel;
class PlatformStyle;
class SendCoinsRecipient;
@@ -31,12 +30,12 @@ class WalletFrame : public QFrame
Q_OBJECT
public:
- explicit WalletFrame(const PlatformStyle *platformStyle, BitcoinGUI *_gui = nullptr);
+ explicit WalletFrame(const PlatformStyle* platformStyle, QWidget* parent);
~WalletFrame();
void setClientModel(ClientModel *clientModel);
- bool addWallet(WalletModel *walletModel);
+ bool addView(WalletView* walletView);
void setCurrentWallet(WalletModel* wallet_model);
void removeWallet(WalletModel* wallet_model);
void removeAllWallets();
@@ -48,12 +47,12 @@ public:
QSize sizeHint() const override { return m_size_hint; }
Q_SIGNALS:
- /** Notify that the user has requested more information about the out-of-sync warning */
- void requestedSyncWarningInfo();
+ void createWalletButtonClicked();
+ void message(const QString& title, const QString& message, unsigned int style);
+ void currentWalletSet();
private:
QStackedWidget *walletStack;
- BitcoinGUI *gui;
ClientModel *clientModel;
QMap<WalletModel*, WalletView*> mapWalletViews;
@@ -98,8 +97,6 @@ public Q_SLOTS:
void usedSendingAddresses();
/** Show used receiving addresses */
void usedReceivingAddresses();
- /** Pass on signal over requested out-of-sync-warning information */
- void outOfSyncWarningClicked();
};
#endif // BITCOIN_QT_WALLETFRAME_H
diff --git a/src/qt/walletmodel.cpp b/src/qt/walletmodel.cpp
index 02254da3ce..5ee32e79d5 100644
--- a/src/qt/walletmodel.cpp
+++ b/src/qt/walletmodel.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -36,6 +36,9 @@
#include <QSet>
#include <QTimer>
+using wallet::CCoinControl;
+using wallet::CRecipient;
+using wallet::DEFAULT_DISABLE_WALLET;
WalletModel::WalletModel(std::unique_ptr<interfaces::Wallet> wallet, ClientModel& client_model, const PlatformStyle *platformStyle, QObject *parent) :
QObject(parent),
@@ -65,7 +68,10 @@ WalletModel::~WalletModel()
void WalletModel::startPollBalance()
{
// This timer will be fired repeatedly to update the balance
- connect(timer, &QTimer::timeout, this, &WalletModel::pollBalanceChanged);
+ // Since the QTimer::timeout is a private signal, it cannot be used
+ // in the GUIUtil::ExceptionSafeConnect directly.
+ connect(timer, &QTimer::timeout, this, &WalletModel::timerTimeout);
+ GUIUtil::ExceptionSafeConnect(this, &WalletModel::timerTimeout, this, &WalletModel::pollBalanceChanged);
timer->start(MODEL_UPDATE_DELAY);
}
@@ -245,7 +251,7 @@ WalletModel::SendCoinsReturn WalletModel::sendCoins(WalletModelTransaction &tran
CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
ssTx << *newTx;
- transaction_array.append((const char*)&(ssTx[0]), ssTx.size());
+ transaction_array.append((const char*)ssTx.data(), ssTx.size());
}
// Add addresses / update labels that we've sent to the address book,
@@ -463,25 +469,6 @@ void WalletModel::UnlockContext::CopyFrom(UnlockContext&& rhs)
rhs.relock = false;
}
-void WalletModel::loadReceiveRequests(std::vector<std::string>& vReceiveRequests)
-{
- vReceiveRequests = m_wallet->getDestValues("rr"); // receive request
-}
-
-bool WalletModel::saveReceiveRequest(const std::string &sAddress, const int64_t nId, const std::string &sRequest)
-{
- CTxDestination dest = DecodeDestination(sAddress);
-
- std::stringstream ss;
- ss << nId;
- std::string key = "rr" + ss.str(); // "rr" prefix = "receive request" in destdata
-
- if (sRequest.empty())
- return m_wallet->eraseDestData(dest, key);
- else
- return m_wallet->addDestData(dest, key, sRequest);
-}
-
bool WalletModel::bumpFee(uint256 hash, uint256& new_hash)
{
CCoinControl coin_control;
@@ -496,10 +483,9 @@ bool WalletModel::bumpFee(uint256 hash, uint256& new_hash)
return false;
}
- const bool create_psbt = m_wallet->privateKeysDisabled();
-
// allow a user based fee verification
- QString questionString = create_psbt ? tr("Do you want to draft a transaction with fee increase?") : tr("Do you want to increase the fee?");
+ /*: Asks a user if they would like to manually increase the fee of a transaction that has already been created. */
+ QString questionString = tr("Do you want to increase the fee?");
questionString.append("<br />");
questionString.append("<table style=\"text-align: left;\">");
questionString.append("<tr><td>");
@@ -522,12 +508,13 @@ bool WalletModel::bumpFee(uint256 hash, uint256& new_hash)
questionString.append(tr("Warning: This may pay the additional fee by reducing change outputs or adding inputs, when necessary. It may add a new change output if one does not already exist. These changes may potentially leak privacy."));
}
- SendConfirmationDialog confirmationDialog(tr("Confirm fee bump"), questionString);
- confirmationDialog.exec();
- QMessageBox::StandardButton retval = static_cast<QMessageBox::StandardButton>(confirmationDialog.result());
+ auto confirmationDialog = new SendConfirmationDialog(tr("Confirm fee bump"), questionString, "", "", SEND_CONFIRM_DELAY, !m_wallet->privateKeysDisabled(), getOptionsModel()->getEnablePSBTControls(), nullptr);
+ confirmationDialog->setAttribute(Qt::WA_DeleteOnClose);
+ // TODO: Replace QDialog::exec() with safer QDialog::show().
+ const auto retval = static_cast<QMessageBox::StandardButton>(confirmationDialog->exec());
// cancel sign&broadcast if user doesn't want to bump the fee
- if (retval != QMessageBox::Yes) {
+ if (retval != QMessageBox::Yes && retval != QMessageBox::Save) {
return false;
}
@@ -538,10 +525,10 @@ bool WalletModel::bumpFee(uint256 hash, uint256& new_hash)
}
// Short-circuit if we are returning a bumped transaction PSBT to clipboard
- if (create_psbt) {
+ if (retval == QMessageBox::Save) {
PartiallySignedTransaction psbtx(mtx);
bool complete = false;
- const TransactionError err = wallet().fillPSBT(SIGHASH_ALL, false /* sign */, true /* bip32derivs */, psbtx, complete, nullptr);
+ const TransactionError err = wallet().fillPSBT(SIGHASH_ALL, false /* sign */, true /* bip32derivs */, nullptr, psbtx, complete);
if (err != TransactionError::OK || complete) {
QMessageBox::critical(nullptr, tr("Fee bump error"), tr("Can't draft transaction."));
return false;
@@ -554,6 +541,8 @@ bool WalletModel::bumpFee(uint256 hash, uint256& new_hash)
return true;
}
+ assert(!m_wallet->privateKeysDisabled());
+
// sign bumped transaction
if (!m_wallet->signBumpTransaction(mtx)) {
QMessageBox::critical(nullptr, tr("Fee bump error"), tr("Can't sign transaction."));
@@ -568,6 +557,18 @@ bool WalletModel::bumpFee(uint256 hash, uint256& new_hash)
return true;
}
+bool WalletModel::displayAddress(std::string sAddress)
+{
+ CTxDestination dest = DecodeDestination(sAddress);
+ bool res = false;
+ try {
+ res = m_wallet->displayAddress(dest);
+ } catch (const std::runtime_error& e) {
+ QMessageBox::critical(nullptr, tr("Can't display address"), e.what());
+ }
+ return res;
+}
+
bool WalletModel::isWalletEnabled()
{
return !gArgs.GetBoolArg("-disablewallet", DEFAULT_DISABLE_WALLET);
@@ -586,7 +587,7 @@ QString WalletModel::getDisplayName() const
bool WalletModel::isMultiwallet()
{
- return m_node.walletClient().getWallets().size() > 1;
+ return m_node.walletLoader().getWallets().size() > 1;
}
void WalletModel::refresh(bool pk_hash_only)
diff --git a/src/qt/walletmodel.h b/src/qt/walletmodel.h
index 9a3c3f2f66..ad1239ccdc 100644
--- a/src/qt/walletmodel.h
+++ b/src/qt/walletmodel.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -32,16 +32,17 @@ class SendCoinsRecipient;
class TransactionTableModel;
class WalletModelTransaction;
-class CCoinControl;
class CKeyID;
class COutPoint;
-class COutput;
class CPubKey;
class uint256;
namespace interfaces {
class Node;
} // namespace interfaces
+namespace wallet {
+class CCoinControl;
+} // namespace wallet
QT_BEGIN_NAMESPACE
class QTimer;
@@ -99,7 +100,7 @@ public:
};
// prepare transaction for getting txfee before sending coins
- SendCoinsReturn prepareTransaction(WalletModelTransaction &transaction, const CCoinControl& coinControl);
+ SendCoinsReturn prepareTransaction(WalletModelTransaction &transaction, const wallet::CCoinControl& coinControl);
// Send coins to a list of recipients
SendCoinsReturn sendCoins(WalletModelTransaction &transaction);
@@ -135,10 +136,8 @@ public:
UnlockContext requestUnlock();
- void loadReceiveRequests(std::vector<std::string>& vReceiveRequests);
- bool saveReceiveRequest(const std::string &sAddress, const int64_t nId, const std::string &sRequest);
-
bool bumpFee(uint256 hash, uint256& new_hash);
+ bool displayAddress(std::string sAddress);
static bool isWalletEnabled();
@@ -223,6 +222,8 @@ Q_SIGNALS:
// Notify that there are now keys in the keypool
void canGetAddressesChanged();
+ void timerTimeout();
+
public Q_SLOTS:
/* Starts a timer to periodically update the balance */
void startPollBalance();
diff --git a/src/qt/walletmodeltransaction.cpp b/src/qt/walletmodeltransaction.cpp
index 25172e774c..b5538b644f 100644
--- a/src/qt/walletmodeltransaction.cpp
+++ b/src/qt/walletmodeltransaction.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2020 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -26,6 +26,11 @@ CTransactionRef& WalletModelTransaction::getWtx()
return wtx;
}
+void WalletModelTransaction::setWtx(const CTransactionRef& newTx)
+{
+ wtx = newTx;
+}
+
unsigned int WalletModelTransaction::getTransactionSize()
{
return wtx ? GetVirtualTransactionSize(*wtx) : 0;
diff --git a/src/qt/walletmodeltransaction.h b/src/qt/walletmodeltransaction.h
index f9a95362c8..28fb551364 100644
--- a/src/qt/walletmodeltransaction.h
+++ b/src/qt/walletmodeltransaction.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,7 +8,7 @@
#include <primitives/transaction.h>
#include <qt/sendcoinsrecipient.h>
-#include <amount.h>
+#include <consensus/amount.h>
#include <QObject>
@@ -27,6 +27,8 @@ public:
QList<SendCoinsRecipient> getRecipients() const;
CTransactionRef& getWtx();
+ void setWtx(const CTransactionRef&);
+
unsigned int getTransactionSize();
void setTransactionFee(const CAmount& newFee);
diff --git a/src/qt/walletview.cpp b/src/qt/walletview.cpp
index b1e6b43e60..e7ec54721a 100644
--- a/src/qt/walletview.cpp
+++ b/src/qt/walletview.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,7 +8,6 @@
#include <qt/askpassphrasedialog.h>
#include <qt/clientmodel.h>
#include <qt/guiutil.h>
-#include <qt/psbtoperationsdialog.h>
#include <qt/optionsmodel.h>
#include <qt/overviewpage.h>
#include <qt/platformstyle.h>
@@ -21,32 +20,34 @@
#include <interfaces/node.h>
#include <node/ui_interface.h>
-#include <psbt.h>
#include <util/strencodings.h>
#include <QAction>
#include <QActionGroup>
-#include <QApplication>
-#include <QClipboard>
#include <QFileDialog>
#include <QHBoxLayout>
#include <QProgressDialog>
#include <QPushButton>
#include <QVBoxLayout>
-WalletView::WalletView(const PlatformStyle *_platformStyle, QWidget *parent):
- QStackedWidget(parent),
- clientModel(nullptr),
- walletModel(nullptr),
- platformStyle(_platformStyle)
+WalletView::WalletView(WalletModel* wallet_model, const PlatformStyle* _platformStyle, QWidget* parent)
+ : QStackedWidget(parent),
+ clientModel(nullptr),
+ walletModel(wallet_model),
+ platformStyle(_platformStyle)
{
+ assert(walletModel);
+
// Create tabs
overviewPage = new OverviewPage(platformStyle);
+ overviewPage->setWalletModel(walletModel);
transactionsPage = new QWidget(this);
QVBoxLayout *vbox = new QVBoxLayout();
QHBoxLayout *hbox_buttons = new QHBoxLayout();
transactionView = new TransactionView(platformStyle, this);
+ transactionView->setModel(walletModel);
+
vbox->addWidget(transactionView);
QPushButton *exportButton = new QPushButton(tr("&Export"), this);
exportButton->setToolTip(tr("Export the data in the current tab to a file"));
@@ -59,10 +60,16 @@ WalletView::WalletView(const PlatformStyle *_platformStyle, QWidget *parent):
transactionsPage->setLayout(vbox);
receiveCoinsPage = new ReceiveCoinsDialog(platformStyle);
+ receiveCoinsPage->setModel(walletModel);
+
sendCoinsPage = new SendCoinsDialog(platformStyle);
+ sendCoinsPage->setModel(walletModel);
usedSendingAddressesPage = new AddressBookPage(platformStyle, AddressBookPage::ForEditing, AddressBookPage::SendingTab, this);
+ usedSendingAddressesPage->setModel(walletModel->getAddressTableModel());
+
usedReceivingAddressesPage = new AddressBookPage(platformStyle, AddressBookPage::ForEditing, AddressBookPage::ReceivingTab, this);
+ usedReceivingAddressesPage->setModel(walletModel->getAddressTableModel());
addWidget(overviewPage);
addWidget(transactionsPage);
@@ -71,13 +78,13 @@ WalletView::WalletView(const PlatformStyle *_platformStyle, QWidget *parent):
connect(overviewPage, &OverviewPage::transactionClicked, this, &WalletView::transactionClicked);
// Clicking on a transaction on the overview pre-selects the transaction on the transaction history page
- connect(overviewPage, &OverviewPage::transactionClicked, transactionView, static_cast<void (TransactionView::*)(const QModelIndex&)>(&TransactionView::focusTransaction));
+ connect(overviewPage, &OverviewPage::transactionClicked, transactionView, qOverload<const QModelIndex&>(&TransactionView::focusTransaction));
- connect(overviewPage, &OverviewPage::outOfSyncWarningClicked, this, &WalletView::requestedSyncWarningInfo);
+ connect(overviewPage, &OverviewPage::outOfSyncWarningClicked, this, &WalletView::outOfSyncWarningClicked);
connect(sendCoinsPage, &SendCoinsDialog::coinsSent, this, &WalletView::coinsSent);
// Highlight transaction after send
- connect(sendCoinsPage, &SendCoinsDialog::coinsSent, transactionView, static_cast<void (TransactionView::*)(const uint256&)>(&TransactionView::focusTransaction));
+ connect(sendCoinsPage, &SendCoinsDialog::coinsSent, transactionView, qOverload<const uint256&>(&TransactionView::focusTransaction));
// Clicking on "Export" allows to export the transaction list
connect(exportButton, &QPushButton::clicked, transactionView, &TransactionView::exportClicked);
@@ -88,6 +95,21 @@ WalletView::WalletView(const PlatformStyle *_platformStyle, QWidget *parent):
connect(transactionView, &TransactionView::message, this, &WalletView::message);
connect(this, &WalletView::setPrivacy, overviewPage, &OverviewPage::setPrivacy);
+
+ // Receive and pass through messages from wallet model
+ connect(walletModel, &WalletModel::message, this, &WalletView::message);
+
+ // Handle changes in encryption status
+ connect(walletModel, &WalletModel::encryptionStatusChanged, this, &WalletView::encryptionStatusChanged);
+
+ // Balloon pop-up for new transaction
+ connect(walletModel->getTransactionTableModel(), &TransactionTableModel::rowsInserted, this, &WalletView::processNewTransaction);
+
+ // Ask for passphrase if needed
+ connect(walletModel, &WalletModel::requireUnlock, this, &WalletView::unlockWallet);
+
+ // Show progress dialog
+ connect(walletModel, &WalletModel::showProgress, this, &WalletView::showProgress);
}
WalletView::~WalletView()
@@ -100,49 +122,15 @@ void WalletView::setClientModel(ClientModel *_clientModel)
overviewPage->setClientModel(_clientModel);
sendCoinsPage->setClientModel(_clientModel);
- if (walletModel) walletModel->setClientModel(_clientModel);
-}
-
-void WalletView::setWalletModel(WalletModel *_walletModel)
-{
- this->walletModel = _walletModel;
-
- // Put transaction list in tabs
- transactionView->setModel(_walletModel);
- overviewPage->setWalletModel(_walletModel);
- receiveCoinsPage->setModel(_walletModel);
- sendCoinsPage->setModel(_walletModel);
- usedReceivingAddressesPage->setModel(_walletModel ? _walletModel->getAddressTableModel() : nullptr);
- usedSendingAddressesPage->setModel(_walletModel ? _walletModel->getAddressTableModel() : nullptr);
-
- if (_walletModel)
- {
- // Receive and pass through messages from wallet model
- connect(_walletModel, &WalletModel::message, this, &WalletView::message);
-
- // Handle changes in encryption status
- connect(_walletModel, &WalletModel::encryptionStatusChanged, this, &WalletView::encryptionStatusChanged);
- updateEncryptionStatus();
-
- // update HD status
- Q_EMIT hdEnabledStatusChanged();
-
- // Balloon pop-up for new transaction
- connect(_walletModel->getTransactionTableModel(), &TransactionTableModel::rowsInserted, this, &WalletView::processNewTransaction);
-
- // Ask for passphrase if needed
- connect(_walletModel, &WalletModel::requireUnlock, this, &WalletView::unlockWallet);
-
- // Show progress dialog
- connect(_walletModel, &WalletModel::showProgress, this, &WalletView::showProgress);
- }
+ walletModel->setClientModel(_clientModel);
}
void WalletView::processNewTransaction(const QModelIndex& parent, int start, int /*end*/)
{
// Prevent balloon-spam when initial block download is in progress
- if (!walletModel || !clientModel || clientModel->node().isInitialBlockDownload())
+ if (!clientModel || clientModel->node().isInitialBlockDownload()) {
return;
+ }
TransactionTableModel *ttm = walletModel->getTransactionTableModel();
if (!ttm || ttm->processingQueuedTransactions())
@@ -205,44 +193,6 @@ void WalletView::gotoVerifyMessageTab(QString addr)
signVerifyMessageDialog->setAddress_VM(addr);
}
-void WalletView::gotoLoadPSBT(bool from_clipboard)
-{
- std::string data;
-
- if (from_clipboard) {
- std::string raw = QApplication::clipboard()->text().toStdString();
- bool invalid;
- data = DecodeBase64(raw, &invalid);
- if (invalid) {
- Q_EMIT message(tr("Error"), tr("Unable to decode PSBT from clipboard (invalid base64)"), CClientUIInterface::MSG_ERROR);
- return;
- }
- } else {
- QString filename = GUIUtil::getOpenFileName(this,
- tr("Load Transaction Data"), QString(),
- tr("Partially Signed Transaction (*.psbt)"), nullptr);
- if (filename.isEmpty()) return;
- if (GetFileSize(filename.toLocal8Bit().data(), MAX_FILE_SIZE_PSBT) == MAX_FILE_SIZE_PSBT) {
- Q_EMIT message(tr("Error"), tr("PSBT file must be smaller than 100 MiB"), CClientUIInterface::MSG_ERROR);
- return;
- }
- std::ifstream in(filename.toLocal8Bit().data(), std::ios::binary);
- data = std::string(std::istreambuf_iterator<char>{in}, {});
- }
-
- std::string error;
- PartiallySignedTransaction psbtx;
- if (!DecodeRawPSBT(psbtx, data, error)) {
- Q_EMIT message(tr("Error"), tr("Unable to decode PSBT") + "\n" + QString::fromStdString(error), CClientUIInterface::MSG_ERROR);
- return;
- }
-
- PSBTOperationsDialog* dlg = new PSBTOperationsDialog(this, walletModel, clientModel);
- dlg->openWithPSBT(psbtx);
- dlg->setAttribute(Qt::WA_DeleteOnClose);
- dlg->exec();
-}
-
bool WalletView::handlePaymentRequest(const SendCoinsRecipient& recipient)
{
return sendCoinsPage->handlePaymentRequest(recipient);
@@ -253,27 +203,20 @@ void WalletView::showOutOfSyncWarning(bool fShow)
overviewPage->showOutOfSyncWarning(fShow);
}
-void WalletView::updateEncryptionStatus()
-{
- Q_EMIT encryptionStatusChanged();
-}
-
void WalletView::encryptWallet()
{
- if(!walletModel)
- return;
- AskPassphraseDialog dlg(AskPassphraseDialog::Encrypt, this);
- dlg.setModel(walletModel);
- dlg.exec();
-
- updateEncryptionStatus();
+ auto dlg = new AskPassphraseDialog(AskPassphraseDialog::Encrypt, this);
+ dlg->setModel(walletModel);
+ connect(dlg, &QDialog::finished, this, &WalletView::encryptionStatusChanged);
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
void WalletView::backupWallet()
{
QString filename = GUIUtil::getSaveFileName(this,
tr("Backup Wallet"), QString(),
- tr("Wallet Data (*.dat)"), nullptr);
+ //: Name of the wallet data file format.
+ tr("Wallet Data") + QLatin1String(" (*.dat)"), nullptr);
if (filename.isEmpty())
return;
@@ -290,37 +233,30 @@ void WalletView::backupWallet()
void WalletView::changePassphrase()
{
- AskPassphraseDialog dlg(AskPassphraseDialog::ChangePass, this);
- dlg.setModel(walletModel);
- dlg.exec();
+ auto dlg = new AskPassphraseDialog(AskPassphraseDialog::ChangePass, this);
+ dlg->setModel(walletModel);
+ GUIUtil::ShowModalDialogAsynchronously(dlg);
}
void WalletView::unlockWallet()
{
- if(!walletModel)
- return;
// Unlock wallet when requested by wallet model
- if (walletModel->getEncryptionStatus() == WalletModel::Locked)
- {
+ if (walletModel->getEncryptionStatus() == WalletModel::Locked) {
AskPassphraseDialog dlg(AskPassphraseDialog::Unlock, this);
dlg.setModel(walletModel);
+ // A modal dialog must be synchronous here as expected
+ // in the WalletModel::requestUnlock() function.
dlg.exec();
}
}
void WalletView::usedSendingAddresses()
{
- if(!walletModel)
- return;
-
GUIUtil::bringToFront(usedSendingAddressesPage);
}
void WalletView::usedReceivingAddresses()
{
- if(!walletModel)
- return;
-
GUIUtil::bringToFront(usedReceivingAddressesPage);
}
@@ -330,7 +266,6 @@ void WalletView::showProgress(const QString &title, int nProgress)
progressDialog = new QProgressDialog(title, tr("Cancel"), 0, 100);
GUIUtil::PolishProgressDialog(progressDialog);
progressDialog->setWindowModality(Qt::ApplicationModal);
- progressDialog->setMinimumDuration(0);
progressDialog->setAutoClose(false);
progressDialog->setValue(0);
} else if (nProgress == 100) {
@@ -347,8 +282,3 @@ void WalletView::showProgress(const QString &title, int nProgress)
}
}
}
-
-void WalletView::requestedSyncWarningInfo()
-{
- Q_EMIT outOfSyncWarningClicked();
-}
diff --git a/src/qt/walletview.h b/src/qt/walletview.h
index 68f8a5e95b..2f9d344bc8 100644
--- a/src/qt/walletview.h
+++ b/src/qt/walletview.h
@@ -1,11 +1,11 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_QT_WALLETVIEW_H
#define BITCOIN_QT_WALLETVIEW_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <QStackedWidget>
@@ -35,19 +35,14 @@ class WalletView : public QStackedWidget
Q_OBJECT
public:
- explicit WalletView(const PlatformStyle *platformStyle, QWidget *parent);
+ explicit WalletView(WalletModel* wallet_model, const PlatformStyle* platformStyle, QWidget* parent);
~WalletView();
/** Set the client model.
The client model represents the part of the core that communicates with the P2P network, and is wallet-agnostic.
*/
void setClientModel(ClientModel *clientModel);
- WalletModel *getWalletModel() { return walletModel; }
- /** Set the wallet model.
- The wallet model represents a bitcoin wallet, and offers access to the list of transactions, address book and sending
- functionality.
- */
- void setWalletModel(WalletModel *walletModel);
+ WalletModel* getWalletModel() const noexcept { return walletModel; }
bool handlePaymentRequest(const SendCoinsRecipient& recipient);
@@ -55,7 +50,12 @@ public:
private:
ClientModel *clientModel;
- WalletModel *walletModel;
+
+ //!
+ //! The wallet model represents a bitcoin wallet, and offers access to
+ //! the list of transactions, address book and sending functionality.
+ //!
+ WalletModel* const walletModel;
OverviewPage *overviewPage;
QWidget *transactionsPage;
@@ -83,8 +83,6 @@ public Q_SLOTS:
void gotoSignMessageTab(QString addr = "");
/** Show Sign/Verify Message dialog and switch to verify message tab */
void gotoVerifyMessageTab(QString addr = "");
- /** Load Partially Signed Bitcoin Transaction */
- void gotoLoadPSBT(bool from_clipboard = false);
/** Show incoming transaction notification for new transactions.
@@ -105,15 +103,9 @@ public Q_SLOTS:
/** Show used receiving addresses */
void usedReceivingAddresses();
- /** Re-emit encryption status signal */
- void updateEncryptionStatus();
-
/** Show progress dialog e.g. for rescan */
void showProgress(const QString &title, int nProgress);
- /** User has requested more information about the out of sync state */
- void requestedSyncWarningInfo();
-
Q_SIGNALS:
void setPrivacy(bool privacy);
void transactionClicked();
@@ -122,8 +114,6 @@ Q_SIGNALS:
void message(const QString &title, const QString &message, unsigned int style);
/** Encryption status of wallet changed */
void encryptionStatusChanged();
- /** HD-Enabled status of wallet changed (only possible during startup) */
- void hdEnabledStatusChanged();
/** Notify that a new transaction appeared */
void incomingTransaction(const QString& date, int unit, const CAmount& amount, const QString& type, const QString& address, const QString& label, const QString& walletName);
/** Notify that the out of sync warning icon has been pressed */
diff --git a/src/qt/winshutdownmonitor.h b/src/qt/winshutdownmonitor.h
index 8edb98c744..72655da3da 100644
--- a/src/qt/winshutdownmonitor.h
+++ b/src/qt/winshutdownmonitor.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2014-2018 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -17,7 +17,7 @@ class WinShutdownMonitor : public QAbstractNativeEventFilter
{
public:
/** Implements QAbstractNativeEventFilter interface for processing Windows messages */
- bool nativeEventFilter(const QByteArray &eventType, void *pMessage, long *pnResult);
+ bool nativeEventFilter(const QByteArray &eventType, void *pMessage, long *pnResult) override;
/** Register the reason for blocking shutdown on Windows to allow clean client exit */
static void registerShutdownBlockReason(const QString& strReason, const HWND& mainWinId);
diff --git a/src/random.cpp b/src/random.cpp
index 9900825abb..b862510524 100644
--- a/src/random.cpp
+++ b/src/random.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,6 +19,7 @@
#include <sync.h> // for Mutex
#include <util/time.h> // for GetTimeMicros()
+#include <cmath>
#include <stdlib.h>
#include <thread>
@@ -31,10 +32,8 @@
#include <sys/syscall.h>
#include <linux/random.h>
#endif
-#if defined(HAVE_GETENTROPY) || (defined(HAVE_GETENTROPY_RAND) && defined(MAC_OSX))
-#include <unistd.h>
-#endif
#if defined(HAVE_GETENTROPY_RAND) && defined(MAC_OSX)
+#include <unistd.h>
#include <sys/random.h>
#endif
#ifdef HAVE_SYSCTL_ARND
@@ -304,16 +303,14 @@ void GetOSRand(unsigned char *ent32)
RandFailure();
}
}
-#elif defined(HAVE_GETENTROPY) && defined(__OpenBSD__)
- /* On OpenBSD this can return up to 256 bytes of entropy, will return an
- * error if more are requested.
- * The call cannot return less than the requested number of bytes.
- getentropy is explicitly limited to openbsd here, as a similar (but not
- the same) function may exist on other platforms via glibc.
+#elif defined(__OpenBSD__)
+ /* OpenBSD. From the arc4random(3) man page:
+ "Use of these functions is encouraged for almost all random number
+ consumption because the other interfaces are deficient in either
+ quality, portability, standardization, or availability."
+ The function call is always successful.
*/
- if (getentropy(ent32, NUM_OS_RANDOM_BYTES) != 0) {
- RandFailure();
- }
+ arc4random_buf(ent32, NUM_OS_RANDOM_BYTES);
// Silence a compiler warning about unused function.
(void)GetDevURandom;
#elif defined(HAVE_GETENTROPY_RAND) && defined(MAC_OSX)
@@ -628,7 +625,7 @@ std::vector<unsigned char> FastRandomContext::randbytes(size_t len)
if (requires_seed) RandomSeed();
std::vector<unsigned char> ret(len);
if (len > 0) {
- rng.Keystream(&ret[0], len);
+ rng.Keystream(ret.data(), len);
}
return ret;
}
@@ -714,3 +711,9 @@ void RandomInit()
ReportHardwareRand();
}
+
+std::chrono::microseconds GetExponentialRand(std::chrono::microseconds now, std::chrono::seconds average_interval)
+{
+ double unscaled = -std::log1p(GetRand(uint64_t{1} << 48) * -0.0000000000000035527136788 /* -1/2^48 */);
+ return now + std::chrono::duration_cast<std::chrono::microseconds>(unscaled * average_interval + 0.5us);
+}
diff --git a/src/random.h b/src/random.h
index 0c6dc24983..97302d61ab 100644
--- a/src/random.h
+++ b/src/random.h
@@ -10,7 +10,7 @@
#include <crypto/common.h>
#include <uint256.h>
-#include <chrono> // For std::chrono::microseconds
+#include <chrono>
#include <cstdint>
#include <limits>
@@ -82,6 +82,18 @@ D GetRandomDuration(typename std::common_type<D>::type max) noexcept
};
constexpr auto GetRandMicros = GetRandomDuration<std::chrono::microseconds>;
constexpr auto GetRandMillis = GetRandomDuration<std::chrono::milliseconds>;
+
+/**
+ * Return a timestamp in the future sampled from an exponential distribution
+ * (https://en.wikipedia.org/wiki/Exponential_distribution). This distribution
+ * is memoryless and should be used for repeated network events (e.g. sending a
+ * certain type of message) to minimize leaking information to observers.
+ *
+ * The probability of an event occurring before time x is 1 - e^-(x/a) where a
+ * is the average interval between events.
+ * */
+std::chrono::microseconds GetExponentialRand(std::chrono::microseconds now, std::chrono::seconds average_interval);
+
int GetRandInt(int nMax) noexcept;
uint256 GetRandHash() noexcept;
diff --git a/src/randomenv.cpp b/src/randomenv.cpp
index 9248db1539..388841289a 100644
--- a/src/randomenv.cpp
+++ b/src/randomenv.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -38,7 +38,7 @@
#include <sys/utsname.h>
#include <unistd.h>
#endif
-#if HAVE_DECL_GETIFADDRS
+#if HAVE_DECL_GETIFADDRS && HAVE_DECL_FREEIFADDRS
#include <ifaddrs.h>
#endif
#if HAVE_SYSCTL
@@ -53,7 +53,7 @@
#include <sys/vmmeter.h>
#endif
#endif
-#if defined(HAVE_STRONG_GETAUXVAL) || defined(HAVE_WEAK_GETAUXVAL)
+#if defined(HAVE_STRONG_GETAUXVAL)
#include <sys/auxv.h>
#endif
@@ -326,7 +326,7 @@ void RandAddStaticEnv(CSHA512& hasher)
// Bitcoin client version
hasher << CLIENT_VERSION;
-#if defined(HAVE_STRONG_GETAUXVAL) || defined(HAVE_WEAK_GETAUXVAL)
+#if defined(HAVE_STRONG_GETAUXVAL)
// Information available through getauxval()
# ifdef AT_HWCAP
hasher << getauxval(AT_HWCAP);
@@ -346,7 +346,7 @@ void RandAddStaticEnv(CSHA512& hasher)
const char* exec_str = (const char*)getauxval(AT_EXECFN);
if (exec_str) hasher.Write((const unsigned char*)exec_str, strlen(exec_str) + 1);
# endif
-#endif // HAVE_STRONG_GETAUXVAL || HAVE_WEAK_GETAUXVAL
+#endif // HAVE_STRONG_GETAUXVAL
#ifdef HAVE_GETCPUID
AddAllCPUID(hasher);
@@ -361,7 +361,7 @@ void RandAddStaticEnv(CSHA512& hasher)
hasher.Write((const unsigned char*)hname, strnlen(hname, 256));
}
-#if HAVE_DECL_GETIFADDRS
+#if HAVE_DECL_GETIFADDRS && HAVE_DECL_FREEIFADDRS
// Network interfaces
struct ifaddrs *ifad = NULL;
getifaddrs(&ifad);
diff --git a/src/randomenv.h b/src/randomenv.h
index 46cea6f6f2..b192ff40e0 100644
--- a/src/randomenv.h
+++ b/src/randomenv.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,4 +14,4 @@ void RandAddDynamicEnv(CSHA512& hasher);
/** Gather non-cryptographic environment data that does not change over time. */
void RandAddStaticEnv(CSHA512& hasher);
-#endif
+#endif // BITCOIN_RANDOMENV_H
diff --git a/src/rest.cpp b/src/rest.cpp
index 71426a4dc4..063872b47a 100644
--- a/src/rest.cpp
+++ b/src/rest.cpp
@@ -1,32 +1,44 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <blockfilter.h>
#include <chain.h>
#include <chainparams.h>
#include <core_io.h>
#include <httpserver.h>
+#include <index/blockfilterindex.h>
#include <index/txindex.h>
+#include <node/blockstorage.h>
#include <node/context.h>
#include <primitives/block.h>
#include <primitives/transaction.h>
#include <rpc/blockchain.h>
#include <rpc/protocol.h>
#include <rpc/server.h>
+#include <rpc/server_util.h>
#include <streams.h>
#include <sync.h>
#include <txmempool.h>
#include <util/check.h>
-#include <util/ref.h>
+#include <util/system.h>
#include <validation.h>
#include <version.h>
+#include <any>
+
#include <boost/algorithm/string.hpp>
#include <univalue.h>
+using node::GetTransaction;
+using node::IsBlockPruned;
+using node::NodeContext;
+using node::ReadBlockFromDisk;
+
static const size_t MAX_GETUTXOS_OUTPOINTS = 15; //allow a max of 15 outpoints to be queried at once
+static constexpr unsigned int MAX_REST_HEADERS_RESULTS = 2000;
enum class RetFormat {
UNDEF,
@@ -73,10 +85,10 @@ static bool RESTERR(HTTPRequest* req, enum HTTPStatusCode status, std::string me
* context is not found.
* @returns Pointer to the node context or nullptr if not found.
*/
-static NodeContext* GetNodeContext(const util::Ref& context, HTTPRequest* req)
+static NodeContext* GetNodeContext(const std::any& context, HTTPRequest* req)
{
- NodeContext* node = context.Has<NodeContext>() ? &context.Get<NodeContext>() : nullptr;
- if (!node) {
+ auto node_context = util::AnyPtr<NodeContext>(context);
+ if (!node_context) {
RESTERR(req, HTTP_INTERNAL_SERVER_ERROR,
strprintf("%s:%d (%s)\n"
"Internal bug detected: Node context not found!\n"
@@ -84,7 +96,7 @@ static NodeContext* GetNodeContext(const util::Ref& context, HTTPRequest* req)
__FILE__, __LINE__, __func__, PACKAGE_BUGREPORT));
return nullptr;
}
- return node;
+ return node_context;
}
/**
@@ -94,14 +106,35 @@ static NodeContext* GetNodeContext(const util::Ref& context, HTTPRequest* req)
* context mempool is not found.
* @returns Pointer to the mempool or nullptr if no mempool found.
*/
-static CTxMemPool* GetMemPool(const util::Ref& context, HTTPRequest* req)
+static CTxMemPool* GetMemPool(const std::any& context, HTTPRequest* req)
{
- NodeContext* node = context.Has<NodeContext>() ? &context.Get<NodeContext>() : nullptr;
- if (!node || !node->mempool) {
+ auto node_context = util::AnyPtr<NodeContext>(context);
+ if (!node_context || !node_context->mempool) {
RESTERR(req, HTTP_NOT_FOUND, "Mempool disabled or instance not found");
return nullptr;
}
- return node->mempool.get();
+ return node_context->mempool.get();
+}
+
+/**
+ * Get the node context chainstatemanager.
+ *
+ * @param[in] req The HTTP request, whose status code will be set if node
+ * context chainstatemanager is not found.
+ * @returns Pointer to the chainstatemanager or nullptr if none found.
+ */
+static ChainstateManager* GetChainman(const std::any& context, HTTPRequest* req)
+{
+ auto node_context = util::AnyPtr<NodeContext>(context);
+ if (!node_context || !node_context->chainman) {
+ RESTERR(req, HTTP_INTERNAL_SERVER_ERROR,
+ strprintf("%s:%d (%s)\n"
+ "Internal bug detected: Chainman disabled or instance not found!\n"
+ "You may report this issue here: %s\n",
+ __FILE__, __LINE__, __func__, PACKAGE_BUGREPORT));
+ return nullptr;
+ }
+ return node_context->chainman.get();
}
static RetFormat ParseDataFormat(std::string& param, const std::string& strReq)
@@ -151,7 +184,7 @@ static bool CheckWarmup(HTTPRequest* req)
return true;
}
-static bool rest_headers(const util::Ref& context,
+static bool rest_headers(const std::any& context,
HTTPRequest* req,
const std::string& strURIPart)
{
@@ -165,9 +198,10 @@ static bool rest_headers(const util::Ref& context,
if (path.size() != 2)
return RESTERR(req, HTTP_BAD_REQUEST, "No header count specified. Use /rest/headers/<count>/<hash>.<ext>.");
- long count = strtol(path[0].c_str(), nullptr, 10);
- if (count < 1 || count > 2000)
- return RESTERR(req, HTTP_BAD_REQUEST, "Header count out of range: " + path[0]);
+ const auto parsed_count{ToIntegral<size_t>(path[0])};
+ if (!parsed_count.has_value() || *parsed_count < 1 || *parsed_count > MAX_REST_HEADERS_RESULTS) {
+ return RESTERR(req, HTTP_BAD_REQUEST, strprintf("Header count is invalid or out of acceptable range (1-%u): %s", MAX_REST_HEADERS_RESULTS, path[0]));
+ }
std::string hashStr = path[1];
uint256 hash;
@@ -175,17 +209,22 @@ static bool rest_headers(const util::Ref& context,
return RESTERR(req, HTTP_BAD_REQUEST, "Invalid hash: " + hashStr);
const CBlockIndex* tip = nullptr;
- std::vector<const CBlockIndex *> headers;
- headers.reserve(count);
+ std::vector<const CBlockIndex*> headers;
+ headers.reserve(*parsed_count);
{
+ ChainstateManager* maybe_chainman = GetChainman(context, req);
+ if (!maybe_chainman) return false;
+ ChainstateManager& chainman = *maybe_chainman;
LOCK(cs_main);
- tip = ::ChainActive().Tip();
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(hash);
- while (pindex != nullptr && ::ChainActive().Contains(pindex)) {
+ CChain& active_chain = chainman.ActiveChain();
+ tip = active_chain.Tip();
+ const CBlockIndex* pindex = chainman.m_blockman.LookupBlockIndex(hash);
+ while (pindex != nullptr && active_chain.Contains(pindex)) {
headers.push_back(pindex);
- if (headers.size() == (unsigned long)count)
+ if (headers.size() == *parsed_count) {
break;
- pindex = ::ChainActive().Next(pindex);
+ }
+ pindex = active_chain.Next(pindex);
}
}
@@ -224,14 +263,15 @@ static bool rest_headers(const util::Ref& context,
return true;
}
default: {
- return RESTERR(req, HTTP_NOT_FOUND, "output format not found (available: .bin, .hex, .json)");
+ return RESTERR(req, HTTP_NOT_FOUND, "output format not found (available: " + AvailableDataFormatsString() + ")");
}
}
}
-static bool rest_block(HTTPRequest* req,
+static bool rest_block(const std::any& context,
+ HTTPRequest* req,
const std::string& strURIPart,
- bool showTxDetails)
+ TxVerbosity tx_verbosity)
{
if (!CheckWarmup(req))
return false;
@@ -246,9 +286,12 @@ static bool rest_block(HTTPRequest* req,
CBlockIndex* pblockindex = nullptr;
CBlockIndex* tip = nullptr;
{
+ ChainstateManager* maybe_chainman = GetChainman(context, req);
+ if (!maybe_chainman) return false;
+ ChainstateManager& chainman = *maybe_chainman;
LOCK(cs_main);
- tip = ::ChainActive().Tip();
- pblockindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ tip = chainman.ActiveChain().Tip();
+ pblockindex = chainman.m_blockman.LookupBlockIndex(hash);
if (!pblockindex) {
return RESTERR(req, HTTP_NOT_FOUND, hashStr + " not found");
}
@@ -280,7 +323,7 @@ static bool rest_block(HTTPRequest* req,
}
case RetFormat::JSON: {
- UniValue objBlock = blockToJSON(block, tip, pblockindex, showTxDetails);
+ UniValue objBlock = blockToJSON(block, tip, pblockindex, tx_verbosity);
std::string strJSON = objBlock.write() + "\n";
req->WriteHeader("Content-Type", "application/json");
req->WriteReply(HTTP_OK, strJSON);
@@ -293,20 +336,223 @@ static bool rest_block(HTTPRequest* req,
}
}
-static bool rest_block_extended(const util::Ref& context, HTTPRequest* req, const std::string& strURIPart)
+static bool rest_block_extended(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
+{
+ return rest_block(context, req, strURIPart, TxVerbosity::SHOW_DETAILS_AND_PREVOUT);
+}
+
+static bool rest_block_notxdetails(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
{
- return rest_block(req, strURIPart, true);
+ return rest_block(context, req, strURIPart, TxVerbosity::SHOW_TXID);
}
-static bool rest_block_notxdetails(const util::Ref& context, HTTPRequest* req, const std::string& strURIPart)
+static bool rest_filter_header(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
{
- return rest_block(req, strURIPart, false);
+ if (!CheckWarmup(req)) return false;
+
+ std::string param;
+ const RetFormat rf = ParseDataFormat(param, strURIPart);
+
+ std::vector<std::string> uri_parts;
+ boost::split(uri_parts, param, boost::is_any_of("/"));
+ if (uri_parts.size() != 3) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Invalid URI format. Expected /rest/blockfilterheaders/<filtertype>/<count>/<blockhash>");
+ }
+
+ uint256 block_hash;
+ if (!ParseHashStr(uri_parts[2], block_hash)) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Invalid hash: " + uri_parts[2]);
+ }
+
+ BlockFilterType filtertype;
+ if (!BlockFilterTypeByName(uri_parts[0], filtertype)) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Unknown filtertype " + uri_parts[0]);
+ }
+
+ BlockFilterIndex* index = GetBlockFilterIndex(filtertype);
+ if (!index) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Index is not enabled for filtertype " + uri_parts[0]);
+ }
+
+ const auto parsed_count{ToIntegral<size_t>(uri_parts[1])};
+ if (!parsed_count.has_value() || *parsed_count < 1 || *parsed_count > MAX_REST_HEADERS_RESULTS) {
+ return RESTERR(req, HTTP_BAD_REQUEST, strprintf("Header count is invalid or out of acceptable range (1-%u): %s", MAX_REST_HEADERS_RESULTS, uri_parts[1]));
+ }
+
+ std::vector<const CBlockIndex*> headers;
+ headers.reserve(*parsed_count);
+ {
+ ChainstateManager* maybe_chainman = GetChainman(context, req);
+ if (!maybe_chainman) return false;
+ ChainstateManager& chainman = *maybe_chainman;
+ LOCK(cs_main);
+ CChain& active_chain = chainman.ActiveChain();
+ const CBlockIndex* pindex = chainman.m_blockman.LookupBlockIndex(block_hash);
+ while (pindex != nullptr && active_chain.Contains(pindex)) {
+ headers.push_back(pindex);
+ if (headers.size() == *parsed_count)
+ break;
+ pindex = active_chain.Next(pindex);
+ }
+ }
+
+ bool index_ready = index->BlockUntilSyncedToCurrentChain();
+
+ std::vector<uint256> filter_headers;
+ filter_headers.reserve(*parsed_count);
+ for (const CBlockIndex* pindex : headers) {
+ uint256 filter_header;
+ if (!index->LookupFilterHeader(pindex, filter_header)) {
+ std::string errmsg = "Filter not found.";
+
+ if (!index_ready) {
+ errmsg += " Block filters are still in the process of being indexed.";
+ } else {
+ errmsg += " This error is unexpected and indicates index corruption.";
+ }
+
+ return RESTERR(req, HTTP_NOT_FOUND, errmsg);
+ }
+ filter_headers.push_back(filter_header);
+ }
+
+ switch (rf) {
+ case RetFormat::BINARY: {
+ CDataStream ssHeader{SER_NETWORK, PROTOCOL_VERSION};
+ for (const uint256& header : filter_headers) {
+ ssHeader << header;
+ }
+
+ std::string binaryHeader = ssHeader.str();
+ req->WriteHeader("Content-Type", "application/octet-stream");
+ req->WriteReply(HTTP_OK, binaryHeader);
+ return true;
+ }
+ case RetFormat::HEX: {
+ CDataStream ssHeader{SER_NETWORK, PROTOCOL_VERSION};
+ for (const uint256& header : filter_headers) {
+ ssHeader << header;
+ }
+
+ std::string strHex = HexStr(ssHeader) + "\n";
+ req->WriteHeader("Content-Type", "text/plain");
+ req->WriteReply(HTTP_OK, strHex);
+ return true;
+ }
+ case RetFormat::JSON: {
+ UniValue jsonHeaders(UniValue::VARR);
+ for (const uint256& header : filter_headers) {
+ jsonHeaders.push_back(header.GetHex());
+ }
+
+ std::string strJSON = jsonHeaders.write() + "\n";
+ req->WriteHeader("Content-Type", "application/json");
+ req->WriteReply(HTTP_OK, strJSON);
+ return true;
+ }
+ default: {
+ return RESTERR(req, HTTP_NOT_FOUND, "output format not found (available: " + AvailableDataFormatsString() + ")");
+ }
+ }
+}
+
+static bool rest_block_filter(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
+{
+ if (!CheckWarmup(req)) return false;
+
+ std::string param;
+ const RetFormat rf = ParseDataFormat(param, strURIPart);
+
+ // request is sent over URI scheme /rest/blockfilter/filtertype/blockhash
+ std::vector<std::string> uri_parts;
+ boost::split(uri_parts, param, boost::is_any_of("/"));
+ if (uri_parts.size() != 2) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Invalid URI format. Expected /rest/blockfilter/<filtertype>/<blockhash>");
+ }
+
+ uint256 block_hash;
+ if (!ParseHashStr(uri_parts[1], block_hash)) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Invalid hash: " + uri_parts[1]);
+ }
+
+ BlockFilterType filtertype;
+ if (!BlockFilterTypeByName(uri_parts[0], filtertype)) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Unknown filtertype " + uri_parts[0]);
+ }
+
+ BlockFilterIndex* index = GetBlockFilterIndex(filtertype);
+ if (!index) {
+ return RESTERR(req, HTTP_BAD_REQUEST, "Index is not enabled for filtertype " + uri_parts[0]);
+ }
+
+ const CBlockIndex* block_index;
+ bool block_was_connected;
+ {
+ ChainstateManager* maybe_chainman = GetChainman(context, req);
+ if (!maybe_chainman) return false;
+ ChainstateManager& chainman = *maybe_chainman;
+ LOCK(cs_main);
+ block_index = chainman.m_blockman.LookupBlockIndex(block_hash);
+ if (!block_index) {
+ return RESTERR(req, HTTP_NOT_FOUND, uri_parts[1] + " not found");
+ }
+ block_was_connected = block_index->IsValid(BLOCK_VALID_SCRIPTS);
+ }
+
+ bool index_ready = index->BlockUntilSyncedToCurrentChain();
+
+ BlockFilter filter;
+ if (!index->LookupFilter(block_index, filter)) {
+ std::string errmsg = "Filter not found.";
+
+ if (!block_was_connected) {
+ errmsg += " Block was not connected to active chain.";
+ } else if (!index_ready) {
+ errmsg += " Block filters are still in the process of being indexed.";
+ } else {
+ errmsg += " This error is unexpected and indicates index corruption.";
+ }
+
+ return RESTERR(req, HTTP_NOT_FOUND, errmsg);
+ }
+
+ switch (rf) {
+ case RetFormat::BINARY: {
+ CDataStream ssResp{SER_NETWORK, PROTOCOL_VERSION};
+ ssResp << filter;
+
+ std::string binaryResp = ssResp.str();
+ req->WriteHeader("Content-Type", "application/octet-stream");
+ req->WriteReply(HTTP_OK, binaryResp);
+ return true;
+ }
+ case RetFormat::HEX: {
+ CDataStream ssResp{SER_NETWORK, PROTOCOL_VERSION};
+ ssResp << filter;
+
+ std::string strHex = HexStr(ssResp) + "\n";
+ req->WriteHeader("Content-Type", "text/plain");
+ req->WriteReply(HTTP_OK, strHex);
+ return true;
+ }
+ case RetFormat::JSON: {
+ UniValue ret(UniValue::VOBJ);
+ ret.pushKV("filter", HexStr(filter.GetEncodedFilter()));
+ std::string strJSON = ret.write() + "\n";
+ req->WriteHeader("Content-Type", "application/json");
+ req->WriteReply(HTTP_OK, strJSON);
+ return true;
+ }
+ default: {
+ return RESTERR(req, HTTP_NOT_FOUND, "output format not found (available: " + AvailableDataFormatsString() + ")");
+ }
+ }
}
// A bit of a hack - dependency on a function defined in rpc/blockchain.cpp
RPCHelpMan getblockchaininfo();
-static bool rest_chaininfo(const util::Ref& context, HTTPRequest* req, const std::string& strURIPart)
+static bool rest_chaininfo(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
{
if (!CheckWarmup(req))
return false;
@@ -315,7 +561,8 @@ static bool rest_chaininfo(const util::Ref& context, HTTPRequest* req, const std
switch (rf) {
case RetFormat::JSON: {
- JSONRPCRequest jsonRequest(context);
+ JSONRPCRequest jsonRequest;
+ jsonRequest.context = context;
jsonRequest.params = UniValue(UniValue::VARR);
UniValue chainInfoObject = getblockchaininfo().HandleRequest(jsonRequest);
std::string strJSON = chainInfoObject.write() + "\n";
@@ -329,7 +576,7 @@ static bool rest_chaininfo(const util::Ref& context, HTTPRequest* req, const std
}
}
-static bool rest_mempool_info(const util::Ref& context, HTTPRequest* req, const std::string& strURIPart)
+static bool rest_mempool_info(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
{
if (!CheckWarmup(req))
return false;
@@ -353,7 +600,7 @@ static bool rest_mempool_info(const util::Ref& context, HTTPRequest* req, const
}
}
-static bool rest_mempool_contents(const util::Ref& context, HTTPRequest* req, const std::string& strURIPart)
+static bool rest_mempool_contents(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
{
if (!CheckWarmup(req)) return false;
const CTxMemPool* mempool = GetMemPool(context, req);
@@ -376,7 +623,7 @@ static bool rest_mempool_contents(const util::Ref& context, HTTPRequest* req, co
}
}
-static bool rest_tx(const util::Ref& context, HTTPRequest* req, const std::string& strURIPart)
+static bool rest_tx(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
{
if (!CheckWarmup(req))
return false;
@@ -435,7 +682,7 @@ static bool rest_tx(const util::Ref& context, HTTPRequest* req, const std::strin
}
}
-static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std::string& strURIPart)
+static bool rest_getutxos(const std::any& context, HTTPRequest* req, const std::string& strURIPart)
{
if (!CheckWarmup(req))
return false;
@@ -491,6 +738,7 @@ static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std:
// convert hex to bin, continue then with bin part
std::vector<unsigned char> strRequestV = ParseHex(strRequestMutable);
strRequestMutable.assign(strRequestV.begin(), strRequestV.end());
+ [[fallthrough]];
}
case RetFormat::BINARY: {
@@ -533,6 +781,9 @@ static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std:
std::string bitmapStringRepresentation;
std::vector<bool> hits;
bitmap.resize((vOutPoints.size() + 7) / 8);
+ ChainstateManager* maybe_chainman = GetChainman(context, req);
+ if (!maybe_chainman) return false;
+ ChainstateManager& chainman = *maybe_chainman;
{
auto process_utxos = [&vOutPoints, &outs, &hits](const CCoinsView& view, const CTxMemPool& mempool) {
for (const COutPoint& vOutPoint : vOutPoints) {
@@ -548,12 +799,12 @@ static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std:
if (!mempool) return false;
// use db+mempool as cache backend in case user likes to query mempool
LOCK2(cs_main, mempool->cs);
- CCoinsViewCache& viewChain = ::ChainstateActive().CoinsTip();
+ CCoinsViewCache& viewChain = chainman.ActiveChainstate().CoinsTip();
CCoinsViewMemPool viewMempool(&viewChain, *mempool);
process_utxos(viewMempool, *mempool);
} else {
LOCK(cs_main); // no need to lock mempool!
- process_utxos(::ChainstateActive().CoinsTip(), CTxMemPool());
+ process_utxos(chainman.ActiveChainstate().CoinsTip(), CTxMemPool());
}
for (size_t i = 0; i < hits.size(); ++i) {
@@ -568,7 +819,7 @@ static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std:
// serialize data
// use exact same output as mentioned in Bip64
CDataStream ssGetUTXOResponse(SER_NETWORK, PROTOCOL_VERSION);
- ssGetUTXOResponse << ::ChainActive().Height() << ::ChainActive().Tip()->GetBlockHash() << bitmap << outs;
+ ssGetUTXOResponse << chainman.ActiveChain().Height() << chainman.ActiveChain().Tip()->GetBlockHash() << bitmap << outs;
std::string ssGetUTXOResponseString = ssGetUTXOResponse.str();
req->WriteHeader("Content-Type", "application/octet-stream");
@@ -578,7 +829,7 @@ static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std:
case RetFormat::HEX: {
CDataStream ssGetUTXOResponse(SER_NETWORK, PROTOCOL_VERSION);
- ssGetUTXOResponse << ::ChainActive().Height() << ::ChainActive().Tip()->GetBlockHash() << bitmap << outs;
+ ssGetUTXOResponse << chainman.ActiveChain().Height() << chainman.ActiveChain().Tip()->GetBlockHash() << bitmap << outs;
std::string strHex = HexStr(ssGetUTXOResponse) + "\n";
req->WriteHeader("Content-Type", "text/plain");
@@ -591,8 +842,8 @@ static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std:
// pack in some essentials
// use more or less the same output as mentioned in Bip64
- objGetUTXOResponse.pushKV("chainHeight", ::ChainActive().Height());
- objGetUTXOResponse.pushKV("chaintipHash", ::ChainActive().Tip()->GetBlockHash().GetHex());
+ objGetUTXOResponse.pushKV("chainHeight", chainman.ActiveChain().Height());
+ objGetUTXOResponse.pushKV("chaintipHash", chainman.ActiveChain().Tip()->GetBlockHash().GetHex());
objGetUTXOResponse.pushKV("bitmap", bitmapStringRepresentation);
UniValue utxos(UniValue::VARR);
@@ -621,7 +872,7 @@ static bool rest_getutxos(const util::Ref& context, HTTPRequest* req, const std:
}
}
-static bool rest_blockhash_by_height(const util::Ref& context, HTTPRequest* req,
+static bool rest_blockhash_by_height(const std::any& context, HTTPRequest* req,
const std::string& str_uri_part)
{
if (!CheckWarmup(req)) return false;
@@ -635,11 +886,15 @@ static bool rest_blockhash_by_height(const util::Ref& context, HTTPRequest* req,
CBlockIndex* pblockindex = nullptr;
{
+ ChainstateManager* maybe_chainman = GetChainman(context, req);
+ if (!maybe_chainman) return false;
+ ChainstateManager& chainman = *maybe_chainman;
LOCK(cs_main);
- if (blockheight > ::ChainActive().Height()) {
+ const CChain& active_chain = chainman.ActiveChain();
+ if (blockheight > active_chain.Height()) {
return RESTERR(req, HTTP_NOT_FOUND, "Block height out of range");
}
- pblockindex = ::ChainActive()[blockheight];
+ pblockindex = active_chain[blockheight];
}
switch (rf) {
case RetFormat::BINARY: {
@@ -669,11 +924,13 @@ static bool rest_blockhash_by_height(const util::Ref& context, HTTPRequest* req,
static const struct {
const char* prefix;
- bool (*handler)(const util::Ref& context, HTTPRequest* req, const std::string& strReq);
+ bool (*handler)(const std::any& context, HTTPRequest* req, const std::string& strReq);
} uri_prefixes[] = {
{"/rest/tx/", rest_tx},
{"/rest/block/notxdetails/", rest_block_notxdetails},
{"/rest/block/", rest_block_extended},
+ {"/rest/blockfilter/", rest_block_filter},
+ {"/rest/blockfilterheaders/", rest_filter_header},
{"/rest/chaininfo", rest_chaininfo},
{"/rest/mempool/info", rest_mempool_info},
{"/rest/mempool/contents", rest_mempool_contents},
@@ -682,10 +939,10 @@ static const struct {
{"/rest/blockhashbyheight/", rest_blockhash_by_height},
};
-void StartREST(const util::Ref& context)
+void StartREST(const std::any& context)
{
for (const auto& up : uri_prefixes) {
- auto handler = [&context, up](HTTPRequest* req, const std::string& prefix) { return up.handler(context, req, prefix); };
+ auto handler = [context, up](HTTPRequest* req, const std::string& prefix) { return up.handler(context, req, prefix); };
RegisterHTTPHandler(up.prefix, false, handler);
}
}
diff --git a/src/rpc/blockchain.cpp b/src/rpc/blockchain.cpp
index ab0c0b8385..69204e346a 100644
--- a/src/rpc/blockchain.cpp
+++ b/src/rpc/blockchain.cpp
@@ -1,19 +1,28 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2022 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <rpc/blockchain.h>
-#include <amount.h>
#include <blockfilter.h>
#include <chain.h>
#include <chainparams.h>
#include <coins.h>
+#include <consensus/amount.h>
+#include <consensus/params.h>
#include <consensus/validation.h>
#include <core_io.h>
+#include <deploymentinfo.h>
+#include <deploymentstatus.h>
+#include <fs.h>
#include <hash.h>
#include <index/blockfilterindex.h>
+#include <index/coinstatsindex.h>
+#include <logging/timer.h>
+#include <net.h>
+#include <net_processing.h>
+#include <node/blockstorage.h>
#include <node/coinstats.h>
#include <node/context.h>
#include <node/utxo_snapshot.h>
@@ -23,6 +32,7 @@
#include <policy/rbf.h>
#include <primitives/transaction.h>
#include <rpc/server.h>
+#include <rpc/server_util.h>
#include <rpc/util.h>
#include <script/descriptor.h>
#include <streams.h>
@@ -30,12 +40,12 @@
#include <txdb.h>
#include <txmempool.h>
#include <undo.h>
-#include <util/ref.h>
#include <util/strencodings.h>
-#include <util/system.h>
+#include <util/string.h>
#include <util/translation.h>
#include <validation.h>
#include <validationinterface.h>
+#include <versionbits.h>
#include <warnings.h>
#include <stdint.h>
@@ -46,6 +56,16 @@
#include <memory>
#include <mutex>
+using node::BlockManager;
+using node::CCoinsStats;
+using node::CoinStatsHashType;
+using node::GetUTXOStats;
+using node::IsBlockPruned;
+using node::NodeContext;
+using node::ReadBlockFromDisk;
+using node::SnapshotMetadata;
+using node::UndoReadFromDisk;
+
struct CUpdatedBlock
{
uint256 hash;
@@ -56,41 +76,6 @@ static Mutex cs_blockchange;
static std::condition_variable cond_blockchange;
static CUpdatedBlock latestblock GUARDED_BY(cs_blockchange);
-NodeContext& EnsureNodeContext(const util::Ref& context)
-{
- if (!context.Has<NodeContext>()) {
- throw JSONRPCError(RPC_INTERNAL_ERROR, "Node context not found");
- }
- return context.Get<NodeContext>();
-}
-
-CTxMemPool& EnsureMemPool(const util::Ref& context)
-{
- const NodeContext& node = EnsureNodeContext(context);
- if (!node.mempool) {
- throw JSONRPCError(RPC_CLIENT_MEMPOOL_DISABLED, "Mempool disabled or instance not found");
- }
- return *node.mempool;
-}
-
-ChainstateManager& EnsureChainman(const util::Ref& context)
-{
- const NodeContext& node = EnsureNodeContext(context);
- if (!node.chainman) {
- throw JSONRPCError(RPC_INTERNAL_ERROR, "Node chainman not found");
- }
- return *node.chainman;
-}
-
-CBlockPolicyEstimator& EnsureFeeEstimator(const util::Ref& context)
-{
- NodeContext& node = EnsureNodeContext(context);
- if (!node.fee_estimator) {
- throw JSONRPCError(RPC_INTERNAL_ERROR, "Fee estimation disabled");
- }
- return *node.fee_estimator;
-}
-
/* Calculate the difficulty for a given block index.
*/
double GetDifficulty(const CBlockIndex* blockindex)
@@ -125,6 +110,33 @@ static int ComputeNextBlockAndDepth(const CBlockIndex* tip, const CBlockIndex* b
return blockindex == tip ? 1 : -1;
}
+CBlockIndex* ParseHashOrHeight(const UniValue& param, ChainstateManager& chainman) {
+ LOCK(::cs_main);
+ CChain& active_chain = chainman.ActiveChain();
+
+ if (param.isNum()) {
+ const int height{param.get_int()};
+ if (height < 0) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Target block height %d is negative", height));
+ }
+ const int current_tip{active_chain.Height()};
+ if (height > current_tip) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Target block height %d after current tip %d", height, current_tip));
+ }
+
+ return active_chain[height];
+ } else {
+ const uint256 hash{ParseHashV(param, "hash_or_height")};
+ CBlockIndex* pindex = chainman.m_blockman.LookupBlockIndex(hash);
+
+ if (!pindex) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
+ }
+
+ return pindex;
+ }
+}
+
UniValue blockheaderToJSON(const CBlockIndex* tip, const CBlockIndex* blockindex)
{
// Serialize passed information without accessing chain state of the active chain!
@@ -154,7 +166,7 @@ UniValue blockheaderToJSON(const CBlockIndex* tip, const CBlockIndex* blockindex
return result;
}
-UniValue blockToJSON(const CBlock& block, const CBlockIndex* tip, const CBlockIndex* blockindex, bool txDetails)
+UniValue blockToJSON(const CBlock& block, const CBlockIndex* tip, const CBlockIndex* blockindex, TxVerbosity verbosity)
{
UniValue result = blockheaderToJSON(tip, blockindex);
@@ -162,22 +174,30 @@ UniValue blockToJSON(const CBlock& block, const CBlockIndex* tip, const CBlockIn
result.pushKV("size", (int)::GetSerializeSize(block, PROTOCOL_VERSION));
result.pushKV("weight", (int)::GetBlockWeight(block));
UniValue txs(UniValue::VARR);
- if (txDetails) {
- CBlockUndo blockUndo;
- const bool have_undo = !IsBlockPruned(blockindex) && UndoReadFromDisk(blockUndo, blockindex);
- for (size_t i = 0; i < block.vtx.size(); ++i) {
- const CTransactionRef& tx = block.vtx.at(i);
- // coinbase transaction (i == 0) doesn't have undo data
- const CTxUndo* txundo = (have_undo && i) ? &blockUndo.vtxundo.at(i - 1) : nullptr;
- UniValue objTx(UniValue::VOBJ);
- TxToUniv(*tx, uint256(), objTx, true, RPCSerializationFlags(), txundo);
- txs.push_back(objTx);
- }
- } else {
- for (const CTransactionRef& tx : block.vtx) {
- txs.push_back(tx->GetHash().GetHex());
- }
+
+ switch (verbosity) {
+ case TxVerbosity::SHOW_TXID:
+ for (const CTransactionRef& tx : block.vtx) {
+ txs.push_back(tx->GetHash().GetHex());
+ }
+ break;
+
+ case TxVerbosity::SHOW_DETAILS:
+ case TxVerbosity::SHOW_DETAILS_AND_PREVOUT:
+ CBlockUndo blockUndo;
+ const bool have_undo{WITH_LOCK(::cs_main, return !IsBlockPruned(blockindex) && UndoReadFromDisk(blockUndo, blockindex))};
+
+ for (size_t i = 0; i < block.vtx.size(); ++i) {
+ const CTransactionRef& tx = block.vtx.at(i);
+ // coinbase transaction (i.e. i == 0) doesn't have undo data
+ const CTxUndo* txundo = (have_undo && i > 0) ? &blockUndo.vtxundo.at(i - 1) : nullptr;
+ UniValue objTx(UniValue::VOBJ);
+ TxToUniv(*tx, uint256(), objTx, true, RPCSerializationFlags(), txundo, verbosity);
+ txs.push_back(objTx);
+ }
+ break;
}
+
result.pushKV("tx", txs);
return result;
@@ -197,8 +217,9 @@ static RPCHelpMan getblockcount()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- return ::ChainActive().Height();
+ return chainman.ActiveChain().Height();
},
};
}
@@ -216,8 +237,9 @@ static RPCHelpMan getbestblockhash()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- return ::ChainActive().Tip()->GetBlockHash().GetHex();
+ return chainman.ActiveChain().Tip()->GetBlockHash().GetHex();
},
};
}
@@ -238,7 +260,7 @@ static RPCHelpMan waitfornewblock()
"\nWaits for a specific new block and returns useful info about it.\n"
"\nReturns the current block on timeout or exit.\n",
{
- {"timeout", RPCArg::Type::NUM, /* default */ "0", "Time in milliseconds to wait for a response. 0 indicates no timeout."},
+ {"timeout", RPCArg::Type::NUM, RPCArg::Default{0}, "Time in milliseconds to wait for a response. 0 indicates no timeout."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -281,7 +303,7 @@ static RPCHelpMan waitforblock()
"\nReturns the current block on timeout or exit.\n",
{
{"blockhash", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "Block hash to wait for."},
- {"timeout", RPCArg::Type::NUM, /* default */ "0", "Time in milliseconds to wait for a response. 0 indicates no timeout."},
+ {"timeout", RPCArg::Type::NUM, RPCArg::Default{0}, "Time in milliseconds to wait for a response. 0 indicates no timeout."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -328,7 +350,7 @@ static RPCHelpMan waitforblockheight()
"\nReturns the current block on timeout or exit.\n",
{
{"height", RPCArg::Type::NUM, RPCArg::Optional::NO, "Block height to wait for."},
- {"timeout", RPCArg::Type::NUM, /* default */ "0", "Time in milliseconds to wait for a response. 0 indicates no timeout."},
+ {"timeout", RPCArg::Type::NUM, RPCArg::Default{0}, "Time in milliseconds to wait for a response. 0 indicates no timeout."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -397,8 +419,9 @@ static RPCHelpMan getdifficulty()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- return GetDifficulty(::ChainActive().Tip());
+ return GetDifficulty(chainman.ActiveChain().Tip());
},
};
}
@@ -406,23 +429,30 @@ static RPCHelpMan getdifficulty()
static std::vector<RPCResult> MempoolEntryDescription() { return {
RPCResult{RPCResult::Type::NUM, "vsize", "virtual transaction size as defined in BIP 141. This is different from actual serialized size for witness transactions as witness data is discounted."},
RPCResult{RPCResult::Type::NUM, "weight", "transaction weight as defined in BIP 141."},
- RPCResult{RPCResult::Type::STR_AMOUNT, "fee", "transaction fee in " + CURRENCY_UNIT + " (DEPRECATED)"},
- RPCResult{RPCResult::Type::STR_AMOUNT, "modifiedfee", "transaction fee with fee deltas used for mining priority (DEPRECATED)"},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "fee", /*optional=*/true,
+ "transaction fee, denominated in " + CURRENCY_UNIT + " (DEPRECATED, returned only if config option -deprecatedrpc=fees is passed)"},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "modifiedfee", /*optional=*/true,
+ "transaction fee with fee deltas used for mining priority, denominated in " + CURRENCY_UNIT +
+ " (DEPRECATED, returned only if config option -deprecatedrpc=fees is passed)"},
RPCResult{RPCResult::Type::NUM_TIME, "time", "local time transaction entered pool in seconds since 1 Jan 1970 GMT"},
RPCResult{RPCResult::Type::NUM, "height", "block height when transaction entered pool"},
RPCResult{RPCResult::Type::NUM, "descendantcount", "number of in-mempool descendant transactions (including this one)"},
RPCResult{RPCResult::Type::NUM, "descendantsize", "virtual transaction size of in-mempool descendants (including this one)"},
- RPCResult{RPCResult::Type::STR_AMOUNT, "descendantfees", "modified fees (see above) of in-mempool descendants (including this one) (DEPRECATED)"},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "descendantfees", /*optional=*/true,
+ "transaction fees of in-mempool descendants (including this one) with fee deltas used for mining priority, denominated in " +
+ CURRENCY_ATOM + "s (DEPRECATED, returned only if config option -deprecatedrpc=fees is passed)"},
RPCResult{RPCResult::Type::NUM, "ancestorcount", "number of in-mempool ancestor transactions (including this one)"},
RPCResult{RPCResult::Type::NUM, "ancestorsize", "virtual transaction size of in-mempool ancestors (including this one)"},
- RPCResult{RPCResult::Type::STR_AMOUNT, "ancestorfees", "modified fees (see above) of in-mempool ancestors (including this one) (DEPRECATED)"},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "ancestorfees", /*optional=*/true,
+ "transaction fees of in-mempool ancestors (including this one) with fee deltas used for mining priority, denominated in " +
+ CURRENCY_ATOM + "s (DEPRECATED, returned only if config option -deprecatedrpc=fees is passed)"},
RPCResult{RPCResult::Type::STR_HEX, "wtxid", "hash of serialized transaction, including witness data"},
RPCResult{RPCResult::Type::OBJ, "fees", "",
{
- RPCResult{RPCResult::Type::STR_AMOUNT, "base", "transaction fee in " + CURRENCY_UNIT},
- RPCResult{RPCResult::Type::STR_AMOUNT, "modified", "transaction fee with fee deltas used for mining priority in " + CURRENCY_UNIT},
- RPCResult{RPCResult::Type::STR_AMOUNT, "ancestor", "modified fees (see above) of in-mempool ancestors (including this one) in " + CURRENCY_UNIT},
- RPCResult{RPCResult::Type::STR_AMOUNT, "descendant", "modified fees (see above) of in-mempool descendants (including this one) in " + CURRENCY_UNIT},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "base", "transaction fee, denominated in " + CURRENCY_UNIT},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "modified", "transaction fee with fee deltas used for mining priority, denominated in " + CURRENCY_UNIT},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "ancestor", "transaction fees of in-mempool ancestors (including this one) with fee deltas used for mining priority, denominated in " + CURRENCY_UNIT},
+ RPCResult{RPCResult::Type::STR_AMOUNT, "descendant", "transaction fees of in-mempool descendants (including this one) with fee deltas used for mining priority, denominated in " + CURRENCY_UNIT},
}},
RPCResult{RPCResult::Type::ARR, "depends", "unconfirmed transactions used as inputs for this transaction",
{RPCResult{RPCResult::Type::STR_HEX, "transactionid", "parent transaction id"}}},
@@ -436,31 +466,40 @@ static void entryToJSON(const CTxMemPool& pool, UniValue& info, const CTxMemPool
{
AssertLockHeld(pool.cs);
- UniValue fees(UniValue::VOBJ);
- fees.pushKV("base", ValueFromAmount(e.GetFee()));
- fees.pushKV("modified", ValueFromAmount(e.GetModifiedFee()));
- fees.pushKV("ancestor", ValueFromAmount(e.GetModFeesWithAncestors()));
- fees.pushKV("descendant", ValueFromAmount(e.GetModFeesWithDescendants()));
- info.pushKV("fees", fees);
-
info.pushKV("vsize", (int)e.GetTxSize());
info.pushKV("weight", (int)e.GetTxWeight());
- info.pushKV("fee", ValueFromAmount(e.GetFee()));
- info.pushKV("modifiedfee", ValueFromAmount(e.GetModifiedFee()));
+ // TODO: top-level fee fields are deprecated. deprecated_fee_fields_enabled blocks should be removed in v24
+ const bool deprecated_fee_fields_enabled{IsDeprecatedRPCEnabled("fees")};
+ if (deprecated_fee_fields_enabled) {
+ info.pushKV("fee", ValueFromAmount(e.GetFee()));
+ info.pushKV("modifiedfee", ValueFromAmount(e.GetModifiedFee()));
+ }
info.pushKV("time", count_seconds(e.GetTime()));
info.pushKV("height", (int)e.GetHeight());
info.pushKV("descendantcount", e.GetCountWithDescendants());
info.pushKV("descendantsize", e.GetSizeWithDescendants());
- info.pushKV("descendantfees", e.GetModFeesWithDescendants());
+ if (deprecated_fee_fields_enabled) {
+ info.pushKV("descendantfees", e.GetModFeesWithDescendants());
+ }
info.pushKV("ancestorcount", e.GetCountWithAncestors());
info.pushKV("ancestorsize", e.GetSizeWithAncestors());
- info.pushKV("ancestorfees", e.GetModFeesWithAncestors());
+ if (deprecated_fee_fields_enabled) {
+ info.pushKV("ancestorfees", e.GetModFeesWithAncestors());
+ }
info.pushKV("wtxid", pool.vTxHashes[e.vTxHashesIdx].first.ToString());
+
+ UniValue fees(UniValue::VOBJ);
+ fees.pushKV("base", ValueFromAmount(e.GetFee()));
+ fees.pushKV("modified", ValueFromAmount(e.GetModifiedFee()));
+ fees.pushKV("ancestor", ValueFromAmount(e.GetModFeesWithAncestors()));
+ fees.pushKV("descendant", ValueFromAmount(e.GetModFeesWithDescendants()));
+ info.pushKV("fees", fees);
+
const CTransaction& tx = e.GetTx();
std::set<std::string> setDepends;
for (const CTxIn& txin : tx.vin)
{
- if (pool.exists(txin.prevout.hash))
+ if (pool.exists(GenTxid::Txid(txin.prevout.hash)))
setDepends.insert(txin.prevout.hash.ToString());
}
@@ -541,8 +580,8 @@ static RPCHelpMan getrawmempool()
"\nReturns all transaction ids in memory pool as a json array of string transaction ids.\n"
"\nHint: use getmempoolentry to fetch a specific transaction from the mempool.\n",
{
- {"verbose", RPCArg::Type::BOOL, /* default */ "false", "True for a json object, false for array of transaction ids"},
- {"mempool_sequence", RPCArg::Type::BOOL, /* default */ "false", "If verbose=false, returns a json object with transaction list and mempool sequence number attached."},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{false}, "True for a json object, false for array of transaction ids"},
+ {"mempool_sequence", RPCArg::Type::BOOL, RPCArg::Default{false}, "If verbose=false, returns a json object with transaction list and mempool sequence number attached."},
},
{
RPCResult{"for verbose = false",
@@ -580,7 +619,7 @@ static RPCHelpMan getrawmempool()
include_mempool_sequence = request.params[1].get_bool();
}
- return MempoolToJSON(EnsureMemPool(request.context), fVerbose, include_mempool_sequence);
+ return MempoolToJSON(EnsureAnyMemPool(request.context), fVerbose, include_mempool_sequence);
},
};
}
@@ -591,7 +630,7 @@ static RPCHelpMan getmempoolancestors()
"\nIf txid is in the mempool, returns all in-mempool ancestors.\n",
{
{"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id (must be in mempool)"},
- {"verbose", RPCArg::Type::BOOL, /* default */ "false", "True for a json object, false for array of transaction ids"},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{false}, "True for a json object, false for array of transaction ids"},
},
{
RPCResult{"for verbose = false",
@@ -615,7 +654,7 @@ static RPCHelpMan getmempoolancestors()
uint256 hash = ParseHashV(request.params[0], "parameter 1");
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ const CTxMemPool& mempool = EnsureAnyMemPool(request.context);
LOCK(mempool.cs);
CTxMemPool::txiter it = mempool.mapTx.find(hash);
@@ -655,7 +694,7 @@ static RPCHelpMan getmempooldescendants()
"\nIf txid is in the mempool, returns all in-mempool descendants.\n",
{
{"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id (must be in mempool)"},
- {"verbose", RPCArg::Type::BOOL, /* default */ "false", "True for a json object, false for array of transaction ids"},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{false}, "True for a json object, false for array of transaction ids"},
},
{
RPCResult{"for verbose = false",
@@ -679,7 +718,7 @@ static RPCHelpMan getmempooldescendants()
uint256 hash = ParseHashV(request.params[0], "parameter 1");
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ const CTxMemPool& mempool = EnsureAnyMemPool(request.context);
LOCK(mempool.cs);
CTxMemPool::txiter it = mempool.mapTx.find(hash);
@@ -731,7 +770,7 @@ static RPCHelpMan getmempoolentry()
{
uint256 hash = ParseHashV(request.params[0], "parameter 1");
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ const CTxMemPool& mempool = EnsureAnyMemPool(request.context);
LOCK(mempool.cs);
CTxMemPool::txiter it = mempool.mapTx.find(hash);
@@ -747,6 +786,51 @@ static RPCHelpMan getmempoolentry()
};
}
+static RPCHelpMan getblockfrompeer()
+{
+ return RPCHelpMan{
+ "getblockfrompeer",
+ "Attempt to fetch block from a given peer.\n\n"
+ "We must have the header for this block, e.g. using submitheader.\n"
+ "Subsequent calls for the same block and a new peer will cause the response from the previous peer to be ignored.\n\n"
+ "Returns an empty JSON object if the request was successfully scheduled.",
+ {
+ {"block_hash", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The block hash to try to fetch"},
+ {"peer_id", RPCArg::Type::NUM, RPCArg::Optional::NO, "The peer to fetch it from (see getpeerinfo for peer IDs)"},
+ },
+ RPCResult{RPCResult::Type::OBJ, "", /*optional=*/false, "", {}},
+ RPCExamples{
+ HelpExampleCli("getblockfrompeer", "\"00000000c937983704a73af28acdec37b049d214adbda81d7e2a3dd146f6ed09\" 0")
+ + HelpExampleRpc("getblockfrompeer", "\"00000000c937983704a73af28acdec37b049d214adbda81d7e2a3dd146f6ed09\" 0")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const NodeContext& node = EnsureAnyNodeContext(request.context);
+ ChainstateManager& chainman = EnsureChainman(node);
+ PeerManager& peerman = EnsurePeerman(node);
+
+ const uint256& block_hash{ParseHashV(request.params[0], "block_hash")};
+ const NodeId peer_id{request.params[1].get_int64()};
+
+ const CBlockIndex* const index = WITH_LOCK(cs_main, return chainman.m_blockman.LookupBlockIndex(block_hash););
+
+ if (!index) {
+ throw JSONRPCError(RPC_MISC_ERROR, "Block header missing");
+ }
+
+ const bool block_has_data = WITH_LOCK(::cs_main, return index->nStatus & BLOCK_HAVE_DATA);
+ if (block_has_data) {
+ throw JSONRPCError(RPC_MISC_ERROR, "Block already downloaded");
+ }
+
+ if (const auto err{peerman.FetchBlock(peer_id, *index)}) {
+ throw JSONRPCError(RPC_MISC_ERROR, err.value());
+ }
+ return UniValue::VOBJ;
+},
+ };
+}
+
static RPCHelpMan getblockhash()
{
return RPCHelpMan{"getblockhash",
@@ -762,13 +846,15 @@ static RPCHelpMan getblockhash()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
+ const CChain& active_chain = chainman.ActiveChain();
int nHeight = request.params[0].get_int();
- if (nHeight < 0 || nHeight > ::ChainActive().Height())
+ if (nHeight < 0 || nHeight > active_chain.Height())
throw JSONRPCError(RPC_INVALID_PARAMETER, "Block height out of range");
- CBlockIndex* pblockindex = ::ChainActive()[nHeight];
+ CBlockIndex* pblockindex = active_chain[nHeight];
return pblockindex->GetBlockHash().GetHex();
},
};
@@ -781,7 +867,7 @@ static RPCHelpMan getblockheader()
"If verbose is true, returns an Object with information about blockheader <hash>.\n",
{
{"blockhash", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The block hash"},
- {"verbose", RPCArg::Type::BOOL, /* default */ "true", "true for a json object, false for the hex-encoded data"},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{true}, "true for a json object, false for the hex-encoded data"},
},
{
RPCResult{"for verbose = true",
@@ -800,8 +886,8 @@ static RPCHelpMan getblockheader()
{RPCResult::Type::NUM, "difficulty", "The difficulty"},
{RPCResult::Type::STR_HEX, "chainwork", "Expected number of hashes required to produce the current chain"},
{RPCResult::Type::NUM, "nTx", "The number of transactions in the block"},
- {RPCResult::Type::STR_HEX, "previousblockhash", /* optional */ true, "The hash of the previous block (if available)"},
- {RPCResult::Type::STR_HEX, "nextblockhash", /* optional */ true, "The hash of the next block (if available)"},
+ {RPCResult::Type::STR_HEX, "previousblockhash", /*optional=*/true, "The hash of the previous block (if available)"},
+ {RPCResult::Type::STR_HEX, "nextblockhash", /*optional=*/true, "The hash of the next block (if available)"},
}},
RPCResult{"for verbose=false",
RPCResult::Type::STR_HEX, "", "A string that is serialized, hex-encoded data for block 'hash'"},
@@ -821,9 +907,10 @@ static RPCHelpMan getblockheader()
const CBlockIndex* pblockindex;
const CBlockIndex* tip;
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- pblockindex = g_chainman.m_blockman.LookupBlockIndex(hash);
- tip = ::ChainActive().Tip();
+ pblockindex = chainman.m_blockman.LookupBlockIndex(hash);
+ tip = chainman.ActiveChain().Tip();
}
if (!pblockindex) {
@@ -843,8 +930,9 @@ static RPCHelpMan getblockheader()
};
}
-static CBlock GetBlockChecked(const CBlockIndex* pblockindex)
+static CBlock GetBlockChecked(const CBlockIndex* pblockindex) EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
CBlock block;
if (IsBlockPruned(pblockindex)) {
throw JSONRPCError(RPC_MISC_ERROR, "Block not available (pruned data)");
@@ -860,8 +948,9 @@ static CBlock GetBlockChecked(const CBlockIndex* pblockindex)
return block;
}
-static CBlockUndo GetUndoChecked(const CBlockIndex* pblockindex)
+static CBlockUndo GetUndoChecked(const CBlockIndex* pblockindex) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
{
+ AssertLockHeld(::cs_main);
CBlockUndo blockUndo;
if (IsBlockPruned(pblockindex)) {
throw JSONRPCError(RPC_MISC_ERROR, "Undo data not available (pruned data)");
@@ -879,10 +968,11 @@ static RPCHelpMan getblock()
return RPCHelpMan{"getblock",
"\nIf verbosity is 0, returns a string that is serialized, hex-encoded data for block 'hash'.\n"
"If verbosity is 1, returns an Object with information about block <hash>.\n"
- "If verbosity is 2, returns an Object with information about block <hash> and information about each transaction. \n",
+ "If verbosity is 2, returns an Object with information about block <hash> and information about each transaction.\n"
+ "If verbosity is 3, returns an Object with information about block <hash> and information about each transaction, including prevout information for inputs (only for unpruned blocks in the current best chain).\n",
{
{"blockhash", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The block hash"},
- {"verbosity|verbose", RPCArg::Type::NUM, /* default */ "1", "0 for hex-encoded data, 1 for a json object, and 2 for json object with transaction data"},
+ {"verbosity|verbose", RPCArg::Type::NUM, RPCArg::Default{1}, "0 for hex-encoded data, 1 for a JSON object, 2 for JSON object with transaction data, and 3 for JSON object with transaction data including prevout information for inputs"},
},
{
RPCResult{"for verbosity = 0",
@@ -908,8 +998,8 @@ static RPCHelpMan getblock()
{RPCResult::Type::NUM, "difficulty", "The difficulty"},
{RPCResult::Type::STR_HEX, "chainwork", "Expected number of hashes required to produce the chain up to this block (in hex)"},
{RPCResult::Type::NUM, "nTx", "The number of transactions in the block"},
- {RPCResult::Type::STR_HEX, "previousblockhash", /* optional */ true, "The hash of the previous block (if available)"},
- {RPCResult::Type::STR_HEX, "nextblockhash", /* optional */ true, "The hash of the next block (if available)"},
+ {RPCResult::Type::STR_HEX, "previousblockhash", /*optional=*/true, "The hash of the previous block (if available)"},
+ {RPCResult::Type::STR_HEX, "nextblockhash", /*optional=*/true, "The hash of the next block (if available)"},
}},
RPCResult{"for verbosity = 2",
RPCResult::Type::OBJ, "", "",
@@ -924,6 +1014,37 @@ static RPCHelpMan getblock()
}},
}},
}},
+ RPCResult{"for verbosity = 3",
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::ELISION, "", "Same output as verbosity = 2"},
+ {RPCResult::Type::ARR, "tx", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::ARR, "vin", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::ELISION, "", "The same output as verbosity = 2"},
+ {RPCResult::Type::OBJ, "prevout", "(Only if undo information is available)",
+ {
+ {RPCResult::Type::BOOL, "generated", "Coinbase or not"},
+ {RPCResult::Type::NUM, "height", "The height of the prevout"},
+ {RPCResult::Type::NUM, "value", "The value in " + CURRENCY_UNIT},
+ {RPCResult::Type::OBJ, "scriptPubKey", "",
+ {
+ {RPCResult::Type::STR, "asm", "The asm"},
+ {RPCResult::Type::STR, "hex", "The hex"},
+ {RPCResult::Type::STR, "address", /* optional */ true, "The Bitcoin address (only if a well-defined address exists)"},
+ {RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
+ }},
+ }},
+ }},
+ }},
+ }},
+ }},
+ }},
},
RPCExamples{
HelpExampleCli("getblock", "\"00000000c937983704a73af28acdec37b049d214adbda81d7e2a3dd146f6ed09\"")
@@ -935,19 +1056,21 @@ static RPCHelpMan getblock()
int verbosity = 1;
if (!request.params[1].isNull()) {
- if(request.params[1].isNum())
- verbosity = request.params[1].get_int();
- else
+ if (request.params[1].isBool()) {
verbosity = request.params[1].get_bool() ? 1 : 0;
+ } else {
+ verbosity = request.params[1].get_int();
+ }
}
CBlock block;
const CBlockIndex* pblockindex;
const CBlockIndex* tip;
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- pblockindex = g_chainman.m_blockman.LookupBlockIndex(hash);
- tip = ::ChainActive().Tip();
+ pblockindex = chainman.m_blockman.LookupBlockIndex(hash);
+ tip = chainman.ActiveChain().Tip();
if (!pblockindex) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
@@ -964,7 +1087,16 @@ static RPCHelpMan getblock()
return strHex;
}
- return blockToJSON(block, tip, pblockindex, verbosity >= 2);
+ TxVerbosity tx_verbosity;
+ if (verbosity == 1) {
+ tx_verbosity = TxVerbosity::SHOW_TXID;
+ } else if (verbosity == 2) {
+ tx_verbosity = TxVerbosity::SHOW_DETAILS;
+ } else {
+ tx_verbosity = TxVerbosity::SHOW_DETAILS_AND_PREVOUT;
+ }
+
+ return blockToJSON(block, tip, pblockindex, tx_verbosity);
},
};
}
@@ -984,10 +1116,13 @@ static RPCHelpMan pruneblockchain()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- if (!fPruneMode)
+ if (!node::fPruneMode)
throw JSONRPCError(RPC_MISC_ERROR, "Cannot prune blocks because node is not in prune mode.");
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
+ CChainState& active_chainstate = chainman.ActiveChainstate();
+ CChain& active_chain = active_chainstate.m_chain;
int heightParam = request.params[0].get_int();
if (heightParam < 0)
@@ -997,7 +1132,7 @@ static RPCHelpMan pruneblockchain()
// too low to be a block time (corresponds to timestamp from Sep 2001).
if (heightParam > 1000000000) {
// Add a 2 hour buffer to include blocks which might have had old timestamps
- CBlockIndex* pindex = ::ChainActive().FindEarliestAtLeast(heightParam - TIMESTAMP_WINDOW, 0);
+ CBlockIndex* pindex = active_chain.FindEarliestAtLeast(heightParam - TIMESTAMP_WINDOW, 0);
if (!pindex) {
throw JSONRPCError(RPC_INVALID_PARAMETER, "Could not find block with at least the specified timestamp.");
}
@@ -1005,7 +1140,7 @@ static RPCHelpMan pruneblockchain()
}
unsigned int height = (unsigned int) heightParam;
- unsigned int chainHeight = (unsigned int) ::ChainActive().Height();
+ unsigned int chainHeight = (unsigned int) active_chain.Height();
if (chainHeight < Params().PruneAfterHeight())
throw JSONRPCError(RPC_MISC_ERROR, "Blockchain is too short for pruning.");
else if (height > chainHeight)
@@ -1015,8 +1150,8 @@ static RPCHelpMan pruneblockchain()
height = chainHeight - MIN_BLOCKS_TO_KEEP;
}
- PruneBlockFilesManual(::ChainstateActive(), height);
- const CBlockIndex* block = ::ChainActive().Tip();
+ PruneBlockFilesManual(active_chainstate, height);
+ const CBlockIndex* block = active_chain.Tip();
CHECK_NONFATAL(block);
while (block->pprev && (block->pprev->nStatus & BLOCK_HAVE_DATA)) {
block = block->pprev;
@@ -1035,7 +1170,7 @@ CoinStatsHashType ParseHashType(const std::string& hash_type_input)
} else if (hash_type_input == "none") {
return CoinStatsHashType::NONE;
} else {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("%s is not a valid hash_type", hash_type_input));
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("'%s' is not a valid hash_type", hash_type_input));
}
}
@@ -1043,52 +1178,137 @@ static RPCHelpMan gettxoutsetinfo()
{
return RPCHelpMan{"gettxoutsetinfo",
"\nReturns statistics about the unspent transaction output set.\n"
- "Note this call may take some time.\n",
+ "Note this call may take some time if you are not using coinstatsindex.\n",
{
- {"hash_type", RPCArg::Type::STR, /* default */ "hash_serialized_2", "Which UTXO set hash should be calculated. Options: 'hash_serialized_2' (the legacy algorithm), 'muhash', 'none'."},
+ {"hash_type", RPCArg::Type::STR, RPCArg::Default{"hash_serialized_2"}, "Which UTXO set hash should be calculated. Options: 'hash_serialized_2' (the legacy algorithm), 'muhash', 'none'."},
+ {"hash_or_height", RPCArg::Type::NUM, RPCArg::Optional::OMITTED_NAMED_ARG, "The block hash or height of the target height (only available with coinstatsindex).", "", {"", "string or numeric"}},
+ {"use_index", RPCArg::Type::BOOL, RPCArg::Default{true}, "Use coinstatsindex, if available."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::NUM, "height", "The current block height (index)"},
- {RPCResult::Type::STR_HEX, "bestblock", "The hash of the block at the tip of the chain"},
- {RPCResult::Type::NUM, "transactions", "The number of transactions with unspent outputs"},
+ {RPCResult::Type::NUM, "height", "The block height (index) of the returned statistics"},
+ {RPCResult::Type::STR_HEX, "bestblock", "The hash of the block at which these statistics are calculated"},
{RPCResult::Type::NUM, "txouts", "The number of unspent transaction outputs"},
- {RPCResult::Type::NUM, "bogosize", "A meaningless metric for UTXO set size"},
- {RPCResult::Type::STR_HEX, "hash_serialized_2", /* optional */ true, "The serialized hash (only present if 'hash_serialized_2' hash_type is chosen)"},
- {RPCResult::Type::STR_HEX, "muhash", /* optional */ true, "The serialized hash (only present if 'muhash' hash_type is chosen)"},
- {RPCResult::Type::NUM, "disk_size", "The estimated size of the chainstate on disk"},
- {RPCResult::Type::STR_AMOUNT, "total_amount", "The total amount"},
+ {RPCResult::Type::NUM, "bogosize", "Database-independent, meaningless metric indicating the UTXO set size"},
+ {RPCResult::Type::STR_HEX, "hash_serialized_2", /*optional=*/true, "The serialized hash (only present if 'hash_serialized_2' hash_type is chosen)"},
+ {RPCResult::Type::STR_HEX, "muhash", /*optional=*/true, "The serialized hash (only present if 'muhash' hash_type is chosen)"},
+ {RPCResult::Type::NUM, "transactions", /*optional=*/true, "The number of transactions with unspent outputs (not available when coinstatsindex is used)"},
+ {RPCResult::Type::NUM, "disk_size", /*optional=*/true, "The estimated size of the chainstate on disk (not available when coinstatsindex is used)"},
+ {RPCResult::Type::STR_AMOUNT, "total_amount", "The total amount of coins in the UTXO set"},
+ {RPCResult::Type::STR_AMOUNT, "total_unspendable_amount", /*optional=*/true, "The total amount of coins permanently excluded from the UTXO set (only available if coinstatsindex is used)"},
+ {RPCResult::Type::OBJ, "block_info", /*optional=*/true, "Info on amounts in the block at this block height (only available if coinstatsindex is used)",
+ {
+ {RPCResult::Type::STR_AMOUNT, "prevout_spent", "Total amount of all prevouts spent in this block"},
+ {RPCResult::Type::STR_AMOUNT, "coinbase", "Coinbase subsidy amount of this block"},
+ {RPCResult::Type::STR_AMOUNT, "new_outputs_ex_coinbase", "Total amount of new outputs created by this block"},
+ {RPCResult::Type::STR_AMOUNT, "unspendable", "Total amount of unspendable outputs created in this block"},
+ {RPCResult::Type::OBJ, "unspendables", "Detailed view of the unspendable categories",
+ {
+ {RPCResult::Type::STR_AMOUNT, "genesis_block", "The unspendable amount of the Genesis block subsidy"},
+ {RPCResult::Type::STR_AMOUNT, "bip30", "Transactions overridden by duplicates (no longer possible with BIP30)"},
+ {RPCResult::Type::STR_AMOUNT, "scripts", "Amounts sent to scripts that are unspendable (for example OP_RETURN outputs)"},
+ {RPCResult::Type::STR_AMOUNT, "unclaimed_rewards", "Fee rewards that miners did not claim in their coinbase transaction"},
+ }}
+ }},
}},
RPCExamples{
- HelpExampleCli("gettxoutsetinfo", "")
- + HelpExampleRpc("gettxoutsetinfo", "")
+ HelpExampleCli("gettxoutsetinfo", "") +
+ HelpExampleCli("gettxoutsetinfo", R"("none")") +
+ HelpExampleCli("gettxoutsetinfo", R"("none" 1000)") +
+ HelpExampleCli("gettxoutsetinfo", R"("none" '"00000000c937983704a73af28acdec37b049d214adbda81d7e2a3dd146f6ed09"')") +
+ HelpExampleRpc("gettxoutsetinfo", "") +
+ HelpExampleRpc("gettxoutsetinfo", R"("none")") +
+ HelpExampleRpc("gettxoutsetinfo", R"("none", 1000)") +
+ HelpExampleRpc("gettxoutsetinfo", R"("none", "00000000c937983704a73af28acdec37b049d214adbda81d7e2a3dd146f6ed09")")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
UniValue ret(UniValue::VOBJ);
- CCoinsStats stats;
- ::ChainstateActive().ForceFlushStateToDisk();
-
+ CBlockIndex* pindex{nullptr};
const CoinStatsHashType hash_type{request.params[0].isNull() ? CoinStatsHashType::HASH_SERIALIZED : ParseHashType(request.params[0].get_str())};
+ CCoinsStats stats{hash_type};
+ stats.index_requested = request.params[2].isNull() || request.params[2].get_bool();
+
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ ChainstateManager& chainman = EnsureChainman(node);
+ CChainState& active_chainstate = chainman.ActiveChainstate();
+ active_chainstate.ForceFlushStateToDisk();
+
+ CCoinsView* coins_view;
+ BlockManager* blockman;
+ {
+ LOCK(::cs_main);
+ coins_view = &active_chainstate.CoinsDB();
+ blockman = &active_chainstate.m_blockman;
+ pindex = blockman->LookupBlockIndex(coins_view->GetBestBlock());
+ }
- CCoinsView* coins_view = WITH_LOCK(cs_main, return &ChainstateActive().CoinsDB());
- NodeContext& node = EnsureNodeContext(request.context);
- if (GetUTXOStats(coins_view, stats, hash_type, node.rpc_interruption_point)) {
+ if (!request.params[1].isNull()) {
+ if (!g_coin_stats_index) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Querying specific block heights requires coinstatsindex");
+ }
+
+ if (stats.m_hash_type == CoinStatsHashType::HASH_SERIALIZED) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "hash_serialized_2 hash type cannot be queried for a specific block");
+ }
+
+ pindex = ParseHashOrHeight(request.params[1], chainman);
+ }
+
+ if (stats.index_requested && g_coin_stats_index) {
+ if (!g_coin_stats_index->BlockUntilSyncedToCurrentChain()) {
+ const IndexSummary summary{g_coin_stats_index->GetSummary()};
+
+ // If a specific block was requested and the index has already synced past that height, we can return the
+ // data already even though the index is not fully synced yet.
+ if (pindex->nHeight > summary.best_block_height) {
+ throw JSONRPCError(RPC_INTERNAL_ERROR, strprintf("Unable to get data because coinstatsindex is still syncing. Current height: %d", summary.best_block_height));
+ }
+ }
+ }
+
+ if (GetUTXOStats(coins_view, *blockman, stats, node.rpc_interruption_point, pindex)) {
ret.pushKV("height", (int64_t)stats.nHeight);
ret.pushKV("bestblock", stats.hashBlock.GetHex());
- ret.pushKV("transactions", (int64_t)stats.nTransactions);
ret.pushKV("txouts", (int64_t)stats.nTransactionOutputs);
ret.pushKV("bogosize", (int64_t)stats.nBogoSize);
if (hash_type == CoinStatsHashType::HASH_SERIALIZED) {
ret.pushKV("hash_serialized_2", stats.hashSerialized.GetHex());
}
if (hash_type == CoinStatsHashType::MUHASH) {
- ret.pushKV("muhash", stats.hashSerialized.GetHex());
+ ret.pushKV("muhash", stats.hashSerialized.GetHex());
+ }
+ CHECK_NONFATAL(stats.total_amount.has_value());
+ ret.pushKV("total_amount", ValueFromAmount(stats.total_amount.value()));
+ if (!stats.index_used) {
+ ret.pushKV("transactions", static_cast<int64_t>(stats.nTransactions));
+ ret.pushKV("disk_size", stats.nDiskSize);
+ } else {
+ ret.pushKV("total_unspendable_amount", ValueFromAmount(stats.total_unspendable_amount));
+
+ CCoinsStats prev_stats{hash_type};
+
+ if (pindex->nHeight > 0) {
+ GetUTXOStats(coins_view, *blockman, prev_stats, node.rpc_interruption_point, pindex->pprev);
+ }
+
+ UniValue block_info(UniValue::VOBJ);
+ block_info.pushKV("prevout_spent", ValueFromAmount(stats.total_prevout_spent_amount - prev_stats.total_prevout_spent_amount));
+ block_info.pushKV("coinbase", ValueFromAmount(stats.total_coinbase_amount - prev_stats.total_coinbase_amount));
+ block_info.pushKV("new_outputs_ex_coinbase", ValueFromAmount(stats.total_new_outputs_ex_coinbase_amount - prev_stats.total_new_outputs_ex_coinbase_amount));
+ block_info.pushKV("unspendable", ValueFromAmount(stats.total_unspendable_amount - prev_stats.total_unspendable_amount));
+
+ UniValue unspendables(UniValue::VOBJ);
+ unspendables.pushKV("genesis_block", ValueFromAmount(stats.total_unspendables_genesis_block - prev_stats.total_unspendables_genesis_block));
+ unspendables.pushKV("bip30", ValueFromAmount(stats.total_unspendables_bip30 - prev_stats.total_unspendables_bip30));
+ unspendables.pushKV("scripts", ValueFromAmount(stats.total_unspendables_scripts - prev_stats.total_unspendables_scripts));
+ unspendables.pushKV("unclaimed_rewards", ValueFromAmount(stats.total_unspendables_unclaimed_rewards - prev_stats.total_unspendables_unclaimed_rewards));
+ block_info.pushKV("unspendables", unspendables);
+
+ ret.pushKV("block_info", block_info);
}
- ret.pushKV("disk_size", stats.nDiskSize);
- ret.pushKV("total_amount", ValueFromAmount(stats.nTotalAmount));
} else {
throw JSONRPCError(RPC_INTERNAL_ERROR, "Unable to read UTXO set");
}
@@ -1100,30 +1320,29 @@ static RPCHelpMan gettxoutsetinfo()
static RPCHelpMan gettxout()
{
return RPCHelpMan{"gettxout",
- "\nReturns details about an unspent transaction output.\n",
- {
- {"txid", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction id"},
- {"n", RPCArg::Type::NUM, RPCArg::Optional::NO, "vout number"},
- {"include_mempool", RPCArg::Type::BOOL, /* default */ "true", "Whether to include the mempool. Note that an unspent output that is spent in the mempool won't appear."},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "bestblock", "The hash of the block at the tip of the chain"},
- {RPCResult::Type::NUM, "confirmations", "The number of confirmations"},
- {RPCResult::Type::STR_AMOUNT, "value", "The transaction value in " + CURRENCY_UNIT},
- {RPCResult::Type::OBJ, "scriptPubKey", "",
- {
- {RPCResult::Type::STR_HEX, "asm", ""},
- {RPCResult::Type::STR_HEX, "hex", ""},
- {RPCResult::Type::NUM, "reqSigs", "Number of required signatures"},
- {RPCResult::Type::STR_HEX, "type", "The type, eg pubkeyhash"},
- {RPCResult::Type::ARR, "addresses", "array of bitcoin addresses",
- {{RPCResult::Type::STR, "address", "bitcoin address"}}},
- }},
- {RPCResult::Type::BOOL, "coinbase", "Coinbase or not"},
- }},
- RPCExamples{
+ "\nReturns details about an unspent transaction output.\n",
+ {
+ {"txid", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction id"},
+ {"n", RPCArg::Type::NUM, RPCArg::Optional::NO, "vout number"},
+ {"include_mempool", RPCArg::Type::BOOL, RPCArg::Default{true}, "Whether to include the mempool. Note that an unspent output that is spent in the mempool won't appear."},
+ },
+ {
+ RPCResult{"If the UTXO was not found", RPCResult::Type::NONE, "", ""},
+ RPCResult{"Otherwise", RPCResult::Type::OBJ, "", "", {
+ {RPCResult::Type::STR_HEX, "bestblock", "The hash of the block at the tip of the chain"},
+ {RPCResult::Type::NUM, "confirmations", "The number of confirmations"},
+ {RPCResult::Type::STR_AMOUNT, "value", "The transaction value in " + CURRENCY_UNIT},
+ {RPCResult::Type::OBJ, "scriptPubKey", "", {
+ {RPCResult::Type::STR, "asm", ""},
+ {RPCResult::Type::STR, "desc", "Inferred descriptor for the output"},
+ {RPCResult::Type::STR_HEX, "hex", ""},
+ {RPCResult::Type::STR, "type", "The type, eg pubkeyhash"},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The Bitcoin address (only if a well-defined address exists)"},
+ }},
+ {RPCResult::Type::BOOL, "coinbase", "Coinbase or not"},
+ }},
+ },
+ RPCExamples{
"\nGet unspent transactions\n"
+ HelpExampleCli("listunspent", "") +
"\nView the details\n"
@@ -1133,6 +1352,8 @@ static RPCHelpMan gettxout()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ ChainstateManager& chainman = EnsureChainman(node);
LOCK(cs_main);
UniValue ret(UniValue::VOBJ);
@@ -1145,10 +1366,11 @@ static RPCHelpMan gettxout()
fMempool = request.params[2].get_bool();
Coin coin;
- CCoinsViewCache* coins_view = &::ChainstateActive().CoinsTip();
+ CChainState& active_chainstate = chainman.ActiveChainstate();
+ CCoinsViewCache* coins_view = &active_chainstate.CoinsTip();
if (fMempool) {
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
LOCK(mempool.cs);
CCoinsViewMemPool view(coins_view, mempool);
if (!view.GetCoin(out, coin) || mempool.isSpent(out)) {
@@ -1160,7 +1382,7 @@ static RPCHelpMan gettxout()
}
}
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(coins_view->GetBestBlock());
+ const CBlockIndex* pindex = active_chainstate.m_blockman.LookupBlockIndex(coins_view->GetBestBlock());
ret.pushKV("bestblock", pindex->GetBlockHash().GetHex());
if (coin.nHeight == MEMPOOL_HEIGHT) {
ret.pushKV("confirmations", 0);
@@ -1183,9 +1405,9 @@ static RPCHelpMan verifychain()
return RPCHelpMan{"verifychain",
"\nVerifies blockchain database.\n",
{
- {"checklevel", RPCArg::Type::NUM, /* default */ strprintf("%d, range=0-4", DEFAULT_CHECKLEVEL),
- strprintf("How thorough the block verification is:\n - %s", Join(CHECKLEVEL_DOC, "\n- "))},
- {"nblocks", RPCArg::Type::NUM, /* default */ strprintf("%d, 0=all", DEFAULT_CHECKBLOCKS), "The number of blocks to check."},
+ {"checklevel", RPCArg::Type::NUM, RPCArg::DefaultHint{strprintf("%d, range=0-4", DEFAULT_CHECKLEVEL)},
+ strprintf("How thorough the block verification is:\n%s", MakeUnorderedList(CHECKLEVEL_DOC))},
+ {"nblocks", RPCArg::Type::NUM, RPCArg::DefaultHint{strprintf("%d, 0=all", DEFAULT_CHECKBLOCKS)}, "The number of blocks to check."},
},
RPCResult{
RPCResult::Type::BOOL, "", "Verified or not"},
@@ -1198,81 +1420,112 @@ static RPCHelpMan verifychain()
const int check_level(request.params[0].isNull() ? DEFAULT_CHECKLEVEL : request.params[0].get_int());
const int check_depth{request.params[1].isNull() ? DEFAULT_CHECKBLOCKS : request.params[1].get_int()};
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- return CVerifyDB().VerifyDB(Params(), ::ChainstateActive(), &::ChainstateActive().CoinsTip(), check_level, check_depth);
+ CChainState& active_chainstate = chainman.ActiveChainstate();
+ return CVerifyDB().VerifyDB(
+ active_chainstate, Params().GetConsensus(), active_chainstate.CoinsTip(), check_level, check_depth);
},
};
}
-static void BuriedForkDescPushBack(UniValue& softforks, const std::string &name, int height) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+static void SoftForkDescPushBack(const CBlockIndex* blockindex, UniValue& softforks, const Consensus::Params& params, Consensus::BuriedDeployment dep)
{
// For buried deployments.
- // A buried deployment is one where the height of the activation has been hardcoded into
- // the client implementation long after the consensus change has activated. See BIP 90.
- // Buried deployments with activation height value of
- // std::numeric_limits<int>::max() are disabled and thus hidden.
- if (height == std::numeric_limits<int>::max()) return;
+
+ if (!DeploymentEnabled(params, dep)) return;
UniValue rv(UniValue::VOBJ);
rv.pushKV("type", "buried");
- // getblockchaininfo reports the softfork as active from when the chain height is
+ // getdeploymentinfo reports the softfork as active from when the chain height is
// one below the activation height
- rv.pushKV("active", ::ChainActive().Tip()->nHeight + 1 >= height);
- rv.pushKV("height", height);
- softforks.pushKV(name, rv);
+ rv.pushKV("active", DeploymentActiveAfter(blockindex, params, dep));
+ rv.pushKV("height", params.DeploymentHeight(dep));
+ softforks.pushKV(DeploymentName(dep), rv);
}
-static void BIP9SoftForkDescPushBack(UniValue& softforks, const std::string &name, const Consensus::Params& consensusParams, Consensus::DeploymentPos id) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+static void SoftForkDescPushBack(const CBlockIndex* blockindex, UniValue& softforks, const Consensus::Params& consensusParams, Consensus::DeploymentPos id)
{
// For BIP9 deployments.
- // Deployments (e.g. testdummy) with timeout value before Jan 1, 2009 are hidden.
- // A timeout value of 0 guarantees a softfork will never be activated.
- // This is used when merging logic to implement a proposed softfork without a specified deployment schedule.
- if (consensusParams.vDeployments[id].nTimeout <= 1230768000) return;
+
+ if (!DeploymentEnabled(consensusParams, id)) return;
+ if (blockindex == nullptr) return;
+
+ auto get_state_name = [](const ThresholdState state) -> std::string {
+ switch (state) {
+ case ThresholdState::DEFINED: return "defined";
+ case ThresholdState::STARTED: return "started";
+ case ThresholdState::LOCKED_IN: return "locked_in";
+ case ThresholdState::ACTIVE: return "active";
+ case ThresholdState::FAILED: return "failed";
+ }
+ return "invalid";
+ };
UniValue bip9(UniValue::VOBJ);
- const ThresholdState thresholdState = VersionBitsState(::ChainActive().Tip(), consensusParams, id, versionbitscache);
- switch (thresholdState) {
- case ThresholdState::DEFINED: bip9.pushKV("status", "defined"); break;
- case ThresholdState::STARTED: bip9.pushKV("status", "started"); break;
- case ThresholdState::LOCKED_IN: bip9.pushKV("status", "locked_in"); break;
- case ThresholdState::ACTIVE: bip9.pushKV("status", "active"); break;
- case ThresholdState::FAILED: bip9.pushKV("status", "failed"); break;
- }
- if (ThresholdState::STARTED == thresholdState)
- {
+
+ const ThresholdState next_state = g_versionbitscache.State(blockindex, consensusParams, id);
+ const ThresholdState current_state = g_versionbitscache.State(blockindex->pprev, consensusParams, id);
+
+ const bool has_signal = (ThresholdState::STARTED == current_state || ThresholdState::LOCKED_IN == current_state);
+
+ // BIP9 parameters
+ if (has_signal) {
bip9.pushKV("bit", consensusParams.vDeployments[id].bit);
}
bip9.pushKV("start_time", consensusParams.vDeployments[id].nStartTime);
bip9.pushKV("timeout", consensusParams.vDeployments[id].nTimeout);
- int64_t since_height = VersionBitsStateSinceHeight(::ChainActive().Tip(), consensusParams, id, versionbitscache);
- bip9.pushKV("since", since_height);
- if (ThresholdState::STARTED == thresholdState)
- {
+ bip9.pushKV("min_activation_height", consensusParams.vDeployments[id].min_activation_height);
+
+ // BIP9 status
+ bip9.pushKV("status", get_state_name(current_state));
+ bip9.pushKV("since", g_versionbitscache.StateSinceHeight(blockindex->pprev, consensusParams, id));
+ bip9.pushKV("status-next", get_state_name(next_state));
+
+ // BIP9 signalling status, if applicable
+ if (has_signal) {
UniValue statsUV(UniValue::VOBJ);
- BIP9Stats statsStruct = VersionBitsStatistics(::ChainActive().Tip(), consensusParams, id);
+ std::vector<bool> signals;
+ BIP9Stats statsStruct = g_versionbitscache.Statistics(blockindex, consensusParams, id, &signals);
statsUV.pushKV("period", statsStruct.period);
- statsUV.pushKV("threshold", statsStruct.threshold);
statsUV.pushKV("elapsed", statsStruct.elapsed);
statsUV.pushKV("count", statsStruct.count);
- statsUV.pushKV("possible", statsStruct.possible);
+ if (ThresholdState::LOCKED_IN != current_state) {
+ statsUV.pushKV("threshold", statsStruct.threshold);
+ statsUV.pushKV("possible", statsStruct.possible);
+ }
bip9.pushKV("statistics", statsUV);
+
+ std::string sig;
+ sig.reserve(signals.size());
+ for (const bool s : signals) {
+ sig.push_back(s ? '#' : '-');
+ }
+ bip9.pushKV("signalling", sig);
}
UniValue rv(UniValue::VOBJ);
rv.pushKV("type", "bip9");
- rv.pushKV("bip9", bip9);
- if (ThresholdState::ACTIVE == thresholdState) {
- rv.pushKV("height", since_height);
+ if (ThresholdState::ACTIVE == next_state) {
+ rv.pushKV("height", g_versionbitscache.StateSinceHeight(blockindex, consensusParams, id));
}
- rv.pushKV("active", ThresholdState::ACTIVE == thresholdState);
+ rv.pushKV("active", ThresholdState::ACTIVE == next_state);
+ rv.pushKV("bip9", bip9);
- softforks.pushKV(name, rv);
+ softforks.pushKV(DeploymentName(id), rv);
}
+namespace {
+/* TODO: when -deprecatedrpc=softforks is removed, drop these */
+UniValue DeploymentInfo(const CBlockIndex* tip, const Consensus::Params& consensusParams);
+extern const std::vector<RPCResult> RPCHelpForDeployment;
+}
+
+// used by rest.cpp:rest_chaininfo, so cannot be static
RPCHelpMan getblockchaininfo()
{
+ /* TODO: from v24, remove -deprecatedrpc=softforks */
return RPCHelpMan{"getblockchaininfo",
"Returns an object containing various state info regarding blockchain processing.\n",
{},
@@ -1284,39 +1537,21 @@ RPCHelpMan getblockchaininfo()
{RPCResult::Type::NUM, "headers", "the current number of headers we have validated"},
{RPCResult::Type::STR, "bestblockhash", "the hash of the currently best block"},
{RPCResult::Type::NUM, "difficulty", "the current difficulty"},
- {RPCResult::Type::NUM, "mediantime", "median time for the current best block"},
+ {RPCResult::Type::NUM_TIME, "time", "The block time expressed in " + UNIX_EPOCH_TIME},
+ {RPCResult::Type::NUM_TIME, "mediantime", "The median block time expressed in " + UNIX_EPOCH_TIME},
{RPCResult::Type::NUM, "verificationprogress", "estimate of verification progress [0..1]"},
{RPCResult::Type::BOOL, "initialblockdownload", "(debug information) estimate of whether this node is in Initial Block Download mode"},
{RPCResult::Type::STR_HEX, "chainwork", "total amount of work in active chain, in hexadecimal"},
{RPCResult::Type::NUM, "size_on_disk", "the estimated size of the block and undo files on disk"},
{RPCResult::Type::BOOL, "pruned", "if the blocks are subject to pruning"},
- {RPCResult::Type::NUM, "pruneheight", "lowest-height complete block stored (only present if pruning is enabled)"},
- {RPCResult::Type::BOOL, "automatic_pruning", "whether automatic pruning is enabled (only present if pruning is enabled)"},
- {RPCResult::Type::NUM, "prune_target_size", "the target size used by pruning (only present if automatic pruning is enabled)"},
- {RPCResult::Type::OBJ_DYN, "softforks", "status of softforks",
+ {RPCResult::Type::NUM, "pruneheight", /*optional=*/true, "lowest-height complete block stored (only present if pruning is enabled)"},
+ {RPCResult::Type::BOOL, "automatic_pruning", /*optional=*/true, "whether automatic pruning is enabled (only present if pruning is enabled)"},
+ {RPCResult::Type::NUM, "prune_target_size", /*optional=*/true, "the target size used by pruning (only present if automatic pruning is enabled)"},
+ {RPCResult::Type::OBJ_DYN, "softforks", "(DEPRECATED, returned only if config option -deprecatedrpc=softforks is passed) status of softforks",
{
{RPCResult::Type::OBJ, "xxxx", "name of the softfork",
- {
- {RPCResult::Type::STR, "type", "one of \"buried\", \"bip9\""},
- {RPCResult::Type::OBJ, "bip9", "status of bip9 softforks (only for \"bip9\" type)",
- {
- {RPCResult::Type::STR, "status", "one of \"defined\", \"started\", \"locked_in\", \"active\", \"failed\""},
- {RPCResult::Type::NUM, "bit", "the bit (0-28) in the block version field used to signal this softfork (only for \"started\" status)"},
- {RPCResult::Type::NUM_TIME, "start_time", "the minimum median time past of a block at which the bit gains its meaning"},
- {RPCResult::Type::NUM_TIME, "timeout", "the median time past of a block at which the deployment is considered failed if not yet locked in"},
- {RPCResult::Type::NUM, "since", "height of the first block to which the status applies"},
- {RPCResult::Type::OBJ, "statistics", "numeric statistics about BIP9 signalling for a softfork (only for \"started\" status)",
- {
- {RPCResult::Type::NUM, "period", "the length in blocks of the BIP9 signalling period"},
- {RPCResult::Type::NUM, "threshold", "the number of blocks with the version bit set required to activate the feature"},
- {RPCResult::Type::NUM, "elapsed", "the number of blocks elapsed since the beginning of the current period"},
- {RPCResult::Type::NUM, "count", "the number of blocks with the version bit set in the current period"},
- {RPCResult::Type::BOOL, "possible", "returns false if there are not enough blocks left in this period to pass activation threshold"},
- }},
- }},
- {RPCResult::Type::NUM, "height", "height of the first block which the rules are or will be enforced (only for \"buried\" type, or \"bip9\" type with \"active\" status)"},
- {RPCResult::Type::BOOL, "active", "true if the rules are enforced for the mempool and the next block"},
- }},
+ RPCHelpForDeployment
+ },
}},
{RPCResult::Type::STR, "warnings", "any network and blockchain warnings"},
}},
@@ -1326,22 +1561,28 @@ RPCHelpMan getblockchaininfo()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ const ArgsManager& args{EnsureAnyArgsman(request.context)};
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
+ CChainState& active_chainstate = chainman.ActiveChainstate();
- const CBlockIndex* tip = ::ChainActive().Tip();
+ const CBlockIndex* tip = active_chainstate.m_chain.Tip();
+ CHECK_NONFATAL(tip);
+ const int height = tip->nHeight;
UniValue obj(UniValue::VOBJ);
obj.pushKV("chain", Params().NetworkIDString());
- obj.pushKV("blocks", (int)::ChainActive().Height());
+ obj.pushKV("blocks", height);
obj.pushKV("headers", pindexBestHeader ? pindexBestHeader->nHeight : -1);
obj.pushKV("bestblockhash", tip->GetBlockHash().GetHex());
obj.pushKV("difficulty", (double)GetDifficulty(tip));
+ obj.pushKV("time", (int64_t)tip->nTime);
obj.pushKV("mediantime", (int64_t)tip->GetMedianTimePast());
obj.pushKV("verificationprogress", GuessVerificationProgress(Params().TxData(), tip));
- obj.pushKV("initialblockdownload", ::ChainstateActive().IsInitialBlockDownload());
+ obj.pushKV("initialblockdownload", active_chainstate.IsInitialBlockDownload());
obj.pushKV("chainwork", tip->nChainWork.GetHex());
- obj.pushKV("size_on_disk", CalculateCurrentUsage());
- obj.pushKV("pruned", fPruneMode);
- if (fPruneMode) {
+ obj.pushKV("size_on_disk", chainman.m_blockman.CalculateCurrentUsage());
+ obj.pushKV("pruned", node::fPruneMode);
+ if (node::fPruneMode) {
const CBlockIndex* block = tip;
CHECK_NONFATAL(block);
while (block->pprev && (block->pprev->nStatus & BLOCK_HAVE_DATA)) {
@@ -1351,23 +1592,17 @@ RPCHelpMan getblockchaininfo()
obj.pushKV("pruneheight", block->nHeight);
// if 0, execution bypasses the whole if block.
- bool automatic_pruning = (gArgs.GetArg("-prune", 0) != 1);
+ bool automatic_pruning{args.GetIntArg("-prune", 0) != 1};
obj.pushKV("automatic_pruning", automatic_pruning);
if (automatic_pruning) {
- obj.pushKV("prune_target_size", nPruneTarget);
+ obj.pushKV("prune_target_size", node::nPruneTarget);
}
}
- const Consensus::Params& consensusParams = Params().GetConsensus();
- UniValue softforks(UniValue::VOBJ);
- BuriedForkDescPushBack(softforks, "bip34", consensusParams.BIP34Height);
- BuriedForkDescPushBack(softforks, "bip66", consensusParams.BIP66Height);
- BuriedForkDescPushBack(softforks, "bip65", consensusParams.BIP65Height);
- BuriedForkDescPushBack(softforks, "csv", consensusParams.CSVHeight);
- BuriedForkDescPushBack(softforks, "segwit", consensusParams.SegwitHeight);
- BIP9SoftForkDescPushBack(softforks, "testdummy", consensusParams, Consensus::DEPLOYMENT_TESTDUMMY);
- BIP9SoftForkDescPushBack(softforks, "taproot", consensusParams, Consensus::DEPLOYMENT_TAPROOT);
- obj.pushKV("softforks", softforks);
+ if (IsDeprecatedRPCEnabled("softforks")) {
+ const Consensus::Params& consensusParams = Params().GetConsensus();
+ obj.pushKV("softforks", DeploymentInfo(tip, consensusParams));
+ }
obj.pushKV("warnings", GetWarnings(false).original);
return obj;
@@ -1375,6 +1610,92 @@ RPCHelpMan getblockchaininfo()
};
}
+namespace {
+const std::vector<RPCResult> RPCHelpForDeployment{
+ {RPCResult::Type::STR, "type", "one of \"buried\", \"bip9\""},
+ {RPCResult::Type::NUM, "height", /*optional=*/true, "height of the first block which the rules are or will be enforced (only for \"buried\" type, or \"bip9\" type with \"active\" status)"},
+ {RPCResult::Type::BOOL, "active", "true if the rules are enforced for the mempool and the next block"},
+ {RPCResult::Type::OBJ, "bip9", /*optional=*/true, "status of bip9 softforks (only for \"bip9\" type)",
+ {
+ {RPCResult::Type::NUM, "bit", /*optional=*/true, "the bit (0-28) in the block version field used to signal this softfork (only for \"started\" and \"locked_in\" status)"},
+ {RPCResult::Type::NUM_TIME, "start_time", "the minimum median time past of a block at which the bit gains its meaning"},
+ {RPCResult::Type::NUM_TIME, "timeout", "the median time past of a block at which the deployment is considered failed if not yet locked in"},
+ {RPCResult::Type::NUM, "min_activation_height", "minimum height of blocks for which the rules may be enforced"},
+ {RPCResult::Type::STR, "status", "status of deployment at specified block (one of \"defined\", \"started\", \"locked_in\", \"active\", \"failed\")"},
+ {RPCResult::Type::NUM, "since", "height of the first block to which the status applies"},
+ {RPCResult::Type::STR, "status-next", "status of deployment at the next block"},
+ {RPCResult::Type::OBJ, "statistics", /*optional=*/true, "numeric statistics about signalling for a softfork (only for \"started\" and \"locked_in\" status)",
+ {
+ {RPCResult::Type::NUM, "period", "the length in blocks of the signalling period"},
+ {RPCResult::Type::NUM, "threshold", /*optional=*/true, "the number of blocks with the version bit set required to activate the feature (only for \"started\" status)"},
+ {RPCResult::Type::NUM, "elapsed", "the number of blocks elapsed since the beginning of the current period"},
+ {RPCResult::Type::NUM, "count", "the number of blocks with the version bit set in the current period"},
+ {RPCResult::Type::BOOL, "possible", /*optional=*/true, "returns false if there are not enough blocks left in this period to pass activation threshold (only for \"started\" status)"},
+ }},
+ {RPCResult::Type::STR, "signalling", "indicates blocks that signalled with a # and blocks that did not with a -"},
+ }},
+};
+
+UniValue DeploymentInfo(const CBlockIndex* blockindex, const Consensus::Params& consensusParams)
+{
+ UniValue softforks(UniValue::VOBJ);
+ SoftForkDescPushBack(blockindex, softforks, consensusParams, Consensus::DEPLOYMENT_HEIGHTINCB);
+ SoftForkDescPushBack(blockindex, softforks, consensusParams, Consensus::DEPLOYMENT_DERSIG);
+ SoftForkDescPushBack(blockindex, softforks, consensusParams, Consensus::DEPLOYMENT_CLTV);
+ SoftForkDescPushBack(blockindex, softforks, consensusParams, Consensus::DEPLOYMENT_CSV);
+ SoftForkDescPushBack(blockindex, softforks, consensusParams, Consensus::DEPLOYMENT_SEGWIT);
+ SoftForkDescPushBack(blockindex, softforks, consensusParams, Consensus::DEPLOYMENT_TESTDUMMY);
+ SoftForkDescPushBack(blockindex, softforks, consensusParams, Consensus::DEPLOYMENT_TAPROOT);
+ return softforks;
+}
+} // anon namespace
+
+static RPCHelpMan getdeploymentinfo()
+{
+ return RPCHelpMan{"getdeploymentinfo",
+ "Returns an object containing various state info regarding deployments of consensus changes.",
+ {
+ {"blockhash", RPCArg::Type::STR_HEX, RPCArg::Default{"hash of current chain tip"}, "The block hash at which to query deployment state"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "", {
+ {RPCResult::Type::STR, "hash", "requested block hash (or tip)"},
+ {RPCResult::Type::NUM, "height", "requested block height (or tip)"},
+ {RPCResult::Type::OBJ, "deployments", "", {
+ {RPCResult::Type::OBJ, "xxxx", "name of the deployment", RPCHelpForDeployment}
+ }},
+ }
+ },
+ RPCExamples{ HelpExampleCli("getdeploymentinfo", "") + HelpExampleRpc("getdeploymentinfo", "") },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+ {
+ const ChainstateManager& chainman = EnsureAnyChainman(request.context);
+ LOCK(cs_main);
+ const CChainState& active_chainstate = chainman.ActiveChainstate();
+
+ const CBlockIndex* blockindex;
+ if (request.params[0].isNull()) {
+ blockindex = active_chainstate.m_chain.Tip();
+ CHECK_NONFATAL(blockindex);
+ } else {
+ const uint256 hash(ParseHashV(request.params[0], "blockhash"));
+ blockindex = chainman.m_blockman.LookupBlockIndex(hash);
+ if (!blockindex) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
+ }
+ }
+
+ const Consensus::Params& consensusParams = Params().GetConsensus();
+
+ UniValue deploymentinfo(UniValue::VOBJ);
+ deploymentinfo.pushKV("hash", blockindex->GetBlockHash().ToString());
+ deploymentinfo.pushKV("height", blockindex->nHeight);
+ deploymentinfo.pushKV("deployments", DeploymentInfo(blockindex, consensusParams));
+ return deploymentinfo;
+ },
+ };
+}
+
/** Comparison function for sorting the getchaintips heads. */
struct CompareBlocksByHeight
{
@@ -1417,8 +1738,9 @@ static RPCHelpMan getchaintips()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- ChainstateManager& chainman = EnsureChainman(request.context);
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
+ CChain& active_chain = chainman.ActiveChain();
/*
* Idea: The set of chain tips is the active chain tip, plus orphan blocks which do not have another orphan building off of them.
@@ -1432,7 +1754,7 @@ static RPCHelpMan getchaintips()
std::set<const CBlockIndex*> setPrevs;
for (const std::pair<const uint256, CBlockIndex*>& item : chainman.BlockIndex()) {
- if (!chainman.ActiveChain().Contains(item.second)) {
+ if (!active_chain.Contains(item.second)) {
setOrphans.insert(item.second);
setPrevs.insert(item.second->pprev);
}
@@ -1445,7 +1767,7 @@ static RPCHelpMan getchaintips()
}
// Always report the currently active tip.
- setTips.insert(chainman.ActiveChain().Tip());
+ setTips.insert(active_chain.Tip());
/* Construct the output array. */
UniValue res(UniValue::VARR);
@@ -1454,11 +1776,11 @@ static RPCHelpMan getchaintips()
obj.pushKV("height", block->nHeight);
obj.pushKV("hash", block->phashBlock->GetHex());
- const int branchLen = block->nHeight - chainman.ActiveChain().FindFork(block)->nHeight;
+ const int branchLen = block->nHeight - active_chain.FindFork(block)->nHeight;
obj.pushKV("branchlen", branchLen);
std::string status;
- if (chainman.ActiveChain().Contains(block)) {
+ if (active_chain.Contains(block)) {
// This block is part of the currently active chain.
status = "active";
} else if (block->nStatus & BLOCK_FAILED_MASK) {
@@ -1497,7 +1819,7 @@ UniValue MempoolInfoToJSON(const CTxMemPool& pool)
ret.pushKV("bytes", (int64_t)pool.GetTotalTxSize());
ret.pushKV("usage", (int64_t)pool.DynamicMemoryUsage());
ret.pushKV("total_fee", ValueFromAmount(pool.GetTotalFee()));
- size_t maxmempool = gArgs.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000;
+ size_t maxmempool = gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000;
ret.pushKV("maxmempool", (int64_t) maxmempool);
ret.pushKV("mempoolminfee", ValueFromAmount(std::max(pool.GetMinFee(maxmempool), ::minRelayTxFee).GetFeePerK()));
ret.pushKV("minrelaytxfee", ValueFromAmount(::minRelayTxFee.GetFeePerK()));
@@ -1517,9 +1839,9 @@ static RPCHelpMan getmempoolinfo()
{RPCResult::Type::NUM, "size", "Current tx count"},
{RPCResult::Type::NUM, "bytes", "Sum of all virtual transaction sizes as defined in BIP 141. Differs from actual serialized size because witness data is discounted"},
{RPCResult::Type::NUM, "usage", "Total memory usage for the mempool"},
- {RPCResult::Type::STR_AMOUNT, "total_fee", "Total fees for the mempool in " + CURRENCY_UNIT + ", ignoring modified fees through prioritizetransaction"},
+ {RPCResult::Type::STR_AMOUNT, "total_fee", "Total fees for the mempool in " + CURRENCY_UNIT + ", ignoring modified fees through prioritisetransaction"},
{RPCResult::Type::NUM, "maxmempool", "Maximum memory usage for the mempool"},
- {RPCResult::Type::STR_AMOUNT, "mempoolminfee", "Minimum fee rate in " + CURRENCY_UNIT + "/kB for tx to be accepted. Is the maximum of minrelaytxfee and minimum mempool fee"},
+ {RPCResult::Type::STR_AMOUNT, "mempoolminfee", "Minimum fee rate in " + CURRENCY_UNIT + "/kvB for tx to be accepted. Is the maximum of minrelaytxfee and minimum mempool fee"},
{RPCResult::Type::STR_AMOUNT, "minrelaytxfee", "Current minimum relay fee for transactions"},
{RPCResult::Type::NUM, "unbroadcastcount", "Current number of transactions that haven't passed initial broadcast yet"}
}},
@@ -1529,7 +1851,7 @@ static RPCHelpMan getmempoolinfo()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- return MempoolInfoToJSON(EnsureMemPool(request.context));
+ return MempoolInfoToJSON(EnsureAnyMemPool(request.context));
},
};
}
@@ -1553,16 +1875,17 @@ static RPCHelpMan preciousblock()
uint256 hash(ParseHashV(request.params[0], "blockhash"));
CBlockIndex* pblockindex;
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
{
LOCK(cs_main);
- pblockindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ pblockindex = chainman.m_blockman.LookupBlockIndex(hash);
if (!pblockindex) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
}
}
BlockValidationState state;
- ::ChainstateActive().PreciousBlock(state, Params(), pblockindex);
+ chainman.ActiveChainstate().PreciousBlock(state, pblockindex);
if (!state.IsValid()) {
throw JSONRPCError(RPC_DATABASE_ERROR, state.ToString());
@@ -1590,18 +1913,19 @@ static RPCHelpMan invalidateblock()
uint256 hash(ParseHashV(request.params[0], "blockhash"));
BlockValidationState state;
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
CBlockIndex* pblockindex;
{
LOCK(cs_main);
- pblockindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ pblockindex = chainman.m_blockman.LookupBlockIndex(hash);
if (!pblockindex) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
}
}
- ::ChainstateActive().InvalidateBlock(state, Params(), pblockindex);
+ chainman.ActiveChainstate().InvalidateBlock(state, pblockindex);
if (state.IsValid()) {
- ::ChainstateActive().ActivateBestChain(state, Params());
+ chainman.ActiveChainstate().ActivateBestChain(state);
}
if (!state.IsValid()) {
@@ -1628,20 +1952,21 @@ static RPCHelpMan reconsiderblock()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
uint256 hash(ParseHashV(request.params[0], "blockhash"));
{
LOCK(cs_main);
- CBlockIndex* pblockindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ CBlockIndex* pblockindex = chainman.m_blockman.LookupBlockIndex(hash);
if (!pblockindex) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
}
- ::ChainstateActive().ResetBlockFailureFlags(pblockindex);
+ chainman.ActiveChainstate().ResetBlockFailureFlags(pblockindex);
}
BlockValidationState state;
- ::ChainstateActive().ActivateBestChain(state, Params());
+ chainman.ActiveChainstate().ActivateBestChain(state);
if (!state.IsValid()) {
throw JSONRPCError(RPC_DATABASE_ERROR, state.ToString());
@@ -1657,8 +1982,8 @@ static RPCHelpMan getchaintxstats()
return RPCHelpMan{"getchaintxstats",
"\nCompute statistics about the total number and rate of transactions in the chain.\n",
{
- {"nblocks", RPCArg::Type::NUM, /* default */ "one month", "Size of the window in number of blocks"},
- {"blockhash", RPCArg::Type::STR_HEX, /* default */ "chain tip", "The hash of the block that ends the window."},
+ {"nblocks", RPCArg::Type::NUM, RPCArg::DefaultHint{"one month"}, "Size of the window in number of blocks"},
+ {"blockhash", RPCArg::Type::STR_HEX, RPCArg::DefaultHint{"chain tip"}, "The hash of the block that ends the window."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -1668,9 +1993,9 @@ static RPCHelpMan getchaintxstats()
{RPCResult::Type::STR_HEX, "window_final_block_hash", "The hash of the final block in the window"},
{RPCResult::Type::NUM, "window_final_block_height", "The height of the final block in the window."},
{RPCResult::Type::NUM, "window_block_count", "Size of the window in number of blocks"},
- {RPCResult::Type::NUM, "window_tx_count", "The number of transactions in the window. Only returned if \"window_block_count\" is > 0"},
- {RPCResult::Type::NUM, "window_interval", "The elapsed time in the window in seconds. Only returned if \"window_block_count\" is > 0"},
- {RPCResult::Type::NUM, "txrate", "The average rate of transactions per second in the window. Only returned if \"window_interval\" is > 0"},
+ {RPCResult::Type::NUM, "window_tx_count", /*optional=*/true, "The number of transactions in the window. Only returned if \"window_block_count\" is > 0"},
+ {RPCResult::Type::NUM, "window_interval", /*optional=*/true, "The elapsed time in the window in seconds. Only returned if \"window_block_count\" is > 0"},
+ {RPCResult::Type::NUM, "txrate", /*optional=*/true, "The average rate of transactions per second in the window. Only returned if \"window_interval\" is > 0"},
}},
RPCExamples{
HelpExampleCli("getchaintxstats", "")
@@ -1678,20 +2003,21 @@ static RPCHelpMan getchaintxstats()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
const CBlockIndex* pindex;
int blockcount = 30 * 24 * 60 * 60 / Params().GetConsensus().nPowTargetSpacing; // By default: 1 month
if (request.params[1].isNull()) {
LOCK(cs_main);
- pindex = ::ChainActive().Tip();
+ pindex = chainman.ActiveChain().Tip();
} else {
uint256 hash(ParseHashV(request.params[1], "blockhash"));
LOCK(cs_main);
- pindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ pindex = chainman.m_blockman.LookupBlockIndex(hash);
if (!pindex) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
}
- if (!::ChainActive().Contains(pindex)) {
+ if (!chainman.ActiveChain().Contains(pindex)) {
throw JSONRPCError(RPC_INVALID_PARAMETER, "Block is not in main chain");
}
}
@@ -1794,7 +2120,7 @@ static RPCHelpMan getblockstats()
"It won't work for some heights with pruning.\n",
{
{"hash_or_height", RPCArg::Type::NUM, RPCArg::Optional::NO, "The block hash or height of the target block", "", {"", "string or numeric"}},
- {"stats", RPCArg::Type::ARR, /* default */ "all values", "Values to plot (see result below)",
+ {"stats", RPCArg::Type::ARR, RPCArg::DefaultHint{"all values"}, "Values to plot (see result below)",
{
{"height", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "Selected statistic"},
{"time", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "Selected statistic"},
@@ -1804,11 +2130,11 @@ static RPCHelpMan getblockstats()
RPCResult{
RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::NUM, "avgfee", "Average fee in the block"},
- {RPCResult::Type::NUM, "avgfeerate", "Average feerate (in satoshis per virtual byte)"},
- {RPCResult::Type::NUM, "avgtxsize", "Average transaction size"},
- {RPCResult::Type::STR_HEX, "blockhash", "The block hash (to check for potential reorgs)"},
- {RPCResult::Type::ARR_FIXED, "feerate_percentiles", "Feerates at the 10th, 25th, 50th, 75th, and 90th percentile weight unit (in satoshis per virtual byte)",
+ {RPCResult::Type::NUM, "avgfee", /*optional=*/true, "Average fee in the block"},
+ {RPCResult::Type::NUM, "avgfeerate", /*optional=*/true, "Average feerate (in satoshis per virtual byte)"},
+ {RPCResult::Type::NUM, "avgtxsize", /*optional=*/true, "Average transaction size"},
+ {RPCResult::Type::STR_HEX, "blockhash", /*optional=*/true, "The block hash (to check for potential reorgs)"},
+ {RPCResult::Type::ARR_FIXED, "feerate_percentiles", /*optional=*/true, "Feerates at the 10th, 25th, 50th, 75th, and 90th percentile weight unit (in satoshis per virtual byte)",
{
{RPCResult::Type::NUM, "10th_percentile_feerate", "The 10th percentile feerate"},
{RPCResult::Type::NUM, "25th_percentile_feerate", "The 25th percentile feerate"},
@@ -1816,30 +2142,30 @@ static RPCHelpMan getblockstats()
{RPCResult::Type::NUM, "75th_percentile_feerate", "The 75th percentile feerate"},
{RPCResult::Type::NUM, "90th_percentile_feerate", "The 90th percentile feerate"},
}},
- {RPCResult::Type::NUM, "height", "The height of the block"},
- {RPCResult::Type::NUM, "ins", "The number of inputs (excluding coinbase)"},
- {RPCResult::Type::NUM, "maxfee", "Maximum fee in the block"},
- {RPCResult::Type::NUM, "maxfeerate", "Maximum feerate (in satoshis per virtual byte)"},
- {RPCResult::Type::NUM, "maxtxsize", "Maximum transaction size"},
- {RPCResult::Type::NUM, "medianfee", "Truncated median fee in the block"},
- {RPCResult::Type::NUM, "mediantime", "The block median time past"},
- {RPCResult::Type::NUM, "mediantxsize", "Truncated median transaction size"},
- {RPCResult::Type::NUM, "minfee", "Minimum fee in the block"},
- {RPCResult::Type::NUM, "minfeerate", "Minimum feerate (in satoshis per virtual byte)"},
- {RPCResult::Type::NUM, "mintxsize", "Minimum transaction size"},
- {RPCResult::Type::NUM, "outs", "The number of outputs"},
- {RPCResult::Type::NUM, "subsidy", "The block subsidy"},
- {RPCResult::Type::NUM, "swtotal_size", "Total size of all segwit transactions"},
- {RPCResult::Type::NUM, "swtotal_weight", "Total weight of all segwit transactions"},
- {RPCResult::Type::NUM, "swtxs", "The number of segwit transactions"},
- {RPCResult::Type::NUM, "time", "The block time"},
- {RPCResult::Type::NUM, "total_out", "Total amount in all outputs (excluding coinbase and thus reward [ie subsidy + totalfee])"},
- {RPCResult::Type::NUM, "total_size", "Total size of all non-coinbase transactions"},
- {RPCResult::Type::NUM, "total_weight", "Total weight of all non-coinbase transactions"},
- {RPCResult::Type::NUM, "totalfee", "The fee total"},
- {RPCResult::Type::NUM, "txs", "The number of transactions (including coinbase)"},
- {RPCResult::Type::NUM, "utxo_increase", "The increase/decrease in the number of unspent outputs"},
- {RPCResult::Type::NUM, "utxo_size_inc", "The increase/decrease in size for the utxo index (not discounting op_return and similar)"},
+ {RPCResult::Type::NUM, "height", /*optional=*/true, "The height of the block"},
+ {RPCResult::Type::NUM, "ins", /*optional=*/true, "The number of inputs (excluding coinbase)"},
+ {RPCResult::Type::NUM, "maxfee", /*optional=*/true, "Maximum fee in the block"},
+ {RPCResult::Type::NUM, "maxfeerate", /*optional=*/true, "Maximum feerate (in satoshis per virtual byte)"},
+ {RPCResult::Type::NUM, "maxtxsize", /*optional=*/true, "Maximum transaction size"},
+ {RPCResult::Type::NUM, "medianfee", /*optional=*/true, "Truncated median fee in the block"},
+ {RPCResult::Type::NUM, "mediantime", /*optional=*/true, "The block median time past"},
+ {RPCResult::Type::NUM, "mediantxsize", /*optional=*/true, "Truncated median transaction size"},
+ {RPCResult::Type::NUM, "minfee", /*optional=*/true, "Minimum fee in the block"},
+ {RPCResult::Type::NUM, "minfeerate", /*optional=*/true, "Minimum feerate (in satoshis per virtual byte)"},
+ {RPCResult::Type::NUM, "mintxsize", /*optional=*/true, "Minimum transaction size"},
+ {RPCResult::Type::NUM, "outs", /*optional=*/true, "The number of outputs"},
+ {RPCResult::Type::NUM, "subsidy", /*optional=*/true, "The block subsidy"},
+ {RPCResult::Type::NUM, "swtotal_size", /*optional=*/true, "Total size of all segwit transactions"},
+ {RPCResult::Type::NUM, "swtotal_weight", /*optional=*/true, "Total weight of all segwit transactions"},
+ {RPCResult::Type::NUM, "swtxs", /*optional=*/true, "The number of segwit transactions"},
+ {RPCResult::Type::NUM, "time", /*optional=*/true, "The block time"},
+ {RPCResult::Type::NUM, "total_out", /*optional=*/true, "Total amount in all outputs (excluding coinbase and thus reward [ie subsidy + totalfee])"},
+ {RPCResult::Type::NUM, "total_size", /*optional=*/true, "Total size of all non-coinbase transactions"},
+ {RPCResult::Type::NUM, "total_weight", /*optional=*/true, "Total weight of all non-coinbase transactions"},
+ {RPCResult::Type::NUM, "totalfee", /*optional=*/true, "The fee total"},
+ {RPCResult::Type::NUM, "txs", /*optional=*/true, "The number of transactions (including coinbase)"},
+ {RPCResult::Type::NUM, "utxo_increase", /*optional=*/true, "The increase/decrease in the number of unspent outputs"},
+ {RPCResult::Type::NUM, "utxo_size_inc", /*optional=*/true, "The increase/decrease in size for the utxo index (not discounting op_return and similar)"},
}},
RPCExamples{
HelpExampleCli("getblockstats", R"('"00000000c937983704a73af28acdec37b049d214adbda81d7e2a3dd146f6ed09"' '["minfeerate","avgfeerate"]')") +
@@ -1849,31 +2175,9 @@ static RPCHelpMan getblockstats()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
-
- CBlockIndex* pindex;
- if (request.params[0].isNum()) {
- const int height = request.params[0].get_int();
- const int current_tip = ::ChainActive().Height();
- if (height < 0) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Target block height %d is negative", height));
- }
- if (height > current_tip) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Target block height %d after current tip %d", height, current_tip));
- }
-
- pindex = ::ChainActive()[height];
- } else {
- const uint256 hash(ParseHashV(request.params[0], "hash_or_height"));
- pindex = g_chainman.m_blockman.LookupBlockIndex(hash);
- if (!pindex) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
- }
- if (!::ChainActive().Contains(pindex)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Block is not in chain %s", Params().NetworkIDString()));
- }
- }
-
+ CBlockIndex* pindex{ParseHashOrHeight(request.params[0], chainman)};
CHECK_NONFATAL(pindex != nullptr);
std::set<std::string> stats;
@@ -2039,7 +2343,7 @@ static RPCHelpMan getblockstats()
for (const std::string& stat : stats) {
const UniValue& value = ret_all[stat];
if (value.isNull()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid selected statistic %s", stat));
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid selected statistic '%s'", stat));
}
ret.pushKV(stat, value);
}
@@ -2053,14 +2357,19 @@ static RPCHelpMan savemempool()
return RPCHelpMan{"savemempool",
"\nDumps the mempool to disk. It will fail until the previous dump is fully loaded.\n",
{},
- RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "filename", "the directory and file where the mempool was saved"},
+ }},
RPCExamples{
HelpExampleCli("savemempool", "")
+ HelpExampleRpc("savemempool", "")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ const ArgsManager& args{EnsureAnyArgsman(request.context)};
+ const CTxMemPool& mempool = EnsureAnyMemPool(request.context);
if (!mempool.IsLoaded()) {
throw JSONRPCError(RPC_MISC_ERROR, "The mempool was not loaded yet");
@@ -2070,7 +2379,10 @@ static RPCHelpMan savemempool()
throw JSONRPCError(RPC_MISC_ERROR, "Unable to dump mempool to disk");
}
- return NullUniValue;
+ UniValue ret(UniValue::VOBJ);
+ ret.pushKV("filename", fs::path((args.GetDataDirNet() / "mempool.dat")).u8string());
+
+ return ret;
},
};
}
@@ -2123,6 +2435,7 @@ public:
if (g_scan_in_progress.exchange(true)) {
return false;
}
+ CHECK_NONFATAL(g_scan_progress == 0);
m_could_reserve = true;
return true;
}
@@ -2130,66 +2443,81 @@ public:
~CoinsViewScanReserver() {
if (m_could_reserve) {
g_scan_in_progress = false;
+ g_scan_progress = 0;
}
}
};
static RPCHelpMan scantxoutset()
{
+ // scriptPubKey corresponding to mainnet address 12cbQLTFMXRnSzktFkuoG3eHoMeFtpTu3S
+ const std::string EXAMPLE_DESCRIPTOR_RAW = "raw(76a91411b366edfc0a8b66feebae5c2e25a7b6a5d1cf3188ac)#fm24fxxy";
+
return RPCHelpMan{"scantxoutset",
- "\nEXPERIMENTAL warning: this call may be removed or changed in future releases.\n"
- "\nScans the unspent transaction output set for entries that match certain output descriptors.\n"
- "Examples of output descriptors are:\n"
- " addr(<address>) Outputs whose scriptPubKey corresponds to the specified address (does not include P2PK)\n"
- " raw(<hex script>) Outputs whose scriptPubKey equals the specified hex scripts\n"
- " combo(<pubkey>) P2PK, P2PKH, P2WPKH, and P2SH-P2WPKH outputs for the given pubkey\n"
- " pkh(<pubkey>) P2PKH outputs for the given pubkey\n"
- " sh(multi(<n>,<pubkey>,<pubkey>,...)) P2SH-multisig outputs for the given threshold and pubkeys\n"
- "\nIn the above, <pubkey> either refers to a fixed public key in hexadecimal notation, or to an xpub/xprv optionally followed by one\n"
- "or more path elements separated by \"/\", and optionally ending in \"/*\" (unhardened), or \"/*'\" or \"/*h\" (hardened) to specify all\n"
- "unhardened or hardened child keys.\n"
- "In the latter case, a range needs to be specified by below if different from 1000.\n"
- "For more information on output descriptors, see the documentation in the doc/descriptors.md file.\n",
+ "\nScans the unspent transaction output set for entries that match certain output descriptors.\n"
+ "Examples of output descriptors are:\n"
+ " addr(<address>) Outputs whose scriptPubKey corresponds to the specified address (does not include P2PK)\n"
+ " raw(<hex script>) Outputs whose scriptPubKey equals the specified hex scripts\n"
+ " combo(<pubkey>) P2PK, P2PKH, P2WPKH, and P2SH-P2WPKH outputs for the given pubkey\n"
+ " pkh(<pubkey>) P2PKH outputs for the given pubkey\n"
+ " sh(multi(<n>,<pubkey>,<pubkey>,...)) P2SH-multisig outputs for the given threshold and pubkeys\n"
+ "\nIn the above, <pubkey> either refers to a fixed public key in hexadecimal notation, or to an xpub/xprv optionally followed by one\n"
+ "or more path elements separated by \"/\", and optionally ending in \"/*\" (unhardened), or \"/*'\" or \"/*h\" (hardened) to specify all\n"
+ "unhardened or hardened child keys.\n"
+ "In the latter case, a range needs to be specified by below if different from 1000.\n"
+ "For more information on output descriptors, see the documentation in the doc/descriptors.md file.\n",
+ {
+ {"action", RPCArg::Type::STR, RPCArg::Optional::NO, "The action to execute\n"
+ "\"start\" for starting a scan\n"
+ "\"abort\" for aborting the current scan (returns true when abort was successful)\n"
+ "\"status\" for progress report (in %) of the current scan"},
+ {"scanobjects", RPCArg::Type::ARR, RPCArg::Optional::OMITTED, "Array of scan objects. Required for \"start\" action\n"
+ "Every scan object is either a string descriptor or an object:",
+ {
+ {"descriptor", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "An output descriptor"},
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "An object with output descriptor and metadata",
{
- {"action", RPCArg::Type::STR, RPCArg::Optional::NO, "The action to execute\n"
- " \"start\" for starting a scan\n"
- " \"abort\" for aborting the current scan (returns true when abort was successful)\n"
- " \"status\" for progress report (in %) of the current scan"},
- {"scanobjects", RPCArg::Type::ARR, RPCArg::Optional::OMITTED, "Array of scan objects. Required for \"start\" action\n"
- " Every scan object is either a string descriptor or an object:",
- {
- {"descriptor", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "An output descriptor"},
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "An object with output descriptor and metadata",
- {
- {"desc", RPCArg::Type::STR, RPCArg::Optional::NO, "An output descriptor"},
- {"range", RPCArg::Type::RANGE, /* default */ "1000", "The range of HD chain indexes to explore (either end or [begin,end])"},
- },
- },
- },
+ {"desc", RPCArg::Type::STR, RPCArg::Optional::NO, "An output descriptor"},
+ {"range", RPCArg::Type::RANGE, RPCArg::Default{1000}, "The range of HD chain indexes to explore (either end or [begin,end])"},
+ }},
+ },
"[scanobjects,...]"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
+ },
+ {
+ RPCResult{"When action=='abort'", RPCResult::Type::BOOL, "", ""},
+ RPCResult{"When action=='status' and no scan is in progress", RPCResult::Type::NONE, "", ""},
+ RPCResult{"When action=='status' and scan is in progress", RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::NUM, "progress", "The scan progress"},
+ }},
+ RPCResult{"When action=='start'", RPCResult::Type::OBJ, "", "", {
+ {RPCResult::Type::BOOL, "success", "Whether the scan was completed"},
+ {RPCResult::Type::NUM, "txouts", "The number of unspent transaction outputs scanned"},
+ {RPCResult::Type::NUM, "height", "The current block height (index)"},
+ {RPCResult::Type::STR_HEX, "bestblock", "The hash of the block at the tip of the chain"},
+ {RPCResult::Type::ARR, "unspents", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::BOOL, "success", "Whether the scan was completed"},
- {RPCResult::Type::NUM, "txouts", "The number of unspent transaction outputs scanned"},
- {RPCResult::Type::NUM, "height", "The current block height (index)"},
- {RPCResult::Type::STR_HEX, "bestblock", "The hash of the block at the tip of the chain"},
- {RPCResult::Type::ARR, "unspents", "",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "txid", "The transaction id"},
- {RPCResult::Type::NUM, "vout", "The vout value"},
- {RPCResult::Type::STR_HEX, "scriptPubKey", "The script key"},
- {RPCResult::Type::STR, "desc", "A specialized descriptor for the matched scriptPubKey"},
- {RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " of the unspent output"},
- {RPCResult::Type::NUM, "height", "Height of the unspent transaction output"},
- }},
- }},
- {RPCResult::Type::STR_AMOUNT, "total_amount", "The total amount of all found unspent outputs in " + CURRENCY_UNIT},
+ {RPCResult::Type::STR_HEX, "txid", "The transaction id"},
+ {RPCResult::Type::NUM, "vout", "The vout value"},
+ {RPCResult::Type::STR_HEX, "scriptPubKey", "The script key"},
+ {RPCResult::Type::STR, "desc", "A specialized descriptor for the matched scriptPubKey"},
+ {RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " of the unspent output"},
+ {RPCResult::Type::NUM, "height", "Height of the unspent transaction output"},
}},
- RPCExamples{""},
+ }},
+ {RPCResult::Type::STR_AMOUNT, "total_amount", "The total amount of all found unspent outputs in " + CURRENCY_UNIT},
+ }},
+ },
+ RPCExamples{
+ HelpExampleCli("scantxoutset", "start \'[\"" + EXAMPLE_DESCRIPTOR_RAW + "\"]\'") +
+ HelpExampleCli("scantxoutset", "status") +
+ HelpExampleCli("scantxoutset", "abort") +
+ HelpExampleRpc("scantxoutset", "\"start\", [\"" + EXAMPLE_DESCRIPTOR_RAW + "\"]") +
+ HelpExampleRpc("scantxoutset", "\"status\"") +
+ HelpExampleRpc("scantxoutset", "\"abort\"")
+ },
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
RPCTypeCheck(request.params, {UniValue::VSTR, UniValue::VARR});
@@ -2242,19 +2570,20 @@ static RPCHelpMan scantxoutset()
std::vector<CTxOut> input_txos;
std::map<COutPoint, Coin> coins;
g_should_abort_scan = false;
- g_scan_progress = 0;
int64_t count = 0;
std::unique_ptr<CCoinsViewCursor> pcursor;
CBlockIndex* tip;
+ NodeContext& node = EnsureAnyNodeContext(request.context);
{
+ ChainstateManager& chainman = EnsureChainman(node);
LOCK(cs_main);
- ::ChainstateActive().ForceFlushStateToDisk();
- pcursor = std::unique_ptr<CCoinsViewCursor>(::ChainstateActive().CoinsDB().Cursor());
+ CChainState& active_chainstate = chainman.ActiveChainstate();
+ active_chainstate.ForceFlushStateToDisk();
+ pcursor = active_chainstate.CoinsDB().Cursor();
CHECK_NONFATAL(pcursor);
- tip = ::ChainActive().Tip();
+ tip = active_chainstate.m_chain.Tip();
CHECK_NONFATAL(tip);
}
- NodeContext& node = EnsureNodeContext(request.context);
bool res = FindScriptPubKey(g_scan_progress, g_should_abort_scan, count, pcursor.get(), needles, coins, node.rpc_interruption_point);
result.pushKV("success", res);
result.pushKV("txouts", count);
@@ -2294,7 +2623,7 @@ static RPCHelpMan getblockfilter()
"\nRetrieve a BIP 157 content filter for a particular block.\n",
{
{"blockhash", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The hash of the block"},
- {"filtertype", RPCArg::Type::STR, /*default*/ "basic", "The type name of the filter"},
+ {"filtertype", RPCArg::Type::STR, RPCArg::Default{"basic"}, "The type name of the filter"},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -2327,8 +2656,9 @@ static RPCHelpMan getblockfilter()
const CBlockIndex* block_index;
bool block_was_connected;
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- block_index = g_chainman.m_blockman.LookupBlockIndex(block_hash);
+ block_index = chainman.m_blockman.LookupBlockIndex(block_hash);
if (!block_index) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
}
@@ -2375,13 +2705,9 @@ static RPCHelpMan dumptxoutset()
{
return RPCHelpMan{
"dumptxoutset",
- "\nWrite the serialized UTXO set to disk.\n",
+ "Write the serialized UTXO set to disk.",
{
- {"path",
- RPCArg::Type::STR,
- RPCArg::Optional::NO,
- /* default_val */ "",
- "path to the output file. If relative, will be prefixed by datadir."},
+ {"path", RPCArg::Type::STR, RPCArg::Optional::NO, "Path to the output file. If relative, will be prefixed by datadir."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -2390,6 +2716,8 @@ static RPCHelpMan dumptxoutset()
{RPCResult::Type::STR_HEX, "base_hash", "the hash of the base of the snapshot"},
{RPCResult::Type::NUM, "base_height", "the height of the base of the snapshot"},
{RPCResult::Type::STR, "path", "the absolute path that the snapshot was written to"},
+ {RPCResult::Type::STR_HEX, "txoutset_hash", "the hash of the UTXO set contents"},
+ {RPCResult::Type::NUM, "nchaintx", "the number of transactions in the chain up to and including the base block"},
}
},
RPCExamples{
@@ -2397,34 +2725,41 @@ static RPCHelpMan dumptxoutset()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- const fs::path path = fsbridge::AbsPathJoin(GetDataDir(), request.params[0].get_str());
+ const ArgsManager& args{EnsureAnyArgsman(request.context)};
+ const fs::path path = fsbridge::AbsPathJoin(args.GetDataDirNet(), fs::u8path(request.params[0].get_str()));
// Write to a temporary path and then move into `path` on completion
// to avoid confusion due to an interruption.
- const fs::path temppath = fsbridge::AbsPathJoin(GetDataDir(), request.params[0].get_str() + ".incomplete");
+ const fs::path temppath = fsbridge::AbsPathJoin(args.GetDataDirNet(), fs::u8path(request.params[0].get_str() + ".incomplete"));
if (fs::exists(path)) {
throw JSONRPCError(
RPC_INVALID_PARAMETER,
- path.string() + " already exists. If you are sure this is what you want, "
+ path.u8string() + " already exists. If you are sure this is what you want, "
"move it out of the way first");
}
FILE* file{fsbridge::fopen(temppath, "wb")};
CAutoFile afile{file, SER_DISK, CLIENT_VERSION};
- NodeContext& node = EnsureNodeContext(request.context);
- UniValue result = CreateUTXOSnapshot(node, node.chainman->ActiveChainstate(), afile);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ UniValue result = CreateUTXOSnapshot(
+ node, node.chainman->ActiveChainstate(), afile, path, temppath);
fs::rename(temppath, path);
- result.pushKV("path", path.string());
+ result.pushKV("path", path.u8string());
return result;
},
};
}
-UniValue CreateUTXOSnapshot(NodeContext& node, CChainState& chainstate, CAutoFile& afile)
+UniValue CreateUTXOSnapshot(
+ NodeContext& node,
+ CChainState& chainstate,
+ CAutoFile& afile,
+ const fs::path& path,
+ const fs::path& temppath)
{
std::unique_ptr<CCoinsViewCursor> pcursor;
- CCoinsStats stats;
+ CCoinsStats stats{CoinStatsHashType::HASH_SERIALIZED};
CBlockIndex* tip;
{
@@ -2444,15 +2779,19 @@ UniValue CreateUTXOSnapshot(NodeContext& node, CChainState& chainstate, CAutoFil
chainstate.ForceFlushStateToDisk();
- if (!GetUTXOStats(&chainstate.CoinsDB(), stats, CoinStatsHashType::NONE, node.rpc_interruption_point)) {
+ if (!GetUTXOStats(&chainstate.CoinsDB(), chainstate.m_blockman, stats, node.rpc_interruption_point)) {
throw JSONRPCError(RPC_INTERNAL_ERROR, "Unable to read UTXO set");
}
- pcursor = std::unique_ptr<CCoinsViewCursor>(chainstate.CoinsDB().Cursor());
- tip = g_chainman.m_blockman.LookupBlockIndex(stats.hashBlock);
+ pcursor = chainstate.CoinsDB().Cursor();
+ tip = chainstate.m_blockman.LookupBlockIndex(stats.hashBlock);
CHECK_NONFATAL(tip);
}
+ LOG_TIME_SECONDS(strprintf("writing UTXO snapshot at height %s (%s) to file %s (via %s)",
+ tip->nHeight, tip->GetBlockHash().ToString(),
+ fs::PathToString(path), fs::PathToString(temppath)));
+
SnapshotMetadata metadata{tip->GetBlockHash(), stats.coins_count, tip->nChainTx};
afile << metadata;
@@ -2478,7 +2817,11 @@ UniValue CreateUTXOSnapshot(NodeContext& node, CChainState& chainstate, CAutoFil
result.pushKV("coins_written", stats.coins_count);
result.pushKV("base_hash", tip->GetBlockHash().ToString());
result.pushKV("base_height", tip->nHeight);
-
+ result.pushKV("path", path.u8string());
+ result.pushKV("txoutset_hash", stats.hashSerialized.ToString());
+ // Cast required because univalue doesn't have serialization specified for
+ // `unsigned int`, nChainTx's type.
+ result.pushKV("nchaintx", uint64_t{tip->nChainTx});
return result;
}
@@ -2494,10 +2837,12 @@ static const CRPCCommand commands[] =
{ "blockchain", &getbestblockhash, },
{ "blockchain", &getblockcount, },
{ "blockchain", &getblock, },
+ { "blockchain", &getblockfrompeer, },
{ "blockchain", &getblockhash, },
{ "blockchain", &getblockheader, },
{ "blockchain", &getchaintips, },
{ "blockchain", &getdifficulty, },
+ { "blockchain", &getdeploymentinfo, },
{ "blockchain", &getmempoolancestors, },
{ "blockchain", &getmempooldescendants, },
{ "blockchain", &getmempoolentry, },
diff --git a/src/rpc/blockchain.h b/src/rpc/blockchain.h
index d8cae4dd24..1f51d7c1ad 100644
--- a/src/rpc/blockchain.h
+++ b/src/rpc/blockchain.h
@@ -1,14 +1,17 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_RPC_BLOCKCHAIN_H
#define BITCOIN_RPC_BLOCKCHAIN_H
-#include <amount.h>
+#include <consensus/amount.h>
+#include <core_io.h>
+#include <fs.h>
#include <streams.h>
#include <sync.h>
+#include <any>
#include <stdint.h>
#include <vector>
@@ -16,15 +19,12 @@ extern RecursiveMutex cs_main;
class CBlock;
class CBlockIndex;
-class CBlockPolicyEstimator;
class CChainState;
class CTxMemPool;
-class ChainstateManager;
class UniValue;
+namespace node {
struct NodeContext;
-namespace util {
-class Ref;
-} // namespace util
+} // namespace node
static constexpr int NUM_GETBLOCKSTATS_PERCENTILES = 5;
@@ -40,7 +40,7 @@ double GetDifficulty(const CBlockIndex* blockindex);
void RPCNotifyBlockChange(const CBlockIndex*);
/** Block description to JSON */
-UniValue blockToJSON(const CBlock& block, const CBlockIndex* tip, const CBlockIndex* blockindex, bool txDetails = false) LOCKS_EXCLUDED(cs_main);
+UniValue blockToJSON(const CBlock& block, const CBlockIndex* tip, const CBlockIndex* blockindex, TxVerbosity verbosity) LOCKS_EXCLUDED(cs_main);
/** Mempool information to JSON */
UniValue MempoolInfoToJSON(const CTxMemPool& pool);
@@ -54,15 +54,15 @@ UniValue blockheaderToJSON(const CBlockIndex* tip, const CBlockIndex* blockindex
/** Used by getblockstats to get feerates at different percentiles by weight */
void CalculatePercentilesByWeight(CAmount result[NUM_GETBLOCKSTATS_PERCENTILES], std::vector<std::pair<CAmount, int64_t>>& scores, int64_t total_weight);
-NodeContext& EnsureNodeContext(const util::Ref& context);
-CTxMemPool& EnsureMemPool(const util::Ref& context);
-ChainstateManager& EnsureChainman(const util::Ref& context);
-CBlockPolicyEstimator& EnsureFeeEstimator(const util::Ref& context);
-
/**
* Helper to create UTXO snapshots given a chainstate and a file handle.
* @return a UniValue map containing metadata about the snapshot.
*/
-UniValue CreateUTXOSnapshot(NodeContext& node, CChainState& chainstate, CAutoFile& afile);
-
-#endif
+UniValue CreateUTXOSnapshot(
+ node::NodeContext& node,
+ CChainState& chainstate,
+ CAutoFile& afile,
+ const fs::path& path,
+ const fs::path& tmppath);
+
+#endif // BITCOIN_RPC_BLOCKCHAIN_H
diff --git a/src/rpc/client.cpp b/src/rpc/client.cpp
index 2b593cd10b..c480a093a4 100644
--- a/src/rpc/client.cpp
+++ b/src/rpc/client.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -46,16 +46,21 @@ static const CRPCConvertParam vRPCConvertParams[] =
{ "settxfee", 0, "amount" },
{ "sethdseed", 0, "newkeypool" },
{ "getreceivedbyaddress", 1, "minconf" },
+ { "getreceivedbyaddress", 2, "include_immature_coinbase" },
{ "getreceivedbylabel", 1, "minconf" },
+ { "getreceivedbylabel", 2, "include_immature_coinbase" },
{ "listreceivedbyaddress", 0, "minconf" },
{ "listreceivedbyaddress", 1, "include_empty" },
{ "listreceivedbyaddress", 2, "include_watchonly" },
+ { "listreceivedbyaddress", 4, "include_immature_coinbase" },
{ "listreceivedbylabel", 0, "minconf" },
{ "listreceivedbylabel", 1, "include_empty" },
{ "listreceivedbylabel", 2, "include_watchonly" },
+ { "listreceivedbylabel", 3, "include_immature_coinbase" },
{ "getbalance", 1, "minconf" },
{ "getbalance", 2, "include_watchonly" },
{ "getbalance", 3, "avoid_reuse" },
+ { "getblockfrompeer", 1, "peer_id" },
{ "getblockhash", 0, "height" },
{ "waitforblockheight", 0, "height" },
{ "waitforblockheight", 1, "timeout" },
@@ -115,6 +120,7 @@ static const CRPCConvertParam vRPCConvertParams[] =
{ "walletcreatefundedpsbt", 4, "bip32derivs" },
{ "walletprocesspsbt", 1, "sign" },
{ "walletprocesspsbt", 3, "bip32derivs" },
+ { "walletprocesspsbt", 4, "finalize" },
{ "createpsbt", 0, "inputs" },
{ "createpsbt", 1, "outputs" },
{ "createpsbt", 2, "locktime" },
@@ -127,8 +133,11 @@ static const CRPCConvertParam vRPCConvertParams[] =
{ "gettxout", 1, "n" },
{ "gettxout", 2, "include_mempool" },
{ "gettxoutproof", 0, "txids" },
+ { "gettxoutsetinfo", 1, "hash_or_height" },
+ { "gettxoutsetinfo", 2, "use_index"},
{ "lockunspent", 0, "unlock" },
{ "lockunspent", 1, "transactions" },
+ { "lockunspent", 2, "persistent" },
{ "send", 0, "outputs" },
{ "send", 1, "conf_target" },
{ "send", 3, "fee_rate"},
@@ -140,6 +149,7 @@ static const CRPCConvertParam vRPCConvertParams[] =
{ "importmulti", 0, "requests" },
{ "importmulti", 1, "options" },
{ "importdescriptors", 0, "requests" },
+ { "listdescriptors", 0, "private" },
{ "verifychain", 0, "checklevel" },
{ "verifychain", 1, "nblocks" },
{ "getblockstats", 0, "hash_or_height" },
@@ -184,10 +194,12 @@ static const CRPCConvertParam vRPCConvertParams[] =
{ "createwallet", 5, "descriptors"},
{ "createwallet", 6, "load_on_startup"},
{ "createwallet", 7, "external_signer"},
+ { "restorewallet", 2, "load_on_startup"},
{ "loadwallet", 1, "load_on_startup"},
{ "unloadwallet", 1, "load_on_startup"},
{ "getnodeaddresses", 0, "count"},
{ "addpeeraddress", 1, "port"},
+ { "addpeeraddress", 2, "tried"},
{ "stop", 0, "wait" },
};
// clang-format on
diff --git a/src/rpc/external_signer.cpp b/src/rpc/external_signer.cpp
new file mode 100644
index 0000000000..60ec15e904
--- /dev/null
+++ b/src/rpc/external_signer.cpp
@@ -0,0 +1,79 @@
+// Copyright (c) 2018-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chainparamsbase.h>
+#include <external_signer.h>
+#include <rpc/server.h>
+#include <rpc/util.h>
+#include <util/strencodings.h>
+#include <rpc/protocol.h>
+
+#include <string>
+#include <vector>
+
+#ifdef ENABLE_EXTERNAL_SIGNER
+
+static RPCHelpMan enumeratesigners()
+{
+ return RPCHelpMan{"enumeratesigners",
+ "Returns a list of external signers from -signer.",
+ {},
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::ARR, "signers", /* optional */ false, "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "fingerprint", "Master key fingerprint"},
+ {RPCResult::Type::STR, "name", "Device name"},
+ }},
+ },
+ }
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("enumeratesigners", "")
+ + HelpExampleRpc("enumeratesigners", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+ {
+ const std::string command = gArgs.GetArg("-signer", "");
+ if (command == "") throw JSONRPCError(RPC_MISC_ERROR, "Error: restart bitcoind with -signer=<cmd>");
+ const std::string chain = gArgs.GetChainName();
+ UniValue signers_res = UniValue::VARR;
+ try {
+ std::vector<ExternalSigner> signers;
+ ExternalSigner::Enumerate(command, signers, chain);
+ for (const ExternalSigner& signer : signers) {
+ UniValue signer_res = UniValue::VOBJ;
+ signer_res.pushKV("fingerprint", signer.m_fingerprint);
+ signer_res.pushKV("name", signer.m_name);
+ signers_res.push_back(signer_res);
+ }
+ } catch (const std::exception& e) {
+ throw JSONRPCError(RPC_MISC_ERROR, e.what());
+ }
+ UniValue result(UniValue::VOBJ);
+ result.pushKV("signers", signers_res);
+ return result;
+ }
+ };
+}
+
+void RegisterSignerRPCCommands(CRPCTable &t)
+{
+// clang-format off
+static const CRPCCommand commands[] =
+{ // category actor (function)
+ // --------------------- ------------------------
+ { "signer", &enumeratesigners, },
+};
+// clang-format on
+ for (const auto& c : commands) {
+ t.appendCommand(c.name, &c);
+ }
+}
+
+#endif // ENABLE_EXTERNAL_SIGNER
diff --git a/src/rpc/mining.cpp b/src/rpc/mining.cpp
index 50987a735b..0554367672 100644
--- a/src/rpc/mining.cpp
+++ b/src/rpc/mining.cpp
@@ -1,24 +1,27 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
#include <chain.h>
#include <chainparams.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
#include <consensus/params.h>
#include <consensus/validation.h>
#include <core_io.h>
+#include <deploymentinfo.h>
+#include <deploymentstatus.h>
#include <key_io.h>
-#include <miner.h>
#include <net.h>
#include <node/context.h>
+#include <node/miner.h>
#include <policy/fees.h>
#include <pow.h>
#include <rpc/blockchain.h>
#include <rpc/mining.h>
#include <rpc/server.h>
+#include <rpc/server_util.h>
#include <rpc/util.h>
#include <script/descriptor.h>
#include <script/script.h>
@@ -33,22 +36,29 @@
#include <util/translation.h>
#include <validation.h>
#include <validationinterface.h>
-#include <versionbitsinfo.h>
#include <warnings.h>
#include <memory>
#include <stdint.h>
+using node::BlockAssembler;
+using node::CBlockTemplate;
+using node::IncrementExtraNonce;
+using node::NodeContext;
+using node::RegenerateCommitments;
+using node::UpdateTime;
+
/**
* Return average network hashes per second based on the last 'lookup' blocks,
* or from the last difficulty change if 'lookup' is nonpositive.
* If 'height' is nonnegative, compute the estimate at the time when a given block was found.
*/
-static UniValue GetNetworkHashPS(int lookup, int height) {
- CBlockIndex *pb = ::ChainActive().Tip();
+static UniValue GetNetworkHashPS(int lookup, int height, const CChain& active_chain) {
+ const CBlockIndex* pb = active_chain.Tip();
- if (height >= 0 && height < ::ChainActive().Height())
- pb = ::ChainActive()[height];
+ if (height >= 0 && height < active_chain.Height()) {
+ pb = active_chain[height];
+ }
if (pb == nullptr || !pb->nHeight)
return 0;
@@ -61,7 +71,7 @@ static UniValue GetNetworkHashPS(int lookup, int height) {
if (lookup > pb->nHeight)
lookup = pb->nHeight;
- CBlockIndex *pb0 = pb;
+ const CBlockIndex* pb0 = pb;
int64_t minTime = pb0->GetBlockTime();
int64_t maxTime = minTime;
for (int i = 0; i < lookup; i++) {
@@ -88,8 +98,8 @@ static RPCHelpMan getnetworkhashps()
"Pass in [blocks] to override # of blocks, -1 specifies since last difficulty change.\n"
"Pass in [height] to estimate the network speed at the time when a certain block was found.\n",
{
- {"nblocks", RPCArg::Type::NUM, /* default */ "120", "The number of blocks, or -1 for blocks since last difficulty change."},
- {"height", RPCArg::Type::NUM, /* default */ "-1", "To estimate at the time of the given height."},
+ {"nblocks", RPCArg::Type::NUM, RPCArg::Default{120}, "The number of blocks, or -1 for blocks since last difficulty change."},
+ {"height", RPCArg::Type::NUM, RPCArg::Default{-1}, "To estimate at the time of the given height."},
},
RPCResult{
RPCResult::Type::NUM, "", "Hashes per second estimated"},
@@ -99,8 +109,9 @@ static RPCHelpMan getnetworkhashps()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- return GetNetworkHashPS(!request.params[0].isNull() ? request.params[0].get_int() : 120, !request.params[1].isNull() ? request.params[1].get_int() : -1);
+ return GetNetworkHashPS(!request.params[0].isNull() ? request.params[0].get_int() : 120, !request.params[1].isNull() ? request.params[1].get_int() : -1, chainman.ActiveChain());
},
};
}
@@ -111,7 +122,7 @@ static bool GenerateBlock(ChainstateManager& chainman, CBlock& block, uint64_t&
{
LOCK(cs_main);
- IncrementExtraNonce(&block, ::ChainActive().Tip(), extra_nonce);
+ IncrementExtraNonce(&block, chainman.ActiveChain().Tip(), extra_nonce);
}
CChainParams chainparams(Params());
@@ -143,14 +154,14 @@ static UniValue generateBlocks(ChainstateManager& chainman, const CTxMemPool& me
{ // Don't keep cs_main locked
LOCK(cs_main);
- nHeight = ::ChainActive().Height();
+ nHeight = chainman.ActiveChain().Height();
nHeightEnd = nHeight+nGenerate;
}
unsigned int nExtraNonce = 0;
UniValue blockHashes(UniValue::VARR);
while (nHeight < nHeightEnd && !ShutdownRequested())
{
- std::unique_ptr<CBlockTemplate> pblocktemplate(BlockAssembler(mempool, Params()).CreateNewBlock(coinbase_script));
+ std::unique_ptr<CBlockTemplate> pblocktemplate(BlockAssembler(chainman.ActiveChainstate(), mempool, Params()).CreateNewBlock(coinbase_script));
if (!pblocktemplate.get())
throw JSONRPCError(RPC_INTERNAL_ERROR, "Couldn't create new block");
CBlock *pblock = &pblocktemplate->block;
@@ -180,7 +191,7 @@ static bool getScriptFromDescriptor(const std::string& descriptor, CScript& scri
FlatSigningProvider provider;
std::vector<CScript> scripts;
if (!desc->Expand(0, key_provider, scripts, provider)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Cannot derive script without private keys"));
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Cannot derive script without private keys");
}
// Combo descriptors can have 2 or 4 scripts, so we can't just check scripts.size() == 1
@@ -210,7 +221,7 @@ static RPCHelpMan generatetodescriptor()
{
{"num_blocks", RPCArg::Type::NUM, RPCArg::Optional::NO, "How many blocks are generated immediately."},
{"descriptor", RPCArg::Type::STR, RPCArg::Optional::NO, "The descriptor to send the newly generated bitcoin to."},
- {"maxtries", RPCArg::Type::NUM, /* default */ ToString(DEFAULT_MAX_TRIES), "How many iterations to try."},
+ {"maxtries", RPCArg::Type::NUM, RPCArg::Default{DEFAULT_MAX_TRIES}, "How many iterations to try."},
},
RPCResult{
RPCResult::Type::ARR, "", "hashes of blocks generated",
@@ -231,8 +242,9 @@ static RPCHelpMan generatetodescriptor()
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, error);
}
- const CTxMemPool& mempool = EnsureMemPool(request.context);
- ChainstateManager& chainman = EnsureChainman(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
+ ChainstateManager& chainman = EnsureChainman(node);
return generateBlocks(chainman, mempool, coinbase_script, num_blocks, max_tries);
},
@@ -253,7 +265,7 @@ static RPCHelpMan generatetoaddress()
{
{"nblocks", RPCArg::Type::NUM, RPCArg::Optional::NO, "How many blocks are generated immediately."},
{"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The address to send the newly generated bitcoin to."},
- {"maxtries", RPCArg::Type::NUM, /* default */ ToString(DEFAULT_MAX_TRIES), "How many iterations to try."},
+ {"maxtries", RPCArg::Type::NUM, RPCArg::Default{DEFAULT_MAX_TRIES}, "How many iterations to try."},
},
RPCResult{
RPCResult::Type::ARR, "", "hashes of blocks generated",
@@ -276,8 +288,9 @@ static RPCHelpMan generatetoaddress()
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Error: Invalid address");
}
- const CTxMemPool& mempool = EnsureMemPool(request.context);
- ChainstateManager& chainman = EnsureChainman(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
+ ChainstateManager& chainman = EnsureChainman(node);
CScript coinbase_script = GetScriptForDestination(destination);
@@ -325,7 +338,8 @@ static RPCHelpMan generateblock()
coinbase_script = GetScriptForDestination(destination);
}
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
std::vector<CTransactionRef> txs;
const auto raw_txs_or_txids = request.params[1].get_array();
@@ -354,11 +368,12 @@ static RPCHelpMan generateblock()
CChainParams chainparams(Params());
CBlock block;
+ ChainstateManager& chainman = EnsureChainman(node);
{
LOCK(cs_main);
CTxMemPool empty_mempool;
- std::unique_ptr<CBlockTemplate> blocktemplate(BlockAssembler(empty_mempool, chainparams).CreateNewBlock(coinbase_script));
+ std::unique_ptr<CBlockTemplate> blocktemplate(BlockAssembler(chainman.ActiveChainstate(), empty_mempool, chainparams).CreateNewBlock(coinbase_script));
if (!blocktemplate) {
throw JSONRPCError(RPC_INTERNAL_ERROR, "Couldn't create new block");
}
@@ -369,13 +384,13 @@ static RPCHelpMan generateblock()
// Add transactions
block.vtx.insert(block.vtx.end(), txs.begin(), txs.end());
- RegenerateCommitments(block);
+ RegenerateCommitments(block, chainman);
{
LOCK(cs_main);
BlockValidationState state;
- if (!TestBlockValidity(state, chainparams, ::ChainstateActive(), block, g_chainman.m_blockman.LookupBlockIndex(block.hashPrevBlock), false, false)) {
+ if (!TestBlockValidity(state, chainparams, chainman.ActiveChainstate(), block, chainman.m_blockman.LookupBlockIndex(block.hashPrevBlock), false, false)) {
throw JSONRPCError(RPC_VERIFY_ERROR, strprintf("TestBlockValidity failed: %s", state.ToString()));
}
}
@@ -384,7 +399,7 @@ static RPCHelpMan generateblock()
uint64_t max_tries{DEFAULT_MAX_TRIES};
unsigned int extra_nonce{0};
- if (!GenerateBlock(EnsureChainman(request.context), block, max_tries, extra_nonce, block_hash) || block_hash.IsNull()) {
+ if (!GenerateBlock(chainman, block, max_tries, extra_nonce, block_hash) || block_hash.IsNull()) {
throw JSONRPCError(RPC_MISC_ERROR, "Failed to make block.");
}
@@ -404,8 +419,8 @@ static RPCHelpMan getmininginfo()
RPCResult::Type::OBJ, "", "",
{
{RPCResult::Type::NUM, "blocks", "The current block"},
- {RPCResult::Type::NUM, "currentblockweight", /* optional */ true, "The block weight of the last assembled block (only present if a block was ever assembled)"},
- {RPCResult::Type::NUM, "currentblocktx", /* optional */ true, "The number of block transactions of the last assembled block (only present if a block was ever assembled)"},
+ {RPCResult::Type::NUM, "currentblockweight", /*optional=*/true, "The block weight of the last assembled block (only present if a block was ever assembled)"},
+ {RPCResult::Type::NUM, "currentblocktx", /*optional=*/true, "The number of block transactions of the last assembled block (only present if a block was ever assembled)"},
{RPCResult::Type::NUM, "difficulty", "The current difficulty"},
{RPCResult::Type::NUM, "networkhashps", "The network hashes per second"},
{RPCResult::Type::NUM, "pooledtx", "The size of the mempool"},
@@ -418,14 +433,17 @@ static RPCHelpMan getmininginfo()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
+ ChainstateManager& chainman = EnsureChainman(node);
LOCK(cs_main);
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ const CChain& active_chain = chainman.ActiveChain();
UniValue obj(UniValue::VOBJ);
- obj.pushKV("blocks", (int)::ChainActive().Height());
+ obj.pushKV("blocks", active_chain.Height());
if (BlockAssembler::m_last_block_weight) obj.pushKV("currentblockweight", *BlockAssembler::m_last_block_weight);
if (BlockAssembler::m_last_block_num_txs) obj.pushKV("currentblocktx", *BlockAssembler::m_last_block_num_txs);
- obj.pushKV("difficulty", (double)GetDifficulty(::ChainActive().Tip()));
+ obj.pushKV("difficulty", (double)GetDifficulty(active_chain.Tip()));
obj.pushKV("networkhashps", getnetworkhashps().HandleRequest(request));
obj.pushKV("pooledtx", (uint64_t)mempool.size());
obj.pushKV("chain", Params().NetworkIDString());
@@ -467,7 +485,7 @@ static RPCHelpMan prioritisetransaction()
throw JSONRPCError(RPC_INVALID_PARAMETER, "Priority is no longer supported, dummy argument to prioritisetransaction must be 0.");
}
- EnsureMemPool(request.context).PrioritiseTransaction(hash, nAmount);
+ EnsureAnyMemPool(request.context).PrioritiseTransaction(hash, nAmount);
return true;
},
};
@@ -505,94 +523,104 @@ static std::string gbt_vb_name(const Consensus::DeploymentPos pos) {
static RPCHelpMan getblocktemplate()
{
return RPCHelpMan{"getblocktemplate",
- "\nIf the request parameters include a 'mode' key, that is used to explicitly select between the default 'template' request or a 'proposal'.\n"
- "It returns data needed to construct a block to work on.\n"
- "For full specification, see BIPs 22, 23, 9, and 145:\n"
- " https://github.com/bitcoin/bips/blob/master/bip-0022.mediawiki\n"
- " https://github.com/bitcoin/bips/blob/master/bip-0023.mediawiki\n"
- " https://github.com/bitcoin/bips/blob/master/bip-0009.mediawiki#getblocktemplate_changes\n"
- " https://github.com/bitcoin/bips/blob/master/bip-0145.mediawiki\n",
+ "\nIf the request parameters include a 'mode' key, that is used to explicitly select between the default 'template' request or a 'proposal'.\n"
+ "It returns data needed to construct a block to work on.\n"
+ "For full specification, see BIPs 22, 23, 9, and 145:\n"
+ " https://github.com/bitcoin/bips/blob/master/bip-0022.mediawiki\n"
+ " https://github.com/bitcoin/bips/blob/master/bip-0023.mediawiki\n"
+ " https://github.com/bitcoin/bips/blob/master/bip-0009.mediawiki#getblocktemplate_changes\n"
+ " https://github.com/bitcoin/bips/blob/master/bip-0145.mediawiki\n",
+ {
+ {"template_request", RPCArg::Type::OBJ, RPCArg::Default{UniValue::VOBJ}, "Format of the template",
+ {
+ {"mode", RPCArg::Type::STR, /* treat as named arg */ RPCArg::Optional::OMITTED_NAMED_ARG, "This must be set to \"template\", \"proposal\" (see BIP 23), or omitted"},
+ {"capabilities", RPCArg::Type::ARR, /* treat as named arg */ RPCArg::Optional::OMITTED_NAMED_ARG, "A list of strings",
{
- {"template_request", RPCArg::Type::OBJ, "{}", "Format of the template",
- {
- {"mode", RPCArg::Type::STR, /* treat as named arg */ RPCArg::Optional::OMITTED_NAMED_ARG, "This must be set to \"template\", \"proposal\" (see BIP 23), or omitted"},
- {"capabilities", RPCArg::Type::ARR, /* treat as named arg */ RPCArg::Optional::OMITTED_NAMED_ARG, "A list of strings",
- {
- {"str", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "client side supported feature, 'longpoll', 'coinbasevalue', 'proposal', 'serverlist', 'workid'"},
- },
- },
- {"rules", RPCArg::Type::ARR, RPCArg::Optional::NO, "A list of strings",
- {
- {"segwit", RPCArg::Type::STR, RPCArg::Optional::NO, "(literal) indicates client side segwit support"},
- {"str", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "other client side supported softfork deployment"},
- },
- },
- },
+ {"str", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "client side supported feature, 'longpoll', 'coinbasevalue', 'proposal', 'serverlist', 'workid'"},
+ }},
+ {"rules", RPCArg::Type::ARR, RPCArg::Optional::NO, "A list of strings",
+ {
+ {"segwit", RPCArg::Type::STR, RPCArg::Optional::NO, "(literal) indicates client side segwit support"},
+ {"str", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "other client side supported softfork deployment"},
+ }},
+ },
"\"template_request\""},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
+ },
+ {
+ RPCResult{"If the proposal was accepted with mode=='proposal'", RPCResult::Type::NONE, "", ""},
+ RPCResult{"If the proposal was not accepted with mode=='proposal'", RPCResult::Type::STR, "", "According to BIP22"},
+ RPCResult{"Otherwise", RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::NUM, "version", "The preferred block version"},
+ {RPCResult::Type::ARR, "rules", "specific block rules that are to be enforced",
+ {
+ {RPCResult::Type::STR, "", "name of a rule the client must understand to some extent; see BIP 9 for format"},
+ }},
+ {RPCResult::Type::OBJ_DYN, "vbavailable", "set of pending, supported versionbit (BIP 9) softfork deployments",
+ {
+ {RPCResult::Type::NUM, "rulename", "identifies the bit number as indicating acceptance and readiness for the named softfork rule"},
+ }},
+ {RPCResult::Type::ARR, "capabilities", "",
+ {
+ {RPCResult::Type::STR, "value", "A supported feature, for example 'proposal'"},
+ }},
+ {RPCResult::Type::NUM, "vbrequired", "bit mask of versionbits the server requires set in submissions"},
+ {RPCResult::Type::STR, "previousblockhash", "The hash of current highest block"},
+ {RPCResult::Type::ARR, "transactions", "contents of non-coinbase transactions that should be included in the next block",
+ {
+ {RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::NUM, "version", "The preferred block version"},
- {RPCResult::Type::ARR, "rules", "specific block rules that are to be enforced",
- {
- {RPCResult::Type::STR, "", "name of a rule the client must understand to some extent; see BIP 9 for format"},
- }},
- {RPCResult::Type::OBJ_DYN, "vbavailable", "set of pending, supported versionbit (BIP 9) softfork deployments",
- {
- {RPCResult::Type::NUM, "rulename", "identifies the bit number as indicating acceptance and readiness for the named softfork rule"},
- }},
- {RPCResult::Type::NUM, "vbrequired", "bit mask of versionbits the server requires set in submissions"},
- {RPCResult::Type::STR, "previousblockhash", "The hash of current highest block"},
- {RPCResult::Type::ARR, "transactions", "contents of non-coinbase transactions that should be included in the next block",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "data", "transaction data encoded in hexadecimal (byte-for-byte)"},
- {RPCResult::Type::STR_HEX, "txid", "transaction id encoded in little-endian hexadecimal"},
- {RPCResult::Type::STR_HEX, "hash", "hash encoded in little-endian hexadecimal (including witness data)"},
- {RPCResult::Type::ARR, "depends", "array of numbers",
- {
- {RPCResult::Type::NUM, "", "transactions before this one (by 1-based index in 'transactions' list) that must be present in the final block if this one is"},
- }},
- {RPCResult::Type::NUM, "fee", "difference in value between transaction inputs and outputs (in satoshis); for coinbase transactions, this is a negative Number of the total collected block fees (ie, not including the block subsidy); if key is not present, fee is unknown and clients MUST NOT assume there isn't one"},
- {RPCResult::Type::NUM, "sigops", "total SigOps cost, as counted for purposes of block limits; if key is not present, sigop cost is unknown and clients MUST NOT assume it is zero"},
- {RPCResult::Type::NUM, "weight", "total transaction weight, as counted for purposes of block limits"},
- }},
- }},
- {RPCResult::Type::OBJ_DYN, "coinbaseaux", "data that should be included in the coinbase's scriptSig content",
+ {RPCResult::Type::STR_HEX, "data", "transaction data encoded in hexadecimal (byte-for-byte)"},
+ {RPCResult::Type::STR_HEX, "txid", "transaction id encoded in little-endian hexadecimal"},
+ {RPCResult::Type::STR_HEX, "hash", "hash encoded in little-endian hexadecimal (including witness data)"},
+ {RPCResult::Type::ARR, "depends", "array of numbers",
{
- {RPCResult::Type::STR_HEX, "key", "values must be in the coinbase (keys may be ignored)"},
+ {RPCResult::Type::NUM, "", "transactions before this one (by 1-based index in 'transactions' list) that must be present in the final block if this one is"},
}},
- {RPCResult::Type::NUM, "coinbasevalue", "maximum allowable input to coinbase transaction, including the generation award and transaction fees (in satoshis)"},
- {RPCResult::Type::STR, "longpollid", "an id to include with a request to longpoll on an update to this template"},
- {RPCResult::Type::STR, "target", "The hash target"},
- {RPCResult::Type::NUM_TIME, "mintime", "The minimum timestamp appropriate for the next block time, expressed in " + UNIX_EPOCH_TIME},
- {RPCResult::Type::ARR, "mutable", "list of ways the block template may be changed",
- {
- {RPCResult::Type::STR, "value", "A way the block template may be changed, e.g. 'time', 'transactions', 'prevblock'"},
- }},
- {RPCResult::Type::STR_HEX, "noncerange", "A range of valid nonces"},
- {RPCResult::Type::NUM, "sigoplimit", "limit of sigops in blocks"},
- {RPCResult::Type::NUM, "sizelimit", "limit of block size"},
- {RPCResult::Type::NUM, "weightlimit", "limit of block weight"},
- {RPCResult::Type::NUM_TIME, "curtime", "current timestamp in " + UNIX_EPOCH_TIME},
- {RPCResult::Type::STR, "bits", "compressed target of next block"},
- {RPCResult::Type::NUM, "height", "The height of the next block"},
- {RPCResult::Type::STR, "default_witness_commitment", /* optional */ true, "a valid witness commitment for the unmodified block template"}
+ {RPCResult::Type::NUM, "fee", "difference in value between transaction inputs and outputs (in satoshis); for coinbase transactions, this is a negative Number of the total collected block fees (ie, not including the block subsidy); if key is not present, fee is unknown and clients MUST NOT assume there isn't one"},
+ {RPCResult::Type::NUM, "sigops", "total SigOps cost, as counted for purposes of block limits; if key is not present, sigop cost is unknown and clients MUST NOT assume it is zero"},
+ {RPCResult::Type::NUM, "weight", "total transaction weight, as counted for purposes of block limits"},
}},
- RPCExamples{
+ }},
+ {RPCResult::Type::OBJ_DYN, "coinbaseaux", "data that should be included in the coinbase's scriptSig content",
+ {
+ {RPCResult::Type::STR_HEX, "key", "values must be in the coinbase (keys may be ignored)"},
+ }},
+ {RPCResult::Type::NUM, "coinbasevalue", "maximum allowable input to coinbase transaction, including the generation award and transaction fees (in satoshis)"},
+ {RPCResult::Type::STR, "longpollid", "an id to include with a request to longpoll on an update to this template"},
+ {RPCResult::Type::STR, "target", "The hash target"},
+ {RPCResult::Type::NUM_TIME, "mintime", "The minimum timestamp appropriate for the next block time, expressed in " + UNIX_EPOCH_TIME},
+ {RPCResult::Type::ARR, "mutable", "list of ways the block template may be changed",
+ {
+ {RPCResult::Type::STR, "value", "A way the block template may be changed, e.g. 'time', 'transactions', 'prevblock'"},
+ }},
+ {RPCResult::Type::STR_HEX, "noncerange", "A range of valid nonces"},
+ {RPCResult::Type::NUM, "sigoplimit", "limit of sigops in blocks"},
+ {RPCResult::Type::NUM, "sizelimit", "limit of block size"},
+ {RPCResult::Type::NUM, "weightlimit", /*optional=*/true, "limit of block weight"},
+ {RPCResult::Type::NUM_TIME, "curtime", "current timestamp in " + UNIX_EPOCH_TIME},
+ {RPCResult::Type::STR, "bits", "compressed target of next block"},
+ {RPCResult::Type::NUM, "height", "The height of the next block"},
+ {RPCResult::Type::STR_HEX, "signet_challenge", /*optional=*/true, "Only on signet"},
+ {RPCResult::Type::STR_HEX, "default_witness_commitment", /*optional=*/true, "a valid witness commitment for the unmodified block template"},
+ }},
+ },
+ RPCExamples{
HelpExampleCli("getblocktemplate", "'{\"rules\": [\"segwit\"]}'")
+ HelpExampleRpc("getblocktemplate", "{\"rules\": [\"segwit\"]}")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ ChainstateManager& chainman = EnsureChainman(node);
LOCK(cs_main);
std::string strMode = "template";
UniValue lpval = NullUniValue;
std::set<std::string> setClientRules;
int64_t nMaxVersionPreVB = -1;
+ CChainState& active_chainstate = chainman.ActiveChainstate();
+ CChain& active_chain = active_chainstate.m_chain;
if (!request.params[0].isNull())
{
const UniValue& oparam = request.params[0].get_obj();
@@ -618,7 +646,7 @@ static RPCHelpMan getblocktemplate()
throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "Block decode failed");
uint256 hash = block.GetHash();
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ const CBlockIndex* pindex = chainman.m_blockman.LookupBlockIndex(hash);
if (pindex) {
if (pindex->IsValid(BLOCK_VALID_SCRIPTS))
return "duplicate";
@@ -627,12 +655,12 @@ static RPCHelpMan getblocktemplate()
return "duplicate-inconclusive";
}
- CBlockIndex* const pindexPrev = ::ChainActive().Tip();
+ CBlockIndex* const pindexPrev = active_chain.Tip();
// TestBlockValidity only supports blocks built on the current Tip
if (block.hashPrevBlock != pindexPrev->GetBlockHash())
return "inconclusive-not-best-prevblk";
BlockValidationState state;
- TestBlockValidity(state, Params(), ::ChainstateActive(), block, pindexPrev, false, true);
+ TestBlockValidity(state, Params(), active_chainstate, block, pindexPrev, false, true);
return BIP22ValidationResult(state);
}
@@ -654,22 +682,19 @@ static RPCHelpMan getblocktemplate()
if (strMode != "template")
throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid mode");
- NodeContext& node = EnsureNodeContext(request.context);
- if(!node.connman)
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
-
if (!Params().IsTestChain()) {
- if (node.connman->GetNodeCount(CConnman::CONNECTIONS_ALL) == 0) {
+ const CConnman& connman = EnsureConnman(node);
+ if (connman.GetNodeCount(ConnectionDirection::Both) == 0) {
throw JSONRPCError(RPC_CLIENT_NOT_CONNECTED, PACKAGE_NAME " is not connected!");
}
- if (::ChainstateActive().IsInitialBlockDownload()) {
+ if (active_chainstate.IsInitialBlockDownload()) {
throw JSONRPCError(RPC_CLIENT_IN_INITIAL_DOWNLOAD, PACKAGE_NAME " is in initial sync and waiting for blocks...");
}
}
static unsigned int nTransactionsUpdatedLast;
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
if (!lpval.isNull())
{
@@ -684,12 +709,12 @@ static RPCHelpMan getblocktemplate()
std::string lpstr = lpval.get_str();
hashWatchedChain = ParseHashV(lpstr.substr(0, 64), "longpollid");
- nTransactionsUpdatedLastLP = atoi64(lpstr.substr(64));
+ nTransactionsUpdatedLastLP = LocaleIndependentAtoi<int64_t>(lpstr.substr(64));
}
else
{
// NOTE: Spec does not specify behaviour for non-string longpollid, but this makes testing easier
- hashWatchedChain = ::ChainActive().Tip()->GetBlockHash();
+ hashWatchedChain = active_chain.Tip()->GetBlockHash();
nTransactionsUpdatedLastLP = nTransactionsUpdatedLast;
}
@@ -734,7 +759,7 @@ static RPCHelpMan getblocktemplate()
static CBlockIndex* pindexPrev;
static int64_t nStart;
static std::unique_ptr<CBlockTemplate> pblocktemplate;
- if (pindexPrev != ::ChainActive().Tip() ||
+ if (pindexPrev != active_chain.Tip() ||
(mempool.GetTransactionsUpdated() != nTransactionsUpdatedLast && GetTime() - nStart > 5))
{
// Clear pindexPrev so future calls make a new block, despite any failures from here on
@@ -742,12 +767,12 @@ static RPCHelpMan getblocktemplate()
// Store the pindexBest used before CreateNewBlock, to avoid races
nTransactionsUpdatedLast = mempool.GetTransactionsUpdated();
- CBlockIndex* pindexPrevNew = ::ChainActive().Tip();
+ CBlockIndex* pindexPrevNew = active_chain.Tip();
nStart = GetTime();
// Create new block
CScript scriptDummy = CScript() << OP_TRUE;
- pblocktemplate = BlockAssembler(mempool, Params()).CreateNewBlock(scriptDummy);
+ pblocktemplate = BlockAssembler(active_chainstate, mempool, Params()).CreateNewBlock(scriptDummy);
if (!pblocktemplate)
throw JSONRPCError(RPC_OUT_OF_MEMORY, "Out of memory");
@@ -762,7 +787,7 @@ static RPCHelpMan getblocktemplate()
pblock->nNonce = 0;
// NOTE: If at some point we support pre-segwit miners post-segwit-activation, this needs to take segwit support into consideration
- const bool fPreSegWit = (pindexPrev->nHeight + 1 < consensusParams.SegwitHeight);
+ const bool fPreSegWit = !DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_SEGWIT);
UniValue aCaps(UniValue::VARR); aCaps.push_back("proposal");
@@ -828,7 +853,7 @@ static RPCHelpMan getblocktemplate()
UniValue vbavailable(UniValue::VOBJ);
for (int j = 0; j < (int)Consensus::MAX_VERSION_BITS_DEPLOYMENTS; ++j) {
Consensus::DeploymentPos pos = Consensus::DeploymentPos(j);
- ThresholdState state = VersionBitsState(pindexPrev, consensusParams, pos, versionbitscache);
+ ThresholdState state = g_versionbitscache.State(pindexPrev, consensusParams, pos);
switch (state) {
case ThresholdState::DEFINED:
case ThresholdState::FAILED:
@@ -836,8 +861,8 @@ static RPCHelpMan getblocktemplate()
break;
case ThresholdState::LOCKED_IN:
// Ensure bit is set in block version
- pblock->nVersion |= VersionBitsMask(consensusParams, pos);
- // FALL THROUGH to get vbavailable set...
+ pblock->nVersion |= g_versionbitscache.Mask(consensusParams, pos);
+ [[fallthrough]];
case ThresholdState::STARTED:
{
const struct VBDeploymentInfo& vbinfo = VersionBitsDeploymentInfo[pos];
@@ -845,7 +870,7 @@ static RPCHelpMan getblocktemplate()
if (setClientRules.find(vbinfo.name) == setClientRules.end()) {
if (!vbinfo.gbt_force) {
// If the client doesn't support this, don't indicate it in the [default] version
- pblock->nVersion &= ~VersionBitsMask(consensusParams, pos);
+ pblock->nVersion &= ~g_versionbitscache.Mask(consensusParams, pos);
}
}
break;
@@ -883,7 +908,7 @@ static RPCHelpMan getblocktemplate()
result.pushKV("transactions", transactions);
result.pushKV("coinbaseaux", aux);
result.pushKV("coinbasevalue", (int64_t)pblock->vtx[0]->vout[0].nValue);
- result.pushKV("longpollid", ::ChainActive().Tip()->GetBlockHash().GetHex() + ToString(nTransactionsUpdatedLast));
+ result.pushKV("longpollid", active_chain.Tip()->GetBlockHash().GetHex() + ToString(nTransactionsUpdatedLast));
result.pushKV("target", hashTarget.GetHex());
result.pushKV("mintime", (int64_t)pindexPrev->GetMedianTimePast()+1);
result.pushKV("mutable", aMutable);
@@ -940,14 +965,17 @@ static RPCHelpMan submitblock()
{
// We allow 2 arguments for compliance with BIP22. Argument 2 is ignored.
return RPCHelpMan{"submitblock",
- "\nAttempts to submit new block to network.\n"
- "See https://en.bitcoin.it/wiki/BIP_0022 for full specification.\n",
- {
- {"hexdata", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "the hex-encoded block data to submit"},
- {"dummy", RPCArg::Type::STR, /* default */ "ignored", "dummy value, for compatibility with BIP22. This value is ignored."},
- },
- RPCResult{RPCResult::Type::NONE, "", "Returns JSON Null when valid, a string according to BIP22 otherwise"},
- RPCExamples{
+ "\nAttempts to submit new block to network.\n"
+ "See https://en.bitcoin.it/wiki/BIP_0022 for full specification.\n",
+ {
+ {"hexdata", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "the hex-encoded block data to submit"},
+ {"dummy", RPCArg::Type::STR, RPCArg::DefaultHint{"ignored"}, "dummy value, for compatibility with BIP22. This value is ignored."},
+ },
+ {
+ RPCResult{"If the block was accepted", RPCResult::Type::NONE, "", ""},
+ RPCResult{"Otherwise", RPCResult::Type::STR, "", "According to BIP22"},
+ },
+ RPCExamples{
HelpExampleCli("submitblock", "\"mydata\"")
+ HelpExampleRpc("submitblock", "\"mydata\"")
},
@@ -963,10 +991,11 @@ static RPCHelpMan submitblock()
throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "Block does not start with a coinbase");
}
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
uint256 hash = block.GetHash();
{
LOCK(cs_main);
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(hash);
+ const CBlockIndex* pindex = chainman.m_blockman.LookupBlockIndex(hash);
if (pindex) {
if (pindex->IsValid(BLOCK_VALID_SCRIPTS)) {
return "duplicate";
@@ -979,7 +1008,7 @@ static RPCHelpMan submitblock()
{
LOCK(cs_main);
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(block.hashPrevBlock);
+ const CBlockIndex* pindex = chainman.m_blockman.LookupBlockIndex(block.hashPrevBlock);
if (pindex) {
UpdateUncommittedBlockStructures(block, pindex, Params().GetConsensus());
}
@@ -988,7 +1017,7 @@ static RPCHelpMan submitblock()
bool new_block;
auto sc = std::make_shared<submitblock_StateCatcher>(block.GetHash());
RegisterSharedValidationInterface(sc);
- bool accepted = EnsureChainman(request.context).ProcessNewBlock(Params(), blockptr, /* fForceProcessing */ true, /* fNewBlock */ &new_block);
+ bool accepted = chainman.ProcessNewBlock(Params(), blockptr, /*force_processing=*/true, /*new_block=*/&new_block);
UnregisterSharedValidationInterface(sc);
if (!new_block && accepted) {
return "duplicate";
@@ -1021,15 +1050,16 @@ static RPCHelpMan submitheader()
if (!DecodeHexBlockHeader(h, request.params[0].get_str())) {
throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "Block header decode failed");
}
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
{
LOCK(cs_main);
- if (!g_chainman.m_blockman.LookupBlockIndex(h.hashPrevBlock)) {
+ if (!chainman.m_blockman.LookupBlockIndex(h.hashPrevBlock)) {
throw JSONRPCError(RPC_VERIFY_ERROR, "Must submit previous header (" + h.hashPrevBlock.GetHex() + ") first");
}
}
BlockValidationState state;
- EnsureChainman(request.context).ProcessNewBlockHeaders({h}, state, Params());
+ chainman.ProcessNewBlockHeaders({h}, state, Params());
if (state.IsValid()) return NullUniValue;
if (state.IsError()) {
throw JSONRPCError(RPC_VERIFY_ERROR, state.ToString());
@@ -1048,7 +1078,7 @@ static RPCHelpMan estimatesmartfee()
"in BIP 141 (witness data is discounted).\n",
{
{"conf_target", RPCArg::Type::NUM, RPCArg::Optional::NO, "Confirmation target in blocks (1 - 1008)"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "conservative", "The fee estimate mode.\n"
+ {"estimate_mode", RPCArg::Type::STR, RPCArg::Default{"conservative"}, "The fee estimate mode.\n"
" Whether to return a more conservative estimate which also satisfies\n"
" a longer history. A conservative estimate potentially returns a\n"
" higher feerate and is more likely to be sufficient for the desired\n"
@@ -1059,8 +1089,8 @@ static RPCHelpMan estimatesmartfee()
RPCResult{
RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::NUM, "feerate", /* optional */ true, "estimate fee rate in " + CURRENCY_UNIT + "/kB (only present if no errors were encountered)"},
- {RPCResult::Type::ARR, "errors", /* optional */ true, "Errors encountered during processing (if there are any)",
+ {RPCResult::Type::NUM, "feerate", /*optional=*/true, "estimate fee rate in " + CURRENCY_UNIT + "/kvB (only present if no errors were encountered)"},
+ {RPCResult::Type::ARR, "errors", /*optional=*/true, "Errors encountered during processing (if there are any)",
{
{RPCResult::Type::STR, "", "error"},
}},
@@ -1071,14 +1101,17 @@ static RPCHelpMan estimatesmartfee()
"have been observed to make an estimate for any number of blocks."},
}},
RPCExamples{
- HelpExampleCli("estimatesmartfee", "6")
+ HelpExampleCli("estimatesmartfee", "6") +
+ HelpExampleRpc("estimatesmartfee", "6")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
RPCTypeCheck(request.params, {UniValue::VNUM, UniValue::VSTR});
RPCTypeCheckArgument(request.params[0], UniValue::VNUM);
- CBlockPolicyEstimator& fee_estimator = EnsureFeeEstimator(request.context);
+ CBlockPolicyEstimator& fee_estimator = EnsureAnyFeeEstimator(request.context);
+ const NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
unsigned int max_target = fee_estimator.HighestTargetTracked(FeeEstimateHorizon::LONG_HALFLIFE);
unsigned int conf_target = ParseConfirmTarget(request.params[0], max_target);
@@ -1094,8 +1127,11 @@ static RPCHelpMan estimatesmartfee()
UniValue result(UniValue::VOBJ);
UniValue errors(UniValue::VARR);
FeeCalculation feeCalc;
- CFeeRate feeRate = fee_estimator.estimateSmartFee(conf_target, &feeCalc, conservative);
+ CFeeRate feeRate{fee_estimator.estimateSmartFee(conf_target, &feeCalc, conservative)};
if (feeRate != CFeeRate(0)) {
+ CFeeRate min_mempool_feerate{mempool.GetMinFee(gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000)};
+ CFeeRate min_relay_feerate{::minRelayTxFee};
+ feeRate = std::max({feeRate, min_mempool_feerate, min_relay_feerate});
result.pushKV("feerate", ValueFromAmount(feeRate.GetFeePerK()));
} else {
errors.push_back("Insufficient data or no feerate found");
@@ -1119,19 +1155,19 @@ static RPCHelpMan estimaterawfee()
"defined in BIP 141 (witness data is discounted).\n",
{
{"conf_target", RPCArg::Type::NUM, RPCArg::Optional::NO, "Confirmation target in blocks (1 - 1008)"},
- {"threshold", RPCArg::Type::NUM, /* default */ "0.95", "The proportion of transactions in a given feerate range that must have been\n"
+ {"threshold", RPCArg::Type::NUM, RPCArg::Default{0.95}, "The proportion of transactions in a given feerate range that must have been\n"
" confirmed within conf_target in order to consider those feerates as high enough and proceed to check\n"
" lower buckets."},
},
RPCResult{
RPCResult::Type::OBJ, "", "Results are returned for any horizon which tracks blocks up to the confirmation target",
{
- {RPCResult::Type::OBJ, "short", /* optional */ true, "estimate for short time horizon",
+ {RPCResult::Type::OBJ, "short", /*optional=*/true, "estimate for short time horizon",
{
- {RPCResult::Type::NUM, "feerate", /* optional */ true, "estimate fee rate in " + CURRENCY_UNIT + "/kB"},
+ {RPCResult::Type::NUM, "feerate", /*optional=*/true, "estimate fee rate in " + CURRENCY_UNIT + "/kvB"},
{RPCResult::Type::NUM, "decay", "exponential decay (per block) for historical moving average of confirmation data"},
{RPCResult::Type::NUM, "scale", "The resolution of confirmation targets at this time horizon"},
- {RPCResult::Type::OBJ, "pass", /* optional */ true, "information about the lowest range of feerates to succeed in meeting the threshold",
+ {RPCResult::Type::OBJ, "pass", /*optional=*/true, "information about the lowest range of feerates to succeed in meeting the threshold",
{
{RPCResult::Type::NUM, "startrange", "start of feerate range"},
{RPCResult::Type::NUM, "endrange", "end of feerate range"},
@@ -1140,20 +1176,20 @@ static RPCHelpMan estimaterawfee()
{RPCResult::Type::NUM, "inmempool", "current number of txs in mempool in the feerate range unconfirmed for at least target blocks"},
{RPCResult::Type::NUM, "leftmempool", "number of txs over history horizon in the feerate range that left mempool unconfirmed after target"},
}},
- {RPCResult::Type::OBJ, "fail", /* optional */ true, "information about the highest range of feerates to fail to meet the threshold",
+ {RPCResult::Type::OBJ, "fail", /*optional=*/true, "information about the highest range of feerates to fail to meet the threshold",
{
{RPCResult::Type::ELISION, "", ""},
}},
- {RPCResult::Type::ARR, "errors", /* optional */ true, "Errors encountered during processing (if there are any)",
+ {RPCResult::Type::ARR, "errors", /*optional=*/true, "Errors encountered during processing (if there are any)",
{
{RPCResult::Type::STR, "error", ""},
}},
}},
- {RPCResult::Type::OBJ, "medium", /* optional */ true, "estimate for medium time horizon",
+ {RPCResult::Type::OBJ, "medium", /*optional=*/true, "estimate for medium time horizon",
{
{RPCResult::Type::ELISION, "", ""},
}},
- {RPCResult::Type::OBJ, "long", /* optional */ true, "estimate for long time horizon",
+ {RPCResult::Type::OBJ, "long", /*optional=*/true, "estimate for long time horizon",
{
{RPCResult::Type::ELISION, "", ""},
}},
@@ -1166,7 +1202,7 @@ static RPCHelpMan estimaterawfee()
RPCTypeCheck(request.params, {UniValue::VNUM, UniValue::VNUM}, true);
RPCTypeCheckArgument(request.params[0], UniValue::VNUM);
- CBlockPolicyEstimator& fee_estimator = EnsureFeeEstimator(request.context);
+ CBlockPolicyEstimator& fee_estimator = EnsureAnyFeeEstimator(request.context);
unsigned int max_target = fee_estimator.HighestTargetTracked(FeeEstimateHorizon::LONG_HALFLIFE);
unsigned int conf_target = ParseConfirmTarget(request.params[0], max_target);
diff --git a/src/rpc/misc.cpp b/src/rpc/misc.cpp
index 143be1274e..8d574e0359 100644
--- a/src/rpc/misc.cpp
+++ b/src/rpc/misc.cpp
@@ -1,26 +1,32 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <httpserver.h>
#include <index/blockfilterindex.h>
+#include <index/coinstatsindex.h>
#include <index/txindex.h>
#include <interfaces/chain.h>
+#include <interfaces/echo.h>
+#include <interfaces/init.h>
+#include <interfaces/ipc.h>
#include <key_io.h>
#include <node/context.h>
#include <outputtype.h>
#include <rpc/blockchain.h>
#include <rpc/server.h>
+#include <rpc/server_util.h>
#include <rpc/util.h>
#include <scheduler.h>
#include <script/descriptor.h>
#include <util/check.h>
#include <util/message.h> // For MessageSign(), MessageVerify()
-#include <util/ref.h>
#include <util/strencodings.h>
+#include <util/syscall_sandbox.h>
#include <util/system.h>
+#include <optional>
#include <stdint.h>
#include <tuple>
#ifdef HAVE_MALLOC_INFO
@@ -29,34 +35,42 @@
#include <univalue.h>
+using node::NodeContext;
+
static RPCHelpMan validateaddress()
{
- return RPCHelpMan{"validateaddress",
- "\nReturn information about the given bitcoin address.\n",
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to validate"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
+ return RPCHelpMan{
+ "validateaddress",
+ "\nReturn information about the given bitcoin address.\n",
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to validate"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::BOOL, "isvalid", "If the address is valid or not"},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The bitcoin address validated"},
+ {RPCResult::Type::STR_HEX, "scriptPubKey", /*optional=*/true, "The hex-encoded scriptPubKey generated by the address"},
+ {RPCResult::Type::BOOL, "isscript", /*optional=*/true, "If the key is a script"},
+ {RPCResult::Type::BOOL, "iswitness", /*optional=*/true, "If the address is a witness address"},
+ {RPCResult::Type::NUM, "witness_version", /*optional=*/true, "The version number of the witness program"},
+ {RPCResult::Type::STR_HEX, "witness_program", /*optional=*/true, "The hex value of the witness program"},
+ {RPCResult::Type::STR, "error", /*optional=*/true, "Error message, if any"},
+ {RPCResult::Type::ARR, "error_locations", /*optional=*/true, "Indices of likely error locations in address, if known (e.g. Bech32 errors)",
{
- {RPCResult::Type::BOOL, "isvalid", "If the address is valid or not"},
- {RPCResult::Type::STR, "address", "The bitcoin address validated"},
- {RPCResult::Type::STR_HEX, "scriptPubKey", "The hex-encoded scriptPubKey generated by the address"},
- {RPCResult::Type::BOOL, "isscript", "If the key is a script"},
- {RPCResult::Type::BOOL, "iswitness", "If the address is a witness address"},
- {RPCResult::Type::NUM, "witness_version", /* optional */ true, "The version number of the witness program"},
- {RPCResult::Type::STR_HEX, "witness_program", /* optional */ true, "The hex value of the witness program"},
- {RPCResult::Type::STR, "error", /* optional */ true, "Error message, if any"},
- }
- },
- RPCExamples{
- HelpExampleCli("validateaddress", "\"" + EXAMPLE_ADDRESS[0] + "\"") +
- HelpExampleRpc("validateaddress", "\"" + EXAMPLE_ADDRESS[0] + "\"")
- },
+ {RPCResult::Type::NUM, "index", "index of a potential error"},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("validateaddress", "\"" + EXAMPLE_ADDRESS[0] + "\"") +
+ HelpExampleRpc("validateaddress", "\"" + EXAMPLE_ADDRESS[0] + "\"")
+ },
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
std::string error_msg;
- CTxDestination dest = DecodeDestination(request.params[0].get_str(), error_msg);
+ std::vector<int> error_locations;
+ CTxDestination dest = DecodeDestination(request.params[0].get_str(), error_msg, &error_locations);
const bool isValid = IsValidDestination(dest);
CHECK_NONFATAL(isValid == error_msg.empty());
@@ -72,6 +86,9 @@ static RPCHelpMan validateaddress()
UniValue detail = DescribeAddress(dest);
ret.pushKVs(detail);
} else {
+ UniValue error_indices(UniValue::VARR);
+ for (int i : error_locations) error_indices.push_back(i);
+ ret.pushKV("error_locations", error_indices);
ret.pushKV("error", error_msg);
}
@@ -91,7 +108,7 @@ static RPCHelpMan createmultisig()
{
{"key", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, "The hex-encoded public key"},
}},
- {"address_type", RPCArg::Type::STR, /* default */ "legacy", "The address type to use. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
+ {"address_type", RPCArg::Type::STR, RPCArg::Default{"legacy"}, "The address type to use. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -99,13 +116,17 @@ static RPCHelpMan createmultisig()
{RPCResult::Type::STR, "address", "The value of the new multisig address."},
{RPCResult::Type::STR_HEX, "redeemScript", "The string value of the hex-encoded redemption script."},
{RPCResult::Type::STR, "descriptor", "The descriptor for this multisig"},
+ {RPCResult::Type::ARR, "warnings", /* optional */ true, "Any warnings resulting from the creation of this multisig",
+ {
+ {RPCResult::Type::STR, "", ""},
+ }},
}
},
RPCExamples{
"\nCreate a multisig address from 2 public keys\n"
+ HelpExampleCli("createmultisig", "2 \"[\\\"03789ed0bb717d88f7d321a368d905e7430207ebbd82bd342cf11ae157a7ace5fd\\\",\\\"03dbc6764b8884a92e871274b87583e6d5c2a58819473e17e107ef3f6aa5a61626\\\"]\"") +
"\nAs a JSON-RPC call\n"
- + HelpExampleRpc("createmultisig", "2, \"[\\\"03789ed0bb717d88f7d321a368d905e7430207ebbd82bd342cf11ae157a7ace5fd\\\",\\\"03dbc6764b8884a92e871274b87583e6d5c2a58819473e17e107ef3f6aa5a61626\\\"]\"")
+ + HelpExampleRpc("createmultisig", "2, [\"03789ed0bb717d88f7d321a368d905e7430207ebbd82bd342cf11ae157a7ace5fd\",\"03dbc6764b8884a92e871274b87583e6d5c2a58819473e17e107ef3f6aa5a61626\"]")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
@@ -125,9 +146,13 @@ static RPCHelpMan createmultisig()
// Get the output type
OutputType output_type = OutputType::LEGACY;
if (!request.params[2].isNull()) {
- if (!ParseOutputType(request.params[2].get_str(), output_type)) {
+ std::optional<OutputType> parsed = ParseOutputType(request.params[2].get_str());
+ if (!parsed) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown address type '%s'", request.params[2].get_str()));
+ } else if (parsed.value() == OutputType::BECH32M) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "createmultisig cannot create bech32m multisig addresses");
}
+ output_type = parsed.value();
}
// Construct using pay-to-script-hash:
@@ -143,6 +168,13 @@ static RPCHelpMan createmultisig()
result.pushKV("redeemScript", HexStr(inner));
result.pushKV("descriptor", descriptor->ToString());
+ UniValue warnings(UniValue::VARR);
+ if (!request.params[2].isNull() && OutputTypeFromDestination(dest) != output_type) {
+ // Only warns if the user has explicitly chosen an address type we cannot generate
+ warnings.push_back("Unable to make chosen address type, please ensure no uncompressed public keys are present.");
+ }
+ if (warnings.size()) result.pushKV("warnings", warnings);
+
return result;
},
};
@@ -150,6 +182,8 @@ static RPCHelpMan createmultisig()
static RPCHelpMan getdescriptorinfo()
{
+ const std::string EXAMPLE_DESCRIPTOR = "wpkh([d34db33f/84h/0h/0h]0279be667ef9dcbbac55a06295Ce870b07029Bfcdb2dce28d959f2815b16f81798)";
+
return RPCHelpMan{"getdescriptorinfo",
{"\nAnalyses a descriptor.\n"},
{
@@ -167,7 +201,8 @@ static RPCHelpMan getdescriptorinfo()
},
RPCExamples{
"Analyse a descriptor\n" +
- HelpExampleCli("getdescriptorinfo", "\"wpkh([d34db33f/84h/0h/0h]0279be667ef9dcbbac55a06295Ce870b07029Bfcdb2dce28d959f2815b16f81798)\"")
+ HelpExampleCli("getdescriptorinfo", "\"" + EXAMPLE_DESCRIPTOR + "\"") +
+ HelpExampleRpc("getdescriptorinfo", "\"" + EXAMPLE_DESCRIPTOR + "\"")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
@@ -193,6 +228,8 @@ static RPCHelpMan getdescriptorinfo()
static RPCHelpMan deriveaddresses()
{
+ const std::string EXAMPLE_DESCRIPTOR = "wpkh([d34db33f/84h/0h/0h]xpub6DJ2dNUysrn5Vt36jH2KLBT2i1auw1tTSSomg8PhqNiUtx8QX2SvC9nrHu81fT41fvDUnhMjEzQgXnQjKEu3oaqMSzhSrHMxyyoEAmUHQbY/0/*)#cjjspncu";
+
return RPCHelpMan{"deriveaddresses",
{"\nDerives one or more addresses corresponding to an output descriptor.\n"
"Examples of output descriptors are:\n"
@@ -215,7 +252,8 @@ static RPCHelpMan deriveaddresses()
},
RPCExamples{
"First three native segwit receive addresses\n" +
- HelpExampleCli("deriveaddresses", "\"wpkh([d34db33f/84h/0h/0h]xpub6DJ2dNUysrn5Vt36jH2KLBT2i1auw1tTSSomg8PhqNiUtx8QX2SvC9nrHu81fT41fvDUnhMjEzQgXnQjKEu3oaqMSzhSrHMxyyoEAmUHQbY/0/*)#cjjspncu\" \"[0,2]\"")
+ HelpExampleCli("deriveaddresses", "\"" + EXAMPLE_DESCRIPTOR + "\" \"[0,2]\"") +
+ HelpExampleRpc("deriveaddresses", "\"" + EXAMPLE_DESCRIPTOR + "\", \"[0,2]\"")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
@@ -250,13 +288,13 @@ static RPCHelpMan deriveaddresses()
FlatSigningProvider provider;
std::vector<CScript> scripts;
if (!desc->Expand(i, key_provider, scripts, provider)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Cannot derive script without private keys"));
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Cannot derive script without private keys");
}
for (const CScript &script : scripts) {
CTxDestination dest;
if (!ExtractDestination(script, dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Descriptor does not have a corresponding address"));
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Descriptor does not have a corresponding address");
}
addresses.push_back(EncodeDestination(dest));
@@ -276,7 +314,7 @@ static RPCHelpMan deriveaddresses()
static RPCHelpMan verifymessage()
{
return RPCHelpMan{"verifymessage",
- "\nVerify a signed message\n",
+ "Verify a signed message.",
{
{"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to use for the signature."},
{"signature", RPCArg::Type::STR, RPCArg::Optional::NO, "The signature provided by the signer in base 64 encoding (see signmessage)."},
@@ -391,8 +429,9 @@ static RPCHelpMan setmocktime()
throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Mocktime can not be negative: %s.", time));
}
SetMockTime(time);
- if (request.context.Has<NodeContext>()) {
- for (const auto& chain_client : request.context.Get<NodeContext>().chain_clients) {
+ auto node_context = util::AnyPtr<NodeContext>(request.context);
+ if (node_context) {
+ for (const auto& chain_client : node_context->chain_clients) {
chain_client->setMockTime(time);
}
}
@@ -402,6 +441,27 @@ static RPCHelpMan setmocktime()
};
}
+#if defined(USE_SYSCALL_SANDBOX)
+static RPCHelpMan invokedisallowedsyscall()
+{
+ return RPCHelpMan{
+ "invokedisallowedsyscall",
+ "\nInvoke a disallowed syscall to trigger a syscall sandbox violation. Used for testing purposes.\n",
+ {},
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("invokedisallowedsyscall", "") + HelpExampleRpc("invokedisallowedsyscall", "")},
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue {
+ if (!Params().IsTestChain()) {
+ throw std::runtime_error("invokedisallowedsyscall is used for testing only.");
+ }
+ TestDisallowedSandboxCall();
+ return NullUniValue;
+ },
+ };
+}
+#endif // USE_SYSCALL_SANDBOX
+
static RPCHelpMan mockscheduler()
{
return RPCHelpMan{"mockscheduler",
@@ -420,15 +480,15 @@ static RPCHelpMan mockscheduler()
// check params are valid values
RPCTypeCheck(request.params, {UniValue::VNUM});
int64_t delta_seconds = request.params[0].get_int64();
- if ((delta_seconds <= 0) || (delta_seconds > 3600)) {
+ if (delta_seconds <= 0 || delta_seconds > 3600) {
throw std::runtime_error("delta_time must be between 1 and 3600 seconds (1 hr)");
}
+ auto node_context = util::AnyPtr<NodeContext>(request.context);
// protect against null pointer dereference
- CHECK_NONFATAL(request.context.Has<NodeContext>());
- NodeContext& node = request.context.Get<NodeContext>();
- CHECK_NONFATAL(node.scheduler);
- node.scheduler->MockForward(std::chrono::seconds(delta_seconds));
+ CHECK_NONFATAL(node_context);
+ CHECK_NONFATAL(node_context->scheduler);
+ node_context->scheduler->MockForward(std::chrono::seconds(delta_seconds));
return NullUniValue;
},
@@ -475,7 +535,7 @@ static RPCHelpMan getmemoryinfo()
return RPCHelpMan{"getmemoryinfo",
"Returns an object containing information about memory usage.\n",
{
- {"mode", RPCArg::Type::STR, /* default */ "\"stats\"", "determines what kind of information is returned.\n"
+ {"mode", RPCArg::Type::STR, RPCArg::Default{"stats"}, "determines what kind of information is returned.\n"
" - \"stats\" returns general statistics about memory usage in the daemon.\n"
" - \"mallocinfo\" returns an XML string describing low-level heap state (only available if compiled with glibc 2.10+)."},
},
@@ -513,7 +573,7 @@ static RPCHelpMan getmemoryinfo()
#ifdef HAVE_MALLOC_INFO
return RPCMallocInfo();
#else
- throw JSONRPCError(RPC_INVALID_PARAMETER, "mallocinfo is only available when compiled with glibc 2.10+");
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "mallocinfo mode not available");
#endif
} else {
throw JSONRPCError(RPC_INVALID_PARAMETER, "unknown mode " + mode);
@@ -628,7 +688,7 @@ static RPCHelpMan echo(const std::string& name)
{"arg8", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, ""},
{"arg9", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, ""},
},
- RPCResult{RPCResult::Type::NONE, "", "Returns whatever was passed in"},
+ RPCResult{RPCResult::Type::ANY, "", "Returns whatever was passed in"},
RPCExamples{""},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
@@ -644,6 +704,44 @@ static RPCHelpMan echo(const std::string& name)
static RPCHelpMan echo() { return echo("echo"); }
static RPCHelpMan echojson() { return echo("echojson"); }
+static RPCHelpMan echoipc()
+{
+ return RPCHelpMan{
+ "echoipc",
+ "\nEcho back the input argument, passing it through a spawned process in a multiprocess build.\n"
+ "This command is for testing.\n",
+ {{"arg", RPCArg::Type::STR, RPCArg::Optional::NO, "The string to echo",}},
+ RPCResult{RPCResult::Type::STR, "echo", "The echoed string."},
+ RPCExamples{HelpExampleCli("echo", "\"Hello world\"") +
+ HelpExampleRpc("echo", "\"Hello world\"")},
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue {
+ interfaces::Init& local_init = *EnsureAnyNodeContext(request.context).init;
+ std::unique_ptr<interfaces::Echo> echo;
+ if (interfaces::Ipc* ipc = local_init.ipc()) {
+ // Spawn a new bitcoin-node process and call makeEcho to get a
+ // client pointer to a interfaces::Echo instance running in
+ // that process. This is just for testing. A slightly more
+ // realistic test spawning a different executable instead of
+ // the same executable would add a new bitcoin-echo executable,
+ // and spawn bitcoin-echo below instead of bitcoin-node. But
+ // using bitcoin-node avoids the need to build and install a
+ // new executable just for this one test.
+ auto init = ipc->spawnProcess("bitcoin-node");
+ echo = init->makeEcho();
+ ipc->addCleanup(*echo, [init = init.release()] { delete init; });
+ } else {
+ // IPC support is not available because this is a bitcoind
+ // process not a bitcoind-node process, so just create a local
+ // interfaces::Echo object and return it so the `echoipc` RPC
+ // method will work, and the python test calling `echoipc`
+ // can expect the same result.
+ echo = local_init.makeEcho();
+ }
+ return echo->echo(request.params[0].get_str());
+ },
+ };
+}
+
static UniValue SummaryToJSON(const IndexSummary&& summary, std::string index_name)
{
UniValue ret_summary(UniValue::VOBJ);
@@ -664,7 +762,7 @@ static RPCHelpMan getindexinfo()
{"index_name", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "Filter results for an index with a specific name."},
},
RPCResult{
- RPCResult::Type::OBJ, "", "", {
+ RPCResult::Type::OBJ_DYN, "", "", {
{
RPCResult::Type::OBJ, "name", "The name of the index",
{
@@ -689,6 +787,10 @@ static RPCHelpMan getindexinfo()
result.pushKVs(SummaryToJSON(g_txindex->GetSummary(), index_name));
}
+ if (g_coin_stats_index) {
+ result.pushKVs(SummaryToJSON(g_coin_stats_index->GetSummary(), index_name));
+ }
+
ForEachBlockFilterIndex([&result, &index_name](const BlockFilterIndex& index) {
result.pushKVs(SummaryToJSON(index.GetSummary(), index_name));
});
@@ -719,6 +821,10 @@ static const CRPCCommand commands[] =
{ "hidden", &mockscheduler, },
{ "hidden", &echo, },
{ "hidden", &echojson, },
+ { "hidden", &echoipc, },
+#if defined(USE_SYSCALL_SANDBOX)
+ { "hidden", &invokedisallowedsyscall, },
+#endif // USE_SYSCALL_SANDBOX
};
// clang-format on
for (const auto& c : commands) {
diff --git a/src/rpc/net.cpp b/src/rpc/net.cpp
index 6d33654c6f..3d7c00edfc 100644
--- a/src/rpc/net.cpp
+++ b/src/rpc/net.cpp
@@ -1,14 +1,14 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <rpc/server.h>
+#include <addrman.h>
#include <banman.h>
#include <chainparams.h>
#include <clientversion.h>
#include <core_io.h>
-#include <net.h>
#include <net_permissions.h>
#include <net_processing.h>
#include <net_types.h> // For banmap_t
@@ -17,19 +17,23 @@
#include <policy/settings.h>
#include <rpc/blockchain.h>
#include <rpc/protocol.h>
+#include <rpc/server_util.h>
#include <rpc/util.h>
#include <sync.h>
#include <timedata.h>
#include <util/strencodings.h>
#include <util/string.h>
-#include <util/system.h>
#include <util/translation.h>
#include <validation.h>
#include <version.h>
#include <warnings.h>
+#include <optional>
+
#include <univalue.h>
+using node::NodeContext;
+
const std::vector<std::string> CONNECTION_TYPE_DOC{
"outbound-full-relay (default automatic connections)",
"block-relay-only (does not relay transactions or addresses)",
@@ -53,11 +57,10 @@ static RPCHelpMan getconnectioncount()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if(!node.connman)
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CConnman& connman = EnsureConnman(node);
- return (int)node.connman->GetNodeCount(CConnman::CONNECTIONS_ALL);
+ return (int)connman.GetNodeCount(ConnectionDirection::Both);
},
};
}
@@ -76,13 +79,11 @@ static RPCHelpMan ping()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if (!node.peerman) {
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
- }
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ PeerManager& peerman = EnsurePeerman(node);
// Request that each node send a ping during next message processing pass
- node.peerman->SendPings();
+ peerman.SendPings();
return NullUniValue;
},
};
@@ -90,97 +91,100 @@ static RPCHelpMan ping()
static RPCHelpMan getpeerinfo()
{
- return RPCHelpMan{"getpeerinfo",
- "\nReturns data about each connected network node as a json array of objects.\n",
- {},
- RPCResult{
- RPCResult::Type::ARR, "", "",
+ return RPCHelpMan{
+ "getpeerinfo",
+ "\nReturns data about each connected network node as a json array of objects.\n",
+ {},
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
{
- {RPCResult::Type::OBJ, "", "",
- {
- {
- {RPCResult::Type::NUM, "id", "Peer index"},
- {RPCResult::Type::STR, "addr", "(host:port) The IP address and port of the peer"},
- {RPCResult::Type::STR, "addrbind", "(ip:port) Bind address of the connection to the peer"},
- {RPCResult::Type::STR, "addrlocal", "(ip:port) Local address as reported by the peer"},
- {RPCResult::Type::STR, "network", "Network (" + Join(GetNetworkNames(/* append_unroutable */ true), ", ") + ")"},
- {RPCResult::Type::NUM, "mapped_as", "The AS in the BGP route to the peer used for diversifying\n"
- "peer selection (only available if the asmap config flag is set)"},
- {RPCResult::Type::STR_HEX, "services", "The services offered"},
- {RPCResult::Type::ARR, "servicesnames", "the services offered, in human-readable form",
- {
- {RPCResult::Type::STR, "SERVICE_NAME", "the service name if it is recognised"}
- }},
- {RPCResult::Type::BOOL, "relaytxes", "Whether peer has asked us to relay transactions to it"},
- {RPCResult::Type::NUM_TIME, "lastsend", "The " + UNIX_EPOCH_TIME + " of the last send"},
- {RPCResult::Type::NUM_TIME, "lastrecv", "The " + UNIX_EPOCH_TIME + " of the last receive"},
- {RPCResult::Type::NUM_TIME, "last_transaction", "The " + UNIX_EPOCH_TIME + " of the last valid transaction received from this peer"},
- {RPCResult::Type::NUM_TIME, "last_block", "The " + UNIX_EPOCH_TIME + " of the last block received from this peer"},
- {RPCResult::Type::NUM, "bytessent", "The total bytes sent"},
- {RPCResult::Type::NUM, "bytesrecv", "The total bytes received"},
- {RPCResult::Type::NUM_TIME, "conntime", "The " + UNIX_EPOCH_TIME + " of the connection"},
- {RPCResult::Type::NUM, "timeoffset", "The time offset in seconds"},
- {RPCResult::Type::NUM, "pingtime", "ping time (if available)"},
- {RPCResult::Type::NUM, "minping", "minimum observed ping time (if any at all)"},
- {RPCResult::Type::NUM, "pingwait", "ping wait (if non-zero)"},
- {RPCResult::Type::NUM, "version", "The peer version, such as 70001"},
- {RPCResult::Type::STR, "subver", "The string version"},
- {RPCResult::Type::BOOL, "inbound", "Inbound (true) or Outbound (false)"},
- {RPCResult::Type::BOOL, "bip152_hb_to", "Whether we selected peer as (compact blocks) high-bandwidth peer"},
- {RPCResult::Type::BOOL, "bip152_hb_from", "Whether peer selected us as (compact blocks) high-bandwidth peer"},
- {RPCResult::Type::NUM, "startingheight", "The starting height (block) of the peer"},
- {RPCResult::Type::NUM, "synced_headers", "The last header we have in common with this peer"},
- {RPCResult::Type::NUM, "synced_blocks", "The last block we have in common with this peer"},
- {RPCResult::Type::ARR, "inflight", "",
- {
- {RPCResult::Type::NUM, "n", "The heights of blocks we're currently asking from this peer"},
- }},
- {RPCResult::Type::ARR, "permissions", "Any special permissions that have been granted to this peer",
- {
- {RPCResult::Type::STR, "permission_type", Join(NET_PERMISSIONS_DOC, ",\n") + ".\n"},
- }},
- {RPCResult::Type::NUM, "minfeefilter", "The minimum fee rate for transactions this peer accepts"},
- {RPCResult::Type::OBJ_DYN, "bytessent_per_msg", "",
- {
- {RPCResult::Type::NUM, "msg", "The total bytes sent aggregated by message type\n"
- "When a message type is not listed in this json object, the bytes sent are 0.\n"
- "Only known message types can appear as keys in the object."}
- }},
- {RPCResult::Type::OBJ, "bytesrecv_per_msg", "",
- {
- {RPCResult::Type::NUM, "msg", "The total bytes received aggregated by message type\n"
- "When a message type is not listed in this json object, the bytes received are 0.\n"
- "Only known message types can appear as keys in the object and all bytes received\n"
- "of unknown message types are listed under '"+NET_MESSAGE_COMMAND_OTHER+"'."}
- }},
- {RPCResult::Type::STR, "connection_type", "Type of connection: \n" + Join(CONNECTION_TYPE_DOC, ",\n") + ".\n"
- "Please note this output is unlikely to be stable in upcoming releases as we iterate to\n"
- "best capture connection behaviors."},
- }},
+ {RPCResult::Type::NUM, "id", "Peer index"},
+ {RPCResult::Type::STR, "addr", "(host:port) The IP address and port of the peer"},
+ {RPCResult::Type::STR, "addrbind", /*optional=*/true, "(ip:port) Bind address of the connection to the peer"},
+ {RPCResult::Type::STR, "addrlocal", /*optional=*/true, "(ip:port) Local address as reported by the peer"},
+ {RPCResult::Type::STR, "network", "Network (" + Join(GetNetworkNames(/* append_unroutable */ true), ", ") + ")"},
+ {RPCResult::Type::NUM, "mapped_as", /*optional=*/true, "The AS in the BGP route to the peer used for diversifying\n"
+ "peer selection (only available if the asmap config flag is set)"},
+ {RPCResult::Type::STR_HEX, "services", "The services offered"},
+ {RPCResult::Type::ARR, "servicesnames", "the services offered, in human-readable form",
+ {
+ {RPCResult::Type::STR, "SERVICE_NAME", "the service name if it is recognised"}
}},
- },
- RPCExamples{
- HelpExampleCli("getpeerinfo", "")
+ {RPCResult::Type::BOOL, "relaytxes", "Whether peer has asked us to relay transactions to it"},
+ {RPCResult::Type::NUM_TIME, "lastsend", "The " + UNIX_EPOCH_TIME + " of the last send"},
+ {RPCResult::Type::NUM_TIME, "lastrecv", "The " + UNIX_EPOCH_TIME + " of the last receive"},
+ {RPCResult::Type::NUM_TIME, "last_transaction", "The " + UNIX_EPOCH_TIME + " of the last valid transaction received from this peer"},
+ {RPCResult::Type::NUM_TIME, "last_block", "The " + UNIX_EPOCH_TIME + " of the last block received from this peer"},
+ {RPCResult::Type::NUM, "bytessent", "The total bytes sent"},
+ {RPCResult::Type::NUM, "bytesrecv", "The total bytes received"},
+ {RPCResult::Type::NUM_TIME, "conntime", "The " + UNIX_EPOCH_TIME + " of the connection"},
+ {RPCResult::Type::NUM, "timeoffset", "The time offset in seconds"},
+ {RPCResult::Type::NUM, "pingtime", /*optional=*/true, "ping time (if available)"},
+ {RPCResult::Type::NUM, "minping", /*optional=*/true, "minimum observed ping time (if any at all)"},
+ {RPCResult::Type::NUM, "pingwait", /*optional=*/true, "ping wait (if non-zero)"},
+ {RPCResult::Type::NUM, "version", "The peer version, such as 70001"},
+ {RPCResult::Type::STR, "subver", "The string version"},
+ {RPCResult::Type::BOOL, "inbound", "Inbound (true) or Outbound (false)"},
+ {RPCResult::Type::BOOL, "bip152_hb_to", "Whether we selected peer as (compact blocks) high-bandwidth peer"},
+ {RPCResult::Type::BOOL, "bip152_hb_from", "Whether peer selected us as (compact blocks) high-bandwidth peer"},
+ {RPCResult::Type::NUM, "startingheight", /*optional=*/true, "The starting height (block) of the peer"},
+ {RPCResult::Type::NUM, "synced_headers", /*optional=*/true, "The last header we have in common with this peer"},
+ {RPCResult::Type::NUM, "synced_blocks", /*optional=*/true, "The last block we have in common with this peer"},
+ {RPCResult::Type::ARR, "inflight", /*optional=*/true, "",
+ {
+ {RPCResult::Type::NUM, "n", "The heights of blocks we're currently asking from this peer"},
+ }},
+ {RPCResult::Type::BOOL, "addr_relay_enabled", /*optional=*/true, "Whether we participate in address relay with this peer"},
+ {RPCResult::Type::NUM, "addr_processed", /*optional=*/true, "The total number of addresses processed, excluding those dropped due to rate limiting"},
+ {RPCResult::Type::NUM, "addr_rate_limited", /*optional=*/true, "The total number of addresses dropped due to rate limiting"},
+ {RPCResult::Type::ARR, "permissions", "Any special permissions that have been granted to this peer",
+ {
+ {RPCResult::Type::STR, "permission_type", Join(NET_PERMISSIONS_DOC, ",\n") + ".\n"},
+ }},
+ {RPCResult::Type::NUM, "minfeefilter", "The minimum fee rate for transactions this peer accepts"},
+ {RPCResult::Type::OBJ_DYN, "bytessent_per_msg", "",
+ {
+ {RPCResult::Type::NUM, "msg", "The total bytes sent aggregated by message type\n"
+ "When a message type is not listed in this json object, the bytes sent are 0.\n"
+ "Only known message types can appear as keys in the object."}
+ }},
+ {RPCResult::Type::OBJ_DYN, "bytesrecv_per_msg", "",
+ {
+ {RPCResult::Type::NUM, "msg", "The total bytes received aggregated by message type\n"
+ "When a message type is not listed in this json object, the bytes received are 0.\n"
+ "Only known message types can appear as keys in the object and all bytes received\n"
+ "of unknown message types are listed under '"+NET_MESSAGE_COMMAND_OTHER+"'."}
+ }},
+ {RPCResult::Type::STR, "connection_type", "Type of connection: \n" + Join(CONNECTION_TYPE_DOC, ",\n") + ".\n"
+ "Please note this output is unlikely to be stable in upcoming releases as we iterate to\n"
+ "best capture connection behaviors."},
+ }},
+ }},
+ },
+ RPCExamples{
+ HelpExampleCli("getpeerinfo", "")
+ HelpExampleRpc("getpeerinfo", "")
- },
+ },
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if(!node.connman || !node.peerman) {
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
- }
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CConnman& connman = EnsureConnman(node);
+ const PeerManager& peerman = EnsurePeerman(node);
std::vector<CNodeStats> vstats;
- node.connman->GetNodeStats(vstats);
+ connman.GetNodeStats(vstats);
UniValue ret(UniValue::VARR);
for (const CNodeStats& stats : vstats) {
UniValue obj(UniValue::VOBJ);
CNodeStateStats statestats;
- bool fStateStats = node.peerman->GetNodeStateStats(stats.nodeid, statestats);
+ bool fStateStats = peerman.GetNodeStateStats(stats.nodeid, statestats);
obj.pushKV("id", stats.nodeid);
- obj.pushKV("addr", stats.addrName);
+ obj.pushKV("addr", stats.m_addr_name);
if (stats.addrBind.IsValid()) {
obj.pushKV("addrbind", stats.addrBind.ToString());
}
@@ -194,13 +198,13 @@ static RPCHelpMan getpeerinfo()
obj.pushKV("services", strprintf("%016x", stats.nServices));
obj.pushKV("servicesnames", GetServicesNames(stats.nServices));
obj.pushKV("relaytxes", stats.fRelayTxes);
- obj.pushKV("lastsend", stats.nLastSend);
- obj.pushKV("lastrecv", stats.nLastRecv);
- obj.pushKV("last_transaction", stats.nLastTXTime);
- obj.pushKV("last_block", stats.nLastBlockTime);
+ obj.pushKV("lastsend", count_seconds(stats.m_last_send));
+ obj.pushKV("lastrecv", count_seconds(stats.m_last_recv));
+ obj.pushKV("last_transaction", count_seconds(stats.m_last_tx_time));
+ obj.pushKV("last_block", count_seconds(stats.m_last_block_time));
obj.pushKV("bytessent", stats.nSendBytes);
obj.pushKV("bytesrecv", stats.nRecvBytes);
- obj.pushKV("conntime", stats.nTimeConnected);
+ obj.pushKV("conntime", count_seconds(stats.m_connected));
obj.pushKV("timeoffset", stats.nTimeOffset);
if (stats.m_last_ping_time > 0us) {
obj.pushKV("pingtime", CountSecondsDouble(stats.m_last_ping_time));
@@ -228,6 +232,9 @@ static RPCHelpMan getpeerinfo()
heights.push_back(height);
}
obj.pushKV("inflight", heights);
+ obj.pushKV("addr_relay_enabled", statestats.m_addr_relay_enabled);
+ obj.pushKV("addr_processed", statestats.m_addr_processed);
+ obj.pushKV("addr_rate_limited", statestats.m_addr_rate_limited);
}
UniValue permissions(UniValue::VARR);
for (const auto& permission : NetPermissions::ToStrings(stats.m_permissionFlags)) {
@@ -265,7 +272,9 @@ static RPCHelpMan addnode()
"\nAttempts to add or remove a node from the addnode list.\n"
"Or try a connection to a node once.\n"
"Nodes added using addnode (or -connect) are protected from DoS disconnection and are not required to be\n"
- "full nodes/support SegWit as other outbound peers are (though such peers will not be synced from).\n",
+ "full nodes/support SegWit as other outbound peers are (though such peers will not be synced from).\n" +
+ strprintf("Addnode connections are limited to %u at a time", MAX_ADDNODE_CONNECTIONS) +
+ " and are counted separately from the -maxconnections limit.\n",
{
{"node", RPCArg::Type::STR, RPCArg::Optional::NO, "The node (see getpeerinfo for nodes)"},
{"command", RPCArg::Type::STR, RPCArg::Optional::NO, "'add' to add a node to the list, 'remove' to remove a node from the list, 'onetry' to try a connection to the node once"},
@@ -285,28 +294,29 @@ static RPCHelpMan addnode()
self.ToString());
}
- NodeContext& node = EnsureNodeContext(request.context);
- if(!node.connman)
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ CConnman& connman = EnsureConnman(node);
std::string strNode = request.params[0].get_str();
if (strCommand == "onetry")
{
CAddress addr;
- node.connman->OpenNetworkConnection(addr, false, nullptr, strNode.c_str(), ConnectionType::MANUAL);
+ connman.OpenNetworkConnection(addr, false, nullptr, strNode.c_str(), ConnectionType::MANUAL);
return NullUniValue;
}
if (strCommand == "add")
{
- if(!node.connman->AddNode(strNode))
+ if (!connman.AddNode(strNode)) {
throw JSONRPCError(RPC_CLIENT_NODE_ALREADY_ADDED, "Error: Node already added");
+ }
}
else if(strCommand == "remove")
{
- if(!node.connman->RemoveAddedNode(strNode))
+ if (!connman.RemoveAddedNode(strNode)) {
throw JSONRPCError(RPC_CLIENT_NODE_NOT_ADDED, "Error: Node could not be removed. It has not been added previously.");
+ }
}
return NullUniValue;
@@ -320,7 +330,7 @@ static RPCHelpMan addconnection()
"\nOpen an outbound connection to a specified node. This RPC is for testing only.\n",
{
{"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The IP address and port to attempt connecting to."},
- {"connection_type", RPCArg::Type::STR, RPCArg::Optional::NO, "Type of connection to open, either \"outbound-full-relay\" or \"block-relay-only\"."},
+ {"connection_type", RPCArg::Type::STR, RPCArg::Optional::NO, "Type of connection to open (\"outbound-full-relay\", \"block-relay-only\", \"addr-fetch\" or \"feeler\")."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -346,16 +356,18 @@ static RPCHelpMan addconnection()
conn_type = ConnectionType::OUTBOUND_FULL_RELAY;
} else if (conn_type_in == "block-relay-only") {
conn_type = ConnectionType::BLOCK_RELAY;
+ } else if (conn_type_in == "addr-fetch") {
+ conn_type = ConnectionType::ADDR_FETCH;
+ } else if (conn_type_in == "feeler") {
+ conn_type = ConnectionType::FEELER;
} else {
throw JSONRPCError(RPC_INVALID_PARAMETER, self.ToString());
}
- NodeContext& node = EnsureNodeContext(request.context);
- if (!node.connman) {
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled.");
- }
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ CConnman& connman = EnsureConnman(node);
- const bool success = node.connman->AddConnection(address, conn_type);
+ const bool success = connman.AddConnection(address, conn_type);
if (!success) {
throw JSONRPCError(RPC_CLIENT_NODE_CAPACITY_REACHED, "Error: Already at capacity for specified connection type.");
}
@@ -376,8 +388,8 @@ static RPCHelpMan disconnectnode()
"\nStrictly one out of 'address' and 'nodeid' can be provided to identify the node.\n"
"\nTo disconnect by nodeid, either set 'address' to the empty string, or call using the named 'nodeid' argument only.\n",
{
- {"address", RPCArg::Type::STR, /* default */ "fallback to nodeid", "The IP address/port of the node"},
- {"nodeid", RPCArg::Type::NUM, /* default */ "fallback to address", "The node ID (see getpeerinfo for node IDs)"},
+ {"address", RPCArg::Type::STR, RPCArg::DefaultHint{"fallback to nodeid"}, "The IP address/port of the node"},
+ {"nodeid", RPCArg::Type::NUM, RPCArg::DefaultHint{"fallback to address"}, "The node ID (see getpeerinfo for node IDs)"},
},
RPCResult{RPCResult::Type::NONE, "", ""},
RPCExamples{
@@ -388,9 +400,8 @@ static RPCHelpMan disconnectnode()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if(!node.connman)
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ CConnman& connman = EnsureConnman(node);
bool success;
const UniValue &address_arg = request.params[0];
@@ -398,11 +409,11 @@ static RPCHelpMan disconnectnode()
if (!address_arg.isNull() && id_arg.isNull()) {
/* handle disconnect-by-address */
- success = node.connman->DisconnectNode(address_arg.get_str());
+ success = connman.DisconnectNode(address_arg.get_str());
} else if (!id_arg.isNull() && (address_arg.isNull() || (address_arg.isStr() && address_arg.get_str().empty()))) {
/* handle disconnect-by-id */
NodeId nodeid = (NodeId) id_arg.get_int64();
- success = node.connman->DisconnectNode(nodeid);
+ success = connman.DisconnectNode(nodeid);
} else {
throw JSONRPCError(RPC_INVALID_PARAMS, "Only one of address and nodeid should be provided.");
}
@@ -422,7 +433,7 @@ static RPCHelpMan getaddednodeinfo()
"\nReturns information about the given added node, or all added nodes\n"
"(note that onetry addnodes are not listed here)\n",
{
- {"node", RPCArg::Type::STR, /* default */ "all nodes", "If provided, return information about this specific node, otherwise all nodes are returned."},
+ {"node", RPCArg::Type::STR, RPCArg::DefaultHint{"all nodes"}, "If provided, return information about this specific node, otherwise all nodes are returned."},
},
RPCResult{
RPCResult::Type::ARR, "", "",
@@ -448,11 +459,10 @@ static RPCHelpMan getaddednodeinfo()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if(!node.connman)
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CConnman& connman = EnsureConnman(node);
- std::vector<AddedNodeInfo> vInfo = node.connman->GetAddedNodeInfo();
+ std::vector<AddedNodeInfo> vInfo = connman.GetAddedNodeInfo();
if (!request.params[0].isNull()) {
bool found = false;
@@ -519,22 +529,21 @@ static RPCHelpMan getnettotals()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if(!node.connman)
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CConnman& connman = EnsureConnman(node);
UniValue obj(UniValue::VOBJ);
- obj.pushKV("totalbytesrecv", node.connman->GetTotalBytesRecv());
- obj.pushKV("totalbytessent", node.connman->GetTotalBytesSent());
+ obj.pushKV("totalbytesrecv", connman.GetTotalBytesRecv());
+ obj.pushKV("totalbytessent", connman.GetTotalBytesSent());
obj.pushKV("timemillis", GetTimeMillis());
UniValue outboundLimit(UniValue::VOBJ);
- outboundLimit.pushKV("timeframe", count_seconds(node.connman->GetMaxOutboundTimeframe()));
- outboundLimit.pushKV("target", node.connman->GetMaxOutboundTarget());
- outboundLimit.pushKV("target_reached", node.connman->OutboundTargetReached(false));
- outboundLimit.pushKV("serve_historical_blocks", !node.connman->OutboundTargetReached(true));
- outboundLimit.pushKV("bytes_left_in_cycle", node.connman->GetOutboundTargetBytesLeft());
- outboundLimit.pushKV("time_left_in_cycle", count_seconds(node.connman->GetMaxOutboundTimeLeftInCycle()));
+ outboundLimit.pushKV("timeframe", count_seconds(connman.GetMaxOutboundTimeframe()));
+ outboundLimit.pushKV("target", connman.GetMaxOutboundTarget());
+ outboundLimit.pushKV("target_reached", connman.OutboundTargetReached(false));
+ outboundLimit.pushKV("serve_historical_blocks", !connman.OutboundTargetReached(true));
+ outboundLimit.pushKV("bytes_left_in_cycle", connman.GetOutboundTargetBytesLeft());
+ outboundLimit.pushKV("time_left_in_cycle", count_seconds(connman.GetMaxOutboundTimeLeftInCycle()));
obj.pushKV("uploadtarget", outboundLimit);
return obj;
},
@@ -546,7 +555,7 @@ static UniValue GetNetworksInfo()
UniValue networks(UniValue::VARR);
for (int n = 0; n < NET_MAX; ++n) {
enum Network network = static_cast<enum Network>(n);
- if (network == NET_UNROUTABLE || network == NET_CJDNS || network == NET_INTERNAL) continue;
+ if (network == NET_UNROUTABLE || network == NET_INTERNAL) continue;
proxyType proxy;
UniValue obj(UniValue::VOBJ);
GetProxy(network, proxy);
@@ -593,8 +602,8 @@ static RPCHelpMan getnetworkinfo()
{RPCResult::Type::BOOL, "proxy_randomize_credentials", "Whether randomized credentials are used"},
}},
}},
- {RPCResult::Type::NUM, "relayfee", "minimum relay fee for transactions in " + CURRENCY_UNIT + "/kB"},
- {RPCResult::Type::NUM, "incrementalfee", "minimum fee increment for mempool limiting or BIP 125 replacement in " + CURRENCY_UNIT + "/kB"},
+ {RPCResult::Type::NUM, "relayfee", "minimum relay fee rate for transactions in " + CURRENCY_UNIT + "/kvB"},
+ {RPCResult::Type::NUM, "incrementalfee", "minimum fee rate increment for mempool limiting or BIP 125 replacement in " + CURRENCY_UNIT + "/kvB"},
{RPCResult::Type::ARR, "localaddresses", "list of local addresses",
{
{RPCResult::Type::OBJ, "", "",
@@ -618,7 +627,7 @@ static RPCHelpMan getnetworkinfo()
obj.pushKV("version", CLIENT_VERSION);
obj.pushKV("subversion", strSubVersion);
obj.pushKV("protocolversion",PROTOCOL_VERSION);
- NodeContext& node = EnsureNodeContext(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
if (node.connman) {
ServiceFlags services = node.connman->GetLocalServices();
obj.pushKV("localservices", strprintf("%016x", services));
@@ -630,16 +639,16 @@ static RPCHelpMan getnetworkinfo()
obj.pushKV("timeoffset", GetTimeOffset());
if (node.connman) {
obj.pushKV("networkactive", node.connman->GetNetworkActive());
- obj.pushKV("connections", (int)node.connman->GetNodeCount(CConnman::CONNECTIONS_ALL));
- obj.pushKV("connections_in", (int)node.connman->GetNodeCount(CConnman::CONNECTIONS_IN));
- obj.pushKV("connections_out", (int)node.connman->GetNodeCount(CConnman::CONNECTIONS_OUT));
+ obj.pushKV("connections", (int)node.connman->GetNodeCount(ConnectionDirection::Both));
+ obj.pushKV("connections_in", (int)node.connman->GetNodeCount(ConnectionDirection::In));
+ obj.pushKV("connections_out", (int)node.connman->GetNodeCount(ConnectionDirection::Out));
}
obj.pushKV("networks", GetNetworksInfo());
obj.pushKV("relayfee", ValueFromAmount(::minRelayTxFee.GetFeePerK()));
obj.pushKV("incrementalfee", ValueFromAmount(::incrementalRelayFee.GetFeePerK()));
UniValue localAddresses(UniValue::VARR);
{
- LOCK(cs_mapLocalHost);
+ LOCK(g_maplocalhost_mutex);
for (const std::pair<const CNetAddr, LocalServiceInfo> &item : mapLocalHost)
{
UniValue rec(UniValue::VOBJ);
@@ -663,8 +672,8 @@ static RPCHelpMan setban()
{
{"subnet", RPCArg::Type::STR, RPCArg::Optional::NO, "The IP/Subnet (see getpeerinfo for nodes IP) with an optional netmask (default is /32 = single IP)"},
{"command", RPCArg::Type::STR, RPCArg::Optional::NO, "'add' to add an IP/Subnet to the list, 'remove' to remove an IP/Subnet from the list"},
- {"bantime", RPCArg::Type::NUM, /* default */ "0", "time in seconds how long (or until when if [absolute] is set) the IP is banned (0 or empty means using the default time of 24h which can also be overwritten by the -bantime startup argument)"},
- {"absolute", RPCArg::Type::BOOL, /* default */ "false", "If set, the bantime must be an absolute timestamp expressed in " + UNIX_EPOCH_TIME},
+ {"bantime", RPCArg::Type::NUM, RPCArg::Default{0}, "time in seconds how long (or until when if [absolute] is set) the IP is banned (0 or empty means using the default time of 24h which can also be overwritten by the -bantime startup argument)"},
+ {"absolute", RPCArg::Type::BOOL, RPCArg::Default{false}, "If set, the bantime must be an absolute timestamp expressed in " + UNIX_EPOCH_TIME},
},
RPCResult{RPCResult::Type::NONE, "", ""},
RPCExamples{
@@ -680,7 +689,7 @@ static RPCHelpMan setban()
if (strCommand != "add" && strCommand != "remove") {
throw std::runtime_error(help.ToString());
}
- NodeContext& node = EnsureNodeContext(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
if (!node.banman) {
throw JSONRPCError(RPC_DATABASE_ERROR, "Error: Ban database not loaded");
}
@@ -749,9 +758,11 @@ static RPCHelpMan listbanned()
{
{RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::STR, "address", ""},
- {RPCResult::Type::NUM_TIME, "banned_until", ""},
- {RPCResult::Type::NUM_TIME, "ban_created", ""},
+ {RPCResult::Type::STR, "address", "The IP/Subnet of the banned node"},
+ {RPCResult::Type::NUM_TIME, "ban_created", "The " + UNIX_EPOCH_TIME + " the ban was created"},
+ {RPCResult::Type::NUM_TIME, "banned_until", "The " + UNIX_EPOCH_TIME + " the ban expires"},
+ {RPCResult::Type::NUM_TIME, "ban_duration", "The ban duration, in seconds"},
+ {RPCResult::Type::NUM_TIME, "time_remaining", "The time remaining until the ban expires, in seconds"},
}},
}},
RPCExamples{
@@ -760,13 +771,14 @@ static RPCHelpMan listbanned()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
if(!node.banman) {
throw JSONRPCError(RPC_DATABASE_ERROR, "Error: Ban database not loaded");
}
banmap_t banMap;
node.banman->GetBanned(banMap);
+ const int64_t current_time{GetTime()};
UniValue bannedAddresses(UniValue::VARR);
for (const auto& entry : banMap)
@@ -774,8 +786,10 @@ static RPCHelpMan listbanned()
const CBanEntry& banEntry = entry.second;
UniValue rec(UniValue::VOBJ);
rec.pushKV("address", entry.first.ToString());
- rec.pushKV("banned_until", banEntry.nBanUntil);
rec.pushKV("ban_created", banEntry.nCreateTime);
+ rec.pushKV("banned_until", banEntry.nBanUntil);
+ rec.pushKV("ban_duration", (banEntry.nBanUntil - banEntry.nCreateTime));
+ rec.pushKV("time_remaining", (banEntry.nBanUntil - current_time));
bannedAddresses.push_back(rec);
}
@@ -797,7 +811,7 @@ static RPCHelpMan clearbanned()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
if (!node.banman) {
throw JSONRPCError(RPC_DATABASE_ERROR, "Error: Ban database not loaded");
}
@@ -820,14 +834,12 @@ static RPCHelpMan setnetworkactive()
RPCExamples{""},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if (!node.connman) {
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
- }
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ CConnman& connman = EnsureConnman(node);
- node.connman->SetNetworkActive(request.params[0].get_bool());
+ connman.SetNetworkActive(request.params[0].get_bool());
- return node.connman->GetNetworkActive();
+ return connman.GetNetworkActive();
},
};
}
@@ -835,42 +847,46 @@ static RPCHelpMan setnetworkactive()
static RPCHelpMan getnodeaddresses()
{
return RPCHelpMan{"getnodeaddresses",
- "\nReturn known addresses which can potentially be used to find new nodes in the network\n",
+ "\nReturn known addresses, which can potentially be used to find new nodes in the network.\n",
{
- {"count", RPCArg::Type::NUM, /* default */ "1", "The maximum number of addresses to return. Specify 0 to return all known addresses."},
+ {"count", RPCArg::Type::NUM, RPCArg::Default{1}, "The maximum number of addresses to return. Specify 0 to return all known addresses."},
+ {"network", RPCArg::Type::STR, RPCArg::DefaultHint{"all networks"}, "Return only addresses of the specified network. Can be one of: " + Join(GetNetworkNames(), ", ") + "."},
},
RPCResult{
RPCResult::Type::ARR, "", "",
{
{RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::NUM_TIME, "time", "The " + UNIX_EPOCH_TIME + " of when the node was last seen"},
- {RPCResult::Type::NUM, "services", "The services offered"},
+ {RPCResult::Type::NUM_TIME, "time", "The " + UNIX_EPOCH_TIME + " when the node was last seen"},
+ {RPCResult::Type::NUM, "services", "The services offered by the node"},
{RPCResult::Type::STR, "address", "The address of the node"},
- {RPCResult::Type::NUM, "port", "The port of the node"},
+ {RPCResult::Type::NUM, "port", "The port number of the node"},
+ {RPCResult::Type::STR, "network", "The network (" + Join(GetNetworkNames(), ", ") + ") the node connected through"},
}},
}
},
RPCExamples{
HelpExampleCli("getnodeaddresses", "8")
- + HelpExampleRpc("getnodeaddresses", "8")
+ + HelpExampleCli("getnodeaddresses", "4 \"i2p\"")
+ + HelpExampleCli("-named getnodeaddresses", "network=onion count=12")
+ + HelpExampleRpc("getnodeaddresses", "8")
+ + HelpExampleRpc("getnodeaddresses", "4, \"i2p\"")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if (!node.connman) {
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
- }
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CConnman& connman = EnsureConnman(node);
- int count = 1;
- if (!request.params[0].isNull()) {
- count = request.params[0].get_int();
- if (count < 0) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Address count out of range");
- }
+ const int count{request.params[0].isNull() ? 1 : request.params[0].get_int()};
+ if (count < 0) throw JSONRPCError(RPC_INVALID_PARAMETER, "Address count out of range");
+
+ const std::optional<Network> network{request.params[1].isNull() ? std::nullopt : std::optional<Network>{ParseNetwork(request.params[1].get_str())}};
+ if (network == NET_UNROUTABLE) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Network not recognized: %s", request.params[1].get_str()));
}
+
// returns a shuffled list of CAddress
- std::vector<CAddress> vAddr = node.connman->GetAddresses(count, /* max_pct */ 0);
+ const std::vector<CAddress> vAddr{connman.GetAddresses(count, /* max_pct */ 0, network)};
UniValue ret(UniValue::VARR);
for (const CAddress& addr : vAddr) {
@@ -879,6 +895,7 @@ static RPCHelpMan getnodeaddresses()
obj.pushKV("services", (uint64_t)addr.nServices);
obj.pushKV("address", addr.ToStringIP());
obj.pushKV("port", addr.GetPort());
+ obj.pushKV("network", GetNetworkName(addr.GetNetClass()));
ret.push_back(obj);
}
return ret;
@@ -893,6 +910,7 @@ static RPCHelpMan addpeeraddress()
{
{"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The IP address of the peer"},
{"port", RPCArg::Type::NUM, RPCArg::Optional::NO, "The port of the peer"},
+ {"tried", RPCArg::Type::BOOL, RPCArg::Default{false}, "If true, attempt to add the peer to the tried addresses table"},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
@@ -901,36 +919,39 @@ static RPCHelpMan addpeeraddress()
},
},
RPCExamples{
- HelpExampleCli("addpeeraddress", "\"1.2.3.4\" 8333")
- + HelpExampleRpc("addpeeraddress", "\"1.2.3.4\", 8333")
+ HelpExampleCli("addpeeraddress", "\"1.2.3.4\" 8333 true")
+ + HelpExampleRpc("addpeeraddress", "\"1.2.3.4\", 8333, true")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- NodeContext& node = EnsureNodeContext(request.context);
- if (!node.connman) {
- throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ if (!node.addrman) {
+ throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Address manager functionality missing or disabled");
}
- UniValue obj(UniValue::VOBJ);
-
- std::string addr_string = request.params[0].get_str();
- uint16_t port = request.params[1].get_int();
+ const std::string& addr_string{request.params[0].get_str()};
+ const uint16_t port{static_cast<uint16_t>(request.params[1].get_int())};
+ const bool tried{request.params[2].isTrue()};
+ UniValue obj(UniValue::VOBJ);
CNetAddr net_addr;
- if (!LookupHost(addr_string, net_addr, false)) {
- obj.pushKV("success", false);
- return obj;
- }
- CAddress address = CAddress({net_addr, port}, ServiceFlags(NODE_NETWORK|NODE_WITNESS));
- address.nTime = GetAdjustedTime();
- // The source address is set equal to the address. This is equivalent to the peer
- // announcing itself.
- if (!node.connman->AddNewAddresses({address}, address)) {
- obj.pushKV("success", false);
- return obj;
+ bool success{false};
+
+ if (LookupHost(addr_string, net_addr, false)) {
+ CAddress address{{net_addr, port}, ServiceFlags{NODE_NETWORK | NODE_WITNESS}};
+ address.nTime = GetAdjustedTime();
+ // The source address is set equal to the address. This is equivalent to the peer
+ // announcing itself.
+ if (node.addrman->Add({address}, address)) {
+ success = true;
+ if (tried) {
+ // Attempt to move the address to the tried addresses table.
+ node.addrman->Good(address);
+ }
+ }
}
- obj.pushKV("success", true);
+ obj.pushKV("success", success);
return obj;
},
};
diff --git a/src/rpc/protocol.h b/src/rpc/protocol.h
index fc00a1efad..75e42e4c88 100644
--- a/src/rpc/protocol.h
+++ b/src/rpc/protocol.h
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -80,6 +80,7 @@ enum RPCErrorCode
RPC_WALLET_NOT_FOUND = -18, //!< Invalid wallet specified
RPC_WALLET_NOT_SPECIFIED = -19, //!< No wallet specified (error when there are multiple wallets loaded)
RPC_WALLET_ALREADY_LOADED = -35, //!< This same wallet is already loaded
+ RPC_WALLET_ALREADY_EXISTS = -36, //!< There is already a wallet with the same name
//! Backwards compatible aliases
RPC_WALLET_INVALID_ACCOUNT_NAME = RPC_WALLET_INVALID_LABEL_NAME,
diff --git a/src/rpc/rawtransaction.cpp b/src/rpc/rawtransaction.cpp
index 47c776bbd1..ff0d8a4e0f 100644
--- a/src/rpc/rawtransaction.cpp
+++ b/src/rpc/rawtransaction.cpp
@@ -1,19 +1,23 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <base58.h>
#include <chain.h>
#include <coins.h>
+#include <consensus/amount.h>
#include <consensus/validation.h>
#include <core_io.h>
#include <index/txindex.h>
#include <key_io.h>
#include <merkleblock.h>
+#include <node/blockstorage.h>
#include <node/coin.h>
#include <node/context.h>
#include <node/psbt.h>
#include <node/transaction.h>
+#include <policy/packages.h>
#include <policy/policy.h>
#include <policy/rbf.h>
#include <primitives/transaction.h>
@@ -22,6 +26,7 @@
#include <rpc/blockchain.h>
#include <rpc/rawtransaction_util.h>
#include <rpc/server.h>
+#include <rpc/server_util.h>
#include <rpc/util.h>
#include <script/script.h>
#include <script/sign.h>
@@ -35,13 +40,21 @@
#include <validation.h>
#include <validationinterface.h>
-
#include <numeric>
#include <stdint.h>
#include <univalue.h>
-static void TxToJSON(const CTransaction& tx, const uint256 hashBlock, UniValue& entry)
+using node::AnalyzePSBT;
+using node::BroadcastTransaction;
+using node::DEFAULT_MAX_RAW_TX_FEE_RATE;
+using node::FindCoins;
+using node::GetTransaction;
+using node::NodeContext;
+using node::PSBTAnalysis;
+using node::ReadBlockFromDisk;
+
+static void TxToJSON(const CTransaction& tx, const uint256 hashBlock, UniValue& entry, CChainState& active_chainstate)
{
// Call into TxToUniv() in bitcoin-common to decode the transaction hex.
//
@@ -54,10 +67,10 @@ static void TxToJSON(const CTransaction& tx, const uint256 hashBlock, UniValue&
LOCK(cs_main);
entry.pushKV("blockhash", hashBlock.GetHex());
- CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(hashBlock);
+ CBlockIndex* pindex = active_chainstate.m_blockman.LookupBlockIndex(hashBlock);
if (pindex) {
- if (::ChainActive().Contains(pindex)) {
- entry.pushKV("confirmations", 1 + ::ChainActive().Height() - pindex->nHeight);
+ if (active_chainstate.m_chain.Contains(pindex)) {
+ entry.pushKV("confirmations", 1 + active_chainstate.m_chain.Height() - pindex->nHeight);
entry.pushKV("time", pindex->GetBlockTime());
entry.pushKV("blocktime", pindex->GetBlockTime());
}
@@ -67,25 +80,60 @@ static void TxToJSON(const CTransaction& tx, const uint256 hashBlock, UniValue&
}
}
+static std::vector<RPCArg> CreateTxDoc()
+{
+ return {
+ {"inputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The inputs",
+ {
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
+ {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
+ {"sequence", RPCArg::Type::NUM, RPCArg::DefaultHint{"depends on the value of the 'replaceable' and 'locktime' arguments"}, "The sequence number"},
+ },
+ },
+ },
+ },
+ {"outputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The outputs (key-value pairs), where none of the keys are duplicated.\n"
+ "That is, each address can only appear once and there can only be one 'data' object.\n"
+ "For compatibility reasons, a dictionary, which holds the key-value pairs directly, is also\n"
+ " accepted as second parameter.",
+ {
+ {"", RPCArg::Type::OBJ_USER_KEYS, RPCArg::Optional::OMITTED, "",
+ {
+ {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "A key-value pair. The key (string) is the bitcoin address, the value (float or string) is the amount in " + CURRENCY_UNIT},
+ },
+ },
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
+ {
+ {"data", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "A key-value pair. The key must be \"data\", the value is hex-encoded data"},
+ },
+ },
+ },
+ },
+ {"locktime", RPCArg::Type::NUM, RPCArg::Default{0}, "Raw locktime. Non-0 value also locktime-activates inputs"},
+ {"replaceable", RPCArg::Type::BOOL, RPCArg::Default{false}, "Marks this transaction as BIP125-replaceable.\n"
+ "Allows this transaction to be replaced by a transaction with higher fees. If provided, it is an error if explicit sequence numbers are incompatible."},
+ };
+}
+
static RPCHelpMan getrawtransaction()
{
return RPCHelpMan{
"getrawtransaction",
"\nReturn the raw transaction data.\n"
- "\nBy default this function only works for mempool transactions. When called with a blockhash\n"
- "argument, getrawtransaction will return the transaction if the specified block is available and\n"
- "the transaction is found in that block. When called without a blockhash argument, getrawtransaction\n"
- "will return the transaction if it is in the mempool, or if -txindex is enabled and the transaction\n"
- "is in a block in the blockchain.\n"
-
+ "\nBy default, this call only returns a transaction if it is in the mempool. If -txindex is enabled\n"
+ "and no blockhash argument is passed, it will return the transaction if it is in the mempool or any block.\n"
+ "If a blockhash argument is passed, it will return the transaction if\n"
+ "the specified block is available and the transaction is in that block.\n"
"\nHint: Use gettransaction for wallet transactions.\n"
"\nIf verbose is 'true', returns an Object with information about 'txid'.\n"
"If verbose is 'false' or omitted, returns a string that is serialized, hex-encoded data for 'txid'.\n",
{
{"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- {"verbose", RPCArg::Type::BOOL, /* default */ "false", "If false, return a string, otherwise return a json object"},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{false}, "If false, return a string, otherwise return a json object"},
{"blockhash", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED_NAMED_ARG, "The block in which to look for the transaction"},
},
{
@@ -95,7 +143,7 @@ static RPCHelpMan getrawtransaction()
RPCResult{"if verbose is set to true",
RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::BOOL, "in_active_chain", "Whether specified block is in the active chain or not (only present with explicit \"blockhash\" argument)"},
+ {RPCResult::Type::BOOL, "in_active_chain", /*optional=*/true, "Whether specified block is in the active chain or not (only present with explicit \"blockhash\" argument)"},
{RPCResult::Type::STR_HEX, "hex", "The serialized, hex-encoded data for 'txid'"},
{RPCResult::Type::STR_HEX, "txid", "The transaction id (same as provided)"},
{RPCResult::Type::STR_HEX, "hash", "The transaction hash (differs from txid for witness transactions)"},
@@ -116,7 +164,7 @@ static RPCHelpMan getrawtransaction()
{RPCResult::Type::STR_HEX, "hex", "hex"},
}},
{RPCResult::Type::NUM, "sequence", "The script sequence number"},
- {RPCResult::Type::ARR, "txinwitness", "",
+ {RPCResult::Type::ARR, "txinwitness", /*optional=*/true, "",
{
{RPCResult::Type::STR_HEX, "hex", "hex-encoded witness data (if any)"},
}},
@@ -131,20 +179,17 @@ static RPCHelpMan getrawtransaction()
{RPCResult::Type::OBJ, "scriptPubKey", "",
{
{RPCResult::Type::STR, "asm", "the asm"},
+ {RPCResult::Type::STR, "desc", "Inferred descriptor for the output"},
{RPCResult::Type::STR, "hex", "the hex"},
- {RPCResult::Type::NUM, "reqSigs", "The required sigs"},
{RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
- {RPCResult::Type::ARR, "addresses", "",
- {
- {RPCResult::Type::STR, "address", "bitcoin address"},
- }},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The Bitcoin address (only if a well-defined address exists)"},
}},
}},
}},
- {RPCResult::Type::STR_HEX, "blockhash", "the block hash"},
- {RPCResult::Type::NUM, "confirmations", "The confirmations"},
- {RPCResult::Type::NUM_TIME, "blocktime", "The block time expressed in " + UNIX_EPOCH_TIME},
- {RPCResult::Type::NUM, "time", "Same as \"blocktime\""},
+ {RPCResult::Type::STR_HEX, "blockhash", /*optional=*/true, "the block hash"},
+ {RPCResult::Type::NUM, "confirmations", /*optional=*/true, "The confirmations"},
+ {RPCResult::Type::NUM_TIME, "blocktime", /*optional=*/true, "The block time expressed in " + UNIX_EPOCH_TIME},
+ {RPCResult::Type::NUM, "time", /*optional=*/true, "Same as \"blocktime\""},
}
},
},
@@ -157,7 +202,8 @@ static RPCHelpMan getrawtransaction()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- const NodeContext& node = EnsureNodeContext(request.context);
+ const NodeContext& node = EnsureAnyNodeContext(request.context);
+ ChainstateManager& chainman = EnsureChainman(node);
bool in_active_chain = true;
uint256 hash = ParseHashV(request.params[0], "parameter 1");
@@ -178,11 +224,11 @@ static RPCHelpMan getrawtransaction()
LOCK(cs_main);
uint256 blockhash = ParseHashV(request.params[2], "parameter 3");
- blockindex = g_chainman.m_blockman.LookupBlockIndex(blockhash);
+ blockindex = chainman.m_blockman.LookupBlockIndex(blockhash);
if (!blockindex) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block hash not found");
}
- in_active_chain = ::ChainActive().Contains(blockindex);
+ in_active_chain = chainman.ActiveChain().Contains(blockindex);
}
bool f_txindex_ready = false;
@@ -195,7 +241,8 @@ static RPCHelpMan getrawtransaction()
if (!tx) {
std::string errmsg;
if (blockindex) {
- if (!(blockindex->nStatus & BLOCK_HAVE_DATA)) {
+ const bool block_has_data = WITH_LOCK(::cs_main, return blockindex->nStatus & BLOCK_HAVE_DATA);
+ if (!block_has_data) {
throw JSONRPCError(RPC_MISC_ERROR, "Block not available");
}
errmsg = "No such transaction found in the provided block";
@@ -215,7 +262,7 @@ static RPCHelpMan getrawtransaction()
UniValue result(UniValue::VOBJ);
if (blockindex) result.pushKV("in_active_chain", in_active_chain);
- TxToJSON(*tx, hash_block, result);
+ TxToJSON(*tx, hash_block, result, chainman.ActiveChainstate());
return result;
},
};
@@ -257,21 +304,23 @@ static RPCHelpMan gettxoutproof()
CBlockIndex* pblockindex = nullptr;
uint256 hashBlock;
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
if (!request.params[1].isNull()) {
LOCK(cs_main);
hashBlock = ParseHashV(request.params[1], "blockhash");
- pblockindex = g_chainman.m_blockman.LookupBlockIndex(hashBlock);
+ pblockindex = chainman.m_blockman.LookupBlockIndex(hashBlock);
if (!pblockindex) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
}
} else {
LOCK(cs_main);
+ CChainState& active_chainstate = chainman.ActiveChainstate();
// Loop through txids and try to find which block they're in. Exit loop once a block is found.
for (const auto& tx : setTxids) {
- const Coin& coin = AccessByTxid(::ChainstateActive().CoinsTip(), tx);
+ const Coin& coin = AccessByTxid(active_chainstate.CoinsTip(), tx);
if (!coin.IsSpent()) {
- pblockindex = ::ChainActive()[coin.nHeight];
+ pblockindex = active_chainstate.m_chain[coin.nHeight];
break;
}
}
@@ -290,7 +339,7 @@ static RPCHelpMan gettxoutproof()
if (!tx || hashBlock.IsNull()) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Transaction not yet in block");
}
- pblockindex = g_chainman.m_blockman.LookupBlockIndex(hashBlock);
+ pblockindex = chainman.m_blockman.LookupBlockIndex(hashBlock);
if (!pblockindex) {
throw JSONRPCError(RPC_INTERNAL_ERROR, "Transaction index corrupt");
}
@@ -348,10 +397,11 @@ static RPCHelpMan verifytxoutproof()
if (merkleBlock.txn.ExtractMatches(vMatch, vIndex) != merkleBlock.header.hashMerkleRoot)
return res;
+ ChainstateManager& chainman = EnsureAnyChainman(request.context);
LOCK(cs_main);
- const CBlockIndex* pindex = g_chainman.m_blockman.LookupBlockIndex(merkleBlock.header.GetHash());
- if (!pindex || !::ChainActive().Contains(pindex) || pindex->nTx == 0) {
+ const CBlockIndex* pindex = chainman.m_blockman.LookupBlockIndex(merkleBlock.header.GetHash());
+ if (!pindex || !chainman.ActiveChain().Contains(pindex) || pindex->nTx == 0) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found in chain");
}
@@ -375,39 +425,7 @@ static RPCHelpMan createrawtransaction()
"Returns hex-encoded raw transaction.\n"
"Note that the transaction's inputs are not signed, and\n"
"it is not stored in the wallet or transmitted to the network.\n",
- {
- {"inputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The inputs",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
- {"sequence", RPCArg::Type::NUM, /* default */ "depends on the value of the 'replaceable' and 'locktime' arguments", "The sequence number"},
- },
- },
- },
- },
- {"outputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The outputs (key-value pairs), where none of the keys are duplicated.\n"
- "That is, each address can only appear once and there can only be one 'data' object.\n"
- "For compatibility reasons, a dictionary, which holds the key-value pairs directly, is also\n"
- " accepted as second parameter.",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "A key-value pair. The key (string) is the bitcoin address, the value (float or string) is the amount in " + CURRENCY_UNIT},
- },
- },
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"data", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "A key-value pair. The key must be \"data\", the value is hex-encoded data"},
- },
- },
- },
- },
- {"locktime", RPCArg::Type::NUM, /* default */ "0", "Raw locktime. Non-0 value also locktime-activates inputs"},
- {"replaceable", RPCArg::Type::BOOL, /* default */ "false", "Marks this transaction as BIP125-replaceable.\n"
- " Allows this transaction to be replaced by a transaction with higher fees. If provided, it is an error if explicit sequence numbers are incompatible."},
- },
+ CreateTxDoc(),
RPCResult{
RPCResult::Type::STR_HEX, "transaction", "hex string of the transaction"
},
@@ -444,7 +462,7 @@ static RPCHelpMan decoderawtransaction()
"\nReturn a JSON object representing the serialized, hex-encoded transaction.\n",
{
{"hexstring", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction hex string"},
- {"iswitness", RPCArg::Type::BOOL, /* default */ "depends on heuristic tests", "Whether the transaction hex is a serialized witness transaction.\n"
+ {"iswitness", RPCArg::Type::BOOL, RPCArg::DefaultHint{"depends on heuristic tests"}, "Whether the transaction hex is a serialized witness transaction.\n"
"If iswitness is not present, heuristic tests will be used in decoding.\n"
"If true, only witness deserialization will be tried.\n"
"If false, only non-witness deserialization will be tried.\n"
@@ -466,14 +484,15 @@ static RPCHelpMan decoderawtransaction()
{
{RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::STR_HEX, "txid", "The transaction id"},
- {RPCResult::Type::NUM, "vout", "The output number"},
- {RPCResult::Type::OBJ, "scriptSig", "The script",
+ {RPCResult::Type::STR_HEX, "coinbase", /*optional=*/true, ""},
+ {RPCResult::Type::STR_HEX, "txid", /*optional=*/true, "The transaction id"},
+ {RPCResult::Type::NUM, "vout", /*optional=*/true, "The output number"},
+ {RPCResult::Type::OBJ, "scriptSig", /*optional=*/true, "The script",
{
{RPCResult::Type::STR, "asm", "asm"},
{RPCResult::Type::STR_HEX, "hex", "hex"},
}},
- {RPCResult::Type::ARR, "txinwitness", "",
+ {RPCResult::Type::ARR, "txinwitness", /*optional=*/true, "",
{
{RPCResult::Type::STR_HEX, "hex", "hex-encoded witness data (if any)"},
}},
@@ -489,13 +508,10 @@ static RPCHelpMan decoderawtransaction()
{RPCResult::Type::OBJ, "scriptPubKey", "",
{
{RPCResult::Type::STR, "asm", "the asm"},
+ {RPCResult::Type::STR, "desc", "Inferred descriptor for the output"},
{RPCResult::Type::STR_HEX, "hex", "the hex"},
- {RPCResult::Type::NUM, "reqSigs", "The required sigs"},
{RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
- {RPCResult::Type::ARR, "addresses", "",
- {
- {RPCResult::Type::STR, "address", "bitcoin address"},
- }},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The Bitcoin address (only if a well-defined address exists)"},
}},
}},
}},
@@ -538,40 +554,37 @@ static std::string GetAllOutputTypes()
static RPCHelpMan decodescript()
{
- return RPCHelpMan{"decodescript",
- "\nDecode a hex-encoded script.\n",
- {
- {"hexstring", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "the hex-encoded script"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "asm", "Script public key"},
- {RPCResult::Type::STR, "type", "The output type (e.g. "+GetAllOutputTypes()+")"},
- {RPCResult::Type::NUM, "reqSigs", "The required signatures"},
- {RPCResult::Type::ARR, "addresses", "",
- {
- {RPCResult::Type::STR, "address", "bitcoin address"},
- }},
- {RPCResult::Type::STR, "p2sh", "address of P2SH script wrapping this redeem script (not returned if the script is already a P2SH)"},
- {RPCResult::Type::OBJ, "segwit", "Result of a witness script public key wrapping this redeem script (not returned if the script is a P2SH or witness)",
- {
- {RPCResult::Type::STR, "asm", "String representation of the script public key"},
- {RPCResult::Type::STR_HEX, "hex", "Hex string of the script public key"},
- {RPCResult::Type::STR, "type", "The type of the script public key (e.g. witness_v0_keyhash or witness_v0_scripthash)"},
- {RPCResult::Type::NUM, "reqSigs", "The required signatures (always 1)"},
- {RPCResult::Type::ARR, "addresses", "(always length 1)",
- {
- {RPCResult::Type::STR, "address", "segwit address"},
- }},
- {RPCResult::Type::STR, "p2sh-segwit", "address of the P2SH script wrapping this witness redeem script"},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("decodescript", "\"hexstring\"")
- + HelpExampleRpc("decodescript", "\"hexstring\"")
- },
+ return RPCHelpMan{
+ "decodescript",
+ "\nDecode a hex-encoded script.\n",
+ {
+ {"hexstring", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "the hex-encoded script"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "asm", "Script public key"},
+ {RPCResult::Type::STR, "desc", "Inferred descriptor for the script"},
+ {RPCResult::Type::STR, "type", "The output type (e.g. " + GetAllOutputTypes() + ")"},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The Bitcoin address (only if a well-defined address exists)"},
+ {RPCResult::Type::STR, "p2sh", /*optional=*/true,
+ "address of P2SH script wrapping this redeem script (not returned for types that should not be wrapped)"},
+ {RPCResult::Type::OBJ, "segwit", /*optional=*/true,
+ "Result of a witness script public key wrapping this redeem script (not returned for types that should not be wrapped)",
+ {
+ {RPCResult::Type::STR, "asm", "String representation of the script public key"},
+ {RPCResult::Type::STR_HEX, "hex", "Hex string of the script public key"},
+ {RPCResult::Type::STR, "type", "The type of the script public key (e.g. witness_v0_keyhash or witness_v0_scripthash)"},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The Bitcoin address (only if a well-defined address exists)"},
+ {RPCResult::Type::STR, "desc", "Inferred descriptor for the script"},
+ {RPCResult::Type::STR, "p2sh-segwit", "address of the P2SH script wrapping this witness redeem script"},
+ }},
+ },
+ },
+ RPCExamples{
+ HelpExampleCli("decodescript", "\"hexstring\"")
+ + HelpExampleRpc("decodescript", "\"hexstring\"")
+ },
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
RPCTypeCheck(request.params, {UniValue::VSTR});
@@ -584,29 +597,73 @@ static RPCHelpMan decodescript()
} else {
// Empty scripts are valid
}
- ScriptPubKeyToUniv(script, r, /* fIncludeHex */ false);
-
- UniValue type;
- type = find_value(r, "type");
+ ScriptPubKeyToUniv(script, r, /* include_hex */ false);
+
+ std::vector<std::vector<unsigned char>> solutions_data;
+ const TxoutType which_type{Solver(script, solutions_data)};
+
+ const bool can_wrap{[&] {
+ switch (which_type) {
+ case TxoutType::MULTISIG:
+ case TxoutType::NONSTANDARD:
+ case TxoutType::PUBKEY:
+ case TxoutType::PUBKEYHASH:
+ case TxoutType::WITNESS_V0_KEYHASH:
+ case TxoutType::WITNESS_V0_SCRIPTHASH:
+ // Can be wrapped if the checks below pass
+ break;
+ case TxoutType::NULL_DATA:
+ case TxoutType::SCRIPTHASH:
+ case TxoutType::WITNESS_UNKNOWN:
+ case TxoutType::WITNESS_V1_TAPROOT:
+ // Should not be wrapped
+ return false;
+ } // no default case, so the compiler can warn about missing cases
+ if (!script.HasValidOps() || script.IsUnspendable()) {
+ return false;
+ }
+ for (CScript::const_iterator it{script.begin()}; it != script.end();) {
+ opcodetype op;
+ CHECK_NONFATAL(script.GetOp(it, op));
+ if (op == OP_CHECKSIGADD || IsOpSuccess(op)) {
+ return false;
+ }
+ }
+ return true;
+ }()};
- if (type.isStr() && type.get_str() != "scripthash") {
- // P2SH cannot be wrapped in a P2SH. If this script is already a P2SH,
- // don't return the address for a P2SH of the P2SH.
+ if (can_wrap) {
r.pushKV("p2sh", EncodeDestination(ScriptHash(script)));
// P2SH and witness programs cannot be wrapped in P2WSH, if this script
// is a witness program, don't return addresses for a segwit programs.
- if (type.get_str() == "pubkey" || type.get_str() == "pubkeyhash" || type.get_str() == "multisig" || type.get_str() == "nonstandard") {
- std::vector<std::vector<unsigned char>> solutions_data;
- TxoutType which_type = Solver(script, solutions_data);
+ const bool can_wrap_P2WSH{[&] {
+ switch (which_type) {
+ case TxoutType::MULTISIG:
+ case TxoutType::PUBKEY:
// Uncompressed pubkeys cannot be used with segwit checksigs.
// If the script contains an uncompressed pubkey, skip encoding of a segwit program.
- if ((which_type == TxoutType::PUBKEY) || (which_type == TxoutType::MULTISIG)) {
for (const auto& solution : solutions_data) {
if ((solution.size() != 1) && !CPubKey(solution).IsCompressed()) {
- return r;
+ return false;
}
}
- }
+ return true;
+ case TxoutType::NONSTANDARD:
+ case TxoutType::PUBKEYHASH:
+ // Can be P2WSH wrapped
+ return true;
+ case TxoutType::NULL_DATA:
+ case TxoutType::SCRIPTHASH:
+ case TxoutType::WITNESS_UNKNOWN:
+ case TxoutType::WITNESS_V0_KEYHASH:
+ case TxoutType::WITNESS_V0_SCRIPTHASH:
+ case TxoutType::WITNESS_V1_TAPROOT:
+ // Should not be wrapped
+ return false;
+ } // no default case, so the compiler can warn about missing cases
+ CHECK_NONFATAL(false);
+ }()};
+ if (can_wrap_P2WSH) {
UniValue sr(UniValue::VOBJ);
CScript segwitScr;
if (which_type == TxoutType::PUBKEY) {
@@ -615,10 +672,9 @@ static RPCHelpMan decodescript()
segwitScr = GetScriptForDestination(WitnessV0KeyHash(uint160{solutions_data[0]}));
} else {
// Scripts that are not fit for P2WPKH are encoded as P2WSH.
- // Newer segwit program versions should be considered when then become available.
segwitScr = GetScriptForDestination(WitnessV0ScriptHash(script));
}
- ScriptPubKeyToUniv(segwitScr, sr, /* fIncludeHex */ true);
+ ScriptPubKeyToUniv(segwitScr, sr, /* include_hex */ true);
sr.pushKV("p2sh-segwit", EncodeDestination(ScriptHash(segwitScr)));
r.pushKV("segwit", sr);
}
@@ -672,10 +728,11 @@ static RPCHelpMan combinerawtransaction()
CCoinsView viewDummy;
CCoinsViewCache view(&viewDummy);
{
- const CTxMemPool& mempool = EnsureMemPool(request.context);
- LOCK(cs_main);
- LOCK(mempool.cs);
- CCoinsViewCache &viewChain = ::ChainstateActive().CoinsTip();
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
+ ChainstateManager& chainman = EnsureChainman(node);
+ LOCK2(cs_main, mempool.cs);
+ CCoinsViewCache &viewChain = chainman.ActiveChainstate().CoinsTip();
CCoinsViewMemPool viewMempool(&viewChain, mempool);
view.SetBackend(viewMempool); // temporarily switch cache backend to db+mempool view
@@ -743,7 +800,8 @@ static RPCHelpMan signrawtransactionwithkey()
},
},
},
- {"sighashtype", RPCArg::Type::STR, /* default */ "ALL", "The signature hash type. Must be one of:\n"
+ {"sighashtype", RPCArg::Type::STR, RPCArg::Default{"DEFAULT for Taproot, ALL otherwise"}, "The signature hash type. Must be one of:\n"
+ " \"DEFAULT\"\n"
" \"ALL\"\n"
" \"NONE\"\n"
" \"SINGLE\"\n"
@@ -757,12 +815,16 @@ static RPCHelpMan signrawtransactionwithkey()
{
{RPCResult::Type::STR_HEX, "hex", "The hex-encoded raw transaction with signature(s)"},
{RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
- {RPCResult::Type::ARR, "errors", /* optional */ true, "Script verification errors (if there are any)",
+ {RPCResult::Type::ARR, "errors", /*optional=*/true, "Script verification errors (if there are any)",
{
{RPCResult::Type::OBJ, "", "",
{
{RPCResult::Type::STR_HEX, "txid", "The hash of the referenced, previous transaction"},
{RPCResult::Type::NUM, "vout", "The index of the output to spent and used as input"},
+ {RPCResult::Type::ARR, "witness", "",
+ {
+ {RPCResult::Type::STR_HEX, "witness", ""},
+ }},
{RPCResult::Type::STR_HEX, "scriptSig", "The hex-encoded signature script"},
{RPCResult::Type::NUM, "sequence", "Script sequence number"},
{RPCResult::Type::STR, "error", "Verification or signing error related to the input"},
@@ -799,7 +861,7 @@ static RPCHelpMan signrawtransactionwithkey()
for (const CTxIn& txin : mtx.vin) {
coins[txin.prevout]; // Create empty map entry keyed by prevout.
}
- NodeContext& node = EnsureNodeContext(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
FindCoins(node, coins);
// Parse the prevtxs array
@@ -823,9 +885,9 @@ static RPCHelpMan sendrawtransaction()
"\nRelated RPCs: createrawtransaction, signrawtransactionwithkey\n",
{
{"hexstring", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The hex string of the raw transaction"},
- {"maxfeerate", RPCArg::Type::AMOUNT, /* default */ FormatMoney(DEFAULT_MAX_RAW_TX_FEE_RATE.GetFeePerK()),
+ {"maxfeerate", RPCArg::Type::AMOUNT, RPCArg::Default{FormatMoney(DEFAULT_MAX_RAW_TX_FEE_RATE.GetFeePerK())},
"Reject transactions whose fee rate is higher than the specified value, expressed in " + CURRENCY_UNIT +
- "/kB.\nSet to 0 to accept any fee rate.\n"},
+ "/kvB.\nSet to 0 to accept any fee rate.\n"},
},
RPCResult{
RPCResult::Type::STR_HEX, "", "The transaction hash in hex"
@@ -862,7 +924,7 @@ static RPCHelpMan sendrawtransaction()
std::string err_string;
AssertLockNotHeld(cs_main);
- NodeContext& node = EnsureNodeContext(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
const TransactionError err = BroadcastTransaction(node, tx, err_string, max_raw_tx_fee, /*relay*/ true, /*wait_callback*/ true);
if (TransactionError::OK != err) {
throw JSONRPCTransactionError(err, err_string);
@@ -876,33 +938,39 @@ static RPCHelpMan sendrawtransaction()
static RPCHelpMan testmempoolaccept()
{
return RPCHelpMan{"testmempoolaccept",
- "\nReturns result of mempool acceptance tests indicating if raw transaction (serialized, hex-encoded) would be accepted by mempool.\n"
- "\nThis checks if the transaction violates the consensus or policy rules.\n"
+ "\nReturns result of mempool acceptance tests indicating if raw transaction(s) (serialized, hex-encoded) would be accepted by mempool.\n"
+ "\nIf multiple transactions are passed in, parents must come before children and package policies apply: the transactions cannot conflict with any mempool transactions or each other.\n"
+ "\nIf one transaction fails, other transactions may not be fully validated (the 'allowed' key will be blank).\n"
+ "\nThe maximum number of transactions allowed is " + ToString(MAX_PACKAGE_COUNT) + ".\n"
+ "\nThis checks if transactions violate the consensus or policy rules.\n"
"\nSee sendrawtransaction call.\n",
{
- {"rawtxs", RPCArg::Type::ARR, RPCArg::Optional::NO, "An array of hex strings of raw transactions.\n"
- " Length must be one for now.",
+ {"rawtxs", RPCArg::Type::ARR, RPCArg::Optional::NO, "An array of hex strings of raw transactions.",
{
{"rawtx", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, ""},
},
},
- {"maxfeerate", RPCArg::Type::AMOUNT, /* default */ FormatMoney(DEFAULT_MAX_RAW_TX_FEE_RATE.GetFeePerK()), "Reject transactions whose fee rate is higher than the specified value, expressed in " + CURRENCY_UNIT + "/kB\n"},
+ {"maxfeerate", RPCArg::Type::AMOUNT, RPCArg::Default{FormatMoney(DEFAULT_MAX_RAW_TX_FEE_RATE.GetFeePerK())},
+ "Reject transactions whose fee rate is higher than the specified value, expressed in " + CURRENCY_UNIT + "/kvB\n"},
},
RPCResult{
RPCResult::Type::ARR, "", "The result of the mempool acceptance test for each raw transaction in the input array.\n"
- "Length is exactly one for now.",
+ "Returns results for each transaction in the same order they were passed in.\n"
+ "Transactions that cannot be fully validated due to failures in other transactions will not contain an 'allowed' result.\n",
{
{RPCResult::Type::OBJ, "", "",
{
{RPCResult::Type::STR_HEX, "txid", "The transaction hash in hex"},
{RPCResult::Type::STR_HEX, "wtxid", "The transaction witness hash in hex"},
- {RPCResult::Type::BOOL, "allowed", "If the mempool allows this tx to be inserted"},
- {RPCResult::Type::NUM, "vsize", "Virtual transaction size as defined in BIP 141. This is different from actual serialized size for witness transactions as witness data is discounted (only present when 'allowed' is true)"},
- {RPCResult::Type::OBJ, "fees", "Transaction fees (only present if 'allowed' is true)",
+ {RPCResult::Type::STR, "package-error", /*optional=*/true, "Package validation error, if any (only possible if rawtxs had more than 1 transaction)."},
+ {RPCResult::Type::BOOL, "allowed", /*optional=*/true, "Whether this tx would be accepted to the mempool and pass client-specified maxfeerate. "
+ "If not present, the tx was not fully validated due to a failure in another tx in the list."},
+ {RPCResult::Type::NUM, "vsize", /*optional=*/true, "Virtual transaction size as defined in BIP 141. This is different from actual serialized size for witness transactions as witness data is discounted (only present when 'allowed' is true)"},
+ {RPCResult::Type::OBJ, "fees", /*optional=*/true, "Transaction fees (only present if 'allowed' is true)",
{
{RPCResult::Type::STR_AMOUNT, "base", "transaction fee in " + CURRENCY_UNIT},
}},
- {RPCResult::Type::STR, "reject-reason", "Rejection string (only present when 'allowed' is false)"},
+ {RPCResult::Type::STR, "reject-reason", /*optional=*/true, "Rejection string (only present when 'allowed' is false)"},
}},
}
},
@@ -922,68 +990,99 @@ static RPCHelpMan testmempoolaccept()
UniValue::VARR,
UniValueType(), // VNUM or VSTR, checked inside AmountFromValue()
});
-
- if (request.params[0].get_array().size() != 1) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Array must contain exactly one raw transaction for now");
+ const UniValue raw_transactions = request.params[0].get_array();
+ if (raw_transactions.size() < 1 || raw_transactions.size() > MAX_PACKAGE_COUNT) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER,
+ "Array must contain between 1 and " + ToString(MAX_PACKAGE_COUNT) + " transactions.");
}
- CMutableTransaction mtx;
- if (!DecodeHexTx(mtx, request.params[0].get_array()[0].get_str())) {
- throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "TX decode failed. Make sure the tx has at least one input.");
- }
- CTransactionRef tx(MakeTransactionRef(std::move(mtx)));
-
const CFeeRate max_raw_tx_fee_rate = request.params[1].isNull() ?
DEFAULT_MAX_RAW_TX_FEE_RATE :
CFeeRate(AmountFromValue(request.params[1]));
- CTxMemPool& mempool = EnsureMemPool(request.context);
- int64_t virtual_size = GetVirtualTransactionSize(*tx);
- CAmount max_raw_tx_fee = max_raw_tx_fee_rate.GetFee(virtual_size);
-
- UniValue result(UniValue::VARR);
- UniValue result_0(UniValue::VOBJ);
- result_0.pushKV("txid", tx->GetHash().GetHex());
- result_0.pushKV("wtxid", tx->GetWitnessHash().GetHex());
-
- const MempoolAcceptResult accept_result = WITH_LOCK(cs_main, return AcceptToMemoryPool(::ChainstateActive(), mempool, std::move(tx),
- false /* bypass_limits */, /* test_accept */ true));
-
- // Only return the fee and vsize if the transaction would pass ATMP.
- // These can be used to calculate the feerate.
- if (accept_result.m_result_type == MempoolAcceptResult::ResultType::VALID) {
- const CAmount fee = accept_result.m_base_fees.value();
- // Check that fee does not exceed maximum fee
- if (max_raw_tx_fee && fee > max_raw_tx_fee) {
- result_0.pushKV("allowed", false);
- result_0.pushKV("reject-reason", "max-fee-exceeded");
- } else {
- result_0.pushKV("allowed", true);
- result_0.pushKV("vsize", virtual_size);
- UniValue fees(UniValue::VOBJ);
- fees.pushKV("base", ValueFromAmount(fee));
- result_0.pushKV("fees", fees);
+ std::vector<CTransactionRef> txns;
+ txns.reserve(raw_transactions.size());
+ for (const auto& rawtx : raw_transactions.getValues()) {
+ CMutableTransaction mtx;
+ if (!DecodeHexTx(mtx, rawtx.get_str())) {
+ throw JSONRPCError(RPC_DESERIALIZATION_ERROR,
+ "TX decode failed: " + rawtx.get_str() + " Make sure the tx has at least one input.");
}
- result.push_back(std::move(result_0));
- } else {
- result_0.pushKV("allowed", false);
- const TxValidationState state = accept_result.m_state;
- if (state.GetResult() == TxValidationResult::TX_MISSING_INPUTS) {
- result_0.pushKV("reject-reason", "missing-inputs");
+ txns.emplace_back(MakeTransactionRef(std::move(mtx)));
+ }
+
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ CTxMemPool& mempool = EnsureMemPool(node);
+ ChainstateManager& chainman = EnsureChainman(node);
+ CChainState& chainstate = chainman.ActiveChainstate();
+ const PackageMempoolAcceptResult package_result = [&] {
+ LOCK(::cs_main);
+ if (txns.size() > 1) return ProcessNewPackage(chainstate, mempool, txns, /* test_accept */ true);
+ return PackageMempoolAcceptResult(txns[0]->GetWitnessHash(),
+ chainman.ProcessTransaction(txns[0], /*test_accept=*/ true));
+ }();
+
+ UniValue rpc_result(UniValue::VARR);
+ // We will check transaction fees while we iterate through txns in order. If any transaction fee
+ // exceeds maxfeerate, we will leave the rest of the validation results blank, because it
+ // doesn't make sense to return a validation result for a transaction if its ancestor(s) would
+ // not be submitted.
+ bool exit_early{false};
+ for (const auto& tx : txns) {
+ UniValue result_inner(UniValue::VOBJ);
+ result_inner.pushKV("txid", tx->GetHash().GetHex());
+ result_inner.pushKV("wtxid", tx->GetWitnessHash().GetHex());
+ if (package_result.m_state.GetResult() == PackageValidationResult::PCKG_POLICY) {
+ result_inner.pushKV("package-error", package_result.m_state.GetRejectReason());
+ }
+ auto it = package_result.m_tx_results.find(tx->GetWitnessHash());
+ if (exit_early || it == package_result.m_tx_results.end()) {
+ // Validation unfinished. Just return the txid and wtxid.
+ rpc_result.push_back(result_inner);
+ continue;
+ }
+ const auto& tx_result = it->second;
+ // Package testmempoolaccept doesn't allow transactions to already be in the mempool.
+ CHECK_NONFATAL(tx_result.m_result_type != MempoolAcceptResult::ResultType::MEMPOOL_ENTRY);
+ if (tx_result.m_result_type == MempoolAcceptResult::ResultType::VALID) {
+ const CAmount fee = tx_result.m_base_fees.value();
+ // Check that fee does not exceed maximum fee
+ const int64_t virtual_size = tx_result.m_vsize.value();
+ const CAmount max_raw_tx_fee = max_raw_tx_fee_rate.GetFee(virtual_size);
+ if (max_raw_tx_fee && fee > max_raw_tx_fee) {
+ result_inner.pushKV("allowed", false);
+ result_inner.pushKV("reject-reason", "max-fee-exceeded");
+ exit_early = true;
+ } else {
+ // Only return the fee and vsize if the transaction would pass ATMP.
+ // These can be used to calculate the feerate.
+ result_inner.pushKV("allowed", true);
+ result_inner.pushKV("vsize", virtual_size);
+ UniValue fees(UniValue::VOBJ);
+ fees.pushKV("base", ValueFromAmount(fee));
+ result_inner.pushKV("fees", fees);
+ }
} else {
- result_0.pushKV("reject-reason", state.GetRejectReason());
+ result_inner.pushKV("allowed", false);
+ const TxValidationState state = tx_result.m_state;
+ if (state.GetResult() == TxValidationResult::TX_MISSING_INPUTS) {
+ result_inner.pushKV("reject-reason", "missing-inputs");
+ } else {
+ result_inner.pushKV("reject-reason", state.GetRejectReason());
+ }
}
- result.push_back(std::move(result_0));
+ rpc_result.push_back(result_inner);
}
- return result;
+ return rpc_result;
},
};
}
static RPCHelpMan decodepsbt()
{
- return RPCHelpMan{"decodepsbt",
- "\nReturn a JSON object representing the serialized, base64-encoded partially signed Bitcoin transaction.\n",
+ return RPCHelpMan{
+ "decodepsbt",
+ "Return a JSON object representing the serialized, base64-encoded partially signed Bitcoin transaction.",
{
{"psbt", RPCArg::Type::STR, RPCArg::Optional::NO, "The PSBT base64 string"},
},
@@ -994,6 +1093,26 @@ static RPCHelpMan decodepsbt()
{
{RPCResult::Type::ELISION, "", "The layout is the same as the output of decoderawtransaction."},
}},
+ {RPCResult::Type::ARR, "global_xpubs", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "xpub", "The extended public key this path corresponds to"},
+ {RPCResult::Type::STR_HEX, "master_fingerprint", "The fingerprint of the master key"},
+ {RPCResult::Type::STR, "path", "The path"},
+ }},
+ }},
+ {RPCResult::Type::NUM, "psbt_version", "The PSBT version number. Not to be confused with the unsigned transaction version"},
+ {RPCResult::Type::ARR, "proprietary", "The global proprietary map",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "identifier", "The hex string for the proprietary identifier"},
+ {RPCResult::Type::NUM, "subtype", "The number for the subtype"},
+ {RPCResult::Type::STR_HEX, "key", "The hex for the key"},
+ {RPCResult::Type::STR_HEX, "value", "The hex for the value"},
+ }},
+ }},
{RPCResult::Type::OBJ_DYN, "unknown", "The unknown global fields",
{
{RPCResult::Type::STR_HEX, "key", "(key-value pair) An unknown key-value pair"},
@@ -1002,11 +1121,11 @@ static RPCHelpMan decodepsbt()
{
{RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::OBJ, "non_witness_utxo", /* optional */ true, "Decoded network transaction for non-witness UTXOs",
+ {RPCResult::Type::OBJ, "non_witness_utxo", /*optional=*/true, "Decoded network transaction for non-witness UTXOs",
{
{RPCResult::Type::ELISION, "",""},
}},
- {RPCResult::Type::OBJ, "witness_utxo", /* optional */ true, "Transaction output for witness UTXOs",
+ {RPCResult::Type::OBJ, "witness_utxo", /*optional=*/true, "Transaction output for witness UTXOs",
{
{RPCResult::Type::NUM, "amount", "The value in " + CURRENCY_UNIT},
{RPCResult::Type::OBJ, "scriptPubKey", "",
@@ -1014,66 +1133,93 @@ static RPCHelpMan decodepsbt()
{RPCResult::Type::STR, "asm", "The asm"},
{RPCResult::Type::STR_HEX, "hex", "The hex"},
{RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
- {RPCResult::Type::STR, "address"," Bitcoin address if there is one"},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The Bitcoin address (only if a well-defined address exists)"},
}},
}},
- {RPCResult::Type::OBJ_DYN, "partial_signatures", /* optional */ true, "",
+ {RPCResult::Type::OBJ_DYN, "partial_signatures", /*optional=*/true, "",
{
{RPCResult::Type::STR, "pubkey", "The public key and signature that corresponds to it."},
}},
- {RPCResult::Type::STR, "sighash", /* optional */ true, "The sighash type to be used"},
- {RPCResult::Type::OBJ, "redeem_script", /* optional */ true, "",
+ {RPCResult::Type::STR, "sighash", /*optional=*/true, "The sighash type to be used"},
+ {RPCResult::Type::OBJ, "redeem_script", /*optional=*/true, "",
{
{RPCResult::Type::STR, "asm", "The asm"},
{RPCResult::Type::STR_HEX, "hex", "The hex"},
{RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
}},
- {RPCResult::Type::OBJ, "witness_script", /* optional */ true, "",
+ {RPCResult::Type::OBJ, "witness_script", /*optional=*/true, "",
{
{RPCResult::Type::STR, "asm", "The asm"},
{RPCResult::Type::STR_HEX, "hex", "The hex"},
{RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
}},
- {RPCResult::Type::ARR, "bip32_derivs", /* optional */ true, "",
+ {RPCResult::Type::ARR, "bip32_derivs", /*optional=*/true, "",
{
- {RPCResult::Type::OBJ, "pubkey", /* optional */ true, "The public key with the derivation path as the value.",
+ {RPCResult::Type::OBJ, "", "",
{
+ {RPCResult::Type::STR, "pubkey", "The public key with the derivation path as the value."},
{RPCResult::Type::STR, "master_fingerprint", "The fingerprint of the master key"},
{RPCResult::Type::STR, "path", "The path"},
}},
}},
- {RPCResult::Type::OBJ, "final_scriptsig", /* optional */ true, "",
+ {RPCResult::Type::OBJ, "final_scriptSig", /*optional=*/true, "",
{
{RPCResult::Type::STR, "asm", "The asm"},
{RPCResult::Type::STR, "hex", "The hex"},
}},
- {RPCResult::Type::ARR, "final_scriptwitness", "",
+ {RPCResult::Type::ARR, "final_scriptwitness", /*optional=*/true, "",
{
{RPCResult::Type::STR_HEX, "", "hex-encoded witness data (if any)"},
}},
- {RPCResult::Type::OBJ_DYN, "unknown", "The unknown global fields",
+ {RPCResult::Type::OBJ_DYN, "ripemd160_preimages", /*optional=*/ true, "",
+ {
+ {RPCResult::Type::STR, "hash", "The hash and preimage that corresponds to it."},
+ }},
+ {RPCResult::Type::OBJ_DYN, "sha256_preimages", /*optional=*/ true, "",
+ {
+ {RPCResult::Type::STR, "hash", "The hash and preimage that corresponds to it."},
+ }},
+ {RPCResult::Type::OBJ_DYN, "hash160_preimages", /*optional=*/ true, "",
+ {
+ {RPCResult::Type::STR, "hash", "The hash and preimage that corresponds to it."},
+ }},
+ {RPCResult::Type::OBJ_DYN, "hash256_preimages", /*optional=*/ true, "",
+ {
+ {RPCResult::Type::STR, "hash", "The hash and preimage that corresponds to it."},
+ }},
+ {RPCResult::Type::OBJ_DYN, "unknown", /*optional=*/ true, "The unknown input fields",
{
{RPCResult::Type::STR_HEX, "key", "(key-value pair) An unknown key-value pair"},
}},
+ {RPCResult::Type::ARR, "proprietary", /*optional=*/true, "The input proprietary map",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "identifier", "The hex string for the proprietary identifier"},
+ {RPCResult::Type::NUM, "subtype", "The number for the subtype"},
+ {RPCResult::Type::STR_HEX, "key", "The hex for the key"},
+ {RPCResult::Type::STR_HEX, "value", "The hex for the value"},
+ }},
+ }},
}},
}},
{RPCResult::Type::ARR, "outputs", "",
{
{RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::OBJ, "redeem_script", /* optional */ true, "",
+ {RPCResult::Type::OBJ, "redeem_script", /*optional=*/true, "",
{
{RPCResult::Type::STR, "asm", "The asm"},
{RPCResult::Type::STR_HEX, "hex", "The hex"},
{RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
}},
- {RPCResult::Type::OBJ, "witness_script", /* optional */ true, "",
+ {RPCResult::Type::OBJ, "witness_script", /*optional=*/true, "",
{
{RPCResult::Type::STR, "asm", "The asm"},
{RPCResult::Type::STR_HEX, "hex", "The hex"},
{RPCResult::Type::STR, "type", "The type, eg 'pubkeyhash'"},
}},
- {RPCResult::Type::ARR, "bip32_derivs", /* optional */ true, "",
+ {RPCResult::Type::ARR, "bip32_derivs", /*optional=*/true, "",
{
{RPCResult::Type::OBJ, "", "",
{
@@ -1082,13 +1228,23 @@ static RPCHelpMan decodepsbt()
{RPCResult::Type::STR, "path", "The path"},
}},
}},
- {RPCResult::Type::OBJ_DYN, "unknown", "The unknown global fields",
+ {RPCResult::Type::OBJ_DYN, "unknown", /*optional=*/true, "The unknown global fields",
{
{RPCResult::Type::STR_HEX, "key", "(key-value pair) An unknown key-value pair"},
}},
+ {RPCResult::Type::ARR, "proprietary", /*optional=*/true, "The output proprietary map",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "identifier", "The hex string for the proprietary identifier"},
+ {RPCResult::Type::NUM, "subtype", "The number for the subtype"},
+ {RPCResult::Type::STR_HEX, "key", "The hex for the key"},
+ {RPCResult::Type::STR_HEX, "value", "The hex for the value"},
+ }},
+ }},
}},
}},
- {RPCResult::Type::STR_AMOUNT, "fee", /* optional */ true, "The transaction fee paid if all UTXOs slots in the PSBT have been filled."},
+ {RPCResult::Type::STR_AMOUNT, "fee", /*optional=*/true, "The transaction fee paid if all UTXOs slots in the PSBT have been filled."},
}
},
RPCExamples{
@@ -1112,6 +1268,38 @@ static RPCHelpMan decodepsbt()
TxToUniv(CTransaction(*psbtx.tx), uint256(), tx_univ, false);
result.pushKV("tx", tx_univ);
+ // Add the global xpubs
+ UniValue global_xpubs(UniValue::VARR);
+ for (std::pair<KeyOriginInfo, std::set<CExtPubKey>> xpub_pair : psbtx.m_xpubs) {
+ for (auto& xpub : xpub_pair.second) {
+ std::vector<unsigned char> ser_xpub;
+ ser_xpub.assign(BIP32_EXTKEY_WITH_VERSION_SIZE, 0);
+ xpub.EncodeWithVersion(ser_xpub.data());
+
+ UniValue keypath(UniValue::VOBJ);
+ keypath.pushKV("xpub", EncodeBase58Check(ser_xpub));
+ keypath.pushKV("master_fingerprint", HexStr(Span<unsigned char>(xpub_pair.first.fingerprint, xpub_pair.first.fingerprint + 4)));
+ keypath.pushKV("path", WriteHDKeypath(xpub_pair.first.path));
+ global_xpubs.push_back(keypath);
+ }
+ }
+ result.pushKV("global_xpubs", global_xpubs);
+
+ // PSBT version
+ result.pushKV("psbt_version", static_cast<uint64_t>(psbtx.GetVersion()));
+
+ // Proprietary
+ UniValue proprietary(UniValue::VARR);
+ for (const auto& entry : psbtx.m_proprietary) {
+ UniValue this_prop(UniValue::VOBJ);
+ this_prop.pushKV("identifier", HexStr(entry.identifier));
+ this_prop.pushKV("subtype", entry.subtype);
+ this_prop.pushKV("key", HexStr(entry.key));
+ this_prop.pushKV("value", HexStr(entry.value));
+ proprietary.push_back(this_prop);
+ }
+ result.pushKV("proprietary", proprietary);
+
// Unknown data
UniValue unknowns(UniValue::VOBJ);
for (auto entry : psbtx.unknown) {
@@ -1133,7 +1321,7 @@ static RPCHelpMan decodepsbt()
txout = input.witness_utxo;
UniValue o(UniValue::VOBJ);
- ScriptToUniv(txout.scriptPubKey, o, true);
+ ScriptPubKeyToUniv(txout.scriptPubKey, o, /* include_hex */ true);
UniValue out(UniValue::VOBJ);
out.pushKV("amount", ValueFromAmount(txout.nValue));
@@ -1173,19 +1361,19 @@ static RPCHelpMan decodepsbt()
}
// Sighash
- if (input.sighash_type > 0) {
- in.pushKV("sighash", SighashToStr((unsigned char)input.sighash_type));
+ if (input.sighash_type != std::nullopt) {
+ in.pushKV("sighash", SighashToStr((unsigned char)*input.sighash_type));
}
// Redeem script and witness script
if (!input.redeem_script.empty()) {
UniValue r(UniValue::VOBJ);
- ScriptToUniv(input.redeem_script, r, false);
+ ScriptToUniv(input.redeem_script, r);
in.pushKV("redeem_script", r);
}
if (!input.witness_script.empty()) {
UniValue r(UniValue::VOBJ);
- ScriptToUniv(input.witness_script, r, false);
+ ScriptToUniv(input.witness_script, r);
in.pushKV("witness_script", r);
}
@@ -1218,6 +1406,56 @@ static RPCHelpMan decodepsbt()
in.pushKV("final_scriptwitness", txinwitness);
}
+ // Ripemd160 hash preimages
+ if (!input.ripemd160_preimages.empty()) {
+ UniValue ripemd160_preimages(UniValue::VOBJ);
+ for (const auto& [hash, preimage] : input.ripemd160_preimages) {
+ ripemd160_preimages.pushKV(HexStr(hash), HexStr(preimage));
+ }
+ in.pushKV("ripemd160_preimages", ripemd160_preimages);
+ }
+
+ // Sha256 hash preimages
+ if (!input.sha256_preimages.empty()) {
+ UniValue sha256_preimages(UniValue::VOBJ);
+ for (const auto& [hash, preimage] : input.sha256_preimages) {
+ sha256_preimages.pushKV(HexStr(hash), HexStr(preimage));
+ }
+ in.pushKV("sha256_preimages", sha256_preimages);
+ }
+
+ // Hash160 hash preimages
+ if (!input.hash160_preimages.empty()) {
+ UniValue hash160_preimages(UniValue::VOBJ);
+ for (const auto& [hash, preimage] : input.hash160_preimages) {
+ hash160_preimages.pushKV(HexStr(hash), HexStr(preimage));
+ }
+ in.pushKV("hash160_preimages", hash160_preimages);
+ }
+
+ // Hash256 hash preimages
+ if (!input.hash256_preimages.empty()) {
+ UniValue hash256_preimages(UniValue::VOBJ);
+ for (const auto& [hash, preimage] : input.hash256_preimages) {
+ hash256_preimages.pushKV(HexStr(hash), HexStr(preimage));
+ }
+ in.pushKV("hash256_preimages", hash256_preimages);
+ }
+
+ // Proprietary
+ if (!input.m_proprietary.empty()) {
+ UniValue proprietary(UniValue::VARR);
+ for (const auto& entry : input.m_proprietary) {
+ UniValue this_prop(UniValue::VOBJ);
+ this_prop.pushKV("identifier", HexStr(entry.identifier));
+ this_prop.pushKV("subtype", entry.subtype);
+ this_prop.pushKV("key", HexStr(entry.key));
+ this_prop.pushKV("value", HexStr(entry.value));
+ proprietary.push_back(this_prop);
+ }
+ in.pushKV("proprietary", proprietary);
+ }
+
// Unknown data
if (input.unknown.size() > 0) {
UniValue unknowns(UniValue::VOBJ);
@@ -1240,12 +1478,12 @@ static RPCHelpMan decodepsbt()
// Redeem script and witness script
if (!output.redeem_script.empty()) {
UniValue r(UniValue::VOBJ);
- ScriptToUniv(output.redeem_script, r, false);
+ ScriptToUniv(output.redeem_script, r);
out.pushKV("redeem_script", r);
}
if (!output.witness_script.empty()) {
UniValue r(UniValue::VOBJ);
- ScriptToUniv(output.witness_script, r, false);
+ ScriptToUniv(output.witness_script, r);
out.pushKV("witness_script", r);
}
@@ -1262,6 +1500,20 @@ static RPCHelpMan decodepsbt()
out.pushKV("bip32_derivs", keypaths);
}
+ // Proprietary
+ if (!output.m_proprietary.empty()) {
+ UniValue proprietary(UniValue::VARR);
+ for (const auto& entry : output.m_proprietary) {
+ UniValue this_prop(UniValue::VOBJ);
+ this_prop.pushKV("identifier", HexStr(entry.identifier));
+ this_prop.pushKV("subtype", entry.subtype);
+ this_prop.pushKV("key", HexStr(entry.key));
+ this_prop.pushKV("value", HexStr(entry.value));
+ proprietary.push_back(this_prop);
+ }
+ out.pushKV("proprietary", proprietary);
+ }
+
// Unknown data
if (output.unknown.size() > 0) {
UniValue unknowns(UniValue::VOBJ);
@@ -1350,14 +1602,14 @@ static RPCHelpMan finalizepsbt()
"Implements the Finalizer and Extractor roles.\n",
{
{"psbt", RPCArg::Type::STR, RPCArg::Optional::NO, "A base64 string of a PSBT"},
- {"extract", RPCArg::Type::BOOL, /* default */ "true", "If true and the transaction is complete,\n"
+ {"extract", RPCArg::Type::BOOL, RPCArg::Default{true}, "If true and the transaction is complete,\n"
" extract and return the complete transaction in normal network serialization instead of the PSBT."},
},
RPCResult{
RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::STR, "psbt", "The base64-encoded partially signed transaction if not extracted"},
- {RPCResult::Type::STR_HEX, "hex", "The hex-encoded network transaction if extracted"},
+ {RPCResult::Type::STR, "psbt", /*optional=*/true, "The base64-encoded partially signed transaction if not extracted"},
+ {RPCResult::Type::STR_HEX, "hex", /*optional=*/true, "The hex-encoded network transaction if extracted"},
{RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
}
},
@@ -1405,39 +1657,7 @@ static RPCHelpMan createpsbt()
return RPCHelpMan{"createpsbt",
"\nCreates a transaction in the Partially Signed Transaction format.\n"
"Implements the Creator role.\n",
- {
- {"inputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The json objects",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
- {"sequence", RPCArg::Type::NUM, /* default */ "depends on the value of the 'replaceable' and 'locktime' arguments", "The sequence number"},
- },
- },
- },
- },
- {"outputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The outputs (key-value pairs), where none of the keys are duplicated.\n"
- "That is, each address can only appear once and there can only be one 'data' object.\n"
- "For compatibility reasons, a dictionary, which holds the key-value pairs directly, is also\n"
- " accepted as second parameter.",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "A key-value pair. The key (string) is the bitcoin address, the value (float or string) is the amount in " + CURRENCY_UNIT},
- },
- },
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"data", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "A key-value pair. The key must be \"data\", the value is hex-encoded data"},
- },
- },
- },
- },
- {"locktime", RPCArg::Type::NUM, /* default */ "0", "Raw locktime. Non-0 value also locktime-activates inputs"},
- {"replaceable", RPCArg::Type::BOOL, /* default */ "false", "Marks this transaction as BIP125 replaceable.\n"
- " Allows this transaction to be replaced by a transaction with higher fees. If provided, it is an error if explicit sequence numbers are incompatible."},
- },
+ CreateTxDoc(),
RPCResult{
RPCResult::Type::STR, "", "The resulting raw transaction (base64-encoded string)"
},
@@ -1487,9 +1707,9 @@ static RPCHelpMan converttopsbt()
"createpsbt and walletcreatefundedpsbt should be used for new applications.\n",
{
{"hexstring", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The hex string of a raw transaction"},
- {"permitsigdata", RPCArg::Type::BOOL, /* default */ "false", "If true, any signatures in the input will be discarded and conversion\n"
+ {"permitsigdata", RPCArg::Type::BOOL, RPCArg::Default{false}, "If true, any signatures in the input will be discarded and conversion\n"
" will continue. If false, RPC will fail if any signatures are present."},
- {"iswitness", RPCArg::Type::BOOL, /* default */ "depends on heuristic tests", "Whether the transaction hex is a serialized witness transaction.\n"
+ {"iswitness", RPCArg::Type::BOOL, RPCArg::DefaultHint{"depends on heuristic tests"}, "Whether the transaction hex is a serialized witness transaction.\n"
"If iswitness is not present, heuristic tests will be used in decoding.\n"
"If true, only witness deserialization will be tried.\n"
"If false, only non-witness deserialization will be tried.\n"
@@ -1559,7 +1779,7 @@ static RPCHelpMan utxoupdatepsbt()
{"", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "An output descriptor"},
{"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "An object with an output descriptor and extra information", {
{"desc", RPCArg::Type::STR, RPCArg::Optional::NO, "An output descriptor"},
- {"range", RPCArg::Type::RANGE, "1000", "Up to what index HD chains should be explored (either end or [begin,end])"},
+ {"range", RPCArg::Type::RANGE, RPCArg::Default{1000}, "Up to what index HD chains should be explored (either end or [begin,end])"},
}},
}},
},
@@ -1589,15 +1809,17 @@ static RPCHelpMan utxoupdatepsbt()
}
}
// We don't actually need private keys further on; hide them as a precaution.
- HidingSigningProvider public_provider(&provider, /* nosign */ true, /* nobip32derivs */ false);
+ HidingSigningProvider public_provider(&provider, /*hide_secret=*/true, /*hide_origin=*/false);
// Fetch previous transactions (inputs):
CCoinsView viewDummy;
CCoinsViewCache view(&viewDummy);
{
- const CTxMemPool& mempool = EnsureMemPool(request.context);
+ NodeContext& node = EnsureAnyNodeContext(request.context);
+ const CTxMemPool& mempool = EnsureMemPool(node);
+ ChainstateManager& chainman = EnsureChainman(node);
LOCK2(cs_main, mempool.cs);
- CCoinsViewCache &viewChain = ::ChainstateActive().CoinsTip();
+ CCoinsViewCache &viewChain = chainman.ActiveChainstate().CoinsTip();
CCoinsViewMemPool viewMempool(&viewChain, mempool);
view.SetBackend(viewMempool); // temporarily switch cache backend to db+mempool view
@@ -1609,6 +1831,7 @@ static RPCHelpMan utxoupdatepsbt()
}
// Fill the inputs
+ const PrecomputedTransactionData txdata = PrecomputePSBTData(psbtx);
for (unsigned int i = 0; i < psbtx.tx->vin.size(); ++i) {
PSBTInput& input = psbtx.inputs.at(i);
@@ -1625,7 +1848,7 @@ static RPCHelpMan utxoupdatepsbt()
// Update script/keypath information using descriptor data.
// Note that SignPSBTInput does a lot more than just constructing ECDSA signatures
// we don't actually care about those here, in fact.
- SignPSBTInput(public_provider, psbtx, i, /* sighash_type */ 1);
+ SignPSBTInput(public_provider, psbtx, i, &txdata, /*sighash=*/1);
}
// Update script/keypath information using descriptor data.
@@ -1704,6 +1927,13 @@ static RPCHelpMan joinpsbts()
for (unsigned int i = 0; i < psbt.tx->vout.size(); ++i) {
merged_psbt.AddOutput(psbt.tx->vout[i], psbt.outputs[i]);
}
+ for (auto& xpub_pair : psbt.m_xpubs) {
+ if (merged_psbt.m_xpubs.count(xpub_pair.first) == 0) {
+ merged_psbt.m_xpubs[xpub_pair.first] = xpub_pair.second;
+ } else {
+ merged_psbt.m_xpubs[xpub_pair.first].insert(xpub_pair.second.begin(), xpub_pair.second.end());
+ }
+ }
merged_psbt.unknown.insert(psbt.unknown.begin(), psbt.unknown.end());
}
@@ -1746,33 +1976,33 @@ static RPCHelpMan analyzepsbt()
RPCResult {
RPCResult::Type::OBJ, "", "",
{
- {RPCResult::Type::ARR, "inputs", "",
+ {RPCResult::Type::ARR, "inputs", /*optional=*/true, "",
{
{RPCResult::Type::OBJ, "", "",
{
{RPCResult::Type::BOOL, "has_utxo", "Whether a UTXO is provided"},
{RPCResult::Type::BOOL, "is_final", "Whether the input is finalized"},
- {RPCResult::Type::OBJ, "missing", /* optional */ true, "Things that are missing that are required to complete this input",
+ {RPCResult::Type::OBJ, "missing", /*optional=*/true, "Things that are missing that are required to complete this input",
{
- {RPCResult::Type::ARR, "pubkeys", /* optional */ true, "",
+ {RPCResult::Type::ARR, "pubkeys", /*optional=*/true, "",
{
{RPCResult::Type::STR_HEX, "keyid", "Public key ID, hash160 of the public key, of a public key whose BIP 32 derivation path is missing"},
}},
- {RPCResult::Type::ARR, "signatures", /* optional */ true, "",
+ {RPCResult::Type::ARR, "signatures", /*optional=*/true, "",
{
{RPCResult::Type::STR_HEX, "keyid", "Public key ID, hash160 of the public key, of a public key whose signature is missing"},
}},
- {RPCResult::Type::STR_HEX, "redeemscript", /* optional */ true, "Hash160 of the redeemScript that is missing"},
- {RPCResult::Type::STR_HEX, "witnessscript", /* optional */ true, "SHA256 of the witnessScript that is missing"},
+ {RPCResult::Type::STR_HEX, "redeemscript", /*optional=*/true, "Hash160 of the redeemScript that is missing"},
+ {RPCResult::Type::STR_HEX, "witnessscript", /*optional=*/true, "SHA256 of the witnessScript that is missing"},
}},
- {RPCResult::Type::STR, "next", /* optional */ true, "Role of the next person that this input needs to go to"},
+ {RPCResult::Type::STR, "next", /*optional=*/true, "Role of the next person that this input needs to go to"},
}},
}},
- {RPCResult::Type::NUM, "estimated_vsize", /* optional */ true, "Estimated vsize of the final signed transaction"},
- {RPCResult::Type::STR_AMOUNT, "estimated_feerate", /* optional */ true, "Estimated feerate of the final signed transaction in " + CURRENCY_UNIT + "/kB. Shown only if all UTXO slots in the PSBT have been filled"},
- {RPCResult::Type::STR_AMOUNT, "fee", /* optional */ true, "The transaction fee paid. Shown only if all UTXO slots in the PSBT have been filled"},
+ {RPCResult::Type::NUM, "estimated_vsize", /*optional=*/true, "Estimated vsize of the final signed transaction"},
+ {RPCResult::Type::STR_AMOUNT, "estimated_feerate", /*optional=*/true, "Estimated feerate of the final signed transaction in " + CURRENCY_UNIT + "/kvB. Shown only if all UTXO slots in the PSBT have been filled"},
+ {RPCResult::Type::STR_AMOUNT, "fee", /*optional=*/true, "The transaction fee paid. Shown only if all UTXO slots in the PSBT have been filled"},
{RPCResult::Type::STR, "next", "Role of the next person that this psbt needs to go to"},
- {RPCResult::Type::STR, "error", /* optional */ true, "Error message (if there is one)"},
+ {RPCResult::Type::STR, "error", /*optional=*/true, "Error message (if there is one)"},
}
},
RPCExamples {
@@ -1828,13 +2058,13 @@ static RPCHelpMan analyzepsbt()
}
if (!inputs_result.empty()) result.pushKV("inputs", inputs_result);
- if (psbta.estimated_vsize != nullopt) {
+ if (psbta.estimated_vsize != std::nullopt) {
result.pushKV("estimated_vsize", (int)*psbta.estimated_vsize);
}
- if (psbta.estimated_feerate != nullopt) {
+ if (psbta.estimated_feerate != std::nullopt) {
result.pushKV("estimated_feerate", ValueFromAmount(psbta.estimated_feerate->GetFeePerK()));
}
- if (psbta.fee != nullopt) {
+ if (psbta.fee != std::nullopt) {
result.pushKV("fee", ValueFromAmount(*psbta.fee));
}
result.pushKV("next", PSBTRoleName(psbta.next));
diff --git a/src/rpc/rawtransaction_util.cpp b/src/rpc/rawtransaction_util.cpp
index 122a92f084..e23fe34480 100644
--- a/src/rpc/rawtransaction_util.cpp
+++ b/src/rpc/rawtransaction_util.cpp
@@ -1,11 +1,12 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <rpc/rawtransaction_util.h>
#include <coins.h>
+#include <consensus/amount.h>
#include <core_io.h>
#include <key_io.h>
#include <policy/policy.h>
@@ -18,6 +19,7 @@
#include <univalue.h>
#include <util/rbf.h>
#include <util/strencodings.h>
+#include <util/translation.h>
CMutableTransaction ConstructTransaction(const UniValue& inputs_in, const UniValue& outputs_in, const UniValue& locktime, bool rbf)
{
@@ -61,7 +63,7 @@ CMutableTransaction ConstructTransaction(const UniValue& inputs_in, const UniVal
if (rbf) {
nSequence = MAX_BIP125_RBF_SEQUENCE; /* CTxIn::SEQUENCE_FINAL - 2 */
} else if (rawTx.nLockTime) {
- nSequence = CTxIn::SEQUENCE_FINAL - 1;
+ nSequence = CTxIn::MAX_SEQUENCE_NONFINAL; /* CTxIn::SEQUENCE_FINAL - 1 */
} else {
nSequence = CTxIn::SEQUENCE_FINAL;
}
@@ -280,22 +282,22 @@ void SignTransaction(CMutableTransaction& mtx, const SigningProvider* keystore,
int nHashType = ParseSighashString(hashType);
// Script verification errors
- std::map<int, std::string> input_errors;
+ std::map<int, bilingual_str> input_errors;
bool complete = SignTransaction(mtx, keystore, coins, nHashType, input_errors);
SignTransactionResultToJSON(mtx, complete, coins, input_errors, result);
}
-void SignTransactionResultToJSON(CMutableTransaction& mtx, bool complete, const std::map<COutPoint, Coin>& coins, const std::map<int, std::string>& input_errors, UniValue& result)
+void SignTransactionResultToJSON(CMutableTransaction& mtx, bool complete, const std::map<COutPoint, Coin>& coins, const std::map<int, bilingual_str>& input_errors, UniValue& result)
{
// Make errors UniValue
UniValue vErrors(UniValue::VARR);
for (const auto& err_pair : input_errors) {
- if (err_pair.second == "Missing amount") {
+ if (err_pair.second.original == "Missing amount") {
// This particular error needs to be an exception for some reason
throw JSONRPCError(RPC_TYPE_ERROR, strprintf("Missing amount for %s", coins.at(mtx.vin.at(err_pair.first).prevout).out.ToString()));
}
- TxInErrorToJSON(mtx.vin.at(err_pair.first), vErrors, err_pair.second);
+ TxInErrorToJSON(mtx.vin.at(err_pair.first), vErrors, err_pair.second.original);
}
result.pushKV("hex", EncodeHexTx(CTransaction(mtx)));
diff --git a/src/rpc/rawtransaction_util.h b/src/rpc/rawtransaction_util.h
index ce7d5834fa..c3eb1417f8 100644
--- a/src/rpc/rawtransaction_util.h
+++ b/src/rpc/rawtransaction_util.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,6 +8,7 @@
#include <map>
#include <string>
+struct bilingual_str;
class FillableSigningProvider;
class UniValue;
struct CMutableTransaction;
@@ -25,7 +26,7 @@ class SigningProvider;
* @param result JSON object where signed transaction results accumulate
*/
void SignTransaction(CMutableTransaction& mtx, const SigningProvider* keystore, const std::map<COutPoint, Coin>& coins, const UniValue& hashType, UniValue& result);
-void SignTransactionResultToJSON(CMutableTransaction& mtx, bool complete, const std::map<COutPoint, Coin>& coins, const std::map<int, std::string>& input_errors, UniValue& result);
+void SignTransactionResultToJSON(CMutableTransaction& mtx, bool complete, const std::map<COutPoint, Coin>& coins, const std::map<int, bilingual_str>& input_errors, UniValue& result);
/**
* Parse a prevtxs UniValue array and get the map of coins from it
diff --git a/src/rpc/register.h b/src/rpc/register.h
index 374a1e3db8..c5055cc9d7 100644
--- a/src/rpc/register.h
+++ b/src/rpc/register.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2018 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,6 +19,8 @@ void RegisterMiscRPCCommands(CRPCTable &tableRPC);
void RegisterMiningRPCCommands(CRPCTable &tableRPC);
/** Register raw transaction RPC commands */
void RegisterRawTransactionRPCCommands(CRPCTable &tableRPC);
+/** Register raw transaction RPC commands */
+void RegisterSignerRPCCommands(CRPCTable &tableRPC);
static inline void RegisterAllCoreRPCCommands(CRPCTable &t)
{
@@ -27,6 +29,9 @@ static inline void RegisterAllCoreRPCCommands(CRPCTable &t)
RegisterMiscRPCCommands(t);
RegisterMiningRPCCommands(t);
RegisterRawTransactionRPCCommands(t);
+#ifdef ENABLE_EXTERNAL_SIGNER
+ RegisterSignerRPCCommands(t);
+#endif // ENABLE_EXTERNAL_SIGNER
}
#endif // BITCOIN_RPC_REGISTER_H
diff --git a/src/rpc/request.cpp b/src/rpc/request.cpp
index a7866474e1..95a7c25b93 100644
--- a/src/rpc/request.cpp
+++ b/src/rpc/request.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,6 +12,11 @@
#include <util/system.h>
#include <util/strencodings.h>
+#include <fstream>
+#include <stdexcept>
+#include <string>
+#include <vector>
+
/**
* JSON-RPC protocol. Bitcoin speaks version 1.0 for maximum compatibility,
* but uses JSON-RPC 1.1/2.0 standards for parts of the 1.0 standard that were
@@ -70,7 +75,7 @@ static fs::path GetAuthCookieFile(bool temp=false)
if (temp) {
arg += ".tmp";
}
- return AbsPathForConfigVal(fs::path(arg));
+ return AbsPathForConfigVal(fs::PathFromString(arg));
}
bool GenerateAuthCookie(std::string *cookie_out)
@@ -83,11 +88,11 @@ bool GenerateAuthCookie(std::string *cookie_out)
/** the umask determines what permissions are used to create this file -
* these are set to 077 in init.cpp unless overridden with -sysperms.
*/
- fsbridge::ofstream file;
+ std::ofstream file;
fs::path filepath_tmp = GetAuthCookieFile(true);
file.open(filepath_tmp);
if (!file.is_open()) {
- LogPrintf("Unable to open cookie authentication file %s for writing\n", filepath_tmp.string());
+ LogPrintf("Unable to open cookie authentication file %s for writing\n", fs::PathToString(filepath_tmp));
return false;
}
file << cookie;
@@ -95,10 +100,10 @@ bool GenerateAuthCookie(std::string *cookie_out)
fs::path filepath = GetAuthCookieFile(false);
if (!RenameOver(filepath_tmp, filepath)) {
- LogPrintf("Unable to rename cookie authentication file %s to %s\n", filepath_tmp.string(), filepath.string());
+ LogPrintf("Unable to rename cookie authentication file %s to %s\n", fs::PathToString(filepath_tmp), fs::PathToString(filepath));
return false;
}
- LogPrintf("Generated RPC authentication cookie %s\n", filepath.string());
+ LogPrintf("Generated RPC authentication cookie %s\n", fs::PathToString(filepath));
if (cookie_out)
*cookie_out = cookie;
@@ -107,7 +112,7 @@ bool GenerateAuthCookie(std::string *cookie_out)
bool GetAuthCookie(std::string *cookie_out)
{
- fsbridge::ifstream file;
+ std::ifstream file;
std::string cookie;
fs::path filepath = GetAuthCookieFile();
file.open(filepath);
diff --git a/src/rpc/request.h b/src/rpc/request.h
index de3a4ae840..a682c58d96 100644
--- a/src/rpc/request.h
+++ b/src/rpc/request.h
@@ -1,19 +1,16 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_RPC_REQUEST_H
#define BITCOIN_RPC_REQUEST_H
+#include <any>
#include <string>
#include <univalue.h>
-namespace util {
-class Ref;
-} // namespace util
-
UniValue JSONRPCRequestObj(const std::string& strMethod, const UniValue& params, const UniValue& id);
UniValue JSONRPCReplyObj(const UniValue& result, const UniValue& error, const UniValue& id);
std::string JSONRPCReply(const UniValue& result, const UniValue& error, const UniValue& id);
@@ -34,22 +31,11 @@ public:
UniValue id;
std::string strMethod;
UniValue params;
- bool fHelp;
+ enum Mode { EXECUTE, GET_HELP, GET_ARGS } mode = EXECUTE;
std::string URI;
std::string authUser;
std::string peerAddr;
- const util::Ref& context;
-
- explicit JSONRPCRequest(const util::Ref& context) : id(NullUniValue), params(NullUniValue), fHelp(false), context(context) {}
-
- //! Initializes request information from another request object and the
- //! given context. The implementation should be updated if any members are
- //! added or removed above.
- JSONRPCRequest(const JSONRPCRequest& other, const util::Ref& context)
- : id(other.id), strMethod(other.strMethod), params(other.params), fHelp(other.fHelp), URI(other.URI),
- authUser(other.authUser), peerAddr(other.peerAddr), context(context)
- {
- }
+ std::any context;
void parse(const UniValue& valRequest);
};
diff --git a/src/rpc/server.cpp b/src/rpc/server.cpp
index 9a9b3713f3..c70236cc1c 100644
--- a/src/rpc/server.cpp
+++ b/src/rpc/server.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -87,8 +87,8 @@ std::string CRPCTable::help(const std::string& strCommand, const JSONRPCRequest&
vCommands.push_back(make_pair(entry.second.front()->category + entry.first, entry.second.front()));
sort(vCommands.begin(), vCommands.end());
- JSONRPCRequest jreq(helpreq);
- jreq.fHelp = true;
+ JSONRPCRequest jreq = helpreq;
+ jreq.mode = JSONRPCRequest::GET_HELP;
jreq.params = UniValue();
for (const std::pair<std::string, const CRPCCommand*>& command : vCommands)
@@ -135,10 +135,11 @@ static RPCHelpMan help()
return RPCHelpMan{"help",
"\nList all commands, or get help for a specified command.\n",
{
- {"command", RPCArg::Type::STR, /* default */ "all commands", "The command to get help on"},
+ {"command", RPCArg::Type::STR, RPCArg::DefaultHint{"all commands"}, "The command to get help on"},
},
- RPCResult{
- RPCResult::Type::STR, "", "The help text"
+ {
+ RPCResult{RPCResult::Type::STR, "", "The help text"},
+ RPCResult{RPCResult::Type::ANY, "", ""},
},
RPCExamples{""},
[&](const RPCHelpMan& self, const JSONRPCRequest& jsonRequest) -> UniValue
@@ -149,7 +150,7 @@ static RPCHelpMan help()
}
if (strCommand == "dump_all_command_conversions") {
// Used for testing only, undocumented
- return tableRPC.dumpArgMap();
+ return tableRPC.dumpArgMap(jsonRequest);
}
return tableRPC.help(strCommand, jsonRequest);
@@ -238,7 +239,7 @@ static RPCHelpMan getrpcinfo()
UniValue result(UniValue::VOBJ);
result.pushKV("active_commands", active_commands);
- const std::string path = LogInstance().m_file_path.string();
+ const std::string path = LogInstance().m_file_path.u8string();
UniValue log_path(UniValue::VSTR, path);
result.pushKV("logpath", log_path);
@@ -437,6 +438,16 @@ static inline JSONRPCRequest transformNamedArguments(const JSONRPCRequest& in, c
return out;
}
+static bool ExecuteCommands(const std::vector<const CRPCCommand*>& commands, const JSONRPCRequest& request, UniValue& result)
+{
+ for (const auto& command : commands) {
+ if (ExecuteCommand(*command, request, result, &command == &commands.back())) {
+ return true;
+ }
+ }
+ return false;
+}
+
UniValue CRPCTable::execute(const JSONRPCRequest &request) const
{
// Return immediately if in warmup
@@ -450,10 +461,8 @@ UniValue CRPCTable::execute(const JSONRPCRequest &request) const
auto it = mapCommands.find(request.strMethod);
if (it != mapCommands.end()) {
UniValue result;
- for (const auto& command : it->second) {
- if (ExecuteCommand(*command, request, result, &command == &it->second.back())) {
- return result;
- }
+ if (ExecuteCommands(it->second, request, result)) {
+ return result;
}
}
throw JSONRPCError(RPC_METHOD_NOT_FOUND, "Method not found");
@@ -484,13 +493,18 @@ std::vector<std::string> CRPCTable::listCommands() const
return commandList;
}
-UniValue CRPCTable::dumpArgMap() const
+UniValue CRPCTable::dumpArgMap(const JSONRPCRequest& args_request) const
{
+ JSONRPCRequest request = args_request;
+ request.mode = JSONRPCRequest::GET_ARGS;
+
UniValue ret{UniValue::VARR};
for (const auto& cmd : mapCommands) {
- for (const auto& c : cmd.second) {
- const auto help = RpcMethodFnType(c->unique_id)();
- help.AppendArgMap(ret);
+ UniValue result;
+ if (ExecuteCommands(cmd.second, request, result)) {
+ for (const auto& values : result.getValues()) {
+ ret.push_back(values);
+ }
}
}
return ret;
@@ -526,7 +540,7 @@ void RPCRunLater(const std::string& name, std::function<void()> func, int64_t nS
int RPCSerializationFlags()
{
int flag = 0;
- if (gArgs.GetArg("-rpcserialversion", DEFAULT_RPC_SERIALIZE_VERSION) == 0)
+ if (gArgs.GetIntArg("-rpcserialversion", DEFAULT_RPC_SERIALIZE_VERSION) == 0)
flag |= SERIALIZE_TRANSACTION_NO_WITNESS;
return flag;
}
diff --git a/src/rpc/server.h b/src/rpc/server.h
index fe5a791e1e..01e8556050 100644
--- a/src/rpc/server.h
+++ b/src/rpc/server.h
@@ -1,12 +1,11 @@
// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_RPC_SERVER_H
#define BITCOIN_RPC_SERVER_H
-#include <amount.h>
#include <rpc/request.h>
#include <rpc/util.h>
@@ -148,7 +147,7 @@ public:
/**
* Return all named arguments that need to be converted by the client from string to another JSON type
*/
- UniValue dumpArgMap() const;
+ UniValue dumpArgMap(const JSONRPCRequest& request) const;
/**
* Appends a CRPCCommand to the dispatch table.
diff --git a/src/rpc/server_util.cpp b/src/rpc/server_util.cpp
new file mode 100644
index 0000000000..6a1b41f066
--- /dev/null
+++ b/src/rpc/server_util.cpp
@@ -0,0 +1,95 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <rpc/server_util.h>
+
+#include <net_processing.h>
+#include <node/context.h>
+#include <policy/fees.h>
+#include <rpc/protocol.h>
+#include <rpc/request.h>
+#include <txmempool.h>
+#include <util/system.h>
+#include <validation.h>
+
+#include <any>
+
+using node::NodeContext;
+
+NodeContext& EnsureAnyNodeContext(const std::any& context)
+{
+ auto node_context = util::AnyPtr<NodeContext>(context);
+ if (!node_context) {
+ throw JSONRPCError(RPC_INTERNAL_ERROR, "Node context not found");
+ }
+ return *node_context;
+}
+
+CTxMemPool& EnsureMemPool(const NodeContext& node)
+{
+ if (!node.mempool) {
+ throw JSONRPCError(RPC_CLIENT_MEMPOOL_DISABLED, "Mempool disabled or instance not found");
+ }
+ return *node.mempool;
+}
+
+CTxMemPool& EnsureAnyMemPool(const std::any& context)
+{
+ return EnsureMemPool(EnsureAnyNodeContext(context));
+}
+
+ArgsManager& EnsureArgsman(const NodeContext& node)
+{
+ if (!node.args) {
+ throw JSONRPCError(RPC_INTERNAL_ERROR, "Node args not found");
+ }
+ return *node.args;
+}
+
+ArgsManager& EnsureAnyArgsman(const std::any& context)
+{
+ return EnsureArgsman(EnsureAnyNodeContext(context));
+}
+
+ChainstateManager& EnsureChainman(const NodeContext& node)
+{
+ if (!node.chainman) {
+ throw JSONRPCError(RPC_INTERNAL_ERROR, "Node chainman not found");
+ }
+ return *node.chainman;
+}
+
+ChainstateManager& EnsureAnyChainman(const std::any& context)
+{
+ return EnsureChainman(EnsureAnyNodeContext(context));
+}
+
+CBlockPolicyEstimator& EnsureFeeEstimator(const NodeContext& node)
+{
+ if (!node.fee_estimator) {
+ throw JSONRPCError(RPC_INTERNAL_ERROR, "Fee estimation disabled");
+ }
+ return *node.fee_estimator;
+}
+
+CBlockPolicyEstimator& EnsureAnyFeeEstimator(const std::any& context)
+{
+ return EnsureFeeEstimator(EnsureAnyNodeContext(context));
+}
+
+CConnman& EnsureConnman(const NodeContext& node)
+{
+ if (!node.connman) {
+ throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ }
+ return *node.connman;
+}
+
+PeerManager& EnsurePeerman(const NodeContext& node)
+{
+ if (!node.peerman) {
+ throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
+ }
+ return *node.peerman;
+}
diff --git a/src/rpc/server_util.h b/src/rpc/server_util.h
new file mode 100644
index 0000000000..2cc710a803
--- /dev/null
+++ b/src/rpc/server_util.h
@@ -0,0 +1,32 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_RPC_SERVER_UTIL_H
+#define BITCOIN_RPC_SERVER_UTIL_H
+
+#include <any>
+
+class ArgsManager;
+class CBlockPolicyEstimator;
+class CConnman;
+class CTxMemPool;
+class ChainstateManager;
+class PeerManager;
+namespace node {
+struct NodeContext;
+} // namespace node
+
+node::NodeContext& EnsureAnyNodeContext(const std::any& context);
+CTxMemPool& EnsureMemPool(const node::NodeContext& node);
+CTxMemPool& EnsureAnyMemPool(const std::any& context);
+ArgsManager& EnsureArgsman(const node::NodeContext& node);
+ArgsManager& EnsureAnyArgsman(const std::any& context);
+ChainstateManager& EnsureChainman(const node::NodeContext& node);
+ChainstateManager& EnsureAnyChainman(const std::any& context);
+CBlockPolicyEstimator& EnsureFeeEstimator(const node::NodeContext& node);
+CBlockPolicyEstimator& EnsureAnyFeeEstimator(const std::any& context);
+CConnman& EnsureConnman(const node::NodeContext& node);
+PeerManager& EnsurePeerman(const node::NodeContext& node);
+
+#endif // BITCOIN_RPC_SERVER_UTIL_H
diff --git a/src/rpc/util.cpp b/src/rpc/util.cpp
index e890c0108a..5ef7e26ce8 100644
--- a/src/rpc/util.cpp
+++ b/src/rpc/util.cpp
@@ -2,6 +2,7 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <consensus/amount.h>
#include <key_io.h>
#include <outputtype.h>
#include <rpc/util.h>
@@ -74,12 +75,12 @@ void RPCTypeCheckObj(const UniValue& o,
}
}
-CAmount AmountFromValue(const UniValue& value)
+CAmount AmountFromValue(const UniValue& value, int decimals)
{
if (!value.isNum() && !value.isStr())
throw JSONRPCError(RPC_TYPE_ERROR, "Amount is not a number or string");
CAmount amount;
- if (!ParseFixedPoint(value.getValStr(), 8, &amount))
+ if (!ParseFixedPoint(value.getValStr(), decimals, &amount))
throw JSONRPCError(RPC_TYPE_ERROR, "Invalid amount");
if (!MoneyRange(amount))
throw JSONRPCError(RPC_TYPE_ERROR, "Amount out of range");
@@ -113,17 +114,80 @@ std::vector<unsigned char> ParseHexO(const UniValue& o, std::string strKey)
return ParseHexV(find_value(o, strKey), strKey);
}
+namespace {
+
+/**
+ * Quote an argument for shell.
+ *
+ * @note This is intended for help, not for security-sensitive purposes.
+ */
+std::string ShellQuote(const std::string& s)
+{
+ std::string result;
+ result.reserve(s.size() * 2);
+ for (const char ch: s) {
+ if (ch == '\'') {
+ result += "'\''";
+ } else {
+ result += ch;
+ }
+ }
+ return "'" + result + "'";
+}
+
+/**
+ * Shell-quotes the argument if it needs quoting, else returns it literally, to save typing.
+ *
+ * @note This is intended for help, not for security-sensitive purposes.
+ */
+std::string ShellQuoteIfNeeded(const std::string& s)
+{
+ for (const char ch: s) {
+ if (ch == ' ' || ch == '\'' || ch == '"') {
+ return ShellQuote(s);
+ }
+ }
+
+ return s;
+}
+
+}
+
std::string HelpExampleCli(const std::string& methodname, const std::string& args)
{
return "> bitcoin-cli " + methodname + " " + args + "\n";
}
+std::string HelpExampleCliNamed(const std::string& methodname, const RPCArgList& args)
+{
+ std::string result = "> bitcoin-cli -named " + methodname;
+ for (const auto& argpair: args) {
+ const auto& value = argpair.second.isStr()
+ ? argpair.second.get_str()
+ : argpair.second.write();
+ result += " " + argpair.first + "=" + ShellQuoteIfNeeded(value);
+ }
+ result += "\n";
+ return result;
+}
+
std::string HelpExampleRpc(const std::string& methodname, const std::string& args)
{
return "> curl --user myusername --data-binary '{\"jsonrpc\": \"1.0\", \"id\": \"curltest\", "
"\"method\": \"" + methodname + "\", \"params\": [" + args + "]}' -H 'content-type: text/plain;' http://127.0.0.1:8332/\n";
}
+std::string HelpExampleRpcNamed(const std::string& methodname, const RPCArgList& args)
+{
+ UniValue params(UniValue::VOBJ);
+ for (const auto& param: args) {
+ params.pushKV(param.first, param.second);
+ }
+
+ return "> curl --user myusername --data-binary '{\"jsonrpc\": \"1.0\", \"id\": \"curltest\", "
+ "\"method\": \"" + methodname + "\", \"params\": " + params.write() + "}' -H 'content-type: text/plain;' http://127.0.0.1:8332/\n";
+}
+
// Converts a hex string to a public key if possible
CPubKey HexToPubKey(const std::string& hex_in)
{
@@ -146,7 +210,7 @@ CPubKey AddrToPubKey(const FillableSigningProvider& keystore, const std::string&
}
CKeyID key = GetKeyForDestination(keystore, dest);
if (key.IsNull()) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("%s does not refer to a key", addr_in));
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("'%s' does not refer to a key", addr_in));
}
CPubKey vchPubKey;
if (!keystore.GetPubKey(key, vchPubKey)) {
@@ -168,16 +232,12 @@ CTxDestination AddAndGetMultisigDestination(const int required, const std::vecto
if ((int)pubkeys.size() < required) {
throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("not enough keys supplied (got %u keys, but need at least %d to redeem)", pubkeys.size(), required));
}
- if (pubkeys.size() > 16) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Number of keys involved in the multisignature address creation > 16\nReduce the number");
+ if (pubkeys.size() > MAX_PUBKEYS_PER_MULTISIG) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Number of keys involved in the multisignature address creation > %d\nReduce the number", MAX_PUBKEYS_PER_MULTISIG));
}
script_out = GetScriptForMultisig(required, pubkeys);
- if (script_out.size() > MAX_SCRIPT_ELEMENT_SIZE) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, (strprintf("redeemScript exceeds size limit: %d > %d", script_out.size(), MAX_SCRIPT_ELEMENT_SIZE)));
- }
-
// Check if any keys are uncompressed. If so, the type is legacy
for (const CPubKey& pk : pubkeys) {
if (!pk.IsCompressed()) {
@@ -186,6 +246,10 @@ CTxDestination AddAndGetMultisigDestination(const int required, const std::vecto
}
}
+ if (type == OutputType::LEGACY && script_out.size() > MAX_SCRIPT_ELEMENT_SIZE) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, (strprintf("redeemScript exceeds size limit: %d > %d", script_out.size(), MAX_SCRIPT_ELEMENT_SIZE)));
+ }
+
// Make the address
CTxDestination dest = AddAndGetDestinationForScript(keystore, script_out, type);
@@ -238,12 +302,22 @@ public:
return obj;
}
+ UniValue operator()(const WitnessV1Taproot& tap) const
+ {
+ UniValue obj(UniValue::VOBJ);
+ obj.pushKV("isscript", true);
+ obj.pushKV("iswitness", true);
+ obj.pushKV("witness_version", 1);
+ obj.pushKV("witness_program", HexStr(tap));
+ return obj;
+ }
+
UniValue operator()(const WitnessUnknown& id) const
{
UniValue obj(UniValue::VOBJ);
obj.pushKV("iswitness", true);
obj.pushKV("witness_version", (int)id.version);
- obj.pushKV("witness_program", HexStr(Span<const unsigned char>(id.program, id.length)));
+ obj.pushKV("witness_program", HexStr({id.program, id.length}));
return obj;
}
};
@@ -435,6 +509,33 @@ RPCHelpMan::RPCHelpMan(std::string name, std::string description, std::vector<RP
for (const std::string& name : names) {
CHECK_NONFATAL(named_args.insert(name).second);
}
+ // Default value type should match argument type only when defined
+ if (arg.m_fallback.index() == 2) {
+ const RPCArg::Type type = arg.m_type;
+ switch (std::get<RPCArg::Default>(arg.m_fallback).getType()) {
+ case UniValue::VOBJ:
+ CHECK_NONFATAL(type == RPCArg::Type::OBJ);
+ break;
+ case UniValue::VARR:
+ CHECK_NONFATAL(type == RPCArg::Type::ARR);
+ break;
+ case UniValue::VSTR:
+ CHECK_NONFATAL(type == RPCArg::Type::STR || type == RPCArg::Type::STR_HEX || type == RPCArg::Type::AMOUNT);
+ break;
+ case UniValue::VNUM:
+ CHECK_NONFATAL(type == RPCArg::Type::NUM || type == RPCArg::Type::AMOUNT || type == RPCArg::Type::RANGE);
+ break;
+ case UniValue::VBOOL:
+ CHECK_NONFATAL(type == RPCArg::Type::BOOL);
+ break;
+ case UniValue::VNULL:
+ // Null values are accepted in all arguments
+ break;
+ default:
+ CHECK_NONFATAL(false);
+ break;
+ }
+ }
}
}
@@ -442,6 +543,7 @@ std::string RPCResults::ToDescriptionString() const
{
std::string result;
for (const auto& r : m_results) {
+ if (r.m_type == RPCResult::Type::ANY) continue; // for testing only
if (r.m_cond.empty()) {
result += "\nResult:\n";
} else {
@@ -459,6 +561,23 @@ std::string RPCExamples::ToDescriptionString() const
return m_examples.empty() ? m_examples : "\nExamples:\n" + m_examples;
}
+UniValue RPCHelpMan::HandleRequest(const JSONRPCRequest& request) const
+{
+ if (request.mode == JSONRPCRequest::GET_ARGS) {
+ return GetArgMap();
+ }
+ /*
+ * Check if the given request is valid according to this command or if
+ * the user is asking for help information, and throw help when appropriate.
+ */
+ if (request.mode == JSONRPCRequest::GET_HELP || !IsValidNumArgs(request.params.size())) {
+ throw std::runtime_error(ToString());
+ }
+ const UniValue ret = m_fun(*this, request);
+ CHECK_NONFATAL(std::any_of(m_results.m_results.begin(), m_results.m_results.end(), [ret](const RPCResult& res) { return res.MatchesType(ret); }));
+ return ret;
+}
+
bool RPCHelpMan::IsValidNumArgs(size_t num_args) const
{
size_t num_required_args = 0;
@@ -501,10 +620,9 @@ std::string RPCHelpMan::ToString() const
ret += arg.ToString(/* oneline */ true);
}
if (was_optional) ret += " )";
- ret += "\n";
// Description
- ret += m_description;
+ ret += "\n\n" + TrimString(m_description) + "\n";
// Arguments
Sections sections;
@@ -532,8 +650,9 @@ std::string RPCHelpMan::ToString() const
return ret;
}
-void RPCHelpMan::AppendArgMap(UniValue& arr) const
+UniValue RPCHelpMan::GetArgMap() const
{
+ UniValue arr{UniValue::VARR};
for (int i{0}; i < int(m_args.size()); ++i) {
const auto& arg = m_args.at(i);
std::vector<std::string> arg_names;
@@ -548,6 +667,7 @@ void RPCHelpMan::AppendArgMap(UniValue& arr) const
arr.push_back(map);
}
}
+ return arr;
}
std::string RPCArg::GetFirstName() const
@@ -563,7 +683,7 @@ std::string RPCArg::GetName() const
bool RPCArg::IsOptional() const
{
- if (m_fallback.index() == 1) {
+ if (m_fallback.index() != 0) {
return true;
} else {
return RPCArg::Optional::NO != std::get<RPCArg::Optional>(m_fallback);
@@ -611,7 +731,9 @@ std::string RPCArg::ToDescriptionString() const
} // no default case, so the compiler can warn about missing cases
}
if (m_fallback.index() == 1) {
- ret += ", optional, default=" + std::get<std::string>(m_fallback);
+ ret += ", optional, default=" + std::get<RPCArg::DefaultHint>(m_fallback);
+ } else if (m_fallback.index() == 2) {
+ ret += ", optional, default=" + std::get<RPCArg::Default>(m_fallback).write();
} else {
switch (std::get<RPCArg::Optional>(m_fallback)) {
case RPCArg::Optional::OMITTED: {
@@ -660,6 +782,9 @@ void RPCResult::ToSections(Sections& sections, const OuterType outer_type, const
sections.PushSection({indent + "..." + maybe_separator, m_description});
return;
}
+ case Type::ANY: {
+ CHECK_NONFATAL(false); // Only for testing
+ }
case Type::NONE: {
sections.PushSection({indent + "null" + maybe_separator, Description("json null")});
return;
@@ -706,11 +831,14 @@ void RPCResult::ToSections(Sections& sections, const OuterType outer_type, const
}
case Type::OBJ_DYN:
case Type::OBJ: {
+ if (m_inner.empty()) {
+ sections.PushSection({indent + maybe_key + "{}", Description("empty JSON object")});
+ return;
+ }
sections.PushSection({indent + maybe_key + "{", Description("json object")});
for (const auto& i : m_inner) {
i.ToSections(sections, OuterType::OBJ, current_indent + 2);
}
- CHECK_NONFATAL(!m_inner.empty());
if (m_type == Type::OBJ_DYN && m_inner.back().m_type != Type::ELISION) {
// If the dictionary keys are dynamic, use three dots for continuation
sections.PushSection({indent_next + "...", ""});
@@ -725,6 +853,53 @@ void RPCResult::ToSections(Sections& sections, const OuterType outer_type, const
CHECK_NONFATAL(false);
}
+bool RPCResult::MatchesType(const UniValue& result) const
+{
+ switch (m_type) {
+ case Type::ELISION: {
+ return false;
+ }
+ case Type::ANY: {
+ return true;
+ }
+ case Type::NONE: {
+ return UniValue::VNULL == result.getType();
+ }
+ case Type::STR:
+ case Type::STR_HEX: {
+ return UniValue::VSTR == result.getType();
+ }
+ case Type::NUM:
+ case Type::STR_AMOUNT:
+ case Type::NUM_TIME: {
+ return UniValue::VNUM == result.getType();
+ }
+ case Type::BOOL: {
+ return UniValue::VBOOL == result.getType();
+ }
+ case Type::ARR_FIXED:
+ case Type::ARR: {
+ return UniValue::VARR == result.getType();
+ }
+ case Type::OBJ_DYN:
+ case Type::OBJ: {
+ return UniValue::VOBJ == result.getType();
+ }
+ } // no default case, so the compiler can warn about missing cases
+ CHECK_NONFATAL(false);
+}
+
+void RPCResult::CheckInnerDoc() const
+{
+ if (m_type == Type::OBJ) {
+ // May or may not be empty
+ return;
+ }
+ // Everything else must either be empty or not
+ const bool inner_needed{m_type == Type::ARR || m_type == Type::ARR_FIXED || m_type == Type::OBJ_DYN};
+ CHECK_NONFATAL(inner_needed != m_inner.empty());
+}
+
std::string RPCArg::ToStringObj(const bool oneline) const
{
std::string res;
diff --git a/src/rpc/util.h b/src/rpc/util.h
index c54ce85f60..25ebf78fa1 100644
--- a/src/rpc/util.h
+++ b/src/rpc/util.h
@@ -72,14 +72,25 @@ void RPCTypeCheckObj(const UniValue& o,
* Utilities: convert hex-encoded Values
* (throws error if not hex).
*/
-extern uint256 ParseHashV(const UniValue& v, std::string strName);
-extern uint256 ParseHashO(const UniValue& o, std::string strKey);
-extern std::vector<unsigned char> ParseHexV(const UniValue& v, std::string strName);
-extern std::vector<unsigned char> ParseHexO(const UniValue& o, std::string strKey);
+uint256 ParseHashV(const UniValue& v, std::string strName);
+uint256 ParseHashO(const UniValue& o, std::string strKey);
+std::vector<unsigned char> ParseHexV(const UniValue& v, std::string strName);
+std::vector<unsigned char> ParseHexO(const UniValue& o, std::string strKey);
-extern CAmount AmountFromValue(const UniValue& value);
-extern std::string HelpExampleCli(const std::string& methodname, const std::string& args);
-extern std::string HelpExampleRpc(const std::string& methodname, const std::string& args);
+/**
+ * Validate and return a CAmount from a UniValue number or string.
+ *
+ * @param[in] value UniValue number or string to parse.
+ * @param[in] decimals Number of significant digits (default: 8).
+ * @returns a CAmount if the various checks pass.
+ */
+CAmount AmountFromValue(const UniValue& value, int decimals = 8);
+
+using RPCArgList = std::vector<std::pair<std::string, UniValue>>;
+std::string HelpExampleCli(const std::string& methodname, const std::string& args);
+std::string HelpExampleCliNamed(const std::string& methodname, const RPCArgList& args);
+std::string HelpExampleRpc(const std::string& methodname, const std::string& args);
+std::string HelpExampleRpcNamed(const std::string& methodname, const RPCArgList& args);
CPubKey HexToPubKey(const std::string& hex_in);
CPubKey AddrToPubKey(const FillableSigningProvider& keystore, const std::string& addr_in);
@@ -141,7 +152,9 @@ struct RPCArg {
*/
OMITTED,
};
- using Fallback = std::variant<Optional, /* default value for optional args */ std::string>;
+ using DefaultHint = std::string;
+ using Default = UniValue;
+ using Fallback = std::variant<Optional, /* hint for default value */ DefaultHint, /* default constant value */ Default>;
const std::string m_names; //!< The name of the arg (can be empty for inner args, can contain multiple aliases separated by | for named request arguments)
const Type m_type;
const bool m_hidden;
@@ -167,7 +180,7 @@ struct RPCArg {
m_oneline_description{std::move(oneline_description)},
m_type_str{std::move(type_str)}
{
- CHECK_NONFATAL(type != Type::ARR && type != Type::OBJ);
+ CHECK_NONFATAL(type != Type::ARR && type != Type::OBJ && type != Type::OBJ_USER_KEYS);
}
RPCArg(
@@ -187,7 +200,7 @@ struct RPCArg {
m_oneline_description{std::move(oneline_description)},
m_type_str{std::move(type_str)}
{
- CHECK_NONFATAL(type == Type::ARR || type == Type::OBJ);
+ CHECK_NONFATAL(type == Type::ARR || type == Type::OBJ || type == Type::OBJ_USER_KEYS);
}
bool IsOptional() const;
@@ -223,6 +236,7 @@ struct RPCResult {
NUM,
BOOL,
NONE,
+ ANY, //!< Special type to disable type checks (for testing only)
STR_AMOUNT, //!< Special string to represent a floating point amount
STR_HEX, //!< Special string with only hex chars
OBJ_DYN, //!< Special dictionary with keys that are not literals
@@ -253,8 +267,7 @@ struct RPCResult {
m_cond{std::move(cond)}
{
CHECK_NONFATAL(!m_cond.empty());
- const bool inner_needed{type == Type::ARR || type == Type::ARR_FIXED || type == Type::OBJ || type == Type::OBJ_DYN};
- CHECK_NONFATAL(inner_needed != inner.empty());
+ CheckInnerDoc();
}
RPCResult(
@@ -278,8 +291,7 @@ struct RPCResult {
m_description{std::move(description)},
m_cond{}
{
- const bool inner_needed{type == Type::ARR || type == Type::ARR_FIXED || type == Type::OBJ || type == Type::OBJ_DYN};
- CHECK_NONFATAL(inner_needed != inner.empty());
+ CheckInnerDoc();
}
RPCResult(
@@ -295,6 +307,11 @@ struct RPCResult {
std::string ToStringObj() const;
/** Return the description string, including the result type. */
std::string ToDescriptionString() const;
+ /** Check whether the result JSON type matches. */
+ bool MatchesType(const UniValue& result) const;
+
+private:
+ void CheckInnerDoc() const;
};
struct RPCResults {
@@ -333,26 +350,12 @@ public:
using RPCMethodImpl = std::function<UniValue(const RPCHelpMan&, const JSONRPCRequest&)>;
RPCHelpMan(std::string name, std::string description, std::vector<RPCArg> args, RPCResults results, RPCExamples examples, RPCMethodImpl fun);
+ UniValue HandleRequest(const JSONRPCRequest& request) const;
std::string ToString() const;
- /** Append the named args that need to be converted from string to another JSON type */
- void AppendArgMap(UniValue& arr) const;
- UniValue HandleRequest(const JSONRPCRequest& request)
- {
- Check(request);
- return m_fun(*this, request);
- }
+ /** Return the named args that need to be converted from string to another JSON type */
+ UniValue GetArgMap() const;
/** If the supplied number of args is neither too small nor too high */
bool IsValidNumArgs(size_t num_args) const;
- /**
- * Check if the given request is valid according to this command or if
- * the user is asking for help information, and throw help when appropriate.
- */
- inline void Check(const JSONRPCRequest& request) const {
- if (request.fHelp || !IsValidNumArgs(request.params.size())) {
- throw std::runtime_error(ToString());
- }
- }
-
std::vector<std::string> GetArgNames() const;
const std::string m_name;
diff --git a/src/scheduler.cpp b/src/scheduler.cpp
index b3ee23f139..0b2ad3c553 100644
--- a/src/scheduler.cpp
+++ b/src/scheduler.cpp
@@ -1,10 +1,12 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <scheduler.h>
#include <random.h>
+#include <util/syscall_sandbox.h>
+#include <util/time.h>
#include <assert.h>
#include <functional>
@@ -23,6 +25,7 @@ CScheduler::~CScheduler()
void CScheduler::serviceQueue()
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::SCHEDULER);
WAIT_LOCK(newTaskMutex, lock);
++nThreadsServicingQueue;
@@ -80,7 +83,7 @@ void CScheduler::schedule(CScheduler::Function f, std::chrono::system_clock::tim
void CScheduler::MockForward(std::chrono::seconds delta_seconds)
{
- assert(delta_seconds.count() > 0 && delta_seconds < std::chrono::hours{1});
+ assert(delta_seconds > 0s && delta_seconds <= 1h);
{
LOCK(newTaskMutex);
@@ -133,7 +136,7 @@ bool CScheduler::AreThreadsServicingQueue() const
void SingleThreadedSchedulerClient::MaybeScheduleProcessQueue()
{
{
- LOCK(m_cs_callbacks_pending);
+ LOCK(m_callbacks_mutex);
// Try to avoid scheduling too many copies here, but if we
// accidentally have two ProcessQueue's scheduled at once its
// not a big deal.
@@ -147,7 +150,7 @@ void SingleThreadedSchedulerClient::ProcessQueue()
{
std::function<void()> callback;
{
- LOCK(m_cs_callbacks_pending);
+ LOCK(m_callbacks_mutex);
if (m_are_callbacks_running) return;
if (m_callbacks_pending.empty()) return;
m_are_callbacks_running = true;
@@ -164,7 +167,7 @@ void SingleThreadedSchedulerClient::ProcessQueue()
~RAIICallbacksRunning()
{
{
- LOCK(instance->m_cs_callbacks_pending);
+ LOCK(instance->m_callbacks_mutex);
instance->m_are_callbacks_running = false;
}
instance->MaybeScheduleProcessQueue();
@@ -179,7 +182,7 @@ void SingleThreadedSchedulerClient::AddToProcessQueue(std::function<void()> func
assert(m_pscheduler);
{
- LOCK(m_cs_callbacks_pending);
+ LOCK(m_callbacks_mutex);
m_callbacks_pending.emplace_back(std::move(func));
}
MaybeScheduleProcessQueue();
@@ -191,13 +194,13 @@ void SingleThreadedSchedulerClient::EmptyQueue()
bool should_continue = true;
while (should_continue) {
ProcessQueue();
- LOCK(m_cs_callbacks_pending);
+ LOCK(m_callbacks_mutex);
should_continue = !m_callbacks_pending.empty();
}
}
size_t SingleThreadedSchedulerClient::CallbacksPending()
{
- LOCK(m_cs_callbacks_pending);
+ LOCK(m_callbacks_mutex);
return m_callbacks_pending.size();
}
diff --git a/src/scheduler.h b/src/scheduler.h
index 9eec8c0fa0..bb0abfbf7a 100644
--- a/src/scheduler.h
+++ b/src/scheduler.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -119,9 +119,9 @@ class SingleThreadedSchedulerClient
private:
CScheduler* m_pscheduler;
- RecursiveMutex m_cs_callbacks_pending;
- std::list<std::function<void()>> m_callbacks_pending GUARDED_BY(m_cs_callbacks_pending);
- bool m_are_callbacks_running GUARDED_BY(m_cs_callbacks_pending) = false;
+ Mutex m_callbacks_mutex;
+ std::list<std::function<void()>> m_callbacks_pending GUARDED_BY(m_callbacks_mutex);
+ bool m_are_callbacks_running GUARDED_BY(m_callbacks_mutex) = false;
void MaybeScheduleProcessQueue();
void ProcessQueue();
@@ -146,4 +146,4 @@ public:
size_t CallbacksPending();
};
-#endif
+#endif // BITCOIN_SCHEDULER_H
diff --git a/src/script/bitcoinconsensus.cpp b/src/script/bitcoinconsensus.cpp
index 76609f01a7..f7f9dfc262 100644
--- a/src/script/bitcoinconsensus.cpp
+++ b/src/script/bitcoinconsensus.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2018 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -22,20 +22,23 @@ public:
m_remaining(txToLen)
{}
- void read(char* pch, size_t nSize)
+ void read(Span<std::byte> dst)
{
- if (nSize > m_remaining)
+ if (dst.size() > m_remaining) {
throw std::ios_base::failure(std::string(__func__) + ": end of data");
+ }
- if (pch == nullptr)
+ if (dst.data() == nullptr) {
throw std::ios_base::failure(std::string(__func__) + ": bad destination buffer");
+ }
- if (m_data == nullptr)
+ if (m_data == nullptr) {
throw std::ios_base::failure(std::string(__func__) + ": bad source buffer");
+ }
- memcpy(pch, m_data, nSize);
- m_remaining -= nSize;
- m_data += nSize;
+ memcpy(dst.data(), m_data, dst.size());
+ m_remaining -= dst.size();
+ m_data += dst.size();
}
template<typename T>
@@ -92,7 +95,7 @@ static int verify_script(const unsigned char *scriptPubKey, unsigned int scriptP
set_error(err, bitcoinconsensus_ERR_OK);
PrecomputedTransactionData txdata(tx);
- return VerifyScript(tx.vin[nIn].scriptSig, CScript(scriptPubKey, scriptPubKey + scriptPubKeyLen), &tx.vin[nIn].scriptWitness, flags, TransactionSignatureChecker(&tx, nIn, amount, txdata), nullptr);
+ return VerifyScript(tx.vin[nIn].scriptSig, CScript(scriptPubKey, scriptPubKey + scriptPubKeyLen), &tx.vin[nIn].scriptWitness, flags, TransactionSignatureChecker(&tx, nIn, amount, txdata, MissingDataBehavior::FAIL), nullptr);
} catch (const std::exception&) {
return set_error(err, bitcoinconsensus_ERR_TX_DESERIALIZE); // Error deserializing
}
diff --git a/src/script/bitcoinconsensus.h b/src/script/bitcoinconsensus.h
index b6939127e1..8fea42e4b9 100644
--- a/src/script/bitcoinconsensus.h
+++ b/src/script/bitcoinconsensus.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2018 The Bitcoin Core developers
+// Copyright (c) 2009-2020 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/script/descriptor.cpp b/src/script/descriptor.cpp
index 6ab01882ac..84040bf847 100644
--- a/src/script/descriptor.cpp
+++ b/src/script/descriptor.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2022 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -17,6 +17,7 @@
#include <util/vector.h>
#include <memory>
+#include <optional>
#include <string>
#include <vector>
@@ -165,7 +166,7 @@ public:
* write_cache is the cache to write keys to (if not nullptr)
* Caches are not exclusive but this is not tested. Currently we use them exclusively
*/
- virtual bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key, KeyOriginInfo& info, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) = 0;
+ virtual bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key, KeyOriginInfo& info, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) const = 0;
/** Whether this represent multiple public keys at different positions. */
virtual bool IsRange() const = 0;
@@ -180,7 +181,7 @@ public:
virtual bool ToPrivateString(const SigningProvider& arg, std::string& out) const = 0;
/** Get the descriptor string form with the xpub at the last hardened derivation */
- virtual bool ToNormalizedString(const SigningProvider& arg, std::string& out, bool priv) const = 0;
+ virtual bool ToNormalizedString(const SigningProvider& arg, std::string& out, const DescriptorCache* cache = nullptr) const = 0;
/** Derive a private key, if private data is available in arg. */
virtual bool GetPrivKey(int pos, const SigningProvider& arg, CKey& key) const = 0;
@@ -198,7 +199,7 @@ class OriginPubkeyProvider final : public PubkeyProvider
public:
OriginPubkeyProvider(uint32_t exp_index, KeyOriginInfo info, std::unique_ptr<PubkeyProvider> provider) : PubkeyProvider(exp_index), m_origin(std::move(info)), m_provider(std::move(provider)) {}
- bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key, KeyOriginInfo& info, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) override
+ bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key, KeyOriginInfo& info, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) const override
{
if (!m_provider->GetPubKey(pos, arg, key, info, read_cache, write_cache)) return false;
std::copy(std::begin(m_origin.fingerprint), std::end(m_origin.fingerprint), info.fingerprint);
@@ -215,10 +216,10 @@ public:
ret = "[" + OriginString() + "]" + std::move(sub);
return true;
}
- bool ToNormalizedString(const SigningProvider& arg, std::string& ret, bool priv) const override
+ bool ToNormalizedString(const SigningProvider& arg, std::string& ret, const DescriptorCache* cache) const override
{
std::string sub;
- if (!m_provider->ToNormalizedString(arg, sub, priv)) return false;
+ if (!m_provider->ToNormalizedString(arg, sub, cache)) return false;
// If m_provider is a BIP32PubkeyProvider, we may get a string formatted like a OriginPubkeyProvider
// In that case, we need to strip out the leading square bracket and fingerprint from the substring,
// and append that to our own origin string.
@@ -240,10 +241,11 @@ public:
class ConstPubkeyProvider final : public PubkeyProvider
{
CPubKey m_pubkey;
+ bool m_xonly;
public:
- ConstPubkeyProvider(uint32_t exp_index, const CPubKey& pubkey) : PubkeyProvider(exp_index), m_pubkey(pubkey) {}
- bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key, KeyOriginInfo& info, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) override
+ ConstPubkeyProvider(uint32_t exp_index, const CPubKey& pubkey, bool xonly) : PubkeyProvider(exp_index), m_pubkey(pubkey), m_xonly(xonly) {}
+ bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key, KeyOriginInfo& info, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) const override
{
key = m_pubkey;
info.path.clear();
@@ -253,7 +255,7 @@ public:
}
bool IsRange() const override { return false; }
size_t GetSize() const override { return m_pubkey.size(); }
- std::string ToString() const override { return HexStr(m_pubkey); }
+ std::string ToString() const override { return m_xonly ? HexStr(m_pubkey).substr(2) : HexStr(m_pubkey); }
bool ToPrivateString(const SigningProvider& arg, std::string& ret) const override
{
CKey key;
@@ -261,9 +263,8 @@ public:
ret = EncodeSecret(key);
return true;
}
- bool ToNormalizedString(const SigningProvider& arg, std::string& ret, bool priv) const override
+ bool ToNormalizedString(const SigningProvider& arg, std::string& ret, const DescriptorCache* cache) const override
{
- if (priv) return ToPrivateString(arg, ret);
ret = ToString();
return true;
}
@@ -286,9 +287,6 @@ class BIP32PubkeyProvider final : public PubkeyProvider
CExtPubKey m_root_extkey;
KeyPath m_path;
DeriveType m_derive;
- // Cache of the parent of the final derived pubkeys.
- // Primarily useful for situations when no read_cache is provided
- CExtPubKey m_cached_xpub;
bool GetExtKey(const SigningProvider& arg, CExtKey& ret) const
{
@@ -303,11 +301,14 @@ class BIP32PubkeyProvider final : public PubkeyProvider
}
// Derives the last xprv
- bool GetDerivedExtKey(const SigningProvider& arg, CExtKey& xprv) const
+ bool GetDerivedExtKey(const SigningProvider& arg, CExtKey& xprv, CExtKey& last_hardened) const
{
if (!GetExtKey(arg, xprv)) return false;
for (auto entry : m_path) {
xprv.Derive(xprv, entry);
+ if (entry >> 31) {
+ last_hardened = xprv;
+ }
}
return true;
}
@@ -325,7 +326,7 @@ public:
BIP32PubkeyProvider(uint32_t exp_index, const CExtPubKey& extkey, KeyPath path, DeriveType derive) : PubkeyProvider(exp_index), m_root_extkey(extkey), m_path(std::move(path)), m_derive(derive) {}
bool IsRange() const override { return m_derive != DeriveType::NO; }
size_t GetSize() const override { return 33; }
- bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key_out, KeyOriginInfo& final_info_out, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) override
+ bool GetPubKey(int pos, const SigningProvider& arg, CPubKey& key_out, KeyOriginInfo& final_info_out, const DescriptorCache* read_cache = nullptr, DescriptorCache* write_cache = nullptr) const override
{
// Info of parent of the to be derived pubkey
KeyOriginInfo parent_info;
@@ -341,6 +342,7 @@ public:
// Derive keys or fetch them from cache
CExtPubKey final_extkey = m_root_extkey;
CExtPubKey parent_extkey = m_root_extkey;
+ CExtPubKey last_hardened_extkey;
bool der = true;
if (read_cache) {
if (!read_cache->GetCachedDerivedExtPubKey(m_expr_index, pos, final_extkey)) {
@@ -350,16 +352,17 @@ public:
final_extkey = parent_extkey;
if (m_derive == DeriveType::UNHARDENED) der = parent_extkey.Derive(final_extkey, pos);
}
- } else if (m_cached_xpub.pubkey.IsValid() && m_derive != DeriveType::HARDENED) {
- parent_extkey = final_extkey = m_cached_xpub;
- if (m_derive == DeriveType::UNHARDENED) der = parent_extkey.Derive(final_extkey, pos);
} else if (IsHardened()) {
CExtKey xprv;
- if (!GetDerivedExtKey(arg, xprv)) return false;
+ CExtKey lh_xprv;
+ if (!GetDerivedExtKey(arg, xprv, lh_xprv)) return false;
parent_extkey = xprv.Neuter();
if (m_derive == DeriveType::UNHARDENED) der = xprv.Derive(xprv, pos);
if (m_derive == DeriveType::HARDENED) der = xprv.Derive(xprv, pos | 0x80000000UL);
final_extkey = xprv.Neuter();
+ if (lh_xprv.key.IsValid()) {
+ last_hardened_extkey = lh_xprv.Neuter();
+ }
} else {
for (auto entry : m_path) {
der = parent_extkey.Derive(parent_extkey, entry);
@@ -374,15 +377,14 @@ public:
final_info_out = final_info_out_tmp;
key_out = final_extkey.pubkey;
- // We rely on the consumer to check that m_derive isn't HARDENED as above
- // But we can't have already cached something in case we read something from the cache
- // and parent_extkey isn't actually the parent.
- if (!m_cached_xpub.pubkey.IsValid()) m_cached_xpub = parent_extkey;
-
if (write_cache) {
// Only cache parent if there is any unhardened derivation
if (m_derive != DeriveType::HARDENED) {
write_cache->CacheParentExtPubKey(m_expr_index, parent_extkey);
+ // Cache last hardened xpub if we have it
+ if (last_hardened_extkey.pubkey.IsValid()) {
+ write_cache->CacheLastHardenedExtPubKey(m_expr_index, last_hardened_extkey);
+ }
} else if (final_info_out.path.size() > 0) {
write_cache->CacheDerivedExtPubKey(m_expr_index, pos, final_extkey);
}
@@ -410,11 +412,10 @@ public:
}
return true;
}
- bool ToNormalizedString(const SigningProvider& arg, std::string& out, bool priv) const override
+ bool ToNormalizedString(const SigningProvider& arg, std::string& out, const DescriptorCache* cache) const override
{
// For hardened derivation type, just return the typical string, nothing to normalize
if (m_derive == DeriveType::HARDENED) {
- if (priv) return ToPrivateString(arg, out);
out = ToString();
return true;
}
@@ -427,33 +428,42 @@ public:
}
// Either no derivation or all unhardened derivation
if (i == -1) {
- if (priv) return ToPrivateString(arg, out);
out = ToString();
return true;
}
- // Derive the xpub at the last hardened step
- CExtKey xprv;
- if (!GetExtKey(arg, xprv)) return false;
+ // Get the path to the last hardened stup
KeyOriginInfo origin;
int k = 0;
for (; k <= i; ++k) {
- // Derive
- xprv.Derive(xprv, m_path.at(k));
// Add to the path
origin.path.push_back(m_path.at(k));
- // First derivation element, get the fingerprint for origin
- if (k == 0) {
- std::copy(xprv.vchFingerprint, xprv.vchFingerprint + 4, origin.fingerprint);
- }
}
// Build the remaining path
KeyPath end_path;
for (; k < (int)m_path.size(); ++k) {
end_path.push_back(m_path.at(k));
}
+ // Get the fingerprint
+ CKeyID id = m_root_extkey.pubkey.GetID();
+ std::copy(id.begin(), id.begin() + 4, origin.fingerprint);
+
+ CExtPubKey xpub;
+ CExtKey lh_xprv;
+ // If we have the cache, just get the parent xpub
+ if (cache != nullptr) {
+ cache->GetCachedLastHardenedExtPubKey(m_expr_index, xpub);
+ }
+ if (!xpub.pubkey.IsValid()) {
+ // Cache miss, or nor cache, or need privkey
+ CExtKey xprv;
+ if (!GetDerivedExtKey(arg, xprv, lh_xprv)) return false;
+ xpub = lh_xprv.Neuter();
+ }
+ assert(xpub.pubkey.IsValid());
+
// Build the string
std::string origin_str = HexStr(origin.fingerprint) + FormatHDKeypath(origin.path);
- out = "[" + origin_str + "]" + (priv ? EncodeExtKey(xprv) : EncodeExtPubKey(xprv.Neuter())) + FormatHDKeypath(end_path);
+ out = "[" + origin_str + "]" + EncodeExtPubKey(xpub) + FormatHDKeypath(end_path);
if (IsRange()) {
out += "/*";
assert(m_derive == DeriveType::UNHARDENED);
@@ -463,7 +473,8 @@ public:
bool GetPrivKey(int pos, const SigningProvider& arg, CKey& key) const override
{
CExtKey extkey;
- if (!GetDerivedExtKey(arg, extkey)) return false;
+ CExtKey dummy;
+ if (!GetDerivedExtKey(arg, extkey, dummy)) return false;
if (m_derive == DeriveType::UNHARDENED) extkey.Derive(extkey, pos);
if (m_derive == DeriveType::HARDENED) extkey.Derive(extkey, pos | 0x80000000UL);
key = extkey.key;
@@ -480,34 +491,43 @@ class DescriptorImpl : public Descriptor
const std::string m_name;
protected:
- //! The sub-descriptor argument (nullptr for everything but SH and WSH).
+ //! The sub-descriptor arguments (empty for everything but SH and WSH).
//! In doc/descriptors.m this is referred to as SCRIPT expressions sh(SCRIPT)
//! and wsh(SCRIPT), and distinct from KEY expressions and ADDR expressions.
- const std::unique_ptr<DescriptorImpl> m_subdescriptor_arg;
+ //! Subdescriptors can only ever generate a single script.
+ const std::vector<std::unique_ptr<DescriptorImpl>> m_subdescriptor_args;
//! Return a serialization of anything except pubkey and script arguments, to be prepended to those.
virtual std::string ToStringExtra() const { return ""; }
/** A helper function to construct the scripts for this descriptor.
*
- * This function is invoked once for every CScript produced by evaluating
- * m_subdescriptor_arg, or just once in case m_subdescriptor_arg is nullptr.
-
+ * This function is invoked once by ExpandHelper.
+ *
* @param pubkeys The evaluations of the m_pubkey_args field.
- * @param script The evaluation of m_subdescriptor_arg (or nullptr when m_subdescriptor_arg is nullptr).
+ * @param scripts The evaluations of m_subdescriptor_args (one for each m_subdescriptor_args element).
* @param out A FlatSigningProvider to put scripts or public keys in that are necessary to the solver.
- * The script arguments to this function are automatically added, as is the origin info of the provided pubkeys.
+ * The origin info of the provided pubkeys is automatically added.
* @return A vector with scriptPubKeys for this descriptor.
*/
- virtual std::vector<CScript> MakeScripts(const std::vector<CPubKey>& pubkeys, const CScript* script, FlatSigningProvider& out) const = 0;
+ virtual std::vector<CScript> MakeScripts(const std::vector<CPubKey>& pubkeys, Span<const CScript> scripts, FlatSigningProvider& out) const = 0;
public:
- DescriptorImpl(std::vector<std::unique_ptr<PubkeyProvider>> pubkeys, std::unique_ptr<DescriptorImpl> script, const std::string& name) : m_pubkey_args(std::move(pubkeys)), m_name(name), m_subdescriptor_arg(std::move(script)) {}
+ DescriptorImpl(std::vector<std::unique_ptr<PubkeyProvider>> pubkeys, const std::string& name) : m_pubkey_args(std::move(pubkeys)), m_name(name), m_subdescriptor_args() {}
+ DescriptorImpl(std::vector<std::unique_ptr<PubkeyProvider>> pubkeys, std::unique_ptr<DescriptorImpl> script, const std::string& name) : m_pubkey_args(std::move(pubkeys)), m_name(name), m_subdescriptor_args(Vector(std::move(script))) {}
+ DescriptorImpl(std::vector<std::unique_ptr<PubkeyProvider>> pubkeys, std::vector<std::unique_ptr<DescriptorImpl>> scripts, const std::string& name) : m_pubkey_args(std::move(pubkeys)), m_name(name), m_subdescriptor_args(std::move(scripts)) {}
+
+ enum class StringType
+ {
+ PUBLIC,
+ PRIVATE,
+ NORMALIZED,
+ };
bool IsSolvable() const override
{
- if (m_subdescriptor_arg) {
- if (!m_subdescriptor_arg->IsSolvable()) return false;
+ for (const auto& arg : m_subdescriptor_args) {
+ if (!arg->IsSolvable()) return false;
}
return true;
}
@@ -517,13 +537,25 @@ public:
for (const auto& pubkey : m_pubkey_args) {
if (pubkey->IsRange()) return true;
}
- if (m_subdescriptor_arg) {
- if (m_subdescriptor_arg->IsRange()) return true;
+ for (const auto& arg : m_subdescriptor_args) {
+ if (arg->IsRange()) return true;
}
return false;
}
- bool ToStringHelper(const SigningProvider* arg, std::string& out, bool priv, bool normalized) const
+ virtual bool ToStringSubScriptHelper(const SigningProvider* arg, std::string& ret, const StringType type, const DescriptorCache* cache = nullptr) const
+ {
+ size_t pos = 0;
+ for (const auto& scriptarg : m_subdescriptor_args) {
+ if (pos++) ret += ",";
+ std::string tmp;
+ if (!scriptarg->ToStringHelper(arg, tmp, type, cache)) return false;
+ ret += std::move(tmp);
+ }
+ return true;
+ }
+
+ bool ToStringHelper(const SigningProvider* arg, std::string& out, const StringType type, const DescriptorCache* cache = nullptr) const
{
std::string extra = ToStringExtra();
size_t pos = extra.size() > 0 ? 1 : 0;
@@ -531,42 +563,43 @@ public:
for (const auto& pubkey : m_pubkey_args) {
if (pos++) ret += ",";
std::string tmp;
- if (normalized) {
- if (!pubkey->ToNormalizedString(*arg, tmp, priv)) return false;
- } else if (priv) {
- if (!pubkey->ToPrivateString(*arg, tmp)) return false;
- } else {
- tmp = pubkey->ToString();
+ switch (type) {
+ case StringType::NORMALIZED:
+ if (!pubkey->ToNormalizedString(*arg, tmp, cache)) return false;
+ break;
+ case StringType::PRIVATE:
+ if (!pubkey->ToPrivateString(*arg, tmp)) return false;
+ break;
+ case StringType::PUBLIC:
+ tmp = pubkey->ToString();
+ break;
}
ret += std::move(tmp);
}
- if (m_subdescriptor_arg) {
- if (pos++) ret += ",";
- std::string tmp;
- if (!m_subdescriptor_arg->ToStringHelper(arg, tmp, priv, normalized)) return false;
- ret += std::move(tmp);
- }
- out = std::move(ret) + ")";
+ std::string subscript;
+ if (!ToStringSubScriptHelper(arg, subscript, type, cache)) return false;
+ if (pos && subscript.size()) ret += ',';
+ out = std::move(ret) + std::move(subscript) + ")";
return true;
}
std::string ToString() const final
{
std::string ret;
- ToStringHelper(nullptr, ret, false, false);
+ ToStringHelper(nullptr, ret, StringType::PUBLIC);
return AddChecksum(ret);
}
bool ToPrivateString(const SigningProvider& arg, std::string& out) const final
{
- bool ret = ToStringHelper(&arg, out, true, false);
+ bool ret = ToStringHelper(&arg, out, StringType::PRIVATE);
out = AddChecksum(out);
return ret;
}
- bool ToNormalizedString(const SigningProvider& arg, std::string& out, bool priv) const override final
+ bool ToNormalizedString(const SigningProvider& arg, std::string& out, const DescriptorCache* cache) const override final
{
- bool ret = ToStringHelper(&arg, out, priv, true);
+ bool ret = ToStringHelper(&arg, out, StringType::NORMALIZED, cache);
out = AddChecksum(out);
return ret;
}
@@ -576,17 +609,20 @@ public:
std::vector<std::pair<CPubKey, KeyOriginInfo>> entries;
entries.reserve(m_pubkey_args.size());
- // Construct temporary data in `entries` and `subscripts`, to avoid producing output in case of failure.
+ // Construct temporary data in `entries`, `subscripts`, and `subprovider` to avoid producing output in case of failure.
for (const auto& p : m_pubkey_args) {
entries.emplace_back();
if (!p->GetPubKey(pos, arg, entries.back().first, entries.back().second, read_cache, write_cache)) return false;
}
std::vector<CScript> subscripts;
- if (m_subdescriptor_arg) {
- FlatSigningProvider subprovider;
- if (!m_subdescriptor_arg->ExpandHelper(pos, arg, read_cache, subscripts, subprovider, write_cache)) return false;
- out = Merge(out, subprovider);
+ FlatSigningProvider subprovider;
+ for (const auto& subarg : m_subdescriptor_args) {
+ std::vector<CScript> outscripts;
+ if (!subarg->ExpandHelper(pos, arg, read_cache, outscripts, subprovider, write_cache)) return false;
+ assert(outscripts.size() == 1);
+ subscripts.emplace_back(std::move(outscripts[0]));
}
+ out = Merge(std::move(out), std::move(subprovider));
std::vector<CPubKey> pubkeys;
pubkeys.reserve(entries.size());
@@ -594,17 +630,8 @@ public:
pubkeys.push_back(entry.first);
out.origins.emplace(entry.first.GetID(), std::make_pair<CPubKey, KeyOriginInfo>(CPubKey(entry.first), std::move(entry.second)));
}
- if (m_subdescriptor_arg) {
- for (const auto& subscript : subscripts) {
- out.scripts.emplace(CScriptID(subscript), subscript);
- std::vector<CScript> addscripts = MakeScripts(pubkeys, &subscript, out);
- for (auto& addscript : addscripts) {
- output_scripts.push_back(std::move(addscript));
- }
- }
- } else {
- output_scripts = MakeScripts(pubkeys, nullptr, out);
- }
+
+ output_scripts = MakeScripts(pubkeys, Span{subscripts}, out);
return true;
}
@@ -625,14 +652,12 @@ public:
if (!p->GetPrivKey(pos, provider, key)) continue;
out.keys.emplace(key.GetPubKey().GetID(), key);
}
- if (m_subdescriptor_arg) {
- FlatSigningProvider subprovider;
- m_subdescriptor_arg->ExpandPrivate(pos, provider, subprovider);
- out = Merge(out, subprovider);
+ for (const auto& arg : m_subdescriptor_args) {
+ arg->ExpandPrivate(pos, provider, out);
}
}
- Optional<OutputType> GetOutputType() const override { return nullopt; }
+ std::optional<OutputType> GetOutputType() const override { return std::nullopt; }
};
/** A parsed addr(A) descriptor. */
@@ -641,22 +666,14 @@ class AddressDescriptor final : public DescriptorImpl
const CTxDestination m_destination;
protected:
std::string ToStringExtra() const override { return EncodeDestination(m_destination); }
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, const CScript*, FlatSigningProvider&) const override { return Vector(GetScriptForDestination(m_destination)); }
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, Span<const CScript>, FlatSigningProvider&) const override { return Vector(GetScriptForDestination(m_destination)); }
public:
- AddressDescriptor(CTxDestination destination) : DescriptorImpl({}, {}, "addr"), m_destination(std::move(destination)) {}
+ AddressDescriptor(CTxDestination destination) : DescriptorImpl({}, "addr"), m_destination(std::move(destination)) {}
bool IsSolvable() const final { return false; }
- Optional<OutputType> GetOutputType() const override
+ std::optional<OutputType> GetOutputType() const override
{
- switch (m_destination.index()) {
- case 1 /* PKHash */:
- case 2 /* ScriptHash */: return OutputType::LEGACY;
- case 3 /* WitnessV0ScriptHash */:
- case 4 /* WitnessV0KeyHash */:
- case 5 /* WitnessUnknown */: return OutputType::BECH32;
- case 0 /* CNoDestination */:
- default: return nullopt;
- }
+ return OutputTypeFromDestination(m_destination);
}
bool IsSingleType() const final { return true; }
};
@@ -667,24 +684,16 @@ class RawDescriptor final : public DescriptorImpl
const CScript m_script;
protected:
std::string ToStringExtra() const override { return HexStr(m_script); }
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, const CScript*, FlatSigningProvider&) const override { return Vector(m_script); }
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, Span<const CScript>, FlatSigningProvider&) const override { return Vector(m_script); }
public:
- RawDescriptor(CScript script) : DescriptorImpl({}, {}, "raw"), m_script(std::move(script)) {}
+ RawDescriptor(CScript script) : DescriptorImpl({}, "raw"), m_script(std::move(script)) {}
bool IsSolvable() const final { return false; }
- Optional<OutputType> GetOutputType() const override
+ std::optional<OutputType> GetOutputType() const override
{
CTxDestination dest;
ExtractDestination(m_script, dest);
- switch (dest.index()) {
- case 1 /* PKHash */:
- case 2 /* ScriptHash */: return OutputType::LEGACY;
- case 3 /* WitnessV0ScriptHash */:
- case 4 /* WitnessV0KeyHash */:
- case 5 /* WitnessUnknown */: return OutputType::BECH32;
- case 0 /* CNoDestination */:
- default: return nullopt;
- }
+ return OutputTypeFromDestination(dest);
}
bool IsSingleType() const final { return true; }
};
@@ -692,10 +701,20 @@ public:
/** A parsed pk(P) descriptor. */
class PKDescriptor final : public DescriptorImpl
{
+private:
+ const bool m_xonly;
protected:
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, const CScript*, FlatSigningProvider&) const override { return Vector(GetScriptForRawPubKey(keys[0])); }
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript>, FlatSigningProvider&) const override
+ {
+ if (m_xonly) {
+ CScript script = CScript() << ToByteVector(XOnlyPubKey(keys[0])) << OP_CHECKSIG;
+ return Vector(std::move(script));
+ } else {
+ return Vector(GetScriptForRawPubKey(keys[0]));
+ }
+ }
public:
- PKDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), {}, "pk") {}
+ PKDescriptor(std::unique_ptr<PubkeyProvider> prov, bool xonly = false) : DescriptorImpl(Vector(std::move(prov)), "pk"), m_xonly(xonly) {}
bool IsSingleType() const final { return true; }
};
@@ -703,15 +722,15 @@ public:
class PKHDescriptor final : public DescriptorImpl
{
protected:
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, const CScript*, FlatSigningProvider& out) const override
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript>, FlatSigningProvider& out) const override
{
CKeyID id = keys[0].GetID();
out.pubkeys.emplace(id, keys[0]);
return Vector(GetScriptForDestination(PKHash(id)));
}
public:
- PKHDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), {}, "pkh") {}
- Optional<OutputType> GetOutputType() const override { return OutputType::LEGACY; }
+ PKHDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), "pkh") {}
+ std::optional<OutputType> GetOutputType() const override { return OutputType::LEGACY; }
bool IsSingleType() const final { return true; }
};
@@ -719,15 +738,15 @@ public:
class WPKHDescriptor final : public DescriptorImpl
{
protected:
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, const CScript*, FlatSigningProvider& out) const override
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript>, FlatSigningProvider& out) const override
{
CKeyID id = keys[0].GetID();
out.pubkeys.emplace(id, keys[0]);
return Vector(GetScriptForDestination(WitnessV0KeyHash(id)));
}
public:
- WPKHDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), {}, "wpkh") {}
- Optional<OutputType> GetOutputType() const override { return OutputType::BECH32; }
+ WPKHDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), "wpkh") {}
+ std::optional<OutputType> GetOutputType() const override { return OutputType::BECH32; }
bool IsSingleType() const final { return true; }
};
@@ -735,7 +754,7 @@ public:
class ComboDescriptor final : public DescriptorImpl
{
protected:
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, const CScript*, FlatSigningProvider& out) const override
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript>, FlatSigningProvider& out) const override
{
std::vector<CScript> ret;
CKeyID id = keys[0].GetID();
@@ -751,7 +770,7 @@ protected:
return ret;
}
public:
- ComboDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), {}, "combo") {}
+ ComboDescriptor(std::unique_ptr<PubkeyProvider> prov) : DescriptorImpl(Vector(std::move(prov)), "combo") {}
bool IsSingleType() const final { return false; }
};
@@ -762,7 +781,7 @@ class MultisigDescriptor final : public DescriptorImpl
const bool m_sorted;
protected:
std::string ToStringExtra() const override { return strprintf("%i", m_threshold); }
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, const CScript*, FlatSigningProvider&) const override {
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript>, FlatSigningProvider&) const override {
if (m_sorted) {
std::vector<CPubKey> sorted_keys(keys);
std::sort(sorted_keys.begin(), sorted_keys.end());
@@ -771,7 +790,7 @@ protected:
return Vector(GetScriptForMultisig(m_threshold, keys));
}
public:
- MultisigDescriptor(int threshold, std::vector<std::unique_ptr<PubkeyProvider>> providers, bool sorted = false) : DescriptorImpl(std::move(providers), {}, sorted ? "sortedmulti" : "multi"), m_threshold(threshold), m_sorted(sorted) {}
+ MultisigDescriptor(int threshold, std::vector<std::unique_ptr<PubkeyProvider>> providers, bool sorted = false) : DescriptorImpl(std::move(providers), sorted ? "sortedmulti" : "multi"), m_threshold(threshold), m_sorted(sorted) {}
bool IsSingleType() const final { return true; }
};
@@ -779,14 +798,19 @@ public:
class SHDescriptor final : public DescriptorImpl
{
protected:
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, const CScript* script, FlatSigningProvider&) const override { return Vector(GetScriptForDestination(ScriptHash(*script))); }
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, Span<const CScript> scripts, FlatSigningProvider& out) const override
+ {
+ auto ret = Vector(GetScriptForDestination(ScriptHash(scripts[0])));
+ if (ret.size()) out.scripts.emplace(CScriptID(scripts[0]), scripts[0]);
+ return ret;
+ }
public:
SHDescriptor(std::unique_ptr<DescriptorImpl> desc) : DescriptorImpl({}, std::move(desc), "sh") {}
- Optional<OutputType> GetOutputType() const override
+ std::optional<OutputType> GetOutputType() const override
{
- assert(m_subdescriptor_arg);
- if (m_subdescriptor_arg->GetOutputType() == OutputType::BECH32) return OutputType::P2SH_SEGWIT;
+ assert(m_subdescriptor_args.size() == 1);
+ if (m_subdescriptor_args[0]->GetOutputType() == OutputType::BECH32) return OutputType::P2SH_SEGWIT;
return OutputType::LEGACY;
}
bool IsSingleType() const final { return true; }
@@ -796,10 +820,68 @@ public:
class WSHDescriptor final : public DescriptorImpl
{
protected:
- std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, const CScript* script, FlatSigningProvider&) const override { return Vector(GetScriptForDestination(WitnessV0ScriptHash(*script))); }
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>&, Span<const CScript> scripts, FlatSigningProvider& out) const override
+ {
+ auto ret = Vector(GetScriptForDestination(WitnessV0ScriptHash(scripts[0])));
+ if (ret.size()) out.scripts.emplace(CScriptID(scripts[0]), scripts[0]);
+ return ret;
+ }
public:
WSHDescriptor(std::unique_ptr<DescriptorImpl> desc) : DescriptorImpl({}, std::move(desc), "wsh") {}
- Optional<OutputType> GetOutputType() const override { return OutputType::BECH32; }
+ std::optional<OutputType> GetOutputType() const override { return OutputType::BECH32; }
+ bool IsSingleType() const final { return true; }
+};
+
+/** A parsed tr(...) descriptor. */
+class TRDescriptor final : public DescriptorImpl
+{
+ std::vector<int> m_depths;
+protected:
+ std::vector<CScript> MakeScripts(const std::vector<CPubKey>& keys, Span<const CScript> scripts, FlatSigningProvider& out) const override
+ {
+ TaprootBuilder builder;
+ assert(m_depths.size() == scripts.size());
+ for (size_t pos = 0; pos < m_depths.size(); ++pos) {
+ builder.Add(m_depths[pos], scripts[pos], TAPROOT_LEAF_TAPSCRIPT);
+ }
+ if (!builder.IsComplete()) return {};
+ assert(keys.size() == 1);
+ XOnlyPubKey xpk(keys[0]);
+ if (!xpk.IsFullyValid()) return {};
+ builder.Finalize(xpk);
+ WitnessV1Taproot output = builder.GetOutput();
+ out.tr_spenddata[output].Merge(builder.GetSpendData());
+ out.pubkeys.emplace(keys[0].GetID(), keys[0]);
+ return Vector(GetScriptForDestination(output));
+ }
+ bool ToStringSubScriptHelper(const SigningProvider* arg, std::string& ret, const StringType type, const DescriptorCache* cache = nullptr) const override
+ {
+ if (m_depths.empty()) return true;
+ std::vector<bool> path;
+ for (size_t pos = 0; pos < m_depths.size(); ++pos) {
+ if (pos) ret += ',';
+ while ((int)path.size() <= m_depths[pos]) {
+ if (path.size()) ret += '{';
+ path.push_back(false);
+ }
+ std::string tmp;
+ if (!m_subdescriptor_args[pos]->ToStringHelper(arg, tmp, type, cache)) return false;
+ ret += std::move(tmp);
+ while (!path.empty() && path.back()) {
+ if (path.size() > 1) ret += '}';
+ path.pop_back();
+ }
+ if (!path.empty()) path.back() = true;
+ }
+ return true;
+ }
+public:
+ TRDescriptor(std::unique_ptr<PubkeyProvider> internal_key, std::vector<std::unique_ptr<DescriptorImpl>> descs, std::vector<int> depths) :
+ DescriptorImpl(Vector(std::move(internal_key)), std::move(descs), "tr"), m_depths(std::move(depths))
+ {
+ assert(m_subdescriptor_args.size() == m_depths.size());
+ }
+ std::optional<OutputType> GetOutputType() const override { return OutputType::BECH32M; }
bool IsSingleType() const final { return true; }
};
@@ -808,9 +890,11 @@ public:
////////////////////////////////////////////////////////////////////////////
enum class ParseScriptContext {
- TOP,
- P2SH,
- P2WSH,
+ TOP, //!< Top-level context (script goes directly in scriptPubKey)
+ P2SH, //!< Inside sh() (script becomes P2SH redeemScript)
+ P2WPKH, //!< Inside wpkh() (no script, pubkey only)
+ P2WSH, //!< Inside wsh() (script becomes v0 witness script)
+ P2TR, //!< Inside tr() (either internal key, or BIP342 script leaf)
};
/** Parse a key path, being passed a split list of elements (the first element is ignored). */
@@ -837,10 +921,11 @@ enum class ParseScriptContext {
}
/** Parse a public key that excludes origin information. */
-std::unique_ptr<PubkeyProvider> ParsePubkeyInner(uint32_t key_exp_index, const Span<const char>& sp, bool permit_uncompressed, FlatSigningProvider& out, std::string& error)
+std::unique_ptr<PubkeyProvider> ParsePubkeyInner(uint32_t key_exp_index, const Span<const char>& sp, ParseScriptContext ctx, FlatSigningProvider& out, std::string& error)
{
using namespace spanparsing;
+ bool permit_uncompressed = ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH;
auto split = Split(sp, '/');
std::string str(split[0].begin(), split[0].end());
if (str.size() == 0) {
@@ -853,11 +938,18 @@ std::unique_ptr<PubkeyProvider> ParsePubkeyInner(uint32_t key_exp_index, const S
CPubKey pubkey(data);
if (pubkey.IsFullyValid()) {
if (permit_uncompressed || pubkey.IsCompressed()) {
- return MakeUnique<ConstPubkeyProvider>(key_exp_index, pubkey);
+ return std::make_unique<ConstPubkeyProvider>(key_exp_index, pubkey, false);
} else {
error = "Uncompressed keys are not allowed";
return nullptr;
}
+ } else if (data.size() == 32 && ctx == ParseScriptContext::P2TR) {
+ unsigned char fullkey[33] = {0x02};
+ std::copy(data.begin(), data.end(), fullkey + 1);
+ pubkey.Set(std::begin(fullkey), std::end(fullkey));
+ if (pubkey.IsFullyValid()) {
+ return std::make_unique<ConstPubkeyProvider>(key_exp_index, pubkey, true);
+ }
}
error = strprintf("Pubkey '%s' is invalid", str);
return nullptr;
@@ -867,7 +959,7 @@ std::unique_ptr<PubkeyProvider> ParsePubkeyInner(uint32_t key_exp_index, const S
if (permit_uncompressed || key.IsCompressed()) {
CPubKey pubkey = key.GetPubKey();
out.keys.emplace(pubkey.GetID(), key);
- return MakeUnique<ConstPubkeyProvider>(key_exp_index, pubkey);
+ return std::make_unique<ConstPubkeyProvider>(key_exp_index, pubkey, ctx == ParseScriptContext::P2TR);
} else {
error = "Uncompressed keys are not allowed";
return nullptr;
@@ -882,10 +974,10 @@ std::unique_ptr<PubkeyProvider> ParsePubkeyInner(uint32_t key_exp_index, const S
}
KeyPath path;
DeriveType type = DeriveType::NO;
- if (split.back() == MakeSpan("*").first(1)) {
+ if (split.back() == Span{"*"}.first(1)) {
split.pop_back();
type = DeriveType::UNHARDENED;
- } else if (split.back() == MakeSpan("*'").first(2) || split.back() == MakeSpan("*h").first(2)) {
+ } else if (split.back() == Span{"*'"}.first(2) || split.back() == Span{"*h"}.first(2)) {
split.pop_back();
type = DeriveType::HARDENED;
}
@@ -894,11 +986,11 @@ std::unique_ptr<PubkeyProvider> ParsePubkeyInner(uint32_t key_exp_index, const S
extpubkey = extkey.Neuter();
out.keys.emplace(extpubkey.pubkey.GetID(), extkey.key);
}
- return MakeUnique<BIP32PubkeyProvider>(key_exp_index, extpubkey, std::move(path), type);
+ return std::make_unique<BIP32PubkeyProvider>(key_exp_index, extpubkey, std::move(path), type);
}
/** Parse a public key including origin information (if enabled). */
-std::unique_ptr<PubkeyProvider> ParsePubkey(uint32_t key_exp_index, const Span<const char>& sp, bool permit_uncompressed, FlatSigningProvider& out, std::string& error)
+std::unique_ptr<PubkeyProvider> ParsePubkey(uint32_t key_exp_index, const Span<const char>& sp, ParseScriptContext ctx, FlatSigningProvider& out, std::string& error)
{
using namespace spanparsing;
@@ -907,7 +999,7 @@ std::unique_ptr<PubkeyProvider> ParsePubkey(uint32_t key_exp_index, const Span<c
error = "Multiple ']' characters found for a single pubkey";
return nullptr;
}
- if (origin_split.size() == 1) return ParsePubkeyInner(key_exp_index, origin_split[0], permit_uncompressed, out, error);
+ if (origin_split.size() == 1) return ParsePubkeyInner(key_exp_index, origin_split[0], ctx, out, error);
if (origin_split[0].empty() || origin_split[0][0] != '[') {
error = strprintf("Key origin start '[ character expected but not found, got '%c' instead",
origin_split[0].empty() ? /** empty, implies split char */ ']' : origin_split[0][0]);
@@ -929,37 +1021,43 @@ std::unique_ptr<PubkeyProvider> ParsePubkey(uint32_t key_exp_index, const Span<c
assert(fpr_bytes.size() == 4);
std::copy(fpr_bytes.begin(), fpr_bytes.end(), info.fingerprint);
if (!ParseKeyPath(slash_split, info.path, error)) return nullptr;
- auto provider = ParsePubkeyInner(key_exp_index, origin_split[1], permit_uncompressed, out, error);
+ auto provider = ParsePubkeyInner(key_exp_index, origin_split[1], ctx, out, error);
if (!provider) return nullptr;
- return MakeUnique<OriginPubkeyProvider>(key_exp_index, std::move(info), std::move(provider));
+ return std::make_unique<OriginPubkeyProvider>(key_exp_index, std::move(info), std::move(provider));
}
/** Parse a script in a particular context. */
-std::unique_ptr<DescriptorImpl> ParseScript(uint32_t key_exp_index, Span<const char>& sp, ParseScriptContext ctx, FlatSigningProvider& out, std::string& error)
+std::unique_ptr<DescriptorImpl> ParseScript(uint32_t& key_exp_index, Span<const char>& sp, ParseScriptContext ctx, FlatSigningProvider& out, std::string& error)
{
using namespace spanparsing;
auto expr = Expr(sp);
bool sorted_multi = false;
if (Func("pk", expr)) {
- auto pubkey = ParsePubkey(key_exp_index, expr, ctx != ParseScriptContext::P2WSH, out, error);
+ auto pubkey = ParsePubkey(key_exp_index, expr, ctx, out, error);
if (!pubkey) return nullptr;
- return MakeUnique<PKDescriptor>(std::move(pubkey));
+ ++key_exp_index;
+ return std::make_unique<PKDescriptor>(std::move(pubkey), ctx == ParseScriptContext::P2TR);
}
- if (Func("pkh", expr)) {
- auto pubkey = ParsePubkey(key_exp_index, expr, ctx != ParseScriptContext::P2WSH, out, error);
+ if ((ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH || ctx == ParseScriptContext::P2WSH) && Func("pkh", expr)) {
+ auto pubkey = ParsePubkey(key_exp_index, expr, ctx, out, error);
if (!pubkey) return nullptr;
- return MakeUnique<PKHDescriptor>(std::move(pubkey));
+ ++key_exp_index;
+ return std::make_unique<PKHDescriptor>(std::move(pubkey));
+ } else if (Func("pkh", expr)) {
+ error = "Can only have pkh at top level, in sh(), or in wsh()";
+ return nullptr;
}
if (ctx == ParseScriptContext::TOP && Func("combo", expr)) {
- auto pubkey = ParsePubkey(key_exp_index, expr, true, out, error);
+ auto pubkey = ParsePubkey(key_exp_index, expr, ctx, out, error);
if (!pubkey) return nullptr;
- return MakeUnique<ComboDescriptor>(std::move(pubkey));
- } else if (ctx != ParseScriptContext::TOP && Func("combo", expr)) {
- error = "Cannot have combo in non-top level";
+ ++key_exp_index;
+ return std::make_unique<ComboDescriptor>(std::move(pubkey));
+ } else if (Func("combo", expr)) {
+ error = "Can only have combo() at top level";
return nullptr;
}
- if ((sorted_multi = Func("sortedmulti", expr)) || Func("multi", expr)) {
+ if ((ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH || ctx == ParseScriptContext::P2WSH) && ((sorted_multi = Func("sortedmulti", expr)) || Func("multi", expr))) {
auto threshold = Expr(expr);
uint32_t thres;
std::vector<std::unique_ptr<PubkeyProvider>> providers;
@@ -974,14 +1072,14 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t key_exp_index, Span<const c
return nullptr;
}
auto arg = Expr(expr);
- auto pk = ParsePubkey(key_exp_index, arg, ctx != ParseScriptContext::P2WSH, out, error);
+ auto pk = ParsePubkey(key_exp_index, arg, ctx, out, error);
if (!pk) return nullptr;
script_size += pk->GetSize() + 1;
providers.emplace_back(std::move(pk));
key_exp_index++;
}
- if (providers.empty() || providers.size() > 16) {
- error = strprintf("Cannot have %u keys in multisig; must have between 1 and 16 keys, inclusive", providers.size());
+ if (providers.empty() || providers.size() > MAX_PUBKEYS_PER_MULTISIG) {
+ error = strprintf("Cannot have %u keys in multisig; must have between 1 and %d keys, inclusive", providers.size(), MAX_PUBKEYS_PER_MULTISIG);
return nullptr;
} else if (thres < 1) {
error = strprintf("Multisig threshold cannot be %d, must be at least 1", thres);
@@ -997,35 +1095,40 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t key_exp_index, Span<const c
}
}
if (ctx == ParseScriptContext::P2SH) {
+ // This limits the maximum number of compressed pubkeys to 15.
if (script_size + 3 > MAX_SCRIPT_ELEMENT_SIZE) {
error = strprintf("P2SH script is too large, %d bytes is larger than %d bytes", script_size + 3, MAX_SCRIPT_ELEMENT_SIZE);
return nullptr;
}
}
- return MakeUnique<MultisigDescriptor>(thres, std::move(providers), sorted_multi);
+ return std::make_unique<MultisigDescriptor>(thres, std::move(providers), sorted_multi);
+ } else if (Func("sortedmulti", expr) || Func("multi", expr)) {
+ error = "Can only have multi/sortedmulti at top level, in sh(), or in wsh()";
+ return nullptr;
}
- if (ctx != ParseScriptContext::P2WSH && Func("wpkh", expr)) {
- auto pubkey = ParsePubkey(key_exp_index, expr, false, out, error);
+ if ((ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH) && Func("wpkh", expr)) {
+ auto pubkey = ParsePubkey(key_exp_index, expr, ParseScriptContext::P2WPKH, out, error);
if (!pubkey) return nullptr;
- return MakeUnique<WPKHDescriptor>(std::move(pubkey));
- } else if (ctx == ParseScriptContext::P2WSH && Func("wpkh", expr)) {
- error = "Cannot have wpkh within wsh";
+ key_exp_index++;
+ return std::make_unique<WPKHDescriptor>(std::move(pubkey));
+ } else if (Func("wpkh", expr)) {
+ error = "Can only have wpkh() at top level or inside sh()";
return nullptr;
}
if (ctx == ParseScriptContext::TOP && Func("sh", expr)) {
auto desc = ParseScript(key_exp_index, expr, ParseScriptContext::P2SH, out, error);
if (!desc || expr.size()) return nullptr;
- return MakeUnique<SHDescriptor>(std::move(desc));
- } else if (ctx != ParseScriptContext::TOP && Func("sh", expr)) {
- error = "Cannot have sh in non-top level";
+ return std::make_unique<SHDescriptor>(std::move(desc));
+ } else if (Func("sh", expr)) {
+ error = "Can only have sh() at top level";
return nullptr;
}
- if (ctx != ParseScriptContext::P2WSH && Func("wsh", expr)) {
+ if ((ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH) && Func("wsh", expr)) {
auto desc = ParseScript(key_exp_index, expr, ParseScriptContext::P2WSH, out, error);
if (!desc || expr.size()) return nullptr;
- return MakeUnique<WSHDescriptor>(std::move(desc));
- } else if (ctx == ParseScriptContext::P2WSH && Func("wsh", expr)) {
- error = "Cannot have wsh within wsh";
+ return std::make_unique<WSHDescriptor>(std::move(desc));
+ } else if (Func("wsh", expr)) {
+ error = "Can only have wsh() at top level or inside sh()";
return nullptr;
}
if (ctx == ParseScriptContext::TOP && Func("addr", expr)) {
@@ -1034,7 +1137,71 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t key_exp_index, Span<const c
error = "Address is not valid";
return nullptr;
}
- return MakeUnique<AddressDescriptor>(std::move(dest));
+ return std::make_unique<AddressDescriptor>(std::move(dest));
+ } else if (Func("addr", expr)) {
+ error = "Can only have addr() at top level";
+ return nullptr;
+ }
+ if (ctx == ParseScriptContext::TOP && Func("tr", expr)) {
+ auto arg = Expr(expr);
+ auto internal_key = ParsePubkey(key_exp_index, arg, ParseScriptContext::P2TR, out, error);
+ if (!internal_key) return nullptr;
+ ++key_exp_index;
+ std::vector<std::unique_ptr<DescriptorImpl>> subscripts; //!< list of script subexpressions
+ std::vector<int> depths; //!< depth in the tree of each subexpression (same length subscripts)
+ if (expr.size()) {
+ if (!Const(",", expr)) {
+ error = strprintf("tr: expected ',', got '%c'", expr[0]);
+ return nullptr;
+ }
+ /** The path from the top of the tree to what we're currently processing.
+ * branches[i] == false: left branch in the i'th step from the top; true: right branch.
+ */
+ std::vector<bool> branches;
+ // Loop over all provided scripts. In every iteration exactly one script will be processed.
+ // Use a do-loop because inside this if-branch we expect at least one script.
+ do {
+ // First process all open braces.
+ while (Const("{", expr)) {
+ branches.push_back(false); // new left branch
+ if (branches.size() > TAPROOT_CONTROL_MAX_NODE_COUNT) {
+ error = strprintf("tr() supports at most %i nesting levels", TAPROOT_CONTROL_MAX_NODE_COUNT);
+ return nullptr;
+ }
+ }
+ // Process the actual script expression.
+ auto sarg = Expr(expr);
+ subscripts.emplace_back(ParseScript(key_exp_index, sarg, ParseScriptContext::P2TR, out, error));
+ if (!subscripts.back()) return nullptr;
+ depths.push_back(branches.size());
+ // Process closing braces; one is expected for every right branch we were in.
+ while (branches.size() && branches.back()) {
+ if (!Const("}", expr)) {
+ error = strprintf("tr(): expected '}' after script expression");
+ return nullptr;
+ }
+ branches.pop_back(); // move up one level after encountering '}'
+ }
+ // If after that, we're at the end of a left branch, expect a comma.
+ if (branches.size() && !branches.back()) {
+ if (!Const(",", expr)) {
+ error = strprintf("tr(): expected ',' after script expression");
+ return nullptr;
+ }
+ branches.back() = true; // And now we're in a right branch.
+ }
+ } while (branches.size());
+ // After we've explored a whole tree, we must be at the end of the expression.
+ if (expr.size()) {
+ error = strprintf("tr(): expected ')' after script expression");
+ return nullptr;
+ }
+ }
+ assert(TaprootBuilder::ValidDepths(depths));
+ return std::make_unique<TRDescriptor>(std::move(internal_key), std::move(subscripts), std::move(depths));
+ } else if (Func("tr", expr)) {
+ error = "Can only have tr at top level";
+ return nullptr;
}
if (ctx == ParseScriptContext::TOP && Func("raw", expr)) {
std::string str(expr.begin(), expr.end());
@@ -1043,7 +1210,10 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t key_exp_index, Span<const c
return nullptr;
}
auto bytes = ParseHex(str);
- return MakeUnique<RawDescriptor>(CScript(bytes.begin(), bytes.end()));
+ return std::make_unique<RawDescriptor>(CScript(bytes.begin(), bytes.end()));
+ } else if (Func("raw", expr)) {
+ error = "Can only have raw() at top level";
+ return nullptr;
}
if (ctx == ParseScriptContext::P2SH) {
error = "A function is needed within P2SH";
@@ -1052,54 +1222,72 @@ std::unique_ptr<DescriptorImpl> ParseScript(uint32_t key_exp_index, Span<const c
error = "A function is needed within P2WSH";
return nullptr;
}
- error = strprintf("%s is not a valid descriptor function", std::string(expr.begin(), expr.end()));
+ error = strprintf("'%s' is not a valid descriptor function", std::string(expr.begin(), expr.end()));
return nullptr;
}
std::unique_ptr<PubkeyProvider> InferPubkey(const CPubKey& pubkey, ParseScriptContext, const SigningProvider& provider)
{
- std::unique_ptr<PubkeyProvider> key_provider = MakeUnique<ConstPubkeyProvider>(0, pubkey);
+ std::unique_ptr<PubkeyProvider> key_provider = std::make_unique<ConstPubkeyProvider>(0, pubkey, false);
KeyOriginInfo info;
if (provider.GetKeyOrigin(pubkey.GetID(), info)) {
- return MakeUnique<OriginPubkeyProvider>(0, std::move(info), std::move(key_provider));
+ return std::make_unique<OriginPubkeyProvider>(0, std::move(info), std::move(key_provider));
+ }
+ return key_provider;
+}
+
+std::unique_ptr<PubkeyProvider> InferXOnlyPubkey(const XOnlyPubKey& xkey, ParseScriptContext ctx, const SigningProvider& provider)
+{
+ unsigned char full_key[CPubKey::COMPRESSED_SIZE] = {0x02};
+ std::copy(xkey.begin(), xkey.end(), full_key + 1);
+ CPubKey pubkey(full_key);
+ std::unique_ptr<PubkeyProvider> key_provider = std::make_unique<ConstPubkeyProvider>(0, pubkey, true);
+ KeyOriginInfo info;
+ if (provider.GetKeyOriginByXOnly(xkey, info)) {
+ return std::make_unique<OriginPubkeyProvider>(0, std::move(info), std::move(key_provider));
}
return key_provider;
}
std::unique_ptr<DescriptorImpl> InferScript(const CScript& script, ParseScriptContext ctx, const SigningProvider& provider)
{
+ if (ctx == ParseScriptContext::P2TR && script.size() == 34 && script[0] == 32 && script[33] == OP_CHECKSIG) {
+ XOnlyPubKey key{Span{script}.subspan(1, 32)};
+ return std::make_unique<PKDescriptor>(InferXOnlyPubkey(key, ctx, provider));
+ }
+
std::vector<std::vector<unsigned char>> data;
TxoutType txntype = Solver(script, data);
- if (txntype == TxoutType::PUBKEY) {
- CPubKey pubkey(data[0].begin(), data[0].end());
+ if (txntype == TxoutType::PUBKEY && (ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH || ctx == ParseScriptContext::P2WSH)) {
+ CPubKey pubkey(data[0]);
if (pubkey.IsValid()) {
- return MakeUnique<PKDescriptor>(InferPubkey(pubkey, ctx, provider));
+ return std::make_unique<PKDescriptor>(InferPubkey(pubkey, ctx, provider));
}
}
- if (txntype == TxoutType::PUBKEYHASH) {
+ if (txntype == TxoutType::PUBKEYHASH && (ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH || ctx == ParseScriptContext::P2WSH)) {
uint160 hash(data[0]);
CKeyID keyid(hash);
CPubKey pubkey;
if (provider.GetPubKey(keyid, pubkey)) {
- return MakeUnique<PKHDescriptor>(InferPubkey(pubkey, ctx, provider));
+ return std::make_unique<PKHDescriptor>(InferPubkey(pubkey, ctx, provider));
}
}
- if (txntype == TxoutType::WITNESS_V0_KEYHASH && ctx != ParseScriptContext::P2WSH) {
+ if (txntype == TxoutType::WITNESS_V0_KEYHASH && (ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH)) {
uint160 hash(data[0]);
CKeyID keyid(hash);
CPubKey pubkey;
if (provider.GetPubKey(keyid, pubkey)) {
- return MakeUnique<WPKHDescriptor>(InferPubkey(pubkey, ctx, provider));
+ return std::make_unique<WPKHDescriptor>(InferPubkey(pubkey, ctx, provider));
}
}
- if (txntype == TxoutType::MULTISIG) {
+ if (txntype == TxoutType::MULTISIG && (ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH || ctx == ParseScriptContext::P2WSH)) {
std::vector<std::unique_ptr<PubkeyProvider>> providers;
for (size_t i = 1; i + 1 < data.size(); ++i) {
- CPubKey pubkey(data[i].begin(), data[i].end());
+ CPubKey pubkey(data[i]);
providers.push_back(InferPubkey(pubkey, ctx, provider));
}
- return MakeUnique<MultisigDescriptor>((int)data[0][0], std::move(providers));
+ return std::make_unique<MultisigDescriptor>((int)data[0][0], std::move(providers));
}
if (txntype == TxoutType::SCRIPTHASH && ctx == ParseScriptContext::TOP) {
uint160 hash(data[0]);
@@ -1107,27 +1295,61 @@ std::unique_ptr<DescriptorImpl> InferScript(const CScript& script, ParseScriptCo
CScript subscript;
if (provider.GetCScript(scriptid, subscript)) {
auto sub = InferScript(subscript, ParseScriptContext::P2SH, provider);
- if (sub) return MakeUnique<SHDescriptor>(std::move(sub));
+ if (sub) return std::make_unique<SHDescriptor>(std::move(sub));
}
}
- if (txntype == TxoutType::WITNESS_V0_SCRIPTHASH && ctx != ParseScriptContext::P2WSH) {
+ if (txntype == TxoutType::WITNESS_V0_SCRIPTHASH && (ctx == ParseScriptContext::TOP || ctx == ParseScriptContext::P2SH)) {
CScriptID scriptid;
CRIPEMD160().Write(data[0].data(), data[0].size()).Finalize(scriptid.begin());
CScript subscript;
if (provider.GetCScript(scriptid, subscript)) {
auto sub = InferScript(subscript, ParseScriptContext::P2WSH, provider);
- if (sub) return MakeUnique<WSHDescriptor>(std::move(sub));
+ if (sub) return std::make_unique<WSHDescriptor>(std::move(sub));
+ }
+ }
+ if (txntype == TxoutType::WITNESS_V1_TAPROOT && ctx == ParseScriptContext::TOP) {
+ // Extract x-only pubkey from output.
+ XOnlyPubKey pubkey;
+ std::copy(data[0].begin(), data[0].end(), pubkey.begin());
+ // Request spending data.
+ TaprootSpendData tap;
+ if (provider.GetTaprootSpendData(pubkey, tap)) {
+ // If found, convert it back to tree form.
+ auto tree = InferTaprootTree(tap, pubkey);
+ if (tree) {
+ // If that works, try to infer subdescriptors for all leaves.
+ bool ok = true;
+ std::vector<std::unique_ptr<DescriptorImpl>> subscripts; //!< list of script subexpressions
+ std::vector<int> depths; //!< depth in the tree of each subexpression (same length subscripts)
+ for (const auto& [depth, script, leaf_ver] : *tree) {
+ std::unique_ptr<DescriptorImpl> subdesc;
+ if (leaf_ver == TAPROOT_LEAF_TAPSCRIPT) {
+ subdesc = InferScript(script, ParseScriptContext::P2TR, provider);
+ }
+ if (!subdesc) {
+ ok = false;
+ break;
+ } else {
+ subscripts.push_back(std::move(subdesc));
+ depths.push_back(depth);
+ }
+ }
+ if (ok) {
+ auto key = InferXOnlyPubkey(tap.internal_key, ParseScriptContext::P2TR, provider);
+ return std::make_unique<TRDescriptor>(std::move(key), std::move(subscripts), std::move(depths));
+ }
+ }
}
}
CTxDestination dest;
if (ExtractDestination(script, dest)) {
if (GetScriptForDestination(dest) == script) {
- return MakeUnique<AddressDescriptor>(std::move(dest));
+ return std::make_unique<AddressDescriptor>(std::move(dest));
}
}
- return MakeUnique<RawDescriptor>(script);
+ return std::make_unique<RawDescriptor>(script);
}
@@ -1173,7 +1395,8 @@ std::unique_ptr<Descriptor> Parse(const std::string& descriptor, FlatSigningProv
{
Span<const char> sp{descriptor};
if (!CheckChecksum(sp, require_checksum, error)) return nullptr;
- auto ret = ParseScript(0, sp, ParseScriptContext::TOP, out, error);
+ uint32_t key_exp_index = 0;
+ auto ret = ParseScript(key_exp_index, sp, ParseScriptContext::TOP, out, error);
if (sp.size() == 0 && ret) return std::unique_ptr<Descriptor>(std::move(ret));
return nullptr;
}
@@ -1203,6 +1426,11 @@ void DescriptorCache::CacheDerivedExtPubKey(uint32_t key_exp_pos, uint32_t der_i
xpubs[der_index] = xpub;
}
+void DescriptorCache::CacheLastHardenedExtPubKey(uint32_t key_exp_pos, const CExtPubKey& xpub)
+{
+ m_last_hardened_xpubs[key_exp_pos] = xpub;
+}
+
bool DescriptorCache::GetCachedParentExtPubKey(uint32_t key_exp_pos, CExtPubKey& xpub) const
{
const auto& it = m_parent_xpubs.find(key_exp_pos);
@@ -1221,6 +1449,55 @@ bool DescriptorCache::GetCachedDerivedExtPubKey(uint32_t key_exp_pos, uint32_t d
return true;
}
+bool DescriptorCache::GetCachedLastHardenedExtPubKey(uint32_t key_exp_pos, CExtPubKey& xpub) const
+{
+ const auto& it = m_last_hardened_xpubs.find(key_exp_pos);
+ if (it == m_last_hardened_xpubs.end()) return false;
+ xpub = it->second;
+ return true;
+}
+
+DescriptorCache DescriptorCache::MergeAndDiff(const DescriptorCache& other)
+{
+ DescriptorCache diff;
+ for (const auto& parent_xpub_pair : other.GetCachedParentExtPubKeys()) {
+ CExtPubKey xpub;
+ if (GetCachedParentExtPubKey(parent_xpub_pair.first, xpub)) {
+ if (xpub != parent_xpub_pair.second) {
+ throw std::runtime_error(std::string(__func__) + ": New cached parent xpub does not match already cached parent xpub");
+ }
+ continue;
+ }
+ CacheParentExtPubKey(parent_xpub_pair.first, parent_xpub_pair.second);
+ diff.CacheParentExtPubKey(parent_xpub_pair.first, parent_xpub_pair.second);
+ }
+ for (const auto& derived_xpub_map_pair : other.GetCachedDerivedExtPubKeys()) {
+ for (const auto& derived_xpub_pair : derived_xpub_map_pair.second) {
+ CExtPubKey xpub;
+ if (GetCachedDerivedExtPubKey(derived_xpub_map_pair.first, derived_xpub_pair.first, xpub)) {
+ if (xpub != derived_xpub_pair.second) {
+ throw std::runtime_error(std::string(__func__) + ": New cached derived xpub does not match already cached derived xpub");
+ }
+ continue;
+ }
+ CacheDerivedExtPubKey(derived_xpub_map_pair.first, derived_xpub_pair.first, derived_xpub_pair.second);
+ diff.CacheDerivedExtPubKey(derived_xpub_map_pair.first, derived_xpub_pair.first, derived_xpub_pair.second);
+ }
+ }
+ for (const auto& lh_xpub_pair : other.GetCachedLastHardenedExtPubKeys()) {
+ CExtPubKey xpub;
+ if (GetCachedLastHardenedExtPubKey(lh_xpub_pair.first, xpub)) {
+ if (xpub != lh_xpub_pair.second) {
+ throw std::runtime_error(std::string(__func__) + ": New cached last hardened xpub does not match already cached last hardened xpub");
+ }
+ continue;
+ }
+ CacheLastHardenedExtPubKey(lh_xpub_pair.first, lh_xpub_pair.second);
+ diff.CacheLastHardenedExtPubKey(lh_xpub_pair.first, lh_xpub_pair.second);
+ }
+ return diff;
+}
+
const ExtPubKeyMap DescriptorCache::GetCachedParentExtPubKeys() const
{
return m_parent_xpubs;
@@ -1230,3 +1507,8 @@ const std::unordered_map<uint32_t, ExtPubKeyMap> DescriptorCache::GetCachedDeriv
{
return m_derived_xpubs;
}
+
+const ExtPubKeyMap DescriptorCache::GetCachedLastHardenedExtPubKeys() const
+{
+ return m_last_hardened_xpubs;
+}
diff --git a/src/script/descriptor.h b/src/script/descriptor.h
index 46d51fa587..16ee2f6d97 100644
--- a/src/script/descriptor.h
+++ b/src/script/descriptor.h
@@ -1,16 +1,16 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_SCRIPT_DESCRIPTOR_H
#define BITCOIN_SCRIPT_DESCRIPTOR_H
-#include <optional.h>
#include <outputtype.h>
#include <script/script.h>
#include <script/sign.h>
#include <script/signingprovider.h>
+#include <optional>
#include <vector>
using ExtPubKeyMap = std::unordered_map<uint32_t, CExtPubKey>;
@@ -22,6 +22,8 @@ private:
std::unordered_map<uint32_t, ExtPubKeyMap> m_derived_xpubs;
/** Map key expression index -> parent xpub */
ExtPubKeyMap m_parent_xpubs;
+ /** Map key expression index -> last hardened xpub */
+ ExtPubKeyMap m_last_hardened_xpubs;
public:
/** Cache a parent xpub
@@ -50,11 +52,30 @@ public:
* @param[in] xpub The CExtPubKey to get from cache
*/
bool GetCachedDerivedExtPubKey(uint32_t key_exp_pos, uint32_t der_index, CExtPubKey& xpub) const;
+ /** Cache a last hardened xpub
+ *
+ * @param[in] key_exp_pos Position of the key expression within the descriptor
+ * @param[in] xpub The CExtPubKey to cache
+ */
+ void CacheLastHardenedExtPubKey(uint32_t key_exp_pos, const CExtPubKey& xpub);
+ /** Retrieve a cached last hardened xpub
+ *
+ * @param[in] key_exp_pos Position of the key expression within the descriptor
+ * @param[in] xpub The CExtPubKey to get from cache
+ */
+ bool GetCachedLastHardenedExtPubKey(uint32_t key_exp_pos, CExtPubKey& xpub) const;
/** Retrieve all cached parent xpubs */
const ExtPubKeyMap GetCachedParentExtPubKeys() const;
/** Retrieve all cached derived xpubs */
const std::unordered_map<uint32_t, ExtPubKeyMap> GetCachedDerivedExtPubKeys() const;
+ /** Retrieve all cached last hardened xpubs */
+ const ExtPubKeyMap GetCachedLastHardenedExtPubKeys() const;
+
+ /** Combine another DescriptorCache into this one.
+ * Returns a cache containing the items from the other cache unknown to current cache
+ */
+ DescriptorCache MergeAndDiff(const DescriptorCache& other);
};
/** \brief Interface for parsed descriptor objects.
@@ -94,7 +115,7 @@ struct Descriptor {
virtual bool ToPrivateString(const SigningProvider& provider, std::string& out) const = 0;
/** Convert the descriptor to a normalized string. Normalized descriptors have the xpub at the last hardened step. This fails if the provided provider does not have the private keys to derive that xpub. */
- virtual bool ToNormalizedString(const SigningProvider& provider, std::string& out, bool priv) const = 0;
+ virtual bool ToNormalizedString(const SigningProvider& provider, std::string& out, const DescriptorCache* cache = nullptr) const = 0;
/** Expand a descriptor at a specified position.
*
@@ -124,7 +145,7 @@ struct Descriptor {
virtual void ExpandPrivate(int pos, const SigningProvider& provider, FlatSigningProvider& out) const = 0;
/** @return The OutputType of the scriptPubKey(s) produced by this descriptor. Or nullopt if indeterminate (multiple or none) */
- virtual Optional<OutputType> GetOutputType() const = 0;
+ virtual std::optional<OutputType> GetOutputType() const = 0;
};
/** Parse a `descriptor` string. Included private keys are put in `out`.
diff --git a/src/script/interpreter.cpp b/src/script/interpreter.cpp
index 20a4ce48b0..11b1a1c887 100644
--- a/src/script/interpreter.cpp
+++ b/src/script/interpreter.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -225,7 +225,7 @@ bool static CheckPubKeyEncoding(const valtype &vchPubKey, unsigned int flags, co
return true;
}
-bool static CheckMinimalPush(const valtype& data, opcodetype opcode) {
+bool CheckMinimalPush(const valtype& data, opcodetype opcode) {
// Excludes OP_1NEGATE, OP_1-16 since they are by definition minimal
assert(0 <= opcode && opcode <= OP_PUSHDATA4);
if (data.size() == 0) {
@@ -1303,12 +1303,12 @@ public:
it = itBegin;
while (scriptCode.GetOp(it, opcode)) {
if (opcode == OP_CODESEPARATOR) {
- s.write((char*)&itBegin[0], it-itBegin-1);
+ s.write(AsBytes(Span{&itBegin[0], size_t(it - itBegin - 1)}));
itBegin = it;
}
}
if (itBegin != scriptCode.end())
- s.write((char*)&itBegin[0], it-itBegin);
+ s.write(AsBytes(Span{&itBegin[0], size_t(it - itBegin)}));
}
/** Serialize an input of txTo */
@@ -1420,7 +1420,7 @@ uint256 GetSpentScriptsSHA256(const std::vector<CTxOut>& outputs_spent)
} // namespace
template <class T>
-void PrecomputedTransactionData::Init(const T& txTo, std::vector<CTxOut>&& spent_outputs)
+void PrecomputedTransactionData::Init(const T& txTo, std::vector<CTxOut>&& spent_outputs, bool force)
{
assert(!m_spent_outputs_ready);
@@ -1431,9 +1431,9 @@ void PrecomputedTransactionData::Init(const T& txTo, std::vector<CTxOut>&& spent
}
// Determine which precomputation-impacting features this transaction uses.
- bool uses_bip143_segwit = false;
- bool uses_bip341_taproot = false;
- for (size_t inpos = 0; inpos < txTo.vin.size(); ++inpos) {
+ bool uses_bip143_segwit = force;
+ bool uses_bip341_taproot = force;
+ for (size_t inpos = 0; inpos < txTo.vin.size() && !(uses_bip143_segwit && uses_bip341_taproot); ++inpos) {
if (!txTo.vin[inpos].scriptWitness.IsNull()) {
if (m_spent_outputs_ready && m_spent_outputs[inpos].scriptPubKey.size() == 2 + WITNESS_V1_TAPROOT_SIZE &&
m_spent_outputs[inpos].scriptPubKey[0] == OP_1) {
@@ -1478,18 +1478,29 @@ PrecomputedTransactionData::PrecomputedTransactionData(const T& txTo)
}
// explicit instantiation
-template void PrecomputedTransactionData::Init(const CTransaction& txTo, std::vector<CTxOut>&& spent_outputs);
-template void PrecomputedTransactionData::Init(const CMutableTransaction& txTo, std::vector<CTxOut>&& spent_outputs);
+template void PrecomputedTransactionData::Init(const CTransaction& txTo, std::vector<CTxOut>&& spent_outputs, bool force);
+template void PrecomputedTransactionData::Init(const CMutableTransaction& txTo, std::vector<CTxOut>&& spent_outputs, bool force);
template PrecomputedTransactionData::PrecomputedTransactionData(const CTransaction& txTo);
template PrecomputedTransactionData::PrecomputedTransactionData(const CMutableTransaction& txTo);
-static const CHashWriter HASHER_TAPSIGHASH = TaggedHash("TapSighash");
-static const CHashWriter HASHER_TAPLEAF = TaggedHash("TapLeaf");
-static const CHashWriter HASHER_TAPBRANCH = TaggedHash("TapBranch");
-static const CHashWriter HASHER_TAPTWEAK = TaggedHash("TapTweak");
+const CHashWriter HASHER_TAPSIGHASH = TaggedHash("TapSighash");
+const CHashWriter HASHER_TAPLEAF = TaggedHash("TapLeaf");
+const CHashWriter HASHER_TAPBRANCH = TaggedHash("TapBranch");
+
+static bool HandleMissingData(MissingDataBehavior mdb)
+{
+ switch (mdb) {
+ case MissingDataBehavior::ASSERT_FAIL:
+ assert(!"Missing data");
+ break;
+ case MissingDataBehavior::FAIL:
+ return false;
+ }
+ assert(!"Unknown MissingDataBehavior value");
+}
template<typename T>
-bool SignatureHashSchnorr(uint256& hash_out, const ScriptExecutionData& execdata, const T& tx_to, uint32_t in_pos, uint8_t hash_type, SigVersion sigversion, const PrecomputedTransactionData& cache)
+bool SignatureHashSchnorr(uint256& hash_out, ScriptExecutionData& execdata, const T& tx_to, uint32_t in_pos, uint8_t hash_type, SigVersion sigversion, const PrecomputedTransactionData& cache, MissingDataBehavior mdb)
{
uint8_t ext_flag, key_version;
switch (sigversion) {
@@ -1509,7 +1520,9 @@ bool SignatureHashSchnorr(uint256& hash_out, const ScriptExecutionData& execdata
assert(false);
}
assert(in_pos < tx_to.vin.size());
- assert(cache.m_bip341_taproot_ready && cache.m_spent_outputs_ready);
+ if (!(cache.m_bip341_taproot_ready && cache.m_spent_outputs_ready)) {
+ return HandleMissingData(mdb);
+ }
CHashWriter ss = HASHER_TAPSIGHASH;
@@ -1555,9 +1568,12 @@ bool SignatureHashSchnorr(uint256& hash_out, const ScriptExecutionData& execdata
// Data about the output (if only one).
if (output_type == SIGHASH_SINGLE) {
if (in_pos >= tx_to.vout.size()) return false;
- CHashWriter sha_single_output(SER_GETHASH, 0);
- sha_single_output << tx_to.vout[in_pos];
- ss << sha_single_output.GetSHA256();
+ if (!execdata.m_output_hash) {
+ CHashWriter sha_single_output(SER_GETHASH, 0);
+ sha_single_output << tx_to.vout[in_pos];
+ execdata.m_output_hash = sha_single_output.GetSHA256();
+ }
+ ss << execdata.m_output_hash.value();
}
// Additional data for BIP 342 signatures
@@ -1667,6 +1683,9 @@ bool GenericTransactionSignatureChecker<T>::CheckECDSASignature(const std::vecto
int nHashType = vchSig.back();
vchSig.pop_back();
+ // Witness sighashes need the amount.
+ if (sigversion == SigVersion::WITNESS_V0 && amount < 0) return HandleMissingData(m_mdb);
+
uint256 sighash = SignatureHash(scriptCode, *txTo, nIn, nHashType, amount, sigversion, this->txdata);
if (!VerifyECDSASignature(vchSig, pubkey, sighash))
@@ -1676,7 +1695,7 @@ bool GenericTransactionSignatureChecker<T>::CheckECDSASignature(const std::vecto
}
template <class T>
-bool GenericTransactionSignatureChecker<T>::CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey_in, SigVersion sigversion, const ScriptExecutionData& execdata, ScriptError* serror) const
+bool GenericTransactionSignatureChecker<T>::CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey_in, SigVersion sigversion, ScriptExecutionData& execdata, ScriptError* serror) const
{
assert(sigversion == SigVersion::TAPROOT || sigversion == SigVersion::TAPSCRIPT);
// Schnorr signatures have 32-byte public keys. The caller is responsible for enforcing this.
@@ -1695,8 +1714,8 @@ bool GenericTransactionSignatureChecker<T>::CheckSchnorrSignature(Span<const uns
if (hashtype == SIGHASH_DEFAULT) return set_error(serror, SCRIPT_ERR_SCHNORR_SIG_HASHTYPE);
}
uint256 sighash;
- assert(this->txdata);
- if (!SignatureHashSchnorr(sighash, execdata, *txTo, nIn, hashtype, sigversion, *this->txdata)) {
+ if (!this->txdata) return HandleMissingData(m_mdb);
+ if (!SignatureHashSchnorr(sighash, execdata, *txTo, nIn, hashtype, sigversion, *this->txdata, m_mdb)) {
return set_error(serror, SCRIPT_ERR_SCHNORR_SIG_HASHTYPE);
}
if (!VerifySchnorrSignature(sig, pubkey, sighash)) return set_error(serror, SCRIPT_ERR_SCHNORR_SIG);
@@ -1724,9 +1743,9 @@ bool GenericTransactionSignatureChecker<T>::CheckLockTime(const CScriptNum& nLoc
if (nLockTime > (int64_t)txTo->nLockTime)
return false;
- // Finally the nLockTime feature can be disabled and thus
- // CHECKLOCKTIMEVERIFY bypassed if every txin has been
- // finalized by setting nSequence to maxint. The
+ // Finally the nLockTime feature can be disabled in IsFinalTx()
+ // and thus CHECKLOCKTIMEVERIFY bypassed if every txin has
+ // been finalized by setting nSequence to maxint. The
// transaction would be allowed into the blockchain, making
// the opcode ineffective.
//
@@ -1791,16 +1810,16 @@ bool GenericTransactionSignatureChecker<T>::CheckSequence(const CScriptNum& nSeq
template class GenericTransactionSignatureChecker<CTransaction>;
template class GenericTransactionSignatureChecker<CMutableTransaction>;
-static bool ExecuteWitnessScript(const Span<const valtype>& stack_span, const CScript& scriptPubKey, unsigned int flags, SigVersion sigversion, const BaseSignatureChecker& checker, ScriptExecutionData& execdata, ScriptError* serror)
+static bool ExecuteWitnessScript(const Span<const valtype>& stack_span, const CScript& exec_script, unsigned int flags, SigVersion sigversion, const BaseSignatureChecker& checker, ScriptExecutionData& execdata, ScriptError* serror)
{
std::vector<valtype> stack{stack_span.begin(), stack_span.end()};
if (sigversion == SigVersion::TAPSCRIPT) {
// OP_SUCCESSx processing overrides everything, including stack element size limits
- CScript::const_iterator pc = scriptPubKey.begin();
- while (pc < scriptPubKey.end()) {
+ CScript::const_iterator pc = exec_script.begin();
+ while (pc < exec_script.end()) {
opcodetype opcode;
- if (!scriptPubKey.GetOp(pc, opcode)) {
+ if (!exec_script.GetOp(pc, opcode)) {
// Note how this condition would not be reached if an unknown OP_SUCCESSx was found
return set_error(serror, SCRIPT_ERR_BAD_OPCODE);
}
@@ -1823,7 +1842,7 @@ static bool ExecuteWitnessScript(const Span<const valtype>& stack_span, const CS
}
// Run the script interpreter.
- if (!EvalScript(stack, scriptPubKey, flags, checker, sigversion, execdata, serror)) return false;
+ if (!EvalScript(stack, exec_script, flags, checker, sigversion, execdata, serror)) return false;
// Scripts inside witness implicitly require cleanstack behaviour
if (stack.size() != 1) return set_error(serror, SCRIPT_ERR_CLEANSTACK);
@@ -1831,20 +1850,18 @@ static bool ExecuteWitnessScript(const Span<const valtype>& stack_span, const CS
return true;
}
-static bool VerifyTaprootCommitment(const std::vector<unsigned char>& control, const std::vector<unsigned char>& program, const CScript& script, uint256& tapleaf_hash)
+uint256 ComputeTapleafHash(uint8_t leaf_version, const CScript& script)
+{
+ return (CHashWriter(HASHER_TAPLEAF) << leaf_version << script).GetSHA256();
+}
+
+uint256 ComputeTaprootMerkleRoot(Span<const unsigned char> control, const uint256& tapleaf_hash)
{
const int path_len = (control.size() - TAPROOT_CONTROL_BASE_SIZE) / TAPROOT_CONTROL_NODE_SIZE;
- //! The internal pubkey (x-only, so no Y coordinate parity).
- const XOnlyPubKey p{uint256(std::vector<unsigned char>(control.begin() + 1, control.begin() + TAPROOT_CONTROL_BASE_SIZE))};
- //! The output pubkey (taken from the scriptPubKey).
- const XOnlyPubKey q{uint256(program)};
- // Compute the tapleaf hash.
- tapleaf_hash = (CHashWriter(HASHER_TAPLEAF) << uint8_t(control[0] & TAPROOT_LEAF_MASK) << script).GetSHA256();
- // Compute the Merkle root from the leaf and the provided path.
uint256 k = tapleaf_hash;
for (int i = 0; i < path_len; ++i) {
CHashWriter ss_branch{HASHER_TAPBRANCH};
- Span<const unsigned char> node(control.data() + TAPROOT_CONTROL_BASE_SIZE + TAPROOT_CONTROL_NODE_SIZE * i, TAPROOT_CONTROL_NODE_SIZE);
+ Span node{Span{control}.subspan(TAPROOT_CONTROL_BASE_SIZE + TAPROOT_CONTROL_NODE_SIZE * i, TAPROOT_CONTROL_NODE_SIZE)};
if (std::lexicographical_compare(k.begin(), k.end(), node.begin(), node.end())) {
ss_branch << k << node;
} else {
@@ -1852,16 +1869,27 @@ static bool VerifyTaprootCommitment(const std::vector<unsigned char>& control, c
}
k = ss_branch.GetSHA256();
}
- // Compute the tweak from the Merkle root and the internal pubkey.
- k = (CHashWriter(HASHER_TAPTWEAK) << MakeSpan(p) << k).GetSHA256();
+ return k;
+}
+
+static bool VerifyTaprootCommitment(const std::vector<unsigned char>& control, const std::vector<unsigned char>& program, const uint256& tapleaf_hash)
+{
+ assert(control.size() >= TAPROOT_CONTROL_BASE_SIZE);
+ assert(program.size() >= uint256::size());
+ //! The internal pubkey (x-only, so no Y coordinate parity).
+ const XOnlyPubKey p{Span{control}.subspan(1, TAPROOT_CONTROL_BASE_SIZE - 1)};
+ //! The output pubkey (taken from the scriptPubKey).
+ const XOnlyPubKey q{program};
+ // Compute the Merkle root from the leaf and the provided path.
+ const uint256 merkle_root = ComputeTaprootMerkleRoot(control, tapleaf_hash);
// Verify that the output pubkey matches the tweaked internal pubkey, after correcting for parity.
- return q.CheckPayToContract(p, k, control[0] & 1);
+ return q.CheckTapTweak(p, merkle_root, control[0] & 1);
}
static bool VerifyWitnessProgram(const CScriptWitness& witness, int witversion, const std::vector<unsigned char>& program, unsigned int flags, const BaseSignatureChecker& checker, ScriptError* serror, bool is_p2sh)
{
CScript exec_script; //!< Actually executed script (last stack item in P2WSH; implied P2PKH script in P2WPKH; leaf script in P2TR)
- Span<const valtype> stack{witness.stack};
+ Span stack{witness.stack};
ScriptExecutionData execdata;
if (witversion == 0) {
@@ -1873,7 +1901,7 @@ static bool VerifyWitnessProgram(const CScriptWitness& witness, int witversion,
const valtype& script_bytes = SpanPopBack(stack);
exec_script = CScript(script_bytes.begin(), script_bytes.end());
uint256 hash_exec_script;
- CSHA256().Write(&exec_script[0], exec_script.size()).Finalize(hash_exec_script.begin());
+ CSHA256().Write(exec_script.data(), exec_script.size()).Finalize(hash_exec_script.begin());
if (memcmp(hash_exec_script.begin(), program.data(), 32)) {
return set_error(serror, SCRIPT_ERR_WITNESS_PROGRAM_MISMATCH);
}
@@ -1915,7 +1943,8 @@ static bool VerifyWitnessProgram(const CScriptWitness& witness, int witversion,
if (control.size() < TAPROOT_CONTROL_BASE_SIZE || control.size() > TAPROOT_CONTROL_MAX_SIZE || ((control.size() - TAPROOT_CONTROL_BASE_SIZE) % TAPROOT_CONTROL_NODE_SIZE) != 0) {
return set_error(serror, SCRIPT_ERR_TAPROOT_WRONG_CONTROL_SIZE);
}
- if (!VerifyTaprootCommitment(control, program, exec_script, execdata.m_tapleaf_hash)) {
+ execdata.m_tapleaf_hash = ComputeTapleafHash(control[0] & TAPROOT_LEAF_MASK, exec_script);
+ if (!VerifyTaprootCommitment(control, program, execdata.m_tapleaf_hash)) {
return set_error(serror, SCRIPT_ERR_WITNESS_PROGRAM_MISMATCH);
}
execdata.m_tapleaf_hash_init = true;
diff --git a/src/script/interpreter.h b/src/script/interpreter.h
index b4c163c841..cf1953ad22 100644
--- a/src/script/interpreter.h
+++ b/src/script/interpreter.h
@@ -1,15 +1,17 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_SCRIPT_INTERPRETER_H
#define BITCOIN_SCRIPT_INTERPRETER_H
+#include <hash.h>
#include <script/script_error.h>
#include <span.h>
#include <primitives/transaction.h>
+#include <optional>
#include <vector>
#include <stdint.h>
@@ -38,8 +40,7 @@ enum
* All flags are intended to be soft forks: the set of acceptable scripts under
* flags (A | B) is a subset of the acceptable scripts under flag (A).
*/
-enum
-{
+enum : uint32_t {
SCRIPT_VERIFY_NONE = 0,
// Evaluate P2SH subscripts (BIP16).
@@ -139,6 +140,10 @@ enum
// Making unknown public key versions (in BIP 342 scripts) non-standard
SCRIPT_VERIFY_DISCOURAGE_UPGRADABLE_PUBKEYTYPE = (1U << 20),
+
+ // Constants to point to the highest flag in use. Add new flags above this line.
+ //
+ SCRIPT_VERIFY_END_MARKER
};
bool CheckSignatureEncoding(const std::vector<unsigned char> &vchSig, unsigned int flags, ScriptError* serror);
@@ -166,8 +171,15 @@ struct PrecomputedTransactionData
PrecomputedTransactionData() = default;
+ /** Initialize this PrecomputedTransactionData with transaction data.
+ *
+ * @param[in] tx The transaction for which data is being precomputed.
+ * @param[in] spent_outputs The CTxOuts being spent, one for each tx.vin, in order.
+ * @param[in] force Whether to precompute data for all optional features,
+ * regardless of what is in the inputs (used at signing
+ * time, when the inputs aren't filled in yet). */
template <class T>
- void Init(const T& tx, std::vector<CTxOut>&& spent_outputs);
+ void Init(const T& tx, std::vector<CTxOut>&& spent_outputs, bool force = false);
template <class T>
explicit PrecomputedTransactionData(const T& tx);
@@ -204,6 +216,9 @@ struct ScriptExecutionData
bool m_validation_weight_left_init = false;
//! How much validation weight is left (decremented for every successful non-empty signature check).
int64_t m_validation_weight_left;
+
+ //! The hash of the corresponding output
+ std::optional<uint256> m_output_hash;
};
/** Signature hash sizes */
@@ -218,6 +233,10 @@ static constexpr size_t TAPROOT_CONTROL_NODE_SIZE = 32;
static constexpr size_t TAPROOT_CONTROL_MAX_NODE_COUNT = 128;
static constexpr size_t TAPROOT_CONTROL_MAX_SIZE = TAPROOT_CONTROL_BASE_SIZE + TAPROOT_CONTROL_NODE_SIZE * TAPROOT_CONTROL_MAX_NODE_COUNT;
+extern const CHashWriter HASHER_TAPSIGHASH; //!< Hasher with tag "TapSighash" pre-fed to it.
+extern const CHashWriter HASHER_TAPLEAF; //!< Hasher with tag "TapLeaf" pre-fed to it.
+extern const CHashWriter HASHER_TAPBRANCH; //!< Hasher with tag "TapBranch" pre-fed to it.
+
template <class T>
uint256 SignatureHash(const CScript& scriptCode, const T& txTo, unsigned int nIn, int nHashType, const CAmount& amount, SigVersion sigversion, const PrecomputedTransactionData* cache = nullptr);
@@ -229,7 +248,7 @@ public:
return false;
}
- virtual bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, const ScriptExecutionData& execdata, ScriptError* serror = nullptr) const
+ virtual bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptExecutionData& execdata, ScriptError* serror = nullptr) const
{
return false;
}
@@ -247,11 +266,24 @@ public:
virtual ~BaseSignatureChecker() {}
};
+/** Enum to specify what *TransactionSignatureChecker's behavior should be
+ * when dealing with missing transaction data.
+ */
+enum class MissingDataBehavior
+{
+ ASSERT_FAIL, //!< Abort execution through assertion failure (for consensus code)
+ FAIL, //!< Just act as if the signature was invalid
+};
+
+template<typename T>
+bool SignatureHashSchnorr(uint256& hash_out, ScriptExecutionData& execdata, const T& tx_to, uint32_t in_pos, uint8_t hash_type, SigVersion sigversion, const PrecomputedTransactionData& cache, MissingDataBehavior mdb);
+
template <class T>
class GenericTransactionSignatureChecker : public BaseSignatureChecker
{
private:
const T* txTo;
+ const MissingDataBehavior m_mdb;
unsigned int nIn;
const CAmount amount;
const PrecomputedTransactionData* txdata;
@@ -261,10 +293,10 @@ protected:
virtual bool VerifySchnorrSignature(Span<const unsigned char> sig, const XOnlyPubKey& pubkey, const uint256& sighash) const;
public:
- GenericTransactionSignatureChecker(const T* txToIn, unsigned int nInIn, const CAmount& amountIn) : txTo(txToIn), nIn(nInIn), amount(amountIn), txdata(nullptr) {}
- GenericTransactionSignatureChecker(const T* txToIn, unsigned int nInIn, const CAmount& amountIn, const PrecomputedTransactionData& txdataIn) : txTo(txToIn), nIn(nInIn), amount(amountIn), txdata(&txdataIn) {}
+ GenericTransactionSignatureChecker(const T* txToIn, unsigned int nInIn, const CAmount& amountIn, MissingDataBehavior mdb) : txTo(txToIn), m_mdb(mdb), nIn(nInIn), amount(amountIn), txdata(nullptr) {}
+ GenericTransactionSignatureChecker(const T* txToIn, unsigned int nInIn, const CAmount& amountIn, const PrecomputedTransactionData& txdataIn, MissingDataBehavior mdb) : txTo(txToIn), m_mdb(mdb), nIn(nInIn), amount(amountIn), txdata(&txdataIn) {}
bool CheckECDSASignature(const std::vector<unsigned char>& scriptSig, const std::vector<unsigned char>& vchPubKey, const CScript& scriptCode, SigVersion sigversion) const override;
- bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, const ScriptExecutionData& execdata, ScriptError* serror = nullptr) const override;
+ bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptExecutionData& execdata, ScriptError* serror = nullptr) const override;
bool CheckLockTime(const CScriptNum& nLockTime) const override;
bool CheckSequence(const CScriptNum& nSequence) const override;
};
@@ -272,12 +304,48 @@ public:
using TransactionSignatureChecker = GenericTransactionSignatureChecker<CTransaction>;
using MutableTransactionSignatureChecker = GenericTransactionSignatureChecker<CMutableTransaction>;
+class DeferringSignatureChecker : public BaseSignatureChecker
+{
+protected:
+ BaseSignatureChecker& m_checker;
+
+public:
+ DeferringSignatureChecker(BaseSignatureChecker& checker) : m_checker(checker) {}
+
+ bool CheckECDSASignature(const std::vector<unsigned char>& scriptSig, const std::vector<unsigned char>& vchPubKey, const CScript& scriptCode, SigVersion sigversion) const override
+ {
+ return m_checker.CheckECDSASignature(scriptSig, vchPubKey, scriptCode, sigversion);
+ }
+
+ bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptExecutionData& execdata, ScriptError* serror = nullptr) const override
+ {
+ return m_checker.CheckSchnorrSignature(sig, pubkey, sigversion, execdata, serror);
+ }
+
+ bool CheckLockTime(const CScriptNum& nLockTime) const override
+ {
+ return m_checker.CheckLockTime(nLockTime);
+ }
+ bool CheckSequence(const CScriptNum& nSequence) const override
+ {
+ return m_checker.CheckSequence(nSequence);
+ }
+};
+
+/** Compute the BIP341 tapleaf hash from leaf version & script. */
+uint256 ComputeTapleafHash(uint8_t leaf_version, const CScript& script);
+/** Compute the BIP341 taproot script tree Merkle root from control block and leaf hash.
+ * Requires control block to have valid length (33 + k*32, with k in {0,1,..,128}). */
+uint256 ComputeTaprootMerkleRoot(Span<const unsigned char> control, const uint256& tapleaf_hash);
+
bool EvalScript(std::vector<std::vector<unsigned char> >& stack, const CScript& script, unsigned int flags, const BaseSignatureChecker& checker, SigVersion sigversion, ScriptExecutionData& execdata, ScriptError* error = nullptr);
bool EvalScript(std::vector<std::vector<unsigned char> >& stack, const CScript& script, unsigned int flags, const BaseSignatureChecker& checker, SigVersion sigversion, ScriptError* error = nullptr);
bool VerifyScript(const CScript& scriptSig, const CScript& scriptPubKey, const CScriptWitness* witness, unsigned int flags, const BaseSignatureChecker& checker, ScriptError* serror = nullptr);
size_t CountWitnessSigOps(const CScript& scriptSig, const CScript& scriptPubKey, const CScriptWitness* witness, unsigned int flags);
+bool CheckMinimalPush(const std::vector<unsigned char>& data, opcodetype opcode);
+
int FindAndDelete(CScript& script, const CScript& b);
#endif // BITCOIN_SCRIPT_INTERPRETER_H
diff --git a/src/script/keyorigin.h b/src/script/keyorigin.h
index 210395d177..c779872be2 100644
--- a/src/script/keyorigin.h
+++ b/src/script/keyorigin.h
@@ -18,6 +18,25 @@ struct KeyOriginInfo
return std::equal(std::begin(a.fingerprint), std::end(a.fingerprint), std::begin(b.fingerprint)) && a.path == b.path;
}
+ friend bool operator<(const KeyOriginInfo& a, const KeyOriginInfo& b)
+ {
+ // Compare the fingerprints lexicographically
+ int fpr_cmp = memcmp(a.fingerprint, b.fingerprint, 4);
+ if (fpr_cmp < 0) {
+ return true;
+ } else if (fpr_cmp > 0) {
+ return false;
+ }
+ // Compare the sizes of the paths, shorter is "less than"
+ if (a.path.size() < b.path.size()) {
+ return true;
+ } else if (a.path.size() > b.path.size()) {
+ return false;
+ }
+ // Paths same length, compare them lexicographically
+ return a.path < b.path;
+ }
+
SERIALIZE_METHODS(KeyOriginInfo, obj) { READWRITE(obj.fingerprint, obj.path); }
void clear()
diff --git a/src/script/script.h b/src/script/script.h
index 974cde4984..8b7a7bb7b3 100644
--- a/src/script/script.h
+++ b/src/script/script.h
@@ -1,11 +1,12 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_SCRIPT_SCRIPT_H
#define BITCOIN_SCRIPT_SCRIPT_H
+#include <attributes.h>
#include <crypto/common.h>
#include <prevector.h>
#include <serialize.h>
@@ -50,10 +51,10 @@ static const uint32_t LOCKTIME_MAX = 0xFFFFFFFFU;
static constexpr unsigned int ANNEX_TAG = 0x50;
// Validation weight per passing signature (Tapscript only, see BIP 342).
-static constexpr uint64_t VALIDATION_WEIGHT_PER_SIGOP_PASSED = 50;
+static constexpr int64_t VALIDATION_WEIGHT_PER_SIGOP_PASSED{50};
// How much weight budget is added to the witness size (Tapscript only, see BIP 342).
-static constexpr uint64_t VALIDATION_WEIGHT_OFFSET = 50;
+static constexpr int64_t VALIDATION_WEIGHT_OFFSET{50};
template <typename T>
std::vector<unsigned char> ToByteVector(const T& in)
@@ -438,9 +439,9 @@ public:
/** Delete non-existent operator to defend against future introduction */
CScript& operator<<(const CScript& b) = delete;
- CScript& operator<<(int64_t b) { return push_int64(b); }
+ CScript& operator<<(int64_t b) LIFETIMEBOUND { return push_int64(b); }
- CScript& operator<<(opcodetype opcode)
+ CScript& operator<<(opcodetype opcode) LIFETIMEBOUND
{
if (opcode < 0 || opcode > 0xff)
throw std::runtime_error("CScript::operator<<(): invalid opcode");
@@ -448,13 +449,13 @@ public:
return *this;
}
- CScript& operator<<(const CScriptNum& b)
+ CScript& operator<<(const CScriptNum& b) LIFETIMEBOUND
{
*this << b.getvch();
return *this;
}
- CScript& operator<<(const std::vector<unsigned char>& b)
+ CScript& operator<<(const std::vector<unsigned char>& b) LIFETIMEBOUND
{
if (b.size() < OP_PUSHDATA1)
{
diff --git a/src/script/sigcache.cpp b/src/script/sigcache.cpp
index c6d898a25a..4e2acc463a 100644
--- a/src/script/sigcache.cpp
+++ b/src/script/sigcache.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -53,14 +53,14 @@ public:
ComputeEntryECDSA(uint256& entry, const uint256 &hash, const std::vector<unsigned char>& vchSig, const CPubKey& pubkey) const
{
CSHA256 hasher = m_salted_hasher_ecdsa;
- hasher.Write(hash.begin(), 32).Write(&pubkey[0], pubkey.size()).Write(&vchSig[0], vchSig.size()).Finalize(entry.begin());
+ hasher.Write(hash.begin(), 32).Write(pubkey.data(), pubkey.size()).Write(vchSig.data(), vchSig.size()).Finalize(entry.begin());
}
void
ComputeEntrySchnorr(uint256& entry, const uint256 &hash, Span<const unsigned char> sig, const XOnlyPubKey& pubkey) const
{
CSHA256 hasher = m_salted_hasher_schnorr;
- hasher.Write(hash.begin(), 32).Write(&pubkey[0], pubkey.size()).Write(sig.data(), sig.size()).Finalize(entry.begin());
+ hasher.Write(hash.begin(), 32).Write(pubkey.data(), pubkey.size()).Write(sig.data(), sig.size()).Finalize(entry.begin());
}
bool
@@ -96,7 +96,7 @@ void InitSignatureCache()
{
// nMaxCacheSize is unsigned. If -maxsigcachesize is set to zero,
// setup_bytes creates the minimum possible cache (2 elements).
- size_t nMaxCacheSize = std::min(std::max((int64_t)0, gArgs.GetArg("-maxsigcachesize", DEFAULT_MAX_SIG_CACHE_SIZE) / 2), MAX_MAX_SIG_CACHE_SIZE) * ((size_t) 1 << 20);
+ size_t nMaxCacheSize = std::min(std::max((int64_t)0, gArgs.GetIntArg("-maxsigcachesize", DEFAULT_MAX_SIG_CACHE_SIZE) / 2), MAX_MAX_SIG_CACHE_SIZE) * ((size_t) 1 << 20);
size_t nElems = signatureCache.setup_bytes(nMaxCacheSize);
LogPrintf("Using %zu MiB out of %zu/2 requested for signature cache, able to store %zu elements\n",
(nElems*sizeof(uint256)) >>20, (nMaxCacheSize*2)>>20, nElems);
diff --git a/src/script/sigcache.h b/src/script/sigcache.h
index bf0ba38c2d..1e21d6f340 100644
--- a/src/script/sigcache.h
+++ b/src/script/sigcache.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -27,7 +27,7 @@ private:
bool store;
public:
- CachingTransactionSignatureChecker(const CTransaction* txToIn, unsigned int nInIn, const CAmount& amountIn, bool storeIn, PrecomputedTransactionData& txdataIn) : TransactionSignatureChecker(txToIn, nInIn, amountIn, txdataIn), store(storeIn) {}
+ CachingTransactionSignatureChecker(const CTransaction* txToIn, unsigned int nInIn, const CAmount& amountIn, bool storeIn, PrecomputedTransactionData& txdataIn) : TransactionSignatureChecker(txToIn, nInIn, amountIn, txdataIn, MissingDataBehavior::ASSERT_FAIL), store(storeIn) {}
bool VerifyECDSASignature(const std::vector<unsigned char>& vchSig, const CPubKey& vchPubKey, const uint256& sighash) const override;
bool VerifySchnorrSignature(Span<const unsigned char> sig, const XOnlyPubKey& pubkey, const uint256& sighash) const override;
diff --git a/src/script/sign.cpp b/src/script/sign.cpp
index dba5ce621a..371a937bc8 100644
--- a/src/script/sign.cpp
+++ b/src/script/sign.cpp
@@ -1,23 +1,41 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <script/sign.h>
+#include <consensus/amount.h>
#include <key.h>
#include <policy/policy.h>
#include <primitives/transaction.h>
+#include <script/keyorigin.h>
#include <script/signingprovider.h>
#include <script/standard.h>
#include <uint256.h>
+#include <util/translation.h>
+#include <util/vector.h>
typedef std::vector<unsigned char> valtype;
-MutableTransactionSignatureCreator::MutableTransactionSignatureCreator(const CMutableTransaction* txToIn, unsigned int nInIn, const CAmount& amountIn, int nHashTypeIn) : txTo(txToIn), nIn(nInIn), nHashType(nHashTypeIn), amount(amountIn), checker(txTo, nIn, amountIn) {}
+MutableTransactionSignatureCreator::MutableTransactionSignatureCreator(const CMutableTransaction* tx, unsigned int input_idx, const CAmount& amount, int hash_type)
+ : txTo{tx}, nIn{input_idx}, nHashType{hash_type}, amount{amount}, checker{txTo, nIn, amount, MissingDataBehavior::FAIL},
+ m_txdata(nullptr)
+{
+}
+
+MutableTransactionSignatureCreator::MutableTransactionSignatureCreator(const CMutableTransaction* tx, unsigned int input_idx, const CAmount& amount, const PrecomputedTransactionData* txdata, int hash_type)
+ : txTo{tx}, nIn{input_idx}, nHashType{hash_type}, amount{amount},
+ checker{txdata ? MutableTransactionSignatureChecker{txTo, nIn, amount, *txdata, MissingDataBehavior::FAIL} :
+ MutableTransactionSignatureChecker{txTo, nIn, amount, MissingDataBehavior::FAIL}},
+ m_txdata(txdata)
+{
+}
bool MutableTransactionSignatureCreator::CreateSig(const SigningProvider& provider, std::vector<unsigned char>& vchSig, const CKeyID& address, const CScript& scriptCode, SigVersion sigversion) const
{
+ assert(sigversion == SigVersion::BASE || sigversion == SigVersion::WITNESS_V0);
+
CKey key;
if (!provider.GetKey(address, key))
return false;
@@ -26,10 +44,47 @@ bool MutableTransactionSignatureCreator::CreateSig(const SigningProvider& provid
if (sigversion == SigVersion::WITNESS_V0 && !key.IsCompressed())
return false;
- uint256 hash = SignatureHash(scriptCode, *txTo, nIn, nHashType, amount, sigversion);
+ // Signing without known amount does not work in witness scripts.
+ if (sigversion == SigVersion::WITNESS_V0 && !MoneyRange(amount)) return false;
+
+ // BASE/WITNESS_V0 signatures don't support explicit SIGHASH_DEFAULT, use SIGHASH_ALL instead.
+ const int hashtype = nHashType == SIGHASH_DEFAULT ? SIGHASH_ALL : nHashType;
+
+ uint256 hash = SignatureHash(scriptCode, *txTo, nIn, hashtype, amount, sigversion, m_txdata);
if (!key.Sign(hash, vchSig))
return false;
- vchSig.push_back((unsigned char)nHashType);
+ vchSig.push_back((unsigned char)hashtype);
+ return true;
+}
+
+bool MutableTransactionSignatureCreator::CreateSchnorrSig(const SigningProvider& provider, std::vector<unsigned char>& sig, const XOnlyPubKey& pubkey, const uint256* leaf_hash, const uint256* merkle_root, SigVersion sigversion) const
+{
+ assert(sigversion == SigVersion::TAPROOT || sigversion == SigVersion::TAPSCRIPT);
+
+ CKey key;
+ if (!provider.GetKeyByXOnly(pubkey, key)) return false;
+
+ // BIP341/BIP342 signing needs lots of precomputed transaction data. While some
+ // (non-SIGHASH_DEFAULT) sighash modes exist that can work with just some subset
+ // of data present, for now, only support signing when everything is provided.
+ if (!m_txdata || !m_txdata->m_bip341_taproot_ready || !m_txdata->m_spent_outputs_ready) return false;
+
+ ScriptExecutionData execdata;
+ execdata.m_annex_init = true;
+ execdata.m_annex_present = false; // Only support annex-less signing for now.
+ if (sigversion == SigVersion::TAPSCRIPT) {
+ execdata.m_codeseparator_pos_init = true;
+ execdata.m_codeseparator_pos = 0xFFFFFFFF; // Only support non-OP_CODESEPARATOR BIP342 signing for now.
+ if (!leaf_hash) return false; // BIP342 signing needs leaf hash.
+ execdata.m_tapleaf_hash_init = true;
+ execdata.m_tapleaf_hash = *leaf_hash;
+ }
+ uint256 hash;
+ if (!SignatureHashSchnorr(hash, execdata, *txTo, nIn, nHashType, sigversion, *m_txdata, MissingDataBehavior::FAIL)) return false;
+ sig.resize(64);
+ // Use uint256{} as aux_rnd for now.
+ if (!key.SignSchnorr(hash, sig, merkle_root, {})) return false;
+ if (nHashType) sig.push_back(nHashType);
return true;
}
@@ -89,6 +144,86 @@ static bool CreateSig(const BaseSignatureCreator& creator, SignatureData& sigdat
return false;
}
+static bool CreateTaprootScriptSig(const BaseSignatureCreator& creator, SignatureData& sigdata, const SigningProvider& provider, std::vector<unsigned char>& sig_out, const XOnlyPubKey& pubkey, const uint256& leaf_hash, SigVersion sigversion)
+{
+ auto lookup_key = std::make_pair(pubkey, leaf_hash);
+ auto it = sigdata.taproot_script_sigs.find(lookup_key);
+ if (it != sigdata.taproot_script_sigs.end()) {
+ sig_out = it->second;
+ }
+ if (creator.CreateSchnorrSig(provider, sig_out, pubkey, &leaf_hash, nullptr, sigversion)) {
+ sigdata.taproot_script_sigs[lookup_key] = sig_out;
+ return true;
+ }
+ return false;
+}
+
+static bool SignTaprootScript(const SigningProvider& provider, const BaseSignatureCreator& creator, SignatureData& sigdata, int leaf_version, const CScript& script, std::vector<valtype>& result)
+{
+ // Only BIP342 tapscript signing is supported for now.
+ if (leaf_version != TAPROOT_LEAF_TAPSCRIPT) return false;
+ SigVersion sigversion = SigVersion::TAPSCRIPT;
+
+ uint256 leaf_hash = (CHashWriter(HASHER_TAPLEAF) << uint8_t(leaf_version) << script).GetSHA256();
+
+ // <xonly pubkey> OP_CHECKSIG
+ if (script.size() == 34 && script[33] == OP_CHECKSIG && script[0] == 0x20) {
+ XOnlyPubKey pubkey{Span{script}.subspan(1, 32)};
+ std::vector<unsigned char> sig;
+ if (CreateTaprootScriptSig(creator, sigdata, provider, sig, pubkey, leaf_hash, sigversion)) {
+ result = Vector(std::move(sig));
+ return true;
+ }
+ }
+
+ return false;
+}
+
+static bool SignTaproot(const SigningProvider& provider, const BaseSignatureCreator& creator, const WitnessV1Taproot& output, SignatureData& sigdata, std::vector<valtype>& result)
+{
+ TaprootSpendData spenddata;
+
+ // Gather information about this output.
+ if (provider.GetTaprootSpendData(output, spenddata)) {
+ sigdata.tr_spenddata.Merge(spenddata);
+ }
+
+ // Try key path spending.
+ {
+ std::vector<unsigned char> sig;
+ if (sigdata.taproot_key_path_sig.size() == 0) {
+ if (creator.CreateSchnorrSig(provider, sig, spenddata.internal_key, nullptr, &spenddata.merkle_root, SigVersion::TAPROOT)) {
+ sigdata.taproot_key_path_sig = sig;
+ }
+ }
+ if (sigdata.taproot_key_path_sig.size()) {
+ result = Vector(sigdata.taproot_key_path_sig);
+ return true;
+ }
+ }
+
+ // Try script path spending.
+ std::vector<std::vector<unsigned char>> smallest_result_stack;
+ for (const auto& [key, control_blocks] : sigdata.tr_spenddata.scripts) {
+ const auto& [script, leaf_ver] = key;
+ std::vector<std::vector<unsigned char>> result_stack;
+ if (SignTaprootScript(provider, creator, sigdata, leaf_ver, script, result_stack)) {
+ result_stack.emplace_back(std::begin(script), std::end(script)); // Push the script
+ result_stack.push_back(*control_blocks.begin()); // Push the smallest control block
+ if (smallest_result_stack.size() == 0 ||
+ GetSerializeSize(result_stack, PROTOCOL_VERSION) < GetSerializeSize(smallest_result_stack, PROTOCOL_VERSION)) {
+ smallest_result_stack = std::move(result_stack);
+ }
+ }
+ }
+ if (smallest_result_stack.size() != 0) {
+ result = std::move(smallest_result_stack);
+ return true;
+ }
+
+ return false;
+}
+
/**
* Sign scriptPubKey using signature made with creator.
* Signatures are returned in scriptSigRet (or returns false if scriptPubKey can't be signed),
@@ -110,7 +245,6 @@ static bool SignStep(const SigningProvider& provider, const BaseSignatureCreator
case TxoutType::NONSTANDARD:
case TxoutType::NULL_DATA:
case TxoutType::WITNESS_UNKNOWN:
- case TxoutType::WITNESS_V1_TAPROOT:
return false;
case TxoutType::PUBKEY:
if (!CreateSig(creator, sigdata, provider, sig, CPubKey(vSolutions[0]), scriptPubKey, sigversion)) return false;
@@ -164,7 +298,7 @@ static bool SignStep(const SigningProvider& provider, const BaseSignatureCreator
return true;
case TxoutType::WITNESS_V0_SCRIPTHASH:
- CRIPEMD160().Write(&vSolutions[0][0], vSolutions[0].size()).Finalize(h160.begin());
+ CRIPEMD160().Write(vSolutions[0].data(), vSolutions[0].size()).Finalize(h160.begin());
if (GetCScript(provider, sigdata, CScriptID{h160}, scriptRet)) {
ret.push_back(std::vector<unsigned char>(scriptRet.begin(), scriptRet.end()));
return true;
@@ -172,6 +306,9 @@ static bool SignStep(const SigningProvider& provider, const BaseSignatureCreator
// Could not find witnessScript, add to missing
sigdata.missing_witness_script = uint256(vSolutions[0]);
return false;
+
+ case TxoutType::WITNESS_V1_TAPROOT:
+ return SignTaproot(provider, creator, WitnessV1Taproot(XOnlyPubKey{vSolutions[0]}), sigdata, ret);
} // no default case, so the compiler can warn about missing cases
assert(false);
}
@@ -202,7 +339,6 @@ bool ProduceSignature(const SigningProvider& provider, const BaseSignatureCreato
bool solved = SignStep(provider, creator, fromPubKey, result, whichType, SigVersion::BASE, sigdata);
bool P2SH = false;
CScript subscript;
- sigdata.scriptWitness.stack.clear();
if (solved && whichType == TxoutType::SCRIPTHASH)
{
@@ -235,10 +371,17 @@ bool ProduceSignature(const SigningProvider& provider, const BaseSignatureCreato
sigdata.scriptWitness.stack = result;
sigdata.witness = true;
result.clear();
+ } else if (whichType == TxoutType::WITNESS_V1_TAPROOT && !P2SH) {
+ sigdata.witness = true;
+ if (solved) {
+ sigdata.scriptWitness.stack = std::move(result);
+ }
+ result.clear();
} else if (solved && whichType == TxoutType::WITNESS_UNKNOWN) {
sigdata.witness = true;
}
+ if (!sigdata.witness) sigdata.scriptWitness.stack.clear();
if (P2SH) {
result.push_back(std::vector<unsigned char>(subscript.begin(), subscript.end()));
}
@@ -250,17 +393,17 @@ bool ProduceSignature(const SigningProvider& provider, const BaseSignatureCreato
}
namespace {
-class SignatureExtractorChecker final : public BaseSignatureChecker
+class SignatureExtractorChecker final : public DeferringSignatureChecker
{
private:
SignatureData& sigdata;
- BaseSignatureChecker& checker;
public:
- SignatureExtractorChecker(SignatureData& sigdata, BaseSignatureChecker& checker) : sigdata(sigdata), checker(checker) {}
+ SignatureExtractorChecker(SignatureData& sigdata, BaseSignatureChecker& checker) : DeferringSignatureChecker(checker), sigdata(sigdata) {}
+
bool CheckECDSASignature(const std::vector<unsigned char>& scriptSig, const std::vector<unsigned char>& vchPubKey, const CScript& scriptCode, SigVersion sigversion) const override
{
- if (checker.CheckECDSASignature(scriptSig, vchPubKey, scriptCode, sigversion)) {
+ if (m_checker.CheckECDSASignature(scriptSig, vchPubKey, scriptCode, sigversion)) {
CPubKey pubkey(vchPubKey);
sigdata.signatures.emplace(pubkey.GetID(), SigPair(pubkey, scriptSig));
return true;
@@ -292,7 +435,7 @@ SignatureData DataFromTransaction(const CMutableTransaction& tx, unsigned int nI
Stacks stack(data);
// Get signatures
- MutableTransactionSignatureChecker tx_checker(&tx, nIn, txout.nValue);
+ MutableTransactionSignatureChecker tx_checker(&tx, nIn, txout.nValue, MissingDataBehavior::FAIL);
SignatureExtractorChecker extractor_checker(data, tx_checker);
if (VerifyScript(data.scriptSig, txout.scriptPubKey, &data.scriptWitness, STANDARD_SCRIPT_VERIFY_FLAGS, extractor_checker)) {
data.complete = true;
@@ -399,6 +542,7 @@ class DummySignatureChecker final : public BaseSignatureChecker
public:
DummySignatureChecker() {}
bool CheckECDSASignature(const std::vector<unsigned char>& scriptSig, const std::vector<unsigned char>& vchPubKey, const CScript& scriptCode, SigVersion sigversion) const override { return true; }
+ bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptExecutionData& execdata, ScriptError* serror) const override { return true; }
};
const DummySignatureChecker DUMMY_CHECKER;
@@ -424,6 +568,11 @@ public:
vchSig[6 + m_r_len + m_s_len] = SIGHASH_ALL;
return true;
}
+ bool CreateSchnorrSig(const SigningProvider& provider, std::vector<unsigned char>& sig, const XOnlyPubKey& pubkey, const uint256* leaf_hash, const uint256* tweak, SigVersion sigversion) const override
+ {
+ sig.assign(64, '\000');
+ return true;
+ }
};
}
@@ -452,33 +601,53 @@ bool IsSolvable(const SigningProvider& provider, const CScript& script)
bool IsSegWitOutput(const SigningProvider& provider, const CScript& script)
{
- std::vector<valtype> solutions;
- auto whichtype = Solver(script, solutions);
- if (whichtype == TxoutType::WITNESS_V0_SCRIPTHASH || whichtype == TxoutType::WITNESS_V0_KEYHASH || whichtype == TxoutType::WITNESS_UNKNOWN) return true;
- if (whichtype == TxoutType::SCRIPTHASH) {
- auto h160 = uint160(solutions[0]);
- CScript subscript;
- if (provider.GetCScript(CScriptID{h160}, subscript)) {
- whichtype = Solver(subscript, solutions);
- if (whichtype == TxoutType::WITNESS_V0_SCRIPTHASH || whichtype == TxoutType::WITNESS_V0_KEYHASH || whichtype == TxoutType::WITNESS_UNKNOWN) return true;
+ int version;
+ valtype program;
+ if (script.IsWitnessProgram(version, program)) return true;
+ if (script.IsPayToScriptHash()) {
+ std::vector<valtype> solutions;
+ auto whichtype = Solver(script, solutions);
+ if (whichtype == TxoutType::SCRIPTHASH) {
+ auto h160 = uint160(solutions[0]);
+ CScript subscript;
+ if (provider.GetCScript(CScriptID{h160}, subscript)) {
+ if (subscript.IsWitnessProgram(version, program)) return true;
+ }
}
}
return false;
}
-bool SignTransaction(CMutableTransaction& mtx, const SigningProvider* keystore, const std::map<COutPoint, Coin>& coins, int nHashType, std::map<int, std::string>& input_errors)
+bool SignTransaction(CMutableTransaction& mtx, const SigningProvider* keystore, const std::map<COutPoint, Coin>& coins, int nHashType, std::map<int, bilingual_str>& input_errors)
{
bool fHashSingle = ((nHashType & ~SIGHASH_ANYONECANPAY) == SIGHASH_SINGLE);
// Use CTransaction for the constant parts of the
// transaction to avoid rehashing.
const CTransaction txConst(mtx);
+
+ PrecomputedTransactionData txdata;
+ std::vector<CTxOut> spent_outputs;
+ for (unsigned int i = 0; i < mtx.vin.size(); ++i) {
+ CTxIn& txin = mtx.vin[i];
+ auto coin = coins.find(txin.prevout);
+ if (coin == coins.end() || coin->second.IsSpent()) {
+ txdata.Init(txConst, /* spent_outputs */ {}, /* force */ true);
+ break;
+ } else {
+ spent_outputs.emplace_back(coin->second.out.nValue, coin->second.out.scriptPubKey);
+ }
+ }
+ if (spent_outputs.size() == mtx.vin.size()) {
+ txdata.Init(txConst, std::move(spent_outputs), true);
+ }
+
// Sign what we can:
- for (unsigned int i = 0; i < mtx.vin.size(); i++) {
+ for (unsigned int i = 0; i < mtx.vin.size(); ++i) {
CTxIn& txin = mtx.vin[i];
auto coin = coins.find(txin.prevout);
if (coin == coins.end() || coin->second.IsSpent()) {
- input_errors[i] = "Input not found or already spent";
+ input_errors[i] = _("Input not found or already spent");
continue;
}
const CScript& prevPubKey = coin->second.out.scriptPubKey;
@@ -487,27 +656,27 @@ bool SignTransaction(CMutableTransaction& mtx, const SigningProvider* keystore,
SignatureData sigdata = DataFromTransaction(mtx, i, coin->second.out);
// Only sign SIGHASH_SINGLE if there's a corresponding output:
if (!fHashSingle || (i < mtx.vout.size())) {
- ProduceSignature(*keystore, MutableTransactionSignatureCreator(&mtx, i, amount, nHashType), prevPubKey, sigdata);
+ ProduceSignature(*keystore, MutableTransactionSignatureCreator(&mtx, i, amount, &txdata, nHashType), prevPubKey, sigdata);
}
UpdateInput(txin, sigdata);
// amount must be specified for valid segwit signature
if (amount == MAX_MONEY && !txin.scriptWitness.IsNull()) {
- input_errors[i] = "Missing amount";
+ input_errors[i] = _("Missing amount");
continue;
}
ScriptError serror = SCRIPT_ERR_OK;
- if (!VerifyScript(txin.scriptSig, prevPubKey, &txin.scriptWitness, STANDARD_SCRIPT_VERIFY_FLAGS, TransactionSignatureChecker(&txConst, i, amount), &serror)) {
+ if (!VerifyScript(txin.scriptSig, prevPubKey, &txin.scriptWitness, STANDARD_SCRIPT_VERIFY_FLAGS, TransactionSignatureChecker(&txConst, i, amount, txdata, MissingDataBehavior::FAIL), &serror)) {
if (serror == SCRIPT_ERR_INVALID_STACK_OPERATION) {
// Unable to sign input and verification failed (possible attempt to partially sign).
- input_errors[i] = "Unable to sign input, invalid stack size (possibly missing key)";
+ input_errors[i] = Untranslated("Unable to sign input, invalid stack size (possibly missing key)");
} else if (serror == SCRIPT_ERR_SIG_NULLFAIL) {
// Verification failed (possibly due to insufficient signatures).
- input_errors[i] = "CHECK(MULTI)SIG failing with non-zero signature (possibly need more signatures)";
+ input_errors[i] = Untranslated("CHECK(MULTI)SIG failing with non-zero signature (possibly need more signatures)");
} else {
- input_errors[i] = ScriptErrorString(serror);
+ input_errors[i] = Untranslated(ScriptErrorString(serror));
}
} else {
// If this input succeeds, make sure there is no error set for it
diff --git a/src/script/sign.h b/src/script/sign.h
index a1cfe1574d..7301826ba5 100644
--- a/src/script/sign.h
+++ b/src/script/sign.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,16 +11,15 @@
#include <pubkey.h>
#include <script/interpreter.h>
#include <script/keyorigin.h>
-#include <span.h>
-#include <streams.h>
+#include <script/standard.h>
class CKey;
class CKeyID;
class CScript;
-class CScriptID;
class CTransaction;
class SigningProvider;
+struct bilingual_str;
struct CMutableTransaction;
/** Interface for signature creators. */
@@ -31,6 +30,7 @@ public:
/** Create a singular (non-script) signature. */
virtual bool CreateSig(const SigningProvider& provider, std::vector<unsigned char>& vchSig, const CKeyID& keyid, const CScript& scriptCode, SigVersion sigversion) const =0;
+ virtual bool CreateSchnorrSig(const SigningProvider& provider, std::vector<unsigned char>& sig, const XOnlyPubKey& pubkey, const uint256* leaf_hash, const uint256* merkle_root, SigVersion sigversion) const =0;
};
/** A signature creator for transactions. */
@@ -40,11 +40,14 @@ class MutableTransactionSignatureCreator : public BaseSignatureCreator {
int nHashType;
CAmount amount;
const MutableTransactionSignatureChecker checker;
+ const PrecomputedTransactionData* m_txdata;
public:
- MutableTransactionSignatureCreator(const CMutableTransaction* txToIn, unsigned int nInIn, const CAmount& amountIn, int nHashTypeIn = SIGHASH_ALL);
+ MutableTransactionSignatureCreator(const CMutableTransaction* tx, unsigned int input_idx, const CAmount& amount, int hash_type);
+ MutableTransactionSignatureCreator(const CMutableTransaction* tx, unsigned int input_idx, const CAmount& amount, const PrecomputedTransactionData* txdata, int hash_type);
const BaseSignatureChecker& Checker() const override { return checker; }
bool CreateSig(const SigningProvider& provider, std::vector<unsigned char>& vchSig, const CKeyID& keyid, const CScript& scriptCode, SigVersion sigversion) const override;
+ bool CreateSchnorrSig(const SigningProvider& provider, std::vector<unsigned char>& sig, const XOnlyPubKey& pubkey, const uint256* leaf_hash, const uint256* merkle_root, SigVersion sigversion) const override;
};
/** A signature creator that just produces 71-byte empty signatures. */
@@ -64,8 +67,11 @@ struct SignatureData {
CScript redeem_script; ///< The redeemScript (if any) for the input
CScript witness_script; ///< The witnessScript (if any) for the input. witnessScripts are used in P2WSH outputs.
CScriptWitness scriptWitness; ///< The scriptWitness of an input. Contains complete signatures or the traditional partial signatures format. scriptWitness is part of a transaction input per BIP 144.
+ TaprootSpendData tr_spenddata; ///< Taproot spending data.
std::map<CKeyID, SigPair> signatures; ///< BIP 174 style partial signatures for the input. May contain all signatures necessary for producing a final scriptSig or scriptWitness.
std::map<CKeyID, std::pair<CPubKey, KeyOriginInfo>> misc_pubkeys;
+ std::vector<unsigned char> taproot_key_path_sig; /// Schnorr signature for key path spending
+ std::map<std::pair<XOnlyPubKey, uint256>, std::vector<unsigned char>> taproot_script_sigs; ///< (Partial) schnorr signatures, indexed by XOnlyPubKey and leaf_hash.
std::vector<CKeyID> missing_pubkeys; ///< KeyIDs of pubkeys which could not be found
std::vector<CKeyID> missing_sigs; ///< KeyIDs of pubkeys for signatures which could not be found
uint160 missing_redeem_script; ///< ScriptID of the missing redeemScript (if any)
@@ -76,80 +82,6 @@ struct SignatureData {
void MergeSignatureData(SignatureData sigdata);
};
-// Takes a stream and multiple arguments and serializes them as if first serialized into a vector and then into the stream
-// The resulting output into the stream has the total serialized length of all of the objects followed by all objects concatenated with each other.
-template<typename Stream, typename... X>
-void SerializeToVector(Stream& s, const X&... args)
-{
- WriteCompactSize(s, GetSerializeSizeMany(s.GetVersion(), args...));
- SerializeMany(s, args...);
-}
-
-// Takes a stream and multiple arguments and unserializes them first as a vector then each object individually in the order provided in the arguments
-template<typename Stream, typename... X>
-void UnserializeFromVector(Stream& s, X&... args)
-{
- size_t expected_size = ReadCompactSize(s);
- size_t remaining_before = s.size();
- UnserializeMany(s, args...);
- size_t remaining_after = s.size();
- if (remaining_after + expected_size != remaining_before) {
- throw std::ios_base::failure("Size of value was not the stated size");
- }
-}
-
-// Deserialize HD keypaths into a map
-template<typename Stream>
-void DeserializeHDKeypaths(Stream& s, const std::vector<unsigned char>& key, std::map<CPubKey, KeyOriginInfo>& hd_keypaths)
-{
- // Make sure that the key is the size of pubkey + 1
- if (key.size() != CPubKey::SIZE + 1 && key.size() != CPubKey::COMPRESSED_SIZE + 1) {
- throw std::ios_base::failure("Size of key was not the expected size for the type BIP32 keypath");
- }
- // Read in the pubkey from key
- CPubKey pubkey(key.begin() + 1, key.end());
- if (!pubkey.IsFullyValid()) {
- throw std::ios_base::failure("Invalid pubkey");
- }
- if (hd_keypaths.count(pubkey) > 0) {
- throw std::ios_base::failure("Duplicate Key, pubkey derivation path already provided");
- }
-
- // Read in key path
- uint64_t value_len = ReadCompactSize(s);
- if (value_len % 4 || value_len == 0) {
- throw std::ios_base::failure("Invalid length for HD key path");
- }
-
- KeyOriginInfo keypath;
- s >> keypath.fingerprint;
- for (unsigned int i = 4; i < value_len; i += sizeof(uint32_t)) {
- uint32_t index;
- s >> index;
- keypath.path.push_back(index);
- }
-
- // Add to map
- hd_keypaths.emplace(pubkey, std::move(keypath));
-}
-
-// Serialize HD keypaths to a stream from a map
-template<typename Stream>
-void SerializeHDKeypaths(Stream& s, const std::map<CPubKey, KeyOriginInfo>& hd_keypaths, uint8_t type)
-{
- for (auto keypath_pair : hd_keypaths) {
- if (!keypath_pair.first.IsValid()) {
- throw std::ios_base::failure("Invalid CPubKey being serialized");
- }
- SerializeToVector(s, type, MakeSpan(keypath_pair.first));
- WriteCompactSize(s, (keypath_pair.second.path.size() + 1) * sizeof(uint32_t));
- s << keypath_pair.second.fingerprint;
- for (const auto& path : keypath_pair.second.path) {
- s << path;
- }
- }
-}
-
/** Produce a script signature using a generic signature creator. */
bool ProduceSignature(const SigningProvider& provider, const BaseSignatureCreator& creator, const CScript& scriptPubKey, SignatureData& sigdata);
@@ -171,6 +103,6 @@ bool IsSolvable(const SigningProvider& provider, const CScript& script);
bool IsSegWitOutput(const SigningProvider& provider, const CScript& script);
/** Sign the CMutableTransaction */
-bool SignTransaction(CMutableTransaction& mtx, const SigningProvider* provider, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors);
+bool SignTransaction(CMutableTransaction& mtx, const SigningProvider* provider, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors);
#endif // BITCOIN_SCRIPT_SIGN_H
diff --git a/src/script/signingprovider.cpp b/src/script/signingprovider.cpp
index 9781ec32af..552934e0eb 100644
--- a/src/script/signingprovider.cpp
+++ b/src/script/signingprovider.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -44,6 +44,11 @@ bool HidingSigningProvider::GetKeyOrigin(const CKeyID& keyid, KeyOriginInfo& inf
return m_provider->GetKeyOrigin(keyid, info);
}
+bool HidingSigningProvider::GetTaprootSpendData(const XOnlyPubKey& output_key, TaprootSpendData& spenddata) const
+{
+ return m_provider->GetTaprootSpendData(output_key, spenddata);
+}
+
bool FlatSigningProvider::GetCScript(const CScriptID& scriptid, CScript& script) const { return LookupHelper(scripts, scriptid, script); }
bool FlatSigningProvider::GetPubKey(const CKeyID& keyid, CPubKey& pubkey) const { return LookupHelper(pubkeys, keyid, pubkey); }
bool FlatSigningProvider::GetKeyOrigin(const CKeyID& keyid, KeyOriginInfo& info) const
@@ -54,6 +59,10 @@ bool FlatSigningProvider::GetKeyOrigin(const CKeyID& keyid, KeyOriginInfo& info)
return ret;
}
bool FlatSigningProvider::GetKey(const CKeyID& keyid, CKey& key) const { return LookupHelper(keys, keyid, key); }
+bool FlatSigningProvider::GetTaprootSpendData(const XOnlyPubKey& output_key, TaprootSpendData& spenddata) const
+{
+ return LookupHelper(tr_spenddata, output_key, spenddata);
+}
FlatSigningProvider Merge(const FlatSigningProvider& a, const FlatSigningProvider& b)
{
@@ -66,6 +75,10 @@ FlatSigningProvider Merge(const FlatSigningProvider& a, const FlatSigningProvide
ret.keys.insert(b.keys.begin(), b.keys.end());
ret.origins = a.origins;
ret.origins.insert(b.origins.begin(), b.origins.end());
+ ret.tr_spenddata = a.tr_spenddata;
+ for (const auto& [output_key, spenddata] : b.tr_spenddata) {
+ ret.tr_spenddata[output_key].Merge(spenddata);
+ }
return ret;
}
@@ -177,8 +190,8 @@ bool FillableSigningProvider::GetCScript(const CScriptID &hash, CScript& redeemS
CKeyID GetKeyForDestination(const SigningProvider& store, const CTxDestination& dest)
{
- // Only supports destinations which map to single public keys, i.e. P2PKH,
- // P2WPKH, and P2SH-P2WPKH.
+ // Only supports destinations which map to single public keys:
+ // P2PKH, P2WPKH, P2SH-P2WPKH, P2TR
if (auto id = std::get_if<PKHash>(&dest)) {
return ToKeyID(*id);
}
@@ -195,5 +208,15 @@ CKeyID GetKeyForDestination(const SigningProvider& store, const CTxDestination&
}
}
}
+ if (auto output_key = std::get_if<WitnessV1Taproot>(&dest)) {
+ TaprootSpendData spenddata;
+ CPubKey pub;
+ if (store.GetTaprootSpendData(*output_key, spenddata)
+ && !spenddata.internal_key.IsNull()
+ && spenddata.merkle_root.IsNull()
+ && store.GetPubKeyByXOnly(spenddata.internal_key, pub)) {
+ return pub.GetID();
+ }
+ }
return CKeyID();
}
diff --git a/src/script/signingprovider.h b/src/script/signingprovider.h
index 76f31d2f6f..f1bded1a8c 100644
--- a/src/script/signingprovider.h
+++ b/src/script/signingprovider.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,12 +8,11 @@
#include <key.h>
#include <pubkey.h>
+#include <script/keyorigin.h>
#include <script/script.h>
#include <script/standard.h>
#include <sync.h>
-struct KeyOriginInfo;
-
/** An interface to be implemented by keystores that support signing. */
class SigningProvider
{
@@ -25,6 +24,31 @@ public:
virtual bool GetKey(const CKeyID &address, CKey& key) const { return false; }
virtual bool HaveKey(const CKeyID &address) const { return false; }
virtual bool GetKeyOrigin(const CKeyID& keyid, KeyOriginInfo& info) const { return false; }
+ virtual bool GetTaprootSpendData(const XOnlyPubKey& output_key, TaprootSpendData& spenddata) const { return false; }
+
+ bool GetKeyByXOnly(const XOnlyPubKey& pubkey, CKey& key) const
+ {
+ for (const auto& id : pubkey.GetKeyIDs()) {
+ if (GetKey(id, key)) return true;
+ }
+ return false;
+ }
+
+ bool GetPubKeyByXOnly(const XOnlyPubKey& pubkey, CPubKey& out) const
+ {
+ for (const auto& id : pubkey.GetKeyIDs()) {
+ if (GetPubKey(id, out)) return true;
+ }
+ return false;
+ }
+
+ bool GetKeyOriginByXOnly(const XOnlyPubKey& pubkey, KeyOriginInfo& info) const
+ {
+ for (const auto& id : pubkey.GetKeyIDs()) {
+ if (GetKeyOrigin(id, info)) return true;
+ }
+ return false;
+ }
};
extern const SigningProvider& DUMMY_SIGNING_PROVIDER;
@@ -42,6 +66,7 @@ public:
bool GetPubKey(const CKeyID& keyid, CPubKey& pubkey) const override;
bool GetKey(const CKeyID& keyid, CKey& key) const override;
bool GetKeyOrigin(const CKeyID& keyid, KeyOriginInfo& info) const override;
+ bool GetTaprootSpendData(const XOnlyPubKey& output_key, TaprootSpendData& spenddata) const override;
};
struct FlatSigningProvider final : public SigningProvider
@@ -50,11 +75,13 @@ struct FlatSigningProvider final : public SigningProvider
std::map<CKeyID, CPubKey> pubkeys;
std::map<CKeyID, std::pair<CPubKey, KeyOriginInfo>> origins;
std::map<CKeyID, CKey> keys;
+ std::map<XOnlyPubKey, TaprootSpendData> tr_spenddata; /** Map from output key to spend data. */
bool GetCScript(const CScriptID& scriptid, CScript& script) const override;
bool GetPubKey(const CKeyID& keyid, CPubKey& pubkey) const override;
bool GetKeyOrigin(const CKeyID& keyid, KeyOriginInfo& info) const override;
bool GetKey(const CKeyID& keyid, CKey& key) const override;
+ bool GetTaprootSpendData(const XOnlyPubKey& output_key, TaprootSpendData& spenddata) const override;
};
FlatSigningProvider Merge(const FlatSigningProvider& a, const FlatSigningProvider& b);
diff --git a/src/script/standard.cpp b/src/script/standard.cpp
index 4d882cd1f1..5fb98cc307 100644
--- a/src/script/standard.cpp
+++ b/src/script/standard.cpp
@@ -1,13 +1,16 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <script/standard.h>
#include <crypto/sha256.h>
+#include <hash.h>
#include <pubkey.h>
+#include <script/interpreter.h>
#include <script/script.h>
+#include <util/strencodings.h>
#include <string>
@@ -88,21 +91,53 @@ static constexpr bool IsSmallInteger(opcodetype opcode)
return opcode >= OP_1 && opcode <= OP_16;
}
-static bool MatchMultisig(const CScript& script, unsigned int& required, std::vector<valtype>& pubkeys)
+static constexpr bool IsPushdataOp(opcodetype opcode)
+{
+ return opcode > OP_FALSE && opcode <= OP_PUSHDATA4;
+}
+
+static constexpr bool IsValidMultisigKeyCount(int n_keys)
+{
+ return n_keys > 0 && n_keys <= MAX_PUBKEYS_PER_MULTISIG;
+}
+
+static bool GetMultisigKeyCount(opcodetype opcode, valtype data, int& count)
+{
+ if (IsSmallInteger(opcode)) {
+ count = CScript::DecodeOP_N(opcode);
+ return IsValidMultisigKeyCount(count);
+ }
+
+ if (IsPushdataOp(opcode)) {
+ if (!CheckMinimalPush(data, opcode)) return false;
+ try {
+ count = CScriptNum(data, /* fRequireMinimal = */ true).getint();
+ return IsValidMultisigKeyCount(count);
+ } catch (const scriptnum_error&) {
+ return false;
+ }
+ }
+
+ return false;
+}
+
+static bool MatchMultisig(const CScript& script, int& required_sigs, std::vector<valtype>& pubkeys)
{
opcodetype opcode;
valtype data;
+ int num_keys;
+
CScript::const_iterator it = script.begin();
if (script.size() < 1 || script.back() != OP_CHECKMULTISIG) return false;
- if (!script.GetOp(it, opcode, data) || !IsSmallInteger(opcode)) return false;
- required = CScript::DecodeOP_N(opcode);
+ if (!script.GetOp(it, opcode, data) || !GetMultisigKeyCount(opcode, data, required_sigs)) return false;
while (script.GetOp(it, opcode, data) && CPubKey::ValidSize(data)) {
pubkeys.emplace_back(std::move(data));
}
- if (!IsSmallInteger(opcode)) return false;
- unsigned int keys = CScript::DecodeOP_N(opcode);
- if (pubkeys.size() != keys || keys < required) return false;
+ if (!GetMultisigKeyCount(opcode, data, num_keys)) return false;
+
+ if (pubkeys.size() != static_cast<unsigned long>(num_keys) || num_keys < required_sigs) return false;
+
return (it + 1 == script.end());
}
@@ -123,15 +158,14 @@ TxoutType Solver(const CScript& scriptPubKey, std::vector<std::vector<unsigned c
std::vector<unsigned char> witnessprogram;
if (scriptPubKey.IsWitnessProgram(witnessversion, witnessprogram)) {
if (witnessversion == 0 && witnessprogram.size() == WITNESS_V0_KEYHASH_SIZE) {
- vSolutionsRet.push_back(witnessprogram);
+ vSolutionsRet.push_back(std::move(witnessprogram));
return TxoutType::WITNESS_V0_KEYHASH;
}
if (witnessversion == 0 && witnessprogram.size() == WITNESS_V0_SCRIPTHASH_SIZE) {
- vSolutionsRet.push_back(witnessprogram);
+ vSolutionsRet.push_back(std::move(witnessprogram));
return TxoutType::WITNESS_V0_SCRIPTHASH;
}
if (witnessversion == 1 && witnessprogram.size() == WITNESS_V1_TAPROOT_SIZE) {
- vSolutionsRet.push_back(std::vector<unsigned char>{(unsigned char)witnessversion});
vSolutionsRet.push_back(std::move(witnessprogram));
return TxoutType::WITNESS_V1_TAPROOT;
}
@@ -163,12 +197,12 @@ TxoutType Solver(const CScript& scriptPubKey, std::vector<std::vector<unsigned c
return TxoutType::PUBKEYHASH;
}
- unsigned int required;
+ int required;
std::vector<std::vector<unsigned char>> keys;
if (MatchMultisig(scriptPubKey, required, keys)) {
- vSolutionsRet.push_back({static_cast<unsigned char>(required)}); // safe as required is in range 1..16
+ vSolutionsRet.push_back({static_cast<unsigned char>(required)}); // safe as required is in range 1..20
vSolutionsRet.insert(vSolutionsRet.end(), keys.begin(), keys.end());
- vSolutionsRet.push_back({static_cast<unsigned char>(keys.size())}); // safe as size is in range 1..16
+ vSolutionsRet.push_back({static_cast<unsigned char>(keys.size())}); // safe as size is in range 1..20
return TxoutType::MULTISIG;
}
@@ -210,8 +244,13 @@ bool ExtractDestination(const CScript& scriptPubKey, CTxDestination& addressRet)
addressRet = hash;
return true;
}
- case TxoutType::WITNESS_UNKNOWN:
case TxoutType::WITNESS_V1_TAPROOT: {
+ WitnessV1Taproot tap;
+ std::copy(vSolutions[0].begin(), vSolutions[0].end(), tap.begin());
+ addressRet = tap;
+ return true;
+ }
+ case TxoutType::WITNESS_UNKNOWN: {
WitnessUnknown unk;
unk.version = vSolutions[0][0];
std::copy(vSolutions[1].begin(), vSolutions[1].end(), unk.program);
@@ -220,7 +259,6 @@ bool ExtractDestination(const CScript& scriptPubKey, CTxDestination& addressRet)
return true;
}
case TxoutType::MULTISIG:
- // Multisig txns have more than one address...
case TxoutType::NULL_DATA:
case TxoutType::NONSTANDARD:
return false;
@@ -228,46 +266,6 @@ bool ExtractDestination(const CScript& scriptPubKey, CTxDestination& addressRet)
assert(false);
}
-bool ExtractDestinations(const CScript& scriptPubKey, TxoutType& typeRet, std::vector<CTxDestination>& addressRet, int& nRequiredRet)
-{
- addressRet.clear();
- std::vector<valtype> vSolutions;
- typeRet = Solver(scriptPubKey, vSolutions);
- if (typeRet == TxoutType::NONSTANDARD) {
- return false;
- } else if (typeRet == TxoutType::NULL_DATA) {
- // This is data, not addresses
- return false;
- }
-
- if (typeRet == TxoutType::MULTISIG)
- {
- nRequiredRet = vSolutions.front()[0];
- for (unsigned int i = 1; i < vSolutions.size()-1; i++)
- {
- CPubKey pubKey(vSolutions[i]);
- if (!pubKey.IsValid())
- continue;
-
- CTxDestination address = PKHash(pubKey);
- addressRet.push_back(address);
- }
-
- if (addressRet.empty())
- return false;
- }
- else
- {
- nRequiredRet = 1;
- CTxDestination address;
- if (!ExtractDestination(scriptPubKey, address))
- return false;
- addressRet.push_back(address);
- }
-
- return true;
-}
-
namespace {
class CScriptVisitor
{
@@ -297,6 +295,11 @@ public:
return CScript() << OP_0 << ToByteVector(id);
}
+ CScript operator()(const WitnessV1Taproot& tap) const
+ {
+ return CScript() << OP_1 << ToByteVector(tap);
+ }
+
CScript operator()(const WitnessUnknown& id) const
{
return CScript() << CScript::EncodeOP_N(id.version) << std::vector<unsigned char>(id.program, id.program + id.length);
@@ -318,13 +321,303 @@ CScript GetScriptForMultisig(int nRequired, const std::vector<CPubKey>& keys)
{
CScript script;
- script << CScript::EncodeOP_N(nRequired);
+ script << nRequired;
for (const CPubKey& key : keys)
script << ToByteVector(key);
- script << CScript::EncodeOP_N(keys.size()) << OP_CHECKMULTISIG;
+ script << keys.size() << OP_CHECKMULTISIG;
+
return script;
}
bool IsValidDestination(const CTxDestination& dest) {
return dest.index() != 0;
}
+
+/*static*/ TaprootBuilder::NodeInfo TaprootBuilder::Combine(NodeInfo&& a, NodeInfo&& b)
+{
+ NodeInfo ret;
+ /* Iterate over all tracked leaves in a, add b's hash to their Merkle branch, and move them to ret. */
+ for (auto& leaf : a.leaves) {
+ leaf.merkle_branch.push_back(b.hash);
+ ret.leaves.emplace_back(std::move(leaf));
+ }
+ /* Iterate over all tracked leaves in b, add a's hash to their Merkle branch, and move them to ret. */
+ for (auto& leaf : b.leaves) {
+ leaf.merkle_branch.push_back(a.hash);
+ ret.leaves.emplace_back(std::move(leaf));
+ }
+ /* Lexicographically sort a and b's hash, and compute parent hash. */
+ if (a.hash < b.hash) {
+ ret.hash = (CHashWriter(HASHER_TAPBRANCH) << a.hash << b.hash).GetSHA256();
+ } else {
+ ret.hash = (CHashWriter(HASHER_TAPBRANCH) << b.hash << a.hash).GetSHA256();
+ }
+ return ret;
+}
+
+void TaprootSpendData::Merge(TaprootSpendData other)
+{
+ // TODO: figure out how to better deal with conflicting information
+ // being merged.
+ if (internal_key.IsNull() && !other.internal_key.IsNull()) {
+ internal_key = other.internal_key;
+ }
+ if (merkle_root.IsNull() && !other.merkle_root.IsNull()) {
+ merkle_root = other.merkle_root;
+ }
+ for (auto& [key, control_blocks] : other.scripts) {
+ // Once P0083R3 is supported by all our targeted platforms,
+ // this loop body can be replaced with:
+ // scripts[key].merge(std::move(control_blocks));
+ auto& target = scripts[key];
+ for (auto& control_block: control_blocks) {
+ target.insert(std::move(control_block));
+ }
+ }
+}
+
+void TaprootBuilder::Insert(TaprootBuilder::NodeInfo&& node, int depth)
+{
+ assert(depth >= 0 && (size_t)depth <= TAPROOT_CONTROL_MAX_NODE_COUNT);
+ /* We cannot insert a leaf at a lower depth while a deeper branch is unfinished. Doing
+ * so would mean the Add() invocations do not correspond to a DFS traversal of a
+ * binary tree. */
+ if ((size_t)depth + 1 < m_branch.size()) {
+ m_valid = false;
+ return;
+ }
+ /* As long as an entry in the branch exists at the specified depth, combine it and propagate up.
+ * The 'node' variable is overwritten here with the newly combined node. */
+ while (m_valid && m_branch.size() > (size_t)depth && m_branch[depth].has_value()) {
+ node = Combine(std::move(node), std::move(*m_branch[depth]));
+ m_branch.pop_back();
+ if (depth == 0) m_valid = false; /* Can't propagate further up than the root */
+ --depth;
+ }
+ if (m_valid) {
+ /* Make sure the branch is big enough to place the new node. */
+ if (m_branch.size() <= (size_t)depth) m_branch.resize((size_t)depth + 1);
+ assert(!m_branch[depth].has_value());
+ m_branch[depth] = std::move(node);
+ }
+}
+
+/*static*/ bool TaprootBuilder::ValidDepths(const std::vector<int>& depths)
+{
+ std::vector<bool> branch;
+ for (int depth : depths) {
+ // This inner loop corresponds to effectively the same logic on branch
+ // as what Insert() performs on the m_branch variable. Instead of
+ // storing a NodeInfo object, just remember whether or not there is one
+ // at that depth.
+ if (depth < 0 || (size_t)depth > TAPROOT_CONTROL_MAX_NODE_COUNT) return false;
+ if ((size_t)depth + 1 < branch.size()) return false;
+ while (branch.size() > (size_t)depth && branch[depth]) {
+ branch.pop_back();
+ if (depth == 0) return false;
+ --depth;
+ }
+ if (branch.size() <= (size_t)depth) branch.resize((size_t)depth + 1);
+ assert(!branch[depth]);
+ branch[depth] = true;
+ }
+ // And this check corresponds to the IsComplete() check on m_branch.
+ return branch.size() == 0 || (branch.size() == 1 && branch[0]);
+}
+
+TaprootBuilder& TaprootBuilder::Add(int depth, const CScript& script, int leaf_version, bool track)
+{
+ assert((leaf_version & ~TAPROOT_LEAF_MASK) == 0);
+ if (!IsValid()) return *this;
+ /* Construct NodeInfo object with leaf hash and (if track is true) also leaf information. */
+ NodeInfo node;
+ node.hash = (CHashWriter{HASHER_TAPLEAF} << uint8_t(leaf_version) << script).GetSHA256();
+ if (track) node.leaves.emplace_back(LeafInfo{script, leaf_version, {}});
+ /* Insert into the branch. */
+ Insert(std::move(node), depth);
+ return *this;
+}
+
+TaprootBuilder& TaprootBuilder::AddOmitted(int depth, const uint256& hash)
+{
+ if (!IsValid()) return *this;
+ /* Construct NodeInfo object with the hash directly, and insert it into the branch. */
+ NodeInfo node;
+ node.hash = hash;
+ Insert(std::move(node), depth);
+ return *this;
+}
+
+TaprootBuilder& TaprootBuilder::Finalize(const XOnlyPubKey& internal_key)
+{
+ /* Can only call this function when IsComplete() is true. */
+ assert(IsComplete());
+ m_internal_key = internal_key;
+ auto ret = m_internal_key.CreateTapTweak(m_branch.size() == 0 ? nullptr : &m_branch[0]->hash);
+ assert(ret.has_value());
+ std::tie(m_output_key, m_parity) = *ret;
+ return *this;
+}
+
+WitnessV1Taproot TaprootBuilder::GetOutput() { return WitnessV1Taproot{m_output_key}; }
+
+TaprootSpendData TaprootBuilder::GetSpendData() const
+{
+ assert(IsComplete());
+ TaprootSpendData spd;
+ spd.merkle_root = m_branch.size() == 0 ? uint256() : m_branch[0]->hash;
+ spd.internal_key = m_internal_key;
+ if (m_branch.size()) {
+ // If any script paths exist, they have been combined into the root m_branch[0]
+ // by now. Compute the control block for each of its tracked leaves, and put them in
+ // spd.scripts.
+ for (const auto& leaf : m_branch[0]->leaves) {
+ std::vector<unsigned char> control_block;
+ control_block.resize(TAPROOT_CONTROL_BASE_SIZE + TAPROOT_CONTROL_NODE_SIZE * leaf.merkle_branch.size());
+ control_block[0] = leaf.leaf_version | (m_parity ? 1 : 0);
+ std::copy(m_internal_key.begin(), m_internal_key.end(), control_block.begin() + 1);
+ if (leaf.merkle_branch.size()) {
+ std::copy(leaf.merkle_branch[0].begin(),
+ leaf.merkle_branch[0].begin() + TAPROOT_CONTROL_NODE_SIZE * leaf.merkle_branch.size(),
+ control_block.begin() + TAPROOT_CONTROL_BASE_SIZE);
+ }
+ spd.scripts[{leaf.script, leaf.leaf_version}].insert(std::move(control_block));
+ }
+ }
+ return spd;
+}
+
+std::optional<std::vector<std::tuple<int, CScript, int>>> InferTaprootTree(const TaprootSpendData& spenddata, const XOnlyPubKey& output)
+{
+ // Verify that the output matches the assumed Merkle root and internal key.
+ auto tweak = spenddata.internal_key.CreateTapTweak(spenddata.merkle_root.IsNull() ? nullptr : &spenddata.merkle_root);
+ if (!tweak || tweak->first != output) return std::nullopt;
+ // If the Merkle root is 0, the tree is empty, and we're done.
+ std::vector<std::tuple<int, CScript, int>> ret;
+ if (spenddata.merkle_root.IsNull()) return ret;
+
+ /** Data structure to represent the nodes of the tree we're going to build. */
+ struct TreeNode {
+ /** Hash of this node, if known; 0 otherwise. */
+ uint256 hash;
+ /** The left and right subtrees (note that their order is irrelevant). */
+ std::unique_ptr<TreeNode> sub[2];
+ /** If this is known to be a leaf node, a pointer to the (script, leaf_ver) pair.
+ * nullptr otherwise. */
+ const std::pair<CScript, int>* leaf = nullptr;
+ /** Whether or not this node has been explored (is known to be a leaf, or known to have children). */
+ bool explored = false;
+ /** Whether or not this node is an inner node (unknown until explored = true). */
+ bool inner;
+ /** Whether or not we have produced output for this subtree. */
+ bool done = false;
+ };
+
+ // Build tree from the provided branches.
+ TreeNode root;
+ root.hash = spenddata.merkle_root;
+ for (const auto& [key, control_blocks] : spenddata.scripts) {
+ const auto& [script, leaf_ver] = key;
+ for (const auto& control : control_blocks) {
+ // Skip script records with nonsensical leaf version.
+ if (leaf_ver < 0 || leaf_ver >= 0x100 || leaf_ver & 1) continue;
+ // Skip script records with invalid control block sizes.
+ if (control.size() < TAPROOT_CONTROL_BASE_SIZE || control.size() > TAPROOT_CONTROL_MAX_SIZE ||
+ ((control.size() - TAPROOT_CONTROL_BASE_SIZE) % TAPROOT_CONTROL_NODE_SIZE) != 0) continue;
+ // Skip script records that don't match the control block.
+ if ((control[0] & TAPROOT_LEAF_MASK) != leaf_ver) continue;
+ // Skip script records that don't match the provided Merkle root.
+ const uint256 leaf_hash = ComputeTapleafHash(leaf_ver, script);
+ const uint256 merkle_root = ComputeTaprootMerkleRoot(control, leaf_hash);
+ if (merkle_root != spenddata.merkle_root) continue;
+
+ TreeNode* node = &root;
+ size_t levels = (control.size() - TAPROOT_CONTROL_BASE_SIZE) / TAPROOT_CONTROL_NODE_SIZE;
+ for (size_t depth = 0; depth < levels; ++depth) {
+ // Can't descend into a node which we already know is a leaf.
+ if (node->explored && !node->inner) return std::nullopt;
+
+ // Extract partner hash from Merkle branch in control block.
+ uint256 hash;
+ std::copy(control.begin() + TAPROOT_CONTROL_BASE_SIZE + (levels - 1 - depth) * TAPROOT_CONTROL_NODE_SIZE,
+ control.begin() + TAPROOT_CONTROL_BASE_SIZE + (levels - depth) * TAPROOT_CONTROL_NODE_SIZE,
+ hash.begin());
+
+ if (node->sub[0]) {
+ // Descend into the existing left or right branch.
+ bool desc = false;
+ for (int i = 0; i < 2; ++i) {
+ if (node->sub[i]->hash == hash || (node->sub[i]->hash.IsNull() && node->sub[1-i]->hash != hash)) {
+ node->sub[i]->hash = hash;
+ node = &*node->sub[1-i];
+ desc = true;
+ break;
+ }
+ }
+ if (!desc) return std::nullopt; // This probably requires a hash collision to hit.
+ } else {
+ // We're in an unexplored node. Create subtrees and descend.
+ node->explored = true;
+ node->inner = true;
+ node->sub[0] = std::make_unique<TreeNode>();
+ node->sub[1] = std::make_unique<TreeNode>();
+ node->sub[1]->hash = hash;
+ node = &*node->sub[0];
+ }
+ }
+ // Cannot turn a known inner node into a leaf.
+ if (node->sub[0]) return std::nullopt;
+ node->explored = true;
+ node->inner = false;
+ node->leaf = &key;
+ node->hash = leaf_hash;
+ }
+ }
+
+ // Recursive processing to turn the tree into flattened output. Use an explicit stack here to avoid
+ // overflowing the call stack (the tree may be 128 levels deep).
+ std::vector<TreeNode*> stack{&root};
+ while (!stack.empty()) {
+ TreeNode& node = *stack.back();
+ if (!node.explored) {
+ // Unexplored node, which means the tree is incomplete.
+ return std::nullopt;
+ } else if (!node.inner) {
+ // Leaf node; produce output.
+ ret.emplace_back(stack.size() - 1, node.leaf->first, node.leaf->second);
+ node.done = true;
+ stack.pop_back();
+ } else if (node.sub[0]->done && !node.sub[1]->done && !node.sub[1]->explored && !node.sub[1]->hash.IsNull() &&
+ (CHashWriter{HASHER_TAPBRANCH} << node.sub[1]->hash << node.sub[1]->hash).GetSHA256() == node.hash) {
+ // Whenever there are nodes with two identical subtrees under it, we run into a problem:
+ // the control blocks for the leaves underneath those will be identical as well, and thus
+ // they will all be matched to the same path in the tree. The result is that at the location
+ // where the duplicate occurred, the left child will contain a normal tree that can be explored
+ // and processed, but the right one will remain unexplored.
+ //
+ // This situation can be detected, by encountering an inner node with unexplored right subtree
+ // with known hash, and H_TapBranch(hash, hash) is equal to the parent node (this node)'s hash.
+ //
+ // To deal with this, simply process the left tree a second time (set its done flag to false;
+ // noting that the done flag of its children have already been set to false after processing
+ // those). To avoid ending up in an infinite loop, set the done flag of the right (unexplored)
+ // subtree to true.
+ node.sub[0]->done = false;
+ node.sub[1]->done = true;
+ } else if (node.sub[0]->done && node.sub[1]->done) {
+ // An internal node which we're finished with.
+ node.sub[0]->done = false;
+ node.sub[1]->done = false;
+ node.done = true;
+ stack.pop_back();
+ } else if (!node.sub[0]->done) {
+ // An internal node whose left branch hasn't been processed yet. Do so first.
+ stack.push_back(&*node.sub[0]);
+ } else if (!node.sub[1]->done) {
+ // An internal node whose right branch hasn't been processed yet. Do so first.
+ stack.push_back(&*node.sub[1]);
+ }
+ }
+
+ return ret;
+}
diff --git a/src/script/standard.h b/src/script/standard.h
index d5d87392ad..eb50421768 100644
--- a/src/script/standard.h
+++ b/src/script/standard.h
@@ -1,14 +1,17 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_SCRIPT_STANDARD_H
#define BITCOIN_SCRIPT_STANDARD_H
+#include <pubkey.h>
#include <script/interpreter.h>
#include <uint256.h>
+#include <util/hash_type.h>
+#include <map>
#include <string>
#include <variant>
@@ -18,70 +21,6 @@ class CKeyID;
class CScript;
struct ScriptHash;
-template<typename HashType>
-class BaseHash
-{
-protected:
- HashType m_hash;
-
-public:
- BaseHash() : m_hash() {}
- explicit BaseHash(const HashType& in) : m_hash(in) {}
-
- unsigned char* begin()
- {
- return m_hash.begin();
- }
-
- const unsigned char* begin() const
- {
- return m_hash.begin();
- }
-
- unsigned char* end()
- {
- return m_hash.end();
- }
-
- const unsigned char* end() const
- {
- return m_hash.end();
- }
-
- operator std::vector<unsigned char>() const
- {
- return std::vector<unsigned char>{m_hash.begin(), m_hash.end()};
- }
-
- std::string ToString() const
- {
- return m_hash.ToString();
- }
-
- bool operator==(const BaseHash<HashType>& other) const noexcept
- {
- return m_hash == other.m_hash;
- }
-
- bool operator!=(const BaseHash<HashType>& other) const noexcept
- {
- return !(m_hash == other.m_hash);
- }
-
- bool operator<(const BaseHash<HashType>& other) const noexcept
- {
- return m_hash < other.m_hash;
- }
-
- size_t size() const
- {
- return m_hash.size();
- }
-
- unsigned char* data() { return m_hash.data(); }
- const unsigned char* data() const { return m_hash.data(); }
-};
-
/** A reference to a CScript: the Hash160 of its serialization (see script.h) */
class CScriptID : public BaseHash<uint160>
{
@@ -176,6 +115,12 @@ struct WitnessV0KeyHash : public BaseHash<uint160>
};
CKeyID ToKeyID(const WitnessV0KeyHash& key_hash);
+struct WitnessV1Taproot : public XOnlyPubKey
+{
+ WitnessV1Taproot() : XOnlyPubKey() {}
+ explicit WitnessV1Taproot(const XOnlyPubKey& xpk) : XOnlyPubKey(xpk) {}
+};
+
//! CTxDestination subtype to encode any future Witness version
struct WitnessUnknown
{
@@ -205,11 +150,11 @@ struct WitnessUnknown
* * ScriptHash: TxoutType::SCRIPTHASH destination (P2SH)
* * WitnessV0ScriptHash: TxoutType::WITNESS_V0_SCRIPTHASH destination (P2WSH)
* * WitnessV0KeyHash: TxoutType::WITNESS_V0_KEYHASH destination (P2WPKH)
- * * WitnessUnknown: TxoutType::WITNESS_UNKNOWN/WITNESS_V1_TAPROOT destination (P2W???)
- * (taproot outputs do not require their own type as long as no wallet support exists)
+ * * WitnessV1Taproot: TxoutType::WITNESS_V1_TAPROOT destination (P2TR)
+ * * WitnessUnknown: TxoutType::WITNESS_UNKNOWN destination (P2W???)
* A CTxDestination is the internal data type encoded in a bitcoin address
*/
-using CTxDestination = std::variant<CNoDestination, PKHash, ScriptHash, WitnessV0ScriptHash, WitnessV0KeyHash, WitnessUnknown>;
+using CTxDestination = std::variant<CNoDestination, PKHash, ScriptHash, WitnessV0ScriptHash, WitnessV0KeyHash, WitnessV1Taproot, WitnessUnknown>;
/** Check whether a CTxDestination is a CNoDestination. */
bool IsValidDestination(const CTxDestination& dest);
@@ -231,26 +176,12 @@ TxoutType Solver(const CScript& scriptPubKey, std::vector<std::vector<unsigned c
/**
* Parse a standard scriptPubKey for the destination address. Assigns result to
- * the addressRet parameter and returns true if successful. For multisig
- * scripts, instead use ExtractDestinations. Currently only works for P2PK,
+ * the addressRet parameter and returns true if successful. Currently only works for P2PK,
* P2PKH, P2SH, P2WPKH, and P2WSH scripts.
*/
bool ExtractDestination(const CScript& scriptPubKey, CTxDestination& addressRet);
/**
- * Parse a standard scriptPubKey with one or more destination addresses. For
- * multisig scripts, this populates the addressRet vector with the pubkey IDs
- * and nRequiredRet with the n required to spend. For other destinations,
- * addressRet is populated with a single value and nRequiredRet is set to 1.
- * Returns true if successful.
- *
- * Note: this function confuses destinations (a subset of CScripts that are
- * encodable as an address) with key identifiers (of keys involved in a
- * CScript), and its use should be phased out.
- */
-bool ExtractDestinations(const CScript& scriptPubKey, TxoutType& typeRet, std::vector<CTxDestination>& addressRet, int& nRequiredRet);
-
-/**
* Generate a Bitcoin scriptPubKey for the given CTxDestination. Returns a P2PKH
* script for a CKeyID destination, a P2SH script for a CScriptID, and an empty
* script for CNoDestination.
@@ -263,4 +194,132 @@ CScript GetScriptForRawPubKey(const CPubKey& pubkey);
/** Generate a multisig script. */
CScript GetScriptForMultisig(int nRequired, const std::vector<CPubKey>& keys);
+struct ShortestVectorFirstComparator
+{
+ bool operator()(const std::vector<unsigned char>& a, const std::vector<unsigned char>& b) const
+ {
+ if (a.size() < b.size()) return true;
+ if (a.size() > b.size()) return false;
+ return a < b;
+ }
+};
+
+struct TaprootSpendData
+{
+ /** The BIP341 internal key. */
+ XOnlyPubKey internal_key;
+ /** The Merkle root of the script tree (0 if no scripts). */
+ uint256 merkle_root;
+ /** Map from (script, leaf_version) to (sets of) control blocks.
+ * More than one control block for a given script is only possible if it
+ * appears in multiple branches of the tree. We keep them all so that
+ * inference can reconstruct the full tree. Within each set, the control
+ * blocks are sorted by size, so that the signing logic can easily
+ * prefer the cheapest one. */
+ std::map<std::pair<CScript, int>, std::set<std::vector<unsigned char>, ShortestVectorFirstComparator>> scripts;
+ /** Merge other TaprootSpendData (for the same scriptPubKey) into this. */
+ void Merge(TaprootSpendData other);
+};
+
+/** Utility class to construct Taproot outputs from internal key and script tree. */
+class TaprootBuilder
+{
+private:
+ /** Information about a tracked leaf in the Merkle tree. */
+ struct LeafInfo
+ {
+ CScript script; //!< The script.
+ int leaf_version; //!< The leaf version for that script.
+ std::vector<uint256> merkle_branch; //!< The hashing partners above this leaf.
+ };
+
+ /** Information associated with a node in the Merkle tree. */
+ struct NodeInfo
+ {
+ /** Merkle hash of this node. */
+ uint256 hash;
+ /** Tracked leaves underneath this node (either from the node itself, or its children).
+ * The merkle_branch field of each is the partners to get to *this* node. */
+ std::vector<LeafInfo> leaves;
+ };
+ /** Whether the builder is in a valid state so far. */
+ bool m_valid = true;
+
+ /** The current state of the builder.
+ *
+ * For each level in the tree, one NodeInfo object may be present. m_branch[0]
+ * is information about the root; further values are for deeper subtrees being
+ * explored.
+ *
+ * For every right branch taken to reach the position we're currently
+ * working in, there will be a (non-nullopt) entry in m_branch corresponding
+ * to the left branch at that level.
+ *
+ * For example, imagine this tree: - N0 -
+ * / \
+ * N1 N2
+ * / \ / \
+ * A B C N3
+ * / \
+ * D E
+ *
+ * Initially, m_branch is empty. After processing leaf A, it would become
+ * {nullopt, nullopt, A}. When processing leaf B, an entry at level 2 already
+ * exists, and it would thus be combined with it to produce a level 1 one,
+ * resulting in {nullopt, N1}. Adding C and D takes us to {nullopt, N1, C}
+ * and {nullopt, N1, C, D} respectively. When E is processed, it is combined
+ * with D, and then C, and then N1, to produce the root, resulting in {N0}.
+ *
+ * This structure allows processing with just O(log n) overhead if the leaves
+ * are computed on the fly.
+ *
+ * As an invariant, there can never be nullopt entries at the end. There can
+ * also not be more than 128 entries (as that would mean more than 128 levels
+ * in the tree). The depth of newly added entries will always be at least
+ * equal to the current size of m_branch (otherwise it does not correspond
+ * to a depth-first traversal of a tree). m_branch is only empty if no entries
+ * have ever be processed. m_branch having length 1 corresponds to being done.
+ */
+ std::vector<std::optional<NodeInfo>> m_branch;
+
+ XOnlyPubKey m_internal_key; //!< The internal key, set when finalizing.
+ XOnlyPubKey m_output_key; //!< The output key, computed when finalizing.
+ bool m_parity; //!< The tweak parity, computed when finalizing.
+
+ /** Combine information about a parent Merkle tree node from its child nodes. */
+ static NodeInfo Combine(NodeInfo&& a, NodeInfo&& b);
+ /** Insert information about a node at a certain depth, and propagate information up. */
+ void Insert(NodeInfo&& node, int depth);
+
+public:
+ /** Add a new script at a certain depth in the tree. Add() operations must be called
+ * in depth-first traversal order of binary tree. If track is true, it will be included in
+ * the GetSpendData() output. */
+ TaprootBuilder& Add(int depth, const CScript& script, int leaf_version, bool track = true);
+ /** Like Add(), but for a Merkle node with a given hash to the tree. */
+ TaprootBuilder& AddOmitted(int depth, const uint256& hash);
+ /** Finalize the construction. Can only be called when IsComplete() is true.
+ internal_key.IsFullyValid() must be true. */
+ TaprootBuilder& Finalize(const XOnlyPubKey& internal_key);
+
+ /** Return true if so far all input was valid. */
+ bool IsValid() const { return m_valid; }
+ /** Return whether there were either no leaves, or the leaves form a Huffman tree. */
+ bool IsComplete() const { return m_valid && (m_branch.size() == 0 || (m_branch.size() == 1 && m_branch[0].has_value())); }
+ /** Compute scriptPubKey (after Finalize()). */
+ WitnessV1Taproot GetOutput();
+ /** Check if a list of depths is legal (will lead to IsComplete()). */
+ static bool ValidDepths(const std::vector<int>& depths);
+ /** Compute spending data (after Finalize()). */
+ TaprootSpendData GetSpendData() const;
+};
+
+/** Given a TaprootSpendData and the output key, reconstruct its script tree.
+ *
+ * If the output doesn't match the spenddata, or if the data in spenddata is incomplete,
+ * std::nullopt is returned. Otherwise, a vector of (depth, script, leaf_ver) tuples is
+ * returned, corresponding to a depth-first traversal of the script tree.
+ */
+std::optional<std::vector<std::tuple<int, CScript, int>>> InferTaprootTree(const TaprootSpendData& spenddata, const XOnlyPubKey& output);
+
#endif // BITCOIN_SCRIPT_STANDARD_H
diff --git a/src/secp256k1/.cirrus.yml b/src/secp256k1/.cirrus.yml
new file mode 100644
index 0000000000..35a9a45367
--- /dev/null
+++ b/src/secp256k1/.cirrus.yml
@@ -0,0 +1,340 @@
+env:
+ ### compiler options
+ HOST:
+ # Specific warnings can be disabled with -Wno-error=foo.
+ # -pedantic-errors is not equivalent to -Werror=pedantic and thus not implied by -Werror according to the GCC manual.
+ WERROR_CFLAGS: -Werror -pedantic-errors
+ MAKEFLAGS: -j2
+ BUILD: check
+ ### secp256k1 config
+ STATICPRECOMPUTATION: yes
+ ECMULTGENPRECISION: auto
+ ASM: no
+ WIDEMUL: auto
+ WITH_VALGRIND: yes
+ EXTRAFLAGS:
+ ### secp256k1 modules
+ EXPERIMENTAL: no
+ ECDH: no
+ RECOVERY: no
+ SCHNORRSIG: no
+ ### test options
+ SECP256K1_TEST_ITERS:
+ BENCH: yes
+ SECP256K1_BENCH_ITERS: 2
+ CTIMETEST: yes
+
+cat_logs_snippet: &CAT_LOGS
+ always:
+ cat_tests_log_script:
+ - cat tests.log || true
+ cat_exhaustive_tests_log_script:
+ - cat exhaustive_tests.log || true
+ cat_valgrind_ctime_test_log_script:
+ - cat valgrind_ctime_test.log || true
+ cat_bench_log_script:
+ - cat bench.log || true
+ on_failure:
+ cat_config_log_script:
+ - cat config.log || true
+ cat_test_env_script:
+ - cat test_env.log || true
+ cat_ci_env_script:
+ - env
+
+merge_base_script_snippet: &MERGE_BASE
+ merge_base_script:
+ - if [ "$CIRRUS_PR" = "" ]; then exit 0; fi
+ - git fetch $CIRRUS_REPO_CLONE_URL $CIRRUS_BASE_BRANCH
+ - git config --global user.email "ci@ci.ci"
+ - git config --global user.name "ci"
+ - git merge FETCH_HEAD # Merge base to detect silent merge conflicts
+
+task:
+ name: "x86_64: Linux (Debian stable)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ # Reduce number of CPUs to be able to do more builds in parallel.
+ cpu: 1
+ # More than enough for our scripts.
+ memory: 1G
+ matrix: &ENV_MATRIX
+ - env: {WIDEMUL: int64, RECOVERY: yes}
+ - env: {WIDEMUL: int64, ECDH: yes, EXPERIMENTAL: yes, SCHNORRSIG: yes}
+ - env: {WIDEMUL: int128}
+ - env: {WIDEMUL: int128, RECOVERY: yes, EXPERIMENTAL: yes, SCHNORRSIG: yes}
+ - env: {WIDEMUL: int128, ECDH: yes, EXPERIMENTAL: yes, SCHNORRSIG: yes}
+ - env: {WIDEMUL: int128, ASM: x86_64}
+ - env: { RECOVERY: yes, EXPERIMENTAL: yes, SCHNORRSIG: yes}
+ - env: { STATICPRECOMPUTATION: no}
+ - env: {BUILD: distcheck, WITH_VALGRIND: no, CTIMETEST: no, BENCH: no}
+ - env: {CPPFLAGS: -DDETERMINISTIC}
+ - env: {CFLAGS: -O0, CTIMETEST: no}
+ - env: { ECMULTGENPRECISION: 2 }
+ - env: { ECMULTGENPRECISION: 8 }
+ matrix:
+ - env:
+ CC: gcc
+ - env:
+ CC: clang
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "i686: Linux (Debian stable)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 1G
+ env:
+ HOST: i686-linux-gnu
+ ECDH: yes
+ RECOVERY: yes
+ EXPERIMENTAL: yes
+ SCHNORRSIG: yes
+ matrix:
+ - env:
+ CC: i686-linux-gnu-gcc
+ - env:
+ CC: clang --target=i686-pc-linux-gnu -isystem /usr/i686-linux-gnu/include
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "x86_64: macOS Catalina"
+ macos_instance:
+ image: catalina-base
+ env:
+ HOMEBREW_NO_AUTO_UPDATE: 1
+ HOMEBREW_NO_INSTALL_CLEANUP: 1
+ # Cirrus gives us a fixed number of 12 virtual CPUs. Not that we even have that many jobs at the moment...
+ MAKEFLAGS: -j13
+ matrix:
+ << : *ENV_MATRIX
+ matrix:
+ - env:
+ CC: gcc-9
+ - env:
+ CC: clang
+ # Update Command Line Tools
+ # Uncomment this if the Command Line Tools on the CirrusCI macOS image are too old to brew valgrind.
+ # See https://apple.stackexchange.com/a/195963 for the implementation.
+ ## update_clt_script:
+ ## - system_profiler SPSoftwareDataType
+ ## - touch /tmp/.com.apple.dt.CommandLineTools.installondemand.in-progress
+ ## - |-
+ ## PROD=$(softwareupdate -l | grep "*.*Command Line" | tail -n 1 | awk -F"*" '{print $2}' | sed -e 's/^ *//' | sed 's/Label: //g' | tr -d '\n')
+ ## # For debugging
+ ## - softwareupdate -l && echo "PROD: $PROD"
+ ## - softwareupdate -i "$PROD" --verbose
+ ## - rm /tmp/.com.apple.dt.CommandLineTools.installondemand.in-progress
+ ##
+ brew_valgrind_pre_script:
+ - brew config
+ - brew tap --shallow LouisBrunner/valgrind
+ # Fetch valgrind source but don't build it yet.
+ - brew fetch --HEAD LouisBrunner/valgrind/valgrind
+ brew_valgrind_cache:
+ # This is $(brew --cellar valgrind) but command substition does not work here.
+ folder: /usr/local/Cellar/valgrind
+ # Rebuild cache if ...
+ fingerprint_script:
+ # ... macOS version changes:
+ - sw_vers
+ # ... brew changes:
+ - brew config
+ # ... valgrind changes:
+ - git -C "$(brew --cache)/valgrind--git" rev-parse HEAD
+ populate_script:
+ # If there's no hit in the cache, build and install valgrind.
+ - brew install --HEAD LouisBrunner/valgrind/valgrind
+ brew_valgrind_post_script:
+ # If we have restored valgrind from the cache, tell brew to create symlink to the PATH.
+ # If we haven't restored from cached (and just run brew install), this is a no-op.
+ - brew link valgrind
+ brew_script:
+ - brew install automake libtool gcc@9
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "s390x (big-endian): Linux (Debian stable, QEMU)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 1G
+ env:
+ WRAPPER_CMD: qemu-s390x
+ SECP256K1_TEST_ITERS: 16
+ HOST: s390x-linux-gnu
+ WITH_VALGRIND: no
+ ECDH: yes
+ RECOVERY: yes
+ EXPERIMENTAL: yes
+ SCHNORRSIG: yes
+ CTIMETEST: no
+ << : *MERGE_BASE
+ test_script:
+ # https://sourceware.org/bugzilla/show_bug.cgi?id=27008
+ - rm /etc/ld.so.cache
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "ARM32: Linux (Debian stable, QEMU)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 1G
+ env:
+ WRAPPER_CMD: qemu-arm
+ SECP256K1_TEST_ITERS: 16
+ HOST: arm-linux-gnueabihf
+ WITH_VALGRIND: no
+ ECDH: yes
+ RECOVERY: yes
+ EXPERIMENTAL: yes
+ SCHNORRSIG: yes
+ CTIMETEST: no
+ matrix:
+ - env: {}
+ - env: {ASM: arm}
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "ARM64: Linux (Debian stable, QEMU)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 1G
+ env:
+ WRAPPER_CMD: qemu-aarch64
+ SECP256K1_TEST_ITERS: 16
+ HOST: aarch64-linux-gnu
+ WITH_VALGRIND: no
+ ECDH: yes
+ RECOVERY: yes
+ EXPERIMENTAL: yes
+ SCHNORRSIG: yes
+ CTIMETEST: no
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "ppc64le: Linux (Debian stable, QEMU)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 1G
+ env:
+ WRAPPER_CMD: qemu-ppc64le
+ SECP256K1_TEST_ITERS: 16
+ HOST: powerpc64le-linux-gnu
+ WITH_VALGRIND: no
+ ECDH: yes
+ RECOVERY: yes
+ EXPERIMENTAL: yes
+ SCHNORRSIG: yes
+ CTIMETEST: no
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "x86_64 (mingw32-w64): Windows (Debian stable, Wine)"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 1G
+ env:
+ WRAPPER_CMD: wine64-stable
+ SECP256K1_TEST_ITERS: 16
+ HOST: x86_64-w64-mingw32
+ WITH_VALGRIND: no
+ ECDH: yes
+ RECOVERY: yes
+ EXPERIMENTAL: yes
+ SCHNORRSIG: yes
+ CTIMETEST: no
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+# Sanitizers
+task:
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 2G
+ env:
+ ECDH: yes
+ RECOVERY: yes
+ EXPERIMENTAL: yes
+ SCHNORRSIG: yes
+ CTIMETEST: no
+ matrix:
+ - name: "Valgrind (memcheck)"
+ env:
+ # The `--error-exitcode` is required to make the test fail if valgrind found errors, otherwise it'll return 0 (https://www.valgrind.org/docs/manual/manual-core.html)
+ WRAPPER_CMD: "valgrind --error-exitcode=42"
+ SECP256K1_TEST_ITERS: 2
+ - name: "UBSan, ASan, LSan"
+ env:
+ CFLAGS: "-fsanitize=undefined,address -g"
+ UBSAN_OPTIONS: "print_stacktrace=1:halt_on_error=1"
+ ASAN_OPTIONS: "strict_string_checks=1:detect_stack_use_after_return=1:detect_leaks=1"
+ LSAN_OPTIONS: "use_unaligned=1"
+ SECP256K1_TEST_ITERS: 32
+ # Try to cover many configurations with just a tiny matrix.
+ matrix:
+ - env:
+ ASM: auto
+ STATICPRECOMPUTATION: yes
+ - env:
+ ASM: no
+ STATICPRECOMPUTATION: no
+ ECMULTGENPRECISION: 2
+ matrix:
+ - env:
+ CC: clang
+ - env:
+ HOST: i686-linux-gnu
+ CC: i686-linux-gnu-gcc
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
+
+task:
+ name: "C++ -fpermissive"
+ container:
+ dockerfile: ci/linux-debian.Dockerfile
+ cpu: 1
+ memory: 1G
+ env:
+ # ./configure correctly errors out when given CC=g++.
+ # We hack around this by passing CC=g++ only to make.
+ CC: gcc
+ MAKEFLAGS: -j2 CC=g++ CFLAGS=-fpermissive\ -g
+ WERROR_CFLAGS:
+ EXPERIMENTAL: yes
+ ECDH: yes
+ RECOVERY: yes
+ SCHNORRSIG: yes
+ << : *MERGE_BASE
+ test_script:
+ - ./ci/cirrus.sh
+ << : *CAT_LOGS
diff --git a/src/secp256k1/.gitattributes b/src/secp256k1/.gitattributes
new file mode 100644
index 0000000000..a0fa567da8
--- /dev/null
+++ b/src/secp256k1/.gitattributes
@@ -0,0 +1,2 @@
+src/ecmult_static_pre_g.h linguist-generated
+src/ecmult_gen_static_prec_table.h linguist-generated
diff --git a/src/secp256k1/.gitignore b/src/secp256k1/.gitignore
index ccdef02b29..22cd500501 100644
--- a/src/secp256k1/.gitignore
+++ b/src/secp256k1/.gitignore
@@ -1,18 +1,15 @@
-bench_inv
-bench_ecdh
+bench
bench_ecmult
-bench_schnorrsig
-bench_sign
-bench_verify
-bench_recover
bench_internal
tests
exhaustive_tests
-gen_context
+gen_ecmult_gen_static_prec_table
+gen_ecmult_static_pre_g
valgrind_ctime_test
*.exe
*.so
*.a
+*.csv
!.gitignore
Makefile
@@ -23,6 +20,7 @@ aclocal.m4
autom4te.cache/
config.log
config.status
+conftest*
*.tar.gz
*.la
libtool
@@ -33,9 +31,16 @@ libtool
*~
*.log
*.trs
+
+coverage/
+coverage.html
+coverage.*.html
+*.gcda
+*.gcno
+*.gcov
+
src/libsecp256k1-config.h
src/libsecp256k1-config.h.in
-src/ecmult_static_context.h
build-aux/config.guess
build-aux/config.sub
build-aux/depcomp
diff --git a/src/secp256k1/.travis.yml b/src/secp256k1/.travis.yml
deleted file mode 100644
index ce8d6391b2..0000000000
--- a/src/secp256k1/.travis.yml
+++ /dev/null
@@ -1,108 +0,0 @@
-language: c
-os:
- - linux
- - osx
-
-dist: bionic
-# Valgrind currently supports upto macOS 10.13, the latest xcode of that version is 10.1
-osx_image: xcode10.1
-addons:
- apt:
- packages:
- - libgmp-dev
- - valgrind
- - libtool-bin
-compiler:
- - clang
- - gcc
-env:
- global:
- - WIDEMUL=auto BIGNUM=auto STATICPRECOMPUTATION=yes ECMULTGENPRECISION=auto ASM=no BUILD=check WITH_VALGRIND=yes RUN_VALGRIND=no EXTRAFLAGS= HOST= ECDH=no RECOVERY=no SCHNORRSIG=no EXPERIMENTAL=no CTIMETEST=yes BENCH=yes ITERS=2
- matrix:
- - WIDEMUL=int64 RECOVERY=yes
- - WIDEMUL=int64 ECDH=yes EXPERIMENTAL=yes SCHNORRSIG=yes
- - WIDEMUL=int128
- - WIDEMUL=int128 RECOVERY=yes EXPERIMENTAL=yes SCHNORRSIG=yes
- - WIDEMUL=int128 ECDH=yes EXPERIMENTAL=yes SCHNORRSIG=yes
- - WIDEMUL=int128 ASM=x86_64
- - BIGNUM=no
- - BIGNUM=no RECOVERY=yes EXPERIMENTAL=yes SCHNORRSIG=yes
- - BIGNUM=no STATICPRECOMPUTATION=no
- - BUILD=distcheck WITH_VALGRIND=no CTIMETEST=no BENCH=no
- - CPPFLAGS=-DDETERMINISTIC
- - CFLAGS=-O0 CTIMETEST=no
- - ECMULTGENPRECISION=2
- - ECMULTGENPRECISION=8
- - RUN_VALGRIND=yes BIGNUM=no ASM=x86_64 ECDH=yes RECOVERY=yes EXPERIMENTAL=yes SCHNORRSIG=yes EXTRAFLAGS="--disable-openssl-tests" BUILD=
-matrix:
- fast_finish: true
- include:
- - compiler: clang
- os: linux
- env: HOST=i686-linux-gnu
- addons:
- apt:
- packages:
- - gcc-multilib
- - libgmp-dev:i386
- - valgrind
- - libtool-bin
- - libc6-dbg:i386
- - compiler: clang
- env: HOST=i686-linux-gnu
- os: linux
- addons:
- apt:
- packages:
- - gcc-multilib
- - valgrind
- - libtool-bin
- - libc6-dbg:i386
- - compiler: gcc
- env: HOST=i686-linux-gnu
- os: linux
- addons:
- apt:
- packages:
- - gcc-multilib
- - valgrind
- - libtool-bin
- - libc6-dbg:i386
- - compiler: gcc
- os: linux
- env: HOST=i686-linux-gnu
- addons:
- apt:
- packages:
- - gcc-multilib
- - libgmp-dev:i386
- - valgrind
- - libtool-bin
- - libc6-dbg:i386
- # S390x build (big endian system)
- - compiler: gcc
- env: HOST=s390x-unknown-linux-gnu ECDH=yes RECOVERY=yes EXPERIMENTAL=yes SCHNORRSIG=yes CTIMETEST=
- arch: s390x
-
-# We use this to install macOS dependencies instead of the built in `homebrew` plugin,
-# because in xcode earlier than 11 they have a bug requiring updating the system which overall takes ~8 minutes.
-# https://travis-ci.community/t/macos-build-fails-because-of-homebrew-bundle-unknown-command/7296
-before_install:
- - if [ "${TRAVIS_OS_NAME}" = "osx" ]; then HOMEBREW_NO_AUTO_UPDATE=1 brew install gmp valgrind gcc@9; fi
-
-before_script: ./autogen.sh
-
-# travis auto terminates jobs that go for 10 minutes without printing to stdout, but travis_wait doesn't work well with forking programs like valgrind (https://docs.travis-ci.com/user/common-build-problems/#build-times-out-because-no-output-was-received https://github.com/bitcoin-core/secp256k1/pull/750#issuecomment-623476860)
-script:
- - function keep_alive() { while true; do echo -en "\a"; sleep 60; done }
- - keep_alive &
- - ./contrib/travis.sh
- - kill %keep_alive
-
-after_script:
- - cat ./tests.log
- - cat ./exhaustive_tests.log
- - cat ./valgrind_ctime_test.log
- - cat ./bench.log
- - $CC --version
- - valgrind --version
diff --git a/src/secp256k1/Makefile.am b/src/secp256k1/Makefile.am
index 023fa6067f..7ea29bc6e3 100644
--- a/src/secp256k1/Makefile.am
+++ b/src/secp256k1/Makefile.am
@@ -1,5 +1,11 @@
+.PHONY: clean-precomp precomp
+
ACLOCAL_AMFLAGS = -I build-aux/m4
+# AM_CFLAGS will be automatically prepended to CFLAGS by Automake when compiling some foo
+# which does not have an explicit foo_CFLAGS variable set.
+AM_CFLAGS = $(SECP_CFLAGS)
+
lib_LTLIBRARIES = libsecp256k1.la
include_HEADERS = include/secp256k1.h
include_HEADERS += include/secp256k1_preallocated.h
@@ -14,8 +20,6 @@ noinst_HEADERS += src/scalar_8x32_impl.h
noinst_HEADERS += src/scalar_low_impl.h
noinst_HEADERS += src/group.h
noinst_HEADERS += src/group_impl.h
-noinst_HEADERS += src/num_gmp.h
-noinst_HEADERS += src/num_gmp_impl.h
noinst_HEADERS += src/ecdsa.h
noinst_HEADERS += src/ecdsa_impl.h
noinst_HEADERS += src/eckey.h
@@ -26,14 +30,18 @@ noinst_HEADERS += src/ecmult_const.h
noinst_HEADERS += src/ecmult_const_impl.h
noinst_HEADERS += src/ecmult_gen.h
noinst_HEADERS += src/ecmult_gen_impl.h
-noinst_HEADERS += src/num.h
-noinst_HEADERS += src/num_impl.h
+noinst_HEADERS += src/ecmult_gen_prec.h
+noinst_HEADERS += src/ecmult_gen_prec_impl.h
noinst_HEADERS += src/field_10x26.h
noinst_HEADERS += src/field_10x26_impl.h
noinst_HEADERS += src/field_5x52.h
noinst_HEADERS += src/field_5x52_impl.h
noinst_HEADERS += src/field_5x52_int128_impl.h
noinst_HEADERS += src/field_5x52_asm_impl.h
+noinst_HEADERS += src/modinv32.h
+noinst_HEADERS += src/modinv32_impl.h
+noinst_HEADERS += src/modinv64.h
+noinst_HEADERS += src/modinv64_impl.h
noinst_HEADERS += src/assumptions.h
noinst_HEADERS += src/util.h
noinst_HEADERS += src/scratch.h
@@ -46,6 +54,7 @@ noinst_HEADERS += src/hash_impl.h
noinst_HEADERS += src/field.h
noinst_HEADERS += src/field_impl.h
noinst_HEADERS += src/bench.h
+noinst_HEADERS += src/basic-config.h
noinst_HEADERS += contrib/lax_der_parsing.h
noinst_HEADERS += contrib/lax_der_parsing.c
noinst_HEADERS += contrib/lax_der_privatekey_parsing.h
@@ -68,8 +77,9 @@ endif
endif
libsecp256k1_la_SOURCES = src/secp256k1.c
-libsecp256k1_la_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES)
+libsecp256k1_la_CPPFLAGS = -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES)
libsecp256k1_la_LIBADD = $(SECP_LIBS) $(COMMON_LIB)
+libsecp256k1_la_LDFLAGS = -no-undefined
if VALGRIND_ENABLED
libsecp256k1_la_CPPFLAGS += -DVALGRIND
@@ -77,31 +87,27 @@ endif
noinst_PROGRAMS =
if USE_BENCHMARK
-noinst_PROGRAMS += bench_verify bench_sign bench_internal bench_ecmult
-bench_verify_SOURCES = src/bench_verify.c
-bench_verify_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB)
-# SECP_TEST_INCLUDES are only used here for CRYPTO_CPPFLAGS
-bench_verify_CPPFLAGS = -DSECP256K1_BUILD $(SECP_TEST_INCLUDES)
-bench_sign_SOURCES = src/bench_sign.c
-bench_sign_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB)
+noinst_PROGRAMS += bench bench_internal bench_ecmult
+bench_SOURCES = src/bench.c
+bench_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB)
bench_internal_SOURCES = src/bench_internal.c
bench_internal_LDADD = $(SECP_LIBS) $(COMMON_LIB)
-bench_internal_CPPFLAGS = -DSECP256K1_BUILD $(SECP_INCLUDES)
+bench_internal_CPPFLAGS = $(SECP_INCLUDES)
bench_ecmult_SOURCES = src/bench_ecmult.c
bench_ecmult_LDADD = $(SECP_LIBS) $(COMMON_LIB)
-bench_ecmult_CPPFLAGS = -DSECP256K1_BUILD $(SECP_INCLUDES)
+bench_ecmult_CPPFLAGS = $(SECP_INCLUDES)
endif
TESTS =
if USE_TESTS
noinst_PROGRAMS += tests
tests_SOURCES = src/tests.c
-tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src -I$(top_srcdir)/include $(SECP_INCLUDES) $(SECP_TEST_INCLUDES)
+tests_CPPFLAGS = -I$(top_srcdir)/src -I$(top_srcdir)/include $(SECP_INCLUDES) $(SECP_TEST_INCLUDES)
if VALGRIND_ENABLED
tests_CPPFLAGS += -DVALGRIND
noinst_PROGRAMS += valgrind_ctime_test
valgrind_ctime_test_SOURCES = src/valgrind_ctime_test.c
-valgrind_ctime_test_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_LIBS) $(COMMON_LIB)
+valgrind_ctime_test_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB)
endif
if !ENABLE_COVERAGE
tests_CPPFLAGS += -DVERIFY
@@ -114,7 +120,7 @@ endif
if USE_EXHAUSTIVE_TESTS
noinst_PROGRAMS += exhaustive_tests
exhaustive_tests_SOURCES = src/tests_exhaustive.c
-exhaustive_tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src $(SECP_INCLUDES)
+exhaustive_tests_CPPFLAGS = $(SECP_INCLUDES)
if !ENABLE_COVERAGE
exhaustive_tests_CPPFLAGS += -DVERIFY
endif
@@ -123,29 +129,45 @@ exhaustive_tests_LDFLAGS = -static
TESTS += exhaustive_tests
endif
-if USE_ECMULT_STATIC_PRECOMPUTATION
-CPPFLAGS_FOR_BUILD +=-I$(top_srcdir) -I$(builddir)/src
-
-gen_context_OBJECTS = gen_context.o
-gen_context_BIN = gen_context$(BUILD_EXEEXT)
-gen_%.o: src/gen_%.c src/libsecp256k1-config.h
- $(CC_FOR_BUILD) $(CPPFLAGS_FOR_BUILD) $(CFLAGS_FOR_BUILD) -c $< -o $@
-
-$(gen_context_BIN): $(gen_context_OBJECTS)
- $(CC_FOR_BUILD) $(CFLAGS_FOR_BUILD) $(LDFLAGS_FOR_BUILD) $^ -o $@
-
-$(libsecp256k1_la_OBJECTS): src/ecmult_static_context.h
-$(tests_OBJECTS): src/ecmult_static_context.h
-$(bench_internal_OBJECTS): src/ecmult_static_context.h
-$(bench_ecmult_OBJECTS): src/ecmult_static_context.h
-
-src/ecmult_static_context.h: $(gen_context_BIN)
- ./$(gen_context_BIN)
-
-CLEANFILES = $(gen_context_BIN) src/ecmult_static_context.h
-endif
-
-EXTRA_DIST = autogen.sh src/gen_context.c src/basic-config.h
+### Precomputed tables
+EXTRA_PROGRAMS = gen_ecmult_static_pre_g gen_ecmult_gen_static_prec_table
+CLEANFILES = $(EXTRA_PROGRAMS)
+
+gen_ecmult_static_pre_g_SOURCES = src/gen_ecmult_static_pre_g.c
+gen_ecmult_static_pre_g_CPPFLAGS = $(SECP_INCLUDES)
+gen_ecmult_static_pre_g_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+
+gen_ecmult_gen_static_prec_table_SOURCES = src/gen_ecmult_gen_static_prec_table.c
+gen_ecmult_gen_static_prec_table_CPPFLAGS = $(SECP_INCLUDES)
+gen_ecmult_gen_static_prec_table_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+
+# See Automake manual, Section "Errors with distclean".
+# We don't list any dependencies for the prebuilt files here because
+# otherwise make's decision whether to rebuild them (even in the first
+# build by a normal user) depends on mtimes, and thus is very fragile.
+# This means that rebuilds of the prebuilt files always need to be
+# forced by deleting them, e.g., by invoking `make clean-precomp`.
+src/ecmult_static_pre_g.h:
+ $(MAKE) $(AM_MAKEFLAGS) gen_ecmult_static_pre_g$(EXEEXT)
+ ./gen_ecmult_static_pre_g$(EXEEXT)
+src/ecmult_gen_static_prec_table.h:
+ $(MAKE) $(AM_MAKEFLAGS) gen_ecmult_gen_static_prec_table$(EXEEXT)
+ ./gen_ecmult_gen_static_prec_table$(EXEEXT)
+
+PRECOMP = src/ecmult_gen_static_prec_table.h src/ecmult_static_pre_g.h
+noinst_HEADERS += $(PRECOMP)
+precomp: $(PRECOMP)
+
+# Ensure the prebuilt files will be build first (only if they don't exist,
+# e.g., after `make maintainer-clean`).
+BUILT_SOURCES = $(PRECOMP)
+
+maintainer-clean-local: clean-precomp
+
+clean-precomp:
+ rm -f $(PRECOMP)
+
+EXTRA_DIST = autogen.sh SECURITY.md
if ENABLE_MODULE_ECDH
include src/modules/ecdh/Makefile.am.include
diff --git a/src/secp256k1/README.md b/src/secp256k1/README.md
index e070937235..5fc07dd4fa 100644
--- a/src/secp256k1/README.md
+++ b/src/secp256k1/README.md
@@ -1,7 +1,7 @@
libsecp256k1
============
-[![Build Status](https://travis-ci.org/bitcoin-core/secp256k1.svg?branch=master)](https://travis-ci.org/bitcoin-core/secp256k1)
+[![Build Status](https://api.cirrus-ci.com/github/bitcoin-core/secp256k1.svg?branch=master)](https://cirrus-ci.com/github/bitcoin-core/secp256k1)
Optimized C library for ECDSA signatures and secret/public key operations on curve secp256k1.
@@ -17,6 +17,7 @@ Features:
* Suitable for embedded systems.
* Optional module for public key recovery.
* Optional module for ECDH key exchange.
+* Optional module for Schnorr signatures according to [BIP-340](https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki) (experimental).
Experimental features have not received enough scrutiny to satisfy the standard of quality of this library but are made available for testing and review by the community. The APIs of these features should not be considered stable.
@@ -34,11 +35,11 @@ Implementation details
* Optimized implementation of arithmetic modulo the curve's field size (2^256 - 0x1000003D1).
* Using 5 52-bit limbs (including hand-optimized assembly for x86_64, by Diederik Huys).
* Using 10 26-bit limbs (including hand-optimized assembly for 32-bit ARM, by Wladimir J. van der Laan).
- * Field inverses and square roots using a sliding window over blocks of 1s (by Peter Dettman).
* Scalar operations
* Optimized implementation without data-dependent branches of arithmetic modulo the curve's order.
* Using 4 64-bit limbs (relying on __int128 support in the compiler).
* Using 8 32-bit limbs.
+* Modular inverses (both field elements and scalars) based on [safegcd](https://gcd.cr.yp.to/index.html) with some modifications, and a variable-time variant (by Peter Dettman).
* Group operations
* Point addition formula specifically simplified for the curve equation (y^2 = x^3 + 7).
* Use addition between points in Jacobian and affine coordinates where possible.
@@ -65,18 +66,9 @@ libsecp256k1 is built using autotools:
$ ./autogen.sh
$ ./configure
$ make
- $ make check
+ $ make check # run the test suite
$ sudo make install # optional
-Exhaustive tests
------------
-
- $ ./exhaustive_tests
-
-With valgrind, you might need to increase the max stack size:
-
- $ valgrind --max-stackframe=2500000 ./exhaustive_tests
-
Test coverage
-----------
@@ -96,7 +88,20 @@ To create a report, `gcovr` is recommended, as it includes branch coverage repor
To create a HTML report with coloured and annotated source code:
- $ gcovr --exclude 'src/bench*' --html --html-details -o coverage.html
+ $ mkdir -p coverage
+ $ gcovr --exclude 'src/bench*' --html --html-details -o coverage/coverage.html
+
+Benchmark
+------------
+If configured with `--enable-benchmark` (which is the default), binaries for benchmarking the libsecp256k1 functions will be present in the root directory after the build.
+
+To print the benchmark result to the command line:
+
+ $ ./bench_name
+
+To create a CSV file for the benchmark result :
+
+ $ ./bench_name | sed '2d;s/ \{1,\}//g' > bench_name.csv
Reporting a vulnerability
------------
diff --git a/src/secp256k1/SECURITY.md b/src/secp256k1/SECURITY.md
index 0e4d588030..b515cc1c8e 100644
--- a/src/secp256k1/SECURITY.md
+++ b/src/secp256k1/SECURITY.md
@@ -9,7 +9,7 @@ The following keys may be used to communicate sensitive information to developer
| Name | Fingerprint |
|------|-------------|
| Pieter Wuille | 133E AC17 9436 F14A 5CF1 B794 860F EB80 4E66 9320 |
-| Andrew Poelstra | 699A 63EF C17A D3A9 A34C FFC0 7AD0 A91C 40BD 0091 |
+| Jonas Nick | 36C7 1A37 C9D9 88BD E825 08D9 B1A7 0E4F 8DCD 0366 |
| Tim Ruffing | 09E0 3F87 1092 E40E 106E 902B 33BC 86AB 80FF 5516 |
-You can import a key by running the following command with that individual’s fingerprint: `gpg --recv-keys "<fingerprint>"` Ensure that you put quotes around fingerprints containing spaces.
+You can import a key by running the following command with that individual’s fingerprint: `gpg --keyserver hkps://keys.openpgp.org --recv-keys "<fingerprint>"` Ensure that you put quotes around fingerprints containing spaces.
diff --git a/src/secp256k1/build-aux/m4/ax_prog_cc_for_build.m4 b/src/secp256k1/build-aux/m4/ax_prog_cc_for_build.m4
deleted file mode 100644
index 77fd346a79..0000000000
--- a/src/secp256k1/build-aux/m4/ax_prog_cc_for_build.m4
+++ /dev/null
@@ -1,125 +0,0 @@
-# ===========================================================================
-# http://www.gnu.org/software/autoconf-archive/ax_prog_cc_for_build.html
-# ===========================================================================
-#
-# SYNOPSIS
-#
-# AX_PROG_CC_FOR_BUILD
-#
-# DESCRIPTION
-#
-# This macro searches for a C compiler that generates native executables,
-# that is a C compiler that surely is not a cross-compiler. This can be
-# useful if you have to generate source code at compile-time like for
-# example GCC does.
-#
-# The macro sets the CC_FOR_BUILD and CPP_FOR_BUILD macros to anything
-# needed to compile or link (CC_FOR_BUILD) and preprocess (CPP_FOR_BUILD).
-# The value of these variables can be overridden by the user by specifying
-# a compiler with an environment variable (like you do for standard CC).
-#
-# It also sets BUILD_EXEEXT and BUILD_OBJEXT to the executable and object
-# file extensions for the build platform, and GCC_FOR_BUILD to `yes' if
-# the compiler we found is GCC. All these variables but GCC_FOR_BUILD are
-# substituted in the Makefile.
-#
-# LICENSE
-#
-# Copyright (c) 2008 Paolo Bonzini <bonzini@gnu.org>
-#
-# Copying and distribution of this file, with or without modification, are
-# permitted in any medium without royalty provided the copyright notice
-# and this notice are preserved. This file is offered as-is, without any
-# warranty.
-
-#serial 8
-
-AU_ALIAS([AC_PROG_CC_FOR_BUILD], [AX_PROG_CC_FOR_BUILD])
-AC_DEFUN([AX_PROG_CC_FOR_BUILD], [dnl
-AC_REQUIRE([AC_PROG_CC])dnl
-AC_REQUIRE([AC_PROG_CPP])dnl
-AC_REQUIRE([AC_EXEEXT])dnl
-AC_REQUIRE([AC_CANONICAL_HOST])dnl
-
-dnl Use the standard macros, but make them use other variable names
-dnl
-pushdef([ac_cv_prog_CPP], ac_cv_build_prog_CPP)dnl
-pushdef([ac_cv_prog_gcc], ac_cv_build_prog_gcc)dnl
-pushdef([ac_cv_prog_cc_works], ac_cv_build_prog_cc_works)dnl
-pushdef([ac_cv_prog_cc_cross], ac_cv_build_prog_cc_cross)dnl
-pushdef([ac_cv_prog_cc_g], ac_cv_build_prog_cc_g)dnl
-pushdef([ac_cv_exeext], ac_cv_build_exeext)dnl
-pushdef([ac_cv_objext], ac_cv_build_objext)dnl
-pushdef([ac_exeext], ac_build_exeext)dnl
-pushdef([ac_objext], ac_build_objext)dnl
-pushdef([CC], CC_FOR_BUILD)dnl
-pushdef([CPP], CPP_FOR_BUILD)dnl
-pushdef([CFLAGS], CFLAGS_FOR_BUILD)dnl
-pushdef([CPPFLAGS], CPPFLAGS_FOR_BUILD)dnl
-pushdef([LDFLAGS], LDFLAGS_FOR_BUILD)dnl
-pushdef([host], build)dnl
-pushdef([host_alias], build_alias)dnl
-pushdef([host_cpu], build_cpu)dnl
-pushdef([host_vendor], build_vendor)dnl
-pushdef([host_os], build_os)dnl
-pushdef([ac_cv_host], ac_cv_build)dnl
-pushdef([ac_cv_host_alias], ac_cv_build_alias)dnl
-pushdef([ac_cv_host_cpu], ac_cv_build_cpu)dnl
-pushdef([ac_cv_host_vendor], ac_cv_build_vendor)dnl
-pushdef([ac_cv_host_os], ac_cv_build_os)dnl
-pushdef([ac_cpp], ac_build_cpp)dnl
-pushdef([ac_compile], ac_build_compile)dnl
-pushdef([ac_link], ac_build_link)dnl
-
-save_cross_compiling=$cross_compiling
-save_ac_tool_prefix=$ac_tool_prefix
-cross_compiling=no
-ac_tool_prefix=
-
-AC_PROG_CC
-AC_PROG_CPP
-AC_EXEEXT
-
-ac_tool_prefix=$save_ac_tool_prefix
-cross_compiling=$save_cross_compiling
-
-dnl Restore the old definitions
-dnl
-popdef([ac_link])dnl
-popdef([ac_compile])dnl
-popdef([ac_cpp])dnl
-popdef([ac_cv_host_os])dnl
-popdef([ac_cv_host_vendor])dnl
-popdef([ac_cv_host_cpu])dnl
-popdef([ac_cv_host_alias])dnl
-popdef([ac_cv_host])dnl
-popdef([host_os])dnl
-popdef([host_vendor])dnl
-popdef([host_cpu])dnl
-popdef([host_alias])dnl
-popdef([host])dnl
-popdef([LDFLAGS])dnl
-popdef([CPPFLAGS])dnl
-popdef([CFLAGS])dnl
-popdef([CPP])dnl
-popdef([CC])dnl
-popdef([ac_objext])dnl
-popdef([ac_exeext])dnl
-popdef([ac_cv_objext])dnl
-popdef([ac_cv_exeext])dnl
-popdef([ac_cv_prog_cc_g])dnl
-popdef([ac_cv_prog_cc_cross])dnl
-popdef([ac_cv_prog_cc_works])dnl
-popdef([ac_cv_prog_gcc])dnl
-popdef([ac_cv_prog_CPP])dnl
-
-dnl Finally, set Makefile variables
-dnl
-BUILD_EXEEXT=$ac_build_exeext
-BUILD_OBJEXT=$ac_build_objext
-AC_SUBST(BUILD_EXEEXT)dnl
-AC_SUBST(BUILD_OBJEXT)dnl
-AC_SUBST([CFLAGS_FOR_BUILD])dnl
-AC_SUBST([CPPFLAGS_FOR_BUILD])dnl
-AC_SUBST([LDFLAGS_FOR_BUILD])dnl
-])
diff --git a/src/secp256k1/build-aux/m4/bitcoin_secp.m4 b/src/secp256k1/build-aux/m4/bitcoin_secp.m4
index ece3d655ed..c14d09fa1b 100644
--- a/src/secp256k1/build-aux/m4/bitcoin_secp.m4
+++ b/src/secp256k1/build-aux/m4/bitcoin_secp.m4
@@ -9,81 +9,32 @@ AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
AC_MSG_RESULT([$has_64bit_asm])
])
-dnl
-AC_DEFUN([SECP_OPENSSL_CHECK],[
- has_libcrypto=no
- m4_ifdef([PKG_CHECK_MODULES],[
- PKG_CHECK_MODULES([CRYPTO], [libcrypto], [has_libcrypto=yes],[has_libcrypto=no])
- if test x"$has_libcrypto" = x"yes"; then
- TEMP_LIBS="$LIBS"
- LIBS="$LIBS $CRYPTO_LIBS"
- AC_CHECK_LIB(crypto, main,[AC_DEFINE(HAVE_LIBCRYPTO,1,[Define this symbol if libcrypto is installed])],[has_libcrypto=no])
- LIBS="$TEMP_LIBS"
- fi
- ])
- if test x$has_libcrypto = xno; then
- AC_CHECK_HEADER(openssl/crypto.h,[
- AC_CHECK_LIB(crypto, main,[
- has_libcrypto=yes
- CRYPTO_LIBS=-lcrypto
- AC_DEFINE(HAVE_LIBCRYPTO,1,[Define this symbol if libcrypto is installed])
- ])
- ])
- LIBS=
- fi
-if test x"$has_libcrypto" = x"yes" && test x"$has_openssl_ec" = x; then
- AC_MSG_CHECKING(for EC functions in libcrypto)
+AC_DEFUN([SECP_VALGRIND_CHECK],[
+if test x"$has_valgrind" != x"yes"; then
CPPFLAGS_TEMP="$CPPFLAGS"
- CPPFLAGS="$CRYPTO_CPPFLAGS $CPPFLAGS"
+ CPPFLAGS="$VALGRIND_CPPFLAGS $CPPFLAGS"
AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
- #include <openssl/bn.h>
- #include <openssl/ec.h>
- #include <openssl/ecdsa.h>
- #include <openssl/obj_mac.h>]],[[
- # if OPENSSL_VERSION_NUMBER < 0x10100000L
- void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps) {(void)sig->r; (void)sig->s;}
- # endif
-
- unsigned int zero = 0;
- const unsigned char *zero_ptr = (unsigned char*)&zero;
- EC_KEY_free(EC_KEY_new_by_curve_name(NID_secp256k1));
- EC_KEY *eckey = EC_KEY_new();
- EC_GROUP *group = EC_GROUP_new_by_curve_name(NID_secp256k1);
- EC_KEY_set_group(eckey, group);
- ECDSA_sign(0, NULL, 0, NULL, &zero, eckey);
- ECDSA_verify(0, NULL, 0, NULL, 0, eckey);
- o2i_ECPublicKey(&eckey, &zero_ptr, 0);
- d2i_ECPrivateKey(&eckey, &zero_ptr, 0);
- EC_KEY_check_key(eckey);
- EC_KEY_free(eckey);
- EC_GROUP_free(group);
- ECDSA_SIG *sig_openssl;
- sig_openssl = ECDSA_SIG_new();
- d2i_ECDSA_SIG(&sig_openssl, &zero_ptr, 0);
- i2d_ECDSA_SIG(sig_openssl, NULL);
- ECDSA_SIG_get0(sig_openssl, NULL, NULL);
- ECDSA_SIG_free(sig_openssl);
- const BIGNUM *bignum = BN_value_one();
- BN_is_negative(bignum);
- BN_num_bits(bignum);
- if (sizeof(zero) >= BN_num_bytes(bignum)) {
- BN_bn2bin(bignum, (unsigned char*)&zero);
- }
- ]])],[has_openssl_ec=yes],[has_openssl_ec=no])
- AC_MSG_RESULT([$has_openssl_ec])
- CPPFLAGS="$CPPFLAGS_TEMP"
+ #include <valgrind/memcheck.h>
+ ]], [[
+ #if defined(NVALGRIND)
+ # error "Valgrind does not support this platform."
+ #endif
+ ]])], [has_valgrind=yes; AC_DEFINE(HAVE_VALGRIND,1,[Define this symbol if valgrind is installed, and it supports the host platform])])
fi
])
-dnl
-AC_DEFUN([SECP_GMP_CHECK],[
-if test x"$has_gmp" != x"yes"; then
- CPPFLAGS_TEMP="$CPPFLAGS"
- CPPFLAGS="$GMP_CPPFLAGS $CPPFLAGS"
- LIBS_TEMP="$LIBS"
- LIBS="$GMP_LIBS $LIBS"
- AC_CHECK_HEADER(gmp.h,[AC_CHECK_LIB(gmp, __gmpz_init,[has_gmp=yes; GMP_LIBS="$GMP_LIBS -lgmp"; AC_DEFINE(HAVE_LIBGMP,1,[Define this symbol if libgmp is installed])])])
- CPPFLAGS="$CPPFLAGS_TEMP"
- LIBS="$LIBS_TEMP"
-fi
+dnl SECP_TRY_APPEND_CFLAGS(flags, VAR)
+dnl Append flags to VAR if CC accepts them.
+AC_DEFUN([SECP_TRY_APPEND_CFLAGS], [
+ AC_MSG_CHECKING([if ${CC} supports $1])
+ SECP_TRY_APPEND_CFLAGS_saved_CFLAGS="$CFLAGS"
+ CFLAGS="$1 $CFLAGS"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])], [flag_works=yes], [flag_works=no])
+ AC_MSG_RESULT($flag_works)
+ CFLAGS="$SECP_TRY_APPEND_CFLAGS_saved_CFLAGS"
+ if test x"$flag_works" = x"yes"; then
+ $2="$$2 $1"
+ fi
+ unset flag_works
+ AC_SUBST($2)
])
diff --git a/src/secp256k1/ci/cirrus.sh b/src/secp256k1/ci/cirrus.sh
new file mode 100755
index 0000000000..e27b34782e
--- /dev/null
+++ b/src/secp256k1/ci/cirrus.sh
@@ -0,0 +1,66 @@
+#!/bin/sh
+
+set -e
+set -x
+
+export LC_ALL=C
+
+env >> test_env.log
+
+$CC -v || true
+valgrind --version || true
+
+./autogen.sh
+
+./configure \
+ --enable-experimental="$EXPERIMENTAL" \
+ --with-test-override-wide-multiply="$WIDEMUL" --with-asm="$ASM" \
+ --enable-ecmult-static-precomputation="$STATICPRECOMPUTATION" --with-ecmult-gen-precision="$ECMULTGENPRECISION" \
+ --enable-module-ecdh="$ECDH" --enable-module-recovery="$RECOVERY" \
+ --enable-module-schnorrsig="$SCHNORRSIG" \
+ --with-valgrind="$WITH_VALGRIND" \
+ --host="$HOST" $EXTRAFLAGS
+
+# We have set "-j<n>" in MAKEFLAGS.
+make
+
+# Print information about binaries so that we can see that the architecture is correct
+file *tests* || true
+file bench* || true
+file .libs/* || true
+
+# This tells `make check` to wrap test invocations.
+export LOG_COMPILER="$WRAPPER_CMD"
+
+make "$BUILD"
+
+if [ "$BENCH" = "yes" ]
+then
+ # Using the local `libtool` because on macOS the system's libtool has nothing to do with GNU libtool
+ EXEC='./libtool --mode=execute'
+ if [ -n "$WRAPPER_CMD" ]
+ then
+ EXEC="$EXEC $WRAPPER_CMD"
+ fi
+ {
+ $EXEC ./bench_ecmult
+ $EXEC ./bench_internal
+ $EXEC ./bench
+ } >> bench.log 2>&1
+fi
+
+if [ "$CTIMETEST" = "yes" ]
+then
+ ./libtool --mode=execute valgrind --error-exitcode=42 ./valgrind_ctime_test > valgrind_ctime_test.log 2>&1
+fi
+
+# Rebuild precomputed files (if not cross-compiling).
+if [ -z "$HOST" ]
+then
+ make clean-precomp
+ make precomp
+fi
+
+# Check that no repo files have been modified by the build.
+# (This fails for example if the precomp files need to be updated in the repo.)
+git diff --exit-code
diff --git a/src/secp256k1/ci/linux-debian.Dockerfile b/src/secp256k1/ci/linux-debian.Dockerfile
new file mode 100644
index 0000000000..fdba12aa00
--- /dev/null
+++ b/src/secp256k1/ci/linux-debian.Dockerfile
@@ -0,0 +1,25 @@
+FROM debian:stable
+
+RUN dpkg --add-architecture i386
+RUN dpkg --add-architecture s390x
+RUN dpkg --add-architecture armhf
+RUN dpkg --add-architecture arm64
+RUN dpkg --add-architecture ppc64el
+RUN apt-get update
+
+# dkpg-dev: to make pkg-config work in cross-builds
+# llvm: for llvm-symbolizer, which is used by clang's UBSan for symbolized stack traces
+RUN apt-get install --no-install-recommends --no-upgrade -y \
+ git ca-certificates \
+ make automake libtool pkg-config dpkg-dev valgrind qemu-user \
+ gcc clang llvm libc6-dbg \
+ g++ \
+ gcc-i686-linux-gnu libc6-dev-i386-cross libc6-dbg:i386 libubsan1:i386 libasan6:i386 \
+ gcc-s390x-linux-gnu libc6-dev-s390x-cross libc6-dbg:s390x \
+ gcc-arm-linux-gnueabihf libc6-dev-armhf-cross libc6-dbg:armhf \
+ gcc-aarch64-linux-gnu libc6-dev-arm64-cross libc6-dbg:arm64 \
+ gcc-powerpc64le-linux-gnu libc6-dev-ppc64el-cross libc6-dbg:ppc64el \
+ wine gcc-mingw-w64-x86-64
+
+# Run a dummy command in wine to make it set up configuration
+RUN wine64-stable xcopy || true
diff --git a/src/secp256k1/configure.ac b/src/secp256k1/configure.ac
index eb3b449bec..94feea7bb7 100644
--- a/src/secp256k1/configure.ac
+++ b/src/secp256k1/configure.ac
@@ -8,13 +8,9 @@ AH_TOP([#define LIBSECP256K1_CONFIG_H])
AH_BOTTOM([#endif /*LIBSECP256K1_CONFIG_H*/])
AM_INIT_AUTOMAKE([foreign subdir-objects])
-# Set -g if CFLAGS are not already set, which matches the default autoconf
-# behavior (see PROG_CC in the Autoconf manual) with the exception that we don't
-# set -O2 here because we set it in any case (see further down).
-: ${CFLAGS="-g"}
-LT_INIT
+LT_INIT([win32-dll])
-dnl make the compilation flags quiet unless V=1 is used
+# Make the compilation flags quiet unless V=1 is used.
m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])])
PKG_PROG_PKG_CONFIG
@@ -22,10 +18,8 @@ PKG_PROG_PKG_CONFIG
AC_PATH_TOOL(AR, ar)
AC_PATH_TOOL(RANLIB, ranlib)
AC_PATH_TOOL(STRIP, strip)
-AX_PROG_CC_FOR_BUILD
AM_PROG_CC_C_O
-
AC_PROG_CC_C89
if test x"$ac_cv_prog_cc_c89" = x"no"; then
AC_MSG_ERROR([c89 compiler support required])
@@ -35,28 +29,20 @@ AM_PROG_AS
case $host_os in
*darwin*)
if test x$cross_compiling != xyes; then
- AC_PATH_PROG([BREW],brew,)
- if test x$BREW != x; then
- dnl These Homebrew packages may be keg-only, meaning that they won't be found
- dnl in expected paths because they may conflict with system files. Ask
- dnl Homebrew where each one is located, then adjust paths accordingly.
-
- openssl_prefix=`$BREW --prefix openssl 2>/dev/null`
- gmp_prefix=`$BREW --prefix gmp 2>/dev/null`
- if test x$openssl_prefix != x; then
- PKG_CONFIG_PATH="$openssl_prefix/lib/pkgconfig:$PKG_CONFIG_PATH"
- export PKG_CONFIG_PATH
- CRYPTO_CPPFLAGS="-I$openssl_prefix/include"
- fi
- if test x$gmp_prefix != x; then
- GMP_CPPFLAGS="-I$gmp_prefix/include"
- GMP_LIBS="-L$gmp_prefix/lib"
+ AC_CHECK_PROG([BREW], brew, brew)
+ if test x$BREW = xbrew; then
+ # These Homebrew packages may be keg-only, meaning that they won't be found
+ # in expected paths because they may conflict with system files. Ask
+ # Homebrew where each one is located, then adjust paths accordingly.
+ if $BREW list --versions valgrind >/dev/null; then
+ valgrind_prefix=$($BREW --prefix valgrind 2>/dev/null)
+ VALGRIND_CPPFLAGS="-I$valgrind_prefix/include"
fi
else
- AC_PATH_PROG([PORT],port,)
- dnl if homebrew isn't installed and macports is, add the macports default paths
- dnl as a last resort.
- if test x$PORT != x; then
+ AC_CHECK_PROG([PORT], port, port)
+ # If homebrew isn't installed and macports is, add the macports default paths
+ # as a last resort.
+ if test x$PORT = xport; then
CPPFLAGS="$CPPFLAGS -isystem /opt/local/include"
LDFLAGS="$LDFLAGS -L/opt/local/lib"
fi
@@ -65,26 +51,45 @@ case $host_os in
;;
esac
-CFLAGS="-W $CFLAGS"
-
-warn_CFLAGS="-std=c89 -pedantic -Wall -Wextra -Wcast-align -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef -Wno-unused-function -Wno-long-long -Wno-overlength-strings"
-saved_CFLAGS="$CFLAGS"
-CFLAGS="$warn_CFLAGS $CFLAGS"
-AC_MSG_CHECKING([if ${CC} supports ${warn_CFLAGS}])
-AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])],
- [ AC_MSG_RESULT([yes]) ],
- [ AC_MSG_RESULT([no])
- CFLAGS="$saved_CFLAGS"
- ])
-
-saved_CFLAGS="$CFLAGS"
-CFLAGS="-fvisibility=hidden $CFLAGS"
-AC_MSG_CHECKING([if ${CC} supports -fvisibility=hidden])
-AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])],
- [ AC_MSG_RESULT([yes]) ],
- [ AC_MSG_RESULT([no])
- CFLAGS="$saved_CFLAGS"
- ])
+# Try if some desirable compiler flags are supported and append them to SECP_CFLAGS.
+#
+# These are our own flags, so we append them to our own SECP_CFLAGS variable (instead of CFLAGS) as
+# recommended in the automake manual (Section "Flag Variables Ordering"). CFLAGS belongs to the user
+# and we are not supposed to touch it. In the Makefile, we will need to ensure that SECP_CFLAGS
+# is prepended to CFLAGS when invoking the compiler so that the user always has the last word (flag).
+#
+# Another advantage of not touching CFLAGS is that the contents of CFLAGS will be picked up by
+# libtool for compiling helper executables. For example, when compiling for Windows, libtool will
+# generate entire wrapper executables (instead of simple wrapper scripts as on Unix) to ensure
+# proper operation of uninstalled programs linked by libtool against the uninstalled shared library.
+# These executables are compiled from C source file for which our flags may not be appropriate,
+# e.g., -std=c89 flag has lead to undesirable warnings in the past.
+#
+# TODO We should analogously not touch CPPFLAGS and LDFLAGS but currently there are no issues.
+AC_DEFUN([SECP_TRY_APPEND_DEFAULT_CFLAGS], [
+ # Try to append -Werror=unknown-warning-option to CFLAGS temporarily. Otherwise clang will
+ # not error out if it gets unknown warning flags and the checks here will always succeed
+ # no matter if clang knows the flag or not.
+ SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS="$CFLAGS"
+ SECP_TRY_APPEND_CFLAGS([-Werror=unknown-warning-option], CFLAGS)
+
+ SECP_TRY_APPEND_CFLAGS([-std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef], $1) # GCC >= 3.0, -Wlong-long is implied by -pedantic.
+ SECP_TRY_APPEND_CFLAGS([-Wno-overlength-strings], $1) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic.
+ SECP_TRY_APPEND_CFLAGS([-Wall], $1) # GCC >= 2.95 and probably many other compilers
+ SECP_TRY_APPEND_CFLAGS([-Wno-unused-function], $1) # GCC >= 3.0, -Wunused-function is implied by -Wall.
+ SECP_TRY_APPEND_CFLAGS([-Wextra], $1) # GCC >= 3.4, this is the newer name of -W, which we don't use because older GCCs will warn about unused functions.
+ SECP_TRY_APPEND_CFLAGS([-Wcast-align], $1) # GCC >= 2.95
+ SECP_TRY_APPEND_CFLAGS([-Wcast-align=strict], $1) # GCC >= 8.0
+ SECP_TRY_APPEND_CFLAGS([-Wconditional-uninitialized], $1) # Clang >= 3.0 only
+ SECP_TRY_APPEND_CFLAGS([-fvisibility=hidden], $1) # GCC >= 4.0
+
+ CFLAGS="$SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS"
+])
+SECP_TRY_APPEND_DEFAULT_CFLAGS(SECP_CFLAGS)
+
+###
+### Define config arguments
+###
AC_ARG_ENABLE(benchmark,
AS_HELP_STRING([--enable-benchmark],[compile benchmark [default=yes]]),
@@ -101,11 +106,6 @@ AC_ARG_ENABLE(tests,
[use_tests=$enableval],
[use_tests=yes])
-AC_ARG_ENABLE(openssl_tests,
- AS_HELP_STRING([--enable-openssl-tests],[enable OpenSSL tests [default=auto]]),
- [enable_openssl_tests=$enableval],
- [enable_openssl_tests=auto])
-
AC_ARG_ENABLE(experimental,
AS_HELP_STRING([--enable-experimental],[allow experimental configure options [default=no]]),
[use_experimental=$enableval],
@@ -116,11 +116,6 @@ AC_ARG_ENABLE(exhaustive_tests,
[use_exhaustive_tests=$enableval],
[use_exhaustive_tests=yes])
-AC_ARG_ENABLE(ecmult_static_precomputation,
- AS_HELP_STRING([--enable-ecmult-static-precomputation],[enable precomputed ecmult table for signing [default=auto]]),
- [use_ecmult_static_precomputation=$enableval],
- [use_ecmult_static_precomputation=auto])
-
AC_ARG_ENABLE(module_ecdh,
AS_HELP_STRING([--enable-module-ecdh],[enable ECDH shared secret computation]),
[enable_module_ecdh=$enableval],
@@ -146,20 +141,19 @@ AC_ARG_ENABLE(external_default_callbacks,
[use_external_default_callbacks=$enableval],
[use_external_default_callbacks=no])
-dnl Test-only override of the (autodetected by the C code) "widemul" setting.
-dnl Legal values are int64 (for [u]int64_t), int128 (for [unsigned] __int128), and auto (the default).
+# Test-only override of the (autodetected by the C code) "widemul" setting.
+# Legal values are int64 (for [u]int64_t), int128 (for [unsigned] __int128), and auto (the default).
AC_ARG_WITH([test-override-wide-multiply], [] ,[set_widemul=$withval], [set_widemul=auto])
-AC_ARG_WITH([bignum], [AS_HELP_STRING([--with-bignum=gmp|no|auto],
-[bignum implementation to use [default=auto]])],[req_bignum=$withval], [req_bignum=auto])
-
AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|arm|no|auto],
-[assembly optimizations to use (experimental: arm) [default=auto]])],[req_asm=$withval], [req_asm=auto])
+[assembly optimizations to use (experimental: arm) [default=auto]])],[req_asm=$withval], [req_asm=auto])
AC_ARG_WITH([ecmult-window], [AS_HELP_STRING([--with-ecmult-window=SIZE|auto],
[window size for ecmult precomputation for verification, specified as integer in range [2..24].]
[Larger values result in possibly better performance at the cost of an exponentially larger precomputed table.]
[The table will store 2^(SIZE-1) * 64 bytes of data but can be larger in memory due to platform-specific padding and alignment.]
+[A window size larger than 15 will require you delete the prebuilt ecmult_static_pre_g.h file so that it can be rebuilt.]
+[For very large window sizes, use "make -j 1" to reduce memory use during compilation.]
["auto" is a reasonable setting for desktop machines (currently 15). [default=auto]]
)],
[req_ecmult_window=$withval], [req_ecmult_window=auto])
@@ -177,79 +171,34 @@ AC_ARG_WITH([valgrind], [AS_HELP_STRING([--with-valgrind=yes|no|auto],
)],
[req_valgrind=$withval], [req_valgrind=auto])
+###
+### Handle config options (except for modules)
+###
+
if test x"$req_valgrind" = x"no"; then
enable_valgrind=no
else
- AC_CHECK_HEADER([valgrind/memcheck.h], [enable_valgrind=yes], [
+ SECP_VALGRIND_CHECK
+ if test x"$has_valgrind" != x"yes"; then
if test x"$req_valgrind" = x"yes"; then
AC_MSG_ERROR([Valgrind support explicitly requested but valgrind/memcheck.h header not available])
fi
enable_valgrind=no
- ], [])
+ else
+ enable_valgrind=yes
+ fi
fi
AM_CONDITIONAL([VALGRIND_ENABLED],[test "$enable_valgrind" = "yes"])
if test x"$enable_coverage" = x"yes"; then
AC_DEFINE(COVERAGE, 1, [Define this symbol to compile out all VERIFY code])
- CFLAGS="-O0 --coverage $CFLAGS"
+ SECP_CFLAGS="-O0 --coverage $SECP_CFLAGS"
LDFLAGS="--coverage $LDFLAGS"
else
- CFLAGS="-O2 $CFLAGS"
-fi
-
-if test x"$use_ecmult_static_precomputation" != x"no"; then
- # Temporarily switch to an environment for the native compiler
- save_cross_compiling=$cross_compiling
- cross_compiling=no
- SAVE_CC="$CC"
- CC="$CC_FOR_BUILD"
- SAVE_CFLAGS="$CFLAGS"
- CFLAGS="$CFLAGS_FOR_BUILD"
- SAVE_CPPFLAGS="$CPPFLAGS"
- CPPFLAGS="$CPPFLAGS_FOR_BUILD"
- SAVE_LDFLAGS="$LDFLAGS"
- LDFLAGS="$LDFLAGS_FOR_BUILD"
-
- warn_CFLAGS_FOR_BUILD="-Wall -Wextra -Wno-unused-function"
- saved_CFLAGS="$CFLAGS"
- CFLAGS="$warn_CFLAGS_FOR_BUILD $CFLAGS"
- AC_MSG_CHECKING([if native ${CC_FOR_BUILD} supports ${warn_CFLAGS_FOR_BUILD}])
- AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])],
- [ AC_MSG_RESULT([yes]) ],
- [ AC_MSG_RESULT([no])
- CFLAGS="$saved_CFLAGS"
- ])
-
- AC_MSG_CHECKING([for working native compiler: ${CC_FOR_BUILD}])
- AC_RUN_IFELSE(
- [AC_LANG_PROGRAM([], [])],
- [working_native_cc=yes],
- [working_native_cc=no],[:])
-
- CFLAGS_FOR_BUILD="$CFLAGS"
-
- # Restore the environment
- cross_compiling=$save_cross_compiling
- CC="$SAVE_CC"
- CFLAGS="$SAVE_CFLAGS"
- CPPFLAGS="$SAVE_CPPFLAGS"
- LDFLAGS="$SAVE_LDFLAGS"
-
- if test x"$working_native_cc" = x"no"; then
- AC_MSG_RESULT([no])
- set_precomp=no
- m4_define([please_set_for_build], [Please set CC_FOR_BUILD, CFLAGS_FOR_BUILD, CPPFLAGS_FOR_BUILD, and/or LDFLAGS_FOR_BUILD.])
- if test x"$use_ecmult_static_precomputation" = x"yes"; then
- AC_MSG_ERROR([native compiler ${CC_FOR_BUILD} does not produce working binaries. please_set_for_build])
- else
- AC_MSG_WARN([Disabling statically generated ecmult table because the native compiler ${CC_FOR_BUILD} does not produce working binaries. please_set_for_build])
- fi
- else
- AC_MSG_RESULT([yes])
- set_precomp=yes
- fi
-else
- set_precomp=no
+ # Most likely the CFLAGS already contain -O2 because that is autoconf's default.
+ # We still add it here because passing it twice is not an issue, and handling
+ # this case would just add unnecessary complexity (see #896).
+ SECP_CFLAGS="-O2 $SECP_CFLAGS"
fi
if test x"$req_asm" = x"auto"; then
@@ -279,33 +228,7 @@ else
esac
fi
-if test x"$req_bignum" = x"auto"; then
- SECP_GMP_CHECK
- if test x"$has_gmp" = x"yes"; then
- set_bignum=gmp
- fi
-
- if test x"$set_bignum" = x; then
- set_bignum=no
- fi
-else
- set_bignum=$req_bignum
- case $set_bignum in
- gmp)
- SECP_GMP_CHECK
- if test x"$has_gmp" != x"yes"; then
- AC_MSG_ERROR([gmp bignum explicitly requested but libgmp not available])
- fi
- ;;
- no)
- ;;
- *)
- AC_MSG_ERROR([invalid bignum implementation selection])
- ;;
- esac
-fi
-
-# select assembly optimization
+# Select assembly optimization
use_external_asm=no
case $set_asm in
@@ -322,7 +245,12 @@ no)
;;
esac
-# select wide multiplication implementation
+if test x"$use_external_asm" = x"yes"; then
+ AC_DEFINE(USE_EXTERNAL_ASM, 1, [Define this symbol if an external (non-inline) assembly implementation is used])
+fi
+
+
+# Select wide multiplication implementation
case $set_widemul in
int128)
AC_DEFINE(USE_FORCE_WIDEMUL_INT128, 1, [Define this symbol to force the use of the (unsigned) __int128 based wide multiplication implementation])
@@ -337,25 +265,7 @@ auto)
;;
esac
-# select bignum implementation
-case $set_bignum in
-gmp)
- AC_DEFINE(HAVE_LIBGMP, 1, [Define this symbol if libgmp is installed])
- AC_DEFINE(USE_NUM_GMP, 1, [Define this symbol to use the gmp implementation for num])
- AC_DEFINE(USE_FIELD_INV_NUM, 1, [Define this symbol to use the num-based field inverse implementation])
- AC_DEFINE(USE_SCALAR_INV_NUM, 1, [Define this symbol to use the num-based scalar inverse implementation])
- ;;
-no)
- AC_DEFINE(USE_NUM_NONE, 1, [Define this symbol to use no num implementation])
- AC_DEFINE(USE_FIELD_INV_BUILTIN, 1, [Define this symbol to use the native field inverse implementation])
- AC_DEFINE(USE_SCALAR_INV_BUILTIN, 1, [Define this symbol to use the native scalar inverse implementation])
- ;;
-*)
- AC_MSG_ERROR([invalid bignum implementation])
- ;;
-esac
-
-#set ecmult window size
+# Set ecmult window size
if test x"$req_ecmult_window" = x"auto"; then
set_ecmult_window=15
else
@@ -377,7 +287,7 @@ case $set_ecmult_window in
;;
esac
-#set ecmult gen precision
+# Set ecmult gen precision
if test x"$req_ecmult_gen_precision" = x"auto"; then
set_ecmult_gen_precision=4
else
@@ -393,40 +303,16 @@ case $set_ecmult_gen_precision in
;;
esac
-if test x"$use_tests" = x"yes"; then
- SECP_OPENSSL_CHECK
- if test x"$enable_openssl_tests" != x"no" && test x"$has_openssl_ec" = x"yes"; then
- enable_openssl_tests=yes
- AC_DEFINE(ENABLE_OPENSSL_TESTS, 1, [Define this symbol if OpenSSL EC functions are available])
- SECP_TEST_INCLUDES="$SSL_CFLAGS $CRYPTO_CFLAGS $CRYPTO_CPPFLAGS"
- SECP_TEST_LIBS="$CRYPTO_LIBS"
-
- case $host in
- *mingw*)
- SECP_TEST_LIBS="$SECP_TEST_LIBS -lgdi32"
- ;;
- esac
- else
- if test x"$enable_openssl_tests" = x"yes"; then
- AC_MSG_ERROR([OpenSSL tests requested but OpenSSL with EC support is not available])
- fi
- enable_openssl_tests=no
- fi
-else
- if test x"$enable_openssl_tests" = x"yes"; then
- AC_MSG_ERROR([OpenSSL tests requested but tests are not enabled])
- fi
- enable_openssl_tests=no
+if test x"$enable_valgrind" = x"yes"; then
+ SECP_INCLUDES="$SECP_INCLUDES $VALGRIND_CPPFLAGS"
fi
-if test x"$set_bignum" = x"gmp"; then
- SECP_LIBS="$SECP_LIBS $GMP_LIBS"
- SECP_INCLUDES="$SECP_INCLUDES $GMP_CPPFLAGS"
-fi
+# Add -Werror and similar flags passed from the outside (for testing, e.g., in CI)
+SECP_CFLAGS="$SECP_CFLAGS $WERROR_CFLAGS"
-if test x"$set_precomp" = x"yes"; then
- AC_DEFINE(USE_ECMULT_STATIC_PRECOMPUTATION, 1, [Define this symbol to use a statically generated ecmult table])
-fi
+###
+### Handle module options
+###
if test x"$enable_module_ecdh" = x"yes"; then
AC_DEFINE(ENABLE_MODULE_ECDH, 1, [Define this symbol to enable the ECDH module])
@@ -447,14 +333,14 @@ if test x"$enable_module_extrakeys" = x"yes"; then
AC_DEFINE(ENABLE_MODULE_EXTRAKEYS, 1, [Define this symbol to enable the extrakeys module])
fi
-if test x"$use_external_asm" = x"yes"; then
- AC_DEFINE(USE_EXTERNAL_ASM, 1, [Define this symbol if an external (non-inline) assembly implementation is used])
-fi
-
if test x"$use_external_default_callbacks" = x"yes"; then
AC_DEFINE(USE_EXTERNAL_DEFAULT_CALLBACKS, 1, [Define this symbol if an external implementation of the default callbacks is used])
fi
+###
+### Check for --enable-experimental if necessary
+###
+
if test x"$enable_experimental" = x"yes"; then
AC_MSG_NOTICE([******])
AC_MSG_NOTICE([WARNING: experimental build])
@@ -474,17 +360,21 @@ else
fi
fi
+###
+### Generate output
+###
+
AC_CONFIG_HEADERS([src/libsecp256k1-config.h])
AC_CONFIG_FILES([Makefile libsecp256k1.pc])
AC_SUBST(SECP_INCLUDES)
AC_SUBST(SECP_LIBS)
AC_SUBST(SECP_TEST_LIBS)
AC_SUBST(SECP_TEST_INCLUDES)
+AC_SUBST(SECP_CFLAGS)
AM_CONDITIONAL([ENABLE_COVERAGE], [test x"$enable_coverage" = x"yes"])
AM_CONDITIONAL([USE_TESTS], [test x"$use_tests" != x"no"])
AM_CONDITIONAL([USE_EXHAUSTIVE_TESTS], [test x"$use_exhaustive_tests" != x"no"])
AM_CONDITIONAL([USE_BENCHMARK], [test x"$use_benchmark" = x"yes"])
-AM_CONDITIONAL([USE_ECMULT_STATIC_PRECOMPUTATION], [test x"$set_precomp" = x"yes"])
AM_CONDITIONAL([ENABLE_MODULE_ECDH], [test x"$enable_module_ecdh" = x"yes"])
AM_CONDITIONAL([ENABLE_MODULE_RECOVERY], [test x"$enable_module_recovery" = x"yes"])
AM_CONDITIONAL([ENABLE_MODULE_EXTRAKEYS], [test x"$enable_module_extrakeys" = x"yes"])
@@ -492,7 +382,7 @@ AM_CONDITIONAL([ENABLE_MODULE_SCHNORRSIG], [test x"$enable_module_schnorrsig" =
AM_CONDITIONAL([USE_EXTERNAL_ASM], [test x"$use_external_asm" = x"yes"])
AM_CONDITIONAL([USE_ASM_ARM], [test x"$set_asm" = x"arm"])
-dnl make sure nothing new is exported so that we don't break the cache
+# Make sure nothing new is exported so that we don't break the cache.
PKGCONFIG_PATH_TEMP="$PKG_CONFIG_PATH"
unset PKG_CONFIG_PATH
PKG_CONFIG_PATH="$PKGCONFIG_PATH_TEMP"
@@ -501,11 +391,9 @@ AC_OUTPUT
echo
echo "Build Options:"
-echo " with ecmult precomp = $set_precomp"
echo " with external callbacks = $use_external_default_callbacks"
echo " with benchmarks = $use_benchmark"
echo " with tests = $use_tests"
-echo " with openssl tests = $enable_openssl_tests"
echo " with coverage = $enable_coverage"
echo " module ecdh = $enable_module_ecdh"
echo " module recovery = $enable_module_recovery"
@@ -513,17 +401,16 @@ echo " module extrakeys = $enable_module_extrakeys"
echo " module schnorrsig = $enable_module_schnorrsig"
echo
echo " asm = $set_asm"
-echo " bignum = $set_bignum"
echo " ecmult window size = $set_ecmult_window"
echo " ecmult gen prec. bits = $set_ecmult_gen_precision"
-dnl Hide test-only options unless they're used.
+# Hide test-only options unless they're used.
if test x"$set_widemul" != xauto; then
echo " wide multiplication = $set_widemul"
fi
echo
echo " valgrind = $enable_valgrind"
echo " CC = $CC"
-echo " CFLAGS = $CFLAGS"
echo " CPPFLAGS = $CPPFLAGS"
+echo " SECP_CFLAGS = $SECP_CFLAGS"
+echo " CFLAGS = $CFLAGS"
echo " LDFLAGS = $LDFLAGS"
-echo
diff --git a/src/secp256k1/contrib/lax_der_parsing.c b/src/secp256k1/contrib/lax_der_parsing.c
index f71db4b535..bf562303ed 100644
--- a/src/secp256k1/contrib/lax_der_parsing.c
+++ b/src/secp256k1/contrib/lax_der_parsing.c
@@ -1,11 +1,10 @@
-/**********************************************************************
- * Copyright (c) 2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#include <string.h>
-#include <secp256k1.h>
#include "lax_der_parsing.h"
@@ -121,7 +120,7 @@ int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_
/* Copy R value */
if (rlen > 32) {
overflow = 1;
- } else {
+ } else if (rlen) {
memcpy(tmpsig + 32 - rlen, input + rpos, rlen);
}
@@ -133,7 +132,7 @@ int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_
/* Copy S value */
if (slen > 32) {
overflow = 1;
- } else {
+ } else if (slen) {
memcpy(tmpsig + 64 - slen, input + spos, slen);
}
diff --git a/src/secp256k1/contrib/lax_der_parsing.h b/src/secp256k1/contrib/lax_der_parsing.h
index 7eaf63bf6a..034a38e6a0 100644
--- a/src/secp256k1/contrib/lax_der_parsing.h
+++ b/src/secp256k1/contrib/lax_der_parsing.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
/****
* Please do not link this file directly. It is not part of the libsecp256k1
@@ -51,7 +51,13 @@
#ifndef SECP256K1_CONTRIB_LAX_DER_PARSING_H
#define SECP256K1_CONTRIB_LAX_DER_PARSING_H
+/* #include secp256k1.h only when it hasn't been included yet.
+ This enables this file to be #included directly in other project
+ files (such as tests.c) without the need to set an explicit -I flag,
+ which would be necessary to locate secp256k1.h. */
+#ifndef SECP256K1_H
#include <secp256k1.h>
+#endif
#ifdef __cplusplus
extern "C" {
diff --git a/src/secp256k1/contrib/lax_der_privatekey_parsing.c b/src/secp256k1/contrib/lax_der_privatekey_parsing.c
index c2e63b4b8d..a1b8200079 100644
--- a/src/secp256k1/contrib/lax_der_privatekey_parsing.c
+++ b/src/secp256k1/contrib/lax_der_privatekey_parsing.c
@@ -1,11 +1,10 @@
-/**********************************************************************
- * Copyright (c) 2014, 2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014, 2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#include <string.h>
-#include <secp256k1.h>
#include "lax_der_privatekey_parsing.h"
@@ -45,7 +44,7 @@ int ec_privkey_import_der(const secp256k1_context* ctx, unsigned char *out32, co
if (end < privkey+2 || privkey[0] != 0x04 || privkey[1] > 0x20 || end < privkey+2+privkey[1]) {
return 0;
}
- memcpy(out32 + 32 - privkey[1], privkey + 2, privkey[1]);
+ if (privkey[1]) memcpy(out32 + 32 - privkey[1], privkey + 2, privkey[1]);
if (!secp256k1_ec_seckey_verify(ctx, out32)) {
memset(out32, 0, 32);
return 0;
diff --git a/src/secp256k1/contrib/lax_der_privatekey_parsing.h b/src/secp256k1/contrib/lax_der_privatekey_parsing.h
index fece261fb9..1a8ad8ae0c 100644
--- a/src/secp256k1/contrib/lax_der_privatekey_parsing.h
+++ b/src/secp256k1/contrib/lax_der_privatekey_parsing.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2014, 2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014, 2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
/****
* Please do not link this file directly. It is not part of the libsecp256k1
@@ -28,7 +28,13 @@
#ifndef SECP256K1_CONTRIB_BER_PRIVATEKEY_H
#define SECP256K1_CONTRIB_BER_PRIVATEKEY_H
+/* #include secp256k1.h only when it hasn't been included yet.
+ This enables this file to be #included directly in other project
+ files (such as tests.c) without the need to set an explicit -I flag,
+ which would be necessary to locate secp256k1.h. */
+#ifndef SECP256K1_H
#include <secp256k1.h>
+#endif
#ifdef __cplusplus
extern "C" {
diff --git a/src/secp256k1/contrib/travis.sh b/src/secp256k1/contrib/travis.sh
deleted file mode 100755
index 24cc9315cb..0000000000
--- a/src/secp256k1/contrib/travis.sh
+++ /dev/null
@@ -1,68 +0,0 @@
-#!/bin/sh
-
-set -e
-set -x
-
-if [ "$HOST" = "i686-linux-gnu" ]
-then
- export CC="$CC -m32"
-fi
-if [ "$TRAVIS_OS_NAME" = "osx" ] && [ "$TRAVIS_COMPILER" = "gcc" ]
-then
- export CC="gcc-9"
-fi
-
-./configure \
- --enable-experimental="$EXPERIMENTAL" \
- --with-test-override-wide-multiply="$WIDEMUL" --with-bignum="$BIGNUM" --with-asm="$ASM" \
- --enable-ecmult-static-precomputation="$STATICPRECOMPUTATION" --with-ecmult-gen-precision="$ECMULTGENPRECISION" \
- --enable-module-ecdh="$ECDH" --enable-module-recovery="$RECOVERY" \
- --enable-module-schnorrsig="$SCHNORRSIG" \
- --with-valgrind="$WITH_VALGRIND" \
- --host="$HOST" $EXTRAFLAGS
-
-if [ -n "$BUILD" ]
-then
- make -j2 "$BUILD"
-fi
-if [ "$RUN_VALGRIND" = "yes" ]
-then
- make -j2
- # the `--error-exitcode` is required to make the test fail if valgrind found errors, otherwise it'll return 0 (http://valgrind.org/docs/manual/manual-core.html)
- valgrind --error-exitcode=42 ./tests 16
- valgrind --error-exitcode=42 ./exhaustive_tests
-fi
-if [ "$BENCH" = "yes" ]
-then
- if [ "$RUN_VALGRIND" = "yes" ]
- then
- # Using the local `libtool` because on macOS the system's libtool has nothing to do with GNU libtool
- EXEC='./libtool --mode=execute valgrind --error-exitcode=42'
- else
- EXEC=
- fi
- # This limits the iterations in the benchmarks below to ITER(set in .travis.yml) iterations.
- export SECP256K1_BENCH_ITERS="$ITERS"
- {
- $EXEC ./bench_ecmult
- $EXEC ./bench_internal
- $EXEC ./bench_sign
- $EXEC ./bench_verify
- } >> bench.log 2>&1
- if [ "$RECOVERY" = "yes" ]
- then
- $EXEC ./bench_recover >> bench.log 2>&1
- fi
- if [ "$ECDH" = "yes" ]
- then
- $EXEC ./bench_ecdh >> bench.log 2>&1
- fi
- if [ "$SCHNORRSIG" = "yes" ]
- then
- $EXEC ./bench_schnorrsig >> bench.log 2>&1
- fi
-fi
-if [ "$CTIMETEST" = "yes" ]
-then
- ./libtool --mode=execute valgrind --error-exitcode=42 ./valgrind_ctime_test > valgrind_ctime_test.log 2>&1
-fi
diff --git a/src/secp256k1/doc/safegcd_implementation.md b/src/secp256k1/doc/safegcd_implementation.md
new file mode 100644
index 0000000000..063aa8efae
--- /dev/null
+++ b/src/secp256k1/doc/safegcd_implementation.md
@@ -0,0 +1,771 @@
+# The safegcd implementation in libsecp256k1 explained
+
+This document explains the modular inverse implementation in the `src/modinv*.h` files. It is based
+on the paper
+["Fast constant-time gcd computation and modular inversion"](https://gcd.cr.yp.to/papers.html#safegcd)
+by Daniel J. Bernstein and Bo-Yin Yang. The references below are for the Date: 2019.04.13 version.
+
+The actual implementation is in C of course, but for demonstration purposes Python3 is used here.
+Most implementation aspects and optimizations are explained, except those that depend on the specific
+number representation used in the C code.
+
+## 1. Computing the Greatest Common Divisor (GCD) using divsteps
+
+The algorithm from the paper (section 11), at a very high level, is this:
+
+```python
+def gcd(f, g):
+ """Compute the GCD of an odd integer f and another integer g."""
+ assert f & 1 # require f to be odd
+ delta = 1 # additional state variable
+ while g != 0:
+ assert f & 1 # f will be odd in every iteration
+ if delta > 0 and g & 1:
+ delta, f, g = 1 - delta, g, (g - f) // 2
+ elif g & 1:
+ delta, f, g = 1 + delta, f, (g + f) // 2
+ else:
+ delta, f, g = 1 + delta, f, (g ) // 2
+ return abs(f)
+```
+
+It computes the greatest common divisor of an odd integer *f* and any integer *g*. Its inner loop
+keeps rewriting the variables *f* and *g* alongside a state variable *&delta;* that starts at *1*, until
+*g=0* is reached. At that point, *|f|* gives the GCD. Each of the transitions in the loop is called a
+"division step" (referred to as divstep in what follows).
+
+For example, *gcd(21, 14)* would be computed as:
+- Start with *&delta;=1 f=21 g=14*
+- Take the third branch: *&delta;=2 f=21 g=7*
+- Take the first branch: *&delta;=-1 f=7 g=-7*
+- Take the second branch: *&delta;=0 f=7 g=0*
+- The answer *|f| = 7*.
+
+Why it works:
+- Divsteps can be decomposed into two steps (see paragraph 8.2 in the paper):
+ - (a) If *g* is odd, replace *(f,g)* with *(g,g-f)* or (f,g+f), resulting in an even *g*.
+ - (b) Replace *(f,g)* with *(f,g/2)* (where *g* is guaranteed to be even).
+- Neither of those two operations change the GCD:
+ - For (a), assume *gcd(f,g)=c*, then it must be the case that *f=a&thinsp;c* and *g=b&thinsp;c* for some integers *a*
+ and *b*. As *(g,g-f)=(b&thinsp;c,(b-a)c)* and *(f,f+g)=(a&thinsp;c,(a+b)c)*, the result clearly still has
+ common factor *c*. Reasoning in the other direction shows that no common factor can be added by
+ doing so either.
+ - For (b), we know that *f* is odd, so *gcd(f,g)* clearly has no factor *2*, and we can remove
+ it from *g*.
+- The algorithm will eventually converge to *g=0*. This is proven in the paper (see theorem G.3).
+- It follows that eventually we find a final value *f'* for which *gcd(f,g) = gcd(f',0)*. As the
+ gcd of *f'* and *0* is *|f'|* by definition, that is our answer.
+
+Compared to more [traditional GCD algorithms](https://en.wikipedia.org/wiki/Euclidean_algorithm), this one has the property of only ever looking at
+the low-order bits of the variables to decide the next steps, and being easy to make
+constant-time (in more low-level languages than Python). The *&delta;* parameter is necessary to
+guide the algorithm towards shrinking the numbers' magnitudes without explicitly needing to look
+at high order bits.
+
+Properties that will become important later:
+- Performing more divsteps than needed is not a problem, as *f* does not change anymore after *g=0*.
+- Only even numbers are divided by *2*. This means that when reasoning about it algebraically we
+ do not need to worry about rounding.
+- At every point during the algorithm's execution the next *N* steps only depend on the bottom *N*
+ bits of *f* and *g*, and on *&delta;*.
+
+
+## 2. From GCDs to modular inverses
+
+We want an algorithm to compute the inverse *a* of *x* modulo *M*, i.e. the number a such that *a&thinsp;x=1
+mod M*. This inverse only exists if the GCD of *x* and *M* is *1*, but that is always the case if *M* is
+prime and *0 < x < M*. In what follows, assume that the modular inverse exists.
+It turns out this inverse can be computed as a side effect of computing the GCD by keeping track
+of how the internal variables can be written as linear combinations of the inputs at every step
+(see the [extended Euclidean algorithm](https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm)).
+Since the GCD is *1*, such an algorithm will compute numbers *a* and *b* such that a&thinsp;x + b&thinsp;M = 1*.
+Taking that expression *mod M* gives *a&thinsp;x mod M = 1*, and we see that *a* is the modular inverse of *x
+mod M*.
+
+A similar approach can be used to calculate modular inverses using the divsteps-based GCD
+algorithm shown above, if the modulus *M* is odd. To do so, compute *gcd(f=M,g=x)*, while keeping
+track of extra variables *d* and *e*, for which at every step *d = f/x (mod M)* and *e = g/x (mod M)*.
+*f/x* here means the number which multiplied with *x* gives *f mod M*. As *f* and *g* are initialized to *M*
+and *x* respectively, *d* and *e* just start off being *0* (*M/x mod M = 0/x mod M = 0*) and *1* (*x/x mod M
+= 1*).
+
+```python
+def div2(M, x):
+ """Helper routine to compute x/2 mod M (where M is odd)."""
+ assert M & 1
+ if x & 1: # If x is odd, make it even by adding M.
+ x += M
+ # x must be even now, so a clean division by 2 is possible.
+ return x // 2
+
+def modinv(M, x):
+ """Compute the inverse of x mod M (given that it exists, and M is odd)."""
+ assert M & 1
+ delta, f, g, d, e = 1, M, x, 0, 1
+ while g != 0:
+ # Note that while division by two for f and g is only ever done on even inputs, this is
+ # not true for d and e, so we need the div2 helper function.
+ if delta > 0 and g & 1:
+ delta, f, g, d, e = 1 - delta, g, (g - f) // 2, e, div2(M, e - d)
+ elif g & 1:
+ delta, f, g, d, e = 1 + delta, f, (g + f) // 2, d, div2(M, e + d)
+ else:
+ delta, f, g, d, e = 1 + delta, f, (g ) // 2, d, div2(M, e )
+ # Verify that the invariants d=f/x mod M, e=g/x mod M are maintained.
+ assert f % M == (d * x) % M
+ assert g % M == (e * x) % M
+ assert f == 1 or f == -1 # |f| is the GCD, it must be 1
+ # Because of invariant d = f/x (mod M), 1/x = d/f (mod M). As |f|=1, d/f = d*f.
+ return (d * f) % M
+```
+
+Also note that this approach to track *d* and *e* throughout the computation to determine the inverse
+is different from the paper. There (see paragraph 12.1 in the paper) a transition matrix for the
+entire computation is determined (see section 3 below) and the inverse is computed from that.
+The approach here avoids the need for 2x2 matrix multiplications of various sizes, and appears to
+be faster at the level of optimization we're able to do in C.
+
+
+## 3. Batching multiple divsteps
+
+Every divstep can be expressed as a matrix multiplication, applying a transition matrix *(1/2 t)*
+to both vectors *[f, g]* and *[d, e]* (see paragraph 8.1 in the paper):
+
+```
+ t = [ u, v ]
+ [ q, r ]
+
+ [ out_f ] = (1/2 * t) * [ in_f ]
+ [ out_g ] = [ in_g ]
+
+ [ out_d ] = (1/2 * t) * [ in_d ] (mod M)
+ [ out_e ] [ in_e ]
+```
+
+where *(u, v, q, r)* is *(0, 2, -1, 1)*, *(2, 0, 1, 1)*, or *(2, 0, 0, 1)*, depending on which branch is
+taken. As above, the resulting *f* and *g* are always integers.
+
+Performing multiple divsteps corresponds to a multiplication with the product of all the
+individual divsteps' transition matrices. As each transition matrix consists of integers
+divided by *2*, the product of these matrices will consist of integers divided by *2<sup>N</sup>* (see also
+theorem 9.2 in the paper). These divisions are expensive when updating *d* and *e*, so we delay
+them: we compute the integer coefficients of the combined transition matrix scaled by *2<sup>N</sup>*, and
+do one division by *2<sup>N</sup>* as a final step:
+
+```python
+def divsteps_n_matrix(delta, f, g):
+ """Compute delta and transition matrix t after N divsteps (multiplied by 2^N)."""
+ u, v, q, r = 1, 0, 0, 1 # start with identity matrix
+ for _ in range(N):
+ if delta > 0 and g & 1:
+ delta, f, g, u, v, q, r = 1 - delta, g, (g - f) // 2, 2*q, 2*r, q-u, r-v
+ elif g & 1:
+ delta, f, g, u, v, q, r = 1 + delta, f, (g + f) // 2, 2*u, 2*v, q+u, r+v
+ else:
+ delta, f, g, u, v, q, r = 1 + delta, f, (g ) // 2, 2*u, 2*v, q , r
+ return delta, (u, v, q, r)
+```
+
+As the branches in the divsteps are completely determined by the bottom *N* bits of *f* and *g*, this
+function to compute the transition matrix only needs to see those bottom bits. Furthermore all
+intermediate results and outputs fit in *(N+1)*-bit numbers (unsigned for *f* and *g*; signed for *u*, *v*,
+*q*, and *r*) (see also paragraph 8.3 in the paper). This means that an implementation using 64-bit
+integers could set *N=62* and compute the full transition matrix for 62 steps at once without any
+big integer arithmetic at all. This is the reason why this algorithm is efficient: it only needs
+to update the full-size *f*, *g*, *d*, and *e* numbers once every *N* steps.
+
+We still need functions to compute:
+
+```
+ [ out_f ] = (1/2^N * [ u, v ]) * [ in_f ]
+ [ out_g ] ( [ q, r ]) [ in_g ]
+
+ [ out_d ] = (1/2^N * [ u, v ]) * [ in_d ] (mod M)
+ [ out_e ] ( [ q, r ]) [ in_e ]
+```
+
+Because the divsteps transformation only ever divides even numbers by two, the result of *t&thinsp;[f,g]* is always even. When *t* is a composition of *N* divsteps, it follows that the resulting *f*
+and *g* will be multiple of *2<sup>N</sup>*, and division by *2<sup>N</sup>* is simply shifting them down:
+
+```python
+def update_fg(f, g, t):
+ """Multiply matrix t/2^N with [f, g]."""
+ u, v, q, r = t
+ cf, cg = u*f + v*g, q*f + r*g
+ # (t / 2^N) should cleanly apply to [f,g] so the result of t*[f,g] should have N zero
+ # bottom bits.
+ assert cf % 2**N == 0
+ assert cg % 2**N == 0
+ return cf >> N, cg >> N
+```
+
+The same is not true for *d* and *e*, and we need an equivalent of the `div2` function for division by *2<sup>N</sup> mod M*.
+This is easy if we have precomputed *1/M mod 2<sup>N</sup>* (which always exists for odd *M*):
+
+```python
+def div2n(M, Mi, x):
+ """Compute x/2^N mod M, given Mi = 1/M mod 2^N."""
+ assert (M * Mi) % 2**N == 1
+ # Find a factor m such that m*M has the same bottom N bits as x. We want:
+ # (m * M) mod 2^N = x mod 2^N
+ # <=> m mod 2^N = (x / M) mod 2^N
+ # <=> m mod 2^N = (x * Mi) mod 2^N
+ m = (Mi * x) % 2**N
+ # Subtract that multiple from x, cancelling its bottom N bits.
+ x -= m * M
+ # Now a clean division by 2^N is possible.
+ assert x % 2**N == 0
+ return (x >> N) % M
+
+def update_de(d, e, t, M, Mi):
+ """Multiply matrix t/2^N with [d, e], modulo M."""
+ u, v, q, r = t
+ cd, ce = u*d + v*e, q*d + r*e
+ return div2n(M, Mi, cd), div2n(M, Mi, ce)
+```
+
+With all of those, we can write a version of `modinv` that performs *N* divsteps at once:
+
+```python3
+def modinv(M, Mi, x):
+ """Compute the modular inverse of x mod M, given Mi=1/M mod 2^N."""
+ assert M & 1
+ delta, f, g, d, e = 1, M, x, 0, 1
+ while g != 0:
+ # Compute the delta and transition matrix t for the next N divsteps (this only needs
+ # (N+1)-bit signed integer arithmetic).
+ delta, t = divsteps_n_matrix(delta, f % 2**N, g % 2**N)
+ # Apply the transition matrix t to [f, g]:
+ f, g = update_fg(f, g, t)
+ # Apply the transition matrix t to [d, e]:
+ d, e = update_de(d, e, t, M, Mi)
+ return (d * f) % M
+```
+
+This means that in practice we'll always perform a multiple of *N* divsteps. This is not a problem
+because once *g=0*, further divsteps do not affect *f*, *g*, *d*, or *e* anymore (only *&delta;* keeps
+increasing). For variable time code such excess iterations will be mostly optimized away in later
+sections.
+
+
+## 4. Avoiding modulus operations
+
+So far, there are two places where we compute a remainder of big numbers modulo *M*: at the end of
+`div2n` in every `update_de`, and at the very end of `modinv` after potentially negating *d* due to the
+sign of *f*. These are relatively expensive operations when done generically.
+
+To deal with the modulus operation in `div2n`, we simply stop requiring *d* and *e* to be in range
+*[0,M)* all the time. Let's start by inlining `div2n` into `update_de`, and dropping the modulus
+operation at the end:
+
+```python
+def update_de(d, e, t, M, Mi):
+ """Multiply matrix t/2^N with [d, e] mod M, given Mi=1/M mod 2^N."""
+ u, v, q, r = t
+ cd, ce = u*d + v*e, q*d + r*e
+ # Cancel out bottom N bits of cd and ce.
+ md = -((Mi * cd) % 2**N)
+ me = -((Mi * ce) % 2**N)
+ cd += md * M
+ ce += me * M
+ # And cleanly divide by 2**N.
+ return cd >> N, ce >> N
+```
+
+Let's look at bounds on the ranges of these numbers. It can be shown that *|u|+|v|* and *|q|+|r|*
+never exceed *2<sup>N</sup>* (see paragraph 8.3 in the paper), and thus a multiplication with *t* will have
+outputs whose absolute values are at most *2<sup>N</sup>* times the maximum absolute input value. In case the
+inputs *d* and *e* are in *(-M,M)*, which is certainly true for the initial values *d=0* and *e=1* assuming
+*M > 1*, the multiplication results in numbers in range *(-2<sup>N</sup>M,2<sup>N</sup>M)*. Subtracting less than *2<sup>N</sup>*
+times *M* to cancel out *N* bits brings that up to *(-2<sup>N+1</sup>M,2<sup>N</sup>M)*, and
+dividing by *2<sup>N</sup>* at the end takes it to *(-2M,M)*. Another application of `update_de` would take that
+to *(-3M,2M)*, and so forth. This progressive expansion of the variables' ranges can be
+counteracted by incrementing *d* and *e* by *M* whenever they're negative:
+
+```python
+ ...
+ if d < 0:
+ d += M
+ if e < 0:
+ e += M
+ cd, ce = u*d + v*e, q*d + r*e
+ # Cancel out bottom N bits of cd and ce.
+ ...
+```
+
+With inputs in *(-2M,M)*, they will first be shifted into range *(-M,M)*, which means that the
+output will again be in *(-2M,M)*, and this remains the case regardless of how many `update_de`
+invocations there are. In what follows, we will try to make this more efficient.
+
+Note that increasing *d* by *M* is equal to incrementing *cd* by *u&thinsp;M* and *ce* by *q&thinsp;M*. Similarly,
+increasing *e* by *M* is equal to incrementing *cd* by *v&thinsp;M* and *ce* by *r&thinsp;M*. So we could instead write:
+
+```python
+ ...
+ cd, ce = u*d + v*e, q*d + r*e
+ # Perform the equivalent of incrementing d, e by M when they're negative.
+ if d < 0:
+ cd += u*M
+ ce += q*M
+ if e < 0:
+ cd += v*M
+ ce += r*M
+ # Cancel out bottom N bits of cd and ce.
+ md = -((Mi * cd) % 2**N)
+ me = -((Mi * ce) % 2**N)
+ cd += md * M
+ ce += me * M
+ ...
+```
+
+Now note that we have two steps of corrections to *cd* and *ce* that add multiples of *M*: this
+increment, and the decrement that cancels out bottom bits. The second one depends on the first
+one, but they can still be efficiently combined by only computing the bottom bits of *cd* and *ce*
+at first, and using that to compute the final *md*, *me* values:
+
+```python
+def update_de(d, e, t, M, Mi):
+ """Multiply matrix t/2^N with [d, e], modulo M."""
+ u, v, q, r = t
+ md, me = 0, 0
+ # Compute what multiples of M to add to cd and ce.
+ if d < 0:
+ md += u
+ me += q
+ if e < 0:
+ md += v
+ me += r
+ # Compute bottom N bits of t*[d,e] + M*[md,me].
+ cd, ce = (u*d + v*e + md*M) % 2**N, (q*d + r*e + me*M) % 2**N
+ # Correct md and me such that the bottom N bits of t*[d,e] + M*[md,me] are zero.
+ md -= (Mi * cd) % 2**N
+ me -= (Mi * ce) % 2**N
+ # Do the full computation.
+ cd, ce = u*d + v*e + md*M, q*d + r*e + me*M
+ # And cleanly divide by 2**N.
+ return cd >> N, ce >> N
+```
+
+One last optimization: we can avoid the *md&thinsp;M* and *me&thinsp;M* multiplications in the bottom bits of *cd*
+and *ce* by moving them to the *md* and *me* correction:
+
+```python
+ ...
+ # Compute bottom N bits of t*[d,e].
+ cd, ce = (u*d + v*e) % 2**N, (q*d + r*e) % 2**N
+ # Correct md and me such that the bottom N bits of t*[d,e]+M*[md,me] are zero.
+ # Note that this is not the same as {md = (-Mi * cd) % 2**N} etc. That would also result in N
+ # zero bottom bits, but isn't guaranteed to be a reduction of [0,2^N) compared to the
+ # previous md and me values, and thus would violate our bounds analysis.
+ md -= (Mi*cd + md) % 2**N
+ me -= (Mi*ce + me) % 2**N
+ ...
+```
+
+The resulting function takes *d* and *e* in range *(-2M,M)* as inputs, and outputs values in the same
+range. That also means that the *d* value at the end of `modinv` will be in that range, while we want
+a result in *[0,M)*. To do that, we need a normalization function. It's easy to integrate the
+conditional negation of *d* (based on the sign of *f*) into it as well:
+
+```python
+def normalize(sign, v, M):
+ """Compute sign*v mod M, where v is in range (-2*M,M); output in [0,M)."""
+ assert sign == 1 or sign == -1
+ # v in (-2*M,M)
+ if v < 0:
+ v += M
+ # v in (-M,M). Now multiply v with sign (which can only be 1 or -1).
+ if sign == -1:
+ v = -v
+ # v in (-M,M)
+ if v < 0:
+ v += M
+ # v in [0,M)
+ return v
+```
+
+And calling it in `modinv` is simply:
+
+```python
+ ...
+ return normalize(f, d, M)
+```
+
+
+## 5. Constant-time operation
+
+The primary selling point of the algorithm is fast constant-time operation. What code flow still
+depends on the input data so far?
+
+- the number of iterations of the while *g &ne; 0* loop in `modinv`
+- the branches inside `divsteps_n_matrix`
+- the sign checks in `update_de`
+- the sign checks in `normalize`
+
+To make the while loop in `modinv` constant time it can be replaced with a constant number of
+iterations. The paper proves (Theorem 11.2) that *741* divsteps are sufficient for any *256*-bit
+inputs, and [safegcd-bounds](https://github.com/sipa/safegcd-bounds) shows that the slightly better bound *724* is
+sufficient even. Given that every loop iteration performs *N* divsteps, it will run a total of
+*&lceil;724/N&rceil;* times.
+
+To deal with the branches in `divsteps_n_matrix` we will replace them with constant-time bitwise
+operations (and hope the C compiler isn't smart enough to turn them back into branches; see
+`valgrind_ctime_test.c` for automated tests that this isn't the case). To do so, observe that a
+divstep can be written instead as (compare to the inner loop of `gcd` in section 1).
+
+```python
+ x = -f if delta > 0 else f # set x equal to (input) -f or f
+ if g & 1:
+ g += x # set g to (input) g-f or g+f
+ if delta > 0:
+ delta = -delta
+ f += g # set f to (input) g (note that g was set to g-f before)
+ delta += 1
+ g >>= 1
+```
+
+To convert the above to bitwise operations, we rely on a trick to negate conditionally: per the
+definition of negative numbers in two's complement, (*-v == ~v + 1*) holds for every number *v*. As
+*-1* in two's complement is all *1* bits, bitflipping can be expressed as xor with *-1*. It follows
+that *-v == (v ^ -1) - (-1)*. Thus, if we have a variable *c* that takes on values *0* or *-1*, then
+*(v ^ c) - c* is *v* if *c=0* and *-v* if *c=-1*.
+
+Using this we can write:
+
+```python
+ x = -f if delta > 0 else f
+```
+
+in constant-time form as:
+
+```python
+ c1 = (-delta) >> 63
+ # Conditionally negate f based on c1:
+ x = (f ^ c1) - c1
+```
+
+To use that trick, we need a helper mask variable *c1* that resolves the condition *&delta;>0* to *-1*
+(if true) or *0* (if false). We compute *c1* using right shifting, which is equivalent to dividing by
+the specified power of *2* and rounding down (in Python, and also in C under the assumption of a typical two's complement system; see
+`assumptions.h` for tests that this is the case). Right shifting by *63* thus maps all
+numbers in range *[-2<sup>63</sup>,0)* to *-1*, and numbers in range *[0,2<sup>63</sup>)* to *0*.
+
+Using the facts that *x&0=0* and *x&(-1)=x* (on two's complement systems again), we can write:
+
+```python
+ if g & 1:
+ g += x
+```
+
+as:
+
+```python
+ # Compute c2=0 if g is even and c2=-1 if g is odd.
+ c2 = -(g & 1)
+ # This masks out x if g is even, and leaves x be if g is odd.
+ g += x & c2
+```
+
+Using the conditional negation trick again we can write:
+
+```python
+ if g & 1:
+ if delta > 0:
+ delta = -delta
+```
+
+as:
+
+```python
+ # Compute c3=-1 if g is odd and delta>0, and 0 otherwise.
+ c3 = c1 & c2
+ # Conditionally negate delta based on c3:
+ delta = (delta ^ c3) - c3
+```
+
+Finally:
+
+```python
+ if g & 1:
+ if delta > 0:
+ f += g
+```
+
+becomes:
+
+```python
+ f += g & c3
+```
+
+It turns out that this can be implemented more efficiently by applying the substitution
+*&eta;=-&delta;*. In this representation, negating *&delta;* corresponds to negating *&eta;*, and incrementing
+*&delta;* corresponds to decrementing *&eta;*. This allows us to remove the negation in the *c1*
+computation:
+
+```python
+ # Compute a mask c1 for eta < 0, and compute the conditional negation x of f:
+ c1 = eta >> 63
+ x = (f ^ c1) - c1
+ # Compute a mask c2 for odd g, and conditionally add x to g:
+ c2 = -(g & 1)
+ g += x & c2
+ # Compute a mask c for (eta < 0) and odd (input) g, and use it to conditionally negate eta,
+ # and add g to f:
+ c3 = c1 & c2
+ eta = (eta ^ c3) - c3
+ f += g & c3
+ # Incrementing delta corresponds to decrementing eta.
+ eta -= 1
+ g >>= 1
+```
+
+A variant of divsteps with better worst-case performance can be used instead: starting *&delta;* at
+*1/2* instead of *1*. This reduces the worst case number of iterations to *590* for *256*-bit inputs
+(which can be shown using convex hull analysis). In this case, the substitution *&zeta;=-(&delta;+1/2)*
+is used instead to keep the variable integral. Incrementing *&delta;* by *1* still translates to
+decrementing *&zeta;* by *1*, but negating *&delta;* now corresponds to going from *&zeta;* to *-(&zeta;+1)*, or
+*~&zeta;*. Doing that conditionally based on *c3* is simply:
+
+```python
+ ...
+ c3 = c1 & c2
+ zeta ^= c3
+ ...
+```
+
+By replacing the loop in `divsteps_n_matrix` with a variant of the divstep code above (extended to
+also apply all *f* operations to *u*, *v* and all *g* operations to *q*, *r*), a constant-time version of
+`divsteps_n_matrix` is obtained. The full code will be in section 7.
+
+These bit fiddling tricks can also be used to make the conditional negations and additions in
+`update_de` and `normalize` constant-time.
+
+
+## 6. Variable-time optimizations
+
+In section 5, we modified the `divsteps_n_matrix` function (and a few others) to be constant time.
+Constant time operations are only necessary when computing modular inverses of secret data. In
+other cases, it slows down calculations unnecessarily. In this section, we will construct a
+faster non-constant time `divsteps_n_matrix` function.
+
+To do so, first consider yet another way of writing the inner loop of divstep operations in
+`gcd` from section 1. This decomposition is also explained in the paper in section 8.2. We use
+the original version with initial *&delta;=1* and *&eta;=-&delta;* here.
+
+```python
+for _ in range(N):
+ if g & 1 and eta < 0:
+ eta, f, g = -eta, g, -f
+ if g & 1:
+ g += f
+ eta -= 1
+ g >>= 1
+```
+
+Whenever *g* is even, the loop only shifts *g* down and decreases *&eta;*. When *g* ends in multiple zero
+bits, these iterations can be consolidated into one step. This requires counting the bottom zero
+bits efficiently, which is possible on most platforms; it is abstracted here as the function
+`count_trailing_zeros`.
+
+```python
+def count_trailing_zeros(v):
+ """
+ When v is zero, consider all N zero bits as "trailing".
+ For a non-zero value v, find z such that v=(d<<z) for some odd d.
+ """
+ if v == 0:
+ return N
+ else:
+ return (v & -v).bit_length() - 1
+
+i = N # divsteps left to do
+while True:
+ # Get rid of all bottom zeros at once. In the first iteration, g may be odd and the following
+ # lines have no effect (until "if eta < 0").
+ zeros = min(i, count_trailing_zeros(g))
+ eta -= zeros
+ g >>= zeros
+ i -= zeros
+ if i == 0:
+ break
+ # We know g is odd now
+ if eta < 0:
+ eta, f, g = -eta, g, -f
+ g += f
+ # g is even now, and the eta decrement and g shift will happen in the next loop.
+```
+
+We can now remove multiple bottom *0* bits from *g* at once, but still need a full iteration whenever
+there is a bottom *1* bit. In what follows, we will get rid of multiple *1* bits simultaneously as
+well.
+
+Observe that as long as *&eta; &geq; 0*, the loop does not modify *f*. Instead, it cancels out bottom
+bits of *g* and shifts them out, and decreases *&eta;* and *i* accordingly - interrupting only when *&eta;*
+becomes negative, or when *i* reaches *0*. Combined, this is equivalent to adding a multiple of *f* to
+*g* to cancel out multiple bottom bits, and then shifting them out.
+
+It is easy to find what that multiple is: we want a number *w* such that *g+w&thinsp;f* has a few bottom
+zero bits. If that number of bits is *L*, we want *g+w&thinsp;f mod 2<sup>L</sup> = 0*, or *w = -g/f mod 2<sup>L</sup>*. Since *f*
+is odd, such a *w* exists for any *L*. *L* cannot be more than *i* steps (as we'd finish the loop before
+doing more) or more than *&eta;+1* steps (as we'd run `eta, f, g = -eta, g, -f` at that point), but
+apart from that, we're only limited by the complexity of computing *w*.
+
+This code demonstrates how to cancel up to 4 bits per step:
+
+```python
+NEGINV16 = [15, 5, 3, 9, 7, 13, 11, 1] # NEGINV16[n//2] = (-n)^-1 mod 16, for odd n
+i = N
+while True:
+ zeros = min(i, count_trailing_zeros(g))
+ eta -= zeros
+ g >>= zeros
+ i -= zeros
+ if i == 0:
+ break
+ # We know g is odd now
+ if eta < 0:
+ eta, f, g = -eta, g, -f
+ # Compute limit on number of bits to cancel
+ limit = min(min(eta + 1, i), 4)
+ # Compute w = -g/f mod 2**limit, using the table value for -1/f mod 2**4. Note that f is
+ # always odd, so its inverse modulo a power of two always exists.
+ w = (g * NEGINV16[(f & 15) // 2]) % (2**limit)
+ # As w = -g/f mod (2**limit), g+w*f mod 2**limit = 0 mod 2**limit.
+ g += w * f
+ assert g % (2**limit) == 0
+ # The next iteration will now shift out at least limit bottom zero bits from g.
+```
+
+By using a bigger table more bits can be cancelled at once. The table can also be implemented
+as a formula. Several formulas are known for computing modular inverses modulo powers of two;
+some can be found in Hacker's Delight second edition by Henry S. Warren, Jr. pages 245-247.
+Here we need the negated modular inverse, which is a simple transformation of those:
+
+- Instead of a 3-bit table:
+ - *-f* or *f ^ 6*
+- Instead of a 4-bit table:
+ - *1 - f(f + 1)*
+ - *-(f + (((f + 1) & 4) << 1))*
+- For larger tables the following technique can be used: if *w=-1/f mod 2<sup>L</sup>*, then *w(w&thinsp;f+2)* is
+ *-1/f mod 2<sup>2L</sup>*. This allows extending the previous formulas (or tables). In particular we
+ have this 6-bit function (based on the 3-bit function above):
+ - *f(f<sup>2</sup> - 2)*
+
+This loop, again extended to also handle *u*, *v*, *q*, and *r* alongside *f* and *g*, placed in
+`divsteps_n_matrix`, gives a significantly faster, but non-constant time version.
+
+
+## 7. Final Python version
+
+All together we need the following functions:
+
+- A way to compute the transition matrix in constant time, using the `divsteps_n_matrix` function
+ from section 2, but with its loop replaced by a variant of the constant-time divstep from
+ section 5, extended to handle *u*, *v*, *q*, *r*:
+
+```python
+def divsteps_n_matrix(zeta, f, g):
+ """Compute zeta and transition matrix t after N divsteps (multiplied by 2^N)."""
+ u, v, q, r = 1, 0, 0, 1 # start with identity matrix
+ for _ in range(N):
+ c1 = zeta >> 63
+ # Compute x, y, z as conditionally-negated versions of f, u, v.
+ x, y, z = (f ^ c1) - c1, (u ^ c1) - c1, (v ^ c1) - c1
+ c2 = -(g & 1)
+ # Conditionally add x, y, z to g, q, r.
+ g, q, r = g + (x & c2), q + (y & c2), r + (z & c2)
+ c1 &= c2 # reusing c1 here for the earlier c3 variable
+ zeta = (zeta ^ c1) - 1 # inlining the unconditional zeta decrement here
+ # Conditionally add g, q, r to f, u, v.
+ f, u, v = f + (g & c1), u + (q & c1), v + (r & c1)
+ # When shifting g down, don't shift q, r, as we construct a transition matrix multiplied
+ # by 2^N. Instead, shift f's coefficients u and v up.
+ g, u, v = g >> 1, u << 1, v << 1
+ return zeta, (u, v, q, r)
+```
+
+- The functions to update *f* and *g*, and *d* and *e*, from section 2 and section 4, with the constant-time
+ changes to `update_de` from section 5:
+
+```python
+def update_fg(f, g, t):
+ """Multiply matrix t/2^N with [f, g]."""
+ u, v, q, r = t
+ cf, cg = u*f + v*g, q*f + r*g
+ return cf >> N, cg >> N
+
+def update_de(d, e, t, M, Mi):
+ """Multiply matrix t/2^N with [d, e], modulo M."""
+ u, v, q, r = t
+ d_sign, e_sign = d >> 257, e >> 257
+ md, me = (u & d_sign) + (v & e_sign), (q & d_sign) + (r & e_sign)
+ cd, ce = (u*d + v*e) % 2**N, (q*d + r*e) % 2**N
+ md -= (Mi*cd + md) % 2**N
+ me -= (Mi*ce + me) % 2**N
+ cd, ce = u*d + v*e + M*md, q*d + r*e + M*me
+ return cd >> N, ce >> N
+```
+
+- The `normalize` function from section 4, made constant time as well:
+
+```python
+def normalize(sign, v, M):
+ """Compute sign*v mod M, where v in (-2*M,M); output in [0,M)."""
+ v_sign = v >> 257
+ # Conditionally add M to v.
+ v += M & v_sign
+ c = (sign - 1) >> 1
+ # Conditionally negate v.
+ v = (v ^ c) - c
+ v_sign = v >> 257
+ # Conditionally add M to v again.
+ v += M & v_sign
+ return v
+```
+
+- And finally the `modinv` function too, adapted to use *&zeta;* instead of *&delta;*, and using the fixed
+ iteration count from section 5:
+
+```python
+def modinv(M, Mi, x):
+ """Compute the modular inverse of x mod M, given Mi=1/M mod 2^N."""
+ zeta, f, g, d, e = -1, M, x, 0, 1
+ for _ in range((590 + N - 1) // N):
+ zeta, t = divsteps_n_matrix(zeta, f % 2**N, g % 2**N)
+ f, g = update_fg(f, g, t)
+ d, e = update_de(d, e, t, M, Mi)
+ return normalize(f, d, M)
+```
+
+- To get a variable time version, replace the `divsteps_n_matrix` function with one that uses the
+ divsteps loop from section 5, and a `modinv` version that calls it without the fixed iteration
+ count:
+
+```python
+NEGINV16 = [15, 5, 3, 9, 7, 13, 11, 1] # NEGINV16[n//2] = (-n)^-1 mod 16, for odd n
+def divsteps_n_matrix_var(eta, f, g):
+ """Compute eta and transition matrix t after N divsteps (multiplied by 2^N)."""
+ u, v, q, r = 1, 0, 0, 1
+ i = N
+ while True:
+ zeros = min(i, count_trailing_zeros(g))
+ eta, i = eta - zeros, i - zeros
+ g, u, v = g >> zeros, u << zeros, v << zeros
+ if i == 0:
+ break
+ if eta < 0:
+ eta, f, u, v, g, q, r = -eta, g, q, r, -f, -u, -v
+ limit = min(min(eta + 1, i), 4)
+ w = (g * NEGINV16[(f & 15) // 2]) % (2**limit)
+ g, q, r = g + w*f, q + w*u, r + w*v
+ return eta, (u, v, q, r)
+
+def modinv_var(M, Mi, x):
+ """Compute the modular inverse of x mod M, given Mi = 1/M mod 2^N."""
+ eta, f, g, d, e = -1, M, x, 0, 1
+ while g != 0:
+ eta, t = divsteps_n_matrix_var(eta, f % 2**N, g % 2**N)
+ f, g = update_fg(f, g, t)
+ d, e = update_de(d, e, t, M, Mi)
+ return normalize(f, d, Mi)
+```
diff --git a/src/secp256k1/include/secp256k1.h b/src/secp256k1/include/secp256k1.h
index 2178c8e2d6..57114b8f26 100644
--- a/src/secp256k1/include/secp256k1.h
+++ b/src/secp256k1/include/secp256k1.h
@@ -7,11 +7,13 @@ extern "C" {
#include <stddef.h>
-/* These rules specify the order of arguments in API calls:
+/* Unless explicitly stated all pointer arguments must not be NULL.
+ *
+ * The following rules specify the order of arguments in API calls:
*
* 1. Context pointers go first, followed by output arguments, combined
* output/input arguments, and finally input-only arguments.
- * 2. Array lengths always immediately the follow the argument whose length
+ * 2. Array lengths always immediately follow the argument whose length
* they describe, even if this violates rule 1.
* 3. Within the OUT/OUTIN/IN groups, pointers to data that is typically generated
* later go first. This means: signatures, public nonces, secret nonces,
@@ -61,8 +63,9 @@ typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space;
* The exact representation of data inside is implementation defined and not
* guaranteed to be portable between different platforms or versions. It is
* however guaranteed to be 64 bytes in size, and can be safely copied/moved.
- * If you need to convert to a format suitable for storage, transmission, or
- * comparison, use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse.
+ * If you need to convert to a format suitable for storage or transmission,
+ * use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. To
+ * compare keys, use secp256k1_ec_pubkey_cmp.
*/
typedef struct {
unsigned char data[64];
@@ -127,6 +130,17 @@ typedef int (*secp256k1_nonce_function)(
# define SECP256K1_INLINE inline
# endif
+/** When this header is used at build-time the SECP256K1_BUILD define needs to be set
+ * to correctly setup export attributes and nullness checks. This is normally done
+ * by secp256k1.c but to guard against this header being included before secp256k1.c
+ * has had a chance to set the define (e.g. via test harnesses that just includes
+ * secp256k1.c) we set SECP256K1_NO_BUILD when this header is processed without the
+ * BUILD define so this condition can be caught.
+ */
+#ifndef SECP256K1_BUILD
+# define SECP256K1_NO_BUILD
+#endif
+
#ifndef SECP256K1_API
# if defined(_WIN32)
# ifdef SECP256K1_BUILD
@@ -212,7 +226,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_create(
* memory allocation entirely, see the functions in secp256k1_preallocated.h.
*
* Returns: a newly created context object.
- * Args: ctx: an existing context to copy (cannot be NULL)
+ * Args: ctx: an existing context to copy
*/
SECP256K1_API secp256k1_context* secp256k1_context_clone(
const secp256k1_context* ctx
@@ -233,7 +247,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_clone(
*/
SECP256K1_API void secp256k1_context_destroy(
secp256k1_context* ctx
-);
+) SECP256K1_ARG_NONNULL(1);
/** Set a callback function to be called when an illegal argument is passed to
* an API call. It will only trigger for violations that are mentioned
@@ -250,7 +264,7 @@ SECP256K1_API void secp256k1_context_destroy(
* undefined.
*
* When this function has not been called (or called with fn==NULL), then the
- * default handler will be used. The library provides a default handler which
+ * default handler will be used. The library provides a default handler which
* writes the message to stderr and calls abort. This default handler can be
* replaced at link time if the preprocessor macro
* USE_EXTERNAL_DEFAULT_CALLBACKS is defined, which is the case if the build
@@ -264,11 +278,11 @@ SECP256K1_API void secp256k1_context_destroy(
* fails. In this case, the corresponding default handler will be called with
* the data pointer argument set to NULL.
*
- * Args: ctx: an existing context object (cannot be NULL)
+ * Args: ctx: an existing context object.
* In: fun: a pointer to a function to call when an illegal argument is
* passed to the API, taking a message and an opaque pointer.
* (NULL restores the default handler.)
- * data: the opaque pointer to pass to fun above.
+ * data: the opaque pointer to pass to fun above, must be NULL for the default handler.
*
* See also secp256k1_context_set_error_callback.
*/
@@ -288,12 +302,12 @@ SECP256K1_API void secp256k1_context_set_illegal_callback(
* for that). After this callback returns, anything may happen, including
* crashing.
*
- * Args: ctx: an existing context object (cannot be NULL)
+ * Args: ctx: an existing context object.
* In: fun: a pointer to a function to call when an internal error occurs,
* taking a message and an opaque pointer (NULL restores the
* default handler, see secp256k1_context_set_illegal_callback
* for details).
- * data: the opaque pointer to pass to fun above.
+ * data: the opaque pointer to pass to fun above, must be NULL for the default handler.
*
* See also secp256k1_context_set_illegal_callback.
*/
@@ -306,7 +320,7 @@ SECP256K1_API void secp256k1_context_set_error_callback(
/** Create a secp256k1 scratch space object.
*
* Returns: a newly created scratch space.
- * Args: ctx: an existing context object (cannot be NULL)
+ * Args: ctx: an existing context object.
* In: size: amount of memory to be available as scratch space. Some extra
* (<100 bytes) will be allocated for extra accounting.
*/
@@ -370,6 +384,21 @@ SECP256K1_API int secp256k1_ec_pubkey_serialize(
unsigned int flags
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+/** Compare two public keys using lexicographic (of compressed serialization) order
+ *
+ * Returns: <0 if the first public key is less than the second
+ * >0 if the first public key is greater than the second
+ * 0 if the two public keys are equal
+ * Args: ctx: a secp256k1 context object.
+ * In: pubkey1: first public key to compare
+ * pubkey2: second public key to compare
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp(
+ const secp256k1_context* ctx,
+ const secp256k1_pubkey* pubkey1,
+ const secp256k1_pubkey* pubkey2
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
/** Parse an ECDSA signature in compact (64 bytes) format.
*
* Returns: 1 when the signature could be parsed, 0 otherwise.
@@ -451,9 +480,16 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
* Returns: 1: correct signature
* 0: incorrect or unparseable signature
* Args: ctx: a secp256k1 context object, initialized for verification.
- * In: sig: the signature being verified (cannot be NULL)
- * msg32: the 32-byte message hash being verified (cannot be NULL)
- * pubkey: pointer to an initialized public key to verify with (cannot be NULL)
+ * In: sig: the signature being verified.
+ * msghash32: the 32-byte message hash being verified.
+ * The verifier must make sure to apply a cryptographic
+ * hash function to the message by itself and not accept an
+ * msghash32 value directly. Otherwise, it would be easy to
+ * create a "valid" signature without knowledge of the
+ * secret key. See also
+ * https://bitcoin.stackexchange.com/a/81116/35586 for more
+ * background on this topic.
+ * pubkey: pointer to an initialized public key to verify with.
*
* To avoid accepting malleable signatures, only ECDSA signatures in lower-S
* form are accepted.
@@ -467,7 +503,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify(
const secp256k1_context* ctx,
const secp256k1_ecdsa_signature *sig,
- const unsigned char *msg32,
+ const unsigned char *msghash32,
const secp256k1_pubkey *pubkey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
@@ -479,8 +515,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify(
* or copy if the input was already normalized. (can be NULL if
* you're only interested in whether the input was already
* normalized).
- * In: sigin: a pointer to a signature to check/normalize (cannot be NULL,
- * can be identical to sigout)
+ * In: sigin: a pointer to a signature to check/normalize (can be identical to sigout)
*
* With ECDSA a third-party can forge a second distinct signature of the same
* message, given a single initial signature, but without knowing the key. This
@@ -532,12 +567,16 @@ SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_def
*
* Returns: 1: signature created
* 0: the nonce generation function failed, or the secret key was invalid.
- * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL)
- * Out: sig: pointer to an array where the signature will be placed (cannot be NULL)
- * In: msg32: the 32-byte message hash being signed (cannot be NULL)
- * seckey: pointer to a 32-byte secret key (cannot be NULL)
- * noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used
- * ndata: pointer to arbitrary data used by the nonce generation function (can be NULL)
+ * Args: ctx: pointer to a context object, initialized for signing.
+ * Out: sig: pointer to an array where the signature will be placed.
+ * In: msghash32: the 32-byte message hash being signed.
+ * seckey: pointer to a 32-byte secret key.
+ * noncefp: pointer to a nonce generation function. If NULL,
+ * secp256k1_nonce_function_default is used.
+ * ndata: pointer to arbitrary data used by the nonce generation function
+ * (can be NULL). If it is non-NULL and
+ * secp256k1_nonce_function_default is used, then ndata must be a
+ * pointer to 32-bytes of additional data.
*
* The created signature is always in lower-S form. See
* secp256k1_ecdsa_signature_normalize for more details.
@@ -545,7 +584,7 @@ SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_def
SECP256K1_API int secp256k1_ecdsa_sign(
const secp256k1_context* ctx,
secp256k1_ecdsa_signature *sig,
- const unsigned char *msg32,
+ const unsigned char *msghash32,
const unsigned char *seckey,
secp256k1_nonce_function noncefp,
const void *ndata
@@ -560,8 +599,8 @@ SECP256K1_API int secp256k1_ecdsa_sign(
*
* Returns: 1: secret key is valid
* 0: secret key is invalid
- * Args: ctx: pointer to a context object (cannot be NULL)
- * In: seckey: pointer to a 32-byte secret key (cannot be NULL)
+ * Args: ctx: pointer to a context object.
+ * In: seckey: pointer to a 32-byte secret key.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify(
const secp256k1_context* ctx,
@@ -570,11 +609,11 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify(
/** Compute the public key for a secret key.
*
- * Returns: 1: secret was valid, public key stores
- * 0: secret was invalid, try again
- * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL)
- * Out: pubkey: pointer to the created public key (cannot be NULL)
- * In: seckey: pointer to a 32-byte secret key (cannot be NULL)
+ * Returns: 1: secret was valid, public key stores.
+ * 0: secret was invalid, try again.
+ * Args: ctx: pointer to a context object, initialized for signing.
+ * Out: pubkey: pointer to the created public key.
+ * In: seckey: pointer to a 32-byte secret key.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
const secp256k1_context* ctx,
@@ -590,8 +629,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
* In/Out: seckey: pointer to the 32-byte secret key to be negated. If the
* secret key is invalid according to
* secp256k1_ec_seckey_verify, this function returns 0 and
- * seckey will be set to some unspecified value. (cannot be
- * NULL)
+ * seckey will be set to some unspecified value.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_negate(
const secp256k1_context* ctx,
@@ -609,7 +647,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate(
*
* Returns: 1 always
* Args: ctx: pointer to a context object
- * In/Out: pubkey: pointer to the public key to be negated (cannot be NULL)
+ * In/Out: pubkey: pointer to the public key to be negated.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate(
const secp256k1_context* ctx,
@@ -621,20 +659,20 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate(
* Returns: 0 if the arguments are invalid or the resulting secret key would be
* invalid (only when the tweak is the negation of the secret key). 1
* otherwise.
- * Args: ctx: pointer to a context object (cannot be NULL).
+ * Args: ctx: pointer to a context object.
* In/Out: seckey: pointer to a 32-byte secret key. If the secret key is
* invalid according to secp256k1_ec_seckey_verify, this
* function returns 0. seckey will be set to some unspecified
- * value if this function returns 0. (cannot be NULL)
- * In: tweak: pointer to a 32-byte tweak. If the tweak is invalid according to
+ * value if this function returns 0.
+ * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
* secp256k1_ec_seckey_verify, this function returns 0. For
* uniformly random 32-byte arrays the chance of being invalid
- * is negligible (around 1 in 2^128) (cannot be NULL).
+ * is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add(
const secp256k1_context* ctx,
unsigned char *seckey,
- const unsigned char *tweak
+ const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Same as secp256k1_ec_seckey_tweak_add, but DEPRECATED. Will be removed in
@@ -642,7 +680,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add(
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add(
const secp256k1_context* ctx,
unsigned char *seckey,
- const unsigned char *tweak
+ const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Tweak a public key by adding tweak times the generator to it.
@@ -650,38 +688,37 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add(
* Returns: 0 if the arguments are invalid or the resulting public key would be
* invalid (only when the tweak is the negation of the corresponding
* secret key). 1 otherwise.
- * Args: ctx: pointer to a context object initialized for validation
- * (cannot be NULL).
+ * Args: ctx: pointer to a context object initialized for validation.
* In/Out: pubkey: pointer to a public key object. pubkey will be set to an
- * invalid value if this function returns 0 (cannot be NULL).
- * In: tweak: pointer to a 32-byte tweak. If the tweak is invalid according to
+ * invalid value if this function returns 0.
+ * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
* secp256k1_ec_seckey_verify, this function returns 0. For
* uniformly random 32-byte arrays the chance of being invalid
- * is negligible (around 1 in 2^128) (cannot be NULL).
+ * is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add(
const secp256k1_context* ctx,
secp256k1_pubkey *pubkey,
- const unsigned char *tweak
+ const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Tweak a secret key by multiplying it by a tweak.
*
* Returns: 0 if the arguments are invalid. 1 otherwise.
- * Args: ctx: pointer to a context object (cannot be NULL).
+ * Args: ctx: pointer to a context object.
* In/Out: seckey: pointer to a 32-byte secret key. If the secret key is
* invalid according to secp256k1_ec_seckey_verify, this
* function returns 0. seckey will be set to some unspecified
- * value if this function returns 0. (cannot be NULL)
- * In: tweak: pointer to a 32-byte tweak. If the tweak is invalid according to
+ * value if this function returns 0.
+ * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
* secp256k1_ec_seckey_verify, this function returns 0. For
* uniformly random 32-byte arrays the chance of being invalid
- * is negligible (around 1 in 2^128) (cannot be NULL).
+ * is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul(
const secp256k1_context* ctx,
unsigned char *seckey,
- const unsigned char *tweak
+ const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Same as secp256k1_ec_seckey_tweak_mul, but DEPRECATED. Will be removed in
@@ -689,31 +726,30 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul(
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul(
const secp256k1_context* ctx,
unsigned char *seckey,
- const unsigned char *tweak
+ const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Tweak a public key by multiplying it by a tweak value.
*
* Returns: 0 if the arguments are invalid. 1 otherwise.
- * Args: ctx: pointer to a context object initialized for validation
- * (cannot be NULL).
+ * Args: ctx: pointer to a context object initialized for validation.
* In/Out: pubkey: pointer to a public key object. pubkey will be set to an
- * invalid value if this function returns 0 (cannot be NULL).
- * In: tweak: pointer to a 32-byte tweak. If the tweak is invalid according to
+ * invalid value if this function returns 0.
+ * In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
* secp256k1_ec_seckey_verify, this function returns 0. For
* uniformly random 32-byte arrays the chance of being invalid
- * is negligible (around 1 in 2^128) (cannot be NULL).
+ * is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul(
const secp256k1_context* ctx,
secp256k1_pubkey *pubkey,
- const unsigned char *tweak
+ const unsigned char *tweak32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
/** Updates the context randomization to protect against side-channel leakage.
* Returns: 1: randomization successfully updated or nothing to randomize
* 0: error
- * Args: ctx: pointer to a context object (cannot be NULL)
+ * Args: ctx: pointer to a context object.
* In: seed32: pointer to a 32-byte random seed (NULL resets to initial state)
*
* While secp256k1 code is written to be constant-time no matter what secret
@@ -744,18 +780,42 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize(
*
* Returns: 1: the sum of the public keys is valid.
* 0: the sum of the public keys is not valid.
- * Args: ctx: pointer to a context object
- * Out: out: pointer to a public key object for placing the resulting public key
- * (cannot be NULL)
- * In: ins: pointer to array of pointers to public keys (cannot be NULL)
- * n: the number of public keys to add together (must be at least 1)
+ * Args: ctx: pointer to a context object.
+ * Out: out: pointer to a public key object for placing the resulting public key.
+ * In: ins: pointer to array of pointers to public keys.
+ * n: the number of public keys to add together (must be at least 1).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine(
const secp256k1_context* ctx,
secp256k1_pubkey *out,
const secp256k1_pubkey * const * ins,
size_t n
-) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Compute a tagged hash as defined in BIP-340.
+ *
+ * This is useful for creating a message hash and achieving domain separation
+ * through an application-specific tag. This function returns
+ * SHA256(SHA256(tag)||SHA256(tag)||msg). Therefore, tagged hash
+ * implementations optimized for a specific tag can precompute the SHA256 state
+ * after hashing the tag hashes.
+ *
+ * Returns 0 if the arguments are invalid and 1 otherwise.
+ * Args: ctx: pointer to a context object
+ * Out: hash32: pointer to a 32-byte array to store the resulting hash
+ * In: tag: pointer to an array containing the tag
+ * taglen: length of the tag array
+ * msg: pointer to an array containing the message
+ * msglen: length of the message array
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_tagged_sha256(
+ const secp256k1_context* ctx,
+ unsigned char *hash32,
+ const unsigned char *tag,
+ size_t taglen,
+ const unsigned char *msg,
+ size_t msglen
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5);
#ifdef __cplusplus
}
diff --git a/src/secp256k1/include/secp256k1_ecdh.h b/src/secp256k1/include/secp256k1_ecdh.h
index 4058e9c043..c8577984b1 100644
--- a/src/secp256k1/include/secp256k1_ecdh.h
+++ b/src/secp256k1/include/secp256k1_ecdh.h
@@ -37,14 +37,15 @@ SECP256K1_API extern const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_func
*
* Returns: 1: exponentiation was successful
* 0: scalar was invalid (zero or overflow) or hashfp returned 0
- * Args: ctx: pointer to a context object (cannot be NULL)
- * Out: output: pointer to an array to be filled by hashfp
- * In: pubkey: a pointer to a secp256k1_pubkey containing an
- * initialized public key
- * seckey: a 32-byte scalar with which to multiply the point
- * hashfp: pointer to a hash function. If NULL, secp256k1_ecdh_hash_function_sha256 is used
- * (in which case, 32 bytes will be written to output)
+ * Args: ctx: pointer to a context object.
+ * Out: output: pointer to an array to be filled by hashfp.
+ * In: pubkey: a pointer to a secp256k1_pubkey containing an initialized public key.
+ * seckey: a 32-byte scalar with which to multiply the point.
+ * hashfp: pointer to a hash function. If NULL,
+ * secp256k1_ecdh_hash_function_sha256 is used
+ * (in which case, 32 bytes will be written to output).
* data: arbitrary data pointer that is passed through to hashfp
+ * (can be NULL for secp256k1_ecdh_hash_function_sha256).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdh(
const secp256k1_context* ctx,
diff --git a/src/secp256k1/include/secp256k1_extrakeys.h b/src/secp256k1/include/secp256k1_extrakeys.h
index 0c5dff2c94..a64d561b60 100644
--- a/src/secp256k1/include/secp256k1_extrakeys.h
+++ b/src/secp256k1/include/secp256k1_extrakeys.h
@@ -15,9 +15,9 @@ extern "C" {
* The exact representation of data inside is implementation defined and not
* guaranteed to be portable between different platforms or versions. It is
* however guaranteed to be 64 bytes in size, and can be safely copied/moved.
- * If you need to convert to a format suitable for storage, transmission, or
- * comparison, use secp256k1_xonly_pubkey_serialize and
- * secp256k1_xonly_pubkey_parse.
+ * If you need to convert to a format suitable for storage, transmission, use
+ * use secp256k1_xonly_pubkey_serialize and secp256k1_xonly_pubkey_parse. To
+ * compare keys, use secp256k1_xonly_pubkey_cmp.
*/
typedef struct {
unsigned char data[64];
@@ -39,11 +39,10 @@ typedef struct {
* Returns: 1 if the public key was fully valid.
* 0 if the public key could not be parsed or is invalid.
*
- * Args: ctx: a secp256k1 context object (cannot be NULL).
+ * Args: ctx: a secp256k1 context object.
* Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to a
* parsed version of input. If not, it's set to an invalid value.
- * (cannot be NULL).
- * In: input32: pointer to a serialized xonly_pubkey (cannot be NULL)
+ * In: input32: pointer to a serialized xonly_pubkey.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse(
const secp256k1_context* ctx,
@@ -55,11 +54,9 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse(
*
* Returns: 1 always.
*
- * Args: ctx: a secp256k1 context object (cannot be NULL).
- * Out: output32: a pointer to a 32-byte array to place the serialized key in
- * (cannot be NULL).
- * In: pubkey: a pointer to a secp256k1_xonly_pubkey containing an
- * initialized public key (cannot be NULL).
+ * Args: ctx: a secp256k1 context object.
+ * Out: output32: a pointer to a 32-byte array to place the serialized key in.
+ * In: pubkey: a pointer to a secp256k1_xonly_pubkey containing an initialized public key.
*/
SECP256K1_API int secp256k1_xonly_pubkey_serialize(
const secp256k1_context* ctx,
@@ -67,18 +64,32 @@ SECP256K1_API int secp256k1_xonly_pubkey_serialize(
const secp256k1_xonly_pubkey* pubkey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+/** Compare two x-only public keys using lexicographic order
+ *
+ * Returns: <0 if the first public key is less than the second
+ * >0 if the first public key is greater than the second
+ * 0 if the two public keys are equal
+ * Args: ctx: a secp256k1 context object.
+ * In: pubkey1: first public key to compare
+ * pubkey2: second public key to compare
+ */
+SECP256K1_API int secp256k1_xonly_pubkey_cmp(
+ const secp256k1_context* ctx,
+ const secp256k1_xonly_pubkey* pk1,
+ const secp256k1_xonly_pubkey* pk2
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
/** Converts a secp256k1_pubkey into a secp256k1_xonly_pubkey.
*
* Returns: 1 if the public key was successfully converted
* 0 otherwise
*
- * Args: ctx: pointer to a context object (cannot be NULL)
- * Out: xonly_pubkey: pointer to an x-only public key object for placing the
- * converted public key (cannot be NULL)
- * pk_parity: pointer to an integer that will be set to 1 if the point
- * encoded by xonly_pubkey is the negation of the pubkey and
- * set to 0 otherwise. (can be NULL)
- * In: pubkey: pointer to a public key that is converted (cannot be NULL)
+ * Args: ctx: pointer to a context object.
+ * Out: xonly_pubkey: pointer to an x-only public key object for placing the converted public key.
+ * pk_parity: Ignored if NULL. Otherwise, pointer to an integer that
+ * will be set to 1 if the point encoded by xonly_pubkey is
+ * the negation of the pubkey and set to 0 otherwise.
+ * In: pubkey: pointer to a public key that is converted.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubkey(
const secp256k1_context* ctx,
@@ -98,18 +109,14 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubke
* invalid (only when the tweak is the negation of the corresponding
* secret key). 1 otherwise.
*
- * Args: ctx: pointer to a context object initialized for verification
- * (cannot be NULL)
+ * Args: ctx: pointer to a context object initialized for verification.
* Out: output_pubkey: pointer to a public key to store the result. Will be set
- * to an invalid value if this function returns 0 (cannot
- * be NULL)
+ * to an invalid value if this function returns 0.
* In: internal_pubkey: pointer to an x-only pubkey to apply the tweak to.
- * (cannot be NULL).
* tweak32: pointer to a 32-byte tweak. If the tweak is invalid
* according to secp256k1_ec_seckey_verify, this function
* returns 0. For uniformly random 32-byte arrays the
- * chance of being invalid is negligible (around 1 in
- * 2^128) (cannot be NULL).
+ * chance of being invalid is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add(
const secp256k1_context* ctx,
@@ -131,17 +138,15 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add(
*
* Returns: 0 if the arguments are invalid or the tweaked pubkey is not the
* result of tweaking the internal_pubkey with tweak32. 1 otherwise.
- * Args: ctx: pointer to a context object initialized for verification
- * (cannot be NULL)
- * In: tweaked_pubkey32: pointer to a serialized xonly_pubkey (cannot be NULL)
+ * Args: ctx: pointer to a context object initialized for verification.
+ * In: tweaked_pubkey32: pointer to a serialized xonly_pubkey.
* tweaked_pk_parity: the parity of the tweaked pubkey (whose serialization
* is passed in as tweaked_pubkey32). This must match the
* pk_parity value that is returned when calling
* secp256k1_xonly_pubkey with the tweaked pubkey, or
* this function will fail.
- * internal_pubkey: pointer to an x-only public key object to apply the
- * tweak to (cannot be NULL)
- * tweak32: pointer to a 32-byte tweak (cannot be NULL)
+ * internal_pubkey: pointer to an x-only public key object to apply the tweak to.
+ * tweak32: pointer to a 32-byte tweak.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_check(
const secp256k1_context* ctx,
@@ -155,9 +160,9 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_
*
* Returns: 1: secret was valid, keypair is ready to use
* 0: secret was invalid, try again with a different secret
- * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL)
- * Out: keypair: pointer to the created keypair (cannot be NULL)
- * In: seckey: pointer to a 32-byte secret key (cannot be NULL)
+ * Args: ctx: pointer to a context object, initialized for signing.
+ * Out: keypair: pointer to the created keypair.
+ * In: seckey: pointer to a 32-byte secret key.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create(
const secp256k1_context* ctx,
@@ -165,14 +170,26 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create(
const unsigned char *seckey
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+/** Get the secret key from a keypair.
+ *
+ * Returns: 0 if the arguments are invalid. 1 otherwise.
+ * Args: ctx: pointer to a context object.
+ * Out: seckey: pointer to a 32-byte buffer for the secret key.
+ * In: keypair: pointer to a keypair.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_sec(
+ const secp256k1_context* ctx,
+ unsigned char *seckey,
+ const secp256k1_keypair *keypair
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
/** Get the public key from a keypair.
*
* Returns: 0 if the arguments are invalid. 1 otherwise.
- * Args: ctx: pointer to a context object (cannot be NULL)
+ * Args: ctx: pointer to a context object.
* Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to
* the keypair public key. If not, it's set to an invalid value.
- * (cannot be NULL)
- * In: keypair: pointer to a keypair (cannot be NULL)
+ * In: keypair: pointer to a keypair.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub(
const secp256k1_context* ctx,
@@ -186,14 +203,13 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub(
* secp256k1_xonly_pubkey_from_pubkey.
*
* Returns: 0 if the arguments are invalid. 1 otherwise.
- * Args: ctx: pointer to a context object (cannot be NULL)
+ * Args: ctx: pointer to a context object.
* Out: pubkey: pointer to an xonly_pubkey object. If 1 is returned, it is set
* to the keypair public key after converting it to an
- * xonly_pubkey. If not, it's set to an invalid value (cannot be
- * NULL).
- * pk_parity: pointer to an integer that will be set to the pk_parity
- * argument of secp256k1_xonly_pubkey_from_pubkey (can be NULL).
- * In: keypair: pointer to a keypair (cannot be NULL)
+ * xonly_pubkey. If not, it's set to an invalid value.
+ * pk_parity: Ignored if NULL. Otherwise, pointer to an integer that will be set to the
+ * pk_parity argument of secp256k1_xonly_pubkey_from_pubkey.
+ * In: keypair: pointer to a keypair.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub(
const secp256k1_context* ctx,
@@ -213,15 +229,13 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub(
* invalid (only when the tweak is the negation of the keypair's
* secret key). 1 otherwise.
*
- * Args: ctx: pointer to a context object initialized for verification
- * (cannot be NULL)
+ * Args: ctx: pointer to a context object initialized for verification.
* In/Out: keypair: pointer to a keypair to apply the tweak to. Will be set to
- * an invalid value if this function returns 0 (cannot be
- * NULL).
+ * an invalid value if this function returns 0.
* In: tweak32: pointer to a 32-byte tweak. If the tweak is invalid according
* to secp256k1_ec_seckey_verify, this function returns 0. For
* uniformly random 32-byte arrays the chance of being invalid
- * is negligible (around 1 in 2^128) (cannot be NULL).
+ * is negligible (around 1 in 2^128).
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_tweak_add(
const secp256k1_context* ctx,
diff --git a/src/secp256k1/include/secp256k1_preallocated.h b/src/secp256k1/include/secp256k1_preallocated.h
index a9ae15d5ae..d2d9014f02 100644
--- a/src/secp256k1/include/secp256k1_preallocated.h
+++ b/src/secp256k1/include/secp256k1_preallocated.h
@@ -55,7 +55,7 @@ SECP256K1_API size_t secp256k1_context_preallocated_size(
* Returns: a newly created context object.
* In: prealloc: a pointer to a rewritable contiguous block of memory of
* size at least secp256k1_context_preallocated_size(flags)
- * bytes, as detailed above (cannot be NULL)
+ * bytes, as detailed above.
* flags: which parts of the context to initialize.
*
* See also secp256k1_context_randomize (in secp256k1.h)
@@ -70,7 +70,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create(
* caller-provided memory.
*
* Returns: the required size of the caller-provided memory block.
- * In: ctx: an existing context to copy (cannot be NULL)
+ * In: ctx: an existing context to copy.
*/
SECP256K1_API size_t secp256k1_context_preallocated_clone_size(
const secp256k1_context* ctx
@@ -87,10 +87,10 @@ SECP256K1_API size_t secp256k1_context_preallocated_clone_size(
* secp256k1_context_preallocated_create for details.
*
* Returns: a newly created context object.
- * Args: ctx: an existing context to copy (cannot be NULL)
+ * Args: ctx: an existing context to copy.
* In: prealloc: a pointer to a rewritable contiguous block of memory of
* size at least secp256k1_context_preallocated_size(flags)
- * bytes, as detailed above (cannot be NULL)
+ * bytes, as detailed above.
*/
SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone(
const secp256k1_context* ctx,
@@ -115,11 +115,11 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone(
*
* Args: ctx: an existing context to destroy, constructed using
* secp256k1_context_preallocated_create or
- * secp256k1_context_preallocated_clone (cannot be NULL)
+ * secp256k1_context_preallocated_clone.
*/
SECP256K1_API void secp256k1_context_preallocated_destroy(
secp256k1_context* ctx
-);
+) SECP256K1_ARG_NONNULL(1);
#ifdef __cplusplus
}
diff --git a/src/secp256k1/include/secp256k1_recovery.h b/src/secp256k1/include/secp256k1_recovery.h
index f8ccaecd3d..0e2847db96 100644
--- a/src/secp256k1/include/secp256k1_recovery.h
+++ b/src/secp256k1/include/secp256k1_recovery.h
@@ -43,8 +43,9 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact(
/** Convert a recoverable signature into a normal signature.
*
* Returns: 1
- * Out: sig: a pointer to a normal signature (cannot be NULL).
- * In: sigin: a pointer to a recoverable signature (cannot be NULL).
+ * Args: ctx: a secp256k1 context object.
+ * Out: sig: a pointer to a normal signature.
+ * In: sigin: a pointer to a recoverable signature.
*/
SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert(
const secp256k1_context* ctx,
@@ -55,10 +56,10 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert(
/** Serialize an ECDSA signature in compact format (64 bytes + recovery id).
*
* Returns: 1
- * Args: ctx: a secp256k1 context object
- * Out: output64: a pointer to a 64-byte array of the compact signature (cannot be NULL)
- * recid: a pointer to an integer to hold the recovery id (can be NULL).
- * In: sig: a pointer to an initialized signature object (cannot be NULL)
+ * Args: ctx: a secp256k1 context object.
+ * Out: output64: a pointer to a 64-byte array of the compact signature.
+ * recid: a pointer to an integer to hold the recovery id.
+ * In: sig: a pointer to an initialized signature object.
*/
SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact(
const secp256k1_context* ctx,
@@ -71,17 +72,19 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact(
*
* Returns: 1: signature created
* 0: the nonce generation function failed, or the secret key was invalid.
- * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL)
- * Out: sig: pointer to an array where the signature will be placed (cannot be NULL)
- * In: msg32: the 32-byte message hash being signed (cannot be NULL)
- * seckey: pointer to a 32-byte secret key (cannot be NULL)
- * noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used
- * ndata: pointer to arbitrary data used by the nonce generation function (can be NULL)
+ * Args: ctx: pointer to a context object, initialized for signing.
+ * Out: sig: pointer to an array where the signature will be placed.
+ * In: msghash32: the 32-byte message hash being signed.
+ * seckey: pointer to a 32-byte secret key.
+ * noncefp: pointer to a nonce generation function. If NULL,
+ * secp256k1_nonce_function_default is used.
+ * ndata: pointer to arbitrary data used by the nonce generation function
+ * (can be NULL for secp256k1_nonce_function_default).
*/
SECP256K1_API int secp256k1_ecdsa_sign_recoverable(
const secp256k1_context* ctx,
secp256k1_ecdsa_recoverable_signature *sig,
- const unsigned char *msg32,
+ const unsigned char *msghash32,
const unsigned char *seckey,
secp256k1_nonce_function noncefp,
const void *ndata
@@ -91,16 +94,16 @@ SECP256K1_API int secp256k1_ecdsa_sign_recoverable(
*
* Returns: 1: public key successfully recovered (which guarantees a correct signature).
* 0: otherwise.
- * Args: ctx: pointer to a context object, initialized for verification (cannot be NULL)
- * Out: pubkey: pointer to the recovered public key (cannot be NULL)
- * In: sig: pointer to initialized signature that supports pubkey recovery (cannot be NULL)
- * msg32: the 32-byte message hash assumed to be signed (cannot be NULL)
+ * Args: ctx: pointer to a context object, initialized for verification.
+ * Out: pubkey: pointer to the recovered public key.
+ * In: sig: pointer to initialized signature that supports pubkey recovery.
+ * msghash32: the 32-byte message hash assumed to be signed.
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_recover(
const secp256k1_context* ctx,
secp256k1_pubkey *pubkey,
const secp256k1_ecdsa_recoverable_signature *sig,
- const unsigned char *msg32
+ const unsigned char *msghash32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
#ifdef __cplusplus
diff --git a/src/secp256k1/include/secp256k1_schnorrsig.h b/src/secp256k1/include/secp256k1_schnorrsig.h
index 0150cd3395..e971ddc2aa 100644
--- a/src/secp256k1/include/secp256k1_schnorrsig.h
+++ b/src/secp256k1/include/secp256k1_schnorrsig.h
@@ -23,24 +23,29 @@ extern "C" {
*
* Returns: 1 if a nonce was successfully generated. 0 will cause signing to
* return an error.
- * Out: nonce32: pointer to a 32-byte array to be filled by the function.
- * In: msg32: the 32-byte message hash being verified (will not be NULL)
- * key32: pointer to a 32-byte secret key (will not be NULL)
- * xonly_pk32: the 32-byte serialized xonly pubkey corresponding to key32
- * (will not be NULL)
- * algo16: pointer to a 16-byte array describing the signature
- * algorithm (will not be NULL).
- * data: Arbitrary data pointer that is passed through.
+ * Out: nonce32: pointer to a 32-byte array to be filled by the function
+ * In: msg: the message being verified. Is NULL if and only if msglen
+ * is 0.
+ * msglen: the length of the message
+ * key32: pointer to a 32-byte secret key (will not be NULL)
+ * xonly_pk32: the 32-byte serialized xonly pubkey corresponding to key32
+ * (will not be NULL)
+ * algo: pointer to an array describing the signature
+ * algorithm (will not be NULL)
+ * algolen: the length of the algo array
+ * data: arbitrary data pointer that is passed through
*
* Except for test cases, this function should compute some cryptographic hash of
* the message, the key, the pubkey, the algorithm description, and data.
*/
typedef int (*secp256k1_nonce_function_hardened)(
unsigned char *nonce32,
- const unsigned char *msg32,
+ const unsigned char *msg,
+ size_t msglen,
const unsigned char *key32,
const unsigned char *xonly_pk32,
- const unsigned char *algo16,
+ const unsigned char *algo,
+ size_t algolen,
void *data
);
@@ -50,59 +55,114 @@ typedef int (*secp256k1_nonce_function_hardened)(
*
* If a data pointer is passed, it is assumed to be a pointer to 32 bytes of
* auxiliary random data as defined in BIP-340. If the data pointer is NULL,
- * schnorrsig_sign does not produce BIP-340 compliant signatures. The algo16
- * argument must be non-NULL, otherwise the function will fail and return 0.
- * The hash will be tagged with algo16 after removing all terminating null
- * bytes. Therefore, to create BIP-340 compliant signatures, algo16 must be set
- * to "BIP0340/nonce\0\0\0"
+ * the nonce derivation procedure follows BIP-340 by setting the auxiliary
+ * random data to zero. The algo argument must be non-NULL, otherwise the
+ * function will fail and return 0. The hash will be tagged with algo.
+ * Therefore, to create BIP-340 compliant signatures, algo must be set to
+ * "BIP0340/nonce" and algolen to 13.
*/
SECP256K1_API extern const secp256k1_nonce_function_hardened secp256k1_nonce_function_bip340;
+/** Data structure that contains additional arguments for schnorrsig_sign_custom.
+ *
+ * A schnorrsig_extraparams structure object can be initialized correctly by
+ * setting it to SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT.
+ *
+ * Members:
+ * magic: set to SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC at initialization
+ * and has no other function than making sure the object is
+ * initialized.
+ * noncefp: pointer to a nonce generation function. If NULL,
+ * secp256k1_nonce_function_bip340 is used
+ * ndata: pointer to arbitrary data used by the nonce generation function
+ * (can be NULL). If it is non-NULL and
+ * secp256k1_nonce_function_bip340 is used, then ndata must be a
+ * pointer to 32-byte auxiliary randomness as per BIP-340.
+ */
+typedef struct {
+ unsigned char magic[4];
+ secp256k1_nonce_function_hardened noncefp;
+ void* ndata;
+} secp256k1_schnorrsig_extraparams;
+
+#define SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC { 0xda, 0x6f, 0xb3, 0x8c }
+#define SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT {\
+ SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC,\
+ NULL,\
+ NULL\
+}
+
/** Create a Schnorr signature.
*
* Does _not_ strictly follow BIP-340 because it does not verify the resulting
* signature. Instead, you can manually use secp256k1_schnorrsig_verify and
* abort if it fails.
*
- * Otherwise BIP-340 compliant if the noncefp argument is NULL or
- * secp256k1_nonce_function_bip340 and the ndata argument is 32-byte auxiliary
- * randomness.
+ * This function only signs 32-byte messages. If you have messages of a
+ * different size (or the same size but without a context-specific tag
+ * prefix), it is recommended to create a 32-byte message hash with
+ * secp256k1_tagged_sha256 and then sign the hash. Tagged hashing allows
+ * providing an context-specific tag for domain separation. This prevents
+ * signatures from being valid in multiple contexts by accident.
*
* Returns 1 on success, 0 on failure.
- * Args: ctx: pointer to a context object, initialized for signing (cannot be NULL)
- * Out: sig64: pointer to a 64-byte array to store the serialized signature (cannot be NULL)
- * In: msg32: the 32-byte message being signed (cannot be NULL)
- * keypair: pointer to an initialized keypair (cannot be NULL)
- * noncefp: pointer to a nonce generation function. If NULL, secp256k1_nonce_function_bip340 is used
- * ndata: pointer to arbitrary data used by the nonce generation
- * function (can be NULL). If it is non-NULL and
- * secp256k1_nonce_function_bip340 is used, then ndata must be a
- * pointer to 32-byte auxiliary randomness as per BIP-340.
+ * Args: ctx: pointer to a context object, initialized for signing.
+ * Out: sig64: pointer to a 64-byte array to store the serialized signature.
+ * In: msg32: the 32-byte message being signed.
+ * keypair: pointer to an initialized keypair.
+ * aux_rand32: 32 bytes of fresh randomness. While recommended to provide
+ * this, it is only supplemental to security and can be NULL. A
+ * NULL argument is treated the same as an all-zero one. See
+ * BIP-340 "Default Signing" for a full explanation of this
+ * argument and for guidance if randomness is expensive.
*/
SECP256K1_API int secp256k1_schnorrsig_sign(
const secp256k1_context* ctx,
unsigned char *sig64,
const unsigned char *msg32,
const secp256k1_keypair *keypair,
- secp256k1_nonce_function_hardened noncefp,
- void *ndata
+ const unsigned char *aux_rand32
) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+/** Create a Schnorr signature with a more flexible API.
+ *
+ * Same arguments as secp256k1_schnorrsig_sign except that it allows signing
+ * variable length messages and accepts a pointer to an extraparams object that
+ * allows customizing signing by passing additional arguments.
+ *
+ * Creates the same signatures as schnorrsig_sign if msglen is 32 and the
+ * extraparams.ndata is the same as aux_rand32.
+ *
+ * In: msg: the message being signed. Can only be NULL if msglen is 0.
+ * msglen: length of the message
+ * extraparams: pointer to a extraparams object (can be NULL)
+ */
+SECP256K1_API int secp256k1_schnorrsig_sign_custom(
+ const secp256k1_context* ctx,
+ unsigned char *sig64,
+ const unsigned char *msg,
+ size_t msglen,
+ const secp256k1_keypair *keypair,
+ secp256k1_schnorrsig_extraparams *extraparams
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(5);
+
/** Verify a Schnorr signature.
*
* Returns: 1: correct signature
* 0: incorrect signature
* Args: ctx: a secp256k1 context object, initialized for verification.
- * In: sig64: pointer to the 64-byte signature to verify (cannot be NULL)
- * msg32: the 32-byte message being verified (cannot be NULL)
+ * In: sig64: pointer to the 64-byte signature to verify.
+ * msg: the message being verified. Can only be NULL if msglen is 0.
+ * msglen: length of the message
* pubkey: pointer to an x-only public key to verify with (cannot be NULL)
*/
SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_verify(
const secp256k1_context* ctx,
const unsigned char *sig64,
- const unsigned char *msg32,
+ const unsigned char *msg,
+ size_t msglen,
const secp256k1_xonly_pubkey *pubkey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(5);
#ifdef __cplusplus
}
diff --git a/src/secp256k1/obj/.gitignore b/src/secp256k1/obj/.gitignore
deleted file mode 100644
index e69de29bb2..0000000000
--- a/src/secp256k1/obj/.gitignore
+++ /dev/null
diff --git a/src/secp256k1/sage/gen_exhaustive_groups.sage b/src/secp256k1/sage/gen_exhaustive_groups.sage
index 3c3c984811..01d15dcdea 100644
--- a/src/secp256k1/sage/gen_exhaustive_groups.sage
+++ b/src/secp256k1/sage/gen_exhaustive_groups.sage
@@ -1,9 +1,4 @@
-# Define field size and field
-P = 2^256 - 2^32 - 977
-F = GF(P)
-BETA = F(0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee)
-
-assert(BETA != F(1) and BETA^3 == F(1))
+load("secp256k1_params.sage")
orders_done = set()
results = {}
diff --git a/src/secp256k1/sage/gen_split_lambda_constants.sage b/src/secp256k1/sage/gen_split_lambda_constants.sage
new file mode 100644
index 0000000000..7d4359e0f6
--- /dev/null
+++ b/src/secp256k1/sage/gen_split_lambda_constants.sage
@@ -0,0 +1,114 @@
+""" Generates the constants used in secp256k1_scalar_split_lambda.
+
+See the comments for secp256k1_scalar_split_lambda in src/scalar_impl.h for detailed explanations.
+"""
+
+load("secp256k1_params.sage")
+
+def inf_norm(v):
+ """Returns the infinity norm of a vector."""
+ return max(map(abs, v))
+
+def gauss_reduction(i1, i2):
+ v1, v2 = i1.copy(), i2.copy()
+ while True:
+ if inf_norm(v2) < inf_norm(v1):
+ v1, v2 = v2, v1
+ # This is essentially
+ # m = round((v1[0]*v2[0] + v1[1]*v2[1]) / (inf_norm(v1)**2))
+ # (rounding to the nearest integer) without relying on floating point arithmetic.
+ m = ((v1[0]*v2[0] + v1[1]*v2[1]) + (inf_norm(v1)**2) // 2) // (inf_norm(v1)**2)
+ if m == 0:
+ return v1, v2
+ v2[0] -= m*v1[0]
+ v2[1] -= m*v1[1]
+
+def find_split_constants_gauss():
+ """Find constants for secp256k1_scalar_split_lamdba using gauss reduction."""
+ (v11, v12), (v21, v22) = gauss_reduction([0, N], [1, int(LAMBDA)])
+
+ # We use related vectors in secp256k1_scalar_split_lambda.
+ A1, B1 = -v21, -v11
+ A2, B2 = v22, -v21
+
+ return A1, B1, A2, B2
+
+def find_split_constants_explicit_tof():
+ """Find constants for secp256k1_scalar_split_lamdba using the trace of Frobenius.
+
+ See Benjamin Smith: "Easy scalar decompositions for efficient scalar multiplication on
+ elliptic curves and genus 2 Jacobians" (https://eprint.iacr.org/2013/672), Example 2
+ """
+ assert P % 3 == 1 # The paper says P % 3 == 2 but that appears to be a mistake, see [10].
+ assert C.j_invariant() == 0
+
+ t = C.trace_of_frobenius()
+
+ c = Integer(sqrt((4*P - t**2)/3))
+ A1 = Integer((t - c)/2 - 1)
+ B1 = c
+
+ A2 = Integer((t + c)/2 - 1)
+ B2 = Integer(1 - (t - c)/2)
+
+ # We use a negated b values in secp256k1_scalar_split_lambda.
+ B1, B2 = -B1, -B2
+
+ return A1, B1, A2, B2
+
+A1, B1, A2, B2 = find_split_constants_explicit_tof()
+
+# For extra fun, use an independent method to recompute the constants.
+assert (A1, B1, A2, B2) == find_split_constants_gauss()
+
+# PHI : Z[l] -> Z_n where phi(a + b*l) == a + b*lambda mod n.
+def PHI(a,b):
+ return Z(a + LAMBDA*b)
+
+# Check that (A1, B1) and (A2, B2) are in the kernel of PHI.
+assert PHI(A1, B1) == Z(0)
+assert PHI(A2, B2) == Z(0)
+
+# Check that the parallelogram generated by (A1, A2) and (B1, B2)
+# is a fundamental domain by containing exactly N points.
+# Since the LHS is the determinant and N != 0, this also checks that
+# (A1, A2) and (B1, B2) are linearly independent. By the previous
+# assertions, (A1, A2) and (B1, B2) are a basis of the kernel.
+assert A1*B2 - B1*A2 == N
+
+# Check that their components are short enough.
+assert (A1 + A2)/2 < sqrt(N)
+assert B1 < sqrt(N)
+assert B2 < sqrt(N)
+
+G1 = round((2**384)*B2/N)
+G2 = round((2**384)*(-B1)/N)
+
+def rnddiv2(v):
+ if v & 1:
+ v += 1
+ return v >> 1
+
+def scalar_lambda_split(k):
+ """Equivalent to secp256k1_scalar_lambda_split()."""
+ c1 = rnddiv2((k * G1) >> 383)
+ c2 = rnddiv2((k * G2) >> 383)
+ c1 = (c1 * -B1) % N
+ c2 = (c2 * -B2) % N
+ r2 = (c1 + c2) % N
+ r1 = (k + r2 * -LAMBDA) % N
+ return (r1, r2)
+
+# The result of scalar_lambda_split can depend on the representation of k (mod n).
+SPECIAL = (2**383) // G2 + 1
+assert scalar_lambda_split(SPECIAL) != scalar_lambda_split(SPECIAL + N)
+
+print(' A1 =', hex(A1))
+print(' -B1 =', hex(-B1))
+print(' A2 =', hex(A2))
+print(' -B2 =', hex(-B2))
+print(' =', hex(Z(-B2)))
+print(' -LAMBDA =', hex(-LAMBDA))
+
+print(' G1 =', hex(G1))
+print(' G2 =', hex(G2))
diff --git a/src/secp256k1/sage/group_prover.sage b/src/secp256k1/sage/group_prover.sage
index 8521f07999..b200bfeae3 100644
--- a/src/secp256k1/sage/group_prover.sage
+++ b/src/secp256k1/sage/group_prover.sage
@@ -42,7 +42,7 @@
# as we assume that all constraints in it are complementary with each other.
#
# Based on the sage verification scripts used in the Explicit-Formulas Database
-# by Tanja Lange and others, see http://hyperelliptic.org/EFD
+# by Tanja Lange and others, see https://hyperelliptic.org/EFD
class fastfrac:
"""Fractions over rings."""
@@ -65,7 +65,7 @@ class fastfrac:
return self.top in I and self.bot not in I
def reduce(self,assumeZero):
- zero = self.R.ideal(map(numerator, assumeZero))
+ zero = self.R.ideal(list(map(numerator, assumeZero)))
return fastfrac(self.R, zero.reduce(self.top)) / fastfrac(self.R, zero.reduce(self.bot))
def __add__(self,other):
@@ -100,7 +100,7 @@ class fastfrac:
"""Multiply something else with a fraction."""
return self.__mul__(other)
- def __div__(self,other):
+ def __truediv__(self,other):
"""Divide two fractions."""
if parent(other) == ZZ:
return fastfrac(self.R,self.top,self.bot * other)
@@ -108,6 +108,11 @@ class fastfrac:
return fastfrac(self.R,self.top * other.bot,self.bot * other.top)
return NotImplemented
+ # Compatibility wrapper for Sage versions based on Python 2
+ def __div__(self,other):
+ """Divide two fractions."""
+ return self.__truediv__(other)
+
def __pow__(self,other):
"""Compute a power of a fraction."""
if parent(other) == ZZ:
@@ -175,7 +180,7 @@ class constraints:
def conflicts(R, con):
"""Check whether any of the passed non-zero assumptions is implied by the zero assumptions"""
- zero = R.ideal(map(numerator, con.zero))
+ zero = R.ideal(list(map(numerator, con.zero)))
if 1 in zero:
return True
# First a cheap check whether any of the individual nonzero terms conflict on
@@ -195,7 +200,7 @@ def conflicts(R, con):
def get_nonzero_set(R, assume):
"""Calculate a simple set of nonzero expressions"""
- zero = R.ideal(map(numerator, assume.zero))
+ zero = R.ideal(list(map(numerator, assume.zero)))
nonzero = set()
for nz in map(numerator, assume.nonzero):
for (f,n) in nz.factor():
@@ -208,7 +213,7 @@ def get_nonzero_set(R, assume):
def prove_nonzero(R, exprs, assume):
"""Check whether an expression is provably nonzero, given assumptions"""
- zero = R.ideal(map(numerator, assume.zero))
+ zero = R.ideal(list(map(numerator, assume.zero)))
nonzero = get_nonzero_set(R, assume)
expl = set()
ok = True
@@ -250,7 +255,7 @@ def prove_zero(R, exprs, assume):
r, e = prove_nonzero(R, dict(map(lambda x: (fastfrac(R, x.bot, 1), exprs[x]), exprs)), assume)
if not r:
return (False, map(lambda x: "Possibly zero denominator: %s" % x, e))
- zero = R.ideal(map(numerator, assume.zero))
+ zero = R.ideal(list(map(numerator, assume.zero)))
nonzero = prod(x for x in assume.nonzero)
expl = []
for expr in exprs:
@@ -265,8 +270,8 @@ def describe_extra(R, assume, assumeExtra):
"""Describe what assumptions are added, given existing assumptions"""
zerox = assume.zero.copy()
zerox.update(assumeExtra.zero)
- zero = R.ideal(map(numerator, assume.zero))
- zeroextra = R.ideal(map(numerator, zerox))
+ zero = R.ideal(list(map(numerator, assume.zero)))
+ zeroextra = R.ideal(list(map(numerator, zerox)))
nonzero = get_nonzero_set(R, assume)
ret = set()
# Iterate over the extra zero expressions
diff --git a/src/secp256k1/sage/secp256k1.sage b/src/secp256k1/sage/prove_group_implementations.sage
index a97e732f7f..a97e732f7f 100644
--- a/src/secp256k1/sage/secp256k1.sage
+++ b/src/secp256k1/sage/prove_group_implementations.sage
diff --git a/src/secp256k1/sage/secp256k1_params.sage b/src/secp256k1/sage/secp256k1_params.sage
new file mode 100644
index 0000000000..68f95adec4
--- /dev/null
+++ b/src/secp256k1/sage/secp256k1_params.sage
@@ -0,0 +1,39 @@
+"""Prime order of finite field underlying secp256k1 (2^256 - 2^32 - 977)"""
+P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F
+
+"""Finite field underlying secp256k1"""
+F = FiniteField(P)
+
+"""Elliptic curve secp256k1: y^2 = x^3 + 7"""
+C = EllipticCurve([F(0), F(7)])
+
+"""Base point of secp256k1"""
+G = C.lift_x(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798)
+if int(G[1]) & 1:
+ # G.y is even
+ G = -G
+
+"""Prime order of secp256k1"""
+N = C.order()
+
+"""Finite field of scalars of secp256k1"""
+Z = FiniteField(N)
+
+""" Beta value of secp256k1 non-trivial endomorphism: lambda * (x, y) = (beta * x, y)"""
+BETA = F(2)^((P-1)/3)
+
+""" Lambda value of secp256k1 non-trivial endomorphism: lambda * (x, y) = (beta * x, y)"""
+LAMBDA = Z(3)^((N-1)/3)
+
+assert is_prime(P)
+assert is_prime(N)
+
+assert BETA != F(1)
+assert BETA^3 == F(1)
+assert BETA^2 + BETA + 1 == 0
+
+assert LAMBDA != Z(1)
+assert LAMBDA^3 == Z(1)
+assert LAMBDA^2 + LAMBDA + 1 == 0
+
+assert Integer(LAMBDA)*G == C(BETA*G[0], G[1])
diff --git a/src/secp256k1/sage/weierstrass_prover.sage b/src/secp256k1/sage/weierstrass_prover.sage
index 03ef2ec901..b770c6dafe 100644
--- a/src/secp256k1/sage/weierstrass_prover.sage
+++ b/src/secp256k1/sage/weierstrass_prover.sage
@@ -175,24 +175,24 @@ laws_jacobian_weierstrass = {
def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p):
"""Verify an implementation of addition of Jacobian points on a Weierstrass curve, by executing and validating the result for every possible addition in a prime field"""
F = Integers(p)
- print "Formula %s on Z%i:" % (name, p)
+ print("Formula %s on Z%i:" % (name, p))
points = []
- for x in xrange(0, p):
- for y in xrange(0, p):
+ for x in range(0, p):
+ for y in range(0, p):
point = affinepoint(F(x), F(y))
r, e = concrete_verify(on_weierstrass_curve(A, B, point))
if r:
points.append(point)
- for za in xrange(1, p):
- for zb in xrange(1, p):
+ for za in range(1, p):
+ for zb in range(1, p):
for pa in points:
for pb in points:
- for ia in xrange(2):
- for ib in xrange(2):
+ for ia in range(2):
+ for ib in range(2):
pA = jacobianpoint(pa.x * F(za)^2, pa.y * F(za)^3, F(za), ia)
pB = jacobianpoint(pb.x * F(zb)^2, pb.y * F(zb)^3, F(zb), ib)
- for branch in xrange(0, branches):
+ for branch in range(0, branches):
assumeAssert, assumeBranch, pC = formula(branch, pA, pB)
pC.X = F(pC.X)
pC.Y = F(pC.Y)
@@ -206,13 +206,13 @@ def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p):
r, e = concrete_verify(assumeLaw)
if r:
if match:
- print " multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity)
+ print(" multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity))
else:
match = True
r, e = concrete_verify(require)
if not r:
- print " failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e)
- print
+ print(" failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e))
+ print()
def check_symbolic_function(R, assumeAssert, assumeBranch, f, A, B, pa, pb, pA, pB, pC):
@@ -242,9 +242,9 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula):
for key in laws_jacobian_weierstrass:
res[key] = []
- print ("Formula " + name + ":")
+ print("Formula " + name + ":")
count = 0
- for branch in xrange(branches):
+ for branch in range(branches):
assumeFormula, assumeBranch, pC = formula(branch, pA, pB)
pC.X = lift(pC.X)
pC.Y = lift(pC.Y)
@@ -255,10 +255,10 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula):
res[key].append((check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC), branch))
for key in res:
- print " %s:" % key
+ print(" %s:" % key)
val = res[key]
for x in val:
if x[0] is not None:
- print " branch %i: %s" % (x[1], x[0])
+ print(" branch %i: %s" % (x[1], x[0]))
- print
+ print()
diff --git a/src/secp256k1/src/asm/field_10x26_arm.s b/src/secp256k1/src/asm/field_10x26_arm.s
index 9a5bd06721..5f68cefc46 100644
--- a/src/secp256k1/src/asm/field_10x26_arm.s
+++ b/src/secp256k1/src/asm/field_10x26_arm.s
@@ -1,9 +1,9 @@
@ vim: set tabstop=8 softtabstop=8 shiftwidth=8 noexpandtab syntax=armasm:
-/**********************************************************************
- * Copyright (c) 2014 Wladimir J. van der Laan *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Wladimir J. van der Laan *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
/*
ARM implementation of field_10x26 inner loops.
diff --git a/src/secp256k1/src/assumptions.h b/src/secp256k1/src/assumptions.h
index 77204de2b8..6dc527b288 100644
--- a/src/secp256k1/src/assumptions.h
+++ b/src/secp256k1/src/assumptions.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2020 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2020 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ASSUMPTIONS_H
#define SECP256K1_ASSUMPTIONS_H
diff --git a/src/secp256k1/src/basic-config.h b/src/secp256k1/src/basic-config.h
index b0d82e89b4..6f7693cb8f 100644
--- a/src/secp256k1/src/basic-config.h
+++ b/src/secp256k1/src/basic-config.h
@@ -1,33 +1,16 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_BASIC_CONFIG_H
#define SECP256K1_BASIC_CONFIG_H
#ifdef USE_BASIC_CONFIG
-#undef USE_ASM_X86_64
-#undef USE_ECMULT_STATIC_PRECOMPUTATION
-#undef USE_EXTERNAL_ASM
-#undef USE_EXTERNAL_DEFAULT_CALLBACKS
-#undef USE_FIELD_INV_BUILTIN
-#undef USE_FIELD_INV_NUM
-#undef USE_NUM_GMP
-#undef USE_NUM_NONE
-#undef USE_SCALAR_INV_BUILTIN
-#undef USE_SCALAR_INV_NUM
-#undef USE_FORCE_WIDEMUL_INT64
-#undef USE_FORCE_WIDEMUL_INT128
-#undef ECMULT_WINDOW_SIZE
-
-#define USE_NUM_NONE 1
-#define USE_FIELD_INV_BUILTIN 1
-#define USE_SCALAR_INV_BUILTIN 1
-#define USE_WIDEMUL_64 1
#define ECMULT_WINDOW_SIZE 15
+#define ECMULT_GEN_PREC_BITS 4
#endif /* USE_BASIC_CONFIG */
diff --git a/src/secp256k1/src/bench.c b/src/secp256k1/src/bench.c
new file mode 100644
index 0000000000..d5937b763f
--- /dev/null
+++ b/src/secp256k1/src/bench.c
@@ -0,0 +1,234 @@
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#include <stdio.h>
+#include <string.h>
+
+#include "../include/secp256k1.h"
+#include "util.h"
+#include "bench.h"
+
+void help(int default_iters) {
+ printf("Benchmarks the following algorithms:\n");
+ printf(" - ECDSA signing/verification\n");
+
+#ifdef ENABLE_MODULE_ECDH
+ printf(" - ECDH key exchange (optional module)\n");
+#endif
+
+#ifdef ENABLE_MODULE_RECOVERY
+ printf(" - Public key recovery (optional module)\n");
+#endif
+
+#ifdef ENABLE_MODULE_SCHNORRSIG
+ printf(" - Schnorr signatures (optional module)\n");
+#endif
+
+ printf("\n");
+ printf("The default number of iterations for each benchmark is %d. This can be\n", default_iters);
+ printf("customized using the SECP256K1_BENCH_ITERS environment variable.\n");
+ printf("\n");
+ printf("Usage: ./bench [args]\n");
+ printf("By default, all benchmarks will be run.\n");
+ printf("args:\n");
+ printf(" help : display this help and exit\n");
+ printf(" ecdsa : all ECDSA algorithms--sign, verify, recovery (if enabled)\n");
+ printf(" ecdsa_sign : ECDSA siging algorithm\n");
+ printf(" ecdsa_verify : ECDSA verification algorithm\n");
+
+#ifdef ENABLE_MODULE_RECOVERY
+ printf(" ecdsa_recover : ECDSA public key recovery algorithm\n");
+#endif
+
+#ifdef ENABLE_MODULE_ECDH
+ printf(" ecdh : ECDH key exchange algorithm\n");
+#endif
+
+#ifdef ENABLE_MODULE_SCHNORRSIG
+ printf(" schnorrsig : all Schnorr signature algorithms (sign, verify)\n");
+ printf(" schnorrsig_sign : Schnorr sigining algorithm\n");
+ printf(" schnorrsig_verify : Schnorr verification algorithm\n");
+#endif
+
+ printf("\n");
+}
+
+typedef struct {
+ secp256k1_context *ctx;
+ unsigned char msg[32];
+ unsigned char key[32];
+ unsigned char sig[72];
+ size_t siglen;
+ unsigned char pubkey[33];
+ size_t pubkeylen;
+} bench_verify_data;
+
+static void bench_verify(void* arg, int iters) {
+ int i;
+ bench_verify_data* data = (bench_verify_data*)arg;
+
+ for (i = 0; i < iters; i++) {
+ secp256k1_pubkey pubkey;
+ secp256k1_ecdsa_signature sig;
+ data->sig[data->siglen - 1] ^= (i & 0xFF);
+ data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
+ data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
+ CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1);
+ CHECK(secp256k1_ecdsa_signature_parse_der(data->ctx, &sig, data->sig, data->siglen) == 1);
+ CHECK(secp256k1_ecdsa_verify(data->ctx, &sig, data->msg, &pubkey) == (i == 0));
+ data->sig[data->siglen - 1] ^= (i & 0xFF);
+ data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
+ data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
+ }
+}
+
+typedef struct {
+ secp256k1_context* ctx;
+ unsigned char msg[32];
+ unsigned char key[32];
+} bench_sign_data;
+
+static void bench_sign_setup(void* arg) {
+ int i;
+ bench_sign_data *data = (bench_sign_data*)arg;
+
+ for (i = 0; i < 32; i++) {
+ data->msg[i] = i + 1;
+ }
+ for (i = 0; i < 32; i++) {
+ data->key[i] = i + 65;
+ }
+}
+
+static void bench_sign_run(void* arg, int iters) {
+ int i;
+ bench_sign_data *data = (bench_sign_data*)arg;
+
+ unsigned char sig[74];
+ for (i = 0; i < iters; i++) {
+ size_t siglen = 74;
+ int j;
+ secp256k1_ecdsa_signature signature;
+ CHECK(secp256k1_ecdsa_sign(data->ctx, &signature, data->msg, data->key, NULL, NULL));
+ CHECK(secp256k1_ecdsa_signature_serialize_der(data->ctx, sig, &siglen, &signature));
+ for (j = 0; j < 32; j++) {
+ data->msg[j] = sig[j];
+ data->key[j] = sig[j + 32];
+ }
+ }
+}
+
+#ifdef ENABLE_MODULE_ECDH
+# include "modules/ecdh/bench_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_RECOVERY
+# include "modules/recovery/bench_impl.h"
+#endif
+
+#ifdef ENABLE_MODULE_SCHNORRSIG
+# include "modules/schnorrsig/bench_impl.h"
+#endif
+
+int main(int argc, char** argv) {
+ int i;
+ secp256k1_pubkey pubkey;
+ secp256k1_ecdsa_signature sig;
+ bench_verify_data data;
+
+ int d = argc == 1;
+ int default_iters = 20000;
+ int iters = get_iters(default_iters);
+
+ /* Check for invalid user arguments */
+ char* valid_args[] = {"ecdsa", "verify", "ecdsa_verify", "sign", "ecdsa_sign", "ecdh", "recover",
+ "ecdsa_recover", "schnorrsig", "schnorrsig_verify", "schnorrsig_sign"};
+ size_t valid_args_size = sizeof(valid_args)/sizeof(valid_args[0]);
+ int invalid_args = have_invalid_args(argc, argv, valid_args, valid_args_size);
+
+ if (argc > 1) {
+ if (have_flag(argc, argv, "-h")
+ || have_flag(argc, argv, "--help")
+ || have_flag(argc, argv, "help")) {
+ help(default_iters);
+ return 0;
+ } else if (invalid_args) {
+ fprintf(stderr, "./bench: unrecognized argument.\n\n");
+ help(default_iters);
+ return 1;
+ }
+ }
+
+/* Check if the user tries to benchmark optional module without building it */
+#ifndef ENABLE_MODULE_ECDH
+ if (have_flag(argc, argv, "ecdh")) {
+ fprintf(stderr, "./bench: ECDH module not enabled.\n");
+ fprintf(stderr, "Use ./configure --enable-module-ecdh.\n\n");
+ return 1;
+ }
+#endif
+
+#ifndef ENABLE_MODULE_RECOVERY
+ if (have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) {
+ fprintf(stderr, "./bench: Public key recovery module not enabled.\n");
+ fprintf(stderr, "Use ./configure --enable-module-recovery.\n\n");
+ return 1;
+ }
+#endif
+
+#ifndef ENABLE_MODULE_SCHNORRSIG
+ if (have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "schnorrsig_sign") || have_flag(argc, argv, "schnorrsig_verify")) {
+ fprintf(stderr, "./bench: Schnorr signatures module not enabled.\n");
+ fprintf(stderr, "Use ./configure --enable-module-schnorrsig.\n\n");
+ return 1;
+ }
+#endif
+
+ /* ECDSA verification benchmark */
+ data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+
+ for (i = 0; i < 32; i++) {
+ data.msg[i] = 1 + i;
+ }
+ for (i = 0; i < 32; i++) {
+ data.key[i] = 33 + i;
+ }
+ data.siglen = 72;
+ CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL));
+ CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig));
+ CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key));
+ data.pubkeylen = 33;
+ CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
+
+ print_output_table_header_row();
+ if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "ecdsa_verify")) run_benchmark("ecdsa_verify", bench_verify, NULL, NULL, &data, 10, iters);
+
+ secp256k1_context_destroy(data.ctx);
+
+ /* ECDSA signing benchmark */
+ data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
+
+ if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "ecdsa_sign")) run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, iters);
+
+ secp256k1_context_destroy(data.ctx);
+
+#ifdef ENABLE_MODULE_ECDH
+ /* ECDH benchmarks */
+ run_ecdh_bench(iters, argc, argv);
+#endif
+
+#ifdef ENABLE_MODULE_RECOVERY
+ /* ECDSA recovery benchmarks */
+ run_recovery_bench(iters, argc, argv);
+#endif
+
+#ifdef ENABLE_MODULE_SCHNORRSIG
+ /* Schnorr signature benchmarks */
+ run_schnorrsig_bench(iters, argc, argv);
+#endif
+
+ return 0;
+}
diff --git a/src/secp256k1/src/bench.h b/src/secp256k1/src/bench.h
index 9bfed903e0..aa275fe919 100644
--- a/src/secp256k1/src/bench.h
+++ b/src/secp256k1/src/bench.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_BENCH_H
#define SECP256K1_BENCH_H
@@ -24,7 +24,7 @@ static int64_t gettime_i64(void) {
/* Format fixed point number. */
void print_number(const int64_t x) {
int64_t x_abs, y;
- int c, i, rounding;
+ int c, i, rounding, g; /* g = integer part size, c = fractional part size */
size_t ptr;
char buffer[30];
@@ -56,21 +56,27 @@ void print_number(const int64_t x) {
/* Format and print the number. */
ptr = sizeof(buffer) - 1;
buffer[ptr] = 0;
- if (c != 0) {
+ g = 0;
+ if (c != 0) { /* non zero fractional part */
for (i = 0; i < c; ++i) {
buffer[--ptr] = '0' + (y % 10);
y /= 10;
}
- buffer[--ptr] = '.';
+ } else if (c == 0) { /* fractional part is 0 */
+ buffer[--ptr] = '0';
}
+ buffer[--ptr] = '.';
do {
buffer[--ptr] = '0' + (y % 10);
y /= 10;
+ g++;
} while (y != 0);
if (x < 0) {
buffer[--ptr] = '-';
+ g++;
}
- printf("%s", &buffer[ptr]);
+ printf("%5.*s", g, &buffer[ptr]); /* Prints integer part */
+ printf("%-*s", FP_EXP, &buffer[ptr + g]); /* Prints fractional part */
}
void run_benchmark(char *name, void (*benchmark)(void*, int), void (*setup)(void*), void (*teardown)(void*, int), void* data, int count, int iter) {
@@ -97,22 +103,20 @@ void run_benchmark(char *name, void (*benchmark)(void*, int), void (*setup)(void
}
sum += total;
}
- printf("%s: min ", name);
+ /* ',' is used as a column delimiter */
+ printf("%-30s, ", name);
print_number(min * FP_MULT / iter);
- printf("us / avg ");
+ printf(" , ");
print_number(((sum * FP_MULT) / count) / iter);
- printf("us / max ");
+ printf(" , ");
print_number(max * FP_MULT / iter);
- printf("us\n");
+ printf("\n");
}
int have_flag(int argc, char** argv, char *flag) {
char** argm = argv + argc;
argv++;
- if (argv == argm) {
- return 1;
- }
- while (argv != NULL && argv != argm) {
+ while (argv != argm) {
if (strcmp(*argv, flag) == 0) {
return 1;
}
@@ -121,6 +125,32 @@ int have_flag(int argc, char** argv, char *flag) {
return 0;
}
+/* takes an array containing the arguments that the user is allowed to enter on the command-line
+ returns:
+ - 1 if the user entered an invalid argument
+ - 0 if all the user entered arguments are valid */
+int have_invalid_args(int argc, char** argv, char** valid_args, size_t n) {
+ size_t i;
+ int found_valid;
+ char** argm = argv + argc;
+ argv++;
+
+ while (argv != argm) {
+ found_valid = 0;
+ for (i = 0; i < n; i++) {
+ if (strcmp(*argv, valid_args[i]) == 0) {
+ found_valid = 1; /* user entered a valid arg from the list */
+ break;
+ }
+ }
+ if (found_valid == 0) {
+ return 1; /* invalid arg found */
+ }
+ argv++;
+ }
+ return 0;
+}
+
int get_iters(int default_iters) {
char* env = getenv("SECP256K1_BENCH_ITERS");
if (env) {
@@ -130,4 +160,13 @@ int get_iters(int default_iters) {
}
}
+void print_output_table_header_row(void) {
+ char* bench_str = "Benchmark"; /* left justified */
+ char* min_str = " Min(us) "; /* center alignment */
+ char* avg_str = " Avg(us) ";
+ char* max_str = " Max(us) ";
+ printf("%-30s,%-15s,%-15s,%-15s\n", bench_str, min_str, avg_str, max_str);
+ printf("\n");
+}
+
#endif /* SECP256K1_BENCH_H */
diff --git a/src/secp256k1/src/bench_ecmult.c b/src/secp256k1/src/bench_ecmult.c
index facd07ef31..4030e0263f 100644
--- a/src/secp256k1/src/bench_ecmult.c
+++ b/src/secp256k1/src/bench_ecmult.c
@@ -1,47 +1,191 @@
-/**********************************************************************
- * Copyright (c) 2017 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2017 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#include <stdio.h>
-#include "include/secp256k1.h"
+#include "secp256k1.c"
+#include "../include/secp256k1.h"
#include "util.h"
#include "hash_impl.h"
-#include "num_impl.h"
#include "field_impl.h"
#include "group_impl.h"
#include "scalar_impl.h"
#include "ecmult_impl.h"
#include "bench.h"
-#include "secp256k1.c"
#define POINTS 32768
+void help(char **argv) {
+ printf("Benchmark EC multiplication algorithms\n");
+ printf("\n");
+ printf("Usage: %s <help|pippenger_wnaf|strauss_wnaf|simple>\n", argv[0]);
+ printf("The output shows the number of multiplied and summed points right after the\n");
+ printf("function name. The letter 'g' indicates that one of the points is the generator.\n");
+ printf("The benchmarks are divided by the number of points.\n");
+ printf("\n");
+ printf("default (ecmult_multi): picks pippenger_wnaf or strauss_wnaf depending on the\n");
+ printf(" batch size\n");
+ printf("pippenger_wnaf: for all batch sizes\n");
+ printf("strauss_wnaf: for all batch sizes\n");
+ printf("simple: multiply and sum each point individually\n");
+}
+
typedef struct {
/* Setup once in advance */
secp256k1_context* ctx;
secp256k1_scratch_space* scratch;
secp256k1_scalar* scalars;
secp256k1_ge* pubkeys;
+ secp256k1_gej* pubkeys_gej;
secp256k1_scalar* seckeys;
secp256k1_gej* expected_output;
secp256k1_ecmult_multi_func ecmult_multi;
- /* Changes per test */
+ /* Changes per benchmark */
size_t count;
int includes_g;
- /* Changes per test iteration */
+ /* Changes per benchmark iteration, used to pick different scalars and pubkeys
+ * in each run. */
size_t offset1;
size_t offset2;
- /* Test output. */
+ /* Benchmark output. */
secp256k1_gej* output;
} bench_data;
-static int bench_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, void* arg) {
+/* Hashes x into [0, POINTS) twice and store the result in offset1 and offset2. */
+static void hash_into_offset(bench_data* data, size_t x) {
+ data->offset1 = (x * 0x537b7f6f + 0x8f66a481) % POINTS;
+ data->offset2 = (x * 0x7f6f537b + 0x6a1a8f49) % POINTS;
+}
+
+/* Check correctness of the benchmark by computing
+ * sum(outputs) ?= (sum(scalars_gen) + sum(seckeys)*sum(scalars))*G */
+static void bench_ecmult_teardown_helper(bench_data* data, size_t* seckey_offset, size_t* scalar_offset, size_t* scalar_gen_offset, int iters) {
+ int i;
+ secp256k1_gej sum_output, tmp;
+ secp256k1_scalar sum_scalars;
+
+ secp256k1_gej_set_infinity(&sum_output);
+ secp256k1_scalar_clear(&sum_scalars);
+ for (i = 0; i < iters; ++i) {
+ secp256k1_gej_add_var(&sum_output, &sum_output, &data->output[i], NULL);
+ if (scalar_gen_offset != NULL) {
+ secp256k1_scalar_add(&sum_scalars, &sum_scalars, &data->scalars[(*scalar_gen_offset+i) % POINTS]);
+ }
+ if (seckey_offset != NULL) {
+ secp256k1_scalar s = data->seckeys[(*seckey_offset+i) % POINTS];
+ secp256k1_scalar_mul(&s, &s, &data->scalars[(*scalar_offset+i) % POINTS]);
+ secp256k1_scalar_add(&sum_scalars, &sum_scalars, &s);
+ }
+ }
+ secp256k1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &tmp, &sum_scalars);
+ secp256k1_gej_neg(&tmp, &tmp);
+ secp256k1_gej_add_var(&tmp, &tmp, &sum_output, NULL);
+ CHECK(secp256k1_gej_is_infinity(&tmp));
+}
+
+static void bench_ecmult_setup(void* arg) {
+ bench_data* data = (bench_data*)arg;
+ /* Re-randomize offset to ensure that we're using different scalars and
+ * group elements in each run. */
+ hash_into_offset(data, data->offset1);
+}
+
+static void bench_ecmult_gen(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ int i;
+
+ for (i = 0; i < iters; ++i) {
+ secp256k1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &data->output[i], &data->scalars[(data->offset1+i) % POINTS]);
+ }
+}
+
+static void bench_ecmult_gen_teardown(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters);
+}
+
+static void bench_ecmult_const(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ int i;
+
+ for (i = 0; i < iters; ++i) {
+ secp256k1_ecmult_const(&data->output[i], &data->pubkeys[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], 256);
+ }
+}
+
+static void bench_ecmult_const_teardown(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters);
+}
+
+static void bench_ecmult_1p(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ int i;
+
+ for (i = 0; i < iters; ++i) {
+ secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], NULL);
+ }
+}
+
+static void bench_ecmult_1p_teardown(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters);
+}
+
+static void bench_ecmult_0p_g(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ secp256k1_scalar zero;
+ int i;
+
+ secp256k1_scalar_set_int(&zero, 0);
+ for (i = 0; i < iters; ++i) {
+ secp256k1_ecmult(&data->output[i], NULL, &zero, &data->scalars[(data->offset1+i) % POINTS]);
+ }
+}
+
+static void bench_ecmult_0p_g_teardown(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters);
+}
+
+static void bench_ecmult_1p_g(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ int i;
+
+ for (i = 0; i < iters/2; ++i) {
+ secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], &data->scalars[(data->offset1+i) % POINTS]);
+ }
+}
+
+static void bench_ecmult_1p_g_teardown(void* arg, int iters) {
+ bench_data* data = (bench_data*)arg;
+ bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, &data->offset1, iters/2);
+}
+
+static void run_ecmult_bench(bench_data* data, int iters) {
+ char str[32];
+ sprintf(str, "ecmult_gen");
+ run_benchmark(str, bench_ecmult_gen, bench_ecmult_setup, bench_ecmult_gen_teardown, data, 10, iters);
+ sprintf(str, "ecmult_const");
+ run_benchmark(str, bench_ecmult_const, bench_ecmult_setup, bench_ecmult_const_teardown, data, 10, iters);
+ /* ecmult with non generator point */
+ sprintf(str, "ecmult_1p");
+ run_benchmark(str, bench_ecmult_1p, bench_ecmult_setup, bench_ecmult_1p_teardown, data, 10, iters);
+ /* ecmult with generator point */
+ sprintf(str, "ecmult_0p_g");
+ run_benchmark(str, bench_ecmult_0p_g, bench_ecmult_setup, bench_ecmult_0p_g_teardown, data, 10, iters);
+ /* ecmult with generator and non-generator point. The reported time is per point. */
+ sprintf(str, "ecmult_1p_g");
+ run_benchmark(str, bench_ecmult_1p_g, bench_ecmult_setup, bench_ecmult_1p_g_teardown, data, 10, 2*iters);
+}
+
+static int bench_ecmult_multi_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, void* arg) {
bench_data* data = (bench_data*)arg;
if (data->includes_g) ++idx;
if (idx == 0) {
@@ -54,7 +198,7 @@ static int bench_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, vo
return 1;
}
-static void bench_ecmult(void* arg, int iters) {
+static void bench_ecmult_multi(void* arg, int iters) {
bench_data* data = (bench_data*)arg;
int includes_g = data->includes_g;
@@ -63,19 +207,18 @@ static void bench_ecmult(void* arg, int iters) {
iters = iters / data->count;
for (iter = 0; iter < iters; ++iter) {
- data->ecmult_multi(&data->ctx->error_callback, &data->ctx->ecmult_ctx, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_callback, arg, count - includes_g);
+ data->ecmult_multi(&data->ctx->error_callback, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_ecmult_multi_callback, arg, count - includes_g);
data->offset1 = (data->offset1 + count) % POINTS;
data->offset2 = (data->offset2 + count - 1) % POINTS;
}
}
-static void bench_ecmult_setup(void* arg) {
+static void bench_ecmult_multi_setup(void* arg) {
bench_data* data = (bench_data*)arg;
- data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS;
- data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS;
+ hash_into_offset(data, data->count);
}
-static void bench_ecmult_teardown(void* arg, int iters) {
+static void bench_ecmult_multi_teardown(void* arg, int iters) {
bench_data* data = (bench_data*)arg;
int iter;
iters = iters / data->count;
@@ -89,7 +232,7 @@ static void bench_ecmult_teardown(void* arg, int iters) {
static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) {
secp256k1_sha256 sha256;
- unsigned char c[11] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0};
+ unsigned char c[10] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0};
unsigned char buf[32];
int overflow = 0;
c[6] = num;
@@ -103,7 +246,7 @@ static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) {
CHECK(!overflow);
}
-static void run_test(bench_data* data, size_t count, int includes_g, int num_iters) {
+static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_g, int num_iters) {
char str[32];
static const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
size_t iters = 1 + num_iters / count;
@@ -113,8 +256,7 @@ static void run_test(bench_data* data, size_t count, int includes_g, int num_ite
data->includes_g = includes_g;
/* Compute (the negation of) the expected results directly. */
- data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS;
- data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS;
+ hash_into_offset(data, data->count);
for (iter = 0; iter < iters; ++iter) {
secp256k1_scalar tmp;
secp256k1_scalar total = data->scalars[(data->offset1++) % POINTS];
@@ -124,29 +266,34 @@ static void run_test(bench_data* data, size_t count, int includes_g, int num_ite
secp256k1_scalar_add(&total, &total, &tmp);
}
secp256k1_scalar_negate(&total, &total);
- secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->expected_output[iter], NULL, &zero, &total);
+ secp256k1_ecmult(&data->expected_output[iter], NULL, &zero, &total);
}
/* Run the benchmark. */
- sprintf(str, includes_g ? "ecmult_%ig" : "ecmult_%i", (int)count);
- run_benchmark(str, bench_ecmult, bench_ecmult_setup, bench_ecmult_teardown, data, 10, count * iters);
+ if (includes_g) {
+ sprintf(str, "ecmult_multi_%ip_g", (int)count - 1);
+ } else {
+ sprintf(str, "ecmult_multi_%ip", (int)count);
+ }
+ run_benchmark(str, bench_ecmult_multi, bench_ecmult_multi_setup, bench_ecmult_multi_teardown, data, 10, count * iters);
}
int main(int argc, char **argv) {
bench_data data;
int i, p;
- secp256k1_gej* pubkeys_gej;
size_t scratch_size;
int iters = get_iters(10000);
- data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
- scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16;
- data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size);
data.ecmult_multi = secp256k1_ecmult_multi_var;
if (argc > 1) {
- if(have_flag(argc, argv, "pippenger_wnaf")) {
+ if(have_flag(argc, argv, "-h")
+ || have_flag(argc, argv, "--help")
+ || have_flag(argc, argv, "help")) {
+ help(argv);
+ return 0;
+ } else if(have_flag(argc, argv, "pippenger_wnaf")) {
printf("Using pippenger_wnaf:\n");
data.ecmult_multi = secp256k1_ecmult_pippenger_batch_single;
} else if(have_flag(argc, argv, "strauss_wnaf")) {
@@ -154,39 +301,49 @@ int main(int argc, char **argv) {
data.ecmult_multi = secp256k1_ecmult_strauss_batch_single;
} else if(have_flag(argc, argv, "simple")) {
printf("Using simple algorithm:\n");
- data.ecmult_multi = secp256k1_ecmult_multi_var;
- secp256k1_scratch_space_destroy(data.ctx, data.scratch);
- data.scratch = NULL;
} else {
- fprintf(stderr, "%s: unrecognized argument '%s'.\n", argv[0], argv[1]);
- fprintf(stderr, "Use 'pippenger_wnaf', 'strauss_wnaf', 'simple' or no argument to benchmark a combined algorithm.\n");
+ fprintf(stderr, "%s: unrecognized argument '%s'.\n\n", argv[0], argv[1]);
+ help(argv);
return 1;
}
}
+ data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+ scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16;
+ if (!have_flag(argc, argv, "simple")) {
+ data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size);
+ } else {
+ data.scratch = NULL;
+ }
+
/* Allocate stuff */
data.scalars = malloc(sizeof(secp256k1_scalar) * POINTS);
data.seckeys = malloc(sizeof(secp256k1_scalar) * POINTS);
data.pubkeys = malloc(sizeof(secp256k1_ge) * POINTS);
+ data.pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS);
data.expected_output = malloc(sizeof(secp256k1_gej) * (iters + 1));
data.output = malloc(sizeof(secp256k1_gej) * (iters + 1));
/* Generate a set of scalars, and private/public keypairs. */
- pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS);
- secp256k1_gej_set_ge(&pubkeys_gej[0], &secp256k1_ge_const_g);
+ secp256k1_gej_set_ge(&data.pubkeys_gej[0], &secp256k1_ge_const_g);
secp256k1_scalar_set_int(&data.seckeys[0], 1);
for (i = 0; i < POINTS; ++i) {
generate_scalar(i, &data.scalars[i]);
if (i) {
- secp256k1_gej_double_var(&pubkeys_gej[i], &pubkeys_gej[i - 1], NULL);
+ secp256k1_gej_double_var(&data.pubkeys_gej[i], &data.pubkeys_gej[i - 1], NULL);
secp256k1_scalar_add(&data.seckeys[i], &data.seckeys[i - 1], &data.seckeys[i - 1]);
}
}
- secp256k1_ge_set_all_gej_var(data.pubkeys, pubkeys_gej, POINTS);
- free(pubkeys_gej);
+ secp256k1_ge_set_all_gej_var(data.pubkeys, data.pubkeys_gej, POINTS);
+
+
+ print_output_table_header_row();
+ /* Initialize offset1 and offset2 */
+ hash_into_offset(&data, 0);
+ run_ecmult_bench(&data, iters);
for (i = 1; i <= 8; ++i) {
- run_test(&data, i, 1, iters);
+ run_ecmult_multi_bench(&data, i, 1, iters);
}
/* This is disabled with low count of iterations because the loop runs 77 times even with iters=1
@@ -195,7 +352,7 @@ int main(int argc, char **argv) {
if (iters > 2) {
for (p = 0; p <= 11; ++p) {
for (i = 9; i <= 16; ++i) {
- run_test(&data, i << p, 1, iters);
+ run_ecmult_multi_bench(&data, i << p, 1, iters);
}
}
}
@@ -206,6 +363,7 @@ int main(int argc, char **argv) {
secp256k1_context_destroy(data.ctx);
free(data.scalars);
free(data.pubkeys);
+ free(data.pubkeys_gej);
free(data.seckeys);
free(data.output);
free(data.expected_output);
diff --git a/src/secp256k1/src/bench_internal.c b/src/secp256k1/src/bench_internal.c
index 5f2b7a9759..aed8216127 100644
--- a/src/secp256k1/src/bench_internal.c
+++ b/src/secp256k1/src/bench_internal.c
@@ -1,23 +1,22 @@
-/**********************************************************************
- * Copyright (c) 2014-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#include <stdio.h>
-#include "include/secp256k1.h"
+#include "secp256k1.c"
+#include "../include/secp256k1.h"
#include "assumptions.h"
#include "util.h"
#include "hash_impl.h"
-#include "num_impl.h"
#include "field_impl.h"
#include "group_impl.h"
#include "scalar_impl.h"
#include "ecmult_const_impl.h"
#include "ecmult_impl.h"
#include "bench.h"
-#include "secp256k1.c"
typedef struct {
secp256k1_scalar scalar[2];
@@ -99,15 +98,6 @@ void bench_scalar_negate(void* arg, int iters) {
}
}
-void bench_scalar_sqr(void* arg, int iters) {
- int i;
- bench_inv *data = (bench_inv*)arg;
-
- for (i = 0; i < iters; i++) {
- secp256k1_scalar_sqr(&data->scalar[0], &data->scalar[0]);
- }
-}
-
void bench_scalar_mul(void* arg, int iters) {
int i;
bench_inv *data = (bench_inv*)arg;
@@ -255,26 +245,6 @@ void bench_group_add_affine_var(void* arg, int iters) {
}
}
-void bench_group_jacobi_var(void* arg, int iters) {
- int i, j = 0;
- bench_inv *data = (bench_inv*)arg;
-
- for (i = 0; i < iters; i++) {
- j += secp256k1_gej_has_quad_y_var(&data->gej[0]);
- /* Vary the Y and Z coordinates of the input (the X coordinate doesn't matter to
- secp256k1_gej_has_quad_y_var). Note that the resulting coordinates will
- generally not correspond to a point on the curve, but this is not a problem
- for the code being benchmarked here. Adding and normalizing have less
- overhead than EC operations (which could guarantee the point remains on the
- curve). */
- secp256k1_fe_add(&data->gej[0].y, &data->fe[1]);
- secp256k1_fe_add(&data->gej[0].z, &data->fe[2]);
- secp256k1_fe_normalize_var(&data->gej[0].y);
- secp256k1_fe_normalize_var(&data->gej[0].z);
- }
- CHECK(j <= iters);
-}
-
void bench_group_to_affine_var(void* arg, int iters) {
int i;
bench_inv *data = (bench_inv*)arg;
@@ -282,8 +252,10 @@ void bench_group_to_affine_var(void* arg, int iters) {
for (i = 0; i < iters; ++i) {
secp256k1_ge_set_gej_var(&data->ge[1], &data->gej[0]);
/* Use the output affine X/Y coordinates to vary the input X/Y/Z coordinates.
- Similar to bench_group_jacobi_var, this approach does not result in
- coordinates of points on the curve. */
+ Note that the resulting coordinates will generally not correspond to a point
+ on the curve, but this is not a problem for the code being benchmarked here.
+ Adding and normalizing have less overhead than EC operations (which could
+ guarantee the point remains on the curve). */
secp256k1_fe_add(&data->gej[0].x, &data->ge[1].y);
secp256k1_fe_add(&data->gej[0].y, &data->fe[2]);
secp256k1_fe_add(&data->gej[0].z, &data->ge[1].x);
@@ -369,63 +341,42 @@ void bench_context_sign(void* arg, int iters) {
}
}
-#ifndef USE_NUM_NONE
-void bench_num_jacobi(void* arg, int iters) {
- int i, j = 0;
- bench_inv *data = (bench_inv*)arg;
- secp256k1_num nx, na, norder;
-
- secp256k1_scalar_get_num(&nx, &data->scalar[0]);
- secp256k1_scalar_order_get_num(&norder);
- secp256k1_scalar_get_num(&na, &data->scalar[1]);
-
- for (i = 0; i < iters; i++) {
- j += secp256k1_num_jacobi(&nx, &norder);
- secp256k1_num_add(&nx, &nx, &na);
- }
- CHECK(j <= iters);
-}
-#endif
-
int main(int argc, char **argv) {
bench_inv data;
int iters = get_iters(20000);
+ int d = argc == 1; /* default */
+ print_output_table_header_row();
+
+ if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, iters*100);
+ if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, iters*100);
+ if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "mul")) run_benchmark("scalar_mul", bench_scalar_mul, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "split")) run_benchmark("scalar_split", bench_scalar_split, bench_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse", bench_scalar_inverse, bench_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse_var", bench_scalar_inverse_var, bench_setup, NULL, &data, 10, iters);
+
+ if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize", bench_field_normalize, bench_setup, NULL, &data, 10, iters*100);
+ if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize_weak", bench_field_normalize_weak, bench_setup, NULL, &data, 10, iters*100);
+ if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "sqr")) run_benchmark("field_sqr", bench_field_sqr, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, iters);
+
+ if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, iters*10);
+ if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "to_affine")) run_benchmark("group_to_affine_var", bench_group_to_affine_var, bench_setup, NULL, &data, 10, iters);
+
+ if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, iters);
+
+ if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, iters);
+
+ if (d || have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 1 + iters/1000);
+ if (d || have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 1 + iters/100);
- if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, iters*100);
- if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, iters*100);
- if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "sqr")) run_benchmark("scalar_sqr", bench_scalar_sqr, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "mul")) run_benchmark("scalar_mul", bench_scalar_mul, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "split")) run_benchmark("scalar_split", bench_scalar_split, bench_setup, NULL, &data, 10, iters);
- if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse", bench_scalar_inverse, bench_setup, NULL, &data, 10, 2000);
- if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse_var", bench_scalar_inverse_var, bench_setup, NULL, &data, 10, 2000);
-
- if (have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize", bench_field_normalize, bench_setup, NULL, &data, 10, iters*100);
- if (have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize_weak", bench_field_normalize_weak, bench_setup, NULL, &data, 10, iters*100);
- if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqr")) run_benchmark("field_sqr", bench_field_sqr, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, iters);
- if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, iters);
- if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, iters);
-
- if (have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, iters*10);
- if (have_flag(argc, argv, "group") || have_flag(argc, argv, "jacobi")) run_benchmark("group_jacobi_var", bench_group_jacobi_var, bench_setup, NULL, &data, 10, iters);
- if (have_flag(argc, argv, "group") || have_flag(argc, argv, "to_affine")) run_benchmark("group_to_affine_var", bench_group_to_affine_var, bench_setup, NULL, &data, 10, iters);
-
- if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, iters);
- if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, iters);
-
- if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, iters);
- if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, iters);
- if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, iters);
-
- if (have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 1 + iters/1000);
- if (have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 1 + iters/100);
-
-#ifndef USE_NUM_NONE
- if (have_flag(argc, argv, "num") || have_flag(argc, argv, "jacobi")) run_benchmark("num_jacobi", bench_num_jacobi, bench_setup, NULL, &data, 10, iters*10);
-#endif
return 0;
}
diff --git a/src/secp256k1/src/bench_sign.c b/src/secp256k1/src/bench_sign.c
deleted file mode 100644
index c6b2942cc0..0000000000
--- a/src/secp256k1/src/bench_sign.c
+++ /dev/null
@@ -1,58 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#include "include/secp256k1.h"
-#include "util.h"
-#include "bench.h"
-
-typedef struct {
- secp256k1_context* ctx;
- unsigned char msg[32];
- unsigned char key[32];
-} bench_sign;
-
-static void bench_sign_setup(void* arg) {
- int i;
- bench_sign *data = (bench_sign*)arg;
-
- for (i = 0; i < 32; i++) {
- data->msg[i] = i + 1;
- }
- for (i = 0; i < 32; i++) {
- data->key[i] = i + 65;
- }
-}
-
-static void bench_sign_run(void* arg, int iters) {
- int i;
- bench_sign *data = (bench_sign*)arg;
-
- unsigned char sig[74];
- for (i = 0; i < iters; i++) {
- size_t siglen = 74;
- int j;
- secp256k1_ecdsa_signature signature;
- CHECK(secp256k1_ecdsa_sign(data->ctx, &signature, data->msg, data->key, NULL, NULL));
- CHECK(secp256k1_ecdsa_signature_serialize_der(data->ctx, sig, &siglen, &signature));
- for (j = 0; j < 32; j++) {
- data->msg[j] = sig[j];
- data->key[j] = sig[j + 32];
- }
- }
-}
-
-int main(void) {
- bench_sign data;
-
- int iters = get_iters(20000);
-
- data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
-
- run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, iters);
-
- secp256k1_context_destroy(data.ctx);
- return 0;
-}
diff --git a/src/secp256k1/src/bench_verify.c b/src/secp256k1/src/bench_verify.c
deleted file mode 100644
index 272d3e5cc4..0000000000
--- a/src/secp256k1/src/bench_verify.c
+++ /dev/null
@@ -1,115 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#include <stdio.h>
-#include <string.h>
-
-#include "include/secp256k1.h"
-#include "util.h"
-#include "bench.h"
-
-#ifdef ENABLE_OPENSSL_TESTS
-#include <openssl/bn.h>
-#include <openssl/ecdsa.h>
-#include <openssl/obj_mac.h>
-#endif
-
-
-typedef struct {
- secp256k1_context *ctx;
- unsigned char msg[32];
- unsigned char key[32];
- unsigned char sig[72];
- size_t siglen;
- unsigned char pubkey[33];
- size_t pubkeylen;
-#ifdef ENABLE_OPENSSL_TESTS
- EC_GROUP* ec_group;
-#endif
-} benchmark_verify_t;
-
-static void benchmark_verify(void* arg, int iters) {
- int i;
- benchmark_verify_t* data = (benchmark_verify_t*)arg;
-
- for (i = 0; i < iters; i++) {
- secp256k1_pubkey pubkey;
- secp256k1_ecdsa_signature sig;
- data->sig[data->siglen - 1] ^= (i & 0xFF);
- data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
- data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
- CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1);
- CHECK(secp256k1_ecdsa_signature_parse_der(data->ctx, &sig, data->sig, data->siglen) == 1);
- CHECK(secp256k1_ecdsa_verify(data->ctx, &sig, data->msg, &pubkey) == (i == 0));
- data->sig[data->siglen - 1] ^= (i & 0xFF);
- data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
- data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
- }
-}
-
-#ifdef ENABLE_OPENSSL_TESTS
-static void benchmark_verify_openssl(void* arg, int iters) {
- int i;
- benchmark_verify_t* data = (benchmark_verify_t*)arg;
-
- for (i = 0; i < iters; i++) {
- data->sig[data->siglen - 1] ^= (i & 0xFF);
- data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
- data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
- {
- EC_KEY *pkey = EC_KEY_new();
- const unsigned char *pubkey = &data->pubkey[0];
- int result;
-
- CHECK(pkey != NULL);
- result = EC_KEY_set_group(pkey, data->ec_group);
- CHECK(result);
- result = (o2i_ECPublicKey(&pkey, &pubkey, data->pubkeylen)) != NULL;
- CHECK(result);
- result = ECDSA_verify(0, &data->msg[0], sizeof(data->msg), &data->sig[0], data->siglen, pkey) == (i == 0);
- CHECK(result);
- EC_KEY_free(pkey);
- }
- data->sig[data->siglen - 1] ^= (i & 0xFF);
- data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
- data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
- }
-}
-#endif
-
-int main(void) {
- int i;
- secp256k1_pubkey pubkey;
- secp256k1_ecdsa_signature sig;
- benchmark_verify_t data;
-
- int iters = get_iters(20000);
-
- data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-
- for (i = 0; i < 32; i++) {
- data.msg[i] = 1 + i;
- }
- for (i = 0; i < 32; i++) {
- data.key[i] = 33 + i;
- }
- data.siglen = 72;
- CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL));
- CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig));
- CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key));
- data.pubkeylen = 33;
- CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
-
- run_benchmark("ecdsa_verify", benchmark_verify, NULL, NULL, &data, 10, iters);
-#ifdef ENABLE_OPENSSL_TESTS
- data.ec_group = EC_GROUP_new_by_curve_name(NID_secp256k1);
- run_benchmark("ecdsa_verify_openssl", benchmark_verify_openssl, NULL, NULL, &data, 10, iters);
- EC_GROUP_free(data.ec_group);
-#endif
-
- secp256k1_context_destroy(data.ctx);
- return 0;
-}
diff --git a/src/secp256k1/src/ecdsa.h b/src/secp256k1/src/ecdsa.h
index 80590c7cc8..4441b08398 100644
--- a/src/secp256k1/src/ecdsa.h
+++ b/src/secp256k1/src/ecdsa.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECDSA_H
#define SECP256K1_ECDSA_H
@@ -15,7 +15,7 @@
static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *r, secp256k1_scalar *s, const unsigned char *sig, size_t size);
static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const secp256k1_scalar *r, const secp256k1_scalar *s);
-static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message);
+static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message);
static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid);
#endif /* SECP256K1_ECDSA_H */
diff --git a/src/secp256k1/src/ecdsa_impl.h b/src/secp256k1/src/ecdsa_impl.h
index 5f54b59faa..90b4b22b77 100644
--- a/src/secp256k1/src/ecdsa_impl.h
+++ b/src/secp256k1/src/ecdsa_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECDSA_IMPL_H
@@ -112,7 +112,7 @@ static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char
if (secp256k1_der_read_len(&rlen, sig, sigend) == 0) {
return 0;
}
- if (rlen == 0 || *sig + rlen > sigend) {
+ if (rlen == 0 || rlen > (size_t)(sigend - *sig)) {
/* Exceeds bounds or not at least length 1 (X.690-0207 8.3.1). */
return 0;
}
@@ -140,7 +140,7 @@ static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char
overflow = 1;
}
if (!overflow) {
- memcpy(ra + 32 - rlen, *sig, rlen);
+ if (rlen) memcpy(ra + 32 - rlen, *sig, rlen);
secp256k1_scalar_set_b32(r, ra, &overflow);
}
if (overflow) {
@@ -204,7 +204,7 @@ static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const
return 1;
}
-static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) {
+static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) {
unsigned char c[32];
secp256k1_scalar sn, u1, u2;
#if !defined(EXHAUSTIVE_TEST_ORDER)
@@ -221,7 +221,7 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const
secp256k1_scalar_mul(&u1, &sn, message);
secp256k1_scalar_mul(&u2, &sn, sigr);
secp256k1_gej_set_ge(&pubkeyj, pubkey);
- secp256k1_ecmult(ctx, &pr, &pubkeyj, &u2, &u1);
+ secp256k1_ecmult(&pr, &pubkeyj, &u2, &u1);
if (secp256k1_gej_is_infinity(&pr)) {
return 0;
}
@@ -304,12 +304,12 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec
high = secp256k1_scalar_is_high(sigs);
secp256k1_scalar_cond_negate(sigs, high);
if (recid) {
- *recid ^= high;
+ *recid ^= high;
}
/* P.x = order is on the curve, so technically sig->r could end up being zero, which would be an invalid signature.
* This is cryptographically unreachable as hitting it requires finding the discrete log of P.x = N.
*/
- return !secp256k1_scalar_is_zero(sigr) & !secp256k1_scalar_is_zero(sigs);
+ return (int)(!secp256k1_scalar_is_zero(sigr)) & (int)(!secp256k1_scalar_is_zero(sigs));
}
#endif /* SECP256K1_ECDSA_IMPL_H */
diff --git a/src/secp256k1/src/eckey.h b/src/secp256k1/src/eckey.h
index b621f1e6c3..d54d44c997 100644
--- a/src/secp256k1/src/eckey.h
+++ b/src/secp256k1/src/eckey.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECKEY_H
#define SECP256K1_ECKEY_H
@@ -18,8 +18,8 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char
static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed);
static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak);
-static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak);
+static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak);
static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak);
-static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak);
+static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak);
#endif /* SECP256K1_ECKEY_H */
diff --git a/src/secp256k1/src/eckey_impl.h b/src/secp256k1/src/eckey_impl.h
index e2e72d9303..e0506d3e2b 100644
--- a/src/secp256k1/src/eckey_impl.h
+++ b/src/secp256k1/src/eckey_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECKEY_IMPL_H
#define SECP256K1_ECKEY_IMPL_H
@@ -57,12 +57,12 @@ static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp25
return !secp256k1_scalar_is_zero(key);
}
-static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) {
+static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak) {
secp256k1_gej pt;
secp256k1_scalar one;
secp256k1_gej_set_ge(&pt, key);
secp256k1_scalar_set_int(&one, 1);
- secp256k1_ecmult(ctx, &pt, &pt, &one, tweak);
+ secp256k1_ecmult(&pt, &pt, &one, tweak);
if (secp256k1_gej_is_infinity(&pt)) {
return 0;
@@ -79,7 +79,7 @@ static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp25
return ret;
}
-static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) {
+static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak) {
secp256k1_scalar zero;
secp256k1_gej pt;
if (secp256k1_scalar_is_zero(tweak)) {
@@ -88,7 +88,7 @@ static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx,
secp256k1_scalar_set_int(&zero, 0);
secp256k1_gej_set_ge(&pt, key);
- secp256k1_ecmult(ctx, &pt, &pt, tweak, &zero);
+ secp256k1_ecmult(&pt, &pt, tweak, &zero);
secp256k1_ge_set_gej(key, &pt);
return 1;
}
diff --git a/src/secp256k1/src/ecmult.h b/src/secp256k1/src/ecmult.h
index 09e8146414..b47d8f494a 100644
--- a/src/secp256k1/src/ecmult.h
+++ b/src/secp256k1/src/ecmult.h
@@ -1,32 +1,36 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECMULT_H
#define SECP256K1_ECMULT_H
-#include "num.h"
#include "group.h"
#include "scalar.h"
#include "scratch.h"
-typedef struct {
- /* For accelerating the computation of a*P + b*G: */
- secp256k1_ge_storage (*pre_g)[]; /* odd multiples of the generator */
- secp256k1_ge_storage (*pre_g_128)[]; /* odd multiples of 2^128*generator */
-} secp256k1_ecmult_context;
+/* Noone will ever need more than a window size of 24. The code might
+ * be correct for larger values of ECMULT_WINDOW_SIZE but this is not
+ * tested.
+ *
+ * The following limitations are known, and there are probably more:
+ * If WINDOW_G > 27 and size_t has 32 bits, then the code is incorrect
+ * because the size of the memory object that we allocate (in bytes)
+ * will not fit in a size_t.
+ * If WINDOW_G > 31 and int has 32 bits, then the code is incorrect
+ * because certain expressions will overflow.
+ */
+#if ECMULT_WINDOW_SIZE < 2 || ECMULT_WINDOW_SIZE > 24
+# error Set ECMULT_WINDOW_SIZE to an integer in range [2..24].
+#endif
-static const size_t SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE;
-static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx);
-static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, void **prealloc);
-static void secp256k1_ecmult_context_finalize_memcpy(secp256k1_ecmult_context *dst, const secp256k1_ecmult_context *src);
-static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx);
-static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx);
+/** The number of entries a table with precomputed multiples needs to have. */
+#define ECMULT_TABLE_SIZE(w) (1L << ((w)-2))
/** Double multiply: R = na*A + ng*G */
-static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng);
+static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng);
typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data);
@@ -41,6 +45,6 @@ typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge
* 0 if there is not enough scratch space for a single point or
* callback returns 0
*/
-static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n);
+static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n);
#endif /* SECP256K1_ECMULT_H */
diff --git a/src/secp256k1/src/ecmult_const.h b/src/secp256k1/src/ecmult_const.h
index 03bb33257d..f891f3f306 100644
--- a/src/secp256k1/src/ecmult_const.h
+++ b/src/secp256k1/src/ecmult_const.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECMULT_CONST_H
#define SECP256K1_ECMULT_CONST_H
@@ -14,6 +14,7 @@
* Multiply: R = q*A (in constant-time)
* Here `bits` should be set to the maximum bitlength of the _absolute value_ of `q`, plus
* one because we internally sometimes add 2 to the number during the WNAF conversion.
+ * A must not be infinity.
*/
static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q, int bits);
diff --git a/src/secp256k1/src/ecmult_const_impl.h b/src/secp256k1/src/ecmult_const_impl.h
index bb9511108b..30b151ff9a 100644
--- a/src/secp256k1/src/ecmult_const_impl.h
+++ b/src/secp256k1/src/ecmult_const_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECMULT_CONST_IMPL_H
#define SECP256K1_ECMULT_CONST_IMPL_H
@@ -168,6 +168,7 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
* that the Z coordinate was 1, use affine addition formulae, and correct
* the Z coordinate of the result once at the end.
*/
+ VERIFY_CHECK(!a->infinity);
secp256k1_gej_set_ge(r, a);
secp256k1_ecmult_odd_multiples_table_globalz_windowa(pre_a, &Z, r);
for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) {
diff --git a/src/secp256k1/src/ecmult_gen.h b/src/secp256k1/src/ecmult_gen.h
index 30815e5aa1..f48f266461 100644
--- a/src/secp256k1/src/ecmult_gen.h
+++ b/src/secp256k1/src/ecmult_gen.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECMULT_GEN_H
#define SECP256K1_ECMULT_GEN_H
@@ -13,34 +13,20 @@
#if ECMULT_GEN_PREC_BITS != 2 && ECMULT_GEN_PREC_BITS != 4 && ECMULT_GEN_PREC_BITS != 8
# error "Set ECMULT_GEN_PREC_BITS to 2, 4 or 8."
#endif
-#define ECMULT_GEN_PREC_B ECMULT_GEN_PREC_BITS
-#define ECMULT_GEN_PREC_G (1 << ECMULT_GEN_PREC_B)
-#define ECMULT_GEN_PREC_N (256 / ECMULT_GEN_PREC_B)
+#define ECMULT_GEN_PREC_G(bits) (1 << bits)
+#define ECMULT_GEN_PREC_N(bits) (256 / bits)
typedef struct {
- /* For accelerating the computation of a*G:
- * To harden against timing attacks, use the following mechanism:
- * * Break up the multiplicand into groups of PREC_B bits, called n_0, n_1, n_2, ..., n_(PREC_N-1).
- * * Compute sum(n_i * (PREC_G)^i * G + U_i, i=0 ... PREC_N-1), where:
- * * U_i = U * 2^i, for i=0 ... PREC_N-2
- * * U_i = U * (1-2^(PREC_N-1)), for i=PREC_N-1
- * where U is a point with no known corresponding scalar. Note that sum(U_i, i=0 ... PREC_N-1) = 0.
- * For each i, and each of the PREC_G possible values of n_i, (n_i * (PREC_G)^i * G + U_i) is
- * precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0 ... PREC_N-1).
- * None of the resulting prec group elements have a known scalar, and neither do any of
- * the intermediate sums while computing a*G.
- */
- secp256k1_ge_storage (*prec)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G]; /* prec[j][i] = (PREC_G)^j * i * G + U_i */
- secp256k1_scalar blind;
- secp256k1_gej initial;
+ /* Whether the context has been built. */
+ int built;
+
+ /* Blinding values used when computing (n-b)G + bG. */
+ secp256k1_scalar blind; /* -b */
+ secp256k1_gej initial; /* bG */
} secp256k1_ecmult_gen_context;
-static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
-static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context* ctx);
-static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx, void **prealloc);
-static void secp256k1_ecmult_gen_context_finalize_memcpy(secp256k1_ecmult_gen_context *dst, const secp256k1_ecmult_gen_context* src);
+static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx);
static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context* ctx);
-static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx);
/** Multiply with the generator: R = a*G */
static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context* ctx, secp256k1_gej *r, const secp256k1_scalar *a);
diff --git a/src/secp256k1/src/ecmult_gen_impl.h b/src/secp256k1/src/ecmult_gen_impl.h
index 30ac16518b..6a6ab9a4b5 100644
--- a/src/secp256k1/src/ecmult_gen_impl.h
+++ b/src/secp256k1/src/ecmult_gen_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_ECMULT_GEN_IMPL_H
#define SECP256K1_ECMULT_GEN_IMPL_H
@@ -12,130 +12,54 @@
#include "group.h"
#include "ecmult_gen.h"
#include "hash_impl.h"
-#ifdef USE_ECMULT_STATIC_PRECOMPUTATION
-#include "ecmult_static_context.h"
-#endif
+#include "ecmult_gen_static_prec_table.h"
-#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
- static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = ROUND_TO_ALIGN(sizeof(*((secp256k1_ecmult_gen_context*) NULL)->prec));
-#else
- static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = 0;
-#endif
-
-static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context *ctx) {
- ctx->prec = NULL;
-}
-
-static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx, void **prealloc) {
-#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
- secp256k1_ge prec[ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G];
- secp256k1_gej gj;
- secp256k1_gej nums_gej;
- int i, j;
- size_t const prealloc_size = SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
- void* const base = *prealloc;
-#endif
-
- if (ctx->prec != NULL) {
- return;
- }
-#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
- ctx->prec = (secp256k1_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])manual_alloc(prealloc, prealloc_size, base, prealloc_size);
-
- /* get the generator */
- secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g);
-
- /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */
- {
- static const unsigned char nums_b32[33] = "The scalar for this x is unknown";
- secp256k1_fe nums_x;
- secp256k1_ge nums_ge;
- int r;
- r = secp256k1_fe_set_b32(&nums_x, nums_b32);
- (void)r;
- VERIFY_CHECK(r);
- r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0);
- (void)r;
- VERIFY_CHECK(r);
- secp256k1_gej_set_ge(&nums_gej, &nums_ge);
- /* Add G to make the bits in x uniformly distributed. */
- secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, &secp256k1_ge_const_g, NULL);
- }
-
- /* compute prec. */
- {
- secp256k1_gej precj[ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G]; /* Jacobian versions of prec. */
- secp256k1_gej gbase;
- secp256k1_gej numsbase;
- gbase = gj; /* PREC_G^j * G */
- numsbase = nums_gej; /* 2^j * nums. */
- for (j = 0; j < ECMULT_GEN_PREC_N; j++) {
- /* Set precj[j*PREC_G .. j*PREC_G+(PREC_G-1)] to (numsbase, numsbase + gbase, ..., numsbase + (PREC_G-1)*gbase). */
- precj[j*ECMULT_GEN_PREC_G] = numsbase;
- for (i = 1; i < ECMULT_GEN_PREC_G; i++) {
- secp256k1_gej_add_var(&precj[j*ECMULT_GEN_PREC_G + i], &precj[j*ECMULT_GEN_PREC_G + i - 1], &gbase, NULL);
- }
- /* Multiply gbase by PREC_G. */
- for (i = 0; i < ECMULT_GEN_PREC_B; i++) {
- secp256k1_gej_double_var(&gbase, &gbase, NULL);
- }
- /* Multiply numbase by 2. */
- secp256k1_gej_double_var(&numsbase, &numsbase, NULL);
- if (j == ECMULT_GEN_PREC_N - 2) {
- /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */
- secp256k1_gej_neg(&numsbase, &numsbase);
- secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL);
- }
- }
- secp256k1_ge_set_all_gej_var(prec, precj, ECMULT_GEN_PREC_N * ECMULT_GEN_PREC_G);
- }
- for (j = 0; j < ECMULT_GEN_PREC_N; j++) {
- for (i = 0; i < ECMULT_GEN_PREC_G; i++) {
- secp256k1_ge_to_storage(&(*ctx->prec)[j][i], &prec[j*ECMULT_GEN_PREC_G + i]);
- }
- }
-#else
- (void)prealloc;
- ctx->prec = (secp256k1_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])secp256k1_ecmult_static_context;
-#endif
+static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx) {
secp256k1_ecmult_gen_blind(ctx, NULL);
+ ctx->built = 1;
}
static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx) {
- return ctx->prec != NULL;
-}
-
-static void secp256k1_ecmult_gen_context_finalize_memcpy(secp256k1_ecmult_gen_context *dst, const secp256k1_ecmult_gen_context *src) {
-#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
- if (src->prec != NULL) {
- /* We cast to void* first to suppress a -Wcast-align warning. */
- dst->prec = (secp256k1_ge_storage (*)[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G])(void*)((unsigned char*)dst + ((unsigned char*)src->prec - (unsigned char*)src));
- }
-#else
- (void)dst, (void)src;
-#endif
+ return ctx->built;
}
static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context *ctx) {
+ ctx->built = 0;
secp256k1_scalar_clear(&ctx->blind);
secp256k1_gej_clear(&ctx->initial);
- ctx->prec = NULL;
}
+/* For accelerating the computation of a*G:
+ * To harden against timing attacks, use the following mechanism:
+ * * Break up the multiplicand into groups of PREC_BITS bits, called n_0, n_1, n_2, ..., n_(PREC_N-1).
+ * * Compute sum(n_i * (PREC_G)^i * G + U_i, i=0 ... PREC_N-1), where:
+ * * U_i = U * 2^i, for i=0 ... PREC_N-2
+ * * U_i = U * (1-2^(PREC_N-1)), for i=PREC_N-1
+ * where U is a point with no known corresponding scalar. Note that sum(U_i, i=0 ... PREC_N-1) = 0.
+ * For each i, and each of the PREC_G possible values of n_i, (n_i * (PREC_G)^i * G + U_i) is
+ * precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0 ... PREC_N-1).
+ * None of the resulting prec group elements have a known scalar, and neither do any of
+ * the intermediate sums while computing a*G.
+ * The prec values are stored in secp256k1_ecmult_gen_prec_table[i][n_i] = n_i * (PREC_G)^i * G + U_i.
+ */
static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp256k1_gej *r, const secp256k1_scalar *gn) {
+ int bits = ECMULT_GEN_PREC_BITS;
+ int g = ECMULT_GEN_PREC_G(bits);
+ int n = ECMULT_GEN_PREC_N(bits);
+
secp256k1_ge add;
secp256k1_ge_storage adds;
secp256k1_scalar gnb;
- int bits;
- int i, j;
+ int i, j, n_i;
+
memset(&adds, 0, sizeof(adds));
*r = ctx->initial;
/* Blind scalar/point multiplication by computing (n-b)G + bG instead of nG. */
secp256k1_scalar_add(&gnb, gn, &ctx->blind);
add.infinity = 0;
- for (j = 0; j < ECMULT_GEN_PREC_N; j++) {
- bits = secp256k1_scalar_get_bits(&gnb, j * ECMULT_GEN_PREC_B, ECMULT_GEN_PREC_B);
- for (i = 0; i < ECMULT_GEN_PREC_G; i++) {
+ for (i = 0; i < n; i++) {
+ n_i = secp256k1_scalar_get_bits(&gnb, i * bits, bits);
+ for (j = 0; j < g; j++) {
/** This uses a conditional move to avoid any secret data in array indexes.
* _Any_ use of secret indexes has been demonstrated to result in timing
* sidechannels, even when the cache-line access patterns are uniform.
@@ -144,14 +68,14 @@ static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp25
* (https://cryptojedi.org/peter/data/chesrump-20130822.pdf) and
* "Cache Attacks and Countermeasures: the Case of AES", RSA 2006,
* by Dag Arne Osvik, Adi Shamir, and Eran Tromer
- * (http://www.tau.ac.il/~tromer/papers/cache.pdf)
+ * (https://www.tau.ac.il/~tromer/papers/cache.pdf)
*/
- secp256k1_ge_storage_cmov(&adds, &(*ctx->prec)[j][i], i == bits);
+ secp256k1_ge_storage_cmov(&adds, &secp256k1_ecmult_gen_prec_table[i][j], j == n_i);
}
secp256k1_ge_from_storage(&add, &adds);
secp256k1_gej_add_ge(r, r, &add);
}
- bits = 0;
+ n_i = 0;
secp256k1_ge_clear(&add);
secp256k1_scalar_clear(&gnb);
}
diff --git a/src/secp256k1/src/ecmult_gen_prec.h b/src/secp256k1/src/ecmult_gen_prec.h
new file mode 100644
index 0000000000..0cfcde9b79
--- /dev/null
+++ b/src/secp256k1/src/ecmult_gen_prec.h
@@ -0,0 +1,14 @@
+/***********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_ECMULT_GEN_PREC_H
+#define SECP256K1_ECMULT_GEN_PREC_H
+
+#include "ecmult_gen.h"
+
+static void secp256k1_ecmult_gen_create_prec_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int bits);
+
+#endif /* SECP256K1_ECMULT_GEN_PREC_H */
diff --git a/src/secp256k1/src/ecmult_gen_prec_impl.h b/src/secp256k1/src/ecmult_gen_prec_impl.h
new file mode 100644
index 0000000000..bac76c8b13
--- /dev/null
+++ b/src/secp256k1/src/ecmult_gen_prec_impl.h
@@ -0,0 +1,81 @@
+/***********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_ECMULT_GEN_PREC_IMPL_H
+#define SECP256K1_ECMULT_GEN_PREC_IMPL_H
+
+#include "ecmult_gen_prec.h"
+#include "group_impl.h"
+#include "field_impl.h"
+#include "ecmult_gen.h"
+#include "util.h"
+
+static void secp256k1_ecmult_gen_create_prec_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int bits) {
+ int g = ECMULT_GEN_PREC_G(bits);
+ int n = ECMULT_GEN_PREC_N(bits);
+
+ secp256k1_ge* prec = checked_malloc(&default_error_callback, n * g * sizeof(*prec));
+ secp256k1_gej gj;
+ secp256k1_gej nums_gej;
+ int i, j;
+
+ /* get the generator */
+ secp256k1_gej_set_ge(&gj, gen);
+
+ /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */
+ {
+ static const unsigned char nums_b32[33] = "The scalar for this x is unknown";
+ secp256k1_fe nums_x;
+ secp256k1_ge nums_ge;
+ int r;
+ r = secp256k1_fe_set_b32(&nums_x, nums_b32);
+ (void)r;
+ VERIFY_CHECK(r);
+ r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0);
+ (void)r;
+ VERIFY_CHECK(r);
+ secp256k1_gej_set_ge(&nums_gej, &nums_ge);
+ /* Add G to make the bits in x uniformly distributed. */
+ secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, gen, NULL);
+ }
+
+ /* compute prec. */
+ {
+ secp256k1_gej gbase;
+ secp256k1_gej numsbase;
+ secp256k1_gej* precj = checked_malloc(&default_error_callback, n * g * sizeof(*precj)); /* Jacobian versions of prec. */
+ gbase = gj; /* PREC_G^j * G */
+ numsbase = nums_gej; /* 2^j * nums. */
+ for (j = 0; j < n; j++) {
+ /* Set precj[j*PREC_G .. j*PREC_G+(PREC_G-1)] to (numsbase, numsbase + gbase, ..., numsbase + (PREC_G-1)*gbase). */
+ precj[j*g] = numsbase;
+ for (i = 1; i < g; i++) {
+ secp256k1_gej_add_var(&precj[j*g + i], &precj[j*g + i - 1], &gbase, NULL);
+ }
+ /* Multiply gbase by PREC_G. */
+ for (i = 0; i < bits; i++) {
+ secp256k1_gej_double_var(&gbase, &gbase, NULL);
+ }
+ /* Multiply numbase by 2. */
+ secp256k1_gej_double_var(&numsbase, &numsbase, NULL);
+ if (j == n - 2) {
+ /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */
+ secp256k1_gej_neg(&numsbase, &numsbase);
+ secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL);
+ }
+ }
+ secp256k1_ge_set_all_gej_var(prec, precj, n * g);
+ free(precj);
+ }
+ for (j = 0; j < n; j++) {
+ for (i = 0; i < g; i++) {
+ secp256k1_ge_to_storage(&table[j*g + i], &prec[j*g + i]);
+ }
+ }
+ free(prec);
+}
+
+#endif /* SECP256K1_ECMULT_GEN_PREC_IMPL_H */
diff --git a/src/secp256k1/src/ecmult_gen_static_prec_table.h b/src/secp256k1/src/ecmult_gen_static_prec_table.h
new file mode 100644
index 0000000000..bf4e5ea248
--- /dev/null
+++ b/src/secp256k1/src/ecmult_gen_static_prec_table.h
@@ -0,0 +1,9748 @@
+/* This file was automatically generated by gen_ecmult_gen_static_prec_table. */
+/* See ecmult_gen_impl.h for details about the contents of this file. */
+#ifndef SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H
+#define SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H
+#include "group.h"
+#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)
+#ifdef EXHAUSTIVE_TEST_ORDER
+static secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)];
+#else
+static const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)] = {
+#if ECMULT_GEN_PREC_BITS == 2
+{S(3a9ed373,6eed3eec,9aeb5ac0,21b54652,56817b1f,8de6cd0,fbcee548,ba044bb5,7bcc5928,bdc9c023,dfc663b8,9e4f6969,ab751798,8e600ec1,d242010c,45c7974a),
+S(e44d7675,c3cb2857,4e133c01,a74f4afc,5ce684f8,4a789711,603f7c4f,50abef58,25bcb62f,fe2e2ce2,196ad86c,a006e20,8c64d21b,b25320a3,b5574b9c,1e1bfb4b),
+S(6ada98a4,8118166f,e7082591,d6cda51e,914b60b1,49696270,3350249b,ee8d4770,c234dfad,f3847877,a0a7bcda,112dba85,1cdddf00,84d0c07,df1d1a,a3ec3aeb),
+S(a94ae8,63264dfb,b910ea95,4ce9ca7e,4f86f92d,9f3a95d1,ed61552a,7a3f5743,7f53f7f1,6ad2d08f,15e73314,6d80467,41557acf,19556c0f,ed7117ce,37040823)},
+{S(1b8462eb,1ccdf7b2,b8372f2f,cec1f479,ab07c09f,cb26d6c3,965ec73,4d654f81,62f6755,b4a7891d,55de6427,fbc37d33,e4eea418,a2c04392,a3d11807,ccc9025),
+S(c3b55f99,9cd9113c,fcb4f29,be00c785,cc70d1c1,f1cfd0ed,593abe8d,260bd2bb,8945790b,5696225a,1c6a1f45,1d6b085e,cde2f332,df068271,f6279877,6d1015aa),
+S(a4b41b41,1a255142,ee62144d,96ccfdc,a3cdf5a6,af32bdd8,d1c3d26b,d6aab0b9,3ade7f6a,299ee56c,299fcaad,72a146d2,62db1dcd,2ea1a355,d6e00294,ee34c3),
+S(d4af67c6,75f97f30,4a621fe5,343dfa5b,e432d9f1,43758d4d,62df1e09,b79abfe8,d0fea700,2a851a85,33929e5f,1f41d4a9,68b9e520,6c19f3b0,35ce96a5,12b61921)},
+{S(6ae991de,18418b49,160194f,a735eb72,c299b987,1981a4f9,aa717ad2,bcdcf13,7ee8011a,40f384f2,e50add2d,97005173,2787cc7c,89dafb66,301bc94d,24b913f),
+S(c28203a6,e0f93259,778bddca,10f994be,67cec8a3,109d0001,d830a8e7,b452794b,18df3a42,ec24b713,2ac4b6ec,dd7605e4,169aa07a,41d7559e,bde808d9,bbfbcb14),
+S(4848adb6,b0350cd7,b745b603,cff69deb,8be10519,cc02881c,4b980157,5635aa37,7a814076,187ed7b9,84d0be65,b2f83b90,325441cf,54325183,beb01136,d626ca5c),
+S(515d497f,f274da3d,9bb9e4f7,e1b77e8a,af859d52,be7c7e93,f197267,d73ce5ae,da648754,a5ed476,3fad55e1,e93f9687,2d1fe961,b448b9bf,2c42c885,b44678f0)},
+{S(64850a04,76870a44,2cfa57e0,4e4707f7,eccc5e99,12dbcb07,3b457317,717f5686,7c5facd2,91a6defb,a1837cb9,3bcbd0f5,bc37572e,68ccb2a0,c062a155,46656fcc),
+S(c3ae412c,a3e5f22b,44863ab1,b5e64719,99078ac0,d5844d9,6a37899f,3e064475,e491d89e,b38b0443,50d96e01,7baceb35,fa0e247,8c982d25,5a2a332c,239e0a54),
+S(e72c3804,a774f3db,42348883,297b5035,c9dd3970,7e3bc60d,1e51e41,d7d8e395,e3cb5abb,c3c259ab,2c9e5,fa059c10,fe6f633b,4f99da29,61b9117e,61fbb457),
+S(6a7b9de1,8d16a0e2,1b30cb61,3586ebc6,78b60618,e2b45e2d,8c94ad09,36227f74,ac1fb735,266d34,eb995f8f,91cbc339,f63b6e6,bd4c89f0,d7607908,75a4918f)},
+{S(92133195,a4fd0c59,7e0cf65e,8ce1d939,e333f7a8,441523aa,31e339e1,2ae51e8d,556a388,7a7d579e,87de7f49,8c54bf24,2ca4b8a2,8b959e21,ceec4555,b8fabccf),
+S(1b3ee78b,df5cbab,a7649125,40852351,602bb558,e4bea533,dbb08eb0,299ae994,9a0c2165,5512777f,fac5ed54,b8e5b4ce,d7a6b17d,643f8c3d,d0173a96,3a4c7aa),
+S(6be3de2d,1ceb66ac,1ecd3435,3f241a89,cdaf48f4,a8d5522a,1d6f0083,3c4b2a39,88e10da0,e53b8f5a,ada0db7e,e1ce75c2,8898d5e,156e777f,7acc3ba0,9fee727f),
+S(b38c82e4,3e0559db,6732e87a,7cb1e6e6,6164f6f2,258ce060,6d239836,5af9ec0d,9e0f87f4,9d240b33,dc325bd0,49e9fac5,6b7a64e8,57f27ab9,ad765604,2fe47653)},
+{S(ae5fb021,e9256cc0,6236d667,b76b9bdf,304a4683,d2916ffe,489cf019,6b4c5683,e768366b,5c8d36b6,18e45550,d57493e2,41fed17d,12627e37,b29b4b74,d3603696),
+S(e4f916f1,a96dc6dd,8867a619,fef6cf67,14ec2642,12d7ba2b,14b5fbda,b584f339,b44855e3,3ddf19b4,31f109b1,daeea11c,340a9ad8,c17b78ea,c9979ecb,791c31fd),
+S(4baca037,647377c6,f3146dcc,d732b21d,32449773,f55766d4,de5b239b,2ef89e6a,50b4b046,b9e3cab5,dffdefa,fa305051,7bdb2deb,9bd9fb,9d3cfca0,34a72228),
+S(867d7d44,734389e9,71363522,9d4f2c3b,bfc66e57,44a5f01d,1c93c201,9dd3f363,e9b94307,b39ceb65,653f2206,ffc8c858,37654fb5,90eb8d1f,24a9c82e,d8b4d210)},
+{S(782d5c9a,d970322e,deff2e7b,57844184,c589a4da,c042fcf3,86c1a9f8,26c1babb,27bba565,405cb392,64762d97,cbaff552,1bc38b20,56afe313,556542d3,f200eb06),
+S(d07eb76,bb6694dd,4d6160e7,4d4a397d,963ea132,f74d0b9,e9f35c06,830940,2b7f902,62c67203,d6f3fc8c,2d435309,7f8e80fa,c2a732a5,dfdf6dee,ab47f017),
+S(36afeed4,b7507388,285fc481,beb1de1,bc8e143c,ce7b8e46,7c1e22c0,395fef48,5318e7c9,686171a8,ceefff55,3fc98e41,d9e0d789,a2e880fd,6487c2f5,54816a97),
+S(cfc25614,fc96d911,24b3b74,7aed144d,8656693b,a2844934,d2ee61ab,ab794160,fa9e529b,be133fe2,835ec397,b130ff27,187aefdd,df524ed0,9fdd0486,5cf6c014)},
+{S(ebc119d3,8e794efa,85fcbd,5affac35,f73c7428,590ede0f,6365f1ea,87c65b4b,183a9992,3911b1b1,cd9b0fea,3667b6e1,52af7499,8d32beb3,d2ecb91d,af6e8a06),
+S(456dfac3,c239290c,336d1b46,e9638bd2,592484bc,f76d011d,104cea57,dd0e5167,62264555,8de68f49,170a8aa4,121aa307,378984a1,76b8affc,241419e6,95500049),
+S(71108a04,a50b30f8,29f1420f,b9994ba,384c2ff0,8a581672,e3464bb2,93f0f756,ff6a402c,eb50bb4f,7ae17680,458f53fe,d627b0b,dca24cb1,b033feda,f27cbff4),
+S(f8261d8e,ea970b26,fb13ed01,cec553b0,a374b03e,c14763ec,13e68ff9,b219f39,3cee77fb,6e684798,68499e40,fd33fd61,e43ab21d,96a6bf78,35dad6c8,2fea2407)},
+{S(bc4bb9a6,292aa09f,5c66dc9b,667c4642,6b08211f,a9a80f5e,f3f17b,21f275de,5d0e0492,39a862ec,b9649572,6f11bc09,cebd9f29,d9407ab3,1603054d,d9b76b07),
+S(ccf3d9af,434d96b9,fd9e12ee,45ea3858,5060b000,896f1de7,a73a12a1,3f635c73,7efe7415,8a3893af,d408b0c,fcd992d9,cff412f0,f77d6a9c,5d5a9235,d14f5e21),
+S(18ade473,1ee3019f,ad5621f0,cfc0d6ee,ba69ab38,fdca04ae,fedddf1d,f9cad1ab,1ea6e4d3,63f1cbfb,e9d11c54,c2ab43a4,49e9610f,24b6adf4,446454c9,c3bdccf0),
+S(8bc05563,1b13b451,5a99eebd,837e67e9,e80ab8d3,58ee840e,3140ac8e,131cc214,cede3aba,b11b6a91,4ef1ef36,30c12127,bb818ec9,b4d3ad38,a9e68641,a7b799a)},
+{S(c8e595d2,666f4913,1f375b67,81b9113a,d0760e5,9477ca17,8863828b,307488f0,a82cf2a9,d823af13,5c23a04b,bc12dd81,2c352a48,27e19030,8e089d9d,9c316596),
+S(d194c03b,ff719a14,6bba239,fc3e1255,7637c9b1,30609ff9,1501942d,348930ee,5e9387d6,4bbc72de,39ca8141,c6c6d526,530e82,47b43161,72717b68,28d1c1c1),
+S(cfe58760,54b85d2b,e1220cbc,28ba55f4,51cb3c4b,1ef1d39e,b82e8c25,7538b631,a7616b4a,f3564048,b5cdc6bd,b0250abb,ab1bdd33,a7a15857,31119d26,94ff4bea),
+S(190a763e,58315639,578def37,53f4610e,5a802af9,e4873d3e,8c3186c0,e424ac42,b156da85,b8462fa6,83f85c7e,5f718ed7,34a159c2,5b18d092,185ff467,8b8840ed)},
+{S(49e7429b,e0d97bf9,3f17e9a8,53fedb6a,a9bc6edd,8e85f44b,9d2f1469,b2d3b178,ff9e5dfc,2746679e,9826039d,578bac31,c08fbaac,a075214c,73c50f,74568fff),
+S(2beda894,682676e6,11bf6a,78cae329,c26b47c6,237d0e52,61a70b9c,36796207,103a18d9,a6785ad0,2129ca1b,96834d9f,f185d49c,edd1c053,96a8c9f4,dd16be16),
+S(9602058a,fce0160a,70bd2a32,6cd3eb1b,e5ffbaa8,e05bc2db,fbb9c303,7b449ceb,1fa171c,682393c8,2b237910,2ba5ca8,7efa0543,b8cd65af,de324f14,cc53945b),
+S(118d0b52,f418dcd2,b6864967,a49f9d88,809f2468,8bbb6c47,c68f2eb7,bbe7ab31,30ebfb30,ba0bac02,57bf568d,479b7bed,2b1512f9,33aaa040,4966b6fd,5e1678)},
+{S(9a1db7bf,53241ed1,df8d3ea0,f70c0b26,76b43ebc,bcb4622a,9704b0a,3067400a,e3638ad2,95740505,455b2e1e,d495c57a,54ed8e8f,c647a6b9,c69b7dd0,715cef52),
+S(b5c353a5,c86b2d4a,9b00804e,f0439259,335d0bde,91dd2bac,a567cd5e,284be39a,5bba9f1e,877d5e0d,21e384d,52de73eb,9aefcaa5,132117d1,2dd984c9,4a0562e1),
+S(337a0242,62b9fd60,28f5fcdb,c2305543,385010d6,98fb258a,d5c25b1c,4a765fed,e179c1fb,d671e158,36050d89,48fac97c,57abcae6,79e3be7f,16ed8b98,84dcb013),
+S(ecc024ca,640ec936,f7e2320b,58147466,686528ed,579865d0,f61672e8,3e6b0f18,a1335b77,ddb11959,24d40e4c,81270679,270f87e4,158a745c,8d2d810c,ee7024eb)},
+{S(50cd2e16,997d7d45,98bb2d9b,61aceaff,5ad5f38c,8286a0e1,d08055ad,726c7800,dd19c3b,c08b8d97,88f9de1,5941f5fa,6402bbbb,5fdc708b,cfc08844,eb23733b),
+S(34d6a7b6,733bf5e9,ae6aad06,5ee0793b,4f5e1ba9,97de99f9,8771ca57,81fb2382,22f8c6f6,dc7203a8,53e64cf1,dbf26d6d,e255f0bf,bddd9508,a759db8f,2c55cbd9),
+S(8458b56c,982ccb85,8731c149,e2f38880,3958d6b7,55f38582,b9f4d95b,85d22ee3,b5b8fc5d,2da56779,a5b06b85,b5d07349,9b04cfb1,2d7b26b2,d9a4bf44,3f00cb05),
+S(cdbf1327,3388dd49,c163ce36,8d451e3b,51bc7924,173efc08,376cac4d,6f73a84a,d2854757,18fa95a7,1978bb04,5e81095c,f1423d45,e533ba6e,ad91f40f,a6961d2a)},
+{S(4bd266bd,4a730879,cb06d8dc,bd8e5854,c50b6221,d83e0a10,3afcb2a9,a64cca67,a4654a1d,835a51f0,5a877200,1768c549,909212e5,78e3b1d1,df935959,93650863),
+S(6666f098,c04d51a2,609c9eb6,596dc668,16735175,1458cd51,59f5bc1e,2c86722c,4ce5faca,45027cb6,85aad7de,e926be69,95b22719,d8d8fb61,260fc9d7,62a9e47b),
+S(87b459b0,6e3e2750,31087f45,79e53818,fc200703,59d28147,ad79e39a,488c79ab,2656b94d,d33c0721,b90e981c,b47dda60,166839c0,1c5ca2ee,76979133,824d2488),
+S(830acf28,c0a99fcd,f1d3409,ca3066fa,ef8d267a,7ae6ba4,55fceb5,7f76f83c,aa4ec098,51361d43,a339f418,a28de217,a9f464dc,26ceea5a,ae74b4f3,193a58a7)},
+{S(217de5b,a47e8de,cb9d8dc3,dc8fcfd8,203c514b,b9d7bb5e,fb03584b,aa1baaff,c77bddc0,3af15e63,912e51c7,19bd8186,67f999ed,9bd801b8,11bc289b,f12864ed),
+S(e5abf144,9c4770fe,b6772067,b18dce01,efab139e,f0a4d73a,eeff868e,6425a7a4,ba62fc47,597dea8d,4bcd1a08,77730314,81ea6990,796a29b5,94bd06d7,d5330188),
+S(699e20cd,3b320b24,878b6a98,4c3338d7,45f93ae1,a7aaf363,e20b18e1,8b6d0f56,6602370d,65efc133,83ee1c45,baae4a65,efce9bf8,acb0c3,cfedb5c2,94f36d2),
+S(6cf56e78,d6f58bec,32184506,9f26cdbd,7f6ae28,ed310203,dfe410a4,b83449dc,4c24cc91,f78d5c14,690ae276,89a56531,34f89a09,c17e229b,3ab7379c,6da021c8)},
+{S(761cab41,3916a1f5,e131f337,e9023519,6199f789,87ef390b,3f2d8bfa,b0e9bbc6,f10272df,f7e91c40,3565da85,17fd3011,bde7b797,526d3c3,f00fb28e,f26dbd91),
+S(ec45cef2,3211527f,220dd3c5,2e4b88be,8f0b0191,d9e73d7d,679fd75d,ae9dc2ae,ac07402f,c7cf8884,8f00e396,42b5e306,7749e10a,441c18b2,646b2fcf,3f76309e),
+S(70234e32,61f2e099,a1525a81,9ab7c926,bd672805,ed3562,55369cec,85615e9b,785a6c93,f2673a8f,ccf3b332,35922f9,208dcaee,6932c27c,b8e40b0e,c9b06360),
+S(a7c9a0cd,c3692f9a,48ba8307,de80b5d9,80593eef,9e236bf2,49c9693b,c2bb46b,d44258b3,790b9ca2,9636694,6e9ec845,3e3eacf1,a9253092,a7bc92d7,62a03d3c)},
+{S(60b01067,25cf781d,e78ba725,40508697,3f2ff6ec,1511515,6e19384,1fddda7a,624ccf87,f0ec21b9,82efbc4,6d4db878,5d20fb8e,dfe663fc,46660bb7,98c96eb),
+S(5d24589d,5ebf326c,9419d539,f06b2291,42c02d0e,44556a3c,772f484,6cb78938,2fb6e6bb,759dbfb7,57257d21,43064225,beeeaf42,4c99b426,aa27d969,d459a5a0),
+S(43d4db79,797f6415,93248363,38980bb4,3c90400f,a698ab3a,ba38a4a0,9bb13701,e2bacfbf,b84517da,efb0e137,678ee0b7,bbeefd64,7256628d,7edf46f8,38c65ffd),
+S(eb0e5c31,d95f3325,78596f3c,8a027e48,453b5c24,4d0627f3,cffbd413,f8c53db2,29386000,7c3c97da,cc0b5a30,1a7c7c6c,8a1dbfe1,5358c72c,5fa30912,634d4a0b)},
+{S(a707efc4,89165c75,7edcea3c,ce729b44,91f04142,3fc6ea9a,704f52df,c8a0650,f2e7657c,6c618494,c01c5a90,d06b625b,c9416d63,f7b8f809,dda5076f,74fa2c92),
+S(b930b8c,a68df36d,80b589ba,72dda82b,502bcee2,cb98a9e9,95c3235b,457ad4c6,7b8fff37,9970f1b4,1a12baae,f7628868,fd3f1003,bd6ea442,46559b40,3a1e8bf6),
+S(a6d3233,f7e1001c,eea237bc,d4484744,aa0888b7,a2b44b82,59a542a6,c0d6b552,d2f5772,1c2cbc0,7179d252,3cc0d0e6,94551842,afbb51e4,31a6efb3,9206a70c),
+S(c1dd7db5,e5dc3f50,2b08a177,98bb1cfa,afd02252,1bdec7e5,f4653e7b,3303cbaa,558676c3,e25db8,c46bd903,2e9dd122,a981fc50,cbb9e807,157ef35b,5619d3bc)},
+{S(6efd8760,aed4f239,bd97a00,63794c4,ef14acc9,f5b94862,4c7f8b51,3ff35278,74acac29,694c5307,aa221b37,f2ea068a,a269fcd3,c6d85aaf,a8c8eac1,17d7f997),
+S(cdd67435,c9fd1182,88f703b1,1fb4e848,9aa2b752,3237a279,ca30a11e,d05de955,149e113c,49db4e2d,bd50dffd,bd53dcf1,a5876825,da059718,e0575d3d,f39476f3),
+S(b0fdcf78,9c509ff9,8bb36db8,dbbad047,36bce756,e350373d,ba4d452,8410280d,7c8a7550,91b2cac5,ab71d820,84b335e9,b630cee7,2a277e12,dcb04605,21747c9e),
+S(b5ca53ad,77f1569d,ae1c26bf,84ab8e71,98e305fe,e21545e6,f3b2c734,aaa161f2,ec96edd,82ed1d41,cc8423d3,bba6d50,4659de8c,ae5730a9,a0b54fe1,25acdb34)},
+{S(2def7e67,7906cf3f,3677e7b6,1b0a8f8,985fbd9b,23265ea7,18a5c16e,139f0a8,650a89bb,df8c8326,d364fae7,558de827,a529780c,9b7bf8f1,c6925632,7c59c74c),
+S(847cecc2,f30f30d3,40ff0276,9167e2db,97b07103,821eecfe,640fe4a1,b3f5a08b,e59c450,3ea1f4db,c4b00c6,e5b912f6,7dafd112,59773c66,d478781,bb343d40),
+S(4157664b,4baa043b,9cb959d6,96aa1501,5635bfc8,a20ba704,b6477aaf,a9af9ea5,3e44d11,432b4e5b,97428706,4a787681,522ffe,28eab2f1,15e5bcd6,d42f69ea),
+S(675389b6,32431381,bbc0d5eb,20f356aa,31418409,ea9150b,aa7f9c83,41b1124a,999645d2,7a169a1c,de866f4b,ae713070,b9b37c9c,a393567d,8ecd04c5,85b8059d)},
+{S(9705d56f,f75c7d2c,bacc47a4,a6cf8b10,300c688c,fdbd1b1,528f41b9,652d49fa,c53f7f11,896f2edb,fc957dd7,2cc90856,c5df9d86,43e42489,70182843,84201b98),
+S(ed362790,55151b78,4e6f5088,e99b7079,d2409203,c08a8791,7644a639,7a8b6199,84affa8c,62a0109c,b003196c,25296d8d,5d3e1904,c1cd10c2,1e73fad1,3a46caa1),
+S(21227229,b8deca6f,c30351e1,7607ef99,23cc3f8,9aaaa48,9661487c,7b3bd0e3,a054a47,fcab568b,f8bd4234,a5d7fbec,b11d96e1,aa3ad5b4,88fbb405,a7437f21),
+S(59f2227c,32afa124,999ad653,8393e47d,d64c4331,773e09ed,f0517651,3090f07d,1348ffdf,d8adad12,4370f188,cfb47fde,a8297e6f,ea00967,7061bf66,e03b0472)},
+{S(5b27aec1,c644f0a9,ba7f6486,9a960ea6,28343ab,da3feab2,4a2d6add,754866a2,3d1f365c,2aee6c1e,ab2f1879,429b6275,5d1bac85,2998ef25,8a914bfc,ca280b43),
+S(27f03daf,a370763a,e2b44480,7b9e6779,9361efcf,cdd7be23,6c493392,f19253fc,eeedf887,cd8f3df0,9d1748c5,62723c56,31956880,cceb0f1f,c118052f,8c44b5ff),
+S(d301d8c2,8d7413cf,3298cf95,1f7d6c3a,2e8d86ee,c5e3fbd5,e80e5358,4855e04b,6856d7f1,5e94773a,465cb69c,8b7f8961,a2988f50,fdc179d7,63a92ab5,d94b22a5),
+S(8b88670b,72fd02c8,5f973403,5299ad19,484c1367,c8296c73,122d80c7,9bce8407,c98b5a2c,3b0d5c44,32975c0d,32c90794,63ade4fe,92cd4c44,4e8e64ae,7a05c5d4)},
+{S(53512a21,4a659914,82cc157f,da02880f,7c4ff9e6,47a93136,c1e55725,9ce7132f,3ccac75b,13cc40fa,5ab2e017,80f55f2e,b8e6a7e7,22b2e6b1,13a28316,b3c99d3),
+S(2a1e20e6,8cfbb77a,ec1f5666,dfc1c85c,c4a07dda,4ead1722,8d7f3633,6771be47,b1f5752b,3f6650ff,261898a7,a8c61f71,48e8f54f,a39e2f4f,8e94ea2f,b332a08a),
+S(560d86db,354e5f8e,e8522056,aa9d0f5f,6329fca8,2bf11ba9,fc29505f,7974662d,bfd52860,f42f9d8d,84892fda,b78aa79,9143eee7,26fbc95,b5e17856,53b13878),
+S(24c3c40b,df047994,d0416339,e64d6195,276e3779,68869b66,3ecdf186,4703207d,643b0918,c8dce682,50aa3abb,db68f9cf,f8ac64a2,2c7cb77,ef8fd252,36cdf29c)},
+{S(534e9d8,bea140bb,4970b516,c42f2677,dc413f42,9b7c56de,e261f60d,ec68f9d8,e55aff90,1098b0a9,ea377acd,b62dc479,da109514,2654107a,28c68e9f,73b1cba),
+S(28ecf7fd,a122550,8301ad75,6028e29e,13da7586,d8b2aaeb,f061e927,dd030db3,bc3e08d3,df4218b,88279f3d,cf75dca7,4a9f567b,75ad0a86,f9379c6e,37661962),
+S(851aa3bf,37ee83d0,8318527a,5f4366ee,8ae98d29,de2254d6,2e4428fb,cb5e0f21,423393e3,937816e7,ada1df1c,ebdda887,5e114ab4,23059a35,96668a80,7820754),
+S(7e6cf455,9d674d6f,a6263ffa,69cef00e,f69f50e5,4a5d6603,5efb7732,b1aec817,3c6d0cdb,c7ac0623,1c47c044,e28bba2f,105a1730,7cdce1a9,ced324c8,f770cea2)},
+{S(dd7503a2,a3e15e7,39eb9b1f,856d6e33,be4890b2,f40cfea8,1bdf516c,b942731,ca9cd04e,c3789ab4,5088b819,953e08a0,b8adb8b,b2b6f7c8,661a2d3b,83a54c77),
+S(9850c031,33d251c2,9f0d64a,f7941f4c,475c6099,e6ba606,9d396ce2,772a5e53,acad3120,b2b5aff9,209bdfce,34d6e5a0,899c9de9,15083064,b84fe57f,2e1c1adb),
+S(14194578,53638284,4574721,cb83660,bedd3cff,b68c7023,3f3e6a8e,1d78d797,94d7a10,f4e52fca,c855fbc0,7c977386,b11e179b,db6e6488,67ff3957,28ef2556),
+S(c35a90c9,d1f6e5f0,265b7f79,ec47025f,75eda795,27a80f3d,297eb2de,9a85c603,94336bed,d5187e4,5faa0993,875e2421,b7e02eb1,c4dd9e94,b4aab892,3f63f838)},
+{S(c8116b60,1f8d72c6,24957215,46b844f6,bf6bae0b,7575a77,f1f6c6c2,5524fa2b,b7477ca6,de2004df,34882c65,3a46821b,53372f13,ed822cbf,40c20bd9,ddd1d6bd),
+S(100f81d7,3b016931,1291696c,c08236f3,6100d4e,10737bd9,2b583d74,1b1903dc,80740c37,a67af622,bcfad64c,38be6968,7e780ad7,318163fe,5d2373a5,b6c90976),
+S(17d3e5c8,8a7c9ec5,8a600c2b,c5d0574,491d3c19,6cca5de5,1f812975,e6fd3152,6676bbb0,9ef082b5,f8ebe69b,22c57949,43df3335,2d329621,3238f39,36bc0b9a),
+S(f7ccb6af,6dd503e9,a694d721,7e0444a9,6428f277,2cf0e511,cc73bf08,590a5475,817daf4f,3a7106,f23aa303,772a35a4,92d49ce,1d4cf9b5,fde4653d,28ac6cf8)},
+{S(e7ff8d5c,83bd5846,5c967b5,37ac0f36,b9ffe9d2,fc7531e,ef183cb1,7369c066,9a9c3c4b,e482031b,f6dc69fa,843ea90e,de165479,26ba201b,5f05b00a,dbcc30a8),
+S(da3b16c5,dd1f95f7,6e54297a,d6be133a,ef0df2f,45f14a55,de978a02,6b8b5fda,6712c26a,cd07740a,70573f13,f42e2b10,edbe32ab,fdb517fa,7a61af6e,aa1c6132),
+S(18e515af,fe6c7273,e2acc85b,6dc345c8,f0dce23b,219abd3a,d295f686,4e02ff15,339f848e,f0b1bc1d,fa748290,f25e381e,68cebff2,f3e47caf,ff654909,63fcd515),
+S(66bdebee,8c0935ef,32735526,c077cadf,bbc14003,8cbe910e,66107308,8c2edf8b,91ca5bbf,3911b59e,d6c6fe5,2fdd9a94,5ed49883,275b8cac,7fe4c63b,530c7a50)},
+{S(d8f08d18,ece61855,5b06a3b5,ac8e7cf,a6375446,cbc7c8db,ad924f78,69e7f00e,46a91d23,910957eb,db830624,73839954,2cea0570,2f67a09d,d7d19217,646606e),
+S(3af65e2b,b700e873,edcf50c7,913e6fb5,534e314f,a2eda897,29fad58f,c7a49b54,dafee0e8,7d70e7b6,fb159def,92a6e5d6,cfd6b8f3,68fdec20,7719e085,94bb8e28),
+S(10db17f1,8b009000,660f7dc4,d1a48fba,13926ba,67b71c34,51d2557f,a6f141ca,2f5bcc34,51445a41,d5f574e0,278845d4,805f82ab,ec84bf1c,a39b4bc8,9abdac4c),
+S(ab18b6c1,55cb972d,9152c11a,36877a3a,86df3379,181c712f,7242bddf,9fd8f099,b8b8f41b,dcfc9ac0,fc112dbb,63e4cf,72906ad5,1ddaf95c,2a8ecbe5,bae0e229)},
+{S(ca3c008e,cf9efd5f,75cc1035,f9edaa7c,46b17d25,9895b0e3,b3523b6e,eee9daaf,a676aea9,3ce9bb,128ffc34,deb96b0f,72179d28,77406d04,6d0c8b5c,3572f4d2),
+S(cf03f3c4,11bf7fe1,46abf004,ecc3583a,25116d55,6c6fff00,71464810,8470f0aa,aa0c0197,d57d72d7,bf336ab3,5527f42e,c7472b8f,8113a9f0,c99f129,4b39e7bf),
+S(5d78371e,cb875987,c9e65356,d35240b6,c51e3897,6f884d73,c80dc0d0,839e8b26,76451b48,5c9d7468,77017dd7,412e06b6,2ccfd59d,a1800765,31bae6a5,b2a0bf73),
+S(c1df0be6,6001ba2f,2a4ac3a9,466eb526,f37432e0,43688623,8fddcfd1,c1a2bacc,a8b676d5,2b3ecf46,e5849f4c,7c7c46a7,33beff28,d59285a,755509cf,5c629060)},
+{S(8a4e9691,3533875d,b8559500,65c90785,a78233ac,ef24113c,f6ed543a,e6a40024,57d9444,8d091df9,602e6c7f,c3f88934,d45a7c76,18da574b,4d4c15a6,6925bcf4),
+S(2afd690,bb940709,ed1a4f85,41658f4d,254edbdb,7a64fff7,c06c904c,47d0cc7,d2177070,3bcdc50c,bc219ac4,62a6fab3,5897b550,d057f9ef,837ac04a,f6233c2f),
+S(aad6646,8406b84d,38782e5a,669bddfd,c2279bd7,df486dd7,93e15f82,47bb9cfa,5c0a68b6,2065ebad,f38595e9,5f7a44fe,2bfd7ca8,4ecbaa82,ad39fbd7,b5a1afe5),
+S(4a7d2720,1b508d35,a89b6406,68e99cdf,5a400d1c,cb21732b,e51fb44d,61c4cbb,d714cc9,9d59036c,4d82b668,e852cd52,d4d09ba4,f4007346,c7c1bb97,232b0fbd)},
+{S(458f8dbf,9cef8cbc,5d2046c7,42ca6297,e8fc76a,ad22fd3,af4f9a8e,2173d857,57074c8f,14a36b5f,6924517,6e3dc7b6,4d12a08d,8d00565,e70e0ca1,56f29820),
+S(970222f4,b79b7b44,bc10c23,1dd6ed2b,2d3412d9,a225fb31,53e8d633,57f2c9a4,5151094a,f28c4b19,6653a42a,dd1f2270,50f0bced,e5e9339a,cea08b7f,e44f9357),
+S(5efd117f,645a903,dd4d3f60,72a1f9e0,3c5a91d5,c8042267,1f791747,df32cfa0,770add6c,9b44ecc6,6b7a5fd3,3801ffc3,112bee8a,af0c02c3,fc646347,fb8483f3),
+S(ffe6a8da,2abb5280,2d5b9e43,d2d0505f,f564db87,57179c55,30238353,c51c5365,4f1a00f5,4171e1,65d40719,8b913be5,fa84f018,50c40123,9aaa98dd,b303cb71)},
+{S(d2fff4de,9ecfdbd2,dd99ebae,d038415b,19b6c44c,9717926c,9e9a668,3fdfd377,a7e8ef8b,89877e3c,cca566cc,7b7dd537,d157cab,121d1623,b6880567,ac66fa8b),
+S(5aaf3141,4ec3d722,75d928a1,c6a528d1,c94ce228,19eb8932,b0da11c,9e4a4574,5d496edf,c3b054ed,5b7fd57c,e731e41b,a538089e,19c11232,2e844b49,918da76b),
+S(5798970,da3ee2e,d65e087e,81d9ce60,fb7ee1d4,145af16b,42a4889b,31b68258,8a8fba47,b0b2d716,6324f55b,143b3b14,9af089b0,dc9b9557,40c5df93,3067841d),
+S(b482e028,f9cfe926,6d7d4072,c01d30ea,28dfaf9e,268f979d,faaf0b11,4f420d45,eddfa10b,7cba2273,4fa22208,51fc47ba,82721443,19a60d40,624d4e7d,454aff71)},
+{S(b3b5422f,1361ce5c,bf7cc061,3c78aa88,a02683ee,cddeaaf3,f5516cb,291632e0,1790cb50,cc2c760a,c7c2e97c,c44aff29,86c73be5,59a88180,8d036e7a,94347156),
+S(34359647,5f3bb33f,eaac445b,5574c7b0,d2fcecf1,50a098d2,445748bd,482b5e0b,7caef8f2,4aa39495,6a36abc7,6704f7f,f7be9b22,6e3a1004,bc3dccc8,3a58cfa5),
+S(5000310b,6e81394c,4f91677b,a03c5ca2,5e5c2581,bdaeb320,573febcc,4bd638fa,1c238674,6752ef6,25526d5d,1c80e106,c45a7b83,9ffd9160,bbe6bbe2,8056b532),
+S(be843ac0,1b9efaac,adb5c047,49c5990,7441afda,8f33b1ad,20f6335a,5bea9c02,1d14d074,baf0a79,6c165a23,fa9ac432,c46f6576,838625ca,1d73c7f5,327808b0)},
+{S(2e01d33a,c10caa03,ab514f75,46226f67,69a08f01,56017b64,a2436a34,447bfdbe,f5bd77a1,2c61f2ef,60a8c937,cf29e1e6,882b12c0,3e7a7763,f1ea498e,9207836),
+S(c8104402,70594c5b,f4e36d2f,ed9e6fb4,2d362b49,5eab7a11,2b1e1c26,aaa20cec,939741b4,db55bca3,53879f72,6362518f,98538a95,77249283,e62b98b6,b3c65c34),
+S(408038a2,a79bc8cc,f1fe98f7,d7ddc784,28fd3c71,ed6be435,d76f1390,ed4e3ec0,2dbc7345,f4a358c6,f9690213,1f0418ba,2db1fd01,7e47d8a7,583d30c8,e74027ba),
+S(8f0e6b51,50d752a4,86f0edad,a8c21b14,1f7a73c7,2d797233,6a45fc96,8c857683,3cd1fe18,21f1291,7d86b629,ad5aa2ea,46243c8c,398be570,f1959d4a,47b5c3cd)},
+{S(934807e3,60b79e08,d1e28924,2478db59,331c171,6366f421,eda4417b,c0699286,f7f83c26,50e7a77e,2f760e68,7f475858,b2c2d770,195c199d,33a84324,e23f02ef),
+S(73c23592,7ae07afa,1cfc030f,a8c874c1,e6d876a4,7414894e,dfd993d1,208ff29d,c2158086,e6dcb078,3a602887,d5d780bc,6e620946,91260289,5244ddc2,f98bb1f5),
+S(e588d73a,6eb03f3c,4700380f,17f4c36a,41415cf6,43bd12b3,7e5eedd5,13612e84,3a1cc3ed,22df4c92,96dfa9e3,3faf5035,d084a6f4,fd06c27b,e9bdfefe,bcf1753),
+S(7fe24906,485a5638,42ae477b,de90b8a3,1984bf42,7f43660a,f120370d,cf6a3d3d,16bf27da,45038c52,a6051298,26039376,a6fbf802,583ee59a,9752dd09,f30a7ed5)},
+{S(accea070,aa6709bf,efd88be4,bef1d485,a0da83e7,ac9a1eb0,eda8387e,b9fe666b,93fc1c9d,fed8fff9,60ef750e,94dd2342,5fa08c3d,8eda3eee,7f51381,196080e3),
+S(412c82e9,f90a302d,f404bf6f,c3581516,b23519aa,2ec26f20,9c80fca3,1f4d0698,31b2bbb8,493e0c15,796d93bb,59cf70d2,7f9c65b4,b3a74969,8612f72e,a42e572b),
+S(c0ce0313,52b119b9,795635d8,5e2f5153,a3514d6c,190e2a0c,f9effdf9,bcbdd6ff,b4ef69bd,d4671af5,2be6a4be,1ab4460,71485a7f,6fde10f3,65db8bb0,91eeceb2),
+S(b7a23510,abe3c77b,3720006a,9e29c6c,180e40aa,889ea103,ea2387c1,1667aa9a,863f8837,faef7267,d7e36595,a15dd7a4,b2012733,c7347dff,501017f,188ce8b1)},
+{S(a488f83,2bf3e57b,5225f748,754ba2b5,cd9657c7,175198ae,122c3d1c,ee336ef2,4e326d40,648cf269,2db42532,55391fca,5c2b48d7,44a9e39f,bd1293dc,827e9021),
+S(bf6227e2,a75c717f,fb3d8d62,361b9212,45bf64e,b19554ed,11040b32,521b9e52,209826fd,41f88c85,f90b4c4b,f90caba0,9cba91aa,687cc502,23bc71cb,7f5459a3),
+S(c0ecca8e,90d6979b,54b9e9aa,5a804c8e,106b8b41,a609b85d,1824d079,e2b95f70,1ce95138,2b6eff47,9660cc00,8ed77229,b11158ef,15d97809,a6253439,b88cc4ff),
+S(3d4861e1,6069f0f,ddacdb17,595e59df,54a07376,4237b29c,102eba03,230dcb3a,435fa321,90e459cb,137046d7,d316fcff,6fd6c954,a8e2476f,3d38d9e8,263deb51)},
+{S(a473de46,a554667a,368fd573,168dea23,3f81153d,e1b35b26,90da8863,71e6c131,4ba0b462,92aed936,7a2bf9e9,de48a08a,874fd681,aef86a15,58b49e4f,13dbbcec),
+S(435ae44e,4f062fae,72ec122d,b7cd5d5a,719c5889,a76ee171,be0e5c61,c5c2d148,d4a6c494,1fafd583,39b59229,b384a5bb,85140ed9,b8cc99b6,38f995b4,2044f380),
+S(c170e94b,8fbff40c,159b8fda,ab69093,49e7ce91,1658aa2,896049cc,56b4ee31,19b45604,e602baaa,7085e27a,69d8317f,26ecb345,a558a3e1,5456c1a6,5d89e992),
+S(2a043b61,f5e22943,19a38b67,b3bf2f8c,89be156e,641159ad,c94144c9,971af395,17d7c7e1,6c097256,be0cfb11,d9a3cdd7,8bca6a1a,c9514e37,3f59aa5b,c48eeb9c)},
+{S(476d7ba4,35177a71,299267f4,14ef275d,48b434e1,380c1afd,9fac4606,f8e02be0,7f1255fa,57a60447,c14d6574,1d7774b9,695e6d25,1b46912d,d33c77f3,f756edc2),
+S(ac4bc955,aae3fa7c,a4ac46a3,84cc2f7f,3cf71f73,b15dd3bc,30513ca2,7da2808a,694ee4e8,6ff945c4,4a5ffd3a,19965ae5,2e15cca9,b51d4795,855eaad7,fc959809),
+S(43b4f6e4,25ce5fd6,2c5d6d5,ce33c6c2,df453c6a,9fcb3b15,83faba41,69fee22d,dfda0e64,572ee74f,1fbcc406,7879fbbc,b3896243,70d4bc7a,677eedc0,a3432e4c),
+S(e2c0dd25,96da70ee,2569cd83,cea9281e,e37c731c,d0112018,7966da7e,75a9cadd,f87becf8,ed20a606,f8be39ec,2baff52f,60543859,fbbf2b9d,2f8c9933,838b6507)},
+{S(4f62ab4c,b7fb0d13,12620121,9841e932,b0de312d,674cd002,315594e9,81dfb3a1,1145fdd8,c5d16653,a9129b0c,39fcbbd9,5968d22c,ff2127bf,91e89847,35e2834f),
+S(ca2ca59e,ad140068,e488658a,836090a8,eba824f0,3c6a81f8,fed13956,865f1be9,f8e286f9,8e9c9003,e4701dfe,83b79be0,d475e320,8cc6fda1,84095f5c,9d0d70b3),
+S(eae775d0,8d013499,5ffcba75,33a6dd91,2a07ef45,5a20f49b,8e7b7ed2,75d3c54b,aa4ba756,dd0bd16b,32e86c7e,a520ce1a,bc224d2f,822059e,3df2cd7f,d8d1f855),
+S(db566c14,bcae1071,e0bd82a,7a965a72,101d4b5c,29cd7aad,c91e5e99,f4648978,78569150,59ba0432,3afd6a3b,ae5eb503,f920318f,25fc8c45,d1b0fe35,fcbab0e1)},
+{S(110f05a7,489138c6,51e48771,d505c7ce,68bd6e61,67cf4c3,3933441f,a236f263,761652d,178d0d5c,f6189501,d02d7078,2f10f835,27894d79,4f93dff6,e90a3b16),
+S(7e0419aa,c31953f4,73ac26a6,80fa9996,7e8f0af6,18ba8a64,de8be81,33f48b6f,b6ef4bd6,5b82a94d,e774eb86,63ad7144,f025fc3e,d8a229cc,af59a816,5c38638f),
+S(ec0cc26c,6044567d,609cf31c,c874d9a1,844f61db,37ac4e04,10497e05,c7accec8,20004878,3f7d270e,81144d48,ec839dc1,d1ecdac7,75910eec,b2942619,c8baba8e),
+S(942bb265,6d6cf90a,44b1701,76fa9b2b,e366ddbe,fce1a83c,cb3ecb4c,555626cc,e07e2e36,2a835d8e,31601417,fb185a06,14aa4598,6896880b,f1df90e9,aa5c40a7)},
+{S(81f4223,6a39a14e,d2764665,22edb719,f2fb72b2,c571ed67,343e2c57,4fb60e5b,34f10ee5,6c1d5e02,51e8ba8c,9f129391,521f0601,2ebb4549,7377967a,d8347e4b),
+S(f983c256,b5c49a86,6bf19c43,50083f4a,7e9cfba8,723d4740,f6909434,3b422fb0,11dd2c7f,16c588c7,d675ddd2,be80e785,50f63fb9,1f1bc016,bc29891b,f5bbd8d5),
+S(37fc1499,95a90668,a871c28d,8ed84092,b928fc95,2c459c6d,cde783,28c936ed,e0b07cfb,6fc2442e,4459036d,bcd0117f,c36760ef,2f1046de,17673726,a41316df),
+S(4ffc822e,916594f3,fa007cd2,682f0c5d,91b835ac,dbda2ad6,3ac3b73e,5094a175,3ff732fb,57aee90d,ad86ede4,5afa2e18,c95a0a77,d6cd008b,11c95bfc,dc927843)},
+{S(2dc8f27b,b3bdcaa9,2feace80,f2f6212f,8209477e,531e74cb,f497372e,9a2f2263,7feb63a7,96b55bee,ffa180ba,fef47776,fc4fabd4,2ccdcd97,64b4bab3,10350790),
+S(c395d4c4,d877c2c8,268621d9,5fbf4f3a,bf839512,c68dc89f,82d6e757,d3938cf7,b37a444,a4e73223,204799c3,df859859,892eae5a,73844d09,9d33eac6,37779a7a),
+S(d31454b8,b44e2a30,395674f8,abdc4fb4,6ac242b1,68f0fcd9,c59cbe1d,c8d2b47e,c5a4cbe4,6f8775cd,9482de12,4bcf447a,14e75b52,74f04a5f,c7912457,e31a4d82),
+S(c133b76c,a0e74084,b279a464,dd7d5ab5,829e8304,ad8bd982,b2e112a2,9f452272,3bc44411,65b0b601,93bbef51,641b2569,a57aa5c9,6150ffb3,936f00c6,b6434b80)},
+{S(118d5053,fa3ef05c,810cf906,3a410f53,38a9e6bf,513b9a7f,5259112f,f84ad7e4,a371fc9b,c9182528,27d6c842,32e4e44a,9d32eafa,84f1a02d,a86039d1,6309e92),
+S(29f11f0d,1457c9ef,7660a6f7,efc42e79,f58ad31c,1df3ee82,33856c30,185a4152,60cc2ceb,5a506326,657219fb,5a8bfcc8,d290f5b,1e05f73a,5f410c10,6ad99bf0),
+S(ab757a3a,7af4069e,23493c2f,3978b8af,67d735ea,92382381,727ca6a0,df3082d5,335e418d,1ac2ac71,81a96a7b,7d15c55f,f8c6e342,83aa7f9d,8ae130e,dbe0fd41),
+S(37e90fb6,b197550,14d0ea75,1ef33c24,a00d8cf2,5ecd8476,8adabba4,477260f7,90ce4d73,7613beaf,3e884036,5071f104,b88a58a,94c80b4a,1325694,722abbae)},
+{S(568b3e2a,2db4792e,4ef4ee66,14e201f8,a847fdca,38bb003b,adb06d74,1e4f999b,7334b395,61cbcce4,49d83eed,205a4c40,d91d2751,938ba7d0,6ed9e5a5,e1ffea7c),
+S(8e37181d,e892fa67,3f26c69c,f6940204,c8f5e5b4,7a027489,ba6f02ac,b87a40ff,9c1a3ad0,bf418dd3,876388af,d45c6ab6,dfa7f7f6,94e991e3,ef0895e,7d7a51c9),
+S(cf2e6330,134713f0,cfb27276,9e65e4ae,83d7a3b,84900aaa,3d32d401,55a19673,b8a0a5ca,ebbb17c3,923448a,767804ef,43bb056b,724471f2,5b089b3,ec77e453),
+S(ac0df937,d2d65ab2,e6bd28ac,76551b78,bcb1f38d,81f988e9,3fe2b8ed,740ab0b9,f546faf2,120b2e92,6c4f0f18,49cc01eb,834e1406,b5ab4d54,bf3abd22,2b40ec25)},
+{S(7c32fcd7,13305cc7,44fc4ff5,2d315e2d,d4cdf7c0,31b41a64,db6ecbf9,fd4edcbb,7f002bf7,b8e1b8f4,a4a4f2b,1922983e,fb901e13,59cbe934,8a31d91b,7bc86bf4),
+S(c72e640,f0401cde,93d85764,224730de,8d46477b,538528b2,53361873,c9f39dfb,571700b2,b5768244,63541839,a1a890bc,dc823e39,a7d137f,9e31e849,583b8fbe),
+S(3bf6cfec,83091c9e,1c1deab8,6271526d,9d9afce3,1f052a3a,c8ebd1a9,49005470,35fbff47,bc7d13bb,197e6d7d,50596617,79a06b,e956bfca,667cf070,b80b45de),
+S(3416d9d3,6c2c2c6b,77a5d647,500b145c,926cb3e7,1aeb7e83,101dc410,a72bf818,c785a0c4,7408b8b0,30b386cf,9e39f1ef,7bbc4358,f66ddc20,22b1b781,8ca175cc)},
+{S(29d70da5,92094c96,e293c115,42b9dbab,b30df8db,ac98416b,65b0b75b,b3ca446e,a8a5aa3c,c3269596,dd8a9d98,87a3b772,efa1c668,3f8a947f,ff80c662,31c70799),
+S(bcaf0322,1e406be9,5df0e9d8,79d82851,2a71aa7a,7a84d8c2,ceb0a6,9d33d827,7a9ecf5c,efb0adf0,c0a2af5b,dc6c2537,b1fdbe0d,be399bf5,6e9d3612,a94f4239),
+S(7a24f37d,d6a8c278,cdae5cd1,70be20e5,b9c9c028,ffd3c9fe,4dd3fc18,45a339b2,705f933a,d0dc7a14,7838c060,abba9bc1,7012ccbe,83633551,536e8aba,c8b5ee1b),
+S(c35ffef3,aa4a3e9d,93dcaa91,a972172b,785d997e,dee6cf34,e181d217,a3c83d97,122638e5,b7bd05a9,1c5ad0d9,bda96767,6281434,dd0f8a92,561df9bd,96779571)},
+{S(7885bb79,25196ae6,f45b6658,f3c04f5,a3b76cb6,1d60eaf2,45cb35c2,2552267a,9839aae2,b4d9de01,1a119d3a,d269a821,dd88d287,2f031910,a2f3cc22,2e8555a7),
+S(b425f805,2659b55e,4b46894e,3498c273,e1869ffb,880e9c50,20bef244,ad471ea7,b0bde647,f6422b6,a8f8fd07,a6f8c73,5b5a17bd,9d6eb57b,34142a18,93825a7e),
+S(ccdc5e4c,7593b182,a70c2f97,c358db89,f5b09cf9,de3c5bdf,2a44808e,a84023df,8004b543,df7a516e,faebadfd,c2121101,1ab99b4f,c7a8cdf1,43a56afc,8aa72854),
+S(d55f41a9,331ead98,db392478,aea2ce68,ae5c9f84,179caed1,aba5d60f,246f576d,43eed529,61c8bc39,8da97200,92f66f18,69be7dc2,d644f291,98be290d,adabc6a3)},
+{S(422f029,1f51c4df,af233322,7015e4c1,ec8175b1,a8ab6b2f,60a9e291,7242d940,51ae32b0,ed5d39d,e1d61437,d363d59,181a68b6,4e052bc5,9d132da0,9c1f422e),
+S(3287920f,f0fc9643,9b0aff00,d6944422,297d3f52,7539f579,98fe3d29,80cc58c4,eaab3473,d562fe1,6cb86453,52228f69,f34efede,6934a587,ce62760d,5fb7869a),
+S(a9ce3776,2c703adf,e36d3f6c,7a2b04b9,288bd09e,59bf6fd8,25cb0ac,84bbc641,1e9e8e03,ade9a185,d0680f80,9a9a0468,2338a1bb,4fdc129d,f6a86377,2f9da89),
+S(a7480262,bab701d4,11642b23,50934791,8e393f5f,3d55ca2d,fcdf1957,f20c4e04,460875e0,a7afbd6b,ee8491df,d1e80b58,9cba5bd3,a6e4d74e,a4f5bc6c,567460d4)},
+{S(43cf2273,e372157c,2180640,594c144c,93f64fa1,75f28cd2,5e7efebb,14028a93,1f8b092d,4cabc600,33782374,10eafd04,37d6436f,6064932,6f8de6d,94059d4e),
+S(e327e5fe,3d20effd,89532c73,eae90c0a,36358e5e,65cff655,b25bd325,8339599f,311932aa,8e4c3f38,cf6ba972,d9872585,14d376,460a1185,6b3a8bbb,ef050996),
+S(5fe08c73,62e99994,ea0416e7,d29e1f8e,56e66baa,ef9f3cd8,47732960,c6e545ba,f9373f76,5a340816,cde0db8f,486d6453,531c0ec7,4ddea72e,280d7f42,2fd7ad80),
+S(5c32f5a4,74b7f6f0,c019f7d0,a2df5c77,4017dc1a,f93b5c00,bd531eac,32488609,94ca08eb,3d86eb5d,b8f31b4d,9455a6c6,1525a0cf,b388b698,4fb286c7,188d3193)},
+{S(9f10aba7,5a7b9fa0,233bf53c,d819ba2d,919f8acf,9a5e6717,2c93229d,547a40bd,85485295,254a4456,87b065aa,dad21f32,b31735e1,96333fb8,11117a00,d0bf2361),
+S(b56da700,114ee476,21540199,e77ba271,e8d578a4,5be263c6,cee2e8ad,fb3a3e48,23ec87c4,236c1299,96ba8d3f,b8cc8af0,b099042c,6623deaf,2abc10cb,c17536fd),
+S(a9d94ff7,a5be0ab7,5a8563d6,b061a8a0,7e12690,4870fe3e,39c4ce98,93e96b09,8d1b1b28,a0366d25,a61b617d,9fc10194,72fb3e5e,ff5ce43c,9e1bf1ec,708be6be),
+S(fb9fa3f5,381ed2f8,b8f407b2,9991fa07,a6d7a265,4dd2b3b0,cffa3814,10efe8ec,8e9b9167,bf42b7f0,6bb22bb2,3fb40e01,bfbac1a0,dac536ba,b17e7970,803ed9f4)},
+{S(b365ce49,d21ca341,c173b6d7,2238c56b,f080d218,a89e57c6,ce1664f6,5c290a44,e77935dd,75d26531,d4045f72,3b4b5dc4,6608f8b,60f58989,d2ac4002,c304cf04),
+S(f512da13,dec07111,2b2cdffe,f72b2b20,aab81bc4,8c3514d2,f6f1360e,ea17e855,3934b35b,87269072,77bb171b,fa2bf260,244b1f6a,13bdba7e,a3e43b8,d86d8abe),
+S(3e000708,badfe5fd,d7f708ca,92bd5784,80d0164f,d76bb0bb,4dfaf9eb,e54335a6,713915c9,7c1b1d3a,7111ea47,6c232b85,527ed32b,1e6c4584,cf36e9d8,5abb9d80),
+S(c6e97208,17f00aef,4988ea97,8f7a0240,efe4a0ce,203ff10f,4dc77e2b,eb49934,d47cc2d7,f0e499b4,985048fd,fd5f14,83d1f90d,a1abc2ff,340993cb,e7ae03d4)},
+{S(38186a1d,6092b158,554f3f6d,c6de049a,2037577b,2da8db39,163fde30,b19dbf2a,a8cf045,9c7ea28a,415d01f4,47566d54,f986cab5,eb272326,442f32ef,cb6c43c8),
+S(ac911a57,1f58a283,517f1ae7,7b2ec8ce,1bbb2d17,3e2dd021,bbaf352e,edca57ad,c9e985f3,f278463b,66851c70,d2a2192,299a3bb1,7ac40661,bff10ea9,29734b3a),
+S(9a691204,2f6e8cf2,7189de67,f04d15c5,b80df68e,daa7dc7b,74d08053,e32d4516,a60a7abd,6448fc26,3d49e9fc,32b51f05,1578a8c6,74827059,ddfb9f93,f4621acb),
+S(8e6ecfe4,e5b519fc,be7bfc37,5b0738b4,618e5586,dea95ce1,8b870424,55b8d1da,4d459953,53cf5ec3,43b38aed,c3d6bf27,83230fbb,9fc0e147,5cc5ca9,6a341ef8)},
+{S(d8e5f3ba,c152215a,8cf8ca08,40aaad6c,7d001aa0,140bb0b4,dcac726,229ee272,e59390a8,21e8608b,e53fb258,a426dfb6,ca762fd0,9d574f7c,5555cb8d,7174b381),
+S(281c15f2,ff06b872,5d0b9a22,2583cbe1,f29c6bd9,7d63db8f,426bbbb7,f36dfd57,ca452a00,fd4afd88,f5369ec0,5b3a99a8,7ebc60cc,db297d6e,ad1479ce,a8c87bf1),
+S(69c61933,b91a122a,36087b61,1fb86372,3cfaec6a,5e51b4de,9db83fb5,cc5a1e5c,18b17e6d,74d632da,90946919,2ea6700a,ddfb34f1,f537e5ff,581e04c1,97437d78),
+S(e97b38d0,9bc65cb3,421a6ba7,9efeb127,16fc82fd,b539f94c,1c068699,2aab5eb8,43244371,2d899972,a9ebfdab,4ab8a5d3,b7b14b0e,64d82d52,50b9875d,bfc9e1a8)},
+{S(f41bd2b0,e0f49133,747e831c,af4c7a0c,22d2b55f,1cd4ca53,1115d81b,b47754b0,869485d7,26d4687b,c57a9eb6,e90e93a7,bce3b523,998d16c1,297c996a,b68c4fa3),
+S(b6161665,b95062e3,aefcc0b5,1220e1d4,dc6945ec,3f73ca4c,47449592,ca977cf9,edea5f23,e6dd49be,7d718fbc,d0368be2,ab3b556c,e1c1de15,1d811c81,44bfd39e),
+S(efa245d4,3743d3cd,863a6144,cae9db8a,c7b80e58,4bb31a66,1b670b3e,a17a63b1,ccb90bd2,806117e3,3781f7fd,7ec24d22,b6174aa7,1c8b0f35,bd22e95b,7f5fd96b),
+S(ff59688a,fc00c3ce,15e0b2fd,d829725d,28b9d07f,9fb13e7,61ea7f8c,c271914,9779dd1f,aa487c2d,b4c4bb48,3877a848,c329fe68,52c05a8c,7c8d1c51,95a905c6)},
+{S(67c452cb,e71c61c5,8aaf68cc,b1f6208d,5646432b,86774f8f,60081179,6d5337c9,d5f859de,a125aee2,11dcc7cb,b50b4fa3,ef4f9767,7eb94f65,b6a181df,9b938c0a),
+S(247c1e17,4a3fcde8,580214e6,b791ad00,59a992d9,84a80f32,640e25ea,3841b18e,1a9f638a,74228a49,e083b3c,c233022f,6943ce4,457199ca,30f230d3,42fb15c4),
+S(d36e3977,66121dd6,af8676ea,155f4898,c04ad6f9,d682841a,6811c4c7,2d0a498c,61c0712d,24db9d98,dd6dcdcb,e0a57878,b5cc5a88,d42c50c7,d5f144ce,a937ebf1),
+S(b0a52f1f,2cad54b6,658a07a0,dd64c7df,e227aa3f,a32329bd,cf0dba1d,b33de23,c760832f,9be22f9d,c7d17a21,46255338,25ed8afd,1468d03d,d6ae5593,71bfad31)},
+{S(56d09714,cde8f0c,f1956cf,a56bb0aa,b73507c8,bc0399f8,c0fd17de,19e48e9b,d62e1f31,b40ca6ba,71de9059,8a9fb911,6c5f0007,df0c33eb,f50db688,ef0ab90f),
+S(a070b352,ecfb2a06,d450cfbf,6800d7ab,6ecd58c4,a5d66c38,a330feb7,739c7dd0,226e8d14,8b074b35,db600e7f,4bbf40f5,c957e5d2,10b757de,3796f2db,1fa4e89f),
+S(acf26ed4,9c8d49fc,69d83f06,168a7ead,77a0e16b,89fcd5b9,65da0d65,5dcb7d3f,54894631,5bfd024f,cfff92f2,df2e2ce8,987c385e,6147d783,612a91bb,5411126d),
+S(33b944e9,fbcac6bb,4a0a2c95,168180de,fb88eb50,7cbe354,884af02e,dbf5e0c1,a0de73f,8c3646b2,dfeb126b,100a8e6,f5adfd54,2e26b225,d096d760,90f87c62)},
+{S(31095045,658b8c85,ec0c4ddc,7cbce691,d060181d,ffa08855,f3f36722,4c026225,9a8cc527,1c231ce7,aeb6e73b,9acbc16f,4b331b01,4bd457b8,799bad40,547c210c),
+S(48472fcc,ddf9b0b3,99ca4d48,254695ba,4beb02da,849833ca,fe68454e,284998c9,a08a0346,83e54fda,d2a1fe63,20b67fb1,b58a4671,b4d08172,b1b6ffc3,c3852499),
+S(22cbc8e8,e2d632e7,bbff1662,4b6b971b,ae0b1c12,14c342d6,61fccc2a,af196054,1fae61c2,9843ca1c,6ec5a163,f11c5c7a,1ec4637,4406f32,67a47c4,c111ef3d),
+S(5024b68f,89c9eb0,fe4e1517,726f2cef,d270ecf8,182dd81d,20d65a67,8dc81c32,952869d4,4a76c942,ac9c0516,fc16b1d7,a0de7bc7,3fb1a18d,a7253d0b,cbd9019c)},
+{S(da34375c,e38127dc,cc88a823,55d763a7,2dd5d733,d9bac216,7c3e621b,ede529df,13426579,db1353d2,8095e1f2,a007904d,5c04a725,2c621ce4,41157aef,d2e28cf2),
+S(ca76f69,937d5d84,659fce11,e1dce556,f450874,5c0e003c,5e474b84,515a7ef5,d2e10042,a71e3e65,d1290d8d,7b5389ea,4156528a,2633ba15,bfe900fa,c5464939),
+S(8d7a5378,92f98107,3dcfea0c,9750e22d,e42066a7,ce3b4d16,8b1e56fd,c8a9b93b,ca32aad9,b5d0b83,8eeebde1,8eb7b526,8169b0ae,912539f9,49a1981,d6065703),
+S(d58ca70a,51085dee,3d1c06a6,13a5a46d,22d1ba6f,6077df3e,f67b33b9,614869c7,bd212d56,451c1609,93ab9ffe,9371c3b0,76a2c702,d7c12823,ee66a084,ee82fbdb)},
+{S(a80dd274,9cb3c40d,af91b91f,6e8b0850,27fae17,96e416fb,8a172c27,d39e8789,466161e1,e9519ac5,e1b03652,cd1ce6cd,1d7dc696,aa59ab5c,565d822f,af427896),
+S(e2313561,865ab364,7118595,e7a10279,4a94ff32,48b7247f,a21d2a3c,906cfc7d,9af6a874,d22254c,f148b479,7d70947d,3065d907,e01f35f2,6f14811c,bb1b36ca),
+S(db567947,4a29e5aa,b6cd6cd9,9e92ef97,21eb61db,37b0d0ef,2807624a,e50f1b30,1132a05b,f945f3b4,3bb70fb2,1ef08fe6,c2d4f18,ef2fd356,73f3c430,6ee73ce3),
+S(3b4569ea,9feb4458,1c89625,5f39f4d8,3f590d39,c50f3df9,1f061019,c8094e53,97fabe3a,cf3f72b6,c1f01688,690cdac1,c92afe2f,9b1a9138,b9951f97,ddbcdd8f)},
+{S(b3dee3f6,cc08c0ba,5b7ba3b8,50469647,34f7dca1,630e806e,f84157e8,2992c765,d523bf3c,6b004cbd,59db62b2,58395f63,d487d6ce,31799ee1,59ddf96e,d9bae2e8),
+S(93c41e9d,ef80a2f6,93cbea0b,c5c111ae,11fd8a86,3940097c,b8753970,e3123733,83a51bb5,849464b3,ee5be4b6,5c5215ed,55e5f157,db8b64bf,aaed7099,497fee0a),
+S(6ac20b8b,6c5314e1,72a39c51,a30fdd47,db16215f,e7ed2283,76f74eb3,718ce734,73b0cfa7,ca3836f8,15ef0ddb,d74ca28a,b83093b3,4ae41a94,e92ddfe0,89af26f3),
+S(7536c8f8,dc949d7d,c43910a0,8007d6dd,8398f8e3,28ece93d,93b95171,7d2a6479,43e214ad,2c36155b,187973d1,bcdcbbd0,58448490,a1a835ae,2f661084,d8370a10)},
+{S(df9c2e20,68e1e333,f6acc6c3,ba9928eb,e761d4b0,27eaa1de,dae18079,29705021,491f455b,6e937f91,35fe9060,a8c5b6c1,60de5af9,ba90aba4,c060145a,da1b032d),
+S(db3f1233,c95cafc0,a5ec4224,2a62e08,745dc259,28b9a938,e6940809,9376dee,94903b4b,2908cd49,95f0883f,1a11d65,880673c4,ef07aa9b,5416de42,8e4ed716),
+S(a4eda54e,c923719f,8c4b217e,2c20690c,5986c871,fad99156,8a1f6614,4d48e91a,87736a5f,e71db939,3a673e7a,9bc89091,2ee0c459,5150b88c,792fc2a1,bad3a6b9),
+S(ea2475a,ac3db1d8,60263b16,aaff75d5,3c68bd1b,da9123ac,951a8015,30961202,2e723212,716c3573,e58765d7,459070af,45a48555,c176af74,fbf212ab,ff29033e)},
+{S(afdfa934,6f7bcc74,ec473e17,f5048650,11c5251b,bd6c0c70,c25cb561,4b004da8,b16eec26,d575cec6,b8720f94,4ccdddd,78a5c446,a0cf286,fd933f6a,999a4a39),
+S(e529f606,84edf5b9,5cd3aba7,233959e9,65639ebd,13c58d6b,c8824fde,3f6e94df,93354f65,e5299a8e,210a94ac,8a871f2a,a7a0a6d7,558fafe0,f67f7c5d,ab304610),
+S(83438a3b,47df9b79,baabaeb8,40ea82f4,e7b6aa6c,49802c24,d380fdfa,2f453d0f,25fd4329,e2ac037c,46025db2,16d1d18f,395797ce,613c8c54,beffabd7,eb17eb73),
+S(30b3d04f,76e7f7ca,9ddccff1,f904b937,dd972f39,11092f75,9070dd4f,f67cff48,b70176a2,30e72a7e,645c2122,4b9194f0,3c38f18,7020ebed,120df9af,588dbf4f)},
+{S(c8e9e9c6,55d9d7e3,16a16971,f7b7ed06,fa5a2ddb,56288169,ea96c439,6a53e01e,3bf36e6e,8cb2f52d,8a7a155d,1b3e4a17,e06ae0cb,b1dec52a,9b5fbb2,9f0b8a1f),
+S(b6b755d8,3e6f1b3,e19a079b,daf2cfe7,22dceea0,2791b200,52ce09a4,d066f196,350f105c,6e52d1b6,da090848,1e338375,7f78a1b3,da3d64f9,eec159cc,ee2c425),
+S(713368a8,f3fe29d9,cb8dbff8,6b74b41e,bf2fa4d8,11aced57,47cd800b,afa434cd,2a99e4fc,a4fa0758,8c6ff4ad,968323d,b753d9c4,42b81496,fb0cf028,e9c79173),
+S(9e8a9fd0,23b165fc,8d95e7e1,39804c07,aad352cc,18b803d5,b7bf8ae5,5f2fb3,dd7ead28,6afc6105,89e1f4a6,386798e5,97e92401,397f8d50,2ad9802,71a1e81e)},
+{S(9d687619,c1c2c42e,3e466fd0,1ad5a0b8,b459ab12,642d80dc,1081ae1c,a8009f58,34fa7382,687f04f5,1fb15740,c31df8e3,145a0908,ac699527,983a712,23414391),
+S(aff756a6,6ea7ea7d,85ba28df,fb25a543,f317f806,f18a4b62,5469ecc9,7e5468aa,b344ad2e,b5cbf601,805017e6,3f8a3d76,99ecfd82,28a9d2be,a7f34436,9e1563d9),
+S(d7f37592,cd207f26,80c3e659,ab26a9f3,86270623,bcfd6737,fba2839a,a2ff3f7f,46a52a06,fec906ae,79a81333,39659e09,7ad928d2,4b9495eb,98e89062,d87b0d3e),
+S(7fa626bb,98c9f1a,84db146d,584aa1a,3ae75f01,1a86800f,21c2ad77,eb1df5ec,c8a92713,ee8edcdd,3954b267,cd1aed45,929599a3,3d10ab09,5a1703c2,447bc9ef)},
+{S(bede42c9,3086c85,d6793a53,5fcedc15,6202042d,35051eac,a86ee941,aa961d84,e0e7ae8b,a657730c,2fc631ce,82b58bca,1dcd52bf,6f071eb0,cb7b9f7b,24bdeb5b),
+S(dbc001ae,137b542,ec96adfa,367531f5,a88b124e,8dda4600,1b14433d,acb50db0,e49c3c9e,abd1e5c3,c5fa8df9,46d7705,e54f594e,d31a5b81,bbc9cf68,d15fd7fa),
+S(e199e2ef,a5120572,b844d1bd,76b2b66d,e7f5d2ad,283d4b87,3dda2597,f739733,9926c3f3,88af1ded,eee14bc5,bbf3310,4be655ff,c3ad4798,5b8e4f13,48f3f5c2),
+S(19df4eaf,d8bea6e8,edef3a83,415a7a15,a2c3a8a8,95d19651,6c0b0f1,1628f9d9,6e36af6e,9f01cd77,dfa50cc4,a647b222,d6503c57,b4b6cccb,7b9f96bb,d68fb968)},
+{S(998c1a4f,52aa78a,8ab3a94e,66d787b7,145fdaa6,4701c0bc,8bab6933,3ca18ec7,a069228d,355e75be,f50b4682,b210b776,95b997ab,12d87b3a,29e87b1d,289de833),
+S(6388dbf6,171559be,2d7e02fa,2bebd597,c373c97f,95d7c4cb,614db1a,9c19a82e,b1d06e7c,83dd9880,a7e1582b,27b3be98,e2953cda,505ecf6e,3ee88bec,713e6035),
+S(66f24649,523c8820,798f6e34,a3c0cac1,ebaf194b,c4c32c84,a8ec5a2d,2dedd188,ec6d60de,74e50469,64ab846,1d09335,ae9f657,bb8b6f7a,85e02867,11390425),
+S(43784439,5667fc87,d1b4486b,f798d397,e6aa598d,be9f6b21,63fd8218,ea7c8490,dcf33b4c,5738904e,6a4a67b9,a6360ff1,e603fc6c,617a7b6b,17095d56,e6eb2989)},
+{S(8c422f9c,4e2aa24a,6513390,fbcd3531,50b28c5d,40ee8add,8c9d5591,6440cf99,21809c0,2c3f1879,f677997,919d0deb,fd8b2d00,5f249de0,e3df9b4e,8df20524),
+S(46f4b7e6,6fc006d3,84e202ce,e1658299,cee653b3,db8672e2,a2e26506,8bfa8b73,d09d2a58,d6c88882,2b2ef6e9,3cd26cc2,4c20f338,50d05e7f,6c937a9c,f8670e7a),
+S(a19360c0,66d42f02,541dffe7,fa9aac94,26a4de5a,8a756643,cb812e66,9be21d42,3dd23994,8e869afc,5ca5ca6a,f51fd836,7c612022,d9b78aa2,4a78b8bf,d48a7958),
+S(53f1c8b6,f62e094c,3a814741,e2c31259,95fb285c,d8e12d1f,9130c9ce,b1eeb63f,9129139d,42e3c44e,f124685c,fdddddd5,ba9bf1ff,5a61534a,d48503c,b48568b5)},
+{S(3cd27c1f,ece87bf8,10e9c382,a0d7939a,de6f757d,9d0178a4,ea486e2e,241d1216,806192c8,1852c43b,d2439452,b42152e,b0f8a728,50f3af8b,be9670f,fc919897),
+S(e00029c9,85a513c0,9eb33ad3,5d0b712f,30bed96a,48eda85c,fc2509b5,99f7b3c0,bc83f8eb,c1bbfb39,981c89f5,7c23912e,780e6cb4,e3a97599,28e51430,a7a205c3),
+S(85282c5d,fe004218,1af469d8,8949c331,545e94c2,3a7782a6,4b5b2afd,7e2bc98a,88f0b05d,4032c6d2,8b4140dd,482fdf9a,724181a3,a1ed22a0,ba4b83c,fbd6a61c),
+S(8e26c183,26188725,d12e7726,9eb3afcd,121c2b17,6d7678a0,93a496e0,9c4f65ea,a574d95,7e9eb080,5f83e417,f145a708,971e2153,a8ab8462,99d52583,8472e368)},
+{S(7e562c7f,87ba4090,c3147469,78bcb59,722627af,75555e0,ded87772,f67a5ef,433effc5,1a6da4b4,14f793fb,58961db1,fc6681da,2e367f06,331eae98,4c1f31d4),
+S(b273ce89,62c52be5,cb23cae,d2b98015,78c7dae3,d10af405,461b4101,c0ff1c43,4ebad439,72b99896,f7f41019,57766925,f145d0ce,59424c8a,6c5cbacc,a3979f16),
+S(dc301ce9,26e82026,38b1fe94,7d166507,642a89a1,509fe1c6,5c13af35,9fc34c11,a7230a1,52c96952,a6e5bf42,c4fb504f,12d2577b,40e8b947,53db719b,52ca6b53),
+S(4a9fd32c,a97ed57e,83e5c712,5b7a2af7,3fa9ea4e,d96ed369,6aa9f0e3,cbfafda0,4659c8a8,b9d5c6c,cbfcaa9e,eb2cc24a,225de909,faba88c2,132ecf8a,da456ffd)},
+{S(9189ba51,a650f218,5b0e78b2,4fc81b3f,95896526,65bb6ec3,506eff71,71399ad4,981c7770,b6d9fe5e,f55f55b4,4dcd4b29,57ee7078,5cd95d84,d59bbf8,6049a067),
+S(8043092c,79a5aa9,c85468f,3e95665b,f7742d3c,78e46529,9fa55525,df768f,5d4df375,eda914f2,49b3755f,365412e8,1f587da9,b444cad0,d3ff87e0,4a7d5f55),
+S(c4ceb96c,c733f959,70fc29e1,6abc8ce6,61edb654,6ecda22d,854552ba,3ddca54c,6c1a710a,f15c503e,b2e4ce7b,341256b5,ab3f5a0d,bf1ae1ae,f47d12d4,9c6e3b4a),
+S(ef2ffdd3,54249e01,63e49632,c12f236,f71dca92,536ac805,70792598,a46f784f,b121fddc,795491b6,97a1cd12,9964803e,68f60f13,55cee300,5d64f761,3fa1e3d9)},
+{S(b381f721,8381bcba,39ce4649,ded8aeed,43d5548a,b1b09981,a704856a,9b2af576,fd401803,9e993bc,1396a459,8270d4b3,f26f47f1,8babbdc,bfcc30b3,671302bd),
+S(9b88c66e,8abab5ea,b4b0e3b8,10bcf0a0,d3987e1c,c53b04cf,9e445f2b,a50b1744,f2f8df3,6fdcb9a8,abe5778e,33fb1912,20b55224,85286f25,3914d175,cf5b85bd),
+S(3da8ba80,a6744737,eb75edb4,3bdce32e,f6f1b74b,bc0f7f36,3cc2f342,209a4e52,d61d3a19,bdb8d194,1ee3e2a4,50d7e87,bd00652b,4a52c415,825185b4,a2ad1467),
+S(a23779f1,b3716be7,82d4bbb4,3d81677e,d78ed041,c2786f33,49d56666,8bfcec02,33b57d01,c3f38b53,d96ebc7b,2aca2c08,66de0c9d,9764dcb8,dce0c27e,f4217963)},
+{S(e2937985,7de31ced,bca13b56,16a2b853,c1f6c915,8ba5b999,405603bf,eda41ce3,bfff0870,88508486,361a6388,b70638f6,7eacd5fc,a1a1e187,93b2c282,d4d90ec3),
+S(42e86050,d6101847,d9aa35b6,45ec7a23,2fd77d5d,c60ad7cd,a10e531c,876187d7,e0a1140,b5e0ab81,79c4a1d9,4e67f6da,ff166fdb,48dd3dd9,4e110519,fdec0563),
+S(236ce23b,a13fb252,ee19f08e,9a3948cc,f3edf6b8,9802175b,67d34e91,b82ca1f2,3b569c1b,5c8aae64,b154565,70d7335b,e9f4085a,a2c7e522,96094b93,f9642667),
+S(aecaf4d5,282956a7,5831cc6a,a2c09b93,655ab061,1556fba0,8b81bcd,9d9284e5,efdd1e5f,f6c357f0,21d1fe01,d8c6f2fe,c2d0e85e,12b7fab3,6920e684,df21e93a)},
+{S(9eb2f66f,e59abee,bd7c1bd8,dc102027,e94890d6,d24cefe0,e0e3185a,d84567da,123480a6,b2109616,2f5c8bba,4c71ad28,b1ef6d3c,c6b864ab,eec3bfd5,15069b19),
+S(e178a416,f501623e,5fb17e46,9d7ae900,1b508178,91f25b5a,83adc565,7556ed18,e0712be6,e78d1a97,452c35a,c19e0459,dd6762a6,9b5ec073,ad1d6ed5,8ba3b369),
+S(99243b08,6c3ba8cc,f44cf61e,c7a4ec89,541019e8,65a04ecb,da7e4683,16b5e883,9fb51a9f,4cab9214,d5247350,10a557ca,403fa1c3,b55d722,19557d8b,df2de0c2),
+S(c33c61e2,5ceeeb1f,2fa47e22,a93f16ca,123235c2,b7cf9af5,e712e88f,808fb372,a72ded7f,3a362df8,a0992be1,6ab23f52,996f200d,b4981d5c,9cb76712,f0a88274)},
+{S(46481a2d,9c09cf4f,e869ece0,3f065938,e144393b,125191de,a52975d6,f6e0f3f3,74245935,50f81ff0,412a2ccd,f0ec2149,a66a61d0,d63cfd19,74a672f2,ba3dc512),
+S(b5d5fb4a,ff2752fb,114a8b1a,c285ad44,5dbcf4aa,fe8f75cb,31bc43a,4298d86f,6f2e10cb,b36e3f26,ca280661,3ac0c052,1fb0781b,214e404,92574c09,8d87e519),
+S(308bac42,a25bafbf,93a6ae26,cf99cbc5,1a643215,2cfd927d,7250a964,bc459289,ab38c54b,5725609,3d83bd6c,1dcd4242,e13bd844,c2b7b6c3,b1fdc8e,f7c1abc4),
+S(b3c63fe1,67804d24,bf0b00f4,1c4a0175,4886e9c6,a9047439,adf365d6,bca491a7,d0a1a577,da95a3e3,6e2657b9,f9804c8e,93b5e635,6e5fa540,4fe8e3c5,5cf89b2e)},
+{S(5111fd06,525fbe47,3fbd604,6faad331,e715cc48,d2851a8d,70b34c5e,35db531,96ffe690,ff3d3901,d9505f1f,a13c446d,4065ce5e,fabd4ced,59c4f8ca,440d1515),
+S(bc12f2be,3b0f27e1,92c9d446,59bec78a,4a592f0e,997be28c,313d93ac,4769fb4a,143f1a68,1f6d69f,66f49543,b131a1f6,c8e3b933,271dd57a,3be9db9d,1f9c31b7),
+S(edc09cf5,6730b640,689c052b,989bf0fd,de56d4e4,8079000a,b4e8eff2,23ab61b3,57f21a98,eadedef2,8ff6063d,53bf158b,c38e1c1f,6df2d6e0,5ff7ad18,47c91bea),
+S(4ba6c933,962ee6dd,7b7a80fd,4102ead5,d94a224a,4236234a,72afef90,3537c70f,f84264af,c8424c8d,77b4cdc0,37f4fdfc,3b1c7dec,f0fd3da6,f696beb0,98b2840b)},
+{S(6d3b19f9,79986500,2f0fe9f7,67efdd28,73839d01,3b7f4cc0,842b0a85,c1934182,b261bd9c,c90bf00c,3ac67bf3,728ef44e,2aa1b660,6cfd4c41,20d1bab3,aa05efc),
+S(b9e6fbd6,bacca67c,d2977ad7,458d006,bea2288f,598904af,6794cd1,dc819231,bfd5bcf,2aeca281,d596798d,482ab975,73b15bfa,db7df642,abdc727e,cf664f1e),
+S(f2e3c13c,8e1da25a,3b05272c,fa653ef5,487ea653,6d55bed6,c9ee0e77,85325f90,7bcae36c,67ec60cc,108a8794,cb24a3,b70c5f0d,2d58c813,77dfbd7c,10972256),
+S(1317a41e,f4f09481,db342808,63d49b1b,dfb2a11a,f843ddba,29499f1c,69cba337,28aa8ec0,ba9021f,c49e90f5,65c61254,3b2e6e0f,57370374,93fe349e,11ea5eed)},
+{S(5a9ce5ce,5b6c4aeb,88f47c4f,680002a3,d898da92,603c0513,d72ae0c0,239f10ca,c1d25370,ef453f49,7982bdc5,d7062098,1a0dcfe7,d07a0339,eadfc5bc,dd0d7874),
+S(575eaa03,caf5e2bd,eea82550,f961b06b,e8c8a25d,a13f912c,856776a9,2c3cd783,732a2a82,da6c4d7c,79f5bef3,9b39831f,f8f79233,f9700346,fabff503,50624616),
+S(b70091c1,99c77e1b,756625fc,de51262f,93e236ca,f48d6f79,d5ad6d2c,1c4eddff,d301345f,3d600128,503f3b0a,7ecb44de,f623c9d6,b3ed8cae,d676cabe,695cd53d),
+S(338ea0d3,6d5d98fd,b95db010,633555de,c9cae973,720ac4e7,bfddc91b,176103f2,bd9e4e53,e18e541e,8ddb1d24,ffbf38d5,d2529ad3,3c043c07,1fe78847,63be57fb)},
+{S(cf850614,851d0868,16a329fc,f5c1afc,6dfdbbb0,ed9278f1,22de3890,cb693837,b768ddcf,f8dbe818,fcda1d41,1133a9d8,5ba6fa7c,9dc85b1f,23b3174d,69e3f33),
+S(e3195ebc,5ee69554,73a626ea,14332378,1da933b0,fb5a1484,da2363d,65cadc7e,d0acda43,e7ff4df9,dd1f46bb,93e8bb3e,ff73644a,e024b5ca,8996a750,91928bd6),
+S(5741cbec,60c5375f,6dc383c1,9b0dd4db,1a6a8aed,5658e87b,fef33a14,2e281580,66e9e972,2a6df27b,24500496,ded7638c,a19152d5,7c7adb04,74125ff5,1be6cb5b),
+S(7e64bc9b,ea4c6460,b9b1ef71,95a4f4e2,5601d616,11ae689e,cb05b0b1,ade57298,bf43d8b2,65094986,324842b3,23fcb1f6,5d0896ef,1537630f,e42b669b,42758a62)},
+{S(17631e86,523e4d18,51417204,dde16c6a,bb7ded2f,2504bce,6683159,63e9b492,cc3a083e,e4622c59,4d934ecf,2471143f,4af9c4e,481866b4,637104ac,d815c97),
+S(69d98c81,2dd5cd4,229eee2d,d82f75a4,986e514d,cd8dd1aa,1bed8447,e5f46fb,7d72fd27,40e91bbc,64a3ca20,243eb038,9cdc46d7,eab75343,8103f4b2,43e9de06),
+S(76f7c0d1,c661944,5f0f5beb,568cdeb4,9cd483d,e5bcb737,2de66e73,cab23c2c,540422cd,994b4411,6ed2d068,5dc78193,fb5b5fd6,28e3f432,ee2d221f,8783ef7a),
+S(6938d574,f67039b5,eb87fbdb,b759fcdf,4fc2c341,ac5817d6,8ea8277c,d4297574,5a2679bc,83685ca8,d3961d51,1a5ea081,8ae917c9,4606d552,620093eb,f399de53)},
+{S(60ad1b2,a075a3f5,fcf72668,cb48703a,f44c3442,23566340,b0fd682c,ae829ddb,534bb9d8,46bd457d,3574e528,87787f61,743b8cc8,e7b9032c,587992fa,c0ca2818),
+S(1d66875f,42d8e75d,5651a635,1db1a820,725a29cf,74e0577d,833bf841,94e9a2d6,803ed33d,2188877a,c2e3d4e6,d78aae19,8d2eeb5e,a9e2c3cc,29cd5214,c20a78be),
+S(cf400141,4811b30,70345420,e23ff7fc,bb800b9f,ea2e18cd,84b1b637,7b59ea39,2b8ca9bc,722dee2e,29996865,93178cdf,16503531,e3885322,d42b0ff4,dd091927),
+S(ff2612ac,2f9925cb,cd76b975,b23aff70,428062f5,8f64a507,28b3021c,6548495c,e3bc502d,6046782f,8d2cd0f3,f5bd7ea,f661e4d8,5eebb56f,cf2e9d78,535994b3)},
+{S(4839ed9d,4a5e9c82,4c6ab373,b9cce0ee,6d8f19e4,2185c791,89b52aa3,52533187,a1663ed9,7007472,8367faff,33ba90f3,620b6b18,a816ff71,7fe8e97,20304323),
+S(ea4b17,5edef6e2,46f8eb69,5bdd5b86,f06231d2,38303d94,c89399b4,af9a4531,aaf021e2,555632b4,da731da2,fb3fa644,2e8c34f7,9ed5a701,d9ff6be6,c3d3e7c7),
+S(62def07d,3b90500b,548c2126,5d65f122,edf17b97,9defab64,3e702276,774ba43b,1caa772b,bd3ecd64,c83d903f,ae57a9de,49649abb,5aa7a21,2dc2a904,e97f9ad0),
+S(b8cab6cc,e7898d3f,ffabaa1f,8bf0fcb6,fb00239c,27f33ca0,dd893d98,b2784eb0,96841107,cdcc5d3b,5c1c9c7f,39b92ff1,5831e400,73762437,7d062af3,4b0a1db0)},
+{S(63b931af,dd8dd850,d9b2f2fd,480e109,14365299,254ae0a7,b04cbc2a,def6a5a8,dddb17fd,8100129c,27b1122,34587e41,e6b47b01,9ed91775,b217a10b,3030288d),
+S(a2a4d3f4,40c5500d,a0cca022,21cea8d5,89410fdd,7782d574,85112d8f,e6ffdd61,adbc7f46,db8b0f29,31dec8a,bdfcf396,96f158be,f6f28d4b,d88e14f5,5ecd7bd7),
+S(242766db,7d3aa77a,6daafe42,1fc02bc2,d78bb495,771264fe,4f9ae1d7,837106cd,f9d7f63,7f83f5a0,6dc4cd42,af1aa54c,821f1711,66bb9c02,58ff6448,de3da6ac),
+S(c089b764,f873e53f,9fb390b1,d802c7cf,e68f8dab,6f2ba524,4e309027,8ea60dda,7f83e920,b2fb47d1,c7b9aa13,eca044b1,7ab67d0c,94767d39,80aff8a3,1d9effaa)},
+{S(ee609aa5,cfe0de2c,45d1df32,707e4e8,d8c4c572,3acabf20,c95e8d12,9f237cdf,27a1804f,d2ecbe1c,9eb1958,d8b7898e,968c6e5,e798b2b,b86b7a55,f0b00695),
+S(16c7fca9,8bc28613,af1133ca,6c3ed5fd,5792858a,73a87773,17c004d9,c88a81b7,7d6d7f8c,4ed838f,7f96a060,32d20e01,b792a729,57d502ef,575e68a6,c55c8b1b),
+S(c2c5cfc2,4e16cf88,af21c30a,2e37461f,230a1401,2a970057,f20e87f1,de517cec,6a6c834c,bf6d682f,b1b4779f,1629b1b7,3feac678,38e34a08,74d335d4,9245c37e),
+S(1c948040,7673a271,23dd0fd2,85de249a,49c94348,75ec6660,3d0afdb8,9edd4642,2122d99,6781bee8,628b27bc,cdc00293,43e3627a,f14e8e23,4a144b59,3ed887b5)},
+{S(a336ba43,9d7ddf1b,91b05a4f,72083cf5,1f8ff83c,15ac69df,7bcd2d30,c645cead,a99919fc,a5854c02,e7246315,477a6cca,e29005dd,e950c35e,7aef7d4,7e4cacd),
+S(211e7055,6cf61cc9,9db2576,20048424,9a5cc104,e818857c,2bcfd86b,35f09d24,f69df2c7,d480cc49,8b605364,e4f64998,a7d26b26,f354dc7d,1780f0a3,324f4bb),
+S(781b8f44,86276947,6dc1b3c3,f0935984,6e827615,b22cc0d1,4e92eb46,4420089f,c49a50ef,3ecceb1e,cc6081c3,7acd7449,73b8c2e1,9bdb9802,f55626d9,129bbe09),
+S(62161d16,921adaa6,5aa8a7c,b3dd1dab,1e32f9c2,e4ddd119,e5d8a321,3e0f262b,eaae5b60,49d51781,ab479eb8,32153328,fce9b678,3778a06e,581fc028,e5352d8b)},
+{S(9bd360f1,9a65f3d3,757a6d30,74e793fc,8a972315,9dda6f9f,f84bafa9,8b70cfd0,d16b8dd1,5937851d,6382b0e7,f6f858f,862021cf,857f4576,2fce65fe,ef5081ac),
+S(820f3f6d,f4747a54,563f4a2c,b1f9a2a3,4454d1ef,c28c4f87,2fa123e2,89a65fea,27a82421,216b7b0f,2cedbe3e,d45d4b1b,c70e47c7,cda3929a,f46d05e6,5b51124b),
+S(37e88e66,33965cc1,c313ba45,6762548f,147eb369,debf6661,c8c63749,afca6d30,c2573a88,f797bf94,cb42d82c,c7e1dd5f,67b29517,f41c8950,cd27f77c,f4c4885f),
+S(39d0df0e,22fa1770,3ebce0cf,753134bc,5ba82a82,b50886af,ddb4afa3,c67a2df7,3a05b6d7,3fef259d,f900ad7e,23ba9ca3,fa0e8c22,75a98ea7,d60d3ef8,5116bb2b)},
+{S(47686db4,ef418446,4955455b,8aa0cb42,9903b2df,9872087f,74923a43,6a5fa06d,997c2258,ba1958bf,6801fa6c,56a1eeaf,2f4d4f6f,16ee1ec9,389569e3,6abee360),
+S(ef85e550,7edfc88c,697e9396,e700cdc9,70a0c65a,cded23ec,97e8fac3,637ff492,7edffbeb,c39d7ff7,90fc479c,704b5717,231b6c17,8a89a032,35b64361,c8f37bed),
+S(4790f35d,c4cfc648,cc011693,d4de07b8,341a068d,b89bbdea,b5dc26e2,49673db,52b2c399,97870c54,98427e7c,3a1b1e6b,58151033,ce11d5e2,a07950b4,c0d6a228),
+S(b4fe974d,2de71dcd,b6000352,1f2920c3,9c898c81,cbe9953e,41db3462,f298446c,f2f7921e,28e06841,1b7da1e6,81442a6f,e5df27bf,307fc5ad,90268199,eb8dae9d)},
+{S(17d69e5a,f192e0f2,693926e2,adbccce0,8aee8656,5b1838,54cb05f2,d8563ee0,ff0c4e1,bf955a39,f8d14bfc,68094b97,6f1f5429,e04b21eb,9a86e4df,d2e11507),
+S(e275d881,a266b218,77523b34,6bd25e69,5ef771a6,b60bc0f9,44b9be13,fcb937f4,50917dec,bfb8c492,97254e5b,32635da0,e16f8a1c,cae44508,546e024d,b91710d9),
+S(594e43dc,498fed,9206ecb,8cba88a8,789f34a6,c17700fe,b0b99533,3e18010b,100741ca,9d03b5ca,a094f383,78da3ac5,8d79081a,1015b133,1ce28e1,821eeec6),
+S(15f7436d,98885865,3d74e5bc,8210a6d0,73e906f1,25f2f317,63636f8e,4d2a5bad,9b7d4de9,b9379a04,edc9b47a,851385c7,ad8263a4,a0f0735a,d990eb70,dfe860ef)},
+{S(dc728a2f,6062da93,9d72b4ff,2595991c,5eeabdf3,bdc7128d,2fc0f25b,aba482d,297fa2d7,8f62f21,16d3a68,e60bebb0,1bedb0cb,370bc401,30062a3c,f5e57c8b),
+S(f842bf23,8f136dd5,db77b46b,7b55974d,dc4f02ae,80d80d4f,7979212f,442f2ee4,fee53360,1c8ae94e,b7fa61c1,5daf3bce,5f8d21db,1b38617c,d9a5d547,58279ae3),
+S(5234fb57,d95b1033,21e67c8e,cfdf9983,c7f134f,fb105e6a,c7c11dbd,95a39d85,85abe819,a8a8df4c,c77eb61a,8ac1536,2985c508,f10f3280,e8585c96,f21fdd66),
+S(bdcd155c,dee8a06,f8d6449a,f43af493,eba8c6f4,e3dd53a7,a7c880b2,155a04b9,be820a74,41ba1bb7,417901a1,99fc9f22,f5d8604c,42f10c5f,7d423081,505daf20)},
+{S(a00355b4,d41ed117,b9ee9146,de418905,aface350,60c02d8f,d8bf4af5,a20b77a,bdd0dd35,cd5857a1,9b3d0a67,a14b6047,acc7ffeb,70cf4409,633f53d5,bd85395c),
+S(3604927b,eb1fa6ac,409d084c,86c8cbae,484e46fb,c9262f02,fc316fe8,ddce379c,5c92529b,1b66b9d2,9b060a9,10ed2da,4637e466,3957349a,83e9ac45,5dc17d53),
+S(a681fd19,69da961b,35aca5ef,3a4325e2,12766646,4f63f019,90267865,1fa896c2,f3becaa0,377d0878,462005e4,795bad58,daaae64b,67b7db29,82d2516e,4c72811a),
+S(1a87a251,7b770c6,705140f7,cea0bdb4,5abc9a6d,3a0bc0c5,1d801caf,907b635b,c18b4034,f7cddf7,b23673d,b8942ab1,93a698f3,15ef0849,b2c4601d,aca264bb)},
+{S(69ae3d10,523302cc,bcbafd00,1f40f48c,b4f918b9,65190983,24cf0479,f9175e18,e9583688,9ae86eed,ebc7f99c,19af452,7d239906,aa96c92f,2dc91f60,4704909b),
+S(18641531,3ec224e9,dbdb0254,f810c2a2,85d477fd,357ec222,1b31617b,7bf51e15,e2900618,7bdc64f5,bb04c80f,7d7ea5af,2adc7d24,57862959,5a598240,219b2faa),
+S(c3eaf844,8e1506db,eb0ad332,b26cb2c6,ed2c1d76,36a445b1,b0af2743,122fcf50,f6171ffc,88d5d448,d828a445,d59f7edf,fc37241f,2af04d39,1cdc4d99,8b3b9172),
+S(2019838e,f4cc5420,37d97952,ac870d9d,abf443f5,56226166,9ce84839,df69e527,a70ac8e5,e8f76443,fd4765c3,84abb1bc,5ab66333,9c4c555d,8dd840a6,7f87049)},
+{S(90014ea0,f76360c0,aad4ec54,8698e053,1445716d,57e7bd8,9ad0c952,b806ddb7,d039a3d3,717a3b7,68822dfc,94c216df,26249d04,d2995fb9,559fc8a0,53b51fc6),
+S(769e1d8f,67248191,113b7ab0,84103fbb,cf4950c8,7b19d6d8,65cafd44,b8bd18a4,8a7d2d69,aaf91be4,d4e86de9,35883b60,8b931f61,67b9e76c,ea43db6d,66952560),
+S(a9ae4006,c04ffddb,ecc638c1,e348a014,b179dfeb,b9e8743a,b2d9fde,1a48ced3,30f74acd,4a29811e,718baea3,11d4f5b2,b70d4339,e83550f1,f4ed763c,52907908),
+S(13f000d,912ade2f,c6a1c2a1,5dc7f3e6,380df54,44fabc7a,80ee4723,ea27af10,6dcd578c,12d35e33,1e202b81,ec93fd6c,30523f82,a524669,2b7896ef,53db20fc)},
+{S(8cffb25b,9df2cd59,a3d5efd2,bcd2f2f3,f96bd063,14c04246,a5c29083,eb08b219,113d1c14,753ccadb,4b5b8991,86c93f02,13c43711,305e7056,fccb8f5f,8f265714),
+S(a3cf6723,3fab81a8,5c04d80a,5118132d,df914239,67a5e486,3f30c792,668fd49a,99274ec7,9a8b0188,a91971fc,631926d1,72923ed8,a91eeaa0,21494bbc,33ac92cf),
+S(470e48c9,18310136,80712b3d,9a673795,91a4a7bb,2e25f6c5,59700ec9,b5f87692,3b9a2d0,d9ddcabd,511336aa,f0c1977c,2e09e37b,96664531,48b82476,6c562b8e),
+S(eadf65bf,cb609b05,b000aed4,98e344ea,1913d376,c0200c2d,e2747e5e,a24d6900,c42cd81a,756dcd9e,687b42a7,2ad9621b,dfffa3a3,c8b7398a,ea0aabe5,fd737b96)},
+{S(68d83fa5,58a5eeef,8695eb2e,409a1774,61d43b2e,81e2d4f7,efcdce27,25a515f1,679ae994,24e430ae,7cc6d403,afcade07,eede7dcd,3d597717,fe93d1d2,3df076f8),
+S(5a55b581,5c824e49,db51f218,913eef58,e8a666c,4191a290,b66ffa0c,abbe6546,8674ef7d,9ea73c1d,3a3915ba,e118c742,fd4d4e88,78adaacd,699963a,5eb9f796),
+S(48d7425d,376cb7d9,d32b164e,920cbd7c,e7d174c3,7afc191c,66267221,6ab5489e,d8ffc4e8,29de5c69,dfad7fd2,3353bc49,a6e4fd42,c31a4b8e,16bc0bfa,ce26be4e),
+S(ffd5b298,ed5a84f,e58e09bf,8df83308,3ffb4a1e,8c5ac3f6,1e594b03,406565ce,f56678a7,fece6530,6ab4a556,d7bdf41f,353c5470,d2b6293e,a97bc396,d8ee0fcd)},
+{S(3432345c,9df2e165,daddc0ce,9903a17c,2070e055,748a0695,123971ff,440a92d9,3b05179d,dfe73d48,4477c69b,434c05fd,55ad860f,dd286362,ac39cce4,5b7e5c47),
+S(abe99ae7,698019bd,66615a5d,7df9c4b,cb498915,a868a48a,25ff29ed,747cff8c,f9b3f71,113c791f,b3353724,a812351d,3988b8ea,3a93821,db26631b,6907ea72),
+S(4c493f53,3d4c0b6d,17fac73c,4301a054,75353360,1536da94,bca3b454,767b86c8,8c9743da,8b125a52,20a493d5,2c31440e,e1fb6fc7,dabe35e,7ac97c1c,94c85e0e),
+S(2b73a96e,70fdfdd0,ffc601d4,9d78282,f997f73f,eea4ad75,f8c5d753,65db2f2b,994d51eb,c58dcdfe,a5fa01f7,522e5d70,1c21b325,9350b7f6,34c75fa3,1d4ab6c)},
+{S(bd721cf7,30d8cfc2,3bfd5778,67f40847,4fa01225,ddbf427a,c7cb73d0,60046af7,62fdc9aa,b8836c11,89e4cdc0,3d1c6c87,927e36be,2e4d55b5,76b1e6dd,91d7c11a),
+S(3c3dfaad,d52f2531,cd835de8,b40a005e,aa2c015c,40366487,962d1363,64f4fa54,a2143a66,a76e30e8,150918d4,1d9eb97d,a69694ae,c426b6c5,5125f88,a22e9ef9),
+S(bc075398,462afa25,57c6bb69,b6cc9ae8,75a490e3,e7c65b06,f7d70efa,166534fd,47309e89,1e0c1c68,c6a5532b,b34989d1,658f95fe,7dd7ce94,d2346e0c,15936758),
+S(407ef9a4,a92a8471,400e2bdf,7620796a,410c648,e5a12c41,6fbab33e,2119512,60a1d1bd,aa7a7e88,d67b9d50,b20cf09,7888d0d4,5c83a55d,4ae93dda,49befce0)},
+{S(fd8ea149,749825c9,1fb53bc0,329e218c,2b49f62e,a56e7637,730f766f,527b7981,3c4cdba,1c38f4a2,82864b88,a58300bd,d885780,c63ce34f,4c7ba30c,5c55147),
+S(e6163d4e,af44e81e,1e32226b,cbd676dd,1e299b6c,249f4fc9,b2706601,ae17f754,4f754176,cfd4ca24,b7c14b79,8149cb8d,40809aae,57a11764,4eb43e6f,22403d84),
+S(c23ece67,f8260a8d,4d18b1c4,14ffa33d,d93b5a19,ee0903b4,c4765c03,414a17c6,8b448722,5b20ee7d,fe6cf78f,7220822b,e8afdf97,190511af,ac225a8f,1da22526),
+S(3a73ac57,746f5de6,7deb557f,2bd4686a,72c69f2e,b9b2afa5,d8389719,5f955da2,7fb97414,c9738999,51310a0e,85e1e92c,db326de3,a5621318,6ad34638,832112cf)},
+{S(c6188e3e,4da144f1,a71ab806,22998e3a,cc580ae8,28b08c4d,f8ad88f5,5d0723e,d16037fb,b08be935,f89b12a0,810b2574,b7b0f9e2,5039c610,b60267de,1e8895cd),
+S(f4eb0af6,b09cbbde,4203443e,2db7cd74,25b3aef1,4bd470,84fc9c6a,7781c45d,84e7dd03,9d221757,d29ef906,efc5124d,7d2833fe,b0d381b2,1d4a1e25,45615bb6),
+S(4457652d,9123f6af,79613e87,eb90e62c,e4c7b4a6,3a5b2b2d,b183b23d,bd659f12,c3879b4,c4f249f1,f0cb1a52,874afcc0,46ed7c4f,5b346a63,dd798d0d,9179c3f8),
+S(e5aa444c,ba5c8588,33e215c8,a521c552,bd6a449e,a202d2f9,32dbb6e5,4162adf6,111a1695,e7513c72,69e65977,3171da1c,8727b590,32de1df2,1d0ec7ed,67f5c16f)},
+{S(9d12d4d5,8f12e305,f34f165b,c5f000ef,823e4229,6e57a67c,22f3f2ec,bd5c5f7,f8ea4dc4,131d6d1c,d97bb52f,1c03a060,f1ca0af5,71269506,609f92e8,1409dd24),
+S(1960c8c4,f9eae197,29769442,a86fb7cb,4a4ee4db,a577001f,13fa0fc6,342ccbed,dec5c3f2,9fa2f71b,992f3aa6,213f5bf5,d7c8a0d9,360c25af,b35f2bb7,776fbb74),
+S(d5c94e32,5fad15af,bf295b61,900bb004,51cb568b,ffcd7f2f,c04e0f00,5a596114,e44ccfda,83eca7cf,babf25e5,9be125b0,c04c8130,4f188706,6824ce3a,7409a551),
+S(db1b05d,cdd99edd,c6645c81,47aba91b,dcd1ae44,18e4a5dd,94812318,fe9f1e8c,f9818f9a,8b094718,2b88fa1b,689d1495,e94adb67,6e924637,b8dcd799,a1ee3262)},
+{S(7f07a821,c2102e7,c726a07a,892539aa,85e5e3ec,6f79691,37d79611,43b79b75,63411bd5,5ee5f782,e1d2788a,317d8689,6035663b,68b96438,711e74d3,aeb51ef0),
+S(37d2f5b7,c66b5439,26e89aa8,f265679e,3b213098,6467fa97,27f365db,ba93c0c2,a1675968,10cf3f94,84455ede,f6ccfdf4,afc726ee,3561c081,8e535f74,cd324cc),
+S(d041cfbf,b5f525c9,65fa7741,25b8f9bb,cda162cc,2b1f280c,a41065c0,56474a60,34c757e1,b819fe3d,fd62ba93,801491d,d4c1d05c,b973df22,fc64f23,1cc68550),
+S(c640c211,f3004673,a3d8ca66,a18872ba,bbc1dacd,61347d87,78bb4d04,4892ab83,ac305f9,8a267919,68214e95,47d64d2a,c015c740,5619a73a,162287f1,55b1ffb1)},
+{S(760a6682,57ae7b8a,96c5c769,9039a102,cbaa111e,ad076621,88a45a4c,168a482a,ac81a374,c2da5e80,d22db86c,37302c9a,1b154e45,122f9d3f,b5c59b2,bee89a36),
+S(5770bac1,871c8262,b4fff00b,a7520d55,d65bb0a4,7c9598db,3fcfee9a,27ff2763,825274f3,44421047,2390a3f3,a7b98de0,ce70bbf8,6d7241ca,a93b5955,24ae94db),
+S(9432cd1d,8a62e580,16278ef2,c1ea2703,e628268,3eda8ca5,bd1a718e,6de864d1,5c7e685c,443bff0c,1eac25e2,489d0c15,eeac20be,bbfcb62a,a277938a,21901056),
+S(32fa8231,6af1360c,9a58fefd,baf51580,6860463b,7325443d,ee873f40,8d7b8a26,b9879293,6561b733,948a7b6f,535e4699,515a442f,1006eea1,999be950,d2e04295)},
+{S(8f2a3f96,165eb6ed,6e04a3c3,6bc98bbd,8e224687,7e1f5279,4b9457e8,3a098653,cf4e0357,cabc0d24,b1eea14c,1b9bc9dd,e513584d,4d476a02,bfa3305,f9561360),
+S(b590c88f,653caf4f,ef1395e4,3438781a,594966e1,fa38d019,c6297350,7cf9e142,b5f13a30,c368d049,7c3dbcf7,f7b07a19,350c5b32,248fb27a,a2a9ba33,5dd18a11),
+S(71836bce,72f6b823,8edf858,ea84f2a2,4a0bc6d1,7419d751,e14a4813,bc2668d6,3156f04d,c1b89f36,1e7c878,94b92a87,2c63898f,38cfa4f0,48cac403,ca57fd5a),
+S(1996fd72,66c764df,a93b77f5,c158a41d,adf46d38,ada30dca,62919df7,ab256fb,3990ba0,814ff4c3,48822de7,a4e67059,242d4990,78bdf784,28dc6c97,f66ffe48)},
+{S(fec456a8,6cd530b,d0512eec,301e3ef3,d5537be8,974bc23d,60e2efba,71b55ce6,bc77af1b,426e3427,6660dd70,2ee322ac,d1e19d0a,7b1d41a9,8bbe3866,9d087371),
+S(9cb7d661,759605b,2237d552,e4967b9a,986fa9bc,8a602343,edcc429b,1b20b0ed,217252c3,1413ebaa,d31cbd1f,d0f6ee4c,4193475d,581806a3,6a864be3,918c9f8),
+S(d95a3a88,9c8420d2,fc6b4d65,7f868305,3ba7888d,c946973e,647c6acb,82f4d86d,d7f4973c,bd3ca3c2,fbed8b4b,e78d665d,8140530a,ed5b81e0,c5ca04b2,c8cbb617),
+S(8cf3ceaf,7cd77738,d6941ed3,3215ccf,cdaf13dc,910f126e,43356a45,bc9c2822,833e822c,cf90bd9a,dd06b052,dad6b73c,b5ee7678,c1a5e35f,d3e851bb,a9a9a6ce)},
+{S(a258e5e6,e1aac3d,707c5567,a9caae47,1b21224b,87828cbd,537f613a,6cdaaba7,d349347,e8f24cb9,1202c076,6c7247cd,e2eebe9e,62baeed4,aa51191,522c2c07),
+S(f654c148,6e9e5a4,2ecd19c6,9b42e27b,94f3c3bb,3407b584,42684229,da0bb67d,cac5b906,d0665fc1,d7efd4f8,d1927f4b,98b9199f,69ce7614,b40ef0fc,dce340a),
+S(f30d89a3,a536db35,b040eda1,5189a2b8,166a9e06,4cc92952,386be62,2f43f389,79ace00,4153547e,bbb903be,beceeb9,a916135f,42cb9a29,54817f9d,cb11deb1),
+S(3e6e3577,bc22620b,e9a97210,74bb4bea,97379d57,bc1ed61a,33882224,305e4e1f,f634a97a,2e483822,3c4ce4de,50dbe0fc,117ad913,c3dbd75a,69ecaeca,1d413d62)},
+{S(316c28a3,63bf9651,2cd9f688,1bdf7430,dbf7e594,e6a7cff4,bd991c18,d2c0833a,4222087c,65b29e96,7c2562a3,4a491c0f,5ab5db22,2fc30d37,4c1157cb,5bf17741),
+S(3384a50c,9f621970,2bfeb9f,5b6259ca,6062004f,b4375f22,22259e2e,ad496236,37afa3b5,23a6c185,3817cb56,e5f87e20,5f57f186,75b66ce2,4c1cb55c,fbe63b3),
+S(32082a9a,45f6bd5a,90cf0efc,8c362da6,5f01a679,2c735f2e,a14346b,984279ec,fbfa9371,7ea480f0,a05c9de9,f6a50ed4,5a36b950,fe837c96,b8eda38c,1ad79b9b),
+S(d7d044cd,fcf11946,97c63a98,94b56b2d,2b328eb,8fbdb2f7,f919479,2da1f0e4,46da7078,4a495b7b,e839d3c8,10cd7624,5f501685,15661bdb,4e786135,271453c1)},
+{S(3ce0395,6908baa4,1efed22a,3cd2b18b,e14bc3c,a17e8e46,7f757e56,5314f27f,fce17fc7,7d007d1c,25558760,d730019b,22ac9cff,6f4ba689,a1885b2d,5f0d0440),
+S(2f5a7352,11a250d2,cb126237,c2c8ebdf,e9d7c628,9a319903,5a1ede18,b585cbe8,e3095320,3f1a2cde,eccb1e9d,5be869eb,f447471,9f7670de,f1b86cdc,fae5da73),
+S(e86666e2,980948d,28d2baa4,c4a49d55,fff25b39,55695ac8,11ccd6d8,f882988a,823aa73d,20c0f848,66a8c63b,5631db07,b8a15f5d,90d79e3a,16c4040,a5106987),
+S(1b1ce843,955f9c8c,28dac111,5e8a357c,dee3b723,70d1cd36,9d03a3c6,1b7e7342,5f8648e0,4965445d,cc8d6917,db45d7d8,3145d7ec,71f6e117,8e773724,a39e784f)},
+{S(feeaf523,3f208ccc,11478774,bb05c1e1,cc7ee923,32e6f84c,970a0579,aefcd4f2,47f6e6c8,3e5bf7be,5743f776,e607ba73,a83ffbc2,f1c581c5,c0cb1d98,b10be58c),
+S(42086c81,d2685972,b69cc8f2,8fb8e949,80417664,76c11dad,1afddef7,773d72fa,b0e1b1f3,79082879,512302b4,1314b3ab,5a3f739e,aa8ac1f3,cb82ebc2,c2f9d13a),
+S(5f8dd0eb,57f8a8f9,d1605e28,987aa1dd,bbbd05fe,8ae2aece,48fc6392,3bd6,c7daf790,b90ce9b,a73a3c1f,4b30a508,d41c0d53,f375ca86,b0ba2901,dd9ad482),
+S(c92aad54,6d6046c2,4606c934,63391e5,a13be77d,e3eefe17,3b0011bb,129d3ad3,288c9ed0,2db46521,c9249b02,8f262b1f,9e684530,2cba4ae2,506025ad,ca0b8168)},
+{S(e3ee8330,33377c46,d51c8aa0,7919485a,ce3c3969,e533150d,a3e15479,f26c80a6,f757943e,9569814d,1d6bbb71,55294783,500c75d3,7510ac98,18497bb2,9388ca8f),
+S(95811875,6d6505a0,89b46ec,648a2297,de391535,d3873b83,a7db485a,1ab8ae01,baa7fd9e,bf67d8a8,c1ac73dd,69bf264f,e0da962b,e26ce223,dd3dd5b9,8154e3a4),
+S(1ea76ec,a1955521,2aab3141,173ddc67,8463fc79,2e887297,a713fea9,b6064fc8,c8b34073,8c73318e,d757034e,c947c5b3,ba7baed7,3eea8ea5,2c4d5b37,6186e283),
+S(38281ae5,371b347f,bec1e9c7,841cb3d1,5a7ddfa7,684e9e93,e2c12cd1,acf0ee5d,8bf4f92d,92fabcab,c814e790,21ade825,448ffbc8,782ed1c5,60c72149,67fd5cbc)},
+{S(6bd00cc4,657b1902,51f8dd4b,9bec4668,b0c8cfb9,651395f4,8badda1c,a1dbcd3a,84d71092,e37a7401,810b17ec,3e0e4871,27c4847c,afb24d91,241514c7,779c61e5),
+S(804cb958,a76c7348,17a62e10,2b1247f,462438e7,b0b3a96b,c202dc5b,c18de9,c775f60e,9e39fb0f,788e4447,fbc40690,ccaef5d4,2e9d7e89,e6ae41b5,8fd2fcb2),
+S(d1050190,fb46792b,c29df9c2,5f2b9e48,99125548,336115fb,b7449c74,681c16ae,d677925f,e9448af3,76734c13,af2f7433,a9ab84cf,b7a6c4d5,d6091afa,766d878),
+S(b81ee327,adb39987,c8d65543,7b7c771c,9061623c,bf36da42,ecc7c226,4ef708d1,6ec466cb,a3a52bad,a9f3f7a3,6ed90d4a,857a3570,610023a0,94fc5107,df2056ba)},
+{S(725d64c,4128d78d,11b4f7fa,eb9f04fd,9075ac9f,e1129eba,8544c3f6,685ebe04,36eaba03,94b7511,31a9c5f4,292a7307,1862fbb7,c43fee3c,1e5eadb2,7fb65db8),
+S(40069204,ebd45314,a4d757ce,5a4020c0,e36f3bd7,fff73d30,60628b53,8d685861,d81134bb,5ebd3d7f,10a90cd,369ec3d6,9cab48c6,f49e5583,d766aae0,4d466d27),
+S(901a167d,19e00cc5,14b3b724,759efa64,3eb7a8ce,9466eaf1,b6fab1c8,63b6f9bf,e100d9d1,e1451f09,2b5c1761,1e2d2376,75b1c95a,a71a052c,e7497a63,a9fea105),
+S(f0fabd37,39f53d29,801e00e5,304cb5d9,a3553226,fff9ba5e,c8fe1030,26739c1d,cd23a575,ed09eac,f8446c8c,7f311ecc,78acac27,3a0fd6f7,988bdac6,361a4678)},
+{S(8f4e8dd8,20d7e026,ce2fba81,19028ea8,758f99ec,f7bc2f09,d239d60f,24027c9d,81b9197d,7374975d,1bcce80f,1a8a1e84,19a7a656,70a5dc21,49b00aa1,60055743),
+S(e8e4ac24,1b8568c4,cec4f08a,9badff38,87c132e2,47add60f,3c39cb7a,8905027c,89c74e18,74737819,6fe1a4b6,3b2893a4,865de0b0,775598f9,33504aa5,ac453a91),
+S(e6a8a510,f7316ef1,4e50e9f8,c8843220,c03df75f,e508d820,f3fa0dbb,5e9d0f94,1ecda600,14fc8668,32b1f2f1,b80ccb12,aabcbf94,f74f0a6d,dc6c692a,a20040af),
+S(752c8264,bfb10ae3,aebbf561,3f65d191,d2956e3c,a7578e53,2a8b85bc,eb1d294e,1ff5c140,6558073,da1cc7ab,fa80d4c5,d557612e,c990206,6fd895af,11cd493c)},
+{S(9a9a4dfb,615c1e79,c2c19a19,34300742,7329b1f2,b7ae815,8ed8ebf1,5878d02e,39da7ba5,f1b9754b,e6fabbf7,a45b7ea,5cbcea2a,da2cf2bc,82aac66b,468af931),
+S(14159eba,90d658df,ff2a3726,9ab60c0a,7540c68f,a77e0339,8caceb5f,6262d656,4497a299,27b365e1,35a77f61,bb6bac74,6918e3c6,79f97021,972c6013,d8109e6),
+S(d4d3e7c,2ea5fb74,45160de8,19bec4d9,bc843b9,fc14fa74,6c0cb842,1b02a765,b55606cf,557bdebc,90da9255,f6a38a95,5ebc5998,bf021708,ee0a91a2,147ac684),
+S(1acdbd72,130fda7a,122e015c,f3101670,d8090193,828710bd,1ff2b242,5d3ed896,b8cc1086,347ace8d,858ca6bd,56a80125,7d0f4333,b26541f,9865fb44,c5f349d7)},
+{S(93871b45,831fe55e,82338224,aabcb408,26c13f29,64c57fd1,b93711f,4ea53cff,79303c6d,1a8054f9,d66c5524,8ff9cd8e,17b5fdca,f9fa4388,9b0055e2,15c0a54),
+S(8319d182,59cb7c75,228d314e,7db1db16,e34c9f62,2bf4e893,f06f86c4,3122dc51,5cccb4e,e295cade,ee396b80,10f6043d,d9141412,b8eb4216,60f9cc63,ee96f6de),
+S(1d139778,64726f8b,7713beb7,6066df5d,d5116728,d5688fee,e20fa12f,14f9857d,3fd0294,d9ba6e7c,7a08bd63,d747365e,eadabab7,5ff1ca8a,95174569,c6fbe910),
+S(a2c17270,296ad5e1,7ce111c2,899411a6,276efb6f,d6794a7d,212fc3cb,7d9fba31,b0a2e976,582022a3,a2c636c3,2c0909fb,533bbfa,193f8366,e65702c4,e0d8629e)},
+{S(24b75440,39c1351c,ccceacda,d31c758c,206331da,87a277ea,588a4376,82dad76b,854ebb44,a351e732,d900a1de,dbb0a5df,168a311c,4af01dd7,64722531,a3132213),
+S(c89cdf5a,c0bae450,ffe0bdc7,f01ec47e,8a036cc9,43e0cd72,245cca5c,308d0087,e54935fb,6eea8620,a8b85fa6,d63d14ea,16c2edca,92fd6adc,7feabc35,91599acb),
+S(255e5f4a,2bc33aed,aba2b7ec,b22ec225,30d3bb21,f7a63be4,bd5e2f6d,ad48e927,79cbe440,8da8c79,74bfc4ad,2715e2eb,eec2c950,8a01538,be795d21,c462b208),
+S(e1497ffb,ab348f03,ea075d4a,bdc3d5fb,b2b9b413,5dab5190,2d8e1959,2be57e00,e3194cad,50cae1f3,7e713ad2,5bb635fb,74f6cbbe,83782411,65a8dbb6,ccee6faa)},
+{S(b9ed5a31,aaa443eb,99d8afea,7b32b81f,5860946a,5a5e63ae,def2a6bc,25c43f9f,e5bf15af,3e0a5fd5,12a14a6d,e03ce09b,a82b2fac,6fb8e16b,708752df,95f080c6),
+S(45b0720c,7c7a16f5,9e07c7a2,b9f79ecc,194c4497,2a076bfe,cd662189,f51b5f4,b8acd754,a68d90f6,928fb515,d51d5c86,b86a832b,1506a251,447430a2,f255bc8f),
+S(8a4c2587,cd27e533,7d848f56,43327489,19d3aa88,6d4b944,d4d44689,5cbe1ad,581ce4f3,7471bac8,9e904daf,c42013f4,2451a155,6ba12aad,deb02653,95926838),
+S(4cf058d0,f5959eed,87402967,781dbfa4,29df9de1,327633f7,a6b354de,ebde5aaa,9254c0b5,709fa08c,684a59e1,1864a10a,3c4e9359,dd91b39b,15066b2e,e678a1a8)},
+{S(49208997,3351bf26,e5245cf8,afc6a69c,baa24dc8,5565ef5,d39e6a05,8b3cdf17,a4276fd0,1f754f88,11bdd14d,d1ced0d7,8bb7843f,a876e7d6,9531c223,2e9c9b4),
+S(7b098cf0,f897637c,cd32c99d,de95acd9,2e05bb47,b16a58cb,d5e97827,734648f9,1d4e7732,2c99b9d1,dd330ef6,e955138a,6d0b606,1948b067,edf1c39b,61ab0505),
+S(222b1686,82ca8f4c,b333da8,3a1f3cfb,e19f9e3a,8b597ceb,ceabd65e,720af23d,7278370b,c722a13b,d90164df,41323da4,6cb7b346,3c1428f7,265cbfd5,6d0d8d35),
+S(97da8a09,8a3507b2,b5f330b,b405762b,cfd5c631,ed835bb0,842ad75d,a2175c31,5c051aef,a278fcd9,a2e230eb,993fe8da,f0c06306,14a5a6b1,799c0cd4,d3911144)},
+{S(265747dd,9f0d0396,faa54221,4a050192,3de7d376,f13768a1,50daa098,92ca71d7,412f5e39,db7cb201,3d083c20,19ddcb27,2ffd0a0b,89413e81,7718bae2,f1120fab),
+S(918a2f6e,863bc4fd,87b5db45,15571d62,50e87c47,fca0914c,2b76d9df,185c0a32,a5551dbd,5c739407,880a5487,8ce218b6,766f0553,78f1a053,179ed3c8,3f362ff6),
+S(6da6ff1b,ecb936d0,1ea353c4,ca3f949a,90153ec9,13329206,8b9be293,ae28998e,822ea180,8265bfb2,3fe6c6c4,51f62245,4185a813,e3f61604,c89044e8,555ae0a6),
+S(bc0730da,9a06486a,99364ded,b612fb7,ac36cd21,466f7acf,e0be262e,55e0d269,7cffd8a6,13cf43cf,7eca904f,96a9e9dd,8b54dd22,49372095,95483592,64d7b8a0)},
+{S(96f6ae9f,84281919,50583f91,d4b76ec5,3c01dc20,6d06d33a,2560a8fa,11fe5daf,aac32455,acc71276,efed23dc,ab42fb8c,24bd18da,604b913e,bdd1318a,d1bc223),
+S(f24cfc1a,9a29848c,f1d996d0,7fdc3ee1,ff14d1a3,a7811f18,e8bdcc47,a7806534,e0e4363d,2a227fc8,2df704b5,316410d3,a671ea2f,34702c0,7208fb27,6c1d12df),
+S(1123af94,e86f2def,561f490,94ab160c,996f1955,dc2597f8,fe765c2b,d4793679,39d160a8,caf4b2c4,e4e95087,6e9a3183,55d4da27,9c7e2429,9762065,af62b2c1),
+S(f5b8a7e4,6d4b110a,46d12dac,d308dad2,3f7f497d,b5a8a76d,c9577da6,f0943430,835941c3,b12ead86,6ca3f05e,c4b09953,9a8ab640,3e450590,37a990c6,88c1922f)},
+{S(f307f4b,b76a7bcf,1fe75d85,60a4c64,c748b32f,489e30b6,170057ed,225c9e95,fc200ac2,3ba3be6d,aa4d4f86,c89fdc5b,8eb00f8c,ebcf6a41,51411042,ad181fb5),
+S(dbcf10f2,e43ae854,85fd600d,ca9ab27d,7ba393d,e6a333c0,7901cfc4,55352569,48d4448d,8ce674df,d254f09,17fdc390,de9aa8ff,29869da7,4c2529cc,dd476fb8),
+S(38a07202,a23d26fd,663fa7e1,8e8a02a9,2631011e,57731024,3e717ac3,a0390078,fb6057ac,aa4fabb7,c4e922cb,ab2b7fb1,e4f0b3a7,6be215f7,7de296d3,ed709def),
+S(5bd3e7ac,5f8619f,5db77e69,f7416149,b4afa5c7,95d25fbb,fb1da1ad,9e4617e3,9ae709f0,d7278b4e,b66919b,c666d63b,46bc228,8ca956eb,2e20238b,24725d56)},
+{S(35e48872,5074158a,8d2ed392,d178f6e2,e4c43fc9,689b32d,5f374c05,d637a53b,95143742,7bb0105b,5e7f60f2,d95ff164,ff808b7b,c2ad592d,68988e5e,bb5d5679),
+S(8619863a,d49d8ab5,6c999e77,4653e1a7,4acb7a63,edb65840,76f3b3ae,903f3579,451500a1,3dac87a8,ace7fe4e,64dc6174,896b5002,67163bea,1d3db275,b8274cc5),
+S(afeffbdc,dede5aaf,dc91475c,100918d2,f59039df,b5754f58,a330a469,1855e858,e05eacad,fe537099,35be0173,3d4b4dc6,7674d1a3,7d911d02,ea4f74f,6b63da04),
+S(2b697c1a,2d2de701,16536722,945e46c9,21f02fd7,d8e9fd46,8fa9f159,1dec4273,6dd6ad5b,44541355,83b4833f,10de56a1,ed16c5a8,77d593ed,2538b95c,ce8785ef)},
+{S(cce6ccb3,fc1cbcc1,1f40457f,25157d24,6d3fefa2,24c340f1,ebdb3b02,3f02e3cf,9797a15e,ace0c660,eb93b185,7f6de7de,2d1d0f36,8c9a2eeb,a53b2860,b392bf2f),
+S(71e75cd4,592214c9,556dc1b7,a7c8c5cf,77ab0249,a6a7ad9a,378e3e5d,d150939d,4e0c9607,c1b2866e,214f38e0,d4759bf3,b38f1f7a,35490b6d,70cf2e65,fde90bc4),
+S(dea94d9b,c0222c46,c66012bc,91a3be34,d5df8157,56a9d97d,52c8c4b1,24ed243c,b3df667f,2615a0cf,2e7c0122,63af5067,b47d8cb,d22425f2,1bdba132,5e333588),
+S(67bb4796,c88ec279,87e7d4e7,bd2e4e9e,bb1806b,95d3d8b4,e1a5d367,64e6d01,2af04b47,62d5a122,3bd0fd46,49be2b1d,92df5d8a,84ceb205,f2b70f2e,b5679290)},
+{S(86592c40,71b619fd,27e3825,ca585cdd,ea068958,7b59e3bb,b3581075,a3cb8a96,923844bf,2a197b85,b232b973,2922ce0c,a2431dc4,a59d27f0,2ff3b2f4,af7703bf),
+S(e82a2871,fbff9467,96109300,26ffb096,d9509b43,6e786697,e85c57b3,389f4fbd,7732b419,f0d682a7,9ab047a7,d4a51685,fcaa3c8c,cd8115bc,4f7514f4,1717c804),
+S(9c079fba,32d2288e,a0829fa1,1482dbb,8032397e,c676d744,c7b0ce84,a1c4f539,2b171739,85fa643a,ba7314d3,86f086c0,d4884b63,4062a4c8,3f7f05aa,575936a6),
+S(78ea5f31,1d3c1943,e438601e,a885ae8e,efee93e9,26768d82,3e88a71d,9c22d773,953cb0dd,893aed33,9021e63b,277cca61,4d772c7e,a2b8ea3f,bd151b14,5cb144bc)},
+{S(4929a368,f9842917,73f5236f,dd5cbd7f,a8e8dd9f,261cbab,5948ad57,798cbf79,26a2a40b,33630e55,7b376fd8,134a8d48,542c08e8,c2d01a99,586d33c,66d37426),
+S(bb4b9ce4,b8dd22bf,2873b2de,f29c494f,621d89e4,aebf3c23,566e0cd4,b4ffd288,d4f81742,4f778966,1274fc8,e8aa5c54,4434fca7,6b73b639,a04aab65,8bb77c2f),
+S(6ff70715,17bdc2a4,c0267caa,38ca96ad,8a235744,2a24db87,a07cdec6,c3b022fa,2f16b295,a2db7a6d,321280c3,a53dfcf4,674dc215,38e2a556,75cd37e5,d3ee7362),
+S(b5619c5e,edbc92f0,c88a9cad,9955a08b,764dd683,361bb7f2,8c611857,d473c45b,11f6864b,36116181,d2af3f6c,fe738c84,7820ebe1,53f0c82b,14e5c67a,b3a2213e)},
+{S(c7452697,d7691662,ae3b754c,7be11df8,ac70cc8c,e2e80a9b,9638b0f2,a323ecd5,fe84e963,3231caac,63a5c7cc,90cef693,a69ea140,c846e1b3,b96a6fc6,68b43c68),
+S(c797ca59,95cda70a,a33093bc,4f7f83c6,1a31ab1e,dbd6f10d,31e0da05,64f41407,ce4a64f9,ae7eef1b,7abfad94,f4a6a7f1,c746268e,9006995e,8f7d311,1b81f85e),
+S(288a2e26,8fb8fb28,29bd9d21,4ec5860b,fc1ed577,f40c6184,79a0b921,c2f4b67a,8343d03d,556bfee4,b66ca598,f4fecbcb,aa2723c2,f3c35203,ee12710d,d9ff0b52),
+S(7aa02a72,adefd779,fd994c77,697ee142,dd25d168,38c8b8a0,5178b7e7,37f33032,a060f7d4,8e0c2929,864208a7,1668129b,3b3908c3,7e89ba0,e7e55aa6,5e3ed98e)},
+{S(34925d1a,b1c7c081,e945d66d,60ed394e,f474e38a,423562b3,95bc51d4,c4f55321,8ef8dd58,ae1661b5,a7c327ba,ac4105e6,d02d6a30,2263c5f8,62b712fa,b064e562),
+S(2bbf19eb,9a6211a,7881c7e0,5483a318,c9d91280,d09e0634,2a54a9f2,b5654be8,3cf7b41,bfab218d,e182cf34,32450abf,88da1e16,fdb79699,ecfeb962,39d422d3),
+S(97f1b30a,6ce2dd8e,1d0358fb,45b432fe,be6d9916,34ecc7a4,b7cb4f3c,f1663fb8,c7cba22b,88a5f5c4,498f0f22,cea6830e,1bb44e1c,7f9d9833,60139c2e,97dab7da),
+S(b5d0e718,621a0a40,c2adf34a,3e1e64d6,bbad3598,e6944436,f8f87450,575d61ef,2e43eb70,8fb8e2a0,f24a1a12,7a890c07,d79b51d,60e3a281,649afa3c,182d5b77)},
+{S(463080f9,19ecd42f,593dc20a,2d3160cc,74d9592e,446f299d,be5446f4,236a5b17,2a65200d,e1b16975,9d5c75d6,fa6c666,ba45728d,343d6339,48233391,60c14a16),
+S(547eef23,516851a2,2f160ec0,781a49f1,1480d07d,2607ab5a,89656c94,2f774b5a,eb6f249d,ee624cae,cbc59f02,63da0fcc,e33a515c,843c3632,661f13e4,39c4f0e4),
+S(77f0c9a2,51d48b39,62f92e2a,679fd9cc,f458f17a,edf588be,d4bd6448,47f9306f,355f4827,b10e614b,4590242b,da546e53,dbd419de,1d1a7fa3,208d9350,3496db0c),
+S(81e606c1,19b6ef80,418aa008,7ebaf9d3,7adff1ff,a81f739a,172a580b,27c7545c,ddb0404c,e56113c5,93920382,6d2adab2,6590b509,45865406,ce1fd256,6565209a)},
+{S(92d469ed,e0969dd6,7e9d7b31,f0f703e3,97cad53b,e6101b2e,eeb8714d,645eaa9c,24a0a786,916297f4,6a53c7c2,29a3c95,80eec521,355b823,f0488460,39595dd2),
+S(e5035341,5c49c24d,f672a74e,4eb2d108,57fa987a,afc50178,ffba8797,5503006f,38522661,fe682984,7b6dda61,9dbbe47b,35c0c9eb,b79b5d2f,2c6ba882,26cb95d4),
+S(d0777020,cf6dc469,cf020ce5,e64bc2e4,1e2bf116,4f4e814f,18bbbc4f,f468b0b8,997b2163,c4670401,281ad84b,a914cbe4,e76a5cb1,cb90c1bd,ecdac585,621cb0a6),
+S(881abd9c,717f0a2,360de50d,66a9b655,b9459e62,80a985da,e811f2b2,154e307a,beec571,1375031f,354dda5c,b9d8377d,1cb49816,1f4c738d,f6b9d323,f9acacd)},
+{S(ab7d18ba,955fdaaa,b1a0bb25,25844e2a,9d2e204d,ff224588,ae96c41,e690e010,4e0090b1,dcd619c3,10ff5027,9c534612,84ec2467,77b63179,c80724c4,42d00204),
+S(1a5982e3,37e3eb50,e679f24e,c3473b4d,1af3dcbe,ac3c7a96,a95f51f9,a9875266,dca6c614,85d55985,1fdc229,56ee59cd,fac74069,6276299b,a199f39c,869e5c9c),
+S(bcdf870f,8d5394b4,f1f3446c,a25ec6d,5b4c939,b598e596,814a6dda,a054bb2f,71cfbdd,d1aa7722,892f83e4,ea2dec50,81c4d14e,548a16c4,2818b76d,5721fb7c),
+S(cb28eeda,338a5088,db505da,949cddf2,741e071e,378f92f1,dbba270e,9c322c57,d98cba61,cceca53f,7d84d71f,f892b962,6f26e156,841d2dfb,7aaab839,3f515903)}
+#endif
+#if ECMULT_GEN_PREC_BITS == 4
+{S(3a9ed373,6eed3eec,9aeb5ac0,21b54652,56817b1f,8de6cd0,fbcee548,ba044bb5,7bcc5928,bdc9c023,dfc663b8,9e4f6969,ab751798,8e600ec1,d242010c,45c7974a),
+S(e44d7675,c3cb2857,4e133c01,a74f4afc,5ce684f8,4a789711,603f7c4f,50abef58,25bcb62f,fe2e2ce2,196ad86c,a006e20,8c64d21b,b25320a3,b5574b9c,1e1bfb4b),
+S(6ada98a4,8118166f,e7082591,d6cda51e,914b60b1,49696270,3350249b,ee8d4770,c234dfad,f3847877,a0a7bcda,112dba85,1cdddf00,84d0c07,df1d1a,a3ec3aeb),
+S(a94ae8,63264dfb,b910ea95,4ce9ca7e,4f86f92d,9f3a95d1,ed61552a,7a3f5743,7f53f7f1,6ad2d08f,15e73314,6d80467,41557acf,19556c0f,ed7117ce,37040823),
+S(b692c750,d23d3674,c351e3b7,e1a8a87b,14a5df81,852eaf35,209d0ec5,6e22a2cf,b18c4f17,252db89f,838de32f,b3340ea2,bb961a39,54b38c47,f9a8219c,4820a0cb),
+S(691fc741,80e75b55,47b375f1,1bf60abe,451d27de,1743a436,5f8e4bac,ad421c09,8eb5fd9d,f3c03240,6cebf370,8125955f,bf2ef703,475d3fd6,1a0291b6,69b52d9d),
+S(703b5f14,a7d82473,1196b52f,ae9ca8cb,b245b004,7a9928d7,d0c42f33,391411dc,5ed74eaa,49f276c0,4d61f31b,6da4137c,bde5673d,8e3f815d,efea7951,f88585c),
+S(29b8ec47,d241eda1,e51bbb1e,3928444c,3747b4fe,7cecb365,2bbc4587,2f504875,88693238,8562f8bf,f7d72324,62ebc54,6b93a95f,77936b02,eb1cd6a7,d4199bcb),
+S(444a07ad,e81916c9,32bdeec2,21c556c4,6b7f6491,e99b479,2cfec82f,4ec17910,2e084c2f,eead5200,77c151b6,eff9375a,713b9d15,5306708d,b3f538e1,8eb18cf),
+S(e0dd618b,226ceddc,f560527e,20b4fe58,e5fcf28,39911ea6,c3e8a4a7,e15f9121,a063a157,3377bbbf,1b9a5ebe,afbe11aa,660c1e65,df1392b8,97205858,3c86a3fc),
+S(9b99461a,2e8360f2,f2ba0bb8,bcaeb699,159e0652,69d9042a,fa0c4e30,a7b6f30d,3fe7fe04,3cb45303,3d4f5560,7d41cd76,9036a49b,82912350,6d8b9995,254154fd),
+S(504da3a9,d9d9c81b,c2065398,4ed28cb1,b5beec9b,6ce5dfb6,cea94e54,fdff044b,cbd40d1e,858133c9,cd20b9e4,ff9fe94,f7cc9579,39e6df49,7a6bd702,797f96cf),
+S(ddec0aac,1ebce6aa,ad6300d5,60f0e503,829f0bc6,479641f9,b19d9f6,484376fb,332ff5b1,fc83085e,736736bf,3c265e4c,8f80925e,6f38479d,6563bc34,e5faea1),
+S(dc530ceb,b82c246e,41c522f1,d2571d31,4b14edf3,91577a2b,64e42172,b23562c1,563ddd93,857d6529,8b81de24,19e5cede,7a4c5b7,a2fe98f6,9efb8906,6f32a98a),
+S(7604d60f,418dd132,78058942,fb2d2153,c0a2bfeb,e83c5011,a451bcb1,58db0773,38be14ae,d9e1c404,63ef92bd,d62c599a,b37625a8,182a3763,4fa2de90,535d50a9),
+S(cb896744,77b20829,f5e2bd42,8852c70b,91cbd0af,cadf219,a69727b4,cbec8d7a,5710d17a,20ea0dff,980d3f06,38d8b910,b8940d00,dd4a323f,d777d942,213e1093)},
+{S(1b8462eb,1ccdf7b2,b8372f2f,cec1f479,ab07c09f,cb26d6c3,965ec73,4d654f81,62f6755,b4a7891d,55de6427,fbc37d33,e4eea418,a2c04392,a3d11807,ccc9025),
+S(f6fa4c02,1b697e93,ae34145b,481a3ac7,462343dc,6022040f,834dd9d2,c69b5d,5de5e04b,351f9928,b84abaed,d3319e61,ea91fc59,8d6fcac3,401d1ae7,c08943e),
+S(cf805a58,d8f9b414,aa73cd0c,e545c9af,3f7d6543,8ae57688,81d30866,e81242d4,f455c617,99a2ca5c,fac3eb6f,23282774,7c9e914e,fce447ad,8fd71ffc,4fc3306b),
+S(48dbd9a5,88d1f02d,6eacc5a6,36c0fb4f,de87eb44,11329442,1265b0ff,a72e473,9a206d25,5dc1d916,e3b1e301,cab1bd91,ea29eb7e,979c0b84,608ed770,4af325d0),
+S(ceb3637b,28997733,ad6ef0dd,5004e32,9c87981b,e6d811a3,88804884,652780d4,6aed5e97,c0e836b2,73a309fc,5d389779,1f6f0bc9,246921ef,5fa9767f,dacac3f5),
+S(8940dca2,52ebefad,61db720b,e709c749,7302b5e1,a4174893,9626910c,43708a18,e1b0d7be,1e36c585,8bc6125f,7fd5c423,5e643f7f,11668026,c1536e9d,f6305efd),
+S(aa33c3cb,bb97ccee,5b8f452f,6a615900,392d78f5,b8c1f022,5266b8c,cb3449e0,e9ba50b4,7d3e3279,2253e925,5261f2f8,263c30dc,e613ea9e,737c3b92,8c8e3eef),
+S(39f3965d,b455a466,930e5e82,ef214452,ef5c9019,bd805fe9,67fd362d,193a1b2a,8f69a32b,35bd6f1b,c5ada308,f61550b1,534c07b0,1a3465f0,564ed6d,a8f443c1),
+S(6725d4a6,a827fef7,a0fb0214,900f526c,e23cc0b4,a6e291d0,ccb96ad9,e77393cd,69f91bac,b09facdd,b55fb70e,68164028,a8cf1bbc,207653c2,d898992f,89244f35),
+S(3b71b2f,84d355f4,d246a57e,b235e396,ee236c57,d6ab3a46,f89b5d3c,1a911c1a,7616be06,59e5b42,9f105499,38d17654,c605f81a,e4bdf2b7,b9c1817b,c8db03b3),
+S(a346e9c5,d8cc2ce1,1a733026,3136d92c,925f1b22,b27d3037,d9c4b109,9a06ecb6,4a3fd930,54f0cfa,6799e236,add0f928,6e45b77d,cef57797,7dcdac63,485c4f00),
+S(8e3c768a,ee07f0aa,3eaa43e3,f6986805,b7829c50,d67861c0,c75ab390,5a6fb794,33d3c292,7a9e9c54,a671788a,fc0ec58d,cc2a0574,a172665e,347690d7,50de0acd),
+S(b231176e,d39a928f,76a60397,79643e94,d5e75d17,238487be,f9b38b60,748711c3,3ae1ccae,204fb13d,74705b0b,8a0689eb,aea16e8e,c2f3d5db,177609ec,64027f0d),
+S(8afbe02e,161ed971,44075da2,cea389b2,f53562d2,dc771d3f,9405259c,fe4232da,e2c16621,f38a0831,d2839585,9cbceb53,254398ef,b58308cc,bcf3d79,ee0af228),
+S(1a263c8,c2c9080b,b0d4d61a,bb5d6b55,e6a7f520,80ef3f36,706e685d,7a527957,3925a458,779c3c25,7b546b99,7399a56c,b3c0b9ca,f6c77f9,c41b708d,f831253e),
+S(35d88ae9,b1d3ee59,fe79c24e,de6cad1f,6d822f57,708ee54c,26e7495b,357e92c6,de74f353,d8115188,724c2a32,39b18661,6b8f7951,34aefc75,8e724a30,8be7f31e)},
+{S(6ae991de,18418b49,160194f,a735eb72,c299b987,1981a4f9,aa717ad2,bcdcf13,7ee8011a,40f384f2,e50add2d,97005173,2787cc7c,89dafb66,301bc94d,24b913f),
+S(22165bce,e76e1594,5b9041e5,ccdee553,eba60e4f,1ece2d9f,e0ad7440,565f2665,fe8f383b,bae7e284,d1d890bd,569ab7b3,ebe5f1bb,b60ee19e,8e8de65f,88f3ab96),
+S(a2600e0e,9265b7d8,fcc46a5,51872122,66ad5334,4ddedbf3,ac8cdf2a,b86f2b8e,d00f90a0,97fe3863,b4854dce,fa5a36e7,3f94015e,f892303f,2e5cb2c7,aefbf15),
+S(38758ff9,5cefa7c1,b7a2443a,ba29b65b,aee1fa81,5ed49595,a4ec760f,b995df1d,43bc94bf,dfff3c59,7a6e41c0,52194d41,c1601b91,792f42a,6872ded2,a5e8f4cf),
+S(57122897,d98019ae,a6dcbe99,49682895,c95471e8,d53680ac,49927e23,16abfd27,c30cb105,d9edc36c,9e237e93,2edd6bef,3d553d67,fec3a37b,fbe0ef56,a3cb6c),
+S(7b7247c7,73470f13,2477c974,7820ce4d,51dde95b,dd14923d,e31dfb13,5a8aacdf,2e7054f4,a33361a7,a4282bb2,7e738884,3a91b211,3f71e160,60fb2235,6b40ffc1),
+S(1d3f0661,13c271db,374adce9,ef0c444d,4ffbc1b2,a34b9c91,55986371,52376f68,1a4c07f3,e3752c71,f772c55b,d269f3ae,a9cb40a1,ac8a96b3,7387cd1c,bf22e864),
+S(456ada98,2bcfa52a,55018711,6926b843,82754297,9af5c113,8af21e1e,3b625071,a7141c4c,673e441e,f67ccf99,53a7a6a6,3a77432,76261717,21f581b,2893243c),
+S(b898efae,8582d8de,b315220c,dc79d2bc,1a221072,300e0971,c4a610f4,7f6b70dc,8da8b020,8d674418,5620db55,fa3cd928,be672c5c,22897030,bb5a5957,37758a8),
+S(b732f7e6,9280227d,c1f56e84,7e72989,b834be6b,f04e2e3d,ca8553b5,ded18493,9157298a,5ff6e6e4,d705efcf,7601f33f,76cd2a64,6118103d,98fa000b,8ff9ad99),
+S(9601ce19,964403b6,a58d1d51,be876199,d63755ef,91bd657a,fbfac3ef,c85c78d0,df06aeb0,517ae1da,ff3a48bd,7ecceaf5,b10ac9d9,67e7ef4,520593cf,d7502058),
+S(a95814ec,11446773,36258a94,56670207,d068d8ae,19ada794,52210f2d,bd67bc5,29d7e4b3,5e5a4300,6297f9c1,f71a6a26,118693ce,fc738fea,ccf1b873,339617b3),
+S(d3533330,c6afe33b,ae921c0f,558fe47d,b97e7711,ce98c884,3abe894,320e8926,e1be0b16,72f8ea16,b59a6b9a,20c27621,e63854cb,4efde5d8,d1da8929,4f777383),
+S(4f05f649,e8ec9fe9,f675957f,7454a89e,c020feea,217782bb,43bbed43,b0a62881,dde64c2b,255d8518,da7461c6,b160286c,5222baa5,483fd5cf,dade9ae4,96432904),
+S(1a06ead0,5ef3dcc1,a9080234,b6158fe5,681cc5ca,acebbbf2,c336ecdf,3505768b,63661e6e,816bad91,1c7bd073,a15b185,c4c7b7b0,ae440dd7,40a54286,3a86721f),
+S(e2b163f9,f1b6ad48,e8bea9d3,b199cfe,378fbd2c,8f005cdc,e5959154,b2eca0e7,30759d6c,f55f7f15,a156a705,1f702294,72b9544,ba73fa40,27839cd5,67147083)},
+{S(64850a04,76870a44,2cfa57e0,4e4707f7,eccc5e99,12dbcb07,3b457317,717f5686,7c5facd2,91a6defb,a1837cb9,3bcbd0f5,bc37572e,68ccb2a0,c062a155,46656fcc),
+S(4afd2a50,f79b1403,844523a7,e88e0156,f77f7856,8668ac7c,79d2160f,cac27acd,40346549,fb5b8450,165c2a4,c47665be,b1d31f73,1cd758ce,6c8f2b17,37a832d1),
+S(f4132840,9cd5ac7d,7a0c92f2,5e39eb57,b8fcfbd5,d535ec00,a281d3d5,1275199b,6b66ce56,99a92cf1,8f635a0,7441f0c1,3561c8d4,cb0075f8,8a1596da,b6da6d29),
+S(1a6c66d3,1a54ae12,59b709b4,c70fb434,f3347d11,7921ce06,fd4f0dbe,d211e4f4,b6438fae,74524dbe,2d03e27c,8af409ad,67af8eb6,84760c85,1e81c6af,a4cb004e),
+S(3afe6f2e,8b5f1cf4,20ba1dc9,f527c662,a3af94c3,9d0e726e,b7942a2f,c9c1a91d,892cde5,f1420590,ff801f3f,8ec2ace,69f0dd74,31ca7e7,aed14c37,c2c12492),
+S(28afcf30,a1f5079d,e6f340bc,9e616ce0,7a89b67d,4e7f0dc0,6f54fe9e,d17f1519,b7cc26ec,9a25b585,33a43369,40b6bdc0,c2462e39,2246a863,e67bdefe,1ae51be1),
+S(13980996,af67f2e4,6dc5f389,d0269d1f,39a9341d,5e941e6,b4ff7bdb,ea54cb65,37a37717,d206b584,9eb79193,96ff5af0,449f3164,4c9eb31c,f27d8a,be66c741),
+S(b7b75484,8966d79b,aa10ad77,4c447872,dc4c78db,84a58b9b,a112f5ca,77630bab,ca5111f1,55becf6f,1a546463,8a417af3,2c72cfaa,da56f86c,d7654c06,bc8fdff3),
+S(b957ab6a,c7d7692,65adf169,492b00eb,4d8a351d,1f189d24,3e66453f,17696dcb,47474297,433f0297,231e0d7f,e51f1846,3af3e463,e071859e,d6b12b05,2191b839),
+S(53f2395b,af57e626,f977dead,da52c4a3,f8b98701,f57eb79a,735e73b4,4d4be4b5,1a31bf14,36b5dcfd,5dc24ff2,ab5fc7e1,15940bf,12ae40b3,73859ce,5e26d55b),
+S(31f8493d,8a81860a,3762fbdb,5b623358,af37ca99,3ce1bdfd,91f41acf,5d8502ce,1b231e3d,9604e28f,65d06f18,10931210,3a4cfba3,95c6d856,ecc374be,556a296b),
+S(77da894f,ef83a273,22138b96,64df3b02,fdb5bf02,4963a103,1000ab37,a821460f,86cdc4bc,3269d02f,d3e97843,fd2c9dfa,c9ad2d99,f7503222,ac4c4da,5394809c),
+S(d222a486,cdb8a4a2,8c1030c4,39b512f,f849033f,cc844e08,fcfd8748,1f68430a,2d7d7e4a,281ba28b,75f2d966,1d25a46f,5ded9066,7422a92c,bfcb1f1,797b7e02),
+S(e4431b98,21cfaa43,8a8dee6d,b7a19a38,729622c7,67cdc941,789a6b78,c7a2ae4d,770e652e,de9172c3,4f50ed14,bd8f83b0,720ee2f5,8717fc8,a07de08d,5f8ac400),
+S(1bb4bf1,1a1fb6b,78093ad1,5fe5408b,f9e1477c,3844e243,a14c37b4,f394254b,d9cf3fa3,25a0ad1e,fef984c5,8cbe25d2,f88f3051,788cbd42,a8f71791,5229e944),
+S(a8fc65fe,e4df466b,d6651ce5,7ef030f8,701e364d,f1de5334,92938856,deb74235,b4c7da06,4f7bcc17,b3308c1b,e7924317,fc02c53a,808b47b,d87700ce,1adffc97)},
+{S(92133195,a4fd0c59,7e0cf65e,8ce1d939,e333f7a8,441523aa,31e339e1,2ae51e8d,556a388,7a7d579e,87de7f49,8c54bf24,2ca4b8a2,8b959e21,ceec4555,b8fabccf),
+S(1badb614,6a647a09,894f60d1,6544e992,6da742d0,32df02d,ea347ffb,dd52f93b,6927c950,828e5449,bafee29d,e9977bdc,cd6a0185,3d3ef286,d9854f9a,75f5d4ac),
+S(dbec52ad,5b8257f8,f41612a2,70047e4a,715853a5,f22091e3,496a238e,cf61379f,1ed383f7,dccbdff5,bebe8f0c,235767dc,ee220fa9,8d1b5ef9,6aba5ad7,87b46252),
+S(5d2fc0e9,a5b1a743,131b4b16,88d504d,76422862,942de800,6c6d3611,3443999e,f7f89299,64793634,4156dce3,ca77c2bb,40536f50,60afd3b0,a3b37d3d,869dc11d),
+S(761a1b70,83db07d7,340fb1bd,d5309ee0,e9e05bf5,6fc34a53,b6034365,ffd91ac0,82b1fac0,3d382fd0,109e45b5,8a07638b,1ce9ff2b,f45d3cd9,50843b69,43c75c7a),
+S(ea397afe,9dcad2b9,4ad000d1,7abc4e5b,739e4132,997a7898,3c6c5c29,ebf7222f,24a87ba3,411ca610,5a696969,f86ab751,2c61e189,5ff4ad18,7193b5ef,7d8d2034),
+S(3dc03137,8776b2ba,83a8124e,821de26d,1a52855d,d610eec2,d5c7eec5,9c92e81,b774a839,6ad7b7ad,9e6275eb,2731ad84,271fb8b4,6c3e12df,b74fe942,e6dcd35b),
+S(49b98bed,ac9bbbbb,75f4f3fe,310af59b,1ec779cd,41b75982,6a929bcb,d40ada85,c09f3d79,3b143720,dbc1d04a,4d559f35,c650d372,12668736,1d824a9c,b100630e),
+S(786555cd,2c6344d5,7f819963,1ee8536a,ba3ed77e,88501a2,20df332e,b41c9aea,f3e046a0,3ea9d39b,31377a11,dcf7c2bb,13ff138f,f021902a,4f927e3f,f48a60c8),
+S(413259f7,3ac4366c,1385e7a3,79f54796,4b6295c1,298fdb7e,6046f711,44ee3055,a7a62864,4717b82f,b3fbb73f,fae2318f,985f1923,7df110fb,260434bb,81bfb4dd),
+S(64922735,de394c7c,1d42e1ef,d8a19ef6,ef34e69,dc12bce7,c320f748,3993bce2,84bc17d5,5711e228,7e81ccaa,9625c73c,60923b0a,f266b70a,435b1c11,e7d29fff),
+S(32d0955a,c57511db,5f27606b,67cdef94,a001bdc2,cc228bf2,951f5426,69d6dd51,7f9bb41c,d62d5863,c2dfecdf,8e3cc9c5,d104abf4,56b9030a,552ed607,73719520),
+S(2428069d,b3ff968b,d1559c74,c3f38f17,e725340b,e956e6b6,e6ae3a70,4fe8af4a,1f074994,b487ca2c,9bf222ec,41cb54b1,bac8dd57,50e47f00,59ee74a5,1de0fb4),
+S(a7f35a96,ab880ce6,b4e3c5ba,6502af7e,cf00c685,b260fe0c,380ff875,2bcb3e34,7d47fcf3,ed09412b,ed9fc737,212b6289,8b415372,c9338673,a14e7f42,7b4ac9d3),
+S(ab624def,ee301beb,96d2626a,88a9adbb,665f9e83,f85640f3,79e4ee7d,c9282b2,4dd486c4,3525c5d4,668c5fb2,7d03c985,df69a344,62187396,ed9b360d,fde32f72),
+S(f6b26f3,cb13dfe9,dca461c8,5b480140,df4a0c0e,b1d2f5d7,58de5173,eb4c4746,a5ab6d87,e6852ce6,9965a774,ccb94676,a440d1d0,c8b02f54,21c11bdc,b8406cfa)},
+{S(ae5fb021,e9256cc0,6236d667,b76b9bdf,304a4683,d2916ffe,489cf019,6b4c5683,e768366b,5c8d36b6,18e45550,d57493e2,41fed17d,12627e37,b29b4b74,d3603696),
+S(a4e569c7,5d717deb,360a18b9,5bc0fc36,af132603,b74f3e0b,1bca3e31,14c28e64,a70e832c,e3d8d514,84136fba,9f81a2d7,8ab65b93,dc9f9080,1fcf3712,74340130),
+S(2e7c85c5,7e68056c,e10ae193,66807434,c048a046,430d2087,92fc9b01,dbe06508,8c3f82a0,b8cb5022,dc7b04aa,6445b06,d251f9ed,bee00246,c33785de,979140eb),
+S(fadbb0f0,b4bd864b,73527365,6455cc26,71251519,6c63dec4,41052585,fa86eb52,bcc086d7,54f08f77,1888bef7,4bd3bf9e,35f8498a,aa7cddba,acd63f0f,ef676738),
+S(4aa439c5,2a0dd24d,c5f72b14,9a39e991,6dbcd4bc,4619fd34,94012a4d,430a2b0e,5482d41c,7fda4591,4150d653,2173b658,b5a06046,8270fc7c,2ea19d58,7b96e9fd),
+S(2e1c9639,537015af,7de6bd50,e2697661,8ac633e5,f1946af5,34bdbc5c,9797aa4f,b6a39518,c607d0d2,94a36682,f4f6493b,c80f1624,792fec2e,e971f080,37dc6dcd),
+S(63f28872,6d86ffbe,28a516e4,75f67972,e6266038,3be45c0f,d22e9a6d,d5d240ed,f62ca816,59ac13,10854091,c7851bc0,4d315466,b6187327,3af16f9f,68597dc7),
+S(576c051b,2f4d2ace,ca5c067e,290a4d5f,d8f9b6f,19d4652a,449fc1d6,9d4b762d,a2b94a16,903d80d3,f965c43f,b751dc44,690f18fd,bf3e29f7,e21b855a,837664bd),
+S(876afd3d,8466f7ea,eed3ee7c,e809528f,c4b392c9,efcc1f9e,753b4dd9,b84722e,e4453b1f,c3fcd636,b2c9bf97,6816b60c,246e254a,67bf2e59,22f835af,103c1107),
+S(5a2ca063,6453a00d,b8cd6f60,3434f0d8,8642c119,b6302766,8ee67dc7,c10c9e3b,17be303e,40bdb2d5,9dfe354b,e58a387b,ff64112,3f6a13b2,80876a7,24c4d601),
+S(46fbb84c,d08ce9d4,73e3b00,f5ba4cc2,f10fb84b,ea34a8f2,de114c31,8616def2,62410bd7,2ffda863,2400747d,1984d1f7,da285e9c,592729bb,ad9cee72,d266fc78),
+S(417f7895,e2bc2999,469ce63b,66cc9bbc,4581b42e,c62171a8,ac32bdd5,23435283,1a5e10ef,826f058a,175fa5d5,21594182,a61a5a07,406e1f00,396935be,f78c9ef8),
+S(916866c2,f33c0942,c8f12e54,8771645c,e1581ee8,6f58a90,67ededc6,b70e93b4,c7945f0b,d100c3a4,d624e527,ea9a8d9f,cedc9934,f903955b,aba58be3,c23819b),
+S(c3630c36,acc78b38,8c5e8604,8110f113,3638c78b,fad169d9,d25d66fb,728ed4b,5788b6d1,7c74f601,e2bf5d77,eec182ad,1d9b2a89,6da8962,f9887bdb,5a6918e0),
+S(64fd5fe6,cf91f11c,970692cd,d2ba6bd3,4d17faa7,77ace6db,d161e63b,93a0ee19,37ce3afe,f75712c3,301e4c97,6456ad79,e09326b2,28b23e10,b033bc53,a6efd060),
+S(2ff8f0e0,5d514fe5,766bc683,f82af019,471a173b,b0e2ccb7,53eb45a5,8047041,9a13b872,e26b58d8,68e1db1d,7391afc1,ece8e410,a4bc3f42,dcae2b27,ec9a6e98)},
+{S(782d5c9a,d970322e,deff2e7b,57844184,c589a4da,c042fcf3,86c1a9f8,26c1babb,27bba565,405cb392,64762d97,cbaff552,1bc38b20,56afe313,556542d3,f200eb06),
+S(69040dab,81af8b4b,759b852,40c16380,cc2bc3a5,bc8e9e68,7cee93a3,352d8055,e48d161e,b63c619,26c78402,528ad5a7,19a7fef4,4c03b933,37d51bfa,ec497817),
+S(d00d4407,f7a1bc4a,57ce72b3,6fba7d8e,ca4f2303,292c2ebf,6940b34f,fd98aafa,ebdee075,32ccf753,1806337b,54a36a53,1641fb80,64d928ac,5a3626bf,e16dba4f),
+S(9a3ab165,66f8c8ab,7b3d0d5f,7a3ec7bf,3cb69c0f,31346486,10c552f8,17a4abe2,7eafa760,7fb4cea0,dedcfb1b,1c16ebb9,8904a79e,37395aa3,1ced5c71,fc8c7774),
+S(f9028f3f,4f5752a9,9ce55412,876c7067,a199a338,1d707bb9,3d2fc44,b165d000,a7346d7b,6ea796e3,2a19f104,34a7e0d7,b7e90326,81374d05,9b81badb,4dd651da),
+S(e7bd1e16,60174f67,13a8db0d,2bf88a45,275a44e2,9a461c1d,cc6dc5c4,fd2b5c0f,9732850b,41082c88,5ab49289,fe11094f,c26bf80d,1b0998c5,1ce63cde,d7bad0fd),
+S(d8b88e20,ee8db21e,28bd271b,46d77769,b446994f,5eb35ea8,d0613b29,67f8c1a,8b9905cf,547475e5,838e9191,388b1c64,25fea463,1e4ef825,e84e2226,2888d0b7),
+S(3dfae04a,180749e7,e6949aa5,600ebe40,af61d644,ab5446dd,4b3334dd,f9bd7ce,963fb79a,a952447d,e274666f,16c08a2f,d5864825,78b870de,afbd98c6,adf4cca4),
+S(4e0f4c4,b4905983,e12cf9cd,7dbcdf18,db9782b7,d4ea7e11,280d1f,7bc01e53,3305aeb,9b5f23af,bf1c759c,14a811a0,1bc3a5aa,19e26176,71690393,f3318bc6),
+S(d74e6ecd,72453ee3,f68fc29f,f0de5b36,82c295df,2fc568a9,d68ad747,d4409b77,46dfc1af,819ee0,fd04e0cb,1af0835b,e8f6e53f,1ed28d67,6c0c172b,2e56a74a),
+S(d1ef8f37,78dfe4bc,83c48c4f,e9aeb917,34320f2b,a86630e5,28f735d4,fd78fc68,6cc62683,1e417caa,9bdafef9,92c7267a,e7ace1a9,27d225e2,a5000b97,c45007c1),
+S(64457682,4f541ec7,d8ba1964,32146322,3d1bd634,5cd09f03,a91aff2e,b9502b15,236ca78e,bec84846,74c43c52,55e2cb76,b41b01da,ded4dede,1a99e1b5,8fe80638),
+S(f557af63,f3d8437c,1c48619c,4bad3e7f,d92c6ff6,63b86121,55bba4b7,efbf350c,efe2dfea,62a12ffe,5e4208b8,e5af4f07,13f8de73,824502e6,94b08d34,d1d92e2f),
+S(f45ade55,84070898,1d244e7e,a546a34d,85fb1164,5ea86188,43d753d4,2baa1ecb,ec25cb2,6574f472,69a90070,3eff9a68,770ffa2a,7b12efa1,dcd81ce3,56a46978),
+S(e3169959,74f4127d,e9002439,582f9790,6047bb58,d4bfdf74,3b6ebea5,b5663d65,cf7afc59,efac3d94,88260d14,a3e252e0,b51345bc,d3e07c1d,b07ec4e,28b6d60e),
+S(bc9112f0,137446bd,1a218167,72b6afd7,65b19569,90f8e53a,f8db935c,2a88686b,a74e4d7,1e24d149,1667dced,bd7f58ab,851d685b,1c29e38d,6c9e613d,b65b7864)},
+{S(ebc119d3,8e794efa,85fcbd,5affac35,f73c7428,590ede0f,6365f1ea,87c65b4b,183a9992,3911b1b1,cd9b0fea,3667b6e1,52af7499,8d32beb3,d2ecb91d,af6e8a06),
+S(7ce4a044,e4656f8c,687bc693,1c6fcca1,95322643,db41d,8407d880,4d6b6cb0,14fe83fa,eb944cd6,dab9e7b6,279ebde1,6ce1028e,5df74c77,7e6e00dd,55f69465),
+S(5226b60e,b344786,bf572e3e,33e5aa14,6ee6feaf,35c3a2b7,22118560,183cadb,cb650e9c,e4f93861,cdb700d,13557323,8a7d7686,e22943f6,433dab6d,96253b10),
+S(21c0342b,9a723249,ae7193fe,aa00baf6,beeb376,1f1bb125,7d0d9549,d46b403b,5b2dfee9,4a67c6a4,def4f55,a14af716,ab1be308,ecac6042,f86679a2,1f5114a0),
+S(82e97dbf,f1d0d9bc,65797145,7c5aad62,ea75753f,df9d3e15,efcd3ba0,285d3476,7f67ccc2,f0aa795a,890d9a30,6838b9d3,c64c1371,75b0ab05,68622b3c,fdc8d25),
+S(6c02ace6,1f479fbf,11059054,d8dc5761,ca0a97a0,22e520c4,8aa2f32,448b7392,4e57f208,ceed832a,3626f347,f8a30956,13a17e57,b0159ca5,33143166,77b91469),
+S(8a367826,e40db24e,28fe31c2,fe24151c,8e4702b2,43a99d86,5448d83b,cf49a6f,b2bf6c78,299dc024,2fc66392,cf6c5097,42a05f15,935c835,3944e66b,bbb87c26),
+S(c1c3921a,14f64598,11aa70c3,f756e689,82233a48,588bdfb7,84348459,19125af6,6f7109d9,47dabea5,da858a4c,75ba6c3f,162ad404,15e7ab46,7247963e,8f4a1326),
+S(ebedcd5a,e0f0005b,2eb70d40,4a1bd4a5,f0537c48,e8f6149c,c042f9a,773c75c5,2b7103da,d29bb9d2,c07def6e,1094fa50,ea70f7c0,4f609b4c,bee0d576,57e506d6),
+S(bda6fac6,99e09a50,ee0131c1,efaaec6c,7cde205c,d3b55c83,176d20c7,80678bc2,881c023c,86b948ed,31a5cdff,8f3f985e,cfec9111,627d813f,177afa76,89a16f89),
+S(f6d335ac,66fc71a8,319eaa38,3eeb7fb7,41118280,531434f9,cb0b364e,90babd42,b14c40c7,8846262b,e117735a,30a3185b,49f8852d,2e3aa8f3,3dba4806,ea7ff2cb),
+S(c5588c4,fcaa5c53,79f910fe,9bfa1224,fd20aacc,f1efdb2d,7ba87c5,3615ddbc,e60ac5b9,fa96e150,57378c1,11f384bc,16fb32a0,a0482f26,603aca30,ed1315fd),
+S(db88be26,bbab7b99,f0f20c61,40ac77b0,28afd465,aa4d1294,9011a47b,b1d87f89,e126d612,91ef9a77,e90a8522,ee6e7dfd,fbfbc2a9,90986da5,65919317,dd4ebd1a),
+S(1150279e,e9c0323b,b122c2da,6e8b28ed,5e5b02a2,162067ba,67f5aff5,e99214fc,74d876d8,4d00e091,ef0aeaf9,5aefda58,f3da4d52,51b2b28e,cec41a23,4b420401),
+S(1bfe1d76,43526f3a,e0799982,69f9679a,9a54f1ee,bdad1f6c,9c8e096b,6e771023,ad94d693,961644ce,a37ee705,e06b4b5b,32c17011,7aba021d,6cf48746,d8637dc0),
+S(928b3e6f,a0e6c2c5,896f6eb3,972fe96f,7e446782,50d313d1,54ffd666,2b43a615,50f2d7d5,fa221867,3f18540,f2f7b513,b6b4875b,9ed4a5ba,73de7800,37f842d8)},
+{S(bc4bb9a6,292aa09f,5c66dc9b,667c4642,6b08211f,a9a80f5e,f3f17b,21f275de,5d0e0492,39a862ec,b9649572,6f11bc09,cebd9f29,d9407ab3,1603054d,d9b76b07),
+S(bf330f50,a9c015fd,8ff93153,561ecb91,27b84420,62fadf17,3dec27e2,a5f7b0,931f0891,94aefbf5,9c530d74,8ccf5a5d,83f3fb1f,cd9043ee,ebf50994,d8ec1248),
+S(33db24e,b1ba1a5,cbe2832e,50d877c8,a4fea4d3,e63d7c71,fe8cf9ea,9fcd1cc5,8b0db6a2,37555121,ec8a2ed0,e8f80dfd,37082a0a,883d3fb7,d7d2dbd4,7c01f6c),
+S(eefd96d2,1d6639db,6a7f3a79,26f5bcd6,618e6ae1,70551973,7dfca216,565513d3,d7644dcf,e46715c,1821babf,5ab153bf,a80d20a1,252718b9,b72f299d,21ba7218),
+S(48c08093,fc737bb5,70a31154,290f709,3467c915,c4afcf6d,ae372e42,3ed69815,29581f74,659462b1,3951d930,a8912e33,a2928e34,5e3563fe,f88b42d2,28af2f26),
+S(68c61ae5,15c1ebb,d395feba,8661a967,162dcbac,5cb13303,9a354c11,ee217267,9db2d6cb,b3880ab,ddf58293,7f76ad7a,70fb1c58,d2eb9a5c,468331b4,55c5ece9),
+S(99afe669,baf69344,16b388b8,30b97e80,86886c62,86870e7f,58d6efc,377ded78,a684a9dc,84881a2f,bc340b96,4180a966,d00aa5ce,513693e7,9052795d,74f08f7c),
+S(3e893680,b103cb80,e6a4eadc,abdd4eed,6fd53341,d08d6d78,85fde37a,49621bdb,d342db6a,a942396f,76b79de6,a6d48943,2beb59ec,4d1d6399,9244bd1,731a6855),
+S(e19eee8c,7206fe64,a217e60,c791c834,de7cecf4,3ae1cf42,b697941b,c556252b,cf79152b,76b0ef1f,abd36175,48701716,32ffe2a1,57b006cc,4fceb313,17be8fd8),
+S(50d544c9,b3a10831,e325dbcf,6b13c6ce,a06ba82f,ec3e5b9f,9442101a,a4c64d46,a89b1cfb,169019ac,19785c9b,8fd27f1f,177adcc6,c9b995b3,43b373f5,cd82c9cb),
+S(e34ff94c,729ca264,1cd51264,1eea2aa7,ebb5c577,71bd1900,86a02aea,7cc2c1b3,454dd58f,c46f61c,30efbfe8,49c7b2ee,b1a99bbe,6c8a4f6e,c0063a46,a1f63f86),
+S(50a5b0a6,919974b8,14c10ffc,8c6233f2,843840a5,834ff5b6,75134ee8,4f40a716,6cbafa57,ec555bd5,2f656a95,3d592aaf,e963d403,40a7540b,644855fa,7c94c3ad),
+S(b5f7dfc,438a381d,edfb576,aa62f2e2,12264e1d,8222bea4,f71ba06a,b2b6f0cc,396484f5,3a14cd16,58813612,2fc55f7e,89c4fcab,6d73e5a,fdeffadc,3c9f9b0d),
+S(4e2a7b73,1bba01ce,68f4becf,34ab78b4,3c89f711,3214fc8f,ba3e19e6,a449b7f2,aa85874,bca558b2,e674623,3e0ab93d,4ec34eb,6998f0df,3f153126,93739077),
+S(3835d447,f4da18c2,1fea247c,9ff3436d,bd60878c,dd347f4c,ca1168f7,ae189ece,df5da21f,f6a6add7,17e53e6a,ff0220d8,9b1e71a1,30339194,81bbec2,40414a1c),
+S(82452834,e84617fe,d7d32149,6abdcc54,2af5fa13,8f55faa7,c2245cdc,48c89f06,c01d6da3,96b923c7,290dbd1a,6c16a69d,8a872638,4f6285a,f589a0d0,20e892ac)},
+{S(c8e595d2,666f4913,1f375b67,81b9113a,d0760e5,9477ca17,8863828b,307488f0,a82cf2a9,d823af13,5c23a04b,bc12dd81,2c352a48,27e19030,8e089d9d,9c316596),
+S(26da38b,1bfa8363,6be480cb,684ee5c,70957f93,7f9a2d57,3ec75396,bfee49fa,9763277d,f3c228b8,515bd08e,b29dffcc,eac8e3ae,786a9655,5fc1be21,cdd20d47),
+S(52063926,34d12242,b2ff32c7,d0a8bb47,fbbd005a,bf7f92ce,78808a5,7b1cbe55,d0cfa8e,49b45823,881819ff,fdbb6d2f,5c65f35f,3572e13b,ff7af252,95efe81e),
+S(af61f7dc,8ceb2277,db16412e,dc469b2b,f0e188ac,89c72bcf,20654379,716115f7,524b9b25,925b793a,8bdb8e06,83cdb414,db0f6dfb,e7e06274,d61ef87a,13493b66),
+S(39e53a5f,f553d89b,dcbd6688,9eabd7d3,8c5fc6ba,24618d98,88bb6e42,92658f06,ae8439bb,6d32531c,45ac510e,20f1c7d2,b8dc70a6,65c11f2c,cda73603,97c6580c),
+S(b687e250,531efb00,f7e12690,659bfe25,429ea2e6,f1dec5eb,74bbd1e4,89a95e31,1033e5b7,9c0adb6d,c0f12ff,afc5d81b,54d7930f,f6190dec,737bbb3e,c4c774ba),
+S(4c17f5ec,34cdd368,dbb62f20,c3b86483,24e99e0e,95a7e624,64cabe76,222981a9,1e37e3df,b690b574,a11c9803,f1cb5618,ce4a0331,e17c5cb5,4873ed6d,de217019),
+S(bb7c4b21,77b77a9f,8f78c2e6,25bb943e,9d05dbed,abdbe02e,497e5dab,c31dc477,a5f38fb,7ebbe67a,869b90d1,aa4fbaf5,cd7173b0,46cf3c5c,b31a272c,c0693c82),
+S(3b18ce78,6688a74a,7256c067,a412aa59,45fbb506,fbf801b8,61734ab6,400744c8,d4f01881,47809cf6,5226529b,acf6e81b,7fdb609e,3eee050d,ec0f3140,2308ae20),
+S(b671371e,2f0b770d,af8fb77,6a64948c,1481cba2,afd1a3c1,bd233946,e34c86af,4a58dda7,ee794384,496c539,7ccfaef9,fd75d05,c551e26d,2ac631e0,3d124fec),
+S(caa559f1,b0afb30b,d62ede02,a9e28a9d,8bbb437d,e9a8963c,37e25898,428b845c,f73a14ef,2078cc23,92b99742,9dce6a50,5682bdb8,c2b5e587,31786814,9c777411),
+S(2676f258,a761c508,5176ceed,a95cf9ea,4d6640df,a2c4abc3,e4954225,c23acf9f,fdc42fdf,b1636050,67786940,3aea320f,8ec1e8fa,b9033c3f,2b919f50,fac0271b),
+S(ce17ef68,f6c7b456,4cab6be5,22495389,874f296e,b62d552b,6d621607,192005e9,94fd30c8,71add5fb,5161b468,ab60d254,472339c5,2668437e,7e172ec4,957d00c3),
+S(42fca34,df3ec118,417d8d18,4e507f2,91d402aa,32c00b5b,a1dee38e,7fb0cc35,a046e52a,fb7eaf45,bb3205e9,56e0e780,977bff46,ea65633c,cb0cd2b4,a3aeb2aa),
+S(99926617,c15dcd0c,95ff4903,ed9d6050,ad0e1982,84a3c9f9,6a24ed55,45641b13,64437785,afc882eb,4a78844d,14d79cc7,cead217a,3cdba8e8,473374e3,4d416b56),
+S(3d4751a6,99a8e88c,aff3daf,3ddcebb2,63f0d56e,6d305245,4c16b0c6,f80e0d93,162f562d,32595699,172a5c6,4ba2dd35,11bc5430,f21495d1,2ae9f6a0,638c613a)},
+{S(49e7429b,e0d97bf9,3f17e9a8,53fedb6a,a9bc6edd,8e85f44b,9d2f1469,b2d3b178,ff9e5dfc,2746679e,9826039d,578bac31,c08fbaac,a075214c,73c50f,74568fff),
+S(1d1c9798,3eef36d2,75478b94,ecd3e172,a39e49c7,1c79f932,2077f410,e1a9d0ae,5d8d6ec8,aef80d94,3e75ab6f,68408d84,6cf94216,af6e06ef,dd7e9e72,4abcd7b4),
+S(60f8ca6d,1d60f524,8d582e8b,ea2fb8a0,dd2ddb3f,49bedc03,5d24973e,aead0b41,7c4e8b11,b0e8b135,bedc60cc,fd540dab,da868d50,78386aca,117bb71e,e108fc51),
+S(c6f57fa7,6d2ce583,415e0366,9136b21c,725126e,56187c79,577949d0,797e196c,2772eb6d,94a50849,e58cf22a,eaf1e35d,6e2bf171,f180a44f,42cd8659,41ac2348),
+S(3766f2fc,83c96803,e590fb7b,ceb842a0,8cd5602,e57cd00b,5a6e340a,361a7daa,ee3e9d18,da86e137,27560281,8806fc26,199514fb,98c76526,54c85842,649ed048),
+S(20de0b0a,6b2200b1,a89499bc,5cf2dad,7dbb6c2,e9805259,21c5e6a7,29c40cff,b680c2e3,33083337,3fefd833,68986b50,d2a28319,9912a092,fbed8b5b,1f22663),
+S(d2f06c3a,add7cdb5,ac606876,e4093fad,8c626408,ab6e6dd1,ead7ec93,4e0a1088,990df428,517d791f,ad749267,7666dbe0,6b71436c,5112295e,ab7bfb74,b4cc89fb),
+S(c583dce0,f9c32b0,d8c87a9a,dc7dd093,d12037a6,ec162d5e,22ba72ff,beae41e1,d9390ef4,9f7f10fd,7b8641bb,f2ae8388,ed08cc19,3d1e6a13,81d8c198,42025aeb),
+S(80f61ba8,a99d2081,f0652a9e,a25b8d23,716d55aa,c9355891,9a4b4d43,1e967f58,b8df023e,56eb796a,e70296b2,b47dea6e,d74ac4b1,99fa132d,c9c464f0,ddac27e2),
+S(4ae1535c,dba6c272,6e78dae3,bc651f16,cdf6634f,95584886,899c829e,df12201c,ef66789a,13b7244b,ced52d30,c9af6613,55d66a9a,9efd3a40,703d38bf,c69c7c75),
+S(2143bc02,b46d41b8,766db211,61ed21ef,5b0973,b7cebb00,beb89b71,4a6e16d7,7dcb12cb,137dd6e6,96791345,69e25e2d,57cbed88,ce39aff0,3d57ec3b,85160fea),
+S(5c0b84bc,ca8945d3,a2356c68,afb8d1e5,d45357b6,b37e5afd,c2b00e6d,1f6c5eab,1608a492,bfb97a7e,746218c5,f673078,c70f5880,de8df87f,8aa5bfb9,89b43ee8),
+S(f6cc5210,fa45c072,cb95e88d,ca93b9e3,f7b35e98,13c29976,2ed9364f,8c021e3,ae959f0b,5ce17592,5046e320,f86d9751,a6ec37a3,a773e5ef,c4681ebb,f5aa1baa),
+S(d4df71da,5f272934,8653f60,bb02deb6,c314943,f50cc5ec,e4974ace,b5b4d0ac,17caf288,b3286dbe,2e8d0616,df592027,baf3e59f,1e52fe51,9644cf5b,66443c35),
+S(44e8227e,177bb9c1,5aab6cd9,d987ef1a,af087d4,bb2672af,1a8d5412,a7d6cb59,4b9b2602,152e1152,92fb191f,2cbbec91,5ecea9e9,ed75121d,5cc7a88,69527cd),
+S(97f092f2,75d1ec04,96f6b14c,10a280f7,25c9e4a5,d16afe2a,3f0837b5,422bc5db,12f04418,c131046a,e5c7ed64,f69d6a8f,d3a3d35e,30dd273e,72ff16df,a866822a)},
+{S(9a1db7bf,53241ed1,df8d3ea0,f70c0b26,76b43ebc,bcb4622a,9704b0a,3067400a,e3638ad2,95740505,455b2e1e,d495c57a,54ed8e8f,c647a6b9,c69b7dd0,715cef52),
+S(5aa4d7d3,745f341a,c2869a8f,ce1e2a96,e25e49f7,1e5cf140,c0ad884f,47d8ae86,9f03a2ba,989bd4b5,9361448f,abe607ab,210d3887,8da85782,260937f5,9910d8d1),
+S(91910df2,7ca6ab42,17ddcf1,d7efbfff,e69eb9cb,24a6648e,3aa7d738,c76290f7,e99691b1,d883491,e79e957b,4c65f975,601aa5a3,b056ebbf,abea6c7c,d7b9ff2f),
+S(b5b7792f,99303195,4024caa9,e08bfc16,53f535fe,7bc3e34c,8491864f,74f48799,6cade2ce,595b6714,5d376b7d,7b435a3a,76b15912,6340f6aa,68ae15be,26a159ce),
+S(8b54ad71,6c724ad7,e47e5efb,e6b7c93f,8923e7fb,8517ce0e,6f732486,f37ba1af,fb8aa95f,4a6e3522,371cdaf4,461f4d6,8a45481c,da065f7f,a697487e,fb8ea80c),
+S(b4896855,b2614337,8c5842ef,b7dfded9,ba6c80fd,2eb154f7,e83c4734,ed7dba2b,30e20644,fd8a9a81,9c622641,b525647e,ae35b892,91410141,1a5df15d,36c4efb1),
+S(5bc3cc33,89816b7f,414a473a,2deae3e5,ad3e7803,b7532f36,d2b31598,7c35d6ab,4dfe0f94,86d1ecf9,7de9b0a9,3e437f49,c015b9a7,677aa2a2,74868a4d,512c2ef0),
+S(230bee0b,5eaaf145,f18ec782,1e861f12,26cec876,a50ac94a,4a88ed64,4a3f7d34,331778b7,d638cc22,269a7a3e,abd0c393,f7e08d0,dc761da6,25b70b5e,14f18c26),
+S(8f55920f,c479e736,3000b33f,ebbb1559,d41a5873,93429368,78a6156a,d476b8bf,94fbaab6,7a49ff13,2435b28e,df7253af,43420841,b721221e,b5606a48,3061e441),
+S(d64edeb3,709907c3,761afdea,f9b431fa,7c0d5912,8a603410,39e89346,1561b7fb,d64ce942,eda3a553,82c22d7e,f9b20c61,ba09fb35,4401fdda,c054e891,15134b9d),
+S(ab22f920,a97eaefa,25e46069,1123f499,7b3a78e9,af738ad2,266c6c98,4b5fb63e,27f41b98,a05a5599,eb82b0c,37a9a70a,f19df223,5254816f,1b9411b2,52b77d),
+S(3a409fc6,f4a19839,c6bd2187,5e2f9b1d,5e10ca36,5711a0b5,67084612,ebe049d6,21006d4e,399d55a1,6a7c136e,b192543b,36e73785,36506555,e9c5fea9,3e5bf265),
+S(57305b7,7613e53,635ea239,c9e35edc,1a2a1680,fdf58358,93cb226,c0f11f50,b3316b71,954f5a14,acfe28bc,9e90c27c,715204e5,9db9a74e,a5b5cecd,2f43aef),
+S(d5c78499,3727b6d6,18bc7b22,4b1da72b,1cd9122,81e8e58b,cf2dd698,b400cfa2,d1aab246,fc2da7be,de9d90cb,2c438d65,310b4785,ece43715,dd3a1a65,c8abca8a),
+S(13a05a02,7191a7f3,eeb453c2,8b76afb5,150bc141,20b90f50,dbd0d218,15453e2e,94ab710a,3736322a,ed6b4443,abcdce44,a8556a3f,85f9d3a3,701dde54,52aa3927),
+S(3e6033fe,9fc41a9d,6037d9e7,ef11fdb6,93d1af71,237d3983,2da15f12,aa080ff5,763af526,e9187e31,89955a60,b3914307,99ed7de9,e41b6c,39d8ae8,748af8f7)},
+{S(50cd2e16,997d7d45,98bb2d9b,61aceaff,5ad5f38c,8286a0e1,d08055ad,726c7800,dd19c3b,c08b8d97,88f9de1,5941f5fa,6402bbbb,5fdc708b,cfc08844,eb23733b),
+S(4e83070c,e3eba290,c6cd520c,dcb4252b,9098270a,55fd47fd,eedf36da,b1706d47,561a3822,cd94b2a4,1f30bac8,695e05b7,69de8ae7,4241d2ef,f084922d,ccaf09ef),
+S(4cb0754e,6863546f,afe0bfa,edc94c15,6d9ac68e,db700281,2a24933c,a0a30401,6cf6ab8e,306e4400,427b7820,52534566,52d2bc98,2510c84e,43b4ec61,3194c402),
+S(a3689f89,d4874967,1b205a89,8e6c092a,b0cdbe2d,f1530bf1,99201a3a,6b0e3da5,5a58acbb,e6ad1676,a328e193,30c3297b,81e52e9a,4abfcd4f,7e0bdc2d,543bdf61),
+S(79617bb3,c57e2db9,b2978984,2544e9ff,61055023,80faa2c1,9db34d60,b6cc0c8a,e63a05be,be1da5f1,b74450d3,60092dba,29122671,6e07280a,d78a1f17,5daa191),
+S(6a474afb,415121c9,38c73c20,27a5fc93,f7e8ea81,d7df1144,a50b1c66,5be0d8cb,5c643389,af9fd383,b7d71966,d251dc20,db8b0d22,8aa94a04,289ee8d8,247877fe),
+S(7bbcb86a,ebb40626,ce142507,b8cf0801,2f706862,7a46c76b,fb8eb115,be4163ce,b18769a0,735707da,4b1d7a1c,7690f190,2a3a1f30,67d54f8e,188f8a41,3826ade0),
+S(5caeb262,447b4224,19f66418,4899762e,2e2a6b9f,f8aaccae,a29fc3f4,68a1b645,b894f2df,20dec514,2792de69,86a9582f,d6e1e3e0,fd97c5e8,9798624b,9d6e2236),
+S(a8ec4087,e144437c,3acf2ab9,3f339415,74e79f9f,cd48bc47,cace25b0,4d4e451b,ef3ce687,12f91e5f,b38ccc98,5c0641f9,d57a6ac2,b72f8814,3e85e128,c7012a4b),
+S(724a5b27,5dc8ff8a,e10b34e3,5d05a592,c50904e3,32153a20,78809bc7,5d69ed79,488b7096,f471a9f8,583a9b68,3119a211,6ede4c52,bf817b27,123488d2,9ecb8328),
+S(1d1ab819,80b10336,75e10627,b7293cb7,7f31cd83,ad1a043b,ae9aceb4,aa0a7463,cfd42f33,c57814a7,acbb3f08,dd882a4a,c572412c,8502e82f,a3180452,7d2e0151),
+S(98b12e59,8166e430,ea43d632,f8a4b981,f3745420,6d1233e6,f9c8756a,47dcf4d2,4f65841a,b8f18241,a46eac62,b875173d,350c78da,6d6af3db,d9fb9bbc,77f33b96),
+S(58dab35d,9ec4e48d,6a7e619b,e926ec2c,45f67be3,3d89bde2,38963966,c96b3270,e5d0aaab,6191f65,e6340837,747339b5,acd35b86,823e06af,85eb54c8,7f926564),
+S(41dfb55a,cad77bbf,80435b8b,7f2366e3,f41e64f4,74bd9895,dfe86e8b,50abfb83,147a71bb,3809c321,d960ef5d,9f767bde,7873efa5,c590e799,db46d8ba,8c1dd2cd),
+S(d739d1a4,72dadc,eb59a120,3b8de564,5d5c1e1c,5ee96ebd,533442e0,de0c8684,610f527d,8cc0ddb6,cb17e24a,51aba4ab,5ab0d8aa,9ebd61c,5d26cf93,30a18293),
+S(f887ab66,ed92339e,8fc9d8ea,1af72d3c,6426ba1,a8be283,e2457a97,342dfb4f,94de30b5,4e69b56,fefae855,51fd5a5f,111671f9,c5a733f1,1ef7464d,88d5d66e)},
+{S(4bd266bd,4a730879,cb06d8dc,bd8e5854,c50b6221,d83e0a10,3afcb2a9,a64cca67,a4654a1d,835a51f0,5a877200,1768c549,909212e5,78e3b1d1,df935959,93650863),
+S(15fce59,bb77b091,90e5c39b,ae696127,4d51068d,ea51ce52,6c8525e7,b1ee3d1e,b55eb928,92ae639e,da63a4a6,f14fc6f0,ee2450b1,94df32da,9a1004a8,699797a8),
+S(d3e5b06e,7648321e,4fe95ed8,e1316474,43996e1e,2cff5283,26783ba9,1906cf7b,2ad6127a,9e45be65,26ccdf8a,460cd441,cebb5689,9f3cfd41,2aae39e,c838b2c5),
+S(114032d6,8e474d1b,a9fc40c2,f22f5b1d,6d12b9dd,9cbc286d,38274501,218c54b7,9dd3d787,706a063,c0d81bf,d1cecb6c,b7b5b446,6d7c955d,22cf05e0,822a9ef1),
+S(a230cd33,6bb82fca,bee35435,dd0d560f,d286785a,f5425cd9,a4c9abdc,819e58c,57d99f9c,aef9cf3d,fa66dfb8,bedeec77,e21746b4,27e4869,39cdd8af,5a9182d0),
+S(593e3646,546aafcb,fc8a293c,6cf0530e,5f1f2639,2f3ac2b0,b136583f,2981e8e,15c4b596,6589f9eb,5fe0d0a4,91e768ad,fc7f5283,875bfcd4,3b698a3b,4f268b43),
+S(37729a9c,3ad25a03,e1cb6fbf,ff486df7,d518809f,66099d27,d203dab3,3d33dec5,dfcbd1b3,7905c99,21269ca,283405c5,208ef5eb,e96c0801,f8868631,69ba2c23),
+S(46d8c723,f0b889bb,3272389f,ba3ba57e,d30d701f,7f730d0,c7ebc34b,8212cb9d,bc41f981,2017d9e1,1e4e2277,92b6e804,6318776a,d552960f,c751c36,c6d00a2f),
+S(fe29d8c8,fd38be9f,c316c2b5,ab74dc69,ffbcc390,1e59df52,66aa345b,6b1408a3,338ea0c3,f80e4400,53858842,936562f2,8b9ea4ea,31540868,11e87150,89e9e304),
+S(99ddf18d,cc6505b3,78a4cbb4,f45bea9e,44726ec1,cd51397a,d536dad7,b1b3ca2f,fa8e8ab4,b6071958,c237e5ed,5e0c0962,61825572,3411bcf9,8e923b1f,e748ce4a),
+S(14c9fbd4,a0fe77f,1f518efd,13dd7eb0,cb7695f8,219db1be,d4e76fee,813a34dd,991011d6,f67f3e84,a54c2357,9897dff5,f2a58cd7,40bffbf0,a876a611,535f2540),
+S(3cc95333,2788684f,bbea85ee,f49a2ae7,51d5e29c,48642a5d,45236bae,a122e5dd,2ed99469,8084af0c,44e7c819,cdeaf311,72f08aa8,ee70644f,ffa2dbbf,bf9c0bd6),
+S(9fd0c95e,f60c6831,959f2b44,5a15a366,6463425c,3a64d213,b014edad,bd22e711,8bf7b7d7,50558a66,4481df71,2c14fe8c,9411d8e7,13fa61f0,fcaac1c9,2c1990b7),
+S(b23e3552,9d02bd4f,bd847080,a5e9dc69,964b324d,e16af0a8,857f46e0,ad9f32f8,f3b98226,f77e4393,dc35409e,69269fe5,957a3e74,e5e5d7c1,ec11c4b7,3f5ae025),
+S(9b674b33,b7bac25e,88896436,b6c80dec,be8cc797,fd34603f,a4007318,415b95ab,50811d7b,bf49c464,de0b274e,2acb4dec,5786043e,6bbded6f,13d0e131,c3b223ea),
+S(2cdcffd1,ac351cd5,21216262,9a401b63,2f4f9c64,9fd0e250,2adbd66b,3a0855,54ca3d4b,6043a79a,66cfb5b7,37127ee5,c0a3e0fb,a4214052,6da020b0,c757f73e)},
+{S(217de5b,a47e8de,cb9d8dc3,dc8fcfd8,203c514b,b9d7bb5e,fb03584b,aa1baaff,c77bddc0,3af15e63,912e51c7,19bd8186,67f999ed,9bd801b8,11bc289b,f12864ed),
+S(799812b7,d79876fc,7290c3dc,18fc6ea7,1d224373,2e79d17c,9737a47f,29fa8502,4118e843,99b5d024,a82002f2,7e791cf5,badd2e5d,98ae1f30,6d98ea6c,d1d9b4fe),
+S(8be7f251,78840efb,df56c470,c4db43dc,54bae1e2,7cab2bfb,c7a6641f,e34f00ad,6db39ad,c7ad2102,90c29073,e48225aa,6d51f27d,d97c0b0f,e241f9fe,dbe1564),
+S(bcba249f,59646b10,4f6aba48,1e886117,be0fd815,a6220e4f,f5a08eb6,ac16c612,e8d84c45,88ce9926,99b2d6fe,5ead0615,4b32a372,209e06d0,c3d8c42f,a0e22b86),
+S(ae1a61b5,deed4d8a,915b94ca,72aeddbe,2c725ca2,86311610,476d94e0,73fb1415,e1f62c42,efb2da24,47b3b5f0,834617e,e06078f6,78ebf4a3,d38c45c2,f384e1b2),
+S(a1e069e7,74cdf680,41c5aea5,39552c4e,bfefd4b6,3869db9e,c5532b09,e8370996,cc1216a0,cea149c1,f19ffcf0,eea82fea,29fa7f3e,b19d5eb,7307904d,a38652da),
+S(e6433844,64b7b1ce,bdbbaa01,aea053cb,a36e0cbf,e1c9a652,8c714a45,6b6b66,22f16bb,17b781e4,47fc81d5,1ad5ec9f,c158b069,7c446bdf,52da86ee,6b4ebe8a),
+S(accfa38a,10f8d4c2,f8342e29,272f7c54,73d10562,82653714,8b67a26c,5735ab9f,ac0e6829,1043396c,be583305,106514ae,354532ac,5ead4594,dd5a6d4e,332cec1e),
+S(d201c17,a1e9efb1,7bc1c655,48c100e2,450614aa,b45b8125,9f2f7e31,4cfc924,4677a168,1eae4650,5c5d6c94,a6984480,43f3793d,ab496ba0,ab86064e,8b48ae23),
+S(6612ab47,b35d942a,98427ff,ba59b78b,fe44437e,b87442a7,794e3274,89c3b335,cd540fda,9abe6c72,e298eddb,6d8c5a3e,c0953eff,4a61cc54,22d01ff5,f7329785),
+S(35b1b6b9,ce9d1a9,802dd987,745c615b,87a96a83,d1b2465c,cc9f82f0,1c73571d,eee3f5ce,aa7961de,dbb80107,36e6758c,e9cc8b0d,58a6dedf,ecec9f2c,7a73865a),
+S(c798e22a,59e65aa5,6647a86e,f9a91e80,98cb97e1,81e07b4d,c3fdd428,dfc3b1b2,45f881a3,1b10db23,ca93210e,22398cf4,81a6a61,6496fb5,ab82b456,7f99a392),
+S(39d9dd1,955b77dc,4f4d7436,9d7785a9,c8ebfbc3,d359f15d,8d38d8f3,1097a2d2,64040f85,819c8a31,94dc8ab4,5d794fd0,dadb6826,70de6629,5afaaa1e,c669126d),
+S(a9168a3e,d48f2332,48bd4a53,dd37e37b,d24b6284,a2522671,c6494bf5,84738bf1,6ec107ed,6f749a16,27a57227,4d7bcf8f,8ff71417,7d38f6cf,64040ca3,3292bf65),
+S(88b92b0f,67c3524c,3d7b04a5,bf539b2a,a244f3de,64867754,bad51192,292a6f3,f65e55f8,f9239573,d77176ae,c976c545,a0e4668f,8c2f2fb6,cb2499ae,94af11ed),
+S(6c7ef071,c8f4b0cc,67e66561,38d5354d,fe5c9edc,5cea2eb,a43a5751,317da5ea,40894203,7cf76552,33da385d,43e1bd8f,cb871737,c4b7f044,a44042a3,34d4bb6c)},
+{S(761cab41,3916a1f5,e131f337,e9023519,6199f789,87ef390b,3f2d8bfa,b0e9bbc6,f10272df,f7e91c40,3565da85,17fd3011,bde7b797,526d3c3,f00fb28e,f26dbd91),
+S(a6bf4e6,9cb5faaa,8b1308d2,da8e2ada,516b5f18,733156dd,2de04cb9,ab1b0e9c,b84be8fd,2ac4b2f4,2934490d,2c7de2a7,8be093ea,907bab1c,94681e51,3ba7f4e3),
+S(4d280f0d,190ce936,11ad117,ad7ca092,d61fc8cf,db1fc752,5788c7d,9cc97535,f20a17ec,c8fdbfb0,2db3b21a,acd35527,25a7aa8c,d20a6e23,bcdeca87,a6fc2112),
+S(fc0fecbc,c71d83d7,c888c451,f862474f,2538e8a,800c8a93,f4c30be8,ef98e709,3e809271,356b87ad,87d15888,26b055cd,6ec7e44d,3c9e404c,a27a473a,8cd093cf),
+S(c3746b0d,f41e4a85,be3bbe25,c1d64961,f80ed512,8ad3c3d6,2cc5b9f9,b231dabd,382a6d3d,d970f8d4,abe3a72f,58f0cbd5,33dfb21,b92571e0,19a0ed82,55974b77),
+S(e5749369,b1e25400,2927cc8d,3b15b5a,dad570b2,cc6ab264,a8af3de5,fcd9a458,38cc0e66,e5b86153,1b8b7aba,c266235b,fd34833f,9b0a18ef,9ac361cb,407d774e),
+S(d3463d82,782ece5,999dee44,cca08ccb,1d908f11,7f19d0e1,93f42e86,505470ce,ebb2cfb1,f948fa0,4204c39c,cd3c12fc,6379418,33e9ba07,cd714715,268e8c85),
+S(9c88be4,50bee26f,14afddd2,80e247c7,7d07dade,81c55945,4091d1a5,6acc28e1,1a943839,793d91cb,865a3213,4d4ef1cb,927a90a5,e9da30c6,c88d72cb,1fef79),
+S(77d8a57e,81ff4149,8703d289,c6d2d6f,209ba69e,99350060,d8e53d5,eb3709a9,6b692bad,ab736bc8,ccc1362c,24f05260,5c3d2b0,23deacf4,641c56f5,c2b79fa3),
+S(64ad7f39,a9e7027a,51eaade,8ce6650e,2141e655,b443fe8,f67afbf1,7c970189,a730c9ce,acb21c6b,ba834441,9f417a6d,47ca382a,904e432e,3fc2235c,222acd1b),
+S(6f1c3296,67d9cbee,7c44cdf,e5614882,1ab9ca61,1731c1a8,28520698,7f94609,ecd182d9,eed899,f9b8e5f4,71e5805f,ef716180,b8d1499c,82f6186,d09a0338),
+S(8116e0e6,75ee5fe6,f0bc86c6,c3830977,a4432546,4d027eba,fa242f13,abe10e55,8cae3d9f,af3e4b04,f9555752,74eb60b,1ccd5f10,8b3e52e6,47871a5a,1671fd),
+S(1593b19,7dd26cae,e667733e,d4b564f0,ff212f26,1bd6e81c,61acabe7,37b62f8b,3c9d3e7b,52301084,7a5c2f2a,39cb68d2,b9a88605,a12cfb39,fa790749,7107b746),
+S(4bde92f9,1335891a,1f40ff,e4310cb4,10e2b172,27223f80,672b313a,184c9a26,c24904b1,c5d83c4b,31748a87,576880f2,73719ea,4413f945,e8233811,5282347b),
+S(e04ce78e,b61966ca,ccaad985,376f23dc,7f4e5c22,7bbba119,a99911cc,b7fe0674,f5e3bee,98daaa6,1f45a2de,6e95e919,68f33ecf,4a71be8c,8fe5d925,92e43989),
+S(e30ce87d,35b2a79b,ac96ede0,c3b632e5,506b5b86,22a0c483,c4a6038d,d846d191,d92e324c,c5d9a340,e69050bf,198063b5,e4fddd9c,a3e466b6,9fd00831,3eb13453)},
+{S(60b01067,25cf781d,e78ba725,40508697,3f2ff6ec,1511515,6e19384,1fddda7a,624ccf87,f0ec21b9,82efbc4,6d4db878,5d20fb8e,dfe663fc,46660bb7,98c96eb),
+S(3e169750,b508233a,580f67da,55ddf909,a6bdedb7,7a7c8a6a,ca262be3,d6e77a93,d8e9c3e8,733dd591,722f7020,a361b2da,e6a4e71b,7001f1ca,2ac8c89c,1b56fcae),
+S(a502b4a5,7f7da399,710ced24,5452f975,314b44c5,2c6c1625,3e4c183c,d53f18b1,814e29d1,67240f5f,2a7a406c,bc0e4980,69def56d,c7e1c16b,2a67a903,59400c37),
+S(710d4fa6,d7e2ef8e,373a011d,f28b2a15,88e9810d,c1c74a69,3b3e5de6,4bbba781,c39916e4,231ac0bc,90d1c25f,6768b4a6,cb3efcc9,99b42dc1,27065953,bfb3b307),
+S(9735e24d,98430f34,7dba7882,9de4888d,1557f650,ca2ae2a1,48394c36,9b4931ae,9b5e03ff,c52da7a,4119c4e0,c86aadc8,eb3172a5,fc430cb8,ac121fd3,d2949b02),
+S(3eac990,f2b5a7b9,7ad3c31b,830576f3,ebe86f15,efc78a0e,ce51e592,190710aa,2e75c1c1,786110a9,785a21c4,d72576b0,9fcddea0,b1828f8b,4a7eb45f,8d0f7081),
+S(a797ac71,b5c615ab,52e5341d,5420684a,7ed20dd6,b7cfd205,2ef23b45,7302d01d,32fdc8e5,eee8870e,6bd9ee55,821bf2d5,30798606,85f4c9ce,4534b4e1,525e782a),
+S(e9b05915,1e029c34,7c30a260,138378e0,a609051c,33b2da36,3dce9dc4,19b2deb5,5494d79f,9edc31b3,9259c82c,14f6c757,be0159dd,c79a8797,95af6150,484d8683),
+S(8ed4c8af,27fa4013,a9d9826e,becd79a1,30cb2014,96e583d2,e2d80eab,573a5eee,4bd35c5,cf78a79c,d5568968,fb1043b,c8cb021f,b5729faf,509a09d8,b82e10c2),
+S(14230106,2f11cd2f,b0e8abe,5a76a7c4,2eb3f019,ab8503f3,afa0bab4,487a4928,480dbfeb,2b36a3d3,4cdfd029,dfe3a42d,6297724a,15be840b,ff197fa6,ef5f594a),
+S(425fb125,e156d90c,31dea3da,6ce5f3f0,2d1d78d5,9ec17c65,e89c3817,d10df34e,2e2a12cb,d621042,8cc2ce77,df2ec8cc,ec1a8a8a,9a2a2a3d,b537f1b2,13ca871b),
+S(b54496c9,57e6e359,88118db8,26be100b,affc546b,511aaa43,6be0f72b,2072d698,4174ec3,ab8c5709,581d797a,831c341b,131d94f4,25715984,7c6b95da,e42d6ac2),
+S(edb85684,1b5c164e,eed9b5d5,740972d5,781922c,e9d365c1,24475785,2d4c6602,56eedd35,dbb97163,df4f95d2,dc106a63,114e3f44,1cfb2d74,c57a51f9,87eebfba),
+S(de82cea,e7a0a2c0,32db9642,49b47662,201721ea,754aefd5,b304d7cc,ab3ab426,8f533e0,81b88901,ebcd8547,3ade77,776ccbe1,fb1d2ca7,b038c205,be8a915d),
+S(7e74f42f,e8d3e772,43d11177,ed249ea7,2e87ec05,cfb5af22,2de3120f,22b8214,2978928f,ca85867e,c9563f6d,5e044fa4,2eb480f0,e2ca86ea,acacb1d6,66bfc426),
+S(995857b7,8066f2b1,473eeacc,fadafb7f,36fdc5d9,1ab5fd0b,3ac55be3,91935876,631de25e,51831901,aaa62ca9,391ae54,7dda101f,26ac6fa7,3396f885,3b9fb916)},
+{S(a707efc4,89165c75,7edcea3c,ce729b44,91f04142,3fc6ea9a,704f52df,c8a0650,f2e7657c,6c618494,c01c5a90,d06b625b,c9416d63,f7b8f809,dda5076f,74fa2c92),
+S(e670a33e,75e7d765,9dbc17ef,a0466808,3c57e661,975e8197,84ed85c6,838bdc7d,df5e73e7,4a1f7445,d140fc7c,eee1038d,333590d3,6626d5bd,bdf399e,9d9b1843),
+S(751a8413,11be980a,5a884850,c9101021,393634c4,862d6806,2b1e6855,2fb42d9b,26a416ba,afadc235,425ce35f,d72e17b8,6d13228a,ac64f30b,5cab853c,1d80a1bf),
+S(f044f2af,6d6842d5,946ad6df,43784921,47c45378,721d1e39,ccdbc033,eb0d07f9,68e474b7,e3b1a102,efecbe4a,a20134af,9f3ddcfc,45213188,744f7816,f381f942),
+S(24208410,f23c4fd9,42fca91,94b5da3e,de46e511,7b0446f6,e92eae4d,bfadef52,b17efefc,ca0bb9a5,1544f8fc,15474328,84d79be4,bb7cc122,9aa5d66e,450c4849),
+S(6aee88ee,18046ce,6399c111,2ed2e9d1,5ae30b0,663b75d6,a20baa10,57a0287f,44155fad,94ff97af,ff36d407,4f0273a5,adaefee4,e2c48bd5,bb1973fb,53d65d20),
+S(b112113b,921501f6,208ace14,74cd923e,c4ed6cb1,1b1fbdf1,2786f43,6d2efb0d,d63f1ebb,f305ae31,2b0fe166,23a9cabc,b7c7b76,1e62c8a0,3eb2388b,5635cdb5),
+S(74cc4471,707dd64c,bc0688c2,1d15d3e6,863adbcd,3b6a0a08,78556ed0,239ae027,43c03176,1fcf3c22,3a7e70ca,9e27690b,53f8b3d5,a3782461,6d41fdd0,7202ee6b),
+S(a23a0d76,d391dadd,23e1654d,a654f0ff,eb8eb983,fb4162c9,a9956c12,fb77d5cb,66e0fc9d,311c830a,3a2229,fc4f82e7,43592058,536a9e7c,722a037f,f87f1363),
+S(ea0c9f05,6e39f66b,5ab9f833,5c8e4655,f4ec160c,7accf824,aa1b5dbf,2fc1f8c2,cbffc05d,64ebfc35,7df2966d,a170fd7a,a5861376,f8d7f3ab,6c004671,e0dc812a),
+S(ea4ba4c9,2c8b511a,9559c223,abb33c27,22cec491,e48cd519,74b3355f,4e42cb7,4a4db6d6,f426d463,4d6717e3,d3b6ab71,88ba832e,8a18a4e0,4f17a698,bae7a41b),
+S(939ad0a1,a64da497,1a6ff2a0,a709c485,30d752ad,a954c8a,f632f969,95561aab,9a763429,5ffe700e,e36d1d65,f53ecbdb,92bca222,e5e2ccb1,55cf3a5f,c751149c),
+S(f2548d26,ae82f5d4,38ac89c9,f8a5f974,4632ce26,8fa7f62,9446a19e,2f7c8cf2,7e584e28,b1590b83,31ae2228,81eb28d5,14ac4360,b60aff7c,d5061606,c5cf4014),
+S(a4156ded,fa8d19ad,6471653b,42342986,74f4f87e,a9258de7,6ad54fa6,f3b986ef,ec77cd09,b77e2ca,c7b4ad0f,5e05004a,593cef18,6c57145b,3f9510a4,24ca5ab9),
+S(12575248,e8aba15d,28a06860,b5a03e0a,942e33b7,e5099128,da2ee781,98333c51,bd3aa2df,cf99aa06,593a3c9a,3d22dee6,bdcbafd4,414a47bc,38916a19,7c2c2025),
+S(b4262622,5bb55310,903f5f23,3b0591b9,adb2a909,e09cac82,503ee54a,64372572,997ac9a4,f1a21373,121255ca,9b622dec,2b4e7652,89731f03,37fe5d94,24402685)},
+{S(6efd8760,aed4f239,bd97a00,63794c4,ef14acc9,f5b94862,4c7f8b51,3ff35278,74acac29,694c5307,aa221b37,f2ea068a,a269fcd3,c6d85aaf,a8c8eac1,17d7f997),
+S(da759133,159b8d93,d75c9aaf,616d87df,8f7dcebc,a518d4ca,da418b7e,39a264ee,8ad545ae,37548bc6,1702d08f,8de7a2c4,3b3392f2,3b44b186,fe1592e9,2f102577),
+S(29bc8d55,faa61a53,643e8a7a,8f8c039c,bb808abb,8ec4a96,b294e4e7,a5a1fd2b,4a170217,7131ba3,275bb1bd,797809ce,cee979a1,d2f161b6,8b632622,2f92100a),
+S(c15e640,b71ed510,37d92f02,7de2ffb6,3524e1c,208a6722,aadbffe5,977de2aa,b208b26b,eeeb6d6,1d783e21,35e71c04,1ab78e0f,96315560,d3729c6b,cf69c6f0),
+S(9a738ad5,89e86d47,84abc74a,ad4c781f,72ad7fa4,91654392,510ae297,4464c1c0,234423bd,6b770214,7e157d65,e35cab77,62794253,c3e82487,8a4fe726,6105ad55),
+S(3692b32a,5be3acc5,3320e434,42c8d1b3,235d0635,49a493e2,e4a33b49,f02f5504,ac61c2ce,38ac1b0e,7b3c5d80,ce988759,18e9ff5d,669f61cb,b285ad07,6d436ee7),
+S(dd501ea1,3aaa02ce,619171dd,4270fda,aa164f14,c90302c0,5a3e10c5,bcafaf5f,20ba19c0,8561667b,d24c59a5,a812fb32,972f9231,19a4d42d,48aca05d,9fdfb61e),
+S(f7e3ec26,257636ee,74eb2c22,dc9da3d1,4d6cd511,a6c34d18,a59e3d52,b2099502,a2a302d3,50790316,f99cd37,66e61ea4,8b9b3a92,eab54f08,dbd6a061,5f495eb5),
+S(281dac89,3afdc45f,4dba86a3,fc5b863a,23f55d97,e49137da,c7a31f64,a0621a04,12f9a757,c8ebf05c,8bf34270,77c6d2fa,852aee99,af3d4ff0,9c6522d7,5becb9b6),
+S(8de33df6,91ab87b2,9e36c69,687cc788,dbe100bc,8be07786,892aae4,e44d5834,1a9c323d,65aca9dc,8a11b116,4fb2ad88,b8625f61,72efdcab,88da47e0,7cc74bd1),
+S(f2b7d303,6342168d,75c1ab90,c7045095,d8f415cc,96a86154,97425cbd,e4067750,ebd266e0,7a10d930,80241d0a,218eb94d,51596e36,953ae60c,25fff023,25920883),
+S(8148dcc3,da9ce438,7edd33f,484f6bc3,6ebf7b2b,5d5c88af,c22542f8,5c943a95,591a62f9,9796dd71,cb18f64a,8e30d6e,9ab8336b,e9c3a684,ecf891c0,3c6e836a),
+S(ff688510,eccb5b50,957de634,e4324f21,5cadab7b,93bf0dc5,ce94736e,a93cde8a,37d46d44,e61fc958,6b0da8ac,2023bcf5,75f8a9c7,9d30c993,e3d9a650,764e1ce),
+S(eeec9568,1a66969a,e524bd76,580efde7,99302202,16aa7549,d39a98b2,59d717e1,64c4db73,487b23fd,ab74b50e,53fc8d1d,336db703,444b5844,b0d8756b,b84c289c),
+S(3b2616e9,b51808ef,430e714b,ceb9a747,aed9e31a,a9caf6c3,d57c1565,cd9b7f88,e6b4bdaa,aa1ea551,4af2705c,47f07417,b2a03bef,2b406760,e86765f7,23cb0438),
+S(5f0eef38,c87db43f,6498709d,48c445a1,ac50b40d,f882ecb9,414a56e2,ec927ad0,8197f585,73b0c534,49c04d6a,b0baca10,3c97d9c3,9a61dafd,fc793c5f,df7104af)},
+{S(2def7e67,7906cf3f,3677e7b6,1b0a8f8,985fbd9b,23265ea7,18a5c16e,139f0a8,650a89bb,df8c8326,d364fae7,558de827,a529780c,9b7bf8f1,c6925632,7c59c74c),
+S(170634ad,de4863bb,3090218e,543c310e,9bef094e,94003fb7,5f89b076,757f8900,b708e4e9,cdb53954,2bd573f6,eee4774b,ad2cd18a,ab0b0157,dd1d3aa3,aff70dd4),
+S(caf1623e,21907368,7d3a686a,7d48f9b9,953fda37,3f68ceee,66b5647c,ba9ac0c8,95ec09e2,533a173e,1773b047,a0702977,3167a96c,c7a2bb42,74ecfd4,9b1b7948),
+S(dd21377b,234e31e2,7a42e856,305186d6,33eda53e,5bdfb93b,f83159ab,9cd37bf2,27a40d9d,9bb0437c,c079c24e,e3a8a10b,c54c8af7,6dda2e35,ab61e260,ddf6feaf),
+S(5d6d3e69,3865d2b8,4c0061c8,fc85da28,edd6ab37,bb6bc5d,eaef0d,6ed7d0a8,bb15835f,e6074d1d,c05e4840,a22532af,b33a1131,80073cce,17b77822,33dde5ce),
+S(3df62006,31fbdf0d,8ae7d924,370927ca,f27587a0,d7bce798,e6556a8c,62f108ed,c4aa6712,405c44e9,389e0a03,952ce263,c073b849,ec66cb7,b9e203e4,12017771),
+S(d49653b7,639eeba7,e9d82b1a,61b0e1c5,1363337c,eed06916,47f81c25,b2f71e6b,f1411513,77e6553b,66221284,3f390c4d,ef25b316,e1123b19,a5f77c97,b4559e79),
+S(fb4a40b9,77153349,3d316d3f,2688f6ac,32b63e35,6f8fcc17,ca1a9008,b9a90745,d49d6d04,ba60238,5cca34c2,6e5e3ea2,8396a459,c9f54478,f1e93e94,fd3545e4),
+S(2b5f9b4,512e7676,82d7f93b,39027d9c,4d2788c4,b587dd66,8e7e2a49,2d1fa3ad,507b76a7,33682d56,6a2773f5,c3cda342,2152e9c4,9c204aa,bd015dc3,9c9469f6),
+S(55e1a77,2c3406b7,b300e7de,d35ff44d,76fbb312,7859c80f,841bd730,45c0c006,f7f2b9f4,7c2ec8d,9b476229,ec773a2d,7316b391,8f98d540,e110d196,58cdd0c3),
+S(269a6ad,e6e25392,21f59cd,10456fe1,b5e3a756,1e13e578,3cc6b7c6,ef145ac,3827d2be,94cde1f,ded8306a,6619b933,ac2515cb,45cffd75,267caff4,1e76d6ca),
+S(e48e1e7,87d48c62,8e85040e,2c836be9,cfb20d10,51a251cc,9e46b589,485a29f8,aee94719,b64713a1,ff2f2402,ec6a19c1,4df12f40,6214c49a,d9b00234,4325730c),
+S(7612f9e,691cd23,701a213,79582527,d658be1f,526c220e,da6fc536,b3f7780d,a21538ee,e80268c9,ab6dbe6d,1890c4f2,99aa8dd9,82e9978c,b6ea37ed,53308c10),
+S(34761add,2f2dfb4a,6adf1f0,81aff3c5,1faef7cb,bc1a989f,3e23afba,288c11ef,50c8b3b2,9424d319,8d55c10,3976f312,bfa480ee,9e93caf4,b75fa97e,1517d3a1),
+S(8e57bcd4,5c8e9789,624ad4b3,8a9d5be8,bcac139e,a0abc310,a1c272b2,35942e69,8daf7fa3,43dd401b,c8aef9d9,c102b577,28535818,3e379de4,5e5ce268,e9f9b548),
+S(b9c35f36,2b93a8fd,21c9307,91c659b,270fbe0c,965c8de8,b5b45ff1,e4c8eadb,2e506d1f,a9fdb177,e0a818d,b40d8f67,2b5ef2ab,72f051e,8f6eee9b,fc74b9e8)},
+{S(9705d56f,f75c7d2c,bacc47a4,a6cf8b10,300c688c,fdbd1b1,528f41b9,652d49fa,c53f7f11,896f2edb,fc957dd7,2cc90856,c5df9d86,43e42489,70182843,84201b98),
+S(1fb0f8f5,ce10e878,abf40518,116bbc18,ee77a22,f701108e,a8c4f9f,f6562080,8f761286,34089abe,b48bae3b,882019c0,9bcc5386,20fa98dd,4a3710a1,e4e9bb46),
+S(4a807b29,3b312ca6,acb43f49,6436b137,36748bc,15c48dcb,7dd35e75,fd2a5668,6115f059,e21f7257,c8888959,d1401db4,c77a0086,34cc2206,e8a8d4ba,1540def8),
+S(288ab400,5444930c,15410269,9757d7fe,b8410241,38c45db6,d6a628c8,e0100ad6,bed94f18,78f4b61b,c0b557d3,cecd946a,f9d105d7,a298cb73,fccbddd2,4210cf48),
+S(22a7d3c8,85001932,985e9543,1e470770,f664ffd8,e4593aca,7c93a7d0,9fe01b93,65172aa0,9a61749d,d0695269,4a15696a,947c8b37,7ab24041,d76aa7c8,3055290),
+S(4470823b,bbf22c97,7602d166,dc895df0,a562a732,f905ea78,416a74a1,eb0f35fd,1b1eeff,736ef902,aff3980c,36b47ce0,c7611f5f,cb83658f,7c5bc15b,c6e35414),
+S(bf345a75,c16ba113,a4255ce6,cd485235,d7b71b8c,11fd0d49,1bff369e,240aaaa,8a8b2999,e06ffa8d,89932713,b1bb5c5,6837bf51,aea390ba,9579f2e5,566e7c1e),
+S(9ca5d558,2737e890,f9a7dbaf,d921177f,459d791d,21f9993c,481594fe,b9aa7112,808fbe3f,cc3e80d3,f6e2703,f55b32ad,cc1ee8e9,6fdd0250,d7373b15,83918a6),
+S(4d3b878d,ac7d1878,a2cb8ef1,29c488f,59f26f1c,d56d5476,7b008e47,eb7a293,ea8ade6,a46ce8f9,4602d631,e0147981,3422eb50,e87cddd6,792a1ee6,2c338f40),
+S(2bef9f5c,accfea49,697aac36,24c7db8a,62f03620,109f1cce,fc46af89,25489a69,b39a88a0,d7d59b29,b7773984,53e6eb2f,7b557171,20de3625,a917853a,ed1f8d83),
+S(74a0d8dc,415a228f,3bfa9533,e7d4e544,f03551c4,d55b0d2f,fd524d17,835c3132,d3c7c720,c44b1742,49c2d9ad,3e9c5f9c,eb174ba1,bcecab7b,5816cba9,9057b5c3),
+S(33b23068,27e030cf,f0673254,ee13b94e,6d7377d5,fb8c9a83,ed50e9eb,4ac6d5f3,b0116426,ca9fc25c,a4f9834d,6d8974da,1571a54e,1f507696,879ecac2,5f23b095),
+S(a45a4cb8,24d90134,5ea541f0,6896387a,12711d70,6f07a850,69478780,2e49a474,bb236a74,96161e43,f708abb8,80e3d0a7,a6354a33,cb760bcc,593bc8c8,7c8f433),
+S(fba31e01,2f38c223,3750fb25,85c2c33,4fe3afb0,36b17fed,5e8d513d,552dc2b7,d6d8f5c2,745b2c90,d5c201f5,524f2b0d,49020ae2,4eca8e21,b95cebdf,af25e5c6),
+S(8a5bf15f,e026e897,190ee896,f79927a8,a8658d05,f9a0f6a6,79ac8971,4ca26fbb,639849f2,41d99df9,d217d702,4e6c5bf2,9e44b7ad,63e0b091,bd235d45,4cb07ebc),
+S(43daf5b8,4f1706fa,cdbfab46,e4ee5188,b8697efe,f6d1274a,77af6bf7,b1ae23f7,d2fae1e8,721553b7,e63130aa,76f61e96,a34e60bc,fe7bdb8d,6879a39e,db08d8a0)},
+{S(5b27aec1,c644f0a9,ba7f6486,9a960ea6,28343ab,da3feab2,4a2d6add,754866a2,3d1f365c,2aee6c1e,ab2f1879,429b6275,5d1bac85,2998ef25,8a914bfc,ca280b43),
+S(472e2d82,220169b4,e249b18b,ee3d0188,70b91ff8,77fa9f64,9a23ca43,a5aa9271,908226fc,2704e162,c96297f7,6af76d80,32b7845e,9b998466,cd106e37,1a61feb1),
+S(e9d0d14b,3cdd4531,f8125e83,dc3ddfda,18d64976,bb4521ae,83a9d9aa,8609b431,e1f950aa,821f586a,91988d6e,e3ca4db1,1574041d,140c64,2ba9a1ad,cd1c52ea),
+S(e47190c1,f5fa4910,6160e301,69e8a087,76a9e996,aebef7d8,2b1d7248,7d38ac4d,50abab42,dea32fa5,af0d65cb,3dd950f1,d2e54bda,47d990ee,9fd9cf49,cc552d1b),
+S(dd7cc010,b8c93c99,84c19b2,37aa2b6f,1e51c765,7b93bb9e,e4d0ea60,2d6dae8b,9f2773e8,15aa182d,f6ee5e70,8af9e8cc,6ed5f82b,994633b5,545ff889,c5503e5e),
+S(6e4656b5,aa8f321d,80a46a7e,721ab22d,f5216f9b,602aa74a,84de050b,a3851d8d,170a272e,f646cd5b,e3c1d9d,14e19601,2f7b140a,136b509e,580c4800,7c0fa08),
+S(d0cccf87,813d74c1,e0ef5315,2a2e82a8,9d6729bb,23c8f450,d1e5af64,4b7f6341,b5c903e9,dc51b73b,5cfaed20,b9986f80,b19aed65,d11e624c,53162315,2ab2cb5e),
+S(87f7d90e,8f519af2,34262929,c4801bdb,fe472f0e,3eb746a0,cfdde906,1697a540,36b97cec,b6a1766d,b349034e,a980f0d3,cc653b,5ae732f3,e9868d37,1343db0f),
+S(feacbc45,43a59a7a,3fe37bdf,5f05885a,a38cc3ae,68e423d9,e90da9df,15569f45,f1aaa0e4,230faf54,c1a394c4,fab80639,184d42bd,62fe74fa,d2b9d8de,2bd13779),
+S(db4aad1a,7d5b51f4,be47fe0a,d8b14711,e03e0283,3076470e,7291f310,bb88b65,51b5928e,9e6adc38,be8e5e7f,a93336ea,4ae1f65d,de69b73c,62e04384,fcca96d2),
+S(f6a6bd4d,3f763afc,721fd2d9,ed42d34f,df38bc9,4fec069a,8f8aeb76,8b23f74b,d513f993,f97d6fcc,9a7fcd74,458dc00,437fb611,b7e09b9e,a9e85c93,1facecb7),
+S(982457c5,6c22522d,e0d10fa0,64a0f8e1,52fe9924,6f20a794,81df8fac,8fc08ab7,2e080dde,a66a3e43,af44f9ee,bbb9962f,16110b33,b0e9d83e,38333aaf,89be29c6),
+S(2cd27cb8,d3646f0d,a549cf0e,94e70cbd,c40082df,b4a04456,47579397,e3e12d91,c17377cb,e2ab57d1,1d6c5cbd,c5fef865,440dd8eb,cb5cec53,124872dc,a49409e1),
+S(6f34f416,2a190923,8a2b5561,54a056e4,9549d6f1,72929ab4,fb49175,b7da0cb1,2a0ff98f,98422e19,e394f868,7f2eb9d6,dbf7129c,c98df378,31895799,445a5211),
+S(3190285d,d898dd64,770729cf,25f59339,eee3971f,16b08450,a87c9916,efb1adca,5423d919,1eb4bf71,fa55c153,161ec8a0,6f5930bc,17ad25f9,39f229d9,8af5382d),
+S(3a150c48,d4c56e7e,9d910864,29b43219,9c95881a,d481e0d1,59aaee93,b19ceb72,290d1c34,f241d3b4,f7bcd618,f585578e,7d17a89b,9be52eea,41020f37,e1f521f2)},
+{S(53512a21,4a659914,82cc157f,da02880f,7c4ff9e6,47a93136,c1e55725,9ce7132f,3ccac75b,13cc40fa,5ab2e017,80f55f2e,b8e6a7e7,22b2e6b1,13a28316,b3c99d3),
+S(941512ff,9ddbed5,13d60b50,1f3425e5,d210fab7,f30b2ffd,db6bb10d,b102cfa4,ce038b23,257413b9,f3bb957e,43b25747,49fdb5c7,a975667c,72de28a4,46cf4572),
+S(cc2210ec,ee7d9560,753ef5c9,1ff9590,230ea13d,8416d73e,47332720,ecc63f9e,cc800501,dadde2a4,152ff67f,9d430ed8,3ae15e7a,e5bb493f,95d41167,327eea9e),
+S(384629d5,414c9230,60077a1d,e52fb3ee,ed883b32,46d6f21f,e18285c9,2b1562ab,9aa889f0,f0bb4632,7ff7ffab,beb7eb30,d8730560,edc85521,425d7f6b,372b2272),
+S(1ff9dac3,a65aafa9,8693a45,3ac3ee51,915cf4ea,1651a456,b1a03aa0,250e9d97,9245a361,a7831503,be192d77,2f592cb1,f9129287,9ccfc15f,494eb437,9edafcbb),
+S(448f1c1,db9f6274,e49511a6,26ad249,e2c0b808,1939a383,609bdabc,dd94ade5,6c142261,2a8a6cf4,1d4bf7ac,8e6e7c87,2dc33b72,a87ef595,e9e0ba72,c68fecb7),
+S(c6b5006e,8fabf0c,d3e72c2b,45368021,b6e53820,59fcbca0,3da03181,b72e6eb7,c579f919,cb4bb266,a527a446,80dc9300,629ac1b7,4a5ed005,f5c455ee,bfd5aea7),
+S(f4d156ae,da9f6e55,f455080d,35fc507a,bcd2b23f,de6d893b,5ba039db,27493953,7d45e992,a2d4b8cc,41c2849c,34e785b4,8fdb39c2,e715328e,9f7690a7,31bb5e66),
+S(bd72705e,9d2a78f5,6d39be16,b1aae55,da527752,c3ada8ad,3f715d37,7e3784e4,5b5f856,7559fc2d,b7088120,9e71be70,db2a4404,e9076084,7f4d7bd4,e2aeb3c7),
+S(9c6bce85,191030ff,c60b2b07,c8187f79,249fc982,47508c9f,2797da3,c21c06fb,dd7be1e8,86931a24,925e899b,347a81cd,85eb17bc,b73f9cae,1097935b,462d0937),
+S(1a357743,84feeda0,405e9e16,28657462,218f4b2a,7921ed05,dccabcc6,6fe5aeb9,8e44029f,7b28b880,9640e5c6,60131513,e283ef66,983770ce,686aa706,81b1aaa4),
+S(d1908dd7,f1b5eaa2,a1f9f066,683db7,b3ce644f,77a839f1,488c90a1,e372f18f,a221de7c,15bf27f4,ff71f3ee,fb068463,79d09aa,3b6e8b82,bbe9eac6,8c00738),
+S(b7be7d12,1e964dda,820fb389,2f9e99aa,36e8dc2e,7498ea80,34af4397,ffb82b91,88813b9e,c333a6c4,78b627fa,afe0a657,dcf449ce,3a5adaa5,662a81b0,68b8f5ea),
+S(6a66cc8d,27ad7843,ea1a9b74,373e413a,1b3b23a5,fd25a58d,6b75a231,b97538e7,afb5aa7f,f3cbdd2c,a4dc9694,e56141d1,85550285,8dd6c89c,7938be2c,a2856c4),
+S(2b1e7d33,b7d1ff91,ac03cd10,f3756e9a,d39d358f,2f63c2fc,e89df693,5e16d3e,d42588b3,d1b1fdee,b860b4aa,d0ded901,bae1bb87,681fc257,e843ab8a,76280692),
+S(f7745d72,7b747b4,e9d6e7c7,1242705d,140ed4c4,d43d28cf,a0a8afc5,37ac932c,f640180b,6b8b0eb,c94c8931,2f897e5d,1ecf427d,7c86d2d0,772ed63d,f4cc3444)},
+{S(534e9d8,bea140bb,4970b516,c42f2677,dc413f42,9b7c56de,e261f60d,ec68f9d8,e55aff90,1098b0a9,ea377acd,b62dc479,da109514,2654107a,28c68e9f,73b1cba),
+S(f0e363fc,4c8761ad,bf4245e2,b151a7d4,335c9856,bdb9fb2c,1e53fc76,28a9a69b,4629a699,3f8753b8,6d2190f6,505e009f,6fe56739,9dc77507,a1cd4cb8,920b0ced),
+S(a28116fc,5e3541e8,8ffe043,160a97ca,b1d6e898,b6a3acf4,d150860e,5bb6a1c2,e43aec5d,22795bcf,7979e260,de7da3fc,46023dfe,8db4851c,165a2fb3,47c204e8),
+S(cf6eca04,328af9f8,e461b6e8,9251f94b,3156a63b,d440d6c2,b6dee5c8,7ead5b29,1dcf90f5,9bcd5c0f,362de1f6,1b7a93d0,6ab64659,7f77bf94,b8bed972,9f096f2d),
+S(44bcd74b,2cdc4b13,f48e3cbf,b005bf74,bd114fe0,5c2661ad,46642f8,7e952fd3,8873b17b,67848110,fd200c6c,bba0782,34dadccd,70dd83bd,cafbca31,df373440),
+S(2dd5eaba,e7cbff44,d2e56df0,14fe3577,efbe6df3,57b870ca,fcf5bfa3,78d35cf3,6922806a,4ed044eb,d711f510,e7c5c846,ce892189,ba4479d3,7ee95a8a,11983756),
+S(98294f63,5eac3fdf,f8e07f53,d24e650f,2e470b0,6be9193f,1463f1ba,c37bcf5d,6a03ece,4f397658,f232bde5,71f33a4b,a8058641,e301c99f,e1df978c,74236a47),
+S(c68b7c67,36003c06,d29ed03b,2faedf60,5ef705f0,f1172166,b63bdcc5,437bcf0f,a62dfd76,c1df5d72,680eaf7d,51359a63,82ce005d,fac432e0,672f63cb,cc4367aa),
+S(10da4eb6,72c088be,d2d4a28e,3e48efb5,f4a456be,b501183a,816615cc,f23b598a,ab798e69,26e55eb,c0435828,a8006356,5cc6ea48,892f748a,a6ed1685,36a3bec7),
+S(24363000,a821cc76,4bb2c552,3c37457,9462263e,df791598,cf7ab8f0,89178ea1,c6d07d19,d53ffbdd,f367f46a,6fffd5ac,e2236f63,26fb18cb,3a7d543b,9f193b01),
+S(459ff583,3501bc72,13c135c9,be63ef4b,fe99b731,917dd475,b356fd72,21705c8d,9c3ef5e7,4483e1a7,42316df0,9f313a10,17858e7f,ef432763,df139b4c,548aa325),
+S(43e3d2c8,44b6ec8b,b5ffc06b,d2a48ad4,39893fc6,a9748cce,e55adc76,d616b503,62efde43,b6525e9d,6de6a7f9,8831e194,9296aeb,7ffe715b,4a064166,c18144f2),
+S(8d6eb1ec,5abe1d6,2ecf6a0c,e1283a22,e1259cd9,4ae96c8b,1fa03521,8439f798,9b7e03f,f50082eb,38098a19,c417c4b2,74432e47,79faa37a,2ed5e43f,daaed45),
+S(fbaf2899,4a9ebe2f,cbd854ca,d1beddc6,7ea94f73,321f3006,7d75b327,bf25b65f,184a40f0,777c4a8c,6614f8a4,d5ffd514,3215c0ea,9caef82d,c20285e0,4477cd77),
+S(c58395d4,623cf0cf,8c7b0abf,686f71f8,6c0b1977,44ddd642,7a1c05f0,1e9f938d,1d8eef66,7d5b8ecd,af794b8f,2bd30b17,966de31d,83ba46e9,73fb4a2b,914b06bd),
+S(40c74e1f,f01ae64d,85f958de,6d1faf97,6169b00f,aef64c9f,23c5cdba,5e17d294,b21a6ec2,1b409a69,f8f6987c,1b1705f2,47781843,73ae5695,14b46951,48448e6e)},
+{S(dd7503a2,a3e15e7,39eb9b1f,856d6e33,be4890b2,f40cfea8,1bdf516c,b942731,ca9cd04e,c3789ab4,5088b819,953e08a0,b8adb8b,b2b6f7c8,661a2d3b,83a54c77),
+S(a1df11b5,743dccf0,90fba9af,bc699089,bc923e16,96a7841e,5dd338dc,a8aea428,49a697c0,45f6232c,d0d7d5d9,c7e33701,758e6a12,9a9a50d1,f173beb4,5b9b601a),
+S(fd7b2a1f,cce0c2de,e11c9f85,c245f43,1b9aed6f,a542d401,4677236f,4381b927,77bc8fa0,5639307c,463fd419,a784dcdd,be1bed1b,be42c315,dcbf9d24,a5c7dc1b),
+S(7962833,c1cad761,fc1ecf60,62ab6f9b,b11cf765,2c5c2aa9,e4db18c0,544ec275,7a8bb3e8,209f1876,d3452f6f,40c3cab9,f7166dca,160e0f51,afc35302,75740cc1),
+S(bc8ea787,2f386ed9,24197d6f,cde66dad,43b1bc,390ea517,ade69780,beaf444c,12f31c87,9b69c7a3,bed748db,6c0dc465,3a0c1cfa,e4cc7b97,c00abbef,1b86fdeb),
+S(eb4a5a9,5957f070,73fd04fb,4f1d9403,ade11ac6,62f2db35,23a3c16e,4a34c040,277d8694,e598912d,7b1266f0,493d9141,febe0f46,bb69eb24,c8be701d,9e8c6f74),
+S(391bb04b,b3b924d4,bc548329,64368cbd,7cbc1a79,c3410cf6,63565b9e,e62c5d44,951554f5,fc6b8ff6,40a0aa39,39929e9,41db1056,d05bf87b,ded15a32,f06197f0),
+S(4b6a608d,baa71d6a,e20f543,f4a5041c,a06ab5a8,cfe0b331,6a6702b8,46212ea1,f3c31e22,bb3a2f28,bf1f0594,4f798603,107cb301,6bca7ea,a8b863b,5f85954e),
+S(a560f348,ba8b5a1e,885158c2,a4e94464,1bbc59f,3fbf4851,3216f4a6,cfbdf8ae,98568f29,eccead17,257e558b,b3835772,5af94f69,42b943a4,36a95824,b92c529),
+S(2356a93f,c5cd70f5,f5fde88e,6744efe3,d0d713f0,31f228a5,1cbe2c3a,4baf7107,59adb751,7111910f,9e1a690,139b10d6,f30c311a,4ab6b82e,d1ba7077,3a4994eb),
+S(f7fefa64,ad63903e,66705d88,d5df718f,59b7e9e1,f9180d21,647b2a73,6e2f1d6,30b5d8fe,5393f9f3,b68dde98,1adfc77c,cb3953f6,7fbb3445,52fafe72,b9453532),
+S(73d5d8d0,95d6c533,60914bcf,5b279c5f,f20145e4,e0ba1ee9,468c2edc,b59ee4e9,56df32f6,dad0b462,487d2b25,79dc14d8,34ef8705,d5efa77f,1f371bb7,641ff145),
+S(a1d772f9,4377b24,c98933e8,47dcb51f,7a982940,d205e4e3,c31c2cad,9b90e410,617a72d2,ea1b82b5,775f13fa,1086eb6,2827572f,f6182101,3cfe60d2,7df6aadf),
+S(28725dfa,ad66c6af,5f980f25,653ea5d5,116fcc37,be615037,48d71033,ffd322c0,67f3cd88,1ba30b09,3bbc1a25,34826f06,90b149e3,964e313d,e3706f60,31dd6c0a),
+S(38573246,ddba2c47,a9d85ac8,c3a13ec8,4133da2a,cf6434ed,98acf5a6,84d89ba,e97fde8e,6b2c1395,a9f242a6,8fa989c9,5dabd2f2,ab830949,4c100a1e,fab317cb),
+S(e69ebcca,426dc9cb,474c5f03,5b6e6245,cb18fad5,2d990ad9,6d29ea8b,e032c220,322ac73b,d7c6a5b,89f3926b,82578f6e,a6fc83de,a11da204,e15bad7b,51ab70a7)},
+{S(c8116b60,1f8d72c6,24957215,46b844f6,bf6bae0b,7575a77,f1f6c6c2,5524fa2b,b7477ca6,de2004df,34882c65,3a46821b,53372f13,ed822cbf,40c20bd9,ddd1d6bd),
+S(db0d3761,c6b76d0f,4b3f6423,daa1acef,19d01f9d,c6230840,c4ef120,9e4f80e7,2ea359b1,f19e5d6c,e8360c04,12ca60b7,a43939ca,36fc873a,7a80a884,90d3d359),
+S(a4539230,a9c0b4ff,65e2a8e6,47490c1e,752706bc,ece59a96,f2581cab,1b430bf2,9c80b433,f87ca7b0,3662b22d,73a99e91,a8c63fa4,9fd3b8b1,b17d669d,aaa9604),
+S(a77cbd99,8019c652,7ad38d8,f8be3ce2,dfaeda98,d378cc3b,7f86e291,15a56adf,3d5ef26b,d797de9,6f8a0d9e,d14a5209,ffe8964d,2bb768ce,bc0c3422,85eacf77),
+S(2b99d5fa,a416b572,c796d92a,ba9ad7d4,5b020fae,95aee14d,f114489d,cdbff30,4b89c70a,74e07b43,cbf503d8,86954759,9c3862ca,32bf168e,20a913c7,4fdfd266),
+S(a007a8e7,a60dd06,6d11f1e7,4912eb12,91908cd9,a3fe6a8f,53393040,f9c6fa52,24b8c6a0,6160c947,61645355,ea365434,323c1d9b,2858f650,5526497b,d148873),
+S(7f3f4e9,24fba80b,702f3252,64186077,2879a2e0,cf86c721,cb97c5a,cc1403f0,fa6c055a,4eaa3651,3746385e,c69170f,f3a1ce56,d9c06440,e49bca94,e97220db),
+S(70f9b6fb,c3c4a20e,69c75791,2289936,4da614a4,dd49002b,291767cc,304309d0,5becf8f7,3c414163,6aecfb98,161da5a1,ddb08885,545d946e,c4f2f39d,66b15165),
+S(ffd34a18,cb7a72a9,19b97602,2110dd29,484b3fbe,84ee3c9,46b370,f710d86c,b03c2cf3,84b6502e,f519c55,b40f0037,cab3e513,2304243b,f8e7117,cb4d4bdf),
+S(ef8bb54c,c1fb8d0d,7be9f5c6,85dcc465,9ce9d874,bb1f860d,60bd0954,d751cf7a,79216699,1efe79ee,bd5232c,687af3ee,854c85f0,cc61888e,c2981689,b03060fb),
+S(d1cb47ca,c6b4609b,3e7e8f00,76519a77,9d8f4494,baada6bb,43d3a034,5c3e93b5,a8bfd148,a40922ce,1a2a3383,ce323c5,32041c5b,f89917d8,41c79867,d6efdf49),
+S(ed2c9d96,38443a38,9a00241e,ce1edea5,4ba0561d,a084d166,9054b486,89bcaf5c,f81239d9,ad7a2fe4,5a9ba8da,9aa306c0,3d22d79c,c80f7953,53c13a90,c81d0505),
+S(d7174d31,4126e219,817fa00d,140990dd,43cbebb6,81c45d9f,c5e0dead,d8135ef1,38093e9a,ba7a7223,6a5e8a8,6ad4ee9a,a5cbd614,da2543ea,34021578,8938fcdc),
+S(41dbba9a,b52c3f9,98ecc1cd,aea6a093,ce702077,8e5ac6a8,91be5bb5,f73cb8,5ef35b31,829851df,7c3a2304,5777b6e6,89e79e3a,a06c7b73,f3bd47dc,fff8dc99),
+S(f9ab0480,d24efbbc,26f1d2f,f09db463,f3d50993,af39d822,85efa32,97c73b6c,40a5a11c,c647b069,4536d4c,e154a58a,db0cbaef,77b24591,bb39020b,ff9c72ee),
+S(e59e905e,fe97f343,7bc6ef6f,b8e06ed4,1eeb5666,c3bf72f8,5fcd3fe6,d0f68928,28faea3,4fd42596,c3880cf2,74987c2f,2f228442,5666ebdb,e357d9f5,e8886c4c)},
+{S(e7ff8d5c,83bd5846,5c967b5,37ac0f36,b9ffe9d2,fc7531e,ef183cb1,7369c066,9a9c3c4b,e482031b,f6dc69fa,843ea90e,de165479,26ba201b,5f05b00a,dbcc30a8),
+S(92932066,93f2280,8bc088eb,8b50cf83,93c0a33f,5149976d,27b837b1,2e769b6a,7d86f6a,418b04f5,2d01b933,428d1ec3,ce62d349,693d267f,48cb005b,1499aa0d),
+S(10e4d4cc,b8efba85,37dcb831,c6badf34,85a3184d,b571fa59,55e3ed98,80fa8e63,270a80d8,ed085ced,f4dcac74,481a75b0,b42775bd,9a844a9e,e2de9be3,92781c96),
+S(763ae8ea,212d756,ec3e6a55,9ea9575f,ee67ca83,9e61e61a,99315231,304eb9e8,4e1d3eb9,d1a49677,6d1619af,8acc9b35,c6135fd6,bf82845,5eb55a73,6137d0c0),
+S(76ff82ef,27ad0b4c,157d0b24,d89aaed3,ea654fb5,e0492304,ab02b214,81eb7574,701384fe,e57f56cf,62930a9a,e1b5977,8071d8c1,c07746e1,b1b6e94b,1cece9e0),
+S(fca9c2e,b84ac3d7,7a32396f,a0a1763f,7483aef7,2b171608,e34bf24f,2c0e3ba5,8678a539,d5b12652,78f2feff,bac321a4,ce2acaa3,d0983d29,27e9e90,1d46dede),
+S(a75ffbd9,4ccc3e8c,93a54e06,e4b5fb2f,4410db28,b980283a,51ce071e,83572733,b0151288,ec977854,aaff4ae1,18b65289,ef356df5,1beabbd5,77054a42,da145fb9),
+S(178095a7,416460bc,c42fd250,472e6d1e,3db37a73,5bdc0012,e52c4ca8,cf65d4bd,b9c37e8c,a7cce01c,9adeadd5,15759ece,60776e72,992b7c9a,c23b24a1,adde790c),
+S(8969a958,1ebfb858,cac5b7f4,88c56e0a,966947d1,adaae934,6db4041f,4f8823a1,5c1ce169,fa336433,1aa72a02,e543cf69,9ebdbfae,2cc00ec0,f83d6f09,8e78fe3d),
+S(a7e28d50,eb9a52e9,e18edd59,6b291fce,7024e915,e7ab8119,2cf4642f,7c54d8a8,e35bb3fb,d67ec191,b3a752f0,58428c1e,a92c2c8b,7e84223,363b15ce,28435dbf),
+S(7a6542c5,2560ba89,ece8a01d,e9c9acb,e534ea36,48186e75,3bd214d4,cc8826b9,eb9a65b5,e5d3cfef,50f0876c,c9277014,af67ef01,b21fe8f7,13aa8661,f6be4c9d),
+S(459ff50,f27af905,a415ed85,26564031,8e3a8b5f,11aa25b8,b0c27cbe,83448bf1,4d86fd56,e083330b,9053b2fc,88cf532d,7672912b,db7c2429,34c8be24,40be22a7),
+S(e28b9feb,67173d65,78a8e38d,fdfa8a8,e71bb840,b1d97046,456a7aba,b1bdb4ae,9c8712b5,d2d7e596,d42e088b,801cf20b,7f6dba46,8438032b,c4b25d4,dfc5daf3),
+S(3c313413,6261f337,e5b2b81a,6641acf3,4458c82b,524b88ab,844387a8,6acde303,c1948e72,3e2481f5,f0898fed,9c1def3f,8f88f0f1,b58cbc9c,69992a09,4fdf128e),
+S(77774800,3a50c6fe,65a5772d,1e01b8be,d8acdfa7,da1cc233,ebe2620d,11b570cf,96522ec4,23bd6dbf,45969c79,15494f6f,bc4a41f8,b99dd400,b7f9b59b,8b45e279),
+S(f491ac54,4678dc86,5ce81d7,60465bb3,791c9c38,a7f98016,3de914ab,4f488f23,9e62efde,f5eee54a,ab244604,a3357af2,729e8252,a04f006b,f0d61d7f,5f13437)},
+{S(d8f08d18,ece61855,5b06a3b5,ac8e7cf,a6375446,cbc7c8db,ad924f78,69e7f00e,46a91d23,910957eb,db830624,73839954,2cea0570,2f67a09d,d7d19217,646606e),
+S(b1238187,25e216c6,631d4b98,d8d3c743,753529f2,8e02bf80,d1e9119a,f92d8b50,487f7171,60b8993f,a90edd77,3f7c1026,b5961881,895ad804,51b66d8b,d300e0f5),
+S(b2ff5766,4b8079c6,3c5651d,e0b2fd47,80d1a18c,60d78c24,b2c57809,9429a552,c7ad3672,6d7e0618,eb506d65,c055a7ff,cba848f4,9b69dcc9,c02a85d1,5dd8ef90),
+S(901272b2,bbabc0b6,12dba006,1d4e8ffb,e177c070,43f6ec6,2b437bff,9970685c,ad7c1fae,4b80cd30,c45516ca,e3433e8a,2d3272a5,79e4335c,22e452a1,845326a5),
+S(1d5740ed,37452eb5,c645f8e3,cbc4969e,a6f419a,fc0e4662,8b017587,a6871ad0,c7a6436e,b66d164a,685a1b96,3387519f,b4179d38,40f2be68,28c9cd1f,8780bb86),
+S(21f0eead,ca362d40,1abae7b9,2edccf19,70bd8c0c,35ffdc2,76820d7c,478ef1d5,d3073714,5d577587,db806eee,b9dc40ee,191f4b68,1c488f64,fee83a32,d1034ef6),
+S(bebf44e,4cdbb310,16e0e43f,b183ebd7,263515cc,489fbce1,90cc104b,55225481,f7ace0d5,3dcdb783,e10513cf,2e6c5c63,c60efb67,fa0bc316,de0e571f,d399f519),
+S(78f6920,e94f8d53,3dbcd31d,aaec5e94,76919efc,ddff1eea,4e79e1b4,3dfeb4f9,5696bc3c,c8dfd0c,490250c6,4263da19,36454cae,88f653c4,2f9004af,10eba182),
+S(4a2d9099,949f854a,e13ef6d8,a0179957,a47fe355,92ed0ab5,b22994da,3e616e20,c922bf45,8feafa64,66e31c20,d99584b6,ab390f2e,5b97009b,5254d229,d2ea57e3),
+S(762eb751,35672a8c,26fac373,af7c7396,70b8c0f3,336bc099,aa1f02a,7e804df1,edfa83d0,6cec4971,6cf3d1e7,fd2fcf3b,7e2143ff,8e67a5fa,c24f14da,b3ee01a2),
+S(fa4621,897c70c6,8b62619f,c040d058,cc68275f,91b4efb7,b4f902ab,3059b822,8c1c575d,d6066045,9aa7908d,2246e846,103d887d,3b7549fc,b4ab9f6e,e1181a55),
+S(6a61b260,3d77f92a,c4df3f3d,30000179,e6f0fa59,a6570233,1ccd0dad,6a146ed0,416c09fe,711b40d3,92723f10,688fbd1f,e30131ec,e8a0a547,9acaa8b2,ae8e335a),
+S(8a80bd6d,316dbad9,41c345a2,6f3f7ed1,738934d3,f00efd65,edc54fbe,9d38d48e,82bf1bc2,468b4ffe,11561406,2a2f9ab4,71d40e72,a2f1a40c,8c573013,5a86228),
+S(174daec7,77872ecf,46832a7a,ce3c1d5f,47304048,c9cf1248,124c2eca,3438a110,be42dc6f,b61964ad,59083c98,e459ea4,db3298f2,ea8c8379,be76859b,958b6f3c),
+S(e11397da,68e78b89,c8f30102,f779e014,f572f9b3,a5d33ccc,b74c2234,ba9d294c,bff23953,fd62c1de,a4dcf767,924e5448,e6529bd3,85a1acdc,3efc0e8d,864fb9cc),
+S(9f883f,27e68e8b,201d6ad5,28a04a8a,fce8b706,a4d6f2e4,5d07c4ab,8b0dd96f,965ecfd,1563f640,97f42529,305be630,12f9edcc,82ab67ac,9bee6979,b91ad5f3)},
+{S(ca3c008e,cf9efd5f,75cc1035,f9edaa7c,46b17d25,9895b0e3,b3523b6e,eee9daaf,a676aea9,3ce9bb,128ffc34,deb96b0f,72179d28,77406d04,6d0c8b5c,3572f4d2),
+S(59d2d70a,2e90a652,54e06ceb,3793db1b,a78e9b4d,e043a3d,c5773b9e,4c200ea1,80d83c03,5aa47ae,956ded05,cab59b97,4f25c32d,9d6aeca1,32603249,b6d360b3),
+S(4d9ba25,f51de6ac,3b63b60f,576354a3,40d89e09,51af3e9f,8d8eba83,c00160e0,218deea,f7a87a13,f7ca36ff,b4f85923,30ed0337,2665c688,e3632048,97dfdcb3),
+S(41093dc4,cd6c91ff,67df50f,11031e3c,56d8e078,961e74f3,bf01b010,564e732b,b836ff47,2e29fdb9,c75a4a68,a3277d9d,d4568f0e,43333765,a7246fc1,69d6c074),
+S(8a37aecf,7a111e82,21bd8aa4,756974e,adbfc33c,9bd6268b,247270e2,642c8abe,6a9cf7f,d48bd71f,d7f2dbf2,1564737a,2acff559,9aa3da27,925b6140,3e940bfd),
+S(7b893836,b2777ef4,2e4a2add,c50bfe33,37f7c75b,f0acdb03,1829e372,129aa8b1,31b64a8e,fe772afc,eb8f631f,b3a4b39,39ca4a47,859a0fc8,59165c5e,d8fc0331),
+S(2f493e24,6425e2b0,fa036211,5352d455,8357a2d5,b838ad4,232cf6e4,e4b7dc85,9cc11b9b,5c3a4da1,fdb1a119,aa5a546,47cf86f6,b5bea9f2,a9b6814d,6158fc63),
+S(5622f09f,c50ac0eb,2a1fffc6,76604755,9d3a5046,54956aaa,640515e7,91000316,33e375db,350fc408,fff91c09,fd6ec673,4c12f5e4,46348864,b0586d8f,fd1205df),
+S(fbe24d9d,29eead5b,72952323,df6e8b87,322d570c,37dd2191,690e9119,8a5b65c9,ca77d605,fa1c71bb,acc38061,f4b04768,e93ccbfd,dd626796,debaf531,6c17e89e),
+S(1c324df0,4c5d8f9a,7cf6980f,7239d5dc,94f49053,5ef06925,6341ad0e,5099baaf,97611701,e282fde9,9263c30b,9439c244,b0fc4844,a61c905b,fc03d98,f81d025a),
+S(f40508e2,4252b801,f4b34d4e,2941673f,be39a018,2d9e6b4a,e0fe3052,da22d16a,5477f0f3,f55f1571,8e070280,f3e5cc80,af79dc14,9954c40a,8c1aa63c,f1b52686),
+S(fcd09f44,ebf12a38,8f12f1ac,1bcb6856,217030a,903dde22,5dd25986,2ada9b71,7d5fc263,6dec7d82,167f40a1,cf00cf9a,fb82a10c,a293c64e,8ff4b616,1f9f9d9a),
+S(666675cc,1d4084e5,f4ac65ee,71fef1ea,66fb7b1b,f348d980,b11f711b,fbfa2517,93f65e6d,4038c57c,3e04a0ab,b3b1a45,4050098a,7199635a,ce8c8617,e14c6870),
+S(8bacd663,9b1d1f4c,2038c96f,bfabb232,87aa6574,13b3b0ee,5aaac2cd,b8d629fc,50aef7a4,fdbf85bc,e0876914,ed1692f7,7f8854ea,a07022c0,46fe359c,e87284a8),
+S(efa17098,da4d08cc,f879897b,ca2b4e3f,e19f1668,4428ae3,94a37f37,cb678d10,c43b0e05,584ee017,80956297,1c7602c8,3784c807,a88b6c51,7f25105e,d16596ae),
+S(6c8eb955,497f33f,a1c0f1a9,a4f5017f,3f2613c3,3ab944b3,abee9171,d35f582,9e647007,dd811c9,bc1b907c,e1cc70a4,ae07722d,4dff6f06,d77f5937,9250d8)},
+{S(8a4e9691,3533875d,b8559500,65c90785,a78233ac,ef24113c,f6ed543a,e6a40024,57d9444,8d091df9,602e6c7f,c3f88934,d45a7c76,18da574b,4d4c15a6,6925bcf4),
+S(d25026c,edd7663,2a256452,c6585ec2,e8c475f6,247f621c,c4438bde,b4a49ca3,4f8ab8c9,bf340f6d,c38a4830,3e114ac7,9406baaf,583533c3,bf6cc0d3,b529ed36),
+S(7bb1335a,3340e2d2,ed2e88b0,5daf002e,6a903241,e142f9d4,e48d585c,a9cff8d3,eb65860e,c2a34d44,1f1677e3,f3cb2bb3,9d0761ee,200dcaac,68f683f8,7066bdc4),
+S(809ab901,4a3ca64f,7dac499d,fbe84b51,6566f9b7,f504fd24,681fb9b0,be3a54a7,326d607f,e41037f1,bc1a4d56,4db58169,c637e902,99d52c37,d625862d,faeee076),
+S(1fe79a30,e681a701,9c437773,1c99f7ad,b4b6a52e,289baf55,e67bc468,3a20b65f,b4843af,94698c22,ee928995,61418205,a745912f,3b0b11b8,b3a3cf5a,3008aa6d),
+S(fb9ae54c,b674e5e9,ccb900f5,53d9cc06,949a6eb,76bcb6d,e7c8cf34,a6352936,3d2ecabc,841d29b0,b81ea46a,7b061c92,103c6036,5e9ce032,286243cb,91000b69),
+S(d93164cf,ff3d386c,7d340da2,31479b7b,5167472d,a111e9bc,287be7e0,bbc06ceb,563ac770,b23ac56c,ba093d88,17e1a8a,47c9b607,eb773284,1c8b0c6d,f9cd9a9e),
+S(3bc57534,178dcfb7,b80906b3,9db964,7e989039,1e13c2c9,f82d7b63,2a1b3367,5eb2254f,f7547cdd,745ca32f,e3ac49dc,2dadd808,558b7905,71a46132,d0293e09),
+S(69c24add,b825c48a,ab10d0d8,36d2f4ff,79535742,f07bcff5,cfd568a2,ce28c8e4,a0465fd2,fd1f7924,e60a96f,472059e2,4df02324,7bc79e7,11f64d8d,a477dc06),
+S(76d9304f,8dcde85e,9a331a6a,bc066d5b,72ce9fc3,a3e65614,37c376de,f6aea72c,6a31a164,af370f6d,2ba9729,fd2a7e5f,69d62729,bcecf340,48feb388,541e40d8),
+S(f45517e4,13d15400,29e1bf03,aecbeded,9da08531,65a38956,79ca08ef,8d7c8011,7cb4b383,62f330f2,bc54d555,db060911,d7a0383,eda89b65,913cac4d,4098a1d1),
+S(2e3b0113,818930dc,f9e6d0cb,d59032b5,e0aa1da8,1cd95f3c,1dfc8520,51135a12,22f9bbbc,e023e03b,d00f1c73,d2aeb9d6,96de61fa,47f5f6fa,31a5f269,b4029c5e),
+S(11c85357,5073bac2,51a5f7e1,41aef0b2,8fa240fc,e8045f2a,e6fbe0b1,cf99d9da,ee8a317f,78545477,732e325b,4695f5de,b3bde843,11fb7fde,1a0e1cab,d8bc1c16),
+S(f3cef221,8bfdda19,99885c8d,ee2e16a8,b53921e4,6045de20,94775856,9f2c84d8,a95ecfc8,e058dbe2,d57144ad,e65ac41b,b27cf4f,83150b13,f7f80878,81b98480),
+S(b537bcd3,3bb129b1,db277096,afa2f42d,d63662cf,849a5c0e,f7438443,fd8d0e4c,76cf0b80,461e8984,bba8d8bb,f926ad96,6a7e9684,f09e4fbd,45657e65,d45ab69c),
+S(4ca9dcbd,fc4ccc48,62c1b2ea,cb624698,40c3a0b3,95bbf084,9dfcc410,b89c3718,be50d6f0,845daab8,cb857c24,fa995624,dbf8c938,dbd982a4,85e66d4b,1db2c765)},
+{S(458f8dbf,9cef8cbc,5d2046c7,42ca6297,e8fc76a,ad22fd3,af4f9a8e,2173d857,57074c8f,14a36b5f,6924517,6e3dc7b6,4d12a08d,8d00565,e70e0ca1,56f29820),
+S(d4e74c10,91365cde,4cf5168f,f4f523a4,1fe85d27,d50d2b8,76218259,10c3d5a2,ed9fd256,43ca55e9,53a209e7,5fd7e965,7706855f,d47d7053,ca9718dd,a834c691),
+S(f992b772,821fc43e,61771037,acd07e54,96f61845,d5915056,5babc86f,11a766d9,8a8806f1,cf24eb13,e7b8cf1c,25d550b7,4aca323b,e3026382,e0dab78b,217a9f98),
+S(1e9971ab,68dfe587,fe0f4612,ac8bc090,5c2daef8,616dfa6c,b7505e04,424f74c0,4e9c2118,6214b25e,6bca1e61,57ae70a2,5fcbddd4,7690acd0,e537110f,c08918b5),
+S(ff3717b5,f433f50,9a4480c,80e6d115,c41767af,2fe6f0d8,679798dd,cebfa8b6,4e443023,e6bec3dd,f82b217b,d1c0c235,278d6fa7,8209e009,4c716c71,163ef474),
+S(4dd0d667,f0d72439,b3d3adec,15bf05e8,129a1218,a8d7c645,307aefdc,616cbb0f,aa592262,93fc13e9,a11bf634,56d81d7f,fc503f33,3a523af5,1b1e9a9a,921a95ce),
+S(c5475eac,51e02585,9916ff52,efac5c35,bf9b1b43,bd88e949,8807d772,f9e23b1c,2daa42ef,55198235,e8c4137a,d13bed86,d994fd1c,480ccbea,89c1c545,cc26fb27),
+S(588d521f,6f9d2c44,e2ee47db,c05ea3fc,517d1d69,7c66a3a8,a62c72b8,645a6a87,24749bc7,3d997052,3eea9809,66701cd4,db072ff2,d9284255,e4f8c22a,afd75504),
+S(d597241f,298a7b8,a1139b92,a8bde9b3,f91ea694,c450c808,e15df89a,feafe70e,5d17b691,ccb6cc27,79337e2c,8906b73,83876759,abf728af,c6889182,bf8301ef),
+S(5d2d98db,c2d6a0f0,1cb8e201,516f65da,b43e704,78b0e5d7,deedde32,71614c03,c46181b4,d08d0555,7b031d3d,e5966ba3,6534c010,48875986,93584851,80ae7c53),
+S(dceeb9b3,6e8e802d,f2ee9664,b3654b46,741ae546,6031162a,c83bb6da,98bae12,bf6e5152,53aeaf52,8ec5a0e1,de1f156,d64c9123,236178cd,ee9b2c3c,3e2710c2),
+S(d4984e63,4d173439,e212d2e,2e8da9d0,d00d14f9,1c1d22ce,c37a537a,f3b0788d,c72c5356,63000ff1,9b17ebd4,be15230b,56528faf,c9622b2b,15e88318,4a5c359f),
+S(13ccca15,767ae67,ad5a1b60,36bf0e3,e617d537,adc87238,be522265,b8fb813f,ac7d0ed8,2f30ba14,a4817fa0,9dcac107,3f3abde0,41da268b,c3bc9b61,38df6fce),
+S(d891e13d,678ebe25,c129de51,7925ddea,c89ad77,4503bee0,d3be486b,2ed397,9a9b4d6b,62180606,9c6b5d9c,5f14701f,bbc8c436,9d148d40,dac50a58,4e87736b),
+S(b6c1f018,2bcc65b2,be194313,9b2d61d4,20dbc415,becf5c44,356b3687,47c215c2,b7bae889,fab9f1a2,6050d82d,b983a6b8,c7edf242,69de609e,d963e0b,9230f79e),
+S(853be70f,c6df02bf,271ad18a,6e94e277,53810df4,602276c,c5b0e9d6,2f55e587,bfef4966,5addf7bd,efe505b0,368be840,6fa2bcbf,316be956,53d2dbe8,c3db190c)},
+{S(d2fff4de,9ecfdbd2,dd99ebae,d038415b,19b6c44c,9717926c,9e9a668,3fdfd377,a7e8ef8b,89877e3c,cca566cc,7b7dd537,d157cab,121d1623,b6880567,ac66fa8b),
+S(f88cac5b,7ef229e6,1a12c335,1603b853,4911e6e6,644dff0,16924cbe,53aa97f6,e853d434,c1dad0b5,4871e881,21673a90,71182684,12f3362c,e43486ff,61307196),
+S(7e61ed71,5dde7b01,f1baabaf,bc1db38a,8074c3eb,ca665c4f,d70cf352,624d3d38,70bb8d04,ab22e016,1c5836dc,f08e2c3c,36ce3f67,f49e0a5b,99e21b5c,c6ed9069),
+S(9df9045e,7deba246,11e8fe62,fb323077,dd495d3f,8ebbe4db,384baeeb,aa6b88fc,4d5f0bf9,f5cef832,aec0ae94,f204d1b5,18554378,440675da,8bb2d91a,8fcd5960),
+S(5d134cde,d16d21c0,2bf962e,7f12f2d6,4e91586c,8070bfa2,61499edd,e00b2a57,b7b6bc8a,54e118e8,8cbdafc9,325fc6e9,125b46c3,66c85501,33561f0c,49c962be),
+S(a565c3cd,2dfe5f28,4c98abad,82bd1a61,76bdbb7a,4ee51f80,29782d13,849f32e0,59ce572a,ff34600d,26ac0c17,4b5b508a,81e1a9f2,7f3ada66,44234439,63ea61a3),
+S(8bb4eba,3d2b83f9,d6bdde6f,82253b2a,717cb133,f0a7512a,ddfbd29,c6b271ab,f0a0bcaf,14311a27,da09d57d,ce87ea6c,b2156be9,59982e18,5c92e64b,861f4ed1),
+S(8b93bf92,a0f791b0,e60e4a33,8ecc5919,6fcb8f55,b7cd886f,cb71d66e,519333c8,77e26206,945f5dc6,ca3e3075,5834eb21,5c3111c1,4bc0b424,319d7d50,f42dbb8a),
+S(b8a91ab4,eab1e465,e9ce0f05,b9cd5cc9,d7bd5ca0,29018129,7a2d2142,a3269d49,35eabe73,94dbc74c,e174be38,81b56b3c,d2ef6a16,4a7f92a3,17034917,239aa67c),
+S(26f3e105,9bc8f39a,b56cbfce,cc7f8cfb,ead6cf57,ca4d6d4f,61653fbe,1934e2ba,7a970b03,a86755df,f2465be1,ba1634cb,dfad7486,ed7a8a57,b236ae0a,22993b3),
+S(b1775563,68b77fe5,896d8eea,e8631dee,788d6b7d,b5fe84cf,66782308,3c0536c8,ed42a54e,36509460,ecaa422d,fade0836,8d96dfe7,ce4b0af2,fac64b84,a49c4a8),
+S(7e8f9d20,9b9ae3e0,d8bcc4cd,8f678d77,b9ddde2,f85b811d,63558dc9,b82b4c2a,317ca8e7,697667a0,1d60345a,acc9eec1,57533739,683a3610,baee81d7,bbb2afe6),
+S(ada7a37,a54998fc,ab666fcb,78189cba,f07ac132,d0ddb59e,26a959ed,2281689d,ca658fba,d7ef940e,61e0bd3e,41e04863,cfae0703,f997fe20,b6c4ff96,c1a6d53c),
+S(93023c4,ec822347,55893d89,497ebce,c0a884ad,e93a5ee2,23514127,fefbd7e9,cbb91515,e8ce6330,55ab91df,96ec77e8,52a5ce34,f0fe3a08,315c30c8,660ec7c2),
+S(f70d11bf,4b476ada,a3329b90,e5673313,2107c27a,da354d4f,53ca0913,117f3efc,38fe645c,7adb5944,cf396af1,3bcf69c9,f952f55a,57274f05,a88e5ba9,51b64064),
+S(111c1a35,fab368ad,e90c5384,b0412268,a1a8f8d3,49662a83,4aa7c0d9,830a307c,bc8cf412,238469b5,7a316a27,1fe4ba42,f3fa6a62,efe1e12,54f20f61,8c0eead0)},
+{S(b3b5422f,1361ce5c,bf7cc061,3c78aa88,a02683ee,cddeaaf3,f5516cb,291632e0,1790cb50,cc2c760a,c7c2e97c,c44aff29,86c73be5,59a88180,8d036e7a,94347156),
+S(a7087c6e,3cc50e11,5e42e86f,855fc0bb,8a0deae8,4c1f92ba,370152e7,69d7e73f,86a61264,c5ea922b,cf1dd751,b5296539,bc2c41b1,29d3881f,2affabe,51f6d1d3),
+S(53ef19db,13d761c4,995bce5a,55365036,def1321f,e0b393b7,41b55b86,8ecc9ba7,7a7d9ef6,61ec075d,19e719ac,56f028bd,403609ef,ccc39881,189673ae,10ec05),
+S(9ea51d5,4cec52d8,58f8c082,e4362b84,6a83e0f2,9c99df32,30c9a2d8,e5269818,41305f7f,a9535eae,fe7316d7,6ae49d92,47667649,5776c712,214b8fbd,f0c80cba),
+S(9c0db1ac,fa10880f,d4da60e8,a8a7c6e,b4117f37,80394e83,fb591307,14dc6460,55b73b4e,80091775,1e680a18,6df01b67,cf0b38cc,e10bc0f4,dc98e0be,7b5c5a24),
+S(9734eb47,f47f2b5,4edad15,791b890f,64794567,df7b4866,b8ccde2f,9890cc38,9bd277e7,7cecded5,9dfa120a,f6bf322a,910e972a,57543940,b74098fb,af5be122),
+S(38aceb92,95b480d2,1ab23f0f,c2ffa615,ee4f6903,32aae091,596d0aec,a99e5efd,8a3c1050,4ca2b73e,c5249f9a,6edf0b67,65a8b02,4e8ee2d4,e90dd3a3,a8e3c4b7),
+S(bc517f6,658a0f2,ec9bb49b,19573f9b,7c74a37c,c3f40c99,7c31db21,170fb0e8,b0dad7b6,18e1e061,902ad53e,a00d3cd2,e9a7821f,172caac3,3c1fc1ef,fbbd3c65),
+S(6726e4bd,5ea071e7,43bdafd2,2fc7153f,49e36504,e8482db4,9d64f995,b8b073db,7cdfdb2a,6a42f050,841631d9,779802c7,3ccb6844,1ad48508,6598f6ac,f91533ab),
+S(b586e330,a91d81ed,d9b972e3,d7a33c6a,b01019e5,6f809583,767370f9,2803be7d,8bea5cdc,619dd2b0,185a3242,1fa7dec3,662cda7a,9f1302d4,ffcdd31f,5959628a),
+S(6a713584,e0d2fe01,64ab5ec1,f31f2798,fb85518d,7f91d512,d4380e11,3d3fd132,3a864153,4be74fa9,6bceb551,15d2b3f0,59fc61cd,54a046e8,d6216f2c,3cfe61d8),
+S(2919d598,7a521f25,5dcdfb55,3e5a707f,696f3aae,47226585,248abd19,39519f38,bef08437,9a346d56,7c800354,e85aa596,6a0e2b03,91efb233,7d4a2df8,9d14e9bc),
+S(78bd9c63,35fe26f8,68d85fd2,6ad879de,f582e074,fdf2b20,f6bde782,cced7a14,a5b6404c,cd6059af,2722b328,acc60b6,87759410,161c25c0,6866a6d6,89a26877),
+S(fecdabd,1951afa1,406297f6,9ea98463,54e14a30,dec4e3de,8ee107ab,43f7e32c,d3095b1e,5d01e350,2a90289e,c508eab2,ee888bb9,fc72b16a,8625a42e,23ffec30),
+S(e97f6e7,5ca07704,dca90e57,aaa27502,e1a1293e,d99e6126,d03c00f,53bad532,e07fe66d,9a2543df,5b618336,f75b0907,83c7d74c,d63d8914,22524339,1f598b91),
+S(f7270282,7f520388,5412f3c7,9fdfc9ea,da219679,e78d089c,4c1117ce,d990c5e6,9711ff7b,4223c8b,f9aaed68,f70090b8,1f8163b6,7429ba7b,a59ac7de,ec2412a5)},
+{S(2e01d33a,c10caa03,ab514f75,46226f67,69a08f01,56017b64,a2436a34,447bfdbe,f5bd77a1,2c61f2ef,60a8c937,cf29e1e6,882b12c0,3e7a7763,f1ea498e,9207836),
+S(7eab2720,b4dcdc09,8d85ef3,869bb07,9640ab46,2d6b186b,88f92426,ac563a0e,a8a15397,96e48dde,8137ce65,c55c6369,766b5df6,7dd0a6a0,6d4bdcda,a0c4c70c),
+S(e6a98f52,eeb51268,91c4c6df,b6ae474,6cbcf21a,7352035e,6bb479d3,25a64de2,61c7b668,e144fb16,e72f06ff,71167211,6f6ec90,4c6ca901,61a71b16,f176e0e),
+S(33cca5f8,bde4431e,40c3af09,2242f429,2dcb47ac,8b4954f7,3dd25dda,d572594e,5c23241d,46ad4994,1fc84c2a,9aa42bce,1ee4f3d1,cba680ee,8760cd37,e9924160),
+S(e5daf317,a0024ea5,26bc1939,7a54d0e3,ff325e60,3ef6a0db,4ba1b366,e1f65c23,8d70ed47,6895c5ff,ec487a26,b7a3fb0d,73a32e8a,a4a80db0,ca00ac83,4371957e),
+S(6131d574,7439ceac,e77bc0d0,b49981a8,4e3033e0,185b63b8,a6ea9dda,cb45e7ef,6e01f69,cbe2af0d,a1826d6c,ab34121d,6ab457fb,770f7450,c366010e,20dbee4a),
+S(8a7a6e0c,5deeaa35,f13a9bd1,51c737ba,bbac2fc1,924318e5,8b71bb4a,87ececbe,92fdb178,b2834b39,7dfba6b,69e8ec68,e8db5368,546c54f4,a1ecec8f,e4e0c351),
+S(585670f1,f244de6b,fa6c9b23,6f034fc9,47e7075a,59c7ddb7,f744e6d4,af423e9e,d337bcf,822decf2,3ebd7101,6b54dfe0,8dad6082,4a6307cb,f0ed140c,3bb14a59),
+S(75a87820,7db72c1d,355cf92e,a74b3b78,fdc5c56b,88c698b3,7eb94e2c,f02d6dbd,88595a5e,e6444a98,3647cd80,cade49cc,92a764d8,f710ba67,63e012d6,b12e5d6f),
+S(b6dd4054,943d57ab,3ec4897a,8f755e9b,42c3aec6,7860e182,804490e1,91b342a9,dc70eca6,9f7d62a5,8bdfbd97,dc0e2b83,18d1f890,97e8494d,9632e3db,c6168783),
+S(fdd92a7f,566e855c,cc134e03,8b5eed94,39023e36,7985a077,875b150b,1663143,ee7b815b,19e1fea3,fbe2d687,b3611895,48407e6f,b4136865,cb2df984,fccd893a),
+S(20734455,8b2ee591,756fa103,2859a08f,9218b547,ca7b67b7,266bf648,25209de6,b389f394,2c3edb68,468dc1e3,73ca3649,ee0f0bc3,78b8da6f,aee8f4c3,90867040),
+S(1d29060b,7b0f6884,2ca58992,48e6dc57,f491248e,3851bdd9,80837ee4,a777f4e5,a3ec51c7,888554b4,1b21b6dc,da472271,8e5e70e5,8d7bb22c,b8045fe2,2a9ca251),
+S(324ff1e6,4d1ef0bb,e5439a5,a3642ed1,f97b7ad6,dfeb6c7c,9af9400f,f414cca0,9810fef5,762b6517,5bb1469e,9ae69f94,68dbce8b,131a7e,6859461b,25581d94),
+S(ee2e5e82,e7106cbf,47093a31,e88fdcca,5e00957c,1020f858,bcaeba82,f21c5b31,d75b0c29,e9360215,7a8d0359,991b5991,8bb17a64,6bc27e9d,4e5d2a27,3d4b43e5),
+S(a2b27628,aae04348,72814af1,392c5872,1b787dce,6a78256f,3af5fb33,43fd9fd7,d2ac734b,639aa92e,40362fb6,42bd3de,9272c6de,81cd3c56,c802db25,1e20622e)},
+{S(934807e3,60b79e08,d1e28924,2478db59,331c171,6366f421,eda4417b,c0699286,f7f83c26,50e7a77e,2f760e68,7f475858,b2c2d770,195c199d,33a84324,e23f02ef),
+S(73da18c8,9bfd61c,b2b6cf49,f776d53b,ff85de5f,796bd870,efd66099,a97ef7b6,fe5b0c10,1c109bf4,5112ec0c,205c1fdf,6feae62,e907c57a,c4c960be,22dffc8b),
+S(19239b6e,d7dfedf2,6b926ff6,72905d85,1b0b39b,a20d0ac9,d24dff81,9aa44b0c,68108879,65ac0e8b,e19a9feb,70980400,fed7d280,a75f1990,65b911d6,39a734ab),
+S(e03b6633,7b60f200,38d28ed4,1cbe30d,c84afc0f,1bcbb14d,40b73636,2ac08147,e3dcfe11,5065cd9f,f7ef8225,e9ee3685,fdc1c8e0,66306022,ca5aa599,977db560),
+S(7f1744cb,eb8020db,13d21f53,81e7dfdf,b98624ac,ab4bfbb9,1dec9f5a,ef410ec8,fea6fc12,7ea0ebd1,bb3772c9,499bfde8,cec1cc40,e33b2e1f,a4fddf45,d03ce9ee),
+S(b1d67d78,979a525,2093be3d,cf10125e,df13734a,eda07905,ad2fce0c,11015bc0,9d6872cf,b685ca9b,42e808c,8f854da,ed0c3939,40ccbd82,49856e84,ca2c9de6),
+S(cc9c4e59,fdb57caf,bbdb63b2,f9c8d283,5d332666,96beecc,28d8c28b,2bbd4df6,a8aa77ce,fbdc1413,8d9889e3,55338948,82a8c56a,3c80516d,321d38ae,27c55ae),
+S(c0a0db13,6f2dd096,412fec0f,6fb2652f,63346063,559525fc,1da8c67,12e1bc30,3b6257a4,13efda21,623c63f0,d78668d6,93dad095,8653942b,20b8bf3e,ecf8d542),
+S(72abfdc9,eb47ad36,86fc6428,42d99247,d6331a5c,113f3f04,b5ada07c,dcf7b706,79cbfce7,65d63523,c7b02011,af3135b3,a67be602,c8e87754,53c45f6e,8538ba70),
+S(85670d7,4dbf0d13,4c0ebe98,7f88972f,82fea44f,da5bee6e,8c865ba3,6010e45d,8a7b053e,f8336fb,a9e198c6,b8b7707c,20fa2224,a5d239a,7e40acc3,699d7bdc),
+S(21c37875,d3577979,8693da88,85d2e0a0,5faee58d,ea74b21,782ad05c,7108f56a,30f8e75f,6f7caecb,ebf8353f,f06264dd,7b5638f7,fbe48e70,c76b0704,6ac2e3bc),
+S(f73ef2db,94358b7a,ee9b7046,8a345c4a,94845bf8,daee156,f5fa9332,c9c2cb5,cdc5fde9,995563fc,612e8e6d,bcd21863,f8e83162,4d3a85b4,9a3d750,665c635),
+S(72a27f5e,12944a7e,6406cbce,dd90c43a,bc6c1016,3fc0d325,f3dbac3a,156a2767,e09d85ec,963ebce6,26cd0f2f,16d882fe,488d7bd0,9888a2e5,ff05f570,86206a9f),
+S(1e6f7788,61257d8f,ca81902b,394d9815,26f5a703,688c0636,a51853bd,85f05ead,a10cb6b5,e935cb46,cb1239a1,3d08c85,bb387812,9c21af4c,5781c345,f8a3ec5f),
+S(ec27394b,44d9f24d,59384965,4c3d3662,a9a45cf9,cfa23557,9320c4bf,1e1dfc17,d28e9133,89c41173,89b8b665,b7ec1f7d,b2cfbb6c,9ff7363f,1f26948,517a12a2),
+S(e27482fe,5e305f85,a4ecdc26,22f25c06,ac7f82d6,230b8c8e,4d8bff9a,8a78db10,e426cac3,b02eda3c,1b1f90e8,76f9770,29ed1623,62df1ae6,e68986ac,c346d7d1)},
+{S(accea070,aa6709bf,efd88be4,bef1d485,a0da83e7,ac9a1eb0,eda8387e,b9fe666b,93fc1c9d,fed8fff9,60ef750e,94dd2342,5fa08c3d,8eda3eee,7f51381,196080e3),
+S(163e8e65,fb6e7ca8,585fc072,3750bf68,fea588de,5e713e7f,9538dbf1,1524dac8,1217686b,7ff2f144,88d5c121,df15026,b6757b8d,e72b1303,b830f516,4b4cf3c8),
+S(7bc1be5d,358d6d0c,a42ebfa3,7d208024,d3b2451d,fa0dd7dd,d6c43159,76483b08,42dbc796,2228db1b,8268dfa0,2725fc82,5814a893,dbabd144,ec5a1cc0,fd8e31c3),
+S(6fd5e39c,872cdd15,19df9822,6a0f84b9,a5cce99a,b72d3d54,27e24d24,d8b9655f,7969aad,162d6db9,973d2f9f,a1475ccf,39eddbe1,a205e28f,54594ed0,108136fb),
+S(d65d659c,adf25d7d,6ce5fd2b,e8794007,6a4ef262,7284bc70,c4557021,4239e812,c1092daa,39ab1efe,480823f0,6038e5b0,35e1d2cc,1caa879e,1b7d057,8dcdd241),
+S(754ebd39,5f6a7a88,b051016c,3631ab36,68733921,b9b95386,d924f6b7,aaac42df,95a20483,80e9a9ad,6b165cce,db441b6d,e439ef5,92802fb7,e314387a,94b2624d),
+S(67340806,fe427a46,b9c3939,3dc5c7e6,680f5a3a,275c1008,408a2a11,ec43e2d8,ee7e2b49,b9e508a4,e7a3b6f4,72ec3a51,b4bca79b,897b08fa,e9ba77d2,90a0b4e8),
+S(ef822b5a,2746c477,4f4089ef,a33f39e4,2e4e3675,69cb95c9,a6b75148,c0e76e86,9784c76c,6d35e6fc,aeb97de,6daf3401,4e594b81,c862e8f5,cd197e08,3a180888),
+S(639bf346,fe9a3915,5a718e2c,c4191bba,4985c628,b5d504e2,de39a421,ae0b0415,d1bb783b,4bd96366,c4e9f82f,e6544bce,df39cbf,592a4aa4,7695182b,b632c443),
+S(5de8f2dc,825fdea9,a0fe2aa9,a49b38a8,6f23e639,ee25668e,7445b607,df79ed02,a1a17c29,df23dc19,c013c05a,25094dfe,984591fc,a825aa3,577dae9d,6bb1c513),
+S(467a55e3,c7f904b6,308f943c,fbf1c9c6,c8489622,9533bd31,5b008c0c,df5c6e5c,59c10ba7,ddaa2005,a169a884,6f5bdc83,633d260b,762a6bab,2cc8d9bb,401d0ca2),
+S(6064e78,170d3667,b0226c1e,628c25bf,3fd01939,132f6fff,bec47896,9cef1880,d74e855,68d86986,f8850360,e74faa47,697a7ba9,9d7cf241,fd131af3,e90b0daf),
+S(8dd19520,5cacd63f,7586954d,3f1cf4d2,25303baa,a56bfab4,c25fa9a0,63621dff,e772ecc0,dfa4fc98,9b6ac1e8,4a96e4dd,f1cf84ee,37e0a2c5,126f3dc5,6b8bc142),
+S(178ca7d8,807067b9,253ce61a,cf0b49d7,1f973fec,62bbaf65,1af01974,c102ad33,293ae890,98cd4157,db11f6bf,c46414c5,47e152a4,e5276433,6d3a4ab,f9f2c798),
+S(49fd915f,42daf79a,648d30de,c913616d,46e89e11,afb9d46f,b18aea34,e4203d2e,c94be4d0,e2ccb36c,c306aad0,940f23d5,20c2a29a,4588a78e,c4a8d792,2d96bf9c),
+S(a76cdbb6,1982ae31,8b5d3be4,eb03cefc,8958abbf,578bc99c,5081bb2d,ecca6328,8f0ad9de,7d0a36e1,e27e5bb2,9510734c,509c5f60,c905982f,23865986,784134d7)},
+{S(a488f83,2bf3e57b,5225f748,754ba2b5,cd9657c7,175198ae,122c3d1c,ee336ef2,4e326d40,648cf269,2db42532,55391fca,5c2b48d7,44a9e39f,bd1293dc,827e9021),
+S(c2e4a4bb,4cc75a7c,4e5fdae1,3b6910ec,7056bfe4,5c0ab7d1,2146bd69,5a7eaeb3,72b2d74b,6181bedf,4bff36d5,e1162304,65ad711e,c13c099,1dbf2b43,c567a603),
+S(9e95d628,c5278b1c,56863ad9,e595739e,8cf36103,75e29168,5a5654ba,562292d5,8abdc7c0,8a472f49,4279be90,6d575b7d,17fbbfe2,47d97022,533fbdd7,1d4ff8e4),
+S(76fa079a,2b9a0dc9,3a12d28e,cbede965,e33afdf6,ed28f3c7,c7d5295e,6b26943c,cdd558,61e9b7f6,ba779158,65b37c6,ef665077,9344f7ee,6e8d4b3,ae658c96),
+S(a0269bcc,a3d91987,737ae43f,2d1b99d1,18a139b2,5d5b4ba9,cab55c62,66e4cc78,6febb984,7682c796,faf098b7,60c5ab58,b1688f3,49abaf25,3456c3cf,d60fd361),
+S(f197660b,f5d0e191,d2a75f95,4230ad48,4e28027,f5e61d49,64f02fd2,b239b18c,cd05cec7,3eecdbd8,fd186f5e,73d121d8,2ae2df03,29bd7e44,408bf7f8,5b3009e9),
+S(584dacb5,735c38ab,366ebb74,8ecba797,5be0576b,a52eeec8,c6fc353f,17d783ca,198e2b4,5d1e6ee2,888581c6,5dda9b44,a2441d09,4945deaf,77232861,4d6f0c98),
+S(eb6d53e9,4f34c551,9fc21d83,f2092221,457e9697,9e535980,31c5a853,615637e6,b958d521,d74b297f,6e537d1a,9512c5bf,74a3a134,b2354d21,b24b30c3,1eb0e607),
+S(d32c2816,b28e0bcf,d477c631,7ca9cea7,51c3d7a2,a4d2aa70,b6ea5568,63581e21,7e42e895,c6cc4eab,c85b2bdf,301e37ed,359ac182,ee1d6843,a3c1c7f7,d253cd0c),
+S(bab8ec85,d297ac61,8aeca643,d3e54750,5974d165,4a2031d9,3fe2a865,7efaa8ca,f4544105,4f81f7e9,1a8c773c,369689ff,ee5b286a,ea652d22,7812c8b0,57ffd710),
+S(7d75e064,5542097c,d70982b2,92697b2f,c3439a6a,26f1d51a,15766ba0,10c80b5b,9868b21d,2fd0340b,712b2958,ab4925ad,d22eae92,1ca2015,5b578d05,14019501),
+S(4885a359,cbdb926b,3d2918e7,a7bfc8a7,ca9c6a8f,870824aa,fc2911c2,be3be588,7cfa2021,bc9eba8,27729709,ba83cd2b,d6c1d68b,2217dd07,c7af1977,35ce7206),
+S(52c4990,8a3b1b8b,3eb084f5,33f5f559,e9113d53,8d753027,3b1f9bb5,d0fd03ec,adf0c562,21176de9,b5d54273,97feec53,735f430c,44082b1d,7233ad36,472815bb),
+S(b07e4e7d,366026b1,e4487f0c,3a2d6825,909f526d,dfeae840,334fbcb7,b1681beb,26d3eb64,c795a304,f226b341,d49adab8,4b427557,1f683268,140853fb,dbf65459),
+S(41d028a6,260d5c21,f3d31771,eb876c10,189c367a,b513b761,2530e974,6ef3b4b1,f8b295c4,a2d2d5cf,1be8fb36,9d2472bf,85263bcd,3a36a42d,705d2555,1a501791),
+S(da36f37,ba62c357,1fff8b97,39d77d44,13ff457d,5933e77d,e4dc3d18,7bc601cd,ec0e35b6,6d1ef946,7f59d7bb,534beb75,13f8d2e5,1919d914,f10a7778,4d4abbd1)},
+{S(a473de46,a554667a,368fd573,168dea23,3f81153d,e1b35b26,90da8863,71e6c131,4ba0b462,92aed936,7a2bf9e9,de48a08a,874fd681,aef86a15,58b49e4f,13dbbcec),
+S(ec3a1d66,a1f76399,c683837b,7b53e05c,5df3ffbe,325d3d4f,de12cb19,c44a8fc1,73392723,41f63fcc,d994c0af,d1459f82,c5479fc8,1628b8a,34b4d042,e68a23cc),
+S(8de418b2,77aa4dcc,11619e6e,f76d6a5d,8ae48448,c6dedccc,f32b7238,b58a2e55,11e44fa8,68811549,8a7cf95b,91eb8c53,7119ef6c,3b9fd2d,37f428ce,94060ea5),
+S(eaef8564,efa35058,1ffc48eb,329fe037,60b85bf7,864a433e,70b5e227,9282fd9d,90eeb6b4,c3252fa0,ae0ff9c4,ab2974ec,12cd8b43,8af9a0ad,64b8b3c,e404d35c),
+S(6985a408,1a00ef94,ac404379,dbda4471,eb99bb45,69c90da3,241743c1,afa865e6,2485252,3273c205,8321276e,1cc4af69,380642d,3e2ec299,64da2d75,b17f3865),
+S(df779625,ea469eae,1463fa21,b088cc70,6ac9d3e0,9c4ad69d,554222b7,7a2bdc0e,56e00902,4defe4e0,5f097ebf,ae0c4782,a93500db,bffdd525,8ab8ecd3,1253f224),
+S(1a2d4b3f,29fec403,5b3cb811,147d66bc,70fcc480,4f07bc3,169b592,e4622665,600cc9e2,370d498d,d4db60ee,963c5dab,8da8a23e,8db3cb01,d805ac2a,d77ddb46),
+S(2d8e71b5,17971a2e,351221d9,44e82447,e913772,216a4c40,f067087d,4106aa7d,d9284393,ad9a63f1,2e0981d7,aa9107de,21a91a16,ba43a25d,26895b4c,d793d525),
+S(b53f44cf,a4f24aa5,a57aadf9,cfc0ee9c,d621d482,3a7046d2,8058f086,cdc91b1,8148f9da,95142591,dc71b505,ee60dab6,a680d0c4,1ddd1fcd,d59aaa3d,dd4a901d),
+S(f31db738,2a3f41d8,d4079efb,cff1e3e1,e818b2d4,f83dca09,4a044a73,d64a7452,8eae5b98,cb9e9dd7,2a9332a5,5abb49f8,9bcd4b0a,d8f6913c,e6c1cafe,294ffc87),
+S(7ce5ec00,ff2a3001,9eced47,3a891bfd,f2c2a9a1,8fd7e18e,3999ad19,b60d42bd,c514419e,272c3380,a7ce5dc,1883e7cb,2df64c89,5f2a730f,cde2f3c4,945b6ff7),
+S(57ea4789,f7e02c29,7a089cff,9ae71fcd,f511cbc,926b9299,25a1e184,c6157c5e,c696731a,51132560,c77afd16,15cd5072,4cf0d136,7c4fa3ca,b19aec05,a8d701fd),
+S(5cba3f4e,8aab710d,878697ef,9a1ae299,821960fc,caf88887,9c6f38db,4be1dbe0,336cd748,99412e3f,9ca14d01,2cebcce3,42ee9e97,638cdf3f,df5c0077,8d3e37b6),
+S(56b0894,7d551fe1,2e9ab57e,a70d342e,3cb74d74,f549edc3,f7551eef,ca9f9fc0,e7ac85d2,a4baa20c,4e1bab03,7190490b,e3574ad1,f9cbc392,f28f45cf,db4dd2e1),
+S(7ca03c7f,ab7f76a5,a258365e,55473083,5a9850af,6c83c311,b487a8c0,4ba87a28,1d144504,193db309,170a3ca7,36b39bf,46d08596,552a2962,6a3c40b0,a8f95e4),
+S(5d041b98,b864a305,117791ec,21de3fbb,cbe58a84,8429d291,bad63895,442c9fb,46a179d0,decc9e6c,9b642c1,5fa126be,619872f,17c6273d,30e2ecb1,1d3c0252)},
+{S(476d7ba4,35177a71,299267f4,14ef275d,48b434e1,380c1afd,9fac4606,f8e02be0,7f1255fa,57a60447,c14d6574,1d7774b9,695e6d25,1b46912d,d33c77f3,f756edc2),
+S(c68ac953,985c624e,dbbefae0,148f049b,c9de0f23,7b192e7b,e8f13921,dc478295,77efcfbf,a08be5c4,632cae8,c7e9e6a,520ddc19,dbc1271f,ad0070d8,366dfae1),
+S(31462a8,ae0be4c9,b3d7a28f,3fe28e1b,994961a5,80cdb3ce,4ced5b5b,20077b77,3137a2d3,5303daf6,441b0ecd,244ee32c,1c87dcf4,27449c65,d3cd9bc2,6189db3a),
+S(d78f7afe,6bcb8574,27dd87fd,3869e74a,760045d8,1841a895,f8e78697,189ab251,8e419b36,47160117,af77b5c7,97e6d695,65ac587d,ce16b94f,c11ae91,72b8eca8),
+S(827f5436,f983e162,42213577,76403af3,d700ac7e,57e10ee,53985649,19922086,9f64f7aa,ff4c6234,5ef6017f,e027dbd6,26592cc4,f050ff48,ca4c8fc7,5ce87356),
+S(6ba0ce5c,6893ee03,629f90e7,841790f0,414410f,8526e56a,b0f74f24,f5c2fefa,25d44a39,961099ef,b341c985,d1f7604f,298838ef,422ccd0a,91195f2,2b48e7d7),
+S(2c43c784,bbbcdc5f,34789f99,46a9a5,59be71bd,3fde6f66,b6faf050,99b4dcec,4e5fdc4c,83eed83c,db5b5030,91bdeac6,a70cd8e1,ed187ae4,469b9057,18fa5386),
+S(4faafbdb,1806f138,a265e889,db4bfeb7,ab53b2c9,622ed6b4,c6b392d3,1f7ccf07,d1843334,387f73c2,da122ba6,a633fc2,26fa3f70,e42d41a4,561e111e,aed5b357),
+S(143b5028,c0bee52f,9dc11734,292d62b,17672d64,559ed0c7,49e02f20,8bf84bfe,887d583f,b7d6c57e,c1c58895,aa99ea4,7ff5406e,fc5e15eb,3d8db3a6,e8cbd4b1),
+S(394ff209,a9586a19,396143ec,f8ab1785,a661b80d,8d2d9b28,c66c372b,add96e03,5ce203f6,801bd8b,92a673b5,486f8f03,8bebbcb,bea85bd6,7cab24ea,92a54895),
+S(3e2670a7,794a06f4,2928430a,8bce2866,eebb6e38,90fdbc94,6b2c794,d32f0452,31d2e49e,9a6ce422,36bebb25,cb243965,6aa2a1fa,6712f17e,6d5d2b58,ae91c3b8),
+S(c4cb5059,31eb4fb6,66fab44b,6e063435,35699e3f,8c3d4957,b971a271,78430a1e,9fb4a0e3,8d46c234,eba2ecc3,8628150f,41cbbde0,734453f7,c65f2444,c52a9565),
+S(695d0e52,b32cf29d,2230b84,c1260595,8470dfe0,713aa116,61710c,8ce74e91,f4ade5d1,6d27de08,78d907aa,34b61f91,4135227e,97f0979,f4ff6241,4164ab5),
+S(5aed2254,27ae4f7a,92292498,a345b20,49b00c0b,284d55dd,51e6cc82,154a4cbd,6da49cd4,5a48b051,f20987d5,415d58b1,9a4e1744,d83a5ff7,6bd95cec,1c6dbb11),
+S(390aa9f6,18e5660,cd158531,7d0e01e5,5e6fb9d2,aa785533,6747eb80,caad2bb,bd7e8ccf,34e718ca,947500ca,a2d7e3e9,3cb0c6f7,d8b7c50c,7aeede81,95d0271a),
+S(41ff7ecf,227a0f62,236265b,1bd5649b,96666154,115a2840,c37be05b,776c85d5,fa47dd69,a1d89724,f8801024,dbb52b83,d162f2e8,b8614224,4744afa3,530aa1c5)},
+{S(4f62ab4c,b7fb0d13,12620121,9841e932,b0de312d,674cd002,315594e9,81dfb3a1,1145fdd8,c5d16653,a9129b0c,39fcbbd9,5968d22c,ff2127bf,91e89847,35e2834f),
+S(99813c3c,dfbda83c,a798f7df,5ea4f172,3de535e8,2f257577,de67250c,6e11370e,38bdd34b,18bd081c,83307a5c,fea76990,11a50437,ff93fc6d,aa22f9fc,d5021226),
+S(75771c9b,9b6e8b88,cedcf4f4,3772b3c2,45f72319,7544d57,c6c920cc,137aad40,d8867e96,7b79997,c0526603,a2a6c201,18d93115,4362d804,1542e3d2,51a8759f),
+S(fbc16489,7bebf96b,ca01a281,f2ca36c5,dbe51bd4,1a465b43,3311e163,16bbc85b,7959724,16729f2d,9ade6f1d,97157761,a81baac3,fff31e85,13b9989f,12f72175),
+S(2d625707,d2c68919,8ad1b321,d60f6ba0,5e106abd,41bfe029,cbc60bb5,d5e0ddc4,5b3e78b2,a007c909,3722440a,d40c2ea3,6f71717b,c5822eef,322a13ad,614ba310),
+S(cf23f492,64ab8e60,afd8c0d3,a8a6e938,fb6a3b06,66b9abed,23b6cb45,d5b33a78,479d121c,571eb9c0,e24c14eb,b3be4816,1363d752,fba522ef,a010ee7c,324be8ca),
+S(c2f0f458,e56f387c,a92c2def,f02c3e44,dcc010e8,c2b7917c,751121e1,3e49df7a,d2bdb0a0,f56b97a0,ffd8664,1b34a1f,24ba9123,d089b256,6a50126b,90dfd936),
+S(4bbfdb7c,8b393fa4,bdffb5d6,cfdf0721,d17e03d5,ff142b34,a0741039,4c84bed6,c115eef5,b815b3b0,c2f2ec4d,98b6a09c,36d8a320,2f81e777,eeea800c,662441ed),
+S(49868964,9201341d,bb24a12d,ac0cd8cb,d973640f,19f13540,dcc9d21,d67a7d76,3bcc0077,5c6c7256,fe0e1d3c,a812ce2a,c16294a9,7b9ac6bb,32f796c1,3a2b50f8),
+S(a1e22bff,d0567bc4,f0261a3a,db9c918b,a7d81791,d68e99f7,f8247ab1,1fa7591,9d1c7ff0,db87b176,5e284432,11299012,94ce44eb,31a4d6bb,49fc3cc6,d4735aaa),
+S(2ad5fc7b,610a3ddc,e4950765,a86b12,e1f5e0af,89da287f,c930c035,b81fbbd0,9fbb7378,36c20ee5,bd5c081f,5588f57b,4fff0b1c,71a9f334,cff1df26,60085c82),
+S(fb4dde8b,40a51684,ee59627,d5adba43,50d2ad89,3b0f4aac,6f7a9900,22b0fa1c,753d7603,674cd3cf,46ef3a5c,e19f0d8c,3be64921,6a581cb8,6dc62674,abfb221),
+S(f36e438e,9180c9a7,19679a88,51f96690,6dc096ae,4a86e60a,a2a72bd1,b06ddcfb,3fd68d3b,64d890f4,aa653b0c,5a670273,a53409e9,242f0ccf,fb7ea68c,c91a553b),
+S(7ff1d3bb,8de59536,19b5fa0c,9519cecd,fa121bde,ff31a689,65c18c42,d182e4f7,2953d0d,7b0d215d,f75955d2,97a8ce92,4b0f6ce2,726b29c4,2b7a2786,a459c551),
+S(9385aa58,1de6a3c5,4b479bc5,8823f699,e65da4df,bfb277d4,b56b76e7,c41ee4f5,95d109c0,5e67ff73,2ef10f46,350a7578,f7aca034,962a573c,707b3977,97af5c72),
+S(4f3891ae,e86c16d7,73237e7c,d2db7c7b,7ba260a0,4b85f6dd,91e2443c,bd21c831,a96dbd49,371bb1f4,9ed1dc90,17927def,30810e2e,b938de57,ab5665b,8de5e86f)},
+{S(110f05a7,489138c6,51e48771,d505c7ce,68bd6e61,67cf4c3,3933441f,a236f263,761652d,178d0d5c,f6189501,d02d7078,2f10f835,27894d79,4f93dff6,e90a3b16),
+S(928df081,cd85c375,e53e825d,4a250160,a1a893f7,95e0a9b8,5378942d,e206a1f8,1f86b51c,49582064,f21e9673,3786eff1,dab4e713,69273cbb,9dfb3d7c,2d930fa2),
+S(ed504706,702b297c,e62c2788,54a29419,e7e0f76d,d6eb602,e0defae2,8f74882b,67f3801f,31e2c8f8,5c3e409b,b104323d,ee41c794,802dbafe,ba832409,4efd3486),
+S(d620c03f,dad08f0a,a67287d6,7b68e8ff,57d8fd09,2ecc0731,a236db54,83d897b6,f2a66048,6520abff,aa6cab39,b90c1d3d,89ac4738,fe560114,94117a73,60f30a41),
+S(fe57b1d3,b1b33889,148509af,29a3c797,3bc726d2,593b14b,1118580e,6b8fc04e,d69026bd,820418aa,74e6c115,b2bed0b,d4f48cf,f1022367,230679e9,7d878547),
+S(1de846e8,8e3bf169,465b4d66,6c0cc230,36c0bf12,b35ac6ca,5dd59935,59c11063,d925394c,c8eac4bc,31a49318,1821560b,bbe38d67,ea0040a9,42a1747,defb69da),
+S(7a4dd28e,3ccf40d8,7ab743fb,6011acd3,981e4322,486d38c,6b6bd69c,368e9391,89e0dc28,680ddf3b,1a6ee4f7,b2b5a0a4,c417a9ca,4cdbaaf0,b08b4de2,e2653010),
+S(593296c8,840e55ee,f7477ce0,e9d5747b,ce2a24f,e5e518a6,7813da6b,347fbd26,7ea971f6,37522c0,f0bfebab,17fef91b,8216ed49,1a0ec5d6,55f12062,6344c124),
+S(b784949b,4228eeb8,b8e9979e,fd7309d0,3e5e3a2e,e658b017,86b664e6,db7afe2d,7f836c1a,3f93744d,e4f0563,456e3f36,56b536c3,1e8e7b39,5c0bc78d,9864910e),
+S(2298a36f,6e66645,5ef8ac54,a3564c12,59b2ebcf,3a1dc1c6,8f290f78,fa366974,da9db0a6,26701765,293d39b7,1600c991,effb9ab9,2bf6f95b,a65f6b2e,9c3477b1),
+S(253bd683,f5421bc3,4bfeca7b,5b48e6e6,d1db6398,983b451d,6f327288,513516b4,61b02eb9,b3d32555,9692df42,b4ce3267,297aa78b,7ac94afd,c08c3534,3346f8c8),
+S(cd328c8f,5aa7ced4,d0b0744,39be20d9,f44924b9,c84fdee2,8363fc9c,1cfc80b3,9b0dcad6,5365b7bb,822c2c73,30105fe1,907e674f,9f11b13d,63385bba,b3278d3f),
+S(29c6e1ce,3f8caa9c,d366a0e2,3b86fc16,986c3d12,7c391b2c,aee4ff5b,5c229a7a,dbd8686a,e8f95d99,cd7f133c,3211620a,b02d341d,2a50d04,e27a2430,de9f8371),
+S(c2a3ace5,382bdf5d,a5dc3c5,9994d92,88efd495,32a3f0b4,a129cb69,a77fdfc1,d79b9211,55651adf,bacb249a,42ad5059,9bf0eb15,1d8b91a5,f6033c13,73db0480),
+S(778c13f2,1cf131b2,86bbe8d6,9c4913bc,a0932939,a79a9446,a8c908e8,bfc396d8,963bd25e,461b56af,990fef90,5af101a3,a96299d9,44ffb8a5,e6c59359,a4d0129c),
+S(c65a9cd,15f3b7f4,c0f668e8,53227b2e,4ac01865,37c58514,165b6bac,93e43112,ae0f8b04,1d5dc2d0,7a8688e5,ffc70da8,e7d5b4aa,92faa455,64fe31db,2d24929d)},
+{S(81f4223,6a39a14e,d2764665,22edb719,f2fb72b2,c571ed67,343e2c57,4fb60e5b,34f10ee5,6c1d5e02,51e8ba8c,9f129391,521f0601,2ebb4549,7377967a,d8347e4b),
+S(bc6f8e27,8bc0f3f8,6bce4dc9,8ed98476,b4d7427c,3e3f3a79,f488d8bc,3f11313a,5a54bc1d,4b08aefd,53d16afc,79b5065,b637c0e3,d74dd46,62728307,ff6c7611),
+S(259905bc,501d58da,72ff446a,315b9f75,89df7c14,4d9cc937,bd962d74,12ac343a,3c233cbc,a1660e91,fd41cce4,674386a5,d949ddff,2477cbb3,737e03f3,3adf25b),
+S(5051c982,aa4a5d22,d8c4f57,42130c23,4665bcb3,4cfe0567,dfaf3e4f,a03d9721,9413cf4b,50784ad6,1afd8a6b,8ce23ae4,80480b86,6c08ac48,24379d57,8a4062d0),
+S(c0158ef9,e70349fe,2d32c1ed,30c87c8,90de8ceb,46ede75b,2addba8,de2b26b,b462c3ff,b14bd8ba,c167709b,dcae0d46,a908fe55,2789e2ce,c5e43d62,b71aab70),
+S(740d9568,b420a2dd,389b3fc8,67065e00,10eb2961,56eb6774,15755b4b,5e277ebd,eec4d9bf,693994b5,13ef673,987ec7f7,2d2c767e,9b41cfd7,858aacc7,edda7aaa),
+S(ff333278,480b444e,99b65b7d,926675ec,6b16a64e,dffa2b75,9c5410d6,5fba02ee,1d0f842,e584e31a,480c8202,1824936e,e2f717e3,df72412b,155dd2b3,fb1aeb4b),
+S(79b0a263,dd3a2b33,31d1369f,8e94cc7f,aa9b8364,2918f9cd,aad62d9f,7a5cbffb,225dec00,4437c7c2,2055851e,1c4968b3,f699dfc5,846c373a,13bec08f,5cc3890d),
+S(2a12e289,7cc085d6,30996a53,cd9b0e64,4dcba64c,7a9c4a5d,c4affde5,42717d25,2b8e848a,43566c29,fc5242e0,4892cf58,1afb0667,9bb15b87,69252962,637e00f2),
+S(dbf0d2c6,29bb1f42,10cfd3e7,2d119391,16d23a94,fe0c2828,9140a498,1cdd0749,54594d41,8b87961e,b6486d09,f717471b,13f4d39b,1b82484d,8463a4e7,b28ba974),
+S(2a1eeaef,b3478200,de3fea29,c1368d22,ba52fed7,1175ec88,4325833a,e93ec8da,1220e686,97e0347e,d0117f98,ce8929ed,eac74f0b,2fecab82,11bc5eaa,638742ed),
+S(8ecd4b9c,beaddc70,f20c09cd,67314d2a,3cf3c115,44cd3508,e74050ed,16e9f34e,52ddfd1,795af7cf,9f083a22,35c15084,87bfbf79,4e3af1f7,2183790e,a27b73c),
+S(82ae9584,b592fdba,88ab48c,ceb9ff2e,b95f09be,29ad4700,104bf18e,bbf3e036,ac06c9c9,4d3f79c8,8ab2313f,dd507808,36cfa91b,f65c06d,76b547b1,24067fb0),
+S(c3b19b24,35c6c07e,4d3254d2,1e0a30bb,21c2f45f,68a441e6,925c3ffd,72b230a,3bdd5ded,600a0c77,3c620ed1,d9545662,af5f3ec,b3b0763,6022a466,866aec3f),
+S(49622f79,9672c94a,26f86edd,22e9e5aa,b8ad1a62,33abddc9,fbbabbb3,3fe276be,c114c6bd,f30f79c4,194100da,847518c4,f5688a3b,70dd60b6,c4f765a1,cd324d6),
+S(c07b88f5,cd465622,2fdf8cfc,c7191c4e,a3dd6d18,21adf780,63d62d31,2b9e02d,e601c411,839e2371,8136fd1e,e5adf8b7,c5e59969,35bb152e,955d2ffd,58964059)},
+{S(2dc8f27b,b3bdcaa9,2feace80,f2f6212f,8209477e,531e74cb,f497372e,9a2f2263,7feb63a7,96b55bee,ffa180ba,fef47776,fc4fabd4,2ccdcd97,64b4bab3,10350790),
+S(ac8dc04c,1c1b8c7e,abad287f,a1f62206,f307ee19,4ba04fb2,fdc0a908,98a13387,a06c53ed,5fce8db2,a52ccbde,38121da,fea83bcc,96482765,26522b5e,d762b0ae),
+S(20c34368,618099a3,d6713278,7f2b5c9f,3aa0d419,40329291,3c97237d,b44c9072,e1d3f30b,8c4f9d31,df2dbcc,435a0bd9,e4ab9342,7df8f04,90c820d7,dd620444),
+S(dfa3550d,49bee1f9,304f5bd2,5deb92ce,b1e5d49a,4e3535eb,5b55d429,e133d559,1ddc87e2,b3cad5aa,922391d2,b9bb11bf,a3db93cc,244dcebe,147eaaf7,610caeaf),
+S(40510142,20037393,7df28434,48899fe7,2f6469a2,1d77e591,d77d2a16,b3cd9aa8,588afafd,85ed985d,ab38fee9,306ef133,ecb087cd,30ac939a,ff13e1ef,a0b658fa),
+S(120068a2,65e77949,5450c83,c6ec07e1,b6825840,ca7a00af,6ecc6d3d,9590e73a,e2eff01b,d4aa986e,dec9248e,f69d747f,65dfa98d,537d5443,c1e7d9be,317d371f),
+S(52a1135,9611cb35,6b71c05e,c0376ea4,27c9938f,1191cf3b,dc7d17de,9c29b39d,6299f3f3,2f0bb14b,f1c94b36,88fcc301,cc25c90d,def2f2b8,7b0d0050,193c987f),
+S(23000a37,c68fb1f,4ab535a2,db033b76,10f252c5,7de5c03a,47502282,1200ea26,3ac23fb1,f0a42714,829cf914,ffada79f,234e1e5a,dacffd5d,34d3ca52,976c934d),
+S(810aaf67,f149fb01,a64e25e6,55888a74,f6eea8b3,c5e96fa0,9fd9c689,3e7543bb,abfe36e6,3418a26e,7a19f2ae,aee72cba,416880a1,770e2bfa,79eeff32,35885e82),
+S(cdc0b689,5afbdb4,f1c9521e,280cfbad,7b543619,b8d77c2a,20fdfcc4,66129e45,9d59f91f,bc3894f6,820fda03,ae13748b,572f9a2,d06dc312,4f824831,778d62ff),
+S(1bf8e290,19706636,e5d2c34a,39de3f02,331460ed,916c17fe,8e36d097,9a5edcac,e15e619c,f4f096db,1ed1d51,ea5208eb,41625ee,6546f40e,324b754d,e0e202c5),
+S(e54a04cd,f5893d80,1a1cc8f6,9dae01e5,34b92457,ab7319a2,4d2b6c2,78f57f76,8103dd9,b4a89691,b079aad5,71267e5a,f601dc04,858f065e,aeed5e92,34dffc0e),
+S(711f6808,53d18d8b,911e2342,a301a805,a1c76c2b,b5987775,f5867df,e2325d00,91630ab,cdeca550,a32e9df2,30f02e64,983eeb89,396487d6,4b3c9d59,8350ca01),
+S(765b24fb,d42d4d4,a9dec609,48ce7f91,7c3eee70,49a36373,9e44297e,3cced026,56408d2f,d859a211,26d14e77,81302eeb,87371c17,b1f9bf50,9e15f545,c240b79c),
+S(b68f07de,6b13a7ce,739a7e9a,1c6a526e,d1df5cda,b7fad149,df46ace,3acc9919,5da1b851,a81fe645,47ef84a8,fe9a39ce,fcdc9abc,a3e95818,b34860f7,f54230bb),
+S(d98bcef6,cb3e4a1f,5b9ff8c9,8ef7138d,ba98e80c,200113da,e7508497,54954a96,456c5f23,96fc1c71,79f6b3a3,a82d8bb7,8ab73d62,61b6a098,77527964,5ad80080)},
+{S(118d5053,fa3ef05c,810cf906,3a410f53,38a9e6bf,513b9a7f,5259112f,f84ad7e4,a371fc9b,c9182528,27d6c842,32e4e44a,9d32eafa,84f1a02d,a86039d1,6309e92),
+S(ce68cb2b,ec0e3f64,ecab8273,71f248b6,9b25f4db,94ca333d,c8d3595,e6f4db70,a8355f23,f22d8225,7adc9865,55350250,8c0bd086,ad7d8b74,ec3f3ea0,ecc17e88),
+S(7834c202,977d96dd,d2897bc0,b2e9b093,6b3bb91,36f78002,85dfba94,cfde7d74,62df13f7,87aecd0f,5f299a98,1b4b6763,82b69aa4,997c8419,1f93eee5,5a8da0e7),
+S(5dc11a79,34d41b29,5b384824,89cc2fc6,eae9c348,2baf631,94023e2b,579b750f,bc8719da,924cd9db,901bd524,a5eee1eb,fc161286,508e192c,10f3b786,f167057a),
+S(40f1348e,a0032b45,3f2b5339,d687a06,3790503,b4cc7b5e,374828dd,5374566a,b7c04bee,58dd65a2,b5417ed7,236557a9,5d90f89f,2f9be760,408f3806,5ec9c1f3),
+S(5bb43572,6cfefc3f,dfcc3a89,3abe627a,3bb9fe92,2dc39256,368b630a,1bbc91c2,4266fcb6,cc3d664e,72943e33,3fc94db2,b76b9b43,1e5956a5,5fcdb36b,27d175a5),
+S(c61ca2a7,48faba61,93325019,dde522a4,b4ad7ffa,ffade4ad,84bc46be,390d6833,88fae1ef,1728b211,6a24bf40,7df169b8,5987f26d,75a86b84,37b91bb5,607b4eff),
+S(ebb9b8ba,c980a86b,9955a450,493875c1,1bc446f5,ead71ef1,8eeee3a2,ace3a417,77aaae20,a2959de0,8b53b7ad,6434aa02,f3c56dea,877d07b,fdff41e0,aa463b7e),
+S(fd3b8946,296987d0,22123898,bffec5ec,b1072fed,c8e66617,a8d1b00b,6bbd9889,54240cbc,7512e6d4,744393a,439e8b4e,9973dc40,34c68b72,df04ddb8,b89e6acb),
+S(80aac570,6eb40c4,c6b5cdf8,e25e5740,3aadbc07,f75b190a,444ab53d,4743ca1b,196c7cc8,3ce92b15,ba110e5a,ca1ca0b0,c3205f61,e58c1e4e,fec5e957,72274710),
+S(450df283,6de16aa3,3b893d69,39c46224,6ac30dab,941be908,42b3d5c0,714f9670,970c934d,5b242d56,b036b8d9,4b1e8661,45181ae3,cd286bc2,962035a0,fd852a57),
+S(64c57089,83eba9da,d7871fb5,64481b9,12612c20,4f2bfaf3,635314c7,3cc9bdb3,7abcce5c,fcfea03f,74665734,13a66116,d6289bad,2209253d,45e77ed4,bae9a738),
+S(4692afdc,34fd208c,72726495,7517fe0d,b463d39,6ba454ab,c1b81898,cd7343f8,57b67c27,8a0ab12b,5eb4a55c,933cb45a,d6b5d955,2110762b,61fe79fa,535a783),
+S(511415a6,1371abd8,c86d7fbe,4adce11f,f6cdf1bd,330eb95c,7c40ead7,e5fca53e,4adfb29,87b9ac39,baefe7c8,69aa931b,c07fe15e,5a5811b,9add7b77,1d56c8d9),
+S(4aee2f4a,ab479df9,b2e1ed5e,19230669,e15d153,22b5472f,c8b138fb,7d542c30,92c8e16,fbea4d0b,114a7d84,292a9643,6839624b,daaebfd3,9d621f3,7f8b141f),
+S(8c0bc6ef,25a255c9,3816cea7,599c39d7,acee681,9373b82e,96b81a43,dd267223,8ce9ad90,e893c56c,c0392afa,24109c94,2098b5c1,15468b41,e444568d,9904efa)},
+{S(568b3e2a,2db4792e,4ef4ee66,14e201f8,a847fdca,38bb003b,adb06d74,1e4f999b,7334b395,61cbcce4,49d83eed,205a4c40,d91d2751,938ba7d0,6ed9e5a5,e1ffea7c),
+S(ce433da,719f5582,6e69f248,3c3db9db,de45e0ff,fa2cace9,f75cd210,433fadaf,c296f641,5200cb35,cb8e1f23,20b86cc,9b341541,b9256d77,afe302c0,1e2420ea),
+S(ea19269e,945625dc,138b9e60,249baee6,8c63bbb7,2b898569,5459629,fcc7ecf1,f5a7bb81,53552b33,86deb8c0,26d88504,f6a85ac1,b9290ef6,f91c0278,2cbb370b),
+S(19e8e269,b972af70,c61983cd,cb7446f4,23dc93fb,b0e3d8ba,3fd02476,477e596,3081973d,f2123602,770716d2,6937f31d,f0835148,8c9d1375,d2bfec67,24df9c3a),
+S(4968feff,d34e4649,9ca759bc,8e90d374,de9e3199,a13e2b04,28a10df6,15fb7696,2936b2f5,8491cc78,38bdf347,a4ee0b36,db288e5f,9727980,810c6eac,a8d1edf9),
+S(d258654b,45fe5366,3552e85,a7da0755,c4598eb,68aa96d4,624875b6,580ea359,52501a5,e7d7d931,417373ff,ce85e0fb,43ef595b,2056729e,b1daecb,91998d1b),
+S(b86b0c06,76f64537,f9d38200,66aeadad,4f3b68b4,2b5974e0,9f218d81,a547e04e,52a0e4c2,b827e0b6,894ee674,88a894f7,577cf3f8,fe83ebc,9e103a28,3c054690),
+S(9212971d,b38b95f4,e7b9cae1,f1519878,80ca177f,73adcd28,a6d03e8,cefe9a31,9ddd4828,3b079a75,74afcdd0,e7cc4c24,45a4e893,ddc2d2e5,d24c413e,9c676041),
+S(42a070d,929191fb,fb691944,a311c931,40740061,2bf33de2,809dceba,ace68f50,5429699e,47e22e59,b6cf8cc7,dbf2c81,23d90d2b,a48f6839,db4dd0c4,7caf4412),
+S(895744c5,5b460749,a1e8b784,19e8f6a2,1e53f06a,ae99bb50,df9bd94f,e1a20610,a1ebffc6,da8a497b,bbc52ebc,4de1f196,881d88c1,948b05ca,5b0641e8,c56ab005),
+S(c9e8e6a1,414b54f6,c19e9ab4,bd9bfee0,86a3e8ea,7a6b3e58,80cc5988,20fa512f,6878f69a,59a5be7f,3e60c1b2,6e9b9663,9097a6ee,7facc8e0,e242f56,e9a2904a),
+S(dbf66722,d309634,872fa8d4,d9ddf8ad,2d198344,41a8515,7521b491,1e9e3473,1823095d,dcf42369,f3ff23,cb3a6ee5,273b8f98,7de2bff9,67dbac10,6b76928f),
+S(b133817c,f965b7b2,f5d80c05,b82049b1,464713a7,7cc80d53,1e930434,387ea7d,db03e202,2eec1d26,4cccb613,7679c6e9,e08ef66c,f11378ac,add8985c,88f5e693),
+S(e198a2c6,3f0bbde2,f31b8d67,776b8aed,bb86ad58,e2896a67,11b5d5c0,fd3a8d3e,e8df361b,ef77d3d4,4ca4f7d6,c554fc2a,9e2401ba,96769bf1,503b243,8d8306b7),
+S(5f3ff8bf,148ec6f7,18aba1fd,8ff0b37c,18e440ee,51beef26,59652c0e,39ab7255,5da559a9,40e22dca,bb4270d9,31acb7b0,2b19d7fa,3495abd6,d5ca7f50,d6281445),
+S(1e9ca439,c93cd0b6,d9886234,105fc1b3,178ba0b1,c71742cd,5c043ed5,56045c5,f7d31c2a,1890f586,214371c9,77501788,cf162d88,641a5540,c49ce4,323f3ad8)},
+{S(7c32fcd7,13305cc7,44fc4ff5,2d315e2d,d4cdf7c0,31b41a64,db6ecbf9,fd4edcbb,7f002bf7,b8e1b8f4,a4a4f2b,1922983e,fb901e13,59cbe934,8a31d91b,7bc86bf4),
+S(d8aebd7a,db0ece5b,ff422046,6856ea0a,6446862a,4d0a94ef,ac7327a3,acb201ab,6e96ecfa,e9697649,faff155d,cd01bc34,e6c8630,616dd143,1c816c4,9d1168d7),
+S(7dd764e9,40746adb,e6dc9e23,f113209c,7fa75c21,7da4cbc0,dbe257f3,cc0e3064,97e244c1,a0c8d68a,fc7a3192,b1f029e8,dbc41d85,8e0b273e,c4eff27,97e63ce0),
+S(394a3fb7,320acea1,cf99bdeb,fe686508,15b3b06a,500df196,c05459cb,80b7781a,ec88e635,9615da20,cdb6a16a,245c694,ff550cf,cfaf2939,39103517,653f8986),
+S(a394cc44,e64c4b5d,b36b4dad,d0a458ea,9c760e80,342b99f7,5227e22f,6acb0de6,de19b475,9fe10976,e9f38b74,1738b12f,e69df952,26c20d19,5f9135,33458682),
+S(1277835b,322b7118,9ea416a4,c9a51518,e3a42d8,419f723b,d2b242ec,f904e26e,ce764cd2,558ffc31,779f610e,b33be553,a80a0dd0,1136132c,6e84b142,e5f5a8b9),
+S(7c7527c3,ca6c3b60,18d6af7c,9ad79f0d,461e3d0a,c426e0a8,3bc1610a,80897370,fa7dc6af,7682554b,9c6f4b9,3822bd91,46bdae61,88fd2626,6f13af48,55ab23d6),
+S(aa59dd0a,2e342733,a151e156,a82d63c8,9e992530,7bd774d5,d08c327d,27409a89,f14bb267,18ee5ac4,44390439,b8727f1a,f5b62326,fbdfb36e,23ff2f08,3a60e223),
+S(733fa3dd,25e41c7c,4e548de1,17572b87,31bcfb22,57f0b822,1be31943,4bc2560c,976fc63c,e29bf97c,499e220b,80bc48d7,1fc07e4f,27afbe03,fb4a610e,e79bf820),
+S(d6bf5a3b,ee8b720d,266586cc,70fc5518,a577cb70,44dc30f,210912c9,f1609bdd,bbb5bd29,290cf1b4,28fd9150,db667219,878b1507,121c6fe5,b1730f05,474f98a5),
+S(b3a7824b,4da122ce,1120fa6,f5046205,e2989b8d,7c4bc118,d540c91,ab1e4b30,c7e452d5,d23ab126,28301b38,d2286c89,87d402a7,7b5f1fa9,ac033675,4f4461b1),
+S(383beab6,dccedb68,d6c461bb,dffd27f7,1dee3acd,2d9bfc78,f9c723db,2df57ee3,913f9d57,286e287c,594a99de,f59ee375,c8d5fa1a,ca9db39d,6397d1f4,ac524650),
+S(1de5be5b,6fd264a3,f9445660,995afa2,39587660,9d224d8d,6d02e600,4e7f74c0,f3abf699,af7033f6,cee828e,3bcbdeb8,fcdbba9d,d0f76121,a77f1e9a,cc65c1fd),
+S(787be997,f12fb2ed,744bf579,eaf42ead,86d36029,e3063ab0,78e1c932,da1896ed,d652cb82,20ea596,70a51612,71249ce0,62e5c584,bbfc385e,622d7e0a,46a243c6),
+S(f5870f7c,4dc65314,8c4ffaea,79154e05,1fcd6769,54939f5e,cc33779,f99634ab,fdb57c99,9d115b59,6d77bf19,e42ea2b7,c0dbf4c1,acccf2c,ef82949a,2895ef3d),
+S(721a5aaa,c5bf9886,543b1e42,aff4c222,c6a63847,df9d72bf,7feb57a5,a007e26,94fb4bb8,fb1f945a,d53dd78,82f6a789,ab0dd874,9d1621ce,38bfa0e5,5b50bab6)},
+{S(29d70da5,92094c96,e293c115,42b9dbab,b30df8db,ac98416b,65b0b75b,b3ca446e,a8a5aa3c,c3269596,dd8a9d98,87a3b772,efa1c668,3f8a947f,ff80c662,31c70799),
+S(357c14b5,2c0eb735,74f675f9,cd9ba0ea,9d0b5334,d7cd5dc,a8d6cfb1,1359a86e,85ad0fbf,9b2f48f,86fa016d,89824a4d,eed06ad8,3db7340f,986cc8ad,ebe9b5ea),
+S(72047bc0,29b36192,b1549087,5e360270,a7fecd3e,1ebe8815,61e7e0e9,2ecc6973,7d1153b9,54ec6a42,3df1157f,fc9d413c,f8c3837b,d4c84bc0,40ee5654,6ec95d2e),
+S(a459ac94,974bb47a,8e5d3ba9,169e7327,349ad551,ba8ad12c,fb4e15bc,d4894e91,699eedc9,aeb4bc3d,cdb97dce,2ca019e7,218ab0af,2790bf80,c59ba156,9cbb8c74),
+S(e6f35f3,4a17a4a0,a76d997,afd9a480,bf8ef1e4,29441d2f,bd9f9d2d,b3b93bf1,67feedbc,de8e075e,fb80a4d9,2959104e,a990d813,2b0d395c,8e893212,d47a2047),
+S(88924114,3997a2ef,1e36bc46,7e7f2fd0,52fb02f9,cd79f4b5,e6ddc9c8,51e26aac,3b1ba5f4,8b0a89ff,a4ce1113,934d11db,26b88e8b,2eae3680,57048db5,e5488936),
+S(9ece7680,448a953e,5469839a,12fd31f4,f6d07a2d,434159ab,414bf7dd,60d783e5,2d60b5b2,e6966e5,7969016d,74059dad,c03cc7ae,f7b80825,9a629041,e0cb1b1f),
+S(aa98d665,de5df68,9e7d323e,943d411,e98db3fb,51124855,256d0b00,579caf90,ab791e6c,ebca5631,22965594,b52b43c9,5f323834,53b37368,281c895,7d1226e2),
+S(306bf517,c30d81fb,1d931b26,49af7c70,87246821,8562e255,42576f53,2ab4e48b,d0d15fa8,1391438a,5416f0e7,1c7b9ca4,512fc802,d4c46a4b,779cb1d5,2842059b),
+S(2c8ed21a,fb154f9c,c3e9a6d8,dd047af9,c124e6d2,46da9faa,36a580ce,91b1788c,7dda9e28,6803924c,d8ce710b,d68e0a85,fc2f8678,45258f99,43bbeb2e,f6a7528e),
+S(4acfe8f4,6ea97663,56ecb2e1,c3055379,cb4a311e,7e4dfe9f,642fbfb4,18abf5fd,a5d6abd0,d44bc614,ddf25ec4,24526070,100873e7,c4501c65,c3045e24,7478c836),
+S(f7b1d348,378a094c,3e8ccc30,3dd8ca52,fcfa019,24c52fd7,32544a40,cf47d783,b92c436a,8c7e7ca6,6dfc1223,c7fad4c3,c65aa955,b8ce913b,45437e54,9dbbd1c7),
+S(1ea80a5c,38827511,69cb24f8,64f4c1d,a78f4dd4,6509a73c,381627a1,7862ab8a,126c7a44,5fd6d3a8,f57a3a55,4fbe3f1c,eb9bde07,99afad93,fd7aa6a,11a0dd16),
+S(e76aaeb3,9cc18870,6067a0f6,54bc317b,89a72313,2b2bf079,9ee88af0,41597d5e,6d75f6aa,19727219,ea7f6f57,c0a7d801,3b9bf256,d8764219,d261b79b,48ad6108),
+S(c6d1b9ac,f9fec422,e89102ae,4fa07021,e6c81049,dd1e66d1,d0903ad9,e072398,2e971363,41b318a4,dfc4e5b9,31a79f35,f90e673c,6bb7aa17,a2ec5f35,def14ff9),
+S(d9faf06,ba5bd56b,ee78db82,4db777bc,e57aa5ce,5c4b98ff,8c736164,d4d8b2dc,97af746b,fb890c20,7af10658,38d9b850,2d8d0524,7a5592e2,89f6ffec,a66c5168)},
+{S(7885bb79,25196ae6,f45b6658,f3c04f5,a3b76cb6,1d60eaf2,45cb35c2,2552267a,9839aae2,b4d9de01,1a119d3a,d269a821,dd88d287,2f031910,a2f3cc22,2e8555a7),
+S(fac317d2,cb5e27e7,74deba28,d3c2cf69,4364a190,329787bc,e325d80b,150c9fbd,c56d5053,b0a73378,b0d5fbf7,940ac348,abb46107,1b9f0100,c721154a,4d084e7e),
+S(9ed46b01,f4e56c79,9b3f582e,2e35434a,25ec32e6,ab497137,6eba881e,7ca96ad4,5e8d2e27,96b8dc65,867f45bb,a623c59b,a365d840,1d9e889c,23d6acd8,d5bfb365),
+S(6acaf24d,fce1919f,c8d8743d,7a5b64d3,3010a8e9,cb6340e9,7400d143,53620af4,b767f30a,87b29f8e,308a95b9,6848eb5d,c8bada19,74cee095,8fb75735,86f1d733),
+S(1a2f9605,fdb3e5e5,3445c350,4e550312,b36a7dfe,5df0dac2,23aa53e5,dcd7264e,cc4b4a0a,6febc03b,155a755c,187421af,52a7e6eb,2227858b,c56b9feb,4befb45a),
+S(4fe527ab,42540438,9d9afa,2a1da83c,968fe9c4,f678256b,d4998bb5,af963a2c,66dea7b,7e0540c4,75799ec3,3987a775,6ae86d43,56a295d0,fe8242cc,27ad7c4),
+S(756ee16,fd1019ac,30e50f18,5606d1f5,fa91a7a0,b01329e6,2a949c80,b7590bba,4d190439,98483880,6323163a,6cb23a8b,e47152e5,a5439d24,513d30e0,21511050),
+S(63935d2,711ec4d9,f33fb116,ce09ea58,b45b29ab,79614b14,278539b3,4ac44e83,703a7f21,c47d413c,9235fb0,36a7b441,87a90768,2d435953,439f0624,6550944a),
+S(fb6bad0b,3503cf55,8a75531e,9e8915df,9a88277b,c766b37c,d9685b58,a91e3fed,483feda,8c214ac0,92ba5274,8b158b62,3a0d541,65fb5b0,7ce07e58,78cb39d4),
+S(30c7d349,a9fd4825,82fb09de,f7d638b8,633fca82,b9bbd65c,ef8f6dcf,1c8c05b2,56c76d9d,6df4bd0a,a8030dde,a3839728,71aada1b,61bb34cc,1eda08ee,a14761ae),
+S(13faa439,f73bb77d,d2423e1c,9989808f,96d98080,af214cb2,e0cde511,9eba8a14,ef6ed341,7ff03112,ece400db,b274d225,bea30a63,c9a063cc,9a987827,d3e380f0),
+S(42112f0d,7628b3bb,7a0e4f0a,eb58d2b,9915f797,10aca7e2,67214532,2ebf502c,a1ad23fa,d76d983d,6cc4a654,95da8d6d,c5372849,d7fdcff1,34e5903a,e8441ce5),
+S(d23fef28,114b49b9,77faea5,2bd0e30e,6a9ef11b,c513cb8f,3107e04a,e26a9ceb,5a4cd8b8,b0dbab13,2abc50af,c9d700bb,bc28dc84,3c12060f,612134f4,fe40aea2),
+S(463bd8fd,21ba250d,1eee7500,e88aefa8,38211947,fee2be73,d6511300,6d28b5da,20f6f300,e2744ea0,1ed033c4,b5b9e7b6,707c06d4,d97c4771,ad35e305,b11aed86),
+S(21795062,e337d1fd,994a7cb9,7407d33d,f40ac1de,4a585c1a,2b3ad400,8e03c4a8,e93a4632,da05b347,8be71e28,c55af8c6,b4b161b8,9f48064f,31755a1c,f6b0ed96),
+S(e8f77f4d,272c5dd,f001f939,4b658b96,d58a54aa,bccb9de2,c501211c,6cf9364b,7044feed,21d1dd9f,80705bf3,d68fd160,31c02dc8,5a708f18,1bb7ce91,8655ea61)},
+{S(422f029,1f51c4df,af233322,7015e4c1,ec8175b1,a8ab6b2f,60a9e291,7242d940,51ae32b0,ed5d39d,e1d61437,d363d59,181a68b6,4e052bc5,9d132da0,9c1f422e),
+S(f560c762,be8f90f3,b12c1447,4c3a2d37,53634a4d,fef3344,ba8e9a65,1becd50e,49bc8c46,e3207440,76082021,6d203410,fda33028,d3ff4ee3,af065502,ec96609f),
+S(edc545ef,2402bc41,c4d7b437,65830ad7,f79128d5,91b4201d,1acb5f90,a7ea6a46,ec758c41,e0ff7bb1,fc28a91c,435c09d9,90338a6b,216504d7,a538691,6af80454),
+S(67709f77,e324ec1a,fb57e5fe,43215f07,3cbd3d48,f6cd0bbb,c01f3ae4,1a3c5905,e65102d9,c33abbc4,82f2ed0f,fb156cbc,20210eda,19b5b345,f21150f3,ffb29e79),
+S(6b73d1be,a5b5ffb5,438e4cd8,9af6d9c2,bc41a2d6,a9c6b405,ac6fe5d4,6ff920cb,84f7e06,6dc9bde7,782c7636,8aed4a2f,e570e51a,8494864d,88e6c1d0,ed732be9),
+S(5aa1e427,64c4f0c8,60423a6d,54cccad7,f6093ba,b6a0e383,9e1e0b63,cd652121,3245d2b0,fe27d590,15cac18a,861d9ed4,a5131871,38faaae,4c01d1d7,759fc9dc),
+S(a8460aa6,9cd68695,94288486,1f92a61,e7e924f,1d61b9be,1d31f923,efd803a6,f6bf9b9b,f65a68eb,925f6c63,4d16a6b5,6d92d68f,fb807084,7f09c0d9,d95b852a),
+S(fa3b7d59,bcd32e9f,a4cee765,d9b54c1c,65d8cf67,8a88f6e5,3c3192e1,64143cc7,95ed2300,2f55b1c2,21061dc9,bd26f0ed,82c05ee9,4bcf1bad,3bf878e1,3ff33b84),
+S(febd5d39,68446d45,fe1daf28,2018c980,f4a5030c,7710edfd,b79daa69,c10f2296,b8c37c65,bc7c42a0,65be333d,1827feba,70eb75f3,5f289e1e,413e2325,5ab9d551),
+S(9d696bb4,4dbff608,af3ba93a,e98993e7,4a6d8902,42d406a1,7ae9c609,6bb9b29e,d92c5408,c0ec7131,9efb50d6,18875060,da65855d,8b2d1cc0,9f07f3e8,c0e1d77d),
+S(8f4c98cc,21d39520,e837b075,479b8646,2837665a,ac82541d,1bdda842,ca5c2562,3de70692,afbdd878,5a858fe5,51321576,95f464e,cf2c1237,545b1e06,a1cbbe6e),
+S(6d31e611,2317acb5,f2ebfc35,a4f66f05,af86ed84,720335ec,535c0f5a,cd14d952,8d22c3d8,32324673,9b20d9b3,7fc73b78,fdaf98a9,6cded077,6e561037,b2a85b1b),
+S(dc891a7b,d96f10f,b6d8fe8c,1c749ea0,328ad2e1,353b49a9,8056c5c5,b637df01,475aca0d,c67d1f8f,92f6ffea,20c48300,2b0f7d3f,f5d2526a,cbd8b89f,25ed3eed),
+S(c77ede67,1432ef33,73af321d,7d8fc6c0,f254aaa8,37feb14f,34817740,a54cb5b,ec2f427a,cbb9cd4d,96f83c7a,450efa09,6e12917a,122eb466,23c6b63e,dba11010),
+S(7334718a,cb39692a,91c140fa,67c21c0c,da368242,aa1d0d2d,7223a0d8,5ce102c3,e3051cf3,4d5e51e3,901449a9,3595fcb4,327c59bc,1e2d92cd,4d4699c2,26ae4e84),
+S(23c7e5d2,2b0bab9b,b95fbfe2,e39e6902,5c7bcc89,fad1a0be,1f5da48e,74b3f622,bc5a3ef3,c4679a16,ba09f2ef,4fb202a7,83257a5b,3f95b629,455e4173,9b5b317f)},
+{S(43cf2273,e372157c,2180640,594c144c,93f64fa1,75f28cd2,5e7efebb,14028a93,1f8b092d,4cabc600,33782374,10eafd04,37d6436f,6064932,6f8de6d,94059d4e),
+S(83bf8ee2,2a69edf4,74e5b45e,50aa0bdf,4879b4d9,61d4b937,ab18d3,7869fe5e,296e8081,cb72663b,5223c040,a64c7aa5,273fc6ce,70261af9,cb3e071a,79b7c3ac),
+S(66b8e44e,c913698e,d68f3b1a,df750442,442a4376,9ebe7859,84e4d233,9f666b1b,b09c7c2f,852bae4d,f90bcaaf,a664c792,ee88ac87,2d2e046d,aa6009b2,2412af94),
+S(fea69879,e4eeadf9,275589dd,6339111e,5d29c581,30f22fb7,c6755d5b,2f5840f7,814a6766,65b54689,b3e2d415,4519bc8c,9676cf4e,91b928ef,3586da12,416f546),
+S(bd147b40,5c3ca694,ceb4fe83,5f95676c,5428a065,add89f79,ac5859c9,7dc4d5fe,67544f50,a639f7a0,602a5fdf,2d425fb3,edea0cdd,f2cc5f9b,c61189bb,79cfbf58),
+S(b3806514,838f93cf,6118c8e,f759cf82,394bab94,e020ca33,7d20c8da,bb61c79d,bf4c1bc7,35c5a806,d682a1fe,239a1027,51a547f1,7d1d87fa,59c9384e,3ca1fe45),
+S(bb002b37,60adf886,a89d4ba3,23c17868,83f0f3dd,fd4232f1,28410770,563ba5ea,4aca65b6,68115f32,186773d8,41c061d6,8d4a860c,442b3f8b,c72776b8,3bcd22db),
+S(7857b661,420c4251,3db90fad,ab97bfe1,9a1e3f91,5d524f66,86d0cc01,70652ac,75205776,8c2e420c,f255f9b0,df58bf4c,39316f63,612711c1,fc7fe5c0,b4e7ef7),
+S(cd386b61,bfbd43e5,109b74f0,5d765ed0,5c4ceac7,85bff4a3,c8386ca9,54fb4553,aeef237e,892a3a1b,84183222,91f9119,64bc7240,2f32da46,47a159dc,4a7d6611),
+S(94dcee6d,e36b346d,4dfb5ad6,3f488761,2a5734ae,e251b07d,6f81a3cb,7d255409,3265f73c,af4ef3f0,40919637,4e273be7,c0588085,1940bdc9,9d0ab66c,c488e203),
+S(53199671,628f4a30,89e65e28,67489a1c,7f29c9a8,a34fe8a,c144623f,9ef9fc4b,45740e72,3b787de5,1ddf66db,96c91bbd,19954170,62fed0d9,69522916,7b2b10aa),
+S(38596053,40ae3e91,d005b3e2,3a998796,195a5c5a,81b24286,458cb7e8,ec905e3d,5484588e,c9dc9485,bce07479,b1dfe9d5,c5007d9b,eb7c372,f52e526f,7627131),
+S(594e1bd2,3a5ced9a,98e48bdf,dde40807,b9c2871f,79e1948d,7167b59,9ffecc53,1d7fcd4,bb9bf0ef,e0af9ed9,8da3e36b,2ceb0ea9,e1e3358f,4a590022,f5c530ea),
+S(bef8b23f,95e0bdbd,3c0ba1fd,7afb8a58,1f038e23,e3e9eac2,b8848a08,6f23f816,9a234d55,f9c810b1,afff2a1e,b1738d18,4308d19d,11a0e1ec,cc571eaa,b9663c26),
+S(632003fc,f53c8833,5542f216,e4020ef5,3eb225a4,be6c0e59,b92ebfe6,52721652,bb4d2dc2,f255b8d2,5c1803b8,88f40d8b,bbe6b2d9,f6754511,8264f809,cbd61844),
+S(b7ae730a,e74aa208,9f3266b1,5358369c,4970c009,e6318581,4d541b07,c6c80a96,43a7b349,66b4bd5c,a1e45593,42642d35,ebc969da,544d4cc,65519915,34e80d65)},
+{S(9f10aba7,5a7b9fa0,233bf53c,d819ba2d,919f8acf,9a5e6717,2c93229d,547a40bd,85485295,254a4456,87b065aa,dad21f32,b31735e1,96333fb8,11117a00,d0bf2361),
+S(75f8bcf3,831197e8,b9053c1e,5194155e,dae1867d,52f74911,a478085b,52d916b4,90448c24,35180385,a15a335d,a33af722,c9a395a7,16937aa6,b861aee5,b0b9567d),
+S(2c05f980,7e24fd5e,87e4562d,65aeee0e,315ebc12,35731606,81e99bc6,be544c8,3a3c9e33,2e78cb5c,8ae90d20,edfc9eb0,3ba0ee07,82a158b9,154999f9,55e89210),
+S(c8ff77e3,76a2c4ce,46664e1d,b33f281b,90e34103,500a9a46,83038062,42e59969,1d609bf6,2f6d3e86,c0510de8,4a42a45b,3fdaedd3,77101216,e43c2d86,751d7456),
+S(b3205953,aa71cd5c,88ef7e55,3b94c8e3,ec4fd654,b7524c80,51908174,32850864,2c5d67dd,479dcdf3,41db7c5a,e0d03776,f3fe9ece,32dcda0,274a7955,b45edae3),
+S(cb903c76,7ad3cd58,66c66429,9e9d07f1,cd35043,66784cd1,af3fc75b,73c4499e,8ef65e96,f1998688,2af0fedd,e0266d80,780ec031,fa47cc38,9e7bd059,eac83ba),
+S(1a975b06,9e3f032,7fa9b706,3533fee9,f72c6c11,7ece27e9,cc83934d,a0c5d1e6,2cf46c5b,9f3596d9,5739dae3,a87564f6,13eb944c,5d1b6da5,3be8d76,14ddccf9),
+S(d708ccf9,4dd50c89,de00a127,1cbd92bf,29f440b6,401c28fe,699f6f6e,50e0367f,fb173384,e0463978,a15de0ea,2ce146d7,b826f6a2,616d38ab,ae0a3dcf,1e11a1e),
+S(11d850b5,4aa10ef7,8959f5dc,4aa9ce13,8ffa25cb,1034a365,234d0f6b,46458146,33162f6,bbb5ce33,af19cdaf,57dc82ec,69291c12,38e8f266,fd0becb0,bab02e8f),
+S(7cd60401,be3033a1,85784a4b,adf9dd84,f4bfacc1,952597f0,6730f2d6,924332a2,6efade89,37b517f2,e1a1d41f,d6e6c137,d581d7a3,b55ec632,74ef8b87,1d9dd370),
+S(bd82a0d8,34892e4c,974aa93,a64edeb0,9aa2e3b,16785166,c970206b,53ecf157,541cd14b,1fed321d,5a044abe,aa3bba7d,74c3f44b,db3f1fee,b05ddaa2,1f034ac5),
+S(6f77bfc3,760934c0,edad8b77,f56d6309,179c8fd5,bbb731dc,42c279d,89f99a44,662854fa,e1da57ea,7e8eeb13,b3bf6744,f28cd210,ed461ede,7883dba7,f7b59d6e),
+S(f31d35d4,dd0b2e6f,5b236e98,df56ca98,a5b6db2b,a2a8e0c4,eba41ab3,20cde154,e33e127c,b9c16469,83d71085,ec7ec9aa,12d41302,fa769c61,55af26ef,a7d1785e),
+S(c0ea3ba7,be2030c7,790a3d48,7e720893,2e070691,82bd0024,5483be62,7916eab3,f5055e6f,298bb6b8,47e99275,64cb29f6,54d2131,1ff0a3ba,20a89ef5,992c0342),
+S(23a696b0,e70e4197,d299abd0,b301b383,3df6f123,80120247,9e8b59a6,10a1fcf3,3af29a3b,ce23b0ce,afd9a25c,f1505958,b85d4f39,318a402d,cc48f98,ea953edf),
+S(ac79289d,c14206be,742005e5,f367c4b9,e2b645a1,2c21d30f,ffeac884,e6f888da,27c49ede,7c0b42cf,91de7682,e6f224b,2a19f98f,72f40054,69c3121e,da2c4379)},
+{S(b365ce49,d21ca341,c173b6d7,2238c56b,f080d218,a89e57c6,ce1664f6,5c290a44,e77935dd,75d26531,d4045f72,3b4b5dc4,6608f8b,60f58989,d2ac4002,c304cf04),
+S(af35612a,d1230c6b,3a260abb,69cc7099,f7025c1d,2a14d196,1914236e,4d4e1a44,b67d23d0,8737e96e,f629634,44b08f82,822c690a,b3d2838e,46ba259f,bb951b2f),
+S(183181ca,37069462,5de3c48f,b8140ce9,84029874,e8189b4e,bcc8d91e,eb8d681d,a1780f41,8e7f00e1,e5ff8147,33a34699,79e6fd38,bfc03491,8acb042e,6ef4d6de),
+S(4c1db656,41753e4e,5cf10f66,9a3e4b06,e18b3d0,1b56961d,8c400ae5,9ba239b8,cc57dad5,77b3d6c5,d96109ef,1006e33f,9c888598,c7248f60,5a531800,dd0c957b),
+S(f0f61e45,cbe01564,17fdf9e6,db32d3b4,84fa0bbb,4be30aea,95dfc8ea,31529ee8,4b0de888,b71c441a,1c54849c,7e4a8129,d757213e,52b1796e,a5ab02a7,87087757),
+S(84e4bc99,7066633c,a3997a55,a3fd3ef1,b4b99302,74349fb3,5da10b39,2f49a022,64512422,1acc41ab,68644fc,73b39a3c,6bcf1268,849bfc5,84aa7c85,4a48efcc),
+S(a71007b1,e0747b7b,1b8b4398,232ee970,97f623ec,4924b8af,16ea98d3,6f98102a,91039909,9c42dbe9,1bdd719,d31bd00d,e040752b,cedf9927,77e0863a,96a5a259),
+S(2f72cb7f,f0aed6c8,ef75c041,4ebc413c,21705889,de3e33dd,d3057668,4f882553,86450b7c,bfc89e63,ba1a1754,ba42125a,8b41f12,d5a5582f,ad86675a,b05bf998),
+S(99f0e44,e11ea919,f16fa130,5ac6e72e,c11ae9dd,e08d3143,2ea9aed0,f902cc77,43f4e6af,ca0605e,749623e4,18027ee9,c64c059e,560d6c80,6219eec7,e475367d),
+S(1aff311f,bed263a5,edcebb0f,e149302c,c0cc2b0b,92c69d33,d31c5522,eb9c9a94,8533cdcd,97190439,48d38bb6,845ca07a,9a9485fd,dbd44868,7f06143f,e85f046),
+S(4a2dfcd1,4f601607,43273bfa,3702be5c,57f99a6a,29fa7f92,666d5020,6ffc852d,95931301,821cd6fb,63203fbd,a894de3a,57eb75b0,2f273f3d,bf462727,301dd9b4),
+S(59c5a0da,480f334,944608fe,a580c302,965d26a0,dcd43b31,3854b302,af6abe35,40e27b3e,932ede7b,40490224,7b937b7f,2938edb0,a11b667f,16a90ed0,2a0309e4),
+S(570bc6cf,fec905e1,564906b9,ebdecc13,60abe5a3,61f7c5c8,f03cd2ae,3ef9d125,55bff728,1f73045,82fe61e5,d4a92697,77503b39,9b320c45,ce5bb9bd,35def5c5),
+S(bd7dab69,88ece4e3,621efa68,38a24032,ae9721c4,fcd835d8,6283b5f8,f9f02ee4,c7442cc0,95009f1a,193766f6,d050d165,d8cdca90,2ebe6d8f,237fb922,a1b6fb06),
+S(a780a23d,eb8459fd,7195ea96,e8fedf8e,8b38edef,e0e0865a,b1d69d85,1d27c65c,f8c94632,a11f7185,9e3c7963,f24904a6,536321d5,f5e4652,3195f854,355de49c),
+S(f0ab42b0,bb80f147,7f9fe3ae,f5944100,14a94142,e8312b91,86b0d6fa,3f0243ea,237a6ab6,b5e08f03,a7b58f98,e72227ac,6d3660f5,43da0694,b6821c9d,332724a4)},
+{S(38186a1d,6092b158,554f3f6d,c6de049a,2037577b,2da8db39,163fde30,b19dbf2a,a8cf045,9c7ea28a,415d01f4,47566d54,f986cab5,eb272326,442f32ef,cb6c43c8),
+S(aaf937eb,c2084f16,301bdb4e,aa106263,cfe483a7,d0ba1b16,b93d921e,80f03a4d,7e18642e,8be01d91,86366b3c,c94aef09,c02501ea,e084a87a,a94d2d2,f85f84d9),
+S(128b8279,ec2731f6,cf2ceed9,fed2cb49,f53d6237,112a84fc,c678189a,8e19867a,fc0dedbb,32524c1a,f44fefc,6b0e6bd2,ba65f23a,54f69986,52953154,41a89489),
+S(7c3dac1e,6d89c8b6,e9645ec9,39dc634,a2cf5adb,323be29f,625703b,caeb21e2,a1b87f33,b5bd9351,15f16702,ae411a91,b3e9eb6a,814e678e,b3dd7431,6dff896a),
+S(609d5c22,c8c7c1ae,211b4ca2,f709a1ab,75624b91,cb95d2d,6ea6baf3,eacc12c4,65a7b252,f13d08b,4b007967,69e6bee8,edb5cc68,d4ec8c46,527bcf77,535bd7bc),
+S(691534e3,2faa9206,5fe7e8a1,8a863d78,afeeb581,97b1f48f,4f090bb6,9d3f9d11,2bfac0b5,35202013,60268e74,2376b901,a027d6f8,f0d91aa6,59341544,118a325b),
+S(e6736a7e,e2f3f088,27012faf,3b3d1b7e,ed8dc136,3421e438,8ba70c5b,72eb4eb9,5a9b2651,26652e14,8fa3639,be0b4d5,1ba519c0,1285964e,7aa8a699,45bc71ef),
+S(e3f05d6,2aa7b9d9,6e9480a0,a3eefe32,f1f6d45e,2fb1215c,ee5a3fdd,f147b154,47389f33,e03817ef,1051db5b,26efa711,46cf673c,12831163,2ee13576,b8508013),
+S(b5041a3f,cf8b742a,dee6540d,e9974cbd,fe527e2f,4842a208,630b9d2,239c0657,4ea01569,fdf5b2e1,7631d2e8,2c2c0bbc,291d69f2,fdeb077f,4ea1df9a,6303ad57),
+S(e5463af8,5dc090f9,9ff72771,c1cc3585,dfbf9dfe,329e69b5,fd0ac2ef,3f715ad6,c54085dc,a966fa9a,985d8e46,79335dcd,2d22d470,790f71cc,1d0aeccb,be9c5fad),
+S(104b12f7,8fdbd727,2a5716f1,51238362,94261142,48209abe,e4dcbb4c,d7bb0416,ebb07749,12a3ce9a,e20b6696,e485811c,6a15ed53,a1015291,90672c47,e4442c6d),
+S(1699a1d8,d04a07fb,32fcecb6,ae89092e,fcaaebd4,fd9c4af7,d79a5eeb,2c18da72,cff1a93d,4ccd9199,9c6259bc,fc975ab3,4992c8e1,8d1cae10,b0c1ce2,83101103),
+S(13df43c4,4de2fda2,4b932131,e7c7fc62,896f2747,706ff959,85f98248,4cbc6179,1da341b8,734cec8b,74de0c08,a040ff68,d8d30ef1,dfe1ffe4,72ffc73d,a6a82a74),
+S(2e101469,1b7e08f2,d3aa774c,f8f91ae6,e9aea711,fddeccc5,d816e5a3,dd752dfd,cd4e7f49,998ec720,a3ed2e45,8136fbe7,9942011d,da5d7fd4,2c56ed77,29f55b98),
+S(b0296b3a,f9e819ac,a7b01bd5,7977ea85,5d2ba87d,24f820f0,c1ad5f84,6b9d10c1,192cc5d1,b6782d9e,e3f444ad,61c0b8d6,9772062e,7b03c615,b1cb7550,a76e1d11),
+S(f9a11b59,6e369694,fd62d423,518e355b,a796269b,d2b5a88b,1c8bc812,40fe464f,8c919e60,86160ff7,8d1ce269,4512c16e,75f8a79e,da39df1c,ad104555,6d1543dd)},
+{S(d8e5f3ba,c152215a,8cf8ca08,40aaad6c,7d001aa0,140bb0b4,dcac726,229ee272,e59390a8,21e8608b,e53fb258,a426dfb6,ca762fd0,9d574f7c,5555cb8d,7174b381),
+S(c2d7dc95,6c6721e8,6effb64d,5e1c4ec2,ffb13a28,706669fb,ac30f035,9d202663,8cb207fd,63af5339,f9a705f5,79f446cd,1a11c0e4,cde750cb,803b840e,5a4970a5),
+S(bb3445f8,d7f47cf9,befd1a73,76dd9c96,f6d76fb5,b6d4b7de,e7f96dc8,c9e8f025,c1fddada,756d03aa,7d92135a,a8dd783d,63920238,1c2f5af4,7e702cbb,97ea783b),
+S(1271c587,d72e74bf,286ae688,c022e129,f9a95567,9f74755a,24e85d81,486699eb,1259045a,cb14f2bd,7d5fc85d,d8c58303,9181d367,63e4733a,56172be4,b19c4a40),
+S(76274ca3,884de253,ccd8e9fe,b2f7ceb6,1c7b6c49,1a358b42,e64994fb,80808263,d2639e7,539ec38e,b14c7d83,47fc4d10,c2a2d83f,81a1e4ad,1ba8267e,bfdd4dfa),
+S(8d80c172,ea0f7e79,d3f2569c,49d49bf8,330cff73,fdce6b14,3a4a349d,e7cec2d8,86dd76ee,63fb3a85,ae315029,3e2d024c,ff1649d3,c823ca63,5a1fd992,975fda33),
+S(441e6584,10404939,367bc434,f1c64c42,5b2bd11b,5beeec47,35919f02,4a4626f,3db30e8e,29e6cedb,7bb465eb,92526c4f,4b7d8361,b151ddb1,da878a87,86d83573),
+S(10d89274,b0d498f3,d29df723,937c3838,49b4ffd8,b87427bd,a1d142d3,160c2b88,15df3d2d,b11e35fd,a423c709,24e497d9,77941b44,20e3093e,539d3406,e2fcf435),
+S(3960dea1,9431a970,6bc4e886,8cbcaaf6,dfb9c87,17e664d0,4ff6eb5,4108f2ce,3cd86dfe,6d967078,9f090213,4661a7f,78e4854d,7e79e519,7283f8c9,a89ce6b3),
+S(a1f9b8bf,15de0a59,141449eb,3a52a335,ab881489,7a7ae82f,964d3bff,f1dd38d8,dd563a40,ebbf06d0,84e21a10,dfd117e3,c8806975,53556b4c,2fb51100,6b498d6a),
+S(17cbba26,9cf2b92,7d442075,396090da,62a2026f,ce3b3eca,858feb21,76659de2,71f31851,a2561f97,b0ac2495,d72904a0,bdddd83e,83a1dd87,b0db14e6,ff1348b5),
+S(10dd7c20,902512d6,6484c830,53063a20,c7474504,3a378949,280a90b9,f8504102,1624bb25,937d3b47,43214401,c8016fff,f770f7ae,7d78d8df,381c2de9,13bc856c),
+S(7ecc1dcf,5e9c56cd,43cf311d,5b31d269,50db89c7,2b51b624,745b3c75,eea68899,3ae1b7d,2e8252e6,43b73aa5,6d7c9b62,1f79d1bb,1d2973c,1bc3b150,a17d1ef5),
+S(f57d8aa8,ca4c8377,14ca1ac8,e2fa456f,4c94b304,fd0b268,2084ab52,3768827a,2c5bb2ee,e4b509b7,7cadd78,4202c12c,3644ec47,9c599009,581f8b6a,7ef5bc83),
+S(74905ca2,7116aec3,b96d16cf,fba3431f,5ccc3cb7,e5747525,124b5b31,bd6fd066,7d26da6c,1268cf67,846954f0,48c7dcb3,3a1244b5,8f0a8026,c3dbc651,68cbe871),
+S(4e0b7166,de12f0ff,baeb2464,ba205624,e85b9238,4a3ebbcb,db9c6038,94ef0cef,8a85223,cf784126,3419d777,93fb66d9,19e3428c,5ab844dc,d3d9cc46,7ea95c10)},
+{S(f41bd2b0,e0f49133,747e831c,af4c7a0c,22d2b55f,1cd4ca53,1115d81b,b47754b0,869485d7,26d4687b,c57a9eb6,e90e93a7,bce3b523,998d16c1,297c996a,b68c4fa3),
+S(ce2e4f9a,3c32ea4a,2198e61,8d7d88a9,153111cc,fc114a46,cb9b47c,63842146,5c90a793,c4f4b290,240dfc0c,1dc0df9d,a33214d8,3024304a,d49eab61,8c4d64e9),
+S(924f51eb,823a89d1,3194305b,45ba1f8c,40a58987,73cb1a5a,a4a4017a,b55af76f,8cfbe8aa,d3b759f6,14c98aea,3b3443ac,46400a2f,5cf741ac,c7f590b3,39f3ea0e),
+S(9f985579,fd32d32d,90ec233,c5577a12,b1fc350a,e94b5f08,ccd31cc0,33495f5f,ffae345d,8bae4446,bfd5b6a5,117c0b77,49cab9ff,eabbc8d6,531e0c34,fdaeb328),
+S(b4d25ec2,6afed742,2ae7f209,f4201d0,91dfd595,3418bb05,12b1ce25,455ba8e6,8a13f82c,47489b6c,72223047,e8e079e0,165edf0,4c335814,b971a5d8,27d2cab6),
+S(7f4ce1f9,acd1d262,6c6da2f9,7dc19ddb,ba3f15c7,7b6c88e6,3b0d4e41,a40a3c7f,750468cd,33a35da7,242142e1,e68128e4,b5210635,c4739aba,910ba9ec,c9c01fcf),
+S(67f46710,16d87e34,b2d53d5e,c54f9fa5,f22c283b,a3dc5a17,70fc4a16,1a2be4c4,70503598,1378a67d,16827d9e,c87c591e,afb16fea,6a5ba182,4f6cf6c1,fa92b772),
+S(1c30c0ad,43b0a74d,fb199442,b151865,7cf99e26,fca6e2f2,1cb97a6a,53c15893,3728e682,72a4020d,8365b4ca,eb153fe5,162e79c6,ca6a851a,e233a160,400b625d),
+S(d92d821,8443e951,ad6ad28d,b7bd7101,756d91a0,cc3deba4,219ee34,ba2f6017,fc3dab7b,ac2436fd,a39a65d4,596dabc2,b65f8f0,c1195a51,5d8f2bd8,4f5530de),
+S(3b6264bf,a47de486,3ceccda8,fe6c55a6,ab1d8188,d111b222,4aae150d,c3517ee3,e3f786ce,5adc8660,98965a41,62f4f510,8c1f34d9,2451af03,8f68e5f5,8f6c58d9),
+S(c6b7190a,e4d0c14d,b3cba3db,c72fadb9,da9391d4,2eb7ac68,4e1b20fa,d89749ec,f4b7f04a,b1358c35,1b2c622b,aabf3e5f,dc5abd87,ab3cb388,86f73d91,202ce359),
+S(c2846da6,a821c506,e022a927,257b8d21,57d82def,196f32a6,78b8cdca,d085779b,d5431c41,4ea1417f,3f4d90cb,c776ee29,9a6a8557,a256b3a2,58a887fa,fb5aa256),
+S(7bbe2521,1f987b2,742b6266,d2c598b4,1de04ff,70b689aa,8be97f8c,63829bc8,dfb605ca,3491a434,e53fd0cc,d8bb2188,c6dbb06,cb18a9a5,cfc6844d,400982fb),
+S(81a92f34,ce6c4383,a058d74,ac36b44f,f4bad7ad,b6ec6a92,87db84c5,9df3469b,31639fd5,7842ad40,4b204b26,7570a557,91dee70b,ac71630f,90924443,47597c32),
+S(9e309152,54a25340,8a533606,d8f8dfb6,9ff93f1a,9d97212e,c261dcf8,ea3d1d7b,ab95d903,ccce7769,cc185c1d,4e24da15,b9c05bc2,7977c754,1b1023d4,39d75d26),
+S(f72ff9,92e06721,559e127,28169de4,888efbee,e87542f8,fe0fa971,189baee7,db2e60c0,4678d370,cef335d1,d3e007ec,30dc03c1,f31c02cb,796de00a,f856e440)},
+{S(67c452cb,e71c61c5,8aaf68cc,b1f6208d,5646432b,86774f8f,60081179,6d5337c9,d5f859de,a125aee2,11dcc7cb,b50b4fa3,ef4f9767,7eb94f65,b6a181df,9b938c0a),
+S(b068a1a0,e36426fb,2d959715,63faa818,1da81aaf,3ba3654a,f2570e0c,3d373d2e,9d29d11a,9333182b,3202e348,f547a9ac,ed5b6468,83608526,682b10b6,e1ad0f0b),
+S(e33d0069,dcc14230,760f13d4,59c4ae5a,8af0383e,e6f37eb3,13a8b7c,587e0c30,aca7fc55,47536053,97b56a7,4d814548,993e11c7,4b89bf1a,b50ecb40,b9cbb5f1),
+S(77f40f78,10b06a83,71c1493c,61a816bc,10f3b70d,5fcd025c,54de5036,eb6b2ce4,618187fb,f124b864,d69ae6f6,c9eb674a,eb73a074,b95194df,967b804b,c66d3e56),
+S(d0ebe599,772c1450,979c403,25ef498b,69548f62,907bb455,1fba8f0d,c7b076f7,d0ffa315,3b96c94b,cb97af89,2f845295,ccfd1146,d8c682a8,3bb7488c,3fcec2f6),
+S(2fe20698,39f33753,819d4b74,f0a036e9,2aefe03f,5b55f504,d3e1af7,eb5cc0eb,27e67641,1aa1a970,fa0fa0df,8a147716,b52ac4be,489194bf,3f192ae0,eceab892),
+S(94dfb5be,319f7da5,ef283791,e6375480,1c337607,32f8e66e,bc649943,af99262d,4fedb692,4c6dbe8b,daec8caa,4273f77d,4736b73f,80446c5d,d4116329,5008225),
+S(a0147c3d,f958362c,177aea45,908de2f5,afdb005a,89182e95,edd3f4e7,74ee0cf6,c81c0014,b273d2b6,2e7d40f9,d9b169cc,67ebc773,be51d8bc,7f35ff75,f0eeca0c),
+S(91fd8598,f0a9c4b2,130310cc,417e7a3a,c1374b1c,2c76e675,f5f1a7df,32b1b96e,f2f277f1,154afaff,774390e2,e87bf67b,a722ee5d,b502a1c6,24042a7c,779d5a45),
+S(613b839,a2dc9731,a2ba890a,e8f7c966,ab3c4237,fc14b05,7c561f6e,208c77fb,22b63998,85a758b5,848a318a,5aac49fc,aa14c4f,cb29f020,842280fa,618f235a),
+S(653389e1,3b7f87e8,8d22d0de,d8b1de4a,b4902d12,a0c36e76,11ed3d0f,e1efcb86,ba710bfd,95e40d1,a4e8b4c4,cd1ee147,e01ebf1a,74f52483,4fc5148b,65a86e4b),
+S(7b5aaf67,bd31c86b,e4877624,85b35fb1,4f6f480f,69aefa91,30e3208a,f9f9997,afdce71,1bf55d3d,4cb01dc9,3870e40a,851a8c7e,a7217607,1d3285f5,c727a9ed),
+S(bbed5d70,be29d810,51bd811c,7f237856,7d097da5,cfb2d891,c0bc86da,7d680dec,229ba9e5,ddeaa4cc,498cce34,abea1d19,567e3a6c,878f8fc1,31be7b06,f8550aae),
+S(1c4562b2,1dc0d0c,1c4bd826,603d07a2,8b7545f9,29e0cdde,77a1ce23,5d378d1b,b8976266,79671f6e,bd0b43da,9eef06bd,99dff8ee,5092e19,f260f468,ef16ef0),
+S(a9edf307,c7fd7446,d71be12c,267a7135,688bf7c6,8f1dd65b,eed8208b,897dc380,9a20e692,9437be50,36a7b701,ad3a6a77,82234965,cadca1bf,4992da4a,24438f9f),
+S(3bce25,ad7ebdd3,43645652,954ccfe1,1c5e9597,fa3a9f83,d51ea36f,2b55aae4,cfdbf98b,7f3575f4,4d37ac16,41352d12,bbf7e13a,4315cc04,3e9ab067,b3e41c52)},
+{S(56d09714,cde8f0c,f1956cf,a56bb0aa,b73507c8,bc0399f8,c0fd17de,19e48e9b,d62e1f31,b40ca6ba,71de9059,8a9fb911,6c5f0007,df0c33eb,f50db688,ef0ab90f),
+S(8fd887e5,50b3b108,f17bf25a,12187b64,4b173b13,15d5dbb1,c9821c4f,9d05a37d,7b2d3e3b,731d83f,535c0c5f,1df2fe54,b1eb7c02,e43e73e5,42d0efc2,c9175fc1),
+S(64331c37,736130c,78f719a7,52603e28,d8a48c9c,33e3676,2ddf079,4647588a,9f214dce,bcf18bea,5aa4823b,e72df87f,634e37e4,6b8e696f,41ac44f9,76834a5d),
+S(6bed1320,7626f62b,4e323e92,ffbca06,4b682d74,59192c6f,a3569567,cadca363,8d435e2c,da580046,755f375f,b226ac7f,86d15c33,71114737,fc09b8f1,ff9d311),
+S(e1c8c67c,56fba327,fa0b3790,8dde77b,a187df50,e2b0217d,8a151344,4cef208f,7be39f85,450ba36d,b2d46fa,457c68bc,e6c7d140,ac1f6f60,cc95d12a,b3dba197),
+S(9e927dc5,427d6859,30da46a8,915934bd,4483374d,263d962c,fa0e9710,6cf285c,cb9b2596,90224417,d65d7bad,f89a946f,df0f7b68,2a28099a,118c146a,598ccf01),
+S(fcf97f06,f70b77dd,47ee5661,ca5c5653,5b770d5a,ca61e88,10542124,92fa3748,5df3187,1f5af498,605324c,81dea770,67aa4952,7736a0e6,cd3cd6a6,ad4f185c),
+S(f8922d31,8ee1c47f,29a5df4a,66ea44e7,7ac4ecbf,2440c4b9,3815f249,bc5a1b28,9377d8bd,548e7fa3,bfef786d,bca70039,24509e9b,d22e483d,9218fc48,34941d62),
+S(6b7de62b,9c928cfa,e9da1197,951c010c,34dfbb7b,b111274f,ed5f4552,20909188,207d06d5,719938a4,f69be3ad,ffe9e83e,17d2e500,7d3dea3e,f34336f8,df3d226a),
+S(e948b128,c6217752,8f1d0569,697c656d,92a92b37,34360795,73c9d7ab,61db30b0,7518e35e,1a5e4e2b,64966fbc,1185e7f6,b59766d6,a8fbd37f,36dd9354,14d68af2),
+S(9d932075,5fd767b5,87d8cc95,3b2b7d49,4967a9ff,9fe673d3,8b7aa621,3dc4d7ae,80c62686,e574233b,21f8892f,7f8e3cf,4e05c47a,db687e38,4ce2079d,16fd7d36),
+S(46eff49d,a6d4dd71,108dff71,e706a9a0,952a8774,efe6eb8,6cd28a90,1b89a8f6,8b26310e,ee49ba70,77f085e7,cb2f82a7,97fa3d50,c96e7148,892f57db,f89e3544),
+S(72a59c5d,6286d1fe,c37b7bb0,ff34f67c,4a632530,37a22efe,7dba0305,2cca87eb,a3770634,995ae65d,c48151cb,f2e5efe4,bdb30825,cccb1277,e9728741,ea2832b),
+S(1eb0e1c4,8471f8d4,1e34c22d,16bad4f8,2f0cc863,db92d412,8d7487,1f7f2f3d,232f76b7,1cd83c5a,4349358c,a661639a,b4d6a5b6,8eed0f11,a674385,8ce7bf95),
+S(d4173198,3c8645f0,ec134630,7c6974f3,1aa396ad,f01a91b4,b618304b,34cad3b9,3825cdf0,bd454a15,ea3d18d6,b07dd5fa,42e1c46f,7fb6a1cc,f1a707e4,74b83550),
+S(aa030fd2,52791775,e051f0ee,be7d6902,7da01452,67b4e712,960692f,1d59f72b,fc83d72d,5a0edc4e,c05ecb54,7111a10d,9341df1,b0544177,c2eda0a6,70980ba2)},
+{S(31095045,658b8c85,ec0c4ddc,7cbce691,d060181d,ffa08855,f3f36722,4c026225,9a8cc527,1c231ce7,aeb6e73b,9acbc16f,4b331b01,4bd457b8,799bad40,547c210c),
+S(372f6cd,9a7b7907,4f730fa1,8cc1db50,a9747818,99df942f,4f2ceaab,e85c6678,7c9b42a3,81ebd00a,8d4aadaf,2e34daaa,e57f0633,94631677,ee675952,3c72753f),
+S(77e7096e,7215e184,cb096b45,54f60fd9,4fc5f7b7,28bba5bf,be2a85b1,1984daf6,4a913cc1,dae55633,9a90de21,746d3e55,7e8db814,c23aa361,be967ccc,cd319643),
+S(fd6c827,34bfd6d0,a6130095,d2c38135,e7992c34,6e85d7fc,e5b13410,767620fd,a3996aa6,1e87830e,6d2da97,5bd318f,c44ec9bd,ef552204,f3ecb761,b4541df6),
+S(24824f95,be9fea47,be33b438,d855e2c,d0d8982c,2d8a0b0b,d84bba5a,eb8cf0b0,d7e5c1d4,d6c708db,a5b51a46,310bd68b,18b521b,e765fb50,e1d8978c,6460f1a1),
+S(d1d2e882,62b62a1b,63ee8e90,31f37d7e,ba90b95a,3b577af4,c0bf5d4a,9cbc65cf,b88f4f9f,62ecbd5a,5165ab8d,92126053,66d719b0,9c5d41c7,539d9991,76d004a8),
+S(9118fd29,acf4c565,1ee732d3,c606d374,c4e5306d,90614ae9,d5aab499,4ad300af,8498b6d1,dfa4b247,ddc437e6,cc2f4dbf,d46b4562,3912a2c6,1dea8068,c86d9e54),
+S(c303d808,8f33b08b,ea8e2490,d8f4a108,27569644,9a116564,41166838,d6602b9,af7a213f,d6131447,4be0c27c,39abbe1a,3cc45c97,6f28182d,cddd7d86,ef1c26c1),
+S(4f09e673,cf4036ca,6b466d49,11b21cb2,421ebd98,f336c6f,9be27aa,7dafa17f,d0b9b5de,d7517f0,f452d744,cc5c7201,f292df97,e70cf642,4879267c,160ccc96),
+S(cea44dbe,7286698c,dfb48302,deeb4345,71ccabfd,844411bb,f0d63c70,626c8bfd,2cf9e22e,16dbc1fe,8f159bd0,36ff4496,7eb0d11d,977e181d,a885b200,a552108d),
+S(799d8d8e,8297a1ed,5052961d,646c44fa,787ec15f,62c0ea1d,13ba4ac0,3b42dc4a,9ac6c9fd,e28c5dbf,23c76484,6ebae2ef,b4cd7e57,592d6608,9ca6fef6,faf148ef),
+S(b7630524,9472c060,168677df,775b6696,97f281b1,3204908f,dbaaa74,b87d555b,5b157540,7c35c69e,9537a1e9,10410d6b,9c6d461b,9a00520,f6850bc8,9628bdcc),
+S(9866d83d,7d9fe0b4,8db8c7bd,557326db,c74d757c,d0f063b5,a05eea98,7847758a,f664b109,f96f49f2,b06f3886,4f7c7e99,de8ac6b6,ec08f946,3855bd5b,c74f512a),
+S(6b5cf6bd,565f780b,ad85093,3da4f5e7,6a168a5e,bb3c4658,c9ad6945,99ac1d0a,210f9b03,96d9d3c5,f2fd3ba1,a889cbaf,fcfe0bea,af2771fd,c021659b,835e639f),
+S(1164bba1,af12b041,55796a4c,d5b17da4,db37470e,782b7875,ed553675,201d72e5,9f5e04a3,3b913c09,56e72111,bd99f2e5,1de13c2b,f496b72d,3b7bf9f3,42572d37),
+S(ee09a791,3ddaadbe,13b1b198,a3e4e63b,5cb2f591,475827b8,1f9b81b4,1449dcda,88fafeba,bdd965bd,19bc434,8447f3b7,91de017c,3f89b292,4a6c6f76,839bc6f4)},
+{S(da34375c,e38127dc,cc88a823,55d763a7,2dd5d733,d9bac216,7c3e621b,ede529df,13426579,db1353d2,8095e1f2,a007904d,5c04a725,2c621ce4,41157aef,d2e28cf2),
+S(a781c07f,cb52597e,f229d634,b3036507,c297843e,3e784024,d38b0025,72dc3009,e4fa3bcb,511877f0,8369465c,475dfbfd,e0973309,acd09a80,a9d191a4,e21aaa84),
+S(d879e837,bb9174e2,19108746,91cbe6a1,9e19efc6,199464d5,2c9ba4f1,d32fa31f,e092c41,35550370,40c786e7,c3d5f72c,6be6988d,441829e3,85b1bfc,f1f00bd3),
+S(9fe2fef4,5f1c5e21,110aa61,ee83af2d,2d409120,c6e510d4,dc2945b5,936c8ff4,a1d3701e,26007255,f4b8db48,bc6ef057,a7c146cc,ff50ef2a,e5f8d868,5a684a4b),
+S(f2266efb,749fdf5c,dca22eba,8b9d8141,4b8cecf0,1bb25dbb,85f6e3fe,d88e55c4,11acf31c,ad2b4ab6,f3036259,a3b54bdc,6b8100f4,36bfc1ae,a17ba08b,8fdb8bf5),
+S(527063af,4e7ebc65,2d45ae2c,e2149c26,f591b12,da157351,bf8b97d9,d998d007,3cdb282,740ff232,d9ac9988,8f0c20dc,96476b79,133af243,eeb01413,54c71ec8),
+S(aa067591,c038a16c,2bb18b54,c6357140,731440f2,2b972152,d08726cb,f5654abf,81e8b530,a4997fd9,ff4122b8,b559c6f7,915b3d08,96ecc8f9,dcf01aca,f1f4a61a),
+S(7a147e92,6e2b916a,c23e4fa8,d9349aa5,449e65fe,c52f01cd,a7be7863,fa2a1bd4,d13d4e2b,4e64a8c7,824b3051,e277da45,fd947048,ba7f9f09,6e6a6189,f6ae356b),
+S(394773be,c4c8587c,a330f243,5ac5057c,f833333c,4693ed63,3d0e780,8d31dfdc,1374bfc8,7b1a7ad2,7c119dbd,cea325b2,c663aa4,18e9f62a,d5cdc878,88c8874e),
+S(a1b4edda,14ce5c2c,ed276886,5a3a1519,ff2b56e0,f0e06741,613f7b3b,37d001b9,e462525e,6a1ca74c,be1e0973,139b2f1f,2b1458b7,dacf6f66,cd80ba4,1195516f),
+S(a2a20ab,b8cb4a84,9625000d,a2ab6d80,6a2006d7,6994069b,2e50c83e,4aaa183d,3850f9d7,bfe1c1dc,b066f603,8a71f78,352d4cfb,44a7d646,81b86a7d,23b0b468),
+S(d66412ac,30ed909,4c282dab,c40624ff,7fc5a593,494a9be2,954d0cd4,961999fd,ad6ad3d1,e3be49b5,402880f4,c67d1546,7b6d01fd,63e4f45f,f87e5901,7b8445a1),
+S(ca666365,71fad850,3205e1d3,6c0b0062,9a6347b9,b9ad0a92,10ba208b,57fcd0e8,821d0dee,efc2bf47,4e575d10,83d63505,67235026,e50d9fad,541fb097,2cb196fa),
+S(310184cf,7c38bb82,b04a80a7,5c4678a9,985336b0,f60acee2,2a048e87,bfbc6970,4e21334d,6440e46b,a12bc971,31d55598,94ec8648,ab901a94,c757b957,662b41f8),
+S(e051316a,62329ec5,add4bf12,4fe30288,dacf5e82,b0977184,7c64bb4a,8c77802e,3358bcbf,94e23384,c9be2d87,79d56ab9,cc0fe4ce,23eb227a,741a3be5,3fdf36ad),
+S(1dee1a31,e28d970d,11436760,7861cd75,292cfc9f,533197b6,7ce40e8c,62db266c,7f9c4f61,f534b388,7f00bf73,469601c0,9c6971cf,3ecbded7,63560e1e,ccd0e32b)},
+{S(a80dd274,9cb3c40d,af91b91f,6e8b0850,27fae17,96e416fb,8a172c27,d39e8789,466161e1,e9519ac5,e1b03652,cd1ce6cd,1d7dc696,aa59ab5c,565d822f,af427896),
+S(493c8d4a,8a53ccc5,67d531a4,c833a8c2,6ebb3337,9f1f2330,9ffc7a5f,90ad860c,eb52116b,e4f5075e,e391948e,d7970c28,ce156e22,cd3e5820,ed0158a2,1158ea73),
+S(42a51205,5158eff9,ed9b2df3,3f17a809,ddea781b,b0cad4f7,5ee9b16d,f03447e0,4b305c2a,987f11c,1700cc3c,b09914b1,cb30379,257c122,cab089da,b0115e93),
+S(eeac8ba6,c3397ecb,ad93a0b5,1cbc9108,29aefb53,50a9bb5e,1db9ea58,a33dcab5,e0eaa01a,4596cbfc,76f418c2,6fa382ab,699e8ea6,1b700f76,98f5b913,da774b70),
+S(33e903c6,ee45628,db06afde,dace17e8,bf8ff9b2,a4d1e3c2,c43ab4df,693d71a8,a9abf657,94edb2c,80a50e5c,e210f39c,fd37ce86,5eafac01,65191deb,adc9f379),
+S(4af6278d,2c4ea624,c4a7c264,5fc4e5c3,85a983e0,1f5c0c2a,bab8c101,8ab36425,4af48c96,64a8e40e,33812cf2,6a4495d9,8bb7bc4d,3455e03c,21ed94f1,e6fcb069),
+S(2855cffe,89b73f36,c4851fa3,92ffec8,5b7b4c7d,83998c67,ee8e710a,473c9f72,ecd7c273,c26c1d7,4de7bffa,6bd26a51,cfbf9716,7e9875da,cab2e632,25766e83),
+S(1b06d384,d0fb68d6,396314d6,a6f12d91,3853306f,1a904494,24fb2c2e,d73e88e,3de9709c,cfb21234,f8d687a2,e6364caf,74ec05e2,82245cf5,9fe5d37e,e7e3e7b5),
+S(cef34326,559a1922,ff354887,54a1bc1b,72d70955,33591c3a,9a2b871d,8845a9a0,aa2a7c74,6a149ceb,b276bc9f,860a96d0,285e9a46,d62b2c15,c9a78701,7cdba153),
+S(39e39d53,d9c619be,c9204156,1c8dd8d1,4f5cba0c,94d93295,352c8448,d9ab988c,56c6817c,a33aabed,d8b724,754e8764,72e065fa,357917ab,d9d03199,4c04c3dc),
+S(28cf0dcc,2765d3a8,ae99c40f,57d14adc,5d21e730,271f2465,142c5369,80b21878,908d84d6,3774fb34,774931b2,12530d35,8565392c,6ec35541,1cba899b,3fa29e7c),
+S(383ae3fc,7967167,ad6dc50d,4af64da0,f5c44be5,4ac33d3,6779a8e4,7ec657d5,11ae57f7,6ef344c1,263974e4,25f27e6c,c68d25af,3c748935,f554e4f,5cc16ba2),
+S(9f11beee,fdf9dbbd,c9487b01,869a7b18,c8db78d1,36027914,bf363f,951b1b6f,335899a8,7abd3401,d2ca87f1,ca330c10,c098f7ab,cc2d0206,faa0d8aa,e7726aae),
+S(34278948,b6755e7f,2faa3674,f766e6dc,5029c644,55f7ba86,34e45370,a244eac6,f6e04f4a,f27a8768,23de58c9,d2ecfcaa,63a5027e,b6c7cb1b,428a159e,2110537a),
+S(44828d6f,29e24d8f,1e1fd7e6,13bec429,27a1fa28,803b1ce8,ac43804a,bc2a4411,4781fc5c,6039f0f5,fba6d3fe,4fa8cc9d,bf9c3ee0,4c42a0f1,8835ecbc,b15a2168),
+S(903910a7,1cb1f65c,838f84af,a3167c3d,f396436b,1c76403a,5526344c,ecb0a948,19978bd9,d0563fbe,d9cb07c6,f88e563a,7aa007d2,562feedd,5c8fad6,e555e66a)},
+{S(b3dee3f6,cc08c0ba,5b7ba3b8,50469647,34f7dca1,630e806e,f84157e8,2992c765,d523bf3c,6b004cbd,59db62b2,58395f63,d487d6ce,31799ee1,59ddf96e,d9bae2e8),
+S(f5c52e87,8142cf16,d01aa78f,179460fd,7a8d7645,498118a1,a1ec386b,c2860a44,868b7621,a41ca177,84d6b4a4,d5a5ac40,ecced5ea,d8d5bf13,e5bfa29a,5f998c38),
+S(26412ec7,e11e9347,d515de0e,98e14920,522610a7,2c090b51,f03bf049,86738df7,11a10543,394f932,19284377,1a2d0741,ebd89e8b,4a0c0dfa,8f8cc5c,db7cc207),
+S(8e313452,7bc65ca9,241666a8,bec7c6f9,b92f2f46,c91c3843,e430a22c,4e6a92fb,bf6e2a1f,122f4b35,aadf5b3,c03be0d8,406c0b74,c3e48b1c,85023996,a0eb1214),
+S(ed72bb0f,4800c2f4,2db83b49,137af4fd,40d53e5e,d690fe42,b93d8cf4,a603d3da,4dc24219,6e195c7c,c1bd412a,a0982a97,80ed39c7,c1f34181,6540ea3a,e52f0c27),
+S(a84809bf,a6592d13,47f1f37c,e7a052be,d4a5e06e,e27c369a,61a74f26,552786ca,7bb26691,5e544c06,cb7aec5,aa61979c,a77bbb52,67dbaa2d,13517b40,3ead93cb),
+S(889c0732,6ba150eb,cbe394a5,3bc9eed1,1c6759b0,4f8b82f9,79f24efd,b2469dff,6c9a2c99,7ee4f506,d3150dda,71ff54f0,88d8c904,596fd99d,d2f5017c,9d72fac6),
+S(b6f64c81,b5e1ea08,8b712eb1,7a7ba7c4,ff4821e9,3e68c16,7f385e5c,d5e097e5,99286e7b,2c2b49f6,2c2a5d9a,58db244,5e5f4981,b1a7f40b,b0f86004,40e249a7),
+S(4b131fc,5d5c5020,48aa2195,c079cb10,8bd101bf,bf4f54db,793bff99,3c2e4a0f,a689fc36,fb782cb5,c9722f4f,8f123ab9,5fc02dd,d1caafd7,eee117e2,e58c6609),
+S(8bc5c221,9248c065,b713a126,facbeb63,ef435ce,6759ced7,62e189d8,82adfb92,6663fdc7,32a65abc,8b207cad,dd72ed15,68bdf3bf,c2e84345,9f964f73,fa325216),
+S(ad8ca6f2,f29699e7,c4b055c5,bac3738e,d3b390db,21512a70,c3bc452,e231722,fbfd004d,174964ff,273fe355,d76281f,b47fa1be,eae7ec13,6e4cb5ca,5e703b54),
+S(12270e16,b82ac7b2,20bee7f9,8c45c6d7,87d14d3c,2e9a2201,67650e2d,c56110b0,390c44c7,4d01351f,78b80029,e84b211d,4cba691,1201864a,d0632466,ee747bad),
+S(48cb4d0f,e669f556,5c7e630b,bf435d0c,b0b47511,553301dd,a9bf6e35,b59fb9cd,be02b272,e6fb4e3e,79d6655a,aa37a132,8649b74d,4ab6d733,6cbcd1cb,d02d3f60),
+S(558b4a91,b01ae7af,dbe952be,e03987d2,bc64337a,8178c079,f06ee88e,88b4fcc1,1dd61340,ab7dd93a,6b6e169,a4879fbf,75d24270,b0708cc7,51552ca4,f6018052),
+S(af5fb90b,d4d48260,9fc8f8b4,34724c8d,162997f2,a6afe68d,97a6bf46,629aee86,ddfea22b,6fd0c331,68a196aa,29c0f0c6,7e828768,15527132,99c37e69,f788c4ad),
+S(2ba58b64,b588a995,3872a303,8f478ee7,ae03b805,afa95c54,62920a80,8a12228f,b902f3ef,aa4a081d,1260030d,44d31436,7c5a5b7f,4ccc47c0,1f82035d,af92c39e)},
+{S(df9c2e20,68e1e333,f6acc6c3,ba9928eb,e761d4b0,27eaa1de,dae18079,29705021,491f455b,6e937f91,35fe9060,a8c5b6c1,60de5af9,ba90aba4,c060145a,da1b032d),
+S(17cdf19b,1f93cbf4,47e2f77c,6f4adee6,bb62f01,8011e8c9,965eb336,899d4b6b,5d5d7d2b,33222ede,aa07c15d,7f07981b,a7a80c94,d9a4f2fe,7413b4c1,dff20e7b),
+S(de7b1e48,3d1e4e54,39a65ab,b74bf705,92a75671,11f83390,78699547,ad798cdd,61087a47,1c37aa33,f538234a,9179e9ee,b4af8e89,7d1f5afb,497ae5ac,8609f8ce),
+S(8baae56e,4774ca16,4bb58827,896bb7fd,6dbde044,3e88eb57,aef2cd98,e3968870,7edcb7e0,29411a39,bdc581d3,3a8769da,d0bb62b7,49e2e05e,4b698b73,d77471d),
+S(74bcf4a8,18f280ae,6216e44b,fa8c65f5,4de08ee,14f2451e,ab85dbb6,33ecbc27,a72d7c82,19b2307a,3747a6af,e17480bc,12fbadd9,f326a09b,442e5f7c,fa18aa28),
+S(8c24276a,5f468d59,d55a0ece,ffd642ca,ad8a7dbf,bd3ca6e9,abda6a3c,3e66c01c,b7463b3b,6fddb0c,cc2b9006,a7af9ba5,346921c1,ccfd24e7,4bb2d09e,9cf78c16),
+S(ca4c86a5,438e1b85,aeb79319,95bb4cbb,c2ca6eeb,22eb18c4,449f8050,f8403023,6a86b9d2,d205188e,f6bd4414,1f9948df,7d9bb06a,538d5016,fe310d53,b3a95d18),
+S(768b3d99,cf1a2d36,972615c0,b9dd964f,74692061,1d36bbe,892512,5855ae6c,5e821acd,1a49c270,b589b382,159ee4aa,ddf1a163,3f00513a,935f0f05,d4174dc9),
+S(f69a77b2,368aa4d3,55639610,d3a4d6b2,72638efd,4ae36772,3868146c,50a81e0c,afc09cea,e975c008,c02827f2,86b4a85a,25e9f5ad,7e26ddf5,fe73f77,edff3141),
+S(4d266e6d,8805e372,2ae985c0,3f808e09,4012a97,23cde34b,cc119732,1e3eeb4d,5747f4bb,38eb2a19,74315a74,7fecf1be,2633e3b6,93a6571a,e08bc2d6,8ee984ab),
+S(6ccfa6fa,a5bc8629,10cffbd1,c7815328,bbe40716,62b6e66f,3e6db1fe,d796430f,1bb21cdf,c4aeb248,454a6e96,e6399a56,e872effb,ed3c89b6,95d52598,6b801367),
+S(2bcac4d9,ad3f7bb,784ff508,3ee24058,871f92c6,db50cefa,3d84707e,8576c271,c2faffb2,f59066f,1ef1e186,3510f9d8,236d9d6c,37a9d5e2,9dc1bd37,1a349074),
+S(4ab261a1,8413f27a,328dd402,4dcdc6fc,6d31d071,f479d8c0,f1857f0,2ace11a1,e53ea413,8cd3ff01,21acc725,345ce814,a6739aea,e4600dbb,258df68e,9e3dc4eb),
+S(7c276455,398e6e95,45e253a6,b6381d74,1cee69cb,214686be,a81435d1,eb90c86,704bebf6,c434161a,66db20b9,5c859064,a339ffc,35510e49,bc378440,f6794d09),
+S(b3a041b7,cf5e1d80,ed040d11,851e5e5,292b7a20,b125f018,979d2853,4e0b2d6,f8f8767,5801504b,98013371,525962f8,d40b44fd,d54862ea,4bd33629,b34deba9),
+S(d10e348f,403ae107,5ac0f8af,b81b17a3,aa0d51f9,2cc8d271,2bb2d4f4,cea9a881,5fd767b,30135e1,418ee9b,b83719e0,5f99c3a8,87733c13,695dbdce,c1b26ec0)},
+{S(afdfa934,6f7bcc74,ec473e17,f5048650,11c5251b,bd6c0c70,c25cb561,4b004da8,b16eec26,d575cec6,b8720f94,4ccdddd,78a5c446,a0cf286,fd933f6a,999a4a39),
+S(5a4fce51,d54d54ba,b8148e3f,2f8da91a,50c5a4c0,409be13b,723f3ed,7879e1e2,5ae7c52c,f602d6d3,b68f6989,f6e7cb97,484de6f8,d729dbbe,587756b8,cc8b2d1a),
+S(53831467,eba14563,3181b826,839812e3,36c1a17d,ffe4bfae,f2baec53,ff428d8e,fa471d8,73ba000c,8d23b0d,6bf79d36,f57a7852,4aa8c52b,227fc42c,400b4fe9),
+S(ab384400,3f19fcfc,10055f6,290a0540,cf2242d0,ccab8a4c,40319440,54f0aebb,af368bca,e17e62a,ec0a5544,4d65ecd3,a497306a,eff4a439,92e7d1d8,ed5495ea),
+S(ed08f215,50f6510e,e8cb5e09,53ca47a3,9a140441,cd7dc8ac,2c319ca8,cd51c781,39e4c088,589c9851,b78aef9f,33678f7c,ed46d4a,658ccf49,b1c4de72,9fe3b64f),
+S(feba0c3d,930d3c71,d2edd2e8,e63e5f67,3f81ea4a,5f8890eb,3fdc6e6e,9c729830,a507a2a8,a0fd3d76,214f59d0,cab63525,54148970,7cd0ae2c,6488efac,7d494d99),
+S(f5da1419,be3e268d,b51dea4b,af8867f0,a02a29c9,599266e6,e0e37b,d569d8b,1ecd596,4748be32,44cfe953,6fa9ae30,104b1e6b,8ccd69f4,1e5891e2,242db1c8),
+S(eaae3a45,5aa38fed,381ed64f,b6353d0f,2236d267,97f5dc1a,4e7a511,1654be5b,24f1dedd,7f3d9cef,572e7819,b09be2a0,de1f2f4a,6b2314f7,57a81b18,cd1fdd08),
+S(a997a9f1,e9fb824d,768fa890,b91ec55f,c851127,5c16eb4a,99577fe4,87d155e5,9cf136a2,c3fd76f8,d4921bba,9d61917,b6ebbfa,f55a4cf5,69665d47,bce7a44c),
+S(f20287b,958ffe72,72d443cd,de9fa6f5,f9ab208f,a74c6147,10c44c33,3777f1,ce614f5f,87c3a366,65d7f574,5446d80a,35a8113,1fb4dd2a,aabed948,b9e09931),
+S(f9fb85f3,fc4e45a1,6b6eef55,cd8656db,de777390,f20b576,a28110da,e8ce5713,51de9f5a,7b2f0101,cd02e6c7,c98cdf93,a430d62a,1fec4f3e,95bdc3bf,a2212e13),
+S(d5fa0933,f13c1f4e,89caeba4,101f44c0,420da5c6,7bfe1ea9,66cf01a5,ef48b1d8,5efc8918,8b9eb65d,faa6e0e9,812407ef,35d8db,76f9e722,ff63bc3c,3afc3b1a),
+S(93899e6f,fc291a4b,e986f938,b8b378be,bf4c3d35,f9a1bdd3,ecea5f04,d8f4bada,a19a2983,55cb62fc,43334649,1c89f26d,fbb67bc3,872f7512,9229cb73,d126293e),
+S(8fe07488,b5b173c,d530d796,a18eac08,80164c2a,ed787b05,90ac8dce,3bb120d8,829abce1,43ea8009,e4f5f481,125ca6d4,ecff3f32,577cdbf1,c054a23e,67f18b0b),
+S(10c3b093,5461407c,369494a7,631eb4a2,365b122e,ce0a6b95,7c1bdbee,387394a4,f09d69ec,925c9a43,57648509,f7db85a9,22f609cd,32b400ce,3a80567,88a74627),
+S(cfe48dfc,f5566fbd,7562ed68,576a7911,baef64f0,dc63e158,1a29bf23,3e1a058e,440c6051,19f2a948,b4b6c3a2,7e711cea,c7983d7,f4a2db9,537536db,fdebab76)},
+{S(53d772b6,b18211f7,1478e9d3,3a0c061e,2d232358,44177867,af91508d,e014f22d,b2e85a07,8160d31c,3ca32d9c,ba025904,1bea0368,d9eb13de,8af8f505,73142ed8),
+S(b9d6067c,fc26ba4a,1f5bab8e,d5f28ffc,bb6bd6,b61990c4,1b091ec8,2cba973f,532d0ab,7731c02d,91cc7e51,71b625b3,af5a605,d92d02a5,fc4cee4f,afa09ebb),
+S(e8a93ceb,3db0a4a3,9a3b768c,700fb504,652161e0,4a1d4d92,df52cd4b,83e65e38,791b967f,22543fea,9ec38e5e,a14a94cc,9d11ea8a,73ca0c13,e022d53b,f8bf1148),
+S(ac6130f7,41e1601f,5a92bb75,90a799a8,3e8ad9c,c911ed7b,7dee1bcf,da14f332,97ea5d16,d5c7e368,c7b97c2d,7283cb03,f215f79c,d1d80276,6f9923e0,ce80ce44),
+S(ac34d4c1,1d2d4ade,2f044e88,6b57cd45,c1b23550,538059c4,e9855077,4132643c,7191e155,aeb3b578,6b55db41,652e8af2,bac1f933,d6f62723,808c6172,bf0eb0aa),
+S(a7c4bafb,f1988992,1ce15754,187d41b9,eb653dd,bc97cf05,ddf449d8,c9ff734c,ccf20733,da4aab6d,81db8d5a,d3f12d1d,9cbc943,8b92165c,e83c5afa,5ee108e3),
+S(c04ba857,e758fdb0,29c02712,1671fe33,9b7184b3,50ad952e,9d234681,43f7568d,9ce5d9ca,65f96b76,b4b06f57,f34de7e3,c64a1d21,f07fd6fd,eb7d47e7,bbf4e6c8),
+S(8230e7e7,81259e58,e9b74a49,340733dc,252bef7b,5b7dc82,a4e99f0b,2998ba67,9c71921,3b3254d1,f53b4f30,d0a8e665,186e272c,d0e5d316,a7451eb3,2ac8bb3f),
+S(720c2f5f,6465d38d,3916939f,8d095657,e547cc5f,849f4a41,30485b1,2d94b5c7,8635961f,5f74d176,e4ae0ec6,e4b3b394,6d5b1766,fcb902fd,9f9bd982,2ad4e4c4),
+S(263b45ca,b3547cf1,5eca4381,3d1c402e,5c209d3e,34a288cf,182aa4a3,f04304f,3516b1f3,524bbdcc,fddd94bc,fb86a43a,27a7a78a,fcbbefdd,6692fc21,87364438),
+S(4edb7d61,a45ebb51,1fb0c220,6f16fe60,5a202976,9007c3e7,11b94889,a983d0c8,b482fee3,fe824b1a,3251cd2c,3f38ab4f,adad1fee,d398be92,58d2c81d,79b0eb36),
+S(f44c286a,b8196e25,87c225f7,2091db05,e47f18b,5b9a0b9,79d2cd3b,15441767,b7aa2018,5925845e,661ad980,a6c215d5,fd7072cb,46010930,ae64089,4c8a0af8),
+S(593f9bdd,b246bd1e,19eeaafa,17e348e,5199decc,8e63ef68,ed8bff89,bdffad48,5201d11f,a4ac67db,dd66fbaf,5c2ba20f,8bb1a6b3,18cdfbac,6b257aa8,d30dd316),
+S(823b4c96,8be9e125,262d52d9,4aaff240,55def10d,6353a347,e4248de0,7889ecb2,adfafa7a,fb1c60e,e7fb3e2e,73c66063,5a9e97e0,4a38a120,b7a81f17,7d1a6c41),
+S(8daef78b,c46e0f5f,858fd74c,68be31bd,3b474d9,6bd74deb,eeba69af,5ef3056a,15db0684,bb6d4e7f,b135a4ab,f4b81d4a,a9fc7e93,c26e3616,b7b938da,25d44a06),
+S(2b7616ca,eb608427,5a14eb53,b67a2ee3,b831fb55,6f63e0b2,e01650f6,e6900a0d,915e7dbc,62f8e349,8ffdf22d,d3604d77,bb701137,b6c36543,84cce993,c4613ca4)}
+#endif
+#if ECMULT_GEN_PREC_BITS == 8
+{S(3a9ed373,6eed3eec,9aeb5ac0,21b54652,56817b1f,8de6cd0,fbcee548,ba044bb5,7bcc5928,bdc9c023,dfc663b8,9e4f6969,ab751798,8e600ec1,d242010c,45c7974a),
+S(e44d7675,c3cb2857,4e133c01,a74f4afc,5ce684f8,4a789711,603f7c4f,50abef58,25bcb62f,fe2e2ce2,196ad86c,a006e20,8c64d21b,b25320a3,b5574b9c,1e1bfb4b),
+S(6ada98a4,8118166f,e7082591,d6cda51e,914b60b1,49696270,3350249b,ee8d4770,c234dfad,f3847877,a0a7bcda,112dba85,1cdddf00,84d0c07,df1d1a,a3ec3aeb),
+S(a94ae8,63264dfb,b910ea95,4ce9ca7e,4f86f92d,9f3a95d1,ed61552a,7a3f5743,7f53f7f1,6ad2d08f,15e73314,6d80467,41557acf,19556c0f,ed7117ce,37040823),
+S(b692c750,d23d3674,c351e3b7,e1a8a87b,14a5df81,852eaf35,209d0ec5,6e22a2cf,b18c4f17,252db89f,838de32f,b3340ea2,bb961a39,54b38c47,f9a8219c,4820a0cb),
+S(691fc741,80e75b55,47b375f1,1bf60abe,451d27de,1743a436,5f8e4bac,ad421c09,8eb5fd9d,f3c03240,6cebf370,8125955f,bf2ef703,475d3fd6,1a0291b6,69b52d9d),
+S(703b5f14,a7d82473,1196b52f,ae9ca8cb,b245b004,7a9928d7,d0c42f33,391411dc,5ed74eaa,49f276c0,4d61f31b,6da4137c,bde5673d,8e3f815d,efea7951,f88585c),
+S(29b8ec47,d241eda1,e51bbb1e,3928444c,3747b4fe,7cecb365,2bbc4587,2f504875,88693238,8562f8bf,f7d72324,62ebc54,6b93a95f,77936b02,eb1cd6a7,d4199bcb),
+S(444a07ad,e81916c9,32bdeec2,21c556c4,6b7f6491,e99b479,2cfec82f,4ec17910,2e084c2f,eead5200,77c151b6,eff9375a,713b9d15,5306708d,b3f538e1,8eb18cf),
+S(e0dd618b,226ceddc,f560527e,20b4fe58,e5fcf28,39911ea6,c3e8a4a7,e15f9121,a063a157,3377bbbf,1b9a5ebe,afbe11aa,660c1e65,df1392b8,97205858,3c86a3fc),
+S(9b99461a,2e8360f2,f2ba0bb8,bcaeb699,159e0652,69d9042a,fa0c4e30,a7b6f30d,3fe7fe04,3cb45303,3d4f5560,7d41cd76,9036a49b,82912350,6d8b9995,254154fd),
+S(504da3a9,d9d9c81b,c2065398,4ed28cb1,b5beec9b,6ce5dfb6,cea94e54,fdff044b,cbd40d1e,858133c9,cd20b9e4,ff9fe94,f7cc9579,39e6df49,7a6bd702,797f96cf),
+S(ddec0aac,1ebce6aa,ad6300d5,60f0e503,829f0bc6,479641f9,b19d9f6,484376fb,332ff5b1,fc83085e,736736bf,3c265e4c,8f80925e,6f38479d,6563bc34,e5faea1),
+S(dc530ceb,b82c246e,41c522f1,d2571d31,4b14edf3,91577a2b,64e42172,b23562c1,563ddd93,857d6529,8b81de24,19e5cede,7a4c5b7,a2fe98f6,9efb8906,6f32a98a),
+S(7604d60f,418dd132,78058942,fb2d2153,c0a2bfeb,e83c5011,a451bcb1,58db0773,38be14ae,d9e1c404,63ef92bd,d62c599a,b37625a8,182a3763,4fa2de90,535d50a9),
+S(cb896744,77b20829,f5e2bd42,8852c70b,91cbd0af,cadf219,a69727b4,cbec8d7a,5710d17a,20ea0dff,980d3f06,38d8b910,b8940d00,dd4a323f,d777d942,213e1093),
+S(501915b1,391e083d,e88c795f,8464c846,f699a79e,edb1b963,3e29f71a,9ce4d022,9e1dcc94,17ceb0e,15762f8f,7d0db85f,3bce3ad6,fecbe2c3,567853ef,ccd6d0f9),
+S(a63c0b8a,4eb2cb10,1e556904,a7246356,9909055,f45aa4c0,e89c2237,cbffafca,9650b428,12374811,738f4ac3,a2ac0505,396339be,4eeeda8b,c35e6fdd,c51a1e56),
+S(a16760e5,c3643d19,da15c034,5feced27,488ccafa,ad5298fa,6ee1070d,a258a761,736a7c7e,69db053,6f541079,158d671d,598efb1c,d75ec804,c7b2b49b,1ad7638a),
+S(840693fe,73b96819,bb1b24a9,35d5dc83,f361273c,d0989e76,1edc35ef,50faf90b,4294e19b,49558667,bc6237c6,86c30aba,a2660580,563d465a,fde9875d,74c9a57f),
+S(97273c3e,26e12369,1d0ade3,3aa261cd,a45b2d2c,d749af71,a60c0d15,85e18e03,2700c565,dbb08439,fb74317e,60776fca,d0efc1a5,5d0ad87c,18f82f2d,a97caf19),
+S(978d68a0,5ce30528,e4db2dae,99f6a245,f69cbd04,3c7171ce,ce2bee57,60e68b9,ffef379c,1515b068,df562f3f,bdadacfb,8aabe5aa,466105d1,97a8febc,1596915b),
+S(dfaea7bc,c78d275d,9f6a74fd,21fdec14,bcabfa45,e44070c1,9c44d449,c5d52231,927b810b,c2994b8d,2ed5124d,98e2f5cc,58410607,82b1ed80,d0fae288,8c42d538),
+S(ca0b766b,8b8d76fd,ce471a88,18e043d2,604d1ad2,b689cbce,70ceae78,fddf5a27,ddf9e3bc,935ea0bc,22f977ab,98a92414,643140ae,be0448a3,35d6d44a,1bedfc48),
+S(11dcc001,3be8d4b7,85e87153,e060d13,57cabb5,34a2c1de,2a4a70cb,9803a031,5b5d46b0,6a96c30c,b1901c12,eaa1c656,3a2f35b1,e9026954,36e087aa,3deb777e),
+S(a828121a,18d23262,bce26648,ab44c45d,c5027ae3,f74786b9,598f22b3,c408bf08,37893209,80d7d2de,6074778b,2e8916f0,4043a616,982a9b61,d4089623,31375cab),
+S(291ec5eb,e010daff,3ac00825,3452b065,d9f7fcb3,66e125af,22f11358,6263fbaf,4647cba2,45d190d8,2337f217,c278c98c,370120b3,d4e04110,e6df2c54,92d63bb7),
+S(44735d48,4c584d70,6afc573e,8ece7670,c79c7b99,99eb0141,4a73905d,34a1cf01,30a27c9f,67b47348,583f1e84,5e7af221,438d4c9f,a1e0cc19,7312ec6b,908d613b),
+S(fce8958f,507d5d59,bf0fb944,7be40c23,db2741e6,f89351a7,f29fc642,a60c7d4a,69de744b,9d2ef778,a7280325,bc699cb8,29874d33,bacc1fe7,6264eff,600c815b),
+S(171a3251,bc6e72cd,630f8130,d4695e48,e0e649c6,82bdd5b1,b87c7b7c,968cf664,3492ac7,faf2ab56,cfdd5278,9831ea1d,e90ddaa6,b4d6e6e6,fa960bab,2b55a55c),
+S(adc566cc,6c9afbe1,41a011fe,e121f0b9,a5dded68,fa9cdf63,45a00fdd,d38d69b3,38db9e85,26ab355b,5ed12b5e,84e795e7,7e2d2c57,24cec516,9cca1946,1d8d9c04),
+S(9694e1df,8067defc,de9dd34b,4a4bc91b,653ede57,3139b9f9,4df55858,74f04,f002d8b4,3940cd6b,7cba586e,18f1616e,db907010,230445d1,a96b9eee,b43778fa),
+S(8a90adbb,a8c32e,a9149e02,57bd9d24,7da8b0f6,5cd6332c,5803f83e,26a1bdc5,f7f24ef2,aae5a954,db200e45,ae75bdfd,5f4ec6d7,b203459a,7360a9b1,5ae2a9d7),
+S(234b3911,f965ef93,5ab16aa2,392d2198,f5df9022,962ceae3,5e73f05e,d7d8f817,a66aa264,a24e1a5c,e9bd5ce6,164cde8,4083c7b9,c354ebbc,caac78c3,f5da2aad),
+S(7d22623c,84ed234,5194c248,eb984ad1,28d2d4b,638b687f,730a3693,10f1c4ed,f97e515b,618719be,ea3603ad,7c40e827,59bff425,a8633365,c28c755e,b06769c1),
+S(e210b4e3,cf3a2e24,951b0623,a83a8793,11cb942,8d679cbb,16a15718,2e6655eb,f4bfb50,43768438,592e7b75,41bee9c5,f263dc15,59be620,c0dc128b,d5e29339),
+S(878c0097,ddb0f977,d75d579e,ca8d0bf1,a887fe50,e33b0c8b,bbaf2874,8875b321,a3401763,39f99298,9335879c,dd43a46e,d21d1387,55be87c9,2f486629,49918020),
+S(9a6dee6,4c79975d,2adcccf2,8cbd8bcd,c8bbff9b,2811039d,5a6fc051,9a212503,9c0f3d81,5d56afc8,31de81f2,750cb54,9fd5fc63,b63e2c66,ae88dffa,cd072236),
+S(3fa53681,f50925b2,710b66ca,1efa5e8f,b819c5e4,206a591f,d1492a1e,d13279f5,82a5c753,367d57d4,fdad7e9e,8b7ba625,7c50c07,10f93c8,5cb180e1,a459698a),
+S(7ce51172,8f94ef7,7924a1fb,fa8b7d1d,411d0e21,65c4a1ec,e105d4a0,909081cb,dbd596d1,bda2f32e,12cdc910,2762f3cd,627cf29b,1b145ca9,dd2037f1,7daa6a86),
+S(afbee9e6,d5b0bd25,1dd70bc9,e3b3a013,40116e09,905bb29b,797ba66c,16db5135,8a315473,84275d82,3c5296ed,b56ef5d9,7af96617,dc2e507,c009be9c,f3d3da4),
+S(14d13a78,96bd0978,d4a4d4d5,2266afd2,e0f21ea,5c1a693a,9ed4990,81e43974,dc84f2d1,86d91fca,62ef088d,1794715c,c8dcd9fe,efb4aa5c,46800240,886c41dc),
+S(7bc1045c,4960054a,fc979961,5cd7faee,5dec92bb,98b4c3d0,9620a488,fd32c35a,b8f420ec,cb5dd9ae,3f075e28,811ec9ca,bd770836,ad40371,66073db5,c1166735),
+S(fa24d112,4cf21fd1,bfb06c10,9fa49f10,c3ab248e,3d08f620,4529612b,f7a5328e,c0745547,b64a0068,25ae8f90,82f8565f,ed94865a,d185a364,602e6468,277b3cb9),
+S(8758ade8,745d4d18,c8f7ad6a,32fa05e1,c7a08bcf,c7cad42f,7aef474b,de02cff3,7864edbd,2efcbdc3,946dd250,6fdc2ea5,2f1626e0,b7300f8,9ef16420,12ae4853),
+S(d2783741,6944bdaa,d212dbd9,40cdc7fc,2847fe5c,a6eabd45,dd6daa9b,9e122693,c7139931,989b4f6d,3acf854d,5aec897,52c69105,2c6d2586,27ef13b7,66e91875),
+S(624120d8,420a5afb,64673e4e,b272f7a9,3b7f1f7b,59f4b145,10115691,70a597a2,3e055b16,ce482c12,88bcb9f7,40128b71,e5a441b,4c45056c,dca1466c,6491cad2),
+S(96a21be9,a6e8b94c,7ebd4782,809830ac,f2a373fc,6781405f,a320025a,e7bcb4de,772ce6fb,711c2898,dc8446,aaa8cc7b,41608392,6212908b,705ca412,1e2c5e1b),
+S(a9e2a4b6,4032f43,46ee1148,46ba487d,9a82f80d,3408b8ea,8434c521,33135ce8,c8537b6e,51846fc3,18898604,192d86a6,36ba3c36,f7ec9aa9,6185e7be,f160b5d3),
+S(b43b42e9,381358ce,b8a595c4,77a9caf4,afc6e0db,1f58af55,6dc5bbdf,2cb4449a,556e4e70,cf7d1a16,9249e954,b749619c,dd87aa7c,723176b1,7361966d,2d2b6fa),
+S(224cd0fc,393fb763,bfbc3c44,b829f61a,22ae6b98,22622367,2d0890c3,eb9ce9e5,97273eeb,eb71bdb6,5ac5c677,807a533a,f190cd12,e01ccb9a,d617af76,c3bef1ae),
+S(6c997b99,b7349b8b,6f399b78,34bcf510,56f070d4,b501f8a3,28ef3a39,7f6019ea,370796ed,ee708852,6ae9ba78,2aac403e,5b57dd21,cc77d0e,1674d6f4,e4ec60e),
+S(9c8970cd,125f1c6,1b845a19,a153ef53,594bc62a,3121d43c,e9890888,9c5a7adf,2157717c,55747f64,b8b51feb,9a6c8483,6dc4de7f,40908ff4,4e37d7e9,ef1354b3),
+S(eaf2ac12,6894bce4,8862c0de,165c03d6,4c561cb9,d338cb84,17d8811d,55af309d,f9e8f0f3,eeedcb85,67232a8e,cdbcbbfa,1a3b1a67,7a67c129,f07e091d,bb82ca78),
+S(8b69c681,7de28f6d,c539687d,28dd6a0,7cf16302,f0cc0f41,a340f6b,2a5669a5,576e108d,b9ae716c,91859b28,25de886,2de16591,eac5cf3d,5a802785,4551f778),
+S(aec8ab4d,f8c21840,c3d449f1,cf1100ff,baa91729,a35efbd2,53ad4ca,92af4d19,2350038d,bed217b6,353c31dd,bee52f96,e1706e8b,45350e96,6c55a522,b536ab3d),
+S(32b75afb,9fc485f1,744c18ce,8987deb9,51cfd485,26aa491,3dcff45,6b5e394e,c5edbb3e,4b95fb5f,55d24017,86fe65e7,9b8c20f,4e927e2a,caeb2b0a,1aa34ae),
+S(a2eba275,e957dcf1,a493b7c8,6ab340d4,647b6951,f8919dd6,ee0274db,a2178016,b89cabbc,ead15406,f57f0763,9cc5e036,45ddc32f,1283c556,ddf94eb8,e0e9cecd),
+S(6af5da12,7be295c7,9485e35a,e0a6df36,302bfac3,a20a4325,13e81233,142d4ef9,c7df8582,7682d324,5f7a8d0f,9d17d460,53227aec,28c1de97,23afcf52,96bb8c7b),
+S(1c06f8d6,6cebe13e,7cf9ab04,12cbb75a,741a2240,6b89170b,8e11c92b,84d5c9af,cb3b69a2,7a55b2f9,ba3f9ccb,67c50502,c024e8e6,556e7c42,9cea3f58,ad5028a0),
+S(a9e3488f,c2dc8af0,a913227e,9ceb31a5,171fcbb9,752d8e82,1249a152,57b655ec,e07fb0fb,d8c6320b,d64645c8,e6785457,652e186d,951e0f92,f91a7ec,171bc993),
+S(9d93b099,9bfd6ee3,2919d4d1,88896b80,46f07249,f913d92e,e1c27cf0,40d47277,bac5a0b9,cc9ff8d9,b6274be2,15c49e3a,67131b92,53f7e30f,44d401d7,97f47b30),
+S(dd25451c,57c2ab68,542392ca,91e58a50,dd578648,36096c20,bfa8783c,1c359a8,5fcb8e40,32265bec,f5eb02a2,f07980d8,b56fb0fc,de51f140,a1ccf391,b8928602),
+S(ca0ffd05,530a0671,fe49d0a2,4a0a0eb5,b19397cd,e8f881eb,542f7919,e793b260,638db61a,bbc020ce,ae9359d,3876f8bf,5ec75498,7f623d89,c3da60e8,f84b6960),
+S(117ea7b5,1440731f,403d8485,a300d59e,a571deb2,44dc5bca,20352513,b5d0f691,7e72f426,20ac70e6,2ddd8ee8,edbdaa41,e9e7f46e,c8143f29,95c77289,298ca3f4),
+S(c1791bcf,7d2d5477,24c30d4c,d5e8529c,2f03d7a9,711395cf,ddc5ee69,d0745064,30ba86d2,abed8606,1e9d2012,a0079813,26b232eb,34356b08,1afe7de9,3c79eb1),
+S(2faa17b5,81123ed2,af8a2393,6b941de2,1cd3d276,4ca47347,5b27703a,f9b4b401,4fab0769,85484ad2,d2352ae2,9a74e90f,7d5d9514,c333443d,8ed54283,c7634ce6),
+S(4bc4063e,68d9fed8,185ee402,8b4e1bf6,87c6c73c,c21f6131,799edc8e,83884ccf,3af276b4,24dc5208,7dca3be6,a5e0a133,2c427516,7cddfe4c,ec0710f9,41c62ecd),
+S(e0c4a4f9,5fa0f060,b986214,68eb0131,1162accb,ec452a6,2756d36d,8aea45d6,88a49bb7,a66866db,e6905ce6,c15cae3f,2f98de34,7bbdbfda,ab2cd99,fc06297d),
+S(6892a64a,e22fa15b,c0e540b2,b75d307d,ccb20675,10ed3d59,702312dc,27882d02,ffda7d9,bac7a8b2,4f83c1b2,11dbc454,8eca5023,30829ea,f5b47a9c,befb451a),
+S(def9f462,12aa6e8,3d4578a6,9bece7a0,9e91ec9,28eba3f1,54afac97,d2418785,fba8f869,fbb39c64,8613ce1c,1c36d86d,f326f334,6de2200c,93c8e1f7,bace82e9),
+S(32e37792,4336c65f,b112af1a,6978b5de,bc2e2f0a,f6f0b4cd,b6cad6f5,e0d4c177,d3cd48a0,61f45605,e2cfbbe6,9b636cf8,3c8afe36,6e7c8a72,b2cc1b47,a58abd1b),
+S(1fd685df,86bfb84e,8bb90216,1a6a0e14,e111667c,aeea586,7f45b6cd,3f411527,be7d8cb4,c3723bfc,f2219442,9e164abd,65258c57,68509e1,a72e3ea5,b13ca966),
+S(bc7775ab,a334a06c,c284be77,8e9a8b88,358f3ebd,7fa2a370,2f7700f1,53c93e94,dff3ec2c,84f8c35b,fc869ad,76139913,c25b379,8ddb1e69,4802ac27,602f4a6a),
+S(2a3f2aab,10c9e9fb,cecb54c2,c411bd70,38334230,f2286b62,c06db5c2,6b74a6d0,42497e29,37395239,c102a1da,a08580ac,54fb89fa,7f2d2974,8b4f2081,bf15fcef),
+S(d5c9be7b,985d769,3d5e7b96,3778daab,49944cf9,8ba2a522,b33d32de,1a7ca3a7,3122fb41,440c3f67,478e116c,1db5b65,2c8d137b,65cb712f,9d235e0e,686ea04),
+S(aa772a33,12f19258,b1165378,1376caf9,16c73e3,8b842fa6,3237bf82,63ca771d,95df79b1,ca3951fa,3df74e4e,90db4a4d,b36fd7ee,1758e7c9,9e853faf,959e071e),
+S(1faa7b4b,610b3060,166011fb,6eac0337,a8cb6dfa,9e90a8bd,6a84341e,11577791,716cedd4,ce760e78,a2e664ce,baf834ff,725b4296,3e23004a,ef309b5a,662cc36),
+S(50a6be45,e41dcf82,659d0690,9aea539c,10fca3da,73a00372,fe9b2db5,46d7fb8a,ffafe7bc,adb82924,6ba72ddb,776b39b6,4a77627c,d36ac0b2,cc73e5ad,84740acd),
+S(e27561a,6a206e59,2a8c7747,29d2968b,294378e9,9014f9d1,26eff921,133a1e2b,bc80b28d,573f7502,56da86d3,4118e699,75c671b1,e38b1d9d,1859fb83,681d9931),
+S(cd5de182,85de5152,312ddef2,10d36849,a0a638fc,4215e232,13427899,268762f1,f0a0a3ba,b9149edb,c5d6586b,b50471d1,a7db3ec3,cc94ea9c,f9240683,d4ec2c44),
+S(9f51022d,30e18985,ae67301b,5db7a3d6,2165335d,e3be70c6,e4f703be,d531199c,43c934d5,39144f1d,43401b71,605b08df,1bcb8bf1,ba3ee1e3,5c591a46,12328552),
+S(b014734b,7b204960,adbf1329,129cb3dd,5d9b84a3,6367e643,76df433b,bafc9d2d,56dd6c55,46cef764,574944b2,c9cca7af,7ccb438b,2ffb31c5,7faff8bf,fc21eb09),
+S(43f9f9db,bee57d22,e77b51dd,8aae4b30,3849d709,d06353be,8454db01,89b4a34e,f8962178,ae383491,28950190,1a290ed,23ca986a,dd0ea6fd,861f0162,d8032d4c),
+S(1ce55c7e,10453890,c9b9171a,bc0d13c6,2ff6b802,1da6c47d,389d0558,c643a8b8,3363feef,920ea3e,b4cdffee,582e91f,7a02bf41,d11afcde,236369c4,4ba76ec9),
+S(b45890e8,1ec53e8b,fa7373c9,c0160e69,1d739b3d,538d70be,2c2aea62,b6f2a4ba,70901d9,5e139291,691e17fe,f0d48797,60ec6f61,245f2657,6b9ef283,f81973ec),
+S(d8f16bad,a3430da7,9bc7beca,660154b0,28d44348,b73731d8,b2f23229,6188bfe,f7baf0b8,80b60a8f,575b10d1,988aab0b,c29cc9dc,66494727,9c728967,ea24f26e),
+S(e74323af,218329de,4aad97b6,c57db6e9,3dfa53ac,784224e2,6b087813,6a74ec3e,42a427c5,e1c72445,881fb359,265f4507,13e933ae,f3b8b10f,b60593b1,c5440236),
+S(f5dbabba,6a55736f,b0e2eb38,973882e,ddbcda9b,651a10a,abf0110c,29b6f4f6,74846161,4bd5a349,caad7c3c,46c534e5,3b7e5440,7e3e31c,1247f0ee,4cd181f1),
+S(e2d744ce,d24b72c7,c65aac97,b0fece86,77cd7edb,5b2029c6,41a0acf2,8cf72009,1895df09,8d9fab64,b86a701b,efc9c69,ca083ca9,e962c270,bd7af27f,a46d6e75),
+S(e4181c43,1c9c9f53,362ecfa6,685d7d28,4b0f09f0,6472a5ef,6f3f77fe,6d24e4e7,d2eb8214,6dc4bf71,dc30e935,c5621b1f,c09819a4,8e572a44,1ea8981d,191f7030),
+S(ac36676d,10365635,72c8205e,af547ee7,3e15524b,ab15b489,a0c68f7f,854fcedb,71038dd1,91a1992,e0864fe8,3820eafd,693f05d8,b32df573,817cb314,a24623b9),
+S(aad2148d,fd0dd61f,81456435,22d5cdc6,8beeadee,6f60c22a,f23f7183,83f96d88,d7115c62,3d8455f7,955d0772,3f083a7c,341f5bee,64aade0b,426e781,f683b7fd),
+S(7e8bd881,b50374f4,10aa55f0,e45991de,737cde63,f03e8077,e29bfd8,55f3316c,244997ad,ebd2ec32,71d9604e,6f9b0bd9,fe330105,acf71224,b203cf83,26b3b1ec),
+S(a68beaaf,899a89d3,4c18576d,d9041b36,a1fc14bd,bb8c1588,809494cf,e87ae7f,3ffa0192,3233f77d,f47d8bde,3fd04fc7,f57c2af3,52508343,3f7e810f,4b6330a3),
+S(fa9317a6,7e2a74ba,d53ae152,6e3a8a4,d7e8a59c,a1aba4cd,ba46fb23,a1870f05,b9a22792,af785e1c,6b1fd9a3,626ba75e,28583f09,fbd0d3a6,bc9a64dd,23bce82c),
+S(2f820b30,6175e982,b1951cef,551a61a4,f9595dcb,35b5f647,fe8dede3,f68e5226,d4f915ed,4f8b3bd,f7e8e0a0,ddd97719,d3e22ff0,8c24c9df,c665d0d9,c4b2e4bd),
+S(eaec7330,271b9056,6e98cb0,717741f2,7957ec24,c51f22c7,c25c2cf3,db09cf24,6d6e0108,e103be2e,3f4c8ac1,4a216e40,d8a993d5,5b0e9b89,2219dce6,3e47ae47),
+S(2cbcf67c,6e1dd8ea,888c2898,8f636842,ff4b855c,9fb539c9,f3a9a4c,8885c88e,4031a26,c3b13bb6,d0027967,2e1a6e1e,af5d957,e841dfc2,c396c8d0,4e816cb9),
+S(9103dd8d,6265d5c6,7f50eb7f,2227977e,53a48e39,a86083ff,965f5d3d,2032a29c,6a1bc02,14930959,ebb9f967,2f9f693a,ff3cc3d8,df65af26,21cba530,425fcb1e),
+S(b47cba2,cf3adf57,e6cde1b8,9edb3303,d7c138e1,b59ce4b5,a57a517,aa497285,8d173f6e,af4c0363,7486df13,3fc64826,5aa32348,24f64842,5e36e2ad,226cdc0b),
+S(6d59d90,23507028,6f36a203,702fc9c9,c9936b68,b08e5025,9584e385,1410ca5e,ca676e85,cc25987a,4c8e582e,ff1d49f0,5736517f,39e2855a,20cc77f,c40a0860),
+S(748fc197,201aae7e,80e01c30,ce77c315,2469403f,a3b85be0,bece627e,93f657a7,6cd7f6ee,73015cc1,28562867,44b1f7dd,33293c72,a54f3e2a,2edd7bc2,6d2aa384),
+S(ba8b964e,aa862c8a,9075dbdc,a69d2b90,aeaccf05,27c562c6,f310b3b,adb6486e,6531492a,64203962,4f3ee722,1bfbfd54,c66ec11d,93a66775,c305bc6d,c9a9bda1),
+S(7b3a1c20,dd36acca,83f548e0,16907006,4dee8579,1342818c,f1185e89,5f6728f4,1829aa73,168eeec0,897358cc,3c4b8d04,da2b8ed8,1654c1b6,816452a0,943feb0),
+S(8e39a814,1cb73d12,a18180c2,50a5c574,4cd0f4ef,42500d3d,a0892da3,bf5d24e3,2496a20b,5e5e3dca,30581c10,cc099093,5ee51283,79b6672e,ffc171c7,3f4fe34f),
+S(89bc0ad5,d0b615e6,1510abfa,6ee0856c,d3fb9b33,d53738e1,827f041b,c86547f6,d5bcabf9,f555af1a,2f365910,1af8b19f,a12089e3,21dc2053,8611c3a1,e6f6a904),
+S(2350902d,df8c0944,da5ba2a6,c5a9f16a,eb735474,6fbaeba8,4fd5a58d,c2571ab,dd1bf357,ab9ac929,eba9b93b,3f311ddf,2f10aad3,18871982,2ef665f0,36ad3fe7),
+S(e53f6624,70227a12,a01f237f,9ac59afc,685276e,440450b4,b8d91e1b,9159a61,a95ee3d,430328e,116128be,c17a74bd,a87b6fe1,3e0adad5,7834ad89,ed597404),
+S(dbdc2b2,ecbf18e,58e352cb,aaded3,7324e063,557425f4,a8fb2a50,637f0af2,e5a80b8b,4cb5a7a,af1175b,fd62dbc,ff044f9f,4f03fb89,b768c6d3,72729996),
+S(7fa717e6,e78c1641,82b2e,78c2fef9,bda57060,3d0df678,c4716b0a,55f7ca60,59bcdf92,4c9b981e,ad7b30ae,937ef1b7,63b12c69,9fe20e6b,a7c3002a,edf82d34),
+S(330a50d2,1a87984c,e657be73,d2570875,75e261ec,ed17d9c8,7150d1e2,6afcaa0f,253f486d,642fcc6e,5d53b79b,8a24bf25,131a1b2a,25b931a4,fb2e6019,34c7df92),
+S(762b5213,78d46c16,70251e93,2737c75f,f28e0500,eedd6ae0,62919874,660e865b,efaee12f,3b411bde,7e6e8bf6,3d875a89,68164f6a,ddf102fc,869613f1,e8bbc095),
+S(717d699d,f3a985c,8a8a8562,cced0432,4b616e41,e4bd8ebc,43bc1b44,2e2f7b35,cba0f7e4,f4d544e7,6127892f,a5ef8bca,13241760,5be8e7ad,4fdabf66,e8fbe571),
+S(124de3d8,54e69390,b6908c5f,c770f602,8439082b,9f9e5e5f,cbf5f822,2193611b,c9b9d896,bb1b5cab,58c10bd9,b6519ed4,a1d3be2a,39ebc4ec,781bd673,351ef376),
+S(fcbf142a,a6d9930,33fd9a17,2c7f46b9,63237738,9b76572,2975407,ea8b2440,4366db31,a5acd6e0,a8bb3481,9a654233,e6babe82,bbcb5967,cabca638,e9a19987),
+S(82858b62,5d2bbcc1,372e3c38,256b9b1,cf018f3b,3e9d0b70,c17d1ac0,fbf75ca9,e6543ada,7d9a8928,e3a1f6d,b8c15649,379fae57,f99dd8cc,3b096579,8e785840),
+S(577b38d2,ffb278de,62ac0df5,ccb6f2c4,e8f40e5d,c5549a7a,4881831e,bfb6b71d,171651e4,7f9eee1c,60ce5d95,9e77b98f,ce651c3,c661d8db,4798372,8ba1c03c),
+S(28a83552,9aed0508,34510350,14bef19b,c1f20936,3fbb447,6cf72fb4,26267c45,cf949cce,8b331182,670f5300,29e3df92,57a576f0,e5923a0c,146aecdc,2db60446),
+S(621d99c7,abe3982d,889d3b11,6c992a6e,f035ba8d,aeddd4ac,d5d7b04,bbeac79f,2a6b0dc8,a6ede522,b86ecbbd,b057192d,84294e8c,385cdaf7,cc5777d3,607ca69a),
+S(8c6395c0,3ecfbba6,82926be8,b6e8d4d6,cf204d50,9f805453,ee40a010,1fab3959,d22e5810,5fde2b81,b82859ca,97a05e7,4c278cfa,b4fac1e4,50e70928,d73b67e2),
+S(80ecc87f,b9d4bc15,8e365e31,4518beda,7087f9e,c8086e47,91314d1a,9b37398f,6bfef3c7,8d2e91f0,67075036,385ed8a8,f3a84102,1e44df55,397290ec,68e44812),
+S(22cb24d4,e1354314,b1f9bd,c7e37963,3ee08264,ea7fe2fb,2b23ebf9,a35c1438,6e88715d,9d5fe90a,d0940724,b597a55f,386bebee,5eaf32c7,6e95b2c4,d407c808),
+S(285cc203,a4eb1e79,1695f8dd,d34a048d,58350aec,4fdc8157,fc1a8427,76b56e19,59cae7e4,435a37d,bd3c3f91,279c7bd6,1cc466d,b1831a53,94f7aadd,4e1e108a),
+S(61275052,386f258d,28af0420,d010fa87,c55281bf,59b68b71,698eee9c,824913cb,8532eca9,645479d,9ef72ec3,6d96eb11,418f9619,b0fa95c2,c4c81c86,75a81e76),
+S(84d391e4,d946c2f2,b40b5b5e,b6a57463,1adfd4d4,9e034ba1,3a2c862e,68b36c64,f3384ad6,cb7ccfaa,567a2cc8,73c9e509,b4c2de1e,95f7ad30,26be00c1,83ca7419),
+S(34e2a77e,cce22a6e,849e1b21,4a6cc570,10e3a0ed,73799e14,51616724,410d854f,cfdd8819,f0af720a,a372b923,fa81eaee,c427f3b2,a29acd3b,ce6710c7,c186d039),
+S(bc45065a,b558b2c6,a28b0cf3,8bd26384,f82dbb36,e2029774,561883ed,e6600bf6,22c5a0b8,3dc2bc02,93d7019,b4623b10,aea9d36a,22b04882,954e3daf,e1885b73),
+S(4b92a803,94dd5669,c0fa2d3a,c4d1e7ee,8e2954a1,719d37b4,4b02e342,9d183ea8,9218836c,698a5fdb,f95e0e58,8b64ad3e,e3aaef7c,613b47e3,f1464443,a48e3396),
+S(acbf0ef8,453addbb,9a4b04dc,3acf662a,d069d5eb,530d7a03,2e6a8708,be241f89,d46405fb,3c8862d0,4e7cc53c,51beead0,dffb3045,a6349fef,6fbbcb9e,cb414036),
+S(adbaa36a,4fb531ce,eb084fc,e65f3397,22188967,a947acb5,9f7ea73,52aae5d9,719265f,7e9bf7aa,2d789d96,282e527b,819a252b,7de8915,f44077af,8cc1a8e1),
+S(3f5a74c5,98b258ac,b1cb3ace,e55a7a26,78f4613e,b85d784e,1b3c8abd,978619c3,ba16385,ce0487ea,67932ed6,23aaee87,2debdc7a,2bd02ea4,6a681ebf,72ef5df3),
+S(6a231807,3d2c0fe0,c89245f6,5dac4052,ce931129,85b83555,c4cdf8a4,f1574135,fe44cf76,f44f3d27,bcb7839f,588fe09e,c6a5aa95,d6ae52b5,8059c7a2,c6afaf71),
+S(35555f0f,4fb2677e,dd12f235,2821ef3a,331c78df,3259128f,dcf62f69,85892dd0,101d97af,b1ff1197,3c8336df,bfbc346e,5c5e06e8,f11bd602,aa93f412,2f66c388),
+S(d45797ba,61a836d5,13834d,abd3090c,bd139f05,dd67be2d,cd99ea7,66565756,61b0aa,ec1bba4f,6040382f,cb049126,f7e6ba72,9cc4dbe1,f511b792,32204a65),
+S(c06dc164,8c07d57b,fa6cb488,1d9c96ea,26cccb68,d40d169,1890ec68,d42d584c,fd4ee4f9,16739643,66ead6cf,fcf31729,bae2263e,c57c14f1,29fc61da,cce93dbd),
+S(6826672c,ebb04679,a68958ee,3f64dc3c,69248f3,cfe0f8a8,28b164ab,417a508d,ce38e638,f19b1a66,b5647be4,3ec24f0c,562a8dfa,1b278117,87f9292b,8cba215f),
+S(a2d998dd,a82576d1,6933b580,40dcec80,1f12ef10,34ad73d2,de3ee13,7d632abc,e168ae1b,7f288808,efdba59e,cea51299,d65a2c92,76ee7190,3f253384,30ff297),
+S(2a9361bf,67b9e8c5,6e8d7b99,ad8b63e9,e10dd96c,1ee1eb35,40244415,270d9ad6,62bd2398,8d35c3a4,dfa31c56,57d099af,e9accd49,cfda6689,a997c862,5e05424c),
+S(88ffd75b,7c3e1311,79f885e8,9060a662,460499a5,b2a457cc,47443183,a3015e34,a5a174cb,7b9b9c68,3cfac8cd,4325e0af,90f61241,28a83e23,ce1344c2,532e3a98),
+S(2b9baa0c,d7f27a8b,4ada59a2,cd23c80d,94e8ef7e,3bb77d5b,a45b0547,c70abbd5,657251c8,2d564df8,a9fbc5f9,74c7d388,22089c1d,c338805a,33258c8b,db692bbe),
+S(1fe51134,d37136d8,f473c5e8,7d316a8a,f0c63155,815e3b6,489f7dd1,91b229fa,f0df503,ee85d7e,b3c03545,dc491cf5,39ef8a3b,68e816c,bf94d126,adfbb343),
+S(1a3211b9,9d946e96,bf190bc3,3fa2fcd1,f8cc0646,45599f81,dc7f33d4,3623c41c,ca6892b8,f8452e2f,5a78a463,fb325dcb,913cb17d,1a43ca78,bf2729f9,27a99ca2),
+S(a6d7f275,c3600aaa,ae16a1e5,164084a9,6f8313c9,a71961f0,3b6e1a28,e0326e90,528756c8,ae9f109c,3a803d2f,d78dd27a,a66639f2,6b1e2fb,82a683f2,9e2d7993),
+S(4acb6c7e,745afc4c,8258f92e,3a706049,a8c4cd51,6462b230,1a824114,e25c4352,3894a647,436c904c,6ef52e8b,6df86e61,4300894c,e0e7f87f,529e96e8,6f20796f),
+S(245fd53c,7b9b6698,89ba6bbb,2b6d5603,c423d4c5,76c68a6,9289c1d8,54bbba73,e6a65161,8e8fe90b,36705e0e,82c1728f,49277a2b,6feedd45,d431f349,c759682d),
+S(58e89f91,3383bead,5ba5ad57,bcb85f1a,44ef0f2a,4cec383a,7bc4fd92,9d78fae3,56edff42,42716182,9ad3b3c6,339299f2,1b56085d,a051e990,3ed02323,d9ff64b7),
+S(e2f35afe,b9e38b16,a29a8452,a17abf93,36a82282,9fd2a726,efc2160e,10e7999e,3a19d922,d2d2b57d,927ae73f,80c7e1e9,40679fd3,fe34b4be,c4c2deea,13d94979),
+S(558be465,de2edf0a,d5b7294a,69703376,7a96a366,e7f789af,3b93743f,372f5e1a,9dfd35c1,d1670bf2,e8696fac,9405330,62a90b4d,b4891986,9c8f98f3,6c586880),
+S(b49f1db4,206a93ab,9ae73164,6f5364f,7b261d88,3d025764,b2bcbb90,6fecef01,7c81be22,2a77c149,14e48d26,bc81bc9c,2e10886f,2dec7f4c,1e7c42cf,d87c5f12),
+S(6cebe305,dbf61912,36e37c34,31029ce7,b0059546,d5984f3f,c6d3b7b8,804d2cad,5e88f74,fb307758,6c7b9c08,ec2697ca,1360bc21,f453688d,edc82cf5,c96f16e8),
+S(4e60a6c3,684a0435,99435fd7,7ce52576,aaca0b9a,e2e5ed78,b4f64044,ae89f6f1,668aef77,3c0fd526,e9b7f22d,55baba05,99ead770,442a23d7,fa0bf8e7,75385b2a),
+S(d184099,4640c319,9a00608,aa1d3aa5,9527ef7f,46a08f26,3b83fc46,a10c0941,f7f89233,55989992,7b844a71,1f5c866e,3f4c981f,4cf6f190,fcd4846d,1d83d63b),
+S(958627b7,214a7133,55521887,fdff08d4,64c66531,3fffa310,c53e74b,89194aeb,93ec45a8,e0aebea8,378b1c30,974bdcd1,4e7b8983,c8138c7a,cc85fe02,6884a91d),
+S(7d0932b,5d8cf465,ae6917d7,450e9b59,da57cefe,dfe6665a,4338cdce,71cc6c11,85c5b8fd,757613c8,8ec6b250,3e15c412,4ef2ce44,91b7eaa6,5d512740,4dfaa142),
+S(c8ef9918,55874f19,efdd5720,cfd9e164,ae2b1f14,ee745c4,1ec5cc0a,d776cca3,c0b00173,20111e2b,85faf602,cd01a186,8fdf633a,1b0f3017,682e5d65,3ba29671),
+S(8a72c61b,eeeebc65,6cd8acd,8449ebe3,6f21dc8,1ba913c7,742247cc,c8c94bf2,98e7b573,2c18d201,c0faa26f,734d25c9,23411751,b03088ad,1ce102e4,5de36e64),
+S(cf0c29b2,ce132664,c7bfc440,9d1188c5,33c8f5c5,643291e8,67a2fde1,6c5fa23f,fb317c50,1b3b354b,18a120e9,2a639dd5,629b2125,ebb8785e,2626ff4b,4f538e02),
+S(8c9dc0ee,20f7cd08,e9d1db3b,a4569a43,98c3845f,7d02db0a,cf6f7863,111fb016,445b117b,c7b1a779,e0e9fea9,fcc31141,8aee8428,cc8e8e06,fcd265f2,2424cfcf),
+S(650c7470,6f2a4225,eee93622,69d261ae,e18117dd,ae23680d,15c77d70,15f373df,6a4fbe02,e1701051,99828d13,84083d60,5555e2c,56e7799c,b2714216,b77f6591),
+S(b0b31e86,19d20877,1235a402,94a884b8,1c83bb44,8db973a7,3783267c,8494b32b,8c5dd1fe,31e86a2,c40c1490,179452da,74fd5350,1ae38c1,1e1fff3e,a33f8cef),
+S(a156abe8,279dd440,2762a28e,836050d6,7b782022,2036172f,a1a95984,49c15a96,b85356b6,c165788e,3c02549a,1ea50dfe,c557d7ce,4a9052b2,41deec12,eb08ce50),
+S(c2919cf9,924df70c,f1f74e42,6f1fe48,1e4aee25,fa00291a,676f924,69002fa2,19067bc8,50deae06,1ca42c6a,3e252abb,d2c7c6cc,f89c3cfc,a6e7f1c3,a6fe1b90),
+S(1aa1c198,d4f76755,ea94d005,b300ad47,238fe1fe,87cc1244,8f2a632d,4c922ecc,85e4e4fe,847c1935,f14d155d,a41ee4c3,f146a4f9,d28211a0,374ad6b3,c350dae9),
+S(f1e9af6e,45296823,eb5a1d8d,a41c7904,3b8c1166,30213fcb,84e2418a,e161bba4,211963da,8aeed276,f390d6d3,6b958b36,da23f1c,8705461a,312a7687,bcb9f03),
+S(47b98d04,1d7e118b,765fb3bf,5d30f5f1,6ffc7b4b,4745c02f,6bb807ea,e15aa092,d1997492,7099df01,f1d64610,700b9439,83970fb5,d7123922,39d790a2,a116d223),
+S(2220fd83,794eb1d3,a1f842dd,9f8f849d,43d58385,25d30d79,9b4684b1,4c5406a,74f2715f,a6b77509,d58892fc,78915244,66b2db2,df099a7c,f7eb9e0c,c4d8d3c3),
+S(be01ac86,5eef8b4f,e28e15a8,63c22adb,4607c574,c26d7d81,a5b69ab7,265f7bff,675f334,bb9ba742,445aa758,c142798c,bee1cd39,ebb01b65,eb4ca49c,8911da0a),
+S(1e35165,2411e2b1,d491972f,61a42c7d,62c12f0e,25441aac,e4770c9f,254ab47a,ce7b801b,910e9fae,c9288272,18557cf4,73b0b8ff,4296ed2d,6e5cae60,f48fe3),
+S(1585747c,d984fb1b,b34e0ed5,9c3c6347,159309c9,1524d316,f570d257,b7c3feda,9b501cda,20fc0f1e,a7df5176,bb6da6c4,585baacf,a08fae17,9d52ced9,c1991b55),
+S(33fe24f5,4f24ebfa,152a2e59,c2445f19,f1b4bb7c,636a0e64,eea338a6,5f17e9cd,b65667f,f14ae54c,2c272efd,eb2eb1d7,2f9ff4ac,35430488,30283f2,cdbefc29),
+S(783538ba,9f685c0c,f85376e7,dadabaee,527eb0b8,73a04007,9d0a8dae,80fc693f,16e846fc,bdb1fd08,4e7d2521,327457b5,93f42350,80b791fc,e91af5ac,8d35bab5),
+S(ac1d5e99,bf673475,9c1118fe,44f0a7aa,1989be05,e117d2b0,d9946510,f932eb38,7a81d87f,aba5a37,9dd319e,793c2a23,e079c7e6,6dc272cb,5d787cb8,2ffdd6fe),
+S(f65dc8ab,c670e7f8,753246c8,e5273670,d12a4ef7,a3296de7,3bbeb72b,20093771,6a4cf92a,7243fe41,9c6ded92,d51dc607,7c82ed58,60b98aa6,51614266,f9a2b8b1),
+S(bb076bae,e9d21b2f,fa004ce5,e361f8cc,773b2d50,cdeb92bc,5ecca796,f10689a1,121a0fda,f6192c07,b2a734de,9d8b8bf4,609d2722,8b0818e0,a488f83,176303ee),
+S(4eef5fb,85174419,7659a95a,dbb4d472,d418a8e1,db93ca1d,af6ba2f6,49ee31c7,91c54af5,7b5fa5ce,8e7c3ecc,f90b2e28,33a969e,e3f5bd30,4808e89,f25dbbed),
+S(e3473056,711af387,2bb63d59,c92817fc,16c97b7e,33c1173a,df11633e,2984ce45,816407c5,3d1debd3,ade1d781,d46f8b03,2aa5bc05,e3c1bcee,5213fd50,c39b6d17),
+S(f2356e97,555be224,cac10a3a,c6061ffb,8a67a77e,1d97f011,f86e7594,2ba2665c,8f5dbff4,a6ad3bba,ca27c595,e2d1eb67,e0f752da,817f2e1,5e27b9f2,d6b955e),
+S(1c1682e8,1a4c6d19,dd01945a,34f096cc,1854dfa7,fe42af9a,b523f7fe,cc20b8d2,a610ef90,190b3390,97de87df,10d01c94,4a76610,6d8c7736,87d2b863,621ee297),
+S(53b1dc92,d540faa9,c67410a0,901871ee,eb96beb,6809aa96,545b02af,e2cff0da,2132487a,616b4084,c2dddd4b,fba075b7,66607859,4d328d39,55c16060,249b1f23),
+S(36623f66,417edc01,c4a43dfc,e97573b3,f14cd858,a6fbb2e2,54ff1df8,21dbde93,88cdd6c0,b3872cf5,9921d376,9eca93f3,d5985f2b,ce62d132,18de4cb7,f6ebc27f),
+S(195345f,132c5c5,4f6e1bb8,52f1f76a,a7ca147c,e347b5ac,fada9fc2,f90d3592,2fb7f1d0,23f0fd8e,9ae691aa,3eff2832,4e6b4390,e42d7129,246f14a2,902797e4),
+S(ef5badac,2143e60b,adab5ccc,a05f222d,426e0768,44e6edfa,4eba747c,8ccdc909,afdbceb1,62ee5237,f55ba6,71395f2f,e4429a2d,6d0c007a,30caf51,a53b29bf),
+S(3c3dbd83,bc2088fa,65a9cc99,95ae0fcd,8a065e1e,9b8bfd2f,7c3a76e9,72305688,336470b4,54fad342,fc51cc10,6a88d82f,6a8ee961,46aeae6e,19e9086e,79325072),
+S(1da4f2e4,af97ce25,1fb180e2,c529fe17,c30b318b,53c3b252,53d8feab,21b0a0d0,861cf8ca,7dced920,1e59735d,11d39947,fba5dd1f,dd507a99,a882ba26,6e468ff4),
+S(d5bc320c,8618b30f,a9305bad,b6b1ce9a,f5fd055e,843891a0,b0d2fdc1,5fc51f54,cc8ce071,7cda58db,25628843,780d083,625d103c,daddba16,ba751ac4,5e3f281),
+S(f5b3f6d2,9939f586,2943067e,361a7333,ef49ca55,70df45ee,e716ac43,cdcc4e16,7e522add,4cf6d92a,8b77292c,b522dcd2,1a456120,4b0abb2b,614351ac,ca1fe517),
+S(e27f83a0,f2b76455,1e24d358,d39b946d,63dea7e8,5cee08cd,13762d43,a3b05654,fc5375a,cbc0c518,bf3fc169,3170f204,67ddde21,7db88535,74b6bd8f,4c677f16),
+S(196b36ea,4d552f6c,eaa9f749,fb5ea209,92cbce07,f1cea121,9318acbc,7c87ba82,17eed0d5,1f7500af,3f11217b,b703a51a,bde3772d,d4bbbbf,1438af15,334c61c2),
+S(cac69e96,84328713,e06a135a,ce0f0fdc,1812eafe,fa499993,980d2895,5804a635,f02fa499,9a54c238,4bef1f2b,89795b76,3d3e526f,aa1081f0,189b4488,1d5828b5),
+S(1e1f25b3,d43317e0,623f07f8,3fb09946,6ecf2381,ab348284,8670a30c,2ac734aa,c096a239,3dd1ca24,12eb4637,1d6c3200,a5992f17,3e6203a2,4313f000,62076e8a),
+S(77c7da51,12a668c1,666b3c79,966a9299,a033ec4b,976e1fdc,15d62ae,96021cff,6f3f728,9eb1ff33,e80a7c09,134cd880,9860f9d,8805c8de,e194f868,4852abbe),
+S(8aa11355,a8c1444c,c1d2cd12,d613e6f,1145e417,d11d9e4f,d13442be,d7e23aec,52533b3b,1024e982,725f77e2,50e785a4,97e253a4,f816eca9,2ff20ffd,7dd733d7),
+S(3f504f0b,647cbb41,74adbcdf,2d226689,5871107c,68e12cc9,dc30058,4302b841,22a53436,688d17ff,feac444a,b5ccc64a,f82b802,da8beee2,db623b1e,fcaead50),
+S(3f02019c,4692ac29,5fed5e1e,5190269f,92a689c8,adaa9e24,2a1ae01b,d23fd952,704f03b1,c7c03308,70a6dd6f,60fe12a5,cd711511,41ed831d,b6e5194b,e3de6026),
+S(d33fd654,d7164cb3,a1a40172,28559c54,25630cbe,e34c6c01,8a8757d9,6eae7980,fbe58168,87bf57ea,b89bd0ca,3effb305,7b8d5369,dd4f90cc,279bb613,49d2faf0),
+S(fa3439f4,bb63e36b,48056dec,109e7ec8,51944d8e,d7ac278d,23e21415,7902725a,b427d74b,88806fdd,fbda126b,38ca725b,fa61c855,5118fee3,d4e1f586,e888feb7),
+S(f5c58687,a83c7896,3c021e40,e25fb197,82d422ba,7df59a1a,4f56bf83,49b19e2f,6b94698f,3f286993,ad8bf70f,5ab72ab,12059f8f,bc4f7c09,e624854c,3b76624a),
+S(18e582ca,88939bf7,16ec8462,91d1ac36,a39319ba,546ba6e3,b224d6e7,3b0b30ae,6d091b7c,69143704,eab7ed7e,deba296c,26688d08,7d36d70c,8540c23f,ba98b8cf),
+S(a2ded3a8,b327cef6,84785264,5b9ac68f,8e43f035,fcf00da0,da97e6bc,6d36db68,31b2764,36139115,1852a944,179c86d0,955faa17,da85281f,af02b71d,ea120dfc),
+S(da61911,1341a038,fc286fa6,704307a6,11cb4c2f,9f6bb51c,da89901d,cb1e0f2e,30cdc05d,69e3434c,4cf06c35,f852b6cb,e0edc7d0,a9ee2daf,d793d2f2,b2d522ad),
+S(9fa4c9d5,103b0cff,2cf01cc0,65c7afcd,b02a0a9,72da4418,63cc30fb,572f2008,401b410e,397b98f7,5948ff7f,babf6c33,9b1e88ac,77455bd,9045e7f,a5489e74),
+S(952c5289,fe18f7b0,40f8ab3,17bdb63,fcb610c1,a6b3a4ae,4a98c1b3,2f1af628,66fcb4fd,2d347e9,fe40e378,d3bec17f,94bfeca9,faa84789,98f24294,d3fd905f),
+S(5372941d,bedf216d,2d79656d,db0afa6c,8fcff27d,7464cc2b,a53a6bef,ac01f020,79bc84c2,33f106e8,96a1130e,a841b690,ed5e6b7b,f1e1c8aa,d833fa56,5fd4678c),
+S(a4d5e6a9,b72da410,ec56d24,c01ae684,fd8e029e,713f9a1e,22c660d3,30bccf99,f08fde87,df365268,226f68a4,52acdf64,23f31856,9435740,9fa06d4,564cdff8),
+S(e6dad981,9b3cba07,1465007d,4b4b5343,9d548033,4896c86c,bbede7d,54c0ab97,9e43f1bd,949e54e1,57a4adde,61217640,f798775f,193cef6a,db369c88,3e784d6e),
+S(dc666af6,71aa7218,bac55351,ee12b736,8a29a026,19ec4f94,b9de8b80,eb3232a,3786e989,c684d01f,a4b5ff5c,3b0619a2,d39b6543,4ff0dfcf,24b59966,9d7dc874),
+S(2e730ff0,401bb59,6dbbf02b,d9fd4d3f,eb3f6f3f,51a2ba53,d77ca83f,a2acd02a,9c508012,5904059f,bffee85b,8fce1438,fd761f52,86f1d798,512c47a2,d96ffce9),
+S(9824c6d3,9ae02d8d,3b59290f,99c1d183,1d5bf401,15d6834d,799c0827,853d0090,2062d562,bca410cc,3b5fd22e,497d8078,6bd1a94e,d7734a66,a5a3495,77c406f9),
+S(b10e2769,8f6a9e66,65b330e5,4b52093d,caa4f57a,19cc314d,eeb2452e,60f05cff,a9729153,e267d4a0,5859a9ff,3ab88628,47f3c117,d6ae757e,a19246b5,448a20a2),
+S(d8817793,68ca0437,c780b0dc,51db1f46,ba5ec6a7,566b3579,e157a421,eaa04c4e,94da7eef,255630a1,820abe8b,7d8bce00,dbe5c467,89a53be7,2698c4ae,925d1576),
+S(5151b8af,bd8b69c6,e42db2e1,5876fe3c,2da5c340,e17b52bb,93170bb3,5351bc95,122d0316,55d770a2,4b493484,8fc1777,de9a0f1,a5d9ada7,df678e09,591c30c9),
+S(6cd1c141,67feba0e,406e12a,2bd012b1,7dbfd03e,9bacc6c0,6fd6455c,76cc0c5c,131f4150,f7ead6e6,35e93fb2,e672cd73,7f8093a6,c27cdad4,ea4e7c75,5c2ed702),
+S(e83f8bfa,b679258f,67bdaa95,5cde03e9,bfe4126,a0eb89e5,abfb072c,cf536043,a9fd9d4e,e5eb9d90,5d8a3665,73d423f5,deb868b1,7433af16,28fda09a,406dea8e),
+S(afe4206c,ec19b5a0,77683c63,a4164360,54be1122,db0c0bf6,6e564087,c6ea2670,15db0d5f,75b53b77,52af9b90,288dd9a5,a26f556b,37adadad,adaf558c,587b9e5a),
+S(73428153,102d29e6,6f006910,5116c7cc,ca8b93dd,fe1c257e,9e5003df,ff139d47,7fc6eba1,465f201,3d234be,a022ca08,7b981add,a5ebcbb,8704bd26,750303b),
+S(424143db,9fefd615,c6a97e1e,c59c3338,f7f4be7a,def4133d,747b7677,b0227e85,f7dce798,10cbb1be,3e1a91f4,9d490b63,aa740517,3a84d96,b37867b,635f68bf),
+S(1d2bcb78,17bb2cca,b5c7e058,be33a598,122758cd,92075f20,24a7bd83,7f8dcd80,363fadf,e771b3bc,46aa7a6,cba5191,3b4d04bd,e673615d,8550822d,d351319e),
+S(5cfdd130,bb671192,e4edeb41,96008cf7,4ac47279,ea94487,5962bdfe,bb1f4326,9a6cb3e2,925e75b6,264eaaf6,4f56fdd8,c0f4c5d,65cafcec,5d9cb110,5900cc24),
+S(52495f7e,1853e084,272d6b77,72dd19f1,4f874952,ea08afa6,6ac16764,9664904d,2bdb6597,99a1822d,9801701c,98646cb,37a1f6f4,cd503720,79c23c4e,872e3d4f),
+S(d82e59b1,18786ae4,a6b227df,3f231216,f33d2e1d,b0adf12e,a515c9ce,83ee1bfd,772bb140,7f180791,25d23c04,558cfa84,9f0b716a,c0863361,819623ce,7af2e437),
+S(f6dbc260,90822790,e71f8657,22df2bb5,71eb625d,ccc23d3,c61fcba1,b9b96776,c23aa922,ea7ac2fb,c88a860,cfc3d7d6,a8c4f599,59c1c3c8,aadc88e5,aca1a54e),
+S(aa7b6845,88c07567,a634b1f8,2425a085,6956955d,e532e905,d6017ca,5ebfdc1e,6ce07cde,1c60de7a,ee80355a,258dae5d,25960af9,be9edd3e,dc234e57,7fba0eab),
+S(68065f44,466294b3,ad7e6225,24de08ec,b910693,308f8d73,847827b4,b4318656,c6e68f0f,2e9859f1,a2d9aace,ff9b4c52,4329b8d6,12233991,900d3e23,59804555),
+S(c3d14307,5a223701,4ab61635,db180a64,162901b0,cf175010,d55129ac,168b76eb,5bdeba38,2f747cb3,50844858,b161fd5e,3aa8e7d6,873cdcc0,1702d527,9c691172),
+S(3a1b6c2b,145a2f30,88e3cd41,6d2a0b8f,60cf8d2b,b3960c40,9637e5d8,a316f514,d724b2e4,c1c2aa15,9b85c32,684fa380,8af93d3b,c6a9d647,bce39a85,2f568fd2),
+S(d2520145,c4d27a54,ed6de50b,30fead1c,ec602c4f,a74e3ef6,31f6b88,23e68bef,7cca310f,d966d423,b7285d7d,f4d5a3fd,fb4ad29e,94e69eb6,2a60a9b4,c666be46),
+S(d01ff7ec,b4d574f1,56755c8c,fd615a99,83018ab2,35826574,d94cce5a,f78ad3c2,d9d17ed,ea436ffe,fb2f97d3,58485109,3dc64f0f,5bf540ee,c98ceb0a,9cd4743e),
+S(5456f76c,a9c7b5c6,42cfcaa,aa0a2dcd,883ecf8a,626786b4,4735e700,fca5111c,6b3e05a8,6ffa85d9,8b9e4eb0,72ff60a0,df87c298,c2da5a31,d2af1c8b,54b91381),
+S(14542249,652e33a5,6283676b,223c3055,56196b3e,21e48607,2652f7d8,ce598e9,64e9dc13,6b8020e,d590ff06,8702f99f,91c42596,b7091969,e34f2f5,2e0cb5de),
+S(26d85587,4888c76a,96a6dae2,26a6f985,6fb5b9fd,b4ded1f5,a8f843c6,7346f307,d1c71339,d7be6c76,f1a8b0c4,f047ec71,519bcb05,a25ce054,afcfda6e,19971cae),
+S(7f8e7eca,e0257e79,ab2c04b6,dc045ca,363c307a,4b04ba70,c5c6272e,23acf215,fe96da11,f16d1171,9f91a666,23cc326c,57d3d453,8639377d,c6b79b63,56ff6ef),
+S(4ff72771,ccd75c6,2ac827b4,e800e580,e6e4681,208d64d1,11c93258,2d188154,94e87e31,b2907d44,ee02e947,65ee5da6,f2bfd7b2,9808bfdf,dbd2825d,1b3d6c77),
+S(afd475d0,8946f556,81284fd3,fbbf67fe,6989497a,481543c9,1d4f4254,75aa8d94,669a72c9,a8d0918b,a1e787a7,5b505f26,d002b417,f156d888,5ac02ff,bd29a920),
+S(f5c11fa1,2912b0ca,e4d680ed,55ea126b,3c260a2e,b8fb10ef,ca21ad7e,65591590,7406281a,a8744da6,eddeeaa9,274c0591,fac0dd0b,3d7c3df7,e0f65c7f,a712680c),
+S(ec9b680d,bdfb2a2b,fbd04bf7,cdbe820b,7975563f,6f0f6646,72236c66,17aed40a,851c69e1,99b77fe5,f16c4c2c,4bea6771,1a23afc1,569a8bf3,c91e4133,a8324e53),
+S(1f73cd5b,34444b1f,d7287750,c213d5d0,17a8fb49,da9cc3f5,9ee30939,dedf9c0a,792fa236,514d0a6b,218b312c,c5b614dd,cf0a2960,ca13660e,f696d80a,b7faee90),
+S(7b0013d7,a6c967ef,e1006cc4,3fb177e7,81cd4021,223ba083,50db6ad9,1e949e06,a2f8fa6d,b6416da5,d0b68bb1,c1ddb47e,8081a063,1422c72d,2bcd7b46,d2576a60),
+S(14ee47f5,539c7a7d,acad832,1197c83,7daac6b8,6ba7a828,84cbf45c,ca70391e,7902e477,28ed6a07,80fdc510,c792103c,e4bc215e,390c3894,1a3fe0f9,582f62c),
+S(fd75aac4,8e5cf9cd,9e14e7e4,6e980ccc,1a3948f7,41e0ba93,25f6d490,1d15d9dc,b544f9c9,febd77a0,89980585,9ce52db8,e1847db9,dd4a7857,6a8a9210,fb61d2be),
+S(93aa7a40,c03e4e7,d605b8b0,3ac2a378,122fee87,9395aafb,4698d35d,8f7f4690,db2859ba,b6d5c89e,2fc4b68,1488ea1d,8d8905f4,a44af57d,3ef9f937,4872013a),
+S(20a027b8,79a10933,519a97b1,72d77389,5b8722c4,ddc4603e,40319107,1ed4cbad,4fc480e9,fb55854a,f12077cc,dce038f9,3ec1f3ec,6a37d7fc,ec03b204,8cf9deae),
+S(e0e26a0,862f4ca,96084cd9,bacbf501,31da0f20,1f3e4a21,f41f5ff4,853a41ea,e78c00f7,3dc8200,cc43d04f,6105e189,387fb1f1,47f39d71,f562d7b1,19c0f591),
+S(fe7f03f7,b6633a8c,e514e801,bd9b3b6b,c4bd7790,69915720,8d49b513,8d5c6be4,74db79fc,180cfda0,c17ab6a7,74d73d28,3c9119b6,d85f3a97,d32389b0,102c052),
+S(92b2bff4,c74df07,3cc3a258,fd4fc56,88f1eeda,1908036d,c0606994,92e3fb6e,f92ac36e,f10ac585,3e64a67,5e8e26d,b3cbaa8c,1670ff,ba060f19,bbf04fff),
+S(fbfdc0c,41238a0b,ea6e3c4a,b09453c,2afb281a,4cfb5cf7,97f3f473,b02717cc,bce0f212,9d3407fb,c5541dfa,7d266788,72343f8d,748b7b3c,8c0cabd0,78378f85),
+S(8dbba484,d9bd416a,f1e18a30,6f42c73a,cc15c5e8,49049c98,612a9d64,f8c99539,670200f4,96e34f9b,50601a49,32200d7,1d79e69,b7889f8d,ca45b13a,cd9cc7e3),
+S(44193861,6c2332c3,1d35f82a,b35b515a,1cb3d754,3f83f5c8,63f809f,739448fe,ea559711,904549f4,b2986865,86467205,58420d27,46efa1c3,2ba002a2,64e84219),
+S(acbc7bab,6acc8d2d,abf39739,fe9a560,d225d692,9a1f2e93,3a441173,5b766e64,e9f2c663,4104067f,5707f9c4,6a9a7d6,312bf3f5,6a851e0,d52057d,6bc296bd),
+S(e3300502,a870f610,5d7b3c68,f26d4ae,bae2b4f1,2a893d74,768a6b8a,c66573af,558f537a,8838b676,121a9d0c,c62d862a,4224348c,1a982c37,6be1a255,a57caae8),
+S(fc34afa3,8d658fc4,8d420c47,651057b1,3eec6863,2d3c3a22,bd83580e,3a6f8b82,96a3436d,228bb25a,fc274c5d,7f5da6e6,fcab6b6b,72ee98d3,fc293ef2,ed523154),
+S(5e1cddfb,a73e3534,c0409da7,af922c43,7f9dc2fd,6f573ee6,918de501,90e448e,4b1adfe8,406274fd,6c1a3ec0,68568d0c,78132b3d,efe3a9f4,fb23a725,a4f89251),
+S(d307c67b,cbcca4dc,89c680ef,9bfb7421,d2283fcf,90a07bfb,95c50cdc,f36deba6,254f92ef,5734f448,24ac8020,89f84bf2,b7e8967a,8afbc2f0,e01bea62,b4a90b73),
+S(f4977bc0,e8f81cf,753a2b58,65b512c0,6916b53b,1a0116fc,a5528e2d,aba2f2c0,49fc2c15,8cf226a8,5099bc97,97b2eba9,9516ab90,1e39d462,3adb96f,c44e6c99),
+S(e70cf22a,9099028d,96239342,bc94619,e266a53e,6df63d23,fb317879,cc547382,9ee3689e,f7eba3e0,f8715242,5ca1bcbf,fac4d337,ac4afb59,107788d8,6f0f61a7),
+S(130fd05c,ea863c62,15aa8789,2d5e293d,3493ad4d,5f526a06,b33c4675,e02393b8,75c9776b,feafd1ea,252aea1e,5f8c8,9224ae3f,39c5ab98,98395468,6f45cb68)},
+{S(1b8462eb,1ccdf7b2,b8372f2f,cec1f479,ab07c09f,cb26d6c3,965ec73,4d654f81,62f6755,b4a7891d,55de6427,fbc37d33,e4eea418,a2c04392,a3d11807,ccc9025),
+S(deb66785,6c4683c6,ad7c39e5,deb1b8d9,722ecffb,f431fa34,9dceab3f,698f738e,bae7261c,368ee55b,137b913b,8bfbbd07,de4600fd,7a071287,47c31531,924942f4),
+S(75ae3c34,5cc1bc11,46c5f13f,a1144759,d39c4d20,4a8f2f0e,bf3c313f,707d49aa,82a5a9b2,2743788,938a0b76,eeba99dd,f85eb5bd,f7ab8eb5,5f6e5334,a00438de),
+S(49bd4e57,c59dc8c,c4cfb0fd,83c5944c,3591eab8,1ae90f87,a8d30725,1904fcf8,66e76d62,610cae77,38976214,20955dd7,95e47715,3bde0ae7,491927df,bf2b1c75),
+S(5f3c96aa,a71c774b,754f616c,5eaca0ce,f9d82264,7dfc7c2,ce38ac7c,d7429748,8c72e7a2,b7371046,94ce5e77,521ad47e,2fe5cfd3,10cbcec2,febdd977,9872ace8),
+S(43d8f72d,fecd31ae,91eaea66,a7b96a25,2c05c3dd,8d7afd20,d64644c6,cad460fb,d6a28b23,50f5a7c4,cc8233c6,85c87875,9134923,55cd3532,f888fb79,10342509),
+S(cae9a205,19cb6e40,ed8c6774,7e7c52fb,5c57f1e1,56ac6f32,9f1538ef,6971e888,959e5c41,344ff293,3387c680,54c03756,1f3b6a97,a75a3119,da25debe,7acbe4c6),
+S(5f96d7c7,a8409a4c,d4afd355,1139ee0d,ae63bf99,2580cffe,fd5f7497,2bed3d26,972b40e2,83dce233,190e8961,310d854c,db5d4805,e045b4ea,29414909,592b589),
+S(2ed0f7d5,a0281d46,61159e80,3cd6bcd,61b1a37e,16aa6801,bbfe526b,9978bb8a,8a6d62e1,2376a282,e62b21df,238ffbad,a055c342,db073e86,1107ac9f,2f2149e0),
+S(167b0b4b,c6a4c17d,9f3a2813,87bb277d,fa30bf1b,f35db9f4,b521cc53,dd479a18,32d48b8c,535a49e0,4c412b05,7e000117,271dbe4,5b7bcaa4,87a857f,b723fb31),
+S(358af81a,b1352729,f824fe1b,40eab58b,23298fed,82dcbeec,1ec3ba91,21438fb2,b5bada2b,3906f17a,5f882cb0,460252d9,b11c221c,1d316d79,c21dfa73,174c9cbe),
+S(ce544020,abc6a8f5,4d911c49,4d0fe111,bba24b6d,7b5f43c2,7f307c1e,1c2a36ea,2d34bffb,416ce2fa,21db1ce3,b6a97aba,29d7a45,29081849,45df56b9,ebe8351a),
+S(6057a2d0,11320781,132b5de2,48ad5fc0,d0b69de4,2587220f,2de808da,e61906d9,df0510ae,96a02157,bccc84db,32204888,277d22e4,76160682,65171c77,4766ab23),
+S(4eae969d,c9ca79fe,8f61dfa0,e6f3525b,12a3602d,feda122e,1109e0dd,43ae07c2,7763de53,9abc7599,75f289ec,92866fcc,486b1b47,40ea9761,60aa37f8,f7fc142f),
+S(a698bc22,7cbd5730,452aa9af,2cfb600f,425d27ed,716cbe96,603d3280,df046c52,c91312c0,7492188e,bf054f37,e20b68b8,9e135946,7180a505,389da7df,7d45326a),
+S(52fdf09,1413d6d3,1f64df21,17d35360,16323b0c,e93c66d,257157e6,2e2f8197,d00868d1,b08ac819,9c4e0215,a0beeab,76a543c2,6e3bd1d1,67709cf7,ce2fa4b8),
+S(c19e6f2f,98a0f54f,4f61eaab,7b4477b0,ddbe2577,7e82e836,d8b71e97,9782461b,65855134,75c8676b,210c29d3,89d30beb,dfcfb798,6841fae4,56e7b800,e2193d15),
+S(7cf919ab,a90c3572,bd41f673,b63d761f,60f28dca,8b3846bb,dfb13545,1ba52fd2,d474c2b7,d6e83e20,12866c01,21f17fe8,e6b36237,45d162e8,4003f04b,808f82d0),
+S(455e9205,4d052a0c,9e0a86ba,83ed7fdb,b2b0c06c,eb05b995,13f6ac0e,75f149fb,12b026df,332040e5,8e2f92ea,be60e016,cc8941e5,d7972217,dba58548,f1079657),
+S(e066bfb0,1239eaf6,7599d76d,befab533,9542c16f,6b150dff,c96a0eb2,bb0b1622,a8f1743b,b307f660,6ef6485d,aacd5b36,93354863,1d287b83,11eaf53,77df9ea9),
+S(f4844f56,52f6b97,fae41a88,3e433286,a0895daf,4929fa51,8aa5040,da2b79eb,a6c86fa6,5c02cc6d,25b6cd86,473eabb4,95d28ae5,b71061dd,8da877d4,9ada9ecc),
+S(111d3003,b086df80,114ca249,993e9a56,43980184,66ddbe4c,adc919b4,d58e60d2,ffada7e9,bf38ffd1,19cb0568,da7c8354,ace0f714,6ba144e7,90b1fe26,5e97f82e),
+S(4a556e10,ebe25839,9bc4c3e3,8f4e1c1a,7a1500ce,44c38a1d,94e7b516,18ba3b83,6bd865e0,2d756729,c7560a7e,5422f19b,2f9e5007,f7c31d2f,3ef8cf86,7eb83373),
+S(10b0a6b2,dc05613a,c436d0a0,9b082c01,8197ebc4,f106ecae,feb40113,1021a9a,6d6ef39b,33023000,5d68215,aa46ef26,b88d6e9,73b21752,a2bbc055,5c88dd31),
+S(a0666545,df775bd2,83a6237d,8b8a7357,7c6bf0f7,5ddae3d6,4e65d3a7,90c69336,e61fd87,f43a927c,a5817c6d,20edc6d6,c69e6667,8765be4c,dd260eee,6a7dd5e4),
+S(a593c02b,d899107b,6c71aaac,f7314f36,a594c892,32f5dad6,15601ce2,de916170,52fda077,3ba509f4,a1eea11b,6d11824,83a7c16e,b4227d27,fa844657,cdc21d86),
+S(46d914c6,a68981b6,99e46e4c,56a6c482,f9ca55f5,4618cffa,5446e93d,f11495a7,bf913796,9dc92ac3,7d52b941,e6199412,117c49dc,8c05df05,95b7721b,66ed1d30),
+S(7882d56f,8e53e827,1d51c0c3,49d2afa6,d632fe6e,344a0e4e,c467ee9d,7399b953,345ace50,4127be13,989c4d7,38f00271,a3ea7d8,720ee6fb,82de9c1e,3873f95e),
+S(78c6fc9e,571e02b8,f8bde2f7,9540fef,452fcf4e,2b6e7649,3748f594,aa4d6cb7,e7f5a947,b486be05,ad3b9b02,1834b360,ed8bbc78,6013f58c,dca02885,bc8f36ad),
+S(562b2b02,741d8c65,6f457bad,56d7bc25,75ed4ced,46577b52,d8b35deb,e8a7504a,17169453,9746549d,1674a55c,2bea12c2,56074f42,91783f5a,59b92eed,768f4095),
+S(81f3c319,ff4e12bf,9b7cadc1,75712278,eb9b9275,87df662e,a72fd92c,7d79232f,eb6ce068,131ac2c1,c31a19ab,9aae0633,ee184235,62065a31,59d978cc,43523b6),
+S(8ad3bbb4,dbabc2ea,222d818c,6680c029,b0a11a15,7c175165,69a2729c,c4ba1608,65c3812f,9f645537,fc6cd8a8,94279c10,5eabceb,dcd21eaa,dae4784f,69db467a),
+S(19bbdb50,a8ce9bc6,5dfd3006,3508bc23,528b3e3,e0615529,1ec0ff71,6a6b708c,75f8a65d,a25c9020,e1b3e26,929e67dc,9edbe8cb,7ce44e29,a3c2be40,50c3370),
+S(8866249d,46d790ae,276930f0,8bfd2047,658cda45,ace08344,5d254413,502369b,41547dc4,2fc37c54,11d65d1c,83df2e5c,31285530,15b51106,155d7549,5e04e711),
+S(b18db2b4,15471fbd,38648770,8075b1a,7244af47,5a4099cb,ecfddd0f,18bde801,1a2c7d97,23352c93,373919b,a28bfddc,1af8d2b5,953a7da8,2706027f,e802b77),
+S(dcd6a63c,70380948,dff9993e,b163a6b2,54625677,5981c03d,16b7b46c,f0b05bd3,2db2651a,e5adc2ef,f2277b6a,d59fa0e6,d6975fc8,14c0c4c8,192301b4,63fc8969),
+S(c66261f0,3bc15a7e,2b7ec26a,9ff9ad3b,ccd7a005,b7f9eb0f,f14dc9ea,64b66a24,975f18c,8eed73e0,c2873945,2fec446e,eeaaf732,c3406add,efbbba5c,8ce72236),
+S(1ccedbbb,6705448d,9f5a6271,51bdc2cd,e4f57a4b,ac283514,3de7f244,b3fe2593,d58f089f,588979b,a8dd5e1e,e1f2b1fa,26ed488a,9b7ff553,4d4296ba,c768f3db),
+S(fa89b801,ff0cadcf,e45d5e9b,b9d76769,a4a8c293,c4d7dee5,eb3b889,ecacec83,fc82e286,1e786cf5,854d69e8,e3c09ac0,4d584273,27f9691,33cc0087,cf7d3a3),
+S(ba9e6bfe,2167dc7c,e2cca3a0,bd90050,6b4c5ed5,a65b6799,38850e1,e983c307,8076fb0e,e4b3bd10,5826a6a4,eaecdc6,198cb674,f62ab20a,dc8495ef,9c69df52),
+S(dbffd22c,abad0651,673f6018,a4ec19cb,33e25609,5170c06f,b37aeef6,8a7cf6fa,532a4a76,56c364fc,72e4e3b7,b0bf6fa1,9c7c526f,89cbb49f,8e8ed85e,e85dbb48),
+S(470174ee,d0a5ced0,3136015b,581f9e97,bbf2b486,6bc855a4,7f4447ef,c2465628,f6347774,94972ae4,90748fbc,631fa000,5c3c9b2e,60072fd9,fdaade69,ef0f039f),
+S(e965ab4c,e7b53fa9,e47a278f,18ec2338,5bc8ac5b,ebd90260,340637c8,31585369,ccd9d755,9b80ff65,ee866c71,44abb0e0,3fa30c1,91bb8593,da54840a,cb2a9d95),
+S(f4ed2efb,fbec7f8c,54de593,80958b35,e3e4f3dc,1af445b2,a491b41b,256ecba8,b23b37a,9c4287f1,392eee8d,50d8d406,cab40679,a66e0d40,544aa304,aecb9c2),
+S(3d911698,27693d14,3b0d458c,427cd698,eeac19a7,8f64d68e,9cb43c49,5421d915,be75c3e1,fcd657fc,59806fc6,bf1df70d,59e44b4d,6d217c8,417d20ed,f4560432),
+S(c4589f51,1ed541c4,c4872619,726e7381,a9566548,4e8f0c16,33cf55a5,61b4f33a,c31f26d2,48c2687c,e119bdcb,1aec287a,2f7e25bb,5b3b1ce5,3af33dd0,9a92508d),
+S(b3ac12f6,f45d31,b1d6f44a,7d042406,c04ba3ba,ae68fa43,f8200717,b3fd7c90,d04d1b06,ea0f072c,daef4212,89667b3e,effd1f8c,3b4c4f94,ada534cc,552e6d1f),
+S(73ed49b7,9a7ecacf,6dc8ef7e,663111dd,40351718,d3289287,7131f8,53fb3b73,e25b70d1,c9d605ca,571754fd,6b5b0317,c7454773,9f71c39a,9069431c,1c755161),
+S(d0cdd56c,984d2f4d,6f5068e9,27801a78,9de020dd,32c70cd6,eefe8dd6,aff910a3,35152fe2,70b7bad4,f0d151cc,6ac69412,5b7dcaa7,c757ac32,3562dd8,45362494),
+S(adc7e82f,bf52b914,cb3e3c4f,c1d96ee8,7c1a9b5,3a449587,962aa19b,b03967a0,4883619c,7be39873,9be896b3,b1fd6f9b,c62ca121,198bf71d,85e918e0,7ac115e6),
+S(a204d702,1a346020,ab978bd7,78ac1df3,bfffb831,3699c3cb,64a118d4,da7f607b,18a0827,bd9da5f4,35ba7ebb,3c4f198c,3f5c3313,fc6f6e0c,f796e51e,3c2e7d5d),
+S(8a6abcb0,2aa24acd,71168ace,c4aa3aea,1485f04b,afffc1f8,7ef9a059,d5996ee0,9979410b,afa6de0d,42852883,e13e84e2,e62db36a,6c2a4967,f8e30a8e,11775e5),
+S(144704f7,f1ddfdf3,2e270958,99e0f74d,467b09e1,ef388d1d,954b6817,3cfdc2e2,60e0c043,c4bf6051,e09960ee,d7a156c6,5e66e9d5,c19d8b0b,b8ec9edc,6c3cb3a1),
+S(4ba11b29,7cf62910,4d7bf384,d87bd0a3,2315170,61e58d80,600fd7a4,b8e93ef9,fd7b0cc8,5c9de5c2,184fd95b,d04d1d34,4c376f52,e9329f31,98ef2fe6,21fc6ad1),
+S(4609bd3a,6d606aad,f372a731,9f88211e,31f8e187,d3d0f7d7,ee418817,13540066,62d5d099,88f99333,e309b519,93c17132,45ff5435,8c29403d,8cec5c58,ef4450d1),
+S(66e02b23,5399ad24,6d898a63,6e9f968c,b8abf79a,d976df4d,962219b,ab01997e,80a6f6d2,ee813cd6,bed0685e,d42c926e,d59f3067,59a409d0,3529d474,92acdea0),
+S(aa668419,1ce4a14f,450077de,e4588ff4,7565c821,7d7e7628,8a2fabf2,7ac7f1fc,e9c1eaf2,4b00ea7e,34f65672,4db33d21,efadb2d3,7ab90d09,e067a286,a75c200),
+S(b4680ca9,f0d4eaf3,36cce2e,aa281eea,c522d87b,ac51995b,6893984b,7351daf4,212a1992,b7af5e9b,3d538c81,193bdd3f,61e24271,fecdec72,f1359bb2,95882590),
+S(f682edbe,4cf0c8cd,ca5bbfde,4b1263b1,90a1dd5e,e8ea718d,7f01b892,1f170741,ef891402,e5598b01,295f1e5b,48bc1039,375e920d,550cb552,7bab7160,1ccba576),
+S(a40a6aa,b4ac57e9,d3b861e5,2b70d28a,5fa6b9ee,1e1f7776,37397f04,6eacbfdf,12957e43,31a5c6c0,18d0c987,78723fec,e16182ee,480b8cfb,6506ca0f,70603294),
+S(53b2aa09,23cf3866,61c0271,7b8302c7,4807fb5f,31641a8,e5c4135f,1e6bf439,d4eed7c9,8b265069,533cbbe5,a6be5182,9d79989a,9df82e71,61c3d45e,f0ff3e06),
+S(2644109,54ff1fc9,34ac41a6,5b7cf7f3,d66a0976,999b3a90,bc2c4c0d,de3c4ccb,be2fbecc,c71068c6,4b692e1d,6ecfca5d,14271c40,d6713ca9,323eabde,cc7dc588),
+S(2e63233a,4146d344,6ed628f7,a0fd277b,435a9d81,21a2dbdb,43dc38db,69189e91,f0d3d6bc,13ee5049,ff2deee1,a13d1e4,eb8a579b,965a86c4,1a0cad1,8569494b),
+S(bf0107ed,190729a4,3e130ff7,5cb99a3c,b13392b8,7fd01e32,ae9ec3e2,a0a93e97,eb2023f5,76a06d93,27cfd3ac,c6ba3d5c,ba3ce673,f84d7666,bd2f3f0a,edb63b9e),
+S(c22f151b,c978953a,f3a1fb0a,cd1f7255,b5923e6d,c5aa4c26,53fd2109,3b493171,fd3e46,cf4c66f9,c66c5075,313aa519,538b3df9,f2660554,8b407515,502ae877),
+S(b99e5b3e,e44391f4,dc3654a0,86abd389,51c8d8ca,ead1ed8e,ccc1b7e7,5b5a4cf2,74b4fa80,bb4579c8,643299b5,5478ce5e,9566c1d8,98eb10b7,200e8854,6a20eafa),
+S(b1734d6a,7d8e19b0,10479c2,49ec6806,9d42ffab,e8265d6,f5fffc06,fc1243fe,bed2333,91c587d3,8710f320,1e74fd1,5816ac9c,2eb70bd2,e182cdf5,986b550b),
+S(c6c97574,dae3b2dd,9bd060fa,b0515853,b2043ab0,4e58993e,98aea78a,f5678b19,3127c67f,dcf8cfcc,f4b1ee2b,17abd614,ecda39d2,3baa99b2,53ea3c80,74f9b433),
+S(14d32f30,f9268e0d,98452de3,4adadf46,928457cb,423b1d95,a58c9f27,eee95150,ba73964,1ac3088a,2285a4af,c63467f,9efeca29,5ba61418,f6d15a68,1d7b12f3),
+S(fb71dc00,dbcacc94,39fc4949,ed18b7be,45cf50dd,8dd68c18,b0855344,fae8395b,789b4500,3add70d0,cffc34e7,5c348033,30965e66,b10e0b7c,eaa21f5b,782ed574),
+S(97978bd0,2696dd07,408e4a82,c5e7394e,6379e3d6,314658d6,a37e302d,218c6ea,852fb297,591996a7,f1db1402,5ccbe65,9819dadb,647d28be,5f891bbf,e96d3b57),
+S(22d18ae4,56cde12e,451f800,f61edc6c,e05a0fe1,91afbcb0,8dffc101,400ff240,4506e9ae,7b87bc3a,9e9eb106,f3a4bb3b,9adf5144,6389db40,5d6e3e53,22874552),
+S(263a0e17,1c1271f5,82ccdb1b,5643b400,94f18e82,e8e2a67a,79ed2cbe,c8d7450c,3cf4ff5c,f9b9a42,74650323,88b5083e,676d0ab,45ab061b,9de8d16e,a5f63e84),
+S(1fe94ed9,eb72bdbe,9ab19dd4,abdaf994,7e700451,eae8acd6,ab2a31e1,d97a9ab6,f87b6fcf,e01b375,244b1550,77054488,ed835f5d,3c0d27f1,5f150199,40b3a153),
+S(65ab4ff,32bdc4ab,953e8983,11ff56d,2648904c,a6ff30ad,3e013c6,f6b46783,45106115,7e3c8b0f,8d362ab7,2de710b,833cb381,bff4d243,32d6532a,1e76cfd0),
+S(eae54dac,dcda8825,45912080,6504fd39,a2237e5b,904c3b62,4c960fb3,ec235cb,790f33b6,6cf0a163,160eec2,4f43c321,31fcbe88,696956bb,8b355eb4,b00093b9),
+S(5122f262,72e25078,a9c989a7,cb0bc781,47f0be89,6efc65ab,67369af6,8b1b8f41,612aafd3,a2f791b6,5d62a52a,202c58d2,8979e4d9,a856d589,ec45f514,4b7e80a5),
+S(9884b4e6,5bddf06c,c3b0be07,108c4880,f2c9f4d5,58b2781,61e57f29,e257aec5,5d4c8435,c7b7a514,929307a4,ceddaea9,ff551c0d,faa2bcb0,77c68755,4f7b4dd4),
+S(4dfcae95,4a4e92a,37dc6d8a,3e503359,4b193f66,6adda287,603499a5,f55f53fc,7aa5ee13,952a1572,bfb85bb1,20e0d2bd,1a3dc28c,b87f01b1,8f817b31,c143d58d),
+S(bf8f8ea3,d37eee45,78cfcc3a,6f173097,abc2582,22128787,be7557ce,df4f9a48,8fc5aec7,129e9a05,3c6c4654,4559ba34,f0395264,f01ec35c,1eb11a4c,3fad198a),
+S(7d9294a5,f462db4e,5e69ac86,427ab556,818a73c,dbc2133f,f6575f43,312d6c8a,d7bb697e,1498984c,d489469d,f4a4214a,4571406c,35b5e88c,f1d11b48,65fb8b3d),
+S(54b0b84,e6ae338b,65d832bf,f820195e,932d4e60,24307c96,a8aa8132,53639c9d,330ee890,4596ceb7,28749302,7c8a0163,cd3a52a5,69d41a75,3c099b50,e92a1289),
+S(a3331196,8e97db37,c774e6c1,52d5ff75,8552ce30,80d7b9be,5d34f7fd,1d41726d,644016ad,988a499a,70b31577,dbaa6505,7e50a5ed,1cd4fe0a,db31bb50,c9a7e0a),
+S(35e2d742,79bbf8e9,80338f27,fff504d1,640cf5ca,30241d06,d388df5a,5d792652,f88cd405,d779b791,f875ed77,8bc92665,359def46,a903d5fc,8052fed9,9390c0a8),
+S(e1d851e9,15812c98,a2d176dc,7443342b,3812052f,c2ae183,c8c3aa0e,662c549d,e225ed92,a1d91ee4,2f191b55,f15c9aca,fc379519,ab0507d2,df2019c2,369ae46b),
+S(6e99db31,e3f54cb7,cc6e8640,dfc62b01,471ca8d6,35d788a8,e6d0c79f,8de9efa7,176e8bab,4340883a,8380b53b,1e981376,d7f3535d,41429177,bb3a0187,3cf78d6e),
+S(ccb520f3,2c671c00,56cfe1fa,17eab66e,7744b2d7,9b5919b4,47a55ef9,bed0d96b,b8a3016c,fa65d9c8,23671498,46379fe9,2f4e74e9,6487420c,38494701,efd9c809),
+S(c5e531d5,49e65f4,254541cc,84bfd39d,2279d7c7,98abefc8,cc2cbc17,2e6ca6,4e1c664b,8bec2ecd,7d56db93,66f6a582,2fc70bb6,70c4d3c1,90b76bd4,9a825995),
+S(a132f569,c7cab520,d127fd99,9c06d4e6,4a7fa953,9711e1bd,9eea72f6,78430c7f,a81cbf89,b67534a2,4f5ee9ef,8bf5d134,90f73f78,63b3964a,8a81b5af,e44fe664),
+S(59242d2b,9279ac93,4a7c99d7,dba4e033,7ba5b199,29a6fa2c,24766c20,71b3c5b3,8824c16f,71126e9d,6bb56bef,7c5e37c6,760c70db,de4b7dc9,e29afbd0,a8d09b42),
+S(a8cb72b3,2435a4b5,5687ed9f,bbdd2860,9e96ddad,dfb7c44,d49f528a,f8ba5f57,e8ea8408,eca95aed,f2a6509f,663956e8,e7ced42d,12900677,c86a4b86,ec0b40e4),
+S(58888104,903c52df,fd26b72d,4671642e,c06b2efa,44ebb727,e6ca2d1d,616d12af,387e465c,9559e35a,124d6501,715e295a,3d95668b,35335db8,678e48ab,7fe0ff1d),
+S(6cddcea5,a0bb7220,f206cbc3,b6ac999d,47f0d2d,728038fc,3b86fa8,61f4069f,724dc303,13aed0f1,ecee0d8,f696c1ae,d00ccd02,90df311b,8611ae43,3664b31d),
+S(283557b9,3698a99d,c64643f3,d302454,841eff33,dc110d24,a00467fa,1d9064cd,715b038e,1147a84,8ad45111,8eeea2d2,66cfdad2,e829932c,fce6872e,a99c2486),
+S(3f88dd31,95aa10f8,fba82e6d,9d26cf4f,f2ca855b,75bab7d1,c1305654,ccdc8cd9,99ee6e45,76a0773,a8e0a241,a40b073d,78f98b03,33292f75,650a7eb8,bf55fc88),
+S(4f0d20cc,acaa4fdc,972e40d1,90ccfb52,c635c438,353d2fd3,47ea675,ad966fff,ab378bf9,c5560914,e5c423d6,f28ee794,eccd664b,fa78a18e,b8f096e9,c7c68bae),
+S(4c4f2110,8d32ad06,d60eccbd,238495e,268d2545,bfc5f17f,cdf7a1ca,37c96639,7edf3b15,346f21ec,b3a271a4,bf70813e,c9a4e4db,169b6f36,1d5d48c3,16d7594b),
+S(1ba8777b,218e104e,c0908ea,b9ca48d,9145b8c2,a3a0b6ff,95146883,3077f40e,dd385247,7de05b80,6df645a7,646b1c32,90f78fc9,4eab711b,433c915e,462c52fb),
+S(4cda5560,ef56756c,f73fdfbf,3799e8a1,f744f497,bab91815,eddbba86,b404e33e,92e1efd3,eedd500c,f4668d78,f4283cf7,eecd6c6e,979980a2,ac8389c0,779862c6),
+S(ffd11b85,884b2330,e21d2077,336fd518,a337a931,15fcf6d5,d843b002,dd225ea2,6ab2c275,4d0e514c,bdbc6e24,f3e2f019,8b73b3ee,d267224a,705e0421,4f449d60),
+S(fe4a2c46,15b9b000,d871bc7c,af5e6672,a574a165,e544b8d8,bba978ba,ac80bfca,cd15b01c,1ac4e6b1,25b00112,c04d20fe,3afcd997,541f3955,ad60030e,413cb650),
+S(c070d79e,dea4a095,a054e026,1c748411,19b7280f,d5cc922b,c2b092a1,f211257d,f7b93b3a,4fdc7bf6,d90ba7c9,56831153,7948d110,a9cff253,f783f075,6c569e90),
+S(7820e29b,8a7615ef,44f0639a,2924958a,4b132f73,9e67d58f,ed93f540,934df025,cbbd3f25,b03c0542,5109d5c7,5a409a18,7c117e73,4ba624,3ae7e085,322df8a2),
+S(12b4cc3a,ca603277,32fa5c6d,4ffe02b5,eed489c3,9ea67f67,fac3ad66,a20309c9,9ed214d1,4217b11d,324a1c6b,d6edec3f,6dddbe48,2e238376,d3b74a0c,12de2695),
+S(bacc8392,e6770551,38b13942,ce2412cf,6e22f959,9f8bd91b,d4855234,d0972261,91263e47,63785808,6c645df6,9b36a64a,8c6a07ab,fdf28a88,6893cb91,4c5428a0),
+S(8bf48d87,419b4741,e461ad8,650f2e5e,c93c1e42,cd75e307,c60e8655,8560d576,c38c0513,88d64e1,cb9f430b,5357ce64,c4aa4379,3494485c,4c23e07,dda82bef),
+S(c6217853,f15a6675,aab3b7e5,703ff725,eaf68bf0,60dd45dc,c2c209b5,b6255d22,3b5e1d4a,3b04bc6c,665e4ad1,a3a7587,b53f5fce,6db4aba,bcd01f3a,53b342af),
+S(ff04846d,7a1309a2,5bcc043b,3a129275,1c5659da,e1377bff,f0a4f52f,78d57c03,5906a77c,f9c5116e,b2bcfbb2,330f12a0,277b211,7605020b,218af50a,b50a8eb9),
+S(9d6031d0,7a4005ca,5badc057,34171110,341aa446,37bd5260,9e3c052c,a7833a3d,c505366e,18f920ee,382b6d0,5c71641a,9164c7a7,685bbdd8,6159d981,6990d5e7),
+S(328fc8fb,4cfe884a,d6f8807f,5af7f09b,852cdb4a,8d12d6e9,e0a83e62,ef124cd4,ccb846d5,9e5ebc6a,5f753bcf,91ff3e4e,917afd7b,ef3ec9e0,81c302f7,d0302523),
+S(6d15ad00,8a21f27a,50545edf,f6259ffc,50b7b42f,6b66daa8,274ccd4f,9968d758,44cf472a,6a9a5bdb,bebc470d,33936503,2823d19b,62f59c50,880443aa,bac08782),
+S(a406569a,df5772a6,e881b5de,48a4240e,680b7e48,6487b3f0,6bc10a62,f930154,5378b0d2,df6a717e,b90a9d48,aa9728bc,5fa45468,c997a990,f51aa988,67bf6d5e),
+S(a481763,b51b1851,c99f906e,280e425b,833ed883,14b8f84b,ecf5661a,369d345a,95088d19,330668b6,44bd68cc,a7048e4e,da96fa6a,365c1279,47eca0d6,29fb338e),
+S(5600b96a,6e0056a5,12160020,7115b198,8ff3fb06,538d6580,f3ba0b57,a9490fe0,a09d1644,f0d14ad1,73b117ea,cfe1f992,2bec2bb0,a8f92f8e,4588e985,4566f88d),
+S(95e9d301,fea78bf6,fdd7210,16c7b890,fdf22b85,54870d4a,520756ec,b8d56414,dc2df8b2,6edf5d4d,faf1291,cf2fa41c,d26090a7,499bf36e,a7c5ffee,bf404236),
+S(a154b8fa,adc62ff2,ef26641e,4467cb6f,3506662b,8e452518,1832d6f9,145d00d,2cd50f3c,62a43b4a,9bc0c6d8,72efbcb0,c8407e82,39d69ed,40ad56c9,ae3ca73c),
+S(f5f28107,77bc1bb3,10c02f60,88a2252d,ac3c3855,78909551,c4602b84,fbeab69a,c23e586c,731e84c6,5a5a0f19,308fce27,ba3fedbd,3980cad0,389e9ede,c1fe6c6b),
+S(64be52da,6082fd6b,9f909950,d8887a73,f614cb5a,8e867fdb,3768a0a4,a958c699,4f6792f6,f65ee798,77ca9ddd,3bd4dbf3,3675f059,6d5cfb85,bbd8070e,6f29031b),
+S(26d9c5c4,1803962a,f242b042,2fa73750,12c91a17,b6848ab5,af4e9335,43bc8388,f6703950,633edc7a,482f9651,9b638fb0,337b7bb4,dbe6ad24,6a47294c,7f26896a),
+S(c1efc973,50a488e8,467d1fd9,ac679eb2,ba011aea,412d7857,e3d2cc0c,19dd2395,c58649ca,c665691f,2fdfdb68,49ef2ac3,4d0bfdce,3927ff52,7a9e3d41,3d8b57fc),
+S(dfcc4a7e,5a0ccc7c,f0f76c4c,fa92f075,791a2b05,92f25384,72256905,c08ad084,de18f9bb,28b017aa,474296e4,8ca2765c,8c4eab13,bb4815f,744694e7,697d1618),
+S(a44e0a8f,9591b5ab,a051559b,b64ac3d1,ff8177b3,790103b8,db7e4597,6fa991dc,61c41b5e,30cbc23d,e632808c,76bec591,9ad4f050,251e9355,80d9e14d,7116a878),
+S(5f094928,fa4652a3,616fc7c0,25b6e244,37d02298,1b2611c6,51265578,daca0cbf,e6599733,a9d0e424,43d3effd,7993510f,15a5369f,6d4521f5,72a85f9b,db7699cd),
+S(f9b59ee6,86af9c75,5bb9a4e0,8b15c93c,a787497,ae30a437,bac76831,6f57a535,77f0686a,2ff851a0,e94f28a2,57f05cb0,fe6cc480,39789850,e3f2c7f8,c03f5836),
+S(f81d0108,f446165e,46460e5e,5c89d66f,f2dc8528,f19191e3,e75e5d9b,105c0a82,daaf0ce9,7b104214,942efc9d,ab807966,e321dab,d757649b,c1e294fe,4146a6dc),
+S(fdafb234,9f9f169e,aac0d2b1,9fa4e2ee,a60ca31,3c544e39,246732c5,61e6d8b7,2b7038f4,9497fc7e,3e73bc8,dd262dd6,9ddefb45,f2bab8c0,770a5515,a5ab1097),
+S(bec0f91,eeba7855,9df639aa,6a46201d,9ce07885,85be6bd6,1594c722,79586935,bff92e25,93b8cb1b,a80bf5ca,da923777,56cc1d41,92011377,4f73d461,8b2ad402),
+S(41d616f,b05d2050,6a8303ec,e130c5d8,6d27322c,552a248f,2c0dfcc7,1006fc74,1f121fc3,55b81e7e,43523765,80cc3c41,d50e09fe,18dbc40d,a1c75732,5884c42c),
+S(e483af0b,fd8affa,423005f8,3d25933f,d2a0c79a,3d020523,5fbae421,51dc626b,31895405,c1d359cc,9b0e5170,b93773d7,39d32681,de3aa9d6,ee635e9d,28abc9a0),
+S(65afd96,3c02dd8c,f09867bf,7eadf306,b9dc6146,5b45e138,e20b0a07,570157c5,1034ac39,8fd3318f,44823b33,a140e57b,db8f9cdd,ace4fd8b,33967abd,304e56bd),
+S(71aeec22,61b38f9d,1148bc27,7653b51b,7fe98d61,bb3c33fc,b417653d,fb7ac3b6,8344e611,348f222a,cb3c3e12,6a9dc0db,5375d4fa,c1cef432,6008e601,ba2e8c78),
+S(ce4a2466,34fb2994,e0af9fc5,a5e8c612,acc30331,81534c0a,640d5fd9,c9b9d208,ca006505,98096923,9973c2b1,c82c6ff9,848232bb,81851f33,cc773721,a97ad669),
+S(2bcbcbee,977d3ba,74c81f1a,b1c6eba1,3cc5e48,fa8d9623,35b8ae4c,84fac6f3,bf89907a,8ec4a9c0,44aa6f40,be9e2bf4,a100a64d,3d046c7a,416c9f8f,151db3fe),
+S(a745a5c8,3c8fb696,4552ab95,df609910,46074f8,e7381440,e565464,6fb7480c,9b1494bc,ed6598dd,958ffe63,8fb3c73a,d773407a,372db5d8,3504197b,79f3751b),
+S(9e0a17e0,33391d78,d168760c,3a31e3ae,f1cbfea,6e13f848,be89b691,11330dae,29bb981c,388aef6d,60461505,53e81a4b,98464956,a69c9494,efd62227,6e0cb5fa),
+S(986ffa05,749bb4f8,3a1a76a9,3b972776,e98f87ff,fc66343e,965345a8,608e4411,daf77d3d,5bf42c92,c51f96ce,e78c1436,50cde8d0,11458939,833387ec,993775c9),
+S(62720ce,5863fca0,c4723eeb,9f80600f,9a751974,f3c22c61,4bd8ad01,e92234b,f7f18595,97529732,e497344,b7ebb71c,ce51125,78b0bd68,8f2f6b9e,726f7d3d),
+S(e60ece6e,c7745cfe,69a17710,c473fb69,9fd6ba1f,1af4493f,2926684,c9740ed,50d14444,a9092465,93dd08d8,3b8df343,5ff98525,907f04bb,343ac295,d8823836),
+S(159be1b0,f7579ff1,ae272047,a1c8a9af,2c38354,1ab19a6c,ef7396fb,4c5351f,2ca76b1,a87755df,61682152,d0379ba9,3054049,1f91f57d,1ee1e081,602aa289),
+S(79c9c14d,1997643b,44eb981e,1b89a7ff,a6511b81,9539d1eb,ef5dd46f,4c6fb033,2b9b88c0,3dd3e006,638edeb7,1560343c,1a9dff51,b12c891d,dda7f67d,140f1ec0),
+S(610f1c50,8012918f,d60ca30,13369bcf,c4bfd56f,abfe39cb,2206e5dd,59827150,85f62af7,722b89e7,6de3ab17,368615c2,9ce6980,4c397580,d48f6f12,5bfbf022),
+S(ee26f4b9,9a2285b4,80bde15d,83dd201c,24dfa7,b8be93a,c7ea3bbb,9e46bd88,129379bd,2daa2b99,906b2643,90eecfd9,78b033a0,fc550fe3,b41e1c9c,97671b1e),
+S(b9b51c7f,2bae970f,2acc2d8b,fa88b9b2,15ad5289,b92d1f04,92c44804,7e3ca7cb,c5242210,e779cf4f,1f06e9b4,ec92ae71,9a08805c,a16689fc,15b01ee8,d3585a64),
+S(1e7530f,dfa5dbd0,7ecbf05e,4c8fc7f2,a44bd3eb,ddc01d27,d83dd25c,c5d9e136,7857a6f6,6d7027fb,b602d8ff,f63ffe5,bae66c9e,ef23b198,bf65e7e8,3fc66d70),
+S(f498545a,1008241b,d815e282,d3fd807d,ec8f331c,83669c34,ba126814,56f22037,998291ad,71473cd5,37ce4f16,7bfef603,c144df31,31769e3b,8f5a89c3,a3274584),
+S(cba20c40,5a4297b8,2a6b7756,8512c2e4,26e67465,c420e109,b506a37a,9a177d12,81fc17cc,d2363087,ec9c61cd,7b3bd9d,580e280b,354fff37,b43e2ef8,78c338a2),
+S(ad4522e7,87c3436b,3406f8c9,3d7f01ed,92c4d319,11644cbc,41c9e103,e8813041,6dea578b,a468d78d,478f3e6f,6233b227,686fe0f8,19ee352a,cab182a4,ec2307cf),
+S(e60c27ec,f8dddf6,27ef1c4,e4f84fef,ec2825a1,c57d8a68,dd1283c8,4bc5547a,a807871f,f74ceef0,f647bed6,fe8c2182,e9581f35,465b9c1e,445806c3,428d98b2),
+S(9aa982f,b4fa514e,c8f5e08f,447883f1,e49c720,58b6d1a1,d3c3c12f,acb22a64,20886051,e999d3c,f51206a3,165690cf,9d86367f,cea7491,599ba8c1,36ffb70b),
+S(607de32b,6c74e540,55de8743,150e931c,6234d65,991e4630,d3e854d,34ff1469,f58fe81d,4f583242,7e8a481a,8b51bc5e,b379ee2,15888e13,fbc770d1,9421b5f4),
+S(f980f137,30c560fb,bb4f6db4,c6de3516,2063a618,e1708e27,2f19b23e,af0f3b03,5b7842b0,3ea2cc6b,4d640ace,f6721fec,afefe70a,3729785b,6c2619d0,5162d5cc),
+S(c85ae74c,7fdecb1b,52287522,d3c51a3c,4711711,82d089db,1a01e117,706da488,58f96a54,8b03a13a,d15fa656,e67bdee4,ac1ab1bb,d3b91b97,dd35cedc,96d315be),
+S(4bb491bb,c05786fb,ad1d2081,2d23529e,5bdc2846,a344f44e,9b914f30,93cc347a,6cdefe1e,abb3ce02,bd3c4c7c,9b384ec8,701d36cf,643e99d2,5c4163b2,a35cdf04),
+S(c1eed40e,ff0e2b5,c58ed098,feaa9ff2,7b9e96d7,ddefc1b2,53aaa2ff,ae450542,eb9b0434,e62e2ff9,10ba0dab,8074c85f,9a3bafd1,e6ed1ddb,e158edaa,3b5bfd51),
+S(4bef4127,d6566ba9,33881d05,55fdf018,3c47772c,822dbc63,3e6fa336,d06e1c41,1c163ba4,9bcfdcfe,a99702d2,d9bd19db,bfa67409,f4d3777,531beefb,68ec5e3f),
+S(3268e230,6eb8d65b,a528db9e,fbc05d6a,1ff35ec9,d4f0bc57,700610d,c9ea902d,126d5546,12de71f,93be584d,38fdb65e,7deccb12,9a5e4e81,b12746a9,cae2cb2e),
+S(c4dbf5f8,7b30af00,ee576ad8,3c20f079,cac5eab0,3faf5df7,4d72d9cb,2226861a,badcd32a,d809ae9,7942bfac,a00be66c,80c6c1b8,4b8c7dfe,2473bb53,5bb4e625),
+S(8c919ec9,22d79e15,4f1f63b3,5f04db1a,aac7fd2f,911e75c8,b7918baa,a13914ba,dda36a1e,5ada8eac,4aaa28d,6f0285cd,d0011fd5,c46b0e09,1d8dbb77,8b0deee2),
+S(1d8b86c1,70366e16,d3c33bb8,247bbf09,cd04fac2,3d9d3b6b,d0fac9aa,3274efa6,ee9196b8,dd6a3e74,697e8834,5f9575c0,80601ba9,d02b9583,260caf8,e342fd3f),
+S(ed400eae,debff33f,922353f2,323788c5,29c933b0,e269c091,3f84986b,6e4c564a,35bb3b89,8427ee01,df168a7d,6be85ae0,71c45003,df37b369,2c52499c,85669874),
+S(11e79bc0,1c5472e3,3325e3c0,606b6f46,defbf951,2ffdf9dc,8b59294e,e7c03057,e3a588ea,ad8da56,47d42b0c,f314ee96,dc900c9b,5d7fe6e8,a38298f,84812c5b),
+S(24a18d50,18273c95,aac1dec9,6d443b92,b980b7d7,d88ef70a,f4b728f,ee718b82,c7bc851d,3e0200ce,16dcf3a2,15bd5322,d9057c9b,df00fc1c,1b0f63ec,fe231826),
+S(8349d4a2,fd0937da,1c85e03,c56f01b6,4c0422f6,bdf90415,d9c4ea7e,2bb5873,1557cc42,fb57f4fd,4de5fde7,e4655cb7,fa42452e,1664b328,425bfab7,63ba891b),
+S(515c3896,cdf651aa,99e6099e,2d07f0c9,df039a30,c820c6fd,1665b70e,16fb6e07,2001400b,48447b12,391cd2f7,497e1f57,c948e093,6b981cbb,4a414adb,ac928ca5),
+S(91251dd4,5a829e00,4c17cbfc,3238de56,c16e8d37,46536392,d5d05134,3cc12279,21748cf4,95c962cf,d28958cd,306536c1,84f8b822,7cc4dfb3,4a8f370,316cabae),
+S(659f2b85,6db07ff8,1f10c48f,356acead,cbeeb169,5022f3aa,1e9920b7,896fe684,b7ef27c4,615ae55a,aa576c7,c92bb571,1dcabcff,1bb05c82,359ec59d,a34f53a3),
+S(b82012f0,8c209d40,ad21a839,797cac55,728805c6,f139ad02,893cb9e7,3fd334d,76c80c95,ab38d674,715a6f6e,24978fe,5dbc08f3,530a4a44,904226e4,cbe8a808),
+S(e6e4fb7e,8e7a946,62ba3dcf,1802903c,fc2cd961,634311a5,dcceb49d,9277e80b,93dcfc61,127c2afc,76a6e097,9033db34,51a95413,a07bed1e,9548d435,88e68add),
+S(1e717f27,98ca7da1,268d6bc9,97c01261,6263a807,3874505f,5fad1adc,a56ade71,3093703b,69edc134,20907623,70572119,ff0e9729,a22689dc,8e421ac3,52f4a3ff),
+S(8d6c2b05,ea5b29d4,b02706d2,40a989ae,2c3c8b02,c31cfb88,6453cdf1,c33bbcf3,1e27c8a7,25bba645,48236dff,79370ae6,2949c58d,37eac4af,e5977a93,e5ea9394),
+S(ef9d932f,d19aa7df,89e6e21e,542bc530,28937f47,7029ff26,45582736,6f207c46,b45714aa,d344a62c,c9348d78,ed4f0684,7424718,784e8ee3,d9b1f857,4758fd29),
+S(34932c61,bdd68dac,7957c957,2d4881fe,9e5933fe,65e6c3d5,6f74f7b0,2bd152e7,fd963edc,eb7607ad,a47f716,a5e8564,797c9862,14a1df3a,c6c3e502,86e75fda),
+S(ba182aab,ad4a9b4f,3ee47796,3e8c0233,9b416f42,6b4403bd,6087ef5a,f4ad7a5b,178fc05a,35ada525,943ed04b,fa7b10cf,c69f9edb,63dbc72e,5bf8303f,97626792),
+S(a5eb1644,c585ede2,59297d94,4ed41664,a4f95c78,239344f0,e6a66020,467e41c6,b04cc4e9,20e643cf,ba8b8dc1,5e4b76bb,575cf1dc,d05a8016,85211ed1,6a98bd20),
+S(59ba1e2b,40959a57,a0b41dc2,f7ef4520,6dce83bd,da582f57,e03338ce,cae060c0,2c92f4af,ee3dfed8,3a910194,e548fa54,d4f07bb8,90386017,7394d707,4a979aaa),
+S(3f0ff5c7,dacb5106,782f6527,ca891038,da40fe10,7866e49d,106ce243,3b88c962,3f02265f,4dabeb7d,18618e1d,a97700b9,f416e34b,e93da65d,1969eee5,baeb9dc1),
+S(4d767b01,8160b297,3cf4152,110ef381,453dcb5e,30af00d9,5bf79971,6656f41,b2c8dbdf,fae8b792,d3a89c51,fd841fac,108e443d,e50376a0,9b4686a0,e03716eb),
+S(b3a13e43,1451f086,c6ada2b5,dc38b059,73e014d2,bdb42157,88046d32,efb7cf74,2a0e4560,4cb507c8,6d6e6,686e9b2,9aece6ae,3fb5d3b,7f5f01ad,a8a65493),
+S(cd90b032,a7ecd8c3,f1f2bcba,a523feb1,3790cb6b,1573cb0b,1e468417,e52236de,6ff50c7d,354a3008,7907d056,fdb0a4bd,2c34b649,f0f486b5,a366a60b,7d01043),
+S(5d12d03e,cef954b,a35e82d0,918cc576,cc8713d5,e77631ab,ab79a0d0,a428fb04,bdfa4678,77f9a637,7bb86a8c,b36d886c,fe09659e,887ee49b,2018720f,6ee35d89),
+S(2dc4f368,62d4ff1a,11246119,81a09c25,ecad53d2,e34fbe1,b708695d,7dfcb380,5aca4c06,e92c9327,8d5e29b2,e7af1e5e,f71ac624,ad1977f8,396dd6cb,b676efef),
+S(5f1c640f,aae3885a,af679e2d,a3a73b4d,68c3b64b,e7321aa,ec0e802a,66262d54,704c3b72,eacbda85,f425cb4a,6e6632b3,e65963a8,7b26ed9d,770f3a7,81941c90),
+S(8cd7d6fc,522eb467,3a366222,5157ce21,805f7f40,3fc2810a,a7678242,3559f2d1,397ddb0b,d0dfddac,bdf8826a,12666f70,d8ad9fe7,f96f040a,fe55e265,bef932f4),
+S(b635c8ed,9b7b1858,86c5f75a,d524e877,c4f2cc11,a3ea63b3,7140b044,fb50e692,6c61f48e,a0cc779d,cf746f4d,7b6dcb6f,ca562bb8,5fe244ed,244e720a,648ac131),
+S(e0edc56e,e22db179,fb5203aa,2aedb0f3,9f8cd83e,6a1f7449,e33a317e,97b29dab,d3b29f04,818245cd,eb6b3661,8d6c5e3b,384da6a8,aaa60818,ad56cb95,1ecb59a7),
+S(f261ce,b12747ce,1b529cac,1d607525,5d48f813,4d1730,32735be6,72db7df8,6c72a777,69cd260b,b78c912,f0bf461a,4d059704,7c1de47a,23a2421d,ba26caed),
+S(b6154355,f2b11b93,b69924b5,b450b026,ae63ba72,777c82b5,99d1d0a0,cab223f0,59fb58be,3295345d,abdeb091,8e93d412,c3c5bb1c,b7527ed4,adae9e72,1b4aca0a),
+S(74cc74a5,aa36ad6d,42f82135,908b9414,2842819f,9f7b5c89,d2337ebf,af11751f,df890e41,b3253de2,c594c78,18ff0c7f,6637a8f,fd0e13c9,21a512dc,35fb8022),
+S(227bf422,28b51fc7,9d090902,a842e78b,a7138a2c,666459d0,16061c08,d6947e82,1abddc56,c5fe3211,7783b52,68f5629c,7ef2a463,40af1fa6,f4edd22f,c9ac684f),
+S(31a79a7c,3f1478bb,88ccf5e1,3a220685,845c390c,378c02ba,ddf099b7,7a2905df,a04ad9ec,4b5693be,7aeaf419,2f5c28ab,6ea03c2e,8db116de,7eb055a0,6c6f4a6e),
+S(d1b1f29c,bdf6d9db,3d73f74c,df7dd879,14e00b0d,de6c9733,cf7c497a,a355176e,82c6aa29,4caaf404,a5411644,fdb115c2,3c6525ef,f4dcdc90,53d0eff5,6addb107),
+S(57bc432c,9fba6e62,35ace8da,4e44721c,a87b44fd,fcb7bebf,610275b8,49b4031a,a75f94ad,19e9a3a3,a0395f4c,403114ee,aa12553e,e168a80d,6610147a,f5c3152),
+S(a7c2839b,1c0b8975,2b85211a,e7532018,ebe5f0d2,fee8f053,e6666a9f,9449ab7e,cd2892ed,2bb40ea7,656492d8,40386e97,86919d81,dba6497f,e6f81e9f,ec8b2160),
+S(909c4cfd,e85e5958,9384bd4b,6f780b6b,bde85dcb,fe36d8f9,a3f26a93,4c88ee15,f78b72da,b2531fcf,ea9cd085,c17b4375,4263ede6,8dabbaa8,6ecab23c,9475ecba),
+S(cb98a258,98e877fa,3ec0d9b6,a1e6dd7e,477b8f7b,716c97b3,1e48709f,de7a3d15,ba6fb66d,502143bb,cc54472e,df00389c,998c8274,cbe8f997,66c90d67,bcc5fd1b),
+S(bf5bc69e,81d7b4aa,e4137ab2,6b701fad,a86c6d1d,fd163e6c,4e57844f,3b55e84b,c87360c7,406eecc5,51697719,4eaa7102,1de0afdb,3198a9c1,9253975f,970df761),
+S(2457fbbc,767f4fdb,2b5f6194,ca8cdfb6,fd1da59,19e2314c,d809e2e8,6913424a,910877a2,f7707fc6,7b9d3bd7,6408f162,f04c826c,cda46652,cc54415c,30d77518),
+S(625e48ad,44703721,c1934642,d72b6989,94550c74,44589f46,33ea8580,e4c20d5c,ef31188d,c127c8b3,67c6b981,241d8627,5125bbc0,dbf46261,4f9b5fd,a54914f1),
+S(3d4f45d0,8a28cb71,aafda05c,50a7f534,5b007f6e,ceeeac7,20cadd68,c04748bf,932ceed2,ae007aa3,469323de,fd7e7dc6,deb77872,85e48e79,bfc21cb9,a7bb8397),
+S(49f9290a,55e6c9fd,ffe96742,43198574,d81c5b82,1148e5b4,339d7877,ea070de3,f7e61b91,ce217ba2,bd387b4b,8c01e956,3ff155e1,4c8bf553,7ebd16bf,b48cb0be),
+S(feffa5b7,78a277de,ae68ff40,9c00b7d4,d6b78b57,b71ac08,f43a5e92,35ce62ac,b90defad,a94dc21b,ce8e7580,dc79073,b4152c6b,441da59b,d904cf6,76219d8a),
+S(7b42826,344499b4,5fe3cb54,b8391820,54166846,7806a48a,6221c88c,b0831099,68c5e981,4889f320,cd2818cd,5443063a,4f85429a,5e335f5c,e4731a59,da2ccefc),
+S(a2bb3900,e42c4bf4,91aee9a0,bf73bee9,c73a2245,a94e40eb,2f02a32c,760fd29c,6eea2aaa,ef457edc,357c3b54,547ff6b0,8e12f076,2d8a368d,7a9e65d2,d122b65d),
+S(ecbf9e55,3bd020a8,196e0b6e,63e8f568,a60bed0,5fb7dfb7,7af48065,ed4c838b,e2be7677,9e7a57c4,3961af37,aeb7a8f1,80070633,617800ec,a407cb5,3ab63313),
+S(9d2ad029,2217200c,e3a22d2,62cbc071,9e5fead,6683ed43,8594250b,44e60b3d,7addb679,81dc9504,8b2d98b8,6a4ea72f,faeb5185,f804514d,cd18888e,77acc88f),
+S(8cae4651,91c4432c,9c6abb61,438b06e3,d3277b61,177917bd,8fd024b3,353d413b,5615256e,793c6b8f,d96930f6,96d0aedf,4320104f,fe3c7a3b,c7025232,9a10b1d6),
+S(2151ca1a,c8b07208,2f765333,42ef886,4a7c9d95,f23e1074,9fc3ff85,bece3336,3a27fdf0,97569b0,52dce8ba,7f22d2e1,325b06b7,ada607d0,7241ad7c,4282e4d9),
+S(f6d4679a,a02e074e,3f0ca3a7,95cf91d6,de2b9cdb,d0bbc86a,8e2d14e5,cb4a8908,eb16065b,ab9cbd11,2f30440a,d4540ce8,eb043035,a653e4c3,c8531375,81965fd5),
+S(8f8a299b,ade7c13a,2b6ba6b6,f7aedaaf,c36a31c7,bb9c49a,43778c64,b72be2f7,8371703c,b338cad9,acd6db9d,6a840bc1,4bb65328,793ac715,55743a90,f053cf1b),
+S(9310f8b4,73347c50,32840e4d,6cb2eea1,a334dc03,b1ac2364,cc0bcf95,e0bb21ac,134d020d,6c2b528f,6e96a9f6,6feddd58,1f4f0ff5,50673620,cac44f57,de0c36c5),
+S(a4dfe64b,5f55c497,ec42842a,d2bce748,18f9ae70,cfa521de,255487f5,6d51685b,20b5c707,d8bca7f1,b5d29b42,c6eeb116,6c96eeb2,4201fcb,352e82c7,663164b1),
+S(2b880bf6,9a83cf4d,c6138225,733f51d5,ce5b6a12,95b98bfd,e2929b6a,ee5d3863,c21b7e23,b84dfd91,eadf0b14,9649fc10,872c39c7,13b80b81,1d989673,6492a870),
+S(300f1400,fad4b0cc,b20fe64d,d9b50202,1105edec,f0bfb8d7,7a1c9f70,73ce546d,166d9e75,ea9a6b8b,cfea2f18,bdf4110,664ffcc8,be29b91f,80d92907,e322a546),
+S(7bf49311,d51f9499,6511d0a,70f65466,aaf6cb24,1666b76a,4e821e03,e47cba37,ef25f85f,6dfefb08,c367eef0,c8433f6,8a775f00,464c4f6d,dc3fcc49,7d6189bd),
+S(b20cddfd,6f4c3b4a,d9b9ee4a,353d0ed9,9163cb55,83bb526f,63ed9d53,9359249d,b38097ca,9e0203ad,3214819b,b8f4cf79,afe6ac29,cb33c670,2f3cd462,d635ed12),
+S(98296e3,83c9984a,b9c06a3b,2daafeb7,32696ecb,af1fdb8,b1d94df5,9149ff2e,fe25c8d8,a72b6b0,17ce8c63,31c3cf1d,dff0ff98,e2db364e,7ce3e642,d3ff7843),
+S(ae3c27b0,e32887e6,568abdc0,711409b2,2030dc6,2bb9a2e9,739b5edb,fe4b1a1b,a8513f4b,57f9dc76,5feec2f0,1d7d3ba1,235387b9,132303f4,54fdbaa1,d04fdd73),
+S(e0afc1dc,ead8b23d,5956639,5d312ce6,36716e03,e39f3cef,d2d9a5c9,f959dca9,a3a1e6bb,b7fc2373,76484862,e15d89df,8a617e56,b2d61f18,3b79e7d3,d2fd5223),
+S(526bc9c6,798711f5,461862f,817b94a3,d66f30a7,bc2aaae6,1da54b76,69004cf1,542349a9,7ace4d08,1022da51,ca2c412f,7c0cc951,62d0c1ef,22d04191,18643b95),
+S(dd2a8d3c,8f8bff64,f5acf9fd,6b0d613e,9b149bf9,7c26fd29,41b0c2be,b5419450,6e88162f,acac6dfd,5174d61d,2aa755a4,cd73c440,4b5a83bf,bb79aedd,b7213cd0),
+S(d76bccc2,f4079bb7,dbd605ef,ec78a6d5,f3e8c655,c9b38f07,dbff4013,6d80faeb,8776727f,5caa4d38,ba1a3ea0,4a01ede6,5098e470,914806a5,1889399e,c0daa412),
+S(afd6332f,27f0bd9a,ea917732,8bf60bfa,4b80f3b5,82319e26,c0fdb22b,dc4b9faf,9595fb29,a8f6df8e,f0b93ace,8f92bee6,f36edc,60b19d6c,968d4177,6582aa52),
+S(fb3a199e,1d5f3237,79afbd79,246c465b,98823ca,2851b64e,79aeb1fd,8f90d920,bfea973f,41bf4aa2,f1cc94ac,58e00da9,e4fe46f4,e1d0bd0d,183b8e84,87a959),
+S(c4fd8c80,1ef65e97,614bddd9,ef5aac03,3023f7f,1ebfd7be,27f3c4e1,60b14097,2689b9d4,e244e9c7,64b783af,ce2ec314,8ece5372,76c122d2,2fa5d995,9ed94723),
+S(6e171334,b59b4989,e2ae6185,54f6c349,26fa1cb1,e7e8b064,61f8535d,cf8f69bc,8064d981,17637f61,72daa8bb,c4604068,624bb0f4,9555f73b,beea8ac2,77e2b54c),
+S(e1509f15,8688d157,973361de,6297142d,237535a7,a6b8f64c,c982393e,ff91d6d9,3087adbe,df20cb0c,488b1f61,f12b7e82,f6a36f8e,34a8c1ab,22d71261,d5c2c40d),
+S(1235ab12,23b4d47b,e3e5fc37,6b3986cb,941884a9,37d81e1f,991f3fa6,8e529a25,7dd787bf,f7cbb123,e814eeca,45435af1,e2f32c25,8a7081c6,b66088bb,8e560b44),
+S(9d70541b,e7995deb,7c9ae87a,b2f085d7,fb458494,f6c4845d,5c8c013f,a7d4a9d5,b1b6c09f,f12d7ed3,9c1af481,3ad135b4,dd0561c4,5a16d111,9bd696f3,e4cdb757),
+S(8649ad0c,d9fe1177,8651ed9e,3c2123f9,8ed3b0df,f0afa4ee,adab9fbc,85680dd4,cbb0f8d8,4bc474da,bd1a0b7c,d397e1f9,d9acd111,5847ea54,9018f290,9594fecf),
+S(fbae2b84,7685902f,b1473523,2b13f16a,c03d8366,32294d7a,6e214acf,8f8a4e1f,f3fa3a7e,d6cf4375,1f10050f,35a5252e,3c6a20fc,c3d8ef8c,cd393ba6,413f5fed),
+S(635dd021,ef74d3d6,762503f6,924c24a5,32c626d3,75ec0d9,279b0086,bff11281,d2eff50e,b28be98e,192dabc3,8b5a605a,639b665b,17fdfc3e,4f339aa0,33d971e0),
+S(99ee1d87,4c97c493,f8942a93,8bfbd578,63f8ddd6,387f716,3fd2a454,fd43bd99,81b96b6f,8d06086c,34407f7f,14e2ea21,2fab454f,131da461,7ca88bdd,4026278e),
+S(77447295,aa56c62e,d8722ce0,522c58e5,5356d40f,b657ed65,663499ff,289f757b,f60ac045,15811b93,837a0819,f59d6fa0,c1f709cd,2ab128c6,95716590,43373251),
+S(b006dc27,bcf879f,92b86d6b,ca0092a1,d848e98d,de52fb72,80081952,34857183,aba7308a,3686ec32,a0a2eac7,47f69f1d,74f9b7f1,60cdb4f2,f8eba9d6,2a9255),
+S(41680159,8de643ad,326c6e46,3bd51cac,8c52020b,feb7ca44,6a9c0820,c02cec4b,ad11cf30,5bf184a0,3965085e,42a95721,6a64d9d7,38d9cd09,1dc3a8bf,2ec3b65d),
+S(a4e68433,cb81a8c,148b8b3b,473dba7d,c9a1e44e,8e7d804a,519005ae,5c1b7d9c,89668932,7c597505,cd1f0e06,4273e574,85556724,3d257fcc,e0baa643,b38b15f3),
+S(3f9b53e,587b01bf,a04a685b,c7d30db7,4f0d748e,44eff028,19192e28,6bf49016,6b927f7a,910f0057,d19f4604,140c7aae,b81563b9,f4c54ac6,6427e50d,11309e81),
+S(6833273e,f2629ed1,d95ced8e,e776bcf4,24bc1a5d,284d54c7,d2c3b634,1ec209d3,25607f55,82f7bf1f,4ab5cc2e,c883ede9,8523b751,9d392230,5d98fa5,41e741b6),
+S(c7be699,289a091,3021e2b2,eee75322,8cd18703,cbfa7db3,d1d5f0ad,f6d506fd,e5d016f4,2932d594,ddf556d3,399ffd46,c0b677cb,8fd59340,234c9b7a,349cf213),
+S(6ef0d7f6,1803acfe,aa62b4e1,cf238e5f,398f0adf,228629b0,65e7c2c3,fa12e589,628336db,78881419,3026db69,2ed2aba8,ebbeda93,fb4f3903,bb8b2e8e,839eb7),
+S(ff83fd15,dca2a55d,2ecfdb97,83ca9595,fac1f440,4b1e96e6,dd3abf90,ac857e69,f061ce87,8640d2dc,5fa4428f,75ff93,14216b92,fc1ffc72,29931d8e,f51c494),
+S(f445bc67,47a3b7b0,fe56e4a2,db1aa71d,d042b6a,7b09cfe4,bb28c0f1,bc636587,a79a976b,7c857356,2d6131fb,e8476e13,6b6b0863,b8a464df,8e57da25,fcebedea),
+S(37f88df9,22775959,94f77586,72cd5894,71c468f2,e6d3e424,45404b16,ab7b9e76,509ebf24,7f83ca08,71fd94f4,b178310d,4fc62bcb,27b256de,22092893,ff3415e8),
+S(fc6ed464,1f548b62,a25062db,6b4c9d18,4d5b4b69,ec9fe4a4,db269646,331f6d12,cd384884,28427b19,4c77395,1373fa66,2ca1c771,2cf7b8a2,51c5049e,5d89bd27),
+S(675eaecc,5c441173,b405dcb6,256c95cc,70c6ae38,3ba69053,ac02539f,7b6df001,4c275003,664b1f98,98bde64a,6f1b366a,2856a30f,c39fc84b,b6f2d94d,8435c76d),
+S(81d9496b,3d892b9f,c4e0b98a,25c157e5,331d6d19,2a7b27f2,e52d2685,3b633395,4b9714a,e69680,649209da,eaa9734c,c611e98f,9bf19099,6f514022,aa2ef5fe),
+S(5c6760d7,dbe3dd8f,26bce0a3,a160c8e0,63de688c,e2227bd6,e890e45e,5205076a,f539524e,a8cb2036,bd6ad2b2,3738222d,fe38823,9f03ef10,dfb9d223,407ba175),
+S(6c47b5c2,889c17bb,e9f4c1d4,c930a975,6f74423f,7ae9105e,1dac216f,5aec8d3d,55eb547b,d3d60c79,c585b602,dd0f86cd,7d3895e5,b5bb3d13,a44b90c1,edd6c978),
+S(da9ab6b0,4a4d3b27,31130717,aeec1123,b21eec88,ae16d3a5,547c1acf,664a264c,87a44739,396a75a8,1f0c542d,2760a2db,944aa850,f61e2fd2,e44c840a,a222a193),
+S(cbfc9815,ae28411f,d7056e72,3a4d3fd3,a026d293,f8741154,d9db4ab6,a0147f41,71ed4ca1,e6702d7c,bdd28e8d,9fd41f6a,3879e88,dde652ef,9c639f13,f183d172),
+S(2629d332,e3e1ad22,35420ff8,f94d7775,f2385186,a0559166,2aec35f1,623ede43,8e9cccb7,bd6f76d9,d76f89e6,3d8ff895,306028ba,6bc4ddbd,de26f81b,3eb172d0),
+S(47ecfa1d,c1e01ed6,111e7ffe,fb44d552,e7a72e76,228914c7,72a80468,634edfc5,c7f3a761,3cc68070,7a1e9778,b0deec89,fc0cf226,14e16e84,4b661766,e6f6b6b),
+S(c9fbd01f,ef8da054,7e5f2fd9,c5bc59c5,3e3f191a,7abc3cf8,df5e7c07,ea2adcbd,ba3c6b49,b5b9fc1e,4f433f14,b1a98e5,e20d2448,7fb234f4,9384e610,2035196a),
+S(c179921f,24e2539c,9f90d7a0,37d8bce9,bc2741f9,4d7a78fa,a0212d66,f66a0d96,59b573b,9e9425b6,a0232e87,2d0998f2,b1815f68,a2c1ed5b,7bb5bcb2,b4d737d2),
+S(a37a89fa,5001ec92,9a93291e,8506c5f9,b669603f,eb3ee27b,5e487113,1ad82cf5,a208d652,6666e930,964ddde0,737c6af2,900b2f0b,5018d814,904e71e5,8f8a0e86),
+S(32323c29,2f98e042,abd15506,423514f5,4ea4070c,da493f93,10d1514c,a1895df6,ef273d5e,56e5ada7,2c872483,10180661,a0fd697b,5aad3faa,4cfd1915,fd749ff)},
+{S(6ae991de,18418b49,160194f,a735eb72,c299b987,1981a4f9,aa717ad2,bcdcf13,7ee8011a,40f384f2,e50add2d,97005173,2787cc7c,89dafb66,301bc94d,24b913f),
+S(6fe08b32,ab3b1553,14f229e1,138bb09,a3eb4f6d,6629e4b5,903e122e,7ac2917a,4e4e077e,76ab6d54,97c1fd8a,441772b4,36f350ae,ba1863ea,d1fdd05d,f80e6e78),
+S(f5ef51f9,13e10480,9a020bc5,37db3a90,3f3e3410,71bec65b,1cea5343,d43cf884,7ac5f6fc,a749b09e,9dafba18,c16bc969,e3d63971,195b92c0,fa8356ea,3419aba1),
+S(2e03f430,51968210,a7dc64b9,612b25e1,cdd167d7,f6e39466,9762ad15,571ad471,f063dbe1,3f537e48,1b249a5,67fbe709,ed80c68d,cf8d4e82,53038d90,e67f1de8),
+S(8244571a,ded2fff,1a4c9c1c,f3ea152b,d7852596,3e84b90d,6a3dd929,6e0ad9e5,ab14dd92,be3556b5,63cd396e,d8cb103d,cbacfd7,825faddb,1ebe6e3c,9a2e1180),
+S(5fa7cf3,ad236db9,db9df632,e7a172f5,fb5396f3,c4df9bdb,d557a3ac,68a97f46,3339f27a,7a6231d5,3e732557,9ab22f3b,49dc29e3,75e08289,b816e6eb,a3ff3128),
+S(5bcc702,f5f4a8dd,3f3dd519,371baa04,85b1284e,8bb539df,d8b89401,7206a943,5426221b,2e3fb26b,858a3f27,3d7b67cd,30b7c2b1,b881c285,cb29515e,59b92e8d),
+S(96a96f3,79c8dcc7,f87865e5,9023dc63,95224251,12d98ce9,59b610a6,eb7ef515,bd61d338,c84a70e3,545bd8f0,aa0113e7,93f25c8d,d78ec0b9,d5b98d9e,81e16e82),
+S(7e491776,5cfb89ff,edc43a8a,c998da5d,cab4bdcb,3b1d6f58,9def4de0,4b976609,7271e990,b7031b00,a990ae0c,86d893e9,915a84e8,d071a235,95054301,d0874199),
+S(f9b8be29,8b5cfcec,62e0777e,d916c7d1,371b4627,9d141280,fb8a2767,1af02c8e,c6bb3293,3e77471a,5157f009,58917cb9,4cf77b81,7dc1b2da,d465dd49,711b552b),
+S(9f1889b7,720ab815,e6a026e,67be852,980a9609,9e34d570,e1c2a2c8,55a2f54f,9786d89c,4fc1e09a,3bb81830,92df472b,5c1212f0,4ef05a27,dbe9d0a8,75d5e1f5),
+S(fc53a56,52d4c07f,3a4af93a,e88cb4ca,5db66818,ab2c874d,63fe59d5,eaeccd32,bdbd9a97,f57136da,8f8dba2d,f34e5d3e,e1dbf1d5,ef27f,11c2c45b,98ef2d38),
+S(96a3ced8,ba47f6dd,48a6b320,d88221a0,a5e36c5a,55938018,2dffd1d,3c3c4d00,ee4272ed,b244f95f,54b68c62,2e3d09,b96c7aac,fe77e9af,600a227e,8ec5299d),
+S(5d552446,cb8e1882,2aab5aae,676fb3ad,b44eab09,ce665918,6fa6ef31,6f081e9c,723cc3ea,2bb559d8,da986b40,263f5551,25127091,3dbea220,f79711ca,638f77fe),
+S(2bd7f7c4,8be5446,86e5a48a,d663345f,bebf198e,d7a6dcfb,da278054,f86d8e0b,584ba0a4,d2cf2664,e9d99d7d,a513b3a,5c06639,5fbc2edb,9259a51d,aa500e88),
+S(1caecfd6,26d39493,a2ae68ff,f7af4b05,2373e9e6,8461d254,f9b6d651,9e92ff6a,cfa0c927,ff9814cd,b2af3cf7,4ab5e514,70d70a66,9fe1f353,b0a92182,86bb183e),
+S(31ac3e18,ba88bbe9,21fd4834,f9f63ff7,aae351e1,61874ff4,2f8281e3,cd7cfbe9,61d0002c,110f2a2e,19c1b720,a85798e9,e8be1124,c68854f8,b73d6674,4cccd7a7),
+S(19bc479b,1637b2cb,2e700f3a,f06b4361,ba1f5d9,7d1e5099,6bbff88b,6dfdabf7,9a59b4c7,deb3ab08,fa5e9e02,4d8bfc2a,a35b15a4,6cd99a08,9fbb0f3a,8770d0dd),
+S(c1915003,caa74b8b,51576d17,de53e4bf,c5cc63bf,9c29f847,4981e180,a71fa0b6,cc93116e,500ceae,f045aad5,d9d7a863,392a3534,694d55bb,1aa69cd3,895c7819),
+S(ba105ccb,b1c32d83,a57eeda4,2a9bb748,d36370ad,805ba1d0,647bdc8a,1e84a968,76adb37e,53b8bf0e,368a1a87,9a74b6f1,33116144,47134766,27f2df12,602e6377),
+S(892f8edd,23341050,7540f11c,9f0ef107,99099081,dbf9e4eb,9bac01e4,94b8ad05,f0451f12,42bf423d,37afc17,74af91cd,7593062d,f22712a1,dc109b7e,f5b81141),
+S(389df091,4b0f71f9,70416ec7,1388a464,c0d3d4e2,2c2e111f,f5bbc5f7,d3618bae,e12e51e7,f27256f2,3e8f8935,677aec3c,7c8f4950,712039cd,afa521f1,a88a1f46),
+S(383fc7f,86bc9c65,f831c676,2885ba75,25a72886,5d6e91fb,b3ad1a53,d4e64f3,c58d161c,6a14470a,a7be7467,576a3bd9,67d7c944,ae26cced,74089773,b344b2b9),
+S(cc4e9f78,9aa3fd5c,eda60c2a,44a55779,1ef31b72,8687ab18,7012ed4a,616fc628,7aaeb0fe,1a94b6c6,4c033c77,3a1fe878,b9b54559,9af6eb4c,a9e79540,faa7ef34),
+S(dcf7dcdd,938028ed,f92c5797,6c3faabb,1f2b155b,59a0389f,fe1735c5,ba658aa2,2a008b2c,29290f2d,b64ba559,3c905c4f,46cdae06,ae2b687f,af0b5b91,5422d5ae),
+S(75125b5e,f968db84,df6d0253,5108e0cf,df3dd50c,8ca63618,9521475,c02b26df,f6bb520,f8178541,ed169ecd,42a62d42,57ba7d3d,aeba4ad5,e979c8ec,19cf935b),
+S(24f1af66,45831b37,bf80d0e7,e6185dd7,51f09e9e,5a71cf,ed350b8d,2c5834ed,2e04d2f1,b0b5d468,b4cab2dd,f0b18467,f8b78304,2b2f5cb0,49d7920c,695f3551),
+S(75024c77,150ccf3f,dc677f59,118b4d6b,8749d514,256c1641,e7f70e36,5d99fcee,d36fe19f,442c7739,cc65d1d8,c7ba5479,57aaf055,38497cb8,dab1ba24,d92bae95),
+S(4b0b4d7a,51b5307d,69b366af,9a621e30,258b3a3f,affd9a47,52a4a14e,562fbcf3,dffaa5b0,7133dda3,3586df1e,400412d7,6da55cd2,a978e8df,88e23415,9ca43127),
+S(83c377f9,13afe5f5,21bb2550,b0a38343,5956fd13,e62e46e,75e77d96,ca2ae791,db64f4d6,6acf0537,f9d60b6b,28ad8e1a,cd9b414b,8f60968c,62a263b3,c8fe5138),
+S(271acbdd,71cf48c5,e5048853,3cd6a1f,a49eb8fa,428f05ba,6d7314cb,d128c387,ccf83cf6,2d001c59,a5e6b531,ff40833,4a2b2421,aa75feed,d9ba7878,67323b6),
+S(4d41e719,e003cbf7,f3c26d31,139ae98b,a0a24623,f8b86c94,6edb2bc3,1be3983f,2e052d70,6348b402,40e8da52,3b5b3011,a79451ce,41222416,ef040d76,c64a8caf),
+S(2599981e,e5b9ec6d,c5da028,1f5ef995,abc78520,32951d1d,6356009f,f482a96c,9560bc0,aa47102e,1488f45f,90797862,3fd9e54c,7467d600,abfc389c,459e5136),
+S(eb82b86d,84989f3,68c8fff5,5f801f88,f351e43c,80f145d,4aa7020f,ff057090,62d44ad5,d42a796a,373724b9,f583d57a,d8c19d6f,36f215cb,1c20ed12,320a60c8),
+S(8637f2ae,f77485ab,a2871d48,a4f4296a,c84f6afc,b51cef62,b1f22e6c,4cc4b05c,43ba306c,7d6a184b,774e46c3,94c404da,b2acb796,ba239786,d85b5fcc,2c304436),
+S(ee462322,f2f44e1f,96643d7d,bbdfe53f,ad268a49,c9a582b3,828bcd2c,e471c1b9,910ec3fc,b9e4479f,2a6d332e,4f809556,1c69f6ee,812b3097,2812079,ebf87cf7),
+S(4dcb9320,6a69600f,6d327bb,624d9ec6,24e6d98b,a758922b,b102d159,e6c1c206,da85a8b3,de7b2e,51ddb90b,99f30c7a,70f1bf23,e2c90b47,eac6fe0f,b0d8f514),
+S(a1373c2,d15ac2af,2c496399,1db04165,28c74259,6d9d81bc,8004b80f,a68b1405,b7a13e6b,9255caf3,ca4daf3d,21b5739f,65d1e7c,74330404,24911fdb,4e8815da),
+S(fbd0d0eb,5a93c0e7,4627e83d,c483b873,96eace6f,fb75acf,ac743e1d,c7a1aa92,bdc310cc,3f420fda,28012f75,e6db4431,d2032990,d4d09a6e,7fb70fa2,fe1344b2),
+S(39d9552e,136794bd,76b864ce,d929f2f3,ed4b1b2a,e15b4c9b,485179c6,1d78a846,1565f88f,f2a5c23f,c2110572,c61ba868,9035cac8,ebbc7e8,367c37a,a22308f3),
+S(b92576b2,def0f8cb,e13ec334,93e2af06,f2ebf949,332fd038,689dbe3,70700e57,3d7b8497,523e3901,719145,6e908d62,63f752e8,ad2adbfe,13b6267a,ddc415aa),
+S(70806f30,e3a407f2,78d59553,fa3fbf72,d5129209,75e703cb,5080627,f30b3d09,c190bf85,9f43553c,6ccacf0d,e33359f4,87b3c406,ea07d424,981d94cf,9e542976),
+S(591c877d,6e4c5d56,95152fb9,b809fb97,41a46e0,446b996c,14d201a7,4705914a,b9dc4a1b,e049f291,5c1e6c13,abf19e36,f6560138,9d7bb630,c853b122,9aa70174),
+S(f7f3bc9c,fde746d4,fa47131c,195200ff,53c05c09,af87413d,84e9f7f1,feee671a,70a925f9,5b6477a9,f0a6dfca,b49c214f,c219cdd2,213555aa,ea49419d,33f8334a),
+S(9505f06b,3a9fa87e,ae289c2e,f4217b73,edb72175,7aa4d7b3,b681b09e,2f651749,231dc38,d5d63d14,4ba84942,67e1e798,973f632f,8ccc09d8,be747810,851c8962),
+S(e33e547a,9987dfb7,ae681cc7,1cbc82da,4f3a3a57,972c2b5,10c09548,6c25c04f,55b7c3af,2b3b2684,6ad280e6,51dd817d,b99b856f,409492ca,4f1bffdf,d3fbb232),
+S(7bc182cc,598f9281,74fd434d,9b5c2006,e52e864a,90b0b1bc,1634639a,68e8249,2810d2c3,4bff6211,63b09ebe,e77ec622,ad045f21,f9c103c,99089b2a,f0e8f7ca),
+S(83dcd3d4,8a18e1e7,353f9b0,76b7ddbb,ddc371d7,7e3d56c2,3741dc5e,c5686edc,8c297536,c3b02d6c,f059db38,791e08b8,2ed1d82a,8cd03186,d2a0054c,862fb085),
+S(d4b08924,b8e71bd9,6ca26c62,9c712e61,dc17a48e,bc07e6bd,116d2898,25aa42c9,c1fdad3,1e85fdcc,2f2a0a63,7308c8a4,ef3b31e,a81fce26,21e98cf8,cda3b25c),
+S(1b42a702,16d7cf97,de70f734,37a36d38,10f670f4,6a34f585,f9593c50,c6976,f29bd13b,79a7e65,f4f7f94,53b920f,5c751b6,a067d288,82e62b40,7b9858d5),
+S(c61413f0,7bcd6eff,ec818025,f792d8da,3643c869,4bf3d582,9a1813d3,cf38beca,68f603d3,db4d751f,ab0823b7,ed050c40,787b003d,6f6e001a,52e3ff8a,71ac0999),
+S(5e90173e,8be185b2,16b0066,aa39a73a,350eeac6,e49b4cf0,546bd57b,50ceb215,455ceebe,31e6c3ae,388624ae,fa2e7a1b,fc0c4950,12c43803,c4eaee31,d17122d8),
+S(7d0b2da1,8d6416c3,d47bc493,5e409ff7,6b437874,911347a6,3f8add69,8e25c6d9,da9f27bb,82034ba0,64c54a6c,13609188,584f9014,cfeba572,760b23c1,fcea509d),
+S(611b1c17,117e25fb,dd62f458,7daa0258,8d9143de,e2bb133d,34377c3c,28778daf,cf1732c0,6de82698,c2531c96,eba3edbb,23aa6586,372cefc5,bb49831c,4c00df80),
+S(b43dde41,96f3bca9,ade881f0,5878d347,812abf24,b1a8bb19,9a4a1d76,2f5e243d,1af78af3,acd73de3,dd2a28ea,50b4940d,284d501c,4d39dc3c,8d9220d9,37aa2e67),
+S(ba0cf8a,74235782,f251649c,5f6e53e3,6eff1062,fc51f65a,c2a8c83c,e89f4eaa,58e47b3c,467342bd,4202b54,752ada79,a7356f88,92efe201,201af87e,fccde55c),
+S(db06d4e4,ca9b1ce0,6d59cf88,da187b77,5e9568f1,da33b398,c682b8a3,ad9e88c7,418daca8,a8e4d3af,edd2de9b,868ac424,6faec0b8,f0b1edfa,e0e9667c,1f3adc1d),
+S(8a46cba2,7263af84,80c9ea35,ce8757b7,9ecd15f5,e938f41,aa7d4abd,5c3ce006,6f28398c,eaa2d168,7e6c8427,730ca15a,19965098,7c7338c5,e40798d9,82fc016),
+S(705d7e03,b5f0cea4,3720c73b,d6b4ff3e,26d2f8b,cb2f5ffe,6f5f65af,63e4fcd0,4a41f717,baffb579,b769e3a4,ba976687,4727c132,9a30bd62,61df3d91,1472ef9c),
+S(e6ed0125,6af3d738,84d8fa5b,361be34,9e2506f6,88b772ed,eadc5c33,98233012,90c4ee9b,aca8162e,2b58406,83a7de20,fb181b92,da81df99,e612e122,8c8e520c),
+S(95cb73bf,29e8d04c,a2bca75a,5925ded6,327e6128,e6db16b2,2847ed49,d3ed169f,b4e84fdf,526e060f,7b3d73f3,f534d669,3537babf,3b1ae0b4,c65dc8d5,11917b77),
+S(aad1e800,1abd18dc,4d929c2b,c2d59b8e,23c90d56,7b0af36b,2e4bce1d,ea2ee299,a27daf61,acc02936,835d5742,74c875a2,57796038,de289d27,d97bea15,a9d6be93),
+S(969303e0,75cf2eb9,551f93e9,43c5512,71bd1a29,b26feda4,cdb603a5,7e333fd7,a8800641,44578fb4,cf16d1fe,3970df68,708e2a10,79547510,f63ca035,616b2f5),
+S(6aa570e3,de1b51a0,67e33350,cfb337de,23ce7af1,be879ccd,2b2a4dcc,db1ae9e,98a5f5d9,79cfde0,30fd1ec8,718d2b74,d33639e1,80d31134,85c607ae,d871f166),
+S(4e469241,842ab69a,93bc6844,1b6036,578a22e3,c2902da6,1cfde122,962197f8,cc7ba90c,a290de88,e980f50f,bee59f67,ec227323,1db05d3,f11b4e72,34080cdc),
+S(772efb55,d4044423,ddf466cc,925548eb,b2525458,e24bdac5,7edc33f1,2cd64bf,df73e64,818bd4e,c7abd07b,24afa4b9,8be7aee1,d115d936,8f4d0fd4,7f40876b),
+S(a594e20e,62db69af,4afdd0f2,5a735906,75446d5a,71574bc2,12bf9f24,cfe879a9,1b2fc870,e5f74b0a,994e1d0c,de8ef9a2,74e6b49e,185f9251,417154a2,4f2163ba),
+S(c133d96,a51cba90,3afcbeba,40ea594f,3e39a106,8d0a9898,7df1ebe7,4c38d3e5,5cd8c400,989efe10,295ac89b,8891e0cc,be15247d,61ba04d0,4ea018b4,d0fa51da),
+S(3ea10966,fca290dc,b77c85c8,232ab56b,afc1dfdf,78628736,9a696fb8,92e67998,798174a7,b4729cd5,67ed639c,9debebde,1538411,94e99adf,f51c4866,990396af),
+S(8f0fb3b9,85565632,8207c0b3,e1528802,310d222a,9246e686,6030f9f3,14472152,4fe2daa,d16d75c3,ea219295,661ff8b6,ad9f73a8,b06ba105,80f7f6e2,6661eca9),
+S(fc22c901,b93809ac,21e1a89c,8e02093,92e19fe0,8f83d82a,733dae3e,16236a9c,8db62408,8fc9adc3,39de5f57,5377bb32,e3a1ed8,2731b18f,1ecf4beb,914bd42e),
+S(7afb17fe,1a4a5e3a,eba9dc9d,c5e178ac,ab9e76f0,d3efdf96,181b1fdd,eb81544,bfbdba94,c3e5d27a,547db3c4,83a09847,3e5c118b,9fb961b4,e78a40ab,84ab18db),
+S(38420ae6,13e0eef0,2cf9c567,b0bc28b0,59035e0f,d5df3fe2,d117eae7,27b7eef1,6e21e249,1c6a6f88,e2c96c1f,76a9238e,82cdd6ca,6e9ab090,56e0c1c6,4ccf808e),
+S(6b3e232f,1b22dabe,e22f618e,c1a002f,f6aec9fb,361175b3,fe2d48ce,ee724e8f,2530c6c6,8062ea89,24e6a793,6b1e582b,1e630c0b,fa207505,76a6fc24,5e01a516),
+S(8f4f70ae,5fc21122,275f1265,520e68a5,e2fb605c,bc3f17df,4ef48133,1d4d3e24,236bd0c4,ef445db6,9a0bd1f7,7ce38360,137d602c,58f8b70f,395e65b3,8b1f18ec),
+S(333fedbc,e4a9064a,cdabf1d6,57d5df7f,86114a67,28bad2c3,29a2bbc0,b7e822da,ca491209,173bac98,fab92935,ca8dba42,2583bca4,b7e62ac0,3f805ee5,5f1301a0),
+S(d00cbc99,3a9c2c65,b24bfeeb,f596ac8,c925c51c,e5211f32,74145c16,138708a6,5349ca5f,be59a8c8,4ea300,391efa3f,54b3344b,d708412b,a9e6b0ed,8deb8b04),
+S(968af2b6,58020db3,e8297d90,c36911c5,786f1d50,7246b35f,86da1cea,f46efc83,453866b4,f19d5268,3ed07612,57bce4a3,173b2c58,280927dd,ccdcbc47,75cda533),
+S(fa0adb79,476bea48,8926e659,c8687e14,b769c88a,3a1c1ba3,f11981c0,6934ff7c,37cf240e,ff3a6514,fd7ba90e,687ad6cf,3152f1f7,6d23b8c2,9bc1198a,bc5176ce),
+S(7c4a3b6b,3b9c44f0,4f4aaab0,9604066c,3cddd61,996e259,43757c5,a9832392,36a13d10,9ee60811,aca0b269,d42dcb47,aaa0f7e1,7158fdad,50f07e6b,e11289da),
+S(9c4dae1c,c6162f5b,e66bf6b3,53b50a45,d1f400db,aff1dbfa,779a94ef,ce7ae0af,2513117,efac13eb,cff70674,b3a9d27,31db473f,e198c3af,59ee1753,f4be8411),
+S(c66c125,a04037f5,dbdc4254,70b16cb2,b6318a14,bcd69f85,44ed7eae,346edf13,288a0477,4c2bf346,115235b0,5f921d9a,566c32dc,67755557,a550690e,42b115e6),
+S(42f5a4f7,54d8eb34,62c8da57,9550267a,9d73626f,257d21a0,486c043,58c5cc60,fd89e17d,67a052c6,71af223,2337ebd6,16e13b7b,72480373,3fc3a29c,4ecfd240),
+S(725051b,43e3107e,2321405b,4f974469,be69f90c,a961e352,7bb8490f,f8d8c7ac,a143d4c0,46ca1288,97633b98,7a6bd28a,81f035a5,e1f49626,1aaad65a,7f68d1cf),
+S(358d4f1a,1b94b0c0,9237f4d3,8d7afc79,f1dc3b1a,fae46a67,1a386ea6,ce6b81ff,b8caefa3,86daa463,93097bcf,526d84e,3666a231,97f3804f,3d976ae4,63fa65e3),
+S(749bb6b,e9d272e8,8452ec3f,ec83ca71,c15471c0,608a4326,7355497b,27ffc67a,79d588b3,cc607639,4f410d13,c3cab3f7,e635d10b,44e9b242,583b75a2,62136cc8),
+S(e5e8cc0c,a1910688,cdf89e82,da4f7a2d,265f63e3,247e5e3d,39d46fee,b00aeff0,89d4d528,60689061,aaaa4c03,469979ef,4c734119,4181ea99,2398691e,29235eb2),
+S(62341395,d066f441,60e08ca7,5a9329f3,7581a8da,fb78ff99,1336faf2,407418ad,63930988,431f129f,5933918,e5d23e7d,8249267a,8f0dfbdd,7945e34f,e9e24959),
+S(1a4900e6,95118e4d,9f956e99,2f868c3c,dfe8580c,64776298,13da88ce,fc9f8aa9,53bd8fd4,953510f2,72b67737,5b6179e3,e02e12b8,dcd930c8,de94e400,225aace2),
+S(b0303fc5,8c1944e8,a84d9bf3,f2102f50,2bad6105,afbe8a37,b09025ea,6bbcace0,d9a29c66,1af8a54d,7b115f8b,52b834d7,e7c2afe8,c7308d61,4e64aaae,3f0708bb),
+S(4b51c846,44955e86,9cdf575b,b8796773,d70ec44e,fee77957,c342d491,aac8ae0d,32480851,7180afa0,2d786a90,172ee8c5,75a5113e,ecbff5ea,444ec3e4,143a8d48),
+S(c0d19125,b3fea060,45c1b2b2,4febd77d,e3a59da,4b8a8c0c,910189dc,b38d0228,3bed5e0c,e1a5c537,1d56cead,8c2975e0,f420ad89,f0308ae2,95a0c9e1,fd88d10a),
+S(8bc96490,25ecb626,131c81f4,c522427b,7f8c22d0,90fd225,ab8bbc7b,50792500,5d2a60f1,591a151c,f0fb3a68,709e1050,21b9148c,5120a79d,100bd319,aad0479e),
+S(4acec462,c6566ae9,c17ee177,61822b5b,5ca04619,30270d8,d5b3d342,5e9daace,82832a6c,ed0fcebb,3f40ba27,6e964981,cc0ccbb7,e2a1bffe,6e10014b,c563b12a),
+S(6e7b6406,8e3d11de,ee7ccf55,1cf5a34b,168c3f29,d013a5d6,153fca63,2789ea72,72fb451c,f696060a,a82a14ad,1ae636a7,e0f338b3,8aade7a7,fd2599f5,270b55a5),
+S(d24b42a7,40563303,25ec4fe3,11ceb35e,68d6b158,689a7434,4cb65ce8,2fbe5104,b4ac12ff,acc676cb,49d5bf0a,7e0a4167,a2460dc6,1b833e,f26083bc,6c7f9523),
+S(5ed0083d,2205815c,576c2207,780d9159,7e985b26,9581da3a,2d60f088,1aaec692,2b7ec860,7d94d1d1,7dc3d67f,caa6f499,e3476f8a,d76ae00e,1a981455,85654267),
+S(3a2fd05f,4ef9d7cc,6939dbea,a389521,9b1474f2,6fe8cfd4,a2337771,66ee418,5d04893e,6bfaef9a,ee8b9abc,347f3875,2c8cd5d6,d43da92e,be05777e,1b44e546),
+S(a0e5e214,53858d31,7aef7152,aff56438,b425914c,d42dc2a2,61415381,30d13374,8ae28cb9,fee0271b,98fcbdf1,66dc9cb6,f0d2ec0,b1e34161,ab8513f1,597e2b9c),
+S(ef690072,4a54168b,eabd6285,8c85ed24,2a4c5b04,c4c419,f3586e2a,3ee2a463,49f17e53,7324d9ec,c7feff8e,2f3e437c,d0b01d79,d92189b7,9b35793b,b367fb28),
+S(fe22736e,9be9865b,5c1f61c2,a236bdc4,ce37b650,9312cf44,8b536adf,5017f096,bd67d013,5ac42683,e83239de,93f3b7bd,f1d9da45,a7754bb5,f363f501,c3059e8a),
+S(4ac35582,84269d4b,cd98bb27,a708700a,5df4e4e5,8fa93963,f6108432,2e0ba4b,91e43c02,ff39da29,289d4c66,6f58133a,5e7ebdd0,1593c7d0,833bc064,d75b876),
+S(1bbfb3c,d5ab0755,96cbd99a,cdec6872,4c30a3ef,92162b30,9df08974,30d378d2,b0d34d68,1907625c,726aa90f,d363ca7a,711518c8,831724ab,bd24f082,9b71a9cb),
+S(34417402,cc02a6af,129cd0a,d85f6a46,5367b90,baaef255,22622c04,ffa8e389,664ad84a,dc6e21b9,aa5cfc66,fcec0744,dc0e052,3571b1d7,7bc9bf86,f5233003),
+S(5e6773cd,613df09,d818af9,cb13955c,f1159616,dc08482e,2737ef50,f3cc34a4,203fda8a,74f49604,b41226a5,40204452,3619c4fd,1c42c8e,1e4c8543,4ba2593e),
+S(21f0fd84,1c01cbfd,9998d5be,f2d19830,6623598b,4c6dccd5,28d4f2b9,b0e0715e,ff00f77b,605f8e47,97ecfdfa,9ec4cde4,a9dc3479,3d571f4e,7f9f8bdf,e80b8707),
+S(c1ac43d4,7fbdeb41,85536fd2,37aebc3e,b9faf3db,e2155814,e16f93e9,edfa131a,6785367a,1ead47c8,2d143984,c2de38ef,f3689414,14472eb6,8c1fec2c,2b4216ab),
+S(c2fcf122,56b2e49d,36e880ba,16f27ec1,adf9779,82679dd5,4ae962ce,62f29057,580b1989,62da6793,9673a54d,41a45486,a80eae55,2de79bf7,9fb63d79,432ca48e),
+S(92455df8,c253c53b,6dd44872,9c2c39ee,8f68b260,bb7511f4,b33a5c65,c756d016,c2258438,3f4d24e2,4bb0394f,b05e6a64,552b9e11,7c1b4ce7,a8c59669,b2244916),
+S(7e953554,4a105bc9,77ddb025,8fe7f4d8,63142198,98c07b21,8d4c6696,314fa885,320addf1,d0f0021b,5bd67519,881777e6,2bf762a1,2430b17,2f67edf3,edb7acd4),
+S(2d57c338,1abbb97a,bc9bdaf5,6ad542c4,4e3aa5a6,2f2da2a9,8c368eb3,506534e2,bc0e3a81,318ce176,c206eb31,cbffe043,8597eb9a,e2c505bc,2c21ec47,2fadfe51),
+S(68ff7b53,b4e3dd0e,a24f4edb,c9fedd72,b904075,8ba87e0f,96cc6a1e,4d1d3e5a,7f3974cc,ad1b83dd,9d29847f,d61fb706,f47b1b19,a2993a6a,f885db9f,ff6a168d),
+S(2e340edf,431b9efa,cd54eebf,22a4e79e,9ce9de59,b5e306e3,821ceab6,5b11f576,3a5ed040,679e77f,754ad7c5,5de92610,9c863dec,3fca56ea,85dfe104,af228f0b),
+S(aee71663,94e2d18,353824d9,2558046,c15052cf,e3e317ac,baa142a,e503c712,6dd9272f,877f5aa1,88c43f4a,d63ecb63,7bce5836,b0b4efde,f980c2d9,778d7375),
+S(cf33b265,604c4e51,40350795,baa4d4d4,baa1b136,1bcf63c5,29d5f7de,3ffab739,113390b3,abebded2,667e169,61da10d3,50a3cb23,e2c2aac0,7e72689e,f933b396),
+S(367b235c,b5393994,9a034a1,ad476a0f,a3995777,5f933dfb,4493f518,f8ca0843,e5b1242d,c9341bf5,20e7a524,75587bdf,cd571cf0,bc85b390,aa6e4578,69c4c4ee),
+S(b133aef6,30e9ff4f,59ce6ab,299eb6ed,ec1ec4d9,5e4e4c6,f37bae90,e80827cc,a9e4f652,cd9aa9f6,31c42224,ddd8c24a,d6f2c8ef,26102aa3,5585d90a,758cc5df),
+S(5cc2d108,17007002,9a3a6158,fea4b6c8,3ebd500c,eda5e63b,55e287c6,36d48dad,dc988502,2c2cf16d,6c54d4cd,c5a8d7be,8396f9f0,e78564bd,7bf1f822,bc13540d),
+S(2434c516,40c358ab,961964f,62741de3,373bed5a,1db16197,c79209ee,46838156,3376a3f1,8f4998d1,beb23159,143f505c,dd98a0ad,225e7e3c,cea17dec,7d8867b8),
+S(5b115d9,e1997333,7f74ee7b,1ab9b177,5f9334c0,6f3815cb,b987619f,e4fc35f1,29afba83,76be4407,d06a8518,3ad236b9,7b967f2b,1ba1bc6,8bcf3a98,f1d36c18),
+S(a4c7426d,8bc73763,a0ed12e9,2086bf9a,3f271e21,ca158feb,d6247cda,400ef88d,7beb9c9a,efd02fd4,57e4824e,1f24c058,ad367ab0,d1dac794,58f93031,8cde173),
+S(f08ad354,3be27960,41315205,670378a8,9444f336,b1e62681,d1baeb26,f356ab51,24a5ef2a,21eda2af,4b567efe,3c339bc8,1c651b02,25e4fcff,612cbf8a,f17f3401),
+S(9c649e1f,c78c4805,7cad2a42,fc8feb93,b93a5c8,a4e0fe3a,3d9c5931,e2e659c4,469afeb1,bf91db88,e49e4142,207cb5f6,1f601dbc,376a3918,77e2566e,eb5f9ac1),
+S(5477d1fc,48669d0f,52a4f666,5b599a3,9671f30b,888a1edd,16c4a3ff,b35b0d7e,7fe541c1,b7859b99,528da7c7,ff50c02b,3698958a,b4e96576,684701a4,10b13e3d),
+S(33dac142,9de66b17,60ca63c6,887ab053,f315e77a,42fa8091,42d24834,39792355,6fa0d16d,6213a2c,82026d06,57fa1c7c,8cdaa11e,4a92057e,845525d2,ab9401ad),
+S(cb80339a,c6d42daa,cf7c1f6a,90074528,6861340d,a9cbf449,4accf827,15ef15a,3f0135a9,3d3d4fa6,80a4837d,e42c9e12,c28130cb,60b9866f,d5ca9f7,2ec484fa),
+S(bd7b0bae,e55f28ae,4882cb87,a98c4fd7,bf2957c2,58cc22a7,9505be2d,5c071933,ae3be725,47e45dff,31f4e5b4,c1bfb425,551dbeb7,4d5ba887,376999bf,cc0dd376),
+S(654dd97f,29655a8e,12ffd72a,76ca7a91,ae596e9e,2e2e6d05,48157b93,86ae65c6,a6a721c1,5714573e,8cf00d5e,5cdf8169,e363c5dd,fe6e76c0,c26a3dce,f267f031),
+S(346dfb52,da33d501,d55d018,70c7603f,d70785ee,1e3029ed,4295ea6d,19d5523d,8728cf28,d307c488,c0acfc1b,53785bc,cfd84e3c,2340dac8,e84db9e7,6739cbdd),
+S(4b22265d,70f13fd6,aac7059c,c7f3c363,7200338,28a20412,2168b772,330d73a9,965982ae,f3d121f1,12b4e1a3,a31ba940,ce702a77,1e743498,5ef4624e,ac13f9aa),
+S(2336f680,86bccccc,679bc8d9,1c42bdbb,944300fa,fae9aa51,3a5245ca,5f0fcdbf,b0442c58,74e041e1,acf43400,7547ffd5,fc71d5ac,934fce04,65065e07,9b13d8c),
+S(9566b5ab,2ca85589,565a2245,cbc04256,5b26b333,b089878a,393f464b,4405922a,2b6ce7e5,b22b9411,a46a012a,6745dd5,6ba35d7b,3304c686,50eeab44,d245886f),
+S(e5722284,b8d280b3,a4ea8413,7cb6d8f5,e7107ed7,c1e46b4c,38adceea,8323d731,83492274,77d6d6e9,f19a2166,4fba0027,7c30529f,5025b6b0,6a10160b,bbf941f6),
+S(4efc3d78,d30e4d41,e6d7e04f,d65c7f4d,abf51048,922ea858,ced39ac,ff7ba548,d3f3b5e2,3ab945a3,95ead15c,ea221d86,44bc737a,f894d374,f7379309,1f18f893),
+S(268b193e,718e2c07,3cb4205a,c1dea8ac,f12b73da,fc17eaf5,b3dd7f74,f9492e16,6f1e00f7,35e4c6a9,a16b0a5e,5ba280e2,20760b4a,691caa82,d959c412,5fe739b),
+S(d31e56df,6a0d1e5a,f6ba93d,63a02d6e,a91a6008,8cc6a7b1,ef6240bb,83ca59ea,3693fa09,ac433b64,424162ae,bff3e0ce,b926c036,37266c07,ab6590e5,b269913e),
+S(c5103c0d,6b6995f2,94e1418a,21492951,caeb4adf,edadf140,4481e674,247c54eb,7832f84c,f94d55a5,ee865d46,605e708f,a4ed1879,a1bbea67,d01140,e3aca110),
+S(f95cdafa,b5578ef8,6f37e978,476c08c6,6e3167ab,73a802b4,a24d855f,39b7e9be,77ae964e,d8a3b05b,8f8a7005,1cc20b99,71a4d78,74dc40a0,e2cab2a9,c662d445),
+S(b4b9e827,faacdf2f,6503b903,171fdef2,7398c819,3776d2ca,7d1b4268,e65afbea,c0143786,244ec5e5,a166996e,194dfb2f,54152030,e1bf2fd5,2d33fc43,7f955ca6),
+S(9169df6c,e6c940af,8dd672f4,5babdb0e,332b8082,f06ea004,1555b1bf,d269a328,be066e6c,26a18e22,8de12272,a374d17a,307708c0,f05f5846,3ba9a55d,dcede1d3),
+S(4ebeebd7,c1b60e42,d40be032,570beb3c,6671ccf5,b7f1f10a,b094da51,7dfb6971,8b8d6022,5b57789d,c91f02ec,81e25d4d,69d85c88,809f202d,2a998460,95361653),
+S(8e96e051,f8d7bee2,30209f26,ebbe1f74,1db4bb35,363dcd1b,bc33ffc2,b7c0869b,ccde36d4,c67f2f29,5241fcd9,a85f2e18,c322def8,dd785c2b,232e1da0,3c9dd27d),
+S(61b8b1f1,d92213e1,38673287,79bcd83,7f06b24c,331e5dfd,76d91df4,54d6a42,93b65197,a22442e4,5ee12c2c,345afe10,aaefd03a,ad45dc32,98fcf810,914d0d47),
+S(3e94ab30,2d01ac20,9b0e8e4a,d7329066,ab3a32c6,b0d8160d,9e2a7b64,8b625563,85ee61a8,643d08b0,a5eb2f82,7ef70bbb,99ca044c,af4338ba,24774e81,b6fecf4c),
+S(dc4ae75d,78831a0d,ac87cab5,7c6fed74,500cf2e4,1fdb8afe,7f95e81e,730b9b5b,5daa7147,1fd50e65,9a9845d2,9535f0eb,55f787c9,ac1b595e,da2fb170,b59f17f7),
+S(b56007de,d2b04196,b5398832,df12ec62,7d4b188d,beb5f09e,a3cf87c,c414f252,88d29752,eec1e71f,3c72609d,f5a60e31,f485262,b87d575e,83d9070f,b72c0ae0),
+S(5d5389c,741446c,1cb8ddcd,48c67a41,580dcf2e,93257012,97a8b8bc,fd20d4d,e79b258a,57ebb0fb,26f08771,d63cc6b7,6d1cf981,124cb3da,28405aa,9217c698),
+S(13037858,1413a8e0,9460dd66,18cc50da,f8e93b44,f0c0245d,58950892,1d61c1ff,5374f786,906892b,77d3cac9,df04a393,f17824b3,8a9a8b47,c5adc73,2a7fa51c),
+S(d20a183b,1e003892,f65937ab,a19153a9,5c637bd1,8fb1fa93,4d258555,36e334d,c1a3efc7,c1b2c14c,6176dc68,9ecc273c,fc7250bf,d059ab0,fcb068e2,7cb70741),
+S(585aee85,4d5fce99,fa00d575,6922e529,abf77d52,3322bb68,7e7d3cec,b28109b,e7f5ea62,cd4e12e3,c2b43ddd,a1f7638,ebd5a2bc,362b087b,6839b13c,ebfc5cfe),
+S(1b20bed,29cc0082,5a6fa7f,d1c8fdbe,13cc853f,f240129f,16df04e9,a04e1f1e,daeb1a97,17f5bf42,4972b4b9,ede42db4,7fd36247,173c0e5,b53a6994,8ab01980),
+S(c9a9e323,c531bebd,84548b4f,ffe78967,a08b6399,67788ff0,4953a1e8,8c7febeb,d64b4ed8,eda75c40,66c26902,944d2744,503f6017,b8e80940,55adcc7e,b34306ab),
+S(6c551219,2ecadfca,bd79055e,d4e45f98,ab4f3a96,15e3b7ce,138f6266,d0ff245d,56aa876d,efa4593d,d1140d14,19f5465c,8a826859,af6a3eef,e2013c60,330df086),
+S(e242ab32,5fc71bde,da7da19,686cb1f7,93f38e81,fbb555be,db874200,8ce81571,c56f2ed3,20f7827,cbe76177,e61486b4,cf15a555,816ca48,3a72867f,f27c4ef9),
+S(7ab15e09,4b5af61e,3f5b7397,f89f1711,e3c55005,1202b76e,b351cb1d,91998741,27856f9,a77ad2fb,adfd70c5,7099d4b5,8b162f6b,daa3f3e,59f312d4,d46535af),
+S(e55d8d3,77e84b5f,626cc6f6,7d1d0a62,44c72dd3,78206816,35c30d95,f7541cad,e78f840c,f8056853,3824602c,3f7aaacd,2de98757,2edda9ae,37da985b,60e1b690),
+S(e9a09a03,9b0a0130,f0b8667c,6d7abca4,b3e5c143,d0126565,1fca6216,c2128771,4207a863,dc05cef4,6bc6bb9c,975485f,7c9f876f,3bce673f,f160d714,bc151e90),
+S(e2bfd72f,f1af92f9,33ebd08b,d6b70cb6,c1346895,9a0bed0d,7cdae7e1,65135325,afca8d06,74918152,56a53af,b0dab50,91752e09,b44fdb4,cdce07c4,89b00045),
+S(656da8b6,83b95ef1,e20bc36d,e64f4dab,7c1ed8b9,261548e0,93e75d5d,525b1bfe,d12b0be8,d382a555,a71143e1,cd0942ad,9f97e771,90bd6a24,5f473204,5d867bad),
+S(e5e3168c,51734cb9,c08d9035,d592b821,a6a479b7,61000156,974a8eea,2f2bb902,63661750,8782dc9c,d4271732,68661c76,d2b8bbfd,9d49c7c3,88df9360,e6ea1fba),
+S(6676fa5,dbcbc713,920d915a,13d01972,82457d37,514492,f90798f1,dfbffaa1,3005bd04,4d06ff3e,4f06310b,2927b621,2a82becf,5111a825,dadd6e13,bc3fbb66),
+S(4f89f4f,523a53c9,ee9571ec,33bd8768,2f620c7c,8257a844,355d87bb,7f6f0d48,131e3f25,cfc2881d,833bfb59,d917d7ea,af2a7336,ee8944e8,6c4a48d5,10d9254b),
+S(9f541512,a0f7a48e,a37bdb58,dfd9e627,e775e862,5b8552df,88e5f595,c68cc80c,a8b36ed1,2ae8c2ec,fbea6d33,6903522d,714ce9,3792759e,678f4643,f880b461),
+S(777387eb,9e9c70ba,dc94b9c8,f0fb411,ea6017c4,faec6aff,f6d04105,c031e4cf,6bf663b7,ddfbcb36,f833320f,7098c928,22f9b993,3de32c0b,be60b66d,61f94795),
+S(b27524e2,ec594848,fc757dc7,762c6396,9938d53,4f90a0bc,78178192,e9bd94e4,f8c944cb,dfe215c,32886c9d,1149dccf,c05a78da,ab759161,22182569,a5858454),
+S(c67fb320,4716820b,37dfc400,cf2e934f,4080c4b3,b092d261,b2bb88a4,5136fa41,a3f61aa1,ccd741c,f36e4b6b,1a05896f,3805089a,26961cae,ffd2f70c,b0b2df3b),
+S(f4ec97c8,d8a5af0e,d8d71cf9,5450aef6,66a29847,e395d60,7c17e50,68ea9be4,4376c5ae,10e31637,7b1d3ad4,6d224dca,8a83cdc,4e78a9e1,1286b4d6,2c39495f),
+S(101fb524,eac89b59,10337c27,48673b30,e24fe7c4,f9beaf75,69861984,d14243b8,d56cb44,6d9d050b,69b986b5,adc3a710,774698b8,72236af7,d4758d29,dafb1fc0),
+S(3baa0ce7,feffb71e,31c935b6,ed2018d1,e2a1a694,963f0878,354d2826,17008749,c010829e,aba91b9c,ea31b88e,aa90fef9,3059bc35,aa2c11d6,4cbbf40d,bed2271),
+S(3be18f6d,9c8609d5,8b595b57,1ec6084c,650ef42b,9511e1c8,8c879aa3,ad70c65e,84182bf8,9db24dd2,46eea18,639b98ec,b62f8b93,5ce1df3b,f71d93fd,ee3c031b),
+S(4249cb66,d532dcd,406767d2,7af9e7e6,2a7e46d2,4a140a4,b01b155f,5712f3a1,e4b5a468,f71ed053,a060130d,e40662de,fa3a87c8,509dffc7,83c7b2de,93c89817),
+S(75688f6a,8599ef01,1c89b06c,132dd184,b4485af6,b3410f20,fc2368a0,1df9fae5,830648be,b36c9c8a,8ccd1096,3f2da3e9,e4f03d0a,75b13325,80601da2,3d572a05),
+S(c0b7cfea,412fff9e,92e31b33,7e133041,c81946c5,603a3ec4,3f92fbda,bb56f8b8,63a13e2d,9a06506d,dc65bc20,67afbed0,ef0cf722,e75c17e9,14c0ac03,d50ec0e0),
+S(777f64d1,c65275fd,6b266e39,5a0eaf3e,df51bf38,336f6651,1140f475,dfed8bfe,d75139e9,ac863e6a,35b495f7,6ca5c554,21fe88af,24cae574,95456046,503f4286),
+S(3e7e7c7c,c7cf5612,f44c42bc,51f3243b,20bf280a,8b75e7ea,e52ce30e,2fd80657,e64e815c,fbb6f263,eeb0a21,8fdff95b,19eb8cad,f3d582b8,8847b7ea,7b9460f3),
+S(8795ef69,b029ff93,5e9e0e84,5490ebcf,18728b6d,f25152e8,d315292b,d834cc69,86b984af,49c56711,20630233,f30bc4b5,e460ca18,8e4a86cf,5d5badbc,bfed2e3b),
+S(f5b01cfd,59a22134,85fa7eb4,d9a7def6,d16b258f,2bdf581e,e22c28be,9dd8ac3f,95696481,42941826,38a4da0b,57f393d7,65e3a9bf,dab06592,87905d1f,5323109e),
+S(9453d039,9e8dfc00,763b254f,905acd5d,60b109db,6830d8a,f062f339,a38f553f,59293f71,ea51b918,334593e9,3dedf34d,9dd0c453,2b5c9b35,edf046d9,5137f38e),
+S(40011ac,573a375d,7815fb09,8bfab10,89cfd5fe,7fa87734,c257a9a8,9acbe65f,40f2e596,436bfd24,bd88bf33,1e711828,56478565,93e0250a,d7b87b6b,72b5af13),
+S(7e0cdca5,50430cc,404cc9e4,e60bcbdd,6611c175,1cf50670,fe19271a,4db4aedf,812709e0,1e5f03f0,dd94e208,992db41c,4bbe8cdc,fe0f0e0d,bcdcd77b,d95cff63),
+S(9c60fd1d,675457f6,4fb43af1,3f25173c,f64833b1,48867172,5e1f76e7,3e3f0da5,11d7e0b9,41c428c6,c0fcd00c,fdc4e252,1084a6f7,ae780845,bafafdd3,30a21e24),
+S(7251e853,65bccdd8,a493ef77,f22c347c,964b0827,20c84195,5bd367a0,c2eeb752,8df2d302,e0f90ae1,68e84163,d4081a9,b93d0421,52a45bb0,17635904,8efa67f0),
+S(da466345,6e03c943,972bfbb1,5b2cd45c,83fde8b1,e22371ae,8c248431,151a6198,6659dead,d0e6dc6c,15721fa8,c00b1aab,6676fd3f,c5f6a834,9ddb4114,b5c45e18),
+S(666b5d13,8d5b8169,256009fd,ab4911db,2ac9ea0c,ea7b707c,60196819,6a2dc816,d7486d1c,d50eb54d,22be8156,caa92197,3614604a,1a5c72a3,836d362a,d0973fe8),
+S(48f24f6f,e112c070,21c45eb4,59f5624e,e65de1f,ea3638aa,b8b849e6,175805e4,5d2df55d,bce84e37,1a13d26e,f04f3a99,38a9dc58,c78c6c18,4e72aa8e,2ce03287),
+S(3518acd8,23ac4b6f,d50f8691,90d14f76,ba22bdb,8e0c5e49,8949468a,30eb3230,e3c92847,a0fe393e,83e101ec,f1b45ba,763c725b,684811db,d2ae402d,a31a7467),
+S(105b1aeb,5c85edd9,ad72a0af,cd04ed48,feb975ec,62ef031d,9b0bc668,795b717e,dfb18689,75b80da7,110cc6c5,c845e9d6,6b8358a6,2382825c,2e6c914f,54b473ff),
+S(f156d5c7,f15e5276,a9f673df,590b93e8,348407e7,9f6c096c,73b658a0,a630ee70,9d9bc235,b54fc94a,4d34c33c,fa843c,1c67a074,c679b0da,64b44358,14ab5fd3),
+S(eedbc38d,d0da0095,a1df4b97,2add48af,a97f2e92,bce8bf67,5ff3c134,73e5c3ac,116d4b18,5a00d9a6,b858d82a,39192f4a,a4e6f305,b2d695b2,e054557f,b895ae0a),
+S(14b54fd2,cf799482,ce31b76f,474055c4,60647893,d6b46894,15676c32,3a413a18,5c700720,c08b7a19,7672fbfc,cc7b5223,6b0664dd,f9fd3df5,aaf66e88,f50824b),
+S(ede2af57,9ebec635,d93ccd2,1fa74e69,d8bcb14f,d82ef9a3,570bde8,3f6e7f3,e5b817e2,3af1ee7a,38a3cd2e,41b2cf98,c2d4356f,c40dec19,b899d219,e01f9121),
+S(6aeec3f4,90b048a2,cf210738,f14d7324,5ff190ae,72234576,e825f5e9,20641002,acd9b1cb,1fd56468,6da61382,cf9d66e4,1fa00c16,d886c9fe,9aee6d13,d1812054),
+S(a0df5ad4,8b909123,e0de90b0,669fcfc6,f0e10d0c,28746ac,a260ce19,a678c8e6,3897d22b,fb2ebbd3,e87d6948,cfbaebee,95adda8d,f0654dac,d409dd51,669c7eb9),
+S(d924dce5,a68819c,6e840326,5ec20b56,553d596e,78020430,5ffa6d5,736f5317,fa262ae2,f1be924a,18a41181,f417d16e,9013d50,c56a5eec,47244a3a,fe69122d),
+S(98add9e1,45dc7541,4271c971,4d6219e5,436e479b,998a4b6c,36ca3a6c,90645ca9,34997501,ea07f7b4,2aa4b6b0,7387104b,4f20c0c9,dc1dc82a,8c2ba093,900741b1),
+S(c42f3e37,2cc9cf46,3d76c4bd,e29481af,dddf3040,340baa94,6bf84220,7f9a70bb,5a1ec58,e4038781,3e9ca00e,9c53358f,7d777fcd,4f18b5f0,dd81b9c2,3bb3a059),
+S(e940c5e4,1931a103,a4feef73,7e95a12f,346c3855,7a3a7ff5,dec89ffa,ec1c3ffa,5556a9de,d0a5e7be,5440ab2e,3850f718,438ab153,aae411e9,c31d1012,15705dbb),
+S(35b105f5,7ababd24,19f00161,262a6a8d,2738239d,418f8f68,8c57fdc1,c8b3afc4,97e93b99,7664d080,f9236d16,38fb8457,28f812ca,9b0d47d0,545058e5,513b722d),
+S(15ddbc98,b22840aa,bf698e42,3eabfb3,8f32af95,2969eb06,c24c9901,8b9428a9,33404fd3,2ef62c0,db440774,7fa7f70f,d681c4d5,e042c48b,1c7918b7,75f13514),
+S(a00a5eab,1517bcbf,d377402c,d2721d3c,f493d100,3602e251,8882d426,fa69ebab,68f8d86,2708fcea,4022308c,2e391f76,9cd4e128,495aab01,dcb63473,4334760d),
+S(7350c15b,8afddef1,4c173893,bf5892f1,6047769a,278c85cf,20ddcc91,125a632f,3bb33254,e5ab2964,f6f401b5,685ae429,7a33b887,99fc9861,75da7e3a,7abcaf51),
+S(7d92d2f0,981424aa,6d651cd3,fc1cf104,2f24e71a,29cf49dc,c4aead32,2771f6df,f4f49d9f,f1905e01,f8de9679,b1bec436,ec0bd68b,b24e8041,89d369e,e1a46e5c),
+S(2c10719d,6122c4be,8f1ccdd6,d520211d,aceb2e9d,fbba02d5,6c0fb1a8,5b3a44f4,558fb689,90788971,2e5fdb,7bf12431,3ca1e6a7,e8117d3b,8e53ee5e,b7162eb0),
+S(5b271fe6,10767158,ef07e835,54e5cb7c,d39fec5a,defb93ae,122bf5f2,44758a61,d82aae85,70af5248,f1e4b784,26a491a2,d5c33c22,c65165af,de42b288,60f097e0),
+S(1c3bfc2b,cac4ef22,9f946221,6f03fbb,b2d27e25,9c2e1cd5,c410db50,74be14f5,f3ee7b94,e8c24dfe,abd78d0d,737b89e,962cca9b,8fd47978,c6573e51,2811b857),
+S(d43a0bc4,638e36db,c0068609,b7f761de,44303303,de7189f7,99bf611b,dfa1b233,f8877c1f,6ccb955,6e9b182,379600d6,db4bd0e3,83c76dd,42941e24,bf8fe041),
+S(2e4d8eed,3e9d1d99,2f08882b,348fff52,913c9a6c,177bc71c,236d92c7,6634dea3,1e994080,635d8ef7,a6401aad,679ad721,56b81cf8,7959935c,dea463d0,b74e96ca),
+S(4cdba5c9,d5fe043b,c99da326,9cd6248f,3ecde544,cf617a5,b8c73e47,cf539c92,2527e4b3,ad0bf862,f94b567a,21020d72,92def1d,8e19211a,35f78ad9,dbf72269),
+S(477033f6,5abb16a1,7e4b80da,f81537ea,eb39891,d8a2f0a1,5577b1f,999a6473,c986f8d1,3b17239b,e64224e1,b0316573,18c536d7,b00d6f2e,a462848a,389c47e2),
+S(2cd55c4e,e05a9e18,9ae326d8,741db193,eeb4b356,78334c1a,48453f56,4452cb72,d9186792,86ede279,dc4fa812,9bfdc308,b887bed3,1b9b4512,1b15c552,ce4f89d6),
+S(c2efc599,bf13c184,7906d679,16182ff9,d98cc345,d306975b,a5285330,75925f94,9e6fcff2,981370d,4f4ee530,ab1ecc8d,4f807572,bbdeb533,6157a096,613f267c),
+S(4804058a,88482ff1,bc0c27dd,31f53072,f166b89,abfec728,ac77b832,ce24387,ed62ddb0,9c4ad5e8,473c443d,ee624287,e85398a8,dc08ddb2,8ad5b4f5,4e0b990),
+S(6c3264eb,7f4d3f1e,5c0c614c,cd8f77ee,a23f77c8,a22d6679,467269e6,a13353f0,158750fe,28339ea1,ccdd2147,466824e0,9c44df45,21b2b47f,540d4f9d,9b57c2a0),
+S(5a2e10de,52c3e589,4f7e9807,cb5d75c6,7b8fb61b,6c161f18,661b7bc7,486f1f5,dc191e64,c33a0aa4,7a771ca8,8aec0c33,8ffde81e,3b8025dd,61314acb,e11b4739),
+S(57c4ac9a,c559aeab,da34371d,c0088bce,768cc4d1,6423c8f4,daa3ecba,571e79df,5beef57b,97435345,db22f84a,36b0f1c6,7d42b246,32336304,f1f4cc6b,325f7028),
+S(46b350d8,326546e9,93e85952,f4fa1b5e,4ff93d4b,2afaa5a1,5ceb2e66,fcc12665,852b0e65,a3864018,62f9bbb7,f284b4b7,e04ddcf1,dafdc616,5b7d2303,395531db),
+S(66556fbc,632cd7fc,e3a8d768,b96de7ab,fcd0a7e4,e3db320b,19e9d971,97326d46,45275512,50aede32,9b6713ef,eada1372,69465b72,cc720404,aaad34b6,fcc5c2b6),
+S(24e2b12a,798506aa,68b50881,1c555a5d,80984736,5a4e6f7f,b27c863f,8cbd2bb0,fb9aa79c,d205955d,4e9da24f,4798f930,2933fe7e,1cc01024,c08c9fbd,7fdae7d),
+S(fb51fa7e,c8d846f1,fde26c,6c14c479,38059646,aead5a8b,7bbb05e1,a5bc12fb,6ca2fac0,20cf7c16,d360d37f,eea72322,edf5b824,3cc3daa7,f0e91a81,dc2f7aef),
+S(4613ed89,ffb65026,f0481095,553fd5af,929a13c8,4013bf28,9005aca4,e8e0dc94,ba837762,a2e6c17,4cd4912f,3662991a,ec910c29,8033122b,63396def,5de2cebd),
+S(222473ff,f87dfc87,403467bf,9b0f12f4,2014772a,68457462,401933,f6192499,58aab7bd,8e58d310,1849b3fd,96a2b6db,8eab6ac3,d29f9ddb,d2866980,14774839),
+S(5e751a2f,988fab02,b974604,b4177076,81dc7332,a2d268a0,4586f231,300552bd,2d466152,4180a713,f6b40571,29bef9b7,bcbc0372,aefb4b07,8707725a,f31d029f),
+S(3c94835,bf940014,e0c589b,3df40cc,a53c20e4,f0aab085,d8a79c26,fdb95b24,4cc1349e,212b1111,50ff06b6,927d701,9387e4d9,4d6bc1c,aa0ba14e,57f97414),
+S(9fb3ea60,26b6b1d2,d56e6caf,19fea2d9,a2386ed6,65aceeed,aa66c5dc,f8fb51c2,8f90ecc0,87c300e9,3df10082,a3e461af,88bc0746,41e0a85e,4981988c,c539d096),
+S(49c1f091,dc031e1f,a14b5417,3831ad26,438e85fc,407faaad,c634a0c3,8d956cf5,6656b7ba,7a5658dd,a78ae1de,74944332,22c36abc,d7272146,80a64a8f,1135e455),
+S(eea69d66,68446656,45231f81,f27dff32,83667f37,4dccc3be,5bf12a42,c446e112,821403bc,f618e100,42c45de2,3262f7f9,b23dfda9,9a5532a7,fc6aef36,868eeefb),
+S(c251be6c,5c73933d,90bb741b,e87c8b27,909b9efb,b40c70c2,3b1b5db1,956518b3,68f543dc,872f7f37,b8ece85f,acf3c670,bb2e6f00,7df413b0,5416919b,57aeb60c),
+S(b1ef747a,4df39c35,4e67f27f,97b150e8,6e138cdd,70846ca7,3479819d,98cf4cd6,7afefc25,a30d6879,45f2b471,20b50b83,eb58b682,b61dc4bc,72c4e368,4f3c01ac),
+S(9cb0d6c5,2094f1e6,ff84549e,32ba4260,a93baf84,cbb9516c,68c25c6,4b67feac,3e8e7ebc,1958e60b,cb4159,16f7c903,d63effeb,4955a11f,cb470ff2,e8935665),
+S(d11f3d4d,6b18bc42,1692b7be,40589b49,b909ff2d,5659a058,4bf3af1a,7be76be8,cb42df3b,630010d9,fb48f12,e7ab607d,6fa1f829,1543b68b,5e959478,ffb6a8ba),
+S(ff6a9171,de273646,9d0c0b0c,5e7829c9,3aaa1ac7,e63a63a5,fa2788b9,888025fb,335b0b06,411d6e6d,7c6d69e8,4a900f80,5077bc7a,248f2d24,2df2c517,a9bc0cc6),
+S(655dd8ac,aa0cc2d4,b9543d3a,1c0baaf2,a76f7b41,caba22e7,47c1976c,deb15707,a726eb12,44c2af81,d6b5abaa,c9c117ac,75f2f6c5,c550915f,e005da5c,efcf746f),
+S(4ade0988,d4c2b0c8,e303dc20,88a86aef,b2893fc1,80c410bf,d9467bee,a785e3c7,7c2358bc,74de92a5,18d38766,d13d5d4c,2a0d551f,62996105,bc59024b,147406ce),
+S(9430a2f7,6f2bd12f,54d885be,3172f512,5282e84b,ab5c6bf6,7120a6bc,1e070db1,e8087617,943aa433,55684564,53d91a84,4a06fdf4,6a587c14,a2695c54,ccc3894c),
+S(72b9e511,c78cc26e,f9498e38,9a15ebde,cad6bb3d,ab08462f,f6f19966,d75ae882,3a8345d9,1a0b1a37,405ea7ec,cc427785,607b84d9,d64adb42,5cda786a,fc68fb33),
+S(4615999e,29a4f947,83617d0e,2847ad26,f79bca3,b3cdf3e,6a40e6af,f778fd65,5146f8c6,85b10eb,abf0ee65,145d468e,ed4ce176,705b3ee2,cf8e2f66,d3c739f7),
+S(bdcee951,41a500c4,8452f5e1,3833dca2,45f94f83,80ee6574,7197610c,5ccb4558,479b3308,fd9ae072,9f97d0ba,622bfd1f,71c30774,c9be1bc7,b6141278,3e649631),
+S(8a52a750,7dfa334a,1e285c5d,8c4d6963,5c3f78a4,79cdde18,d057d0ff,9bed97c,d4f40b1b,dadec733,5c264caf,e8c6d0cc,6f7d40d2,6a5d56d8,6a86b392,97f10477),
+S(69387f5e,1d2b3fed,1b033614,25486ad,6ecfd3f6,eb85d8e,fc272adf,6d154915,8a72e294,2be10088,f16b74b7,4327ac02,1aea149,84a25458,55edef5,2e5404db),
+S(7a8b4d6,982cdce4,c066b721,ca2730aa,5705a43c,84ce54ec,cd184ea5,53bc1099,f4460a0f,62bacaef,67238243,ee850509,d346752c,4a93f59a,5939daab,a654e215),
+S(7a32ba53,a2f6c968,56adb025,10d9036,27e945c7,51108465,c88b42ff,e96442a2,213af901,378b30a2,5272dbf8,9b847fa8,32e3657c,1e5af5f3,d49ddb88,f7c9d701),
+S(97388117,9d476881,84a6c968,e96316dd,4933780c,1c5b55ad,78c0de2e,aafaca0c,ab2d23f2,13ec96fc,856e6dd6,c73d10b7,5a0e1c5b,b901ecb3,79dc7544,5dcbc672),
+S(500491bb,8e971056,380ba6f1,a02b619e,763aaf4a,bd07f9cf,50f86dba,61833354,ad296ee5,b4c32ef9,728c1924,562c0fac,9360a6d0,16f2651e,16f4c49e,ab35e600),
+S(1c9c2015,bd266fdc,fa123aea,45428d07,eebbadb5,2fa10d83,7b4a831b,4ff086f9,73b714a5,71eba339,c58d8449,4637092e,9d44ce29,cf039427,de75b540,97916fe8),
+S(5a4361bf,44a082c4,4e87d4c3,4173c910,8a3ece47,ccf3d3de,f933e9c2,fe649df7,184372c2,fe0b659d,57ee278c,f3aaa9f9,c6f3e45f,28c8ffad,54730dea,4df0bc95),
+S(f6ed8161,c49f7ac4,931d90f8,fe41a400,367d8ab0,ec23b0c5,74886906,86f11eda,6c24c798,f1d88a2a,e2c7b32b,867e930a,41f425b1,ba59b01b,f971306b,a0b6093f),
+S(ba392129,6be5773e,a8b509a,408b556c,deb7953d,a5165db8,d52516d5,36cfcf01,4cf094a4,9c06691,bd11a7d1,864ca452,29e91f2a,60b1cf0d,d9bf1162,901cd89b),
+S(eb96dc04,ea36d6a,43823477,d4b6e3d4,a89da427,7d959962,3f31afac,49159203,17ce0e2d,6fdf1ec7,3808ff72,aa9d1fba,5038b698,c3f72214,9db254d0,98b714f0),
+S(5ee66f18,669dc60d,a3c7074d,c853c51,21f6c584,bfe5c2d0,949d73a3,24714f52,238d8d46,f4143d4c,e7c74edc,78d1fab0,a42e7593,7c340504,e259dedf,4b462433),
+S(71979eda,cc7fa635,91767e7a,57f8a1ff,eed003db,8083c41c,ed252c52,438b1e11,94e75e9d,4f3bf3ce,5ed2e8ef,9056d3ad,bdc9f9d2,4e51edbc,9f2b2bb5,90077c18),
+S(7a301d3c,f6f6407d,8e62d5c2,4afb8ddf,744c2bc8,d2d219d2,8d912585,51c23351,3578a307,3dd4766f,319d6a8b,190b8a8c,a85ea7ed,1c54918f,73293b5b,5964652e),
+S(8b76e056,31f5ec6e,33cc1267,9b49d9b1,16e8e06e,b3ebf91a,a3f239e9,8b188c42,9f0f4f92,a43cdc9f,f1d5b031,44586266,9b65d7dd,707de8d6,23dd8fa4,62c2d96f),
+S(7de9be01,b8ee5708,9fa0dbfd,69757649,4d9d2eae,756bb9a5,f9deedfb,d55a6019,8947c62a,fd4a1e7e,dd70af94,f09aa2ac,aa1c43ac,745cd75f,dd1618fd,49251a4d),
+S(d0766e37,769689c2,b55a3839,968e1eca,58824760,716c100a,29746728,4f6254c6,fe00274c,f3274a8a,8c529570,8b122d9c,a226fe8a,843920e8,a17f5468,ee2b0870),
+S(61e74942,91821765,e144ef34,37c24dfa,80857029,35fdb2b1,511eebc0,324e9523,a641a75d,8917abc1,fb36b5c3,beaa84d0,b4230817,2337f50d,78b71b52,f4373524),
+S(a726ab19,5125f8ec,e8cd1952,2facdfa6,2994c4d0,712251a9,8efd73cc,213773bc,2064d5d0,ee2b5cb4,5567701e,a3015c35,f3718700,af2aee6a,22202325,1fe65afb)},
+{S(64850a04,76870a44,2cfa57e0,4e4707f7,eccc5e99,12dbcb07,3b457317,717f5686,7c5facd2,91a6defb,a1837cb9,3bcbd0f5,bc37572e,68ccb2a0,c062a155,46656fcc),
+S(fc479625,fda0067e,a75631e9,c79999b6,dbcaf7b,e1b69d64,a75b08aa,f3ac871b,d550323e,54200c9c,393139aa,b8bf3526,45520bf0,d90f6ed1,5187682a,79515de3),
+S(a39b8f47,efba84d7,1b781439,f8c144fc,9b637215,26aa6b68,b55d6a59,137dc291,56c6dc,511a8494,b86f9669,504985ef,e88789b2,83e58916,24b9455b,d656cd39),
+S(172d5d5,21edbd11,beb288d3,4ee78e86,a1059bb0,5d781bd6,d9589f23,46eb7833,5251dd9,10553e2,d1476e70,c6d2cfc2,397ea7f1,210e54df,d2f61425,60bfe73f),
+S(e5f972b2,d1723e8,8bc6ca8b,ed3ec1a6,fce0e6ec,fb13cb86,efd61e13,24d4c41f,2e072ff7,ea3c48c,8653c0c6,595c2c27,d7953185,4e3e1b6c,8c1e7cd3,bdbf9ca),
+S(f586c6c5,44cb108c,edd7cb15,6ea36607,d411d162,730170da,51ba1c39,a1e33241,dd5425c4,3f49fcc3,c92753bd,dbfc4de7,f7ad4511,f8b720fe,b07449d8,8919888e),
+S(e324072c,8d3b5516,1c32264c,e2287b41,eb8edab8,356250d,b958c37e,555de216,4bb37975,35b72127,6ef1e62d,82608300,9c04b2b7,24655acb,c2d3a06c,ac55e7cc),
+S(1b76872f,cf8f2297,ed95552b,17bba313,5dafb896,7f2a7229,faf4a4af,fd416fa6,8c389799,32b146ef,87aff36e,4d6e1891,a2acf7ab,2f362302,d13e34cd,7a34adaa),
+S(797e7051,903abbe1,9735f94e,acdefaec,2f2c8c60,13a6ebb,d06a4234,14820bf2,ffbf5cd4,19e47bda,cf59491e,55d3a3dd,97d35b8c,1b824c79,955ff91c,81269563),
+S(e3e22849,a67edc06,10662641,d5975a4,ce59650f,e9ced88d,4865d63f,e0ad948d,551b701f,fadbb47e,ad4ad324,ebb01c12,c5ba2ab3,754c9762,cc840bd5,569897b0),
+S(50e49072,aa2ff6ed,2c8705af,1ef1b703,903194f0,2c91c0c6,5fdd46e1,2a01e887,b55bdda1,e98db862,6a283c64,e1e813b2,20e26556,921eb4bb,b72894c9,27be1c7a),
+S(d1b0abc1,e1164bc5,277353b9,84856cb9,1c55735d,9d475ae8,8cc743ad,b0462739,cf712d30,edf88915,373be307,e1f7e73a,244a8610,e7c6718d,112cc414,4058bda6),
+S(62fecfbb,c1532096,583a588e,cd7b390a,7fae6e93,a675d14b,4bc99ba2,546d5573,ccdd7145,780cfa94,7e4f20e6,1729ec09,6ba6d28c,c2a53ca0,65d060f6,1fd9028a),
+S(192e0299,75cab01a,5f5a8428,ca2c283e,1b300925,ceac8290,1e134c8f,97698d79,55f467bd,8d0db18f,cb4c8b72,2784ee99,8127067e,bd1314a4,22c063a,4755b817),
+S(eb5a94ca,29e28ddb,11907c63,fbf8fee4,e1677ab7,205c5539,b0b3675b,f5fb9b8,6e9bb010,1fdb591c,c65702b2,cbb16061,cc7b8698,bb693c28,e09e853a,fc00ca),
+S(4cff025b,579f9c57,c78bff07,115b7268,39a20ce8,f893e5b7,eeb310a9,c738c67b,d1531ff1,a839c908,97afac4,256b35f8,5bb31903,3e8f8e69,b2a9c13a,ff6be9c2),
+S(bb5f423c,77da9a2b,540812b0,1e899dd4,a100bf59,46bd9818,ed4c2e6f,103be9ba,d4851c37,afaf40d6,68de6a6c,3a1d9209,f0fdcd0e,98310455,61210c7f,a1a797dc),
+S(86066254,59e38927,b90d60b2,f9594e27,5e509366,f5678d35,133bb9a1,ad4b3262,40900453,bd36c557,10f5c8ac,492186fc,f5caa74d,12c69b2b,c28dad4,9e83e690),
+S(81d52fd2,14f2d1dc,c386ab9e,5fdfa5e2,99d57284,7f55917f,4468bec3,812cd638,8b131ad8,2f24d27b,87e73419,bdd9d41d,795b9466,9268a11d,c8b87e01,7665f2fd),
+S(7cbb1f2f,47f57e0d,20be44ab,2427feb6,18bc6b82,6e5f4909,51e1927b,bc596ccc,bb587bfa,d416ef29,aa36ff38,1f448f46,fb2fc0d0,a87e5170,8313715f,30cf3d25),
+S(3c6e6b89,2e897388,157d3565,95ad59b4,334394ac,b33a3a24,7c455d90,a4dff784,b79d7d85,2b62e00c,c340cb8a,d42b489a,bc372022,75563918,fc9b81b2,a1b58b14),
+S(dcad5a44,4c6ed0ba,2206a2ac,92e2f0ea,6c5fdf7f,28dc6bd4,7a6a48b1,d32d7e2c,6300d599,63fb36c8,f0d3109d,161ba1d2,9f718697,6694a11a,63377075,b944ba19),
+S(c8515e28,b0f7d1cf,6e3829f,8d0d43d1,cb382299,1f781962,b265b268,c09a0aee,f33e0699,9385890,5520fcd8,f06123bd,3429dbdd,cdad22f5,3e80d951,b620c70b),
+S(d1f81565,ebea70fc,6ee132b3,79e11725,4e4f84ad,50e04282,ec23afb0,8e24ab,38bfa250,6628029b,721a11a2,4af41f28,7a4f20d6,87a3c4c3,815deffd,bea92642),
+S(79c02a3d,93cbfd75,2dc01fd8,a4d83626,2505eb13,92f4800,965086e1,51cea673,aeb43c57,458510ef,202aa9f2,b904fb34,6350d4cd,ae8faa3,d246feee,8da21571),
+S(b476ddcc,6a6f785,b1b8637a,a22b1984,30574567,1bce6b36,ed3738d1,8c1c5f88,e71abebf,e2019b3e,99b27560,d4ea4ef0,6d52d300,14c462b8,1daa5a77,3ba73176),
+S(937b753c,2d7cd681,b1e48b4,4236aa73,96968213,b57c5af2,3d48b0d7,cf64523a,2d88bb55,e67d4ef,adbae06f,5f93288,2562b9f5,99b50523,e6e05cec,fb7baccb),
+S(7e719005,dc42e572,471177bf,80cf531,d31daba6,f2015664,d46c4df3,ee9840ed,80f9dba9,6a495938,74704313,613e3bba,70ef8e1e,83f2063c,566d2791,d79148aa),
+S(70d04693,54db73e3,780a4413,804f7cc6,ca1849f6,158c1b7a,9eded185,8071e826,ff96b0e5,4692693d,774e01d7,5776190e,7caab3d6,72cbc1b6,1623e87d,f0f96936),
+S(83bbd70b,f2794adc,7bddc8a,ab107e14,d5cc19a2,eedb59c7,71ba622a,53e2a603,eb92141,5fc3f2d,b96bde24,1d68e314,244c9a0f,42e455f6,3b8c09fa,fe3533b4),
+S(8f8ffbca,72942dd0,94b208b1,12ba36bc,c324dcc1,dee4de01,ad8dc8fc,ed4f84a,58fc0a62,a5c20df9,e0de3aaf,3944c907,d7c6db11,4976df5,e38ce452,e1901894),
+S(7d5fd589,955a3b87,4bec2638,19faa133,9d03ce58,2a64eb4d,643c42c2,95ab2c7b,deed7974,2d442ed3,d70ac86f,ee47bf20,9a8ec7bc,9d9a98b8,b02ff4e,a857db32),
+S(19e47a2,323d5a26,fa5c13a2,78ceca70,e46bf5e8,d9d0e22d,f228c15c,8fe4656b,bb439d24,789f26f8,6e5b25df,b40a9cb9,6b3272b4,d85e4a04,e6651443,e1e41706),
+S(75708952,9fdc2d9e,ab85a24d,d06a7c29,252cfa04,f2686d19,9fd04ef4,ecd0d304,c7f53395,8aaaec4,ff6e97a3,19ecf7bd,a53a3034,ab504c6,f02ccb24,2a04475d),
+S(30f6959f,468add62,636c1bb2,18c2794d,5eb2d907,3b7449b9,eb5c1f7e,a5c1b016,6fe05738,e8ff7b1a,d8527ea,b8ac47b5,35c61dfb,efda4279,382e8dc2,52893c92),
+S(7640da0f,4ddf3448,dd21cab9,257e6f87,304afe2d,fef9d58c,93c2de41,e9a7ddf,f1cb4a24,f553505,a660a219,6baf3485,6e8d21b3,6f661a0,baf2aec6,36805c22),
+S(1db0050d,dbcb4f6d,e716dcb9,a3a54079,3a8fae5c,53c630ea,aad1dd66,f195226b,50562f14,6f5c2949,3f9e2efb,d64e2907,f7845673,4b7ddf2f,977e46d8,42cb6bb4),
+S(2b5a8ca6,f1d94ed4,d68460c,ebf90aea,7506d3ff,9c71de28,908d05ca,eaf08d0e,6cac6a6e,6b8fe9bf,c733259e,7b4a7715,5a15ca6c,94a42a54,be686849,61a8e064),
+S(eac0ed60,87593dbd,3c88510a,c27123af,9fc926e1,4a829f01,9fa24686,1b0f9279,5599829e,ba8e5cd6,253cc3c3,8ddd5a30,7e2e38a8,2da09504,4cde7e55,3dcfafae),
+S(495c0e20,51615bf,278ecd84,508ae728,72a7e82f,88cbd992,20f2e370,1d46f9ed,ed5a3c18,27e3474b,c04b6684,bc754cf5,b8014720,145ae8b0,fc24c6f,9297b394),
+S(c74debae,32533089,35ad9c23,cc038b95,f3f15965,c46dd3d6,df61b482,ba65cd43,9f82e190,4ab044e8,ad645a7a,b27e0f79,e45bb7d0,9755441e,80d463bc,b25ad4db),
+S(c6d4d1bb,4b396ba4,a4393403,ced9a8de,59931eaa,beae1f2d,55c1373,77455ec4,c51f605f,101f038b,913300a8,9ad96bd6,d5e60dcd,d7702ff3,357ee1fc,6ca5b45c),
+S(a0f35ff7,dfce08fe,6335cabd,c642c2f7,9a4b6e1a,c95df6a3,b4694bfe,91abd1d0,fdec4844,90ba4281,b78267da,b6dd63c6,ad0ec964,96c42407,32834ebf,b9c822a3),
+S(ee231095,46b51ef2,547bcadf,14d57e1a,f4682dae,4611b67c,8d99ee4d,ab912004,dee04daf,3adb4d76,485f8e5f,bf9a2231,5e4bcb96,faf63f67,da257c4,5645d797),
+S(77fb6478,1d1ceb38,ed04147b,92e46668,bc47fc0c,73c6e677,a56c9fe8,89772810,ae42f6b7,d26702d7,44c3e867,6750cc7e,224e799b,857b6c68,52936846,6a9c35f4),
+S(dd205a7c,9a4901ef,3439a05b,56968951,269c8618,ba1638cf,b9949f98,d84ef11e,8a7da4f9,8a628f46,ca39d902,5e994404,dc6d09ba,8cc2d199,47936454,c024a73c),
+S(d4225a81,af1ad205,d1ff1555,cd15df81,d82d75e2,7d8b6a37,a7615c32,ffb932e8,3902c36d,7530add6,a88c6e6e,e426434,b9728690,c6476d33,cdca32a7,eee99fe5),
+S(237d87d4,2ab0b9bc,ad29bf03,f754d98e,535a3a2b,6a184929,ce65e18e,17eed134,bd7e8be2,8a125d86,adf47552,aaa6a474,797aa641,94edaf12,56b86a9,5057e480),
+S(eb9d15a8,76dff407,4ffe6ce7,c430e797,ffcdd291,34b6f737,b2f07cb3,7f2dc8d,8d975595,aa7790dd,d531e7df,77dac484,948d4ac9,3cd1e4bc,d3b7d9f0,4dcbd431),
+S(ab6ffcf,2681db28,7a99226e,3fea18e3,5abec631,898d7038,19c4721a,ae341e5c,a93ae653,4ab9ed9e,e2f50552,cce4ae57,1ab80473,38da0fdd,6a203f18,4c4bed0c),
+S(28b7ccc5,53c5665a,1daa0150,102a7eab,8d6db154,b575d2c2,33d2ee1e,6fb2231d,a5eea545,a89579fe,ceb2af8c,e67304c1,f1cf936,91ed7b0,4e461c3f,72863921),
+S(db7e3299,5ecaadc1,e94ce255,2c04cafc,c10e3ac0,a88edae4,bcdf941d,6a913b60,8d2cc29c,5a23d74a,76d39caf,fc026a0d,58af12be,9202f250,da8e7b6d,f6a701a4),
+S(a030b7c8,169eda5d,ccbe9258,30ce03e0,aa89fca3,654e70ba,f9d9cf08,bb2a95fe,4a16e85,3c8efe30,46443cc0,12646aa6,fa030141,1a0b6f70,dafd1cf0,61ef977d),
+S(580150e3,ea63bcfe,13b1202a,b31043b,4d581eb2,86b0d985,116d8b06,3a087325,c4dffb1a,4f7190,9807e070,fbd85774,194d7d2,99f203d6,4470f9a8,b8a3c245),
+S(d23c6b7d,4c455c41,edf6a923,33fb1b66,43fb00a7,f5f9e0ff,9d96cbc9,af10e6d0,56a494f3,91b77cf4,3a16f72c,2084c3f4,7332893f,de676cb4,3ae527de,eea4835),
+S(91a4fdd,eafdc6fe,5630351c,a1d3270f,3040e70d,7c2ff55b,2af7e256,ba853510,59b05210,6c8d327b,24cad438,891bd72a,1b71ac8a,15c9970,334453a1,a8926055),
+S(f297dae9,fce4fd6b,decd1c54,72f86b6e,499a6f01,2468477e,316a689e,62c5d5cf,6a8561c6,6cf1c950,9fd21b39,d27e71b,984ef01e,b8c1fbe0,d14a76f,4153f1f4),
+S(c8bce284,4cec327b,83e979c8,1c7bb30d,4f5ec633,d64269fa,8bc33ca5,aa4b72e5,71b4a02,e529b17b,6550455d,e5f6db29,59b59cf3,7fb45e24,ab69098a,a71f6bc6),
+S(18650112,b904e937,5074377d,ab19db9,88771616,b47c5e90,93e16eff,8d237969,c464be51,dda23669,ef352ed1,e8eda746,3ee2c9b,f56bc33d,7ef464b5,f96c7b82),
+S(58e1d8fd,c85f3d28,829cd90f,f968e826,7ccb6aa0,ec8d7002,d78d77a3,76573d48,b76e4320,40359597,60056ac8,6f953e46,6c335207,6e56422d,28d6dade,f7280826),
+S(87ca9444,942ca103,5bd010e8,f89ad6da,7158a16b,f5a7774d,84ad7e2b,91130d27,f14dc3ad,8f102cdd,6e192f9e,604293e8,c80211e4,a6b6e78e,fc8e7343,84352a0e),
+S(ae61aef7,e240b692,ecb12ea2,b568158e,8da85c8,1c902d79,db82aa8b,747ddf5f,8fa838ed,7248894,6ae75ef7,b4809546,7bcbf668,9e5bb460,2f711f17,6501d3e7),
+S(5a91a937,f5a36f44,4a25053a,2bf2a374,aa6118b4,d7f18ffa,1b641977,d761564d,8d2be259,bc22caee,3d0694ac,b70f4a0e,7b7f8edc,b2418486,9613e0f2,7b2e2fd7),
+S(8342a29f,f3739b81,f77918ff,d5a74f20,efd76175,6456eab0,aba2af96,b95b1488,5e1280f,3fe41f14,3da73a56,c11df7cd,69f596df,f98204e6,75ec2601,7f7f25ab),
+S(bfd9e9d8,dfaa3fa7,a1bac396,45ae27d7,e0a2d2,aa4022e4,6df8d408,eb06c3c2,5ab07b07,1acf15ab,186836fc,29fea177,2c6ab202,a72bbae1,78c4dd8a,7566d025),
+S(ae6c6419,ad0fa0e6,56fba661,834b5f49,2299c610,be8f60b9,815f4775,7ea4d9f2,95e9e9dd,ffc81a1c,112d5f3d,d59a298e,6a3fbdc9,c5fa9c00,37394081,e9f965eb),
+S(12212918,77ab7009,96eceb7a,b7ae5b7b,822e92b3,e99e0308,481a9936,c3568143,b40c8be9,16637b33,b428f521,b5c4395,6096dcb4,2504bfcb,5780d42e,984f4474),
+S(4cb67c85,5964d298,667173a3,3f3bbfe4,5d2f1e07,72eb26ba,95fa961b,41728597,de8164b5,2af252e0,464eefc5,7a65868b,1e0d16cd,f9c5ee7c,7f13ef2b,1f555cc6),
+S(b882a78e,a897c609,29c13dbe,b0d15fa8,3b36d895,9ca15b43,d8c8ebfc,cd2592f0,13a114f0,8bc83d53,103a7327,b92e2289,d18b6cbb,39a9571,16b19c8b,77a714fc),
+S(7f77196b,483fa953,39b28b5e,464f42fe,e3ee50fb,3384e401,ae7e5a63,70544479,d66bc424,8370ffcd,445f1aa5,38dcb965,68f51a62,4babede2,3f59ad63,8dfbfe36),
+S(d04af491,28f406c0,26c8228b,a270962a,7c45c5eb,51c3cbb6,856c8cf8,d2da8959,c354ae41,f03b906f,74b9c259,5a675bfc,7d6389b7,1c181e6b,1b0bd779,b9e47d71),
+S(20f6bd64,cde466fb,e0ff2436,4f9d02a1,d7ad2a92,3bafafc,67a1a154,f1a572df,13dff561,a14d7143,369d74fa,c7872c6e,f57d1e78,b0211f57,ad9a2363,19ee4f4),
+S(2ae2e2e9,b53d8788,5889bebb,7cb25669,e75ff2ee,ba305324,a2473937,1826365c,6e52daae,1c2a50af,dc37b1ef,22782d72,7a10f128,225eb816,9b813970,fc14c68),
+S(2b50215b,7f3489e,c313d5a,14389c02,1c72b1f9,68ab37ab,d9f4896c,6014808e,50069279,8b2a2226,defcafdc,8a8bdd38,dd7c9a13,f5a2157a,4d0942ba,5453a859),
+S(d4bb3a0e,7dd530e4,ae3bcc5f,4001686b,ccdc81d7,6c79c131,288bc2cb,76c72717,9c58063,898cd752,23187ac1,d446c8db,c2918fc4,632c1bb4,2278c0c4,48e97d19),
+S(82cec682,b714ec75,6d3348f3,da10fe60,885c790,99822f33,d7811cf8,6077284c,c1f14f0e,670e1bc1,ab604e11,8f3c2827,7c86ecc3,79e97e39,6776594f,b4750f6f),
+S(b08b799,5cb8527b,c4c976ac,a6675f03,a82cff9f,309eef60,e78ca418,71486c5a,70df1520,c27367ce,53499421,35fd0daf,ba7df181,f66aff88,b83e12f4,f1b57411),
+S(44541703,b3f11462,fc2ffc79,b28237fb,3f6d8611,44c66891,e9cefbd5,7f75cd9,e9b53337,162c5629,eabf13c7,f0433cdf,dc41bd64,9238b810,96d2c8f0,77a5f165),
+S(5726f775,b5164bc8,9fa8dd60,267615b8,d5aa1be8,540ce3c9,23271a65,8dfde543,31777af1,58e103b7,db7750cf,37f42dcd,6a155880,7f5d426d,1075d8f5,9a83c9b0),
+S(c9993bd,7368efbb,c20b1082,354fcece,b072a3dc,a5fb5e68,73bdc8cb,94ca2b98,3a6b4c46,73d3756b,76d0ad69,701af08b,3f4bd359,3c5ddb40,94eb9c25,776063b6),
+S(8b12af05,efe4bafd,bab8b73d,830db99e,c3212e17,bf2f1245,86d821da,82a11b9f,32eb833d,79e92f26,6bfe6840,ecfecdd7,ce000f89,14326697,562372db,66d36ffa),
+S(c7986b3a,f4992e69,24363fca,fa8b681c,4cf60003,beecc0ed,af312080,d9329f04,a8a72ac2,f76dddac,faae1172,82965c24,d8710ad5,1a1a5863,5dc2778f,22ca0774),
+S(b571af4c,b8fd57c6,2ce4b52e,8a38305e,b3c2b5f7,1cba5931,6dcbe676,3a219f07,4c028e68,9d95d4c6,b974fc05,e7a3a264,b1410fa3,2be80588,32986d4e,fc9976c),
+S(412a3d77,6113d30f,fdb4ac2d,1be60a3b,bf93fbde,c837fcd1,d23fe917,811fe6d5,d8dccd67,8856db2d,c698ad2f,269aed7a,3c1255de,590c8208,b8611153,f18faba3),
+S(33e955e,9aec13d0,c4b8a61d,455f784a,4d22fd0,f935d7e4,69a88dc5,44c89426,668a62cc,9b903539,a26d8de2,44310f07,d8304b7d,2ec1f4fe,35251b82,220c0cf7),
+S(c7cb9ff6,4e7c8dd0,4d05f9dd,a7f106c8,a9841fa7,1cd25eb0,2866a34a,74ddc670,d436d69f,c42c21bd,b64250f,19a15191,bc228b35,37469444,717f4c52,a4e9bfb2),
+S(9b6fab7f,f701e6ee,efebb2d9,3c4432e0,826560d9,8aa5b0d6,cbc31c5d,190768e5,f01de8fd,bce677f5,5602113b,90853f6,da7f8029,beba0c02,d20b599d,5646d773),
+S(48e25e2a,cfad81b1,315385f,25c958a3,26c425a4,9d75c2b2,1a0233f5,9a830525,83a6accf,d0d149d2,b5dbf766,2bcb0bf8,d725753d,50615657,2a0807fd,882a4d6f),
+S(14690774,db72e162,667b9033,be102fb4,f1fd648c,858dfc31,a8b17513,74bc9792,d919061e,6c624203,1f0641f5,bfd7466b,ac55d890,a3b1175,12a4517c,af9a6cc3),
+S(941b1555,4838a75e,7762a4d8,fca39187,bfcaa3fc,9869df23,93d6c77a,2b956d18,348db67e,845f7133,aaeecf17,ab75960a,954d0d2b,41ea5e15,be098ff,c4a43d09),
+S(487eef1e,77bb13e4,821fc8ab,c9f4448f,672d09fe,5fdefd84,2a9931c,477ae38d,eae4bebb,e06b75c4,b6d37238,faf0237f,5b035c2b,cb084825,93053964,33bc4b53),
+S(8896a835,37276df4,40f3be94,41267b4f,4160fbfd,51e3f01a,f675387f,362b0ef4,feb71411,db1429f3,5391993b,e461df0d,c3beba79,4b1b90e,cfdb9338,80e5373e),
+S(c6f6f864,baa97e54,69407b28,bdb459db,d1af42b7,19da64db,ba274ab1,58da440b,db83cf5d,feb196dc,5023736,c43c1d46,d6ddba7a,44805f36,69f639e8,f2759a33),
+S(c901d3e9,1f590c4d,547b5715,dfb1a61d,f898215c,2be28af4,a4d9d229,7852c00,821c673e,77517338,da3617ec,53213d08,9f695c29,2a5ce31,c60a377,428db6ea),
+S(19707c8c,3a276dd0,a54e9cd0,b241f54c,470b508c,ae773fdf,20810696,f9eda3e4,1d8832f7,92db5867,73f1d260,39877814,411f502b,899282ee,ff205495,f04d2119),
+S(e197c27f,cb20bca5,6c593eb8,7d677048,5b70596d,4f35c504,acc18bbc,49a54230,85995a28,27b2715f,ce2a682,b727e7a0,4c25f412,407bb99,20cf55a,f756027e),
+S(5bcb759b,56bda507,23e45cec,4689f03e,d04ce46,497f2409,1c5a93b,3799ff1d,b068ae2a,47e605f7,f9005545,a563ae91,2f841713,15ee191b,d81e0d58,6d68ee9c),
+S(2acdf086,f613c0fe,1299e13c,47568fe4,701f5831,1f515c74,32ebbc0f,cb0c5dd5,2496967f,5f3aa9a,352cac15,d3fe9880,a862925,45a2bb5d,7600c1a3,ccdb6374),
+S(268c185f,5d0d2fe3,1c1e2850,b3c80f09,f896134f,5f410524,8edbbd5e,bca357b5,2e81765,ab1c4336,6f782895,35a39076,b8501008,41c574df,d6d25b29,707feff2),
+S(b6de69ac,f84f7cf7,48d50a05,dea4faa8,9655ad2c,98846edb,e166e2ef,de4483df,3c377b81,ffa03daf,823a5da,e0d4cb27,77b585be,d5fdb889,62c3a3b8,709ddc9a),
+S(bc71d28c,ecd81488,5a76720e,da59deb5,f6d4cdb0,36b2bbb1,2e566d58,2843bd07,501055b,52ddb633,74bbefa0,62ee294f,ced29ac7,4398a634,b629532a,3f50f1da),
+S(9091a40c,3a3bb70d,d28cb8c3,ade93,910b783c,40b4a2d4,a48facfe,50c524b7,c1bfb69,3ab9ef96,9eaded97,57ed9621,92344389,e62f6c9e,47c51d8f,b75c1436),
+S(46a3e416,8ca5d225,1e01eef9,6cc422f3,da56a59,81fd11df,4ba87e88,ebe6486e,e3630232,96c0efaf,f93b3d4d,2367ea73,3d776180,d98abc44,94d1032f,f49dedef),
+S(869daf22,c0978d91,20595281,569f2a43,b3afd058,9e2f29dc,c0644dda,fd26ab6d,58f2ff45,bef8eb75,244e93bc,93d58778,c7a1adc8,c2599c04,635009cd,12f8a6f2),
+S(1247ffaa,76f92f50,2e4408b3,2d373f38,79a93634,ced87989,c3f666ef,ffdcb366,8dc9de29,3267dfe5,1966ab2,9462d5c7,d81c205c,536c6eeb,4f2246e1,1848fafb),
+S(e25575ff,bf62e7d7,aa64255f,8ad222d7,4ce23ab0,934a3c,cbb80d92,7fd98272,c6c749cc,320892c0,31b3ca54,3920afec,90217d17,5397b6f1,1ea201fe,414c1d24),
+S(d02c3fc1,68bba27b,ac38bb2a,4fc7ea99,66e8da54,75f9dd9,fa131fb,d2862057,d24c229e,85b30ff8,80b87f6b,ca145250,f4f72907,ec33f51,94c2f8f4,13a8932),
+S(28c4002f,5f1fcfd8,d9e13789,d2527f5b,d2788649,72d5b12c,37dc5c13,b0ab243f,259617c3,7c84d212,2ea7b4c1,33118fb9,9cfdbbcc,db707ec,e99b37ac,12380123),
+S(a4d02f63,3f6edcc9,88970f4f,e8b0e639,d07cf277,1a6173d2,1e54594f,65b21770,236c19a0,4bfb2a49,98c776b3,2a2dc4cf,7e91293b,4bdb7d4b,a0ed62a,64683bb),
+S(f28f22c1,c3ef5444,fd373435,23e97c40,5d3d19f7,21ee5bd4,53087e95,3d2d006f,fca3f966,a264a422,3e861dee,c5844b99,8f245a11,48301797,db141374,128ae075),
+S(7ec145c9,7f1bccdf,ab49ef42,1feaa816,e7a6efeb,ca371e4a,29b7950c,ce8b10e4,a278eb3e,1e9b6d14,52f60e3,5ead3083,114ec862,53101724,442482f6,4fe7f997),
+S(66a1296f,f7700439,3305a768,bc9712b9,c6a8b79a,a4211d82,900f39de,3cad406f,968f1ac8,70766942,67d06a0d,655279aa,6110ccf7,7ae73873,4a0f4ced,2848d887),
+S(f9e2f7bb,6fb1c6fa,760ded51,d465ef1d,b1207d97,660a360a,34be4dda,c5ccf177,48df22b6,c18fdd1e,213d5a1f,a70084df,2419d324,6811f90f,efc5bf8f,24f25e6),
+S(f19fcd39,2cffecc4,4f0a9849,6c0920b2,11ca3208,ab312a84,a87bcee6,f6d5f6e,df36cb00,33f564cf,c2e1397e,5d38e21e,460b019c,9bb86ad8,6d4b9e01,53528261),
+S(da3bbf50,f63c674,245af2dd,ad0dbf7,7644d069,bfad635a,f6065c52,f6b4b1f,e6babe9a,281a2a99,92b0f5e2,a1377416,e6d143a6,a2de5cd7,dc91eeb5,b3d0c4f9),
+S(d5bb7b31,cf5345b7,8c6c0f9d,bf94bada,3d917dbe,2ba7bbf0,f65b2be5,eada38e1,e8103661,6c69aec4,31c7260c,731a471,e236e453,dd0733f1,8e5d1204,bcfabe61),
+S(b1129318,36da4fa4,23ae1331,b1adc768,f1460e0e,22331fc1,4cebcd25,85d40d7c,9f8b7276,27200133,b69adb10,ba95989c,22fbb25b,723dfd60,7d1f4815,293e0856),
+S(5bd95654,67d6794b,fae7bae9,df0cc02b,a0dc7ccd,cc5d98dd,5ef33d01,99c10f41,867b8536,363dbb08,234d6be3,d8b25a4a,7caf5044,2546d3ed,8f9d6d95,dd279619),
+S(cab5c72e,7561a912,25cb65eb,edefc6b5,2e36caa,5551a749,7ac30cb3,149e6b55,f88e4081,3a6336ff,82cd632d,53590df5,32e3967e,37ea5aa2,bef69000,7c683996),
+S(f3198dc6,d55fef1a,9273d311,b0365422,ae4a4c9a,2d2e94aa,1c4d081b,2bf138a2,aa2554e2,8ad481c0,d8376221,d15c3937,13f0553c,97b4f8cd,7b341c5c,72b4123),
+S(900f4005,d4af3591,a1f518d8,2cfebf0c,e11f6a0c,8ab82367,337293dd,c823d8e,dd729fa5,d0fadbb8,c294306a,e0e2dcbf,9def32a1,1d58ce37,cd318e85,63cbc99e),
+S(10f24db1,481336d3,25716449,c08795f6,efd8e3,f49fd445,cd5dfaaa,58a7ca05,ebdfa0b2,75c6fa7d,79751a4,e66b8a0b,f92852ae,bd108f19,a6feb9e4,9a49d936),
+S(4babe89,ec5350a0,2ff673e,2b6fbda9,a1e826f7,ef060396,af08bfcb,8da15719,8415f595,ba1d8e7c,e287fcf5,bf386432,5a5a965a,a5ded5ff,4f9e85cc,8a287228),
+S(212b485f,e7f39183,1605bbba,6b32cd0a,e3dbef40,a52d1adc,91362a0b,1fc783df,91a67656,9eabb6ad,dd13a646,c07b5ae0,f93c942d,6be6e96d,3d79ba89,5a1ef56d),
+S(4aa0d59b,d8feec6b,507dedcb,eeb3feda,ea98fa96,4cd72734,811a72ca,d1f4fdc5,3d487788,3608eea2,dcb5fce9,dc5d25ab,d9bdfc41,ccdf7391,7cde90ca,ea6fde61),
+S(dbad6aa7,b7e547ee,8c97e30,d6653c8b,9bf7c37e,679f8ec9,b74ceb24,2ef65c33,3d39eb67,c276c7c4,24b1e367,e71de6eb,dd32e624,b957cdfa,35081b53,510ffb4a),
+S(e0495f52,49e4394c,27d9f2e5,e01c59d2,dcffc868,e4be4ce5,1fb114d9,4607901b,e77ab12d,732e11b8,c32a18c3,9c8931b5,f780f62f,7ce0685f,3d921e96,7d21de3c),
+S(aef97af4,f923b5e2,3245ae92,9a0baaab,6c14d1e3,bcfaca45,a7c6dd20,58c6e2cb,83e51238,a46575b9,183635eb,cae26493,25acd694,8c04b911,d05c0e53,dd9c61cb),
+S(831ebde4,2fa1913b,f4e036ea,73c22b97,916a61db,73918efe,4f94da72,e714235d,60c29914,c09663f5,e6af5b6f,e3b8da4,80a179ef,70da6c98,8ac12a75,10162124),
+S(e4db4221,e7ab4db7,e473572,ec6034b3,96537815,2d1d8bdf,e3ceed44,2f24dd2e,359b878,b5bd2f,53f9a275,384f727b,634894fe,a772d1d2,72568a4a,a4d83d50),
+S(2f144d89,972800e9,e0ef550f,da814390,9a106ae5,6b2b9dd,cd0f6855,1d824570,269e925b,ab060ccf,84d4c79f,56a557cc,f476b477,9e73a4b3,872875ee,26388dc2),
+S(b3638ed0,d52b3292,f7b953b9,7f6df07d,8d1d5c3d,487261a8,8c25a2af,9a13cbeb,54fa96f6,8f475bd6,5515942d,b8d6f208,99bac252,b042394c,fc73a7a2,adae3113),
+S(48c7ecfd,5dc8eb51,7827fddb,2430b600,ccc29edf,906b3db,be5151f2,590e56bf,85e43f35,7d9f46ba,8e5a8903,a75d6d36,bcaaea65,1666b1c9,b7e7dc72,487906d7),
+S(963dda96,74cd2b15,84c677c6,dd6d91c0,c968d541,1941f5e5,9a2747bb,4f6a69fd,5ae7f7ad,fb515e1f,7790b789,8d2f801b,b764de6a,f5c33fe9,c54ce712,e4c23a1a),
+S(6a3c5404,e22a666b,77396b5e,5827643f,ccf4e3e1,7b8b7c8b,6ad35fc9,ae21b1a2,780c9b96,5220c67c,3c8f8e0d,fe57f1df,67ad445d,4c2f0c41,483d9a32,d558206f),
+S(14c13d08,209e5619,df06c33e,ee8289d9,628d4ca6,141fd46a,aab75be7,25a79c15,7acdf79d,b5722728,cceb5416,18c1555,4d833aa2,cba5be7c,5b56ed26,7c323bbf),
+S(5c83e244,4ef9d09b,d8d648c4,37af0180,a376173d,4b6a23c9,1791d211,f4ba0973,8a041c51,d8001b77,8cfdab74,ebcea960,414269c8,50e52776,61da8c55,2f06d765),
+S(824300c2,d17d63cb,131d489f,63c914d6,75120933,667be49d,e0950587,13cd17cc,94cfb246,f97bf2d6,e9de7b17,fbbe864a,521614e5,1cf6eff0,9f949657,f60c522),
+S(691f9af2,1a0e7506,f16acfdf,ef22fb51,fa16e068,86d4ce5a,82bfd069,7fed7406,33d1d8da,91b28358,913089ff,dd0dfe0b,1cf5c3ca,1b4acb43,5223e353,5be8af3),
+S(a0014691,2dd02b0,bf8533d7,60cb656a,eaa87ef6,93959f13,df81028c,82025aec,644e45ac,2729f6ee,22388317,a18381db,e1675a35,23ab2820,87afb9d1,48f777f7),
+S(7c8f565f,228c2015,f1624956,146fa45c,945f6bea,b69e1b9,bc8401dc,f95d3331,2491f474,81df8eee,6b97f82b,48506dcc,fbdba731,44dc6e9b,29a1606b,22bff452),
+S(bae86f26,301c873d,2f5cb288,7b2dad60,161410e4,db4b1a49,6477c58c,4817c582,65eeade1,cdb0ca0,14d50596,6549039c,a0c6e43b,4514de9b,fc222c93,180a7bbd),
+S(aecd8a88,4bc42d87,b1c49637,ee23c3a,364c04b7,c16ec871,11c9b447,81116c69,fbe871f6,bc384cea,b894b0e5,837a6da0,98f8ab45,72b82a15,b7e7a058,7d93350a),
+S(51388726,2e51e2d8,9c5f4ca4,7a6d2aee,3ec63b6,7ee5515d,4bfbdd82,6318278a,319c5fbb,2cc90ee1,3b3c980,3f2ccdf6,18d9f3f7,d09cde94,12779499,9ca87b3c),
+S(29826f1a,27d4f62c,9f891a35,82ede6c7,163bdd5e,22f10325,6eea348d,cc4f5cf8,3f473cd2,9041dc75,6afcedde,34fdd6b2,82e3ebc2,baa2948e,774965a5,6d5c6b5e),
+S(2d36c3b8,f293d2c7,80792a15,89895cb5,9b33d8ad,362469af,5777f0e0,225f2941,bf0f3c33,6ab29ad0,1bb693bc,249cad79,63aab00,97beb92f,ff1d4dc1,cf1885ca),
+S(b7f1fe36,faf18532,34cbaef9,a45d47fd,26a6cd9d,2cbb6424,7f0757ce,3bc0338f,f86de831,ea68826f,925a8401,5ebffdcc,dad4fbc6,9d32b264,767ab067,c7b1b6b8),
+S(d254e76c,41359c6f,521a898b,d55ab42,208b583b,59761c54,e9dbab37,fef84285,d504c24d,7955bf0,2bdfc187,bc8eefc2,42b65db7,43e9439e,3f5204e2,9cec288e),
+S(88bdb44c,6999ca3c,8d3e8fa7,61f343e,7a9a5f15,577e514e,809af06b,354b8971,c7cab922,69bb008f,cfb1dd08,b6576959,e0593f76,b5aa45b7,899b305f,e432cc7b),
+S(94f19750,6ae279c,772b1c5d,17146012,cf8582b1,973c140b,7aeb0bf9,3cd21ef7,1e9acd37,9e7f2dd5,a6df7a9f,f4b757e3,369aff72,341ba963,fd984259,6c615de),
+S(f5b2f65a,16322443,a4ed65d8,7fa21983,25f2d3b5,523cfc11,39f676d0,8953680b,7f6c8197,cd730769,2eb466af,8c63e35b,1d4eb84,fc83d22d,d5d1217d,10e06ee0),
+S(58e85669,c5f76dff,9b5f601e,3d1a15d2,c022a5c1,389dc15c,81657f8f,e3eb1be7,4fd07587,429bb7ce,3903f7fc,f3356282,24e17eb3,e256fbb1,32f1fcd1,e1048f05),
+S(29bfb3d9,d116ab87,407376b0,f8fc607a,ba8a9da1,803479e8,a7ca8fd8,ce96a822,de56238d,93995238,bc6c4b94,f03823d4,a7b690a5,24d01e06,374ddf4a,2e5589b6),
+S(78e32283,983fa295,f6fec0cf,e34ee0fd,83541350,e50d5948,8760279b,dd54cc28,8ce8f6fc,d58a5330,595cb9de,eaa7472d,9cc02c4,c7dad678,74af6,e4a20f34),
+S(f70d3534,ef29e626,84b84023,2e69e806,740b20ad,ea957ba4,41cc06ae,cdd4ce39,5cb415c4,7812684f,971026ae,21f8d1dd,377d7c27,a91f8d49,90c96adc,2d570c36),
+S(4dffc775,38cad4f1,2e87a8ea,44ea868f,ec9ecb0a,a79d26aa,6db46522,7244f006,7afc7426,9d4a76db,2c243eb5,a89735d7,2d91305c,2d44acae,335fc4ec,7cd5f81c),
+S(3fc601db,563c119f,9c3fcc60,1005f3d,63c92315,5bd786,9092cafc,237c6c15,4ce31449,bb975d34,5898d06e,6d2e463f,e8e84835,7bde361e,eca2c999,6982735c),
+S(7a74384a,d0423c88,4ca797f5,1d62a152,4064db4,c0b5c925,47739139,5bd9219c,2b9c87e9,53965eb0,d5708dec,58a5d0c7,d698e51b,b6d2d45a,b174c9c3,4eba7f76),
+S(76dbd3a0,2ca25871,609eace1,6ae2f814,8b256a09,8cd74d21,ae6b0344,16d542f1,c95914e0,5971f888,61800a05,ac946af0,99e0758d,78cfd058,9347ddd,8000bdec),
+S(ed159060,2d63fe28,5b88813d,a6930f49,65dd3290,759b677d,ceb9b213,2340475e,894e82dd,1415a206,f3cbe2b7,3b7043b7,1adff71b,58b74c6b,2297ba54,2e1cccd1),
+S(74fc673f,4a41d30b,d3ca4b63,b850d23b,8e1b5f2,6c37fdbf,12a83b9e,9c896ee5,8d341f30,c67403fa,e23b7502,91c35064,ffdde04e,ea52b3aa,3003b169,68f1c95e),
+S(78c78ab7,5bf6ae8e,d7836957,e8258a33,b88b9cf3,53feac8,e3a8abe,59307600,95c6d9a1,3c9b637e,35c301d5,78534af5,777dde51,6396b017,6155927f,11db8880),
+S(4d694817,ad756fe4,2cc21193,d4e707d8,ec458304,291db1bc,c38dc6c0,52f11194,869b495f,49bda0df,b0b12c00,e19c7cf2,14e457ce,66cc8e6,d93c5db2,7a91e1),
+S(ac23df67,801e05c7,d283aa5f,ee2dc366,b02517d3,559123f8,d093de6,a9d61a10,e7e7d4a2,1bd85ae8,c88aa4a1,c5cf91b5,6fc2ec00,f54d6ff7,89e10103,7ceefad1),
+S(10c1e9db,43b60e88,379b2ee6,566a53a,3341c12e,8d5d6490,ec5ae5d8,eceb1675,2fa61b2e,26557d26,f496ac8b,aab81dd7,16983978,35abd7e4,4d5b11a8,8d7f3558),
+S(55ac4cab,1aa3465b,584aa94d,bdcb9eb9,3cff7159,f8a139a4,2504bb27,bb618854,cbe23bc3,8c553ad8,fc9fa619,b96b5de5,90463240,944d2906,41a14b56,cbb28844),
+S(4afd69f4,caedff00,601225ac,9bdb192e,6c17fb45,62a28164,15929e64,249da79d,d08702a1,95f9abfb,47296d6,c24981c5,db62e8f2,96ebabc1,1b4b1612,c9478a55),
+S(d70b4279,b68e2135,844a45b1,814f1c74,7eb8a5cd,100a6d8,8b12cc79,bc98c9aa,2728845c,c3e20846,a7088f35,9a08add2,4997be96,1327b54,a26ebb1f,95641efb),
+S(ab6bf873,7d0321cb,bd2548e8,b81e8070,ad449761,af21a945,9ce2e17e,bba82bec,49bdc2a4,8bc574a6,9577cc51,91267c5a,85fdf00f,ecc5c538,688dcd86,f9d039d6),
+S(2e01933c,1462cfd,b8c6f180,c7d633e,1b684ec9,a3011aff,573ac22a,aabff3da,f7c0c7a3,36e576dd,96b83111,9e3bc370,3b94ff45,d50306cb,4acdf9f7,d8126ec6),
+S(9ce6a2c5,cd9dda93,2fd291fd,30e8e846,63720189,4a70fb34,9361bcab,263b4e18,f1d503d,592be1ea,98ec3218,8e61ed8b,c2c94e76,5d42c72d,4fd404a3,83412251),
+S(626aa071,a774d04a,bfe7cd21,448392e4,a5a3d2da,a2e53dc0,93fd8cee,78f82bdb,a666518c,7dcbef4f,a0915a66,ce331a4d,46867af4,3966c81d,ad9d2dd2,43d30fa5),
+S(a6fd685d,4ceae2b2,e1de2177,dae1ba3c,41822896,22270c76,74118916,1b51ea7a,73c90eef,ee517cf1,4f4afdf3,b0f58c8,b66ff7f8,c59a83f8,49b9153e,e29a5ac9),
+S(ffc5a16e,cd27880a,bf5f1931,ba61fd51,57396ea1,1630577e,b5e12eb1,e9fd9826,90abe5e5,e312ce4b,14c6548f,bbe2095c,4e146bf7,c25d4022,c017242e,2b057afa),
+S(848ee3ab,8e9bb2e0,745ca530,a6231a00,7a41d685,466bf798,9ef900ca,18407854,e1b0d35d,9f44e0d6,b1c8b148,ae5efecf,320bec28,32aaad80,5e1c7812,993afc41),
+S(28d833af,476daeac,27559042,f7e352f3,4aa2f30f,b7ffaef4,26e41e28,d11971fd,d0a0338d,57c2f186,c4faaa78,eb13e931,8f8f6d7e,1472ae68,40668e17,94d31802),
+S(40579821,9bc06e48,88b1056e,270b19c2,4ef1278a,d415d3,47c7865f,98bcc237,cc9ce014,f853d620,83e18c0a,2fd36b0e,9eb7d265,b711fd5c,6d3f809c,b86f34d4),
+S(98470fbe,636eeb22,7b6d425a,d7077b31,9384ad8b,9327d1e7,139a33a7,cf5765e8,92d4c695,5837771e,9d69826b,1445f09f,bc610387,d23a90a9,773113d1,78d471ba),
+S(a9d28158,a84ea778,63c7dd75,5bdc6b60,3d6a0d6a,7cf88e9a,b649fb32,44aac2c0,5d628cd5,38824a6e,25477bea,12962465,dbe281d0,bb7f5db2,78bfca90,e5d812e6),
+S(7dea83c9,13fa2478,fb03c1f,459cf002,98adbc39,4dedcea1,c90dc05d,5a56ae02,19306ca3,7f768ad5,9e70ea0d,c811adf1,a1e593eb,42bd8d9e,de0c0673,afc1260e),
+S(2ab32555,3df0405e,e5576b5e,9965e488,dfccd677,63b03dfd,ef3255c6,7000ce2b,4fbd0086,10d10040,af8a6e80,a1525d88,d8e44ca2,6a1ca8a7,d6eedd35,c5d26ef4),
+S(d59e876,ada6de89,fa87dbdd,43b2db0a,e1c1ed01,cb0a5d3b,5fc5cdec,ea52d069,b7923636,a2c5d928,7722673f,f759ec4d,3dbe9484,b470e14f,e28030e2,f37c3bd0),
+S(8a69a111,7bdf0752,13f53f00,1101c594,2d2932ac,789c9b7b,15a57640,c679082d,5ef32f62,103c59,8ce35443,5c26f1f1,9ab21ae4,ee8e4350,60aa910a,99fe1633),
+S(1aee31cf,451a516b,24f43cd3,71a1b93a,6a04bb09,74f73855,1120c6a9,d27d4546,f6767dda,c1204f16,e31cab5f,ae5b9357,4a2d8b47,b3dc3229,95c0afcb,c4271d7c),
+S(7fcc179a,9a2ab1fb,10f03d6,1e936985,91ac91f2,f49ac834,e583f991,365efa71,c69dda71,c28efe20,3ebdb28d,70d0718a,9da3aa5,255c7c60,6f355961,3841ea7b),
+S(bf75127f,46e4e90b,3bb81277,13641056,c75f78eb,3717425d,54df396d,9c021a21,640e202d,c28d9d72,c6d1575e,9d672c57,d64610e9,93983585,10eaba8,61fa86b0),
+S(4c1248b6,27e5cbd3,5f93deea,44070e7e,bd5b78d,97f27961,53cb63c0,c18feea6,15e12929,f7b6b8df,bce226f4,6f2c73e,7d473833,18fe05a1,1f8ff01f,5d42dbf3),
+S(584bab22,79395635,883c483e,abf11ac9,6e97bdd6,b9a0fffa,f30b9062,37520da6,2e7e69df,570afb7c,a3e594fa,7b23d00a,2f8a7e64,c02cebd7,3fe718ea,458891bc),
+S(68ae6eb8,fbb41532,aa8e8801,e7c1334f,571ef1f3,92ad014f,9637bb46,b18ada9,aab3337d,550f07a7,20285869,72781c30,4bcc2d81,ecff0fc9,c27fd09,5c41b1df),
+S(21d7d1df,17e3c1f8,65ee8c63,f16b0e60,c074501,334a601e,eaa803bc,2b1db846,b6c847d9,a4992f60,c9dd1898,708be183,41f4999,a5803b4e,7c2a5677,d3def3af),
+S(63b70ee3,eac6f6db,36b273f2,2f919be2,6146d19b,bfa217e0,a3389ca1,f131b6fe,38accbc1,28b57d42,ab2ae5ab,21997cb3,5bfb42d0,71059542,6867fe83,14df95d),
+S(6981f1e5,ce35b49e,b511612b,22ba76db,5884e2e8,819832d0,1859e993,84d6e8d5,7261f896,810a30d8,53cc24ae,40f3f36f,78826bd2,49141d57,6b9bd900,678e0b79),
+S(e30c73e,fcbfb24c,882df876,b878b5db,31f0a78f,2e476d3f,850f6b2c,e1d3d548,5821f7f9,7a2e568c,f0f03bbd,c5e43e2c,ffb1a55a,4d6d4855,49f7b6eb,f9a6817a),
+S(e95e8d30,316e97ca,70e8d602,89c5a43d,1c698beb,f40e1ce6,87d0d017,7e922f4a,cb161116,c64f6a66,7fa6500,294fdfe1,f5f27cf8,de2213c8,97c55144,2a70137),
+S(f0062921,2603da15,6e315036,ebd10c56,477eb7e7,5239f2d8,a4fec336,9e956c38,4086b08e,a3d16b48,a0cf712f,54a7547d,e732233,69030526,c10ba827,eb85793d),
+S(ee8526b6,a932b82a,c4645a4c,c5200e91,ac1a8ca9,eccecd29,1c83cb02,bf69ec6f,d5f40396,4f593b1f,d6b130db,65a45c32,241be6c7,d0faa091,bf8f0d5c,41bc41a2),
+S(6209df6f,a66fb907,70c68cf8,81b0494e,7c31ef69,38fab171,cef2156a,740ce435,ed1a499d,5d7712ac,dcc39dd5,512aa71,4af5fb36,f53c789c,7eb53d10,7ab415bb),
+S(f1f7899f,7a0cf14f,4ed384e8,e55bd6d,8ef0cfe9,895bea58,ab80715f,7bfb6fb1,679f0e59,705f87f6,b23a008d,69c9e145,c44637e7,69326445,68c9dfd2,631a0e32),
+S(ecaabf0f,890fb84,a23e6b2b,11822f6c,62ddefda,7def3d2a,816ea029,2d24d93e,b5450b41,29c8ebcd,f3aa0def,bf091346,6ceab1d,874000cc,527e071b,6e3c420b),
+S(42220ae9,3b056efb,66349955,402c6b93,31706ce,c5ac1916,494e523f,10959fa,8272973b,a0c30376,a3ad6d38,f007e1de,c9f74fad,f6621d6c,cccd7f55,f9293477),
+S(a5b1cb9d,ffbe6c9e,152304e3,c195ab6,1904fa5b,661b097f,6838e33,fcefb7e4,f933eb70,32b9723f,250b861f,1c2881d4,fa118f20,2f16d0e9,bf41844c,4bb6936e),
+S(dc460969,258cbf33,c327b9d3,3927b18b,eeb2f2b6,db477491,fe1b0f8,bfb274ed,383db155,3ec0da85,62038810,653c06f1,f573065,4ec029b6,1eac7f75,85bc7ddb),
+S(546afcc3,d5e1002e,f7531c4d,40284782,7690f7aa,a9b7aa65,80070700,9642647d,ea4c5ed6,31cb86c3,c7710671,dc26249,13fed4ef,e2bb56dd,fa4f21f3,478ec442),
+S(707533d0,61c5c4ed,387e30d6,69ddc3c1,de0162d5,48c11cd2,8daeeebb,6fd8eeb2,a8f2c219,eeea9182,16a5722d,b9fc3f44,a8cae2c8,8e9632b6,dc9350fa,6d6f08ab),
+S(4480b923,babe395f,9b21ded4,d7f3ddc2,b9044ed1,379ff4a1,f417bcb4,ea1a1bcc,14ca822b,e0cffe91,42fb177f,712b5c65,6e650c55,24bbaecf,26450356,c7dfd4e7),
+S(484a7a43,c88ccc85,9bd81923,a0faf130,f44e45dc,cc43545a,9f7f18c,184efda9,8b79382,3ab0435d,6422fdcc,8a3272b0,1b326ae3,4ef2992,65693070,45fc2388),
+S(df247ee8,1936fb3e,9a4da6f,ad000c85,f7c83171,45097f9,ab4b94f,a2c8e1f9,4955c099,d857520c,633c0b75,731c6286,7b5d43fb,506dfea7,9800ccda,9a4962ab),
+S(95a936d7,c83a5b13,e0bf865c,22155aa6,71d8f86a,3c518cfb,58e73ccd,f23a141a,be6ed058,5bee36b8,9f2d8921,58bca498,f87675c1,9342df09,f23d62b,64a6533c),
+S(89e0cab0,118c0f6a,58b22a3d,fb66fc48,b19c059b,6b5e2958,6c7f7487,61c65b2,cb77eec3,d806dee7,b11c5552,16dcb2a1,2c00233d,2461887b,6897618d,e8c4b0a8),
+S(64ac2ffd,67fe55e9,5d82b26a,a88aafbe,5ecd6b25,12226ef0,e6503aa6,a3fb4ecd,41bdf623,644d265e,be30bc86,13a6f084,a44f1dfd,a6f1ee8e,16d84e4a,fc51d66a),
+S(60e0f0fd,99be1c5a,43866b76,a7ea8890,a7077135,43bf4299,e25ff15e,e35d87a6,4ef82895,b158d4ea,d8ed02cb,82e8ecf1,df795d20,b3692951,a431ec81,78479c22),
+S(49f0734c,8b89d8fd,2b349b48,2d5b32f3,b7d5e68d,532f76d9,753503ff,de2a3caa,4e1c2858,9b22009a,2b4d143d,94fe44a9,5697540a,48a2fad9,100110c3,ca0b9548),
+S(ea29d84f,41a54da5,f0d9f7cb,ad239ff8,91395e85,5cf2c86e,e00257ee,325993f6,a0bd6636,dad5c1d7,8d65e18f,c36b00d0,96d9379f,1e650fb9,cd072b0,224d0f4d),
+S(92edd00,f9dd358c,6622bb73,ba4f4760,de3e5727,2cde54bf,a8a6d0c7,bc205f56,eacc8aa9,b85829fe,391ae7b2,a747c122,625b408a,c97f1d46,cd0c8891,eb0d4eda),
+S(29811533,8b09ec4,583d1702,5a0b0bf6,b8a322f1,76fc46f2,49430c74,84b7b6ac,f7332c0,3b3c5c4e,bf5bfd9c,1e87d668,8347b315,7f0acc43,591310fc,5792ca4d),
+S(b5a4aaf6,8a97958,86540199,cad47d9f,86cc478c,ec43a24a,84722a13,4dd6d20,bafca1a,5c9d99f6,3c986ac5,9e432a49,7c8e5683,331ca708,4326978e,1db66f8a),
+S(4e249e10,981f8ee8,b3f0e5e6,c2e67de9,ffc811ee,6d9776b,4cabdaa0,98a8b430,955965e1,7ea5d179,4b293db0,b750a649,429833a2,7c317a24,654806cb,5ab7d709),
+S(1d10268d,abf2f72c,2769dad1,dda70fe,879c650c,8ed3b285,8583cddc,cc02ffd7,7d31408e,499940ca,8e88fb4f,1aeadace,fbd288cc,c35699ab,8484be00,1acec27f),
+S(3540f96e,fe965c34,dc608016,61bbba18,386b20e2,ccf75f8,a0fd6e62,65b8e62,b0d0399e,35c5c376,7773a848,34cdeb8a,cc7ff651,ab6e2575,1ce81e9f,628bedf2),
+S(b1e45c76,35de0135,21274840,8f06efac,4550291,d3151239,f8272640,b7354cfb,aeff7dc0,665692d1,6fe0d607,c996ea0,8134b150,317df1c4,afe97cf9,3630c3ce),
+S(9fddcd30,734ef7be,aab9c040,f1ad782f,5a67427d,e457f107,b2935caa,d52ea1fb,5c89b6b,36e26147,38599d97,2f4ceafc,d3dedc7f,79e482d4,478e4cec,b7c4016f),
+S(17a4abe3,99579c3d,8504a0fb,427e521d,f6034e48,115dc864,b8ba4385,63d692e6,df5128f7,aea1f8c7,214db822,4738dd89,24e08023,36fcfa9f,d4a49a8e,c09056ca),
+S(a7d67392,27d93a67,e7eac9b4,2f1583e5,633c7877,56ba7b01,a983d8b4,d4cd181d,1f10081,e72a50fe,b95b829a,d5c36349,be13e45c,f9722108,8ad78dd0,c7b5d9a9),
+S(87b2dfbc,e4301a3e,311d8c9d,23c8bcf4,950f8fb3,8481689f,905d6bc9,be1db1ca,4dc9f93c,c4c25853,93f10a45,31c6cb0c,9607170,49192ea0,9ad09810,3c078463),
+S(d2fb6a94,adc47e9a,e68ee0ef,24a1ec07,742f3307,36916c3b,8409de8a,2b546ab,eb44e5d3,970cb849,a797bdbb,438bfd0e,6e6dcd64,83bb11f9,10be2dde,978b7e1),
+S(7dd84bf8,c7070b5b,d258da10,e62146b1,b5408b62,d7154cd0,45ca4cd8,81623bc7,cf07575c,a02b6ea3,ef2d4cf2,9ad42689,4b30f1f3,689f6a82,31c63515,6633fa1e),
+S(b13fb14f,8fb7bd9d,c2a26c80,aac1ad3a,3d10116f,6ec1a7a6,888bfeba,acefda26,b5314ee,2048c766,af47c814,592c3d42,b143ef88,3470eabb,9629c4c3,5fd70d27),
+S(b58f21e4,4061132d,75843ebf,74126a4e,25def37e,1f30759c,1c1d461f,95c29dad,737399d8,b9490cdc,7c0a18ce,3d33d340,c2cf7fbd,78a1564e,1115306b,247feb38),
+S(10d3dc81,14156a53,f58cbedf,207026ed,6c74f52c,e62cc0dd,68189a6a,bd577fdc,fc4b7c5b,1f1288aa,698032bb,7b8ba84a,10819479,c616c00b,145f9996,8a4588e9),
+S(3890baec,2d7505eb,ab767f3c,8b6ada03,3505a329,791920e5,acd55a6a,ccff5fd,a5ced26c,24fb642c,64d292e,2696aa5f,fbb234b0,3d695e83,50f5b101,6074ef8e),
+S(3344cd50,af1eae91,f94eb7b1,168737d,fc8d936a,1fbaa3cf,14e9bac9,9c85dd49,b844c82d,1ef06c70,e7795dba,ae1f1e32,f8ecbe2,6c7d295c,b96433b8,161a0fb5),
+S(968d92d4,5b6c2adf,376324ca,2feee09,9715b56b,6038a3c3,c51182b9,a2ecfba2,3e014876,6e32cb,5a1ba838,a5d3c64,f954c3ca,a6d481b4,3c660974,92e39d4c),
+S(3f7a1811,751e8bfa,2740371f,27e823aa,c2a23c07,d1f5892b,ac2132b4,c8be745,5d475208,6cad8b6,58cee187,f692309c,4c01f335,c4a561e6,6099ff83,18cbad88),
+S(2e5d840d,5e808361,799353bd,a2edef2c,4e686735,f8161382,7f98d94a,a4a4a522,859d0019,a0d7619d,89025f7a,6273d98,25acd521,ecbecb75,195bbac1,6d1124fb),
+S(5536c7c2,e29de995,e3ad73d1,6d525d3c,5646a96b,fa931bab,5b96dd,ece62eb7,710b162,6d690586,15e54f97,828f7dc5,527b20a,3273e318,5fe9c64f,86ccc206),
+S(d29f9ce6,d0758df,c4025af,7097b53c,163493ba,5e16d5d1,d66414e9,a75fa6a0,af5fd2ab,36975272,bd4eb8f4,83e37b01,9772cabd,fe863c46,53a38906,450cd77),
+S(8fda2d0c,79aaee8,fbbf2e24,c9e2a98,e37651f,117df59a,b9c37d62,a4538ca0,dc0fd47,aea5d11f,c64a0aaa,d0a2953a,2762878d,6608d513,8b911d40,e679f238),
+S(2e17903f,6b00a556,a3492c2f,cf52ed69,58a53715,950c3cb3,f99ddda7,fec950ae,73c72ce7,6644e080,a0fa570f,32d4bf41,ceb500bc,c328aee2,a9c2b22d,56419e5e),
+S(c5ec2ed,9ea6c3fe,5d6021f7,bd475c33,3899edbb,7562d91f,4d0028ff,7a07709,7015d790,a6c3f25e,b9cb4bed,f3bcca04,740daf14,da1d3008,463a8f28,6bcad698),
+S(b8deae8b,299a5a56,24dc2931,c9d4b63a,361ba102,c5e4e2d1,fdc17262,e10ea72b,40e8ac66,b37a8bda,5d30e794,977b3d40,d2af7b0c,276ad346,a0c10273,359fe18d),
+S(66e4daa2,5442fd81,500071ec,51a2843f,ff19b706,8a8a387c,744f295,6282ca65,16a75c2d,bd9d5317,e2b2094a,a85c95ff,87bf3c9e,39101a0c,1bc743a3,70b09380),
+S(237df4c7,cc475cfe,7936c17b,dcbddde8,61f37e34,93e4f3da,40d9466d,eb2c675d,170fa5e6,156a8c60,ced37da4,c929fe15,e6d8c691,ff99850d,bdfa8844,38968873),
+S(3290620f,ee694bac,64b4af07,25beb94b,9bbbd0ba,bd9c7340,9129d1e6,d5d8da43,31455278,5f416fd9,5bae000b,9b5eebab,65575fa6,9a3b6ddc,cc2c5163,455438dc),
+S(a8eadd35,4d5ecbc0,cde50b55,c7e21304,7a548291,7d979b32,94fc138c,d9dc4cff,94dc973c,962b25e3,9aa324c5,8f1c9349,9190eae3,8c869896,a0e62dfb,222255f0),
+S(14cfbcad,83d44db9,4194e0f1,bc7d8650,c3586ea8,a362e1cf,f044d3e3,8a5a3ead,348713af,acdf1749,bf27a162,9baf1992,2aa62412,ca2e84ae,85046366,95acbec),
+S(99df52dc,8f8daeab,5bf8a48f,fb8c4368,7f4ea8e2,b7feb3bb,fdd6e1ee,59bcda5f,3c6a421b,d7631546,d3fea7fb,6370e823,999c6a58,c8d4f60a,6362e590,c6114825),
+S(4c420d8d,7d734ff8,220d9335,ede52153,4673dcb2,c4af920a,aaa691d4,777e0e61,4ec2028b,811fee0e,8937dc37,9961ef93,d7a04147,72a2a45,1e3f64f6,ec5c37d1),
+S(485b4e1b,e755e864,ba0b7505,20ef3fcf,a58e2fe5,5b6f736a,6122ad9c,160a6ad6,56adef3a,b8d325c5,c4b30910,cc7a85a0,5a326195,a39a3681,2838d5c7,e3dce17d),
+S(8d698df,4acae452,26ee02c6,18c04d33,4e11ec3,f0ec73b0,6365b46d,2e61e478,bebc1c0d,285eb1c6,bd132d29,5786198b,57650a92,f6eb951,a99bfafe,b06454ad),
+S(d0d4db9c,4f9b50c0,dd8612c5,43b9d535,8027c081,cf27986e,cc4326db,16526a12,43bdadb1,b7e56e62,2f10f5d8,169a3198,30523f7,908a679f,1c78bf26,6c699c53),
+S(b4aaa39d,50e18cfa,743e307d,8ad30f88,3f8a86d6,9f040d03,de008e10,b66b8060,ebce9bf6,8be9bc73,29e1ce4f,ae1a904b,2e1613a2,a45c8095,ed8e346a,6a1bb53e),
+S(28e6c590,5af1bcb,f3a81492,37011af4,2e46ac15,fbe0f2f7,a19ba76f,e7104f98,82ba4bc5,4b20238,12256511,b1335079,b21e97d9,7698ffeb,723605e9,c200fe67),
+S(b002b5d4,2a2089b9,fac121e8,eea8e240,2ac5b8dd,77f8fb6f,68b59c2e,f2b45182,7eb16bec,99d2249e,22f89e48,11c51324,99f2b7f,e6df592f,7ebf0fae,36130449),
+S(36e9cd9,8d1335ab,90d58af9,83f7736b,e317c3c5,c1f0d702,d43c32cc,916719be,df8a57d0,19c19da2,8fa517fa,749f6cd9,21e19b53,dd97e255,1eae0b93,fa6dcdd9),
+S(f89c103a,bccc8040,3684beb0,ea56ba57,b447442f,bf3fe918,b25be9de,9bbb225c,7fb1eec7,855ff2dc,9029e712,ce0b619,a6809a7c,3068acd0,1d275dc4,41a55847),
+S(5f164591,cc718471,7f23615c,ac67d055,268bcde1,bad2e211,7e235699,4074767e,99aa6bc3,3979f79c,9765a053,66c82dbe,6c067ae,539065a2,4ae37579,4c5a0eda)},
+{S(92133195,a4fd0c59,7e0cf65e,8ce1d939,e333f7a8,441523aa,31e339e1,2ae51e8d,556a388,7a7d579e,87de7f49,8c54bf24,2ca4b8a2,8b959e21,ceec4555,b8fabccf),
+S(e3b58edf,cbd6615a,dde1978a,30160514,80e9a335,1ba66cd2,a4e939d4,f4cce6dc,8d493750,a60f61fa,ed9f680d,fa8ac946,d765ab2,1925675,d535e60,b124b12e),
+S(d7dc081e,9409bf1,ae46ffa3,5f9eae76,8a92faf3,4a670d76,487b4334,50c2959a,77737006,f0021115,9c81a55,b58da8f5,5f056493,6d319eb3,9fa1a9f2,9ffe1696),
+S(ad4d72d6,768dabac,d7c40d1e,b88d5978,46e2f335,8721b980,f1f4b16c,bdcbd829,151a1ed3,ed7f999c,ab836e2c,665212b6,fa08a716,35ee1061,d650735a,3020f89d),
+S(325cc8a0,c03e6d53,acebdc12,265ce043,13d69ef,ae00b17d,84df58e0,a3005759,2effa974,b24c0972,84f2cb82,b48c7460,3268ef06,a117aa4f,66d080bb,20ac77ff),
+S(38e08a95,fa799d10,23d33d41,e5f305a7,eed9cf69,5151099e,cab0dd40,861b094,3e2c225c,e2c7d8f4,cd27e9bc,50015cb,3714e4e3,2feea2dc,3d275a24,997b7c08),
+S(d477d862,f7572311,73fc315a,35342791,319b0185,4acc9ded,6bc71fbe,ac866aa2,c869f5b1,cb084021,d2379b27,d4e5dd7,5e88ecab,765a1808,4664ee8b,74b23bc8),
+S(56a5b347,f304a6e1,13dd27ac,3ad1260e,8e65265c,31a95f8e,6d58a893,d2afed47,43c3a208,c6965fb3,397ad3a5,3d335b11,647af4cc,9ca1f4b3,1dd7cc3d,f11b4b22),
+S(7755d5e8,bb6c946e,d5a9bd6c,1d3f1675,b0bfa137,3f69f92b,8f0f64a9,baa72e69,1126edd,f0f0d7d7,18128faf,3a988899,a7e2caaa,901e92b2,312f2658,f24bd0a8),
+S(f010342e,3b068db4,79325185,ee3198d4,1cfd61ae,e1f2fc3b,e9552b30,ad5a1767,132b3929,a59718e9,addcd814,99ea1f69,941bb18e,f26b3ac1,50b9324a,eaa58001),
+S(1f994727,6e3ef21c,2eee65a4,38fb451e,bc87028d,31ff0769,f9935095,efd3e347,425ebd7d,4d6a6a1a,1b32ecab,7be89b36,1f333206,e1526523,991542d7,b23cdf81),
+S(eb0a70b7,ca8a1289,e57b3a86,9f21adeb,1ad77d21,9ab64d0,10716f91,3c5fd2b9,dc03531,46af152d,b78813a,bc402c76,93baece4,e57cf68c,ea05b6b1,ca6be07e),
+S(b46e930e,36eba93,11248490,4fe0504,91cac0e8,5caa4d76,f35384d8,24f8637c,8f2e844a,29cb90b5,580b74b5,b16f07bd,87385834,23b61485,e3336286,1817c92d),
+S(bdf5b431,db844804,70eb3188,6380085d,76c89d00,7bad9990,f28a4e04,e1bad223,9b71ff3b,8f13cd83,b493c150,67d91f38,6341cba7,5f711276,bf768f3e,229c1e55),
+S(a4aec29f,3aba4188,e6c73e04,14e8c538,e482491b,6d1d01e6,9801c580,fdefe920,135980f3,b38cddff,e9f7c0d4,87f1b44c,c83c393e,9fe3f8c5,ef6d7840,85a11013),
+S(4664f7d4,58ed1845,33ff308f,6389282e,ee336d05,28dee862,2ad54d31,9d1bd536,d774ea2c,9346db82,edef5940,264d2f47,da810925,ec1492dc,5f3c5887,e0015f58),
+S(1732bd76,99c1b718,654ca447,5a9851f0,f46bc444,541239fc,54b9b053,e6cd8d61,db1d259d,15dc772b,608957e3,cf32f7e9,b076ec05,3be1305e,c2b8c9d9,7aedf5fd),
+S(8e33f8a1,22c90484,7303d6ab,d80fb29,ff84bb43,eec9ded3,fb643482,82f9d4e8,5d1b2f19,30758a1f,d35d3993,598db1e1,d8514855,c23ab82f,245abb78,77f0eaaa),
+S(4d96af74,6c067b61,3dc07f73,7eded3f5,da106daa,8910d37d,f9d8beac,962ea02d,74939d7e,c345a59e,567f8046,bb400efb,54107096,8fa45412,c327e10b,3db50b1),
+S(478f6fda,3e82c5f1,d65caf64,f80a8341,54428fa0,90dd3833,c2a58cfa,dce5d32,1cb8ecf6,2f7cd442,8b9b3f6c,b33a42b2,bd7c8a94,26e35886,4e1a73d4,65294226),
+S(9f7b432f,c89b4f8c,98966a60,34ac0218,d02cd505,f888dba0,55688463,687164b,9d18be19,871f002a,b4518835,9730000f,15446136,f8803657,51987e10,571e681a),
+S(c3d1eeba,d935773a,7f30d379,4e5405bd,6bbb9990,26d3d745,78294c0d,c32a5e2e,8857248c,674c01f,4124bb99,3d5b261,def62594,7facb651,f6bb5385,2f5e5674),
+S(40a419f9,180b3e76,dddd489d,eadefab3,b3a53abf,8898e5c1,63221606,d7384ed2,53f5382b,a73b7d00,a5afb12c,9345afbe,9c5e5134,cbfe1d9e,81bf3b59,4dfd6b95),
+S(ef7cf180,fac500e4,32a70987,989efd6d,d527ddef,779cd09c,589b7e19,747b5572,7b540c7,c2a008f1,8d5ac610,96743cc1,56e87270,5aa2dba8,ac891ea8,bd6b755d),
+S(402422a6,8b33b370,aa5f4d57,3a92aad9,acc9be9,2e304de2,73aba72a,d2a8c4b8,351e81b4,4a250b81,5abd8a73,f23ba0fd,a624970a,59076ed2,99667c52,6f63e7cc),
+S(1b101d88,9f802cba,396dffef,4eed336d,24138432,12d21fd1,dfd56765,befab1de,b51691ae,f6589bf9,f1d47e2a,c29b6e95,ba600e4,17e48801,aa8c1c36,fac8dcfa),
+S(1e82a9b2,4458de28,97110749,dc63f744,94dbc6e2,1085afbd,15c9317c,e3b0bdb,72ff3c57,cf1c18f,64127651,2959762a,83a77db7,2f7b261a,67b1f64a,bad69db),
+S(3e5f2f47,a3b6e9f1,69d67e79,39ddb4a6,3ff4d6b,e85e7855,9eebb19c,ba5dcd88,208bd01e,5ace2579,5ddbf6,b57ea49f,aac3aea0,ab3160c3,62e1436c,c545c7bb),
+S(e0aba818,cf81f784,ad2656b8,1576ab4b,91a4d0ef,1145b359,393b2bf7,5e798cb3,52f41c6f,3f49e3d7,8031c7cc,c2d4197f,51d53167,7a2b3034,20f2750d,f85dfef6),
+S(115d9e1,1d6ae4e3,7a28e641,4704361c,f6422288,a3044b19,7dcfb54f,e76293dd,81c06f64,28931504,21f74c52,64adc217,9c9839d0,9e2ad42,8680b289,64d7f8b4),
+S(b742c7f5,60adf44d,a8ad0f43,30c110df,488fc072,c6029911,bb60196,6098f26b,f683d248,d6ad0724,2d1187ea,109f89e4,b231331d,5867a009,26496d34,e7fc2b7d),
+S(d8d686f9,2d5b3e5a,90a6b33b,f6e22fc4,e4dff29c,c8e2abcb,cc03d1d2,89d8ac,817b0c58,8e768884,6570da24,12d4dbae,c1649e4,e87b15f8,fb6ca41a,dc90ef8b),
+S(a2792c2d,f53b4f8,c4d8da47,1117e7c2,19891016,14e6f8f3,cd40e74a,1f079bd4,bcd3c49e,fced8a89,c5a22469,8360d91,e55c7752,b3c0b798,ffeea98b,373bbec4),
+S(2aa4ede7,9b0e39e2,2108d839,a1a3a280,e69cd9da,3ecfc71a,b3ff89ee,f921feb5,8568355d,eb149d39,8d4ba4f3,bd1a36d4,d7e0320f,8b3d8c6a,c81479d6,702c5841),
+S(ab965917,6927e9dc,20ef1e6c,60349cda,947dbe9b,79dd2402,f5fead7c,509c56eb,2cc227d2,68174216,abc20792,12eda585,2a91aa1b,e5e141d2,a510a165,405fd059),
+S(4103c008,71a071b7,f628d6cb,123c0c9b,2c91fc19,e52e747c,a35846cc,71a9baa3,8aa4e7d9,ee8493a4,ad092826,1377f4e1,397597b4,f63dee00,cf379bc6,92ba589c),
+S(972734a8,6a5fc831,6745ab81,5487dabc,51dc150d,4747ee8c,b96de185,4552d1e8,64341946,6c2ae001,49ea0ee4,9dc92692,9ff80e7a,649bd30b,89030606,319a6fa2),
+S(9405e5ea,569e492c,883a5035,ba768b83,79fbd706,bb4171af,b0a7480,7069c796,ebab6dbc,4dc6195c,f0fc9b24,82cf324e,3b00fbf7,c4773677,2f55c2cb,60109c6c),
+S(c9152518,b43e2f9e,7565f8f0,322eade9,83c5bddf,dc85a120,8b18c6d4,b53e2cff,33a5001d,26ba5f94,19602e75,a0cd39c,c6cc7648,ab9338c6,a796f68b,250f8bf7),
+S(1069e550,becc5618,5bf3b627,9e70db17,5c2b98ec,8796dbc4,ebb393c3,95fc23c,cfcd8ae6,b94cfe4a,b3856627,4896faea,ac4db81f,3137c2f4,d14bcffe,26255ffa),
+S(e1d567cc,7a7e3b86,ddfe4143,ddd5ebda,41e731fa,68e84445,3494507d,642aef46,7c6355da,fcf15ddf,8b143c1d,542ac5f3,da67225c,d1eeefba,ed24eb41,698af892),
+S(b12d2da5,72556701,4915f7a0,f19d0483,452626f6,d03c4829,9bd2fa9a,633d2ca3,5b3af65c,1ee45b4,51a1be81,db8654e9,62b81470,2f162b9,5b02bd2d,313da49b),
+S(b8bf7426,e023d1f8,bbdcf2c8,cf0d1ca,3bc14c46,c25ad34e,30e37538,222aebb2,20311608,cca061d4,7daf2293,ef087cb7,bafdbf51,b6fe17f0,f2c676b5,596120b0),
+S(30e2ab2b,4d4416f1,56eae97b,15df3e89,8313bedc,39e224e,2875def3,45ebf7e1,a9a5c2f5,bab83663,463a5ac2,38d34f2d,942f0864,9f013068,d5fb43e4,3aa9cac0),
+S(b51a0245,335f2b69,ba346bca,6e262ae,e3bb9483,2c4a76e2,cf1b0a43,24398a06,381aebe5,9c57447e,e48a5615,2b8c1ae2,36e1216a,eab9fcf9,f4608c3b,d5c1bed5),
+S(16ff6ff9,ea6268bf,fa04d0d7,697f08c4,1717ce6e,6956c14c,bb1e7088,32ded621,a30c4501,a9791b68,15d4fd1b,9b6c943d,8af81feb,b995457b,34640389,eb312a),
+S(75a9b34b,80f56b8f,843fe73f,f0a522b6,b32941cb,a892948,be3a649,ab644ada,55c90f2d,e8ddccf5,a896fedf,bd1676ff,11e537ec,fec1e99c,3d880705,93794d9b),
+S(e3d207b,fce3af45,7c93e30e,fa54e879,dc00b005,481775c9,1d2195d8,3c0be4b2,ea97b4fe,989166bc,eb7485d8,50829a7a,ce306586,a34f812c,5f30353,9f46702d),
+S(4c133100,4af7bfb,d9b25296,64c16012,aa5d2000,167c5ec0,4560c44d,5f424139,4a68e2be,d1509b05,9839d1bb,1e96e953,cb655fa1,1da92569,8edbd940,5758296d),
+S(cf6da6f4,eadc1ed2,c4e5c161,541cd6d7,6c3187e,2ca791b8,2fb20f9c,4f8bcb0b,c9fab960,ef26fed,75259616,ae18156b,3e5c7ab8,73a08a65,cd199de7,f743a492),
+S(70348438,bfb71d5c,c0ad51d6,d6dd5b01,1694c9a6,d759ac00,72c1f3f7,8e6064a7,1c825ebe,cdf3f546,c731df,c03a7bfa,8101f864,b8428461,36beb2fa,a1d5a916),
+S(505ffdd9,f57bb5fc,1e32c035,6bb7f655,793f3aa8,1d34ae77,68a0fcab,73aff902,7ae3363e,36fdebc4,f5d91f39,cb92dc58,a772741,c0191eb8,ab95575b,ac32bb79),
+S(a3f102b7,1312ca94,748f0364,1f3e15b3,bb41d1c8,8bb9ea8d,b51b4c9b,4fdc659a,1b1506f7,ed9bb787,7e65f94f,97b400c9,bdaeb208,5944d4aa,c70906b6,6b8e85f1),
+S(21f0e0cc,35288167,6cf5df32,fb7f1d9e,962366d0,ed994a35,5e95d68a,1ae73664,13b8d4ee,c089cfe8,ce0fee41,67f25dd5,bc165cbe,c178e80b,d4d7b57b,b0f26f85),
+S(6cdead78,97b40a6f,ab7c0e79,66f930f,ef8a2ea0,f8b8e20d,6c832aa0,6476da10,aee696ac,24106a15,2350a75c,aa45a230,c55e3eba,413e2251,719ed8e4,9bbedce9),
+S(ac3d60b1,c5f1d942,17c4165d,45efe2eb,889917c4,8a9e650c,e2528893,ea23d48f,791c1b86,6e072f43,78221fc5,b62c5c97,4a601a97,57f130c,787a3401,8bea3f6d),
+S(74b31ac4,5ed0eb87,36380b35,e711c93a,1ada56d3,f4d878b5,ca04033a,2673e0a0,818c0254,b96ed496,29724ffd,cf71501c,f37d57eb,93df690a,4c7fce70,a100fea),
+S(b4ede440,f1561150,4e25aaf5,e415030b,3542680f,45697539,6c91c85d,aeaf2be5,92ac0c65,d90063ad,793e78a5,6e94211,392b5a72,f417fc5f,d1763228,4ec2cd5f),
+S(b629a62,2434ce88,6f7e340d,d3fdb0f6,b36f06d7,cf4657ac,aa189793,5e46c413,f927a57b,8eb72443,bf2a04c7,65ba56f6,4c9aaaab,f28fce4f,aa1fc964,2b8452bd),
+S(2536ca07,e67d4bd1,2a3e0c56,77e0b83b,35f03ef4,392efbb5,9a08106f,5e7468a8,4eec6714,c83fc9a5,5bede8b4,206affe6,68d84316,b88f65c3,a7b1b002,9cb23d94),
+S(30a68c11,93764521,b72d251b,dafd608c,eaec6052,89ca2a40,b3bca114,117667f2,4a79cf91,e5938ae2,31516a5,a6198cf1,531c9824,1eff5f2f,519a9038,76c21b6),
+S(aaf6b23f,bc200102,ed92dd61,a8a853a0,7298b004,7699d43b,ee706ba2,15daf366,e9a15558,d984695f,fdfdce2f,5add6499,644c1d91,79e910b3,2d8f5cd9,6df9a78a),
+S(aba17c14,424f27b7,324bd29f,b3a232c4,670b56bd,71013ea0,14942d40,c55cfdd9,5c0265a1,963f3679,f4bb7e7a,60919df0,860adc26,b0fc502d,830c81b3,d8000999),
+S(7dd28211,82eff020,ff58a4f3,393c6fd,516b52a,9f78b823,9ba92f08,6fe30fef,6893b183,1c0402ef,c162c99,87efe669,58e9256a,54cc4048,aefb5ff0,989ed93c),
+S(822f080b,76a98334,55635b09,2fee11c0,4abd6018,73b83f82,fa761d68,5fefbaf1,fba007cc,b611b2e7,37ce918a,ff26efcf,92a17d1c,4e90849f,ce058397,4128de69),
+S(e47aa72,50e27d84,ab7e2e8c,a566424e,646640f6,c1b458df,3eaacf89,2982253d,e2a109ea,5e1854ea,951edeb0,bb8dec1a,8adb05ef,515b0bcc,40774196,222a0e09),
+S(6fb6cc,902df4a,34a517ac,5feb8d78,33607701,1d5522c9,9654dfa5,ab5f4872,6efd6a0b,f55f98d,9a1872ec,8a4102c0,e7272e62,9eb6e10d,de6f5b80,aa4bc44b),
+S(2cf349e,34205e69,79ba5a1,83032a05,76b5fb8a,961636cc,4d1e0cc2,82158ce9,b75d36f5,94df0de8,6cfcbcb4,b4ac7b97,fd4b711,b48f132f,961b0642,a123cf1),
+S(9cb540d2,f8cc21ca,d4fb1b,7e2529,389f6a2b,ac1a71ca,d73f5152,483017f5,65bb5abd,91d3c759,924314d6,f9925b47,87413c2f,1023a6b7,8a7bb65e,d43a48e5),
+S(b008d6d,24acd10e,aa0f129,58045da6,4a858f30,44b47e6a,1caa37c3,3ad7efeb,808a3f6,12773a98,59342b25,e479b2d5,d28a8c1c,b2597f7f,72fa0e9f,8eab294a),
+S(24bef8fb,9a3465bc,63868e5a,74293e70,3eac939f,99bc1fe0,8263e324,96a171da,efe5e06,9018bce2,bb92fcf4,29efe63d,1d624acf,d732fd47,f6b82c81,db028f36),
+S(338b7660,385e3d4,65d5cf89,12473b94,3d1cc1d6,98a07910,8a3745f5,de300277,6c419d49,f3df4dd4,b87178e4,3bc2e9d4,9a76c1a,262d9d0c,bda141da,78fcad0d),
+S(a53c790d,d8756046,8446a40a,cfe6f890,21f64328,8d4bf979,99a5fa9f,51f4bc22,444ecb6d,fe9cf442,d34b643b,94bb73d8,7fd9d5b6,87907c62,68425c57,e43e1158),
+S(185852e,f02e1aee,10d6054c,796ec263,a33076db,26a997f7,2ef01fc0,ea6ece3f,1b8ccf90,fc573d34,b0733ffe,f10c1346,2190860a,f3e79c16,863a3fcc,add7394f),
+S(5894b2d5,476f40ad,765bc171,2bc9426a,df05dd54,31b0d89e,b164258f,d5ec603a,27bcb2fe,ef2d1ae1,e2024ee4,b62e6d77,9d4930c2,3badf2e3,84241d74,cab8beb4),
+S(56f1ebc0,345c7d51,c0e58f2c,5e4414c3,a264da18,73e1e898,e3e7d526,777b77ba,1066de15,7ef9ad2b,a07dff34,7d430525,528812c0,2593c14d,a0d0a7ad,73cd1d93),
+S(5a271684,5903bd72,89629f8e,c8b99ded,6e20cbb2,9d20001f,9aaef99b,c6e21ac4,1b32158,4e2273d1,4f9f2fd3,9f5b5813,526577b5,af221538,91feefff,ff1a86eb),
+S(7cae9233,8cc38ef9,a84e10e8,2281463e,303f8b0,44eeb9b7,fff51d2f,5ad8c8ba,69855baa,a2516e72,7a516081,821f2f68,988a50aa,eb9aac08,e2cd5e74,f2aed0e0),
+S(31659ab6,1bd1376e,e989ced2,7d22ef10,d6e48cee,5ed1563c,646f00ae,5f7049ec,2634891c,bf30a25b,fc710d57,9b0e2795,dc2175d,5c7552dc,c0bc350c,cb240797),
+S(e007de0f,96522c6,52f49b68,ac817746,27981ecb,72f70b80,25a4ba,efbb871e,6cb6eff3,dc6c9c4a,424be741,f6769eb,f325f749,b12cd512,d6d82ce1,e142b12f),
+S(5c67fa0a,604b6b0c,19997329,aaabb82a,926b595,32e10f64,7c519cd7,139aa06c,7b5e99c2,9c49b426,e1df9233,d0fecd34,ba5e2c75,e6bb2b2f,8397c00,18d77b71),
+S(40f1a163,f1046ce2,3d46cafa,30c3f1ce,a0b21da9,5af03f72,e7e8e006,7f070563,efeccb57,6a86a01,4ae4273c,fde8a661,3850ea8b,658aaee9,d3058ae8,9df8fba9),
+S(bc34a35b,303f885d,d3d2f32d,81f81b84,fd283478,16d56674,89750253,9abe723e,79e3b04e,e93470a3,5c8848e9,30e3a963,77fc0704,5a0fcf62,f41f5610,1b6cc670),
+S(49695da5,ff006373,2e59e24c,6c2b8b57,b081dbc6,8438395,282c555,ae9545d6,197f0bca,b2bae828,669a3505,e1790b60,134eb70a,aa85c7b6,82210c4,f6f2a024),
+S(cb73405d,957090b,9eef27db,62657d6a,ec058e08,e9e51513,a63780a7,15c3c77f,80ef26d1,deb10417,a2a430ba,4501a722,8eee85de,c40c863b,a88ac3e4,814fc645),
+S(40f1a629,1a37fba5,a9992ce7,a9af16d3,ca57625d,1e72c218,bdb71efa,d6ff819d,fef17320,d4f318f1,e6536f75,c104e7b7,fd5d23c7,efa0ac05,5ab28aa8,9861c05b),
+S(adcedea0,47371dd9,95c2d169,e84df39,7b91b051,aef5ca5f,e759afe5,e30fb54a,986f4ab9,dcb46d,676076f5,46ae4f8f,55393422,95d33c0a,d4177ac5,bade6dce),
+S(56f92765,41af201c,3e9f428,e7e23b50,7dfc84f5,b36e40ba,41f1f3eb,610d9e0a,c1b9bc04,c9e7412c,c8f6efaf,c4c8ff7a,59b76a40,d2717a5,ac6d9270,12ed62ba),
+S(208efb63,23799f9d,a69aae92,d7921ab2,31ba1d9,1b5d17db,f6f061dc,30395e6e,4765abc8,177f4765,810c0fca,a125d72f,aeee8889,637b169,6d843d97,51e0e5c0),
+S(271893d6,a36b984,878c40ec,45459e3d,932920f6,257af8a8,a5a11b9e,43a111fb,80ce0758,847df058,1c7d4db,6c62eda1,c41e3b3d,33d6f2ab,2efa949c,36c0fe0a),
+S(a6ec4e2f,4937a358,91153a45,254e22a8,dd5b812c,1333500,321a62b5,af4be98e,db55a35e,575d81d1,41da4bcb,12a5813,65c12f37,f8ff0164,feb847e0,e49dd86a),
+S(1f5a1cf3,8c4ddaac,d12deac4,efcb280c,6d6cbac3,901fecaa,a64d570e,9ebc68d,12c7fda6,5997f8e2,b4b85d96,9d9ee069,1d084761,25a221e7,cbea891f,6993153b),
+S(bf41a276,99dc209f,79c80dcf,a5812086,38c7409d,cbf4b842,21869806,e445303e,d375e246,a1bab103,3a89c999,ab89d82b,7bc50961,ee500c52,4fb6eadb,f4e04104),
+S(8375c69c,bb4249be,77bfcb40,8ae97e2c,db6cef39,7e265ec3,85987a60,6b83d8b9,3d6e1864,8f105178,7817858d,791938e3,7b6d8f98,ef9f627a,789574ab,c5bde6c3),
+S(4872571a,c44368c0,2d0ebbbd,a82ecdf5,b451d428,f3f9f848,28046f01,19d8c41f,3ac201f4,cbaaa772,c7afd2f,1d942d29,2a0c705,90da811e,789b7aad,ab49a7f),
+S(2c24eb5c,124db868,235f333f,c3453e49,5dbe9215,5b6de64e,ffcdaaaa,4be86b86,6f520dcf,35dcea5f,86edd00b,7b7e4903,6e414e2b,f643ece9,e22431ee,9b3a9d29),
+S(aa70abed,8c5e973b,a21a038f,37d36ab7,61b0da01,636e9cc1,67cf95e6,78c07330,b4367401,7226b35b,1def07e8,c02b272b,8975ab77,7e8d7c31,10a78db9,94fcac34),
+S(ab317750,1b5a627f,45a57b2b,38bff161,aa8869d3,a034a5fe,35289a60,e5056b0d,783adc21,9b1c0173,9977568f,234a3cf,4f05e91c,cf07fee9,71bb55f0,e379ceab),
+S(d8ae6ebc,fde52d4d,c482acfc,ef231d62,637f4bde,71c32ad6,8205ab30,9d66c013,f75f1efc,2883bce6,ce06d01,1dd86796,77ef971f,22a1b5ee,1c08a3b0,2ecf9cf8),
+S(949dc802,f4d797b3,b5f40cd6,a5b3bbd9,c98e579b,7a4bbc20,2770e4c2,f737c1dc,a1d1dff4,7b86235d,b16a88a4,59596ac6,6634bfcf,ff92736a,7b7aa081,2c10ef89),
+S(8b0fa15d,59e05495,47dfd98f,5366571b,91355f8c,c54d78b1,b50ac4bf,ed31e633,4b0215f2,65267379,10855e46,1d8abeb2,71c7baff,170667f1,962c0954,6480baed),
+S(98707fae,93b85fb,23f0fc23,c953ed7e,68fdb5d5,c7d29c5c,1b130193,400f3a47,bda56a3a,97c9d049,78bb228f,2aa3b6af,59fbf9a4,b0ea2f29,48304fe7,47a654a9),
+S(df34cdd9,cc111a99,66690fc9,a79cd621,66075104,dbc40423,69a817cd,8e94500c,29ef5a11,91ae6c3a,f9b959e2,423523e6,5a32e254,c924a416,a41361f7,df7c4351),
+S(c23fd61,b07e8fb6,a528733b,f4ab486a,292901,eb4f6af1,2b940af9,49e80811,a749fc6,7f340cc4,71056f0a,ee59e08b,ecfd98b3,cc978477,1eac93fe,1e2831a8),
+S(d8be2fba,6d2970be,cf3fca6d,3f3ce70b,a4eb5e19,61f07223,c60853d0,bdd99e21,b03144b7,7e6161a1,a35a01f5,2474872,6ec44cbb,cff5daa8,53de1524,3d5d7c48),
+S(beab3690,382f0fbf,e1ae999b,1c12a04b,f421e94b,ddbe0d78,a287c8f7,9de0a903,91168177,fa3af115,e75a4e5c,b399c136,41793138,4d22a85f,982840a7,89d59082),
+S(72b16aa2,6df7b6e,9b6381f6,8f3e153f,da872dd7,16c91f66,d04539d4,bd8182b6,73ff3867,2b5b7008,6db53e27,2d7e2969,c6522666,cb544607,52aa6bd,f6a6a28b),
+S(b25f6e67,169d5375,3b3c0e43,a8a1dc67,33ced5b4,95902ebb,4187277f,cb754f9f,88657428,cb2e98d7,8ca80ab3,a52cb043,cc50bda,3e0d477f,b12aa478,dad14016),
+S(c5d724e2,1eeff913,fd3bdef5,10c963e,77fe49e0,18890a24,fa2832c3,a8b61905,f06907d3,ac8982cf,63eee75b,b9ba739d,e80b819,32a3e978,a3702a9f,256e9f9c),
+S(c2ebd113,ad286a61,fd8bb092,ec4025da,67a1606e,31e023ad,f0f7d8c6,e18b5e61,f5a5e5c,defff7ca,722b9fae,e7182953,3191ccdd,cdee5536,f2ae31a4,48c6918b),
+S(d6e1a1,62047343,aec39c67,65f07f2e,d0bd1b14,256370dc,2c90bf11,7b54a82a,75864f87,9f5bc30e,afbcd624,71816e3e,fe9c3aec,ae631dac,e0cc99f9,702f7ddb),
+S(bc4fc591,c3869b15,8401713a,e545061b,94675162,8757ff17,a52d200,f6f490fb,8188af48,51cdafbb,a85fc8d5,5129dbaf,53642f19,c0ad555a,8385b0a5,c82860e0),
+S(1748e74f,610d6d00,f299527e,9f09b30f,271371d8,7cea2ce5,e092416e,7823bc5,5ab591e7,4cbe7756,9fba9944,b84d8f60,268d4824,f73a05a4,9103817e,5c15960c),
+S(cd5827ff,853b6997,b3aed60f,829c5fa1,5a6c8482,f4ab123,eff27af0,3e145f6e,3e7863ce,b6101b67,243b1c22,73824acc,212d9123,882310c,970c6f4,9936cbd9),
+S(d61d636d,1d5db74,1cfea51b,59d7b870,4566c733,e8bfd023,a152fe0f,bcbe9c95,fb94fda6,36a9c976,2cd6e1ee,81bf6fbd,a5f033ae,1ff7db06,3c31b045,5674e021),
+S(2363f1d0,735814c2,8ae1c637,ba838c00,601cf14,d99dfbbb,a1e0f45c,75c62726,f340d59b,44924783,85235374,729d4773,365943bb,21c78b65,c8d7a8a3,f1de05da),
+S(45013f55,3e53c6a9,aba8d265,696ba61f,45e15c9b,b69a578d,57a2559a,cc7441e7,ea2ef736,8dd1868c,34b6a65b,6f451f6b,3342d2d7,f90fa2be,93ccacbd,6e6f5d0d),
+S(8fd98d99,6bda42ab,ecc672d2,521921a,4c838e9d,760f0f06,25523dfd,2dad54c9,ce29f650,a59a61a9,5955f9c7,c4e1505d,5d795caa,4cd5f81c,290175d0,4e48cc97),
+S(d9af8b8b,3ce2f4b1,70979639,db524cdf,a68797a0,dffeae55,e0bb9e60,9ddacef6,898eecd4,5ad6bf9d,55e2e658,2387fc69,d1acffe6,8603ff56,68a06597,bb0186fc),
+S(f3b40480,1e1588bf,fbb524ca,9dae6d88,c96634f5,aa163adf,ccd9fd9b,dc78d8d0,4951b9c9,31a7f009,92c808a0,cd7d6c66,fd6dc868,1836c577,d61b3783,39decd99),
+S(feeb0e91,e310b9e1,b8c68885,b6c1c728,31a6c29b,f93a733e,c8c86b43,2f576b27,c43851c8,46c3ba4f,6b84f039,6cd4e20b,3a8d492b,57970b8f,2df52534,ba1fa2a5),
+S(8aa75b71,79cd7941,1c45f803,e0e76c01,59972566,b24d7566,3fcd1a17,8a0af8c7,f050d1a6,fc082a7b,6c342cc1,f7221042,373dce2a,2b055638,c49c5900,85b97fed),
+S(44e9ea01,b7f3058e,f878a57e,8a9ed638,b6fb5730,aca25b8b,e92ea856,611e3b78,e28955c5,2a5ec160,185a29a2,28b587a6,6ab207ad,70236a25,35d0df67,44b48d7b),
+S(7533e418,ad594d1,2cfee794,8894a09a,1e440b6d,335d9019,78416aec,5be9915e,312b4709,605c94fc,1215e513,ec13d2c8,e04cb150,bfed209,e848e247,485b4f5e),
+S(682d72b9,e5ac04d8,23d7f275,ced51d52,6f8441bf,2b290c40,1e31e6d2,91392bd9,96a37870,6c3e7c3b,ecb70,dcf3aa02,902bb466,9db00db1,39a5e8da,1cb7e749),
+S(79aa4b03,a9cfbe13,b7a9bafb,2e170b87,7dc29832,ae4c33a4,6a4e8957,ad2fff11,403a3f70,b165471b,b120e22d,a78d964a,f40b6712,1535d44f,769ef4ea,ab0827cd),
+S(73f36ec8,1fd92ef2,f7a7974e,9bfabd08,2e8af24a,4589336c,9f9d72f4,e903f164,9e351dfe,ae961e77,8f617b33,4faa021e,db206599,84ce85e1,53b3eb24,bf155584),
+S(c765b554,2a70148d,ca6cb008,12364451,236cb8b6,f2f389da,8325d283,1385555d,c7010bcc,54c1cdff,8cb53644,59916a7e,90dd5c52,e5ec450e,5bffd621,352f9aca),
+S(e3b41ae1,42c61c16,b798aeed,8fd85c8a,1ce8bda4,c7378511,b595b1d2,1ca13278,319a4f8b,b36842cc,b4bca0d1,f30970d1,491f1191,b96bdab8,c460230b,4d79ad87),
+S(e12d6ec1,6db77af0,2f6487ad,2e07348f,f09e0db4,61b65a48,51381bbd,c0adc704,8d5eb2d,5dd04fd0,a0a62c1,4dfde904,9345fab1,22b9fa08,d54ba78d,fd362179),
+S(222174f1,9fd39456,30239a89,1555950e,c10fa208,fb2699ca,311a383e,a92fbd6a,47681f6e,517eb688,c1c5e6ce,ede55387,d6073d3d,3e838121,1324e7a4,e7a9919d),
+S(91686e4d,30b99146,e67f23bc,5d0c2e56,571fbc55,2bde35a3,33360ec2,8664ca33,49792737,7b52d9d3,7fa3f737,898895f2,dc6b5cd,e83c034,8876451d,671134e6),
+S(ddd308d,5e6de51f,4618dc3d,5ac91e2f,bf449a6e,3e613d47,5419a018,bc88f5ff,9956918,ba5f5ac8,cc155ab,c617cef3,3173fb42,c3c2ae46,e4ecdbee,9bfd4379),
+S(ed320f14,1431b13d,b683a4ec,e2b82554,b32f8c8e,fa626ba8,dc9769ef,f5aec648,90d63300,1b6feaca,db963593,ed87f370,63f58a93,1712d88d,62ea3cbe,1ad502ee),
+S(4a6fc424,aa5a3dc8,5e3922ff,bb25593b,a74202bd,c8a3aefb,495bd516,54fdd47d,8f32c810,59df5968,8c96d558,64df667,b1e17252,4f48fd10,801297df,325d0370),
+S(409c3ad0,16237b76,e4f61caf,16788c4b,f8b8f994,f82435e1,c808a7f8,e88a0e1d,3a2a5354,b0e8d2d6,4be8004a,287e27c7,ea1d1b8e,d6b7e542,4ffe878,de81dc8f),
+S(54cd117,bcb57ddf,67ad286e,fcf49489,5e5351de,95011a8f,2887967c,a2d89b3c,c4967891,b75792b6,ec631929,8ee79bd7,79f499c4,7282805,dd4270ce,672e3c12),
+S(f31e127d,fc904fcf,9f38aa19,e3d797d6,83cab4c5,a36be0d7,73e69267,785775ea,1c57ef59,42b1046e,1ae1b2f7,d20f3330,1441baac,eee11a40,905315be,165caa10),
+S(a0260e45,b9fb584b,1a82262,cc07a5a9,67dfa2fd,f3e7d748,705d87c8,f46d4b65,8e519cb1,1c634aec,67f682a5,72a93009,a11e91bc,e7182c47,19af78f3,bc171806),
+S(f8613bdb,882250c8,8f755bd3,86e31331,8cfb410a,ceffd9cf,7b148ed1,c19b6ddb,aa36adc,3d036a3e,4188eba7,321845bf,26350925,392a9a2a,763e6d5c,da3264b9),
+S(9cb8fddc,93df0048,eb5919fd,52e29385,597238f1,d7eae596,583727e7,439c0de7,c9f3d25,5cdeb940,c8cbeed9,92ae5bfe,f9be9d7,d81b32e8,a2948d2d,7014db9d),
+S(4543a84d,5dda5cd6,af28086f,ec4b916f,9ba8ddb8,d6c1a4d4,f1e242ef,805cd5c7,5ab700d1,a4a4052,a137778,f5691683,824c6596,44f4b206,4f1f58af,9fbb34be),
+S(a33279ff,9fa4e088,13d36e4e,e6be8892,7bc36723,cea3ae92,c059a7b2,cc7392c,b47fd3e,8dd3edd,384f98f2,572d6020,21289abd,b05a0d38,58f0c557,15542fe5),
+S(2831c5ae,a01f60f5,55763206,9b0e11b5,e88c01c8,7dc81d6b,c4da8497,f8d34d26,4557f90f,2bed0c05,87bd7ea6,92db50b0,dc12c8ba,a9ffdc0f,972e0e8,9481682f),
+S(f8b84c2b,18aeb807,5c001f20,e55fb13c,bff76b0b,fe7defe6,9d985f32,abef4127,46258945,3a074620,df7352ef,cb5efcde,23982c5f,3e706272,52cdfa82,6b2c127e),
+S(c47328e2,8dca9f9a,ad9dd5ec,1c9e5038,f362a491,46c39de2,dfc6eaa6,32602264,4e0d731c,834a4a3b,6bd5b3d8,66c1ad,1afb3627,c641fc29,6c1adf2,13d6b313),
+S(24980a0,6f177e94,7b00373f,1b7985d9,88d6f715,3647090a,31efc04a,a6fff347,62d80bb6,a4841b41,4d6c8ee,bf626629,2b2a505,15fc158a,7d00d470,63efdc1b),
+S(c1c03eaa,ac9c665e,cc4081d,fad9bb3e,a8f38453,c4dd54eb,885d198b,5cb9fae4,ca769550,165fbd81,96af4fd0,82ac3a42,5bf75be1,312f7d05,f5cfa9dd,d20c89ef),
+S(14cdaa50,b4ec0bc9,5f609133,4698395a,c204fce2,62fe04ac,5f010826,cefaa818,52008b61,3f289f96,1298c773,2938e44d,2607b5ef,8ceef7fd,8f89566e,5c5d4ff8),
+S(9914f9d5,f45c50c5,fc4c11d6,d2aa2751,29880d53,7c0a3618,17577886,abce07a6,a4d71a54,3e5bb9e0,664bc22f,86c146ee,3077764a,fb5a0017,41405ad1,50098d84),
+S(5ba84c73,de6b3cd0,df8aff3f,c907de14,b73d21ff,dd0236ee,1eb6e83c,b22cb97d,759c472e,55b3c84c,5a677fcc,19dd56dc,14f88be4,4df9b18d,c0395648,487ec1eb),
+S(5f0ebbee,3d20d7b,bdf0681b,ec525604,e95ab69c,166a5ed5,a3b38790,7e2a1c76,2ebf4d70,652ab5ac,a932d68f,7687f284,8be58123,701e6e78,1995a10f,c49a0c32),
+S(ac1b8b80,3d168f58,f7498d84,d771ab77,2af1c5dc,fce17fe0,f024409d,5a3735b1,57232c98,5f2b2947,82fa66f3,5cfaa879,36bf2fe5,7cc16e43,3f2ecc1b,508329),
+S(ffb18dc7,4644086e,51a6ed2b,b6756b36,69cc9e05,e1599ed7,5678437b,816f8656,3dc8b95e,213dc14f,4ae4576e,80a07ee6,5893720a,62f3d45f,bbdf2946,9febfaec),
+S(f80b44bb,1a268d50,66b0aa33,6f0cce05,ac025e05,6bb167cc,c3ee3256,31782edb,10d80583,d4288202,a1c7c543,90373965,bc67191,948c4833,1c629f29,2abf2c02),
+S(20131423,d27cc837,a520a922,f5638314,11a73ca1,ce7b5442,c557a341,c0fbbab2,7b6757db,16d6c286,44143884,b76fb2c2,8a2a0811,5cd88e7c,c07b72d3,b91a3967),
+S(92343611,cf9abf9d,76291f5,7e00c0c4,868d9f28,50e24c85,3f302c90,4a3fb0fd,1190d25c,b8e776fb,931f47ee,25ebb7ee,7dd032ec,c30bcd5b,d48e1049,6ac9062f),
+S(27a0148b,39981959,2ad43fd,bdf913ab,26e98ff2,8bb5d33,d74eef9,c07c49a3,b8322dde,2f0aa07f,c3c95e85,88ffc410,5c18e236,7d71c7ce,e8287e33,80addb88),
+S(b336155a,ad266dbb,a52bf3fc,e3b681d0,2f1bd72f,2a3b020e,d1a34e76,62fe00b9,bb997d81,4c915336,117026c8,f0f7baf0,a4a3d63d,13477748,ca4b5228,b32adbf6),
+S(27752e08,63b8dc92,c4e63ed4,d2acf880,365ccdd0,f83d3ff7,ed62fa2,a6a4bf9a,a67b60d0,81dca9b4,ccc6a192,4a6f4734,16af822c,c939ae01,dfa88ce3,6d4c851e),
+S(c9d2dac6,93e0f9dc,7124c6f,7c256b8f,f99a1436,8ccdd33,6cc9f421,e1b1d474,a3ecf256,9ec4e99b,e04cbcb3,af36851e,44d4f91f,b945e59d,7c76e3f2,288c32d4),
+S(ef56ff2d,e27a5853,64a397a8,88204405,680b00a7,6c4943b5,1ad02915,a321be5d,1b2c1be4,5f2f67d0,6cd9851a,9c6f12d5,d4dc7fe3,27031b01,76cebc1e,bf8674df),
+S(1abbb10b,d34154f2,d28928e9,6f2719a1,d6674ac8,5c078e2a,bf6167e6,6723d972,7bcbd8e,4c01c5a9,68696956,c4359776,e5ce3cf6,a7faef11,7cb7fb3d,19613de8),
+S(e51bf6f7,73d2b22d,4dd57e4d,79bafbd4,94f9d6f8,65baa712,97d8596d,dd5b9c83,e7a565f,d8f0a273,3bb72c84,1d283e0f,d6cd1738,af58f6c2,80a31873,9f70d9a1),
+S(f61e0619,2acddda5,309a29e2,43b3f597,5b52914f,5e7ab14b,45047d3,76530c93,60bb1329,705d072a,12cbd305,35ed2f9,b530e967,45e34ede,885ca32b,ff0dcb1e),
+S(f91f0469,da8630ab,2134c23a,e892ee57,78327bb5,2b2eeca6,11719330,ff163b8c,c216fc14,88bcc308,e4cc5df9,42b1df51,92c2ab24,e0e6630c,38735932,f941f7b2),
+S(c6ce13aa,ecbbdc54,6124e467,e5e8f966,a5cdc609,8e2c77b,37ee82bb,df5da173,eacbe9f4,9e21a930,99b08a1d,1e5e8887,f3cb59f0,b9c79e5a,1e26545f,879893ed),
+S(522cdbdf,20b56337,e5062b1d,24c8c347,6335e380,4aede233,daba113f,3a174101,b8be6e5,3dbc2cf0,4373ff88,79a4d847,70255e9a,1c9e46cf,44dc14a5,91f6f659),
+S(4fec5311,496a5626,341f22fd,b72d4078,109f6656,347c4a0a,6ffc2757,683f50b5,71235dd1,4aa58ab3,6a5fdbe5,71be3f,c76e68ba,9cc32ff4,95bd2166,b6c88737),
+S(ece25d,92d12386,1b8b7a20,79548c7f,71f05bc4,5b37fd63,46f14cd3,8d03cb46,ee6c9e60,d7dd08cb,f3fddf35,547ccecc,5d7c95fb,8de3bebd,f77c529b,317f3b60),
+S(b160e499,105c9f7c,5582071c,fcdadffd,bc3be684,74158120,50fe69bb,e090df53,702fb302,77470032,3af31e37,aff2075c,201841b,f8ff4589,fd1faf45,b265e3a3),
+S(f578953b,a3e785d0,ff9a0c6a,a4f1c1b0,718024c,c40832b6,fec24024,dc65c23d,46391a1d,9a0eb7cc,40b43b3e,6f234ec4,da5d174c,fc22ac49,13d94c2f,87fae285),
+S(43fb3e79,fc0b7a1e,a12e3aa2,78fce929,46f1e368,ec23d157,4ac404c9,347a2468,fb902d9a,1f4fd892,6f622169,b7a9792c,d6cf9071,e0efe86b,cebb9274,be62537e),
+S(322b8b20,a86183b1,47e01e7a,1a204e57,b5261b6,3d0cd615,5716c2ba,2b7ab42b,dd36d5e4,82e4ffc7,f16ffba8,dd409cb3,217fb763,35810059,a8bf3534,116dfde1),
+S(cc54be01,33ecd8c1,c3bc6031,b8e9d0ef,e5483bf8,23c604f4,464cfb5f,d3bcafb,588f4d9a,561f0951,9fbb5f07,1f0f75c7,530caef3,fda4b815,bdbc39f3,9a93e3b),
+S(64ca8dec,26f3a2e0,11929ed,22074fee,f9b9ac00,296ec54b,87fb54b7,184ec668,d1465642,dbea26c1,391cc7ee,4380983b,55a54f6c,6886348,dd394b4f,9fd8056f),
+S(3bf7a76d,281c908d,4e9b096a,38b432a,2aac8b63,9fd69561,18dc54f5,8f563cad,2867389,d516089e,d6e21add,199ac238,c239743d,e4355602,14e9e570,c060f268),
+S(e3e6ae01,7b23ecfb,acaf4c15,b3068e5e,3c1b7b0e,808dec28,15646d59,3f84b011,88ca8e0d,a307bf72,7aeac25b,49fe536b,213d4815,7d229cbf,3944867a,6d90753b),
+S(9569f3ae,b8258e4e,98e2243f,da75fb1,ef74c3b1,58f89f42,8ad3f884,7b40bb6e,751c6fae,979806ba,fb81187c,69cdcafa,e13b4657,1785741f,c10bbd3a,71b8f7ad),
+S(f66297ec,a2526513,42662205,286620a9,a2a30926,4023e1f9,98c5ba95,702e3bee,9193d0bb,b677a6ed,68be4f01,8c7c3810,23cd7190,bc7be65a,67e633bf,236262d4),
+S(d867329a,1e6f65b1,7b6d1bdd,23c847fd,3cfcde18,e0527696,b282dcee,3944094c,8f31fc4e,43597152,ae9e6749,c16b4873,c678b55e,19375d71,228bba75,39182518),
+S(356ac12a,743ae734,81328cd,a8469f86,e0e50107,6bb67e21,e77b2f24,8b4d8bda,585efea5,d6bf41cb,fdff2ae9,9b3c8ed8,cc3d6381,bf5593ed,4efc09c6,f3c4739d),
+S(c6d16443,5641ccce,bf033261,510529a9,8d5886af,35248aff,ed516ce0,e8a0cb57,3f9d4a08,cc77b5,32f8ed9,e401fc4d,39f59876,41503c46,42077c9,57bd474e),
+S(cd895ed0,d1aae7b8,ede22bea,b3d39045,a3e6ce5e,cd8ac7d8,4b74ba17,ab2a67ee,1e1ad565,2d0eec45,4f9c6801,358b05c0,fa96e34b,796a293a,a2f986b6,a920e6a4),
+S(1779a75e,51a56cd0,b433fd5d,5b138c9f,6d42fe24,676daadd,7f0865a5,c58c7d97,ed7e5245,445fc6b9,33032805,b4d6c02a,beb7caa7,b6a4f51d,534f2181,d7a9812c),
+S(5c1cd955,73d0ffe4,1d06ef6b,a3aa6f16,f275525e,15e89142,cbd043ad,901bffa9,489f6af9,1798dc67,c71159f,44f4b3cb,b3ba9cca,bd9af2bc,a2fa6e1e,d693c7fe),
+S(637d236d,8d9dc670,1d78f88c,acef91be,a05092e,44e2ab08,2f057ce9,ccdf1011,8dd1883d,303dd21b,6de832f4,fab06158,ae9a7043,b6fc026f,88d6981f,46476547),
+S(c3c046a6,d0ba702f,72f3e1d3,d7af46e5,5ba2581a,b1efbe36,ed20b96f,326afb97,d9d3d813,88bfbf02,9662d022,ce0fcf38,c5442a6b,426a852a,ac443f4c,c0b940da),
+S(f224c5cc,249f2879,92d6ad0f,c9556628,b8565431,b0778364,44521b76,1e220e71,4aa9dfa6,99c5eff1,209ad9d8,9c26df9b,4a7942f8,607d9f86,deacc85d,65637dc6),
+S(50c0ce65,6f95aa63,946b66a8,da465882,19b856b8,8f2cd78b,5d85040c,feb19a05,b8529304,9cc46692,b2ee676b,d39b6c7c,d2f465c,f4ededd7,6e7f8655,654c18c),
+S(925757f7,d66b084e,61fc08a5,cb96d115,86f94c5a,5979d09c,ca34a07c,44133c5,66691d64,5dc5db51,bec2c2e1,e398fa11,84209850,99ccb6f3,e6467406,256f768),
+S(a1a7a197,c8067535,df3ff670,2363c366,988b3630,7b63ddec,a48e5c7,35a5338f,4936dcc1,b186ad2c,7f0bfcb6,7792337f,561a378,e8508206,46e2d8ff,21296856),
+S(54ba4a9a,877fe4e6,baed26e7,307ff40a,ee662d57,7a48828f,eacb9bea,cb7b614e,696eb116,b1508f7,547463dc,a93cf778,1a4842f3,d7b120ac,89cb0799,5b06bf15),
+S(5af3fea8,2941c9e7,bc3423b3,ffd12df8,2b560441,dc3a2851,9ead7546,898082ac,e33fb5bb,c79b2fab,f1755f54,c56b67f4,c1ed9776,1580cf38,3b603dd1,e6b263b4),
+S(f383a835,81e8d9e6,1e9c6d31,8fdfb6db,ffb26137,367885c3,401e1b93,33ad37d6,dc6eb905,bdd1f81d,b27ce843,df578a31,bacbb490,bba9adaf,d0c4cf30,c2e858ef),
+S(ea01281b,1aa98a60,5c4a1d9,bae8e45c,a9e67ce0,6eaddab4,4decc473,5a7a51e2,3bb44d94,b07c483d,da7e1f63,eb8dbc9e,4f9e4a59,3ff722bc,816a11a7,ab0c4cd2),
+S(e5d489e1,e3d0ddb4,9a1f42a9,e928e2a9,b1a1db09,48a59fc,68452a35,c52fe7e8,90d6cc3d,b30be1da,a8d3742e,bfdff07c,f8bc7c31,a3c4e166,fbd1c3ba,9c6507b2),
+S(26133aa9,17fa7770,102a229d,487c56ac,1f531d0d,536043f9,8d25d6b8,ba4bbf0b,57c2eb26,6ce9169f,8b0f0a03,cc9d7b3f,25e1965,91eb66fa,247bb5c4,213ef5f9),
+S(447cc951,1e20b173,5cf546e2,809140c1,ad248474,51c101bc,40e0ad44,ce791f12,9031be0f,bdc5de93,5539eb8a,dfbdffbc,b5550e70,613811d,dfc9131e,4550ea6c),
+S(76992362,e0ab0d3b,b4ba4552,1197fc18,e355b161,bab8b080,a9b849e6,c32f4ae1,c73b4930,47dad2da,c9eba540,5955da52,94b9a184,fb1dc60f,8cc94d6e,6fb1bec3),
+S(e14ce3c5,831c8464,75ea238d,46e8e7d4,ad77f14b,46323bf0,aa48d958,cba69e63,57b2b465,8947875,a26c956e,e8b53d83,2d8a4c10,87170d78,ff751fd,dc82762),
+S(76375016,e26cad9c,c194cc1a,fd2a5464,5b5450a3,e93eb3fc,c973db01,d367fad3,f86a87fe,5ad93797,6a96323a,e4261db9,6e176488,3f389165,3aea78a5,a3b3e0ef),
+S(99947ad6,27bd282f,60eced69,6a6bc741,e338f2d,b905fb2,85e170e2,9257ef3f,6167d7f0,14605150,2e226f2b,6c8320e,b2338350,9962b6c7,e8945f81,4ce1ea63),
+S(a68c11fa,497edb8d,4798408a,f2c0c832,f7f70ac2,45188bd5,df8caaf5,58292b66,1007690,df500ea7,a2e80c7b,78162a27,2b54c93e,1bcaccc7,84218656,8f24f590),
+S(559865b4,fb13de16,268fd4d6,f2e4adac,6fbe420d,1c7db6be,cd09cb58,a539edd8,f61bb541,17750264,94d479f,7919c6eb,9198df88,3c195399,f3bbcc5a,5f43b52c),
+S(7e88a6ea,d32b58f3,5e76431f,75a0b1c2,848b79e4,8226fe18,60241685,e1e349ab,6b070306,7079d62e,747bb6ea,85d7fdbe,1df8730a,7a62615,28b5b20b,341a5d72),
+S(a93b9d40,c0b8cee,3a094e19,a181cbfa,d4ec38ee,f12b3fc8,d8e2fd05,70029b05,8c55292a,a8a4ef7d,4a69ede8,c55dcf57,e0247625,85efa9d0,aa22d6c3,ff070370),
+S(26afd318,eff92753,1727fc74,5d3bff1a,9b433c23,475059ed,a6065375,22c0cc49,5f03409f,e8a2e649,7b1deaa2,5c2ad40d,517fc985,2bb306cb,86b0a16e,4448fbd4),
+S(c0b61efb,ddac8a75,3f32e885,df07e071,a4250886,4657014d,de4fd9b,aa84be93,c30a6285,e838590b,dff89275,a1f69548,c65d7478,52d57a6a,aef16450,f73569e4),
+S(be39b097,6ea0302f,8350a663,1ca366d7,7eb108f,ad8db45c,dd679a5b,68e7657f,4528a809,88d04fa0,b4ddd4f1,10fe8948,ae1f6c37,a13d7a10,81cdb4a3,4b83aa84),
+S(267becbc,72ebcef4,95d64c5b,3da4bc2a,3fa2149f,a554bad8,eb20bc47,b43c055e,5c5cf671,4fcc1923,9bba9e52,fc97140c,3037d95f,2aa4b828,2f019854,63e89e38),
+S(683e99df,1246557,2b88fac7,914c6b15,a819be55,f7415348,a59aa51a,2f08d99d,e5bf288f,d1a561e6,7b79920a,7cff1563,e22528dc,c0a56996,1e87b84e,98210f18),
+S(984d688b,cf2a0f4b,b5972f58,f996d13a,c65ddfd2,35247aac,9c983aa0,ad61bd89,b31672e7,ea2611e0,cd3f9397,3d56b8f1,78ceb2d2,85f15a8c,55a4d514,e8b9296a),
+S(a9224213,7882e7a5,5ef1c35d,12a6cea7,c0912746,af66057f,20a9835,5dda38a7,532992e3,630370dc,bb4490c0,76f81e18,b9b20dc1,99b0a557,4c600947,5f05cab),
+S(6b6cf051,d4311bc2,6a878a11,f5d755e8,dcfbcec7,ba63180a,6c1a527,90c75f0c,395f012a,fe1f6377,7266f20a,d3f1b47e,552c1e04,fee7cc43,bbc94206,1ade5147),
+S(df30d2a,fd1a4145,112b2e25,1943fc1e,3c251d44,f67f583f,793d1f2e,da10e3dd,e6753f83,edcb12f1,e29f688,a555699a,aa361a11,afb94832,32849cb3,33bb66ce),
+S(1e09829e,89fe1ef0,54ccb6ac,eb3787b,291ebefb,c4531e5b,765090ad,49e9b4cc,db2bbe7f,57c81824,515191e3,7718c75f,63b6abfc,ea51f397,b4a6cef1,6cb49a58),
+S(eae324c0,88d0e213,ea0a5e4d,9fe3cc78,3488bc63,22fc4733,d5a2509a,e9fe9f91,5bd9f44d,bf33e894,7572cd8d,41f7ffe6,47d1e194,b4d27053,4f3da5a2,df55ccde),
+S(ea64dfd0,aafda3c,e15d6fd4,d4fd87ca,a050e0e2,9c581b86,dc0ac4d2,9396f1f1,f448858c,36b44a58,fce7d720,b8f577b7,d0888751,2569e473,eba52a94,ffc0b33e),
+S(22bdbedf,7b4bbc51,a95efc63,8ddf782c,ef33cccb,b112e866,61e7e47f,4eeb4b3f,5c9703d3,84f23420,3eaf2139,9e2f51ff,c02fda84,570af857,e6d51377,bd837e7d),
+S(57f7a357,4787394a,d3577667,99126aac,593d86f,58801919,b1f8ad06,d92f97ad,edcedd28,23618851,ee897866,44846a08,5235a60f,d0e84dc8,7ac22ef8,21cc9bfe),
+S(38da2e5a,f6018763,89c3b2de,1101c202,390048ab,5e976c5b,b1d0626e,27b5e684,ad71092d,e3c12d55,496c5fed,739a8007,998bf851,8dcf7937,1e1e5d00,cf05286d),
+S(129449ae,79439127,7e336d44,34b40d7f,6e649931,feb5be64,b2e59678,1a9eccb6,b7c99b67,a2e523ed,9b52110f,e5104056,c6410ed7,1c91382,c4e5676a,3f0d568),
+S(34d6ee18,c82e63ea,6a795055,4558874,6b93d52b,295b52f4,239cd98d,5250a099,d8a9bccd,2d8e6f2,54c25353,996bccb5,dc2ebc48,ae5e6f55,eb015ace,e111fd9c),
+S(d202f4c9,c114ad97,963830d8,1d15018f,ea9fbd1a,37b8b818,3a504b89,5925ff3d,f250110,1abb223e,c3293e06,3dc5d2b9,20b5d0c,ac28ef72,3c3ced74,6ec25def),
+S(753d539c,82d24f0f,64fb7e90,fb9553bd,90033df,770d7fb9,aa6255d5,f598f611,340d2ed5,7f4a7d9a,d0f94be0,d7c80fa8,c3d42eac,5536382f,76568caf,ccc86226),
+S(a440e28e,e1bb9c91,c03b0664,ffa79f2f,c645433b,59ea44d1,a88c73c6,1536f480,96387729,9824b3a4,d28f1a2,7f8a6f78,60407412,2d06b028,78a31c79,85354247),
+S(aa9a9ae3,3ee7de0d,5a1785c1,75bfce5a,2d353344,3c32c5f8,94f7248a,1726a0fe,9063cb03,350e55fb,dec53691,4d1dd16f,34d3631,f7d4a56a,f2c6601e,1eba9482),
+S(61b60b17,1d406619,e612c5f0,eeeeee96,a7b02b6b,13333f29,3a67e9bb,996f4dd9,e5093ce6,f9eb8b4,4cc2b835,404ac312,2c62228c,b3f0780c,3d995ffb,f92d1734),
+S(7fc18068,b529b15c,86180482,b33b7b7c,12b6cd49,79f46168,58cb6084,c92a8443,49aa8a81,a8d66fe4,b4993097,da735768,a2a64f4d,21993b5f,e6e45f25,7632d775),
+S(8ae08ac7,6d8ab6c2,a0eac25a,8bfdd54a,1c383b06,84d99005,5f1cc3fc,ea2ae26c,1b463b39,549f3095,14e22e18,e51c4af6,c3e4f5da,9050b9e7,e1556c2d,9b47c2e1),
+S(de680d6b,9e75f2cb,4482e3c6,37b03f25,1873aa93,d4af9641,a3e0efff,d10d10e1,22fde416,c2cbfe77,e27fe7d1,190896e6,64da63c1,f89793d7,1478697d,e5cd9108),
+S(6522ca17,8d6fffe3,34a8dc3e,83a7c9e8,566d4d61,aa0de5aa,5623982d,4459f553,cf0033ba,988ca9f4,7afdcff2,abb9a069,62f1622c,2b3744d0,cf7533c7,9e5fd425),
+S(bec2be0,2fdd1e26,699cedb6,92c46054,57317b30,3e2ddc2e,bf8c9b12,a55a52e1,f03d1203,e013cac6,5b4fcba9,6ff28834,b6dc8539,d38c8053,4d59b5e3,ec3b45e1),
+S(71e3f913,cfda601b,1d9c0d29,82dde7c7,970123a7,a2c9c25c,548995fb,6d28d488,6b30b817,2785c0ee,82eeb3ba,1f3b6f64,95b73a61,990e8532,aec482e,19992f85),
+S(901223af,65764264,da7fee9d,fca46c4a,d7ce95f5,1c3d3b59,554853f9,20de36b4,c15ac0c1,69b718c7,9bc06ba8,6bb180e9,f4a45c4,1b09a761,67139e11,c3cf220f),
+S(bf0ca457,8cc9c676,e6ccce5d,dd9139ed,ef3e2a92,6d4cb5e1,34db0a96,302ea422,b067b031,4a8cd0d3,427d6e18,6c12d0b7,3eed37a2,b7f197c,e2359dd4,6854456a),
+S(8e4ad808,c2fec2de,17595149,4cd176dc,1197c18b,b6d31f18,41501c96,fb96293b,71b0086f,f41aa674,e21802fe,f44ada5d,99b5d7e5,47c60b1a,11c4cbbf,42465e6d),
+S(7c682ec,732238ef,d9226ba7,9e3d0a21,d3a23d34,66597af2,4db38989,d06464dd,6a6e89a2,fcc6b55,c9d0562f,2c58819d,b7b59177,fa16eb5b,4f6995bb,64546301),
+S(36f96e68,ae6603d3,4da2736e,f76ec4db,645c26c5,cdac2721,29527ac1,9378ae2b,6aee55fd,87741026,362d9c02,1adaf833,1a85623f,d97981d4,d0ef82d0,87e83ed2),
+S(3cee56be,a461cbca,53cec614,3453442a,8b7f314a,5a79e004,6ccf2363,7b867ed2,b43ae401,ecd4dd1e,4741fc78,cf1853c2,97352cce,853c50cc,fa4c9699,7b063228),
+S(6ebd223,be2b4d8e,6fd3a2e8,cc6d899,9b8f571a,7f5e9905,f45d71b7,7654ba84,9cbcba8,3fce430f,41073a92,a90380e7,73faee19,b2c08150,949708d,f49d23b5),
+S(112aada3,f4ae50ea,cfb050b6,52ccb99b,79524b9c,4d7821f4,d67b4fcf,b992e64f,4b4cc764,ecb5698b,328eb0e0,7a242e0e,b69821b2,38231446,964f1f01,b6c59877),
+S(54e622ff,ef55ef5a,8bbb46e5,f7a98f9a,4cc577ce,ef87fcc6,40909be4,8b0ae6be,1442f6fb,a55ba6b5,7344b4d5,5555f71b,4e77c10d,442504b1,64f1d948,a38a14fc),
+S(247497b8,1e23728,f7dc5d0b,8c450eda,fb6eb9da,7eb90d35,e5939440,8705301f,9a5d529e,f38de912,f5c7f58,56e02285,32c6a6de,702244a8,6bc1990d,6144b46e),
+S(720cdf82,bf44e211,b71d6fe7,52ed34b1,c9d7f88e,5c4042aa,b3826812,b45df62a,2a05003e,1b36d9f0,b76e34e7,66feacc6,2ed49573,a3f6414b,f631f32a,9d79817),
+S(7b9a28c9,8f5260ba,18db1c61,5656d2ba,3de591b8,90a9cee8,96f60bac,54cba095,8a162ddc,95ca8565,d00530ad,d8d338b4,bd62760e,4f185963,60de82cc,9b543e57),
+S(cef8910e,534f2fe1,9228ec86,b903a1fb,e6056a5d,2cf7ddb7,f2dadb23,6e2952e2,deda80a0,305e27b8,e9cec5c3,81015929,202fbbcd,3e84340d,3172e0ed,70666b1e),
+S(1203af6d,116f7b3e,4926c3c1,f9002e20,196ab0e0,1c6b2b5f,adb17142,8e2f6ffb,6e7fc524,23e6c744,52d2b6cb,4d659fa6,6e541df5,785cc666,a4779429,7ea3a842),
+S(c265725b,f9c43ae8,8ea01292,9d0e3edd,e9bc761c,54316ec3,47adb51a,98eb4590,362a5d1c,9f0ce3b8,9a6c83ac,b30a7e00,ffa5bf70,be1490e3,f1e643ac,3ac65019),
+S(5044578f,e3d7c3c5,a70a6a1e,dc6686ef,da027c91,a9bcb7d8,5a14cbff,6e7eb943,18d64743,78e2842,b6704760,d8c68b0f,5caf61d0,37fa4b20,98046c88,8a3e84bc),
+S(3d278c7f,c4644246,1b324f0a,f666803e,5e052d5a,80dc0755,9d067d1d,e32acc63,a242e218,d1449f64,20417ab2,41406756,e94d3aa9,f4ea1c40,192015e7,3f3b74f6),
+S(e89ac46a,382f58ed,982973b7,6569c95,c23c7ca4,4c893317,ce3c3a0d,934b4c93,f8db1b16,6bca5162,23b6d397,3a7d429,9a99a1f5,1c9e82d9,96e00103,11a9c696),
+S(d46d9244,52ed46e3,5868ca93,35c9f14f,158165af,f6a16d0c,f31e90dc,569b8acd,c26880db,bd8c2308,5b2995e5,7a40773d,e692799d,b8680a29,d01fc51d,d92bad21),
+S(52b62ffb,6989bfdb,ea671d22,f782c692,aa99daf,f6afb854,a260f6fa,3a5dccd3,75d15e76,a21b03e4,7adf5c27,3953584c,9067450c,343f026f,e0dea126,6d6a4a52),
+S(b3db1f2f,9c3e602d,5c32a28e,85079423,3759c3bc,3ebaef4d,485f1e00,817a5f30,cd336cbf,7cff0f29,211b9c6c,3b811eb,1d49dd23,c03d36b1,54b43c71,91dc62db)},
+{S(ae5fb021,e9256cc0,6236d667,b76b9bdf,304a4683,d2916ffe,489cf019,6b4c5683,e768366b,5c8d36b6,18e45550,d57493e2,41fed17d,12627e37,b29b4b74,d3603696),
+S(d6f735e7,93f6162d,d540a255,76449ae8,edd46e31,d8f641a6,dda76200,c0d33e4b,7f8721f9,23fecd81,b153eb3c,eb2cc58c,c21f3cce,56a1d750,7f99934c,4ade221c),
+S(84254df5,b28af43e,d4aed5f7,4e104d1f,2fb371c0,a2adc7f4,21415ce1,ee836c51,b07204a9,260540d4,8e29fc23,e254f378,a49a2cfe,fa21efa9,a2657342,3be3ffa5),
+S(7c329ae8,269aaeee,fc01a25c,d2e9a15e,794c589f,b3ad0c76,d51c8efe,4fed9c87,a31b2006,b54e5b13,1e5f4997,f1eaa866,77aa3073,6f6b808f,249522f6,99373dee),
+S(922c5ab9,b3938aec,d8a89bde,ff2a803f,fa6d77bc,d1301d76,3f8aee6f,608c8976,efaad685,6ead7c1d,adeb3f45,988af445,ed6701de,1e063a53,6d8b76c7,64be0ee7),
+S(3b3b6d42,b662a8e7,44e218b5,4e8c7ae8,842600d4,dc8ff55b,701ae392,512d2d88,3319f63e,5e72d98e,21b23c40,fba11751,cba6756a,68dbd747,f5ebf054,34f8ea52),
+S(7031413,ee20f2a3,c716ba79,39882dd3,74dcd7b3,c4fac819,10b856bf,72edb957,20fdd866,33755d03,5ec21df0,39bd4c33,e4ab4bc3,4adc6e7e,f95c6afb,980daf70),
+S(b924bf9c,93d735fa,24f61239,83aa798d,e6745852,cb1202d4,db74ded6,a9ca4d67,c8800807,c30e88ee,6351e5a6,547705b8,e29f87cc,4d7166ea,c719d0e3,3f156cac),
+S(d43f2e6d,a0f105eb,e6fa058c,c3e98099,3d878f4c,40791188,80a8c5dd,a775f798,3c681084,a8a466e5,34fe34f0,f533f6bc,7aba722e,37af767d,30519272,4465404),
+S(d6fa6f22,5617d2b0,6b35249a,eebdb016,517b7ce8,f2f52051,385ecd1,e987785b,1fb064ba,ee45eb8,b7ee88e5,963e290d,6bca04f5,1edd9623,a94476d9,83d60fba),
+S(8584a76f,1b641da2,e3645a14,b9b0beb9,9e43f4d8,40ee16bb,793aaaca,c212f1f2,9d3de317,5cdc70f1,35aa3b81,e8a31154,15a65855,510a1bc7,d980715e,5af76d1e),
+S(67f50f74,1508598a,c32fa77,8e7b2ee0,3b24b63d,7a48c12c,5bebfb4f,8af63e2f,f35b00cc,c14cdc2d,a088d8eb,b2b39878,5fa46ed,4ce966c7,8acac1d0,a59430b6),
+S(34bac85f,a0bae27,e443336f,c6e6df4d,252e5586,f0dd898a,afdec4c8,8a57239b,756a85d9,71dc0296,8f7124e2,5edd877f,d8554377,4c8dc772,ef22f698,5d741a7a),
+S(1d2bf603,120749c8,c802441d,b3021c02,65364a0f,6a162d41,f4dfb347,a425a8f9,4cc35601,ac8bb504,13e3a3ed,9d67a55a,fc5cfb51,d3caa73e,73300b65,9503f351),
+S(26b9ca6a,aa72fa3b,68c0c995,52636afb,d0f6e88,e540dfa7,a5955952,af5204ee,b2d6cf87,1e017775,152ec88e,155e7ff2,5c04a631,92df5074,2a5e546b,6e15cd89),
+S(7dadd65e,6c658083,e82369a,bfb1745a,fcc94247,54db92f6,3fd00d25,23172d06,655ca6bf,232d8f85,e5d0ed6d,5b4040f3,c34e9589,6be0df98,2c65ac06,ff50d51f),
+S(98667128,2950f125,a399c076,d9eff5e3,ab8eb85f,c5a496a8,ae8c740f,cd4853e1,949246a6,b2b17c2f,2ef08455,590d4076,a26c508,6a4043f4,18f2d2d7,2dc42511),
+S(efa70ff2,4042d4cc,5215b450,703838fb,d274bec,204df700,72a014b8,33d3bdb3,62fc11bb,bb1a6d7a,b585f05,c5da598a,f59b2148,f31d293f,17280652,c8743380),
+S(97ea8025,12bb4141,7a2ba994,8456a498,f66fffb1,69883e3c,970d4c13,834c9f61,87cc181f,6a83fc47,c1ba6e74,38104fe3,1627ca80,6b4efdb3,329c62aa,d5cf9913),
+S(1353da1,849ae275,84e55047,e8662ff,2a2361ea,fff847bf,17dd5c8d,52b46942,a380a7c5,2ddb6241,cf7cd12,87cc89d6,96a7b3a9,5a198785,76bc4039,b9a913ba),
+S(33329e8f,50855274,5598448a,d07e36d8,85b9eb34,8f67b10b,a8b7d04b,b71edc4,be08cacf,ad6763bf,92864ae,3afebab1,a6b19992,b1f0d9a9,436f42ee,b96c6c90),
+S(863827a2,46421930,553387d9,46fc1b4a,7d40549d,dd470f6c,75569887,27fc2747,3fd2c6d0,a9d5a056,95c25ac7,8f7eadca,465176d4,fee49512,72a93d33,5fe7324b),
+S(8f2c64ba,637543ac,67a7706f,69ec59da,9528be29,7b1be5e7,ffb4fec0,e16d25af,7cb53924,c47605d0,239add6d,287030e,9e8f33ab,4a36aa56,54f1a729,e3dadca9),
+S(8ce26953,8fe8a9dc,ded83d07,717e96a5,c95eeeec,e6af2b92,14ae0811,b315909b,9277f1ea,33861808,36545b6a,f467c0f2,dd96ac04,28ea8a0e,e32db52e,de60207e),
+S(44274f51,cab44f1e,3e527e95,e92156fd,1cd2e363,332876d2,d3ce75a8,e96c034d,fc4edd64,5e2fa7fa,3e0a8a60,36af7a5b,80424f09,7203774e,489ad68a,5a0c3b3d),
+S(ac9170a2,a320f19e,211c2cae,b827e87,d065a9e3,15e11584,d074c328,b38dff24,5afeef29,a8a03e49,45009c9d,e41d354f,69d8d974,ff0f6b08,d0bdad83,5bb8fb5d),
+S(eb21ae48,cc5aad77,7202e145,e7178bac,af1899c4,de96aee6,ef2560e1,a13e898a,5726d1a9,1c897a8,c6594022,e139d2e3,e23047f4,99d107fc,9f3ca9f6,aee95d9b),
+S(b6b842c5,bb0ec79c,36c0831c,b87f8eb4,8234618,f5d1b888,678d751d,be61c7de,9dc3deb1,6eee7b4,4f6d29c4,ed170cce,2fc78db1,a5485dd7,85fa6de1,8b9d1838),
+S(281f770b,e956f478,26529137,e836d00c,5a5b55c7,4158ff32,79b96ef,7b6f17c7,33e0dd6f,e4610a87,c703f4f1,9a7f2b14,3756ee8f,e3e6fbf1,a36f1d28,88a2a836),
+S(3520dd8a,8df2555f,2a404ed2,d2766080,302a38ee,14cad37e,a7c575cc,18334cd8,36000e77,7a789b8b,e3de5ef9,71b345f3,3e08f491,3171df2e,ea41e07a,cddbeb92),
+S(4307f2c6,db337087,5e69307f,73fc13bd,eb70f5ba,8651e507,2b58ba8a,5945c07a,198ad388,9d9c5b9d,2e050e69,b8b0ab53,8641f4aa,98204215,5262143f,2e513bbf),
+S(3f69e90e,4be15f1b,7a3e0518,d2173143,8fa2d0d5,31617b6b,390cb3bb,6dd3e130,2c2eecb0,fed8c40,a0e158ed,44c94f07,61c5c288,d525f12a,ad927235,cda29dfd),
+S(487638fe,525ec3f,fd34fd11,6ea6629d,4c15cf03,fb581c18,2c14e0a5,526e9b99,464c0ab4,eac365db,ba6aa562,2dfab02b,93ddb339,d790f875,f8e98a6b,6dc1677b),
+S(9fba06bb,20600712,45795836,ba95a91a,af40c61f,c9c83511,8bc97ea2,1428981a,97930e0b,e2b4fe40,8bb37aaa,afe5b66d,6b8c140a,d4a0b0db,a39abce6,f35bb8bd),
+S(fe0b19f0,dd103ec7,cbd3d605,dd1e6230,dd4dfad1,b4dfc2e0,23b8463d,8710a27d,167d8e8b,4595516,1daf03be,99d1dec,383d4c47,247c68c3,8927515b,dd388621),
+S(a935d63b,16467a8f,41657e49,2c9f7fb3,c5da37f2,3191955b,7e73882,5bb3d256,7fbcb19,2261cd98,ff7b5087,567c1dc3,635b544c,d9f43d02,8d11a94b,94812623),
+S(ad28e247,18f124ca,b1377df9,f3f78fbc,1fd4f8f7,74925d02,2f11f56b,c08bb8f2,e3205a6c,5add373d,4893fd23,84fab0ca,525f87ee,ea5b687a,b1b60550,f090bc1),
+S(9fd9c788,2172b1d5,9f2c57b5,746506ea,9483fcf1,5cf51ecc,70fa4a40,841f7e9c,900279b8,566e555a,ad3e1318,dc890ad2,6a0c9e4f,36ee4e01,d3a6b046,7b66f11e),
+S(85ab8716,a347ffa4,fa4a9807,6a7a1e4d,8f887dcb,7b758212,5831cee,5fd755cb,ecb83ee,e3ecf915,43460350,39e2097b,ac9f0000,2855ff37,ddbbf6f8,6d2f885),
+S(da34dea6,49f6db93,c4edb612,c7872054,d78b9e13,4614502c,e2db2c3f,1445d2a6,d34bd4f3,d65a7b20,79510648,3b41c2ea,5ecab70,5fe961a8,a3844e0e,95b5640),
+S(1faf535e,2136c3f0,e5026f42,15ee8d0e,d088dbb9,81ecd469,b5311a1d,c235462e,ac1e6f90,a482e42,c6c4cdf2,d8c33dab,b307c39d,c3745cfa,db24810,94e826c0),
+S(d1924ae7,ff945ae6,5c1b41fb,398c257b,cea8bcd1,fe6c6e8f,2bf4118b,c6bc9fbd,33d6d54d,237fdfdc,4536abf4,1bfe6681,173a3b42,5652aa1a,9f605f2,8c2cf834),
+S(5e30dd95,dc01b76d,2eb1876a,4d0079e7,4473f4d6,acf88f,4b1a7ade,81ab4a44,5edefb5,959759da,4c39c9b2,8ed669ca,7e96b937,394f8cf9,109d99f2,8ae94e9e),
+S(1d1b3ebe,aaf21685,c590efc8,5def9bb8,4b5a6e74,de93b34b,b9b169af,3d1863b6,9c5230b7,c41d8d3b,9512a817,34fd101,9d98856e,b916fc79,2806e377,2a75fc93),
+S(b1f84efd,e53a7f4d,4cb66989,876f9521,9922fb16,65dad292,a342ef77,f151a7e,624ba3ee,f1bfd30c,81e905f6,fc9a17a1,1c0cc014,acd9ef0,25620277,3e95e849),
+S(88857890,30e21565,c166d64,4b14a4ba,9832f99c,764f34dc,ee2aa79f,60f3b4ba,bddced24,35da5a76,79c207b0,e5713ded,b73cb088,997e2ecd,c9cbfc43,f38bd096),
+S(f4b8fdea,a8a4a630,2d59c0a0,b34c2998,a7a72c6e,911cf7be,7adfb44,63d1a213,f78d9aba,e80329e9,f02c4f9e,d1bc524,35114a63,884709a4,99925c8c,d06963f7),
+S(7f85e0f3,6a03b7c7,47b9cf89,55aff917,df60dd64,f35e14b0,4e9ba8c1,d647393e,f3b23489,f86e10d9,f9f542f7,49df5ae6,d50f5613,481564f4,b8842869,6e40b72b),
+S(b5d3138c,6fee7f5d,68599558,b7f4dad9,948d47af,98abb02e,369fff57,bcb9deda,e0d247f5,2e097751,fd33df86,627cc172,5a26eac5,4a6782e7,7c42cda3,b9262d58),
+S(7b13216d,bbb83d60,20b9d45e,5b202538,ff22a2e0,e0358147,22344248,d352f2dd,2eff7c95,77819e9c,aa0a762c,ce70fe9c,f0732917,46a2c8,250b0a86,77563e9c),
+S(3a79df59,b1f3ced5,70628491,9aafb365,59c757af,efaddcf2,164dd3f0,73e0b85e,5afd0066,b083d36b,da510974,75d07f24,28ec9d25,5ccf79bf,49e059d,cb637a1e),
+S(318610b6,9f525ece,4c7b4c28,14cd0fff,d4729929,56872cbb,3ca350b3,6c0d5aae,8dff9296,62ccc6a3,af202f73,4825ccea,362d64eb,30fc187c,f8db26fb,6ab1ff8b),
+S(e411c5bd,ea470bea,188e8e26,f7207bca,4f92c793,ba34c1d2,d1a0ed70,f441d836,d4d40b75,f46aef9a,b17afc53,efdee46b,50217b2c,93058fed,838fb17b,4fc33be1),
+S(f363388d,497316bd,bc962af,270c591f,6d5868c9,69a08003,1ca021b2,f218792c,6d29bca1,5716584a,8f13a69d,498ffb53,f37d38ec,d7703e92,d55f2dd7,14b860a),
+S(79852af7,34689490,a5e7be06,33f973a4,5f1870c7,aa5912c8,8b121a6,3a6f7aec,ce1bfac3,f472d348,c5186160,e167d840,426a4be3,7a58f56d,ed651eaa,15d14053),
+S(353357d8,c93b2dc3,3e091ea4,fdfc99dd,3d235074,1eefd250,70215e03,7ee9f450,85c07a65,6bc1389d,9065abe6,a896d4b7,953aff1d,f918827,dd0b57eb,918e8297),
+S(d64e1ec,704e979b,5cd19df,3ea4845d,8161f348,eb9afe89,de1c22ee,6fff6236,6772ac7b,c2224a28,dfad9639,3b9fd942,6f59d6bf,7e4a94d5,4003d24f,6b1cb2f6),
+S(4afe8fb,9fff7ac5,3a0a0689,24b5961b,4056f190,27fac3d9,dd493338,180e41ea,efb6bb06,ea3ed1ee,c5e7603b,2cbe1d11,e32a1602,19079b9c,a04f997,8ed42f29),
+S(bb42b5e7,a047ca7b,eaa52d7,48c763a,3ccb8ca,38f252db,f131d123,90cefe5c,65f8231e,f9bb6ac,4adcd01e,87b99dc3,b2dd30dc,4163d84,8dc0faab,ae035b87),
+S(cc6431cc,e7e4ad45,a0125326,6a8114e8,ac9c6896,56cf6e75,ae8cc4dd,cd810a29,498de8d3,f8194a03,ee8c5db,d1d39826,6e09563f,9d5253c2,a6f5ddbf,cd41dcda),
+S(624b81c0,b8f558b6,6b19afbf,76b1b7c2,9ed964a1,b53b6ac,6e58acf3,4c6e4d4c,d8429386,43d28c7f,f0e79a55,801a989b,2c923c36,d84638af,686cc637,2cc3095a),
+S(53ad6cd8,b0bd0b5d,2742bd76,65c0d0dc,25234c21,a68fc9fd,da85b2d4,a9efb4d9,d886b54c,9dc40ae,40f57f4d,112da945,46c44b26,8ab08440,d027740,8264d5a),
+S(ed7a10a6,9a2a65b7,7f3bfbcf,2d8b2f5,57ce675,5334f13d,615f85b4,7bbaacc4,d9021ae8,e1a0cf99,ba539b6f,52dfa141,ac6d2d48,ff71c1f0,c2cdfba6,845750e6),
+S(b07022dc,5d250d6c,1464a03e,538b53f6,72470792,da6bb28a,9eb97664,a9797d9d,6e1dc0e9,2b112d0c,520e3fa3,7e90f7b6,36959a43,15a76833,ad935237,6ce4a96e),
+S(f0cc2567,eab35314,d0aa253,681d6319,cb016a81,c6e683b9,51e151a7,98b3ef22,cad6711c,1ae440a4,4f547afe,693d199e,4be0f8d0,6a13e2cd,4127e9fc,c99da815),
+S(1a71731f,232ff7a,670c81a5,30b9868f,eb59fde4,6c77a264,7357b84e,51917b2b,1560cb00,13a3bae,23983028,4be74589,ece8016d,8c6a23d2,9b52faa8,e907eebe),
+S(b8e1e4c7,461335f9,536fec82,30136f2c,a348baae,bb3a6cda,fc8a3a9,bcf72df4,fe85e36,e956074a,26f56f8e,ca1f4fe2,81b0a682,508ca1c4,d6c3249e,21f48cf4),
+S(63eeb2ee,ee187fe0,b80d0c2f,ba2222d,1a763aa4,776b2679,b14bd541,f566bf8,56ead5ac,84ae0964,c728b87c,979557b9,c44c13c7,dfa3b31d,86a7e31,5a920c99),
+S(862e7b7f,9bf1cc99,8f0a3cc6,3d873eab,228b3977,8bf3aaba,57ab16f7,32ba9d0c,2d69026e,f29ac9a4,151d9f98,1c4248e3,2c3e4789,72c27811,68fa2c4f,5fce4a28),
+S(e0588c62,3f65c421,e12cc7bb,d5842e84,bf46c00b,3ea3c38,9ef98056,6cd1deea,98dc9056,d105607f,569aa79b,6d6b6cd6,1b42f749,4333e255,35c220e3,15f9d939),
+S(9a6f0406,7e3743e8,78ba2f1a,4b4aa09e,bb8b5bf5,7058128f,bb0a573b,1c504689,6ad673a6,61c9dc87,15cf81f9,3815b32d,6c47879c,c831c549,5a17749c,80003838),
+S(6f4bcc03,ed655fbc,be383009,5fa5a1d3,3d4be203,9380ada7,d53e1ba,248ff68f,91e8f700,44126d04,ac2cb1ca,7650a287,e77b2a9,8cc22e9a,b36b4906,5d03b8c5),
+S(66b32a92,23945f66,ba2f7934,43f5e31c,8d0bb858,3fdf9db,6d1861e1,fba5e0ec,74d81838,3c0aa55a,16242a41,3ed5f9e7,6569d041,e668d82d,ff90f6b2,aaa9b9ca),
+S(c1acd55e,cc4b6743,3aeb6a4a,6a920dc4,626a4219,d70cec1a,1fa4ad6,87696330,6b14fa02,11b63493,ccaa9c6f,e2c288b5,55a4b851,d6a20682,d7aa7039,6c21b156),
+S(2bb86341,deda561c,99dd59b2,dd2392e1,4a5cfbb8,9fd49d9b,a35634dc,3274bc61,3662d431,b4403678,a9d59758,dbb413b4,6b48bccb,f3fc9fba,801fe7fa,8d9da0f7),
+S(b94189e1,9fa60eac,7b1eaf49,be80b0f5,511693cb,a0efd3e9,70cc0036,eeaf851b,26ee1cfb,ce3445c3,c217bc5f,5ed12d1c,59367ac1,80b65b91,a52d1d8f,c091c8f5),
+S(8cda78cc,fba3d6e7,869ad44d,bb5447cd,718be851,df976c1b,ec65be9d,335ff879,cf2cf6e0,94f20682,505bfc56,8f537acc,b2289003,c87c5cc4,23cfc9a5,f61acf02),
+S(eb447748,ca42bb71,71c6183e,6ba0e9,a61360f5,b9b686c9,246295ce,c8dae15e,586d8bb1,4dd7277e,5aefa348,55af5e89,55e56526,df89ba4b,575911e7,59f6cd0d),
+S(73beb803,c18a68a3,ee1c945f,6031c646,b08c688,6d5b4999,5641181b,c6ab7b0,5fecd8dd,82e3f515,d7a23cab,26949aee,afb1c1bd,1cdc6853,90f3d081,ffd51157),
+S(4c3f9e89,e5cc661a,ed4ac704,f37cac28,42afcf38,2c4d51dc,fcc21761,d87311bf,28547fa6,8c661209,67ba52f1,3a13ce38,33ec41,402cb743,49d82e38,2973f615),
+S(3e19b5bc,93c422f0,42a2fccd,1595e7d0,d89a2655,fce95a02,56802460,a3ba5b11,edca8ed3,2758daeb,f2649ad8,80114b84,654c3b72,d7ada177,2b84ea75,ea7079ed),
+S(7f4b2fb2,6934a60f,50fb114e,b382e0c3,a432f213,a57124f,6cc23e84,27cfe1fe,d0ac243d,9fa8daa2,90efc550,af03e5c2,59d39ca,de0e8779,d68b5880,c74fc874),
+S(daf46145,a53b5aa5,ff26bd5f,e0b1c880,835e04ae,9dc51caa,ab37f168,6e57db0d,6203be50,dc56e59f,adee0012,d1c8f24e,afb8caba,88dbc814,f6c127f9,efbf956c),
+S(2b339287,f9760403,6bf7d2a,5dec5ac0,6ed9d23d,c2557b4,f853ecf7,70131ad1,6cfe12b6,fbfad32e,b7b100fb,7abcb7e8,cd990d72,d5e7d10,97ad8a45,bf056c1f),
+S(2b42fe3d,6a44b1d6,8077ffd8,d3eb700,96afb615,f70af414,48ba4e88,32791e4f,1a8db3b8,50293439,9d31a512,9272096f,6e913775,ae89656f,da79c425,90ec01aa),
+S(36c5c074,76246100,bea82171,713bdf41,3d8ef2b9,5ed50fe0,390a93f7,7756614a,53842c42,37723b9d,24cb4666,9f587f68,fb14601b,f4d7b05f,24f9533,2b6d41ae),
+S(6c82d0ad,ccee854e,b8ccf077,4917a92a,4c8f4f1d,da784312,2f317ebf,8e8662bf,be05113c,2fba79a4,14442305,f8773526,3b909e30,95a51853,4f76a666,7be28f3c),
+S(5019f59b,48e6cd5b,bb394dcb,3b8798fa,bf13bde6,20916ea3,ee9fb32a,53eb2503,4b2e655e,9a09615,7d64ddba,49d9b337,a84b6b1a,707d8896,93211e51,6829a07),
+S(301d16ee,7f980c8f,98056bb0,6ac49906,f2f5f404,f36f4f7a,e1b93d47,6e6640b8,d73660bb,d9bbb41b,8f0cc43d,d203ca79,2f07d10a,a60904e4,8d2e3905,e207ecbd),
+S(23078318,53146a67,7e03cade,15e9cb41,d3f516c9,4762abc,8a6d7722,1f5557ba,bd7df729,10f0a43b,74a27c80,5bf3dad4,7751af23,9810d9aa,3f4ebbb5,773732b0),
+S(2b91a10c,bc666ed3,e7449d2,bda7793c,d6ddc1e0,59c90e19,b85b80f0,50e2a21f,a9b18e39,5154dce9,d6da961d,dea00c40,c58a9cbb,20d9829e,ed4f246d,e7a4af15),
+S(73f25213,23e97715,c726b678,cd8374e2,fa7fa140,ec0f9de4,ca25ca02,277bbb65,8b1ec6ee,85ae17e8,da8f6984,c6d6f2df,fa7d2fd9,440904cb,449c227f,b3bd13f0),
+S(b8971801,ac6925f,374a5901,2b19e8f9,f2279479,70d070d2,4e097e04,35b4d196,7329d3f0,23a5d418,68e576f0,39b7ed39,8e0fe209,25f098d9,ffa1c45c,8c805fd4),
+S(15a6be8,52035719,da9d99e7,9971035d,bcbcf637,d73a37b0,ed8a0113,7500f8f0,3512f517,b5d07551,2f1e91b5,79ceb942,2b807bd2,6be8c336,c124057c,8f204957),
+S(6a814e7,c5267f8,182b46aa,a657ccd7,508a468a,dbd9a8a8,b7ce315,2fc672a5,87013b76,ac1d422c,41c8413e,884feb4,bcb29c4e,4639f65b,1962eec3,25ca0d1b),
+S(d5ac8a12,2c4e2e37,4145aa10,d5309658,d5d8dff5,7a246d8f,59a4ffd6,43a48d23,683710d6,6ee30017,a07ad2f9,8c12110d,f794c8b4,d92a89c5,6b509470,ddc737cc),
+S(9b2c7eef,f744c46b,6e080539,6abb4dfd,6309458,d65185dd,d72a3c2e,ed301b,866a08de,d9d8598,c90fe692,f195d40e,e7a294bd,13f113be,b32323b9,edb35354),
+S(a1d0ca41,dd26772b,303085ea,6514331c,57dbac2d,f7129d3c,94a14b56,64dbd1b1,828b9dae,dba3a32c,e72dce2e,e57cba96,7b3a8001,dcf4694f,4e936cfb,2d195c9a),
+S(d775ef1e,c3e03ea0,be8852d5,50d30e2,651f2b6c,1b88cce5,8726d66f,e0f73334,2abd706e,acb8e68b,3a3b096b,4517912c,61fffc4f,8bd6c0af,2ba7affe,f3446c8a),
+S(6c4b9a00,8c0cd988,e518536e,6dba0027,60e43d4f,e26e7a00,632db70b,e7701742,79d51a,905d04f5,75067ed4,8b22de92,3c25c98a,f14d2955,dce9021b,9aa9950f),
+S(39af331,36455357,e7b4a48e,d74e5b0e,182363c9,aac8ff12,545e7cd4,7af66101,e66eec81,736f055f,7325521f,e349d4e4,3faabfb9,c73f7bf8,7c9a791b,1635f16a),
+S(ecd4f3e5,36ec00aa,8b4dcd7a,997cb470,6fc83e55,8635c241,5c03807d,16f6916,479006dc,de668a08,fc4d3bb4,628c8b23,6deaad8e,9f75e99a,93e464db,4bd96a8),
+S(d26fe1cf,b13ba752,d76d09d0,1ea6204c,8e90baa3,79ece72b,80e6f7a9,282348b5,db4d5f6b,c63ebd68,44735571,a0f43d81,df9d5661,471a1050,11cf4801,b182d80a),
+S(6d00c0ca,7c94bbfb,dcc30c47,1f5622e1,afa13179,8b0fef54,3adb02cb,296faab3,7705f197,bca702e1,3ae1eb4b,ff6d8ad2,80c43085,ae5bc7f7,12fa75a7,aa65e6e4),
+S(5a77b624,b3949a1b,16587011,cf9b251f,90428c1b,6f5a371d,f2499c28,92c94982,928036ba,b113a731,65760dc5,70562398,f23d1a53,126ded37,6370178d,37ea3db1),
+S(e92f3c46,b854d695,455035b4,fae2d3ff,83ad6f62,5fe9e8f9,fa9f3266,898d063f,9ddd806c,683cdd2b,430677fe,89a7a603,75fa8923,bf72c196,cd0ead02,e1d9fc8f),
+S(c9d99f0,47ecc29b,5892fe3a,9a285f23,eb7ea82c,e7ffbe2,2f0596df,14c2f8ef,64c0ead2,269f8833,a7a16d8e,d0c3acc1,56309197,9685467c,f4b47420,1b6e74c8),
+S(85359be0,9d8cdce,de34edea,1ae82ecb,51af02ac,8294ac59,868b7972,c114398c,6e6e163,3b8101cd,5d3b4264,26a05f69,3aac26ee,c5da1d7e,75944fcf,710b15ff),
+S(a1fb58fd,d1283e1f,86026dfa,4e29ff12,da8d9c7f,d6e75e9,6fb31706,8c9f34ec,9429b8af,a89a0031,ead59b83,a9796219,aa8ecbd0,a7875b79,c9fbdddb,85f1a3bd),
+S(8ac4d467,6390b97d,488f7943,5e68c47b,eb7c6cda,f920cfc9,dcd6faa9,593e1185,5cde9d0f,3fd47f0a,65b9d7ad,c415872b,f860e1c4,74471b6,c57d464b,9395ead9),
+S(1e1cdc12,96067717,2b3776e1,d61a872d,a65c6a99,33596409,99ac16b8,f836237c,f9fae2b3,49d8e6ca,57911ffa,ba411fc0,f80f45c3,a8ff0bd,ac0d6dfd,1b4fe271),
+S(b96841f0,b49538fa,7d14c6c0,2cf08242,d6d21ea7,333ad720,9a0f6156,67f6feb2,fef3827,23554c52,6fc37f41,7baed824,17f163b6,e855af0,51e81cde,bf8a32dd),
+S(b42499ab,a8a83591,3be09ac,504c6c47,3214f31e,fbab7573,67936d9e,216fd0f6,a2f6a202,e1a97f1c,cf083e26,c84ee6d,7d57cee2,266246b3,c4b6b56c,5f4d613b),
+S(418c2e28,7875dd00,6c5760a1,1c72ec31,f267677,7d27a4f3,fc03cfd6,803d85dd,5e727ed1,a2180e35,4bcfed5b,65eb44d4,f045d3d9,ede9fb67,beba53d3,cf8c9ef7),
+S(1aa9e157,cd261a2d,c4a00e7b,d119968f,5bff1084,4cb9c835,62b7218a,3d484fe3,d13b9646,a6f1edb3,777a526f,a48353b4,eb06031e,1a2327cc,99be4b06,836a3bb8),
+S(2e865670,19aaaf33,c7833174,333e3f9a,bdd63c7e,d25f0af7,49f2d7f7,a69bf7e7,69da2079,a30f2791,8966aae3,b3b9f8e5,fc150b3e,e71616c7,ca845174,36ee5c24),
+S(ef7a8374,943df2f7,5ed67507,df3c1a2f,abe2042f,d66e97f9,4f6e3490,1dba9ce2,6b93d053,481b8395,c77dc3a0,6abb3125,7951ad9d,d9d76190,1e218bee,8bb6b4c7),
+S(2d097904,179b400c,165cd596,f57919d2,2d7b0535,8018d528,aad0d3,23583478,9f9a0ecd,6976d6a1,6936816d,95283e18,3e94cfd8,9f384bc8,3573e695,35e15380),
+S(35b46f8e,231424a2,314effda,3b610f4,5fcf33cb,799b5db1,6389b880,93ab66eb,5e97fbab,a0b89500,d9dd3e4,2cb68439,ec7eda2d,f1a5d6be,24186be3,212f8648),
+S(eaa55e55,c4e410b7,2e599063,f4cc976e,754c43ab,a0df3bae,825a4563,fbd27711,13966980,3ba07091,faaa131,71437472,67a75d15,3f5611db,91d4f27a,80aa6975),
+S(310c9ee9,ead99f8b,fe9c711,f93357a,e2639181,176d4a6e,4ac84cb2,2a52d6e8,300e5486,deb90657,dbe417cd,6aae423f,bfb00e5b,b3077fef,b6b8a166,10fbd172),
+S(de1383d6,2eb93ae9,81f87d12,7811be58,fc373b38,893f0e7,6a417a82,95b27bef,f86aaacf,8704cab3,f0715f93,3eccc9e8,203396e0,636a55fb,ecf76440,7a2ecbd),
+S(f5bfa7a0,28beeef3,1fbd817e,5ef6727d,5b81e76f,179fcae9,f271960a,51eb954f,ec3fc89b,ded5bac4,72d79d7b,19db43fa,ade10bb3,cc43d38c,f38efb3,f9ae9f66),
+S(5e67e65,80b858fd,df24ecbe,f0f3100f,4378ffb0,7e382ff,f4761ce9,226d29e7,870a1da5,663f1be1,4cd642fa,d7eae191,d50fc6cc,1146882b,5b6eeec4,f1e80123),
+S(68cf070b,60e1778d,7c9a2f66,b6abe3fe,23c2e090,f4c59618,a37eebb8,e7108ea,f09cd61,f52305c8,803a2346,65f76a14,49d2fc53,8a4122cf,8462ec5f,b64652bf),
+S(427d23db,3ff49c5f,8e693ed8,d88a9ae6,339105cb,cbe2195b,13f39e46,172abe8e,25f4ab41,24ce76a6,a59cd840,de87daa7,be30fe64,59829f80,2caff723,efab49fd),
+S(18c3c0e9,810d5353,7963dea1,820a41ab,3f662b0e,ad0fd5e0,8b07806c,e3bc1110,da91ee74,69e89a86,eb9d4ba5,558d9f77,d3c41201,e0db692b,8f7cb583,da4b41dd),
+S(f16661c4,dc6130ec,79c47737,3794193f,7538ca5f,2560ab19,23929a75,ce4a74ca,a225ddd0,d3c3fe76,adb89df3,9987d46e,4b404343,6cb457d6,c3a13583,3b41e05a),
+S(e467d2da,4ff404f0,5a1fcab6,631ff889,b8f5809d,64328225,7c228589,cab00ccb,86c1f60,ef5aa2a9,5b262e4c,d539a3cc,6839d704,f20938dd,7b93f958,9f461645),
+S(ec69c75,520581c6,4cca16db,acbed064,20df5851,b3b13bcf,299aa02e,4473dc92,7742d8f3,96aeec3c,b27d066a,fb640236,ba38722d,e1ee4d2f,d0c9d810,3dd14d85),
+S(21c0f26f,1e5a08e1,3db7581b,86fc8869,f7db1689,c1137223,7305f875,65d3c5db,e799f72e,24aa785e,13de622f,224af49f,ba408dbc,22a935c3,2e3909b1,2da7d775),
+S(a49694e1,2feea444,ae028e73,e7c56924,7ae4c7e4,fd7cda34,425aa039,c4c13378,de760a14,58c508ba,f8889c90,35478a55,a8ffdfbb,4ae61802,a364832b,5735b599),
+S(1c49af88,e3dfe13c,69e470d5,d8680b17,b2f3094,6e94a5e9,5de05936,d556eb71,3466dec,96cdc49,54957fd0,3bc9376e,7b53b222,ae5f5765,a6645110,c04e8f05),
+S(e445bedf,aa503c85,c98cc507,86724a03,d6bda967,ded1752a,3b688844,485c0829,2eb37e04,25589c02,a1531e24,ac1c2df3,497cc81e,3ae51641,cd57db8c,f70f2ae4),
+S(1fe3fa90,70496133,c6ebf718,8a076453,91c67d39,6d88f09c,a8244c62,242b494a,35a8b8f1,20503992,20568f9a,c5d0d90d,4a5d1d3c,b9a7c2ea,a17561d8,8d40e61a),
+S(658dd6fa,63d1df2d,c9d4045f,c9726e55,2eef2721,90c3c437,29f4a01e,4b775b43,442b482,b77df6c,727f58fb,51331d0c,7604f8c,3da01b77,40f71ba2,f6219bde),
+S(57441b8a,6787c3d9,b87b58dc,a66da1e5,32a8e8a,267f8961,fd1fbe3,3859fae0,fb065a85,9675effd,307fba28,226f1276,95f6ee27,389b6959,ea9ef704,ac460e9),
+S(432449e2,51582cb8,ac8d232b,901d4796,63198f92,43c1ac42,f66aadfc,a79ece53,d5496156,87c64c16,c2bbf07d,c94e754d,af680ea9,47beb11c,94394c11,a27454af),
+S(90db95a2,b17842d5,37c4aeb,42aba933,be6a9cc2,fb23b9,457e35,c2e6a77c,8e10ba44,21a6d262,a4129852,d6f1eab7,2e885bc7,1ccc8b5e,9023e504,2bd751ff),
+S(9a7c6aca,93149860,cf4bdb29,fc8dfc1b,84d30bfa,13728f67,ef3bc6b8,1492fdd8,48beecaf,c66ab57f,9e5aa39e,76887725,3ca4a8a9,b464df58,3d86e8a8,f8b126ed),
+S(926c02c8,cc70f343,9522fc18,29308f6a,3a1d513b,f632d3a4,cc56f7fd,259de58,229378b2,6e0f48b,de2b0bd9,8364599a,bbd011b9,918e1e55,cd7a0bae,a8cccf2f),
+S(264bd086,5bd54674,11b22adc,f02653fb,d483fdac,1682a210,54aa810,9c9cfbb1,75032c4f,a101f117,a042bfbd,5b0fcd3a,3991875a,d3444ca8,5688e3d2,1d2df64d),
+S(a2ef67f6,ffacb94b,9f28432,f27bf1b5,ced82580,8c46465a,69e57f01,c070bc1d,2ea53f94,5c1227c7,5eab61e9,a508cbd8,7730d9ae,73831322,80eb90ee,609130e7),
+S(940733b7,46fa83a5,4acddd6a,76ed1e31,80daf833,7e014783,93641ce0,3c9a3657,c5a9ddcf,b2202a32,34f736fc,996cb301,9bfea0b0,21988946,8112f5e4,7abe6a11),
+S(95e6b0a,eb191afb,10eb0ce8,bcc7c14f,5990a9c,c63da64c,c7bce7ae,1a0d9b48,80698f50,f7ac67c5,4d55911b,cc88d764,83df654e,9873c039,d854d7ae,14a92980),
+S(edf7e7dd,e79ad130,1b7c8d7f,ad000004,298a799c,7d08cd94,38b0fecb,cbf5df2c,ae1c98c4,1a7b068,57786d39,169ebf92,ecd60d85,795fe484,707970b5,e7c33fad),
+S(f6f75f2b,c0fe2cb7,8be2ef4d,e728e06b,e17f6350,4267de70,1a9dea54,736b804f,11d046f4,efbfef4e,9029f632,e1603dc1,196b710a,32173f07,94dad87c,f8095c84),
+S(185ae081,d470ff62,7e73bbdd,3a7fc5d1,df1eb46,733fda26,8e4001ec,fd7b7b94,cf57835c,3a69e46a,5a58ec1a,2c0ff80f,4d8020c4,eef5e1d6,dca1e260,4b2e22de),
+S(a93647b6,1342281a,7fa5a92a,48c3379c,4e8fd29d,2113c07a,792e1d75,ec4abde4,b2260a18,e6a05f66,998c3aec,201ea4c1,545ccc98,606d35df,cd671d7e,5b53fc9c),
+S(27028628,171d1083,7d713e7,8011a818,81125514,dab8eaf6,846595c,d99cb5e7,99b0fa18,eccaa210,29e5437e,6d561f2c,a5174f49,42ea2f3,b640ceb1,50ceb025),
+S(d560c4ed,f442947e,5a99d3,f2f8e519,b61f5243,322aa725,a3a68249,50318281,f403247b,70998349,d5eb3d38,1041616a,ad8697c,6a06643f,8d3b786e,707f12de),
+S(b54c07da,a18196e8,33173c51,68d5cf7a,1cde555c,80621501,bfae82bd,2043406e,ee83b25e,300e532c,b09ed563,5b1e1a80,48fcea5c,5b41ed38,97cd2c32,8846b3a7),
+S(5e43b2c2,8365005a,fb52b971,ac372448,22ed45b0,9cb6d829,f18fa481,91a5780c,6b3d5dd,951ff60e,4533f783,aab0276f,aab00898,4a4899f4,a31a00fa,a34bc760),
+S(3a62aa88,99bf76bc,a23b39dc,d6008d4f,a57e9b1e,3bb69a90,88b77407,49b3ce9e,d83de010,f65c8320,810f7079,8de4f3c9,6e293792,841e7178,d894ff76,135c0951),
+S(69ccd9df,9cfe0990,440ff050,7a35ac47,6a0ba786,56c775e2,7677bf59,e5c37594,73a97d37,48f1c24b,6d5c814a,a5829f0c,8589212f,485ffe5d,d86d9868,14bb537a),
+S(9b2e9201,51d8b063,95823db7,83e33a7e,e35c092d,265eb440,bcd0a6f9,c9f89c5c,ab125c05,dd565f17,93033058,cc0a0ad1,f6b32ad2,90d129e1,6032c781,ffc2e331),
+S(9af6ad84,535f84d9,4d80a592,943c83f8,76360fd4,787ea16,c6f6df4c,b9d92eff,a443e538,895046c2,9cb80270,7777ef63,ee18acb0,fa028a16,d7be8bfa,c0b4e5d0),
+S(e7fc44df,cf4eda5e,c982a8a3,1a72d69b,b2b39f83,3dc4e621,bb002fde,2277f4b1,64fa8e8c,f2194013,8caccbe9,8808a47b,bda56376,d9b02ce3,33e36558,365637b4),
+S(c820365a,3c6cbff7,273c80b3,f7ae7278,f6f4e282,dca68586,1fd23693,a0dbeaf,adac7864,cca90280,13bb3a68,c3d235d0,dfb3b99f,749b9203,9b03068f,f229310c),
+S(3f97b6b9,235afad6,a4cf1eb3,dd3be029,7d67625,ec18972d,62ae4b2,a1b0de3c,a652fa0c,7fc89c54,e11df8e9,7650fae1,7cd51674,dc44be18,26e70b90,12089f2c),
+S(74f315a4,d12dba88,1ef5b14,14bea596,ec386f5d,5f6e1dd2,f5e777b,c8c3370f,fc994b03,bd5a0461,9ce52114,4915b7e4,f9380a77,8a15407c,9b8a96d9,e7999c0f),
+S(db546b02,795e2435,e8e6ede,3a45fc8a,1cbf311f,d0d9784d,dcd956d4,79d37b40,f16a6c,ab9dfb8f,1374440,86f1e513,79e54030,db4153b2,d2c06602,302ca383),
+S(e1ce9f95,c8764028,b707f2bb,ef2b4d0c,88adeb47,f0469924,e2659195,6a53183d,358014fd,987f41cc,8f31856d,25a509f9,d406a68e,82a68fdf,1e1d4afb,99de59d7),
+S(38f1e3,e35f77d,76cd5847,9b9b2c92,e90bbb3,d8793cec,509b29cc,c0fe13ed,faaa8e0a,a9a943a2,a5bf0e7f,a2a95079,ead33f72,8e1a3547,e55c6d63,3e908264),
+S(143da00,da92138a,609b62da,8e90c19a,44b89be6,3372913,fc8cda65,44740ed7,2d042699,25782d78,8f6d8f4e,7dc63ca,570fb79c,ac2e5691,65a8df5b,38089686),
+S(93819e60,23aa61d3,f015f747,d74ff5ce,d3437f2d,9c25d9a4,dd5ee0d,e4bb413b,3496f668,113975c2,4cee563d,5a5fe406,5e68b1d9,afc95e8e,2ebc949b,5779955e),
+S(247bdc8f,abbe756b,a35c9f77,2c00836a,51cd8c5a,d2182e56,81f4f79b,2c0fbfd4,39dee166,712fab57,95edba10,8ac84b0,3ac90b43,7e22290f,91f0899,7ac3233),
+S(282c681a,c67c8ec0,7c399e8e,a3198c41,a7993d37,b9bc4042,b0226d45,353034ad,8d5fcf2a,d66a9266,788d77f5,5fe4830c,6025c26f,e9468d95,3271d2a5,61634ba0),
+S(e0e0229c,b260bfc1,a5979371,5bc7d226,eb9a8989,89edb9cc,5012a2d6,c05657f9,5321fb39,ca241eb2,94c69885,502d8d25,b85e414e,f540b713,e9fdbdde,ec0f50b1),
+S(b8e62275,85d52f64,88a76515,e8c62894,7b9b01fa,1a7bcbea,9124dae7,b8a05447,84a564db,e14aa687,4cabdb11,7ccc7e20,706a7a54,c4c23689,4660ea5b,6d0a189),
+S(77f3be41,2e08ecdb,b8443431,8e71c69,e6613ec9,bb2ec577,40cf944a,a3e12abe,39b45913,a90e014f,ffae3a15,a3bf44b8,7ac121b9,fadacbe7,19af320b,b9d35124),
+S(350833c6,8ceebf3f,b0e5d4a1,749838f8,c60a673b,a7015eac,dd1050f8,eef646c8,ae37f219,cae837b0,bdfd2899,2625868f,3906564a,70ee0b90,92f2b24a,a2631de1),
+S(2ee6a70,4c8083c5,3f88dc2a,aa39258f,2833d3f3,600b1a4f,61101e44,bed8d5f,589a8a8a,d8e32dd1,c7e54ad,d2b6952d,62017da2,5e68dda6,aedc696c,77b4dfa6),
+S(156af2de,75e81831,2e6eabff,ffb82dc8,b5fc207,4fdd6341,b98597da,b22a6473,dfd13542,36d0407a,e0659ccc,b7eaa304,10bb4afe,4afb4221,4e70909,15d4fb18),
+S(396d53f,5a488086,9be37006,e07a4638,496ad4cc,80c7554e,3f4b4939,5ba18d38,a7a6d320,39f05345,f41e2792,77bcefbe,10983280,f56c17bb,943c253d,7c094b0c),
+S(15407e62,684b2d9e,4a8f08b2,31010bc,fe42c9e5,f85378f8,904e649,a759c7c0,54ab28eb,1b91562,ad8551f,47f41c96,2516fac3,3af933a0,75c757cc,e381d3dd),
+S(80fbd75b,1538f0bb,96f29ebb,3c50682f,de0cd2e,e9615f1a,4b8c1b76,3b2090fa,cc3613a6,8608dc75,97870658,3d478a33,21c3677f,516cf6f0,6fdfc253,3bc0946a),
+S(c795f08f,f5458042,f6268079,36fdf08,bda3ab0e,5281fc3c,447df53f,25aecc93,1524dee6,b98b74b6,616509cb,77a2a5da,2871b1cc,78a7b217,3185c187,223b88e5),
+S(1c39286d,1aca3eb8,36bd90d4,e46ade42,ba8c0b1e,43523499,ab151e3d,7b331e6b,4f81e790,e66df7af,b4725dac,b506bb73,4c299afd,21dbbfb0,a60055c7,ebf119fb),
+S(e778e362,f5f67d32,73c861ab,3cbafbc9,eb03f7c5,e862b5a9,2b7a51fe,26daee5c,1035cc76,9df9e120,7a71a13d,37693edc,19fd6ee9,33fae651,a145cc60,37ccc1dc),
+S(d71b5cc5,56ba74aa,a0ab5775,cf0acdee,54e5c48e,5cb08734,6e510e1b,18f9a914,f3c3419e,84b4cf22,31975aac,e31b9b36,9aeb4a3e,e2b2bc6f,feffc3fb,538e8e5),
+S(819e3ba3,6f5b1011,64f3e798,764e01af,5838ecd,e6141690,971e562d,a99d0520,da38a00a,838d85cc,f606c440,b941f128,a66b0216,544008b7,a4904094,7d7557c),
+S(3c726a07,740912b5,560bca0f,f8d827fc,a9f2b1f7,1596f922,218a95e5,db2c7048,b9e52f48,ee2d0944,3c5c5776,eef02a78,47cdf47c,b83316b2,220fbf00,4b3d72a5),
+S(e2b550e7,189f0fcf,a897fe12,245d6912,e6743828,b0ab0d78,9faf3865,d90d1d1,11dbf946,3cefe572,f45a5288,55c2a257,43dbd70c,3db6d012,34821a0b,35ffb115),
+S(4cd65ffc,23acbe0d,59471667,44ca1194,f52dfee9,ba532725,508eff79,61130fe9,9af3c41,97fa257d,79fcbe93,145fefb7,96bfb0a0,3914ade3,c1127b41,9e321a28),
+S(6fc537e5,4f7bf705,bc4a7a1e,a7cd365e,ec36f190,dd4fc7c1,ec8f5f3c,8dc63c21,d06a12b9,ccf770cc,f8504b97,ae68c61b,1872d500,54db9cfd,76a55c29,58eeff4f),
+S(33bdc335,cd76ec99,db66b3f4,d90ad5a7,924f343d,836edcbd,847350a2,10366223,2761ca74,ae8bd215,b74fd37d,9d6527c2,c10406db,fc5932e9,d408c2e0,ef554987),
+S(a4ac1b95,e9a8ce4d,da11a1b5,c21401b8,b92d9bc5,f7bbcfda,3b1940cb,cc331dd7,8f630ccf,30f68759,174b4052,8082050,599c29b2,4922c1fc,e4a5952,61c2e239),
+S(6f34af2c,86f06702,4f720e5f,89d45fae,f44a8976,2b0bb390,e9a7ee72,fdf07842,785c4f09,d127954d,d6e6dff7,e342bd1f,5540448f,ca390d72,485b2967,b6ef1825),
+S(37ef099,8571efbe,bbfc5350,43d0fcf5,758d78cc,3ebf247a,cc7b4f59,480aae80,29a3b2eb,fc41f793,66bbee1a,cc6fffba,76d37631,f10136ea,4a47a18a,d9263c78),
+S(3d815c75,6c6d730c,b3d7ca6,de486159,f0035011,851211c8,25bd59f3,624b9056,56e109c3,e6ad3198,48b2e00d,1168806a,f0a22c93,81d8a243,53850c4c,1c486cc1),
+S(d3143ac9,845ed52e,961b9fca,faecd1a,ec6e8554,c90357e,ba2317c0,c832730a,f4276188,6db140b,4d9b8b96,1e6555ea,a80dfebc,8d37ddb3,a21e284f,50b1dc73),
+S(5b0066c9,221d1b8a,3bf660d3,ef28c3a6,8c611dcf,943824bd,ba4f2a8f,836b03c1,86a24204,f40de381,21be77db,a23a6e3f,5c8ea5eb,7138d218,45d8003,cc8460d8),
+S(62461176,e6bc9c4c,77f8636c,3ffcdf24,45ff5c98,935e4b76,1c4e50fe,c00b606d,5431f12e,488bcede,ac9822e9,5797c2c4,5a49167f,6989a6cb,601ed3c2,860c28a3),
+S(8efe7f7f,482ab457,4a7e56b7,77a7b5ff,dad6e208,2261b9d6,bfd6c647,c88a757e,ef5e2083,ceaebbb8,aeafa383,d188f30c,7350f484,eec83262,8d9fbabc,522b072f),
+S(4dd8e450,5ccb49bc,2ffacdeb,53bad1e0,362df309,5756505b,33eceb64,34ebe715,9f801ac4,243d720c,eab5def4,7a7e6d6e,a051d3b9,783a2b80,aacf087b,b575b58a),
+S(3a345a97,85c7db9c,b5661c97,3c739949,c48253c7,bc36ee32,d4d74878,3b0cb734,4bb7a957,d4c8a2c8,e1229e1c,d29af780,ba844bdd,a0251134,5da7fd4d,30223818),
+S(d76335f,3e14a6d8,b8d6a87c,7f8d96bf,ee171c24,276feddc,a52f17ec,74cd3ed6,dc2d6c21,590edeb3,a9014b24,fb8a6ffe,e99c0f0b,d8fad1b5,2175f647,d5be53ba),
+S(25fb12e6,2e05fa71,57badcc2,ed5c53a0,89a55b1f,4f5b508,f89fee83,b309727d,c73cc2fc,4021d267,7821ac82,f5803218,d4ebb736,6fb22f98,62a98f9d,6e597928),
+S(6ec69e2,970df6a6,52e50e1c,2682e39,66e60120,6ac7fd61,12dd1446,47a11783,e9d08d09,1148b329,6a8c7b7,f9e4588,8fdb1179,72e08c56,41908b1d,127b7a87),
+S(f72d2f36,35701d5a,a19309f0,12d8c5a3,7ae0784f,699a200a,bca89cad,57b08db6,5081bc4b,16c53997,46f2a35d,e7d59b53,8956b57b,865a99dc,e8bd86b0,259888c8),
+S(945fab90,e970531b,766f939a,8c1a5cc3,c43a5c7d,45b96983,ade1d042,13d2e46,d76f827c,1eb775ec,7d5946cc,aab05b62,97173b32,54407669,4bf194c7,c84e612b),
+S(fc60b8e4,129df265,9c335842,a099edd6,182acfa5,b74110e7,7880281c,4f582b77,69cc15a6,11c54e60,72db1bc9,9af6d289,f647aa85,95006a83,8b3a91a9,da33557b),
+S(a4e41222,f9643671,390a7213,e6d0f5c4,9722d41a,9d0102fd,818f4aa1,6e03f5ec,c1636af0,55a67855,fc6a1827,c9e3e463,88922c7,c769357b,4f4fc4b5,3af2307c),
+S(b1749fc4,8c935c8f,f2dbb7a7,2a69524c,83a7d551,88b48ef2,30f0306,a156a002,43efe91d,ee498afb,4f47a4d6,51ce132f,fe1fe875,da143682,c56d936b,dd7dd80f),
+S(407b881,6141cf62,b8c87b3c,439290f5,6be1c590,41c847f1,f127c8c,c4b913e0,c3c90c06,afc5bbdd,7c699eca,5ae24594,69735dd9,71bd6b0,e48db6bd,6b77bd8c),
+S(b0054fcb,94060a29,f983b713,79ec998e,34e39d5b,c5e0c271,ef48ac4a,e12b3a18,e2b89e84,5aa2f8cd,8ff2d240,72c0491a,81be7ad6,1e8166e5,6619e928,7d37c2fa),
+S(4c202cef,fd6b69f2,33efb265,77e327a6,b47e722b,1b8b6477,2372f4fe,7559e5a,1a04446b,e69535eb,3f10d334,38049fbe,e0374b53,54f2f46b,5cc1de16,59c3e726),
+S(451ea6f7,c1e9992e,b50c5ee2,90784052,a9974a8a,101da027,753575d5,1f306ef6,ec8cca1e,a21e21b2,cd0fb48e,dd14609f,733b32e5,42cd1c,a1ef2acc,6396cb81),
+S(1ae254d6,686a8a2f,135fd775,16de17da,5175a82,aa8599ce,45b1660c,b5f65d78,a2595603,71a24698,626cfd82,7efe6d46,d8c4e31e,1765ca1c,e01ef584,4a5780a8),
+S(d358e246,514e986,b0b8a192,53e07db5,5a635c01,85d7f39c,666064ca,cff640ac,d4b34eb9,30620b9f,eb1f94ab,8f88f3c8,8d8a9a5f,4ff35528,df0266f7,d4481c2),
+S(fd4af649,5415092b,e61abb8b,ea2827e,3e833f5b,4653a1fe,7e9886bb,ae454b54,9743ed9d,d30ef4ef,31ff9df4,e5d10272,1e5c7609,b539630b,ab555559,88b56965),
+S(4286c7fb,d1b785d5,a778f72e,2574bbc4,2912abdd,ebd9f6ba,15bc6c23,c7700cd8,3b0c1d36,2f62cf4d,f5dfdd78,1414fe1a,64a5526,cd36cbed,8e41c740,56525e71),
+S(2262acdb,7dce598,ec0b2419,2d761dad,8b413bb2,58444c1c,bebd1693,a1ed597d,c6bde565,87f6e506,4882d86a,6eaf0314,20107b26,9b57dce,e9ba48f4,d9a220ca),
+S(b8eba19b,a6057f98,519c319b,cd3566db,8a4a53c2,f3d825fd,9646dae7,13fe7b5c,7bc344ca,fff215eb,cc8f42f6,6b711406,7a00e881,f7e40ae7,253fbba3,bfab8273),
+S(d49b8d30,2d8a1c2,ea6e8302,33ec1fe,371cf035,57c2c45f,d0148df3,1a43b11f,6f1052e1,18fd6180,1694b106,8e1d8cea,f72b3e68,ba84d0e8,ad945fb5,156dba1c),
+S(56db7750,350da2a5,c6a73239,13f987de,9b4ba04c,9f0c0fa4,67d53abe,129116a3,e4dc5c13,9b72462c,bc5b5200,68d27c73,9599b40,d17c8581,1caa69fe,3a429fa3),
+S(1c987244,7d133050,8368960e,7f63a52c,ae56a840,cd19a359,d8e94720,b3f4d54e,9d8d1dab,8efaf90e,f2bbee51,b0e9d369,abc06979,48bdc1d6,efd1c18b,26dd0ec4),
+S(e9bfca61,b09d2298,3f1657f1,f303e0ed,f9650830,c3151ccc,eb7cce77,7865568b,6c06c996,48a3a164,a57dadbb,304d9d29,75906d64,89e42292,63d4a86f,b4a82642),
+S(52f86eba,9c3ed139,83704865,ad0ec3bb,e54dd2b5,5841fe8b,826da573,213dac7b,59bccd99,a53fb65f,1df73e8f,eb8f4734,67f1d4b2,715745e8,693589b8,d1f24d9c),
+S(ac02234a,412dff76,e01f6ff4,a3bab5b5,ff3339a0,4ff3fc70,eac1bdd,f0eb88f3,768d7219,782584c8,e16818a9,f8ce5aa8,18228c2,21a7dfa1,6e9da56a,61227843),
+S(c2e5044,2dc773a4,d0c3d1de,d9883be,dcc01c32,c83b2a51,3e946212,8551336c,30063e65,133d1c40,607c2cb1,50f680ac,43195e5a,8ab68add,5ace3977,4242b689),
+S(fa02cdca,e19fc987,a7c43acc,77328914,741ac5a0,e150e9bb,cc6aa0ed,9c16287d,ad7e7b78,f566a226,99e27510,2a03ddbb,de7a5e57,58fa52a7,f198dedd,7f27f72b),
+S(805110bb,99a2b8ce,a8dfa8fb,e4bfa353,ece63c67,22adb161,9c696d2c,5aa66939,aa0e9a9,df1a2a11,72fbdd30,6ec86d84,e04ec973,79e16505,5273bbda,4fae3c8e),
+S(6472c6a5,55be3145,476b3cbc,9f1d5459,be137d1c,c4cf7a11,6d28a722,f1b8960c,d28a0da4,2cc3ce06,fa16e4e4,dab04b2b,eb74d8b7,8b09632,1d02ab86,b92b0afe),
+S(a659d5db,dbb45d5c,af7a9893,7f82e6c,c37646f0,34411e20,e361d595,28c4fdd4,d064e26d,ac724089,90947031,27256e35,745ca0c9,696da250,adf2df91,1a3a05a3),
+S(882a7c39,56bb7ba3,f3d20df7,d0645bd,b13db6e6,2ba58f31,82ce4efe,2a0846dc,627c82c8,82437a35,1ebc003a,4035af13,63de299a,52924337,a4162a0f,c5bb17b8),
+S(5556c236,9f7c003,d5fd2451,8c4be1d0,9b11b2e1,8961522,68e5cdcf,a6282db8,384b8cbf,13d9adbb,7a2fce16,38b71729,aa70d754,37dd7427,8cf98135,bcb0f1ae),
+S(f268a877,472c9305,e3c2b193,303c29b0,a6fd2ff0,fb1563eb,ec5d39c0,def431b4,5dd08bbf,c1b8cead,9b45f164,e6323f7,c1bf0b33,bd9ad8e5,c553dfa4,cb42a634),
+S(fe3438ef,5cdb0229,2c5d392a,387c38bf,87e453e0,596c5546,aa27940c,7686a90c,5b3baa2f,76647870,95c3453,64f59327,415d6aae,9fce79d5,85222afe,8304b998),
+S(51216a9e,54a94c50,f2c2ba07,9548a51c,8345dcf3,b38a7e70,1a3de47c,9d5422fb,1046f888,360c5de2,95d63e16,93463bda,e3714f16,46f74ab7,3b6d68b0,15df71ab),
+S(326d2470,700341,9ba6438a,b7ba4498,957e919f,f748590a,130857f6,d46386aa,7e31c242,cc2f3ea7,d5579be1,8e216b8d,9f69e360,c03af079,636bc03d,2090b770),
+S(cd5abed8,a071a8c2,4d379611,4d81f490,5e644884,82b2e2b8,3eefbd92,a98947b1,f3d6560f,e10eacaa,9a30cde4,ab852b49,3ef0add2,f6d83db3,5d12b0b6,705292f1),
+S(4482b5fa,c39560b7,7550b621,238fd8a9,5252e8f6,25fdc8c8,42382845,8d2e27fa,c1d246d2,145041cb,ef8d3fc3,8b5a1237,fe400256,e4d2588c,ee320733,f6884933),
+S(1eb303,74179ee6,76a977a8,76ce0ef9,71ca88b6,615f3729,cab3cefc,6080caa4,a9293fd4,a0a156d5,f8f735cd,a60b9ef2,bc6004b9,efcd12f3,a0f5c16b,5524e421),
+S(542685da,a08f407,71cc90b8,bce723cf,d2f6e616,133adcef,7908fbb0,ea29a4e9,df4076d8,44a4d3a1,10126bfa,344fb3a7,79f7455a,a9abc99b,7429eeaa,989b5d44),
+S(bf631fa4,5277594b,c425882a,85a361c6,d62c50e,aac20ba7,ebaa596d,d6801a54,69995b4d,f20f336f,44681ef6,6a65b54f,88d43953,6458ee9c,f7657389,94e53bf1),
+S(27be809c,5bb70530,ee629628,18a4ea73,540f1e6e,75990926,3269a205,604e7b53,a5bf709a,caba50ab,ad939c56,1abbd0b3,fdafaded,3b82d9af,964727dc,bcba7b3b),
+S(40126263,3f3af376,4bdd2a6a,c1c6adb6,fee285fe,1171a29e,af4d71c2,5f03b849,2ffbed36,47815c25,5d5bf7d0,a7f09dfa,8eaf79aa,df9e95ae,57024960,ec98fe8c),
+S(a634b11,bf441eff,6ae8eee6,dedba52,6377cb96,e3c36a7b,4ebf02de,42146298,57c555ad,85f0e194,2f9701e9,1227e0f7,42763296,2d0702d9,e81e025c,c411d379),
+S(d6130997,fa2259f5,bac49b16,38d224ed,f30786ab,c7321e10,d593b932,27745905,ed5a448b,c2157699,b436efe,6725f8b2,8df8282f,1a588692,41ca7db9,6c66821d),
+S(4a313361,bed4a94f,b7d9f1de,a1feaa4d,3d957379,cc24d880,92dc29df,5c503d72,2e4e6930,b8e33e50,d166f862,a4f73520,63470e27,f9d9a3ec,3382d252,e42ee20e),
+S(6be34d7b,5aff85f0,e731e6bf,285b2f79,eb241c67,df9aa3aa,c2574e5a,d8b146e6,a9ab3f20,dabd0073,5935255,925676f5,799d14d7,75c896c0,de451057,f0112f5),
+S(2e42de88,38560214,228691ae,26a0a26d,fd96cee7,9416439a,e771891,3499898,6ff846c2,72393037,a2d0b2c,da38539f,f8d3a6ae,175fb604,55afab50,8454a419),
+S(d65d003a,c979da6d,9e4b077,3ee965a2,f33e512c,5c20a9e7,456fd3d9,fb5b0b6b,fcf12ef7,6fd89385,5ade4bc9,4984d7bc,63406649,d4525f1f,3c9f35a2,6b357f0b),
+S(f58d02ec,d136eef,67ec91a2,6fc5097b,74c01db1,911c2685,4941f56c,af6b10b8,14169b8f,aa3a5512,55d3eb4d,25ece18f,d802606d,f1259504,64f79587,518561fa),
+S(fd13b1c,d189e832,e3c06cf0,6277474c,3e388979,e0a7e925,1799dc9,a9713b9f,a2838fe5,4a07d539,5392dee5,dc2269c5,9fbb222a,8541f3c0,7fb28cd8,1ac2283f),
+S(bdfc6941,424ba1ec,88ecff53,c8da31d1,ee6ac442,c8a1e58f,5171f4fe,b808d41f,a0533200,4e7582cd,a824600c,20864fa9,b8286c7f,2107ff82,9b5c964c,dc4a3531),
+S(a390ea29,4096bf15,e953986b,86893c37,e2cd18b3,5a0df983,5be6ba2f,8a5769c3,1b432110,1c37b5b3,147029f7,aec437ab,cbe82b5b,559e9446,a2cd4067,9a9b5b9b),
+S(40a61a44,a356f623,968e386e,319bee22,574f2f41,f558cc5c,f8a9b6e2,93db0ea0,745b1083,a9e9e080,365f95ab,31db5c6e,9e38c2f9,62bc4e8e,6a879768,f21998fd),
+S(2ab87f5e,83538093,e99e09e,468a0056,5db6e308,2bb072bf,b7f5522a,24977f87,49a22c4d,790450fd,f31f8199,1084676e,7cdafbbb,5656e2d4,bd03621,bf50cf68),
+S(656e91bb,156468b,821fc9dd,14c3ee76,ea8016c8,92133d2f,189820a5,81a964c,d8d153b6,870c6ce7,a4db4eb9,bc1f75bf,22f6c3ff,74865118,fabfd336,c7ad73),
+S(d2c9e2ed,7cf8c21d,8c078e70,73c8ea8c,88e7169c,abea0a44,5c6c339f,82eca7d2,2db2942f,ee70cb15,56fe1d30,d5bc94a2,3d748e0a,7ce8735f,876e9931,90552a5b),
+S(a5301947,cc6e0053,7cbd19ad,db91d854,67ab1bac,1a5e9862,bf46ebe9,a2d14710,c36d3b1,d62195a6,18f5bc12,61680ea8,1000f37,86f3ad28,3f516d16,f45e7cb2),
+S(1f61d637,80113793,5cbe0dc5,34042617,932efc37,c3a95ea3,57575ca8,7280269d,24dd91ab,4adfa0ed,9369d30b,70a25b1e,df9b4383,37d83464,7fe064c9,e2ba5de4),
+S(14efe93,49750c63,81d61000,4b80c733,204afe5d,223ef3b1,e45bcb6b,177c633,d8e284f0,ee2f4826,9c958271,3caf5364,6361294c,a0aacdd,a9aef70e,8fed2bfc)},
+{S(782d5c9a,d970322e,deff2e7b,57844184,c589a4da,c042fcf3,86c1a9f8,26c1babb,27bba565,405cb392,64762d97,cbaff552,1bc38b20,56afe313,556542d3,f200eb06),
+S(1c000fe,9372bdc3,68d4d6df,832c0396,3701cefa,bee1cdc,3965e183,3476f636,1792668,89cb19bf,39633363,98df43b2,9d2eb378,a9a30531,9d33ec1d,a571eeb8),
+S(17688e97,d3dd0dff,1f43ced0,af969ed6,d0b53f3b,22c1f1dd,240f4bbb,253770c4,bdab9644,b7047941,f42ce962,4800d25f,54dd194c,6fc74eeb,2e1e9779,3e4890f1),
+S(c9e92b0d,e85dde86,8eac6f6d,1eef4b4a,8b25974e,7b77cb,fc210530,b595cdb4,5aa94a9a,7210e6e2,e04dda5c,8250c8af,16bd5081,f2102f6e,a9d09265,8b4c4ac8),
+S(c9efbd02,5f6aaad,e30ec696,e5e6739f,ec6e89dd,9bec22ca,cb2a9142,d7bdd284,f32f9e4e,dbaa0a73,135fc5d7,7d2cdcc5,80c357c3,144bfa1f,e05e70e1,c8888744),
+S(25cf39cc,ceff3fac,e9ae5cb,e6e6db7a,586f1fb1,8b3c444e,28cb2d19,ba08ef4e,d3b55fe5,3f11624f,f6c25252,4928226d,a82128f2,4649c140,24fb1f17,c9ba9742),
+S(262a25d,36253456,cabab430,5be8500b,e2fcf871,1c580d9a,a76202fe,9e97eb39,873e797,bf2adf55,dbb3b0a5,a2480c30,1395cc6e,477f39d3,520e1a1a,6e61440d),
+S(3041bc09,6dbe8a9c,9e436f15,bd88954d,b2e1586,5de92c9e,8f8df7f6,456665cc,f17d1d17,e406001e,1aae6cb1,ce4c8889,4a502e40,1a0f7f04,3f8daf4b,a4ed4345),
+S(d0fcb1f3,8d32d3c1,5a0d984c,f9eec4de,22e0f400,b93c0343,337f98c1,db2afa4d,de5133d3,f7920fb1,4d34b28e,5058d81e,e9e312a7,17590c98,aa242e98,92f8356d),
+S(65f5da86,cd13e857,f41a7016,9e62e05c,628506ef,d1739ea7,5308b75f,510f247c,5e52e176,38b22cfd,8f1f800b,edcf0af2,1efce458,e179da1a,d046e0f9,5afad4b7),
+S(a4ae6a21,f07f51e9,cf635714,e0cd35d1,d31fe32f,22d29ffd,16af4bf4,65c859df,41a69d4c,ff1abc12,8831efe6,e410a22d,80790640,5f319692,46fc3bd5,2589c094),
+S(d92d5f09,79a47bb2,e995693a,e005c266,54d6260b,85f41806,89407c47,69b2c5fd,1ab29589,87b2e4be,6ed6eaa,fc47a9e7,49349e9d,1eb438c5,735dfb9e,d77f2e8e),
+S(f0f136b0,787e1c0a,e43e3c34,66d77cc3,64282ca3,4b686a23,eb30622e,c50644b6,1fe70372,b3047ab5,242190cc,6fbc18a6,4dc0797,d51b2ace,1eb208cd,30625ebd),
+S(52cf110,c8a81a1a,f6ecba15,7b6e2748,9fade773,20b22880,ac023ebb,3ba95119,eeb4e114,2762e0d3,42ed393b,c3b01a2b,e7534b34,c7466f91,224519f6,762da31c),
+S(dc1f1041,76019cb9,e5ba446,f1601edc,77ff662d,e69a560e,2795243f,e3635bd8,29fff9f1,d8aedf11,5f518298,4b82186c,1c2b8e9c,8d80bf5d,c0a8b0e,9598700c),
+S(dac7cde7,dab3d68d,cdecaf9,3b4a1985,ba099d97,eefb84c1,efd5b103,1559bd5a,53940d9e,785b017f,9142dfb4,4157c250,7a8543e2,c52150ee,8ec1910e,caaa36e9),
+S(42500318,5ca69e1b,c4413ba8,ed3949c0,bc39ee8d,10b543d,c4035f57,7f46abca,5c187b2c,936e589f,66ecdee7,dbafbd48,b184a1ba,4ee9bf01,f70327f8,7b80f384),
+S(1a8728b1,3cf2ef6b,d122df7f,ae11873a,fdc4aaa5,46981212,616f7a35,73fb94bb,3c6e1732,320fa8fb,7bc908a1,93204afa,aa22e138,571bcf1b,b0b31285,2cb76d21),
+S(9963b507,f4fdba39,1312782d,35446a4f,a1247315,29a1894e,cfa86138,22206031,1b7feefe,36616571,f904d548,4673322f,4e867016,b60527a0,f0e4ffe5,97b7021d),
+S(5f98a8b,93016cee,48a8bac0,6553c0c9,c3f0af5c,4ff969db,237f5669,ae7c4f12,ef144971,69e32124,d0ce4525,c2ad7857,43a62914,ac21c954,a1f0f6c2,4cc2d091),
+S(ff4d4fee,875ebc10,fa6db1ab,19941a6f,b934ef14,6b2f7299,cb7ccd74,5c6be029,10b3dcdb,2a753aa7,e2464ce0,b021eabc,3643134b,9acb6f55,955dc471,8a5bf46c),
+S(ff159279,11c229ac,f5f0aa9c,67cb98e6,309d16c4,94a95808,91bdc404,e2a1636d,5ae15340,a7e94020,108e0a07,3e775a92,a7eda92c,ceb6af56,cc91ace,e8991e1f),
+S(652bcc4e,a1c2f450,10273043,2cdbf01,3e07aa76,7f5d8d00,a48ff9c0,b97d73f3,de96c171,173cfa8e,66174a45,e8899d12,f5ff50e9,481f6310,8293075d,cf5d524b),
+S(8d33a9db,ca44ca87,634d52ab,c325f892,14330c84,d6adf84a,3a2e5ab6,ace8089c,6ac0fb1e,2324dfdf,546dfb42,37a523b4,1d8dd5a,81a6c398,2ff14f6b,c68348e0),
+S(b7356428,d0f718a5,a999a4b0,cd55332,b812920b,26b5c5a,babf1afb,3c1ef230,60a1a61f,17e4a054,921d9187,30807530,3c0c72f9,1ef469da,743c8a55,cc58f62a),
+S(bf32c76c,c733c2dc,85299812,392a2ee6,5b0ce661,93cecfb,ed2ae522,48706aea,961e28d9,a6dfc6e2,3b7a1235,4b9551e5,bd1da617,f8a4d985,467de1dc,bb2b6630),
+S(68760c7e,1b0b625c,bfe9533b,fdc4df7,cd0acd04,de4c4e5,cbbda233,4d2394ad,b0ea6bb0,f9c5c9dc,91af54ae,718c3ff7,5bbce1eb,ef353006,3809ab3a,4432978c),
+S(abfddef,d56b2944,ba1548f6,dae0e65b,40e19431,b6415380,3558d497,7a373aab,ab40ea01,23588781,882e332c,432177b6,15023347,b76dc121,be5a0a71,f55563f1),
+S(73800767,7aa92884,93ace49b,60923a7e,e3adc2de,78c17e28,3ae967f3,72145ad5,fb1552b1,6fa17e4d,1dc2bb35,95b1b1d0,5dc7e48a,ea07fde6,7e6f7c75,f15f5267),
+S(50c0bf3c,6e3666c8,a1a69544,90590b43,996e9a75,77c87e0e,5bb8e927,5caa4ec1,d0f80c96,1b75680f,8264fddd,31b52c28,48a769bb,2976d706,b922b46a,277ecc24),
+S(879e4cb0,47b3138f,1a5cdd5d,9eab5b47,a9a8b542,83fc488c,f82ab22b,7dbf2f47,5f607d08,bccffc0b,27c2f0f8,f8a80476,52fdc19f,eeb62b02,248447ed,d5743bca),
+S(6ebb3735,465dbfcb,32bde807,471e19af,35d5568a,ea6f5286,4a382596,df623bb7,e2801ff0,8e04b574,414d4844,b7b1efe,8741c0f6,4af13080,ef473397,3aa0bdf8),
+S(5997354b,9b77dda,f34a9ef8,649904fb,fc8a0223,1e8cf882,7a8309ab,b209f420,d42f55c9,4d8054ad,7dacca4d,8d7553e5,355db690,1df155,5bd07574,25e9580e),
+S(41e392d0,456f7aca,f62f8c96,37881d25,8b316bfe,7655ab56,61413f43,4e428f87,20481bd5,36bbd86d,96600911,1da82106,2c55ae0e,b2f12d81,a8b8a1f0,4309af91),
+S(5c3514be,60fb6a05,2303b2ff,ccf81ebb,5734ddd9,ff2b485b,429ce68f,3b16ae64,573f787,958b70d6,36565295,b35d9e73,7ee46c3c,d1d1ef0b,e37828bd,eb80e579),
+S(de9e95c1,220bcf2c,cc2acf7e,ceab12b8,239f5531,e2c52949,29e30daa,c340ef7,2e20a50c,94476926,ded26edb,72780f78,81f01cf6,bef5b1dd,5051a27f,abc2b181),
+S(29922283,6619c2d0,402ff634,ee6fe671,b0afb7ca,cdf4d109,cf98814c,af69adac,ad3f5da2,7b1785c0,b958af5c,7e9e7a85,f6c7002b,3000c25b,f7e82207,fa9ee9d1),
+S(82f8b1d4,b50025d,fe960c1c,600eab7,45a25ba0,ee052eae,2f3e56c5,bc236561,97ff7a9a,a3fab00c,54f8bc06,fd59e050,b854f7d0,53dd2df7,1e93d75,60456d29),
+S(4b883553,72c3c528,b8edd509,b8eb2b21,92e8504e,da5087a6,d2a3f9ad,256cbeb6,b0ec67df,a34acd1b,a3a68b3f,79962c17,11c0bfbc,3fbed2f3,345cc097,c221aac3),
+S(53cfaef7,ff6b8bee,f6264a1f,f4b796b1,a5d3d1e8,471504c8,d6ea5d2a,5362644f,35697dde,1730762a,2692fc5b,1db386bd,1749e07d,a67ef310,47deb9ac,394ab691),
+S(c4d4a268,112c2adb,d862b32b,f344af89,4e070db6,2262daf9,244b5c2d,758e1cad,c109c651,2ef251ad,9f9b55b5,10c973e5,dd6b2746,996942ea,7e4de0f7,cd8a18f8),
+S(13d63ba,49b043d8,ce6a21a7,929745df,668a2497,5a57895d,704b4f9e,3bbd0aa2,d52dd90d,6e418aa6,afe2037,80870e15,78ce6dfa,c1a73879,490b57e1,c1f06878),
+S(4499275a,5e03c1d5,2ee69082,9bd53365,6dc44a6e,6584d2a4,3c27ef78,fa3475a3,4f51bc3f,56fac2ad,3bc36d35,b47bfc56,b3885e3a,9c279c86,83762bff,edc952c3),
+S(e526f9ce,24911c8,30311aa,82e8855c,575c9e2c,553f7392,2285fbb6,caee91c3,e56c2c38,28c7432e,20b490e1,3f6c2476,47040253,7b1d851,31690263,a41ced87),
+S(723260d9,c31cf302,acafa19d,ac90ded4,18d5945f,e5fe302e,e7fa8e84,b3fb2449,bf7b11aa,b5603f1c,89a8d6d,ecdbc47c,9bc0d229,937cffb0,8e4bb060,d932f6ff),
+S(5895fa08,76ae7387,41184045,d088aba1,61be9802,33f8820e,7eb1f9fd,dddbf76e,a4dce1e2,d7a60205,197a8458,d566e8e3,720edaa3,bfc4d946,f798e438,ea3b3c65),
+S(c358ae6d,c1565fcb,623c2c2e,a575ad86,388dc893,b9153135,af4e787b,17c64c9,f5a5852e,e3826ec3,e20a0d05,c330338f,f28699e4,ebd749ff,3abfc3de,edb3b97b),
+S(efea41f2,599d5357,5314ec4e,7f36b564,1f31802b,ad030d6b,cdf8ef63,4c1491dc,5dd25fd0,45ee4019,c2d22619,e47da1c8,1c4062e0,d6a9bc4d,fb37c6b6,7b9c52ea),
+S(8e939129,e1547a83,c73900d5,4adb8bdd,79f98d70,3c9c7689,9a7b3f35,8eada2f4,47b19f53,433c6b75,f8f33cfb,3aa91908,b8acc5a6,a69bb533,711cd84f,f497ca86),
+S(e5f3fe2e,ddd45d3c,745baa9,fd812dbc,dad77d5a,aaac44f1,20f92515,53681f79,a450e661,a13cab2d,758eb49f,4e49907c,f9ec8207,bece14e3,e3e80eda,cafcda1b),
+S(727ceca1,f1985b59,e3b1abcf,400972e6,87f83e1,ffe30f64,c853c8f6,35f4a3dd,c451b046,44e83ef9,d078367c,3cb44374,ddada9d1,9416ac28,db60a12c,fc526fe9),
+S(a98a9e68,da05a375,80c0633e,216d76bf,151a7921,32ecb2a1,c114c001,3fc095b8,26aac75d,f680f14b,ac3cc30c,5c14e782,3b7be308,ff8ec2ed,1551737b,2e213c33),
+S(2dc1bed0,a25f6024,3ee2e20b,90158ae7,102b43f2,c781f91,86dc6d8f,768a0ba6,85b6b3d8,509d7c9a,ec12d44e,453456b0,c881212a,3c056d0d,827f5488,f02e581c),
+S(90cd9e84,5fc1e7fd,28f28544,8b9459f4,e22be67f,4caeec44,2c96d77,3f6932bf,63c92e01,1cba5199,3311487,7b208922,1cc6a651,b160a049,cd558e90,3ed560e8),
+S(7ad554e9,61e1084d,8be77d43,e8aad732,5725a9f8,3ba29da5,6ee8e21c,8d6f15b0,9e13367c,d9b38a18,6b8306e8,714cb709,12619c2b,56953ffa,9c538383,c7b36e3f),
+S(e39f4f35,c68f835e,b84acfc5,dd5a9c4a,84263b85,376ee9a7,e72489df,c96fe3e5,3f06c83d,60b5eb27,f6d8ed32,1d38630a,8bf822b0,1eb97f0c,90d2d9ba,c1fe81f1),
+S(e732ec5c,6d2c9f2d,17ce26cf,99151e74,31aa7c07,87a9cbf8,65611936,5458124d,51d3e77,e75c44b5,4576bdfe,36cd28c7,9131d0f4,b1cdc356,dad51aa7,253e077a),
+S(5cfbff88,130d394b,c0ab5ba4,b79ac89f,f78a2c0,fb3f7f35,bb3b8c60,3eef9596,18aca6d9,58e733bc,12ba085b,bef5173a,6990eab2,59bd6d4e,e3cc7c5c,7bb5516e),
+S(69d1998e,3a0be330,a6341161,76adc83b,6d2dc4d1,2b985924,468790b8,25b182c9,5d8435fc,6cb17de7,65b628bd,2609a81c,a4f8d081,337be0d7,89cfd817,583849bb),
+S(4fa189e1,1aa8d445,aaac9fe,b8bb0fc3,a615ef8b,5db97120,b231201e,1622d7a1,ae8130c4,164090da,706a5f21,1bd3389c,8a08418b,36c7b248,a9ce1c7d,7f62a175),
+S(5b8c0419,17905a9b,7f6683a8,ab52261,bdccab65,9d70db3e,daee62bd,a0647a44,ec7c14a7,ce63910d,4ce729cf,e1c30a22,3c74fb05,eac31e8d,876487f0,cce4bcbd),
+S(d8911bb9,9e908660,34a55849,84a7eb49,2f4e2ca1,c1f99d3b,35fe4d58,8813df71,c479c2b3,4d9d5bdc,c82e1f76,c2aff35d,cd71c0a6,fec01808,a0d35ef6,e74631a6),
+S(9691f765,417f4841,22baf14e,c65afb44,8337b915,dc85d449,c6101e07,9ec94981,d3f163e1,a69a968a,223e2ba5,145d0dd4,2a8cf4d,baa6d247,4ac5c965,3cdf7049),
+S(27299a8f,98275592,39b42976,bbc08787,30025475,79c6eaff,4f959156,61a47ca2,cdbb9fc1,bf25ee54,f5524fe9,c5d70a59,3f849ce6,b9ef2b72,c9d85c57,a0f54974),
+S(ba929ab5,abb7da7e,be263049,558e3e68,397811fd,9346890d,ca890f2d,4260a31f,78e7195a,1d6fa4d4,a73d3b25,125b9a70,1346492b,962f3587,7e5b8a40,7b94e610),
+S(5d065bee,93ed86be,f4d96ef1,cb1584a3,7723bca0,1c696602,ad27615b,a0eefe84,592a8fed,16b03476,ca7c695f,3e934da7,c9ae43db,6db95bdc,e313ce85,8d6efabc),
+S(89c311cc,2cddbba,b5d183af,2d6013ac,f3682f24,7c51a9b6,fda419fc,5620678d,a3c6ff3,9bed892f,5fe084fd,18e7ff3c,4facd6ed,38afc3ba,becbf4e1,67e086da),
+S(85d1158b,5ece0b13,97a5d9da,35880f77,fba762cb,58d05c94,ea27a97f,8b84daab,b8cbaf1a,b3f392ab,f70830ad,b7bd69c3,69384f9,4c2f11f1,476ac91d,f171c46c),
+S(9905e022,d0d9504f,f9acab48,49be95e6,f95e1c74,f28a8281,7c6e858a,602f65ec,a1552c6e,19467331,f78f6fae,71de8604,504b11f9,66ca5dd9,8788597d,b52b88a2),
+S(2cb38e47,c18dda23,10852993,6a668f2e,aa5ddd2,b1acbe2e,8d772c00,18a0b513,6ae910bf,62e0d313,fe326bf1,55e44d88,c85c61f1,35862d96,57237a8b,42310ffc),
+S(b98cf874,dc156aeb,f85fe931,af406e75,2e4a7738,bb22db42,5a853949,e152dab8,bfd9ea5f,e8f9fac4,bda888c3,7e37e2e6,73d3262d,8cce54ab,f923fe5b,6afa964),
+S(b907808b,678f8eaf,b29d69f4,5f62d8e7,990be642,1f62087e,8002216c,5f75d851,8e01d556,f9ab18ba,711596f5,61294f50,432b429d,5bcf101d,2c7db554,7f2881f9),
+S(158c96ad,32e36ffa,1b67a345,a650d15e,e3caa5f8,eb9f391f,f14d04d4,a3299700,f63742a8,a8d39d2f,da081040,748d157,18c9bbc7,f228a768,afabc69a,7897dfd8),
+S(cd62d2eb,1ffa09dc,e6d5596e,fd6627f1,a40e1d6,46e58d0a,99fdfda7,1e1d0665,9d0d6f0c,3e02d85,b99b723f,90acfa03,38c1e021,bc8bef01,9fb0deb6,ad41836b),
+S(1616a7e,c92bf575,713bf433,e6788774,2ffb6c2f,f9ce2db9,f0df6149,fd7acf66,baf4dcc9,574957eb,aafbc4b9,cf6f913d,198cc26a,d98d9640,364bee25,6c76c22b),
+S(e7ef9ff3,6e86908f,8cd68871,838ed08,2873771f,2df1ee9f,a74f8943,f2f46a3e,ed95ed67,65626e66,8cc8860f,b268b28,e9e4784f,4d704af9,3427f645,4f65e081),
+S(9d91f868,ddb1beb2,a986d7ab,2e6c8da7,65e2605e,e1cfb07d,f368a30e,239b16eb,55ef3a1a,284bbb2,d73e4fbc,2f92ed35,b332c77a,fb19cc90,ec98d964,dac6f8f9),
+S(609af9ec,3804a542,833fc7a5,bffd7bc1,da753dae,2de2e9b8,296b7327,b04da33e,fe876bc1,8fcd4c30,5bee3437,77a27231,c4e1baab,cd0afb37,9469c085,c416c8b7),
+S(871a8cce,60560ca5,83896884,9bc3c7d5,3d9dee7d,ba988495,16258f64,23ccce06,2b557be2,d08dd1a6,126c798e,ed1cfe84,340aa979,c38de116,dc01e442,39418023),
+S(1475a480,e6da65e5,ff84f5fd,d926f302,6ebada5,6f32c036,c7cc1375,db1df8a4,1e35a8a8,b1c38922,555357d5,69ef412b,dd0338a7,54e58ca8,87d09cd4,7e9fcbee),
+S(4e90a94f,cf609448,27b69ac9,7c758057,9aaf77,54e068e9,db68f50f,6d46f68,5a7532b,13f4224,b51542aa,6e94b984,651caf84,37a16c56,1583d227,8099cd22),
+S(bf8f311,7c4a9500,8fb70bcc,2442cb8c,bb5be275,f1631dd2,e86edbd6,6e239845,2f8cfd98,1dbed87f,4c51d621,8b308d4,76ee4e60,161509d5,861ff2c0,72a0cfb),
+S(ee46cc95,d118b3cb,6c37dd09,31f42988,ed324ceb,9a6cf226,87fdfe13,1bac0cce,4bd94958,867907bb,4823a7dc,9e3deabf,a3ec504f,a4efad0b,146ded5f,3fdc67df),
+S(76c7cc03,ca94b2fa,ba2aa8f8,b571d57c,6849461,5aac6385,11e28d0a,4345d4ac,89e964e7,d0c2bdf5,de3be34f,886d6b2,8955cd32,5e92ceb7,b379aed3,b216624f),
+S(ee37e6e4,bc5616e,59748645,72e2c350,d43b1f5,fc6c672b,524615fa,e6a5e14f,8b721572,f7fb8c3e,a108c05a,1214ecf0,4443dee3,89fad7e3,86b054f9,1f0c3d5b),
+S(e1c7ae02,561bd2f0,1e64844d,ee3df837,eb647df5,db64bae6,96c1312f,d9a0775f,932381c1,1bfe3926,37921d4d,7e1ffc39,8aeb52a5,b113d01e,1b78d0ff,106f4213),
+S(6aa0b3e3,98f6f75e,f13994d9,91cdd270,c025c754,67ddc374,9fc530c2,7edbc255,5282fe89,2d97a94a,e4c54bf9,94d9db69,8f629f58,fafcf7a0,e18f85a6,574ecf22),
+S(a4c83267,3ea49743,16e3aa95,e5d9ad46,30818d04,58c6783b,5f305e04,71b7e980,10eff981,dff167b0,119286f9,453ec889,a98ab7b9,4acac35e,f8a39745,2df75661),
+S(d5b2a546,81726474,55c45c43,a5e900f9,4bdb83e8,8196e3e0,17cbde94,c2f2cfab,d0a76d60,dca26b92,e0a91901,d9b414fb,eb90155c,89ab67c8,351e15e9,da1bc7e7),
+S(c7ee2daf,b3d220f,8865a578,6b070507,533d0b2a,3ebf9379,da04c68d,fc5bae5c,ed030df9,e07b915c,ef0dffc3,d2d24cc3,55a0af4c,f6462786,7f322b21,78420cda),
+S(1327686a,b3a0cc7e,59a8f6f,c3cfacde,ff6c17d5,9100470b,94f04bec,ba82b09b,1ca32583,151c8774,6a84b527,313c79c9,dee0cb5d,3043f584,6799fd7,abd0d07e),
+S(1b245c2a,3e49e7b4,4d35701c,f6b69597,9df760e2,e65df3d2,b16e8a5c,efd065c3,7ded9046,3a7b9073,c30fc599,eb8660b,f3073166,4fd147a7,d5c33903,ec3f046a),
+S(d48820d4,c768c172,43727ec1,8b7d4824,ff214bba,1f079eed,828377ee,e386d651,7ccc1a18,5b0018f3,b7911938,21a30185,c18f3586,9d34dddd,4da1f76a,a06ff703),
+S(7dcdd09b,ee384bef,55bd4591,82b7560a,aced0ef3,9037a661,317d911,38562054,19b815f7,c2b8370a,e4cbb9a2,facb11ff,b970c050,26ef5aa6,e92713e6,f5cfa3a0),
+S(19b26e20,cb023c5d,f474cc3c,12a80528,aaf0150,bd90a19b,9f7578b3,c9624a85,71ef67ed,d954782a,a3fb9bd7,c7b747c9,e9101ab9,2778c401,18c96ddc,d1458273),
+S(9dd490d6,f1ae170e,598c17b,3acdd8d6,f50f32fc,9f956bcd,8e2497a1,5af3f29c,e62680d9,4f21d3eb,4ea278d2,66c4bce,ece6c1ab,e6fc068d,ca9d72f1,21bf3903),
+S(6f12b9a9,71263232,4c15a533,3726f032,2f634d81,964e0b15,b20dc998,b085998c,34fcccbc,b4177216,24471698,31fe129d,a90ca8d8,d95a62f8,cca5da0b,505d0b3),
+S(b011c854,19c89036,77c6023a,bceb8a0e,496c2021,e0448993,87880eed,9f5c2764,afc0603f,aa87d081,5449686,d9ebd182,1f33f675,35d7ab18,5231e8f9,6c5cfd8a),
+S(c7ebbba4,5d2c4b92,b71b0e50,3f4c4e99,d9b61fd8,e3bc100,dc3b6b42,53444c10,8c042323,c7a16c9d,32654e6e,240f5c97,901fc2,2f6e0840,de0ad053,7afde378),
+S(95d1bb83,27dbe838,bda8e60,7f23f193,f43996bf,5a548270,fd296f9a,7ab93eb0,d15aebdc,f5432a03,3ddbd8e4,42433984,d1726068,634fc49e,ff0dc9be,e843842d),
+S(94897726,856037d1,3e009a99,cc799006,388a0eb2,d34541ee,f548ec75,585abb64,7552c109,7343f999,9d97f0a4,ed65910f,f1d7ca9e,542d9b4a,3ecec791,3abc4920),
+S(77b0dc2a,158cf2b1,88a98be7,d1b3c1c9,fd9b2c94,a2bdc2f9,c3597e77,e8572823,ff3dee13,5d130bb,c5c12bfd,73f73aae,c510ad84,cc9aee31,f28ba147,e99554f4),
+S(47f7ddb,bbba408f,fe233d83,627582bd,a4d8915f,4bb5386e,b0b039e2,ed3706d4,63c6280d,be656fa7,81389b03,1d70ae36,6146f7f6,4fd736a8,8d9edecc,a45d2710),
+S(b6561d0d,9673a6b3,4005bf53,20f74c4,acac0fab,d065d10f,8a61d5d5,25145020,dbf3f35a,9bcf58d3,ba3a5534,5229918c,a4461f1,8ae692a8,aeebd8cb,1e66782f),
+S(fbff78c9,1c67bd4d,75d62a12,b679a4da,ba352a0c,73ab0d91,96ab06e5,c7e7052c,e2266fba,7e71ecf7,a6862bb5,84b1cc9b,6bef8697,fcba312e,649e836c,fa0fe837),
+S(fc7e1250,3b630005,f488c776,9730f43,f5a4848,edaf869b,68bca480,22f85ac7,f8170409,f312edee,fa00b1b9,b62b463a,b7e0ecfc,563bf6f5,543ae7a7,10885247),
+S(84f2f115,9fdc3a58,df6a2971,9e2dfd7b,165d1052,4eff49e0,6ee53a9e,6101f30d,50557807,24376a0c,215e44cd,ae1d1dab,619c324f,fcd5e766,89176f71,363d7998),
+S(41f89dc6,3cc4169e,e6dd6317,d9aeb671,c5e0f0c4,c29c1621,b9fc1c73,9edb5a14,29d608cf,75a44457,82694ed4,32924d76,79a33233,2e62b4fa,cbad3643,e6ff9e36),
+S(2bc495ab,ca4e5879,fa277a14,6c07a2fe,98a07db5,ee5a145a,e042b578,bb4e9c17,87b9ec1a,79d3d68,b822a80e,721238e9,c2a75c2e,aca94cab,2fb731af,f964de60),
+S(4b18ea46,1f6468f4,f1f6b709,a00934b4,818032ff,61297f0f,6a4cb057,8cc4cd90,4f491b20,32837a07,171da3d,2acc4191,11eaa82f,db36464e,fa675944,a2c4f986),
+S(ecfdc56e,c44009f,1206b7c3,bd3113e3,178e3909,68d6d2f1,cb85ce3b,b951e61b,5085e948,5b4a00bb,9f09efa1,17f83987,6711a043,1c3dd794,611b2c8a,c795229b),
+S(6e97a5e4,2e911bba,c5f7ff6e,1c4fa9cb,9d12deac,2c13e8e3,1baa9cd1,3463a8a2,a86f92d4,709c635,f98dcdc2,e93d66cd,a541e49e,aec0ddb0,6b1c90bc,e692ccdb),
+S(265226b4,253a201f,bb7db973,5558a4fc,e07c26e4,245e4743,2ab0bb89,e99a804e,51e617ba,10b8b90d,67f565d1,156557af,a967f03b,85400f9,975864c4,f5c2daab),
+S(2ad97868,5a488eed,838560e8,b071aa47,565c4bf0,67337584,c20f8cdb,b2534169,8cfd2d8c,4d7bba3a,9d9afcf,2ee1d594,1c3aec8a,8e532e1b,def7e232,b3ae542),
+S(457eaad,8c46f083,56a2c593,a65b3d7,74ee3292,bfc812b6,526aff72,8ab2b495,3bc3068b,26008298,5186ef55,7c9c6731,795ff1a7,34657d65,e97dc564,cad5a019),
+S(dc83dd36,3ece98e9,636fbabf,96610f56,c74d0518,6ff0658c,e1e96aa2,8a488c7,ffb4642b,9f07e134,a3daae04,a7895645,ac49d6de,7cf95131,a9847514,786b4f76),
+S(36962a9d,5731fdd5,379870f2,6562feb8,38f733dc,cbd6726a,41112d3a,c9df3cb4,efa15b5a,bd55c577,82e95c2c,12e54992,d9728e70,31566878,85e19362,8d55af3e),
+S(494fa294,b5ac0d72,fc6f7f7,6b7e60d4,f8ec6399,dd1f4465,e57846b7,32210ea8,e0b00b97,71079c11,2a5a6e32,613c5d0e,420d1a5a,3212b52,71d0dbfc,4e6d16a5),
+S(4989c175,23783475,36a6fe53,a6f135c,a968484e,f7305e4,f80b6d95,cf41b30,75dd93f7,f04f06b8,88a19ece,4811c5b8,9992825e,9be07f8,c212b660,13cd7017),
+S(677e82d2,8b74f3db,73a8230b,98729acd,6b010356,5ba148a5,2438a5c5,436b6fb5,1ad2444d,b7b84e6,c4e2f573,cd2fb644,f3823c6e,81a574dd,bb4777b4,e26ff10),
+S(c379002b,e70b8de9,80af55ee,bb05eb6b,ef0beb5a,102e2172,687f85d5,b9984d21,127b0907,fc511741,77cc7f9a,9b36c334,c23d1d72,20267878,391644ad,dbacf331),
+S(39b33368,5aa7ef10,fd223b41,3c375334,38d06cf7,5b27ca06,3fd5c8e9,22cca4a7,88aaae58,acc5c41a,807e644f,6cc1bc3f,1f147174,994e0440,ce678f78,d783433c),
+S(825be64f,b35ce8ed,85cb6826,79ca7677,5a40bc3c,105828f3,a8b30595,ac3b6b21,976a3b6b,dae0f22a,e33f3d36,7d3fcf21,29f2ac35,e8239df4,553a869f,18650183),
+S(47d9d5a8,8bac6136,ecf568dd,ea7ececc,57f26b88,6fdc05d6,4c5b7ae1,113d3a7c,c6863fd7,e05f3e16,c0a47eb,6c2b0581,184b8d8a,550da1e2,370928cf,4d7b2804),
+S(bb7576df,abfd677d,6545db2b,69af7d62,20ba17f4,f4ae2881,8ec91a0b,23487df1,b5df0436,9d7227bf,67953da0,ef410f0a,a7cf80c7,4f3c8c89,de6cf1b8,7c65d16),
+S(6febeee9,251bea0c,d43eff7a,da9dc5c9,5b86db1e,b0e09bc0,4d34fa4c,4ead4508,df691ae,ac9bda8b,496aa808,949d348,97166b32,3f99c9cd,a851f68c,26a1e39),
+S(25fe413a,59744683,ef244175,a8021b6c,62e7c2ef,c6489261,958167e9,10716fb4,8be281f6,2df1bf49,8823c080,69849a84,b1ce138e,2326db32,cccab7e7,8c8a1ab7),
+S(1389327f,be427f53,f219b978,4faae37e,8337f5a3,1c377bd3,415596c3,e72bdaf5,fe33fffd,a7bb26f1,34340613,ab692eb3,9a24916f,37b66df3,194ac53d,1f9c1a99),
+S(1a3221f,30f9ca00,9e9b3e7,ac40dd45,b7b37b5c,1cff9c34,25cd5375,48f6fa52,7a105b3d,25b763f4,15fc1ff4,b8b3b964,9c1f0317,a6c4fa25,d731a120,562730a3),
+S(ece7fa3d,55e6b94,4c6beb50,b6ae339b,69ec8a46,679e11c2,7c703056,4cda225d,68be5c5b,fa975326,e5bd41fe,7187ecd6,b83ba698,ec98a7c8,9c8ff6b,d207d5),
+S(9fd0196e,91eba507,74f75e0f,980c4737,ac7ede54,4be0a8e2,c1a852b9,4799d10f,bdf3d80b,fc7ca162,76417e3b,b9caf72a,6e94c84f,c42e8091,d3eefaf1,ea790dfe),
+S(db89a9e8,703f23e2,13300b25,f952df32,853691f4,6fa6bade,c7ab775e,21a80fad,504c9ae3,c9a9e7ce,ccad44a,8f97502b,5577db41,510b3e13,8ccfa64c,2fbb0a31),
+S(32e762ff,a1b84c7d,c3aff832,a838d555,a9ceea5d,7066ae6a,efbbf96e,5f5c5eeb,ad842a97,ed1f274e,d3bb0460,309ce41b,f7e9cb55,c7bb5d3c,3b2b662,daf4c419),
+S(8e7328c9,93fac58c,17d2c9ce,8a3959fb,2c0c8c7f,a4d583a6,c4428f9d,98f5d1ca,b5370e52,815ba519,3fa02e95,d75a7168,e1906ae5,12cbec72,4bcd1a9,b897b8bc),
+S(dbb8e270,d516fe0f,470e325c,37707a03,3607ca5f,92c6f2c,97c32f86,1418ecf4,3da4b926,7cab86e1,7bd9442f,f3bf2c41,52aef531,f1d028ed,e801215a,7204fa86),
+S(5dd9b4a,bc618666,12cd3344,2d8e068a,fe624850,1cff8c33,87af5881,c3523544,51f5b,a9a010dc,6e5aef1a,138251aa,dd75c5fa,caa222f7,db2d4218,220fbf44),
+S(50a74f67,90a95b14,67eaa018,9409ba38,7edc5abb,4f2c408f,5bc6a5cc,6724ecb4,d32f7031,9f9162eb,861255fa,42495a6a,fefc8949,d36150b9,c4d5b066,7b41031e),
+S(11721064,55ae2391,2c2e35fd,190ba29,6bf1d580,fc76cfd9,1fcf6a02,e77ac992,158165db,2865,968604f6,3fbd298d,3a079619,a0c161f1,35879f14,5091a41c),
+S(570cb8ce,d29b407,f5e4769c,57c42796,b1c0b111,684c5a7b,fe9ecf8a,20b687fe,9826e697,97573a61,26d7cada,c636530,ea747b41,308874b0,a4fa578c,b984814e),
+S(5adfd4e9,142a8f6b,1ea6aa3e,14a83fc0,7e1df246,279082e0,36b8e2b7,dcc30637,82314ea,36edc02d,c489c36,c2b0d808,d64167ed,1cb33651,418e3c08,7732c97b),
+S(b26f96ee,37d49fc2,e4e76f4d,257197a6,f1c667bb,748fb69c,29d9f033,b94419a9,bcd2178,aafa4409,329d735a,60bf2fb5,60706e87,295c6d7,a7a7e0c9,4b280542),
+S(dbbc5fc1,ea84b079,90bd1af4,fd244599,70bff024,835ae3b7,129f6caf,290c4bd7,78612296,2b62b621,6f43f734,eab00121,ba5a5b3b,81090a4c,ebe2cb8a,5a02591f),
+S(e4d32dd2,710624c6,94120041,36639e21,708cb3b7,a15682ea,57e80ebe,a13738b9,3aaf833,3a7f31ac,6d6c8b85,e0831fee,3db67209,f35b0362,3b153677,6d7a4098),
+S(81c6fed1,b687970b,d3716384,5c35061f,e9edbb33,bbaa609e,53a835b0,c13d6a15,934cc11e,e733fb68,1a575c98,cace3279,7a6fff4d,6bcbed2e,89836fb9,3b83597f),
+S(28a654f9,58003817,95793,46ddc440,13c07f78,79c3b247,e52dbe27,97a02852,10de9cc6,571f24a3,6a08fddc,1ed27cd4,a9a0cb11,5d275d99,ceb60676,43773965),
+S(532c99ae,cc7305db,5cac0294,e25c0a0e,45e270dd,4f621f2,d1e36ccf,51cb7a48,8ee3619a,61df9f49,84259ab4,744f563a,bbb45462,9eaf0670,5240d67,6b3240dd),
+S(de02390a,37ec8a18,2a5891c4,f8041ef0,d548f367,4e8a91be,9e29e0ec,2b822e8,8ae501c4,32e81681,844fac5e,86bcca09,aae6f862,76994d93,7074c1ce,c3a04b33),
+S(877916bc,6880f1b9,530af368,1ad44238,dcdb76cb,ef1d3f61,6856566f,bb6da5a8,807bc5e4,5c400875,42804d76,eab0f291,499622b3,dc9a7e81,c1db7839,ebc5a5f6),
+S(5980d5f3,4b0c3684,a3381a84,434436fd,e0a0d6ea,1c8f16ff,b8a35793,74c30e9b,9d20e10,5e51e720,95d95766,7f479f61,34051c24,b09c8a2,125fb9c3,6a0b4b7d),
+S(5246fb5a,4fb10bd9,c240b274,93abbfd0,e404f444,13f0a126,5d8fae3c,ba805fa9,8aad021b,c7317328,6ab78e8b,3e3cd613,9d881233,d1f62cd0,9a3d6260,88886c7d),
+S(9b5ded4e,dd6f9c11,c3e9e760,71a7e257,74d2ea6f,c87412e1,a918f2e0,fe2075fb,80fad92,396c0f77,216187be,66619a53,d6a6ffeb,1ab70ca2,d64b19bf,2b0a95bd),
+S(d2d4c183,c4ba3336,2aff6d81,263a5845,b76d1e3e,6f5a0a0c,928a1887,da2b03c7,ea15aeaa,b602f360,f3a7faef,fbf2725a,5838d041,70455d50,6ec5e1bc,ca651b2),
+S(222241f9,b3408b3e,a8f7bc96,67ad4928,183557f2,754b3972,d5e938e6,36ea7857,cc2598d9,4621a8e0,3c8b444f,bc6b68e,ea584144,c770d095,b2152891,e6bde708),
+S(14cc26c7,c26fa386,e29204a6,99b24119,c8642d24,256e9fa5,407bca7d,4e69c32d,9b125adc,dc2150ec,5181d2b5,5a862dc1,4de72a2b,7a04e912,cb2f6503,24101dfc),
+S(292a1480,959eeb3b,468d54ff,2944786e,7702bf4c,8ebdf837,edd65177,1d5a971a,e7355cf3,e1c089b0,9362b68e,83825a25,39c88058,8dd6e1dd,ecae9447,ea4b6388),
+S(6c9f4196,a35d0a9,f0517c9b,2c04a420,127140b5,ae9d2274,cd5eeffd,140ce3a,854d6c38,df5604c0,1d65c8f1,9f5e89f7,4c6b1c9c,2756fb9f,8276088c,c39dd80e),
+S(fbd63ec5,8b3e0c43,4033ea2d,f4a8cd55,b4b4d24d,d1f8ed5d,6d8b1b6f,a14bf30e,e3770f0e,7b29f62e,9921f8e,2a78d2c3,a62814f,97caf2a8,304a782d,b72c6b50),
+S(df91d6e9,b046fc63,d81d94b9,aad17096,a2c7fe88,b95e423d,edaf12a2,4a2edf87,2cde227b,ffa27e95,ded3f142,41d26599,da28da39,16227b43,e665aebc,f67a9fae),
+S(b2ff741b,8b5d4cc0,aa987660,59652337,6ac36083,e784a181,63f653c3,667fa2fa,400a34a,e6990fc5,7e268eb9,ed2ee2ff,dcbb27a1,26f0c7a7,937617d7,19e7b0be),
+S(d156797b,9de0ad57,41b759ab,38e8f935,d352b464,b01080ce,70e22376,8d6b5e23,b7e64c4d,fb332c98,9d21c2ee,67a5d5cf,d728bc07,9b448283,55d9e6d,4b0fb3b4),
+S(a3814ee5,e242a6a4,65ad0681,a0193dcd,16538d6,1087c6de,fd362a8e,671e7ed2,3be12033,59d441ba,d59d88a5,64d03ce0,c67a5d18,4f883388,96f7caa9,e3dc96ca),
+S(6aab0cb8,b46728b3,8b78d386,d45122af,c95bb1c9,9298cc77,299f2fd2,b5d72586,fcdcf718,caf0c93d,1f3ec76b,b4060f8e,a3863736,a5d966d7,c617fac6,6f530753),
+S(5fc6e596,7b508698,4c99666c,22fc7316,54b700e,55877f73,169241ff,8b759937,57af0c61,76ffb00,626a98f7,ecf72762,9746b0cf,dc8a8914,683cc49a,6d568505),
+S(7f3944e2,bcb3cb25,e36c8479,ed51019a,a61b1122,ace99dc4,82ac38a8,580c6d2a,dc039090,54244e0f,6acb6d33,fc4fee58,8e5e25f4,b23cbe55,5a330779,872f2062),
+S(5485c8db,86078936,14fb7a19,73651f6e,66ad843d,e92db2f2,c4db2d5a,bb7316f5,ac39c239,b0fda325,44bfe05b,1a4ecfab,7ccb84c5,db2ec999,6d8587f7,d15bb82e),
+S(e52b9934,910510fa,3611dba3,8630853,d0cfa8e8,ebd64a2c,7b59bde5,edcedf2a,cea4d745,64e8df98,d47a3ca8,7f1e45e4,728e52df,f383e391,6dca08d1,326a7e38),
+S(92b17ef4,fb8f8dd7,e0307a,672b37ee,78e0dfe3,e19c094e,44a50c9d,3ad7faf2,5bd53e68,dbcb4e47,18266085,9d12a34e,943691ee,dd034cb3,1eef8a29,e35b762e),
+S(7f8b2952,70f6b2e0,84503f9e,df24fb8b,e91393db,64a90971,5e68b009,aa9c3b6a,c45f0d84,d9407856,19a87d38,296f70d2,41ddf1b3,8f421d12,fd2be1a9,32d2b437),
+S(cbb90912,403439ab,8d04714a,1a5ee460,70202e4d,1d7de375,36754bb2,4c8bd2b3,6966ca4f,bedcb6cc,64d72eac,fa1a699d,977dde05,5d2454e2,9deb220f,e2f51c11),
+S(7d4ac2b0,6d1810b9,a3e823df,ece821c7,70c90d2e,ed0bc324,9ef1a43d,bfab3043,824fb46d,6afdf15a,7979b032,28588c23,4a9add5,6f512253,780acb93,ed7ff34d),
+S(36482902,2ab638a1,df90feb6,c20ed6fa,fa81ddde,87d069d3,7cac4a6f,e92a9b32,af6530a8,1c62e72e,409d1308,d07fb227,63afad97,8e843672,b241ef60,dbb36aa3),
+S(73f4eff1,ec95095f,be5d307,8a9f6db2,23e9b874,bb2d077c,c58fbdd1,d03e1f62,d7c0f36,5ab93ff1,999c6f95,d5c6102,47341004,1ed97e8e,9632b845,527078a6),
+S(9a88fd12,af0611c4,b07ae62,59767f24,308d1aba,529886ae,6ef7f5ed,22e98ba4,a16e8f50,164ae75d,9712b544,ecdbada7,725c2144,3e8044d9,f3aaec64,367169c8),
+S(265e4dac,6139efd6,a7866385,f0bd1cd5,e8bf205f,344ce71d,3c0ce073,766a6619,ded5a75c,ff4de7d5,f33bab64,d000b65c,e5078ff6,c01930dc,17bfc64c,826d103f),
+S(6fe39213,baecad17,f8b82f25,d7621cb,3f1b1a07,2333ae38,d2d00a6e,ed8aa1a0,d6b830ed,f36775ef,7cd7c648,180a6edf,be65ab25,7304de39,791733dc,f561172d),
+S(671f82c0,ac712083,8cc32fc8,85ae272d,4bc59e46,2dadae48,b4dcf279,707776ae,4aebdeae,2c42a80f,fd433d38,ad4ecab8,9e4dbd3f,d73db0b6,ae72e78,6eb7aac),
+S(d83ef3be,4630e5d4,edbc6628,828b40fe,45806e60,83094433,31be3042,814bf4fb,ce89b788,8c93be59,bf0bffa7,adb87c4,a4fbdb78,73de3d04,c62b5a58,18e1ff92),
+S(de2df94d,78cf43e4,720da5de,7f08de15,4b271731,8bf450f5,667956d5,596cc60f,61c4585e,3557c10c,8d22671d,8389c508,195b0ea2,e9150ed9,ca93fc53,3892283b),
+S(4bf44266,3d4c7de7,872aa7c5,e5ae22a7,30dce19f,78d92abd,1b7e04ae,fa3e5dda,ea831ab3,b59eda4a,8e959003,c4a6266e,d4f691f6,1514dbef,18409b03,5b2a6594),
+S(4912c91d,38722c4c,f00aec0c,895980fd,af4c6351,33021e52,ddf0ad4b,89b67f7a,f96d3a36,89e4838b,116b1529,55392373,1be5f0d,30b1d541,6c0b7839,1b24ba5c),
+S(8c0bf82b,d2cdc2bb,49b2161f,9f0a528f,79f8f8a8,1b919b70,9fe5a46a,c26d417f,aa98d79c,1869d92d,251d322e,7bac3dc6,5f166c56,28250c29,9be63e4d,ae430dd6),
+S(83eea34,4eb8bc40,2f4ee569,1d89214f,dd3ae674,d60cc0ab,9df0fd42,7559e0d7,9d7f5834,fe912c9f,23790306,3aa41b6,33085264,e6621a9b,9e87e151,dcb2562a),
+S(754addb5,a1b21e3f,609416e5,5792c265,76b90660,736d0d0e,364aa13e,74b0a699,3145763c,c0d95a33,5e443b3,5dacc8e7,bdb2904f,b868cb27,3a505475,511f3dde),
+S(3e513f87,e381efdb,14dc686d,14d85d3c,bf725e63,9d934de5,647823f0,c4eafee3,360be751,d3f097f0,b09c7d0f,1d425cfc,88e400fb,7a0aca3f,9d521e6,e79eb87a),
+S(ea4cea76,f7478452,7364965e,546a7356,55d203d,5a92c3fa,336816f4,983fce7,a1b664b,e74b830d,8a49eab0,165e6945,69ce0518,98007000,e8094f92,6b3ba536),
+S(eaf39608,61712ea1,88c9a2d0,c025d56d,8b52e59c,ea35f298,41f13759,625dd824,96ff00bb,eef7e8f7,23f2c7bd,7d6c3eb4,16827208,d3a2ca54,d40dbb83,4e13a2d),
+S(34d3a7ad,a590d9dc,2547b9c4,b99a2e10,9689320c,61105415,c50879d,4de223c8,49eb6d27,eba087c3,1252084a,d78e187b,89473be1,1032e032,8a944e48,ce0a7bd4),
+S(22f0cd6e,9e232e52,d82d70e7,d1ad0df9,3638bea4,8fa0bf16,4ab3c7e6,a1d961ee,66d0990,b57c8e13,4e2818b,910c27b1,7eb33daa,90ad5b2c,427b91e5,51514068),
+S(27a48cff,114f4f76,bbce0d83,458a949f,c80b8821,fdcd35c5,b3810fd5,60d179f3,41690918,b0599515,f913db47,37083743,4f62321,72084ad6,7a730af5,b32d25b9),
+S(2d845701,6ecda7b1,3a2a72f1,cdf24c12,8f4d85c2,c4b72881,45802bb4,603093a,50f1e7ed,ec9e2dd9,55678abc,e5ea06d,12ff61b9,baeb1d56,79055c32,d8654315),
+S(cf2d9ab7,92247125,b0bccfee,f77a5a37,5e796957,75950d0c,af401a12,c8fb9a9f,8839d0a0,850df254,3e77dfb6,cf06f424,dd16c26b,f3aaefbd,aa3cdb5b,d0ad818e),
+S(de85e4d3,75463ab0,a198a6a4,1d5f1fe4,c56af2f3,786ab9d3,705f540d,6b5a3770,1ade7a8e,1f9d595d,b67cf482,4c8e11fa,561b3625,4ec5631a,68d73907,8a9d8eb2),
+S(c18e2092,299be419,77e40102,c9d4388c,84d602f3,770beca,50c03008,55ea3a66,86b9b3ed,786a570,de95e947,2fb0e61f,ac4aa85e,47792e99,25738e5c,3c4af6da),
+S(df9ad184,a9e3b41f,ecbdaa0a,a48e2252,944e0384,538300cc,43f9ce48,6b224422,c4061799,db92d160,de19c4f6,a1280ca1,b62d675d,b7fca41d,ca838bd7,3d082fab),
+S(fd846cbf,66ec362e,4d10a783,ba60c734,d9577ddd,18934ef8,81ee755f,d3748a95,d6db4def,d6c742a,e50ff8a4,43336754,d4244a42,a851ff72,7609a016,d0c84d32),
+S(5e86fa96,c29e30f0,7b845438,5f39ac6f,43d120fc,df10d891,ef60e2b,141791f9,39f5ad4b,2e86a92f,3b38e286,5d7e1ec9,2782845b,593d1d4e,43ec73b9,2dfd6440),
+S(8744ac1c,1b16d65d,daabc8ec,d6cfc40b,109dbd9f,c19e4439,1e2ec486,ad27293c,ab30e186,e4f2f48e,51ffed3e,46dab701,ba78b9af,b6987166,19c642d3,9491f1df),
+S(9c4bcac1,c0a0ca58,debc6c0e,71238988,607dcdf1,415045df,83697282,84a31c1e,6467c5b2,32947b2b,30c32a18,174035df,d813d42c,593b37f9,2a8a05c5,52d2b7cd),
+S(3766aac7,b9a2ee6,27691923,ef91cdb7,30a24727,2da61421,955ffdb3,5125cb7a,22b7d930,94110a51,ac72dc5,9d2bc66e,45349a1b,90a7c655,4464713e,6d2833b4),
+S(e7f2d315,ea0d0f71,be63c896,3c6ba75a,2122e650,fda59f27,b4ee627c,54bdd30f,41cec687,9e6c21cc,99a3aaf7,e4fc75d7,ec163a4c,6aad8a21,22da269e,1e342d80),
+S(cf50bffb,bd4aff61,80be7e75,e9004d85,2234fdd0,7b0b3e13,1b883359,7e96f40c,7c9eb80d,7808d937,eb5215a8,4ec4d330,565b2aa2,162fc4c1,b46bdb19,b93fc159),
+S(5aab4d81,a4eca88e,e9cc0c20,94ced3ac,912ae932,2834a67,324aca30,956805d2,64d622dd,9afc799a,eb495ad6,dbdf31dc,7156ee66,d8a5e67,c44bf50a,94fac52c),
+S(a4f6d781,9dd34aa7,18166000,79d8d7d1,eeb5b971,4549cf3e,a472126e,3cffe8c3,4c87eace,b4e535aa,36ce839c,336fe9f7,d4b0680c,e61fc525,4633d38f,a8c395bc),
+S(3ccc6b5f,8188f3b8,b5805bab,c95f08d5,9b803e03,febb6f49,84dab325,1f6ce719,5b4987f1,7f9e2610,e443cb1a,2df24752,72655670,e739f0f4,3ca9c3ab,2a4dbbcb),
+S(2d0a94d2,5bee2c99,1d8b312c,251e305a,5f44e1b9,29bde36f,a973e51,2919130e,f9cdc9ee,528a45e1,5d1ad338,db49b3a4,2db74785,d84cd12b,59391140,566636a1),
+S(ecfa1649,da1a0bfd,41ffc294,40ad7a91,b6ef0d97,115408e7,3a05f506,e1aaa6e9,7f8a0b16,4b817533,84970c00,3c497414,ae319090,7481fa22,9a920004,8e2783cf),
+S(4b97331e,38aa629c,14c37220,b6c3241f,603bcb0b,6b07a66e,c74ad1bd,bdc25d7d,65524ca8,ddb85804,a2111e69,17167d2c,105a58c3,321c27c2,2cc0256d,c30761d9),
+S(acfc4bc6,99f3af13,ac70f25c,ed729ef0,866b900a,6c39705a,5e0937ba,fadd2a90,70ca7ebc,923aa022,85f91b19,3c550487,172f2f0a,8f10f0c5,29384cae,20167824),
+S(2a984810,805a9eee,d24d1ba5,46825c6f,aea09889,132295c2,b4ec7e64,8db9826e,b56a531d,7fb7e8fa,ef957956,747015be,dc28da96,eccd66c7,c2727529,c2a45ad0),
+S(76c6568d,551abc3b,f6102d02,17a440e1,36e80776,135dbe60,7581bad8,2aabb2e8,81e56168,c16473a9,bdadabf8,339c04d1,5d3cc74c,56465bfb,2eb0b2e2,8bd4f82),
+S(6476831a,3425f0e,e8ded7b8,be239bf7,7b16d271,eb1d4b36,ba7f692,a2f155fd,90cc74bb,88acd0b,cda7e17c,48056936,9dfa8ba4,ec8d6f85,eebb19ae,f35ce085),
+S(b2b49ada,50eeca27,881c3b6b,656df825,3422e3b7,1c145401,e92c5ed8,fa3dc51b,4f3f9fdd,41d2669d,b087ebf9,883f4f9b,383c4241,eb87898f,1e916392,d6838820),
+S(75448fb9,5c0162e7,c3892300,bcf070ec,dc49560f,8c0f1665,f0bb081e,dcd12e05,b0b84014,c73db3a5,9963812,d99d6d0,5df7d46a,6a646929,9868d874,6308beb0),
+S(643e795c,1c158422,24ccc0f0,97c18b11,dbe1fcbc,df8a4e2a,f234f465,f42cce3f,a067acf3,5c7f2e05,4ee6c40d,1c1f1eb,2850c9f1,8138642f,e6becd29,46e3d604),
+S(fa200bc3,6ecefe8e,9e5c82b5,1f380c2d,a14b0478,6329dcde,9dae0546,4d109dec,8c6b6cd6,a676bf1a,c7f43bfa,29d6863d,87740099,d5a06e9a,eae4b885,44d1ecff),
+S(851fe9d8,e47b0186,ce001821,59c674d,390e5481,fadf397c,67a2a35f,8cd7b1c8,e6e7b57,cc25bfa,8bb93e2a,f934e154,314dbf3a,37549659,8952de0a,3ae55a71),
+S(4e462e9d,d2995148,d0091e2d,94f5660e,a5a994d,6476039d,dc0bd812,cc47ef1a,63c80573,dbba650,5ae95b0e,9c376a2f,78fb0d86,889e0ae8,33e0b823,7932cf00),
+S(3e46f7ea,4606f5cb,4a8d7386,bd0fa2e6,89f03985,b9ab7cd3,1baf3cb8,24e928f9,a4d3c20c,9ce14434,2fb14481,41a381f9,fe4263c2,ce955e7f,daef45dd,97c3948a),
+S(c650291,432ea873,473dce0b,c34aafbe,24a752,fd54ad97,5da33acd,66c48bca,795e9965,74baf74c,2fdd9e2b,a917f02e,aead569d,9a5069d0,73341203,772ded96),
+S(219416d7,52d6258e,c69ad11e,1a2a7552,4b327412,c9431211,7b57d960,d1e23c5a,916c79f5,97ff454f,b93332c3,d0643652,73861c82,68ded6b4,9558d76c,217278da),
+S(d97d3e10,8f3eb83a,9dcc03c6,76755f7f,ada5b761,69859e14,bcd4e7c1,56dfd7c8,a2f0cb2a,2fc680a3,79aecd75,1cf7758c,50398624,8381a5dd,ac9c9902,65b18a27),
+S(dae2570e,67a3dcf4,ffc0f56f,ae3dd134,479b1e03,8faedb8e,2e84bc1a,3847223f,817af757,125d14f0,c9841d34,f885209e,e2b79522,53663a6a,a3077e2f,43da2c7d),
+S(6d2b21e4,33b168,a6eb9eb7,496533fd,b6ec326d,e7fc7556,84547cc1,2c9c3143,9ff9697c,514175f9,6082783a,a2bdefb6,439d6826,af9a61d6,5282884d,4741262),
+S(de577780,8bf5caf,428cf519,9487a81d,8fb8a2a5,2bde22fe,2f72598e,3fec4495,8ebe9150,916a70ed,1c6384a5,d133210c,53e205ec,d0ba7a04,5a6434d3,e32df9ed),
+S(d04f1378,7bbc4e1f,8b1c548f,4d79fdd2,8a0f8199,49d81b51,3c63ca6d,c5c6d3,5cbcc339,3050eeac,677f8382,8499c8bf,b3d43b1f,5ec98768,ec0a71a8,d81dc3ff),
+S(4353b53b,ff906815,d6a58b36,ae02cce,cbaa3fcf,a2bdb5db,7dcad258,4fa18e88,850b08e9,5714b0bd,2fbc8f2a,4ac5980b,ad30ff76,1241a5e5,5a5f01c8,a221fe83),
+S(8141ba70,fb997010,1ff2ffd,865ebf7,137340bc,9eaaf3ad,279eefe4,d80953e7,ce0450d3,aeaade42,e4c66c30,2da0fae7,595524e,debbe419,316a1d89,d238ea5b),
+S(8676ba13,25c85d1e,af93f424,755d17c6,70d2694d,2d52b890,540f9826,f2a1bfd1,df0c7ba7,8fbc592,46b5fb7e,8f98fb1f,ce1bff80,c23cc2fb,c1caffad,213a51f5),
+S(c55ac2c5,1d918713,804abb83,e2109412,4494f614,109f32cc,62148706,98afc8a7,44e56fe6,6aa7b14f,44c6bf3b,1974e6c,dd8c7b61,73fe0067,952f0391,49512132),
+S(72738507,f0b3244,e199409e,20eddb8a,8ffe7fa3,18930f45,ff0b1c9e,f7a15b90,ec121c76,e6f5caf4,7912cec8,4ae5c8a5,d5a9311f,a7f383b,d2e8622d,62e6171f),
+S(f6a7158b,4dedfd94,6a4ee001,cf55ed08,33a57284,cedc4221,58cda87b,a0e1bbf8,2f37f2db,45ca86fb,b2fb6af4,df82582e,28e1e33d,bea3cefb,906d15e1,e7442f25),
+S(8cb36d0f,40f21951,23ab2ace,e1ed08cf,de216970,ef6c6c96,48d79a1e,7760e58d,f397a565,d5eed2cf,427ad4ad,52d5d748,2b87bd97,ce31fb53,ad05cc57,2989819e),
+S(c5cc35fd,5575f56f,6c050c24,769f4ae1,c0427e01,b953ddbb,4551ad36,93fa385b,6b5210a1,8e4b1d7b,592cb2ed,d1a66e11,545cd114,8541aaab,cf781d29,77551419),
+S(bf3bbf0a,48711b91,74e120e3,b977a572,712271f9,842bab34,db42d1dd,7da678ee,6c711317,4fead9e7,c7fb5ee7,9b8f862,a3af320a,d97cd970,df12c0f3,84a3f3e2),
+S(35534e77,c8dc6f7d,425d430b,b5cf4743,f3fed959,73d63a3d,771e5a5a,bf7da645,d22f018b,81b8f8a4,e2d297b6,f233e826,8fdc6168,4166f72e,2d89998b,4124159b),
+S(6471c07f,de641ca4,b118958b,8ff9a9b1,27403eca,32a849c4,1b0ae1a1,b2d9ae23,ebb318bf,edcf26de,5d4bf68f,56fb898d,8c2294c4,7097bf9,2f34f3d5,6c535807),
+S(9b8d568b,4f2879c2,1bfc95d8,1e97ed73,9bce2444,ad40156,7438ae1c,4b99c2ba,752531b4,92245df6,19251bb5,7071301d,f4a7f681,ce5ea509,18924173,7d00957f),
+S(8a8673da,eb675829,cd5f3cb7,2c7434b8,d42c51d4,2fdc7a97,1681f7bf,4fd04e37,f2a66884,bb5ed9eb,f4e16864,3573135f,f65ad9f4,2203250,60b45cbb,1861a000),
+S(b5048475,f56c6a46,db949469,2500bf4c,49b226c8,83576872,9524621c,c9807bb9,4727efba,45050af0,50b7847e,f5201101,591b5432,57ca917a,b9e6a210,20036cdc),
+S(7d207c2f,40b9b31f,be509744,c325dfe5,c958c56d,92f43a15,511888aa,9deff6ef,4125af38,1e3f9562,64089375,965274a0,30ce04e3,9533b3bc,bc742b21,e6ee3582),
+S(f6c8baf6,b2561144,47fd3cf5,a018b31a,846eae1f,a1d8f74e,59f315b3,43182edb,bf8137b,3aada7aa,7d582791,11d5c4fb,970669e7,2c160ed1,da9e1d1,4a2e2bc1),
+S(9c67787f,84a714b,89a560f2,b876e92a,f8b2de18,6f8cf416,f5bbcb16,2e59d27,c0262b77,becc9f9d,378051bb,d2705bf0,92fd8a3d,b53cd131,aefc583a,b98e9402),
+S(54d474be,7b58457a,929b9a7e,39e97b65,3478eabc,fde384f,681375cd,6896ff47,b8314502,4c1c2aa2,586342a2,f035baf4,ea086434,52ccf444,530b1c06,3e4ceed6),
+S(e4dffb62,4132a5ff,6eeb946a,35f98c01,53b607c5,40811043,d1baf243,3bb23467,a580f3e5,d8d8e685,47e0c259,5e9c4d6f,a8616067,b3a437f6,ed43bb7f,a695edab),
+S(d572f1e2,8f3eb14a,afe3ece6,585ee6fe,f49fce12,a2adcbde,d5f4a247,97c4a7f2,d9d268fb,2e80049b,b9a26309,69bc1692,c96b2d5b,dccdffc7,93305aa9,7011f88f),
+S(bea4242a,5a5eb8a0,6f5c0cae,f38c3b81,4711a7ed,780e607e,10512d32,fb4aba82,601c583f,25936e03,ebc2406c,b248aecb,61f7ba27,894e4f17,46f34aa8,519546b),
+S(e3179e2e,b6b92374,9c8f7ed0,40ff053,127a7d78,2da166d0,4639f55b,7cb74459,9a22f3ae,8df42fab,4b3d01ca,527c967c,7cf43f38,6a0d5751,8d47e7de,731b21cf),
+S(8a973494,c8cc5c5b,4d8eb9a3,13bc9feb,fe6385d9,27112399,3c78e2e8,a732d4d1,fd2d15c,c9aa5128,c505fe85,786c55ee,aede07b2,94bf2466,d9845d3a,1596d8d5),
+S(b87bfc57,7d8decd,3396f6,43200d10,946c0a7,f2d4ef92,4de7741c,e8acd653,62bc1f4,e3c0760f,82d953a,5d02a10,8ab3d0d9,53c463a0,295b063f,77f434ec),
+S(aed2bbe,8ea08b0c,fc49c4a,4c92f63,2bebb84e,53027958,5b249cc4,c0ec61a1,76296846,a5391c5a,69df4e6e,44e9718e,622392b6,63a4ddf0,54b9e2e7,11a35bf5),
+S(34fcdcb2,655b0405,2758c3ae,4f0bd15,2965dc47,9d7b63c2,b787adf5,6852835c,8b87ed68,30c88383,8eec48f,89a375f1,3a846f3e,ff0e8729,c1ad8e99,32cd4786),
+S(f9586aed,be4ac742,2ad3b9f9,b8cece5,a52678b0,5b8ab318,1c6c2412,b470771,231f2be9,7b81431c,12539d6f,d247b4f,3d0dc8d8,15c2cfec,4526ab9f,e9cd6b79),
+S(88125579,33848e15,f6c9d813,91e5eea,cf8ecdb2,1f55f4d4,1ff34ad3,a80e093f,d45c6727,c3340e79,a5256df0,41b4d999,e8910869,9620aa9c,bce6c3fd,7c17283),
+S(ce1b52c7,f975a37,25f904df,9f602b82,52573170,96d4adc9,8043d35e,6773d354,17b65d8c,cfec6748,2a3c6d62,99dcc47,bfecad81,bfcb7d83,5f216f76,1ff9ba7b),
+S(7e6885eb,5c8a5faa,6cd47921,54b2f5fa,4aa292f7,5fb16cbe,87c1ccbc,57501542,16a0e969,a212ae5c,6b4df92f,b3a510c4,c0b9ce27,c4f0f389,e77e4038,8c3cd101),
+S(37589935,89c37714,3467b869,c366af1f,2d1566be,1ef950a4,ab1491fa,ed2ce425,2ab4eb91,cd533805,2020300f,b83a46ad,bb846863,6fb2a9c,c1e7c7cb,f3e56799)},
+{S(ebc119d3,8e794efa,85fcbd,5affac35,f73c7428,590ede0f,6365f1ea,87c65b4b,183a9992,3911b1b1,cd9b0fea,3667b6e1,52af7499,8d32beb3,d2ecb91d,af6e8a06),
+S(28740562,ba21e3a3,69d80ec9,17b36013,8119b6b6,77b64cef,5f84f278,2fe5b3c2,2298a60,779ec4ae,86f9e0ff,7f981f2b,ea69e782,20927aa3,da793a10,3eb3d307),
+S(12f64dcd,310014ae,81a7f6b7,fdcacb7,e8a9ec78,d28531d9,71ef3dad,af946fa,dde0755a,af7081cd,59da7725,e8246e97,2340c01d,eb76dd90,f0890923,54fb2d8c),
+S(76134d79,133c485e,87a081c8,ce365757,f3beb361,c764220f,b16c1924,787cdf2e,2a77c2ee,b1cd5181,72101ebd,538d2f0a,10af3190,118da259,e4a53dff,d7a7b0c2),
+S(89c5073,fa0877c5,50911355,475c24d4,bf8b8e38,8e9156fa,93021ed6,21429c8,40fe8b47,cdf3690f,63b3af00,efcc2aa4,b29c705,d04044f9,bb910671,b6ca995b),
+S(bdcab1d6,157ea793,40f3bd0b,13365b24,b68641af,4e222d7c,b4efd8db,47b8905,b9d78e27,96820c87,850257de,746c6a05,5be5e595,aee8ced1,1dcdbca5,d92c5ed6),
+S(da509ebf,2b7dfd80,d00c4c25,4b2e3b1f,df021d5c,cd1874fc,50b24141,2444e666,c3782467,e1606722,a76bbd84,dbdfd6e4,2cc41a10,cf50d921,d1bf916b,24459c50),
+S(45da8013,3e8ee0d,f0a456d8,bad2d285,ab401f36,bdd520e3,c66b3d6c,925a17ef,4fd239f7,bb17c84e,3eebf9ee,c352fe82,652af898,f670dc5b,e1b9842d,9e593938),
+S(d67ae553,58ac6a9f,cab9bec6,8a423738,bf7340c8,33a51cb3,2528893,24cbb1b8,d0b6ee57,e131ea57,300e228a,e1feaaf,55f1eab9,67a3ba3c,c403bad,b1dc663b),
+S(6ab4478c,c8bdf1e8,7bdf566e,c24f4e46,a689459f,b002d0d5,715eb22b,62cbf077,331f13ba,e5be2960,97f8326d,1e4d3147,fc3ca83b,f4b3a4,56ae15cd,83d176b9),
+S(e5d02a1a,3bae963e,9410402a,40390ca3,53d53a56,66ec6258,e82510f7,f72cc2c5,80379b63,2b5d4835,170bb358,c9040fe7,fad6b2bf,c7fd26f5,38acb1da,ba357453),
+S(39acfbe8,48db640a,c2e7ac,86a1333a,ca94060e,fa88f0fe,f00d6273,74d79293,70ea1445,f7ea5f8,1148f42b,a37b2fb3,fa09f42b,9d2416ef,7fe0bde2,6e1e8f50),
+S(1f8ce5d9,a815f4f5,d52c4dbc,7faf4f0f,d76a35e6,c2570632,6602bfd7,aef3b51c,3a2ec9d9,9ad3594,b223afbf,4d292f0b,88ef9372,18dc2ce6,e53df212,cc548e01),
+S(5ee148dc,f4fd3d7b,b43532a4,8c782365,f944910a,eb235d67,f36642a1,b15a4581,898252a4,64cccca8,bc958dc,363cbf6d,b044492,248c0a96,aeae3bc4,26c67c93),
+S(a07ec6d0,9829e04e,135566b2,d0d677ee,7e6bd606,21474cef,3e9b512a,753174d2,eb8dda9c,f3b44412,ae50c684,18453765,42697a15,33c84e78,fd75a8c7,11201514),
+S(9069843c,36cca54f,aa3f5ed0,3c1d803,abd12955,4a5f8729,ced1352f,ab628d44,7140b7f0,e955a45d,aa2ddb02,846bdfcf,85163b62,718c9a51,3380b3dc,4ead8950),
+S(69a98f1e,2677c441,86720bd,3b1cb073,9f06a16c,e43f7e0f,680c14f8,6540c36b,d52b75b3,a3005ab5,69041e3a,398549df,8f432e5a,c0d7e268,463b9190,191767ae),
+S(c9297581,bec70b7c,55abfe17,95337b68,b99fb132,1d203a2a,29b82462,15e29633,36c4eaa0,5564673e,8ca1f783,82070d49,b8151afc,ec6c982f,2950a371,605f14c0),
+S(53d50d91,1977cf5a,da1fdde4,7d44f6df,98d66efb,c858b92a,c490ee97,77c593cf,84db77c8,96dd1607,2c45c058,cf5bb2f,6435bd45,60bdbcf9,b8df71bd,404848b6),
+S(ee15471,8e67e1c4,89d62145,5291a5cb,158d8fa5,84f7a134,bfc00357,ff578ed5,d9d90c79,3aefe401,c7017ff6,56d02ead,12318503,37659baf,f573c9e1,e4c65f0),
+S(19e16e0a,ae3a4e80,ba0f66a9,7d415f37,784270e4,69e16560,7fe3632a,4bd8f1e3,6aabbd97,55c15f11,5a2e8287,b6fe91cf,659371f2,de5c86c2,a8deb96d,27037e72),
+S(e93d52c6,12c07b0f,4f2f93f1,4b37bc92,3c3d7171,fad16472,146fb195,fd92f33d,933450e4,30e9c8ce,5a5948e,63f6d0b,40fb2ccb,adf5376d,4c076a63,9490ffac),
+S(bedc3252,ab1e4676,63def49a,781cd7d7,98d01f3f,7cc1228a,9e396d86,7e8af12c,445c8bfe,9eac928a,b2d1d143,adef019a,7c243159,23a7b190,c763cbd6,dd305271),
+S(28fd28e8,723d5c98,d978ac74,b070402f,3fc2315a,76d6c2e9,cd996b97,bad6375c,3ef59add,897dd001,4ef7441d,a62a8ceb,2c62b7a6,f5674ee5,b916851e,efdbf0d7),
+S(7e8fc198,22ce5d20,dc04a61a,d33e4d66,c17ef03b,7fd53acd,e9c3e01b,21f3f646,ee5db413,637b4c88,d8cf2e1f,5d1d3be7,1d924962,38bbc30e,1769343d,9590cb3b),
+S(b891fd94,36a14ef2,43f7ce7c,91d30887,34d1aee,8ace1fe8,ab3b29e9,2aabcb5,8af06c1e,ebf9bdbb,e1ad2f06,fdee27a5,4dc1c0a3,b08b17df,8e6ef7c5,5937c215),
+S(236a16f0,21e85cf2,d5d62763,ef051bb4,c532dd26,cfdcc64c,2429f15d,8082d6db,bd24dcf9,f41f4c07,4fe6b6ea,450e3b9a,fd9c711f,b83ad683,43e65b13,3e654f3e),
+S(d15acc35,21f6c40f,e7272e60,ba7b41ad,36351083,37683d43,4f9c576e,604b255e,7669301a,144b952f,cffb2e90,8d1709b8,87cec28,e7766930,eea8e753,2afb792d),
+S(3b2c4a9f,cbd14308,fd612624,e5236b7d,4c363e3c,ab30aafb,a1092169,5beb3b78,69218228,5d7ebcaa,43db5109,46b93c22,ffcb7781,9c0de27e,3254ee33,3f9ed9a3),
+S(b9f6b09f,a02dde42,453dbe34,b2388f55,4d042646,993ac018,5e7a6a63,2374dadd,7ee30f24,51683425,b8597189,a053a181,400df517,5934d2e7,cd00b504,484d9b3e),
+S(f65baeec,e811aea7,a83f78f4,8e6db3c2,76fe63d6,11b4477a,42df67b8,4995758f,372ef8b8,9c75c669,7bd45ac9,68680c8b,14e4e558,d38e453a,2bd0c176,f6218250),
+S(1f9d4799,d02782b8,f35db2db,eddb1715,e75779f0,82fd59e4,766067b0,6072bda7,86680af8,c57394c3,d50f2d5f,aab5d475,dec645fe,c02279d7,9366c450,bd3806e1),
+S(c753e7d6,3dd4a9d6,384148fe,ed1a5f7f,1234182c,918dea50,2b44733f,d3f0c813,d80602df,ea4d0507,3b311a9,74be42ae,8e832f13,25790319,cf1a66b7,ac04c2d8),
+S(6e294116,8eb1bc8e,55a0f2c5,e26b8b81,d6ecd829,5bb092c5,d0384073,c294e8c8,870f2e47,e00b9980,696aeafc,49adac42,32e77a5a,f5945f2,2f148d61,a9d4dcae),
+S(eb2c36bf,298f419f,45fbbc61,7ea5738c,872df682,f537f965,3a58cab6,e38d2570,4619e86,3f2b9923,9709557f,932768ca,284ccf53,bdb9ef10,582d11e5,3e1afc31),
+S(6ec36131,e3a55bb6,7b95712a,45ca3c8d,fe85aeb8,2746457a,cded305b,e9ba4607,6160727,f7b6db03,ad31828d,4b04a023,b07f1b41,209f4689,f126048e,21e0d9c0),
+S(6825bfa,13237b39,277af3e2,1814e510,8fc51e84,abdbea42,8675ff6a,35881541,9f03c24d,c3bd1c1b,c45098c6,8f2ae07d,ccf7239,61c6a2b1,a3466d7d,1afd035a),
+S(c8757c03,ce5f4fd2,2fc61bb2,e8f699ae,a733d64d,145c6fc0,58a68368,801fadc1,6601f2a7,e08e1249,5509bf1f,cf149459,928e5976,d7469e0f,e2e625e1,d9c99b0d),
+S(5c1204d6,f1ca66fe,91b4cc5c,f2895ee8,2edfa489,a5b97205,808d9912,1e24a6b3,876a2e11,d790214f,d52fb598,ea7113f9,9ec08052,ff09035b,4169316c,82ba7122),
+S(e0c03a38,9c612205,6b9688a7,edcc3869,5cba30ba,9038545d,33ddcff1,5f9b697e,4c0ad413,7a6e9b87,8ca914d8,31aa0371,d1bf770f,b73f1cdd,3d4dbd9d,d8fb4b21),
+S(79c75424,ba72a99a,22802f65,56110084,e8adec17,355b2e8c,d2e7f8d5,13170cce,129eb5da,2ff02b6e,1fa41283,39ef9fed,3f12c606,bd55ccba,5809375f,dce59f1a),
+S(8d73db65,e37a52f4,fc2b038c,56d8e371,450b65a,58614369,e1dfba92,2dd451e8,84458df6,859fd26f,ac74fda6,e7105d27,25b64fce,c4d86e9e,1dff0284,1d051d15),
+S(41320642,e7de949,fc8fd03e,1b22a2ee,421bca4c,ef0e3ea,40411de4,962daddc,134f4f62,58c35358,cd33ff69,69a6b044,b36faf4a,77fb64ce,63289922,cff7d38d),
+S(ae1b7bdf,21f2fe17,8a510982,f1d69a28,2f565cd4,9f3e6eec,d9412995,7b1652fe,6f6e9f98,45ad4699,a84d91b,9fd41a78,30b13310,c7f7a71c,9cdc4796,e1b33aad),
+S(1d31ff82,2fffbbc6,1c3007cc,dd133dcb,624d612e,5d74acb5,f8370a8c,dd332d24,9fc68745,ee1f3a80,82efddc4,a01b75e8,6ffa49ed,698ec087,a9373623,61ae9d35),
+S(f075d743,465437b,ccb185e3,c5456d2b,5546009f,79b3c591,d68e7c30,e5ddda1b,8c864d4,af8e89ea,8a1c5806,2c97768b,3e5b4c18,5f38af10,dd5a3d78,9f6cf73),
+S(f9b07e9,abefdd37,a567598d,a23dd08b,7716c0d1,94cb24dd,3c6d6218,1f5fd2ed,1ca40c2a,69b92115,68e093e5,14312598,92cac6f2,c4cdfe41,16f287c1,71b1ead0),
+S(14695d33,c187b712,c5f86b69,c0816fc7,cfd31486,e4fc0cd,b7042e37,cacbf5dc,9cdd12b9,c39a3237,c980047,e239b1c3,2b6145ac,853d331c,6f635efc,5cabaa82),
+S(989cab0d,803b6665,33b78fbe,377d8db4,e1477f7e,6d962a93,7822e811,cfddb013,12f6454b,e88fc235,cb5f2de1,92404327,8b03c574,47c14fec,94538b54,68014a92),
+S(88d1da3,4b47fb67,cbdb5eda,a463da2f,372f9605,dc0f0754,4a746ecc,a8409f4d,c2f2ae0f,38594687,7b814e11,333065b9,932cf4e4,1a6ea643,e6496175,4d46aff6),
+S(2c6d9e3d,67e3a096,687b6c5e,8607293b,883017c5,35ff1594,aa8317ef,5e2fb573,678732ce,d618d76e,4ef02ae2,49485852,349cafe2,c9a78360,8a3d2c43,ff6a5d1b),
+S(e0115fd9,be5488a2,e8383774,bf52b761,d75291e0,ce3d3fcc,aa642c37,66531cf9,49d36cfb,80e6ae38,d21be55c,3e885db1,fb773a3d,5c6827e8,7dc95ebf,9ac4cb3c),
+S(1e994028,eb203a9c,da816a14,b08a00e9,7ec4cfeb,e6fba4c4,37dd1e41,68ed7a34,d7f4af61,ad4768af,959313d1,b5565c70,3581c4f6,b04cc1e2,bf27f202,36a6c94),
+S(da12d2f4,1d60af63,a209844,1e5deb8c,1af51989,7a6edeb6,b8033621,1ac738c4,65561894,467e391f,c7de310d,fafa2ca0,c2d475a9,ddc506aa,a292d809,3272e70b),
+S(aa3b79b1,4c5c6e67,ebbb8f7c,d1dac8a6,da3df0f9,af7c548d,ea0dc6c4,70830532,27a74ddc,79f6cee9,3bdaca0b,833637df,bb426cb8,58ad93e7,4fc1e285,87857cb9),
+S(a25e2e8,942e3353,4a36ecef,62c71508,6f1e959f,627287d,f0e7dc67,6457acf6,3383132d,2ab2de4f,890fe37c,74b3253c,fee9265b,e2ef62c5,a755af61,abe00463),
+S(c8ffe7ba,62d8ece0,843bd801,6c8043db,2e71d0a4,f91f2eea,7503824,1a3e67eb,fb507024,6a0e3286,8f6f6e67,7161b822,ac9d1aa,267658af,895cb9ad,4d94586d),
+S(3352b6ba,380ee90d,d846c6af,ede2a9d6,de4d082f,46bf3a18,dfab2943,409ffbf2,fd6036e5,d7b2ff57,376967a8,42bac428,203b2784,4196fec8,64d8ee42,b7248472),
+S(2ac42896,c815a831,a7b2d28e,af6a8c3a,803977d2,661fa36a,11143a43,7d179d55,2cc1490d,70b9f5f5,96cc8294,41fb5c43,44566d5c,77c651a2,34ba058f,b4b05823),
+S(ac5917d7,64a4dd2c,a5c1db3a,75cf56a3,4a695e8c,ddae8c0c,74594857,cd48986d,5958f85f,f6794368,294d173c,14937aa9,eea64dd6,80dbb96b,c3e7b855,a87c92df),
+S(c79122be,5424c0ff,728368c3,a0ef6ecc,3026bcd4,12ab1ff1,e3443d7b,dc2b46e9,2abca3b4,be4d53f0,40fb7d0b,3b28f4f7,44e4a96f,1e1cdfd4,cdcc7276,30332dae),
+S(b3015fcf,1577fc15,337847a7,2b6c9bda,a7d6649d,711a156a,499b5e67,4e6a8ce0,2e826388,be577c02,f2fc3f2b,ca4f1ecf,546b75be,3373134b,1e440319,b78fa759),
+S(b857212,b941cdd8,6f80063,3167a5e5,7d6fa385,c7ed08fd,9773de0a,4a481af8,aeb5aff7,329b6227,f614b8ee,1e2784a,ec5432f8,86d29e35,916ca3f5,7b901ff),
+S(18f3f92e,a869ba6,9f64ec10,6e42e4c6,438504bb,709734f5,eac1a97,a418c23e,a9d95cb6,dbc06ba9,cf35b953,b0426ca5,167766ff,a533d47,bf40e55c,9e5cca00),
+S(b6cde393,b06eb82d,ac45aa40,b094dd08,1a7b4bdf,f4a6caa1,7a1a2d9b,de336e60,81816d39,5db23bf3,9335c483,a50ee3c3,710217f8,9365a04e,1fc1cd49,20fdb244),
+S(42ed0806,c78c2d5c,851f134b,341fdb4c,949c74c9,7522e681,81423a0f,64a6f1e5,fac85e8a,7151a4e3,b7b24919,828153c,237bbfbb,4a49607,a70f595d,9535d66d),
+S(bad68afb,e1931a,63231202,69b4fbd2,a5b84ba,a951fa56,4ca07bab,d3160199,1b19d063,7e89fe43,894a2c4b,e8203e1e,cda6ac9f,f7e6989a,b1581d81,8c1f7ff1),
+S(74c6a877,29197f39,c253450d,ed7cc4b0,948f1c05,3c91d120,668f09ed,f56eda31,e3a383c9,b0bc99ac,1eaaf1e4,47d9a088,e772095b,8a30bd75,dbb70622,44f46d29),
+S(ab75cd77,a5800af0,9a2b4ed2,fdcdb6a3,d6b32076,ef5d9211,8dcdb4d6,acc25547,dabcf737,6f03afe1,6d2e8dba,e7634bcc,1cf0302,7545c57b,dbdc97f1,6bb1491a),
+S(1951f597,1bf190de,295cd417,1ed7fc0b,6938e031,8403dfff,10434dca,9fd7b7c2,321f12d6,b8790ad8,2a956947,ef0a615a,76b6b678,5c765d8d,e9f04cf3,9961604e),
+S(3095615a,6dce993c,646b7e39,1fd86117,82ee418b,cad9c9e9,413db342,45c76edd,9745ff66,fad21c00,68699f49,158f578d,b1ec962e,d288e008,cc667a95,95513fa7),
+S(9b2a6fa,60b7fa62,f0cb6c41,91f3b7b8,fc0d549b,98520472,86abe23,4cea3c1d,4763f538,6bcc3b22,4bd2299b,92a10572,7a761b3e,709ab6d9,dc875615,43baa2b7),
+S(df52e023,92e2a319,cfea1f52,c58a1039,27c14e64,8eba846c,faac077d,13493c3a,eaf8a802,9f682f59,295d3d,d44c11ae,537442c0,ac61e6ad,1971e975,5f1856d5),
+S(3cf08be3,65e6164,6dfe3e73,83ca54bc,ae2e1b36,522da9cc,accd5ea3,4de03f45,d2eaaa72,8b2cc3e3,75bb14a4,4f52aa90,40df35b6,282c0b0c,df8c3a7c,8e75b435),
+S(e7d92472,23f321d2,9a327ad6,4d08549b,e38a216a,d9ee8e1f,7dda5956,c65eaef1,d0cd5049,fae4996e,362efe1,f6019de9,2b57c8a5,fdd17a3c,a9cda468,e6a5e5d4),
+S(fe851c52,f05568b2,ecbe964,bd80be47,98414ab3,c20fa0a6,d0b114c3,8ff6afa0,3170ce7f,99584c1,82fa6cf7,47197fe5,7f7f252f,e21a38d4,cefa09e2,697427ef),
+S(993a0c6b,10fa1b82,8a3e72d8,89244094,cc60ef72,7f9f4758,53f09161,fda8a1c2,51be5ca1,3539c2c2,7a1d395c,3d89567e,cb218a99,3432a424,96ea7e69,95a6fb51),
+S(ec46aba7,a6af89c2,7689933,2910bdf8,87362c46,a2a3dd0b,e1e6419f,8b2a2036,cca7634d,1afdae1c,d764d553,80190aa,96a5f444,70db8f07,fe59d460,c2a04380),
+S(ac7188a6,8ecba28d,59c786e7,e127335,c332697e,2980fe52,ef3dcd2b,f8227c6c,e7ced64c,99c08050,fbcec989,89f99a7f,faf89fcd,2651d291,66f40c6b,3fba82d),
+S(27e6baf8,f83129e7,14858346,ea158821,c474fe2c,fec352fa,61f00808,e662502b,84fa023d,3d371686,db30f0fc,65491b6c,d7a5043,73a08a5f,8d63f94,73f2cbfe),
+S(4deb11fc,8f4610b0,c9875767,704d48aa,d55c06f7,2712d577,22f48359,38acb0c9,1769af84,c88f65c5,70df086a,e07abe6,b1a5b2fe,95da770c,ca57e11,4c6dedd3),
+S(e2c30e5f,a831d62f,ce366bdf,1415fed6,574f12eb,c4ad36b4,d558081,eab8ca7f,6b76b320,252e2b24,a49da21f,f51207f6,cf2621be,992fe9e3,758e2abd,adafa7e9),
+S(293bfb9d,d46baba6,8cd67e75,35e944f5,79690edf,4d17bdcd,2295d044,be309644,8c3777df,a3f4188f,4643b137,4cbc8d53,6fae283f,540d18d,514c8162,4b7af701),
+S(adb8b1ad,d80a6120,e90ec376,14f08f81,b668cbbf,db85bc8a,9fb76881,f3feb2bc,7525e4c4,56995383,c9d5b8cb,b920130f,b9225012,a441eb5e,f6ec960,2181b070),
+S(a03cc251,b299ce99,ced67920,11eca35c,87ecccc2,80ca61f9,b35f4fe0,8828afc3,34e992f2,9a8b7e71,804c5bbf,680622d9,536c58d3,316138bc,77adaec1,1f0a28f9),
+S(e370ad9a,8a78dd7a,e7631e25,bc5ddef7,b5ee9fb3,449cc56d,3c77b12d,2450c42e,ff2d4db8,24f0f626,4f8c61c5,a3ab3cd1,d731ac1b,36503024,61f7c333,d939715a),
+S(e7825767,be268da0,958756c9,c10a7f5f,a8b90b0b,f9279530,d5d60cb9,3cf9a782,e8a54111,66446979,5ad4be94,31d267df,9e471de8,9c2f386b,ef52c14f,85193030),
+S(67768f1b,a78c76df,4f0e0ea7,ce2faf8,4fce8e5d,d43707a1,586354bf,77c5d369,a33cf627,c206d44f,79e3a473,a07051bf,202dbafd,cb74735f,1af2c8f1,27e4eb4c),
+S(3c2296d9,a780ada1,a795d3c0,6bb3cc74,b00a7232,5c244ae0,57cb18d,5e0b8aff,bcabc5c5,2e1260d9,b14f9ee9,70b098f2,edd5163a,65b204b,fecc6a00,cf6c7f62),
+S(c3ef3a3c,da7d376,2b128546,c8402603,7aebc362,c2a4d869,f2583418,2d8c8109,207ec4c2,6673447b,8d899e7,62104c68,3d0dba18,ca98c373,432cda8a,a6ffd6a5),
+S(1d97f529,2fd92440,7fecb4da,a0baefab,15670b03,fd635cc0,66c078ac,fc35b80b,4457ef24,3b6c9e3b,e99d7a01,9d95b706,fc2530a4,7a88d11d,ee4083c2,fa7a9e69),
+S(22bd1fa,eb1d343f,cbd595ca,f80a9128,c7b6371f,e5ac920,a31bd2a5,990a0a38,e2157272,a9ec6919,6ef17add,1855bdd,31097aa7,4e332779,9dae90d9,75155910),
+S(dd8b69cb,a32f727e,e5c7e09b,5c152bea,badfec40,8ff36c66,5a95f572,82dd7b88,f8024917,d1678ffe,52ba97e3,48e74c0f,2ccb06d6,8ac7914a,378b7e5,a86dc3de),
+S(2b3da42f,b0ffbe4d,69143812,a221f92e,496d381e,a420efb7,944fc66b,ee5eccfb,9299b809,47c26fb9,b5a3f004,7041f494,ad665c1d,ff304479,9fe0dedb,4ebdadfc),
+S(98d2a44b,fba2fcf4,5b33a605,513d4c0f,8c036bcb,555f9142,3133be23,7e616db,70f5bcb9,b499ea99,aae3b8f7,f33169c,5af06f3b,55dfb8a1,623d7a2c,d54b556b),
+S(37c7450c,933b1e12,8d4572b8,deaac8e0,80bdb588,ab90ffeb,f0d6fc37,2feb2219,ad0cab20,39622393,5d8a8ee3,2198ae9e,950be80,12b5448a,bc030b42,71920b32),
+S(d8a2d303,8a0b0bb8,c85b0a07,79a88840,166babff,ec651b00,15c37f89,f11067e5,18200caa,7e7a67cf,e5c720c0,ec1f8ae0,ac083011,9ecced1e,b78802ab,30198d13),
+S(c27b256d,eca6b591,c1e0021c,3d1da818,8ed96783,11a90a0d,41396932,f9214a5f,d30baf5a,3c64f47,4ce7d705,fa836a89,9161e75b,a0cdfee9,5f03c559,78024cdd),
+S(b00215c5,b93cc894,c508a613,20debae0,58a3e4e1,d826e3ee,cbd168e0,384f82aa,469355eb,844e6608,7a390fcd,f43372d5,37389f99,33d240f0,3dcb0b6f,3476f0b0),
+S(da646c43,2f525192,efe9b58c,5e41d190,f5ae5e36,9d8353e0,21aa9ff4,15a663ad,742d960a,863eb936,50a84bcd,5d4a1d50,d1243ccc,77698fa7,9135a351,fd5e9864),
+S(381abcea,fd9ecec2,897a543a,d712bc1e,39a76062,b2d34ba9,8c06e7ba,6694a9bd,813cfc4f,a40bc405,941ca90c,73648d66,790e7925,31a6e64e,d432287c,24fd7891),
+S(130361a0,1be7546e,57ce8b7c,c97cd06f,db4d2498,635821e5,d05cb8b7,46e7ea7f,448b60cd,668facba,4d56471d,d492e529,b7e204fa,778ed89c,b9ed021b,bdadd193),
+S(95df1d44,7739e3ac,7e958445,1b269507,8f32d917,b512e4e2,fdb143fc,465ed004,5807bb76,184742fa,1745feb6,b3705ae3,283066ff,fbd0457f,720d2a2a,4931e728),
+S(d9b612a4,a3074698,e06b2c4b,bd27b668,8c71b874,6808d245,188eec80,73292c32,b7e771af,3ca2ef2b,e3d82568,203f0a6,3e8caa73,d6f2fc32,17ad4b53,bbf6bbf0),
+S(c882600,f804cc50,6342436,10b79f56,7c9d9276,948413f8,889a6bb3,fc16cf79,835220ee,694bd660,ff321b3b,d931d082,f6efba84,dccbef51,37492ceb,3c03e11e),
+S(8ae9f886,4415cfb5,cbb8b67f,8076df4a,19c0aecd,82a63f66,ee5d1a76,1ca3ee6b,4e24aebb,1b507a13,fb1f3f33,7059794b,e81c5f13,4825806a,e7da3723,8be7c7e2),
+S(70558a7c,756dc54f,337a3159,aedddee5,fbe3ffcf,5ebe648c,9d6c4c42,e56de4b2,67959da7,f775ca30,c942b87e,a5c7e2aa,5ee64254,4b600134,493fe07a,47a3ea82),
+S(ec4bbb6f,6d88f798,832c4b59,d6e1ab57,fe559818,a2ee858c,e4273770,81c46b46,55933669,59789697,ea826bde,7929720d,6887bff7,4e910b3b,44bf757,a2cad075),
+S(e7f069e6,abcceb3c,30d28256,50e8a469,3ac693a8,6ba5b120,fc827400,9f737e9f,2a9dc479,b3a7627e,3ca49295,7598d942,34f4bbf0,304c34eb,cfbfb662,1fddac1f),
+S(54b175ab,7c18c090,2f0f97cf,4444f362,3916122b,1767fcf9,ec576ca7,5a2617f7,b5cb03e2,9a829c80,81f16888,3adfe85e,917e6525,8cdd4f0,cd3fe571,7adc6436),
+S(da20f8ff,2b64cee8,7572fea1,21f98044,57bafdfd,3b1ead53,6fef24dd,16e08c2c,6e1898d2,b7482032,6b299591,376525f1,700ddcb,8e2c8057,40ff9327,2cee5bdf),
+S(55244d3f,e177f889,3fa2e982,6ae89927,1b0bb5e0,f3764941,95a9e90a,8d1367be,abf46ed0,93f617b4,85d7719d,b4878968,ade00c3b,7c8dbc70,c21561f4,90dd3b4a),
+S(a2c59a7f,d001bd82,48813d66,2c6ccc24,ad815cca,89ef749f,891a219e,956e931e,fa61c08,4a0a648b,5307e771,28a58d14,4d1084b1,58f1f824,f3d96d,d091346d),
+S(d94e65ad,9f2cf491,192e5d1b,ce9d42f3,14c0a724,5c3b351c,f2ba3a3f,e70aec21,3d503a0b,df638ea7,5ffb2886,b3a9d723,2c427fb,d4921c4b,b1eefb86,2eccab8),
+S(eb24a84e,aad08175,13705448,36b99c05,adc0e7f6,ae871a70,b42d24e0,a6287c55,3c4e2230,208b5750,fdf24d95,83d94db0,58e65604,d555a0be,372a5f4,a39858de),
+S(69ca3107,a95583e6,c6b76b73,56b6a65d,2c45f0a6,194b69f,ec56efbe,289f8141,594001e4,46916b8a,9f977542,281016a0,8c8290e9,92e5e87f,fc16d49b,ca9f7155),
+S(f7b24587,a436adea,15f6cf87,bc065d18,dec084ff,6f6582f0,3782a977,515595b,30391228,a155358,4b1f8b74,da91239d,89a4fbbb,93635cec,bc2453b4,9f355331),
+S(16bfd7d3,572a6fed,c10a6e8,f6ffe3e3,9090448f,71884026,f6a16688,5f0f0d92,17a933d5,f2b3ed3b,f09927da,25331207,31a30a81,93681cb7,3bc0b2a0,c0b7f436),
+S(dec8fca7,95baf9e4,379aa5fb,777777bb,178e086,1a738053,17f8d676,5cbbe9cc,99f2da03,32b83f9b,b712732c,e9b7ca53,b7bf6086,46c7642,620fc738,6b74343a),
+S(f6b5b4ea,ba3f1b89,d399f6c0,eac8abe1,88a9cb21,9a9d4d3,7b578447,62f3956a,6cda2c16,8211c18e,8722e689,70fb9a23,54d09606,8e104c7b,5a6f6812,fb854a25),
+S(2f547664,916072d9,2754da2b,556fd3cb,d9b67045,4bece334,960875f7,df57559a,c3c27849,64cabd54,6487f05d,45544b4b,bea58b16,e2a2e3aa,2105cff3,c8d0a5e3),
+S(b98cac11,e194e80,83d39bde,8b28103b,d09bcf5b,bb163b78,33e00be3,3f52779d,dde188de,3763488e,7ddf8bb0,12291cf,848fc21d,25ad040,6217a8ea,e1fbe6e7),
+S(1fc36f4c,99b540d7,a74dd2b6,1fd71f1,b095343c,3d7856c6,6febff21,b5c61286,6d165f6e,ed6343f,36dc761e,63f6068a,1a583086,cb76ad6d,a6996fd,8fb303f7),
+S(13cc7352,2006a383,356e7378,cbe74e7c,873e1a8,c96f437a,995f5549,616dfa5a,f73ab51b,639aeff5,ae8deaab,e5fe7dc9,fe8cc203,ec66f16d,dd789031,6da8f614),
+S(a42b8522,d7b620c2,8011137a,76719fa1,3066761a,7a612946,60c9fb3d,e37696e2,e0163b30,5f5500e,74bb9e98,c7f8763d,4cad602d,d01ee3ef,404899e1,1df9111d),
+S(ad1e64b2,63b364e0,477657c4,33601197,61b2efc3,87c5b2f2,71befc20,279ca300,52e1f8c2,80ce5c76,70533ea1,4a8d75b9,e4e0ad6,199cdf0c,c570daf6,469e0a17),
+S(b25ac32c,4406382f,6c28a12,f4e1b491,d7cb9a6e,2f03cbbf,46c26d95,d70b6295,db173a50,1d02a785,ab98ab65,2e814ec0,fce3ae92,e3948610,3141a844,93113f11),
+S(507ddbd6,2908f782,9bd54ac7,948cea3b,ca3f5551,d5fa0b8,736ff2d4,a38440fc,76e3189,b588462c,93de2716,b5d79d42,8339a81a,1bc2d8b,e512e33d,5de5ecf8),
+S(c300e40b,425d9391,4e2a8624,830f119b,3adb2e8e,d90f4873,46dd02e5,1ffe7006,b588f4f9,e9a315b4,1bc6484c,3b0cd1a,de816262,80f14767,9a1c3b31,1e48df17),
+S(19d029eb,114bd8ff,952307f5,1e04593d,a4936127,dfc72bd6,8767a462,36b31b6a,e56c64e2,b1f14ecd,1f7dc29,be51fdaf,d859d6cb,78c5dd7f,5fa0f221,bec715fe),
+S(b972dd3b,e3531c85,f1d9580b,8ba77429,747ad431,4c5a7947,3c54d647,bb93ba63,b1076055,6464152f,c5477005,fd6b4ec0,e8a73dc6,63fd6622,ffd31170,5ca7af0c),
+S(148c6a57,f606ff5,2489a1e7,df84b1bc,11ef7b68,9cdbf0f4,f583be09,db595b9c,308e0362,2a681b0b,308f11a0,71742e4,f501d089,9f190e9c,239689d,2de198d7),
+S(f8eff5a8,48a0b184,768135b,8c159bdc,ba86397,c38a2255,dd6bc746,549521cd,9fc518c5,d2bc6749,8fbb9ac0,8c22a070,e948321e,3b11473f,b96a67e1,2d788e5b),
+S(61cb5332,ebb1b0c6,badb58d9,c15b8b1b,8c5b0a95,601220a2,a2fdb007,325b4442,fa90f15b,e1636b62,72ae71b,5711b43b,53580f04,86b6472d,e14737b6,8267242f),
+S(9ad91194,210d4acc,b4f2fa3,f69f9fe5,707975f9,99f3e40a,9b766e7a,ae570b9d,bd770b3a,e6f6ccac,9d0dd1b9,bb5c451e,c27a8d0,ce02b491,a6c40afa,86067ce6),
+S(d6985c89,71c21dc4,723540e0,9901194a,a898c0aa,33c4bd7d,34d74164,cb46ee8a,3c62000c,c8969f08,2dee7159,df6ce660,89e13b1,9c71674d,fdecb469,5e4eed89),
+S(398e5cc8,4a90fcbc,1af56815,d56619e3,74e30023,9f95ed2f,3b0c3d32,fd0657d1,f82f5fe9,99c25624,9ebae25b,71946c98,b16cf462,cdcade65,ad22c608,7776fd49),
+S(d5b3aa26,c2400d25,7032782,b35cffcc,902fee32,a28fdda2,f36eb3c0,1b19ea86,3f3fcae0,a7f0956b,2ab41211,a8941be3,358b22d2,1eb18b0e,c0afbf38,95e8e17a),
+S(6f6e1cb2,3e212a5c,91b91407,7c90d465,eeb3c46e,74addbc3,ed228a1d,8fa201f,c11432fb,60b782ac,9dce6e69,e8a544e4,c5676f36,7c959239,c4dbf548,610b0f74),
+S(23eaf533,24bda09c,ccf5edb0,8d0b5904,6c42f17f,12f64c81,54b884d2,239239e3,87aa0fe9,c37c0150,95ba3f68,96ea597a,a38f5a68,d8fdd6e9,a9eb4aa0,b6dedc57),
+S(639f2502,a5f0073f,95352a3b,63982bb7,f215e0b,c80d3f7b,fc37d1b6,2ea89e18,a93481e3,8d78e490,6fe37f44,a198b85f,c6246f0,50d17193,f01962c3,c9351b24),
+S(1e78e21d,4f696d89,b0b43eb5,e5d8cb03,46c9d030,65a4ee15,5f81ac27,b8fff65c,3a8103ce,e0d7e645,69e22332,911728ce,20793c12,c7d45b0f,3d840641,11221f8b),
+S(1ece1fda,85a726ba,49bc7ac9,23e1599b,b070e8ce,134858b8,cb4d714f,2b539ff0,dbbc6f14,fadb9d5c,559b3b2b,df070bba,11d8777c,b5526bc9,ac951dbc,9815863f),
+S(e49e79ae,f17ff1ea,b81e3c47,97310952,6dac7ac4,ecba2a57,85696de8,279af373,92b0fb30,368189ef,dacf5e40,1ec4dbd0,a4ef28bf,512167bc,42f63cf8,a7f6ba73),
+S(ce0bec53,1c1eaeeb,868bd283,9b37c225,fdc90d0b,d6d82e58,20516b7b,9c9b81fe,9ca80cac,80100d58,68fd1bb9,b174b0c9,54d17492,12ebd194,5bbd526f,6f842b97),
+S(df282fc1,b4fba7e4,fd75af57,805d93ce,af88590,3b57cea8,38f5edcc,2e7efb52,27487ea3,77eebb18,699eff2e,66909c2d,9daf7f0e,32e13ac2,17df0d1f,b8701c33),
+S(e82d0d6e,29b68dcf,aa8ebfb,4d8d5f70,2d6a91dc,b10c5c3b,c7363360,6c937510,ce1dd596,232791f3,7efdfb4c,7da518e4,c98e8f02,d36c7230,3cb3c52,69bdab85),
+S(cbf085c,5316258d,6cd5e721,b613f97d,7e22cac6,2b832bd7,e2830f34,2f748f20,a5efaf98,97cfeebd,b07bc80e,417e73db,bde10972,57684543,151c1940,a92f7e68),
+S(dfd983bf,84da8670,1a475a89,66569aa2,59c36fa7,9a5f5142,fa62cf34,105817ff,91973764,28e0cd11,11b8ad8a,5f41d6d0,3ac5b930,5701d1a8,d621da05,16e6083e),
+S(e89e41cb,5dd179e2,ecb2a48c,af7f3dbb,d4d9fb3,78eb0822,6652dfff,593266b6,7dcbd3a0,765dfc52,8244c19a,df657719,6ed46b1b,2bf62042,949f0f57,df872d01),
+S(20b45025,780c01e0,e8bc2899,7f59aac4,ff9434f6,bf4ac433,39096769,f3e360da,4bec5654,5409a944,c68f0942,a1fca7dc,aa89a2a0,4ca9d6b9,b325eb06,9f7bff95),
+S(ec4820f2,955c17b6,81381e12,8acbe1e7,75669f02,8517dd41,f4723d3e,64d75bb2,41ed16b7,5dc65672,eef6166a,b86a419b,ceddf23d,d365e63b,578388ed,bc6bb8fa),
+S(b15cf70d,523695d9,48dd1f7d,2f2a12cf,aef60bfc,93a79410,2678ce11,c4233424,63b11e19,1335490,8eeb94c,6bbf1875,f867cc17,a599e83c,2aaa4553,47d549fb),
+S(d9e85a98,5cb2dc07,790b0db,1e5a43b2,a51b882e,846bcc2a,8c2930eb,efb79f6f,482abc51,54846788,1b8551f5,e0162ba8,3ca192de,1ca4ba97,19ffdb18,57583b57),
+S(6d8dbc0,cf0b7081,c03e9bcf,16dc7445,3c9eec0f,d21f82c8,d05c70dc,bf61db91,ee91fa7e,4f5f59a7,5841d903,ac0a3f0b,68c837d3,aedeac7c,bb9576ef,a7f7ece6),
+S(b12c9714,2b5a8ef1,cb2b0cca,9316dd0e,7969a2bb,f7fa34ab,4cd412f,dbc500b1,690c027d,e9327f7f,3f761509,c57a23b0,b2d7cbc9,e5392472,8611ba10,7e5a8e61),
+S(970d6bb7,2dac2f5a,7588ac62,31a7425c,aa120592,80f4cc54,19b55126,ed4f36f4,3f541ae8,2186eabc,562d3e1f,7492a8bf,68e45210,9e5d9ed1,ab59aaff,9dcbc58d),
+S(41605872,337e0cc5,f9322c5c,a4dc3e81,40b8bef3,b99c1285,e0b5c53a,d08d25bc,3a52bbfb,d18d532a,53187d3f,f9140aca,38058be8,ddcafdf3,83f4204,780fbb56),
+S(4889a88b,7e9a5d65,bc564fa1,12a6318e,564c5e39,4be6c4ef,875e79e,f33358e,e0757939,a788755d,c54469d1,3e82d9e,a9502478,3dcc51bb,8856c5d8,629b1da3),
+S(90ac2fb5,a463523f,ee81a501,510874eb,ff69456c,3670decc,2d14b3dd,a1bc284,b6f10a6a,c316af7c,dfbb3b7c,6aa30846,10b2f44a,1e415fce,d67245d9,72d2fc63),
+S(9286dbdd,9477d600,ba2a941f,e467ee8d,9a7b114c,dc42e488,8648854e,febc5a1e,5ef9e3d0,ce7f522a,c5a1e46,5281bf98,a63623dc,f300be6b,d01df5ff,6661c68c),
+S(6b774b76,50623f6d,cedf0498,683c05b9,1de486e0,5f9f64b4,dd13b0ab,eea0c53e,a3dbed6e,ebe68c9a,86468874,ef2ef5ff,3142266c,756b48a,3314698a,c4a20162),
+S(e5335352,fca65cbb,8fa6e275,ce8a0432,d7ddbbf6,f8854e4a,371b07c,909c42b2,30fb3def,31c8bf51,8e2542a7,83736e7e,d87f1c97,70465120,47faf3b6,7764d77a),
+S(f87c5b0d,a8edd93a,bb33e606,1fc34377,54a236f1,44bc0ba6,1cd26f91,86ac75da,92434741,af204fee,a03027ae,1ee5eb45,82769d1b,c264472c,dfdddcbc,50065424),
+S(dd9d3fc2,96eda501,3886376c,88af214c,3a4dfc9f,eed0776b,287cd32a,2fddd2fd,32e630b,2da6114d,f09ff5d2,eec619e4,48f849df,399e5e4a,e802efc1,dcad04a6),
+S(10108724,51bbc5d9,b045666f,fc45ccde,c29b3a10,60ba8d76,5fdd1f5c,1dda495e,c86404db,ff9aabf2,599f6c35,e6a8d7f1,2654844d,add8c787,86158faa,b10b5f85),
+S(22f7f223,9c8fedfa,cdfe80aa,84477ca0,df289636,2f055eea,3c63bbe5,58443a98,661ed060,8413a4b8,775b9916,14d848d0,269dc75,4d2ff2f1,b4a18fa7,ef0e19f8),
+S(9a1ef62a,7567f9d6,9d45edc9,3ecdb7a3,1ee6793d,a2d387a6,304e0185,3416ae70,81f8527b,4c9fafa1,b2fdd185,57998861,4f6ea270,463f8261,814d190c,80f93f4d),
+S(b04946f8,8b0c5fc2,13d215aa,53e3d90,df45d13e,bf7b665c,d41ebd3,58cbe5f4,2e92bad0,9b485af3,904446fb,14fe3624,c447e72b,41519297,133933d0,b6191869),
+S(aaf764cb,7db7d191,c2dd7061,c213b469,bc270677,7ae0ce31,b0a3f6,7ec26728,4c4f42e,5ffb9d8f,e0625906,b17b7857,8afbd773,834e40bf,c7195f08,19aca859),
+S(a236de9c,e071504b,e8108d5d,f5cb7ffa,d4a333e5,1afb1579,2593706e,fa04efc7,773f065a,227634be,3ec7d3b3,4ba462e4,d50f79ee,19541896,948ad725,c26bdc88),
+S(3794260f,302e614,aa700f32,e41a0ee,c772d549,58b11533,2b7de77,925d7cac,d1896d9,7b5e2ee6,9ab7e55d,83381ad9,bee1b87d,d3991f53,4bb67237,830e8926),
+S(a2436b37,7fa45dec,eda48686,e0705068,ea607b24,58482794,aae3345f,353f6329,e1da48be,8cc2c88,5bae924f,df1a328c,37f96261,3470a841,7784c4f,b965e05d),
+S(f9616f77,6a125158,7165411a,582ccc1,2317e260,89412bb7,5c2a63a2,dbea5658,39a790f8,111db9b7,f3b69bf9,9d0982c4,6d97a18b,c937e6f1,3db36ea6,9d7471d1),
+S(4a720ef3,9c907f62,720ff0f4,c5d193df,c9bd3613,6f49f72a,69aaee15,b3b7fa42,6ed9eea,cb95af1a,5b91bbe,27ccfa4d,f352a227,67a250a3,179f94e4,bee433f7),
+S(dea00421,c07efdd4,24749981,713c1c13,fb23f974,fdb37f45,35314d22,b75cf0b8,2e91b078,2b3dbf41,3de9f98e,e421ef30,bad6cb5a,b57e457b,272f3f46,7709aa32),
+S(7e14f09f,f55a0b2a,88518714,68340514,903b2ebd,3525937e,2b0efc79,bb1d7b41,30fa7849,3660b715,514b7fb4,5aa50324,a7958bfe,4db78914,966340ea,c8ea96d9),
+S(6536425,5ab57582,feeb109e,7a9657c4,dfd8fbf7,57be61c5,a769ae58,56ae990a,bee94b18,61d474d7,40674349,1b875022,8eedcac8,99835433,529a1621,bffeaab),
+S(8448e3ba,f77574f9,2bb731a8,d0d4d3f3,21531c7d,189ba5dc,2edfd54,78ecb11f,425a1eb3,727a5bea,478b82f,d9fb7c9d,b933a7e,8283e897,d1d21ad,2281d39b),
+S(d2ec1adc,1d30ab11,b1ba87ed,7765f848,5d097e83,3ffaa26,2eb5aed1,5778ec35,beda7397,61ff8a32,b0965b47,55c186a3,8d24e8cd,5dad81b5,4a106abb,335c3994),
+S(3b205375,ae0ddf7,c2dbba5c,9e14b5fd,e8899448,4ea0d82e,a939e1d4,f1d8dfa,bdab6d0a,8d1db118,785bddd6,81c3a402,460137f,f4f1c26a,d940708f,969df70),
+S(eef96785,6012f0e2,5934efe7,b9199255,869334c2,59a62384,f2cc4b4d,6f5865f2,1806efdb,ecd0588,17db47ea,10ed1866,6bf0e9c2,7a2bd661,91d92d1f,4ba0a9cb),
+S(9271ab48,6a17d2d9,c91ef3f8,73c74d6b,754bdfa7,67172cac,53ea741c,e101abd3,4ba3ed7c,1ea7d0a5,5c4ad38e,cd032e5e,782b69d5,3ade655,a8d8354,422de96b),
+S(9bbefe44,70872b67,3ce6afe2,43c32b8,e2409b69,b57f15b8,e1d2b4e,d0e760f6,a1c6f4b7,cab89ff,ea846bf0,20ebfccd,77e7ad4c,68a8095f,c9b56a5b,f57e4dbb),
+S(cbdbadd8,5cb42d34,cf249e78,1929bc4a,90977ed3,e6c7fb4,5f0713b7,3e3ba051,1b2a60ba,9f4f727e,c057d149,2ac04e50,42fe053d,89649be9,4fcff26e,8d3ba7cb),
+S(414eb1ca,a37e098c,6d4257b3,a9e22047,652e5c0,e4872547,7e97a2d6,b89151f5,27600f8a,b3b66f86,6e6a712,c8d2d557,736b9f2f,3b7be72d,2783a5af,35cdf7cb),
+S(be0e548d,4302918,60ac6c47,4593a5f7,169b3eff,c9d18878,6eccd511,e1f195bb,fd26af99,8ab759b,c9a83d54,6296efe,cb0faa62,eec5a7d9,98a0d80,e36a494d),
+S(ff38855c,7925713c,80c0600f,7cc3e60d,9aceb7d4,b1199d75,2a83a67b,6b1dec1b,e42b3d08,f12b19ae,600479ca,b593fcad,bf680fb3,da54a1ca,d072d1f4,46bb8989),
+S(157631db,883dc9ee,b5b3782b,fba4e430,9426acbe,5ed06fd7,662f06c7,c776e829,cad1de8e,426da993,4a8e573a,5e041952,4b3a01a2,e29049cd,c9439de5,c5cbc4a6),
+S(c758ec6f,4a7d15b,efa56470,1f8a2278,ed886788,1aa2a772,c20fbff,ed05885d,e3e80138,4758c6bc,60f10beb,7d75e7c5,d0a541af,38ddde3,b7c5f709,34fe0ddb),
+S(e20d3b67,cfb8226b,7b22bdd0,87044f7b,5b29a277,bb5286f,80093eed,69277e67,ce6a8a7d,c1bd236f,961610f0,15a9cda1,9ab85200,abbc6d0b,9a041ee8,9d97c743),
+S(b1d70b27,a855ceea,149c0508,2f88d465,6aac5541,aabe223e,4b13028f,10a2aff7,4df082c2,87170b69,88b05b37,1d4b5181,773741cc,70544f4d,7d3742cf,77884caf),
+S(f30a09e5,9c163445,5f231a0f,52d9e6b7,8c336b07,5f1ee6a3,bdfd4cc,1bf213fc,acb8bd60,eb919332,a405023f,c799072a,a2838dbc,7ef8d042,7417d61e,41c6b00c),
+S(8a615da3,f0f92f20,e8dd5ee6,23178403,ac0287a3,93173dea,1bba53cc,2cd268d8,bd7a5a1f,ac8d4157,6b51f9bf,ebd581b3,ebf470d0,43731e4a,4dd391f9,423d32d9),
+S(14d45568,f9b4e6ff,f8062209,7dd34f36,17d3fce3,e5357ead,baeeb480,2a43e7f7,25e65c8d,50296272,718ea121,cd5a1365,d134a134,fca3a5f6,324d7cb3,85f9f163),
+S(706f64f2,a7008aa5,d3eabb07,b4a3a3bb,f18eab6b,cf605117,c70cc0a6,280e2084,cce06389,bc03b45c,cb235c88,19639a27,5a78ca00,9e99978,236411bc,687c93c9),
+S(db4f0639,fdf573be,8d7d4f84,4d8f781b,51731003,24343be2,6c8805ae,fed3b91,bd1564d8,8abe4aef,dfe581bb,3673f874,38248b1e,7b11e019,6e158bf0,5cfbebcd),
+S(43e3c600,4f3cd3e2,aed372d5,60348976,f420d1de,95c70a4c,eadbfc9e,df393d32,bd09845c,429c91af,9e9b3441,321c68c1,888f8c31,15960131,85c90bd8,6b9b30bc),
+S(13192002,45d0e72f,e9f289f2,d9be96ac,ac2f1adb,37716658,700aae4c,91267ef6,864b391a,aa20047f,38308f95,e42f4976,494e1a35,100affc7,2d435f85,f936a039),
+S(752bff23,288a0554,7f048770,da6abe2,e70431c4,60a71765,40b1c124,89ae7383,aa2af83a,92ab2a29,1c5f89e6,61a18075,d6c3e8cb,ef6fc0ae,c283e77b,56fdcd5e),
+S(af0f3d24,25247b8,cbe6e377,ed72afe4,420a886b,aa995671,d638884a,ac238fe2,b7fddd96,86bcbcca,f363b3ba,ad214771,edb9a392,1bbfa25,870dbf52,a42e9622),
+S(6be310a6,9ad4a56a,cf79630f,e8767f0b,c986eeef,609eee6a,f1a34657,89c3b93c,2ac934b6,f549d51e,8bc3342c,9fece7c1,c79fc301,bf006cca,20e014f4,b1a9c768),
+S(a53b9a96,e9d44aff,ff7f4393,ee691d30,ca4a115f,60267b16,ce11027a,73a7ef1d,d70e70af,5e8dc02f,b3ad170,734e8b13,8567dae0,d73f9754,d6070563,8abfe3f5),
+S(e782675a,5a2dc77d,383e8d03,fb2b126e,5abcc07c,391e5597,d127e60d,bd33bb45,8342ae33,fac4979b,fd47d5,b9b40d85,db40f79d,42308ef2,4110b7e7,7dd842d6),
+S(eed988ec,3da0c2da,b7235b89,53ce7bb9,7ad8c4b3,7ccafe78,adf5f2d0,911a11e4,b86c5a28,fcabb2fb,4f1c83a2,77174144,b0eb86c5,aec7c52d,59b624aa,38bfff3c),
+S(86783a2,5ec820bc,44aa4aff,85212dc2,fb169f73,4b3f359e,844fcf55,abb2a991,6addad83,3d08b1f3,3640ccab,4a68f35e,6ab63752,9f562c11,3ec46833,66e8da1c),
+S(3304c750,d62d2678,beeb4c3f,55414ab4,f9507039,55da35a0,193ce243,503b1400,7bca1f1d,87c963b,b2ca8a41,c675b87,205af0ac,ce3d458a,e6ab5f37,fd000694),
+S(cd4e3851,b2ad955f,e42e24e7,c071215d,9c4cd24,d456bbb8,452aeef4,4312532d,850be683,bb89207d,62663852,e5b1a38d,d5ec8fcb,c11944a2,adaeec97,17db7bf3),
+S(c32114d4,d0c47f05,c31f859a,d26895af,8d46fe98,7565b2cd,ca7363d6,c07cf256,80cd894f,7869eb3c,7df5c5cb,279648e2,adad337,d4f80f5f,501b872,c8b7e9cd),
+S(ff6fc809,143454e7,bde3e327,bd7aaeb5,6e7c8c33,93137be5,e63b0ad1,87f3fccc,75aa0f16,ad2cebf3,b8c0be54,aa991dbd,83789abd,214e36e3,3b29f06c,226d0e9),
+S(64f9456c,b7b73a61,d9e788d,c31369f7,32d0e34c,5b763e9f,bfaf83a1,4890a8e7,778c77f3,fa3b7edc,afb39532,607bacb9,ed2aedc3,7734b191,ffb5b8ef,867414d5),
+S(d9e41a8f,2ffb8bbc,52d10aa1,82d9b0db,f04c0326,8f45d531,500d13c,e25f3d54,728316cb,f2927363,25bb3d18,15fd624b,53e6b442,693a29e0,8d2c98c2,ca524a3),
+S(b5a615d5,1241e064,81421f21,45ec55ff,c953769e,74f5c96c,f760d085,2551644e,e2889361,fa674a81,92358a00,61e7b210,c51f88ef,a442b849,d049ce6e,6e9f26eb),
+S(5a0c994d,18e62a9a,44358a14,791f4a22,457551ac,5b931fb2,1856928e,a00f15d4,5a706762,8f5ca41f,7df823e1,e27f26a3,de85ad2d,cc2598e5,d8238a0e,587176d),
+S(51deb73,6840951a,a0e44ab2,da2a62af,15aacfe,c2740819,9c57959e,10a03fb5,4a0a72ae,f05886b0,6c03b91d,68af04c6,818d5ca3,4e278b6e,d830833d,c15745de),
+S(5d967cac,ae97fb90,7f2b8da6,9768a0f,e8a56c52,e79ed9b6,ae4e9a0b,fd92e51e,d840c983,bae8897c,e443d9aa,874bfae1,7475d00,c0728dc7,5090400,47043ef9),
+S(2e71c7b8,e187f250,bd500b91,1526f3c9,154457e4,35085672,8d2bc76c,c82b8714,53d13e6d,51840bd5,3e8ddad8,6e6479a8,7b756d57,bf3e9658,c0c0f434,5da398cd),
+S(c45ddde5,3660689,113cab5d,f4e218ca,159273e4,db18fb12,d2d80397,1892e9b1,e3bfafe9,fce4db8b,a68a007d,f4c6174,6addc8ce,13b63537,472a2672,48f9203e),
+S(4792e0f,2bb7cc27,c44df3d5,b3dfdab7,319ee762,812ff2c6,65da6ea1,2548110d,d3fada96,78c437d8,5d9d9577,3e40ce3a,7cdfa6d1,3e7f4db,17e6502b,b17a71ec),
+S(ba662d39,c5c81e15,8ba7427e,8c0633fa,e8e9ef04,7fa408ab,3836a674,328d458f,48ee6efc,f0789fcc,901cd9cf,59fe6d0c,d3212180,20f90f22,682048ce,ca9f1138),
+S(be51e863,6aa87c9f,d348a0ad,a7bec639,2ebf2ab3,d4cb68c,680ef1ee,6cf6e806,71ff99cc,7f6cafa5,90bb218a,cdd62880,b19ac007,8f171c81,876370ca,affaa70d),
+S(75bac33,bd6578e7,c1afb10e,3521cd97,a51546e4,eed4ad4d,e70d5348,755003a0,5d700b34,fb93c9df,70f0961,bf5902dc,c51c6ed8,163e1fa2,6972e474,9b6da1db),
+S(d7647193,14152aa2,98572779,1d1120f3,106a1397,3b964b93,8149694a,fc584bfd,6fa6bb33,a75c0111,cd6f1b89,177b419f,d361676a,93d0f7a4,61c6ce99,e667d6cf),
+S(9ac1d334,59882a0e,bce90ae,1a404f61,35e9465f,5be0ebbc,61a479aa,f348800d,b7195d60,a7f4141d,145fd1e0,a5e58305,b1610ec3,4f97b09f,d8a8e57c,3041f05d),
+S(bde59b,e8de3bb3,cdc7f5e4,1743a489,eeb99171,a89bcba3,5eae33f8,cfd94d2,208b222a,5831abb,e5f343c6,761343f3,211078d6,ffd59690,9fc976bd,86f6808c),
+S(58f7e872,6a34f41f,3720b5df,38a3df88,58d2238d,e60a88da,d4198326,f5e37ea4,13f8cc5c,ea43a637,28c5cb5e,b4fc5381,d5618b4,477758c5,4dbce46d,ad7f433e),
+S(fe6d09b1,93d1a7c6,c5d5f6f1,522b63c8,aa257503,9add5cb2,21d5950d,3c4bec93,eb383e15,24f52785,6d8535e3,c6f2f8bb,deb71907,b6151510,a4839b05,7e3e6dc5),
+S(8cca7fbd,d0a041b3,e196b08,353c704d,96db3817,29d42f4,513ff5,467ddd0e,23a0dcb7,dd044a24,cd9202c0,4c32cdd1,fd25c979,b0a1aa62,67bc2321,ce7a5f1),
+S(a63de000,cd76bc93,7515a124,a334719c,bbd4538e,9d04791b,2b0de33b,bedd2bad,4afe72a1,d26fbe8f,8f3951dc,1dbecff9,c8aaaa9c,bdfa03b8,a6c48cf5,764f65d),
+S(5a42a678,c32a688f,e7cc9688,9f93078,8b5f0126,f1eeba7a,c585b1fd,9f97003c,4117bd18,e961dac2,d15be023,6e1254d7,eba89a0,b4ff95b8,82bffc4a,7a375f3e),
+S(3c01ac6f,1ba11409,6817408c,5e6191c7,d401f258,f0345c8,6b0c83c6,ead7ce90,f39943df,6465cc6f,792a99c1,b2c97727,421fc8ef,11b2cb9a,cde28709,628efb9f),
+S(ae63ac2d,78e0ef81,312fd73f,105d8ecd,8d5777d0,75d06600,da8f5b4e,3e20a8be,50ccbedd,e4d4241b,bd62c0ab,68b2322d,c0e55c28,c8f71ee0,40dbfe6a,d7e33d9f),
+S(c793575f,b3ca9516,945bc82b,aec1114c,5d8f8e0d,7cecaac3,31e209f8,22d01044,b2d3a441,ab01f822,366728eb,dc843b7a,82c82175,fd4ff08d,700a2018,48766b1d),
+S(e6438209,26baa22c,e33b1588,1b5c0192,b14e72bc,f162f04b,5e6d5941,8053e338,90989550,9fb4a05,741ac6fe,bd4b78d0,15710c50,6c1c3adc,955604a3,1907684d),
+S(5d9b21c1,3331d32d,d7827982,6d41a5e6,8ae70be2,b9d5f346,a82b8ec9,aa559323,6e086fdf,95f4a998,66b3f471,f3c722c7,4da8c7c3,1fd65705,68cb434c,1427e5af),
+S(81ab7527,8cd4e683,f127e7df,2153fd93,60bd2f07,32a506e8,55f60082,7fabec86,cff8b01d,24be6850,6e068910,55a5125a,ab7a554f,81e5e8c6,78348026,ee7248fd),
+S(4684137b,1e19dc84,8a521ed9,e6aa7747,548535e6,6b9fc1b5,a533c580,e7546317,8c2f57ae,7f42873d,5e3ed228,a9276a9,cd684c42,c43113e5,b465cf7d,eef75911),
+S(3844877b,e43eb3e,171f614d,7a56aea1,4615ce67,b09bc928,b6a16b48,3c15639c,a2e17211,48d95e9,6690d982,4a7bc84c,c3f0388f,e54e2546,9b58f624,c3761634),
+S(d4246638,80a8efb2,99d3d73b,4efd73ed,5bf70111,2b5cde7,631067fe,2b9de212,b98986a0,229fe086,c91b2a3b,4373411f,baa31c98,7f475ffa,1c29ca,93d4b80b),
+S(515b8ec9,650c5448,6eab830b,4ee0bd7a,4525c8eb,19520c3c,6e6a214e,a7861c47,a7b12837,51812bf5,c37bc48f,ce08de95,94e4d619,18726c31,57bd660d,80025185),
+S(4e499a52,6352b7b0,3d78af31,5597155a,eb4697b8,14ff1d5,93b9b838,6efaaf8c,bd4f5e6b,dbe5a232,c42b0ea4,e55f507f,2ca33587,349b1f0e,56a25820,60ef57d9),
+S(2c9a7cf1,553e2593,c455a8af,9b12a0c4,26d579ec,6a097483,a7274edc,98dddb99,99aab288,24298866,f0f42672,395d39e7,338aee86,35c4cef4,ba45f067,83c8c8ba),
+S(7d5bdb5c,fdff2871,23a9b78f,3ce189d3,ac50fd6d,fc49bef5,953ad197,8d27b0fa,c76a17fa,97ffc25c,8549d7b8,f01842bf,34afe80a,27be4c4d,fdd68229,2dc83ea3),
+S(fb222262,444d6db2,43abdef2,9e0ce41b,818a177,db630c50,9340eef6,24070256,8a42ddcd,a7405cce,9782e8a5,23ab108f,3e5be176,49910b24,c8084253,46b8596),
+S(b3212a32,2e415360,62622dfe,43da56df,4beeaee6,b8b5e783,df514a7a,83eed60f,c9396626,6dcc8af7,56efe8ca,e86a7b28,4b2e847a,8e571911,cae76e05,58fe5417),
+S(80c90758,1ead4640,94ac1b9,3250b9b4,caebcd74,582bbf20,16f013da,1f4f01cf,d42a5504,c5be0a40,e7bc4242,32a9d703,58370eb5,a54be08c,93f43a22,6e5e6ad5),
+S(50d17433,50bcf037,a310a05c,59adbac5,e2fcda09,3aa6ed87,9340efc8,7ce0e228,9e733972,8e88d9cd,8a4e9e7,7dbd7b49,114d5a71,6d91088,df928d60,743bf2ac),
+S(c8e7f596,3faec5a3,a32d1ee,65d1596c,a7edc87f,486a13d2,c7ca7b84,3b358cbd,37250705,1891b406,34a9752d,942e6ff5,67fff1e2,d67a88de,ce79ec56,97f5ec38),
+S(91f28714,e47e051c,84bb29e2,db84472b,e3b78524,c998a071,731e4f41,9b94d2b6,8ea1eaef,984af3cd,21be9097,99f68033,7c6e3479,643e0c68,b00963bb,d0125f0d),
+S(d50a1905,ac4d2195,5c2e6733,5d38a08b,26e29809,674e1b61,8004d18,f823f402,83cdc5b5,33145488,35884fbf,f14b8e5c,35c1ffe9,29fc5222,c7e2a868,d5906827),
+S(c45086cb,387b9bc8,a1d7b71,ae74a87b,50ed90e3,a0027766,98f7ad4d,809666b9,1c0abe25,d46ab7cf,dc4a5ba5,e3fcaf27,822b5f0e,1bc08af4,452be7ba,d480e605),
+S(b486a681,f9b26f12,c67ba147,7ceb43c0,90539587,72dd1dc,15cf1e74,9fe3856b,f4bd7623,fe97b6e2,6f49e292,899a7f4e,e7925cd5,3fe51cc4,33f77d1b,76291240),
+S(c7563596,946f57ae,f91d12a2,4dbd2d0f,726422e2,ff6ea15c,f70c2e7,868e6f8e,566fef1a,aa3316fa,e935adc5,bf1e9682,e3d00e24,2bb57e1c,3009e6b0,df58449),
+S(6d0b65ea,265366c1,7740e473,f823ad65,f38081f7,86156199,421a8b46,117b2733,4b724837,8748545,c6d0511,79d22b3c,61932bc3,563eadc9,a8edc5d8,1c170f5f),
+S(87973dc9,379225c,50366d92,f0591837,71828fb1,d1d3a65a,20edb955,c2e48414,bb226cc0,67c7fc4d,99791a74,301167e9,62e92498,6ebb0fad,fcdde6ae,8c39223e),
+S(72e7347,cf657935,be5939bb,648bf628,6a2e870b,cdae70ed,bd2c499a,be83191d,431e74e6,bccfbf3e,3fdab221,e2274a77,947d9cc3,5bc55c01,afa2d33e,8234cccd)},
+{S(bc4bb9a6,292aa09f,5c66dc9b,667c4642,6b08211f,a9a80f5e,f3f17b,21f275de,5d0e0492,39a862ec,b9649572,6f11bc09,cebd9f29,d9407ab3,1603054d,d9b76b07),
+S(59fa87bc,4f47100f,f37135c4,1f5da6e6,28b76376,e0f365d0,eec857b,4b342b19,cbd82bed,1859e567,2e37e18,e977fdc3,6997482,a2db416c,686b3b64,a3c1d66c),
+S(3af64d00,ddcaaef8,172aa0d8,adf5ebe7,fea87204,38125e07,eb74a5ef,91c17acd,4d695d52,ab785972,a425f6b8,f9f51e54,7067f9ab,b2af1085,bf22d1b6,7f51202),
+S(31f9458f,d3544b7c,cf0a55c0,729ccb70,a57fc498,2078ba85,1fe4bb32,164e9259,31c6bca2,eb57ad06,e74da59,c824c720,17bbabe1,2e71a906,e6ac2e2c,36833b0c),
+S(f2bcf05e,bd8ef03f,55d3d5ad,dba85359,3afb6b49,d72b2df5,c8107020,185d8173,a0c011a2,513c227d,22f045d,59d763cb,7c820ab6,e0b35144,66acbf77,8c188b22),
+S(9373aead,2e733de2,cd4ddfd9,43675acb,40e2fdd,79c0bf12,45f8cf95,f2ece30b,8f171f4,5c1cf577,7416c873,a87af091,2a2eb20a,82f07c43,1e1f1b00,36c3276f),
+S(5d2a3111,6cf78432,c8a3b0c4,a5021720,dbdc5e94,d842779f,6df51fed,5cc1e47,fa5381e6,ecacdb0c,6f326569,771b0f5d,d7e3c3ae,7c64cad5,ec03220a,33a24c91),
+S(56549c28,f339c6d5,77efa8b7,3d795f64,580dafb1,f146268a,c7e751e2,fa3f041f,7aae31dc,2b875c94,6c2ce9aa,a6fe33b3,13c3795e,a188f343,89c34a48,bc3093a0),
+S(ff4aa1c6,f5120040,5d488787,65f9931f,366fad1f,8a7d9ebc,abba9805,f6684aea,faa72c87,6956050f,663c172c,b3a0a3f,56e7e698,62723659,7a20c0ee,5bec6ccd),
+S(65873e26,5ad6233b,41a6d42e,ebf1fcff,e8b1ed8d,97eb9131,1ede963,f8058c6b,80b955a5,d1648b0e,ef8d883c,24c2499a,f0f9350e,d003674a,fec69be3,d9f9d2f0),
+S(b3a54b5d,3e19513e,b7be4c78,633a0e77,b4ec4015,d891bb6,35557fba,eee92f4d,1aabd4dd,3a995ac3,8c021f50,f2fcc578,5cdc724b,2b657f2f,9f82e777,fd449eb0),
+S(30e69221,e75f5bcd,7b017467,d36abe41,d76b3589,1f82f38a,ff79be7e,fe8a7d44,95d5120b,807d3f47,76b7ef43,3ac7db28,e6b83c07,1e33573d,4a45eb8f,51296c88),
+S(3a61f393,d842419f,f9d49dcb,e169bd36,2e28f92f,9d6c197,a441027d,9edc36eb,8cc6782f,898e586,1faa62ee,dc2ceee1,b21ae86,9e40e69e,20872b74,361f6f0f),
+S(f46f5bea,e58e4a74,1838e312,57e3b579,5826ad3b,6c0576c1,f8b30874,c3a5779,91e35b62,55148a94,df34dcba,d2aa00f4,95e91eae,4a1c2d97,43a7fed2,d2713854),
+S(6db13572,e3b35a2d,fdee5469,52d69463,19b5a95e,9e7ed8be,95cace14,471ee6eb,38c2be05,a1fb0fe1,e9dd09da,2684b4c5,de4e93bf,60fb3816,aa4261e,fdc9d79d),
+S(af86cea1,e34c2d74,fef9d3a3,43d66574,2ca64259,f848885d,be0be05b,c8cfa432,8c8a2d2,da789ccd,b7f259c4,124ae844,36890818,5272c381,16bdb76d,f71af157),
+S(89e5829b,41074025,cf6929d4,63dac04a,bd3139df,21b589d2,af8a0b7c,1c3c625,f762d80c,99197627,346af77e,f5295bdb,d86b5fa7,94975c6f,881386fc,e2609ddf),
+S(2d589866,819b012c,ee8b7f5,63c20617,cf7d3f3d,ad56d4e1,c909c8b4,2071e6c8,cb7b8d2c,ff2bb979,1ff6f9d6,28d6a67a,80d1029e,d8d08573,f5e3b6f8,8dfffb67),
+S(93ea11e0,e298b3ac,16ba686c,f5c1b089,55ed8d67,c318dcca,cb320d08,7f33740b,df9fbfeb,fb1547a3,92954300,98dc59b0,8af26c3c,ab7b42f8,5489af52,409a11d7),
+S(febd58a2,529be1d3,8176be80,7daab920,32cf355,9ffd7d,154c9962,ea66567e,299967f5,5fbbd509,76271d5c,53975b3d,a4b43d1f,71f12ba,4a618a1b,5c11e484),
+S(eb2e3d64,a5eecd,bc65bf45,405c8af1,bf4683bf,465b4a1,f8dc4627,b5b5c81,3c6d2f03,b30b2e49,4d056d55,3d2cd0bf,8c8f41ed,14b260e5,7bab5d0,c77dc06f),
+S(9fefc3ea,d2ff9b51,57c669d0,bfea2c9c,7bac751f,9ac83c1a,143d05f,ba408216,10f0b7fb,b685e767,41fc9a7b,6c90191c,6b428e32,d9c3e611,c97aa120,8e361bba),
+S(90b9eb4f,68cec46f,b7e426c8,94576858,a49ed785,a1b5be63,9bc68e5,33db8479,9aa3cfd,271602ac,5e9e84ab,343bef4c,9f8797eb,79d247f,7fde53be,11d32335),
+S(2b80ca58,85919764,80e54e26,ba726c31,8b491c9e,56ac6d4a,f2163064,c69ce44a,50a00290,17815845,90773443,1c7c82dd,2e071d54,7d4b657b,f9edb939,24cb2a65),
+S(df8e261a,55523b2c,933d0d15,c4bf5a0a,a8b2d01a,bfa7e064,d48aefd4,44485775,3d043bf8,7dea2305,274957c4,b8b5b37b,cd477b00,7d86f45d,b36fb42,c53c20a7),
+S(7ac6a221,445bb8a7,ddbeee44,3aaa2de9,86ec1fcb,551caac3,84e2d37c,8aa05558,746446bc,64e61523,c52e5a56,b1315151,904a3d75,43191b9c,c32172e5,f08d22af),
+S(5c0ace30,4217ff80,bc37f783,aca722c9,5027492c,3335ad3c,aae56270,c58509da,39685f11,9a646344,92a1157f,ca4548aa,ee37d52b,87d0148f,850976b8,4006dc6a),
+S(6cd63750,f8318534,74da52b,11b8d66f,2a72c83,582b8c88,31d6be9b,ee5a826,57ca2d88,aa5f6970,54a6cd3c,a568f9a3,cd850d31,3510b1b2,adef4822,a943b3b),
+S(9cabb7fa,7d9e6d89,42dad033,a22a1acc,1587e80c,fd7a2c78,fbc9bc11,c2cba6a0,f6bd65e4,1639bfe6,44f1101f,6acf65bc,ae5f56c9,f132b37f,8233f568,a23dd0e7),
+S(233059ef,878839ef,60e1756f,771003e8,9af5569a,c5b0b849,fa84184,b9b9964a,654207a9,ff112902,9c9be9e6,d3d24bc8,a61a5c8d,4c25143b,5643e004,4fba7520),
+S(7cc5b46c,9944e309,86e22624,99805a7,2b9ed814,954494cd,18c74882,aa3b8f39,c7ebd041,c5877c83,2cf05c42,6569ae0a,c1a37583,ceeeffb8,8cbc7090,ebbd71de),
+S(9c55c21a,48c766a9,bc31a0b6,6e65a719,ec4d181,994cb533,3bebe7f,e017faec,4037846e,c6ca685,5764a8a8,230b07b,ccb9b145,b0d4a0bd,8b26020a,2d2c9da),
+S(7926a60,bfdfc1c1,4d20082d,37b4a6d9,8e7651a1,4ed2a3ce,547a99cc,feffa208,da120ef3,d60469f5,dafe0776,8717dd2,5f95fc58,87594181,4b54604a,1aff86c),
+S(c52dd3ed,e63fc9db,95a88ed3,e62064dd,f7f9112f,c30acc3d,3fc8438b,7d206c14,e65252d,2ecb95f8,a45059f4,68bfccfa,75b3b3ff,2ec9bbf0,46f51b0,416592cd),
+S(831432ea,8e1ebdd9,3e254f18,15ad0c16,d637b04,85d43d4a,9eff1221,5835ec2e,af620dcb,328c94fc,b238fba9,3eb0d1eb,6f3f2838,9aedc2ac,26cb4f87,ea9cfb8a),
+S(e5b822e9,72a7a2fb,723c135,d6d45602,deed7cff,61124fab,ef5a4fd1,68828773,117f1b94,6f715282,bd5bcef,fc2a340d,de226d52,cf3a9643,bc8c5119,542fc9a4),
+S(59b98a72,bb15c51d,15f93497,bdea606f,2505b1fb,f37e42a5,73fefa84,b00deb6c,cb1feaf,bd5325eb,e604aaf0,480cabde,d6a5bfa0,bf9c4bed,674afb3d,65dcc5d4),
+S(8847961d,6547b9d2,29f1faf2,ec0aec4b,8579c8c3,b1fe967d,eec280a2,ec45fd92,5280bf82,96b0251d,29ea6573,fccae24c,bdc4af9b,77043461,32103fc0,badcacf6),
+S(bddf032b,d6c8709f,4b0f7b0a,cec96259,6db33d02,3d2270c,7824307a,b88bd4f8,b2fbfc91,c7944fac,dc69076d,90a1bc58,4d202119,574f0fe2,223f7821,c8100dd),
+S(966bf84d,b5ed857d,cbe278d8,25167aa,eafcd957,597e8c08,241702aa,fe983af9,85e373bb,9788f0f4,2e4d6bf1,52136f90,b0fa7325,d2c791cc,4a7103f3,4ccc0b20),
+S(7a16d469,e57ae4ca,46e198b0,4f970300,c2eed190,58d81028,ff2e1283,267099ca,4bfdcb6f,cb3b9c0d,782737fd,505c984,41c82029,db95b83b,c445b581,d1ff39fa),
+S(818ebad5,7b04a0c6,f1235c71,634cf8d1,945a369a,8c707856,c58d2316,5bcd13cc,3cb6c26e,a053581e,821fcb36,174e91c5,bdd56144,7e3bce4b,c69f4f28,8968493d),
+S(72059db7,2d838163,58b16402,653d875e,da620a67,5628a861,c6162f18,8a2bac61,232ebf0a,d0cb25c1,78626633,d4d61d47,d358bb35,b525e624,c2d6ba41,698f813f),
+S(e407793a,b1246e86,aa9f782e,b1a0422c,28846f2e,49fcd886,4348c22e,411259c4,b339b1ab,dab01588,e8abaf1b,39a29055,66c14da3,1feafaaf,ccfb140d,1dc1efb3),
+S(50dd489d,851e6b2d,af877b4d,70990326,dd9f9b0e,c22ca933,99dbdee8,ddb7b8f2,a9a28ecc,6d500065,4d3a3747,27be80fa,f41faa1d,6e51406d,13622655,e6cf5ac3),
+S(5b592078,d50b3a6f,c94aa2cb,5b1e3a81,74a3d644,2fd12c2b,765678e8,7e00c8a2,8ebd56cd,313938a6,681a5ea4,61409f81,a4af4495,31266c3f,b915822e,845a8d7),
+S(f90cbdc0,a228212a,32eee9e9,43e786ad,3a091308,81ad5f04,8a629a7,7035998b,6ae4854f,c789ec49,bbfc5d8e,14cc250a,1b862e51,cb343ccf,a0957b18,b9eb5545),
+S(cea133d7,6121db90,c6281060,ead76d4,64b3825b,79363a04,ab0c0bd4,8abd9437,c66be897,96a25bf,867cfea4,f0803e1f,ec3c5a3e,178bbe6d,a972b2e2,e677dc41),
+S(a09d9e59,5a4baf0f,b1f479d5,5d3cf051,7b34c007,b41d655f,efe61dc4,4111a4b5,2f21f502,f9752e2f,9848733e,afc40463,8e29d45c,1a294ce7,d09737d8,bc9bd1bf),
+S(bebb4360,ec850828,b96a774d,2da91f0f,17c0a288,47796341,d617e1b9,b8728951,ea06e33,55603e97,91871935,f01cb416,bbcd226c,83cad5b7,fbd0eb39,48254a25),
+S(d7cf537c,430cb0fd,434e555c,c1303b4,3fb60476,2b7f617f,4c2fdfeb,d5654461,f4ff7415,55841324,3b944ca9,adf91cdb,dbda99c8,90dab0be,8ae2a294,9e61c0ae),
+S(1ea3f684,892f93c4,aa9372d,6ba193c4,8e6abb8,868bbd17,d91827b3,54424d5,dd549d14,a684f6fa,b1a401ba,47f42a89,14b0d012,80d24bed,743e3521,16ce17e2),
+S(ac0890bf,ad8cab43,fa85b5ef,c10a5c7d,dbaa0237,daf20cc6,efc94c78,d95a86fa,a16a3028,69f2ae14,4566701c,f80add76,48d11ff2,1dd2596b,c30b074f,a5f3159d),
+S(6d573525,43fbf521,d49d5b15,36f83a01,748d3470,57254639,4cec6785,860000a0,98b9f97a,9ae8bc6a,7ada1bd1,9a225ffc,8727ed3c,32b169cf,c381a60,3590acdf),
+S(7be891a,771227eb,fd583033,e3801618,28cdd0f2,6e72cbd4,d9ffd169,92d7f1f1,be22c30c,3cade74,14bc3a7c,c3b4e5db,7ebb4ca8,b3ef67a0,b89fadf7,7b404fd8),
+S(97f0013f,10a9ba96,58a1a5e,bf8f2d6e,4f2c56ff,9acc6221,177d2ce4,fea65efb,bb88987,7b7d1929,4dd4a011,7440707f,916e1b2c,fbf2b0a,5805c5b6,d8e65e3a),
+S(77c3d2b0,b7ee36dc,69b75d91,11fdc25f,3996642d,a59b87b5,5f5840ab,cd5cb1b6,769c9cd3,7c4f4059,60129e1a,4bfeff8b,d86a41c8,eaa4e3d6,826a4cf2,5185c5ab),
+S(a0a234a8,da6fc04b,2c77c7a7,a3b79f5d,7200df84,76d6737a,e879e4c3,a080fe5c,b9b8a2a3,59af78,9d5f0448,3f77e1a2,923a28f0,9f928067,4bdc1aac,8e8f0bcf),
+S(1374c3e7,fbb1611c,8449d724,7ff49167,230b630e,a0c2c0ea,6d438426,9a91fad1,21d482a9,d29778f7,dbc31471,fa120bf5,abfae23b,185dde67,2198c725,47721db6),
+S(f6c035f7,270679a5,4cac1f52,449f357b,cc36537e,669f056,3bbe022f,541e5d67,d470bd7d,9459165b,8bd093be,a3f64f8a,fab85bab,25f31046,c3db4167,5e8e7e77),
+S(1baff567,622fda3f,7171e2f1,f66498e1,da1a2973,c5ad784a,6fa5af2f,23cfdf69,e1a87fb,1dcf917f,2dd6856a,48de7762,a05e0c12,89233db2,49637e69,15a5aa4a),
+S(eabb2399,ebd468e3,84bd7c14,1329f972,96b86a47,53cdefdb,3b539449,d4e04d92,92d94943,ff0dd405,fbf02d21,875b7f13,25eda73,ad65d332,d005870f,951e3db8),
+S(9121e2c2,13734da8,23ec445d,cecd6740,e1e5f513,7771ef9c,72589419,25f25ce2,8b1dafb,ebf4ee9a,3c39f51b,dcb560eb,f3e27409,589505d8,a9c18946,847ddd63),
+S(51616592,730c7580,c2ba7dce,8f2d7aae,b71c1796,e35223c6,8a6762a8,c0566563,5af04478,c1509a8,905e271a,80c01376,bbcb5161,a78bcef0,1b5116b4,adcf68d8),
+S(5489e35a,4800b74,e7d9d8b,99841485,2fd80e19,b290d7d6,22ab9f66,de8dcc11,3ec6df58,ab461f1,9a0879c,149d042e,8e7e5c2c,98dac706,19137120,74a05492),
+S(bbd6f40,774d7bb8,e3fd18d2,b7f3c2b4,d1ad882d,73e101ee,3ac247f9,b8720005,17134bcd,6f74cb12,48b10902,b9eda37a,fcf8e5bd,50604a0c,65d08952,460c04ef),
+S(1d99eca2,b542ff0f,470e7b46,ffa024d0,ebef5635,c0149593,b4b34f6a,d4531cdc,2e9cc03b,b2e5a461,a3122521,e09cc6c4,63d8e6d7,c4aaffa,c9d036c9,6b74d882),
+S(32c2caef,93d345c0,9451725b,84b1260c,a9defe2e,228f985f,f33c3f33,70afa675,6875bdb6,3c8d28df,71317042,d2328d5c,24614210,4d134068,a943489d,e695920c),
+S(25107b07,4ac55835,81afb4d2,dbf5e1b8,21c26b56,75efb3,33abaed8,56d0a5f2,626b9614,2d70c2a,5572ff7c,606abe47,cb90f850,2c13d478,3ca4e045,bcc7ba39),
+S(d542e001,894cd3e3,97ae2519,f4b69c7,59308117,9ef63ff0,a9d586b,3fb324bc,bdd28dcd,94c208f8,bed304f3,adbffc7f,76cbc70d,333dece8,b2680b6e,19076fa5),
+S(c1b950e2,e7cb74e2,a4274cbc,b67772ad,5c32ee22,b18c3d99,e4a92005,3edc000f,e8329595,39709b81,58f892b7,2ac9c0a4,e1e692e4,da526980,2b046759,58f0ffda),
+S(8c6c041e,b8b3daca,fe89492e,91829869,2451bc8a,e4dac8ea,8cec1d49,c25778b7,6bb9de3a,55fefdbe,4376c9ec,dea4bc24,ade146b6,c454a441,8c47120f,f1f55d56),
+S(4806db6f,bcf9004,e4cc63d5,555ea5a1,cb9107d8,e060e3d8,8fb79fe0,3acf1e46,c0f5f482,288b0036,ca485a74,a6bfc264,88441487,63804ece,e620e47a,16160e95),
+S(4b3e050,26545104,176aabd4,40ef4ba6,451bbb0d,5420edb0,4063c22c,2e7d8928,42ebb34d,ec06c95e,11ed8e24,90369796,2d8634f2,2641925f,f765b06d,838b5cc2),
+S(be7a60ae,bc21640b,2f027c33,f6ec9422,5e66c16f,1d946ea9,dd881101,5d80a21e,1dd12d43,2b2a2f60,9d434936,ebedc2f0,b9c20747,32275c94,fb7bb15b,bb323bff),
+S(550813b9,3c3dc22e,4dd576e5,50042b51,34f1a905,2b28af39,cf87bb89,84cd8211,33cfcf61,91cc032c,dc284de3,7adf0de1,a83e39f5,27273eb7,f361235a,40d6da10),
+S(33133c21,98343b11,424655b0,8ed83de4,ab36c87a,1c5316a0,686145f6,62be725,fbf5d264,30a71f5d,bbf33aa,be2ba027,b8abc0cd,37d0130f,a99a6698,75f011b8),
+S(dc21892a,8b5e8ad2,2d4fca59,7941bd5a,5099f82f,e47ac4be,7e705a35,9a03eb9c,7d49d315,1d6b6e97,1f8712db,197b3c8f,aa8b79d0,5957379,6b895bbe,581242d1),
+S(64e648c6,98b6ee15,c168e71e,dd031c66,27486a0d,8f858342,80d55924,66421465,7244a14,2e7fa0b9,a41195d9,d74655ed,4ac3f1aa,9f055c90,326bd32a,22669878),
+S(153e77e6,b1704f24,5ad12253,7f11e9af,e22c2647,67293dbd,fa51e415,950f7b2d,7bcddddc,ba3b79d,7cb6254b,a4b4abf0,a44fdc4a,131eb185,c6a480a7,755cbe6d),
+S(24ea7667,d2747412,2adc6c73,4a8babff,df7850c6,a7e60647,e4825f80,9f89147,385b29ce,bad1ef7f,c661e36d,97bb9eec,5d415c7f,613d82b,39f8b131,aca17278),
+S(897d6779,70dfc489,800087ee,c67c957a,5299358e,14f63610,c991db4b,530c32cb,42905602,2ecd9bd5,9d8e3d49,9e037e07,4268033c,6ae4c9b8,ea579d96,daca5c6b),
+S(beaa3e34,26dbb441,5ce9c604,7db0821f,79af4e5,faafdcd8,8c89f265,77462905,c0fa8760,f9964d11,d2152f01,3590180b,53a67a35,16cf7c3c,403361b8,aab86634),
+S(d2c97e5f,85b4025,a66c29bd,23b5d30c,4c8f066e,f68ece5c,df907b2e,558bf547,1e320de1,3347ea0b,13ef7f68,cfc4bbc0,e10bf7af,c031f64e,9a9f2c43,181ddb61),
+S(1ec48a1f,169baa2d,ef5bf8e4,e1ec8f51,d91c1667,6906c912,ce084f2a,9aba1d6,498a5d90,6ec47ca9,f6d7c5ee,bd25f83b,a14884b5,a4ad64ef,3fe9ebed,5ef0932c),
+S(313ad91d,44f622f7,785b3ca5,6cf9e8dc,389d5aea,b696342f,ce58ecb1,d6e9b45,60f8ac86,3cc5eb77,c8f83c05,81aba889,d48f65ca,b9757076,7d9973de,f4a693df),
+S(93f7f233,dee42606,41f8fb3d,d67e6e9b,cb2fdcb0,905e9b0f,92fb2094,701d6ef1,1cda7163,64ce202a,b53e3cfb,b4bbdbf4,1e124e57,85f91d5e,5a5f3205,a4e4ba13),
+S(56694a44,a4455ef0,a429a5ef,d11b6440,bfa6e0c1,958b8f2,e3a8d00c,b1f5feed,ae0e21b6,669e1b86,e27df62b,7038de4,fbfd1b10,72da3ebc,82432787,ba5cbaa5),
+S(7a6a7dba,80380635,d851f291,d7dbf6db,bce98978,805c738e,8c80c20e,c57e3a0d,673236f9,ea37dff7,c9eeaf34,b63ae652,1b38fc9a,94c111f2,b3e253b,34f05009),
+S(d4e820b7,aedaf95b,de86a889,f0adebc6,279e0ce3,b0757972,d574f64a,3fa6a6bd,42762fa9,1b1cb9df,85c55acf,95a421a2,d4da6f01,69474abf,61209ca0,4f062939),
+S(62f26014,d06ef2c6,ae6d459,6e45b2e0,d7d28f11,ec84fe61,8baba130,1d483950,d53fbb59,f239a52d,592b6f98,fbe311ee,4c9d4e20,b6d9a8ca,5698503b,eba1eeb1),
+S(bc5ac17c,2a9e3731,7dc80bb8,7eccb0cb,ae804158,792b6926,60cf3f53,b2446eb0,e2a67966,a8de04a8,db78b4f1,e37c6885,b99b188e,1d4a1fa3,5e9084a3,96e5d8e1),
+S(80743e30,983d175a,ce9ddb09,bb1adfc8,1b059b9d,73c51b42,d29a9f5d,673fa494,eff1e042,89a84d27,2d941b5d,5bbceaff,d3b7069d,9d704317,4b35e2cc,12dad80a),
+S(faf014bc,c17df331,1902a50e,fb18469,9f0344ed,b6b057ce,5c922f22,97f5ae5,47301fe0,6fb57e8b,5fd121cc,be2da9fe,e8e918b0,7a9d9228,43e41de,77e2c1f9),
+S(9e89950b,e18485a8,14eeccec,4bd484bf,e2c027e9,54cae11a,52bf2a82,43a6faf4,e81f0ee6,c85c5571,f5ae6a03,3ad4791c,68f9189,507e53ab,ee15e035,6372f6e1),
+S(496b3eb,ac55b991,fea92454,e844e5a3,fe7595cf,b25fe7bb,c358f0ed,38e9cff4,d13d035d,ae0d457b,540c6b67,4db20893,f75ddf53,5c6c54ff,95e46c76,14a58153),
+S(24ed90c2,3547169d,bc55f880,33204740,a2fd2119,63737fd1,debc0578,400c675c,f37940f5,e3e25da7,7ffa143a,865e46fe,a1dd1230,fb42a627,9e791ee7,38b739e5),
+S(9cf8971d,43eb50d2,e522fedb,9281026,659612d,2fb2bea9,d7f6a65e,cb2c0703,b0b6a53,103cd33c,6e0c0bd4,5cab3923,29012395,f8e8951a,1fc4c9dd,95cbbdaa),
+S(f6c823f2,ce2006a9,6cbf68a8,61f00eaf,4d8524ad,3467f8de,8dc64911,e89b1f7f,6eee9a22,59ad8c81,277d52b2,cb3b5e44,1259fc8c,52868b74,4946b0f5,b8d9abdd),
+S(4bfe7,5bafa425,7f1fd25b,12b68afa,abff6771,89f05d07,85e06d82,b6906316,4ee94fd6,a5388fc0,1ab5da36,41b5c562,9f7c966f,64cc387a,9b3336f4,34323adf),
+S(d15fa5cf,a481a1b7,8c746f3c,a19e0979,8b7e777c,4841d73b,ec4b63d8,b01c0019,c6fd422,76ae3e1d,b28ce840,29b8079d,7dba4c1d,acaf27d0,d2b29bbf,5ed59f6e),
+S(bd17078c,75e7c325,80cf4a88,8d43c5ac,c323d8c8,4e9d5e29,c09c8c77,14ab7397,1094e3a1,21abba10,7da189d9,2f92c5c,f00b373c,89f346eb,351450e9,7377cd4),
+S(1acbdb1b,79389dd3,5dfc607e,2aa8134c,fb04a655,c4848cb6,b5b73491,cac2cd87,8d2bcfc8,72da8a7d,1b89863c,ab7610f4,297dff9e,bf9e3f18,8a6bd6e,99421c97),
+S(49e5b6f7,243f19b3,c36c5411,a6e34e2a,f61a99b2,38958b93,819ec7e4,6d647af6,9af4507d,850aab9c,9b1eb3be,90c15460,3756e29e,fcba23ce,313a4dd5,290f1385),
+S(15bd9023,bad0eec9,fb19a720,e0a7be10,df78b3b0,716978f,5ee37052,b19d1f92,9cbac74e,7adf5e32,8959d826,41fdcaef,1d4eb24b,a5bd24ff,8d2625a,12d0ea80),
+S(9d03f121,d28dc96f,ef6eb2a8,d3737033,e9f6703a,1683aeb8,c583b78c,7910eb6,46723472,ae342ff4,fb9fa789,8e063379,3b9b6781,4bdd8f43,840110c7,4e8e03d9),
+S(8abe7e21,f025f340,6929eaf8,c818b016,f7423717,c893b6fb,cbea7ec9,7db98a5e,8bde4e6c,c37c681c,4f664731,719ef10e,e0e7f6c,5739cecd,32f6bf87,c1ac6144),
+S(66135e6e,e913c965,ecd190c1,9d4bcc5b,e238225f,3755aee0,64852da8,96e848df,c2c5133c,9c033d30,2029ef21,1379858a,ec918357,421b7614,13a4deff,6f855ae6),
+S(5dfa7af7,596b611f,24b57d98,59a5cfd9,41ffdfdd,1e80b0a9,994966a0,338d3b27,2780b496,8fa51ba6,b6256d78,aa25249a,982c091d,40cb9336,863ef2a8,9e4caddb),
+S(a5a9782f,f7c90216,3a235a3d,9f548af4,a0ccf508,1aebf0c0,f9d4d772,ae3ceac5,144a9e55,f017dcdb,fd093573,c47b9954,20cd8a63,bd7cc456,f301cfa3,b7e7b8ab),
+S(fcd5fd1c,44765529,413ef8b2,63d60414,c6b1da8e,3d2e8463,f0d6567c,f9029916,9877c363,d6180a8a,b005d5ee,77eeacdd,ffc237eb,a30da48d,ac582d0a,84e8cb31),
+S(95be1f47,e0aea7c,4c0720e3,fd528ece,66627ba9,3f172875,76b1490d,7a8cc395,f68eaaf,9c4986f5,32adc845,31ba80c9,2c817962,1e042503,6e58bc46,f2d18720),
+S(bca58c89,dd846a85,6698681d,450afd5e,621c9ecd,3e1cbdc,d8f85582,4a9cb047,8d0160da,d653a54f,323bd258,74360e4f,573d9a18,c3360121,e18f33dc,5be1191d),
+S(1508b726,9d97108c,9c4a01c2,59fe7022,dfe63662,c6b695dc,6404a9cc,3a532a8b,e4f1b655,35250561,cf8b38eb,1b43bf23,430fd354,5045c434,dce7d3de,c22528a8),
+S(b2b2dff3,fb9b7b21,411195f,c095f2e5,d69dd4de,249aebea,b266f6b0,c45d65e0,f81346f6,2377c415,a05c0a4e,b0b70a3e,95361575,9241cf7a,22918713,199a5cc3),
+S(b087aca7,3b1daae8,b5655de2,6ec08874,14e3c2ad,fd3c84fc,4c6ad73,b735664d,402e931a,b04132c0,2efe8d75,6197ee92,90ec0b64,abb12862,728bf679,42244f36),
+S(eec45124,dea794fa,c467c17d,5f843902,2f7befc1,f535897b,da946e66,bb22dbd7,18288f3c,6d89b340,d250bbb,afa10261,a30ab71,c47d8f36,a6a29312,e79945b5),
+S(9e01ac6f,214ad3e2,252051e7,9802e09f,ff5a1f5b,16fc97a2,f82c5427,515a4fb8,c92a340,a9798e40,b8026d1a,826eb59,e6db59a3,efa12ad3,b891450b,c7ed015f),
+S(97c0e53a,f2dcf282,66568795,2fc72a69,33e7161d,7a9312b1,261b0085,8bdd386e,5ca75fc6,b5aeef6d,7655fc27,1fe56c05,8d7a65c7,912a23a5,e4105941,2b20cd5),
+S(79f1fdd9,179d870,45f8f8d3,c0f6e14b,2c932673,1cc2e79a,4fefb3f2,9966a21c,38eb64de,e16be6b9,57c5e78a,7a64a55c,90cf0ab3,a99c964f,b0dcbc5a,7f15e40f),
+S(53559fe1,d3222709,8e26093a,61770eaf,9bfcb7e3,e5de16eb,df6e8934,a9522921,4278efb3,9cb23458,305c7ce5,bde295ad,856c901c,d4c7faa4,bffd6c9e,52bae725),
+S(dc3c9dff,d1ff296b,17667fa,f58231bc,d2c26a9c,8f6485,514270d0,d5d00d37,701693a6,17f6ff10,afd51c26,e760e0d6,8fe749db,aa5b35cb,636643d0,b3755ea9),
+S(3b1ee2f2,9ff89f3e,78295dd1,6128690c,557e188b,f76b86c2,2698e0f2,fca33213,69d4fd8,e1886d81,d22461ca,81c20e95,ee813d9b,6bc39af6,38ba71f4,72db25f),
+S(8c9b2d19,a576801e,e03f6108,84d1106b,e13481ec,817d892d,4b233aec,3514d12,55e30950,d67bff85,a1fd0efb,210f0180,d349fdd3,20f3470c,3bae1c70,21550dfe),
+S(fcd42391,288b05d8,8e23e673,7d612ce2,f45896dc,7953cfa5,fd32fac6,f8ccf8e5,83c5ecd,4148c600,d9416831,68ce71be,dc571321,6ce07f5b,779a1773,412a8e47),
+S(92cf957d,a51ce801,64e6ceee,76defb26,f14d1922,9e9e1933,4f13849e,f7922f44,cf066667,272a2d54,acaf3fad,2b9515f5,c8c23828,18a91eb9,d6b03a61,475e2298),
+S(646d5ab7,421ef1e1,1f86c4f1,6d308cf4,401ed527,c975643d,e0221f17,6c2441b5,3313b887,226eb9e0,2956f3c4,f764892a,3b99bf6b,8106575e,55c792cf,3645dea1),
+S(3a99563d,d92cf9c7,85a0882b,9f51af44,76af2e4b,dd23495f,341a524b,d3643954,8bcc950f,1eabdb50,c1cf6e63,1b491672,9dbc1df7,44769283,e52a5179,303ccae5),
+S(e8979b98,5a418b6,13d4d43d,d004de47,f6cb8e38,354fe810,7f47b741,c69a780f,c407e05,a72b449e,43bd8069,9f7b2559,ec26fafc,a016c735,a8fa5142,1beec4b1),
+S(5c69255d,207f650c,59fdee77,7d59dcd9,dc75e3b0,8fd7fec3,d6f69929,9dffc8bf,a1ff812a,4690c166,48a7f3c8,cfbb688,fc5450b6,29f8f0d7,41e36883,ba570674),
+S(48e3a29,a1be4db1,d1fe34ff,fa352356,a75d97d9,1dd73448,10f9d8ac,ded6ecb9,8bb6341d,d3431054,893dbf21,34e02153,2a1ec461,1f42ea41,d43859a1,4a6fb78d),
+S(fc9d5478,5428ea33,8bea7507,488e5505,f82e680a,778fce8c,9f84aed7,ffb235a6,884e8b36,19ec9e19,9650973e,bb160df7,a116f429,aea7b742,b1837e,43dcc4cd),
+S(5768babb,8f16cf85,98c268d6,9965f913,1ba2df86,8f96958e,5c926960,9f86810f,a320eb27,3667ef78,4e0a1e0f,a4d452c5,d9eaa349,b44d00da,6373a0b3,377da289),
+S(499c15bc,5bea1040,5ef65654,fce454e5,4072450c,4ce5f279,62fc1f69,9bb103f7,3b539537,3e537faa,89adc347,74721df7,ae1554ab,ce2b7ced,38f67b41,9b157e3),
+S(e90e567c,20c1b561,be3a3c9d,8a227233,73503e97,a1e88e,d6928465,77188951,26425fb8,49136a00,392a8b01,4248e2f3,10b0321e,d192e9b8,744e7873,5c393396),
+S(5555e213,b06a7807,98ebf522,9142f5fd,4867d080,30ff2f63,8b637d74,3ad54e42,1b82a7bc,610284b7,758d1d75,982cb069,dbf77cea,c9deb76e,62eb5324,d726b42e),
+S(9b1c140e,38b3899a,c77eeafc,1784805d,1efc1363,d25ed7fa,abf923dc,dc53d9b3,94bb9ad9,9b01e6ed,af7b4807,1ac2f67,ceff22ba,3ed4a26c,7b1b82dc,9c5fb8ea),
+S(268533bd,33f9c398,5d8ba9f7,d6d111b5,9ea49cf0,8227894,cd236cb9,4c4d6e45,ad5ce6d4,3f70c08d,2b1aeec7,6e7d421d,41e61276,fd2c5a7f,4d263479,177067e8),
+S(9bd29abf,3d69acb,1ca7f6ac,68e47d1b,61f8612b,30c36cf,4ed79939,583590de,530faf27,794dd14b,9fc084a,dd6b3cff,e0343608,501937b1,e7f7fffd,10942e2b),
+S(eccd8863,8f3b2819,d828b9c1,2c0a76ee,663f6113,ae8294ab,e7ff5719,c8962cab,18da1af3,db016cb,45d7f9ce,dd4bc478,63aa8092,c674fca5,8f03f703,82ccc799),
+S(8968de12,d40a30bb,99b10962,568b1f8c,c37bac76,7fbeac7c,21b80d58,bd64560d,268bf30,ef631569,800f6ee9,548cc7c4,15c1fd7f,b21413d6,3ed5abf4,936e5b36),
+S(450789b4,297aebad,346af999,d4ea3e7a,c8867ae6,19a59c13,84b1ff3e,1fd092ef,402789ae,6ace54c0,54a26184,c651e8d3,814c6fec,fdb560a7,51943ca2,24bf25ca),
+S(88b90c79,49a79d99,b05a2dd3,cac61e38,783dc306,fccacd97,892a75be,34e67403,3a565d5c,eecfa071,2c9355ea,67009764,7d0e52c2,d6a6a49e,3317014f,56554bb7),
+S(e5a45f20,e3f5989a,a9b04119,6f7e1e8b,95f4b397,4e1c18d0,f19bc12b,ceb5464b,d09d73d7,e6dc8239,ef9758b,ae186e54,a5cb4d71,47f6dcdb,ec933237,3b677018),
+S(51b99055,b4815a86,d0bcd8b6,8a7b47ce,7e9a93b2,3ec5f6a8,7c185c34,1647cd05,4fa125a1,35f26df4,ad7ffc70,29268830,9f8ad7e5,f3683eb9,b3dcddef,45fcda0d),
+S(1dfb4a44,867afdba,892b9f71,1272402b,cd38318,f8f7aea,68c16eb3,2c07d565,4312ffbf,15775c04,e187cb98,166b5bb2,c42582d7,5b8938b5,83613d66,9622253f),
+S(f271ed8f,c137af31,dad55775,e38358f6,608afdd5,4cb0d1b6,883ac66b,7b645fdd,1494c658,faf514ab,912887b5,c90e6bd2,a61e9d97,7e1ffe65,a49de27b,4e393bb3),
+S(ac2f0db8,43cc7ee6,e268cf62,344fd232,2f0e40db,703a7d33,5437e7ea,de7cbef8,40ddcc5a,53d8a24b,8b5ee481,ef331bca,89e76293,7d1ba22,3471c562,ee7a2dc),
+S(1801ee15,c8041c65,b9727159,8194a957,a404d5b2,318308cc,d737d858,4b2015f0,df400a6f,6a50057,1ebdb755,e686b759,d604d434,b9f198e2,21b2b514,30eca9c9),
+S(8d304b28,32eabf93,82d71e3d,cbc38a98,437d6a,70c5b084,4486dde2,1104dc80,fffb5a64,3fa633f7,cf36e574,31acdb02,b98cb4b5,9a0076e0,8f5e5061,623b8157),
+S(4e8645ef,99a816cd,74a0fc67,48cc116e,a61133ad,8f6bbe55,46ab9aba,adb148ff,594d010d,ff31677e,8c602038,5e071e58,5a72e97e,4d1c2d0,5564c102,56441c4b),
+S(b8c26b70,b1367df7,7a14a385,aaec861e,e3cd3945,7282bb2e,935271a9,6c87d589,df51bc84,95a0c2e8,ef469219,f05f054a,5a5f85ec,a20f8acf,6c424ba3,9faff23f),
+S(9934e27b,8be7c41,3f5e8ec,f2eba29f,26ed2ff4,fd588918,bda07bd1,5b87f4a1,4488848e,440c0a1c,5d11a3f2,784728d1,34b9a08c,6210494e,c1cf6a0f,71c334ee),
+S(56692314,f6a9764,47a1a988,f0a2faf4,e04c61f2,b835f22a,25b57290,b1ee5d14,d8d72ecc,1afc548f,cb1f71e8,144f9f7e,463edd9,5422a607,7b9b307d,15326fff),
+S(737a268,a2cd3d43,d6741235,69e2e118,7ae90fc8,669d27ee,504f9e85,5eda3c2f,e3d24166,a5ba6183,730c11bc,8b41845b,3efb7154,6eb1a06f,2e90dcc7,33f68b47),
+S(90d40297,4ae9d5c8,f4c59207,e58797d2,8c007a6a,4f6aeae7,9e50bb4e,fc34fa7e,2cbdc969,4e7ee150,b51a7e1f,d81d01eb,71d48027,3f349a39,8773732,4b315cc4),
+S(4639872,2ae68fdf,9a98eb24,6a70946f,c9bc927f,37a3db42,f0cda419,7dec8163,6dc0a8b1,81c16b97,da97fdea,ea20bd03,cfec3999,7e192b1b,3e0bfa39,a1727f55),
+S(c48cb232,1c02051f,2f1e5aa5,c99f7d00,5bb8af4a,61691f1f,493d834c,549139bb,3eb61f34,a2009094,36aced01,4a11b75f,2d35d6f5,67e5fc5e,2fc7aab4,437a2c5e),
+S(eaf967eb,d5f0932e,42a3222d,ac0d874e,af154f8b,47beee08,2ca7196e,efb429f5,870d0edc,43dd51aa,6f518b4,901049e7,865565d9,3e54e475,d587d94d,ce88d994),
+S(291f8c36,ae17ff86,d05a5a81,31ae3079,27221af7,7b97d66c,812a954e,ad22d49d,3b515fa0,bfdb0fec,61f838f0,e78bd29c,360b9ef8,c6f599fc,e1c518b2,f343d8c2),
+S(d6280bf9,4334749d,49b19e44,b811d99b,2a522e73,dc2afa03,c130a48c,f4ff39e1,5f282a7a,be629408,9672c7cb,c9e46e1,ed2dda5b,653cc490,93f4aecb,637a1024),
+S(9f96aaf7,8b26bc25,e321837e,29f3cbed,ba6fe62a,3a66c59b,cb52ae9,daddf9a9,ebbd1df8,a818a28c,e1a61b6f,ed13f139,504d33d0,5e27b5a0,b67c15,b1333394),
+S(bbd26954,fbec8b4b,d27f85e,44b1273f,37321a28,fa938eeb,f5e5f50e,fb0e8a40,56a517d4,c54368cc,b40d0653,7db7ec68,79d7d4ea,dcdabc1b,722e1a64,710e9b6e),
+S(35597cce,40b326e0,d9044225,82726039,fef5131,9d267240,b2455142,7ff6d7d2,ab1508d2,278b3b0b,fec8bce,4dea9bd9,31859fb0,2f600cc4,b67bf9f7,4f2b20a0),
+S(8849429d,39cdb22a,b6d22361,22a59786,2baac8d7,5f858ab0,33c5037b,81eaf963,ec203255,647d27f5,f134b011,cf390703,18006dba,f5ffa74e,593c2711,f765196e),
+S(f7519d31,1493f836,ae7c6f8f,e8ee5f11,ea2ddec0,90eae6ad,84c6d0c0,3249130c,de7b22f5,ef095528,5a163142,255b168b,c004ea10,86269d7b,ebf032be,d9a6452c),
+S(865cfb50,e57bdc46,166d2b8,17e9b4f9,73db89b5,2fe4ff14,1898bdc,fb4f3a25,36cbfe86,15368e24,b9673fb,f593bfe3,d1a0fe03,54f98c00,bf8e59cb,be930c5d),
+S(cf3d6532,8bf2bfc0,8d36a93d,8aa8e8fe,317ed071,3aaec871,48bfb50d,ab1919ee,ad96a551,9cb8691a,e1d535f2,8af23967,704dc578,b7c38cf4,84ddbc90,2c1b26a9),
+S(6ede5a39,7aeb2f30,d577c225,29ed1ecf,d28c2041,75e950e,12c98c1d,2ed1c48f,eb102976,b4237833,7761ab15,a8d0c228,a42ff5d3,a1279fab,736e24b4,47ae8e3c),
+S(146a2544,cdf67ec3,3bd216b8,51d4127b,bd9dda77,4a78697b,e010e61a,7442a22c,f7cac2,376c246b,ad67a10,ee0fa811,10afccc6,d76a9295,f16d6034,1876814a),
+S(bb14a6fd,2129d75f,5aeda8d4,d69cae8f,55b4950,7f709a96,af39bece,8e1449a4,feb4ad7c,1a3a224c,bf4bac58,617117de,811d250,8a948a19,a94b9cd5,8560eb09),
+S(69975e93,a634cdfe,2ed014c,33c65a53,b17c6025,ae499a69,599b33ae,bbe52428,e16090c4,2cb1ccd4,7c7a9b91,4fa88027,bbf7155,374fb95a,ff0a06f6,4758e0c9),
+S(e281888b,e9ec00f5,71e9d807,35c1c762,4bf8b739,c94f3178,868a7291,9d550848,2066254b,53733824,2a5b697d,a05fdaa,8e2d3b6a,840a7208,6854b55d,af88c3d7),
+S(96531c48,abd9bca2,19fe05e,c1ff1ff9,90a526ff,5c7b5775,804c5db1,65b425e6,de07c8f5,32e0eb64,fa76442b,e4269e52,95212bbd,a9cbeff5,40b012df,f0b3ce09),
+S(59d3a12c,3b2bf72f,c4ec6d8d,88594e97,89f30670,eae71e7d,2b98e9d7,3d5deb0e,fb338126,9a57fdb5,6cecf38c,ee63631,f520fee,6c3b334a,a47afb7f,7f5150af),
+S(1267bcee,c8f3f086,8187271b,3a283241,935f1822,ae5e8e8f,5a4ba753,89869795,5249aa32,41fdc011,606724fb,6085491a,d974d355,9d27f8a5,2e80c376,92b22736),
+S(446310fe,7a9d1f2f,632cc948,c86ca652,7358b910,e9532e2,9f394ed0,12c45ec4,f7ff61dd,f72dfb99,bf309210,286005d7,8328137b,6394354e,dd9cdcbb,cff06cf5),
+S(7edfb2fd,a3c15d42,b29440dc,b7c7e74,c9530a79,6290cc12,86ecfe49,96583244,c7dc5dcc,6fc1ac75,5eea622f,69799c77,eb5c3883,a628f14,c61f9cf9,2db4e2bf),
+S(e34f4c12,896a8400,a79db9e7,a5b0f67,99fde06,5e381181,f79bbb9e,b81d5e8d,e3dd7871,3cc68c48,9a877b32,9e32869a,ca89a69b,2ba6e83c,78af9c60,79f87f7d),
+S(f49e78fb,caa129ba,ad6fa192,a26ffb62,d6825cb5,f933c2a1,c8a2c872,c5ff35e9,4e1c9c4,c176653e,6b87bf9b,39c5606d,ace09e3,c3c268c1,a51e52c,c4ebae1e),
+S(71d7f117,738286d5,71ce0b08,aaa1b448,fd4a9d22,2e6d4ee1,b8c0d0ea,9275656a,751401a4,2fd576ea,6bbe6e0e,e076ec36,b9db65de,a747b31d,e1a66a02,324e5b30),
+S(29f56789,8efe1baf,bbbd435c,7abb043a,284d16a0,598a5a6a,49d5875d,7577dd82,c3a6e7f1,80afe6e7,b761bde1,7893aa7d,2dd34702,6558c1e7,9d4d80fe,108ea6a5),
+S(435afc66,f252c63a,fbc56f9c,342aae25,bbddbfa4,9b94a8e3,3d2a68c3,6730e730,d8cbf58e,e7cdff53,e4d52865,c76b9331,7553814e,f9f8c4c4,9c93e49c,7bb98dba),
+S(c326c1d1,b2d1ef3e,e4e9367a,48970337,f711bd23,3c619e18,2bc47227,2e53d813,559b707c,4a73a245,c6d57194,9ceee5dc,b5d53645,d576d6d8,309e92d2,4bc959d1),
+S(83486a4f,75664f,58db5cec,96af658e,6f669946,5c5b9e71,2e66ce5f,627d6a9f,eb7258a9,30b5e703,39681d8c,452e518d,aabbbe83,1312a65,af2723ab,ab61e04c),
+S(85b419ec,e16f8d3f,ef24f1dd,6f8ca2f0,ea7ce0b4,bdd6da80,20eb0f83,7c799bb,37f888ac,3474341b,30a32573,2ee9db8c,4cd9a9cf,64350f64,8845c63e,fffe6343),
+S(d6b6f0b9,cfbd4126,2f6506c0,89c1132f,7da49d8e,f9afcff9,ea97a224,35a85015,c5b7229f,dfc148bc,140ab9d4,4895c5b6,db02ae00,62585521,70aed317,c0e39fc6),
+S(40f7b48d,1070340d,2382ba1b,794e4069,ac9aeba0,fefa8823,aa9902f6,4386c221,985b387,a3720bcb,a99ee10b,28ad253a,9202eb0b,3167d462,b664d67,f294509d),
+S(ad6a6bd0,99789a6,2b3602b2,f75af03c,33379054,cefe6397,a135cf78,a0e13a99,249eaf4f,321d9011,39ce28b,4f09ee1e,4fadc6e6,763cd737,96777f30,aede6256),
+S(2e15ccdf,25e72fd3,3007b705,9703b13,5f8a94be,cdc35523,3b349a64,60331e8f,e3ed23bf,5f320a48,e1dcfb9e,38fd2bc4,fbbd5e2a,e16072a9,9f704ae5,2d4c73b3),
+S(aa9a2531,8d4796c5,8443eb4d,559dd43c,29efa4f3,c994eef,a1791027,784d4fd0,a32f3a7f,cf3b4494,a4970b8b,d20f4c6e,d82833ab,eadca5b9,4ddbb5a6,e27bb427),
+S(f16c0ce8,cc87f208,5f98919a,cb4dff65,b68f88da,6db10674,c4cba867,bb410345,12dd4b03,86509e2d,a79f3895,d1c3cd7c,f5735529,b049204,9b7434fa,64fd382b),
+S(f27ae46f,14efa234,e034fe01,f4ed5cf9,251c99a0,fddc9e5b,13ec770,4cbb6bba,4abb2ba9,5877455,ae76d4d2,56216ca1,78b1c12f,3fa9c10e,5df21225,4071c557),
+S(a966ac61,ef7d10c1,47ed0ce2,cc383cce,8d83a66b,bd18aed,8261e38e,67983e7b,5d2db9c0,ba8bf67a,d385146e,8ac20c72,9fdbcb0,581cd956,a95ab89e,a927bd2a),
+S(ced076ef,4951ee63,ac196d1a,65cab7c5,5654d12e,ae16f4f5,4c2637f5,6b1cbeb8,2b763b9b,bd99ee6b,5b6c934a,ccebdd0b,952cda5,ed266d5a,986be5d4,397d9f7b),
+S(9afeb8f7,f445a1ef,c7951fd4,62a0a3d2,500f3527,1f482e01,edc9815c,2deac969,93354851,99ea1fe3,f74a6991,6fa53f47,2d1918d3,c4d0d526,34909810,25830723),
+S(61c405c6,93115b8e,325be640,8e30cadd,9e42dd98,8522871d,1612a44b,95c41d92,efd7f73a,f38e21c6,8fa28d86,b3a9b241,27fb686a,75c53c1e,3b693191,d972fcdf),
+S(42829070,a896e684,88890114,2763cfe,3376ef87,17aabae2,43981213,9be22ded,d15986a4,412faf10,ccfc34ed,162f21a9,54cc5af4,91ff671,c4634947,9e539da0),
+S(d9945ab,e280b7b1,4bf7e65d,ef4cd279,57798612,50a1bb5e,28ba8bec,2b66917e,52902f2b,af8976d2,c77a2026,a8fddd2c,8f2b948c,5086870a,168a1ea5,cf43d134),
+S(bd3fb006,3748f21b,cda6236d,a13e129c,905da160,2d8c2867,f39166b9,56a37a12,47654773,9e7ad500,cd0f0853,f17bdecd,ff4eb6a0,1af3822a,1201ed09,a4e52ce1),
+S(831294aa,a3fc6d7,e0179ae1,753fb809,1fafa015,9c94c40,a41f4ddc,aa6937c,27509e96,b66459f6,2698d055,7c38634a,543f1eac,ca68f3bd,4d64d3c7,5e5b7e07),
+S(c74d8a85,c5d11787,31b8d227,b74cc264,b2ffeee7,ca997e49,d1b0349e,2fc121e,5e5fcdfd,cedc03b8,4555a2de,118e494d,2038a2a1,27913850,e816f707,fb9688aa),
+S(1cb36b06,a6aaa255,8126fc5d,b69f172,be012a58,de7d8688,5ac5286c,33e7a20f,a84f5fb3,67c6726a,e8b60e7d,d4302e7,dcd63930,2eb425d1,b89ac986,ee0e6d57),
+S(5d69d200,ccad332d,faacf513,433bac35,d78ec863,2928331f,eaab7dda,69a5ce14,4370dcdd,77fc209a,8d558c09,cd6040dd,74ff975,b2b94436,bd2ce044,214926d0),
+S(585b2e1c,b53d61de,89fe127e,d20f23ee,26dfc569,67659aa,22a35928,af247514,fa29933a,8ecbd8ef,8a7e94a9,ea267f31,a2deb759,b25c1762,1753bda4,d489c1bf),
+S(a222828e,1568c08,3ea870,50f9cc86,17daade7,cc60a72d,a8762f3b,40a107e2,ec282fa1,7a70e5d6,529e5d44,15dbb61e,8e4a553a,11d39f4d,e3183126,73161aa9),
+S(b879ab5c,38135c35,a57ebd6f,1ec01a9b,58758942,7cf9dccb,3b6ca8f4,dacf14be,18d8831e,b11a8461,9deae96b,60c656d9,f4ed65d1,71a0f22e,27d6931f,7f34a310),
+S(39168674,a5cd3c38,ec3a8293,78a2d108,d44f4fb4,8ed3b09,d491c127,c8f74a0a,e65c3f7,8bd0bea0,e96e728f,d30c8d27,10ff67d0,23dd218e,813b768,b4094faa),
+S(1a4db770,85065a91,61573aa4,b96aedc0,5d81647c,fba56946,a5e2ea1,77e7bdfa,78b0b79d,111c0203,ffe518fe,f08d517,78f1a564,d21e2e31,cab63d69,1e0b1290),
+S(90b6412a,2626e9ff,1dce75df,c56744d6,f471fa29,d676c0d0,cc8bf515,47b9f0aa,4a7236f5,81fa2637,ae532b97,c89fd6aa,fd2db809,6b8d2b1b,cf6c9ea2,4b3713e2),
+S(a25e3d8a,119b1f0,6474144e,81677ba1,811dbfaf,195d460c,1624dee5,39f29dea,cb0591a3,816a7a98,5875ed34,5ecec9c0,cdf02537,db28464c,88022850,2478d032),
+S(5dadb41c,b58297b3,e84d87b,275198e8,76c48bb8,aee3041,ed14f7a1,394bfdff,8db26ad5,ae662e79,23ba04a5,87e7b2e8,f64a52be,8a76d4e9,5193e94c,9a80f4cf),
+S(29fb35a9,f0e0b7a,d19d8af6,c4dcb5f0,19ac7cbe,b7bfb535,d23de4ea,33df5d00,41ba5e42,64f63b20,eb37839e,44deaae1,47bb9a22,1ef94ab7,737efc3d,ad61693c),
+S(7270c153,a2fcacf1,18644892,7795fae1,7fdd4fa0,3e9ac70a,4fd38cc5,c5e3ea33,f6c35e5c,cf398440,a96d4c8a,f981fa04,567851eb,75431a14,83e026,ff6649a1),
+S(70efa7f0,33743eb,4f25db9,c43463f9,77a2cba1,ab8e08f8,59fa7780,cf7129e1,f906a344,8cca0734,ed895706,7374c12e,14e6b573,ea4c90a8,b7376eb4,20adf7be),
+S(7ccc2d79,f905ef7e,83b888ac,ef445b4f,a7320fa3,79562154,d0482d62,cefffe38,b7453f38,9861e0b3,7596d5ac,e41dce1,bf45374e,845542bf,cfec71ea,76bd4cad),
+S(f171415b,58f085bc,cecaa5e9,b9afa67a,a05d9577,a28ac4d8,496fcd12,9b50d0e4,95257e0f,18ed2c0b,aa1202a0,e8f62779,a7add6b4,d601deb3,4944e59e,2e638d56),
+S(39baf2a4,d41f3930,33330786,9f181ce9,e15e895f,2f209948,999ba05a,350a08ae,5f4a9728,b84a666c,6a6e8318,9f1e6f91,7c97a419,1d44c8e5,6fd6c358,445be74a),
+S(b146000f,16103232,297377b6,f31fc96f,afd90cf7,27f0b056,55e41f27,1830c607,92adbf3,b453cd13,1e8cefd9,1884b3c,b7da48fb,24195581,fe59d23e,9725e0b1),
+S(d6127f7e,e94765aa,aa2c463a,dcd518c7,e60ad583,6bd485f4,574e9e09,57ba6556,31d3eea2,a91bdff1,6a420533,2e768ac,2531f0f2,c9d94656,26472c65,4d665745),
+S(cd28080,e877f416,d6302aed,aee760fe,a2b0f90b,23549aff,87ef8af4,3841a67,f67c8c08,3d69b201,6f9261f4,81e0bd84,568137a3,777fcf45,e4a4c90d,8338aa19),
+S(78d35f78,96872666,aa5f339c,b6c68680,ae42cb38,c75bc287,8e9dedd9,3b0ad38e,7544e0e1,4fa07cb3,9144fb53,7ca57508,58d1380f,cd1909b0,56b722ee,fd55217b),
+S(aebbd769,392bf374,2e771e65,761cb834,d8a09f94,400a947d,c6fcf062,3e0fdd6d,15bb21b,35f0abca,5f7755e,79cd222,e58cf089,af78cd0e,8e4a6df4,4576f6d1),
+S(cc7bd0af,bd44445e,64a77303,5b66a1ab,e990bc1a,475c0454,2c2e23d5,913c6878,b0bc23aa,53ccb546,51972c58,ceaf865e,1a892ba2,bb7bf626,15793163,14663e29),
+S(94b69939,f6ab4f6d,6b5a18e2,4e929afa,c83c0c98,cccfe6d,5b0c1487,c5915805,cf58329b,c8ef2ee3,52ee357d,6ed05bbe,ece97acb,7936bffa,428a6913,1e3e678e),
+S(4596a3e,b0156e46,c56b2492,6bf8c419,42588055,96d160c2,fea2cd15,1aa84b61,39740352,fe7ee595,2e114853,d0334099,5e9a97e,f3fb66b4,fc6b1e02,632a39f1),
+S(b577c857,297428bd,c331a8e4,e46afc59,f7b2ec2,be244cc9,f52a6d4d,b41025a9,529091ed,1e5525f6,e7746c36,575041ca,89ca74f2,7a7f1378,2a36a8dd,5526abb1),
+S(623cf92f,7d87dc8f,74661d3e,411aac0c,a6c9191a,1da93b06,4f756cb0,3b7a80d,6909b404,ccd9e564,b27f82e5,ab6348dc,de6cbabb,c40d964d,daeceeb4,d48d3acc),
+S(e9aee76c,9559fc77,5f473da9,faf84e81,3f1d643d,693cac55,3b96e27,1197401a,3893a6a1,10d34bb5,bf007cf,c116b17e,287d3ef5,2451a3a4,e8b251a7,90c5c2b5),
+S(2581ff3b,48d9f30a,e533c291,be7078c0,41d75248,fbe46a8,c984e6cc,3880dcb,1e15247e,b97fb35,14da7f82,895fdf41,f84dfcd,9501cec3,c12b1524,be8cd289),
+S(72162987,71924cf2,83db564f,c75aa820,4c9d0d9b,6acda46d,7e328c61,a3147823,88da7231,356038fd,c4af67b,3a852a38,e6e12c30,87388b21,c6f357b5,37d25dfa),
+S(3a25426a,b615a75e,f8a6d5c5,a5e632a2,6e8e79f4,59eb209,ad7594f1,1669cead,d5316c8a,6f24a055,1d8eb237,91b9aafb,7a00e304,35101080,a543c519,3331063),
+S(ab26ff41,8cf02d7,57a0f582,1155f54b,2b5f796,b201ff90,cd78d9fa,76b45ee2,6dc0d3be,9c7e0cf6,60e5441a,7b6fb9dc,fb24211f,cd727441,dcf86644,8e83ebef),
+S(9ac8ea3e,fa78c588,69cafe04,23fa3ad3,176b9234,5a3c4cf,8f2bd449,2fa38ded,4d8b4740,b0aa16,ef6a54c1,3591b0dd,58e4faf4,a28aa4c4,b1c730e3,ad66836e),
+S(4c1c869d,464634bd,d849b99,a04632af,b8213762,c58d8ae0,858af29f,4a26c0fa,8c557687,bf3dc006,a90f0c3f,6ea33067,ffc34b38,9a75a2ac,3ea843ab,d7af17f2),
+S(f73695bc,c6dd5e56,8185b3b8,a99182a9,f04957fd,33cb7013,d887a55f,32eb746,f615ef29,72d2cd2,c4adb932,a201567c,5672d44e,529a1248,3bcf05fe,d6b86fa8),
+S(41e8d3da,705535ab,b53ff304,3490e669,4c1f754e,713afbed,34b59a59,c18d3f9b,6dd0728,21533413,b6011200,e4320941,1df89a1f,efdb4c21,8453606c,957cebe6),
+S(623f4475,c0691617,1c7cfd60,2684fb11,24f934bf,524559f7,142404ce,d353e0d1,8c94a4b3,bb7de410,fe2e3d1a,c41f2bf3,c01866a1,5e354fea,596bbd4e,e90f08d6),
+S(961dcf95,64da916c,9a6ed43a,a8028f8a,8c65a1fd,d561cbf2,a0d80bdf,ef10566f,4d3a2dda,d5d81a8f,9e7940cc,957a4646,c3b7a734,457ed088,998b0c10,1987f16a),
+S(5273adab,8a2411b3,6e2566f0,a148d688,4003748c,c3bb79f,6bf48340,75f6ea62,780cb632,30acbef8,bca93510,74a28fb5,51573656,1802992b,52f64319,393cf529),
+S(170c2667,d45ccc19,7ac05e5c,2df7a0e3,37ca47e0,68f360bc,ee9c2134,81a0a8e3,6e82b129,6d24dcab,c529e4af,538154ee,319b40df,1cf31f7e,23fee9fb,4bd3a8dc),
+S(7a240b1d,5df36af9,b4d1b988,c428d12a,e64cebdf,280da6e8,dfe0d7c0,117f8e2a,d5a877a9,dc46a181,6939b345,6015c592,58591cfc,63ea46a4,d228ba1e,465ae6b4),
+S(6a6564a9,abb91408,c90a508b,252b68ea,7b11cb38,aeeb6bac,4eeee422,6058ff9c,2f4c5766,e3dca65b,f991b74e,bb0c64b0,2bd2668a,62e4b97d,8f3b35e1,c3ce614e),
+S(87aee56e,bee43b0e,d0fbe101,93218ccc,9d4f8d9f,c51a8780,e0955316,b97c71e5,b2979915,9110931f,d2d9f95e,d6d5217d,6d957a,c2bc6f3b,c23a4555,e19a76ab),
+S(193d15e,6ca2fb6d,6ec3b10,945f1174,8476fb29,327e941,ad1f8ccd,d7d41931,fb7cd3c9,2cd51aab,2b78b0a3,b9e5f78e,5846bdd6,822e1525,10d08357,3bbf1ba4),
+S(352834b4,5bff7ebf,b0a20cbe,13d51e8a,b4854209,a8c918e7,67f6986,b4c1f0cb,e2676927,9e22fddd,dccf5a71,c4b33ca1,f8e5cf24,43388704,721f3c3c,8669c8c3),
+S(843ffda4,5e72ac0d,b27a17e6,65fcb27c,34d325d1,325612ba,6163d5a3,9b16e8ef,e39834d8,c2ebddb4,791a5ba9,a525e210,acef4fe5,9184e737,851785ae,9b228d55),
+S(b34d4e5b,5f86717d,2c77708c,a14f42d,4ab21bfb,de36ff49,eca9ffb8,b92192cc,6e782729,bb40e31f,3a0ec687,7a6bd690,6282c723,5691fb73,6baa16bf,ccb70670),
+S(98b7f92c,4d4c22c9,2783b2ef,a38b71ba,477f79e7,85d4fb11,acfb2880,709b7172,e30e234e,af0847a6,ee61a5f5,3f0f413b,d68b115,d8a726c0,61032d6,70aadf1f),
+S(4e7e4cc7,a37110,6aa13c5a,e47e6962,eb774d7b,5b25d31a,7e6ac83f,ec89402d,b14d199e,9dbf18cc,e03f5cb8,e3e0b555,a6a7cde1,2fc6ba42,52956c43,27f874f7),
+S(4db22218,59bcf734,f25d2a16,3af8f5a2,58422913,34bd5e2e,4a322589,d0096a61,b99740ed,41165371,e1ddfe62,4e6f3a02,47ed46cf,4c589067,d12c3a38,b75701e),
+S(f1fa9b2a,6983e6d1,b36e4172,20b9fbb3,6ba4383d,cabb2da,845a63ca,8fde624a,539ecb7,cfeaec83,22861a97,4738844,53795076,1657378c,8950a660,251c50e9),
+S(eec0d4a1,f551ae4e,f54ba956,e84de711,1fdb93e6,3c7b64e0,bfd4ba42,ff91fa6f,d16347ed,3ea3e986,a1067fc0,a1e443fc,c80c6277,f1018148,744f5faf,65391c35),
+S(74be2d2,526daaa3,3ab34527,f26e6979,4d9dc930,7044da0c,babaffa3,be2eb41d,aec5d61e,477d998e,d18ade2a,1eeb48bf,82b34408,e6823fc8,f7b57561,f0c56ea8),
+S(6d248800,29578c3,141a243c,324a7e36,c694ff50,1adc4280,31ee3d1e,ca32aad5,58acf9ed,b1b5ddcb,72da7a52,6cf089d6,839b42b7,4fecdfa,b7e6996c,d80c3e96),
+S(7525d819,d1dba5b1,1a36a2b5,62a6e65c,3d2d1128,8f1945c6,7daa7149,5894c52f,458998fa,b2444201,b8a57992,50b76be2,f79599b5,fc87f83f,d47eede5,feb5351)},
+{S(c8e595d2,666f4913,1f375b67,81b9113a,d0760e5,9477ca17,8863828b,307488f0,a82cf2a9,d823af13,5c23a04b,bc12dd81,2c352a48,27e19030,8e089d9d,9c316596),
+S(54970cd6,a06f81d,3566c34a,ed5eb8bd,aa49c821,41b6518d,88efb994,a67d65a2,cba9701c,b3f620b2,b4756bbe,1d7b39c2,2226b871,19e7525f,ef9f11b5,c2ba0f36),
+S(f9b9b054,543a96c4,25baea4b,5b1d7b60,81596be7,7a06f02f,bcc4926e,82d2cc91,1ed468ba,7a674ff7,4e872773,85dd5fb7,fc1f1603,a5a8f249,c808aa14,775d54e1),
+S(5d3a25b4,dfe080a8,a13823aa,77847487,2e6ef73b,5fb862c8,5439fe36,cc93bd64,5f49d6f5,507baeb,5e0498cf,83f218d5,743b4d93,82cf0770,a734d6a8,af76c5d1),
+S(1c8ed0c3,6b0ce521,89f5ad75,8189df2b,77646a19,8fc3b7a8,9e48f978,5f903409,126ac278,e1194e47,39a5c44a,8b62640f,bec259f2,28f479c0,aa4e5abf,861501d8),
+S(c8665b4b,43e23686,e27d34c6,d6739250,4af34435,287e78e3,f9e054f2,33f22168,34161d68,636cc48c,56d9618e,1c92e9e5,83c5fa4,f87c1f8e,126b1ac5,ab79fa7),
+S(e7675296,10359a1f,29d2ed5f,4ee7cbbb,a4e9b5a4,5ed6cce,10d36059,6ac24773,25662f83,ea425398,328d3874,a63438ec,3995da3b,a5a731c0,45b8d269,f07a0b0d),
+S(875c0b21,43d3a01,b6310ea4,7726f174,e8b9ecb3,34b65ea0,59f877b5,e7455d8c,8712b814,a3ebe72e,df1e3899,bbd34bd8,6d021e7b,a2e9763c,ff526e35,4a4286ea),
+S(d4ef4e,78f2d6e9,b0e717f8,21c1a56,3902fe88,c47f208e,facb68ab,5c176f05,2fcbca4e,8338fa10,22b432da,7b40070,90473863,14e28e04,268ade75,57a2d554),
+S(31513428,e66de83b,a631a2d8,44e054dd,8ecec644,134c57d2,eae9f6c8,e5bfedf1,316bafd7,aa48ab94,ae682ec2,ee1bc88,f04f2c50,c975b441,f28143b5,5d4bc909),
+S(33260c29,cce9b856,dc9a50e6,d41746e5,e73fdded,1fd25d3d,c3659fd6,c2e72575,665cfbbc,9af473b,b647970e,dddc260e,d53af968,79c0cad6,e12bcd3c,392a646f),
+S(b49a875c,d46f3ed2,34c3b611,88046b4c,aeffcb5c,1c7b959f,60613357,b6fcc13c,76006cfb,21f12143,6684ecfe,1524011a,a08ddfd4,c26a96b2,f56da73f,ef05fd37),
+S(bf528e3e,7a8c7c91,9bc3e4fc,f0cdeb0c,7f8b58d4,4afa7663,e2fd2233,751e615a,c7e0587,674f3012,f05b7d26,f067b45a,8efcff89,bc2f341f,c0f2a829,b2d50b99),
+S(b358b816,5db58b6f,64118a5a,53b0f2e3,c319fc59,e4a57657,1fa54214,108d66cf,27cdd287,96758b2f,bff761a4,9daaf43c,8864d04c,dd6bb8d3,669f393a,b74ed23d),
+S(c8214724,1e0b2fdc,f054d7b7,75452bb0,98481f33,ef81f4d6,19fc8bad,715cbb76,25808ef,36f52935,700fc3c2,8f02a6a3,37b06ba3,75864817,806e35b7,26a3e9b2),
+S(88c95ba8,4f5fea33,e8d848c4,24d4be91,9bcf15dc,988fb9f9,b14648d8,3bda4294,339240d6,a490aa81,e6cd03c8,af69fc90,fb43de16,e456e1e4,40334e8f,216ba662),
+S(1222eb56,b6341323,87f28674,2b495da2,ad989e9a,f5dec72f,21022834,190b6a5b,30e95537,c9516bcb,8ba67b77,983f4eba,3a706386,af400253,2f54b15f,9894f072),
+S(5adf18d8,e472cda5,d379e5a1,4f66cee5,da7ac014,84b685ac,9234965a,27a0cd69,b36994e8,d17c5c0b,1219db4c,1fbf5746,434c094d,e53e63ff,3d9b4cd7,ba429d1a),
+S(bf3bc2,56f019e5,8c0861cc,91a5dfda,bee7f384,70e5462c,5605973a,519c682c,38356061,b7015d4b,e7f43f21,d3b76e9b,bce0c749,c7e0d96,e6bab6b5,8dfbd650),
+S(10aa56bd,a7ddf207,c898b73a,22f1e8e1,18fc453b,e1539267,be025cfd,c8194571,be79e52f,59320f5a,65626557,e6218a7d,a4cdde5e,ab00b23,9b411bfd,377767df),
+S(2b2c0c46,900e65c,caa1339f,34d1449d,91f937e2,2524df3e,95d9a370,d940f31a,615780b6,6839ae65,87a0bd3e,45d38f8f,d4413e3b,ca1afe68,944e7e77,917d0182),
+S(a5f75480,d53b0649,dd72d8eb,a9275117,b84fc3be,288fa3d5,e274a287,27c2e669,a766ce73,12b8df27,aa950f7b,29c767e,fcea1614,de5a6b42,3a57becd,c496d6c1),
+S(d886590a,d11c94e1,9aab94bf,9422377b,528c1302,20c86f14,f13ef07c,34a61d2d,2978b774,2968150c,9dd0739f,7b9c4f0f,a5214f02,f828debd,6826d5f9,62cbd01e),
+S(63bf32ff,4dda2eee,8aaddd62,8cd75f44,7535c843,19441e07,801f7339,89ce1ad8,6544e852,8ed612f3,d4df9037,4fd22756,3a5d7edf,df910d68,fb4571b0,679f1238),
+S(2e42372d,88db8b8a,631c083,ef77015d,c98b13a0,597c6efd,141bac97,ee8dfce1,6454e588,664fe42c,1e9b6646,e82889b7,4497d435,e46c2a77,fb05fd10,c28986f1),
+S(4d3b7d17,a4a7d26f,7e79fdb7,477a8f42,e208014d,3f61445b,6c921a3,d5808110,9408735f,f9c384f0,46ff6b78,5ee8914b,a8da4502,6299e09f,9361fae0,25e8a19),
+S(c0c2f170,44e952db,3b5e3125,e75c4be0,4b91081f,1858dd2c,ca1d11e3,bfeb42e3,712c1211,f321e4ee,5b014757,87a7c784,fa00d429,fbf1ffa9,a3884a10,ab633dd9),
+S(832a63c5,105ae2af,8ae9a062,9f41bc12,d6d9a16,ad764346,fbf45561,fc721e3a,8eb47da6,f5ec89e9,483abe86,d9419561,26d78380,a6818efd,1d6fbd90,9088db06),
+S(56db6941,c03ee58d,c4dca632,db498e62,1872a29a,41c42082,79ec7454,bfdaf0ed,c29ca102,5ea7525,68564f1e,d15153ec,aaee2ec,da3ace93,e580c8a4,93e9e4b2),
+S(3b46ccef,dc3a713,10e4c8c9,215b3afb,65c354dc,c37700f2,61635e20,209cd7cb,6fd7675f,b779a43a,ec66d9d,66f47d3a,d41c3e69,9db107a,ece85e75,16d924e),
+S(ca4d848e,15b27c5b,926cb160,d79ddd80,c618e30,1d0fc2e7,3fcb56af,5ec7ab10,604ec,e307566e,ebaa545a,9a080f51,e2a0b5ba,4a09c8cf,393bc4f8,6f483d27),
+S(53f8eb4f,c8858582,e5990bd8,ebb19e30,fd6dc262,ba6102cb,3b71b6c9,e47c764c,30c7dc5d,4fae504b,56a103d,b9318647,c5582e09,e0868bfd,ebf2d7de,e5f6fbdc),
+S(4754af73,cf1cbd8d,c231adb2,3cbb589a,705bb81e,b8ad0ab2,3a61ce0f,db6df49c,6784ed08,73ed3a36,14c7b35c,916905d3,dee4ccc3,ab82ed94,1dd4da1c,1d211af6),
+S(3c593952,1d1b1fd6,976eec8f,9498235f,4ed5594f,73f0cf2a,14b8a78f,196888b2,4636c4d4,aa2e1f,c78eba99,2dc89151,3c4e380b,24aa1701,8e99785c,2088dd73),
+S(a7b104b9,7c1c0fb3,1d30a49f,b2377ebf,df7020c2,d77b0b8e,b47428ea,c60ddaf6,9d7f63be,bdf87d97,d18cdeac,4f97e900,f5579bb6,6b5da626,154b3950,df14261f),
+S(234cc1eb,2097b150,a72f1e7e,4c405679,69cba876,f22a9828,4e639e92,2598fc2,677e291,8042accb,e4639988,d49c85e0,3cafe4ee,601eff33,398f02da,9bffce39),
+S(b7d66767,4d02da2e,3c1692d5,1dd8d383,b8456c81,c7cad8c8,b2d55204,79c10ca8,da5b5c03,1e4139f5,24920932,74b15eb3,bbd2e5f4,95ce94cb,cc4184f7,f2344d40),
+S(c32a186a,6fc91998,8df6cfb7,d2a39e03,9a60f1dd,7852da99,9af32688,200f2a6e,cd027a9,a1c5d0c7,6381638b,21f5bf33,71514b49,9733cd10,fc36e3c3,3e16d262),
+S(7d824a92,83976eab,a0f7aaec,4619d13d,abf75df,7062ed63,ab09ad73,7f805f7c,81745e89,a8b8c725,32c81120,c527e5bd,772adbc8,e93c4d03,856596e9,942865e7),
+S(ef890d13,a3567150,2f8aec43,59e2e293,8ac0511b,13f99ba3,c1b30a0d,393e0e65,d24a9d5,bab93079,5aafb32a,fb5dd8f5,9589b27c,76a3a5f2,728b5f33,3aaf2e6f),
+S(49e7a49f,df1d0355,5a83db30,1ce7de93,84d50894,36e4881,33b31031,4b8ed333,86f8051b,5ddcfd72,3c9b4961,80b5f534,48f9f20a,6560698f,43b5f59d,2205d5a5),
+S(87a54ecf,9d6adc7,148da85b,3aacb374,d65eaf67,a978fb07,bbc920c9,f68de37d,7500154a,11651fb7,16bd4b1d,7d74df87,d948ad8a,441cb9b,74523eba,b06a33b0),
+S(1c75fbec,2bb178f6,58f8bb0d,58c59d28,37c5bd11,e7c9766b,fc8c71c9,5bcb4fd8,ff17df79,c948583d,ae95c4c0,2be215ca,94189a75,18860da3,55a29332,39c3be51),
+S(8b50c207,f02e2d39,dd556a0c,54deb2a3,3a96e8d7,8a1a4d5c,9970986b,46caac7b,9e634e62,448e57d8,8013de8e,6c1dd7fc,39aed80f,5e118cb8,2a659f6c,694874b3),
+S(7b4d6114,72e2c781,4cf7a7e1,b2e0587f,f7c758d2,96bde162,7071d9a5,e9ccf458,54092c01,2da6117d,bf24543b,c8143b8f,bb90cfb5,106b3a78,18e9ab6,adb8ee2a),
+S(50d14331,162d65b0,6ec4883d,936438c,5cdcc98c,3265b6aa,3e9c898a,3157eddd,2494eb8b,894cde06,5238cfeb,8841d428,e6fc09ea,14f31250,e921f7aa,c5235e7b),
+S(c5638477,15e5e0cd,7412657d,63d27e6d,c8126eb0,b353acb,4146e93,d5485293,4567dd06,d6c8ad85,35415a06,eaf9c387,d15ad758,27de781e,f0b2ddd9,fb0af414),
+S(cdf1a81d,b618837e,77c4c319,a78ff7c5,8ac2693f,f3ad9d76,f5fe4639,8523d152,3d29f818,1ad01726,f5a57299,e9f8d632,ea50a6f8,f7bfd917,c60cea89,2e026e9),
+S(26163253,c6617468,f1b78426,b153aa75,fb2081ae,91f0291d,91785fa2,8eca2271,fe9ec597,5be387cc,600be7ce,28ff3092,fb0cc11e,d235ebb3,bca21d5a,6761f2d2),
+S(ffbae863,2dbe89bb,13a44bd4,85685746,160e9cf1,5e02c547,a73b192d,3458b265,c267055f,ade9c7ea,c0ff5356,b3f1062,c764c5f8,b182207f,eec0e345,cab843f0),
+S(86e20f88,bd61ef73,2133367e,45235980,b2cf0cb,9801d795,5a3a8faa,53eb6b31,7d7fc09d,a9051669,1772b443,b7204199,51587976,3110865e,96f1e9d8,676ef639),
+S(7be39fab,669be73,cea39240,a16922ce,5f1c3bd4,f4036d17,97599c8f,d52bcc73,da152535,716ce5d8,3b223f72,1ead270c,d2f78d83,f1f6b8e,61c6371a,62794829),
+S(5dd3e3db,62673c67,112f2457,dc42e903,3b5ea586,676d0411,2c913a03,559c9570,b31c875e,977f1205,3ebccaa7,57e69cb4,d3632130,999b5a5,ef73c4b0,5950cfe4),
+S(54692082,90733c07,3032ee6c,208658bd,a87d359a,bf145837,20bdc18e,9c3abf42,a3c73d09,5209d326,8a51d21b,37058b54,93636657,c699b58f,bd209210,f936f72d),
+S(d170eb9e,bd80c03,282137c3,a1a36112,e2d965be,a530f5df,fdb34634,32f0e983,82bebf36,6b21bb96,ea0a162b,1a91557,5679c33f,ceb4bce6,2698822,2db01840),
+S(2ce91172,e6c42333,67487389,f31600ff,f6f0e5b1,3f7dfef4,5c3119ce,5b5d87ce,3c95d405,30b49147,5cf2e0b,e5e2b0f7,ec84551d,931d09e6,76a1e552,c221199f),
+S(b133731d,95483e43,cc4f56e5,127279a8,a0d32cf,26e33971,bcdccf69,e3b04f52,bb69ce36,c7bb5973,794fa89a,d4bdfd69,8bd26211,caca7866,b12b5ffa,fe4c27a1),
+S(c9e45724,8dbba2c2,7c9cd09d,de0bc5e4,2bdfe86,2f3a2e1e,12c9126,6861d76a,f36e6024,f5f7c255,e684d368,ed336ee0,668e6bf5,dadd8fb4,6c58b03b,a1417014),
+S(99b6d58a,d4524f00,fb7d3c0d,4a521143,fb45283e,2a8f5ba0,e85f1833,5c979828,2acebe0c,9de8dbf3,14b3140a,fcf81a74,b1db3e46,bddd4aed,9014848b,c1598140),
+S(2940748f,7feb4edf,c05a0af2,4ada767b,aaac74a5,b1f7d83f,c5590780,640f6d2e,d30e19a7,bb721cf7,f2f47351,a8754476,f97d96dd,39cd6a91,4a97dcea,597e2258),
+S(7b53ce3f,456591f4,534d9476,66e01d38,bdb80580,6555d569,72404e0f,5963b5bc,c03dc414,99b7f26c,cd7cab45,c9cce637,30f9b615,19fe4d3a,e9410474,b2f62209),
+S(f1e0953f,18f81648,1bc8a21d,34ddb5ae,1fe02974,1dba2322,c5ebf200,31eab9c0,93e9a091,9c6bc9a3,e4a161f8,3f94d274,b1ef4ac6,edb975bf,b62cf92b,97f1baa6),
+S(6037926d,772b3333,eb75a6a3,381b3784,ede8cbaa,a4c1aac8,fe09ea20,ff3c6520,45feda12,a4bd9518,96e83b91,bbdd05c3,dee627c8,39c8fbcf,e27a050c,9b082ad6),
+S(7f845fa7,49ae8a9f,cb394dba,27e7d86b,e16eb956,b08dadf,a55afca8,5a1c6850,210c0682,9d62dbd3,d1917505,4b428305,78444ed4,ec3ff807,f6593ec2,f39dc1b2),
+S(d3780383,8c1390ff,c1b679be,8192b8d8,4369eaa9,5eaacb2d,df7b0d83,4fae6ab,e9d5436e,79c4622f,1ef6a773,af736727,d93f5f09,3d0abd64,acc6f37c,4b7b3975),
+S(58fe6127,196f0b87,8acac65c,c0a73b52,7c979d75,ac15ddf9,7858bc4,e4f40400,340365ce,74466016,4887527d,7da89ddd,69ea1bb7,93f886f3,654dbd7d,6b9ea145),
+S(798de133,1d82f361,6fe2c597,ce8ef82,9e1419fb,1615b76b,e4e44929,518aeb8a,f8eb34ed,b9275578,74d5abac,2568b1c1,9a751cf7,f2812b64,9b75da50,e0c3d269),
+S(ed7c18bf,c58b3202,c97a31e7,4e82aa88,c9d554e0,18afb73e,2b8324fb,bacff740,7337a0d3,f8f42f32,ed0ecb1f,44907dc5,756a877d,d8507b94,442fc5cd,41d5432),
+S(41633de2,56410771,aa494b3a,3390898d,e78aeb06,3e8a061e,18c3a2dd,d9a23f5a,ead81878,b28062b3,e421c0e6,c1202092,121fff76,80dbc99e,7af681fe,c700ff15),
+S(17392b06,3fcf041b,2cd4672c,780edff2,9e1e17f1,356285b8,e80ba54d,4ca6a67b,af99f6ac,2f9e9178,2af6b677,7163a0e4,b59c4d90,63f8c2c3,9167743d,38231860),
+S(c4229eac,5a8333fe,75e90571,5ec787b1,7ac350f3,3ba996d7,8f1c106e,d5f0dc3,9186b6dc,6cc14aee,8833d89b,501e4fd6,ec8158e7,2f96530,4a3a6577,8cef072),
+S(a985efae,9458f1f1,8ea8ffa5,84d7dc63,25cf125f,a210886a,e1b1dd23,84c2e786,1ba41023,1036e351,7bf58cab,5870f244,315c79f1,edce488d,35907eb,a5b5e3c0),
+S(b5fa6b30,6ba70431,ca33cd5f,82cb1f50,3df04589,c3c66b60,dabe0fe6,e09356a6,c1ff1440,3a4ee6af,940e1af8,f9c2596a,ebcf3691,8f9a77b9,730bf075,42c9fef7),
+S(c3ce2028,9e90190c,5ace17b6,7a9a23c3,19161a36,9f33cb91,5cc57416,292d0a8,ebd0b498,59711041,3560bd36,1dffc830,8906263b,a0102ac0,2d871e34,856aa371),
+S(ee376a1a,fed708c7,de2bcc3e,54a01427,5e75d8b,a6d8b417,75005eb6,8b29d94c,9c3833b3,1d73f289,cd3064f5,7a1ecdba,48194e3c,66d82f2e,e3086749,62b8aa52),
+S(aa25c37,a2e2be4a,7c0c9e4c,e08e20b9,88de0af,880c1a6a,e3117910,9e5b187e,f469297f,1e3010cf,67310d9d,719f7a59,258d2184,1804cf55,66615800,3691a7a6),
+S(10ad3adb,7a865784,c2e044ad,19a21199,77cdcf69,3d2d3292,26ac352f,c75d11a9,1e6858b6,1deff39a,1f69708f,56017ee8,a332ab60,a48e2783,e2dbe50,a176f355),
+S(5aac0d0b,a2a5c410,39541de6,c53ae936,6fa07ca8,373831a7,fbd87a38,784af72c,4d82d068,9a91355f,6c51df81,78964947,95614a2f,5b5a4d07,20f32e1e,7be78ec2),
+S(490efeaf,914e09d7,6bcf2c9e,15553327,d971c363,50fd4134,b9dac978,4a6bea86,bcd02373,44959244,9eec797e,6f50a9a0,5153b3d0,436d5d0,361e7c6e,cf8400df),
+S(9c653d81,7a6f45b3,d7e001d1,140fab91,1ee8fa84,1c361ec6,2a62c0d,1f617a19,ccac651a,db81a595,ca2eaa78,f6ddec8,c18fa0e1,7ea19db8,ee4a431b,87ea83db),
+S(6e2f2c34,ac914200,759acbba,28e9a2d5,718a682,61d6afff,46171c95,1010c79a,70d43c78,d52dd510,ca0660a5,40ccb0c7,75c446c8,cc5544f6,32da3c20,8fa84e80),
+S(b5b1797,730398e5,c056f91c,3c63d762,cbcbf871,9a032ec4,e53a49da,6ac4c7e,db4299a,1e5d8330,abc09c26,191c592f,556236f4,677afacb,b9c08b1f,2e0c6dfe),
+S(93beaed5,d689a857,a5c95522,3520b40d,a9616adc,a58e684b,6c47b343,cef0e604,7e04853e,283c490d,a9751ca2,35a3dd37,11597e26,6391bcac,443023dc,e7b58199),
+S(d67e7b92,d30dcc65,ab6dcb6,da8daa6f,42aaa41e,980793a6,2cae02ca,14386b45,6903a40d,ada98666,40583bb6,7baf9b3b,4320b11b,ed904987,f11f6ef9,e985763e),
+S(31d4214c,d168bba0,cde7dcd7,54415c1e,1313c411,ed3076a1,17e29a84,184ede0d,bc2ec4,65cd6863,5389a499,970ae4d2,953d1b8a,df8a6190,8af2d7bc,48c4254d),
+S(4c03265e,9d1b0818,a0249b0f,acaec62d,13525fe3,3a963dfc,7cacf779,a94e42d2,4fc53174,762449a3,a54546ef,1a1a6012,4fd935f7,13fea628,1eb231ba,27efd9c5),
+S(9eb8fc83,a180b5d1,d720fd4e,6c873866,1221f706,961b3087,80b226f,7f3bc065,aabb671,9a5ecb53,9266139c,642a24d9,892d3367,146d5718,bf6e2efc,d7db3dcb),
+S(7cbaf999,bf2d62dd,cd5d521b,cac74f1f,4e0dbc64,ce42554a,fa140e01,c1ef4a17,a812aaae,59aa8835,7095750d,b0efce6c,411c7d8d,32077185,22470643,9e8b4094),
+S(a1cf427d,9a247655,f017e35b,4f5dc500,f91d2936,b54bb1b5,cd928f5a,add7d9d5,92e76ff3,8fc6dd90,67a38f3,c974770e,ff7fb86b,b9c4cf19,724decf7,682ebe14),
+S(ea47daa1,d527592d,a1b67019,acf67b5,3729c0e0,44ad194f,4a884df5,b64d1e88,8a8e6e8c,70c33c68,d249c670,3133a665,359af2f6,1b339a26,6c64c227,4091a909),
+S(d2bbc061,a7dcee9f,a9d0d95c,5de7c07e,6db3ff3e,1a051042,532c0ce6,be80730,b00cc82e,6a643f46,2a605720,c862164,da039008,34f30f57,77d15564,4a85ba4a),
+S(467b855a,410a691e,e4b0a463,4252d6b5,c5c6f075,acd2d942,141c2db1,fd6daeda,6fd32e37,9ff7ac09,7b9e987c,6fe6dcf4,628756a2,48dfc343,9f127a64,50ce339),
+S(841cf771,c0ffcc5c,4a5d30ed,2ff39fb3,c7e3d76f,b9ade58b,2c9c3f91,30589bf7,f4bff35d,98ff8629,a9b48cc2,fad49d8a,88ae7957,33e573a,82649d75,cbbc4c32),
+S(5d9f954c,d2972a26,7110d9f7,dbd34b85,ad9ad480,769b7d17,bed01d45,d523c583,ce860464,688413e6,ba64468f,6fde939b,1f9e3d95,b7955a50,6e92e235,c1f85b87),
+S(1dcfbd70,cac8cb18,31531b3c,256ae415,eb846804,663fa826,7b1edf87,11d076eb,9579cfae,31cb98cb,62e54b86,cf90abeb,4b537093,898b732,98263988,b870288d),
+S(6fb4b3f,2ee3128f,14d810ea,a989d5b3,5feccc55,8d44e3c1,694e5dbe,14d98cd3,f67c8f00,9205f82f,cd2d801c,6a19e35a,61ba0cba,fbbd15f5,c7259a23,14505719),
+S(e17d12cf,d261f5ea,db611d02,8f3720f,e4d00e61,5383389f,48c59c0,791263a7,b8bbf87f,4aeda898,1c3c2ad1,f474a7fb,69f45180,57a8011d,7456b688,3839bf4f),
+S(3fd5048a,4e2ab188,6f0b1cb8,cdd59182,3e94d853,b9640a33,cb3f5718,ac30f3eb,14d769af,5dfb719e,b4a154a1,f93e10b5,c1d23993,36e1597,2fbe4c76,9c088441),
+S(36941001,5302571e,d7c4cb7c,3d479f55,e89193f7,5b52bc7d,d65ca207,41d14b2a,c747a1d8,af196bed,df1c5321,d58a0a19,171ebf1b,1a855b9a,3f90f16e,c333393f),
+S(42b5541d,e161fd92,f2b92c12,826fda42,49f05c1d,2f79d951,1ee4fae5,3269e1f9,d6cf742f,11daf585,bc7b4be1,784d55de,2ba3b918,4df6d81f,723eb593,2862dc5e),
+S(dcfe0685,c9452c9a,be819a8a,574bc35,760263a5,edc0e018,4093cf0c,b4406acc,fb84c487,873ee72b,49dd61e7,46a8cc1b,8485c4e8,fb5f9725,a17d98d6,62aa9d58),
+S(cc5e07b4,c76bd9cf,c9b040bc,c3d0805e,487eafb4,430f2265,adabe2e,7bcd5874,6668bcb2,7a297c14,d4a046aa,59028e39,be049894,764193b7,9dc1658b,bbdc3d25),
+S(74cef0b6,e59cdf5d,47244fed,491b6c0e,76d9b185,1a3f084f,9f783a67,d5f4c70b,3560eae,9a4c4b65,3831bd98,d97c5213,25b07f32,d40b215f,a93f2332,b6a8209a),
+S(dd1b1359,4ee43b44,1f54a620,6e6295c9,80bc664e,3b5c19f4,273e878d,3340b605,4db95cc0,f8e2020b,c0f0eba9,d21cf630,e6c5ff77,dff8bb2a,8b496dd4,22cf6a0b),
+S(f42815b4,76b4407,9ec05cfe,aba6f179,b72dea78,767fedda,3464e9c3,53b3ccb0,89004efd,2cb91fab,7c8908fd,b454672,4ad8d851,55473b21,e8e3d984,6d913098),
+S(f20d41d8,c096d2eb,d480f9da,5df1bff9,570dd299,16f87ca2,19ed3fd2,d6c072e7,3eab3c48,be7e6d6c,bd1eed0b,33c54d49,72d96f86,67bd857a,8fb3190f,92b22a9d),
+S(d84b9d43,20d76cb6,13df70b3,d0dbe935,852fd9b2,86978807,b6288a3d,27828a28,73c0bf55,de9ae18c,a56b98ae,3bc86a48,15d1265f,62d5856,f0f2b182,b4596941),
+S(ba0ed2aa,3944454c,7581223f,d1dd113,9d340ee1,11d08d7,98f278ea,7160ca10,766d5ec,49b48092,c007fa69,a06b22ff,e02cbc30,6cbc75ca,1a5f0058,73c44299),
+S(b5393ee3,7a8170c5,bbbf70,fec33e90,71e52f4c,47e21d79,e9f7413,d68050c,7eb93838,f871d769,733ff7e7,d21e3848,8632b7e1,6483202d,50a2fab7,1fd7180c),
+S(820d66e8,41b5de10,e28c147,d43a0116,6cbe764d,c8ea6a42,e7743732,45b84190,cf3a65e8,80727c33,3e693586,78033805,6482b2e,53889a0,bbf834eb,c94ebbf3),
+S(247cc086,26f54562,8d48634d,4bf7348d,cf60e598,5570527c,c20ce901,ef4172b5,acc2fc2a,9c939cec,a51312c,d56734f2,87d906fc,c4d42f17,82606c37,b0584dfc),
+S(81c41e2e,752e0d9d,c66cc618,5aafe042,8733913f,5b597ad5,66706d72,da80dd05,8ed860ff,846ddc23,e466619e,480d944b,f171707e,721110bd,119a128c,e8a623ef),
+S(24a22359,7bca9222,dc0c82f4,b7ed4ced,f5f41ddf,73e5c8a5,88bee89b,3b21fecd,7555cd9c,da2e75c6,d8c5fea1,50e3feea,b3ea1573,d7c163f5,e43b3d2f,31b0f5e6),
+S(db074838,ae29a327,b85361fc,c9ad2bba,38917d58,c17ec58,9c22d6a2,f9839185,a1f7280e,35bc6b7a,b05c1704,abb46a90,43b3f7d5,30434450,f94ea1ff,f787412f),
+S(6adb02c8,fe669d1a,8c7fc3e0,60eee0f0,73409111,c6013619,770d0ccb,bd8b950f,3fc12c9e,b1d19234,737a4e64,9aa06032,35d4538a,ecc6cb9f,dd1f7777,46edaf5f),
+S(e06dd5c2,1d109fb6,3e5429ce,11fd5a40,5118a84f,863095c7,dbfc2374,6ce1429c,961b9d5b,c5b82b23,c8e69b15,15e28700,13094f48,c8ef49d9,37e1b440,c306eec0),
+S(1b599e47,ef4e5369,bba2a71a,98cb03b3,f5d9d30a,a5e309d0,cf7e2d19,27f95c18,5a40c3b0,b949efeb,ebbd0ee7,1a81c9f3,d6fc20f6,c9effd98,f0492ef,82710072),
+S(92da076a,ca5c2267,67abef5c,d06a830a,a6cd1d3a,2224a845,184b2e7a,275eebd0,db28e087,d7e29f20,d78dfa27,bccb47dc,f2a3a9ee,db0db1f2,63dad719,4ce9e997),
+S(afb97660,7b94dc70,a87a2be6,53ac2f3c,9a2a474d,ef065f77,b06fd417,44b13992,68d14dd8,e3caf1c7,e39ad23c,f8e83577,d047530f,2c7d5b35,c509a3e0,51eb52ae),
+S(bf4f278b,e99d1297,742600d5,d7ce7791,970de902,aad9920f,a8083a3a,a50229c,b4ed5f80,f3995be4,22fa8237,d77b1424,1fa974b1,9b725016,c20e555e,f0ea2bed),
+S(c059a980,f1a7c648,95a1acd0,f9d2cd8,9dc02acf,c372740b,86fd64f7,426ff54f,dbc12822,e8155685,170456c8,4d548f39,afba1676,15655d7c,7b8c31ca,499902b8),
+S(2f4d9b08,282d9adc,2d80bc6e,b4c1e2e0,553971e1,f42fb8ee,be615d47,61c023a8,fdb056fe,3604068e,2f5e5223,d3076d67,41e939fa,f2e7d0b1,76d3ec89,868cbc06),
+S(a7425d49,934b13ec,85aa5c30,d628b94,f0054374,19c5a0c5,6e126a7b,261c005f,f475be59,d5dd5a7a,42d15531,df24fbd0,12d84fd8,e89ca95b,23bdd70f,10b0326e),
+S(dd3d3a96,cd232751,5820439d,6455bb3a,d749947c,884a2e90,5791253b,aad726bb,9afe6071,4de46f80,d22b7ac9,a555a7f0,6e830819,437e9f98,b944d8c1,d4722027),
+S(7c427ec,eed88d6,a48f7204,e43ce8b7,a4c5b6fb,ffca57b9,bd128903,c3c7fc46,495bdff1,9b1711e,918448e9,a46416de,e2d51771,43007e1d,c1a64b4b,8d1a815e),
+S(bf610437,6539cc63,4a1f3e2c,4fc3f762,69752d64,2756bbfe,83bdc404,f7be496d,5bea9e3a,33d7318e,9c03baf5,3e5a0232,440ae61f,25407ab4,23514eda,1a69513a),
+S(f2dad2fd,178ac78a,168981db,14c4fb0a,f7e69dbb,453f0d53,456470f0,a22cc730,e571813b,2a091f17,23c21818,789e78a0,e23e74bc,b4d037ed,f8f49fef,9623f42f),
+S(51243664,8693af91,8c79fa28,d7c12b37,db24f719,bc0dd0e0,28c6c1ea,19aa42e3,fa116d7d,7ebcbfdb,8ce76cbb,e6203cea,25b65559,becd1ca4,65f7dee2,6e49746d),
+S(75f316f0,c9706cda,9cbf6c8f,31266c75,5183ee71,a098359a,ef06fc3d,ad645fb8,518d90ea,af8ffe9c,44cc122d,7659d292,8a979e6f,de2654e2,e3554b71,b9e7b820),
+S(565d92c9,93f08563,f65eb65e,6ae4edaf,ee409d1,e00a4e74,5d439d84,a431a5bf,b8cc1eb0,1a532023,ea17bb56,f9345420,a40b0a7a,d247ac43,4ac9347a,51bd0f31),
+S(64b17b4d,a0341dac,bbda0a6a,e386e2a,64d0e517,2a4b904c,b26e45c4,497554e5,4028951b,3f17ae55,d114d6f5,ae793460,91d8d00c,c1b2aca4,f0d5b51c,3f8a7492),
+S(70ba7f8e,65669610,5496614,c6c1ddef,b8c23f0c,847d8be8,37b4699d,511e3ce1,cfb1028a,2ddb2865,633f358b,e6439ba9,9fa8b1bb,eed6d988,e8652661,9bfcf28c),
+S(84c79c6b,23bffd84,4cdc85f7,3180f451,3e6cc4fe,adb7056f,7de267a4,75605d68,beb80b8c,3b2ddf4c,2269431b,bde9aeb3,55e97faa,385c8776,4bd15fd8,344e8ac0),
+S(c6f4eb7,106cfe74,82cdfeeb,af421137,f8665713,10616b0,b2b5ce07,8f5ff9bf,72ccb3ee,52b77765,e931298c,204e7b07,57c3845d,5abe7ebe,37db5aa0,203fc81a),
+S(c58b8483,6b41a2c6,f56abcb,61cb493c,a314063d,9091ce1d,9b13cdb3,fad79f90,a1e846d6,5fce2f4f,37e210f8,cd7591d3,fe1f6c93,7fa4ac4,ec295078,7cfe84d6),
+S(96e430c8,2a74ed53,7f5a181e,20faea66,ee77588d,66eeaaf7,50dd5b7b,e42ad21b,5aa2ee54,96d711c6,e8b95609,ab383b4e,993f928e,d76843d4,52a5a1fb,3e137368),
+S(53868e1f,bd086477,60aae23a,3f2763f9,cf6eed71,19ce1c17,b226b48,fa85b8cb,b94b6a7d,4c86d90d,98c8d359,45949b0e,9c958ea7,651c901,90e5988d,e142493e),
+S(d6bbe341,8a6bce46,2f091e5b,161dfb15,8c454eda,add230bb,254a5989,df9ef899,f1690322,6db63393,c01fb1ba,3bd83bcd,dc95741e,8ffad9e,56efdb08,837340ac),
+S(a496bcf,4317fb5,c87a41f2,58e716b,98f5305c,fc957c83,c2c40397,49de94d5,2479a3ed,e3fc60f5,ea880b29,353663ba,6d9da119,52468686,bbc2d0f4,fd8dbe21),
+S(5bfbaf07,3c1cb96c,45bd1191,bacd3bab,8c33ef0e,e9708164,98240b52,3f943be5,96009bac,6fee957b,2e26f717,ddf40b4a,69cdbd5a,946e70f8,b70587c3,b7fded2e),
+S(955fa716,f7f0eca8,325ead5d,dac3fed,bc477c22,3c0fd563,2e37ca69,ec79f61a,418c98ff,23d7de2b,2460806a,75fc0328,5ffe9660,b7447a36,c088883d,623476ad),
+S(99d3b933,e7d8c8,e1480e6b,756732a6,445036e,9b964a32,53f3cc09,f3d9211,97e70dfb,faae8f58,5a7b5da6,b0c775f4,9c095d13,5526b521,d57c29b9,b2892dae),
+S(a01775d0,5b9d2fb1,277f4c3b,6edc8f7,c342c3ca,e9244fee,57cc2d9d,d5b096de,376293db,5c929468,236828a6,1e291811,316ca7fd,90efda51,2bd750f8,62ebabd8),
+S(697cb417,bea89412,91ec8ed6,f62f1914,96a22208,905dec11,463014bc,2e9a04eb,d5049ba,aa04b285,f3085c24,e54ca476,cb266f3e,15699d12,fd250e39,ec4285c9),
+S(b23ad54b,f9504c8a,c0bec876,71d2d41d,ee04bbcd,c5ba224f,85e3d4b6,84d8889a,8f0b0da9,db0467aa,5b21addc,d3951b72,8d23099c,47bf7767,24e1eb23,ab32e7fc),
+S(c8af03ff,197dd38,cdc294d0,28c0c418,2d517dd7,54669894,812d870e,65160c40,d4537dc1,e594be6e,cf2e3ab8,6f42cc3f,a70015a9,ed8e2850,4fb6f9bc,676be0cf),
+S(7ea5647a,f0f8da46,6e6b0615,28d0f472,79ae2a2f,5eaf0dc0,64ccf902,e060cf1a,bc5a47f0,d95e37c2,ad9c5fc8,48eed4f3,c62c974c,9b96b250,ec076851,12a88ed3),
+S(78cb2c40,71bc6abb,cbafee4e,cd413181,cb1b5483,ea1db7e0,f902f31b,346f7ac3,86f334e5,5560d9bc,60d8463b,269c2626,45eb9964,970dea35,eacd9236,3a36d198),
+S(f968919a,7d90997d,5863c9e4,e214cb37,51dfa039,75d876b2,3f1376b4,ab79cdd7,ae3950e,56e4c856,ee56e236,bd581033,6991f8a0,e9212c8d,9e9079f3,9edc2038),
+S(d7c2fe4,6d1ec3b2,3dcf9992,357bffd2,aea9bfea,da187cdd,6bbaeb2,51ebf663,ec953c2c,5fb70a14,b21791a5,979a182e,c3facd73,a59d0f50,c3231485,f376039c),
+S(63aa7712,4dfa263b,fc8c7b,85dda505,14d694b4,5ac9f06e,1482105d,ac04af87,d368c24c,18de3ed8,43f521d9,3633e9c1,53627e54,bdc10eef,15491802,41dbd9e5),
+S(47fff446,884d94f7,a1b2253d,2f2cb718,70a6a42e,36f63feb,65fd7e98,213117d4,ac52a32f,55dfecd6,68b61733,3fb4b7c6,fbefece2,d2cd43f5,667bc42a,f17d02ef),
+S(b3d96bde,5770d471,1a91b0df,17c785c,ff7f51cf,c4d46c27,7dffe07e,6c5d1173,78e408bf,6d204097,40a1145,becb61a9,c78120c9,957c6457,12254e2e,f5a1d77e),
+S(f17f1d4d,7df494d4,70321d27,420deb68,22be3877,78df53b2,37876928,d6b2168a,4398f0ef,7cbf1188,dbced020,7b2aadce,440b1df1,7db6870a,a05c6d56,4038306d),
+S(10833a6,6f75d109,e5251b43,f05d9069,2bc216a7,bb06032f,c2d142f3,cb1eb1fd,f77ce6f4,73e861ef,23f67a77,a5052dc3,4b617279,1e69a688,308439e8,7d91bfb4),
+S(301bd783,a82ad1d0,daea7641,6575db5a,1763481b,3c2f94a4,788f7a54,6f9af647,66ee6029,13b6bf11,e8e19392,633fb8b9,e2a3dc51,bd891ad7,3fb80d31,854333be),
+S(98fb5877,816a2c9d,df0192e7,beef06ba,c19b3760,b82d8e08,1f6b2431,dcc20d6f,de59596b,914b994d,83a68c1f,eacbfb8a,17b9c54,9561fd48,4f7f2f80,bcbc24cc),
+S(5247f727,1de92a64,dd35147c,879ad2bf,4cdce035,2c077e0a,19164052,e19e2d68,75cae57d,3e54bac5,dd41655c,f62f6ec6,7e84255c,bc0bd176,aa505569,675ad042),
+S(51d7bfa1,5829219f,6af5d2a7,1ff220e7,9de62e7c,a3909d4a,37c918e0,6b60504d,9d1a5e54,77025129,1d42c64f,14d27eb2,cadc09c7,bf3899b1,b85119b2,a5326f4b),
+S(533fa077,4c05ba3f,b32ac60d,13fcc4b2,a20ccf97,bacf2abb,d2d9b6c7,54678437,a41595f7,3d604126,7b82b50c,22d39ca7,7454bde8,97dff46f,3c57f7d8,ec73e818),
+S(a549dd6f,2c8f422b,dbe464c,48f61d13,b3537a7a,2fc5a8c0,91d7d33d,221ff3c5,ad126f86,b69a56d1,2ae18f0f,253a1989,ce80a74f,114e3813,2199d1ac,be03efa),
+S(7b9161bd,b4d5e56a,c9df5417,fd84aa54,798b9328,46218731,ea289cb2,76a612c3,72e268d1,53fc13cd,743debad,16c98af3,4756244a,65b7f7b,33794aa3,1aaf497c),
+S(21557200,4f644ced,9c2aebb1,43beca5e,d54bf17,d2cb1ea6,492f19a9,25a5be52,19dff558,9c87a8bc,d02af10c,4b32aa25,c80b2542,62ecc0cf,bf4439c5,c2184cc5),
+S(93d2caf3,c1a0a83e,ecd9adb9,abefd119,1000e482,2670e678,8859fffa,a2784cd6,f443827d,c5437809,e5cd0eff,b48d7b7f,ed4b3ad1,a724cb7e,35aea03e,655895a9),
+S(388a2c3,f621470d,eab3d1d8,765d6af5,629b1cd9,10ad662c,43abab6a,9cee5283,653f3611,7e335b31,48df68b5,a8cf6fbe,134cdf35,f659f14b,9036b933,654df3e8),
+S(9d9c6f6d,7032898b,77dc7738,426723ec,dad11684,bde6e061,63ed6802,69aebec0,f20282b4,96183c42,8275eaf5,95834713,338112dd,9f2b0924,8445d56c,15a31276),
+S(6e1d3bf3,98cfb2f9,67464d53,755f56d3,bd4de638,4425975,d96df00b,b500e825,6f8afe06,eaa52db7,291b41c5,959aecab,e7111b74,fb260d40,68f2a8d3,895012be),
+S(dad8454c,5c6fc1e6,35c4ded8,1f2e3870,a5f24fea,be8b6d7b,a2adef19,32bbfb53,7c6aa3e7,615cb467,42b42973,64222157,de26f811,b4046d4e,591f9824,4fddec5e),
+S(5ade9345,11ffa26b,a147ee6,fab27693,9828a8ee,7cbf5e3e,e9052b,a01e0893,ed84e129,7d98895c,b7ceed84,52db80ca,3f44d127,d484364b,652b96bd,82f8ae16),
+S(d6e9e33,6a39b415,e5909463,9d621291,9c81a084,dace8a97,a0372042,14cbe366,4f274e3a,1ed0ecee,c7d1d4bb,28712e03,7632b43,e1f8b75,a9100b4a,f74e90e9),
+S(a913a4b0,a990ae15,60caa68f,e45bf7b1,af500129,a7bc652c,b47e80d3,34bfedfd,1bea9464,6a332e2b,8d94dc5a,32ce31e3,1aef6c83,ea7a261,99da6cf5,7892f63c),
+S(7380fa59,b95fbfe1,8e1c3809,36d10b23,27fcf8f9,21aed806,1c602498,c2c6ca5f,fa24454d,bc8cb2b8,9462febc,2e74fd72,8d300617,a601ff12,a599d2ad,bac2fb7f),
+S(9614b47,50073368,4d26bd95,5b9f4df3,8dc11bfe,4ac65d17,6149e1f0,89f3a69f,12a2b07a,49812efe,1d3559f1,e282f268,813e5572,8c959a9a,129ba886,9f06a66b),
+S(5f2956dc,436e7a52,176d2709,362e511c,cbda57db,ca347ec,63b63147,33f14d5a,f7b399d7,7b3e1d75,b5578e3f,f324ae9a,76c243f0,8dec8cb4,9bf7a78c,120ede0e),
+S(22d7dae2,38885aaa,fd51858,f4bc1042,5d57599,2fcb4eea,eaf6c222,c0ae9e7c,6f3e789c,24247afa,9ae0adf,18bdc160,b1d6d956,7ee8fefb,e9db9ae,f0734909),
+S(9e5660c9,a5f53e77,59586df,b2b56dcb,8f1af69a,aabcd59a,73573711,3fbd4dd,2868aeb0,5efe76a6,8037ca6f,d97c2769,edafed65,3f38555e,15ff41f7,fd1fb8c1),
+S(7abf134a,123ee2a5,eb4bc1fe,6d06f5ad,655991c3,dfa91ebf,ae46ba80,899adf3d,c96dd41a,238cde21,3f628bba,a2488458,c0e35896,f32cf7a0,45b252ff,ab696522),
+S(95da0b80,e45e13cf,f5f4f4a7,5265a310,8424fa09,f07f2c07,efb7a018,b5edc82f,ab645319,b3645cee,d1e4823f,838435e2,79f4f41a,af258432,b210a73e,569bb4e6),
+S(8a095bad,b000f2e3,26b0c8a6,f1363fb3,4e2f59cd,978d736d,d05614ce,dc849fc4,4e367851,5c42cfe4,6bd3b6b1,6a09bd66,59626f10,a0087591,6b7d178f,14eae676),
+S(de5f5b91,eb34ad1a,9d3c60ed,29c683b2,59f4c7ad,819bdaa5,f751c1b4,7ba28567,cb9d478c,58a02246,44f59a4a,cf2fe992,15f541f5,febe0ebe,439a1b8f,baeaba58),
+S(94acffd1,b87c644d,b359cc14,c1d996eb,a1d7e773,d902dd5f,7086502,bef6180c,8e58ff91,ae72b071,abb09a19,4afadb4,b3a54c3f,91857b3b,bad991bf,a605cd78),
+S(fb75db19,87635a41,e325f08e,3203e0bd,e7ecf969,e46244a3,5d63dc5b,a64a3336,14d19c5c,220b044a,72b58666,9c74ee94,2df157ae,67524f01,9707806e,1bf73c59),
+S(9808674,a196cb3,eb0b2558,2a9bac0c,659741ee,ce6b1c49,678e318b,f6456081,f5532b86,3408f545,aa218a22,405b0839,9e59fdcb,e2c54230,9955aade,3660aebe),
+S(f2b603e,d1d8506c,b1280f50,f3487f1e,71d797f0,f8c8a1b0,fd153683,18d843ca,1d6f91df,d7bbe002,ec34bd9e,9b843620,ff43a756,88dc1398,e23b73a4,9d3e53ea),
+S(b9327718,4586a524,389f7e49,adac31f7,45ae323c,d3ccb1d6,a2abc65e,863e684f,b28c0f77,b47bdf1f,390eb8db,b94c606a,84084e09,1202dd3d,654abc10,3589b6a0),
+S(c16eaf54,572c1a6e,142b6617,b38992a7,9cbbb577,348b8768,56ccf471,e21b7b63,bb9e7a6d,6d8ed16d,4f8f5009,76edb112,4d5c7ede,cb2b8abb,73de287b,5099035c),
+S(97c03ecc,6a87d198,13d68f64,a3cd91bc,ddf45350,383b90be,c5565c48,531999e9,f5cf3c4d,71be1dcd,60b39aef,f1cb8ffa,62d3e07f,33d4ea1e,adaa0569,3c239ce8),
+S(6a224e6a,85d31717,10013b13,14ed6c31,adfd153,df8bb9c6,47428e85,12c1786c,690a057e,ef9e425b,651f55ca,8c72169c,bf337e7f,cb779ce7,81e1ca9,5feac5a),
+S(1e89ac78,be4513d9,38e58385,7256eead,54afceda,32edfe63,c70b0f75,83eb9ce6,bbc32d24,d58f47ff,2686d804,4e62e575,a1f1e805,75587b90,1a362461,93f9aea8),
+S(40df4fcb,8648bed0,44050957,8ce57046,bb8daebe,5a7ee63a,e69decdf,a5de87b2,154c0c93,8f5dbeb1,80939a49,aa15239,e3308e56,ae8ac16,3be19bd9,33fd07f7),
+S(a03f1ac5,a3738a09,d4888626,72f00159,59c280fb,274e9974,7447dd30,260bbf8c,9d28b67c,3455e338,1d1f84c8,d60e4fed,c39b5d05,8d17829f,ccba683d,cd65f093),
+S(c7d9dc5,d2712b0f,3da6b4bf,1b6d74ba,de6f9586,a794a1e8,4918ddc,d115d1b0,b1727ad7,6666c0ea,5abfd80a,6aff8e66,b8b63c27,6a8ff457,573d8336,fe65dc0e),
+S(3c1f81b0,2e8794ae,135db6d8,ea6e1cf2,adcfd535,634ddfa3,773555a0,e0efd26a,e21915fb,abd19ab1,a4cf84a2,a5275a50,24d0fb7d,c841fa43,284be38b,788d9390),
+S(69503972,3c4d14a8,1cefd3c9,ad7c4a1b,d5b01ec8,530ade4f,fa7aca65,28ca332e,20bee7c6,5d499abd,f9c9fa2a,585e3f73,cc52141,f4276cfa,aa856c84,6114c1a4),
+S(da655560,50683d9,5f81b2c6,e504128d,5f58fa43,4cfdee92,c0324b84,77c3ed70,297e7d88,2009d30f,bf0b5aac,1c7572c0,78192a1c,475fad61,64b25ea7,871017ba),
+S(f1ec70eb,ce501e37,f79406ca,f120046e,6b064b80,b8db9d22,d41f9b8,a229cee6,8688ba6a,ff61aa53,4dd93b02,e3eed5f9,f1622d2e,6fd3a3fb,594b9bc8,5beb55bb),
+S(fd0c93c5,c2334d97,1e1eafa5,6b62d377,d1104ae9,1c10e707,a404674b,796c51cf,e2529070,a0ac26ae,bfa954ad,801d0e2b,cecd4102,77a7cedf,5a707dbf,6c8ef5f1),
+S(514a3ce4,b9f518c0,ebf15b1d,56687638,7eab4df0,85f93f0c,53831536,ee75c78f,8b998180,c9e78405,cf9cbf2f,7495455,6d5dd04b,bafb010b,db7a4cb3,6bd6cd30),
+S(6d0e5be5,f5bcf0d2,37726045,727ce85f,336bc6c5,743c0254,9dfed03f,234fe265,df071d23,bf3e151,5995d25a,f7c8cb48,d81ec018,af8513a8,e842e3d1,484f99f2),
+S(d37f48de,9143228e,d5d02ba7,f5d97b07,922e75b8,54eeb91e,86643a6f,cfd8416,f7d6e782,af5c8c0d,f9d2c80a,e582b88f,bf9b0824,6e749d0c,9ac72afe,847842c0),
+S(d44815f7,46405f75,f03f4749,b5696cb7,54fe1633,7c721602,cfecd1ad,fdbaa875,a6b75d70,4d5c965b,43284bc4,d4db5d1c,980d4bba,e8f8157d,c1cc322d,44fce058),
+S(6ee0ca27,441c80d,83b710d7,a6e4f5d1,a497287,a16e3f67,7ad24df4,4db8a287,60d12357,350a737b,74f857e2,ad3865c3,5dd54e00,e70d1aea,cd77c12,fedd02ba),
+S(86edff95,6ae4aec4,7a8b4927,4170faab,dc19828,c14f3de2,84362bf4,5bf49d6d,c9f571d8,1fd0b910,7043a52f,79fde3fe,339b17f,ac0e6461,8c601c17,375955b9),
+S(c8ea3038,f056e115,aede11d4,ce113663,da276b83,12510e72,1cd8600c,a4a573ba,a662f00d,952d21ae,e26f97b1,6b32dfa,c0b58c06,6cffcd79,3755cb3a,85fbf3e),
+S(541b43c0,16ce2179,9c7db4f0,e06b6c7b,bf006f1e,2adedc1,e8f4e8e3,1572b199,27742f79,a0986843,1560799,c11e0f43,be6e8631,7abf4d25,36e09e25,38b90ade),
+S(1630dee,a2d1311a,a7c0cfaa,2693595d,48c274bd,d24cbc7e,4c15e458,f7547d40,f1a92fde,a7d828e7,bf7b1c8f,512a21b9,7227eef2,daae040,f8cdfab1,a728f20b),
+S(126f6117,456d919c,49325ee4,1cb1ace2,fdd5bde,31208bfb,58b5fc1,62ec799,4c23a017,73d47eaa,579e5cb5,14bb8584,7955f03d,d097d527,ff366b81,1e6abc81),
+S(b6210ef7,1bd1957e,51805a9e,70c6663c,6d8aa371,e1012a46,8261653d,a3470c98,c491d5,e98bff1c,7ce97493,612dd726,bdf69d7c,a4524721,79ec57f0,fd123b87),
+S(34291314,3842cc68,b0184bb7,13f7c6ae,aba928d1,5df911c3,3bddc99f,ec8a5786,4b63c3c0,ab6efb2e,bc343cdd,dd43d553,582a53a9,3c3663bd,138eb1ef,d2a245cf),
+S(5aa2e234,938e26fc,12589307,afe2d797,bad41d73,3eb6dc66,da9a56cf,d4b6c4d4,db91df9f,1856f8a7,83696842,1887235,5111b973,10fb5975,154cdfb4,2f2f2e64),
+S(8c50cd04,5904ac5,d9c6d555,e7bf188d,d2318edf,cd90ab90,722d8552,edbebb92,f60add37,b3578fe,f798d8a3,99834ef9,16e9ca8e,2ca8b9e0,1537e7dc,533154e6),
+S(591e3233,9e5ad324,be635ef3,50884aa0,bf3efa8f,7ee012d7,8476ca35,ef586ee6,6e219d2,ff115d36,b3688e09,b4788bd,19b5e471,6f09eb41,cb598ad1,b60c069b),
+S(7d4464b7,587b74e8,82c85444,4d7637b7,9b6c586e,b4a032a2,6e07b60c,470d82f8,3f1f3d44,6ada0a0c,4e082bf2,c31ac7a9,d2deee7c,4d9492ac,81d47a3,db7794f5),
+S(92e55e29,e333f65d,1fe8845d,42d585cb,55db9cf3,223dc567,29906df5,bdc93387,5ff7c2aa,25b670bf,5ab2b57f,831c3e6d,b9801ba2,10aa76a1,2eaa45e8,29a64454),
+S(a0fbf93c,c47198c,9492defe,fedb5ff9,dcf178ef,70a0f416,5128d18e,49083c28,dac0dc87,4bf9f134,fcae7932,46a6306b,5c876455,fb493b04,9a74f94c,82cf0a56),
+S(5484f0ed,aabe9633,f0384de8,5f86e77d,8153acba,b8922863,6fabe9de,3dd12fef,180e070e,a3712386,cc4ca4de,f54c0399,fbb017cd,3ac0704e,52d60f50,8c0f2c2e),
+S(f2452493,34b7983f,afe9d99c,55023ae8,c8591405,4cfc930b,3c76bda5,6c106445,6e800534,948b6349,f85c5164,ef5bd33f,f8d209eb,fc25944c,110f04bf,fa47c604),
+S(d15f5c6e,20f96f4e,d1aaa912,b47198a4,fdcb1101,c258cdd3,52cf0246,2679f845,7751370,ef04b59b,bd74d4e6,286d690e,9158f004,826b2dd9,37070544,b06df5e0),
+S(75ba968,f35dbf2a,bd92c08a,24930949,7a50bf27,efc51572,232e152a,a5988818,64be1522,78e3c24a,890c584e,8f2561c7,62985b74,e803d124,11910af2,487f9491),
+S(c7742126,88b392df,ccb6721a,dee4f49e,ab1fa24d,84695994,f7d0a7a3,3cd52f21,e603fb71,9464ca60,a8ff9047,6093b2ff,e9091815,58ab8d7e,aaa7bf14,396610c6),
+S(d15a536f,661f00d6,ce0892c5,6f7ec1ad,614becd5,9b5d3019,a24923ad,7bc828cc,b2d1c3d5,a9a84da5,cdd277b0,512835f,48b546cc,3fd36b16,f83b8cab,caad96ea),
+S(64a9f14e,bbb02687,cf9ceed5,636cc349,a8e55cca,4913a221,641a0916,6afcb872,76b2ccb8,2dcb7837,97d31ddd,bbf9abfb,5173b495,6a6abd10,f9a583fb,981bafe1),
+S(9eb0c54a,9490fc39,75170e03,1d3be45d,1eb54587,41db3f40,19e83ac6,be7915e9,fd570313,71616577,36c736c3,b282b0c3,f1f9146f,1aa9f,8fa1b34b,f10e87b),
+S(141e12c,501af124,a22cf65d,b3996c76,44bfccdc,2920342a,4f3becfe,d279005b,1b6e9acc,c61ad52f,d8f00405,f2191432,b379492d,838865cc,58eb4bd2,c1f1735b),
+S(63f9a52e,aebc297b,5665752,9cd93a78,a0ff93e1,f94629c4,bb9b19ec,68ee1895,8e403a45,497dd525,b2924861,978da88f,4823236b,338ace3e,76330b21,a9ad14c4),
+S(af31b58c,47a9c9e7,3bbb583b,2178deb5,bd430031,9ddec2fa,5e66eee1,f0ed8b1e,d1fbdf75,8ac15977,cb8c9e1d,7863c465,cc4dd8e3,e299f116,74b0035d,291e1472),
+S(985570e3,85b4ce30,847c2a7a,cf5a3c80,ddacb47d,dc1ce66a,d001cd13,36293ff3,5b13a12,75c5b519,10398a58,f42158c6,1c064600,809d7a8d,b31e14c0,84578854),
+S(37ac2f59,ef79be35,41e46114,c4f9ad15,e6c8122,db85b62,59604adc,c8cd303b,434d325d,e4ba5b11,7b876da7,8c387d13,3d0fba87,d784cfc2,1ef689e0,4c1d52da),
+S(2b002a0c,280419dd,7911a522,28ea70a9,7ec2f9b6,db5316b6,7581a6b9,7354ba70,dade84b,34a23024,785c211b,73b006d,7ad1e3f9,e344c783,89d83eca,332e4734),
+S(65c4d14d,f9a0853b,61429a40,50d2aa66,19f63bc7,12517118,784c0100,9d7ee08d,4cc1bc89,aac9c9b,931e9546,cac82cd9,6051b17c,991cbafa,efd52f44,e514241d),
+S(df27b45e,7a49695c,8c38d85e,5eb7e9d2,8cbffd71,8520f681,1144087e,8a372c32,cd3d4c1,5ab586fa,ba4af68d,9bf04e13,31f7e5a3,95d14c67,e4ce598a,4077fc6),
+S(268c1fc,eeb3d3dc,55daac92,23b9f511,418917b0,3d8a8210,8096ac34,35a820d4,d623750,3c42a02c,5a386e1a,f39694e9,844272b1,766ee986,6d4b67f1,81086fd1),
+S(cbf09fd,f85c8ff9,3b1e800d,8e5901c,35728aaf,3d2824a2,bd09e1ae,c76fe1ba,3876982e,cacf4bc0,aa53fc48,6a98cc01,8ad33f67,e4ab0abf,dc8677cb,e9619556),
+S(4126180c,88d7066c,8f7877c6,5e41b4e,c15f94da,e68d57ea,a2131b1b,6b9bd2bc,1bfa8de1,71947fed,a0c8ce3a,2cec0e5e,e307f7e1,dd3b7ca7,4f0e0682,c1c3d087),
+S(bea8d718,159940f,dbcbe23a,5911dda3,c75b7931,cede87a1,5cb39de3,3f35c022,e723c23e,6bce4f27,fbc219d5,7d7ea196,e3ce1273,58e7eace,9d6b686f,efc35509),
+S(2275f050,a18ed0b7,af54c69a,aabdc987,9eb9dd35,7211a964,23ad6e86,48624e3a,3c025a31,1a0ad11d,c9d930d0,7bd101fa,189415f7,c705abeb,bc585948,14f4d88a),
+S(1925ef48,16c17466,f7e16c4a,7c6352cd,a12a2a15,9880a482,a06f8911,21b32fe5,30f83429,fb20aa48,ca4470bd,f90f9d6f,1660e583,5868e67,94ec16ff,e06fb81e),
+S(18720528,a0612661,3ea23c29,356c4a2e,db74229a,79f008a3,1d6e1357,f873cbe2,ec54426d,a41525fd,d74e018d,dca72be9,e7a28000,2abe1a12,4a73ed4,21893106),
+S(b8a6972f,c526acb3,4136cbb2,4850ad15,cd70a4d0,ed66a9c,8605b257,885c9d8f,e043953a,698e3225,a35271ad,2a173fdd,a1d37ef8,98c630,d02b80a0,cd729fd),
+S(3839720f,b5c7c3d6,3a0ccf99,c0f951ee,b257d818,b3ef1e52,b530aa23,8ab06887,9d58a455,9e5268e,48292e9c,c6d78275,c733c2b5,b31326bc,4a0546d9,7d950529),
+S(c204f868,e6632183,88024c76,4ef92286,68ba2867,bd301c88,1bf8e7b3,e6677e0a,490e59a9,4dd95482,8b386c0e,d6778f93,5a692d4c,74f6ed47,61aeb26c,4b1eb048),
+S(dab95115,4aa1451e,95cc374d,6a6d6801,9778f54,9672c4ac,f9d16b39,ac2464ef,e32e5c8d,453be5b0,8c5ca506,b7875565,7f269a75,daa83a4e,f11e1266,f442d85),
+S(ff283b71,7118eaba,52225bc0,ec0328c9,72e5c13,3ffab3b,801dded4,cae7e596,36d8b7e3,4dd684d7,e9b0bdf0,3d60304d,7d990a85,a955cf3,db681d03,b0af5d43),
+S(30eb08e9,6f4de692,d2eddb8e,aac47b48,1f3406e2,235560e5,b23d0b9,f2ec4597,cf05cf0,26ed3094,37aed28c,2dbb6f9e,94f83333,15f00832,1286dead,1c931be4),
+S(9a51edbb,e9146fca,d3c9580e,9ee34252,6b2d59b,c0531051,76bf3ec0,b86dae9a,94d549c6,2cc12e09,63c844cc,5dce24db,834fdc93,4c8b06e9,afc10f34,f08705c8),
+S(ac1836ac,2f0d0158,650238f0,7b2ed1b,111bc56b,b176558f,7e018111,ee520c09,562e108a,a842608d,7c86eeca,f6f2ebd4,ad4d14cd,48c3d068,eb658c28,ee1aca36),
+S(5c33360a,1bc8e85c,b0f78d66,8f6ba33e,4537e0f9,88525a1c,b186fdf,7ec65596,8f86a399,ba2038a,9faa311c,f2646ad,66de6c86,c3280d93,71d1bdd7,d9df698b),
+S(40798759,c22a7b60,464fecd7,d506bec3,3614c895,c6d60d14,d1ef646b,38559793,506dcebb,aaa057a,433b0eb8,96d35070,a871e11d,216d6a42,19689167,b8588b9e),
+S(36466772,ddf9865a,c6940a62,abbbeb24,3092f44c,58e3c052,9cc0d3ac,738d99cf,60ad37de,b41ee4dd,8cfc755d,e309157e,608b0a5b,ef385836,8c7c7dd1,cbed7075),
+S(e6169ba7,ccc02fd,cfe63742,910a5e9d,3a3e1661,d8da60d8,32b86e9d,487108de,f29ff08b,afa4568a,4ba97709,477b086f,31685c1b,a6de5c1d,eba8269b,32c2cf41),
+S(3bd8fc06,2fe50198,b77aeb1d,d42b9536,7fc172a4,f2528ffd,597799a6,4c0661b,c73a3d92,bf87cceb,f0020063,115aaaed,ecf414eb,f03179c1,86ef37bf,b452795a),
+S(aac77264,829bfc44,6c2427ee,8b732a82,3480f11c,32cfce72,35b0b5b4,6749260f,c788928d,b75ea7ba,e216d8ae,91559d05,8597b9e6,3bc2fa6d,276c29f,50bcbe7a),
+S(1dc5e0f4,ed05486,c883b07e,e78f1b96,49858bcb,6dd396fd,17a19dc9,a788a1c,ee4fc404,d662abb8,bf7122b6,c3a226fa,ef491513,49231623,a9d1a796,cc6233ff),
+S(82a1f055,d885501f,114fc40b,123fbfd9,f45499fc,fb8720a3,c730fe75,ef1a8601,39fdb201,d30ae709,486fbc27,1603bb93,826ca4c1,395bd9a,112ea4e6,476ec20),
+S(f8721b28,ea842788,863a1ff0,339ee75,7c508ec9,49e4f4f2,71d2a460,f0c14ed7,761ba386,5850303c,4449a3a3,44ebc7ec,bbf365a9,4688f254,558289fa,5b0715c),
+S(9a8d123c,71377193,79d44740,af95d63f,ee954c28,55eb7aff,56707a1b,f0ac683c,3479784a,e683a3dc,c1238f37,5b6ef82a,487f6e5f,df487ba0,10477e45,49652d9b)},
+{S(49e7429b,e0d97bf9,3f17e9a8,53fedb6a,a9bc6edd,8e85f44b,9d2f1469,b2d3b178,ff9e5dfc,2746679e,9826039d,578bac31,c08fbaac,a075214c,73c50f,74568fff),
+S(e872efd9,8147527d,7cf1ee62,e4980ce8,f1a7f561,a34ab662,1d503a7a,e98c6433,c8c62103,fe01e381,2553e68,5e7d221a,974cd4e9,f3247078,de37f5b0,1b9ccde6),
+S(617f6235,8bb46c55,7608c7e9,ee198fcc,77b61c64,5e953cb7,419375ce,1e06fb58,fcd7edad,db70f22c,364cca9,9a792f53,c71474a8,707e2cbd,551d2626,6b373158),
+S(86810c6f,f27fc69c,31d69ee8,4b616345,fc1526d7,9dde9dd3,5e1fe6af,d8fa0f55,718e736f,6c57643c,a8c0aeb8,b8bc6466,108e0149,db197a44,14f067a6,10ca5f84),
+S(89aa4974,44ded8e2,4553001f,4a6247e8,bade925c,a35fda1f,38a86f84,b5b6c581,dba8df4b,9c9f02fe,e5a996fd,f77c870d,4e447410,de27d7fd,942e554d,fb1edecb),
+S(9d89ff53,d85f9e10,6c78c86e,b114c12f,6852a457,d91aa28a,75f2afbb,e9191fde,7b1b4d70,5beb53a6,84a6f596,e6b22751,28b49be5,2ad37ca5,bed6a952,68880ce6),
+S(b21de2d5,767f595e,5b873e39,9c02beda,571cf7ea,48236aba,fdd69729,14e4eb86,1cafd24b,2414958,9812ceb5,1d02d5a7,14f35c04,8a333f21,922e6baf,52942c7f),
+S(d64c65fb,627b3d76,135ca1c3,ac8794e7,a62609b4,a71609ad,73972df6,4f75ca5a,6301fdba,278e846d,246e4a54,10108682,7e815fad,d30a58a1,3247779e,a397bbdf),
+S(85248d03,5f4598a8,618eed84,92ef45ce,29ce24f7,4476cb9f,95168197,6fdf83fc,ddde2121,e31b1986,6ccf28cb,b1f01925,7ba53c8e,88eb3f3b,a8faef83,274de6f),
+S(2ccb22df,abaaa33b,6da3d166,b2f85408,231edf40,fc9f7f89,24256378,7f10984f,35fd70be,fe7d802f,c65e02de,e5aa7ac3,67ca0b20,a5e3404d,a5e59eec,8c9cef5a),
+S(3f5c061,fdd98ecf,ac9fdae0,3b527223,319a871c,c385a134,d1b7e35c,9bf5d42c,a1ddd10d,1789d24b,9fb96387,8789a472,96c757ca,99233b97,899bcfe8,e7760cca),
+S(2e1525d,f6ae8b7a,84932980,1d4fa138,5fc07382,1a197e00,f9a8c235,68a75647,af7a996d,71ece94d,4384bcd8,60e947a1,cde4ac6f,408c31f8,cd67f0f4,a0807f6b),
+S(247becc0,556b2585,9e426838,bd34dc9c,e194ac7f,b4ace971,9ae317a6,d87f5316,bc63b0b2,8051432b,4a6917b1,7afd8b46,d8fe2599,99c8f254,1e5ec22f,cadc8c9e),
+S(3b39557b,8f9bdf90,76acd422,c46d1681,f7b3d29a,40108214,2035e3a2,8c204aa7,773f2a70,7e6288a7,9c3efb89,19eb100a,772fa946,c59f0bf8,6796b76c,1d7194c6),
+S(d1bb4751,49254987,5e4bba5e,a0d2cfeb,703e149c,5ef6ef14,3f4df5d8,93199e7b,75d04702,60bbb309,73bcda42,808c4cf8,1f33dd89,e5412e7a,bbc6e722,7f0e4acb),
+S(2324c1d6,96933334,b3023542,c506687d,8e7b6854,cf0b1ca4,902c8874,39a3a4ab,269c5c10,3731f1c2,419a5b53,566cfee5,a878c33b,c2aec368,b1b60a3c,bfce7776),
+S(5896a34b,37869f15,7d19b9e0,cfc927b,7fe0ff91,a173f480,b371d18a,1d72c0ca,ea9331b9,b281b800,38edea52,1ff8a3e7,ab0b7e2,e431e9e,51cff269,cdab8c52),
+S(2553f696,b32af6e2,1cc2089a,63439911,4d7b9d96,a883651a,c66f1d8d,1b74dccc,44c3915a,6212f827,3f02a0c2,b2de1e74,295b31ec,d2457da8,faddf543,c9244ffc),
+S(131b4dac,25fea2f,715da576,3c175d97,657bfd68,21224136,5da967e9,c91b8ccf,30b40489,73a61cc1,91ec22fe,3429589f,13aad7cb,cbd533b7,2e692f75,f728b668),
+S(59d0164f,e8150846,874f1658,3af49019,e300a2c,4807d18a,389f9b12,60585910,eb91680,a580a52,510ae709,1702abd5,6264181e,477c99de,6cfac0e,5533ea88),
+S(691e86be,3a30e851,4286fa5,517d1fbf,c9a969ae,d7837e4d,78f6ca3c,e088f2f6,b8108fd7,e5bdaa7b,9d34f1ec,b5251705,76ef53bc,243b864,d20261a2,b9a6ff5f),
+S(c68d096c,23f562a2,2ce91404,6b82a43b,22b1e7b2,63e58107,96128ab,a680ca71,c5eae54f,b59583be,509466d8,95ad482e,ef73b8da,808be571,d79402aa,26723774),
+S(eeaacf5b,e4ec2817,1acdec98,7b5cb678,91666932,42b4c546,8debe163,430c20da,13e8c773,d867856b,af5b27bb,ad7adf86,a3e4826e,12fb2b9d,504e63c2,2b2460c8),
+S(5e3d98ad,35e8c90f,131ea3af,2c99c45e,7ebe6eca,38d02120,c0876a8a,b4b8dbe8,a019fd63,9bb8f5dc,b4776131,398be36c,b3419a3b,27596462,1ecaad5,8a3ccac7),
+S(1a43b7db,a042bd97,ea23ebfc,1384587f,4f66587b,1fb0f3d7,c32af9db,449ded4a,89667998,5946f126,34f00e5b,b7f0402d,ccbc8ced,a8389e83,872ad821,3bdc2f32),
+S(2222292a,ed3f69bf,1ed2cd12,3272a7b2,b57b2b29,c9f756f6,9fdcabf1,1b67dd57,6f6671e7,d22b9cd5,d70a6490,46101054,f48a39a4,797964d,c4c2df99,a982b3a7),
+S(5d5bc560,8ce7cb81,ed23304e,fce25034,8dfd497f,80dd3d9e,193641ef,9358a16a,b63c4202,be581677,ec334ddf,5855e39f,9f8f9544,f9f1171a,7823f0ce,61e2051c),
+S(1a669fa7,2d96cf78,886bd7d1,36e7dfb9,8311b4f6,9067f47d,12830ecb,612ab969,e45ba9ee,f80c5a3b,179726e3,4b770860,552b0a6d,6ce02e70,529bb5d8,b2eafd9e),
+S(acf341a7,add1eb1f,b5dffb5f,cafad928,b40ff6a1,fc0bdc67,9380690a,7daaafa6,69a7231e,ad015747,60b6fb6c,4a7eee54,ba348bb0,1d201d86,614b9397,89c00cdf),
+S(f4238dfd,447cb48b,fb9f6678,11168126,446caf0f,3345ed,a31ba759,3115318e,5cfb371f,296c3a50,6d8569f3,60902baa,35e710d3,619c14f2,3564f6bf,99bf7149),
+S(cc328f03,fc2b3590,3b8cdd05,514dc673,1446fd17,3349f0d7,a7a99da3,d2271847,883c8b2a,dca40796,68b0e472,c37ac41a,c91dc5b3,1aa84cd7,7f319828,3b72e2b1),
+S(8e9bba4e,5fc87283,fb3a1b71,3b493127,e0c3e5e9,e3f2da4c,51ea3d98,5f3bd579,325df34f,dd64edd4,880a8ca4,5bde671b,af67a76e,f1a5a27b,abfb42e,c2b7d29a),
+S(790ccd03,fad172c5,10af246a,a6e4a87c,56db01a4,55b4bf11,8670e5f6,54b0f816,de872f4,63083283,536d6943,ce8c67b6,6476cd8b,ce802fa5,e0817c5f,7ab684ff),
+S(feca35f3,f030cc1,e0cf0a86,3a11d035,95b2ccf,7569dede,1393cdaa,a972d1dc,3fa066d0,565406d4,52aefc9d,ed45133b,48933d79,e0a25533,e9a24d98,f608818e),
+S(c6b38388,cb66141d,777b3d50,c5224c63,94e587b7,9b62fee1,6fa12c9f,d7771d66,3b9647e9,2ab35770,e0116e36,27a31526,ae48a595,5d46b7e9,b27e5747,c066fd80),
+S(db412fb6,3f925c6b,62ed566a,de8b4768,f3c0be38,dcd165eb,eac7a081,fdcc43d7,fc305dce,74f64672,2eb963b,792f312,4b5da5c0,ec8c47fc,254648e9,e562d2c9),
+S(777f3e29,83e8511d,90ec346b,1cf6ecef,4539889a,c124da88,337dfc6e,222eb810,e0abd8b1,fb97b582,27beb723,3308a89a,9dd5cfa7,303d06e9,2c2fd427,ecf3741a),
+S(a8391b7a,3c3e788e,724e373d,821074ea,b1768e16,f3cf7b63,80a0f9b1,7a1b8fde,f9feb354,ca45cf5,fa10eeea,1b4f4936,2e4ab403,622cb470,26f529c4,69f61d59),
+S(1b86c4d4,40532e3,968ddcd6,2012e455,34ba0045,82409c74,add1797a,fca29640,2217842d,fcf1d171,b18a57c7,1ed6d329,4491a422,45e93958,570fbf81,9e6bcb41),
+S(65e2a22b,779056bb,6f7ee1cc,efd63066,e5cb594,a9496d6a,772c4e18,f2cc7d48,8adb10e4,e984b024,b420ae65,d2dbc7db,2c12b4b5,65b7b81a,434d16cf,52926238),
+S(c5090c8e,ee079598,57b8bd0c,fae29cdc,e00fef57,49204908,cee6a5ab,1d4fd970,fd7d0324,fe41fd86,3b103e61,a391ee36,167af582,e07c2cd4,649d31b,86e6c976),
+S(be9e98cc,c6a230a,3e63ae7b,f619d6e6,b27253a3,5f26648c,8c3f68b4,e193b24c,d32895af,d8886f1b,9aabedc6,9a79fb9d,ca71471a,97728ca,1a55e701,e7d5bcd9),
+S(2ff0dd75,8de2de40,1ba00665,c251f6f9,e342265c,4a400684,ceef256e,7d6305a0,adb558ad,61769a42,3dfb2d3c,c44da3d0,15a2aba9,ebb4e29e,70fa7ae,6307f4d8),
+S(5dd98c43,caea001f,75846c88,1a39fc77,cdae9882,62cac6db,f6160aba,f00c8d51,2cd50bad,48c1a136,9a37762f,e56fec65,8a8a3e36,90813d50,6dd94fb7,de90858b),
+S(18280710,c4d14765,b473cbf1,567dbee7,d53a127e,2aee22d3,198dc5de,43c3745f,1c8e417d,83b0540f,fe800ec7,1937f855,a1066dd8,4f7f6a06,9722ef2,e2ab4bbc),
+S(7f3fc319,62da2c5f,9e90a8f,308f69b8,d17497ef,7216a5c7,228ce9a4,1b35bbae,ff754dc7,ca0d3148,96b18f27,c516fbb9,d4d21cf8,48a61f0e,4bf3cd60,f3b1e7d),
+S(96809ebf,3d08f713,87271a1,762c9d9c,17355ce1,be770361,e69506ff,f9bcc41d,412737a9,3b3d1835,cb487c78,909ccc46,624f8335,46eb168e,bd8c4408,44bdb4ab),
+S(9308499,72dcf389,d1200b32,6a60b0be,72609de2,2a66989d,17c97f3c,e61f2769,fd307c40,3c29d78,14f7627,b7575ae6,40bb77f4,89272d91,4111e1a,2c81abc1),
+S(a66a4d1d,1e2bf54d,b359db03,a339c40,4e0cf102,88dfa02c,da95c158,74057754,16d1cf4e,79d00675,cf6dea6,7d8b6c2e,baf59eac,cba2bfb8,e30ac368,ef875d5c),
+S(4571f513,f3b73e0f,a7ca0801,30d6fc0d,ae8fe66a,3caee9ca,807177e4,40256f28,8849186b,79fa99cf,49674ed9,9010bcda,7e2458bd,bf259bf0,30a3b655,61b88842),
+S(28609798,fa0a5b48,f19bc873,aa62da70,85c8b9c,271b348f,ada1ac16,a0013bcf,9716c9a,493d484d,f6c588c1,aca279be,327e59f5,92a04f5a,840bb7aa,34b407d9),
+S(77b7e18,e37c4a78,721b28f5,1e6cab87,9c4149d2,92fe9675,fcc22df4,8dfd6465,179a09b5,2733b042,f702d649,4b2742a7,ef82d050,efe0992,4584d6e5,328b14cd),
+S(3c25bbdd,cfa0ab2c,cce10476,79adcd9d,bb63595e,8a7bb841,cea608b6,82c71f5c,7a01946c,b0e650e4,53dce44b,eba509cb,fdafb57e,f130e4d3,facf9ebd,6d7886e),
+S(c22b973b,99f9b4bc,90fc9e0d,b2d73c7a,7f1051a8,d19c474a,3bf9aa43,3b0fe52f,e0253dde,dea6cd0,1507b251,176562cb,7f73c22b,b7d10015,61fbd723,4d5eac80),
+S(18c7f4a8,3f7dec0a,76dae14,3a49ecc2,4d5fd4e6,5880ac51,627c86aa,60a8ce71,978901f2,3d35e23c,36dd34d9,cae08290,641163a2,c55c3028,11fc4120,4a35653d),
+S(61147763,8a8c8924,2fc31730,2e0b1475,514025f8,dff26b1a,eb4b7f28,51cfa5c,23152003,f2d12370,84ba60fc,bd653aba,37c6b20c,18c85c62,b6ee196e,2c684d5),
+S(1f025444,17e67747,ab9f81b8,7a960663,ef3effb0,259d1795,f25c0a4,96847292,8d7ed884,5cd4cb73,27d31f87,ed6f881,a0de6f51,768a5ddc,b404139e,d064fb4a),
+S(90493828,a1633ce5,8f962a78,2256d6e2,949f39da,9a865dca,d84b3e46,408d7b3,4c6bd158,92330e5d,1d97cf27,fc8e8fdd,99f39bbd,7ede306b,336530fb,2d46e51),
+S(ce69b160,287b6724,8a11db83,418a302a,daab31a3,9c45b5a4,a02643fa,21918461,617286d3,c223891d,c86a2bc9,5727aee7,3016650d,cacd6692,c4e24a7,69b86701),
+S(f20ad3bb,1b962fac,3d9b2c08,df726791,706b3006,60f894ae,379a6c02,77e3e8c5,fc83a778,44e35741,81dbaf95,de91240e,879ccd42,5c28a389,a01943d6,a954a5fe),
+S(fb535599,ca57b6b3,94205071,f1c07afb,ace578b2,5d571bc3,1f669a8c,2345d7fd,b25fea48,f9f36d15,feb50f75,2bfa03a7,bfbbbd7a,8de04ba9,eb58d6f9,e4a77c1a),
+S(c3793655,c789792d,e43a07f9,61d774d0,34253bdb,31c3428a,8e941731,6cfe5565,748af2bc,9459b7a9,cefee955,81d3716f,2c08d5ef,f988ef1e,85a14290,3fdd72dc),
+S(34304c83,9c33334d,216d1b4c,4808d14a,f5952d45,9b8cc1dd,5e64c6d3,30807110,82a01c14,95639827,8c9a0189,5b0d1e62,572b1ce3,565ea53e,9afa8d27,36b17c75),
+S(8100ba8d,43d8cf1a,53f973fc,544804c4,4c2e96b5,9a877496,7a7c4f57,862a0fd7,675c2c52,5de39794,2c42babe,8a3b8e65,1c1aba24,f2da644e,a359a0a0,892e983f),
+S(b3f979e4,487081d1,44161dbe,37ef2da4,de16b9d2,aee1ca13,9f018e36,d4ee64c9,bcdfdbb3,e6cec91f,3dd41871,9fae4213,be273923,a8daf8bf,919c0145,11a93969),
+S(df0ddb93,e54b94e9,cc7460ee,f14f3512,86bc8f0d,7b928a6,294f8ba4,2577910c,b640541e,b5958814,e348d634,faf04a02,3a38235b,2250eefe,3145bb40,64abecb6),
+S(54a2cfcc,eefbd58d,3924f305,2bfdcce7,508e7d82,e82cf354,9a4f0141,52cb717b,17d80293,d00c0d82,47013168,24e6138d,1cc77672,7a05ddcb,909642b4,afb88578),
+S(fd384aff,fa1398bc,1881dfa0,d8b72dfc,3f6a4429,52d301d1,53d8bf3,705b828b,78dcfb76,f958da03,dfd7f6be,21f36e7c,59c7effd,c4e9a305,b934e9da,2b30f684),
+S(bc7325b3,181554db,1e19f120,b6bfbe0c,8e4c003a,461ac2b0,83269e23,12d3395c,c101647c,9e2ccdc7,7ad89913,699b3b42,5850e30d,e52995ba,7985f73b,db6700eb),
+S(e9ed80e3,9ed744b2,1a9aaaca,1ef4959f,64ab312c,d7cce151,cc6e383e,dad0185,ab101dc0,af3ef33f,9f0d6bd7,4ab4e938,25e999e3,4730a9ea,4ee67b2f,4f0cc790),
+S(8f63fb71,67716f8a,749439f8,25f2ef87,3c4e3d09,6bbe06ae,2aa8bee3,faad24ce,76d6652e,b0845f33,42b48ac0,8b2d70a3,9c601e79,fad31dd5,6701d729,1331a5ae),
+S(8ed0dda7,5d3a1e9c,8a497ccc,aa3579fd,ca5f8628,239a01ab,30abebad,fc6b3476,6f4a70a4,54d8c0f1,4bad62b5,b9aca8ab,846c4bea,565870cd,28f2437f,907269c2),
+S(7c2d0104,3735fa17,5deac20a,5997c20f,748baa84,75f7492e,d4889de1,f6666f2,236d1659,54504475,7677240,efee6bbc,559b64b5,96358ea7,5dd1598,f3e7fa6d),
+S(d37272e9,a4bc1bac,edfb2131,2f66fa5e,dafc83fc,39ce55b5,66d7b395,9aa937da,111fb684,50913dee,2c6a1a0a,7d7092ae,8db98713,90a87a41,4ea52793,839d7492),
+S(db8375b3,c8c574ca,a8d66487,13467abd,793f75ab,47daf5d8,67f9018f,901684f7,7b23db42,56ae1546,31e11cb1,37c091d2,3ea5ead4,32f2038b,27e46571,75526e3c),
+S(d077223f,149956aa,1dfea1f,35f1b237,f59809a,8bb0e78a,f9bd9520,34867886,71fce205,bd0b6728,766da89b,55168777,b2dbd672,ed8b391e,97e74d25,2ad028a4),
+S(1deed30f,7b7c1a02,eba5d86e,eb1e055,9c776d85,e264e842,8489264e,4f68c907,a2050287,d41e8218,9044b3b1,bd1e4c6c,3baabd0d,370d6f2a,d39676a3,ef4c672a),
+S(ab0be6cf,57a6da4b,f6ba7963,aeabd62,d2aebba9,acbfffd7,a18e2579,c137752f,7d6c1113,7535c914,dc58a5bf,a53a82ee,8493ac83,cb1839fb,badc6fd0,4575b70d),
+S(3c72f165,69ef77ef,a32347fd,d14e7ee4,82206c3,1fd9bb9f,367fb84b,9abb5d06,3f45f3b5,d08ab10e,1785f62b,20f2efcf,2a6b104b,cea583de,89c791c8,e2f732cd),
+S(b0697da5,6030bd3a,ec311758,fbc0f56d,90544123,261eb75c,644b37c3,2f888601,50652a49,a3b7a325,67211693,197f136b,f38102a6,954dc6e3,c8325303,2378d6be),
+S(906ec5ce,4273798a,9350a79e,8d64970b,3209033f,9f7c56bc,75e2b3b6,6003d338,a9a0a4cd,7c512984,ee4d1da0,13476077,80c664c9,8e0a416d,856dc7de,5923c702),
+S(64b6c18b,d207619b,35f76f3c,f36b14,7f3dd79f,c0147536,25d7566a,c0350a7f,4226dcfe,f3af6ef3,40b883c,7d4bd1cc,f9ead936,d1d42a1f,59e9754c,23ce3b92),
+S(b1d0d916,e6908910,1e5262e9,9ab94a46,e0a1db5,45b9c572,3dd79212,4afb34fe,be9d6c09,3c1adafb,5e8cfc25,5328a31,aa7daf65,74afd3c3,f5256ae5,33f67570),
+S(55fa9d6a,d8005a2c,8889df76,6b3bacc4,dee487ca,e65a036a,9b1839b8,2a0c3c3,cfb17a06,2a9edcc7,88f5ddd8,a0f12211,c21877d,80c9f30d,cde71a8,af3c10c1),
+S(c231d95b,6144337e,b25cb40c,65d6601,cb4426d4,b6d7c6f9,9bfaad11,611a1854,b0b1b6e2,4bc88bb7,a277a3f3,bfa74b9,9b1eb5fa,a16f4a7,e40f9ae7,629ebb65),
+S(b6053327,960dbcdf,f13842eb,c50cf09b,d60cb656,3e1553a1,7f7985ef,7486afd5,7f195737,9ed11b9d,7ea08068,c6dbf3b4,36eac86d,2efb81b2,99f89854,65766266),
+S(8ea8e96f,619bac9,c6805dd6,e8115858,50b80cf,1cd7fb59,e9090316,c9190de3,92a305a6,8a1300fb,64eff4c9,fa781270,2a85a71e,bbbc7910,a90eeb87,8b50036c),
+S(cd8fe341,ce670725,22bb9043,f3e31f31,3bab3052,d1316da9,7e96bebe,710bdd8f,3a3e6072,295bebd1,7da2462c,8ad8cb3a,2c170c35,9d2b96ed,d805f0c7,fcbb4ae4),
+S(3fae13ae,cc9b0b32,37d94c65,f769c57a,6265f37c,7057295c,dfbf9086,b27cb599,5baae4b3,eea7ac21,4372748f,d8b6b9f6,24755dcd,b92cb3aa,63a5ba6,16b88a97),
+S(7b9399a9,49077156,b32b9cbb,7bfd9416,c6468838,c87971a0,d9e221ca,c8e4cb25,504b1b97,c7f32154,f2e5664b,8c180f96,a51783e,c041fd2d,1e8fe493,26ccadbd),
+S(8ab4d5e7,e112d259,30e2b4e,7ff4cf77,b2957e10,fa9fae5e,a2f80940,8200e511,6d0328a8,69bb9ac0,71b6a4d2,939fd4ad,34066606,1c3ffeba,1500f831,8aceda6d),
+S(87acd768,24a369d1,210fc798,69368ad7,fb01dafd,f5ead811,f5d03169,ba270d4d,8b9b706f,15ebb721,9654eb04,f846d1f4,49a6979d,53dd03a8,214fc285,c86baaff),
+S(f8179003,b5a2ba0c,ae5e7c33,90f99da8,a1ee813c,c5ca0d10,c8b849c1,42ed6ca8,20710e6c,7ff5e563,36855a43,a372fd00,e7bc7f97,d7d0ecd0,f7a63641,a96b2c8d),
+S(2a2b3fe7,d2c78d9c,3d62a9b9,202ea02d,e422f14,23e300fc,70cd66e5,ddf9e69e,ed122cc4,96eb517b,fcc5b393,8fc97001,194c3c92,f612d062,95ac6f5a,7d69ca3e),
+S(aa80d414,e1f91e31,73483761,a8c34490,202ef4af,4b39e6c8,8726fc29,d6f99a39,7632d7d1,e312af35,7ad03c90,a5ef9476,cdd8541a,ec03a0a1,b02d8ef2,fa380245),
+S(2e6f7aa9,193b67e8,c00703bf,d7ddea0c,199c857d,90d03571,2b41ab0,6b074d98,ee2dd743,952c47ea,e03653a9,22bc1965,6783beb1,76afef17,36bbe2b4,3af27827),
+S(d3ec2365,4346428f,d38153d5,eb6f82b3,409baee4,4bdc1c6c,27b198d9,b9403d23,da15f943,6b0ec0cd,c4769650,8da28a12,32409c80,4484b395,40ca3beb,437104ea),
+S(54500eb9,33d4fbc8,d8f96e3e,dbc93e47,a91b799b,510fe73,61a507f,95973a65,277be627,356c7342,56b97d1a,87f733e2,10531732,6eff535f,6ffecf48,ce635e9b),
+S(b3543a2f,b3898a9f,64eb2863,7bb3a33a,82631cd8,d1e41b22,7ffb268a,d6710bb9,383187d1,bf8afbb5,dba13d77,25327d40,5c363bf3,f8e4a13c,1e259b16,c7dd8e3e),
+S(7614313a,176d1ddc,c28147e8,39d54d78,5a3f42e0,5d7d436a,3be2c1f6,b7ff3606,d540b46c,d87f555d,fa8dc374,8f1c997b,5d4c1c52,1675bb7c,4e3a2d15,8c1e70e5),
+S(de1c503,447eae30,e3fb1ea,bcfd108a,cbfab506,d52bc997,b1c124f5,b610af17,3b7d0b8d,e4e1de4d,c17c00e,ac0727bf,f41b0730,2080ea3c,9c18bf85,9608423a),
+S(47f2fee0,8bffc7fe,5e7fb417,70ea71c6,9a30308b,cea4ebc,6b2861bb,8aa94a41,31659afe,6a09292,da939f3a,fc89e4fb,3fd2f288,7b6efd49,ef1df90c,a48d6e3a),
+S(824c2c6a,f7b9f3ff,a1dcb278,ae2bb3d4,d7112ae1,cb66d524,85c49cce,35382572,dd548e84,3ac82ee5,9004320a,db9f728b,dfa0bfa8,5544e55a,fe8518f4,a9350006),
+S(af4482f1,1157be70,14eb09fc,80bc1857,43ee62bd,376f7df9,f7507df2,34f6881,ed2202dc,182c188,3dd864ee,77b51deb,f8d048d5,79993a77,3fec978b,c880fe6a),
+S(386c5a63,2e56795,54c53c2f,824bdd3a,c8c22364,612efef5,13942da3,cb8cfef5,dfbc9df9,f1666b9c,54f02eef,d482e71e,c33aff7,3d8c1025,7ab17b19,57489127),
+S(5cacf202,1b442903,333796b7,d9d1a8c0,a8a26b00,2ab5cb3a,b6c7a5cb,87ea778e,e522602e,41b4b90a,cd6c121,4959990a,d77f3f9b,87862949,2c4119b8,54e31cae),
+S(3a783ed,2357399e,8cd3c67a,a2e1f321,9900f6af,368080a6,7f18f6fb,c5442e65,d23403f1,474ec6ac,5071d084,2a05a58f,826e4418,c19451b2,b60ba182,777290c2),
+S(fb6d745f,a0bbb00e,f92026a9,f216d470,9090649d,5e761f37,6e4dd81e,51c84954,39cb6685,c0001c34,1d1d5523,55bfbf94,5a97446c,593e0518,baf039c2,368be918),
+S(12d8154c,ed08bba9,d6be85ad,42305603,74c82c2d,bc06d80a,2199d3ca,e113eb96,90cb6ad,3b62fcdf,d0d2f3ee,9e89f7d8,cc314d6a,bb22025a,876f4001,21a3b4a5),
+S(313583fd,66ee564,f546350f,22ab1324,fbba2319,ef69cc81,6c4e9e0,26b3367,dcda990f,b4f2de57,72d6fa51,36da8215,f66d189e,dc91a46d,d50ee2c2,3398d21b),
+S(d27b50d5,30a6a777,3e81ea25,77682a21,a6055afc,4bf05d1e,f0c1e5ed,a432b6da,f2a125b1,abfbd478,74b1b1f9,5d03ac5f,24610d34,d8b2ca9b,90b30c63,33dc9214),
+S(d78933bb,d228b9ba,9332a511,a6d4741e,a42ca4fb,2b79b6e7,1d4f34ed,66a57e5a,61520901,c37fe630,35a0a80f,86e63939,133ec632,41f3daed,e30af5ac,2f470778),
+S(a737c959,b9f386eb,e227f5aa,6cd83868,7a911290,e8ecb6e8,d24a3f18,a1171965,6648f272,322bc673,f8d4b877,aedf25b7,dbd2bcf6,bcbf3fac,ebdcf2c9,a531b149),
+S(9c2033cb,d00de2ca,f6a6280a,fbb615ca,f0513816,aa12d994,e0ec0c01,37b5025f,1efcb986,dd4d223a,1fc4a7be,58bc6f3a,76b02646,c23a0c7,7f174a06,c75928d7),
+S(75b51376,1d2555ab,87027458,d6302f77,26434e84,ff7bb7f2,43b5a6a,7afde413,de0d1bfe,37af2be3,302fa887,ea87a678,264534e9,c065df8,b1f3e326,a47fcf4a),
+S(79fc6858,8d117c83,8a8b8134,c8071d33,2245e6b3,6107e1d6,503c3436,cb00dc8d,78d45ba9,69490bc8,7ff05b6f,2e6f8be2,8700216b,db76b74f,dbf4577b,f6169914),
+S(de006398,1d8914c5,8702699e,40486195,a6647110,2b6576b0,6879b41a,207b6bee,22ac0aef,4a565e1,f159f6cd,5e04c68a,22e80d1f,f946aea4,f5127fd5,8707dc78),
+S(db714e6b,52d32de8,43cd649c,a39307e6,540c048b,e0542b19,cefad32c,a9b435ef,d1ea87b3,ab9acebf,3573625d,b2f58a73,fb3864ac,369ca451,49a42262,b1915101),
+S(25fa0fb5,af46c0bc,75b4fe67,fdd53d51,2303219b,38448403,186c23d9,7f7b6242,45985834,a9766f8d,9ea9dc82,3e6d55c0,75393446,f38e3e39,9b2b7b9,d6b34f6f),
+S(acaac641,852406f7,69e19429,b1820703,fcedb664,407a5cce,8d96c779,c1e51edc,1bcbb918,88be19aa,4f02c320,4f18effa,cfc9c376,ac3dde0f,a529123,7f715cb4),
+S(3674eede,62af1a60,77df180e,260a2d02,db43b440,b1e7ac3c,4ff368d9,8c3d8ed2,d0a393d4,7f953a8,fad2e045,91c62914,14b7ef2,694cebee,6a1c84c1,b8e19888),
+S(f630a661,e54045aa,54a86a9,386e0466,a7428967,43d483ee,72a87d5e,34b255d,4ae7305a,be851491,83b7dd6b,f9faa5a3,8c2812dc,96475a3,87906759,85feefa2),
+S(6b191486,9e262afc,51a94712,72b4765,78337a00,3556aa96,52acb8dd,36f1b3d0,853d994f,f728cf33,85990b39,d8736d28,faa0e8b8,c8b7c5f1,693363fb,6c842ebd),
+S(c9fdccb5,be931d35,5e3e4baa,816d6cfa,7af441f,2d6b653f,d0fc90bd,c7afc681,d2d0190e,c3360886,b2b3d3b0,d8e05211,84c8fa05,b912a105,374325d3,75548908),
+S(5e16743,c976a908,fdf3bd1d,46735de9,f3446673,4af3bd3e,fc6382f0,d834b500,3a8b87d8,28d99eeb,351186aa,23b76376,682ab598,165d7f4a,1c40d8ec,62840a3c),
+S(67858166,15c4c7d2,f1f2da88,1aec2147,d51ae770,ff2c7afe,e007e4ce,a4faf4b7,74404a26,5f0d41e4,6e1f3bdd,929f26c1,f80b229a,18d0d3d1,68e936ac,e3447266),
+S(add083aa,fb71a217,6ef2b08e,8bd713da,27c5cef8,958f47e6,f90dfb6d,1c1bf122,b835f39f,27e27cf,28f45ceb,7c26cd60,691a89f8,650dff32,44374957,c412accc),
+S(5b0c33c3,b669dafd,74c876f1,72357a12,8117c8b6,59dae930,fe2310f4,f96a5d2b,6aa36784,3a973f6b,6a03faa4,b1226950,f348b6fe,e19f1c48,f4dbcb6c,3a141618),
+S(5ad43f2,62f9125b,55a419bf,e6ff2a04,4b09460f,fe6f1a26,d8ab6127,33d50301,701ee81,dfea7250,fab2f190,63df6120,ce47500c,debf7371,49772e84,cc53d54a),
+S(8b78adfa,af8d7d08,d1c24e36,1623da1c,659dcf91,dc51922,2e689267,7277c05d,3a0cfce1,3c25700a,9b255606,f8123a00,ffbdc3f6,8eb3fa88,cfd3b478,e4ed0fc2),
+S(679bd899,2dff3884,dc680a96,134290e9,3c66029b,922706e,54f3827a,383a9e17,2a70a1b1,948a3c01,f5b9e98d,54069cf9,b5a7dfe0,d7ce12cb,731b1fa,83a8d54a),
+S(6b82fe,fee6d419,b66b29e1,88954e32,6c426a92,bb539779,1bf562f2,e06fa73f,918f66f0,10980d3e,b3d62bca,d37074aa,766bd449,cb07ac04,5ec1aa25,36b258bc),
+S(a2174424,8125296,680f8187,493e18cf,41501fea,2d4de1c8,25b048c1,5ef63cde,2cc8623a,42f2c485,7832e98f,a0830c33,7b873166,7ec7d7d1,f560a0d,f2f35b36),
+S(e5c0134b,90cf3791,28515ea7,4a1a8be1,1f35c98a,74322879,e6144f0c,7c74ca2d,2e6b7b85,ce459368,cb2e0cb3,a3291d2d,8f1fc947,2df3111,87ee6832,3477d908),
+S(d44c099f,3388ffa5,6dbd0761,814cc46e,c0f0950a,869a4fcb,af3c0022,f3bf3618,a93be4ea,b5e7b6e1,b3085f3,85e348c6,aaefff99,2c6385d3,c6b941a5,306f3940),
+S(85c3c19a,33794fae,f400eaba,ddb4f122,64888604,ad1096e3,8864a304,e2c07ec2,9100190,4f8c0961,50d300e7,897caf49,c3869abd,ca59c78b,504a78b,cc313d46),
+S(8398d41a,77875b8d,ed646346,c5d24772,d1b13891,98c1a196,c6247c87,c7d7b8b7,4fdba1b5,9a2455e7,5fd6a3ef,83def66e,74361e5a,7a4e5143,7e4b198f,329db7aa),
+S(eaa31564,d148b856,be888987,4f4b7442,38fb849d,988bfcc2,acee61a6,adedb93b,408065a,a219f9ff,395bf932,9b172642,181495f8,43900489,9423ebad,3dfd0382),
+S(d2c6b904,a0ab1acc,a12e5e1,3e794364,cc7d3c25,b53b7bde,812fe296,6fb23626,85a2ee1,df9d42cc,f44e327d,62369563,74fe8e73,c32ba9bd,153d833d,6af8cff7),
+S(f00854d7,742141b8,34d0c2fc,76b73993,a9f92f1f,256b1865,e9863989,cc5bab82,3346d28,63813a88,f874c5af,eabb768f,a5621abf,c57a9002,965a597e,1f7632bd),
+S(207635fc,7364852d,15a13254,9f21196,262a1535,bf6782dc,3ff2dab3,e429f9b6,ffbab84f,ec05fc12,63c6083c,7192f825,987b6f4f,a1a9ec5b,e01e1374,652700c4),
+S(3cb8abfd,a8a5556,15252acb,c538f91,a8dd2523,a3ef5805,23367641,904b0fd3,9715d371,20f86a86,b98980bf,4c9fbed0,cfdc2e8c,fa86d60e,9d35222d,dbbee8e8),
+S(8dccc315,1f8cba9e,384cd23c,c941a3ba,5a11be94,3af2000b,18127932,9f276291,6de7b0a9,49487cb8,6adad7e9,bfb0df97,30f460e8,ad19dccb,7b7e9a79,57fc48b4),
+S(4f0780b5,137b113b,b843e566,9bf5dc39,cfe82b2,d6f61d4a,76555b56,9c93cb6,14de9aa8,8e7d9cd7,61f7d08f,41c4c92,f57f6a7,266e878c,cf407bea,11b9719f),
+S(d2005b24,71e3e622,1ca597ff,9b0a59b,7eeb558f,5103a39f,630f7a45,85500810,1bf3440a,477786ec,27dad5b4,5d219403,9cefd000,802d0419,df34eb32,cdda121d),
+S(4b4d17f5,c1f6b85b,60a1e1e1,a9d1ebbc,dcdeb1a6,3d076dff,541950bc,23c347d1,f8ffeeec,e591cb04,21f97aa4,f016b59d,610fda19,34470b9c,67248011,8f07332c),
+S(a4d4b2c,5cc168b0,a24f2b25,4710ebf0,d5f70a4d,569a966a,cb8e1f5,2c2b7beb,f2307744,f8634646,19723122,71c7275e,2a2ffa6a,3a227294,122c8786,b6941609),
+S(2fd89831,52c10fd,faaab8e5,dfdcd737,b13a394f,4c924adb,b8aee90f,2bf5d1a1,89f91750,69d4f115,d3e3cb99,4f1c298b,9de9f312,74d18976,65238a84,dd5f92b1),
+S(2b66ac34,a669780c,d779423c,17e7a26f,f19cef5c,49919fc3,76255ddb,62c5e2ca,13b2ef7e,c4fb5fc,93fa016f,381dea3b,cbaa9c90,193b3c96,c1a3d86f,e2bef8c9),
+S(1a1dbca8,b710565b,152f3886,e4793f37,36095569,2e782f1d,3ea662bf,87305c27,5af8c42f,99d74980,baae2dac,a58c2d05,718a0abc,ce40ab54,565e7452,69d7f0dd),
+S(5c85b30c,d201e36b,c6c9d70e,da01a999,3a4f24c8,ea0e03f8,226eae2c,877538df,15ed51d7,85ebe78a,bd000285,b64685e7,98bfa397,40ae17b7,f1ddba98,a90ed521),
+S(dc5a2996,fcbf99df,257b14f0,658725ec,184f3411,9271fe9b,9da19708,6aa487de,45ca8e07,e82cd9de,8dbbe106,1ade8c62,846cdbcf,85ed5b13,e51d1680,4b1e3a0),
+S(ebcb525c,747d5ed8,d877f3e0,a632fd7b,88f7f894,84e16ddf,6cd8ef6b,f5925dcb,64a4b31f,50fb389f,cc92640d,c7aabfa4,189e46dd,15e7308c,8d7c551f,789aa33d),
+S(a63c01fd,826ef945,43243395,2344af73,9bc5ea53,3b5e2e6c,2fe64b76,58f89238,867fcca3,7e861b09,4ef2f151,75ac0101,36cead9f,67b00d09,a50a94ad,453a1d69),
+S(fbf5906e,e1e05f1b,850cfa93,34b3b230,391fcf13,94791696,fc63d6b0,71c29c58,61290a35,410dbe52,f64b4b4f,a5dba1a3,23c98bdd,f6dd7957,383bf40e,ece088ac),
+S(b9d3198d,ed13334e,1d43b7a,e909713d,af368d88,a62db5b4,1552ad31,7325e249,4ce0e6b,72358d03,4375c5d4,633ee51c,ff9e453a,4ad7e88,9dde7d51,83adfee1),
+S(b928d409,365d80a8,e7b3e61b,1cc2976d,c1db6158,a31be035,d1e9a8a8,66e976fc,ba4ef615,81b4f698,f653dddf,5956fd95,f6a55cc2,618c0d39,c3c789f4,61be8e7c),
+S(1b4fcf81,5be7ac87,60582a9b,39b62317,4c72e043,48dc6f17,caa6fb5c,9dd46d1e,c845031a,df207d9e,3e006d11,880f5c82,50d225ca,8dd4d3c7,ed0ab170,5bea9b4e),
+S(7f33cba5,c5391f36,b5d1f186,50220df5,cb79ee4e,cd1ef5b8,2b2d8280,394b7d68,91025af3,68487978,1d88dd42,f4746c5f,7cda4733,141c003f,ee4fb1fd,8523141b),
+S(986de6,fbcab206,264c34ad,c38a397a,384bc794,b03e57c4,e3f0d253,fc94c3a0,b148492,16a7623d,d23d76f3,9cd22603,a88f81f0,a2351dbe,b825d1c1,6d46ad81),
+S(f9d3cb99,a0ace3dd,65eb373d,24b3c05e,eb995a5b,65891ef1,3dcac23c,4784f224,3f94c6cc,95fd7fe,63c97138,90c031dc,c9361fc0,6ec5caf8,2e392c1d,b6fa6058),
+S(44b5b53c,9da33493,bf040994,d195f45d,c9be8284,4d12315,4b782a98,b45383fd,7dc44fd,ff6acc88,9536ff19,4d28d892,d1e1fe0d,5d59860e,b58e6283,88a0fe8),
+S(90db2c94,39ec0476,576de7fc,e6efd4d9,4cdc5052,56cf030d,ccba218a,3b3037fc,3f243dd4,4b9e8733,1548c213,9728de99,b520d31c,876dcc8d,ddb218e0,835e7f8a),
+S(2369f76c,240f538e,ea7fe150,3c753bd,b41f031,5f703d3f,236745b7,ffa1f7ce,df31a9d0,dbda6762,ba904f41,3f46ce84,419a6734,56c6013b,939050b6,5d4bd15d),
+S(67ded26c,dd7da1e6,d8373706,7adffda3,3d9fea3,8a7bfb87,5ba7d6f5,96ba65e5,73c5c136,d53162fe,35e5a3de,4190a79e,cc181f23,b5367ba,7d237903,890f540c),
+S(3bebf79c,fa918ec9,2fda707f,800af057,13fe0ec3,efc1edbf,b9fd5917,1bee00e9,39783b0,bcae56a0,33e73001,e1fb24c8,c708c74a,fcb42664,53962973,d361f8b),
+S(31cf34dd,edfeb1d9,674a2de5,11d7177f,e054181,34da2b0e,dd955c52,67eb605,659dd41,89c1c195,6dd21c44,bb37c910,df2ee864,aa5a2a61,a08a9349,34ccf9b0),
+S(86439b3c,3d830a79,1f5cdde0,35821955,2eb0772,f5323278,b8baea2d,5afdec0e,8e5b5552,e244a208,6d5fc389,4965e367,77395e4c,d88b0c6c,ed513dbb,58836e0d),
+S(a7041438,d237f957,cd3423d4,70bf34fc,152d1823,c389e5d1,d700a5b6,34101b4,aef966f8,c9acd2f1,625bfd1a,712d135d,c8e0f270,3fde3ee0,3c6d274b,101c26c9),
+S(8c29a32b,b154eebb,a17eea82,9605b681,4f728f1e,7be0053f,139f6599,d2a6b023,a9813842,6c2ad3fc,e157de97,69caf8cb,f2db0618,b5f307c,200414c8,2fb4608c),
+S(ede37b46,82448954,d786bbb4,874a61d8,dfd38de4,a7968876,c0585cfd,95ee04ce,3b9bb92f,a8e8b6ed,b30cd1cc,5225a80a,53fe738c,cbf6c2fb,4afdd6ac,7a10cf53),
+S(e5cb4478,e91d2fd6,26950da6,53445dcb,5d591ea7,5915e637,3d82f963,f3ea6a2e,dda0bf97,cba5a77a,3051a09c,7d29f91a,3b8b1b3,c1649ef5,23c692ba,18cc8906),
+S(e85f3a7e,cfbefff0,f3ad866b,3838208b,81d8c4e1,dd2fc809,8149f56d,e4c90aec,732a7905,ff3ffe33,d05738b6,1e6c0f57,4c1eccf8,e883a75c,76e50079,b00a9799),
+S(79029c02,c2b0322f,2bf76cac,4b5f8356,4ea652c9,3ffeac8f,7f7882b,e772cb80,3e630bc3,cbf85752,f90b6312,4b9bebfa,612337d5,efc8a0a3,157dc666,27020f62),
+S(9b827836,a74cdfe2,3dd8adba,542e13a5,c8e413a,cbe32695,b77fb140,8ce640b3,66e4c425,7d99f9cf,d9d6a18c,fd40e7c3,9fd37363,b0228206,f3ecb699,d6b2f2be),
+S(bba7b2b7,facbfe34,b945ac0b,9d609b0f,3f0adbc3,eecf16ca,ac54484,dd564c6a,3619817a,1304fe3c,48272292,5d911d7c,ca33980a,33ddf647,19eb63e4,b7a1e6ce),
+S(579c9681,cc98eda3,684b5d4,7f1ee3c4,5f8e7ace,c620509b,56f9e116,4bc905a8,48bc6bf5,90bc2d33,937df32e,a082102a,2f19a6cf,6ebf0985,6acc53cd,b2933d37),
+S(23b30759,4b171e8f,ff9de455,f5eea514,e4c49e82,6ce3bbf7,6d3e750d,94c4fb8a,df57c655,45cac843,6db4dfba,abfac03e,a0489ead,6fe4dcbd,d12c2d2,21d8df8b),
+S(8b4de9d4,f5c53178,aef16a7d,73429825,9e87e3e2,7a803197,98793d23,4c4c29da,a66d90c4,9d441721,3a399ac8,2c84baf2,67569201,3782a5ff,b2cf55a5,7deba029),
+S(396fe929,2dbf359,ad3dfdb9,58e7337b,fe8791c4,d2ab6dbc,35d8c436,c30eea03,69fbad37,4fa06b57,9f67d8fb,48a6f09,99b77ba8,5fa7b6eb,96ce1028,44fc5371),
+S(56acaed9,34f376d2,d036b7b4,7749829b,f7d32a78,bc6b419a,c25b33f6,808d94de,aae2c24d,8569060a,4398c5a5,a6173cd0,dcfa15e4,49642720,32785ff9,f0a7c164),
+S(18ccd734,cfdeac35,1dbc13d7,2cd095a0,49a7c6c,e3fd781c,ed552e71,5ce14b0c,79cbb2d0,82272c7b,9af52227,4354c2fd,80a4c2df,5b434bc8,4c1e99c,f45a1e61),
+S(73f91ae9,f75ee99a,227785e6,7ee3e1f0,384fc259,6a95d8e3,2436ffed,17f81c6d,f410e115,f57f618f,225caab8,388c97c6,46a37aeb,f184bf2e,408bae0d,ab2d475f),
+S(f0216cb6,e9868a3a,cc859cd2,fee969f,b35fccdb,1754ea51,52995dc2,1d9b318a,e3a9a102,719d8398,610498ef,b5dcbb0,27fb3509,af587b9c,2ab5b5f6,35e2ef1d),
+S(8c92a0ec,935d03d7,5395de25,3c2c9e15,7026a8d0,ae59a2b1,16d175d7,f70a8b46,8a9b5351,f7a8a20a,e159fa6f,afd58419,bd0e9dc0,def54f15,aa12abfa,65eb73c5),
+S(be3bdb59,6c9ec252,5d7c23bc,788ea0d2,7f4c51b0,69182cfe,c095a13a,20b650ed,932c016a,7f006ec8,b73a6d7c,1ad1f2b,ce72706e,bd7e8713,e8a8d093,3586c9bc),
+S(24fe525b,362650cd,ed8dee61,7ab4fa69,b06ecac3,fbe31947,4dbd982c,52ad2260,d9c484a8,e7aa329d,136dcd4b,612e0768,3796dfc2,a544a237,73548b9,be96d555),
+S(f3a2b68a,8d16b9b1,20067bc0,6ee2f0eb,bab70ac,d6abe6b5,b12ce933,edfb2ff,a3abec92,539974c2,c2217584,2b9ec9a,3bfd4b3a,21c64a6e,ac3f608f,6bfb45aa),
+S(fc9a67fe,9cb9622e,a9f20b68,3b19f623,5e12ed25,4a1371b8,196e0629,e43eaaa2,8e3329ac,2191732a,45afe600,43c6c5fb,ce9283fe,695d4f3c,9035ea60,2ceab399),
+S(c539c35c,9bf0bd06,af690154,88e4eebd,bb766ef4,737c176b,3bd412d0,f933554,caeddecf,f0fd023a,dfc17791,95f18c1e,bea4bc70,b98eb85,405d5739,d5871906),
+S(15871ace,89c88dc9,1d1bf56a,eb4fba,8f0fdb6f,df107705,65ef33d6,345c8ce4,70577775,4dcb9ec3,4765ad82,2070a26c,53c5fc5b,d3a6d8c5,1fe9eb83,635bb9fc),
+S(1087625f,6eeca00a,fb9f7bf5,f4b94515,2316693a,ec8fff6f,57217e6,38804398,24b6cd00,e9ad027b,386afca3,44bf48a4,ad587342,2d3d24a0,5eb17150,bdc1a929),
+S(98d7bcbe,6aaf808e,3909c417,66e54495,236e1724,6372f821,ea07fd82,686c0d07,b911aaec,47b9e901,4c990d08,e094d124,d8fcff77,f594244c,899a736b,e0661d89),
+S(865989f9,35c9b044,7ed36d43,90ee5bb8,6403ef0e,67c3fb9c,eca1f2a2,f7e170c0,533cc475,ed1df473,30a032f,1db8ea42,d6b0fcff,f53007fb,cd41cda5,cf06cc1e),
+S(b67f49bd,f912c892,9b26c35f,bfe2535c,830e8e4d,6c62930a,aa8527c6,1ef9cf14,151ef7a9,c08909a7,5daa0d85,e593c7a9,501e492,dbc41800,bf03fcf3,5c12c427),
+S(b1ed1735,9a5f07a2,568d9740,3bb402ed,b313bbec,7d037bb0,cbaa2ed3,eacbd50c,5635c19c,1932696d,577a7bbd,411cff9,81bb057e,10436fc,91000bed,b638afa1),
+S(6d268375,ec82b57e,7f8499fc,bda8f952,ff6cb4ee,a0f7785b,a8ff6610,84963c71,6b019ac4,d809bf4,1ebd90f5,4d8de537,6171702d,da3e4e21,b2301014,87379b95),
+S(8a17346a,c18e4d6e,677db3fe,5df942cc,ddc66882,e39002dc,5815ea02,1ca5c332,c457ecbb,add867b8,70b28f7e,b27bd804,812c362d,1e94d89d,741abe02,59990928),
+S(4dbaef58,9616daa4,4a8f892a,e48ac0e5,135b7385,25178135,a233af40,fbe506,90df93c3,9badbe3b,6eb28cd0,8120df1a,442429ca,d8d80108,af4bbf19,2d37b9cb),
+S(cb18b241,a5d1bd30,361bf7c2,beb4a14d,3909be2d,dc7c62,d44e35c2,298b5a96,3c0a09a5,d96cd4b2,a1d15a13,341d455f,c04e3008,87c4ea96,d8f71c7f,ed84cacd),
+S(cc463ae6,a1114d8c,107f543a,ef50bb07,cfcb222a,de5920ca,58ccaa19,750eb90d,31b54fa1,d115415a,b7931343,a8143a7c,cf2877d3,3d3d1f44,464163b5,c61c77c5),
+S(8a0c1391,777b772a,c90d4d50,6f0a398a,45b2fc65,331a67c9,dc39aecd,835bcee5,b8d2bc1b,21248b66,2acd6e9e,1ae802f5,34558837,7da057f7,ad732684,79e4720e),
+S(6fc3ccb3,acdff113,69caa83f,e304303,4a9dd77d,fcfa6c25,876cd2cf,75a5d7fc,5d0d64fd,d8f23aa3,5a7b9601,fa6d6deb,bdba27c7,2f227cd6,c4d3889e,49b15379),
+S(3b10fd6a,125c3a47,2315bdc5,9686cd80,5b221012,65726bb0,64c974e,e74b778f,20bf9e4,521abdaa,347fb4a,a98a70f,303842d8,4f3e04c6,92d798ee,be97313f),
+S(cd78581,a4707b5b,710bb827,b3d9c1d1,ee4a595d,29f90d50,607e3970,620ef0c2,26f5320f,2b512c50,e773a94f,3efba18a,cf343c5d,553f9ffe,67b39cbb,7f0b8831),
+S(9bfce83d,b9e2cc9,969d17aa,eba0e037,22cfdaa2,a4175180,ed8d8ce3,7a7deb5d,2d2cbbf3,fc83d702,2d39191f,42eb42a8,555c3884,21add05a,18bb4376,4652477),
+S(124e59c,53bf8d0b,a4189a1c,5de61726,3f6739dd,323ba104,892b505e,d8248d31,92d050a6,3e83521c,4b08061d,aa635990,46d52c4e,67c014c,5e33d7d,a6e01942),
+S(20948e19,7a26173a,44011c9e,41676cd,661acb99,45a9e4ca,c0dd42c4,6fea02e1,8138a593,be21c5c2,472a37f0,5f2e9151,31bf249e,c6128dff,d218307e,4b661d48),
+S(50726fe5,fad5628b,441bbed8,5347af3e,506cc7d3,43d7f0cb,213d63a,aa54365c,47b065b3,280c1f8f,585e05c,dc9f8b28,73f79479,b95a1bd4,c0a80469,eba92c48),
+S(fad9bfdf,550fc926,da189531,91111112,a4120e56,db459577,aeea7e13,c2073f2e,a87e89e3,8d49513b,23aec5cc,a251098e,c6216ae8,96257461,2a7b4e08,470d680c),
+S(66fe56d1,7395a7b3,b016c8b0,e5cdafef,d9e652cb,526374e,1f7000ea,b956f33c,ccabda97,a6b6b288,54efefa1,ff17f621,88b7cbc7,c3d363b3,25c31235,ecd26292),
+S(8273997,5b5cbb89,e4246a1d,6428bdfd,14cf068a,6394a31c,a5cad01e,de3f6da,54d7090a,afe68aee,95a2f829,9d324bcd,9a1c4e16,17370b1f,5b940cbe,845a5013),
+S(dc038ef1,5db1cab5,25660c8c,11afd35f,9423d230,2bf5b002,5df30400,a84907b9,cff2179a,904e5f81,e996700d,e64a548f,6ebd7b06,bc12a6cd,2ed74af8,9cabad6e),
+S(fd501f6d,fa76dfc5,8da70f14,32eb1053,a5f82fc2,70ed661b,fea83798,acf02483,c04b3038,c2f4916b,178cd919,e953853,77d7555a,a7e3695b,1cc8fe89,d5d001b5),
+S(c33af33b,fd47af39,ff687775,aa5e6ead,430821bb,695ba499,e4433a2a,d6190ed4,18555539,664c445b,6d317892,1af772d,7ae10c15,62d1ddde,91f47b5e,a1d4898b),
+S(3e1835b6,34c53347,5fd5b032,334dc281,97068930,fb7bdedb,f8988b64,acddd3dd,2fcb5d65,940e235b,f8e1de7b,6aedd7d0,d2061181,dfbcd049,85df1505,a8c61db2),
+S(c3b0ff1c,6a0ea466,357ebb78,f9ad0335,2b964b19,8e30e1c7,5b37bfc9,87e0061c,3ddd3d1e,7d97ee9e,748637ea,d8ec4987,d06b1f11,cf9ee9bf,12e85965,8574a95c),
+S(1b690634,fa027e38,cabd8f87,3733476e,4f8e4bb0,543c5f6b,88575103,b51f29b9,3fede999,23be0482,caeb15c6,c7f2a00b,92b92a97,e66f2db,2c5d76d9,aa58210c),
+S(4f661a50,fed5fbb4,ef8a1888,f1fbd3a8,b35b38fa,91d8601,80a3a70f,17f4fa8e,80e5e5c,7d41736d,29f94284,ddf06611,2cbbd024,60723497,9540c1aa,26232e59),
+S(4a251861,333df3be,7b5852a0,f8eed900,dc58d2a7,3cb6d2d7,d45ac506,55126096,7b0734e,be6edf25,b9b4845d,8a93b0be,4f9958e1,2be61a3d,1513dd71,1004361c),
+S(ff1c9a62,10360484,6bf46453,246be39d,7f595da8,dc17c86f,8c441b28,64b99d6a,7f01a489,404fa78c,aca02b7,f12a654,5692c8f4,fb787e4c,6e18a9e5,8e1be696),
+S(4df0bff,651a53e9,30f631a0,3b6c170,ecce67a3,f92ed930,79e92099,46994deb,c79c834,33a1e795,f4334535,67e122de,bc81c4d,ab48a11e,a64af4de,4c6ebcd4),
+S(2dfcd43c,a0000881,15845e7c,966004ea,bd4c909d,fb725642,18bf28d2,d66610b0,6ea9912b,e3232c75,c25b8272,820db699,bad9c292,8d2fa03b,c37dadb5,75a78b1e),
+S(2cc759bf,7caff909,4abb456f,f8cb214d,f9353f97,e4f802f0,879b7ded,69eab4db,76ef9968,553c505e,697e5981,1f85a6bb,4d41418c,4b3b5dda,a024d69e,3a2a66e5),
+S(a72077e5,8d73d653,66cd0f70,fe79c8ed,e9ef34a1,3e03fa67,70ae3f99,3210403b,8638634,217b7929,f8bcdfe6,4a64c053,5cd1640b,cadd7a2c,e6c5b880,90de01a8),
+S(9c598d95,41c3ef74,73c94eab,20021f56,11ce40a2,34936d66,3130f788,14136c47,49702707,51df2f9b,d41b1ccb,1ca90f65,1ee65f69,75262725,b6962c56,dcdf2c4d),
+S(5704f6d6,463ed861,cb25dde,343beb26,6557e3d0,7ef35c9e,cc435efd,f880622b,6d605d31,402c9bd0,9360f2d1,1a4f7a36,ddb8ee7d,543932c3,d546162c,cb0e4660),
+S(d47b07dd,58962226,fdd1ec80,4a484496,ae3dba3e,41e18f9b,8e48ff60,4b00d727,26e1094b,c62614ba,1aa4df72,f3486975,6b8eafc7,b04a3770,22865b3c,a52028c1),
+S(3971f023,44b7b268,754180f4,fa30d0ed,6596d59c,eb806e0f,9186c9b5,54e62b09,1895d58a,c951971,39d03562,6676fdf,cc53dfc0,317d976e,b0afb990,cc1b91f),
+S(4b2be90c,e3e3a804,c469fd40,57bcfff6,6e9a220e,713455f2,ce4ee3d3,3cfa73c0,c0e2b79a,cf348a04,6f301f71,bba98de3,b9d1d8d7,ee16937d,e11e49e3,67c3cfd2),
+S(2138e37a,29bbb1ba,2f051d4c,984d36a0,7531aeef,63fea098,417db4bc,241a180f,2e243bd0,69c0f7e7,f7319bfd,bbac12de,e03cf686,c97eefa6,dd58f17,c747bab2),
+S(bf7bdaf,15838ccb,21a9ac7,3fd8d2c6,2013a163,85b583c,4c458db7,f8ba787a,8481d283,c1c4bac9,87ddd181,b12a2e79,a60e51a,2323c981,efc7cf51,a1768168),
+S(e000b589,51237195,b81ea4ec,a4cdcb3f,b509eb80,4322ac0b,69feda94,e78fdb1a,cb527a4a,39a9c03,3dc01d1,d4221deb,b89b1126,8594dc82,fa5faf80,e538783b),
+S(dbb2947c,2602e2ad,19ae7079,b6b9fbdc,59bac7dd,1e865f8f,3c802ec9,ed951414,9f646e9a,9f069a54,c1f3e88d,e8fef48d,9c6860a1,afec56be,46ac8943,d83e3cbf),
+S(40bab32e,d118cc1a,bda71e7c,828d1ca7,aac8087,b720766c,409f4d78,e711dda9,ea7cd00e,c553e8c,56c9f992,b16a9830,a4ac30e5,cdae357b,148bb413,9e2b1d3e),
+S(b2860f17,55e3341,eb6bbf11,a043b6bc,bf70472f,26b2d276,e9c30516,9c478b9a,bf7cc672,94909583,ac6147f6,2c9a3a64,8249513a,9f5c42eb,d0701bba,24b9b1d3),
+S(d6e4a042,7f254b5,f2449539,9d6c0ed3,a741022f,f7fcf819,8a7ac04a,3e0183d6,ab1127d5,17900200,4cce6a56,7dc4b9a9,c88518c6,a8e03d4e,daabad76,f86c7be0),
+S(57c70171,aaae00e5,e98dee16,e0d74df,82b05fda,8a01db96,67ce4d8c,ddfa9aa9,f4306dc3,1b82356d,8875244d,a713b6da,9fcc95cd,6c861ac1,1df62e6f,c6469e32),
+S(e95ec894,230825f3,83442633,8cfef200,69ecfeb1,41c4bfc6,d0d6f2dd,216f36ad,e1f9012d,ec6f62bf,a1b5df85,c4ce2572,bd5ffb4,b8bd28d8,bf982833,e2d50eb3),
+S(99d32dde,ddeec538,c8189f02,40bb4d44,cfbee72f,b3d42f9d,319dd7b6,97481451,75d2e691,ca7706e2,9d8c3686,d3fb1ca1,5a505a11,7662a2ed,347fc0a1,8531ab77),
+S(be2418b9,b2c44233,b4d97d43,87085579,9219604b,f1a689fa,54523d2a,85677b93,69046a2b,8c329e27,cbbf7b9,d31f2009,9f5aa01,fd0b3905,988f2299,1d73fe99),
+S(a88ef29a,67ddd120,c5d43d52,9d270c64,16750835,84a5dcc7,2f05be84,7c3b9b3e,902b663,4466410e,fd0d2251,ae10edfe,72a85d32,6d6a638c,122d7160,49c6881b),
+S(95ea7c70,c4d0afc7,b31826e,c6dda0e1,491181ae,8970cf24,b99a8f41,bd428b3e,6bbd0bdf,d884903c,63a2a1c,df73f6e0,6ed335ae,53c64cc5,fc775666,6d8a15ad),
+S(3341585e,671b8891,2d0b2944,334649af,a0bdebce,cd445e40,6e416ffe,f2cdc88f,bb17510c,f427e741,5b36269f,c702fbc7,42e36c20,95b69fce,bd31b7ba,fec345d4),
+S(34e362c3,7c2c7b59,c972eb54,ab315cd3,da472933,34a305c7,d35c754c,3a440045,5e5d2940,3119cbd0,685f1cb0,b1e446a8,ba9ad625,8234ea7c,8652f971,c53d1b44),
+S(f8c6c1c6,16b8bb82,c8d77244,86e10cfa,105e9a01,675da3c9,8e3936ee,ee01cc69,dbbe7cff,73929f21,4bf4fbd8,aba3f18e,461c4855,a204a7f6,319ffcf4,2437fbc5),
+S(f4f98cf5,2be30eae,fd2ab1a6,dbfdba9f,8676cc6c,8b32a6c8,a53b10ef,dddc3051,77fed97,782ade72,bd5e41e8,c4b376f6,fde76267,b0a0cc45,a56e3f0f,ce6b2f03),
+S(8b642ee4,8487a3fd,2d983039,48cd523,6456f3c5,f9d8f4e6,4f0af631,96b47d8d,22ecdb21,2e8ac0db,bf74c4b3,685339d7,e417686e,1c5337e4,872db54e,aed524c4),
+S(5f6923ee,efc718e3,25d22dc,445e04ad,dc460268,58349b42,528c0078,f2a725fb,4ead0dc7,e697cc39,35d46533,73a21016,1a00ed11,273c3ba6,9c5f45a1,a4f38198),
+S(1da37bdc,abdce508,9dc3aa72,2c93fb5f,64dcaec7,759064f7,82926829,b91ee1fd,1ecbb28e,f4f4b980,d92db2d3,c78919c9,e762dd5a,ae449d58,7105d84e,41f686dd),
+S(ff3be7a2,cb1cf4e9,7b276ef0,235a7eec,addee879,78147bea,120e8ae1,bf888cfe,10a7bae3,da012eea,89b0cea,8deb02ba,1515ec2b,e0b83d05,a4fc152a,8b6e8371),
+S(1658579f,72067096,947817e8,e9c22574,8495eb1b,75bb3729,88d45b93,d90531fc,d4538ab,19420b47,3ee869c1,cd1fecbe,f1a8ce73,871a7195,2319bad6,2ae450c),
+S(96edfb55,bdc70246,21e1b92c,d2e85b07,b0ba9244,adcb5dae,f82f7afa,a97956c2,3666a36,1c8d1b06,e053ba0c,4a76dc88,2e3fe10c,e741defd,48ebee6d,4877cbbb),
+S(4b4d282e,853b581e,55ec4271,e78c2cb9,ebf1cab1,8c15bdc2,2cdb05f1,7f8e44ad,2be45bac,a3257d2d,ab1a5e66,216f421a,2339eea6,89123e15,2bf7b010,e349ee2c),
+S(fa12b099,eef9acd5,4c1c6224,117bfb60,12d5a208,553ca232,e030056d,1a141e17,40ed149e,d62259f5,fc98142b,9753503,ab7e9736,5238d4ea,c80b6859,52bba875),
+S(c6243386,53084c9d,7bbf3b74,39f0b21a,ad2e5233,17259d9d,af2de00,1d4605ad,3b5376e7,1f08cd2d,3d319056,94608618,960e73fc,d27625a4,92613667,caacf3a)},
+{S(9a1db7bf,53241ed1,df8d3ea0,f70c0b26,76b43ebc,bcb4622a,9704b0a,3067400a,e3638ad2,95740505,455b2e1e,d495c57a,54ed8e8f,c647a6b9,c69b7dd0,715cef52),
+S(90bfdcaa,eda30aca,f86d6eab,82407089,3746efbd,62f4a400,86e0589a,f3ea5cc3,9400154,63e05bef,5a4e2c2b,8681a1aa,95042864,447c7bcc,5ba2576a,eae911b7),
+S(4666582a,2265fc0,643b1f3e,d003ab1a,d4567a1c,239e82d7,15a8f6c8,23616100,d7efadc1,2e71ed16,cebcd191,f34a70cf,eee6a7b0,dfa87724,dea4e464,ce50c9bc),
+S(a5338432,7502bcf1,4bb11dc0,33e544bb,7aec0e46,f40145c4,db65cc46,203d969e,b228140a,7f3fcf9d,fe400a28,90200ef2,6e5f3c78,989406cc,b9fd31e2,e9d54049),
+S(d6da1a9c,c1d81eb,9dc9a048,9acb4b74,d119dd52,684f12d4,3fa6a74b,7130c43,6ca8ebef,39c08b97,761cdb6,dafd2143,55715bfe,e8ab8e12,e51bf1ed,6eeed696),
+S(27249c84,e21154bd,90034fe0,c5c5c510,c6b90e32,1ba4aa98,ca34be19,c918fb5,60327ac,f3fd64d1,ab14fab6,afe20b42,cd493af7,1d3fd0a8,ec2d064a,ecefed86),
+S(cf6fe5b8,cc605dce,97c1b586,e3eb5945,38c02888,43bbeada,65a6b2c1,c2d66d66,21f3d35d,69afd6fb,704d1f0e,1cc2f720,2852892b,afd431f5,8fe3c1,3df78c1f),
+S(cb10e984,f228da46,2063ce84,3503b423,20898a8b,98795846,8438d88d,4f0344eb,5bcab6c0,5de27bec,714ec992,dcb2875,d53f3f6d,a5ad247c,c81e8093,504504e2),
+S(58c2a274,ce1e7d49,5a1d7fb9,7ff21f88,9e6e5230,5453eade,4ffad95,36037bb9,82e4a06c,5f7a5dbc,5e30b43,dac01491,addaa6e5,8b1a33b2,c082b4b8,fb50072),
+S(d59e4e8,47e98edb,a494a195,25d1ffa8,63b2c22d,2476b2d1,2d704c0a,b30a56a2,bc2296d9,53902891,4278647,fc755979,c8d5cb3,502ffedc,8f412cef,51245085),
+S(bd7feae1,1c4f02e4,9b1b3697,9370f319,88227ebd,9f4a6711,62e70744,6e452cb1,84cb5bd,1ad0381a,c9eaca88,b50e27da,efffe65b,f16f6bde,50bdbfee,69d22e72),
+S(4757cc99,f4010ebd,d2e8c24b,ce7e86ba,febc4175,3f1f3ea9,f7afe8b1,3b0e7070,4b5cb36,55e3f5b6,bce14af,62ca1ad4,97480431,3deca874,dd2f8580,730ab36d),
+S(e673b505,1e2f3e1a,f28284e9,b32d0c9d,16e7918a,1b8a13b1,602444b8,875d3d4b,f17f068,d02dc75f,dea5ebff,549a2f86,f9598c93,4db7050,915dc965,830bcc1c),
+S(63d23920,6855af5c,c8c7f9d5,4986513b,455ca801,e172937e,a93a98df,78f36679,f95c588a,ba4d4bfd,fdac3c8d,f8a7d14d,7800212b,504e3deb,9220bacd,69e12f2e),
+S(e74fb7b5,202d5a24,37a982f3,5018450d,ffe2e238,cd4fe3c0,60ce38d,18fa18b6,4715c0a9,f58d9421,6c3535fe,d6140395,e302e18e,2df0a870,52cd05ac,db917ae2),
+S(1929be94,197feeb5,ac631038,f07c7db8,ff2226d6,c1763d47,a45c9e5e,7719c60f,c7816c80,8fe129ef,9a5bb8c6,674495f9,3f1e711,133e3cb6,19dacef3,815826e1),
+S(76a43955,8d625d34,8c5cb3a6,e2274b60,8c93f08,6a0a7aea,be1858e8,7c1c359c,9752d697,a67a1743,9b5c4359,76658df4,be1452ee,1d4e0645,597f59a1,c60b3618),
+S(4a3c36c,6418b8ac,920004a,4f47bfa1,1807619b,9fa39030,95f1b0a5,d91f46c1,95668552,e63f7fea,cd2b09d4,9c49e2a3,2f2fb824,11c5b819,c0efd09b,d64f6b8d),
+S(9c5a32f0,d1a0f2db,253d47d5,e7c44967,26bcc7d3,b61e3731,3bbe5fad,ccbf4625,232fee50,bfd72474,af4bb5f6,afff7eb7,17efef90,7579d0b7,38542e56,67e05de8),
+S(672eadd1,652ec6b6,a0c37e3e,7c8f0d5,a51d6f40,fe7bb66d,b4fed735,2e066063,ee5ba376,b53e9238,efb76b38,2424c8ce,d3b0f91c,99da4a5,7c98b7eb,48e5b891),
+S(f78a9f6b,77af560d,c42d7061,831270df,21a73ecd,a7bc19e5,bff6649c,414b45ca,9f9897db,a7ef70cb,f4ceb71c,2572c3c2,b89c9c0f,a18ebdad,fc413d34,5289776),
+S(2fdc690b,b0fa8c76,416b7ab0,ed6fd336,af4eb887,f13d5b1c,f7aab941,a7f63690,ab602a5b,f8ae3e5d,9aeaade1,1d126154,2f38a881,d577daa8,fe89bb22,6352c6a9),
+S(3e6d45fc,5d8a498,b31d95ea,acb33144,ebb45ddf,ca3fd8f8,b5b22f4c,9d57cb6,f7e817dc,b718028f,3b18691d,8b9a25e2,884954df,59141cc7,ed939e0b,94cdb2d3),
+S(6bfab01c,caec1bc7,1c38fa8c,b62ae3fe,9a24ee90,f6af6206,3b12d9dd,e83db7f4,5fa5e4e4,9d5f9641,559636fc,35b60199,68097451,10bfda67,a27de3c4,6792eddd),
+S(d0e37c85,88d9a4f6,f135156a,25a15af7,2835de73,53f7b4af,336df017,d69a7fc4,8b9d798d,3cb04f70,41ac72f1,38462cbd,533324e0,871230ed,c3a06ef0,f524e20),
+S(3f2a406d,eef9506c,2432dbe4,cb2d0a6c,a794356b,7953abb0,1ea486a4,e5db86da,ba0e92ef,aa00c78e,6f854963,7d8cdb5c,30869636,2cd71113,a3cea5d,9b492210),
+S(d8b41f1c,2d2eef01,2b994dc7,21ca505e,818ac75f,4a396750,3fa3fdb0,2cf56fce,293fa011,7d231d10,30daa322,94d74507,3f9cb4bd,297a2f81,c812735e,33dc13eb),
+S(64a07ffa,80f69a36,19f29cda,d1dc1b41,d7d58d6a,83470353,1f8aeb3b,eae51d91,b9b83f0f,43349999,d8efd66b,695bffbb,f67d3817,808149da,23978cb9,b43ef652),
+S(348c104a,9bede4ae,3fff9b86,15eaafe,440a1cc2,1ff484bd,b442ad84,86dca015,41820b57,f62d6668,ce7fb53,2f3d3a94,4ac47c22,ec302d69,f98f355d,ad9e79af),
+S(29fa80b3,e0a7a062,678c4612,41fefd8e,95f8e02,14795ae0,2afe449,1cf58041,6e3ae72e,ed0db6ed,1398068e,79cbed22,791076f7,515d5383,8581957,a73761d1),
+S(6ecd85c0,afd6c385,15d8ca8c,30d618f1,8963b70b,fe73531a,11444a85,35c4ef29,c3e0cf48,4522b927,c1615ac7,9943e94e,aacd0849,12cd7221,308aa14d,95f05021),
+S(7602cb28,f9703b3d,e0bbdf84,5e4f9326,712582b5,1a0cd719,a6674343,af2d089f,5b026bc3,bae6db2a,86f6f970,1682d8f9,82363e02,4bb703a3,945d7e19,d0b9efd),
+S(a59436c1,389b4c00,5e4534a0,c7ce00b0,56f72ddb,a2b920e8,896d3bdd,74b29723,36c401e5,df5f695b,959c0474,28c9366a,774f744c,a60dba69,4fa55d25,2a5afd9c),
+S(55377738,4bd49ab8,21e96778,17e0e95e,b6b08aa2,92a5ed47,9eeeb607,a0f4e176,61257b61,744f2c95,2d80a9df,29e47bb9,ad933877,eea75922,a31acb83,ce7c478e),
+S(ac7ac723,2ac8d976,8e34fe45,18f5fcb5,518ea1f3,37d5bd53,5d5df329,d20a5f4e,e2317908,50bc5a02,f14ffc6d,c3785319,c30e93a3,29304698,a136d6ab,957ed52f),
+S(9e49dd3d,aa78f89,af09eb7a,a87cb01e,6b55245f,dbe5b5d8,4c43db0e,1b5d26a8,e0ea375c,dc5eab64,54d16b5c,ec1435d2,14b54dc0,51806c9b,e232c64b,9843812f),
+S(3537f749,4c903cc5,f5842fdd,c28aa98b,973dcbf3,20e2da65,127e4b22,4c747f59,f9cfbc26,5666e24e,1a9996fc,389ee639,ca350fa1,7a2191bb,13a2de15,63ff24a4),
+S(d7ff3397,7aae895c,48e262c,1c93a0fd,2ea94961,bf19f720,77978415,e0f8591,2d3f2397,1cffe0f1,74a3ab24,614f54bf,85f4c513,21cba826,de24b150,cf77abb8),
+S(76336d96,8a54c4f0,365712d5,a34c60dd,ed6de6a9,f4883994,f4ce2331,126078ec,ce745d4,62ebd771,359309e4,ee03b19f,83db6e4d,5ce7fee4,f5e3033c,9bae1c7),
+S(63b503a1,615b32ee,520657d5,d2354c66,6b7ba964,a5efad65,d5957c99,65bb6991,af4ed8fb,bbe3a6ff,ee38c670,688351e1,d4a4a45c,7d5b9d5a,ebbce84,9a4ee02e),
+S(a562ffee,3f8e26b7,1b3bee24,2fe06199,a198f76b,8b98a8d1,d67e176,1dc070c0,ffbc04e2,c268c14a,1a0fef4,bfa32008,f38a21f,891df618,72fedd7b,5f2cc270),
+S(5be4337,20a7b123,1a171a80,fb72b580,a7045724,20d10b9c,786cb0e6,2882044b,c592daff,38d12615,b6af0225,7f39cc28,1447e965,9daaf5d6,c45bd486,f140efa6),
+S(86f7afa1,e672e5e0,f33b0346,fa6e3b0b,1087f85,1526271,2ec07e9,82b80843,e7425903,c36d44df,fcbd0d4c,1a272123,18463d3b,12aaf1d4,9174c4e,3777d32c),
+S(74751604,d00ecf1c,a56ca92e,9ef64457,fc2f6abf,d067cc8e,b761e120,c0019c53,94fc0537,6f69a1be,f8cfe400,31078265,39d625d6,8ca5df8e,2829469e,d3729995),
+S(8b6a6378,49ca68f9,27f0b6c1,e934892d,f100384c,5d902c12,feb4956b,44016e72,862e9458,3835340a,f7c4cb5f,9ce0c566,c1a42452,c4420be3,2ed88324,3f6d7cf6),
+S(9812ea51,ff0268b2,f94063d6,ec285595,ee8351d6,b95bb35a,d6577ff4,79d9d18d,c4ab286b,2e9d9545,d1ea9b8d,6ca577f0,ec7479ae,97ffbfb3,27bd9084,8f3ebe9b),
+S(4bc3c5b6,3e1a82bf,3ce44d48,25c82c65,8d5d69a8,a1e5b4a9,358ed443,f89cc7eb,4eb838e1,2eed6fb2,81d9de11,cfb5dad0,b08ae9be,f7c82d80,5f3c7a19,3d46b1b6),
+S(e269b40d,e9dd3fa1,b5edbad5,83a90477,2421326d,61611b51,bfca9231,4afb2c3e,76633ec,7793b5e3,7b1c3bd7,981496a0,1b9cae51,2ce5d589,2b69c1f,a437931a),
+S(7abe755d,9bdc8c37,e99d6917,e5d0dfb7,7e90102d,7c278af,e10c6f6d,74880322,fad617e,3612687e,d31b7597,2bc98e83,c7af5e9d,f4a6e12b,ca812f70,1c5a7a97),
+S(8eb690bf,8c75a72f,e635bc55,ad05856c,9083a672,3577d776,2743b1d4,df0d88c2,7737abfa,76ea68e3,1482d3d6,95f1a7a8,ae4249ae,37c68c95,ae605814,6a288958),
+S(d0413b90,c3426609,6ea9401c,8e41f0d8,37847c1a,47a47b3b,fd6ffe82,58d3b38d,38c1b369,1865a029,af58a847,4278fd49,9ea44686,7a8b4ef8,63b6dc96,c66e1a38),
+S(1bf1b231,9468cab3,2011fffc,96f296bb,8bb64c69,47b590dd,d9d8edc8,ded3668d,1a87ff27,bbf79298,807dee37,bd488762,3a9b5c7f,c5d61e4f,d4de16c3,e7988c1e),
+S(bfbadb48,ae5a2997,c368e44b,beffea6,b1682b01,f492c9c2,6bca3fcf,1a0e01f6,7fe11de5,4037bcf4,3418d062,d0bf0bd8,a7399f29,e65f5ecd,9f9e2693,dca6acbe),
+S(c2d48434,f2fa7dff,d206ec93,5def03b6,ef2401df,c8c3a126,10f77d49,c14f239d,68e9c025,7483ec64,fe6ec6fe,1159d5c6,400c9d0a,397f0e08,9e92430b,51883316),
+S(4af55e6e,f210442b,95a50aeb,51e87ee1,b2546337,664d3a33,9c12a655,2e3ac08e,4f81a92d,fc5c3e62,da712c72,cbccee05,da2e4cd5,6f901bed,a96f9b5c,5c5f9d48),
+S(d89bf279,472e7b5e,6f41f460,3d348143,d15b1dd4,7bcef4c9,1274f9fe,9f868ced,cdd02079,9e9d91c3,8fef3631,12a3edc0,962bc718,b7f467b6,45f743e7,db1d66ea),
+S(c7cd49a7,27c9e003,dea93f26,fb888cb3,770f5637,58d4f40d,ccb4e0df,d2d1ba1,85bc461b,7e583884,2d4e643d,91ad3179,30d9949b,b29fd94e,4090e6b3,3cf2772a),
+S(e1cf9c4f,e0b525a1,290d8ec5,1a3cfb9f,6a78d2c,e817ec9a,a39a538,4f9619af,b6aa8225,d0ebf9c3,4aa0392,a81df722,c8d29cc1,f03abff2,cb7392ba,ac78f5bf),
+S(4f628bae,d84bbf1d,fd568c23,10aa10e3,a098131d,65484a80,653b4eb4,ae59b970,e86292bd,cab0f1a,63ada7af,e350fee4,2dcbc618,6838123b,186974b4,16ff2a5a),
+S(90b17b58,9674a91d,7c2c9443,61cf8adf,b47e733a,bc775b57,4838fd2,d40eeaad,72c69fe2,ba39f165,5ca31f41,7ccd004c,1eca2392,2973e47e,ffb423c3,5c9f54c),
+S(1e13fed8,6aed242d,c543d2b6,9d3ffa88,c87731fc,c4f6ea48,fbdccace,b60ab263,9c1a66d4,47de8c53,2f740f38,af9a52c8,160890d9,5b573c09,9981297f,df8995b4),
+S(fe036a4f,713794cf,c0cd3b66,b1a124d4,c6a5374f,810d11c1,30c16fe9,1d8e81aa,f7ff5760,544b9e87,489e3c76,addbca52,308b9155,a7848716,1dd8c1d3,f3c81816),
+S(2f9a25b7,73b6cb87,56d1f4ed,691a4fb3,be7ea324,bede8c0a,b9446103,dbb96323,df92e84c,7b76c4b1,f55e77ec,d541ce34,963e9f5a,f4d68fcd,1685d060,c99dda22),
+S(ff65bc77,a459bd32,21742391,6e2f9438,b6a38b71,c8c06d24,84cbcdac,ac0522d8,efbb8c9b,8ac9200d,71d4a944,4dc9050c,4661ff4e,fb0c953a,c1c1dcc6,2e44071a),
+S(d0e325cf,775d47a0,532b46f8,4ec41698,82aba5fe,83c572a1,1bb18b9c,84edac13,2ceef205,c424441a,fee6879a,a577e1ea,423514ff,d95bc282,6e27b5dc,72f6ddc6),
+S(27700ed2,bcdf8ba3,f5ee842,945d9473,9ead9ca3,7741f31,1fad3503,e052b8ba,69c780cb,d6f2c1f2,5104dc40,cdf07ec4,ee76478e,98732995,ca85b5d8,f070c8df),
+S(205bfccd,37349c79,5077f5b1,16e63990,8703cb74,f2835302,44bbdcfc,fac24a98,edf25093,8cd87a81,b6f3da85,9129b399,a1971850,86bd63a9,1c370165,a22642a5),
+S(a5f79343,8b402d23,6e9bc997,cd08557c,7f83a343,32528a19,c506e5ea,8045bded,9679de58,13c2c74,cd82315b,23b6819f,4981c6ef,f1a2ee00,af5efa4f,807f2b3b),
+S(aa7da8ed,a97ac1e4,d2b2abe4,c8f727a2,5643c5ba,414ecf72,70a7bd65,612b1a53,83736a4,de5bae56,8d55de7d,6e2d4d6,eb5d9965,f08e08d6,dd6419e2,dc8d4057),
+S(ee53a4e,1eefa289,af562927,9d58f02d,529663d0,8a290297,d7ea92c3,64f5d41c,aa0fbd01,727c227e,662fa63d,3d6a834,476e00e5,a96cdc97,d78c21f0,f3b2a83d),
+S(8fc52dea,bd8b3e4c,fc6a2490,176b74f3,cfc55118,2d5134f7,1364a8c7,b083fdc4,1a8b2a23,d9119901,7e1de607,6ace873f,32bbb342,e93a9f82,ab1c3a29,18d603f5),
+S(e0f5e5ca,6395d3d2,390eca9b,4bf50320,4c1062c6,82214c36,b1b0587c,cc0912c3,4eb1d022,b4971d9b,74244e8a,5565e021,b933b2f7,e8ea60d,fc259511,a7ee436f),
+S(fd31a893,17476bc5,e278bac3,99eaaf6,1716586a,38410172,48170f7e,4d7821fe,190815b5,a2affc9b,1cb91237,783959ac,2058e75f,16cc2e7c,a825ab2f,8af9ba01),
+S(1533bab4,eace4f70,74067a55,593498e5,59fa78ba,b74131bb,a2a97412,4e855be7,a04ff3b9,c6209ba3,69b19863,5cf8b4da,9b6a5a04,f90e29ec,9061a32d,f3ce6361),
+S(8d549288,93390895,f1310e4d,a8b8ffd0,d9f8226a,b414180b,bb280370,93aa90df,fdafa930,f892b478,c7e6cbae,3f943615,ff08c2e5,64ff61c8,dcf19ddd,5c458081),
+S(1b17a4c1,736fc761,f3091367,9ff22ae6,2ce76a6d,716e9b1b,c6cf28c7,cca59a03,9435ebc9,edb1a948,bc3493e3,e7434b81,cb671439,365843d8,819b4eb,786a191f),
+S(3500c8cb,e37f659e,48e3b619,7007f250,9d964708,14c06977,a9861a89,eec11b52,8d5de084,b45912af,3ab8a8b1,47304a2c,45b839a6,41713563,f11dae45,2e5ed94e),
+S(42def4ea,50df55dc,cdba6c04,ac2855d0,d706ef40,6ad56ded,50d49aac,3b41c049,9e354094,29b46cec,329d906c,9f9ae965,ac3adfac,251370f5,60b91550,4a7e114c),
+S(b83c1c07,2087e92,11fc3302,fafb5be7,8fd4853f,9f8aecb9,5af83278,d488600,e51c2222,910c6d19,3baa56a3,63e330c6,390dcee2,c33ad00d,771fde6d,3bcdf973),
+S(beb27e28,c59f5b87,d19b0274,51a51e58,f0d10402,e7343efc,d302437f,f9ea2004,ac188f43,c0d6b91,4525f6b3,5897d7e1,7a0543c2,3ccd8001,509f50d8,a95768de),
+S(9408e5fc,877c5635,5a3339bd,3b9f7a8e,22a361b9,ee5e2f1a,a2b47eb4,cd665328,c51663b2,f9ad7dd9,6b120c25,2eb8493d,d68be9f4,ed4b688c,f5d2bde3,618658a2),
+S(a4d0c5e2,9cf83c46,5a567288,e6c0573d,c7766450,d88ced27,cb036db,47ecc96f,ad00c513,63a3d265,1318ed9e,352be903,30febde9,7827d8ff,1b5b5bd3,281c0c38),
+S(d38d0ec0,4d3819c9,665b42f6,24089402,e923a8f5,6e7567aa,bc12e5fe,c248722f,17e171c,5c6bbc7d,dd7caddb,652dfee8,720c319f,dad6b117,56596bd8,b554397a),
+S(4fa66f5a,7c294bc2,a0fb7951,7e6310f3,217c2cc9,c712f6ad,c5042610,c29b7a26,8b79a582,b3d9acb5,5653642e,8b8c6f18,f17e0541,179c4d62,8a2976aa,3c760d1),
+S(ec9def33,2bcc66f0,db0e6b3f,684fddc3,ff1a7ace,80c2adc8,82e4e5df,5ce77861,9ae3da13,563aface,d4988a5a,5b3a95b0,4b72be95,dd8ec898,f46fcb29,f43cae94),
+S(90422949,23fc0bb2,3263ca1d,768919a9,846e8eed,4b595e56,2d5103b9,5a479795,7d8a7b46,e557e1c2,c621d49f,b8f382c3,1feccfbf,5cb8c755,1f02309e,bc5881d4),
+S(9c926be9,68275386,95549bf,2cae2278,56410e3d,1e481cad,995c687b,e44bd1b1,56208afb,875c94cc,bcbb068f,f8ef6fe6,9615f1db,21c2b43b,59c8e80f,db5670e9),
+S(8d7f3cd7,2a6912ed,f0fe9343,211cb3d4,20229f19,3e956ed6,9c4a45bf,c7cb84a7,a45a7fb5,d4e9c531,4defec11,ce95e054,1ef0575f,b6b7f299,72bbb008,c9c3c3c0),
+S(a95eb316,bc91485d,9a220af0,a201378a,d0319bb3,473a0db6,e919b3b8,ff181952,41664555,3aea43ef,d7819025,acad34ec,6692f9b8,bf6a86a9,7de32f18,46de13cc),
+S(8ffa8414,1e806ac3,df613a68,a8395111,93569368,6e2b11ef,a1d53493,34e8da55,5dc00c59,12cedd0d,4457e779,e82ba2ee,669f7fa5,75c42e1b,abc1aa7c,7cb1bb1d),
+S(2f1645b9,7b58e33e,3dbaca4e,b4ee6fde,2245c,2c9bf124,46e262b3,434641fa,d3d0a603,6ded3010,319324f,34ae1e58,a6ac0b6b,9ea15b7c,3052b574,f0b2823d),
+S(95232f86,d2d1482f,a6656256,3751c2a5,16e1a8a1,66988471,f6e0aa69,f1ecea2f,7f54837c,4633f938,c0ff4fba,e59b6e4d,1a7b336,83a1ec1e,fe1ece3b,a131662e),
+S(676d2a29,50e66454,97e678da,68a5bb2b,126a8eeb,874fa8aa,ee3738a,cb7b3cc9,23fb14fb,674ca1bd,8ccb8248,48334f6d,4ba47d56,c7969cf1,fa3ab1d,78a22a2f),
+S(91df7ef4,3ba5bf7a,11d8418,e553c5b6,d2031b89,c644d08d,88f1cec5,9d4007e8,e7b19092,f45b6d,7742d4e9,37d80d32,63ba2945,1fee1259,a13b5b1e,42072f7b),
+S(1b64a5c3,e14d8fed,ac3c5eba,e6848e10,6c9db663,b18d48f2,b948be47,e8dc3b4f,55caac6b,18f294a5,f3dc9f44,ebb276f2,fbbb506c,1a28b0de,a55ad2d3,ac5eb8c7),
+S(122f6415,3a73b8c1,f1c935a8,e99590ed,16ed9660,66816cb3,57049803,c7d7420b,f5bbe828,9693d573,7016fd9e,59cabef7,5eb7fae6,ec9614c5,3c47736a,f3276855),
+S(745ed438,63d669e4,397bf391,14af880,f87334cd,62897aea,634b5c7e,cc6a074a,c5cb92e5,61812f7b,65930310,88b45373,b864b51c,18326532,b2eca5ac,8608f155),
+S(4724facb,e60d62dc,da536967,a4650a19,1e582045,ea209834,f1989d0c,db8baad5,ad70a8b,ec1372b7,5e3aba6f,8c031d5b,ba540395,b610fbbd,7d5b6ad7,4e32a3b7),
+S(a31bdf87,40d7a1c4,88f23ae5,9b54c976,56887201,6c307531,51ed5062,dd7613a8,e77b2633,af3e9b42,a2a05b45,a0f5c9ec,28f72387,2cb5bacb,ee5a8360,2aa282a5),
+S(990e8453,81efaed1,8c3fda39,7d4ba832,d509851b,8503891c,c0ea0ae3,4f5f1f7a,339aef51,e4d4ff8e,49955166,4408c312,b943df2f,fa62becf,51cac7b7,eda7d8a4),
+S(bfcc3e62,cfc9808f,bdceaa55,f75331b6,c9b1528d,455c33fc,9690d84a,d89f68f1,7b07149b,cf648a16,b3be662a,d203837d,fe5a2357,1154e65a,78841ae7,a906a7c1),
+S(284b543b,5ad3aa4e,5a4ab274,9acf59d0,4045bbdc,1ad204af,3a7e841b,330c7ac8,43d50b60,d23281ff,1ce15241,80c05e53,e5fb5bc4,a4e0ead9,19a2add5,f55b10d2),
+S(e4c147cf,beae087f,5c9aa83b,31514ffc,5734feba,cc743203,7a7a9931,4101bc7c,72ba3a91,3a2fa186,484bf856,ea93a725,5f6e3b1f,d5bb86e2,58e45e43,52073787),
+S(54cbe831,a201fa88,a3e7ca1,aa409449,509269a9,1b229892,9e9f9dba,a7e8a8c7,60705c7d,ff74d8eb,1f85b9d1,d9efcc58,fe463e04,b19f56dc,a724dfbb,630661c8),
+S(c8dc9e83,d4e4f250,5e8c16f0,a5e8de3d,1ea3711b,8a927a63,baa9bb33,6ff302c0,62211dac,15b97856,2dd71543,b63edca2,4868ef5c,6bc7e547,9fe81da2,261f6150),
+S(4bdbd22d,5cb98e31,ddcd1e76,fb69ae02,1915be35,5fa326e8,506c38d7,3c93dd8b,9401c173,3bdd7728,fae5ddce,d708119f,b0cfdd41,2b3fe599,e75b5a8b,b84fbc55),
+S(ce988332,84a3fbb4,31b716cb,3b6530ba,bb41785b,c7f0564a,8691289d,9d35e689,2d6d9b1a,7711c5a3,2ded418f,9b52c134,e822589a,789c2b33,648324be,508f4f14),
+S(2815b2a6,ab505e2d,ad759c85,6aebc3e6,133826c6,d3939a6e,8795308,5adb6bcf,2e6764f1,f90c7ce,a03c5d8,a1465d26,fb2cd430,edf9f4ec,13ea71e0,51558b7d),
+S(65380aca,14b90a7f,e6c6452c,c3d811ee,88128fcf,fa009d7c,1afb3195,8c3bd1cc,a73d691b,cde27cfb,dfe4180,e6a8d2d8,62615b1d,59ad3487,dc914045,39549ee6),
+S(7bf3a1ed,4e7e876a,1404493b,7ba01911,b5707f09,f18694f0,fdc35e9c,27f1b89f,b6dfdc2e,e827967d,1d1218d8,975cea61,9a740521,a0e0b702,7df1ffff,dfe45572),
+S(5f635ad5,952b3f2b,e341479d,239f4ed8,8c33ed63,87f62c4,40a02665,4e469aa1,a49b5262,32361560,c2105db9,3b500fa5,bfe3ef99,7efb826d,90781ad0,143fc0c1),
+S(4a212245,8bc099fa,7792d0bc,a3d1d163,58fc391a,82dc7f47,2a457268,1be9ff8b,fbeb9575,6649a3af,923b28d6,788c8662,9b488166,23349b93,755d04ff,bdbccd97),
+S(1b56d138,e71aa703,e2566a6a,6f0a29fc,e7a7b999,2c454248,5ab29c6c,eafc86d8,db7b41e9,217fd201,4f4e6ad7,818dfcce,31823069,d1e87ab,85bb5ccc,c870d476),
+S(cf9dee0,3d9c1724,24ebc37a,1da32a19,bec78003,29def8e1,b7c44b5b,59e880b,20ce898c,1b9dbef4,f47c5b6f,be39a8cb,91bd244,b0df0bcf,94c01616,24ae24c3),
+S(89458ec9,1bcac5d6,ba51b7dd,d32119c,eee5f535,5e368e22,3a35b9ed,b8bce2fc,33ebef56,190a0820,9e508e1f,6dd57a37,141cc7b7,ae8a3583,41da1ae7,24b40f0e),
+S(bc1637f8,39b45eb7,66e7ede4,af989ce2,20ec795e,d8454ead,6053a392,18c6cf13,e64e7128,240d9c9b,4018c56a,bd71e9ef,30d7cd1,8a036ff6,13e4dc52,13e88b71),
+S(212c6c8c,3e2d406d,4fab7bf1,4f7dee3b,a7820821,ecee711c,f63fa0cd,49341157,2c2caa21,7ae6176f,242ac6a,c951b628,5daa7dc8,ef35e996,12b7df6a,b7966006),
+S(8ec5f69a,a77e4faa,a70d129b,685f996e,36d4591a,9f03a047,d853f81c,483a371a,69eb18df,9bc54f0,804f937e,4c88eeb3,a1e089fc,6fde0ddf,e37e2de7,892b8b1c),
+S(d77dfe3e,6370e677,bc0442c4,4d71e7fb,fcf1b7a0,5a39831f,6c02daea,70eef37c,e5582098,dcc957cb,6308e51a,817c2764,1c34a3ae,4a1e931c,9e741c29,241df4a3),
+S(95a98fb8,178ab7b0,45931f72,f9d3411c,3d6c9bfc,47b9db77,11dba796,6600d1f4,789034c9,fa371e65,e47e936d,d5be1c62,d660c12f,d7a0164d,1507b4b1,4d5a5d58),
+S(dfb9170,5c2eda68,ebfe7b2a,f2c76eb0,c65fe431,d3a893d2,b202b004,bf532063,2842d35d,73985521,4dbf015a,a64fc5d4,5c763a0c,81be6302,ab16eb45,64e1c020),
+S(ae011375,773a319c,12a49e8a,24f4a84a,70817591,d739c604,e76314ee,2466136a,fba7f0ee,758357ed,f296ec2b,b4d0f9e,6c38e29e,95daa163,f75c82ac,48988ba1),
+S(e906d6fc,6930a06d,846d4804,f2affda5,955c0718,e920aa47,724a4903,d644d4d,abcddd9,fa93df1a,6c4aff95,a7ff30e0,8768bc94,5baff83f,1278dcc6,fb797ac),
+S(39d6a839,e4ec9f30,7a4b150c,9c20f918,5626c93a,1a077cf1,b4259d9b,cac3eb5,2b0173df,699d9213,989b16bf,a17b0996,18eac71,b6f21611,e20cad8c,f9609c2a),
+S(11541976,d8c7da9d,b9864344,a2a3ecea,499f538b,224e74c1,546dbb82,a343c308,692038e0,d63da9a8,c4c7b9b1,fc3384d7,d03e2dd9,156f90d7,68d31f64,eb46231b),
+S(b8edf6b7,8b0ec547,9ee981dd,e7d8052f,7d613d32,a9677bf4,623c6695,515af54e,4e391006,443f4578,7951cf57,d47100de,7982d0df,cedf7c3,36193ed7,a7f986b),
+S(dd4f1c04,c7f106f6,2d8f49b3,f96b919e,774cec1d,e470e670,1f72bbd3,2236d3f0,bb46966b,fa105ade,17aba7ee,a2c11e02,ace8524,1e3da1c2,4d30ad99,dc695175),
+S(794d4cc7,aee8f9da,ac4ddc7a,bb4278ea,d8de11cc,c4dad583,45c3edb5,b9c7b2b4,d0024919,35a5f7ac,6ec9a6f6,85aa16e7,61329642,c002bb59,a9a9e135,63ef3688),
+S(90dec6c9,97e0906a,fe63cf90,2b6a5a6b,ead0653a,6c9a8337,154eca0a,7e1fda8,3511f4a,49540228,3956e249,e9caa7c6,222c79cf,d91fcad5,c35b3737,931308bf),
+S(dbe539ca,27d132f2,e602df51,6582c3a,9bda3a82,ce3b52d6,10f4bc45,17b52119,9f52a5dc,417ffa9d,2ccdf666,63ff60,8412460b,15adde93,a11ceb9d,4f859f37),
+S(a3fb9a06,7f8a9364,87bd6b2f,eea9e072,6902c046,5bd3a9fb,5afb9cf2,8af34028,b3de3a34,76028531,192d614f,c720e0ee,e7765fa0,14dfe4a0,ce0ffb9,b32f123b),
+S(47c00044,c66a8c7f,f6242613,17cc9950,438544f7,31398212,bfdbbfae,d2e34ed4,215f4709,e2bfec21,6990ddd4,d37a0c46,b2cb44f9,26d3523c,ea0a8b2d,7f949015),
+S(b59b3f1c,cbb0cbdc,4e430788,f934f090,aa0e1047,24d8d1e8,b7329e4e,c1d6092a,f96cdb74,a7ece8e3,a9f631cf,7a740a2e,fc9c9020,8ee0a91f,42168990,d9a3cee0),
+S(c4efffa5,92a27b03,a05686e5,8ce4cbe,d4768e15,64d30450,655b6d0f,5dc5911f,7f095e1a,9108c3fa,a1b1043a,ce870f98,264916b6,f8643370,4d36da78,deb9d826),
+S(df9f6d4f,e169d748,5c09f5ad,a2eb46b,be5bb378,919291d9,e3f60ac3,2644b6cc,7566af91,e7c37fdd,72b68418,e6ed1929,c17517bb,bc8666f0,d5e28eff,4d50ba54),
+S(bf3d3814,11130a19,23ae0b6d,f333c61,8ea598b4,1277a568,85582688,6bf8deb9,861edd8d,276fe3c4,cb7496d2,9d313697,77df75a,d8c40a85,19ea1415,9ebf533d),
+S(8b822d8f,640dbd04,d2a35aad,e4309992,3133fb0,c97073d3,b23f767d,f3468247,71db728e,40b1eb39,7cb69211,1ad24e63,79727a77,bb028db0,51ef9b67,f31d036f),
+S(4a0e24e8,6d588f32,7d41addd,c4659b36,d6406a28,91ace143,d24d98cc,cfea28b6,3c79f61e,71c3c9db,11c97734,da9d9d29,7b141060,589c029f,6eb888cf,7cb6f04),
+S(3df98e9e,c1bfd244,86c6e95d,8ab19c93,c89751d7,d408ae98,44c90c2f,8bee9685,fb6bd949,afc7c8d0,a16e2c45,4869cc4e,899e6b6d,701eee28,7434439,fc61074e),
+S(1196aba0,2bed29e5,2ab28d7b,74301095,ca68fd6b,1e2d0893,1e3145fd,3dd1047b,d8dfd4a4,781ef486,8513bfae,d0b0ce98,5d80f6a4,556da69c,aea24c1c,7e85b27f),
+S(5746e37f,709a62f,af3a720f,2c7d5ca6,5ec8a3fd,3e223b67,b839dea,60cc1505,eec14b2e,76e888a7,538f0fe1,32268576,4f91d70a,19d9e885,168af68d,5b9678b2),
+S(3c807748,606480e0,9266fd22,69b9c7aa,9a2f87e9,58d3264e,77cf2140,e0f2dcef,48b70aa7,6f86e7a5,c02c1997,fa029d78,94398324,82d3396d,2283dac7,dbe23c00),
+S(52885fb1,f40dad6b,7c0f7f0e,3e9e230f,b45688f1,a9f3adbe,710bbff6,d56885b0,372ba4ff,192bc456,56240432,db828847,98cc846,e810c99a,8e33476e,1a674663),
+S(60fe0096,4fb56044,c506b551,3504a800,7c2534ff,52f53f54,31a479fb,166616da,75ae6371,b05b93a2,499563d9,887f69ee,f9532a1c,6695e6de,966f0b73,90100ee8),
+S(55439653,f8f659fa,9f2ad854,2b1beee6,6cdf34e,d3e464e8,45ca34ac,70d88434,c7883ce8,984db19f,a1866e82,f7cb0623,e6de0446,a8ad5fa5,3dcc775e,d2a9f871),
+S(18ea4c5d,24fd7a5e,9463b109,20760dc7,fb4ae56f,db00f0d1,805a9e19,c02f8687,3e19b983,93a440ee,99fb1a25,d7283f10,cdcf3b7b,8b063ee,5eb05c56,2edc9251),
+S(8bfd7102,9c7a5747,8eaaa0de,1417ebcd,16731b31,935b7190,d536089d,56dece82,b8fdf97b,1a4d9d35,f32504a7,2a03be23,e71fa005,48cbe33b,8a85060a,21daaf5f),
+S(e4fcbc12,22987f5a,f97c0ae9,be88dcf0,23ee2366,4a2f3b98,d19f3687,b82d89a0,7539ffb,33cfabf8,582ec993,8c034688,f8aea8c,7fb6f73,ae09ce9a,e63b9da6),
+S(bb20ed68,c9a83a86,99a42cf3,9a51af62,534da50,36bd8cf2,5ef7f7ff,1f08ef85,48d64269,af2c39dd,d6c2d703,fd7832d7,c409d76f,8a8ac99b,d977e7ba,760e7428),
+S(2d852cde,fe404dd0,835c781a,11a23db,bce9b015,637c4a82,e0ae009b,aa2ee8a4,d69c9056,66184051,f433e99,ce03c3fb,97107229,d509cb69,59675300,8951f4f5),
+S(37f5037,beda50f6,c485b78c,ae4843d2,cbbc50bd,c3588c34,54a09dd4,4b5504d2,d2ec7671,9eb38781,d2954fab,34f475c2,2c297238,70bf7ae1,1124231,2315d8d8),
+S(7a5fc0f1,5747caef,61882134,40cafb3e,e8cd6c25,9cdefac3,60c4a9d3,6c96397f,bdba60e9,bb96fbfc,e1fdc22f,d4282913,7c717a1d,f907d441,94fbe55c,bdcc7d73),
+S(d50843a7,4602c5ee,298e9ea1,6ecc75de,c0bc2b0d,150546e1,4605ef8e,c0d33eb6,f95baa7,aca33535,b559aad8,ebb18df4,eec43134,6ccbdc72,a3551b53,9797b570),
+S(e5141e1b,a2a9e653,5baa4cc3,71f143e4,c4e3be94,4b81ad88,4a1cbd15,1052ae67,afd5328a,75f3361d,ce8b7e84,1e091835,2ef1f4b1,986dcafd,40ac6aa1,12a65838),
+S(892a2bfa,f1869c35,34b50649,f4e3bca4,2fb6845b,f831471b,4b6c80c4,650ab82c,ef6c3f52,6deeba94,563afd1,5b9246c9,b397ac2d,1ac38a79,c7f24dc,1706a402),
+S(7a8b233b,94e81662,1ff28218,c60e56b8,15e7f48,9bf401c0,182f05cd,57e1aca1,de6fd62d,713590b,f0e81723,a25540ee,3a98b68,68d4bfa3,d0b64b60,1bd02202),
+S(66c7766,ec95259b,ca729173,a721d3c5,a1fef897,6ea25f9e,4c5ef3bf,93a659f1,23d66628,1cdd28e1,18cea2bd,bb8bd13e,af6fe7eb,d282e5b6,858656b2,31a8463f),
+S(14c8b905,9c41ba45,7c8ef52,c78bbc43,6a9dbe69,4e8ca807,1b538e0c,eff68d64,e4c77c72,5c9c5cb8,2cb26618,7fd77fcc,cff42520,5428c0b,b7a5145c,fef3ea12),
+S(ef36e454,185b6147,9e0c57e5,92ac7b06,d59a4d21,6d0f4794,15fa728a,181e4024,a2b298d0,abdf1d93,7e6a15c9,4a77a72d,4cbab1b7,5b27ff46,c217d1de,b47bb006),
+S(6848b754,920b0919,b96c7c54,5329951,ac7f71,7cdfcd13,9923d4e9,d4fc3ab9,a9e4722a,59c84597,a6f9eb15,50230182,af76f6e,eb8f9b80,c4b14d7,2f07623),
+S(a8f4f96f,c417bf04,15116fc3,d223494e,4988e32,855e7cb3,c52f3c77,382227ef,3f5ce509,f0aa36ea,c23603e9,b08e08db,4a9df67a,bd1735ea,1f3cad02,8f63bb8b),
+S(372bce7,9b26b7d6,6026375a,1d8f7858,4770d17f,e23a53f4,3d84b577,4e1d540f,ea6ea296,59226bfe,cca23e38,f341dab4,a3750d10,c9e9d662,bdf90b95,c68ff345),
+S(ede230c,fa48b0b8,affa246c,af849946,3c89b87b,148259a6,bb319895,c5d1decb,76eee3c6,85fbb3c0,ed86e7ec,9bea6189,56ae98e4,d1c7a17,e9f7d796,eb8b1540),
+S(1fe48c38,964fbf0,438f3b,95d15871,d8037e8,a80bcef8,9cf19a54,370457cb,33c60da0,ffed0f,392758f3,76720d71,42a66034,ecfb83ce,ecb05bc3,44fa9fcf),
+S(3ef6a0ce,d6b74a75,7da5e17e,cc0b215d,9cacd353,44c90c07,cb7b86e5,2066d500,a361d55e,82a75506,ddea417e,5f3ac744,9642305b,92a9bd18,b8fd2fc9,b3e0bf77),
+S(165c9a99,4f26f8ac,528caadf,57d77d82,b74d3f79,1d2f18a4,e5947aba,7e25ff56,3016f139,a0e0c5f5,abdc57c0,86489330,f3b83dea,46396fb9,d1052753,785da130),
+S(e07ff9ac,650d90bf,745bb6e0,13ae6587,e96feb6c,e1c003b,c0c44a6,6ec415e0,8bccd0e8,77dec06,e4aee5d1,76313cfe,de90e6a2,8e98e618,70e31b8d,8da3540b),
+S(d1133e3,62cb9ea8,4d4da51e,763d1b23,ee018984,cbb2302f,c5789278,e60cd0fb,b66e8a8c,3f41461b,8d1358c2,5761456c,b5c086eb,b67a0ba2,b02166ac,9b0b2d65),
+S(fe40c8f0,41c5f50f,789b4c2,275892a4,547da456,ed1a7558,8529ecee,6810fba6,a27031bd,d4290077,ad0e50c7,787a222c,3c89b27b,13159117,eea61c29,f126831d),
+S(83b7184c,2b76a015,b80c1269,a78272d4,374a00d,340500ea,ea5df081,18ab986b,41ca7c04,774653c3,87782499,ae88e219,a16e53f8,1a87b1f8,768933ca,8315df89),
+S(7c230724,b72fe375,bac73f94,5df4e542,c6789c1d,ebaec636,730f07a3,6c3a0648,a173576e,8c3f56ba,543fdbbd,c650d004,3fcda4b4,4684a6cf,666b7423,9cee0152),
+S(652207a8,aeb1c301,932db5d3,854efde6,da5c9912,ca6833a9,79499ba,8549dc7d,14ff67f7,d0d82988,b0b947a9,b8ff8914,8bd0727b,f72e9ba6,18028c42,792aa3c9),
+S(13422e69,12a1b8d6,db99e17b,7606f3e3,b6d5cd11,5f47d50d,587e131d,477f983a,f72d5395,a5b1badd,88074638,a079797c,134d7415,a7d4be7f,23b12b43,f1f2b1b2),
+S(3605aa35,29438d1,90c78de1,7223c468,ef36b28f,bf7fa6a9,d809b113,7e251481,9de174d6,43288a16,3dbaa04d,f4cd8214,f3e68c8b,13b71ff3,215447f5,2522b8ed),
+S(fabe9cb9,d1e80ace,f13e49c0,d9cf2e95,12091e07,a9b0ee68,144d92aa,8a3f5f7b,7c05d1d2,7144b868,33c1dddc,8374d4e4,16df20d9,e7111415,8203ffe3,8f662823),
+S(df84793b,e4c7a574,9c5cdb3,10ed4e96,c05298e3,d7c7187d,93018dce,ac6d75e2,62d04b5c,1cb578c3,8784db96,8fb8786d,59c92183,c226df41,d164fffa,c076fe2d),
+S(90585ca3,730b76,78a731ad,ac186574,911212ab,58d826d9,95499433,5cffbdac,85bcac15,d41303c7,bb2b2f87,eb3d5101,eb35818,815711f4,fe72d243,50f5f6e6),
+S(89e17bb8,56178598,74821db2,28956cd3,8e8cc6ef,568ff68,5d5c2e22,5cadd959,e759f802,faf4feb7,4ddc888f,38b8faa,2661c56a,367da1c0,781ceeb1,7b30e37e),
+S(1d43bd3,df9f1f25,c061538b,6d4fa0f,dc6b3be1,c7443616,51420d09,7aa81e9,ddc8f865,d85daeee,6faedd8c,172568fd,d290dc12,fd41925f,868fa03,ae8176c1),
+S(6899bf86,10d6f8f4,f2b50e47,1eb5bf9,77924580,3b3a8636,b161879d,35061e5,c4c472ec,37bf52b0,3de23bcf,188dafa1,5aec0c9b,4f023e9,b54a8d9b,2940a66f),
+S(b42ff8f6,6ea45365,485cf5af,ad243cf2,f6d63e0e,d4a0386e,475dfc99,70b9ab65,46d2ea18,495a980e,db65262f,efec578c,ed829315,15ac74bc,83d8d385,d739b2ae),
+S(cc1d2622,9e9cacc7,f84bb974,e06e9dd6,62fa261a,a90e271c,332c289,1511dbd9,206e7e03,b8c33605,ed870f52,2e31aeb8,1b9f8a70,86732a49,6761f00a,bf0396b8),
+S(21f031ea,16cd5c2,3c5a809,3a93656e,950feed9,64c8e2,debc0a98,64c3b30a,2d038c76,f07d43e7,f70d289a,32115679,232bb02d,7f237f20,82f085a4,2031f61d),
+S(8bd83272,4e955741,3a6f5fe2,b5d0cd06,ca80a3f6,eb8f6449,516274f8,f98c689,71559502,b2442397,62319105,3b440a7f,fcff2a76,bb4e9552,37dacf33,b26d19e),
+S(74c61963,edd7e01a,5ecbc8a9,76a1f24a,fad2b1db,1e632edd,6ebbe3c5,49d2af07,9247fefa,fd6ae328,f3cb918f,3b6ec823,4c0320c,5a317a54,19fa17d1,bcaf9f99),
+S(1d7e54a8,597a36fa,4a32a46f,b40fbafa,dfa50c42,c4dc2228,b30c53a4,17b38f24,cce12594,2f1fea05,1cee6589,c26ef75d,f88d7242,bf3460cb,7bac2566,498e8ce5),
+S(c788085a,893e3e58,bdad60f5,a177601d,5af89805,47bb9e1,2bdd2294,a850bdc4,44292afc,2ffbfcb0,5ac838b1,224bfa98,fa09f219,b81611d2,d83c9239,4165b415),
+S(d87e2357,7984ef30,a3243b79,f0a53f84,93b38e4d,6b182c47,d1e6f48e,3d38db8b,b42950a9,16c616aa,1fbecbdb,70868cf,28106872,33b3b549,388c2255,a157a50f),
+S(5d3ead44,592168fe,d898a5e0,bc7c0aa,ef926d4c,6f06698a,e5274aa9,90307ef0,ccc1e0ba,51eded41,714e8039,4a626a20,1ad5b751,5e6d8ad6,25895be5,8289f1f9),
+S(ac063972,75d60207,fdb67802,5d86424d,d47b7fb4,8d20402f,bc683c2,b7e9e63a,b02c5027,e2488ee2,4c53365c,d9101fb9,5bcd0c45,85e25738,36156286,fcff1c89),
+S(815a5ad4,fd1e59c0,56bfeeeb,b50e5728,18a6412a,2eef8d42,7e27c871,e41fcca5,4f358e87,5c7b6e0f,ffaa3026,205c07b,4a438394,276ae929,e24ff4f0,307e956f),
+S(10902a4c,a24b6807,ba67d735,3fc9582b,ebfbe13f,fadf8146,e40016b1,40956db0,bbfdd872,793fa436,5263d277,f2ae1512,b5f349c7,270561b5,4c151824,6b430743),
+S(858aa1f0,dbae0cde,a7640775,44f99261,af16469c,602f31da,3345671b,93758d48,ff63509d,d56ff954,3cb112d,941fe16b,b5fef4bf,96b8923a,c0e3d3ce,6f0e4cad),
+S(1be90c71,7032671e,3cffce34,1a6c507,e5564576,ebdfae2f,bb28a20d,ccbbd6de,69edc8d2,20bec442,2cc47888,22eea780,3d4a01d6,1f8da9cd,4f8533f4,146c16cd),
+S(6149cd0c,162f1ae9,163751a6,e967422b,8a80816d,deaab38,e73237c0,cca923f0,9dce938f,fd20eaf,b518752a,9cafb862,8416e3e3,8ba723fa,12442844,1bc7a477),
+S(20696c11,f43db49b,d891505d,cffd36a8,a0fd20ff,1c56896c,51591ff1,421680bd,397ba456,6566244b,a186055,bbbabac1,620d1b9f,9d2d06c4,44069ba2,22041d79),
+S(caefe4b7,91049900,5f6247dc,f1e49aed,22493a96,933ec702,c93f83b3,455fd6c8,6191fd17,4ff0887e,886086f8,c8f9cf8,5d3d3e03,30f436c5,50ca153f,cc1af003),
+S(849d894b,2720850b,bcc0bd08,678205e7,1ce2b041,40fd138f,e16709dd,f3c9981e,8909d10f,494af391,a3ae9000,7af2a292,8f066ff3,22199e64,e3416799,a25c43f3),
+S(d27b2fb6,e38544f9,eff19084,cc901d70,3356937e,292c1989,856bdce1,f6a22364,8c296bb4,a89bf08e,2ecd87b5,b49db335,b6e2faf1,b1b57146,3264993,77e56175),
+S(37e04b68,f476235a,728bbc12,e3572929,97243538,e37bc2a6,bdf6b7,e8ab4d63,ce346516,383c0573,9de7a2cd,c4b0c0ec,9c3f7bd5,c3e8c27,271cb9e6,7ebdba4d),
+S(b3c6c10c,5eefc0c8,832d9c99,183417fa,9351868e,42952b96,2d623305,9a1a3eea,d7ad6ba,968091d,fa8c68fc,49aff425,44f35d39,a75824dd,a79c5b1b,602ed3ca),
+S(5bf180e6,763045ba,1453a353,49711a67,9175a21f,f2b7b381,8c8e5d8d,4927f107,72ed6000,6cbe16df,48d037cf,237cdbb7,93705ff7,2bf38c73,e6a87f1c,46ed40e9),
+S(82e13ea2,3cbf23,ed3e2f47,922b08f5,9be10fe1,48de26e1,168b0784,45705ec4,288ae681,decf904c,d490b6a4,d5a3e5a,75bee593,ddfcce76,693ca57b,f39c1805),
+S(4ac56d72,b9a5587b,dbea0ca2,674d343b,15adada6,f30d7a3b,fa481f7f,69af9467,5db2d7a3,3d42f04f,c75ee27d,7a7fe9d6,3eadc5fc,ce770e3,78d09ff2,eb62d78e),
+S(bcddc00a,4fc9976b,6795da19,44f181cf,6bbfc775,cf4c0212,eb419580,82eb0e4c,30eed6ad,bbd149b7,49053931,65941084,470f0338,396a6c57,9fda211d,358a48b2),
+S(9331e909,bf2663b3,8ef46e21,2293e63e,c7c1559b,853c3095,cd749971,79f116db,8ccef168,4504893d,30418aa,343b3f9,3fb0db2d,895359ef,f1b78d6c,1f074fe4),
+S(12df2aa,c307209a,23b543e0,7e220557,3bbd8cb9,e341fdd4,6326ecae,916c329c,48d2da1b,dc2a251f,a861339c,7b92bea5,cfaaf0b2,3f4bf625,7493df8b,228fc8c4),
+S(987e316f,f09ad376,eddad996,98228fab,90573f6d,60f13772,e55429bc,e77a91c2,82484e05,45aa13ae,23007c0b,7d6e0d0a,7b8ee542,bc50ed28,55ffc819,aac4cccf),
+S(7be67dd0,e377aaa8,f13899d9,3ee2e9f1,623d5efa,ece91690,82c9dde9,ac7905a3,ba82932,93f21a43,23ff368a,86c8acb9,63328f81,5f003f5b,604082b2,4d4dc3e9),
+S(133110e3,5e53940e,928883e5,fe5150ab,303af955,7450d37f,20dff5db,c8e2030b,54ea08ae,730c8117,ff1abf61,e89fa960,2e434dc6,c43c6a35,3a45d535,69f7bf96),
+S(a000b820,53c27e06,3b6ac0d6,2cc0bf94,449ac467,800ebf8d,5e6bfe91,bab6cb36,af600aea,4261cc05,48e7e30d,f9ba50e3,e4ca8708,aa276bf2,ea7e384c,f3e3880c),
+S(df50b710,59dd653a,f1f2b8d8,f39e12fa,134f1020,4e794ba7,9a734a39,eceb2217,17b8416c,51c8d01e,7739645f,eb5344c6,2c5b05b8,d27aa83b,d02def84,c128c04d),
+S(b3b6ea83,cc9ee99,d7518cf7,94fcf12e,5f2d9845,b165330a,1e55c4a9,4a601b45,7e9aaee5,3dba428c,b042c0b8,87701d57,bec9635b,f54bfb64,13742d7f,3a7576fe),
+S(7c81a6e7,36ff8ba1,82e516eb,b47be4fc,98e926f,bde294de,e371f068,687953c0,9d8d9b8f,a5b608eb,46bb5fa9,e162ff4f,47e2a8f1,86f41847,1c2433b2,462aec03),
+S(e370435a,c9b0d2f,175786d8,6e2bfef4,ef7bdbab,3048fdc6,abab0fa6,ceee0cfa,586bc07b,a05088bc,ceafe00a,dcceb00a,4c1a3704,2f43f011,218ea8ca,7df4f04c),
+S(999bc950,1d0b31e8,5175b27,17055c41,e5711b91,fad9af7f,82018e4a,a8f092d5,592cb475,2cd85ed,23d10139,55118027,7f6b5065,9b374ec5,55cf8f08,bed57ccd),
+S(2241da6d,60fa77b2,f844f4e0,6972c230,1305d1d5,5d1a1453,16436693,232a622d,1b3ca0b0,8ddfe046,b916c1c3,7e7a29ad,9d235e6f,4f9aa72a,9676d62,e3770035),
+S(d4e6cce1,884a77e2,dcfb08ff,6e4717ff,ec85343b,fa2b3415,1e290c2b,e9560171,3064c1dc,9eb6fbff,baac5bcb,ba14ed43,523db1ef,8fbbeb38,3e57dc9d,945e539d),
+S(d2baeaff,eb5a040b,a7627374,ebf692ee,65316c6f,b30c03a7,7a6c7882,f98d0ef2,7f5b6e13,d91cd74e,6841c97e,32ad8e4a,3d8c572,1a206b30,e89c6f19,43313f2d),
+S(150db822,7f60d338,73602400,27e859b8,7e4cc5b7,749d8d16,6ec3ac03,cba95331,12938598,70c09913,a855559b,2544d3b3,3de7a12e,da4aeedb,72b44568,7f6ab9e9),
+S(bd607750,1e8d489c,aa24a424,8baa60,e0a86ef8,f9f6ed17,4537d826,c3e90fbe,9617baa4,c6ee1d2a,6231b3aa,5d145b30,6e0052ea,d1a0cbf5,1f74ce5d,7461b54),
+S(ba04c85e,7755ff09,97b5c7a6,552e79e7,455b85ce,3498236b,6452958a,d01e04b8,e82629e6,1513be7,719c2e52,ddb4e8e4,3530240f,d4e3f199,b1738596,9498321c),
+S(be1c6207,4ee93f45,6dd94b72,afdd295b,f751df9d,a77ebbe4,8e5de0a6,a6f9ba8a,3a1fdd34,72474e68,83130c08,b1e99e51,5c3ad11b,7c321b52,fce159a7,127599d9),
+S(21c4ee54,bf48268c,44996b18,aa38a92c,7553eac1,2f4bff57,e89fd389,c9ebb1d4,7a0cf9a6,c45cd57,d0a1aee,3010ed52,220194cb,ea43715e,a4252272,71064b6b),
+S(2ff1ff0a,14c965f4,9ee43f0d,64ecb94a,344d36d3,d90616d3,2b208024,4729d291,47d74f0e,8c9c7dd7,580ae2eb,3bf07a4f,320c80a1,13a5eb73,cfaaf7ca,e38e9803),
+S(6d5ba86e,be2f0de2,eee9d917,aa69bf71,9ee9e93c,1ce7cf74,a993435e,480b5b39,9c19c406,1d3fb92a,4dc26c8c,26bbbab8,5b4e9acd,950a7ec6,824aa915,c1f9cd66),
+S(49316bcf,122ac309,2ece7f07,c1449a7e,db2bab4c,29c7243c,41dff1d0,feea6aae,3fe2db4c,26ebc1df,66a03c16,deeb4f5b,4a3a32fb,2c2db184,7dd93738,a43e68b5),
+S(329b8fda,fed0ee52,b86a0963,54c2141f,c22734d9,fa8e25c1,4376d539,72f123f6,35365b1b,8ca97c37,1f3c0d34,599d114f,ee3b67c0,fa4973ca,b0aee621,5f07de1a),
+S(c74140b4,8c998c17,e7895174,b461c733,e687f71a,861d5687,9535f11e,31ecf62a,4a648bd1,5ce47fd7,b9a8382,7842281f,59a6e0ac,6dd049d5,c05748cb,ec607556),
+S(92f5177e,cddc78ba,37a947bf,c72d4bb4,531ea7fb,1e7c103,d312fc2f,a8e4cbc3,2d348b69,cdf37794,383739d,3af49d0f,7fd9b0b8,1b5b918,9d3cb49c,ecd25d0),
+S(31ca4598,daec4eef,975b3a18,b14420fa,48634ed9,ceb31b64,faea0fb5,32673490,574e1a82,b029e852,6e12a242,a21179e3,d7835a62,384da226,c7b9c879,43ef506b),
+S(f7a66fa1,103f1fde,1392d998,fd5d8c2d,9d4804c2,999df8a0,c3d6780,ea915b36,94b115b6,897e00bb,166d01e6,e0b0e3dd,7399e7a1,98985a00,f06312bf,e31ce81d),
+S(39cbdcb5,8ea994fe,f678e688,c01fc74,a643b907,b7d00c59,98d609c2,898274d2,5c256316,3717961f,3dcf176,73183034,9d881d7f,11544246,1a42a9b2,8b524e8f),
+S(56fe8710,6d493892,4750fedf,8cfd9597,766699b3,ef9efaf1,26fb0441,d01becff,6b16649,80e3bec2,9ec107a3,f02a0831,5ff24460,b0b0e29f,208610c4,a3ba722),
+S(e9ed0bf2,81770721,b3132049,e48ec3c8,9b33e62d,6eb3f1cc,b50ce7c1,6cce6741,ed06f8a7,d93913d0,fbdbd2f3,ff5448c8,f004f690,340b84bf,ded66508,19c356ea),
+S(a3e250a,e5f568f1,fdb0d60a,8856aabc,a3d35a9c,4f23c07f,587646cb,41b9d29,3d2c6652,31f48e61,a6c4b571,6ba8a07e,5c8374d9,2d0ca6f4,970aef59,3f2a78f6),
+S(bc08e135,216208eb,8bed1164,3deefd2b,a89959e1,20d3aefb,4f02976c,ebea4fd1,bd59151a,ecf185d,a0da79e3,817c9b67,605b46e6,41b733eb,a70180e0,47bbc4ae),
+S(1008a624,ad6badc,60b3457e,702ab324,6ccd3f90,aa64d741,69539116,64ce56f1,de2d4c03,69f0faa3,5e039afc,1a650137,cb299fdf,8840bdc5,219bc9f7,b94c7219),
+S(a298705b,a7c0a8a4,7b68b674,c63d9d7a,fac19b56,eba7f866,59cace5d,fdbb4b05,7b20b074,33988789,da3b41d9,5a9f0c71,f2965ff0,16714652,926f9e32,287f703e),
+S(325e58ea,980fea75,a79f4254,60afb0cb,8f68bed0,71857e89,e4e7a88e,34b5cfcd,7034e0d4,ca1844fc,47d4c813,736bcfbd,7cf0c693,cbdc1ba7,b0d29019,44212c16),
+S(22d51a7e,22bc439f,9179932a,254bcdb8,eb5bd7b1,515645e0,2340cb6e,8b94cffe,1da471e6,1c8ef75b,10525d6,132a14af,9096a429,e277022a,d667e204,91a786ff),
+S(490cd510,a010e368,b3e4f0e4,266bd0c9,c04e3434,6d039f0,764f5108,aa31d6f2,2ee7815f,9ec437f9,3dc69f84,b0c91231,326c0159,4cc492f0,1f9b8d88,7fc022bf),
+S(f8896cfb,f2d14e5d,ab1f3c2c,1e669cae,433a8a9e,42c7e68b,206a0d88,b4aee3ec,a84aa805,677a7c6,12e7930f,b91293ec,afee667d,2b033019,ffae8d8c,bb7281da),
+S(9be847b8,3ff9d27,e74db522,cbad0ceb,3feffe52,1dd8e7f,999e515e,253ab848,c2646e15,b0865eab,c459a0c0,233bb52b,e202b681,c060f06b,ebb3a39b,69cc19bf),
+S(1c6e7cc3,f35b404d,61d0454f,1a9b5c58,40b96207,95b613f0,a896d781,9e29271f,352cb00b,5d556077,c9fc75eb,aa1c28db,dad01cdf,dd5e75fe,ddd43ffa,8042385c),
+S(56c10f,e369938f,13863e7b,5135ffc2,6da9eebc,5cfd6eb0,7f7d1f67,fa94132,8bdc142a,f7ae1906,c63e3de9,5bbb63cd,650ed4ac,b9a2c321,e525b512,397c5e99),
+S(70897a5c,2d8d2e10,d24a0c43,a689c11b,be2b9f2d,2934ae6f,b3dd130,34046227,3f9d0207,3e083e16,f64ac869,5c1616e9,8f87e8b2,c9c95ed3,3bbd85b2,dfbee7c3),
+S(e2fcd5fa,5c6af2d5,1297f97c,d2f0918d,320c785c,ba3802c4,48fab36,2147f39e,5308f1c9,b9a24e1b,855b038a,41004b2d,492fe91d,8ecb076e,9aea21ce,ecaf59fe),
+S(463d53de,9f07ac1c,6eb5f7ef,2bc70046,261d6a64,6fa516c8,f7677ec9,b2153acc,ca198775,f0f19d71,48c138a8,4f5472f2,f8e5cecd,e2b7df53,61261cce,f322b762),
+S(663438d1,82758d86,f292f12e,cd173445,2b554cac,1561f0c5,8f5fae70,9b165c21,23eb676,75e8f8c3,e78fa6c9,99d6e185,e0f789fc,80576620,5c50518,39e15515),
+S(9a8317b0,65ed508e,4c9239b7,af39f42a,1d43bd98,8fc101c1,d45987cb,ca58f7a6,ce0db1d5,4df13594,57d9df20,6a487348,97102335,dd24b2b3,6e10bac,4d9b5808),
+S(da6f2ca8,915e313b,8c4b221e,b81aadd1,e7468004,8030b8f1,48d1b733,caa33be0,bb59cc06,d267cb7d,c954338,9010d49d,466e4c3c,91335f62,1c4fe7de,d17cabbb),
+S(7a18820c,1774251f,c299eca7,871bb526,b01081b6,c5321056,872da42b,9198954d,3d216aa6,1702fee0,9cd2a72f,e53d6092,2b07b51f,506f7a44,ae490af8,c9da7598),
+S(1240d207,3d234306,70d9f2d0,17bf81dd,728e728e,5098238d,b0d79397,2628f5ad,612c97d,13c5a948,88ea389f,e809b656,77fccfff,d5db913b,771647a6,680fc074),
+S(3862d4e5,c973e75d,ac6e6ad3,1e3e24c6,e9b8f5e8,6641b20d,f0bdb04b,ca98ecbb,524c8d0c,7f485be2,decedee,8320ec4c,79b1c25b,414e129a,2f848de6,ce3997b3),
+S(afe8a621,bbdb4908,5726bbdd,b0d31469,33c75a94,bde06805,179729bb,1518467d,19b94d68,8a7346b2,e80ccec5,a393b7cf,afc4954e,5793cbfa,e02d7f70,7610fc85)},
+{S(50cd2e16,997d7d45,98bb2d9b,61aceaff,5ad5f38c,8286a0e1,d08055ad,726c7800,dd19c3b,c08b8d97,88f9de1,5941f5fa,6402bbbb,5fdc708b,cfc08844,eb23733b),
+S(428114c3,8fc9e242,451a001e,34df1509,1f5c14a7,870f110a,fbcb0895,4c4b2496,4c41e9fa,ef00faed,fd12d4b4,9f5322a1,47ac4a7b,f8c7fc84,3a6250fc,efefb84a),
+S(c0b87aac,8a4ee530,8476632d,ca83b163,3616bda9,5609ce58,8c09a48d,f544051e,a054562d,4bbfcd57,dc7ecaba,f110a6c5,e75e2d15,226bfb27,b8f88172,2a2bcdad),
+S(e7abdaf2,2ddccdcb,736bf2e6,fdd79362,b02453b6,5619ada8,c018fc62,9fe2a74d,8e8362ef,abe83261,ab1843bd,2a477a6f,4a6a4aed,462e266e,e76f5913,1277c153),
+S(ab7c1829,d773868,7faf5581,150db894,4d0a4815,c31e768f,ad3b313b,b159f72c,c687f86e,7e7bf0fe,a625143c,d6d7d130,13986eb1,5b2184a1,9f42a799,fb6eb703),
+S(5f041f43,9394e0e9,23c951e,1fbfb8c3,8e1e3ab,58640799,b4ecf906,a6b2f4a,9f30e2ea,d04ebee1,f5e93cbd,2ed2682c,f2c22a0f,623f981d,f59d414,8c4d2d68),
+S(b1347d84,86341ce4,84433a1,d00e9dca,63b94338,3818ccf6,59b80582,a027d202,2d30882c,d961fdfd,bb6c38a5,a11b6e89,25cc7e03,fe48abf3,3bbd86a1,6a65887f),
+S(6e862ad8,859cd489,16a865db,cda120c9,2a5d8862,460a823e,9c47aad3,88a1c580,8854b584,e25c1b29,1c17fa6,bafcd67b,11c9ffa6,480679c6,8e253175,3faa4ad6),
+S(a1b78338,c54bec48,aedcd65f,c60b25f5,eda31e34,d6badb32,75c128b,e3b8e752,86f46d95,157e23f5,6ab1f851,93e623e7,f693d74b,a08b47e,f776eeb3,cfe2ceab),
+S(5fecd94d,128ae25b,b29daffe,c0d0131c,74df3dc8,9c4d573,e59bf41b,3f83a628,4f2ee3b2,3e5a008a,4c26b525,a5dfcd69,93215d8a,8547f13c,1c871f1e,fb082c94),
+S(bca9377f,c179a785,f7b470da,51bec3cc,d6306938,f21cd224,7bc69651,bec76b36,cd1b6406,a55dceb2,c34e5c70,ee7fed4a,9ea3b1c9,92425ea6,72aeaf04,e5a464f9),
+S(95d910c1,684c2963,6f90ac23,32461ef8,6d87ce1c,7dbe889f,405abb1f,cd0f57e4,1f095ce2,45a207a6,3c8b0602,4b4f25f,30e541d3,c325ff2d,c2c6a9a0,2db14235),
+S(77cb5deb,ce99ddaf,4aa546db,274be540,a29b5664,5fdf411b,879e726e,61bebebd,df4b42c,63787720,42a10781,fafa09d8,e0329d72,1bc2189d,5dc0b56e,4700910c),
+S(152ef349,2f9a22c1,87b70012,5b08a6da,68b50df9,1e671571,5ae11edf,6a35a3e8,d22a3f0c,654d88a2,bccfa6c8,704b99d6,7f5cf72d,ec1213b,f2c682a5,1bb91c81),
+S(aa9492f9,6a2f4ad9,6f9d3b57,312edb60,1ab404e2,52ebbd4e,f86d5378,aa7282a8,bad928db,b54e8af4,2931d08,612ee412,c504c28c,31274bc9,d63366c1,c7f072e7),
+S(a89ab05,ccb1edbf,1d95f7e5,5b2c1aea,e1c45b03,e352b2b5,b0e6a731,898a3453,72b9172d,548e4899,d24d5feb,87df8432,e1a6dc84,8dd28233,58a48c59,578cccb3),
+S(e96d95b5,93801cdc,1b2b21f8,81f4154b,3967e7f2,84fc5a25,99c4fe5c,cf0ce66e,1a43ceb6,afcb7bc1,f285aaa,57dbb2d3,10d09cc0,1942aa72,daaf550,4c3c6bfc),
+S(21de9188,2c8ca8a3,847b65dd,c667c64c,8378a756,cda3b9c1,bd6e438b,8b619cfc,d1d64895,a03b455c,1f52a019,6fa3191f,7dc57f9f,419d159a,d0faa03e,ea1f09e2),
+S(9df78d29,3fd3a96c,f3d73bf6,7cec9246,edc8f68e,7b10e7bc,8a14e8c1,980eeb4b,d14369c7,993e8ccd,b89ed1ec,18a3fb7d,2659f70e,384a9f3a,55761eab,5925bcb6),
+S(81a04986,e34ce13c,b01e334f,78bf2a3e,941e3e4d,243418d4,46fc0cd7,86f5dfff,3b6093dc,864ad994,f1c3b88e,81a46f1f,a916b51c,2d45eb06,46793fc2,e070abc6),
+S(2f725b7b,8ba1d7c9,1c7b2d0b,65fd4328,f468b516,5cca7699,3430669c,d5643b95,dfc13e39,8ee1099e,4ecbd8ec,8847caed,e9872ab6,c9b0533d,b6191ed9,fa9b0e0f),
+S(794a6094,8ad0dea0,907a4010,222754ef,c6e67a7b,d6c5957c,5eb004a9,a5518693,59897754,d7799fda,fbb2cb22,57687440,4c4c1318,b73745e2,e37b7f9a,51eee929),
+S(7110e58a,64e526f9,a9caf9f1,e0ded62e,53450a64,3a6cd150,76983083,1d113dee,4629d7b5,e44421d4,4631658f,23ea59ab,1f15f446,790a600,483c1539,9c597aca),
+S(1d550551,fc307b9c,b16f034,b79e7937,79127f55,8258461b,a786726b,d4c4aa65,51c47d4d,70f9090a,a7f8a183,75f74d4f,ac9c98ad,5c3bb916,bd87a9,aebc3de1),
+S(4973c3e,97daec54,e5b9e9a3,6343e7d8,9c57380f,803f597a,25a386a,a652da69,cf403eca,b165571f,6b509b04,284c6e36,2f082b5d,5e7bc302,3ec0e55a,e73bc4f0),
+S(61f7b3ec,444021b,ee3fd421,18e7b7d,fd795b36,d0145b08,ae09e1f,c0e3b07e,7df1f20c,79e3a7db,72cc08fb,98fed87c,ea923a91,815a187c,55e4430e,cea5e963),
+S(42426dcd,302f698d,9376959e,50e6f471,5b1e2371,fdb03861,6ace0e2d,e27fa90,4c054664,1c4a0ea7,8280c526,70455e3f,51bee24f,acdd46d2,e9f82afa,db42d1fd),
+S(80939488,3eaccc24,b1639e9e,656e7b76,2a310c4a,778b390f,d7a708d7,69c63fc8,b83fb593,a2e198f2,5fcc7add,310c8285,c19d314c,7614371f,9db28e28,8c2d47b1),
+S(3f52b480,40e1ba54,67cd752e,a0265f50,c3bd1964,8f54dc8c,8dfaaf16,d9b3cdff,207a0014,1ee322cf,24d81b6d,2a7ccd87,be4d0b94,a7df9234,c0093bca,3a36d60),
+S(c09cf34,bf1b1f94,15b63dc9,8baf66f7,68b073c,6b88fe53,7a9c047c,30703ec,757fd4b7,4f0fda31,99928ba8,39999cee,f2adbef1,8cf2aee3,4ce3708e,2897f95b),
+S(8c1d9d66,b10dcb56,1fc72060,db7780eb,187b38ef,b18d6222,64188a60,da748871,b413ca7b,61ffe6c,16d493d1,1f955cd6,c7d7bb53,1ec4191d,85cf2f74,4506d8e8),
+S(e31c4039,f33a6a5d,8682c906,612aa37a,3f522069,3948bfa0,dab4ccda,4f08900e,17d345b3,e92d1174,73330b73,cea9b1f5,f1d95ddf,40bd027a,b9b9a0d8,f84d5e26),
+S(c4d82663,9c182e6a,b12ca500,3d5eca75,ee2944de,b9222c4b,6f73c58d,62d24bf1,cf4a0f43,e81dc58,c975d59d,73811d14,b01587c3,1ace50c0,b0b41f26,1f010e8c),
+S(7c2514e2,fb6bb04e,829d82a8,ed9160ef,c9db98a,f898644f,bf2d01bc,97192be0,72114f16,4ec6ba1f,c41d6b0d,6746da06,4b46a506,171707ed,36cc6051,85f57ca6),
+S(fd74379a,f6a18e2a,cd330fc2,49e346b6,89f7a73a,5f4d8862,4997a3f5,826a244e,dfe69f23,b9b2e402,f612abbb,4a4fb044,6a040706,19d6596d,b9953e6d,7179a9de),
+S(a1c639bc,b913e3db,5702956e,9806430c,6572e908,a129bbb7,7c8ba5c5,50edb48c,7db1fa15,4c5841fa,c2127793,e9bef5c0,f749c99,66ff8d92,5a8ffb54,e701579b),
+S(922dddff,7449c027,daa267b6,83112b45,a864a11a,1bd1cb61,ca76fe3a,77a6dd09,2beb84bf,87b85974,316789f5,148e4f18,386e20f7,41ec5066,2066c454,44c840dd),
+S(ea7714b1,fcdceb95,407433c3,4c43a50c,767b3db7,fc7f6e6,81e79f46,44f044c7,6936f1f3,585c04ac,a1a2a562,424e084f,44e0b404,f97f1db1,37b3f00,b02ee04e),
+S(cb4c8e7a,f5aca51d,448f3463,9c631821,9dcf6377,9383ba05,5e44966f,47fd36ca,8b0ff5bd,e8285a2a,1f4a223d,f6d496c5,15825ba6,d835370d,b2313418,b947b4b2),
+S(921d8dd7,ba630901,3f365eec,ba09d017,2d579b8c,9550f6f6,a6d098c0,bbd08b3a,dad72fa4,9b0f415e,d9f96bc4,78a93e71,98d9456b,6ae10f3f,a1c744c6,e494e5fb),
+S(7c9467d2,2cf5a364,191bf731,1ada75a4,3d081226,ff2e359a,47868572,3af15f29,50b15ecd,73341559,32ce1c54,e9a25b96,15dda8a0,6f4bc132,cafceb57,2fb48581),
+S(48d10472,c10f4c90,713f899d,65f6edd0,af1724ae,117174f,55d4667a,b440e13f,baedab21,45103f2,aa668f05,2413b8d5,61ce5957,bebcbd8b,c49fb824,1af21303),
+S(880d76e4,b95a3a8d,7ab6f9d6,f2069668,80069c0c,c447dcb8,f6063d9,271b570d,150d6984,2f638d03,881480f1,bd2a1958,9728ad72,f97d909b,17f79cdf,78416360),
+S(286eebb7,f9215e09,969d8300,72b15a32,fc7733a0,455d2db7,71e527ba,e81caca,8584803f,db64bd55,317dcb87,a8c316c2,f48b3417,d0087527,338635c1,f78decf9),
+S(b3e39ada,c92e1922,de3922c8,2c7e19d7,b5d10f4d,5e2cd771,492ba2db,444ede5c,bf9c1afa,d2cec5c0,66cc9e9d,61cce716,f58164db,e31f389c,2b596c38,e4c0ec9),
+S(749ba52b,b88bc33b,b31f7aa0,fb95a62,932e447a,9a7a2926,56d16676,d66435f9,7075f278,6b7df61b,70065a46,7591fbde,ec40001f,242775a8,67fabdc7,45221691),
+S(5ddb1306,a33c61c3,f0386141,7fd924ba,3118fa2a,53943221,b24cb748,841e4aa9,9602608f,4fd2f4a,511d012,320d05ed,bf1b5ba7,4da5f6aa,2dccbf0,83a18551),
+S(6ec58a5c,d0ade361,93c644cb,e96e64e1,f2b519d3,80f7162a,b962337e,5b5c8918,85bc58f4,49b7fc44,1e95721c,b9fd8cd,63e8a250,83d9ffc7,fbfff18e,a2ef7453),
+S(9b2f11b2,f66f7b29,e8421aa3,549c7565,87cdb7af,24354a3d,5e397515,f53f8700,3faff052,d2557793,b14a0574,942fb52f,1a53f6ba,e7f4c6c0,a2491194,2d9ca567),
+S(d260f1e7,57c31844,9e12f1c3,15d28bf9,fce06b1,f7ce5db6,3210ab74,fa45cde3,54952184,1936423f,2314754a,5b419041,7510f396,90996d90,47ff1225,46672ce4),
+S(c6b77e18,b935c842,52aba9bc,2a5f9a6b,86b207ef,5487e89a,7c754a7a,bd03b3df,1ae09c2f,61732aa2,9267ba72,8e22241d,efd6762,16b3173e,239cea45,60ad3978),
+S(ea2c66da,fe996ba0,ecde644c,28fef595,490710fb,1052b81,57b63260,e53e5a83,ee91b4e3,cb71b268,dbc394db,7744ef3b,ed0362af,592bf252,71b8ff62,b821b8bd),
+S(d6f6061c,904d3a40,75b2c0db,7620a6a3,9a7c21aa,9ea5ed11,c661132a,8cda9031,48fd7dd2,50bf50ca,91d362d0,f646dd6b,7e0f240,4ffc2973,4f131e9c,dfaca469),
+S(30538847,93e3b958,a808eeed,546484d1,10cbb833,29a2b2f7,6f61bef3,b47eb9c3,ba914a53,87705dcf,349f5257,6bce5ff,d711fff,6fc8f6d4,3fd61b1e,2b47a577),
+S(38558d28,18358d69,ac6b59fd,22660f25,58d6a000,35469f41,6f0970ed,1eeb8a59,8922887b,e256a2c3,3a3ea6,e745222c,9f07e9b3,f94ab1fa,2926e04a,ccd0c609),
+S(fbc47f3f,534e67ca,d6f6de48,b88a0846,ceda2d84,afbb601,db71a61a,fd2e11b9,dfbfb0a0,652fdf29,5709b06f,2e61a703,d287b2f8,cee4ca,6a9f2627,2c30fd9b),
+S(614d35c7,23a14b11,f3ea097b,6aedcf2e,536e077f,85cab312,74b7c9ff,a6b3112f,5b91b524,5a85c3a9,1194e8bf,be940984,c5866702,b51417ce,7a436642,d87edadd),
+S(8304c266,a9876255,70768130,ad244f73,668a6bf7,ac611ff4,e782a6b3,761e5284,e47adf0f,66d4cad7,5834e7b4,f1a26b82,d5f9285e,a567fbfc,5f7fffdc,3df10311),
+S(b1d777bb,76529faf,3ee711d8,58ba2509,c378c99,4dbf27bb,deac9d98,cd0202f,11f7598a,55c079f6,7bd036e4,e3a3bffe,159477ae,45c33ac8,8321fafe,3141bdcb),
+S(7b91aed5,408649e5,41ea21b8,326f9549,6228e3ac,4e460b34,d77a526a,7972e4f7,12dff7db,c620f9fc,4ba287bd,2744e1b,4294e723,cf475d58,22f718e,c2dc326a),
+S(56e7d74c,a4e530aa,7ae803e8,734280de,d87092d8,78ce187f,4a13ee50,c3d58f0a,d69161fa,901bc6ea,fbe62498,4ecc70f0,24755a0c,100ace31,7e677911,5a4c038e),
+S(c83cdd85,43dcd105,efe4312c,f8f5e73e,1849364,668f0e50,dc40b13c,1c44fda,bad22032,de13c4d7,f2a61ec,947f266d,812e8b3e,d7fed352,93d161a5,844c96a4),
+S(fe6f32d2,68be724d,28d1344d,8406c60a,70a2a009,db4c8e42,f434534c,4df9c3f,339bc5c6,2692a66b,853a323f,d09526f,3b336c73,bb4cc097,7b78fd67,96506d6b),
+S(c3f6f279,fc937a66,a494b2d5,3bc6c2ef,13088c8f,842e1d61,3c5a35b9,ef2fcb5b,41cde800,63e8bbea,b2246885,59817f05,417d5311,e9fc8b7f,6c247488,10b30d64),
+S(3dc7d5c8,abb4be85,9f6ba28,67dad2a4,7ba7970b,ffd77ca8,54107333,dcea1dd5,851d695d,54d5d7d0,b7aeac6b,97a27a9f,2100fcc6,facdf142,c82cdf9f,79c5cf7e),
+S(2e28aa72,54ca6c6e,5891ccdb,1a1d2a85,53008b29,77a04ea4,d5deb497,bbcb95d7,361191d5,945c523,8908e0d2,6c08ba77,aa7db32a,5f19e348,a0037255,4105f55e),
+S(84796cd9,233a7af4,7518bf99,778abd4f,a0238434,b5239f49,fba6b27,90f67bae,deb650d6,be46f3df,cd80fcef,20317c93,618156bf,343e9b2f,bb158871,5ce40c2f),
+S(dbbbbe08,e4c768c0,531a3158,9b8abc28,f747bf69,228d16d0,8b0091bc,b292531a,576081af,a5aef1be,9916bc4a,2abe3970,12e371b,4c05e5c6,c97879ae,9e73c8a2),
+S(25f6b015,45a8e870,592d532b,de9e2e8c,feece584,1667235d,a1bac7c9,58350591,5faff24f,2fc43cca,285366d2,578814c0,879cabbe,cde4b557,e7dc6fe7,43462ba3),
+S(1cdd628a,a5ae5c80,85e83c74,986dda47,1d12fd07,158b20d0,d2d58599,f4648fe3,57ed9696,31e1134a,dad47894,f40c3e56,852d1ae8,5fba733b,d46951ef,7b33e5fa),
+S(255c35a5,ce78bb41,ce85bef1,9804a70e,86aee3a4,24dcffcb,47180671,475080de,783f23,71984093,7db83676,7c3e20b8,f216bb68,bfa8b90b,7d9d95f1,1bf2db1a),
+S(517283fc,d1cf1144,4f7375cb,77af87b2,3a11ce7,a954feba,378fc420,a05a8c9d,612cae52,640568af,607af275,4f6060a7,40b89f00,5dc02274,f2c6b8cf,e81c2e15),
+S(39ff6f76,c8e4b6d8,4e742b0a,67725f83,51b782b6,638a032c,f9690635,fed32d55,c3d54b29,bc4ab777,c027f5a7,3ee75b4,a82dfb8d,5a5aa403,9f0a8787,dc054b58),
+S(bf620a81,d6ad1d03,a66ca76f,c3b20e84,2fc75ea7,ca7e1f64,9818b27c,902e1ca4,4894f0fe,c2aef2fe,67c8aeae,5a9f0424,1ef68975,955eeb0f,66f63753,5d559351),
+S(4c34e4e9,7584b95c,9bc6608f,7dba493c,97022eb6,14efc494,fb721fc8,3388a06f,b94f610d,b8bc4bfa,cffbd677,264ec28c,be18cdc8,db64154d,b62c4316,e9bb59e0),
+S(76bbfe7,d39d6e03,9be09174,52fb322a,dd3ea192,6b546918,41b97913,acf75247,7bed078,7752a432,f0275ba2,a97749f8,754dee1,a5cadab9,5482d27,3c99b1b1),
+S(deef7e31,9decf761,18e42c7f,27f427e3,4cae0d54,d7a045f2,dbe68349,c5b011dd,d3e73e4e,8f89b39c,83c7855f,8b5e352c,64f7b8d9,7a00c5a2,4b1b7997,c1db907f),
+S(23f66927,d6a94731,2b43d845,fd0ee2f5,8cc329df,8ec37f11,75392bcd,c8d48857,747d60ce,bdc9858f,cfb28fec,5841d362,5750dd35,d08d0f27,4f173fa3,2fa0c4c7),
+S(e885b643,c668ee81,4b94240a,4a68126c,625eaf2e,6f9dea6b,230a0bed,dfe06d9b,b575dd15,7436244d,191e3b13,d1bc8682,76940436,16b52aeb,7c731b5f,120d4bd8),
+S(4ae81c35,d39ea1cb,7e5787a9,6a7738ad,89a0aeff,c556ba4a,d4dd1c5e,bf5a4044,76a3e3f3,96b88cce,2c978354,16cb13c0,f74bf815,ea9c9397,86da049,64f06d61),
+S(490cc37b,6efe437d,35043f53,682dcc1,2b2a4704,c8102413,62fe38da,44717b5f,fb5c012,b205a188,6f1d639f,228f6388,2c598299,d2d6ee45,be44d994,bb6b6328),
+S(c408d649,f8524311,14582433,d4abe603,5e66413,e65dddf5,f2ce6854,95be8d4b,bc9a1d0e,18504133,4e4b43a1,9d34b07a,1b3f7cc7,290328a0,71437e12,ed80126e),
+S(af445e25,7fcd5ac8,54992782,30280aa3,354d296,6d494f6b,90c883a4,829ee71e,f839efee,87643874,2440e65b,870b0e37,3fdbca41,e57f3765,2cf479c5,cb7f6882),
+S(f2c1adea,d2f8e95f,ad6a475b,199cc75d,a8471b82,1da81d5f,6d8b2baf,a1ea01bc,8e3543b5,36247e35,c2117eab,9d3e6783,f48bc2b8,b20993fc,1a0ff28d,1aad1666),
+S(17b3dfcc,fdd57cdc,8a617eb1,5ec80659,fc695bcc,afd3a787,fd91d8d5,69abb5b3,75f1aea4,70f52f18,d2eefeec,7fff7f48,6718f784,a47cb32f,4f2c8574,591c122c),
+S(f4d6bacd,1c8ac10e,7e97a6da,8a7d1af9,1c96a67f,fe76982f,a0ac95a5,f9f5a9e1,ea6179a8,1ccba22f,4dd93b19,5e151d38,cbede6c8,70a4a383,edc7898d,1f8f19be),
+S(8011232d,32d4bdef,1fb56ae7,3e231a01,b877be6,72567310,2c30478f,50652092,49b91451,23311b4e,6c038801,f84561b2,8db03ccf,3df20b68,b35714e9,56b4f67f),
+S(e23dd461,b79f6b64,5da455ca,90711ab4,cc117d66,ea8c9835,67f70207,ac5e1f31,8e84c4d1,ea634402,375c4d4d,6e8c8427,fa2479fb,3461bb5e,5fbf1f06,d34c866),
+S(a2f6486a,97afc8d5,8367a949,278dca64,ed265743,16827b7e,7f3710da,9d7dfbc9,a723d6fe,419317d,623f8e24,75b365d8,cee8cb15,d1c8df2e,218f1b42,a72e7170),
+S(f789b715,a7d5ba20,c1f8cb05,86cfe13c,59d27b83,ad1ffca7,75b2cb7d,9af88999,149bda63,63072ad5,279885b2,be81923f,ac9c4d07,2ee57602,5d99e727,150a26eb),
+S(24078518,7abb2bbc,721e59e7,923f9832,77b13422,912c983e,d8670e96,c698c1e0,7e2f792,7976ba59,20748e26,ce48b29f,6ca37a67,6c8b4094,e661d5a9,be39588f),
+S(8703f78b,17ff31d6,89833226,8fa9db6c,759e6066,ef8cf8cb,719f49a0,d7af6264,3b9c4023,d92827a6,53a7798b,fb21fe94,cfeb592d,a55e21a6,8c6615ec,2bda7ada),
+S(52f6da10,3d75bdfa,4e0e7637,229f0c31,a6f5aaa3,2504daff,e1ef639e,2daa16e9,5d71c088,e8480d6c,e51062f0,241d0b15,9bd143ea,451193da,e13466c2,bcbdd037),
+S(c68fa920,9f3a997b,2cc91748,3570ce74,1a0dcd63,1d7b483a,6f73a3cf,17b53eba,1f26839b,86154284,28858ba3,a3084947,883053d6,3bf039ca,89753199,21e505ef),
+S(ed2deef0,9f558dad,84202b6a,e2456f38,39755fe5,6afb5aa1,147adbb3,915023ec,40be5a33,a71290af,e5080e32,dd9fa12,4273f550,9e78cda2,395235fe,c78e3274),
+S(3538ad8a,98625432,2e7a9655,4e12d822,812b87fd,778e4482,b255b6f5,5c301442,5a6960b5,d21b0a7d,4afd9c62,7caec1ea,e8fa82be,e2ef80f6,50c56101,ba3a76f7),
+S(a9580d1a,2b6544ad,65e45228,8e0dbdae,ec6de5e2,e9efc056,ff048883,b9f435d0,1a70df90,3d932f52,a9b3123a,1384cd6a,cb5b811f,bb267179,e1e4407d,9269af21),
+S(efcdd63b,3c964ee4,f04a6618,ae526958,db1ac41f,bc53978,84529401,c0c53a26,913bc698,4d51d792,919b389a,dbb2acb7,7b3df92f,138355c8,7cb3caef,8cc50c7a),
+S(c518437f,7344d6e5,8cb5ae74,acefba6c,a2ad92f,57f407e7,29f39221,885a8e17,efab7c2,145a8abe,50b46c51,9a679ec0,1fa017df,7c82d27f,cd2f93fa,affb5ac0),
+S(a25e878b,9cf81fca,dc06a526,a9162260,d42273c0,49e7038d,ba66a450,25fc75c6,b08a8220,ff708833,56702dd2,b4971eee,956b2711,2767448c,7f2e553b,965f7bb2),
+S(ce0ed297,f5961a82,327a1d8b,2c20f8c1,b996815f,c951f8d3,3bd0c16a,3ec45c3b,c4d21e67,8456fc84,955240e6,984b0a0c,8a10eeee,f40c6a4b,76aab8d9,5e887e7f),
+S(b33ac12,369bf1d6,22c2c557,7fda98e8,f6bb4389,fad53459,e824bfd,e4409229,52925428,66a98f73,aaadfca6,940490c4,91e4ca9a,da343f8c,76b7f6cf,588802d4),
+S(958d34e3,58ba9546,ab139250,d47f6bba,59f13203,e07432b4,f37da854,696e134b,e0c35ab7,45e91cb1,53ee07b4,f04f1258,9eeecb89,c30d10f5,d0322a72,7285ef19),
+S(cc633cb8,b2465aba,a9a4428a,5a36c8b7,cb2fca1c,9702aef,8d54d249,338dac27,b6933908,62597527,8299b8e1,5fce0cb2,1ed84a9d,2533250b,6e417d2,fc19b06b),
+S(61b81bf1,3ae0ba48,eb630593,512be80d,c4960d2a,9f0a6589,65ae04d7,36b4836b,43589e39,7f4d8df6,562fd8b6,8d4ee7ba,9faf441e,b1b09b8e,22f81925,9f0a9269),
+S(2ce3ee71,b411ca31,74f0c249,7feb6bc,331a492b,85480be,32193c25,6321f853,32669ee6,8062bf36,b8c8853a,eacf0826,dabc81a0,48ef504e,e2ddf10c,8d6cb4c9),
+S(6ecfd338,ab60c9a2,a50cfd16,498dcb45,8e6ac09,d5517fbe,f95f54f8,1b5a7551,b73277ba,4b7486a2,594f6571,a86251cf,54a1a5b0,9aa3017a,b4c0212f,cc94ae22),
+S(a4cde541,dd4897a7,95f90ed8,75907a6b,8406a888,dc807d5c,6317c7ea,7f226d0b,5cd7591e,a305d546,14ff4233,600c813b,414fad07,8c1016ea,b021cd69,1d25d879),
+S(4961a20d,ae4956c6,dfd04d1a,a261bce1,ff27a2ab,e0c3cfa5,6cfe51e,24c20fe8,9bf8d311,61ebbf5f,94c71ff0,7a9a04b1,92bc6cd3,e50baefa,71de2af4,f38a8660),
+S(4b099713,d4622a37,d013359f,67983269,3274d1ed,4345cdb9,96ef3550,a57064a8,dfdb479,e07a1fb,ae741a92,2a468c61,7ee4cd46,25b1041d,f554e0cf,7fc5a776),
+S(b5ae6420,8130d080,6c568d95,8222a1e2,3e649a67,8af5f0f5,89acdf17,8f79e9e8,2d883796,a8f45bb9,7d30e88b,99f6b01,dd46d91e,60d20d1c,430c36b1,b8b8ca45),
+S(f7f1820,23de8475,7591f366,116bd60,5312706c,2d380d7b,16f50bea,71abbb64,5e3844ae,1db871e0,c12a7205,baf101e3,77af946e,aaea64f,c9aaf9da,e1ebbc12),
+S(6d2620eb,ee6ec651,792adf63,9afb0fce,ee933e69,337ab7cf,2ec85ff,917ef538,e159145f,6aeff15,2e0403eb,f3082906,f98313f0,77028f74,bbe562b8,f335b6e6),
+S(a98cec29,2cad6781,d4339548,10609d7e,77f7489c,2253c04,3ec1eb03,a69eda44,c5eb7257,c5b965ec,1ee643fc,7f48ca4a,b612f616,6a3ecd7,4c8da3c5,3c4efcfd),
+S(6a88d0c4,4055a898,28a7003a,1fdd9941,4c1adb0e,90ed8d9,acecadaf,6a73920e,6fe7abcf,25385db8,be815eeb,14302bb0,5a630f92,2aae66cc,b0d42ac4,92224c97),
+S(8a101a08,52559761,e2c6522a,6bf8909c,2547ef9b,550ee027,45e23592,89c34afd,64248f75,469015df,d9045beb,2de9573,c1f2e2c0,9f7a4cb5,cc85511a,f7182fac),
+S(ea84bd08,37bb25e8,27ca0241,2cb8bd7d,ae47661b,f2460598,7ac20c80,753249da,15be2ad9,d4a8d7b1,964db56e,8415c890,93214016,e694f258,96574d48,45c8a1dc),
+S(be2f219d,60dbe256,57bd9b46,18f62e2d,7501e302,885731c5,34b1187d,2c750f31,f521ca05,48ffffa3,dd70e0bc,79602b6b,617b9ead,b64e7af7,3d9ebcc8,bbd220df),
+S(418d2b33,ce151147,83a75265,a876a709,ce7f452b,de9933cf,6e7ab1e7,7412437b,52693c44,5e1ff5a1,89b856d3,9d413514,aee35974,fc4678d8,86d5f998,a18047c6),
+S(3e4685e9,3c65f31d,c58656e9,a8913d19,469f5e,2d49322e,6a99af10,c1142f16,1ed3edbb,6186e995,8241f3b6,ff7659b1,bbb007f7,f9b5f91e,92d5a8b2,c780d914),
+S(35e15d66,d952ab13,de14a71e,20b1ed8e,f4b3f183,db75c62f,9af7ab3f,945b2d29,813f47b2,3fe523ec,12557edb,9e1b465,4582de57,5ca3752f,2e60be32,eb4333c6),
+S(f025b371,b5c98b91,6157e1b1,53aac27e,ed42d435,53ca159b,48940bdf,b0f8d262,70fd31b7,a5470435,7936f98c,cb4c27eb,115be6ea,b4de7a88,1151e5a0,4364f12b),
+S(31b36d5,b52ea8cd,c0298c03,8fa4f99b,19b3ae06,65d667d3,639ea3e5,c73875c4,924ccbf2,d1890df4,783760c,e6e2f50a,8dd8838a,bc87ac29,bbf89eb7,f0b46eb2),
+S(1d57ff02,22db5c5c,f6f1558b,f71f0498,b706c7a1,84dc463b,77b4e21b,9d5c1699,b6238d2e,1bf715fd,d5cc0843,dad6fdc9,e1e6d485,c3584dda,3d06a1a0,414a3b31),
+S(b5b7da02,4a6626dd,f67917e0,63a3a64c,f389e8e2,a631853a,c8e5f45a,4395cf24,151c4b35,22b4f1ee,2105b3e1,4ea193b2,ba6bf1d0,feb4511a,d72444b2,66fa7f0a),
+S(2a58e24d,7f43233a,55a399d3,7cc0fd91,9b451985,13bd725,e24edc1,75ff6163,4f451eb2,c7374944,7296e447,406d5025,b5da17ab,8567cf01,ccab260b,da6834f4),
+S(d8e2416,99d7e8ff,15853778,bb52a218,a2ed0c45,c7ebbdc4,a7357acf,86e7cd52,e849021b,83d33fc6,826c0a35,3f4188d4,37273a7a,7adeafed,6514bba1,a4fcbca4),
+S(27f9e422,dd1b9a6f,64092125,71543d87,7d8ed097,52b2e6a0,cecd81e4,659e1f41,27563650,6d56cc26,cd289851,2274314c,bef8da2f,a4b1ba19,740d8ab5,4d4c3e60),
+S(2071b53,72a746ec,a0795422,ea0dc0e1,b105e1aa,fe2fdd64,b08ff2c,47f4067c,1c95ae4f,986047f3,d969e8af,99775aaf,59a94c56,a47691db,fa0175ff,17641b0c),
+S(b8decd7e,15355cfb,dcdb3ab8,48b2d717,3d61113f,58d21580,9292d4ba,379a839e,2ce7737f,7dd82aa7,76560921,21cf93a,a5e3c6d9,952c3adb,b6fb1f04,4274ad71),
+S(23c7a3a2,70f20e77,d62f3d77,a67535ab,5554c821,71c77bee,1b05d2e,5ea67557,b8657a68,e2ded30f,19365bcf,916037e4,a1d87db4,632c90cd,ca782e40,b27bfda4),
+S(b9af932d,753ba63,f7ecf070,d20d4355,42de9c72,a93f44e5,7b978e5b,7428432f,c2b21fb9,64593524,104c980b,a53de2c1,6e7408b7,33e2ffaf,17ed540a,6253847e),
+S(e461cc8f,ad51c58c,fea92090,c2d3dc1c,41971918,687368c8,4c84a04d,d094704b,c1b114e,2cccc522,6fa3f753,5b6f356d,fddcad24,86197d90,4ab00cd2,f3d0103),
+S(817e0633,4b8e706b,b7282b40,a4e243c1,87b24bba,6bfb69b0,d5a366da,c383e3a1,77593627,482c198a,f29a892d,5fb50a43,d10b4fec,5937d696,ee8fc6a2,20deabd4),
+S(30bc10bb,d203182a,f7dbcf39,f0ee3013,7f26980e,e5f934d4,f151f080,b1341e5a,40fb3e2c,45dd0832,cb50d0f,4f45025e,3285bb6e,adefa1fe,4192e4b2,8a77197c),
+S(143f113,8c45ea5e,a6bd339b,8d1aa91a,9db0dfba,90600868,309c0b5c,1a97648,e45fd7b6,8d025855,1c35285a,87fd77c5,1403c836,e0697b9d,4dcca76a,1422a6c2),
+S(f3d30c38,4926b19f,5bafd37f,ea9b7c93,d4776564,5b8b4a89,199ed005,883e8c69,2f6179e,26dcba73,81ec7e57,1eb427f3,455808c2,21926af9,79efdcf,c7ff364f),
+S(54fbfba7,13facf23,1013a1b6,ed7514a,4fe11323,3c363ca5,118a7d9f,63b4c116,dbfbec7d,152e7c9,2bb98067,37e926ba,66ed85fc,2339ad8d,410ed762,4407061b),
+S(81d00298,aec59abd,c3ed4b5e,11d4589c,9c7a7ad6,54add200,ea6ab124,3b0c484b,226d41fb,a46202b7,ecf1ef9c,11acb33a,cdc15547,7bbab0c,1f56f385,6401984a),
+S(2c088e50,50061a7a,47d84141,a858df75,f51c5c17,717b35f1,cce982e1,209712a7,44700a1e,99cd0f9e,8d05c8a6,18a75edb,d9d7f67e,45f5f40e,4c00eda8,290212e3),
+S(2c903ebd,68f2053e,7a769b86,bb017939,556b532e,1b84cd7a,2397b1f7,f108a145,2915c5b3,f16b1eb4,8ed436d7,4a79c50,72a2eb02,b989da66,b164d475,941a8b14),
+S(ffac0b8c,76c6b7d9,24ed25e,3f43ffa0,b261141e,715c07c6,c327a719,6b11fd43,9c25ada3,fe7d1661,1ba95eb2,231f00ef,cd250e16,68dd85d3,96025f65,4fe7da52),
+S(d81236c3,7d7dda31,849e20b3,c7aebb2,b782a1e6,17b9d6f4,f56da4bc,d860c573,ac6628ac,98c0896e,ff1802ce,a43ae085,66e902aa,abd2cefe,b910465a,9f0fcf30),
+S(19d94647,ccf05308,32903c94,7f149f0a,f1f7503f,92300232,a6f33e15,7874e321,3402ad42,87ad0814,4addcf3,2f7c60a6,6f65255d,ab4bbe,b10826f0,f5a07f39),
+S(2248a7b4,37bb8bf5,df85b382,224a3d68,45965330,24f8c872,f81e2c33,610ac810,c3942980,b054122c,e806a67e,7f004b18,5288ff5f,d7e17ebb,97e68e64,1c416bd1),
+S(d8a71ff4,a9de84f4,f28e78e9,4815ba2f,dfe48256,7128d149,e44d5419,da84531b,d3258392,34c87aed,8534e6f8,f03802b2,e76a5f20,552873c3,991c8d31,346f67d1),
+S(322a4b9c,32ffd7e0,2548cbe5,9f50c2b2,e2a8c70c,dec7e39d,61505a2d,4d780ea8,809f262f,d258b1e5,b140822b,caf74d15,9fb764d8,53b653f9,7358adc,5891b0c0),
+S(4b7a2f4c,e7cdc092,9bdf7d1b,bc91a60a,2e16bd9c,ad9f1cce,38ed644c,3a790fd4,5adcd298,78333b26,20d43235,8178c2b6,a4e697bb,81c3abd1,b850a334,933573e8),
+S(2d7d8029,8da39ad7,ae7ee3a8,583768ff,fee73a78,728ffdda,b3921988,2ba3d8b,6f9e5aee,bd08f707,a49f120f,26869ec1,cfe9d9f2,a6e0f0ce,b6ce545d,43951358),
+S(256b5db3,24dccb17,3b525434,ca36d6fe,37d469b0,4484dec1,cd44d392,b0f7aecc,c35db3a4,61f0f477,1a5d0131,12be5a90,64bcd516,2566a373,daa82b09,415c84e8),
+S(9b641c2b,b2e3ee32,cf592c06,532dcd71,af0a1196,3a82c3a7,c0e809d5,8cc9b65e,e5925900,9d981017,bc12b524,b00ba98d,393be520,651a7b0,ea8f9ca9,75142814),
+S(69700df9,b800a1a0,afa144c6,3a637027,ae53a786,e9938345,e147509e,ab6d44b7,227f91a5,b0492dfd,1e9b5d,bcd02bfd,4678bf86,8e69b7ea,e97e8b17,1aa1babc),
+S(5ab9358b,a7008f2e,75392981,d93d062b,849cf9f2,216c48d7,4887d50a,3d8ae5d9,7b8e1ab1,9c6e9f7b,89a524f9,e39d5a40,90179745,1ed87e58,23f23625,115043b1),
+S(46fa087,213b7db1,32997f64,cf9adee0,149adaae,e4d7c9af,61aa3193,606f12e9,2c428c7e,1c80e6e8,92f89777,d8afcb8b,8c0dbf3d,f8958f83,6ff1504c,e0517443),
+S(c08b8c75,cede8e1d,c3ec26f6,ba7ae08,ec22f798,aa89e258,a0291e30,ee0c06cc,8454d21,18f72ff1,17866e63,5f65c349,2baea002,97b16e47,ef8876f,d8b7f5b),
+S(f50450ff,aa054493,b0660d35,521d1ce0,156443b6,f5327e68,31385219,8e39ece9,aff228cc,970fca4d,9b583c23,b8e6eda4,feb549a8,2d767b4c,e535f6ac,d68d8287),
+S(e80034ad,d9f421dd,de74ef1d,7a7e6e4b,fbe2dc0e,5f50b05,f7e8560,3c52ff0f,ef285764,dc9bb2fb,e6751352,a1926075,331c4abf,51e36cb4,36c9ee36,fea34e10),
+S(cdbd6ea4,b3580bd7,29032b34,7e18c839,4832d8ee,11fd7a4f,c9c63986,54790037,80f51eb3,63d9f7a1,1e4508d0,643dcaa,7fd1570a,8d3e5f71,8371e118,d29f340b),
+S(7eba7974,42a779a2,5d3ece2,a022719a,94a14eb8,e6f821b2,136c0d1f,f5637f70,5cd4f314,75808559,77def43a,9c974f4d,ed3772dc,b9091e7b,28745827,477a8611),
+S(b44980a8,5e5fc57d,83d9791f,54418ad,5337eb5a,61746d6,71fb200,b5971f82,ff6cc373,5122c494,fed9063b,c8ad9e04,9842c639,db750623,997570e8,76324da3),
+S(71057596,36c41dfa,b4bcd0e2,5c5d1d47,e60b283c,4a9762ec,10b15464,4cb07802,3a06998d,23644db2,b9cd18ac,1a077549,57e1cb99,d75ab6dc,c81db6e8,dcd947b6),
+S(c134fd2f,c63a27a8,17e8f797,a120ed41,707067,c09931de,73e71fc1,84b1015c,5cd78606,9cc187f4,a3d2acc5,7b41d22d,cff9aa26,235ec094,c892a111,8488fa75),
+S(8942fdcf,4cb81983,5e03559b,c81f4da4,bdba287f,b84c0ff1,2b023658,e389e146,e50d5d33,b47da2df,3130c838,5667c158,f5034d02,bbdf0be0,5760863d,a6cf2120),
+S(3aed32a6,5d3188f2,ade2e91b,552d4c56,5d75c72d,dd51efa7,ff2e2e4d,49d71c0a,9f980569,e231ae71,3f524c7b,a616c342,340a1cc7,2a0a78fa,461c732d,8b3571d0),
+S(5b824633,8060ac28,f228eee5,405b10b2,8b33ddb9,9d09aab5,c8f32ca4,b3aa59e0,ee4e5740,206040cd,91c46d93,24a94b6b,6439e517,cbbd0619,80b5e4ad,91938e4c),
+S(4eac5700,26a7997d,b5864e0d,1e7fff74,61cccb83,aab89c90,bed839e1,a6392220,9506b28d,aacec4f1,9843944c,690adbc1,ca8cb6c4,305510f1,31521569,fbe3281e),
+S(c205259a,feb286d9,bae84b81,debad402,c60a59e5,68a0f4d0,204e909a,41119044,16dad4ed,eb541c30,38af010,5ed75ebb,e281de77,c3e61e70,344ad85e,2ca34662),
+S(dd215ac7,a8023c12,a7752db5,89b72cdf,90333791,996f7f01,67162221,db0b131f,8436a84c,4d7af578,2c377394,26012793,b99f5c4b,f6c37a4d,a2ff2847,c4222a6a),
+S(2d71215,5647ace7,88354c3,522da12f,fc44920a,9fe67b1f,e05f9eaf,19997db7,23cb203c,4c904541,2e942d3,da6cbf37,3f40a1f9,b6d896ab,b797955f,3666b0b1),
+S(59643435,43bd6f7b,658055b,2f9e5966,303c276b,b79438bc,10014301,7b6b04ec,6bf6b2cd,7c88a172,25a68dad,e029bb0b,26137995,cbcd9d5d,8f93c6e8,fadb52d9),
+S(1fc70dfa,bfb7cf69,21f682ae,ebdc182f,f0ba39ee,8c28b779,325f9e7c,152a00cc,f79507e5,51c7b44c,c9525d97,5110a19c,3d51593c,4aab618e,641d6de9,466d8df8),
+S(d1dbe6bc,1821a383,d10318ca,c23cd56d,17106937,42609427,edebb18d,9ff8592a,b45168f0,d49ba0f2,6a8729e4,c860ff1d,e1dcfb0b,7c1ff20,48b2cd15,be043205),
+S(4d15bd89,53a4b5cd,5d11a16f,728397a,744db565,cf744494,b67b1b4a,ff07f375,9cfbab6b,e9cdb650,fe7ef824,c3118722,e68fc601,1b8e84e3,e7028e69,d3235565),
+S(dec346f8,34a5575c,d58f3bc,86ca0d8c,9ef3f556,5b091917,c80f467e,fad12a98,20741ea4,793def6c,3b46e8d5,baaa6e4a,1f529cb2,880b4142,ef0a3ed5,6d445efe),
+S(ccc91a35,3532454d,9fb0d811,941eeafb,890dc07d,ab4c117c,f9547c7c,6b45645d,9e25533f,2f6bd1cc,2fd8624b,a64d42db,fd8ac325,37f09c7f,1d74fe46,40aaad82),
+S(feb81407,df6f1137,e257c20c,f58a77b5,83ec8f2a,b5acd9e7,12ebe6c1,2aef1d60,b7279d4d,470318b7,86ea0630,3e78981b,ea2aba8,162adfdb,5a8949b6,1c1e3e73),
+S(ffe40f24,eef97a34,e57728e7,7c445209,29058d51,1bbe823f,b354f853,63009c7a,c71020d3,2946f80c,700ca0e6,a6dd43cd,a9461db8,a25b67fa,92008da7,a96e680e),
+S(a36b2254,2f8d9055,41369ca7,793eb500,2f6d8a69,410086d1,ded6bdca,692d1b6c,b9b73b65,e69950ad,f25787d3,897738b7,5306afa6,8156419,892799cb,20a9556a),
+S(92a24def,2b893f11,b0056962,b41273f7,76fa4a0b,4d525f3a,14236756,3d5b240a,9e9ad443,5fda1d46,a77ab3fe,62971060,8105f5b,a6d9fa83,47508d6d,7bd8d288),
+S(8fd20215,ba152223,ecc28d20,749ccbdb,9d536b64,77474808,9d2cbac3,e0a11f77,434b10d3,33418084,ad2c42a,651b52c7,bff040b9,333fae3b,26935997,7f6be47),
+S(b4e6caec,c78da734,80884183,d0aefa0e,82001bc8,2c376981,f40b5c13,4c8a034d,95f192ca,cb5059f4,3c6323a2,a0e09204,4f39ecfa,92c22dfd,e0bd5365,5b500c3d),
+S(9536a1c3,ee4b8aa2,8edf3a0a,e2981657,df90bd4c,c62be8dd,8aad1a85,8c4d84c5,fcf54bd4,665ebaa2,9ea4d2ed,40bc8a42,34e6e061,e325abe8,2a123b06,36d99d4b),
+S(3e15d13c,75ff91bc,5e928cd,ec8e303d,286deea7,d7a4d88f,6613dfcc,a0c27c59,f98fdca2,1e3dc253,44ffab,2865181d,b830c74d,2891c80a,b71a8,904cf13a),
+S(8215dd74,1eb7a889,7895feae,170dc452,f8fc451a,2037af7a,fbc02813,827ed4a5,bad149be,dec24412,4f65003d,d44656bc,5e61e332,aed71f73,b58492ba,ede0040c),
+S(7b3755a6,3913920c,83a2ab1d,6a738122,bf7a67af,ddba85a1,6b9d7de9,ad6cf0ef,25752fef,1ce6ae9d,4f2ce922,fc610ea4,d4351718,f8e97bc8,bd4396c7,11697dc0),
+S(cdb499d,f67a81dd,db28cfbe,bccdf877,4f8b76f,6464ff8c,221a95d8,3e3ffe6f,4b08bf10,15fe6b37,98fa8da1,7438fb88,eb96720d,495d22c6,336e0225,454268eb),
+S(ac0a10fb,b902bcf8,205b2529,7724073b,55fa2837,dd99edae,e256f7d8,7c19aac,7ed1aecd,d088097f,4ec8b005,892fd069,ddfc319e,f5bb3b25,2ab7c597,d775e615),
+S(1e9e3fa9,fa96a4e9,4f19c5e1,105ffc9d,fd7add4b,63c85ac0,5098c839,c0e851fa,69bffc28,5927b917,dc4dc5c1,3ceef964,27dbac93,a778a01e,227906d,6abf9df8),
+S(14359ebe,e923252d,f17e2320,d97a991,c16d7819,d9791f86,65142b93,4c2bc20d,3248f24b,d31f47ef,dd34853e,dc84f8f8,17403b4c,eb737d8e,c144daa5,2e5b65da),
+S(13363dd8,56df936f,35f1bb71,eb2fc4b,df232e76,1fd9ad9f,db3a6d6b,ae78e837,8160695a,7428e400,9fc88172,faa6784,b3a2d03b,71f89a5,89dd85e2,f5565436),
+S(6b71ab46,20938910,bf2e16ca,6e40a653,2c6c1b58,b258ad04,b1d51656,3a5520c7,2e72f5ef,4ab06562,52e224fe,1c670b2d,39630f97,f78ee55e,d1e01f5,c967d988),
+S(98f0a6aa,7590ffae,731263a5,b940dd85,6d0306c5,ae98bfc9,9d164263,ec14c21a,284bef1f,a5a54c96,f5aa7c41,ac50c5c,fa88c352,52b923bb,92da72c3,d3d7d8c9),
+S(78d11179,5965328f,cda22443,91871ee2,574c0886,f82e942,12e261bc,f5c3b9eb,83802a00,84e8b578,4450a423,1bc1a99e,6b9b545c,e32881c8,8487bc45,59604f84),
+S(f0856a2a,2b8b110a,dae99427,9af3da1a,a74e1b77,46d4ece1,f054bc55,905aa49c,1a80e529,2b4dd9ca,4785abff,edbbc11f,7111663c,3fdf55f6,ec3031aa,3c5f0890),
+S(2c5fc446,44d1e735,3e2b3374,89eb432b,f4dfaba3,39051221,4d279de9,87d6df7f,76c8ddf9,d2339112,c10ac9d0,5a473d28,cd066ff1,acd63e5f,b49bfb8,bb34d3cd),
+S(3cdff15f,9953cb19,62cf5024,4b8db26e,8180090c,d6baf7f1,f60e6184,73a9336,275922c7,6d4841c8,324d1ea7,9948765c,ea399a78,51939f80,15b0b7dc,9f22d37),
+S(d36724d3,91d3fc20,d1273367,97f8d961,18543b2b,dd40a77e,88813634,1c5f5d21,bc81050a,e6cac0f,ba1bf5e7,f1232d5a,a90d3b29,a0fce8e6,4dccb5f9,3e6a4d14),
+S(f91cc30f,acc100f9,ee054e7b,5aac0294,e50035b2,2e7f35ee,306a30a5,1d5d6a00,328094f4,26ac3ce,71d53f82,c3deb250,be6a44b,6704886e,424e524b,c50f3e65),
+S(48c715e0,da1ce36a,13cf4b8b,d5294baf,84a3fb08,b353e43e,e9f37481,ca2beeed,9d7e13c,f09c64c5,fa4a852e,206cacc3,8d398693,31368cda,1b06d242,2f8e26dd),
+S(74ca89db,72b0796,af9b6d5a,57296952,1edae51c,5a3e8a76,b1746b87,4ce9de25,c770dc38,db1a585,43367fb7,979d7016,15a0a112,61064596,ebb40e63,e41ec50f),
+S(36e77506,6284060f,8f8e709b,88b90125,f3c696d5,64bc048c,8dab4b93,40fe170e,b760473,d66e32f0,a716c1f5,ae462b0a,b5e77e6e,2e30fc58,e5ac1099,eb7105db),
+S(a0899b68,99176eb,77c78eb6,d4a7786c,8afe1898,d34d3cfc,5f286528,409da4c5,f57441f8,734c16af,7ca6c64a,6fbe557e,11463e6,6482f7ff,d46f1b91,eb2a3cb8),
+S(3503ac4d,9c9fffeb,d188d81c,9a92e506,a91fd15f,6bc67dc5,502b3ae4,d39d8e5f,dd66ff4e,40a5da17,3d3b143b,60534b70,33a5444d,98ed15ee,a6644e10,766b7918),
+S(7765e5d3,2ceb50d0,b9bf9a80,48179d59,9fbfa214,4f183c63,9de26485,a87590ea,2052dbf2,718975cf,3c225235,d2504b4a,6b9026ca,731939dd,6af8ca08,9bc7dc26),
+S(eeaf76ae,d4e737b9,900d4ce3,f39a880c,e060eeb5,208bf4ee,81b173a,dfd193e9,5490a02a,4ad8595a,6afd6612,48a80146,14366bc3,4c9167a,f290e164,f32eb9d),
+S(f64a505a,4116a861,12914f01,6ae52fc7,5499efe2,32178ce3,d653b030,5b0cd0b9,4a8bc675,8353b7ec,e89096ab,aaa42a2a,e8af1a51,2e6f9323,1ec71644,1a09ef3a),
+S(e73f95b7,b13f0907,53ba9ad0,c8b7f2ce,83ebea09,cffdf313,868a6ade,ac9c9efe,17986166,e766d323,cad73824,8eecb239,255d37ac,af72a56c,69594ffd,78281818),
+S(7d2f8553,a46fd9dc,6fbd149,abd07161,1f279250,d508b9c8,b22eb2c4,99145d36,b88723c7,462f5f81,f69c92c4,b204f499,b3b826d2,1c05ceb6,a30bb285,c4bc4fd0),
+S(32dd097d,96318d8f,69cea5f,f5db9476,33aace77,9059fb08,4177b8cb,36cb334,b078ae96,3cdc78cf,bd0e5bde,532a1269,a752c8ca,c8dfaa81,6ccbf4b1,2c3057aa),
+S(7caeabfb,be7e30e0,345161bf,8380e160,2415178d,314caa33,b3c99d55,1c99f506,9a449ab,6cc98b09,6487475d,cae39e13,7df05d2a,f7863080,393ac16a,802547e4),
+S(e5783a81,16e1e396,4c693fa5,919aff98,bbb954a1,e8503974,a27af353,3247dc86,d9d2c1b,633e2217,b66cadd9,dcff6880,be272900,e1c966d3,3726ae66,21860fc0),
+S(9c7f5cd9,c274177,1f00e117,a62bb197,d0a8a18f,2ad23261,eb04c91,47561c9a,6652063a,9b2a5abe,38ab7b50,5768a5d7,e098ac86,bf127b48,2c56a417,175cb5d5),
+S(fda48685,28c4f2be,58cd9b00,6fbe1121,ef009361,f0198b2,f5c56b44,1d28e9dd,3055bc29,fe08760c,ab624154,ee98a506,9de9dee8,c1db40ff,b972db60,30af98ea),
+S(ecf9f4b2,2feb14a4,14628d74,8f7e55b5,886f7d18,d107e4b4,f985df5,163c3eb1,cbbafcf,84606b89,63e4013d,3c730edc,da808338,3f681153,307929cb,905beb69),
+S(ee0ca18,25428e9b,a4c0be5a,8c9da473,f73c43d1,54a6fc52,176ffa4e,c05af36f,c8b960ec,91139b08,25face64,fdfa01fc,7390804,3c4f691,bf684dec,bb10cbb9),
+S(744d4c0,fb5536e4,99b0397c,8cb127f3,68865b79,fbcbdb37,ff9f9c8f,59372ebb,b9ae4d36,489ca0ec,c318098d,663fe8fb,aebf149,fb28abe2,15ef6f43,8e414a4d),
+S(910d358a,710c8e22,314b9eb8,394a7770,4549fcce,c98046f9,9c0a3e04,90510c49,5ba779b8,530e57a4,fec63e86,188d269b,6081fff9,d3f49bee,b0b62e29,540ae214),
+S(2434ca82,89853823,57d1f537,ef02fc12,89300332,6acc9c67,ca2f3b96,691e94c4,e4608778,311bb1fb,f88a771,f6281a0b,7f850767,af4b9699,77b1fd6e,8df34d7c),
+S(cdcebffe,d7c410c4,18cac7bc,cba49a59,b3ad5ffb,4c0577ba,19e25dca,c16fbcce,9745ea09,ddeb473a,a0b861f3,7d16d83,a8a73289,d278ae12,1168a6a8,d6bf5595),
+S(826f49bb,90a6b195,b7de613e,ccbd1230,930c0303,d88ee0b7,a7c40b66,cf576a56,230ee0c1,c1f86c3f,a79e98f7,e63a7a77,2ad22724,ff6ae39,ea17cf43,e2e44c8),
+S(d8bb1cea,9976a5a,ef1a5e6,57b70b09,e59cdf59,c67b4de8,9694701b,fc73c7c0,e76bb7a3,60759c9,441424cf,46aaabce,331e749c,80d588da,e3039162,e1a95d35),
+S(6f475ce4,d1c3ee7d,130d101f,fde3f250,d1a0d884,2239ef78,83d67254,80b750ed,13c5fe82,7c76f2c6,4739839c,4d8ab9fa,3271dc83,b949d123,532cd0eb,71809e0),
+S(d8d129e7,72635a5e,bff00c26,8ea30c0a,bbe3c635,d49818c,a3251082,fda4363f,4c4f8a79,d88bdf32,9b7a7121,7572da21,f89cfbbf,22547269,1362d5ed,c50b471),
+S(19aa085c,e17cd19e,c610d3af,91d9a263,3d706773,1d5f6891,e31de7bb,39d306c2,aea04c67,efe26,c46dd958,e8fb2d4b,726e003,2d33355f,e7d256a3,842f75b9),
+S(3712aa15,914e6f15,50ec12b0,f7dd6b2d,854d9f95,e86e7d2f,103b9925,dea23828,f5435b64,af251cc8,72c9123f,964c1c75,47457e1e,8c8942e7,852f4fe9,a9240c84),
+S(f5b9a5e4,db49b7fd,b00912a7,821b8c37,a89ce6e0,12286f40,852746f0,1d4ab4b1,7ea00e84,d03d8654,ea03759a,69a3b055,60af6f38,55dd2ccf,a2e4da9,f8820114),
+S(4ffbb51b,563605a5,eb7e784b,93eb7ed5,83c65968,1446a776,443cd436,e86d9f13,ff8e7729,e235ae1c,9d0ff576,5dc8763c,7bafc9d4,f3eae4b3,b7a58871,add58688),
+S(9b3fe406,55f0a924,ddb0cb1,48dbf03d,5da4f1e4,e8b7307c,6b261915,2fd5c3e8,46dd956f,583120c6,91961916,1a46023d,da55bc27,b0717029,748673ef,b6aa318c),
+S(86d8917,9410b427,b8008d10,3e481c35,2f089dc3,5c263804,ca86e08d,9da279ef,9aba2027,c3e47bda,aea2eb58,617ae633,83379235,7c233d30,e070115,d46ec081),
+S(414b3ae5,23a76abe,6ba71141,8ac0a61e,4915076f,a0c2528d,e20a0b5c,368d2245,bccb169e,3091f7af,bfb8a251,958ffcd4,6f0c8c5a,f1662640,6c7c9993,3fb8fdd8),
+S(7aacfb93,8644090,57ef8ab1,63bffd25,d8d43166,e8f31304,57779b20,b5da5998,257b5c42,2cc77f41,a6234a9c,1ae8d2f6,e91fad8a,78c39a6b,1d380a4d,7c9684be),
+S(2e51b2e3,72a64010,92ace7d7,b263f897,ed629521,d45d962f,2876c266,3e42d7f3,fbd258ad,28324ce7,6bdd4b38,44517a40,e5cbd237,3bdcdfb0,862e768f,8e6dc5eb),
+S(7721f122,e26e0fba,f6a33521,841be750,5a47dbcd,941191c9,432bc25f,56aa6e55,65e23e03,f03785c7,c81695cd,b49dee81,b9f678fd,55325ce9,dcefea04,f11a79b8),
+S(aa7443f8,435fd4d1,e2f1dcc9,bed52a07,66f3c62,543a0f3c,5ed7f593,e7933f9e,858be190,a656bcd3,5b377138,2c3176a,45e0a53c,8a346743,e1c595eb,f992c70b),
+S(23a3de7f,147a4ca1,bcd19afa,a8e71a58,27c7e7aa,c7db0c3,40d37b4c,e97a76dd,5361192f,76a37f5,d02e697f,288daf6f,34313d58,4e33344b,32cf1c0b,2c711217),
+S(ab65c884,73b68402,5929fefb,322667f1,bf02efdc,d33552ec,4d743222,2b2d7352,c2949d4a,af2c3ed0,f9284466,a572b1e0,34e56e23,4c928646,5427d60a,2f092d63),
+S(5d82cbf8,71aa4029,b16d09b6,ed1a22c2,6a94bc73,c1bc11c3,ae27042e,92fabe78,2610095f,c1dd2eed,adf1ecd6,a5b15b0e,5c714fce,87f424f1,5c198588,8b2ae3b2),
+S(e5338bf1,79e3b22a,306e3f36,5121f94d,cb5a072d,6acbedf3,87263387,7ee23090,a8ce14f9,36d0b486,3db6f79d,d10922f4,395804b2,37035103,b59768da,c1f8600f),
+S(e936f432,e5cefe07,e4e290ad,823d90a5,c2701eea,57bebac4,81b97400,b8964544,ebb65cc,15843766,77e34e80,b665567,19189319,2a298033,a4786974,5152b5ef),
+S(a8f4c429,d93c81c5,7284f59a,a3a941ae,536f7c2c,e3707973,ac3eb5b4,a0ba1ad1,4e39b9ef,5e1b885d,b3a8e72a,8c069800,fa539e6f,7f6ffb0a,4b22ac8a,66c8a83b),
+S(76ffc741,af278fae,39081989,d884b195,9cb7f240,d80c35f8,989310e8,64034e40,3df6c05f,12b2ddd6,262e3837,5c2876bb,e0f7b769,7d4cca13,be11c55d,cfaf6618),
+S(eed12546,217f1270,505f9235,b875f6ef,1ea38bfa,6e790cce,97d491a7,30683809,6edd20bc,75c215a2,9a162bb,f19b757b,ae5d22d0,1c7a68b9,e2e0b01c,21e4d193),
+S(8a975564,196e1add,526576ee,dd330a0b,bb1dd32b,85ae095f,79666907,15637aaf,5ba79be4,6db3fc66,c2f9666e,86162767,4c408e7,241ca378,47b8b3f7,ad5c3c48),
+S(87728750,a68695b5,a23a86a0,50e5a015,e721ee92,da191a77,a8945c92,e356f3bf,44746e19,eeef603a,9115bdcc,b8d4146d,a928e723,e1736c9e,a352e8b8,8bb5c6e4),
+S(83e9abe0,c65a51ff,c9e70748,35d1263a,5c31db10,6647e6fe,1ff9613d,6ddc6479,2b956ce9,1dc3fc78,b5d2c0e5,abe82eb5,d1fdd4c4,f2fcfed2,acbac011,4950e7f9),
+S(89f0cbc1,5c7c60e1,6503fcf8,8c70dc2f,b3f18eda,3041ab27,e917b93c,a837b60c,9b25624d,1e3d2dc7,7c4a1b6f,4daa6020,2246386,b2007dd1,efb0043a,300975b2),
+S(b64246c,e22786aa,8f269907,bb819041,dc564b0d,c6e14987,c5ac8fcd,a7f5a98a,68d776ac,5200e1d9,68088a72,af4458d7,85dd81f8,37f877f2,f4884b4a,3fb4d5d7),
+S(babdf57f,ca92a314,6884f3c6,509a27aa,c8793214,49f55c78,7eac3531,74074127,380fff63,5aebe191,3c6e690f,76045577,21f65949,6a1df010,32726fbe,ceba0038),
+S(92eade4,5d8ebce6,3685ed69,56caa62f,2f9eccd4,55f57bc6,4a75010d,20ac2df6,3b5babc7,16be9c71,e87bb0df,54aba5c4,3bd1f820,40d98f83,f2911eab,deb32573),
+S(ac69071b,c1bf2a3,b01f633b,fff39f4e,3c5376e4,620278c4,ed9d98d9,5ef7025f,252a56cf,7d6d2835,6defd43e,70e6bddd,6462bee,d37b5227,d7d9fd5e,3b95fc6c),
+S(f05e2926,848849b2,a7d9b980,c5e18d11,73db7422,4a3c476b,f2c44b,4d81b49d,59aea3ba,83cbdad6,4aba7857,1228acd5,eb574350,a9d1940b,68a4e495,2ded3c0a),
+S(468ccfbd,aaae8f16,b91f4,cf41ec7b,f65f5832,8a3543e7,106dedb9,be4896fa,bfa82375,5e234421,19a18f8e,d182c52,1caceef2,3811a874,8d30b143,5676a186),
+S(92452b56,58086172,625ae89c,48491669,e5c38d6,6280163c,397169,79578e09,6cc0e425,1da8e662,fdd858ca,e213cfb5,ae819d79,23372d39,d5a9722d,66543782),
+S(3e201b8f,ce5bc832,c336c15e,2daa7770,1835c00e,3852cb19,7a9d4a2c,a902e287,5096a11b,18ce12bb,27f935b1,3e664d26,2cfe6be7,33c8b5e3,45cafe32,9f0804f0),
+S(68ef4ac,e421f24f,dd628a01,56caf9d1,24bfbfb1,d6651f35,10ca5e48,5bfff389,8ebf4cfa,190aadca,b04c256e,ff0fbb04,bce8b360,3e308fca,fd8dddc8,dda15ce),
+S(d2e44a05,64718ff2,85c56932,8d8fa7c5,530977d0,56fd8090,972599a8,461b5d39,a16bc6e7,3d514070,702db8bb,34f3cfa4,12099e19,da5eac7a,f87076f2,88b88bb6)},
+{S(4bd266bd,4a730879,cb06d8dc,bd8e5854,c50b6221,d83e0a10,3afcb2a9,a64cca67,a4654a1d,835a51f0,5a877200,1768c549,909212e5,78e3b1d1,df935959,93650863),
+S(c275fe8c,b742a78e,7d78945d,34d988e1,202e1807,905ee89,d348957,f44c319a,88aecab2,7d47654d,df33617a,5fae27a2,8968ebd,284f5970,e0c39a2d,1e8039bd),
+S(9dbe3dc5,ca9889c5,af21701e,11c60d,2eb901f,d0981d51,faa8c79,8b766a99,26878a40,fb4f091a,7c82cbea,db50bd98,8ee84e91,f58cfdf2,647a9de0,39f614d5),
+S(4471b988,ed964b29,87a79324,a251f228,321523d8,1a7039cf,43af4c90,f63c3ebb,8196836,d28e4dee,9022c609,4f078448,72e70cf,c0b8640f,a28bece3,76c5aeec),
+S(a7f5ebb1,7f00f9c3,d51ee4dc,ed4d713b,916b8049,17604d2c,1c6ede6f,4a9308fd,954f55c5,83d49978,cbe0bd27,7b2eaace,92e43012,bc31d63d,6f8d117f,e1e80223),
+S(f80df047,a066a8b8,e1c6c6d1,12af4a5a,92894eca,d7946929,264b81bf,b060db7b,b3295268,6d708b49,73f0861a,3ba7256c,709fc322,9983c28c,6a76aecb,48032947),
+S(72a6521d,60423431,a29ef70,73467d31,f654034e,3618c2b5,b9ae057e,b6c85b2f,f2cd61c0,58988546,7197e84b,6ee01d64,d200a135,542d5a0a,fb3ad4de,507dc900),
+S(e1bc0481,d40b97ad,c4eaccb9,377674d9,ff106f94,9b3ac081,965b5332,5c981be3,a717e82a,d9ee2fd8,c07e3c96,a224c449,bc16032,3d0f0f1c,5e5b0f88,47f3a7d1),
+S(e44aef3c,f9651799,f07b2ed8,b9e86780,fcaf26e1,2fe122e1,edeee3bb,a45cd461,c2a599d9,cb14b881,53a18c84,3831c475,4245b403,840e8cfb,6442446,d412785a),
+S(3db8c67d,1964077c,bff351e9,ff770afb,5a7836ba,8e8916ae,2246c183,86e17177,1c02f899,1cc2b1ab,94affdf4,a302042b,db88b31c,5a516b4a,6d63a667,10e7ac32),
+S(107e06bc,96acffed,cafb1205,26c61c9c,7a67618c,d1d4a1f9,24f7ff89,febb8316,aaba34b8,7ea1b235,720b79c2,b84ad3db,af6da2ae,3447df19,77e0a08c,366b3cc1),
+S(b8f30382,716e92d9,7607837d,b162b56a,8b50dfe4,76f5f700,832dd55a,1e686a73,90a4b3a3,d11e9bcb,55d76467,a194f32c,e2fef47,1fb2408f,b71b9326,3c722688),
+S(a3d1dd0d,8a5181a,b06639ea,f4f3111d,3de0ebd0,5567b9ad,56df821a,59191b04,65b8e7a4,fbb854f4,3699e509,4a9da6eb,f277a0f7,a38dce11,8dc924f1,ba916726),
+S(44f3f1a6,8fd1c5fa,9de45857,7f320273,69cfc6ee,5e30822e,cec0605a,dbde28e0,400f764,2566009f,a7482bf2,7ca5b0be,1621b94b,ef42f693,417412cd,835c922),
+S(d2eafded,346b24ef,633e925f,74178ac3,5e6f4d32,173797f,1f51e12,2ca65f7,6d30ca48,b1f675ae,1e1978ca,6c05f542,2e2864cd,a58480cf,517960e4,f373d79a),
+S(d07404c0,67917364,7b2e946a,87c5cece,20be2c5b,2ba551e7,864b2b30,8a7695de,d685ad61,efc4fae3,fe60574a,8a20a6f1,9243100a,4bf945d3,de002f81,3b91c185),
+S(38936927,ecac3831,2417ee88,59318fb,724e758e,a175bd3d,e2247b2d,1a037a5d,da223eb8,71b3f213,ffe0abbd,8bf8152b,afccf3da,4bad091f,38ed1c5a,b90bbb9e),
+S(2e0b714e,f9bf7154,cc41d846,9fb99eb0,7bed9ad,3ad4a60f,b3e88fab,974ff918,8680512b,4a6dfc2e,9bece0db,435d4420,c745b611,8feb15e0,7f1ce001,6a65fdfb),
+S(fb42c1da,8d1b62dd,7949a6ee,1e8605a7,fc774863,eb4c7e70,8826aa80,c5b22aa6,272c0d71,127c514c,8b2905d3,d962080d,b5644bf0,25ae95ab,5d88b15d,596c7eee),
+S(5dd9e606,61ab076d,d7ccb699,caec20ea,49b5645e,96662119,15f679d8,1dc88e70,e17753cf,6bef65ff,b2739967,e64f7402,54562b4d,9e44c297,3d1e841e,ba2ca74f),
+S(5c8ac07f,466b9f4f,3d6f463d,54f16e0b,3661ff55,8a1ad864,bc86ec2c,29bd8356,f849f526,77b36737,586b8782,27a927b6,300ecb2b,cf25c53d,1cc18c02,366a9156),
+S(ba773918,50f9faa4,715a8b00,bbb3abf7,c78f17e7,917172b7,958e0439,7b974887,3e38618e,743539d3,469820d8,c1e127a3,cb2cc6bc,a386087c,ea7296f5,46ef4418),
+S(eaf36e71,7c23e7f8,8f1af63b,fc7e56bd,fab55922,122e868e,5456d556,eb3051cf,843239de,1e94148a,54a00e92,a649ac07,e8fb0883,7de8a3c7,405bcc0,26bec993),
+S(fd76140a,9e0504c,5df9aaf7,ce77174d,d64a8131,2cdcdd5b,8b82985d,db980f2d,7da81b12,d2836ce4,ee81c288,9db2408e,38f7888a,29282a3f,22a32cb1,5630c5f4),
+S(7db855ee,a3c28e7e,45f51166,f32a3af9,3fcdc75d,acab827d,3844cd0,b4e88251,8cf4f691,9dd33bd4,d95aa1ac,c9ecf926,4be5b588,7453e77e,9f69241f,9498d929),
+S(dafcba5a,e148fdc,aa431fb5,db8f4edc,f43168ed,5e381fa3,e5789c89,82f2a90d,a6c718a2,92c522a7,8dd15fec,e3ddcf50,10327f8a,1f601544,dcfe0e66,41404275),
+S(d7de414e,7ccdc7d1,e934b10,17980cda,fed701e,5b3c4a53,d8ec0021,bb6b7015,47ca5491,2d5fd9a2,37daa64a,6434d6eb,5a8e27bc,665d3cda,d3164fab,f185125f),
+S(7391420d,d4585846,cdfbacd5,63c47521,cd3640b7,4ba43c86,3c5c09db,d389133f,243bf979,ceb34758,84130208,b3a8eca7,bf695c38,5c60685,6785fd65,b1114e79),
+S(a387b4b7,6c49ea0f,9b5e20ac,79053b7,a7391c3c,984c7e0d,72116ea9,85a11f0,fe7097d3,ab64e202,e61cf2ac,27e506f1,78bb534b,1bfbc8a1,9c435da6,b13776bc),
+S(49df7215,bd8ab08e,21c56507,b6e57425,bc4c443e,ff0a49e,ec4ce0ac,4caf132f,9f6eed66,1066c373,275d82a0,4908193b,5477690b,5796be1f,533f67f,b9fa18c2),
+S(ebeb0f66,1a66ae8a,fd0b3442,45f78f6a,cd414431,13bf03ac,3c6f5641,b5a62dd8,fca3f129,76d11af9,81f6c175,5b9015d1,91dc21e1,a91098,3528516a,a8a22a09),
+S(367a8c75,e4fac5f5,55f2f48c,23d3c344,ca4bce60,b188be03,5461d077,af8a5e9a,8064dcb0,e3c46a0c,3cbfeba5,20b18f1a,4b7171f5,7db2dd3c,829d9168,f9275792),
+S(d3e2eab8,ff9af1c6,5a881738,d52ee173,7baff4c9,31937318,287cdadd,46ff98b3,f7c729cc,808f4760,5757fe5d,c150ffb,ea4bd6d2,78e3860e,56b45add,bf54875d),
+S(86c329eb,3adca5dd,7e840133,9025cd69,461367b,781acf0b,fb2f760b,6b56df9,6db54fd0,401af8d6,bf94cb4d,c8230161,ddfeab22,2c6802ef,1640334c,bbafe470),
+S(ac9cf2bb,fbbb0be7,8fe03b3d,5b0aedf1,3d36ec3e,d8748a68,ba873bf7,3eba049,cafebc22,ede77a8e,fd3926ab,dd69342,b3226271,9a7719e0,540afa3c,c23d60c0),
+S(54f1d996,ca39664,f03ede34,3dc394c3,aae4b65a,e75aed69,1427e2fa,85995d22,971bf54,8445fe60,714cf038,6c801979,e6eaa1c4,d51aba97,24b3491f,5b490fc0),
+S(a01cf61d,b77a9519,6b8d0f1b,10f087cc,3689ef3e,56e66f4b,918baece,8480e8d0,d6da0432,2822dded,838373e,70550728,1a1ddb83,375944e5,4559e360,165d6b81),
+S(9c971dbd,7bd6933,d4d4c918,ee7c7236,45fab1e6,1f50f54a,5474c711,8334e8e,767e56a8,e6aabede,53566eaf,daf22c38,b2f949b6,4dcf006e,b24469e,c2ab6e82),
+S(db08258e,4dfa75a8,940c111c,1691e148,42a106ae,11e6f266,8a6bd70f,fef3624,9bd0de5a,f568b6e,1d05bc6f,e6999245,3a223e91,61311b7,7e06cd6c,faa956f4),
+S(1f546fc9,2f784ca,638a1c8b,74664baa,d2da0745,199aebbe,9fd1d65b,48bcaf91,5470251a,9b9d5a79,be198076,541ba922,d7692ebb,f65871d6,e9daf078,52428dd1),
+S(a318a92a,e36427c7,6c8387ba,d4420b29,a8b0f583,76d6e049,e70b9a3c,55b5d799,b38888d9,574e6cf4,991d6608,ed6918a9,92ef5a1e,90d405e4,da8280d6,74f93b2b),
+S(84c29d90,417579d6,6124a754,aa77b711,4758f383,20a395b3,44b0e547,d8779b2d,2957cecd,8766c432,49ccc288,c6f6b005,b2726bcf,9bff51e6,d676ddeb,ebd340dc),
+S(4109a1b3,c740a287,5b06f841,def2cc2e,47d82029,bdbdedb7,7a225298,e3f010a6,334cbba3,6526b308,ca45e487,d10cf54a,fe229d66,e3538833,754c7058,5f9f368),
+S(99cb215e,9ddcfba6,bc703e59,c3d3abc3,9b0824b,ca0a5cb2,35cd2a89,3fb2be6c,6e1494f4,2df30735,45ac89ea,ca3834ad,553bbfd8,ee0231e5,c803661b,82a16cef),
+S(2bf5a599,18959366,e7740ef9,8e2159c9,28cdcda7,f38753f3,9e83923a,5121b490,7a70ee9f,387e09de,6a8608bf,527e9d0d,75903644,c4efdcdb,916f7cf0,bf35bdf8),
+S(234f1de2,aca81510,1a9e8659,41851280,8d8801df,2d63ed83,e7c9899f,6881ccc5,d43dada1,7029e6ba,56fd9c99,29810f3e,c8bd27a3,5671781a,283abb97,12014be5),
+S(7a691d3,2b6d605b,c04723ca,a6d7219e,39d73fcc,e3b4e4ce,ddde027,eb31b918,9e869d3f,d4802e57,34969854,12a84c77,42dbfb65,f70d2d4d,a7ddb858,f68c88f2),
+S(963764d1,75a0cad7,8e87e2fb,d3f32dd3,e45e57f9,ccad6560,dc58e548,8bbed05e,d5faa558,ac6a9a20,74c5166c,72c15cfe,b509828c,24a1d967,8aeb6dff,5eca8a7e),
+S(9d250071,90c38bd0,64f0cf4a,dd0809fc,95c02956,9d199840,e6d947fb,271573d0,5eedad5f,5930c244,b3fbec61,425da0cf,6d0eef25,87e84f42,35f08429,9e38d8a4),
+S(83b30514,e1691531,5eb6b9e4,eb1affa6,533be8cc,c8af829f,5829321d,cd3aeacd,7eb7fc6a,e43b73e3,1ff48193,947eb01d,3029fab,e51e4344,a278f142,9ddc9752),
+S(4365f9cb,8ea699f5,284e21bf,fd4184a9,685c6b9a,c07b555b,eae2b2f1,838d9cd8,4b0c0ca,4fbe4088,e1c55eab,f80858c9,6c5d3766,7af397ee,ffac81cb,3e2d2394),
+S(7bf3588a,9d51278d,539b7e72,19e32b94,336441aa,3c56db9b,d70d1d13,4425ad3e,442a5e17,27706843,fe43b75c,ec629876,2b8a81ac,26f71371,ac78110d,67d9f54c),
+S(bcd1ea95,621c195f,b37f0ea,aa7c1688,35e3ba46,e1fcdf8b,c6d4ba36,9dbd46cd,799a70c0,422c82ba,e3790abd,22346df0,8d1e80ad,9194f70,f94f9d09,50b8719a),
+S(9eff139a,7e728eae,57480c55,b5a5752d,83c4b92a,96b72c98,ea7fddd9,9cfaa8fc,656a5a97,1de87e12,afcba7da,f6ee5020,7257f604,5a909707,b55a83ae,ebae5f62),
+S(16edb231,17a09c6f,bc1b0142,c06d9f8a,ce125101,a48229b0,a7605a87,f3fa59db,1f41d18d,29b720e8,54cc7876,d682efda,97d27e31,3f66eb89,7e23d85b,e160c9b2),
+S(890e1604,5f35d432,fb62b4b1,aa8e8aca,b08a5aa6,edced104,841ee569,f8b0dd86,7970b632,a25643ad,df338a59,4f974cd,701da359,8b845ab,bcae75b7,f2168e19),
+S(630d23c6,f5586b45,59d68f49,6531cb74,e2075ae5,3ecee2d,3c1c8ac2,b01362f7,5a9c6335,dbc506fc,d8abf476,ee5f5437,290cdeb8,9c3ace9d,184658b4,67478c74),
+S(9348ad11,53e90953,65a13cf5,6cf05d66,a69e509d,ccb1be8a,5a985472,f5ec3909,3632b1da,48e2ce33,97d25cd,6fa6d55a,9fed786,9a7b9bf,d2765af5,81af7206),
+S(e507b132,8614fd05,e9d8fd9b,5742cebb,6e7301dc,defeedb1,5f79022e,79acbbc3,e09d5d09,2eabf8d2,d0186df3,5007570,e9e85f22,269e0342,183bd375,a5e326db),
+S(81727248,d85e0f46,a8e4b09c,ee17658f,557e1dee,a7c9c12,49012f6d,76f5432,f1654495,339b6da1,981e8e87,eb95d1dd,5b62ba06,67ce8a2f,889081bf,2aadf),
+S(54f7d9a1,806fc37b,668a97ed,286ab04f,a2a96f90,aaa92118,4bc0034d,431c5d18,26f8efb0,5bdb0263,2e7561f3,9f56c5c3,2f41c8b3,7771ecd,897204f,33c1da14),
+S(75b272c5,88900750,4b139b59,f3188477,56aa22fb,b1981bcf,74491b05,881a4be6,1b7ef1cd,70dd43b2,851220bf,b3989bf4,66e76fc3,e9262d89,de46327c,30a73c31),
+S(9880a12a,10a9692f,b542943a,ce6513e1,bc95fb8c,618331d1,413657b7,13b2a811,38e33a55,ef745420,98d92ffd,17a7882f,b2e9dd69,40deadd5,8dde4a,8c31dec8),
+S(232f85b6,f3fb87cc,fac4c06d,bf585c3f,c5ff3d67,114f1187,17d68ab2,af6e24ce,44981280,9c5b77b3,ea4d6b1b,e1872fe9,c295596,839a135c,443a37c8,d0a1f405),
+S(e7e0e5ce,292f1386,3f186534,200727a3,46e60312,76ec0831,3fff6810,6d378912,404fd06c,68a99234,9d86e1cf,c2aec52f,bb101169,6940c961,1c052d86,ce87cb6d),
+S(7ceb4d25,1844992,86b50e20,efc3bab3,a98cf466,e22c4018,eb22a97f,51a2182f,4cd70a08,609fa1b0,d55bf37f,2be739ff,8af001a3,190b7b4c,9687a3a2,949e99f9),
+S(bb22eb38,cb29566,57a046f5,2f97d3a3,83bde5ca,e0e64fc3,6c5d28b1,be701695,574027e6,92a28c07,9fa92945,cfd36c73,8ae59c35,c869d17,d460f9d3,d12f7ba3),
+S(e9803291,3c7e0c3f,4e0213e6,a6488dc3,f5c0dc6c,9246b655,5dc0adee,978ec5f8,b3bd6f23,bf63d3f6,ef4b4e45,6ea7d58f,47136aad,da5b1de7,765dae5d,b4b6986c),
+S(e18f27f7,f8a95e81,fe58a13,329d12f1,4118d924,2bfbbfc0,f64eb2ce,b233c15,66b93d85,a1c7dc3d,cdfc3970,ff0f61de,b6b0adb3,ad8b0db2,fe766606,3c4630c8),
+S(e6243ac1,f0b1d402,363b4b37,8ca320a6,68595325,a1d0572d,38a54476,a107a2d6,5286e1b3,54a3e264,4d9c91ff,cbd141ce,58c8a6be,5b609924,5821dc49,d1e92df1),
+S(a77f0928,c24f4ee9,14a84684,568ca975,322ca71f,dc78f389,9aaede60,9a3df1a8,1cc82bd5,7d6eaa18,a05e8096,441676d8,d66c1584,af2cae0,ec118bdf,bc32272f),
+S(e79c0aa,51e9fa1a,c6e330aa,b9877118,ff672fd4,46f49920,fcf14f26,d74bf10c,6d952340,708203ff,109a0d,7dbedf52,866d204d,8f5c9cae,bed7c724,4d726ac7),
+S(6f5ba3c7,202c796,c27d342b,9e5f62e7,b3962a71,7fda573c,87d30071,796e592f,174aa4c,789ff3a4,1c5a42ad,a3bfb2de,ad3a5351,cd9bce90,f983a9d4,e897f053),
+S(701c7dc0,9edccc89,530845ee,6d76dfd0,ec06a842,49ffa8bb,1f5eccee,c8aea899,1f3a2d11,a53081ce,6c326977,911ed535,2de2df6d,e3ea92fa,7946efe1,a2afc215),
+S(3c82e97d,f06da304,13439ede,3a56a48f,c4fa7c6c,9ef2a74a,cd80e58,3e3e4104,1ec4e9c9,14dfe93a,13a91edd,5f7f63d5,fe60ff4b,bb271624,d5ea48bc,7833dfd9),
+S(88d3451f,3998286,2cc3b867,afd91cab,6ccc737c,4cf1f41f,1c0d702f,a2af97c3,2e3d51f9,141c94a0,1c1907e1,c5328653,a67e80a2,80883f2,2caeab79,70203d05),
+S(dea9dbff,93f8f6f1,714a49a2,e9154fa,766b9627,e64049d7,4363a542,f30b0647,deb01f8d,91c3f7f0,ccfe5fba,a5525b4d,b10561c3,aefb11eb,6e540844,2813b714),
+S(7e715f8b,68718d16,ec601550,f80a7f91,d1f1f3a5,ec972755,66ad93d6,af205104,9c79a5cc,3226c625,d734b73a,f34bc14d,a5d5007d,ecb402af,b815bf4f,18df8260),
+S(6bfed43d,a9196990,c03f788a,9b27d023,12394f38,78bc6d64,8923ec4e,3db64d98,672d59b8,c2c40ba6,4c88e516,d5602983,7a9b328c,6c28701c,80d47927,9590a913),
+S(177bd160,1c53637,28e341de,4e7f8a22,9a561665,c1548ace,7e6376eb,dc790009,17585c2c,9a90c5f1,3a97fd24,b7cd0358,762f1217,e4ce2bf,832c008d,d004186e),
+S(f1b16245,4181187c,f5251139,8382026b,ac7c4355,ec7cd347,9f83a66c,db63db19,5d261ed7,3c9611ab,d983d74a,9ce05bbe,cb32b858,32d00e87,fa794482,41fa70dc),
+S(aadc4097,ce6fb92a,6b77b5c1,abfdc345,85982877,5c37a522,39518559,363d2fec,825fecfc,6f11154d,89559a63,56308d34,5dfe2e8,a439ed20,eef0edaa,3d506a62),
+S(ba354351,d81b0113,a215ed8a,3a900fe9,3484f35e,36988664,8c830d79,699932b5,c18c12fe,9b2fa86c,982ad09e,5d29475d,7a0b7f93,865e8300,f215affa,48bcfb66),
+S(ee1f269,ab870c07,1ad7d7d5,a84b5c64,140a3bdb,68f0a5de,c4a80c52,9bc7f6a2,67f62848,f082c3da,69056b00,91ddcc2f,7687f630,7f4044c8,8196a368,d441a44f),
+S(9880ef57,5b111cc2,c51b9b19,d3c154fd,30d8b967,312e30f9,2f210a9c,13b8531e,af790a63,c44bf477,8884f95f,91652c14,f1ee73ba,7c1facc3,8ccac2e9,8382b83b),
+S(996a6793,873cf119,f77cb23,1c8771bd,6226d90b,d319c2d7,d9793a30,4a7686e4,983c75e2,f0ef1d60,dd60ac8c,d3df6e09,ae1a8da9,17b1c63f,f59e17c2,c19a7d38),
+S(35faa9e8,7fefcabf,3aee306b,a88cb110,1514db47,9e559e6d,f8b995d3,1616395d,bb7560b9,fcdb7e2e,7522e5cd,7bc42236,79d1e546,a7f7c0c9,44186043,7dfde05a),
+S(70d1471a,52f0fb45,50d2c644,b7925895,5e27917,13ac9a68,2b5351d5,333b3fcf,a84cec71,622fddae,72f4f995,2585ea84,c15968eb,666573bf,254d2144,e0a523e1),
+S(ac990fcb,477409e4,442a7635,64ceb28c,26adc45a,b5b99441,e9d7219d,593ab4c,3f3ba91d,c08bf75d,5e764b72,d048fff7,fd6ee3a3,758bf5be,d9a7da1c,6446e15c),
+S(f8f64b95,69be42f6,1567f537,d9e60f6b,f0608f5c,d8ad8567,ccbfa02f,34b26208,d818300c,ee7da0af,1542dcfb,9a62ebd6,86c1bcf,d9e5f41f,31f79892,fbaeaba8),
+S(c24cb8c0,eb923c9b,d12db26b,9473982a,73099bc8,1f0ce101,49d153df,e77bd5f6,7f47cd6c,123cdb2f,f9772b09,9f44cd9f,643929d,bf0132c1,4f9df2ff,cf4ac056),
+S(5281bd2e,f6089825,91e8310d,4d626c4,4e68ef80,b9e6abdd,6a0af7b3,4b957f1d,eb9a808d,97ae906,b029a24f,b600712e,3cbd406e,27380c8e,bcf3287f,fe1e2cdc),
+S(d525c063,fbbc8ba4,dfed492e,cd056ce4,fa60b04c,25c850b0,70052ec2,6f592be4,8e5b03a,9268a809,a86f3842,10a4dfb8,1a5d4659,c2695723,db7982b8,698cb778),
+S(b0a5dcc1,3b377072,9ef8ba6e,b0550b3c,968b4f1e,2a2ffe0,54a89eec,ed3adbb2,49865cce,282b337e,14ab3f17,4a07979d,38649ee1,951f8aea,8a6ba657,8bcd4356),
+S(ef3b5acd,4bf27694,cd96f70,7708eb1b,26f517b0,37d44194,ef3aad38,98d53812,db292747,53593713,1c0a9be8,5b020ad,34f2040b,3b60bf65,638f4561,709889e1),
+S(dca55235,2326841c,625226a2,6844d317,adbb5cdd,a08f8931,68920aff,82d300be,f48441b8,a104131b,bc1a2487,eb3760d1,8b60c53e,70b693d5,b5db49f,485ee525),
+S(53a47db,565ec4e7,255ad4f7,7fa28644,2ecfd91,32a0e8ec,6e4f119c,2d090044,1ee6a228,b1615640,83a62c49,f3f92c9c,9d6d46d4,6c7a277b,7ef7705c,4a20a6b1),
+S(8187e675,78d1c19f,c1624a5a,386fb1a4,2ce7df06,8487baa,f20b0975,6a40ce91,241bde96,53091ddd,49423bef,e6a1ca6b,b75e312c,46ff803b,bb709a4e,25a691f),
+S(3ebd8f13,d92881af,1a43223,335c7eb0,7958b7b4,e5af5cfd,f320228,64eb7937,72b3ee1c,bf91271c,84603d64,a8feba9d,bcbe4626,57c4d084,d2d3c8af,e7489c58),
+S(90de5cd1,b27da158,a73ed3c1,f23f9390,9e281c65,6d50f8d1,b70294a4,9f4bb4ee,1619b365,238cc8c,be2b62db,ddc24381,4ecf4095,8617ecfe,6315f8b7,a1d73b3c),
+S(e44c5ccd,d2723f6e,c44ba386,3337d911,15a73547,c2dc77bd,bfaa6e1d,b4ba3d62,f150acd1,65fc084d,b8b442e8,8a6fd033,5a8383df,9b2639b0,3248a1b,72828129),
+S(62eb6bb8,67fdb48b,f474318,99536489,437a7086,8f27287d,6ad56996,31d6c845,1014f43c,517b3a80,d2cd9e4a,7d76693f,61afef58,4ee80ff9,8d20bcc7,c077f7ad),
+S(a44ce0ca,a242039e,3defa271,59976e2d,4bc9f1b,10e07b83,4aafee6a,7ae93066,511dd603,d264403f,19da6380,dd470cd3,2fcf656,2cf00b3a,d6a209b8,b244b070),
+S(1f1be63b,414713ea,7060e264,ca58dee1,76677033,66002c72,fb8beb2a,a661539c,ecdfdf49,a771409b,2cc03f7c,8640cb98,49c00a82,1d40d1f9,586763bc,35815ab7),
+S(30a76480,5c483013,7bbce984,10a2c250,4dc2250d,ed82f853,7caf58a5,b52bd8b5,2edb011b,ae585fce,da2e20dc,3d840c5d,704b8ee5,8578c573,d3363a0d,83168c7),
+S(3d6072f5,dede706f,593d93e7,73e3555,c7ab31f5,60a83985,a575294d,1c73d135,d8348521,802df34e,ffc3956,498b0f25,91ef05cd,b71da7,20ce9b3e,b9de6db6),
+S(12e42941,44a1bb18,e7944b3d,846429b0,cb9010f4,b42a31b7,e7642b73,520d2ec0,bd7a8a89,f5e1d98d,adf3dd7b,9c8b2bda,5e49f178,cf51796,9bb99903,43901cd8),
+S(93b9a4b8,bf35a92c,1f008623,ef3c864b,79de76f8,5d52c4a8,67d24e5c,970d3776,10d1fa77,43bb9211,76801b67,5ed9d304,8fb25b31,65a0f544,52709615,965a7b0),
+S(29cae9f5,688107b0,d7cd3686,d30c0dd2,1f65bfae,11172330,7d21b8cf,9d95a49c,dc8ba474,da42ca9e,2325123e,1dbf93fb,c25469a3,381b6833,437034e9,2b6a20be),
+S(d1ecd9ae,8af12732,f9423f23,f261caa0,c75a7e,58e0ab83,7fd47568,d3da43aa,c24712cc,49a9a669,e0e46068,60a8c0d1,969aaa66,a436f3b9,1c530e3c,6c0a71e8),
+S(fd43cd42,67c4d07a,d70df093,863feb4c,5f82f94d,c81c504e,f95dfce4,4092104b,d68e7968,e003ab0c,ab98beb,796dea02,e854ce39,ecd79ed6,53e001cc,3be14c78),
+S(d758723b,587c3af3,52fd7d50,9ef63ac9,efd9235e,a8c8d8d2,41de2898,73d5fe94,43094c5f,1c773577,29b9638b,d180a70,b3c9ac41,8e078dd4,99f5d2b9,1f02edd7),
+S(e8fbc8d6,51f9828a,2ec3ccb4,9b7fe22e,18604125,7c975ce,3c01b362,d2897e36,1c306170,f2e1fc7b,ce0d9ed9,fdfa39a4,99d6cd36,bb04716e,e1ac003a,d7573242),
+S(bd8878bb,f050eb0c,bc7775ee,a3e991b9,5e72330b,fcba7b3f,cb7dcea5,f1464f2b,c3bbec0d,e87c5a17,5370e6f2,f98b7adc,3538a452,e04ba2db,3e193ba2,d9d1ba5f),
+S(e47e80c0,bfd82bf4,8aed911f,236a7d96,4f370d11,c5c10912,3828e3dc,e87e0b3,1856149b,230697d0,1fa39446,9434270f,d0932196,aa7e4551,faad127,b0d22d60),
+S(224963b8,57e650e1,58be4862,bb70d566,c2fbc28f,c6892eb7,6f04135b,7a91761c,28e62c6e,887010e9,7eaecc0f,b67e5630,eb2ccdb2,f95d0be8,51c43db1,54ca6e61),
+S(b500417f,b75ea406,cbbd77d6,48ac1e45,70703605,8990b340,85856564,a64af549,daad3ad1,9579c990,a7e061fa,f98fbd12,5678de87,ca16c708,7130dc85,abcf1bee),
+S(a06e6152,bf4d9aef,d18fc0e3,6e0eed5a,a35b316f,7db75007,ca5a175f,3a80cdb3,6faa9900,6bd783ed,d8c207d5,95843ea0,2819b277,7db69ae6,908d7ef4,4e04e781),
+S(179f9602,2ccb2620,3e94101,c9bc95de,5eb6d3dd,8a04f18f,17f2ddf5,1b0df5d4,dccee7d9,30f31ea6,3903f801,d4712ae,ad5459a5,b0ff2987,b3b1f454,650180a),
+S(40312ffd,1e4508a9,854c3f94,ffb878fd,a5912ba6,5ea241dc,ea82cc66,e586de28,e111c511,5399357a,eed01d11,18ec409b,febc525e,53cee921,d1dd0455,d01854d0),
+S(a29e24d4,c72bd5ea,98630030,a31150b6,5a1c9676,d661ba8b,19d95d5b,ccd7bf31,a906225a,120eb05c,3885e734,75765949,a4da7e4e,a6aaeebf,2f23a011,7aa8df9b),
+S(e2e4adce,eb40ffbf,f2a31a97,a34e5f4b,9dcaf149,76747838,3fc0bcb0,43139bb8,94ef60ec,26dfc1d7,dacdd451,2f8c0a0b,ccba1b04,7ae3c197,46f3c234,54a007c4),
+S(2a11ab6f,7188858b,e0c8c08f,22b4bd83,3c864a74,4c43428e,2c467d4f,a71118bf,27f83304,ae9e599b,2a212050,c8c363aa,34ae58b8,13912bcc,f6df669,f01a690f),
+S(23cfaf4d,57e0e9ec,a8d180d4,568016b9,4f896063,c6fb4e2d,7cf909b9,6ae048cd,62b11d6c,2c3f30e7,655d2c86,8c7fea1c,391d2982,5fdc92fa,f2ef3e5f,f2d65587),
+S(cc112ba4,a6b684c0,6f95458b,18f1d41,d0c90022,1fb6af39,203efe1f,f32a07ea,7919e449,eb1720a,49f66e8f,fb3bbe76,4a5e23f7,798f47ab,281d7cb8,9409465d),
+S(4d9ad572,bd2829b8,ab98f048,88ec4369,b577846c,59e70414,7128c4ae,17159456,4570249,6405ee85,4bcf1201,9b56cef0,136a4cff,cf90ce00,52711348,a459e1e5),
+S(dd32548e,826e2aa9,faca198e,f911d0d,7ec33ac3,41f625c6,34c59c0,ff3e3bb9,5526048c,fcb29f30,ac84ac24,5230b0ca,a0e68e88,ad6c3c75,544bb137,4b1fb47c),
+S(c4ca7cdb,93519cc1,7762ce27,249e21a,e2bc5dfb,727a4e23,a38f2938,e41e57f,8233f977,3aeb917b,c65dc1d5,a539f62f,c8403779,f1edc4b5,781e92d8,fc8bc802),
+S(a1e1f0d6,2a0d616c,ece08d20,fd529521,c5872f8c,8cda2bf1,a679af71,71bc46ef,68a2a818,4340b803,c7641034,fd609333,180501a,612d3b6,c66754c8,16e5368b),
+S(d099aeb2,a5fae253,6a953441,7439e745,35fa8236,96731b6,cd327332,8771bb26,c526ff8d,f32deaf,b7080667,c9d74257,f294355d,4cd10414,e8e38fb2,b3722eea),
+S(87fbfc7c,ef2301a3,b50c3bdf,993c52a,b2c32ba2,893b8d60,19f224aa,9554900e,aaaa988e,cf77f228,ee4f42ba,a7ef4a64,ab475e3,3d708ee8,e2826fbb,cc3b92b8),
+S(4b440dc0,d6673ff7,cae6cb6c,5ad6d54d,fac23da8,f8e1a570,82fff0b3,eb165493,35841c69,5eecaa5,1499676d,a97c197e,b60fa733,281823a4,2e0bbd8c,ce44b2b2),
+S(3ccc6802,cc5fd5fb,82bcc9d1,4e2a2765,f68da87d,7fab7e0,d1c05c68,515fdb2a,3be7e4dc,fb8c734c,d9f0254d,afde26fa,1772f094,43420bc0,aab9e29a,83de67cc),
+S(e98bc0f2,d6f9e71f,deb01296,d12a7a0d,b617e5cf,fe2bbc9b,ab166eba,e1a59b85,2fb5ee36,2c01c58f,9a113e18,e03a9e49,5853f5fa,a11053b1,73ebe019,58710ade),
+S(5c0bb588,69cb2007,86f2d549,f4fb4146,5656739f,15c8ff95,afd057f9,5db895d2,2c69dc05,b3b5edf,a4d8c3f2,41afe00b,b67a29da,4f1a1301,83c80876,21ecb08b),
+S(9c8ef657,972b5330,caa9b64f,7d7c817b,7c0b1047,ae2984f4,3d4f4085,3cd01267,98a3630e,ea6b3bda,c9e9df0a,807eabf5,baa9b920,524a7aaf,2e1e9f8d,8173917b),
+S(43b18341,11a7d2c1,d5341b95,4972d28e,e734cbbb,e352460b,75fff2e4,a9921035,3d32e375,40e33c0a,5d4eab42,6849230,22a7c560,3d47e789,30022b40,8fc99f96),
+S(89d86eab,b52a84cf,9e53d7b5,270cf9d8,198f032a,e43a286,e18fbfbf,3d0e59ee,bb7b7247,bfb01ad5,fe143967,e5cfa75c,d00a54d1,83322fdc,63a7e29b,5d7f47db),
+S(567061ea,2b03428e,d8430f6c,5f03b469,cbb265c,ceb9d999,30509d62,25805515,ab9917,15fcc760,c9aae0c6,5862333b,b886ff7b,b423f80a,92ff44e7,f55f0259),
+S(50e830fb,6efa74c4,5460d96d,bb9acb33,df2a3ad2,83602ddf,214d66d7,967bb35e,b5914d4e,24073b29,31937f67,58d69c46,917a70a8,213617fc,4f669622,401b17f9),
+S(2bee6cda,ed042f5d,c28bd7b2,a9266c1a,eb502ded,379d4eae,21c8810f,7f8dfead,6bc759a,a1a950,e506c504,86392bf1,4c1d9e8d,c212192e,6f99d274,c1b82754),
+S(c4482ac4,508bfd79,b4b6592e,d72b5a6b,f58f1e08,76194a5f,9829cc18,a7959fc6,e99ac34a,91d46cff,e9ab0b74,883fcd24,cc93eab,abfd4873,14920417,1bcb7b54),
+S(55bb94a8,70858f43,2753df21,592479cc,32cd6533,f5c7cc6b,73517cda,1814a57,93bdc1b9,8b64d43f,6fdfce00,b8ff652b,ffdc2c75,afc4c95c,ed7644d2,86dd4224),
+S(2e17cf48,bbc6b561,3fb740f4,52e2f03f,64a01a9b,bc770df2,b0a4d8a9,71e93fc5,efa5836e,183e1d1,b8e02309,5526ab9d,fb1fc046,92e1ebc,56a6e3b4,4f425c4d),
+S(86fa5013,f9928726,79276993,ce380d50,ac17d961,24b48c6,b68f6565,6e39a418,d66a981f,95bf103d,3ee373b9,af27ccde,8fa454b2,1277360b,995a02b9,b7e43b24),
+S(6990a5e7,d3d4da2,48f4b621,4d8d3d04,78b9bb36,6647a0d5,3cb66412,120bee3b,5a75c630,d1551aa4,ce9a8020,4ca405d6,dad9291a,e28d0fa5,e14e8df1,1ff79727),
+S(1a901e6d,2bf440fc,97075337,b6188f4d,51aba0c1,4207ff29,83ac6eca,9312ab50,6a40d2c3,c497f8da,cbf7b079,7cfa1eb3,80fe0d6c,f3b74a88,7ef912dd,3d8c38f1),
+S(37d9f2ff,3f14bd91,3871eda1,c5719b8c,c6e92717,dc97b308,5b0b6890,eab8284,84b05081,cd3c21e3,b36d1766,f133284d,d4abd71f,dbc94baf,33d297f3,a8a238d2),
+S(8a430121,8acbc3a8,44436a0f,c476ed74,3548a445,8deeee56,55717e7a,1117166,accdb0c4,aaed4b97,658b77b8,af83248c,85456cef,ad368565,4f73b013,3a258e25),
+S(452e5c3d,9c95fa1e,f5b9b508,8a2bd2d9,ad1b6871,5b07d4,d096e99d,22c7fa25,ba4d9d3d,49092858,c6a2b44a,56586ab6,8cf1d7e8,f92a4d35,7b1b91ba,509066bb),
+S(dc5d9da1,efd435cc,70c5ab24,994b0fae,75e9a628,a71d1794,ea620d18,83facee,e16e5e82,91f44b12,e6512645,d9ef73b1,4ce928ac,3b4fa30f,bb2e958d,28f1263a),
+S(ea6aca7f,b52088bd,7094764b,bcc2c0b6,9ffd5859,e1fba329,4212b0ed,7fda33db,d81cf674,4ffaab0c,71e43cfb,3c1b7ff1,480024bd,1691eaaf,cb5b8174,af824cfb),
+S(2bc369d0,ae283c1f,ca38ee72,8a154d9e,62935f97,45f3f043,51800368,651ecca9,b469499,33f679f9,5d75cfd7,94dad8fd,b06d91ad,8c019dda,a819261f,1492eafc),
+S(c4c52452,80983e50,4a599a12,782f006c,c7a5fab,5b782d18,b68a7143,ef1a382,a23e7df3,e1443d5,72278fbb,5ce63ff8,b7ac020,1544f21,3c9fc2c6,6c7a7b69),
+S(42e4ce90,1240f01e,82f0f4b4,6ce1a1ab,9b26d339,b7a4e128,886031e2,6e6d08cf,61ce91e3,b05dd18f,6089cc3b,9fab7541,d23725b0,49bd16c8,9e468bfc,5af82be5),
+S(288a0ac9,72a2333f,f29dcd93,faba3852,c749763f,4fe88a79,601ad6fa,7440836d,fd15dbb5,26ccdaea,7a02807f,f1edd91c,28409802,8f84eb5b,18cbd5bb,1bcc5daf),
+S(1f9655aa,5434b9b6,e4b76058,6557e2c6,77df18b6,1a732003,c9cfc21c,97db70d7,98366446,9229d5b1,67bb328f,205260d5,96930a73,8f562c73,707900b1,52b15632),
+S(a509bb96,95d4ec8d,93fbdbd2,7280b68,597cce37,a0d71fe7,bc0eb915,41ef6e8a,b28d1ac4,7f548df2,4de2ab4c,271a69da,4b0ae5b1,a4a8c8c6,1ffbdb21,74863e1b),
+S(10a2d8da,bc8ca5dd,88b84e39,7a4a3119,61c3470c,9924491d,bf206432,a95d7d79,aed65260,d2eda695,d67a1abb,97d24e96,83ce4a38,46c46d19,6ebf3e1f,5ceec78a),
+S(222588c5,3ef96af3,af198f26,34180c2f,13941afa,cf3ffa45,29bfbfdd,3de12d38,648de7b5,76a4d19f,6ebc5785,1c218a59,76feec4a,7b2aa840,6d3917f9,ab364ced),
+S(39f06a75,58e5f736,fa6d85ea,6e55f841,8bf722cb,23dfc3bd,3249bf99,471f680d,6e7cbaa2,923201f6,800a817a,af7a74f9,49a8bfb5,70a8d555,d9588c4e,917cd6ae),
+S(e6e0f39b,9cde4787,dfd22c28,154c1f0b,bb2a2cc,f67547eb,18117941,d4cf0b7c,5c91c032,21b8892e,bfec7a9a,21ac78c7,2c32a7fc,63882605,5c2901bb,3b99dfaa),
+S(d041c732,d1728f5e,1ba5bf55,9e22c824,275d74e9,f58929e1,4197e556,b8855569,f2055dd,9cc15a6f,95874965,3cfe9399,7ea79f3c,b52ca46d,1f887620,c15e497),
+S(35bcebd1,45c3cb47,946deacd,9bbb8a9d,b791f087,39a457de,52ac3a65,a2cf459d,7ef44f3e,bbe42529,5f5abbd6,590f1f06,19094a66,21812331,7d025414,147fb9a),
+S(69dfb692,8e0a7fd0,4f26d73,436e955c,52a01239,9382c703,e820f214,3d5153ee,874f75cb,aa5ff884,fb3fc309,b15b36a7,df29ad73,efaf66b9,e4d578a1,1b1936c0),
+S(4cffedd4,2e6412a6,5f225b6d,1901d551,4c7192bc,7c09d454,be730b24,fe126dd9,db4e13f8,a050b220,81d998bb,98e11bdb,2afeff60,62b69b20,58894e77,f3272ffd),
+S(71087039,9e0a995b,baa637fc,d1a58ace,c3564514,6d203182,60539468,702d145c,4a94877,6fefab05,6380f77a,29ae7d8a,bc1bf472,28180606,a0ebdcde,8918b10e),
+S(15caab55,27c3b93b,5a708d42,4fad0cd1,11b0ee7b,d80cf28d,1407e82,abcad580,61b771b1,b8290ba1,34850edd,993dcfda,61321cc1,7874b60f,ca774ceb,38c53658),
+S(38dae820,1c973758,7bdf9b0,23044555,d0bd3453,702806d7,e49d7196,2efece73,b5cbaa7c,f83b4dbb,28ea4797,dfabaef7,95167b09,3ec173f3,fa4e5269,48cbb5d6),
+S(359f78c4,f840f5ea,8cb0b0ac,67dc7f57,84f6cfa4,fbd3dba1,4bf658ca,190ad431,39d7df87,8c9470e7,61f9ccdd,da1bfc8c,8b34a003,89df27f6,354571fa,66a608c0),
+S(fc0ace9e,607d11b9,8945c546,2f210a33,586397d5,131cefc9,7d7b6737,aa4cb19f,61cbcd8b,2131e124,292d0d69,e8543867,846dbb06,90ff745c,5ca5bad3,96596a6e),
+S(1256fa76,bc6da2f,9ebfcf03,c05afabd,bb43c4cd,eb0c1af2,cfea3267,3f5127ca,9788b8bb,223f13a5,909bc219,cb582232,8f101016,db9a5799,6fe8e51e,a7e4aa33),
+S(52e87225,4890364c,d8b2c5a2,34fad84a,329056df,d3131f84,6282f5cd,231c552c,b3227c4,b8932f7d,aa787ae7,c5ee5122,a0452862,43489ed3,8b9dd191,499ea46e),
+S(d7c5c4d0,12f6c325,b356a323,1afc6f4a,13e11fa8,e40db671,c3d9683,20d63a41,31c65dfc,f30c4d23,3a0020e2,dd6f2829,f101da64,88589bab,11d50c5c,89e5e04f),
+S(71334288,1d40474,5d7da525,c10fc11b,645bb0df,c92add65,dfdf5018,5254b1a6,52245a3b,e4cc60d7,8a029e4b,1e482311,cb1ae091,4bdb5cf8,ec6db584,2693ad53),
+S(f97b9e11,1749230d,b6420cad,db097faf,fdce34db,cfb77f89,596086c8,32158e8d,5ab80620,4b7a78f4,e8b98f62,4b2c6622,9746d840,cb43cb04,bb737403,5cb57d96),
+S(ce121ae9,b5128a22,917cecce,c5daa168,bdd61bda,8c17818c,ea678b04,35d73ed8,dd63e534,1131922e,6e5de85e,30d23e9b,78c24cd0,bfd68c9d,14431ff7,3cc237c5),
+S(c7344dc9,75ada59,ae0fb974,fcb7e68c,d36d99e9,8bbae0b,de3cad18,fec9fc98,c617af54,e38e7c6a,733bbf11,2cfcd97b,58298ea6,d5d1e738,db85ae7,fb6d8d4c),
+S(4b1e37fb,34bc0a0c,f0fc8155,96ddb468,197c76a0,fcd61b03,953d3489,79f37359,abfb2758,4f6eac6b,3a7e3230,f758d775,8cd92608,7280aee2,966d87aa,a5d974a2),
+S(187c41ba,25c3d7eb,9a0c319d,c82b1c2a,5e80f96a,1e0f6be3,53891e25,d9d2fdc6,3a211ee4,4ee64261,6f515682,f30ab58d,9edccef6,2f9c51d8,48ef14c0,b1aaab1e),
+S(69e6d0e5,494e7ab6,5430360c,c88cd478,fd33c196,d5984d29,cb012c14,e7c0445a,ea292c37,99f914b8,2b99707,b3e22251,646576c6,9669e66,74551217,c0266006),
+S(acd53be0,92b10fda,f199b0d3,95e1461,cfbed969,303d65e0,fac52b6e,a9e6ac4,3e08e524,f1f2c044,dd581c81,9cf92a88,1a003981,1a08356a,28674c59,5829bb0d),
+S(3673cf9a,1b30bf54,4b12e80d,e9400b57,6680f866,d4f40a36,ef7e364,f112de90,eb5a492c,6c7c18c5,b97a1d83,3c48a3b5,8c764572,7559d19b,a49f01e3,204d22a9),
+S(29d36d36,efae37b6,96083387,f15e2300,7a1a8897,6387984e,31b8688f,789f6ab0,5a65924b,cc549712,992bf77b,514e8f67,b5b5b677,90654d14,f2813e43,45144408),
+S(1f42155d,6be7d164,a376059,36d253f5,b4657286,c70d386a,ce5283de,a3dc6491,ce04e68,bd5ac22f,5ef07b0e,a0034ee1,1a6eeaa2,19d3f7de,d82a5296,84721309),
+S(3152b951,db4f3586,994d7e65,fb855285,9401434d,7f9f92eb,5bea66e4,4783bc01,bc8aa531,f83267a4,84fd6485,2a13a155,ba18d89,9a2c66a6,ded6639a,ec856ad1),
+S(311b8ed8,66830c54,754cdd74,a9d057f0,34566b1b,43e40d4a,85236f05,3b41808f,6f1b0365,2443f54b,3276d30e,23967ced,42476347,e9a13c19,419f1ac3,10bb3066),
+S(348dd77c,cf08f8e6,d3ec8d2b,ef0ab154,f1cb1908,1a497b49,7c44ab29,c2299dec,32774af8,4e29b1ab,ca10560e,b0909ceb,5815068,d4f49fb8,e5b1766f,fbc23571),
+S(632e0270,d07e3855,446017ed,d8753402,19e325c5,40079385,1f321378,b22d1427,ee608d57,3c5e5d6b,a78f90a9,58d5ec07,4068657e,e19192b1,5dfaf3a5,54f930b2),
+S(750bf219,84a046a3,6a2dc2e0,351fff5e,25cb20f8,1631c91c,81c8c10c,3e251bc5,59388fe1,6b5a4f6f,59fadb9d,d37bb50c,6993330,79be47e3,344f2175,47756114),
+S(1957df1e,4a617193,1f1d0f7c,fce46d02,3f0b3f49,53b593ba,bc882368,bc7ee3c7,62a95912,beee20d,43455ec3,69e0b4cd,f8d017cd,520a831d,b045226e,c7302c05),
+S(bd846d21,7e08ade1,833ad435,4b5af61c,f987e071,319344f3,6ae78bb2,7fd3dd14,eb6a2269,48ba3378,4a65d1ef,5b643c6c,102b09c1,d3ee4dd7,13d8761c,a1976a12),
+S(871fbe02,37350222,fe698501,e9fb8a96,985b4254,8d4c8457,5a9c1388,c3f24d35,c1660e11,5bfc3e2e,29e3c8b8,461f479f,64f60cba,5e7bb363,2cd92127,dd78d69d),
+S(e7aa1f24,b4be5505,1321b35e,6aadf2fd,9cbbb45d,3cbfd0de,b990b032,70a58a42,b5f3e930,45efa4b4,54ca308d,f529c526,487e98c5,9bda3402,531d9ff9,c4f618eb),
+S(879ee365,67d03ecd,7a06efcc,b7fb2b6c,8e756969,5f369c07,bca2410d,3f909399,1242e4e6,d7da2997,aa102242,16bd3e4c,905452a8,90203a43,60667fb0,c1d5647),
+S(853bed4c,db8d5a90,792681a3,f654d2,c7947e70,1b94148c,204128ae,5296b2e7,d5a0bb9a,5c785ad3,faa3d26f,732ea3b6,ff50805d,344c823a,8c8f5f79,60d11dea),
+S(2a40813e,c0c0fccf,8488c8ba,add7a231,7313a0ab,923797c,2abe6285,971a0d11,9552f927,f6e501ee,ecdfc1f2,1cf4001,a39e458c,23d5ceb3,c4cd1c3f,8155343f),
+S(6a77953,3f265be4,d6c0de74,4137a9aa,cfbdb479,92093a61,94b3249,2a50f5f2,fd6eab4d,7fcf58e1,d2fe6b14,d34edee0,752bf837,f9f1bad2,a25e5be9,df979a1f),
+S(1bf253b1,d971644,ae6bd7cf,b0beede5,c17d16c4,a50ec5c,70b050e5,159f544d,34a466d2,6e22ee07,a38928a1,a0ff40c1,d7600771,e4478c73,9820bd84,6abd0615),
+S(8bb4c9b6,99634aaa,a30e6792,3d543572,2fbe69e9,b0c8f4f3,febcde8a,76700ae6,b36ad35a,7b47e2a7,1e35d002,49ca67d5,80c6d803,3aa7b3d3,340606ef,d6b0565e),
+S(796cc3ac,1413160a,7f5f4c9f,4b4b1c4f,99acda5,ad71e8d9,e9bb772,dc4b01b9,1a674e53,fcc8f8da,a40badaf,4483ff63,eaba8555,2d1f264d,dfc138db,43c27c06),
+S(969fbfd4,3d17cf8c,256d3bc,a7de453f,4fce7840,10c2eeee,6c3c3077,5e08b378,8f38eed2,1b64ecaf,56cb0e5e,ef83e94f,394ce1fd,9cec89a5,e2814ddf,127a3f95),
+S(590500f6,ee062164,eebad106,7897f85e,75d73696,39156e73,369f2811,acf60685,71060ec,51b9d51a,aa8b90de,6b1f7d08,f446e262,3bbdefb2,4664f98b,c1becb45),
+S(635f3674,4654a3b1,e905bcf3,198e9747,d6c516de,ead4fe98,c2f8a86c,4961f5d3,415b4c90,a3681e72,b8ce95dd,804dce01,b1d6740e,9d53078c,9b8144b6,cffd69ce),
+S(68d94350,a15ad103,aec6b0b2,792233f7,b0d83120,ee5b1d9b,b481e84b,d04d1a2d,790350d3,32dc0cea,2977e09e,fce1c669,978a2588,9a8d6082,1f564e5a,7213606b),
+S(c96e7e8,ec77ee02,335ca492,7f15b99c,e0f451eb,e07b4506,4c05467f,461f01e6,e9a31a45,b9424ddb,9adc82c3,df3d628e,bb1e9979,c9a0c650,77af2678,a6f95980),
+S(7917fd53,b5be089,fecb576a,25aa257,c915f9ee,38bfe4b3,f86ff29f,488d680c,b09ce7af,8c77843c,35c5c621,65b527eb,fb28aeda,9a36829a,de905dc,d6f70ab0),
+S(f55b5dad,a5205283,88d574c9,629d16b9,7f937bac,c6929255,55fd4497,38a5ef6e,34201d75,2f3869b6,f8db8a88,bb018f54,cb0a6d3f,9f87e522,e22e2db8,800acc7),
+S(a257bb75,eeab4ff8,269c4124,db5a9cf1,71779493,7537b46d,52c72467,f9cec60a,f08014c8,6b355789,7730b437,bd9e84fc,22ca7740,a5cc5e81,618499e4,ac74bf6a),
+S(3715ebe7,da86335f,b386a73b,c8b7a4c1,4f6e688f,ed72bbcc,83a92728,69cc52d4,976fb0b8,6a119539,90c05a68,49e22544,484dabac,577bb642,a69806a5,39161aa7),
+S(c57384d7,29b0a7b7,c9814a4f,f369cb75,1a3d076b,df00dd02,e87f82f5,3dfd6817,4319c981,2610010e,6283ee27,a72f9473,5c10c4bb,d246bbe5,d6078473,b80d665b),
+S(7d09cb55,b1a3d446,77dc5ada,4cb7944,c844e82a,45954ba1,ec2dfe4b,b1f49ef8,72571169,2db1e3d2,217e2e24,992882cb,fa11e4e,56c82acb,a1db0d0d,35c5238f),
+S(d0a60225,5b87b479,4f2ddff7,a7b32c3f,693065ee,dfc78f35,f8ee1813,30a5319,4fe22384,42e5d371,46e730c9,7b91587,bef5a036,535e609f,de2f6f07,865ec3d1),
+S(ea68a147,c69797e7,813b5279,daf2b824,e12a5ab0,69b18f91,f7cec706,c9107264,218fc72a,8e0faed1,bbd55ec5,d1b84912,a0bcd7d,a6367c4a,e6f68d4e,5d218841),
+S(d1848858,d2436d03,396c84d0,3262ec0c,e4898a61,86b66e5a,f4e8143b,1713c810,91cb6ce4,c502af6e,eef8be3d,93261cea,79f102c7,12c798bf,8228143a,bc6f4ec4),
+S(10883dd2,d74d3c21,a50a3b2a,1243efbc,876f94be,4f749173,9a76b7c6,c3ae13a4,376dc0b5,7c8e454a,eadb8a1c,eb53cf24,374961b1,203175d,f682c8fc,895304db),
+S(4ce880c4,f0d3f822,47cef7,7266f02e,efe9d1d7,75f3e1ce,f6bdc7b5,9a1b91aa,8d8f082c,3e3d305e,91eb4032,adb695f8,51cd3ebd,78c8f6b6,cfe87cd8,6dc645b8),
+S(7f43f40d,99228e89,29102200,49f40ebb,89508aa2,2472ad89,9e14d63e,69df3cb0,64bfc237,cfd6fcc2,aa1d8d5d,d709aaba,542db811,c4098d,68f8a123,39291cac),
+S(91a6f844,6bf0d01e,298e8890,98866445,96e19b74,802fa565,91ea7f7a,3e01bea4,425d1750,17f81fc4,939abfc1,63aae7a1,a9e57623,3853032f,2bca878e,e53f4bb),
+S(c1296478,5ef73db9,27acaf97,7c459535,15ec8dc5,ddbdd62b,d85d448b,747b25d1,72d82dba,36b200a2,4921a696,ddaff7c3,16f6027e,516a13e0,ef3c6c12,8187d956),
+S(5239834d,63ea0e88,6df2db9,8496d181,1c7001c8,c845b319,309d8bad,7737b4b2,32e24dbc,d6265e8a,902264b4,345bbeb2,40363c6b,731ae6a,a9fa6194,ddf9ca51),
+S(e08691ef,b43e68f9,bf315a12,7d5a93be,effbe597,f8c51e15,fcfbded3,72be397e,f304ec86,55f6255e,527f0c4a,80db724a,f4c5fe8a,e7a8174b,128d09c4,1f38bb56),
+S(8ba2d25a,18b66731,5f03025e,a79c4177,24ee484,ad281e2f,a34d21ac,ad49711a,a9a0d35f,e6508408,219f5bed,f8926a97,fc070ce8,3e7c8a9b,9e319cd,842f75bd),
+S(40a6b491,c6c180fd,fa4e81cf,ca69e9f,b264a519,55796ab7,1f5e1089,79c8f243,fd51d9a6,35be3859,280caf2f,c494e4d1,141b5faf,c54a9575,ab98faed,c8f0d8e),
+S(176e36f4,80e9f1b7,bfece37a,55577811,a39e4390,9b12a8f,75b4ed9b,a3c5a7f8,5253aeec,58dd769f,12583d34,70248112,7720ac71,1e9b4273,b4a567c6,f6eb91e7),
+S(72ee3556,e5b22f02,9eed97b,ee54c7e1,e3a69fe7,f2e83e13,401c7ee6,dd4b2b95,9b728711,1ae6f55b,1aa1a43e,271c0a4d,e0768689,62a2166c,ffc996e2,d5d2ee8b),
+S(7a1aaf5,616ca51,374d539b,d67c7373,191750f8,fb5c512,5d23ae01,3297db5d,430fad10,6e887fff,ce7f8e99,97cd20cc,63abf2e4,d8783da0,f9551a57,591d72e0),
+S(b7c2c82a,dffc0544,8a350835,843cebcc,7c854fa9,1dd50429,f0cbfabc,738f60e8,ba5a3066,1ae99c9c,65017efb,8dec5279,ad99b3d8,fb93e1f6,2292fb4a,16566ff0),
+S(872247ed,67ad35b0,6fae570d,ec2d5717,f1aba1d0,39400e84,b4bfb997,c124b13c,6d6020c4,cba3bf3a,34d6c831,84ebd4be,5a19bb63,dc2fe3af,458ad74b,bcae582a),
+S(cbc1502e,b44ece8f,c641d32c,1206aaf8,4eed904a,8b00507e,338e6017,d7decfa9,105afd03,4ec01247,27bf7159,57ef0b01,3dd37776,dc40fd7,5a0f4385,e26620ca),
+S(15768fa5,72722a8d,b26efaeb,61ce7f71,95c0e10a,99d5fb09,fd1ad9dd,bc597590,8f61c181,98218dc2,8b8e0730,ba7aff7b,c5dc3730,30a27caa,d1b913e,36df0a52),
+S(52301c83,5f809de1,7bdfcd79,fe3e9518,a1479df0,24a2caf,423b86f1,c685cae,3d171f90,5f13860b,778e5708,c2e3914a,c911bfb4,f70a4af1,2a1b00be,62efe3bf),
+S(8fef14f4,100d0f24,b9dfbd35,12d02e0e,f4365406,8630c899,aab5bbc9,ebd6cef6,dd67918a,27d6a6c0,812153e8,481e6a42,b05ce8b2,dbed064f,b82aa417,1b788850),
+S(7a4d8983,ce4101db,ecb3dc62,c228d75c,bfcb3283,d575d73f,6bec15c1,8b5cf1d9,26ae5767,13a0c2d4,dc6d4ec0,d3f8c038,48516436,ae5286f9,698bb2fa,913752f6),
+S(aeee0e3c,a620b586,c34232a9,e3bc6b8d,f5b72be9,b1303be6,5c07fcf0,f3507c58,d43e4b08,6424e81f,c2b7f809,d17d9572,83adadd1,2bc2226,a190755c,82d010ae),
+S(7c97458,6753cba,49ca2e69,905ea7c7,7a6f28bb,f3c7f390,d75aaf3c,3d1eb924,fbe15867,a8e7aa97,4682180,c9083321,5edfaab9,a7addde5,7e5b8037,acc9065f),
+S(9428c393,31d5b775,ba3922fc,43cfb7ae,98a6dc54,1541dbc8,bd77816,1aadbc06,f1be710c,5fcacae2,4e7afb36,353b8417,35cee21,8d73310,4d58a19f,7ddce278),
+S(45aee6c1,d86ac7f5,b8434541,9c37ced3,ddd54bda,5d8582f,1ea4d2a9,767dd73e,95962f5c,45c6f3a3,22f430c3,919ee03f,cab243b3,f9feb2fb,9f8b00b6,983a84b2),
+S(5ab3774b,b840b2ac,e1595d53,d51c5d92,3f7b617f,1bf07ee1,a091c798,20a6cacb,125f6498,1d82a4b2,ac7b1471,a42da473,da38524d,def91d11,a045af83,89d9904),
+S(28966b11,43e4d01a,d8a7d161,a3b6031,9165518c,880fdfeb,bc51e0b5,84c3b9cb,1cf95f95,e8422d0c,cbe87d43,b831ce39,b1f79026,14cb1538,a4eac1d4,438b2c7a),
+S(ad71d209,83a14eb7,f963d5e9,aea67d3b,f00173c6,b7625b3a,9fc7417,f49a3a76,a72f2b57,fe593a09,2ef5263a,955598df,fc2266e0,ecda8cf7,573ab085,9a82792),
+S(f918d962,ce0cc947,2539b1eb,23482e9c,a69b6254,1d0ad633,5c35adeb,cee0bdde,41446862,e8c749f9,559c002d,c42deb6c,bd2240fb,b5b0d4ec,94e0d142,e6ff8bd),
+S(f0706622,6367ff84,f7cfbebc,f389d1fa,e9f97aa1,f1acfdf2,d8c6145b,e3a8a159,53af7a59,6fb697d0,2d01d8b9,b0c75304,ce1009d4,7f3c20cc,94123aa7,9c91c813),
+S(800e414e,9789e121,2c8b6f71,33027b74,14da762f,8956f347,4eedc170,4e9442f2,7d1ebac5,3088ecb2,7bd8a881,78318e1c,d0ada6f,9b8f503a,57283c6f,b2039e31),
+S(2fc35a13,b45daf44,8370dec9,a43237ec,1d7313d8,1113993,7e103ef4,1c90fb78,ee6b54bf,97a32d23,3755ef16,85b1f212,2e46531e,164277c,8769a6a6,2adbf6ca),
+S(1bb58cc6,8606fb97,5ed32c09,f668e25b,b4795ce,84ee0e98,5dee5536,b07929a0,9e82d8c8,b37926ad,29954971,8b6dba63,229e6887,14e03042,ac3a5fbc,a8e9fb0a),
+S(2479bbf1,e9ef8b33,b1a93153,47392063,19575393,3b0b760f,ed876af2,a98c285e,e58fe58d,3ca3e0ce,23bed9f0,258214a9,51741872,e5198064,af43e106,70567e66),
+S(b396e44a,41e53514,411fdd39,6e1084bb,dcda0750,ae66145a,efeae86f,87994254,6536d014,1d2b6a6f,a0425f70,c7374e3d,4fb6324c,931b004e,995ae706,2762583b),
+S(7c1808b2,bb1b46f3,fa79d047,ba65032d,7b2757eb,a9b1f241,2379e419,9d4242ea,bbfc916f,cd41f3f,e269d5a4,38bfc9d4,fec0dff7,739ede5,8785483c,c4657faa),
+S(92e5f9c0,13a482dd,6789661a,2eaaf396,7c0321fb,1e488f92,44e8ab96,cc7273bc,e2e815b0,f9f43539,3a265354,f6880193,791a3bfe,dda916ca,ea12fda3,27e67eed),
+S(6a7ab088,8ea54626,9422c715,e9b9bb43,cbc565b1,ed885200,1e49d8bd,4a79e84b,dea9872c,2c07f8c8,461d943b,cd6328bb,6fd23a5c,937d5f3b,5a87a921,94a5807f),
+S(75b11622,ec6cc4e7,6887ced9,dccc7604,8bcaf51,4be6b6f,94b1d7fd,e35b5600,7f654a7a,1be8680a,d94efbcb,12a4ae65,2b0f1859,5c14ec92,df83e72c,cb98705c),
+S(ca26ae7f,2b6b1e1a,1ee255d6,68d85ee1,88c7d6b3,87ca8374,e07eb9ff,8bce3df7,958ac803,5fecf72,a2e89cd3,d54e151a,575eaa9f,2e4c1742,a2d8ea21,98c0d35c),
+S(e6109fb0,a6d50ce2,c9eee96a,3f5eda11,31af4f00,8ea9b2e5,eaa6619a,9b023517,92a046d0,653d61de,97ea073b,7be72083,1fa16ea4,cdd1f4f4,ba9e94d1,37e9636),
+S(a99f3ba5,30d7e13c,f05c77a3,27754420,50b3e1c8,eb92da33,988b28c3,20caf85,8b73170,71d3533a,37968605,ee80b458,5c77688c,70aa6aae,1e322015,e9647713),
+S(2ab7b1f,4b81ed62,9c358544,6cb81e01,77e9b0a2,43a4c81a,58e636e6,1df8f5d4,940c38f1,605f9da9,78c713f3,81d578c,88babb13,b08d7a53,f131e60e,fad6763c)},
+{S(217de5b,a47e8de,cb9d8dc3,dc8fcfd8,203c514b,b9d7bb5e,fb03584b,aa1baaff,c77bddc0,3af15e63,912e51c7,19bd8186,67f999ed,9bd801b8,11bc289b,f12864ed),
+S(109382da,7088d834,bb181d52,fa1a54e6,39177311,fae56ebd,eb3a4b43,f3e95ea8,4b9d8ef8,ca4cc192,e6b60506,d9f7ecc7,a91af4c0,6e976b79,a90ad5bd,a03330be),
+S(ff8486f2,d5296a82,16567549,7a46c099,56a1b1b6,15577e6b,7e789f4f,e032e31,7348e2f,b0a04014,2e23e7f2,bfac58d6,4e7b8087,2297603,dfca65cb,acfb7be2),
+S(ff0252f,e7993b46,9174f525,27a6d39c,4f7dfd3e,234f7543,4aed99e3,edb8b04c,dd53af80,f6148d42,b5c7295d,150830eb,18d5c213,aa44fcab,8610ab7e,495d079c),
+S(ad7b6b2d,faa1ef9e,125ddb2e,27fd5034,a576e565,c3cd7ec1,7e329e7,ebd22f52,9e1ca583,7cc8214f,1a694ced,2f216007,9b621ac6,5a2ed803,cb3bbf94,2e68b739),
+S(1bcfea06,6ee96a7,63e7592d,3a9102f1,204408c9,7f191791,6b941a31,f2a257cd,c4f83f96,7e80765f,77b044db,e3488180,5fdb1cdd,294f765e,7f60cb7a,a6fa34bc),
+S(95afe13,a5798934,5b22e95c,fa65a072,4e3e2914,88528290,8e99e098,2135041d,f94764e7,99b95b0a,180fd6f2,8b77ed34,699de7ba,ac4d5c74,24bc79ad,abd5690),
+S(a0c4fd09,b3c27bcc,d3a52cd0,5e14873,7c49c2c0,c07cbaba,1a4aaf88,417ed9ec,1e7cf587,2ec3b0d2,f24b2b9e,531d39a5,ec30924c,44578b3b,ef82e55b,f432b1a1),
+S(837f8537,d9347072,8ae81f1d,c58f6118,53be68f8,21571f83,4ea71bbb,34e7772b,7f16e8bc,fc9d7784,9d089ef0,77dd953b,508e5f0d,393ebdb3,27e823a0,c75d3b56),
+S(c3637c50,fa14a7d5,307ef422,2444626d,179fa5bd,7a6702d8,29971cbf,d456c7d7,dcc3832e,901ddc80,874a82f7,e586c7fa,3cd79be2,7fbed643,ed926c90,d9b64b5c),
+S(ff4d8382,9f7ef2b,b6fb2dd9,76787ed6,7cf062bf,bab5c78a,a26d5f2f,f8b2057d,64c4f671,73a6b641,7d97aa9a,fd6d3715,930c3a9a,fcd2dfb0,55aa004e,84cd26af),
+S(76099a6,6bd40c1b,69009fa4,7e3237e9,4db5d6cc,4409b9e1,88c3a053,1ff1fcb6,5c7ad308,bd5ede4d,bd9ab004,38e1df54,615ed88,2b073aac,f7dadabe,f0d803e0),
+S(f9f4f60c,11b4361a,ea15dc8a,19e1db4b,5f249f59,61003300,98babbc5,c74bcccb,26c524b9,1339e97b,b1de385a,b9f96636,2be8408c,65e6cc23,49505309,3aecc82f),
+S(3dc564b0,6c5899f5,5e2f451b,feb11edf,90c1b843,523b51f2,686ef705,ce9d60b6,beb5613c,891141ee,a6eaef14,d5f0fe89,dbacb245,95d712e,b157ebcf,5d5db03f),
+S(8ba520e,fea14cba,b5cfb96a,f09e8798,36aa60ed,ce5064e,ca04b802,78068ac6,74c2427c,42793f35,7ccd3f57,9e97e85c,38ec37a6,c4838c10,f0e315d7,aec33ec7),
+S(1a32f327,c37e1617,2cbbf255,67636e65,c3a515f0,47f5332e,8a125ad0,84259bec,ac94889b,d1ba74fe,41ad4eb,5de079b6,321c3da,b76f1a6b,52382162,c8a22ff9),
+S(a4fd9780,b897456b,b59da53b,7a0b00f2,54bc7044,7d0492ca,a96ca1f8,7dc3114c,e09eedf6,25923e98,2745d544,b4891cf,f443386a,e41a624,284bbada,38769bdf),
+S(3c627056,5962458b,faf569c,9fd19018,1b37f5dc,4643bcec,4fca288d,e08db385,e6cf1f81,30178785,f3347f66,2cb81068,25e19f7,72da485b,79e697a8,fc822b46),
+S(db75d23d,794297a9,778c28f8,6da0ec91,95e75b53,98dbe0ef,be88aa00,a64faf6d,1af59d51,3dea8f8e,8e36c811,28d113a7,5a7986a2,b6471f6,d17efd0d,e7922238),
+S(9c16da05,b9020404,2a1ff95b,9b0457b9,fbb8b1b0,fbc23587,7d912b17,e11a0b5,caa3dae2,8c1f83ce,c6b69f1c,e2064fdb,4c74f239,e5793a9a,5428f5f8,bc995b2a),
+S(587dbe9,ef3d647e,d0e0ed18,c1cf96a8,a1415fe1,8627b5fd,f12f8459,c1d5645b,b6869014,4e9bac2b,5256f5d9,d31fe1ab,feb3a26c,90abef50,e89a8f4b,4e461cc0),
+S(1de4c4af,1aa3668a,13341760,2101a007,26268248,7c531efa,93a87d13,7aaad2c3,604efe65,d1c041e0,fc12c11b,c093c8cb,75e550dc,55b2ac,92371101,c4c5fadb),
+S(cda8f01d,3c1a198c,27e29fda,c3fe8d6d,72de1d55,b36a787b,538bbd3c,be8c9709,4fe322ab,a45b3dad,db173c2f,ff700152,4faa90ba,65917b97,cb4f29c0,ab65a2bd),
+S(df64862d,2c032d38,f99aa05f,372be0e6,3818b94b,9d17230,a45c4d40,dd558df6,860c2a10,68082744,f4c252eb,89eaf5ea,57cc76b3,745e35e2,a3dd077a,a3cff1cf),
+S(d9895b7b,6893b227,e838bee5,9316d1e3,92743663,e4a7f917,ed308d31,e733d171,c8099481,d8badc36,11e9a266,89c46662,4a9c641f,6e954a9c,e57e55e8,7a455434),
+S(e71e1d58,c307f1a0,d6060ad4,710ca427,ba47f2cc,c5cbe7e,5844e4f2,2d46e567,d34c97a7,68b60ff6,e79eb12b,94fc84dd,32522c45,99274a54,83a22906,b13c15c8),
+S(5e36de9b,62a156fb,c10e9d01,5b0d2e90,a3b0b0f4,78fff430,2a58a8dc,aa42739e,40186760,c68286d8,cdd1a40f,fe0bba94,79bbcd2b,151eb361,9fbdb0ee,ffde681b),
+S(9dd460b6,42869b10,740abb12,cdb7b03e,ff9b7dde,f6d88577,1bac50bf,3d2de390,66c5496f,fae9452c,af09a7a0,2c969ef4,f075da7,9132949c,e8b08a03,cace8f56),
+S(313642cc,cd17e982,b924eb23,13e0634d,1324a802,bd51cb3f,80d90d0d,17d7f916,2d59ba09,e991279a,c18aea2f,bbdc40ad,23988b6f,d6082749,f3f306a1,94ec89ed),
+S(6d3bae15,82708fe,61e09e8d,65318130,686af25b,3b73c60f,def2e585,3cf7c84f,441d216e,b80b00fe,15f2bea,42358150,5fd7726a,12605a2,9bd0d0d,ea5077d7),
+S(22f1087a,d2f9b4db,28df386,b93700fb,cc331c65,7cc995dc,990cdf88,afaf855d,8f2377e8,9c562acf,78517ee9,917b6b29,88063caa,bdb7fc38,d7e25fb4,23650e68),
+S(973d0afc,7dcd4ee2,9f7dd7fe,b12ec147,156aeecb,9218d651,f6fac991,e738f6af,fdc111fe,32d3559c,9df48e26,f8d7a5d9,ac14d12a,c78e5109,e1baf6bb,6f030a),
+S(bc5a2618,f46a724f,c295af9b,5aa75cc9,4cab7d6b,ffb16709,c35e5d0e,8115f320,79f1764b,40dec87b,fc26f74a,36a040c8,752f111b,61827d15,58ea5238,580a8336),
+S(fedcacf3,fbec5575,5881379a,54db4451,4a6750e8,b1bf0d5,296b17dd,aa396ff8,c7518849,85cdd0a1,3245d3f5,30685653,3e0782dc,a550d6cc,1c091363,879db1c0),
+S(6fc31e9b,d5fe8f58,f2ba7559,8caeb21,f9eb8b9d,394a3fd3,3cbdae74,3b20b01,d17a98cd,3f8b08de,b18a57ac,fbd75eb,de187cc3,98b0d772,32acc3ba,41537557),
+S(5ce3ac9d,eaae3874,36b13398,80d3f5e0,9ed594d5,70f8cb5f,ff5893f,11b1b419,8cac7f2,f451e966,a87b294,f0df6e54,3a6251a0,b0862c8b,2d6cff43,fb1f2a19),
+S(db689f9a,c54e2f83,aee53b19,d7511624,6195610f,8a4bd546,73ecb7c3,23568fbf,2bcb293c,4d303a00,149f4c2,e4d46cbc,708e58e5,3b1f26f4,9004001f,153621b0),
+S(6852395e,84e3b9a9,a99f17f2,bba96758,5d597b1e,18c3ee9c,1ffe50ac,d83021a0,96f4be82,c57402f7,b1f18258,109c6ef0,3ebb2163,3dd6c91b,503c34f3,af250703),
+S(baa0ffe4,337a2053,25a06dc8,d502f954,9ab54915,2f757ce0,7ab0f19c,975759df,385a0223,5c82a31e,23b4c721,46ca49e1,f1d3d9ae,5a3ef424,da7982e4,d4ed035b),
+S(8652c41c,8898804d,f377f192,9e64fb8a,e2524fb3,721fb7c5,b7f389b,f51ac7ac,1dae8810,fc3c450c,1800a806,83fb3cd,18fb5de5,ddbfcc57,72870867,ffcd0c8c),
+S(e57beef4,8ab71788,262d1016,d7caf2e8,24407aa,bd32fcd6,49772c9b,dab0f98b,7557bd67,a381c515,a7d2bb84,f5a67dad,17b91f52,6d60127c,23279479,81552aa8),
+S(f5d671c,3e5cafc,caa2a98,93e0ea53,b5cae255,1ca13144,f5cdb793,897d74e3,a455177d,a1c343f3,72ff895a,e0234780,f9509169,ecbcd4fe,9bc7e2b6,77dee746),
+S(ad4ea4d9,4cf266a0,62f747ac,a3276163,4757ce6a,2cb1b655,1cd91232,36568664,6e20396d,78a8e653,5d915f77,a1b07f71,6c72d5a6,73c51381,ee2cb69d,8b8177ff),
+S(3d000a68,de2bec93,9ecd8fb5,d9ab77a6,247971b2,7c33db,522ad3f5,b1348b89,1a923b11,358a52b9,2bcaebec,f7a60b46,b51922cc,b9c239e9,4713e3b3,455a565d),
+S(4b1bb516,196f7c6f,d6b917cd,b8cebb6d,56c4c49d,3f44312,b6e54b43,b51f3278,2acf44a,efb6d3e,95ea394f,18e9945b,e3c79e8b,b3825d96,2b96cc7a,58e357c3),
+S(c7edf142,aa3e3fa9,91e92b6b,4f5f40c3,1e802f21,5383bac2,5d90ebf0,74260f,9806dc46,c4c040f5,941e9489,3ff82abb,a0bc425d,44625765,ae4cade1,95a683b6),
+S(71f0c9f5,7d2e0048,afbab0b,9058074c,3524ad35,1a9dc2ea,430ea159,eb702966,82a5a7b7,b4e5d028,d748774d,f90b9d52,d7086e37,2be2cd8,916b0d5c,2ecca118),
+S(ae7fa0f7,275f4f18,15ec6888,4f358fa6,170f459f,442aba2d,10a8ac0e,829683dd,66c93784,6576d531,a6ba8641,772b6917,9638293d,cf4c2866,262f2221,f8e8a12c),
+S(50447e92,2eb7e2bc,f96bc492,6072be78,a4f7d17c,6267f8,da513c57,7e624f4,c4536744,c06a5831,3f75787c,4b854b13,c3d3a4ef,ea09e584,93d10567,cb805ed5),
+S(b693791e,4d20ab11,bc3d81f,28f5e509,fa45e1d3,9ac658f5,9a9dd7c5,e7cba800,a078ad71,af8d7312,c1b003c7,a17b7263,6f25e195,4813c05c,b4a05d41,2893559f),
+S(4c8c48f,73d8a610,a6cfae50,44a31d86,40f660ed,93d306ed,7942d01b,44c5bdda,c747c2f9,400bddf7,5a96238e,17686ec1,b04a96c4,5031e5a0,68523d8e,16d1143a),
+S(87af9f94,4296132a,9f23e471,8961a373,d49c9efd,ae7ca312,d3e28180,66e4c1f6,8251b125,4bdc4711,33b7d9ca,7a079120,bb04144e,a6720b0e,3de93705,32371017),
+S(ddb8044c,82842cc8,a2cc1462,c803860c,19e7e40,79a4bae3,9dd7271b,85983012,6bbd6d35,264a732f,824c012,6f076c82,6247b61b,e4248260,99d6a5ab,5e208971),
+S(17c12c2f,344e5da0,bba8d9,a5a145bc,d1e6a77d,cb95cc88,bcdb18b8,1accae3e,90fb2afa,a634d199,b11d426c,e974f87,e6aa765,bd98b848,dbec1af,e023afac),
+S(dc115062,8630d468,d4c06d0c,6d693470,63fa22a,7a76538,d1341c45,4bc8b0ef,3542ff1e,2359824b,29d0390,e8379bac,43d8e9d1,eb5714b1,91dff000,3748bfe1),
+S(7cbbc66f,84023a67,7966ffc,231e9613,9e2db2c6,2b7d2d7e,31d9e785,8ebd8feb,e5911b68,73f2e661,b67d7a0b,3aca2582,db9946ae,b925d302,e1e1c3cf,d9a1975c),
+S(72cb29fd,5baafbec,9bd0abda,6f8c53fc,918e71e3,d932eac2,a86f5fd2,49b4095e,d14bbe6b,8ae0ba27,4796d5b4,fc6d6ce1,9a383389,a08535bc,9ddb3220,a04227a8),
+S(fb809bdb,a32038c8,d017352f,629fc367,ed1b7eaa,97632e6b,f29a6ef7,6b90a6b,5d4c4958,a28fdd6c,c8a698a6,b7c35773,fda9c700,2776ae,b90986a7,2d65ac48),
+S(fb20eed9,22031d48,de92ae40,7537769e,600db346,6de8d72,64610094,79581323,c129d99f,1e32672f,2913bc69,e76e710c,399c0256,63056546,d2332e64,fe6257cc),
+S(18b7710e,aa95f5b5,79eb6c9,7d95e653,aea6ed60,3f1f3f0e,f4d570af,621a396a,c1830f7d,bc278840,9a54cb6e,f48966b1,40a4ed2b,54a1f0ed,2754142d,7bd02495),
+S(dc781435,efec9436,4d4d3af1,58216ad1,c392a4b5,9adeac05,a1ca9a8b,4a196c60,625b2205,45678f7e,36dc1a54,3e9f9f05,383e3590,cc5b7450,c774226e,fb73c05f),
+S(6e16acad,951b4ffe,737c6884,8a59e094,a35f9450,760693d8,9804934b,25d2be1,505091c4,8e00b8c9,bcb50e5,c5eb45c1,d706f95b,cd292994,29425b0b,f3e968ad),
+S(3dda4d71,9579a27a,a6980e32,95439374,1af56e38,bb51f165,618af16f,8aa2cb36,c4a0dce1,57b2fca8,2f6eac0b,a800be12,3711694b,4b711742,cc37297d,48d27950),
+S(33b53cd2,ba2f15eb,db59dca7,d096d50b,2815cd8a,d44fb218,a750dc1f,63c08130,2088291f,30e861b0,3e566d7,149b961e,d513661e,5eb44cf9,1ab808c4,2dabad38),
+S(3ff3ae48,c88bd212,f35fb6d7,b06ca581,38d4cc40,24f0c0c9,f6368164,de246f9e,c177b65d,b99236bf,2161529b,870bb558,a5553f62,1da1c2ea,73297623,dcec6133),
+S(1d9f4e25,4ee26361,f5837220,3e4c212d,9f46300,44574f4f,ccab16ab,50023fde,1fc1da4f,8567e4e1,fce5151f,648f31d5,f5cf22b,5973bd56,73b967fb,1bf55e1),
+S(5815c873,f3a0b76c,56e79769,54540685,1a853fcc,23b62c5a,6a74df64,c90aa0c,d2c66c1d,b75425eb,8c74e822,d902890a,2d7feb27,f95cde22,648ed311,5dcd756a),
+S(bffeb15e,4f70e4d6,b16c0027,eff0c9ee,594b254b,43523788,cb54e8c6,57309213,12261851,deaed15,c2eb62bc,92289c40,5714904c,c291d736,470271a4,24d6034),
+S(66b01b20,8d891037,bafaf962,98d6502d,fc05adf8,24731d49,84e59425,9cc9a780,1ad93ad1,984b9404,e2439450,c728eae9,c9ad5c32,7be6299,216ac174,4b838d43),
+S(db8a04c1,cbf6dfad,3ccc65b5,19fccf61,a9132332,b6786ed8,5cdc4a32,a7c4969d,2a366e8c,ef249745,fd6a3412,2e7f5403,73bf3ec4,21991101,ef7c7650,a5838337),
+S(2cbd46ae,663bf92f,87d280d6,9ccfcc6e,37fc8d87,c586e7c5,891e57d9,9815f71d,40312f04,51f4b2da,ce2dac4,f6c91fe8,209fa78,60bb6247,dcdc1a1a,da4bffcc),
+S(4a5fa6b,21e4cc49,83620a2e,1c13a4d,3aab84cf,4e4aa616,a4e0b340,dc1db441,8cb91277,671abe8d,c0252252,665537fe,6037a7ac,8aa142cd,6cae37f5,606313da),
+S(48b756e6,3bca3d84,475e90e,23db898d,cf319138,a2bf14c1,a820e9f,768cfb35,e4b5972e,d058b90e,f38087dd,82c619a1,59a42a00,aaf7dfce,a89f679e,96d48d77),
+S(6a5157b8,85721f0f,42fb387e,b50f9314,fed50fde,59bee2c4,2a12973a,2fb06b13,7d51867c,834fb385,7bcf64,c2d89094,6784d2dc,e635ad9c,6e902525,ed48f51c),
+S(2788ac60,8c691e57,e062972d,398be225,16f625d4,f952f37,2c9c38db,eceacb43,6e469eaf,32db4014,12279b66,181003a3,1d6101af,5b3c24cd,dd4cf420,d71fb38b),
+S(7659a365,db31c14f,ebcdc3f7,d8483383,7eb7255a,25b38956,fe013449,89176796,9db1f7f8,cddaed52,178c6d1c,ab762acb,11fc79ca,330638fd,7ee34652,35934b3d),
+S(317436fa,cc0f540,dbdb8acc,e9c35266,fc4f01be,b65f3457,9655f1ff,dda3ad7a,deaf8c78,33c26e4a,f1eaf83d,16226488,ad2dac5,639cfe17,2b92f16d,95ca71e7),
+S(a92f4493,84a1acb5,fc26ddf9,36b59373,bdbe563d,eb05e446,917a4414,f6e0359f,dfe5c80a,b676487b,b334e9c8,c67cff03,905905dc,a0dad7b5,c3604de,cb456d90),
+S(fca66bb2,e3b45c58,2499e52e,d0c12034,2796ae4c,466391f8,ccc81f80,cc8b91ab,12c840c9,b9b20dbf,8c24ba00,59db5469,99f9f2e0,ecdfe4cf,e1f8195,31f0802d),
+S(d773f231,295c4836,6c012e24,a825c921,7a1b1657,dd0f3ba7,49a541e8,b380284a,b4ef8d00,66b260a7,7b01a0fc,a4e9b8d6,31265f1b,94834e5c,f778dbd1,ec03e892),
+S(af63a268,5669fe68,f3c25538,ae3cb24c,ea5aeabb,51bb6318,ae8f3bcf,3d49d198,ad7f1474,606d40a8,5e4606ee,f95c3034,f64551aa,fcab48b3,3de68f1e,eac43a08),
+S(6329c0ed,27a5bc0b,b02eeb67,e79b015a,2d58ebac,9a0270f,559b6bad,f75073cb,a5ffb0e8,12e1f2a,b63c5c30,745bcd8c,cc0e9825,3ea223c3,850119e,74cda400),
+S(3d4b56c3,5b51c6be,fb380e04,7e3f05a2,2d5e90fe,55cb584a,aa2e909d,a80b2a76,ff0f8a0b,f6742113,c99401d4,a4f2132e,1e6f41ce,b21241c7,986713e4,4215810f),
+S(d84552b,5b70fced,a8053aac,63d2cf8e,7e6abc35,88a467c8,1193eab1,63adc404,d2f36d9,e296f0e0,1f01ac9e,30fa7db7,46a97608,2208d90b,60e4fc00,816a9580),
+S(b46206b7,984144eb,a6655c9c,8aaf0658,6083971e,5f77da3f,96b260f7,8dfc4763,ef70665c,b881d9fb,c296ca88,10fbd9a2,17288e92,c0225f06,e072bf53,7830df3a),
+S(b38355d3,a0b1cbdc,343c0a38,4c7f0653,b9726bdd,1a3bbd34,2614fd54,409b0864,a7cfc80,895c9ae7,36aee67e,aabe29ab,61223e08,deb06542,62393dad,eb9d4ce5),
+S(a423de5c,338efcec,58349f16,70e8ea11,bab0c78a,be0d2442,4ddcd2e0,294f0bb2,e9a2e0d0,90e31783,f2d1abd5,a46e4649,33e3f111,b6f1d3c4,d7b8c93c,5975b2a2),
+S(54ea680d,959b1824,15e66f4,622b6a2e,1dafbd8a,1756fbbe,d622ea43,e443c673,5d57314b,44923737,9e116877,e6f74a31,63a2ee66,44c74e42,b8617855,3ca7f009),
+S(2bf96fdb,32c84cc5,7a37a941,8f5d8de3,67373eb5,a9e401cc,ab2c86bf,c4a265ac,b0a83c7a,e9ba4985,3c78bc14,8a891c75,3c259c16,4c620a73,8ab2bd3d,7b291851),
+S(2425f73e,f25aa0da,588e5a96,51e91bfd,3953fb43,cf1142ed,28341f6c,c0d94885,acec2cca,1798f9bc,2b844f62,5212c411,52dc665b,c6e99704,19108b38,dc9b7cd),
+S(d387f2d8,2b130fc1,80f940b8,6bca2c6c,d29fed99,2c3129e2,e1155d0e,415a1e98,af31ff4c,8312a574,9d0a9860,cfba0446,2cc8e2d1,6b516511,1225d4c7,7d388373),
+S(a34c6211,815459f5,679b5518,5bb311ea,efaff5b9,cc0175bf,ecf58957,f616d49d,c88078a8,b1d1839d,c1941e5f,300f6876,63be4a91,9766063f,bfcb1e35,d81b4871),
+S(cf8a62f0,66e4d06,f2cba109,8c3267f8,a435b03d,c1900e47,3eeeb3d2,bc3d7909,1e3bd7ab,5445163d,2bf834c4,2a425414,af72694a,be85a1ed,e8c53910,df5ee50b),
+S(c9f930b0,a80350c,c66d2de5,ae6a8165,9a2f80a0,6c01fdde,3436a7de,5da09d2d,79ceccd4,8a9c6cac,ad77a4bc,255e7cb5,976d29d6,a3d814a7,e504cfdf,66b3af2),
+S(dd05c586,86b98f5b,7ba2c17b,e3507e2d,83c31d80,eadf33d9,291abbac,e525a4bd,cdce214c,5525efa9,5e3f7dc5,8ef4bdda,d0429ed9,c59a8aa5,d520433c,eee8a34e),
+S(d432cb8e,276f7e79,36f455d4,6ee3327e,70e6ae4b,a04c6ea4,9dc02557,a40a30f,d2c4a0c9,4a6ff7e5,c254bd8b,d24862ba,857b3748,9ecf2cc0,74265907,2b5be899),
+S(a3b51478,dedaebf9,a5f59c9c,d7b4bd69,158c5c92,9511c5e1,d4ae7a84,b57a5d9b,e766b796,15010b2c,83a69c19,8c524b3b,10780e8b,e4fc62f8,a2ecabb4,f6fe3f51),
+S(39f79580,7530e55e,3b985e2b,763fd21,78ff03b9,56b02a42,faaa87f,3100002f,bd3d83a4,e01de784,c2d106b,e645ea4d,5b6efa85,a52f17fd,c82bfde2,79761c93),
+S(a3382f,9f706246,7ff434f,54e1841f,a18d8554,c3011852,f4803343,15c6a360,e4b43770,354c7ffe,29685ebc,64272360,8447cbbc,279b7e67,14bd9479,5298a156),
+S(6d09fb4f,a6228cd0,93dab47d,99435c7e,9c6e2524,34c59792,bb2dd18,448a2bde,1f047149,31b69744,d6f7d61e,43e44853,6577fc6b,c2335282,109119e0,d5978db),
+S(2a55377f,875e99b3,8d7c0afe,eb3e7491,1f8e41cc,8acf09d7,e9bc9763,697dd91b,14e2693e,81e893e1,67045a2e,a2be9a41,faa81fee,9e864071,f672c629,119b10db),
+S(da913380,16f20888,9bfb4371,82ec0b6,1efa4d6f,14eb6f3,808c6b81,2336be7d,1776f0c2,f3cad01a,a0582732,2d2136dd,7e6020e,237a1329,6377b1a9,a3f411ea),
+S(fd413737,14e6b895,9a289039,3370617f,37437de7,5c3061e9,4bd5d61,d1dcb42c,56b62876,86af6b96,a73e041e,2c45a439,468e5e18,2d91d9fd,1222d732,eaf1dbf4),
+S(d39cd710,47956112,3e7679b5,cd14f400,8e1b6524,8d16d1,9b4313fc,8af4b38f,ef65114d,7e747603,b9ae1127,e1fbbffa,f488462f,3aa38844,dbc26e29,abc314e4),
+S(617a173a,528ce0be,77371444,9ebf2d76,f9b58ceb,6ac21d58,885f1dc8,693870a4,52715ae3,ce098246,c6f08660,6e9ebf94,14266165,a354d81e,fb48c9a1,13688e21),
+S(1350609,6f5c3382,b280837d,e640c142,65ad14c2,d06a95a1,4838014b,12569784,ac6f4d30,443fe46e,236f331d,980ccf92,d8fc5928,48a75841,c7e9f328,6b25f8ef),
+S(494ca163,2000b61e,f513c04c,6f0c2e72,565fb1d2,ed371c25,8de1713e,d467531,611b3bf6,6b9efbfa,f6efd046,c426350b,cdf5536f,4134cfb9,1b4a3225,b2f096ee),
+S(3fb9cb47,b84f05fe,72df9ab2,32bd4e83,da049679,ae09a93f,4081cc49,660784db,d9628fcb,1f9deca8,79d19c37,59845e55,94effc2,f0364775,9fe3838c,2674cec),
+S(496f829e,b09f2d4,ff69b9f,d4e058d,de547d2d,8cff573c,3728cabb,eb59e58b,64bbf6ef,fddfb044,6e20d42d,4b34b3e4,8823839a,be3a0fb1,2654b8e9,b13a89f5),
+S(dfce1042,841252f4,d1524b2c,817f3ce8,85821df9,913048e0,21aba64e,eb10799,118a24dc,eebd2a19,df7b2b0,71fd3073,e21c68c9,2aaf61c8,1fe1afd3,13dafc47),
+S(2c1b46,91eba809,95ae941f,70cd60ff,a8988faa,e115c265,3c5b94a9,1e26a0d3,6c50b88e,cdd60794,32bae140,90afaee3,cbc38f76,7f7c5463,c244f9f6,54375ec8),
+S(f8d91c91,1fbdf774,6829c779,cc7eb877,498b42eb,fdc8dfa4,3c81eb58,2983c45e,b80c785a,d936896f,504215e0,92eb3365,344d9a6f,763e1361,a34fcd5c,9b489f7),
+S(cb9e013f,95b3ef75,2a9a15a3,5ff471c6,6d25acf8,66e89c79,f963666a,c299dbeb,3b117868,5c7e93fb,6c920f4c,25e48118,5f3e8f22,552b4e13,10dcbcab,e0e31d2c),
+S(6d3a170f,6be4f0d,6c915593,7c0c7e8a,d43def0a,54876947,a36ff7e0,3103aef8,6fc40770,541ef68c,1d8e63af,18d99209,9313c6b6,6e1fdcfd,359c3a88,900f96bd),
+S(ab498e5b,49558ca4,2099c7b2,14c070d,8d61e649,73fed001,11b526eb,c3ec6474,189c85f2,b1b63783,877f008d,b2ebd590,37dbd82d,865175b8,5b6376c,b2e265b5),
+S(6d969788,f5204548,d2eae98,87cb5e1b,429a8fa1,8f44cd3d,32f36699,a9ce6671,a08f674a,8de23cec,d0c53cb6,29cc24ca,8c5dcd42,4ae8a7d2,8d43f2e7,57c70317),
+S(3b5f696b,5d15291c,75f915f0,f043a622,1cd58678,6c7a0ae8,4533c0d4,d4ef7b58,7aee88a0,c4dd59f2,303c8b80,ed337b67,da3b33ae,fdb66c9a,3952df26,443bda02),
+S(4905bed0,798f2ffe,24decf40,d3695efb,deb8fb3b,bd734395,3b027e71,9b8d057a,4365db64,4c598c10,6e4e4e91,f67f44f3,bb62140a,b5298f79,2ce32668,69ad25b4),
+S(e1cb11ee,ecf54858,85575261,b749e51,db6cc08a,347fcada,da4dae9c,b6709ad0,a02e375f,da9346e9,f2473432,d74debc2,f70f5727,94027b27,6a699f0b,6206cc83),
+S(53e44395,533e62a7,3f97e7b0,d449283b,7151a653,1b13d03b,154f458e,c839c5fb,ac3a2b9,c9c3f174,ec24deef,e16d8da7,f04e7776,9599207e,5fb71eb1,4dedde61),
+S(5946135b,230ce11e,d28d5222,ae55d780,dc8d2fde,53342755,76546af5,d493426a,198b96aa,f9922a55,5910b8e,b8bdafcf,d700b230,aa926f90,625ebb56,4a8e488f),
+S(4a238646,f0d38511,6d1b997b,6085d90e,b79b1289,53861526,55e60f79,6d378304,99da664b,5f5174b4,1dd056a9,9189e563,55d04622,17d5ca49,c61d01a4,48c94c47),
+S(7234b856,dbebdbb8,f20c1fd3,4b719188,7d4ae91,3c596418,2a8455ee,d8fa34d0,2a6b196a,2eb98ca4,fa3ab40c,2b96ca16,eefa888a,5cac8676,d4f4680a,3f9c2b01),
+S(dda23494,413dfc0e,f09cc4f4,8e5968ed,f9366e4e,6473afe9,eaf26c0b,7c50a347,ed097195,60b470b0,399aa60e,7210d398,eed8d9ee,1f410b36,71e2485c,c7e218c2),
+S(8a8c177c,4617c43,3fdcc6c0,8685bed7,3dbe567b,31773907,acf77cdb,d95ab7f0,27adb686,1572821c,25b40be6,524fd3ac,d801877a,f689f4d2,aade7949,fc3b2248),
+S(c40b2617,dcf23ff6,f1bcb76b,dd96a198,7e6ba559,1b14b267,42d5439f,653eff49,eb18ff9a,61e73c26,3ab4eb64,aa53a301,97325c38,2fbec2ee,407af143,7e102468),
+S(eaa452cb,813053ba,da8be243,c5bb6c76,f3a2e87,97a5f83c,af7d15f1,e07d8088,15fde99f,89d0c428,979e0b96,83cecfd2,52117580,1dc8f7b9,ebbb1fd9,f02199a9),
+S(5fdb7a4b,1dfc0d2e,42c10078,25da5cd5,a3b90346,daff2152,3b9b75e2,d1855fba,3dc00aba,890bd133,6ac4d676,9aed62df,db9a281d,2412fb9a,8e9aeafb,58bbc5da),
+S(6f7cf42b,f4b09098,26538863,6c24770a,2c7789f5,dd1ffc5d,5382bc1d,fbb6df44,5ea4dbe0,dcc4a01d,4d7e6660,3026fc41,f0dfa1b,893d4934,5d05d75c,6faecebf),
+S(1063f63e,51e3aad3,bf91e892,8b1b8fe5,1b941177,6580c056,60361280,63fc7629,6565cca5,5de4a54,777b24b6,7753a880,7155d632,5bace707,dabb9062,3bdb9b37),
+S(f0d88838,9ed3ef56,688985b6,6077fd8,63f2e1b1,67cca7b1,e135a7a8,343e6b55,1764653c,86deecf0,ec350009,1f320d07,db1ff9a9,dd497488,386b2006,e12d2ad0),
+S(9ccec5a2,869a95ed,ac9e3dfb,c19c552b,5f04ce3d,5478b16d,c28b6fc6,8b8ba0cb,838b79c1,25b010a3,624be75e,89dedc5d,9b6385e2,65f4283d,93a5271a,f896d0f5),
+S(22427c29,2f19da5a,3e4a0454,9b3b35f4,901e2ac4,e073943f,5c41c733,69d5fdc,493252b7,a0a13723,baf56860,949490a9,15f2ced1,cd5c4207,9ac64efc,c94c518b),
+S(78041b80,76e8935a,986a269c,68fb1bca,66d1f84b,3cb75ae6,bdfc7428,7ed74b9d,4a73feac,2a7058a2,f193e338,607c4f39,41aeeabc,d1126f0d,f4917623,afa180df),
+S(ddaf719d,78d58c3,ae253ba,9cb24640,7c589367,af122d0d,a9a38d25,1d1aa757,8f7e649e,ab08bb70,f052beeb,46321ccd,9f8fba5c,e6e81dba,40b7da63,d3aa8c63),
+S(3e28ec5c,4d9fac25,17b857e2,2d1e2c3e,fd9d507e,3619a21b,9d957588,769e5257,fe8b4326,fa187a9c,fadb417f,94914cee,b689f1e6,86402e88,d5a8b8e0,d9ffadd7),
+S(2c659f7d,37d2ac1b,e372dee0,f6cb4997,c7dd990c,e8b1f06d,79b49aa5,a8a83ca0,c90bd67,dc1faad2,ab4086be,f7a6b310,39592bf9,3a949f0c,5793ef46,d9136fb8),
+S(d4afa87e,2dc5a4aa,d001b27c,87989350,1afa374d,85a2002e,e5111bf5,d7da03a4,39d697c8,614df67d,295d7fff,20a0e333,6045bba4,6d565962,91665f18,83816707),
+S(12de6449,860786cf,215f9285,a28946dd,668b0ed2,f8a0012c,c785f441,3386271d,39d68f4b,42aa5ca9,99c1953e,c216418a,7a1b83bc,c534cd8f,f50dcb25,2ed08d61),
+S(19e539ec,986bc292,c0993b43,e8f03988,81fc72b0,53d530d2,812c971b,b53e35a3,41e96a03,31462b0e,e38f6a2b,774e154c,22ece598,7400c199,4aff2beb,340dcf8e),
+S(3a6d63f6,e0083404,c768869c,a180b659,3efda9eb,f2a38385,7bc32e84,5e7a9f63,2897d84d,a8a13aa2,e2b96f22,d97fac13,5e65739e,ce341c1f,1e188d0d,6b29d765),
+S(6fbf7d9c,5238b959,1e29dde1,cd092621,86a3f216,c8252b7d,dae85433,b08e642a,7a52157a,6c78af5e,2b9c21e6,64aea1ad,36bdf11a,459e2fb8,205fb818,d6f635df),
+S(6bfe3a73,6211e70d,78be3665,fcdca331,a73d6a3f,f2cc9e50,df5b87a9,737b6d1d,1809c07d,7c997a60,d2bc187f,7ff527ff,8f162fea,10475684,6cd95920,5233391b),
+S(c6f521ed,441c39dc,23c11ed4,5399ccd1,4b83e00d,524c8163,8cb0c0c7,ecd3a0c8,dfccf249,6223886a,e520ed1c,d84f4663,b44aab90,85ed836f,756a3b16,72775f4a),
+S(be39757b,c2537f0f,c4c67c93,f2dc2830,b464d3c2,672f3d96,8051db68,57e6cfd9,30047462,b2f2ec23,2901060e,b05f6697,78fa42ff,ff05922b,2c253927,4d350a9f),
+S(8cf591a1,9c98e274,a83cc687,ee992acb,3255320d,e3cbbea6,57fc790f,a2b84d0b,1f2d8a14,66b75c5a,34e9ba8f,6e96bc0c,6ab5e9e,e704919b,96a8d2e,87e29f81),
+S(339c0d5e,5e28c33,b298bbfb,73ab7a8d,89f4b1f2,6ee853a,83d9865f,3480166,b63bb64f,7c99b7d1,15430fa5,125552a1,201fbe11,c1b90f69,a539e6e0,a8c2bf4f),
+S(7ea652d7,c3309dcd,70f21d5a,e0fea7fb,81790527,c75a51f9,a37beaf2,ce867e72,22974b39,a028964e,97e00cc,7ec3491d,fe9e010,be520d4a,f2e8139a,1c602296),
+S(23975673,c1723378,ecf11bbb,90d963dd,ae855472,2321c50c,eaafdde2,2a825762,2d1cd4b2,3aa66041,8fcdafe9,25ad8486,5912b905,b77588b6,deb97db0,effc7ee3),
+S(52c0516d,6bef62d6,debd0879,9c96714b,85ade01c,1748053c,2e4647f8,f28e4594,deeea364,bb534e70,b74aee1f,95f528fe,e0b8c239,b6a0c228,1d4b5538,41f0bfc5),
+S(a19f26a1,f4fa9b9c,42ca111a,a2b9492c,b95a792d,d23fabb7,e76ad6b5,6117a9fe,10f990c9,e9554447,ab030a5e,2db24dcc,80f17142,aa450d5e,930851fa,8eaa9a40),
+S(366786e5,76b32325,1e44e4f6,e5d71c50,5361f771,8e355e3a,558beaa9,52d4a1e9,e76bb0e,ec2325f6,144801e0,d154bd6b,68701212,7233da5,c0daa306,2217c839),
+S(ef26121f,f99a553b,ecafaa00,95d9e06,92fac8cb,40ba0331,1eef3b0f,eb291181,5d32068f,a1e9bfa1,487c6993,305e766f,82855bf6,b91339e0,f8804e01,6b6b8691),
+S(5d81302b,9d653515,2e54d2c2,10d8dcc4,3a28393b,1da7402b,30410551,21f19b41,5094a844,9dde9d3f,3113ef85,9a0bd7b1,d1756646,bb793080,3007b2a8,f9068fa3),
+S(c15513c2,652f8de6,ad273db,67312b3a,6c6c6ef3,7deece21,2703ea2,234cd929,64c2fca2,a392d4fc,ca8402e,146da89,593a1e7,25e34bd6,9c577238,30c4a449),
+S(c265755b,5f628680,327c3b04,335a4b60,dee266c0,dd3bec93,708a20a3,c3ac9c1f,1367223f,dae8a304,b32c97b7,505ffc23,21d94115,579a8ca,638959d1,34dc21db),
+S(d4acca04,42a53b23,ecc67ae5,d81d147f,ed477480,609fb71d,f0fff78c,20adf544,8b0aa74d,88f9fefa,affc2acd,d36479a9,ac814b3f,8cc3d01f,749ceb0f,9a90f052),
+S(2a8cd5bb,2be61c60,615aba87,6df1508d,37f61b15,2429d10b,1f06599,dca26b94,8e6cc5ca,abd1c09d,4615cd80,a582bb71,156be2db,4876720e,6ccae849,5990756e),
+S(74d6c1bd,65f37304,360b58bf,c443701e,f2be71f0,b366bd38,f29b876e,954f2f40,4cb209e0,6aa2459,4583b12,8572d25,1c88a2de,6d54057d,19c270d1,bf9c8077),
+S(4baf4424,d78546ff,9b28f46f,ab97ca02,94ca48ac,812f13ba,7cc47b4e,ee9eabfc,b4910b45,5e06246a,c99febc8,af1cb0be,807127c7,28e29c16,a94224d2,b633065c),
+S(c69cec47,387ab1ac,d20dba21,54625cf5,d42d189,3cc782c3,234e204c,9b7f28ad,514a7b5,fa667f36,bf4df18a,8ced613d,f8579abb,3e90c470,66c40280,85f0de84),
+S(7300a33e,7d50b348,c28b4769,8cf8e011,ba6388fa,54a2dce4,7f83968,7b05d5e1,d0ac31f8,1958f36f,9b403154,b6426faf,73078ae2,6c4675f3,19b3bba7,c5c7128e),
+S(e989b465,c21d3a2e,60687588,73333148,1e58b3f3,e0bfbcb6,efdd60ae,204e408e,a2d6a205,ada25071,c981db04,f857b005,9f906977,5d607958,7c1479fb,5e44e121),
+S(c6afe364,f87a2b1f,92633e44,6b7aaa,74cb626a,79d6f325,263f1b7d,e5af90f1,87197fb9,861d254f,bc8be0d3,afab0831,9064dca1,7e8e1f66,ca55accb,f2d905f5),
+S(8a026fc9,1dd4884b,ec8a7e66,cec8b7d8,7b9c78de,127dd3e5,40324032,78f70d22,34cde629,eb1fa38c,d533eac5,fc39bcf3,ae67605a,1ab75537,577a577d,1a75d079),
+S(20f33fe4,41217692,124914c7,1750ae1a,86309797,7fb7ccff,93786b98,9e5cfed3,3bd39c87,c3897ed5,52f4a1bb,d8791439,5f1d10b,d827e22,30090b30,7ce9e6fc),
+S(47e43518,4cf5e087,3a1b378f,cfa19adf,42abbab4,e0aedc37,2a7b0d0,1033c0fc,aa16a1a4,cadbc035,d774078f,231fe564,53c2b736,858d913f,b90169a5,3951f31e),
+S(8fd41b49,adca1b48,574a559d,eb783fd6,6a8c61f8,ddc4950f,883e79f,585351d6,60409c9f,d705fe6,67d796a5,4c0dbd78,41d1b4e2,57f8747b,f69c01d2,7cac9bc5),
+S(2091cea6,d9c5ac79,3c3dabda,89bba911,8d96dec1,42f77c5a,83e85c75,d67a5c91,493384b8,83d83be1,b1528700,6f466ac1,b9f5873f,4f99e8c3,b6077594,b8ba019e),
+S(ecb086f2,36fc71ff,e455f9ea,3bd542d0,18d6c2c0,9564813c,5da7fea0,81568b68,24603a60,7f05cba,4d10fce,972241ca,f05b491b,dc2f324d,8fa93ec3,99359a2a),
+S(364a9ddc,759693ea,cff66ed1,74e7c450,3197a2a8,a743b2eb,b7065e5d,307d4d52,11184aad,92fc83bb,11752b22,6d0290eb,725b5e4a,a2e6e25c,2095ab26,e34764c9),
+S(3465069c,a194aadb,e5ae30df,f2d6eff8,1dd3acf8,7a01f6f7,38e24347,b2c6ee70,ded48ab,ac058655,e27a52ec,3ad5b9e9,d1ae3c39,25f0fcd6,b6e8ea5a,f490d15b),
+S(ed1ee361,9b6709d7,cf029876,d9ad4ac,3c3bef69,c58476f6,ec719730,1f29eeb2,2c775e17,43f8422d,83b76860,d8a244ca,6a0abbc9,590a3249,1fe6817f,f395fc46),
+S(194c6897,27039b42,d9d7a7a1,fc1cc4c0,ae1c16ca,9bf576d0,bab0ff09,c6d478a4,21e309ff,77590d33,9c408879,315c64b2,cfdd06c4,5b744238,1722e974,8f78734a),
+S(6e9c1ed6,3fa52d39,74bd11a5,f32c382b,a6ea80c8,109a630b,39cfb9ef,50e92ca,edb9e34b,eb734475,ae167b20,900e86cd,134a2d6b,568db142,22122a54,32ee140),
+S(b0db1eff,53cad7cf,ba686559,80c0b90f,6f8f1747,fe53912a,17d6ed61,c696a010,a3f2b2f,110e29e3,8d6a4518,18f04f79,6392b2a8,2d2dafb,6f0a627f,d9fbad48),
+S(185fcfdb,db26b6e2,a1ebe2f6,b28b6cef,d02132ca,aa2f53f5,af734cf7,cac6e6a6,754e39e,62471511,e8d077bb,43023072,a52e9fab,d987066c,e5327cb8,a12bd843),
+S(434df3c2,cd69896b,fe2ecfa6,6a9c0107,5d12283a,4a34fa68,fa2cd077,da271328,fc13d680,92b22495,fd846672,901e1679,8ec01444,5b25c11b,79ac93f0,423ae41a),
+S(c2d222b8,15409db,6a5624a1,5aca06d0,56591dd6,10cb3b4f,bdde456f,608e6849,63a0a035,f5705e5e,17c95f7e,a0a93926,9da8894f,7b4f607d,b47fb04b,bada6261),
+S(7c88c681,13468659,d7d89b,477ea11d,5f0443c0,cfa3baeb,6404a383,8be05b34,34b1e4d4,4a29b75a,8f6ba2b4,cf35e7b9,a9953269,30cab213,3f21325e,6f772cb1),
+S(42426b3f,833b995b,825bf9c4,ee753d65,ccea144e,8cdf413a,63520819,2f1c79d5,8f188fd7,890baa42,520f957d,a12376c6,23c894ed,e48dc7d7,a8ca9300,77b9df19),
+S(560c13fb,86f0a75e,24a24647,11be1c46,d7671f58,fa9c7340,df201d92,5c574518,79f5167a,315097b2,ba5bc761,34f19125,671f67b8,b9b64a07,ee8414a8,f0194ba3),
+S(2dee64f7,6cb69a16,aa7245ac,afebd2d,6e46bd1f,4de9af60,fbbdad76,a84f3854,7196b1d2,fa453e67,7fe7a5f5,73e51022,9a7b7539,af0fd02a,b487cd57,46f970f0),
+S(31ac84c,e896a814,3a978d7b,ed2a3ae5,d0ce9783,6717ea8c,1f44999a,d6baf5b3,24096db,a006766e,b9be4e81,9d53fb2e,c145b7b5,13cc77b7,8d175cbd,160b86e9),
+S(af903e81,1b36c12f,b263759a,7905c2b7,d5bc640,ffba9974,86eabc6b,b639af8d,efa986f3,84f8ea74,2a1be187,55b500a9,22fd9ffd,5a54515e,3e5ce3fd,76d59f48),
+S(cf6257f,bca09ea8,34d9da9c,b208eb8a,9d7cac38,5b6dacc3,9863adda,4eaac68b,189b50e,3b68290,ac0657d7,9e885421,e90f270c,3bd0528c,fdcc1857,9f403351),
+S(32e61b5,f46e796c,ad8bbd01,41004e5e,81a2b2c2,8446352b,749f1840,9ab2e076,2ad27a1d,ed77dee9,f0ee3ba2,fe97d752,3e974514,ccfd3988,a7f0e1c2,3ac6059e),
+S(5079d7cd,fc1f0f4e,decfcfd3,ee5c66cc,beb84197,d1cb9836,e04a7ee8,5e76fb94,5cc95d46,ffcf5873,cfffc0df,6e8c2599,a358fb46,3ea1baf0,225b7fd5,f6a3bf80),
+S(b62c8158,5be8295f,29472b7b,b1cda9cd,bd61f9c4,23a085eb,1a31257d,fd72cec6,1d9fbcaf,7fb9e15d,eb992ddb,d09f91e7,f3c9dfd5,d4f1601a,1c303f1a,657c2b7),
+S(1c74344e,8088b2d9,1d93f5fd,87a92e9b,9d97a160,2d8bfe33,d8b90b9c,af944f28,a8d98144,3354526d,14d03ae,3a2d2a3e,ad88c0f0,8d9cbad6,666f533f,3cf56656),
+S(12cd5403,87768461,8098cc27,ac7e7ba4,9d697ab0,188aa938,483f06e6,7c94e95f,8c0b02f0,1d3836f2,7e5a5028,bb061a32,3389ed3f,fb1a606b,9113c205,9004994c),
+S(36abd4f7,7f45d01b,2347a556,ed4c01e7,4c82611b,7e1afe94,13c43e71,29d36406,c160f21c,f4befb28,60ae1ae9,e7da4b16,242b3c6e,f129e309,7b3738a6,95fb9223),
+S(199740c7,91588e9a,3c5fd265,19624ff8,ecd4335e,1fdcc482,749821c7,b0301fe6,a316790b,5704bab2,1b6dffcd,19b15604,c30b6057,8543ab6,a3f52de7,ea459c79),
+S(14dc3eb3,59ea830a,b8827de0,59db6f55,4319478d,b4750e16,80a21d62,d2d6138d,82c28f9,a3ea5004,7253eaae,2c62df4e,fd4b92fa,17fce544,3c04086d,9038f5ee),
+S(6d288843,e16918b2,5895f837,9f75ec44,36ff7559,8a26bec1,bcbdc683,3979c2f4,aa99f61b,59f3f7da,6efd2945,9e09fe0b,54cd2de6,cd70c538,99def857,4e0805fd),
+S(9074a3f7,709dc3be,c191f276,a425278,e1d7bbb,a33e080b,cee68373,6f49714f,3eed8639,fdcbdd3c,56ea731d,dd99f99e,77a59ac6,970318c1,7d7c0801,f71b58f1),
+S(b9789069,f400101e,6120d9e9,eb95ac97,203bb7b9,701578b8,364764af,d9c4f9e6,afe1ea3b,2634c97f,75e0cc9d,29d9aeb1,c035a048,a68aef3a,7c21bdca,e55c7c6e),
+S(55e06b0e,ffe9047a,dd0f2d2f,567b0dd7,d67a589f,50cc684d,88a779fd,c60ebbd6,d0d2b49a,c9347ac4,b8143fde,23b6ab2e,b25b761,4dd862af,3a0d1dda,a79175ba),
+S(c81b2c54,96a1db4d,aec6ca5f,b8b0cda0,68a7a049,6fed0d3e,3dea861,27337291,d11e206b,26f9daa0,731b4c28,f65feeaf,8e78f6d8,cf3bc973,873f6d2d,7d2f0d3c),
+S(b202ab85,678ad74b,c007535,1016a995,5795ae15,3dc85df6,2d7178b7,e5e37cfb,e6f922f5,6c6944f0,2e643a19,d39c120c,4cb60a44,af353de2,ec653179,9ef84da7),
+S(ee0deb59,e956cba8,cb9ca8fe,7c86da8d,33e1287c,616fdec0,1ba68ab9,3de8632c,63af5457,e9b6af60,9b1dc6ad,a19723a1,23e710e7,d03fe98c,5f709c1d,2456181),
+S(e7e8f3e3,ca10115e,c7dce3e0,5dbf95fa,f39f537f,b8af8d86,773d9684,8417b28,158c1768,814f518d,a0904747,b96bb7fe,328f8e45,df9c2c35,9f192789,2e7d2441),
+S(3b8e4edb,ab45ae8f,17670b3,ddc01fc1,7733143e,208498af,931234dd,c992c51a,e846f581,2a049bbe,94d59a62,dd43817b,fd635e7c,8eb9ca19,80b6bab9,96211c4f),
+S(9117c67e,ae125762,75694252,bd88c13d,5aa5786b,2b01aabc,319c600,86b4c26c,c86a9fb,5ec90f3,a2ad0be0,d36061f1,e572e1d0,63034c81,5285a389,2f05bba1),
+S(4388869b,17025257,4b754639,a7da1513,1cb9e2a7,b93ffd3f,2b254d7f,430cd1e8,9ce82f3f,4780a2de,f60d4dc1,cfe83ed3,9eac907f,4cf180a2,b829a0e6,292ab6d7),
+S(98c583dc,d55186d0,54f3858b,ca84df9a,ff66e333,3fadd076,53cd87cb,66dea0ab,7877ea9,d3a5acb5,553d45b2,55e4ff92,47842b51,4342cdf6,667f83d8,a41b6155),
+S(86c393a3,e24b29d4,b26ba9a0,5ce4e1bd,29214489,cde00c4d,1f4ec788,43409ef6,700b9044,8c95138e,a0adccf3,137fa827,702571fc,e1731223,ba1b4ea1,4a37d06a),
+S(25d6bf73,6966cdb4,6fb06f43,83c64965,d462e118,258c36e7,76d4e193,13c0cf5c,99a98bcb,d518d7e3,7964dd4d,d677a735,8a886225,28df1cfb,f6d0e999,259e680d),
+S(4e3dc2f9,cda6d077,bab34d7b,3dbfed33,5c3f85c,b350f895,5c8811f7,60c61af0,4f35e49b,6b8137e8,58c6b2f3,81ece9dc,de81b5b6,27e6274b,53d6a0e2,c5e01652),
+S(4ce8d8e3,5f1a301e,c2dfd13d,43ad1f20,ae756b0b,34ef7bdc,a8f30c70,194f3f15,7e2508c8,324b8e31,2a603176,b1fc0a33,dec501b4,23e73c2c,416aed6e,2b19a3da),
+S(2744cab9,e7999a7d,901b91b7,4d221bf8,be41b064,396be42e,46c80536,c5218267,db9b4ff,80782ddd,d0701665,43d94eed,ba19234b,c1881bb,47362cb8,8d90a0bd),
+S(90381b83,5adc54a2,d7bc1e27,2f7a0738,dbce1103,db2b21c3,3c45242c,1ac591c0,a3c25f2a,333d8cdd,256f6f6d,d5a7e34,3332e527,50a12a2b,fb00fb37,3213d22d),
+S(abdf4e8b,2437703e,6125dfc3,a33d41d8,b7ea311f,fd9b62b0,7546f6d4,8ed7af05,77a66284,1cdc961c,ac1b0990,5877f7a4,28213472,5e95684b,461bac1e,de6bffe7),
+S(9f31c9e,6fe48e14,1a9bb99e,75486eb3,5896f990,e247bc05,cb648452,75cb645f,3ae168e8,b4ffed16,bec4422f,43385c17,a83597aa,692b6097,e48e542d,98ea4932),
+S(2801ae6b,2083f345,6840a79f,23d638a9,a878d689,39651668,ce82c0f2,e77bb8ac,66f4fca2,c2fc9926,36ed5d9b,5b070607,f0e75d2,8474a8cd,256db66b,d4cd0d39),
+S(c307afc2,d2de5ab6,3b5c5d6d,4d25c03,6278716,37f20fc2,175f6631,55172255,6f287265,4d518555,1da8c16b,9d0dcb2a,f0843b68,a3a756c5,5b6716b3,b151da1),
+S(e0d0f3c9,866512f1,f78f58b1,8e573d98,6c5d978c,a5f6e73f,75509808,b2b90e6e,3c766220,204ee2fe,9d65a7c3,96e37c81,cd2de736,bfdb6c89,48f59394,38df3cdc),
+S(5dce8200,28630e45,1b754c65,8946f4fd,9e4b15e2,e40116b6,acfbd145,29ff8a3c,af743c2e,5f578bea,2c9a6323,32f8fd0c,be7d385e,1e84d6e2,ccc52574,39ff3e41),
+S(cf6f6b23,5d10351b,73664b8d,4e2f407a,38fad688,fd90662,29459b13,cf84acdd,c20ede1f,ca2792dd,c5a0d88b,bd8befc1,746a137e,d25defd0,c8b1c5e4,7f3bde93),
+S(e73f238c,62efe49f,97359a82,467cfaa7,a7fa39af,35223bf,dc2e82d0,6162b6e6,14ad9128,d74bd306,b91df3c3,c846f203,dabafc11,49d2e8c5,99841964,954b51f9),
+S(2aafc65a,f573533e,8d8e1ab3,19c11cde,60a02481,32296117,1455fae2,4f5814eb,a083c95e,cfc67a96,1f3d8b7f,ed66e2f3,c3f6175d,512a38f0,b6d974ba,cbaa4509),
+S(f278ec4e,b0d210e3,24abe42b,d1d376a8,244d28d8,614b1260,e48214c6,8161b90b,507cf667,3bbc53b0,d507ff6,cb4a1c79,745b483d,487c6934,4fb4401c,275f4a00),
+S(29bab26e,23fca95d,beff49f8,e5b742ed,2b32eece,f7f4d696,4a88b4de,d2b773e6,2e1b3d56,7afd6483,7bb7af1c,7be68427,bbfdae5a,43907e0a,d1f4d3c3,7ce44428),
+S(a3a41ab9,8d2804de,81077a4b,73fb3832,f90edd3,40118b32,44a08633,1bd21c5a,5e292792,a0cc3fd,1df5f1e9,7c639cdb,f33b0f21,cf536e64,a2354757,ed523641),
+S(3b84dce1,5e9b6ed5,b40cd906,c22a08fc,5a637d96,71c91615,d4038bb0,a3e6affb,7d2729c7,94a19c44,18851c6a,9b813735,f53bba0b,111eab88,b29fa27a,1d189b24),
+S(e1a1de5b,2893e1b3,fd7d434a,d22493d5,1479e56e,2bd1699c,30fc8ee6,58c6c13a,c41ada21,d2d07fc4,f26035e5,b4d1deb2,15bb4f2c,d050b300,2d075f86,516a2ce7),
+S(23b7c994,1a9a6b03,50707c20,3363b025,665fe450,bf5a89c9,d0dfa7fd,84ea303b,ed7e3e90,c09805b1,46f1f365,45fd2899,ef75f01b,47d12fed,275936b7,e2682da6),
+S(56cce967,aeb8e65d,7f2897ff,e881e695,d0260f40,fa8facfe,38c0a050,19e5b160,aad07728,b298e06,ff562b76,70ec1717,c80f136,3ef477ac,abfb3b78,fb655b77),
+S(8bd02de,4abac82a,3b50d1bb,7c721a38,9cdc2812,2dfe48f3,fcd30969,4d0f4191,5be841df,84a2251c,e69c2f39,690dfad8,92620119,7ba36028,861f6c6d,d32a93bf),
+S(43b066ff,fd91b621,fc9b062,e0f9d362,bf02e492,f764381e,ba49a4f,2fad5662,3fb10c39,cf37eafb,162efc89,f548c8f4,eb5877d6,7e8587f9,4b8b9ce5,9aad7164),
+S(89ea2a07,bfc99034,c3e9e7af,ebf87fe2,2d9b23e,e62e038c,321cb2e3,dbb8c7c5,c3069964,6a19d602,7f3dfb8d,9008556d,f969f576,61e562fc,8356c3b2,d3159a50),
+S(6c382393,553e177e,164c1f38,d403df46,d05c856e,a41d7d71,3ac0cbad,1f202019,2a716067,37801041,46212c8a,4e6f7716,4c57ab39,df129e77,f31631bf,3206696a),
+S(aea725d7,e59c8ce,b646ffe5,d4791760,988e4cd,d23e38cc,cbf610fa,f7066223,e0e7929a,980ca7f2,2fb46dd5,4e1b879d,3e77358,f42208af,d1a3a003,3ba0e593),
+S(159ccc54,b888fc90,1f75e688,def8712e,5f79491d,5d47712d,ba3b0c12,ae2f4c84,c1ee2b1d,ec27ac4b,9f8ddcf3,74cf8696,6b353204,690b4467,d752edad,53ff5804),
+S(aed9251,982bbf59,d7cc815d,fcdcff0e,76adfc30,61a042bf,1cb5fb3b,60acedab,6e90b10d,a2b23e6d,9a2abdf7,830906aa,d286c9a9,65f28a32,ab9ced92,5c966725),
+S(4d669885,c053bf77,f1126cfa,f8db351d,3642c916,1a01d76c,8fb0a20a,3a54adec,6bbbcfe9,ac74987c,2e50e036,74e4ede3,5ea37b79,ab8154a4,396a15de,dd02865d),
+S(1240d1a8,a04fb12e,813feea6,d0a6601c,9e6caf03,64df94e7,d2a5b522,5994ec2f,bb502ef,dff84c2c,17dd34c8,909e5a4a,cc1e6e64,aee237da,b8485004,9d09c5f),
+S(7ccdef5e,4543615b,a07a8dd6,419926d4,47fb6eff,312d638e,3f5b0363,7d00a96a,7ca83bd1,3f056f7c,c46e6f2d,41ac1e9d,846c5f6f,570d956f,4c9f91b2,8e95a5b),
+S(5c30be59,1bdbd093,321d2fff,ec167539,d794e22,d4b2cb53,d33c608b,cac23f25,2e44eb7b,d6a6a544,99b28ea3,865db2c2,f53de940,17e8a03b,e34ed7c8,fc70b64b),
+S(fd59cf82,8f64f7d1,10c7137c,5d091b3d,7fbef206,1d2ce5e6,addf2157,c83c0578,9edcc796,7515edda,bbf4e048,5e70bd50,cb9dff87,6753d41c,6f22241d,824bd7dd),
+S(5be3a507,ef4b75cd,75158a2f,aec4a5a2,d4cb85b3,92e7ccf,506661b5,5c77e277,92e45bee,9d914f7f,7e687de2,f7eb0004,5e9f9628,3e9332cd,97f5fdb9,a21a937f),
+S(d1c94e0,473992b3,307b9031,93785bc1,d2c2d14b,ace6ff4a,8fc7b251,e629d3a1,9cb04ad2,8525fd34,d8fc59c7,280c72d,74fc9f2d,6ab1a5a5,c186f7bf,fb14a940),
+S(7db048b3,4c03dca3,7c53df3e,6a94d789,f53308d6,a57f347e,d32d5b3d,4ab3ab03,4a7be537,189997b9,1f420593,add91bdd,fe7fd47d,6684dc21,afbc443a,68a879d6),
+S(73005a1b,1ab1f7a1,ffa38625,e0d37dd1,8b54f49,34d38e64,832a78ca,c51b7e5f,6f8b689c,50fe7da2,27cc8be8,cd066588,30d4a2b8,1e80365f,526f590,96508640),
+S(34cb6623,26ea9b37,c0f47c45,acb2dc87,92471834,84f9357b,e8d4894c,d4d3dae8,ae989ad4,96e480bc,375d3df,61fb2ae3,a18e6100,cbe1a40f,d090c5ea,8ebcc0c9),
+S(ef5c4b6d,cf92cf9a,cd00cd86,63a44223,a49120aa,bc439f72,e6a6a7a2,13e206fa,be4790e9,d1982dfa,5e037c81,ddfdd6f7,802718e0,ebfaacf4,685a1f2a,ff9c5c38),
+S(32cab877,84d37189,5ea4e2e3,22586a8d,30b86c1,fa5ecb76,573d5106,bf5f16b7,bcd4f788,20807923,7e5f1487,8d05e2aa,afb2049e,aa4c1dab,8985e413,f758de56),
+S(bb183eae,900fb0ca,80e3f021,64e2291,4e40eed6,ceb4d7c,89539ad3,132d628d,94bfdd19,e0bba445,d453a0a3,e95423e5,c7c027cb,fd76df3c,93532317,fe9381ad),
+S(605387d8,51ee5aa4,f39288e3,a656addc,72ac4251,5ca1c4a8,509341b3,5819c1b6,55ce59b6,8d58b114,f8a6ce41,86f8a390,9698aeaf,e1576bc1,af37713e,70a550c7),
+S(2d971b20,46f30b55,9e8c1638,fde42108,60172bf2,cc088ec6,2c845f0c,4050043d,762ce259,e63f1da,7bb80d4,b23a0368,dd0ee680,aeb90a54,a0ea814d,904b1dd5),
+S(5c89b962,e56d242,53a98bbf,14a8e0d9,c9a0a908,635f7717,ec2f2a0f,6a5c3641,28d38188,1e14e248,417dc0b7,5561a875,6163e1db,8517cd4f,f888df08,ab7f2974),
+S(3210dcd3,617fd3e5,3da2e0f1,a6d23c20,ba27c0b6,920aea90,bd87a732,8a8fe963,171d81cc,64f4e8a9,ef43aa77,95a1821d,4b672eb3,20555016,dae40ae2,2cf24cef),
+S(f00dca15,e2358867,6c9a4b9a,46706b61,af249336,99572f44,ddd87ea2,33b8b6f,3e2e529b,3010ab9c,66c73021,f28b018f,57b270ae,aabd4b4a,a2ec2a32,952125b4),
+S(9d69dde8,d344fc3f,74e9c43a,eba9753a,fc22cf58,df6a430,b86b560d,c952d62,2b667455,844a1c5f,1ad56133,99e28380,d8f2b7dc,76f80817,a72ccc87,3f376e4d),
+S(4fcfb13b,7a0c8f3c,1c2e943e,806ffe11,850cf942,bc5bade,5b4653c8,9f6a1cce,21e53c12,102089fd,1f010e1b,d009ff34,9d5e4d63,f299d613,d4492763,278ff580),
+S(9173a3aa,b16ecd8d,5c3f2889,ddb1ee1c,2a4681fc,35926b42,7411899f,ed851a03,532556ef,794276eb,779b339b,9131f8f9,bea01f29,2018498c,c77ff751,dbc2170e)},
+{S(761cab41,3916a1f5,e131f337,e9023519,6199f789,87ef390b,3f2d8bfa,b0e9bbc6,f10272df,f7e91c40,3565da85,17fd3011,bde7b797,526d3c3,f00fb28e,f26dbd91),
+S(c20afed,99f345eb,7ef90636,89598022,d06191dc,7e376b44,71036b03,1e6baa02,471f7c90,681c42fb,b2157f8d,629fafd4,87285270,6a4ab39e,c57f0de0,dece8837),
+S(c1f66d62,532b6a50,fe1c1712,e2ef2258,4c03742b,7eea27fc,efad13a3,de1ddbff,49001db5,c9b8b3bf,7206526a,3a868c45,1b45eae7,586c3bcb,4685810a,52a62978),
+S(684aaeac,cc13fd4e,d3dfa9a5,ebab742f,c5b9ecb3,81b49fdf,afc37edb,3b165ee5,78c2a82f,7e8484b3,9f808983,402c64b,4329c656,49bbdb29,1925baa4,89992ff1),
+S(9a5a9331,3591b8b2,b3381f72,7dfa6c5b,343b9e3a,1b1c9c4,c6c9859d,e82fa566,d23e49ad,5099ba1e,58d800a5,c2e658a5,8be77b8e,ee9ef143,c541921b,671bba35),
+S(37cdb6ec,c924c1c7,7fd0ae7e,d9baf38e,b46ea5cf,a161c78e,e4673968,f3eff2d2,fe025569,9a9e1ece,42619791,55cb0241,a3d16834,ef35500,7fb55080,53b161e7),
+S(7228ef6c,4acd1d3a,d377d924,46fa894b,6f29926,564b33f5,6fc4968f,f66e8ce7,d4818780,533a52fa,13043159,7b22d8f0,b8ee64da,703b9422,e903595,c78b8a11),
+S(78555ce1,101d40ad,88c9eb43,292e8d8c,683dac58,fc8779f7,db22d3f2,e2855ff3,9fe09f2e,660886ed,98f70203,c3308dfa,77476e27,e22c68a4,e43107c2,75501bb),
+S(b078bfc2,cb4b10fd,31ce86ff,35770aa7,9979973e,26595e95,913016a9,850b2be6,1bfa79b3,f43ca2c9,93572d28,858a0301,716dfd04,eaee12b4,4e13bf79,a73fba72),
+S(c3425e34,3ccc9b6a,a260cf78,7a5e15be,5c698894,2370f66e,826fa1d4,8f60a8b0,55f8dacb,54052f3,a8e42190,e5031fef,34c0eb5f,83bb252e,ac7e6eb8,161a0ab),
+S(a8360f0e,4d5fc0e,81598e83,6384a5c0,6c871ff0,d1303179,e5c1c0c4,18a2b7a6,1497e874,db0af96b,35a5bbb,e3097ba8,b6fb1bcb,4d30be17,fe7a5a21,97d0dbab),
+S(e02a7309,9807dabe,ee04fef8,36624471,fadbabe3,40507d0e,2abe4468,9c384458,59e707a9,416dd50f,fd07ad54,29d686fb,2402e768,3995c25,2ec4091e,c221582f),
+S(fce6ed5e,2293286f,a976695e,8871c763,20af09d2,14964d31,318e197,ef80a398,168b9d4f,c9521ae2,51228f2b,f8de1d2f,8b5b183c,a918ec66,3f37f62,497ab2f7),
+S(69616788,b5161a84,80f1b464,5f950703,af731632,ef807400,eab00ee8,581adf57,ab0deb81,73ae5e6a,c35a53bb,829acac1,51db1254,f73ebe70,f99d3cf9,7b3499cb),
+S(2c1bdd6a,699f2e02,66d68c5e,22d8a504,8eaee31f,b8687858,555d03c8,1633ad2f,ae63f080,98a21f05,f1017956,c9bb6746,7b2d21ac,f3057151,9fcadc8c,c97d270d),
+S(b1e45413,b39af497,da71e953,bfd13826,91ef295,da20be6a,2ea82d57,dedf0c32,a3343fe1,563fdf86,22f93d5e,75892e58,cb927f6f,7d3ddc6,68f87a61,96fd8ff5),
+S(f1a182d2,994fa6ff,b6a587bf,a8780f4d,69b2259d,456d10df,2e73eba,4aa83567,a3ab08e,99488c03,939bd170,b4c1a7c4,c0cb8e18,1a713c1a,26f0eef4,8ab805b0),
+S(840a512f,e5bbd665,83520649,efeb9284,e25fe4f9,9252dee0,b228d360,c8e6631d,899b91b7,2be1b494,1f5035b6,5c85dcda,4efa88cd,83995cf,42674fcc,486dd4de),
+S(d920a9f8,b6ef812f,c021d511,ddfca976,436dc216,36792eaa,736be182,fc5ccfd1,ff26725b,21de311,d3359297,97bb6efc,479aa492,a366a1e,a4de8d9c,f0caf4d8),
+S(2766bfc0,aa717b82,e7ad53ee,1604c5a6,2fb3bb6a,c7e4d6d1,4c71165,49b3b2fb,7a52c07e,70feace7,6ad0f704,e1d95215,b29b58df,9ba733d3,8a76f349,2c20b5bc),
+S(a503f2de,116e492d,2b8e9cd0,e02cbc7a,56ec245,5ca27f48,7d25b316,65374cff,36a0e6c0,4e8092d6,f07fa375,c7874ac5,5c24119,7a096489,766d1d8b,350c260),
+S(c2601313,43856496,92fc4795,ba6eb8a2,f6d052fe,5a8a37a5,76e036ef,163b6f6d,72d27995,ee8bbec0,de1059ee,65b8d4e9,9c828bc0,665c76ba,ff333ca,6a619635),
+S(43bfab90,2f3a90de,ab1c7fbd,92b1ca9b,577c51ec,d0a5f1a,de461c84,98eed5e7,42cd4d0c,62858547,4852a2f0,7003fd0d,e37253f6,757f4c67,c2e2b22a,2aae375a),
+S(3a6befed,24635ded,c7e2a341,64615858,d3b3029f,99a3f257,fe23725c,6a6d0e2f,5101cb68,d4f1c0ed,c4e33e61,e3f3bc1,99f81564,5aa9b81c,ee94e739,667b37b0),
+S(67805b9f,4f6b6813,16940582,7197df9c,ee1b9307,5b4ec69a,61ea52c1,788deae9,a2f64de7,3019d67a,5db36099,b40aab16,d87ec8c4,56285e01,49e382af,81b68ba9),
+S(e079dea3,f48dfbbc,ad661a6f,1c0a4627,17343004,cb18e5dd,5a7bb32f,a0e9000c,31706c43,77bd9a87,a27665e,12a60711,bf6b5bf8,acbbb29d,33318a8c,df29c11b),
+S(f530e1b8,197ba44e,b7e23206,98a43b13,f05b84c5,5e4dc48,aabc3b16,68fd41b7,12995e58,aa0dc86d,15c483e6,5d01cf7,2f6a6cf8,8b53a983,92f4dad,6bb5202f),
+S(974519bc,e9037b7d,84517dc8,a0c45ee6,a0e86ae,947b18c4,3dcaabee,7aaf246f,8fb156a3,cde52064,2f03f5b2,32c66fa3,12946f83,5ef77ec7,8739ce7f,4d45e6a),
+S(9cde11c1,233c56e2,37e93006,cd42d785,acb74be2,e7051037,1db72065,5a6ef178,6cb6983d,8e86413b,36049815,3e2c8256,16520a1a,aa7a0370,dfcebc03,9c5da20e),
+S(6e67fd2d,25a40ad,df954c26,ea452770,1fd49aa2,e7ba7cc7,17bae4b6,1fc11385,a6d2b87a,5367518a,6705af46,20ac9da2,f4c84c63,bfaaf895,449445ad,5ac0bc1e),
+S(aec9f1e1,d101310f,a682316d,bb6de79c,bac5a3d1,133051c1,2a681a97,549aa904,305ed459,4670a52,de8066,9c026bc4,993b7b9b,559fb9d6,75ebd333,2608db68),
+S(784d5905,e805d9e2,35e0828b,ac0abb12,7d1efc7c,d1b2f22b,304e142e,10132562,d8a6b329,f29221c9,344718c9,35b6cd3b,28aa5ff9,440cd4e8,6841c5c7,1c97ece2),
+S(15e2a17c,6ddd8302,71eb8b67,e2cf6b96,2c75f28b,b5d32ef5,639ced1a,b3d6253c,55ef6683,ca7b8cb0,42ef9f48,fe5788f1,4ab256ad,f6dcfc80,d212db66,a0ee89c0),
+S(4b003c6d,f6935da1,cd9cdd9c,4d4ab700,4646cabd,b7921125,98265bdb,5e2b5b36,4e621d0f,55d22df3,89c0a5d,13e3717a,eebcebb0,30d94de7,8b205a14,da58654b),
+S(3fd57470,cc7d0704,d551224,5a10125e,d94d393b,3a8eaf0f,b18fdc58,e71eb1f2,2612769b,7528f3bc,9da5a240,f603010f,272b5966,c59a7bc0,a9c751ab,8f72f7dc),
+S(aed36630,1d7f9738,dd439355,8174e535,de668758,b5b9ce90,3614562c,58c4fb0a,499e8a8c,befd7d93,a191d702,b39dc61c,1a7f6cf6,85432975,cd3fb006,e62a1bf6),
+S(2ba768e6,da7c827a,f5456916,f0015e7c,15baf2bb,ec1e8c6b,936e37e9,376bb32d,850c242a,ae59ad30,e566e244,4b0b58c1,2b5f297e,7e200e29,3a8dbb83,9c5be04f),
+S(1ba79c71,f162d72d,65821a17,6d97ee10,9913fc3b,8990d45d,5d6b2e55,4a180765,62258299,6d4376ca,5659a7ef,1771e26c,5a672521,5e69288c,ae16d819,4a845b37),
+S(fd54543f,f7e27a72,e3747953,368085ed,945e6e1e,8b16032e,351fbcf4,643efc6b,e2619d2,ee6d935a,cddbc0c7,1727a9d,f5aa2a73,ccbe655a,44a1ff7,b362d55f),
+S(ddea80ce,6f9e0bda,4d39337,78136c93,5293885,f0564b23,3c98a5ed,90ed0905,8218bacd,e6049f51,b3e36832,145230d6,776f0158,7c275d36,e8bbab59,c47c40b1),
+S(d3dc0b5e,bb26fb78,914b9c9b,30b9b42b,69f20e94,fa8dce28,9f243a64,e53fe5f4,942c3ca8,64d9a7b8,cd21a3d8,32bccab1,c9c9b297,b53a8336,45aa4356,8b1fbb60),
+S(30a0cb,8e510a1f,6ee8bdfc,f46d2dbe,be3e43f5,dff3df9c,75f96c9e,a14751ca,f43efc8f,7f47e83d,c940b8df,ab9d413e,bc4abf9d,8f8eac87,b392dd01,7946fb0),
+S(1a0fe79a,4028b017,138c1649,dd58de09,7adedcc8,c57d4aab,2bd35b36,91566b2d,340eeec,d2028765,e00dac93,ebff2589,ea9bca7e,f7b7857a,783e5855,2a0cc60a),
+S(ccd61837,a08fc389,25890e71,b13fd588,58995bb4,49e9b3d,bee6fd82,12ed1d66,92e1236c,7ba39599,3e71d1c8,44cac95a,9a61347c,b98622c9,92fcee9d,2f593ce9),
+S(3b706e43,fd96a62,24853ff7,99df5f89,8670c268,263d27bb,1be885c3,be98a8e7,4319b438,ed6d33fc,c9f4115c,1a91a954,744dffd8,804281c5,df713334,7fb2cfc5),
+S(d0441778,af56e7d2,91b83760,e024646d,abcc74b9,7e86a390,e060113f,4a01cef8,300e8744,ede079ea,eb52dfe3,f6373d25,6bb3efc3,26d80965,d65d1307,6780c1e0),
+S(bd2769fb,3257a88d,4a5f4ce5,e7fcdb59,7e665429,ec9ff117,54c5bcd0,dcea9509,df765e2a,fc7006de,2459d6e3,c7ee3823,bd8bbda2,dcbbad18,7994b09a,5059d9ef),
+S(18cb57b5,eccb921,50c8d8e7,5bbbbda5,ce182f40,67197079,3fe97b50,6c51893b,35b98a01,7f4a620a,172f80e,871e95df,b3dc4d,b30f317b,37809f0c,ba9f2b52),
+S(81ec0ee3,4d91b585,b7153a61,2201fa41,fba04c7a,50ea2910,ad33917e,b1e524f2,a53e216a,d069520b,b7d4604,9fe3ef35,74c7bba7,2cef5177,11b6810a,a36f7ace),
+S(f9a54c96,729a23ef,ad5e51c2,b8870b51,c68843ac,656b1107,49b23f66,fa013e87,ec0e8e0f,1a16aae8,c2f954cc,ac50fbbf,ed9efed2,25ecde21,dc629c0b,415fd93c),
+S(c92adc3d,c2b5101,e9ad2ffd,ea2c448,3a39f563,c767e737,a5a34d1c,e84f2bfa,3e3f49d2,10b76661,71d9af9a,51f72edf,e6248022,cd15afe7,f84e6982,a5525720),
+S(d0239502,2a0d5c8,f87f9b08,97daddc5,3a9300d2,1e7aacb4,d72dda9b,4564f418,4fb09e9a,3cdb4551,e56c2a0b,9e59f056,c500e390,e47b5d28,fefbb11a,4791678c),
+S(593acca8,29588d90,13a41f35,8dc5e41b,678c7411,164c27ac,895fa933,d1db7978,af3c448c,bd72faff,8a52768a,23c9fdf0,68b5855c,d9f022e1,6eb26ac7,454709c7),
+S(6a168acf,7b4f3a51,e56d8924,68fa3a96,d0ea4b9a,e191b860,5a6b96b7,d6834b05,f54540b1,f84d6bc6,4dac1240,ebb61fe0,1f160fb5,c00a1b24,8cdddce7,7db419ad),
+S(5fbb8d4f,4b3b8d54,a51bb96b,7f58672a,5d2d6145,dd864799,804ef496,17ed6298,a87435cd,6fc5fc1c,93c4b38d,d7b2e565,88e99f,cc32597,9fe0de65,e8af034c),
+S(8942bd97,115688a9,ad84039a,3dc0d80b,bdba443b,8431a530,60560745,876c5373,9366058f,5895e83b,9db6bde7,7da94b22,fbeee36e,b24db502,706de359,a81f74c8),
+S(3f7a1620,f93be626,690308d0,ce5a3dae,8eefeaa4,63534032,8c3adc5c,4d68643c,9fc70963,c9b068f2,f6f8813,da2691b8,de3d3b07,c7bc1390,8f8c22dc,135d0bbb),
+S(29b4db5c,7224201a,9563fc36,eb7b29d3,d6b0b640,b812591c,af21180b,9eeef26f,c8dcc8d9,8c411723,1db961a9,ea3eddb,46a21aca,b47d90e7,e10167e1,f5fcb81e),
+S(f05c4970,392d0487,d8ebe570,fc5292f8,685a4895,5a9c75d1,bbaf2a95,49d0a557,f012d939,5ac0d2e2,f694bdac,dc7535,e126431f,34b8d440,b9aaab34,23774ea0),
+S(fb2c83af,6ceec5db,edc822b3,4f1bc35e,90bc388a,5a45ae9f,7c256045,d8daabe,cf9e3e2a,30fa7ff6,30e221d5,7fca78,d4f59145,f4e1c063,2798c471,93a3295a),
+S(b63db89d,daf39301,f1243a9d,72ba57c1,31fa2cf7,fd0e486a,c39b8190,a48a3f9d,cbb7ebf5,dc68b80b,6fcbd4f5,90162683,cd8fb0a9,17142da5,aba30eb3,1f83205),
+S(c3fd72ab,c247874a,c682a44a,938c3d8d,a7ee950d,722ae51e,ae24d6d7,1ec211f9,23b0ca13,998cb9e4,216e26d3,ed9cd144,bbd2bbb4,b45b1514,e5110fd6,bab1bff1),
+S(83f1e25c,209153a8,7fd7f4e2,13328ed3,97a93191,311219ae,c36c76eb,f35e2a9,b93a7947,a553a6db,868451be,96988dc6,7a569d6,6237c110,97f132e0,89c73398),
+S(1dbec6a7,32838979,b4e7f03,bf791b5e,614800bb,39a56f68,10af5c09,f10c3eed,f06a2e63,c35e3168,4508a3f9,39bcd071,1892b16a,762bcd6d,85c590e2,92bfa06e),
+S(56e98c,c2b21625,e9149fca,61e159e,140f9808,bf781c0c,3159cea0,f7bb51ba,c5e2636b,6bede1c3,a22a03b0,818ddb73,5f073c85,105876c1,4d8f6650,92a61563),
+S(a6e497da,d0347dc1,dcf24181,efdc40c7,fb18f480,64803a6e,ab9187bd,deb4d305,88983af5,21f10582,3dac18f5,c6badc0,19e724a5,b748159f,1fa20863,9db7d6fb),
+S(bd7df6a,1415e150,9759e259,7abb9edf,cebf8e42,97ca092,60200e4f,53ce53c0,90029a06,2b77274e,7ad517a1,44e3355,f08e23ed,a9161e25,e67511b4,9f32d6ef),
+S(dd7a6f4a,c529d120,64d1e89c,b6106d06,8d17502,7f6ffbec,411d38a6,dc327745,bd2caeb7,19d6aa06,c97697af,1eca622f,86cf7083,9e425ac5,b7cb23b8,761d9c48),
+S(5220c371,8714884,402f11e5,f93dd80e,f8d10333,f9b054a7,14a1d3a3,9664db0b,3f1fe980,d62ffa5c,d50e3ac,d88aa07d,4c9a91a0,373f1541,cca46699,6c0d76e5),
+S(177ef38a,cadec4d7,d8ebceba,53a1b938,f3db0579,7c476cc6,19fb208a,1cb582f3,4f33adb1,bcbfeb1e,b9d91df,c6ce7da,6be73016,6148e3c0,eccbede6,dd3a6a3f),
+S(3b99ce03,762fbee2,81bff40e,6c67ba55,fa97842b,b175673a,7f08e362,1d6bd97b,ea6ff097,77f095c0,ad161d60,20f04381,b49cc469,c2e54ffb,1f91ec9,d7523108),
+S(5864b293,f81ea7ab,688bb9b0,89f9f1ce,244fec0c,b1e2db6f,9c83f58d,5701f79a,7f4f8900,b3b2a552,e452093c,20436189,d88d4493,12883c32,8ad48678,69aaba61),
+S(9bd29db0,c45326e0,3ce95b3e,8a1d13d0,ed868ec7,bc3fbacc,6781a4dc,90695798,7c3fc6b9,462ce670,c1f0a604,52c8da1f,47644c51,e56948a0,a4f6c6d3,34e98b4d),
+S(3a4143af,3f07e795,2eedc5d9,b3a8d87c,a52a16d9,9839bdbf,b5b80770,38e03b17,aa749ca6,9b2d316e,650384e7,19d775fc,6a1b09fc,be5f17e8,741fa129,1cc73a34),
+S(8b668df6,eb568b1c,6608ec61,b88bbffe,3103a9bf,c4dafd5b,16eb611a,d3d626cb,efcb4ac8,ab30efc3,94db1c4f,2f0476f4,81789d34,2db7244,a8f34266,13977aa),
+S(d1b68e26,5936b365,67c11adf,259e8bbb,2a190757,86f2fbba,a76d72ff,7cbfd9f5,57328a80,330997e9,8c8598b2,33ba682b,e6baa6a4,69acad09,6ec3ef2c,be6f6304),
+S(84281721,6eb15d31,e2c6faae,1b2140dd,e9ff5419,c0555ff5,d0edfa8b,2d878506,75b6ef23,821def9a,912a7c88,74da9c7,6e4fa036,14dd8fd7,9acc639c,ade2cdc7),
+S(e2da1bba,3a895d07,fc86b9b3,dbdd657c,b1ba523b,bc498ac0,eeacdaaf,22e4d77b,aeedcc86,52457101,86cbdec4,90850961,9cf09530,15faa353,f22605fe,2acb7142),
+S(9cd8c718,34088f1,7f94db0e,50148e4f,81fc4c44,4c9fa34c,8bfb384d,f9c5e24e,440ef0f0,e8e641ac,ff1b2264,21975338,f711ae9e,e6c7e4ca,54d0d177,244c76d9),
+S(6bcf2ff,b6c2e3be,54980550,1c8eab96,e27c814e,9b60ac42,2557317c,10419180,88af1c74,ac893eca,a43a0e44,89ed9ea0,c9e3ef4f,d8329de7,4b09eb36,9e6c8f83),
+S(79fa7473,a6699efd,f0f498cf,11c40195,c1288549,d069d451,b05ecab0,fb94c8b8,53a59b8c,fef24cae,6c5f324a,19b8c30e,ddf7311a,b76d5266,ce747a90,1f46f568),
+S(e3d80881,849cc86a,4d087062,dc5277a5,388f3d16,3c34503d,d6066eb1,69a5892,b6841ed8,c06ebd0c,e99bd851,afc6e2ac,5752d2c6,2a75a30a,ad1ceb1e,c7a2e70c),
+S(5a6759a4,cd2529aa,8c656064,f5c5993b,8c4a90c7,4bfcb2d4,604900b,bbc55edc,5670533c,ecae979b,ed06412,7c9b218d,2f880bce,fc3939c,2db3f572,d3d3977d),
+S(2c96f255,368c227,46539a06,303b328d,d8909991,a83cb991,204888d4,f48d38e5,3f8d2f14,61d1f778,83c16e42,dfbd33ed,781dd563,bd5091d1,8dfcea20,4e1eac82),
+S(534f93a0,1b8b7cf6,28b721d8,af045176,45667ad4,8bad934f,4df6cefa,5327e4f,25c4e7b2,6716a3,718b9e8d,f9233f46,8e8ecc5,2e851418,13930bff,db89c0a7),
+S(b21a8e26,f727f4e4,7d6091fa,1e9f3630,688f031a,fd2a7dba,6b1d682b,a87d6f6d,5bf9d718,9dcbb1e3,84051f7c,df28e4a8,2dddc440,fe8e4602,3f67b018,8513a4ea),
+S(7d6964a7,3b5bd658,5bf9f92b,b4462e90,39801914,7042048d,8a55d9c7,13e39477,c4f5059f,2aa5a3df,2556d6eb,9172df43,7229a33,c3fc199b,de7395a9,41651c48),
+S(5f5067af,90544909,996efe0f,250ed142,de02bbc0,315427e7,27942762,34d3286f,498a6c71,c77a4aaf,7a5db357,3a3379f9,3c9e0120,8ea82f50,936708fb,298cb60f),
+S(1a6b6f9e,4d46ea18,2a4edb33,4873ba99,11e28cce,c0607b65,b716623c,e0372e80,84b1b569,5d3d68aa,5e6d514b,71ab31b1,c7d7196,ccef7fc0,797382df,bcb1f968),
+S(361a14d7,c66fcb1e,109248e1,568a9ebc,de67e87,40388cb4,d2c1c0ba,aaf5516,2f3b5f71,3c150080,4af382af,e76c7f7e,f42af72d,fa83a83a,b6aa6688,45577afe),
+S(b49601f8,50bc8d0e,7bc1701b,82499b2c,4a334c0e,2d8c1960,c7247300,af4a48d9,b5e2a9a7,ef215ca3,de3b39d5,853f4f22,45a4bd92,70a6f193,4c141a1c,841a7ae3),
+S(3c509b32,d8095e48,f5a3087a,6bad9223,c891ce6c,fa781f2e,6c8e7d2e,8803e4ff,5945b1da,102127c5,c6dcaa04,dd00d591,57adaa12,2a3958f5,bb4b393e,b82196e9),
+S(936331e0,14fc93bb,1f6a13da,3280d955,3f388e73,1ff74be0,ce36f738,901bc8b2,1862e7b5,6e58670d,5f212886,f91cfd1c,be3572aa,2edd865e,1ec2f254,9d784710),
+S(9401e6b,c6183186,d465447e,adbdf85f,45e53eec,b1966dda,1493a387,55092e43,fad8a635,545c84fd,76924675,a328bdc2,61add731,fc63d3cc,57e4b274,24cbc2cf),
+S(6849a7b3,6e018d2b,c0f9cc06,539ab30e,43c06fc8,6138dac5,751f0fd1,f1a4484f,ea62553f,a9fe03f0,a8bbe82f,c3974335,8bba3744,8d8c950,fabe4c5f,f20e2bb8),
+S(e1d750f3,b3ea7a80,b3a42a39,487c6662,e2e73722,91d06ef8,c38b60d1,e0c22abc,8c59f043,5c12d792,8542f488,2202b79c,e792de21,809d12a4,bbd28675,57d827d4),
+S(dc2436d4,268fa173,9fefe9de,81c06975,eca56d51,adcac9c4,2d7696c3,4c4fb4d1,86203b1a,313dcdde,a15f14b8,d3fe3894,e45d829e,14a00991,134ebcb,3a2e6673),
+S(58892b5,10923690,2c82f057,45e55487,aa469535,984e350,1888218c,bab6e269,5a93b8d0,2633ec94,a2976bdb,238234f9,dc5ea84b,e3da3a7c,e4cfc628,d7cd9b28),
+S(457138fe,f2e48bb9,73975346,80cfcd2b,3b8eff0a,a46fb460,9b6cdd96,168d71e1,f7cec976,ce010d6a,c9b558b4,3a715772,dd707c65,a810b900,2bc9cbc,406523e4),
+S(b17e576,69ae6db2,88e6035,da4513e9,d5faf5d6,fc7c66d7,d68cd290,416c4449,2c1087eb,ef93f7e2,3f434394,e0146ffb,543f0e72,9c14c34c,8b22fd26,4f1aeb0),
+S(f5ad8e6,968da1b8,ad2e400b,878edabb,77078aae,880938fb,59407313,68e9d809,17f5aab7,a6e19529,39294470,1bc75cdf,3527373f,dd6537d1,781a3e16,338e4b61),
+S(f3f4b339,4f876752,7e3e0087,80bda1a6,9cbf9027,cbe131bf,c5b238e4,3e4cedb5,fbca590a,86e7d2d3,c784f04f,b8f5544e,8af59e82,d70549e4,dccc2d26,dd5f74fa),
+S(979a2c6b,c24a9fb7,36d1ef74,f177f574,a0ec8220,5a2c3b5a,1f62ed2c,7766bba6,e69b9eb,96c2b65e,e91a5274,94368caa,e1480cfd,12711762,2212257a,cd6ce5b4),
+S(b6301e9b,512e74be,92695c18,f18b57be,fc0ff988,87ee39c6,31f067b9,13f62c5b,96d8c690,7b48e6b,c7826af1,486c6ac9,1a3e1818,f7310562,86c995d6,4b0fd835),
+S(1b1bfd50,1d5c0b5b,8e778ca1,fcd44b9d,c60bbc43,59ea8cb1,6c69f3aa,3a37df80,995d106b,920df44e,3120dd3c,16875e6,d5abe7aa,62c5d956,ee6baba4,cb77273),
+S(b2fdd8f3,9a5f8e84,d75d8bca,d8d483b2,a8477bf6,9c12d250,188d30cb,e7ee289a,b0d183dc,4d971b81,51c6487c,39282272,2365013a,c27e3ef1,c2384ee0,2ca97072),
+S(d6e43ada,76252428,bac311dc,5b49851c,79b7cfbc,dee6312d,ea051a88,8819639b,8dc6ead4,53c9781c,d297bee2,56c158fe,9aac410b,d7c392ee,367cecc7,5f86f5e2),
+S(9de1baf1,ed24b6e,ee76aae6,566b3da0,2124f7c9,d526c3b2,ad15bbc8,3ec90c3a,e299b84a,acea081a,66e41b0c,5e9c84f0,2ef3bfd6,36c5a99b,4b8aac35,b7f71d9d),
+S(9d6a8c3e,2247af1d,394ff76a,ad61dc9e,11da8d15,465bacf7,5075a348,681abc7f,880080f1,89cbca1d,460361e6,5388d177,da4d173,b9b3120a,af9dc8ab,2d7602),
+S(6a7186ff,70065f7d,540fd40,f3e8428f,3ba6f0ac,678fa642,653adb41,3684a613,1097de94,8a2e3d94,dedff154,11d35a2f,2f75f9a3,2d65d9ac,2f47d174,24ff9455),
+S(64f47f87,f05e4b03,d7d15938,1e81691,e337a08e,57169533,2f34ae8c,901760af,14cc2fce,17eefea,4981f14b,1a24a60e,73f3dd79,54ca12a9,64e1065b,c65545a8),
+S(37112309,3f6bf796,11d5492,5978ab39,7e4df483,8f96b51c,39ad10f6,fe648431,45d08953,42004dc1,2cd39ea4,e1365116,b51b9ce1,b88a11ac,16295ca5,ad0f16dc),
+S(9b2be865,6be732c2,9fd73a9f,7ec74827,6fc9e5c0,992ade7b,df5984e8,c7c67b2b,1cabae89,b28ae0a,6b58cce1,d9881a05,b9ae4847,5ffc3c63,eb145fa2,cb7182a7),
+S(c0206346,71a326f6,5aea417f,a13ef7e5,c1054c57,ff7aa6d2,8bd7302,89243e22,ba986e12,86eb62cc,ab595158,7731c1e5,2e420b11,af4c4b9f,7e7068b7,2e8532ee),
+S(cb278985,452e2fea,ec881f24,3c43dff,bac7e2e6,e8af62e0,f1a568a0,f6c67de8,b0d0c6b5,aabda249,237f86b8,f3d4aeef,ff32f9c8,2b349791,a090d5d0,4484a496),
+S(9a092478,40008754,1cb7db8f,63d00d68,7a991df3,59e71657,984f3303,2b90c577,d8e49ebb,a2314b8b,2da2a1aa,49dac713,15942701,d264ff9c,e57a8abc,49d54fdf),
+S(43e63cd1,d6d96399,724cae75,d5ae4fc5,94b12170,5335a3d7,b12afcee,155560f3,36d2c315,93b939f3,e7791fb2,56ea0cb,ff0374c3,be8eae7d,ef015e42,e595f962),
+S(bccc009c,4012a2ae,58ac20bc,90ab1c3e,662fc7d5,57eef6be,120b5da2,25aeb10f,2a30dfd9,7b558c12,ab897ae5,5e3cb4de,3df9ffc5,326004e,8da8586b,364ae92b),
+S(1753b47e,3e777908,376103c5,266147d9,2334fc29,a3ee15c4,edc9c8a5,38319f92,eaed6e86,c94a0bdd,f85cb9a0,d32cde01,c6ca2bbe,85607b56,fb363111,fed28447),
+S(53f163f8,fdde3cc,39ce973,2c909ca7,29c2c5c7,415b50cf,c03a653d,1a9cf505,3ec19406,c26c6cdb,7f327e0f,1936c0e,bf85908e,49ca6085,5c5c2276,b2511473),
+S(5e0545ae,f6d3ce1d,90300f33,827fe4b1,ef9277ef,17d5541,597d6ba8,6f4da13a,5207724a,a83bbaba,cd52b920,e5a6c116,552b010f,21cc8c63,d7fe518b,fed12e32),
+S(e800d78b,a04fb045,a18a5f94,de52eebb,640b2ec8,a2159835,d2ecedfc,4bdb3b5a,5f3c4f8c,6bb039dc,150aa758,b4957a30,12e2eff2,657172e8,4e76328,45033b0a),
+S(448d9559,94569d0f,9fb5ccd4,baf52bcb,5ca776fa,f49a3b7d,e9698fa5,50c5012,f0a64077,c97f82e4,be4d23f9,17b82f3c,6284c71f,82adc6ca,fee176c8,8b601613),
+S(a2550ca7,bfbbff9d,4162360c,1274baad,bcd1c213,1ffd1714,7938fb26,cdea3b4e,4f50424b,1ebf6486,c6c5df10,4388a22d,8cdc707e,9485c87,851beed2,45c7f3eb),
+S(af94b7e,f5984caa,2a14ccfa,2acbe4f2,70a0cd31,2caef778,c88b847a,be86b9e4,dde4f647,ebfccaa7,d23a5ac5,28cab9c5,8462a761,844bdbeb,e3498494,cbc16b95),
+S(d434b5a3,a3c096e2,19f9e18,11f9b7a9,61ef6eff,a09da242,b595b824,5e8a4843,c068f8e0,30ac02f7,69555f1e,5656ca89,71bab03e,d5e6f865,94b3e4d7,37087350),
+S(fef398e2,961ac682,8ee348b6,274a1782,7739420e,7bd36925,3a66e468,3fcfad86,ef1020de,b8d58a4b,be7b39e3,5cab7ef8,4e3269fd,248cb80c,85e83081,8aaed35e),
+S(5052a736,dcdc83d,35f65bc8,d1eb40bd,7d8645f2,93bd88e6,aa2c5643,4fb77af,4e203bf8,1632f8cf,8c54c1f5,8f0342c6,612399f,348e7ca5,f9d3fb30,3d8ce1e0),
+S(4fb4a757,246defcf,3b8752be,a32e819,c11a239b,97aaa45d,7bbdd92a,53a6cc45,9e6e2cb4,e02bb3d1,14c59aaa,c20150d9,3077600a,257934a7,935ceeb7,994f075),
+S(518bb638,148f9d12,f0c9fc04,693745f0,656064a2,4d448224,b60d55ee,a405efa,f719e2ab,16fcc1c7,d110d68,3089a1a4,4fb5823b,db814a93,32456534,995c84d1),
+S(8a8fc859,6dcf731,3b700deb,3bf9ddd7,f2732bf,e5928752,236df0e3,a9fe4c4c,896502a8,3c112e5,dbc87e63,c5cb73f5,d206e980,c017484b,999513f5,d5a5b4f),
+S(47875c9e,86043157,3bc346db,d8076123,274c32b8,9baa353f,56b4efdf,8a5e7226,45174b75,7eef6f4f,70dc9371,40e72f14,832b9b5a,b44c384a,4c4b6063,1df05942),
+S(48644f61,57f3099b,5828bb5a,eb886f51,1515191c,5be0dd69,32ec6618,c3870d61,8804fa4d,b44ed648,e398c863,6eac7c25,ffa3a188,71e3bd6a,395f92b2,259f5db9),
+S(d5bbe7dc,9efee9ae,392b735f,b2e250da,a03023df,df0d07e4,ec84f829,bce69ec8,b542595e,dcf7e1eb,11b639dd,65335588,5c3d2491,f4db62a8,e099b7f,9c808be0),
+S(ef6037f9,cf9770e7,ae5e9eda,9369caca,c7cf8101,d21c4130,cc119219,f2c3a6c7,5ccea6b,22073857,adb52256,1a37375c,b5f4c574,8716e2af,b26b190d,af69a43b),
+S(a5b3fc5,2801baea,1f33f9df,270a1967,dff54723,7d7620f3,70a522e1,983ef747,8399a63,6032cb17,3c648480,74227374,dd19d172,57c74c69,eb7bd6dc,52d071f2),
+S(a206b95,e51803ef,40ff83c1,8a6ac2f,553b181e,55d03f13,2536f947,7bc426c6,9149110c,5ba91d60,c25c522a,e5aad669,74a34a40,8ddc9dc8,29b5d976,f2c65867),
+S(ff9c9766,f459a87d,c07235c3,3ba55ea7,25a33791,bc851645,d289b53d,1ce6291b,51706cd6,de0d2807,81b1d8ee,9ba5ce53,f6395264,6e509654,def0c037,6015313d),
+S(ad502070,787ae242,9f4f9f55,418443e6,4386ceae,b20af7c3,7282399f,9f748994,b428a363,32d4f518,56f81274,d7fc023d,b03bbb08,5087b4bd,8c083c0d,77e1c7d),
+S(e38920e9,3a1f1b82,f2ac5f01,ae02fcf,7b9cdcd7,d91fe7e6,14be6130,918746ef,cb55c04c,44e66359,db9a17af,780f0040,e34de88a,d10fe04a,a44da778,dcdbb26f),
+S(4c0f9c54,ef982c9,be46ea7d,a380897f,c13ea12a,13de7de8,249c7483,88b30747,5f5da3e8,338e9907,c1b71021,b2177b5e,d90db096,15c78ca9,74445d49,dd5f68d2),
+S(c9de9ee7,3aa50f40,b5b7b02a,9cf49627,df5196db,e72d2c58,738e5a0c,61725cb7,75a8ae6f,eb47b5f9,21aecf2d,a4bb8e56,7d4588db,2967c612,a53e1c4d,f392ee8e),
+S(ab394e81,140e69ae,af0ba047,a6843253,e9875e48,b61f15e9,fb58d3b2,c61206f,a70db392,a3c6f12c,971b61e9,d92dc2d1,1bd086ab,67475e5d,6977d638,110adbc1),
+S(39938f5e,24111c15,253646df,b02b4957,84a578c5,2a982a51,40d36d65,8b492cdb,a5e4ca99,a95aaf09,c3dfb75e,5c9591da,c6711e81,ac5d8fd5,891342b7,24b71598),
+S(8b6785b9,82dcc8c3,2b12e79,582dfb2,2ea222b,99f3e5cd,dad2df89,8e621571,319495e2,79101993,ac2fc1d5,1770e668,16150e6,ba4fcd20,65beeeb9,169e6f96),
+S(5b4e3ad,d62b1ca5,12bead13,113db6f5,52632ae9,163a4724,6fb7389c,e2775815,b8117dc3,5bb1939f,31c93f33,160daaa4,3114de60,df3db6a,a422a677,51d3fa6c),
+S(bb1f0da3,ebe501fd,761e2b01,2711effd,70cd1390,7340b800,65c938b8,c938af6,3cca83b9,a6349423,669abf1c,77ca35dc,5c3c6c1c,e3fca31,6a85d66b,7da7c2e7),
+S(deca6934,7ed75676,cc85c372,a0612ca9,c3a1ce69,ba67a7db,f6c92972,3b5f4e25,152adde7,67f4877d,2a9df65,8f86b090,2f2550e6,92fecdf8,9574e808,ad4fc510),
+S(1e864048,c9d2a9e9,22bdc2b3,6e21065c,6dfbeae3,77712c02,ff015c61,8f65ab9a,cf00e85d,575641e8,93cc385c,7fa70aa1,22530e4,8f111035,6a50555d,ec004bfa),
+S(71af1234,457ecaf3,51fde7,894858c4,90f11cb5,90fd0af,2a854597,50a33ffd,36b78c67,2aa4580e,d9e562c1,3dec5d81,bffe55ca,e5dbb208,5ffe0407,b7809ff8),
+S(928ea175,c5b56f9f,a3a76080,f87389df,9b541fdf,fa409fae,8583b5a6,25f20421,5e9effe8,4fc42b4f,4e7647de,a1ee4770,2d436ae1,595bd2ce,6db80fdc,30fe2f1b),
+S(28f7f51c,783ae428,73e4067f,34cf5bce,b3e53b66,d319fb7c,7165cca6,63e7d152,86c5d540,629a05b2,1583a470,3e9ecf9b,8f5573fc,ac3d04c4,9132c5ba,f6068196),
+S(1d7b9551,af89db75,d2e93d25,49553373,79896eea,2d3cd7c8,fd2b9375,b5a95df4,138bc305,58a1090c,8b85cb0,c15130b1,ad375c45,57437232,a5e6333c,9dc0aaf9),
+S(9b03def7,22f1df38,dad6f052,e054faf,9852a74,508808e8,38962518,3043bbc8,e9a6d8be,fbd144bc,bb23fcd7,6620164,82667553,d55a8a98,1b9f8f88,d4e5cec2),
+S(c158478,636792dd,e24abf46,926ba57f,4d00f7a6,78efe168,5711abb2,beb3bb62,b772b20b,be7f1d8e,643643da,98b6389f,a28a7846,17207748,6d276d08,5bb3f6df),
+S(de68187c,c951a366,ebe2de2,8f676a04,266aa791,f3705229,37ef2e19,fa1d6293,f9f28e1b,5ce0f88,66a04e,b967777,bce1cb,76ee297f,4942abbe,88b8461d),
+S(1aeafc3b,f66681f3,fdb82d3,f128b12d,58432fe7,f18c92d9,dfcf272,9cd04262,aeb3fea6,b9568a8e,4152e022,83f60cee,7a8fbf42,ac3c20c7,7e339dc2,e6d5a246),
+S(1222eef8,39569e79,d101b6fa,c63bc546,ad9f51e0,e27ea0e0,48da9453,4d8d4bc7,9a4790cf,4b561d6e,3143b80,86911de,49acd2c1,3ad7d975,5dd845c8,fb3bd86a),
+S(568e3bbe,91d1ea0a,311018a4,b75dd711,45a6bed3,4b3f7d3f,77c1892c,a7e74fb8,24f9853,51477a98,daffcb95,5b157df7,7a8b6005,84a67fc9,7d427b29,aa74ebe0),
+S(cc9f0cda,6a3b96ee,5c74785,dc4a5b97,31d0ef4d,10f97401,6935db23,12164399,bb7a50f8,6b530d0a,73162e59,4334dfca,5d1329cc,b31bc05a,3fa68c7,15c76818),
+S(bfc084cb,45fb39b7,db0d16bc,fd1ba13c,a133b6ac,691aa545,bbaca6ec,dcc4bfd0,a528dd00,195c6409,6a9bfcdc,95db1c09,b1e5e0e6,6944616a,2334c297,1be07f40),
+S(29cd9485,268288a6,4b1e6491,ba211ac5,94289ba1,199d1eb3,a1c013b6,f5d305c5,95283c31,38a01ae0,7cc119d0,58e8b81f,d5fba6a8,8bb4cde4,11268613,86e20a81),
+S(c9aa4323,afeab574,a25023fd,a5775e33,8d216391,b10e1d10,31042e64,21f5667d,31f77398,3699d879,a5d713aa,d9b7f2f6,febd54b3,1a69afdb,d3f52232,a72338f3),
+S(3a7d733c,9a73b8d2,4acb08f5,48031cd1,b26845a5,837388d9,68427a97,4cbd234f,693e8214,6e219fbb,b31e048b,8dceb28f,d5ea9b51,cf89a40b,d4f8e935,dffe4dcc),
+S(2ee63f80,ccfe610f,7e6db9d4,af8defcc,b24907a7,d49d24b4,c3b5a976,73ee9968,de2bfef,b99069cf,fee3cd66,7eb2875f,3660870e,f61c70f2,6ac6b942,4314af97),
+S(e1942251,ebbe37af,412340d9,2900a06d,9ced681d,48d81075,d04833f3,9f72acde,85f78728,4017fa63,28a3aaf3,c6e0750e,ac989642,8ed92993,4cf27e41,d3c37035),
+S(d1a6911e,72ddf575,d81589ed,b8995e40,b0843840,72dc1df9,42ba5695,8a759b,71405cfc,f836adf5,b8e8c77,e376a7a8,ba0d4478,a30c6600,82450ba9,7264228a),
+S(e02062ae,8b2a4522,4ab441bc,7e9a00d5,4b97a9a7,cca4e2bd,8dc743f1,931b81b5,5b6371d4,345f08ec,cb6db1d2,dea7b9d0,7b49ffdc,d50e9b63,23fdf855,e1cd2243),
+S(7327708d,b7d3f037,8bb261ea,7db74eb0,222d891b,e14de28d,2defe3eb,a1f64a93,e71c99e7,627440fa,ad4bd9fd,3fe1a69d,5a8c109a,5165e54f,20113643,3d8baf66),
+S(cd57d3f9,a726d2c7,308132bd,bc7401e3,f89d1449,57057bd2,14edcfc8,4e25e560,9e23e46c,3760b31,5c117006,99c2cbe4,319e483a,eca1641,b1a29e81,37633b6e),
+S(87dbcc0,91c348f8,593c6807,1d0df231,9421e732,58e76672,e03e4d63,d4073660,823edb4c,fe506e04,49403b68,e4a69101,cca82923,82589a99,a9fd3908,8fff07c1),
+S(e3499c7a,cea737f4,8359512e,98a9e5b6,2d27ca35,accb8c2,cc65c7b3,ffd28b8,3a2c7591,f0c91dff,e01a243a,986dea24,fbebc8cf,dc0387f5,78988cbf,ffe017ce),
+S(5ac29de7,70553d51,284cd610,b360469a,fcc4ef23,bcee5936,942ef27c,b805779f,2a32b97d,f3e8713e,809d4f79,55525e45,65a60581,5fd582d3,82d7088b,5966523),
+S(201ee48b,86a8a93e,8e12b084,2fb9cc37,25e4478e,b9d6d10e,cd1f220,c4a128ce,390e0cef,e6b561a6,6f58c07f,3569e8f6,6a467d2c,cc548281,cbd656f9,f7fbf73b),
+S(8f64a6ee,3ffa42d1,e55aaea4,9e00f260,fdd33f21,394aa31d,c17a4328,87ff50cb,867a0189,2f55cc74,6e61a5bf,46796ebf,6c0e2932,b8f9d1df,a5c48af7,e491ef83),
+S(5e38512b,65607ae3,f843e223,ec7f95ef,5af4bf35,edf9068,96fa76d6,c302b75f,7adeb25b,bcd0bd27,646956a4,c4a659f9,1db48f2e,532a84b5,7cba0aaa,23e28da7),
+S(c812dbf1,732134df,1c459c81,f15cbf3b,4a97f959,18bcc0f,48062b04,bf133649,d22eb1c9,27d57ff7,e0baa4ff,c3b9f74e,116c8a43,ecb10cb7,32745d9e,61e708f8),
+S(3f0d8071,56f38368,91a263a1,5177bb12,720eb46b,d6c9abff,5bd2d2ba,ce377b39,348f65fd,f87f7f2a,1dec49e4,8e009fc3,8f916c40,857586d4,e6063772,704d70f),
+S(da9c23d4,e4fc5a12,f80b9d65,c2536366,c75a86c8,fd4fb92e,fa5e360b,5ba1993,eb01f616,fb20b8af,522a108d,b81d92f6,3b161963,bee3427b,4a49353b,928da25),
+S(d266b680,fa8f6b70,4f8ece54,e52094f8,be493a4b,9a4f396,dfbefba1,4887e18f,564bb0fb,f63b5054,6a930ebf,df1afd93,7f0db851,e460c8f9,67afd274,b735681),
+S(b9859cc7,2b573a92,b2752b85,692bf02f,be1f176f,1cb8be2,e954a00b,33e314a5,fb216130,8bba3bc5,cefdf81c,c21981df,2dbf0a83,d98d259,62c879bb,4ce6ab87),
+S(8e52468e,486dc34c,c53cc59c,b8c9360,62935ec5,4563b9e0,8daa0a95,f8787f3f,2e3d5c59,90f228a4,e7133352,837eeb62,892e28c,7f8233ec,48ff18a2,d6564c9e),
+S(438a2203,af978f12,d28fb3c6,af10ea2,13a954ef,7b0974c7,2b1113b3,e6d03b65,d8f36c0d,d6d4782e,d7194631,7b0a5745,6207517e,379c29b2,ab30cde8,e8ad33c9),
+S(1a4982a9,f06bf158,9e395e10,9873ec13,1ef4a00,6a6d7b83,675c3906,1d61fbbf,93e2882e,676591ed,8acf2e3,ff22284d,abe2fab2,bdb99175,5ac72631,c5002747),
+S(6ebec1f3,bdd0f019,3bb9a7a9,1d59dd92,5019400a,575dcdf2,33156bf,3e88a47a,c341309d,b462016f,afabbb56,5d763ba6,9c8f2f98,42812afd,fe0e9941,53283ba1),
+S(599dc439,687d0dda,a348eb2d,337bd2d9,76a2be69,fdf5e064,1ba87e91,61f45351,c8433a55,411fdd17,ddaa9a86,bd2561c5,8b891c41,d868e764,13e5f3ee,3b3ecc1),
+S(5a63cd59,aa9aedc2,91a0d50a,c7d01214,c3788f62,7e3c60ea,84d09ddf,2eb80840,3851bcf3,51ce55f0,4f92eaeb,99b3036d,a06d1f38,2a759217,50e4bf39,7d5ca685),
+S(86e089a8,9f1c1644,a2e94b4a,722c6f19,9bb0403f,9a112b59,66191e31,e750f1,91ca06bf,fd48c38c,272594e7,1a113083,f6a4b275,7f279a75,3d70b984,a552e391),
+S(2f2c3b0c,dc0feb58,620ab813,c8182510,a2a6f14e,9127153a,358c50f,31238370,7ee136f3,35f076a9,5b80e0dc,a8dfd8b2,691ce9df,5ce0f1b5,5dd9e3db,e156a360),
+S(4e2e8b40,8602701a,2d1081d4,e41f81e3,3d9b8465,9959532e,93aca00d,9a70f005,5ec80478,d44bc01e,ad4b544a,20cc58fe,2990c0d2,4d08fc4b,2f9e0a5d,913953a7),
+S(98c30f9f,4ef0aed6,17a8fee8,92934d56,10267d6c,e14832c8,b802ca00,320a9c7d,765958cd,15907b0c,dc0ad9bb,217d647f,6c85da72,49260d4d,11ec062f,9d818639),
+S(f2b87023,7841e053,a20f2df1,efd265c9,f58e9132,9c280502,61f8c6e3,d6ca5afc,bdcbdcca,67fdf622,84fadc6,4ed6e727,5e82d40e,efdabad,c3d1dccf,fbd32dbb),
+S(650f0256,1031a2d6,7549959b,7c358191,cf3fa7a6,30010f57,1006d2a5,20592377,2c4d23a7,44aa3b0c,6359149e,c170866c,b5874045,900b2010,d5a80dc1,e6b2892c),
+S(76c3e87a,c72dda23,7ef119a3,9a128507,eba08e31,9f1a7512,5c4dde61,6523fe40,822fa37,8e7c8f19,e02954b2,5faedcda,6d2e0123,ea0b10de,70361487,9a0ec110),
+S(472f9e0,9adc7ba9,179a6e8b,22985721,c994c51e,109bdd04,eb2afd6e,fe471f8a,11abccaf,296e7c8d,98e1c3f7,50069ff7,9552ddc8,5e5b55b8,4980ea03,4012072b),
+S(4cbb2b87,1f8b975a,2ba257f4,340074d0,7fa897e6,7000795d,d5312e35,cb9453a2,4e31a79c,d842f6da,9e45664a,2878070,1dc87cd2,eb2cb25c,2a7833e5,4e2736e9),
+S(ec70b3b,1a95b593,431ac4b5,5825e6a5,2cb88276,27165195,83924921,30805ca2,6092c54a,165bd710,a0e1f36f,18b4e4d4,cfdcf6cc,2f222599,761a9efb,e4d7807),
+S(a6b1dda8,e0dfb484,60209710,69cc5398,4e4462f5,a305af62,6b7ada3c,bed5e1f7,e2c113db,21680a63,8f0ea442,52421c0c,41958de3,c7b4a24e,f39546fd,19be201),
+S(4a18e595,4105c269,25468ebc,a0c9accb,1710b854,d618cffc,72eee0aa,c0e3f296,1e7cad8,cd248d4c,5dbf0207,a32b67da,2db8c8dd,4798a17b,52ae6445,728e7f6f),
+S(eecb1dbb,e2451a48,53054f45,4cc640c4,3e38f20a,3957a192,c2f5827f,9384d11d,a889250,f8bca4ed,5158a55c,197459eb,50b7f10,f74158a1,75180856,b4de62b0),
+S(8949f6e9,5e3143e,653889cd,4d57fea4,657aa42d,76e6297d,d20ceecd,d5def67d,e08d4e90,fd929ac6,ac3e87c8,5554e0f2,b584a31e,1be841ad,827c738,3cafeb54),
+S(e85b17a0,dcdf256e,51a605c3,1859773d,a0e52a36,6312eb19,9a789246,beb7441e,3505403e,1ab0f77b,984f41e8,a8462c0d,e9d5b500,d0a8f59c,fc83a75,ee063720),
+S(c7742a95,6b5c8298,bd1600c7,b756f777,bb4ab2b1,529c8419,d124d402,2b902420,a05ec2b5,8af28f9e,35a86b,4db0634b,5b7017d,7947a023,3db01ff0,64bdecc1),
+S(5432c05c,814aeb02,c82e651f,7d1f7b89,e294a76d,17e5ddd0,9ec8140f,cf5a62f2,5902ac55,ddad39dd,da4b35d1,5b84f43b,c13420b6,35f28bce,a60d55a5,78d3afae),
+S(39075a61,15bd6870,d1406865,4c8801d4,b9aef508,c880618d,397f9bb0,6674b17a,8bd2702c,96604b83,4114c489,367c3d3e,5e6efd50,c15b8bb3,4b2cb686,b08a49d9),
+S(df43a136,af0f754e,599659ce,63d0d48c,73993927,6eef3442,e505c93f,acd025bf,1378d4e4,763c6c79,483597e2,f90824c1,830c8850,fcd32c69,52dab9d9,cd0802a5),
+S(840a24a8,314f7e0b,9b3c33bf,7f6cec77,3052a0c5,54a1e180,23772bf5,1d7a4a6d,6e1be7af,f02c4536,f44db655,b859383d,5eabb37e,92b4b896,7ec1acd3,859cb1ab),
+S(55d1fe11,49cc5e08,5e9ff19f,9c0823aa,9ecbc1c3,62385bb,e5d33d8d,8156628,b1b96f77,c27f17cd,df4b223e,7343f140,1849d049,4351b2bb,27aed7e8,79b686f5),
+S(a8ab1f78,3a7fd00d,f5f4a814,31eed1d7,b767417a,691f28b8,38238da0,cf8fd509,2d747fa3,b164ec83,de89aec8,746781df,f7fcbcd2,67230a85,4802491a,e213a3ca),
+S(3cbe8f71,c37679ad,d61e0453,3a1ebb71,99618a3b,9e8139a2,cd751d97,d4a212c0,9216bc42,a61a9734,750470c9,1bdb3fe4,510a5f0,9fa5858b,29eb7b8e,3d19641c),
+S(cf1fb09c,a6b5ba69,93303a5b,695ddb27,3b527ffe,9a83e88f,9b5d45d6,b0a8f94e,cea6959,943f7e1d,f1e85391,e08fbba4,b9d84b00,6cecdbb,16f576c7,dd89c814),
+S(1854629d,e22365db,5382ddd8,b6840e03,d1e12236,d31c7d10,12e8f83d,3ce1b71a,b25fdfe7,4fb81669,a24cab4e,eece5fc9,689ea40e,205b614c,4a0f250b,8f778b15),
+S(6d1ebd8d,69fe133a,2e6628db,70cd4f,15d066db,2b0f42c6,2fc70dde,eb2e89a1,313ee8d9,750c0164,ef561df8,6125e72f,cb5c2233,ea36f971,197c7fe3,acc429ed),
+S(29ebf614,7a918ca,371b5121,9efa033f,ff2869fc,618aec33,a4fe7aba,b916e46f,f1d5c067,382d76f4,74c159c,e88ea702,f90ad2c,5b268a7d,14ede7ab,40e11a22),
+S(8e2bcc39,f60c4c62,591cd482,8125d08,4d26fc92,2e6ae30f,51882438,93dc5a40,44e3fa3e,64e14ada,e4a0a616,10862503,2e109dd1,c863814,368d423a,f96e9e56),
+S(27e17225,1f6a9557,39aaa058,bedd91af,1e920758,cc0724ba,42f44f4d,45e99efa,7dd22a7d,6dc604c1,fe2850d5,41b2392a,b3c3d60f,2e712cd9,179fc5db,5fc179e8),
+S(4fb44a50,574d591c,1391dabd,7f40f7bf,14514f65,927466b,2c643f36,d85063d1,fea4e431,63c1123d,9764b70a,cd843281,e108f04a,6fab19e3,da059f51,4c2a73b9),
+S(929112b5,19251a93,bfd2715c,6107e5ee,d3283e0d,1849ae37,d110fd4,8eaf6be4,e382b859,a7de2309,a4dca649,66d0b744,9ffe9ba,383379be,d12871b7,19c653a2),
+S(532c823a,a090cc4b,128938bc,69adb5c3,3653fc33,fa07d598,36d25ae0,808c0b70,61ecaf31,30a852cb,46de2616,f7bd24ed,8d9e1ad4,efadf570,d08a463d,b127b455),
+S(7c7ec9a0,aab8cf1d,36b9447f,d7d82549,d425c217,d25cbea1,3ddb8d5e,e29a38a0,5441d917,1898ee1e,3cca969c,acaa074,62cd236c,a5cccea6,9436a086,e08142a3),
+S(a81c85c2,54e52aee,1de1ee45,b79cd027,e1cc6414,4fe99ee,8ad8c572,82c0bad0,1be62473,54bc2bfe,1dc85c68,684fa9da,1ca55a58,6dc4ebc4,3cdb050d,e7acfd7),
+S(38f16bb6,da377f25,aadc90b0,7fd21078,5028aed7,85dc0b07,5ad9f04,4b0ffcd7,9563c6c5,531b64a5,d06a5181,d7515b61,4a74f8ba,6226b559,4220282b,b8654273),
+S(ea7a49cc,ec294031,87fb5f88,82deef27,2dad9624,76dcacfe,cf128bad,732e1686,49de39f7,5d9a4302,221d9b96,90019013,1ce39a7f,dea1c801,cfc0a2c0,b9a16995),
+S(85019851,529364d4,5c84b63f,7f119f20,f3245547,2aa84b42,1ccb239d,fe536868,91b58064,2fdc0f39,284706b5,5b8e4bb8,4e112d5e,68379d94,465c3ac1,8e37cc50),
+S(17e41364,244d8f16,22059363,be73839,75ad528f,f1db3390,ee65b106,beb6fe40,e90412d5,5e1b6590,e0d5968b,88dbb0bf,393ccd6f,96748e5a,205ff1b3,2f18a0f0),
+S(5b49e7d9,fcad56b6,8b85d934,1b996ceb,6a555ca0,78f8d12a,e58e79f3,1d91caf9,32af7ff5,de4445e6,4bb895c5,316b171a,d911d8d7,81b16115,1e9643ad,4ce21885),
+S(42baec78,86aff012,13d9d182,6e031b20,85724be0,268790e9,968d01fa,63e0e366,8298f68b,32e5caab,b8e641e6,720db67e,4150ad69,ebe90143,23f7b981,1ace8d4c),
+S(5201710,64afee86,14c28123,5279e1a2,cc2775cc,85a5751e,158c66e9,2fa55d51,d12195c5,a0a08b,7cdca2da,fae86d15,d37427e0,1d266609,dc9c1adc,d5d8039b),
+S(bc353c2a,8ca16349,fd021e60,8befb9a,f85c9ebb,b448d732,13220154,a02297c5,88850fa3,a61383bd,133c6fd4,65d12756,37878fb8,84bd3c31,3c4f92a,2b620edb),
+S(9490256d,3acd97c2,848b24e8,8b8b2a8a,8635417a,1f228d6f,dccc3917,9c0fa397,4f4ce298,cf1dd296,b7704f9,b8f0a0d5,be42923,80bb917c,5fd49c28,55d3b662),
+S(a963e733,ca168104,47ecb136,bbd2047a,97ba8f49,9222736d,eda1c7f1,75c2fff7,5385ed6b,93e6c27f,568566a9,5cf31059,de4ac850,1809319e,ce216eab,c8dc181a),
+S(fb44e6f5,eca57845,76439098,2ab24ad,c84efb0,715c3b9d,df0b7b2d,a165702f,a62de478,678bee62,891c5241,9c8e77b9,d573fa6,95b0a2bd,fa5d9d61,c4362e43),
+S(c1de1705,6bd1f0f6,8912dc20,29a41689,efb21e22,e24f3fc5,ff5c4498,f4fe7ea6,6297c6c2,a30e8e3c,43f534ef,475c3b35,f2a9550a,c5b9c733,63e117a4,af2829f2),
+S(8c78a7cc,e7084890,8ff122c9,108980f8,b2a2b9e2,80e5536c,34b5e13e,61f8e133,459a70a1,5929d848,f8def6ef,ea8f42c,905fddb,3c0153f6,71a17b4a,b7c2c1ad),
+S(5204d397,bf3ca5eb,988c1ccc,d23fe613,25202fa,88421157,cc7e7fa8,91b4e612,c02a009e,f89c5b88,b3f3a7a5,40d30ee6,75f94247,60e23fd4,8d8ce1e7,6395b7f5),
+S(3cab1091,a0dc43c0,b90c60ee,44d31ecb,607da086,fa6da814,9c378acb,99c67ec9,3bcc5297,267a2da7,e228c7b8,c1677407,93feea54,bf31e3e9,f8e270df,e8d1fd19),
+S(e0475cb9,9ecea30e,94ad6292,5ca5c3e7,77c30673,9d9d55c4,464a3e85,cc2f10cd,484818b4,d0f72e79,79427904,9f9aa4d4,8aeebcdb,f7f55a4d,97ddb03e,4f6018c6),
+S(1165d67c,11327a34,e702775b,40a9d7b2,deaa423e,7e4d3dff,869f4a9e,3fe6ab73,63c55abf,6943f35,171595c9,63ab061b,a1c9f605,c2ee4970,767ab1cc,1bc691af),
+S(f0ca20aa,59ecbddc,cdbd3f3,6c8830bc,9bedd29,b893ff74,48cc523f,bec962b2,6b2ff156,557d16a6,47453361,c4bf9f4f,41bf1e73,8f0c5536,a3dcd50c,ab88a086),
+S(a3b01fa3,8e743e32,b623f2a5,cfb7300a,75457d46,6499dd5e,b1453d16,a746cdc7,19fdddaf,28030237,7310920f,3f982394,db89f510,a4a73b08,cacebc6a,2d417c78),
+S(37ef5196,c8e2d69b,cc0b26c8,2bc30b9d,650a7ca1,409c77c,11e0a338,c5065ea6,df890a8d,8cb2b669,dc74c96e,19ffdbf5,abd5d898,46240fb9,18c297d6,1275ea86),
+S(d99abce,1ecb8415,eaaf50bd,66f4b5f1,a5a4e5e9,d6959735,629d624d,adccbc88,9da9b4fd,2558c726,c44d10ee,f72c4699,80069045,a8660cf7,58de00cc,67be856c),
+S(f77fe49c,28595198,7abfa598,915684c0,2af76675,5e2648a6,36f5c955,a78aed61,a764861d,3a8dfe39,92b2e897,ad4bebb0,8c7e2b55,e390efe8,21ffb60a,cf5e4be1),
+S(88f6ec1,2aa65721,3f672e10,9d406472,7b89cf88,74dad08b,a4b54747,2bb767f9,8b6253db,a124b7ba,43fdbac8,55f8e9d5,9da23b49,e450c8e5,675442b5,f822b8dc),
+S(a13a7136,640d1507,9ed90b77,12a9af52,e53e75af,4583a149,f78c2840,f383fc55,435fa5ab,6454ef1f,ede1b33e,475ffe8e,10dd5a94,4f96f340,1c184642,2672b310),
+S(20940c7f,9d4abc67,d42884d0,346551ef,1b2aa54c,d8a1485d,1e23758c,e207a7fa,de5eb4e7,b619e600,3cf9c0f9,7e944f55,ab57fe23,388dbc73,66bb2120,e5aaa793),
+S(298e00ed,855dd2f1,c0aef293,c55d859c,3db60fe4,b026f782,1c07d534,cb087e0e,9c45f376,466da662,583ec25b,5bdea3ac,c624731d,4bb62b2,2345fbb1,bf721990),
+S(5153ac16,6b837bd3,29d98a22,56a576b9,821376cc,f7e48cb9,24e75f59,ffb6d7a,3f5ebcd5,d5ec2073,f1e43334,7ab4780d,f19a2806,d87a6477,bb73ed09,bec6bd43),
+S(78c909a7,c94bcc00,b5518df2,bcd3ec09,9d5d2db0,d15321d5,b3135953,e8e1d195,735e4b40,519f4757,32042f20,410d8699,d1af7a33,94062791,b12e19d7,85ae42ea),
+S(e4a4b24f,d9f7ac92,8a888507,c6d21ad4,fdaf62c9,2bb920ec,3ef96d64,a70a8567,b62c1cb7,b0e49cd9,8001dad1,52a2206d,6b397952,be03113f,7ff764cb,505502e1),
+S(ca3b64ac,d4aa25df,3e7d4b64,6d5c8032,66809507,7f7f60cc,1e3138a5,2eff4800,92972d13,2f370aac,680f2a2c,feaf4e93,73199207,7f51334f,37553a04,5af089cd),
+S(58e22f4b,a636677d,aecc727,d58a6ac5,77d85e31,2d41d56d,1c09c859,749798c5,cdcca924,549c867e,1a11e4dc,27bb00ae,99e0a356,5b6b37dd,26acb58e,f29f3bf0),
+S(94dac55d,da61410d,926841a2,4b5ffb24,e44e3ee2,3d42efbd,8afdf3a4,3530363,4095385a,529965de,b01b9a3f,f9647b29,8f3d2119,9bdac924,5aa54df0,7e8d621a),
+S(639ca66,8d7940b8,8f41c4cc,eb50b60,203b6884,c8ac9c0d,c33bbf59,926d417c,447035e4,5c9bf80c,71f8aaa3,9f9356c6,672f0db,fa01a4ef,5b1b7400,dbb70a21),
+S(a6a9f38a,51d8e82a,7e04f667,e8cd638,af4cb7aa,c8b0ffa9,255f472c,c5b30250,fa935a10,4796943c,1880e3ed,d9c2504c,7e6e4bf,46036119,9458e23a,b0b025bd),
+S(60179b5b,cb4ab099,b74f6a9b,853a50f1,582362ca,fd28b288,e2b339f3,27671a8d,5ef8f881,54b7b4af,ba287388,6c09d1d,c12d7070,6b960d0,b0453767,7e5d283d)},
+{S(60b01067,25cf781d,e78ba725,40508697,3f2ff6ec,1511515,6e19384,1fddda7a,624ccf87,f0ec21b9,82efbc4,6d4db878,5d20fb8e,dfe663fc,46660bb7,98c96eb),
+S(74164670,d214bccc,23e32dd5,b4e7f093,c95b4628,b7b3448a,347980a,1f9b0323,827aad3a,23a648ab,e0ffef7e,d8a6d6,800e07bd,7eb1b5da,50b5dc2,8994a20c),
+S(66a60beb,feb1eb8c,39857b37,158b48c0,93a90cc7,8d8aa58b,af183975,b12fd461,62f95a56,2db16e47,5ef65451,4cf82fc7,1a4379d2,cb4224fd,695d202d,8e85fbf0),
+S(77272c7c,cb0ca53,17e660,adfa236c,e062992f,a59c7164,71d89755,f99ee448,a6a2d5ad,7ee9dbd6,d8a9d8d,157860a9,58e3d766,da5b82e1,5bbf83eb,7d987f7d),
+S(eab2ac49,209ad561,d3beb05a,5152d5fa,f1af52a8,12ed0d40,c493d611,bd78c73d,c72f5b65,dfb7f960,a8bcf355,b80918ec,a9e8c3b3,985602d3,7ac0cae3,54645f6e),
+S(ec184bfd,27c2ed17,25026464,4be6e557,db93ce3e,90ff225d,fb0cabda,cc124952,b4ed4a46,acebcbb3,9103f99e,cb65e208,2aa5990c,eba9fcac,cafdbe55,6a08a516),
+S(6f5e0f0e,7c32165f,183f7834,3e12c845,86745ad6,d02d4f29,bf16ffab,31b1de93,76bf7f22,105a881d,6d190e20,bc7b5d89,ad0ee9ac,c1df6905,7035b6f7,6a9d4f61),
+S(b3d820a7,466f3cb,d955acb0,c8baa787,e7f0d63f,52f9dc9e,87c6138e,60b9279c,6d769d76,91c1e61f,41b9cdce,949828be,7d17c1d,ff0c5041,7e2e3b79,fb873753),
+S(ad92580b,575d6831,d2332a72,f3f888a4,713cd659,bc439870,7c000318,8e7ae426,eea9afc8,471e88c0,22463a9b,c8cb22c5,d0df87f9,201aebc0,519fb7e9,e2307073),
+S(54b8cdd7,3204abb4,22d870a6,c5afcb14,81d4f117,a673e60d,155baafd,f3c5d4bb,6aadeaf4,94823ad9,df8d2429,e42a1d6,8aacec78,bf973785,a56120c8,28d23bb0),
+S(ef2bb94,f14272a1,e235da4d,4ce4b043,2037c8dc,7ad8d559,958dc767,e0e75f5b,3af91f78,54bae661,9702996e,1defee92,2c0e8c3c,5fa4d37b,261c20bc,14fbed93),
+S(13b87d2,8125e63f,1259b1d7,4b79c395,25bed045,256e8b00,84024bdb,48196b7f,139b380c,bba0404,463125e7,a455d454,ce7d811b,c7c14e10,90cef0ae,67d8281),
+S(34ab008f,50e1a525,8cc77331,3dbf8510,7f3fda60,7ad5dfba,9aa464fa,856394c1,19178d3f,f5c51bd1,4c6d424e,c42591ea,414de041,7a3f470d,7c35dcda,77e57860),
+S(7d872049,c080936c,54875ebc,49a00c41,b837b71a,18de4e70,adcb8369,95c2dfc,b572a6cb,58a2337e,2453110b,eb877a02,bff2bea1,d542714a,3a115a59,933eaea8),
+S(72a2644e,2e6d7182,9f78274a,eefc9f15,9861b031,56d20d69,db62b4f8,57dd34ea,82e158bb,dc2d6100,bb5b300e,467470fe,606ddc1f,e662d3eb,3d51d9df,8383263d),
+S(de81a355,37cbb00f,76aae7be,d3ce5362,c51426e4,ca012ce8,5d5f0fae,791c106c,10137d33,8a6532e,95917e92,31e5c14b,10551f6c,7bb1cd4b,5944e772,22c0f0e0),
+S(f8499694,38918109,b0eced18,766add3d,8e21a5e1,a6eb640b,e4794e21,20400de,9d081c04,cf130095,fd00af83,32408bf6,ab4e262,e5150e3c,9f43a3a3,704b3d8d),
+S(a5786625,1f866279,36233299,283e5dc3,838a5d9a,6fc30cdd,cb75ea90,9f3b2e94,57d57841,f173e1e9,e2959908,7e535dc6,a848132a,d6fd98b1,ea2a16e5,ff8c60b1),
+S(533053dc,a24ceba7,f528c93b,bf62d61f,ec640ac1,40848f7b,9dde2ccd,f2465df1,d501e49e,3291919d,3c7a280a,1501258e,325e478e,343ae766,61cd9cfb,b856a316),
+S(b85608de,dcd5543a,a90fc566,9fd94d52,b041e434,2cffc394,1cce3f40,12c23ebc,dcf01862,1051bab9,d1471d26,99f5727e,705ea2bd,8e5ffe71,df7db441,236df5c1),
+S(bd1a08fa,d7d7fbd2,b46565ce,99fe28f9,635e0c41,a8b6aec2,31d949aa,a70d52ca,1a26906c,f77d43fc,ec656be8,5db770bc,65d05482,d6449f52,e23e1e70,6ac2aa15),
+S(ee4e9976,9517bc1,2c7adc6c,fde381eb,b385b1a4,bf918268,5f175db9,949c99c3,738250e0,5dd8e427,95728575,fe5733f2,6b083705,301f9138,d736fb24,98c34679),
+S(bcbbc6ea,2007057a,1be80335,3d086450,c48e432b,6f80ba43,bf03bebb,c48f9379,10fd6383,b5857977,87d8696,9525e0ae,b1842c23,974353f3,4eb515a1,5ff52435),
+S(5c717940,e5e9546a,f9ce9d6d,c260bbed,fb678923,db861b41,1f275f0c,b18b6e02,d9144751,3ab535c0,603fbc12,adf52285,560f029c,266cda2d,69b29090,f5179f68),
+S(7137b160,a5eaf92e,fe5f5c90,c3d34063,333f8204,5dd83371,31f624b8,cb7173,3025534d,6303c9a3,6ae38e66,57acdd29,48bfec24,d5ba7709,be051fb3,4537c2b8),
+S(a6e79e0b,54c083ea,a6e37b9e,b54c181b,ce397786,c294abf,5d1cf475,fe34c030,aaa6aac8,4709fb5c,ac6a498,c0659da0,e2506e5f,e890c06f,5ed5081c,bd737c71),
+S(9a143958,23cf2096,d81677e5,f804bd5b,790ceabb,4b15da9,b35c01f8,c6b1d81d,61bd3e2b,642e9948,50179f0a,947820f3,f241e53d,8222ec73,3ceb8bf4,cb7f08fd),
+S(a51aea0e,4039ce66,b3e80814,4582aed9,d0ac0be2,95105a8b,23179025,4a2b0429,7cde7f91,96e8f417,ed7a075c,c25cb694,4e996997,3ce13a4a,941f670a,f523709d),
+S(2d79629a,1069878e,76cda780,b9291c4b,45b78b7b,ac98fcd4,3ebff7b6,cc2ad200,cb01aef5,1a5fab94,ec29d73,6ff2370a,df866d45,d977fda5,2b7fe32a,e1d9a3fb),
+S(6af74994,feabdaa5,fb0cb613,2f346490,bcb1a70c,7bf58e44,2cd46670,12e050d8,627e7f3e,b4e66be0,672b8bde,f119177e,f878e80c,a7b5661d,d6a9d19f,19729e9d),
+S(c367583c,7d2d5d6f,3f00083a,1218645c,568a85ca,8fdc708c,7e8dce2b,c72c3ceb,baa36c7e,1c86d194,ee03efb5,c5e11b47,34bfa6,c168ef3e,fbb78f07,51a7ebab),
+S(36b2293a,2dc956f3,47ef5874,9504821a,c9197e25,1716c398,f5c9dc61,c63fd5e0,95c93401,be8f3500,d971ca82,ec97def8,7d58d64b,5e4753cb,4f2cb608,72f2950d),
+S(78e80bca,805183f1,76257399,63e9cf9f,a1bf2b88,eaf4147a,17d83057,bcfa32a8,b42e40aa,f852c738,fe1abb8a,e5dce499,414c2113,eb59cd2b,2a3f6c42,fa96812),
+S(4f5b3550,887d9ad1,1254333d,7203aadf,d202fe5c,845b3c8f,3c0094fc,e4a32628,a4842bc8,c793e4ed,948dbbd9,cb68b7c9,3bb86827,fa9d7c3f,acfe78bf,670eeb99),
+S(8f880914,9dc553da,4ed0b371,70850bfb,c305fce6,d5e7be9c,640be999,8df19b1e,f020f82a,eff490e9,fc7d4d7b,519e780c,21f86f87,5a547693,86524483,ec776674),
+S(ed7f98f4,90be919d,d1f570fc,cb565424,c3537bad,d8d80e61,87b51f8d,9ebce164,d374e45b,c81bdc9d,63c824b,1bdeb2ff,5c9a3453,93540ab7,884053b7,107d8066),
+S(754d2b67,65625067,14865f65,a89bd0c6,6415aff5,644d37b7,e7437e03,372d70f5,e4b5855c,14ba6a3,360d1519,98358bd0,ec2bd109,ddee46d,7a95050f,5131a9ae),
+S(d0778425,311ac57e,b8ffeaee,2001b9fa,89d6cb36,49be46aa,365b81cc,c8bb903a,25e3a484,5f1c15e3,ecf6a654,69a78893,3c414b8d,c92587f9,fc8f54c6,eaf065a0),
+S(c7c18e4f,7c8772d4,37e3e861,584d24f7,f428c06f,23730347,2dcfd4d6,80352ff2,6f5a02d8,1c6ff6cb,32e85004,3375c865,57f8659,83e76e0d,4f42a69a,b02ddd52),
+S(96c4e50d,eb86020e,b0bfba2f,ba3da698,c7bd031c,78959022,341aa1bd,a19b4a1c,8cd7476a,78098ae2,ca166d9b,c8aa79b1,ffd9f8f0,943286ff,d563008f,6f3cfd5f),
+S(3f462649,9a5e5ad9,f5ea71a0,9b4e6b7b,fea33c80,c786715b,15200580,cba306ba,32624f0e,9a3b0413,fa401f8f,6f32995c,74ab592b,792247da,970b89b6,90545bc4),
+S(a1495fc5,2c642d7e,da16d1d1,289f2eef,f4993882,f2843128,6d17d34e,5949e2f1,66ce7c4d,611421e8,7f049ceb,11e9f99f,9edf2592,9da6bc45,91ffbfbc,3c73c87),
+S(954ad30c,15a6c5b2,deb98983,ba7125c8,e216f1da,5531d258,513b7731,4fc86c0c,39378c22,527387af,e75d630,fa69dc8c,44586372,96e4526e,2e105fd1,af7ba0b9),
+S(5692830e,c3ab78cf,6721b604,31abc539,ab14318f,cdd4d6d4,1586772a,bce39a98,5d1d9619,c335acef,22acc9a8,d32ae53e,9b227ede,50ca613d,d67065d1,252c56b8),
+S(1cab4f2c,73e452a4,de0e2591,1ed22364,803a060d,ad957184,3c81258c,6a4c518d,27617c5b,d52b5d06,8cd9c2ba,df266f8f,ecdeb4cd,41bd6e0b,a2db6a2,8f4c7f3c),
+S(9f1834c0,145eedf2,53211dc2,3339283e,5e7daa72,fbf6b69f,d5642a63,c551bfed,c1838a49,b3289127,7c3365f5,9f69d34a,27b48c6c,8897e9ca,f40d8753,d467d72f),
+S(58988653,8035c13d,2c538f0a,1c587f2f,fc08405c,e6a1d7ad,828aef75,43b4ae8a,c4b901b4,beb24774,598bd2b7,d3450791,f2cbb37c,939594b6,593fa592,dee20590),
+S(d248754e,c643d300,6d81c5c8,9e91b522,181921bf,627e813,1acab8bb,cb97b2be,76b94631,6668e319,a057648b,2369d781,c2abc77,6aa8805c,43734698,671174e7),
+S(f849ae76,ad1bc714,4c2fe13c,b0ee81b3,f9abcca8,d940a161,74a69c0,b2cbfd0b,239aab7f,c1b6c054,a34deeb3,56da4e14,e15643a6,63f40642,b2a43350,80c2883d),
+S(561b12a6,2e2fd36c,ca92d85b,14baafff,864e99cf,315d8902,72f81dd3,27d1f04,c4199633,801df02,b34ba9e,13462533,7bd975e3,ceb19673,7bf37bb9,daf30808),
+S(8821c52b,c13c4ca5,bc7712da,9e769754,c4ab00d7,83dbc018,b1c5b383,9c41c245,63edc442,6347d646,5ea5c046,820fef62,89a28c47,df834a71,cfa9f5d4,6561444b),
+S(382b0dc2,c54b6fcd,dd8ff070,6edf8f4f,2ce34daa,4f7dc15,d7f1ee0,b0ba78a0,31e1e109,35d8c994,3ed05b5a,57d91bce,81ba0f4a,8da1454,98a18e70,17f2fa39),
+S(3b4fa983,26fbd82b,59a938f,1aa9d30e,2da395df,f8ed1aa3,c75f0969,b3b85712,57653c2a,8a11d192,4116c658,5b413feb,e8c56142,bda13d6a,175244c4,4b13a396),
+S(5ea8db07,47f4f7a4,db0f9494,3dbf8b3b,9b04855f,93737d30,9c7ab27,8c2ba4cb,805b0db0,1d883e3b,a8f82de5,b6bc6c3e,3b05b3ed,4eb16d34,db8df937,19929403),
+S(21386763,58a655e1,e878aa8,984bfe61,bbc7f1f,c16c1881,40e2cf21,63431d89,b62d321c,82082b74,4f8817d7,dc464804,c1d3e9ac,220dd1e6,a94f17d8,2250d06f),
+S(934eaa8c,bbd3fad3,44cd1996,86b8a7c3,bb0ef384,4e085e55,83030bc2,bb52148f,4613cf3d,ef424be3,af392f4a,6fc474c8,3e3f2d1a,394431c6,5ee6e224,4396774e),
+S(99a5472b,e9d06621,7e18be06,d9a1c1e6,a649a5e,61f3726c,87b21a31,7aac5f48,1e5a68d6,de4b2958,70cdd340,8b3d66c4,84eb4002,9d41c1a4,1d30bc97,beb14693),
+S(3411cb09,5d5dcb10,49e8b927,5788779f,11516882,cc09ba6c,dac69bae,2c63362,6a3b3241,e6c3c802,dd5105dc,a1b82a8c,6bd31e57,aaaf505,fc41553b,2ac08b4e),
+S(f7a6f695,824a413b,8a916cd3,c3403950,38ccc3ba,96803c71,6a498b7b,384d7fc1,7acb457d,3cda4738,bba35848,8bce971,d584ba79,e7432224,6619c0ef,9cff3ed1),
+S(d4737f3e,6bce15f1,7ae3a133,bca08f13,434f25e6,8fd36a62,5672e6cf,983b1084,54a81a40,9f08a597,ba4e312d,f8789106,19189132,40f97ae6,b360d510,4a0b47b),
+S(5b1e76c7,3f9c8353,b7f3c63f,ff2e48e2,d3bc05fa,857ebcc8,84e582cd,83845327,6024ce76,eaffe03f,951ca26c,a1550d96,f468385c,157d9a79,eb9a20fc,fe841e2f),
+S(d201ad7a,72d692d9,e87a7a83,e865965b,48e90ae9,1481a927,34c90133,f725d589,310661e2,9fec5d37,96484ee1,bc6a6f76,e8da9e1c,f10fe672,6dfaf737,d78119d),
+S(cd1f2c41,55b8119b,c5b9bc31,e5817a8a,b2268a8b,a526c005,1a3e23a7,abe8bef5,35b8f656,8b84d979,64b29050,77f01e9a,c2024236,29614688,df077aba,1b639048),
+S(89c74b7c,e763801f,41ef6dcd,a452fc7f,a39f621b,39fa1061,a2b4bd4a,9649c9db,d5cc7a8e,722df783,82c168f1,91142df3,e15c161e,3a8471ef,236afa5f,a98a9f93),
+S(ffcaa11f,317a856f,300df9be,1dce6c40,88bd5c28,b08861d3,87f3492a,d1004bed,ccaa2565,1ce602ba,72c899ad,f5f9be23,910ff5b5,1e3fb1b6,e2eb975b,c43c1492),
+S(35903c6b,58659353,391a50b7,1a9c8186,a4dc7ede,f3455ee4,8ecc1470,263e1b8f,d44d9022,a5cfb61,4f56b02d,a83b67e1,4c3eeb78,caee0a4c,7f404471,77ae7ee0),
+S(f9138261,2bc1de8,eb9d7062,80ef2b2,fa7fcd30,d157130c,784d7698,dcce5183,4709a971,d0008021,37a9ab87,27a705bf,cf1aacbc,822dab5a,d9334bd5,bcc5fd5e),
+S(244ad0f3,26371ef6,f6c29f9b,7ef567ae,98a2abb0,cfa1561b,e9dc7f15,1e8833c7,53c1198c,5ddb33ac,37af979a,f40e321d,e87304d8,62efc794,2c944260,65de386b),
+S(cbfeabdb,c93dee73,6f54f500,b33c2d0c,8c66b5af,68dde61f,c820ed3a,1ad2347a,f1416c9e,bc04c0a,792a1288,a20d0544,b7452aed,33f77b86,77b806e7,567914bb),
+S(714246f7,3eabb0ac,af298c16,1bda9c3f,11f8fc8e,78b9616,2591242d,f0e870a3,94d8e600,cfe23c05,c9ec81e5,2c9e440a,af477c70,590f5470,31ece7f6,778edc56),
+S(d776c80,63f8102e,805317ce,8e0b31dd,7b8b094d,6137c865,184ae51e,e07b924a,e66f3ab8,998ee226,f1259e4d,25d98d35,918b2cfa,abfe56,4a10c8fe,663101a1),
+S(ef99b2bf,80bf084a,6483e319,9b4b578c,800eb85a,8634222a,197700c8,92a05310,94fc3ef1,12d050f7,e7d34ade,e89faf30,b651e10a,6931e4a7,ac2ecb48,fab90ba8),
+S(c84a0ac1,8b659ffc,ac9e2dc7,57248e23,3d71fa98,90327e76,9441231,666f3790,e0973e42,73cd51dd,7233ca34,43dac778,3cd53c25,6816be1a,fbdd636f,936f7fdb),
+S(b5572cfc,61db791c,d8b19da6,6fc11df6,e8776505,c016e6ed,96f17b97,c2edb89e,608ed024,b606b10c,5785811f,8c333fe4,95a726a2,ebe56680,b00b513c,aac4e0b8),
+S(68447029,864934d5,92907821,5ec5ab99,3e00bd52,fe4994e,42978327,bf35a6f,31521acd,69c57644,ef35bfa8,cec803a2,e825c740,36a9a3e,fe831364,d00fd897),
+S(fc9ee8ac,9fb265a3,7c26358f,8bff851b,d2a7aeba,2dc2a19b,153f649e,97d75605,cde1f563,b971ba67,dcf3d759,2752221a,babd8ab8,1d8a5a4f,3dda35ac,44c01d5),
+S(7e86c9a0,d024eef7,91758bd6,899eee23,ff032336,9221f3f4,2b604ffb,33c473f1,2c15df40,6cad3479,841ffa5,14513883,978af93e,42aeba3e,c8ad64f8,df60da24),
+S(e2b33d9a,8806ccd1,7d34a916,c4caa169,ffc9673c,e8eacde,19bbb286,85003732,5610c3fb,f0a6b39b,ec5c8cfa,db9296b5,86c6677d,61220ce2,b1d19bd5,9f44f72e),
+S(ed6b2e3f,eca9b628,d98e663c,a3c72b0d,b853c8b7,a9cb9c4e,9247b8bf,84b2f3b3,6e45aa3d,f766a732,fe91f124,9148a96b,169e3b88,7dcf90ac,f972e91c,b25ae9cc),
+S(78ed22a,c278758d,625e0439,3e273e7c,24acc72a,3975b497,ecad1314,df2de65,a2991712,373d669d,3afa81a5,c1e043fa,24df04e8,cc8fd13,32025186,f459913d),
+S(3f3e7509,69153c5,378f64d5,7fce5aae,689f20a,8deb05ff,72077c72,b116996f,63d56b8b,92e77496,b86bd0ef,8bf803fa,f1d040d0,cd42c975,c7a08d7e,fd5056f2),
+S(2540390,ca25189f,381b398e,3fd46acf,d5918215,a8bf9a17,d25179aa,fe75c1c,1c6f1725,5cac59d2,ebff7c4e,322694fe,96f5e2b7,e3927c9d,56134007,fc6dd9ec),
+S(ed668903,3dee44be,80e9792b,b95408bb,5d38b016,d75490fe,2a22b118,56524fce,1a5c61f5,e738180c,cb533faf,ec9d3def,913ec31a,8c8463f3,df097f81,36375093),
+S(a1a86dbc,2061e047,6ecbc303,2d25c159,414a6860,fcd818be,202a0f28,ef803224,ec9fbcb8,31f6720c,1735e505,276acd05,d957ea94,5b3af60b,6e1a2ccb,ede5b706),
+S(c6064cdb,4feaaf24,89c35475,54279d3d,f1e96556,e97f1ec3,449fc747,ee8d0a2e,661f040f,ab90e5d,c9931a8b,297f2e61,9a24468e,432fb2b8,84acd0d,5cee7dea),
+S(25b5f3a1,656c75ea,4ce2fc9c,bdbd2f36,78ef6e4a,9c2270a8,8b8dad5f,6f55fedf,8c48ac45,dbe199a6,5c9d72c8,7c1940c5,f17f59ca,d0c67211,5c2af898,7b142ec6),
+S(b8e77df0,e23c94f,6f982ac4,37540690,441135f0,948f019,b79088d6,9eed91ce,3105acf2,23c01ac5,556b665b,d6b1919c,dde81dbf,7d44e18a,17bf67b2,833265af),
+S(2a19c0de,d617ce9f,ff906686,a72bef9b,3ee2200b,ce71aa87,e18c2767,32421500,281d0c8d,dac57006,6c8d32f8,cafa5f54,404a6676,78ae9a0e,a0d19f1d,d0d24a6e),
+S(5771b96e,c1a30ad8,d2087016,45df9b92,759c312,cc542ab9,126d3207,827e68df,ab4feadc,4b37a329,bf86e4,81786a0f,e1648794,689d0fed,183d7b48,fd53f760),
+S(183fc4c8,62788f1c,7b7036d2,96bf7193,cdc93d6b,533b8c9b,ea28a9c2,9a5a9c10,2c019a73,5cca1086,e73948da,5d15f816,cbed1945,83014a64,24a586cf,501ff5e3),
+S(31ebc0ae,656194c2,ee49f25e,28af673c,c65b2224,467ff0cc,920d3780,2dcfee7,d2db8690,89c5f10,b76d2d8f,cfd707d5,db7b3cfb,38903b6f,c4ebabde,47edd669),
+S(a843fb7a,af70c96b,e7812f89,789b05c0,63824134,33476cbf,2a2b31cb,5a8d77fc,d0091386,435d082c,38fffaac,671129ab,f5e3461b,dc8295f9,9a064ee8,9371f70),
+S(76c82448,6820236f,39701ac0,5290315d,a6f30e30,91d086e8,b3c934a7,871c038b,a4cc0e55,c2048935,c5c11b51,417950e9,dcd4ac6b,839b850e,efd2b890,17f5b4f7),
+S(61653255,b4fecb8f,7fe9e6cc,179ded3f,955b359d,cf59cc70,1ee85750,b31a1d63,e197d8c5,d2571f03,931da039,b59989ad,390cac56,4982952b,a17e4d47,56f57582),
+S(eaae448c,9a862f27,b55784b7,b3275e1,2d99d369,2aee475,dcf2d3ca,edd500d6,3cf4149b,351205e6,5ce2593a,282264aa,127953df,7da3cf9e,976af775,6be084af),
+S(858c766b,faa67e75,672ed7a7,f0bf9b58,14217fca,bfa31b77,326d98a8,f6c7ec83,4d019482,93b2a3e1,d6f16dd8,8160efb,d15e29ae,e4c6b7f8,329127b1,7d0251f9),
+S(cd384125,aa1dcc88,fc2c237f,2ff68117,c9517217,5b8c4f9b,a677ddf4,c2ac23a7,cdbbfc3f,d65180af,6a52f3e0,79f169a2,1dbaa8c6,bedcc4ff,be67635a,a1d51e1d),
+S(5387bb96,b91fa67c,823e41ec,8dbece4e,cc1b6182,d50fe91f,44a02d74,90088659,bb7baeba,2b744ee6,8ff6ca19,64457de0,62a5e0a6,57edcac5,d6019bdf,caa25e01),
+S(31ad9536,a6c16f44,c00189db,ecc8c527,304ab3b3,89bc7425,47fff91f,a088c01e,f48cae34,98357da9,5c47a41f,bb07055e,2061d037,35abe3df,8ff2fac0,cbcc246a),
+S(18741256,6398f4b5,d2c34711,fa0e952,bf4de5a0,338bee49,a93daa3a,fdf29a47,5f96f31f,870511f1,a390a0bf,f9d9d383,2a7e3bb5,e8c515aa,f6022437,add8f159),
+S(e1e5b96d,cdc60b81,19ca3138,9544c7b2,bfd587ce,6f42188f,115f4ac6,99e60793,cb5d9f4a,6475154c,7a285cdd,b0c115f1,765e357c,f51d8388,c03bf829,9a6720ea),
+S(5184ca38,33208dd2,c04279f4,de77916c,fce7b4c2,1d45aadf,293842cd,56fdcd39,268d16e5,59d8488b,a076c82a,9587834e,87ccd65,c98feb69,9ae33005,299d2ec6),
+S(d11c12e3,6646124d,c2602f0,b68543f7,e62ac955,8505f479,236ddc03,e9e6251,9d429bb2,d1378d9e,8e986f9f,a3d1349d,607df6b0,c48de566,d537c48e,10aecdd2),
+S(d55753b4,93da41b8,f01da15d,ad5e71a3,655de4ae,b56a6fb5,9df058b5,f6636a9d,ee5270ac,db3d0e8d,6b46b948,9740311e,24925894,114d6c4c,52dbbe1,c4118013),
+S(3f23ae1e,39238fbb,249606ef,d47502fb,30255e87,97148a90,5e3bf259,92429eae,845208cb,c6420538,410d5b2d,aaa28712,a2b77fdd,5241833f,124dd025,38d515f1),
+S(837d504b,7f244155,1003c511,4e905b7,2bd9ea37,c690d9b7,381b2084,9cf7dbca,db355b5c,25d9b17,1167d31c,c5011a6e,2069863b,eb12164d,311e483a,21c2ff),
+S(3d7e0c2,dab7f97,866a591b,f8187705,e31b7b3,bfea09c0,502b7a0e,c0037b5c,2a71d18d,f997d233,5a405ecb,d1ba09c8,8b282049,69215d7c,8a390435,8888a41b),
+S(99f2faf7,8cdceb1a,70fb3076,3c19d54c,e16aba42,4e75be22,89f0e521,c73f3f23,778f4a0e,25c3844f,5aaa9082,cc985aef,dfe6e692,ab40eac2,9ddf668b,b28d0bee),
+S(32dbf023,d57b27e0,5be2989,bbf1637a,7b3133e2,84d434f1,df8dcd56,70f9ec15,91d820ab,7a4f2350,49814592,ed2c46d9,fd7da87,a392b5e5,9dc309e8,ccb863ba),
+S(2e413a5,b52d61f7,1290f182,9d24cb58,38339ebc,1b6d46f0,3c55334c,61ff64ce,474be10f,a3afedac,b9c6cee4,640424c,d7d3d6a1,437f2d0e,79e0b20a,8bdf2553),
+S(955e7565,6052ab57,d05beac9,fc586758,780b8979,75642db,cd11fbaa,8e9deb7d,9276041f,cab762f9,929a6f54,a619e6aa,9613a794,96d32fe7,2e02ecfb,2a22045b),
+S(1d6ec4e2,cc1a1dd3,f116845a,3173d350,c9607bd2,4e6db8e1,64220217,9208d805,2b6ff084,f5c42222,e29ab094,6f82b5b,f1cd6f3d,6d01a2ba,4d0744d7,ea95d0f0),
+S(6ba994a7,9090acef,e756192f,91e97d07,82f393f1,c59f3b7a,786beee7,63ff0ec0,5c800150,c9464bb4,57190378,88247938,e26e54b8,93d25b7,6ef7ac83,78733f7f),
+S(8b914ecd,2e19697e,83aa0196,70e1f955,530364fa,4f592638,b241a7a4,e07bd8ed,aafab68b,f3587e6d,8a078717,27e91eb8,4d327ad1,6fb89154,52a954af,e85f332e),
+S(295e4ed6,380b91a2,a6628b5,820c11cf,ec407294,379b718a,5d4d88b4,3a2f9fd7,4e617c6f,b89074d9,818815e7,2a13d34e,58702106,f1470e80,ffce03d9,ddae9dd8),
+S(efd76a5,217fca77,80aa7871,3dfb886a,f0b18e91,857ed243,2af704bd,87cb6187,e8f4d552,5e1e84fe,b89793f2,12a508d2,4b7ad2f2,903c38f0,d6729be1,6449cb1f),
+S(44acefc8,e7148bbe,3c634bde,b8e4eb7b,618a135e,9c1b0ec3,6b160975,87284364,5eed55e8,8ba8ba5d,afc804a2,3cd5e1a,c161e4b,69d9bea9,da22b9f4,d130563b),
+S(1e7d7ba1,475ff038,1fe4f0b9,71609d3b,d315d10e,329520f,3832418b,541b4174,887863ef,78a7ae20,acde554a,dd436aea,3f61ffc1,24023448,ac8f66fd,5e206869),
+S(6fd945fd,d8043a74,c7c57341,a0581ea,c009ac76,1eef33de,277b7205,a7a248cb,6bb15fab,559c4d8f,32fae6f6,fb65c15a,222b022b,c8c57c06,b60f7b05,65f2760f),
+S(34ccaf74,39ec22bb,2287400e,663350e0,1bfa2682,2fe851c2,faf4aae6,941bd5c7,91782420,76a254e1,a30b3ee0,29a19110,4af5fc0b,dbee533d,5c62a90d,2d9766dd),
+S(554384e1,90581b4f,1bb6d971,9632e002,4476c913,30cdab94,5d8b86c0,491a8362,190ee656,95a73bcc,4faa6dd,9cd0113,ffae600f,fc13cdb8,14b2189,779aad2b),
+S(75bc28dd,cf96c6d2,55981f0b,cf08df49,e48b162d,baa21046,89924a39,5db3386a,cd49b1f8,ead093ae,a554b9e4,d2fdcd18,ef614118,cf0baa2d,c83f2c37,92c23175),
+S(4d094d69,15e92b69,b36d98d,8bc0e31e,ef6d49b5,d3d11b63,95bdd831,47cd679a,2aeb7bd9,98bb35ca,4554ed6c,91d92042,9945f775,8697684c,d0c63887,cb625264),
+S(38b35099,7cde0af0,61ef1a3f,ab9e038e,988f670c,b06b39f,e611a5ed,227831ff,f0531e87,deba2ee2,117bb773,c933b780,71b2b8f1,956dcf8d,af99ee52,d69d67cd),
+S(96bceef2,da234989,f4deec66,5a73ec91,6b284242,2a813a3d,f78c131f,4ba2165b,dc844f47,7ac5ea55,114aa18d,65950318,8b6592db,dfa62c75,d191e7d6,bbd70de7),
+S(5badf11e,b896ab6e,f49de6bd,7b6adfef,840a0261,b173d89e,884bb453,5d7def8a,939707af,ad49890,2268485f,697d95b1,8082c75e,7b9d379f,4f7143d,27f830f),
+S(ece21ae5,f5981e,e05869,fa9e581c,12773fa0,2b463515,55ded999,ce8acdd8,7771180b,9fc2d3f4,ce5d2ce0,a5e15c0f,4c29d135,62eee682,f80cbf26,fb812c9d),
+S(650d7149,30417468,cb918e91,6234ff3b,1bd46f06,b90184cf,41d9112f,e472d26d,1f746358,4fd816de,89c86e9,39eab19,62a49305,775d8a86,6eb1ad35,edf48961),
+S(f344bbd2,7ae90f73,b6f9a152,603dbcda,f14da6f8,f9ccdadd,88631de7,286b95a8,ae254238,b63ae9fb,89bc5be0,3e36a0bc,3bf15159,27094287,b9278988,b77a8ea),
+S(982c94e3,a9dacddd,c1ae1394,cf93f8f4,91fa9261,ddd81e09,826b68e2,992c01f9,7527ad8b,39813588,6000a328,84b4f108,a4d6791e,2fbc86f0,b0038c40,ad280ea5),
+S(b9885add,38946d2e,170d4bc2,361e44a2,859f2166,8577a099,f9d42c4a,170ff9db,edd69b3a,21836af3,a68c9e76,a7d62c47,3ee0042,3606ea6d,477126e3,b88f04e2),
+S(4b34b984,4f57ae76,8bb666a2,b610b4f3,dc71b651,e23ae7ee,7eb2faa7,73a99e4b,4f4ea965,ccd9e929,b1d2830f,3bfe37bb,53be8f2a,a7c3a67f,9575d508,39cf2580),
+S(ac8b24e5,9aa829ba,a7ebc7d1,4a25b14d,f770f0f1,158bd924,50b6e448,5af3bd7f,b25ad04,4954b659,8b8edcda,bc3b28d1,6b42a286,82602977,87c95360,ab2242a1),
+S(88ed52a5,29858067,59b3ffe8,c1de8453,29d9c427,b7825931,57d8c927,43f1732c,d9dddf46,92f3d20f,7a99a3ca,a855a272,9143ceea,28c887fd,c054c6f,bfc25ba7),
+S(f189d8af,9c34afb4,4dcfdbe7,996375ef,d8b9cac0,86230acd,e6972b19,1e1bba41,9a652729,1209b68f,722ff77e,38af6ff8,8595be0e,e1433afe,787716f4,8c69cc70),
+S(6eb98d26,50dd58cd,8b7ee6e9,663585f5,77ccc3bd,3199d34e,2589b2f3,2deecd91,1c794824,bef31b44,b7497bd6,3966ca73,fea5ad7d,f640630c,37800e59,ac3d4afc),
+S(75f5ea53,2e89dbfd,cbebd051,c129cfae,437e70e5,ae3a2d89,1b20588,94184ad6,faf379ae,6645548b,573142c6,8665eaee,882de32c,dfdc358,c778ccb2,dbca8107),
+S(d62f599a,f29209ae,c7818548,f833ffcd,4d232d6,e297df96,4329d5a9,e7300c4c,61bbc3d3,79088b3d,ae30ad32,da25aa41,17b63b17,84bffd34,9cc7a5dd,9635e587),
+S(2dd9167d,388f551,839fcda0,8c0b2f99,5bfb4fac,2f31dfdb,4cdf6822,72389b08,de646ee4,2a53c47f,11214ec7,cc46bb0,31ecd599,5d02935f,d49d9e0d,61c8bc4),
+S(5e244f2c,87e222cd,70d4c4db,4020593f,ede6e3eb,fadb2d7,c260a12e,61349323,336b3413,ed5f1f7,f82db066,439e329c,323b5e68,26bd57a1,1038ffd3,2b236d0e),
+S(9ceb7373,d13b017,1d1dabb8,4d22a756,52ee75ce,5943238,6784f06,4fa9dc80,80bf893,e4162d17,c7792fd7,d89e283b,7a6f3e88,fbccf0ec,251f09bd,93e46714),
+S(aa4de7b3,6d1990f,5b2f2afa,4fa71caf,bb852321,dac68f81,c65cb997,306bf020,6cc882d6,577e5958,8d5a2a8e,ac18f0da,f29cdb84,bb1f6ec7,19b53600,4621196b),
+S(dc1db767,2e425cb7,b1dd376f,37bda82c,6fcd98d7,c9dd1831,5368c4f,2e95f5f3,fdcdbdb1,926c987,81c0944e,bd13f28d,97fb9a79,2b7d4b96,8be1cc0e,a1c20b75),
+S(3ef39100,83392f75,8a78325a,44dfdf2e,5083d8cb,396d2b0f,1e4fd37c,47cf799a,f057ff96,da3779fa,f9c66fa8,cc59801,44ed2dda,561370f,4c3e1800,d0dabbdc),
+S(681c2240,fffaf870,ff80b853,ee1aed59,c2c6d435,d0319354,7c4ef991,1e2e4a8a,16eb0138,56342438,57d3af9,12403c06,6cc48eca,92fb6614,b839e46f,8b939450),
+S(8d013629,1912293d,c39537c8,3ebfe514,3e831e69,c844a076,c227926d,e5f9a774,b422e532,e989ac8f,1369c95a,63bde2c,20f02ead,254699d6,bf3d4a76,375c08bf),
+S(bdd10d52,da3d9deb,e664ad2d,e020391,665f32bd,7b236e02,adb6ad1d,7dfccece,201ee4d9,76d70c3e,cc06784c,a33b84bf,ebdaedaa,1df478f6,70128198,f1b8f66c),
+S(2d34aeca,2ee9102c,bad92b30,2802386d,6e7af432,8aaeaeb3,939e3435,98715d2d,2c372a9a,4a4f0daf,a32acf6f,a40acacf,be6c668c,1306b93e,b27fb43a,a82e0083),
+S(717776bd,d8c65a1,62ebb2f1,cea29ecd,9a843d5b,92f91278,3cf4c819,b26158cc,bec109f1,29997d51,e032f8f1,f453e222,4e2466ca,ae89fbd0,37a119ee,45588f),
+S(a03bfc10,6f13c570,be92a85c,f72cde29,caa157cb,8b434ed5,c958f2dd,3c69ae09,8d76f55a,959eea82,c18d7328,2d5fa91d,d747fa13,67e64b0d,3d0b0a94,e58ee0e4),
+S(b3516031,30e3198e,4a158cb0,108c8187,88c59939,bc813423,3bc51ca0,314832d4,3a5a4dcd,9fe0c5dc,bc17a082,396a93f8,36182c7e,2e26670f,d64ac6e5,8f022c27),
+S(a927baa6,f7cf01fe,1993e1ad,c435edd,c806af66,6c9d2168,44a86bb2,2d7a8951,489734bb,4fe191bf,4535c812,a0e2d3f0,fd8020f2,ddeabbfe,c740fafa,7ccfb468),
+S(54df921b,5848a4da,22c4dc63,c46876d9,53368446,e6106389,55ff00ee,61d75a13,25de0b92,52968196,18d606f5,d2c54e7b,fa6c1980,bdacd4a7,54a9b2b0,4015d8fa),
+S(5822acdf,704948e3,c9112d0e,e718bcda,98eef3e,bb927d14,a1fe1952,1d64361a,c8bcb245,d5aa9e2e,7d527508,38db01b4,e2487197,a3ba351a,f2fb4b3c,19d03895),
+S(a58c52f1,ca6983bb,cf2e8bfe,592b8d9c,b2a78dbc,e1f77931,14c95253,6a2d65c9,43626050,9c114db4,eae66452,599b145b,4d16b14c,cf7ce807,9a9c531b,7f3cc46b),
+S(2db642ec,2bd88fed,7e624eca,e8022f7e,453cbfe1,1a6b00ff,726be4d6,89a72418,e3e73ef3,403e341e,e032ee00,e99b1f26,e710571d,81ac93f2,5855a8f7,32265440),
+S(45b76e7f,65d895ec,24756195,187a4612,7dc9b31c,5e3e5376,e3af20de,b7e69a8,b2997f75,7cafe61e,f8a67043,a624e55,c10dc237,2f4b9d60,9692b269,7c616fac),
+S(accc62eb,bee83904,c01a32db,e4af9b0b,50f3064c,bafee18e,eb49bcba,d53a41d3,34054eed,c77ef0d5,e865ea30,f505ba8a,ffc94474,5722651d,294a2520,fb7f4f0a),
+S(1de2f5de,b1658f6b,6d20878b,9adb8a4f,6535965d,63bee989,fe23e4ed,a77f07e6,96762a16,fcb2aae6,ddce8f55,39c57f57,fbb45d09,26738e6f,82085d3c,ff0f20de),
+S(5c51b67b,d4c0df54,ce75b09a,c399c293,4fd7a991,607a0aa4,a0f6629c,645f57a5,d1082c6f,66cd1aba,86df3edc,39b2e579,6e6975c8,ca018310,385173e8,5878914c),
+S(8d7421b3,af8ad663,e7155f89,25bc9246,af7b3bd9,3c6a1097,afadf84f,7b041434,bdfa5121,e17dff19,6c105c34,b9d0bb18,8514a9ba,7dfee6c4,45c7855d,556409f5),
+S(5608f4f9,f6d1a0de,64f22794,7fbdaefb,24b797e9,1f6db6ce,f3986d65,f0d4836c,1e03f309,f4c0f432,eae951f8,6e876f24,35364778,2249c36f,cd7115b7,8248a1d1),
+S(24fced9f,ec868343,e6d6482a,1017853f,6687da3f,cc8e19d5,240a0991,6fa61791,8884a7a5,c742149f,88af0fdb,7cd59bfb,d318d8d7,60015afa,6bf0474d,eca7c214),
+S(d9f8bde9,8bb83348,33783e9c,5d8ce8a7,85b9e335,6921bebf,281c97d7,bd000fe8,59d46892,a3d604fc,a378aad4,9645c747,2ecfae56,8b362e15,c0acb755,af7103c),
+S(617f21e3,af5d65a3,a504fe95,34ce6bcf,71384bda,272ca49a,1c36ea32,d367c4d6,daf8e0b0,4bed8f7c,2d8ae9b6,afed54c0,904c6010,9d0c07ad,5f57178d,2cc037b3),
+S(e1bbf189,83052820,ae65ac4f,e5a6d4ee,5b57c3b4,c0b2cc06,9f84b25,adccfdfb,3cd52ced,d7f04a93,86f4845c,49af86e2,c3a86984,fc4c77f1,3200017,ea68deb6),
+S(83f82dc,7c709587,b883f1c9,e6cece13,2cd510bf,3664aa79,220892e5,dc2dc8c0,24c2a1f4,7c4b96f2,86265605,d9348dcf,8261737,56c5d91e,2d1beb4a,a857525c),
+S(5ccbc6ff,c4362b4e,3d3a72a0,76ecdde1,1c1b07f2,680ac16d,63cca8ed,df924085,d54095ae,f357dbd9,5c12ad03,78f428c4,beaf44eb,23724fb6,cd0726cd,e1f04fb7),
+S(c83a798d,c8b1ff5e,41ce6563,f35e741c,a6020a80,319b5543,1f81726,818307b6,c9cbf8a4,747baee8,2e156cf0,4b0d7762,2638e8da,7731f4ff,60bb9ad5,62b7588f),
+S(c15d6466,c7f0bfb9,ab8a0013,300dc6a0,aad45c60,c2fcfbf6,7c9ca24d,7d2a21dd,cd5682ea,b41b707d,9b787315,8b4e347a,7ae682a3,cb950e1d,abad3b0,c8c42bbf),
+S(e9606086,63b9bbe4,35826c1f,3830dfb9,f8479216,5c57f28b,9fd28d5,7a277a0,37fb1f6a,6d3cee79,ee2eca6d,c499fcb9,e2896942,f17fe885,25d2d57b,11c8a198),
+S(f8a3fb79,afc8a94d,d69998a0,f4889dec,200b4b72,d2900c75,59371ee4,412df0d5,d5e0f5db,b4281cb2,ce21fb09,9176362,90351fdd,5961db25,ab677dcf,d4fbc0cc),
+S(17f3cc7c,64540e31,ac6db6b4,ae67d100,46b7665,450cc011,dbb558a8,56a59b2e,9d815416,553ba751,79955382,12e988d0,eb0e0493,f880c217,5b90f423,5763b624),
+S(6656be68,bf528239,51d7a392,ef22b258,42fb0646,8908fa1e,fd91d89e,a54f6150,741d5373,7da163c5,3e160d5c,b3f9f118,273c59af,75aec2da,bf788e8e,e870cb69),
+S(67ec8648,83ad9ca4,22fb181a,2235ee66,cdb74f0b,f8e5b808,c37ee314,35598cf0,8da1ae29,4f37153c,1ad165b4,474a8f91,e7bdae4b,54b227c6,57e2d3ab,f3bf3fb9),
+S(c9e8a673,3680fd41,83005ad6,97c78a4f,abd5d048,1f9bcaa,7c8eb209,68240412,fbad52cc,a0e510d5,e5c813d8,13ba4559,716e0787,4f48c20a,f783a807,c1848eae),
+S(dc11b6a8,9c6b324a,f2d67e4e,9f59f32f,8898dbdb,d612f157,e0f24cee,d2709dc9,8c20a8a3,c273c882,fc6a59cf,ce74f115,1d0421d4,bc84a11f,2def142c,f2a8b080),
+S(c5ec365f,7c0aa7e1,94fb5a90,ccf8fe3b,3c90e413,f3b24947,d8246024,7a2cc2d1,c5b39d08,b23bb1a9,c5886e51,abd1fb2f,d55ff334,81f020d0,6796d978,8801de79),
+S(fcc03866,bfbe3215,9cffee9e,bd6874bf,10a5055a,5e56826b,37322559,5381650c,99cd7d3e,66e65f1e,5eea297b,f957c699,b844cc35,cd19dcdb,2d3a5653,f45b59e4),
+S(7c96526,7ade46e5,693ecf09,cb052ae8,2a4bbcac,d07f136d,86df45c5,bf20521,db8e1dd7,3c961137,23325d6b,fb728dc8,f0a85141,ad1a00f9,53100aa1,5519d444),
+S(39d11c0b,2169d3fe,4b5001b5,a8da1fe3,a7b14ae4,e329b931,f7db92d,86acd02b,46fe1f3,65805c5c,3b731dcc,d46ad37,1c2fb6f3,b446e466,ab80aaa2,5200302e),
+S(3acaa37c,4acb28b5,6af7f970,ce279372,d2b998e8,5ef20932,492ba5b1,7b79240d,6effcb72,4a7c7dd8,b8bea6ca,322a8540,f38cc5df,a06677c,181c45d8,c4e4a4f2),
+S(fb631a1e,25daa546,47492d26,fafddec,6f38c08e,e67e67d,af1c57f3,ac3ac79d,90b04e04,c685e4bd,4817c367,22892881,fbec8c09,1e5aaaa9,7fd6a163,b68f2eac),
+S(3edc2ef,2c609f0a,c77ec4c8,c035a537,3d4ec7e9,6addfd7e,87f040d2,df98aaea,7e549063,ba715cd6,35719b86,c0b6eb30,68a71420,7f480f93,6d78f0a8,d9251d20),
+S(bd4f2218,7a9f5164,a864dce0,2bd1a89f,d283e62,64255b0b,21d2f6f2,62fc419b,d5eb78a9,d2337e68,3e3a77ae,b37b170e,69f1400a,2383b339,64dc6726,7c5db5e1),
+S(434d9881,70badfd9,5ab26ab,90933eb8,89bc6a88,60e6f412,1e5dee2a,f82341e8,c6af879,cbd7d5dd,16c3b06c,810d0263,2853986c,ffb11fd3,aa2be2ad,db55c4e1),
+S(9633c8b0,653d8010,e785ecb3,d710b43c,37ddd97b,20f26c4,f9f41581,cdbd991c,13b53adf,b4841e2a,2590609b,46b604aa,3bd6e758,4d443db1,6a7ada9f,9a49fb71),
+S(ba656a98,c63d18f0,c4aff8da,3bf05cf3,e3781cbe,db5d9083,a8828fa0,c2fbabfb,90ad3738,f28fa937,cd4149d7,90f8b4a6,d4989c5,5218023f,37742c3f,1814896d),
+S(cca5c935,ad4a690d,893b3bb9,cdaf2e6,102c44da,d9446615,2a39206d,777ca72,3c060ba8,b14da1ad,41991c64,95e14465,9361c724,d895a0d3,a3694d45,56c7a146),
+S(b22a22de,c827e8a6,dc630b1f,11229bf7,ce8a5030,608392e9,b03093cf,47afb358,b10c49a1,4b30449c,200bca1c,4a0f3df6,7d978988,1be46597,c1e5334d,5b5a2e4e),
+S(b4253d47,beae6a36,1dc45090,c358275f,fb8e0696,11e51b3a,1aa7c2f5,273ef8f8,c0f4bbbd,e98d0960,f9a59809,83d8c4d1,35eff1c9,2ddc9f2a,6ee05146,eadec66b),
+S(60d75d74,1a85d65,b9edd2de,8a03f6a5,5ac6d000,d39ca913,9fdbcc47,fc3da6e0,fb138bcc,da55de59,d496b784,9532d99f,44935e6c,b08be8dc,beefbb7d,74e1fe7f),
+S(ec63d10,e66db9a3,7cb5b88d,811f2f6e,aecf51a9,e39374ae,92df325a,aa560a85,1066615c,d2fe8397,d2dd458a,f6ff36fb,60547398,29e6d6bc,74525c29,8c3d3c53),
+S(8df7f52c,8324b50c,fac3e27f,6f230e9e,e4926895,c8f2785f,560ba5ca,98b9feb9,6832846c,a78a18ad,3747b1fb,d8cb6a94,fb3b4977,3db3c0b0,c873507e,f1519480),
+S(f17e21f8,e97bce5c,2e63285a,f9e361c9,4a2e6b45,f437c1c1,a1310988,b63ea49f,12690d42,bb90b05,2fa4b1d7,d517f7bd,f6721a82,e0a9059d,caa5ed15,a7acf7b0),
+S(4b0e0297,729ceb7c,4c6a4caa,73d76ee5,9d8f8547,9f582fa8,ec678339,58c023af,73f6affd,3afe58da,5ba3e0c0,9a043e8d,100f1275,dd9b9dfd,42ef4f47,a1aae067),
+S(203174f8,fe8427ab,42bb517e,67e9c13a,3a39700a,158c3581,a0c5bf76,79f950a6,ac630f01,6b268772,72e422cf,b74a3a1e,dd1f581d,bcf2a1a0,54946a15,108c70bb),
+S(ac34d445,cfa711d3,fa7a8c5c,bff5206d,d6dbd22e,737c5b21,6e6801ca,362c4b35,91a0a6aa,fbeeda5c,abeefb76,f1bd4b23,e850e1a3,9886344b,282dd0a7,f0b6985c),
+S(81ffda88,a45f8b82,e3e249a7,457fd1bb,34ebd35,58619855,6ff7ecce,73dc7998,eeeb1a42,125877fb,640b160e,4930ba7,3f1e22cb,51e33946,3935787b,5d6e353b),
+S(1a281d34,5b4f227f,2a6d4139,db2e29a5,7493b1e7,f099edca,ef68b3d7,dde37dc6,63baaccb,8a5c1de9,f1aa33bd,2fc19189,619a71e3,f9b290c,83fe7643,bcbfcd25),
+S(ed9042d9,ad110ff0,6be64aa4,cae0422e,c9a8aa79,4dddc1fc,52df6098,8de1ffe3,9ede1c43,5d6b8a7f,61591d37,e166485,3071c894,f18f85d3,d8f145ce,98208b95),
+S(1f5b14e6,1453557e,f3ccc7a0,1e2864ef,43dac2c1,ce737ba3,ffefdf2a,3de9622a,c0d40622,5a4f8b24,59ae2d22,69908c81,5f901125,1e46a683,3df83659,f2a474e4),
+S(218e8943,96fa8e79,2f29b53a,de2f9155,94d95a50,1eb1a1a7,c8b01b32,75e8c117,2701de34,af2aa192,79dfc9fb,391532e7,56824da0,38c60624,3771dfe5,aeabbb96),
+S(d6ec122d,463c0f2d,a994bc46,a968693b,f282ad19,6a6471f7,6516b5d9,2fea7303,57f84e4e,9d439701,19f58c6d,426265c1,25734ed7,c10db0e8,e5b87ebd,d584981e),
+S(3ffb48a5,58fd6f85,b1609710,1be54107,6182a7f5,a5692074,48d82dd3,e8027e40,aa410f17,7c08cf25,a7a9e9eb,33f2b83f,c83989fe,7a737e23,e0aec6a,6eae2ca5),
+S(c8c69bfa,450cbd11,6dd51750,a5fb2f0b,59b4f489,cf05c670,91a49f13,3963a50b,879d8a2f,a1c26933,5719a389,d504ebb5,498318c7,acf103ee,348d27e,cf83886e),
+S(86097033,ad0a0d7a,982e748c,bce06089,2c6b55a0,17bbcdc9,d26166cd,b0fc1e81,9fcdd6e5,17916ee5,ffa48a50,a0df8ff,98a06,82059d92,43a2194f,fc89dec6),
+S(37cd256b,7502a789,10296144,bd41ade8,f4a158e7,68b6ed2,723d3e57,cc5bd099,5eef9bfa,6e5e1bab,8d8170c6,2ad90725,afc38eb0,db145f59,35520a7b,7518dff6),
+S(70aede0e,f89ea93b,702fd3b9,4f81a48e,aa36cfbf,f4775426,37b0d00a,80abede8,b30aab37,206b8c1c,2f852ed8,348cd387,d676f6e1,2baf457b,97fc49d6,91490f33),
+S(2504fac6,acad5f23,81cdfa76,65fd1859,85e3b32d,d1767394,85d63f07,500c963e,7a455f78,9cfdc25f,d6ef9c01,8e44e6cd,2702ee9b,fbbad8a6,7ee228f3,fbc56d61),
+S(b8bab480,d143bcd1,838f7f2,d13b7a54,8f7302a6,14c03cf1,3e4fa971,5478c280,8d1939f3,abd45a47,686be62b,7c079fe1,2cd2a3d6,78478afb,d21327e1,3599611b),
+S(19370ea2,2e6937c8,b7d600e8,cfee9b54,e1b527d0,85d3a17b,ea2daf7f,2e6a410,c721f3ea,af20344f,98692ae1,b88c7ce1,8655a4a5,9c2c945b,aeab2756,a5ea546),
+S(5e19f6c5,10bb512a,798fe39b,cb37ea2c,da70c76e,d7d1c828,9b488e9b,84ea224,ab34bc16,50a99345,772aabb7,f47f0b2,f92fdfdc,4ce7c9b4,f5bc14f,5b946b39),
+S(e97888a,cd62f21e,76f5247e,fe64291c,e69b8b1c,b331a2c8,292bca63,f3dde54e,286dded8,ec435a9,2155fc1f,18688e5,e69ae21d,eff79a6d,c534e18c,3e7b114a),
+S(4361dc3f,9c039f2f,750e4172,88ba8d7,36158f28,d5e0869d,44207ef,f587a8d,b05b54bd,2097d8dc,c7ded5ea,ac07e6ac,a7974500,8337891f,4b5d6c71,672cf759),
+S(8e679eec,8bf365e,e5324330,3437dccb,768a3955,3c3135fd,3c168109,5ecacce4,b6dd115c,d19ecde8,4e7a2fae,be358448,3d6277d1,19ca2aa8,3bb68ae7,f5e94f49),
+S(e2d80539,947ebd32,8716ce6c,74e5f09d,eabcf539,2e84dfd1,2e33219f,de8b77ec,d4515668,586e8753,74406b32,65c9727f,92e71263,b0f77447,14de6f0e,732fd175),
+S(a2527f0,c754ac94,29bb5dc6,18efc820,d88c8490,df39cf13,a25b0136,37196f9d,bd16d989,90676eb4,36e735df,94a5a5d2,28aa4185,24766ae3,2c7bb12a,e9aa0508),
+S(bfa67870,6db9cf88,139ce56c,4f5165c8,38a5830,d1673a9e,b4b0a218,a3a66319,f6eb6944,dd30d6af,a360a7cd,b360f58a,c17dbe8a,7eaeda38,f3b1eb2d,83c02e0c),
+S(1d5bf7c9,9255f96d,b91a0f5d,82a3119d,f3d491b6,859f55c5,59389e90,a2f533e0,132b1468,f460932d,7e0ec514,8ba77405,8b8cd4d,3e47acac,e52ec9fa,618139db),
+S(44f90837,9b8aba17,44415980,aec15cfb,4edbbe4a,23ce6885,9e4ba880,8a67025e,9c4f9d97,6f1581ac,29818a6c,58c70ad9,ebb08f3e,83dc1b3f,667528bc,3a1968c8),
+S(f100be57,1d4ddee5,291e7123,cab57bd5,c5ecb8ca,6c8a90c4,d2f01f73,87b175f,8899a16e,3a7ad5ff,f0e3aba5,fea86e1,974dac4,d736be38,6c2ad93,8020a6dc),
+S(e26927c2,f3cce898,33a60369,2513aec4,ad0d8f63,2bdceafa,e5f6900c,716be2bc,c1154830,52dc4674,238758c7,d7af495a,f32a4d01,e0c316ad,301606b8,d3136383),
+S(e3a3fcc9,8fcf1ce8,fb994b68,f92b2fc3,c114f2cf,321e89a,c3ba7886,43b0f2f5,214f38cb,7020f57,ca4bd953,16960c9a,250feb38,7519bfa4,abe025aa,dddd072e),
+S(59ec03fc,5195e0d4,a8df03b6,a96938bb,d5fa5a40,161f5ce,2480e205,dfc0dc3e,71421a9c,b58aa65e,180c97e7,6a90454e,d5d8a2f7,739eeb09,be7fdd80,47a4ecb8),
+S(a53cb7d9,3dadccdf,18d4d01c,6217f39a,be621089,821aa92,362db85e,71cfa358,1f989a47,77a2837b,f797c249,4539069c,a24a23aa,8f1e5b35,fc401dec,69d049c0),
+S(170b9efa,13e1c948,a5ea39ac,e688408c,1cb2a57a,a55aee52,e4fb21ff,2f7329cd,f092c60d,c4f8492f,d718aa74,fded9cea,426b4,7277d724,710ac0d,53ba7039),
+S(e1d16c75,893035c0,63eb41c8,36bb8bcb,770f752b,718a02ad,24e688da,79ac3a14,2d58df,7b7bf0f1,60a091f1,b0b209bd,ce5516d4,53f8b799,5707721c,66ed2681),
+S(d45a1024,78595ac1,abd9a582,a3afdd8c,5d33c7d4,caedef2c,747450a0,fd2d675c,8faa7ee4,3923474,12012dc8,cca109b3,dd19efc,52ae73b7,508b23e7,1826732),
+S(d3f355bb,b2ecfa66,592ef13e,fe983e22,b2b90538,ee2f0aab,ee1fe982,62c336cd,ee99b839,7d4b97cf,a7851de9,366d24d3,70169091,81b5a10a,50fd53ef,bf549812),
+S(6ea90fb4,e58f1eb6,f27dfba2,acd645b1,1c7cdb0c,dabf2d49,4fdbb4f0,8ced2c56,74934a84,871dc011,3e18d5a0,aa3207a5,e588a3cb,e8a3f350,4a06bb73,8ef93abd),
+S(de4eff0a,ccb612a9,a79d0983,94e8a883,da348aad,74bbbea7,d477e45,c2b87436,9b30581f,b903cfe7,610429f9,f6ec1ba0,df63038d,db8117ae,ec67d7e4,1a28b9b),
+S(4ba09b19,f129b3f8,db86d780,4630c6fd,9c22d620,677c66db,ce60b69c,c3bb4772,fb31e85,ce50ea1c,13af1c7e,93d9026c,e5f39474,9e91d049,1b459970,c169aa77),
+S(7fb3c3ee,7c600ca7,6a2bc674,a497bfd6,67b0124c,f532d5e8,55aa2c90,c4b4826b,29b970bc,b8f5eaa1,616f3695,5a1b17c6,60b15b1,219388a6,b47a55fe,6cad1eb0),
+S(ac29cbb5,dd2a95ea,5a3b6f57,8c2111a7,6bf2b060,267b467d,5ee8ed2e,554153dc,89d4c22e,acee2b3e,7e7872d6,5d1daa52,54a1a00a,f6b0f7ee,16d84477,45d01c81),
+S(fe956021,e67458aa,c6fe2cea,730f272b,19fe7de9,18c98a40,ba475dca,af3142ad,52c6b42d,6fc03eaa,3ec7da94,5ed12ea3,84e16d0,590840df,6b714a59,d4bb814b),
+S(336491e1,dc3fd4,8d63944b,2578a415,5727daa9,6e853935,a77b7077,d61984da,e9b8db61,51fe90fc,9bfc0635,5b9676f2,cecd1321,292d2a8,c6e30e9e,6b1478c6),
+S(245c6818,aab65e40,806f8cb7,721b7dd8,b0e3854b,7daeff8b,da5827b6,4d294df1,4fc22df2,e7b93b96,b60f2ce1,a659c1ab,1a06c7be,18e5c80c,91e4dd2d,75bd8ec),
+S(8c89eac1,d9ca6c06,8229986d,6d22bc3c,817dbb6c,575ff654,36653101,1a60de8d,ebcd4867,323bcc7,f8dba216,4d827a48,8b4763cd,aef0daf2,5a1c1437,d6379ce5),
+S(afdaa93d,7ea7f666,e737a379,914d1b87,6899cd9d,5202e985,e365d75b,806453aa,e3e9116e,8abf33b7,ad036291,2a3dd016,2aadd1ac,902a9448,30248a60,6760cdac),
+S(d447b974,fcecfa15,1fcf7ed9,8762283,7ae28f74,be8a2a2e,22c3bbf1,d9b23071,a3e79560,f79524a2,e206e9b4,1cf961c6,8f6f898d,43694114,a3f89495,6ecf970d),
+S(53525693,be8fe724,c970f4c4,2b46141b,321e79a,4ffa411a,5d947bee,ac235674,5cc74ddd,7a74afe,2026885,1fe180c8,dac3246f,8c4ba44,2032d584,8afa9f4c),
+S(40e60cea,6008aaf9,fee64781,b5adeb9b,f23d2db5,94f9fad,b7394481,da971273,fa32f2db,263c1f7c,987671f5,68c714dc,9d3ecca1,2b20655,2b23e5cf,8a365b65),
+S(de59a6fe,1fff672a,c4655e87,f6440e4c,bfec2fc9,135f1049,efe173fd,d666acaf,205e5ac0,8cb9c3f9,9023b6d6,795488e0,61ea691,439a22f6,48bf0da7,cccccde3),
+S(89f718d0,23f80ba,df0625ea,260f6ca6,dcf8fcf6,e79d35ec,67e535b5,e9cd06a8,6acf9bad,6dcc053c,f7e193d1,a4c432f5,32211761,aeffbb4d,1d53d737,6b3353a3),
+S(fcd5af97,603e0558,76f24ab2,eb82de83,3c8cae9a,f19ed307,f7da1da3,f1fdac3c,3b7ea3fe,bda44592,abe9240b,8b06cea4,3a8a0ab8,aa862c85,36a17b18,fc911ab2),
+S(208419aa,670256d7,94712f59,bedfe025,ad9ab43b,2037783,4e4c8f4e,9473d6af,b6171d6a,20da4ffe,f46a49ae,7233206f,d9ce1ebf,89ba01ed,9b86896e,43c9fac7),
+S(d7ca0446,88d411ca,c3f3acf8,1bc3f3e0,a9feb9ef,94bf31d7,8a15563,cdfaece,3a361b1b,2ab89d27,6e120d38,7c31f97f,c4d5880c,6ace1813,b4eb95fc,37db069e),
+S(30b96bd4,b284e36a,f790695a,e2c8aac7,672a0496,2f9c92f9,694780d3,92b60bc0,6e2c7f8e,d1e0d081,a34ea062,591e1854,6f79a9c,60daf218,6513e4e2,621d4852),
+S(5ca0493c,3d516b44,46723477,fe8359d5,6a2e01b7,28afdca1,343de88e,92411590,60bd34f8,7d4bc12d,4179da44,3595b48c,17f34f19,b03750a4,6904a242,93af0e93),
+S(de3486eb,22faa1c9,ccf774f0,e17da3ef,3ab5f7a5,ed6ba58e,bfaa2c1f,cb5c0e58,af8666d7,57c13f3d,3c2e6b02,1dad5ee1,ee4f4c82,97960b5e,84135309,4188936d),
+S(8075138d,59a9cee9,5320cf41,cfad010d,90efff9b,ad50f2d,dd3ac7d9,234b4576,ea48ad8a,6a8ab6d3,5cea84ea,365b6a33,d3d593ca,9d27c5be,2df2907f,8bc5d91c),
+S(5328a0d7,17f0c7d7,9b8838a,abcb0875,77eba66,eeac756a,6a365657,d4d710ab,7f33d5ca,84206a66,a9aba1,2dad6805,9aede27e,2b38d755,53756d14,9b4b5a1),
+S(9fecd234,d25771f0,aee9dfa3,2286697b,faf4d34f,83eb7135,a581b225,791ce0e5,3e364215,d2eec5a3,632f01f9,9699255b,e90303c8,eeb0e8b7,56cc239,20b2dae0),
+S(7084b279,e89d0f23,967a1635,96a1090c,4264504b,c2895b07,fae5f128,93150c02,481d6078,35628b54,783484e4,d4f299cc,fa3e6f5,bad67457,1037797f,b3fb7f96),
+S(bbd3583e,8b7ce417,88cc23e4,eb0c331d,c8970d1b,7b186ee8,9b4cf45,c83686e5,f94d7cd4,392a9589,77ab3956,a91024fb,b77a608e,91147a6b,4be6cafa,69b9193c)},
+{S(a707efc4,89165c75,7edcea3c,ce729b44,91f04142,3fc6ea9a,704f52df,c8a0650,f2e7657c,6c618494,c01c5a90,d06b625b,c9416d63,f7b8f809,dda5076f,74fa2c92),
+S(8282d8a0,cb008916,33654a11,fbfe16e,8d2dae0f,ca06175a,5183ebd,de06ec8f,44128945,d39e1b71,cbc914a6,21c95329,b6ac0b45,1f1921f9,725ff10a,2859af90),
+S(100ee34d,993a06d0,cdcfeab6,3eadde22,7be8aa84,a9458fee,61448911,1bffe20c,c891d347,c63acb,c72a2a8f,c0d8d41c,2c32a9eb,5742ab35,e76b573b,3817b9ae),
+S(9bed0413,465a899f,37770b6d,6e847223,28049001,73efb872,aacf122d,4eb12f1f,745eb015,938e3ce6,d38068f8,90ad253a,b0b1bde2,de636162,c0442b66,6e9e1e61),
+S(2896ee21,34276bc0,131a10aa,5b0c9b39,ab5aca5a,3ceed61,cf2d27a7,5404d264,cc51d26e,ad555071,e57bf3e2,dafd77db,4f58b6ee,b844ea86,5da39b09,ef3ecc6f),
+S(b95886c6,e569d641,b8e32555,bbaa562e,1f07589c,5a8f3810,d4bfeb4f,e58711f1,3fe1536d,551770a4,cd816eb6,46f2b864,77d565ff,3091d916,af8597e2,d8988b6c),
+S(b32e3e0a,3ca6518b,6bdb2a9a,e3471248,5387cc5c,ffa32cca,976be3d7,ebdbf1a1,45d998f2,828248fb,2f97b503,8de02b38,493f5b62,ab8b0d7e,75cb96f3,305680f4),
+S(8a760935,8c3682b2,fe8f5b8e,a9c76c61,f66ae677,48294bed,9d3c64d,702d3c47,77110a33,eb7562e7,95032a0f,5027d162,28131575,323c8f9,8aa0bcd0,9328992e),
+S(ef709552,f80148fa,dc1f7007,174bfd85,81b03db8,189ca3da,96b3e749,b1843ed2,b8e9393e,c3cba6ac,2cdd2d04,6235f7cf,14965616,3722225b,9010727d,94b610eb),
+S(5071af8d,2e37c4d8,11225f8c,543863f2,3d5ddfff,be2576ca,42630f38,1b967483,37248038,487113f2,74ad07fa,7dee36bd,295971d7,3a30cc58,629dfc68,cf65533e),
+S(88c9a5f0,e76871dd,3afc4ef4,5643419,95642dd5,c8b1e386,b71c2471,c591a3a4,a77afc95,71af8ce7,60148b15,1e1fcdbe,c48d3b2e,580b9786,9d80196,2ce6549b),
+S(fe643b36,a0ef4165,e591345b,5963d37,632c8fb8,97114b60,c4ba6f6d,c07f9033,e3c7bc7b,865c1d,4c496f36,9a79e6f7,1f79f6,e6929f26,63615855,e9509ef4),
+S(d35bb10a,a23d2bc4,d2aecca7,51f1cb24,2133fc16,9f008ce3,4a29b93c,7ad21f3c,57265f67,dec367a,7addd6c3,fb23fde,f04f42f9,a291e291,3f2128cf,df041f07),
+S(e3c8d76d,1ff5e0c0,21668bb8,f425487f,b7bd3a3c,eb3df289,5e4806b4,177fedcc,abbca449,95abb588,3e0a6959,6c8108c4,ddf8a50f,6c43e507,59f85556,be49efc4),
+S(b7e31e11,cebd568f,658eadf7,ac57f265,fc94073c,9a779f21,5016e5fd,705f2580,da4dc770,742cc6e7,38d05ecc,6deca283,9c06125f,bb911cb6,16f0fedc,84dc2815),
+S(bc486422,ae3e277a,d24fe096,120decbc,4a735e57,8bdd72a4,b3f9006a,859276d5,ac246a6e,a145a990,51c62762,dcc47fc9,ea9bf93e,7bccffd6,c82228e0,49686165),
+S(79d0a8d,61039dbd,1787b140,9d8109f,3832112a,8e1ae97a,346ba122,c9f66eaf,9bccd3e9,b9b2c673,c465fed7,b774bfd1,833621e6,87727a5f,a8959528,9ee034),
+S(c58bdd36,646e3dd2,ae3ab0d8,8c9b352d,c319d1de,c132493d,11f2942d,1f7592b7,ab923ba0,2cbb4bf4,35212358,66b0a420,41677486,3d67cac7,ec5e891e,b2415f6c),
+S(3865f065,42ea6eb2,a0741658,5afce76f,d87646bc,a086ea6f,5838e9c6,55171a85,8c7b87af,c049de66,8578c89b,e5a49c85,64ab35b7,afa39588,6312d680,837415b4),
+S(10c1b93d,f7ef0d97,4583889,d07b7680,b6ec858d,b45f9a2b,c36a2f68,9d77a4d8,3ac497e9,15b7470a,f9bd9c43,1ef3741e,b61cf7cf,a2e7fd3f,e1886fa9,4211ae45),
+S(1ecd15e7,3905fd66,a86a96fb,16118d4c,a6da82d7,672f2361,fd101a3c,7203c90e,4974d5e5,9b8ce7fe,30671eb1,7bcd4d04,97c57b78,a4202261,28eea45e,b3b8131b),
+S(808fa8cb,40e6440f,ab60ef45,65caadc8,f86618cd,e1c0d900,587dea31,f49a589,511ccd1f,ee3a53f1,bd12f1d1,13098694,34579292,74d13973,b0aa29e6,91d889c3),
+S(e1035b36,290782dc,9e578522,ba51aea0,6621e7fe,8d5cc9ba,af0d131,ee00a6cb,ff12d04f,1d5c1bfd,859178e4,368a3a0a,f73e125d,35049e60,342186c6,ded5a753),
+S(daba0ff7,a9f3cf3a,2f05cae5,b2c6a881,ff9ad5ad,9dc1f853,ebac7384,5a48e230,d4ae471e,2ebfbe0e,dde343a7,83d9fbfb,87c3d179,c72da83b,8524479e,19bc23d8),
+S(106e3bdb,beade62,e8ec777,bc4044ef,c6a04d9a,5a3b5396,44ff98a4,33c94b92,1d461e65,eb1bc8f4,d3aa5773,a5cfef37,2e55dc46,45f8be3d,f53adfee,6e7e7d75),
+S(82424b42,7b95dd6f,5c9bec59,b1ab98b0,c7fdb4dc,fcd1f8d8,574f4b89,6c8d359f,aedc4fba,825c48c7,4c466738,1cddd6d2,75748661,89499c96,297829c6,27945de6),
+S(71213056,13ba1e9b,8b8e6727,74b718bb,2cea1e65,ac944db1,9050f9be,e6c90c84,98c54a0b,8f0a6d3,d7e821b5,907ac930,b79e683a,3ec49a39,f5043d28,acae4144),
+S(6dc2c201,78620ac5,d99cb81,8474e5e,de8ec3ac,2366bb8a,19685ece,bde25a8f,2f1dc21b,abc65601,fc706aec,50b9aecd,954bf039,e3b066a0,54fca082,287b026d),
+S(e7239283,2f6a23ce,252e2493,5726a774,497319c0,9f0fd327,59fb594c,6d9c8257,165dfcdf,2b117b5b,73bc5096,26b47ea7,c8d5b8f0,24beb2db,bc0f993c,d30418c),
+S(5d44ef96,eb90df1f,488375e2,a3e75459,34169a9f,5bdc7477,bb7d1bc5,1b3f4ef3,87da9f1e,3346fbfc,6372637f,da5c1e13,eb561d61,ecc68e03,8167eb82,d2d05bda),
+S(bbd86c11,dce2eb2e,d7424033,aff54543,2f2aed92,5b433436,f93ad8fb,57816732,f415eb1b,e921aa07,6b7b52bc,773c7e9c,f89ef076,95aa86df,92f4b72,38507c8c),
+S(633050b7,3000259c,42bb380d,815b2219,14e78d79,e2a7d979,29ca8ad9,cdc40fdb,efe2db3b,16d1c829,ba0add4a,c07e7ad5,f021ba2c,9e53ff12,c93a9c36,4021779a),
+S(70c4392e,d4a1652b,ff89db4d,6b1eaee8,870e1957,f98f0271,d7fb430a,85c76bcf,4d0917aa,96368ba,45a567f7,c05505d6,a349faf4,b51c06a5,848bb8d2,1fd80f0a),
+S(7abb4651,6baa8c3c,47fe60f3,6ac3f91e,92d6e09c,cb8401a,a2a3095e,107df5c1,d8445036,8eb5e86c,37ba9b12,f812ba0f,f88d166f,fd1ebd98,67632a24,8eb9f388),
+S(65c27141,24444b72,188eb222,650e99cd,13ae852f,e515d452,eb757225,17f63fd5,5bda906b,e1dacf0d,e65e66c3,23ad6dab,15582561,ec4faf17,35de87e4,a53ae7c5),
+S(416ebda3,baf7eba2,877f312c,f86c6517,9f422d8b,8379fe9f,29b5115d,f1ec3364,ac46579d,ee0a19,bc5d3749,142f42db,6e934f90,eae78e80,d96df9e8,f932907e),
+S(3d94add2,7a320b3b,da7f03ed,ae29d1d9,cf022b47,b7a0ea03,6081117e,60cbebf3,8fc54299,9bd420e,96f464c,8c3a56bb,2f1719e1,20eedd6b,37084251,f406206e),
+S(4f0a9e32,76447fe9,2fb48cfc,c962a0b7,b7c391fe,16c41c8b,21a6e563,53d7c218,441e9d39,db107e8d,d8f0a99e,cf791c,2fbb37e3,2ce1d821,9011a8c1,60345bba),
+S(17165596,c15ddb64,83b4d45e,8be57fe1,2a37da06,a47ad7d3,a190e88a,9d58e0f8,ed06f5d3,167dc12a,992dee28,ef331ee,443f6c9b,7e485386,7a2f4daf,c0aaf64a),
+S(62f6ad56,5d8c3ede,f50452cb,4af3866a,9b40b729,ff1b66bb,c566ce9b,b07b37dd,b790cec2,a2fe6264,5913b5f8,4e2f2ab3,bb45537e,e7783908,1d8928a7,484ff315),
+S(c3b43bbc,522390ec,353a2a4e,47e04008,475731d,1fb4c67e,f91eaa49,8553d857,82e45f4c,81adc79d,5a7af4ab,36cd2628,416f1229,994d6e69,d260734e,55d02eba),
+S(3a943612,ee8e0359,4559290a,7d55a549,f8173b03,b04cf28e,8abcedec,38c5a81b,d63e8faf,90666215,5f74a6f7,6509be2b,c5aa2b83,b75b18b6,1c1da05d,f6c55ad3),
+S(5f2291b3,1aee7ded,21c3f1a6,77e53e7b,e101be5d,a4fc29f2,680cdda2,fcd94be,fc0b1162,7dac2084,c5ad479c,671564f2,b2b13e60,f101af4b,5e7959a6,70b1fa0f),
+S(4ca0b91f,9c0cafd5,b9f577b9,f1b84515,70b0521,6a4f0c9d,77c6c106,99c1036f,b254845d,cfd558f5,11d5125c,68f1d65e,7e3bb173,bdde887f,d9b48718,b45d9521),
+S(6ef57d2f,6f1eaa88,afba085a,d5882c4,4d823f74,f65d16f5,4bad3bc6,940d9985,52f44465,be358f70,3d0fc3cc,3c3373e5,56be7d9b,6b0486b7,6daa8519,f2ab521),
+S(dcac3acc,a1fe2f5d,e231a6ad,74da4a52,7ebbd474,d3742cc7,8f0ef74,172017fc,e0b7be39,4d422b45,be66848d,b8fb6d9d,25ece5f9,28d2b97f,db0a491e,145d0340),
+S(da9601c,352fae24,9d92bcf0,6403a08f,5b85ba77,a26dd30e,851027d2,f2def143,2bbf855f,996b6358,30481f7e,794c993c,e8e5afa4,6482602c,f12ee666,ca5d24f),
+S(c1f8edb3,fdda602d,ad4a53d6,5e1be6ed,cfbbed8f,12e593f3,470d0485,e4c4a3b9,51003ac7,1cda53be,7be5c073,e530da8a,551d69ac,ee40faba,90cf5c20,824f28e2),
+S(71ee3721,ce03cc75,27c837cd,88018278,f2a6f05e,a70b2b4f,323f9fd8,1f8a8bd6,8a9e0467,a7ccac5a,f5adda8d,7380c84b,80575e31,90335247,41abdb94,c1fec726),
+S(eb5604af,d835b055,ed67f5b1,fbc145c7,d04f8ad5,f056f13d,2166e6a1,c2eb8c98,85ff6263,314129bc,1902d56c,f76395ca,9d70ff24,2bcb8a0a,b612d46a,b6b2ef3),
+S(7cd7eb9f,5edc9246,e33d0734,e2c63c09,f23fce37,cd6c084d,c5d370f1,42f58f21,50485ab7,7ee6dcc6,4d1291fe,b08fd861,f954f35b,1f64a4a6,ad4e30ba,5aeff269),
+S(25674f3d,532dfc3c,10d33f39,215b9656,4ee87199,c86fb142,89ed917c,a557be9d,74d20685,274f832d,8406633c,29611fd5,f288fbff,15f6c9ef,e21b911,f26664f9),
+S(106de86b,33c9c46c,f0846a80,89a6f140,1e614599,91191ea3,58b877f3,9c7c4e1d,7ab4fadf,4b78c6ca,3a11c0a1,4b47738c,2ea53040,73b3f4f6,7cdb7b9b,74ecf74f),
+S(b901102c,4a27cb1d,bc8697d5,156c4efb,8f4a1eb6,7d1af30,28fe2094,5809a195,2fde128,5755900e,3d87ffac,c3fd368e,f84b284b,e30e6122,c518ec69,96b2b56a),
+S(9b4d7f5d,5cc3b009,45bab53f,400e942e,6ee7a1f0,915db960,e3a319bb,2d573da3,81507aea,a3fbb6ea,75f42bd5,bc044ba6,60e89279,a0103ecf,2d99a03e,5fc447db),
+S(806cb351,48bc2e18,c2261d6,22bd1113,ac9037e9,90318085,b9c46082,a19f9b83,187da40f,a8d49de8,5a6d2f66,831b8b33,5f575c39,c7c95eec,a9a30d17,dc03966d),
+S(16633996,fd30bf59,f28de170,7ed7e8c0,95971754,ac04677,9e525b3c,9541be27,27ae75ff,ca485585,c6277177,7f727dd7,bce2cf00,205d9f49,43a74278,b8a361ce),
+S(166f9fa0,b7930124,38912819,d2601bc7,e24b246b,9b19f53a,64f69f24,43c421b0,6289f5d7,ec71e262,822bf209,5855a7be,b2b248b6,2dbe3133,221e1ebb,84a3e7f7),
+S(a656c927,7129451d,6ee2d455,9acb3c8,b15fc7ca,302adf2f,3b250a8a,499e13bd,b812bf3f,fc2d1777,6363227c,6ae339dd,39120131,187bbcad,2cf2f792,877a7993),
+S(8e3275f3,4a20d2df,b236d99d,40a704b7,ff23eb63,2746767b,75e6a9e7,b78245c2,d2f08f58,55d400b,fb3f069,1124915e,547744dd,f0933f5e,c8e8e5a5,28236533),
+S(9c53d1f,93b60aca,5f008d87,852a7425,c043e9e8,b0d337a,23304b51,bf763f10,460cca10,cc2768d6,8d19adb,c970d4ea,55a27d12,f2c0566a,6dd433b5,389e8059),
+S(12fe0ee4,5cf521c0,a36ab1b8,970314bb,f0cfd20c,ac2eee26,bcae5b77,661fa370,6b75c75,103adb98,dae0fdac,e2b8e40,aa3eddf1,bff77d7,703ee2bc,c6eb0d4f),
+S(2e317981,e91c4238,b5760ecb,90e4ddca,ddb18a97,2015eedd,30794744,dd859a40,33d11a2f,8c17c132,972a8a6c,3529a98c,50694b74,fc501db4,382f7423,772eaf76),
+S(492b627c,d368c638,b9c13232,79bc34c8,f765b14,c54ce0bd,6ce655b7,20370a84,1650f188,b118104,9a18c474,a4e3fdfc,bd68f2fe,747c7cc5,fc45982a,e2533aca),
+S(9c95a6c2,6684b3b4,e31d87f4,53918faa,a0d45e7b,45bf74e3,542038d3,a80a73fe,7992441d,5497a94a,14e2d0ca,acad069b,2b802584,ccc975b9,f895b8e6,58d8c580),
+S(20a55d91,38623cbd,445b576,264b4129,8614bbfa,f1da06c6,c41d26b7,8639098b,a214ac95,fd6a325d,b26f0d1a,768d0168,c035568b,76758a38,a6f8feea,c8405b12),
+S(813c3b1e,32812e27,27677a03,1bb3d63f,7562d127,8b62ab37,abbeebbb,51a9ddd9,13738be2,f0f657c,e6776e38,d40196ed,2dc669e2,1c281765,286830c1,4587ca2e),
+S(bf197179,9e604d69,79b752f4,28e07c65,2b3727d6,837e140e,f812035c,4be106d3,8cfee411,1fd9a907,5bce32d5,54ebe54,892825fa,22b46af8,633a5ba6,d957cac5),
+S(26f0847a,8e057fd9,9a625d21,df2e034d,960d610f,39b50c5b,a7398ea2,10a082db,ccd4008f,f47d05b4,47c98456,7fdbf173,fe3ca96e,596ca4d2,6dae40f9,f40d4fd),
+S(716b7bfb,781d71d0,93182b2a,d72540e3,8c83a6dd,e6bd94ee,f2ae8995,1db45620,69497305,986fee26,2e2aec0,57e02e1,d396509b,7c3cea00,77d0c21,5101ee46),
+S(6f6730d1,5f7377b9,6cdd97cd,91a4fc40,92539279,124bc3cf,c62bdfac,897e796,3c193854,3c7e5dd3,57ce219c,fb20d8a2,c87ec1e2,45381004,ebff0add,646fb0bb),
+S(65f8ae3e,1365b723,fabed346,b3953fd1,463b1974,44972c2a,df37fa00,ab3337e,5acf164d,a3730a6c,125f9e2a,5416e7f2,a233ec0a,2c87f24a,a0cfbcfe,63f222c2),
+S(b15b96c3,8bcb453c,756aafba,5726cac3,ee4b455b,ae346a79,87e42815,5758de8d,c7274128,ba2f8816,18540ee2,e9dc7de3,587b6a,ff76cccf,74dbe598,42cd691b),
+S(804c9c6e,10622728,19159f49,eb579ec2,2e59cc8e,6504ba29,cf725469,3a3e60df,8f765c4f,f9a27d7a,415c918f,e501713e,20b67dcb,aeea39a2,c873a4d1,3c8d4dd5),
+S(9754b3d6,438231f2,326ff09,da4554c,15888498,f2129ea2,931c3dea,341f33da,97c5eadf,adf25ec2,b3ee40b,3526a522,104a8d02,1028a5c5,57366571,e83ce032),
+S(17721368,b5c35e0a,2a8ca72,f83c02eb,d1c006f3,5a3dfbe7,3adb134d,aebc69ef,b9ff7e6f,803294d3,71c72dcc,73e257b7,f2762f8f,ebc30af3,e0fa3a26,3732096b),
+S(aa271646,f30cc43f,ab736d0b,2526a8fc,20318e53,785070de,35197dd1,bdbaa749,e6e4f4a8,d88785e4,de06845,714c5c31,d9c55e8b,dddc6a2e,4519555,15013462),
+S(9a496db3,832fed07,8ef217ff,31ba0831,21376977,426e649,79609b23,9e5f96fb,6e37e2a2,3aabccab,452c0cdb,ed0a38ac,10e707bd,5858e9ca,610d74d7,5a4036f3),
+S(c3c856b7,ed01305f,a067bf40,c78f1f4d,49af3ac2,963eebc8,94c5ce1b,13482630,956a1d62,fde75fd2,f9f0754f,f8f8041b,d8ba58d,6da21e47,39150268,5b1380d5),
+S(94776b33,9b5f04b7,f3c6211c,cb925dd5,8945c761,b74df28a,79c58460,b49b9f52,97dc32ee,c164d32f,2e896312,ec07cd5a,dc51e89a,646a04ee,16bd0268,bebd08de),
+S(2aa84c41,ac10c480,38c4b277,18145f87,15f992bf,ae4f8d82,1114b83b,c2fcd505,c9e4571e,be171081,cdea3858,c84999dc,e21cf638,6c03308,e9e5a36d,67e05aee),
+S(5619b104,c7f5ff8e,7f3c9744,4457789,5e4fe608,b44147de,902226d2,14a614ac,73b45ac2,d6c678a8,636d68af,f00c1222,354958f9,e41b88c5,53480ecb,57a7bba5),
+S(6ca32160,74987f30,c4542eae,f66abf56,2ae32531,7d70ba81,9bcf4a6c,56d29223,d81408c1,4e899b9f,62fb4648,77f5217f,9b32f028,f50be839,a1fda23e,3d6ddcad),
+S(2b0de06c,802d4478,de84b508,f9c73a7b,8f6d4773,452e4599,dfc4f8d8,428ab718,805bb316,34a05f0b,919e998d,d3cc22e5,8fc684b5,371e6167,7f1e01d7,c162915f),
+S(e4d4d1d4,bc074de4,884c510d,261096e4,ddb6206f,acd67c86,97f8846f,3ad11e41,aae414a1,40cd804,900653e3,1d92b947,efa2a206,f90a322b,8f8e4dd0,66667c61),
+S(68c0473b,d83936ba,39f896e,ee7f6e7b,bece7d4f,77f3dc1a,32ddeadf,198df39,988095d8,e45a8ff5,ddd149fc,b8835bde,aa95a392,5ac1e282,5ef7c2b3,7b8bf708),
+S(91f022c5,40ae514f,bbcb1400,67bcdcc8,d0846305,9676cfce,e5039e24,d4b52151,c57a96b1,f77156ec,88ced4f4,4401e955,10a00ad8,bfd828e6,4d9c3b52,b97325f3),
+S(8e140056,3ab8bcf,a634adfc,bc9dd508,b49348d0,61d0c0c0,2b63e6f7,c56f08ea,754cf682,54a57e08,bf607155,cfa5ba1c,7cd56a1d,3edb7e82,8b9bd54d,f5f23d0a),
+S(41f4e6a8,691d2e66,8efc8ad,aff3fa85,5d55f8a0,127990a6,27c33af,a2442d81,ffff7626,6d75962e,e49c042c,16086e89,13dae3c4,f75a78c3,77ce1856,ca49e3f9),
+S(7d76b7eb,82d0e161,b1a97b9e,e39defe5,11d7c6dc,6fae0255,318d7bfe,5bdd197,86bad87a,21b0bff6,780eaaa3,6a30b7db,bafb4740,369841dd,da734af4,2815b2e7),
+S(3a8d019c,ca085837,288e6cf2,18494433,f55c6e5c,f58513b3,6ac698c2,8d5e8c52,292ebbaf,921daf15,c7c93d5a,4fdcd646,2238f650,4cc930bb,b9327d6b,9ef4499b),
+S(b8daa085,7c7c7ff0,7ee79541,55dcbfbc,749c927b,fdc74422,a281f3b9,c4e538ef,41061f31,f0c411d4,8a206fb8,bc842900,1c82c3b9,79fe3cf9,397000de,6cd89f03),
+S(315b3e39,74d7644d,75a453cd,c2de9a90,423512c7,18379b38,cccde80e,c95e9da9,e8e82e5,17289192,fc9c9fa4,de1cdbea,477cc013,25060dd,2a766bdc,5381f282),
+S(cadff522,8a3a947b,8e122ffa,234baaa,e7c23f13,59f18c63,49b1cdec,232c9048,bdba6e3e,15e09ef8,2f06fdef,64b20c6,f6656505,e3f06551,9bb9e54a,a671bece),
+S(ffb3ce58,e72c3c41,a0dc7203,27e4b557,c524e4c8,d724f7df,7742cc52,eb74ba38,2fb99e81,f1927389,bcc94dec,e0ead426,e8631a22,a25140f0,cdb88ecd,34ccb2e4),
+S(56e4455c,369dcd00,d8987d5a,46578fd0,44b9532b,2e86641b,b5260502,5ac0b9b9,d54ebdca,e2f22f40,76af78e4,448b6c6f,8d06899a,bbf5ab52,a616ef2e,dfeee9c4),
+S(7740cd7b,fb64a276,30948a74,c510e0de,2c63692c,e1c9ff2f,86349bed,bc856421,c866667f,b04e9b04,638057df,8786d549,bb7980ff,bbb87799,37f9f345,ad013106),
+S(ab9df6e9,81b1462d,23595e7a,6749a2ba,4fd1c579,b73435dc,de879f02,c85381b4,8258aad6,e81b1e62,b16aa87d,cd0db00f,53d46ae3,ff92a866,f50ddbe0,b919b9df),
+S(f5eca856,ff675ad9,aded3baa,83465964,714a277a,58d5dec0,f08e85ac,5ad16ae4,9b8e6768,f6dfcbf0,b6789239,5a2cd72,562cb14f,4224c3b5,61c1993,f49326dd),
+S(9732548d,85f535c1,41792440,bd369270,827d888e,e8f8ca29,27f5cef4,b29395e9,564e057b,e5fbf2db,cc698d28,34749b9a,6992b2a4,604ef4d9,5a42bf50,282aed8f),
+S(8bfc3830,eecc3177,b6559a01,7391f883,493e045e,b6e5a173,643bd4f1,b4c42de3,7820a218,61c9ce19,5d9ae658,aaa74aad,12bd7db2,4c5e2aa3,1ff6cab9,79fb751d),
+S(6ea9bded,744eed27,4aa346a7,3542bf8b,4e93e14e,5e57965,8a5d6a24,beeab56a,a4fef266,b9743c35,935cfec3,2495d6c0,c36f6ddc,b249c256,d17d5646,55278afa),
+S(ff15c8b2,ce43a5a0,27817821,e556d021,356ce795,bba2c632,17d6205e,deee9116,87cf8fe9,3618a6ee,63608a4a,99bb27c3,8905b955,2df4bbeb,4b21b9c9,f3884cc7),
+S(eb61006f,b575ee16,865ce8f,5809ecd4,28187875,91d924b1,5cc15e9d,a8ebe9d,8e51dfa3,c7494b58,f4447e3f,90eaa595,106fe0bf,d31eda0b,961f758d,3e01e0a5),
+S(14d141e2,5ddb4621,7d99580c,918d45ca,51a9a51a,2d7917d,a39624fd,dbe87a6b,ea964fec,b49ac43e,45de4592,6ce9bc7b,f693f945,f6447649,bbccf4ef,3e011ca7),
+S(36241c8a,b9b7a9ad,217c0a81,fb33281c,7b48afa9,ba1d2897,389f02aa,19cd964f,a38a1e69,2747117e,71654fdb,fc427acb,39531231,4594d08e,5a32336a,431f3b92),
+S(8cd8dee1,5059932c,3c94501b,e15565c8,7e04d705,908c4c6,a2311085,5e5b261d,e949fc1f,7fe429aa,cf0c4b01,1d88e9f1,f5705ec4,2953a49,2c4f31d7,15c04380),
+S(232136c1,5e76435e,333ed3ee,ceeab24f,f101cbb1,75bdb37e,5b8dea17,fe5b34df,bfc5f9cb,66063be2,7c090421,e5cb603f,f7a5c860,f9c460f4,220c10b,512c792f),
+S(178316ff,4abed117,effb70ec,531f4b73,26124ac0,adbd66d9,e5a5eee6,7572e1be,5d88cdf5,90a3af33,ff5def9,1b5c8bb9,be36d3a7,a331a6f6,b4533685,ef2dc1de),
+S(9341dcf0,d1b0c5d4,40004663,c56e57e2,a792cf05,a51f000f,1d192cde,6e81320b,54215ad3,3824b655,72204f8f,a9603007,8280621b,8162cbe0,153ff094,31becede),
+S(e5399547,ea95b6fd,d1aab09d,b73e616e,593ac82c,6c4b030a,56b775e4,abdfcb04,c69e3608,b7202138,7b1f2a32,d445c809,1fe67869,7feca054,d94aec0c,14fee6d1),
+S(da3a4d99,ae069bf9,9d65e041,69db4dc5,d9ab7482,3ac1c1d3,85d37290,807dc652,f4096d3b,ad811fcc,48faaec8,84633cd7,a7f5552f,4c7d695a,7224b0,ab05353e),
+S(a5b6bb89,4594a91a,679f8d0,252fe38e,d0f8a544,8d05108,eced1e4d,133b79ce,d6cdb4cb,813a4fe3,7ebe9b33,471f619f,9d45c295,6b304491,4162417b,d0b206dc),
+S(12d9cc50,8d90dc59,dc92d250,3a88424,e720c0b5,56912ba,57b8f00e,c9a4a63d,56992d51,780762a1,312f2bf5,51b657f0,5bf34f58,19d23288,2093e478,b074c818),
+S(d5bf7f47,77538811,4921894e,2985b8c3,8cddb376,c9245c5f,6f1308ae,3f228620,693c17d8,40a58ab9,50b4b374,18caa8de,e0a49ce6,b471bade,43387523,30fbfc64),
+S(83f06119,88ca1f4e,75490777,e864415b,abad972d,d5f4ad1b,1a295b4,205c1a99,e893d1d9,2416da8e,5fef7f76,389c59c3,94725241,4534cc86,d8518b3c,6cbb3d07),
+S(fe6995d3,78e80a54,f3b1e8a7,3837904c,2d26430e,c81e5b0,11304e56,50f95f41,26a96933,8ad90a9f,4a15db70,28df1628,2214f822,6bd38a87,854dcc2,f4d490ce),
+S(12af3d09,265b9f8c,fd5a74fb,62358ad6,a2cbf782,25b73a88,c5e56d29,508175ad,e28281a4,36b0476b,37588e2f,7fcbc4cc,bd88d96a,3806022b,75a4b5c0,8569cd6c),
+S(1bebbb1d,3141cb9e,3723fde4,c0f939c3,7e37b67f,346fecf8,9ee9c789,7f25d89e,4f2835f0,4b875fa9,bccdb338,32ee53e,80360b6f,30e139ae,227961ef,426e0c06),
+S(ddd3bfb3,173aa6d8,7d867d95,aeb66535,173c9a6a,4f34cc67,cebfaf7d,1ce4ed4,d7cf7542,c6e93a03,e3b37402,2c2877a3,65387e99,c9956071,beeab06b,69ef4d51),
+S(81ddbe22,10125e0,32b5826e,651548cd,ba44a5aa,e131c0a7,2b1f48e3,7fdea8c0,80f9dd6,957aa45f,6ff32756,f87bb9d0,fb145b86,ba0b6890,5d15814a,f42b8ae4),
+S(f4f5f53b,fa60b009,9317ea49,5dec1044,54352b89,5da6df0f,707d80f9,7d698da5,454cacb8,999acdb,5cc3e5d2,efac913b,4b967755,3ab998c6,8531b2e2,5ade652a),
+S(b232f345,16c572e,f7d89d46,679a0458,2bdc84a2,39f35292,855ae063,fee9a1fd,8e480fcb,d3361e54,a128da49,6a2285ee,829ab82b,7a1530ad,e0f7ed1f,87ace8a9),
+S(9f5a306c,c0e7f392,523ed44d,c2a74f62,cd8912fd,292feae4,493a9a90,53e43be6,d4a1e25e,46cbe19e,88b342a5,a278feb,9b9a0523,4636962f,b9697931,c47a848b),
+S(4d5005c5,4b079a57,3ce42e6e,87cbec94,cdd520fb,16ff9d49,e715096a,a5ab8301,afadec78,c911fd4c,1248210c,622f17f5,7a34a6f0,1fe07abf,89ad8242,a0340732),
+S(6b5d7335,6b80d4b9,9ffd3d6f,5b8376d4,6526753a,2367f046,5ed19550,4e732cb0,c0d10b3c,d9eaccf5,1eea0088,fde2ba55,17f85214,2b46fa6a,99b35a5b,811f5435),
+S(896c9047,90f3a428,20715852,9b710560,bd18e038,a8dfb710,fa2bc910,ce25ca9,71ab7cc9,ddf7fe7,ea77e985,d438e0fd,34270829,1c57745e,decbb0f9,b161c4f4),
+S(2812d428,7e3c5961,808326d6,8e79c93e,259c3f31,e02449ac,e2b72484,8ef7539e,eec93ec8,b2cd2b18,9ccf8d1,ec8d490a,4ea565e6,ab58eb78,3aca8f5c,b92df37f),
+S(d7de63b7,421827c1,ee84acdf,c82a7e72,1eb42aef,7d91fc66,f725e8f9,dc42554a,d6dde944,ec65a85,ac0386a1,eebdc69c,b8793ee9,417e4e1e,8db8087e,bf1b6f22),
+S(8dbcc742,a5856bc3,e29b009e,46985a7,67800404,82b06681,3c63a27a,667ca60c,f414fcf8,50b82712,cfcb7d3e,d92bdad2,958f75a2,9f5e69c0,67b3cadc,10da9293),
+S(8f046e5f,7ec21b77,3df1015a,19a7aadd,bf5ad912,b5020ff9,b574fc9,7d442f4a,4fd50026,6f8a63cb,d603e3d6,f3f81aab,52e79e94,cb0f7159,fffbdcdf,9dba202d),
+S(fc7c51d3,7e6dc2a1,bc542bdf,dab38775,54bb6787,dbe5ffab,471d79c4,8d2a0a58,a7297795,f7f9a558,abc67243,900005c5,2c619c52,bae08a62,5de66bea,81acc475),
+S(e36ba16d,81996e80,36b3edcf,67136ecf,7b5dc68d,526a34b2,45843fa4,6a078f0b,25b39a4b,1b5d6240,30fa90c3,558a1eb5,df7c44cb,698f9d76,40432983,faa3b003),
+S(c1c817a8,43140681,ff908319,a24684c8,dbbd179f,ac49cf4f,428688bd,3eaebc23,18e43b3b,ced5d5e9,530c05d4,6156fb9,fbfd60e4,58048825,c2d0dc78,e9575594),
+S(787e110b,665a8db7,40c2ae0c,206ddfde,4491768,9aba8ca3,de737283,52b70d8a,7e22a27d,976262df,22c60307,ad61f435,b4b27dfd,85657f25,72899d2c,5fd005d9),
+S(e1106094,464cd775,85b9eb8,cfe44b13,14b4e87b,54a609a9,c43dff38,995f5e27,8dff0b9c,d97f2779,fee262cf,629ab48c,483e8c09,c05657fc,6b0c83fc,3c64006e),
+S(16f72b7d,9b9f8490,2989e9c1,8d067f31,b5e6773f,fc03b2b1,bf026b3c,a45ac92f,6260cc27,6f616934,9492c169,a9f97bfa,b3ad1e16,2b6a529a,7b637ed0,828f6a16),
+S(1566a7af,1c3cd035,29859976,8dcd24fe,3dfd07a3,c688d048,c45f9170,b790c791,23319b6e,b9f84cae,f9c6ad8b,1c0a9c2a,6574b84c,4abef9ec,29754a1e,b3a67e2e),
+S(bac2ba4d,96be7dfb,425e1279,8323068f,2a42d0c,564e3466,92a89730,7b90b66b,29291264,4e71cddc,7e78d20a,dc026e90,637eeaa7,36fb11e7,25d2e9c2,17b3c8e2),
+S(b26a1e6e,1099aaee,14f3ef63,28ed7ae2,d195e04b,1d55e394,d0e11fb3,56807252,2f3566f,f7aca2a6,7e3e8e6c,294120df,86a92193,c2a0a79f,fe22c549,3385334f),
+S(9a7a18ba,1cadb917,b68dc78d,119954c2,1b5778f5,a1445238,8cf7f481,7f49cf0b,14e484d,d3fe5242,1737094f,53861ee1,27a1aaf,2da7392b,f03127b0,d0d86a41),
+S(49b26479,6efdf6b7,76f70672,d40644a3,e390ed50,1baaa862,1340a08c,649f907c,ca54a985,c3ff23a8,bcd6baf0,ab223fde,65b358d7,cc237b2c,3360cc53,fb7e62cb),
+S(a27af3f9,728319d4,248af74a,a3e2d249,947ca87f,3e2d3293,9f574e9a,6da03f9b,226685a,8ad2073c,e8e32133,b2fca804,918d1247,ec1e3053,328e59db,70ea26d2),
+S(de13bd9d,3544853f,10768f3e,8cadd376,f36726ca,5b27280b,de12a8a0,1d38f876,6fb4310d,96739a32,3b48e9f6,f215a0c2,f270d272,519e0085,ee72f325,73adb0d0),
+S(6680238c,5ca916ed,5169ace,3c2e7103,3a3a26a1,89cb2cc,4420d23e,b9a98e5d,171affa,b6f370b8,c06f85a,928916c0,f6b45c1c,5ca2349f,4469aa25,c8f9b6e7),
+S(c1787989,1e100300,1facb000,c41efa43,710267e3,554e0f65,f954a1f6,191388d4,68698007,38cf474b,e577d109,576c6984,cc39da19,371dac87,ae462d2f,2129abe5),
+S(f0010a2f,63b6d832,256fe7ac,7b885d1,abf60db2,982b8cdc,31a8595f,23f9328e,cb3a3e15,ec21bba7,72a720cd,3f9bb93a,b0796aa8,c5ee119a,f862d5a4,e547238c),
+S(2919f01f,f25e9171,1db684fd,a25c8a89,caf84f01,9caaa483,704e736b,92219e2a,f374dc4,8115ed9c,97efbf21,936cb5eb,814f40ee,40c8f97c,af29f3ea,d46c0603),
+S(b110c17b,786e9b64,396003dc,3e0c9bd8,8cc4d060,e7e442a9,8bb3a1ec,2edd6663,6eeace13,a43c6cf7,33bcb313,e5cd7781,54c61fce,e4864924,f20bf45e,5cfc16ac),
+S(1a41b8c2,f0bee447,3a085941,4479767d,b2c026c3,6ce0283b,337fa021,87e98435,88a46621,939d903e,9bb60506,3684ecea,7b2fba43,4f5f437c,f94c42e8,b4c274ac),
+S(764fec0a,7ef7ccc1,ee478e82,dc122574,6bb18158,cac61402,fdcdae83,8177407a,b0090a4e,fb7da4aa,a54c24fc,75948587,3e1fc957,a475167d,5bfd85,7dc16f7d),
+S(e9a521e,49b18a0e,1b226b11,d0397f47,8cb04d92,c8eb4cf4,4e70a0d8,c27a2f8f,b0fbbc19,7e70e9d5,765d85a4,1acfd3d7,84f06554,4008a89b,440f78ac,63a7adc5),
+S(da01400,c935873c,1bd0a05d,2eac5595,c6e18682,2db4112b,b0a7af7c,f0b291f1,3fe8c281,26fac7fc,b629a6d8,9ac945a7,566f3414,d46f5e3d,3995ec40,e6aad876),
+S(ab69b97d,a15898e2,d77440fc,35c31a4f,7f4930be,6a132e6e,66a529b9,b60b2796,7c80faef,ce1cb7d2,77900d17,e5887c0,c80dc0ad,b9c33fe0,5decf40c,f0c77e3d),
+S(8001a2a7,3938254f,fc3a518b,2e9dc61a,bc7dcd1d,90e55812,72410380,2a91c2f,985191d5,787d0cb4,809923ed,b87dfa5d,60c18938,8e4529bd,2353fc42,9a061060),
+S(5a93eede,e37ca03,194ddab9,2f9c7cf0,ae230a82,d489a9bc,87ac7180,93165e41,15c6cc54,72f571d0,c78ba2f2,8519115b,16a2256d,17ba055f,5731edfd,822220cc),
+S(f0853089,da262598,d86771be,ebd4b38,c7060e9,ae9474ae,f8ba683f,1b70bb1,6508e3a5,b709d0a6,c6505be7,cfaf6744,3b741d9a,5f9adf06,7eacbae6,23a56819),
+S(182a85e2,3d4af778,e652cedb,1cd6fabc,81bdb345,ec7daac9,f717249a,5d6aa519,a509c2bf,1df249a0,e477d3fd,e924146f,c9e7ff78,9f625174,587164d7,1dcc259c),
+S(dc1f61eb,da442680,5dcc73bc,b6c59288,383301e,50c62a86,a9274a72,8c49ccfe,4d99f11c,be55738c,a2b889db,dee2e3dc,9d3fb44c,8cfef36c,5357396d,97c52cdc),
+S(88d959a3,31bc66c9,c6aac8f7,ecc91ead,83591749,97c60a8b,7b11ddb5,fb8253f8,53eb97a8,b3714975,263bf21a,4ed923d7,39276e3d,b4cddcc9,574bc96a,f4083855),
+S(53fd6fda,a8e04a9f,89fe1adb,90704589,8fe453f8,1c069b0b,5d5a9fb7,d77d612e,a8325053,95360123,422b6419,109fd9af,397ecf9b,71a6d322,b91c9c1e,ec236b4f),
+S(fad9c66,bf453615,ba53a597,8e60eaf1,13e07192,1e820399,6bb850bf,237992ea,8a3a6b9,3a127d70,a36eea2,78668168,34bbb025,902cd3ab,aa499d38,8e24d657),
+S(e4b96c12,223f45d2,d7bdd8e9,7ebe545a,16d23dce,1a090b3a,5ed6c9e,65512a65,57fa0c7b,39a473dd,20571bef,80a7c738,cbaa67d0,cfc7f64c,ba0be2cb,123d49bb),
+S(7750e371,3b25a5eb,923c460b,967d9dd,1f00e791,cc3b52,9d3ea331,fa1010be,eecd47a,496d6a13,98e95c1b,9ca629eb,49687962,5d690434,ca41279d,a65c605f),
+S(93487b6b,25ec86d3,59ef5bd8,e2cd397e,d618c2d6,98d9a6ed,28f3817a,31ae6053,f66a87b9,3dd96064,489537dd,1f9e693e,af0219bc,2b0f752e,4f53b9f4,92715fea),
+S(f58b9a95,4d873bdb,931223d5,4867d818,d8c4a2fc,773a1552,35c6b182,aa8ffde2,752b711f,735bbdce,e772dbaa,89f7a95f,d81545c5,5ed25c2,8bcc40ba,4d82ff20),
+S(335e471e,8756d394,8cf43e2,b32d2f7c,46147d2b,c467f089,58fb7541,89e4913f,c9e5bf5a,37b19ffb,41d39f3b,8f69a8f0,8ba01a52,559d684c,5eec3549,7413f3e),
+S(e6a7d3a6,6ada823a,8b0cbf90,af3f0788,39ebeb9,85017182,74f29f58,1b9f29de,ff850986,71962405,edba654,1857c858,ff948c7e,4bd2c5fc,64afd2a6,c643720),
+S(785e6bf,d3c5ae31,932304d8,27aa74f7,783277ff,fb27df66,e1596a07,705b2de0,1166938d,9604a7f8,2485ab74,af763876,2271ee5c,5a7427d8,2d8569f5,25f0008a),
+S(228644d,5c0be7d4,59dd5aea,e4019421,83ea6770,ea40cbb0,38b3d1b8,f0d4cef2,1c489d4e,a1595fca,693bf7fa,d6672701,a23ee40f,b9278b1c,566d4faa,5d799c00),
+S(a5ddf933,8e477ab7,fccd9344,ad45609f,7be754bc,eefba823,20f1b8e1,3ae9c15c,3e115120,5de4a550,c0f65848,804ac964,168481f2,12b2156b,544152ff,c9f39306),
+S(668b35aa,b4799dfe,dca25a50,6c32ca97,3a5e6c3f,51676f82,e572602c,ec3e8a2e,63f33101,d9be94e,7d8971e1,4deec0b6,3406a621,77d5a044,bf43415e,c35a9234),
+S(fae3a6f3,f9aa47af,a4babed4,7f366c09,da8e7074,fcda3f92,c74c1bec,c73aaf64,cb38f70f,61bfaca7,76fdc581,a468b53c,69d21815,11771cfc,698a9558,209736e2),
+S(2fb68357,285d4ece,96ad8a3a,9c6f0f27,468c9569,3c2e1a9,8864a64c,757c754,b74b474c,133e0a4f,a8ad5032,d08acb1,531640a2,6dc09af5,6af1c862,91c06e87),
+S(9f073149,dcbde92,8ba24d3,c00e54c0,c334b958,f124cf91,467cde94,9ea9848f,21e1474d,c43a9d33,43c120ad,a751e9d6,ae6c9ea0,986fdaf6,fbe6bdcf,23085d6),
+S(bafcdee0,c0ad4fca,3bf95576,403dc2f7,e28884d9,b8d5f77f,4d7049ce,965ccb4a,4578e9c1,67b07364,f70d8cd,d6dda3ed,28b87cfc,b8d5c8de,48034eb9,5ad3da08),
+S(7d909f21,b79fd78b,7b65abed,2da2b831,c7dd1794,cfd32f92,a4fbfc0b,3b666233,c6f2f069,f4f7aaf5,fb263dbb,389ff7ff,86a5f5a8,32c9311e,cfe31af2,38313e5c),
+S(5d4ed232,4e24ae92,2f3a1aec,5a8de0a3,e7eac523,58770697,cb45c7eb,4e6730dd,878a1b35,ce2f6880,5b4786fe,eb49480,c6bed243,8e2cfa3e,4636af5c,649056b0),
+S(8a97e97b,a3767b06,a9bf75f8,b7d62a4a,b22903ef,7d7717bb,7165155a,b375b959,6997ee31,72cc99b2,8f447052,b75b5615,db7a5349,f1445c6b,bf04ecf3,c8ef9f5c),
+S(905aa389,b32cc33d,f9d52e49,39ad4799,8cfd03ad,bd4ed3c1,7810c0e8,8e1e064f,7102cdc0,1d6ea4c2,a426ba6c,1d4565de,c4d0f3b6,458108e4,e0539069,ff2f8a78),
+S(510c5aee,f28f8345,2ff713,eb0dcd89,6d788763,af8cf565,dedd4ad2,c32f60cb,ad1f4e3a,549ba056,c3214148,504cd177,adff0933,bfaa07ef,dfad12fb,74609537),
+S(66ade073,7a0510e2,40f13ac,db8337f7,80adad8a,9bb68b56,7f5d5d6b,da7cb44e,a5ce9959,f57e1e2d,8cdce9c1,33f6e684,2975a933,8bc8112c,3d68ca88,e668d19),
+S(cf51bf95,42cecae3,59ab97d6,1f35ca91,a28bb48d,14ffb958,b4bc95ac,aa5b4e48,7db91cd8,306252b1,aedd7afd,ff94b28f,1e8a39e9,abfe26eb,9189cf0c,37fa5e),
+S(fc409559,404b55f,27503803,9a1a36c4,bd42fa53,ab520417,94623180,57ee0622,79b14cb0,5b5f7e30,bf1ef45,cbeb10ac,a05d0819,fa9205ba,3e9d8952,afc74574),
+S(832bd5f5,fd0d8771,80e65a02,6ee3c1c6,f44735c8,ce69677d,546bc2fe,fc0e44c3,b2430cc3,7d68fcd8,b35ce76e,229592cc,43ca6ba0,4c2a001d,67ccf5a0,2bbee37c),
+S(d66e9431,bdc39c9d,d598c3cb,2ef18d8b,508ea830,3fe5db36,9262c476,66384bf3,b628d1b1,fef2997b,779b5f95,28fcbd,e6ce77ce,c752d83e,cbfcc05e,ab05f670),
+S(1dd1514f,85d214f,4c2480a2,22cf00c1,f1ffe62d,ab452dff,6cc7f61,6c66f74,ec70290f,1eafcd75,d87e84d,cb86c460,1413175c,9f18756d,e92d6517,2f688fb6),
+S(8a6b21c4,44ebfb6e,61023622,52165611,bfcc2531,1d0d59b0,49f25eeb,9894dcbf,95f6a81b,177faaff,25907a4d,61a7c323,4d7ae932,2b9f862f,a11c86a2,5c894699),
+S(48fa5a8e,769fd471,122e6061,d7da307b,2a700a46,bab0656b,7fbaed37,7b997112,e4bf13ba,4456de5,b2c07597,c5b82111,ca05d178,cf0afdc8,9afd5df9,645671e9),
+S(8aa75f18,7362cef5,91c58d4d,d1e196dd,5fdd9c7f,91685fe9,d4bf9025,fafbe0a7,81df12ad,b9c543f2,467c4c04,83c1358a,af08fe87,96b01d2,5e26719d,d8c06590),
+S(fe10a4a2,c81f5155,e8f23469,c3b537e,b2f45237,8addbbbd,8a224a33,2c7cce6f,95abddd6,e81a6b0e,feadf6da,6bc37e93,f96f8826,efac71ce,8b36762b,dba0cca4),
+S(4c29b630,af2a77ff,ed3773d9,a3d66cdf,fb100d67,8a7db0b9,1f37f6b2,249d1a6f,58ee018e,f5055aaf,c39a21cb,a68f4f46,6d6a25ae,e07440fe,2f00dbe9,103b5fd),
+S(3bad5249,20c3ea2e,fc16ec86,4502804b,394f3273,5d42e047,c0cf694c,b4350adc,c553a54f,7462f2be,c8fe478b,cbdc4c2e,f693d8c7,6164f513,7e7a7a12,4c6ccd23),
+S(8c087953,8616060,cf0deb02,1f46d60c,d1bc3b4,a8bbcf6b,39448603,59a2aff8,5f24e4e3,3416655c,cc35b47,633c9231,bf15443f,132c2df2,ed3d1534,52aa732e),
+S(7e080d31,fa764a8b,92e74bf2,c69ee7b4,a7b2c2ec,6495814d,8901908e,443f72bb,f34e979e,c41713e6,b98d122c,a7c0fe5e,89624941,d2d6b44c,c65c4244,3f6a9094),
+S(a5acd6e8,50f9b182,162ce14,3b19874b,b9ef6d4d,7c042eb2,c4dc4e21,eed6baa,85d55adf,7220b662,c5b88d63,2f1e7b40,4aba5158,2b93a22d,b3e9457c,b68ddbd1),
+S(5149e4ea,600a6dc3,de6c91c9,3dd43a5e,a5e64245,1e791841,39f31749,7fc15a0e,7274076a,9b177600,85446c25,ceb68e34,217ac3c,e4c8c232,a673b0f8,496311ab),
+S(e6548b3c,46de74c1,40d9480b,b01aee17,dc6dafa8,5843ff8d,e4a75878,a6ab057e,11704026,373c6c96,30da7f2b,7713a313,e64380ab,4f35d290,dc789f75,29308f6d),
+S(80a85ade,2372d7f9,74bbdad1,c6e88df5,4d671f8,7447884d,ef186155,d223183b,24a1858a,5fb6aede,1a36e16,7d25b3a9,2e2f6639,64d60349,7c13e9b,3c14c7a9),
+S(35ff436b,571336e7,963ca450,fcc41caf,83307da3,65468dce,28014914,7760b8d1,565b63a0,546379b6,585ba675,52fbe796,ed68a9b8,35431a74,e8f4b989,2027d8b7),
+S(12a46621,fd5f9ca8,f8830338,4c150e2c,1df12e06,1dbff329,d3157638,4d67dab1,b1e29c72,e7ccf360,e8863c3,48aae396,2fc989b9,15debc6a,514da0ae,67ff38af),
+S(2e4b50b3,b072a9ad,ab9b2438,bf554f0f,bdc06d62,f601bb05,7640b7c5,36949cd9,16c7ebe9,3dbf67b0,fc716d82,3f6a8fc6,4283d7be,513df237,e3afb062,eae6a10a),
+S(3b893c39,58a4a0ad,49e3d2eb,b53bd3a2,fb9144f9,d46392c0,93a9affb,3d21bd2f,c965097,99ec1519,5877cad7,4ac6ac0,8c55e9d2,df34b4a6,b1758dff,c5faefc5),
+S(195c553b,6de4ff4a,6b9ab252,f28f202b,504ddf2d,af69dda6,1c3d065b,592944d5,9faa60fd,79b63de4,cd3946dd,cd3baf8b,c5795e3d,e4018d7,c1733e27,82ca397d),
+S(e8e5178a,c5b76d6,68cdad1c,be01cdb6,e9859609,84c05666,dc8021b2,12cc15bc,ba4eb10a,342d8742,504a468d,f784af91,b8cd1def,112dc8c3,4bae99ed,d855b0b5),
+S(a5f99556,4e8d722c,a61dfc74,2cbc5ece,6f654cee,7c716335,5cd4f5e0,1decc0b3,bdce6c99,c4479cf,1547f394,8e9bfd07,ae066d7c,6baf7cf4,95ea2037,191e1594),
+S(98065d45,270d94d3,e43b8c46,fc85570a,c72043e1,285d673c,ca1c668e,6373e4bc,a45d5f7d,3e6a51da,8e95333c,2333e7cc,aa938335,7bf7933f,b8004682,599db967),
+S(bad7e989,8b6a97bb,98e66b9b,a2e533d4,7d33f0c4,d71c280d,efff5570,660282d7,3d3379d0,b9ad6d70,51002395,bd01c3d7,165e1f2,d61a5ce6,12dfb89b,8e4bfa45),
+S(c914752d,4c1bc92f,f9fef612,77bd1633,840f9f74,2bf88bd0,d2fa2698,bfbb6377,ff8a4aa4,b0a3156c,7224f499,bc6147cd,d147aa5a,69c1c225,ce19c663,da7864ee),
+S(d58c1fb2,7235da86,8284ab85,1a6ca2e6,dfcb26c6,1c544060,a0bf9083,1471aa50,8e4c5ae8,28e2ed6d,1fa1bd69,9d3a01d0,377e4fb4,bc692ab9,f2e3ede9,13bebbf4),
+S(25e409e4,8a8f05e2,e0cf11d0,5a389206,18377447,cd0294f0,4a92eb02,1cbcb500,e7702eef,d40c5cac,4bc2f99e,93f0bfda,509f2409,24307664,c99fda52,a18286da),
+S(22d1fef6,4140e996,9451dfbc,32f0891,7f600102,3f9cc11f,88ece53d,49321ad1,5a6c11c7,401c99a5,bed96396,9af7ca1c,bb612d1a,e1067cc9,ca4a1785,408bd79e),
+S(ce176236,a9f48b50,7515532,ef8e172a,f017c5ad,87ca2f01,1c8b4ea0,64d44b89,a0266107,fd7d38da,53536d75,6e7b63dd,372566ce,643a4b1d,881e31e3,8a699508),
+S(3080fc65,9c01951c,f643e315,f7d48339,e8134e09,5c5c0e21,f7b9ea35,1d859dfb,6355c53d,d8147cd9,b31be789,7bf2f65c,e3be9535,324f41c2,850b9cc5,ba607472),
+S(e4798722,a4b284bd,ee6696c4,3c67aa50,11cb3616,7dd7b21a,ebe50ed2,e7d1a253,3d524d92,5dda9fcc,4422ff7,981136c4,4f373ea3,a41cfb7e,e1f068a2,466f6ffb),
+S(c82b6536,1e8d8282,9350fd86,e17e63bf,75495dd7,51a967f9,51f4b7f3,eaae03a7,91b896e5,d673cea1,e6fa536,22737c68,c701e2a2,db8a4817,3c316006,b0b84a9e),
+S(e911dd65,724fafff,55943a21,df3517dc,cbb3c236,e19aee86,c3f3a5f1,66e3cde4,a51bf72a,cd26179f,839e721c,1de0ab93,cf221a3a,72202b53,d8e552f0,2fbbdf97),
+S(ae759e42,cf0c0935,155eb36a,5f07c251,bd4923e1,31b0477c,fb7ea478,9ca797f2,3c12355f,e7dcb9df,73362daf,d0ac689c,a6a24965,ce65fbf4,e5f9c6fb,271a8a85),
+S(5a443113,c04b35ae,bbc16401,f2abf9f0,b9644cef,6e8222b0,b67fa109,a19aa3ca,6c7bb7a5,7dc10e2f,140601ad,6c1a7f3b,fe122e80,3531848,2a2495df,a7cc5221),
+S(62fbf303,ce5055e4,761d6ba5,4e965e0f,cfc46a4b,e0dd885e,f3803875,e0152b31,14dfdf1f,33941493,d9bb0956,8f8214b3,cfdd18eb,6d6a79f4,c33abeb3,f6aaa86c),
+S(47bad781,2ad847ef,471e3483,480fdb67,b08b5679,74f7619d,9f6b4de3,f3dae3b2,79a7976e,568e5220,8bfdf6a1,95a7d16b,8a4dca64,e53ee7c6,c8123d6c,839829a9),
+S(fa4381f6,e09f9a19,72d7dc12,76fe579e,f8a9ea0e,c5ff06de,390d150a,fd3cd49d,ff76e0b4,b3f8408d,5c4d79ad,8ca85789,30692275,1d5d5d96,9aebf6e5,2971c307),
+S(b891d634,64c7cf77,2b1c19f0,835869a1,50668494,e8889e85,6081ba35,7dfb0d6f,8d716524,65dd0f47,b39bd6b3,7f6efc14,c0108992,4741ccdd,71fa9a98,19e5f05),
+S(eae22d01,98d6f036,5d3ac227,856633a9,d0ff6dc1,b6d5d1e5,a1b2e4dd,c7f11466,723a69f0,b551fa41,221e3a31,8fd2b60a,4baa0741,c6127e67,b542be14,9d255074),
+S(765b7989,56393611,1b182aca,fa7a2a60,ad89f6da,fffaed17,ead51975,242008a1,e630c87a,91235862,444891c,42dff3bd,320a3272,2d43757d,5ee46eb,af5412f0),
+S(ff77d59e,b5ef78d8,49496995,b20b98cc,c847ab95,253b3a6b,9d6119ef,5382ac12,b7791936,e1bcfad,8bd5fb0a,1b547261,ee0bee24,5c1e58b7,3fca8015,195d2b1e),
+S(fcd78964,e8e5fc94,f575fea4,7d61abf2,c89ab915,2683e855,d48c6828,b95eaa6a,9f32180c,683b465f,203d4d9,2f2eacf8,396966e3,2bece1e1,413f2111,f000b000),
+S(38e9c6b1,b2495801,455e5ea0,ddf4bda2,432b84c7,4f9303d4,c9d6e30c,8e87f564,ccd32af0,603f27c7,7cffff6d,9203167,3cdbe4bf,8662e224,498168c0,5e7eff1e),
+S(9de95ac7,9e8ccb95,7b62bdcf,f9942194,4a691b3f,5646d800,68e2e7a0,976d944d,9d99c259,d5fdc8bd,7c29e2ea,651b4abd,354f8ac0,758077df,f46b0896,a25f99c5),
+S(e4d34872,1f8f7fe,d81d810d,8fe26811,87d0eb93,5f8eb6c9,2735a55a,720354d1,1b95fd74,ebbed926,55004026,e2110fa9,5bbebf7,efb6b0b6,d7e883b8,34677cd8),
+S(ff0222bd,d37a7b6e,45b182a6,cc744545,d60fb6ac,8171f625,a29d215f,1af3ed80,102d4fc0,c3434443,6b8ed145,a5a19426,247b5969,3755d3e4,dee475c5,1211c755),
+S(27922e13,f03b2f70,bef94a31,589c1e7,9017c16a,9e57ede4,4af93c38,174dc1c,3f268d7c,3d9aa22a,6277ccea,c36b9377,52b94658,c44d110a,e276e560,d4bc18bf),
+S(9f995f1f,76ae01ba,38b02cdd,a7f99b53,883e035,afb35b20,324fe6a6,bb65db6e,ccfa6f06,daf16088,7f2f8af4,18a5b107,cf1a83a8,12f117e1,7e938e4c,73ce924a),
+S(c1b2bd23,8fa1db5,814a07a1,d6db2ac3,4f960dfc,c88970a2,9dd21c34,3fea87d0,e912dcbe,ff0391ec,7987f901,c6329c2,a070d64b,53131c5,7e99e6a0,27465f96),
+S(789e932e,5665aa8c,24e2f0cc,1039cd89,da928d0a,1b4b03b6,b93fb79b,f40e04dc,25315b3b,bfe535e2,92519e89,b63da55e,f4c16a1b,d8af3394,b280ea62,3d0953a7),
+S(19c54824,5815e2b7,b31d35d6,740e660b,84613096,60ee9bd9,6df823ab,1e7bf39c,9c0516aa,79e00ca6,8330d267,5b104e80,3660fcf9,4d785216,90a319a2,44885987),
+S(2e73f0d4,de4f920c,5a5175bf,32e6b98f,5a49d1c0,a7af2b98,a6c6dd60,52477bf9,12dd835b,fc93af9e,680aa191,bfde6cc6,f307dfc6,aca349f7,c2affe27,40f87795),
+S(5b711fa6,4463434d,d7c824ac,2a56d02e,46949ed1,d8e530b8,71e70a82,38ae224d,14329e12,940d179d,922b97e8,d2a2b7ff,6da66497,6879a790,1edd6035,f47593fe),
+S(a34546f7,aded19cf,4d83329f,41cbd292,bc59f37,f290eb7c,ba28aaf0,a32a423b,9a2631a6,cb6b2989,fd2ba260,5aea7f73,c08f05f7,e025493f,459461b6,5ab24dd2),
+S(850cc29,8dcb42ab,613b2974,57c80ec2,d98ef5d8,562af745,d4ffcfac,7e9c0853,b07a0e85,5cd335c2,728338d2,8a1c32c6,e3a0fb76,58b8bca3,f6bc02f3,de68a2ed),
+S(8de69064,cf3f8d04,bc20a995,7677427,7b712ed1,f77fb7f7,9c361dda,2c7e8b30,34f6938d,750874d,573bd5b0,c11d9c93,b6260a9c,6ae833a4,350dd779,c515f16),
+S(69d1e613,852194a2,b618483c,29517029,b3fdc8da,d679c07d,3204261,80f89170,a70f4654,8b7542b6,5da14788,56de6c5c,e06490f6,176794e1,a4dcf25e,4337d570),
+S(f238036b,d55e7b7b,6d0835b5,2c3d5c2d,cdc7e6ae,6295e19c,2a0d6a63,669656c3,b401cdf1,15e8c93d,f5e230c7,a3ab387c,687fa690,d86da5e7,d038319c,468bfbfb),
+S(ccc74591,1178eedc,76c98013,a52911bc,1da8f9ae,10f40277,ae51fbeb,2b6d53c0,d4cc4eab,60cbb4f2,9070717c,d6151c24,2914069a,c3a68d20,7982d758,3ecf0445),
+S(ab2080d1,f6d6ed76,cc713c8b,46474648,c7d1bd31,fa6ca6a4,39d0eb8e,ec4edd4c,8da5323d,e205f2e6,4ddd80be,679dce01,3d1f2813,13fb16f8,e749902c,16362b0a),
+S(96ed8ce7,36e0d3d,607e7b1c,fcf6316d,1bc60122,c1e2cfc5,5b20d379,621c564b,841b64b,af84d76a,45afd86c,28d32f79,115675b2,9a15c9a2,50c328e6,2a79695a),
+S(b41e63b9,e3fff8e2,d89f2a69,b80f1d38,60a8fabc,20290d41,657467eb,9eef61bf,674d416c,82e50cbf,f001a44f,3ea4108a,c7cf8747,3b7cf851,ce9a9d1e,f5b90dd8),
+S(7300ddd,4d22e101,a5ac174c,96f1ede2,e5a8af97,e4d7a5a1,e1f07be1,ec9b72ca,edb4eae6,e9d20683,6abe214,aa95cc75,a4246e14,86b05f23,ccb8c4dd,3bb18888),
+S(5d152ede,6e8055ae,14c8c67c,3eac3dbc,1f080dfc,59d0f1d6,16bab4b0,460d21de,e615d095,b3ecba8c,dcede3b2,bfad0814,781b3afa,2b631928,74020df7,b62e1425),
+S(bb8f9d6b,1f81a373,32a25eda,b4feaaac,9d82086,8297eb80,c1bf6c4,5f5c7cb3,772be893,a029961b,35f7174e,72dd5c44,e8c745a3,423cba1,2071ee89,92c604d9),
+S(643730b4,dd3bf408,2ae96f7a,f3409b8e,690cb09d,f379e3a4,9e8d09b0,de30488d,55a68bcc,54be84a,3d79af27,e2d88740,e9e1eba9,e2149aa6,1cf4d7b1,de6f1e57),
+S(82dec11a,c2c7a667,336c5d38,2224a5b4,12c7db82,5fb9adad,30552bc9,db2dbbce,7f7044e1,49f03a78,ea93c129,6bc63541,8b03e06c,5cf24bcf,7df70669,54e8ca26),
+S(349382d3,95677d5c,f259f280,83c88ec9,47da1351,d26710bb,4a21d54c,cf770331,7e81f343,a9413313,91b9e4bf,e680a41f,bcd13598,bfa2fcf0,a17439f1,e8215e31),
+S(4bf9f078,cacdc26b,5862aeca,d3cbf4a8,3c4321c3,62a562a9,eee4a8bb,5dc66125,6d38018b,4441d376,dd9f4bae,6e22782f,efb1c3b0,2642021c,31495b5c,8ab3fabe),
+S(cf319312,ce28b168,ba4b41b7,8f06e0d7,849e672b,21aff86b,5865d32,4e0aa0f1,d1caf763,6d277e8c,edb4e03b,b676718c,7318e29c,e756a868,6932ea74,cd10a84c),
+S(de892197,d6db602e,13a9f3e8,d36509a,8e79fd15,f25c9cfa,4e610ff3,eafde1d2,e2454f06,569b9b7e,121534cb,31becd31,31856640,16d5d266,a98fedee,f4026ec)},
+{S(6efd8760,aed4f239,bd97a00,63794c4,ef14acc9,f5b94862,4c7f8b51,3ff35278,74acac29,694c5307,aa221b37,f2ea068a,a269fcd3,c6d85aaf,a8c8eac1,17d7f997),
+S(7b466cab,a5820335,bd6c9e51,7f31e735,d3e9276,18c36e6f,861d032c,f2c0efb7,12e04a7a,953d1ecc,c0cb9cab,6e06255,f909bc3,e0b9f2a8,e667150e,1eb879b6),
+S(7d73eede,ef4f9ea,34fe9a3b,9555307c,5a8a0fcc,12bae70a,34e90b07,fd3c36eb,e4f4b5c4,8c1ecd05,e7110725,c7a39a61,9f66203,3b6a6373,fa966017,2f5c611),
+S(a8d37fa1,c07cdf9b,dc6b77b7,cb6c3e5,99930870,6a2307f5,c7cc2e3b,333a6d1e,665e43c,58bec5db,c87595,8acb5fea,89a0a742,641f4df8,f1c8b238,1eee0774),
+S(1f4a4126,eae02858,86df6ce9,3d6bf107,be37564e,66048131,43ff65d1,48ce4ef4,b64de137,1bc84933,95058a4,70a7135c,6202e5d1,c7406759,5269cb98,2e1159c1),
+S(5f963c6d,355346e,9feb82f,90921c68,7df67c3e,6d0db15f,ee46d58b,60bee0fe,12f8f5ef,326e9b9,68ab60cc,1331fee7,11c9369b,e887067c,4dba63b4,707cf1c4),
+S(93cb2373,e9272b3,378d7e29,59d7d935,e6395529,5b2b6482,15afb9b3,9bc5f573,45bdc11,d37edbd,51e816e1,5d27715e,2f50fb19,ed9a0190,573adc61,2f38db2f),
+S(4f231e1f,caf63030,f596cddb,7afe9fbe,2ba93d0,e8b18213,79b349b6,7f8a3ab8,7fbc097a,f61f0c69,9b8b2660,51d332c0,ca8134c3,1c4ac6a8,d1a820f6,a389e9a5),
+S(b3ebee1b,ccd21d5a,e45bad73,85779014,216cd61b,7cac39d7,5af121b6,b7438a5,a0c1a664,379cfa7,2b3a1ba8,6c6ec9a3,a62712be,1df870ee,df945b9e,62727b08),
+S(9713f024,1e06a7c3,7953fafc,1fe7df85,4bef044b,28358dca,bcd82609,1a9adb0c,439c3a8,9f48152c,2a1951bb,4b70da95,3f3875c7,82650643,92717640,73f1a34c),
+S(42ab6939,246a9574,185a1c12,89824dc4,87bfdf4f,bf960517,87a441b,5977d3cd,e5e24a17,416cc7e3,a4fca1f3,7666d42c,a8b19e05,28940a07,2630f668,3babe748),
+S(8080c977,bc2ba584,bc40b6b7,50bec750,cf80e367,a45f64a,6639d15b,5fc696b9,e5e8290e,917024e0,5ecf369c,4e2fa4b0,76b19aac,d41f6424,7353a2b0,846db72b),
+S(300d9c06,89570a8d,5066039,2a8fb68c,b84b6f7d,4629ace8,51e6aefc,5f88632a,ce1009c9,4fdd9778,50f2c2a8,f30732a3,253053ca,635b34b1,801844ea,90137c41),
+S(42ab6bd7,b4a48239,3c17c778,ec1423d0,ed684ad9,41b0eb9b,ecf5090e,51a2aef5,bcd4f24a,9911df81,500c2a76,98d434e2,a5f6ca84,ab4d75c0,7b7f3460,82624b48),
+S(34c3d12e,1dba4daf,aacbd46b,7a2b5506,874c150e,1c5b7f3c,3ecc3db4,b4234c60,647d9374,c25ad658,d5081ea7,ff6eda03,61cd55c5,3c8cc862,85a83bd4,17927108),
+S(ed822bf1,85d879e9,94b40a42,b000b93d,8f3439a8,e1800479,fbc1c3fd,61a045b1,5e25f76b,5f44666,d94eeffd,72278034,e5414f7d,c12b3858,424aeb73,3b84e4a8),
+S(66b6681d,683c7d09,963992b3,b7965df8,e152d1a0,f296a0e5,16160fa5,357c6230,306c1d1,a4e6fd30,2a9d6581,e9b1632a,56eb67b7,af92a8d1,4cbe33f1,c34f1098),
+S(b80b913d,359a179a,1ded7997,f833894e,6a9f6e6e,e2d05bd4,aee84b17,13ec6369,dd03d2fc,83aec2ab,9cb999cd,82a015e,3720cdf5,a9016b35,178ece2c,a51e4ccb),
+S(54d6ad3,34f5eb7d,cab082bb,e188eb7,185f6054,e3335e6e,200f8263,75b930d7,9c1f066f,bd6f050,3099adf7,e9fc7960,86353a6f,4ee8c25e,fda4bd34,81db0e67),
+S(c782fad7,aabecff7,d49e45b4,495fa462,168fbd90,fc14bca2,a216bbf8,daf7f344,e94dcaa8,ac3a9363,cca59110,d42375c,988016a5,b41e64e,770b36f9,87eb23e7),
+S(f8cea4a4,b451df9f,89a4e9a3,8f586d04,5fbb1640,3baa242c,4b12f7a9,97aa7b59,da610c68,9fd0ecb8,4b0fdaba,3c34a25d,70d0883d,3b686a2c,c3c257b9,68800ddb),
+S(79a15047,b34dad08,500e67a0,8ba08225,31bea87a,3fea2b1e,223c2aa0,4d083e92,4e36831f,183cfe2b,5a6145cb,716ebacb,5c29c71e,2c76e51a,154db94b,8877a463),
+S(c8d6d0dc,dd1dfbcf,e4d90d9d,8320f5cc,c9a141ce,7758df3c,a3252045,ea8f4789,f0275762,5102db48,dee39985,e7a91b50,4ca08125,b42de955,f3f6421d,62e29548),
+S(a619ef08,787410d3,aefbea3,c6d53427,20e8359,f483a8d3,2f588d99,ece6b51d,f96dc23,1bfca372,10fc1834,8734e4e,28cfa3e2,fa5bcf82,2576714d,363d46b2),
+S(1ef02ccb,45ef1e3a,bfcbe970,2f839ac2,845f7c4e,d1b2ec5b,46400db,df4665db,8aaf2a3,8dd2e57a,df53071e,4db215e6,a9885803,29c418f1,701dca95,e37f9ea7),
+S(ebf69ecc,320d1188,80c6518,a05f824d,2f8be63c,77401447,fd57e381,76f52f6c,996e43a1,647c018,507a49cd,3867e73c,e0f82630,d36c9ea2,6c38bc57,41aa59a6),
+S(1ec42d6f,eca86040,877404e,370d21f7,9497ad3a,2e527bc7,b6ebcd97,a5407c0a,f8180e23,290c3285,b8eda149,d26780fc,8f3a47a3,284ed732,e57e7c6f,a1629f9e),
+S(f8ac97e9,a3c152f0,c71098d1,816011e4,644bbfa0,3578412b,6f03f5ad,5495cd0c,df74b06,a4ee84e1,a55836dd,6ab1a681,7bf951b9,cf163dc,70ac6cec,e286b13b),
+S(557b9739,5cf5aba5,676ea063,1d404c9,b8abb95b,8672889e,d385bec5,6bbf5165,c7df864b,be165b82,5bc10790,20306b9b,8f3cd384,67edc2fd,bed045b8,fdcd09f2),
+S(b44a67c3,4d85856b,62db523d,b15e1efd,b882855d,c63a7c6c,17decc01,1cbbdd4,d224fac9,dfe6f504,296703de,a7d67da8,6c530641,46823fe1,81d2c994,753d838d),
+S(c9df9666,ea8eaf4a,14c8847,90e0e456,35db94d3,4d5f0680,b1727c8c,a863e398,10917719,32d9592c,fb272952,2c1a1cba,25020f33,95a6ada6,f85c92c1,996906be),
+S(e56736f5,2c77db45,66bb0c10,46c8554f,444b829e,72be61bb,cb376b64,83e28683,2f32beaf,ba8a5aa4,5fc33816,ec2432c,9fe6c76b,172afc7f,8eceb879,f29651c0),
+S(bebffbcd,bf56c1cc,8e42824b,ba8f0b4c,35cd732,d1eb160e,96a8ec55,13082be7,5d84e045,a5d285c6,be65e663,b51da6fa,acd3787,7748c439,73eefa88,88263df9),
+S(c30e6d10,a518ff5b,2537c8a,89d2e447,c0d7518c,529c4dd5,b9575536,2d9f49f9,92da3c0e,f9ac9946,eada43f6,2d811aa8,26da78e9,849b847a,9fd0b0e,5e71d727),
+S(65bf5bd3,ca8f5dfc,9a1799d0,357f24e0,2bcc4b5a,7706a454,3d08a,34512abf,7234a79c,a6c4598b,c2480b8c,5a5a8ca8,f343c41c,514054f7,42611d68,80277041),
+S(680c6de7,ce4b261,3698ef55,185b7678,3d6ae7b,9587bbf,89995034,ce361a03,a22146e,3e025e43,565b5243,89bb57e7,6af1b740,7769be7e,6cd29b1a,1d472765),
+S(83ffcd78,14a1455b,501381f2,523a675e,92a3a688,aef481ed,aeb0fd0a,14c37671,d780b968,b263153e,e1f5657,de678f55,6e43b840,e17e6eba,694ac093,dc9e8e7f),
+S(b8c2376,6ef2d21f,5505b265,a1b27cfa,f0f5a59b,54b31407,1fa9ef5b,2457762b,28249c7c,25068a13,ce473b0e,896ece13,65a23f57,2626fb7,e5ac1e33,7976aedf),
+S(99327a6c,b7606c32,92d98fb8,799f5f64,cfa4b0c5,4fba99ff,aa309287,d034bb1d,aa09fe57,4883ab5f,6b07830c,d5c12121,de3bcf52,68f8dfbb,37ccb8cd,61cfe55d),
+S(3a9f4dba,2fd6493f,bbb21e8b,d36644c3,d4da0699,faf8029d,4ac7654f,380a18d,3c8c87a0,6bf2315,32a5bd1e,e44ad483,b44ada12,63d4750,6a55c567,7121fbe1),
+S(65aff743,11534071,2676c7cb,2e5762ca,297acce8,535534bc,e495e27e,2b6f4353,5b11d44,8b7e2593,b8964f7,317f78b,5eb4d169,d968aa17,91259135,15087ba0),
+S(457e7433,e8a8b719,e6e6b506,cdc1654f,574e5020,4ca22877,f36770ab,bf855eb0,949d5089,389f939,5e762659,53aec631,e369e8b1,38e6168d,b6528405,bf144ffb),
+S(83253254,4261c8bf,b4a32676,3389afcb,9ee3d56f,44c70c08,e9e70bef,fbb092b1,3ebfdef,f0bd720e,611f0c8d,85028d87,8ffbb5d,7c19c3c1,e7a0832a,2ccbc0df),
+S(98ec0257,7a1e4b16,369ffc2c,f17b0ff1,82af8b5e,25ae498b,e7acdfb1,b069e572,e2c72d87,67d16e14,44315c3d,9dd3250f,ee7c5ed,73337d03,ccb8a4d5,743537b),
+S(d4b815e7,1e29d5d9,7e96c122,7ba6fece,60779b1f,574adc23,b53bc206,99c3ccd8,df98ad83,9c4a9133,d78b0d12,a8ce8765,61a3530a,29707357,65ea402f,72db0cfd),
+S(88753aeb,3045bf8f,335a59a,9bd4287e,555a9005,5940a0d5,895b19a4,be237ffa,9740f21f,4abb4d3d,ae4b5f7e,9b5ab141,810ef2f3,9cf2d98d,570dcd1c,4d330ae4),
+S(eae3895d,f081044f,6ea4a9db,73dd1300,b4a53f5,2a5429bc,fd60cb6d,733efd9c,4a9a829a,14149e0d,a629498,a3e03cbd,723d807c,a47a16cc,de5b9c1,a443995e),
+S(752b1e2b,761e8633,7c4ec063,2fe7f626,e7038632,d93ce2d2,ea789825,97ea0d44,edeb1b08,a076b69,9fdbe919,e20dbee1,223c33d5,ffc6fdeb,36a5d1fa,4399b8e7),
+S(9854c41d,104d82d,840fbfaa,d4da5b51,40c1aba7,80bafb5d,24646e10,a23f8a4,c170757f,23eb38de,5412e2ea,3a040c8e,cb10305e,69290c20,32e2719f,e26bd499),
+S(81d720df,c9396536,5d977db1,410d4a5c,fd5078e2,21e368e0,5a8faf83,44097d1c,a29c17b5,518001fd,775afd10,693865e,d84cf3f0,f7bb44db,c5b3bf27,b192be60),
+S(555dbc1b,7809b8d9,9db97d6b,c9c75ecf,4592fbae,3784e2a7,2150bda0,e9c8cbe8,963fb2f2,9277580f,9ae5668b,f31249c2,7429cbe2,5bbbd296,81574ae9,35e8d443),
+S(31dd018d,28c81808,fce67b11,f621358,71be0366,b04d5f69,73b3f11d,df2b37a6,43837cb7,c56c10ad,1fcb57d,91bb293,aa91740,a8c5427,3f10bedb,560ac06c),
+S(8c3e7d99,cd849afe,4c3e8ab8,af410bd4,3ee951ca,10307e05,4f569854,e8752d48,fd4d3081,69dfb22e,ddc706d2,36bb1918,7ab455dc,eb44e362,eea2863a,3f0341ac),
+S(6fe0f368,f918ea70,b130864a,60e6541d,23daac99,49a28e44,597315f6,d85ad4f5,e30fdae,7c6731a5,ddfefba9,ae685a43,21619203,87b66a2c,799d84b2,f2d42c98),
+S(f181faf7,623f82da,aa7730d9,56dfabc1,b4a662ce,c94282fc,dd3852e,8a43b91f,2e148d3d,9c470d9b,ca5be26a,5e191154,441d86f7,d6234085,203e944f,529e7256),
+S(8cf18f22,23085bce,a35c8406,d9322ade,97eae156,4f741e36,2d3f57e9,e86867cb,e5123dc3,c5be133a,f25f90bd,de7101c0,6b2ebe44,cc83b7ee,a267a3a0,6a2c2b4f),
+S(72cf023a,8d20a4fc,3ad5937f,cad6f47b,1030e02d,9ab0cede,58794a3e,f5c9c6dd,a2d02506,35402d63,85d0fc40,af954464,15fa929d,3dd95c,d4159edc,300fee82),
+S(6c87417c,7e9ce90,b67c0ca1,469d91f0,98a9e67e,850ec140,fd489ab6,b4477ec0,7aaec9f9,a443bad9,89dd08f4,8d397d3c,35d970b,6cc9eba,df64513e,57227106),
+S(54ffefda,eeb2a69e,8de97265,e8d7ef5a,576a4f1e,df7ceba1,7f94cb3a,a83a96ca,7d76707e,cf533f08,2c3e63cc,eed8cd18,9bded8ce,835a37cc,549b550b,5e82a3a5),
+S(9dba00a6,d186dc34,a21207af,9aa597e4,432b8fb1,b1fbbd30,6caacbfc,4db25e35,259faa28,e791002f,138468c6,34e0c20,c5555b48,a1b8a35,6d68accb,41d8f7b8),
+S(2728df39,afbc765b,38f47b21,6aca8cad,33b5b2b6,363cbdc3,3ed434ba,5c9201bf,de91b280,6bddbef0,562c02bd,7d7bd16e,7551095d,534a2566,9618539,5e22a4e3),
+S(77a45f41,2353ddf2,d8cf7ac4,afeb1a3f,df6d20df,702e8207,f29286a5,c3558ba4,f1f5003f,510959e,93be5f5d,7d4f9498,70eea705,51b2383c,22215a84,8ff83fbb),
+S(a0da4abe,d0890614,ba574a88,ffba223e,71163293,b4ed6df3,8b5b6e6f,997cab0b,3f542151,36570288,344391b,d3144b50,55545b2a,90e78b9d,20f894e4,2f43bff6),
+S(202b20a3,c8979884,9a275f6f,7fcf6e11,4a21309f,2f340387,f663eea3,e1121028,35001416,97ae4ada,4e7e0b01,e9712385,ad971605,6e6c0cb6,c1cb6bdc,b12c3363),
+S(7288cb0a,fb450439,2ce2867d,3ff3d2af,71344402,a7ec2198,152aaa40,9d85aa32,e39ceae9,6d3fb740,91531079,9770ffda,fe11434b,b5ce8213,deab8b43,c9426006),
+S(de1e33bf,bf324b9f,dd8b305c,1d77e868,61dc6402,b083778e,b488275,1609417,bbcdd28a,13e3db76,e76f836e,93a4e54a,8550a389,5d02a03e,a99e80ff,cae1e3f0),
+S(c88f921c,c2dc7aa,1b48d681,319a259b,33313e5c,c31ed767,737824dd,b99fb563,66ac4897,206652df,fb7224a6,771f32ae,bd75e318,21164444,62419320,d45f5e1b),
+S(adc40ac3,97458429,6277e8c1,3f3b0e15,d8ab082a,e024f8ae,901cec70,36083690,f0497ce0,2c79352c,19bf649,4fdcb631,60c993b6,6d4c81a3,679a8006,b6e31779),
+S(f72b6a10,5599d35e,4f5b107d,a2f9e8de,f1ce7211,7c03c8a2,5695af9d,d4a42926,41306d43,7d83913b,fdd51a1b,3c9cdbca,5d4082b1,756e1f5e,2c2851fd,b50ceed7),
+S(f8bf4a89,b8577191,98efcac4,a695f9d5,d9d7f017,c9c0ad26,ce8301bc,575d8771,ea762173,96b1873,843f07f,826d6d69,e985d38a,119d7923,99b20484,cb20d8d3),
+S(83523352,714c758e,3e7d1627,44e1fbe9,991b0c15,efa1345,fd9cd41e,ae84fcaa,d209aaf9,e7032525,e8f496e7,7b22011d,e20e2c0d,901e835f,2e64fd4f,d6b44e6),
+S(12f7f577,31b61df1,a2f699b0,ae85b95e,92ae1fa9,7caca4a8,7b7cb6ac,4fc19145,2c52d855,505de067,213e3054,8d7416fa,ba042f93,27c21cd5,b47086c4,d01696e),
+S(48254fe5,aae306d,54a14098,c87a0bae,4cbd0540,c8d36ed6,9c19abd8,ba0738fb,6f37a602,ce702d45,549ff185,338b150b,17bc868d,649ba4be,b99ff744,5ea70f3a),
+S(5212fbaf,dc8a9270,fee8ca9b,ce872a3c,b875c3b3,202f92ef,b5327a4b,e466401,73fd045,69ed0d82,4169c191,8ee937c8,87824719,120996ec,11a9fdc0,ce4437a6),
+S(855b8d00,c3f84266,6af52981,284b5845,36a06019,3b722fd1,483b8dd8,2880e0b2,5b494189,5d3c558c,548ee414,47327cc,13ca4e7a,5b8eb7ec,7d5da63c,7f89006),
+S(49faaf81,850bfce2,7752768f,4808c91e,be1a8999,f4673650,52099584,37ce9747,6eb4c92c,a2235629,c90339f6,d7c5f136,a2329eaf,f26d6353,da9d4679,f07f8db0),
+S(57afce1e,5164670a,7b3a8a8c,cbcd7261,a8775833,1f74fee,7b541174,9844bb5c,452fcaa0,1237bfb9,f3d97bed,4eda5fa9,ed72b580,c2b95953,8eb227d5,60252fdf),
+S(9537b024,4e19fbbb,c17e42ec,9ac4c5ce,51fdba4f,51e7bb28,ea53ba77,661a8728,43153797,f2b3c74c,ed3cfee9,c9609683,36f2876f,2332e95a,cbfb6d5e,84dc9f3b),
+S(bc816077,c64469e3,a663409d,5e175b45,ee14adb1,703e2bd3,7692b38a,31d49c6,7f5430fa,11e07543,f781482a,f95b30d,d58cc8e7,e8107b6b,54f314c0,c8e77e64),
+S(dd03731,e07f5b55,3178ae07,7df0930e,de774e47,3e52e028,b7f39a5b,583f1d1b,7cdc1846,fe08633b,f9fa470b,7710d02b,8ee07902,e38290f5,788094a3,61174168),
+S(132ba7c,e36518c9,195ec6e0,cf3aa576,1f0d3b76,d2124fc3,b43fbdf9,bd196170,7b59d248,388297dc,9f72b75,b8aa607d,327cd873,8be5c1ff,e8e035ba,611d599b),
+S(798b3663,8f3758c3,93f93504,9584d055,e52f9cb9,abcab568,477f3265,68f5dd80,f270bd3c,5b236c6f,92bf2937,5ae4761e,1e5418a2,716326a,c62707b8,617c2f1f),
+S(1db26d05,f64a6f1f,4b6911b8,3cdcfac1,bfe57344,7319baa3,8a539fa8,dbae42e0,8185bb2c,8d009b27,c7edb12f,d1760a13,e2e97747,52c3b961,48e7cd0f,2c0ca28a),
+S(53600f43,411155f9,676fd005,ece88e90,ce3f68eb,bf9f418c,b1ccd460,94fb9013,e87314ca,ff3457a1,ef3a12ab,3e8f7a54,b80b7e81,91cf3378,cbeb9a1e,bb02caea),
+S(31445cb8,39f9aa76,4fd46b4e,b39f0fde,18178467,81a4b1df,e9523dd9,9c37a732,58ef4007,d56b3ecc,cf08f220,d5b28cba,d9e6ef50,cf878166,9af25bd1,16239ac9),
+S(3968d2b0,80d50365,b4df89e3,a50ed48c,fb41f5f4,630a1fc8,67a072cf,36775c4e,15da358c,9a674846,3fb6d243,8e8569fe,4d9ea766,713ad5c7,15461485,c876f215),
+S(a040c7fa,1ddc8d42,efb964af,ca365776,99f200e8,d23cf93a,653cbfce,ea24507c,7bb2fb2a,57f4749c,83f696a1,4c974781,8af4ee58,c42c0718,1fdeb867,f54121c3),
+S(2edd58db,873d3d57,42bc774d,97ea6197,152a57ff,b0f747ab,1d26f577,b8cdef89,82ec3302,ed5ea5bf,79e696e1,d67d762f,9573f895,ecf3a891,755dbd61,c11a7702),
+S(b519f379,8949ae1e,1138e3c9,9a9486c2,77f44ee,1f9aa34e,b54a34c2,6f394313,5786b86a,7913b9c8,e38b6bf,2edc278f,2d4807ce,834c30da,ac3f5222,7af4a458),
+S(d3be1b71,d03703e6,194d5ab8,ceaabdff,4a970fab,60caeebc,13ffadc5,3f973757,176caa0b,f46c299e,33e5ff06,294bf813,530cf048,fdd0d98c,dfd3e9a0,a42c33c7),
+S(85a03707,c13f7b49,878abf34,cb77fba0,62d3d1e4,2b00f7eb,6e159c66,48290fbf,487c50b0,c811356c,499ee9fb,5fb78a84,98d70194,62a15417,c0e883f5,6baf6f45),
+S(fddca890,694d87de,a2e0f92d,1e9b9e9c,7420b4da,bb5d2a89,3d282dd0,53d45a15,8a896375,7558132e,d1137feb,fc9c9c0d,4e6a6de6,1e75a8a8,ea79664d,893dcfbc),
+S(d7cb9e4d,13e2b747,6f91a951,2aa93ce,c954a542,c6acd5cf,ad65bdb4,63071664,2880964a,13083d03,8755c9eb,9c2c8f57,b68660d4,a5227ab5,261d6ae7,c9ba708d),
+S(98f619e3,76e7bd91,f5387e58,b57ccc84,90a6fd68,1a569cc2,caa253df,86b6959b,59d49098,67b3c6b9,8ded8edf,a67f5c4d,4ec7e,8dec78e2,68314f8b,f941867a),
+S(35f36793,f5dc6d0c,c8adff91,2db459c5,dd405272,ce45031d,bb118383,d108519a,568f7399,aec63e71,9c63b0d1,480a9afc,662c8920,4bd7ba30,71b0eeee,ddf3ac2d),
+S(c7e043b,b02f15ef,689666b3,8ed29704,a5059027,ae23c3ba,f75a2a90,642934c2,cb5e67d,551e180a,42274149,127c75ff,2be6113,bfe56f46,47008ff2,d6b72578),
+S(cf95cb09,19655249,f16bb911,9488af73,c74ff5e5,e508e322,2a044f2e,1fb87796,d476c517,3df5b269,889ac45f,5b095db4,97c63334,ce233da9,4daebef9,aa2b88b5),
+S(b38ad8a1,640c2aa5,b77db077,8a7ef7b5,b9795e36,20612fc5,e48c3ac,6fcdeae4,5e97b2cb,8dc7839a,d1f80df3,a9a7e203,140898be,6a6301ee,c3aca617,366edf66),
+S(d39404f4,c9e59b56,41fbe43,c0abf3ed,4ce9065f,6d4d0224,b1cb1b33,aa97d3b9,573e8e27,44903ffa,8e1efbdf,56d3975d,23bac9ac,de0f758c,1d018e7d,d049e49b),
+S(9adce43a,9f603359,5424daaf,c0ae565,c468df8,6beb9b49,ff533af4,496fcf32,e2cc9853,af216c00,4d71949b,c55a2c44,38655847,75cb2d00,ed96c5a,6f143f01),
+S(66d1438c,8c9202a7,aef7d11c,682fed36,b88d5978,d7611a06,5d2ec2a1,b5aa8bd2,d1cef3de,eaa43df,617a7fa8,3a22fbcb,f8aae418,5de59e00,1e11b37c,d34cfd05),
+S(442be1e4,c65e3e33,db17ed63,d852e62b,f8ff33d3,589a99c6,8d2fc4b4,dc8bfaec,63ed32e5,6bd86b07,6fc357,cd556c62,22402d35,5272f42b,a982a496,1f7889b1),
+S(9c80efcb,da724a78,f6dc4de1,618b0d39,cf383c6f,d104bdd,2476147e,b6fade3e,102a9767,4ecb12be,71aa53b6,b0f353e5,6a06f1a7,b14cfd31,d48993e,4e766b86),
+S(a2d10bfd,bd01700f,1c105396,bd78c7de,7baf91de,ecabc8,94938ec5,b4d99951,4a7db817,c4ce92c7,eacfc287,91992398,3042412b,ab017689,9c4113ba,6ef4bc3e),
+S(847921be,b36c0615,ae10e9c1,b9791adf,667d1896,3af938e5,365eedd6,f888ee92,c4ee9b79,91ec9eac,9c08ceea,f610ec27,b3a0be64,6684b3b7,8ad1c17d,380d99ba),
+S(60d7dcd6,879f9c5,6a44cc9e,26f5a5cc,6a6500ba,99fbb676,e5992457,e611b840,c4128d09,7ca3a257,113aa74c,29f063ff,52e39bd8,c8a4bd68,4c822cd3,386a652f),
+S(e3a4e2b0,5d227414,38ad53a1,5366c13d,7d377dca,fed5be5e,61387448,1e3cd263,fab9bc4f,12cc2130,5b0afc2c,275cf3c2,c12682e4,1c772776,568f6219,63fe9c5),
+S(af13018c,89c75180,af73b61b,5ccc891e,b42592d0,f2345c39,926a0ea2,402d6e87,eb122961,6a01567a,1d69034f,e8ca133,136694b7,761f4500,25754951,c9e38b42),
+S(a3a7b943,c5304cbe,d736b95,fdfc2283,f54164c3,bc3d186e,7b017d1,dfbf9464,7b779d12,909078fd,9cccc9c6,73afaf1d,bd206420,44f941c0,4a676aeb,e2eefaf8),
+S(ee99d382,c6f590c8,a9e266d9,9500e9ef,cd685630,71052e95,28be0aff,330e5476,541966c1,1cf15028,a6448de5,5837bd73,6aa11b70,bdaebc1a,1e8223ba,7a69d146),
+S(142ba015,699ffb3,e6e02bd6,aaf084e4,3d100421,c5aad92c,f636691d,dcaae138,94fc5a5c,cdb79bb2,1cb733b2,50a0d4b5,cf37cfb4,75ae290b,4c53cac6,43ca7aeb),
+S(75f254ae,9f98f3ea,17d9e574,5820a2df,16ef6027,d85ef056,75790b92,b345a144,63a94cfa,2b289f55,300729ce,77f9a5d3,681b944b,90719028,cd8de938,2290137b),
+S(f6db52b0,1ac4f26e,80ac7f49,fc81cf48,9ebe7df9,d2085d2d,e08cfa7d,3883627,ed4006,f6c6d8c5,2bfc2fb1,8014f69b,7fce7868,7c0217cd,3d813faf,8518152a),
+S(5418d34c,61fa1981,be925614,c56ac5a9,651b90b0,367cc6f0,23f4ad3b,3455798f,ec800abd,42af6eae,3584abc,cfccc4b7,14e98700,539ba36a,925da30c,ef57ebb1),
+S(7ac961ec,59031427,8bbb04e4,4e79634d,a88f7cd5,d26d6ac2,a6605273,7adc5c1f,5ae54a73,cbfecefd,5574b29a,4ec5aa13,1912ef14,491ea386,85ca63c5,ade7e914),
+S(eba2daa1,67aa43b,9d8d1ffc,b0784ad0,8bc563f6,243401c9,79d13396,bd9351f6,ece65820,bbe5bf06,6300f1c2,e16af4a,4d05263f,f4da582e,9e3892d9,9063a1b4),
+S(bc674e6d,62757b5c,f079229,8b624c93,d1765e8a,44ce9abb,84047873,c62cc601,8056031,468638d,251fc37c,751580e8,29dfb130,f34c7f79,31618d3e,8c3b0ac7),
+S(d76792aa,b3dd3405,45cd8374,958ee104,86b08dd8,1e1b99f4,c02b387d,b9cc3c9,63e21256,6b92c21a,378ce4de,cbc28dd5,2b563106,cb5afcb6,95f2aa02,fad96eed),
+S(b0f0830d,80cb007,8c8f84b0,d753b059,6dc0f1a2,456cbaf1,bff5716c,158eee33,7d229908,b8acd65f,62a4c9c2,aaeee8b3,a1355e40,492552ce,1283fc52,d512fa4c),
+S(86ed6a70,2cfbaf34,542ce456,b589a492,c9e19b4d,b18f4a73,3f257e1,2902bb3b,ecb26bfe,700e06c6,598bdca7,d0eb97c9,5992e438,c6d490b4,b2907af5,3850ac79),
+S(fc88d9be,fe183b9f,3d952f51,79d0e2a7,2c56b79d,2a3c4408,948f4887,bf5b6113,c8e6d8a,91329b9c,c197c41d,8f2858c0,eae74ee4,5fe259ed,fd93bba9,fe3cb7e3),
+S(c4e1983d,e86d3856,5381dcdc,e11910d9,2c96700d,a67bf713,3a6bf601,7461d444,39af034a,a1f8caa0,b01e4a32,2a8ae84,8e93e9a6,9c97fc9e,f8e8df08,2b211e3e),
+S(6dd8075b,4456919c,bc97417f,7a94f6a1,bb9c07fb,8ed54986,8deb955d,bdc65eaf,bccb1ebf,57a86b87,2119eea5,17346eaa,bdcb5fdb,b3a71930,7bbcaf27,59781a9e),
+S(a4ef5a0d,1e9a65dc,f4310820,4a2ec8f1,72aa8a8f,71604c8,39b026d8,a3a3983e,a7d682d,c7dfc382,a67678ee,12eae6ab,b6cfdb1d,7646f4ab,6c1d9269,1fbe338b),
+S(9a250997,84509b90,f17c29ad,2bb39ccd,42e3147c,ab53c2a0,a739a65b,de4814cc,fd746694,ae6abc3,6898bf52,e0e6b3b8,a63766e9,d2dbc867,3f9b17c8,9135e4ff),
+S(9e7b2662,58b0b90f,707211db,a9d4610d,4f49d08,c553dd00,f58c242e,2082c095,ac8fd168,bee47d4b,c8b2ffa3,72fa3ae2,657c435d,4d9f4da3,67c8c232,6d4b9820),
+S(65646ccc,5f53bce3,edf35c57,137b7f5d,a49e385b,f101c5c9,b6182035,c45e0e0,6ae3b77e,cd3f9837,99287240,6a70ef79,c3dfb8b6,c3704f3d,9ba248ff,e6344092),
+S(15ce9fd4,a87cdf9b,71e435d,b2148927,7ebf17f9,218d0d57,af3c632e,e227e2b1,47857e6a,2f5a9710,2c082dbd,d0edac51,65d949bb,cb9a325c,4f164958,a2413534),
+S(ff44a162,2a259be3,512f234b,dee87a16,bb9d7739,cb84e527,29d60fb4,4d073fae,5ada42a4,9190f1cc,e16cea1f,392b01ba,89969695,8926f16e,f7aac2f9,a9cce2cf),
+S(a5f68def,8670933d,907d508,185c3ce1,a67c62c5,33c3d65c,3c199d08,33536f99,d859eb34,2bd36baf,7e9f36de,f1dcb7c1,db6f0e19,12e7c9fc,2799afad,d210fac1),
+S(4666bb71,c1e24ae6,d6c0f9d3,5a100fa4,309f30de,cc4c4935,9c937f51,243571b5,aba13ddf,96be4e04,97e758b9,d0532160,cbe62077,78297e4a,30a2ccd3,459c9e36),
+S(131fc338,b0acc38c,b817a182,fd4919af,8bbaa00b,e0d80ce9,b46c50dc,8d7e972d,2761b62a,bada1136,4bc7bc3b,4fe7c0a3,b6d8be3b,d05bb3ed,dba2a071,188812b4),
+S(5232eae0,3b377985,7e57c34b,4f9ee30d,a97714c0,bf33b63b,d520ec60,9bb18557,c243b06,ae8404cb,a01ab038,da6b8708,ec6698ee,f6d0f555,85f5e0,6d8b2330),
+S(e95e4da8,afbb1484,ea1bf378,642ebd59,de13f70c,53f2b470,252eaf5a,c01823bd,dc77ce77,688e13d1,4083c7d1,d91fefc6,bfabde0b,bde46657,d3080d15,51cde44e),
+S(9f3a7cc6,759db98b,f6b45257,8aa1a8ef,a2601d64,64028025,ddeec5a,c6fa8b6e,e5db2c3e,d23f72c,47d9d5bf,8bdfbe98,b9a1e97b,57d8a9f9,60f10fe9,8056a4c7),
+S(96981f2,a1e0c0b2,1eab0a4f,fa56283a,5555bfe0,75ef938c,66dafa26,8f41d946,ae191f21,841ad677,420a77d6,ec440baa,c1426dc,dc2449a3,eeff6f7d,94e4f012),
+S(d805bbe3,a8771fb3,3a22c51d,d73ad400,f7656107,3767fedb,3babebd0,226a1244,5bad82f9,ed6a1a7d,ca0532b8,87c7d7fb,1280c05a,f461321e,9065e11b,5c7aec51),
+S(ae3b990d,32ad44a9,874da8f1,79e4f7e9,fca965c7,d7281f07,1df80c63,2b9dc432,3810d68a,b5cf8ee6,af08c822,d922621,8197cc39,194ba913,492064a8,5405a346),
+S(69fdac,1c5be33e,fce9fb73,49f936d9,ad0d9afd,e1df6d00,df6599bc,4870b6bd,2fbb05fd,3e82f2ca,8c0340e2,d43f0d99,98f12f1f,c433046a,52aba97b,9d30ff3b),
+S(1b0c0ecf,b0e9e6b2,238ee645,e33b44ef,5f102985,77df53e9,26fc2f82,d1aee964,9400ea2e,ba2d25f5,2607b213,8b30475a,67e5dbab,bf8e5ca3,38f84bd3,947adade),
+S(7e2e1b2e,8f69a883,9d9e3993,312c9bdd,78a2390,251d4a1c,209b0caa,47eb0171,674c4c18,e61fd02b,660ec735,67fe7340,591c2db2,924c9430,bfab3948,d3a84eef),
+S(d42acdb,d02a6a9f,da7f9d83,9d8c240c,7ae50331,3aae1d56,a0e1798d,8e668ba5,2c54cff7,bda5ac87,3d044272,b7bd52a7,dda6a14c,c9bf9e07,3b0375d6,6489e70c),
+S(6a746102,1f9780c7,5eee2394,823354ae,cfdef6d2,46892b1d,c7150863,1e6f4c93,f7957ef3,1cb47e0b,9e3563e8,1fbe69fa,1e687e2f,3e3efe50,d21cc4b7,26053d29),
+S(ad164b38,d21a5211,84b6d47c,be01953a,5f5b8a97,7f0d5888,b9fd9495,691f2749,5709a9db,404b1a06,5f965af1,7ca7a2d7,f036f39c,556af11e,9a0a7340,52c2b5d),
+S(867099cb,84481d32,d9a4f46e,2e3338cc,9d5f14cc,f65d97d8,441fc8be,38e36296,8688faf9,7a3eeadf,8a42e884,3e0ac108,90f7f417,8620c0b0,49d13e44,9190ed8c),
+S(d52d12cf,3cca7ad6,ea0ed7a3,92c4da04,8d31e279,63b1a9e9,ee5e9d07,b3ceb2c6,fce207b7,1aa22562,2f589efb,750f984b,b52208a1,6c07990c,768020e9,9711a80),
+S(da5ccb53,c4c46a06,1ffbb2e,4814520d,ea373d68,1d426071,c9ca49c4,db5efcc7,28b00c21,4cf71f17,601cd24b,4516dd20,4f12fea6,c7fac2a5,43a2176f,1f150aed),
+S(3e8a38b,505d7916,8e518d17,39198d6e,65139b44,edb38001,72a92b0e,410c4174,f7b82a9,62980288,47e06c3,e51e1a6d,f2ae9cf2,e2468e01,8ef79534,a8d6e0b1),
+S(42a6d29e,4952ebd3,7169a99f,fa59742b,58bc24a6,c861dbff,ce79346d,78b7bce6,e6da3768,2124c365,878d577d,d1358dd2,b39a4bbf,e25f8bb3,dc97a533,c40ffa7a),
+S(728aac39,15d078d7,4b687a75,6b166e05,d9636a71,bfb1103d,aa78fd2e,b8f22519,db2159e2,a71d66e0,e68e504d,40d60bfb,34f8be08,838c1435,f9018ea6,bd88c876),
+S(ab5218a8,a7c5ef3d,f7538035,a1812787,f6cc2019,798935ce,92d9fa34,be65f3d1,fcbb8182,d8cc462,7ad1082,795c7b87,3932e97c,6bbaa7f4,2af231ff,67dc7b8),
+S(e655414,ceff2752,990448ab,9159c7ae,50490932,a356bf80,d1669a6e,ad808506,cc0bf966,9915d938,219c197d,37762c8e,491d7cc9,48f1c993,c4406dc,384018a8),
+S(9ee3eddd,519e44e4,c53bd4a5,f7101964,ac47a421,c72fe25a,96f79516,96c078c8,31f39cb9,f5441d,613eb470,5e9ea328,ff1f0b74,3835e7a0,f9b6ab5b,bb9de8a9),
+S(dd7893db,e0028143,fe5739a,832e4aa1,ffecb200,d13f7b1d,a4877234,4330c15e,a38052e6,e03f06ea,d3c3f712,964457a7,52c7eef0,ca315f56,4060022a,66f6ee3e),
+S(e7ab0025,d07507c6,6cd34270,8c0a89fd,53195b4e,ff3ede18,69488886,9eb91cc4,caede34a,6f8cda34,77bacb2a,935113f5,93b69979,18102777,bbc26128,9b0cb112),
+S(47f608df,6d649b02,e55fdab2,a2bb4743,2986b9f8,61460cc7,c4961f51,89b57e91,179f29c6,6dd174de,bfa95876,22434b35,2e48f45d,658bf7af,d26a19a3,50333560),
+S(3015cb0,87376de7,a18e7349,556b2351,72f27f37,e3a217ea,c7a43762,bd3e57c,a2e673e2,6b0f1888,14cffe51,2ff43eb0,c241e239,1f130630,dfab55a0,e12c844e),
+S(aa7f171d,463433c3,93139c76,71d1a0cb,8b7745c4,3f3b1f1b,1669e3a9,75120ded,b8c9d145,9f9e9651,bee3a7f3,fdb71bb0,6deaafdd,1912896f,4b6a0e74,6869144e),
+S(1847e63b,ca44c694,9ec3ac84,773af743,337d2dd7,46b6c5a3,ea9520ab,5af25469,ac19fac4,e3dd014,349c44d1,3436cb8e,465a754d,eb3f3c2,ae71eade,6c5a067a),
+S(c11064d2,f638bedf,f762b481,719c85ca,7797e913,79cc3d12,3137ae2a,7a273179,7f74f429,8b47a566,bd3b6eae,80b47dcd,38e8780e,2ceb8833,dbd74462,c8f3db3f),
+S(de6928c,f298091d,d1a42817,22d8923d,de25c954,ebfb273,80e17943,c641cbee,b02cffb5,47247542,be586c6,e88536dc,f6882d91,e76aa7fc,8769c2b6,5c585cd6),
+S(2b8b1dc9,f379f2fc,a30d1f28,7877b47b,42f04b20,214c0beb,13aa2d28,83c52d12,1f660659,b7ea56c7,edd02c57,d6daa12c,d13671f,b657dd02,e75905b0,64d51d81),
+S(90b39618,3eea7012,c537b000,f5f1ad28,e0416fe,6b1b874,effbfbfb,b963be57,bf37d7fc,ef9ca5eb,6b9886a3,b6b87f3e,976535eb,31cbc0b,464e69af,fefdf9d),
+S(4fdfd77c,a033de11,59fc95c,ae07cd03,c570380e,ad2a376a,957bb26e,89bd4a8f,a1b30601,245aef10,ee891ce9,83cdbc66,390baaf7,b9c833bb,ecc34148,79f6a866),
+S(7e2c3510,9c0a3eba,7b8b9d4a,c3c8d1e5,31304e45,25404814,fd66c3f3,3f12a1a0,39a8b59f,ed4d9d3d,29d8d1c3,130c1fd1,dbe7f2ea,cbc0770e,fa18e76f,3322a107),
+S(4b80ce19,a7101706,b4bcc308,a4cd92b6,f8177a97,e2b2b6e6,1ebc2ca5,32c4b48,b72eb80f,55486930,94c8bbb7,bc6985c6,29c85d10,aff7d243,e5ead021,2b44587b),
+S(8b07cf,264b3d2a,21705a59,dd82bc7b,573508f0,597831e0,336db2c5,c3702e3b,1b992b9b,8fe1a29d,d9781827,edb8ec89,49f6d412,12fe7e24,212f805a,4c4ff0ed),
+S(3b65c4e1,d3171be6,67b01021,55644627,d64f9375,bc36fd3d,2c2a4fab,47a59e68,573fc9a9,1a09f5ba,78ed796b,496e1d68,a3f529d6,d0a77095,5ad16baf,e7b1e047),
+S(baa6b559,e674ace6,a0378536,8643b0ff,42d8ead5,1c8d937a,7b1de152,62956003,eac99c3f,696ee584,7080f488,3b112c7,f6c69b2e,61a6e20c,135f5933,86289a3f),
+S(e6453682,6cb25506,4107be9b,b0c2c225,5038c11b,96226fd6,5f8db8ce,70e32fe1,f74e605c,71912ac9,5e2399df,4f3ad24b,1c3a23a4,4b5ebca3,5ab8f31c,737d9aa4),
+S(1aee4f20,a2db8e58,f33a8eaf,4a8218a4,b93212a2,60aea21f,64acfb56,3c8c5e83,3fc248a0,956a3136,daba7450,49e6330f,845ffac0,c2ed2f93,36ad1862,eb8b331),
+S(8810ec79,33613ee3,49e0dba5,4a8ae34e,67a01322,46830eb6,41dea38d,c47f5941,c9c15ef8,c6a57a44,e9ea1832,c1c62dd2,c8aaba21,48d2153a,6e5a9001,281a273a),
+S(cecb3ed3,a3380083,c8217e07,4cc0473a,3cd2c9f8,1ca8bc29,4494b01a,fa1bdcee,8ea11818,8b25ffcc,7d83039e,af605c9c,4132c83d,e97cb207,ca83f43f,26a557cc),
+S(ea24fc58,d19415dd,aa780932,f7fded2b,e88987f9,9387d43b,24773ba2,1b810bc5,5176a2d7,a5d955a7,6452bb2c,49048329,b83ebcf1,2f3433ec,79573c14,4446e149),
+S(facd3728,c43fb0e1,7f03a1ae,a7997e47,615706dc,3427039f,b994e14a,9a06d7be,ebe7826a,fec22f08,3108c710,9b944cb4,c4427b62,11f1f85c,474da8b8,25965d11),
+S(439fdac4,66739dd,82c29854,fa9d599b,6fae190b,18192065,8a6cfd7a,1cbc9a5,f8bba187,677d0d3c,d50ee132,3cda2daf,d75aa6a6,1fca861c,2836d096,d1e3ff39),
+S(167491d1,34593c79,6cb90f5f,868cea3f,56ef9b1d,e36a010f,a9d90eb2,9818d9cd,38303727,58f84ddb,ad5733a9,ef131555,14c314fc,4749efa3,4562c441,201d506a),
+S(31ae24ac,8a76f509,2b721ef5,102623d7,eda96598,84563c1e,8177e3ec,6abf6ae,c3dfe7bb,c8017a0,e2f501a3,c5f11e04,d5a64dd7,ba2d0ed3,2082b7cc,fbeb2e1a),
+S(b51857f5,526b8179,3e7bc5ec,7b74062c,57dbb146,1fe68d3,48dc3d55,d1c2d66d,f4313526,d268b372,5d1368bb,d40ac55b,d5f43377,de17bd6d,efd8f536,7c346f3e),
+S(ce9c7eed,356d5ae3,b3334031,550f375d,35cd6e0d,eaa760b4,aac1141c,bda83df8,560b3067,c53c8f79,5916c5bb,34d99c02,efe4e5f1,f4cb47c6,f0662aee,2f07807),
+S(1a9dc184,362a2f5c,58c53c53,160fde7d,f7b4c64a,e9753b7d,2d98be7,8c91cb33,bf4f3c80,8798aa25,bbca244e,1a070a57,c2ea26a1,59ae4ffa,84a4125f,c3b1823b),
+S(3b3050a0,724a3c3,746e5bcd,832799cb,875758b9,2302eae4,82bc3c22,f17cd341,be5afdd,5fed6544,23bb069d,6dd96cfb,1b82cd9e,14dcb35,e0d7333f,54f924a5),
+S(a4493930,c44f988c,fb634d59,5a0defbc,b6e9b809,133c0925,5c8ccc06,b93dca40,da27ecbe,97603604,2a559942,7176dbd4,fcc95ada,beedaa43,e40d5ec3,de5c4770),
+S(47667272,59f47404,5fefe2ec,7f266c25,f9583c16,ca8fd4da,3149e8d1,bbf7dcef,526f565f,caa55541,d31524b,e942ab80,a895d270,a8cfdcf3,99dca02,75cc0f0c),
+S(82715959,aa92d89f,91a7f53,af2d7e2a,2a3e8b85,2e30003e,caaea68b,774bb918,85188269,f1c8e6b3,328f1e04,1e4b79f1,8345dba6,49541f76,30dfd9fd,c1957b9a),
+S(caff710b,8a246b27,1b7b8cb7,aa0eea69,3a1ab37,e58612b4,efbeb2b9,f1d4c1b3,7d20c6b4,5cc53865,7485ad82,43e7757,131528d3,ec134a13,b009032d,bae1ae23),
+S(6270f6ce,665d2b6f,7d6ebcab,f556a681,78da916e,86b543c5,97771fc3,bee9efa,700f4b6c,b1487e66,af0ef5e7,9e98585e,b22c8e05,66cdd93f,db0e6ac2,809c4271),
+S(f5d502e0,33d809c2,32f5eeec,bb4fa68a,97d5d231,6e06442b,2a3e5bc6,fcbdd6af,e802e5e8,ef9d6c91,ee5b858c,f6d62ccc,302eb555,2529cf5a,808dce72,14e3644c),
+S(3a0482ce,c7c453f9,6a4d6f35,d8e3e51c,5f94b58f,a68e607,fa09cd44,ce09ccb5,fdd0d694,5601b9d5,437e587b,ca0df637,e17e7ea8,cedf9a6a,9f6f164e,f979e523),
+S(54f22100,7ffff6d9,d5886947,8f164fcc,a67cfe3e,65986be4,bf9bf65f,8af89959,3b9af1d6,9036d3d4,6a6d121a,9653452f,61c3454b,2c786fbc,c497f0f2,e0ff792d),
+S(7049ffd7,46bff6ed,c29f2e5a,d3dd5397,e96cc7cb,a1c30eb6,e71994ff,2036fd97,6e127611,95338ac8,ee94c953,5aa13afa,4f79d1d7,63994baa,e932b468,729501db),
+S(f79cc302,7b4eb747,a7d67fb7,b1bda0ae,e47dae79,b410a6e,dcfda1c6,8c69b1f8,81d75d83,a5bc0e36,25d6aecc,6319120c,1c8df3ee,eeaebdbf,50ab9629,47715a9f),
+S(fa0fba16,15c8c22b,3895ad47,8a8e2ea7,3438092d,150c86c2,8527b38c,2077a9f5,5f351702,7e1a8231,1eedd70,4cb519ad,f550dc64,dd1321f,705fa6c2,54a18947),
+S(49b2fedb,7acc5ed9,7ab5efa9,e5b35377,b8dfe602,a0fa8a2c,5294abd8,9768aff9,f6b7325c,29f5f6b4,f3b18c9,366a85d4,60df8b78,ace02604,8af1cb1d,972e4042),
+S(3623f1ae,9e3bc23b,7e9d758c,4444489,c3d9477e,eaf61b08,37f6ed,b9e0978a,f2176087,f401aeb1,f245a2a6,962afec9,fa7425c9,25cdff19,d137bbd9,f756885d),
+S(67ada72e,262c36b3,cafec765,ec0209ad,c926b367,e5b8730c,b5d4db5e,37741312,7b1d7d71,511d4b61,450f847c,242ff70f,9729b2aa,c2e2d97a,4083e7a9,c07ca08d),
+S(aa61ad71,44db1e8a,7d8a2f4e,80b471ec,bb891cec,7d16a8de,99ae20d7,9a11d00c,b344fdaa,bbaad87e,56d9093c,2fdd0bd,59316f31,2dce7a6,344ffdff,84ea71fb),
+S(5dcce9b5,ba254153,bf270d61,494776bd,84f7be8b,f6a6ec2,9c2e3189,98e243d7,cd3b40e4,6bb08d2,5797da0a,6afd9066,63211e04,fba739aa,6e4f7f1e,d3068746),
+S(8fbd32e3,c91dc619,ae0863ca,47b95a2f,3d8ffd91,1e41ce5c,b9bdf529,2504b1a3,b89f6d35,691e8155,703441de,b0d2d726,83247df2,ea46357b,ef5676a9,e582f29a),
+S(dd31d01a,7af2d173,ba0c5c1c,ab7e59ec,cf8882cd,47904372,45d8a786,d1bd3480,91b2ec5c,59193d1b,1117763f,8c913d87,af40f6fb,abe53ef3,3e7548d1,eb211155),
+S(1a9b64a2,52ecc6b4,4c17f134,cf32dead,66e4344e,44c200da,8c261d76,838a775a,1a2b618e,e96fc285,6be86b09,fa6caf61,4f7ee3ce,3bc34ce3,72c522e1,4a95905e),
+S(ff9613fc,de744879,ce9a7c85,11508428,771d9421,b760d75,39adc805,61db7678,9a736730,5df91c31,9711c882,ede59e77,c09e2c6,f8b05232,2c0f79d2,77a4ebf),
+S(3f29e50a,f584e0be,71247373,be4e9e33,8fca36e2,28f8498,ab57bf37,31deaed,b41490f6,72bcecd2,7c45a524,ccec1502,8186fd1a,759e4ec3,ce2e4a4a,abcca36e),
+S(66457fff,d8836522,26260eed,4d00726d,ab8a56ae,26c68feb,f6ed99a3,ce782963,511b11cf,9237b49c,ab1bffdf,681f59ca,957a8182,ca2827b3,6cc962ca,d2becb29),
+S(cd369d78,9ab5764a,a42dbd61,7fa711b4,757b17ba,fbf012c2,17a30cd8,dd42fd6c,42299f3b,674dee41,655ccb47,7783b8b,e54e0ca1,ffde384e,dd4cebd3,283196e1),
+S(ad9bb10f,622b22d3,7c25ed15,323f1675,c6d12016,3f059469,6a8f508c,318c045,73f1883b,ef27a26e,a2dd4ae4,c399be8,2101c1ef,a6e67dc1,77dc343c,c56d66db),
+S(2bf2ef32,e0277bcd,5ecafa49,910eaf8b,f107d591,fd0fe0d7,77b1ceea,c600c42f,6b8dfca5,f91f53fd,5fa8ae2e,53e72c95,9823c44,d2c4e7f9,7badc1b8,56e6fa80),
+S(e7498183,bd8f01e0,c272e36f,1581c1da,907d7b06,8e3d6cd0,3d80c051,30dfdcd9,409fe739,b7f28ef2,4b94cc71,8856c99a,e67aaa3f,bf3bc8de,d71cc22c,9d4e4911),
+S(b3921311,72c00c5d,fde1ed00,6aa50d01,9353bd2a,9e27afd8,60a71e02,123e7887,486cb8,d742f42d,9e00b8,e82083ef,bd1b8334,9babb4c5,a3a85c2f,9441fce1),
+S(6cdd0e5b,edda536b,9c747302,4c3a8645,ee929f54,ed7f23b9,7a1cfd1c,77489e24,b190166d,b0ad70d9,f0b422f8,e5f0a0ec,91bd9cb5,f8bcdfbf,2c7594b,71c19e1e),
+S(51bb4ad5,379c8dac,c5e6e19,6735c84e,9dde67b8,bdf4457d,35bf937a,3d726a8d,49bcb2c7,a0d6af45,8544b9da,674449e4,c099a56f,d0dba507,6b02a9df,5ce294d4),
+S(c57bbff0,297f3040,3b81de70,fe524300,5b7456f7,997f4037,f6206e0c,277c74f0,316c5ab3,95b66038,ec5772e2,7aa2f7b5,b54e5511,6ff35e0a,5c4aa11c,efa8d05c),
+S(ae2607b,d956ff85,12b5554c,b188978e,e0408c13,82739be,4e68b9d0,7bdc45eb,294424cf,51378200,ad3eae19,26f89a73,ec3398ec,8af9026,5ea556bf,83833a27),
+S(95671646,1c47678d,5012d1e6,5b918e89,c96f699b,a7ecf63f,d6eb275b,1fe508dc,abbdc408,a59b2e85,95a7a2d6,fd133767,849888b2,f17070f2,9e827fa8,17bc66cb),
+S(e98b0e03,d1011075,928809f0,aa62f238,40e8319f,b0108be0,2925a291,967c7702,ba34d7bd,138fabe2,11ac56a2,2d385316,4cdcb1db,ee647cbd,73493391,a87027ba),
+S(c0f9812e,b7f529aa,fe875709,1928b262,1277a751,73011d63,b0c92efe,a02291a6,ed5f2cd8,5e85ce14,9f59f50,f3a6db29,67095adf,91b08dc2,fdacc0d1,d3d56391),
+S(fd4dd84f,75fe56b7,543a60c1,7a3ca1b4,6f7b9b3,6d6d5c4b,eaa18a6e,6c4ec6f7,cbe12b0f,c1bc2973,ab395480,50d768b0,8c9ff86a,97f2ab4e,942cf095,a10603cd),
+S(f00052f0,700d99e6,4d94e1a8,a888abce,3b15b52d,1d08f20,3234e5e8,9ee6cdaa,709b247f,f1daf175,ad7c29c3,bb5ec78,1521c5a3,3e4674bd,d97d9891,7efb07d5),
+S(44d51252,7024b64b,f6d30ed2,9e176fe1,fbf22cd7,5fbbcb13,4aedeecd,5ed2c023,eca73cf2,b90a0f38,2745a43e,64048010,259c0c74,1deea6fd,bdcaf497,9b1e2f2f),
+S(15651366,b6cba09d,9409023f,964e48fb,422f3211,832000ab,6e84e1ec,faaa1472,bd79070b,a7100d6d,63795ff7,43a26834,85996819,e9bd81c8,b08dc473,5e6bab6e),
+S(f8ea84ac,35b6e596,5b6ea25,8411855f,71de79ba,ccca4ef9,b79eec8c,c9e098a4,58da08b5,26d6d3b,22ee2b0f,7e04d2b,ad902b8f,9f4f1f5,454cc0ec,fef6a2a7),
+S(f4be9c47,94b6e479,8ba892ee,3aee0fbe,b0cd7ace,1c9d2f4d,ac03d92f,3efa405,e6828465,7a6e2175,361a914d,4d09eb7,2468da10,d72dd3b8,47b71e5b,6c8593e2),
+S(65cbda31,ff7780f5,2b31a743,ac03eabc,4f2e3155,8083f198,46a03ca0,d582e348,b8433ae9,848e425a,603c4591,8f64288,fb58c184,454c6c1e,e9d8748b,c3a546ee),
+S(e1bee56e,3f500a9f,4b5e0557,157bcdfe,9223c357,2d70ccef,8b8542e7,f24bf9f8,c5b84a5d,395d9c19,8f1cab7b,3a9cfbf4,dd129a03,e9fb6019,b99c48e2,a0d574fa),
+S(7de38584,d12ff024,a179f361,5c44d704,c4dfcac0,4939a8e4,a46d1574,7b6eaff9,2797f251,ce328323,e181c130,59ff6d2a,261a12f7,ebcc0dd0,55771a4f,edf812bd),
+S(5767e926,fd4ad964,f4bfb7b1,c6326e55,97f9cce3,ada51a20,6b4808f9,e8abbbbc,64a80f76,8a89806b,98f0bb01,b370c200,149c5484,a9cb5f3c,af8e47a4,27813693),
+S(828bdd32,18e6f809,6c1fb305,1e797ca8,3914f9d3,ad051eda,d2964cb2,dee88c6e,5a7f7cbe,166f2cc7,b747a1a9,3e3de1f0,3a0da8c4,82eaf9e7,d5ee7e7f,e4936882),
+S(617fc9fe,3af26495,bc6277a,86387377,55398b94,1665b70c,32d5a2ae,3d8d2909,278aa70e,58c0ba89,f44dcefc,bcaa7212,e52d8eb2,f3735772,11e864f,2d522ecf),
+S(1f823558,2c08ac8f,f58648db,194bd6bd,1f3659b5,5fccd0f8,67c9f11,86e20634,bf356f2c,fa221b73,bb118567,518147b8,f0c8f19f,b82ab45,41e12b1e,c9fbebca),
+S(f6229866,82530e4b,301cc0cd,576e9fbd,a65bd52a,d85a3ace,6477bd57,af52c718,9d2cb0b6,ff327470,e8beeda1,1e2d390e,28917515,a8bbd587,ec303d77,f57ed72f),
+S(423a8b60,fe61752c,95353258,acddc1d5,5ac7f226,695d1e73,984ab059,8810f220,feb12e01,7501fe26,72059bf0,dffd41a,f952a4e9,84491463,29a4d294,895eb654),
+S(f55b2c40,6ff6f463,1a2715e9,d1471c98,9f3df537,75e5980a,2a48032d,9936ff12,67888b7,e6116a5f,94380503,d1fe63ea,a3ea7f71,64e79500,a0db1201,31acc6cc),
+S(cdff1ae7,ce2ba4ba,8c8aa999,aea60f06,f6dff050,2e802f6,8f27a352,edf9e3d4,81cd9da7,9fb9adf2,31243148,623906ff,3e80d730,a4977dc4,16539452,58d8f2e4),
+S(ba7cfaa5,96502414,984b4105,739c5fdc,a77c6eae,f8b96cdf,8b8e9fe6,f7f62819,bdcd7dfc,ab11f75f,e5eb04c5,5e7d8f4e,b622ddd,8134e668,cc9f27cb,bdda688c),
+S(4a7b5b47,865e94ef,65ee1053,ffb75ca9,8a7a01e7,78d8c9f3,9a8d5c9,ff2daeaf,c64ad5b9,2a5b9995,77eb3a4b,5347ebee,99e5bc19,15b1f43d,5af38361,9050e5a6),
+S(26a13407,1f6b82b,239bfdc8,ca2a7f94,110a63a8,b20ed990,71d63e5b,938ed91a,14fab6a3,819f4bdd,348ede08,397d7f81,d514e99,cd777fb9,f42917b8,4cc80b7d),
+S(154f8ad5,405cee5b,42ea1910,427ccab0,1861c0e7,29a1ddc8,7e8307a7,5102bc4b,37c6a2b1,f7532681,7621f58,75db7b09,18118be9,6259ce12,ecb15459,3231209d),
+S(184496b6,b31e534d,ea2a9712,f22b83b5,a82bd14c,2cb90b8f,b20cb735,3d4b9e39,bdb92f21,7807d1a8,82912dfc,50b3af67,ad9e936a,6409e263,961a82f1,31fc4c0f),
+S(2d781eb,a2253f32,75feaa51,fcef2a34,413effb9,2f6523b,371fbe54,3f33789f,5c0f0c47,b11b4b38,5e8d2d75,eaab2d02,39c2e63f,125f21d0,17d34fd9,d1f6a91d),
+S(cd6fb1d9,790c93a8,3813fcd,8036c0c8,af3c431,f21d334d,8816001a,41eb83ae,15f0f885,511a12b2,804c90e8,cab5d209,76db1e9a,9fe18326,9d1c7570,5bc24f65),
+S(97f9ed25,9852a72,3b4bd360,681d52da,fc7d17b4,5e7656de,1448e499,ceba2aa8,3c609c78,25553260,a85ccd6a,3fea7b00,aa87e76b,3e0e08c8,2f7c3fe9,ce760cef),
+S(72765585,fe283950,cb316f48,d847132,8782681e,54dad1f1,c0a0a50c,c4086767,147e2389,3ad0d7d6,a3472bff,2c6560b5,93b554b0,e6247618,3439c576,205b4fd6),
+S(fcb0ecd5,93a00061,2439cb19,f7e5f71a,4612ec9d,1b9b825b,8ca322fb,daddcf3,5e9f5967,f7131ebc,1959da85,94069704,bab1d58,4a06cc8f,78cd4140,9f532eff),
+S(ad12b476,ef630659,2fb0fdbf,522314cb,9f185f2a,e420b057,880068e9,7fba5539,38ee0f47,57ce8f0a,bb6cbb47,ecce2e86,5ab84597,f6aa91bc,4c4c6b52,68755886),
+S(372e498f,7ac9618e,3850fbdd,c9c01995,d96747be,2183e472,8dac7ac5,a1c7cf65,4d5de2e,940b12c5,fdc8dfac,69c7da20,4b92e570,b59a8bb,2cd930e7,42b76cb2),
+S(dd613209,fe9e2699,9371509b,5162b3e6,e3557515,c73eeac4,800f6e28,28b56fb,fb1c28bd,c0b4c0c2,bcb53557,5b3b4377,c9f29786,31ae6c65,490ef38e,7fcbe1c),
+S(8da18bf,6f680ffa,bc4104a2,4b397a87,25240704,287d7532,72df2321,dd94402d,46ccd8a9,401c4fb1,9c81a737,43330fd8,d3a60361,b94e47f1,68342280,373e7264),
+S(1800dce0,a2f3a3bc,29d40690,ccddba47,fe8a71df,e646fae1,15d4a784,391a13e3,b333eed5,deb1b43b,c6646a2c,909012d0,21c0796d,c14c90f7,d49c6b68,52e1920d),
+S(b6041277,4cd089d9,9c3f4434,2d328b6a,bfbde44,11a60f38,ffdab086,74b834a9,3157019a,32bc8cde,344e60b0,970b26db,4be7077f,956e98bd,39cc7915,64a13f2f),
+S(8be5e638,5fe5f9bd,813449e3,bd76b6da,b4ed7fec,ba853ee3,a302270b,556281ec,e114a14,136a7341,5e8af8bd,23dd589c,cb10441,aa173eaa,21c06ff3,c03ff1fb),
+S(1ddbdfad,990c5764,ab076a62,27497400,410f5d84,3b9f403b,d4f51e5b,f0736518,b2688561,7ff17294,9c8f89ca,2827f0e0,a1483e8,b856a659,a009dc68,c5683f0),
+S(15458735,4f122df2,18c33929,8fcd0bd9,d032411a,cb76df93,31345ba9,668413c9,1b3d7e33,cda314fa,fb90abdb,b1ee2105,27b35732,f0b77f39,69c942a2,fbc54195),
+S(925114ed,22625dd6,d4d947df,87a2b63a,a97f3a6e,d47afec6,9e11a1b3,3b798630,55e48dbf,a47c887e,e3ba5758,4f697f6,7f6a1d73,fedae7f6,f63e4592,cfb33e03),
+S(9111ec73,d2e56190,7db6c07b,e7324fbe,ab51d18f,8423d484,cb6a0d,a0a7ad27,f7317b13,4befd605,a28b6549,1b2752f3,26c86370,f5042832,1dc22b0b,9240c8d7),
+S(f2d1a752,ab206393,7f780a3b,9f39d87e,9d257c22,beb1d286,9434256d,ba9dc3ea,39d4603d,e66337cb,f0b9d39c,cc40c16f,4835ea6c,aed5d7b6,2cf67ccb,35d5e752),
+S(2588d10d,a854b844,afb998bc,23aa3742,76938d27,b08ddf70,48605df9,ad55fd52,826c2422,4d95ae53,daa562cc,88e44e52,5d3ff878,ae350e30,c1c633f,219824b5)},
+{S(2def7e67,7906cf3f,3677e7b6,1b0a8f8,985fbd9b,23265ea7,18a5c16e,139f0a8,650a89bb,df8c8326,d364fae7,558de827,a529780c,9b7bf8f1,c6925632,7c59c74c),
+S(6e6cbdef,4d5cbace,b79293f,ecf1a4a4,5de81e3e,97e4c30a,ccd6cf79,5668a013,729e4c49,2f454b35,4b127cc3,788bb93d,fd83061b,7f7f6ccf,c24d3fae,d96a7f6d),
+S(29d56adc,c1fe441b,123a94e3,fb8df47f,d8bb8565,40c1d3a2,d8e7ed35,c4eae6f5,6a3aed22,6ebdde19,d2bafb8c,68656edc,9e3da959,f2af9872,3ad29a04,8a549a33),
+S(c243cf24,3cc28801,e120fdc7,ab6f8ad7,531a5053,1094cc2c,3a9476fa,e0491344,3decbb31,22c91c6f,502eb3c1,7ac22bd1,509643af,3bbcafa2,ae2b6eed,18decff4),
+S(2d2bddef,e75d43d4,a8b4ab19,b2259a6f,24bfda1c,11fedbf5,a12fc353,f0039157,215173e1,1a9ac83e,b339dfa6,ed66efa9,da876aae,5d1a690,4c8ea43e,63b683b6),
+S(d2796d04,f82115d2,c4849c4c,be608005,1a2dca90,9773a524,56b2fc44,8bd6d7e7,be176139,829c1b69,352e502f,23b724d8,1181ce81,c447e253,a2bc132d,e3bee967),
+S(48cda6ae,152ca92f,287a9cf7,ae9be740,29cb8e3f,afc859f5,31f920da,883eb4b9,55fc18ef,af858cdf,a098c4fd,8e3f41a0,92292093,a3c66866,1361edb1,c07956be),
+S(702bff16,c5121a82,cdb8d6ed,fab0e741,f76c08a1,70bdddb3,8ff191bb,3a96ec64,5525ce00,3cbab9fa,58b60b7b,5b5e85a1,e208517f,91b0caf4,9adc0c5d,ac0e6e23),
+S(98d066f4,30911d2,238cdc81,5133563b,338f9a28,2da63518,6635af43,fcdc27d5,6f10df8b,7bbc5ed6,a64f1884,1087d5f5,6cdf8df0,f9dd493d,23f6996f,ff39e065),
+S(44e69b1d,5b7c3816,af2aa890,dec5e389,cbdfe5d6,44d6c0e2,f36527a2,6127b24d,1ad0e960,7be9fbb,efde8dc3,6030d3a6,41e325b9,48129ac2,b26cc1bf,11b331c0),
+S(adde6eeb,fcd63063,ce995ba5,3641b01e,f0797d41,d9e18f78,43972f89,9d7a518d,7002020d,f2576876,2d82a067,139387c,7956680b,65fd70ae,3d75bfd6,fd0f77a2),
+S(f0f09803,b43d4c1a,f187d94e,3dd9be54,703cae52,5f15fa37,ddcfbf24,98c9c24f,96f4a35a,40523728,10ebd243,ac6d1419,672fe0d0,c013f1d3,460089a9,2457f7dc),
+S(dad39c7b,d3edaea6,3ff16c4f,a9a30a9,36d7e447,939327d0,d4a7fa4b,33d7126,6a927d43,3237ff27,f3f87631,c85e4294,1b188fc,d5ec4780,a58409a,cc95d02),
+S(b44484cb,b4dc709b,4c21cbbb,2d7d94a2,c5435cb5,1fda7dd4,c3b787f,55df5d1,70e35874,be7a22c3,1e43f2ef,8b4eb222,5c1dc3a8,cde5fc0d,56ab9970,bf4db709),
+S(84dd9c05,3cecdabb,b3ecf8f7,c8737e22,634fea44,80c03148,38d6bd35,6a15634c,7cc6a067,81eefe79,d565946a,96114b52,8a482eda,a9028c5c,b925f037,a75335b1),
+S(e45d6bb0,50e66a94,d22b770c,9500d960,6f529222,441bf9fe,7856899d,edf3537c,5ec38fe5,7508aac0,eeea33ac,3aa44dc3,e600d184,a4ddb9fd,64acd359,be96336b),
+S(25f043ae,b509364f,43ee5ba0,291c95bd,d442fdac,3f00e338,6397fd4b,295416ac,42456a08,64245a0e,5dc9d06e,1f4aee74,b4ca1c80,1281bdf0,59e319af,f79c7ecb),
+S(77c7a59b,64cf6153,275c083c,ebecc3f3,59e66002,3bd2344b,a465cc5f,d44b6938,6415da93,e98298ce,60d96880,2dec1899,84badce3,642ee36,70558d0f,bfddce01),
+S(1930909f,61cda446,a270581a,2bfb8ef8,14af75ab,aff6db5e,c9235020,af199c3f,4b7d06a9,5a7f72b4,ad189ff2,348a63c6,522e8b15,38309e97,cbbcb121,50f53498),
+S(14125e3c,7fae63,cf0103fb,8bb86de4,b97572ce,eb872dd,5d850825,c1c5b43b,dd1327ad,8570188c,1817ee7e,37a164b0,9f37fa90,88784d96,f91704bc,e3e50b71),
+S(c8e7c8ae,b060e8e3,1e768fe7,779ea91c,3e62cfdb,80893516,825d13cf,6636face,e08a5ea1,9b5a859e,6f8f6a1,43dbf751,854fd9b4,2ba6c1fb,80acdd9d,9db87987),
+S(3258309e,4b1682ef,5622aa75,ee7a109c,ad650ed2,93edd279,55fdb064,c35abd92,4a192aa,838bc722,8c0d7fd0,200d55b5,241cc762,d252d138,dcfabe8c,e2ffbcd5),
+S(42a5f570,4745968b,a836648,373af34d,d09c8f86,536004a8,6e043c9a,4c11a57a,2bff198b,5e8bd837,3011ccb0,1fa54719,7030f47b,eaf44ce8,6faaa86b,166ca642),
+S(f0d3e1ec,fd41bc71,d2950d5,d6db5614,e1b560ea,f8119175,f7286a8b,d9c6b563,f4c2e948,a30208b3,a7943bb5,564747e0,50e079f7,703a0d5e,f8039d8f,50acc8d0),
+S(7f918a96,3c4b42f9,17c61ed3,f4be8d22,c9055005,a5a3f02a,6def60e7,305ab89e,c5e60518,189e093c,62d6f7bd,de1d723d,878683f1,22b9ad69,2a300a42,c5ce9b5),
+S(c8663293,f25331c4,a42b1e16,bced09c4,bf7407ae,595e1331,24d0f7ed,99cf422a,df5f065f,d7ee1232,8a3428d5,c8485a28,d882f31d,e66856a6,ee4aa396,79d978f7),
+S(778cb411,8c5128b4,8641ca54,2cbed0fb,e9240380,ad3736c0,cff889d7,1a6cc639,8a1d3417,6f2fd7b0,20b46be0,7905b963,cc1a3970,c2bc1995,daea532f,9ce8ecf8),
+S(11e3d37,e28172c7,de168ff1,2fcab6f3,3441c007,1e562bc7,d0f13392,df64d0dd,a811db15,8e49072a,7a238be1,128618f7,d7ed2e15,bd437aa3,69cd2a8e,3d28d95a),
+S(d65b7bb2,143c9f85,c5c43c46,57cbb87,3d9df9eb,876fa72e,a1f1a221,37a370a7,f2823561,e19c6208,64a1e8ec,ead2101d,175b7255,2ccb63dd,937a5049,3033b986),
+S(d02ecfd4,74b5d84e,96111bbb,c88bca3d,95498de1,4d133893,2c4c6068,9f19efe8,87c93642,866c847a,d592a36b,bfbbfc8a,68b3da63,a7d7f380,ce472b0b,9e0f1325),
+S(978310ef,548ad9fc,1872bb08,dd0f9ad,98889ea7,719c5cea,fdcf1bb6,9853e2f,d067d57a,4e7ebeb1,f05127c7,9c4ba3e2,fbc3c2ba,9cd9f2b,66182d69,2c699e21),
+S(66d8712f,a2221e85,3f4301c1,cb8b1413,ad9288cb,bc64a778,4881de9b,bc1ace0e,67f8a70a,475e9208,c1fe988a,e9ef79b3,67295abe,9ae283a1,5801260c,f916f8f1),
+S(da8b079f,280a64db,a73ed601,2d183e75,175534e6,cc295a63,477f6905,15b3daf0,c55f2528,8812131a,99a89f92,cd6204a6,26a7681b,e4460ddf,9a1940c5,8764f43b),
+S(1a2bb7c8,96722b4d,54828c68,8708bae7,31937165,daf08d98,eb02fe0a,a59cd00a,f0cada44,48f88668,e46425d0,f64452f8,42be2fc9,bf33002e,fee5cd76,39e5d581),
+S(2a55bbff,5aecb50b,97b974be,f0cd3203,34752370,957a9e60,37f2930c,e11a75af,69f9db00,b89a2063,1b4097a0,f90ef087,a9f7cd81,ba15c60a,faff63a6,a4add6a),
+S(2fa92f18,83e0ab3d,d6976573,83734908,a4873e8,bacb0577,c44bf104,5500b6c3,bc24564b,d4f60723,14aa2864,216c6984,22caf8dd,afe0e4c3,a86e12b1,5faed4f4),
+S(5548afc4,b095db29,28511e52,bdd99a63,18e5e15e,17e99da5,b9e0ef0,375b0999,784726b1,d2152b34,4b0c1a2f,b90893ec,80ffca3a,85fe3f65,7be4a850,175982e9),
+S(d4a524cf,6659a1a5,e24a40c2,8e4c9cf7,da607f9f,c209f88c,63c35dd,4af282b5,a73bd4b2,599d92c8,395be7eb,cb70d741,154291db,151e988d,9a7a4f84,b277b886),
+S(e0fb0973,32dfe006,54ea1a3b,858d8d6b,30c26fcb,c4339ef3,165b861,ead90352,43ade413,92521afb,1e87f477,45ca8b61,23775ed4,9a1c789f,49a2290e,1d032def),
+S(ec03ed52,bcf2ed6c,c7fc2a19,c95a53cc,3b66e344,4d35ae06,e5d17e2a,b6311f0c,a83cf9ac,89accdc4,667686c1,4dd83d8,d3633ad2,6420da7b,321b3123,4d8150ce),
+S(dad8eb7a,a7a8686d,d78c18ca,7f0d4d29,edb8ddc0,4e5dc2ed,4e0f0694,1551aec1,10e00983,af99a823,a32d82f4,2d7845df,d3828133,963ba48a,19497860,d975c600),
+S(c883f469,e74f4434,9b4e1459,5fccb517,7e2c2f8b,445feece,901dbe96,a2556ee6,2bf2b62b,5b1c3415,29a822e2,16ede0cd,b75419b7,d212774d,7cf3721c,4b9d496b),
+S(8c71d17f,cd711b3c,4e2c1214,64d9dc47,c36db06b,c877a0c5,8a31cc25,2ba585a6,9b248bce,7f4899db,4c8e250,c642d24b,20419ab3,a65cd4cb,624433c6,37aedae6),
+S(4be86c17,32474f86,f8331f50,b316e0ce,d6591d47,49875e5,33e1b825,7b5cba39,c4ea74d5,62489423,45aa7cf7,82bab029,8fe58092,4943d3a4,d2fc6f0d,7d0fb590),
+S(f5eaf803,98fa27f8,27771d6d,50dba53f,32beb3f3,40d6c045,cf8b4253,644bbf5a,32809769,fce5eb19,f0877c19,317e6200,11303b0b,7ade7e37,abbec95e,fc83740a),
+S(585c8726,bdfb440f,8cee9bc2,4461e3f1,8cc7431c,e8f1ead9,af2525ad,8b32abce,3ffa336b,a5bde184,676f33dc,e46c4114,4dc412a1,8db059a2,d7c6b021,7728c62e),
+S(9175ea6f,746ee2d1,bc893b3b,6faf835e,ef72ba7e,588128a6,56cab59f,737871d8,83cd907d,b0d601f4,88cca1eb,283cc2d6,99913dd8,391eaf27,cb18ab21,6c13cd8a),
+S(c5898c32,306bebf7,7a89cafc,29b49af3,d1ab7fa6,95072cd8,6a8c2bd6,aa8f5d14,2313c593,c67e797,49e44600,7181b257,dbc876a7,e3e04747,c3db35c7,d8df24e9),
+S(d101d707,76661eda,ea604ac2,2e449d83,57b638b1,aae03a6f,2683ebd,f6e2c413,7186ba53,b8b1d9bd,b4dd2fd3,7b48c3c4,144bd996,f4254291,3c4316c5,2a98ef87),
+S(72213fe9,8e8c62cd,bbf8264e,6ac01240,f3dcde5b,b5f71b46,4d8d5617,6fa65efd,80b256e6,21a5041,63b31c96,7753adfc,9c27b4d8,cea73e91,dda2d5a2,7bc50fd6),
+S(274c0fa9,f1dde789,1f88b202,4c4e78ca,ed19ec00,7c6c7a05,6028fae2,d8ca3f2a,d5557bdb,96e52182,83cfa76d,f9f0f83f,2619f951,a7bffb66,8cf3732e,7beb88a7),
+S(7d3a1d16,66c2b5e0,4f7ed96e,3762d04,118aa293,69fcd8a9,1cd8bdd4,6e862e2e,a004e644,7b49421c,af6c82e2,1bde2b4e,84d663d1,a39ac9e8,5ba43b4d,73e7010c),
+S(77069337,2c31713f,1108bca1,730e3d0f,927d0c8e,4ce7dbed,c2c02a60,b3e54d0e,a935c735,18c40ad9,5cbc8b51,9c859f7d,b48be573,cf45e6f8,cd47b8d0,1546372c),
+S(ee44b4ff,e008f122,b4ce1a11,d98cc674,e340c874,f0c5c0be,8008624f,b13a937e,90e4a82a,8f002b78,7fc34998,cf015340,dd4854f0,78d87641,bfcbca47,df06a728),
+S(61c0e32c,e6615b09,304ee233,90435b99,912b6de4,766e0c14,5345956f,af9e89c1,7531bfb8,414347fb,650127c6,b1f78ff7,97a092c3,2c37d358,8e612cda,9faeb851),
+S(bd7026fb,b47a72ea,d28eb317,35ff8ab8,ff244b96,51fe4205,adff8247,2b9d0aaa,6dd60501,40359152,83b7a16a,3d0481e,e8c7b99e,29843068,28c41727,28f21b9f),
+S(8fe350c5,b5882f87,ee976108,2ef77b55,8355e02c,9ac40ed9,76d45187,9e0fa902,21b32a84,f2f31dca,9072b843,6c21ee47,9c02c710,48642a62,2c485449,b907f6),
+S(93226eea,b65a86e7,c0fedc1a,f6b038d8,7f587823,a9a2ab13,a9975ad3,ffc8bb3a,d294880e,867877d9,b5d87b20,3e7d7860,71167666,fac09b3e,9fd82033,84c4d904),
+S(1fee0dd0,4dea34c7,fc6473ab,e89c2e43,215c5dda,6918e089,50d7005e,df1e21c7,dd7b1dec,b1a85eb0,69cfb830,be847f89,8012321,549e2611,92e719fc,2ace36e4),
+S(e6304e92,38fedcd3,580cbe51,564589bb,18ad3cf1,3846dfe1,ba40786a,bea415ff,219302d2,53133378,ab25b331,bbfa4ec0,e88178dd,c2a39378,dee7ce64,4c8dc6af),
+S(91f97b4a,11051415,7564c8ea,2a60303e,f6f5941,7cc5a556,ff244e18,444ea39a,80fc4cc,3d57cf97,6c9e7794,d89e1b33,d5849b02,72d3e544,5f73fb5,655d54a),
+S(7ff60990,34769cb7,5a697d0,418ec2e2,9c5a9716,9ad6d127,ab106518,9fb7b2de,d7fcdbaa,8aa89058,e1f0cbf8,409b9879,6672b305,b6b24a61,42562de3,2b1dc49e),
+S(a418647e,61276567,84939f3c,2375d1cb,82871b1,b8004a12,1cda8826,1eb5595,62797683,2528565c,78a7f4b9,d55fa782,bc97a3cc,598c7579,d48b136c,eeffc022),
+S(26d408c6,39f97be2,511b4816,5e862d13,f6aa816e,1e936474,63eb47d6,eacfbd67,2e3448d7,fac889c,c9499396,c2de66b7,cddc064,186b6df6,3a6a831a,6672c34b),
+S(56f12bda,d8b630c7,5ee497a4,93d48907,63eb1bd7,93d03fee,a19ff997,f42f5464,4d1a3990,7c650896,4fa7ed4,e815379,8e2adf10,80ba7246,3b4e3536,1e34c3fd),
+S(e350608b,35cc41f,9fda92f9,34d16e58,c53244df,1446b03c,2e782a53,2926c9c4,b20d72bf,506c2bc0,b35e022c,c6e2bbfc,f34c71bc,a4b44a2f,317741e8,bffc1dc9),
+S(5a7bd940,cc23b3e6,614c92db,a08bbc7b,63dffd6f,11117b2f,80c2fe2f,849de903,502e5557,8fcc9495,411c7d18,9979f7fe,8f4f587e,53991dfa,4ade527a,43cfcecb),
+S(99ef5580,b219aa84,4cd407f7,d949c07,f7452587,bab97ac1,faf0b143,7351be63,512adebd,49f4f2aa,a26dfb8f,e5c483ba,6ed5b4ea,5d4ecb88,bb165a3e,2494faf7),
+S(99c0c468,a95e76f0,37988aa4,b2ca903a,64a95b17,19f119f8,e12aadb6,5438b9ca,fdcaec6d,c390c33f,31b4074d,7e5a81fd,f2b9f8cd,b5f14957,533bd406,fc68ce33),
+S(a9f80643,5f1442bb,8a14f402,6ff6ad43,4d84e34f,cd499aa,adecb2d5,125f1829,533e1697,3a3b7b4e,1e82a4e4,115f8be9,b811e787,61fb10dd,6908e0a7,aee4a7e0),
+S(8ed6f9a6,2ea10768,4f90825a,e81d486e,92a9a890,78d144ed,53f54cb7,3568baaa,d99f33c3,b7311023,c4266c5d,adae7ce5,a6409fba,d3767f3d,669aacd8,230d8568),
+S(84dff52e,25665e13,102e23c8,698e8990,e5d63e86,330703bb,54242843,8fc9a46f,b1bc70eb,f8ff0905,e2ba529f,1af149ea,536fceec,2a5621ab,bcf89756,ab0f69cb),
+S(1bc3844d,78f82cb6,ada3b0d8,86b4f89d,1a4344ba,431070a3,3f3dbc77,2c523410,94580bbe,a198dc00,2b226e48,7a745090,ec603b3f,aa6e5847,8a8832b8,3b0fb096),
+S(436e0b9e,aa94e6e,b20f58c4,678ba5fb,5e1d79ca,a7bf4179,3b91c962,325979e5,1615e98e,ce7056c0,428e55ad,f4353400,4ee4e158,347ac5f0,715b0f7f,86c17047),
+S(45f8a062,4d3ba9dc,d577dee2,f5387f25,3eb3b53c,31fc6e97,836bffc6,f85b9357,b7a628b9,b9068247,d8415fcb,c5f6e6c0,e72dd75f,cb1abb62,c947cd06,5ef22ed),
+S(b86ae36a,bb489583,84e95ee6,8c46c0bd,8f0110e9,98e34595,1f6e6b59,fef4e2d6,2e3ef338,ebe96f24,ac112d8c,a6803f9c,338179e8,c54420c2,981d0159,27d983ec),
+S(247b2b62,79dc1d09,6085fa0a,390bc09f,2caf6d90,24f953a7,54aaa29e,a418574a,4d3fc5ab,9b3912ae,f67ff98c,2e641ba9,bc23aa8c,f60ae6d9,cd41ec93,7c4a834a),
+S(737bc72c,964ee56c,822f1e31,9ad6f9f6,57785748,55689eff,492c7587,a98deae9,2aa7dfa,d4f105b8,690a507,8fe81eba,2736c301,6ea4fe62,71e47d50,18e4e01e),
+S(d2ecf284,fe7663a3,810ed1da,c8533d5b,a647004a,3e22683f,78dcf0f2,1db4c5c8,2fc3895d,beca5b8e,17a2e3dc,3346b957,3eaf4457,ab0a140a,6d119304,9349df04),
+S(3cac275f,98f2ef42,b0f78a1a,52218150,a18fe23d,b1361151,a3dc7477,fec811ea,a426ed39,41b7ef3e,48b0e267,fc1cbe50,4b1e5671,f4dec906,a2659792,2ccb6259),
+S(f74a08a4,6fdbfa99,843c24a2,f9e5fec5,b941c29,43a25cf,131deb7f,1c3303ff,6fb92df,aafdc8ee,cd7c3416,fc89fb5a,458c2c97,84f71698,c512981d,a8edfb2a),
+S(91d44932,56fd4608,48f04de7,25b3fc8c,656a38d6,f8e319f7,1ecf513,146eefcc,cf058db7,69aabd80,12ea780e,10aed66f,4bd5e356,1b0d359d,167ebb3,2830edd8),
+S(d194e53c,1a2a2c80,f7bb24be,b372d751,118da62e,9901d94b,66cfd289,19387bc6,aeeb2818,d00b7307,79fc14d5,31a3d803,5e5642d3,b7335543,13c8fda4,c940b387),
+S(ec18acf5,a9624f91,1273482a,b03ec7a3,345ccc2e,282a6fc1,cbf89a2a,45e798b7,ca9f64ec,caa12673,a2901fe3,684ac70f,501b4d63,601fccfb,4cb08e53,86671cfe),
+S(488bc882,77874baa,6fc9edab,ee101b5e,1d082a4e,d49da47a,af5e6650,90e0566c,9487231c,3e6681ff,bbf953da,54ba603c,89a00340,c4e50c51,545a5c6d,d51b98b8),
+S(25d4374a,7f1eb525,825253ef,a3ff3747,e4555f36,9fec50af,21716ae6,8a11d34,cf475aea,53df9a1,13670563,e0ade1b0,d4d90da2,11b87318,315f368c,d53c5e18),
+S(5db16271,c0d7e9cb,dab1baa1,4dba4fdd,1716a7b2,8c2e07c8,186899ab,18a6418c,344f8bf6,b722e92b,ed436fcf,41be9a08,327002fc,7b3b57a9,2044800c,a0d1b2a6),
+S(402bb93e,8162ae4d,f23f5d72,611eebc9,8d4c00a1,e4d8967a,da1bf524,9ad1547f,f0c0b1f5,aa183000,7a964ed9,12bacd81,9a36b55d,7d2c7c1f,12da6066,a28c1d68),
+S(87b76fd2,91fd3508,52544b80,85b07b94,20fc325f,a0ecf42d,9354df82,467d836e,f0a2c79f,4613218a,3b35cbf4,24b5fea1,7d2ee9c7,ab912be7,62270195,8b70c133),
+S(e2d73ca3,ffca1eb4,191eb705,c22cfeeb,a7f573f8,463a0cc1,c73bcaf1,3cf6c791,61b861e2,5aa3711a,b92aa74c,814b4df8,37172f43,ea0da2ac,d81ae961,1735fa85),
+S(1e59b370,be38e5d6,4f8b6fdf,7c2351af,75ff9d32,1f583d58,bcd0e8be,ee0855fb,d166688f,24b4b33e,b171343a,87bf8828,5cd5d073,a5023bfa,dc542660,70d3cf13),
+S(52ef3e6f,5aecda7e,e2a6451a,ec2badeb,235829de,b7cf6e1c,5a6970ae,662e2078,533ca8b5,8d9e2e7c,2a992a22,3f385846,748a1686,34e1fb2a,48d3f133,8512bb08),
+S(a4b1cd10,20a321cb,53717818,ad0d39fb,5e9524db,4456e0c8,eab045e5,b2a97be7,979d9ed3,4601d962,3f084e04,9ce4683d,783b912e,6a92c07a,38ae744e,fa7d046f),
+S(bb01149c,2352baba,8f3fcca6,a8fdf9da,854d7,7efebf92,6a0d49e,abcfd871,b186fcef,1d368ceb,351d5e35,35d19052,7373a9,36a625c4,c0b3cd21,d4188720),
+S(978e8fe7,c4088cb1,27f9e8d7,5dc43453,ed16470f,4f940413,eb800ec1,b315f269,6f7f521b,1493b81e,6f099fb7,22ae2a65,f706a351,2b74338d,b708bfa6,4a34f6e5),
+S(7e61704c,77e4a6f6,925a1c48,8965a72f,7bc8e76d,cf316371,13f682,b5fbc0ca,da66aaa2,c39dd05f,7f5803bd,e5bfa0a4,21eb628a,12df0869,6c6614f0,176b15bb),
+S(87c537a9,b97dc885,3b7957b8,2cd9ec81,b8b65d58,47a23106,e6df3d5a,cac3fccf,4939698a,6123ae1c,42cc6ff1,fd006fa3,2cb0a5da,a3889721,f04a4a59,e0fd7dde),
+S(590b5b95,37a08784,f804111d,6ccd7df1,7bd317ef,aebd7bdc,96f3df4c,aa8ad437,7aaf5053,1c187684,ed8238af,c621e151,dd6e7c6a,2c18bdc8,9914a1f6,cfde5e29),
+S(913a2ff7,a9416e56,afde1c6c,6273d7df,150deb4b,f2db3f3a,7ff7fa8c,173ccc09,e865c6d1,33da3db7,2dda798,9a5b860d,671c9de9,d6132784,30b5a552,85a9854f),
+S(b01fa220,1ba66785,aaff5f59,347586e,162ccb08,ca58179d,5dccaeb7,636b4db3,d5589b8f,2ba1ef60,23936d96,f2772d4d,cfad1f26,cf124265,6765dc2b,7d9f543a),
+S(511fc077,bed929a0,249c65d1,3f59c607,b8bd0279,c3ffa23e,8c6c4ab1,800b6363,74b03bef,b913cf04,f44fe5ed,40ff2ff5,9e85db23,34ba902d,84dad90b,68a72912),
+S(d8597fba,dd03e235,defd0d4f,72c054ba,880390aa,c1c356c9,1eee50f7,8ba567b5,86bfd1e7,f1df87e4,be26c892,d2c1a634,1904c414,bf84dc81,d65f701,efe90bc1),
+S(34b46527,86464956,6dfcf2e3,5717955e,4529f88d,786ed832,f879bb9b,5f24ad6,916bacd4,52fb69a,e8f20094,8846e706,e3cf466c,a34a7c6,b9a24df1,1d48edac),
+S(f68965c5,55a826be,187306c3,8695dbcf,370c5fd9,1a018912,ca143d8f,b9e96c07,2342eb5a,bea7b80c,837a18c7,ed606930,248ba6d4,f5ea3650,9a3aa10b,c0326dbc),
+S(80bab356,e346b2b0,511775f4,be1a7bb3,fba9c65f,5cd035e,b9300162,547e75c0,e96dd58a,53a9e313,2c3b494f,2c53bb56,da17f573,8bc90a10,58063906,52c33363),
+S(55a3ac1d,88f00e04,ec95215b,68f37594,9e10abb,ebb1928c,6cea668e,62897e7b,31b5984c,4280d3ed,125d2223,57718f54,b8e406d0,bf4feccf,2deba94d,45cfd5bf),
+S(7e0e03c3,f82556f5,a85322ad,61cc60b5,d096c684,19c76b77,f328f51c,bc5daa41,36b4f520,f84f8e1,7fc79bec,bc2d4340,e77c5b0e,4fa944b,c0cb2f07,4c5bb1ce),
+S(fbe1fd76,8dab92ec,b56819c8,901cb8e8,cabbd809,f61c0f83,70fc5697,7a90b28f,6fdb62b,d011208e,aca8f8bd,68ef539d,a6a5552b,8187327c,19c6f4a5,40b1e750),
+S(ef2a9571,ba9090ec,1c50d5e5,d8955609,2f7e7610,625860d3,c0e1f22d,e66e7a0f,5ae0a396,d6cfe9eb,7e3e6923,e7d1d925,851fa4b1,38217320,92191366,a3aa1c27),
+S(81652fcb,7a968f46,a38a6b9a,f3f6d831,577fd45,dbe0cd75,ca4ae8d3,c34812dc,bb130db,74334258,e5dff98c,cf8e72b9,95b986f3,7177c98b,ae6f7747,3d869e17),
+S(e0daf5e0,a32eb5ea,606b2760,62c8a60c,a4b476ab,b5f2b172,9a15c529,11509e75,8eecb80f,c47d33de,c036c661,e940aa9d,26bc8541,369315b9,b7552487,d32e0f4c),
+S(cf0a6b13,f6ea26b3,8927139f,1c5fe769,6f297e00,46e4f529,1c4d5c60,57dc917d,b8c731e7,5d0dda67,63c1cec9,b70cc4a7,e39a7ca3,c1dfe8c8,4a895d03,b3b185ab),
+S(a5b5cf9b,35914a4b,6af16c2a,ffb6bc8b,5228ac11,ea91da48,fca654dc,b6b8bcae,e6fa217a,42e72a81,b8f564fd,a5438d3c,5d0ce8f3,71b1d6d7,c577d70e,f0daaae3),
+S(d4c1d178,b462e260,c6b7eb43,b71dfa56,899fe5d9,a421da4a,edded57d,4a0010bf,339fe1d4,83f047e2,cf2cc9d3,bcdb8f0a,df9b491c,ac87a512,e901586a,50f35276),
+S(3d343aa3,c6bfd408,1b64d616,2523b272,ae207a5e,bec0e530,4e0792ea,3743b150,5dae9987,49073817,cc513c16,382edfe5,749a8dcc,62f4dba1,3e0c88eb,c978abfc),
+S(34242394,db9874c7,14664ff2,90cb1be9,c48c1746,d53aeba1,536fae00,7ed83a4d,59203b4,b8b3e0d,9c34790f,f9cd0716,8606cade,9af8ca2f,b77a6fae,d6e10ae),
+S(aa8c1b42,7588ce4a,2a0fb437,25a27bd6,6f598323,fd525e88,a3a586e0,d2d64a08,2f1dcc5c,269065c7,a966036e,c281d05,39d4cc40,fe42fc37,667a49e8,850fcc00),
+S(699d3ea,9658f9e9,7fc0b69,4927f4a0,bd95dec3,cf104144,8167e4b,50482c74,416ac99,d59c046f,a754a7ba,d37b474b,ae7d2192,f90719e1,39b6af6a,e2b2fc84),
+S(1cd6ac9b,93f5b488,5c06c9d7,a44ea260,11c9537f,d75f5abf,e9d7ced6,c14a994e,818a63b3,d367f655,4afc7651,7fc85fdf,3c69b881,242eadb5,8649ce89,f1905e00),
+S(297c80bf,24a78c2a,245008bf,40a828a8,575e6362,5c555653,980f8313,6ccfd660,5ccb3479,60c1c639,60da5605,4bfd8d5b,61ee83aa,d815164a,b387dc37,a44b412d),
+S(915638c5,f9d1b491,99f6ea3e,c1843d4,33b832cb,fad78dc6,ad55fd10,9eaf31d3,bd097f22,440a0c35,e5648ff7,724fe5,2163edd4,3c1b2fd2,7c49d61c,7194f225),
+S(f8274560,da2fd048,5b974537,16844970,d1c0c1e0,ab450703,739aebe1,28a7788,58c71185,2a63aac9,5a080ac1,3d786a6d,75488625,622afdcc,f5344ab2,adea04fd),
+S(94b4e84c,61fa07a8,6c35d554,816f2131,3727f614,d641f3e9,8ff74509,fcfd444a,9a30a0fa,30f3a772,747e3a0e,b0d17ad1,c029558b,a5e0478c,160c109,fd43df77),
+S(de72f827,3ecfa2ce,67d55302,9f242afb,c3ac130c,4e711a41,545edb3c,dcb90d64,3b64bab4,4141392b,76e492e1,49c166db,272e23b8,dbf3fb13,b17396bf,1c3834b3),
+S(6e7b3c5f,4bf9bd45,1c5b25d9,23fb5768,7aa2b1be,dbfa3317,db823b8b,968263fd,5f7c0be4,ba960cad,e120bde3,c8ab685f,e80f96d1,5a012993,d1890b89,563cd7d8),
+S(3e4c6252,307c116c,33f5e2db,5690dc4c,57210b58,3b2250e6,ace138a5,24a1b376,e82d521f,4b50a3e7,482ebd30,93f7ed8d,70c6dd1e,6339af4,7ef453cd,ba3a91a),
+S(99a27d9c,802a5519,3f9b767c,3d9c04b3,7c6445b8,e49887b2,55bf325c,118bd175,2cba1615,5809eb23,8e8a35f8,7d80c011,2b0b1587,1e56c567,26dbe6c6,d9a477a1),
+S(24b5cc41,130a9fc0,d694c99c,a00edba7,2c8d2a94,7db35421,6ac18ee9,6a88e99b,d409cef3,7e0fda7f,27478fa0,651ac750,bab44341,98d60fb0,50db541d,f416c488),
+S(903e8ceb,229db84f,803346f6,9db1b473,4d375dad,b29ee771,c194c1c9,4f068066,405c25cb,2ce89007,bac620bd,1e7bb959,c61fb5f5,cb60bec2,15a978c2,91c63aad),
+S(77702bf1,2ddf612,5d3803c7,19be7b60,c4dfc0a,54bfb54b,c58d2595,230e92f,dfd2bbd0,8cb1b67,f26bc57d,2b9bfaa4,7a03872,2011c58b,619794b4,c0bf5eb9),
+S(27aee8e5,3f4ba917,29f463a0,888834ec,e83a022,bc9862fa,fc5ecfe1,d082fb41,1be8786f,2ef69516,e18131be,28cfb9b2,ec0ff57,6dc75c84,5f2a7080,94b40bfa),
+S(ef967d14,d819d4e5,5324496e,868c3167,b94393ab,e3382466,44fd2b59,efccaabd,98858ad2,fe5db334,740a3bf5,fec4bad1,96d39e5a,f09209e8,95e086f5,8a252975),
+S(a2228f83,18c5fc47,1536bbb8,9baf820c,8b2b48bb,8ffbd4d5,56ae162d,bb80a78e,79e06c54,ae0030f3,a6275aa9,8897e7e2,637ed005,c6aadb63,33575232,b54b2bff),
+S(5ef437b0,d9a17584,6bb1e711,7b7fa86b,504385fd,307bcaa7,ab558ab3,d2bc5707,5aeb2e4f,83a73719,e1268a48,6a578d84,3104f0c6,86749b59,7c4b3fee,8ae5b586),
+S(35be1b54,47f8a2a,512deda4,31958c11,9b187997,66eed6d9,d30040e4,363274dd,6539313a,1d5328c7,bb389c47,98c08c05,f9412c1b,31c08509,3af720cf,6c604288),
+S(4e548261,89c3c699,eeee1560,b9876e4e,5e0c8677,f849a9f,e2355d2d,aff7aff0,49bbccfa,2a7078db,d032fd27,98a701c1,c8947c0c,fecfc1a1,38dfa387,4ab436c8),
+S(37d9ca55,6ce9a853,b79fc831,69b6778a,43737dff,f5eda67e,eba8f267,867018c,9a9ca2dc,2512c397,a16780f2,25686b51,7c40d90d,d97a8077,91be382e,86378d10),
+S(ad37553e,383b985,a4054cc8,a909af65,5daa7957,c380be16,aed94ab6,407ad12e,98e09fca,76eca761,9e3905c8,ef688726,feb7891b,3695d06b,5af5aa3f,f92dac3a),
+S(55b0a9fd,7dee7ff9,84cadfd2,fafa3f5e,30cc6fd3,72597902,c8cb9163,55e2a0d5,97da1eeb,96599624,39eec4f0,7fe182a2,cfef4a9e,55a21b1d,64a43a8a,8edbfbed),
+S(c79778d6,64e3f159,5c9ab43e,3930b722,f734079c,eb131b50,badaa53,337669e0,1dc01b47,e9908908,d318e947,8cec0a8c,37f7427c,bef205f7,9000617c,ea33c723),
+S(ce6964a0,b5fa0b4a,67385884,12d6ed28,75da7d26,dccaac81,7f3aad1d,4a9500c4,faad869b,e4e0262f,fd67cc01,a0523f98,d15d9cbb,7bf7e8f3,fce7e20,26b7f765),
+S(70f8af3c,f7fea8de,e62a3ec4,770828f0,52f819ca,e031c9c9,a0706d0d,b4d5751a,b4c4a600,6e4f831e,c4bd750d,62a52d0d,57399b71,ccb71f6d,c00287b1,67a1dfd2),
+S(11f0d683,9f28915e,24d941e3,7cca8754,bab9a8f4,96807679,89300b02,8e79a041,1adad681,9d726c2e,2bec5f69,75ad8a4f,c7209872,35ea7486,2ff38333,2335a647),
+S(36a0d630,625c455,5c8b711f,a28e2d0a,4ea34f6b,c81ac8a2,6861d58f,ac3bc9c0,89c1e59a,fab4fd9e,3245ba79,876404f,b4cdc7a6,2a9a90a,f307a8b3,17453467),
+S(791e10ba,970b964e,db48c4c,fe698317,fcb64bf3,db8418e4,86c45e6a,fb0e1819,e9ee5073,73d105c6,b7012ee0,ba60b9f5,89d98773,f0bcea03,14d6f707,7746669f),
+S(cfb370,cb6de70c,58c40464,c20c1cdb,9850be9f,ad9a4af4,2bbeb6b9,f173725,3f5bef6c,814390a6,c99037da,eb7fa919,7e9c806,50efc919,6650a42f,ae425619),
+S(1d5b7762,bfc3fe49,bcbc3176,158f186c,f909c04a,31480b17,2451acd2,8024321d,ad60b8cf,215cdfb6,62a29985,c9f185c2,19936929,b9cc5911,4cf5329c,44ba080b),
+S(304bcf43,342c9d7f,fa8e05c,66cd140a,57c4f58,d223a1e2,6b93a374,7c73882d,e250d896,acc87906,b79d9ca9,63246ce1,9ddd44fc,4e834643,f2d592ae,219f9767),
+S(60bc17e6,9cebe27b,b504d28a,b657064,3bafd4b4,2d82e3a5,77dc8c5f,4a05c4ce,e45ae47f,6088f05e,f6709166,9f608598,ecca924d,ae7ad37c,1852009f,e23912a1),
+S(cfa64de9,ee4a849a,de71b1b4,340b8d18,1341d00f,e86bca01,3d62d800,3e20454d,2e72bcaa,1967c37f,a8f8ec78,b82b5f6d,3c7d0136,28bca50f,c884825a,6c967e92),
+S(400e67b0,bbefc4f0,7aeaee57,1c495584,de4e7832,377bf171,ee3e38a2,69e53d73,762d4b13,f91d4e40,ba0a3fbe,3c085922,3386add9,b8b1c432,88052b9e,cdb8fa3b),
+S(fd3ebc1,e1c751dc,7f897ec1,f0ae0817,22136109,11010904,6c105497,47602cde,43699e3,74af29c9,692fed1b,acfe00c4,f2d91908,eb7cc181,7c270c76,453343ae),
+S(60a18f0,740f1caa,ea056b17,9808ddc4,aedac1f8,482bfeb6,a97516e5,d84c0a30,6efbcdd8,114ddc58,cfc193c7,f11ce4f0,931b3f56,4290253e,a5289d25,7e7d1350),
+S(c08a77f2,b9bfe746,ef89631e,1bbe07b8,5007d1eb,bb18547,6d7f8f49,4283e1c5,6a94da87,4c350d0b,cc23ac89,9d342752,97421c77,d7b7293d,669cace8,78121770),
+S(247f8ba7,b8cbaf03,2358985d,955b4ae5,673622fb,ce1b68c,877db077,d91fa63,a180777e,3b8b7d6f,733d0565,b038b345,d598a9eb,1d592949,8463940e,99f7d74b),
+S(18b7101d,a65cface,68d7ecea,5b926eaf,79722f9d,5962a86d,e1eed6be,ca08e4fc,60b7377d,eb39da03,f5bad331,f41586bc,6e3bfff9,f7c9eb7f,aae6f7df,8869f7da),
+S(4f6bc39b,33d45e5,325116d6,f8eeb341,d15a3f40,57b64775,932f9b11,a92e1959,1cab1c18,422dc38a,e1a8d4d4,ecc84748,4c47d862,42ee4dfd,28624a72,bf693433),
+S(45ce69b1,cdd90a2c,a14a2f87,b12d1f8a,7425935e,2f2ecd5e,6f25b087,acc4ff2b,3f850036,ead34b81,3eeffba6,c3b9dc77,8675152d,f569bc28,d4e74539,896f4b34),
+S(8ef39f34,27339934,a1b969f5,b203d187,2d3c467b,1a25ca0b,d59b385f,d78d0cde,926604a6,8f82a4e7,a7e5507c,e1f1730d,c43f9a10,bb15bc15,9d8b940a,7403a5b5),
+S(cd83545b,fd621045,245390b0,938c12ed,d530949f,6ebf0e5e,90ca8617,637d2cdb,ec79aec2,77d9b2a6,1721b499,ecde68f1,44faf32a,7984550f,54fe9208,517a0dc9),
+S(95482d05,3fd19bfd,20a218d,82442cca,89d2f1fd,883300fe,9898e7af,3e1e7c3f,233aad3d,c798660,1aaa61ce,ecfdc48e,9b3e09d0,76a14945,eaec9d67,60713743),
+S(f96fbc5f,eef4ffcc,d5c8ce74,a390858c,24cdb060,529974f6,fb7a7afc,759d7684,d41bbd7f,54c6ba72,aa64996,dc8237a1,27d767f8,ae4ada04,26879426,6343d663),
+S(c31f5733,a92bc02f,28aa1abe,6dbc932,96ef1980,a8b876b4,941aa05f,3e4415ca,cbb9afbc,166505de,b160f3a3,fbc99c6,8b9aa548,ba80b83b,e70700ab,611d6bed),
+S(e710e709,b2d1abaa,ea81e54d,4c913029,61d058d3,4aaa329d,bf673da7,6cc50f87,e6078cc9,c093a8c4,804ade7e,a2bd8f74,78b93dfe,47cadcdb,18be11b,dd450acc),
+S(3209825e,8e6a7a03,cbb96e9a,cec60e29,fb3d2113,310a5f27,69c789d6,fd2d0ea4,4a1b86bd,fa71c5ee,fb640c0d,2fdf6941,42790350,a48b7189,41cded36,e6627117),
+S(d26aa999,c82be0b4,25268242,c969c812,7160c34,8d61060d,2cd95fda,4ad91572,193c9343,5ad89189,37df995,5b8ea66a,5f81fd49,aa463d63,bea7e793,d7867078),
+S(f505f201,a5f0a8b5,420db5be,304e3824,5552efc,d7736f27,a70d63e0,846f7a05,affbf297,4fd36a6d,45cd403d,e620fd5c,24ee5094,82f03dbd,4ae8d1e2,8047e07),
+S(e81d7da0,665574cc,11b5c7b7,c7d49ea0,e12e5a31,d8d4059d,e589c87f,8ca189de,cd36628e,f84c929f,bd057c9e,9c429e0a,28562415,7a1f718c,5f6d9c6b,2402a25f),
+S(d183676d,573926af,6b409350,fcec841a,9d7450fb,2c122dee,dc7f061,8ee870f,4401a6cc,1b298b4b,b7069ca0,70452571,1406bdfb,8d991e0c,a252461c,155a37dc),
+S(7d8eb701,a4555db0,e28755cd,b99ec00b,188a5fd5,aba9fd63,b0fe59a2,e5f69621,26dfe0ea,387948f4,320a99b1,79cbab72,e0e7b4d,dd91023e,3ada4706,b1e14de1),
+S(62b18c1e,6b41494d,242c807f,aea4cb90,6c369829,bd480aa1,51d42ad6,f2ab6e16,806a683c,ca4ba62c,d0d7210a,2a642a97,11a2c336,2cbbdd40,a14c49dd,7445157c),
+S(3beffdc1,3d43053,e4975be1,2212ef06,756e420b,28c1da19,7f719140,40754d83,19f74783,30213117,c1cdb3fb,c500423,14c36c4,bb0b6073,504e29d3,2a7a81e2),
+S(883c1fc,6c1e9ab1,f8728eb6,7e3c820b,bce57c8e,78920acd,88c56b69,8e21b57b,a6ee80db,2f153833,f397e1e9,f7d0bd3,b68e3a9f,a83fc262,88a3460,241f30ff),
+S(cb54c3f1,d3007e9c,a6f4c7de,7cd6e728,22ed6627,3d64251d,23df0352,ca7f3f56,aee4eed6,3bde44e9,132e8405,c088e412,c8dd4856,9be5a980,adf9969,261282c),
+S(40b26863,67d38ed4,ec41c0f0,b8393698,969c98e,e3233fbb,b2c9fee6,14fc52b2,9f3c3a8,44703528,e8a3d025,d536832f,f17e0988,4e90a75b,82705e61,c5b4f811),
+S(90431e86,74d9685e,4c91e51a,a897fd1,b5aee499,7a8c7405,508d77a7,d0d742ca,b35bc817,b63059ca,8c21e0b6,f3c198b5,ad7f19d3,7711d02f,4695712b,e8706df5),
+S(5ad701b,3bc26c4f,cdcd7882,71d259d8,1d134c0c,53063b21,c740d7d9,9c235474,615f2956,b5056865,3103ab4f,d53a1e00,49bce03,db115d5e,8dd36c11,1615f997),
+S(75a3782c,51dbe62a,f9da5199,17e3a59e,b04511d9,f11b7312,7dd35b8e,6da95cd2,38061610,c0052d14,bfc4ef8,62d92a5,d59bca62,9fb7a240,299ab954,8ae21484),
+S(28e60b08,2edec9a6,1fdabde1,b65c2e0a,333b5b2f,2c8cb97a,fc20ccf9,13792765,c96cac7f,4efb4633,8d63ddd5,33968f6,d09f074f,28e3c57e,dc868e7b,df4105b6),
+S(7dc515d7,f7f20959,7e52b182,97b5933b,2ef9ef30,38e18236,39f6ac5d,214762e8,37738e78,9222d0d,5d7e7979,19b0ce29,81b7be24,abd4e0f0,8b989500,a348218c),
+S(a8ad8d74,cf467d29,a97690b0,a1c539c9,604e5bb,77d4f719,fe1b7507,d51215d9,4180c361,21659aa3,fa84ca98,8676b3c9,23639184,ee991576,3ab9878b,558fba54),
+S(6a71e2e7,99f1c56c,e38052c5,767ecb1f,85c2abb0,55832994,18417a12,9bae566e,481b3cce,208f33c6,6d4181e5,7648061a,86246ccd,31f92eaa,6200591c,1662b7cd),
+S(78d0ae79,7a94ae5c,b338574c,1bb635bb,3207b491,fa42e6fb,7c861eba,ddc195dd,1d9e9cff,32ebca9f,d707544f,ead5363f,15a9af8c,e11d8036,49c6fd8f,cca067d),
+S(1feb4e2c,357837d3,8ed62d33,4cba95c3,54ab6bf7,2d9f1007,b7419ecd,6bffb072,8e096dfe,15e187e3,92c4a26,2b94d5cb,63fc4cdf,f14e1b76,33d40946,ab074a45),
+S(e9a3ce53,cb11bdd0,6c0be1e0,848b94e7,ef68d881,88069893,2facab4b,d19b2344,878838a3,d85a38a5,60a45847,20d8ea0a,34cfe7c1,6b65f35a,60b766f,d77d5fae),
+S(2043c86c,4c96437f,f96ce0fe,ab5f428f,76966c30,4dbe6637,397d6b35,730e73d6,82eae267,3e2fc564,c128723a,b74feabf,905218a6,6567ea0a,4cfa74ec,5ee7d22d),
+S(d02b8896,63ada221,3e6b458,7bbaec0a,2b1cd8b3,40a815e,fd9f3e36,c782727,c5c4cd5a,4bbcf08b,e1b8620e,24930490,c9f0d61f,66ef0c2a,937e2077,b178f8c4),
+S(345b51da,c452419b,6cc320ae,8222c72b,12073fc5,a77ea07f,fffc10d8,61482094,5a0406fd,42916840,8fe4c276,bae94cb,710f6cbb,994da133,932c9d7,cc73242d),
+S(275d0e66,da342f04,c9cbd00,18219dee,1a42f9fa,418d0a55,3f98b88d,ef845ce3,3fc25f10,74ad90e0,4ff09d42,204eda1e,a63fa50c,152cea14,d322ae5c,2c4f6dd0),
+S(64709e5b,8c4eeeef,9b92177a,b4a04de5,f0150612,c84657ab,855d0145,ecb3aaf,c3b0e1c,56a5a00d,868f2a1e,35a40b0a,9d6b55d8,2df87d15,95b1890b,8b9a3a94),
+S(64bb29f9,5e7f48fc,d436891,8d527785,2ba8a6bc,f2e1df43,f7dc4123,ae2b3be1,1f4a8fec,eba87217,3cf8bba3,bd19598a,ea1c8998,945f5b32,f1f52d00,8ed1355b),
+S(6f401b0,2e10c301,27dcfc91,2e3a3396,93e8d2,f392507c,338dc113,d019e520,d9a59488,ea1e613a,99bfe1d9,dbd36a1c,3b65ff90,fe8983ce,9665ccbe,1108073),
+S(3af33a8b,63b062d5,30b7ed95,c9d279c3,7be8e95e,6e173411,9d354814,b361abcc,4a5f16b0,b6ac8371,b2674adb,933a7f62,d22c6133,1ccab67,e6abbff8,66124fae),
+S(a3feef6a,34754c7c,d888e898,bfe5080d,e3669502,d5ec3fbd,ecfb2dfb,8853fe54,a3e7e218,6d88e82,f600be21,5ea5bb93,44a6e10c,464e5f7f,e1ea24a0,3eafdcfe),
+S(2e6f36d8,910a303f,c4c93cf,660c31a7,ae7b2ef6,c2ab5cb,940f9623,e2de83ec,3ca98ac7,a03b0b11,1104bc99,d693d068,7350c4bf,f911c183,1848bdd5,bf35e66e),
+S(5d7cbc21,3016b19b,2dde662b,a677902f,cfdcb91e,25dd62ea,583b6375,1cdb5aee,871c5aa0,d44c404f,b42badbe,a9b99a43,29db7694,47b93d92,bf5dfdb2,648f4677),
+S(383c7ab9,6e772e7e,47b01559,ee3bd4ce,9b86b38,a6f57968,64e45eb7,112fa1fd,254fea35,3ab6bfa5,2018668d,9f3cf2ba,bdb4aa59,28bd6a07,852c4b4a,b9bbda6c),
+S(96aafbb4,1d6c96d8,72a6a577,13b25b75,814966c,ec1f0162,31b74dd1,46322ce3,bdf9a817,4c367d1c,51d4be31,70cdee51,a937445e,f19c1c10,52da1f67,e9e9561e),
+S(4700205b,e431bf70,6728bf7d,16172589,7d104107,5153a9d8,7796bc96,49d479a8,4117c528,9d404239,97f67970,65d3a9dc,6b3f8c13,1008489e,6b23a631,6f86551c),
+S(f81281d6,7377a69b,5ee7c680,744ea61a,668eb128,dc404955,f541b0c,e414b37d,e54bd7b6,783b6888,4bc72551,1e97c5eb,ccef5049,a28fa13a,a15232da,eed7e23e),
+S(d898d15c,276b3b92,77f39c23,93f60540,6a7e201,443cce6f,d873d8a1,44eb5a,5785dd47,80f67f3a,7efab06c,bbb1044f,98d4425b,b0f1cc99,3b6b4b2a,a5504d4f),
+S(56297c68,51dff96c,6122ae9a,1cdd2ce4,b1aef6ed,884e5998,28c77de5,eeef72d6,4f2494f6,5ebbf2ea,acf70249,f543c97b,add6f6ba,3b152b22,2b371a83,2f8664e3),
+S(1adf1f2c,a5f3c153,ce8a6dfc,c1a5a21b,d98b99e2,135b6e8b,494c6ba3,2703822f,13fc7044,cf6c75be,ed84aa6,bb1fe11a,9f36c562,5a152c6d,81b373c0,42bb99a3),
+S(f42c77d3,b6b36250,bf4f535f,27c00c8d,61b5ed76,d4928138,cc0e672a,7c72851c,3700f507,c90c93c,6fa6648b,40df90e9,b3292356,4a9bd471,4cc310f,e48da924),
+S(17aee799,938d30d3,7edb6b8c,19d4d0ad,86ecdc34,c4b7d504,9d2b3b9,3e10cbf9,2527fb75,a787f794,a5f06a55,c3b33f7b,c575948a,c5454bdc,c14c598f,34459647),
+S(55acc75,4a188608,46ffc6d,a6e3e2e1,18cad61d,e508d333,784fc716,555c98e2,982a4306,65448652,14f42c31,18e3214e,3981529c,422a0c76,d30d45d4,777aa87c),
+S(d06c7e99,dbaf0943,6a6790be,e7487614,95ace755,448580d2,7614a30f,9bb7b5f,a6958136,41f3025d,de7ffc89,689b385b,b3c6ab83,6b1f21a,28e492f,de7a6fa5),
+S(905423fa,3f9bd590,1a502d2c,7d4ac0d,2f728dac,3199db44,b35362eb,c964c8b6,1c33ef01,ffd75d94,bdd523f0,a41d629d,bb5ccf7c,9305d309,b3ab0842,16cc81ed),
+S(8e799bdc,f32e5256,218dfaf8,5d08b6e4,d083975e,5ff2059f,c5b57966,3dc8cbad,60d46f36,c0e04600,bee76037,3af3196b,78b0957d,7cda51db,f1ff0c8e,fe6454ad),
+S(653174f,8da924ee,322a18cc,8dc1e89,2ebfd90,dd1ddb95,6cf0646b,1e87ffb5,ace4b278,27361b77,59031384,57d0df70,9756272e,2f9af74f,55651c40,db5c4cf5),
+S(77569132,e25d0051,b81f7692,d46faa9a,640e7d67,30cbb6b8,60078810,5267336c,15b2a80f,d78fd28c,d65d1e4e,4e81ef8c,37c8ae46,e66ea794,b60a0e87,f8203d53),
+S(ec162da5,7ea2e308,183ce06e,d2fbff2b,3ec6e70f,e9d8ee2e,a4861160,205e506e,597cd367,d22409f5,b5737cd2,f1878b7d,c5d73603,3470839f,daf2d0a2,1b1a6424),
+S(dd4a71b1,70f06062,b476aa37,aa025299,3d6d5020,a30f56df,6f31bf64,5633c6cd,ee4544c7,866617b1,584ce6bb,78627918,7222b0be,77d7ec4b,21e842e9,32c8ed30),
+S(39ea945b,1d56a29,bab310a1,194f2e20,e13af9ba,5e37cd5e,d24c7203,9f4805fb,b29aebd6,9849c35,9dad83fb,56774bd8,3628f423,b724efea,80f778a8,370240bc),
+S(bc774075,cd344d6d,a2f00112,3201bad3,bc52199c,b099441e,1d2beffd,16c13ae6,9e2d4f9f,2e019b0c,d3a8f248,31780f74,16569a42,58ac8f07,9945e179,c087959e),
+S(de53be6a,6ee4fda9,ff2f399b,ae8b36b,b8331c83,c76756d2,3ef734da,57c60246,335c66f3,7472e014,3831d92c,bbbbc826,9046105d,64bde79e,108e09d6,b3f6f23c),
+S(6cea6faa,a27557d9,d4561e57,ea755ee3,3d9f6905,36f91ed6,da93267a,fe758b88,e187e21f,4b67e4ff,7a285d97,1d42080,12638b5,ff88d4f2,ffd5cafb,6860a928),
+S(fb5f6a80,5875c22,f2b4dac3,9c0a6f05,849fe524,586860c0,c3f9ca19,8091045c,6bbc77a1,f95ffef4,2105ed15,1ba96fa9,688e9e,cbdeaef6,81394b61,a4cf8f1b),
+S(79a6afb,7ab3b569,e913cf30,72ec03ba,82c4aa4f,6f90be32,354286cf,52350b8a,32bbd09c,7e512933,eae14a47,fb940fd4,c60c3cc,c27b26b4,4588b278,6eaed993),
+S(bacd7215,27863177,9a1878bd,800dfc59,95041824,3bbd492f,98ece53c,454f8613,f6ccba02,47279a13,371077d9,9d8e5e19,6e0c8f28,ee4ff9c5,21f2e928,c8a8dc1e),
+S(15820a62,6c489416,14856974,18ebfae6,a7148dfa,895caa28,691bc056,c0e6bd52,14de4c03,8ebb058c,51b82407,1c58cac6,1bf4d105,e2f1bd77,419aa4dd,168d57bf),
+S(9bf21f25,14f78ce3,5bf4ee31,334882ea,74106a98,bc5f1a56,d7de831d,8fc007ad,66962819,7a38b3d7,9af6dea6,e4d0f9a5,c03cc43,20742d2,83cb6573,7972622a),
+S(b4c70aee,a8a836bd,cb3ff409,d0ef44a1,ee4bbc17,e93d233d,f4fbb081,3883c0db,48f35a4f,c9a9deb9,a454cef0,c0a2fe75,fa23ddb1,d1a2ec6e,2f16aa92,59bad8b4),
+S(56d682aa,9381f1ae,4f356230,1f2f6bd7,e39f3e1a,1ec7eaf8,4894bdd9,78489b47,6c95eb11,4fc24964,b9bbe344,bdc32627,ccf1e6b2,b7ce8ba,e466c728,d348efbf),
+S(7c7a9846,11fbd84a,9962cdea,1aea4ef,3572d15a,99b1f3dd,7676974e,f797b377,c1372815,d6ace43d,139a57b1,d37937a6,2f0b56f8,bb24b48e,a42aeed0,1715c7fc),
+S(a89c7e,16838239,fdb87872,6c107176,7befb82f,ecb9e14,5768bab4,b823e2fa,957df64f,eba5b191,b6ef724c,18a1c874,75728177,682311ec,d709cf65,5ed37dc3),
+S(7fac1495,4974d3d7,ac54034a,b497ff66,3f6cb327,506cb906,b0fd3028,f85d3dbc,a5c140ad,9a1bfaf1,ea578aa1,b14ca9fd,49473ad6,32300652,1f7e434a,dc45c4d1),
+S(1e3032ae,8406cbda,e7bde21f,44a6ed5e,feb5787c,18c1ed16,1892c24,45294cf,a73be032,b2e98fa2,5fe054b5,d6d30081,b6b331b1,80124e8d,d85e2fa4,c69666ea),
+S(abe408a9,5079597,bb9ab65c,852a985d,65391aa,7de247cd,76b44a02,67691d7d,1df3e191,219619ac,79bd7808,b5166a62,29babd11,e287989,65e15651,8472e8ba),
+S(45ace807,55779736,65e5235,1133622,9bb6d606,6b5f09f0,76f5f984,51322f4,da7668a8,b0906440,ab68c7dc,41602d25,4bc05a78,f5a4320b,1775331c,537f3d87),
+S(2ddf9c36,4dd4a1cc,c3582ed1,e44c0b21,1644c44,525f9641,c726afb5,af481780,cc3f4d02,36cdea64,cb350d0b,9c44d223,ebed2cb3,a66f44df,5e296ab6,41b61679),
+S(41818580,a97d4a79,f6952aa7,db37d288,a40bf8e2,5328201c,284130f1,216868dc,4d6212b,47944485,c4e2c4ef,b556b856,2de81a46,89f0401b,2d7ac123,fc83913a),
+S(905ac526,b7aa8986,1b2cd233,16455338,fb0310b1,adabeea3,a8e66fb0,5d2b7c50,f166e203,33ce73bc,df2ae289,9aab8004,568f3af6,381f0914,1d980155,7674d7aa),
+S(89b95280,7022c368,d05f2fd3,10a13a24,1436909a,6695c999,f448b2ea,2be1c642,8d450758,5f2ff980,3a74f447,8a403ac,60c4c28d,54a77556,89748c58,f1efd1fd),
+S(d4ab0d06,df52b5d8,9cbf1c74,9d25ac32,9abdc525,1d260933,490a45a8,bd5b0eb9,f5991ea3,6906dbda,efd4c6ad,6cd36380,9b978396,765c5ffd,f538091b,b25bf652),
+S(aa3327dc,8c9232f0,48c14e27,fd235a6,58db506e,7de5e2bf,33edde07,38109ed,9dbaebe5,644b9728,23539091,56551b3c,540d9c85,3fda5bde,725fb89,d6bba192),
+S(2d4b4ef0,3699faa3,a519a0a,72ea3ba1,d2f43f0a,c22a13e9,3fef213f,48b1773d,e6720da0,40eb745e,f99124f6,dce35709,2048462c,5623ccd9,f58fb739,e2314fcd),
+S(fdb1cc8f,966c7bc6,8d264c56,8066a106,b102c741,11e40514,a2521dc5,5ecd5035,541b7302,a6e38776,30b178b4,b692ae76,3d59b5c5,cf5e5bfe,6427de67,c271dc27),
+S(9a711c07,1b47a858,230c5111,5622f83,44808f0c,ed08c7ba,95170a83,1139b5ac,3fc4720d,1e63f39f,f4170950,78a268d,b7f9d911,3cd8bbec,6e65696f,e7e3e44f),
+S(aabbe7fc,608871d5,48530bcc,44006a66,319d002a,4d0b49a2,d9c6ca4b,ab9d39a0,2ab2892b,bee509ed,8f221a9a,4f9be9fc,d9d3a2d3,3d7b54ad,383064aa,b2eb9465),
+S(238bf052,fa44eb80,3ad4b6e,264942b6,da3ef420,a6c2f113,b2ce2020,9341d0e2,db6d37a1,47552f6b,8f6ec7ba,7554d4b1,49ff8372,2ed461ac,6d5d5a33,90afb0fc),
+S(b276da77,f35f5a18,30ac7277,230b70de,1359c3da,c8e68155,6862a37a,6bea9fcf,8b2f05ca,cda2bc01,898d45a2,b9b20bc9,380d3beb,c5f0b346,96d4f4fd,8958a1dc),
+S(5a7141a0,afda71c6,a3e8eda1,83409a64,e48fafdd,1965c00f,f711f7bb,ba1625c0,34d782c5,18ffbf0d,c6f9b0e0,b8403cf3,14cb817d,3e84a7f8,63589aca,cb44dbb4),
+S(d186323c,b93ab6a4,b435154c,8c5d094d,51a8aa5d,586db604,d1fddce0,f35fe864,65c383fc,ac4a0450,1d483bba,62a1ee4f,247aaffc,7f7c790,eb4fce7b,782ebd32),
+S(908bc35,6d29a3f5,1684bc27,72bfcc5c,552ef35c,a2fe9ece,f08111ec,8c368e7c,93fd8d48,6ad5cdde,c7ea498c,ba825468,caed6c4e,ac1c46bc,43411f3d,de9091b7),
+S(21e05a2c,6ae8e1da,d9e4d553,3841c89,2d24f91a,aa201b95,f5f3a25d,d07231f9,d8cda13a,c6f7c54b,abcf3096,997e59a9,617b806a,1d805a5b,9d5d8621,d37a2505),
+S(224de404,5c6b241b,4b705523,777dc0e0,dfde304f,c6be8077,cd831d0e,c738e33,bf8c695d,5ef0b37,52c84199,d7ebcfa8,d4988d32,f64a79d1,f0863ada,b6f84804),
+S(3fbed77f,3851705f,55eac28c,f3921f23,c67a44a6,3d2dfd01,89d78835,d6106a6e,2139e1c6,4d48a58e,24306471,6bdd7098,c7644018,966a2b02,236b64a8,e628b532),
+S(5adb241c,b09f712a,b5520909,53114781,388a6f2b,66218069,d6f5c758,1e4edb2a,9932237d,1be0cb9,2d18dfcc,6ccced53,e6cfee60,d897b6c9,b40c3ee,2b5cc9ec),
+S(a4396528,ec7f9a,cd8550a7,7245eca6,117c4e8c,c50a51b3,28063d68,a744d7f0,efb8924d,7f921890,71b1366e,e8d0b620,af274d45,56f2d992,ac709d71,9f5252d3),
+S(e36dc303,56a9e037,c9ececb0,764aa755,e1493e23,5ddea3ac,44ed4caa,4fea7bc7,338d5c5b,f5a84dad,5e865696,2ed14c15,70d4eb8b,89fa60a9,973921aa,dfd44353),
+S(a6c6c231,238ab32f,361743f4,5d337eab,4a529a42,dc45f1c0,670fcbd8,a0dc22ae,4a3433e5,b415460e,4816b9c6,c1db0657,58aa6279,ad4f47c2,a5f07219,c50d00d6),
+S(df09e277,b56e0f7c,2e93d8e4,d47778a8,3aa32c99,b0ac74c9,d64ffe8f,5e44b900,b77cd700,b6027f96,9c80a4e5,a2435750,35ed890e,30fdd9af,b41abe4d,81de4e94),
+S(803abc31,138b3d57,9a18a580,bf0520e5,d9328812,14f5587,e49371e3,fe03b02f,a270bed5,2ef7cd2d,4d5cdec5,9d92c980,6e700c33,a487b4e3,f507332,99b54aaf),
+S(ad15ba0b,c5cdcb53,6b55cb2f,171d1db0,712ff30d,b10d05f8,bce4d70d,22bc0bc1,fe7faa5e,1699e6d0,1e31be29,b5770756,fa6485f2,f3077f82,33789582,bb5949e),
+S(85cdfde5,65959eaa,d025b6a0,1616b7ee,8f710833,187243dd,1103a0ee,65031993,facaf5d7,31fb65cb,f10dbf78,70ca3fc6,68a0581a,4eb73326,15d03f4b,87b53204)},
+{S(9705d56f,f75c7d2c,bacc47a4,a6cf8b10,300c688c,fdbd1b1,528f41b9,652d49fa,c53f7f11,896f2edb,fc957dd7,2cc90856,c5df9d86,43e42489,70182843,84201b98),
+S(69db829,eba841e5,c2a1d54a,7f8857d4,4e898caa,fc8d990,eba45c75,9986958b,6b5589ec,635f24b1,4892d895,c56cadae,635de22d,de7b5b09,43e1c4a0,d83f0120),
+S(4a8da056,c550978c,725da71f,6cf59df0,e13e3d86,b2255f10,827060bb,9af50961,abc04394,216df6bb,1052db88,e23237a8,13985857,a8048c7a,51787b4,ee7913e0),
+S(775d4538,834d66c0,d41a5627,f2fbec9d,a5ec1e12,dea8572,7a32413a,5cbc3612,2c423943,5281901c,6e6665e9,d98655a4,91477e73,fbb3874e,7793a3b5,4b2ccaae),
+S(b9eb2bff,b24696e9,36393471,a13ea71e,7ad68377,e78b9eb6,cb40d9f2,7da4632d,c54bb96a,383df77e,a0d77c53,ae2fcbaf,ccf53c73,99e4ee2,faeb338e,8cb40e8f),
+S(a8aeb77d,ddeac4b2,71efb2a9,4f44dc31,9f32a0b9,7a1d0e67,8b4bde2c,a3a59233,8fde1a77,e2c76aa1,b5ba70da,dd37af0d,d98115b7,f17d26ff,ed936a7b,5803374a),
+S(16f1cb1f,1e8bb14f,b475b130,ff1d0ad3,167b9249,efb9fe20,b31ab365,cb92fc60,9cfb2bed,8c1eb7db,6bc1b7b5,baa88916,b8f68fbb,d23be873,3c54c038,3ad0ac4b),
+S(64563829,eaaaa500,c57bee41,f356b8c2,fe7c89a6,93ac0fc7,35044ded,5ae6292a,7298e685,c9bf4faf,bbd527f2,7620ae5c,2c3a342a,4c8d919a,72afcbbc,8b53a50c),
+S(614092fe,2588e655,484871f8,3479d350,319b21dd,511e93bf,db81f898,7b2f3137,d10cb0e5,1201122e,fbcb3788,133fc545,7b0a4569,b44ac629,31421019,909adfbf),
+S(e0b693d6,60f49c41,d3dbe7fc,51fba3a7,744a062a,46b57b8b,36504e9a,1585f5ea,21cb0611,a5014796,a744a507,2a4ebb2e,41dac48,87bd660f,e1f14a39,819e8c5a),
+S(f3ee19e6,d27afdfe,a932fac,72f25828,a6f52c1d,671dd85d,3db0426d,74b8439a,d7c32438,6b62fe7b,fe894468,aff8262c,38bd0eed,4374c9f4,618d16bd,e2925874),
+S(fcdb259,b019b7c0,ad0b2e93,f07a89d9,e26f121a,7974944f,85dabfbe,ebac9359,883cb06f,fbe5a647,60711b8f,d99783e0,4f59cee9,31d5a3f2,2cf1d692,894fe4b1),
+S(bcad7844,a44ec239,dd113ada,7acf73e8,6271c920,72afb585,60b0f002,a09a539d,428f8d0d,529add2,73ff3728,83f92160,940e71f9,c0a06da2,3084363b,a2586edf),
+S(8d54b2e0,f4083478,d6a2ea0a,1416ea8c,fe176621,30e2bb28,fb733656,9ae4ca98,c6d6ba83,fd780d91,ecc8016f,841fbb62,1726fda6,5840f183,7ad17bc6,33106a3f),
+S(c9513674,d582a1e4,d91f6ef0,55920a50,1fc230f5,e5bfcf42,8c1b15df,d7f3a8e9,d01c55eb,4d685119,8026badd,3425d4a8,f56e7ba2,6c306b32,5686e279,81aa5cb9),
+S(51268b15,a1d43b33,b95e92e3,cfdc7740,679cbae8,ff6a36e6,1da3a34,c8eba7ca,19699ee6,98d95b66,95e21f40,64421d25,a95aa7b9,9eb7ff0a,69331e34,c24952ba),
+S(7b46c85d,6364fed5,87230ce0,9e932aca,ca356858,1ecdfa8e,f9b236e,1ee7b671,edda0f22,6808b01f,2bb5df80,2c9b613d,469eda9,e90be70e,4657342e,67519cde),
+S(bff9cc3,b68413cb,9f9eae8d,f84adfc4,563069e6,28ff023d,6ee3cfda,8f97a935,651a2d85,cc10831f,f1571320,500415b7,24f232e3,30f47261,8d482924,40259e9e),
+S(b5370f4e,f8b3af3f,3e936c34,e7c8cd89,21d4ecc3,7e5a5c0,a205fd37,9abc0aa8,6e889dff,6350f4ec,c3a413ed,694c1ae3,367d463f,be212a76,bc2a5a4a,b59bb09f),
+S(72623c52,8e665a8,80c31e78,88b5777e,6b53f02a,6ede4aae,f2ed3bc1,ed351d42,4e2c6c63,c762652b,43383c13,806162dd,1992bbdf,88a3c714,a5f29522,a0db689b),
+S(446e4144,8f66c9b,8eb06f5b,e8fec592,9abeacb7,befae28a,cae5091b,798d4f0f,62da012a,fc3d4eb3,4207db5a,8579c581,6a8b1543,b201e1f2,90b413bc,a57f7306),
+S(428248b6,49cd424e,12b81504,46443a3a,b6e921cd,79e9344e,4613c653,7d0fc039,864dfa6a,fb191af,91286054,ba7f09fd,75e3d661,c91f939,ef834325,aa26703f),
+S(c252c5c4,13e2a430,18ffeb55,355644a0,15e04cec,31424a41,9533af9a,eac0b688,c37efc23,26a2d965,9563b7cb,cf0953f8,cb3ec5ee,3c7ef263,3a6389ad,eb00fbac),
+S(b5feaf98,f617055e,b976f63d,55901b93,7e63662c,5b6453a5,79a0c905,c951c037,5372b044,fca66887,566df1d0,6fe0aa12,d8405f84,529db971,a6422820,e6ce7f08),
+S(c628a5d,72550157,365031d4,fe16f6f7,94636130,94447c07,e767ec63,8d62986b,539fb7a2,9bd686c8,9e98a1fa,ba95a493,2650b98e,f92198c4,534e58aa,39de796d),
+S(f1d0b5f0,d6e30201,2bb50ede,eaf78813,f0a72315,6ef086a4,415e2d97,44acfa73,cd8accc8,fc951f05,5409599a,6da7e5e7,beee325f,2a7466f9,9be63efd,f6d9416d),
+S(1d46b065,ac7fd9ea,5771363,dd2ca1a4,cadaf6e7,8e93a037,87aec58,af30f179,f3518f13,c9aa688e,7770d0a,d4dd505e,a22b4430,402ec3a,664fdf89,e9b6e752),
+S(2bc0409a,b43950c3,16588fb6,51db2509,a66b074e,6df5d35e,a2ad0fa2,1dc32dbe,2a6df1c9,97bdd5bb,c831d308,d292a30e,68e1dc03,c16ef2a3,183ea616,b16a2891),
+S(388a72ca,cfb9856d,174f0937,dc6d721f,63f915a4,6c2fb4f1,1b0cb296,8390109d,2f70bdaf,ebff44d5,b7f6ec79,48184e57,63831421,5dc35d40,48e5400b,dbc84d5b),
+S(5404f49a,61865863,859fd7d4,2f008480,e93d8c50,3654525c,38c09ed3,66f95640,71626266,fd861532,a73eba6b,69c6fc4e,2c727ba4,b10e6274,821f3b71,fbd3ab2d),
+S(eda6db04,9e8ec72e,c224ebf8,417f2123,8a50b2c5,b149d4f6,2a9bd2d6,78a0f67b,b016fd67,fb3f3fbd,7e53c210,94795570,7ff177e6,38f5a8db,74847496,5618858a),
+S(3b71b31e,eef08efc,571669dd,c4deee31,e72f898f,5c83766b,8e58db66,e0c6b4a0,8dc3e307,4780ee6,b8122e3b,d6137998,1c80b72f,66f9f3fc,46bcd11b,a78b821e),
+S(1ab86db3,750a687c,39c7a672,c115c29b,1f8f4ba8,586b9957,6b6b1894,7858d52,f60a122,80e05d3c,cd0cfd97,e1029cb5,728ff2d2,df077af,13645402,51412618),
+S(eaa96c50,98e79e7f,27b3887b,39a6f74c,983eb44a,9b9fb7f8,e36f4582,596061a,4da962ab,c183ec56,5e37b1ee,3f75c531,3be12425,df54b4be,e4510b45,a84969db),
+S(b3b4b315,6609efaa,7964743b,c6789f67,8e40b123,c336f64a,51bb322b,79a6e569,30d6e2e8,4b2cf3cf,e44b86a3,6f3655a,4e1b8e5,442084c0,454f5fde,c5cfa180),
+S(1dbf8ef4,174e8259,ccb03ff2,bbacced,d04b30e2,301a4627,77669f9d,4e02f006,6292dfd9,f5df7ab7,31103e38,da6b59cf,4ea57664,887e8804,b61492ea,add33edd),
+S(74a9e0ca,b7f1168d,d1ddd81d,fd00e731,7acb92e7,a81ad625,6f655fbc,561dcb05,aea7175a,f97dbff,a0ffcef7,1c89a8cf,d101b3c0,6f424d9e,bced721f,19578d7c),
+S(17d35d3,507f39c8,b7429cd0,9c04fa49,efb0d47c,a0c1a0e7,6a303c85,ac5d35f0,88a8998b,603095ff,1771d3e6,d7d69ce8,268c8f6f,20df114d,88cf83c4,e148c4a3),
+S(890a566,fb2b0ac7,1a269b9f,90a20877,3611a6c4,ded7874,ecb8482a,f758b0ec,6cd1086d,8ad35581,bf49b063,b1818b20,8e2cb340,17a9c0c8,1a197450,e8d7fd8c),
+S(13d1b6bc,13d5b669,6a6a423a,906476dd,d3a671cc,ebd5e119,a8cbf6db,622ecbb7,1099ec23,c79d6dcf,3d2380b,eba653f4,a3fb4bd5,bfe22e4e,abd2e57f,3953fc85),
+S(775298a0,c8968fc4,6c7c7e7f,571a784,13ad7766,a9409a6b,6ce02a2b,3e033934,2c3640fa,17aba57d,e2dfa700,ec4ae691,28579db9,91ba8670,a5d8f0ec,b9009c86),
+S(ccdbc86b,a89a8496,35c20279,223ff5ec,8a545acb,58b04b53,eb2aea74,ef56ccad,9d229bdc,2b1731a5,730c8f75,5edca111,c52cece1,a65949f0,f51525c6,2f4e6abc),
+S(704800e9,c4e03a4d,9aa9e41d,8619508c,9d17766b,217a3d3f,cc5efca0,67594157,7da8e92c,22174290,d08c222c,db33b345,c45388bc,da9434d0,99514d59,2660c24b),
+S(3b958586,e7bac33,711be679,30158ea2,38bd6801,f087ae0f,e694e482,a4654c06,93e08192,d074e631,6f7681bb,49b9398a,cda6fbed,c42d372b,2bf3bff4,66ec70dc),
+S(1ef945be,6fab11ec,4b48a57d,d2c3ec3a,5eefe46d,afc58284,a005e02f,6d5a8dc,1ffb979c,66ab8493,8a12fc83,52eaf5ed,431c3d14,d6e472cd,503bb1d4,1180c069),
+S(72ba6f,627d78a6,c265ffcb,2c8a1e3e,c716f52f,4dcda188,4ab23325,b3bdb1eb,7cf1eef7,aca4f18d,1b1324d1,ae6bcf24,3c870fe7,5a977c6a,c6872ef,c1602afb),
+S(2fc567f4,3df8fed0,1eed527f,8b4338d6,92143c20,13b963fd,343aaa4a,ae3e971,c3375e3d,e52b9c17,647e36f0,b4a60031,5837b2e9,c61d039b,1e934ef4,b9cb8864),
+S(6c80f08c,30b3b243,1c3a4b1d,b2cdcae,505c671a,11dab05a,4ecfd68a,e5cbdec3,46dc33f8,8b54e177,88358d5f,bfc4c834,4e376338,8cbe10aa,22ae5062,5d3ed7da),
+S(587724ef,65997e21,e38bfc75,80707319,c3065fd3,9dfb9cf6,fcb3de84,d28a0f3a,4993a8cd,7f22b55a,88818c49,8eb18807,a93d1246,f0f1efa5,6ce0efe5,68366dd9),
+S(f82fa826,8a43213b,5d871f8c,fdb6a6d1,e706ad8f,2b8930a2,c495bb90,39d1d5a1,78749a3d,b47e256b,9ab3ed40,9b9ba1f,741ddaa5,431f4f22,896ebdee,8ddb5d98),
+S(18177602,341d74bf,9ae572c7,d60febee,fe37fe20,80c89722,434b9ad4,3c935dd1,aed1c747,a87e00eb,2fd8ca9a,b860ebff,f6ff6b6a,9a2dd505,534b28cf,1f37f7e6),
+S(842785a0,11028ad7,4704fd7d,15e9284a,cee1272d,936c1300,d8598623,de359971,d507ec1d,cfe03f65,61a7b192,6c14e4cc,dec54fb8,4587a9a0,cafafa5e,81b35f77),
+S(c22076f3,441370ae,c874a32d,297b54c6,f284efb3,95741124,21428332,140763ce,109248e7,857ca454,cd9fc292,731d800e,8a29d13,e557224,bdc47992,717306c4),
+S(14c75d2,c7f48020,7f6c7b1a,ef4be041,d2c13f4e,48a9d9a7,b4809f2f,a20ebc67,267d7fa5,be716683,2f48fe5,f782b719,c707edb4,4e2eb6e9,3217e6d9,adb78647),
+S(ebbf722c,67339545,ab15b2c5,f6c517e2,e32b319,a5c526d8,656ab4eb,4a72486b,2c56f524,3d33c2d7,7c989453,3108ae44,f8b5d86c,9082fee3,c99236c0,258e42ff),
+S(9313e212,4ad5658c,9a50fd28,70af7f26,9661fefa,41b0b5bb,25b8cc05,9b8a2892,92d4a8ea,73210fbd,a730c8ad,50a19e7b,11f65025,a2fb2915,7af992e7,b9d449ed),
+S(5549d2ac,f2a7b23a,908d1529,696530a1,41ffc39f,323cae7,374666c4,12d9fc5a,87a51da1,f8766aae,f1161369,67259d,6137b607,b579a215,59e9e3f3,3a4368b7),
+S(dcc897ed,9f994741,1e15bef6,8eae2771,27ee8d5f,b2ef8ecb,f47e057f,801c7b1f,5bc17162,f6470848,a4b222cd,357a4e63,c3a15ce0,5fecfb1b,19290b7d,6af6bdfa),
+S(a9ead801,344ca82f,738dc5af,85534bad,d320aa7e,2af4420d,b4479cb7,d9d747e0,1e3f6e3b,d065bdc0,99630291,9f2e408,361c0f,76ad5c7f,4ce3f220,a69fb30),
+S(4e7e2308,67db8bae,df576eab,ea65f2ee,23efb749,e0047ec5,370b0db3,2897997,6f59c99a,15fc73e8,e393805c,d04a1254,5b8292e6,e8cc8cdd,cc426b16,90b9643d),
+S(6d52baca,67e37e9d,cd68597e,f2ec6b83,27abd9cd,c5088043,f420168,726d7c8a,8e721f7c,7d77b0ee,17f2bcf9,b5b1b9b,da9545fb,1f4d4c7c,d544f070,2af986ef),
+S(2b4bab06,bebed117,b09c6304,18185408,23b27f24,72223ab1,9dfa9d41,25271d00,c8e41ed1,6e4812e8,c32b8c9,4ec4c4a4,f3f00c7e,2a5bfe2d,27b6ea9e,82329cc),
+S(21b85eb6,104564aa,c8b070ca,52b993af,4260e911,4cec2a4b,92041c05,f420285e,712a8ae5,e03bfcac,f6d39f31,ae20c22f,c702b364,35fbcdb8,6a14b1be,7622ebcf),
+S(b95236b8,fe6becfb,98249114,a26e910b,62bd5286,e10a0dff,dd145b5f,ee2dd84e,3f0b83ca,e4549f4d,4512b410,57757c4b,7a3b115c,32819af7,6c31d204,c029fc21),
+S(7b2b3f20,5debfddf,17bd4922,188c6bb9,a1dfdae5,910803c7,24a6cb4,d5f827e4,4e60c6c4,c1932812,457f7bce,98b8b77c,66512966,9149860d,726b3f08,4beaa2a4),
+S(b2333534,312b443e,3d5a5559,67da3b7c,caca2947,2aab9281,d389e10e,2071cc71,5bb0be9b,d27c0b27,b2a2a68,d0767f2e,7ef79a4b,4dffd183,2163d7fa,9cf98ba9),
+S(20067cc5,1be142a2,b6f5f30b,18fb52db,a675bf8b,669b1fcb,d297f73e,93920522,a80c956a,f0206a2c,74b11133,82fcf2ef,883114a7,a72012b8,d7dacd7b,ef696999),
+S(d092a75,8080d695,2464009f,672a00ba,f49d884d,744a749b,fd884228,8670f2bd,da092b71,78d8a373,fe5dbb6b,2822c9e3,901b356b,714044a8,6b70bc5b,e5018f9b),
+S(91f482c9,2e9c481e,79b596ac,e716270a,ee9e9cd0,3d502c9a,96a6e8ee,114d6887,af9bf0d1,ccb2bc3,3d8d3c4c,20346223,19104e3,53ccaa29,4de71967,634e0b08),
+S(51bff42d,76705ed2,334de997,dc6d916d,86274f42,494a86f1,e57ec18e,538d195,2ac758d,cfb59a56,e483d361,d7a5e3ec,de0a640b,f94ac8,cb9c4a19,9fe423c9),
+S(285483a7,8b621501,b294bd80,3469a136,2ffce135,a526574a,38d29d66,c69733e6,c5f3d286,f82fd0fe,f799902c,76421359,921280d7,72a91c42,33379711,e55a1e15),
+S(848dde1c,490b4a3f,2aeaa7e3,97cd2840,23539cdb,a3a79752,601e5868,a29d7110,182c5fa8,574c673f,91302647,2f9fda27,dee3f57d,19c10e04,e84ea4,f532902a),
+S(bed1c6d6,82d48d91,3b6ece9c,c71cc51b,418d6f5f,f2f5fc78,f4d27bfe,8eea513e,7f278fee,8696dbb3,fc762602,dcbe1a5b,653b8738,e93ecafd,8c23a90c,d82aa45c),
+S(46d3d211,67a906f2,64f7ea9d,231cf44d,f523afce,8b99c3c0,b5f88ce0,f19fad02,7da52bc,905f1f2b,78c798f4,4ff85e90,c4b7ca2,4d2ab28b,cfee6cc8,373676e9),
+S(7fcc6146,3554506e,931212e3,fb68719,914943c4,a067c3c9,a0952225,c5f39fc4,ac90244,c5d5446,20b17f6a,75cf6dba,6a05895,e1f3a097,85fd6ba6,a440ec68),
+S(a3cd5ea0,b43c25e1,c45aeae7,1d05fab,e9009262,8b544d6c,364abd1b,a4c0b9a3,312ab3bb,fbd8cdab,1c7d01b1,53baab40,517eae29,b8ccb28f,27278a3f,7bdf0b85),
+S(c446daba,1825a802,1d62796b,1ef604eb,d905db5f,9874eecf,7be2ef0b,1cd2e9fa,1562aed0,d869425d,3adfb280,a959fbcc,195f632f,f6d8695f,f8eb3381,f7f274b1),
+S(77c9a086,1095246e,b59ec6b9,5af0c435,a64ac0f0,a238fa70,6c5aaaf1,3d9e32d0,8a89b6d,442a911f,66d1c966,997331a3,db74fdc4,a1305ec9,e13f2c1c,4f1524e7),
+S(19e2aaa4,fef00f4f,64ec5b45,d8cf58f0,37ffecbe,f305ad18,eca01edf,33e62cd0,2d636e48,ab56e09,12b922a,d567164e,93f6185f,4b3b5b54,73dd3b62,5a1bf359),
+S(5e6a3b49,60264ebd,1b98d889,5722f263,471343d0,a18f540,141b6d17,f5d0ac3c,8f91deaf,390e1d5e,dc5c329b,b8a067a0,e5f497c2,39fbb4ac,3de3c3d6,ac61f35a),
+S(6d90b780,b75219c0,5e5f30cb,61f5c9a0,44c446e6,8bfa56f3,f80d54dd,6c06aa91,6e02731a,dcd7f45a,d52a3550,f6b37f32,4a913c2f,6e48f264,480e3248,a06eeea6),
+S(e4358de0,e3e65fa2,25d164dd,cadd7ef,cda7a801,86d11fd6,92222d90,24131cdc,8621625f,69c4cb56,67f92d53,74bf8746,aac1d17e,a9401978,89aa4db9,677c2320),
+S(6088bfbc,79b7fe62,df884d2b,ff605794,9659ed63,3d9b7543,ffa88cf6,db81063a,ff27059d,811db138,a061d6fd,e4c289d1,54d7c28d,1a13bac0,10004c83,9146cd44),
+S(89aad23e,2b364a3f,6f4e218b,2a519c35,51b58eff,fc0b264c,549e2d41,f1552464,1f1e9915,1a56f61c,e48f3a75,4fe02fb,2cc591e5,8e7289fe,39c88345,3c868b10),
+S(c354a06b,468e1503,803d69d5,919a68ee,9e60509b,7d85b543,dc06a004,215525ef,e6656a2,bd6c2569,aed8d779,e061842d,3a65f9ca,a46cf5cb,11a870c5,3411e09f),
+S(960513c9,bf25992e,265e09c8,4749b4fc,d3dd1b9d,8de5ba17,88099526,2e2fce90,f2cee526,e2f19b4f,b089e3e5,aa4f3d4,dcd5be51,67afb83b,4471a220,f961fe26),
+S(915bfb4b,e41aef95,f4b84b87,5f4b0f11,89397160,c8b0abc3,5c976a08,29c7b534,e1238986,b3b6ea5e,528fc6fc,ce95be98,a0490c37,e2964739,6294a245,5580607f),
+S(54a414f1,cb9bec65,f1e8f09a,f12d91de,8615f47c,370a3a18,78beeee6,8297e07a,9d9accac,fbf02cf3,a99c5d58,9e9cbc3e,45e9080f,1d345fdb,93ba4306,c6972ae2),
+S(4495cbdf,4f71fc3d,bbaccefb,1eec5f13,acdffd13,9a0e9a5,cb798086,a8a46b2e,1100fcf5,8f571f89,4b625179,31a33fa9,eb2683b8,9d6f9ae8,748d6615,7e40f6fd),
+S(737740a4,35247754,b4264e73,7f7c4572,94bb0b0d,102d535d,86995ea1,68b7aac7,601553b9,eb20b8d6,8a0b9562,139d75e3,d3003a4,12837753,29c3696c,42f02f63),
+S(e0dfd6fd,1e6def44,55afe74e,dfa69eb1,310ea3b2,6d55a13,73cc0118,7ca720c4,e6d63ccb,96084257,8b764a05,15ab78a2,a5afc188,a8f7a4e1,52adfd3a,e56c6bd7),
+S(b4ccf2f2,4a114f61,cb24bbcb,f300a643,3190effd,4930afac,fb2bd4e2,1cffbcc0,3d9fda60,7a752c7e,4316f355,fd0fba2f,1f38bf3d,e9a78bf5,5ebe58ee,e7d13a0c),
+S(9efadc19,dc6bea69,e0b4a59,e0bb9e35,a1d4906c,4d612da6,f32f7f33,c96345be,19e891e7,b714e7ac,32f801a,bdc2904e,df8882c5,dbe25ad0,f414fc95,da4915bc),
+S(3a4058b1,cfc8bd88,499ddc79,796f07ef,a59bcd4b,bcd37137,2d76f95e,bc177c95,d3024cba,358ffffa,aa3a95f6,cac1dfa7,1d5d4f59,91598a33,f02f3141,81acbee5),
+S(30ac9730,53bfc762,7f7bb8e4,a97ce1f4,3918418,e3ad8f1b,edca9bd8,dd7f6ab6,495b6849,a4d4d9e7,8ffc49c8,976b5f9f,a631e1d1,95fce967,416659cf,f91c6147),
+S(248a974b,35f025e6,1a462050,38a0a856,d136b68a,2ef09691,69332629,a35cf2e9,b25a8e72,efb765f2,66794992,9b3ae32d,f148021e,63aae20a,d4450e3c,6b5fb5b5),
+S(107899a5,11fa2b90,fbe5889c,fef115f,f0c9cac7,62f82cf,12487318,63169a2,ea1c4278,811fbe5a,6f011375,35b584d1,a85d3236,c66d52a5,845a6ffb,3706f8cd),
+S(91905b3,e5602f5e,6a780acb,4a33f7d5,4d87b239,dc9f19e4,99560d22,b062e897,caadc62b,71d3fcc8,d9d5e410,7a11fb75,832693af,46ae99e4,d8f7d140,900b82a2),
+S(e103d0f1,1e7bfd74,821dd503,53b08f2b,3c56338,f4750fdc,76b4bbac,f7ab2404,eb65ee56,1dbd1e1f,d5437b7,b86b1502,3bf423ee,f75e7620,aa6558c8,a039f741),
+S(f35e2c54,f2e8f2e3,fdd18dbb,e0244de4,5b9fe772,7c00727a,5f12d7b1,def1c45c,a01aaabe,85682057,b649ed03,e9786133,e5d22cee,4e5c56a8,31bb310d,fc03cf78),
+S(5cda0c4b,ae3e3ab,8aeaf59b,ce9b57bc,da0d8cc1,b638cb8c,aab26347,e8188bb,d992c965,4e8a3d6a,4838c9db,64fa1114,e88986ad,da948ddf,52ca17f6,f600c219),
+S(cecf5b7,1a36fd7e,2990dd73,9fd150e9,e6183368,436b9702,f9dfa05d,a88220a1,34bec823,e6cf7184,f837e738,3c4b5edb,3ab3f027,d3034639,b038efee,5dafc8d0),
+S(5761d842,db207d20,42e3df0f,d95f13b,8f09210b,c7c8521f,4c33ce69,5473c28c,31c68feb,48e1eb87,afa40cd0,a4e55c9d,862c914b,714a290,4dbefb01,d59e4dcc),
+S(d4b5e716,5ed18b35,61994dc0,e2af0ca6,3d34d053,d89d211f,4157434c,dae8b10b,137db71,89d25a86,cdcbc931,ad30c5f3,27c368e0,6beb1335,746cf6d7,bbecb07b),
+S(6e9a9ebb,9cdd9729,f3bd261a,ee9ccc5,3d55a9a3,fb79d370,489ebac5,9951df97,32db39cc,a1a862db,172670eb,132f79cf,dfeb7022,ebe19b87,3d9781f1,1691f4a9),
+S(ab4f56f1,941e7a55,7f7090f0,ba8b10d0,13db8e61,f702ec07,c4b99b2a,a54e12d0,c1a1fc11,51f23ef9,521ab291,cff740fa,42e00fd7,1ed3012c,86e72709,9374c637),
+S(6f9165f7,e1f44fc1,1f7bfe76,7e8f7f77,3d25caec,17cc7357,d0b99ff2,1258134c,350f1c38,50c74078,3dc7a5bf,3b590cc6,45063e44,f46dfae5,b1c961d5,822b5840),
+S(ba866c2f,67d4b6f0,8317a5ee,32519cd0,93c17fc6,6421a156,a4056eca,dceacec3,93fa72ce,612e210a,42f81d5a,f3c16d26,36895eb5,4e2d8d98,e6d3589f,d6ec72da),
+S(35834355,a9445a8,40cd6b00,72e6a3be,54d80301,7da65bbe,cd1bef4,6788ed6e,92097690,e15e333b,55aaf635,62676402,cff85231,885060a2,2a29f263,667e6b5e),
+S(50864d50,6835ed6f,86b25b45,11db0367,d88de358,62046623,573e35fc,6524b4f4,e970bd97,a9692202,376f485f,5548a980,188650dc,91ea1351,8cded8ed,7724508a),
+S(ccaeb079,8fc41009,fce22bc3,3f191412,4be3fc03,cf9031ea,84f1a017,b9d5b3e3,b0ca53ef,45ed8340,f448edae,2ff784c5,c0b3bf3e,ff93cba0,8c2ebfa,eaf64df3),
+S(46f30e66,cb54b89f,17063c32,dd1543e7,e73d4a08,758560a6,e62e7329,63076c0d,b84bafbe,69b45a62,498dd9ed,d202506b,9be830d1,6d6fecd5,69fb8f96,6a6a3042),
+S(265cd9de,e006d582,45a04fc8,82f0ba5,b7fc91c3,6535e748,514ec587,c7f80327,7199f872,7a6d937b,6347d351,2b0050ac,a8e37652,3d922cf,f60c4b4a,846a0f57),
+S(31cf7fd4,4e30a151,5e8a06e7,347416ce,104338af,3cc8deb2,ebde204e,de6fad28,5e1a97a0,bb0d965c,ece3be90,b971fcb2,a5d52ddc,5f19cd1c,9db15671,e5101d4a),
+S(61110e5e,f84ac25f,85154139,d8d6c850,9ec024e5,5f796b69,f69e7bf6,3c41ce05,b67f5359,bcdfc138,963568c0,b386996d,82b77005,563cf104,2736856d,e548abf3),
+S(539655be,97322448,a93f3760,9e67a02,ae39b00c,ce1bd156,cf9e78fd,65788661,105f9f23,4f075bd2,dbc1b74e,3e81dead,125792de,6025efe5,7463588e,eb5a7015),
+S(e899c784,7f0b1e06,d4dcdcd8,1d978af0,aa00395b,af7e82f,a25c1534,1281b81f,f37e6134,1687ee5,942992f3,138238eb,1b2f13d0,7353f69,905c0b02,f629f436),
+S(ae2d2d8a,be3313d3,33ff5efd,3d31b73d,799b1684,47478e38,7821ebff,8d722ab8,680721ee,9acdb2a,bf38c78a,910cf9a9,3beb66ff,d086c982,639ef987,3c234ac9),
+S(b9e7abb3,9eeb4754,5d79bc29,97187c99,c41eb1ec,7fd6eda4,33eabdb,d60a5470,638a8f7a,b02eba6d,84d23582,46180a2d,864be6e5,a6abd36e,b2609ca0,3d0e0ee4),
+S(2b20a9bd,a7a6730e,95454586,a6778672,6bc18e60,9a765fc8,c54cfe75,ea0a5a06,2e442fab,623d335a,e9c2a2d7,f89349cb,cd2af4e0,218841c6,d5e0bb9,22d0e382),
+S(72fc3a7e,46d9a6be,f381e977,7253e8e5,f9db3afd,46648e8f,33b65080,ddd2d199,85cdc38e,d45cf08d,c23ea251,cf8a8c49,6ee654da,ed173c93,ee380d30,2a0f29bc),
+S(db069c4d,3b0faba,af16a827,74452e57,72aa87f4,ff3b97ba,cf17c75b,349e4d86,b794f792,85fa96f8,a7037f7d,ca851a52,7a83afca,26965e73,6408ecc4,1247c3e6),
+S(7cf3ebd5,aa1b2065,7d7d0ff6,a34a72e5,60436327,afd1f548,ef45eb4c,46b01b82,51de8d27,2ac224a5,2e5c2645,1a9863a1,8c9f8c03,43663023,d7621a9,21f1d855),
+S(73b0a3f3,233b1fa0,30fc1062,69453fa2,2120b0f,e6f91d1d,c637e0d8,6573ac63,e04e33b0,b118fd12,30a816ba,a5ad9265,90ff186d,7187a7a8,cb740e29,8de71787),
+S(32769d34,ca2c15e0,6e520b40,6a8cafb2,1f541f25,130dee67,7f4bc606,d3480db5,59ee4d85,31b67173,a8c1aafb,83ba9ac7,2f72dc7a,238e1630,5a3ad39e,d508334e),
+S(bce22865,2f6cb032,82f50e4f,c834216b,59a6e9c3,e787cc81,fe8391fc,3f2b7101,d5ec8a38,93820cfa,85daf98c,281c1059,51986ac5,5f4ec530,925db0e8,c98661d5),
+S(6911f551,e3522b85,93a1160b,356a5254,968a45aa,cb9fb870,37e3cb28,7674ea84,d26573f4,f3a58064,83d6d814,553f8dfe,e1d3b413,66062b42,ecb1f4be,56c39839),
+S(171de86c,6dbcd466,2cc5a0a6,967dea53,46411198,a8fad3c6,a21761a0,5f3303df,4c6652c3,ed4e1b35,119473d5,96ce0350,19ac08,acfcc66b,8664c86,21288b0f),
+S(8afa0269,be8300fe,592b612b,19758692,bed5d98,6374838c,126981a0,60a8af40,6f93d092,f4d82898,7d3aaa28,d8764c8f,937902c6,a2fa6380,91d4e6c4,d07d8eb8),
+S(9c6f623b,1feb0699,59b129d9,aea3349a,13b92c41,ff7cae56,3f39adc3,474a3721,c6033ad1,f7045dc2,76f1937d,31d01a83,cee9a2c2,e6e8e0cc,c130c852,76a76b78),
+S(5c88e5,bc110d8,ab0e77b1,e1592dcd,d576774e,4efc3499,5d05dd43,fdc8a22a,33edaf3a,e34fc2ae,b2d1743,c5be7c31,7ca09368,8226b5b6,c98be55a,18c162f1),
+S(244116d6,b514bc40,7e5f5ead,624efe69,dcd1997d,881a6490,d2db3517,5cd57fd6,e9194bf2,e27251ea,60f4761a,5114d205,c4d2c13a,c9fe5887,61098e90,beb5b353),
+S(db49b35a,9dd72d8c,8d0f0424,20c769f5,955658ee,7eff4ced,9dd7d31b,c0252dda,222806de,3c908a10,c71528f4,132e59b5,d14480e2,391a8aeb,8a6f7de6,1c3bc66e),
+S(e208bc35,609acd41,72adc7f7,94ba78a7,9103d213,78c1ef29,7dddabbd,d782598d,f8b4fe8,6f6f1fb2,3c4dc711,8991a334,7314a3d0,1428fabb,6167bd64,dbb31e6a),
+S(2da52754,60fb82c2,d39a242b,fcbf3433,be971662,acf9c5be,923859e6,443f3d61,6270758b,6974d5c7,3e5139f0,35d1e218,aed29c9c,bf17b6e6,b8ac6708,b09c69d7),
+S(3df8292c,e26a8c51,3e5af6f0,4bf7323d,de655d97,dc00ae71,eb8e1488,bddc3132,98b07c95,c45573a7,97481882,b2f91bcb,6aee1d75,21377640,b6a52721,9d420750),
+S(a2a22d6c,e949e74f,813c68fa,587c00ed,3c044c2,42456a6a,70b83f30,d8bf954a,6f4c0800,efe49001,9770f0cd,ddced4bc,d9a3994f,a1721cc7,df0576cb,e289b9a4),
+S(8a240ca0,aa79c339,b274df12,b5d739f9,97a84246,b330c28c,fb148c8f,dbe40559,e8aabf1,7ab14974,899689c1,113e002d,2a410d3,b06cc5c1,d0fe5eb4,1bc480a5),
+S(fd61d479,d57d73b,1085b312,2c5026a6,588e64f9,f642148b,589de7bd,418a3b45,e0e660e0,642739ac,f2127785,dd23475d,e83dbe72,2915b732,cd19dde8,38b240f),
+S(b9cf694,82581706,6565e261,e9c231e,4e95ee01,4a8eb744,12472b86,d5b2861d,969b8e83,a3c2b9d,a4f496bc,b4f7cd78,a7e418b4,c793676c,7e1a8c,fa6bd33d),
+S(91ee433b,c5c7e9e9,becb58f2,bd659171,2131260d,8a26d65e,b3fe33b8,442fc3aa,86215e62,1cd6542f,32c9ac7c,930282f1,de0cf7bb,6f6f46d7,a29ffa28,22127b70),
+S(1cda7a25,3e8caf86,bc67a7ce,7fe66799,e4ece2c5,64622557,f3b402e,e4b6a6a7,28e11403,94b46fac,df5950f2,9f44a66c,e0c0fdd6,942f1856,db17019a,40cc7623),
+S(52471c90,2508a47a,718f3abe,285b8be0,e9e1e243,35e27673,35a25746,2c864fcb,94d8cf1f,5c08836e,7dbd2373,860d78d0,c17960d1,5babf5e9,fe85838c,1923673d),
+S(dffa4f8e,137745c5,d11b8330,59ba9fd3,3d09c9b3,bab12c64,dda46a2a,63ba3b33,982d5daa,f0bf5143,e59e5c2b,54051c11,f8e42e30,adac79fb,6cd19446,e56ef372),
+S(7d5d28b8,88d15a4,3721de73,d1e3be0d,677b6153,58a3664e,63bcfd04,c85bd47e,9f987506,34bf602d,fc02ae9,9332b494,9f4d1f21,84a96f70,b7c51051,5546556e),
+S(8e65236a,47ce5e43,671364a,2e99c5ac,4375f3a2,9110560c,fcb4895e,637be7b4,d4800683,8beea2a4,9b220e38,345e0719,b91f2315,caa6bf8,1ce59b58,c0ec0b79),
+S(e8f250d3,f4365f7,696a9b58,b09aba7b,e884be51,86c5f1a6,d513b9c7,bb3c6718,7548cb27,8710e668,27aa9940,6caaf865,e7b723bd,e21b6ebb,855b8150,cba0bddb),
+S(87cef4ca,dd9dc07e,a82c0f5e,943e5ea,42b2a9c2,8ed24e46,5604a85c,a98e08a5,736974c8,9718b1b7,95fab8c0,9cb4a3fc,1dc9c73f,cbf0eac,848a4421,7cdbe789),
+S(48485885,4cd24d10,aa546441,e132dcba,b433b740,b9eaca38,cb80eaaf,bef064a9,91a91c0f,87523cdd,c6fdfae8,d16145ab,a2c67a44,e7e9655f,417531a8,9e44f693),
+S(6f7180a9,be73fe3b,3c88817a,154ecf8f,3102fc3e,a1dddf97,4eefa00,224d7149,e1ecb8a0,bcd0f4f4,8e039dfb,8974b552,4456c764,f4e668e3,9640c3da,4cf24931),
+S(d2f859c8,29ff75b5,cd951da5,2fcf0794,251293a0,7e8f0bbd,925216c2,4441fe05,c5edfca0,805026dc,32644722,70f22291,f65b60f2,5f93648b,f4163ad6,d12b704a),
+S(38454e28,6e44de11,7f44b4e6,27ad0b15,d555c6f4,f8450624,d5b717f4,88c5f47,916bf1c4,eb9c5159,3e52e3a0,e1414e97,652997c1,fb9fdb03,f34e96d,4c8cfe1e),
+S(b039e580,64f64b6c,dfcca8a5,1c93b169,8aa14b60,a2bb6ac7,d098987d,6b72b5dd,17cc6940,313d054e,34ababa7,99fbb1f,a518df36,b2896039,adfdee62,dd5f65ed),
+S(5633c240,8a81d35c,61d6d5fe,3f678,220109a7,97716250,aea118a0,52939b04,3997de40,6495a96,ee3e655,3a69b04c,b11730a,709f1077,a5ac9916,85c0ded6),
+S(a4f3f220,a7e2c9f4,bbf541d9,8ea71661,e142bb2b,76b4b7d7,af989652,2d2cc79f,40064f02,5dd4bbd7,9bf80bd0,f697dd6b,26ca8ea4,d04252df,ce5888b6,5622e669),
+S(94568051,acf08d5f,e36691a3,14b44373,f46065d5,af48e08f,f34adc34,d3d7c15b,59672baa,3698714d,2983e23,1e7d985e,acc15cec,1dff4ef2,dbede100,972d2e16),
+S(a4ddf835,3421309e,a41570f3,cbb0002f,5fe81975,35dab4ae,179a7f0b,dd24472c,ce127d08,cac2622,56f116a4,c993f504,b6df5833,731d04a8,1c0f0154,c4126078),
+S(259799cb,4a4a4238,5bc3806e,17f19a56,844ba9de,8e303d2c,1cc0ee3a,a7831da3,aeffe3bf,b15297b3,4919cf90,cc808308,ec41c63d,f4af573e,b1d46675,20aff2b2),
+S(d65f0bc,b0065fa6,4b13abe0,b621b2d7,b08cca48,2eed0267,8b131fc0,e1967dcd,eacecf44,defa0ba3,3bb5e8f3,9ed0bd15,5ab9aa57,81a22307,ea0633aa,64f98f23),
+S(94ae2db9,1ea43b15,fcb2acac,93cfafe7,36874373,efa30c31,98f10b3,b94a1b93,8df119e3,d4872a0f,3b40d3dc,fbb894a7,59f5719f,b81f875f,71ab5b7e,f8cf7db0),
+S(126fff6e,9e1c65cd,d7e8aff0,6a20c00e,cdad4440,64ffa43,675a0df1,f7c0ab35,b4eb051b,e05cc632,ac1e23bb,23814d1c,91caab71,6b214dfd,41f6f44c,bfe2dd72),
+S(3c8081a4,4183a093,45397a2f,c895877,79139c29,ec6dcf0e,d24016a8,e9d3b210,45a3dfb0,9ff805eb,f7533bcc,1022e0b,8c69b658,88a0393b,66ad3151,b0c3bd57),
+S(210f6bb1,25fee215,9a04d068,c87093d8,303ea3f9,1f8f20a4,69dcffac,39295f72,d96e5591,4b2f9eb3,20b9e17c,f3e9a9db,9f284be0,3575b192,3e8d561a,bb5e4d5f),
+S(54e9e6d5,df0555b,3a29f1a4,33623e38,5edf8a41,d19fc0b7,c82f151,f14a73fe,ba04d63d,36b3d5c0,3ac704fe,7d15d939,918b8311,1f83bc55,4cd56c33,ea709936),
+S(1e65329b,765365a8,6a111355,eb0308f7,c1702263,f8ad9e35,46bb285a,2fe6bfd6,e265bf55,5e975aa9,f2d8b9c5,420c33eb,1a05eb58,ff40da46,2760971a,d044b654),
+S(4380d3fa,48cc932b,4f5453a6,24dd7dc3,b4071e7b,eb1a1295,ad8e64a,aa7b40b3,6da29a3a,30cb7bfa,26bbd0ea,cd84c98,c4091683,be9e9742,8dca4fff,5c2a6393),
+S(c3990744,d6f84a2f,490a9e8d,feac8534,4b1d4524,1a573d53,9718b6f1,c1bac2fd,2387052b,2161f56e,fb3efa32,13bbe3ec,97e2c78,24c648d6,913bd9b6,c8feb342),
+S(d7e1c842,25966972,5de9fb3c,25ec9fb6,4ad1ed23,566e2930,292507b3,e099dc34,5e1cc09,97290936,184c22f9,747e043c,dfb86fde,142dc129,77502a2c,4ad3fbef),
+S(f14fa91c,140d3de,5936b6b1,5e4a1bab,8aa22013,ceb72503,27f608e9,2e048f8d,8f429f64,7396fc1c,fb5c33cf,e982cb9e,a762735e,7e595335,19b2e302,a976f0cb),
+S(c7837842,5ff42ae5,fbaf9186,81440523,3286f91,5e170133,d81ef705,e80c4f4c,84ade3df,47e23a3d,9f16de8,f61c7d1b,b0428619,8ca74b68,78947cb7,4a5faf43),
+S(f39bfca0,beac1ee1,2e98624f,32830908,609e7c64,37175322,1650e813,3874b0c9,19e4fcce,fbc53b63,a3a6baa1,252b7331,fe5365f4,86300711,f6c438cd,4da8aab6),
+S(703da707,37e1c78d,1a6dea54,6e896d59,984b1ac8,188fb720,ad837273,86a2c188,e8b3547a,23877467,75c9bcb6,1ed4b4d8,9ee22da2,1052bfc3,aaefceab,698f3322),
+S(ba5f3f79,b3d5be05,a3d85b78,16738253,7fbb206d,841f8871,b9f578d2,2c17126d,40acdb1f,c139be,8a1350e8,3d52ae1c,449b3874,71794282,d5ba72a7,5aee5a78),
+S(af43cb78,d080053b,7fa4cb34,4d70be1d,57f2acb5,e6718bce,abcff626,c8a44d4,ecb553f,1aa18a31,e8ba2306,22898b2d,fee8d6e5,2dfe6ca1,2ecb5f73,71a5987c),
+S(3a3cbce,2b4e40e7,f2c32398,9dd6d35b,74f666e8,48d73e8f,b5810439,f0e1749,f29b185,7c7c98e0,696795dc,f243b662,835c6d00,9a7e55d8,612f6841,d3b891de),
+S(81c28d3f,6cb88bfc,dab4f911,98e1184c,d0455bbd,998e8ef6,e98cef0c,fbfe101b,5fb09335,f0527b23,555db9,e5079979,13b75422,d75b5059,198341c8,542c53c9),
+S(e9e5ce5b,3c613100,5c4e57de,6133cab4,d65d953d,a4536926,fbcbfdce,1ca56fcf,f9016f,bf8ed329,4a1a5fd0,cd66bbac,e0cd87bc,e51adc95,628b1a8a,25ac1f4),
+S(bb45dc5f,e2265ec7,60353992,45f51c8b,72b642ec,219396b5,5ab0edbb,f890c4c,b375975c,c8107cbd,1f5068ab,c3f2f62,f1e9b76f,befef470,be29d5d5,a615408a),
+S(38356fe5,4d91f656,79bf2558,36290b9b,b0840b9a,fccbc6a9,163c164a,3e4c7f30,17101271,b3881a72,24373054,39bbda94,6ff03805,abcc35e7,d960a46b,54122ae6),
+S(fe6f885a,2996a35d,2886e6ff,e1d0945f,515f5853,c0b9e922,ea82c4e8,db2b2385,2310d0b3,6846cb50,bc3159eb,37cc6b8,47645b07,207ec23a,c75b26e4,fcc0f96c),
+S(f84f2cc6,f645b44f,b4cfa5bf,2840caac,c6f512d4,4b0aca89,987bcf07,af8089e1,dd3ed3fa,5ea7f359,8c2b2030,92ede474,b2f594a9,61d7fd6f,8348813d,bdb97f9f),
+S(8f2921e1,dae78a3a,4557d895,50de9bff,7641749b,c963764f,e12bb329,2ac092a,9c7f813,20fbf8a4,b4f08b57,58b02cf9,1472612f,113f1be7,fdcccdc5,2336058d),
+S(28dd6677,d6085587,46523eef,46aa90fa,496f04c,94e8aa00,2636212a,913eabe3,3f6da403,cfcac4ae,f2bac7ee,9788590e,5cf58a6b,8de534bc,a2dfe892,44309e34),
+S(307b5b7b,d959def4,9d3518b1,a53cffa6,f1d87c73,157a0713,b3276821,30face1,b32135db,5ef40508,184b19f8,d3f150b9,8eaa6c4c,edefbfba,ff300b2,86177d70),
+S(caa54ba5,ec29788,c53ae86,c58b8436,dd9a62a,cd41797d,1cfba1ce,2c70f251,71ba3e8d,9025e404,aca75114,3b74e0eb,4ef2fe4c,179c1146,e774b432,1e51d7b5),
+S(2c2d5637,4a4d6333,83f5051,c6beef25,884f41c8,c5474107,e8f19532,580c8e63,897e1870,4a3767aa,3ce72f7d,dd4bbc7,b8a77594,469cfba9,f3a366a,807ba256),
+S(7aa31729,dd90cc03,e40e41b3,5682ed5f,1ac4addb,3287c2df,b4061369,18065e02,e5662d23,55a0c036,73b120a4,fa430d93,fa1a6b34,c371e464,3e40432b,44aecf85),
+S(2f882827,4abc0c90,27b6b76b,f60523cc,fade023e,42148f2e,5e237c20,e5da840b,d402a02,3dedbaae,ce4d003e,95daf219,cf47b98f,ad547a92,fe77090b,b9772ae3),
+S(a4243ce6,15596c36,ea766263,4142a9ea,817676d8,a9f6c7c2,2e6ab9b9,a74a2fa0,6a2f60,20ec81bf,3d32c353,49f29fa0,db06e8fc,d4058dbd,5214aa0b,8ddbc595),
+S(8b7b7e38,a9b704f1,3dc12d15,1f46a3d4,950abd52,cbdc79cd,693e00ad,b7556934,2cc742ce,60e35db4,fb432d93,299e5fcb,f7647856,d8ae4e8e,2bbfa6fd,a60a6a84),
+S(da61f7c,31e2ae17,39b188cb,59c9132e,e7120f34,b49a846,66538a2b,f338911e,c8d93b53,d102dd0e,20da925c,e6f63c04,4239fa5a,2d04df8a,9fe68f23,6d03b6d4),
+S(38925464,b72e70e0,361c0420,ac92348e,3d208b63,37e55b31,6ce554de,afc2fe09,c96c91f3,c452504c,fa868726,7985c532,181fd1ef,82344a45,4392a4fa,8e534c82),
+S(ddc0043,46b27c54,d6a927a9,a053195,335c476,bc602490,96b1c62e,e06b6cef,be6ced65,445cda54,2cef4ff9,2f85289f,bc6c5007,362a4cad,5df4ec03,b450e7bd),
+S(5c82a52d,84832270,3cc7506f,fc457b46,8aa8d5e7,1c55a4e0,2dc1971a,a298ee6e,49839199,fe6d88d7,3a75b59,d06a2fb8,a0dae45d,29c35cac,161866c2,caff5021),
+S(b9793612,74eca1cb,e5a41462,aec446a1,d70cfe40,61925ce2,558980f,c1d9d435,c59da470,8771c732,d7c94291,8dd76768,ceabdc74,4fb49700,6305b591,2cac9d50),
+S(be9ef1b,591477fa,7e3b3f2d,a0c9cb1f,37dbc3ea,f4529f69,2f455f57,fe3a026e,9617409a,97621fa9,b8f8d926,ffc895bc,eb60d2b7,37708bca,99258077,e9d5999c),
+S(397f89f4,ea848a85,860efd86,5ef395e6,26e9657a,2cf04097,7af1e8c0,f75e6953,baa93eee,2bfc5d47,e096d20e,c31a2a07,ea369c85,66dd8402,80dccafc,86e991e1),
+S(ee263d15,e4437d90,9f1960f6,504663d6,410a12e6,3f70bb86,de33e148,2ba907d3,2512cbc,bc9cbd9e,f0037e87,d51e6fa7,9d96c748,69b702e1,aef8614,859604bd),
+S(3c93ad7a,85d2c4f9,1e03bae8,1d9ab6f1,d706779a,41387c9f,4b24ae1e,c8b7497b,ad1aaa38,5db82667,984d53f,88cb0564,6140f339,3b936f3,6d39099e,fca9aa36),
+S(fcf7a309,e1362a1c,6659c2a8,e504ca6,8815e320,9ee6a8e7,96c4f173,f1769216,970368e2,15005e71,7cb31c4a,b0963246,796656c6,be28022b,e458fc9d,424bea47),
+S(7237b824,1ea29c9,5f7d216d,e15a1c67,9f4f546f,6f79e306,14e2b2dc,226b9402,597f98f4,8ac7e00f,db3ffd2f,88e3e16,57417a6a,25c18b20,c2bef0c7,fb49e6c0),
+S(1198ec44,7691883f,5045634,c4475b75,95c2ef24,29e7124c,2ac93bf0,2c0de7cb,ff51c40e,d65465fc,4688436f,7f5d873f,d8be9b50,87dadf04,54b64ff6,e9f8f789),
+S(bc5d666a,7d29ca8,21112968,8395a4aa,2fcf4f94,a8437d22,6ccf2501,5ff713a5,6e7ad8e7,b74c48f3,45e71e1c,605bf4cb,808862d1,aa292686,4723b14f,c8169c22),
+S(1e05f444,c110aafd,e3c828b,97db2721,d9ae0270,456aafbe,3a2c5579,ea3a2154,3e432d3c,baeb8056,105b67c0,c0e1551b,eeb617f7,c8ea4ac6,4cd29f27,c77b534f),
+S(2d7ece5d,4ee96a96,91a5812d,7bf888c8,6f0992a2,51ecd061,b583965a,895c94f7,9a9d0b4b,da5d4500,49ac087b,a30bc507,aba5baf8,f98ede76,debf59f9,be1390e2),
+S(3b717ec2,ffb0f062,55cc8241,f972709c,6c3507ea,8e11beee,d5e267e3,2fb576ba,5176f106,23d062e,ec697f2f,c7090352,4fd6700,95baf419,d0251030,101cc915),
+S(304652cc,3fffd5c,c86daa47,ba797d5,14d7f3bc,11f5fb04,83b7c217,794a7156,c0767215,17b5f18,f92e6995,f35fc65a,434aba1d,f48a2977,62d1a04a,a587d479),
+S(2c9f0acf,c4f3b56f,4a0c6262,1fac78f5,1a486173,dd6bf323,d66bfc48,13ea753f,b12aea95,b7543ce0,40291db2,1ba73dd1,2f0be788,38a81d9e,8e00e0dd,7400ab05),
+S(bd236103,9f096e04,770bcd3c,3a10d5fd,66ef7fa4,a6c869b,52146314,90ae5dec,d28b95e4,6774745b,23ad0dfb,dd4766d9,8a2f770e,446a5c16,3277499b,e21b6511),
+S(e97ff1d7,4ac00778,97caa1d0,a640ffdf,3bac580c,beda2fbd,23f25f3a,e9a26f5c,f093150d,95ea1a72,3a54e382,8c919940,3c296d5e,fd2ab41b,25cbfdb0,9aff5ee6),
+S(f8ae0f13,a6beb793,46450b3f,53f36ce2,8c81fa18,56bbedf8,87e9723,9e15026,3988af1a,f632948,8e7bcc78,5cdc1ae4,a572141a,6cd15429,e6b1b40f,5b44e529),
+S(6a944e92,c051b864,d4d26bb7,594f4ace,43951291,44b6d255,5667cc08,86dc515,13a75d28,c910c56a,a5dd2e75,9893d4a7,d86f0efb,dcf715b0,28c45277,50745660),
+S(fdcc9b7c,4cc46a5c,8b114e05,c1f44bda,ad11957f,f05a0544,7fd49ce2,7c6ebb5b,72b243f0,1c142e35,f19653ad,a3d8012a,67f0501,a155a644,67629b26,58943381),
+S(841e3eb7,17767093,19efc620,4b1dbf4a,d339564d,7ae6ff8c,647a9c27,93e9a5c6,1e5d0b55,7e50e0d5,9abecec5,de33570,d2a57d8b,a2c2d4a2,e90c0ac4,d4edca19),
+S(fecf1c0a,32317cf8,469f181c,5bd52ae8,50913793,53569b28,c0c90c0c,dfc7b248,c61056df,56ac8e15,1077dc68,bd0a4819,c19ccecc,552dd14a,bfd6a457,516ce448),
+S(82efa605,ac4e5e4d,1b68bb8c,b3f8d24e,47af1820,a7600345,757a36dc,2b241c52,171f1693,a2a0c1df,531d3d2b,5da06241,651482b2,3eaba4fe,c5d0500e,868db6a),
+S(5ca04a7,afee22b4,c250d0b2,98691a5e,6b6805a6,b44da5b3,6b8a100,4fcdced3,7bf3a990,465166b4,e8d19ede,f41d7ec0,c7ad86a8,2ac57853,fdc731bf,15a3df09),
+S(db455b79,de85315b,ed8ee65e,d8b5d659,5df2d2ed,9eb6e9cf,ab939fe7,93105df1,d821dce7,395db88a,98624ed6,44705a39,e2e53e6a,ff3b7405,3e8b9e18,4e1efa5f),
+S(f0033201,aa7e6293,de70665,38eb3133,d2a6b56,5e73ace7,81fc98ed,ee458fb1,612fe4,d18f43a1,12988418,42d875b3,2c9525fa,154b859b,8258f904,d69c5d08),
+S(77172496,3722d684,2039d1b9,92eea093,4c0fab8e,4be3389d,7d5eef1c,c31fd291,af3b1ad6,499c3224,aa47c6da,26064bd1,a2357acd,db722182,19350cbe,b84ed1d7),
+S(7f27ed8a,c56722a0,730ca755,f23bbe11,ac868be5,e5571f70,5b11df40,28771532,adc25cec,11fe3569,7c8618ea,85005c05,b0fc73c2,db51d6a6,fb55c4d7,6ab9094a),
+S(919105a,5d0f13b9,d0c6618e,21257efc,587858b5,6b6b4477,849f43dc,ed12bc0,54c7da67,731e00d1,316a0461,3debdef1,623feefd,784702e,eb42b995,4da27472),
+S(e04d08e8,ab086e2e,155ac0b8,408c0163,e2db4afd,57703ec6,8a14c43b,3ddeee1b,742a114b,87e041df,93d15822,80a41360,86b9294b,20efeaf2,4d6b44b6,68a891ff),
+S(82c95d88,5715b88b,5c583b9a,467a5c83,4b066ad9,3dde97be,866eb8f7,fa23452b,dd594973,f5cc5595,55d31870,fd9dd65d,c2b79733,c9db8c44,987314a4,d6ca0bed),
+S(634fbc51,4efde752,b8726840,82372231,6166a17,ed706b00,1ca80ada,e4c43d8c,61cc9b14,11cc8e1,3f6a5243,64b04221,ece416c8,f5f381aa,8c3ff977,2c20042),
+S(d85436a0,1c84e01a,c71ec9d6,93fae5b6,21764db2,1a8604cd,c7b37b21,452348eb,d4f9e6d8,5e65d57c,8bef1acf,a844d20f,1055c756,9690a10d,a230f5f0,8e0f9f8c),
+S(200772b5,67197246,2ca9c5c0,e042d0b7,6990a34a,506494f4,f66265fa,4458459f,15e7e0b4,23c66afb,92411156,5e40b8e1,47c97bb0,28bbbabe,8e1a83cc,49b96e23),
+S(8d8e235a,8c425a9f,d3556276,2b3c5404,ee0d8e2d,2e41c785,a05f34e6,1ce50acf,74032ab2,8e67f7c1,71bad531,fb1fefd5,d4aad08a,f44543ec,3e731dde,6d2877b1),
+S(a5936747,fd423569,cb233184,77b992eb,d2d996bd,b47908a9,59d1a556,bbd51804,4cd3cbc8,ee2e795f,fcf5fb64,4deecb2b,45d6aca0,d70bb33,83f7d16a,d52ad109),
+S(486156c4,8f785096,ddffbfc1,fb1d358e,2fa7600e,4decc327,e8b31014,21b75001,dbbef974,6482e537,225f5459,f3f7f62c,b0229307,72c1f251,75ae3a20,f6410527),
+S(be858e3b,217489fb,1401b203,fb268592,ca1ff022,4d6fa329,78de85d3,b8a49324,f0bff99,e982b3e3,be3a45ed,f96f19,38d98b51,5b899d16,3abe2e53,bb67e331),
+S(641e9c7c,cf17bc7a,45bd5298,af2829ac,b0d78a28,7c03f056,982e14ba,807ad7a7,c4bfc1b2,e338f2bf,7c9afc27,63ad340f,b5b27787,fba888a4,b8c4cd86,cf745fb1),
+S(e8566e5a,1e855981,c6e275aa,3199dca3,3ddbb528,482ef60b,2e87c9cf,544cdcf6,94adf4a6,1643a235,9ac421ce,c5aa5ccb,779d4a9c,62bc01f8,93643405,4329b8bb),
+S(f826dbe,15974b59,f4c45c11,584ce96f,56494195,4ae5972c,876a5358,82c5ca5a,79babdd,ab8c5a53,4f527ef1,459ae3bf,990f9bbb,a0d1dee9,d6ce6c53,330b9a96),
+S(ed712f5b,a2d886d1,5e7bfb43,9c57bc1d,c2f9adb3,9bcdb62a,29c05d2b,1b483a07,36830fc8,b64cded9,719e6552,2ac7c6fb,3d6dee60,dfe6ad8e,30c5588,e4a3d876),
+S(bd372233,901475d5,a6a2e1b,e11240a7,bf866bf4,cdecea09,541c718e,202991f8,4a24709c,cc93a928,9706125a,8922c828,fc309dd1,533e702b,fbe0fe7b,218f5c65),
+S(f196cfc9,50001e76,1e6453eb,3afb64dc,46c793c6,58304f0f,ca3fa342,66da40e,274b3da1,eb8ac4d9,aac325c5,187b1507,ea4e24b6,1a74c2f7,84e9218d,d4c6f68),
+S(d0b4c5ad,98eaed0e,6011c072,a2de350a,5c24da34,5a60980c,fd1c73d8,3d1ea674,9cadcf76,7371d792,6b818ee1,b4be2c53,5cc1d760,bfb7c47d,dbd846c0,c2568449),
+S(41051a05,8771b3e7,a8fd33af,1838b679,b13c480d,ecc065a2,a3386d9b,25c822cc,ccbf9cf1,df8ebe76,159ded17,2268f71e,c3f44e4b,2d5a2efd,5d4ff9b1,7f41f8be),
+S(1d8f44db,4d7f28b7,8b911ca4,9f622337,414fb0b8,81b75ea1,e93a757e,36cfa0df,e486e0d4,83987655,8d4671d,537b47ca,f734157f,6843118,ec5a3293,839fb77a),
+S(71fbe897,6c6e30db,b71530be,42cc3fd1,80d60acd,fb3533c2,c0f2720e,e1a9bd43,84560b27,383d8db1,5558a2a4,a8107878,4c62325f,60ba0669,69573488,262efa7f),
+S(7f42e7a9,cc3960d4,98e05160,95477ca9,a23cfb84,675f1b0e,c38e01e6,86daa99,ab0c4acc,6ae1fad3,82eeab7a,e7d1450,6db254e9,6abc9a9,d8c55c9f,7e09621d),
+S(8a9c65d6,5c400f53,db6a3f86,ece6e185,1295df9c,19a55e34,348d5de1,c6242448,87d177f8,12769257,ca0f6e42,e1db9067,2387b8fb,f0462051,59a55d8c,79377af1),
+S(d7b721e5,332820f1,c8f16624,4e3ea5f0,b63117ca,983ae4ee,9017d44b,ab18b5ff,b2b5b7c5,9b0fe6fb,386e185e,44cb43db,76e005f2,a5cc57f5,4690841b,7de26d19),
+S(fc81762,38dbbc4b,3969fa08,31c22a19,bd163b3,4327452e,467b91ab,940622a3,b5f38676,ba86221,b0a02c03,6819df58,f2dec21c,51f456eb,7213289,6f7a54bf),
+S(54e5db5d,2f87f24b,6e62ba97,6d941198,8584b337,ed801172,82080190,821d2418,ffa698d6,3e953ebf,b755c0c5,15976246,b5ecfa0e,397051ad,136f88fe,81987e14),
+S(b18d7cc2,4023df48,776ad32,b64b234,1ae42cf,74b19038,6f3de4f2,bb029bf6,a12abedd,ead9d502,eb28a8ea,d65b2a19,29ddd548,1a7fb93d,e8d43b94,bfdc8547),
+S(22df5ec9,d2acaa17,473e0ea7,2ca2eb49,9622677b,6abc063d,1bbb3648,7bd3294b,4d98a1e7,8dbfa279,227a6090,b61a5831,a6eeec3,519710c7,85679d5,61b48a6b),
+S(6ca320d1,fd3750b6,5606108f,43585ab5,fa3663d9,65428a40,28c17eb1,95790eb5,b346253d,d2912350,86ffaf0b,bf7af93e,3b4f44a9,fb820a53,286067d4,98019e87),
+S(9df9049a,7cf65986,5c88b93b,3688e9f0,53eacd78,561d97bf,58358952,f1318a9b,984b2aad,3891f7f8,df36b785,b56f4967,1f572f11,2d87023e,6003b3f5,fb80f3db),
+S(6e96057d,9827d88a,5ae84c28,c1aa2158,af62d298,2cc26c05,30d48d2e,d879aa0b,92cf1366,8b9784d4,25c16b50,afdaadf7,e7c114b7,783050c8,7715d6f5,1d273a36),
+S(5719e0f4,60efeb2b,78eab426,ce8a0623,3f092d2c,97d9edf9,3d22d403,a07fb86e,5c27677b,63486c8d,3f2454eb,30d5d511,bee44e6a,5bebca46,8e1e7b38,61c69a12),
+S(87e1fdf2,c83a698a,9fa294a5,252894c5,4f84b148,178a28f0,42870a24,e7ce1175,654db1d7,c34e78a6,e9120a54,6b9df354,b7d385fe,13a3522c,72adbd4e,660f2cf5),
+S(9c915f39,cee954f2,3d534662,f2d381de,834a1fb5,13739902,6c1b6b97,53050fad,8b068e52,e6821405,8974c43d,8902a00b,d2aa49cc,f0c4adfa,fe631e09,ce658112),
+S(d77ce2dc,6b94603d,c2093771,ee39e720,93150705,56ee100b,a4a2738d,b6d22ada,81bc70f5,96f31096,a2054807,aad9e9e,63260eb6,9d524289,71675300,8d71bfbd),
+S(ef509ae6,9fa82146,ac152c96,d76313de,c1857882,a71e8955,270497e7,33a3af9d,a614aaee,6fa558ea,fe7d8d3d,4090192b,c8a7b70c,d4dbd766,a965d684,544e5bbe)},
+{S(5b27aec1,c644f0a9,ba7f6486,9a960ea6,28343ab,da3feab2,4a2d6add,754866a2,3d1f365c,2aee6c1e,ab2f1879,429b6275,5d1bac85,2998ef25,8a914bfc,ca280b43),
+S(51509477,fb7660cb,b15636f7,a53b1e42,6066823,690af014,b227d14e,e428efc9,f43b885b,4db6e28d,d93b9feb,f035014e,8600b6f6,ad6fbf13,6eafd789,2fdae717),
+S(484b85f0,516bcba3,ee08f829,97496e55,b3856c94,25682c80,837a8d65,16096083,8649305e,2f245dc5,d4a9082f,a29f9421,fb20ad34,2754d8a7,8ed0e3c3,ae933ac),
+S(8fd997a6,792e739f,83666c5e,25bbbb47,ada14d89,d3386cae,2084dcc9,f546ad7c,f85d46e1,1eb472b7,3c4c3731,bdc3620e,c2991b29,599871e5,e215af28,9ef08cdb),
+S(5fbed326,3a7332e3,104dab58,c47932c8,a3f262fb,14fa35bb,a5021344,e965871d,225d98be,876cb5df,db578da0,c25be784,5ca1f5aa,7ec273a1,7b9b3ad4,5998202d),
+S(d3ac3c1f,84be4b7,1e47da62,ca159e02,5cbf45c3,a40b34b,c3f3b28b,b0bbf1d,b2b94603,f6769cda,f9a766a6,31d7f48,e194f51f,2250347a,34719c55,beb30e17),
+S(6233110,a8f6b13b,fa99dc25,b912344d,1cac4cab,f25318e8,c7d1884c,9985a468,dd458304,e3782dee,71ac4c33,c4e45e3d,79dbff13,437f9b99,ffa991bd,778e0707),
+S(3cdd0f3a,b2b52a8,65ad9d4d,d65e089c,e2a66772,a20d5dad,9768fd5,6ca5efe7,ee940af9,90ead7a1,a7916eb0,44470103,b73c39da,23288072,1ff245fb,93b021b2),
+S(9aa9bf7c,d8b58d8,411fde00,84e05511,6f11dabf,a699a1c5,614eeb3e,4af41bae,71d72932,7f05269,a99de5d,cee09c4e,dcdd3b76,a4465d21,ceac33e4,3741ef6a),
+S(aec139f4,4598b687,c14d01ab,250160ca,abf5d9e0,1cd69959,2ed2e988,22345aa6,d8307e0f,9018ded8,d883339d,7ebe1fa,8ad39889,d0853c89,4743e704,d5afa618),
+S(7f99f6ff,4d46e361,8e55f46a,ed55b95f,3203ee16,848893de,c33c5756,1184611,bdb6721f,987283ec,873e80ed,450d8c5d,9e7e2a02,ae56fc45,9e69d3c2,d2016c69),
+S(8d850e4a,e682f751,22cadc1d,ea01a22b,377ed983,c833a4b6,e5945fca,4d227b2f,94c22c5c,3864879d,e4b861d5,e9e33523,e5f848b4,fbbb8d3,4aa21a,85066e3c),
+S(194b8c89,7231a783,ea9a835e,ca4b6744,f0d0fdc7,232ddd43,237fb622,14c869f,db961536,179e4275,5b9bb682,95d1c75e,b2b7a19d,d5084960,7d9622d9,cdf46937),
+S(760ad01d,c8e83c2f,ee63caad,9a86f648,f6b72424,4aa158d9,66b05647,eb6cebb9,9d08a9fa,1d21e580,d34c9fc9,10b8c294,522379fd,c61fb056,895261bc,cc827a3d),
+S(c2186e23,813e84c6,222138b0,1ab17c55,d47af51d,8e4239bc,1600fd66,d971cbc2,200a33c8,7f9e6d4,1d5d602e,6002089c,6246345,107e8b5d,5abcd35e,7203ac68),
+S(4ef2336e,857336cc,dcf3c9a9,48685847,1f639021,bad06218,8a66e4a5,dbadd35f,67f8d186,e79780d2,b063e723,eef5531a,d95a653b,4289e98b,d4df52be,1b40e8e5),
+S(16d03f6b,c21a2a55,bb0467e0,fb8668da,de88ccc8,cbdf562e,39c992e0,4cb66545,82a7c24f,b5dbbbd6,4ce566e1,94834d22,7127ab7d,ebce6fcf,60ce1482,4ffadacd),
+S(edb76db2,a1d454cf,e8b9761d,951fbefe,49054fd7,fbc7e800,5051ae27,5b41e8e2,343aba4,56c46bef,17a254e4,df28e783,cb6b09cb,f40b062d,22a04aca,701b66d0),
+S(b505feef,7c6f5219,7cd9b159,5db0e30e,f1f3be2,7e65001e,df1a9f4d,ed86af06,fbd1a957,d0a4e43a,652c2555,312ace49,92e2647d,5167c18d,86410bca,87705e18),
+S(50e755f5,f14333c4,13be7594,34be8d74,3691156c,12a46ef2,c730839d,3871f097,a2925d1f,263c9c2b,32c4fe8f,4cb2b7bb,8cb6cff8,3f0ff900,213afd01,e5d7f01c),
+S(6fb573f1,529a88c7,9f278108,82d9c8df,2a02ee28,84168ea,7ac41219,23d7a96b,e34f7cb1,e4c93ccc,8e7ec63d,4cd5c198,efba1a26,fbd24ca,2f09d378,30bf2589),
+S(3cd35cf0,c96e32f7,2023447a,f9ada5f3,8082543e,12bbbebc,947fc3ee,215ec98c,24ae2376,10990d87,f4d9257d,45857e86,de05f6ea,b06c889d,c44d948c,dd5c4b84),
+S(6b853761,e19278c8,11a01f0,499779fb,a2daec9d,a5ece88d,b25ee726,21f42eff,fceae86a,242bcc35,885a83fe,ca3807e4,13f46408,8d46f68b,860ae389,c3f6aae6),
+S(d32d3024,34b1cddb,ab02db35,4144d96d,845028b7,c8b5b45,adeb3ad,84eba58e,762cc6a2,78b94842,7a7fac39,de201c91,c92f25b6,b472456e,67407ad4,9b977b45),
+S(64275dbd,a2ecc977,3026dde9,f1a098d0,63986d88,8e958430,23ebae9c,82218f6a,e27c46c8,41829e88,2276ab9,e146635c,953db6e4,f1295efa,3111b0c9,40695056),
+S(1becd08a,a4aa040b,51fe7380,396a18d4,1fac0c66,91093cd5,d74a31a3,2b2e3a9e,abc07812,ee13caa5,b040cf7f,ff4637ab,a9e69db6,7834efa3,2f864858,ab138989),
+S(f9976dde,8c971e73,fbcd5ef7,50947027,711d5a7c,bb273871,cc293cc7,f4a1f732,408ca6e7,ceb96781,f0b2f4a0,af58f2e8,52ad5438,3399ddc6,e9a65144,282aebe9),
+S(fa71702c,91ef2cca,d80796,ef0c6246,9ef32e16,8f5c9ddc,9fc7241d,f3ebd2d9,94491856,fd63fe93,7ae6e95b,b35bc6c7,85732cd7,7305a83c,65ff9ed4,42f5e11b),
+S(b5ee5d7f,60398c08,f66d568d,1ce39d82,5c64c7d7,c65c030f,3e35e86e,c87b0036,d2c62b4a,71f9c662,9914ac79,7f34203c,eea50a58,ca8ed06d,582755b,380ec185),
+S(7aa05776,3de6393f,a4b36ecf,5aca8f74,6e5e68ef,152065c,820a2207,80452ca4,58d54e32,840a40d0,b2a8a175,4138a62c,f054aad8,85e97731,9fb3fd6f,d9729bfe),
+S(74b062cc,f09ac530,e607089a,8efb5a06,656dec8c,e1d1dc01,370e43eb,39594b1a,6d93d5e8,eb3244d8,8457e0ff,66cacb14,d38e286e,f42aa6c,3236b2ea,883e9f64),
+S(dd56f2ee,f4dbedf8,ba5efcdb,c569ed21,4aeb7f0c,e3aed757,e72c91ea,9dae7642,c8a30e73,efb151de,d38785f3,2f5a9030,4e62becb,b0c470b7,1f049dff,7b75c9a),
+S(a05bc315,ed5ccf78,34d888a5,788263e8,573a4321,7b0480fb,960e0a3b,e7575d0,9b8568a3,1b1b8f6,ad507db8,b6016280,28f43990,1c9e9f94,14ded563,6d06a78d),
+S(c19022f0,5c316bd8,e5c50a4c,1a0a6808,b7a1a696,8ccec214,da81e039,53baafd2,110b1cbf,5a01e8f7,95d0b996,a3e6c2aa,3645ffeb,59a77473,e51c4810,665a415a),
+S(feca2015,14edddc9,8aba216b,cc37722f,f6c60202,d16c6925,422582f,dfb241f5,61c06c06,d0e50e98,2d9ea3d9,44079084,e37b5c9f,9aaffbaf,c89d73d0,20dfdcc9),
+S(d3d271c9,2b843b36,a24f1928,efd4f197,c90f176a,70539f,e290b150,24a4bd89,9179320d,bd5577e2,d7e58d67,131e47c9,118e78bb,18690f7a,74e9b38c,99cdf6e8),
+S(2d12ae62,3f4b552d,4b7cdcd6,8f16c9e2,58d83cdc,b5fe567b,a5216cd0,6e94a2fe,469fca9f,8d15b969,8687e33f,4a6cb20d,aa8aee7a,a2911802,f6f26f1d,fb22d63),
+S(55c31675,9974d7ea,57b0c133,b6e1f1b4,9ecf0c15,feaf74f6,b63d6d8,ff525a92,de38ca29,5f85b65c,4b56dbf8,22edea40,19f61207,f16b6364,6943d43b,4a959f14),
+S(739facb8,74194ac1,e60a2206,10a82629,4f1bea44,ccb08f67,33fb30dd,79706bca,dd77cfb3,641a3786,109dcd08,700edada,8701732b,819f41f,14a55104,9ef8f38d),
+S(9768a20,2ecc0ba5,8524d10a,c6d2c18e,611a1215,401a8ca6,571828cb,ae5759bf,5d35c2bd,2e7019e1,6e6bed11,15a16d72,dd4c5ce2,fd848434,4d8bd392,c4a680ff),
+S(2161e7b9,858db630,a1bdb50a,6b13a6b9,829c302a,a836f0e0,d89f5a35,70065067,c565cffb,915ff76,7bab8f73,aba21a7a,9168274,d52681b5,301f76ae,a9b6daf4),
+S(2a9fced1,fe2b258c,6de7b534,212419e0,c6c1cd6a,50257dc8,79f954d4,c351d7a7,887f8024,d75a1f72,e61807f0,d8c310a3,5df7829f,714433e2,214f9180,ae552e9d),
+S(769d9e4e,8a1967a9,1df6e8b7,cf282ab8,7f9e773c,5dcb94ae,8af7b125,6254b879,53537a42,ffa46e16,63821069,f5bbc62c,d7a0206a,7407aa8,154c82f,dc390650),
+S(6fe3bbae,441f902e,7ea02e32,44e3ecfc,6c45ca71,9bdd5e4f,23f7fb3f,540d45ed,d0cb3379,c858c9e4,6115517a,c65d3452,16dc744c,60a6f1c5,7cbaa8cc,f4462123),
+S(6226690b,d8d94bb7,168670ce,8b4d18e7,a35f0fef,ab50c816,195f0b4,37fa16e1,cc8f53f,9d16582a,fd2be5b1,8db42faf,e8d83ce5,481a88a0,9c54ed2b,7023c3ba),
+S(1e5d9adc,dfb56218,1d10999b,336412b7,d8fcb37e,dc5d20ab,8f8cc789,55e8a72e,221d5b4c,58ee5fc4,8cd34b1a,cc9fe795,2d890d35,4047746e,405d83cf,392184dc),
+S(9e978fa2,ce0875b4,ff79d6bb,4f56a9c6,10d646db,c81cdb06,5430f9e8,4198b707,9608823,828dc9e1,2835e261,1026ea34,c9b4583,46ed41b6,4bbf8441,fd621e35),
+S(ef6ed3e0,587229f5,aca0534b,f632fb13,f4067712,9d41350f,2e92bc1b,cc1d6f8a,c9852e66,260fa65b,13ba714a,2629177c,80030b2d,867f4e98,83e60ceb,402e5ad1),
+S(3c104b7b,79c14740,46a032e4,8ac22ed0,1a8b8812,3fd1b457,977ecf3b,b82e2720,809d1774,22521dfa,f05dd418,e5783577,d542d683,8904cfe3,35d8215f,1ee63b6b),
+S(5fcf6b6f,de14e372,11d15178,fe37c914,bb9802f0,e67cd3f6,3fe72688,e9fd2dfe,4e468677,2032e358,25c89a7d,28fa840f,ef33bfee,7622421a,f2393182,ffd8123f),
+S(d3f81471,d6d530de,7b8fb0c6,125c1b0,596e4430,dd89a22d,94a516e3,3c1cdaca,31da0106,ebbd0289,c68bf092,381054ff,718a8bb2,aa65a9d,47a0ef45,acdb8e7d),
+S(c1d365d1,98ff150,ba208d1d,486de98f,1cb9e23b,4e83c58e,40d15f77,9b12688,7c11b3b7,5b8dfb0c,ddf97f80,e3ee4655,1242897e,2152048a,cf4910f3,2b819a3e),
+S(c935f87c,752efe3f,d1208536,2c49321e,ad521ffd,b11fea5c,24e1ed72,cea77a28,1cd31bc4,46b90688,266b9f3c,74426c89,ae4c442c,4184c3d6,206deb3c,a92d1fe5),
+S(2a88eb26,49349f3e,7fd6a43,78a8fdeb,86df60b4,dea3416,1c811a59,44a98040,e7fed2fc,a145255f,a06e13bf,9bbfb1be,6e15e330,9fd624ad,9b352c8f,1caff852),
+S(313ff59d,1dceac83,4c70fc63,f1f32df6,ceb4253f,8327ee35,ce4ac575,9ec2821e,d0ca06e1,30d083eb,8a7501a1,dc80398,e67a133c,973121cb,377e31d8,fc4bfa14),
+S(ebb8d7d3,81dffa3c,8ad10bba,aada6598,98ba7694,7662bfaa,e5acbfb4,36e6931,f01e6b28,fe03ffb9,42ebd387,a29c2896,32bfb526,58a7abb,34c10bb5,24cacf8),
+S(208055ea,a3c94762,5e9cdbe6,91584b6a,a060d127,63f9a305,ca360baa,9d601a7a,ff382321,b7f3b513,1551c441,f6a8365,13d16c74,f3b74345,a5100ed4,de88e00),
+S(1579f653,1ae0ef0f,b9da909d,959b82a7,1e158400,b5d34f5c,8d66667f,cc6e5c92,50f898cb,60c9630b,507bf817,fbfb7d3a,29d3772c,74e7a7d6,19bf4198,7a09136f),
+S(4b40b410,56a43404,559ec18a,1bb18544,ad8896a0,c8182f51,b9bd0b7a,ca178f51,a9f22e06,79e43402,d6397eed,285db77b,15ff1073,6a367a95,3a439961,8cca3fac),
+S(67673db1,2edf2be8,c0d330f,b26a04bc,bd0e6714,5c7b0984,11a59719,e845be8e,c34f45ec,ae724308,2245e950,f62b0c2,2b6e1b1a,eaf5d8d1,b503d9fd,e09e8cca),
+S(8c1ec49b,81d8e41c,3bffb5f3,7765bad8,474f647c,833318f7,b6227608,a1f8a9ef,fbdcb1a4,a418b7b,5398835f,8f68de59,c7430754,87f52c50,a968c40c,35f3149e),
+S(d823fe57,c0934eb,a2f15d1e,b445418e,e5092ffd,b3241d94,3748dd70,9e4d0733,b20ce02c,69b038e4,a5e37858,8dd0dcc2,f2433141,a2fbe473,e56d860b,379fe4),
+S(d16cd142,a198d5b3,e2e855c3,b1b900ba,12d0e241,c914377c,1c880cbe,c3e9a10e,e0fc81d8,9d32e421,70161026,97e51be3,91a984be,739b23fc,6e3d6649,109ca782),
+S(34353521,1fba36f,58fb6f55,aa0ccd4f,4052ccd5,8edccb05,164e82bf,111b0af9,4a9ce50d,2d0bbb0c,66a74a00,c91d5f7c,92b416b3,f0bca8b1,38e5f456,fc48f6fa),
+S(254b9165,d4afe2c5,eb4360ef,2240fcf8,f8f4ce78,8237bc4e,c8edd63d,92a8b4fe,3c7267a9,5df9d1d5,96208351,1739729b,25d07ec0,53f30233,acbf1f88,b9cd1f7b),
+S(a993528f,cb239c1d,eb824cfc,41ea09ef,72cbec61,ebcaf0c,4ea7890e,3aae0f3f,78b41a68,6f832e10,576820f3,552b181a,ef3b133a,fd5dca99,c7fd7b7b,247336c6),
+S(dc431b9b,2d0002c5,d46079ce,463fb29d,6fca380c,4edf8188,34c354cf,7f123f13,32ff1932,2de938f9,9be1fbd3,3c553510,8c1dc5d7,caff8dd8,c4db6218,54b9bba9),
+S(bcbc08dc,4ce90c27,54b9a79,ffec9320,3c78b60e,adb3f750,2cecfe12,d475773e,fb691bf6,8394b040,d2049147,6ee7ec8c,6d69baf7,a2ebdb5a,3b455088,3285e468),
+S(20ab53a0,d5a26bab,ff0700c8,945e2487,fef10dc1,1c523b2a,14dfa8e9,fa6d68bf,c6ec861d,dfe29d4d,1a23d3d0,99802f20,ade886d1,257f669c,3315ab5d,effef915),
+S(c58dcb0a,8700faf3,55a26e39,58c61617,3c2d5c07,824041da,71dc5d0b,6bc351b2,78ba4b31,5d716184,9bf53d1e,94a6ec8a,2268538a,58ce2f17,fa1ab6eb,beb9810d),
+S(3d665b4c,831577a8,c536598a,3cfdb3b,85e1f45d,566a0b9c,a6852ae4,171be6b9,e6a349a1,36827310,e362adc7,cde91f6d,e6330122,592d1dcf,a7917d1f,8948fece),
+S(6f8d4774,efe7b37b,d26f5849,22b78273,cc5ad16d,80f0f4da,8c54e167,33c5c7ec,b63ff2af,2fed919f,256de972,bda71f9e,e4a5256a,22782a0b,c06a7a48,57876d44),
+S(97daf45c,8666f208,ee72dcad,c4658613,b8466605,be2e83db,69104973,5516b1df,e33deab,5ee28d64,b818e2fb,6acbe9c1,cf060142,210235b0,dbd9514a,ddb57402),
+S(c712fcea,95039f2e,a87762fb,5e5fcba3,dbf7ff6e,658bb64,71a4f890,88e6106e,174f28a4,9b38ff36,1c28941c,b89c1d62,4606c269,6619d157,f05be89a,ca550fd7),
+S(f42d3ea6,d791c681,ef6c16ce,9ab763dc,df7e1f54,42512b3e,f9ef8904,f6f30927,abb04412,3f2f1329,17cb8a01,26d21fee,59606715,6a3735cd,4cf2969f,a506eee0),
+S(a77b7262,61365881,c1aeb570,12555deb,6fe98240,cfebf712,386fca2e,efe460e3,3200fd50,9500ff2c,df4bc618,f43e705c,b5000762,dc3bfd57,4ac66722,edc06daf),
+S(82af11e3,34b229e,16877594,b9f7f157,8cf51255,c7521ebe,ebab9a81,a2b1bf76,3182824d,7afc4ee4,2e5b3965,65f07bdd,b47d0f3e,39685096,e96bf5de,4c00f47e),
+S(b015e32e,802b997b,4c8db911,4cd0a3f7,8fe91699,a9d3c344,f03c77ad,508bb842,28aae64f,70b35de9,992216dc,ca1cd63c,d41179e9,b7ebee7b,964031c5,3cc56a00),
+S(580ae367,e9118f01,858d82d8,20ed6c9e,923f3d,be934b3c,d0860fcd,1fdaa714,94a96e04,8b7d8b49,fd12bc04,d6a0f7b4,a0bd671a,dde14d92,9d8eda25,ef3ce73d),
+S(b24a5ed9,65ed6463,b30b0be4,ee048957,2c62524a,50937daf,e863dc0e,4ea3484d,ed8897b2,3354ddae,149620fd,a3f7e17e,c8a5b46c,fd0d955e,7326ab1,2c7542c3),
+S(5f9b9a03,2b21c8e1,31e13c2c,8019db2e,524a85f6,3ae03014,d27bca62,971b938a,3f954d07,f7ef5c7e,e4b288d8,3722e458,d38d5950,b38ee4b8,35ddb017,68a1680e),
+S(61d23399,c8750a26,ff4220ff,c3a7564f,f6df92a2,fc133ee6,c9228ac7,56a77b8e,a3ea3176,80b9fe5c,25c74f3a,5cd0f4e1,73f9a47b,f13c6757,3ad9584f,81c0d0fc),
+S(39129baa,19373bf1,db83360e,c1cf46f6,cf6041f,7aecbdbd,c0cd8155,4047f4b,e524c633,cad2a058,3826b241,a0f9f90f,1c29aaa8,7fe9043f,61f243b7,35966525),
+S(9f4eb067,ba8943b2,7d9c90de,e3e3f570,9d470e03,4400b49c,8863852b,e42d2d82,7decbcb,df928f29,2359c31,5c4e9d1f,7c81daeb,4153b6e9,835fb10d,cff87699),
+S(c3c41675,59499453,4ebfe29,32fc3a8c,fb0bd4b8,f58fcdc6,111e68a1,2931d68,9a6e07d6,271039b8,e3198823,589508c4,353888e5,46e8a759,873fca67,a687aadf),
+S(389932dd,1bdb022b,aff12e7d,96ad188e,f2a38d,e07db076,d4ff0292,878a581e,591e7dea,d8378307,82c9df98,3eee4623,d736bf1c,7cada52f,9e9775c0,9b2c0e7f),
+S(6a24296b,4ed7585b,b6e1a7cf,a6bae760,bd87c580,c5136641,ae890ba6,c6aca188,d389a8dd,df70e094,32a77278,89142e7d,7a1ed1dd,63e56961,14d4b9a4,fdf7d48e),
+S(a3adc560,82a6a35b,76013450,a511c437,29000a3f,4df1cd21,d5a37aff,25236ffb,9e298b2d,73533849,d981556e,c4ccd2df,2cf8a84d,49fb32da,414725d2,e8bc8172),
+S(b1761d8,b63ede1d,92aa5d47,9de387c5,10085632,dcec781d,44b1cad6,ff59a49a,16e10005,9f5b54eb,fde33551,d68eb053,a91a17a8,65703a4b,a0e4fcd0,ee35927a),
+S(da2439b6,9512ddbb,8a3bdf44,c3dba4ee,1047594d,f274a33f,db442c6f,3313cb9,23a2b190,cd307fd,354474c4,95e6b0c2,df104478,e337e7d4,9acf1204,666f16bb),
+S(5247030d,514afa45,41d07a69,e5670aff,71d42ca8,d6258e5,298efd35,2ea5912e,76a36497,2edb4c57,e29d6de,9990e7d5,f542c84c,764831fa,86ef5ab1,938e27af),
+S(8d2dd8c8,80fd50f,94fa6552,3270fe1a,61c92810,3aa1fc44,d2db7955,765e9f6a,1a99666d,2f76e63a,ed386a7c,25a6e66d,cf3552f8,5979cbfb,355a91cc,ddee161e),
+S(f964ec9b,b42fff6a,87d268fb,b6f58bce,c53bbe95,5780f6d2,765c682e,3b29ee6a,f1b5d480,1aea1445,177b7e30,7ec2ebdd,4615fefc,59b22312,1ef80277,45790fb5),
+S(388ac82f,677422aa,c6576748,59fe634a,c9768335,b9f6402,dc089b40,186b8898,5a93f486,77033639,b9c0861a,c82e6326,e7a20e73,9fb651f7,ca99c3b6,b56e0e9),
+S(e67c3d3b,760b9bd2,10cd6ed8,d261c0a9,3a24395b,5bff814f,18d1b1ef,efc5e322,370323bf,db8d6a31,8066dcf,439c9447,72c8a049,9df2486f,426a1a4f,297b3c47),
+S(e3cf3c48,39595c97,a6efef6,98e75220,4d6ae09c,d4e7c231,24e16902,a175b95,91e50db9,f3a1a3c5,634fc2,6dcf9010,6fc27d4b,aa24e659,fd247c5f,93c83593),
+S(b16d475c,c60b5286,2bd250b6,f4ca284c,69e30698,96eb3633,18ef6b7d,3928cddc,ef3fe367,312a3e06,b992f862,8e5b0c75,5b6f6ff8,fd62cf8d,a0353a52,1e6558),
+S(758a7aa2,9433f0e8,ddcb6e85,70ffddee,2c487f7a,7800e6ee,7eaea634,c8c3b7a5,cbc5ebe,9bb4f480,2d50f99d,746065fa,7c484a84,30643962,50508ed0,a75ddc49),
+S(3c2b2b05,10564b7b,7f53dcc,406d4329,e0faae16,6259edf9,ef26d1ca,308f0352,19f44e13,cd4e6107,2983cd91,81f942a0,f4cf0f4,8a10426b,c3f30dcb,8693af36),
+S(ff644ef5,ec4f91c1,33ea443f,d783573e,debc003,7f74cac5,af866a37,302cae5a,50eaed81,332176c4,20e63c38,9ad9faf0,75e45a26,8119342c,b635231,1778e3ca),
+S(2ccf4da9,9aa616c1,900f566,89d356a5,1396526,d488b635,f10c368,ae066c2d,46da8b3f,ef5c7994,9f94721a,2656b55c,6946d493,49a03aa5,fdf90c0f,4a152ed5),
+S(5cf33ec4,cf6f3af0,18e94ca3,2d31845c,f1c4764b,2ccf3992,48467c4,b3f11924,a5cf6368,c5b617bf,6c69c7f9,fb0c769f,285720e1,432fe54b,def57fcf,8fa25b1f),
+S(5ba03c13,93b9a100,928e6e3d,a0cdeb2c,8be4d653,93a233a9,b7811e4c,d242da22,15f9029,4890222,960a70e6,8046c2c5,de15de6b,8ada4243,64357c39,b11cedad),
+S(ff9cb0f2,62e3a7b1,d5ebe749,112c8b02,4c766789,c2973446,ca2b8884,e5eb1035,f5194ead,3d090604,86d7f0cb,f72fb540,273eebd2,7c94a199,6f9f35a0,3834886),
+S(b747105a,da190d97,48094f54,ef60d1d0,30e3f57b,f32d5477,5c6929c2,975a3978,18f9265f,b2cf77ca,f5aa62a1,8e82933a,2cdad96b,2866b5ed,c18196e6,97e9565c),
+S(48c6d033,45abe61d,aca1dd55,8d782685,d05bf49f,2897fd37,ac112e98,1feb0ca9,853a71eb,1a1dc7f5,78adf995,a254e545,a1effac6,7afafa22,cd2c6be5,d9915b42),
+S(27d839e0,b29aac17,b84a7654,b2e60cc4,6b8d02ed,8079a525,cd0463a7,f21cfd2b,9974f97b,504bcbeb,d8d3f3d1,1db05229,69a72357,2de8ed56,ef877402,8a435c55),
+S(8fc52f0,3dc76184,195d95ef,baca3ced,9aa1b3e2,5f36c75d,65e67d4a,28337ad3,6e024d2a,ef78ac8a,d59450cc,de13c8a5,2d23eeeb,13d11cd9,7b4a9fdd,be716a69),
+S(afcfe9a7,44837fea,d3140ce3,4e281510,5fa23b8d,1f497440,8d6ac3c7,70b46c6a,253c825c,8bc94bbf,3dd2a33f,f6eebd7e,203a34,69858d9a,6b48638,5ca557d),
+S(e4a30e5e,16db32a1,83532b32,d466e985,d664be39,bae1dd8e,2e34ea05,d8575028,58bb5c1d,95922c2b,62aafb36,6bf22c8b,35d8947f,a082c4e,ce9d8ea9,cf24eda5),
+S(76ee906e,b69e9ea9,667d4582,99c6c47d,c0868bda,ad8622d9,b8a85a9c,be6faca,88f10eae,25307ed8,e519abac,a00f721c,8d08e1da,344bdd62,5f6077d3,4295f4ae),
+S(bd58f596,ba832cb4,2e3d7445,428f79c1,59da797b,317cc471,88188f3c,715d3cd4,8bbd7cd1,a511e88c,d7a904f1,6db60414,d4555337,1f72435d,cde9b5d8,715d169b),
+S(8d450276,b722186d,2e93ed73,3e45fd3c,660225a7,eea0d90d,bb6b7370,1b2dd80c,271816bf,4c5676a,86efe5c3,5ddcc606,804f4cf8,15d19937,16733964,e00d552e),
+S(7dad1a19,4b46b8de,f3d16ee2,6fb3d1b2,a9d9c026,c5923bb3,f4f88bfb,736c2b7a,ebd7b4fb,6afc3648,746823c4,d179687d,6d1b41a7,fbb597af,f028844f,b6377681),
+S(de25311c,898c652a,40fa3c4c,6022d195,e4f5d336,5f8781e2,2b0bd1db,5c733c73,194b36a1,1d99a3c5,4e7c5e7e,31846b12,4229ea92,74737a57,22056cc2,56f3723a),
+S(cb204893,6466f088,32470071,1afa626a,a8289325,913f28d2,f1e17ef2,8fabe7ff,c60b4373,bc81fd85,b871c930,827b6833,cfeb6708,c40c1942,676cd766,ddd7b390),
+S(6ab3128f,9735753e,341ac4df,9e4daadd,aa5034e4,831b9681,15634e41,da047af5,ddccce3,47c9c588,88169f04,78859080,27c821e0,1400212d,4e40ebb0,999c9464),
+S(c4b853bb,81d90026,c6463268,6440bc6c,42cb7afc,513a748c,dbf09039,82e98774,6ab31853,982a0b98,48173818,215f13bb,940248db,26eaa964,8300dda4,1482850f),
+S(4a489c6e,cd52b4dd,33956733,977fa0d6,25e4f721,d5389076,91a4a251,e1c65902,7f7d73aa,23f31098,c5522a38,1172fa16,a10b4e26,9457c09d,15c14954,bcc794f),
+S(d58a8e44,50f0ad1c,298d3add,5ae874a9,5734c031,3d2f27c5,5966c468,d8b0bd3c,7bcd6ddf,d7759f7b,3523852a,704862bf,4994f6ed,4a85c430,e9696d8d,365fda41),
+S(fcb440d8,6d7441f7,52b1aa2f,28d4d5ea,ec2fab70,a7739b7d,af6678d5,837425e3,ac13b9d6,a0022a93,67d81f8d,f7824b73,11a98184,30c5bf50,89f21a61,4b1d3686),
+S(3cb6a8f9,b1f8058a,dd2f9076,19a3fa97,8f13089f,fd0e41bc,8ca94760,9dfa9762,4968d4a1,8674164,74d98e8d,7110df5c,8c1ce11,903bb98e,4fac0a4d,1082edd4),
+S(2e719fb6,2c09e74c,46fbd39,abdc8e06,69e38992,4424a985,60aa405e,99ef47b4,bfccaa88,e1105982,de52f422,15c5cfe3,a82b7c4a,b5e0edee,46ae657a,46bc6d30),
+S(809d777f,f7e7d3a,d02f4c83,fab4e618,15a1c29e,caeb6d4d,8573889e,33035a5b,4d04a535,67a1a24f,f04f4e8e,259ebef9,cac4e89b,31cd8135,2f7037aa,da84c69b),
+S(6538984a,31b67a2,2bd11be0,2daa7449,2abe195a,86c08fe9,d1465e99,e08a407e,10610211,327949c1,f8e4b459,831e8fcb,2b7b4db7,c53dba33,acfcd510,aa22e935),
+S(e67dac32,6ff78b27,eb24b489,85d1ab53,60441d3b,62258756,74741a67,c0b37d33,48065a5e,21dd1e4b,b5c3a085,16f00aaf,a57e98aa,9c714663,63d168bd,90b72337),
+S(6fee80f8,cd36865e,f4548366,70f9e40f,3ebb2754,aed3f5cf,1d73faa5,e7e7c72c,d3d52778,2d4675b0,16addc86,445378c8,5fe38f75,3e3bbdb2,d8a73e12,461a5d1a),
+S(9940330,2dbfb6cd,45a98327,e00fc86d,171b39bb,811a0af7,bf0916c8,b04fd369,2a5bb90d,126b586c,6cebfa67,7518d008,b2348e11,362a5636,8e0b1d0f,8046aee9),
+S(43224e6f,292a71e0,3e1b3168,4a30fa0c,a681fe1,283dabaa,f5629633,5dfa242f,b6caef5f,77e5598b,b8a477e8,66cffba2,30927e28,d8e55b3f,fe71fab6,90c6f567),
+S(804e1a5b,8e16bb85,f041f46b,a0fa8ca6,a65fa2b3,48432e66,ec10eafc,1737ce1c,2b77d1c,b1acd0d,878013d5,465779e3,a55713bf,2be71990,7471962d,e07857f4),
+S(f52a94fd,6bb9d519,3692059d,868901a6,33743257,3ec200f9,61b6d964,d090f849,33512a99,94327132,501a0fbb,166ea870,f7bf1ed1,657d3080,f4d7ee1d,acc85128),
+S(6febda44,3ab8d9a8,756333af,86ce177f,32d782a6,114a7464,4b1fd081,9a436087,65fb2b1c,8df03ea4,2e72c6bc,82e2a39c,57f7912f,8f513fc7,bf97a45c,4f9e1fa4),
+S(da0532a6,176166de,9350ae75,7ee99a5e,9502f292,f842e94d,74d35230,518876a4,b3ff19c7,f141a7b4,f24dde01,a82f988d,8178555c,38e0816f,e1da20fc,d724f510),
+S(1db46fae,ef1d0a54,9217028c,1fcf73f5,6bd573fd,6c4b1730,f3cb99bf,2e163ba5,496640fb,ab04b388,3a35ef75,5d2a0ae2,17522488,a567d7f1,7bd951b5,98ee7456),
+S(e14ae4c,2f1483e5,a580d3c3,6ff82525,a6df21eb,ac91aa5d,39391e5b,650b5436,d54ba5f3,2db765ab,b8f6e464,5320cba,c029c13c,2edec227,d57d3cb2,b8b6faec),
+S(a382424e,a89563df,e7157fd7,b438c992,604a49bf,1462f590,b84591f,88ef7e01,b8a510c1,4bb0f355,6d432ddf,859d87f7,9f4c4448,522bdd86,a4e99328,2ad6f960),
+S(266c1844,3daaa40f,821c1ae7,7da98daf,aab29b79,36ada9dd,238c5fd2,73b45614,e3f38773,27910ef8,d5cec282,9b7d8b29,83a184da,870ab8bf,4f43e6dd,4f0cabc6),
+S(e7b29b98,b1cea663,3e686d67,19778d3f,f6af2d87,e93bd576,10c95232,e8ed5d29,ecf316db,b2a445fa,2ec84705,b453314d,48e16de7,6310b78d,a19f8a45,36f27bd1),
+S(d36a3000,869795e0,9eaf616b,6e131204,d341db61,7a18ef66,e133a59a,acc47bb2,24b6bc32,487bed32,9d9bc27d,b08ab6e8,114bb6ea,e813d80a,c3dc7add,9ded3979),
+S(c9783ed7,85dca51d,55e55a39,4c4e9b91,9c4d4c3f,ea461afc,51eef4bd,3a351cdd,e8e62138,4b4aa109,6d269fc2,a364a3be,e4584bd5,c551435,3dcdedb0,9037bbb8),
+S(764eda83,aa90cd1d,9cb96785,e4df2614,aba504bc,33403866,b6f13b38,521bbf79,9d1fc736,72bd368a,cf6f9d32,489a81ee,782ef74,964c44b5,6dc4bd2a,ad4363e6),
+S(f757e8d5,aae09922,278d2301,77f1c80b,5466f76a,f9f8d106,f0814d0d,b152484f,83ef8bdb,17c78a8e,1a4c54d5,d356170c,79ad312,6d62ef94,94c1b683,1798adfd),
+S(a180a3ef,400e4918,9cd8b3,e12b3907,5b268be8,4c83956e,9e08c6e8,230b7fdd,ebd5b8c,75f1ecb9,cf2c8ff6,e863447f,7c821219,8944686f,b1b758bd,ef9e84f3),
+S(5ed707bb,96ac41d8,8d85db26,fef84af6,d5f7d8d1,a680a0c4,8f23a1fa,89e37dd0,bf45cf6b,d0bb550e,590dca49,fe2b158d,e91c2835,3c75f49,98c1c446,8ad03e8c),
+S(f8dc28cb,f149265f,6b6499fc,baa6ecaf,78300a37,2dcae813,59cd0d8a,e00cc52,179468ee,d7fa52ac,372cbf1c,c5974532,de4198ec,10e75f95,43461ce,fff87415),
+S(8ad564f9,5abb28a4,5c807ce3,1b487918,f6f963c5,ac0cf977,c5fb7957,2954d080,acf894e0,35653758,fbbcb5a5,63d5c196,60d29b3f,315a784a,29168df2,98c8053c),
+S(14503a2e,83fe0cfb,bdca0382,e872da3,bd7b6d6e,96e02415,258a8989,55a18e5,8955e448,67226b0c,c529f16a,35a5297e,dee0fae5,228ad6c1,257a0204,93334896),
+S(86a30681,82b8006c,282bed7e,9b4654b3,ebf5c4ea,90c92311,a56a876b,3d78d183,1213bad,e418b68b,46ee5494,a7dfb32f,d74218ca,594686d6,f5b8b6a,26a4c3b7),
+S(8b226ca2,c060c2aa,13e581fc,9ca8e471,bf8d1c4e,228f9de0,2015465,43b7c70d,4c264984,52085c7b,e549c4ad,fee6e710,9cc7b9ad,b94e0ad7,f7798930,917d1509),
+S(ebd1c317,db586e4a,3792ecf4,4b2e45f0,ac727360,2848667d,19efedf6,c4c942b8,7c252d24,d2639fd2,2c0a7ce2,fb277157,f421e3b3,4d1e0f6f,ffe31410,213d06c3),
+S(1420c547,78d72aa2,1f54a5c5,83f82c02,b5f3f64e,cdd16250,3741f4d2,c01d0b67,ab4ad7be,d53adc3b,158b7cd6,7cdffade,beaf126,f17b8c32,62d62ffd,764bc686),
+S(e9728ee2,3744dc09,1e798ed0,786d7ec5,a31cd5f0,d2e019ae,3f52b8c2,42973d9c,9f0edbe8,edd17b87,3403b94b,b9e8fb8,62cc4463,52944322,8531a365,107c8861),
+S(c2c41287,cdef251c,518c1820,ae86f38c,ac816984,b14f3fa0,4060a425,699cb291,ba991c3a,2d04b449,5dc04fb,6bf6b820,a4c62a01,f76dd8d1,4897ebbb,cb40825b),
+S(6a63edda,8380737b,365e58fb,3a0fe1c5,816a8c05,f24b33f0,ba0c4473,45a0ba51,54ff065a,cd9c9ce2,876b5066,4f56599c,f22fd280,ae8fbc2c,92c38eac,c0c0fc1e),
+S(63ad7964,e9af4b60,78319699,f8846900,e41a159f,c5d1b924,bbef3fb3,cdb2d098,bcc3e4d,2c17926a,d70f43cb,31c4a2a9,1a89a8d,3b79a8b0,1ec9d9c1,49b606c3),
+S(c9e80434,cac460e9,bc245b8b,6cf501ff,3d64bb7a,a4ea5dca,c8932dbd,609e8354,87b2ee6e,a42e02a,9fac38bb,c013391,b9af1965,dbce484,c5a3bc02,86fa6172),
+S(c547f029,6388b9de,f6502985,2ebee9fb,f9e4b8b7,f7a320e6,c7576d9e,e30ba1e9,a014b375,7c859ac2,29527273,78886397,56324353,25906a28,ca6e737e,acce884f),
+S(a21349a2,a171bced,4034c1bc,f79150ff,84830ee9,95bac1b2,b1bedc13,c95f0d31,ea32dcce,6af2b400,4cb4213a,a67f3448,2b09672b,546e578b,28adc6b0,ce022db3),
+S(4457ae67,185fce79,deff71cc,f73de43d,23a9f4b6,f374f637,c8a99b6d,2d582d7a,1278a7cc,6f1a5a6d,58824021,af2657e0,87ece4ab,fc5dab51,f85312aa,f6468fb4),
+S(4c6743de,9af3d665,a0192f80,bd015fd0,d16fd42d,8d026175,df9cb80a,84e0fcb2,86cfa514,7d0a88b3,6a0b976b,eb5530dc,fea2cd7d,b6fb0409,bf1bad24,33bd6aa7),
+S(6d591172,8f3f1fa1,3fdf09cd,7045404,d150e597,64704152,1ba15b64,a8782af1,fd22b976,4e7007d9,ddcd3b89,9f060e45,c59e4a9,470f4d87,153581b0,11b7d2b2),
+S(1aae2b60,88895bf9,d199f120,506faa23,85c63220,81047e48,1dd7d0ae,6a6f128e,c3e73fe9,db489a15,87ed17c9,88d29145,848bac85,134857a5,7f2233fe,b558f030),
+S(8a42240a,ffad26ea,8125ba65,2ba897c0,69eb1e7f,e821451,4521519,817c3fb7,927c6b3c,9b35482c,55199381,b4997821,70be3f27,3a1ea14b,97dcb193,901787ee),
+S(a4b366e7,8dfcd7b2,3f997552,663afb38,3de01400,2798e0d6,b20ce8fd,43a78cf3,b6c6dc21,b22334bb,69f6db03,4860840e,da5c23ab,d3206be4,cfa3ad3b,b1a41c4b),
+S(44b8576e,7a2cf334,d5e9db51,86605975,36504ee2,3c138e9c,86fa9589,91a8a08b,79e1e4c8,2a61e956,1bd8076f,5fa8d029,d5150348,ced9a145,95b9a1f1,82a05d54),
+S(88efb8a7,eb91f4ea,6b97a97a,30bf21f3,94326140,ec60eeca,23adafc1,fb11ae22,c540c164,542181ed,38036b5c,417a6b22,819c4818,73da6882,c394d87d,21011fe),
+S(3d939a17,76686fce,f2e544c1,2406e89a,aa7256d4,8415e59e,f00e3599,1b630682,cb784214,6c633d16,4f3e47e5,d7fca1fd,bb46e76d,d94b7588,d21d6ab1,f6e1ae97),
+S(6cc31f3e,3e5e3dc1,ff2008d0,27ae58a9,a73857e0,26d1d304,3aee9f90,664aa53,15923b66,8ba62960,f2938e29,9c230e02,fee1f3b9,936c4658,36f685ed,e0863073),
+S(c8c42052,4a7837e1,57e5b15f,85c4768e,883148b9,bc490f12,27a2ffaa,9e5219ca,99f0b3e0,6c2c6bdf,6a105e14,5745e7fa,328bd209,720157eb,c665321e,c99c708),
+S(fe57812f,c8650a76,6c34f0dc,468f008c,71db839,331038ae,accbca1a,30d1ab9d,27f732e8,23ca34a4,dec45aad,7c2a4cd3,43ba0cba,f2bfb75c,6ed6deac,2e524249),
+S(451482a6,1cd89411,e533ffb,d5e3326,d1d6d7e6,caa31fe5,7531f892,5333a253,c03602bf,83bdd5e0,edea9cb7,328d8315,d568f3f2,be8ef1c1,7172c940,768ba474),
+S(e3aed935,8a98ade3,1206182a,66254c6e,4215efda,e5f75f0c,d72923d7,2d6caa73,f357e418,4cb28038,cf3d4abd,c9cae8e5,90a6da68,a984c169,242d2725,cf5b7829),
+S(26f048ff,87b2f0be,2559e62e,9e66aeac,222901b9,59bf20f1,df872ac5,b3172107,49fc51e,712b390d,9fd38df5,2023112c,85f2f29,5521bc,4ba8334d,7a133a0e),
+S(f77e22bd,5403193c,4532800f,2db0a283,d0c000f2,18a09b89,d8d10175,184089ea,7a8f9b5f,6e94cea8,dc8c4276,a7aebc47,8c2d296,4c37e3a5,5db10ec1,10c2d385),
+S(2aa4ea08,d6580fe,2c0fd0b9,cb266837,7b6bf2e5,853adc74,bc58804f,b8735e4c,81c26240,7984cf2a,8ffedaa0,dcd359ae,9772773c,534b9075,9ef97d49,755bbddf),
+S(93de5e98,8e136037,37cf4d1a,284125cf,2b2cded5,261b7b2b,9759f7a6,62aa5f53,5d2f3168,2a9c0f64,caa483f2,1a84d28f,3004dcd9,5d3344c3,e67b28b5,61e74d59),
+S(90f86beb,d1c5534b,105b7618,606bae2a,b0fbdb6,d4fa3f4d,f78f12e1,fbb81ae4,c887f5ca,fe5a0803,9e9d16cf,e5f61c12,678586cd,fbc7f65b,ab01b60c,be5dc191),
+S(e0a415c0,68e137c3,b5d3228e,d9d22d8b,b343fcd3,916f2e06,f2499528,1cdd5948,140cdfac,a0276f79,adfb826f,4c9b4a6c,f619034c,a7a3d0bc,9d948abd,32320e80),
+S(e9f6cc7f,e29f218f,be6aee63,32f731e0,5ab28caf,254939dd,46e3fbe2,5fb6948d,7c91feac,7fb402d7,8f71be8d,98dee704,c1a0a4cb,43c319a9,9b78e555,62349a39),
+S(136657f8,f5006a7e,89bdb5e6,e9a7e477,f78a29f5,ea5ab67d,c948a9af,680afdcd,b8570d97,c025fa85,6e1c95c7,a70db126,f2588430,cc01da2c,81fa49a,1e388b4c),
+S(2a11afe3,c4e73600,5a0be836,60f7c99e,6cb0acd2,b6a0745e,69d4c1ee,605cbaa6,a28072d2,50bec98,ded00976,d905fab5,91aee0f1,997386f2,c798b102,46bde95e),
+S(d7ceade,fc762de0,36ae242b,588ddd80,ad002019,aa885514,b98545e4,30ebe453,20e318b9,67c2f786,c53f63db,8686acee,84bbb7c8,3435b9bc,e6c664c9,8832fb37),
+S(505fb394,d184e5c8,d9a826d5,55ba9525,7ffc00df,3c0ede33,7153bc89,86e1a925,c30ce615,771a2219,40d3987e,52af5c30,8fe45b41,d5078eb3,821fcb8c,9ef722c6),
+S(330418e8,93f9360a,40656da8,883d1fc4,89441e5d,5a533c1b,23480695,8e67ecb,2103e7a2,e02ef7a4,c245b479,f6778cf7,e6419d4,41bba641,6f6c18ea,8bbd2459),
+S(1467a11c,31ff8b94,2270cd53,54297b4d,e22aaa6d,3aae02b9,51e7f998,e0345eab,9d3e32fd,bce7daff,10685a08,afbaa791,bc0ebc38,d7095045,1b227db0,74a18cf1),
+S(d58c9888,fbb41521,ded03c08,fd61032f,c403eecb,1c810032,e5eed64,a93c878,cefe41e4,8431eb2b,6c6e9877,fb83ac78,dffc5147,3c1e5929,28539567,a08871a8),
+S(16169695,7d2625ed,b6aa9bc3,9f7dc514,e6c5e60a,39114c34,b960874f,c8c66c82,fff007a0,918a75ed,5bbbe234,dffda70a,7e17006f,1e4afec6,140b9a3,b762969a),
+S(7c58b323,1bdca93a,a19b84e0,4312a347,5addc621,91c66fa5,a4bf97a4,b8b5552d,b1aa2ae7,cbd6f1ce,12b33408,513930c5,6335758e,f28f2a8c,c239f727,55ff37f3),
+S(7c40af3d,d3e774cb,7c56e809,23b9fa92,f0cafb2b,f1eecb22,9c204cfc,58ef311,4dc0ca37,90e023e2,83b8878,bbca65c4,28b7e89a,76bb0b63,e92e9d20,3dde7cae),
+S(a862b5d4,978928c0,49a466de,94176192,f1a57ab7,a849e548,ac12fb9e,369c916e,ca9126cf,7c1176ef,e6fbceaf,26760dcf,b1c24a28,96a3e3e5,a0051d60,ddcb4ecb),
+S(17b54d00,5d185207,b4d8966c,62d3c535,c94c6140,166374b2,958b27d3,ae202765,37399472,b28ecddc,7e54d0f8,d80448ba,a0ac56b5,df9b1cd1,6cf44139,4ed92816),
+S(40d75436,113043be,31bdee82,2ecc3a69,bbd157d7,72ec9b73,a4a3c96c,da28a6f6,835aa9ea,ab4c1ddb,35fa50e0,e26891d8,2b7e01e2,a237f4c8,c66c413e,faa7e140),
+S(32b82a0a,5c267263,3e021c81,ddc1341,7a69e8b9,7b814dab,d529e38,424bb064,ecb8c97b,aeed6bd5,c8b922f3,1b4634b6,fa5393af,aa5e4ee2,c84d4aa1,651b4935),
+S(ea460efc,85f7644b,bc9729a6,ce55296a,4277f0cf,3032775c,ff7fb96,da4c56e0,e8637568,b09fae6b,40a89f55,6f0cd0dc,a710fce4,b37329c6,57cdb05b,71b5b513),
+S(cb5fcb0c,942a860b,6cbdbcf0,1b8498d8,68c8b9ab,bb224b79,4b8fc38a,9fedf311,3248669e,9fbf75d0,f64d466d,e42fa01b,deffdce2,99b45c1d,c7d8154c,fba41a5c),
+S(79432c0,23a213cd,44c29e2e,f7ec5bad,1b4888ec,6673a84a,40a398b2,33aba92a,67cc9316,c2347676,b64e88ed,18fe3ff8,5c9e35b3,cf78d5aa,79c757bc,74d445c2),
+S(9dce010c,4ce908c7,d0d79509,27b8803a,d695e8b1,67671865,2f97e264,3a7b683d,49419fca,ede145fd,7cdc7f8b,65dc7b95,11a72fef,2264fb79,1c8d40d5,a39171bc),
+S(43b8b5bb,9b56581c,ce92eacf,29fa66ed,f76037d4,3656e4a6,bc0b7f1a,cc42803c,c83017d3,30b17369,70fc16e3,cf5c85f3,199d2d8f,a7179a06,1940bcb2,65313dce),
+S(b0c8eb7e,c0fb39fc,b6f3c18b,ef96cae6,b9a23f00,751a4d6a,3a2f5f40,75e544,d66399c,d48302d3,2dfb5d26,9219eb3f,d81412be,c523df58,77e5227b,d65463f0),
+S(b981ee1e,4f26ee24,63e81f77,f16dc05b,646e1fdf,d2a075f6,aa422e77,b3577cad,8a582c30,4d062936,baed15a8,9c39ebd8,2d5645d1,c0fdbd6a,d48c587,7626c612),
+S(d04c88d9,8ff5570f,6fa37dd9,432966e4,bb524a58,d3ad8cc9,21d0ca06,8fa80889,dfb4007e,4f3ca38,304373a2,931dc322,7469d8f,9683e7c1,dbe59c2a,a17713fe),
+S(d00d8053,68667056,55eca05e,53fa60f0,cd778e40,647154a3,c106a3e,5b8a90f,74785ee9,87323562,b815f4d,f9316a91,e489186d,7b1ef978,7ee398ad,51d8f94),
+S(87dac80f,34b74bdd,6b2047a1,ebc132bb,c83fded,82405d4b,691d25f8,3e4226c3,da7e507c,2b135b69,501319c4,77ed0b20,731b56be,3dbfb386,4e0f4867,f03b120a),
+S(95249c91,bdb94571,7b03d8cd,86bfcd36,3d51c012,38593cdf,243407c1,9322f8f4,a139a970,bff6a5ec,3d9876e5,6dc11286,56c98b90,ed6fa58f,157d7476,deb6bc50),
+S(eaa86b89,f5a4befa,1caf1828,bcda7c32,792b468e,9e7530e5,13f1518c,3014cd5c,329bf9c5,6e431d21,a4cee5d2,beb4584,e7aa01d0,5935d7a8,44ee79ff,85f582c2),
+S(b2ede9a8,6f324bce,3f62448c,a401d636,9a6ef8ca,89a48a9e,f9fa3bd,9138cd74,d942f74e,89ea55f8,a2642deb,652bf827,79252c83,b91782ed,6b3244a,439139dd),
+S(c03fbf90,797b672e,24d06d02,fd70ce22,778309b8,96053128,70f48b97,aff20585,c5d44056,b4fca7af,4b7b16b5,fee76438,f2a271c4,655df4c0,8de3f634,4cac13f),
+S(6da64321,c0642b04,ea7eadc2,a7739b20,7af8f1d2,fa99d26e,8e924241,4eba2a25,a08c3484,bf46e429,d7ced694,41412b1e,e2258109,b8c17dba,3370cd37,b8a77546),
+S(9269c7c1,4ce5d777,dab467fe,3376662e,6f266272,5e2695f1,fa375b9b,1a1c2c4d,4dccb6b2,ecaf9f7a,fa3fe17b,e2a4054d,bcaa6e33,25b32070,24d5e324,ba1ba6b0),
+S(a0933917,a532ed22,7a575482,c1090486,71a6cf38,1c6d825f,98f1938b,d3837992,c079790a,56f5e530,52760bff,8c76df6e,ceba6071,3e90dbc3,88b3527d,64aeaf9),
+S(bf2cda66,ceb98433,d3e54e48,cfc15b2b,92c94031,ca9810d9,cbf2562d,c61d7017,2d31e7f0,ebe2068b,c16e81dc,bf1caa0c,6ddf3b52,13849e91,a2bc1bc7,4fecc72c),
+S(d1bbcb50,4b9d78ca,ef980ea0,d2b6e8fd,7abc0d8b,3c9227c6,eeee3cb,956d6be,a1292ee9,ae1c3057,c45ea7ce,68cdf9d3,c19a6889,e58b321e,e9858dff,f4d324d8),
+S(3cc406f,a049f410,2a752ba9,30f83d98,81110a45,db5fc387,c2d43a44,de33bfde,1bc1a076,f06dc2b5,ec1bc062,c9c480c2,39eb5418,4006e94e,623d2bc6,cb00ac91),
+S(5fb9744c,a35cf11c,e11392c3,92bf0a98,5082ac15,5b265fd3,4cd61ad8,55532230,8bd17d0d,c7cbe859,4ff79a3a,15ded6a2,81bb065b,a78726a3,d3819ff8,58dbe34e),
+S(27509ed6,ff7bfb6d,31ff0333,a994f531,abed34fc,de8ecf75,642351f6,b259cf3,bf2f0e5e,913d926d,cdca7918,57afbae2,309a4206,b408bc9f,d75b3abb,174d14bb),
+S(a619b048,626b9e12,86535c8c,b5fdd8e4,1a64e834,1a8d27e5,d4179569,5fbf70dd,9f79dd50,8e50dec7,fafb80fe,99889701,54f382e2,c2b24d74,6d6d82e9,97049dad),
+S(1f8ea1f8,4bd83b5e,56a8e6db,67b5416e,1052a6ba,cdd161b,420d7b46,7070ce02,69b2865e,bd3cb91b,548a4aaa,81d74310,88bb6c18,2d914697,39322037,12760963),
+S(fd33ff10,574f02d2,e9c52bf,9a70b430,50917f88,a8eeaa9c,938c5f40,dcd1868a,25fd0d1d,80a21136,c8ac4a8c,4f369b57,d6221a67,3aefd4ce,be30d19c,9334c47e),
+S(75799364,7cc47d16,55dda6b2,a269f061,f575ec91,e05af43a,f7e219f4,4b5d2380,d58645ed,d803ca11,f12fb489,9ffbf03d,daf82c98,2b6529f7,28e476d2,22fecea6),
+S(fa0717af,d0f83028,3e8e22c1,c240d540,b81b761c,a1daba1,b45ba00,9246985a,ed48a3d0,cab1c4d1,59ef8f0d,e64a2442,c02acdea,43b5b16f,42a75a7c,68b787f3),
+S(164fa71c,51623816,52949c27,33c668e5,2a5e3812,a3532452,a6ef44ce,28f49da2,11ecd95c,3dbd9463,4867af2c,290cc555,ef22832f,d7040873,35fba559,e4f010a7),
+S(a213fae7,5dd15057,4b6205dc,fe03a2e8,cecbc7ea,1aab088a,fe20e8a3,b46a9a5,c135078d,f26d341,a767acf1,c7b449a9,4ccbd00,23459452,4f5b8f50,9b841042),
+S(515d702,8406f03,6e5acef2,1445abbb,daf7ecff,5a31a664,a24396d2,f5d12b0a,db966859,4449028b,f3e6f53f,5bc250f1,51ef3df1,59e26c0f,9f4a346e,d60f3876),
+S(3c41f639,e7705929,425ba8c4,2b2f77b6,6a461c81,3bb4e8e3,341eca66,a1344175,f57f10d2,46735f9,f6b741cb,4fc57242,7e5504c2,f6259b13,5745c5f3,a1b8bde9),
+S(b8bb579a,f9826958,8e288e37,3be73f8e,7b573e1b,b7f5c1ae,3ad27474,1e9f19bb,5c51d169,607ae4a2,5e9fa70a,f67e6df1,89f1d7d4,705c2854,9e4d731c,f5f97278),
+S(fe3701d7,1ecc1c21,3bed8ea2,94447981,75577963,2f8dfa1a,3cee1c47,858da678,8b69946e,8b7226c4,ccb1c5cd,8b416504,98fb7a06,ff8d27f0,da3de97b,74dc06c3),
+S(9e7880b8,5a2dc9f0,143407b7,304b60ee,8dbc2b44,4f751fbc,f1b4d25a,da219985,595e4ea1,2e495f97,f61d9220,4f8d06f4,1a78a3,5b6014f6,e82ed051,2697ce7c),
+S(b0d1246e,50c2dccf,7cc9746a,afa49227,62487f19,aa6835f1,1379a6e,f3c0f6a3,1dd6e8ef,973d8dc1,fa440594,a70b989a,80728e32,17fa0250,b7c1de39,b1174b45),
+S(355aaa35,f5699e0d,e8fa3d4b,d361123d,5b8bf5f0,c74a149d,7cc024e8,2998f7fb,f905e0d5,b3abd09b,5f9b8c36,25f2597c,3430da0f,3439b16a,ada46421,4b678d55),
+S(6eef7ac0,ee4da5d4,c8bb3e45,ebc67395,592f313,1d1ba424,1f909ede,818d6364,b0e832d3,92ea4728,7a35d4ec,861a43cf,6733ccb1,bdda8c9e,dd5ee835,92671a5e),
+S(7fbbf8ce,f3e99b11,8def70c4,aff57b17,79e4e341,750f7b76,e44245de,8d90ed7d,3032f38b,6570cdd,e39cd075,e4acf1e5,815a065e,f2a84a7a,8f23fb20,6a0c99e2),
+S(a9d4c727,a682f85c,b992544e,4e910ac2,beae12af,4fd74ca9,583ff9c8,c06644b1,794e13d1,fa08b167,433be416,c73d7f5c,c21413d9,a3d1393b,84e7e470,a6918686),
+S(332dd1b8,ab8e5b66,5c614e8c,807a9015,56612396,adab5c4e,e8ad5856,9c44b1da,d4b39084,5fc9c364,21dd644,c323b5f5,f5d45b39,2885065,dc6667c1,2cbf6b12),
+S(ba843971,6fd06d83,e4ad8774,4a82ca41,32954db8,b2bfbdcd,4935f6da,3df7ace,78facd39,b9739785,dab82b40,7dda50e2,db5d4b78,b9e57fcf,8c240b20,5aedb9c1),
+S(ac7129c3,3aecb4ed,e60d0ce6,2e2cb73c,798cbbc9,58ef50a5,5bdcd2fd,d167b648,7376ed23,196f4c1d,cf8b5104,5e2c808f,a7bcf43e,2fb9f85a,ac2b3929,4d704edd),
+S(17408c0a,8946aa45,387f043c,874deced,6a15eb37,7bcdbcfa,b7ec087a,80516034,cc942afd,78203ab9,77583109,a499b71e,18566987,48c2ee70,ee8a1c8e,60af5c31),
+S(4f0df589,d69887f1,ae4e72af,61c083ec,8ab634b1,7b82d533,2d587a22,6f8eca30,e734fe8,926d6662,50cebfcb,50d48e42,593350b3,f2456e77,b6ff5dcc,9e3f3b6d),
+S(b0d20898,74f0e672,92856890,51749d54,dc4ad1de,f6d12d3,243830ca,f8da2848,2e790c5a,79ebb86e,fd5a068f,864a7266,fe6d12e9,ec664f02,162ea3ae,e004a808),
+S(39d07f28,30d2f3e8,29ab5672,db6888c0,fd224c68,57f3d0c1,aba89da,3f7ca96b,590a0812,e58609d2,e28ae3e2,9305da12,f46b8b0,70c07b2d,a644a956,12f6eba5),
+S(20762b89,7ef06eec,ffce19ee,918ba264,4e93a2e3,9f46163a,99a0b218,a94171ac,e1e15917,3e3d5e4d,89cebf5d,6269b14e,784a0d72,e617fb1d,cf7bda13,33bbf989),
+S(d2f0ccfe,813772cd,f3b75442,bc16e554,4edde28d,b6c64729,16764483,7b104626,c6efce8c,c63919f4,65a6778f,4b397573,4c4a93b9,43a40ea3,f44d4cef,78ce5199),
+S(19520039,cb11eaba,ec1ef6e,676202bf,d5bc4bf8,4e40ed2b,2daa2a4a,2e07095c,fea234e7,3b01e2f6,d03768f4,a534c93e,c6e3cd50,457f27cd,7b6998df,b6e4cd7b),
+S(3787750c,f3d73be9,52209ea2,38558541,8b6e79b0,fe1a303b,ef82fd6d,b2c9bf94,b91b2fbc,a09d6fe,b19dae3d,49416fc4,a7c1134e,22982bf1,4aa0678e,c5cdc030),
+S(13abbdc1,a65ebbc2,2988a796,bb369866,4211dfce,d3a04d6a,6730d5db,6087b34f,9e4c4a2,b691acc0,b034b690,5488bff6,5397a267,13ed67f2,1374db17,fa8e8b21),
+S(602a458e,1cd32ffc,d35ce5cc,c5d7b597,7e20c0cf,66a936df,4eeab00a,b7b31918,167ce780,91340b37,dbb5ab8c,e6fd602f,534149f8,4d67b16d,29724802,a8aeec61),
+S(71082819,584ef5,2a690803,d24fde15,148e193f,35534d48,f7a1932b,d3f69928,9b2cb12f,668f96aa,824e3f94,79ee706b,c09723a5,4a588cca,22ed898c,c9aa219f),
+S(6349c108,312beebe,145d750c,1ef2721,d536c507,4f0123db,9777e920,c72fc1f5,131f675e,95b5c1fd,856cff13,57a494cb,46e19a26,b9218b67,c6cd2823,c9e877b3),
+S(892b764f,e954b331,7c5f8564,b67e7255,1287a06b,32bb476b,f616fcc6,ba329331,b0a0a00f,91d0d637,258aacec,9bd0ac32,e10ff4a2,dbdab74a,a15bcac3,d3fe55ba),
+S(c2f38edd,371ef544,a1443296,afeb6a93,6705e89e,fb23a13c,3dc6b619,ea7516cc,6ba10142,71ab78f3,1603a39,dee7ae62,7ee034be,ab1fa0bf,61e18e7e,df40fa9f),
+S(bea4f01a,7c61d100,da78c48b,e6277e38,6ec6c265,89a2274a,fd2e1792,b5f74618,d27126b9,9b074a95,690cff35,cbf949b1,8cf0c449,d76f2511,59f1a217,293ceb44),
+S(7bdabeea,d320217b,d5e2e84b,eb28b664,e9632606,28a0f281,ec4f2edb,3f3b4bb,49c45d86,f06c42b,4e6e2664,3c4613e9,411103bb,b7abd818,1ab8a0ca,b9ea116),
+S(a913e0ec,5e360f89,9c611be6,144a16b7,ff3d03cf,28851ecf,67ab457,53ec31f,9bc12b6a,8595914,333fa4ef,3096cd6,71ee444b,7bd6da65,67d91ff2,d1f278b9),
+S(ec6ab00b,e272be1c,f0d359f1,a7fa0f13,55a151a6,d03a05a3,6fee5019,6275846,42d200db,e0edcf3,634055e4,d66cd689,b197f872,d91bf660,e797518f,f4c2ad),
+S(a6142783,bdafb512,62b2359b,11286fe1,f15d7464,47f4f507,318800dc,c55ef428,cefd1ba0,4c19a732,aa498eac,9734197c,889cc973,6fd0800d,a051cac2,b0e4bdd2),
+S(5f8fea38,cb38f90f,342d7daa,95912083,7340591,c4b98ac7,c9c8cccd,1f2ce457,54c0d093,45974a7b,268f152b,d96541ad,80561ec5,264af970,9ddcf7c,80bd5a55),
+S(7b222e07,2d7cc37f,a3d73009,31ae8a3d,cc264153,6c538457,c153ebb6,d84ef26d,9dbae136,e560e343,af858aa4,20e077d9,f4e19cc1,c4f709d7,7875b44,780b90bd)},
+{S(53512a21,4a659914,82cc157f,da02880f,7c4ff9e6,47a93136,c1e55725,9ce7132f,3ccac75b,13cc40fa,5ab2e017,80f55f2e,b8e6a7e7,22b2e6b1,13a28316,b3c99d3),
+S(da8a162,a47944c9,9880ddd,c2bf133e,4ec5d836,54609c06,68dbd68d,63784b58,a94bfb99,53fb0921,7b659c08,fecf83a,92b7ed8d,8138c8b1,45f9198a,f7df758d),
+S(6eb60bb9,26ae0a8a,3f23d58c,e7dc6b23,f5c17366,2467ed14,61be451a,7513f97b,14225da1,8bb8ae78,8478014,6dc68934,8e4d60e8,41a46ce2,71fedc19,c512d6a0),
+S(b03b0869,1b3495c1,5d06c55f,54f1d324,b353d848,31d5c43c,4d524d3a,52b485dd,d7a61b34,9f42ad82,7145f010,e00fbfb4,2e20140c,a0d420ee,11069b25,12147e1c),
+S(8eb61e15,83ab8058,a3603895,7709ff11,85eb6bdc,14043909,1b1754f0,506c9bc4,c7ddb27,4c723f0,620fe2ff,2eb11365,1e19c551,32925a05,1b2a297c,9dde4a91),
+S(e09474b1,3a1975c6,147f69ac,abe0941a,333ad7e,59495b9d,20747e3c,92f65d8e,98b01b17,b57f285e,b0b9b0c,52f8f390,cf2afd9c,7e90a024,c8758ff5,11008725),
+S(20679abb,aa71c3b1,e4ae9454,dbb55cc9,fba632f2,548cc28a,e7f65ef3,c52335f7,158b4f49,53ef5e70,b1c1b847,1f7530c5,39a9e251,98ecab8b,d178b7fd,6b51d391),
+S(51e2c9dd,b8da0e35,ac6b6325,4daeeff9,cfb2cfb4,94ea2ca2,46e9ba28,4b86ff33,309b9033,a723ed89,9ffecc25,2fc3c44a,d4bfa991,9c968ab6,664f53d0,4c9d3757),
+S(b8760392,98ced8b4,2f1e9a81,2980e5b6,2e2ac1e4,2d6e8525,4bb7046f,68077fdb,310711c9,2b821f61,66854bde,4988708a,67e6c0f0,dd392b77,2435a50b,47d9277a),
+S(ae072fd0,c88a0514,a1db9641,50022cf6,c186d645,57be5748,7f8a1029,7cf32f6d,862e7709,f135acb2,2d3f2239,f1d33af8,288f7434,191f84f,f6a0bef6,c5544cb1),
+S(3390c74a,fe49647a,8c55fbe6,6b7eef3d,11462c16,8f4a4fe1,447fa5ad,3899ab0,ad8390b9,b98fb90f,b8885691,380229bc,24295d8,995c7810,5a7929b2,d0979027),
+S(dd7625a7,10121e02,527bcff1,80f5ea43,efe1c39b,50c20176,6d172c4a,1dc58501,4f6b4942,ac8b6d5,849f2301,9f5112e1,c250b7c3,4f603e99,80ca8743,8d7c8f70),
+S(ba116ac6,d0c9cfd9,16e059ee,d94ec9f0,b726e16e,851d771,340eb6fe,4bba54fb,aabc01d3,e65fe86a,4206570f,14571b10,5e226e3c,7d603b54,c1266f0e,258ca5de),
+S(dc7ce33b,19c27352,a277797d,a5b70697,6e875638,e5315232,ccc814b9,a2ebd97a,5e4a0969,91396fa6,6d1d81ca,de2d54e4,f0e4e835,ef95f74d,3f21f234,d5f5cd62),
+S(200a15dc,6f7b0885,bc49b66a,dcd41acf,b084059d,f55971d5,90173b46,e0755ba7,e68be603,f2c09661,af4e8ef8,b36ac49,270b97cd,f37260fe,9c27fba4,ebc3d828),
+S(4969c231,3887e01d,c2837bce,68667593,beab92d3,6f7b0bab,c8368c6e,7ba31d5a,75a8e9b1,5ab4c54,a88a8678,12b93d0e,81887adb,3653518e,81d5124c,4503ffdb),
+S(6f04a5cd,5913ac08,dfbe8f6c,57ce496b,dc05930e,56245464,6685ac62,85c3abd8,19fe0060,42a12c30,b7db3cf2,cf3e7a01,abd09063,6c84e285,2a045d4,301a8954),
+S(41d07a8f,26009140,e5e338e,7b3e136c,b8b51e01,dd80d441,de584af5,74412fee,a77aeda5,4ea2b2cc,853e3b6d,c128c15a,6e758ff9,d22a8a38,3e28605c,8000113d),
+S(dc52e1dc,e07a94e2,e1b7f59e,18e25e0e,eee2ea86,3f127649,a818e786,cc0f3269,c26c196b,a42c4a7c,331af677,e3ef1f63,8133dd2a,bcdc3c37,218b594,6547b3cd),
+S(e5c26f1b,311566,152138e9,33ff4834,c17e6ce8,62c84c66,4068dd93,5fcf72da,2f293b72,9c67a27a,6cb096ee,53726ce9,fa88ffde,f8c657c6,af27d995,c4df36ac),
+S(44b04185,5f6f4c6f,e6e6ca5,d71dbe95,2e1706fe,f9db95b0,9b073566,c235d50f,18f4285,cf142a82,bd26a508,2bb6b319,eecf0ead,a12f3d20,800de5d7,94d3858),
+S(2c4644c2,4ca3b395,655beb0c,32d610e2,f9477a30,7757b0d3,dca3f87,4b7580b4,6c726213,c7864e17,3ff2ed6d,861ef4ce,6b83882c,1c319b9f,6ab76765,26f5f7c),
+S(e3b2e18a,24306e18,c4cc6b9f,f42fda12,ea84329c,dacf0484,331bceb2,639f8ced,8a11b73e,4de49f5,6b00a3c8,2b366df6,afab3320,ed732254,c1deac3f,e2d4e601),
+S(de42b164,ce28acaf,ac6440e0,274882f,158c1e31,2f080371,5f4ee6f7,6bf6f03c,385de0b5,c533196e,b3d3d0fd,fdd4d0f3,d173566b,7d5f1f6d,5c6c3735,7a98249),
+S(3d018969,a03f0134,5b26adb6,31d7abcd,e6399f56,c532d486,bce5b501,98e4b68e,e8dc92f7,6a007d98,f6a548e5,3da24c30,d85b4008,2e7b923e,35a5f18e,93d772f9),
+S(c77978c6,4caccd00,27b31a61,769a06ca,636f8603,49fec444,4821952d,9a2fa7d,869c3fc8,1f722012,750d9f96,349ee0bf,e08044c4,f8af04e0,80a03caa,84331df7),
+S(f68d647c,e49e9660,efc740d7,1394b8e1,699764a2,9679660a,67566ffa,ead3d9a6,1d64d46e,1ffbb7ba,912b5659,656ce860,cb897a78,21958d3b,ef0185da,fee27c61),
+S(dcf7708b,a5c5e05a,4d65200b,77b5ec5a,f08ba85a,46a76bca,dc1cb444,fef50aba,80c88800,d22637cc,6082bdf5,6774efe8,31095951,172909d3,4a400798,c34db159),
+S(3dcc7aa8,90604a5d,bb22a5d6,91a42080,ff5844c,5c756fcf,86a2b0cb,becae,4b1721cb,e93246d2,9913fec7,16673f3b,8a02e3ac,dd258db1,d2a22bf0,4412bbce),
+S(961f4700,f8c7db80,a5157a76,181c9420,9950735a,e1805e85,7b204f6b,e9b7d33a,85d980ef,b7a33331,4fe0c3e9,1ad61569,69ca8902,6951ce84,cf26c0b9,7d67ae21),
+S(54d1da7b,87d57e72,1a6fb923,7b7be29e,db200b81,dd891b9b,9183e3f9,d61da16c,c7467f66,9010912f,e5dd6bd6,ea97451e,3a95d89d,2abcd2ca,ff0a3a9,b90ffa0b),
+S(1072acc9,b5fb92fc,41b3fada,7d5a4434,13c73a1,734ffd33,94df394f,ffbff1ae,87594f8,f1f834e4,24756584,40664f8c,418ad3e,7a250e6e,863baa8f,a37e44ab),
+S(ae4d4dbd,e751b25f,ea37ee64,bc8db97,ded52741,72f97b8d,64149db0,b8fafa33,d19761c0,b0370155,817e2022,8bf31e5e,3bd0f021,3f4b23e,881b6d5c,733fcd54),
+S(328c26e,cb0f4648,4ab9dc2,c33d35a2,d0ead36e,8d1778bc,2771cf6b,55486c2d,63137d2f,a34981fe,f2e12dd5,5825b824,43f052f4,96211a46,995f0001,e6fe8322),
+S(ae60aade,4c91ca13,d847353c,61ca90b3,205aafb1,c5c2f2b3,305c81a3,e4c7fd3f,913184ae,93837553,2916117e,34e04698,96b052c4,a93763a0,5f8d7153,2201f1e2),
+S(a608ba7f,cac3c42a,20a61800,4d317248,e5fb7e69,b230cf53,567a4114,5d7cabe6,273eaec7,75b37b48,bb6f6ac5,695e8887,f8bde091,1884684b,e64b111c,f767ba1a),
+S(ca5033f2,97194ff5,b850ce4f,77f303ac,6188e43a,848fa8cc,b1423289,da634671,34bde31,85e18a14,c0701ae3,4941de08,7e55cf6b,acbfd7bb,9a68fb53,62656790),
+S(9fe36400,aa701955,6fb4bc0d,3740bc9f,363dcab7,2eccb27c,35a5d1f2,30f047de,2f841d40,bc786920,af86c55e,61c17d46,84b31096,72dea08e,3c04caa5,82ef33a3),
+S(380fb487,1f841eb2,69c93474,4e737089,ddca3014,d9c8f760,40f39b7d,1e9271f9,c7c9944,cfa05673,85d49f7c,7051a04d,dd2d7bcc,36f0469c,8904dcd1,354dfd5f),
+S(dfc4a0c,73ff4237,2716889d,e05c88bb,74462b15,2b02b692,6b41af3c,d52bfab1,31809a46,1eb7dcbc,8766031c,d8e02fdc,c882c7ee,a1e2f7e1,5342bb44,53b859bc),
+S(561af1ed,8ddbf862,5f1553f0,31e1cdfa,34b8f095,6bbb8ed0,365ad1f0,5c3b589a,965b8e9,c6926a32,edbd7251,251a8a05,e83e40f7,7ae3163a,4a6044b6,20e39620),
+S(d0a17522,1cdaf650,ed93f289,ff3d2199,e8fb3f81,7dfdfa95,f7685715,75a6e058,81f7478b,83dcff41,ec9c0cd6,c1515e02,d7eb550,282f37ed,168e6229,ce5c5d56),
+S(3f42f09,cd5db26b,df31bc12,a82b6517,aeabeaf3,8c4a316d,27594a03,ecf3de3c,c0494e41,89ece4d9,d08a3c53,ea2bce3a,a65ac759,eaaf07aa,c1a809be,7482ef9e),
+S(b7142a5b,239386c4,35fed19e,46fad0d6,2b4974c,f9a7c582,fc45af40,a34ca699,17db42dc,624a1d07,83b3bd69,fb6a8a05,e4175134,9a3d9561,1d4a74d4,28f42a12),
+S(c3e483,cd0b21da,31845a93,b75b60b4,800b5e59,43a9708a,251d0135,91d54cae,8e67983e,1469d74d,c61be1f3,f606adcc,a02c5556,a1f06fe4,2f6dce0f,c4c5236d),
+S(49d0ae34,23572f85,595efe03,963d6032,5bdd79e1,7a538a54,e43706b4,cf4453a0,fc1505b7,e4e126ba,2a0dfc66,d8bc8616,27918a9b,df985045,9df4bd6,2e0d2fba),
+S(9f8373d2,f0053731,f0e1cb2b,1ab08fbe,8ea1a930,87908d7d,5dc06491,7afb4719,f22bf0cc,9b1b995,ce01a96b,1f73f6af,bf92ddf4,ca57e29f,80cbe5ac,a8604ef4),
+S(f760b681,1374bc96,102e537b,8b187cc6,989602ec,118efca4,5391a344,eb82ba03,4592a7ac,655cc29,72e26d63,9a99eef5,ace2ecaf,ab414772,de2f8227,87c4d750),
+S(4f465aea,bbb79ea8,60c87a8d,541f9c01,afa48dc6,765c24ec,b6a49901,307c80d2,adaa88cb,e882a86a,2d7c2ddb,d5eb2385,faffe9a,ff52481c,dfd6b1dd,f72eb3f7),
+S(4f3dacce,862428f7,ab62b4fc,e20d1f12,19183207,64c2a51d,a80fcf1f,f86ed5de,97f8326c,21558e18,d4b7376c,1c14822f,d53c68d3,394dbfac,80a583e3,c668bad1),
+S(f1905b3,d04cb49d,3db59404,4037ef71,e42f4311,d59b3160,b917e355,75ca9e3f,c8c005b5,5f49132d,fb2d316a,b0214872,dbf36f7b,f2c876e,6397ac87,ce6b1f3d),
+S(8ee0a2bc,f853a469,27efaa1e,3356f1b4,61796e7d,7496cc87,8daa3f8d,11e46fb1,67b6599a,d8037160,f298c595,dd0a5a40,dddac020,d8c8c99e,c846cb81,13c13232),
+S(a8f55dec,3872a5c8,c3d7272,6dc06f7e,5c7bff2b,9a8354ac,a184f0e7,8024a4e7,a27ffb57,47c61b33,fe555376,5e2148ca,76fba57e,fef4dcc0,3777dea0,3b2ffaf7),
+S(e4cc6907,4387a6a,2e94ef7c,97daa582,9c2f84a3,9b71e76a,c0ef146c,a3209cc4,297b82a3,115c3eb1,eb75677a,bcca1e55,9d2caa0,31e1554e,abb697b3,90218e2b),
+S(e3c2e255,57edab4b,64295050,94470b06,e380e503,cd55b106,52cf9fc1,d56c45d1,6621db25,53c70d69,f96facce,bbfd4ea8,32262010,35983521,360bbbb9,43110b8f),
+S(8a27f3d0,b4c0ba60,b2875b70,33d386a2,e93e2263,a7f8ccf7,85a0a2f3,6488092e,9525a706,c37af8f1,5ec496b9,ecac74a2,e96ef02e,9c30abf1,2279bb5d,100a2ce9),
+S(94f34fb0,2d416fb,4819e24f,165617c5,8929c2b5,a0d00bd,e8c3e71,7ef188ef,c5cf6f02,c0bd9e80,15a436e5,eb837289,66bf2b68,64a5ab82,88564fc5,166ac90f),
+S(2a1e9e10,2e0ec944,bbb7c570,2ec1d655,525bc965,85dddf63,e4b4fc6d,ba65943f,64099714,f1c157cd,90393aa2,893703c1,ecacd1c1,87c30518,dcb05be1,d7eac677),
+S(cfadcd6e,b147c4d5,3502b628,ceaf389,73ff3aa6,b46a304e,ab7a4608,8a7fbcb1,21cb905,2c53efa7,ffc62ba5,7ea8b29c,4eae5801,2ac40525,6f095363,ae169da9),
+S(5f7ab5d1,86b95bce,a294528c,91bee6d1,c4dd6b9b,7f393f7d,db09a3d9,5d268189,9ba6285a,5ece8f7e,5cb8f8aa,4aa83910,3a2ff288,2864aa10,cd6f96a,297392c8),
+S(38f751fa,d2993ca6,c3712a16,6981cb52,168492c7,2676c7b2,94463647,5510d2a0,ee57807b,89b36b02,d1452079,6438428b,7fa4b2c4,d4f52070,2f00ea00,33b7c957),
+S(7c5283d8,c775232b,b03608ca,3707a2e7,5fffbfbb,1aef19fc,5823d8ca,2c5ee31a,6f645f62,29c3b646,c2b6b5f3,c2755ae,75a5a0d0,a6b732c6,38e946bd,637f7ce2),
+S(d78a18d9,ed411883,568b398d,56426fb2,41bb3e0a,4bea3503,18314611,b297d090,fec8298d,79aff51b,ccb9f9fc,ed37639e,aded3174,4d0d934a,b19c0945,8b538559),
+S(291affe5,8fabbd34,f011da48,53e100d3,a6638761,fc66874f,4760f7ba,769c9e7e,79c609f8,7ff45288,943bf869,4ec6d4e8,66c77f36,92d9e328,a85b1db9,92bec6af),
+S(8cddced6,c63b74c3,608fe52d,aaae8c2b,15be6e3,e2eaa564,ab77d22c,f6e2eb32,dc05e6e8,e917755d,3e54ea2c,21d74781,6e6ab14c,8ad778d9,b7809ab,aeb12d79),
+S(67716149,58e24e55,e786ae7d,64174609,5edd9dc4,c70ee3bc,d6764bb9,10253c2c,274f078e,7852a04b,fc766272,1c8290ae,95a7b036,45b20ad,9376504b,92642b16),
+S(54bca4a8,96c5abdb,c8170b62,bc7479c4,dd33f4f3,75f709db,eccde832,73d452a3,7b1f1e00,b7f117a0,92196f02,1e499e,5b0a5f12,e4361596,5fd253eb,4891110e),
+S(68df83,b0c12c86,a7ddd748,cd687bce,13ca941a,83b2a172,676971d8,566dc3a8,81fbb9d4,49ff2bb,851ade7b,18a5449e,83b2a02a,4be387fe,77eabdf5,964935f),
+S(245ac706,b6009bc7,34782325,c176f05d,d5cecda1,9a0183b1,d546cb4e,55f975a1,72718f65,fbffadf6,dc9ebab6,515e7866,af3bf119,739207e,415d4ef0,f1d902a2),
+S(548bb01c,70b6cb4b,d5e21e8f,dcbbdc13,76601235,9b1ae88f,2d615bfb,73ace38f,67aba9c0,d0532fa5,c71134f9,e80fa73,f47ad308,e27b6a2,3a3620de,f7e109a8),
+S(548d71c6,c5dec0cb,a98c55f,720493d8,f16c14c7,97245548,5249ae86,cfeafc81,9c811c7d,5f7b67d6,728cadf8,aa0c3f39,54130c9f,81a3af38,24e556e9,40212668),
+S(aaf4621c,4679308c,93fb34b3,d882aee,f7bed71c,23e5bb36,644b69d9,23ba66d8,bd4c368d,e9bdf4f,9788125d,9db04c58,aed4de1f,ecbbc52,2ef49b39,e0d8f54a),
+S(bd0a071b,396afe8a,51a790fa,f11c5db4,2fb2dba6,a38b4f90,f7df7d86,f3fd0bb0,3dee630,46d723a2,1299893a,9f5b0371,e9d30aa4,d24ca28,aa9b1fe2,2636e05f),
+S(57ad7d5f,7f45090e,4ffdb906,17ddb128,df3210bf,e10509da,dd71b00b,aa135e5f,58ba58c,b22308a4,d7d7c1fd,5f3935dc,69a5996a,d5825bb4,2fa73034,ad1957f4),
+S(308c94cf,c0234e10,5c147a0d,155818bb,d6f534f5,3c02ceb8,14fe03fb,1e0c2c2d,90860fef,f41da4d4,b457e267,3585b997,2fc2465d,de0749d0,dbc3b8d5,251629cd),
+S(ed769107,95f5a585,9fa26429,7e51b183,ed30cd21,ce489c48,6268ff01,9d500407,395ae9ea,b309c345,a6aed39b,f2fa5b62,a85801b2,74242b41,433735a6,41a3375f),
+S(e4ca72c4,2e3d099d,f48a2154,b7f7ecb8,53ec83e3,4a25c1dd,f7fe224e,50dd6a9d,5c67482e,fd84dc6e,96e3b258,758ef03,a9b72b1c,e210ee6b,b6125143,f2a14f8f),
+S(e0cebeb7,32a3881,66a10ad9,e4099f23,3b1ab63f,f214916,a2b24c77,de8c5d2f,6b15c084,c58da2ca,c074f02a,7dcf05ee,8b836bd2,bd7811f2,53df8995,6de6b3b8),
+S(da35f459,40db892c,9fe6d0df,98f18323,cac75843,d5362cdd,1706cf59,329faf4a,59ac2e36,d811cce,3f9596f8,c7376f89,5c13bd99,1e7377bf,b9742aa3,7ff78bbd),
+S(e1b0a76d,b4bd9e71,ce6bb854,670d2d6b,a6e8f792,bc303d36,bf3a9b97,46ad7833,1561faf7,6a4f6e4f,506ffb62,dc55deb5,6cfadfcc,9e4b14d3,fc5f9dc3,a5c8b801),
+S(7a51bcef,7b352661,a73ba2c0,27c2fd57,2d77c45,ea8fcfa7,c39cf9e4,e95d7e36,dfd9a155,29682f33,cbe45ecf,4c0438db,e11a6fa4,51017b94,a33a4f14,5db35a2a),
+S(b51f1635,6a08d923,dc87b99d,94399f2,41cf62a9,62eed5e8,de8b9a65,53d139c2,e48542ba,633cf153,43b97d28,157f19f,374a8b1,c154abe0,1624d5b1,17387b41),
+S(62be0f15,6e567bf2,452b941b,2ff646b8,97708993,8c054273,7ec99683,d07c22f1,63c8e8ba,3941e7a0,f90ca26c,2fbf9341,df5db636,c113566f,a8bd1193,411de1ad),
+S(78012331,5815683b,59ac7d62,54055360,4d4a73e6,453b405,b7364664,5dc78282,a02a235d,68bc552f,6627e23d,d01c2dcf,3752b513,a5e3d925,f9e43a17,4c947ad8),
+S(19d975dd,16aacc11,a25b6d36,580dcace,3cb19e55,f4a0c9f5,b221a847,c8d64d2a,621bcee6,c7662473,ac82570d,7f888020,18ce7b83,7b635b3f,d44ecae2,d0633f12),
+S(ea6d786e,dd234888,561afd6,a57d9d38,2a07450b,8bf787ff,b5763d3c,f9f7e5cf,ec4d538c,de2077de,a8c68b96,69bcfd9,700e2e3b,ef671a3e,38bd9d50,c785ed7a),
+S(edfdbc79,dda15c6b,b74fe3d0,711d933c,8d466dcf,b0a51334,48e9025e,85c0e669,e503a18e,e2ce2fa2,3512c4b9,c7e70dc,ff70cc6d,e6f78e1,74fc64e5,dfd4a2e4),
+S(d79bbe99,7c2ed85f,1f687ce8,b761caef,9629d374,ff3a1c5c,2e62aa55,848ba917,c87c80fb,db44be0,466cc253,5fee352,b52b65cc,c9ce620c,eeb0e09b,30dc49a5),
+S(9a3c43a0,230fb046,ece16ba3,29999f45,ffbfd674,a1034025,8ed4b71a,d76dbaca,84ebd352,b26289f3,d0f0827c,fbc95da4,79baa21d,6a98c85f,1a54e773,d06dfb9a),
+S(bba0583a,9915f4a4,5a015244,29bb3362,6d36cec9,f6d6e966,3d0d0e93,ab296a5f,f2f880d5,8b29cc71,23b7212d,a0068bc7,17ed8651,b262d8a2,67f2b959,4726eb79),
+S(bfc82f8d,50227d6f,bd7be2fb,fa481d35,9b2399ee,ad216a36,5ee7a0e6,25843e83,43c7cc25,f3c527e7,a42e15f0,d73dcded,987ead91,4dca8a71,f6e45269,e0132aff),
+S(e5a790dc,5c6399ba,43519268,e22fa9ef,1d93073b,e4b5a07e,d8c7ff25,c8674a1c,2dbe7dd6,c60650b8,91baa13e,7580afb1,c68c213b,cdbcb32c,b7d2f7a8,88f76a47),
+S(c48038af,f4b316cc,928b2b94,decd9975,dae28b6a,46dc0d9c,808a5f17,3b251f23,8f1af5ae,31eae121,b5c53e8b,59766137,7e064f33,107784e,751c0bba,43cadd4a),
+S(a0663a89,a8770439,4322ae5a,f2d6132a,e6882f72,7a30c7d6,c774d34a,50947e8f,6b3e8a03,6f099441,1b598704,55a2ae52,894a4aac,b49717da,4ac053ac,4a152d9b),
+S(776c11b,2c5b2766,ec2d3376,63672bf1,933e6bb1,70d96423,484cc0e,f75fa07d,7ad71572,7d6552ea,62188868,8ed43013,53846bd3,da2e772c,e5e7752d,ade5505f),
+S(6cfbc277,48c72aad,d60b2a5f,b04160f3,45fe3f2b,ce005f66,4a25e444,87ef44e5,96d309b,11b41b41,e851fd16,c4c751b2,be08a35e,d912bc21,8673ee4d,44d535b),
+S(6cde4b89,ae0d961d,3faf8024,b64fad52,9bef7e4f,9f7792f6,ae242f6,7f559915,d86bb9b0,de0a82ad,ede30426,98526356,5d7ba22d,6be061d1,f31e479b,3590e3d8),
+S(c2eb111a,62da4ddf,72cea94b,a85d2777,1ed639c,6c511c65,cd15dce1,6d4ed6ee,ccb342f5,3248ed9,b4e9c8a3,edc75d,cd519754,ec0e82cc,970a0190,40100231),
+S(199dbd18,e72e70eb,7c16d374,c32e4f21,6f6f1015,96b91690,a846edeb,83366c79,3daa0e0d,33059817,dec9591c,a3981891,7a10a344,1d5d5be9,2ce4d81e,1e24ca3f),
+S(7b175876,b6cecc08,324f0564,244b7912,59a04060,d63d9bb7,b1f9952,39b7cfcc,426a29de,e407029e,80872b20,3309b9d3,e99e9099,3892162f,385f7576,d9aef02),
+S(8c182626,ba2b47e8,8415413,4c131ec5,d0464001,9ddc60f,7136ac5a,cb7f7f70,3eb5783c,c185c51,12afd02,16ccb429,d35ae768,3ff5f3ec,7de3fca0,b24369cd),
+S(c21bf9c0,31fc1e5a,a18bcabd,fd278fe,ac280c08,d1edf19b,9dab3ffd,de8a6d5,9832eb2a,26d38233,f057708f,4465772,baeab661,c0b958ec,95e0e02b,94bfc543),
+S(28003d74,2da7249d,67abb09f,36ef29bd,3eec106,5c02926e,eef4198,a17ea4b,f7a23dc7,779c9bce,64ee2bd2,eca6fea3,78cbda92,40c6cc9f,cef560e4,9b4dfeed),
+S(de29158f,43169b19,4de65951,1c905015,2b0990cc,d24e73dd,a9b0fbeb,660749a7,2a39a6ab,42b79a7,f243a8f6,112333a5,8451866a,280dfe7a,ccf156b6,8f1f6f2a),
+S(5c8c9c5e,8066e79a,38e3450f,59f2e504,2a65db6f,44233598,4bf0e4dc,37550e62,d33b710f,8d84ee3a,b8481efe,7cc4099e,8a47d64e,bc0433d4,f966fb05,7e4d68c2),
+S(33853003,86c14fe8,1ae5ea18,1cd3ac20,87ed14d,6014bf9e,cc8b386d,dcd10541,db06c040,7ffee11c,5dca0af2,1856426a,97f3831a,850d4107,12b314ee,42ca1129),
+S(43506cf0,bcb58366,a3faaf0a,fc8ca79d,3022cd0c,7b17ba3e,a7ea2e24,8332670b,4869e72,44c0fe15,39a93b9e,c1c16e59,880394cb,3cdda9fd,d545d4d5,968d86bf),
+S(d13850f0,fa4e1a3b,12397c37,8b2f6654,46247ff1,d270538e,fa4d77c8,ae27b2df,91588b2c,c27f879f,ddd8a8ca,22165952,38224cab,e3090655,cb02b045,e869ac34),
+S(995b5075,c2e57ac5,3bf1d8c,8b9a4900,207c9dfe,b0dcf3c9,86662c2c,9ac162c4,c75e3e71,3c7887e,1a47a400,dcba8a5d,4fc7841c,7f76f0d,e150bd28,ec3b14d0),
+S(6af47ea0,6e2e8217,62482960,10afad10,b48d75e5,ee95f04d,66dce112,592cd7a5,2d6b4963,ee90bd6,21ec5220,6416178b,5d7b0853,7fe8cba5,ed06a25b,1078752f),
+S(fa6a5eb9,780c0714,6f5abc1e,52bf1113,bd512198,95233975,4d58673a,64db761e,e57e10c3,d00af8ed,f4d601aa,e236e17e,91ec638c,d01c0c5,aba1d243,b95c89e1),
+S(6d4b83ac,e44638b0,1a729bda,479705ee,e4194525,182dc1cf,f3002fdc,1ca3aada,1f57193,38c38891,fc6a0b52,c49c6bfa,c5de856,72c9ac41,3b137834,ae7ce48b),
+S(6ea5d9b4,d638bdc7,22e03664,fb63d6b2,368a9bc5,eb6f68c6,61f79579,d89d9de0,c0c306a5,6073a961,c7e85e0f,3221bf96,b09f8ade,da8ef6cb,8289c8e,54540af8),
+S(1a2f35c0,349c0cd5,1e4c9fa8,b8ffe4fd,8c595994,2d172dda,bb8bd8d2,d22628d2,55357f7a,cd9a9694,f2fb8a31,46546a4d,ae705945,766f8565,d8dee125,a9735003),
+S(34f6720,2a17f704,80565d92,d5d268f1,95cc0873,efbb0a45,62ee87b0,bada9e07,fb3bb7f7,f878b28a,2fdd81ce,71465d96,e3dc32a2,1dea4715,61f464fd,29b19cbd),
+S(93cb896e,64d0c453,3d82977a,872ae1be,1f1bd6c1,d4404ea,f7688496,2a214a86,f3028814,8f07a191,4e908ef3,66d447e7,1100fbc9,4ad1e4d5,bdd01540,135ce7f9),
+S(1d5bda0d,c6378439,d30df39,5516e605,7c8b5f6b,fdda8582,ccefec6e,3d68bafb,45e2182b,a2377a32,df9b590e,943920ba,482db2e1,443c4269,37a6fcd7,14555175),
+S(4d0c346d,7c4c5730,4125f376,9ecbca25,33a737e0,d5c4a85c,357a8f4b,792c02e2,4dfdb5b4,b04c0188,e8b1593f,a9d82ff9,ea4c8314,50231cfd,f5d0edb5,6f7679e1),
+S(808f8958,d263ad70,bdd91b0f,76f352b5,c5c280a0,90ad41ab,28d60bda,69b52052,cf8dc4f9,eaa81931,f29a4e04,a0929d3b,c710f43a,845d6b8f,c8c9af81,7fc66d77),
+S(6dfb47f6,e33f8073,9251982f,7fde21be,1bfdb916,41a8fbd0,1a36a2a8,6b10a3b7,447bb5a5,e1895243,d33d3883,e8210f3d,b412df54,adc9e35f,313a8006,141efe99),
+S(8894aa46,b158f826,12ad4455,35ec03bf,c2625d61,58de4278,2848a919,65fe5e,3d280519,aef54f53,81a73760,6c4ace08,e48e87a2,71beadb,cb17314a,5a0e4b85),
+S(bef6abd2,a6a2d391,a045c2db,24456a53,3dbda4bd,4e39c3b5,afb1e845,9cc6efa3,b329a528,f05589f,375c188d,83a3b7f2,89a40276,7482dd2a,4c5b07d9,df7543d9),
+S(2588cbc7,171a57b5,afbc6685,6546fcee,6f1bba26,7cf73a8e,1eee643a,290c8b7a,2b6872f7,a85118de,ebfbb42e,21bdbdef,73426417,f2cf9a66,e430892e,c189f192),
+S(e1362758,cbced085,6d7ef7c,9fd4023a,6aaff6a8,46be23e5,fb7e143a,e50d2fa4,1d4b750a,e8fd53d5,bab60889,36db9fd6,1c05bed6,87abc705,5882a4d4,45754599),
+S(f1bfab09,821e2d48,b8849002,5222762,b703615c,e89300b,3774a966,c5bb2dd7,5cc77e20,b0ccdb36,c48687e4,bfe5e264,50dbc5e8,df38b1c8,322777cd,1396d309),
+S(f3c5dcc0,778156a4,ed1fb225,bf1617b,cd56a4d1,4d91ab0b,a135b900,ff5cbe74,297e4146,42d565da,17933bea,4bae64,188843cf,9ba103e2,c33e533,15ca5ff4),
+S(b8c26559,6fe544a2,e34bedd1,88a82771,8e48f880,ef1a9e00,d4cb7ece,84f79c23,9fe1b2b9,f3e3f392,8ff8b8d4,a72670c,dd9979f2,883f44de,f74dc6b5,be093390),
+S(780b8246,11dffdaa,2ba0f9b6,154305b0,6a536c10,923fb056,ee6939c3,c456f6ff,802f9ed4,f6e395c8,b783b21a,d5b7e58d,6d3e17d0,b73c3607,39d21ace,7f05004b),
+S(ff5d8fb9,f80b0d2b,9135052d,97cd1bed,de7c0622,f0c7c9d4,7add4578,62570cb2,9cde8f57,d9f72bae,e90a6e0,89911674,bfb126ad,933439df,c9c1498c,eb38aa6e),
+S(9b05a751,91f7b248,f3eeaa5,2fed8be1,b1da6e9b,12313382,3bf46a8b,220bebe3,17c9939a,92db1886,e178faac,633fc1af,4249149,3b8e1c02,51c78d78,5c5ed5f2),
+S(ce661b0c,12d51507,d8a066d0,5f43680f,909407c6,9b0de379,875ba50c,c8aefad8,ec469d8b,c9095247,53f92cb6,415445ee,7fb4a67e,d28d3019,6e1e1d06,d585237a),
+S(20916590,d0a22ae8,3bcf92fc,91b93643,188d2289,12eca21d,5cefdb6d,a46654b4,2d7bf778,66ef1253,92854ac3,7846a5c6,3feb6b14,ba1b36a1,3b77ac3c,8670e871),
+S(ee7c4337,24aab6a0,fa304ac,50501cd1,a540309d,99a63c56,6b20165f,1283cfca,9e3f97ca,ea42cc45,51283884,b19c2d11,50c420e0,745ce88,8ae82918,4db7c50c),
+S(a23a466,57083750,56b5712c,2891b543,150c474d,2d02b9a1,8d72603f,b695ca09,f5b2c285,b4f341b2,966e71ce,d1e5c64c,e05e8058,ff2b4a2b,616e6f5c,40f5516a),
+S(21193f,20328f14,cb0d47e8,6bccbd5b,e1a2fca9,fb1294de,6cca05ac,f5697768,16147a71,cb2d0f18,38f1e80b,f395a13a,9c630167,caac326d,aa890139,ce162042),
+S(89db6f1b,d405c8d,b29673c4,2dad2574,ebec14ee,9cd6ad0f,1ac55f42,eff5067b,20c82a6f,ad90c731,420cdbe4,47e57450,d544006e,16ed9088,e5a77089,4911b3ea),
+S(1162e4a3,4f3a6d,6b360059,258a1a4b,2a316064,b2e0aa56,3acf1a5f,812a9682,2433cddb,650c9234,aa4d6d85,f8442d83,1a9fb48a,9e92e62b,aac0ba2b,c90d1807),
+S(6c439ed1,e0dcaa04,a87d4bd8,6898fbfe,80fd130a,c4721fd2,8707ca68,d1a99104,b221ecd9,2da68080,ec98c4da,be4c615,e2091f90,4031f875,db1e27fe,4dc852f2),
+S(ba5b6e84,f225ce20,7cccccc7,6646f78a,3da1942a,55792678,18e70aec,b651daf3,9c50d8e4,f3e0386,72bed48c,985787ed,62c4aed9,1f32b1e7,482801b2,be4e09bb),
+S(deb90434,437d5b7d,32228c47,e3e384ba,4424010c,20689aec,99809623,22cc3527,54ae32de,29288f59,e78e0fe0,b690b148,d60487b6,971e6c01,7561f49e,3b5855b7),
+S(19120ae8,baaa0394,8db3e91c,973ce918,e3b80039,15b8df5c,564f8b7,ee7d4485,c260a8e6,e3abca0e,8b84a937,a9f5e19a,160d7178,d40906cb,4b2221f0,d6b9b84c),
+S(d3f5dabe,754636a0,741b81a4,5abfcd5b,90b8acd6,94e58419,df0dfe57,e2e45c8a,f58f03b9,5c18b14c,859786e9,24ae9ed3,8d6c800c,57793e64,fc4a711b,71829149),
+S(84b37eff,d81d892a,df94d68b,2776ae21,47c56d3a,c9ce48b1,a5057830,eea659c2,b54b242f,7e438a9,ed18b0fe,cc8a4552,dd9351a8,f763a5eb,6a217669,444a96ea),
+S(32127236,3f659d58,2e0871a3,5aeeb25a,ab7acb6e,90c1feb4,dff53f4,a3eaf0a,cf01c0f0,8bb8ca11,dc6b019d,dddbbfe,ed3d40d7,2d06116b,62618179,fa8d32ff),
+S(1e07bece,17458a93,98c489a8,aa0acb83,21743558,f009aaf7,1be7034d,c6263023,b0b063f0,c11ecbf,f055cd8d,6e43d009,a7519613,44498adc,3f7c87a,441ec9be),
+S(d77e610f,8a969baf,fdacde3e,44abcb7c,27207311,c037e516,5a96f17d,a656ac7,645ef0e5,2e4f0786,5a7cac65,54066137,fd8536a1,2a4aa0bd,8f535254,72e731cf),
+S(fa630fde,2aeebd4,7ac7caf9,3c6b4523,cecc5f4f,5a26d0d9,a11d6b11,19816c14,acebe389,85a9dac6,f3d80e0a,a4271c8e,c81aa049,d9eeb36a,e89fc522,55ace7d3),
+S(e3e53a9f,a0d0286a,f56f1418,20ba1c38,1697e298,49fe82ab,4ae5109b,2bb2ac32,f0eb1f22,e432dc55,98844676,1fcdddce,de875b5d,f7d8cef8,109e389b,8720819c),
+S(1372173c,a0754968,db48bb68,87d1c81b,47686f89,c6859fd8,3d608fa,8a767367,31ab8ad8,be50a9bd,99a738f0,345ba781,a2d39e94,1ad9ef81,4d4ed33b,bad08cc0),
+S(5a82c886,754bfec9,69fbf970,2d87183c,4c6ecec1,53e50d49,d4a3e1ff,341b9b3a,b8abb03b,63e4bdcc,a58b3717,7f349fa7,4c87afa4,79ecc3ef,7e15352b,6d59d61d),
+S(aba39636,9a7a032d,8cda05eb,588a04e,e0b3e75b,dea52776,16af7bc,14423f4,63bc3d87,8f419a78,440099d0,e26f7e73,8597982e,4708604c,e8eaedc8,2c54a34c),
+S(1db97bee,460e7aef,f3132d52,48ecf43b,911efec5,1051efda,9a231ca3,a366bb86,8a297bee,fa67a334,97cfd06,211c0e0e,b876e570,e255f415,c37bfec4,bdcc129),
+S(d115ae92,b28c2144,a62c6272,50cf5b62,7641533a,e5c2aadc,cafaa9fb,7f180c0f,b7bda4eb,63064115,fe29dec9,4af5f9f3,12a354e8,24827fe5,d33e0737,ac3a8657),
+S(15234a63,9b7e216f,7d035d46,7146b90,2812f449,cd7fc332,ac8d773d,b042eb65,8c0d946,a55f5703,1c9ee375,b7e146d3,b1325114,72527aff,d4a6d36b,e96bf6a),
+S(25290f2a,b404b4a1,19bf8895,c0c31357,1b9cac69,7d25c6aa,303cfd38,f375b190,f7b23d34,2ac85b40,9729f41e,6977d70a,394c037e,8b43c148,e8d7ad5f,1cd35a0f),
+S(6a75480,e949ab33,dec0849d,80e4e458,e8a3da3f,bc7f0c10,521d752f,5fcfac3d,8ed6efb0,3dab1dfd,fb3d7c1a,90419b59,b4ed6a09,b76a1234,ec8f1890,ada92a06),
+S(37060ba6,e749f01b,99de96,ca96ee67,ba0c6765,6c1d10c4,8952aae8,80350ed2,7b5eaca1,b6ececc8,87dfc4c5,79cfa9bf,c9e72bf3,a6bcf79a,3877caa3,553a420c),
+S(e3bab26c,6646c20,279cd320,76c75574,4177fe6f,77de9821,36ec5162,5d13f5f9,3377bfe2,55a7c6e2,24ca5ab2,e36d535,75bc4333,75bff71a,8ebc1257,5f7fb0e5),
+S(ddad1dba,85a9b343,bc53d5e5,956b8b7e,11331b3e,8a572679,4b275930,b9f31e07,412686c2,1acfe9f5,3ddf0e5a,f5ff827f,c3c912d4,7a4a4d55,37a9a5fa,29bdc4ed),
+S(6cb6f196,a0deb885,568b7595,c3cd5198,d8755e78,9f194a53,ffb863a6,4858968d,56918ec5,2263ef0a,e34da425,69277e1,be8b7c97,880081e9,1532216e,c3798e87),
+S(f5dc85a2,d7c3da94,833d7254,aa8c4a7b,6b105193,eac25377,d20ff6ba,26a608cb,a311c934,58419e7,823207c1,8d1cec01,dab3a2a3,248d1be5,e36d5b1,b076054d),
+S(d8d0a942,57fc6e64,975a62b0,4620f382,c8946d2b,3a14397c,6f7465a2,1021645b,7d0c9f12,291e0493,87202b90,cbeb3d52,328a002,3b79b3cf,6c22e1c2,bbf4474f),
+S(a9bf9157,b48c2e92,537bc4a6,43d03a4c,a0276831,a00ae6c7,b31a6d44,ebdce70e,34444099,98aa2495,e7d0ce03,fb265ac4,76ed8c84,ae87812e,b52ed5de,d482c1af),
+S(e88b3754,d452d447,67b7765e,9bcc318e,2426e82,6f038685,e696b9d1,e2fc509,609f6fce,4e37102b,dc9def2f,77551726,a43d2b7,8d81a672,7997a94b,a6824723),
+S(3f5ce314,ec4060ce,9d6ffcbe,bc6fe525,c9f5b80f,7f64b92e,242a4768,5002f619,bbcc8269,297e4467,950bdbbc,e0eba72d,815822fd,6679f5aa,122b5b1c,f1ab4571),
+S(fccd783c,c1b4a564,cf93810,adebcc17,c2417f3f,d9358d59,ac32c13d,98c30305,65388d09,5f8d7c6a,1c0a40f6,16748b7e,30708444,acc9f90e,b644727d,b1984852),
+S(6e372625,ca297c57,192852da,61b97651,1b0a6306,9bc63bd3,bbc17fa3,2c03765b,3216c5cd,2edfbc3e,1e2da24a,64c3de41,1229bad2,e44b4548,86b4766d,db184885),
+S(364b023a,893779f,d8dc892,189f7565,b6642766,439d3e4,f9a27111,e001e191,74ceda0f,32a56290,8d9649ea,56c3bdbe,9a4c0bd3,dab2b99c,f9067a62,d34a9b6c),
+S(99374e3d,dea10db6,b493a0c2,3c2cceda,8ecb2b41,6364136e,2f8acbd,51d01791,f9d261f6,733d7826,af2502f7,8fadd97b,c3644559,a1d18162,388c8eb7,b372ae53),
+S(f1e858b0,2f8bab0b,12711388,70310289,9f40b11d,ba24c309,89e237c2,e5ae6aa8,3538eca7,9ae4f5cc,da8085c7,b53ddf55,adbc1b51,8d4ce4bf,9f00e22e,b7afa426),
+S(96424847,ba09f93,37b83bc4,f5b5a4d,a79bbd37,41258d1f,95dafe86,f3b8751a,af2e7579,e2c1cb46,5a8a5d53,473f7d37,398d33c2,6c51f5b5,954fc1eb,bafc5ffa),
+S(2f57a7c1,de175570,8ea98914,787ed66e,246a24bc,2ee81fc8,81ebc6a8,838f8e50,dddb2d2e,6254b5e0,e090ac4c,f758879,1c51b32c,f70361d7,f898258a,a7853c48),
+S(4762735f,ba8aea2b,9eebe42a,b1eadf24,1cbfb083,163f8f8b,104257cc,360d308,b03f799b,2b504ad1,e98ca6c9,fc27a851,63fbc620,9de110ba,cbcfe7c7,783a0860),
+S(6390203c,6c219a18,e6390e45,e8cef444,ca6de696,4ae43a44,e0700dc6,a735a125,a9e6e44,5a3aced8,f072c0a0,1f5d1d54,8f6059b2,880edaa,fb42fe8b,cd4787b1),
+S(2986e39c,d19ad213,b171b4ef,c24bac25,50a6fafd,7907f9bc,440af15a,35926a3c,ac5cab3,b35f667d,e4d2d7a3,48010cdf,bfe0e6ef,67287bc9,ec39daab,395a1e52),
+S(67337f65,973e6144,e4f10db4,d8e29ec4,46a03304,b6a949bb,cbac7ffc,ffb4ac7e,66589e70,64003376,8043360c,977e35da,41e22f6c,3c3299a8,e0642b4a,55c1b99d),
+S(3f9f9f1d,e2775ba8,96debdb,a7cbe0d6,5d2058c2,4a54eb7,c021c226,96aefaf4,776f68c3,292e0ef0,ec737629,d15c8410,7e40dc7c,fe846936,3f2cb18,b4e772e4),
+S(c42e2e02,20f965e5,3b40eda,a3d7b450,24b943e4,2067b40c,4662f6d8,1cdcedd4,89ae9af5,95837e93,6f419b4,7e8e0e3c,a768bda9,a6a5aac,801b30d,b34e0bd0),
+S(89f638a1,7ad9e13a,378cd116,38a7ca27,181b7d83,6d8423de,a2ac857,9a1cb5c8,83397996,e70f91d8,5a72747a,9c2dcdb,fe895967,1e2001e0,b8ec5acb,67f4d008),
+S(677a6390,82642fb8,dbafefb,7cda5bda,294e6f45,73312359,f6cf6551,ba0f2013,c3d208f6,e7c0dbf,f35ea183,9cce662,df4c0c79,d9ca62da,942a7601,f90c5d5a),
+S(e5f2952e,36002cff,3787b459,f2b566d9,aded6da,b00b31ca,88c05bb1,789c56c0,6e635a5c,a6bfe707,f8111c0a,8853caa3,52ae42d5,2835ad76,7e6b0b34,de24d626),
+S(e9d7e208,e3550536,e827e2db,1b5e33dd,6e3f520f,eca9c121,38ce6c79,cf9bc2cf,b2c90c54,90ef649b,51508c18,f9e2a87d,c95e7446,7434d9fe,cf362304,6c75a548),
+S(76a0047c,a21f1cdf,f1934c3,73ab3c14,801f3342,e96dc8b3,d9c9f9ed,8ed32b33,28c5e795,f0cc967d,36a06b75,51338d8c,1967a2ea,47468a93,a79927a8,b93f22fa),
+S(6e25a2c7,1c4d0918,45156c41,a6158082,44141684,a148b2aa,a0a29116,4ce9f7a6,b47a5db,c22779dc,f8368917,ab2ad290,f0ca9387,738a2cf8,f6fd00f7,f7120c22),
+S(5dccf366,b6a32767,f0e9f544,315d56,754780b8,ffe31bd0,4cbd4082,8df79dad,3ca94a06,188ffb75,81f6db19,4a40b3f7,c827828d,5339c9f2,1f0bd167,2de0f8eb),
+S(4f082d78,87db1b89,744007cc,14743578,634c144f,c199dc5e,6b024570,595aa74a,c982c1c8,8a724114,e164361e,12cc6810,7639a530,97392b24,f11e89f9,e3c63525),
+S(73dedc7c,8cd2b6d4,de56e4ac,9fd8e7ee,77f314f4,11d66953,2da150cb,896025c6,5805bc18,3267c258,8a7a5820,1e5c8f59,f05e8384,a380486,af07c89c,1b1a318a),
+S(8ac4c219,fa1cb64f,625b7b6f,c1278cd1,2958c9c6,4cbc964d,127bdb2a,e472b43c,7dff6939,5f076e57,6882d7e2,d0fcb544,1e301834,cb5085e6,6000cb23,cb621cae),
+S(72388fba,92feb394,fc6e6cf7,a849752c,41665040,54271441,c7a9cdae,facdba6a,cb846fcc,e7518e85,54d90f1c,286b889b,31bc2910,4915f30a,b36bd43b,e2234e8c),
+S(4b11582,3f8b93a8,5907a139,5d4ef6f1,2a34576d,bb021c66,9ec26ed5,150e5fcf,ae353938,3897397f,15daf2c2,736c3929,93a1d05d,45268cea,3cd62ef0,a340f5c6),
+S(b4b2effe,f45073e1,57b3beb9,59a177ee,89dc672f,c14cf312,fae3449,60064d00,bdfc076f,17d0523b,a83d21bf,e0f78623,ca0e777,eb78415d,965c4f6d,d1476472),
+S(8143ce9f,a7b5b232,3d3d6337,8892531d,12e3152e,e14ff290,1790300e,99434113,9b6c8eed,b575ba3f,94029d9a,5e7eb6b5,1952b760,2550e10,babec290,b0fcf0a1),
+S(83c04e84,9fd179d0,d6add7c2,6ee808e2,a75262eb,51301dfc,a15e6a16,4e698c51,a4c05e15,156790e,802f7670,2d10dc49,239f8d1e,fc9d612d,c7e8aa85,20b789a1),
+S(7f5b9f0,57d3b50c,c39e81e,150a741a,488c0bd1,2ca18fe5,cf871b6f,22832554,8246a447,5609e61a,a474db4a,c9f526f1,197cdc40,86c7ecb0,edd7ecce,2539aae7),
+S(e27a13f6,a1b82bba,ae5d0212,e0fa90a3,a6885ca4,684f91e6,dfc8343c,14841979,c9164ce9,a53ef56b,b5805464,7becc9bd,64a49103,70487438,87152f38,237ad8b8),
+S(4ba91b4d,e63fb74e,9c06885,340dec13,8f6013c8,f58abb7,5ef0a748,bc323cff,6595582f,fdf487f4,feb2eed0,206bd640,7f1a24fc,3cdb0fd3,bcab0d30,739efdb5),
+S(37a80af0,650f33e6,360fac3,19b28e3b,817bad51,bedf9193,c745a45e,93f378fe,5edff10,fd0229ac,3ee2794f,155c7f12,b50a08c6,7b5e6d43,8931af1a,a039f892),
+S(65587572,6c9a2bfe,9c2faa59,474247c,6955cf20,1bcf6c3e,513e7b54,2b5dba5f,8cbfa42f,ee790c4b,ea965128,14063b46,25131ec3,72028680,3fe69ae,2e896389),
+S(a289ebad,8d4a93eb,f7cad50f,1477246f,1345a3db,7699c9f3,9a7d94c5,1433f957,41ab3d30,9b10aed2,32fb4d6,ebd906ba,50e94f34,9e4e6ddb,a65ba374,d4bb6f82),
+S(d70d75b4,93a9b2b0,9af912d9,50336091,3e8278da,e73f188e,9d7f5f5,b159aa8e,fd76cbca,4edacf41,f568b81d,8f854fec,439a0ddb,caa0ede2,5f7986b9,a6ce746e),
+S(97c66bff,6c03339d,9b688460,58e4bf90,12273be2,32b1f5d2,89a426d3,72024ebc,3db99430,4cb5571d,7c5ff64e,76a90913,8ba307a5,ee8aafb6,6bc884a7,590d0e7c),
+S(b88b642,5b8aee75,ce0643d4,3e2a168d,2b1178c8,a9d3e5a,ce2aa55,1130f8bf,cb954eca,4898b75d,db5f9c4f,68f8d9b8,6fb7352c,112e222d,4e5ea298,6a47df3b),
+S(41fdc70a,bca5624a,cfe93282,1550ed70,d31133f1,83692b29,c8013601,afe6d0e3,608a7ed2,d675b20e,6a9cbb69,7df4a79a,f70a570f,a2676830,39b69c27,a984fdc0),
+S(3f2304f1,b643cdfe,630e184b,854895aa,c2a03f61,59c70ed4,a9837fc0,c0869434,df5e1d6d,11333420,be9df6b6,5eced485,ff0e4d5d,3ed79ec3,788e15be,dba57b56),
+S(7da74b0,687c9c5f,d063f1cf,44b2c644,d51b2e17,49a3f8b2,b98b0d4a,7ab43258,2537394c,a042c341,b5faa3b0,35f5f19c,fc2ec9a,f6f34c52,34980336,1d89fc99),
+S(88487901,eaf30bb9,27ed414,1a9112be,dbc46be0,52f43a1f,e910f23b,52073fac,6bb951c2,b7f30e71,9ee77955,50189ee3,9972adb7,fdb7a8f9,f335c8ba,51aaf659),
+S(ad5c1c1c,ec3033d3,9f3d1ced,41f2e369,de9883ba,3f78e7b2,5dd658bc,42aeecfd,90001dd,b99673e2,37405bbb,f4d4321a,496f4350,660bb9d8,d5613846,e4e6fe6f),
+S(bd8dc061,3da485f3,43335bf3,88a57a50,429d436f,a74a83e9,8d9d93a4,868a38af,173d962a,fa7cf6ea,65c8755d,870e4eca,1ef9ba70,97d9bf6a,be26b575,1fccef16),
+S(900c9c35,ac4e9132,4f60b380,c7e80b88,f33c9d7e,242a248f,6425f010,63d99af9,5a6e22ae,dade8294,169c4645,a4bd0e73,ee212154,47a4f06e,6a662a0a,a7b88cb4),
+S(e9384af4,a6f649c2,720601aa,7c5e62ba,2c60537b,1fd2c416,b2985601,1d18165,61295342,ed716c76,c4d35706,95a69bd,65fd9a2b,832ac562,59686967,1833b0cc),
+S(b053211e,e18fe64c,aba2f7fa,9d8b8d5,e79e11f5,8188a811,12b2f9bb,e61ca72d,440ce2cb,27a783b7,defa2d0c,a0334f84,7d623960,ec5007b8,56f8c7cd,932a89cc),
+S(6e4ec6d2,3a333b66,56977023,2e7ca03a,5fe1475a,d82bb93d,a1aa6489,997a65a2,306fbe38,9ef70003,2d69ff0c,8d483ca2,c321fde0,5e7bb1eb,8414015b,c1ec8527),
+S(546aaf63,1b68768a,cb4240cd,917afaab,60aab408,17e7d5e4,74525ebb,2638eecd,ab3e9be0,841c2b05,5b85516d,a7d89a82,9264d773,c3d6f92e,4a01a7dc,e157d02b),
+S(312287b0,260355aa,7b5ca09c,aa8773b8,27c1d703,eaefe0e0,99097e6,4f6cabf2,eb73ca95,f36a0d11,45ea347f,dac667f6,c32e7ddb,aa2ea5ce,e5f5443b,9de2b90),
+S(95453155,af512fa0,8c745c6,d125b76a,d0c76c3c,fa21e64,ee9109b9,bda25b04,958266b7,5200f00c,bbe904ba,80294860,bdf8ab4b,43ea7df1,72badd31,55fa414a),
+S(c0846d82,c4e06acf,9208af16,3c854637,242a7751,bcbd2f7c,f0c48cf8,b690bddd,3701a7e6,7161f8a8,8a3c8af6,337a7c63,864c1b08,6cc96321,a1748cf3,f51026c4),
+S(d2f24301,44d98d6c,a873294b,26a0f0b,e1fa3e20,96e98fd2,c2fc59fa,3744a432,c8bec973,52fd66be,ddc74ddd,83117873,3ebdbf65,1115fd23,58344938,4f56b194),
+S(1fd84c4e,abd5a38,847dc661,158677ba,1c53ca44,4a45fde2,b9f333e9,c5345dfa,59402870,3c5aff7,a508eea7,a419cc32,d2c72742,4e3f71aa,b54ebb37,c4c18afa),
+S(441c5505,ccac21ea,630d129d,538cb631,6a315281,d7b5165f,c8e837df,6de93828,9c035747,37779fca,92991de4,e4d771dd,a683c2d,97d15c3b,941fbcb3,7936670b),
+S(f48aff13,ccb0f2b9,29e760bd,fee45815,bc1b5962,93bdd09d,ca16feb9,e83553fa,a543a386,5a9762ad,90c4c270,743db1af,6a5764a0,ab75415f,3c8be28c,8d90890d),
+S(2758e9f4,7bc46ffa,19a0d74a,1a9faafe,effb2c71,5f271d52,6071c340,78228f69,1acdef34,44060612,367591d8,38256b45,1cb883a6,d749d80d,12edef00,ade9290a),
+S(af1d3280,417af143,129fd94,cb216f9b,d73beac7,c09a9d31,e7db9023,f568c3e8,27fac1d7,6f33eb8d,7766cacf,ff91936f,2c540a0a,a0e60c9,a6942fa4,2329ea66),
+S(299f64ab,28071d25,4614d985,380918d6,944174db,1c9d815b,bd334e80,b961aa0f,80ac4e19,47b1d355,ab9a85e3,e8c009bb,f6ee09a,9f99c599,4a81369,607ed3c8),
+S(b45cbdcf,14222123,d45d9f19,bc92236c,6ed90909,91081804,e0bf57a5,e0c724eb,1330030a,d6b49e4,5106118,1c9ae21d,606591c0,e326c5e6,ce09ef4a,37f1d15e),
+S(be8f11b1,c27d3ccc,40224467,c26ec9d9,f7c60038,deb6b296,2d3ee415,11292062,1db86cf8,130bdeea,debf75e1,8bdf0d7,83357050,b7c4079d,1eacecdb,19b7c34e),
+S(9274a7c5,af18755a,ecf84a48,9a0c81f2,9debcc09,9e875e76,fa3572fe,9dafe482,539bd087,e98d5d23,49ba9422,a99f4f3d,4241441a,59347c9f,57526ba2,358bdc98),
+S(8455cf49,a3e4806a,46747459,ea510a3c,5ddcd79e,1c062750,6478e38f,1577f3d,dd941fca,cb4c717e,3523a7d5,6206cbd4,3e4e2993,36f7698e,605b97b,4d927b5),
+S(8a4ae542,f82437db,801fc18f,ee57f9c6,d355d55d,29cbfef3,a498845d,5acca7b2,fce5096b,712cf054,bea762b3,521ac601,946d193a,cb229791,9409145f,753b84f9),
+S(1de9a879,fa9677,69fc9f3e,d0ac8bff,327d284,97278947,7672a972,bdb192f1,ae095175,6c8dd516,b1bf6734,ff4f6b11,4dc0b94,3d01659b,4525347c,3be62b30),
+S(764826a8,88303d4a,45db3a44,7fe13a8a,555f0973,da32ab3f,79c0b504,81ca23fe,14b29537,dc0e8a79,d2a64d1f,d8eb96a3,9d624216,deb614e5,2102b7d3,45dd9f1),
+S(19470720,24d9f677,652300a,da20e5ff,39814a7d,daa7a363,ad3100da,7ca8cd3e,c7d36a40,62edfcbd,243b7c02,f0313494,4db0d7d5,6097018,23e17244,3a49b4f2),
+S(346e886,d5a228ae,5b894ba1,fd25465d,47baa88d,f2c48000,9db7562f,e75f5e26,f2b61353,c4b6aff7,52318707,99e0e262,8c7d1da0,6b510f7c,bb995ba6,e1048f),
+S(4aab5528,f4423b9,9485dacc,66de7f6e,94c34b6d,623e9ed8,538b2d4b,97f74fcf,a9ffb993,3a816aef,69fcd7d5,78930e65,d05afb67,55370005,4913d30d,3f2f5759),
+S(3265157a,52941c75,a280bfd8,780e1ac3,62f1f5d8,20e62ca7,ed7d8b86,1440642,1dcf93c,525ec12b,97d1a700,f09f37f7,2d57a4a2,adc359ea,b1a514ac,a8862e9e),
+S(74970421,4aa5ba55,2d0ea93a,b57d7788,5bbfa9db,2c074169,345a6c08,5053029d,88ce8b1d,77f1ee5a,63967f86,a8b77cd5,c5785f18,73566125,7c99358c,9f78ba1f),
+S(6060ee1c,bdd369bc,a0e75dcf,36bedb15,a6c168c6,a65e4d9f,f065bf7e,c4afa889,eedda38,3a9aab25,689ce477,75273558,f2757adc,4a4d78a9,b693a1a9,f57a6e90),
+S(6c5ad52a,ccd3dd47,427ed711,538e5517,7aef476c,e9a3856e,c5ea6b23,60b5cb41,70e69676,421bcd4a,e23f252,a4d2201d,ab77846d,9fa00303,60f39880,6a252b8b),
+S(59b3bdd4,e63f22e9,7bb57319,c5dcef38,573c40d0,4dda14f0,cf799479,abfd0d70,be998425,f4f56645,2eccbb83,e4ffa58b,1144d70e,f9a28249,5bdee74a,6904c15),
+S(d2d11068,deff8644,b07d75e5,6eb440c8,1da830cd,427d4b2f,558150e,83fdf333,41f882d5,5b07cfd8,9212f717,77b3a846,ca57ea11,c40d480,16db8e11,f3faac3),
+S(3a87cca1,e244a5d1,b237d776,a170f5b5,5efbf254,dc1a67cf,f9578af4,6f9d784,47b25110,42be177f,bdc07222,9bae8b89,8e6b2638,6fdf236f,93148d78,31f71fba),
+S(82f63ea4,34aa60b6,fb16196a,c2979486,12a12e50,c5ecda17,8e0f6317,d858d026,22a4e99d,e5d95329,bd8662b7,82c32ae8,eb0b494d,6dc1d395,daa7fb23,97c5caa2),
+S(bbdaac46,6d3bd845,fe67a5fa,3ee5ed3f,cd2e762b,e35220b,e9fda52a,51795bbc,eaeb68f0,4ffce7d9,257236f7,f266bd5a,a85833d9,f4a06eeb,766bd426,b403b515),
+S(d3c4d162,862026ab,9263571f,4df35e1,c0789887,99bffad0,2b677a63,4d20a367,cc6b3c0c,c1cfaa4c,ebaba6b5,57b914a3,f23618aa,f7282448,2f3d6ff9,966bc6ef),
+S(558d059c,52a0b251,462be6a3,d8e0020,f5c0d6e6,44407dfd,62828a29,8eac4f3b,bf82d395,2e5a6d58,6108ee1a,f7bfdbcd,b4450f4b,30c72aeb,6109ed01,7c338a7b),
+S(880bf94f,48db9565,cca7e8d7,b646ab31,e9be0736,727c4266,ec68ae38,c0a04196,8cc3decc,aa0fbd8,36aa86b5,ca245e74,8e22e8f3,1b34fa8a,5a1de2e3,32d10218),
+S(5bcf6861,946ca2f6,258abc7a,9db72de4,20170290,ca0c6765,9bf93286,5d806dd0,ffdf39b7,1a08f3a4,1be73acb,d9ee2924,af21c53,22b9ff48,94408928,3cf22d59),
+S(53f70440,f6c09489,edaf304e,c064466b,2bd9ed5b,e9affe95,a8cb22db,d842abd6,a7e74cf4,55af4dff,3b3bef74,902daa5f,da664d20,be94863c,63cad3be,30b13ab3),
+S(d6c95017,439fcd33,9d122e80,a36ce813,f8eb4312,2db80ae6,e4b09c5f,277237ea,b9ce6112,53a6a066,7fd411cc,a1584cf,b1f05348,240b9b5d,f73aa3f2,637073c),
+S(7d78776a,46072c1a,15c23544,f013d058,a3485a49,83a1593e,aa8c2c25,351c0bf1,7caf8c7f,c802918d,602be0d8,48eea77c,58c9d65,15a7f9c4,8df5e3d7,ebc941ec),
+S(30586c43,54218314,3881348b,e81076f1,e8d3b527,8bbfae38,229ab1a6,6b9a49c9,d3e968c0,f94cf4e8,85b22bac,45cff2d2,e2fab151,36b2a2b3,fc2949c,1f9698f8),
+S(93b3fc28,34ea8639,8a15fa40,2ff48069,3bbd0710,c560915f,e66b798,2e402625,e9382fb8,5dc35590,27b78b8d,13730cff,c2b4dcda,64d27dfa,105fd5dd,b307436c),
+S(27375095,c1ae101c,11f6fe18,cb926f38,175d90a6,9e394884,4fe5331d,e466ec87,6aa32240,9ad70cf6,1b8ce6ac,6c518959,accef648,37839a07,8d18aac5,51ada043),
+S(b4ec8bdf,f517180b,5c87fd51,e5ecea5e,5ea6d107,525fab0b,6b80a0a8,d462345b,76950c00,5a2a7e57,888082fa,631ba270,af02a5c7,73e57869,f3295ff,74b18bf2),
+S(efbb3723,c386d2d2,bf0806e6,c42bf0d2,4bf94b7,b10d0dbd,d4ebbe06,d0a22d21,af0d1096,4781bae7,c7438228,b2525fed,962bedb0,b741cacd,9a7027ab,6a3b29a7),
+S(2b6ebf5b,24e78685,65aaf770,ba36142,51bbfb72,f49af29f,c55dff7d,a55674c2,396a0cd1,886fcda3,172fca09,807c929e,afe8b5b6,38d63b05,6baffaa0,743ed723),
+S(8229420,323c9f9b,d88bdf0a,ac9035,fd33c3f4,b1411cf9,28a248e9,bd71f95b,e8566565,2dfa438e,289d021,4a1531a5,632b1369,24c01cca,6897842c,1dea3995)},
+{S(534e9d8,bea140bb,4970b516,c42f2677,dc413f42,9b7c56de,e261f60d,ec68f9d8,e55aff90,1098b0a9,ea377acd,b62dc479,da109514,2654107a,28c68e9f,73b1cba),
+S(c3d305e3,8e23eef1,707ff287,74f82631,ffcf3814,ceac1e41,52d932a1,67c24c51,10234701,f8a8bc0e,66bd6d38,d3924b0e,b57bc295,2d2c190,e6ccb935,2baf8778),
+S(1f3f8c12,8d216272,ccbe44e9,43e82acb,d91ad650,72bd8ecf,adcfb1c4,38c44272,e5c4b103,a42d6238,39886157,43bcf8ac,ae397188,1abd5299,d8152ee5,674bb58f),
+S(84f33b31,be4a83e8,6ead05ce,df1c9eca,57c60eaa,fa917c7f,56f75572,902d360f,854aadec,13bb6307,70855f06,a77ded40,5be99eaa,93a06b08,dc0fd7f7,525613b3),
+S(9b4e0dc6,aed24421,2160f3d2,a0ad4ea2,8c9193e1,e442f632,a956b03,7f9b4db5,4d3d4970,9c0a7244,5e0b9537,2510902e,6fcf18d3,be72cb9d,c3c8a252,cbb593b9),
+S(5eeed41,8a5e9d4,fc0be136,b5799c78,bf819dc7,32280d6a,43f10f39,e17cf8da,7615a870,c5cfeb70,1ab28456,a912dd6c,c2b87fe9,8aedc101,bf3beff1,89edd2e8),
+S(413932e7,c2e1fe6c,dc1e8330,3c60e361,dcaa1fbf,88e3f329,96a77df,f39b594b,6891ea57,c7572d9a,b134ec3b,bbb65547,3e6932db,1d34a142,26b806f0,afc2cacf),
+S(f73a8ee3,b7345479,19a49698,af05acec,1771cfa4,91d3bdcb,81cd997c,b63ce64a,37047e7b,e5742560,9e1640c6,5e89b560,138a00c8,e11700af,3061c185,4bf8a2f1),
+S(5edb35c6,c68b4956,2cb6a0cb,3e75990b,7106668a,fbb71f37,2b167e49,5f535b9c,deedc3a8,56a5ee53,60e34c44,e7169af5,7a86438,b982c966,48e37b64,683bfc0f),
+S(71eb89c3,8f391043,3c7c1b8f,a3689201,ea234d5d,b82a78ad,2deaff4f,c2bcf53b,350f58f8,1a2a8a76,4c70b16b,6d6f5040,882ec073,1fc9e3e3,f09c2daa,f113d5d),
+S(ba4b99b9,71d6e91b,32227a44,be3712f7,93908f54,9ea958db,c1a425be,ed53cb5e,4b985486,76b813f5,df3c84b4,ef8f3279,94c65e14,525357e2,5f82a782,f2e1a041),
+S(1975444e,ccabe01b,dabf3542,f3bd4651,94515698,c2b03f16,fb56559a,8d5c66f9,88287b5e,140a9558,2e65ea24,613cd20a,e2811e72,3fb8b12c,dc7c5fda,c5e0f50b),
+S(e1ef5109,f37af125,d6f01cde,7b90dd77,cda704d5,121e436d,8ee8bf15,e2e4d4c3,458d2e4d,c8cd77fc,10b26fa4,c19f202b,d66fa6c8,e2fd2e4d,56299e7b,5fc9063f),
+S(983839a2,7b582450,5aba0977,80dcdc26,cab2250d,d895a876,b17a4a82,3faedf63,e236159b,9c330576,cfb674de,a1bec238,3018b697,b8e41cb6,1992c5d1,bf49c588),
+S(3f4997c6,b1efec78,fc198097,af19e301,16efe029,3cf4ac86,dda22ff2,78394c8f,e92d795f,d14cd101,eb15c75a,41c854ba,267d0557,47c81536,e887f97d,b67e3be8),
+S(1095049a,b90e7946,c24bc411,892f911c,6b72d0fc,12af1186,ec43dc7,bec41a6b,85cfc876,55842640,8f24e382,a4e91ee4,7411a3d3,f4a257a2,6419b495,68363dbe),
+S(567729a7,12f183b,e7ea601,68aaaead,594a778a,e9b936d8,a397a78d,f53ff5a1,cee7716c,68bb61b4,586d03e4,95f7bf0e,7c215870,e9f1dc0b,1f08111f,d855ee4),
+S(ccfcb55,f8da139e,ba60480,ca57d942,5fe16cc0,902ba610,fe8fd2cc,cbcdc016,4e4d8abf,8517b55b,8f6c0dad,3adc94e6,8d995917,de33d623,432cdfd8,188ba22a),
+S(869ad71d,22fb7aa7,7b5b65e2,c7b85a45,34185b07,a70a7a5f,fdc963e9,6de4c2ed,3bf234ab,30c8244f,d7a6671f,cff79848,ac53e1ff,fe104aa3,387824c1,f6a3659b),
+S(5288d151,6d72c379,e14361e9,41835760,73e67c92,6919ad4b,a69e29c6,43d416e0,2f010e43,ecffa3ae,3d8200b7,e6f35ea5,31cd3db5,c5079b33,1ec1611d,1881f8e1),
+S(b771768e,9e7bdb3d,76ae8a00,c4258be1,db77c45f,92318dac,777e9ff1,7ad71320,b068224,7f3fbb45,8e7deef6,7b52710a,5c6c38c7,5a94c154,9e503d81,72da0fe8),
+S(7444e64,88164e8e,575729e7,88dc3197,b32d04d7,403f9565,611ed212,a708b98d,ea2a9cd7,49c5a3f9,f2d509e9,5a69745,a5ff933e,1c87c141,ac5112c8,b70a4667),
+S(6e995fdd,ba6e0954,cbf84ac1,1d0990c7,ec5fa3ea,6b6f070b,2a68844e,ecea4ca0,743017fc,340132db,cb1d73ef,d1bf5bb7,95b8a0ab,8b898af0,3b2f36c0,b5b7d921),
+S(b60c9741,38e10b6,e879b4ac,8de83494,7e345e8,cb5a4320,9a5bf1cf,286f0f85,469d652a,c9cf7d15,268daacd,4630da47,d74ae560,6ecc49c6,9ce00afa,df51d990),
+S(70f4f8a5,42de7bc8,48555b84,6c058d1,eed230b8,6864a079,fb91f662,ed27f6c6,21323c29,bd6321cd,e946dfdf,d705894a,5025e2aa,abe9a0db,5efd1223,db2b2457),
+S(b23f838b,3aea4309,7b1fdfcd,bad0a3e6,225ad4fb,a01ad0c8,49985f90,8a7120f1,7569db8f,46491a9d,b6566f95,92e126e3,6fa681b7,d0653b53,c45e2cd4,57c3bc4b),
+S(9e447e8c,5d040a11,4964ac92,d91eadd4,80597e42,5181be50,5027019,df6ab481,c58a3c86,7fa55ad9,46e0f3f2,729a389,b8da3706,81c895be,5697090b,310e8834),
+S(6f98b221,30ae2b8b,4f5852e7,d7e6ef2,1241ff92,ffb63148,4c8265b7,6d863f2a,c4f8bec3,3f9b7f66,a9827e8c,216489c1,c93506d4,42938861,4658e7bf,239a6419),
+S(ecfcb0e8,f66c9de8,4d4f93af,e890e083,1b785a19,7b7994f8,c6d5ff4,63532df3,4d1d6d29,429e7c92,4f91a6a3,43b8e805,748b420c,b5536186,9c709033,87696ced),
+S(baf48656,8401761d,2994b7bd,44d886ca,9a1dcf85,14f1796c,5b39326d,8f9d5690,ad60d65b,28f193f1,5a120a7b,9bc692f0,100e6189,d26703ee,1a941cf8,bbfe0e2f),
+S(574e43be,ee264130,8e0e8d5b,dbf3f28b,3027c865,e13184d2,d2e1256f,4c56a401,e664d4d4,ecbae2fc,45cb7963,e9722bb0,8e72ce14,82f97e69,3388090e,602bc9c5),
+S(b289585c,25bf9b38,9d89b7f,5b98dc76,a8e7ca73,f753aa26,f5d6ee10,27e3c41d,7cd41d56,6a17bf53,444f8ff2,3ef7d117,4459b1d8,1bfb1534,cbe7828c,e717ec68),
+S(61ad4ac1,7baf7294,a482354a,1aefeba5,882b1353,b898bbe3,815103ed,14eb0411,d09a31a0,2defec0c,fa80ec5a,d4412b4a,fee6ae94,559db5ad,1bd7a349,142b352),
+S(adc1d894,31f83ab7,a6ee5ac9,49b0b3b,62a28c80,c5737387,47136161,494e967,bbc7affa,2fe3a76,96cf69b8,e0c95b38,5f836d89,638ea2e5,8347db7b,dc316d4d),
+S(345384f4,491801d7,11dfaae9,f7fcc4c2,adcae518,a993d0b3,f43b0e47,5d440b5b,bdd2e3ca,a0826774,e5e40693,c531cd7b,49514b2b,fec5b39c,9d995106,dfbfb5b),
+S(e2fff030,ca48a7cb,6d587044,fdd94a9,d81f5605,57750b77,7435ef6f,f4af95e5,847990ab,1fa110a9,ff895c51,20d9a300,c805b343,3b1fd578,a62815be,77cad922),
+S(b0342b00,a1bb6391,7154ea18,f3ab0649,45051137,1004c15,2a6eed35,adea23b2,1cbc4c91,888f52d,efbb6551,bbac455,ade7d78f,9e507516,ce0fc70e,d67e2515),
+S(948901c3,3f670c89,e4393400,14bf7e4c,e59955c1,959929b4,ee74b3e3,112ad9a3,2a39d44c,93906444,48294f82,bbea8bc,b431d2a3,48435b88,5eeab283,ce9c49ff),
+S(a7f64583,3fd0a62,367d4675,b94a5a49,f9fdf94d,c6597ea8,164a00ca,7a3d5315,b4fd7015,75ab42e3,9d51622b,c5639f5,9b67fc4c,a4f2f62a,7b6bc3b8,fc037d3c),
+S(50147d69,fa4c421,25b1b7d6,74cca767,11db050b,fd2efb0f,d2f05036,796f446b,5445ac4e,674244d3,532f046e,127692f0,71057a33,b7b40f73,b897e8fa,213e2ce),
+S(ff1db721,3b669b14,1f92a729,de0952a,86da626,97fb91a4,908441bb,117cfd00,62e7eb6a,3060afae,2084883a,662f780,ba42efda,13c1509b,13123789,364aab01),
+S(29ca39b0,ca50e1d9,c718e00c,7176c506,c2eae92a,157cb0c7,1fc50790,7278b727,61bb5ca6,85823de7,fba69cc,1cf9a21e,eadffbeb,15267ada,a8def3c9,a54de3a7),
+S(62cd6a0e,a50250da,650615fb,de2e19a0,6d0b74d7,316d7445,79f2be9d,f4023545,bd75298b,c2a3ce99,7e7eaf8,fedd90e9,9dcff8fa,e345ec42,c85e5ecf,61ee1654),
+S(4aa8cbe6,57418299,e63f85c2,38d077b3,a1162f88,7d9430c6,1ec2fea7,ada0a758,6e360a94,7b07c27,9fd97867,e2ddd59e,3e77308b,169383e1,a7174188,fe507bf2),
+S(6640eff0,e4a7b619,1f66b3c0,ae5e0b7d,92e2955e,23ee7beb,8ebf2e39,65ae591f,b4634bcc,7ef0e6f8,5dfc3694,27a0fa2b,a0e9c0e9,caa03a4c,fd90b50f,72feacb2),
+S(d899ae0f,b22f7740,73013f98,9386e5ba,da6077e9,dc49feb5,ecb195a,bc6969c7,2dcb982b,e71ec202,472b4c77,d725c59c,ef6a5725,606d8226,30482554,16eb8287),
+S(c9691967,9032dc88,a4580ca,b338fa3d,812ddfd6,7067917b,a2a1289b,5330c6a6,47a8d9ad,608a3bb5,9eabd2f1,8ec9bf89,4c3cabb5,97ff03f0,93a89d8c,a6b4fc82),
+S(a4d25f7,3af5311f,26435b3a,31455ec,ee7a3b6,d6c7e850,14875a23,a7ad35c9,bfb5b89,af0362f7,f7f20fd8,a442c285,6f4d330d,247dc6a0,f8434a6,6c5a6d79),
+S(edec5d54,3804127b,a814f23,3aa3be2e,e5e46a6b,ec12d2b6,9ed7648f,c30ac1cb,d6009320,5fbdae39,38d1f797,a5184457,7b645345,c36f1d80,705e3c82,f97bfd78),
+S(257170ba,c36336aa,2591c583,48455370,9192432,10eca66a,79001a4c,8f340577,13a0acff,184799ef,a7211d79,41340b6c,ad8732a3,d57745cb,383bdf42,ff8e39ed),
+S(f5ae8c79,b6a65f05,dc014993,7f60b25a,6def44ac,30275e9a,d787ba73,fc5305e,5634e58f,b5603ba8,bdcabe67,7f757371,c377c1b1,3f67366f,c36027e0,d953d2c2),
+S(86c0376,2172c6d9,f53a9370,ca9d1ce1,79a2bb2e,c48211ce,d06732ac,80c9402f,964b4829,a76d7654,91e6a165,504b2302,5efaab99,b4cfc14c,2e84a801,fd220d6),
+S(3d481453,e00c8714,4c6048ae,e5e44267,1a601b5e,fa6430fb,54203ae4,c6fd070e,69bda5df,ce150a83,d861f309,349b3397,32620170,d2d9c259,5507c7dd,591f0dc5),
+S(8a8ef7e1,733c3e75,c3b39fd,7cac0656,6af1bd74,a240fcb3,b52979c8,2a56e2d6,846956b2,da6760b1,852cc3e4,d0eb39a1,7fd79c78,73dc1c65,9afb53b7,b25db246),
+S(ec2eb41,21923a7b,4449d61d,9e9a996a,75469c05,e86a4911,16c15206,97d741e5,488c3501,9fccb8c8,33b09546,9c27eae8,66a133ab,991a24bf,c00691b3,9e1d5be1),
+S(a8c08ac3,b959476d,8e58e8da,72323b81,33f55721,318c664c,ff5eb491,7aa19562,83bf5e5f,d76c877a,f10cb1d0,8b92d9e0,3a8f7db0,2c571449,ce3f5ea7,adb3d9c8),
+S(eef63253,739af912,b7cacbdb,3e190add,f2931c2d,e0997fbc,5ce02cbc,56a53e75,14c4d6d4,5143b60a,f0a75249,42582d70,fdc17027,e13a2460,84523417,9a5cddf8),
+S(65dc0be9,e7028f3a,c15e5e2b,1d27d339,d12a3a40,eee78b5e,4942975c,f65a781f,d635b3a7,97b5ac7b,c072fe35,9a7ffdb8,b1aecb13,fe933b3d,cb627b47,abb2e652),
+S(e0cd5d6f,81a70576,2c65193c,c0a2eda2,aa5ba2b9,c9fbca52,5148a4c8,2f2c746a,5ced8640,19c48e1b,8f1f97da,ea66cb96,fc71ef84,36b87a53,e2b5a841,1d474cd0),
+S(66d2d27f,eca16c6c,f8a68712,85f4dc01,92fd503e,6fd39cbe,89007d76,20a966d4,56551c4,ba79a293,fbad2b84,4dd1f5a7,a6c8a688,656a79d6,764b9b0f,df4f45b),
+S(36d496cb,2749b975,9f4474c6,a4dc0283,e19a2e29,1c488623,210ba1db,1154ebe,a46cd868,c01b05f3,3508961c,61f0a83c,3ea06996,829aef29,37a93c7e,8840514c),
+S(4f53c3f2,5a858506,e11681f0,dbfffded,b6bfbc8c,63ed6d09,3028a55c,c19683a5,2a31675e,7e0f8382,625bec94,83bae5cd,76602e36,1dac153,45209b10,78fdcffe),
+S(9c6719c4,2f375d6a,c2891fab,c71bfa16,a40ef26d,b0ce93e1,46634221,da12d8a1,38c92598,10c67724,14f83d45,db2a5506,a993e277,f20a8430,97ba286,b2be9afc),
+S(115eae71,89f32e1c,28f86c62,abb7cc2c,5fcfb927,6b3d7655,8f7f1a47,8c9ce0b8,229377d0,9b80dd76,4fab10f9,7cb8c1ad,5f0c89b4,47ac663c,780fdf6a,71a0acf7),
+S(4f06c1f,ca76fc9b,d58fdd6f,12d0c64c,df9ef87f,fa579b3c,fe7f8819,aa68595b,12292991,95f91eb,18105a0d,b576fd33,1eba5e9b,f6944557,e9a54d9c,c7ac9437),
+S(1f18b838,ecfb11b9,34a37132,6d765ad8,b4a1f11a,6ad51d67,3e7d5bc6,8823e742,fe6d5003,e851cbbb,1d575d39,d48ba2d2,de8858c5,95e2e73b,26127e61,fea194cc),
+S(905708d9,b066738a,252116d3,451b2330,5ad84a12,92199acf,1bc0eb86,b7209109,7b3cb65f,6f34a189,584ce179,4112007c,71b2d6f7,9667880d,684768e0,9d706d0f),
+S(bccf7efa,808ee0b0,f19080f3,cb4c0fa1,2dc46c87,2a7ee71a,1c1a171e,b9f03962,66b9d38a,5582ad7e,8ed7b0c5,2d4e5aa4,a14fe624,a51d02cf,7553f7be,fd2f9ffa),
+S(fb6505d7,2fa3e83c,26d7cc0e,e8e8e160,1c46ff4f,299b06ba,7b5250f2,a20a4ca3,75935eb7,e923dffc,c3b0bf80,4861a3e0,a721266a,1395f424,16f26d27,9a582ca5),
+S(208d0bb2,1fee812c,e93934a6,c5571d1a,a8d8b6eb,3ad58357,90661718,86a4c103,7ab4af2a,e062e5c3,9f83467e,31d95f4a,c1e0d0aa,d77e2128,a8916233,97379bce),
+S(8ff01550,87e8359c,f5081e09,71b5b80a,e482507a,217114a5,8115577d,ffbbd5a8,47c83838,5bee81ae,6738ccce,e1149821,e433b9e0,e11cc919,3bd180d1,97a07519),
+S(dd938972,59966349,9edba2e0,1932c7c7,883c99b1,11f3dd2b,f6b079,770f7cd0,c485988b,373de68c,9a07d8d2,3d8380d9,ce28f9dc,9dcd3abb,99705aec,c87f0ea2),
+S(247f0d44,50e75f8a,724bc9b0,821e7e62,cfcc6983,860b1997,c73b7b90,515cbb1f,6b861e4f,2f5e0cf,38d91847,f5d159b2,25b43236,2e67771f,da2dcb2c,d79644e2),
+S(2deabce2,d1d31515,86894e19,1a5af1c2,7fde9b45,455910d9,598adc57,e46c8823,77016b04,643d44f8,6f279dfa,1a86f3ba,428493e4,89b16462,62e018ff,d70efd8e),
+S(97bcfcd8,dfd8f0c8,e7c09773,746ca7c9,de813c3f,14f6e39e,4e597559,adfd7ad0,5f948bc1,84d2ed00,ca4d3be6,6972c568,916e7120,cedb84b8,29f35cd5,dba65e35),
+S(d2a6e659,e88b061a,e26bb48f,10e4f1ea,30da5df7,2e9cbe4f,451fb413,c0eb9c00,d6c0e56f,cb2d383c,dc77b93,2c41566e,acd21f2a,93537f4b,683d2f72,547d9779),
+S(8a3069f0,b374dda7,b7c1e34f,80ade1b1,b439e517,595a5c88,8e3ab8b2,b2541e36,b13ecf0d,729b7cbf,aeb2ea9,6a80e6ae,32f9d46f,57ce4114,4c24f61c,b0c7183a),
+S(6160e9a8,a3c82af9,bfe8468b,5142d7a7,32d00cf8,2ced3a6b,333c188e,ee6c0df9,9c174f47,42f0d46d,aa03966a,e00595af,355c39d6,a7b17ab,637580a4,ab9802be),
+S(ff32347c,eb8aed18,ea6c314e,15ba2437,702b9d8e,a775f6f,a1b84b27,83837b2,d09e3f86,e37d1190,9f6ea512,44f9225a,6b8570a0,c90b8511,7a1eab62,f3220a37),
+S(170d2456,58ccd0fb,d8c01df2,a84132d8,3eb94d08,d8fb7b53,a929fd4f,38ad26cb,a83ab99b,176dcb0a,e80c5f50,5a454f15,12622c22,e6f7309c,7a827a59,944c4e8a),
+S(8acc0889,91014a93,e3649980,b6eb6172,44f56e10,8094b6ae,a7f16e19,1e566e9a,ecfb977e,a900e0a1,f6b8247d,703ebeb1,4524d5d6,95f6e46b,85ec9e52,a5795a85),
+S(f80b78d9,22cd9e20,83569df3,ddf58b41,dadcc3d,2a3edb2c,e31cf234,5a31cbf3,fd1ad87b,98a42acf,273a268b,c4f7493a,cc28cb9f,9794c833,153a0947,eaab549b),
+S(41b21d40,5602d26c,78028eb1,acb7160,9e53fb02,7215c405,edd90586,1fbc1a8e,55480fb1,3d718aa2,59f4cf19,b7eb7638,2d07c372,c9202c87,b7037993,90f309b8),
+S(3d49ee22,22bc61a0,9cabfe95,bd981686,73c2b42b,5d22698,21ec7cd9,6a488ce,2d461269,bfc6dae,48280ed,ae07ca1d,cb8d3e8,a1c9404a,971e416b,d2a5cd2d),
+S(7f9812f5,30f80bab,f35a5df3,ac0c4d68,7227fa14,74ff6057,1f8faee4,32cb8c74,805fec79,b3607318,574a9308,831c4db,1fb1cde0,c0094b6f,6e19b924,35e0f118),
+S(d5a33585,6c8da16a,6ebe776f,3cd08d7,e32fa2f5,c484a299,6abb9e84,60d0cd6d,fb1e3d96,f95a139a,2c968563,73813e8a,7cfe6ca2,bb97ed22,1e374337,9637668a),
+S(a138a71d,854f2f76,5f8d681e,84e91b52,9940c342,8f69184c,d469edd6,43d2ce2d,ddecbce3,a48b0457,66ef7511,b041f6af,f2df22e5,51aa033a,8325faec,bd9ef061),
+S(d9a0f20a,ebb51238,14e55212,4b6d723c,1f972951,446d736f,b4d20e5e,a9dc2304,fb63e167,90c817fa,40185611,ea346e18,a12fd1da,fe3266ba,c8c8dc1f,2312797),
+S(31b4f50a,d3476189,62a34537,10a1a995,e9e25283,af87725d,e2767e08,4f276324,98b32741,c8e1aa6f,70655814,ba0f34df,7f2ac7d9,40604bb3,4216d8b6,9e03d07a),
+S(23105202,c01e6e2,6fc5da32,5d65644c,e067817a,6b54779f,fb9f1faf,57b15a5d,2da13e2b,63b8c792,56a7b49,c44e0014,9f461967,7f2b4709,d158aa38,189f08),
+S(2e9bcbd2,8fa1b69f,76193011,9ecd8f38,c88d2c7e,f051780f,cb82d587,8e5fab55,93ac2ec4,33abd509,fa71237e,9ab6a421,4d453bb,9fed86c,2bf9b727,a84de903),
+S(7a560f5e,d2952cf3,342a1273,5c627eba,49eaa668,f3ea67d1,9a0bcc92,9b172ed,32d1b9e9,5e1df2de,4155bca0,bc404615,957b16b3,45568590,74a119ec,a24eb984),
+S(10d8b5b9,f230099,9b15ed43,17282c23,dba62c42,6725e112,6cdaa3ba,f07564f2,3e5d4465,4ff6faf7,3d3c5a64,bf27251b,de0320c8,b8f5e7c3,f2933225,4f0832d7),
+S(924850a5,d61c8491,6ae458ca,491d87ac,ca095e0c,3a37e5d,528785e9,10730e8a,6f115681,341d7598,552d8eb6,7171ddda,40594be8,5da3b9d7,7918d2d8,3316c738),
+S(f36a988d,2be42bf9,d39a2b40,c2447f81,6dc2a91d,20edb89e,c8b00c97,c972d837,56ccee9d,619f4b0d,2fc0ec9,ed60ef01,1f10b55,2569dcf4,dd922917,d8912764),
+S(7a9b644c,a0b45902,39849b1c,b03687be,75be77e9,b50685b6,1c9d7052,5933ab2e,ac13dd6f,d4f8cfc5,27990d16,cdc88720,4a5a14a7,f15287e2,7b5b4c9b,3ecca461),
+S(e9de9ec1,40076c59,afa8264c,e4ee7209,5b88b08e,dcfc120c,9a3e9003,72542abc,284d6201,15f1f94e,54bf097f,b9407695,c62e76f0,f2138bdf,932da8cb,86a13865),
+S(aa9ac192,d202973a,2074a2f3,7414ec0b,6ebecbcd,f201a6fc,e43d74e7,8544bac6,95fb5730,f524225e,a7af1ec,8e34a6b,b7300dc3,7df97888,fd0bdfd7,4986e2e5),
+S(31b66efb,b2da072b,16d9b35d,5175dd6e,96b8c227,abc0f2a5,94e02f9,e693a20c,e3c18398,aaf7bc6,776f306e,23b1f001,17fdf03a,72474f2f,ed3b0d6b,70cb5baf),
+S(7eda3d4e,2257ae72,abe80be1,8edf5496,3a8bea8a,a2be745e,8402734e,97d19d4,ce5e61af,de4301bd,974ea8ed,8239a368,bb8f0b57,1a6bd9fa,c3327594,c4abfad2),
+S(297bab00,4b5e8c60,b27fc169,257f1217,48af6f99,65caf54f,67ce172a,e69e2b4f,eee4fd66,57a4aa8e,5eafb1a,e95e466e,976cedfa,b32f8f4d,31a820e0,cc470eef),
+S(389f8ab1,2be46a3f,e5d2fd38,9598890d,cbb8d1bf,fd36dc10,8cdf8532,91e477a6,530394ba,2647c712,aecbe545,dec368b,21eaed67,a9d694e2,abfe1e83,1a2ee1ae),
+S(36122688,726cf2a1,b2ac26a9,375608c7,2024a751,6543ce67,2393159a,98fdccaf,661b4134,4ed2bc7,c3596a83,b812fdbc,ca95cb74,f7b322a6,ca1b8167,aaf34666),
+S(ef5f9544,a9c4148f,6a637ff4,39bff5d0,9bba2824,1d115c37,a5918070,d02f9a8,2111a85b,369cfc85,6db8941d,8af8a357,869712d3,76ac94db,55f3e0e3,e5e8770b),
+S(d2c7599,c6bd388d,def00aed,b0cf74b2,b41646ff,5bb690ee,2f72ef10,1f55212b,ad863280,67ab378,1fe9c59a,bc54b06c,9420059c,6fcea9f5,f0bf563d,2f87dc8f),
+S(67a35c0b,fb6a1655,23740a0f,23b6a8a6,854c22a4,113a665d,1c35a2ea,c83b72bd,dd5b811b,e4454aa,c7c9adea,b7368235,f3dc2bad,a6b7a2dc,99e86f97,f9d7409b),
+S(6b667d3f,158c02f7,32ebedd6,552ef5d1,443df008,2e1b724c,dbaaf43b,efbd2480,c920f76c,c082ad16,d7564ff,9952fca8,3fd4e059,5e11a711,2337cadf,f5f51cb4),
+S(c8cd3584,214589f5,62690e9f,71a63e17,64b0e3c8,33f26cda,8388be55,6e336296,c5d0bcd1,7b737bd1,66a2421f,8e1dfa80,64b3ede2,5ddb4ceb,cc8f9335,6ec468cc),
+S(8b2f358e,b781cdb7,b8db96ec,7d42b75d,56c494ce,7561daf,b3d0ba8,360c281f,aac9391b,cbce3257,1d01e5c0,82eaf632,65628c28,77e72671,161fc2d7,21425e61),
+S(55b0917d,f039f139,bda403ad,7fe1ebd8,912c0434,379ff3a0,da5996b8,bf2b2f7,f592415b,3ec3a143,c9b681b9,cf8c8139,2ed67439,ca67a162,e083cd76,27da169e),
+S(c0eeaa0,81a38627,16dc09fb,f8e154bd,6e70e14f,a92168eb,93673780,a8fa76e9,9824a6b1,fd3df6fd,94ef8e7b,b1d9351e,cd3ee62a,e70a1eb9,91b56527,7c695e23),
+S(fe75017c,665e766a,13b2b632,cc29e61d,9bd5755d,b9c4f065,e764d658,7204997f,157a23bf,72c25ace,ebee10d5,aca71726,6d6c4cfd,983530b0,3d47e6b4,9027d0fd),
+S(bf4458c3,ba27b2c0,cde6911b,6cb61a6f,53642c6e,367f83d8,e294e3c5,2b18e13b,8d34a93e,e7f7ff98,3196cd08,c8344cd9,eaa83481,3f606e8d,9b2f6ef8,bf91ee64),
+S(7254ec2a,c6ad1be8,2fd75bca,ebdce771,f4ebca92,eadc0bbf,3c5146db,a8d3760d,6302fe68,4243ed5a,887eb664,46f709c8,e60a6db9,ed062c33,1fc556e6,6f87cd0c),
+S(4eae1e2e,b75b8cc5,73688f02,bfd5af22,ca928244,6dc8af5b,9dcf1118,f37ea23a,2a98f93a,613b9b1f,b3725d62,60510ce0,e718d07c,f913fda5,3b4f8b28,ddca064f),
+S(b929111b,4b6b6caf,184238e0,82fd9a3e,8b9893c6,ff80a091,8b8e2b22,da6e0d2a,5a207daa,f75abd10,142948a2,cd2e806b,23322e1b,1f52b739,a9c7ab26,2f44e91),
+S(6c57b3ba,18fabea3,25dd2711,52e5d857,a2853fdd,5f73db49,cc2e1c25,c98caa91,5a3fed55,397696c2,a0e98573,a30375a3,1b59b343,35c77918,3908ba58,4bb96a76),
+S(607ff89f,3c3e3635,a6b83591,546594c2,a20de4b2,e59a01f2,696a9d25,caa0b1ab,47f4a3bc,ec375b6f,2510df4,7ca3d932,524e7c9b,656beb5c,65603c9b,1dbc8a3c),
+S(a5f8ae36,a163ee23,d9c2744f,1f32de1,25744a64,f0e21009,445f08a3,9dd8aabf,274fc698,60f62f3,cadab3cd,23086876,31dcc845,43c98f65,b826ba0c,5b27352),
+S(bdfc9b7b,ea97cfa7,4e97a822,fb6d8dd9,cdd2784,186f01b2,40db0851,95e1a07f,b02f7e83,56b72dda,81e38cf3,d5cf071b,e3c4c595,118c1cf4,61f01b1d,fb678090),
+S(386bc7b,42591be5,41547b61,f0c96e13,6b168ef1,338f0f3c,ca2e59bf,e4f902c8,aaaccc7c,37655f05,1e0bb44e,396b2512,68bb806b,1e1ae4ee,598ab2c0,7b920f17),
+S(14b9ba9a,c5eed3ee,9f4365dd,56e703a,2bc35d0d,af288bd8,1b9ceb03,82444a69,53d17e83,d76141e5,81c03eb,367076fe,a831a4c3,3a756cba,e564c851,e71c9a84),
+S(e8b86b8e,f0424769,d0a6abd6,f0090030,7e851f7b,11a31012,b404e4e4,c062b1ee,f829b4e,bd2a0a55,253c7fce,73b27cce,9e31acd,fd8345f0,b973143c,25ef7900),
+S(ed4cf2fa,b4108d10,c07630e8,333fdeec,af062396,eee23aee,e06365dd,ae880631,8eff37c6,5480bc59,6271ef5b,41743d9f,89a4685d,d497bdc0,8f6a11a3,56d07535),
+S(6ccfba61,23d3296e,acc2f6ac,ed746ea3,6c7ce287,6e758fe9,b38603f2,3a1ed8fd,86ad0ff9,ee5d758a,2c2736ce,af4b2d50,a23c60d7,d952409a,9bb0c836,34dcf7c3),
+S(4f3dad6f,4f718586,f2ce5239,b7ff5f05,ca384f7,a3171edc,6b11103,55a015b2,20858d8d,ef722f1,3a6e11d0,7d0a1db6,257496c5,e1f64d4,182592e5,f57334db),
+S(ebe62fea,9af5d236,30dccf98,cb1eb472,38dc964e,5a145831,fd7b65d7,6b55833a,f828d7a,d18cab39,1af532ed,33cb2ae4,3b677836,b95bc3a5,2807d5a7,7df2eb86),
+S(f4608ee8,a9ff5e52,15fd6257,43e58f5,af5ee536,9bf8e5fe,9bb8d371,e40e86bc,44dbb6aa,c7bb3a3b,fdea778a,7a6ce04c,dfe22a5a,c054951,2a52ac0a,499a5962),
+S(63be7855,faa99716,cd77c389,5b2eb8d6,ae5d29eb,f64916cc,f7eaec1b,6f81ae30,b1463e0a,44d15252,21670fd8,4a1ed48,24b6effe,f6820787,ebc76cac,68db082d),
+S(17306e73,c5487073,30f41a4e,e94370ef,36c07686,c55ce03d,ab6cb6fa,ef1ae2b5,b3f971de,6e09f1a8,7b083dd6,44c5edd2,a67449a4,520dfd5a,6742630a,8fb258f4),
+S(81dc632,ba371e74,18cb0986,8a3e11fb,738f7857,9210bc06,cd0f9e73,4c91a064,cac8a551,b5ce80dc,2e5b400a,f10e209d,9b1864a8,ebf554ec,f36056e9,3b99b69f),
+S(6ec14358,b2734ab7,3059643b,c60dab0e,d8d46c41,5ca1815b,cc215408,19b71e71,3f6c7c4b,24cd34d0,aa9cec16,cc17e321,76e2c0b3,24bef53e,9b6f3dc6,a4f4d617),
+S(dc7cb981,dd03dcbf,66e63e85,158aabeb,db7e2aa2,c4a04db8,e88e8628,28000afc,d187b91b,be3dc2bc,44f29d22,e2a5611,6c9ddd2e,6a946077,deff44df,6109bc4f),
+S(8a49a003,8dd13eaf,7223a2d5,50503fb0,ce0f5c2f,a7a03d5d,5ce03517,803899c4,47e6b637,1876be40,dc5b64d4,4bc5fb89,966c49c6,2d4f85b7,c7867ff3,1819f8de),
+S(b252b5d3,a75c18d3,79ea1959,67559d02,8b8ab87f,c4c5bcd,842e5de,8e2c406c,eec6b95,c2d5af38,84ca69d4,2134d318,646774cc,4d05f78c,7978e8f0,80072b54),
+S(6c30393f,d1f285d0,37f412af,38411133,c1bd1db0,6bef205f,12fa94a,4eb35412,b8c88541,acc9c862,c0186985,cf58419d,1c24905b,1d1abbf9,2b59a381,829fced3),
+S(aa8b25e6,583d6898,6ff108a9,a4be30d,5a5149c4,45387abd,e9c1cd74,f3246ccd,1c51efb9,e6225d4f,b7b67bf,1b12de21,718fc945,d18a1679,f5ff6ff9,94d158d4),
+S(28b46490,768800c0,4c94fd8d,8ef8c29d,fd66fe24,f379cfeb,a0a9b9e1,53acb33c,7e348f08,308e1ddc,6ffc48f,8e8a137e,785a0aff,fff18285,bc5b7bf3,54ca8253),
+S(54b0ae43,66382f3e,83a01082,7e08e596,de37fa5,8c012e90,20a24347,ca1eb5dc,facb37df,f0bc59ba,72260606,d8e94f7e,3f71f600,78f6854f,2fdafffb,cac30332),
+S(f8f03b0e,b981e371,a0994d64,6ed73e5e,a36d74e,7a349861,20e25d71,7f43c6b,642c63b8,96d9e995,32dd3403,40f91e0b,35f5d990,f6cbb768,253251e0,d7965737),
+S(9c1be533,26c1a43c,f0fc5e13,83627414,89b4df8f,71224d24,6bc07c1b,f22c89d7,4d420abd,af53f191,f1e6622e,bd51e638,9e2cb2b6,a7c51885,f21937e7,3de7e73a),
+S(c9b65328,864d0371,86b146d8,fc208126,dac6bea8,31778af6,e944f338,3c72553a,db91182a,b8a8ca07,3e2fae97,41cd81d8,d17c8776,9f2c0492,2b76ee93,c42af5a0),
+S(7d945104,a4ebd202,dbd4be75,1cd14d8a,e07700ab,804de7f5,1cf6d254,bbb9489c,77231839,b8d9e627,ef6ed20c,e88146ad,7addbc91,f1522399,da31b84e,7b21a033),
+S(2b307a7b,99ad1892,cda61d2a,10c1d972,b5855905,a64309d0,6397732b,c98ab549,8c38783d,51162a87,8e84554f,9b6d106e,e3064b89,3d368341,f96faefe,9a0ceafa),
+S(2e7c5d29,c0393ab9,7b93a628,8d6b1da1,d212687,5d45c961,317665f9,9db55ed0,58b9c7f5,19ba5e3b,5d988b51,d50545a8,9a74bf20,1cbf0cb3,64936a06,7c8110e1),
+S(accc9c09,4ddabe8f,81433d11,852f2583,85dc0463,9618ea1c,b06fe50,68358940,80ce4a4e,9ae09021,b8945aa9,1e4401f6,aadbdcce,421f6f32,ce7f1317,508cb799),
+S(a67ecfd4,3735a152,4908375d,d21bdbf4,824be481,a8ff6201,8145c624,c5cf74db,e993c3f8,5aed69a0,f9b44ffb,80b5156c,33f809c5,e9efef1c,fbeb7b25,c6152911),
+S(42f5d252,3d508a01,e7177947,29eee1a,fb7be04c,90539d9e,afe32638,b252e158,7194bfeb,f9ec8e1f,5039d582,ed7d28c1,99d5b07f,bde10b1e,e3b4bb64,148b5119),
+S(15bc89ec,5d3b2889,d26e77c1,33eb832f,bded1d29,ce975905,d9355b2f,d99ea1ce,4e0d28ca,7aa69933,6f41e3bc,57a9639,81e2b92d,7b80794d,4787251b,f7fdb0d6),
+S(7d68bf90,45c79869,5a8ef33e,f7fc4386,5ac90c37,8d3beebf,6ba3973f,e9d8e507,d14998be,f5bab5fe,fb94ebf6,9c0bf133,a6606b43,f621c861,ca1cbbb3,ae3fccaf),
+S(82541ac5,9196f73c,99f9ee01,ef266c5e,908e91b8,b341e052,ae2576eb,17b90025,29eb3c8b,8ef826a5,6565c9ef,c2b2e47b,94e12736,131d1e0d,5b235d0c,169c2934),
+S(242399a8,9c5a056e,8073a5ee,45475787,b31ff7e5,3d451f2a,d0437580,a479239a,19d5ce74,8c9a4a09,606e7c0b,6b486098,b743d018,c45e5e5d,8f39a966,fece6ae8),
+S(cae84567,8cb2b2a8,de8040d4,3b32e0c6,d42dc902,3db4aa,273d24d7,17a85e7b,edca07ac,15d81467,81185e1c,4829951c,2569fa15,3b7e7ddd,22b58ad6,3b736094),
+S(5c3711c7,e676ef0c,f889ce6f,57d9f92c,1cd91023,2b6fa410,75fe70a7,ce4b3db3,9b5e75c4,eef0358e,6732b7ad,56797ce7,82a21fb,d13aede0,d563638e,eaf62eab),
+S(bade63a7,a4a443d,26d58900,bec36c28,940f4b32,fce20afc,2adf307c,3ef9d71,3c801bee,78daef8b,5cdcd5c6,bd0e63cd,712c2dc2,8e34cfc9,e01beec,b198d687),
+S(cff82bbf,2e6412f8,18af5ae6,f9947aef,5d89eb32,cd8e9961,848f75f9,f9e4aaee,c0624130,346ae6ac,e5e76b6a,a2d836f,bb2f07e3,1467b8b1,76af0345,d8f5a137),
+S(b3e4bcf9,f9e80edc,c4249cd4,58794fd3,921ac31f,a5f72c7b,e6f7dbfa,29f5c7d8,c045724b,8630771e,2772cdc2,53b2842e,1ec994eb,52296f3,6e2061b8,b32b9d3a),
+S(24c22e2e,55f24320,65e91ef3,503bc571,c5290bab,ff95329e,17644e6b,8ef22386,2f91c5f5,6184c519,6f945739,4f101034,fb5fb146,ea61e009,39641a9e,d8178890),
+S(29de67d7,edfddf52,6346fbdb,62e87e58,a0ffe4f4,7ca14a47,426238a5,3a3e2188,69dda846,e0620850,ae6d3fb7,1e6b9f00,814a0a59,ec7e94e5,e412a57d,ea4b02b0),
+S(c8377575,d34b474c,de02b73e,5cce9eb0,c80c26c1,a925f090,d6b6804e,accfb653,306f4844,da7b237,38adcfc0,3ae9ac48,206cdc73,7c97eb11,c48c7951,52a9cfc4),
+S(bc1c0c6b,b6a169c4,10ad87f4,d1f6b25,3313637,8d766bae,ee9401fd,b6895515,7d794eb0,81d9476d,c4d3cf0b,21b99537,9446a6ad,788f0f94,8acbba71,b20df5b0),
+S(8b49586f,e4b4f33a,82ddfa9e,e83b7f94,177c1f39,30707f20,95a3d841,bebe44b1,42fe0fa6,14cc26a0,d2608c6a,31fdb1dd,993aa33f,6d32bdaa,1f9715a7,3e11340a),
+S(fc52e593,28af4bb2,ae6abd18,8ce99b49,d8cb823b,7c6418fd,8a5f9757,44ebac16,f130072,79a1eeef,5483bb81,2ceb9090,35fd5df1,b757fbe2,679e2d1d,16d5a5c6),
+S(43fcee45,79e58f65,d25edfd,f429d89a,f8e7364e,c0f2358b,83772ac4,27ccf626,907821bb,e43827ab,c210b2f8,c984d6c5,def4ee2,5761a9f7,90049477,874ef309),
+S(2634e802,fe58e3a,62b9105e,5e37d8a6,f530831d,d4bba691,a6753df2,1482fba4,5d9b9de8,ab3f68ba,1e681048,c67274d,d1fe0cd,4e639454,a2fac6f9,5cdedca8),
+S(56f19f08,a31f7d57,2bd94314,4a22245d,9ce74a11,30920573,9ca68569,76b35dd9,b453c349,678dc948,bdf804a8,4f54373f,c4891fd5,7058f1b,43296f59,b89d1fd2),
+S(6f7c37a7,b3b96ea9,daae285,31763ca5,d481c1cf,42237ee7,a1ed6554,68de3aff,eafacefc,292a5d0f,b50cc875,ff7c8ff3,aa1923db,68461f1c,de04bb6f,729715a2),
+S(59b44c32,ca7c1a74,ca69dbe0,c47f6199,79b997a0,df691d3a,4c7f3a76,9a543723,3ae06964,698b97de,fc3af051,9f13559e,813e7839,c893a0a9,bad75ea2,bc35e302),
+S(e7acd0f0,d0560ce7,2d6cd805,d197fe6d,4948721e,b5e4c40c,c2014e78,9bb5c8cd,c95b5d74,5bb6058d,80ec04da,5135d92d,a447ea0e,9154b1d,93a5a014,ae2faaa8),
+S(7ffef78a,e04da609,6754fec1,11fbe130,5fdc80d0,3e7b801c,28e23be0,40cb4e97,579c1fe7,54812978,46f2bf3a,57e1f850,ff4fdee8,8d3949d9,68e81d2b,792b39da),
+S(5d068102,af4129c4,49c1e749,91ac0c15,dd2a7e29,fdca33f0,84f228bf,f19f5ec4,75f0179e,d77c3cdd,3cd1ec37,3e2d6d60,5425c215,ff009f26,66b8f7ba,77dc07ba),
+S(cb90c398,7f6e05ef,ebee67e4,d9725200,eabd14a7,67c10cca,6fc546c6,ca67996d,c6a9a0cf,d18bdee9,8e054e4d,9df247dc,55ed473d,ed372138,cb21ebce,809d3a96),
+S(5faaa0f9,63293ddd,83c2a841,6363cfe9,e102c0df,f4af7e81,c046540b,2fa3d653,66548b52,dd344ca0,2e0352d3,f14578a4,cdfd3a32,b410abee,683d316,61205e51),
+S(35fc3454,7f04856f,3fd3ea4c,63c07a0d,bc0e6e2e,37216712,5da6347b,3c53b8ca,a4e3cb12,bc29dca7,800893c2,cddd4482,f3334d53,e215fd91,a01c0f4d,45162cb8),
+S(ae1fbe74,e44c15b,263565ff,9f578ed2,39741d8,960e82bf,d8788a95,f744bfdd,d711400b,3b458a9a,75e416fd,c4d0efe4,5ba5666b,9280fb38,3d2bfdd5,83a89a15),
+S(76f8768a,5ecf11e6,15671063,999ce164,73286582,c4238ac4,f8ef7e20,d1358f67,da94a126,d55ecf1f,8c899678,cbd7e53d,1171d7f0,6d72ffd3,e166374c,58b4f4d5),
+S(f454c1f2,b7b447ab,dd2b0308,472a1e19,c1844e63,40225166,e5ddf571,e8f93d52,5ac5010a,1b03dfd5,baf4bb7a,943f0e16,4aa1df65,5166d021,c9db0ee6,abc3f425),
+S(3366b897,99dc33d,a1f900ee,57c2c316,d6c2fc16,f71355ea,219731cc,280c0c7e,dd29b0db,9449e2c,7f80888a,783ef223,bc8cf8ed,be82f1ec,c45bbfa4,b054a77a),
+S(2a73966c,9b1aa2ac,7b5b310a,bac40490,253f6cbe,29c5250a,dc57d979,f660741d,77359574,39ae6d7f,157723bd,ab2e1181,209f0f6c,fe5f4d0a,a9b0ebc5,cbed1294),
+S(3885f7c6,d80f0060,1d60a213,923e2591,f055ff3c,39425d32,43302b6e,82a0cf2f,d024dd79,fb17c9f1,7db519d8,2dd4012f,f353fe5e,c81025cd,deebcb39,65ed069a),
+S(ef33a6e0,f5da4ca,904aad24,5f2ada01,a77a93a9,11935aaa,68bd32b2,a6bf81a1,2ba2099c,3af09778,aeda97b,be4c4311,cd3e1636,f2244580,1a9c8ced,5ac81a52),
+S(c8b25a4c,bfefb603,34300d02,585c729d,fccf541f,4942b040,c7b0c442,3f8603a3,480ac47a,674e42b3,a884dc55,be736c23,ca69e81,1af56106,efa66122,78214cf7),
+S(6e0f7e4e,e4eacada,cf3862a9,8af74f97,99060f9d,73a9eab3,f3db3a77,20a945c7,4bf3222f,eccfffa5,5afee33e,9d39602e,e0ef3c67,870817a3,a9bb5b31,78469272),
+S(32a987ef,6cd9c989,aa1d1fcd,5997169,2db6ba4,f4c8ca08,4b1607f1,697b202c,5c4eb708,50a58a74,5b91143d,ea849068,ab8b1b77,6fd2ec80,eef53d60,2cab45fb),
+S(1299c334,60ee62bb,68847930,82ce6c49,bff80a9f,4fe33196,7b09a05,b22aa04,50ec11da,9d7a89c2,68bf0314,7b67803b,824b59c,9d496a5b,8c0d9955,31c8626e),
+S(ce9f9a2,55aa6b62,a3184c2,8ea5d204,581fdb7b,1945d9db,2c245e6b,4d0b0d6c,c694fe1f,f93ae622,e5816c37,cf581f3a,4832442,d171b413,f86d4c25,ccbf0cf),
+S(ad42db1,1ebf460e,f7954df5,3d7cd6e3,a7eea34,6ea8ca1,2ed4d5ce,83badabd,7c0538e8,a29f66e9,d2b3a235,9b00bc42,6809ceb5,11d476b2,38719673,a70e7b09),
+S(fadae65c,500d39f0,377ced91,b0a9c469,3db78832,b31b14bd,78996dde,4b764bfd,a4b8e5b4,e398a8b9,90ddaae4,7247a975,2f2267f0,41a867e,e3b0774e,1a692ca3),
+S(14e71e8b,76377b2,52b60ee3,f089d612,402ddf9d,92f2046a,cc7474db,1cf56f69,7121d880,5bea69c8,233dd120,f86b914e,cd080537,649b6cdf,74830f87,73aefc55),
+S(b15e94d5,5edb91a1,9883f6c7,5bacc56f,2dd2c1e4,950e267f,c4415968,a75d7730,dbff7f2a,57d7072a,4a076dc8,a2d26233,1eff662a,ce10d24d,e3c8ab57,8251765d),
+S(e343c0bd,240de1fa,f1ef780b,4922ddc5,453649c5,7a08e9cf,99f162c0,ffc12e7d,b9b65d5,3861e229,777bbb4e,85ea417f,32354b9b,8796bb47,2f6eb67a,2e3d22b6),
+S(c3ce72df,4730b13b,95398abd,fa02c834,c5d20e37,9ebce9bc,b77a777c,f9fc3299,ec87a4e7,71c04584,f6dbacd,10fec1f2,c8bbbf25,9954d596,2309f0de,48ed9573),
+S(fb70a931,895d44c0,e31a9dd6,bc2a1cb5,250212e0,5ed1f55f,5c668e3a,8390677,d86125a8,cbc9437c,561ec1cd,95b5190,328588be,6bf7a25a,94271547,1fee6a69),
+S(b150b153,be5afb36,f6bf7b27,ec687612,265e3177,2534bc4e,8ac92607,9a3ef16d,571ee1f1,7c499be9,89b86781,229abfbb,db83272b,c7496f17,52719c2d,b0812c40),
+S(2e71970b,913e3006,84eccff9,aa4c914a,22c6cff7,3bdeddd5,781f68f6,177adc4d,829fcbf6,1ff72af4,6bfe69ea,d928283d,45db7cae,b1b59252,7dc6496e,22a6ffd0),
+S(d361c4dc,3df5e874,cb459096,d319957,398e2a5f,337208b8,6053315b,263ed230,5225f55d,49f2d8b,ffdc241a,b54b5a43,b3856b7a,60cde97c,5e860561,f2da2861),
+S(3f30591c,d464af5e,ca79c060,7e6a8ca9,c6a2c2f2,86177290,fda65a82,522566ba,fc41d72b,f20b86e4,6be3c20b,890fe8a3,ceba4805,bfc61c7c,66532693,7de90e22),
+S(2f6a706d,f5efe7b2,bf409606,5da98b97,86ceef57,36677935,c08e0b8c,b125db55,99bf95d1,b348b522,a1cbfc73,f2a4e692,1836256a,97bcee77,51ff5091,6fcaf620),
+S(c8c72176,255d0e32,ce4d7caf,aa9b7467,ff49ac94,34beb017,9883b22a,4254620d,580ea490,a94a8310,cca59b41,43fd4740,40ed92bf,7eb25bef,a87cf930,a974c943),
+S(a5d65fc4,9bf06fa8,6018067b,7ade5ee1,a541bc2c,bee0edc5,6a144f0,6be32808,ed70ce9e,16053764,35c0875,5cbfa6b0,d1fe923a,fc9035c2,1d26fda9,58c36ccd),
+S(4a6c4b07,7c6c9dec,d7d6f98d,59eface4,ba2fc654,df7d14a6,57f108e5,d3f91d29,2d2a4b3f,1a9aa787,cb747f7d,961c4cc3,cbd62de2,ceada2e1,a71648ae,feadcea6),
+S(97d610e2,8b3771a3,204235eb,faccbe5,29d1a6fd,5003d6d5,4b37cfc2,80550354,a441235b,593f0649,ba50d405,fa597b25,60c2be24,2ff43ff8,3b635327,94e67c51),
+S(b9f1688f,4161e507,d8f540f9,4294a967,739231bc,a89c7d8a,c54ee365,1ab65111,363ad626,e5ff0d,7f43aadf,5228fbe9,b60efd2a,336518ae,53a0e36c,206d5d0a),
+S(1b748bf2,690e8cd8,e06c5200,5a654bd6,38bc62d6,63ce1194,c4bea3e2,82f2c351,db0ce849,96bdfcea,497bc8ef,dcbd6e89,d0305b1c,4b6dac31,4e480b45,a5a9cbeb),
+S(ec9d3d1b,3ac0e4e8,c01c8cbc,5d498201,1f52cb5f,dc7dd0a2,6f447457,aa9da7ab,2934e845,ee13267,b3dfbd3e,5d77cc77,214779ba,51bf7f67,ac3cb131,1000369c),
+S(1b28bc0b,ac8ce96a,a3d49611,1f66c77e,b030a49b,e9ee788,d8e395ed,495c037a,ad5e12d2,bdba39cf,5efafe12,f7588e5d,c5f2bc82,c7a0ea88,217307a5,c996378f),
+S(6e2929b8,1060c4ce,c6b3f071,40c8b23c,48a87efb,9765f292,13993cb2,9c046638,d68c4ec8,ffac30e0,f2642595,aee701a6,5c254247,a1397726,b0c40a77,1060a8fb),
+S(122307d9,313a11c0,e411e78c,d66bd2c4,5aecfad2,3221b558,d124674d,1c66489b,f5713161,cb284025,efa004e3,a70f1374,b1ec2450,78f2252d,6c7da11a,ddb5ae11),
+S(81df90ca,92efd148,9383a7d7,c69d4c4b,bcf5b781,e59834df,9ca30da7,cbfa1ed,fbe1932e,421a7a67,30e4a7c9,371ee8cc,a985fd2b,dc1cd465,769ef494,b0c8d6ad),
+S(fda38e5b,f685c939,6a2a71da,b66d02b1,a1da8953,c659c880,bd201879,d275a01f,2c729bbe,39467247,601c9b48,80dc7ba6,193f8270,a742ec1,5076da82,65db9bb),
+S(45aab7c3,69af7188,9986b609,e16493a7,38a255a5,d4c27a3d,96888275,54bfdce0,4a512b2f,77c0aa0,e5aa021e,2bb63904,aa7c74aa,daf424d5,da8676c,e043fcf0),
+S(14b463dd,57d236da,fa835f57,6c4cf514,73180d39,efec4d18,9a9cd1e5,91df4f57,ac3bee1e,d77fb0c4,3cc852e0,90fdebb3,1bd87006,7129210c,9334beeb,896e66b5),
+S(5a8fd8db,833621c,e8e21f81,e2f30db8,2a98e6e0,8eddb80d,6a2e63a3,fd7da2bb,6f6c8e76,d846f5bc,b53a88b1,349b95ed,34239991,1e552740,1e58cbb3,bf42c8e9),
+S(62b727f8,6bf49290,2600e83b,5a24974e,c35444d9,92c2f083,7bc4dc53,d3ed119,d7daa7a7,b8a0d462,598be5b1,6d36aad0,c07aafe5,600e3955,81c352aa,d6135b21),
+S(1cfc0220,cb0f64b7,51fc05a7,897b3840,fb2a1c33,777fedf4,7ebb4c9b,e6059ee,d3a90002,d2f8c20d,1174fcf7,8591ce07,5e2b34f8,83d634f4,7b27d5c4,3680bbfe),
+S(89efac24,9b798548,2c3ada7e,c7792632,fe872f4a,b6001e7d,48605b12,cf8cecd,a5d062a0,1e40b4eb,de2e10e6,684d9b6d,2b860f65,9cb6c51,676ee74b,40e5f612),
+S(cbddc8ab,e37d0494,cecb4878,cb0bad9d,da00c1e9,c0876437,3405ec56,2318afdf,53ec167f,d0f1123c,3ebb9cac,476c86d5,94762b5c,7a365153,776695a7,169f06a3),
+S(d020dfcb,c5e78a1a,36e1f8e6,3530d03a,5b53e1d5,41d05a46,d4e24318,706515d,cc811700,740dfdab,752f818a,cee554e4,d7e142bc,eb5f6e77,9399e160,c7646048),
+S(2430846e,6e768e57,d4776cda,448ab651,c876cb6c,aa8fce63,34cfa4b0,826a0e25,9bfdb42c,e711af1f,a0cfeaf5,8264cb52,4d4d9eb7,a9fc1328,4351e209,8818c559),
+S(7d3eeede,5d8e3320,80d0dcf6,3a8c6929,4951e765,d881e0af,febaef73,bd9548af,a4b9e695,85b2921f,fd651eee,e320eeff,52df838a,17efeb60,16d5cee6,d4475ca9),
+S(4bdedbab,af06488c,28fa5a7d,ebe15b63,759986bc,535b4ccf,66f28e8a,1126803a,e4ad8238,94741e42,c28b330d,16b16d40,d538d081,41f0a5c,92890934,e3c09dc2),
+S(65569131,959b4da6,d2b52217,9569e44e,cd7e7ca5,515ffd71,fb4b3444,246f925a,87049181,3adc7c36,9bcb7696,f90485f3,66beaf52,9cd09e04,36d51cb1,6e84514c),
+S(7df015c0,7404bd5,518ef8c0,1aa4c5e6,8773800f,fad367c5,5b10254,45e720b,6e936006,2fad0fcd,a52ae9f2,bb7e3f5,ad0ed702,50e474f8,c4e6b62b,93885bf8),
+S(90eda060,55bec90f,ae0545c2,30fe67de,99da2fec,f158aff2,ff4c8a1d,419eef9a,c5a0e7fb,f8f5f20d,25f09076,6a8741e0,5e7c49c9,c6408dc1,fc02e84d,79ee165c),
+S(b36d9a3c,1a6c46e2,fef6dea2,26b1bc6f,e957849d,d11170d6,25746bed,bd3d2846,3ad18694,f8c0e199,77d0a56c,161a71f2,72d9090d,96a376d4,7d6ee99b,5f3ae29f),
+S(7fa2d360,27f7a698,e5e4dece,16f7f78,5878ccbc,dec5f03a,8041805a,609f01ba,2bc2c266,d8d013cc,c215e3cb,8afc5b8f,254b0656,98281044,8f946d65,8870703a),
+S(fd314b51,71ddfb60,16f3dc94,859aff4,5b01e7a5,5ebb3c0c,a2ef8262,4c41fd08,28539bd3,657ce721,4f6d88b8,f8f85565,996ec40f,fdce88a6,5820a8f8,4e6271f1),
+S(6e37f52b,ab64fbc4,a22cc014,b81151c2,623069a6,6c617fec,f8d32d25,38e23f9b,fe6910bb,2e2e366f,28ef13db,183bfea,924603f9,58847477,ebf816e4,33cbdd34),
+S(31ee76c4,de143395,a1d99eb,98e8a579,d88b3450,69ff0b82,8335ad2d,72dda523,155d6f31,9548c9bd,62cc219b,db6f95cd,23295ab0,253e42b2,cbc34fd1,775dc0dd),
+S(947c2b1d,604787c3,e30cf04,31fa2b4a,7d823c84,584feb3,5f68545b,639df62d,bc50bcbc,dc6e530c,45892e31,d71f719a,1d515060,ecb123d2,a37eb89d,45fa682a),
+S(8a8349c8,46a41e93,fa097893,c4fcbd1c,7c25e3a0,afb17929,72a7a872,570e5abb,fdbfe661,fc2940e4,b8c0fee5,7245915c,7f8c9ba2,1f548bf7,d5c654c,785b94a3),
+S(7733640a,13671b1e,eccf3527,3cb9ee8f,d79cd08,ea57eacc,97b39bcd,6ad669b1,7ce5c5d5,abb13079,486bc91a,ececa9d8,d0d1f84f,a5d74e57,e4727db8,833f8c05),
+S(a9ec8a22,7c262bfd,f5b00b9f,1acc80fd,4f5d46f3,d24d59d6,7c2cd83,3be94a38,f0d9bb94,ff97aaf8,54b3640e,7926a99,8a731a5f,4800c573,d1279d14,5e4d422c),
+S(9837810c,86ca85a5,ffcebe9b,714d4b1e,f5c0ab5b,2650e163,d62fc668,204aa566,bc477f5e,ff56a588,bc68f7dc,42644fea,532d7a25,3f84d17a,9ef7a91d,5f3113bd),
+S(9020fe03,9de18af6,61b70206,5b615ee3,de3ea6eb,a8c30d9e,24d4bf13,56db96dd,3a0ac3b5,d1832113,8421bc8a,f978771c,53b98110,6c49afe5,711b4b54,f9fb8567),
+S(d769695f,f6f22d11,99224b69,f66aacef,8c6cc911,e43fddf9,481b46d9,97a2ecf1,e8f2a6b5,f05be025,a84fe0a7,23ec54dd,b21c32b4,b4d5cc89,5bdd8e66,d8ecf934),
+S(a7668280,48ab1e2b,e843b0db,7a9462ee,3ff0a5d6,f7c12ce9,496b302d,99a23042,42a1296,92217f3f,d7de8cb6,df48b8af,11d8d089,5c93703d,a242c7be,d8033dc3),
+S(ba26a7ef,1e0b979e,3541227f,2dec3d6a,7ea6f8b,9e9b46f9,93c02b3e,fe1d9611,b0d283fb,1adccd83,be7122b8,b59e6d4b,589204b3,e96adb4c,a6e19ec0,ef1c142),
+S(175ba624,70d63d4f,6a3a030d,a1515677,8e589e8d,80ba62d2,1719a906,68293971,211232fe,97508523,4d0dae11,14831009,229fb25e,51f97182,476558b8,adc218dd),
+S(1fdb147b,860c3254,b4ae5513,14839573,da2d0272,be69628f,1b395a03,bc8afca1,b42d0b99,325acf05,a3564d77,55cf9c9b,3208e5ec,24e5ef12,b6180fab,8b3f4a4a),
+S(986d3acf,c5cc74db,c844c28e,d91276ee,729a5588,e1f504f,1e6f96e4,a7a21607,7229d56,4a9dd4b4,79f8d8e,17951887,870a4303,53707369,aa8e8d6,deeefce7),
+S(39ad0832,b18dbfe,1fde87e7,c5d3b948,75fd76,9941c2bc,d605f3d1,beb94e29,f85bea41,f0c36603,8ea8038f,874d612c,43b928b6,4116550,8878515d,fd74b6c3),
+S(3a318109,745a25bb,c6e45068,ed37553f,b2591404,3a7dbfc3,9e67d1e0,24bb2f12,2cd3e0db,d2545332,e4bb3e99,8c338c8b,66fc5061,81c6595c,37804541,8c507a16),
+S(617d3fd8,87b99438,6eec49af,4358e73a,bdf52dce,f26ac8a1,52be64f7,e0e8b2ae,a45b906a,45c2207,e4db008,e4fa961e,6c483c24,3c0d7fd6,b11af11,e5f8b444),
+S(d1171cb7,e5a3daf4,7b7818a3,2fceb153,58c87d4b,84488cc8,1e930bc8,adc467ea,bc725547,a2d40dd,8d8ed471,1869d711,38118b5f,bd00f0e8,3e1967b4,880da3c),
+S(61f610ef,de8aedf,f012a109,5e5ad596,9d06ed54,214e6f33,c69643ac,50df0ca3,405ed3cc,5ae1b566,fcd069f2,e8b67520,74700b94,689eaa7a,3fdacdf6,a798e091),
+S(8caab88e,e5fa3cf3,59a8ead3,2d80a4b7,b57453fb,e90a75b5,ea9e4f0e,5ffcb7ca,8b7608f2,c7480114,d8b04bc3,7f089f8f,2075fd9b,5b4a49eb,bd0ab1c1,8ce31a9b),
+S(b73ee255,bef7518c,12be7d6d,36314c8,3fcf3c7c,5b0bf2f5,3a1add92,82bf729a,716c6c00,5a82e1f8,1f493753,f4e2527b,99bfd9b9,988b5e94,f7652ffc,6c32b7f9),
+S(ca72f63b,ff6ed94e,c1fc4f3,427e90bf,a16ee627,b9112358,1620c156,6f95c1,a554deaf,c8bb3a56,d809c044,49efd477,7d083da5,690ba56d,2a4e2679,71d6b0e3),
+S(f861644d,d5693cb4,b4a8256,8a5297a5,595a64b9,5f9744aa,683dd91d,8d58b301,66223ae0,99284fc6,ff5bcbdf,cb0bae0e,cd954610,d4c152b8,b979b08a,c4d4adb4),
+S(ffca4bc9,b9a2e17d,250d4357,14c882bb,7e837054,4bee35f8,818e696b,7a7c2c17,4c57c13a,e3d97da4,8644c47e,2cdc4d15,5f6add44,5544a853,f8e46bef,271399de),
+S(c36a0163,5935ea3b,f590d4b4,656cbe2c,2e62d8db,ddec2eb9,ab867de,8d9dba5d,d9ed3116,dfe337c1,44025ab8,e607256b,f870c4bf,a885bbc7,3ece4b29,ea6122ac),
+S(bfa4fbd2,c9fe8b16,9520ffec,277fdc19,cd53dced,1866d5a9,404cf89f,6141e4da,f76e0423,4fae8abd,892368eb,e48945aa,a3684136,aa5b7a0a,d85d0d07,79af3ce7),
+S(fa7be3d7,db544548,45d4bd1d,43c7960,89aa1eb2,4c0f81c0,16645d77,83ed508f,b82cdfcc,4df4b465,4c95530f,d621435e,8679aee0,9918a06,131775be,8cf4e324),
+S(818a90d7,5939e32a,af92c601,af9eb717,88443e57,b7759bd,9e7e2be6,238a699a,c951ef89,8127b426,1c7d6224,377fe63a,2706636c,525ee10e,30e11a85,c160b50a),
+S(ede3411,d3acaa0b,650aee14,29f910d3,5ffd5684,eaba0280,8971f2f2,330e2880,8a2d5c96,ae4ce2e9,739ff957,c595591a,63a58132,10b86a62,bc4cd164,54b8bc7a)},
+{S(dd7503a2,a3e15e7,39eb9b1f,856d6e33,be4890b2,f40cfea8,1bdf516c,b942731,ca9cd04e,c3789ab4,5088b819,953e08a0,b8adb8b,b2b6f7c8,661a2d3b,83a54c77),
+S(b0aafd22,9e0fb326,b5ce8cef,578803c1,da2be933,1f47b343,370c2e22,18bde7d6,570b1e28,a519d9a0,2f9d06b0,6637bd8b,6c7f7e51,5a7c541f,7263e05a,87270081),
+S(6d5417c3,2d66d6e6,a2d2c599,366ab000,99cad0b7,55f8f3e5,15afc018,98b9efff,786eee97,bf1a1c9,a57de5f4,94be0a29,663b08ef,5162e971,50dc240e,59d9d489),
+S(9c64eb60,9a9469ad,fec8d298,50a08f7d,d4e99710,37c9e7c3,7eab2eab,cbce5b4,60569102,1deb5b10,705231c3,e29dd6e3,b613e6c8,eb313cc,68fd581c,eab98ac3),
+S(d219f302,cc6de5c9,8360c088,881465e,22fc572b,8217734c,742231b4,ee487bee,89710994,239f6120,df848623,489173e6,f337c99a,71fbc319,75e768ac,43cdf91d),
+S(792810f6,6b9cf54c,ebd8ff1d,159f966a,7da61fb0,34651402,e878e5aa,2b044259,9d2d44c4,b52b24b0,7c3dd127,43fb81f1,e96991f4,53c06839,cd86a2c8,faadfc68),
+S(c9913dd5,bef25d08,327d7441,b0793f4e,e3e89b5f,15cdfb3,483f8663,3644d75,e6f5b61c,6beb820c,64beb375,4d80f3f2,6e7aeba1,f4a490d2,e6dda2c,b3131e24),
+S(a836402d,582230fc,bc8c944f,18d5391c,3c934e1e,ae1a5f6,2cd6ce3f,b454e6d4,dd8417ac,a9ea2e51,13043d8d,10c8be13,e48a17da,e1d78f84,da4ca58f,d07221c7),
+S(46b82270,4a808581,f9dd6d4a,ac7cf765,90dc3308,dd54a6f6,3d4c49d7,f5652310,1e8ffdc8,a786fb63,4a56eecb,ed370af5,9d6300b2,cd05c1b,5bf28d4d,69e64c9f),
+S(eb25a657,ff10f29d,4a0b336d,feb63364,774f28ff,8c6eea04,25df2e41,1cc8c49b,6547a11c,9cceffee,5d43a330,69034c93,94777b74,63c1f774,167423c3,2b53bba9),
+S(d1548f7d,b928ce6,86e8e71,c0080731,3a1cea63,838c013d,5d52fda0,17af443,b15384ba,3d62a403,920b6936,54c30a87,7cd359a8,2b63f037,64ac24d7,2a8fa367),
+S(ddb36d9f,c6c6c026,6c79f2c1,50eebf46,36737eca,d0091321,c1b293b,52837cd7,8e0cf327,fb2f9548,4905200d,1111da22,aec01189,c8db56b4,6680c03f,4d938f29),
+S(46737d55,d4b1c924,c58e100c,161206f5,84e01948,22853e82,e641825f,4eb1023f,4374a770,809a9424,12e75c89,75b98345,48e6579c,8b4b1314,29cec398,6b2eb00b),
+S(35772697,7312b547,60f2db9f,443d8165,1cb1fc26,dd977dae,3c659685,7330d3f6,813075b9,d73fd95b,78a9e1d8,a9f24595,98b127cb,90c942a0,8b451e71,e40ba38a),
+S(17bca82e,46ab960c,193dab14,7eacf706,4326205e,7fe4dd6d,464d359f,6a0f4229,b882798a,dc357f06,4a98dc47,2eb3708e,26cf45ef,48f28c9d,11456658,1e49c7fd),
+S(e22d5891,b992aba4,ef31503d,bb64d447,1cbb4013,86f69d10,37770b8,7c04f855,af5fc7cc,3e92b04b,3b61297e,d7c66dd4,47b81728,1f455c43,bbfb69dc,91396744),
+S(3960875a,16521b2c,89c87efa,c0ef7a5c,7a1332b5,a84c34f4,4496c57c,d5c9af0f,859ec9e1,f08de5c6,2fad60b7,18533a9,d18cdc9d,91174ef2,c3eb0653,f6c3e5b6),
+S(96e92234,e193254f,5629fd37,aef039e1,1457988,7b18ca19,a578bbe,3a23826f,afc02da1,3693bd69,738f991d,9d2e9b96,afb01e67,b05857d2,3054a7a8,85d55f44),
+S(f032903e,40e7c8fe,fbf79c7e,a4eec837,6193c3eb,cc919ef4,ec867909,42c8188c,1406b7a3,f9a284aa,c0d48b95,47d0f934,2b6d3c43,4c6b78f5,4b1d9bf2,ff7a14a1),
+S(59f8f5e7,1bbd9631,ec5e86ee,e78dc60e,71c74037,db8e32f,4932ea11,9a153973,7b72a4ae,87d78ccd,3758f961,12cd4287,d18e4cee,7abe996,d51f3276,aa28a3c0),
+S(8f4c4baf,36df38ed,da5cab7a,90b5d3cd,fb7a6b85,bb000440,35d88928,27b811f4,fab6a3ae,f7d0d7e8,a45367d0,b1c9c4bc,9b6ecd7a,f6739401,8659560c,8d1e6d8f),
+S(f19b8fe6,a84b2993,a1af87e4,313208e0,ba301270,3aec1a52,8ea60bb9,eb97333f,d8610a62,ee6014e8,b0eec123,c6b68ae4,62b0be9f,c79788ff,631f7a38,f134a74d),
+S(a382dad7,66c4cbe3,336f2a2b,a11044c,31f5de9,6a1fa90d,479baed9,8ea9eac2,9f7b4cb8,c17383dc,ae9e8e71,81cc9f77,6823626a,f8da9b87,e5773edc,9fbb8a67),
+S(337af005,48b956ee,58867d93,d230b0f7,313229de,4adcab17,55a24f02,c3c86210,41b3267a,48e288f6,42ed4fa,357a9d84,f77b1e5c,67a6b20,8e8596aa,40ff3cc6),
+S(48e35721,f03fcee6,e50f875c,57fda488,75c6b2e,1e0f71b7,da97866a,de121d49,65070589,1a1e0a5e,d2df20c1,bcaf00f3,11b08c8c,a161e1c,7db290f0,a24c1a3b),
+S(2db6b295,1a20b609,819d9e52,7d7bbfa8,d47a11a1,33a54de1,49e2994a,ed25d800,d16c6aa7,313723b8,e9c49f8d,66b0e9b2,6ce3ae04,5f1da4f1,355c02c2,4c1685fc),
+S(2024d4ea,eb5c75a5,d26263e7,7803fcc,77fbe3bf,ab6106d6,ba134f6a,18e2794d,57bd2c8a,5c3b8289,d4d39930,cf2092a3,2e9b87b8,f8155eeb,65ae9b88,60b92159),
+S(3a7aba1b,95085b3,89b07280,219011db,10fad2eb,c003f17f,2576f166,4c0f733f,2263ef94,65065e4b,36ecd1d6,e77fc8ee,2054103a,28434207,e02669eb,df00e444),
+S(d476e308,a3456bfb,3ea08fdc,357addb0,3b5f3102,248e63aa,20b8af78,e5e27566,827fb49f,ac326d69,364a3ed5,f87e3e22,297d752a,8c77d399,7c6300d4,3358c19f),
+S(b98a3bcb,5ef6e7d9,c7bb8fac,6d5de4d8,c9770950,994dddfd,c0e5567c,bcbfc6aa,c2e6c22e,ec6e855b,890bfd97,b916ae1b,d7f38a9d,51f1ddd7,fb11c44a,5ec058ce),
+S(95af1e4d,e478a281,46edbe66,972c1672,815a12f4,eb975fe0,ecf7f988,d03bdf8a,9b5a9c50,c9616d82,98f43a56,62ed85ac,bae447fe,60985627,b6df1ba3,7600fbdb),
+S(eaa4b025,2304fdde,1708446,df75b2b3,2ba9754b,ad68af41,515f5228,91a2ca3e,7d04324f,2a522df4,c8686ccf,52086869,8e892ec6,aec91b83,b6e460d3,b0e39d23),
+S(113a2818,f9099722,36d3eaaa,14d52f54,27592ab,b924dc45,d6ccf5b4,a02094ef,8fe91af0,62011fa8,cd0f6ede,c5467c8f,d8bc8043,f9760d9d,14c31fe1,1fea3f1),
+S(bf5b27b,81d5bc7,ec597a53,accae88b,bed993a9,fcb78a96,d0fdb750,66f90baa,7d7f5fc8,7c6766d9,78a359cc,5a486844,e62003fc,7756ad34,3b5966ae,cd9d7bde),
+S(42d53197,4663cd32,c80d71d8,15d3655f,f4e8911e,971a53f,9ba1758e,79fcae1d,87daf2ec,3cbccd53,84bcc89b,9668954,a73283fb,5d5608a8,5746ff2,de26a528),
+S(946a933,98ac78bd,a3f92424,f6bb6383,ef7ce19b,2912457d,b26e7654,f25012ff,ca7d7457,b0a52c33,4656671e,c6e68e70,b283df8f,7a033a21,7f013cb8,8259df8c),
+S(1c53769,28cabbe6,3b6e52e9,a7577c54,53cf4071,e1050257,6e7f4609,763d1285,95340099,49a53bd6,44045cfe,6c17053b,7cef08e2,6cbc1975,c2fb203f,7810a4b0),
+S(c31bab3a,c9cddb5e,91a69aa6,95545d25,5550a6cb,ed8d55d8,faf94523,4edfc242,2786d686,771c3e6f,a04ecb04,cab881fb,bebe70af,1c83f7fa,1fa2922b,2dc62e0),
+S(81df0d06,1f3519d3,3e8f7743,8b917498,6ddcb6d8,cdeb5bca,2ba03fc,6d1b2bf5,183ade12,f68baa5a,c702b5d,2ada2794,bd038524,63796f7e,c885b5fa,96dd92b),
+S(3825dea5,f42fc36e,37367606,1d8c4589,48aa11a5,12449590,22cf258,acc068d8,b6286350,2fa61c64,9ed1f3f,d64cdf9c,bb882d2e,82723e11,73628333,4c2354e9),
+S(9aed85ef,5bd25a21,46007433,b1131528,6510ab0d,7918224a,dcb81585,ebece06,73e1712f,d6b3d56c,53bda6fd,acdee776,aa87f994,71c8cf28,17c05fc6,e5512bf5),
+S(3b4c21f6,c0a815f5,80a75488,5b02087c,eee77de2,704b1661,d2c42329,169ae892,997bc30b,1e5ec3eb,df3076bd,d7ff8906,322c229f,fff17b5f,51316dd0,4778f062),
+S(bbebedba,d7fe330c,1e50de77,62dafe8b,70cc8cf5,11c44dcb,1cdd55ba,82ed870e,27f2dd33,573ea340,355f9a9c,6cffe63e,44108290,f27fde3e,7c934d52,febe1af0),
+S(babf0cd8,58f49844,5902a704,da20c759,881df7a7,27842f98,f3ace994,1937a7e,8b05b19a,62a9b997,4b0a9668,d598c929,c4ec6493,6015fdde,c134720e,fcb32081),
+S(a420c65b,33426f3,674a5859,cc16d583,96b3c325,22fd2dbd,3ac9e179,1e5bc48d,695d3557,787ffb5d,8e69293a,afa250f4,6a0bbdbf,7fae0540,94f43885,d92d2544),
+S(a31dd94f,9fd72006,abb783f4,c9c8801e,400c4d3c,f4f81906,d853fccf,e3c1cf77,8b49b9b2,8c513ddc,6f31577f,5a576ca9,bcfad648,fe0556fb,30aa3dc8,cf4c9ee4),
+S(d4ea9865,929456a9,20c3a461,c3931efc,e73479f2,e63ae5ea,6e1fc227,1bbe518,f214c3f3,844daf1e,8aafcab0,89e1ddaf,6621ab0,975346a1,b04642b0,9a5be061),
+S(995c4191,bb5b5831,e32ff6e,6be060d1,339bc41,50af35f8,e69b03c1,3ff55505,a4c0262b,d585aa19,26009953,34f83f21,951dc3c1,a5b9cc12,c7250fd0,c8619259),
+S(77ea55e7,8d08e3b2,233db269,37d1259c,ce4acae,5989d056,d4bb4bbf,a7ea1cfa,637a160b,ce9307b5,a21985f6,6bd9c4c1,8f0a0679,3dc6c5d6,d491a2d,ea034f50),
+S(f42d8da4,9862d140,30c9e4a0,5349a650,166d7904,97ff4a6e,403908b9,d95293ef,c1df830a,2e091a6c,e65f4443,f7c5d51,86838e07,dd90b0ee,f90b0134,b181b30e),
+S(10e6c84a,53be364e,92542b00,2e5303ab,d93507e0,5e3699bf,aa865838,8df504f5,4f191ec3,974d9a23,28443d0b,a6ad8ad3,4a04e06c,608d15cf,d3b50d54,70d2fdb9),
+S(2f27eea3,7a95ed63,f1a1c228,4ce37d72,a8e116cd,b5555f10,52307156,818b7162,ffdbcfd6,4b71c526,5c19b6dd,4fe9f0fa,e993bd10,a727384a,84807308,7588fd8a),
+S(4ca6d0ee,294e7961,b9716d8,3d9065fd,a362dd0b,1ee95784,3e33c27b,464cbef9,6e37c568,801d5be3,7bc240f5,908229ba,bf7f44d3,26591bdf,58ddb69b,742b417f),
+S(17e3a714,cdfa9919,b3a2ab6b,faca1a98,819258de,53877067,84bcbaf0,8e38e807,4422fc06,1df9484,7163efe9,f6a75626,f1cb4db1,dc563dc6,6250850,99a2d1cf),
+S(86db66f7,2e0897f7,5a78295,45ed56f7,f94dabd6,c3ca13fd,4b715e78,24778889,116731bf,d85bc78b,277b09f0,5e341374,7ebf0977,587ea430,7e4fb0e4,b3c1d864),
+S(5a67a2dd,e738eade,230815c1,cc2e259d,9c0e750b,1d42ee3,c4636368,d2add861,9c5b305c,d9dc561a,ef396711,faa7b196,b149f7fd,48c7f608,13d96ab6,1c23813),
+S(bc5e682a,cb10eafc,319401a1,deaa5a8f,97d8b1d0,d65b847f,fa396df6,5f2d3cd9,bff7f649,3404076b,1c978bc,22b56cf,de56a233,414bf112,39ef0c2b,ba8c1c4f),
+S(55e25010,b08cc417,3062a4a8,20b00001,fe53546d,bbcd0c86,ca21c3cb,22291201,6ba72697,9becfa8d,53fcb128,f3193f8f,74a99a7d,82aab685,cfa1fbac,8f1d71cd),
+S(4b53215d,7c5d43f2,ce8e109d,c98d2f5d,af1ba4f2,7a713d04,22253cbf,c9dd1f4,2e96d,bc79001b,64a12093,67c36c77,dc8cc188,b9f632d1,56bd53a0,462bba31),
+S(8d71406c,8eba2f08,efe9a88b,72faee9a,e149c857,d625b710,c443219f,c2e24997,68aad2e1,dad539d9,dcfd641f,be7c1ea9,d4239e2,e881e6af,57260011,bcd0d61d),
+S(443ff7d1,5f92816a,7e64e005,f0fed100,efad65eb,cfdd7e81,a6d4df72,a2a91932,3be7e0e8,bfbeeea0,e15f1a4d,cd9b1f7d,85d519a8,1215c2e5,319db187,5d3c5c31),
+S(a3081493,6d7359a0,bd8b0adb,78b79ec8,388f783a,f02b2759,318b0178,870ef633,5d89f521,e1029655,432a688,aceb1beb,ba824618,f9eae95e,ee0f56da,21364207),
+S(33eb575a,aa3d6ecf,eba5869d,b7eb1340,bde18656,3ff4c32e,bc32793b,4bf50129,296dc28b,b33aa01,684894d4,d2766575,d420b02d,6cb23152,79b370bb,8836181f),
+S(4c09fb9d,a61435e7,9e2f9faa,37cad82e,ca906e27,f5d17d,da991e54,e7650e12,1c3e8af,ff50589e,ee448778,8157fa7b,570a9063,d76e6eee,df6b8d98,140c3322),
+S(8c0f258c,9162cdcf,9d60168f,bd98b995,8fe2c59b,fe334b76,2b05d397,8ca4cb29,8f04e391,d6abd5b3,1c3de519,2266acfc,c3010617,24a204f3,f209aa49,96ecfc54),
+S(e7e0ec2c,d18151bb,7d46c17d,b34b36d9,c38c0e78,4d6c4a53,5661ff13,7de3ea5e,b569bbb6,35f01a5e,c7e3011a,95fcd613,357328b0,f589c77c,a49550cd,63ed698a),
+S(33466e36,f172c0c9,41af8635,80f7393a,21111ca9,9962be43,c96aa29c,6418d949,e434328b,8b94157d,72f0329e,7d8497c2,a189a23b,8b663e5c,c6a6431,3d9cb1d2),
+S(74546f84,2d5f2f0d,56c6de7c,e25dad70,47664eff,8b53139c,2101b450,ffb7e83e,72ade537,f344465b,349412b8,c5a52396,b811b3c8,64b693c6,995b168a,3d52a146),
+S(2a057c20,49eb78fd,6b1e101f,f1ad93ec,237c31d3,b9eb5a61,cfb9707c,10aa3fdf,12f3ed71,9ef62004,29e31f76,50d42a26,3ffec21f,18618ab7,a1978341,34e628f2),
+S(6ef7e589,77b46681,18725285,d6a80278,af326e69,37a1a2ea,c38db58,5dfdf391,7b7f2f2a,61a36fa9,92c25c9,de3c375f,1e653426,21657b1a,46e73afe,185293c6),
+S(bb07cd89,749683c3,d0d1822f,b2044a0d,89295a1c,489a083a,d4e0d686,5fdda7e2,93217977,cd636dd2,5dc61a32,278701db,488d4b0b,bca43fda,5f616ed1,bc853e67),
+S(86a512e6,6aeb62b4,a3f0e3ff,b3ab705d,55da48e8,5c83fcca,8bae1ed2,c7c310,69efee26,59130cad,c307d137,348dc40,5e797bc3,c0e08888,19381382,7c9b70a8),
+S(2e98a430,bcbc702e,d038c769,2d0a18a2,9e68ce5a,33297dc4,d0c6b344,55141fc0,ea01fe68,7ef121ec,d612d3c7,95bc2b4e,aa8a79de,a7a6421d,6d0ca841,4364a8c6),
+S(1e94d53d,8f2efb80,fd5f36d6,48517bf,a81f5eea,6e6cc95b,125c0f4b,7f6b544a,4c6da236,bdf33222,7cabe303,ebb08be,5d72cc94,ffe09f83,7f89050c,250055cf),
+S(8436f6c,1c597134,be20a252,3808f764,a77cc015,92e2c0fd,d99af978,2ef98f0c,5d088601,2a449b15,e7ca98cc,b12c14d5,e56dcc11,21eab5ce,8fd64442,735202a8),
+S(dd438a23,a4ba1fa5,8691429d,7a20119f,26b998ad,bb041770,4fbb7603,7fc939e5,c371b95e,1d2db347,89ae43cb,ad439c87,c75d9cad,370dab9e,771ddb8f,f50fee46),
+S(a50a202d,dcf0fa6f,270ed4b4,47ee2d09,55aa5ff3,50bde518,b5365807,5e921a1a,13357652,4cc6d018,e3cbae93,d87adf36,15a518ca,9421d847,92b9b6a8,fa45b5e3),
+S(7dda8de4,b278bfd5,3b7d4573,1c3df0d3,a32c8459,37dbfd55,6176c034,359b6054,249585e6,a11e174,ba72b6ea,cf02bc58,f53ad9ea,131f22b3,f273a38b,2ea12e71),
+S(8c34d5b1,77080808,84081f8c,f36340a6,2526ad47,8402301f,248cab43,c59b510,d3370606,3ac61796,a8b55004,64e458c6,36c6fae0,ac4fc255,b99e03a7,fd39679b),
+S(f2af02db,a23f80fb,26dae144,8c01030b,7dd11c7e,e670731b,5a3c8d43,cf70b3eb,3b91daa6,e360244c,ecd16f73,ea6b2ec0,e2bf1af1,1fee0530,7d031861,6df7cd6a),
+S(f52e29a5,fc161198,8ab924dd,300a2063,eef50892,c8aab719,989a7c57,c61b5472,c8d317a1,e4bd73e,1520b519,bf5e99b9,537d4014,11554768,ce1c8d59,dfb6485d),
+S(ec3bfc26,168616da,7521601b,8213cac6,ff0525f0,bf1e9480,bf74ca36,5043aa50,b85fb266,cdc767a9,9256a2f8,fe3d5f67,13c46dcf,db0e5668,c51e57d9,e40c68c1),
+S(2606e785,bb3bb8e0,e9509d6d,d3f13edf,cb945c27,4b170b8e,f0a1049e,c6324d,1eec7f74,981f1afe,b519e261,a9459140,fac8c0f6,798c4bb0,7402b03f,a9f9c4d7),
+S(643cc5fe,b10472c1,b7767be3,3d089e97,6e1dae65,766f64b2,13ca7308,fb1a859,4001bf5f,5b1f1152,41c0a5d7,7c402f58,81466079,7217151d,ca52167b,98cfbc6),
+S(7af91d3e,31685c25,e4665b8c,60857fb1,a9eebfbc,b119995,bb30886d,49fec506,ef793e78,d32b7dca,50fd2281,76e9deda,fba1ae5c,51012a9a,5e0f11f9,efa36d02),
+S(f92595bb,ebf4e875,5a4c090f,cc7479ec,e36df57e,54d02703,77492a59,695dff86,3d693004,acd31ed3,edc6b849,f0276908,3b62f97b,ffe2ce1c,f030bab7,8edf42c),
+S(56d8be78,ba1b90f2,f1e2bdc6,98676605,84ef5cf2,42061f99,a372b8af,3bb81492,37346441,7138d5fc,827ed55f,7342e423,b3413d18,a9450670,bd9f7639,e3f7d1cf),
+S(5e72a946,f62a82d7,e1a6bdce,d4563e4d,d11ade3,630c48e,e7dde8f,4431cef9,f963609b,37e6e3a7,647bf3bf,370016d8,e6db7c3,18194eac,b8abb926,1f4a6483),
+S(915889dd,b578d98d,b96c9d55,e6d10bd2,85448210,19ad5652,5ac888a6,11ebd12c,fc5c61d2,2b2a6235,51af62ea,56e53daa,a4ba1d57,e1124834,e0c3e547,da8a00fb),
+S(eb8dbbb4,b11a53ca,4b00a8f0,6bc5d957,9659ed80,df9556e2,99d77d80,1372996c,3f7d9ccf,b1229e71,fd5d3193,4af913d5,e645050a,91095df7,e9703fc7,5552129),
+S(11d9d597,213183c3,cb33f43a,36289f32,94fab62,eb073b5d,9ad2b71e,a1a4475f,80f85384,db3424f3,707412a3,6bdf4e67,4adcfc0,4b2e3957,f9ea2e46,416d85c9),
+S(4bb5ac37,b29cde8c,a1c39e5d,b3d75401,26617089,c82b5aff,c61f8122,1e5fa6b9,6345048b,ffa2f89a,4e008daf,91784b02,5bddf7ba,3fbd5357,ec1f8c04,f8f9ae5),
+S(542f585d,616db634,689e86e0,bfb7b3f6,58fbd6fb,83d0070c,bb13e85e,17e1f793,8858748d,b65083e,9946ba84,3c842492,475e508d,4bf5bb08,6259e5cf,b47757fb),
+S(518c6d50,6d72aaa0,ada7bceb,11e1bda,bc0cff3b,2008651,fc50eb54,cf4207fe,c0415146,d6bc2c5f,9f5bc476,a372c8cc,60778f04,b02d580e,64d37a9f,5380d3ab),
+S(92931216,496359a8,4a9f2efe,f2032335,1588c283,3f9055d2,d107b81a,7a689f61,3070db07,ccce7e90,a9f20897,fa4c7e27,fb86bb5b,2b0a8a2b,a63e555f,1fade8b5),
+S(e9ee9698,eb0f0b82,763be736,798cc34a,4d290a96,db7cf297,7d067d0a,3989d715,ae81b62a,52d7ef27,29fd82d0,1c0ad810,bdfdd46d,d8052126,52b76eea,ac196035),
+S(8c8d5876,6f4419ad,5015839a,4c7fb487,dae2c7ae,990a889a,af2d6e88,81a3808a,e5c71696,20452ab,8e38e8ad,8bd8d5a7,e3d1107b,df7d8756,12bddf2b,7f83f05),
+S(98f6e4b8,211c9a68,f912dd9b,784ede0a,314a9721,92dd0ea4,540a9e35,ee10b93d,14e8736,c7ea071,8d864e7b,1ba92a0a,101b333f,b33c0978,59151f8e,f39b4341),
+S(f76805a3,925534d4,2188dc28,e47ebbf,18a783d1,71dd3b0a,88115ba3,3bde61c9,7a35dab,99b9991e,73e17ebb,47a231e1,66f8363,e27911ea,aa1968b1,c9babb58),
+S(302be8a1,aaddbb7,8417d663,ade6d83,160b7107,87193f1e,46d1def6,b6e5a279,cc2a879b,6235c998,a97d50f9,c495dce2,d99448c9,6dc6075,d20746a9,d73943d6),
+S(f53ed104,dc5d432e,61057264,4fdad4ee,57b0997,419c4df7,20206a2a,9e14f479,f05e2aaa,14bf3414,ccf324c3,1d8a91ec,eb3296e3,8e2efb1b,8d18ba9e,cee03ad1),
+S(bef68e21,4972047,4ada606a,5b8615bb,812bacb3,f2214104,1ed69ab7,4ffc6389,5ddec4ee,3257d388,c1a3f5eb,39440748,480117e4,9787eadf,6d3daad5,7a30c95),
+S(4ebeaac2,693c7ba8,bf0f03ba,1455dc46,bcc77b6b,d0a49e24,4a691880,ac38cb4c,f327fd30,55273e42,35f77b8,d081451c,60206100,15da9086,88e9cc82,6e547fa1),
+S(51848db0,9cc33ab3,767adac0,11c1b94c,832b85ee,632d6f41,d65d098a,becbc89f,673a636,c3990364,af443053,77a5e59f,fb39049,e4ab37ae,53a1007f,8c064153),
+S(bfd27c68,24c034c5,c153628b,ffdbc62f,afe32fc2,caa5d474,fd1a5b9c,d1cf8d5c,30928327,debc1be6,eb58b381,2132154d,5a7faaea,b3a5a522,8d1496f5,fbc4ccd0),
+S(deed81fd,719445b7,37fd23b1,f2f98f8c,690ad80f,1c50c719,79d41526,34bd1af8,14ca4015,7c9371e5,8039b307,6ce0142e,79ae3ef9,5686882d,318a61e5,8afacc8c),
+S(83e853f6,d88bbb57,f2e29871,7e3d3e0b,bc23f16b,d2ec5488,4cbcd3ed,de170518,14829326,aeca293f,10f54ac4,5110bd37,d6adc578,a8e6b22b,13698e55,70210479),
+S(c2a957b3,3c8b0ef7,15b8ac0e,f8781632,63e90354,86e96e7,a398f59b,91e4292c,5cfba0bb,f943c955,54d31994,630f3ee3,599b7192,d869bcf,24c9839f,806c0bab),
+S(2cb61575,18b65cec,dc17545,e8dacdb,28f81985,85fae30d,857d37cb,ab0c23a5,9bbc8c4a,5dae47e0,6ae03f04,bcee9600,2c17f719,fed38740,64734ce,3470a600),
+S(7b1c1fd6,f4af2484,25cea23e,840ac8a2,ad8839ff,5c8c34af,9d1d72fd,30f80b23,6c51b243,7e523306,abd95216,70d6ced,235e0bfd,3b9e46e,b4e582cb,d1f1b76b),
+S(f78fc2b1,6d61cbd3,4687e1a3,ce9e97f1,dae8a483,75b338c7,d595fd05,db40a4ef,dea54b8f,c9b55943,b2931963,a895bbc4,4453cb1c,d1530d41,19e506ee,b0702071),
+S(1918eacc,3658dffc,ef195768,c1819559,8c550cc0,33333796,714c7eed,1ce780a2,c0a289a,22ae8b28,87658b8,41a98c47,71f317e8,cc972ad1,155fedb,da9f9fa9),
+S(12905e26,7d6a0007,df0d059a,f285061e,d14f756a,27943f28,1cfbf93c,b343e7b,433b1923,cd4367,4b6b9495,42dd097e,7a025026,7dc060c3,ed3a1778,1441ac62),
+S(969a637c,eb80c1af,b8cffe95,c6b6fab8,6329ba73,dc7e996d,a0617f90,48a39d37,6e751f3,b60c1ba7,57519dbf,fa7ac98e,6ed094bb,3bd9cb44,f65650fe,6e8b31d7),
+S(5933a9a2,b818cf0f,d39633e1,9641697,410bef1f,127bc9be,cd183d1a,f85f44ab,b42ac6b,c2de2526,5e3c1584,31e92065,a97d6e5f,3602185b,1fbc1589,757c86e5),
+S(54b58e7d,a63c1993,2a4c092b,c93e4d24,c8abac,76488fd1,9f56dae8,b943017a,ac117398,ad4ef6ce,d0166c50,69804db3,78bc9b84,a9f5f718,b0311beb,f08986fb),
+S(77004384,69bbc239,8a70863c,1d7e31e3,b2f1dcff,64beb2a7,c0a083ae,8f4240f5,8a8649e3,7f3ad219,bb164490,529153a2,aab7185d,639040c7,1b5ad628,d3ee107a),
+S(768e2c77,32678997,42c6badb,4d87ec8e,34af657a,4f1d6376,d01b456,7f0f9828,56078dbf,1128686a,1a1435a6,3dfb39c8,91c270a,2b230754,4409e9b2,1f2c7a03),
+S(b66b24b8,5248a97,a913e1da,6d0d1454,53e0fc61,66ecc62e,2bd39ba0,c3639f27,3037bbb8,e205213a,4bb524dd,49c667f0,408b69f5,428e4caf,1ec811e3,cf5c68b6),
+S(1ffc3c5a,d8e38090,ac36e8a7,c44c6ca4,c0a227cd,1192bbac,2804d033,c50534e,f2d8a481,63ab76fc,391ed0ea,de7b02e8,1580058c,8b84886f,f6d7032d,b95b503c),
+S(94b3d61,4d0a5e2,9e7e9ee7,1e2ee7ec,87b14085,cf6f9fea,2ed31d31,517511c5,33c88c8b,8204f465,93acdf8b,a837d4d,5a388670,fb24a861,dd4f35b6,b674ed4c),
+S(3a94b6b9,b1b8a82a,267f7ac5,9b52bb7c,52b790fd,ee341265,ee1b6e34,e3e7387d,4db0480d,d2b8f2c7,2c60c55c,5e050e2d,f86bbe1c,98b74bc7,f1d3a44c,3b1df370),
+S(2b53bbf,2bb1cdf8,44b25bf3,d1931ede,9e5e1450,78dbaf68,7f4e7852,6a6716f7,70be0ac3,170f7490,cabea8a,63a6fd66,3f1ce8fa,efc5343,566f4b1e,2ca08e6),
+S(e5183136,cfc8b732,3f926cd7,95dd8766,25a8c155,d5c8c457,53777c9,beb13494,93c62979,e67f9f86,cc0ec570,273f2c7a,876fcb5b,f88022bc,a8666e1,814207ad),
+S(c4c07268,a805e384,db81b877,9d1dde0b,9af6e197,b6bf254,db6aec02,94dc5bc7,2127f162,e2cee5dd,96055ff4,a7bcdb57,19a00742,f295007a,b839eb54,eb317566),
+S(2a89c94a,8dee1950,3bc5e772,b2ff9608,a57c4ff0,dc6f7c0b,c1d2b76c,26c9610f,10da34f9,eb14e294,8f2a06cd,dc211eed,93c670ea,47592135,dc33faac,bbf8a170),
+S(35b035e9,8cc6f96e,d7dc957e,e07c7afb,fc936653,72561568,25e44f5d,fe4ea0e6,4818477d,aeed402c,870fc50,6197a0f1,5c72a378,e42785e6,be38bb21,6d4ce91),
+S(f0a3e92d,647c07e5,5a435907,34c0ee65,758e09aa,bc2a81c9,f6d6926,c03a9cd3,18e7a09d,720e65f0,b1b8fdad,66d4322b,99733bfd,f8c5fba5,afa930dd,f441f095),
+S(4db3c367,f3ba6727,fa274289,675d2fbd,1ec7ca8a,94d97bd0,46815f04,368407fb,d5e0dc2d,80f3893e,f1871740,dfff1589,ff75940,e163f8eb,115e4b17,dc1cf693),
+S(9a0fa624,b0eb8dd2,f50ab259,cdd9b17f,7a6f318,93786640,56a49867,89a5d27,68e82527,18684672,ed4df389,98b830ea,1547ff45,f48cff63,5d291bcb,e80f3cd5),
+S(19f72db8,e604db7c,ef2e8478,c04540cd,c3806c1e,eb9e8071,38f0a272,275d451f,3cc5df1b,dd845f6d,a4747261,f8e1f821,c7e6f2d9,d9cf9a90,d3c7edcd,b6fb940d),
+S(306fc07b,7e543dac,ac240f8e,7ac82cb3,df70a2ac,1bdebc61,adc65fb3,e696743,f27b90e5,a2a5abf8,19c90983,51521f03,26532b1d,37875466,f87289f7,244a3919),
+S(c46e7e67,a036ae7c,b30ae479,d0f87d7e,6cc8297a,3bd4c1ed,c2436e6,b52f532b,723dc476,426eea8d,2179eb11,35599275,2cc391fd,4c25ffb9,a3942356,a56899a8),
+S(a950852b,587a01aa,7a1d4688,8ded73c9,cbadc922,e44fce64,61a5aa5e,dde2366e,79a12ef4,18763f51,62ccc65d,86c94012,363cc21a,61d12982,ebcf2ac2,c6337791),
+S(8cad422a,4ea9d987,48703d5e,eb95d48f,1f73d893,91c7c239,f96a7155,98bfd153,111116da,fcc7a212,a1e6e0ee,4e824611,a3896543,aee02f46,61bd5ace,2a67c652),
+S(3b922988,8c2bd057,785b4013,fd14446b,7261928b,a8907ff0,da433d2e,61302362,4eb99bb4,d152e218,8cf3464a,68fa266,500dec96,5842c2e3,a3dc16d,e6edd74a),
+S(36129c09,42906435,56970a6f,ccab5f71,113b82b5,819ed4f8,451ff01d,209a9cc0,b30ebe06,b9b4a4cf,8451d8bd,7d9534de,375a396e,b2d7bc21,67a56f42,6426d3f5),
+S(8a0a960a,e3bf57b2,ae76893a,b665856c,e09a6f0e,2748c703,2d951cbb,6ba038ad,e29f3916,4928405d,84dee9fe,973f613a,3c5e1c97,c6e5e814,a927a6ce,60efc2bb),
+S(641f4fe,dc351cb1,93a088c6,b6ad8867,442cb913,7f0ded13,4ef0f2c8,d721b887,600a51b0,f80a351b,ce7965e1,eec4c8ea,9feee470,80b920f5,67e4c979,84b48dcc),
+S(cca5d72b,8d78990b,267cf3eb,246545e4,d416eac1,600078,2861bf05,c0132b3d,7ea6d271,f01c4250,d07e782c,32f0d6e7,177d7714,e2277282,4968092c,e0444f42),
+S(c6ca654b,fe45c9b9,1f3869de,2f96f27e,351a7f1b,4839f7a0,9db2966c,f81f052c,894661b7,2d156df4,2b307506,d990ec47,935b0605,9aa97bd4,26b0df6a,9e3d2183),
+S(2a959d49,c5161f7,6ce10ee9,cee3047a,be9c620,569a702a,9827dc66,84f6f35e,918b7a8e,e283539f,cb52fe91,1f5039c2,321a6e8,be0c4449,66bcd7f4,594d1e8b),
+S(bfa77e7e,3dd28fd8,a04842e6,6f01a9ad,476ff448,18e4a3ed,ab2a8b6,9ba42ad8,d85cdccd,2f5bbba4,1718b70b,c10cfab7,272377e2,5a578ee9,be991b4d,583cd62d),
+S(6cb9b861,de296ad6,363da904,46618eae,fa852ee5,ec1df0a,d0a6955f,7b9c6d97,978d0afc,29cb0cdf,f2ac432d,cde6af4,1aa6bb4e,219a0687,11924142,deae9f1f),
+S(83446c25,f0496ada,69354c67,8a1ae34f,154afba8,318be7e4,ec52e5cc,ce9dd139,7d4c3e81,98a8905b,63572a16,5fb7701c,c8f0c53,3a01f47b,532eeced,39cbd620),
+S(590279e9,f8a2ccd1,c62b85a9,87b528ea,d746a42a,fa07b358,3c5d6349,ef678b13,75627950,5089c0de,33822465,14565c8a,cd131b14,949626af,15c56e47,bdda7f1f),
+S(311d1ac6,4b7b1a8d,7c6ba19a,ee5869b2,2d769098,a6e4ef1e,3837082f,ebab23c2,c0b9714a,e1627902,45649db8,b7eda70e,25cc9905,57397adf,39c2c1ba,bcefc497),
+S(f63f9d45,10f232ec,5c1f3831,6e16594e,a82d133d,6dd4c365,1da3f34c,c8197be5,ecbd7232,4e732295,750d8c5c,b0290d04,9c778707,4cab27ab,35aeb978,3c743a7c),
+S(b772d2eb,c76f6f99,7722aea0,fb55cd6b,592fc0f,c8b87511,d85226b1,845a517f,6b4b0363,7186cb53,ef0d2dbe,3ec16efb,df0b5de8,dabd4d9e,871f7174,94f80538),
+S(4dbc968e,8697c131,7d9bc180,f98a1320,bf69fedd,24d71b35,c1e87c95,13420335,f6ea65ec,44c5e25a,549dad16,ff129abc,153393e0,e76b20e5,c1b1ebc8,9ec169bd),
+S(2acfa0fc,a5377dfc,21519105,a5f434f0,914fc259,95bb811f,1d17dea3,2345bac1,682e091a,47b18d6e,7595bd46,28130bf7,faef8df7,e8224e02,3d87ee03,b3be8ff8),
+S(d77801d0,eac64c02,cbcb795b,f030ef,37a131ca,f07ef6da,2f3ed0c9,f7c8922,166fed02,aeb1395f,bca109e8,5d599f9a,df684cec,418c7576,a4e67e3e,e1abd7ae),
+S(92006fab,e11362be,2c89d0bf,e1250e9d,3c5282ea,38be9206,f35cf913,496c9481,2a5b39bb,755a809c,f76ef97b,7e59f00b,70c94a4a,9dda4bf5,523e3cc7,2ac83832),
+S(43af4cc0,66155b9c,fd9decf5,e95ecc50,3c69e99b,b5dde00d,bc859732,f4f7d79,7415eb35,75c9e0e0,c237dfbb,af245290,11f5ae9d,63ced644,f8c5af7a,c3e59c48),
+S(c018d581,152fb656,c43eabf5,f4e7aa9,c8c5f722,f5352fc,3dda72d5,dacbf451,f9bc1975,acd5aa76,f2744c85,22a07211,daef05ca,8ab0c200,6196acd8,29fcc9aa),
+S(968bba6e,77c83e6f,be7272e4,f6288349,329058e9,c3b197e6,f9b56dbb,8587f2ce,3a841d0d,1066ee35,4fe70855,3bf034ea,4da917ee,87d27a0c,f60f8e99,ca45e065),
+S(6481bb71,dce335a6,98972f0a,bef2b4eb,5302893d,175e1f53,9a93dec7,53d8e4eb,94073fa3,98393d5b,ab446695,889f9805,6fd31d8b,c14b5ef8,8669736a,5586d3bc),
+S(22d38699,cdd4d0a9,ff6bf179,d611b831,647bbf23,5da1fb6e,ec063070,d5420cde,fd4c6d72,ffcaf8fe,3410a0dd,27497df8,98e02920,272a4daf,8967d547,4fd2cef5),
+S(acaf068f,34b0fdc4,b86f606,1f96d172,69f63e48,c739f1e3,46cba1f6,9e4c6164,6f9cae55,559fad61,e20bde43,ae671832,85e83ad7,429f031a,b365cc40,349ee3d6),
+S(1d2f237,b91c5642,d3dc3c47,9db9716f,47bb34e5,2bdfb7b4,1640e517,f83778bd,9036f65c,eb367bd7,9018993a,9e01b350,fc903bb0,ada247b3,26761011,bd70e0f9),
+S(42bf9891,9c347e33,65990f49,6cb09a3c,654b7a09,29cc483,e9028191,4797b6ee,56ed030d,f2fd51e9,98c63f3c,338892b3,49b2c30e,9ac6b3a9,a0f1c18,16b5bada),
+S(b48f90cf,18157b0,de5721e5,c0b1986b,1c16f2cf,1b973578,d8b3a41d,6d18f774,40c392a9,c94e2ef,aa5aa88d,36eddf6d,d01a1e37,60d8e391,4ff19646,94557641),
+S(8ec7123e,551695cf,c1668bce,86377900,f79e7311,85c5e39b,9d24bbf2,e6409313,f2f58364,339fd734,910c9b65,be0574c9,2bb9efec,ecde3b50,67850d71,d98adbff),
+S(7dd11415,1359f2ae,81d4b18e,5afc6657,788d2bae,5c76728c,d1d25265,a2dc2801,32f37924,4f7389d7,7f23333e,4c4920a5,5658254f,dd7febb1,2c3d9d9b,ba631c09),
+S(33556f01,4bd89b67,52e7e1ca,1d5fc7ba,faf6e25b,8a49f57e,51c293e8,6cfc4a8f,5c8467cc,3553a8fa,1e322b04,83a0e3b,fee08772,69582178,668c51ad,f3661454),
+S(f92da876,e7df1d95,cc2f820b,47921a26,413cb84d,ea6e05d1,da3c70c0,6f5151aa,907d6a04,dae7f625,409e9d3a,8a92f636,f5496ea6,c15825a0,c9d6d6ad,54068a45),
+S(77810caa,1e90962e,31ca5e91,2c310bde,cd010016,1f124b73,81492437,5d24f5e0,205b009e,d933e873,a2e12c0,5ced5536,c9b8918,2776bcbe,b297a955,bbc892be),
+S(5740459c,5ba49bee,db0fbd8b,5a5dd0a5,24d47dad,ccdbb28,567ce303,58e70b22,7092b9d5,a3c96984,da084d42,f2bc5f1e,a51cb1e4,b8508c18,6ec7066a,74141f68),
+S(b7cea84f,84d3af1a,797d90b1,f7a460d8,de9f4a6a,2f2887ab,8f464123,bf844cf1,22f82480,7b05e21,4b885ffa,e8576fa4,c44a3824,5e256d55,cbb1a5ee,343f577a),
+S(5180dbdf,73208c2c,b5e605f0,9f6403d9,ea5bc592,29007598,bad6a913,a80f5493,247992bd,bd823a2e,6ee55330,57d78d36,913654d,c3e089b3,fc042fec,15ee0262),
+S(ac413c18,ff3bb767,9070b698,e2108268,9bc59a13,1f011baa,59799d9a,daf43cbc,c2dc42e9,78569e63,ab08b155,1e4c52d6,9f770211,86803f60,dc752573,d536af5a),
+S(f7a5bdb,71b339c8,19ddddf6,10ff7be4,6af7dc87,6466473f,a01f314e,67bc52e6,6b572fee,bdeb8cb2,9b72dc1d,5df185b6,c50f5ed2,5e95a61,c1dd4822,72ca2adb),
+S(6980f38e,6b164eeb,8eeca173,15c6874e,c35bf6ce,78779e4f,19327df2,b1f57dfe,e19f87b4,4e72b29d,c55a47d8,2b5d9621,f15d51fc,deac84b7,87ac2ddc,40af3935),
+S(98adb6fc,879900e8,2ede0825,32da151f,b7a16a5b,8d2b9eb2,4e8dadb3,46ac67d5,a7349dcf,c4786a3c,2686fee6,c8d43a37,b91c1b82,886f853b,fcb6831e,c8404262),
+S(c46cfd35,101d86ed,965d16b8,55992ca0,932822a,550a71f,54543922,54b00e36,72c03b83,34d944f5,9c4f553f,c25ff5c7,d887d5dc,4e82f90f,cdce7e41,52977e32),
+S(71caf0c8,2402b643,ff0b26f5,7060658f,d29294bb,7695524e,99692495,b69584ad,b11c3736,436c04dc,3f4503e0,27ab7a76,2ccb1bb9,74922f92,8fd63012,e174fa68),
+S(cf46226b,243fd1b7,984a38cb,f27a7fd7,e7a35a9a,e972b0cd,4b438c86,c6df89a8,f40d1f01,ed7ca764,11a3e0ff,55d702d6,19a68ff,88d4df9b,3f7d9c3d,b96738fc),
+S(d8f271a,a092d515,176b611,25abe9d1,85a15d55,b486818d,b571a5c6,4c51b493,3878f749,5d4d9981,5ba550ef,3dabec35,fba40c5e,d10c4b54,fcf63b23,24b91e97),
+S(6d60b710,8fb40460,f893c53a,34c12054,6a02c037,821f2a31,55976104,11657d48,a03c71bb,788b915d,9ac25950,30d8c31,65c0c1c9,ed2abde8,96d3c985,3f14bdd9),
+S(924f3ddc,7d5d3764,66b47124,b75361db,8afc0eae,7848e860,debefb75,452ef586,c594e3d2,15f58f5a,255958b1,4936df62,3b68a854,4fba7aeb,58a54905,b19c5f25),
+S(a668983,5487c800,a1c34b9e,ce7b2347,1e4f5f5b,3be7b591,3390ebcf,2928308e,626c8044,942f74f7,8d255207,5f9d18ed,8982a341,583f1314,4f53dbba,40c94c0f),
+S(7fbd491f,ec466132,c2838c46,a5d6ee7b,9dc0318e,3b3bd3ef,88d3cef0,6465cfed,6cceabee,fa659f6a,c083355f,b14cae2c,53657f1a,3c536b4,193312d4,d4a28e36),
+S(85122c42,ebe8457f,be82707,e49e0b1c,be3995a1,2998ccd1,629b84ee,935efa56,1cfe76e1,922e4cbb,1023dd88,2bc03dbe,c0be2cce,9fde0797,92adb2cc,925dad51),
+S(3ac4d527,3be6b39e,d6326132,fc212640,450791cc,9eb43b39,a77c750d,8acad644,f1d8d690,c1011f,46f003ed,6f9a3342,ca0e918f,4096fcfd,406644a6,2cca296b),
+S(838144ae,70bbc188,a05f03bd,9123b93f,e4bf4485,8e380e2d,5d6723e5,fe955cf3,9d8aa248,2bebcfbc,cbcdf87f,c2342618,74e99bb0,507f472c,e86a1b5c,59307a64),
+S(4551b877,fa1d9811,e9fb6afc,acfd873f,7507103f,58ccf82,feeab7af,8e893ee4,ba0da9c1,1fb2719f,9a81e745,fe4ac1a0,221b01dc,7e3eab5f,9552027c,87b2fb30),
+S(baebea51,e0fdc8f4,cb3bb20b,cb3f4bf2,b37ce31,121d6b5a,7a3313fd,29fffa44,41a4785,df2c9ad2,99b0d0a4,2032b8d9,2f56835a,7bad7ac3,68370046,52c66446),
+S(8c03e4da,5be53c8c,6c6c1dd7,ced8fe99,b88de276,73ec3ee4,f5152a70,d0bbac1b,bef7a8d7,df0651ea,1d328729,b0f85ef6,a22b3d66,64ff04b5,fa1c9dda,2073d25e),
+S(8d23846c,34ff8756,bd30eed3,1befcd53,4b171dc7,da0715d6,df3104ac,23104ef9,49ae984b,be3cb83,1c2a18d0,f527df0d,27eae720,922f34a,b270888d,9361b708),
+S(362c58de,902d1c62,19da8e4,e8ff33f1,61d7c001,202cb2e0,add6bc30,dedba48c,235a0ee0,909dd6da,d1d8a8b,f5f1720b,d6d7e38a,b2b5bab6,788f1983,a5de3137),
+S(f836b56e,2892fe8a,a88aa77b,e345c48a,572d0cc4,87d75ddd,99e3e471,bd0461ad,c4254af,e34e6705,12d3652a,38801946,92a7b170,be6fc60f,555c3835,84ca0611),
+S(75374bdc,ddbdd08,2e408d8,4fae0652,bc6d1e48,89a7f0,bd1d2257,d75d4f4f,8b77030b,4ee786c4,2973b7a3,905d207e,46448c36,c7d7db5b,280f5936,eed70ee8),
+S(ec299deb,26cfa600,a6385db,f04c5b0d,128231af,6453fe62,29bf32f0,71bd1733,be200050,afb2e277,5f4b5688,8ceb6af9,50f901bb,b9a7dc2c,34f9df46,297cda1c),
+S(c2ec7bab,4350cb7a,d45f3c55,701203ad,bc00f9e3,17c2465e,efae7069,fed17a1f,33b1bd74,3375dfd8,f4c69ded,f7232449,4c376132,5afc8e6e,a6b67aaf,b4570355),
+S(62a96481,d4d9b559,e9ccd855,2d6307b4,8a5d03bb,7a9e7ec3,de8d193,c33ab2dd,c14bf21f,58c2f112,f399e6e,ada45660,6c80fcb,debd967b,e3e3af90,caa3d1a),
+S(6da7531,4b8bf8d7,7d72a367,63696a33,4bf5dd8b,f192e2b2,aa646277,f0d6ee3b,70da7974,1576f5ab,da432280,f269ad51,5369a399,5a7de050,ac7eff5,8b7f96c8),
+S(af59c78a,126296c5,f19dba32,b9e414de,dd2f1c34,6d6900d7,3ea52e56,5e9cbdea,35b963b1,94d1071d,7769e4a4,3fee70fe,4a63a0c3,bffa2c12,88ca2a82,a7c38bf8),
+S(a86e3627,551f2831,b88021d7,d8cff6cf,50fc07b8,5fbb0889,bab026b6,6fec63be,dd205467,4213f012,d45022fc,75de7c2e,b3c71348,efd536fb,1e5f875e,1ae55c63),
+S(2c59179e,d9c22abf,b8856e9b,311abbb9,7ec61cc,7ab145cf,5cac94fa,77d65004,e94a1b85,fc8c3c8,aa86338d,819f7139,96a5b72d,68952a6e,8ae48c47,aef247a9),
+S(f406f78c,7be2e678,d8315272,e7d861f5,250a4bf7,354da2f2,dacfa22c,d56e43fc,fe719c86,4d66efb5,16a49af4,a86bf463,6130891c,7fc7da01,4394a319,d66b0493),
+S(c89f1828,1d899423,83dc622b,7e6017f4,cc02b55c,5c48c824,5568aa3a,c3c25566,40a58eff,8043e3f5,753f9f54,31f170fc,795ade25,d6200e0e,bed182a7,8012de93),
+S(36179740,ea6dd2d2,d2a537a1,c9aebd8f,c9a570cd,6fc25453,1d58866c,83ee051b,80643869,fe206f68,4824330c,18073366,9b2b7e97,51f1282e,3c52fbf9,f4899a90),
+S(ab5d8e67,7fc654cb,88458b7c,e43b830d,74b441da,9a1af152,9147dceb,13bb2907,b2ecd95b,bc828f3f,53af76a,b5d60dfe,aa681270,74d8ca61,2558c778,ced8aae6),
+S(b1e79103,da12fe0b,51259b9f,3c4b74da,1d8075ac,e1aa912d,ed6da9e8,2bb14706,b726371e,7c872caf,42c049d2,96f998a7,c928d991,535550d,a13af044,bc61a1c3),
+S(9792e304,67ce4e2d,77f288fc,34c6b2fd,dde99e31,4f0137b1,f2da1d7c,603f5754,d880bcd2,6a74445d,4ad0bd78,2963cd03,9ba288b3,44711889,2ff00de9,4e966be1),
+S(d8180648,f046c427,db5a9912,6d54a1c2,915ffb17,c686704d,38fbe1fd,d60cf774,c4767b5a,fb34dd33,e5de912d,b0619e5,c39fdb89,2c131bf4,97cceaf2,aab6f2af),
+S(9aeac423,159b5746,565a65e4,c00c12ad,537385ed,9fcf267a,802e2290,ec19633e,7990008b,db7ff6c6,cf110dfa,96249b74,c5173d7a,f7489d4d,86424749,5ea3c63e),
+S(2aaeff31,78bfd5ce,b9aa4af4,71555de6,7b1c2bb6,61bd9aa,8591f15e,8148e97,629620c5,8542d054,86245859,e608b5e4,55c45fdc,32177c19,34eb9b6c,23554f89),
+S(bd0451c9,211fbabf,21a6b969,29edcd7c,43f10d34,219c6d16,1c5910d4,ae8b5928,23d4a749,b11a1fad,68a8e65e,5c940315,ff326947,868dd92d,9f6f9221,44a4a642),
+S(205c5f6b,88865d9b,b53cf8e9,7e97d781,8e038c60,b8177ffa,9501590,96ce5592,b8848543,287401c7,7229f94c,840e36c2,bb93acb4,eecf9ab1,5bba1b49,97d3745a),
+S(a3d24c8,f351ce59,6f2da6c2,def943f9,6ff13d0a,c7efb29d,ca3c39d6,5281b96a,28d5fdb1,a8c1934b,a98508bd,8b17168a,a78cf549,1b3b3636,8164e95f,17e8bef3),
+S(468f528e,8f2b12c8,4b90df66,8c401f4e,634b2b9,421d1a1c,1079578e,2739160e,3070d8d1,9cee21ba,510b72dc,b17b7e72,7c0adc0a,baf58150,a24fb409,9f203f03),
+S(6a106a2,ad8bf04f,a0ea0c66,179b3a4d,df0eace4,954a40c5,ad3d611a,ff7965d,fe893d8b,20f94be4,ed7b20bb,4feca170,75d2e5c3,61cbf44b,387947b3,8d996a91),
+S(e59d055,1f1f0a40,6e94a2ad,c92b1e5e,54b74ffd,8d0af6ba,ad25de6b,97a470a8,b0693f96,9257ca3a,da93a54e,f3c29a62,20cf4c33,a9cc6915,f51e4d50,8ceb7efb),
+S(ee7f4a6a,6e37fbfa,f7db77ef,ae9e8745,c5ae64be,338a6b52,e5138ac7,860340dc,c92c0a11,17b2bdc3,d043f6e5,b90f3cbe,412a9a61,79ae3f00,7c397589,69eb1616),
+S(d42377d8,5dabf33c,99268106,f86e7939,c87ed35e,affacd68,d211b4ab,70ec2c05,ef130233,589a5fc6,5a23a029,e1857b86,d6cb276a,8f37bb8c,996dce4b,e72bded4),
+S(e21015b4,d76f0245,8dffad7d,f67151f0,ff4c4d1b,ad5e13f4,a6e197c7,2e4c31c8,b78e9d47,31a4c0c,3e29e9dd,2173ab2,16a5b8ec,522604ad,43111600,bc3e1733),
+S(53c5434,9f0270dd,4c76d116,eb2df817,b66b504,87367767,d4a796b9,e4516f2c,5a4b7adb,66ace9af,59d1286e,3d89b2f,de525b27,6c27c1d2,1d7a38b6,b1b9f1d5),
+S(df9917f7,6cf50cd7,2b8b06cc,cba9a47,b7e0f64b,481adcda,a6942a96,2319e81e,171d72e6,cad16682,bea2a90d,72b0aa4d,899e1627,18b96109,4a501515,2b754453),
+S(79eccd0e,f2d48da,3ccdf12,91269dc8,21453173,7991bd38,ec3ebb33,56a594df,72371a43,74284937,aa92,6eb5e8c0,6911bf1d,4efb097a,8d78f46,da1a87b7),
+S(3a472336,4c182521,81f90fb,66d768c6,a1a46cd,85c86108,3a09696e,922dcb44,bcaefa87,7b8d963f,d6e535f2,db3d189e,4fdd8626,94b0b60f,136b25f8,14e3154d),
+S(edc9be56,27acba38,178b0c6f,cb7ce6e1,f6ecada7,a592d6e3,e859a16b,459c6d7d,bee091af,de809fc6,9b819ff7,1691f13f,321dd702,3944432b,a278df70,4ea02eef),
+S(9adb48f1,439c1850,1895ae30,649992af,3ce3d085,13c6a92f,5226f3c9,ec09e5ef,3dd78cea,3a3169dd,78afb39c,ff690eba,e9cd5f3c,42d7c583,ef093a57,635a1df6),
+S(942953c3,b620e636,63f2bb83,6c2c3a9f,6cf4a931,2587f57d,9489ffb2,38895bf9,415c121,6ed101f2,698cc0f0,9c3ec0a0,c0e8458a,3aaf5879,87ff1b0,89992932),
+S(92c539de,88e6d094,e64c4b25,51da4149,19677124,d8d1e53b,4d0a81a8,53501619,c9b5c7e2,dc61d875,4f33243,de28ed78,adea8e56,e193ab0c,d1f5464b,e9003a45),
+S(29d33ba1,e9972c80,2f135a4e,add34b21,408be4ee,29d7be7f,c7f8ade,3ed07cfb,847cda60,a3e6627e,5abffd6d,b56502b5,f26df3c4,630f4f76,aa868899,63566e7a),
+S(727abd10,6aeb6f80,f1dd6319,4bd4abb2,2db5d8cd,e7676273,cb0b4246,17983d2b,476962db,5de3493c,58dcfa1d,fd206a44,11f590a8,2c7aa7cf,3fb377d8,623c9639),
+S(d898349d,89eb2d49,f2865e19,88c3b5e9,f43ba281,6a0ae0d5,b031e186,b23fdfa7,4d3083bd,681a3a1b,988d3bfd,70fd6b13,3a1d2264,feadd852,b2298450,f729c471),
+S(88526dd8,a52010d0,fdcd0223,7db54b43,f73b7195,cb3b2081,96257c7e,ced4649,686926f8,6457861b,4eec6999,626115b7,f9e29e0d,74e44027,5df2f583,7b75699c),
+S(6b64ec54,3e5c83d0,b36711ec,b0a4b8a9,25fce55e,4923fcd8,6dcb48f5,43bcc107,8a7d84ca,e8431663,3d635a78,9598a22a,532465e6,f86e6eff,108449d,a5b0ddd4),
+S(9017d917,e7e80f70,e5fad8f0,3cf0bcf3,b20bd8f7,95c4728d,e259bf0c,933088c0,e2a9c53d,e1278404,60828e57,eb5de14b,eea14cb3,41bd4d6e,4b960ae2,807299b2),
+S(2f7b4a5,591268c6,eaf64c76,5a8321dd,2485ee36,bb1b338c,b1473535,658c376d,8f2cce5e,42869466,a3658460,c0ecbb46,5d850b26,85642b52,e01f3b08,544fb94e),
+S(316bc4ba,1dec120a,7a10ef1a,aaf40d63,9f404948,ba27f46c,58763508,4809c78,3522dbc9,f861c154,771952da,7dc04ef,5b5100f2,b4355177,b62ace04,a717d056),
+S(69c07c8e,2c1facc,7ac6e08d,3b74f1df,cc24751c,ada31142,72d2e313,78d76683,474693bd,649a0877,a3eba75c,910ba3fb,bf8aab97,5fcae30f,cf47a51f,e9a59f24),
+S(154e4dbf,787e808d,c19031a2,df25536e,4bc6a71,b03d8f77,5c652812,75a84a30,e79e1a4e,2440cea0,c6c63098,ecfbc52,f5cbec08,39589beb,251af76a,50eac221),
+S(61c158a6,b963f853,66598998,908f85f9,bda6ad6c,827702ba,f81922ed,2b675b4e,d63cadd2,c63ef3af,7c8e9695,4ebb28ec,48dd2c86,a69505be,d06ab3ab,c4bb4fed),
+S(97dd50fa,eda2da43,aedfcde3,9d55b52,de43af06,13435b7c,6744dcba,81cb9b3f,e99138b,1c86d820,70ff2e82,413b19ae,d83eb23d,636c4380,70116490,bebad75e),
+S(b2a43ae1,947e0e8c,e2009813,eae3e500,ce67b1c2,cc19701f,5b6cced2,e775cd57,291593c1,dee03645,4d0b8be2,642cafbb,cb3b7fb,a045e402,2006c702,3532167e),
+S(20580468,68663d06,568988f6,17442d5a,6a65762f,cdbe91ab,128ef99,990d722d,ea32d66d,56f1fc93,fd559c0c,e8b200e8,e423d097,26e564f8,8f53b3c5,e8dda8d4),
+S(c2b98b13,bbf661c8,f4cae855,158f095a,9b62947,134c5da0,9dd2d377,959ffdba,3d6386f6,915a7e26,c63ee1ee,6970928a,6f0e4e29,cd3ad665,fa4164a5,a8b2cd7c),
+S(fc6c98af,7fbf38e,53690a78,34d82a56,170a18f7,a4e702ec,6e918510,2700611d,9ccd38cc,f8aa409c,1a9e0b14,d01bc9ca,69b5ed4d,7f92a177,e42930a0,222cc755),
+S(21157d1e,1bca5a3f,2dd0153d,b9af3079,e1e531dc,9eafb9fb,5042af2a,e67d7000,254860bc,97cecac,b4cba1db,79b13fc2,199f037c,aa963d4c,bfa2b9d5,70456cd),
+S(316ea33d,dd576b35,e45fc5ea,5e384070,68ca63ed,1149807,68a7c6a0,d6c628f1,dc236dc6,d0ab4c12,63124830,633729a6,9b20a22d,7d395af0,38d6bdc4,34983baf),
+S(21b825c5,44a41bc1,9f048a0c,9a532a6c,18df41e3,e7cbf6db,97c871d4,a3cd0039,9d85ccda,c67a4a39,ba10128b,382925d8,6cebbc0d,70354ffe,aaf89ae9,1fec461f),
+S(65a4b32c,e116790e,f671e6ef,8ad317fb,efb815bd,fcc1708f,32c0c078,2ed41140,634c9efc,6470a929,8844f082,5a9d34c3,ab14778,7969f095,a1b45f1d,dec806bb),
+S(cbdce03,45e01ae7,77ebf819,41123ae8,b4683169,246c5156,6afd6a54,e9eb6844,5414d24f,ecd1a159,70882003,3726c1dd,ad939df2,9a12dee3,224fb9f0,a89f03f2),
+S(9c4d4ee8,3a36544,ab38334a,46586864,bc7c301f,710d67fd,226d6e59,a6532374,868f765d,3dd5823e,7e2e6791,21bcd41e,9b89df55,27e191ad,c5016463,ac7c7991),
+S(4c890df9,dee96da9,7ad0b768,16a50240,2c9fad7d,5ea13a04,3eebae41,678214f,397de76a,319e758c,199e2343,6990a34e,79b968f9,1139324b,66e5f7f0,114cc9b5),
+S(c7f4c3e3,f7ccd93e,2449c653,393ff2f9,c8d362aa,3dd01128,9879c983,f9b49229,d2ef30d0,68321b54,91519698,79d8dafb,8d2c5ad0,9117687e,10c5a57e,ae4df846),
+S(e8c810ee,daa58b8e,687fa493,6d833930,e7de9bda,f73f11ca,23734756,d4d05af4,2690ab19,e6c9df94,349600a9,269c76aa,633c4dbc,abf24604,3cebdc83,1e117d03),
+S(a3f51d28,ad743812,3cf9a169,d6581d9a,3d41a131,a8109eb9,a38bb3ad,9f66187f,3f87496d,d5f9ec37,2e3d0e79,7c12e7e1,c328658f,49cbf237,a4e36415,76b89e75),
+S(ee0baf50,f62282d6,b560d1ff,c18196a1,a038b27,f081da32,1d82f3f1,82c27b17,4e4dee4b,182056b3,dc809d4d,2160a5a2,b6dc8ef0,e933e45b,5bd1375b,c677321b),
+S(346b4fc7,535f3a2e,79330614,e0618d0f,c2a44ffe,a684076c,704764b4,8ab3d95a,98a41f22,cbe44fe5,37116f8b,9ee68e3b,48ed63d8,33cb9567,278c520a,e400bbd2),
+S(55fc8976,b796bf67,9de4b2bb,aea29d6a,e3cd032f,7611e59d,75b8ffbc,55c32b79,2e5d3a9d,f8b32c5d,bde33229,f2e9c852,702dbd58,31bb1917,2e47685,c395ad1f),
+S(4ebe6051,7453c3a8,a7b65c1f,fa7d0b89,c4cd4166,f2b8c670,3a71484a,f62dc563,6fbc68f5,a7b3431a,1dd6ff18,b7f1676e,a42ca708,f56e50b9,8700ed3a,560b3850),
+S(14bcdbcd,73f2896,c8b37bc7,e06c195d,17349c69,9be4ce19,3fe4e145,a79e20eb,2bacba55,a4611886,7e3c11c4,4f14bfa4,d5c702ab,b2385584,e07d7b08,42a8ec61)},
+{S(c8116b60,1f8d72c6,24957215,46b844f6,bf6bae0b,7575a77,f1f6c6c2,5524fa2b,b7477ca6,de2004df,34882c65,3a46821b,53372f13,ed822cbf,40c20bd9,ddd1d6bd),
+S(f59c22fd,8c5a2e,c990f3a5,e6adcd12,f7cdc433,88ddc16c,aa41b9b2,2fd8dddd,8f63f807,eb1b96ae,ec9a49db,818e1228,b9d9da5e,5b1603b8,f5c65900,782a6c53),
+S(effdde86,efffab86,6d1da179,211a52e9,b3ce9fcf,c5c3282a,1a87cbf0,aecc882b,57f4a91b,b88d9746,1d1ea75d,4eb2501,46899ac2,ca707ae7,88f35b3e,9f6f8e36),
+S(6a4d17f7,3eb94a48,a369cc8c,4c827003,8967190,3d6ac75c,cac7516c,e78a8da8,51f297a9,23bc21f2,ea576db0,15b49d80,27fb1ea7,597179d6,fc47d749,5621d8d),
+S(7af337ee,d52f0c7d,ffd0628f,7866d621,dc867661,7dade077,2655f1e,3c331d6b,9b202463,320d18f9,2db990ec,e41aae7b,112d6390,33418eab,7f86c874,a040e2c),
+S(4a9b0428,2687d362,66d8f33,8cbc38f9,8d6e6f8b,bd5dce2,b911d192,2e70a583,c2646913,7c7023ff,abadbcab,4da4b90e,8ea8736a,fecb569e,dd822733,8422d74a),
+S(53a776a9,e10f53a8,454795db,bb340cd3,fd0ec50b,51a164bd,549ac834,ede835cf,1b976c44,de266928,49631bc2,950b4d24,f11fce3e,a728674c,8713d3e,35f8c0cd),
+S(48ed6e74,c75c7733,1aaef9cf,ce06038b,bb405ffc,160c5711,b98ad6e3,44baf62f,fa56b3e6,b826b847,667ab6c0,ade30415,39d67509,61c0c199,14715bb1,bfb218e9),
+S(65db9062,2328f7cb,e9afb758,294e0d63,d0042b6f,7615225,ffbd341b,16c5acd6,1ff10083,e9f66f89,bec1330,dc309813,2d434191,2eaff4ca,b3c20177,7001096b),
+S(be836639,aa622020,9ae01ae1,f96f9256,9ab7aca1,2f5a7277,903dd653,18f9dcb8,293ab5e3,c50f117c,71dae650,b16fe28e,bc14eff8,38fac552,6adb3393,e177ffe),
+S(5ceb4539,42c966e1,65c0e346,2172bf2,e6e167ba,261d0e61,b67df26a,9857b747,88d78492,95312fa7,ee43ffb1,775282f8,f692a83,c6b4a72c,a1ebb44d,28983f00),
+S(216fd6b3,c5358b4e,831327fe,2918d70,ac627bc2,e12ce34a,adcbb23a,c0ed2a8b,d450d01b,83fd1935,f0a7c919,cb91d162,dfd14cdc,3d15661e,a303952f,ed70e684),
+S(354a9835,50c72d71,37f8d393,2895f1c3,b2e6bc19,1d9ef2ec,3a2b7dbc,3cd2ef76,e4df044d,4ff91794,3e6d4c59,90095781,5ee0338d,79329ffb,ed74bc19,103fdb6a),
+S(4215c5e7,7d2cdd03,25f38b38,8a204013,62114d94,1bc57216,56e57878,b2750502,b4d82696,1aedb8f9,60da2950,cb5b489e,857e30e5,20a8e1b6,84dd4032,d8b6a494),
+S(79bb1258,ef4deb1f,4a2baa34,91d9e27a,7b75774c,133b9112,3e5fd848,37a57aa1,d467fc67,dc932c7c,48d69609,f955701a,e6a30205,42a51c2c,10591fd2,134bfd1b),
+S(eff02038,49797c99,68c8d63b,14a4d84,f4852504,2ab269b8,182b2207,ba94eff5,79a6fc31,e09c939e,f69a345a,56b90c39,2dd58054,e3f23e9,c16f84dc,ffde8e0b),
+S(856e40d0,54323270,3ae30d75,8405401b,72f7ec1e,96cf59ec,1f3b8465,23466dc1,d1200346,5e56370e,96663479,bad5f6f,8fa4713e,79217649,c48eaa8e,4bfaa8b7),
+S(f020d944,14008a39,59feeeda,49fc388,d41246d5,39a5bfc8,8f9673f,8b0213a0,e88d23f4,5919f0b0,a037f4ac,aad9de03,3f070c2a,f967fcb6,e251c17,69b62658),
+S(ce486f16,39af644a,c70dfdff,6955db6d,ffd6f69f,1dc86c40,a318729d,e6823239,8c0fe4cd,debc1c38,37325664,f8cb0235,b6f32ba3,809dab3b,60c3119c,ded40b4e),
+S(2cd69598,f476efc2,4b65aa98,27607a9d,3c643033,3cc78072,7e3047ea,a3a7244d,d287d0a3,6749cc57,bac0159f,1c4d738c,a965dadc,be36bf2d,f3f55372,6ecdbb3b),
+S(f7d9e16d,c71c9b21,be93bc6c,b00888ab,974c7568,cc09479,16b09532,7c486850,6e561ec8,7e17d433,22163af,8253b659,15d04fd5,24a941c7,a186ab15,4be2d0a4),
+S(e1f1b231,3a8bb5e5,e030d6e9,ec921515,6004a01e,f6d737ca,ae4ee585,80377a7c,bdb81500,9c94dad7,69b8744a,2d19cb59,8335ccaf,d840ddf,8817d4b9,735a8e3d),
+S(677543bf,d07c8fce,d24cefd3,bf38bd0a,40079c68,1349bf24,c8fe25b7,26365fb4,3a7bd8d6,c442438e,3a1a53ff,d2a6b9d2,e0b3a565,de374417,189d0dc,888c02ff),
+S(b8a18d49,b1d4593b,d103b5a7,dcbe4845,e0ad2644,41d1d60b,ad1e9252,1dcd773e,78ff6195,aaec6cd6,cbbbcb23,a81c6ac1,6bad7a54,7b0ca465,5e1db742,2a0c8edf),
+S(b8f4e588,1f4155,b7a4fa26,1e34ac3a,3d776ff3,d5a69c44,6774ed8f,e57201a6,69dd7683,ab9bca83,a64ac013,ba62d2ce,1ac5866c,f9cb046d,84f69b34,168896cb),
+S(4520c74e,5c39f18e,47d16c21,51f90013,395f2cdb,c59d7f2e,fa40be99,e843855e,ebc0a6df,bbe76c29,d1f32546,cf7038eb,ab3a5e2,bed16a31,acc587b4,41051093),
+S(431f3a79,57636916,5d1e1b7d,dcc1be51,6138a26b,beb1a3e8,5c49f42e,fa6d9c88,6cf98a2b,1f747122,2f6835a2,116b8e94,8dfbe5de,72cd9e7e,7499493b,bc5e590c),
+S(a03b812d,fd8291ba,ef0d00c2,25437a90,d8362fd,6c5f1b03,965cb3bb,ae9664a2,b3a8f60,a26d6adb,5e761692,a8cf3738,3dc30e79,6417e4a,23db565,487ed88),
+S(2440160d,4b874cac,adf4e1a7,6eb079d9,810be0ee,2a8d6cf,5f9756e4,936608c2,c5823453,f331649e,45a228eb,4b524ea6,89047e70,31ce2894,61f119ae,a865ea7),
+S(c62fc4bf,ec4f9113,1f5d3c0d,36807b15,35a52246,225b3959,4fdb8f3d,d8539bbc,a7257908,497a26c1,484c0d25,75052095,a1d71db9,ea5b61f5,e8c4257e,291129e2),
+S(1de53f0b,82e708fb,369fbce6,72595b67,5ccc73a6,15797faf,333ad7a,7ab16b,ce3ad57a,99b253a5,ede23b7e,e39c7c8d,e5a1cbaa,8bba04cb,d11d1183,c226bdcc),
+S(e7ff8510,10f96b2d,80fefc2e,cb1506,3e29d450,13dc39fa,524dfd38,4e1a5ad0,eb8ec381,58f629b4,79599ab6,346fe86,c1159368,161d275f,e55810d2,84d3d768),
+S(e06c81cb,ff536295,a2c025f8,6bfde632,ef52d427,2c4d002d,dba88b4e,82570c1,590c13db,1df2b414,d392d8ed,d8b2a303,3d50460,4f1b921e,1099714,c6e2fd1f),
+S(28a5c19e,1a67cc90,f5cb15f8,b969d5ca,503b20fb,e5a52dd1,4304c5ea,4ed6ef5,66b9f844,184c75ab,223c5cb1,8b4ceeaf,490969c9,8cddd8d1,122c6e87,6b2e590b),
+S(a7bdb9a,631e67b6,9474ac3e,fffdb6d8,454df8c3,87589e1a,7aa6788c,ba47f72b,99d88a77,61bdfc23,271675fe,5dfb2e70,6a728eca,dc83286c,2f7d0d2d,b14ebb9e),
+S(44d3cd82,87cdb65f,90f38467,ee478633,8ba82810,ba9ff195,c55b752,22d27fad,35b7a398,80755784,57b41ad,43bfba60,78d7ee48,7d6cb190,9070c80a,3e1dc4c8),
+S(7c42f052,87446002,3b609b2,8ec61849,221a62ef,11e6e3c0,718c1c25,27a03bdd,c57bd1a,a31b2fd0,690e0551,6ff9e744,243e0bf1,91161aad,8e798b39,2484d707),
+S(f3555643,f09b3164,6c415bbf,c2031605,eea9abdd,9b76d431,10e61c9c,4afcbda8,2b982eb2,a3cbef3c,d1af4315,178f7c9,236f6dd8,e4bf9ae4,7ee56039,ef9ae98e),
+S(dd917a87,6382ee0d,10e22c1e,3bd48a26,4d74cbdd,ca1a062a,8c84cf76,1c59d390,2c958858,2cc386b8,42fc7041,7994e479,f3027693,9011c10c,9aa35f52,335545e3),
+S(220dcd6e,447f847d,d0d08170,e9a6a817,38cc5c8a,9e911b0f,1dc4aa8f,946d0cd5,7bc7de64,70ff4484,db2696,4ff06c34,665382d6,91d25bda,95ed8bb7,18c0a558),
+S(ea30144c,7ac98f2,90ee04b9,9f5fdbb6,e08cb88a,fc99d635,a3daec8,3393f191,a41b4d67,abe18ac4,79d87a90,63b7f0ca,e5adaca6,cc9471ab,b121cea0,427c620d),
+S(32825a95,6bc7e979,b03437a4,efeae923,fba1d408,9ea77ea,9a1dd25a,66f63920,e34d81c,e28759c9,ba0c8b31,e57a0a9d,a45cedc4,9e57addb,b81a3c27,30b5882c),
+S(78d197a1,975db98,d2014422,58784a7b,4aeacdc5,f72df33,9aea0a9f,8cec5ab1,1fbeaf4b,8c470387,f2d35e9c,36ada81c,7ec62d23,ec8bfa50,2af1868a,92f9def3),
+S(e74f8d82,a67f687f,1ffaf4b7,268ac9d9,dbaf42e7,6c1bce34,9d473521,8a4d1d42,695440b7,a234caf9,1f72cf0f,255d4dae,398f4077,93f40211,bafe60db,bdb804aa),
+S(de66c91e,9ddd0fc8,96fa32ed,ac4487bd,2a8fcd51,f4f14c3e,c0cf19f1,532ad5b7,3b1f48ed,30df76af,b0630c27,9914594c,58159b83,42c97763,498c8ba7,deb73aa5),
+S(9cdc5f48,299b1090,e0902be6,6fffcf06,ae630650,e5cde3f6,9e719314,d75f2334,5ba9d4e,7dc788ec,ba0b53ac,3a68309f,21971371,e2db812e,566ee46,a61e7fe8),
+S(50ce38e3,809cd6c6,601a095e,d5a63594,2cd40f15,f97cb332,fc19d70e,a1214e9a,b7ed76bf,a0e0687c,44b66bbc,ec0fbadc,94fa09de,5b1476d0,6207e256,dca2fd7e),
+S(aadaad2b,a6d873e5,a77ed2d9,ce26cb0e,349c7b6f,6847636b,566f47bc,7ef52c69,233b40ba,b4082ff5,c7122143,a45656f5,2989b62e,391bce37,d7aa245b,6c84efe),
+S(7b219f5f,8f045219,5959621d,6c161a70,b4ef7a57,cbe7c9f4,fd539af5,71b8e0f2,8efedce8,dff914cd,e050209d,3bb91af8,c8d781ef,a87729a7,c5a6fb6f,8183ab6e),
+S(31dda168,6e3ee50e,4e39f01a,68797bc4,7763ff27,5fa4489e,386d9902,c6c328ed,688d2e05,64b66581,cc5b1234,20a6c331,d33019c3,84a63c8a,a6f14be8,5d392201),
+S(ea514512,aecfb0f3,94e59d7f,d9d558a8,cf535464,4f2f0963,2e2c6364,b1d57b5f,aa2ed069,dfd3144b,c9aa00d9,5037b099,9c35ba17,d6ee79cf,3e9aa5e9,f5dcca2),
+S(bb2f9ac4,107288f5,66be0b4b,7b294e61,ec868a7e,4bb26a04,e4f473c6,9bc8e40a,6fb56eae,bd923ddd,c5028472,aaad2e0d,b0c80465,2e59c87e,45246502,606a0f74),
+S(b9401bb,bcaaeab4,9ac42f6e,d36891f1,bddbe0a2,81ec4cf9,8d5f306a,ee9a5,ea40ae75,812da94,9bfcfeef,d22fa5d7,654eef70,34d3393d,6959a59c,2312dfcc),
+S(dbf74d05,475cca1b,218bd219,8b24eace,99e0c4ac,56fffe3e,6f8f782f,8f338437,95f6b97c,eed1b3e7,b8de7f15,55f7ac5f,28649660,a458df0b,1806512f,f10dd82b),
+S(cbc07e16,64041096,9e78dcb6,585abe6,9ee2dcd3,3febb64c,1f5b8bc9,419023bf,513e2160,56a3dd13,516092bc,fe6a5f4b,3c2b2843,a55ab69f,12f8387e,840a1772),
+S(14504eff,814dfaa2,78704245,f0b11c4b,99f0c104,1d103e8f,a221a4f2,d3354164,a61998da,9bbce03b,e1bd153c,c33e85e6,cd2c7b18,a2ff9f6a,4cdba579,593471d4),
+S(5b6d95ad,e3defd6,742e2e16,f4ca48e7,118e2ca2,cce878bf,f8b3f2df,fdf4895c,841ad4cf,b538795c,32000893,e0306415,b15edb8f,d83772b1,4de4f2d1,ecb180bd),
+S(de084c,e1cf681a,f081212d,7e08f5df,89ec249a,fa419bf3,189339c,8a962f09,7790872e,2b35ded2,78f496a2,8e6c4907,8867c0b7,fd0910b,900c68f4,c11831da),
+S(ed4e253f,3e7e781e,86290b2e,56eed44a,47b6f73e,74282d0,b7b54f7c,d75a97de,94a21c29,5850d088,d6cb20e1,9a2a3975,b27db744,4f19d257,cb3c1bef,1a329cb3),
+S(3e8f32ec,ea23ba55,cb6d0fd1,41aa2225,9531ec35,bd7f3ec2,7291b798,431e2ee8,1875388b,5a9d4571,66179379,4e7c5046,ebd10c34,9f5df4f1,ed50c11d,952bef32),
+S(4d2afcdf,bcdfe440,eb211566,efa59e4b,38385f69,5e7e2063,4c3b4606,32e5a23c,4694e00c,6b55863d,693d68b7,678791b9,f09df4b6,98df84bc,69940429,cbe10a39),
+S(84fec62,e92704e6,1013bba3,4dff3876,5e4221ec,f72ae24a,1e80a814,632a5505,b74a1f4,9b9283f9,d6d01827,8bad2cc6,73cad8b1,99a1dc83,bc0ec561,78a2539e),
+S(8114debc,44e517e1,1d900358,d0b831a1,38275cb3,371ac707,c4334544,bf076dd3,3bb2baf8,a42a57ce,d6e1942d,8324c795,cb05b978,dad8d20e,6eadf721,9f2b2d74),
+S(fcec2f7d,20af0406,370f4aef,b2bd168,592d6a21,d5963127,3f3b836e,d1d881ef,b59d480c,b37372ce,d5ff46f0,5f1700,ea5dc847,1ecd2983,42599bcf,eb696ff0),
+S(c000ee62,5a6ae49a,b0226f97,dbef0469,bd02e7fa,a8e3d4e2,b509a6ec,cef15876,b13e0e83,dc9c8f89,6c82ee3d,6cbfa8bb,4beea7af,5210a6ef,1d331180,83946dea),
+S(142a5689,bc43523e,6f0c2922,78b7c68b,c588ca37,aa934997,63438dac,f5662669,cfdfe57f,2b80c32,f90af575,195dc71b,b7890d94,c27385f5,1451429e,41de8119),
+S(3935bcce,35fe92b8,a2722b4c,5252f5,e6252b49,2ed2b8c4,759fea06,211bae0d,23a96df2,80a4006e,9674b0d0,e44ff5a2,f7073656,3539de18,a87529c0,4640a769),
+S(46c985ec,74815b72,97d7052,35990967,1257337e,efb0ed46,93a06124,6bc5d717,952cc49d,f7f79ad7,8c279195,dd24fad9,ad75413a,5ab78869,f1c686ca,52dfe9e3),
+S(2770cd58,25287db7,b352380b,b894ca9b,a8ee672,5153b7ea,1f28b254,566d1e27,c29b9df,d3028c3d,b7859d8,30de1490,e1f8abc9,c95994be,13696587,8ffe9b99),
+S(8be87133,6feaa5a2,c5c3ce6,8d58159d,75c54e90,12922dd3,da4b534,31bc8153,efeeea2d,440e6127,bc12331,61a18497,68a280c7,6858bcb7,3a5980b6,baa4dd39),
+S(675af413,e5bcd4e5,1c522a85,9dc1f3bb,14356298,62117c2f,90107af5,496fb8ae,54678238,ae95415,219b860e,985acd37,9d501ce3,c68b208d,2756cd64,6b357578),
+S(5696c5c9,6f8f3b03,f1b3aba3,af85f160,67c309a5,bf4fb8cc,586a1f40,cc4e58a5,f675529f,73ed6987,ba2b1bf5,d202554d,8de9143e,809582f1,4ecfffb8,6a0cf850),
+S(2e0f5a9f,5406695a,ba5bac9c,69865f34,ee2cfe1f,5662c055,8d88b422,76d5cbbd,7bb0e1ba,ea55cc81,29b074a1,3380f9be,c67af07a,e91ac96d,c0a46b92,6148fc4a),
+S(def49b1a,84ce9199,bfeae925,7a96c403,5dacab0c,80e58a7b,a69609f8,7d3a5214,54c75dcd,2294d953,cd990cb2,a2840c11,813fa97,19178421,18f9774e,de4aefc2),
+S(d33f0bbe,51af9602,83b64d36,fa6f8042,fead9d96,138769ed,25b55fe0,6e4b0013,8a9b41d8,32fb7aae,dfe94380,cf2fd2c7,c0e7592f,e3a8c32f,b1cd4aa7,6112227f),
+S(6ad93b61,5b5da7dd,8145ea46,7a99fbf8,57529d5f,f25d1aa8,f935163d,4b2911ae,1fc64130,7e4228fc,2354227e,60b67305,9415c19f,d2a084f9,e9caa39b,d2b5cefa),
+S(2c886c1c,ba67d840,6e33ef48,6c3e63a7,c3d9610a,67033bc4,f19c0840,784a98aa,79fe3de0,7363b7af,7d3a41ff,5d3aec6f,ef80426f,be455e12,526120f,5b884823),
+S(10e59c98,b357ee38,3c306e3b,9c1be538,420881d3,2de1462b,aaace4f9,d84c252e,450e954a,92655710,c3e6279a,94fcb52f,c9aac9f9,2dccb95d,97109030,49cc71b6),
+S(32725d0a,dfad10fc,c95db4b0,4ba65569,e88ec325,9cdbf02,5194c69a,3a18722f,d87902ed,f0f1ce28,3bbb3fe8,113f6bb8,9976348c,965094e8,1e24c28c,911d8533),
+S(b066a5a6,da035350,33888fdb,87e28292,4ae805fa,45b462da,82ba0622,e6fce040,5337766c,2ef3fe37,42571ab2,286246d5,95ba7087,d3c38332,6490feea,1863a5d2),
+S(6ddc1ecc,e8c7cb21,a681be75,a2143ffd,2663b75d,9ede8a15,d0b5189d,8c52f63e,c4da0af6,8eadeae3,ed9b5b61,a73bad5d,1ae8c080,2777441f,cb15910,153284fc),
+S(c82cdab,1659a9b8,2ba0414c,bffaea32,eec1b41e,615bb47c,786abfbd,43698d7c,91e026f6,781ecd32,ab59bc5e,2ec3061e,5f6af1fe,bb6e627f,167cbdd7,afca63e7),
+S(d932562b,6cfb8034,ea75e656,502ed81d,2b5b80a0,ae85aee1,29f677ce,aa5a282d,ad101b8f,97aadb58,d0b3d8d9,1cd24950,de0a8baf,646e9d9f,734f0f97,5043edad),
+S(ec3f50bb,efa0b462,66993e4,233e5e11,f4bf4d56,19aad9c6,37638bfe,d8e45916,d63f29d,3f7b0b6d,b8514712,2343f51a,ff1cf956,e5f49bcb,3a9ea5bd,639dc2a1),
+S(b5ff4795,4d6fe3a0,22303189,6eab5c14,bcb6dd3f,497ca561,1e3c9af9,b7e9cd79,16605e0a,5a862ccd,b9349159,13da9d4d,dd537edd,817a0e24,d0d59101,61105b18),
+S(b1f153eb,697dde61,36beb382,da8702dd,a51e61c0,963c6d45,338982ef,dee9dc7a,fa1ba411,1823398e,23462cfe,339924d6,b6eec980,729159ef,20f8c8d9,f8143645),
+S(42206dfb,8dc8eaac,d0f04c0a,da3a2cd,38c60bc4,6d1fd148,8fe12c04,f15904f4,c44393e6,2969b4b7,ac388f07,8b997de6,d4e08893,dd17699d,9a1cc885,84f3c5dc),
+S(56cb266e,152ea2f6,1db917f8,c9b592e,3ddb2643,341da585,c4291d80,d7bfdc62,f7e9f332,8e963d0f,a3d149e9,c4c590d,e835747a,b75df64a,41d919b4,4fb18ba3),
+S(5e1d6097,991e9fb5,b099e173,d263199c,cc3e626f,b512e6cd,cece57a4,888e6f9c,a151698a,aebc1dd2,93e29cc6,bad03cc3,2a6785ae,61da1f71,d50240d4,825962af),
+S(4acabf0a,8cfa489f,34a622db,9e22536f,2da926e6,97d72756,eff9dd84,72d7b207,5bb50941,836bfafc,7e3f693c,28818a30,825a2b7f,39282d7c,87fc543a,5981d96d),
+S(1a9bd6cb,59008470,48b638e5,576d24d2,175afb0e,fdf4c499,fb4aa143,328cd058,36fc0b8f,6605f00a,9822ba7e,c97fffc5,9214a479,eb6c361e,dad89e13,7d23b896),
+S(649da46c,ccf59f43,e04c1456,9db1da2b,7506bf36,fd5a1aee,6505d8a2,bb812f5a,251efafe,6319ae16,7d69c617,46e2fb8b,edf77fba,b0ba1fda,1ac30ebd,21c65ac3),
+S(66e9a7b6,5682def8,a7a7db04,781614d1,3e176461,b833771b,6001dcb0,f87d316f,ae3d2f9b,442bad03,e27a8d42,fbaf2f9c,294c82dd,fd5b892a,b5aa2a54,df3f9375),
+S(d2f13641,6c42c603,82cbb4e0,108a937a,cfbdfbb2,d3195d69,ae3ec647,50fd2e25,e8de2060,b52a7ed8,b1bacdfc,de026f95,a9027727,4a6fc948,76dacfa5,5db7cb35),
+S(2737e1e1,5af922ee,fec76921,7064ef52,fe555f93,b01ce4ac,e03d6103,93742abd,f9e08b6c,dba1824,d1cb2efb,d9c5bc22,5a71193d,5626ffbe,9f8bdd1b,48aefbaa),
+S(e7a21d74,2203c820,e7da2fac,333c1797,a90b69cf,9b909dce,7b71c052,5c690576,b9888022,82323a5f,8c327eff,d4d10836,23e53b2b,7e0d0c20,cbb48978,f2326034),
+S(16acf8f9,854c5d89,5f761823,9a557dd9,320fc976,d2df1012,502437e4,7778efb2,1dd09906,c2c229ca,28e49088,dafc49bb,5033eedb,4cde30d3,8881a2b1,e3368411),
+S(74462c7a,64d0ee15,cfc48ab7,874a5f91,c4788e0b,dca9560c,eee55fcc,c2ace309,c9468199,6e11ccc7,ae58428b,310a2057,9f8d686b,a15c2ed0,7f999027,5766eea4),
+S(77e35da8,705a03cf,ad891f9a,a2c2e56e,c0c5b88a,38f9ec3f,8dae4c68,cea94ae2,7cde0915,9188be27,54c4a653,ae576321,5a8c442e,6931c5ae,f4657d68,3e30eb61),
+S(314c833,d308857e,cc5f6268,406463e7,e2d91a5a,f536647,2382ba41,70c403b2,3ae0facd,f3d955d4,dd4b61e7,ca1f2e7d,92656772,2c08274d,cc98d60c,4ee0bea4),
+S(36466998,e5449878,7b27b47b,b8dd54b,617e9132,d6252fb0,1f760e7b,dd242979,7fc61d6d,deefb379,9fa87cf1,aa05da7a,84f750c,e7a37b9f,e30bc4a,4b350915),
+S(427338f3,644f6efd,e43b1069,b34517bf,af02bbe0,7638766,76c4cfff,65a01bfd,5d9113ee,13c7917e,ea760105,9476aee6,572f2322,5fcb9ecc,ce4a9cf5,bedefdc3),
+S(73afaa20,a2fe0855,c35f1025,aa78f181,fd57928,b3e63d23,8b125432,79327923,d82ab0fa,1f9f08ae,551ed521,b6687a50,b4b4b530,4d5128de,172c77d4,72acf933),
+S(dc9ee41b,d5ba5686,319ff6d7,62f1af02,4619b15b,c6dce9c7,3c5392f9,62ecf255,bd5653dd,11485718,68521a7f,68bdbc7a,5f58f46,3e81aad,ed200261,6e95cd33),
+S(c32592c1,4a401b52,867fb0f3,6de768ec,11cf13ac,d2eeb1c0,31cc83e0,a500cc21,d9e5f61e,b052b496,b8b59217,75d47cb9,d774c89c,76d76d33,e932c50f,ff156324),
+S(356db8da,9f3fe561,a9d21d23,5264fbce,bfc08242,e304e4a2,1b4dd044,7c4288cf,ca4cf6be,9c91b8f6,2d66b101,79246c20,6b99d5e,eec50a42,88d1b7b1,3bb00e3),
+S(3ec546f0,fb367683,c4d07c50,c58468df,1a36ba4d,887bd57b,f574cc8f,575f321c,ecd4a716,1c65ccd5,e767df14,53aca971,16376c5,861dbb30,33258bed,fad26f50),
+S(b2fa7570,216d4194,64306918,f80d6727,4dde9aee,7b801988,3e6807d0,78722255,919188ee,a4c77dfb,a460af47,72547de3,bf591a96,fae85fa1,696a3d1,dad8dd8f),
+S(593ecbac,a3f6e76a,bf97d83c,719922f8,3e17a2e3,a054eb40,e6cbf867,c4fc5d49,7d23ffa1,c168f083,3765170c,7ab2f66a,3d4f8c84,1b9f18fd,f3e92918,51421656),
+S(646075c4,181fadd7,937d0b14,75450f09,3f91e170,9644ff32,a71176ab,4b973839,5196abc7,e219433,bbc998d7,57b34f78,93fd3aab,c3be5c3d,20b352b8,5a6c157a),
+S(6518d32,d20f4490,a605e95f,2fe826e1,1f4d6295,21cee6b1,d4d505d0,50416849,38bb02b2,2d415ca2,3c95ab41,ee54c4e9,f383e5c2,1dba2dae,a2a24a81,599708ef),
+S(9c67d572,bbaa2341,9f704542,95a6160f,39b42ccf,eb46d56c,7781f3f5,69eb155,3fcad5b4,953f933e,3a7ec832,e799794b,38c99476,e85a6a8d,58a20c35,b9777602),
+S(3976b774,1e135f5f,2ea4a874,11f9138a,ab02aba9,b4c54a5,9ca2683e,262e09b2,fcd77da9,dd3ddca6,6993d5cf,f997be4b,147eacc1,2bd18c4,a1f18525,fc5fd5a0),
+S(508b5272,6918dcea,c92e43c7,b697f2b4,9cbd9d23,1057d116,2d34058,e08b06dd,79d3e174,2bdabd3a,1faf65ba,82477bbb,3631f08b,ab87dfe3,1fc76f2a,a4fa8ec3),
+S(bd5c99bf,44d5202f,3b1855df,7dfd11d8,71d7cee4,cfe38e6b,243591cc,ee69cc81,4b15cf0d,cfa1764e,365568b0,630423c0,2f81a041,2c2aec76,7c70d441,bf35a6fd),
+S(2011b669,509f7a9b,6987692f,f1ee2a86,1bc8a6c1,f1b2d252,4cf4052b,129e6683,902dfb06,4304a94b,9ae930cb,b2d28c3b,835d3852,93b170ac,b0a8fee7,4ad64a9a),
+S(24f22f32,25e5fd67,6ff10f6b,c9e7a829,322329c5,d716af48,ad95a32f,289cce7a,3c39cfac,e2a2eff6,1f034f4f,394ddcf3,31efd98e,3247b3e2,a60c462f,4846c4f7),
+S(a845991a,70b6c165,f465ec35,fa698977,ebd6a3de,490f7ec,6a3d82ff,72a8dc76,b8b71cbc,84975cf6,2000b12a,ad56029d,b58e828,f1e37578,73231c52,f03bd158),
+S(f75a1682,f24cd7c3,f654f9c8,38bf93b5,f5519a2a,39f7226d,3635f4eb,1e496577,be008fbd,d42449f6,8b571d29,48cda471,ee3a28a9,df4ed840,756d1840,4f917cd),
+S(d438d864,6173e175,9962a565,5dfc0545,3e7edf89,22f79aac,78806b51,697cee7d,bf0149a1,33476cf,b6ad8062,94a937d8,6a929ad9,f19a5929,fe648798,6e931ac3),
+S(42deb8a4,38b7d9cf,2216533a,22047aa8,3666c4dc,188c1517,b506c42d,add6a9c2,a2d98969,5875a67e,18deaf94,3a73d1cc,798fb025,46949078,ef2063e5,63362ba1),
+S(abc5db92,a7ec7944,f4a7c07d,edf53272,2c62e77f,30852f7c,47b34df8,41b1567c,d4917a0,b967ab9e,b05355d3,601e106c,c93d7094,e8e2d452,5731350b,11ee3c2e),
+S(203a579a,3298edee,6e5b8f,be8c3a53,825f798f,447fb5e6,c3d0a68b,69dc2600,6bad56e2,c4403cd0,423211fc,38810f40,31696852,af4eb6ae,939fce9a,a2253660),
+S(f69ee455,42cc8bd1,490ae8a9,efae8a94,5c5efbc,ba078b11,c79c73,492278f8,2f1ba10c,e93b9f58,a19baf63,46706a9c,78b70faf,dd55d998,c394a8d8,713654c6),
+S(838a8e3e,88527ba5,57c80ec,e8818ac5,5cd73ac4,aae26883,bd4b8048,f4fafb29,661859d,6d99d8e8,17bbf643,73726d45,1379744f,4bc93c7f,b228370e,b4d369ae),
+S(99d1e947,767fef9f,71ebef00,91d2b7a1,f23481c1,fa3f7d3,4883a18e,59f6f846,673dec94,4b3d82b,358cab99,2a434932,91bad282,e0c9c41e,6dcc4f7d,5737f696),
+S(390abce4,4a25d121,301d79a3,dd273897,29145890,c82c712d,760429d2,c7fedf32,e2e868b1,6bb5c3b0,f6305c4d,aa00a536,5e2aac02,71649fc8,b3e309d4,281db193),
+S(4e5e2983,59d53274,a2c5ea8e,ae4d9659,bf7b9919,454dfd3d,a86a3705,272e2004,db0b88e9,a3d30e62,696ceac8,1028dbba,144157f8,4073e422,24026681,a7184339),
+S(5bc3dcc2,1e1ecbfc,6a14e36e,ed26527b,6f44b03f,c16f146f,23c2d1c4,535c315,d16a5275,99e9b315,6235d74e,957daf90,1ec9f9c7,de9eb7a3,ef6f8138,1b5b29a),
+S(8ba374d2,f56e7da7,c6a7b17e,a4234abe,9f6da593,77b13a5a,3f1089d4,cab2f7fa,1e0479fd,8410af5f,3b0bfa63,612146cd,735cc6d3,3e72f982,2b18419c,939d9f5d),
+S(6c8747af,cfdedb6a,a45b90c,bad3b269,6bf15c16,202e36dc,5b0488cd,cf954983,75e49114,df83874e,f9ad28d8,3f3bef59,256503e8,f8ae22bb,f7f18f00,94b3b119),
+S(3892cbdd,7fb925b2,18e6bca,9c58426c,9a96eb2a,a5f3db54,fb861d0c,323049e5,817622b8,96e224c9,84d265ee,bfd2a996,f6444413,992fd2fa,de91ea39,aec39e4b),
+S(8f001a25,19acf72c,f9b3e528,7d060816,3f84b4b4,16d377f,9b70b417,859fb58c,b3c34e61,685378c6,b757b0fc,a961763b,af2e35f7,810ee236,f1d0d7df,92000cf4),
+S(4a8ab909,fed31731,50f16b44,785ecba0,af5ceed6,83e1a2b1,6be2a91d,643fa00a,ac88cd4e,26a8754f,d33646af,faff3f74,f04480d6,b988e24c,a5f6a979,25325b5d),
+S(49002f29,145514e,f9f81133,284752d6,ca973ef9,daaec307,6f279b3a,6ca9d1a7,3a73249b,318fcad0,65233591,2a07d90,39d1c05d,cd40865b,eb0d3fec,a2bc7c67),
+S(1ad5bdc0,2ef4ff42,6d0d079b,3d680e5e,65b0431c,b664eda1,9baec880,6604db88,cb55d682,1e63786a,e496f903,d8b4db91,c22e48e,893347d8,3110ed32,34869d92),
+S(316f40f,be3c495b,9256456,1daf8f94,3bc7533f,56d09351,4052be97,fc3f8c1d,eeff684a,8a37200e,ac0f16a6,90c1b69b,c52ef929,8bb1868a,2e9554b5,cd218461),
+S(e8408480,72d6ba93,3fec095a,6320008,f28a073d,73625de5,a4fc0f7a,c242f55b,6ba42703,5ac578f0,6ab1e6f3,2b760bf8,b91f89c2,d37faa1d,86fbfda3,e0cf8871),
+S(b3c81c6e,d24d910e,a9fded30,a61e2706,829f9e82,87a84755,bad14bf1,36eff3f2,57077559,8581b2e9,254a9c35,5aa6e25c,fe7ff2b2,7c1e0175,38161f6d,6e3da4e1),
+S(9b0cc368,c402b063,669e96fa,17dd0c17,bfa19114,966319f5,7b5ffa0f,5c0635fe,c5ecb380,a239b714,99cc147d,8087b453,b01d131c,d49f07e4,60278983,e975614d),
+S(bfddfb26,ac59c5f7,f6d9693f,c5498e49,cb1c2b46,452f926e,b120c79d,f49c52b1,8cc30f2c,4bb7897a,1bf13f71,b5618ffb,18adec2b,5710c0f8,d7e915c9,abc918cf),
+S(989861b4,ac8b6cbf,56d8442c,d753c833,1830ebb6,369ce4c8,95343abd,2e887fc6,f7a269e9,3ff86bf4,23265f28,d4a392ed,1c8e1383,5792d43,cf4de508,3dbec068),
+S(96a6e19d,336af93b,71093fe0,a63836f0,4286b43d,4abba61f,66aaa28b,1732b09,66df4497,c453f01,6425ec93,c6858ae5,300f3757,eabd41cb,da6a05ae,90f8f41e),
+S(cc2561c5,1261c57c,8ca2318c,5c5d095e,7de2294d,5776aa74,9870631,34eba9dd,a11a6b85,a79efa99,e72e14e5,c3348d3c,d27af941,305ca3c3,1c48a0d8,ee247cd),
+S(9f0b93b7,8666076c,c4f75d50,c67b6e44,96d23b30,b48154f4,f0b11307,fffa174d,256dd20a,f8c0fe19,8ca0cf98,befeb0ce,ca81fcb4,7fc0822c,76bc809c,13eb549d),
+S(a7e5f4ce,d6eb2995,a0c1fc5,5a644b16,2ba6ea53,20c7abac,dc36e6c5,15cbd06c,ba65401a,3e1b856,53d98ce2,3596842,287cf1c5,fd249ace,8dedb067,8553e1b3),
+S(c4949322,cadf34d,bd82a36e,331145b5,42fb3109,44dca7b0,e0beb9be,8131bf52,912f12e6,5f3fccf0,34e14147,556598a8,550fddbc,9c7f9844,637dfaa6,4d6dbf2d),
+S(68040ac4,351a1f3d,ec88abbe,bae3072f,bcfeb944,94ec6610,4793ae21,a8285212,9d5f59cb,316f3a53,3f7eac34,ffa386d1,c555d3a9,49eedf36,b7276e32,e7ac416e),
+S(f77daad7,5893592f,978438fe,578e5124,2f98d202,ad07f6f4,1dd4a238,8e3878af,d0f7fa3a,adee3b5b,27f95fb1,4d4e157d,b524c6f9,15c3f5b,7d57fb36,e82dc91e),
+S(371fd993,87312364,852234ca,6dcc7d2a,cd58f4b0,c73903f,ba08a0e6,2a81540a,365b2f9b,b4938fae,a9065bf8,5cd88a40,4ee3a651,a8b226fc,e760161e,734fa5e),
+S(eab4b429,32320270,ad6e3b6a,5784067b,6439d0fc,d5f0c0ea,579ae702,9d615d29,541f762c,6d825cc,66544ced,5965b077,943e270,ec7a7e20,b1401923,12aabdce),
+S(5d8d97a9,fc50bd4a,fd326a61,5492f596,e10a52dd,6dc836d,44128fee,a43f0371,1acaca55,f82d78f9,cb28bc7c,cd9c2409,20066526,3fcb4a3a,f375e44,59c68e10),
+S(d37ec7ae,89fd69e1,b9c64095,d5986a7e,b90f6f6a,9daa2638,6138a42d,357c9cc0,ddd875f9,6cf1e99d,fb4478b0,817899cf,1b6cb89f,87fdeb09,c72c539b,9c850e84),
+S(7db9b694,ed838749,d320effc,2ed0f86f,1fb0f7dc,e2ce09e0,a5024bb0,d039c6a0,4e74039b,b6018328,bd89a2b3,284ccb70,6d464ead,e9562946,5374744d,222dafcd),
+S(b02fdeff,df11614,63c01a8c,1a2c6def,41c5e64a,656e1daf,f8b73443,af060020,39666b4c,14e7c169,3ab2aea8,993f7dff,814df0e6,73c38448,caf88486,ab0307b0),
+S(c89a4af,f4141ec4,5a586aa7,53a2937c,e6ad3122,45256466,31336c3e,f401cf2f,b4b2066c,f0c9b0d2,d1cc0ca1,5dac6578,dc7cf9c1,4077dbe6,1a92263c,141e50bd),
+S(fd4a625,69fb8443,fe70739,f7c6f9,3794d7ab,5d25c0c2,c099b390,ba733601,741308ef,8600fe30,b912c49e,6b2cbc24,4b84bf30,52e690e7,2f478bd2,12b647d4),
+S(f5322b3f,786e45ac,6655c11b,ccda223e,d4689bbf,e5fc6253,e248be82,c0c2ca6a,69f2c31c,96afab78,86220dad,fb9a0c74,c3eb5463,93142221,50369064,1081bf22),
+S(f8daf170,7075b29,bdc36d65,a5ed4256,b21cee78,8dc4776a,e3a3c40a,19a2014,7b7fecc9,c302068f,80e73041,5eb31c25,4a38da9b,a72725df,898d4226,ad6585a0),
+S(6317fe9b,cdb3eb9e,b7379d82,54253a26,786febff,88b5549c,d4f4614d,40c174a6,8c52a679,a471672,d9e46d44,d69167a1,b962ccc5,38e1a42e,2bf5c731,f94f43a1),
+S(5446a1f5,5a7e226d,f1dd2c49,8d49e2cf,19ff8f0a,34c6bc3b,66fc19b,ec036064,826f2d2c,1c347caf,57c90c16,582ebf72,1d02a4ad,52b78254,2f97d10c,d9238e3d),
+S(4973367f,ba057d1,9fcda3b0,37d2e672,cc3cb6c3,f2ffd427,c99822c3,b42154dd,8e9b4d0d,9008ef0b,c82764f7,3cc7cac4,331b88b6,740b0590,30327699,82bb0364),
+S(3bac5c37,462fc0a6,11d3d47f,b4857256,f4180689,adb7c16f,885841c9,f56694a7,486dec34,2d7525e2,6766d0b7,fa0442ef,3defbb9c,41e4e6d6,5f458191,c5cb79c2),
+S(1f0d6603,c942f882,cc8c8f34,98bf9fb2,eefba019,9d95943a,2a209964,bf585b99,869162ab,b05b77d7,337ef0a6,2ff485eb,af6d8182,1e96078c,611ea8c8,338c26dd),
+S(2011eaf5,4d8d9b95,787ac7c7,9d8d733a,9846ef9d,ef227091,2f0d3177,599b7f60,d66ecd62,711364c6,c98c95ec,57dca58b,2f972e63,1a759133,c6cb206c,285d12c4),
+S(b016df8e,4c7671d3,44e6e84a,64ac5a0d,af2535f3,b614b132,7c9b2daf,724b2dfd,823ba8f2,ba237731,aead8dac,68f0843d,fed9c5ab,8393de12,b0615d5a,908d6d9f),
+S(bb9c3029,384c85b7,d9af0869,b5f039be,4a6e792d,1e863357,e1e95ba5,fab61bbf,79fa55bb,47b97456,f0d4d754,5c6a57c4,5824e868,7eae06fd,a07f227e,b49cf76c),
+S(e7cb468e,271042bb,3197a88c,bd4a4b53,5581c5bf,455e0ae0,f3f35a90,8311ec41,f0e67e9b,10717789,628cd4da,8eac012d,c7c58083,3ccb18ae,d39bdf1f,b61d0dbc),
+S(738b7b48,6ec3d4f2,4fb699e0,a6a9f947,1418eca2,5688da1c,722be81a,78ce60b3,d76aa53c,4129e5ba,88881647,a9e3320a,1751339a,3c10a8c0,b879bd32,e87f104c),
+S(31413f55,d4e5c14a,e091c228,74e971a6,1658b881,7dc983df,4ac98264,4b455e82,c86d2a0f,467f93af,b8ef127f,9c818700,cf54f240,e16dd738,c4e90899,d8a5af35),
+S(7ddae61,d231a764,794dd836,1779522c,2be61c66,e79f8a28,79914093,8a6e9e39,86aaced5,6ab82f10,5bbffa0c,e73781fe,5494c6b4,35309de1,441077cd,93d7a57b),
+S(fd5a44c3,ee4cc565,d2115a3c,16aed5fa,7b005fcd,fff3e537,3d90f226,398c9a04,1dd95003,722e3a31,991dfdd0,495160ff,ea55aab0,7109d060,d414229,c8f5be83),
+S(c3a768a3,fd24ac30,4cbbaba3,7cc52ab8,82e3256,b7d54d14,9628ca4a,a8687f43,2a0d6f89,9df7dff5,eacea751,a825ddbe,ecacdc69,5c071093,ad79583a,32de93c),
+S(ccca92e,d2ad3249,c5dc5881,8540e2e1,c89c6ac3,9a98401b,f719f008,e8fa5a3d,5fe2b717,302699d,fb7dba86,c368f67d,6a6f3593,d3845906,3621f73e,28dbd1fa),
+S(9e5fbca1,7c3a766c,eda0755e,84bc0f9c,1017335d,1ce0f70d,b8b09de1,568ef319,9f8e25d2,8a01b693,864dac0f,ac82453e,41305f50,3c5dae08,42ec41c1,5e7af238),
+S(43908294,409a955,9d02f8b5,4084b120,bb980c59,9c9003c6,4ba2760e,c69118ff,343d27f9,5120670b,ff8dc482,66646eea,6ea37813,3ec1fb06,ff5d9756,64327e38),
+S(30e3052f,3f97372f,56d505fc,6081ce75,662169a4,a4743cb8,de4e3288,32cf9c3a,d144aa9b,9cc60ab8,436afaee,a6e6b64a,bc0178af,b05c3db6,42c91254,8ecece83),
+S(b5b28b37,6e2d4586,c4c3a7c1,d701b28b,50da01ad,c18b91f7,a45daabd,134a1d69,ca0eb341,26746304,bccfae1a,4200420c,41af0558,596123a5,c7edbe9d,3fe04fb4),
+S(4eb1aab2,b71aec48,84d626d1,8ee1d90f,77feff11,cf3fb8c8,32ee501e,48c4ae8,1247cb08,580b0c96,ae5e72fc,f7066ca6,e46c5b3e,3b8091ec,8ae5bb30,e5a7cabd),
+S(b814e42b,abd14fe6,55cc4641,22d024d3,7cfa9f64,ab59cada,fcbcfc56,f1fa9201,ed8db1d6,2621bf32,23fb81ff,922a0e10,b4ab5cf3,3370aef3,df70ae19,6383b06d),
+S(e5ef7b0e,270a0c4a,3f4df516,b516a19a,cb45648a,424a4967,39b9b75e,ac4bc497,7cd38616,dce6fc2f,fbdac49b,59afde1f,397546e4,1fdd2c7d,b8e9efb2,6b1300ea),
+S(e0228a88,c62229bb,4fd0d563,5a66ef1b,e499265c,9163d09a,40170969,81f3c2f7,63ec23be,6c858aa,8390d038,665664b0,f085bbd3,d3fd6982,b2150d8,6695e0d5),
+S(3abf7af5,f504422e,686aaa6d,86f519a4,ec6d8ad,b1c7db9e,75091545,5885459e,95110201,2b8c0149,dffc0cfa,b1510529,9bfd537c,43c2a1e7,613c4007,7a8be9a7),
+S(16c5a86a,57dbdc0d,84320d49,610b637,437d8a27,5bc108a1,702bb27,dfc04e1a,f5387f3a,7596aff2,2a9ead9e,fd87da3c,68bf5efe,b277899c,7ef19394,cc698cb),
+S(8350a35,c1fc83f0,3c306984,799d6baa,3a41bed8,45cb2126,ad8025a5,6f1da1ea,3abd0a5c,83976b4d,79f150af,f47a684f,931090d5,61a61a50,a4ebfa7f,d74aa002),
+S(58199602,d1ba3202,bffd7311,8679e8ec,7d5dc6f7,f937eb4f,be70b8b,4379bce9,290dd5db,a4091af5,50975e3f,1f0d42e5,d375a26a,5c6768cf,7eade4c0,ed315166),
+S(492c0e3c,8442495d,52d4d356,91d03e3d,133d56fa,7371d64e,ccb384af,907fc5da,c7bbfe15,342b1d6,c48cfe7a,595bbab3,d7c4674f,ad9f92f0,30e2d602,4cd10ed8),
+S(adc96fa5,f21e4e6,5c5951d6,53379f3a,b2d92ded,ac038d70,ff1e644e,7c7d4de8,750faf48,16e45f4c,697a610c,11dc363d,4846564e,afef6e7a,335d5d,2af0e171),
+S(9567b748,4584b4ae,21e6a12f,cc8b5185,e2137c1f,5f30deac,eadd6b55,ecb64964,b9a445c9,3c4d8a7,fb0b4469,45976ee2,cd47ea88,ca3269e,b559e689,84b1a130),
+S(e700f079,11611a38,b0ce3273,b420135e,17ec189d,d1574695,d3452530,c8a59f99,e6685c21,6ed61c08,444b51ce,86681796,8814c1af,aa712a32,15e6619c,85bb0bc0),
+S(c412823e,31b1f066,9d067de0,d2e2ed09,bda7b53b,6482d8bd,7f352a4e,74e4cabc,8809a001,3f12ebaa,3b01df9d,355c199d,854574fa,374a85fd,6d066377,6957e9e7),
+S(50675ee9,1d350fc1,61e189e7,a4cf4955,d987c194,1b01ce9e,1473add2,ede4cde8,2f67926e,7c4baed0,e0a25df1,468c79e6,b07f8bd1,9d460a24,4233f988,45547047),
+S(34f8f31e,7a6d98d9,73eb395b,3368b0d3,c566cb2,c2a8379d,bec31c1c,859dbca2,db990a81,fe7a234a,e63b751f,369ef489,aa6929d8,97a3587e,483d19da,dd1b40e2),
+S(6bca946d,e15dbd77,9bed6b31,25986a06,50051c2,db72ebe4,81ed24b1,f9cb4d5b,ba942bdf,73219596,9fb8357a,4bbbdc33,c08f1c17,da37e409,50077c6,da41456),
+S(3972511a,f367daf8,192f2725,8597c14f,e151bb46,5b8c195e,610a11d6,e51451ae,36f1e442,82786dd2,8f05981d,292c2241,9844deed,5bed41ef,fb0aa2c1,d798541e),
+S(756e5104,3011d1c,e992ce99,76c09063,6560e9e3,a85de433,6d9218aa,11796c34,4d714894,96279d96,7ed41034,77fb1c87,db269661,8c452dd,ca0fda9b,e8c31951),
+S(e5508c1a,b9e90d6a,237e631e,507bdbdd,ed3672a8,38ee0f7c,72eb4587,b4231e4,24fcc0fd,f5079407,e3c66b02,9e2f37f3,bec5ba72,25487101,b7e68b08,731572e0),
+S(d90085d8,d80452b5,cb99dafc,8fa4aa3e,819c6ab9,a407beab,4bc6446,b5225596,e3cbc413,bf74b383,d2f8e92a,9d6062bf,a579fe37,e171734a,e50ac682,da75710c),
+S(46470f31,77b6ecd5,34add036,8cf9724e,398963e8,573d3d01,ce3f9d5e,b14f50cf,1a670f11,15b60d70,ac4c2b27,8f7a684a,73446d52,e3c2a8ef,7a84a06,8512f6e),
+S(4e92916a,a3787bda,7cc677cd,6f7d26cd,4a6847cb,23d1e3d,beb32de0,51fb89f9,6bdd060e,739e3122,a48e7657,e03ebf35,bc43f4e,3ad864cd,49242d29,fd3537a4),
+S(78fec768,fbf2658f,78f21a83,5f9e327a,67d4101b,5ca9fcf0,e69e7421,d69a3045,5de2a6ca,25adc6e6,82333b72,f30557e3,f2f003b8,1dc817e4,be0ea20f,acdb9f59),
+S(36327d81,a5a94289,105df5d5,7ed407e8,f14a741e,998f1017,3592811e,f052a126,3325ff53,33c1395,d2548216,4eb153e8,ed94a950,8376cdee,941e3417,f2f0ea46),
+S(2e3d6f12,18373ec6,6435d58,92b54576,545668bf,80fe51ed,eee5ca7b,7a5f8806,6f2afbd6,6465fce8,308eb046,1041a23e,f4515687,64f8148d,a377e329,4b6dbce8),
+S(96dfe31a,87620ab,647e0c2e,6e9bad96,4ac4ecce,28d299e7,e80f25af,da5885c8,9a1d9194,3507b674,fea7b185,21a2b70d,ac27b4ea,b370b9b3,a0c2ad0c,2bc37628),
+S(298711da,2e303ebe,2cc5928f,e437ce90,ba675b2b,b896ee44,920fe3cb,e34ec55,dbe55194,8671be1a,1af18584,5db9fdd4,c4a586e1,98a350e4,c1326d04,5aa3c593),
+S(cd603c3e,326a7c25,575b07cb,d86e0a9,d764675a,b3013622,12ffdf5,708ed855,f0d100ce,2690b76d,62858759,8638c992,4736b18,8beb66d1,328ff5b2,4a1fe52b),
+S(5a90312c,30a58754,cfc6d248,669d029a,7da84243,9de2b1dc,7731a460,b05b6e21,fc0af827,5890da91,ac2032ef,e82b418a,2ca1c37c,4a19ed0b,8cee0ffe,7386fb37),
+S(61ce7b79,1d46fea8,8f4dfb34,474577ad,8ecb02a,ab23153e,c0ece543,5c472e3a,4c5bebe3,2b82502c,8c68ecee,57f29fd,ee7f45dd,fe5bd985,2418c809,6ebabede),
+S(df3ffe23,d13b2b4f,4090daf5,a51f343d,17123083,edc4172c,368ca75a,8bfbb16b,9a21d41,39e53dc,836868cf,9c1d0eef,d4660455,7ffbd379,cb7a118e,36273f2),
+S(24470f10,b0e5171c,aeaab136,2ea9c1f2,3ff3a4d9,66a1b7c0,5110b734,43a363db,ce557547,69df589b,bd4438b0,14d4f4d,bfb56977,43656c25,83981c78,5803d5a7),
+S(67b07bd3,c96164c4,da09d5f0,be038a2e,74ade7dc,cda4e7aa,28699156,36708765,e0183e53,445a2936,a44df51e,c6d42bbf,21369b65,134accf,c0a6ca68,9adc03e),
+S(7e3c57f1,43f1157d,f06eb86c,e7a3d625,df513d2c,1187b1ef,2b4a8778,cb9b1192,81aa590e,90de3ee5,3b68d336,c6c77dcd,925742d5,642baf50,f41e6258,ebbdd5b2),
+S(784310f1,462cd93a,dae83002,7904934a,2a6682b5,6124c5da,ac037d87,61dab615,5365ac1c,d2f3bffb,f8454ba6,6743cb70,a08781b8,ce95efef,b2b7d60b,fbb7e2e1),
+S(ac75ac17,87006c3,e687effb,5822615f,c5608cf6,3ce43ea9,affc8d,e4a9167c,d75aedc7,42240a0a,79f79c91,93c9aee2,9bba3238,a5ac9154,d98d9664,27faa81),
+S(943e4dd2,ae1d3f5e,ba7448e8,15d44c3f,ed1b2333,46c6b1b4,b6ff8386,980c6fd3,d08dfc2d,29ebf8d,30fbcd9,e93e4d70,d42e6526,bc2e7842,ce3cebc1,f8105b58),
+S(4f750c16,909060e1,f7509604,9030e65,1e6a768e,a3601d3d,f2f0eef8,e18df94,e434f91a,cd77e31b,c9adb0ca,87860de7,6360c0b6,88accd44,715a114c,aac8eb7b),
+S(1a609a28,76eb1228,58678cd4,57c3b762,9f0208a3,ba653603,3f887a4f,7df50ee3,99dd674f,864e8662,3ae00cbd,2a484dde,29e9de3d,7ec83f92,ba60f93e,bf316b31),
+S(d2fbcb43,5c932861,2d3fcbce,f84ae490,3003b61f,c7927cb6,d7134196,f8858c76,55b6ca82,280880c8,3d66ea27,e8e24ca7,670bee29,1c4fdc11,56bf661c,2f2e0eaa),
+S(5c6e8973,c1c98cf6,71d5cef,4acc76b3,b4c5165d,ce162d04,543d4fc5,3d97cf62,9a3271f2,d829451c,8f32652e,c43b717e,a6008478,637b32c6,66a9a40e,2f157c2),
+S(be670a91,1930e634,a65aa675,56e342d9,15037a49,845d46d8,ac14a8b7,6024d8ab,4b4418a5,6583d2b5,6a58e324,a7b57eb7,b5111cbf,8c6a39a0,5b22d86e,b51e2dd0),
+S(afb47c08,42e4ec13,13fcc64d,98fe73b7,d6bc3a97,c2ac8823,45a82507,e3842e3a,3b448b26,f1e586bc,9425fb77,37a70de7,f559c1fc,97c9fce9,5da20bd3,945648a2),
+S(6de4f9b8,29fb7313,d27bc525,c5116408,d03f653d,56244f0b,bce94fc5,2de49039,653e08a0,26d7c2be,dd67b32d,5d031255,5c5e9c5d,b7aa632,c59f971a,85ea0458),
+S(91cb27e0,1e60b6b3,6bb7df48,2dd4542e,d36951d8,53971a85,127f414d,67ef279b,5db95774,f7b60f6,70ac3c7a,41bfce24,6aa8816e,4545040,df4bca6a,7173829e),
+S(a3e3386e,86c6d952,ad929b79,6cbcc967,2677138f,b051b3c0,53e2b4bd,2d6b7d0a,e7364d0c,b404b835,4f65c0f9,68ae823a,be5c6cdb,a02a72dc,b5ecf7d9,64eca22d),
+S(fbf251e5,6b61ed54,467aa548,cf4a4667,258f0334,f6064625,b00d546b,c61f8e10,1a1c0c11,14634786,e9101685,15c0ea29,bf2b2537,529912de,13ef3fbf,3b789722),
+S(e0bfa77c,21555000,4b38957e,a287519c,c222b0ef,81f71d76,9c3608aa,7ca6e7a8,fd778438,2ed98141,1254767,d770866,84c3eb94,1fd4a506,81cb05d,311cad5f),
+S(6d612d53,3d7cd076,d1494641,af14db85,7db44e5a,c22ff57a,13c198cd,b2cb50dd,62cee347,915640f6,73a23081,f5999fbd,5fccabe9,b84a0409,ee85160c,93fc6dca),
+S(393c515b,5d1f771a,e6134c4,c06cda2f,27b01b66,c3976ca6,9879de82,146e0dd5,147e097,83f65b3f,f5e29f6a,12df5fcb,2ae22d9,857f9653,67efc9cf,6210ec7b),
+S(bb340fb,c45c7b6,8d3b1863,9ab961d3,b455a803,c7ad6807,62077c08,6fe10bdf,cb210b7b,bd7edac4,fafecb0a,82efa8bc,3b6fbf63,711d24d,2b0969cb,f39ffe44),
+S(139ad93,4a0d12a2,83c50f54,99d5cbff,fa746252,6856a5bd,98bb59a,42f6512e,1c2582c6,b1da1d1c,4c8e85a1,77bc212c,ac448eac,564f0ea2,a23f721d,4c153ede),
+S(b49f8e1d,ca33f0fc,5713a853,bfdc8e16,edee6fe8,eed7e310,ae0e6d73,e4483c12,2d2d0750,bf422c6,e49b12c,407bb05d,203a44e9,92e0fe5d,af596676,7552bbaf),
+S(78099937,bdd416a4,8c9480d6,82a9741d,d57c89f6,a4ab2b8a,8890937e,b3f16713,b3981d6a,8b4f3045,e3d20e74,264b3d78,48b0f9ea,f8d0ebb0,2bc4a2a6,7da3a93c),
+S(64cd225e,a4604ff8,b61a8c71,c3f71d7a,62423add,5c851e89,b2430cf,f6300ee4,89f2cb3f,560f0a1,c5e26497,149ffc59,cf4ea956,f20f039e,f2578092,5c2b4a5e),
+S(70cd9c8b,7250da54,cc7ec051,43f087ec,c1642e69,b5b74d95,e728a0e2,27f6415c,57ac1d32,dbb0e87d,9a8ea661,87c4bf6f,bb4aa780,18f7611f,c94419e1,6829af3b),
+S(a20709e7,d075779e,baa742d7,1e224373,dc7f9692,f56fa9a0,e8d81847,28e23c5c,3f269cb3,28b57b3f,48db2e3d,aebea0fc,c1d456d5,a366052d,2dec91d3,5405a53c),
+S(fc3957cf,c85c590d,f2d6e797,c0aeffcd,452ed47b,57213830,20b3f3b1,56149203,65ef1279,884a1a2,bf632178,e23fd9ee,3128a268,bd75b70b,bc03a177,22daae7),
+S(e21c288,805a1fbe,8c0df51a,c5360c8f,69c0c10,624aa044,c071ad18,8dca17d4,9fd946d9,8cb67d2f,200fd03f,c3f4fd77,2ee3c24d,6bdc0d89,55e314c4,8151944a),
+S(3f6b8f7a,d68d5d6c,fec93aca,7c9716e5,9bbeeedc,dcf2dfc5,713046d1,1617e06f,97112f31,f5e31334,e258e311,bcee3160,3c75f8e,4a67f039,50dfb30,8eff1605),
+S(c630444d,7d6a8d6,f396b431,cbad44fa,88f034f0,aef8f6a,ec8e4921,a3373204,2d459073,ecfba3c0,f538dcbf,65a54822,b8d615ef,ced3a394,6d31821a,921cff7e),
+S(1b2bab7f,4e833c7e,432d81db,d7b34e2a,e62c3c43,ad1ba0b2,f3cd3d38,88d96f55,e2caec88,ec4d6660,81cd2bd4,fcad109c,fbdce4d2,c0a24aca,d665fb56,e4e143d6),
+S(b6a433b3,1f1a70a3,e53775,e5d173f,3d890bb5,b7ceeb9,a62369e2,94705711,95d10503,8959c755,95d8d76,c30861bb,acbda484,9a448481,6f4931cd,34e59d1),
+S(b12a9bd6,4b0f0cdf,9568e3bd,a6b7fc7,40f66c00,398ef73f,74dc968a,cce34b7e,ce8dbd0a,9ec6059d,b17f37a0,dd12b6df,6d809b9,47702dbb,a0e30f31,6b10a6f8),
+S(f16e345c,70a20726,616ab118,a5a5f252,b0e14377,79208dc3,194ec16,7e8f1922,62657132,12d111cf,bbe9af4b,be8071d4,55eae6a6,d3c5e153,4efda17f,5cd66f42),
+S(b4b85e71,f1ee5898,4c660f17,e48ea158,73963356,b8adcfaf,5257459b,77d02399,baf95723,70486c9,567d6258,ee4b403d,70966cbf,4ca6e0dd,b5f8772,1e053f45),
+S(b43dc473,1f85b542,4a8252d0,ef1e5681,720405fc,ae4e6406,7d721eca,552d4128,5f9ae2eb,f5f08f78,12181d44,6111ea2c,ab5c66ed,1cebb8c4,2c1e4a50,f3653d),
+S(3e657382,cbcbe472,cd8f7e2f,6ed72623,9fc1fde3,15633d5,b3219e70,cda875a7,ad430305,8aeb7ff8,9be1b737,260e1e7a,5d6e8a08,3ad7f5b2,2912b9d4,10ba267e),
+S(c30ed331,8f2a76bc,3bf292c9,fd98ba86,3039ec2a,b3acf028,174da3c6,dee3e3dc,54b642f9,3c5ca6fe,987cd9c5,4726d4c8,f59f464c,b847c319,df74ce4e,7da24376),
+S(8ca8ad3,7ac218da,1f2c33bf,73a681f0,1c3fc0a9,35bd7540,fbc3f2bf,82e0763,e48ac338,eef9096c,e3d0e679,249c9183,4d0cb3bc,b45fa70e,7aa8356c,8fd3fd53),
+S(a75b601a,aeb33b04,d3e201ea,bedbc5d3,35f516f6,3c34fe6d,e7d58a00,a6bcf3c7,b1b814e0,b143a048,75a4c5de,14a74d3a,ddcae6b,b220a806,1a980b18,4a3b49e6),
+S(e542c034,9fbd716,d92f0aa3,ab2c7be7,4e81d38,39bbf04c,38f9d933,33e2447d,93f4ddd2,af3134a0,89c3ccf9,34f61ae2,67530a42,12cdbd4,7641f7b4,c21e732b),
+S(460de699,4c3b21da,6cb661b2,3cea142f,cee1b50d,efaa3d72,3d55d54c,60bf9258,93de277,b9acd4a6,89bb02e2,b284cf78,4731e219,540c7131,e2636ae4,4183ba80),
+S(e5df9251,7e1611d8,5218f013,4f4bb212,9a0a2bb3,b65b2678,45c83bcd,60f29d05,758dda47,b25e31fb,56a8c18c,f91773b2,6bd26548,6925fc0f,a5e34787,a881f731),
+S(7bf153ea,7a8cfc9d,e7558c8d,5354f7c6,f8b41e14,7ba7a8ef,4296289c,f134e6a,94367f87,3ea37ec,cf3e1be0,6600f27e,5a4c32ac,1fc4959d,f5f9a6d5,c4e161),
+S(c9e8e330,8a57d46d,65a3ca70,86a0440b,1bc37ac8,8dae6d46,66c4497c,5867688c,c7f12a8,d727c5be,5d2dd18e,1a996ca6,b5477b78,a2b671a9,6fd6a391,95ca831e),
+S(dc45e141,d9f18643,db12b41e,facbb17d,6d30da7c,65ceed2f,c481df55,1b6fa25c,52d23e99,46eb60d7,acd8cd47,ce592359,9216c796,320c6657,cb4e411f,e175f104),
+S(f4b4ec85,6b55bb4a,aceee0f0,56cff661,eec827c8,8a452911,8bff2ace,3c0b4a81,18d14680,57ad90c7,161f7667,b512f34c,fce3bb84,c135c474,d67c4afe,49b589c2)},
+{S(e7ff8d5c,83bd5846,5c967b5,37ac0f36,b9ffe9d2,fc7531e,ef183cb1,7369c066,9a9c3c4b,e482031b,f6dc69fa,843ea90e,de165479,26ba201b,5f05b00a,dbcc30a8),
+S(ad51f3f2,e91d632,a13569d9,2e0bbb82,f566e7df,cc8d5541,54dffddc,2724c05b,1039c9fc,c61bb90f,7050e8ab,deecf700,80509a64,8fd2520f,9789501b,315da78b),
+S(2459de87,8ed4337c,fb77d945,4f6d2e15,7153048b,1ff76121,f5ea4fd5,cc77dec3,296ddfe4,ef31a5c9,65300ccd,6bdcf369,20e7b2c6,c1368f08,6e416a48,3d517fc6),
+S(959743b4,de6c9311,b95949e3,5f20f06d,6cbdf08,ad40b2a0,5239cb2d,4fe99ef6,1726fe6f,2e6815db,96242e97,ef5dc384,b8cd9ff6,67ae475e,a5417100,bc882cf7),
+S(fa08226c,62476f0b,88392127,219b071,6316d6e7,c21b3a44,4a07a2a0,cfad3bf7,f24e916,75b2860e,e6e6416f,d9e6b119,ee65e6dd,c27f02e4,3524509b,bf9beaee),
+S(da3f52f6,1102d1e9,3c213935,736e4cdf,72ad32a5,32db4f2c,3e388eac,e403b3ee,93c3a997,4d4c2f61,9338054c,15f681af,d8da7b13,cd89607e,dd5491e1,9d695416),
+S(893806c6,fc32e583,997b5859,870df579,dd750d08,49dce8a8,2cf47cb9,a92ded25,959c9301,c7982c96,4e4bd09b,abf38f44,bbb54529,82404e22,7b862e48,adfd6276),
+S(5cf0831e,319d8690,ee7f690c,c0b15734,9152c12c,acbd82b5,49c8eecd,b4f17043,2cf5c316,25fed805,97bed5db,4cdd3680,f97d389e,c83a5fc2,1766bd9a,6f95b607),
+S(7c0f67a2,ed9c4e10,7e06248d,51c79f70,7e62b409,afa37f0,2bac0b80,f2b04417,748bacd4,2401ffd,e374d639,86414233,c4b7eadd,5449bebb,9dab7248,c5dca538),
+S(1c2380e3,d084e808,751c4e06,d0d815ba,a333c94c,ba5f6de6,379dcc86,79f4cf6a,2d6480f4,d237bc92,d05e761b,4818051f,afecec25,9afe2cc,cd032537,f3b21e8a),
+S(411596,bca0efd6,f1262542,cddbbf3c,a90852af,80689683,47f9c0b8,919b0696,6774a5ed,2c06a3e5,d369fc8b,1c1ef075,bcd96b15,8f724e57,38ebf92d,7eb6a983),
+S(862e0b2c,19500fd8,8d00f2cb,14af4628,bdcefc88,ae87a663,c9e901ba,c2cfc537,6fd77f08,124c45c7,44ec81b,e420401c,399ee4ca,aa8779af,9f4a9b9b,5bfb3c66),
+S(fa787fe0,faa2a7fb,8dd1ec29,f81171c4,82e893bc,2aedf4fd,4a762bc6,dfc26752,428f4df5,8e057e0e,491fc4a,82cae796,1cad059c,9ef367ea,a15a4a24,42d91241),
+S(e15885a0,2af497df,34b4c324,d22c88dd,a3e34da2,74de0b12,c2c9ce12,d566d33c,3ec3b7c9,209357e6,1f360789,a37b4c78,910d2518,3d367ce,5af7075a,842a1e08),
+S(9c7f6bd2,8261d396,97365037,b57f2767,91ae02d3,4de1c089,646423e1,404fb32d,844efbb3,e720a3dc,a5431147,8d0aba48,221d48ce,8a05a385,9505f4a,458f7fb7),
+S(b99277ec,fc7ced54,58300c7,783d1d43,67d40dfe,48cc1743,e99540,b46eed6e,91832791,f0aab15d,a293a4e,c107bf69,64895eae,ef0b7b4a,4db1de1c,f8f7bb97),
+S(ea5c5c32,6b221ebd,47bf8838,91a0ab8a,abcbc30e,982a5add,5f7517bd,58f68927,9258ed81,2f732f1a,43aa6b76,f9982d24,8be669e9,42cc5f92,90925d07,b96c651f),
+S(c8e45dd0,37f1538a,ddfb79e3,5eaf2d1,f5c43535,50857741,481b8bc3,b00270c4,46183384,f3460d3,702632c9,bc340b42,2baeabeb,624d2aa8,1275ced,e2d04df4),
+S(2785615e,b34e2395,5fef2170,18ce8e9b,8520ff6c,7f0b0654,40e2e44a,99b633aa,5f4d2fe3,8f56db89,5052ccad,b7e2229,5295ce9c,9028f37f,709cc9ca,6b86368c),
+S(bdba87f2,7b750cab,87e4f36b,f2a4ca30,49c5af49,d11d9562,fd67ee3,5215c2aa,507a9b83,dd4a40a2,3aa5970,673f89e4,3dc6c387,28b3db8a,78ee2c9b,40a2b99f),
+S(bb358e33,a07a280b,b87b703,6df7d832,6e531a38,c1ff6f48,5c955057,e97a2524,d62efa5a,435d192d,c40c39a7,2c654e34,a6d8837e,b33a602a,1097f1ed,40f1dabb),
+S(bc59cb40,190d6454,c356e22a,af552e02,a6f7f671,8e56ab94,10ed6e51,539ce74e,3a3b07b7,2404e40c,96c561f3,ce227241,e7035c13,29c7e566,8cb92126,c6543af2),
+S(19654121,d2e13ac4,dc087c0c,373c8e98,e4447c5f,83c976ef,2358cac0,d7b726aa,9832eba,58a67ec7,4d993935,b2451ff,3118c1f8,bf4f2d98,5ac9b2b4,dc4347d9),
+S(2f222e27,6c7059bd,88d87b7,a7268fce,c7250741,1cbf52ac,7ac1ef04,dcfdc769,5d7695a4,37686bc4,df42d1a7,43a7c025,820fde6a,1fbdf17e,846115b0,3e64ddc2),
+S(9a34f22d,628e0863,52860024,7b4e3b76,60d2c88e,e663a6ad,57f673c8,238a7e6a,86c1a12,29bb251,c6e87b37,d135cd90,e2a7d01a,4a067f67,6d8895f7,57085b46),
+S(e526e57e,73b17b34,8288e79e,4f26f864,95beed8b,f9476dbb,26cda51e,b4cec5d7,5b7d63de,97200b0e,e76b2bf4,82e01ed0,19324e63,16e5142a,8058128b,6409e8e9),
+S(7a28a623,cedd623f,37b33b39,149858f6,ff7adb4f,f06b1661,3dd23da9,2b68626c,41144248,b2f62a79,e9019071,aacbf63b,b8ba1238,a6738d90,ac6429d2,d7a485b0),
+S(cd3a96eb,8c378c46,de954c9d,8252dbaf,1db12f7a,88a55190,87d046cf,58df5665,9649b78b,22c76b71,919b8a2c,7a0d6a4a,5be2f0be,4f1b8a2b,ca2e898,15dcda74),
+S(44201d8c,23ae0de7,6e9ca9ed,e0a052e4,753a4a12,87129b55,f33ab4ba,5bf095e4,730f8bf5,53e528e1,ab26d7df,a5767a04,b3fd8653,7769cd0b,8d1b5f49,bd95692b),
+S(1d5fd8ff,14da9436,118e41a2,55df6bc,52a69e6a,755d7e70,a48ffd3d,ebc4c88c,a53b538,a3c553fb,4bec6c1d,259fc11c,4259126f,12a61f5e,1c4bdfb0,de34b167),
+S(9f96c868,f95bbd10,486cf72c,a1bd1cb5,e45768a5,8a5142d1,61e03b78,8f1c92f5,7a9f8938,fd39796b,6eec3f74,a970b183,dea912cd,cce14843,86ba0ae5,e6b2e785),
+S(671e2f85,60f16300,f60173e,18ff716a,9028b22e,8937c118,c21fbf11,f54b1e15,58310025,7287d122,2a866a6d,8e85a041,72531a92,7d727e8d,77c33049,32f50d22),
+S(59215ba3,afb0aca9,1f61f7de,d69ac95c,3b0a6ab3,cc5fd312,2d23b287,7d645805,433b9b65,197f8360,d222580d,832c2cea,dedbc92,610b8c0,4e0ed5b9,45b52583),
+S(ce3be955,ebf0a088,57bc0859,55898466,8b428982,ef1061ca,a564c48,9fa8b57b,81ce7ad6,224e95e4,d7449cd7,41628408,48249b,d2e5d0b6,6757cb73,7622def3),
+S(5f6145e8,1cb8ca27,a9d1fd53,9058f5f1,cc423d07,a23f79e3,d1256541,689cfd5a,f129799e,6a9044a4,784ced66,40285789,c8b71aa2,2fb9a2e2,92a73f0,b7686ee2),
+S(ae14d7e5,ce5ff7cf,a419effa,9272aef2,7e0ad99f,1b440679,9d362033,2640672e,5f8670c,cdc2b366,90d07259,9fb1e560,5e71e079,2bf6a2a0,928a8438,1c42beac),
+S(61837dd8,7d096602,62119a7,f102eaf9,d01edcd,8c6a9335,488b5c80,535573d0,dbd49194,1eeecad9,3bb5688d,6bff2bd9,fb4573ce,b21dfa1,2766de1e,1b63c8c2),
+S(3ef98234,eb70107a,f69be2f6,b3f935f5,f1bec759,2b66262,f048c8a0,8252ee83,451acc9e,7c4c21,346e9ee3,dcfe4a77,d35bf00b,d0f2e3c5,42591441,c90b5354),
+S(b1e94abb,912be054,1c38bd4a,a954ccba,f92b41d0,82a74ca8,59ccbc21,755d00be,e8d76ab,ec5aa0f2,49b33481,ac6abb04,700edc61,da8627a1,26812abb,ae5f67e7),
+S(a0cdddf5,ac430d5b,f5fd1755,6025d4ed,4f9a0471,83749ea6,232a8061,f27672fe,3c50bac3,f0c01cc9,5c10cc51,b14ef6d9,fed1a7dd,b6d07721,947cb606,8ac81cc0),
+S(c0650540,c32945b0,8e42c487,50f2dcde,8c35dadd,2069dbc4,28c8a318,48c0b841,660e38c9,eeb11cb3,aa2b61ef,d7ab4796,85161be4,f4b1547,e701fdd1,bb3dfaef),
+S(fc2efae0,77ef8607,286aa5b2,5b114f1,fdd82e6,ef425b23,5170fdec,5d95ffc1,f96a8710,7fa5aa8f,6fc0cce,9885840f,737e1b12,4d6d35ff,e1dccab2,4a863901),
+S(d420dc89,758a24be,dabeda8a,27651138,2eacc153,3395db23,71ca98a1,8fd72f57,83f34a52,7245d018,d2d599c1,299845b4,42a06b9,c93142f4,74935632,9052fae),
+S(af32c241,a6c86715,471e3ba1,4bcfb60d,c9c33ae8,84ec4403,97b35281,b36ee336,9fe0c80a,1962f8e5,5c2060f2,eb24a7db,1187037c,662cf832,18e0381f,4f92083b),
+S(cc44e6b3,c7d4dd22,b4e24310,ba7fd59b,efcb05d7,1411781c,979aea2f,635c62ab,cb05b4de,c8ce6dfa,2f229629,48edb6e4,ec0f2a8,aa53932f,94cda08f,b81e3da3),
+S(a7d3a168,b175a11b,ca46067e,c603ccbc,1d7cf852,edefe1ba,ae633a38,318bd97d,361fb00f,5344bc31,450732cf,30b8d728,2aa100c8,4c52b160,9b0dd3f7,66405a2e),
+S(41ce228f,e6911ef6,5b93a0d,39d4c4ab,1b4f9ea8,9f34f190,56b6edc4,90834b65,85f7677b,61323fdd,7c0b21d8,572c7029,4118fab8,d432d330,dbaa24df,bf506964),
+S(a3532f8b,1137f907,19baa4ae,b0f6f909,412eea8d,290385dc,9c0465e8,a3f9f900,94848f20,d1f41d8a,c433f01c,74a0f120,15f2423,23780597,6c6ddf2b,a369186c),
+S(d51d0609,2a9316b1,495c380f,78cf6b0f,53f11fe3,b89399ab,6120d494,b18ec5c7,8efa991d,4a35009e,1b0f7adf,72207c6e,a1ac67a1,6fc009cf,fb25f63d,7706efb4),
+S(2155010e,7820453a,4e18b616,6439995c,35e9f1fe,bd4b8c98,31c2f062,ad5db9c3,d951af7,792f7575,a0209ed7,3558efc,8858aaf3,a7dbdd05,1701538c,e0abd925),
+S(b02e9c81,6370cd9c,a78da82d,927e1d43,ff27a07b,a8a3e773,a66fa344,331d1d1e,e184e2ed,276eaa1b,40cd9696,a98c41e8,7eb2f0f7,fa3039ad,9a18bfab,48141331),
+S(d79e98f7,724ff7c7,13510c81,a00a6056,b769dc28,25ddb5b6,6e21540f,a0b9df8,dae7bca1,8896e67c,9f8855d8,4b2dc1f3,97e47230,d4915e99,33897687,c1e7ab0f),
+S(1754242e,1719e21e,5dc63a64,5759d3aa,5003d20b,db8a2ca4,a5375e78,308c4423,7373ae8c,97c5def2,fa602af3,3491f50,b26a986d,b1255f63,9b3e1f26,3ad0d856),
+S(a7b70ad8,4807a34c,45adf85d,93afb7a9,30ad1b1d,25d58847,c278957,bd96d64e,9cc8d7ca,d66f00c3,5e0c9476,ceb4f915,76cbf1d,2ff34b80,aa913e5,758bccc7),
+S(a4e7077a,8be0e97,d322f62f,74fb5112,c885975b,4e5d106d,1df93a05,10382a76,52580b99,2959cfac,bb27800c,37e0605,7a26bd85,c97154d7,c51b5b01,f0496749),
+S(14371fca,1e37adf9,3593be37,2e634fd2,69d004ea,50d2f412,77e0b74c,d82491a6,5130d626,4d570bf0,a9a1511,af29105,eb1937db,fae1f027,45a2e725,bd63589c),
+S(3a23c190,995df13b,12556cd,90c4c05d,5bfd4154,8016d31d,85ea4506,356ca3bc,b32f623f,a95922c1,9579f532,9fe6d0df,b3b3c63a,adf1f56e,30b946d0,e6be0352),
+S(643cf33a,9530502a,65e26491,b895ea3a,27be865a,231dc0cf,b42249b8,b8eade6d,58321730,ca9a20df,ea6be90c,a7f056b1,ec3da1d1,e2befd74,5a39a46e,24257f04),
+S(35fba1a3,f33025ca,96401513,b443d042,c5036ca4,3221b0a4,ef5fe943,34c1a27f,5f5a4c87,a7499afc,4de8a475,8651e50b,d97c292,f5c4fb16,6114e871,d0d651aa),
+S(fc62b528,b601895f,93e27224,843b4d29,9d542c5,2235430d,c3e85c1c,4a0685a8,c5ed07b5,4b4f18e9,26be84fa,9d1653a2,716c8e8d,3a0343d2,e6b78e92,53a411c7),
+S(2b15210f,b126f37c,6bc76ddb,db6d24b9,dc39d531,8527a917,ed1553cc,524ea86c,deb7b72b,256402c4,24ae46e0,f2e4e09c,12471358,3b73f41,79fa737b,3f53facb),
+S(1e011ea,5ad8f791,e430b18b,d302d3ab,b229f715,a68f3d49,c1c2f3b6,285fb369,b9dd2a2a,25937c98,6905428e,73d811c0,8e1d5729,bd6bfd8b,50eb91e8,4ebfb1a4),
+S(9bbdefcf,cb0c9e8d,747180aa,6aa72af,917fbd5e,ee2e6dfc,f05bd301,56496e4,6824df9b,a8ce39dc,e7da66d1,a430be26,9faaa54,a83f5441,2d5ac6d5,761bc83b),
+S(691a5651,e5773488,24a36cd3,755c20dd,289a17a5,953608d9,905976c5,4136d4d9,c03caa0c,a1bc376,b736d2b8,812966f,6f1b955c,1e68a8b1,a12120ba,ec4f12ab),
+S(f68ec286,730a42b0,4ef5c596,b0235e5b,50eea2a3,94ae6f9f,a91086da,47acb9e2,5ef0b31e,86dd166b,f447b7f7,2b82ceb9,668f2a90,88a190a1,6bd5a230,8699a54f),
+S(33685765,121d623,9f73b969,efe2ccb8,ad715377,c7f110d1,579fbcca,5b005ccf,cf71270c,c3c8d129,8d6f060a,f6cb343b,b7c807e6,580779bd,1df6d7b2,e90d80ac),
+S(18c1347a,cd1a2eeb,7f42bb9c,de08e166,63676348,fdd4c533,d3f51064,b940dc16,a9ccae7b,d22c73ef,eca3a4dc,a56c3cbf,eb3f8177,d9e5cae4,48568a5a,2d83a31f),
+S(9235cbd2,37fd6ddd,d596bab0,e2cd4d29,98a28d5c,b3b738cd,6f79fa76,83570357,60bb571,7ee5c69d,7ed19477,94b8d2aa,7901b993,89496993,1e3480f6,89d37742),
+S(8d6f63e6,8b7e79c7,1d62bb8e,8e1f3ec,8c5dfe93,21f5ff57,c930ca6,f9d255e0,a1eeab9e,f6bc9a38,45836630,4a1021d,ab2d4f66,4c5cc6d2,c50be827,7fe61915),
+S(e34a6e35,8163ec00,f6abbeb5,14b5453,9c7ea2c,8afac9b6,81402ea8,de5947f0,375f0fc0,882bd435,1f294812,b0fdcf5b,8f36b772,5bd93994,343d1bab,a3db8b33),
+S(7c92a80e,483c9c33,bb18163c,7b4e7710,96e77f5,c182e4ff,95e8737c,9294b2b5,f9775ba5,6779dec8,dd5448ca,ba1bf760,5c531e2b,f71ffe22,2b8c2b60,93cbe3fa),
+S(15d91f0f,49153ad9,3fa9bd53,71f98b4d,84d0bc8c,13310859,547a510b,94ed08fa,c0b61781,ce3b4f30,89e99387,e084827e,b148be8a,cfaf6a8f,1251a5a8,ada84194),
+S(68f00c8d,4741c078,f99595c8,230bf510,bcb84a12,9149ba8a,5b495d0b,d3307226,49004e85,f9eb6650,83b1ed05,12199ba4,2da74f30,a70898cb,2ed05253,fc5a809f),
+S(c2cf12ad,851d4a49,56a2f861,2cde0fb7,caf83f2c,41af4d98,b74f039f,b2a95bc8,f4643722,186a375b,be0e17af,9832042d,62132982,ef33a626,b6a02f84,f086b59f),
+S(8d378751,b5f13626,2fb3eae8,5491a3a0,b3af4b01,f759f06d,4b418116,c3ba30a1,5a47d6f8,878671da,104fb6ab,7101efa1,718414cf,2017221e,8cb171bc,a13d4d),
+S(cd4e82f,2592b5af,1cdbb44b,3dbcd3ac,76d0ad92,fca50789,f1152722,1eb4f3ae,734884e2,6d207cff,a145ffda,2f3304ca,3697958b,b1f5ad2c,9cc2c812,99128107),
+S(b9983c8b,61629cea,2f44717b,3139b3c8,ad1dbbac,24f8ffc1,db9078b,92e8f8b8,1e0b83c4,349dbfd7,16dcc892,115e93af,2cc1176b,7d386686,dfa7a2c9,a56810a8),
+S(1d2d687b,ddc2f510,f0a721c7,4ff6d8c0,ac157929,189dcdd6,2c508577,aabbb982,4c3427ad,4dde568d,5ed5555d,5de4cdc7,fcb6b071,afd342ea,7fb3966a,872d2d5c),
+S(9073d8ee,47e31106,718dcc5d,e0e46e0c,bdc8e822,66bc8fb5,b23bcf80,ccf240a3,6a2a92f7,bbefae74,1472e3e5,6702ab5d,a6d20993,1cd7daa9,1a3d985f,5aea46c3),
+S(25d31f95,1416d832,59f433aa,89e4df66,49d18a11,1395d676,b44759ee,46931139,40aa1c2,9a4ea4da,d24a915a,7d476769,3a1881f0,d70499ac,f4f78f89,91cf3b8a),
+S(d04504f8,9b93075f,822de8d2,27dd8617,f6ae2fe8,10ac8fbf,97c7d788,bd459cab,7c4d4ae6,56d118b2,17abb932,d6283480,5be6a4ab,cb98ceac,8a85085,8f0e2d92),
+S(a4afa77,7e76e1d1,64901460,bf63e3ad,c84fa1e5,7ee4cc17,d8a083e4,2e587f1f,f56ac642,f7bc019c,61dea3ea,6891c962,71147228,33d8055c,954b45fb,934325e2),
+S(59eb6b42,7e586eee,677ce715,c06ffd16,35ecc418,caf8b707,5e2c9192,f838e4c,cf25adbe,5d0d1c37,1ab4778d,ddb1333e,6b02b377,8c73302a,43262b5a,312e8415),
+S(6fbde8a2,a9495849,c0e94866,e3cc7b7d,891738a8,7bfa388a,cda84358,6190ba65,e988c40e,b2cfd713,597290f1,7c37d165,df711c9a,f2ce6989,52204cd7,4b8cce9c),
+S(186a8e0a,c9a61bc1,ffd397a7,62f153c4,fd14c2d,78a03e03,8fe826f5,eb5d16b9,d1ccfb7e,fdfa1486,8d35048e,99050caf,73bb0236,ffd33bd3,bcb431c1,868e5e53),
+S(3224499b,b9712ed6,b1dc5157,6ceb2d77,356dde1a,263c370d,9a71582f,c4e93ed0,5364c748,54f5e7c4,950f5aeb,d3a56626,7da78898,e3a37af7,a2c5a528,23cdfdd8),
+S(b2de,174a7592,ce9b287f,82bb4f60,3a4aa039,4bb308f3,4d282a0f,8e8a1105,a9fa1bcf,424a0d14,5e86c4ed,be0d5a31,dd85772,cecd7fdc,ba1e4b02,b47109e0),
+S(19d45a35,f42efc85,283240b6,8f69626e,92cba511,5d265093,b33b71bf,36601850,757b26d7,65853163,fd4818e6,91154aab,c81448ea,19277b70,da37e910,e2bdb66b),
+S(9e23f113,8a337fbd,42335454,6e2e3503,3c888aff,f61b4143,3673395e,bfca6285,80ef2fd4,bfdfde72,ab5c2ed3,6e8eca00,54d01eb6,a93542d0,6a562d6b,3342f051),
+S(6b494c5a,79789306,9e236dd4,33a15381,f7ba8b42,3502efc1,896ff5c0,16871c28,56ca6202,a860a1c,25898600,eb2f2fc,f5636c0,bb2ba0db,f32cb433,b590812d),
+S(b3e4116b,3d05150c,af5821f5,6c33b111,c28a3f18,8c8cf2b5,e5a5f271,115839ec,3bc7caa8,11f4b7f0,c30b0bac,51852c16,2e256b93,dff1d54c,4504fa1,eef9f5e4),
+S(9f67548,4e8ce41b,e65902d1,ef56e8e8,46193052,3fcf48d8,e1f49fd0,9d9cfe91,3d8dda39,bb6e6c78,1c0861d7,73461dfa,7c19e10f,dd20f37e,a6d3f152,b1bd1d98),
+S(47aa3648,91f116b7,e4115bc7,7419efb,9a267adc,4bcff4cb,1ab58c75,5eca5e5d,1f9ec89b,b253b6d2,997abf0a,46d4a3d,de45d605,a94f4ea,a4ac136d,b57eff2b),
+S(b8ec4a26,53d82b24,da269a85,f51fe333,d6f6e9ec,94dd4bd8,3a90b68e,1742baa1,d4564479,b9c3ce14,882fd697,1db7d242,c91a4b8a,da63dd6,41c17bd6,77dda872),
+S(ad2d7fd4,dc176f04,2c8a78a2,7eea73ea,7fcd0b16,29bbe1fe,f9eb9589,9173af0f,b4014396,2f84f00e,6210258e,ca6120ff,987601dd,80df3501,af664ea2,3f6e63f3),
+S(aa9676f9,85435e57,4db82def,70905ed8,a8cc4495,539a8ab7,42f9b934,e6f1eab2,60b257d,83b39810,b6220fb4,95e61578,f264e817,71dfe6f3,7ce8363c,dbf8ea1),
+S(12c23100,2fd6b31e,30929a8,e8d6b02a,593a89d0,b3f20a54,2012ce0e,d74738e,bf8e1682,8b06c853,f061462e,b5f90191,e1af5a66,1d4b01d3,a7be42c9,7f2a3ac),
+S(5d1f0df0,d561494a,5e8b9566,a297c018,9562b441,ee91ed93,a43a4141,b7383c13,88a65ea,c63e0dae,244e3e7b,b7fedd20,6fc32f47,35891902,c0dbdece,5e304ec1),
+S(ea92ae52,1b21942,78ca6b4f,770c56a9,59403652,39533c74,b0b99ea0,1e32791f,22358430,bf3e4aac,e7c6ae80,7c315bdb,7b7b94eb,4c17442b,bcbae6,b311562),
+S(961abd49,90513726,15d8414b,d68edb80,9c698317,c3317d94,d064e272,f2e7c328,b581fb5,949a2345,f561fcb3,21dfcaac,9c235e70,f144079c,3304d48d,d20583f8),
+S(41e8edf9,b2b5e7c8,86a9c82e,2780da4e,cc551d3,5f186c0a,caf456bd,fa08d7ff,8afe0efa,fb1b41ef,189ea40c,2f7c1df,f76f740,b2b4d30e,b0afb19e,92cfe615),
+S(18cd2b39,1cc5a7c5,8fc7855c,51e9a737,f5bce753,bf7f35b5,3b7ac1dc,b9138f28,86493807,f42083b5,1ce4114a,d159098b,ccd4b6e8,3bbbfd0a,bbfeeb46,6f065ed),
+S(2369e0f5,5cfa67c7,788b1d97,a7aed58d,ef0a3727,10a82e8,a459e55c,8cb998df,b3b5c65d,399bcca0,71829793,55d59d4a,f8dbaf89,8c10aecd,d35330fa,dd2011d5),
+S(722b21ec,9e6436ba,c87ed647,2d28c33d,e4e4c792,de5e9b0d,85581f19,32f91f9f,5d757d,d475ab0d,390861e0,fb204ac5,dbaaeb48,d2a48014,d3a03ded,3293c497),
+S(3b6661c7,33773220,40a45f9,527f1e6b,b3657e8f,de4d5beb,b4213f6c,130933ad,d480a018,3f031d7b,c4ec6965,5b0d3ce8,bc0f5ff7,5694977d,d2810188,f739f8f0),
+S(2baa92ab,fd1b3a06,7bc34db6,d3a1b82e,afa2eecf,f82cdfd3,a2bd2da8,d5072ad9,4583b0a7,e1c0b53,c165b5e5,cd4e41f0,27179f60,328fe313,4b0c5d5b,9b32b3d6),
+S(2fd0279e,bb08f28,5e4e385,6ab7bca8,dac262e9,968c2341,9049611b,6db8374,e377f24,92d0bf24,89a8094,5516f528,4871dda3,26e6d3cb,a81c55ca,41d62d5f),
+S(911e62fc,dfbb1636,bf80d445,d711e328,4ea6c362,629e2aa9,f8f48a4c,8a0bdc32,2339b90a,a771f035,4bcf1f38,d7dbd8d7,643f260f,65f4fa2a,bec27e3e,ce6f8471),
+S(5ecf9075,7d277b40,fe4ef091,a525cafa,fcabb2d8,da8b7670,d3d25680,b1c425c6,9690ebc2,1de37095,9abdb2e0,37b3b34b,db367933,888d9db3,e903f8ff,c5b85d7c),
+S(270a9301,2167aa21,5c5da736,fe3e32d7,efa97b65,f7c89a7c,62a6ed28,e3038e3e,445f24c3,8998530d,39964c6b,d51d75df,fbe176f8,91b606ba,d4557cfa,a71d9f9e),
+S(bc9e7f14,8244cfe8,b408be81,b79d904e,bcec0cb3,f4e540fc,f6f469d7,f73151f2,5dbda6e3,49377393,c6d90189,26bef6c4,59fd597,c50848eb,1808cf31,13b7e704),
+S(163e1b86,bf0ecf2c,61a630d9,428f2fbb,7772032f,df990bf,1e276e98,a84ba2d9,3c25bb36,4f1d6a0c,c70cfb84,70604f61,4bad22fd,bf305058,667dd0,5934711c),
+S(1706ad54,9dc1b0f9,bd1e5fd2,729802a9,8e6f6d96,24694b2e,3d37615d,b5565999,b16c7d90,403b6d24,65ee6526,54ab19b2,5c43cfef,fb6b33fe,12c56912,5618df71),
+S(7e66578a,356ac4c9,636e0369,a7b1368c,cbe06189,602aa938,95a48826,a5c4d2c5,77e51712,195393c8,f95d032f,2bf1d39e,60b805b9,f5aedc31,a511f1a9,ffd976d7),
+S(ddae1e49,1e8b0572,95884c3b,ef5ffbaa,dc6a7ecb,d8849521,177f7d81,868caca2,be7719ae,508d035d,88cbc2d8,3ea232da,657c78ea,401bcb05,9382c39e,959d5251),
+S(5b44e6c3,a382e500,2a53ba57,fd6e92ed,8296341a,2e81095e,8ca22a18,fa76b450,443bf958,ffd1fa9a,1bc8ee27,ef49e457,cb23e6bd,dc6d251e,8e28130e,e6ce6892),
+S(33d32ee9,f66d00bd,85d7e24d,7fa3172,8352668d,56be6f1f,71cead36,b1035f4,d3372856,106025f7,aac97103,4efc5c51,4c6128bd,6737fe,325ff277,f25fdcbb),
+S(7bbc0b90,9491363a,cfa10e65,84d693f3,8b2a2164,1d2d886a,3c348c86,d7f98e11,ccfdd17d,532ecbe7,c654ec54,65928836,1dd2ee63,136d36aa,415fad03,f94facea),
+S(a3da83e8,db0f8d0c,ad680373,f92426,26aea70a,c68c641d,648b2d94,244d68eb,305b0d91,6337a600,4f17626c,835a1cb4,c5d97f35,f75e7e44,ae3ea4ae,10d5b40f),
+S(f5155f1a,2b196a3f,aa07d4ff,5fb91890,d37196af,1354d1b9,88ea4412,c57e9244,d060c7fa,f1666aae,f38d5256,b20893b4,961c3b4d,40fa9739,7a52cd00,4a2af8f7),
+S(c948aa6c,ee9b8481,fed5b207,5100f0df,db799e6d,76d1af83,6d198f84,d6a028bb,6943ef15,988941,3b274855,1e0245c9,52172cce,8eb29444,e7728c20,a8da32d2),
+S(518ae279,d1dbc26d,3b940b7c,f7c98eec,bc7660d5,af24dc72,ab8e6b0d,329b0d32,c8bf4d50,74471ad6,2f4ad9f,df065490,c81c1ce4,6a8b8847,b1e1b826,99b5ebee),
+S(82fd524f,467bd6f8,bf84b427,d81b643f,ad38940f,ffaa2da1,f659dc6e,263ffb9d,2ccd7ea0,ffe0dea7,f591df01,5d1ae314,71f2cc9a,67c610ab,5bfe8f46,57a0647d),
+S(250edb5a,1b6e4778,4dbf0bc1,510f9716,f5682aab,b975826d,2f715427,8d56cb5a,a625aed6,663ac946,ee805c8,11328923,9aae6503,1efab534,e152ded,e4d1f138),
+S(d13596ab,e37d242e,ec6a50ad,95a171b9,c0cad0d1,5e6cf674,35cc87d5,1be1a6a9,fbbc5a7b,b3592ca4,5a994365,cb67d31e,68d2cbc9,ff790d44,366a6a6a,f85d80e5),
+S(70f6d617,e21a9df6,370d044c,53804f62,9e6589d0,5900b9dc,849a8d05,719fd55b,5fc30143,ea245a03,ec0e9f01,a1e99f5,9ae16eb4,e693e3f8,732fe9be,b2c9b4bb),
+S(f633f446,9b1617aa,8731ebdf,2b5e98e8,8ec97865,751bf6e1,f509842a,aba63251,3de28e7a,de2588d7,bc53ede7,3e9acbf5,5688ab6a,2cca8910,2ec03998,f70a6d28),
+S(e3364ef5,183476d6,757ddd79,39447825,e06491b7,9fb5e6b6,c98e3280,e9dcea5f,f061aa9c,c5bb20e1,9084fcf5,a8e799ff,75670c3f,3fad80e3,ba3973a,be12b76),
+S(c98a303f,7bdd7f06,3e09dec0,e9b5f449,f470e4c5,cfa11162,25517636,2ad7cf8c,94dec242,a375b65c,b1fad8a2,ecc6de3,c2f4be0d,e8751764,f320ad9e,35dc5de4),
+S(fef6c023,5025dd17,5c8f5f02,78f7d9b4,515b7915,359e1c8d,bfa29a4b,67c1d654,9bdaca13,7b42cfba,f1075814,3409879c,249d5028,b1ef10e9,77a73c2f,749e9ce2),
+S(c4413aa6,18fe751c,a50aeecd,478757f4,b23e8193,5304248f,8d93596a,fa489988,7003e5d3,3bca34cf,625d8cdf,f6910bea,16a39e5,dcd20fd2,1822b51e,55098cba),
+S(b9719377,b83703f4,efb68dfd,b61c3d6c,bf9bb302,3747dbe0,c5c95437,6d56fe3,e57f0725,462f5f5d,b4c5162a,9b01fc,f52ea86f,6a7a5670,3daed54c,3672d825),
+S(e72c8bff,84730fb9,7342adf9,67ad5eaf,6a90282,ed52b70b,6d9dc90f,e2395fa9,10f49bd6,79c3e7ab,21aeecf5,bea893d1,9836fe8,9a228a5b,ab7289f1,5f911543),
+S(4e197fbe,2d935c0b,9280ab4a,26422b10,93a0fd4b,85a686c,7abfb2d7,621564b2,2c74f5e6,4e5205a2,7efa68cb,2ae9dc38,7467e102,5ef54a0c,4acc7319,4d372a),
+S(88639d8,35b91e12,f381ef72,2c9308e1,fe898804,6432d577,7d515ea8,1797f360,1a49a5cf,75b1c8b0,a842f222,565a35b1,41b3c2a8,8d1b8881,34ff86c8,9ca4dc41),
+S(a951d30a,c53e183a,9d74088f,8fed089e,1719f04f,39368d31,c0cd7b3c,b873f2ef,7f9e5508,a782c449,3ce8eea6,52195560,a1dc74d0,cfd8bb2a,4368fcf2,6ec783cb),
+S(67028a77,3ff55e84,d4f19a99,f651d9e4,abcdd680,1add3739,c1688c18,22ccba72,bb611a0d,d5ad4674,e9a4fa5,63c6bcf9,a5dddf04,f195a9c4,c917d36,4d5a2ebb),
+S(ba7643e5,13b102d9,f8fb5ae9,cf106d11,5d97a50c,d7e5cbbe,c13d24a2,be04a85b,f52f2e3b,88a49709,352b2421,2691882a,eb853ab5,7437e712,b83ceec9,2c25d7cf),
+S(b3673761,b46a0444,cf221e48,22ba2f72,36e0c3b3,d16962c4,6e52bf2,334f099f,69dfa764,cdbca112,7a173798,abd8148c,eced792,b4cde92a,833db24b,992ae90d),
+S(d6815b9b,296aea82,f1504323,1e6145b,cda92a3e,915daa0a,8a179902,7becd8bd,bf3ef3a5,8086833f,c579f9d2,2b7af47e,f97ac341,aa3aa2ed,2c74eb66,58178360),
+S(b5c7dca1,94b68a14,fbd05f42,63b0feab,9e1dae1d,42dcac2d,1a30f70c,bee14c34,ceada44e,540b26d3,c37eafbb,12cf0cd2,54a9528f,77d37e1b,c19cd226,1aa70d08),
+S(5a73c77a,7426af6c,f2d393aa,40189923,e47eb697,58fd76b4,5c8159bf,f7f8b900,bc90f626,9d8572c9,cfb6cebe,b6700fd5,49fd0157,ab545a5d,1f1970a9,47786b1a),
+S(4e38c28a,e5fce8a2,ebee4340,e0d99788,340dc758,f3740072,41a297c6,41d8aba0,ecdf41ff,e5533cc7,8a9ee3c5,77dcf2db,bf589531,ca9e1ed9,d5b9e23a,27915eec),
+S(59fb08d1,c85ddda1,dbbe6b64,7745591c,68bb7a44,608a22ec,9a83902b,14acdd61,f4c21cf1,6869d2e5,355ac8a3,227345d4,eacf74bf,af742fc9,413354ef,8ca1884b),
+S(62ac0b80,e2040117,14a508b4,42cc0564,40f38eb3,e4f0e19b,4d8d05cb,bd19382b,e0d4ebf2,5bca30dc,95c0cfaf,140a0d67,29341751,881b955,9e03eb70,98ff11ba),
+S(ec16d69,b7cd751,c44ea4c4,9b7c917f,45cf3c57,efd49263,58af0837,70c32498,8c8aaaee,14344b77,23c17e31,752dd638,fd8bc3ea,cace7522,3c712b6e,82d1316a),
+S(3dd4a6f6,9d614c5f,87de1bc3,101beee,8b66a1ca,749842ac,dfe5ed3d,2d4b780a,2d5e6b54,464bd991,113c5ed6,50ff5af3,ca2a18f2,ab43ed6,5437ea13,3ba99fdf),
+S(5e404405,3710c999,a77d9048,cc651c54,718936d2,d4d8d8f1,ef416a54,51861aec,c6c2bc4a,1e8682a,2426b02e,92bb7094,2f8db6ff,fa6b375,79b50146,66f31f7d),
+S(66032f1,f55b606f,fc68ac3a,92683cb0,d447137,430ce435,9d1f06da,10954f99,fb14ad80,f168e517,fdacf38d,c197fa71,6ae1157c,ccf0948b,a7f0914d,ff8d040),
+S(25c4c534,8ee76e19,799d3f9b,f56d3566,57332560,693e362,b7935ebb,85d7056e,1d7b9e9d,6e52f220,e82647c,a560c02c,ebd3f608,f11260ee,c9b16b58,76123b6b),
+S(fd70c030,435fa972,793551b1,e409739c,6f148342,e833bb16,c4dac4a8,a853f0cc,10870dde,23c4097d,505f2d17,d3dd93d6,eb9c1300,49cb0fa9,2ed63c0f,feb73e80),
+S(ded2703f,3fc6bcc1,eb96a925,650823df,583ae86c,cb43836a,19ca31e5,69c1cebe,5957989a,db61c969,8d61eaa1,938ad6b,cfa3543c,e13811dc,cf5b4ba1,24d62a5a),
+S(9943048e,7097dc4b,709012f6,d298137,dc8e471c,a66ccbb1,f023bcb4,938c02f4,57fa4b31,b80df627,b9c212b0,4bfbbdd8,d1dfdb03,ece420d6,35d0ec9e,4e86384c),
+S(313dc488,9214c7ef,960f2f95,b55b8083,d1adde1c,775f7f6a,62b57c01,aed5b95,bc02f247,668a334e,349d8ebc,6d7a1ba2,1f99ff1c,ddd10c2b,59aed3c0,815b1e5c),
+S(1b9ce18f,9360e5db,8da1fa8c,f5ff96a3,1a898f19,2eceb059,c39f6cbd,4de5c920,84937b84,5336904a,4047c917,6d1f54e5,4e1a15a6,52a97668,6249987,82f230c6),
+S(4bfacb3c,18ebd5d1,bf71ca5f,b1b6bde7,b314d2fc,ca1c05bc,f4021595,e15c6cd8,a33c205f,d4ac1624,d4ebb554,816d6435,86e08ce0,6ccc762e,232cc7ea,d65aa5ee),
+S(f6843448,522403ce,a3e4597,30648835,2399f699,421db1b5,2fe33bb6,d21c614b,ce80913c,eb14f530,d153104f,202dad87,2f000f16,fb60316c,bdd40c79,4c95ee85),
+S(930816a1,ca19458b,c2badcc6,3cf66d0c,6312f52e,853b5365,1b829b3f,2666ca70,4b29edf1,55385f57,63dc4008,77c846b0,4c810747,4def410a,c796f58,f61b849b),
+S(b9d0798f,2ead9231,7face0a8,31869066,76711e1c,f3a9a465,8f51c039,7f76c066,4ecdaede,bae33f4d,79240d11,ce0b0564,62ad9f0f,51b6d7e9,e69a283a,4770053c),
+S(1e8a7b02,60d58ae8,902fc57c,5a1648c4,e14d1a6f,696e7aec,c2cbe5d7,2e5439a8,e8c76d70,913dafc9,d157d030,8ed328fa,e08150b6,4a48754b,907954aa,4aeaacd9),
+S(ac754bcc,c9c7b4e3,6551b654,a0620086,412db1de,14e422d4,c9111c64,c8b08b0b,3a8450b7,e841959b,93d3bc25,ced04aaa,4df90b90,d1ccbcf1,2fd88bc4,fdb366a6),
+S(7e04fd28,1770ae0a,8fcb64d5,6e911667,a50170a8,3fc691d0,b0a8e1f4,73de3c2,73c37d99,cdfe5941,62b7b620,34be369a,c7da1d8b,e7d863b9,a90de407,24acb7b0),
+S(ff903b99,13bc9005,8f237e9a,50f83707,a6f7d24a,d62142f3,16fb89ac,fad9ee9a,37cd140,36415c21,6e899a0c,2e8ccbd5,8f3eacb8,c88b1182,8436888b,899b412f),
+S(d1edc0e4,44e92bd6,be858374,8f8fecb9,dab0d6f7,c74d410a,c412865c,9bf95d00,c10e796,3dd91bf7,c1754154,ec82460f,817d919,d13c52f8,d6578e8,52a8f87c),
+S(62ce4177,9ba5fd6,332d188b,3a8ed98b,3883f013,731ec72b,8b0842d,ef0d5e58,ff141435,2b26b61c,ea78f67,de7ed56b,7895c03e,e3c28050,151b5a67,625b2d5c),
+S(c8e885bd,5d0d5399,47addcba,879e7fa9,b075f871,e484f7bb,69081c47,8540c845,2d0d3f40,77cf511d,f93a278,91795dbe,e5087584,eab4fb83,e18e5d76,8d939dea),
+S(62b1a52b,de107e62,4567357e,de49b08c,30c31e8,9c1743cf,a033fec,6bb8ab3d,9ed15063,ce1c8d00,1f19b388,ec678025,9cd5d951,4e263453,d5bf98ac,bd64d1b8),
+S(88589c8e,9d35e6b4,5788bf01,bf3c6672,32324529,3d8014ba,525f016d,6f721e1e,be4804a5,d5b49ebe,8dd127b6,e55a7702,92a1c0d1,dc431fe,f5e4e873,103e1fea),
+S(75e47add,7a7f2099,1a12916f,9ebe39b5,1409e82f,67afdf7b,d1d7464,1b83a85d,786b9b83,818e81ed,e3fefad7,c7203e57,99b4100,7cdd291c,321adcab,31b57bba),
+S(d56588f9,982aa917,ce28e887,44ffba41,4cc1046a,a0122d2d,afb8715f,a9afe3b4,b14c6ab1,3a1793e5,68b171a5,1ecdf179,d78818b7,9cf7b1c3,97841a64,97b5e3c3),
+S(9be8f7c3,efadd410,8c24dfcb,3a14a279,8cab4de9,8f5ec786,de7a4448,d9150e52,705ae8a3,a554f092,c677eebd,605661f7,4c463b81,97444d96,a5bda8a4,60315337),
+S(96c95643,ac2805bd,421dfbf0,8a4801fa,69b6815c,bd31156d,f12207fc,48831c43,656b790d,35e598a8,dffed7d5,9b0b827b,3c46bb1c,3e5163f2,a4b71236,c6bb1b64),
+S(9dcdb2ee,239faf20,2bfa036f,5d6adf4f,8d1add19,8def404d,a9447867,b126becd,3b727773,d3587698,7605dc66,12dea6b6,46052652,abfc3ec8,576740ab,81291e89),
+S(b33d2b97,e31618b4,d9273d4e,82893e01,d85bb2c8,7d0d1059,f989bf3a,7022d2bc,2c447cc1,6e680637,12a4789,6ecaed55,83cc9e94,525d7c19,9e47416a,8569d5d),
+S(74232d9,547bf3eb,fe4921dd,92d77131,3f5c97c,203c0db9,12106698,aa9d5c8e,6fd43ac9,ac04eead,7566e40b,3d04975b,315a36c6,e5b72cd0,14d365b1,b7a3836),
+S(937ffd12,72a7df14,21df0c9a,3e015d0d,be72932c,3489fa2b,d34f72f2,763469e8,55e9e0d2,54d3379a,a6e35511,acf9dcbb,372d5b8f,271bb7f6,4c2cf77e,bf624234),
+S(1513a5a3,7aa52a65,d659a7f,b0e762fc,67a8a196,8f2b6ae2,bdb02955,5d92476d,8d99d771,6cc3d831,9eca3b97,8c91d239,a7ef6b03,a13eeb25,ad94f4a4,20ad3eb9),
+S(c7464b4f,bdd39bc5,4ce45b87,e4db3a3b,22fc52ac,b649266f,f7dd69bd,65b2843b,bc0d264,e48aa14b,bcbdf505,9a35fe99,395f03d6,60635150,cb8424b0,c93eee25),
+S(cfdc9326,cede0724,5a89824d,1cfe590,c0945793,88812f11,4bed6577,ef7432ce,a8df1cf3,5d471afe,ad43f88e,46e5cd84,ece5fe8,fadc55b8,e79d6eb8,2466a270),
+S(aa5529af,861568f8,cd4ac26c,fb1f5e3b,5ddf564d,ba4f3b5e,8d3ec5d2,606530f8,3273795b,31e53e0e,e34ce1d,aaee7801,309c0315,926eacba,fbb0fb6,4f0a948b),
+S(206bf37d,599c665c,1bd20187,93f526af,1099819b,4780f2a7,6f5c3797,4eb404cd,7de063ba,3271773f,56ca358d,335a015b,8ae8a45b,b4a9cffa,2f20872d,9bc654b3),
+S(3f21852f,621d5a6d,4c91f27e,82018b7b,4369c15a,69664cc4,6cdd8195,1f3ef14f,db8e7b5,fe7d9972,6da564a1,78131727,3ee6e005,908513d1,3903aa3d,d036123),
+S(4c562c1e,9e4bb491,17948e93,f94b4146,c918554f,7d351300,5ef7f181,2c9900e3,1809f902,c6f694de,7909c8e6,ea4e938a,c1d9e6af,7707bd05,3a7d8560,24875012),
+S(a692c8a7,a3b306de,48481c93,8f0a9814,e081bf11,6857f217,4c1ccf1e,a8448a30,7a660fa7,def1429f,4c72e44b,9fad10a4,7639942f,56a647c1,d609f3d9,26a40a9e),
+S(981d35b5,5998f57d,58a62d9d,af65e53b,419b99d8,2d2eeea2,bede4da8,ec400a2,d20db6e,211c3ffe,ecfa43c4,79a43ab3,8590a142,9d9520d0,62f1ec1d,9f1c574a),
+S(8afa1616,3350087b,1e286bfe,5d610463,41adfef8,8b0fd809,336137a8,92d32e45,54924c6f,5c2dd61b,e5b1186c,7fb8519,29af1989,f468049b,bd5c3cbd,387a28c7),
+S(ba7cc113,f1e3bc3e,ae14c2cf,94fb1ee8,bdfa60ab,52582ce3,595df63a,d08c1e17,ffec33d6,d42e2233,baf02780,a60272f9,3531b1fb,158a4bac,6c6a488c,fc23d03e),
+S(166f2dc7,661c9e5a,aa51582f,4cd08cbb,47c6afca,143c4231,36144cf8,ce69ced7,132e0d13,6a292cb5,9f0503aa,589b37a2,dd1c9244,c492b8ef,647d79c4,778bd94a),
+S(bc9fd332,f66ac57e,46ff7801,a7d38b0c,f2befd5a,2513688e,b29fc5af,902f1c07,8f58e1a2,2958600b,dd64a428,7b6b25a1,dda32351,dd45453d,d03b99ad,e406e240),
+S(e363fb9f,77378eb9,2600491,386a884a,24839001,cc516bd6,44cf6e57,b1e66507,3f83ecdb,907afc42,b47ca948,fdfd3b73,dfcf1e5a,7cdfe1dd,41a188a2,1b5f8b1b),
+S(c8883193,9b5b7ab2,2af8763d,52efbd5f,50939606,920325e4,805842e1,3faa3cc7,5db2a08c,6e8ad455,f542d2b3,9b8203e1,39c5b0a3,d1fb1ac,763ee4b0,4b9c1f7f),
+S(76149173,1a20a975,16607b53,501c45a7,f94df1a6,e0f15301,bb0bbd4b,eae97439,e75b67c1,fc2bda74,9f834d8,c9439b43,c33aa4ea,f2fb9116,9804615c,8c1269c5),
+S(8c19284c,f62a4116,a40ec5f5,43cdc2b7,e7615400,d1090f86,2f378ac5,81f4b5d8,bd93accb,5c42ca6d,a4e6ac37,b2bb8359,42bf659e,a0e6beed,bd754e5f,749bce8c),
+S(7664fc89,5d8de0b7,b19f18be,cb9a9b1,783f97de,3167bc39,7c03d007,18311a7,861d8f0f,125d051c,9f808064,346bbfad,410fdddb,aa31aad,cda7a713,1d65a3a),
+S(7aef0296,33664cd7,694a5d0,aecc0466,541535fd,b1540c38,8f0e0e9e,24e96b77,e02f2ba1,8e92d161,33d29d1a,c087cf29,3a91acac,662c7208,b9157032,d0c829ce),
+S(cd222d7c,b49b957,e5252c06,7f649ec2,dae145c4,d82a82b6,8693a242,6b7ba40b,c261f956,dfbed5c0,e876492d,7325b964,3dfb2075,68ccc93c,14b1e8eb,d3fc1b59),
+S(5055e224,c61b34ec,9cbe93e8,ea4c9488,19d94338,edf6daf3,72eda45c,da9f0971,4fe31a71,bc782d4c,720add07,4cf97c47,dbc1f38a,3a9d9cf5,955e1760,5f185651),
+S(23a80902,a97669c4,4b20f49c,fee841a6,b5a99b5d,d423f4a0,5d573a3e,4833984f,6a57ed,265744e,f4d18250,435f695a,b80b944,d0153b77,e9e9a20d,bd98c659),
+S(b9879ec3,2ad8fecd,35022a2,1625c159,a31a72b6,5d3f3c67,5dc8e114,c5f59de1,439d2afb,aecc48f6,310e18c1,2e31c9c0,cf91162b,43b153a2,f901a19f,1efe8e10),
+S(918e367b,531fa89c,8ca89c2d,cad34aba,c937cc00,be3a2b18,bd1585ea,c4678a4,800078df,6b700c11,85418749,27a8402a,db41811c,77d0fd4,aa435c2b,7a3f0a2),
+S(6cd0f4f1,c03f35c0,65815638,10906fa9,a41bbc26,da1bd7c2,ef39a4c4,66e49252,ef644bd6,ed42cf0d,3ad17638,5c239fca,61056021,b001ef9,dcafd370,cdc06156),
+S(8a0c443c,3e26680a,3dc8483,e0a067,553f7ffb,af939922,1c35a766,b12286c0,6c30af1b,9a97958e,11d1e24f,3e8ce846,1ff37795,556772d1,56514015,a46951b1),
+S(563b11b,a7f5d351,729b8537,1fdccea5,d7081262,8c1e265d,10c29172,d9a3252d,81c0a2c7,8b36ca17,29c9c02f,8050e3bd,ce46607c,5409c50,10f8031a,ec872593),
+S(27e88b96,29eb9d92,e57ce3e7,75063c04,4a1f9f0a,dc94a139,abe56b05,77718f94,ea04c851,41e06d26,31564122,80c86d83,89c1f15c,3c7e98a5,610e52ea,19b1305c),
+S(95288e29,a554b7e8,15ee68c7,16772a5,4320a7b1,20a38865,f3838345,f9edd5d2,d81b97b4,2404966d,3c4160e1,59f275ef,b91cae46,d9a33f51,34455ca0,496e4472),
+S(b86033e8,e3bde32f,859f6af0,bb87b72a,b1b88648,776e1e14,273e52d6,205e0186,e120cc94,5de7563e,915979e1,15ee7cd4,4875d50,bf6b93db,8a133cac,227091db),
+S(644a2090,82c7984d,447eeadb,2b21fb36,599d2c1f,366a3af3,44afd230,9b780c8e,b49cefa2,c0865df5,f6f6df65,24b39f7d,67eb07f6,ab6e550,390351a6,a2a1a00c),
+S(1f2c4207,2e803f99,d1389efb,209ab0e9,2d7891d2,531f6710,60371c19,7b0f41df,98db8e40,69dab24c,4fc6e13f,37e805bf,45d30c28,9d4455f1,9670299f,a6c6a804),
+S(dab5435,220297e0,e738e798,f1f8375f,dc813874,7a633f05,1be409bd,d6a3b8ab,91b6c193,de219ec3,ab3d6635,d4c41a1a,6059372c,a8afe185,7013e474,79fcb382),
+S(5ae6a897,467fd90c,f693a5a1,d89d4fbc,4f11680c,86f5f99,30af1866,a1f27137,40612777,fde69d15,7d51d85b,137fe92d,c269c42f,4423531d,548fe248,44d0502b),
+S(9bffceb8,9acee7f4,68cfeaec,6d597672,6f227197,6506c5b2,6c5cef5d,7545265a,a265cc26,fd6332b3,fe6c7487,23ce3d5c,12eac750,59947de0,9face60a,4df250a9),
+S(f38cf54,b77eb8c3,2d339dfb,df288a11,3058b4e6,2f8c4ffa,2bd29e2c,e6c7b677,2daff1e4,54069fd7,63f422a,15e9cd91,65b5d97a,ea0cbf55,103dd751,9faa55b7),
+S(350d6b26,8058c8ce,4684a5da,32e3eae8,caf387be,ea9c95c,311d0209,47122dc3,8ff3be71,e94dd657,281c9f28,780b015,1a2abf2c,2c2ed9fd,e7d0adda,6c5e0690),
+S(1ab92290,615207f1,34859fcb,26ccc8c,ab9d5ba9,f30d12b1,ecd7210d,c68cf573,2f1c5e0a,53d449d8,3a5d1507,9992dea1,b481e607,e6c99f7a,5e0193c7,2a426d61),
+S(9e98be16,cf2ef9a5,fa3a320d,5f844cb3,c715420b,d44db10c,8f24b0c8,be65cff7,9ff6de6,ea416ea2,72d8e438,e132a86b,a03c272f,378a4726,aa72800e,d0214a3f),
+S(9e7b45ed,8f0738fd,58784c7d,a42312a3,53f12676,9fc3ab56,9c4cc69d,25a5b1f,22be7dc,e6e513c6,1a733f45,980f2f60,ff4653cc,49391baa,f4b27174,98f79668),
+S(6b6c1553,cab82490,7c5c480f,88daa7f2,7e57b870,5110e1e,7e7a5be8,4314844e,4c10d4fe,d431a4d9,6b719188,b2027764,53885709,eeec2837,32832497,319c9626),
+S(1d28f09b,37cc3c4e,3f7ee903,6adefb71,6423e5e5,8840c6bf,d3c03151,db723a1a,acbaeae,cbdc3e9c,85e36db4,aad508b9,9a152373,547613c7,a3455769,872e55b0),
+S(55e861ef,3de7675d,857b8ba4,73aec3e0,de0f529d,3a9f4a04,11ec4d4f,5a996d75,a942b32c,44618065,af08a1fd,73e052a8,78df075e,e54cc160,eb9846b5,d46db7b3),
+S(10f1258,4bdbfbc5,6ce7b023,78a5e908,9457956,65f4e49f,a53f7143,3deda9a,4ce2f90e,efc88f33,f12edecf,1af91612,e3f84dbd,91f45bf4,5833012f,63e02398),
+S(48ae6885,ed275a41,2bc61a67,399ed1aa,cb968182,2775dcf,9012cdaa,a6b21ccf,8b4b5cab,e5471381,46c62a82,102d43bf,5b83d993,41d026f7,c1525ed0,8c2238fe),
+S(c6f5c5c6,73642a35,59c06df0,18527de6,7fdb9f4d,75c98f01,8f45913e,932c1481,4a4d4894,e31d2adb,d150b184,51cf16b9,cf7e3741,c4ed2511,c0765480,2f59fde8),
+S(f38923af,ff4cd9d,cb16d571,3a68e18a,7fc163d0,8835d283,3676caae,5156fe49,e36986c8,d7e07fb5,6a1f4266,d980c113,43cad9cd,f7e4619e,17a45642,6425eff9),
+S(10883b32,87b20d7c,7e60048f,13f179db,e169b82,f9a95f87,5271861b,36170d85,59be5146,d328574e,d837776e,c0748043,369bad42,b38ebe6b,861861a1,8c5307f0),
+S(87262e3a,832a6c07,d6d32fe5,8f0e85c7,40591c6f,21da8ae1,5f8fd137,454a383d,7db37cc3,11decb91,cb4fcb0e,9e73bf0d,c91b3a5,53292f8a,f5036dc1,baaf4473),
+S(cd4b75e4,7fc954fb,b71c21c8,28322c9,a54871f6,2ba2a803,780954eb,46c9c54a,6cbe7868,8b5722e6,ac75f9e,c93a7a4,39350a67,7ef31f53,c4c73b33,cdbfe124),
+S(468fce11,bbde91ec,fa738924,9a07a39d,b0851d0c,3cb60f96,cbab165f,f5c69242,93c66305,d55a21bb,e14bc51e,be8d9c8c,14f0e8ee,caef9b49,567a8f03,6b2d06ad),
+S(f5d9aa66,9cc173b5,5850e784,fbab08db,d0f11e6c,fc3243d,ff6d1a7f,89f517d2,aedf8598,b11b8c00,34f1e3a0,ed4c6c2a,db1688bb,35bad212,ad692896,2b045d13),
+S(48276e7f,91c2068c,161e97e,7587a30,a79ee120,cc30a9a0,571da1de,53f9e253,a59189b9,306aaa38,848b7b7b,4653e6bd,68944d6b,46a4899d,44ed2367,3ecc241c),
+S(7709db32,f9a551a,23dbdb7e,824fcc7,720f24c0,3c58c68f,d2b5ce2,cfb59cce,f8b35a2d,ec4b7698,58fe791e,c240f54d,8b5ffde7,f24119b2,7ab20fcc,8ad07f0),
+S(a7b6e973,d1c62f03,6eae2674,bb5b37d6,c5ce3187,41776833,d7f3e8c1,ed2e6ac0,116042cc,3b409748,162db6f0,69ebdb11,53aece8b,37c277eb,28c9a2ba,c7c8224f),
+S(7c5f0e06,652e8870,74d0bc97,e9c0023c,e2cac507,659d1a07,5f9c9fae,2d77afc0,e9156afa,24565d92,fadc1aea,f49e1bc4,b28606e2,5bcee2ba,f7c9a87b,b510113b),
+S(14a0e517,1a796c5c,1bcfdbc6,f0431dcd,6fb7a8ed,4d6f1621,be01cf2c,64ae0166,231ab7b1,1c3d84fe,1e35b994,43d7f7da,a0bb4e46,834e92d5,e5c689b8,427b24e5),
+S(fec19af0,286c251e,82aa7ec3,c5a8b048,9ee4b6e4,8e62c59f,7cec1aee,45b7323b,18cb5d01,5506074d,c94d0a0a,261301ce,d042405c,e4f01f39,2bfb40c7,62b47a8),
+S(5788e079,beda8301,e290a04d,dd11c173,6112ac99,76c4857a,ba479485,5d457873,e2c6e721,b5bca7ba,add95284,9257927d,86877477,e8468b6b,9235b30c,557fd7e3),
+S(513c9124,d7e1726f,73b39525,377c2761,48697c71,594615b5,f18c6695,b4d589a6,659ffbe,fb3ff7b0,2e5ee01d,eee0ea65,8a562af,722076cd,3cb2ec56,16533beb),
+S(d96da66f,fa79adb0,80d06968,bb9243c1,dc6dcccb,1e9250bf,6243a1e0,9578ff8a,76eb65d9,6d520da1,34941ccd,8af2f32b,6050feb9,2ab39835,931b901,60a5e481),
+S(37033146,69c7eda3,e598a616,12c65c76,8b5cefd2,3371928c,191c3d16,4d1b495d,fb886600,ffb6e95e,dc704a62,f5105795,474ce36,45d54d24,8cc53fdb,7a28e978),
+S(493d5ec5,ea8957ce,6608e59e,66e8a6c7,a8aab1d4,fa14230c,8c3a6288,37e60b2c,594cc0df,dd37f4ff,d235e2be,1cb98f61,8485e453,6c301d21,11267528,3bbb5097),
+S(71e0fd4,937ae3f4,84d521c4,86f01485,a94bf45a,6a0d2472,d7c5b97c,19d99068,7551009b,73422956,afab9675,1dfa7eb3,9feeacc1,4d220714,1cf157,78f7087e),
+S(fe36f2fb,971a1eb1,9a158190,cab6d80a,60601d96,231b5aee,b4c4b332,b35c7031,f72e5fdf,b8ac9af1,263f5492,2caec24e,dda604eb,953a3b02,4e29d70b,55266f87),
+S(c734995b,fd73d82b,8555fa56,56465102,b6b14813,272103d5,2de7d6db,fb9455ce,713ab271,3c718906,3faa274b,dc2bfc7f,4f65dbe7,80e07c0f,7b625d70,89f31714),
+S(e56a3832,f58b284a,6454f8d1,73f2dbde,b8212cc,a9196524,e1856c98,6dfd76b8,cb301f78,26b39496,6d9f9953,7302ec8f,27af592d,fb8e7e1d,acd5242e,ee2b8cb9),
+S(c511bbd4,e242f5fb,a2202900,45f4f125,ab2b588c,f9b375d4,4910fa55,be8ca373,3b96300d,7713d05e,d22eb08,bc039eea,ba2f36f5,80398e61,b3a74581,5f884408),
+S(f7ccc53,75c59fb2,90408676,ddd9f1d5,ff6d66fa,1172e0de,cba38ea8,a160a457,45081507,f4a14598,ad0f4278,1f14b8da,72ce889c,f23b52c4,ec5fd1f6,9939e054),
+S(8219112e,48f1a2b7,7a03f20e,3eeee016,ac69818,f22adf72,3679e2bf,3586dcd5,205e4b4,2b9ed249,a63d4a5d,853ecc4d,4d37b0a8,4841e959,d46ca7ed,f42a7c40),
+S(34df67c5,b0a9400b,9b9eebf2,132426c6,281bfbb1,402cd49c,1fd38bfe,c19f6afb,34066c5f,d45751fa,df681c95,791fba62,79bc76cd,a70ce02,92ba7c41,34fc5d58),
+S(9b969626,16414928,6cd8ba65,75572291,f1a885bc,1ef82fcd,7c445637,da1654a8,12e52b50,2fda57c6,ea330d5a,415d47d0,a1e5a138,b7968c7c,3543dff2,9578c13b),
+S(68add94c,a17a6ef3,85d23fbc,5d7763b9,15c29bc6,2a520139,24154a60,66d0eafa,281bd1a5,71629916,1a911be9,88a13f64,e8065610,219bdbe4,5271f4ce,2113d77c),
+S(143eb857,7844f677,2b01db8a,d6cb84d9,fc1bda3d,638325d,b29d280e,16a7f36e,a50cd3fc,f771ca36,58f2b9ee,4133f17e,d72383f0,94492358,76bf04a3,296b7df2),
+S(7b463842,1537aaf7,2e6f0800,cb9c0428,b1dcd22f,73694b83,63f9b2a6,86d94bc,3bed2d2f,c7b5a092,e6e8eb33,1f945a24,65936fac,90a3f244,942895be,ff42895f),
+S(1857638f,ef86615f,7bf0665c,3b5d9cf4,c51690bf,c96481b5,78d30131,8a32349,64adcbbb,22267bec,c7a40d4f,6eaf66ad,9c133182,b4af858,6b0c4aa2,e30a37f2),
+S(bf84f3bf,d726e0f7,2463bd38,4c14b35d,f9502148,4e78f001,b848fdc0,4d7a823b,4cbaf2c8,71bd8ecd,4439fba7,193a9bca,d26653d7,a4dc7a00,f0a35189,e1949139),
+S(4482f7c7,1bc8f76d,9bfe9148,77ac76a7,6131501a,55fc5556,c4e95ac7,68c9ef11,f5af5b16,10733ce5,bdadc3e6,d1df5de1,314495df,3185f7c5,14151c94,908ffcc2),
+S(715e384a,100bc5a0,20857ab2,57a352a3,b7ce41e1,a742cdc0,ab1354f9,d3483e93,13703919,b85f567d,87d2e6ae,c2ad89d9,743030f,9b32f277,34c3e9c1,4b5fb1d8),
+S(ff90a61b,98f591b0,ffad3ad,3dfc0432,1093acf6,18b0f71a,f637a335,e9627726,908c8caa,f88ae7a,c215cc30,7d7fea86,1d69ca24,7b1c0949,57f022c4,ac130335)},
+{S(d8f08d18,ece61855,5b06a3b5,ac8e7cf,a6375446,cbc7c8db,ad924f78,69e7f00e,46a91d23,910957eb,db830624,73839954,2cea0570,2f67a09d,d7d19217,646606e),
+S(fb32ea9c,4f434cdc,db41595e,58f16466,7fd92a08,8a182823,137cd308,9974551f,415b1d67,d845a304,a92f9f62,65d09c20,32bcc521,4303d791,95b05cab,95ea05c),
+S(49523899,174fdf41,e4a551f8,423da35d,f3cf0ffa,1f2b8b12,d2a51764,9d8f8b91,6f9c0b72,c5c6fbe4,3fc3d956,7e4bb980,975b744a,dc9ecdfa,8ca42f46,d7164130),
+S(c02d61bd,9ca243ba,f2907638,3dade862,bb6ec35d,861a9829,10a084c7,7dee331,fa82b2c8,f015d9c7,b7329bcf,51f60a93,60d54d5,2b24506b,db542d9b,23aa7e6e),
+S(a344867a,cf07375a,295cd97f,68093020,af6a1da1,d871b330,a52ab3d7,b4cd0ae,5b1c6f72,531ff281,88ace548,4f193dfb,b8fb233c,b251c788,22dce3bd,3a824c5e),
+S(96ba694,48bd703f,a8aa21f2,4257bcb6,2e98751,42d32af,63bb6a37,4ad262c4,35c74902,7d4d0a4a,1550b7ed,cf791da3,7aff1aa3,a446225b,5ce2c0da,aa85c82c),
+S(278eba80,511ce15c,f00617ca,21d62211,35f5c4c1,87d959aa,cb098b7b,4b56e51e,ad903485,bee432c3,5ec613a7,68175d93,4f0e855,28b76b41,1c6ad8a5,510510d2),
+S(554be9de,b938c4a6,fadc2fb2,77178b95,37719f20,8b7f06d8,7993d06f,c3500bdd,931e3263,34c1e96c,a4c88583,92a8b7a4,c17f7582,e4d0b7eb,6cfef36c,7e2d6f0e),
+S(26a4f40c,968bcc7f,cc4002ca,b7ee20c9,3996a600,b4f81df4,66692d3d,5a6c19cc,67f7c990,ba734ebd,af5b5263,cc28624b,9014b7b4,443ed322,fecf49b3,3760b5e4),
+S(67a90211,86d66afa,172fa6a1,dbd9b3af,9e3fc726,e5ba6916,59f066f4,fdc6af14,23ddf5f8,96203f49,9be9db01,5451305e,57e51d54,95672895,3968ae1,fcc835db),
+S(d3bd63e,d5555686,fa88a122,294ba841,33be6280,17a21f65,285d4651,214b1ecd,f0fd835b,5f27da51,1216ebfc,f5af7740,8fc053b7,dedbdb37,40f6fef4,4cec8bf9),
+S(f0dccbe7,ce8362ec,e7f8d550,b0967d4d,fbf6f9c5,1ee4e7fa,b3ab9b50,2b0411e4,7e63fbef,ed68f1ee,6f3143e7,a8e5f2e6,edc77db7,3d34b821,1e062b36,6ff0b8d7),
+S(56cf2a5f,d7f41d22,cbe716bf,183a9eea,370f9bb7,5620f460,56c9023f,b8402952,600de0ed,c86b4f7a,93423beb,6a2b29de,749d05b0,4725b5c7,2fbb60e9,7fcf815a),
+S(1a60d0d1,73316260,721542e2,33c6be2d,e0088476,e24fc61d,3d0cc619,dd3c1564,bc90efa5,3588b420,2cd46e61,a826a47a,b9f5e45d,eff920ef,100efa34,c179743e),
+S(bc406d21,ba9b9a12,a38b6572,5490462d,2be4d0c6,8922fa01,b02e34db,ebfe8e71,6ca29bb6,878fc1dd,13cf814e,c9bff5ba,12a3d55b,13c3aeb1,6d588ddb,371c1981),
+S(376ecde8,891b479e,490c80b,b81d15c7,c5b19a7d,4f838db8,b580338d,5745e583,9296ec3d,9256e491,3ccd38f2,e6331513,c7040e20,4d0e8344,6e9e8de9,42699fe6),
+S(64cb1c7f,ec791b1b,7b94c8b5,969410b2,52243c7c,3068eb11,99d2a56c,aa2c1330,f43fdc60,76e80c11,4f19dba5,4f51da94,822a98f0,986ebcd8,6160ec7b,b249227b),
+S(6f089f0c,2b95a26,e3cd8d95,98469f,c0795e0a,6be85b5d,fcb47071,c5413db0,dad7a3d8,e61e2a7b,ff7f9357,314d4405,8cdc1aae,c1bee22a,461c6b41,23ada4e2),
+S(90b30e36,bfb33081,d54a5383,c77116cc,50e1a333,1b319150,98736d29,e4bad6f0,589000af,241a4c83,bc2defea,9b653ce2,988fe376,77b31abd,7f384762,758e98b9),
+S(82f0acf,4a764dc2,59218ff3,397618b3,2e341ed9,6f4961c5,f5a6d559,654194f8,ac0f10a8,4728d82f,b8784cfb,b72814d6,868006b8,1d00894,26825a0f,3c3404b6),
+S(3460815f,6036aed,4a2e264d,8e17b1b5,6c10d77b,5c021cac,69ee3a4d,ffb3df8f,c11a4b6a,c66ba79c,e6bd00c0,286aa96,de72f162,3a4f8d3b,1a4bc421,c9f33340),
+S(b8c0311c,c21b7f08,46e66ebe,f3dcb726,53de4e83,4e450a06,e394d25d,195cb7e,64d4046d,6ef0fd1e,30a71c10,d85f0f07,8ce3113a,e904764c,c5a29ef6,c983b327),
+S(f7bdf7b3,b610fcd6,cd2712e7,7a30d38c,2df3bb69,183ee96b,408bef1f,f57dfc59,fdb15f4c,61f276f3,343e2ca1,38d69b12,339e7e5a,dcceebae,39c768f8,95a0bf92),
+S(ea32acb5,b5ef1dda,bdd4ef41,52ee856a,6e298277,f5f9c95b,e1adf49f,cba85262,1c0c5f11,3a3a033,790b073,9317fbbe,874afb39,72935a3f,52a309fd,6432e0d6),
+S(e184d302,f708d25f,5af8d023,cb6b416,ffda5bbd,9f592edc,ab4f1890,3671b604,21c74686,4200438e,9cf66cf8,19292129,dda4fe13,965becca,8a1fd18c,e753abe),
+S(69e75799,f0c0098a,3225e598,a7e8fd98,1218de4c,42aaa680,4ccf7c92,a45fe071,cdd2c796,c85d0930,8aeaa1b6,9a535c5c,6cf9d607,b2b296db,33d0b61c,b4d7711b),
+S(a70c1082,119c47d4,75af4a96,1e61f0dc,284733af,c89e403f,9a5dd65,d465980e,3193967,8665bfd5,b37cd1a9,62f86cff,43b5f058,ae9045fc,c571cd62,bf390e9f),
+S(f63e5154,9819926d,254f76c2,6d4a7b95,f01e612b,8b885073,f7ad23f9,dfe82d32,57521b53,d9a8a71f,71ae4b31,df7999d0,40395ce9,f0b70cfc,396bee62,40364b68),
+S(9f62320,94d674fe,3959eaf5,b947df18,7e894594,8becef29,28bf7aee,983e108,9430b33b,5bf4d79f,1683da6d,ba74adfa,dc19489a,be9eb3f8,9f00a793,37fe9b38),
+S(9802daf,4ba214c0,d19ba4de,77d92223,7f120914,7595135e,9ad3c75b,7731638e,98cbe71a,b035839a,3a2f3449,d6261dde,c14501e7,53523afb,4406c657,1fe5d2b4),
+S(e86c5944,58017291,318caa82,8fd86a2c,d4ac8a67,c42dbd2f,f57b2b38,f47c9e0c,9e069a55,94596844,8f5bc2f,f97d9660,62f99bac,f74d46dd,5196b37f,f8503c26),
+S(40d57e52,c21f1daf,3ea1d981,5f4da45b,807f083b,9e68f2c1,ec5b6d56,e2921871,99115564,76906b4e,5deea9ea,29ef8dcd,c1841b15,bd662ab2,720a28ae,d788e9c4),
+S(b797d0a7,4ed78f63,475364cf,fdc42fd9,8a3fdaca,19c7decc,cc7cf10,7cf2f8b9,cbae44e4,773eae4,70f777ea,cc108650,fefdbf31,723eeb6,a77ccac1,129c3cbc),
+S(a1b4bb86,61ba1626,c55158af,f04dd2db,b9bec0e2,943d91a0,1b043756,3fdea24f,fb8977c,b1088ff6,e6a462ae,1b8cca01,a0f6c737,816c3b3,d28d8ad7,b42630f5),
+S(862cbd75,f1b8115e,45497c3,ce7f1058,200c3bfd,d9cc6ac5,b65b2e4d,abc06241,ddb98861,50925a0b,1c3445b6,a7f418be,7d5ee05d,9b7d1cf9,2ec5b633,9b0a5002),
+S(45a2e88b,38c2439,53a33a6,e75c1e83,22a9f14a,bfd6e7cc,db786490,932caab4,23c86383,6a2e35f2,b9b7f8e7,a88ce40,f600eaec,af84848d,10ee1739,7341516b),
+S(ebd1c9b9,e01beb16,7504b3e2,80c00ecc,6f44e085,a86a1b71,fe13fd87,3df558e7,d5ef72b7,10fd592a,64020176,a4aa890c,99ce47c7,f3d01e49,349aad20,b6e38c74),
+S(1db6b315,14f71408,e876aecb,be1ffe74,a09b8e82,9f05c3eb,18186e9e,b461696a,c7236c85,b7436661,c2edcbb,5247ecb3,2a7d62e1,6d4cdc88,a7648b29,62dca534),
+S(51704f97,7873b83,2e36660c,59658078,5acf0396,d29e046,5717ef5d,129a3cd2,672722c0,18401e21,e053ecd8,a219a972,b57b4b1a,56a8c767,7c6b53a7,f0c77a8c),
+S(da77e611,fc5ca13a,65bc55db,af4c6c9c,43a7fc41,b58c57b2,4d25925a,99b22bf4,cff8b8c4,a8d3227a,919899c4,201f1bbd,49cdf4bb,506ad705,4c8e2f1e,a6c9dac2),
+S(e7daaf33,ef909752,654c1b25,376be54a,22d0b5a6,b35655d0,87a204e8,d1830449,718d5a10,661fda9f,e6bb3fb,a1d3718f,fed1e441,64adc00c,f752ff1d,35e4b020),
+S(ea15fe2f,cd9ae892,ff561ad7,7cd2be6,cff695e0,5cbbc15e,444cb45f,10d13269,d3d9b9ef,722dbea3,20a07f39,bd1b52f3,271759b,91bcf24a,caa6945,47d05cb4),
+S(60dcb663,ab81db6a,89176bec,5a6a381c,bd6c8b66,de4dfda2,6d50c407,964492b1,42cebc,b7972c8f,e97e440,fc64c330,e4cb21f,114b852e,6cd7dd35,e9c7eaf9),
+S(a975633c,5a609935,9c63714f,a474b40,72862cdc,1a3b1bdc,dcaf646c,1197dc9f,51f4cdad,89e63175,49c37342,d757b326,2b1da11e,1617f4a7,b0441c6d,8a1b9664),
+S(b5d14a97,7e06d85c,f6189346,bf392516,56f9e92e,3e3b95e7,200cb68e,7a9bb4d2,27979c8c,d556d442,4d128608,8ddcc444,849df743,ca3ea38d,e077f8b2,71263654),
+S(581cf880,1cd23788,8be62ec9,e99f814b,939fa6de,f4497b2c,bcfaf8bb,f9fb217,a211bf28,117f8b31,28f353f0,a3ecd2db,d35435c0,79b39b9f,2d2ebae3,e39c2247),
+S(38e354da,80f408f3,48af877,138b8b32,f18c1a84,a5323e3e,6a275bd0,34a18ffa,b22ceb25,690855e3,e4e75553,b6e9d619,302d7b8a,f00226d9,8341e406,4d5d9e9b),
+S(a62c3ca7,31e863eb,f630dddd,c75f7a7f,315b1a5d,8ebd7659,7d63294,7651524e,bd2de025,270f22d2,41927db1,b2d83c3a,6c4593b3,c93bd192,ee490b0e,b4b896b9),
+S(cdf7529e,32b73c24,39c5e793,cda2367b,8cda3ec1,12b68572,5fade16c,5de12859,34003733,4953c33e,3aca52ae,7578a837,64218bd7,661d15,e4e6b150,88f5372d),
+S(b00ee5a9,eec1ec97,a673404f,b67e8b01,26051e51,df23ce94,1bcce1d7,c9c0be80,d0ecff3f,45fe1bfb,7d7eac6d,1b27f465,80b22bfd,2b2b0853,c382c06b,df1b1be1),
+S(bb7bd0bd,f9b827ca,28e7ad35,e7e42ac7,ac667dd6,5f64f18a,2af8b385,774f7382,ca9903a3,6fab02f3,31afea78,71802d82,6e45fc4c,e7f1453a,ada65ac9,fd15942b),
+S(c2e32d40,c675193e,a8097d9c,9beec3e3,64009574,11e46e7d,520b5fb8,44119d69,63c49dc3,5c2ea496,894da7ff,d8b33e82,c70e44,d0b51caf,6e9d6235,c8d78f57),
+S(20aa257b,4fd347b,4361295e,bd969d65,60366497,bd0f17a5,5f9b8142,827081ce,c8a82baf,9b95576b,34b6b80c,2ee4669,8bfd4562,59ec9911,4b58bc74,cda90533),
+S(35095083,4f7f8218,6e0a8085,2cf56948,3928090b,84d2c068,e0c3c4ce,9819c4fc,1d0bb1ce,2c061784,35df09fb,c21596d3,2334bd77,ad1206ab,41515089,93589b81),
+S(4f731112,8d44033d,7380e5d9,71826f5c,1f1cc587,fbdd361f,be8974e2,2526a2c,69d35d5c,e051f2c2,54c8b68f,40033467,b516378a,573d7f22,8ad5e070,f497109e),
+S(34746007,54abb4c9,2b9f1a9b,33b51139,114bcfb6,ddbe9e2a,1e9182a6,ba52cc5c,29f6bf7b,7b31c57,b83e9f41,a9fb151b,744f0bf4,bd2dfa1e,5a5ffd14,e3528ded),
+S(62f72456,b06b6bbd,70c2045e,8c1deec4,d1ca74c9,aeaf68c5,52d424f9,be280edf,13e619bc,d667afc5,81d293aa,3bcb80e,fe3212a6,9750e45b,94740aa8,286c72cc),
+S(b1d18497,47415d89,7fd3b791,9e2a1cb0,e47efc1,2f6dd61b,93da9d5,99cc3083,19eee106,bf3f71ac,436cd33d,9fbccc4c,2ba50ebd,20e93478,ff0a6c9a,96fcd5fe),
+S(9f8bdabe,3e85c253,40047952,812a913d,f9d83038,d869f535,e5c7ae7a,c286ef9e,abae000c,3e24af88,242df5cd,3a3786f1,7c8f1a7e,7604be96,7495b6e6,7ec09284),
+S(c3d3786d,31cbaf4,57de58c9,c3ac3527,ff40e817,ef36bd5f,34c005f6,2967989e,b39ece7c,3e76a6bf,fd14dff0,a066e977,6565bc22,5c26d446,5d6b193d,d37dd7de),
+S(749984be,1953ea05,318445b6,52c970bf,32cd173c,3b222686,a054fce6,787f634d,43c4b03,c395080a,20d13e6b,edd78d74,7e9e326c,c267f358,43eea751,d6ae31f7),
+S(8b345416,f6b91613,4ae7c45a,de0d2ba1,75aaa225,795d94aa,4c554a66,9c08f5b,2166a466,d1ea4969,fcf766df,ecb263d6,339a8331,7b342ed1,a4fa6019,23af6d0f),
+S(af805191,730b8c9b,2ac105a7,eeecbff9,497c9414,58ee28cd,9bfc40c9,5078c366,ff3dfd92,1e3c1dcc,669a3f7,799277f1,591d0176,bd707f9a,442a219,7eb6ae4e),
+S(c626aa89,da7a7971,c7923825,d31ab64e,2305ff94,1b724334,f8c8f1aa,ae60e0d8,325304f9,926dc306,6002e743,e3ae4ab9,b2eae44c,ee907075,fd179222,5c051c05),
+S(7f6dc30c,271e6382,db40583d,acf2d121,8803d63a,41980369,316950a3,a1490878,a1224a09,8257f494,331235ca,9d0fb42c,9f5727bf,74e98d60,f624e4b9,a742c7d0),
+S(f90f030e,30cf9a10,582d022e,b148e12,d442a9fe,2345a552,564731f7,6c9aa92d,d1ec7fa4,677bcd7c,ae9602c9,2cb9a486,1ce7f6f0,9e6c53b,210144bf,608962ed),
+S(f9844b5,6b5ee53f,d41b2d5d,a8eba633,1a8518ff,4f2fb920,368a15b0,6bcb091c,165af5b8,7ff690c1,e5e44f78,b0f04f89,70b6a370,8100e86a,ee82d24d,fd10ef3e),
+S(b091a817,66903079,42158c,acdfa7c2,a42526c4,f19736fc,aa62bcd9,2548acd3,5e2c1b91,f6059ea5,5595a105,5a7c4827,4beb810,59c7fdff,e1365be1,a6c2454e),
+S(bb291c6c,a65e98b,4f075b05,becee4bf,757ced5,33d97edb,f4920c3b,82880d96,4abf12d1,e910f80d,47c81d41,ee9fc67d,59f8b4,5dbc58d7,16fe5d96,4420af42),
+S(af63ce57,fe9f7568,8422ead6,40b64638,d474f848,d26c9cc6,2b89b457,4bf42ba5,abcfd290,320b7554,fe5ebf2,2554043e,a61397e6,6b1b6b6c,441ee203,da003203),
+S(563c787c,a9c7a042,d1d8e916,fa653eeb,3bb455d3,d81d96ea,6c04021f,764f29d1,4f5329e0,9aaaa37e,997c09b0,47c924eb,1a9b813e,da648875,58365385,918faba),
+S(6795237d,a651f9bb,c4603d87,cf14d4cd,9ebdc9b6,b0143c7a,97a99cd3,2715cb5a,cfbcc0c8,a4ca9939,e7050925,43becf45,59d953d,840d2393,2a2648e2,e3ee1078),
+S(6d6158d7,3629a6ed,9437b26a,2c91e31,fb6965d7,505ed096,ee74ec84,3a95ea95,3923c2a6,ae7282a8,dc3e04e6,664c4bca,8842a0bb,95164731,5b47b85e,2b3c8bfb),
+S(88a45a7e,512c33c3,ea439da1,e9715f4f,c397125f,e26cb7b4,227f2227,628a57f4,dc384c97,bc2c5e45,5133e5f0,21c0d3b4,76680c02,41e8e31b,b1d96c71,3164b7d2),
+S(8cf77e1d,7a4bf247,18c29f7b,66946820,bae990ea,262dbfb5,ed63a701,dc2bf3cf,8d70e07,e7eae6bf,47d224c3,46bae612,329ee6ff,e39a84ff,640b25b3,9877cd6),
+S(5bf3fc7c,c212a2c9,a90cea06,44503842,d9f5fe28,fddc0a89,b5610fbf,1a38820c,1e64ea7,193f3cc6,c4c62c77,fc27d686,1aacd775,2b66b82d,f95952ab,ca6488df),
+S(74ffe6ff,73a6a663,40e6c2d,77c410c5,c1b46e04,7ff796c3,85238675,e3eb97b4,c31e7707,33d8ecaf,bfa3a3fc,6ace4cb9,4faf3eb5,445f3701,1de882a6,2a4915f2),
+S(330b3676,9e60504e,e3225ce0,36fcfe97,8b74c62f,e8ab9007,ea1452f0,6a06ccbc,cf80c153,1165f279,a718ceb4,76e90d,3394d01c,ef6f159e,1225b2b1,51bc3c09),
+S(471e94ca,1b8de1e5,eefd39ed,7b5f997c,9e9f20e6,fea65549,8ba33f6d,a5976c0b,ad5b07fc,2a5a049e,fd210e27,b849a842,749c5e43,f6321e17,18e20dd4,4d228c8f),
+S(b8133090,5a4ead1,dec7dd81,df97aa7c,daf67e09,58f16739,e5ab2f12,f309cc2e,49fa5ef2,c2a95064,4ebceafd,732fcd7a,3a4c906d,95902646,e779dce2,4021591c),
+S(b251f7a,36774d66,f98d89be,15e553e,d85d4bd3,2a170b7d,f4fe842f,d35644e2,cc71d8f7,daa8e846,5b5d6230,e2a25a4f,f92195e9,de33e32e,6970fc54,97001a40),
+S(c0ed75ca,6ee80f93,5f7d86ea,8e1bb463,c90aad6b,145873a7,2884f5ec,a18dd90e,73ca6688,b5221c2e,6e82c261,fdf19c26,fd167035,d71f08c1,9190391d,b88efd50),
+S(bdc5e903,e371fc46,828133be,5c4d72c3,3f19a203,c4800fc8,59d343a8,7c844c93,ec59e7b8,ac2b2c18,c51487af,84349cfd,f6842a15,cd148e9e,ded4202e,fa0579dd),
+S(911cc60d,78c5909,4bd95589,61a99522,fc9c66ff,68370934,40ce6531,e730fc97,8b7c67c7,b33a60d4,bf75fb25,a47d3942,f6c95aec,5a9bc3a,4e8012e1,1274459f),
+S(a5e02e09,a00fd3e8,fa7925b2,7206d296,eeff1b9e,18528376,860f2244,1b174f71,4fda8ecb,7fbb77a,dd05273b,ef51f2fb,c9abd87,eb87b9f,50d5a3a7,835e9d21),
+S(36917617,6a66b671,684334de,9d6434fc,269197ca,ff36b95c,e8f36870,6e475e8,dfb20c43,78817585,552cd193,2b45dc37,b66a63cf,166560c9,746a9f82,ec3c4fc5),
+S(91ded03b,67863303,92abd862,c2f2e870,80524c2c,c0940a0e,820c55f2,175d7533,95e7aed4,46172d6b,ea382418,5f1a5cb,dc26cada,26451556,81b55f08,6bb82f9a),
+S(7d5a3667,26e40c76,923867d8,6a5b5cc7,58d84663,8a8f664f,a0b79d20,85824482,cf50b22,7f9d7889,bcc082ee,30d2f08c,1c18b2a3,7443ad43,86d6cf87,a59d77bf),
+S(929edbc1,75eb61ef,f1a564e7,d843fe72,c4a49e06,1b704002,56b49b27,7c632eb7,bad98323,4d603b,c85d2747,2e02f089,850725d8,2d905c2d,12d1e730,24bcfb7d),
+S(179206e5,861ca493,b3336805,4eb8b46,3a47a189,d4210ff4,5b8f29ce,2b8b593a,1abca34e,f7c9b56d,d72ee602,713b8fdd,ace3007e,a88d774d,40a6aa20,6c1c3e69),
+S(e3548935,e28bc944,d29928a2,935e5bbf,a0285c2,337dad5,3fa40a07,377b4de1,2a886052,358b95a9,c25af629,e6d5d2c5,a7dacc44,eb6108c4,46c07af2,cc3977b),
+S(e4092cef,884cea2e,51a5a82e,ff8a3ca1,6cb38a71,142ea0cf,476aa293,f9e63303,bac63e08,b0d90160,d8d937c6,ce0eee8f,c01af5f8,a84d2970,ef2c9f8b,ad1bda9a),
+S(fb1294c9,c564a667,6bc88f4,90ea39ff,e2dba6e5,4165f6ef,92c90675,138c82a5,9fa392ec,ef922e7e,6bd19f36,99682069,19e799a4,be30125f,5563d3f9,46e01132),
+S(ad376df4,e6025dff,693bfe2a,665a09cc,ba64f12d,1b4f9d5a,11e0c880,ebc745ad,fa246c63,fd5f84cc,d104c8b8,ebdae50e,3b86fe7f,976c4a95,c94ac06b,9c6df68f),
+S(8f723cda,9a28aca,dfa0f86d,fbf2a831,700dc839,dc40392d,61904711,1f7fbf13,9bddb64d,75a288f6,e92b8838,5affe05e,1c07982a,2c9a8519,d20ed505,7acbafbf),
+S(4a674fd7,4ef0139e,d151a994,ad3f859b,aa2c52fc,7766361,949ff86,a1159bb1,f0e5ed3a,ee6a94dc,a2b7a353,dc42801b,faddfcb9,4f1d5b56,f606d77f,ea4df16),
+S(6651b5c,307d465c,1fd4c0af,c6edbe5a,e292eaa8,417db4ae,82b53612,66c5e7d2,5d02e21b,68dc7c4f,414c0cc,650909e7,cd46add0,fc91c7b7,98e00907,2ab85c35),
+S(e6229fb8,c2a0a7e6,c9aa31fe,71e75cd2,292dbf2d,2c5461ac,a57bf13b,f57c073d,86aef20,5c78e3ed,6cba8445,49aae8d,cb548182,f31714ed,ba2e0b02,2d594429),
+S(aa55bd38,39e91fd9,a6080dd9,46b441a7,193ea997,b1e6f72d,f735c675,56e5d7e4,66eda908,504bcd50,19a3b220,1a16f7ee,3692aeaf,ae8b265b,caedff43,19abb2a4),
+S(8932bd7b,b1d9bacd,2fc5aeb0,6ad7dd4f,989a8417,793d2d71,b0c1ed64,592822b5,72cdbd0c,56b29915,54b68484,b75dfb3f,fe04eef6,5d522c55,d1c62bc8,8615f9da),
+S(10f3bfd0,ee76006e,c113a1d3,37a5cdca,3601da68,1ec1758b,d1286304,a49808d4,89a27069,cb6bcf5a,8848d3b6,7d65c529,749007b9,3143b395,87318e90,4cd4b53a),
+S(dca42b0,8e19ba70,db8bfcea,e52da664,956a3a3a,fff18dfc,6f9d4ee2,7194cd14,f6c76a86,eb3008dc,206d76e4,94ee3224,d345f4dc,ce44b54,fa5810e1,903a073f),
+S(1251d8e4,9d6c61ae,a266acdd,53be9579,c993ceac,1c62db42,94a4ec65,e942b305,2a722ec5,5f800261,a937883a,ecada795,efa50c56,f12fcee1,20f81ed0,269cf5f9),
+S(28b48ca7,c8c57bcd,4cbf70c0,81e46910,d1964ad1,af2e2305,184c3e2c,d7a6161d,3a7a1202,90d5ee64,9c4c1bba,d43d7e2e,6a5710db,924d3943,ea06a6d7,ffbb3bd7),
+S(675a33aa,76d1658c,54a956a9,2e8f6487,b24e1417,a179cad7,c0c93cb7,6f8b7f50,8bb59b9c,94156814,a00d2621,d0fc87a1,be4c6165,33704160,82e825ba,62845cbf),
+S(8b5b6b75,1d7bcd6a,dcc0f5b2,6e231abb,9d613ae,f80a561a,51463d22,e0ce9acb,e0b17875,6c146090,fb03f5aa,b952d904,3a0b45d1,d1a66b8b,3773c94c,1c657ba1),
+S(35b8251e,bf562c69,2e0d11d9,dbe01290,fcebdac1,fdb9f467,9b5c2094,9a0517b,82dd2707,cb4b6758,ba7e7b09,cdfddbb0,11920b0,9ffae6ce,d3ad2e1c,648eadbc),
+S(a9ba52e8,4bd13565,1ae96df8,bbddd59d,628657c6,2e0a133c,e2f59a01,8c8efad9,bac10321,1f614972,70c26dfe,47060b9f,d50764c2,461c9bd5,11bf502,a0b83d28),
+S(eba36b0a,c20fb216,f8a4d8bf,ff21a478,d80389ab,51d6ac20,df5b2b41,834c56e6,60440923,e9c15c5f,72b7dbe8,5c3c13cc,58fd4ab3,a9a99ca0,372dbdb4,d4af1658),
+S(e47ef3bb,b6f8cee6,11c05d2c,681a7fe7,2393628d,77f93adb,b875461b,712440cf,30989ca4,57112c77,2c2cdfb8,bb9e3751,343e8455,6ac9e86,db43920d,8c20d3d7),
+S(36b0132d,2058e379,c9b1b23f,c13de925,ff61d8d3,4e8c37fc,afe17d92,670fb23e,5fd9aa2d,43c9a6e3,ddd8752f,9a3bb676,c4049d3c,f849274d,34a60a95,c4c19e0e),
+S(dbe78ebf,6db49199,70c4f04e,56e62811,d0067aca,b05fadaa,bde4bc0d,bd2b1dbf,9b40dc7,b2a4fe2c,cba721ee,ffad0810,f909353d,ac53e731,945e418a,2846a8d8),
+S(19da9bb9,e0b2626a,c9069f24,3292462f,2394e209,82a7f8d2,fd0bdf26,ecd61d00,3dea2ad6,50c8006a,f4af6848,56348dce,53d56d61,d7f03cf7,aec76a72,559d7c13),
+S(25d7a7f7,24bbaa17,83b79913,25ab7c40,da5f3d91,bb13a8b7,8101e970,b1295790,1b675e72,354bd3fe,21c0884e,f0a5802e,45f8fe8d,3b0c0d92,7a53741f,231ae06e),
+S(a5ad3cde,de3d64e5,aa1ba02b,10771048,8ea62934,6781a0dc,ad93f3b5,4c15fcda,d14651a5,823fbd07,4a107950,7e55089f,fab0b4f7,5e8021da,767528c2,2e37d72f),
+S(b2c32ac6,925348e7,1adcc149,656c21d7,3343d7f9,a97fc90a,6c0ecb9e,4835fc53,a2fbf853,602cf32e,881540f4,eea48400,6a67568f,4d69f2db,3adff02f,9b687716),
+S(de3610ea,e95e73c0,fe303cc2,9b1bae4,c3ee5009,a5751e40,6e0dc64d,c2128809,83fd3a89,3e9264f6,b0d9768f,b2137665,65ddb286,9b53279c,b7ac524e,e8383e29),
+S(d91d23de,8b442f29,d0ab4a23,182a429c,299cfde5,8f2f991,53139d6c,3028098b,e00a507e,48a68d49,c489063,39942d9d,a7a81cce,6865487a,4b18b34,b1b2e65e),
+S(ef90ef91,265655f5,7d776fe1,a153289,87052919,448049c9,b3342a94,9f66dc83,a44f99d9,e9e3cc67,9b819232,14b4de83,d95a65cf,c3af495a,2e961a68,21511c54),
+S(aecd0136,83f0c6b2,d9434651,94d6d6b2,c727d3b9,3409887f,821f0bdf,ce30101,59b3d669,1952dcd1,bb351f31,aa281dcc,b5f7cba6,a612d5b7,7d3da3d7,92da741),
+S(192c250a,31468e22,56c25dde,ed840d9f,e9da10a5,b9dcd4fa,505f418b,9993c86c,e311e20a,cd56146c,c03db59d,799a1d51,e3955b72,7137daf1,5dc8939a,3e7d0f85),
+S(85aae3c2,2a26d60f,c14c46f3,d789cf89,5b23cd96,c4515ba9,87609fd4,dce41a3f,54bcad5,166281d0,bd33587a,52a16a3f,13d7b1e8,8bc009e8,7c4f59d6,e13ce99a),
+S(24dfbf0,c22d29d,bb3f59eb,27dc89da,7c0a83d0,7b42445a,4993e205,43a97bb5,64858a97,8471f3fa,aa838ff1,b3ecfef6,1d47e3d,bb684028,bfd6c194,dfa05928),
+S(909ff9e2,d591a673,40cc7df0,e73be5c0,ce19c4a3,24679306,995f6344,bd692f3e,5b956095,a5d4598f,9dfd693f,893ccfc7,d77adf8,bdfe9ccc,8497125c,1c07046f),
+S(fe24c76e,900f320c,c41bac2,e625293b,ef871944,b0586680,3e0848a1,e15a60f,ae054925,3338878a,b1e8d268,b6feb271,512aba65,e7e8b243,7fd4867e,74b5fc30),
+S(7704fbb0,13a7ccb,5b0c73d2,cf6fd87c,ce4c8d8d,f49515e9,9145b3aa,e02b2d6c,21ee85ac,405e2cc7,c9fe7a8f,7b59c71e,82dbfa33,bddbf113,64435f8,53139dd8),
+S(e136bd1c,9b7cb6d4,aac07f42,1f1da3d1,eb9a8935,dcdd8097,7c137daf,869d7c11,c9d44b0f,92b5e04d,aedb2155,eb1930ea,802b205b,880db2f8,62575a48,22acf521),
+S(c6efeb81,850462e,72ae763e,2c1d2f39,741babf9,5b7559bf,c28d263a,8944aee8,f6bf9cd9,413259e7,85490c49,cfc74576,c23bf0ff,9599b877,2acce426,1d3e273),
+S(5d09a4c1,1c1d913d,d83c33ef,1377ded6,7affae57,899b5742,347291b7,c434edf2,15a6d501,a857e00a,ab42d1a0,525089ec,cc48d185,7f5dbe69,e3687bb1,2982cdf9),
+S(9989c1ce,c3865ba2,41cbfe91,1b72edd2,ccdb8b44,9a837284,730b903f,b45507fc,81cfc11f,e8de5fc,6f850c66,21bfc5d8,9d7d2bb9,e8b9b2a,dfd23f8e,d2fe8d40),
+S(c8d0b073,2930e2db,f149c156,c5957f79,fecc319e,f4abe588,860dd44a,d74779c9,bb96deb1,e23ebf7b,afc79ea6,ff7fd012,e2faff01,8f2d17fb,38fecd52,29aed776),
+S(7ba25516,877adf65,6719f4ce,e867b4a7,3d7bb18a,735a6043,47d5d5fe,47be46b6,f66f2364,5fd24d13,39407ee8,241b07bf,7e6a08c0,d3a1e683,67b450b0,f3eda69a),
+S(be8f83a5,5e50defc,b8357409,3b727cf3,578a270a,c478ada4,22e0cb8f,907edefa,c38ed801,1af0e3c6,55989b08,af329cd,340f469b,d0bbcbec,6504cd34,aa44ab9b),
+S(9bd6c57b,438e1ede,cfba0916,d744ef9,8b010164,ba46675c,1206d9cd,67c3380d,d15ae82c,33b85d22,9df4349,ce48b582,10c1baa,689fb6d0,51721d22,334ae972),
+S(e8927a5e,9f511cbb,ef935f7a,a90c64b1,666c8be7,1445cc8d,193ec922,1662177b,cb6f084f,a41e1bf8,110a98e3,bfaff1,43ef6ccc,56170ca5,de520a6b,381010d3),
+S(c4243e89,4608658b,df46225a,85da8f71,dc75464b,fa29dba,6d096423,81b77ea8,d501050b,89abe5df,fb9a11e1,6d1f2bb6,d081b20b,4f0d9895,70ec128b,21e2c124),
+S(582f0c51,20f5c79e,76dde6cf,624b11f8,1e9663a9,5eab0480,8d4156ea,61e70723,1f0c54b6,1cff944b,b9bbae8e,1d2570f4,315e3c8a,f067d289,3d9860c8,4885d7a6),
+S(d384563e,67e85943,67725600,81f4287e,fd7c6fdb,6e29ee62,ff4f447f,91a4882a,b90fc799,7f76171,c7a76d35,7aff06b,df5b3d00,a1d6f089,bbb2acb9,e749b6de),
+S(5655f9e3,5bdea0d5,d7d023d0,7a5d415,52c39f1,a9530241,55b647e7,e757e40f,4f60c357,bd0a7577,475c8e5c,9c6e099,1a21523e,821cbcd2,665d1ead,c6075a39),
+S(b1209637,51d5e9a4,5bfdeafc,5aa9f45c,9c29681,2c4769fe,6db03118,cf0a2d53,eadaaa67,96ecf2b9,57944958,c9fb1cf6,986f387f,50d1387b,d4b94eb1,aed1e625),
+S(bb6ad704,477295a6,710cdc87,f7df5c4c,c3b82fdc,749f8464,474fc61e,b307d4d6,7d0d1fd5,ea113783,7071f705,7bb783cd,a4b55908,9af6eb59,1d6c18af,434ddb34),
+S(3daa25bf,5223a09e,fbfa63a3,405e8c76,b059bca9,38d513cc,693bcfbf,514cbd95,e876c903,22d97d60,fdb0cd64,cc9ad575,cebde9f1,41d67c82,7f542034,5c7c6ec3),
+S(b32bb726,3f40831d,a8e00e27,db8ce14e,ff1ddf5c,4e48eb4f,deca0531,3770c016,916fe7ad,2726bc93,c242f50a,4e3e69bf,db965402,55440262,ccc5c055,136dcd4),
+S(a7f331b5,26d74b9a,67ff3453,2399ba79,4fdd4d1b,1b99dae,1b7806e1,8a0a7f11,786b90b0,72c5a702,12db8173,2dd486c8,ba59c937,ea9182dd,f85275e7,d6622c6f),
+S(30086238,dd36b617,f8505367,a015f6e0,2f14079,3b4dc5a4,442d8628,1ac8caf1,9b87d837,644f4ec6,c161c8c9,ae923bb3,f40f6cb9,6538c0f8,aa8c4ed9,42eccc8c),
+S(1ec0343c,f9afd13c,57ef2b2b,4006c740,dc03bb3,62ee8129,c4cb35a3,299b1ab3,8b645dc1,91012651,3df47f7a,e33f201d,35cc1d73,2184952c,f605f68f,ba8a2e34),
+S(e8059ca5,3aa197cc,3468c797,81b36245,4ebd8b86,7227a9aa,21816967,52d28587,39f9b33,e91eb4d6,fc769d6d,1b43fc0d,ee8f1841,8c682c96,5beb1e7c,9280d23c),
+S(fbdc998b,96eade37,61e0b0df,a6c4fa5f,7794576c,91d5dc52,f9753e3f,748c5afd,4789bbef,e1f68f8b,2058e41c,c513858a,29a48cb7,be41ce56,248ffe3,996d043a),
+S(3ab5a2fb,fbf2acf8,2becd224,4239ff2a,808aad64,41b1b47,1aaa9e67,12bbc29a,d20c99de,14e44cc2,18a42ee5,34fed723,25f225ac,8c68f2ab,d6c19341,5921e5b3),
+S(94b611e0,63334b9c,195ff7c,894cabc5,2ce902ab,5b17a572,1a697c3a,8a4903d6,d8d70dea,a7d8fadc,da7eae42,3ea8cc29,285c32c2,30a8731b,52710126,dd03769a),
+S(2cd6e98a,65c1ec8,6596781d,4239a71b,8e0c8a0,4c3dd8fa,c7925a07,2c246e3d,67bb6602,75d229a3,a28f51a4,a19cf6a9,f138f72f,5bcc2ce7,c689d699,b23a59df),
+S(500f58a0,e8929d68,f4fd8e13,5fea7e6b,afb562a6,ce1086a1,19871799,c5a4f2c8,80924142,bbe02b2a,7decc045,23b6c132,af14283c,6f715abb,113a12ac,a92b4205),
+S(4c1ef59c,5030213b,dab7be6b,c3f4272e,b7d4e07e,981a3160,cde6797f,821c507c,d878f643,a0f82a73,d7c9928d,ff243584,77475dbd,2076e7af,aa1c54ee,e66ce565),
+S(b69d8ca6,6b0dd8ef,df2e7c11,1dbf7876,a3ffcef0,424f1943,49256446,78ff24be,1ba714ad,96ba9f32,456e4288,5b9d018a,f3cbb43,37e5a0cf,ebcfc5db,9ad76c87),
+S(53def7f5,bbace323,cb0a38f7,2268fb93,1e4f546f,a72e5b5d,2d5733eb,6d39dbb4,1533c9ca,5c0142e2,e1e1ec89,d0536b,282cb784,7ae5245f,ef978581,e3aee5ab),
+S(a7f043ca,731d58b4,c5048ffd,12028f94,bbcfaa96,efc52a94,6c78c42b,748ed508,8ada0d66,1aeb2b7f,36eaa00b,56424547,ea5af2c7,954b8801,9e8e62ef,ef9e1832),
+S(7d3609c7,7a0cb4e,5294c831,d05d9028,e1d16d60,7495da06,b241a87a,23fb93c3,9ade4159,fbe98e1a,41297877,383f023b,5a7973ee,afd17af,65ee4753,d24a4f9b),
+S(a488a3dc,20442c4f,aa127f1e,28d85b20,5681be3,311e5063,c7a2a356,1312569f,4325102b,66f100b5,7facdca1,7973b3a8,f9cc5d97,3f018e4e,7d035e5a,5d2549d6),
+S(9c340a46,94b8bae9,d7e6a922,db9c750b,3089101e,946c3e58,88a4222b,42a05d9d,cc580dd3,679db392,74ab94c,d054f264,42c9ff72,5cf5c1c8,a485a48f,8f571ede),
+S(44a788f2,c070a53,5c4111f8,6cf636c4,5ca83338,e0b71781,44e7c542,c289480a,99d57358,ee53d719,9acf8ee8,b679cf9a,5c44611b,bc17a734,caa914de,25d7b22d),
+S(3039da67,d1d2a063,9b92c0c4,c7c6f415,c142acdf,ce21bba1,98de3bcd,ee9bdb9,c11845fb,32021c59,8d7cb0a5,a7c3da2c,851306e2,75af5398,e406dd34,fb5b167b),
+S(6381f67,a6f5e9d9,535ca436,c92bb8c2,9d8eca9d,b335e159,fccb4609,484d401b,9f480076,aa6715c8,2fc04c58,d30cc445,156b7d9d,b1e4c1f6,3744ebef,5060cf4f),
+S(7ab7ff64,d2955841,1872da55,7ed988a7,ba182fef,480d36e8,3b65f1f,cf0c0c3d,76262668,bd45b55a,dd32839c,591b6a70,9e4e7ce6,e9fdcf55,c78e9e83,dbdd6096),
+S(668e29f,6b3dcb44,14e4c22,cc2fcc8b,3a20c00,89f94ad1,3f279c1a,41d7df7d,4afeba02,4ea185d,caf130cf,f7f12af7,7dfb3cfb,1871d641,83dddeb8,86545563),
+S(9fde56c3,ac8016f6,ef6dfdc6,da621198,501eca9e,377c594b,e063b24,e0721dd0,dea4c586,233873f0,3ebab8db,900b4c21,6df32c7e,12b1f1a7,be26d46f,880022b6),
+S(70f3ea86,cf318a63,e44ab07e,a4cdb22b,929e42a8,9c1eaa0e,a0d56bb7,a9d63592,eacecebe,3e94160,bf370703,2fbec0d8,e83f5bb1,429ecb12,4f11974d,913d4332),
+S(68794d4,cb77a07d,f2d09cad,7b14c8c6,a8c35da4,9cb9be35,ec6c19d0,a3e4fb6c,aaf0efb4,5be195f6,29b8ea14,ec137e33,f14cb692,b3aa59f5,a71bcbff,d8511633),
+S(708c3036,27cdb4a,58ec9884,6c23e392,e7d8e1a,c7c0dbd9,d640dffd,23938a24,113daf12,a5b57f22,fbdebece,3727474a,8289c4a9,2474135e,13970c7a,d3802084),
+S(c74bba7e,2d764df9,e6e76441,6b40e019,5caccecf,75c8f0b1,fb3ca353,2236cf10,a97b858d,1ada13c3,3ff98a0d,404e3e46,768ecac0,b224b965,7d620c3f,ce3aad05),
+S(186dec13,501477b0,dcd69175,c57d33f6,264603be,256b3029,b5f9dd9f,fcb5ceeb,59a646ac,96924f8f,cc02e6b4,14a2234,f49d78fd,6b64dbfb,f8baa0d,8acedc77),
+S(94486ee,b0535256,ecdcdc9,576faecf,9cbb7c12,8286352c,3f3f249d,458e8ddf,4e5290f6,bf22cdec,8f7d4617,531562ee,f7402174,b13d149a,390fd9fd,17ec3e7e),
+S(304f7074,5b9561c0,7facf83e,8e593af3,cff8d174,2d2472ca,bcc08ee2,9b7617ba,77654948,8a95197c,612d6bb9,20e6c9e,b2c2236f,5e28ccd5,6744152,f46ddd9),
+S(97046baf,d42c5a5d,b8b892cf,7c36ea67,86dee4d7,bffbd572,20f9a122,26038a5d,7ab1305a,103c1cf5,a77f298a,489db57a,2c9148c3,6a834da3,ee108971,8eb3d43a),
+S(e4b52916,3f73e5e6,45c44686,3b786f53,46b048af,3d1fef24,e80ded13,ffd89b0b,7409a638,452fe0a8,7f1e717c,b0e3496d,14b9e3f3,e6f4d048,52f622f6,ba4ac2fb),
+S(b9d303a2,75452bee,7800cea1,1c06db97,4057adc5,62bf5aa,41c34e5,18f5ee9c,4c818cd8,a24b7775,35ed8738,bdd8d45,76408c87,ad172563,6c536ff2,ce6475dc),
+S(fc459ce4,3283c842,1a16554b,d5eac61e,3e4b60c6,2b090c52,465788cb,120d2295,2b2e75ab,10a60dff,1e11bddb,62457bd4,585b262b,e671f5de,84ec3bef,d5b0b232),
+S(19828f90,5f901716,bafd9bfa,856e8fd9,c19eb83e,37c8e5a1,11366a77,11a26790,5bf76d98,46398c34,6b021018,6dec4ad8,c03b866b,e0edd8c3,9f09fef2,d7c38bba),
+S(e10dbb26,999ffd14,f29fb5e7,e3b3b78,1519e63f,ea0fd26b,b1b593c1,8267dfa9,c3c04bfd,799303ad,de767ff4,2baf9759,82c48d95,5f127ad1,d59ff73d,cbfc456d),
+S(2e53cd28,acba99fc,6763f788,a644e314,1df5e17e,c50003af,48206aab,d81a3396,4393815b,db8dbe25,6b0269f5,4220200d,278fa537,666b5cea,34cd8e77,854ac02b),
+S(f6d174c9,60516f44,6054b7ba,a0f82557,87ac2e94,c966762a,f7c428c8,8b9de7b2,68ff3c54,a3257f1,7b27a5a6,ee7cfa88,97493d3d,b0899b47,c56d4950,ba263a9f),
+S(7d18482c,704eae8f,c6a33f77,923d9063,eb3e8e5c,28ce3d3d,8ffd3e17,ebb82881,a126d78,eac1033b,a223cf66,81faaf93,bf523dc9,409f03ed,abcf241a,b0a6e3f9),
+S(b2c02f09,b930691c,a017197f,bfefa1c,bedbfa2e,640a66ea,fcb1c11d,f574d9f4,19fa7f66,cead7607,d404c33d,2491a6eb,ea0d3b00,4ef41bbe,13148508,b0a9d29a),
+S(253d6786,8bf2626e,acf690da,8a26d777,bf9807ae,ccec3804,e1b7808,bd16ab91,145f6933,f9ba0d51,18eb8985,43a01106,bc702915,373bfabe,4ac970c5,27c17a00),
+S(6e496a5a,28a74cad,4b4fa30c,48dcc62c,3f4b4fa7,e8151a10,3540aeb6,70c20d14,c7884130,274649e9,4e61623a,ead39ff,ff3b8a4,526509b7,7ae8586b,fe315ece),
+S(774a8bed,36e7eb32,8e89734a,e5c0568f,f1659e3a,73890010,ca4a0e6,dd24a4ad,cfdb3a1c,1d8bb371,2e8f2ca7,2c578568,9db680a5,68c18e5d,4e423b84,df9fe798),
+S(59bc8e0,e63848e3,79e0912c,4a0c9572,10023a93,a0dc4303,7b3b9e1b,7b834762,db8ceeae,61f6adf4,ac08c5fd,586209e6,f4879fbd,6aa9a1b4,4c67b4f6,69eabebd),
+S(46659043,eed0a625,42513ca9,678cef04,2fcd952e,29be4926,fedf79ff,acc8b686,3a5f51a1,4c9fd813,3f11ee7e,6eca075e,f90c91fb,a10fb251,250b4cfd,9281082c),
+S(aa92c411,308d9d48,fb62d7a1,2999083f,c52b5d79,196dc91f,e829ef04,41745aa0,d70ec349,f27a1393,ba8d57fa,968974ee,ab0d8e81,a497415f,d38e156f,bb029864),
+S(36382200,5bea75e3,8c2483f3,eb95f6b0,a7f53f10,32bfb1dd,537cbe0f,4049f56,c9b9c28b,c2bf0056,91eb3e99,2efd5bd4,ffeeffb3,e7fed235,79af40e0,961489ad),
+S(c3e4fb46,e400fd1f,e106c056,838cfb2b,c1cbcd66,ac9c19bc,e7df1e29,a7bd25ba,96b6c598,512215b6,a30486d,9f8b0c91,4589022c,194df5ee,30d62c2a,b9e83fbf),
+S(71105f47,e372fab4,81cf29b0,ab5605d6,84c00224,ae1b9449,7c8d3c59,26077cfb,f7218aaa,d2a95c0,55f30f69,3fc087f4,101f5db1,1c9ce88a,629c5711,a1f1ef51),
+S(676066da,6bc50ae2,e2e46f61,dea75ac1,12cb085f,2f00ccd8,5fef1e47,56059f3f,ea9e25c0,6c19d572,8b4bb333,35e94202,d252b9d6,33a1b04f,a7b4129a,2efa83f),
+S(2616418c,11f5536b,c8873830,9758a819,f7b30e86,f4a16f90,ffde0685,e91a12aa,80b92bae,591f59cd,8d480401,644ac3c,940e917b,a32e7a4f,f4a2d5c8,cc417de7),
+S(3bf5d07c,715fad35,45ff092c,18cee285,3de0d50,c9d68225,3596eac1,42111d18,e382d006,2c4b4536,c6432557,afd0b909,fa047ef3,1cbf2d8c,1eff9ea9,9a95fac0),
+S(5e9d4316,db96d6c0,a5247809,8b22c654,7d873b1e,a4089071,86f81da8,71d057b3,e22c05b7,dfb5dc29,c07a735a,31bed0a3,2e071de7,41d734cd,dadd832,1dfe56d9),
+S(3c153e81,e6ded587,dff1c8a3,ae5758bc,58c271ec,aa9dc005,1441ab2,a5aa123b,366fff49,b67b57f3,84b5f027,83b02d5a,f731f3b5,c6e8c089,949a0f2d,998636cc),
+S(187518bf,347b87e8,e9955bca,b7937e80,7c41ef41,97511d9a,daa50f3d,9f628708,15f4ea6e,17a6649,36a9c04d,c76ed314,64632d23,6fb6a9c9,2aa0a4ca,afebfcc9),
+S(edae6892,ad2cd7b5,9f559f88,b2d72fed,6bb27aa8,c7351194,388b38eb,4af9a6ad,e97c8ccb,225f734c,8416c605,52f24689,fe0e4f10,2d62ceca,d78d9ed8,7bf3c3c1),
+S(e8bf332f,26d4471e,fac8264,2b3e3cf0,6c210792,ae39d343,d7c7c4c7,46ce79ba,60f53327,95e2a862,f6d82ed8,5e2d652,70fdfbe5,8118033b,105c3c2e,53257b73),
+S(cd1eb398,4dc73522,e791f8ca,ac528da1,bf9c908,e446fd9f,7bdf4016,51138d2c,8a845cc,74325e82,14be35fd,cf520f3f,2a64240e,18d85bb2,18d97d0,4cc6b366),
+S(7d7bed7b,2dc04b84,5b9b8460,e366d1d7,a49d87f4,45998a12,b6e379d9,461b035,bb7faea9,bd2a992e,1535cbcf,bb78b955,f89d8f81,ea650384,75399ea3,fa63e6ab),
+S(b9de73cf,8fe63fcb,56b992c8,668e6368,7672c856,1e9be11c,9de51d7b,8eeb6516,c6884b86,8e115321,1bb98a8,1ecc8165,25a8600e,69155f49,fca83e5d,7dc8e0c1),
+S(b5622f5d,2ff1b4ac,5b1a675b,192dc2b3,595a43cb,1120f249,fa55f7a2,69e15b8f,d8f3afc1,388938f1,25c3d4fb,fae7bbdc,93925fa6,e46298d4,e0d7a3c5,451ca1b4),
+S(eb0e1fb5,8a74273c,c8912e76,5f150947,2cc12c33,2329a24,a7f7423d,83a3a049,e3b4fa95,1b958a1b,92b3596e,9e8905eb,934a121e,f15cf758,a5112575,4702caaa),
+S(232a33f5,72cf2459,fe985373,2de8fa5,df1efe7d,32b14eaa,43190ec7,6a9450a9,144ca6c,7a114e35,37434426,699433c1,fb0cf4a8,bb9f65c0,14011849,f962b332),
+S(e32e4c4e,b57ee32c,173f08d0,ae571335,cf4fa22d,d32e7754,740f174c,d8914ac0,f0669f6b,12525ee7,3d1a6e65,af27124e,89df20,5829eb27,2bbef862,ac053ada),
+S(d89046a4,a915391c,856fba77,d4699c48,2b72200,4efd83f8,893fcc1d,f944e2f6,72595560,28e14090,c76d1219,9d133bb6,156a2cd3,aa5df1bc,c18c8b58,27a2ce04),
+S(ea2fe94c,ff11c532,6c867e75,7544beda,8c39bbae,c3c2b8a7,62c3fb5b,5dc0b23d,10b02985,baf66352,e86f6e9c,a2c0cdd2,cda7ef48,79460ac9,d58f3a61,16663437),
+S(71b224c3,7088851,25ed762,3caf674c,5e3863dd,d5eeb116,29a056e8,b054dd79,6002d88c,2fe7340,6dbf9c34,40eb5501,3a3757d,831e5f96,b35605fe,47fffe92),
+S(29568f1a,11070ddf,bedb2f41,10246352,cab977f4,dd6cfbcc,be397575,dbfd270a,a68279c7,440fe321,fabcd58a,f7ab6923,e0f627c,909d6ecd,d009d130,aeef7b7c),
+S(57badf5f,dd22af1b,11dcd60,e875d9b6,86e043cc,d4ff11d1,c91089dc,cc8230b9,7507b060,bbca59a5,aa19f813,eed95faf,8569dfa7,6d2bc327,660a06ba,8fda2b3f),
+S(30d84aac,10a7b86d,d55fca2a,377e007d,1f8b8cbd,4fa9d7a1,4eadaf8d,d6481491,cd1df453,b553de9,1ae59e95,d08fbf64,eb9af82a,d0d4fc46,4d1574b4,f9131a3e),
+S(79ac7c66,ff73d627,62a749be,c66c589a,67e33546,7a13709d,d72d9a01,98ec405a,803f34c1,e8b06902,52a3805e,abb30bd8,3942f1eb,84433ac8,57d22cc6,4ae0b04e),
+S(6700636b,cf6a757b,8afe6fd6,d26def0b,6ae61da,ba7c502b,2a34301c,203af68b,91fbf4a4,c94105fa,8fa7de5b,6b6ba4a5,f34d677e,cf732db2,b660db50,e6a654d8),
+S(84ab5f25,501abd97,a9d56f3e,5fe50bb4,4c2baae,85509b98,d38a91d9,74dad801,2dac84da,6b805b3f,6ab306df,22e254bf,d6c14574,f0f42be3,8d37cefc,38dde8d5),
+S(e372663a,7464dbf5,48f0d0b9,c91867d9,e76ebcc4,ccae7105,7046b8d5,360365cd,6e80f9a1,21723a6e,da7dc2d9,b82afb01,2e3b1712,c7ccbd3e,2fe5b4c2,270e58de),
+S(4a9ea0c6,57e21f97,9641f891,8975dfd0,28118b66,c9a2d38f,8b197a94,bdbb09e8,815246c3,2173ced9,13a82877,393df34,f8de1b75,c2b42abc,7dcd80c8,d19f1b5e),
+S(a05157fd,f91c475e,97e110c2,969869bd,31435fad,2aa242fd,c4ac2e3c,c845b0bc,76d82bab,176ca9f,c3cb1b25,541e0407,91b79739,2581c4d9,fdff832d,3685ac6f),
+S(bbd11f9a,62d74bf2,49e4831b,fb253ceb,8e94eeee,bba1d08b,b88ee5ea,53e940c4,762540c6,24e7ec7a,487586d,727949bd,d4d7162f,b5d1dd69,3a10f6db,f41193e4),
+S(a7fbbd53,62d41020,6fddadf2,36782aaa,f33d5945,5bc00106,9ff41bd0,41cc53b2,aae57e60,607a0d7f,5d12da7f,62a51075,5aea3686,5b12b678,3d27456b,6a2f8a04),
+S(6d984c7a,816b611c,8731f553,2ea1e6ed,54717a1f,4163ea72,9825bbf2,814050b9,c551d373,8b815e9b,5256a8c6,4152db2b,d8bf881e,c10254bc,a584f7c,f5dde7d7),
+S(ccf5595d,81440526,6244e5fe,87eb293,3dd5e684,b90d58c,1eade733,e7c1d2e5,862179cd,ed77b0f6,1adc0f6b,334f6942,94d71057,f42a017c,9920277,3021dc16),
+S(e0b6855a,e19ed610,51c9fa8d,4bb9834,a27e999a,81d4584,1945963b,8c5ba5cc,9626aff2,cc89288b,768fe91,3ffa5ca6,8a99b9ef,d904677c,fdd02892,815ec4fb),
+S(4b3347b9,62a0b644,4942cf83,a30420c2,f164bac3,7aea2003,ebe5d232,58dfa3d3,5e38a814,d2ec02b9,7f12afdb,ff857692,e9ff35e1,1ab85cb1,613393cd,3e36b365),
+S(646ffbff,5ff88f03,863722db,f554d9d2,64a4e14f,d2ffce79,d9f965bd,aac5c401,335e01bb,bd97b4c2,36d18b0f,53ff37f7,f5fc39a4,79092a76,1c159e56,c2162340),
+S(977b9528,ab51f6b0,1e7a33d7,2a85216e,e5fc37b3,c0acb9b2,de3ecdef,38ea1e77,b16d9644,394c5ea5,2c7aa42b,543763b7,1b4d284b,a81c2fc,e4866d87,b1a65234),
+S(3e80074c,b8c8b1fd,3dc97c7d,9e79fbba,1ae672fc,5eb43b3,c1ca69a7,8b70224e,6069492c,139fbced,707c65af,1e97270f,818af208,738a5b33,f73ee222,a90feed5),
+S(15b035b1,108ad096,a201b0db,5cb152f9,793f9355,22e8d68c,adedbaf3,eaa1824,a95eee2d,e2f7fd5b,1d07c262,d07837a2,20683b29,805cb5,a19febb8,424a33e8),
+S(e195cb6d,d4c21ad1,f054188f,31664108,1f029be2,22850118,8a6464f0,a2a93449,9d1babfd,9848c2be,15c89136,a3aec42a,8f85c2b,f91613ac,12db2737,b6bf41d),
+S(1a309895,5513c42d,48db553b,22e27fa8,7d823df3,2ecdbceb,45ddb4c2,8d874bd7,69c52bdd,8835d6ce,99e3afa4,259c1513,4f988c24,f64fb913,c9353775,7c86df9c),
+S(83aced50,fd6ff475,e135c85b,c705cafc,7e5eea1b,c6b370b5,728ab888,54ec74b4,d0ccd0a3,3e276d64,90079d05,4aad8732,6de6b6db,5e909fa3,c2546d4c,aa9fed40),
+S(f2619c96,b0e5ae71,fa78c661,b40f321c,f96d6b25,ad8cd2a7,53fee657,4d41b147,9ff732f3,4c68e66e,6940e4b0,e5d0d94f,f223d53e,6900c80a,eeb60778,1d64f77f),
+S(a49c15bb,3f6c8aa9,11117942,9f609456,ee4380eb,3fef3073,ab0f6c1d,33a4e3f7,70874663,301c27ff,551962a8,6c561ba8,6f1b36b6,20325864,a76faa52,31cbfa26),
+S(e96fc9aa,2e1032b9,2a9f5263,4c35b7d,f583ca,fe774756,97c33a2f,703197f,54a1bc34,1fbcd484,34d1254c,73b9533c,8cc11db5,92363fff,10a996a,864f79b8),
+S(64489edb,18791a7,f1f4be16,ac93de2d,e5445cce,ff8172d0,bb467dd8,e7971d14,5c343cc,b6723d79,ec75ad08,69aa1308,4180518a,679bff85,6e8b0e3c,21c41115),
+S(9ef3f569,84c53365,8bb39b13,9271e54e,c5d376c6,f9f533d1,adf94921,ea7c066e,f87998e8,831d20ca,1b611314,7e426acf,768ca63,f6b7eabf,a4e6fca0,ac33c377),
+S(5391ea1f,ba16db25,999f093d,c8308dff,a2ef9aca,17cea315,6c974bf,28540218,36dc27c7,c3a74f8c,332cb471,cdbfe71d,22b12ace,a2c86e6,24104da8,bef66212),
+S(b98831ce,adac19c8,2787e84,cb443685,4208f189,b24040ec,2bca6366,6c601c5e,d753c01f,8410fff0,8278a570,16bf736d,a5ef8a0,f1d9eec0,c17a0f22,74f8458),
+S(f2f9050e,b8d42461,b8d11189,3a3de4dc,425a7468,5b34a0dd,7bd3ee98,284496ff,74dd4077,4f0ea177,ba875cc0,f8b504e4,f7d352ea,8ada429e,bd49510a,c155cb9c),
+S(e76ddc1c,179ef377,a8da15d7,8c3cd8d1,a775089b,8d542e42,1e6220c2,4390aa35,ecc8baba,1cf42a6c,87918ed9,f70cd24f,b1a3deab,8ed86640,fdc6ee89,ca7ffe76),
+S(e1c86064,1f85ad29,afbb6092,9dcfe648,82fc149b,952d1c2e,d50c6a44,13b2d5fc,1d418333,15eb3b54,9c067140,97283de5,fba554ad,2ea510d5,f1c12d83,e730e25e),
+S(9dfc52d9,e3e55bd4,2bb21cd1,74a54c02,dfef16e4,758c10c7,ccc0bc81,af509ac5,be552b18,e576d5ec,6961893c,1498253e,c1539068,aeebae6b,80994a10,8140d7d),
+S(24e672b6,905f5ba0,186acbbf,6a344c15,f3c59291,8c23922c,fc928b2,5aab8ad0,3b4799ba,9e23bc85,b622d248,9343f39d,59e80244,e25806f7,7d919504,89c5400b),
+S(e4be87d5,2cb2fc8e,bb793449,5c94b07e,65aa86a1,6f9b63f1,b24a859a,c0737096,ac28b858,a4083916,eaafc195,81dc8f7b,e163608c,1f69c9d0,87a76446,71110b4a),
+S(4379567f,ec797600,9a98d7ae,e3ae123f,dcbb167,2de5e367,bbb40e9c,ab87fdcd,9a2cd1d4,7ed65b8,c2ce95e7,451ad868,c1ffd81b,929ec58,49d82a1c,753440a4),
+S(923722c8,f0b1b91e,261a32c6,75fbb26,ba4522de,b9610173,25764974,8c8eb107,b51b46ae,8a3951f2,7d564cd3,395a6d64,27b5232e,2c5b9ad3,6419ef5,d4a5cbaa),
+S(7f749af,3301792c,826a1162,b3e86f1,35d1d9c2,e82275c2,a112ecba,bc0f374,d31fcb26,20b1f7b2,d671a52d,ccee8b1c,f47858fa,d28bfb91,475c6889,dc19cf47),
+S(c657ab98,6bb3b2ec,87c09d23,530a9136,e85ff051,4d588230,bb9a2326,b058a052,a4f46786,410619bd,60d33aa8,1d8b7def,62c47ed1,bffc872a,941dd1bf,198c8ba3),
+S(7f6ff017,2459d2cb,4f305aaf,ff17cac6,5a450ad0,d705310b,418184bc,7bd2b6b0,7ff8f3c8,782d2bc1,8e466df1,f3463a0c,a73dfd06,6cf874dd,65c8418e,91e6c1ab),
+S(79b46336,478f2d3e,60e8d0cf,2c905b8d,c0b981af,6ab4cbc6,b36d238b,9d5acfda,7a31811d,95662ab,dbbef71a,5a0672fb,eb34ef37,c39d9ef2,e6f4f27,6e1d6514),
+S(df51181e,5ad2e6a,5392c92b,14d762a3,f823123,d4243b57,21c1fa89,bdb2c386,210b2061,bcdea7ab,2e2e98e7,66fd68b4,63330ab6,9e7b1349,5a349087,fd18dc63),
+S(5d60493a,4becf377,f66ff41f,9fd3a6fd,5603e504,b4d436fe,bb53c1f6,9038b75b,83de8acc,d2fad488,aef0adad,5a4c314b,6e9ed8b4,9adf56ad,57bdbcf1,a4dc947e),
+S(f5b49912,1eb62fa2,c8db16b1,c3cc8ec,f89bdcfc,fee6c5c4,7978bfc2,16ea8a2f,5b0d4f37,8a436098,6b4597e0,a90557a8,a272c668,ec1ad310,c68e30f5,8a409927),
+S(67556489,5729a58c,719c2c90,1e6ed73c,16909594,74100b06,2f64e242,c79a1ce9,2df2fd1e,ca39c5fd,a73bc75,bb9e5ad1,ac6571e3,322b433a,1b09022f,80ac4e63),
+S(b6e3dab4,d13b42c,54238d14,4a47aff8,782562b0,28422017,ab775b2e,51baca6c,ae4adb5d,67855986,92c72c0b,c617ab63,4c65068d,d603e762,a75c273,e9622722),
+S(b62a111e,6f15ec98,6c570b78,316f8857,5f59844c,deaa7fb4,3f76642c,8bc4b064,16a1dfb,551d006c,ca3fb15b,2d250287,41c2a5,35944e19,f7f1c2c3,59b0288d)},
+{S(ca3c008e,cf9efd5f,75cc1035,f9edaa7c,46b17d25,9895b0e3,b3523b6e,eee9daaf,a676aea9,3ce9bb,128ffc34,deb96b0f,72179d28,77406d04,6d0c8b5c,3572f4d2),
+S(cda11502,15f6a502,96b3e042,445220f8,54e32a97,32f1e883,e41cb082,90e51c56,ae62e394,7f16dcaf,e5a6a54a,5beae349,a620d996,599ff570,36a9b6a0,3be63dcc),
+S(43a90be4,b0efb9f3,422e5374,69fdba07,6f746874,b513f247,854b78f6,4937fb15,4799a0ff,b4026ebc,f57c8b5c,137d4373,ace4fad2,4e2c1705,34940b03,c6a2f0df),
+S(612fbcdd,9f251b85,c43ea00,57b847fd,db78f2d1,6031505d,26a81920,e4c32619,aeb8a7f3,332bb112,fdd78825,fbaaedf1,199431df,929c5cde,b5a173b6,721fc139),
+S(a2417653,34077e0f,3201dc47,f6ec3fe5,546b08e6,4f12dfb6,3e0ce0e6,18db62fb,271d6d97,9f686ac3,c4191cb2,1a3cfc65,66471502,b9e85207,47948345,1199a73d),
+S(fc216e07,b2bc34e3,bba2f0e4,db770bc,33676cc9,1a5f24f7,cb2028d1,7e4c5f9c,fb16790c,386611bd,e567b83e,571a8fd8,97332566,6d2aea7c,903bb4a2,b5354b5),
+S(6d44d409,e5f13c7b,e51c1835,f5b223b3,801b3895,802f6164,63f5a51c,449da3d2,6389e29d,957a6961,d796620b,23ad36f0,45dfddbd,533345e6,679bcf06,9ab214d3),
+S(7783276c,a37fc014,3ce53700,c7ec741d,33c5222f,f4a10434,270fe9f3,cf70e9d3,9939b8b4,1c64a8e,6efd144c,78334bd9,33b86122,88ca1de4,22cb361d,eda16a82),
+S(89339ebd,e4693665,ca9b88c7,f0a4c76d,2639e81c,86c349ea,aab9b974,a618d2de,6fa55c4c,ae7d0246,4e6d6f05,8ac772fe,1456c5c5,2d2b008b,afa9e4e8,bc7e99ba),
+S(1ece996b,4408d,f01a9e25,7a6d8746,cdc75105,e614f6b0,5ac9c66,1226e55c,ab521d8e,effac213,38abac36,12958256,316d6858,594ddc46,9de7718f,d2714f48),
+S(9c0434e,e311b25b,e1c4f60f,52e17c5d,59563a8e,c1b5278e,595e3ab9,32ceaa6e,a56270e5,c5e402d8,a1b84f23,6899e35c,b558ad6,3a168172,e1d60cf8,da904791),
+S(87af4f94,912398cb,174965b,ca3e7e1e,957c67d7,fec69db1,a334154b,39fb41e4,5e981846,bff7a54e,ad594fc9,4cee7666,1a532bed,77e20165,12b58a3a,208fc410),
+S(7bc7f81f,98686420,9b81fee2,aa157f6b,28b668ce,440dbaa6,f7a84fb3,5f3efc42,fc60d70a,908353ff,2f59fdcb,83a02ba6,5e20e6f7,5a73f0c0,b7cc096a,9b745208),
+S(6ab61063,7567c0aa,c32da688,1d8e1918,b50a359e,c480a235,eea76e03,56d3472b,455f4f81,d6b88c81,72011644,f56f97b6,f2e0d2e3,e93780c1,ab0fe6ea,26388c16),
+S(ff71967a,d8766265,b45a9cea,ba7542df,5bd35c9c,60fb5306,4d4de071,e0157e15,edd9241f,19d3bcba,c2470941,4fe7902d,14ef2c17,b3a2cb3a,481e4238,1618e94b),
+S(9d4cc871,2f95c218,52c07b13,5c783ca2,3d9d2dcb,e8f2a78,8c9f042d,4629979d,ea4bbdfe,b3fffcad,9ff3426c,fafc59c7,254b6977,601eac7e,7355bf3d,ab7d7ffc),
+S(e19a2aa5,49b720ea,2002b863,47dcccd5,b764f5c9,9bf63760,93612d03,cb5627d1,16c930a,b0dda080,45b0c758,4ffbc063,37a9d42,27fa5d8,33f61e9e,356fbbb2),
+S(fbf6c918,fdb5292b,17df3aab,e54664b2,80e59ec,e9ed6103,e5f3557c,e7e9320a,84454694,62f6d530,4a82cdf1,3310527b,50fcc8ff,13751550,cdd6da1,ccf20b9f),
+S(f9912cc9,597a48a2,7a581be2,c72cf767,effcfaf,c0ad7a04,af2aa105,8fe1a19f,dd2c8c9f,da952245,1e9521dc,f5899430,51f4ea56,6ce31d67,d2936ad8,209eb005),
+S(52ea2681,cc2b8988,3d283a50,77ff1af3,95ba85da,3c70f20b,fd1d6652,1f9aeba,c6440e0a,8d700973,5c5b6e1c,6aac224a,76481a30,5f732630,30353cb,4cd630fd),
+S(164d8059,3689a410,d49574a0,925192a6,f1a55289,187b3c97,30030142,36d940ec,46ade58c,909d01a4,fd827090,d266362e,cf2a374f,95b2463f,e184288e,9534ede3),
+S(e32e1230,46171571,6410013d,b1fb8ba2,f8914aa9,43cafc5f,91ac552f,4d8e24a7,4af269c7,ed6218ae,6c1db9a9,4e5832bf,a29457c8,4c814d52,24dc9e2e,42674407),
+S(d57bdde2,6e43bd76,5a33cb8c,a4e54db4,df3798da,5d930148,37eb0dca,35e0f999,7a74180e,5225fec0,20a10d63,2cb2134c,c4109799,22508f5c,d86332ae,8ea7c89e),
+S(b5bc01b6,4203cb60,caf4a7c6,e48a1c25,a92d0eb3,bac74789,cf5288b3,80839576,30403b6b,2824a95b,7810301e,b467cc7,b882e5c0,a02c28bc,bae550d2,5c83289c),
+S(73b1be34,b9229a1b,bc7e8cda,6027b7d0,4c60ea20,3942fa98,98f5a4b8,98b510d1,7336599c,9aeef8a6,296637b4,13b2f22,4c5ad7d,fc00b225,9152c891,249539b6),
+S(a165d932,4b255170,998d39ce,39d392b2,cbccf282,2dc1acd1,c364fe28,dce909f5,f24c5fc8,cd8cb2c9,2bed63ea,a9a2dfcd,932915d9,dc2e9199,d2626fd6,b360f64),
+S(92eb21ef,fb8d4e26,89bcad2a,2c4f1e57,85a8fefb,e4b6f8db,c0fc1681,3618058b,7ed25a50,4174b429,103968f2,8f4a03ef,96b583dd,840c32f8,ee1e7774,3e9ced10),
+S(6a15d7d5,c5a1d77e,a7544c52,123d0e30,492a021d,3ef16056,46dbd533,e181ebf4,d4d14e77,54a5cada,520f218a,58611e5a,dd6c4c1,755abce8,6050b0fd,ad239957),
+S(75ea5369,8a9f0d5b,49a0401b,b2db3286,5a8620cf,d29212d0,1bb097d0,1547cbea,f3e1dbb3,d50fc3aa,e6c16113,1271112b,4fc78855,ea6f303e,51268c9b,2535b159),
+S(a3c4dca4,1ba14d89,51b088a,5667f8a2,f8ae1e3,e0438a86,c330c484,4ea34fe8,8113e61c,bc74488e,96fa68df,12fe199f,b0b2366,de19294a,de19ab0c,a24dbd31),
+S(be54fb56,80bd0b30,3d331242,63714604,36c66704,8630035e,191c4a2c,f69400cd,15a679af,a8b0c05d,b5408a2e,b3ddf648,86bfe8bd,721abc7b,8bc4aca9,f1eb0e5b),
+S(ff1244e4,a157e177,f5700b47,9787853c,c517c335,7dc1f548,a19ad178,f6a40b4,db21c79a,12f90142,befed50c,e9763426,b99b4d9e,f3f37c17,25abd50d,7cadf848),
+S(84038a62,5d232480,997e8ee1,5b0e04a,547e2381,74955b30,14da26ea,8aac7c1e,87552fb2,b09c56a9,a81e40d4,9fab776d,62c1a5bf,63a84e01,9b869c9,40f7ac51),
+S(50f7f61f,46489c82,2a8ee22a,7e79ca89,1ae4a185,9004a039,da3d16a2,fbe61608,6eb139c5,f399d702,5094ae5e,3035d3a9,e355e4f4,2ccad686,566d298,42eb788d),
+S(c05af73b,9858124d,8ccb5eb0,232d8821,d98d220d,f4ade4fb,99519c07,ac665ab1,7493a780,35acd676,966604de,13af29d0,3a78a962,7cf3bb3d,1b1663d9,6a7e36b3),
+S(1f480d5c,2a1d1761,ea954284,d2a072a,a66bb6f0,738d2640,4ec9cd34,bcff91b7,10207028,def341b,44a34078,f07af764,2a879d2f,a9e3a18b,ea7450be,1d3e1770),
+S(a0676e87,8944445f,d40dd575,fb0214b5,983b164b,2fede667,b36f16da,4ca3e338,6cf3c93c,9ca2fd3a,b0ac23c4,33064a6,d1a6d275,3614be7e,a72cb3ce,e9e02f0e),
+S(13e73034,7c823fb6,2769ebb3,ebe492ac,243a3bb0,2f84bbf1,6de239a5,f1fe62a4,564f2cda,316ad30f,5a552164,2a1ff7a8,92ad0afb,8bf2928,ff5e3970,9005f251),
+S(18a96b04,1592fdec,101b7df2,6dec0d49,6be4ca32,be96f54d,436242f9,8092c481,cf03371e,e4d2d4c9,2ea7ad23,db3f8f97,d1a96a73,13b70e82,c3ee58ea,f7567ff2),
+S(9592f438,339a1044,85ae414b,d30cad38,929004dc,e73fdf8,c86fa2c6,776e5bac,40de2fc4,66571358,ccab78f2,fa40acf4,d7c98188,31d475e5,556e7b68,d6c37235),
+S(bd76f4f0,b9ffa96a,1a563855,6b35d855,f07580d4,45d10505,b1e5f546,255429fa,551cfb81,d1d05bdc,e66cfddf,a4843228,423540a4,278e5a9a,55137a9b,37866d6b),
+S(fbc20168,bd1f044d,2ebddf8,a7dc1b2b,97d7399f,21d29fef,fba5f8f2,fb60b84b,d459b367,6516cafa,b6dcc1b3,8ddb10f3,8ea3ac,7f73b4b1,3052ff45,6d624c2e),
+S(240584b5,5c64bdcf,4f233adc,eb7c9c7c,41d1863a,b0ff7ba1,68f74c8,1ddff33e,221e273d,ac154ab1,f4d259f7,e5803f5a,dcb297a0,48a39637,6e15327d,fc6b194b),
+S(76798d07,c586b782,51e6accd,593a2534,70c77c59,da326d1c,f8ff561,8ab0e8c5,64ae34a8,8c9dbeb3,901a997b,eeb4a9ee,4b486c1c,b3dd9da3,218106cc,7d07292),
+S(7a9f198,966c08ef,f9259fd9,5a3a198b,eddf9f77,384b671a,cbc16ba,5465b618,abc994a5,8a0c8dd,d98200c8,eb951e61,16a553a2,27ef6e16,bbb27bea,e0191a66),
+S(dc8ca205,279a54bd,8552336e,31e02c72,909e4c9c,d7560616,1ab4e439,173edc73,b08feff6,221c061d,7891890f,be84a459,a57eb118,b67c4ff4,7ae62d56,7c158f9a),
+S(575a0e7c,dfd55dc0,f86bdeff,7ac8a740,168f976f,be2eb9a2,2bcfe376,290e9085,5f0303eb,5d8ee545,485c945d,5ea765f9,7aeef7f4,e7d6b802,184261f4,9995f574),
+S(50e48366,e86ae12f,14a9a78b,22e76176,fed8e25c,ccec2033,f85e7473,96756ea2,8af4e0e2,57b6479a,d58b2f24,2f256a20,ea30864,89b84b2e,27da8481,d8eccd3b),
+S(9c98498,d5bfb24d,23f25983,952263cd,9513fadb,a91dd60a,26b7dedc,6fb42e6,c5ea0af6,4b90d3f3,37bbc24a,c2138426,bb349f6c,d8b23829,d0ea1da0,2107ecd),
+S(dc253e10,17608817,898ca299,2d325aa0,20f88ac1,676e81d0,d81e75a3,884015d,add05f5,1d8ce337,a62e2401,399015a7,608c1446,7cc042be,2da908f9,b6ee807b),
+S(9ccddfc1,8c88e1ca,cd5773b2,b378ee98,e4ed6084,d8fe9a06,e115fd67,a6f01671,439d7033,6ad30482,a7bb89f5,425c5295,cd888c44,b0a0bbd2,7b2b0ad9,499b8ec4),
+S(3654e9ba,ff41cae8,6129545f,9207cc3c,315773d0,b230e4d3,24456721,f220e8d4,98eb6499,702161fb,feb0d263,1702bdda,52aa5ea1,867351ba,779f485,7ae3d59f),
+S(af31613f,e474bdf1,7320682e,4d1b35f6,ed6ae63f,806a7cb9,f9a47ea2,fd8a38c3,c5fdf037,2cd6f61d,bfb96b98,19819aa3,3848b84c,4b1b69dc,cbb6d9a9,5e3fd807),
+S(d8e1f1,d2913c6e,553ae630,64cf7673,437c2843,7f715720,3567b881,7552c73c,e20ce3d1,b6d10cc2,517dcd67,ea82d676,555e66f2,3ed742a0,597065c1,d849b9a4),
+S(b3ef1895,7f8f2cf3,3545a9d4,7e0c3c4d,7e24e363,85c1d680,67104d9e,1f2884c0,8c2f8d97,32ab264f,a5d63cdd,f36cc4bf,4cf4ae6c,8e0fb04a,c232364c,37b0e53e),
+S(d2d86d8a,68ff342e,a6c3c79f,42ded832,9098af79,dc2c83e,39e5a728,889f1bd6,9cd4fae9,db605e9b,fe25c52b,14d75e2c,a8c9b58f,c6c18d76,c5fca9b7,f6b9d2ce),
+S(a4ac3b1d,39a44643,b0487b6c,76cf24f1,114eac8e,2163740e,b63776ea,52432f91,b2278137,c5a81c23,e9bfca31,fd6cfbe9,f11cf1bf,d1f32573,f581d68b,5acf4a99),
+S(b12353c7,56fc4737,7d7f0383,6f6c6f62,594323f3,cb27d4b2,d64c4b81,ee3e0b7d,6813fa5b,a5ef894f,6fee8ae9,ebf2b1c1,c6298976,560c731a,df87fcbd,f916a837),
+S(5f1a8fd7,b5299929,c5e1865,c28eebaa,13c558c,cce6f26a,edfa80a3,a1450646,b043c995,c6d66c56,77f7dc03,f7e599e3,70e89ff7,899ca5e7,165ebb15,f590d867),
+S(ad4222e9,583e2afb,2c56a116,500514d1,92c0b10d,4eb66592,2334c817,623aa28a,97e34c9f,bd9650b5,a5444e2,4a04c5a0,78ced6e1,2e21f516,60a3d4a4,fd2319f6),
+S(289585d2,886d9020,8870975d,93373b87,b3ab1909,21d392c,82abb695,22681e2,a40915cd,21358a51,798e18a7,9595b3b6,b7a645cb,2905bf75,db2c2438,2ad63073),
+S(3ed81e00,a9607ac1,8167afd1,e25d80e1,9a4c1a23,69682ec6,9f40ba13,d86e818,59ce30f9,8f646855,ce9fafb,abf7b2b9,deb1be30,de5edf17,7462fe3d,66f02e27),
+S(5c12a417,91a0f2bc,42cbb301,346b4e09,d68d4720,aef188e,7ba44469,e2e63f4c,540ad65c,9432a241,5a1e1af3,2d6f8c88,8c47a741,52d6224,f3d5e486,7a219c6a),
+S(62e3fef7,6ec4db38,5010b30f,ac2803ec,27088e79,2db7f8f,72be35f,895ffb61,c0c8efdf,f9589931,14c1bd72,891e2743,b3189ec7,1f05d5e8,a0d7cfd1,753279af),
+S(677740ec,ea09a280,7968ea8d,fed5cfa0,58d9564e,8f22f96b,79303074,58015089,cec6fce,30608c7b,2cf3bee7,353be7bf,a8265b2a,a6f058bd,1fd87059,f261beab),
+S(ccb0c3cd,7d9ae81,f366e10d,c5444cb6,b713088c,739ca70b,fa214359,9b806937,4562fac0,408cc5a6,a961d8f3,92ac2566,cf02b599,7d645d57,bd81f678,dbd9c43c),
+S(2db401c8,d474f7ea,a25088d9,d835a9ec,b1ae4f04,bedd711e,154ccd12,79a5e68,654a9bf0,ab608472,51922ffb,aea4769b,29894a4e,be1d175b,973fbdd6,7393bce3),
+S(514a03c3,5204855,f4339a8a,d8894a5e,f0f7f8cd,b02d597,6d4ff85c,7a37fd1a,25d67f20,94a0f6c1,49999c5b,dd4808ad,d49f0875,882bfbaa,b391a8ee,7f7f32e1),
+S(90e74327,cd112d5a,b93ec168,56b3292f,45eb178f,5578ea2b,a51a8b03,2b51c78d,fdb46efa,92e1972f,7c269259,3ed95630,74752c76,cce15d51,c1fcb011,19b7f797),
+S(a9ef7f4f,857083f4,1eb3cdf1,76b738d7,f25b8c3a,e4705a26,21d791c2,abdcea1f,8dd007cc,7c6da435,267329ba,17435394,6319fdbd,8cdc9ce5,2250cbf8,252d8de4),
+S(7dc56b22,14d62402,1c42f6f4,f148c146,6156c1f7,7d14d505,6e65ac0,693952f3,ba58259,523d0aba,a8bebda7,dfc67df9,4e28aa03,957357d7,235725ff,bd6cbab0),
+S(11f8b2c0,a75a1423,42da84dd,4d04e5cc,e499f5e8,cefd2b5d,e73ec422,1718239f,29e26227,6ed2f32d,7824ec3b,5b776fcb,ea5800b9,2acf0a31,bff27cd0,7c8cee02),
+S(9d0ce33,8fbd0443,3de6d15b,6dc3605c,edff75a7,4cd08e53,7e078ed8,bfd3a1bd,ea0b5cf,3a63c7ea,6b17dd3,fa19139,9078d02b,760f7d2c,f56d4a83,a8f0bffe),
+S(9116520a,ff9d1ad1,e6c1031f,f9388b1,b1b2bdef,52f49937,a93752a0,75bb21d7,2ab7c4ff,47368f76,c1df0b33,54bdbee,157d7b2f,df4e19d9,d1f09c87,75d95c0f),
+S(89c5fbce,ba4859ae,2706d0a1,e4ea2956,ebe71d40,3d1eb34d,7042291e,6f584015,c3a99137,2fe042ec,1dd7c83d,4e915231,cd5ad4dd,5bdb3877,bee1f9a6,8dd368c),
+S(2f4fba9e,eba5a0a7,b22dbf3a,9867bb06,ebf3c4d4,ca5353ed,315b1752,3163d4bb,6c156492,d245e1cf,7673aa12,e78d0b45,d6171dc7,be574418,aecb9f12,3d6e8ad9),
+S(905912fd,599f59e9,a3009b0a,7eb38034,fd9ab746,336831cd,a1985ba5,37d39931,9a7716b0,3524e8dc,714c76b7,a486660b,2ab30e45,b3bed8e4,f24e62bc,d1705272),
+S(13cbfa57,515d5d33,1d8823f2,a8b5e083,19239bc,b1920aad,42d4f6c6,9934d0d7,f36e2353,700f0313,9236618a,ab0b5fde,5a8e14af,8e5e12f,47fda9c3,79ac150a),
+S(cc939020,199611b1,c97458b9,cb9494cd,a9dfb14c,a2cce863,3ea361b4,68fd0857,a33978fd,e5c6a683,90dc368f,37e01e76,e2c08a1b,512fd2bd,d71abb9c,87ab7bf4),
+S(6ff68519,e62b3e23,744a2136,2292bc79,3c7bda5c,4ef1ad09,81843ef7,183dd564,6d4676cc,baa85268,a4694ef8,55e86386,1f0f5a3c,38c8cb94,4ff81c53,c0737da1),
+S(60a82e4a,5084495a,ad08d440,45639dbb,e0c34867,6dc3bd33,4f447815,6702418c,666c2a2b,ff70a40e,c01c5f34,cca48f00,16896e55,f14d21c1,e2fa80df,d4352943),
+S(57231292,66d1532,f352005f,b3e789d7,b19409f8,cebec41,b8b43330,cef1a7,5904c51,ad1f7ac8,ca6a0ad6,971588c3,42f98ba8,6fab3f9,b07b648a,26f3269c),
+S(c50d8b68,bb031e89,131a9be3,1882c8dc,bb109fd7,6df989d0,4b0009e,cd2db9e3,10286cb5,875480b9,3bc78987,9615095,9126c3ee,c66e23e2,3b21231f,d41fc039),
+S(ea74572a,bb5ac532,fadcfc73,b85328f5,de42ce24,d79950b8,7f6e0c98,e6fec3f2,c68a3ff6,254bd3c9,febab9ba,c6dba6f,33d34551,d8bf2c14,ffc29c09,10ab374c),
+S(430f73e0,8eec3d03,8bab8afd,9b30a5b3,5008ddd7,4cb85aeb,7b836ade,3f25f6da,27e179cb,ed69a2ff,ccceef02,cd1b8b9,6591deb3,b94a905d,df9e0df6,f6e8fc7),
+S(dfd0f623,61e9baad,2fede6ed,9a6dcff5,3bf259fc,704c37b7,6b9a3665,a0296709,a9ed876d,5cfdf560,d3896579,57ce1aa6,13795b86,1e2e493f,719b8cd1,85e11f84),
+S(f486a524,89f858be,ab920853,b27e5ef,945ebfb1,def5bbdb,8a7f1761,451ec105,f50aa3d0,cc587372,a1e941d7,608c86bd,10bdeb39,60cf57c8,482113a8,d3039da1),
+S(3ddb3b7a,9b0218d0,2fc62004,33d21317,5d811aa5,a5d6b9cb,53ceee05,75341982,84017fa6,1ed2827f,f65d3bc2,3343effd,403f77c0,4524be5f,4c763bcd,d04b70a7),
+S(c5938802,42f1bf38,5f5574e6,815ea291,b13578a6,cf8a31ca,d516d3fe,ebfb1488,5c0f3858,e6dd3b7e,f68b4368,dc3b5a95,d866e2bb,fe269527,fdf4b3af,e9196375),
+S(11c60556,d6584b79,882f75c3,92e036e4,2aa702be,1f545e15,403eff6f,e27cb59,8544c8df,51e9a3fe,790fbbbe,f768e45f,c8a39319,1b18b4f5,8ae85d17,eac28fed),
+S(ab609b1,52efce6a,eaea4c68,e498d414,9fe8aff,28196efa,a39a897f,5969382c,a4f7fd94,e87c1a0b,b9502f5,438c7a30,b6fb836f,17a19720,ab07e286,f94c8eb4),
+S(7c188bb,109dc167,bb66cf50,58f263c3,ca8f58f5,66c9c0b6,b838bf9c,7cca26b9,1236a5a,bb04ef11,81b22343,327607c1,8693eea2,3c129a3c,377ee493,d332a5f4),
+S(bae48149,f37ba68,24c47e5d,1fde4ee7,14f1cacb,8cec8ae2,de547927,768699e7,433d31de,c9619480,c2984475,5e7c3813,bfec984d,b0d9fed4,f25e94ea,8e747cd6),
+S(88ec8b53,d57f2ff3,db3661b2,46989ecc,63c0f757,6acc7c17,cd0f5792,b006b5f3,9f35942c,28f0198b,cc3afbd7,b8f28ddd,1dceafa1,4db9557b,35d4984a,e80160bb),
+S(67efbcd0,b5cbc215,c453d642,d1b19bb4,437509,33ff6afa,1ef923e6,cc83768c,6575c0c3,489a7bc3,7865d32f,dd8f2a24,a4be1df3,ec7765eb,ae09f10d,342538cd),
+S(12f7791f,4b9310a4,c9d333bc,eabc3472,9762040a,5713829a,9a58bc72,47e51db5,15eba5f1,e156cd5b,409ffcca,876dc51,9f4f6e17,93ecef35,7b32dedf,fb12b402),
+S(bc145b46,130e431e,18b357e8,a47f90a1,c38842d2,7fadd3b3,58d21959,daa3effd,4a62a5de,d23f1d44,ee86ae12,a03e4a6,5d1794c3,d7621871,cced4b58,116c97e5),
+S(514fc2c,e7c864fb,b54fb8c4,545dbef7,7fbe45fc,d7ae312f,8866c608,12658866,552ca131,45466fa8,b6ce58ae,77c01a39,1f9001a8,bd9e6a4e,fb434b6b,9d63b79),
+S(7c2bfe51,f4a9a32d,2f7feae1,96fdaa4b,45670ed6,f9c02940,633680ca,afae3f88,88bb43f3,996bb5fd,ea4a37d,e8c5270b,571644db,e1704bf6,aa207aaf,cc2742f1),
+S(7710c58e,36f3ca17,8b96dc57,21acdbce,e37f7879,6f9f251a,df4c8dbf,599c6185,f600262d,d2a15427,ed6ea68,4482efe4,f57084c4,ce1ca445,8f85f646,4d954696),
+S(5d4cda56,c705e89e,8afcd145,5490d589,63de5bf3,79d20a4c,acb1ba1d,c2effa6,f6a2f87a,cf9acd28,c7b12c4f,a42bc4d2,3e5c726,1d404813,30b99d15,533cca94),
+S(e3bff796,4e38d5a1,946d54a5,5a7c9999,8faf4e08,2eeaf460,7dbb37fe,10b49bcc,7d6b4ab3,5d711881,a26d7327,bcd8eded,61cf85aa,f56b244f,58d4106e,8558f3e6),
+S(75b80f78,c88f6e67,9ff252d3,e7c10a87,c2933642,53fcf204,1625457e,542c9398,db3b2fde,be9e05a4,a722ad7a,aeca21e7,3ef934d4,372f192a,a07b081e,c6419681),
+S(4f640190,51d6332b,d29ab6c3,7511cb28,ba111146,189e4ed9,8b945e96,d4ceb5a9,626d0d0d,ef4192ba,a7874638,fcc07075,fd65b688,4615cb3e,5c63167e,965293de),
+S(4f90520a,ee7b050f,cdbcc57f,cb03f361,f950e5f5,bd723d1,33de2990,df09219f,f12a8382,f2b1a67,c9868b2a,566e8734,2ac332f3,87d7864d,23ab4d33,395c4144),
+S(f5ee8ddd,c044fb9f,babb5ced,4ab56f0,c4d357e0,69066828,23b02321,6fac446c,ec53db7f,cec7c393,d8b74749,981f6f32,c4462dac,6f0a56e4,34d52b34,d97b9d3d),
+S(69727ad7,b48c376f,cb2c4cb6,b5c0e4ee,cb1f5925,f1928599,c55c4f2c,b31cf7be,39b486c2,3804bb69,b39d727c,eee110be,966da862,32eabbba,73ef17af,1c8df334),
+S(23d1da9d,42bd74d7,cccdef4e,aa79e725,32fde7fd,b43522cc,b0c8166,1090f19,a168e435,f673bfaa,84115cbc,85a25973,5aa26ed8,86a1136e,ed3fedaf,b939e9d1),
+S(8add82ca,322cb7d0,68e98c5e,d4f66993,50a2b2af,5bf0ba10,4e012389,f90a38,cee02a7,1df433a8,46ab9f11,503702c8,b93d609,fbf882b5,6465a9ca,445238eb),
+S(874552f4,f2b5552a,b9e9dd9e,a8bcd62c,52f3036d,2b7d7a7a,3bf206db,18490830,12197e8d,de19c33f,37f50ba2,362642a3,87741090,68b2ba51,c5b13fe6,5d3b3a18),
+S(7b5e3f54,d959d208,17c7c518,62628a07,ae2ad59c,6bc4458f,467e213c,ba145fe,bc3a8595,527be77f,c8cad2b,e9cbd810,8fc7104,9eef7ef1,924255de,6aa6fce3),
+S(298e18e,d4790215,d0a82b37,b09d6b7c,90ee8408,13f6cb33,b150a3ea,d14fe41c,a2504d96,a1345a22,8e14e82a,eb160798,c7bb5cda,6ccd4bb3,74093c69,93e0294a),
+S(22bfb660,2b823430,e44d0358,300a5fd3,853577ef,79b73104,12122749,74af1edd,ee318018,3617fc09,4d3a3707,df38e9a1,bf9ec587,45e251fb,8a127137,3c9b3e85),
+S(41dcf360,e9b5b5b8,bee689f9,1446a874,5a4df0fe,1963c132,5d05227a,313d08b,103125ef,ac9a3fcf,f8033bb5,659b81f4,982a2f31,7382c0bf,b4c4a73,8479da5),
+S(71b0f642,7f6127ad,77318fe5,27f57c41,e34af0dc,311669af,fe695a46,102dba7f,b6bb548d,f92c9087,c1f0d543,2737e853,d5a03e2f,e607057,352084ec,3060d823),
+S(c36150f6,be139991,3df1cb29,3324da28,bbf75056,aa8102b1,e2be7e8,a669eaef,ec869956,1d5d9e8e,73268641,d7a7d01b,f1613d5b,145d2631,97abaddb,ae8eadc9),
+S(26c0a835,20d9ae57,77ec9e5e,af9836fc,389a671a,6823f705,6eb5562,bde7193b,1939de0f,da69f7c1,fdeba6fb,f982cc12,b39640b5,f92253ce,9c84667c,9e75d56f),
+S(5cce3427,e2cd7404,2cbf501b,2349bcdd,e1e9cc1b,d9ac179b,e848dd89,7378be5b,8148375f,ad9d42e4,6562dd11,463aff04,281c00be,12b40b8a,b97b638f,3a525901),
+S(cdb56ff0,9c36fe2e,74546bcf,44b996c7,ec11862c,a5c0f0a6,1c352bb7,771f3f7b,f97dd0c4,6d0409d7,3559d6b1,a450a8,ba5e8d5e,dc0f1a32,df840f06,20348fc),
+S(379abd64,fa180ad7,9343b3d,d2b6ab31,5534a19,dd59e25e,9a37271b,de58e2e5,512f6ce1,c2fa1202,2a6dc666,25f3b8a9,56c1a5,ccd5ddef,6c1b94c1,1c507472),
+S(8c32725f,d1fa4998,794bed8e,eafeb3d7,c24caba6,4a693aad,14055160,e0eb4df3,e91ae4de,54a8db16,bfdf48de,d3835586,ed1cb6f4,f767eb04,343cc260,c2a008a2),
+S(6f6c310b,c1afe979,cf032c40,2f594512,ab074b31,f336579a,b9e52fcc,6543e882,87cd5368,561c5897,d00a2a97,2166950,5b4f9e1a,a1aaf8f3,cd817e9,5e48df08),
+S(299829f3,2cb34343,5caa2fb9,426e24c0,5a84466,2c2aa34a,ac75d454,50b54b39,3bbd3e13,50a11a04,31b44d63,24eec80c,64065603,3960c6e8,b82b6711,d660bed9),
+S(5275ff78,3529d268,51fb398d,5559b300,ac09ddfd,39cf0bbb,e02f50d4,13fe62de,7d3356f5,a74c829a,bbd294f,cb302d69,c30fdaa8,64c1ab4b,fc734e5f,ea8f848d),
+S(3e04cfc2,e7cea4e8,4c3ca490,2ce0ff69,883e19f1,6952252a,51edfda3,6ad04b5d,39536901,283e998f,ed4ecf2b,e708d5d3,9b19c290,c76b8faa,4cd4f94f,7f05e813),
+S(58273a33,3dae61a2,71970034,3c72d8ba,697a1fd3,527bb291,e098ad6d,173525ba,c2f0e095,98d4d04,fb156dda,49676761,774d09b0,e43fc92c,7957ae66,396e57a2),
+S(4f43ee17,95d428aa,ddff7252,536a7bb0,29fab5a8,cb60f3e3,21ceb52c,410e49a9,d17315b,c0288557,c4a9a48,8372722f,ce0bfc3c,4ee0572c,6682934a,18fa2c75),
+S(b8b61408,4abbb43,10b2551a,8fbd7503,9856cc49,4f793567,cd7c205f,21cd9174,b45edf3b,ae914c9e,cd7fe61c,bee4278,5bfd96e9,c6493fae,b465e10c,8e6aa815),
+S(9ff66284,41cfba00,c15074b4,aaac29b5,c12c3d0,59009391,880db30c,69bb700d,95f71bb3,8875faad,373a2dc0,b18f1d31,cf161cbb,b1d1d5fd,fe2abeb2,e1a6df69),
+S(69176264,329a1ad7,8bbacedd,3b99a5d0,c3694973,c4a5df27,d7facc58,b25b3231,10fd42f1,1bf91b0a,a330bbfb,b598b7,be2c2faa,354e148,b3903a6e,697bd350),
+S(94546c5a,b4a5dcc1,d9a8fa0,ac117012,470247a7,913d0acc,e8c7c2b0,d98ad04c,7894e112,11e816e,a03586c0,33a737df,8e11ec0,7c85295b,1305f575,2a9bf9fe),
+S(fc476882,d286cf0d,3e29b73c,744cee4b,563289a6,c367fa59,ab3e93d2,b0f71314,8680b7ec,6d633583,ad923db3,1ee3dec9,6b4ddd95,c331a670,d759ab82,ffa07ed3),
+S(d5279e6f,62490fff,5ca2f0b6,7a8153fa,3a5fb95f,2262dd3d,4e62fdb3,bfd116ff,831b6dc5,7f16d6b5,c25c6b46,9111fa5,48cfe44f,76eeb9b1,55614b7b,aacec99b),
+S(8174add4,de57b198,9a999ac,9ccfeb1d,78a21fa4,bdbdb88f,792829f6,3d21923b,39292fef,300539b1,ec4ea7e5,9a943b18,e4cab57b,36c8fcb,47a96d0a,73facc18),
+S(dfd1f8a1,88cd5554,6cc5b417,c2c30cd3,c34ea95e,a9087a9c,cd240cd0,9d6b8494,6616b3c6,881b9cfc,cf0438de,1e9bb54c,f213c9c3,d0458ce1,e49f3da7,17c6ff33),
+S(40d6faf6,aca0880b,6f639406,a187f116,6e1d1656,763a223,cf2d9805,f8059521,26402921,86884ddb,59030708,d12a34b7,1e1f592d,b8316aaa,50f3b95,3dee82fd),
+S(a06e4e4e,df868121,9ee140b1,1d688bde,1e9f0050,cb9e122e,e12bd046,b6fd999a,76f0b3b2,522571c1,28cd7423,273e0a0d,5ce2e41e,dcf844ab,3a44b18a,f29fe0e6),
+S(8ed7e5b,efcd7322,7b537ffb,728d5c01,450445f4,5f187ff1,5182fd57,817c7e02,fdff3f74,179e2229,a680a538,73288b80,17819a8,953f358b,25ee7b8f,c2c1a89c),
+S(1b7d6838,d0b5a412,9c0fd19,cc917166,c9c351d1,33d8db84,7f39ffdb,463dcfc,c50a0eb9,a20ff1f7,67c21dde,9a74271f,2d2e7c8d,3a45251,8bd61ba7,9953c58),
+S(c991fd97,ac37ffa7,968bb26d,1793ffde,49ed283f,699b4620,7520849e,cda25769,9cc861dd,b39e36a8,c408a09d,cb2b22ce,c0302a6a,3b1ed1a9,d89f9784,e0f0b766),
+S(849cdec4,66bcc09f,9a689c,299fce1,d1b37e8e,c59d9184,3d519da4,937d2117,c759660a,92c29619,70188f0d,8a539585,88ca929d,f9468ed0,3be6d6fe,cbcded23),
+S(4ced9d61,7462a2b4,3cfa38db,1e4489f,3e527425,d48807f7,bf73cd93,a731e351,a9954e80,fb6c42c7,165b4cee,976199ac,2e6871b3,b088fae0,f040f09c,b91a0ea7),
+S(fa952014,80bed20a,514df1dd,6d8541e2,f7bb05f7,4eda2a56,ed1d2a0a,6300ea2a,3e887eb6,edc0c858,18b1bbb4,8a54027a,aaa11988,c8063f14,98f7d1a9,64b8d818),
+S(aafb82be,ff591455,e3c11ee2,ed724caf,46f86053,708699f4,38180f5e,a0156d90,63bd1026,f928de57,cba2fe5c,890d02b8,1afd2eea,2ff8a5d7,6708c70d,6172dab1),
+S(9788ab96,c57bcb54,3797c014,a20704d6,56eef193,f0459b4b,b2617a90,3ba30842,1e81188e,28ba4be6,d244ae0e,2574d0bb,ab51fdc1,5ca4472b,b7b82a9d,dab005a6),
+S(58fffe9d,6d6e176e,d006b35,52133322,c8e95d2c,4040fd4a,3a04ce94,dd5d0241,6f8bf132,7d0aee77,4e88f397,e2cd1594,39cd3c32,5a0313e6,d63e5e52,5974a647),
+S(65d3d1c9,f10eb74c,6a27fbdd,f39d4ec2,8995aa50,3bdaec76,2f7051a0,23190b4b,42c3128d,959d7b3d,b585043e,3d042252,6e2c1b3e,714a2938,42cafeae,22333ced),
+S(5240e75a,419ff988,d9e9a27,1a9719be,3d2c960b,eb574aee,fe278acc,5466fbbc,56aaa8d7,76953819,904cecbe,cbfd680e,99df80e5,c6a9100b,1fb8a570,6d28fa7b),
+S(6f00eae2,ddbcbec3,cdbb2079,d7300565,12087a6d,b2f5df8,8d2db4ec,9358a8b8,81ae19b7,88ada62f,dd68da42,fcea16d4,699467,dbcfb314,51cfa318,e71388a3),
+S(a7c58025,ec88b71b,bbe8a9f3,15b3b182,3ac7ea83,95ff1ae5,eb0889ac,d7a5aeb2,4decc4ac,78e45b5d,b76f969f,59dbd448,c0100f21,79aed6f9,bdd089c4,5f02dccc),
+S(f5534fc1,b0bd55c7,e0af5eea,c11567fe,b5694f1,cc60830f,cac6ebf,ba0bc0b2,a7ee28d1,7624a2ae,32841821,e1ca4934,c10e6087,819ef9b5,f0b56e1b,4467a9c4),
+S(f43aa167,8f4c4a1d,2fe2551b,33c4eae9,5d7b12d0,276d37cc,a4e68e01,71521f6f,a64c65a7,1c7db76d,bc11cb6f,e9842c12,ba6653a4,2cf0bd8d,46656e31,feee083),
+S(28cd19c8,3d8265ab,f0d38cb8,9f8be926,ee8df072,f096a363,94193af5,d16d9923,58625794,ac267f89,a6734390,a6bb719a,d5e9e2ae,6e0ea241,aad5407,7cc1bc26),
+S(572703f6,5d834c93,d0e09fab,e92b1add,34245158,33682bcc,2e62c218,451ef85b,44daf6ac,a9af4ae0,a7026240,8074e4ae,72ad4d79,8145d431,760b26a6,33d05799),
+S(27c6a3b,92bf753e,ec6b35ec,491fcf65,ee5387cc,b96cd73e,651b9b11,40b347f3,a881835a,4d28683,670934ab,95939dc9,5a0e5974,7cc9dc4d,c39d4a9c,12fe763e),
+S(30a0db50,ecc1bf4e,3c34a171,ff648cd2,8a3fa45b,786cf15e,de01aa47,33a99eee,cb47e7d0,cae5a279,702aaaa3,a2865888,1676d851,9d15805b,cb8bf75e,23940a1),
+S(d27e417f,f83b3a04,36ade27f,1b5448a6,fdc91da6,342584af,47f2b8c0,3d21ccf5,6d304d52,c9ddda31,14b68be0,49b57d55,45d43d4d,501b07c2,8d295a33,8f8ec396),
+S(5bd5b0db,57c473b4,de32fba4,fb7b68a3,9f6e6c46,c6e72e50,b6ae8fc3,259331dc,cafd77c8,2b16bc35,a46a7c5,fc715c3e,cee644e2,4c000335,b472aa5d,4efc5a7d),
+S(37e99dea,23a18371,1f23b80c,1e05f3ff,45ba6351,10c9fa7a,b927c808,e3e6fc45,3dcaf312,f8dfe055,ef6abba1,3e5eb0b6,70ce3c7,5724fcbf,67c61730,629ae0bf),
+S(6b001dbe,be7a3db,6fa70b38,f46d13cb,77d759d6,ce6b7fd,153b87b,aa67f94b,7cbffcc0,f3d48278,d9d6b09,7923f646,b56d9fe1,77ce1111,d2abd2cb,6244aa85),
+S(e4bfded,5c81c0b9,f1ae3fb8,7ac88e1a,d468ef72,bb3321b3,c3a4d549,fc073820,dcdce7a6,76b0b3f0,45b6331b,fb75ae0a,610473e4,b551a001,18674a8e,a3ef1d73),
+S(ac834f65,dd566124,f837f049,bf0d73bf,4884a1dc,f1756462,3cbf375b,6c57aa9e,1bd6227f,c5265e61,53d0f350,6c698bc,a973669,1260d911,2e918308,48cedf1b),
+S(d36b1cc6,e6fc735e,6e83957d,87e2c74f,8cc50202,ddff7610,fbdde385,22f40d3b,293f6494,c2ffc78c,8955a544,fbd4ca05,898e3560,e05f0949,cb6aec2c,a18994ae),
+S(d2a214c2,b88a5126,1284b25f,d7f5ac2c,e04f8333,144ce351,dc057262,c9a1fce8,17fccbad,720577df,1db1230c,e2c68fb3,b603ce29,a26a6370,4fba4060,8c4dac60),
+S(f3f9329b,ebaf25c8,7efc393c,66c308bd,461f55fb,c721975,6a504edd,f46d95c7,799cab78,1d1c65f9,2a5193a3,e6124166,586536c,f4389a35,d886bc95,f033ca0b),
+S(3aa1cd82,ce4a7838,4cbfa6a2,85fc66f5,53edc1a3,2816b1eb,85142e86,528e0cc8,4b24bf4,3a8266ec,4223b77d,3452f3b6,72596458,11c5cd2f,8f043d71,88f87dd9),
+S(4abb7ae,40395b18,5a1017e9,d8887ffa,480f57c5,41c9eda8,578f7e16,538c61dd,4b96d913,161669fe,43230df9,a18bc71e,e8d36dac,de48c3b,d9600b46,a29babec),
+S(89ebe2c1,845fd4b,461cb4,bf9992e,5f08ca21,d9d24f32,2733f259,c53d8a92,dfeeba58,f1d23a91,a85b3405,2b875f04,e056732c,a576f8df,aa5dec9d,2dd747a7),
+S(92915a37,29c505d7,493cc142,b2e16913,6c8d2015,fe68992c,eae45b1,62d465c3,1ac2d867,24260b1f,396777cc,61f0261a,d8a603a0,e3efbca4,fbe5f485,378ef947),
+S(5367ad90,3c5d684c,920f38,76c3bc32,c0b42a65,e1ee8d0a,e59de048,15bf8e80,82bcfbd9,11bdc542,306c0a1d,dc4aa5d0,353bb0c9,3b36d255,8657e40c,85e121e1),
+S(dba0a47f,2fd5e7c8,5c2c8bc3,69981126,15769156,852b0f24,1e6ea83c,e56a8817,7a8830c1,377a2973,35a66c63,40cec55e,7e57648,29f32586,3f4ca9ff,8d95c0ed),
+S(ea85fbf1,911e9827,59ec5e0f,a87b1c39,ff555ef2,ab294982,1aca68a3,648251d9,164f58be,9b8c16e4,ac9001a1,815d5f37,4b7e050c,21cad8d2,b2be4a19,ceb0c359),
+S(84e3099c,ddad8d5,82c7dfbf,df03f19c,54e214c0,a0d5e679,7feb9f3b,dd32e43,980b77a3,1d08480a,5ef191d0,5c8cf0fc,48d5039c,583ee3f0,d37a8151,c49fcf90),
+S(edd595e2,f8cddbdf,71f39b87,9a063da9,8ad70ea0,f030d9b7,28bb666e,54eb9286,89f1969f,95953dba,a1ad1cc6,29cbac93,a4620a8f,5c9f63da,a62ee923,98ee0f49),
+S(1a3f3b62,26834d98,23f80f02,963e0878,90d60328,d911374e,167c75e3,51247b23,afb1a632,652762b3,db6b6259,ca8452c0,b194eb76,f16e2cad,1096539b,2386ee41),
+S(dc425571,5dd53bb7,f572a949,895fa277,23f6c177,a234d2d5,e3c6a67a,fc458f37,f1c54b9d,54679c34,dbd9452f,f5813e9a,138d56cf,c7d8162b,c1eecb9,20edf717),
+S(f86b4286,8b3f187e,4ba6fbab,91b83a4b,60acae17,b800e594,cc996004,138ed24e,7ea7b45e,b5a2340b,92fb24b6,f02c51d7,14c02c88,e9fa216f,595253dd,58e6227e),
+S(46d26f41,447935f0,af56788d,b33b640e,e661de65,ed1a49f3,db91ff13,48aebe29,5e79cbe0,80117377,6db73c6b,eed3fe8a,e7e30979,2208cf9f,e6c40850,f7257fc0),
+S(fa42a015,e023a7e9,cbb36e76,b94593d3,2306a05d,9067ca2a,717c8ef3,2740575,9da9d901,41de45d5,52c6bc89,6c43655f,f8a35748,ac145c9c,ebc09dce,df93b9c),
+S(d03e4507,fe4c815a,ea50b0c7,1469fab8,e1215ed2,c32710c3,ef90e85f,8123314c,d3676737,18dee1f2,a1c4444b,9f1f1b8b,c049717f,9c4cdf50,3ba74ec7,3d404e50),
+S(a4aecddf,221518f7,b058d538,918281e5,7f36b313,d00aa7d8,d6277fab,13f6ac95,77738ad8,eab86a97,1711b719,21edfee9,edab979b,8799a123,b16d8a58,354dc0ac),
+S(f0c70330,433998a8,627c2116,e5352b1e,d9754c24,3d775132,b48d3db,e150a7e0,5392f238,cc30eec0,aa887b99,29759f5e,1d9c252b,dc6d8989,3e46008c,4129140),
+S(4f34fd4e,155fb49e,7f1d2407,f65d8d94,5ab8bf,14c33255,e764579d,28252d6e,29f3e40c,2fc42f54,dada4b65,3d103afd,e38027a2,3dca44e5,15e6c561,16bbb839),
+S(ae34daf2,44babaaa,fe89f02c,8ed39b2d,ed4f09a0,db8cb7ba,e4145e61,954ca965,16b58ef7,f394d988,24c7019d,738a7dba,5be8afae,45bcc2f2,4cc7dd44,f60561ed),
+S(4637fc06,95c91eba,d195450c,4067cd74,14c646c,8885beae,e99e6338,dace2e20,43a38d49,362174ae,52683128,ebc753f2,71e398d7,fa906f5e,22ff4dc2,2622171f),
+S(7cca0cb7,f940ad95,6a0a4d4b,e040a3c7,4b7304b2,975eece3,eac0b4f6,fa240c08,34845b82,6a4df5b0,10f4ada5,b6c83ad9,5f932a33,8b319027,92796374,35c0ed9),
+S(bc374aad,71cf40,8a1eabe1,20d44340,faf0f3a2,774b378f,90f08faf,3a7c626,4bd1b099,9f649446,20c7a58b,45081f50,178626c1,5f00451b,b3617b09,5ecabf74),
+S(cf3bed1a,37aade71,b025c9b1,dfc46205,51b3dca3,10ff6bf0,4a89a492,85c6f4c2,7ac96d8f,1b856617,3896f216,d6756362,bd5a9ea7,9e521668,b0d3a05,f778f6ee),
+S(e36904da,5d6970cc,44faa475,c6dfb02b,579adaf0,4612dc2d,a7c9a166,e7c771ab,1f164e1e,24a1452b,af2dde00,e8ee182d,2c9c84fd,1cfa67e6,f8ea5f00,376cb404),
+S(f6b29ac4,3a3b28f9,453e5a58,ba715cda,7691126,bee6af97,e1c5bee4,199cf34f,81156562,89bd32f,f74a1484,15390fc0,a1451536,99ec5f72,97b191e7,98d75e12),
+S(855b98e1,be5557c2,cc7825bd,ceba8296,4921a391,12ec245c,3d89fb52,a443b680,9d4d92f6,af921190,1129dae8,15e93939,9994d482,ed93bea0,a88ae69f,c3614f22),
+S(c534fa2f,e0eb93a4,86a708ca,2bacdb6,74b17471,11fae4a5,1d4dc063,ce06873,9ee94f74,b1239ee1,cb96fc2c,4269b1e1,7980451b,881145a0,9ca5511e,985a57e9),
+S(1615956,54dbb60e,9d446655,7b673,c5f7b662,ae1bd976,2096b356,1fde395,5cf45f18,5d88f4e9,3d8eef94,aa64996e,1648cb98,3bca5ae3,8f5d2a96,b1cd241a),
+S(61ca23d9,875bfabb,d23096fb,a12f043f,d036053d,a4fd7f40,ffe63b5d,ca176fb1,699b75c,1391d3da,18405c5e,825520a2,d0c49c60,b07417ce,89bcb2c5,15ba1a05),
+S(8ab48e3c,5cd1c014,473ed567,89edf015,917f7b09,47fda85d,294e531d,89124079,58b7a6d8,2bce79f4,189f0b43,7d009e06,43127468,1dd4d50f,ca2ac326,99dacaad),
+S(b56e89d4,28960847,be87d5f6,59727e68,80f71a6c,a023dcd7,c5f0878,e3146d99,bac8519a,5d2c472d,ee3a2578,d0ff2a17,5e6801f7,8eead578,116c59b,f5bda8bc),
+S(197dd8ad,b359a388,b7920a8,9395aa80,1c98c278,888dd30,cce2f2d0,2aec4d27,383205d4,8c7b943d,2e66c725,979acbfb,d5a62947,bd251407,e4481ed0,d5faa6e7),
+S(b8388b28,61f8c667,18653876,526d02e5,27d20c29,e612002d,514ba09,853f694a,7963e44d,997c532c,bae94319,74aef26f,b5761b3d,5c8a2e76,2d35907,cb3ffd28),
+S(5f6eebb,2ca12aec,b80ad8bb,b926fc93,53281e26,60660c29,41ca2cd3,b16c428c,5e5c92d4,41644c68,4d68e47c,c63c71ff,54634805,97955591,b8f68915,c506d92d),
+S(cc4f7d7b,8e5b1d1f,f3c166a9,51832dc0,9503cc2f,e0fb1784,6f4910e1,eccc396b,a5701729,65400983,90d49ee3,10629444,b53f7a5b,3e31bec3,7eb99ddc,f02c8d95),
+S(1bf0da05,6984e8e3,3741cd04,16e74372,2cc918b6,bfc964a1,1d63d0cb,590c5c86,e461a594,368cb7a5,4c93c589,67928a37,b6037b72,71113804,b2e64d8b,a840d00),
+S(217cd3b7,9c1d9727,fd781ced,dbe735b4,2d655e69,e5f7ba8d,ce5eb68f,feb1913f,fe3fff21,ad8744e4,6e3fad85,4bed0d9d,f28b0bbb,96df1b40,b711ea21,b5241985),
+S(55b99e36,7b8f7cd6,24ace387,2cb2675d,c25e6226,b1201b4f,4e1b039e,38365d75,706543ad,5c20ce2b,5501e8b8,4bf1d26c,fc07e60c,f40ae25,951fa46b,9ceee474),
+S(db0bc491,688dcff1,6c81f280,a80ab2f6,c5efb3ce,2715f202,3f999ea2,805a59bc,2096cc70,588ea476,613ccb8d,c98a1989,8f729420,9adc1a3e,c77b126d,b277ecf6),
+S(d961e10c,a83ebb9e,f39e3019,c1b378a,d94cc902,6eab0f3e,d203585,92a8e44c,87f46ee5,14689bde,3821f844,9f97a2a2,bb1db0f6,d2916674,1cfa028b,d21f40a3),
+S(18ecc615,8d15a17b,50737a0e,6bc6953f,ee9f18cc,e20de26e,642a434d,d292032,63ada9c7,e3a8e367,970af87,20417ad2,eef85059,70b81b76,609fe8f7,c3a00ca4),
+S(6ff356d5,262df09a,33ec10f,eb2e48b7,db91d6c8,dcc92f9e,e4fc39a3,813bba67,5bdd7a71,c46cc142,7d8a1835,e7ffee23,d0e025a8,e3027b1f,4892af19,2a2f0e0d),
+S(49263558,22218dc2,943140c5,3a706f11,46faabef,f0fccaa9,77df5f99,44a77b2,d4d9db7b,7999d45b,9b51d776,6235e129,80c2d936,1943d867,65c4a54,5fb58e14),
+S(ba68fca3,2b5e907c,896b3d2e,b9869a09,9d0f0fd8,bf8e06d9,64a6938f,3175f281,694d19f8,c8428ae6,16a78a85,57c9ae25,96a56c8a,1bb9f679,33d6e351,4d59fe8f),
+S(5c461a52,3bc37bc5,39ae9769,5b59599a,86d3046a,36f4922d,a6f68212,19a89bff,d98b7b7c,5190ddee,481a5c3f,7982b4c5,b483822e,a211ccff,bc44d03e,983295ac),
+S(43e3275a,bcf17dfc,7560d135,22f3154b,ccaa6090,245a79e9,373bd867,f48da149,fbb015d6,9f2aa00b,63c81226,b9165afa,1ee6be9c,8e680adc,4d2e5256,6c7723c8),
+S(384bc1cb,8221098,4ff0a800,dbc85225,cb4a5f1f,477b4228,5c59c7bc,262c29ad,21061a79,e7dbb527,9ac6fc8f,e2d87642,cfd71eba,12220403,8792cbc7,9d8bce1e),
+S(460c55f2,fda793b1,5aff59b4,cc819f12,de803b1d,5c938a2a,d30649d4,a38b58d0,832f6713,e63fe5d3,dde9534b,29d216e7,2434dbe5,6f54c9cc,ea683b17,33075c2b),
+S(5e4a763,28fdeb17,b7cd2a8c,47b58307,538c6f17,397fcec,c9e5a377,6a39383d,3b3eb0ee,d7e28701,7bf034d1,dc1f239f,64756481,531d3692,bf639eba,2ad6e02c),
+S(5ee48142,c3cb1ee5,45f6579,a36c589a,f886719b,c0b7bef7,c49c7a93,f3b610d9,55192e86,467835c4,b488b869,3f6cb7fc,94e49b03,8272abf6,69cfaffe,234c783e),
+S(13b5072a,bb3d2943,c24fc4db,5b5759c2,290d6c92,11bdb80a,3b729478,71f3322f,ae8e7641,39207e9,ca438902,e75cf685,641cf5b9,674ba9a5,e9b26195,30180497),
+S(2f2fa1fe,582dd71e,3bfc0e34,f1f5e8ef,12598b52,1ac2847d,90b5dbe9,152ba45e,82967c82,1d7dcf0e,6c624483,863c6c28,76ec8adb,43bb44ff,b211ded5,e7c397aa),
+S(1b7be0da,e6633eec,f7895c64,29ea8088,1c2ec66f,2a273819,ec3331ee,830d7c1b,cd884cee,15652542,4bd8b512,8c05a77f,3c292260,c8d30471,8eab87a2,46f75ad0),
+S(247531dc,f0bd40ff,7208bf59,2fea5982,440e3f05,8da7ba03,efc7cb94,4b48180,cdbf3227,62033470,e47cef0a,a5c9f2ac,9ca08b01,82140d52,549d24bd,d0f17ccd),
+S(274ea538,f2e50569,9f52a7ff,bd058c83,95fd75fe,98fb66f0,ffab658,a1e1556,5aec461e,79c048e7,794586e6,43d10236,37f8c376,7d158968,16ea0ed1,56fab125),
+S(82935503,db88453b,8794b70e,9b5a3e37,a804547,48d80c3f,d2e2a85b,844ac085,d507862d,98c035d,c1dd3d1a,3a7679ac,bd80df3a,4e8c4fcb,5b5761f8,c9605d7f),
+S(cae0cdae,216c0e62,e8324d9d,95b15285,e43708a0,dbf435fd,d355fcd6,227d2536,f442e7f,d546d149,d0075926,fbd6e15a,805a85b0,a78ee674,c15ba3a9,a6d67b70),
+S(a5a0080e,55ccd7c5,d6f708d3,34a78c49,b22442d3,5bce311c,b660af79,39cc70db,c71d761a,98c974bc,570f303e,d64875c0,d9e64f44,63d9db4,fa2d0e8b,80900c12),
+S(740c4a8d,2dcc8a6,b11feeec,8f60afb2,e59b02ea,788d5f4b,62da8397,dc88733e,c8f3eb37,de1a1332,c6e010e1,913ea2bb,14b10e1b,d139dfb2,2858e760,eaa16f05),
+S(551b7b30,507b2df3,c07955b7,ae91260f,86d899d,ff28e68c,67d8abf,cfc0d936,4c21135,c84fd85a,ff5839f,5192a854,25b18720,4a92582a,1b4308d5,a4c0db9b),
+S(e11dd54e,f04d524,7ebbd72b,edffb50e,d0d4ff23,8cdad3fb,f1ea8067,93378b5e,46bb0d5a,be23f71a,3f16f455,c25b19c0,49fb9d25,9db6c94b,9b6b1f17,6edf8fed),
+S(570d4783,29cc718,55de654,48255925,a5b094cb,5c55f10c,4793e532,60c9163b,331519d1,e5444f30,a4b1b753,a769eb4,d21d824e,a8151a40,2fab9b47,1c2d5625),
+S(20a184e6,df5a35b8,30e97ee7,c3d4390,eede5a69,ce1c36c5,a77948f4,edc4812f,e46f676e,7b524c40,a6135f3c,7474d8f3,c3b0d45a,1a5ed4ec,91308a8b,b89b5a9e),
+S(c7daba6a,960243f7,ef0664b8,f66ddb24,8a7686a1,2095370a,36316ce9,a4f5abca,6207f622,619ff1eb,fbe5264c,7f7bfac1,fd0d96e5,fe1a8298,a7ff4d3a,83707327),
+S(b9d8e4ba,50549b01,491df2c8,dd596ed2,4ce5ac19,deb88450,a69a8237,d45f6507,5aae938a,46a3b4c7,6dc96894,798d2dc8,443795ad,6a393f31,a042d5c8,83ec7d12),
+S(5f9629b7,ecbc8b0c,62374b50,620146fe,980791a,dd24d2c8,b2b3b786,9800a4c0,1ddfd8f1,ef4083dd,c6da5173,d16d68d5,7425fc02,e3943d9,a594e98a,ec06285c),
+S(33d159bd,d0610753,10d3c1f9,ce89bfa7,affc80c4,5d193df9,55647519,357095f3,42c8b3e6,9b81c478,57a33b1b,1cda5b68,3662c1ab,f99ef9,5ed1b250,9a5cfb90),
+S(8788f2ac,518a4024,3607d127,381f1a1,ea3e581c,89b8d90a,2d2c6e70,f94ddf6e,14112b9a,ef954527,811f9249,5de47e6c,eed1858e,5eba4aba,b1580360,fa05af7b),
+S(804b97ae,219b7647,15bd259,255d3275,a5d5cddf,3e750578,13354081,6d9b6f81,abc3a542,1e195c33,88c0c4a3,f8448ebb,ca3ff868,a41c7c0c,2ecfdfa6,409bcc24),
+S(195bde17,6cd7ea62,9611d9a6,c55ce4c,e7cdcd37,2d64ae45,f7d449f2,ea32f6d0,6005b5a6,890e472,af884f6f,6d5c8111,1003e809,6e66e22c,1468c962,2724111d),
+S(9ab1e545,c9808482,2fbe050d,bab124f2,71b16028,e6e21247,ccd63332,26500c42,cb6bd747,4b6df912,e130b611,c762583,c81f7c5,38dc9766,e27f9194,6d1aa02e),
+S(e87cfa04,8fa5bd1,305f73ed,971c6d23,81fa39ad,3d583744,c243bfb9,fcc9023c,7fb05d17,d789734f,7a9c1644,21a28365,3321f261,752025d2,b91cfc70,703e50e9),
+S(5195bc3d,5ab8164,4ec40b0c,ff5fb1a6,c749064,9dad884b,ba48e92d,6f35e5fc,2b7ec6fa,97b441d5,ecefb879,35e059db,55d0e3a1,6d693899,d3c0b213,4fb04981),
+S(eb2d3530,17df63b4,eb17dd73,ee58d282,78d01137,34a41020,cdf0444,8556792e,58a4f4cf,9247f908,3c28a9e4,da38e8b0,3cbf9e4f,2b92715c,28781d86,771ffee3),
+S(8169465c,2da73cfc,daf3f3e8,538a47cd,ce088ccf,475af747,11585bfc,14c39426,1665d78d,e7ffa7e4,810ea80c,f12d3925,239b5c6f,69652fd3,44ba8bf2,e0126db3),
+S(96d8634f,aa85174c,69e313c6,430eaaec,bd2ffe3b,55a1a0ae,e78fcb66,af33a3c8,869f9e70,344df870,be6a021,8bcf5e71,afc8a290,51d875d0,5c76f72f,e8fbc0cd),
+S(3a071936,1f0234f1,9cc3c7df,40eaf836,4669615c,9520b0e9,c56ab987,dbb36bc7,e43415dd,cc244c05,fff14e0,f21cdc29,dddcb403,5678584b,1a3c5484,e98d9625),
+S(cd3f1530,5cc9a03e,d05ab14,a81c58d,2485785,289e2b1,7382d45b,b935ca4e,c451f28a,e7aeea28,ee7ae093,46b352d6,bcbfc3a9,b0bc9d62,9eebba56,877ce9f1),
+S(677e2061,8d0b42ae,6c38532,669cbfe2,56ac4b5a,40f1de16,42d97a45,ae34fdb7,ec23dbc2,bf750958,9be01e95,ad253816,7a24b700,1d9a8a20,218f0866,2dc2e378),
+S(f816047d,1606074b,c54ef03c,e205dc5c,cc8182f3,739ab8b2,7dd09fa0,50d2912f,de012e8f,89ab0ca4,d8f8e323,6e0c2545,a6105fc3,602e978b,f42a5652,fffe864d),
+S(11f9ecb0,4f273b9a,a699a3ff,4588ea19,2504c00f,55145cf4,10cecd40,b5f46f8b,168c4fb6,afedb0d6,b0bed70b,610c5538,e796e0f5,851e6d36,99fc49a9,f62c5b10),
+S(efb9a14c,f6a30d5d,f30de8fe,f9ce92eb,6f566f8b,b65152ae,323ae56c,88da79a9,dda5df31,f184601f,a45747b0,3017ad22,e49c3892,fdc28c7d,c0d7e099,7cfad33),
+S(e7b66913,dc55fe07,a9941600,17241de0,7867a77,8fe4f998,19efb096,8d426966,adab1d03,c8b96717,db800f98,e09ae855,2c653266,84886f3f,15c08bc2,10bab6e5),
+S(6fd3c1e9,6c176c59,f94791d,fb9cff5e,901f676a,fd7e66e5,f69184ab,7b4e31db,ebbac252,36e640f8,df593a37,817911de,b85a5597,bb0d902b,7a97ff4,18689609),
+S(2667971,943d720e,7d64d2b6,3d7fb50f,525c9214,fc89c957,7e00c007,4c39a907,9c1fb427,29e57196,33af3187,ee109b46,fe708cd8,5f222b25,bc0c5ae1,300ca331),
+S(e34d8507,b11a4ddd,9fdd654a,ea6c4876,5473bb13,c9f18e6f,c8b6e3d1,5eac015f,d34c6080,22a54602,fccbab5a,e1cbd5fe,7ca599ee,75c51117,b9537c7f,44f90268),
+S(e8b6557,441ce4af,7ca27f49,75107ff6,3b108058,d42d5e08,86bf3bd3,46e52e24,b15eb15b,b3fcc5f7,e3fcaf48,8f5048dc,a4c587a0,5b982613,c78965ad,b0d2027e),
+S(b49f84fc,3ed84f9b,3ced0a5,7f953116,897c892e,d0249365,d8c733aa,b97d4b95,4f0a63e,42aae565,32225dc5,894c6fce,15f2b25b,e762f49f,a1d74d5e,6a23fffa),
+S(99b0e1f4,cf7fc243,ea34dd0d,73705809,935b6c03,c0a687ed,7bf8d69e,d79dc2cd,b61a5574,17e236fc,a0615fcb,4d6ba1e2,21fd49a8,4003e8e1,b4e4a648,b6a088ad),
+S(1fce8906,c4c420d3,75ee3ed1,2e603855,fda8bcdd,f47cac56,3595d3ee,6b4cbbc9,daf0cedd,acfa2409,e861d1,5cb260b1,eb84e1fb,22f8f483,e4524750,8c3bbc0d),
+S(df85a7c0,fc08b916,43ebcc41,6bc86ac,bf4581da,fe0f7418,66704eaf,c24efce6,5d1866a4,3f06fa8e,a36ddf3f,39afbdd4,97372ac5,2d13629a,d546d4aa,ce7af9e2)},
+{S(8a4e9691,3533875d,b8559500,65c90785,a78233ac,ef24113c,f6ed543a,e6a40024,57d9444,8d091df9,602e6c7f,c3f88934,d45a7c76,18da574b,4d4c15a6,6925bcf4),
+S(f8922b8f,c310a77c,c3e33a17,d88534ab,ac952dea,355fa763,14e2d886,44b70136,dad313f1,5e0ff701,acc8fdc1,b849a1d4,569de031,6a6cb83c,51629e89,99aeddfd),
+S(d9e5586b,cdef070f,978bcaba,36cb7828,8ba43e5c,f0273389,750c95b8,4cf76c,f04abc01,6a060cbc,3a0d1d8c,240995ce,bb6c0d2,d9cdec87,fc8b9f39,dac5b50e),
+S(6a206413,757143bb,c552fa3e,180d8e98,cb96a816,136dbc2a,8cd4c7de,6f508a44,55ee4d0f,189bd91,5323aad,b452a7be,298c183,b6843f5,25cf7b4c,ffc7b6c),
+S(130bf00d,5caf1767,83d11a2f,acfc3cfa,ed0549c,5ecc381a,d1927051,517e4e88,506fc4f6,8b8be0b4,9537efba,d532f50b,156f5370,725c23b,66b0b758,50a45c71),
+S(d85e7a59,54c93649,44d0aca6,8a534e68,42bfaebe,1806bb41,1af01358,d2d4f47a,8a8d3741,21f7390,879a892b,fba08959,23db88ac,867b9ea9,6888c43b,b651642d),
+S(88c5e26f,91f4dec6,5d222318,81d7eb57,d3f7e498,fb1866f9,5015e045,d0108eb3,59d66b66,cb05e136,95d5bb41,d25e5b87,6b02af1f,7f29fc10,c67001c4,4bbb7cc9),
+S(be062a25,7cb5ede8,e5926608,9a762e30,816d4463,cc5b2338,f4aa6309,f7722aad,16f30af4,c27c3f38,82219d94,a49468c2,3e8cb1da,747ff22f,e23c7dbc,b032d3c1),
+S(292e8df5,2c77c161,6277b962,e10c43be,1c820aeb,80f083fe,879dd961,51cb84ef,7c7bafb3,a3bab2bb,2f9dfda2,68904ee7,823e6fc2,2077e41a,af16ed6d,e2ac43ea),
+S(b14d3f06,8a0eaf5d,6dfa519a,d0a692e,3020b5e2,8c31b79f,ce6400f0,12e0de71,c383938,630762a6,ca5646f1,f2f02e6f,939575bb,353a9dc9,2a42d50a,857ded94),
+S(f41b4e53,7560be3,b604d846,558b6990,639d00da,c6c7e98e,c07d1574,a71aa7f5,c34e8e3e,8102f564,fcc5f376,94d80a65,b616dcb2,d025b701,fa615539,6a105255),
+S(5fb4006f,35994912,403a952,a1f53d15,202d8305,389fc093,4e4fa6f1,236892c1,1c5d613,e61f1cb0,e0805743,519fb564,5bf14c51,e61e6cd8,bf08c5b4,9417b96a),
+S(e4e428fa,f6ba9c36,1593230d,e73afeee,9b580d5a,ead54f55,2e464031,bc6dfa24,ab8d0919,f7e8a7b4,99719862,6943e144,25d15360,ca0da2f2,637d8542,10158268),
+S(53e304ca,eb03205f,f80fea6f,3ea38010,531e1d2b,c6d1fd25,804ad799,e2f05984,434777cc,b848ef4c,f6c205f6,621d5cc5,97c8c2d8,34ed12e2,28e3fc02,4bc4fc6c),
+S(664a810a,a0894cbe,2f85817e,93b1d731,5a4047e8,266df3b2,e8ab5aaf,b790e0b7,f5ebf5e8,38f7fbf4,b904e874,48de1d1d,6befad46,ca68db2d,c08f8d43,4b6e57f3),
+S(4a697e76,a5db2e31,34b646b7,a59e8ad6,9ca45eb6,b77aee2e,2f82f113,4d698262,8d5d47fb,76769327,7b24d6d4,6221e67f,cc9b937c,31e30fba,9e5ae198,597cedd6),
+S(7e227b69,18cf61b2,e33e5996,192a0ff2,89cc6853,9e8a5ce5,65163662,83d8c423,299b7e8d,d2e45efc,166a37f8,d1036a60,40c5b43d,d88cbdc8,729669c1,98d5847f),
+S(88afc703,96dc444b,70b8c36a,a30f5a6e,212dfa93,d4eacd3b,11e47e25,9bc7d42d,844425ba,79016a22,cb99d0ee,6ad40ec3,d0cd5639,1717eaca,1425e3e5,98db73ef),
+S(75ba04f8,349f8c8e,69aee4fd,662eb9b0,aaba10cc,555caaeb,c12eec36,70179d36,fc0a0931,cc6d5662,ac8bc2cc,c7dbcdf9,db139e47,c5ba80cc,8778d11f,ddb3caee),
+S(85c4f2fc,b3f7103b,6970a16f,8ad3d1ef,e1cedc24,3c576235,d9af669d,5f7a5a94,b575c9df,4162c450,4b61412,a3887a44,94bf88db,cf4c6ac,52af5e0e,52382ad7),
+S(5a3265da,5b752377,50fafc55,e2affb2a,b2721932,c9021dc8,5bdc79ce,66d0bf0d,8101544d,688db281,c9a7588c,dd72dd63,734561a6,a91bec5f,52641a23,d4e091c7),
+S(6177daf6,809f918,f8fca135,f71b89eb,e8700dd9,47243c2,c36fa883,182df3b9,8ffaf7ef,3c8c6422,33d7d43a,c01fd1be,a74c3dd8,3554cb81,7939ef62,cbc8b592),
+S(3b8f7e37,b09e7276,36068698,fd87351d,950129ee,eee44a88,9c7a7e39,d49e2c5e,8ce941d,a2ba686a,e3264228,48a6e76e,a0118a7c,55fb37d7,7fd6b9de,15b867cf),
+S(47892789,cdde36ea,29dfee45,74173afc,11515dcb,fc53a82b,5c2b29da,9201c8f4,d4717288,94fbd69,44c690b9,97ade5ea,d2c10917,4fe36517,57118d6f,b6264461),
+S(f8dff091,8493e499,fc13a155,933384d9,fa83972e,9b099bc7,236bfc07,6e24966b,a06048a0,ca130916,94217147,1d803d56,99cd9c6a,cb98ee56,96637e5f,2a7d923b),
+S(dccdbe61,aa1ea411,8443d950,3887f76e,c5e09092,de7c9c7c,642c5755,da678a79,f4cf61f,c7e1630b,2cae9d87,6eb29ceb,dc9b24a9,76c9540,f7845233,c9998493),
+S(da4f38f8,13dbfd52,b45af510,59377f94,7f8f0158,38135451,d9713746,80e9c3cc,da4a6ea6,f8526f63,46edb7e0,cbdf3ffa,586f64e3,280b8052,4d2c19b9,f343976),
+S(999029c2,9badca65,16360432,56f3bb93,f1b608ac,5084711e,242d9b76,2b1bf371,dbd72bca,1f01a2a3,2a760f89,e45df463,319362d4,61df25ec,1ec9a71c,e85140e7),
+S(6c502c,1cf38e63,65275058,dc610392,2bceeed3,ee0a1aac,2838327a,a4543303,f0f4c4d7,b68d69a8,7209c888,7b725b2a,2a8c2c5f,b7c9ecf7,6c1f71fc,e398b92c),
+S(9c31fb8b,f57d654b,a0ff1bab,9fa0ee2c,9bc86017,67876b66,83cd8c09,1124f421,b6ebd670,b4e352b6,320134a9,fd765d26,b2e1f109,f5f55958,23d7eebb,d1bfdb31),
+S(fbc3232d,c40bf025,1a0551ef,4f3ad4c8,51ab66a1,f2c709e4,70a751b9,9f9cef27,552b310b,6587b1ec,1b84242a,3df96073,e35d0f7d,d47f09ec,b3021773,1fdf308d),
+S(90e71b55,cdc8e2d4,f12fce5e,4719b8f7,5da7966c,4480557b,58e567c2,eaf48ddb,ff989ae9,1f195713,886dd3bf,6fcbf0bd,70d62153,9d4b4ee0,b0d2d15e,65340644),
+S(829c0322,efef509d,a5284d8,96d3df37,54c21f77,f83a1093,1cf2fd92,a1594905,8b6ae670,d9b03d21,da2ae14a,5e09e0d3,65d31b3f,e1da61ac,7499a908,47715ec4),
+S(db748c28,5a6b3d42,9b9086cd,8a50d16e,15788a48,2f06a43a,2b7da677,d41c8f60,f4bf5a7a,bb4492b,4dfec99c,e7c4cc15,2bf32cec,78a3cf7a,4833c10,251f411a),
+S(e44f84e3,3d2ec8a9,2d905c8f,1d6d46bb,f8b730f5,a07fc25a,47e3eb50,4adbd5f1,d1fe0cde,a9becec4,260d0700,7ba21d92,cb7e069b,4f81bbae,bab8da7f,9ba68594),
+S(3e9c39e6,7d0891e0,9cf7eed5,b0abaf27,b98798dd,c926dd87,12be6af9,6610f6dc,c04e44ad,a09d96ab,5d38ae1,94d65109,ecb95d3b,6b79d019,9641dc8,699789d8),
+S(4fed63dc,b7587725,113e087c,fb0b25b2,6056314e,690b6312,1e906e0,5d98c34a,c69bc4b2,ee67000b,b66b6f6e,648cd1ad,ef9ce6a0,4add42ec,38e0156,dd8e8af8),
+S(501c9927,f0b4c19b,6b0a9595,2387324,b9f31d90,93303544,ea002f57,4b83c51d,14770577,38a701ed,c15fb98,c6e224be,8464e4e7,1f0e3350,899bffc9,c1ccd33f),
+S(98af3ab1,9c4fff23,8d70f1a,efb4a80b,234664da,ec2e44c4,4df93226,e7aaf714,f84cfcf6,9cf1960b,6d13cc27,aa875a5d,3b29907e,455d5925,c0a3096d,44924405),
+S(849672bd,d259016b,8e07d627,e57813a0,e355bae7,ed64ccd4,251a36e4,48d0821c,8d0366fd,764169a8,779d21ca,f53ab78e,caa8a627,32b74612,5e831d17,9147d2c),
+S(34f142d5,744dda88,aadad850,e7f469d7,140dd5ee,fd3dba28,86f3503d,16fe60e,3c3d20fd,c13b78fa,d0b7fe35,3bec2bea,b1509a12,a03b1e79,c5ad2294,41292728),
+S(ffe5fd9,b78378bf,4738931,e03752bb,75855c54,f4e3dc8c,c369c070,450e24f8,dc57ffd6,b87dd1e1,dc466dc,6423e1e8,4174a5a6,c014e069,ae812d80,3c6abdd6),
+S(b43a85b,808e6d6d,32d56edb,5d64af6d,cbfef633,2cf662fc,cd137d2a,8b505c0d,1e61d507,8ee9ec4c,c6be2a87,657cd3a5,f30d508e,c35e459e,e2d0032a,702bf4e5),
+S(42be63ce,a0b6e88a,5d98661e,c99d493d,dbb78f09,ccc8fd30,eee4e148,ffb0cfdd,38d7e392,19f5a87d,e36b4937,8f1ed166,23e93619,165e2968,84294946,adb1e9d1),
+S(9996eb8f,f8c8bfa,d4a4c502,2d8ccf86,f59dc8af,750734e7,e054f783,2b6c0f05,f1c9387d,9720275b,171a93dd,4bdb8ef0,7b73763f,5323d5df,df515ead,2bc40aa2),
+S(66f17b8c,fb9b6003,b6160370,8f86f93b,3555c338,d3a346f1,fd9db3a7,37c197d3,4d0233a2,eb52e023,33c7d4dd,53703ac5,c566ccd5,b1e76b2,423e891f,60a8dff9),
+S(ffd5e8b1,b2587ba9,79e90dcf,c6acdb82,86328779,224a4edd,dae1bbdf,6db06568,d75d57a,4d17dab6,43fa10bb,35857dfd,f2f7afce,f6c5bebe,7e13645c,f6f8e3a1),
+S(ae1f1297,8a7a37ad,87a8aa8e,1e89f0d6,15040c25,d6d47193,e33f12b8,e28baf60,e38669e5,18c7cfef,4ee61807,b51fe9fa,403f1528,ebf2b27b,af0a15b4,fd39f5bf),
+S(d330d887,3bf11a6c,f9b0c1ef,46ea64d9,973f14a5,a93cdb8f,7d84f515,33a34b90,b56e5c4c,8f236f34,78ab2620,ace7ded2,1395174a,76c5c62,2ac50b78,da16ae14),
+S(1d2ff433,4e908a9a,fa5572d7,8dca2a81,8f8a651f,4bda506c,ec0aeec0,91a4391d,292d6a4e,5811de83,e318a6e5,861581c2,192b1f59,30f42d1,40893a20,efefe2fb),
+S(8dc6cfa6,cab6f691,bf468059,7400efbf,8dfa76c1,8edfb8f7,ea78c24f,3bce2bf7,78874b78,47543ed8,2f983f80,c1e83ee4,b0dabf2d,3fb7d695,ab1860a7,967ffb10),
+S(5ef0e616,b545e053,21bca097,ef424f4a,ed40b6f9,93a550e5,e11bd637,59266713,c739cd37,7700a1b2,6dcef2fa,c219d05f,646d86a5,850505d4,21ba8b38,54d0708b),
+S(60b3faed,cd527d8b,6f806cb0,f234a3ff,df62a755,87d3f543,efab95ef,e6ab104f,e1e0cf1,e737f246,c1c3bf6f,92140a3a,34c98d53,32ed25a2,d7a48247,98d5ccc8),
+S(d160c9c0,133d78bc,62a2e946,49cba513,783682d0,dad71915,ce208a9b,446a303a,bf466216,73b02b7,a782178b,f7113433,73cb299f,233b11ca,4d4014f0,2fbdafad),
+S(201b7a0d,5f431299,34172b40,1744d18f,477d0724,6ad2016d,c8ac7d3d,32ce0e93,1fb192ee,55ebdb37,52b6ac29,c7485a7e,f8b8a0a0,a480def8,fa07ed29,d3afdb4d),
+S(7d104d3c,62abee57,1f2d2243,c95bdca5,dc702807,fb060577,bcd1e50e,697c929,a680c234,1c12a157,f604ac5a,b74ae532,5fc59b5c,d8ad784a,5d66fd27,ed3958bf),
+S(8e279e59,c87df705,b764c456,563703bb,1836aea8,93dbe8d4,b0249223,13e3801a,aebc7cbf,ea3fb75a,6f059f9a,57bf8ea2,d0758d51,c0d57696,f5eb4d38,6d1d61ca),
+S(b206020b,a960cc8e,ba4d0263,bb0f2241,a91341ce,f0102509,7cf7ef52,97f96935,a249971e,6bcfd543,c4b603a2,70ea667b,8524c136,c15913fe,91bb009b,796da003),
+S(1e6cb8e0,4b998c17,b0887731,24ad3f44,ae7a89e9,b33ca730,62233a4a,a6b8bac,a50a3841,9da361b1,f89a8fc8,f29a3fc9,a6f8aa5c,36516ea7,2ca4cc15,96330dc0),
+S(449005b9,3279d7d2,9965e131,50fb7cdc,18619541,759706ac,6908ff71,ce5c2cd7,62f1e74d,1f31de28,221d0dec,3d063f76,ba5e742a,52d0b48f,22d01ad,58791862),
+S(4030002f,2374d275,3e9176d4,3bb4c2a1,c7a4821c,f6b7119e,bba2d4b1,2e4b5bfc,a80b25cb,a4a75603,af82a624,b493ba8f,c46ab68a,968bff49,a0e1cf8d,9b7a4d93),
+S(c75f32b4,8122b7dd,bbfb4879,30fe0ba1,99072105,6891b932,e2c7ea3c,eaf270b,309afd60,f5a0f780,5675646b,37029da9,601468d8,71ee3685,cf6a3ad,104f5017),
+S(77a73c5f,1548cf98,9c284c5e,9f1ecb9d,ab55d2b3,982750bf,65eb7097,ed159e1d,112d6329,29e9aa4a,83c2fe95,531c0717,d84c9ddb,87ceb9b0,65e9328f,83c3699a),
+S(f6a55eb6,d05a9183,d3908776,40a5bd0e,2a6b83d2,40cd5840,e25a8bfa,d2116328,ad0834ef,8672b707,dc99c4e7,1c9fc935,725ebc8a,df45cf00,99cac306,4a56796),
+S(cbe913f4,48359096,dfb1b168,fb42d92b,d873b82a,956ad9c6,5e64a2b6,d826614b,893edb65,d2262b17,f5e466f3,88592e96,ddd70b65,65606ac8,289cf396,991a25aa),
+S(f29ae654,8a6aeb10,849191e5,e87e2c0f,d8e70af,a15b8ec4,848407bd,36389d06,1dd72984,6e220fd8,90a1370,38c98e04,b096de6d,a7ce7339,ae697daf,db11905e),
+S(32307117,b8d2902e,e325090f,97b518a8,beb9e27a,d3cb4d69,fc0b54ba,ecb14316,7970c3f5,13f69df0,400c725b,e84b1267,fe7f205,7a70c5ab,56ab0ef5,679ebfb6),
+S(426e118d,b8ff1f7c,18ae29a1,b88e0f2c,2c286658,6c1c2179,edbd719b,31399dfc,7889d383,427740b1,4c37ae36,e51710f2,f5a8decf,a456d0c,a83ac66d,230828e4),
+S(229c2322,7c4956af,938ac061,9640e04d,2c647692,e0e985ee,28cdc767,96f260a6,a056790,cbf36663,b09cf7e5,4b622f74,b185454a,6682d9b1,6cb2af2f,3ca8a7ed),
+S(bb7cb68,23726026,12072e34,8cd4504d,50a3d286,669cb748,e69cd0ab,dcc93e8a,9d537ff4,532cd020,17756733,72ae3cbb,7aaac7eb,901c1e69,5fd57f02,9c336e5c),
+S(d3460edf,f1405cb2,ef9c9fab,eeb71796,c9d48f66,96f8fd20,56a99863,2d278e8c,d9cc7b14,cd657e73,e5fb7207,9d421490,46266a34,7610b3ef,b631c78e,ed02419a),
+S(d12b97a5,d5b7d74c,c8dd8f7d,45fabf75,105ebd5d,9990d99b,7d0738f3,49db1180,51dd8885,e6131a1f,320e1516,3d6e35dc,4978fb96,b531aba6,67231968,a2f0fca7),
+S(f75899e4,e383c412,f6f9c764,38d38cc0,d0550d28,a150292e,45a2aaf3,c7025ff2,7ba7f1fd,d978939a,79b482eb,24776178,ebee022b,48f66c33,e7a8de58,7fc3870c),
+S(9d3aca30,fadb9f90,778aab4c,b7b88706,cfced983,ca62ecdd,4724d58e,6575a754,f0f41826,c426e8c9,a832a211,c1835693,9a1c7c63,3de95bd3,7e6d9b6e,db41d16c),
+S(63454665,5133d840,de3af8af,def0395,cce4e97d,8e0030c,94f8cdba,cd72c3b5,19994348,daf379d,5c626f75,12109e43,bda0e527,137d425,9d9ebe32,2fb9aca9),
+S(4ec235fa,47217cc7,9e2cc90,216626f4,2861f8d3,e61665f4,37c83ef1,acfdb8c0,d0b35b1e,ac498e36,38fa5da8,310a8f64,62cbd671,9d4b9c2e,c3be9835,cdda0a8e),
+S(27dc4da8,e16e0d62,4a0204e2,3a8c11dd,4ebc5504,3cfe98a4,7d91ab19,92bfdfa7,6ad18e5,fc0e8d1a,421f6cea,8276b506,96e0308d,3983823c,de917e88,195ae3a5),
+S(7479c3f3,6a4b4d1e,fea25a45,a3c4b79e,919707ef,ef92c830,6d693c00,e9ff2096,5faaec2b,a9343e26,cd32a68d,7f441d7f,3ea614c5,3703ec81,c43962f6,9934b3ee),
+S(3420c98d,a020a034,e094ced,fb80c251,6c84a959,f9ddaf7e,ed889927,9d98cd03,b6af487a,c26a55a7,30552322,b73b05d4,a7e819d,7fd84873,4345870f,6ce5b8ac),
+S(4afb97a5,68556ba9,350dde2d,85709057,ac4f34f0,e9700939,57bc90c5,540c61d3,1a129c50,23c3e419,fa0d5bb1,74acacc8,9aaa1114,ee38b937,406b5da6,b99fd29d),
+S(e431caf2,6d33fbc7,28a789fc,ce00f3a6,c4629958,6a03ccee,e84a385e,cbae856a,9d11cc02,df57742e,d01e9169,7e5bb434,5829d076,747b065a,782c8619,da4369c7),
+S(94a651f4,4b112523,3fd880a8,99191f1d,9cd5064c,227c2fc4,de1eaaec,9439ebf9,85eca2e4,717816e1,6c28a5f2,c90fa6a7,fe4222ae,f811ae1e,acbcabb7,6271ed7a),
+S(96ea121b,60d051fe,d5381fc8,38b70e86,257626b5,91184577,337fc62c,529355f0,b3a56efa,b898b7b6,b2d90341,cc91faa2,24e410ef,fdd9d7a3,6770765b,c412dd82),
+S(4b7e0cfa,250661d8,fc2e52d1,4a2969d3,b301de21,cc7eff3f,d7d7d7da,e2404d9f,d5d48777,c77930ba,96d179c5,10734cc5,21ca4ab7,a8d7cdc2,2960ddca,c03ecfdd),
+S(7ee44334,6c87bae0,c3bee1a,273f09d2,d687fbad,fe060ce6,ff376c10,1ef266,ca4d7e06,2a28edf4,3419d107,41ab1017,da1bbb4,2e26a282,5d8d5a07,6e377b5c),
+S(e31aa2dd,5bb618c4,63da1ee6,ae50ab1e,ad967b48,ff8df86c,f0c9ad2f,9e530ab4,3b3f92b7,7845a7d1,6a5b02f9,13354e6b,5388583e,546bdf9c,34cedd17,a9d4e11c),
+S(15755ea9,907f998b,f75d38af,d4716cb6,4ab3fd19,2a3b62f2,f597708b,33697405,3ae19c16,8fec504d,8cf4320,c08c2dd7,605e2fef,1d8ebc74,1330e78e,9803504d),
+S(2d2da66,d08289e9,f1674782,1214edfe,9de40a91,f1a378bd,e5802bc7,95023cb9,2e48b7f7,6dd20f2c,df2b0c18,1d5c691b,7836c6e9,8755aa05,62277426,53df2a99),
+S(1b4bdf1d,d34b1b24,384d28d0,27c404b4,2691ec78,3949b8a0,65615a35,ce5c6c18,33590a6c,679a3058,5fd82459,f609559a,edf525e5,7eea0870,22d60d8a,dc57af5e),
+S(3de0d336,b7bfa62e,5bfd8265,4a149e0,fb9a9add,6ef9679f,1e96b911,2f4bff69,ea44028d,b24468f3,bec7b60c,22c72efb,ae8f86e,90c3e2c2,b885b228,f7a1e123),
+S(55d6d2b2,9314bad1,ae87da3e,e30f01d8,8844d27f,6e85a071,539824fa,dbc064c5,ae68132d,6f412ca0,3d70b23a,cf88d7e1,2443da6,cd5c2914,1e44199a,685cd459),
+S(7ff2bf7,4696ee5c,fd709fa5,5d6bd376,b67fec2f,1c8b8982,64628e7,445cdc13,aa0f1082,f90052a5,c7a92350,cb3e27ed,9ad895a7,a73d4929,3864223a,b2640cea),
+S(6fd69f09,3f4cf5d0,26703a,a0836ff0,2dc344c7,ba36bfdf,c98fe932,c70ce775,a2a95599,4651742,728572e1,5a9854a2,3cead0ee,c7edf4a8,f79ec569,36cf300d),
+S(c644d73f,c2170115,78c4572e,9b8ed701,c36dafd8,e1602efb,8788c0df,a0b6ad48,38fa94e8,46ac717d,88862e2c,94e90e15,97a9144e,2e1900bf,1cb40218,e22cc2aa),
+S(864820fa,f8975085,f69432ff,2f638054,8b972f33,7b74386f,d113300b,d672cd3c,b08492ff,37610ff2,fe86d3aa,a3c62747,3be55698,f183bf58,f67872f8,cfc9cbe4),
+S(cc3f0782,8c7e73f9,a3cab59,be37008d,6574acb2,f7c4f0bd,4cefd6cf,b10c25e1,41751bc0,b9b0ada8,9d7e430b,600b00f2,987c0639,bd910c32,d1e8ede1,b183780b),
+S(a7c1d70b,73e901b0,b892059f,4968d287,7026847e,187766f4,7b82ad0b,e874fe5f,87a6357e,83bc6dce,d3a3700a,1536920b,b0dabf6b,2ea70f7d,1a88917f,ec51890a),
+S(f10a662,f02cab01,f47c6415,70e9a020,2584f160,8a69c02b,cc5509f,e54a7391,70422b17,3c20d128,30da1a71,57935a87,7d6db2d7,b7ee5272,5b756a5f,a0ca8891),
+S(36ae45a6,efd7f4ef,7f66a206,82d027f,25b8cdca,410901da,1152b2bf,2df0f14a,ebd682f,c4cf31dd,c39b23bc,de979cbc,7000724,8d4c75c1,dea2c62f,37823e63),
+S(ae3d1eaa,e04070e1,610c70e,190f599d,b2ed8dbb,5aa4be6,1af5c82a,83757f9e,6045833e,b1521caf,3303bea,eecff1e,a98477fd,ca29999e,4ff55264,24e87117),
+S(8b961a4b,917a59d2,4ad0f94d,fe7840e8,f7f6573c,61de7f50,b3814920,754e5891,3a198cd9,e2d40f2e,7d5796aa,fef0b84,91dde435,1aa57366,65263ed4,5f136fee),
+S(86d77e77,f7c5e4cc,dd2ff3a0,1589e422,8aa30d9c,162370e4,1ca47040,89b4e0ab,c0cf8d72,aa3b90a9,56bc8827,d3b33c1c,70707114,e3dab774,68894c31,3ecf21d9),
+S(ea77fb69,a07e27ff,a2bc1815,27a7219e,2433a38f,98a05f18,9faba452,82722666,38f055e7,cab474a0,79bd635f,135d608c,c0b8b2aa,b48de933,c2e48386,74e943ec),
+S(d5612e3f,304cf63e,23c280a7,872679bf,9861ae4c,965b79aa,db2e1ba4,cdecfd94,29e27659,26aca4a0,da8f3a61,dab6ee38,23e47fb1,36dcf792,181c958a,3ac24a78),
+S(ce8968de,589a9b5f,49ddb8af,eb06ac29,ea053b5a,ab3c6dcc,69dd132e,5f2d115d,26f18c48,8de54fba,bd476b9e,8a6d049e,25d3d750,b8fe9595,a9eed52d,1865b98d),
+S(728ccebd,7f098fd9,96bc257e,919961c5,4260365b,50f31d56,bb749b7f,6250b577,298522b3,d6e77839,97fc8fc4,5d4e853c,e530e768,6363b86e,8a68a717,fc5e4742),
+S(ac7e69d1,d7d529a5,42fdc047,f9094729,45fd8af1,4ae3d71c,246a7c80,3cc7b1bc,af4c4fc2,9680bda0,bd2506d,7f64f4f5,f7b891e0,c50fe059,3246f97b,ebe10d1),
+S(633605d1,9d61b598,da661292,2b6e5763,c765960f,c044c5e3,a4405449,cbd0fae4,fcce18e7,3c419aa7,85a55b57,41902cf6,855d2775,e8be678c,18388a0d,cd2b5de),
+S(ea93cce3,888035ac,5a187cc9,70e6232c,37e2d0cb,31d9b5ca,33e567ee,62948add,d842a18,e2153217,98a620fb,c6e40ec8,66c9c6e,aabeaa31,7d6a01e5,294a8b0b),
+S(75d25df7,63b00703,5e21753d,7e4cdde9,3001a820,6dd834a8,6e4e41ad,38e9cfd4,ddd41a0b,4528af7e,df820374,68eeba16,e2fecdd7,1378dea1,f6d0f734,8593233d),
+S(b28186a4,b7bb240a,8987119a,7114faba,d163c3b2,66349ce6,328ec7c1,62ab3fee,4aa77c0f,8db9be55,58488234,61d6206b,80ca3788,f195a47c,ccfb7688,18bfb34e),
+S(43638d8e,3331ad3b,9e4cda5a,fcfe5c76,b1a61811,1f08ee42,1c008d4d,187300ef,fa90b3a1,44d0f073,64734dd8,698beec8,8b916fa9,a7aa7d9e,d019d69e,5bad5af7),
+S(19eda20a,1ca63328,29a7404f,51c7fc4d,93d0ee1b,76461ee6,42a07c07,3d73a1ea,a6c5aaf8,6a9546ca,81689f75,68709261,642a2d37,d104b7b7,98a4ebce,f42c5506),
+S(f6a557e2,68fb6b99,5e2a9342,d5e4ab19,b95bf279,17285ece,11268477,427d092b,b10451be,cc64fc69,7801012d,7d58e4c0,17365faa,6a9db69e,fc7ae505,638e4204),
+S(bed211ac,c6fff91,f1baf145,27c8d007,1b19022f,13e54f41,3fc83b7d,1c9aef54,b97ef30e,a42822fb,fde43ffd,28184f8,fd58e314,ef69bd1f,b1961314,fe4bd3ca),
+S(593c25d2,f6059501,347cd47a,9658b04b,9fd81c8b,5754dd32,35ef3d51,c7ce052e,1e3f108a,c81dfbdb,eb544d31,d7892d4d,27d4e146,779135d6,eb2d81c0,c3ebe674),
+S(207d923a,211e86c7,7d8357cd,19b95bd,ba4aa7ee,61d147a3,a4149942,2a23ab47,92fae109,11615ee0,9a3932c3,7945aabc,6b14e5e,a5934a92,b6dfb9d7,a68ba39e),
+S(2c2029cd,d7aa039a,1b43c84c,5f0db4b8,8093192d,584818f1,f938eb4a,5c5accd8,35a55e55,41a70031,c5ac72a1,2a94d94e,1f467015,8ebfe17,70d2aeb4,76478cd4),
+S(4f8e148c,6fdf65c7,4152d84c,5462eb59,e6bedfc4,3ce6382d,db24d20d,43e0927f,12fd3323,143df955,9f3ce8ef,30203320,893fe063,b17a9f58,5594062d,4478beac),
+S(954cad68,1049614b,9bb5995a,f69868e9,44efaf89,5ef61aef,7d09e74,24151879,56c8e285,5df18b97,4147fffa,a561d425,c1d0b1ea,8cfae8d,4dbd3462,7bc57614),
+S(d2b06281,2acb2483,bf26dfbe,5a61fa2a,2dc995dc,835a5ca2,86fd2d33,b273a129,debd115a,2a711cc2,16ded426,d442b504,475a5f2c,d7e651c2,13b79f99,74ab9997),
+S(1682ab4d,ae292e8f,26520ab1,b8f8aca6,33cdd6a8,a0d585f3,5048551d,f4b6d354,80c160a0,9300aab0,f30df084,fa0bd259,fce78972,7f0a78b6,96562edf,d820667a),
+S(b9252ea7,f64ee2e3,4cf31c3b,d9e065ff,1e0349b6,3f6669aa,19e42a71,72312586,4e48711b,3f0fe7a,89fee250,b116862a,e00da579,d7e29427,fe2ad3c5,e0ddccb9),
+S(a1123f7a,81cc5e43,2a54785d,f1cc614b,7ebe0dd8,b6362e1f,cf41bd65,c3c4faaa,a0d31492,82dcf09b,2814c88d,d5aeb9af,2c16ff1d,3e1e05c2,68c8aa5a,8f5716c4),
+S(f47f6d8c,a7950f23,a4a08d07,f5b8889b,c30e8ad2,8510d198,3dfed29e,e47af463,6873567a,2820f91c,506878c1,69e98a70,f3d6696c,455f1752,21a4e1c2,44dc62b2),
+S(8efbf718,f124b5f6,807d3493,fb3dfbc6,f1c4f0a6,9ce81d20,3b13f422,b6ac1c88,6e05c0fb,77d12e84,64fe1b30,8207ceb9,a297334c,e937eee7,a9a45ea0,bfffb734),
+S(56a8aa37,ece2a01,5f0efa3c,41f541a1,a9078c03,39b6af5d,9c9486c6,93bbf553,fa191d76,62b7189f,9ad68823,8655343d,71e7527f,2e72d3d3,1d25a4ce,719c7146),
+S(cc2d4945,5659cd0d,19924df6,6be02e32,16e93423,9ab657ca,9003431c,cfe8e450,94a34e9a,a0814633,33b53121,3c375d6a,dd554ef8,cacee52a,a177ff9d,42cf39f0),
+S(ea38154d,ee6d08cf,50c3497e,6e15a1b2,d265fbe2,cb945a09,a34aec36,35f18583,d1e16b50,cc5a8d51,f043ec05,1992ec53,d7020cb5,5d05519a,25d364f7,e498b28b),
+S(82cbb42b,854e7f28,a2a786bf,6cfb4642,3fef958a,dc2fae99,5590d311,82d46c2b,96310134,eeaeb35f,5e2ae9e9,2c26e731,e0e65da6,b37124ef,c6c89e58,b7434314),
+S(5f23519,92aa09d6,1ad78103,df0a060c,e939782d,774ec196,c261d6b4,5e42ff01,7e02b11b,5efb1a31,43fbb204,d63a7c5b,8a04a66c,1f5ec292,277ed353,adb8f95b),
+S(d182f035,18ea0c6,a16056ae,a071a1b0,920d7a9f,37137429,5fa89f4b,1b4b229,268c5c3,f0d47748,effe1eb1,3b1b5340,4f61da2,6e56db7c,f2e35d89,a6bdde8c),
+S(51e72ca2,3f22bfd0,f6405e3,57ba5221,310fa8f1,fc054e30,a34a0271,3051e9a0,307f4e74,b97c917a,281acb4,25d1df8d,ffd5e578,9b1d80f8,160c1ab1,ed79322a),
+S(bb193d73,f08c5946,faec6f10,aa13f855,aee34bc0,c4b60c3d,2ae0c37,359f7b83,87cd0d87,d9d83fb7,3b382cc6,35d6dd63,29116267,5f1e3647,ca62a68,fedf7143),
+S(9aa07141,e67fa1ff,cc307760,5b73625e,f804246b,a4e8e568,f0a7c111,76c61de0,b58aea99,47244021,1020a64,584172c,21c6f641,a14c43cf,377c1f68,b8ced736),
+S(aba5e67d,8aa2366d,e77c9d58,1e221fa1,b0f0db3f,2d3679ab,dfffc4ea,45ad84d3,4fbdee40,48ffd408,712e17b9,2b9fbb67,ec7c9ed7,e6ef052a,b8dd0ecc,62fa91f),
+S(bb9a0c87,e1fd476f,e8cac1fa,7f6cad71,78297b32,9fce8d9d,332758c1,1a8ef09c,a9c38e66,add0e7ab,538c62e,fd7c2eaf,3ee221e3,cdf581ff,3fcc1bb8,bf638332),
+S(b531f3ba,bb94cf91,b492d253,a36de81c,476360b1,91ded661,7eecff08,403eefec,3f653457,6dadc53f,f2a268a0,b8389ad6,a21653aa,c4b65b72,758fd6ca,27f3b570),
+S(f7e9407,d1f8f9de,182e273f,98984d57,de4f7c61,227c98ad,36589c2d,64728812,f3f15a91,8d2a5c47,d7fabf29,dd2a2380,73ef645f,924d04ee,31dea489,f6882844),
+S(3aacd2b8,2013ac34,75a7cb05,e52c1853,c10f7b66,68e5f8fb,eaaedf64,342e2b82,2d33a32d,7f745929,3915760a,4fb04c30,f649541,a246396d,8cfefbe4,26f6573e),
+S(f11a09a7,edc46b58,313c31ea,93364d17,4940c58f,8a8fcc4f,2bb132d6,bae01730,7a42dec,b0eb3b71,a400cc5c,4ac848aa,1e3cebcd,c38a1407,3eb6f568,6dc68d5a),
+S(642ede12,2ed16043,ca028a10,e014fcea,52d6a3a2,9399cec0,afff3009,598e967d,7f86f11e,f79a0e2b,66ccc91a,3164617f,f08c85db,c4f1e4f2,a0972c43,8e15b6de),
+S(a04415aa,28f065b4,5b60f57,2f665229,dbfaaafa,e8c0561e,9e37e1a0,79231a49,a32b2e0a,4e9a23af,58b398a6,56aeb0ae,6a98ba4b,abd1db60,8959da55,14710f08),
+S(b0904d2f,333c0cad,9eb4f5b3,ebd1c176,3488ed9b,25f640a2,e9379df8,b4d170a1,ed8bd456,999ae102,edb20bf8,3f903319,97233e29,35e1c52d,13a52cce,32a5e958),
+S(e50f98e1,162614c1,6f2effc7,4853d7b7,2fa13e2f,2fc0b864,dfa1656b,2e1a0a40,5e7ad119,80f9533a,bd541065,c1309f90,1eb49aa2,34386f14,88ddc3f9,3406e986),
+S(5d6772d0,2007fbef,4d385766,ab4b4fbf,1b3fc017,6f883d5b,395e5a35,763c9e12,f4dbe650,89e165c0,1fcd49e5,5991db5d,3cfff2fe,1730862c,3f3105d5,a9433e6a),
+S(c971d45e,c78b70fb,70d2e4b4,b427b82c,4c569d0f,1d9e85fb,e4703d27,58fa97f,9c148ffd,295bb61a,d3a34548,625a447,65a7599d,5d0da8be,c30dad98,c735440b),
+S(f118ec13,304f8826,bb744d7c,eb87181b,fe25c3a5,ed8df1a0,eb05bb65,860b738b,292a85ae,eaa3cc59,3dd8adc,64fa9e71,2824227a,2139d7b8,5720b289,f1ea54fe),
+S(6b38d88d,e7629ab7,82d2af4c,93a62371,bfaff595,d422b5cf,b12e0fd,1155f5ba,b1a49c69,5439c867,5f491cbc,e3c5971d,87ae5a60,faf13c1f,7cb9536b,37f780b4),
+S(95c357d6,24a2f744,d8989a28,8bdb7c0b,241413e6,5a26c877,8382270f,c291af61,142845eb,991aaaba,3e755ed4,3ff0afed,34643413,5bb13034,43b21a83,4f3c0e31),
+S(feb4122c,23e68298,f4601b3,edb1de03,b7137341,6527e483,f16a14b6,660425f7,2b7f5ab8,1a2fd416,24d3fd71,781be6a5,1e8cb43c,7ea8265e,e5d92978,30388bb1),
+S(bc0eae5c,fec4873d,5d34f0a0,86a96ce2,51369a01,ad2d5137,746bafde,a574d9a1,1fe1f281,999033a4,39f4c0da,5c1cf6e2,365b139a,29f82785,caadebef,ba5de3a6),
+S(93f71e0d,d7ee6b9c,a017de05,db2a52e2,d2175cf0,2c1aa194,1c6256d,74907872,1bd2c197,6108b712,27e0bd78,b0a2a036,6564c979,5d1ab6de,7a12a0bc,3913c8cf),
+S(f8388a97,45191a86,efda904c,8bc06801,faa3bc37,8a2425dd,2dff9a4a,4ee5d7bd,af2b9260,c452261d,584144b2,91b5388,3eeb5014,c0fb0a89,e8b78f0,9525b5a4),
+S(c7e727a4,a0fc2d3c,4a5cdea6,c93049a4,52d3646f,35951918,eb379c56,50c544ad,37f5bade,6d3d9076,45a4154d,7d30ce2e,cb77a3b5,695080ad,bbdb8a33,4c7f7514),
+S(328eb6a4,7cb82340,768d099,45902d56,3707c86b,261b9ce3,aeac6734,e76c4d48,ff1a5828,4f402090,c32f7b07,7e8c3098,7c3af703,604c22ca,aeb4acba,e7f52c97),
+S(beb0522a,acc84b29,e0ab8233,6ca02733,9b4df195,bfb01a18,b38dcb3b,7c8a1e21,82d7508e,9491e2d3,d74a4229,df4d6020,1c6a86b8,a3a448c4,35dd20b2,f993e6b),
+S(d3dada60,563278d9,38e48e79,f2e6bf8d,5caf0f90,affbdffa,c30d6e06,3f69cee8,8dc2beaf,34b916d2,b542121d,8e181735,1c55a766,ee46f2c8,bfb8b7e3,d5ff6826),
+S(42111151,45ecbd47,1c8a812a,192b3a7a,ab43cbf,ddc49dcc,5a92f350,86069c33,f9428e07,f33cbf7c,7afd7cd2,f6afefc7,b0fa30c1,ecebcf92,30e20c17,7d94aeb4),
+S(bc2034dc,72217bef,895c8d3e,5a5414eb,882e8efe,3dc8cb0b,cbab0edd,1bbca0a,141caac9,de3a48ed,ac6eb47a,fb195238,f3784171,4d7f3807,8d492a9e,a70d386f),
+S(b8035a3e,9bdac3c2,58da038,5de2ee25,98ca621,d90db03,4057b674,21e2bd1d,f7af5751,a8e51665,4cad2e0c,61a94970,6b5151ec,1eb07cd8,1713c716,7a44f357),
+S(740fa667,cc333c48,4880eeac,ebbf5fc9,34d3ac55,ea04d8c,9365e5ad,c3a404b7,33893248,b4e2e874,8694ac43,d5e6aba1,3afe26ae,3a51a613,d7e0541c,d9ba91f4),
+S(673c1c4b,16c6a75c,28725630,340aab0c,8a7b8648,4b17714b,c955f160,e3ee09a2,c3f99423,2521122,d0dd518c,d9fc94cc,5b4c836d,9665cec1,1a024995,342f31ea),
+S(a74784c,dd6cfd32,972124a5,dbc0233b,f0222de1,9f90ac0,87e95ab6,f40c62bf,ef2a3085,9a86e0fe,f96b2e5e,b7a63820,122e2dcc,a4f2102a,b501f2d8,1a88378d),
+S(db1d8dd4,bbffccab,bf1b90c1,9b92535f,4ada68c,9d3cbf86,c0d700fd,61d4beb7,ddaaf64a,54972f9c,ea2c2fd1,27e17223,1dc38360,6e0589dd,a3f8d62d,80c0a5be),
+S(ffb9ae70,2307914e,a9e4160a,1cb68f84,3fd03778,8a013f2b,f9e1d725,b09d8b40,352b1e7e,69e5afc2,6eae5b56,b2b7ba9d,ab174019,a03df463,ba510aab,c4c9e859),
+S(ed27b183,29dd25c3,4a760942,b1aad66d,a1439b86,250db95d,98799c63,a9bf2fa8,8460eaf1,554c31f8,5c6baf21,126163e2,cfa9d290,17bfff10,9d295c8c,ddf391e9),
+S(70a453f0,52682a36,1dd33a79,a65e4080,7bb95541,5d0b0c72,ca3d2b15,7e57bce3,2e40f3c,25554c85,cafe5e78,9aee14a5,131ba6dd,b9edfbae,338e8db4,653e908f),
+S(377a14ea,78d4f864,5262ebc0,5f55a310,6a329376,be0d567d,a327988e,4e1560ac,ef069fd6,264ab8c6,b290c4be,6558cd27,2745d9d2,7ea22521,b79524e6,230a7c47),
+S(39fb1a0a,924546aa,ee6b8f4c,65218a6e,56ee0e2c,3833a784,3858eaa2,f57f3399,e4bd9a53,8419ea44,30b041b9,e93186ee,d9ba4846,b6125f1e,c549f34d,ea5c2f87),
+S(d255491b,62a9ffd3,5512555b,4c413eb3,b412ed6c,9b585baa,875c5643,70d9aa00,da4094ca,fff6616b,51ed389e,a5b9b3af,641f872a,7166427d,d24c5973,be24d067),
+S(342d8017,5754c01f,504e6c0c,c4c6c8b4,a1079dcd,89de2927,a3227a1c,756de1f4,de8160ca,ad4a4f31,791fdbdd,4b9ab3c9,db9098f1,2db64ad9,d6f90ba4,a9b13a6c),
+S(92e8a7d3,d4e8bbc8,4427ab1,a35e5a0e,c2d81c04,c98ff34a,325b4abc,2863fef8,e8bddcfe,876f7c55,86470c56,bcca444f,fee67417,8a592e0b,b9f5b1c3,b2a7e9f7),
+S(eef2dd87,66dd8259,fd821f30,3771574d,4477283a,614e463,d81238b5,b08141eb,39a91138,ac12e0eb,da43724d,686d9207,1db46682,746d532d,55426a53,87b98023),
+S(2efc16ec,974042f8,b1a91132,2ea4f521,71f76da0,196cba89,12faf48a,cbab65ce,97c0079a,3151c8a4,7dacf1ee,25bf3157,48a83cfa,1f3be2ce,1954731d,a2cd56ac),
+S(3d2def4f,dcacdfb0,8dbb75e3,1627baf4,6deec0c3,6c4bb3cf,f96f13a1,2066ae14,41ab6cbe,eeae8634,2f95027f,e472834c,e626206b,3e1ce1a7,71b717a3,39e5827c),
+S(ea23f622,95a65d24,162d88b7,6a577b64,1abca822,1c29d23f,56e4f929,a19dbe10,aaac26f5,c8b5bf21,38a9dd73,8ce69b01,6c6b4f82,4685fa39,c2de56ca,3c58b664),
+S(f01557e5,ea723ed8,2d5e4e02,f4358ef5,5b0234b8,182bd4c6,e6310103,768eac09,8bd31626,7fb3e7e6,ae828401,fd00712c,9f4f4c7a,cee8f708,4eae9da3,38e12378),
+S(1f645466,d562b0c,4618217c,4cef306d,7156a5e7,45327a55,40619bb8,2934a8e3,cf9dc7d8,e7c1c0cd,28d9bf5d,83a7b33d,e1060c01,eaf58d4d,10fde41c,495b954d),
+S(6fa762,97a3cd7a,9799f3c1,95f56864,c5a8ad78,f4014c53,1dc83fea,244003f4,3bea377e,9183478f,89f94127,3bf5222b,148ebfd5,7125fe96,147243a0,d07c14c2),
+S(71061b69,c5a32537,d40254c,fcc5f67d,cd4a8,40911295,8a8e3f3e,5f060a6d,a980fae6,eec78bd5,3c926649,96239cff,eaa10169,7580799d,5b38ff74,8f0f7a78),
+S(518db918,8ed0bf54,75234c9a,7e9c0395,8796645c,89104797,5a8602cd,e7401e3a,10c50bd0,aa0fb6a0,62b964ff,65a5102c,d6bbb192,3dfaf2d7,edfbaecc,77cefbe1),
+S(6f7fc8db,8d00e22e,6f30c093,573d9f5f,fa939796,6ddf5a59,6126f896,88e99dcc,e417e5fb,b55fc324,1a283315,3ff234e0,c9ac49c,13ae48f5,b84941b0,702a7c08),
+S(1e09fb70,ea2c11c8,601fdaa7,7734b369,7e5efada,77b38869,8553d4ef,e1bde2ab,b8bf422e,c93c03ce,9d9ed0e,de058d20,e0fdf535,63ba16cc,494d6648,fac3a027),
+S(54bd2f4d,961177c0,dfb4814e,bf5eee4e,21b12ca3,eaccea46,e70e117,76ad1fc4,358e0d73,79368299,f33ddb71,1722c2ec,8912877,c3891c8c,bc55e453,7c803962),
+S(53ca166b,2eebb5cf,59a35287,5f6fd200,dda76f66,e3341ffb,1adb783f,4a1ce584,ded51d62,7769372e,42540e0f,20ff4a3b,2d912b4,6eaec7e,4e891ec4,18fcd0ed),
+S(dd28eb5f,5fccf394,81467a6e,746461f0,3e4cdd04,6e7e6f36,534f6384,daad4ab5,8d702671,6e5e098b,648ae87b,6b782374,a2a3eebc,eb4e3835,470d4831,1f7dcaa8),
+S(ce29f160,90fde1e6,13cc16cd,16cc7b8d,7e6e1203,cb1f1b5e,a724d65e,4d91aa28,d44c4dc7,90586159,ed9f9d18,dccfd95,e24bf6aa,c1bc3530,ec871473,330680fa),
+S(6d25e798,ea08596,7cd9e0f2,da65b546,8e885d92,ed8cb0c0,8a266dc1,6b4e222,1d18fc8a,4010f407,aafcc995,8fe38f89,fa5f6260,e3288f8d,e4d98f94,377d624e),
+S(6deeb20b,cdb46236,969035cf,58365ea8,224830a5,6cc187ef,6d938353,920ffb36,b19d7a95,b829c318,96d2833b,9277c9b8,7e28c6cb,c81c4c2b,d114afb4,c5266c55),
+S(72c4d5e7,68866f63,b53a27c,74ef9b43,35e7fd11,2e13db1b,93654078,f625574,ed233d0a,1994d701,62869eb2,b7a2cd20,d82277d5,3109a9c3,e6e97f47,d727dd54),
+S(79efc60b,64c060c1,a142efe0,5dd75ed0,a5b4ea0,85e5a10f,c6620db9,92525420,101b68f0,6ae4a3ce,2e33f003,1ecc3b1f,11dc24fa,d9f28a82,ebb2f5f8,380b3c8a),
+S(a8cb5ee,ee7550e7,41f2150f,2e458dbe,f8d32b87,dcacf424,5cd089f9,7cb6c0ef,fefde564,3f885730,d60fa2ef,c85f4b16,d86d1690,3b2a8bb5,4b5c18b7,73085054),
+S(dd8e43e6,828c9363,32793374,9d29a822,66bc8b1,4e320750,3d415831,bd7373e2,5b1321c4,744cd3ae,9348ed3b,5e4cbdb9,5e1d7256,e7ddf7c3,fa1fe9dc,494469a6),
+S(8ad3b3e6,a237ed9e,8f94d669,2f5a7725,b0779bb7,ae06c57d,1c25e449,4c95479a,45b978b8,500757ba,51a05069,32f17d9a,bfaecbe2,2cc63c1,5a9b617d,98b071ab),
+S(cb3497d0,7c72e534,75618cbc,29224ff2,17fb9659,9d51a6e4,1559f323,9c699c4b,72914c58,8daf6396,d4d9b70e,9476d967,aa60e574,b637ea1e,25c20fe0,1355509b),
+S(fb77666b,b8c6cab,ca7ecb4f,e88f1e0c,199a81f1,319b6a6e,9cf2dfc7,e9128147,f122b377,84326ffe,21a707c,a3bfe74,2e433894,7c791814,855501ed,255a2ab4),
+S(f2f16cf6,6a9943b6,19b321ac,76186ac5,6e65c2c7,aa9c87f0,15029f6,36749c74,aebb617c,88115519,58f90c87,5f021df4,e3c83e22,9f787275,db39eb05,9b3d9e82),
+S(607cad82,2d0a117e,cf29dbbd,c7a5c6cd,d4b67f7f,6bf6271,c58de368,50692907,f2344d08,4e7db14f,70463f4f,20e9c379,538f0031,285d9c6d,1cd33d5,beec40f8),
+S(efc8352e,dff912a1,936ca01c,18da7ba2,c9397f42,2cd58738,4ce321,4baac332,52006389,6229a8fa,e24e1686,4c5a643a,425e20ef,46febfdc,7d9c43d1,f767ca7b),
+S(63d31f76,805cfe95,4db3470a,1d7215,505fa39a,cbc69048,58f801fd,eef99804,97cd5656,86da7de7,4d12cd9c,6e5b0c5a,c4f7f22d,3d44b372,a907c233,8f963e7c),
+S(7e64f2b7,c2083661,8f2e2d21,e86ffa91,be646231,c61ac353,c32cdc25,953a01c0,c9222645,5b1ccb79,e00e905,2bf2c9db,91d41728,58e46f84,811bce9e,8b0713f7),
+S(b5f29487,3a276b67,2d2de980,c6f74a23,d7bb465d,e9bd3362,45ca65ed,f942b85f,76459975,a0569a4,8b2b463f,375be7b4,f05e1cd3,3ee33a75,61ea8292,850d1089),
+S(a0f6ba4c,b52187c8,9c4b1218,b7f57773,94551352,61582217,7e649893,dc3cbd8e,94d62e8,8f584baf,f0ff883c,1ebea341,d71f8bc3,59807c6c,eafd845d,361f09bb),
+S(ef4130f9,88666de0,2aa37978,daaeb7e0,fbdddfba,d8953c5,6011f839,e974d0a7,322d77c3,dcfd1537,99043ed3,339a2b98,87538059,714a459c,1ddbc6dd,c9e720d7),
+S(d6fb60f6,4b5409b1,7d10e23d,4f311d9c,4af5dde4,f1f07616,11e0eafe,13c2bae1,72f99e2b,bc790349,144b0ebb,67b35ba6,a62b94ec,b8bda4ea,c32de255,bb071651),
+S(4f69ae06,8930b9aa,bc2bec95,8b3f28b4,5b488e34,c3ac0dcf,ee05368d,1f7d0b19,b72573b5,b86157ab,1e414c20,c0e073a2,e583f031,ddbd4141,1b3e26c3,e3447d57),
+S(9fe97728,7de04cad,e939e6ca,d32afe4f,865b0423,9103850d,688fd06b,db10b2be,60cce398,c46ae002,a34a9ffd,d2ef6045,23f442cb,9f7ef392,ed292ce2,ce54256a),
+S(b328b5a2,1adec912,66aca0c1,98084578,59036c5d,be3b6e8c,a9476b95,6954aff2,355076d6,a48803b5,fce76401,4e5b9e3a,d7f3a270,a7c50cdc,442fa9c7,71a3dcdf),
+S(f8d16f5f,14885b0b,c5d556d0,8f6050ac,62ee00d7,c3e5ed7f,2ff6b8a3,54e54bad,dd483037,70d67a5d,32e7e58b,dd83dec7,b5c8e14c,a26ae5fd,58867401,837a332b),
+S(422cc48e,415b2e68,7ff7896a,b32fc6d5,e3c433b4,ec2b511a,42178b6a,9ffe73ca,664821ae,781b98ab,c6f08fc6,ad11a76b,aed4429e,b7e879ff,134355c3,4b4528b9),
+S(c8bb5046,1e4bd041,afd84d63,998dca63,de940192,7314d666,7c19db57,a8f629f2,1455fd5a,945165b7,2186e9de,ffe01764,108d6f03,bf4007c0,53ec7b8a,a6a7d07a),
+S(7303bd5a,4e82fd3c,a94c94e,c2f4a06a,7d60c272,b2dda534,48eec8ec,ffdb80cb,7c593252,6a031a82,673eea15,263523c9,44f3ec0e,975203db,7cc302ca,83316c0d),
+S(3455bd06,7de934dc,301f4a47,807106cc,24e3d8fc,9bdce088,4c1d01ec,2250dddb,d48aee56,e99cd267,d2cd8cc1,ee9fc3ac,88cd3d6a,2e58aa97,6586eaf6,e2052db7),
+S(a419f5c3,a053b04a,a7137049,cc9452e7,268f43fe,528d7232,f0950270,b9d5c2c3,dee8994f,b9feefc9,d1f5f529,5444214e,2190de46,5a514282,5ade1a46,c439c1fe),
+S(31602357,e187796,39867d23,89962d8c,3d5e9c35,7a2ace5e,83b6397a,585d5a73,21168419,4dcbe58b,95cf6e85,dc6040bf,d62894c4,bc5abfd3,e42603f6,ef86bae1),
+S(3a0395c3,ccbc8006,a889e8b7,f6de9f70,44f2cebc,5c595f40,9d632166,c35831bc,25705a8a,213464ed,38fea19c,e1ed5ca5,2c0f8bbe,debd4388,bc8565a2,faffdbf5),
+S(88067788,1627b285,336ff69,3ffd3728,6d0f154b,b743e273,2ff29598,178f5f17,c0980505,2fa7c70b,fd34ce6c,f27e5197,3414cc7f,1f57afb1,18385e9d,893963d0),
+S(e1e1edd,146391e7,aff005c8,8f5d1347,5b393ef5,3a017b17,84a6dc4a,e29f5b18,e95592c1,5005cee1,f27c649b,2409c3f5,71870c85,c389861d,3e285e7e,7754a3aa),
+S(113aebc3,2beb62a7,6e57a820,1c3602cf,d654ede4,d58e10bc,3545d84,cb406362,afc21a5b,5155c143,45bf5b47,50295ed3,db00ed7b,ae83205a,a0c504f7,fa5a2db4),
+S(cdb6f34,7ba8177d,57e58fec,f22424b,fd3a276,96d386f4,9abaa40a,7f03bc2a,8959bea5,7d63b46,ae5d4d34,358a49ee,142b9b7d,137bb2dc,f4a937c,45338b08),
+S(f9e9688,15a87cfc,85c00d90,2d7ce467,5086c566,49246f8a,bc655dbe,c1c82882,7152976c,19e3aa37,aa63d7c1,b9b45111,923b3b7a,df49dab,ae50226f,f39c1fb5),
+S(7e7c0a6a,272ca295,c7ff3de7,906ce47b,9470e583,6afd4218,67143d5a,ea1d67b5,b66f3565,d68d55e3,b7542ed8,2b12e217,e4b47879,d9dda727,bec58094,da9d1886),
+S(72995966,366251e4,57009324,5e29989f,f15670,af4acdb9,3eca8d47,3d1bab8b,9a8dc60c,3232eb18,9b454b51,d9db82b3,dcce9f54,e30e430e,26aae1b1,221594a0),
+S(973afb4c,aa2688a5,b7e4f679,e68c2e4,df25ccb0,d56de80d,f6522000,6eb4dc1c,30055694,1c0eb266,906933dc,9c1758b,7a6181fe,8c400191,bbd978b,13f5f55f),
+S(2d550e3a,f5b2d5f8,3cb4c695,431ed8e,62344236,66eb0eff,7759d4bb,39fa2dc1,5f6eba0c,e447bc92,70d35709,87eb9b17,89e7721,a7ef2ed8,8f749dc8,37dd7e71),
+S(ed44931c,7d509be8,706150b0,3f24426a,571fde4c,e7b2d3ae,488a3576,37f6ec28,48e05525,e9b38639,6da1fdfc,40a134b8,1e05fc60,c7bccfee,8a8ac358,e9fd09f5),
+S(6de88a88,b7b34f50,a8990a4a,742bc1d5,62d6b332,810451f,1c0081e9,18268975,5c435e32,379e62b7,46ed6518,b304ad1,65130b66,158cf41c,5418e490,edfc5535),
+S(337611a2,907cdd12,c6c482a1,9b89fd74,1547fcf4,ed6ee721,cbcb66f9,b90967b4,1a438459,eac97f8b,53e45562,4a25ab67,f52cc6a7,fd3cea42,5ad08dfb,31d6bd2c),
+S(aff600ef,329fc815,d36abbf1,3eb59530,58e74ddb,9df425e6,49662123,d8c429ca,ab8aa32,642dbcf9,994134f4,65a9e760,ce8cbf17,540d2f3c,fba6a31,9eab56f6),
+S(4b15c510,47c6cc2,309c7eff,d3124f66,d56198a5,4da997f3,48f35fb2,7250504,5cc00333,f6399193,ff90ec0,54a726a,fcc492a6,bde386b6,57e481f3,18000cf3),
+S(4683f46d,b9cda227,cbff9940,23995184,92c61151,a67508f8,5629945d,42a89345,cf1e8d43,b85cd621,2da2bed4,ce556ad3,ff0abd6a,1d40e445,629d727c,1e072e3a),
+S(9ee0eea4,850864e5,c8239602,f84a9044,b966f84b,1aac7690,3fd096b8,fb09145d,c4c0698,e2611fc1,c7bd1c6f,f86e0fc2,19e3532e,defaf5c4,ae79410,db9e94ee),
+S(ca4b7b7f,e02e953d,e622359a,f1834997,e5190c70,c149430e,d76aff1d,e166a0eb,e899496d,bca56f10,f2823c41,365400a2,723ea0ae,72f062ad,c36c0bb5,8e6ac820),
+S(cf62993,f5be553f,a7492b3e,45934937,4536aada,f8db809c,cd01fa40,49364a2f,fda0bda9,d0f450a4,3c95a5a2,1526fff4,1b63c08,8a320b2,1ee9716c,cf2613d),
+S(cc35c60b,288f8ce5,4120178a,dbac3e19,6e76ebac,159e45f,43afe82f,c034f459,8a6657e2,f8b99b03,3c6e29b6,f3bf373f,c117b6cc,f7ef935b,43b9a1d0,890d8bdc),
+S(36a1bb7a,5f4ff871,b5ffe08f,90ecfca8,7c19eb0c,d110d770,20aff404,95b72e0c,1750a693,51de455b,1325e926,75dfe3e8,94de9f37,2d2697ca,954944f5,87d8706f),
+S(a04c1bdc,7ec653a,fc549370,25d202d3,1bb7c21c,73de8160,160693df,ce42b5f8,4dd93af4,37e300a,8452a7db,af6824b0,e566a935,632c3487,f768988f,d874e74f),
+S(484cd2a9,99cec03d,85872e48,84ee50f5,2172089f,8f1aef0b,d3ec6595,2a228a86,9a65d51b,bf64776d,53e40da3,85b84485,3c780342,6952446,35a78ed6,e1cefaa5),
+S(398f027b,8ef951a4,2ad7c665,f5fdfce1,831ecd67,23f45154,62c636cd,db3b8a64,99577f76,a6a3b0bd,ac4d50a2,24c10250,727ce349,856f4e7d,eb1406bd,62d9b36b),
+S(d62300fd,a6d242df,58be11b4,fb754306,62dcbde4,6e86b1c0,d1419da9,99beb256,cf11becc,84928784,d23a74b6,4dbd8ce6,37a1537a,3d9d0f43,17803da6,d1bf5e97),
+S(4c41dc69,be8c1aba,9da4469e,2c1e3eb1,14b07fb2,db63785d,da03c53a,faf0f147,a83d7f0d,fd92a665,d73a2f8d,520f1a2e,ad6b2465,57ae2736,9618d10d,b114680f),
+S(9a5086b0,1ba7ea1f,6cbd3be4,8acdf6de,29e8f733,b120aad,daa7e41b,3b1b2708,f4eedd2e,814d1f5c,33f44080,e4d50452,4deeba2b,4b2ca528,320bbfa9,cc3c65f3),
+S(a457659e,51a7154,e5836fd8,4948cb3c,227986ad,f9fb8acc,89a3159f,d723b478,5c59c117,4e9962dd,94f3b084,8a544983,54ec4962,f0d666df,889c420d,78845ae2),
+S(ea79c22f,13e6cdd8,e282defc,9cd6ed68,5d39b48b,c6c13c55,3bdc8aa5,8a90f78f,87223587,c3cde568,81217ec8,ef0dc431,89af8095,d7e9f82a,86142207,d8b5c356),
+S(e19dd143,cd0a9f3e,8535edf4,a3dc7e7a,4c49a25e,1771f8f0,3fb5eba,1a9e10d6,d15a39c4,86b79714,89b2afb8,13b412b7,c1de54c5,c3fd2ff7,791bfb2e,d6a498c),
+S(c7b277ed,9bada568,2f7a87cd,6435e0bc,948fcb1,2551ad92,e188b664,fb5f59ca,7d1e37cf,3093775a,1b0aec4,93b77c92,f6d6f32f,a1d8438a,b75add39,70b5eb00),
+S(c1fb0836,5dd42214,2098c397,b11a63d6,43afc082,16c0686,d1540d4f,d39f2f85,438d6559,d07fe7e4,1e775a3c,66e79f30,a065a62d,fdecea46,e8ec0967,a5b5b8de),
+S(1a5b6bd7,152c8c0e,6958cd5c,9344bc7c,5d7869f6,bd08d698,88e69e49,8ae62ed2,166a9f1d,b2b3a729,e374af09,40bad6ff,7646504d,36d40465,2c826ed7,98195f0f),
+S(8e3f1e45,42438eb3,2635c65a,a817c325,3affb9b1,a1603d0a,d3fe06a5,83cf338b,e6b26e2d,9e310afc,e702dd5,4bcc2815,1dee0a86,1e31a16b,79fa0900,f94e320),
+S(ed9ffd27,1fd7b569,fdb187d2,7d1d97b1,3a4b88bc,aa13639a,62a6b45b,cfd00dc1,5fb45391,d5a636d,1d757e5e,472865aa,556092e0,870f45af,a325e26d,40f755be),
+S(873a3db9,be376cc5,f4516913,d8235555,624cea02,16c3231a,72750c44,12cf4992,3d5e2304,2b04870f,d3cb61bd,2f618b3e,4f1dbd3f,2b585026,fcebe608,7f0a5a03),
+S(d3ef70a,eb5ed2ad,375ca185,69278cba,3d037dc7,b0f63ca2,442804f8,1840e686,f4bae13,fd55a2c5,ec93a87d,c2b4134c,aba2fead,39dbb555,29d70795,45a9488c),
+S(d2127f38,8f3b4e7c,b0d24f80,27f27e55,fca1110,288a1c1f,da46441b,21327919,18f2b4b9,69df9a42,1a87cc43,47e2ab53,146d6b82,fe3c19ef,2df361bf,579cb3a0),
+S(5e73dbe7,e8961e0e,32b9af6a,4443623c,cd3f992e,b024cd1a,59bfac9a,ad6c9f4f,4d8299bf,b505c0f4,5835cda0,b7fef2ac,640a5835,6a7e498c,b0f34480,34527405),
+S(b9eae3f6,9af01cb5,48cd994,db6beee7,7e45fba3,782a9ba2,83b340e0,fa89bba1,b7ad76ae,189735b,f4ad8e8,dbeabe72,ed40b2ae,2c9351de,1beb1252,d4424b65)},
+{S(458f8dbf,9cef8cbc,5d2046c7,42ca6297,e8fc76a,ad22fd3,af4f9a8e,2173d857,57074c8f,14a36b5f,6924517,6e3dc7b6,4d12a08d,8d00565,e70e0ca1,56f29820),
+S(68e7cdbe,47bb0fec,37fb7860,a71533f5,5eddfd2d,8ad7c9ef,cc266009,65c627a7,3bb96d5e,f0cf90ec,13614c2a,c46039e5,e6e30782,48f855ba,8f8bce36,f66b8a90),
+S(c220e26b,6d3cdf7b,b1cf434,ec5fca6c,eaec952b,e61d213,16601ec,6e06b259,3fdfaceb,268183bb,9914c5ab,ae804206,a3711bc0,d649c407,82d3d2ce,93e350bd),
+S(fc458625,75cc7343,312902d6,8e160a08,f82fdb0d,60df16e,575f893b,94592e52,e2236fb4,e6af3e39,4faaf83a,3c6b418,c560abf8,eca40f29,d3cb91e9,e13a8ab9),
+S(7afc4446,f445a33a,64fcc04d,269529f4,1e16f567,550a8280,4027bf24,1d08e895,3ee4443d,2cb04a,3643f6ff,90c0b3da,a43c8333,82c62d6,5a024a68,e7e7f06d),
+S(4cea2d22,d19a898e,fca4a7d7,499252bf,1957379d,a6004,df9c7df1,60dba4e0,c97fe09e,84024a28,ef88985,6fa1feaf,bee116db,a88962eb,36be946b,d2da76c2),
+S(633cd50e,b00633ac,6d5b1bfc,89d97e24,abdd932a,ee9f265e,95dac73a,65627e0c,750ccac8,f09d9f86,7117781a,6b20ce6b,6a4bdcff,7ab04769,a8dcd1d2,c541bdcd),
+S(20224a29,28ae9e78,87bf4242,67333b0f,fd59349a,2321b8b9,c28af552,c98fa7a4,94944b75,4b6a0ba4,7c647332,e9369b,dc57f98d,5a010925,4bf6d2a4,eeaf88e6),
+S(29d9b1ac,7ad67ad5,ce2e965d,e7ddadeb,43bafd47,f0fef02b,2f553693,1f45029c,dfa93352,cf5dd7b8,3e5a9646,da2a3f3f,152372bf,285b75dd,1517e6f1,7859c03c),
+S(54859abe,18867be1,dc85a087,4cc7237a,597bce13,866686d9,43e6bcac,ec4fe7f5,1d956ff9,31259641,1faa0b22,b2639487,d0392514,58c5eb8,7918fc2e,26916864),
+S(9c3c1ee2,ad3fad0c,e5e6ad1b,9b1f5875,1ad30927,9aefb1d9,4e8f408,c3406d42,b31e5e91,18bbb027,f3ab9d42,ba1cf854,753dc66,641cb367,7e8db07a,4b7d4fa8),
+S(c4e812d,5a640e68,70a42601,694341d3,5e964f04,fb52f1bb,819166a3,4fb8732d,f9494ed1,b776c04a,769308b7,4d312781,5f9c3d6d,c7ff4b17,cfa1fa31,87435938),
+S(4f8fc5f6,cb4e73e2,e24b94dc,63aef340,b871abe9,2fb53525,ef0ac7c2,e04f571,d81880e1,b3d0c55c,8d28bb51,5f1a10cd,245fb5e3,70eca394,d80ba83,d7615512),
+S(2223062d,f1572257,9330efcb,2c5a90f5,6d9c33f9,87ef9b9f,9c79db75,dfde7b49,8fbefa3f,37c855e3,ca3732f0,2d0c0c60,b73384a8,3458b05b,eb74da89,acd6c1f9),
+S(cb3b77a1,defe7162,63ad33b3,5db0ffa2,e80d7,e00dae7a,91abeec0,17fb2a8f,29cafee4,8cda21fd,d692d241,2358b229,559d7b2a,c93e5eec,9e4e7386,728dcf62),
+S(cb520a70,3b9abc62,9a039af8,ef7f8f50,fbaaa21d,721c1bf0,d2f680ac,56061581,58643940,fc79dda6,35b846c4,fdcab298,6a2969e0,16886e,93ba4532,cb03140e),
+S(c1163c31,a922395c,7afb6fbf,19a848df,ff20dc1a,38f1c86d,89e6779,3c97473,8f4e7bff,a21a812b,ed0c00dc,55972ed,173bcd4c,36476bc6,70d5177d,73e539bf),
+S(82a01624,64aca6ec,17abad94,4756cbb0,b27bbae7,120e3564,c1c83776,138a1e46,9eebe6a6,140227a3,15d7f23c,176cebcf,21f61112,86dcf337,21deffae,d701a856),
+S(972acc1a,194b29c7,1d626053,34704ed,95201c9b,92e5bfa0,937b7369,dd389794,48ac34b,936ba87c,1a952b91,8a82f0f0,26ddf57c,2ea44cbe,d15f6ce0,da73a4c9),
+S(11c28dfa,639403f9,f8283916,dd32194a,d116ec21,e56e6393,f743ccd1,1b1fa275,8a008459,24e50c2a,d3a713fd,53fe4998,86cfe86d,2f31b8a0,b2903a48,ec16b1ba),
+S(d308b5fe,c8e87dea,6ff1917b,8b853701,7dd6a46f,97c268fe,7dd2a672,92ff3bad,83ccbd2e,82917e04,fe00fd3,cf837c0c,efc34a81,54c2f068,3fb079ac,3a1dcab4),
+S(f4551b7f,aef3bda0,51ed6978,45d37d52,97a9ce9f,4b684334,fbac03ab,ad0ab7b5,7ac85f32,e5cc407c,5432ac50,ee015a7,e2fb3191,90d8855e,7c5ed488,ce5c6211),
+S(23daae11,946de442,7934b351,a38df422,2f8f5424,b2dba51a,98548718,3c21d2ff,48dd1fc6,ef5ca525,88b21118,7c172792,ff9aba3,d18aab3a,19d9dc0a,d795763a),
+S(1d225202,4bd2b32,87400ca3,e8de9bfc,366cea7d,c87007f0,e36d49ab,32f3d389,e711a6d0,692025ac,74755d2b,46c8ccf3,1824dac6,35a48cb1,af6fe2a,ba17f178),
+S(b500c6e5,1111339,527ae172,11055236,912f7cfc,8e67c4ba,94dbf39b,3aa349f4,7a65e1ea,dda398f8,5da9f82,d5bff3df,41b92854,29994d8e,b9ad0fb8,ec9610bd),
+S(135294b,236c6f34,478921c7,d463c14b,92da01b0,226b0bbf,bae7f392,fc1ab605,8f77291b,b39dda82,33e6e523,7d313f60,3bda29b3,4961a6d2,4e474397,2f6bc068),
+S(1fc67f92,9f12d181,73e45951,eb64aa45,627d2fa6,61a2d35,25e818d4,3d4b2ebb,f4174ab5,dd5ccf0f,d6522310,20bca7dc,553fc88f,952007bb,b5012789,ae9d1bd1),
+S(47ae7668,3654ec8,a3904f7b,dd02efb0,ae4c8489,7deffa8f,a71aab26,d82dbd52,1e20245,990a0f45,9368065f,edfc7d08,ffdde726,1c8f79eb,68adc042,de1bcd88),
+S(750b52fd,7ded02cc,886c9105,8dc98545,67c8c62f,c7dcddcf,ba74e552,dd8343a8,2df52ef3,2d8f79f0,9423792,341ba29b,d78cbda3,252347bd,123fdf78,5ab9b8b9),
+S(148870bc,fbdea326,62c20304,aa2d9edd,91de2474,433711f9,75e977e5,d3b9cf8d,a0848bf8,6cfe26d5,3c4a0960,97925a32,d296db69,d3348c7d,71f7d5df,223b3747),
+S(ea916e64,4958c33b,1610c7c7,b865a315,eede0d2,4881b156,4bd234ee,e372be92,387af6d8,4e8beaa6,a4df0813,db45aab0,6612bc74,aaf4a292,5a838322,a18ff4dd),
+S(1aa70a60,273c70ba,51ff5fdb,2037bc1f,5ff9e0ad,f2551fff,a2176bb9,757fb4f5,a578a726,53233bbe,fd34673e,4890e0b0,d2609bee,5fcae095,1fdd2711,b618954a),
+S(a51395bb,6cf06cb9,b2898e7e,d39c1011,ea8e4539,cd3f5c17,4150ab6f,7b0f170f,50820591,ed76ec84,a0ea2b57,b11a10a3,d46f5b73,71a67016,f952c497,3cbdd83f),
+S(c6d532c,a8745145,e005f8a0,82b57eea,a235d56c,4688d98e,5cd4a911,d0b381f8,fcd16c55,4a38f1a7,3f82ddef,a3dbfe97,7d554b37,e6b60727,4a37ca7d,28473b2),
+S(c42dcb2e,169a5276,e0dd6195,3f7991d6,2d4e9459,5934dcd0,e4daa217,1f050bcf,9ea1f3bc,e274ba98,a38d76b8,1af87fb,4f760b1d,940a1ffa,fc6c8a32,59cbb197),
+S(ae7ef14e,5f93dd3f,3ce400c6,c6944a2f,e14617ed,af42aa9e,dec2f269,fafa21b1,465a5540,e5a4349c,1ff0bb26,a660a935,373deb42,f16e900c,f66d638,38113dc4),
+S(ffa64715,253ecee5,2ab8dd71,17100a64,936e7d19,3e8230c4,1d06c0f7,b516b91a,1bdb95d,631fa76d,1a8fe556,44c69cfa,b0997ab0,16b256c0,30a7ab5e,fb0de0fe),
+S(def35473,ca162629,2f49c77c,2cba01fb,af7c94dd,8f9a21e1,9883901e,8305e3d8,68962e7a,aaceac89,1d5da447,40442b70,f2248b4a,b6b5bf03,f1e00a66,3b0378c),
+S(52d2f036,925d466e,45b33be1,8d16ffd4,4b1d191e,10d0d72d,209ebc4a,3f8358c,88a7454f,260b9d74,28afdc59,1ebba74b,710c1b11,ecc755cd,ff482e0d,bd859719),
+S(6ab19082,9a23767b,404d25f2,355fccb0,5625b6fe,88bfec66,409668a5,e5c0cf1d,85c26852,95550088,ac9ffd07,dfd972b,dc6f25e0,6509e9a7,92d59b2c,afe63ca3),
+S(188dcd54,5c0859ae,6916c4c5,44f3ce1f,7f747007,a6a8d26f,5843f88a,8dbb6b79,9146ab39,c1ed37e4,557aa5aa,c557f874,bf47b4ed,2d2216c4,64b66572,50feffc4),
+S(d6ede828,c35972b0,7105bfa,ce6396d4,12fdab87,19f93ad2,cde46a4,219b4faf,8316a8fb,2c30c3ae,88cf61fe,ab875c03,3254a2d2,e1c5eb70,24f83973,3db48b51),
+S(a363f5dc,ab07afa1,bb0d93f3,df44f786,4f5f60aa,330afc5a,45368fe2,55df6097,a5839073,c4ebc180,50232a4,a6ce7e4e,b3ac6114,eebf3be5,b978e1fa,7218b660),
+S(8ff6e368,f82040cb,9647c91f,7bbc75e1,7a163f0f,7c9295c3,e7901026,e4fcf2d5,fa8fc30e,8607708d,1e2fa7e2,6d4c13dc,3d560fef,c19cf1ed,5dabf5de,8ba890c8),
+S(4dfb283f,fcc74939,60d239a4,d364d773,21f1426,b48f99a9,5572ee88,17ac59d2,a6561134,2c7559e8,8b180a59,a0708b97,9e9b381,a1541e0e,a7b6cfd5,b7aec1f0),
+S(59c8a74b,ebcb88da,5b8cda4f,1af16c77,ce323f1b,1a9bea22,bbf8a38e,f5a8a6bb,9ec04d7b,e7d56114,f72c0fbd,b462332f,6f921765,93affd25,6a37ef5d,91eba83),
+S(9b8dd571,edc71d3c,3337aafe,b3c33f8b,a1a35db9,fb071cd7,577fd5f6,f3a1d3f4,ce7249c1,e00c87db,1149e014,7c531efc,ad8bb3ff,75e51a52,318743bf,74bb84ee),
+S(a410bd11,12ddb03,410eef03,ce8ea4ac,f1663660,c12c97de,bd4a2532,9ee2fced,4fa2da11,2c0f4a1f,5520ac16,7809d7e6,2faa8b9a,c442b84f,e2badf94,84368117),
+S(6a78a5f8,eb495f28,dfec9329,6b026bcc,f88defff,ebdf4986,782cb546,332fc840,c90ada0f,24723e43,2a7aabc1,931954d4,cf60908d,38302255,a79231a7,93f02f86),
+S(1126bde0,fdbf76fc,722bf379,43126763,a3a3fd6e,5f86e9c0,d5ed9eb3,7b9f29f0,d85252d9,ffd674ce,3d73ba20,49fb2b57,f1bb9073,daab3d2b,79bbeb,11bec42d),
+S(ecd869b6,4057202,af53378f,a9e57c86,949b2b78,8034656f,912371f4,e5f122ae,cd94268e,b999b0f8,baa47cc7,d84b78c3,4817cfbf,43594655,2a138d8a,7c75b201),
+S(deddc4ac,6aaf1649,b69dab89,7650fbd8,f4eda196,ec973025,7bd24cdc,7df2a94e,bd6d69b2,fb809b58,95812ad6,d1a4b029,f3861c52,4fde59f5,ab72a378,8bde28a),
+S(4305fccf,95196da2,1aa49916,601b4f00,97e0b145,93e7a6ed,967768a5,836750c2,b997bcf,cc942007,c6b30a6f,a4f8ac41,52b92f52,fb9a3561,2015e846,4e4c4a8d),
+S(c6235374,bcf2ad2c,6ec1e9a5,55080ab2,3765f1bb,892991fa,6df94a32,ac0ee35,e878dfc1,7a210fd2,ef572fb8,3ba9c4c7,b7d67dac,446a7066,ae0fac29,1b326401),
+S(de7be4ea,50937662,a22a85ec,b2cb6f64,eff08302,13456045,e86d459c,1d36cfe7,b6beae42,d2d26eaa,20ea9941,e7ac5b88,d13e35a6,ac457f39,b80382e0,1c1fcbc1),
+S(83faaa90,c129b256,736d231a,aaeb56c,851cd0b8,8a32066e,1587fe71,3d26e7c5,d5aa97c2,9eddce7b,58f9d96b,10a2fde7,4c1ec756,d30cd5d,bac03a2f,f4f5af16),
+S(3ea3ac7f,976f5a3e,81cf5ea4,4325c73d,8fdfc7b2,57512f70,236abafe,925c1d94,edcbdef8,de65f541,9c5dfd7a,6b1e03ea,5b15803b,161a403c,8775e29b,7a64f3a1),
+S(9a51b8a4,5bbce94d,8ce04cf5,dfe4bb76,cc8eb592,9aba8964,1ec58e,9d979461,661bbf31,86f36500,d45bc5b6,58071b27,9b3d327a,a86108ae,790f1065,dd45780d),
+S(a3c3005b,5df20d43,411dbe7a,3daf352c,c43b8a87,564a9891,c237b7b6,2a485369,20603c49,2c90c32b,616fecf,286a13f5,213402a0,c0f8d64,e2a39b2b,bfa978df),
+S(8685133d,3f0b48e3,fffc28f7,ece3b6f5,2789d948,68107d3a,4cd380ea,a00040f7,4b07a1a0,91f3fe2b,272d594,9336ff7f,d88d758e,d7c157eb,5e9efc65,4bc52c2),
+S(f4512104,eba12a54,aa6d497f,59a256a0,ff1eac53,573c2ad,e480684a,99635bc8,538b015c,a96decb7,ba0ce9fd,b14393a6,7825205b,ff2c712,1f96d27a,3beb83ec),
+S(709fd8b7,1795cc61,892ef282,10049b56,28f1b6ab,e5ba9a5f,285777f4,320d88c0,4a742056,abf637d7,e9b75e1f,938778fd,4117f87c,7699a67a,1c08e3ac,a2275622),
+S(68a4a2c2,c222513d,b7aadee8,3d05a13c,9ae4c422,6d8ccffb,f6b6b88f,f59bce44,706c2374,afa7cb27,8a95d8bd,6aa98533,ea7fc003,33678c38,65153006,3589db2f),
+S(38bfc02c,3430c92d,958b80fc,ba196f4d,9c4656c4,3f667cef,1ce0726f,d6be250f,a05c4f47,7b44a3ee,aa21107b,3a679db2,5aaa738,c474436a,c7dee4a2,228fd940),
+S(c2e84b8e,f4380fe0,a674f5bf,3c55d3f9,3b060e08,6b207344,923f28c7,b7935fb7,bf1a2c1d,677595f2,33ae6530,d3bc151d,6b33294f,57d3ac23,78749450,6a0a189),
+S(4425f7db,6cf56461,147ca518,732f101a,39c7f585,b5ff88f0,43ba3e3e,a47bb597,4ff5698b,88fa8489,b08c4094,3cda74ab,b5801911,d36232f5,9b358d12,193b3d9c),
+S(98c57e63,521541b8,acbbd5c,f568b1f5,d3cd74bb,c30562c0,12518cf,96617e48,f49e42f0,8c236a61,e08d2d86,ec245822,64117ccf,6edb80df,403bf084,6e25aea9),
+S(dbf6760b,351925ec,dc6976af,97a088cc,63115fa8,5fde9763,e1524c1e,ce901cc7,909d7429,73923501,e69d1bf9,ba1ad177,f99da741,560af1ab,9cd07e80,7b4f5f8a),
+S(b42ef95c,79d167e0,6e29a6ce,ffb76ab5,c96f7455,21f128bd,faccb108,d7f2a609,6a3374a2,5edac6d3,744eb2d6,f39a94f5,44f852f4,779f2a98,6f1de5e3,fd729323),
+S(a1034444,997dba07,20de1194,c355a1e5,ce182420,b19033c,ed68dc08,fcc2507e,b2cb95f5,d58044f2,36088bde,cf0d3af7,fe9b10d1,aef8f355,b688c68f,18829bcc),
+S(47e80598,1a97f80,fd0f1a14,12d0d1e1,33d7e4fb,bda4c1b6,1dfea483,3589a59a,d33bdc2b,30d0c301,bf85e5c2,c364f1b6,f88b83c4,9e51c9a4,22229b82,10471443),
+S(a355147f,281d4518,f36bc6ac,820478a1,6f0a1f50,bef72be6,aa53d420,3dff20df,627a5765,41031765,c3751c39,e9217493,f9da1927,b496eedd,8466709c,4a47a0a9),
+S(b02ce0ed,6196748f,cbbc3809,7ec6e7d7,80186023,cf96239,e5a79834,4edcd3eb,f6cbeb1b,2b0b17b8,b620b799,14810a4c,8c47e404,89573b08,ccf826f8,7d8656a5),
+S(87aca9d6,450aa411,8f56176b,49646304,dfd5d3dd,84f4508c,3a4617d1,92843418,82a93bd4,b6e4e426,27404ef1,7d837656,e0f876e9,1bb4b9b2,89e678d5,a430bbc6),
+S(1dbe7199,bd248d19,5531ef66,260096a1,9614fb65,e90c2f5a,49ce3056,2cc60f29,ea49e29d,60082d51,7a807196,33c55ebf,f243a2d6,254ad322,8d614943,d19a5828),
+S(a16909ba,d4fec20a,8b6ade2f,8ba3cfc1,d347812,f35b96b7,9b2910b9,de4e7ea0,496f1a32,3593a23d,ffb5f0c8,d9b599cc,18e101e4,215fe501,41147e07,6ce86a8c),
+S(56e18008,832f45c5,30b819d4,a84416f6,db9b952f,84478dd9,243a293e,2d576867,16399c95,8ce72e9a,b2a3b2ed,becc8f5d,c220e632,60a1cc9c,57db3a4c,12e1943c),
+S(d32b7ba3,d0af5b68,21d7d716,6f7d827d,f67c2f02,8510ab10,31e4ae6c,2beff031,8b1cadde,54e84e5e,5a0cfe29,a838865f,9dba3867,85016145,e9f81478,a6a20ddb),
+S(55e603a3,8081a476,f37d73b7,645f3de3,9db27208,e0d1574d,99a7350e,95c76631,a9c50870,a3fe9f7b,da389eac,963e26f7,51a6f289,351025f1,b621d611,8b5872e5),
+S(d8c1fd0b,a561bb0,3d44e9ca,33850198,3163f44a,5d6f3b71,118283e9,bc3c4feb,ef835785,9bee101b,dfbc2cad,7af7b10d,a777e78c,ee9277a0,ba29fba6,d9ee0568),
+S(1bcec745,f89f938b,466bf429,3ccddd5c,c8566c9,2ccc25d3,a1cba363,b65bbb2f,b344f901,cd6317f,b4380012,d6fa9caf,64a5f75a,b4347f14,a227ea5d,bbbf2023),
+S(8e9825f4,af70c5d8,15dbd92a,148cd259,30372bf5,f86d2a02,e700b156,812cc9ba,3290e56f,6876100f,6e20db9a,723bf99b,72a7be04,a3162d62,386abacb,ba377a80),
+S(2581a86b,bd224745,a6518042,add5a63f,b640efad,191ecfa7,a582503,6c5797ad,4f08900b,e4e1abea,63c9fd36,c6939bb6,dc91f066,88ae9318,5049332c,be32e994),
+S(d32004b3,48c65b67,80891f3d,7ef8c029,1cfba007,1cf03f18,c0b97cf9,bca71bfa,256a990,7442d77c,a1e3cfae,48a8230e,a03c0889,29c12275,994ab662,e9beb3d),
+S(7b6724a5,a0090968,311ea2bd,d3ecb7e7,c7246bbf,b6a0793f,599a2146,faeab5ea,48a676,fe3a185b,cc6f7188,86bd7064,3ec7d20e,ff94b8a3,c1953b3e,a2f8db4a),
+S(83d6737f,fee8bd73,eb4beda0,1916f875,85d9fc78,2f726243,f31a2289,456deee2,1d28e79c,c010e982,9a94adc8,35022da4,e9dc67aa,ae5751af,64c53f13,afed61e9),
+S(472bd739,ece53ef4,12979f4a,89b6bb45,fad8b374,14478a14,afd13a57,3c315cf,27698c4d,861e5cca,831112cd,449980ec,1d81bef,6a396b6b,fa0da65e,ab164dcb),
+S(8ea8e81b,22657ed,51bc721f,2f7956ff,fddab5b5,c703415f,ddeb524a,16123765,a301e8f8,67b1038e,56964048,2dfd39aa,9ba6cf7b,773df76e,eeb46882,2a229c7e),
+S(1f931775,2da7d946,b6d9ed47,75ac74cd,6029531f,27487c1b,cfd2ab3b,faa7f6ff,37277158,e6b5c0de,5436191c,1ad8f944,7b316876,ae519306,f28a3606,ec8db8f7),
+S(2a6aa0b1,106ddbf8,dceb8988,cfb33c82,4d55af5c,670d1e77,873f4a,ce74f4fc,889e4d41,b885fa99,21b66aed,83f46883,ec6cdddd,67a0ca45,dd12ed1e,ee6ad292),
+S(9ff77e8,ce5259d8,58431c69,bf001dbf,fecfa5f0,bc356057,eed7543d,13486274,b8f0037c,c9c3b771,dd6b18e9,95be0ca1,23daf9ca,5bddbb35,a609811c,cd1ced95),
+S(7a9b1d0b,a3f1414c,1ab3054e,f9c2fd5c,ebdc1931,ef670d1c,78db9549,6b1af514,a2407af2,ceaa367f,d6d4d733,49d77a2b,993062f3,d6ca8e0f,89d21eb,beab2b93),
+S(37de2b08,4bcb4b22,e4643fb8,5f777b48,944a2351,88036c45,793d2d81,c984ee5a,c788ecf5,3900585a,a4226825,f89f9ef2,8cd25d37,565adb3c,a61e1c0c,ce4bf1ed),
+S(6c3236dd,a08f2a08,9694f01,a4864dd5,d5ac105c,8c7cbc5f,7d2060fc,b4e8519b,2472d89,10106497,6ac425c0,43714ad7,d5ec4f66,fcd50af4,abcd690b,d219971c),
+S(7c0038b9,2f2a96ca,115a853a,557be238,146eb196,8e7b8e88,4801a56a,fc8976d6,d68bd242,5586cc14,49fbe019,deab8a9,97a56dd5,f52b02c1,24e7b8b,141525f0),
+S(24449d21,51eec6d2,49d6b613,d1b03e29,3b36185b,ecd95bf1,a52cdeed,890afc8d,3929bfa1,d9648c49,aa4144c9,584424df,895622c8,9a7a37a9,8462bddf,ecde7a2),
+S(640d6b44,2c5e0388,7ea7c4ea,17ad3e5,977dfe97,907200a6,a43fb6f7,73848db9,db3d21e8,237ffa32,8d389e4,d93f33e3,cb75ab12,dea034c2,83b5a3a8,c7169b1a),
+S(d2372e52,bc1d97b,8ccda950,37148f3c,1516d519,b171a9e3,6a3e87ca,619a52e2,21331dec,da625e2f,7330888,a31be425,9f69f49b,47e38e9f,85eba5b6,fdf4094b),
+S(7143910b,fba2abd3,d2e7d7d8,f7c67344,581afa60,cd82827e,547de354,e5299a76,1965b472,4873bb50,c2b55cdd,dbefeb1c,e184d9cf,97ac9142,a49bbfdb,37e4669f),
+S(275557d5,46e5acae,1ae98537,8d787b51,73b260a0,57e8b884,7bfbbe2,d15d5555,ca93b2ff,79544d54,8a784fcc,52fc30c0,49337a19,2b88533c,550432c2,6555e47b),
+S(290231be,bf6b01e5,7904e066,5b1265d,ef4debb9,d14865b8,75341d98,de3ea5c9,acd3bcca,8ad8ca8c,b7a43edc,69fe9746,50d63593,71dc4d6b,a76e0c1b,bbf41cd),
+S(93db5e11,7fe021e2,ca71621,29087cfe,93a2ecf2,560b6c0a,91044253,3dd4e351,11d18431,959d1dd4,8227844f,251a9c4a,134523a3,cc8c175c,f3f509d5,9da8d869),
+S(8d346bf2,d4bae98e,ab44629d,720680bd,610f61b,32f6c109,9ef48434,6e3642cc,ab9975d6,3d4dc8e8,e90f2413,e93b2ad,e15f848e,7589451c,a7b735d9,c45f0a56),
+S(6d7e8457,c1ac7255,c612d8c,99a1e850,d95d9058,113b852a,4ff0513e,e83e4f06,cade7182,8f92acab,a7d5ad5a,65fd84bc,15c57af4,499607b7,dcdd8c1b,20d75cc1),
+S(23a703e2,540ba5d8,dfd5c7bd,183be8b8,a2ac028c,c51806ab,8ce1874c,5f66eaaa,5153dc37,e939eaba,35caeeee,ead1f666,ad62e15a,2f078b42,15cdc33,3372e839),
+S(2ecada78,339caa89,a3baa456,15cd0040,9e7e7f4f,15fd5f02,665d5674,3ff48a7c,b2110739,2dea146c,2df5856c,aeed7577,a6bcced1,cddc56b,68462f0,f7999d5a),
+S(2516768b,6d6ed0f8,9550c2a7,7167e0cd,34d10a24,7bc10f4,9c7ff55a,650bda2b,f363a634,be194643,68957ff8,2e329184,f2a6982e,51d4cc58,ec24cfbe,f0e6f95a),
+S(c958904,ec9c6ddc,37f16d48,b56c74f8,64c547a1,c001e2a8,fadf0a3e,7069ea47,2dcfe201,8111bccb,29ef1f45,827d2b4a,753afd51,ed9927cc,395057df,7591bea),
+S(c82c9164,9760ba4b,bed19bf6,a2323fa8,c61ca2d2,d27f70a3,b5798d10,c33eb5d2,531d2f00,be4f3c9a,1c08079b,b7aea0b,c78fd8e,30f5e2e9,27f465f,b814938a),
+S(73d756a8,f79d7da7,362dd79c,5c0c3226,45e6d6f7,fe43234,1f6d7208,b9e9f5e2,2a80441e,c1b321e6,3ea1f341,838ff513,ec05a23f,e42b73e3,6dfb4a41,b96580a4),
+S(78921b3b,ccd1d7b5,ac721e44,b5c6c8e8,371ae531,d36576b5,464b1fa6,6a3921d9,ade914f6,8802342d,93413c4f,8b67d343,d79252a6,d023f712,9e464e7,111e3044),
+S(63ad2efc,c1e11521,139528c1,be3af253,ccbb4f8c,af95b00a,7a6467c4,d682f126,29b54282,c8718452,7ae954c0,1039c1f4,ac7953f0,5250b6be,47cc0b2f,69cbf28f),
+S(448bd0fb,d7b22662,d6680a1d,57d81a21,a54256c9,d0a882d2,ed5c6f6a,e1e5cfb8,ce23a4b8,cbf12323,ccd55287,e5c68cf9,751ed0a9,1ad563fd,35688ee9,8c526d46),
+S(ad41c647,5145c360,fbf6579,8a54ca90,7fbc9b70,a9323501,8ecc6a43,3ee564bb,c1830237,87a2872c,2884ebd1,f1ae7a1f,8e96ab7,99d1dcbe,eb39e68d,796a5659),
+S(65b45a74,13b2e78d,20d1476f,c21ad4b3,2807b174,19eb89b3,fc799f92,7cae5a82,11aed89c,d5bfbc7a,9138885d,f64a38e4,d46a270b,ada85cc8,3a3ed7d7,65015331),
+S(5e7db226,92f3d7f2,da0811a7,d0aa0d4f,6adb5651,3ac6a386,7c0cea91,ab212b01,d8250eaa,46275c9b,71f43f6e,cffb063,7b90a827,bc89f513,e769dc00,d5e28150),
+S(37fb22a4,7feaec72,7db1d62e,390e7b8c,ed1d20e9,7f934137,1d5276bf,5c1110b0,9a537c0c,8da9c43a,6b7924e5,a6b29e9,17ae9e25,e8afa6fe,926ba053,f591c090),
+S(4ec7c867,aff4fa7d,ade9777e,2d4a0793,fe1a1ecc,fa4765b5,aff9064d,98f16a50,433ec3e0,57138a6a,cf7ea45c,f2a91041,2e356c0c,751bb535,1856e37d,295143dd),
+S(85b5685a,8e784360,dd1eb47a,9805165c,bf77dc81,56c93b68,54766ad3,87cfbcd5,b866861a,6da7efa1,fd3d5360,2b94daff,c0cbd09d,5707f3c2,b47d76e6,2f2037ec),
+S(3a390af9,11caff4e,76bf870d,972465ee,f6f8da0d,c7232add,5ae9dd87,32be2269,f5052db7,7f43411f,ac6553c1,3d930945,a8833641,8af417e4,5033a8d1,a1a52c90),
+S(44d40682,4608651c,4fb418ce,99391d55,6d93b631,d489f92e,fbbd56a9,c49736f2,1461465,fed84aa3,ebfc39b2,c1cbd1fd,b7472c43,5c9034e2,82d59c34,9dae7cd4),
+S(9aa43d73,41ceef39,1b1bfb31,f620c39a,434e5235,2c14c28,8a50490b,9c62295,ad6272c5,19439e27,5a1c94c5,b3940b23,956d2656,d9870163,17e57d99,3d18b2),
+S(1a5d114f,d0bda301,e76f3721,ff1e06ae,fb40cf85,b16c5dc8,a9bdce20,6ac8bb80,cd57ee40,1f4203f3,e1875926,199fab9d,9102a3fa,c851822b,a5bc489,6e1c7cc8),
+S(711c1d24,299032bc,f2959c63,8139ae5b,b528b56f,e1a1b829,f7b8afbd,e2effc8c,98bdc11e,d2ec73b5,532332fc,478ab4ec,65626bdf,85287f8e,dbf1d8b0,5f163450),
+S(3dc0955b,86e2d6d7,49bbc95f,2760978e,fda7483d,1f3b07c0,7d97ffb6,6961b0ed,f4af5628,d74d3fa1,daa5c072,9c1ad396,1b0792c1,b6fbd235,64debbf8,86d3051),
+S(9cafea3,411e251a,8776e3b0,72f11229,8a23125a,5bd995a9,a4655031,9907df23,743b8ad7,ebcb4eb4,9469225a,7a2ee594,bd534c16,a8dd68d3,a58373ca,85f2b01c),
+S(faddddfd,96d20fe,ec2b0c84,8ea7e6fb,f89dffa9,efadf475,6eedc815,b61a404c,ebc560c8,253927f5,a928584e,8e87b950,dfe26bd6,d37b739f,b0e9163d,c6312c8),
+S(b539be0f,8ed02ba,f7787d73,df02e1bd,3210b88f,df1dfba7,a0138713,8a2d5a8d,e0271fef,2d0581fa,5ca30caa,8a101711,341d4221,b6b0a7ed,776ce399,e370561d),
+S(5e3634d9,b7ff4279,3685022f,d3165c03,2ef8ed0b,c8a7d02b,685ab5ba,8557ac03,565b3913,355bb664,12225097,4e33e9ac,27cd38ed,a804824b,83985011,60f44200),
+S(609ad796,d50d20e9,9cbe6ec,650eba26,ceee3c56,a6889917,44deafab,6a7a5904,54f9351d,9aa7d0db,822788be,bb1cc2eb,3300c144,1c7a4c01,230b47f3,7e67a9a8),
+S(6ed020f1,fe8d7e4,73812756,3325e0c3,290b9a5e,d2723929,584f177d,4d9d429c,a1e48a25,b02ba024,eadde7e0,ea82c900,cb297d2e,b550c289,d664d4a4,b9b85edd),
+S(5083663a,afe468d4,ec901e5a,14d2593c,b28c5948,1fdbca52,347d6aeb,4b7ce960,6aa5586,7467c6a5,dfc41278,c855727f,7a8b4168,98bdebd1,f9c6a918,a1d31aad),
+S(e1c334c9,e355ae43,7e48335e,691a2aaa,64c3bf7a,16c77810,6bfff582,2a324df8,4603f15a,d7c85327,15502c35,cbe0ec58,e4ba8ac3,d038c4d3,ee3b4b77,74a13c07),
+S(8c51fc03,ca1ed69b,4b627be3,3a7943fe,e1c15c47,ff7bc83,89961e40,6552907e,2a51ee78,7d48f8e2,53e82deb,a07083eb,b9513615,7f2a796b,c040b1d0,7582033),
+S(4711e429,d9cd2b6,e539eb68,884d2a97,375c2cbf,fb30d6b4,1718eca8,9f3fa41c,ce826e2,711b6e6e,9a487a8,4ae72f80,a5308c21,1db0ecf5,706abe6,6b0565a1),
+S(277440ea,ae6a1839,6f72ace2,c5cbc75a,41866c7c,c761bf3b,7bbcda07,ef5558a3,345f1584,9e4ef4b7,31964dbc,f9f899f1,def99279,ac2acbaf,3d1eeef1,bfd0685),
+S(b9d1ebcb,91db7845,426accc3,578ec4d1,6df30fd2,9650b47,5c154d65,7a23bd5a,ea0ca814,399a76b9,5107501a,40ef0206,ddb1e9f,4933399e,35db6385,3dd2cb2e),
+S(29c07ab6,e703dfe2,896985d,4d894d5e,5b793b6b,7ef2f5f6,dba00348,a8882fa3,7565e4e8,4b5485e1,661bb0ab,4b672cd2,5e9d58d6,48049ac6,8f2457e1,98b04a8f),
+S(b9d17c46,9733963a,2f20626a,ef4f2184,6da791b,5e63194c,128432f5,58ccc682,5dcad0d8,7e08bfad,43e55633,3403f5b0,76482dae,d731e01e,3284c945,7c6eacee),
+S(961e90a2,904e80f,1be65717,a0401722,6821876f,fecfa598,b216b04c,b4645c8e,5ab0efab,7112254f,722d021,a4da595c,99429a1a,5b242b1b,9243a8e2,54acd804),
+S(40865cb6,f002104a,54a45d9d,da84e6a8,f98a3bd8,364275ba,4e14554e,2438f6f4,5b822fda,eb719e33,75309c75,b7c115af,351de484,98867a13,6b1fffb3,1e277d7b),
+S(5efc3d76,307a2cbd,34e7d009,92263a44,c4e76e50,f1c213fe,b7fd6ed2,342f1a08,40bcc04b,cb227f3e,3cac4a7f,446bad6,6a304df5,a4128bd5,46f9f40d,a3e12f46),
+S(13caf790,6a97e5ae,6f674956,c1586c67,57d3d56f,3d18d522,c4f365ed,97b54e87,156a85ca,74541ff2,9489b562,28324549,5cc42397,c54792e,2ba485b4,a86bb65b),
+S(657e9dec,84a9120a,308a5235,6555c56d,6c1c98f1,cd946480,def7913,7e50f7fc,600ce754,7d74b757,c1e371c4,73401734,8fd6dbb3,72019f10,bcb4f4c0,bab1614b),
+S(fec2b1d6,ab46c020,ed672687,7f2ec85c,214f36bf,149b2c1b,e75ae29c,54050071,3ec9964,20d9954e,edd8848b,c439fce5,740ddb41,c404c52b,f76865fb,26c48b8),
+S(bafc595,37308fb3,c691f1e2,45908e92,776d76df,f6af7002,c581afff,320a4abd,2d8b8ef1,aab42751,27d0ba95,dedd27a0,29951664,e7ab9d54,b3a4a24c,faa3e386),
+S(927cdbe3,2c1d78a1,89a4e3df,4ce6661f,149d7e16,d0cc7dbf,c287e492,891540c,e46911dd,cdcd70a9,f99f6892,18899fd,d3ff666,ae4533f6,dcfb441f,2b7da62d),
+S(b443d061,1ea3a164,2e31195d,111bdb01,b6a3999b,e4377780,e19c3614,c0d7092c,e95b7ecb,e196c667,a19dbd2e,ff0115ff,9f0ce1a6,7f44d20a,a47d2990,e6b48c64),
+S(e1836c7f,8b7dd235,f6af1b89,b7a13ad7,22dbad8a,78b1b37e,f6e5ff5,a6bc992a,57b02ceb,713319e6,9ebd7e6,844f374c,5871a792,e2109eae,d2cb5222,6c314e8d),
+S(9f661b3b,c5829c51,2fc613a5,ad8aadb7,5c78edb9,9b84de7,683c6de9,d2a93f78,70e14e0e,558e94ac,aabb847d,3acde465,14c13177,45d45226,b6ca9911,f23ecd6d),
+S(e835b453,6f13ae6e,7103137,bb695ed9,4d07507e,9fee8f9c,af661e9c,1525d3e4,192463e0,f1111a94,9f6236d3,1c0d6620,af9e0a3d,1f13f83e,7c4adaaa,76c81953),
+S(a29fe97a,2ecbc4d4,f7156ae9,d6bfef6,ef601e26,4f92a115,48b5cd26,7cb26b3d,23b7d6a,15681341,6e1b8fb2,cebcbcb9,698d245f,b920f8eb,3d6b46d8,9cd25cbf),
+S(396cf745,6127f3,31ca0fb4,95d98b32,7a738a69,260f7345,9eb79f0f,edc6a7b8,31b6ff3c,26879dde,6ebc9873,22a32b10,e283a256,1c1a65d1,928d3e02,de2505f8),
+S(d1bd75ac,c37a3119,8f768b38,f665039,7d2f331a,32018a66,526058bc,aab440c5,5c17fcc5,b8e2500a,4edc3cef,ced52f2d,e20e7c41,bce4fead,8e12a880,aab8a185),
+S(de72076,62274020,1791b51b,39fdf2e,297b7c2d,d358ac3c,375dae4a,494df54,d33d439,d4508520,6021c95b,cb1b22ba,b1595800,54056f86,82d73580,c50692e5),
+S(958e9c41,4b096f8b,2d1ba41e,f5142a17,339cf57d,689d7d13,dcc22355,91418331,628b63d1,4e4cb154,a31d9752,9e50a1dc,f2684b40,47c27c39,bd54a0ff,dca06ed7),
+S(38bae438,9a283e43,283d6a06,94e7ba16,b026dd59,3b505a09,6ee0f67f,eaaff536,9fb69e6c,73b27204,30968157,d5782423,cd4b7809,f09f280,93f5964e,6c06b170),
+S(d620240,753af5bf,f1719165,f9d8116d,54c97a2b,5f99b7a8,97eea7c0,428dd1b5,66cd4f98,1b037f95,eeca433d,71d37fb8,b4a53f9e,853943a,ee0f5254,e42d89ec),
+S(7de22847,c93ed32,6ff056f6,a002a7d7,e5d13361,e2580ef,d2cb682f,28e6ab96,c40be4d2,1273633a,e0ea9448,4bbf29e4,2b9bd775,b77802fd,31167d50,76a9b34e),
+S(df0b50b6,679ed759,35883080,ac9196e9,ba5844b6,d9e541e2,bedb7693,c7af37c3,f09fe7aa,bb08fa37,aa5413f5,e17dc1e2,a07f83e7,4aaf160d,ad3ead56,1509e152),
+S(578581fc,184af60f,80d648a6,97ab999d,f5ddec3e,b6046528,b9fc6233,7de81fc3,552be39,a8587bfb,d8de2f2f,6b923fde,20c7ee70,3a1c0c09,12ae85b7,56495ed4),
+S(cca6a75a,131b5389,b2f8ae71,7d1a9f5,2258d3f0,4ed22b2,c836f7ce,3035def8,1787070,1bff0d8c,b74f5f95,1c6e011,f4e682f2,5d744f98,4c351b64,59669a4e),
+S(6f81f602,b2054706,4a7c7b12,d5f13022,8657a77,e0bd1669,ed1541a4,b8eaf068,6ff959d0,1288bbb3,eb7a59b3,2eaa8945,8e4c6754,2a9bba0,668bf14a,ebb308ee),
+S(90725203,94d2fb81,59e2ce17,5fb27da,7239f36f,61c70250,78a69c12,27fc0cd0,34a471f6,eb168b59,4a6a53ab,b93bad33,7da670e1,8bdd1eda,53b34849,94c21abf),
+S(4e952fb8,b5e484b6,4ce1c1,c66e94de,3bb3a64f,26585c03,969e834b,291e597b,f7910643,47cbaa3a,e88dd796,ddac4794,c6500c76,147a26f9,c8f596b5,50da9961),
+S(1985193,527e87ab,5b7dd218,718486f,1ed4b7f1,a444ee6f,21f273cb,901aa0f3,b067191e,df69ed50,b0771d24,2d99c8c7,22f1bfcc,bef31bb2,8d245f3f,b0acd3e5),
+S(5dae1881,7a2bbb01,23561907,a22445,78e4dfa3,c6373f21,efe3f159,58abb5f8,7c6bd578,301ea8ab,f2b555c,66420c77,b84c6959,f96938af,eff54db5,4014d51a),
+S(96a46ff6,e78bb2f0,4b299985,6d56310b,4df9702d,7306b30d,cdc7ca4e,68114e77,3f871bf5,d3a4ee91,17653bb8,5a98e599,d86ae580,17e8963b,9b18400c,979994d9),
+S(31482d19,6ce07585,bc1268cc,a355df50,b9009f17,fa1e4f39,9876fe2b,51eb361d,50dfcba3,ce43896,1fc51f06,5ac4e58a,4757e75f,419a9525,5263830f,fb936e9d),
+S(94c128e9,6d36f7f9,540da468,a2fd488c,ad615f6f,7920b201,27311941,db6e2405,595f29f0,f9622e32,b62e3ead,9f9ac21e,d07d7c07,7bba623,6c7e57cb,747da989),
+S(a16882ec,b52def37,227e2990,3dc15e4,d4bf10ca,1b1adf31,c9cace43,348182bc,53f6d3d,6dd5603c,2f2bc7ab,677a6133,c138e26e,c030ee9e,705ce002,62e11f5c),
+S(f0f5ef2f,f0f63cc6,fb7b3d99,6a5b14df,99a53a45,3a1fa425,3ff3ce71,4168cbe0,598b5ce,44e168c3,bef06c4b,c032924a,da454c75,b53d17cf,cdc2ea7d,93e3b883),
+S(3aceda5f,190d83bf,f5111acc,d57d4d2c,5b7692bc,62f480b9,f5cd539a,b2ef0c1a,5b8f973a,16151dee,92930702,f3bc7f1b,93a096a5,ca4ff3e4,8a41bdcb,f78ba60c),
+S(4e1eb580,b3e3bcd4,4b2905a0,d07d7334,befcca94,c7cbf639,1710948,cf2e66b3,c1d6ad62,c10bec2c,127446d5,34863682,196ce8f,4a966319,2be7764a,46e733d8),
+S(322fa340,76bee9e1,697206c8,38cdbbd3,d54c3a30,82c22b3f,1ae17da9,a9047856,c4493e49,b5cb97d,eab7ccae,8f1547c5,98e286b,5e7301de,cd50656f,25dfc1ca),
+S(4aaf3569,2b080f70,aafe6374,f0007570,d23fb620,cbb60a43,305f5e3f,29e9d189,1dc30c11,91f985c3,39bc8592,8390bc0a,c99d3efa,98f4bfd7,df2f86cf,7c297dca),
+S(c18629a7,17d1b01e,e2f4bc72,2c86fc26,878884d9,a770b62e,d7167f83,631ff2b6,3438211e,bd80ab41,dcd4e76e,c742aa3c,1c859cb9,1fe0960f,eb0dc74e,d119a7e6),
+S(239f97ee,44d77679,7a91a196,82c9064d,4552b4a5,33033377,6dd74ae2,fdef44db,dbf917e,c66d0b04,a0bd607d,6448a678,1821933d,26d51865,35d3d587,ea680a96),
+S(c0fde604,387fa85e,5c5cba98,346042db,83a64e6f,103d7448,22b6298c,98bc7100,28ad14a8,30b7be30,58ce8e09,7fdbc87e,a3c60b3e,840ad9fa,a7cad01d,b83a15ac),
+S(95ec759a,5526cd4e,eb9d00c6,9702dd89,3ae115fa,de3629c6,5fcf5134,2f389355,2f899643,711c5f72,8fb442aa,59139fa3,b1b0b4a8,ce75ba07,67aa958,eca943b1),
+S(7da3bc4e,867885e8,febb8c6a,e5da50e4,55fa749c,adbc5800,1b70ebc6,96ee9b89,dd989b8,c4bc42e5,8b41fcac,bc1e1f17,bb77aefb,964bfe45,fbae0843,6dec8cc2),
+S(120fc1d6,12db86b9,f352582c,e2761ad9,8a29444c,c438e2f3,5f523d83,e2bc3d,437828d4,5357a2cb,ffad57f,f991e91e,83466aef,584dd7b,a3b24d9,31eb6cb2),
+S(50e42888,366a1fe2,83cb22d3,df324d3e,e52f58bd,26bdd4c9,67575f7a,5adc380b,2fdd99e8,427f9b30,1e132beb,3e0fbb43,8e6ffa8b,147c825b,e4453fbc,1318e015),
+S(275dbcf6,ab238c94,740100b4,29356528,69de76a,9d84d7b4,9b88d526,9b8d5339,90e835b0,f20a7177,936c5717,fc18d0a0,28a31e65,53c32be2,699ae03f,6ef2807d),
+S(59d174a2,bb918007,f3e044b2,7acf5e6,8264d529,cae342e3,fed00475,d95b86c8,dabbd87c,b49bd118,a663a848,2f7b1c51,9fcb0fcb,48f2f966,7a13ab2c,ab122860),
+S(f8926a6d,5d824029,8f572847,6439f60f,528cded2,2849f182,e173f84c,cb75e1fc,8c641986,c4fb6a7,acea7627,e4f6872,26f86de0,a2160a63,1b2e1a26,9fa5f6b6),
+S(d765faa2,b9cdc6c1,d9f070f5,4fe286c0,60351c66,c7a241bc,94d10e4c,7287e7ae,ff732ad8,fa7f0c3a,9ced3ffc,f5bec9e5,2d1600eb,4ce4d781,20481559,82c30ec4),
+S(bc83f94c,7be686df,9caff340,35c6e393,1fc2a33d,7a09fe0,b5d09e64,a0610dc5,772d167,e762b3bc,df68c291,656a4259,cda67486,e430c7f5,492c66b4,b3e61fb1),
+S(5a8b0422,21313e22,c5a2cb24,ec6199fc,a4e95da4,d5f59629,ca33f4e1,419d5626,2f609bb8,966ba692,84fb6854,5dff5b2d,f1463504,5bbfb145,4fbf40df,c9884fd8),
+S(b106e89c,b4da505b,912da09c,44f42d11,a2de8836,28623cf5,7f27742c,a3852a97,90ed9bae,78ce94c5,5e4e971e,16013f9e,6902838a,f7f851fd,100c8e64,babdaba8),
+S(c55445eb,439db24f,deaeb4a3,5a71ac1c,8915b051,350d4007,15cb9d70,2319b0da,98b517e0,32c9a963,f22e25d6,f3306f91,a4b604b9,6591729e,64b73794,55d0137c),
+S(f05845b4,5f975462,e1051499,d8189cba,89bbd435,6ca3ba68,7b9994e,81dfefac,11511fa6,126f8d88,14c5de2b,dc92bd79,9a466940,3ec8a5f6,f445c59d,bcf779d7),
+S(35620920,f58bace8,7dc7f750,876b59bd,980ad703,b3127c3,ba53c20d,56fb5755,759d3f68,60643a2f,d6c946ba,5bb70f61,fba28208,77dc47fa,a4d9ae14,9d6ac9ee),
+S(f70c93ab,7145bcdc,2ba3a9c7,f423da0,26a39180,6dc3686c,fe32408a,f659f918,84f71fc6,818151bd,c620e79f,a2d380e0,eb37391a,4a56b919,eb14b2b,cabee697),
+S(858916af,74216be7,beb2dc10,47f941b5,157d7f19,c9b60900,bc844703,79b4bd3f,77b78d3f,5fc4e872,3b7cec8d,8653ea2f,298a1057,88bb4cbc,18e4fc99,108620c),
+S(4b690a4d,a3649304,96fbeef6,da701b8e,569e61c1,6456659e,4c229813,d7118d67,d64261b4,4f26a263,55e787f8,fe2fd5fa,55f44b29,5cfa9c2d,8cc90830,60ef8b69),
+S(37542949,6cf4e6eb,36b733d4,ecf1533d,4ef38ed0,768ff1a5,58dd210,ef8d950,3fac2cbc,a4280d61,1e30efcd,cccd1392,374d351,ed9dc460,61041741,2d0efb97),
+S(870a9ee9,e2a00f61,af0d1f0f,967971ad,c5afef39,b52a3d5b,de74802b,a39cec0,a4751ec2,989ad16f,460f3071,ebe3865f,3319bbee,7bc7c285,e8215ca7,831a81c0),
+S(28c63e6e,99936241,73c0c5e5,7c74543f,dcbbb678,bc786746,809d3206,3c0bb3f3,f0c610d2,e268cc32,3dd39ec5,51723b9d,22cbb5f2,f59171b,14771bf3,a4ec7183),
+S(1045176,321bf271,cf34eab,686d3ec1,26000d6c,b1e66d55,860cde39,e5b00885,2cdaf0,11879aa,10231e46,ac93baf1,7bc92067,24f97521,7e2fbde5,cd7dda17),
+S(9872ed48,bfef1218,35ff27d9,168740f8,38c2628e,15dc1a17,d5c72ee8,df21aa5d,f744a757,b922361a,3976de72,7ed83300,885cfd50,5f6be5ee,2ef9bd5a,1823640),
+S(12f16ba8,5a2833f7,1af7244a,36228deb,38075fe,222f4d6d,6c02744f,b5731a9d,5538557c,f3d2b832,77db6634,8119a3f2,9e272b9b,bad3dce8,df38c3f8,33dc9095),
+S(96489f8b,407618ec,698cf6bb,1366664d,7f14cde2,3d3417d2,80f0a3e7,cec87c23,4e78ceda,5f034e7,8eeee63,bf263fd2,35b8d60e,93263fe2,fc2acc89,fabc7728),
+S(5380517d,3a681527,cc2aa8ed,29075afe,9eb0660f,cd4d381e,803ca7fb,2bea7245,d37ef6e5,f3c824fa,75ef185a,22d6e6c8,d8ff865b,433388b1,a6e6cd7a,4bebcb1e),
+S(2f33b34c,3b22eb72,5d27688f,96f94ed7,23c840f7,549063c1,386e447b,faaea56a,c86fc369,59426e76,8f005d41,5c7316be,bbf1bfb2,54add259,91ad2961,8e9f50aa),
+S(cdcede30,e227f45,18d39336,204641e9,27a61c6f,801aa002,5f892be5,7b49e574,dc3b0562,5e5dc396,26c1ca3f,5f2fa1a4,dfc28dc0,18d6ca0a,b21966ba,5d1ece42),
+S(a9642c56,2e284ef9,5cedc32c,94c55dc8,3768344,e7317ce7,730da1f3,c6ba501a,cb3bc00d,de25189c,b8894fa5,219eda80,934941a4,8dc8e140,9b0d467c,ffb1cd95),
+S(32b67c85,f0f4219e,2ae8e63a,ac95b210,32674730,6a37317a,19a52235,73bb7641,d8bf9f41,e584dfc3,de237e70,79cc170e,96c2cc6d,62042157,ef60ee02,3d142213),
+S(4d095001,ec45ad22,1c9cca7a,d588dbdf,91156878,688758ac,63514992,128e50f5,c66d7dd9,9206f339,e0b80e51,f6ee72d,619c77bc,4ef33b46,1c3b8617,7359fc62),
+S(f51d320f,bd158ea2,71cdaf12,651e3eab,e7deff0b,434a8b06,b3b31f4d,f6d6547c,7233df17,a17de7d,3a87118,97006ca7,8c7cd5d4,7a86403e,24f050ef,dcf3bff4),
+S(f0dfe901,237b4b5a,ba6deb8c,39c87cad,5bf4dd5f,6a5e55da,d7565ded,c4e50089,eab06c8d,6bc7801e,7aea2e6c,919db667,324f0377,ea58b070,2e87b10,7857130f),
+S(2921d36c,4766c1f,775ec19,302f5690,3898a835,aa8dadad,6c8202ae,270e38bb,a79c8e4f,cb59c784,3f81b66d,57060d2f,7c7acecb,c2399191,b7f98ae6,771cf849),
+S(99ad0478,e840c3ef,470a47d9,ff66a197,b62881a1,6189d9ae,13d8bea9,3c1c0994,3e9fc2f7,d37d580c,a16eda71,ff6d1995,47f18ce3,515adca9,c08ed241,d1607f82),
+S(970f064d,32c1eadb,b42ca1a,8893dbcb,dad1b9c6,3b99a15,e772407b,3aa1489a,efc34e6e,38e29927,9ee73b0c,9970cefa,f471f130,9518b8c4,81e7f67f,ffd807ae),
+S(8d995e26,e9ebcc56,d2f9637a,df1db60a,e1b51d12,9850edb7,ef020a2,7ace35b7,1ed723ca,17892eb0,63ee5164,ee8e7216,96a3c3ad,67a3d8a5,a0d87803,37c01176),
+S(c650e8c8,f995291a,a1feb490,dd9ae957,7506f591,c308b423,6ca005d3,ced75866,505e36d9,2ab967e0,a1168424,60639c72,646b0569,d3651800,316126d8,810a9444),
+S(aba9f9d5,ae231382,b3583971,c875f4fe,4c51007f,6d55e1da,79d7e369,c21964fc,e6a176c8,34fc11b1,6f270f69,f4f54f1a,fab4729a,20cf6348,9cdbd551,ae5d1fb5),
+S(1068b9a4,19f849a1,5dcef7d3,9b3b55dc,2eefe04f,554f283,212b489b,79b79d69,20993e51,4344e2b7,28188465,340b28c6,5331a7f1,a6aeb6c9,7f09e9ee,701f3828),
+S(598358f1,cd3aafb1,9328dbad,62b65232,4aacc23c,87b37271,e8604caf,d69fc3e7,4297b258,6c94df83,6fe6c528,fd1b8fd9,62969227,d854e09c,375f85ea,58cd78f),
+S(d4a638b0,1ffac322,48dc1844,75e3d06b,3b6b9a4e,971c7153,da49fe20,f44853dc,e9e708a6,5bd3b39b,15ca6606,512933e7,97b4adba,e72cee79,c79605ed,cf601d6f),
+S(38421e4e,fc54951,1560c7d0,dd947c84,652530e0,d5155ece,8795936b,83b5e115,cbd0d873,ef6c0d90,9890b820,e8c063a2,35d2071a,97cf73f5,74ef2ddf,83ddf168),
+S(2cbc4bab,442eae5e,aca1cccb,4a589c6a,8822138d,c3a35885,132dbc52,7648712,174b4deb,3b28ddef,426aa586,314b7b62,4e9253c0,1fc2dd7,ee94ae0c,57d3f5a8),
+S(202d232b,4244ee54,3fb77958,32c149ff,8ee9a4bd,86c02037,634f5254,9f2dedec,67d64143,1915831,bef7e85e,f057ad07,a6de2cd4,3578ba0,eeb5cc70,1d16a499),
+S(4faee6e9,90601af2,3f204f8a,615506a,82288490,a14f692b,86c8585a,52b4c94d,b45c0547,98d18942,7349a87f,5abfe689,68d14f82,d5ea836f,131ad030,ad31c8a6),
+S(976db42d,c73a4705,fd782bb,2a87f260,19f6d218,3da3ef97,e0e19304,87ef7b42,2e543c4c,721512f0,81c7a6ef,987776cb,11318c52,ae6e2883,7d52a160,d183c31d),
+S(9dbbc369,218c5741,36a0dc48,a17055ba,2a8b1580,88932e85,9a0b8188,5cd11309,e93dccf8,4dfa1519,45f6f38,d634a21a,b431f21e,ed8fd004,e27ea99,4c9d648),
+S(660a226e,48ce5825,14c0f49c,d27621b8,f52657b4,17b8c1a0,ac9ecd0b,b9e0cc16,6d2c4b6f,74432c0b,ca351ebc,27a72b6f,68ad7a1a,8c509d8,8308be90,d7f7454f),
+S(2ccc9a2,5c61d492,5293f4da,cfcbd818,11bdc998,7aa58258,f161210,40773237,5abce831,b2b09a34,4d93a77f,b8bbe8e7,d6334cd3,be3fc86c,154c74be,c191e9a5),
+S(dd9d0f81,6c41936c,fc90cf9,3cc8f14d,8494f853,2b3b72d5,95d94742,8a01a4b,f30ca0ba,3db463a8,2b82b1fe,3f310936,c58906e5,ca07e4bf,9f4482b8,360ce7ba),
+S(1314cac1,d751b3bb,c867e592,9df56ff6,99f810dd,f76ea0d6,f68a3e7b,4d95051d,8d3631cb,226a854f,143c1d09,89dd1ce4,7d943432,43060f78,ed3af3e4,f0d8d41d),
+S(b1abd6ee,fff64a72,83c26a60,be0d1cc,f5152df6,b85655d0,9495d405,f2ccffd1,549457e9,b4f2edec,63f81471,12957918,baf8deaf,7d8a4b1f,489c24a9,44f210fb),
+S(5d8e23e,1212800b,56e7740a,2f20c402,6483ce0f,755e36bf,fc4ee667,3df1b32f,973cab61,da46c5a8,6d1633ee,1fa28892,6e1d814b,800762b4,e4599ec1,803c0af5),
+S(ae0bfb9,b5567b95,34510cc4,ad8dde2c,50c1dc53,6c9ce5e9,ee97fc70,f8b4f562,a8d15459,7fa1a816,3eb33c40,6b78ff19,b4927a3a,fe48a8a8,1492884,46ced08f),
+S(b2ed6275,b818b2d5,ccb807c5,262d5578,c83743b3,701217c1,8188ec52,bec10325,5281815a,b21491d1,62e0b3d5,1334fbca,54731fff,f5d44ac0,396f477e,ab566896),
+S(5d5c034d,228aeed2,270dec13,deb5418,3205a996,509211a6,8884c2dc,42d7d7e2,316c32ad,36906509,2e0112ef,eef93269,e251f83a,9ea7781f,ad59122,ae2ad4b7),
+S(3d94f70b,39605f40,23107882,b491cda5,6f1b9ffb,3fcc47,51e4309c,812c428e,b3de1921,d29a77fb,ae8c6460,c3ecf92,22b88c4c,3a96cacb,e4385416,7898d7b1),
+S(5c0dc575,84732fe0,5098de0d,45926c0b,3f8075d9,2ece92eb,f910263f,3e0d6df0,34c7fbd3,171b85d6,65bdd9ae,30f671f6,688a55bc,cd68c0e5,1153348a,16b75a88),
+S(15d25179,6b55cc34,5beb9bbb,f6ad1aa1,b11b60b7,5bcd80a3,2a44c180,879e3513,46632865,ce1e74e5,f3a89a58,35adfb01,eec8e0f0,34b84aad,a0d2d901,ee07fa81),
+S(86e5faf9,dc091174,bad52eac,2c83f945,3bfd9f82,13505e10,323255ab,b9e8d0f5,3bf19876,8c8b5f39,ba25a9ff,5d112600,956072e2,7775af11,52bec5c9,7b2396ea),
+S(308c0956,4ee3aa0f,792e8630,3ede1407,d3d3da3f,423408e8,7b0c5aa1,2d6aef57,7c39d220,975a21d6,5ce1e2ea,930bd585,203d9b45,bf5f2eba,ecc5b245,e95f0abb),
+S(19f9d4ac,c7de487b,cccae45b,2515f727,196911db,d799c7f2,a68078b3,181099c6,645522a8,adeb841a,81e27714,ddc40585,81cb8b24,e7d9620f,c940590b,b14f14a4),
+S(a05d82c2,4493370b,cb7f1639,16865c71,3e89d968,8c96919,ab99ad92,afe96a35,1576f727,6c65e32c,1dc1ad98,2f75749b,75589cd1,43ad60b6,2163a8e9,87cb35),
+S(6453661d,303acf74,751bc7ae,e8226647,b17b5808,f3f8dd63,4c00a78,94e830b1,145993d6,ab6592bc,b6b242d4,432be395,de7d0014,479aba5c,88a48cf6,adaea7ab),
+S(adb18972,9de87486,3207f954,4e3eeafe,fa255209,4a8c0170,44a952be,aac0485b,2c67657f,d6a2b08e,28463e9d,abf708f2,2c790aaf,907af16e,598f325d,f657211f),
+S(8a6ea198,371f94e9,288943c0,5e387cbb,b2071935,3562fdd8,f9fbe899,ac31ce00,d5b817e2,4f5b3fb,e25212a1,fccb6e1f,1ba55211,ff2e0123,c71175b7,bb94597b),
+S(9e18eaa9,621ea829,38505584,a5879eff,446303ce,9cf61bbc,eaa6c495,7f259778,3310042f,54b5ae46,1c996f45,abf27c3b,5df06779,3c931927,4689da07,46254968),
+S(27ec08,dbc47af0,d3db2aa1,a3b4b22f,5cb42750,b4ad6680,9815ef21,ac44a8bd,292fd5ba,9371d8e8,d4126197,18bfb564,2ed1f537,3303754b,af6a77bd,271d660d),
+S(4ab3436e,34fbe37a,aea7dfb3,70d93352,ff4a7c22,53f1ff2c,8453c5e8,cadec2c2,90221aff,faacaed6,760b1c91,50eb695c,a1117054,1ee068f3,8c684e6f,b005b406),
+S(46d75d8e,b2b5ccda,2d6819f2,1338b125,61a9c872,1d8956d5,b9c73148,4d928895,8153db74,27f7c4e3,381567c6,e2629702,8db4a5ac,c8762ec8,181a5da9,b531b6aa),
+S(469ff047,7ddcf32b,a0c71766,474b5730,3b687406,c22e51b8,9f5fcedb,d154e270,acf0fde8,b426233b,20ffe9d5,5d1bea51,5a19a9ca,dc642a02,6928c05a,e068f747),
+S(1d0a4e9a,ff31f94a,456c974b,ccd5169d,594b7263,5e817f29,4ac1cc45,52d3c6d5,52d567e8,1316fa28,1c2dbe62,75e51bf1,32f2a573,77e0825d,eb024a1,8e637683),
+S(d1f25e6f,5038f784,84ffb8cc,7b5b67ce,908b3050,371ac332,228c3f79,577e6e3f,6cc0b7b2,76a948ec,54b79662,6fe435f1,5c68abdc,9fdcf8ad,41485a7c,58291f77),
+S(56e97220,8d42989e,2a0313ce,203dd87,e8bdd09e,38bcd097,6e3d047d,7b8eb385,c78f2ca5,93d563d9,6caf585b,25873cba,3f4d1f31,3e31fa32,df2e9e0b,7538cfa6),
+S(61f040fc,eb4db17c,7675ce64,73721c47,785e30f2,217f03c2,5e1fd723,d40644a1,950c39d5,1994a902,e637cbba,e0afa218,50e5b191,ef5b5939,3257d67e,555a1d3e),
+S(ceb5f3a4,e47483e0,a6137f38,1ea23678,81c3df5b,830f80f3,1a08a3e5,e5181f0d,6a31aeaa,7533fba6,7e79f63c,abeef7e4,f130f37e,1922f17f,af20a63b,51a1c485),
+S(d9b195a2,dfb91ba5,814e54f0,3bce3f30,6b7f880f,594e8dff,684cdf8a,bcf63634,130e6034,3fba9959,898d4227,a8b4e79a,5a4055e1,a22cffa9,8b445c6,4684233)},
+{S(5e8cc841,c1b251c5,317faaa,89f6c9b2,107e793,4abe27d,adca6318,38a9ca72,9c1c881e,10e9f194,e00388e1,e2414f5,74946554,d2656ceb,392dd6c3,611eb982),
+S(498fb0a5,c2a2a7fa,2e89a846,d7987897,b3e843f,8d664911,277c85cf,3ad0c128,c480af90,6f0aa1dc,8330d211,aa409649,3da0257c,8d09d5d,8b1aee13,f7e6f26d),
+S(9060ce66,41a763c4,8d0948b7,670c1d71,1ac2a81a,431b979c,946eb25e,3c8ff8f2,567b9831,a2555c20,6dfc4c41,9ea75b99,d02a00fd,f3942ea7,e27c44c5,98df4d7a),
+S(b528d336,1c7c3cd5,5480aba,4421c209,cdc234b,f948593f,98eb3c2,95a18396,1326dec0,490078f5,7c541200,9f131410,9fff1f92,eea82577,2fcb8834,c59f0c33),
+S(5b0e61ef,8c9ca491,83508642,8cef89f6,75f49ee0,f33fc8a8,5783e6fc,3b4c59b7,bf1f0c2a,ebc45330,1d12e8f3,43b4d3fd,df0e40df,b78cf093,bff413da,923f913f),
+S(22e892c2,258575c6,e6ba67f4,e0e36853,27771a2,28ff9ecf,a2efb43f,c9f1c7d9,2b20a268,bfc51047,a8b28952,795b91de,624a3487,9abe535,3cfd3a11,87a86493),
+S(70bc895a,ad0c993c,25155e97,9d9276f4,8227b6b6,d7a31bb4,b64a969,8102e886,7c0be1e8,f268015e,987392b5,15f60d04,d1453e7f,fd5929b5,2176e24d,ac10da80),
+S(1dd63c17,421bf994,3a85019f,777bd41c,fbea006d,d4e0b80,2effda5a,8591b87a,2fd392ce,2e25e393,9bad93d5,616c65d9,87718cd5,9b8cfe4d,e54473fa,49c86735),
+S(7d3658a6,df58d88c,7ea92964,3dad19ce,12f295e7,b8b4e710,9b9297f8,ea83a088,6ce3e119,496fe842,f7e2fa75,b635c11b,bb4d00c3,843216bc,82c31cf6,46d9f715),
+S(aa02cb68,5acd4d74,f2c547e9,43aa7360,6a960d80,72aac984,b44bb492,e61b1d94,1db77713,702ed407,655dc5df,55ae0329,a30aca7b,d5655ebd,91dec954,feb0e02c),
+S(e015e1f2,10b7eefd,775369b7,64192078,edaf3118,9d7a5382,28a744e5,5ee7f068,dd69db3b,a82ab3a3,86e1f09,a6c3b8b1,37b48021,a560c0c0,a8c910c1,e315b721),
+S(ec50fee6,402b79de,afec1f9e,25778b95,5b36273a,6974963e,3cddb748,1166bd4b,21b5136d,2a71804c,6c90a89a,70bc05f6,afa26558,ca1aab74,610cda3f,7adf0f03),
+S(213d69ae,6ea3a73d,3566a2d0,10f6c42e,d0c3b60c,9f104706,153b48da,2b155415,198a8c8e,ab3c11e0,2b0d69ae,7ec09ff3,e69ebe21,8a849655,14c46aac,786954e),
+S(5ace25ab,eeca3eef,3439dc5d,7313a07e,7cc94c45,5332d38f,5fd367a3,cc88b2a3,2ddb1c5a,168ebf76,6080304b,df44e644,d5b34ef2,3ac49fa6,3b19390,83fea9b),
+S(fd0ab7dd,a0907d2d,7349f860,4cb4794d,db9d0a2,dab0e6e8,7fdd90e6,49a3ce19,6ab30bc8,fd9fa11c,835509f1,c4e9b0a2,faba9de0,4f2b8ba5,e3ca666e,cd1aed56),
+S(a8af0736,a5e408ec,84b46f55,16e04fa3,bed5f733,f8b99e90,192bf2ec,ae1fbd4,aea37eb2,6f9b6ee7,90eac699,92a53732,91a68317,efd3e651,f27636a,878a531),
+S(a4effed2,dd088a36,ad6902ba,db705a35,187f721,20e747b0,2011839d,76d68be5,5efc6581,210022b7,fd8d3dd3,f11c95ba,99a28e44,c316c8af,7510816c,256848a0),
+S(290bfa2c,8971750f,90aa6762,aa1b2b9f,e9eb50b9,cff25ada,4a7239ae,3524a799,1e16aeb,1fe3c65b,395a06e6,49545ee1,95f0a6ae,9954f6f0,dfc1f528,ef7d0759),
+S(25496b16,b62fbf6c,3e9c59b,de7df4f,6216256e,3b968588,e184bd6e,b9543eaf,6964be4f,d9fc2dbd,146774fb,1eb37f0f,a13a11e2,35b1c870,fde75c,ecf750d6),
+S(8585f972,5efd5404,fbd73e8f,c78a4e10,8089f024,f6ddd66b,28d56031,b98f970e,4e61cd98,c9ed1efa,6dd112c,ca27383f,1614b0f4,728ce990,9251309d,13c2777b),
+S(b4fabb0e,52f273b,9e5e245f,82a151a9,296d93ea,d690378a,2653eb7c,a68020a8,5a0d976f,2d34b780,34ccadd9,30371689,f1e3c5a,6ce774a0,db9da3e7,aaed0542),
+S(4c902996,a5a7ddde,3bc42bf3,31fb1cb3,61ec471c,6b9d8e9c,249d9e74,693c9e8e,3d118fb8,4e8061f6,3c8c5f09,f60298ef,c7983887,d1522034,8c9aef13,9759347d),
+S(8a1fb43e,3591b453,ea7353ed,f3414793,2cb2e5e4,33aa01cb,cde2a865,27954691,40982292,e5b49878,b7471564,a84606f3,6e128d08,3d542e57,ab04acfc,dc1f122b),
+S(f93d9de4,43d93908,8529abc2,d27efc02,682e96f5,79133ea2,e65c44dd,4cf5e6bf,15c9e50,696af51b,64e3b7f0,19b3e27f,7dac74bb,d72a0007,18c4c3ed,10db4873),
+S(8755c259,f333b12b,88917775,cd5c2536,431e77df,f80a59da,d2dd7a1a,a56c930a,d2d681f5,d6259780,8d5c4a4b,9169d9c4,181edf5a,cbf4b817,d27b4e2a,3adbe697),
+S(30f44aa7,9d8a39da,3abc6085,b6d5f33d,bd96f266,e6f37382,c20e749b,efced3f0,8acdbec8,2461ef14,f4096274,cb08f3cf,149e0041,7c075595,ab24fe9c,5ec15b96),
+S(691a190,7e98a004,98af8c72,3850acf,81f07e76,b70afd62,96174058,84bf4a26,df902e4d,3e7294dd,66952c08,4e562954,2e6cf93e,94cc0d9c,672d097b,38844483),
+S(998d8727,55f5c048,1d738583,e3a80de7,c6abac0,249f01a4,1b890d98,2ce74471,cf9b4563,67eeb428,865a1416,ce7b7f60,ae953bab,ba7a67a8,15ca6a5a,bb4b7567),
+S(21f95845,8adf4ff6,d500e082,56454d33,7893cda0,e02ee161,7368a2ff,1aa66dc5,d88c985c,3c40ad,219ad336,ced08e32,f328a0fa,f4cb8ea1,9cd17762,7b4b257f),
+S(107b438f,8273931d,d14d9b3c,dc5a102d,41f24887,9342d3b4,539a9d76,a04cb362,a41365b1,4d0857fd,da9d15b3,76dee746,55d259ae,91b3e97,c61bb70b,4d0c3a87),
+S(b8f40c64,3d17a3a5,5329f710,5a8c799,66ac1466,30d64264,1262824c,b276c705,81d88197,c24f85c4,88c96401,4a34bed,17067ad0,d640ecc6,8482a3df,b374647),
+S(33ff357a,ebfbf690,b97644d5,af3b5766,7e564c25,5685458d,1d0dca97,f28b9cb9,59de095e,dbb83b14,1610f1d6,289c21d1,811e875b,dcaeeec9,40c6bd8,4ebed43d),
+S(6f2c27e8,46c1b5e,b02c57e0,2f8b78bd,af6a6489,858ec5e8,e60c7e84,c92f8a42,a20f6853,3e180ab0,bab00ac1,d517c66b,9f81088f,f2ad751b,63fec4df,d2beb5e6),
+S(510f00da,f51cbe28,7bb0eae,59abcca,f3dfd507,976b92a4,558de2bc,91761621,f268b1e0,549117a1,b2123754,ca50589f,283db3d3,95c1e081,bbe9d027,ac3a8561),
+S(fcd2aa5e,5c3fd7ca,a1c9dddd,30feb5b5,c3abab65,924c1865,913ffa5e,5658d2d5,662318b7,2cc9a9e3,5fb122b1,d74cfd8d,55eeca4b,a0d6f998,aa9dd09,266bfb3f),
+S(9292c47,e36ad0d9,957a90d2,8fc00580,745a52ab,f14f3d61,c9c02163,e43c41b8,80ea3a5c,16f68cb2,67837544,289d1ea4,48056da5,51b56bc3,e243d45f,51b770c),
+S(30a07a32,2d6deb75,7c3fdf92,db896b78,25b4043,87e7120,eed7cc56,3fc1886b,b07239e3,68803d55,96f843ef,929529ce,96df7e47,36a2cb35,dbe30aeb,1ff5c3b),
+S(4ace91fd,2db5f7c4,29e6fac3,ed7aaf6f,46217f3,e2a67ba4,74423f4f,5f2a47f8,18db8c0c,eacc55b9,fa98ad2e,da9634b9,c47aec7f,9cd8e89b,41913e20,ba2ad9cb),
+S(63ed08cb,b10860a5,4b6c0428,8f345cf3,f6e0a48e,9935727d,9070bfe2,dc0ade69,f24eaabd,e3cb05e7,c74d3be6,d17bed4a,2d4257cb,e69b876b,c161f8c2,4b8ae792),
+S(66e91d3d,e5f63aa4,8fd6d3d,9129f60a,c030cc88,a2ee10da,5c187832,ee309ac4,5d90f490,8f5f0269,cadec883,e4ac47d,7f0b8d2a,cdb979ba,78f1576e,7644aa74),
+S(e6faaf1e,1b7eb6b,e1daa8a2,f7f3fad0,e0250e35,f59b4ad8,a80fb38,5c0ca6c,3ae02379,79d9c291,68a8f555,8469b4e0,98dba357,7ec85f01,8f4043b8,72e78ee3),
+S(c1006c5f,f598f904,94edfaa6,2eab93eb,e11a44a8,5e3e1014,91218cb,13e7b497,b6d15bf4,28df9655,bf70336c,ff7b6d80,b7890d9c,82b0323f,20f45935,6635f4c3),
+S(f9cf093a,f613d28c,695f146d,5790f6a6,379feb52,1a337d66,a5032f93,46a0c7a3,e017544d,56a9dba6,e9c248d7,9bdfca89,8b521ffe,b5e68a9a,26ad6f2e,46299bc5),
+S(90d1d995,67f6afb,37806ce1,997c8917,e6ff7191,5b6bb4a5,cf1433b6,9ef433f1,44b0e285,e03ac5b9,5e4352e1,13775a20,66cdd3fd,fc4a90bb,9d39b6d5,a796864b),
+S(5e48b3fb,eeeb724e,8442fb8d,1510770c,c0e879f,94ba1ae7,f67a853c,57a38996,20650a89,dc8e0869,5f6c2b16,d8620af6,b9de2333,e29ad5d5,56445f54,e4c19a56),
+S(90ca5392,1fbc1d53,7402708b,82d3d4a9,366c39f2,4fe6bcea,8435b5c6,544a4090,ced1590c,b11bed19,8a14eec9,44f1a117,d51a26f6,df89f62d,d4c0ff2c,d38758e7),
+S(7d4a162f,6d359758,9a9cc446,f111da83,4ac9540d,7dc3fde5,8fb8d3c0,fd63eb8a,445033ab,53a9ae3b,7ecd39fe,aff2b18e,8d308de8,dec4fd18,8243ec1a,caa5ce56),
+S(3344eff3,c3a56453,f2d37f8,1970c94,5ee2bc68,b85f53cd,3f4baa3e,2784488c,4966989f,f6372f19,5eb32554,9642e3a0,954ffca3,b650fa01,a7246743,ffde881d),
+S(dcaf9831,99beb377,18623330,197415fa,667848a7,634b4821,610bdd7e,453794af,44c24125,71252bc4,db15ade5,abe3813d,f8425f1c,8a1f3281,6d33077a,bff19bf1),
+S(57fb24ce,887ef2fe,f02be42a,a09f6e24,1bcfc52f,a58c8bb7,fae08613,6431dbc8,c2044794,1200e77e,a1d18139,55f58a30,c9707f22,42529a16,c1bbab3f,dce4ca23),
+S(bc4dc9f0,54afeea2,2bf06988,265d01c8,b3cd5d47,d745c75b,a234f6fd,9231b3b6,9dffd7a4,1627e744,a637017,eb54fc22,4d949bd4,1b1f868b,865765df,13508cb3),
+S(299f90b3,ee45e1e4,3ee1dced,2b302caf,11094a75,9e1bb90f,6c751330,d13e1f6b,6bc5dffe,53dd7c39,51623cc6,a7f61314,7d1847e2,73d03369,836e39a1,e6da81b3),
+S(5a239aed,c93efe47,3141523d,fea3af03,16aee518,8629e8c2,e279eff0,62b0717d,117ad8f4,ea8a387e,d9f01296,e00c5864,ac93a78d,1968ee4e,9c325402,63acc5c4),
+S(609b6afd,77d8c8c4,3c14ea1b,e56dc2b6,beca0239,faa88f43,59f9e6e0,1ebb8839,a576ec45,1bb52bf,39e9981a,4079f3bc,8e417bda,36797411,5e95e384,74632481),
+S(663283fc,3d0fcade,ef669583,180a8e1d,b297cdaf,672121b4,4c481533,1d06bc26,139c7dac,f30b9031,de97c069,76812e66,7cf59091,7f0ac6be,f606afd3,c4f30448),
+S(eedf6685,d605ca2,e97b801,ebc72b5d,e135f782,df6c243f,140bf172,9b23f671,a6da00b7,3ac5edf,b83e8fc2,5d6603aa,72c2af47,62b7ba2a,4ad98aea,53c8f0a),
+S(ed14e1a8,73f82d1f,4e211823,b0632e49,3ce198ff,ec6c19e2,b9467791,8164fad9,fda82b27,3517f8ac,2464cb9c,b0edf241,ef91ebc8,2bda29c6,de3f6602,736c97c1),
+S(f7c21813,63a5efb5,9c57da8f,eaef4738,38b9d34,8d3b16c3,ac28bc0e,b11c773a,9bd65899,bc4d15f8,875ceaf5,936ae25e,b4e9f,ce5963a,dc6095ac,5b867c17),
+S(d407ed6d,b840bfc0,75c392a1,bd446340,9fb8f35d,80d9d4ae,95ea7bda,bb35e1ed,9f2af608,93692dc8,11330ac,35e317a1,fa856984,cc635354,43846545,5a9953d2),
+S(32d706e,fa5382d3,ceaf0543,8e77971a,19e0e491,275d0381,ed705326,86f52376,66f4e0e7,1529c73f,aaffd9ac,a6846e3d,e2e8386a,939d02b0,7f64baa7,1d6c0f04),
+S(ebe33ee5,f6baef23,ebfda782,e9ef55a6,d1b94e84,b76e7784,6d2827a7,82484a2c,27137340,2fcf2cf2,8ed164cd,7fedb8cc,178dc3f1,f02be690,ecb64938,cd942487),
+S(5359d4ad,617f0a27,70392201,a2a1dbc7,fc5479c7,93be1cce,23b905e3,2751dd8,cbffabdc,ce183e6a,acbb21ea,86cd4fd8,97dd22c2,582f49b0,9f51e846,db2e8b2a),
+S(92f718f3,8d2c428d,cb9dcf3c,847375e8,7f53d165,45a89dfd,629516c7,e5efa5bd,ca140596,6d82382a,453a5a4a,98ac315c,4351a4d8,5518af2b,996a0b3c,55edb05b),
+S(70ec6cac,37a78311,8394e3a7,5a0756c2,117b8eb2,bf330440,ff6cd5fd,854df5ea,a1c909da,7c0cb4d4,141334f4,2a819c39,30af0877,8b4ea63e,601e3356,5d0bd54d),
+S(72a4c06d,21fc5b6e,978addb3,95c1da3d,7c6390f,98f0abf9,26770ea6,d33c24cf,e811ff7f,ccf7f961,3c16b50,f74ce397,ec1c3e4a,877dd71b,b15cda1,c3027159),
+S(ca5a0a96,e40e0530,344b532c,be4fcc47,2d243192,4c19019c,c602a6a4,45148259,b3274b9e,f30bc965,eb518686,3bdea539,130657,8199d2b0,4c56558c,a1bc19a2),
+S(50e52b93,574a12e5,1f8c562c,2d335c54,4aa6edd,b3a83c4f,95ae5509,80b76261,dc5c4d8e,ac4d34c2,71af7d5b,abd714b5,194441d,72fefa4e,d1b4ac42,6e44d477),
+S(e5ca0666,86f060f7,7c1d869a,94f02407,962cb101,1bdbb6cd,dad786fa,15761a6e,4ee18b3,7b15138b,61618a3,a7632c68,4f31cea,4d0c59f8,a6ce82a5,2c5480fb),
+S(73560753,377906d5,9ac8c104,57742dc6,2d37b454,658d90ff,a4cfcbe8,f0e311d2,35ece58c,a5c7e200,47f80080,28fcacd8,2c8254fd,99fb392,f8e3b96e,31f40e4b),
+S(a419a2e1,362adc6a,6fa18354,dcdd0cdb,37a4f8f9,bd1347b6,8763276f,b7acea19,c10fd807,3afc6f05,a2775e52,5d880417,f1c684e8,6dae0e35,9e600cf,9a6fd02f),
+S(64a26b02,59fdc9f8,86ce26ac,cd826316,95eaaa3e,d95f9504,93c00505,ab149aa2,b03fca02,6b90848,965de8c4,6adadb8a,ff41f633,6c4af3b8,2a064880,f455b07b),
+S(a8db77bb,4528572b,1630adce,107c8cd2,a296783a,acfbd84b,8cce742b,2c519e56,fa81ec4,7565b607,39dc4769,39624240,725afb64,df8ad9e2,70291dc6,acd1b19c),
+S(95d43497,c9e2f1ae,4ecf2a6e,7839ed5f,135ca565,909fae2a,9590ffd4,2137e772,7977da8c,7d6d8880,d5c6a7ac,56b1ab4a,12d101f4,a26bc594,3c1ec394,5e085b7d),
+S(184ad7a,9d1f54be,ae9bacd0,30707699,16e4158f,f1c7a9a3,e7303f38,53011793,7731244,6ceed0fa,3a832731,b477db26,743ccf3c,f3d8c09c,242c3327,6c67e3e7),
+S(2f0ae3fe,5aa29a17,3a2718a1,91171d8a,7d33d2ee,6cc201de,4afbb00b,62db95e2,90f37a42,efb5787,6ed382cc,3a243179,4860ffaa,848b6299,52c6ace3,7dce5f28),
+S(aa487bf7,fd746413,60e46513,4dec0aee,84287354,a74600d,65d02102,8deec2e3,d5de9cff,94ba3830,ece6a020,e9bda5aa,d999e97,a0ab4a0f,27fec770,ac2231ce),
+S(54551633,398a72f2,66754798,5d2cab2b,6a107d84,72f8c06f,a34ed482,3a2a133e,4c33cc27,c462a5f1,e02bde02,aabb69ea,7a6c258d,55c6ee2c,a7b573f2,a7d970bc),
+S(3b28883a,7df3010c,90b8613f,1b7639f0,7d766ebf,e3c1a02d,3bb20c14,156747aa,a3b1af7b,b133f94d,d2f720d0,aae669e8,b0a1b6c6,c2e14b66,72383cad,c28dbc71),
+S(b3910ffe,6c153fe7,59ac3097,fd1a3b12,181deaac,f2cc3310,c036ac54,ccaab3d7,e242b0f8,de758d5e,ffb5e824,9cda6202,3686bbfe,439bed7e,eeec0c88,5b7efada),
+S(679c5fd0,ddb09e92,77bd7c4e,651c862b,4fc18991,3892a31,6d0ed64c,1b66a0bd,f3cf0bd5,7e4085ab,7dce51b1,479e4ebc,63efb364,d11902a1,5d84b89,5599eaa4),
+S(978d478b,3ad85f55,4b19a2f9,22f57cde,3d235bc1,92511422,fee2ad13,82a79f9d,fe0acd64,df69cdd1,985021ee,135050ec,879ffc35,b14deaf6,ade2734f,91781de7),
+S(7e683666,eefc660c,e4326801,2690fac,4b0e3812,7de197a2,ca46270b,cba20572,250becb5,eda33bbb,cfc594bd,3675a82e,d5eeb642,bf755d2a,9e137ae2,1bd218ba),
+S(8b90f968,26c56532,990cc0e6,8aa007d7,4555d566,7be7f23a,306788d6,cad77664,bc021a57,8e37d617,4a8320e8,e7bf68,4841096f,e191588b,79219fc0,d2559f6b),
+S(b4e60f20,b7c71a14,80710413,fe81fcc3,88e83167,2183c36b,71185522,112f854f,d12ced59,7834d01,70a69bef,fb516ae3,4c67fea9,573bbe48,b3c2cc7d,edfbf0ad),
+S(47d28ba0,3be64972,b30e7cb2,d4193440,bd4efc5,17194eca,2ef59cd1,78c6429d,304390c2,7a550fe6,23c9d6d1,465241d9,5827362d,ddaff80d,26ab1bf,9e32cc43),
+S(2441a57c,1b9cea4e,28076f12,7fac389a,1068247b,56a1a4d7,7a2d5c1c,5945dad5,ff976ebd,3df8763d,aae65b64,c579408d,96b51a6e,9b3a85b4,401c25d8,fc9263fb),
+S(3d69b290,d22112aa,ac7e2e7a,ded5cd9d,80754cd3,20831381,6e3840ae,d986ba78,bf7a0570,53ea3a3a,f27a866a,f0920ab,47f72d5a,f9859c31,6239aebb,d8d4ebf4),
+S(2ec76c7e,3d684284,902f1725,54eb3dd2,b0c4304,4807a25b,472febf6,e9e6d1b4,97112d42,6850ee23,e57ae095,2565ee23,66c04ac1,6a388a44,14264767,20e38ac4),
+S(972cb83c,80859ff8,96b0a318,a3a25386,3b6c99a0,49faca99,d36d5150,36da0e60,9668359c,953d20b6,e1873041,f0aea3c4,8e5a1d43,e4abab48,c0eaa391,8f7d8e98),
+S(dfa2ccc6,9cb6c27f,6c072fc8,bc875c5b,e716c701,81b451f7,a85735ba,29363243,6342e27b,f9dff0e1,48fce3b0,1f9e569f,6af4a97f,b434725f,feff488c,501a7b4c),
+S(3ee11d8d,8a46cdb3,8af24cd,f5f23f6d,2f18bc60,9f89fe14,ca0326a6,2a75c4f6,41ec4c72,ae99670f,2c5a4d8e,f0b2b211,fd3ea5fd,33b9158e,383c3ac2,d5c759cc),
+S(bdc7399e,a6415348,77c66ce9,c62c1a96,7dfb72ec,6ef61c,e50dc71c,cdb3df96,90bddf9d,21aa5a98,8737c202,f89213d5,dd43c352,90a5cc96,40653be2,813f3f26),
+S(d170eb03,dfad39f5,2e72298b,881e7c40,df9c4ee0,94cf092,25ef7b25,4250ac25,c9b3b36,937a83dc,c0592f27,202db5ae,9868f917,e6155e55,c9e0b3dd,8daa9085),
+S(7153994,4971899a,8eff44c9,f38d4dba,e9315f,abff6106,a74231d9,97d4c66d,a95c07cc,e5d41397,7bdec5d3,bcbeb106,9dd90aea,ec57b911,3c6e3a69,baba78b6),
+S(516ebb6c,f30e37d3,25bd8a77,f99e32eb,f2a84716,45bdc04b,a39b514d,268e9927,72504ee6,53710799,f5295c69,c022854f,b6ea6ff1,576c667,ab936d66,e651d103),
+S(9de88063,6bcab6db,c7967dca,ce14949b,75529de1,73b46fc0,37a8c450,d5686d29,399f8480,c0f68bde,64ccd187,f247e09,30cc258,69e4779b,868d0af6,1e2dd1d5),
+S(3a59c31f,dfae0e1b,a9b83db5,6f1fc0f6,51a0f9ca,8dc49c15,6e8d4ba4,a3ecd58b,a0513e83,600b57ce,3f87c762,6c0092d8,f88e0b4d,4b45a291,61abcd83,d2e93bc),
+S(f533472b,fed40d17,566587fe,6f9e3c7e,3a657962,acb80e5b,319003c8,9b0b16f2,2fcf2b72,102dcb28,b36d8014,ee850bf5,9700d4d4,ae07769a,61bc0730,6a92304),
+S(31b9170a,cefb23e2,330495da,dcc8729e,ce63a807,7406c4f4,de3d118d,1b759abc,111324ec,fdd8522c,64c0ba5b,a73cb848,9f1e77e8,d19c9731,dcfc59d2,26a88f41),
+S(17ea4c86,6e3293d6,6cb535f2,db4ec265,331a4881,a9eb9941,2064ee60,38c3f8fe,a88536de,8cbec45,3d6fdcf4,3e3b5771,25ab4791,e2f318f2,c7572b19,7f3f02de),
+S(f7a2f7a4,9462978,6f82557a,ec27a021,21995935,d5ac4adf,804b28bb,36ae5086,8a7ed1fa,60125463,96e3a50a,5616c515,3c5b6676,92bae5ea,f418bb57,8c4f42cc),
+S(4a6b83ac,11a8d30f,c2bc4ccb,71b312ac,9ce05d77,3ca4a971,2f45f16c,c4a36099,c198732c,fbdaf72b,2c0471ab,5b4e2ac1,16d62e15,c5cf3bdd,c7fc2377,1db156ef),
+S(d61e0f2b,757b2147,36f69e8,80f7882,26796f21,34c8ac39,7f023f60,9a222df6,dc369e3b,a99264d8,1041e2f5,decb93d8,7f3ddc5d,ebdad99a,1993e432,f92326ab),
+S(ffc48a38,3faa0772,995f2074,4329141,1ded8a68,69f54f9a,53e14426,8d2d7788,edf446f2,660f6fe9,95129656,fafb76f,c1ef96fb,7227c4ac,8660cf16,867aec57),
+S(986f203c,c3400685,610c83b4,fcf7a0da,636d92c4,f6f0bdb9,99b01321,ba47b952,7e152eec,4ea0a4d4,8f594801,40e5bfed,6539ddff,60646b86,ab463f9c,1c1cd72a),
+S(e078d96e,97b33ea7,bf1a118d,8e45104b,18da1b7a,f799b5c2,2fc95db0,869a4b56,500aea63,487620e2,1c89ac2e,187eb32b,5567f715,2a090d9e,8e493190,c0b904c4),
+S(a0b76ce8,3dfbfa5b,9ffbed50,736a676a,8e3e58df,aa3684b,68943ba3,f89d0ee5,5087ed66,33d4eafa,d7f962ee,11844da6,6e152831,8d780d83,5a9e7341,77c2551),
+S(e6137a2e,1c22146a,81b622c8,947ebd54,5ee49505,e7343d6b,434ae440,f74deccf,b9598911,43813abd,14323cf8,fd880dbc,bb4ac611,e961c461,94d0f78a,1118b35),
+S(bc966ce,8e2d896d,454cf19f,8126bd2,fd21f912,9e0c5b56,3afc6483,d5a8de1a,d7391926,bbf51367,c0d84d14,9fda784d,4f5e4db1,a4a71868,e8dc9968,ad27cd7a),
+S(4fed3ecb,7303d658,48260222,6bb94148,b56a753b,902c3655,47db1db9,9b355624,87d3c83b,c4336625,4ddddcc1,a380b9a6,a7796f7e,6da00426,5c067f85,7c446b5f),
+S(53151e3e,793f7ef9,a75180c4,ec3106ab,af3452f5,1a8c5301,1607ef98,3fb208b2,ba84da4a,dd761991,f375cfe5,146ba47e,d79e8983,8ab1e71b,737ea419,7aad93c),
+S(f1ea6a7a,1595f99f,187287e1,2ca4cebd,8268da53,17c9deda,31c9c828,c91ba210,77d27512,38290ab7,4a75d9e1,63238537,555b51be,c0644f11,9409c1c1,7895c2ca),
+S(4ce24395,80fa27b7,3a3bbed7,379b19d9,4c59e23b,1d482237,3de48d84,1e7650e8,258ae955,11a0890e,5912f651,f7705920,1971d6,82ea9abc,92d34888,f134aede),
+S(20f5aca6,c33e91e5,97b66f07,30a7eaa9,4badf23a,b6f7653a,69f7a638,8ca20808,58642a87,964fd398,259037fc,c0c3e028,392eb7ff,15646480,1656cad8,7b6165f3),
+S(5a84a300,9a7cb6a9,e86447b3,9d449bd8,3ce4e8a3,88395cc8,b851d961,df2bdca4,a724823c,bfa39a73,c02e8509,78d661d9,fc8dc8a1,e3a98c21,45448b2d,2c0d8d26),
+S(4cc4b57,2e4cf18f,212315c4,65ed2464,b7850846,d64872ae,7b98d316,73853a6b,72594713,74be90df,fdccec2f,3a84b30f,74d6cbbf,fe966fd8,77de5b51,f9eeb409),
+S(84aa8352,80aff2fc,b747f2d8,6e6d3f7b,5828ee7b,c0024d9,9b9a4998,fb809d48,a33e80be,b6131f8a,6ede3e5e,2bd265e8,5773a903,5912ac45,83cebc02,e0f70585),
+S(4354311,ff6b6381,92ffa63f,a7a52fc6,cadcdd05,9adaafcb,7695686b,478dccdc,fa6b68e5,9d7f3aea,8d90d21a,ff26041b,68f68660,745bfee4,179d9e3a,2683f06e),
+S(5be8ea1c,c7412e23,fe4a505f,aa15006c,ed823cb6,1853dde8,2e7af0a0,f06cc196,a2c76a9c,959b6b5e,d71dc83b,7a81e43c,a22a019b,8ecc54b0,eddfce5e,af9cbb45),
+S(a69f7034,b680b802,189c6e8c,9cccd352,ce9ce14b,a50f9d41,a5991af3,e1822a07,df0cb8d6,86a38785,77235cd0,edf76b1c,9e902d2a,aac44b99,c916c3b5,848755b1),
+S(f278be9f,11ce9c4d,2fc94317,98f3f552,b3f73bca,7da23757,93ea99ab,8aa0418d,8ec2cd50,6f3cadfe,2eea65a8,7cd8be99,a29d57c6,69482737,44e48289,d5eb283f),
+S(28cf2333,17cd2dad,a4c83715,d0af39c2,cbdf7d98,7c90e1df,8709bdb8,929caf1e,a7905953,6c19b52a,459803cd,3a2ffb3d,d5597e5b,656c05bd,86d8e3ed,a9b7dc51),
+S(45071195,99d6f85d,1e585fb8,2d4bf807,1b8ba01a,5487ef8a,b80d0508,2edc7b45,4951b428,1340ae42,1586824a,24933dcd,31a954,880d3c0,cc49864,72b6bfd0),
+S(6df50945,4355e918,36a945ff,fdd68626,1b20f362,b1a7f601,9041506a,7cbade3f,38301bfc,e21d32db,83951120,954e9d56,179bf6d2,7fa3d5ab,7c37ef40,5245a031),
+S(4db57458,b29c47ff,6f8b8ee5,12d897d6,36226380,4be13a48,6837f8e7,ebe147c5,e51039eb,7f9c8b93,3ad3c932,1b254cc9,f6221e35,13cba26b,a7c3e6ea,44f93ae6),
+S(ad0ab782,d9a93270,b7083a32,b1913b7e,b0fb1947,9c8d8be5,ea74d0b,2590e087,50ecbadb,d801fdb6,5d40e84b,1511522b,3e603d06,5bf3a6a4,2b864558,c72c3fa4),
+S(acab606b,aa8bc48,c452487c,700ddbc,daa04799,e9f57811,c47587c3,18d3900b,5be0eb5f,3f78292f,c248b704,f6cb2df1,891a05c7,822d9b47,35efd687,35b2e6c0),
+S(16168437,b019abc,49fcab11,f7c0f2cd,14c2f784,dbfaeb40,f3790404,c4348d51,c68bc496,f40d5e97,4fdbaa51,dcf54ea,fb50abd,5ecb9f87,99bb3533,262ce86d),
+S(5f03f4,a6cc9ad2,475d0f90,2090888c,31ae6eca,b08f7e4f,da8db504,876c8915,c918b3fa,1104d382,1d862299,17e0c5d5,cfbbf924,f69c24c9,d97b7091,157d7ed),
+S(6da6938d,ef8b701,fcb228a3,c9066555,b4f7f0a3,297de3af,39d42897,5f0a27d0,f3ca7083,79910a1a,cdb94e7,9a7c8eab,e2c1b779,b749ad6a,fb4579b8,a3c56b6),
+S(6b25cffd,587c71a9,3a736f8f,f5daeea0,26734350,fd158415,727fe6fc,6d309f86,dbf00735,d0c10049,27d582d3,8e61257a,770067fd,f9418dc6,73cf132a,c33f7b74),
+S(7c48e557,27b1bed3,604cc3f6,7e47e24,b6f9b8a,7cd56cb9,f531ea5d,ef793f12,4d251353,73636962,126782f2,170cec17,e08483b,5b651f78,f0723da0,d6d4369f),
+S(6769e622,cfbfe289,337de46f,4b6e1843,97fdc046,4560255d,9fc74c06,b00fc7a,523669ca,56e3e24f,b2490db3,6ea0bc33,6851041,d9146dac,1aace8c7,3a55e92b),
+S(f83e990d,87486667,11214f8b,6a4643e1,901251c6,118d4d2b,a9087678,5313984b,b9decf7f,44c2cb00,d3d8858a,164a1,7ccbb6f9,5bbfa72d,6792ced0,4786a12a),
+S(f3034416,5db59472,d7753efc,b55203b4,44b3a5f0,88825c4b,145d982b,38d369f3,3b765eb4,fae61edf,4a4c3b11,c71c5359,d8920eb,5cca2896,226e85ba,5932458c),
+S(b2051f1c,5e6b22e7,d565ce94,bdd27c14,885322d0,e7bd3db9,eb13cdde,b26fd66a,b3245d05,2e93fc5,362d7e0a,4a4eebd9,ef8fd1d6,15c8a343,e308ef26,b9e331b6),
+S(443958e8,fc9271a2,5215abbc,ad1bbcd1,887286ff,53d0d6e3,7803df80,f26094c7,3ae3f492,f51f287e,3f881bae,b16f4ca5,60583593,108053c9,352a48aa,95ceb545),
+S(e8c5c31d,8e814515,b992ef4f,28bed3e3,ba6b2ffb,373a62d1,45976712,da8f5ad2,9d9e9d26,83c6b623,3d867d0e,727d00d7,fb5b7312,74d58bc3,b036b74f,8c22f676),
+S(8b997cb4,8291df62,82ab7ac8,f6a917ec,330e76ee,4d21147e,ac15d3,2a9900ef,ba8e7e28,9bd40fc2,ee71f32e,48b1ab1f,1daf8c1e,6147cca2,a11befd7,e93b6920),
+S(18ce6b3,126fd15d,29377619,4ad888c1,9355c739,7099d851,60111cd8,55199865,2f4ec4ea,4d215ec1,e102f7c9,ba9137da,5e75e00c,52b4d740,57bd37fa,61bcf038),
+S(5b28c60f,a6c84a2b,dad6febd,f7cfc5c8,9fcf0e8f,d5cc8882,9540330b,8eaccc7,4d1c0d1,bb90266a,219592ae,ee619a4f,7b07c3a5,430ae20d,945f2121,2a652cdc),
+S(5d4bf89d,fc3e8ac6,50f7c29f,6d878ce9,a1ba9cd9,d5970a58,ba7975ee,16496844,ee920d1d,8d7ee256,7f556433,90d0cf8,48458f75,f81b9f36,5c48dcdf,d60a96ab),
+S(1fc5cd84,8a5680cd,76deb83c,f8ec6d99,db0e2fa3,7d7ac5bf,feb07fc0,ce0f0d9f,239f7252,18017a1c,d8419aa7,229eee96,37251ba3,a4a1eff4,9e42a29e,4f61eeb5),
+S(e5a33510,603428c9,10cb5bd7,1da8bbca,3b50e97,46475a49,9d69b7df,badf601a,ee53e84a,a7e18842,a6879ba,ab59998f,62b6eac5,499230de,55a5c681,5d287a65),
+S(c5ff6446,39c1772b,efe07d3,aad6dad0,5ba3074d,588d362a,6b5de6db,9d26707b,f11fe8bc,7f449e9,ecb22301,f131c6e9,7f4cbc52,af8fa880,6272705e,527a8e5f),
+S(8246573e,b3ebc64a,c2118bce,9a275eef,6df0a34,61057e4c,a8836187,620041d0,fbe4a4c9,3bf019d3,2c2beaaa,ace3e4af,6c924195,8af4e387,d4ab3ef1,5146491c),
+S(e9e9fd34,83b18055,cbbc8e33,cc6f3fc4,c507bb8a,84a09254,4822b44b,3d6a2910,45a4b02e,18da3327,80ab1f5c,37545bef,551c9a1,98616099,14bad711,1b4efd0d),
+S(c3e53eb3,7d3a9fdb,bc2ab9c4,83656ff8,375bf18b,34aac991,ab5a6584,19d5f2a5,f95cb1ef,a793934a,2c1b0dc2,a0746974,75a29040,7f4413e7,449cb71a,af96225),
+S(f54901b,fceceb3e,5beab5de,e9a93344,f354d956,5a989fd2,21cc8442,51944dab,57c0cb7d,8a79b236,608d7971,c1590672,8b5039ac,32db50f4,f50ca4fa,eabf3014),
+S(d5cad259,e0716691,b5a1f8c5,970b4bf6,c7329aae,e4ab647f,daed2388,85b4fc55,4d944544,63cdfbd2,d769628e,bc60f501,ebf1d1ba,a1e4d68e,4a50e57,7afd7fa0),
+S(fdfe1cc6,51fda605,d30582ae,d6d3e74e,855c278f,4151145,312f22e,ac142bbd,42f5dcb9,5772bf4d,4451614f,854f5ac5,e753533b,4d16e8a7,ee2a1adb,64df9029),
+S(4db28db1,f69d04e3,27a438f6,199a5f98,292a6380,5e8b7edd,b36d341d,28d2e790,fafccf3c,394ad72d,40e938e2,5eb64079,f8617499,313241a4,99a840f8,733786dd),
+S(1dffedf6,a430c31c,9875ea06,227583b,5e5160d0,b2d975b3,452a99ec,dea4d3d7,67bc0a31,ec97cb9b,fe191614,ded30a63,f77025cb,5cd7acc1,2e3d84fe,24b590b6),
+S(41239a63,857928c3,e4d51a41,f77129a4,d60c7d44,9b6028d5,3b183efc,2452403a,8ac22f58,288c4a53,b6703f49,cff08a9e,39c16516,126b2803,9a0759f8,776ac785),
+S(f2ecdfa9,adab5e32,eb7740b2,4eeb0fa2,649baced,1a69b03f,d47434a7,3d0c28e0,133952e0,ec187463,6d5f15f8,d2ab385d,aa58bade,36b9984c,ab94a591,70f2beb4),
+S(7e74762d,c7c312a2,2fb7a48a,b9b393bb,7f540f7c,279eff83,c2170f2f,27132da3,9c7e6962,f6fd9cfb,a83a7b7a,85062f9d,add8a558,cc4cba51,d6079072,b7775daa),
+S(613df89e,dc48052a,b497e0f9,571703f5,78e0ffcf,b116c162,277319b6,df774ffd,9cfa93b4,61200eef,c2e7855d,898a4198,52921aab,a30412f6,218095c9,4827d672),
+S(caa6c1f6,c176e31c,a2baaf8f,39a1b5e0,c1c28443,ac8503d6,f4a55759,8e8180e,556a1519,73ece75,8e68d10b,151039a3,ed0521ca,c19281e0,255ec99b,10c21a26),
+S(267f26da,2393ffe2,18f5c574,ad4fb6de,634ee94d,ee5ff952,10dd72b,1c550f5f,234fdc5,fd8e9412,650512c7,a510dd4d,f5ae9c88,83ecb1c2,edd2a3ec,d4bc3824),
+S(8a26bd9a,b45c1aa0,772d794e,b088a941,2414b48c,82e2a118,23e869e8,3dea895,68ec5163,a955ab1,7c338a15,d2b66d36,5734f015,4e21e750,1387e978,452d9902),
+S(29593a26,f0b9a728,c0248f06,4471e56e,4fc8d38,9823f7da,aff9e46d,81b9eae,710860e0,a9c98dd4,b1086e7d,2364be88,8741253c,9b8a7772,7b4ac275,53cf9b72),
+S(5676cbf9,a0a41fb7,cbe1f3c0,a202bf7c,4458e938,964d903a,65325526,27454bd2,96cf5b8,1aa71fbf,f1f60e7a,2e4d28ee,ef7d0288,1b63d8fa,da9a10e7,8fdf7723),
+S(6db9282,fe0ff035,b279a832,6f1c4f63,839a6c67,788e2e5,af7a4492,ecbcd9bc,4788671b,aae2f709,a2377b86,2c30af5c,49c721ee,fb2e3f91,20d49eac,821bbede),
+S(db46b01b,c6047a92,e9e5c8b6,24f6aeab,16b213e7,91fdaade,8f045c55,d8de4275,9bd83ff8,31737782,21f161ef,ea079ea5,1e459023,445d8255,8e5f318e,949b52bb),
+S(fa91fa0c,c71a2f21,38c61aeb,f451b435,1ae6a432,53a242e9,249727c,7c649ada,7c518caa,bf9fc9e2,c88a9ddb,712f32c,d8d04d7f,54dae53e,7dcc154d,e8826b33),
+S(9752d6d9,e7dcc767,8bbce21a,5a7a3ea7,66d70518,fb59f435,eb6cd1a3,40f84dd8,9d1c48aa,2965ccfd,c03f5bfe,41a073b3,da6948b8,457e6e0d,c8a13de0,149a00f1),
+S(ac9c0ed2,2e66bb0c,83ccb76f,62ee840b,5f2d6f5,568697e9,b0223009,63cf3c2e,37532994,58f79d71,df7d1b04,91523c98,9d30578b,706e3665,6c897fb1,1746c948),
+S(71a9d71f,1f44b087,e02f7f28,5c47c947,f143d9d5,95e59dc9,64233226,d51c15f3,998119d9,7ad626e5,28e971bf,6ce85176,e3b9a095,1426f6d5,6ce8eaa2,81d6401d),
+S(fbb85fdd,c4c25602,13ec981c,a40e69d5,6f3c6132,d1ffa38a,87b25c1e,87e40ecf,85882651,1c142a57,6bcf5f9b,1fbb0786,38511629,4c1c82a7,21e24bbd,16551bfb),
+S(ad1fbec6,59b15b66,d34190c0,cc9165de,e48221d,eb1666e9,4d18042c,26db21e5,b579467e,d7d83215,c260dd2c,f089b2ce,513aa5ca,c9ac705e,e5841a65,8a583e18),
+S(2af71297,ce1d4633,4ab66dee,42d005eb,845b927a,e6ae91ca,2fc8d414,58ceeb68,7477917c,5a456710,266815f4,39135116,69654290,36968cf8,e6983ee4,c508e605),
+S(c0ae4daa,d71b2fce,d9c9b40,76be40e,a0cae11a,3d86ebe2,282f52d5,b86f39ec,61343833,f5d4ebf7,4445c133,37fef065,13fa3e0f,66cc7937,698b0cb6,9225fc9c),
+S(93178803,9a374b99,df4135a3,50e1be5a,efd2e73,fa9c050a,d0b48812,a654c529,1bc01acf,3bf8b64f,6ac15664,c163ebfa,4a1a6ce1,4f9d3a9f,6e5ccd45,beaba2ce),
+S(25458ec3,e24ae756,51f84ef1,a2bf49f,c19e86c7,99022de6,b7b58933,82a0050b,eeb2e93a,e357cf8a,9afbb9b7,fc0e97de,d80876cd,f08ee79b,ac07324b,cd41463c),
+S(136e031b,1ab7a45e,6b8c3b53,7a615fc3,9e89d81d,a822e60f,aca2a496,e651e974,4cf2e215,8bc5c677,60e7d9bd,e9a476d5,d44a1c98,804e2697,a28dd17b,d4f5fa10),
+S(5fefc4b1,2a3caf6f,3d025f3c,3510085e,ecc1ed97,46ccc265,1167cb0f,7fcd1af2,5cf8288,30eb25ff,1ad53354,acc72f49,5eb558f4,776b219d,bdec8ae9,24b1f125),
+S(807a0f68,dd6026b7,2116e606,90a39596,e8558ce1,d11ffc9b,dbf2c574,40b82c38,12a2f38d,c84c41e8,2526fe56,2b877aae,10f575de,7edfb5ce,25f6a93b,158535e7),
+S(8579c776,ad8f4fa3,65bd4efe,cf0b66be,3cf33cd2,61efc2cb,387c9a13,13947c34,7d888de6,9403e15d,3489748f,5d85bf7e,fd8213b0,673403fc,28a3d7e5,c3559198),
+S(7374f757,46d03189,46386205,bc5d222e,243034a,3e0d4566,48777a3e,9239dce0,396af260,b295933d,2b6ae205,6fe53231,7ffec745,c4c95621,c1588d68,c3fd3f75),
+S(a076997a,d9c613d4,adad3eee,9cb00a08,dd747840,4fe33fa7,34dcf3b7,58e8670f,8eef221,804526da,bc1b88eb,4320ea86,8d36ba82,775d059a,dcc4017b,6356f60e),
+S(88494285,1a2626c7,f52abe1f,b31f124d,6fe0563d,c962c35b,ac690b96,27fbc604,e0a56299,86cb2c2d,a790688b,c63542ab,7362969d,d40d9ce8,5ec09e87,672cfe35),
+S(682bb535,2da425c,87a541b1,35925e63,a161a84c,30beff50,b1c34193,fce7a6d,cea25359,481132c9,e9792a9c,4beedca3,4d16c3f9,f46349b4,e9d6cda3,e55f9b6d),
+S(f80aa12,f4fd2631,26e01c2a,2cb0f86e,4293d3b8,87fc954d,daeab57,cbbe18fd,f6a2f24e,458214d4,c07d9191,23f8b6e0,af62d656,6657ff2d,c9894fc6,11917100),
+S(f077e470,ca971bfa,9c762c61,132f5dd5,53eba38c,9629a8a4,9fae5b00,a23334ba,8bebf838,df798f83,88200f99,cdbcac9,8495681a,e4debeec,3f5ea4a2,b07bd87c),
+S(1cffbe02,6cd70d89,f27a9db5,284a94ce,c9705d06,72b64bda,89b3a23f,c8b4a098,ea668c0d,61b0307a,15a303c9,cdab0ace,2ce5f1ef,8772dfdc,85d936e2,57bfe49),
+S(7694c9e6,c10ece3c,f7ca1bc5,aac059a8,32f541df,da8342b3,ae31ea66,35d3c5e2,98054fd,39bf818,91b0d50a,ebf214a1,23010078,e75b20dc,c6c6c768,493899ff),
+S(54f25d1e,1de2c437,39bcd34c,8a7e7d9e,d322a6ef,bc025143,de17b95f,e5cbae3b,a0a13012,cdff3d30,6bd3e863,9b1156d1,17c1f74f,8be3d8c6,a3d7a77d,e20c3d30),
+S(ec3ab50,419649d4,78592017,c539f924,122d8aa5,4104309f,fc213499,8b608cd3,9f147580,8523383c,83f75c37,4b802589,fb1b0f60,99f20cc6,3497979c,4e558b4d),
+S(21db4eeb,7f414ad,d9d951f2,ea33b9dc,8ac6f752,5549c982,174a4742,7dc99145,b4cb3a0e,a408bb1d,31e946b1,f0a99344,b0f2fae0,183088a9,543bef43,61950b22),
+S(9e76ef4d,aa872a56,514bf43b,767a4bec,59dd96ad,9c436e39,807a4e5b,ff7b96a,7245b4cc,a609a698,bb3c6ab3,78d5236d,aaa3d8a4,c8502f5f,83432d62,b46685b8),
+S(ef1c1a18,9fff9518,b1b40bf8,1edf4505,6a46bd92,1bd93c3b,1291597c,1d50bf29,ccfa479e,cb5e2217,ee9d2af4,42cd873f,953ff640,4127f760,2cd465d1,6590f309),
+S(2fc501dc,d994ee04,81f1603,78a056b4,44b211cc,85e23459,f9969f57,626b05f6,29385f01,6b4180a6,93533c57,63e33818,ffc4f63e,72f78174,91532bf6,89d3b847),
+S(52fc0f14,ce831d5,85e242e0,8421d021,cb58ec34,1d3d718a,34764966,48017b80,ee55bc21,120709fa,67251940,2531b231,e9713263,b28f52c9,a294b32a,cd7b2a07),
+S(86932072,532e1a89,80b5ea8d,896deb75,6ceb8a11,87affd5f,c5eac0a,8ab374e6,efa4d9fe,3cb01ae9,b685e938,1a7ed4ae,b673d6cf,3fd8b47a,d55b2b22,cfe771c0),
+S(d5001bc,4888eb3a,28ff21c5,52fdcfb9,f64be472,d677500c,2c6ad71c,854731cd,20a40358,579069a6,b246ea31,3e58b5ec,6569ae72,ddc20a0a,5ad7bc14,70aac129),
+S(197d8ed,db431380,ac8419bc,a9a415d0,c19ff38e,84145635,a50eb5f4,fc026731,137d9984,ec510a78,130587a,59a3091a,24581fe8,40f49bb4,aebbfa3,9367ccb6),
+S(f0efe141,83441eb,acd172a9,5496b85b,648deef6,9dcbb653,be2993fc,ab70eae0,1df1c523,4433bc9,7050c858,f477652d,636edbe9,8b3f51ef,b1a2ec17,6a0ad6b7),
+S(7657e05b,c0659f26,2f2e86c7,73dd6dde,1e650064,5fad0165,4b52803d,c1c06599,26407f2f,a1c5c820,b729b9be,4a3c7c6e,b5c0ca46,f9c07d52,654bbd67,2a2d5f35),
+S(6d037db3,bd776672,ab096fd6,e048768b,3acb7e5b,14cb4a77,ad8fa2cf,b67f7605,81d83989,87d95d38,5412e93d,43cd82e1,1060bfac,72d689c6,4d0572,7356db5),
+S(16243eb9,d4eeb5ad,a68617e9,1dd8fd82,87db58ba,f7b65a40,db756936,54653ea5,fb3d260d,abd9a44d,e8795df0,cf9959d6,b94bbe4e,caf9c715,c4612c2a,4cea9615),
+S(a59b5c4c,f732c9ef,f10b7ce,6e918562,d6082906,8509eef2,17c539a7,7601a48d,ae27b1d7,77021234,d703c423,cc7052b5,7f23388f,371d2a07,e0188630,ddbe4cb4),
+S(33da8d1b,ba39bbc9,fdf39d17,1b8256f8,853da773,184d62e1,6d0d6ead,198b3cf,50bb1787,a917a656,622be1c6,1948adcb,1992153e,9b7725df,b93007db,7865719a),
+S(4e5b40ec,c1dec23e,ffd4d2ed,4b3be8c1,b2a37ae9,e7d17d02,a00c046d,6173c48e,a68713c,3cefb9aa,559caa17,ff33b2e,476cee33,27dd5026,157ae77d,98bced0b),
+S(86c5fb99,352060fd,2125290f,cc4625ca,2aabeda9,5470c14d,91afbe64,36511ae2,aa638940,d79a2237,c1cbc174,14ccee68,aa6dee00,c411dc3c,caf3b4e6,a24d5a24),
+S(f3082a0,934921a7,6dc3d0fe,45d4badf,c0bb26d2,8b597a4b,bc7bb719,e43c5e7d,2f7a82ad,fd0099ee,3afbe9ca,a279ebbc,55841101,e1d2361c,1b7b4e81,98d78a90),
+S(9eed2803,f83079db,90d50731,3fd889db,adf10be7,625a6455,709690fe,318df86d,1eba34d9,e0eb25b0,2494e3d4,14bbb963,69b6b6b0,f1ac8936,58170039,4ae254bb),
+S(5045129,bafa3288,6d6678f8,eb0fa73,c182dc1c,ea039839,9e7eaf01,13d10432,f9290714,bb6972df,99d58a5a,50bab590,8c274310,1455d479,db9851a9,242c658b),
+S(5083cdc1,1249ae24,4d1891a9,d74ee53b,90bb57e9,25fe26ac,32c364ee,99544031,ad385238,f304b7ec,6726ce24,9477326,15ec400c,c60069ef,cba2ffd1,c33ae39b),
+S(6c1f547f,41bd9771,aa16cc9a,e19e5787,52e06b06,3d1aa740,dd219bd4,b8413ded,4e42a565,5169be0f,a65a471c,fd3fedac,58dea3aa,7cfc31b0,39902c6f,9938341),
+S(bd455ad6,2c32f8e1,98f92a6e,ad5f8d1d,4ce6ab3b,57de4c76,d4a2557c,9d0cc2ca,ee672a2f,e514b76c,ad8af99e,20840aa0,231c423d,450451c2,66130160,a51db589),
+S(3ef7949a,2f73d9eb,29390e2f,621cc651,54a31770,d49664bf,6602f8a5,3107df1d,faacb2a3,7050f0e7,d3d5e0be,edf3f658,ba30da79,df8fbc81,167bfee9,aece4f69),
+S(8f45c59e,dbdd7f48,cdbb0fad,c2058ca1,b7007ba7,4ed1a121,4c6b562,7bcf6acf,357a629d,1e9800d5,c1f83981,81a39afd,56b1fdc8,9eec847d,a72fdb26,8d7fbcad),
+S(3f7d488d,82c85663,b618af77,30a1b987,f662238d,9ce02ed7,f5160677,99ded34,c61323a6,bd1d8c43,506e24b7,e0635d72,e8eff076,db783b56,5f9424c6,8a1b53b4),
+S(3700e5de,478887df,4f0819f0,86a2199a,a12d5925,f8e5c32b,c40738d2,edb329f8,8218c49a,3f40c04f,2a9ebf98,cdbb2d5e,1e9f2b51,5dbecc94,76f6e54f,26711232),
+S(47ac5d4e,e3147cce,3d3e0c66,fb0c3a8e,a1d9c0fc,92dde919,7153ef9a,b4de1642,37b484b,4f0b4016,341a8b02,8136228b,6744ad3a,a871971c,6fb07a93,d16dbef5),
+S(40cd13b1,6b0d24c6,d730c135,6ee2ba56,cfe6bcaa,d38ada27,230441ec,b50d5f81,31ed93d9,a98b6945,58c0130,b57c8c27,5caf386e,690cb1c,96b530ff,7a3ca4e2),
+S(d491b581,10b6e137,57d20933,b356a977,51d3d03b,327354e9,aa1aee11,c8dfa15,85bcff81,4b5601dd,2eb27e1c,ff7d1489,93a98cea,9ec0553b,d14f108c,beabad07),
+S(eabf656c,8b8e7de,a4a4ad70,d9a17911,d56891ef,7f6c32a,22078713,84f0b3f2,2ff10143,49e265ff,16619e7b,c7528fb9,9b3dbfce,e0c1e6b1,c30ec1be,47cf4e5b),
+S(ed8abca4,ac4d7946,1ab4e3a5,5c05cea3,834381c,c7ec940e,c1b390c8,cce350d0,6b54dc69,86bc76fd,fef49c22,4b536795,2961b8f6,5ac6f552,73c4052b,dc8285da),
+S(150968f6,3a67fde4,b4b404eb,866fd66b,50b822e,43f4e684,230cd720,e2e8e6d0,93e824ec,28bc5a84,f21b7717,d08ce64f,f5ede647,81538f4,a6f84332,4704c6e0),
+S(83cab683,9ce8d260,7398446b,9c8f63d2,e4e1471a,f183f482,b22dc360,c59403f2,8f570cf4,391133d0,e31c363,84cf5195,f160ceea,b96e44,ba79893c,ddfaaa0d),
+S(b3f062b0,189836e0,e9cc7acd,5c3c7810,bd287bdb,c0d64b4a,27202ea,f3a05b41,730f1110,ad1e7dc7,f6e1b84e,9a332c86,2003ec5c,f9e75835,97c07530,dcf9feb1),
+S(7c226926,b567438e,cacc7662,2fa3f806,2888db46,f3e41649,d2bd5142,1a90f83e,563b94de,fa1719a2,b7f09c8e,5b31476d,8b8ee80e,9dfae6f6,aa0f6a6,45ecc33d),
+S(b9416bdc,9862a2c2,cf1a50ce,132d07d2,8862f6dc,19e36f03,ad3100c9,659fcb99,5ee3e16a,5be0ad7,9c908fc5,f61c7024,678d2c93,47dd1c95,45734edf,e52fc618),
+S(ece2cc3d,10edaa0d,4fe86a0f,b2d682c,aaf4d50,2913d942,8d704590,c2b3147e,5e79ac71,109cdd4d,12ff674e,b512cde,3a8004df,f2746165,e55233b6,2ea6fa07),
+S(1dd18b36,369ddbc6,5a8d84a4,69262341,e6dc55dc,6362e7c3,5be5d5e6,ae72c0d5,4f7679d,e9ef807e,be2c1d39,163b7b17,1cfd22e2,6e4fb466,d8af03b7,1539ec98),
+S(beefd37,fa712452,695bc66b,4fee98af,bd772c13,e63d0ca5,d62a7b0c,a8a2a3bc,caafe844,5be9307a,e872d297,991a9e42,7364ab4c,257168e5,660c5297,8a623aba),
+S(d7f42137,7048d65e,39bb5032,ca991d91,184a98f5,4c35b3a3,73c118cc,d276d3cb,64e78d01,8e179101,41685830,dce8ab9,3285ebd3,ceb9817d,76edf7bc,524716d),
+S(737fee9,6a6e5ae1,98bab025,2554e3f6,12517cf9,2614a503,4ab7b882,d97555bc,ac29b0c1,fb66bdac,a3ca5f19,3ac71997,87573d85,8353b9ac,c30ab147,bdf379bb),
+S(784f4c1d,6a815b8c,6e429596,183e6e17,e846a50a,c65f0c0b,abd1d943,e115a307,ac5124ea,29517daf,782c5698,e5318d0a,fa0a05ca,d7a9d395,bd17c3c7,9c3a9972),
+S(982794d0,a4430900,e6254f33,40924116,ec055a4c,8c0715f6,72af4cdd,e1bfeae0,90b9959c,3ad2170e,9bb70c1c,676ab6d2,584b97c3,855d9ec6,93307407,e57a3c7d),
+S(7532737,c45039c,768b4cfb,71aed614,c8c8f977,70c94bb,1c8d5bd3,cd092d2a,b495750c,b0e5fd38,7f7f08cf,b5d2cf40,5f5c9a07,8184fdaa,5af78135,895be55d),
+S(2900819a,badaa25b,5e79c9d5,7d35a079,4e587f3d,f75ca042,736969e6,a4db24ce,e7489b71,d1e8492d,66a1c6b0,dd23a453,12095649,b902f68,9789eac8,eec97435),
+S(7c615aa5,b7134559,82fccde3,8c90d0ba,2d3a09f4,6bdbab02,4dd7b6a5,cc9fc205,4189a5c,d5830638,53569ebd,77855a63,f70229bc,f9322b2,2546df2e,e687cf50),
+S(13749da6,79887b0a,d7e4f461,ae125385,c5126eb3,63d88327,6f0a4773,ee00193c,c2ee7f13,49def3cc,5d7963d9,2bee09d2,c36128ce,a5a0fbb6,964a0c14,a7644e92),
+S(4ed1478a,b92b688e,aa491c7e,e3134ca9,7cc71cbc,3cb32ed4,a69c5b13,4e73b526,16f25a92,fb8e8042,ce2105de,e9133b82,3be2277e,66dfaa9b,368a2c5b,6b980a28),
+S(f1efd577,6955489b,57759ad6,3c5cd042,383c1cf4,a1ea3719,8b1ad624,8d2649ed,909afd94,20027b64,aaeea435,25c77989,674411c9,14bcfbfb,7edc1055,e0b0ba6),
+S(eec2b3d1,446835e2,ed2b9c32,80f320d5,296fae6a,fee19e4a,e38da171,6d0e35c7,a9f0beef,738d4ff8,f56bcb57,8bb509ba,8ef9e07e,3abe009a,9f0e1a7f,9d1609e7),
+S(1d45c89f,fddd05a5,5043c44d,b8d0211a,f49f3aba,31e3ac62,5687413,4ecaa89,ab2abf54,db899f51,6c19848d,f0fb6e8e,9b43de72,3c74c33,9ac74611,7a64592c),
+S(61531e01,5b2f0ca3,e36a20e6,b6d7f2ba,e2a1e245,340afb7,f134c3c8,799374ae,fae6274c,1e646987,2aa0b680,8a7fda0b,f3d495a1,24e859c0,2ac50be2,72dd4596),
+S(a1b129b7,c1803643,6136bc8e,f7b99895,c5551ae4,71b2c0cc,ee48c266,bcdf2808,b9f97676,9623c4b0,bf10a738,6081cb23,f68693cd,626abaa6,b3874be2,5af886c8),
+S(27e38dcd,d63bab65,c77eedfa,7e1f4b46,203ff350,20c86fb0,4ce2ffb8,af8d7056,81f30a56,7340be31,52ce5c6b,877f2c67,a7db7acc,7f24e13b,bf836660,9d61f04e),
+S(64919bfc,50072a00,8769f559,3ad0e5b7,72ed6575,81ecf37c,8c759a3d,51149fc4,5759727c,20ae86e,b38aa3f,5e53b848,8ecd2b,477dca0a,ffb83903,65e70900),
+S(d392e5cf,3c2d4a0a,20779b28,f4957800,ec7148aa,63b2bcb2,348afe9b,d28ad57d,54062719,a0ee0869,b1a99d9a,e4716487,70386747,9ead4774,66df29e1,78c87c6b),
+S(6b9fe223,333b0802,34fb49d4,85218d11,9123c430,94e4ffba,38f33bb2,dbe7d9e2,5ea16bea,b5101109,4d34ec62,e6a63a71,c78de1f1,fcb7ce23,4ba2f51e,e4eb2ef1),
+S(b1a505c,eb85f130,ef6e4a49,e429b0c5,51a87831,f850ed83,6bc8649d,6097ce12,a887e16a,805c0708,45589bff,2b22fc6f,4187cc06,cecef137,9130becb,5d5d149f),
+S(8bd25993,c653b1e3,6f477988,61743aba,a5ffdaf,fd0890c3,caeb2963,736cbb44,341aef51,13b0d08d,90e90ffa,56570d57,5777260f,e85a15c2,2b5b3139,4f0a8c20),
+S(2da121de,147507bd,b8836321,40394006,afc65465,7c6d4399,97cf6c88,ce0c4016,3ec87a24,eb19c502,848ff433,7ac3f48b,9a56ca56,3d0bffe8,eaa98e97,49f04aaa),
+S(147541,9e9e9ff8,5b93f56,2832e74f,6c8c311a,676a759e,7dc62c63,5faa0b07,40fb95e4,810607ce,7ed10d9d,61404078,10ddbc55,261badc0,5e07bd1a,579ca271),
+S(7c48371b,7eb5655f,b9d95bc3,5660d783,b1884573,d2934346,c5a5342b,a0949cb0,8b8cfb2,4cab96fa,1ee1e5d7,7dade5bd,23fa7868,445d9ad4,723529db,38110dae),
+S(6ac2912f,d959d41c,19ff8ac4,bc136e85,91944b79,470d633f,b9fe65f0,f72541f4,63351f35,d4a7787a,31ef0bd6,f28aedd7,864ec5ab,7d841f11,9163e351,e070fcba),
+S(db08e4fd,63e16bf6,abc05d78,be6bccc7,c9b8e15e,334ad697,9205a2e9,c2100e15,eeb0ba62,e1a5ee98,c2e2cc5a,8d9cbf11,d265019c,9eea8f50,4aa1e50,a422d4e),
+S(4160dad,5255da89,12f69754,77b445a7,26fb7b8f,6ae8e2bb,d6276ae7,2a31afb8,ab0817bc,7a9b6907,9f6db9f3,c9a77718,23a1d79d,9f2739b2,cbeca18f,e5b8fbf8),
+S(3794fc72,f432c983,2f9ba8dd,b46b1c64,d979e899,78b3c14f,2f903ec4,75af091e,a898cdf,7cdaf6c0,3715e38a,4bea1081,fda150b3,7faa4a11,ddbdc350,c7e0bb05),
+S(244b87a4,fcecef37,76c16c5c,24c7785,be3b3c13,46595363,b8c066ec,45bfe561,9642f5fd,e0ec25ed,bd2129ca,6c023ec1,a2eadac7,f6ec5b7d,2b7fe894,41e5aa11),
+S(9de52b81,157165cc,aef44485,4c2b3535,a599a79,80d024de,5334b385,ecbb2e91,74fca165,26fe2f87,a41ce510,4dd5634,5cf98c11,803c0392,3eb4b8b7,60240c02)}
+#endif
+};
+#endif /* EXHAUSTIVE_TEST_ORDER */
+#undef SC
+#endif /* SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H */
diff --git a/src/secp256k1/src/ecmult_impl.h b/src/secp256k1/src/ecmult_impl.h
index a9e8b3c76c..5bd4d4d23d 100644
--- a/src/secp256k1/src/ecmult_impl.h
+++ b/src/secp256k1/src/ecmult_impl.h
@@ -1,8 +1,8 @@
-/*****************************************************************************
- * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra, Jonas Nick *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php. *
- *****************************************************************************/
+/******************************************************************************
+ * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php. *
+ ******************************************************************************/
#ifndef SECP256K1_ECMULT_IMPL_H
#define SECP256K1_ECMULT_IMPL_H
@@ -14,6 +14,7 @@
#include "group.h"
#include "scalar.h"
#include "ecmult.h"
+#include "ecmult_static_pre_g.h"
#if defined(EXHAUSTIVE_TEST_ORDER)
/* We need to lower these values for exhaustive tests because
@@ -21,13 +22,10 @@
* affine-isomorphism stuff which tracks z-ratios) */
# if EXHAUSTIVE_TEST_ORDER > 128
# define WINDOW_A 5
-# define WINDOW_G 8
# elif EXHAUSTIVE_TEST_ORDER > 8
# define WINDOW_A 4
-# define WINDOW_G 4
# else
# define WINDOW_A 2
-# define WINDOW_G 2
# endif
#else
/* optimal for 128-bit and 256-bit exponents. */
@@ -41,34 +39,15 @@
* Two tables of this size are used (due to the endomorphism
* optimization).
*/
-# define WINDOW_G ECMULT_WINDOW_SIZE
-#endif
-
-/* Noone will ever need more than a window size of 24. The code might
- * be correct for larger values of ECMULT_WINDOW_SIZE but this is not
- * not tested.
- *
- * The following limitations are known, and there are probably more:
- * If WINDOW_G > 27 and size_t has 32 bits, then the code is incorrect
- * because the size of the memory object that we allocate (in bytes)
- * will not fit in a size_t.
- * If WINDOW_G > 31 and int has 32 bits, then the code is incorrect
- * because certain expressions will overflow.
- */
-#if ECMULT_WINDOW_SIZE < 2 || ECMULT_WINDOW_SIZE > 24
-# error Set ECMULT_WINDOW_SIZE to an integer in range [2..24].
#endif
#define WNAF_BITS 128
#define WNAF_SIZE_BITS(bits, w) (((bits) + (w) - 1) / (w))
#define WNAF_SIZE(w) WNAF_SIZE_BITS(WNAF_BITS, w)
-/** The number of entries a table with precomputed multiples needs to have. */
-#define ECMULT_TABLE_SIZE(w) (1 << ((w)-2))
-
/* The number of objects allocated on the scratch space for ecmult_multi algorithms */
#define PIPPENGER_SCRATCH_OBJECTS 6
-#define STRAUSS_SCRATCH_OBJECTS 6
+#define STRAUSS_SCRATCH_OBJECTS 7
#define PIPPENGER_MAX_BUCKET_WINDOW 12
@@ -119,18 +98,12 @@ static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_gej *prej, sec
/** Fill a table 'pre' with precomputed odd multiples of a.
*
- * There are two versions of this function:
- * - secp256k1_ecmult_odd_multiples_table_globalz_windowa which brings its
- * resulting point set to a single constant Z denominator, stores the X and Y
- * coordinates as ge_storage points in pre, and stores the global Z in rz.
- * It only operates on tables sized for WINDOW_A wnaf multiples.
- * - secp256k1_ecmult_odd_multiples_table_storage_var, which converts its
- * resulting point set to actually affine points, and stores those in pre.
- * It operates on tables of any size.
+ * The resulting point set is brought to a single constant Z denominator, stores the X and Y
+ * coordinates as ge_storage points in pre, and stores the global Z in rz.
+ * It only operates on tables sized for WINDOW_A wnaf multiples.
*
- * To compute a*P + b*G, we compute a table for P using the first function,
- * and for G using the second (which requires an inverse, but it only needs to
- * happen once).
+ * To compute a*P + b*G, we compute a table for P using this function,
+ * and use the precomputed table in <ecmult_static_pre_g.h> for G.
*/
static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) {
secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)];
@@ -142,137 +115,6 @@ static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *p
secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A), pre, globalz, prej, zr);
}
-static void secp256k1_ecmult_odd_multiples_table_storage_var(const int n, secp256k1_ge_storage *pre, const secp256k1_gej *a) {
- secp256k1_gej d;
- secp256k1_ge d_ge, p_ge;
- secp256k1_gej pj;
- secp256k1_fe zi;
- secp256k1_fe zr;
- secp256k1_fe dx_over_dz_squared;
- int i;
-
- VERIFY_CHECK(!a->infinity);
-
- secp256k1_gej_double_var(&d, a, NULL);
-
- /* First, we perform all the additions in an isomorphic curve obtained by multiplying
- * all `z` coordinates by 1/`d.z`. In these coordinates `d` is affine so we can use
- * `secp256k1_gej_add_ge_var` to perform the additions. For each addition, we store
- * the resulting y-coordinate and the z-ratio, since we only have enough memory to
- * store two field elements. These are sufficient to efficiently undo the isomorphism
- * and recompute all the `x`s.
- */
- d_ge.x = d.x;
- d_ge.y = d.y;
- d_ge.infinity = 0;
-
- secp256k1_ge_set_gej_zinv(&p_ge, a, &d.z);
- pj.x = p_ge.x;
- pj.y = p_ge.y;
- pj.z = a->z;
- pj.infinity = 0;
-
- for (i = 0; i < (n - 1); i++) {
- secp256k1_fe_normalize_var(&pj.y);
- secp256k1_fe_to_storage(&pre[i].y, &pj.y);
- secp256k1_gej_add_ge_var(&pj, &pj, &d_ge, &zr);
- secp256k1_fe_normalize_var(&zr);
- secp256k1_fe_to_storage(&pre[i].x, &zr);
- }
-
- /* Invert d.z in the same batch, preserving pj.z so we can extract 1/d.z */
- secp256k1_fe_mul(&zi, &pj.z, &d.z);
- secp256k1_fe_inv_var(&zi, &zi);
-
- /* Directly set `pre[n - 1]` to `pj`, saving the inverted z-coordinate so
- * that we can combine it with the saved z-ratios to compute the other zs
- * without any more inversions. */
- secp256k1_ge_set_gej_zinv(&p_ge, &pj, &zi);
- secp256k1_ge_to_storage(&pre[n - 1], &p_ge);
-
- /* Compute the actual x-coordinate of D, which will be needed below. */
- secp256k1_fe_mul(&d.z, &zi, &pj.z); /* d.z = 1/d.z */
- secp256k1_fe_sqr(&dx_over_dz_squared, &d.z);
- secp256k1_fe_mul(&dx_over_dz_squared, &dx_over_dz_squared, &d.x);
-
- /* Going into the second loop, we have set `pre[n-1]` to its final affine
- * form, but still need to set `pre[i]` for `i` in 0 through `n-2`. We
- * have `zi = (p.z * d.z)^-1`, where
- *
- * `p.z` is the z-coordinate of the point on the isomorphic curve
- * which was ultimately assigned to `pre[n-1]`.
- * `d.z` is the multiplier that must be applied to all z-coordinates
- * to move from our isomorphic curve back to secp256k1; so the
- * product `p.z * d.z` is the z-coordinate of the secp256k1
- * point assigned to `pre[n-1]`.
- *
- * All subsequent inverse-z-coordinates can be obtained by multiplying this
- * factor by successive z-ratios, which is much more efficient than directly
- * computing each one.
- *
- * Importantly, these inverse-zs will be coordinates of points on secp256k1,
- * while our other stored values come from computations on the isomorphic
- * curve. So in the below loop, we will take care not to actually use `zi`
- * or any derived values until we're back on secp256k1.
- */
- i = n - 1;
- while (i > 0) {
- secp256k1_fe zi2, zi3;
- const secp256k1_fe *rzr;
- i--;
-
- secp256k1_ge_from_storage(&p_ge, &pre[i]);
-
- /* For each remaining point, we extract the z-ratio from the stored
- * x-coordinate, compute its z^-1 from that, and compute the full
- * point from that. */
- rzr = &p_ge.x;
- secp256k1_fe_mul(&zi, &zi, rzr);
- secp256k1_fe_sqr(&zi2, &zi);
- secp256k1_fe_mul(&zi3, &zi2, &zi);
- /* To compute the actual x-coordinate, we use the stored z ratio and
- * y-coordinate, which we obtained from `secp256k1_gej_add_ge_var`
- * in the loop above, as well as the inverse of the square of its
- * z-coordinate. We store the latter in the `zi2` variable, which is
- * computed iteratively starting from the overall Z inverse then
- * multiplying by each z-ratio in turn.
- *
- * Denoting the z-ratio as `rzr`, we observe that it is equal to `h`
- * from the inside of the above `gej_add_ge_var` call. This satisfies
- *
- * rzr = d_x * z^2 - x * d_z^2
- *
- * where (`d_x`, `d_z`) are Jacobian coordinates of `D` and `(x, z)`
- * are Jacobian coordinates of our desired point -- except both are on
- * the isomorphic curve that we were using when we called `gej_add_ge_var`.
- * To get back to secp256k1, we must multiply both `z`s by `d_z`, or
- * equivalently divide both `x`s by `d_z^2`. Our equation then becomes
- *
- * rzr = d_x * z^2 / d_z^2 - x
- *
- * (The left-hand-side, being a ratio of z-coordinates, is unaffected
- * by the isomorphism.)
- *
- * Rearranging to solve for `x`, we have
- *
- * x = d_x * z^2 / d_z^2 - rzr
- *
- * But what we actually want is the affine coordinate `X = x/z^2`,
- * which will satisfy
- *
- * X = d_x / d_z^2 - rzr / z^2
- * = dx_over_dz_squared - rzr * zi2
- */
- secp256k1_fe_mul(&p_ge.x, rzr, &zi2);
- secp256k1_fe_negate(&p_ge.x, &p_ge.x, 1);
- secp256k1_fe_add(&p_ge.x, &dx_over_dz_squared);
- /* y is stored_y/z^3, as we expect */
- secp256k1_fe_mul(&p_ge.y, &p_ge.y, &zi3);
- /* Store */
- secp256k1_ge_to_storage(&pre[i], &p_ge);
- }
-}
-
/** The following two macro retrieves a particular odd multiple from a table
* of precomputed multiples. */
#define ECMULT_TABLE_GET_GE(r,pre,n,w) do { \
@@ -299,74 +141,6 @@ static void secp256k1_ecmult_odd_multiples_table_storage_var(const int n, secp25
} \
} while(0)
-static const size_t SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE =
- ROUND_TO_ALIGN(sizeof((*((secp256k1_ecmult_context*) NULL)->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G))
- + ROUND_TO_ALIGN(sizeof((*((secp256k1_ecmult_context*) NULL)->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G))
- ;
-
-static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx) {
- ctx->pre_g = NULL;
- ctx->pre_g_128 = NULL;
-}
-
-static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, void **prealloc) {
- secp256k1_gej gj;
- void* const base = *prealloc;
- size_t const prealloc_size = SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE;
-
- if (ctx->pre_g != NULL) {
- return;
- }
-
- /* get the generator */
- secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g);
-
- {
- size_t size = sizeof((*ctx->pre_g)[0]) * ((size_t)ECMULT_TABLE_SIZE(WINDOW_G));
- /* check for overflow */
- VERIFY_CHECK(size / sizeof((*ctx->pre_g)[0]) == ((size_t)ECMULT_TABLE_SIZE(WINDOW_G)));
- ctx->pre_g = (secp256k1_ge_storage (*)[])manual_alloc(prealloc, sizeof((*ctx->pre_g)[0]) * ECMULT_TABLE_SIZE(WINDOW_G), base, prealloc_size);
- }
-
- /* precompute the tables with odd multiples */
- secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g, &gj);
-
- {
- secp256k1_gej g_128j;
- int i;
-
- size_t size = sizeof((*ctx->pre_g_128)[0]) * ((size_t) ECMULT_TABLE_SIZE(WINDOW_G));
- /* check for overflow */
- VERIFY_CHECK(size / sizeof((*ctx->pre_g_128)[0]) == ((size_t)ECMULT_TABLE_SIZE(WINDOW_G)));
- ctx->pre_g_128 = (secp256k1_ge_storage (*)[])manual_alloc(prealloc, sizeof((*ctx->pre_g_128)[0]) * ECMULT_TABLE_SIZE(WINDOW_G), base, prealloc_size);
-
- /* calculate 2^128*generator */
- g_128j = gj;
- for (i = 0; i < 128; i++) {
- secp256k1_gej_double_var(&g_128j, &g_128j, NULL);
- }
- secp256k1_ecmult_odd_multiples_table_storage_var(ECMULT_TABLE_SIZE(WINDOW_G), *ctx->pre_g_128, &g_128j);
- }
-}
-
-static void secp256k1_ecmult_context_finalize_memcpy(secp256k1_ecmult_context *dst, const secp256k1_ecmult_context *src) {
- if (src->pre_g != NULL) {
- /* We cast to void* first to suppress a -Wcast-align warning. */
- dst->pre_g = (secp256k1_ge_storage (*)[])(void*)((unsigned char*)dst + ((unsigned char*)(src->pre_g) - (unsigned char*)src));
- }
- if (src->pre_g_128 != NULL) {
- dst->pre_g_128 = (secp256k1_ge_storage (*)[])(void*)((unsigned char*)dst + ((unsigned char*)(src->pre_g_128) - (unsigned char*)src));
- }
-}
-
-static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx) {
- return ctx->pre_g != NULL;
-}
-
-static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx) {
- secp256k1_ecmult_context_init(ctx);
-}
-
/** Convert a number to WNAF notation. The number becomes represented by sum(2^i * wnaf[i], i=0..bits),
* with the following guarantees:
* - each wnaf[i] is either 0, or an odd integer between -(1<<(w-1) - 1) and (1<<(w-1) - 1)
@@ -443,10 +217,10 @@ struct secp256k1_strauss_state {
struct secp256k1_strauss_point_state* ps;
};
-static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, const struct secp256k1_strauss_state *state, secp256k1_gej *r, size_t num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) {
+static void secp256k1_ecmult_strauss_wnaf(const struct secp256k1_strauss_state *state, secp256k1_gej *r, size_t num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) {
secp256k1_ge tmpa;
secp256k1_fe Z;
- /* Splitted G factors. */
+ /* Split G factors. */
secp256k1_scalar ng_1, ng_128;
int wnaf_ng_1[129];
int bits_ng_1 = 0;
@@ -544,11 +318,11 @@ static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, c
}
}
if (i < bits_ng_1 && (n = wnaf_ng_1[i])) {
- ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g, n, WINDOW_G);
+ ECMULT_TABLE_GET_GE_STORAGE(&tmpa, secp256k1_pre_g, n, WINDOW_G);
secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z);
}
if (i < bits_ng_128 && (n = wnaf_ng_128[i])) {
- ECMULT_TABLE_GET_GE_STORAGE(&tmpa, *ctx->pre_g_128, n, WINDOW_G);
+ ECMULT_TABLE_GET_GE_STORAGE(&tmpa, secp256k1_pre_g_128, n, WINDOW_G);
secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z);
}
}
@@ -558,7 +332,7 @@ static void secp256k1_ecmult_strauss_wnaf(const secp256k1_ecmult_context *ctx, c
}
}
-static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) {
+static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) {
secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)];
secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)];
secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)];
@@ -571,7 +345,7 @@ static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej
state.pre_a = pre_a;
state.pre_a_lam = pre_a_lam;
state.ps = ps;
- secp256k1_ecmult_strauss_wnaf(ctx, &state, r, 1, a, na, ng);
+ secp256k1_ecmult_strauss_wnaf(&state, r, 1, a, na, ng);
}
static size_t secp256k1_strauss_scratch_size(size_t n_points) {
@@ -579,7 +353,7 @@ static size_t secp256k1_strauss_scratch_size(size_t n_points) {
return n_points*point_size;
}
-static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) {
+static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) {
secp256k1_gej* points;
secp256k1_scalar* scalars;
struct secp256k1_strauss_state state;
@@ -591,15 +365,18 @@ static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callba
return 1;
}
+ /* We allocate STRAUSS_SCRATCH_OBJECTS objects on the scratch space. If these
+ * allocations change, make sure to update the STRAUSS_SCRATCH_OBJECTS
+ * constant and strauss_scratch_size accordingly. */
points = (secp256k1_gej*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(secp256k1_gej));
scalars = (secp256k1_scalar*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(secp256k1_scalar));
state.prej = (secp256k1_gej*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_gej));
state.zr = (secp256k1_fe*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_fe));
- state.pre_a = (secp256k1_ge*)secp256k1_scratch_alloc(error_callback, scratch, n_points * 2 * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge));
- state.pre_a_lam = state.pre_a + n_points * ECMULT_TABLE_SIZE(WINDOW_A);
+ state.pre_a = (secp256k1_ge*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge));
+ state.pre_a_lam = (secp256k1_ge*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge));
state.ps = (struct secp256k1_strauss_point_state*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(struct secp256k1_strauss_point_state));
- if (points == NULL || scalars == NULL || state.prej == NULL || state.zr == NULL || state.pre_a == NULL) {
+ if (points == NULL || scalars == NULL || state.prej == NULL || state.zr == NULL || state.pre_a == NULL || state.pre_a_lam == NULL || state.ps == NULL) {
secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint);
return 0;
}
@@ -612,14 +389,14 @@ static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callba
}
secp256k1_gej_set_ge(&points[i], &point);
}
- secp256k1_ecmult_strauss_wnaf(ctx, &state, r, n_points, points, scalars, inp_g_sc);
+ secp256k1_ecmult_strauss_wnaf(&state, r, n_points, points, scalars, inp_g_sc);
secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint);
return 1;
}
/* Wrapper for secp256k1_ecmult_multi_func interface */
-static int secp256k1_ecmult_strauss_batch_single(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *actx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
- return secp256k1_ecmult_strauss_batch(error_callback, actx, scratch, r, inp_g_sc, cb, cbdata, n, 0);
+static int secp256k1_ecmult_strauss_batch_single(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
+ return secp256k1_ecmult_strauss_batch(error_callback, scratch, r, inp_g_sc, cb, cbdata, n, 0);
}
static size_t secp256k1_strauss_max_points(const secp256k1_callback* error_callback, secp256k1_scratch *scratch) {
@@ -866,7 +643,7 @@ static size_t secp256k1_pippenger_scratch_size(size_t n_points, int bucket_windo
return (sizeof(secp256k1_gej) << bucket_window) + sizeof(struct secp256k1_pippenger_state) + entries * entry_size;
}
-static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) {
+static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) {
const size_t scratch_checkpoint = secp256k1_scratch_checkpoint(error_callback, scratch);
/* Use 2(n+1) with the endomorphism, when calculating batch
* sizes. The reason for +1 is that we add the G scalar to the list of
@@ -881,13 +658,16 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call
int i, j;
int bucket_window;
- (void)ctx;
secp256k1_gej_set_infinity(r);
if (inp_g_sc == NULL && n_points == 0) {
return 1;
}
-
bucket_window = secp256k1_pippenger_bucket_window(n_points);
+
+ /* We allocate PIPPENGER_SCRATCH_OBJECTS objects on the scratch space. If
+ * these allocations change, make sure to update the
+ * PIPPENGER_SCRATCH_OBJECTS constant and pippenger_scratch_size
+ * accordingly. */
points = (secp256k1_ge *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*points));
scalars = (secp256k1_scalar *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*scalars));
state_space = (struct secp256k1_pippenger_state *) secp256k1_scratch_alloc(error_callback, scratch, sizeof(*state_space));
@@ -895,7 +675,6 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call
secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint);
return 0;
}
-
state_space->ps = (struct secp256k1_pippenger_point_state *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*state_space->ps));
state_space->wnaf_na = (int *) secp256k1_scratch_alloc(error_callback, scratch, entries*(WNAF_SIZE(bucket_window+1)) * sizeof(int));
buckets = (secp256k1_gej *) secp256k1_scratch_alloc(error_callback, scratch, (1<<bucket_window) * sizeof(*buckets));
@@ -941,8 +720,8 @@ static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_call
}
/* Wrapper for secp256k1_ecmult_multi_func interface */
-static int secp256k1_ecmult_pippenger_batch_single(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *actx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
- return secp256k1_ecmult_pippenger_batch(error_callback, actx, scratch, r, inp_g_sc, cb, cbdata, n, 0);
+static int secp256k1_ecmult_pippenger_batch_single(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
+ return secp256k1_ecmult_pippenger_batch(error_callback, scratch, r, inp_g_sc, cb, cbdata, n, 0);
}
/**
@@ -986,7 +765,7 @@ static size_t secp256k1_pippenger_max_points(const secp256k1_callback* error_cal
/* Computes ecmult_multi by simply multiplying and adding each point. Does not
* require a scratch space */
-static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points) {
+static int secp256k1_ecmult_multi_simple_var(secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points) {
size_t point_idx;
secp256k1_scalar szero;
secp256k1_gej tmpj;
@@ -995,7 +774,7 @@ static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx
secp256k1_gej_set_infinity(r);
secp256k1_gej_set_infinity(&tmpj);
/* r = inp_g_sc*G */
- secp256k1_ecmult(ctx, r, &tmpj, &szero, inp_g_sc);
+ secp256k1_ecmult(r, &tmpj, &szero, inp_g_sc);
for (point_idx = 0; point_idx < n_points; point_idx++) {
secp256k1_ge point;
secp256k1_gej pointj;
@@ -1005,7 +784,7 @@ static int secp256k1_ecmult_multi_simple_var(const secp256k1_ecmult_context *ctx
}
/* r += scalar*point */
secp256k1_gej_set_ge(&pointj, &point);
- secp256k1_ecmult(ctx, &tmpj, &pointj, &scalar, NULL);
+ secp256k1_ecmult(&tmpj, &pointj, &scalar, NULL);
secp256k1_gej_add_var(r, r, &tmpj, NULL);
}
return 1;
@@ -1031,11 +810,11 @@ static int secp256k1_ecmult_multi_batch_size_helper(size_t *n_batches, size_t *n
return 1;
}
-typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_callback* error_callback, const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t);
-static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
+typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t);
+static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) {
size_t i;
- int (*f)(const secp256k1_callback* error_callback, const secp256k1_ecmult_context*, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t);
+ int (*f)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t);
size_t n_batches;
size_t n_batch_points;
@@ -1045,11 +824,11 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback,
} else if (n == 0) {
secp256k1_scalar szero;
secp256k1_scalar_set_int(&szero, 0);
- secp256k1_ecmult(ctx, r, r, &szero, inp_g_sc);
+ secp256k1_ecmult(r, r, &szero, inp_g_sc);
return 1;
}
if (scratch == NULL) {
- return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n);
+ return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n);
}
/* Compute the batch sizes for Pippenger's algorithm given a scratch space. If it's greater than
@@ -1057,13 +836,13 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback,
* As a first step check if there's enough space for Pippenger's algo (which requires less space
* than Strauss' algo) and if not, use the simple algorithm. */
if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_pippenger_max_points(error_callback, scratch), n)) {
- return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n);
+ return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n);
}
if (n_batch_points >= ECMULT_PIPPENGER_THRESHOLD) {
f = secp256k1_ecmult_pippenger_batch;
} else {
if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_strauss_max_points(error_callback, scratch), n)) {
- return secp256k1_ecmult_multi_simple_var(ctx, r, inp_g_sc, cb, cbdata, n);
+ return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n);
}
f = secp256k1_ecmult_strauss_batch;
}
@@ -1071,7 +850,7 @@ static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback,
size_t nbp = n < n_batch_points ? n : n_batch_points;
size_t offset = n_batch_points*i;
secp256k1_gej tmp;
- if (!f(error_callback, ctx, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) {
+ if (!f(error_callback, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) {
return 0;
}
secp256k1_gej_add_var(r, r, &tmp, NULL);
diff --git a/src/secp256k1/src/ecmult_static_pre_g.h b/src/secp256k1/src/ecmult_static_pre_g.h
new file mode 100644
index 0000000000..9072fb2688
--- /dev/null
+++ b/src/secp256k1/src/ecmult_static_pre_g.h
@@ -0,0 +1,16611 @@
+/* This file was automatically generated by gen_ecmult_static_pre_g. */
+/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and
+ * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G.
+ */
+#ifndef SECP256K1_ECMULT_STATIC_PRE_G_H
+#define SECP256K1_ECMULT_STATIC_PRE_G_H
+#include "group.h"
+#ifdef S
+ #error macro identifier S already in use.
+#endif
+#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)
+#if ECMULT_TABLE_SIZE(ECMULT_WINDOW_SIZE) > 8192
+ #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting ecmult_static_pre_g.h before the build.
+#endif
+#if defined(EXHAUSTIVE_TEST_ORDER)
+#if EXHAUSTIVE_TEST_ORDER == 13
+#define WINDOW_G 4
+static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(c3459c3d,35326167,cd86cce8,7a2417f,5b8bd567,de8538ee,d507b0c,d128f5bb,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24)
+,S(ae64a1bd,38872f22,f637b457,125cc859,e4c7a31b,cf553cf5,b96e7096,cc61cc10,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24)
+,S(851695d4,9a83f8ef,919bb861,53cbcb16,630fb68a,ed0a766a,3ec693d6,8e6afa40,3c915051,a5fb60b4,fec49de6,e4385101,59f30035,b6502bc0,f5edba86,9753a96c)
+,S(0,0,0,0,0,0,0,1,c36eafae,5a049f4b,13b6219,1bc7aefe,a60cffca,49afd43f,a124578,68ac52c3)
+};
+static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(8e55c205,92466f75,3c417ec0,e600f626,bfac877c,52258a1c,3941145a,62753693,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24)
+,S(c3459c3d,35326167,cd86cce8,7a2417f,5b8bd567,de8538ee,d507b0c,d128f5bb,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24)
+,S(0,0,0,0,0,0,0,1,3c915051,a5fb60b4,fec49de6,e4385101,59f30035,b6502bc0,f5edba86,9753a96c)
+,S(7ae96a2b,657c0710,6e64479e,ac3434e9,9cf04975,12f58995,c1396c28,719501ee,c36eafae,5a049f4b,13b6219,1bc7aefe,a60cffca,49afd43f,a124578,68ac52c3)
+};
+#elif EXHAUSTIVE_TEST_ORDER == 199
+#define WINDOW_G 8
+static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(226e653f,c8df7744,9bacbf12,7d1dcbf9,87f05b2a,e7edbd28,1f564575,c48dcf18,a13872c2,e933bb17,5d9ffd5b,b5b6e10c,57fe3c00,baaaa15a,e003ec3e,9c269bae)
+,S(ff1755e,623c8369,f55edda4,2a5deef0,b32c57f4,80c5884f,d2a2dde1,b1c078c4,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242)
+,S(64dd1439,5d19a544,a7a1e81b,b9d079b3,593e7022,6bcd444e,6dc8197a,1a6dc3e6,2c7f2dce,e421d852,d3bff68e,993c8bb4,c189d3be,bd4fa667,6a599f9f,8c639c50)
+,S(199d1eb1,5a28f0aa,7258651b,ff07ff13,1c988fa,dc41dc67,390c3172,54b98016,d670e3f1,6fc2382,46bf323f,127e7c14,576e3a64,5d5c41da,40f22b29,4fca876c)
+,S(3d303d12,f8eb67d0,ecaee514,bdd90e57,b58b6d6a,c896a26f,78c06103,52225b04,d282f481,b04bece2,60de6995,b58c4f0d,9c6121e0,d94f45da,f5da7f13,cfefef99)
+,S(76bb4d25,c7a005dc,49a5295f,bb92bf1e,5d0dd5f6,609c2008,54f37361,23a6f9f3,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3)
+,S(8735fb32,6950ae71,31cd03f7,cc1511d8,65c87e84,748c9824,8ccc576e,5480ed8,39cfeb15,665f371f,535d56c1,317a8d62,29ea2827,943a98f1,cee7f685,86e47eec)
+,S(8521a020,a8e7cc5e,d9534d74,d4656581,33869bc,1940548d,6cc35ba4,e3c4323a,c63014ea,99a0c8e0,aca2a93e,ce85729d,d615d7d8,6bc5670e,31180979,791b7d43)
+,S(2f63a396,4d14ca73,2167e033,306863d8,f75605c7,4ea6c917,890dd50d,fc20f53b,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3)
+,S(c479fee8,e2202b42,1c9346fb,4e59f720,95a70dea,2ade9641,58bad01c,2c37f,6897db9d,5a3d8948,ea97069e,de75661,b1ad74e4,2b1daa4f,533d88ba,67137731)
+,S(4d756b2,e61d9806,e02ec830,f1fd44f8,46438689,c528346,15a1addf,ac864bcd,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a)
+,S(baeab1a8,bca6e88,740deeb5,93887afe,295155ba,fa50f307,baf2de95,2841dca6,a88e0162,de086e20,587faa5c,bca8f572,318c17e9,5668819c,13c4d5d9,2d1c75dc)
+,S(47bbafcd,f612ca3e,703f7721,623bde14,926fc00d,a6bf9e9,41ddb2d5,587626e3,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0)
+,S(f9d5cda0,a41aea0e,f0afc533,e1b50808,3acc6043,e04e55bb,77421ab,1cebb8ec,f8a4cc8e,538e1b7f,627c6713,7c896eb1,c5548159,f434695a,ea394c63,592d41cf)
+,S(26e2e75b,aeb04a72,8b893f67,d27ebfc6,b8984a88,6fbd8eee,5719107d,5a413f0f,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8)
+,S(318ef624,4d411c97,913a7bb3,8f07b960,e6c57afa,f1edc5bf,e708da8a,954f68ac,37d97203,d25d9c14,53827e27,9474afb2,92943df0,8ba1108a,43644c86,ee6c87e4)
+,S(eac612b0,84cb452a,35d49c60,c0d0c0bd,359eb909,68a80186,92a028f,ece4c331,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e)
+,S(9f5ed380,fa5188a1,cb1c84df,cb7e2aad,939cdfde,581d765b,95c1c25,43016afb,423923ad,75aa7eb1,259434a7,1d58c469,f6268a38,5cd8fb7c,4be64d63,fad9bcea)
+,S(ee534645,42ff07e2,8cf783ee,1da96e00,b81f531,9b9a4885,27f92302,acd12cac,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a)
+,S(1130e02f,29480660,b2cb4f68,81da3f2c,1bdaf64,8df3b6ce,1a333738,29e4165e,ef2b477b,a9c921df,5ff65b6e,7c6f96a8,627743ff,a53e3858,cd9d7673,f7435ac4)
+,S(e8d3f45a,b5be455f,dc3c2270,34100ca2,b8d203e1,35a9ed3d,5c8b703c,ef4d9b48,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96)
+,S(eb5c4120,4917d176,6fea883b,e680dfd9,233d9654,97fac48b,76f5d0d4,7f6dbf73,97682462,a5c276b7,1568f961,f218a99e,4e528b1b,d4e255b0,acc27744,98ec84fe)
+,S(4097892c,5478baea,62e8da20,6d17fcd8,b8eed45f,24fb7648,fe742508,8da60a4e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b)
+,S(9963e528,754cbba8,29622664,1aec11b0,3fba2739,40f61cbd,5d4c0478,5429f40,d670e3f1,6fc2382,46bf323f,127e7c14,576e3a64,5d5c41da,40f22b29,4fca876c)
+,S(853cffd4,4cb0a29e,390ad886,455566cc,2776ab74,55210e57,9bf1fcc0,c8d767ed,621fdd8d,dd929f3f,681a6f83,bf8061f8,2b4396a6,5df86be6,ec656a86,b1b730b0)
+,S(7fe309bb,e3e8edd3,3f5f94b,4247256e,41e62e69,fd9f2063,d878c6d6,3d85675f,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e)
+,S(851695d4,9a83f8ef,919bb861,53cbcb16,630fb68a,ed0a766a,3ec693d6,8e6afa40,cb47a6a4,91313828,f036dbd7,64173a40,473d3969,5cc47758,511d0a81,badb02f1)
+,S(f31a7dfe,4d2e4a98,aaf3dd70,25441c7a,2da056b0,db6795e8,3a39d76f,b316bd92,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4)
+,S(2266b5e,d5cef55,81e36315,c5fc5c53,a1c73b12,c24c8de7,9afef2a0,7a50212c,7a60fc27,e4ab0ba6,ea71c036,52b83c5c,5ab5dac8,ea43dec2,84719f8c,6d7c3c81)
+,S(e0089ec9,4b25ac6,ff44b5da,2dfedb37,9fdaedf1,6bc8cecd,b1a95fa0,32431c73,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4)
+,S(896c7bc,5cfeaecc,37b111ea,2deee270,c7cb24eb,6eb1cb80,a84e87d3,89d997c1,66446d0d,b01a679b,59afb34a,2bbf8cfe,f0a44870,f0e074ce,78a51a36,9bbbf33c)
+,S(709c8403,ed2fd0f9,5fac44f0,dfa96ec2,e7b357e4,4ebb3dcf,6f688f20,39d3d67d,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0)
+,S(142f854d,ba0b87a2,9826f018,86ab51ff,b9f19214,c23c07c0,f008a375,a1effdb6,74bafd32,bdf2bdfd,c65a52c3,5ef4f4d,9332f7b2,a0512a9f,f821f858,484bb9c)
+,S(66abbf18,f58dd1c9,4b6072c,eb182abe,c31d3af9,6d91060b,d233f462,5716f289,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf)
+,S(7a1b727f,c05c6de2,79b2e027,108fae3e,87ca9249,eb44207f,286e1cbe,4728027,9de02272,226d60c0,97e5907c,407f9e07,d4bc6959,a2079419,139a9578,4e48cb7f)
+,S(3d98fe85,5d42f661,e35d8ce3,cfee5f17,57bc3de9,ecec02fa,11a2d90,378ac0e8,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45)
+,S(34f8450b,18bffd3f,cbadcd08,5da5411b,ba2ef195,55753768,bf777307,3a2d4cb4,5771fe9d,21f791df,a78055a3,43570a8d,ce73e816,a9977e63,ec3b2a25,d2e38653)
+,S(76dac07e,bc240289,791e6a9a,56abdc7,bdf2fac1,e7a0100b,5a0ee09e,3455cc33,8b4502cd,420d4202,39a5ad3c,fa10b0b2,6ccd084d,5faed560,7de07a6,fb7b4093)
+,S(929effed,d3b91ccb,a985ab23,bef45c16,6d5ffaa3,22562529,b84d051c,f94044a1,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242)
+,S(1ea4ff3b,5a0a78a9,fda9d73a,ea5f0629,886b083a,6d3beea4,d6bc96e1,b50da944,9edf1300,7f2b7fb2,92301e8c,77ddb63e,5f2d23c4,315118c1,8b1b6273,86bba11a)
+,S(86fef7a7,b4d3b079,2c83a223,d1c929d6,6ca15202,f4b956a1,cf7ed2cb,83dba7c4,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8)
+,S(c979de1c,1318f60f,a9929ff3,a6621b9,d15226e8,2883556e,36a5f77b,28e3b585,d7bd974a,b40a1bd3,a35a1ee9,16d32768,48e7bcfc,be70851d,8ba758b9,996d2099)
+,S(2cdce338,ae1f5aa0,55c76cb5,acbd084e,3284bb5d,b8cf9b4a,141cc8ee,1aa61e59,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4)
+,S(80c5672b,3f773975,b5829101,6fa9de9b,33863263,8a978db,934f04c1,3a909b85,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677)
+,S(521e20fc,9c7c0514,47f31e74,5bb81662,dac66374,9b891a6f,d9681cb6,21e3155c,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8)
+,S(b084fee5,5da62ee0,ebdebf3b,245e0d4e,def46aac,bfdc9f43,261d3e2b,eed946a0,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa)
+,S(d8a3fd95,b7ed8e8a,674da307,94911393,303917c2,60944d1f,76261274,fba45757,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081)
+,S(c2d4b350,75ee5eb,3e2c8d3c,f33649dc,dd4f4c29,728bbdae,3f3ff02d,f3dc7415,6120ecff,80d4804d,6dcfe173,882249c1,a0d2dc3b,ceaee73e,74e49d8b,79445b15)
+,S(9fa3c7bd,6b8544f2,df48309,596ea267,8f8537e1,dc406ec7,cf2c67d1,ae5f1e8a,c8268dfc,2da263eb,ac7d81d8,6b8b504d,6d6bc20f,745eef75,bc9bb378,1193744b)
+,S(0,0,0,0,0,0,0,1,34b8595b,6ecec7d7,fc92428,9be8c5bf,b8c2c696,a33b88a7,aee2f57d,4524f93e)
+,S(969360d2,54e2dba9,e79d0789,c339250d,c438330a,a66addf9,f27e2ee8,fc9036ac,99bb92f2,4fe59864,a6504cb5,d4407301,f5bb78f,f1f8b31,875ae5c8,644408f3)
+,S(318f2c1f,3dc109ad,ed9d8958,e2e6eb8c,e26eec32,f2725ad1,68e116c7,497e7044,75b3371,ac71e480,9d8398ec,8376914e,3aab7ea6,bcb96a5,15c6b39b,a6d2ba60)
+,S(bcea96e9,4ff1b11e,6e8a09d6,ec594b00,597e2b0a,37b0e581,50a58d59,33220419,7f0c4863,45a07ba8,c0d55b8c,fe2ef3e0,649abc1e,47313a1f,1763291f,79733985)
+,S(4ed9d2a,7f32fa30,fd059de5,ee512073,47d68d12,b77df5b8,6a83a814,3fcdd5c0,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081)
+,S(875c93a1,8ac5a86e,9e85e4aa,3c5ad0ac,3d697192,6384b05b,568604b3,8fee8fb6,3738dc95,97add4e5,c0a39af1,b98ccba2,7bb43333,e35ab481,54c52779,9191144b)
+,S(47a7cc2e,1cbd64c8,301443ed,be1ab328,85dce80e,a6d8c847,4eb9be09,6db5fecf,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0)
+,S(3e8a6608,17f28243,f363d67e,b874856f,1fc9810a,9da6c3f3,a72dd23f,ec45513e,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b)
+,S(9556e393,974bcd02,c6356a53,fce819d4,887b188c,99b8de16,1e5d3697,d595cdce,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e)
+,S(5245e215,52c6f785,2cccef32,e9f54774,cfb6bb9b,c363ae72,71174df4,6d77fdcc,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b)
+,S(5d6f8ab3,ca0a5fca,611b7738,16adb4f8,df73ad68,5ce45286,75101d00,54ff3eca,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242)
+,S(a4465b18,b7f702e2,a8165184,834ce490,68fb0a51,6658734b,6229eda0,605911a2,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4)
+,S(d49b0640,1e240c43,21b2b173,3b640c6a,e2c4b389,2d3f4f73,8faac78b,9995cf2e,75b3371,ac71e480,9d8398ec,8376914e,3aab7ea6,bcb96a5,15c6b39b,a6d2ba60)
+,S(599db82f,8229ad47,7a662726,d2d351a6,f76cefd7,8fc376b1,ef6e344e,4e4dae3a,284268b5,4bf5e42c,5ca5e116,e92cd897,b7184303,418f7ae2,7458a745,6692db96)
+,S(a0627644,ebc6a423,1f3e113b,eedbf9d8,21d9374a,af2e7c55,14ee7395,aa9992b7,859f03d8,1b54f459,158e3fc9,ad47c3a3,a54a2537,15bc213d,7b8e6072,9283bfae)
+};
+static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(ec823227,1d0e875a,8e1cf7e6,f9a35a15,749be650,1cc885c4,f383060b,46bd3d33,aa140b83,97ca0dcd,a15dcd4c,7509bb87,9a34231e,d0d3a586,543bba01,ae7545b8)
+,S(66abbf18,f58dd1c9,4b6072c,eb182abe,c31d3af9,6d91060b,d233f462,5716f289,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf)
+,S(4d756b2,e61d9806,e02ec830,f1fd44f8,46438689,c528346,15a1addf,ac864bcd,36f8fb36,708d2741,9c75c923,178976f6,5386de3,23ab2ceb,f76044c0,9256faa5)
+,S(875c93a1,8ac5a86e,9e85e4aa,3c5ad0ac,3d697192,6384b05b,568604b3,8fee8fb6,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4)
+,S(f3a864ac,edc7852f,f4dfae93,5f8588a6,96ff17bf,7233134e,6704ceb,16f3b74c,39cfeb15,665f371f,535d56c1,317a8d62,29ea2827,943a98f1,cee7f685,86e47eec)
+,S(3e8a6608,17f28243,f363d67e,b874856f,1fc9810a,9da6c3f3,a72dd23f,ec45513e,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b)
+,S(47bbafcd,f612ca3e,703f7721,623bde14,926fc00d,a6bf9e9,41ddb2d5,587626e3,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0)
+,S(709c8403,ed2fd0f9,5fac44f0,dfa96ec2,e7b357e4,4ebb3dcf,6f688f20,39d3d67d,2e9f47cb,a7f8ace5,cd858d96,c9d82549,688f5ed,eb14e7d2,58c52e9,be4a7c3f)
+,S(66fd0ada,7159c2df,fdd925e7,2eb70772,743e39e3,4c10d5cf,f58eac4e,a30e4157,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b)
+,S(60d5d771,4e1e7589,e0b1e68c,ed7f881,73fca809,eae35685,65334942,79962dc2,99bb92f2,4fe59864,a6504cb5,d4407301,f5bb78f,f1f8b31,875ae5c8,644408f3)
+,S(3d98fe85,5d42f661,e35d8ce3,cfee5f17,57bc3de9,ecec02fa,11a2d90,378ac0e8,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45)
+,S(2f63a396,4d14ca73,2167e033,306863d8,f75605c7,4ea6c917,890dd50d,fc20f53b,1dd6a38e,deb870ad,f2b2e755,8d327d51,e66a2c81,910d1fa5,b215911c,9c8e004c)
+,S(bcea96e9,4ff1b11e,6e8a09d6,ec594b00,597e2b0a,37b0e581,50a58d59,33220419,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa)
+,S(ae3796a4,823f3eb4,ea4bd677,110dc3fb,45537c3c,4d10d2e8,e758a3be,4875db83,ef2b477b,a9c921df,5ff65b6e,7c6f96a8,627743ff,a53e3858,cd9d7673,f7435ac4)
+,S(5245e215,52c6f785,2cccef32,e9f54774,cfb6bb9b,c363ae72,71174df4,6d77fdcc,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b)
+,S(26e2e75b,aeb04a72,8b893f67,d27ebfc6,b8984a88,6fbd8eee,5719107d,5a413f0f,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8)
+,S(e0089ec9,4b25ac6,ff44b5da,2dfedb37,9fdaedf1,6bc8cecd,b1a95fa0,32431c73,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b)
+,S(f8f16642,266d8dc6,abfdbbc6,f6c47711,a192c051,7f00a633,b78076a7,a7884e72,4f6d0e5,148ce7e1,772f84c,b08903b8,71d2beb5,d0934488,8ab1c75d,42232790)
+,S(23082df9,a86b80fc,5185ee3c,6493763b,14a6e237,baf686aa,f589b649,8573d04c,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45)
+,S(76dac07e,bc240289,791e6a9a,56abdc7,bdf2fac1,e7a0100b,5a0ee09e,3455cc33,8b4502cd,420d4202,39a5ad3c,fa10b0b2,6ccd084d,5faed560,7de07a6,fb7b4093)
+,S(8735fb32,6950ae71,31cd03f7,cc1511d8,65c87e84,748c9824,8ccc576e,5480ed8,c63014ea,99a0c8e0,aca2a93e,ce85729d,d615d7d8,6bc5670e,31180979,791b7d43)
+,S(969360d2,54e2dba9,e79d0789,c339250d,c438330a,a66addf9,f27e2ee8,fc9036ac,66446d0d,b01a679b,59afb34a,2bbf8cfe,f0a44870,f0e074ce,78a51a36,9bbbf33c)
+,S(74f5ba33,89d075d3,eebaa54d,73e9f038,881b7329,5623e833,b5e87beb,29ba3246,74bafd32,bdf2bdfd,c65a52c3,5ef4f4d,9332f7b2,a0512a9f,f821f858,484bb9c)
+,S(a4465b18,b7f702e2,a8165184,834ce490,68fb0a51,6658734b,6229eda0,605911a2,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4)
+,S(eac612b0,84cb452a,35d49c60,c0d0c0bd,359eb909,68a80186,92a028f,ece4c331,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e)
+,S(f31a7dfe,4d2e4a98,aaf3dd70,25441c7a,2da056b0,db6795e8,3a39d76f,b316bd92,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b)
+,S(470ce05d,53f77ff0,c5ab8770,a4c11a3e,23f7d4fe,f5c0ab36,1b940a8a,6b8cf7b9,57d6adb1,5f0b1daa,1fce91d7,ccf75d45,9480b056,6f81ff8a,85612173,1cd8f2b8)
+,S(d9fbce92,515652cf,3714f87b,e16e505,91a28eb4,1bf7053,2ab42ebd,be900212,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96)
+,S(1ea4ff3b,5a0a78a9,fda9d73a,ea5f0629,886b083a,6d3beea4,d6bc96e1,b50da944,9edf1300,7f2b7fb2,92301e8c,77ddb63e,5f2d23c4,315118c1,8b1b6273,86bba11a)
+,S(3d303d12,f8eb67d0,ecaee514,bdd90e57,b58b6d6a,c896a26f,78c06103,52225b04,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96)
+,S(9fa3c7bd,6b8544f2,df48309,596ea267,8f8537e1,dc406ec7,cf2c67d1,ae5f1e8a,37d97203,d25d9c14,53827e27,9474afb2,92943df0,8ba1108a,43644c86,ee6c87e4)
+,S(92906a31,52682000,a59736ed,ef48a7b0,c78d6a49,8727b3b,893d3478,de04ada5,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa)
+,S(599db82f,8229ad47,7a662726,d2d351a6,f76cefd7,8fc376b1,ef6e344e,4e4dae3a,284268b5,4bf5e42c,5ca5e116,e92cd897,b7184303,418f7ae2,7458a745,6692db96)
+,S(ee534645,42ff07e2,8cf783ee,1da96e00,b81f531,9b9a4885,27f92302,acd12cac,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a)
+,S(7fe309bb,e3e8edd3,3f5f94b,4247256e,41e62e69,fd9f2063,d878c6d6,3d85675f,dca8a8d8,625c2ed4,3fffb2ed,1f956325,7bfa36e1,47ee7d9f,d86c19cf,e93d5991)
+,S(64eaaad1,9c7e9d01,5cc997ff,c2f23022,c59805d,48a48e1,970b8847,10211659,fb092f1a,eb73181e,f88d07b3,4f76fc47,8e2d414a,2f6cbb77,754e38a1,bddcd49f)
+,S(59e10f43,eb4b2fb0,94f2f66d,1404dd08,ab9c2442,50bd16e0,21feb78f,e0380d01,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3)
+,S(c979de1c,1318f60f,a9929ff3,a6621b9,d15226e8,2883556e,36a5f77b,28e3b585,d7bd974a,b40a1bd3,a35a1ee9,16d32768,48e7bcfc,be70851d,8ba758b9,996d2099)
+,S(64dd1439,5d19a544,a7a1e81b,b9d079b3,593e7022,6bcd444e,6dc8197a,1a6dc3e6,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf)
+,S(d8a3fd95,b7ed8e8a,674da307,94911393,303917c2,60944d1f,76261274,fba45757,a13872c2,e933bb17,5d9ffd5b,b5b6e10c,57fe3c00,baaaa15a,e003ec3e,9c269bae)
+,S(acee4285,57fc32a1,d3d14199,30cadaf0,613a630a,7a7e8c14,d08d05df,19143c3a,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b)
+,S(5d771e5d,6dc6c87,5ede8bae,4b27a9d4,3c5f8da2,8e84f5c3,501299c8,db16484c,859f03d8,1b54f459,158e3fc9,ad47c3a3,a54a2537,15bc213d,7b8e6072,9283bfae)
+,S(e8d3f45a,b5be455f,dc3c2270,34100ca2,b8d203e1,35a9ed3d,5c8b703c,ef4d9b48,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96)
+,S(9963e528,754cbba8,29622664,1aec11b0,3fba2739,40f61cbd,5d4c0478,5429f40,298f1c0e,f903dc7d,b940cdc0,ed8183eb,a891c59b,a2a3be25,bf0dd4d5,b03574c3)
+,S(cbdb65,553cd5d8,ff61cf33,e53fdd9a,cf0ee159,c21dc578,be5bac2b,7973c229,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b)
+,S(5029bff6,d4c80347,738230c8,cb252906,471b5bc1,3d26a533,304f5f0d,808f756c,97682462,a5c276b7,1568f961,f218a99e,4e528b1b,d4e255b0,acc27744,98ec84fe)
+,S(80c5672b,3f773975,b5829101,6fa9de9b,33863263,8a978db,934f04c1,3a909b85,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677)
+,S(226e653f,c8df7744,9bacbf12,7d1dcbf9,87f05b2a,e7edbd28,1f564575,c48dcf18,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081)
+,S(521e20fc,9c7c0514,47f31e74,5bb81662,dac66374,9b891a6f,d9681cb6,21e3155c,9e4aecf7,5379bc0f,83e71258,1065be69,f5599dde,e47f6533,d4d34ac6,dcfeed37)
+,S(5472b5d0,4ba1ca80,236183b1,46e596e5,4b20b83b,248988c8,bbe8460e,3666f262,a829524e,a0f4e255,e0316e28,3308a2ba,6b7f4fa9,907e0075,7a9ede8b,e3270977)
+,S(2ecd421e,47399e76,60d10143,1789a437,89b54d23,31d1cb78,49cabda2,bc5174f9,c8268dfc,2da263eb,ac7d81d8,6b8b504d,6d6bc20f,745eef75,bc9bb378,1193744b)
+,S(4097892c,5478baea,62e8da20,6d17fcd8,b8eed45f,24fb7648,fe742508,8da60a4e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b)
+,S(eb5c4120,4917d176,6fea883b,e680dfd9,233d9654,97fac48b,76f5d0d4,7f6dbf73,6897db9d,5a3d8948,ea97069e,de75661,b1ad74e4,2b1daa4f,533d88ba,67137731)
+,S(92b866ad,a37a3f2f,bc607717,96b2c74f,57dde74c,da8e015f,792df531,7eb21fa6,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677)
+,S(a78dab,f2f2ef7f,4d424752,aa1aeaf5,50bec241,bf9ad129,3b9fe680,32b6141b,9de02272,226d60c0,97e5907c,407f9e07,d4bc6959,a2079419,139a9578,4e48cb7f)
+,S(b084fee5,5da62ee0,ebdebf3b,245e0d4e,def46aac,bfdc9f43,261d3e2b,eed946a0,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa)
+,S(ff1755e,623c8369,f55edda4,2a5deef0,b32c57f4,80c5884f,d2a2dde1,b1c078c4,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242)
+,S(2cdce338,ae1f5aa0,55c76cb5,acbd084e,3284bb5d,b8cf9b4a,141cc8ee,1aa61e59,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b)
+,S(3faf6744,2aebb675,c6b75911,e3d34f4c,a8f5b669,a4c438f2,2c163659,3e36c1ea,fc0b579e,cbaf2c74,7b5c792d,7b66abf2,dfb1a44d,2ed6a417,7e1fc6bd,a989b623)
+,S(34772cad,ad5888f2,53a810b7,5b175b8d,e3a454e4,26a1b5a5,c003f222,8e7b45c0,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf)
+,S(853cffd4,4cb0a29e,390ad886,455566cc,2776ab74,55210e57,9bf1fcc0,c8d767ed,621fdd8d,dd929f3f,681a6f83,bf8061f8,2b4396a6,5df86be6,ec656a86,b1b730b0)
+,S(1130e02f,29480660,b2cb4f68,81da3f2c,1bdaf64,8df3b6ce,1a333738,29e4165e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b)
+,S(a0627644,ebc6a423,1f3e113b,eedbf9d8,21d9374a,af2e7c55,14ee7395,aa9992b7,7a60fc27,e4ab0ba6,ea71c036,52b83c5c,5ab5dac8,ea43dec2,84719f8c,6d7c3c81)
+,S(1e864d74,9e96a16a,c4299b88,226aaff9,9a45ab9c,203853ac,ea0378ef,5715ded6,6120ecff,80d4804d,6dcfe173,882249c1,a0d2dc3b,ceaee73e,74e49d8b,79445b15)
+};
+#else
+ #error No known generator for the specified exhaustive test group order.
+#endif
+#else /* !defined(EXHAUSTIVE_TEST_ORDER) */
+#define WINDOW_G ECMULT_WINDOW_SIZE
+static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(79be667e,f9dcbbac,55a06295,ce870b07,29bfcdb,2dce28d9,59f2815b,16f81798,483ada77,26a3c465,5da4fbfc,e1108a8,fd17b448,a6855419,9c47d08f,fb10d4b8)
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 1
+,S(f9308a01,9258c310,49344f85,f89d5229,b531c845,836f99b0,8601f113,bce036f9,388f7b0f,632de814,fe337e6,2a37f356,6500a999,34c2231b,6cb9fd75,84b8e672)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 2
+,S(2f8bde4d,1a072093,55b4a725,a5c5128,e88b84bd,dc619ab7,cba8d569,b240efe4,d8ac2226,36e5e3d6,d4dba9dd,a6c9c426,f788271b,ab0d6840,dca87d3a,a6ac62d6)
+,S(5cbdf064,6e5db4ea,a398f365,f2ea7a0e,3d419b7e,330e39c,e92bdded,cac4f9bc,6aebca40,ba255960,a3178d6d,861a54db,a813d0b8,13fde7b5,a5082628,87264da)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 4
+,S(acd484e2,f0c7f653,9ad178a,9f559abd,e0979697,4c57e714,c35f110d,fc27ccbe,cc338921,b0a7d9fd,64380971,763b61e9,add888a4,375f8e0f,5cc262a,c64f9c37)
+,S(774ae7f8,58a9411e,5ef4246b,70c65aac,5649980b,e5c17891,bbec1789,5da008cb,d984a032,eb6b5e19,243dd56,d7b7b365,372db1e2,dff9d6a8,301d74c9,c953c61b)
+,S(f28773c2,d975288b,c7d1d205,c3748651,b075fbc6,610e58cd,deeddf8f,19405aa8,ab0902e,8d880a89,758212eb,65cdaf47,3a1a06da,521fa91f,29b5cb52,db03ed81)
+,S(d7924d4f,7d43ea96,5a465ae3,95ff411,31e5946f,3c85f79e,44adbcf8,e27e080e,581e2872,a86c72a6,83842ec2,28cc6def,ea40af2b,d896d3a5,c504dc9f,f6a26b58)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 8
+,S(defdea4c,db677750,a420fee8,7eacf21,eb9898ae,79b97687,66e4faa0,4a2d4a34,4211ab06,94635168,e997b0ea,d2a93dae,ced1f4a0,4a95c0f6,cfb199f6,9e56eb77)
+,S(2b4ea0a7,97a443d2,93ef5cff,444f4979,f06acfeb,d7e86d27,74756561,38385b6c,85e89bc0,37945d93,b343083b,5a1c8613,1a01f60c,50269763,b570c854,e5c09b7a)
+,S(352bbf4a,4cdd1256,4f93fa33,2ce33330,1d9ad402,71f81071,81340aef,25be59d5,321eb407,5348f534,d59c1825,9dda3e1f,4a1b3b2e,71b1039c,67bd3d8b,cf81998c)
+,S(2fa2104d,6b38d11b,2300105,59879124,e42ab8df,eff5ff29,dc9cdadd,4ecacc3f,2de1068,295dd865,b6456933,5bd5dd80,181d70ec,fc882648,423ba76b,532b7d67)
+,S(9248279b,9b4d68d,ab21a9b0,66edda83,263c3d84,e09572e2,69ca0cd7,f5453714,73016f7b,f234aade,5d1aa71b,dea2b1ff,3fc0de2a,887912ff,e54a32ce,97cb3402)
+,S(daed4f2b,e3a8bf27,8e70132f,b0beb752,2f570e14,4bf615c0,7e996d44,3dee8729,a69dce4a,7d6c98e8,d4a1aca8,7ef8d700,3f83c230,f3afa726,ab40e522,90be1c55)
+,S(c44d12c7,65d812e,8acf28d7,cbb19f90,11ecd9e9,fdf281b0,e6a3b5e8,7d22e7db,2119a460,ce326cdc,76c45926,c982fdac,e106e86,1edf61c5,a039063f,e0e6482)
+,S(6a245bf6,dc698504,c89a20cf,ded60853,152b6953,36c28063,b61c65cb,d269e6b4,e022cf42,c2bd4a70,8b3f5126,f16a24ad,8b33ba48,d0423b6e,fd5e6348,100d8a82)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 16
+,S(1697ffa6,fd9de627,c077e3d2,fe541084,ce13300b,bec1146,f95ae57f,d0bd6a5,b9c398f1,86806f5d,27561506,e4557433,a2cf1500,9e498ae7,adee9d63,d01b2396)
+,S(605bdb01,9981718b,986d0f07,e834cb0d,9deb8360,ffb7f61d,f982345e,f27a7479,2972d2d,e4f8d206,81a78d93,ec96fe23,c26bfae8,4fb14db4,3b01e1e9,56b8c49)
+,S(62d14dab,4150bf49,7402fdc4,5a215e10,dcb01c35,4959b10c,fe31c7e9,d87ff33d,80fc06bd,8cc5b010,98088a19,50eed0db,1aa1329,67ab4722,35f56424,83b25eaf)
+,S(80c60ad0,40f27da,de5b4b06,c408e56b,2c50e9f5,6b9b8b42,5e555c2f,86308b6f,1c38303f,1cc5c30f,26e66bad,7fe72f70,a65eed4c,be7024eb,1aa01f56,430bd57a)
+,S(7a9375ad,6167ad54,aa74c634,8cc54d34,4cc5dc94,87d84704,9d5eabb0,fa03c8fb,d0e3fa9,eca87269,9559e0d,79269046,bdc59ea1,c70ce2b,2d499ec,224dc7f7)
+,S(d528ecd9,b696b54c,907a9ed0,45447a79,bb408ec3,9b68df50,4bb51f45,9bc3ffc9,eecf4125,3136e5f9,9966f218,81fd656e,bc434540,5c520dbc,63465b5,21409933)
+,S(49370a4,b5f43412,ea25f514,e8ecdad0,5266115e,4a7ecb13,87231808,f8b45963,758f3f41,afd6ed42,8b3081b0,512fd62a,54c3f3af,bb5b6764,b653052a,12949c9a)
+,S(77f23093,6ee88cbb,d73df930,d64702ef,881d811e,e1498e2,f1c13eb1,fc345d74,958ef42a,7886b640,a08266e,9ba1b378,96c95330,d97077cb,be8eb3c7,671c60d6)
+,S(f2dac991,cc4ce4b9,ea44887e,5c7c0bce,58c80074,ab9d4dba,eb28531b,7739f530,e0dedc9b,3b2f8dad,4da1f32d,ec2531df,9eb5fbeb,598e4fd,1a117dba,703a3c37)
+,S(463b3d9f,662621fb,1b4be8fb,be252012,5a216cdf,c9dae3de,bcba4850,c690d45b,5ed430d7,8c296c35,43114306,dd8622d7,c622e27c,970a1de3,1cb377b0,1af7307e)
+,S(f16f8042,44e46e2a,9232d4a,ff3b5997,6b98fac1,4328a2d1,a32496b4,9998f247,cedabd9b,82203f7e,13d206fc,df4e33d9,2a6c53c2,6e5cce26,d6579962,c4e31df6)
+,S(caf75427,2dc84563,b0352b7a,14311af5,5d245315,ace27c65,369e15f7,151d41d1,cb474660,ef35f5f2,a41b643f,a5e46057,5f4fa9b7,962232a5,c32f9083,18a04476)
+,S(2600ca4b,282cb986,f85d0f17,9979d8b,44a09c07,cb86d7c1,24497bc8,6f082120,4119b887,53c15bd6,a693b03f,cddbb45d,5ac6be74,ab5f0ef4,4b0be947,5a7e4b40)
+,S(7635ca72,d7e8432c,338ec53c,d12220bc,1c48685,e24f7dc8,c602a774,6998e435,91b6496,9489d61,3d1d5e59,f78e6d7,4ecfc061,d57048ba,d9e76f30,2c5b9c61)
+,S(754e3239,f325570c,dbbf4a87,deee8a66,b7f2b334,79d468fb,c1a50743,bf56cc18,673fb86,e5bda30f,b3cd0ed3,4ea49a0,23ee33d0,197a695d,c5d9809,3c536683)
+,S(e3e6bd10,71a1e96a,ff57859c,82d570f0,33080066,1d1c952f,9fe26946,91d9b9e8,59c9e0bb,a394e76f,40c0aa58,379a3cb6,a5a22839,93e90c41,67002af4,920e37f5)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 32
+,S(186b483d,56a0338,26ae73d8,8f732985,c4ccb1f3,2ba35f4b,4cc47fdc,f04aa6eb,3b952d32,c67cf77e,2e17446e,204180ab,21fb8090,895138b4,a4a797f8,6e80888b)
+,S(df9d70a6,b9876ce5,44c98561,f4be4f72,5442e6d2,b737d9c9,1a832172,4ce0963f,55eb2daf,d84d6ccd,5f862b78,5dc39d4a,b1572227,20ef9da2,17b8c45c,f2ba2417)
+,S(5edd5cc2,3c51e87a,497ca815,d5dce0f8,ab52554f,849ed899,5de64c5f,34ce7143,efae9c8d,bc141306,61e8cec0,30c89ad0,c13c66c0,d17a2905,cdc706ab,7399a868)
+,S(290798c2,b6476830,da12fe02,287e9e77,7aa3fba1,c355b17a,722d362f,84614fba,e38da76d,cd440621,988d00bc,f79af25d,5b29c094,db2a2314,6d003afd,41943e7a)
+,S(af3c423a,95d9f5b3,54754ef,a150ac39,cd29552f,e3602573,62dfdece,f4053b45,f98a3fd8,31eb2b74,9a93b0e6,f35cfb40,c8cd5aa6,67a15581,bc2feded,498fd9c6)
+,S(766dbb24,d134e745,cccaa28c,99bf2749,6bb66b2,6dcf98df,8d2fed50,d884249a,744b1152,eacbe5e3,8dcc8879,80da38b8,97584a65,fa06cedd,2c924f97,cbac5996)
+,S(59dbf46f,8c94759b,a21277c3,3784f416,45f7b44f,6c596a58,ce92e666,191abe3e,c534ad44,175fbc30,f4ea6ce,648309a0,42ce739a,7919798c,d85e216c,4a307f6e)
+,S(f13ada95,103c4537,305e691e,74e9a4a8,dd647e71,1a95e73c,b62dc601,8cfd87b8,e13817b4,4ee14de6,63bf4bc8,8341f32,6949e21a,6a75c257,778419b,daf5733d)
+,S(7754b4fa,e8aced0,6d4167a2,c59cca4c,da1869c0,6ebadfb6,48855001,5a88522c,30e93e86,4e669d82,224b967c,3020b8fa,8d1e4e35,b6cbcc5,37a48b57,841163a2)
+,S(948dcadf,5990e048,aa3874d4,6abef9d7,1858f95,de8041d2,a6828c99,e2262519,e491a425,37f6e597,d5d28a32,24b1bc25,df9154ef,bd2ef1d2,cbba2cae,5347d57e)
+,S(79624144,50c76c16,89c7b48f,8202ec37,fb224cf5,ac0bfa15,70328a8a,3d7c77ab,100b610e,c4ffb476,d5c1fc1,33ef6f6b,12507a05,1f04ac57,60afa5b2,9db83437)
+,S(35140878,34964b54,b15b1606,44d91548,5a169772,25b8847b,b0dd0851,37ec47ca,ef0afbb2,5620544,8e1652c4,8e8127fc,6039e77c,15c2378b,7e7d15a0,de293311)
+,S(d3cc30ad,6b483e4b,c79ce2c9,dd8bc549,93e947eb,8df787b4,42943d3f,7b527eaf,8b378a22,d827278d,89c5e9be,8f9508ae,3c2ad462,90358630,afb34db0,4eede0a4)
+,S(1624d847,80732860,ce1c78fc,bfefe08b,2b29823d,b913f649,3975ba0f,f4847610,68651cf9,b6da903e,914448c,6cd9d4ca,896878f5,282be4c8,cc06e2a4,4078575)
+,S(733ce80d,a955a8a2,6902c956,33e62a98,5192474b,5af207da,6df7b4fd,5fc61cd4,f5435a2b,d2badf7d,485a4d8b,8db9fcce,3e1ef8e0,201e4578,c54673bc,1dc5ea1d)
+,S(15d94412,54945064,cf1a1c33,bbd3b49f,8966c509,2171e699,ef258dfa,b81c045c,d56eb30b,69463e72,34f5137b,73b84177,434800ba,cebfc685,fc37bbe9,efe4070d)
+,S(a1d0fcf2,ec9de675,b612136e,5ce70d27,1c21417c,9d2b8aaa,ac138599,d0717940,edd77f50,bcb5a3ca,b2e90737,309667f2,641462a5,4070f3d5,19212d39,c197a629)
+,S(e22fbe15,c0af8ccc,5780c073,5f84dbe9,a790bade,e8245c06,c7ca3733,1cb36980,a855bab,ad5cd60c,88b430a6,9f53a1a7,a3828915,4964799b,e43d06d7,7d31da06)
+,S(311091dd,9860e8e2,ee13473,c1155f5f,69635e39,4704eaa7,40094522,46cfa9b3,66db656f,87d1f04f,ffd1f047,88c06830,871ec5a6,4feee685,bd80f0b1,286d8374)
+,S(34c1fd04,d301be89,b31c0442,d3e6ac24,883928b4,5a934078,1867d423,2ec2dbdf,9414685,e97b1b59,54bd46f7,30174136,d57f1cee,b487443d,c5321857,ba73abee)
+,S(f219ea5d,6b54701c,1c14de5b,557eb42a,8d13f3ab,bcd08aff,cc2a5e6b,49b8d63,4cb95957,e83d40b0,f73af454,4cccf6b1,f4b08d3c,7b27fb8,d8c2962a,400766d1)
+,S(d7b8740f,74a8fbaa,b1f683db,8f45de26,543a5490,bca62708,72369124,69a0b448,fa779681,28d9c92e,e1010f33,7ad4717e,ff15db5e,d3c049b3,411e0315,eaa4593b)
+,S(32d31c22,2f8f6f0e,f86f7c98,d3a3335e,ad5bcd32,abdd9428,9fe4d309,1aa824bf,5f3032f5,892156e3,9ccd3d79,15b9e1da,2e6dac9e,6f26e961,118d14b8,462e1661)
+,S(7461f371,914ab326,71045a15,5d9831ea,8793d77c,d59592c4,340f86cb,c18347b5,8ec0ba23,8b96bec0,cbdddcae,aa44254,2eee1ff5,c986ea6,b39847b3,cc092ff6)
+,S(ee079adb,1df18600,74356a25,aa38206a,6d716b2c,3e67453d,287698ba,d7b2b2d6,8dc2412a,afe3be5c,4c5f37e0,ecc5f9f6,a446989a,f04c4e25,ebaac479,ec1c8c1e)
+,S(16ec93e4,47ec83f0,467b1830,2ee620f7,e65de331,874c9dc7,2bfd8616,ba9da6b5,5e463115,e62fb40,d0e8c2a7,ca5804a3,9d58186a,50e49713,9626778e,25b0674d)
+,S(eaa5f980,c245f6f0,38978290,afa70b6b,d8855897,f98b6aa4,85b96065,d537bd99,f65f5d3e,292c2e08,19a52839,1c994624,d784869d,7e6ea67f,b1804102,4edc07dc)
+,S(78c9407,544ac132,692ee191,a024399,58ae0487,7151342e,a96c4b6b,35a49f51,f3e03191,69eb9b85,d5404795,539a5e68,fa1fbd58,3c064d24,62b675f1,94a3ddb4)
+,S(494f4be2,19a1a770,16dcd838,431aea00,1cdc8ae,7a6fc688,726578d9,702857a5,42242a96,9283a5f3,39ba7f07,5e36ba2a,f925ce30,d767ed6e,55f4b031,880d562c)
+,S(a598a803,da6d86c,6bc7f2f5,144ea549,d28211ea,58faa70e,bf4c1e66,5c1fe9b5,204b5d6f,84822c30,7e4b4a71,40737aec,23fc63b6,5b35f86a,10026dbd,2d864e6b)
+,S(c4191636,5abb2b5d,9192f5f,2dbeafec,208f020f,12570a18,4dbadc3e,58595997,4f14351,d0087efa,49d245b3,28984989,d5caf945,f34bfc0,ed16e96b,58fa9913)
+,S(841d6063,a586fa47,5a724604,da03bc5b,92a2e0d2,e0a36acf,e4c73a55,14742881,73867f5,9c0659e8,1904f9a1,c7543698,e62562d6,744c169c,e7a36de0,1a8d6154)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 64
+,S(5e95bb39,9a6971d3,76026947,f89bde2f,282b3381,928be4d,ed112ac4,d70e20d5,39f23f36,6809085b,eebfc711,81313775,a99c9aed,7d8ba38b,161384c7,46012865)
+,S(36e4641a,53948fd4,76c39f8a,99fd974e,5ec07564,b5315d8b,f99471bc,a0ef2f66,d2424b1b,1abe4eb8,164227b0,85c9aa94,56ea1349,3fd563e0,6fd51cf5,694c78fc)
+,S(336581e,a7bfbbb2,90c191a2,f507a41c,f5643842,170e914f,aeab27c2,c579f726,ead12168,595fe1be,99252129,b6e56b33,91f7ab14,10cd1e0e,f3dcdcab,d2fda224)
+,S(8ab89816,dadfd6b6,a1f2634f,cf00ec84,3781025,ed6890c4,84974270,6bd43ede,6fdcef09,f2f6d0a0,44e654ae,f624136f,503d459c,3e898458,58a47a91,29cdd24e)
+,S(1e33f1a7,46c9c577,8133344d,9299fcaa,20b0938e,8acff254,4bb40284,b8c5fb94,6066025,7dd11b3a,a9c8ed61,8d24edff,2306d320,f1d03010,e33a7d20,57f3b3b6)
+,S(85b7c1dc,b3cec1b7,ee7f30de,d79dd20a,ed1f4cc,18cbcfcf,a410361f,d8f08f31,3d98a9cd,d026dd43,f39048f2,5a8847f4,fcafad18,95d7a633,c6fed3c3,5e999511)
+,S(29df9fbd,8d9e4650,9275f4b1,25d6d45d,7fbe9a3b,878a7af8,72a28006,61ac5f51,b4c4fe9,9c775a60,6e2d8862,179139ff,da61dc86,1c019e55,cd2876eb,2a27d84b)
+,S(a0b1cae0,6b0a847a,3fea6e67,1aaf8adf,dfe58ca2,f768105c,8082b2e4,49fce252,ae434102,edde0958,ec4b19d9,17a6a28e,6b72da18,34aff0e6,50f04950,3a296cf2)
+,S(4e8ceaf,b9b3e9a1,36dc7ff6,7e840295,b499dfb3,b2133e4b,a113f2e4,c0e121e5,cf217411,8c8b6d7a,4b48f6d5,34ce5c79,422c086a,63460502,b827ce62,a326683c)
+,S(d24a44e0,47e19b6f,5afb81c7,ca2f6908,a507668,9a010919,f42725c2,b789a33b,6fb8d559,1b466f8f,c63db50f,1c0f1c69,13f9968,87b8244d,2cdec417,afea8fa3)
+,S(ea01606a,7a6c9cdd,249fdfcf,acb99584,1edd28,abbab77b,5104e98e,8e3b35d4,322af490,8c7312b0,cfbfe369,f7a7b3cd,b7d4494b,c2823700,cfd65218,8a3ea98d)
+,S(af8addbf,2b661c8a,6c632865,5eb96651,252007d8,c5ea31be,4ad196de,8ce2131f,6749e67c,29b85f5,2a034eaf,d096836b,25208186,80e26ac8,f3dfbcdb,71749700)
+,S(e3ae19,74566ca0,6cc516d4,7e0fb165,a674a3da,bcfca15e,722f0e34,50f45889,2aeabe7e,45315101,16217f07,bf4d0730,de97e48,74f81f53,3420a72e,eb0bd6a4)
+,S(591ee355,313d9972,1cf6993f,fed1e3e3,1993ff3,ed258802,75ea8ce,d397e246,b0ea558a,113c30be,a60fc477,5460c790,1ff0b053,d25ca2bd,eee98f1a,4be5d196)
+,S(11396d55,fda54c49,f19aa973,18d8da61,fa8584e4,7b084945,77cf032,55b52984,998c74a8,cd45ac01,289d5833,a7beb474,4ff536b0,1b257be4,c5767bea,93ea57a4)
+,S(3c5d2a1b,a39c5a17,90000738,c9e0c40b,8dcdfd54,68754b64,5540157,e017aa7a,b2284279,995a34e2,f9d4de73,96fc18b8,f9b8b9f,dd270f66,61f79ca4,c81bd257)
+,S(cc8704b8,a60a0def,a3a99a72,99f2e9c3,fbc395af,b04ac078,425ef8a1,793cc030,bdd46039,feed1788,1d1e0862,db347f8c,f395b74f,c4bcdc4e,940b74e3,ac1f1b13)
+,S(c533e4f7,ea8555aa,cd9777ac,5cad29b9,7dd4defc,cc53ee7e,a204119b,2889b197,6f0a256b,c5efdf42,9a2fb624,2f1a43a2,d9b925bb,4a4b3a26,bb8e0f45,eb596096)
+,S(c14f8f2,ccb27d6f,109f6d08,d03cc96a,69ba8c34,eec07bbc,f566d48e,33da6593,c359d692,3bb398f7,fd4473e1,6fe1c284,75b740dd,98075e6,c0e86491,13dc3a38)
+,S(a6cbc304,6bc6a450,bac24789,fa17115a,4c9739ed,75f8f21c,e441f72e,b90e6ef,21ae7f4,680e889b,b130619e,2c0f95a3,60ceb573,c7060313,9862afd6,17fa9b9f)
+,S(347d6d9a,2c48927,ebfb86c1,359b1caf,130a3c02,67d11ce6,344b39f9,9d43cc38,60ea7f61,a353524d,1c987f6e,cec92f08,6d565ab6,87870cb1,2689ff1e,31c74448)
+,S(da6545d2,181db8d9,83f7dcb3,75ef5866,d47c67b1,bf31c8cf,855ef743,7b72656a,49b96715,ab6878a7,9e78f07c,e5680c5d,6673051b,4935bd89,7fea824b,77dc208a)
+,S(c40747cc,9d012cb1,a13b8148,309c6de7,ec25d694,5d657146,b9d5994b,8feb1111,5ca56075,3be2a12f,c6de6caf,2cb48956,5db93615,6b9514e1,bb5e8303,7e0fa2d4)
+,S(4e42c8ec,82c99798,ccf3a610,be870e78,338c7f71,3348bd34,c8203ef4,37f3502,7571d74e,e5e0fb92,a7a8b33a,7783341,a5492144,cc54bcc4,a944736,93606437)
+,S(3775ab70,89bc6af8,23aba2e1,af70b236,d251cadb,c867432,87522a1b,3b0dedea,be52d107,bcfa09d8,bcb9736a,828cfa7f,ac8db17b,f7a76a2c,42ad9614,9018cf7)
+,S(cee31cbf,7e34ec37,9d94fb81,4d3d775a,d954595d,1314ba88,46959e3e,82f74e26,8fd64a14,c06b589c,26b947ae,2bcf6bfa,149ef0b,e14ed4d8,f448a01,c43b1c6d)
+,S(b4f9eaea,9b69176,19f6ea6a,4eb5464e,fddb58fd,45b1ebef,cdc1a01d,8b47986,39e5c992,5b5a54b0,7433a4f1,8c61726f,8bb131c0,12ca542e,b24a8ac0,7200682a)
+,S(d4263dfc,3d2df923,a0179a48,966d30ce,84e2515a,fc3dccc1,b7790779,2ebcc60e,62dfaf07,a0f78feb,30e30d62,95853ce1,89e12776,ad6cf7f,ae164e12,2a208d54)
+,S(48457524,820fa65a,4f8d35eb,6930857c,32acc0,a4a2de42,2233eeda,897612c4,25a748ab,367979d9,8733c38a,1fa1c2e7,dc6cc07d,b2d60a9a,e7a76aaa,49bd0f77)
+,S(dfeeef18,81101f2c,b11644f3,a2afdfc2,45e1991,9152923f,367a1767,c11cceda,ecfb7056,cf1de042,f9420bab,396793c0,c390bde7,4b4bbdff,16a83ae0,9a9a7517)
+,S(6d7ef6b1,7543f837,3c573f44,e1f38983,5d89bcbc,6062ced3,6c82df83,b8fae859,cd450ec3,35438986,dfefa10c,57fea9bc,c521a095,9b2d80bb,f74b190d,ca712d10)
+,S(e75605d5,9102a5a2,684500d3,b991f2e3,f3c88b93,22554703,5af25af6,6e04541f,f5c54754,a8f71ee5,40b9b487,28473e31,4f729ac5,308b0693,8360990e,2bfad125)
+,S(eb98660f,4c4dfaa0,6a2be453,d5020bc9,9a0c2e60,abe38845,7dd43fef,b1ed620c,6cb9a887,6d9cb852,609af3a,dd26cd20,a0a7cd8a,9411131c,e85f4410,99223e)
+,S(13e87b02,7d8514d3,5939f2e6,892b1992,21545969,41888336,dc3563e3,b8dba942,fef5a3c6,8059a6de,c5d62411,4bf1e91a,ac2b9da5,68d6abeb,2570d556,46b8adf1)
+,S(ee163026,e9fd6fe0,17c38f06,a5be6fc1,25424b37,1ce2708e,7bf44916,91e5764a,1acb250f,255dd61c,43d94ccc,670d0f58,f49ae3fa,15b96623,e5430da0,ad6c62b2)
+,S(b268f5ef,9ad51e4d,78de3a75,c2dc89b,1e626d43,50586799,9932e5db,33af3d80,5f310d4b,3c99b9eb,b19f77d4,1c1dee01,8cf0d34f,d4191614,3e945a,1216e423)
+,S(ff07f311,8a9df035,e9fad85e,b6c7bfe4,2b02f01c,a99ceea3,bf7ffdba,93c4750d,438136d6,3e858a3,a5c440c3,8eccbadd,c1d29421,14e2eddd,4740d098,ced1f0d8)
+,S(8d8b9855,c7c052a3,4146fd20,ffb658be,a4b9f69e,d825ebe,c16e8c3c,e2b526a1,cdb559ee,dc2d79f9,26baf44f,b84ea4d4,4bcf50fe,e51d7ceb,30e2e7f4,63036758)
+,S(52db0b53,84dfbf05,bfa9d472,d7ae26df,e4b851ce,ca91b1eb,a5426318,da32b63,c3b997d,50ee5d4,23ebaf66,a6db9f57,b3180c90,2875679d,e924b69d,84a7b375)
+,S(e62f9490,d3d51da6,395efd24,e80919cc,7d0f29c3,f3fa48c6,fff543be,cbd43352,6d89ad7b,a4876b0b,22c2ca28,c682862,f342c859,1f1daf51,70e07bfd,9ccafa7d)
+,S(7f30ea24,76b399b4,957509c8,8f77d019,1afa2ff5,cb7b14fd,6d8e7d65,aaab1193,ca5ef7d4,b231c94c,3b15389a,5f6311e9,daff7bb6,7b103e98,80ef4bff,637acaec)
+,S(5098ff1e,1d9f14fb,46a210fa,da6c903f,ef0fb7b4,a1dd1d9a,c60a0361,800b7a00,9731141,d81fc8f8,84d37c6,e7542006,b3ee1b40,d60dfe53,62a5b132,fd17ddc0)
+,S(32b78c7d,e9ee512a,72895be6,b9cbefa6,e2f3c4cc,ce445c96,b9f2c81e,2778ad58,ee1849f5,13df71e3,2efc3896,ee28260c,73bb8054,7ae2275b,a4972377,94c8753c)
+,S(e2cb74fd,dc8e9fbc,d076eef2,a7c72b0c,e37d50f0,8269dfc0,74b58155,547a4f7,d3aa2ed7,1c9dd224,7a62df06,2736eb0b,addea9e3,6122d2be,8641abcb,5cc4a4)
+,S(84384475,66d4d7be,dadc2994,96ab3574,26009a35,f235cb14,1be0d99c,d10ae3a8,c4e10209,16980a4d,a5d01ac5,e6ad3307,34ef0d79,6631c4f,2390426b,2edd791f)
+,S(4162d488,b8940203,9b584c6f,c6c30887,587d9c4,6f660b87,8ab65c82,c711d67e,67163e90,3236289f,776f22c2,5fb8a3af,c1732f2b,84b4e95d,bda47ae5,a0852649)
+,S(3fad3fa8,4caf0f34,f0f89bfd,2dcf54fc,175d767a,ec3e5068,4f3ba4a4,bf5f683d,cd1bc7c,b6cc407b,b2f0ca64,7c718a73,cf71872,e7d0d2a5,3fa20efc,dfe61826)
+,S(674f2600,a3007a00,568c1a7c,e05d0816,c1fb84bf,1370798f,1c69532f,aeb1a86b,299d21f9,413f33b3,edf43b25,7004580b,70db57da,b182259,e09eecc6,9e0d38a5)
+,S(d32f4da5,4ade74ab,b81b815a,d1fb3b26,3d82d6c6,92714bcf,f87d29bd,5ee9f08f,f9429e73,8b8e53b9,68e99016,c0597077,82e14f45,35359d58,2fc41691,b3eea87)
+,S(30e4e670,43538555,6e593657,135845d3,6fbb6931,f72b08cb,1ed954f1,e3ce3ff6,462f9bce,61989863,84993501,13bbc9b1,a878d35,da70740d,c695a559,eb88db7b)
+,S(be206200,3c51cc30,4682904,330e4dee,7f3dcd10,b01e580b,f1971b04,d4cad297,62188bc4,9d61e542,8573d48a,74e1c655,b1c61090,905682a0,d5558ed7,2dccb9bc)
+,S(93144423,ace3451e,d29e0fb9,ac2af211,cb6e84a6,1df5993,c419859f,ff5df04a,7c10dfb1,64c3425f,5c71a3f9,d7992038,f1065224,f72bb9d1,d902a6d1,3037b47c)
+,S(b015f804,4f5fcbdc,f21ca26d,6c34fb81,97829205,c7b7d2a7,cb66418c,157b112c,ab8c1e08,6d04e813,744a655b,2df8d5f8,3b3cdc6f,aa3088c1,d3aea145,4e3a1d5f)
+,S(d5e9e1da,649d97d8,9e486811,7a465a3a,4f8a18de,57a140d3,6b3f2af3,41a21b52,4cb04437,f391ed73,111a13cc,1d4dd0db,1693465c,2240480d,8955e859,2f27447a)
+,S(d3ae4104,7dd7ca06,5dbf8ed7,7b992439,983005cd,72e16d6f,996a5316,d36966bb,bd1aeb21,ad22ebb2,2a10f030,3417c6d9,64f8cdd7,df0aca61,4b10dc14,d125ac46)
+,S(463e2763,d885f958,fc66cdd2,2800f0a4,87197d0a,82e377b4,9f80af87,c897b065,bfefacdb,e5d0fd7,df3a311a,94de062b,26b80c61,fbc97508,b7999267,1ef7ca7f)
+,S(7985fdfd,127c0567,c6f53ec1,bb63ec31,58e597c4,bfe747c,83cddfc9,10641917,603c12da,f3d9862e,f2b25fe1,de289aed,24ed291e,ec67087,3a5bd56,7f32ed03)
+,S(74a1ad6b,5f76e39d,b2dd2494,10eac7f9,9e74c59c,b83d2d0e,d5ff1543,da7703e9,cc6157ef,18c9c63c,d6193d83,631bbea0,93e0968,942e8c33,d5737fd7,90e0db08)
+,S(30682a50,703375f6,2d41666,4ba19b7f,c9bab42c,72747463,a71d0896,b22f6da3,553e04f6,b018b4fa,6c8f39e7,f311d317,6290d0e0,f19ca73f,17714d99,77a22ff8)
+,S(9e2158f0,d7c0d5f2,6c3791ef,efa79597,654e7a2b,2464f52b,1ee6c134,7769ef57,712fcdd,1b9053f0,9003a348,1fa7762e,9ffd7c8e,f35a3850,9e2fbf26,29008373)
+,S(176e2698,9a43c9cf,eba4029c,202538c2,8172e566,e3c4fce7,322857f3,be327d66,ed8cc9d0,4b29eb87,7d270b48,78dc43c1,9aefd31f,4eee09ee,7b47834c,1fa4b1c3)
+,S(75d46efe,a3771e6e,68abb89a,13ad747e,cf189239,3dfc4f1b,7004788c,50374da8,9852390a,99507679,fd0b86fd,2b39a868,d7efc221,51346e1a,3ca47265,86a6bed8)
+,S(809a20c6,7d64900f,fb698c4c,825f6d5f,2310fb04,51c86934,5b7319f6,45605721,9e994980,d9917e22,b76b0619,27fa0414,3d096ccc,54963e6a,5ebfa5f3,f8e286c1)
+,S(1b38903a,43f7f114,ed4500b4,eac7083f,defece1c,f29c6352,8d563446,f972c180,4036edc9,31a60ae8,89353f77,fd53de4a,2708b26b,6f5da72a,d3394119,daf408f9)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 128
+,S(90a80db6,eb294b9e,ab0b4e8d,dfa3efe7,263458ce,2d07566d,f4e6c588,68feef23,753c8b9f,9754f18d,87f21145,d9e2936b,5ee050b2,7bbd9681,442c76e9,2fcf91e6)
+,S(c2c80f84,4b705998,12d62546,f60340e,3e6f3605,4a14546e,6dc25d47,376bea9b,86ca160d,68f4d4e7,18b495b8,91d3b1b5,73b871a7,2b4cf61,23abd448,3aa79c64)
+,S(9cf60674,4cf4b5f3,fdf989d3,f19fb265,2d00cfe1,d5fcd692,a323ce11,a28e7553,8147cbf7,b973fcc1,5b57b6a3,cfad6863,edd0f30e,3c45b85d,c300c513,c247759d)
+,S(57488fa2,8742c6b2,5a493fd6,60d936e,a6280b0c,742005ab,ce98f585,5ad82208,31b3ca45,5073bea5,58adbe56,c27b470b,af949ae6,50213921,dc287844,f1a29574)
+,S(f1133cbe,6be8bbc8,dc8df2b8,d75963c2,d40ed616,c758cdc8,4edbc5eb,4899447d,57fc2447,2225b23f,5714626d,8d67d561,10bd3a60,dd7a1687,cbbb893,f652f50f)
+,S(95083e75,3301bd78,7f8989c7,9065bb81,3f3d69bf,f3e42505,f4e0417,5bbe89c0,844adb5c,e7d10de9,4617c73c,a77040e4,ee4e92e0,156b3c70,cc593fa4,94b33482)
+,S(1a908355,cbb75675,5e576ed2,9c99af63,8668c7b3,63c8d973,62100443,bc5c75c6,d765466c,6e556e35,2f778722,25627d80,a7353807,4b44ff27,57ad22e,2f2454a2)
+,S(c5922f74,bd343d5,aa867308,fad97f9f,8a2d1f63,c5f31db4,f04df3be,f349b648,77b1f068,7cfcdbe8,812605e5,d8b752c,da811844,236a4c43,77f53c94,6e7bd648)
+,S(64e1b196,9f910297,7691a404,31b0b672,55dcf31,163897d9,96434420,e6c95dc9,c16f60c7,c11fc3c9,eb27fa26,a9035b66,9bfb77d2,1cef371d,dce94e32,9222550c)
+,S(33b2e76,687744ed,6c521bad,3333dd37,c602f8a7,549e9ce7,808fb7ea,7ce08de,e1bcfe7f,c8ed8ae9,5cf6c243,7fdd94bf,d742e8ca,a6de7811,4c25112a,86988efd)
+,S(20f18f4c,866d8a1c,c2a31033,17b4ac31,89fbf30f,f294a75c,951473be,45e4f294,8d6857c9,d08ef7b4,fd888336,3d37bee7,fe8529f,7173f589,43fcae81,d2d0ea0e)
+,S(4d1623c9,44c9c716,a0eb4c68,5e2a8b9d,2df34653,54643bef,d1444176,d7b69a8b,ddf1b9fe,8744ad03,f996bf6b,96ec3496,2b601bd5,ed952f78,54f58388,8917be80)
+,S(a901b0db,e8ab292d,280d6b36,85894785,4faad0a4,dd0da7e2,d4ad0ff5,3db079e0,3f27e7e1,834f1a61,af6f04dc,61e7ae64,716bc5e0,a6b063b3,1d0e60e,47298a9d)
+,S(7e0af071,30218ffd,50bd66f4,484645b1,2f42a24f,7c80889b,3031c9a6,ebfc9a70,50bc23f3,926cd0c4,9f53fbb2,35eb1e89,d579517,f5bdc3ab,2416db78,5aaedb3f)
+,S(7ba8187e,1a7b25a2,c185d335,440a9038,b47f0528,546e9da4,ef82aab0,5aebf20d,6e6aee6c,9625370a,f866c25c,7ca5dd78,527efbc,e7d8b3a3,9ab24930,9a185187)
+,S(8c050fc3,4d83b279,b6000816,e18fca38,9767b796,e926772,55b84a39,d93a6807,986314ef,75b68fb2,827c2965,4198139,5d699fcd,81cf23ce,7019bc41,35174870)
+,S(53b7849a,78e4df86,25860583,a5249948,9d7201a2,cbf50620,2a7b8b1b,c99c2ec9,4e31ea12,ac607d07,5de4b22d,e1be2c52,e0a44d25,4728d2c5,44d2ddf9,e3e469c0)
+,S(9bdf9e67,a5d0c995,6a075a01,fe762be,b6335004,31dee78e,febc527e,53313b33,94264621,a5960e0e,e24c2792,6f16cad2,907f2636,762e8d5a,17e94afd,8e9d2bb0)
+,S(7caa72b3,7a8ab3bd,bac031a,47606f89,17d9f42c,6ec2d2fb,429fd990,4a381f34,5b5853ab,7ee5de8d,34e3d6be,b201094f,ff8fbd1e,682f7f1,ef87ddd6,5d7303c9)
+,S(2ef29b9f,9827975,79c0295f,c3f48db7,925d62c7,5532493d,de16b97e,3993d81a,496c944d,d9875ba6,a537ef9,6bf4c714,a0afff24,387d95e8,9b42337a,33110753)
+,S(df157cad,95b07875,573c1860,ae5d02c6,4029e952,ec354e6a,9e5c34be,97317ff8,f2eccac7,75922b50,899c979a,2b3cc30,b629e62e,85693ba4,70f6ee38,1284c162)
+,S(dd55c150,a29ca526,b6182e64,3b9eb544,e651d236,b71920e7,b15a9870,16454b1d,44c757a5,42f4ea2e,b39605d4,268c2510,ac685aab,d77a8f5c,4d95e23f,4c2e9368)
+,S(16886cf4,6ed42c79,19147763,63d3256,c4d5d393,87f01723,25b9e4b8,98227f27,7421a220,7ee73299,d46192fc,93ca03de,c824ed8d,e2f48367,ec538317,a17fffb)
+,S(6ff180fc,daa30618,8e8b306,d6f0acff,27968c22,484ff45e,56aeaa7b,2b60732f,7d16d654,f0c2aff0,fc254dad,63761a2,6c8d4022,ea85b8cc,22f3ea1e,f69961a9)
+,S(3ea4511,a00dc2a0,3eb4f51f,40ee677c,aa912b55,39f685c4,f8bcc8ea,dc395e36,6c9ed1f1,528b0215,93a39839,340ddb53,a2f2e36,5290c498,24b035c6,73c9259d)
+,S(b82cd70,dc3de9ea,b38742d8,f32dfb8d,53e4150a,835e54b6,3c7cca20,f253081d,e8bcbfe,1f7f6e75,d32e2049,9329765f,2effc56,a922f268,60d4bc0a,add0e24d)
+,S(fe2fc3e0,748745,84ee23bf,105a69a6,6d056f0,17327d49,b7b38b57,a196c77f,3e18941c,c3c6d297,cc9a32f6,95807b1c,7da8561d,e4fde71d,4f9bbdb6,e9bf3916)
+,S(4b90176,cdaa3693,47e8778b,12db9d6e,e8b00114,46ea35ec,845dbf57,4bb7858b,f60547ab,6e9c5fd3,eca6e349,b85880c6,1fdad0fc,2f7ab155,295caaec,b973c154)
+,S(35f38251,1d34600b,4b8c86a9,f0dbc9ed,defc4272,f59528a0,cd3ec10a,5944c6d2,29a835f6,ef7fa1e5,f6f37a80,cf96ca98,43762bb1,b12a0dae,ae83234b,d0b5ccd5)
+,S(1d74b297,311b7ff,a1027e26,587d3f5b,e1d0e9ac,3f0111cd,f3cc2371,722cb94a,5c7bcf8b,57f114e0,b73bcfb8,10f5c60d,35dc99ae,9dc7f0e2,606cc1f7,28c2071e)
+,S(50a094f3,9c6f956,b020737,b9ec722e,4f75d1b7,c41593e6,f934a68a,98450428,a286e222,dfe10cfd,9689eaba,6a81f044,89c86db6,869aa1b5,54a90f1e,83778eee)
+,S(9b65bb81,2129157c,dfecf12e,275ec38c,282dbcd9,14b48105,99b0a6d6,27c63db7,c582db1a,3f0f2242,1913b2e9,51e98a78,660b4c40,ad08fd65,528593bc,18223188)
+,S(8b4544fc,1fdfa06e,456c1115,a1dc831c,85e7f1c5,e620eca5,1c20802d,36a4bc6b,e3e77c41,288f2602,e722af7f,4b70e64d,e4116fb9,955b03b0,6ea8b19f,7a20350d)
+,S(6c709880,b959eb7c,5179b29c,c5578fdc,6cb2ae13,ddcede29,d5f81d95,de0ab4aa,c9e33fae,bd8eba42,6736c0c7,6f3deaba,ee2b59c5,953fb43,c2dcc513,9e7c4bdc)
+,S(77760b51,37ba6a71,95d891f7,94a087a0,76fc9d67,802b81e7,85b5677,3d537806,f5202cf5,aaeea58b,f4f58c7e,df4417be,1b87ffde,e68e77f0,d7e81abe,158e3a25)
+,S(1a8bd783,6a0b0c82,e9a904a8,a8c91a67,e23cd4f8,efd625d0,df4c426e,7e163102,61fe64ca,b0952cae,3c574f28,2f74a87d,c2a96316,b7009f2e,4e9c5fcc,12285844)
+,S(fe217db6,59079913,fb1e453e,d24d91d6,a3fb3099,e69471d7,53db5390,864abc30,5dcf9abb,a9625ed6,80b0f20f,b1f047d5,93a0c61c,53969253,8cdf6b03,4d730b58)
+,S(2504d637,54afd5eb,c38f58b6,5ead696d,7e3abd7,48cb6c5f,212aed49,f5b33b91,79a6bf43,75f1469c,4f5321c6,c72fbbf4,ba7cec10,5675f437,b5e013ad,7b5d75d4)
+,S(b06f702,f47b22d7,89a9bd3f,687105c3,6160abbf,5cc8976b,7fbddcaf,db197b5c,7669bbd4,19a4d491,f592a35b,6aa3dfe4,5bd2fe7f,d179c778,1cd5f918,d732f63d)
+,S(803b203b,b31f9cf9,4034eeb9,31b54480,a6f3f99e,bd23d0ac,bc2128a6,d044e23,308abc8d,f271f759,59b20c5c,7fa62baf,bfc9ccbf,49b946a9,54e5381c,1728d1c7)
+,S(266a9cb4,c5f5cead,bb50e5bd,a03a7312,e52de1de,8e95a8dc,d57289fe,302749a,9eea970b,a856b2fa,a3e82877,cc84ed4f,3dc0efba,1e7c3baa,8b386ffc,46e0ae7e)
+,S(fd8a9d95,d80c7ad5,2599a7ab,98163df3,64c4c141,e9abea35,5d7360bc,f84eba94,a9fb1702,100953b3,59b2e268,8ae7fd33,a30377da,47bfda71,3e2d7d73,dfb1030c)
+,S(a7322df3,9f28f23,59fc339a,8b2c80be,6e84acc5,b7b0b8f8,f2cb6f26,f9db0a7d,22f6fe9d,21749501,7fdb7f5b,2f12fa57,95f40e1,31714885,c12a2ea1,6edb6be6)
+,S(82a8c10f,336a6649,63a104dd,bf7f0f18,bd4c461a,ea569ffc,82c3c7e4,cb052d36,737ceca2,c0ef7227,8b90501c,cb71b671,5e5c31d4,cd0478c1,18fe1287,95f1dd0c)
+,S(9b50d1b6,8e3bf795,7cd12f,5a60c26,6c4ef2b7,5ba5c516,c54784a9,4f15d6df,2afc8d09,b79176d8,d003fd2a,4f18d526,403fff27,2d47e778,7376feb7,cbddd8fd)
+,S(3f9083dd,c8b423fe,7de3a822,81d3056a,b8dcb9d7,ee82cb80,6718595f,bae08d32,cb13c152,fd511d91,a9e0ed90,afa021a0,81f77f6d,20cc1376,e2195ffc,f28fa758)
+,S(c75c85c1,ee17c1a2,56eff6bd,592666cb,c9231706,59d50bfa,dbd1074e,f2167faf,1ab4eabe,5e09409d,75cca892,2647f48d,bd698a16,d4f7cc85,96daf169,40023a52)
+,S(c5341fea,f8a0f5d3,b4d0cf0d,2f7aad7c,60ea8e2b,3d4b7fb9,5c68d576,98656045,95f9f4e9,7e5b9f,a48fa422,a26ab982,dc48a4d5,4d712398,6e6d3ab9,74e88915)
+,S(83acda3e,2a8997e0,d52bd4c6,8705dd22,220852b7,752d67fd,8967a032,60c2d89b,dce1bae1,d655ba51,7f5b5580,99711757,a77cd3b,dd4b8e8e,330e9779,1bc31df0)
+,S(5b819146,8b299074,5b9c4164,e29d594c,f1c0d571,6c5d3962,5bd279b3,25237b,cc3636a0,3fddddfa,bed88daa,b081f359,1c48d2ca,71ba34fc,f6989f4a,f7625d8e)
+,S(64778122,214e38ef,f8041796,166104e7,32f5f664,d38d7721,9b89045e,2c3b0e6c,329cf049,7e15eec7,b8eafc4a,b8a7d1c,d8b63203,8d4aef81,974cf984,4611a32d)
+,S(ed4d826a,fe5762f4,79509909,9aee8664,2b475a9d,6da1017c,43d0cb9f,1af12323,8c6f81be,3fafa5ee,c8296f92,8ac7919d,c4d88c9a,59442274,d0531b7b,f7e48e78)
+,S(38b42924,419aecc3,acd6f551,346fd61a,4d82ac2b,55f7afe9,7a06eb40,cd109c4a,7f42c096,2feb2f73,b2b0965a,1f359a6a,de49d768,a2ce6b07,b5acb92b,73e05583)
+,S(c3cad4a8,d8bb94a7,b434cf70,183e8615,bb2a8f62,24f216e3,446ac2e9,82138911,f649be27,8cad9764,20742ce3,82dce3a1,420e372e,f1b25b27,59a8ed38,7282765e)
+,S(2d408ff4,d3d236fd,54fae40d,ce3ea9ec,d9212e57,36591a9e,55588e4a,54bd6538,d596adf0,e8692a06,bc6284bf,299bef6,85e2a171,585aa132,4b9a05b5,ce815b7)
+,S(ee7adf6d,247f25fb,76e90cf8,13f888eb,d67423a3,a3c6fdae,bafb7eaa,7a33c854,e077184b,4ae8f705,6c10dd9e,f541689d,143f6871,789e1801,deaefc1d,527a8fb4)
+,S(2f9457c8,a9ffaca1,3d91151d,c4c5e89d,dd5d37a3,7c9a864b,7c811f3e,1144b34,eb4c9848,9093d573,a295407e,1d6fc48a,787120ce,b3d3dcfb,b40634e0,e75e221d)
+,S(d3f332b8,a0f11582,1ce3478c,efe18de3,60120483,ef531c27,7b30c46e,b7fec294,ea75b9b2,5d717861,d1af1c01,9c372941,c8968b90,ef134f9f,323215e1,bb0b2155)
+,S(183408d3,38b05aad,3521fcd8,6ef36dd7,5f3ddb86,66b52f7e,9a4cdf1f,8e152b91,66998520,6edf4ac6,f39be21f,20c98824,210e204c,e4499809,5de35537,1641218c)
+,S(283fec5d,b1145e53,ba8f1f0f,f9cf89a7,21faffd6,c2534686,3d395609,5f40374e,70b01237,74af550e,68e68e5f,65ca6e98,8846e03,cf39af77,8511be82,bc32fefe)
+,S(ce7570a,4f943cfa,413bd249,d8e7dbfc,ebc73579,770fd6da,f54a0dfb,dd52fa62,e115b14b,ef4695cf,fb85bdf9,8ba3985c,bd5e5b89,83e05390,7c36f9ce,8b75d41d)
+,S(7e9c4f19,c8f4ec3f,1269f648,cd919525,df790315,74cbeb15,37794a4c,838fd470,e9d9dbfe,8cf5f5cc,a855d6cc,bd11f480,60fafa8d,ad6bd3e9,c86df5ce,b0fa5270)
+,S(e2a9bbe6,d5d5bfe,a7c7f919,df2309f9,ba04f4c,722a3ec2,3bf451b4,64cb001b,e4177ce1,c3cd6ac7,78925bd6,7e72cb77,d1925b91,d06a7f16,98411a47,86393fb0)
+,S(504512a4,3e17ef50,e43bf37d,42a94990,f55e641b,1558c265,e7099002,75271012,954a5fd8,57ba3acf,2d4b1f41,e8e1f2cd,1f21c4b9,6899781b,742a49d2,e61ed18b)
+,S(81d1f013,a6bb325f,4b2d1d51,ba72c721,859945d8,a17b3411,cd5cbe87,285f850d,2d5d2fb1,f0c30855,3b1fe249,298b2059,259d3d49,d4d7071a,dce4bcc5,dc937193)
+,S(5b66c2df,c1d28266,18a87276,7e66c33d,d90dd514,14a3b87c,a733383d,1d895022,9bd0178e,38189569,2217267b,7407e987,27fcaeda,12d8cf54,49eb5472,d554e0ff)
+,S(aeb5f70e,98ec5e38,dbd2d544,bdbff8ab,99b583d9,af58c597,afaf8688,20381186,618bd6b0,d25ca70d,f08b7692,9336e421,691b0973,f2f5a05,2e7adc17,3584427b)
+,S(b289eff,e841943b,84761e3c,67a9c02a,557679ca,76ad753a,707a9821,2505052e,7a981f0,c21862a8,53b4f895,dc62482c,530ed738,5e5d1e33,cfb9d0f,e879992c)
+,S(abae3945,8b12199e,6b0c8360,cfd28288,3f585917,e44e1200,f81bd356,f619291c,adb23bcd,b3d069c5,e83be30b,2469b068,b2a81b7,b667e934,233b75ef,b5753f28)
+,S(4a9583a6,485b5a5a,81ac224a,518eb29d,1e0f658c,8d91b013,9419c809,55fbacaa,d8003c9e,e3c842f5,ede375a8,a7768db4,803ecf11,9b7b37de,cea15631,b4e8dbca)
+,S(d52f630e,dba6f7cb,65fcf465,44ab0d9e,ea236ac1,460f17ae,3a210102,10ebc169,21155748,9fa93b88,3e5bea50,da005c53,68e21a0c,41bc83d9,145c13e1,370d26d0)
+,S(bdc5237,82c75858,f5c50fc0,52e4c1e9,c74a2a63,35bca9bf,8d10e120,9add6a4d,abb1d9f8,74637668,e214efba,fbf529d3,12ff023b,c1d5723e,58540436,6834f189)
+,S(44770a33,8bf0aab8,3bb64e47,6eb6167a,88156d16,8f13ce86,26ee0912,e59ad087,5b5930f1,2e9c40bc,b3393a89,5c2d6457,6a3abd23,b7291b99,c965c33d,ef60a55c)
+,S(b15e7b32,2e404aee,319ac203,23e36672,6503108d,8ee8e1c8,3e32d924,515e1679,5246a819,bbfb291,5f82ed56,50796f50,5ced5c25,87347d57,a873ceaf,3d997e7a)
+,S(a1ed7557,5225cd0,f2c50f75,8a1c1df9,665ae108,d5e04190,27bbd9ae,ddb00f22,3c83145d,ad9f8748,7b97e746,4850ed02,d71dbd04,93281a1,3d212776,6a791ee2)
+,S(e8aaf361,6a1bc60f,d9bfc43c,2c60580f,479e9ec9,c23a37a2,3cf8afb3,1d918af5,6ce693b6,4a37c672,7e141041,ab9a0d58,9ab9c303,a5ac3d3e,c89b6f27,9e79827c)
+,S(5dc6f8cd,2c855e63,52a4a4ef,6187a6d6,759c043,38a3db76,c5a3aa37,54c20a3,f602c342,8593a9a8,d671d1bc,7c1d8834,fe9f5f5,2e6a7f0f,bb870146,4e6f4838)
+,S(63327311,67bed8af,68a063ef,22aa489c,f6563620,461af26a,5f1a07cb,6b42f3a6,b8f7c3b2,20701320,f20ca036,761d3e56,bf94a700,9a919f1a,3ea0cb81,b74424a6)
+,S(8a40d925,9a393b38,2305c201,7e8654db,ad66e50a,d798a0d3,535230f9,48080263,afb6a74d,9849454e,dd7f703a,5c6616d1,43f9cbcc,9a9a5d6f,6a7b5d1f,9d9fcaff)
+,S(e7147107,27c7420a,f517fd3f,9a05b7de,a6a02c8b,cc20b17d,cdfdeaf8,2078645a,da7d67cb,c1ede9d4,fedd5dcd,c96b04f9,a3561ba0,2581b055,eaa144eb,4217daca)
+,S(6131291c,d95fb878,1e42a68,553952c2,9922bce8,91c026c0,cae1f69c,9661c82d,160e1c1c,13342fd4,59d4f989,8ae632b8,42b89479,13733b89,384fc104,2d30bf01)
+,S(4bc4f845,b6764692,d0a9bfa8,1788809e,fc5e2aa9,da5003bf,b782bcf1,d1ca4951,87092dcb,b9c3d254,e3b055ff,3a76ec05,64c4a7c5,7fb1783c,efdc40fc,10b751f0)
+,S(45a880a2,7bbee9df,29f9bff5,c985f364,52865b5d,582a201f,698e6eca,a2be67df,fe49a6a8,b5e46bf1,ef679714,dabd590e,a831d46b,8ee94eb6,13132ba3,7855fabb)
+,S(6a826a38,317c0c86,64d6847a,220145d1,877e5495,b21500d3,f21f1a0d,4af4f2a4,4521954e,fcc98263,df2f14e0,e6e6b47a,f6b83f0b,bc20722c,15445f87,e05f4513)
+,S(15356506,f255f7e9,6cc8aa1b,9dce572,8bd860de,7c6cc75f,613e8a34,366a23a9,cd15abbc,d744d485,d5e401f,1f89a5df,122f37b4,e362b4ce,e3e53b1c,110bf3)
+,S(f3bc12ae,f53d9f5f,6b865178,2dac2ec,cacff3a5,cca6443a,2b5e1ca0,f2b89b91,cfd4d36b,eb2e11f2,41fd0f36,7a0737ad,303e915f,f247f131,368ca509,18e00957)
+,S(7e3c8c6d,fa04a536,f7a26ef1,8b387649,22320bef,58453373,6f728297,335c0fd4,72ea16b5,32a7336d,3332400b,303c0236,b6a1294d,88ce7fe9,15571284,d1f7c189)
+,S(198cbfcf,a0575fc2,c161c696,d85155fe,6943ab9b,d6e17223,d8844608,ad0369d8,d5e6268b,30952422,be59fe0e,fe7ba2e7,3215994,827a46c2,f2972b26,153cf7ae)
+,S(1e056e89,b68cf35a,22183c08,9089b90d,5a147caa,780b1fd6,3aeb1350,afb0e5e8,b8241453,abc44c57,ddad6ff3,86d416f4,3e258a39,c6f8837,9f80472b,943f32b9)
+,S(dc7ff974,8d827e7e,a6173b2f,1a646d47,d8108144,ce7f98fb,3fac729e,72faaa21,c1fdac5a,ef4c6f0f,fcb8e1c5,c4417c71,3e3d5f07,146daa1a,aaf2e7fe,e70c4914)
+,S(71b95efc,c4981e07,5354bc1,1cdfbc48,36b2eff0,bf8f8ec2,9a99da1b,2fd28e79,fd5a3197,6fad6aee,c304752c,c3ebbc51,1f3695b0,9a737fa3,af42cc6,efd684cc)
+,S(43854caf,29dc2bd6,c9f3e8ff,a25bba83,f6b96121,897044ae,6876883a,de542b3a,56365176,897632f,8dde3167,7a24f558,34c5c9a5,5c1cbf36,fd8b4480,3c9c6c81)
+,S(2adfe17,90e9f9c,708c9b73,d5fd084,b6eff990,fb877961,45c2ecf2,d427b222,b5ce3160,5d6dd9c6,22cae425,ccd28912,c4439820,c06950cd,4c86d9b4,53abd7ed)
+,S(a123452c,2b7eaf31,15b3a534,3b3ff31a,9f70c54,ae33c620,471e3e82,27a9d6f9,933d3483,78a71f44,3788194a,afc545e7,f53e37a6,f779f96e,8fa14ccd,ede3b4eb)
+,S(9b89a3c2,ca995a81,86c15217,61348737,aab166ae,7decca60,3d06e32c,cec0a6ab,2a7d3701,a8724b12,bd7c4830,224ac083,cbea83d0,543b5414,80ba8c8a,e7731232)
+,S(64dd7457,e7d9d739,8e2b9a0,dc45272b,384b0433,9ed8b2ed,c9079646,11e9e9b2,ea90f8aa,e214ee16,ed608a72,36699899,4e311dc7,780ef885,b29290c3,823c470e)
+,S(59227431,be607c6b,d327fd71,4eb71c87,20abba42,1c7f550a,6b35767d,6fa2176c,cb7571c4,71c5527,65bd289e,a3cf3f38,796da2b1,2c953d0b,8705125c,4861d598)
+,S(53d765cd,adb26e9e,1c80ddf1,99374363,843b7d08,a7237bdc,8c5106ef,795fe2c2,7bbbb198,eb39973b,76d87f81,94d45150,a66d4f3b,128a40be,c989a405,ad7c287b)
+,S(e507de9e,c16b3bf3,523a989c,f5ff6c1,452ee90,9b66ffc1,6d7b519a,57bb66af,a2f2f02a,8272de6e,3dc8b395,8959ad2,51b6d3d0,4c81952,59a501e2,8ff7892a)
+,S(16f48c6,eb84fb2,81903b8c,b9f60b7a,65601d76,e2a57983,5569c983,39b4a6f2,8613bb84,8398681d,66f1e75d,5b6ef44f,d827b629,f4956a4,41d8f503,dd32b289)
+,S(650471ae,774265e3,270b5132,33d12d85,bb98e38,2a3b3af9,cab6339,e1446056,838e7793,34aa6fe6,cae90a62,d359c339,187b4032,15d97cda,4e62724a,a5a50306)
+,S(15dea416,fa34584f,cc90e19d,69825fae,348d1ba1,fd7ac821,559aac2a,bc21dda8,1fcabf2,1e19ce68,ee12a3d2,84bd1304,10fa5f5,d45f9c15,d4070243,a8433047)
+,S(b42b2495,4f1f70ed,3db90087,8357ba46,ee9d6a07,b4f7c751,dc5cba07,b05b46e2,e15723eb,e0bdbe6,d6f28d6d,a0443c63,4851f5b4,c551bec6,9f9196a0,969ed71)
+,S(8e9e4f5,c6aeac31,1dab1125,dec9b460,6ab10b7e,8e250960,a17fc57f,c0230f83,ffb0e211,c79fbb79,78bd4e53,a05a267f,f1e32c34,d6287dee,64576d31,ab959ab2)
+,S(87be7323,73bd4b73,8627fb63,bd4d50bf,d6f2bb81,f804b528,29549fe9,3fe1ac2e,f6a9186f,f147b9b5,ffc844b2,ec0e255a,1ae5537d,75624288,ce8421f8,7e94e1a4)
+,S(43601d61,c8363874,85e9514a,b5c8924d,d2cfd466,af34ac95,2727e1,659d60f7,8791c000,7c09c94d,b328034b,88c5bbbc,11333536,6679eb09,9a5e75b5,83bc2c2a)
+,S(341b1580,f83071c5,365f0bcb,ba66af96,6902e394,2a2560ac,a0daafa3,2ab49d0d,4b985b13,c5499026,7ff564d2,d4649c6f,7e8fdbe1,ba101d94,1c034e14,64877b20)
+,S(175e7cb3,ce4a3a43,7c7181e2,c79fb154,33ac1aa8,e56492eb,57627171,f14dad95,31ce61a8,7834f52e,fcf8703f,93696f42,58130155,63ca5d9c,e92d8fc2,81135b0d)
+,S(5ad430cc,64e61c61,e3b3c848,2ca3ecac,89c1e495,4c80ba98,249e45c1,307165ad,bea2a060,505c13bc,317ca083,c5a8b85c,9ead5f6e,1ac23fbe,ac7cecea,9251c791)
+,S(41dce0d9,6dace318,988602df,7fa84c1,80f0ce3,dd7d09f2,8aefefa6,db8b837,74962c3f,ed9a6e9c,896635ea,855323b6,8850091,f84dee33,3cdff8d0,d2827928)
+,S(a5ef4498,87104dda,103c1dc2,52067643,9aed2d5e,432fe5b,a23cc142,39961bcc,1cbcf83e,a363e0d9,3e6ecc32,8653ba7a,a165c526,765b09f0,696b0d61,f122db3a)
+,S(4da26ece,9ad46003,38bdf68b,852a2cbe,18225f2e,2d6d5e62,6db57235,fb3a9d45,d10b5a63,7ab546bf,cc610e2d,1c3d61f4,61b0a806,e7ba29c7,3d3de909,e9fae659)
+,S(6e621e6f,53d2408e,488d8eb1,6a19a4f7,e9d95585,11e69111,29dedc69,f98f4763,7b148ef2,73e1b131,341ad477,9342c7bc,7b945a2c,b52c448e,4bb5fd50,3cea1a19)
+,S(ebaf5764,5bed7469,9b57ea75,8a395a90,66bae20a,8f082ab6,da4554d5,278be83b,5847f4e0,6c653033,5e29ea94,389ee3e6,d916314a,60126028,650ab9e0,bfcfbba7)
+,S(c0f88a71,711b632d,24b55dbf,52b15d2,faa38ca1,1438c17a,6a6ff635,3310182f,2cbfad4d,16c07021,86611eec,408082fb,fb2e9898,141a5248,1c59e44e,cd0676ff)
+,S(5d9b6c18,84b79498,c6244fbf,262922c6,dc1cddb7,3cf70ae0,1b5287b0,5b5c6350,328e831d,2f2b162c,4abe1644,bb54cc85,18db178c,5b6ae97e,5e85110c,7d7fdf1d)
+,S(d1d1360f,37ed6e69,d4f214c6,323a53b7,e57d7595,55904016,654c49f0,4e02e21c,627eea93,c6c9b53f,94559414,40a8b100,6eba68d4,6c922b6a,1521f394,6dd15e4e)
+,S(efc987cb,f1023af5,58acfa18,97b1b2b2,ace29a83,65674703,e4969ccb,ee411731,195a6a65,d3790bec,71642986,3bcef432,e38242fc,9f565dbb,e159bc42,f5740c69)
+,S(f3026b97,163df3bd,61b88b78,73864480,968d1d7b,83ef6b01,31090faa,18284ff0,177c3a61,682363ab,bf281615,d59f06ff,5f87644c,84d670e9,a6c56ac1,b611509b)
+,S(5d34ff5f,123b5b69,92ac92c6,8c9cff46,deeecf9,68ff830b,5622090d,682c5873,2d1a0b9c,8eaba065,43204df1,48eb1618,25443efa,80f8aff3,d49b6626,c5955ac8)
+,S(cbf9ba17,94a95247,c39da065,84308cc8,e0ee591d,31a9b0bb,dac67280,468447f4,549b18c3,10feaea1,225fade,934112d3,4058101d,74f00538,1b82796a,d0461736)
+,S(920975ba,9e2261b,bf5982a6,b57a7344,8e7747b8,368d7a53,79acacd4,c7dcd31f,e95e0508,81af550d,9221f5a,e9541031,6367d24b,d545bdcb,434e7638,acb46dbd)
+,S(815b2ae4,6fdcb55d,926cdce8,2b4f25d0,39132312,3bc180ff,33fcf132,7eeca64,62f637c6,7d886374,8f1e2e26,865118b9,99285b87,55f25512,c968b4fe,49b8c971)
+,S(1bb9a6c2,8e28d4ba,30ea8639,7a4d387e,27ca8025,da231926,de3c454,f7e0b16e,a0cbc016,5e32171c,8184265e,ac7e0147,206349d5,41035a94,f56efc49,dcd7ab93)
+,S(6f0153fe,dffd83ea,b099d29d,dde278f1,9c05a4ba,78eb4c3d,34d337c6,da68bc22,a532d00d,35013f85,9f4041d3,aa231f2b,9fc49967,e0e2f82,4d5051f9,e7f0c626)
+,S(3454f73b,3bee77a4,d00d384,71bf555a,ed23e5e6,c6dae855,2e9cb7a9,1b20258a,92c20846,cfdf1e8f,3fe5bcaa,6bdedc3,9926833a,3f40d28f,23a8f952,d8d18dde)
+,S(367807c9,a3606b4e,1b8c2616,ad528030,1dfcf686,40eddf02,fc59317c,230e9a86,1f023f2f,a2bbece7,3dba14c,124095cb,fdc4f92f,281a14,8304a412,c16ecae6)
+,S(8ec4fdc3,9891f6af,1374e06f,c44b815,1b82541,75fc4909,acba5941,201af62b,2dc6cae5,cac2d887,83dca0e5,3c798f8,fe067bcf,5fc29751,13756cf7,ef4e5f1b)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 256
+,S(5cc24a6d,4c5b24f9,14542f91,e5fa937f,ffa08551,51b8b842,8729b06a,9178a263,b1da8635,81531a1f,bfb38a4e,419fa1fe,ca8d55a8,3ddbcb98,da19d5cf,fb7da472)
+,S(83905926,c03905c3,a9644a6c,da810dd2,92602a50,50c52a21,9134fc4d,e3599e9f,4293260f,e8af6792,a20b115e,aa837638,9094298b,21d9de16,cf20e0c5,7a46089a)
+,S(944b097e,4721e9dd,f8204ac3,d3878fa,e8fa6c14,34ae4822,481b2985,6589b6c7,5fc47565,30e9b095,f8b79643,1e745b99,1525bd4c,4764e8e,e8af4b96,9bd6ddf6)
+,S(ab0b4a3f,cfb7c134,e1caaf04,a63a7331,17327a1e,5fa90301,7b5ebbf,3423b73d,e1e79263,a5bbba8a,cd78c92c,faeccd3a,b84944d3,785c0781,3763bf1a,ce96c9da)
+,S(57a344b5,220f2b0e,f7bf7fbf,5a2e4e7,1aa2c3d8,7bf090bc,f803dfee,fe8b85f,f82b7d0e,8ef9620,e48c9f13,53a72a95,a9e11a3c,1678cf10,576e639b,b1a7d04e)
+,S(6e053e1a,800b7c4c,51f8c4c9,5cf0f4ff,3608e396,ec46188d,a1a9263f,c8d81ac5,86389e98,e3c823c9,e1b5384f,fce428c3,62e36579,7202fdba,dc3d8c49,395e7473)
+,S(62d76406,1804717f,b30d4a7c,7567b545,48a289ec,7f083f1c,59deae25,ce485cb7,f1d6314b,661d1f8d,8531d57b,9470fb53,d1509b2d,a626a0fc,4cafc941,b668be84)
+,S(e5db28f2,219fb2aa,830cf108,bd2449a,5c4d0800,82d34658,9e347f31,dd29250f,c296e646,32f97dd5,ba3b7012,ead44b6f,324fcfd2,f35f8b24,8e58fe68,888bd453)
+,S(4725b3e9,a3d00de4,8a53177c,9fff831f,733ec89b,c2994ab2,3fe815f1,9b32729,ac3b7747,de38c00f,145fdb74,1482bb52,324127cd,2979ee12,d4a9e689,b9f8e778)
+,S(d0d3afb6,492c72e7,394ed918,7013e347,b036b65e,a76e0569,bbe9e346,41d72b3e,2dd3a45b,94aafe07,53061caa,a28560,bd952b0b,2f63f13,96f42fb7,8e02fef3)
+,S(7853e735,d717c857,97b85654,a24acff3,104143ed,cf4b4b4c,7869068f,c304632c,a873d9,e70fd14a,c2777a8f,b5a02922,bae3a31a,14938e69,cb535355,de1efadd)
+,S(6db26b3,7d4fdc59,13a1a01a,14c92356,ee44e2c9,7f9d72ca,7789de33,8ee904a4,14fe2225,bf2ba0cc,28c1c409,e9849c4a,d8adf792,63869b68,54a28ae9,631941fb)
+,S(b52f0869,bb98af3c,b2f7f5c,669fa43e,538e400f,63a9cce6,99aa2ef8,eb2848df,24566b24,55bc454a,e7b378cc,a0e57b6a,8b821c8c,a76fb858,bb616e17,8907be5a)
+,S(8614dde1,1ee6af03,eb34a9e9,970fa7c3,234152c0,1384f7e4,c1e1f93a,197b448,2a1125a2,ac996870,2ba22b5a,d230c40e,4e5c7e55,d8ba6ba1,5e54d3cc,7b72f3cc)
+,S(982a37ae,625f6e5b,78e71c18,f20bdd0,8b3308eb,59d0cab2,dbc20937,938c1cfa,671fe16f,a65128,591249e2,b5070bf,2a689e2b,dd6c57dc,18e5309a,b6a40d0c)
+,S(6bea9305,26b4829c,ec99742f,c9231c00,627a09af,22ca9d9b,4081a2fd,4c3e703a,aec5402a,54517b4c,1f344d14,b1943e69,d7541f10,c45bd483,2b02b059,499a6cc1)
+,S(b5724781,8694487e,7cc188b3,36d116b0,54016a99,20731920,ba7bd29,96583edb,5cbbd186,1f80a4bd,3d58262d,ebc58ffd,1d278fb3,b4d7fec6,208f6286,77845cdc)
+,S(de1ade62,7ba00e91,786f4f53,18ac5392,4df5a534,704edbb6,2e0e9e2d,997c5412,7ef486c5,bf23bfb,fc6dc15a,41c0673f,a9d003e6,e1d09a8e,4bffee9d,ae2021e0)
+,S(3738a57c,b1721c41,9f9e465d,fb80e1d7,33720398,bc01166d,d476d36f,3398c0a0,e1f25bb2,1662b16d,6d28a629,ad84385a,43df566c,52924bfd,11854a78,b70c22f5)
+,S(4cae21c1,6b2a1239,a85575f1,2ddf6daa,1955feb8,b7502e37,6940006e,7a81885d,2affe855,388660d8,27671e89,c82832b2,25fa2c9b,29d559e2,37af565c,b4dc99c3)
+,S(4c511a1f,ba8a0be3,6e37cf55,85bcc3a7,97bfa7ee,1baa6039,5732faf8,dcc2bd7b,ea69f794,5c6babff,23400fd4,a95d6833,abb27269,887c372d,8a6a45ca,b25651af)
+,S(d811d8c4,323b4370,2607c25a,de936c0a,c2e4a44b,2ba51f83,20c5179e,745a7e29,6ff970a2,17bf47f8,da0aeab,cb490e3b,46c6df3f,69f9e93c,3c4dd94a,e7c05345)
+,S(101eb5d3,b5e5aaff,e39bbafd,f13b5ffa,33db68ae,1fb09b0b,1cae25e6,16c43eee,9d6a5514,9867725a,607a1c96,eb03120c,a4970939,34e0cf4a,1631a63a,bac5ddb3)
+,S(89eb1152,b8dde45f,e141f21f,62fead1,ecdc7f70,eff8f968,de21cf8b,72480519,f8a337c4,3181e3d5,69ec99d7,f2bc4770,cb6703a8,63fbd95b,41fdb07c,b697b447)
+,S(53d633f3,f48ea44d,273d8f1e,455019a9,49d95eeb,68de70cd,bd1e964d,9ad0dc16,1b26ed76,964dcf1b,3f7fe6f3,2e6db7e6,8e8ff4ee,48fe63af,48ffd33b,cd1645fe)
+,S(de106910,49891106,59a94d26,b9cedb64,6ce3db4b,8398ad1a,92f8f95f,d8d9be6a,87640b41,dbd99d16,578a3d06,d23d4088,8768a4e6,dcf83e7b,5b9d9133,5eb43d32)
+,S(40ed1e6f,b9ee245,ac189a9a,7809da10,cc6daa7b,41a163ca,f761773c,6af5bea2,ffed1501,7298fb9a,78eb7bdf,1430ac04,82bae82e,a7197adb,50bcc1e1,fc217b2e)
+,S(55faaaee,59a20b9a,3784d171,9ea529cc,1b7ab3a3,29f26dfa,a3b11bd6,67ba15c1,a9f8939b,52ac53e3,5ed4771d,8e47065c,d7f2805,a7e5475c,37353ddf,182f4a65)
+,S(b51de64e,21cf88af,2180ca17,24956d10,a95ac607,f034fccb,a53bd02b,fa8af3fb,175d9b70,1c652ebf,46b99f1f,6e66c4a6,9b840019,a48b1ac4,878b386c,3b7f81e)
+,S(5156b0dc,bcd91e82,4bb235be,9367cf40,7b8927e8,cd874171,556f997b,7b07b143,1d457c0f,a29d4c3f,e65ded19,1127016d,d40ada90,cbb0d8de,c2af4bf8,20cc91dc)
+,S(3bf51d72,60b4973,161fac55,88e441a7,f1993c06,791b6bcd,e11d8e,96dd63d,7bc6b470,90a7afdb,fc63905d,df698499,73e1e4e2,af74f126,63eae8a4,f4722d49)
+,S(d2971091,20088102,1154f4d3,ba6f2da1,22fa74c6,4faae05a,d76db7b0,9ad61fe5,7350ebaa,f2ccf3c8,f940cc14,151c23c2,bc33cb73,65528156,92648f6b,628e3fc8)
+,S(c2ee47ca,8e17112f,a255a520,21ffd30b,6d7a3b7e,2341526c,559b60a9,c768013d,2e6e8b6b,d83b7f5b,1dc8e83b,edb3b23a,80d9ff08,2029831a,45305016,2bece448)
+,S(559998d6,9ddcce0d,9e0da39e,96cc4c00,c5ef444b,561dbaaa,e475adbd,3e70b6cf,c49c2a00,95aeee5b,8deb5e8c,db4d21e4,cf0f3173,1af2fac5,25c534c2,34ffb328)
+,S(4b4b02c3,e4c8badd,e45305c3,9721a98d,7c1955dd,90dcb2f9,e9d54901,6bbaf363,a0b67b7e,be8f59b3,c25d546e,3dc304d,d22a6a64,615bcfb9,25b685e3,18d43468)
+,S(fbafe7fd,7836b427,51cf897c,5d42897c,7650ade8,ee1ed01f,e0d7dd2c,aac549c5,2f511943,52d07e51,7b7841f5,8eda5225,229a7e28,9a453aeb,5e70110e,12668436)
+,S(ccd306f9,c65b8a0,7884e620,b73ac4e6,81b21bd0,2a4b219f,954de1b6,7076c06c,823fa47f,a7b0b50c,907056dc,73e04574,3f68a7,5a4c8566,8ab5f5b1,5657510b)
+,S(bafbd838,995a691d,3b5a870a,7847452d,9124155d,d89a9980,820b8d56,18195a3b,8df4c9fa,c94829ee,fb0e7f52,1020b5b0,4f05f4d5,839c8687,4e893e7d,8ad92a3)
+,S(d125cc3a,8073156e,a166af8,ff940a64,713d8f37,b86919fb,157cc380,224f458f,a030e8b6,ac4e37a7,df01054a,ea23a78e,1bb7a22e,f26052a3,a034ecbc,bc35abde)
+,S(7d491f28,1b5ddaba,ef2c6433,be22e42d,f2d1bbfd,8a7e8866,8cbf278e,cb8187c2,ca18161d,70360966,ca381ea3,f760b2fe,28b040c7,ebc82af9,bea27ba6,f4dfe8ed)
+,S(31ccda33,9f29123a,86c2995c,6a9f4979,6d70a595,5079b961,6015f07b,cdf8c39e,aeb27d0b,edf61fac,99528a9f,f060d1f2,376626b0,bc807a19,561c2e4f,e8b49f65)
+,S(79e64c7,f45f9189,6c92073e,71b76fb1,e5ec912f,de11ba7,d7439f4a,297807ba,57d93436,b354963c,5891abe3,825d89b4,d17685bc,c9632e7e,fe85ded7,5823c921)
+,S(d6232edf,fccb3868,71ef057b,60bda43f,69f422d2,debce06c,78a31f6a,8c42274e,13daefa0,b2e2e09d,36f472f2,29b5f7d1,58a18f63,ac3dc4d6,d62cc7d7,ec0ef826)
+,S(21c0f298,b2d6e3a5,3738fc00,c8289458,722d78d2,48a33ea6,a7ebb667,446e368e,867553ec,17d2fd95,b895eede,15da569e,cbb3f25a,e5f334a2,b20660df,df062383)
+,S(1d1a3d01,dcbf799,d551621c,54f74720,eaa2311c,3fd9b1d0,f4f2caee,4c3196c8,d5a7a115,9900f90c,879b1a30,13945d8c,5453bf1c,7e5e33d,6f8faeae,439734eb)
+,S(57488680,8fa99ede,ca97d1,8582a151,62e26d5c,7753a561,4f4bb1dc,28e76735,debda859,7117ede0,dcc0ecc5,4ec1a494,b3bbee34,95db2b1e,ebaa1db9,2fc17c6f)
+,S(b6dd34d3,4ce1dffa,4e1e820c,4c8bde9f,607194d3,1c1ce07c,9f6fadc8,9791715a,8bf48868,e405d533,2adc0ec9,49bc7cf,1487e554,3a043200,71786521,8a39cc9d)
+,S(90f9ded5,69088772,ca2bc887,1522df9b,5821df6c,9e20b160,f3504bd,4a91d0de,d17e64a,dd534a6e,fdd0af26,b4494339,f76b3c1b,126397f9,a2beba76,eaf902ac)
+,S(c55f34e8,58d19353,9106e4a0,c3002873,db07b239,9b10299d,260acc65,6b2cfa59,7d9f38d4,74b5a22e,72949f7f,e2cefb34,9a8fe1fb,c16b8dda,11f162de,30e50f5b)
+,S(6ae44192,d38981c5,9b3f8452,c4a2b627,f39c16d2,b6f52575,c5f1722,56b8ecad,9bbba8dd,7c49204a,9edc4b91,e38e4973,fa61de1c,eda6ad61,603d9715,7f0b099d)
+,S(33a7d639,423e1b36,6a93ad99,eab6444c,bd0c251f,6cd8b79a,e0344eef,6fdcffbc,c26112cc,6dca2a,fa52684f,c9ed22d3,2f067891,d5bac2c0,2bb86e3b,9411c61e)
+,S(48471331,eac48670,28fa6642,a76ca6c5,3380c1d9,f52a4b2,ea640d47,f159af0a,b4ea8546,93fde01c,fb903a31,18bb61f5,c5047b94,705a714d,5b586d47,a0142704)
+,S(565ac39,9ae731c0,4cffaab7,43d24b71,72defd79,beb8ce86,d46012a5,c2587917,deb56aa5,d45031ea,fc411fec,e09a9646,14664989,fd4f40d7,79c02981,98bbab48)
+,S(964838b5,3b6c2b7d,6a8d017d,c5a32fc,99549094,6dcbf773,eaa7085c,98314c0b,2daf9f3c,ec44034f,c8a71ee0,ee76bd77,ac6fdc9e,fa042a2f,6caf9c5e,fd130b97)
+,S(bc00da90,7b8d078b,9d83522d,ae548b14,6f9bff0d,2ef887c,4aae2f1e,c4eb88d5,6bd0fd11,f9e2db73,65f21dd1,34cb29f6,fef4d7f,b419abef,eafe15a4,20ddb152)
+,S(1a59f855,f89f0c,f13dd8ae,9f5e550c,a2082bb3,27fb111d,75455ab,dba7bea4,7ea2fb40,d460adff,c9e25c53,a65c508,e77e6e76,e2e435c2,150c870a,7600c823)
+,S(7a3b611b,d3bffc6a,d4508162,45695024,452706a3,279a6fda,d88598a5,4eccc764,16e09589,68066e52,c873d6ef,e549d3aa,83d30bd6,a1d730d3,68aa1ad2,32233145)
+,S(2fed5577,9cbe0a5a,786fa95b,5c56e27a,a0a1cc28,51112bef,4cd5e1b7,15d6d91,7eeacc27,b2297fb5,63d691fa,36dc650a,f66fd3e6,6fe5e637,9959d46e,2d4bddfa)
+,S(267ad217,952edf65,673efaea,6bebb44b,18326dd,f1b36d02,f0154a0d,774a9558,77593cc0,7e9d5e5e,688a7b33,bf54a01,703cc9b7,a0485e6d,907515bb,11a13fef)
+,S(eb6ed62c,239b99c8,6978ccec,a5f32145,e0d341b,ca7eab10,6fa05ee1,7f6687e8,ad899e22,50f6a8e8,ce29b225,83ad8755,2a6e6ab8,9061d33b,6629fbfc,52c0a241)
+,S(ca5cf17c,e03d214f,b4ef33c,41686c4f,5087a59b,f88ca7b1,891094d,430a9e5b,17e44eeb,473f75ba,cffae683,c8ea0299,e1935180,7257803e,f9963ad3,d0989ce9)
+,S(4c7bc29c,acf0642e,63f035ec,a93e6b6c,c82f21cf,46623a2f,e4c7215e,51e82f7c,7c55e76e,8756796c,143f64e7,e40a402b,eb537be4,f1f5322,e59d2be2,82776875)
+,S(57cab8e9,b42289f0,503e5013,acf4dd7,79783184,2389fd20,80b61bc3,671058e3,78225318,6671273d,a7b0b884,e72e9bee,2b048c45,9430d2ca,7c398aaa,9fd9e2bc)
+,S(3c2bf23d,f1120c34,de813a82,a56843f5,abf3d272,ed2e6c27,53ff6310,9bc4823e,1759db63,88aed233,ce0c5b47,ec9dcb88,76740928,e12fe9d0,d08eb759,2d3f1990)
+,S(c010a9ac,83e0742a,d3348dc,3dcfddd2,34170aa2,28d36856,d8581b1a,eab38d2,634c97ed,644a68f,e1f1da1f,190cf920,2b2dc810,446b78ea,9cd27684,3c76aafd)
+,S(a4abd9ee,548ba468,e4cb632,b3d9c8a9,4f1b773f,ba3a9660,5504593a,92071994,3a14266a,ba263297,fc6ab00a,8403565d,c9390b48,ebffcb61,11b5e8ef,c8f87182)
+,S(dc02c852,efc115f1,c5c08540,deceffe5,d68b82e5,99b78711,5a7a333d,e8dda172,e4e6593a,8e1ae842,ca7f4eae,d8cccaa2,8a35f8dc,cb8549ba,2367faf5,5f6c29c6)
+,S(ee4769e8,223822ff,c28a5a4b,5f29fd7c,a54fc81,72175cac,1b6db5a2,91ec57c8,fca2c6bc,4076c8eb,a0978b9a,2b0158c4,33890514,28094619,38413fe6,c020385f)
+,S(f3006c1d,34910c0f,d435a6de,cf088c38,2cf990cf,3124f2ab,b11d2727,d93ef066,7629f5,aa367f51,a29ebaf1,235cf267,f8016a6c,88dfcd9b,82d36904,c949eae2)
+,S(7cfb203d,7bf5669,129f0a3e,325c3fd6,b1b9c804,4932f0f3,794b9357,1e7313b7,4f76b9fd,24339c38,c88c4217,387b016d,e4ae08fe,67182d39,82a45bb4,e82bc60f)
+,S(cca3ce0,36e00993,9d30be8,e70455ad,efeabe71,83aeb206,a324d0eb,32312c0a,9674ae58,fe947c6d,34c63725,2058c88c,91b437dd,98da58b2,efd7e8d,1615b9e5)
+,S(9fb64148,81cd5c27,82da071c,1f98d71,d9815fd2,2389d212,c66ace66,ab0d9c8,4c25454,1a513742,5f75e515,c04f1c73,d11d5047,9c76b09b,ce23c13e,d1813251)
+,S(1dbbebf,3e3d459,10d39de2,32560b4d,eb5d2ad8,6aa1542,c2c070b6,51558b25,ec68e71c,2e94e490,4194753f,d7484ca1,940eae51,69831876,877b9ce7,2d0b9db1)
+,S(7751d219,92f47421,7742856b,4c84d41,5a890ee9,24185e21,5a210a3f,a46bb5f7,2915a9c5,b770c86c,edd32749,3f698c17,6371f6a1,4cac5a22,73a3c648,1b237fef)
+,S(39a849a0,5b189c3e,20782983,ecf664b1,e7b89c96,4e11d737,70797fca,ecf36a2d,d3e6f8f1,6191db06,be2274d1,56685895,48e69253,54f41114,f43b5ed1,13690c5)
+,S(67e56125,b29ced20,f9f95522,d412d67c,80e3d628,b8bfddea,768117cb,e79b25bb,608dfc15,7e3c23f4,4aa0fd88,3d02d293,3c83edcf,66ea57f,9167b712,8d03da21)
+,S(a51aeda,2f7d59d,d31eec20,e95839f6,ecdd01ef,529327bb,5cb229b7,b78f1525,704967df,93fb862b,3d38b18f,4c6818ab,6621c7d0,80d92cdd,1f0092c0,d7847903)
+,S(c980693e,73a1cb46,f5eb71b7,73b00389,f8bcb36f,fb489e7a,aae64c23,6ac1745d,bf3b808e,fe6b7efb,771853e5,6fbba6e8,b3b21fef,706bd4,274cc058,b6fae474)
+,S(c78df930,bcf54c1c,28e27aab,2975e9f3,94167bd2,948d4713,6b17a374,a1391a9,9a424f36,6d3a79be,55bb5e9a,283be1e0,163bfe22,1bc65e5e,318f0de,304d9ae7)
+,S(9a75f7bc,c6d2f3a9,e6168ebc,8f7f1e50,a998b1e4,e67316e5,fb242fc4,6d284089,cb478e6,dff8b9aa,3ad06c6e,8fc7e35a,39bf6ec3,787977bf,d40f3159,bf169e01)
+,S(76b2131a,db0bb3e7,db48277d,95ce73e4,7eba1e7c,b6f801c0,d20b71a3,8b6e6224,32e3cda,ef60e55b,a9e36e6,cd287737,196c5af8,120c47b2,f79d2492,9979263a)
+,S(21898361,4ec5971d,f55f96c9,3da89483,cdcc4c46,deb8de68,f32a42b3,5c1384e1,2c396c50,44a4953a,b22a2d22,47769741,c5eda54a,d9c9ac97,d6486b5f,126dac3e)
+,S(ac0b0a49,4e9d180d,101dbe1c,a528fecb,a08449a6,cf5d82a9,aa14f875,e3db8adc,26d1d412,25a1b583,2dd53b9c,56a6a8e8,371dd19f,31462dd9,b2aefe3e,70412554)
+,S(f869b58c,851a65f,bd6d3329,75f596a2,9d1a78cd,bbf04a1b,6dca6c27,30e04625,40dee344,fc6f5c72,c18b1603,e149949c,a0cfb31b,b8b91b09,c3cbabb0,c6a5bff0)
+,S(f74f02db,2406250f,8984a5f2,273c63ed,a640a43a,8e7d72aa,ecf78d6e,b9544c3a,882e3a6d,cacc1e92,8a3c1a61,85f2bcf1,5e364f7a,1eeeaaea,1c0af593,cf86185b)
+,S(c0613eb6,1d6755eb,2ebc9284,a0aa69d2,88c39050,4b7e869f,f3d943aa,67ea65d,72f61ae5,27b5c82e,4afa8966,55d9289d,29931c1b,f0d36c09,fe4213c5,27848cba)
+,S(eb66ff98,60ba08a6,3c0fd8c4,7117aeb0,ae0dbf63,524307a7,eb739f08,f31285db,c3142ca,54bcf2ae,8b05dfb9,4e40f4ba,7d3662f3,774e616,55c7515a,87ddc5d5)
+,S(3a7108e6,a1256061,fc25d58b,ca534602,e41c6b15,156c15b8,71a516f0,ec4a861d,daae2d02,41cabb2,191b5be,c17e7e88,957bfcd7,66df1226,a183064e,3c4393a6)
+,S(d17e3a58,c83169d1,33ee7371,7b205f2c,ea1a2ff3,4e744958,949e9403,b8f89d5f,98c35f7d,69e5d98b,920ffafa,6d15d349,2d75fcb9,81ca5022,5ac7ff32,618b1a20)
+,S(d6e32892,cefbb8ed,14350cbf,2618e2fe,98caf6d4,f7679385,fff36bab,bf6541c,7175462e,be0f5ec0,7872b55,356f2498,976196bc,edbe021e,8081ebd,b2636298)
+,S(318d49ff,60e900ae,6e8e2182,f38ec006,82ddc8ae,93aa6291,86d5ddf8,affef75,6e97ec27,dd7d614d,c1ed4fd8,fdf6aa70,8dcc3eb,be288831,a9888166,66333b2)
+,S(fd6f9e30,1772db8b,a68ea5ae,b585abbd,c075e72b,68d6f67c,5a2f8144,98cf6346,dadd16e7,64775bd5,ca5c5f51,35843556,d7608230,aaff4125,4d4eab38,1d28d2c0)
+,S(8fe25b38,a2c74761,a90ed08d,4bce768c,f074282a,e9560d31,566ae43a,182ddd36,6ee1e84a,77c6ab78,a2cda1b3,2fbdfe2e,51d66843,271d15c7,3f8e1a82,1e4c23a2)
+,S(37cf0ed2,88ed8fef,4ae17bcf,f6bfb815,3e12bab2,a46d7e5d,2e6feb99,9793bef8,92e7a57,18eb0751,c99254f4,ddb5c278,e17a417b,21793339,119a146d,bbe3e0d3)
+,S(688c2061,6b9d0c8,76deb812,b60000e8,eca0e04f,531ed1e0,9158442,7bf403c,bab4b2ba,41ba4d53,df512e76,32200bdc,11d8583,f2ceb5bd,a8b7eb14,5ccc01fe)
+,S(4b4caaaa,f5399535,d822371d,63965216,d1b53584,d89a84e9,d868395a,70b3d804,3ddd27af,cd18049a,3b01d043,7761e4ea,652fbd91,115c470a,e4c7bd40,51ee73d2)
+,S(6f5acbc4,4135da60,758ed9a5,18b39b5f,47cca398,24e20e56,1444dd52,e2fa1d2e,5dc9d46,e5f6d94d,48af2efc,2f197a2,f729f1d7,335fa569,524d37c,4acd58c4)
+,S(79d2d449,3dffcb91,6fda527b,f8b6b622,661d6f23,738288c6,ce94313d,c267fc42,b2683bf1,3fa8f7fc,be302823,dfbc9153,8d902791,d5d6dde1,d2805f37,a0c08db)
+,S(33a8e87e,246b7b9c,9c77a6b0,7cc67d41,f3915dbc,2180118,c0800b33,f9f95524,baa8244c,584fd05f,2655e36b,e2e5c459,207d30ef,dcdb2294,70b34333,9d16ff8f)
+,S(9a169132,f3887df8,20561a7a,e4bd5461,3235ddb2,fba7a19,3f4daaba,79868e95,686fc317,995446c4,42945216,1a96595a,a233b100,e5f8bbc0,71990229,44630bcd)
+,S(790b74f4,8405ce3f,9abdc7e9,439f2f5,c859989e,2ca5e6fc,29046104,8783ac42,8961c913,562385ca,990593a3,77111a5d,1dc6762b,b1a928a6,6ebb304b,8a24a701)
+,S(e2a3d0cf,ae1fc2d9,87caaeb6,9f32fcd6,95471785,f524e438,b5487aa3,72f9e49c,9cc24205,ecf2708c,357edb54,308ce452,11f7dc03,98fb48db,4982d337,14c93046)
+,S(cb30c43,5992c195,76d372b1,96f2ae68,cfd2653e,63e3ba7a,2b3c21ec,960bcbea,f65735b9,708338c9,acc9cba1,4b491b8a,fb683058,266a483d,4987cdd3,89ccd0b4)
+,S(1faedc95,d6310bee,6298ffb1,6fb3e6a3,296ca66b,7c995d2d,fe924381,10e8b46a,35039e3f,8201e904,e5378d03,2bd8b766,26d9f0ce,4425d2ce,e7bbd24f,b8725089)
+,S(a646cf5a,2be8c1d1,3f05410c,ed51b3f5,8e93ea53,1e28bf31,8f6c750b,52b3e8f9,58c58ecb,7727a920,b47a7e78,e1e51d11,e427d7e4,465429bd,a01f4650,a4c102bb)
+,S(32734727,18537d38,e9b8c397,a5cc322d,1c77c0c6,15eded39,dcebc020,debe2205,c2debc89,58c3f60b,d4c7b072,d475a7d5,c1ea784b,c3e532bb,72c02490,9a42d65)
+,S(16a1a718,855a212,c068c095,d930a270,9906dd22,e7db3f4d,4ce2f393,d572827e,d389d64b,b30ba9eb,6ce80335,cbe8f7dd,b1ef3016,a8b74660,2196b724,d115605c)
+,S(b4bf4d14,5de25571,33694b86,76166e90,eeb1ebf8,4a7402e9,a61af4cf,23687596,49db20a4,d82397e5,6318640a,6b605e96,37d38961,a58ae3db,fac2fc11,bbd11242)
+,S(d4ed67a9,ccf4665e,418a0de0,8d9380cb,fc311413,e90a964b,bf367b9b,b892630,8ff7e57c,e79a0883,1fe8a972,92493764,7472b77,61b055fa,37105d18,b51df131)
+,S(8ad256f1,9f413ef2,eae906f,c1c2ca4,44d5dfdc,f916d366,b32f1f47,f54fe70d,bdeeeb41,8d2c4dc5,82547f65,91c97219,34778f5e,d25eff4,94e243ed,a6d34da7)
+,S(8dd3e2fa,fe55b5f1,f13723e0,1a5587b9,c67d22ee,21f1f62f,7f62a15,31f17f8e,aa23d2a4,7d6b717e,55d7c6b6,5d9c46c6,8f2db41c,ba66960b,4b4bf93f,5fc88cb0)
+,S(44fd9e28,2a8e30af,ac34db01,a7b0e939,3c13917,554d9a67,8e577a5d,4b3d0f6,cb079061,353319b3,a1669d59,295bdbe2,18927d06,ccb1290e,4840cc16,911a61d0)
+,S(5d249a02,4464ed65,831d2aa9,c9645f46,2db7c9f4,e5a46477,746b1a71,88b7aa42,2bff7386,527d6b5c,2c595f80,e08b4d20,23bb8dfb,f294da12,b54f8b14,77281d0)
+,S(d98eb458,1edcd51d,465e123c,d891c481,ddd18b54,b9408ca,85ac47c8,e10fb23,15bfd3be,d3756ac6,f2f1f9e6,f254c9b,2b153717,1b265081,6a2cc21b,78b4dcf2)
+,S(2f12c369,19a2aeb6,2132134d,2e85150f,6edb486e,9d672eb5,876804d6,44db6082,c0111edd,3b4d28c4,edd264b8,dc2bd0e3,20834dc7,bda82dd0,827133c5,7f8cf73b)
+,S(4d949684,7099c9f8,421d35df,ebce57aa,71326034,8f07e3e6,f03017c3,144b4624,9afb5a57,d71369c7,28db308f,b8b07da0,b91f954d,b182eadb,126b1fff,ddb673da)
+,S(cf1db910,5e95f1c8,e360b39a,752ab17e,fca8f24,d9ddc8b2,a9768700,e2af2466,e7c99f66,c49c8674,a6c1b94b,4b964019,5e645ca7,b3d2e004,ad8dc73,f647ca5f)
+,S(e71eb425,7d2ffa8a,b79d63a2,42c67585,d4b1747f,5b27f22,a9ee4284,6aa62b85,a906aeec,f901a376,7d721f45,da53e342,3bc0a779,870e33c3,d10f6426,6a2c8865)
+,S(bcd987d3,b2575f4,3bc5c3e1,b4a299bf,21c58b6c,a27ebb21,8f9882ab,30559887,403804c9,4339ae27,2bafd894,e63a4eb4,690c1b4c,9289db00,761e9b3a,1d483f65)
+,S(b74d5cf7,48af7162,395d2d5e,8a69f740,7a2bebba,69564042,ea9c7e34,b1f8cab0,b5c5fddb,332bfb59,835e9a23,4afa4543,5728dfaa,7dcfca3e,a3c57deb,e849b336)
+,S(46f3def5,9835c9ae,1a7b3b13,a920bea9,e9bc12ee,633b3edc,57251b72,3560837d,587b2e1f,2e8eb9cb,37aa6977,870214ec,818fb71c,1035eeca,91d53e68,150ce67b)
+,S(8d3418fd,eb3f0968,de51f4d7,cbb60299,a50ceba4,1915d8b6,5774cfb7,7667d572,cee79910,16a28462,aa9da7c0,f67b4c7,e8b3dd38,f4b2203,9d05115a,ac661db8)
+,S(98cb0f09,4510695d,78a0a672,eb67253a,30f4327b,7864fbcf,529cf212,ad6f7c10,25952dac,4e1b5035,9b47e9b5,52852d1f,300fde75,a6bd532f,9fd56af,2a0ab333)
+,S(96045e4c,ca075fc,4a5383f3,f03de105,a34c7c4c,b030ceff,b58b98e1,2b39a3cf,f527b8fd,92234151,ba11f24f,7bd5dfed,6ebd03e3,a5048c6e,8f2d5231,7201bafe)
+,S(f262e891,42addef8,cba26a9c,ad779761,c3f4b3e5,5990a93e,703bf56a,99cc6030,275cc764,86c86a90,f597dd6,7092ecff,5382c7b7,33939ca1,d1f3218d,6f0b594b)
+,S(cd79c02,ee175336,5f9f7900,be51bb2b,ad75ef81,3c6c5634,7cc717db,156d17fe,b5ebe8ff,b30de5bd,a5326044,16abbae1,4ff9198e,b491794a,c4500031,947a985d)
+,S(28b4bf22,5b1d40dd,e0122e03,e630830a,d9ba4629,cc51c9d2,80a225f9,48f858f4,24756189,98bb414d,4a534c6b,e300297b,aadf4ffc,b10e6795,4ea36e25,2cf3cac0)
+,S(f018f206,7dd55df3,9c53344b,c6128a5f,cc765c36,c7b0bea0,16c8465c,c6ed2ff7,d9fc5ab2,cd619d4a,c66c1cd2,251504cc,cda34a76,86c5661a,960a00f8,e4aa7e66)
+,S(496968cf,8086d02,9a5dd5c7,4f47cbda,7f661ef1,488b3942,18ed886c,424a7a13,d7d8df98,442060e0,f17a363,579c6600,360b5124,2774e2df,c8d4b787,1e1874e7)
+,S(242d4c59,e9113b77,68e48574,93600da7,b984355c,a1d07949,8921016b,22efedab,470dcfd7,b0c8c2ed,63a28074,a505573b,42f50920,6b0ae577,27a8b796,7a0f42b1)
+,S(b6b804cc,1a1a59d3,84c4afac,c5e5050f,466280bc,d5ab1586,1d20f4dd,1385e8c7,2f789346,2a636a9,9ba2a1d2,32829f41,39b57967,bb26d0c,898798bb,6521d439)
+,S(dc30a3d0,7ecc5fdd,38b8048a,f281024b,46904b2d,2a4c51ca,d1b49b7,1d918a4e,326409b0,70550e97,58f53698,7936a54a,b701f7b6,78a7d10f,ebb511a6,c18cc917)
+,S(e1fe434d,345bf330,83abb628,f4f44ac,5fb22934,977813c2,c015f2b,43d3fab8,1b251ca5,2af897ac,4c08df48,ce3d1607,d3b31b2c,2dcd7f7a,59a95b07,774c4d83)
+,S(a8ed88da,e08ac5e2,afbe4a40,ee775645,82c2f513,cfd72060,bd1fd5d1,76fb8d08,f4fb60b0,74419630,fbaf5b53,717b2a6f,5cc2d98f,1d29481b,77b1f9f3,84175729)
+,S(b52cf828,de1e9cd7,c95c083e,ec50d228,8e770713,a0e2543f,76fa5790,2c7c6481,635a3953,46fbbf,903dc729,d3e3b52b,43eebdc5,3748ed83,3c95eaf7,1b75790f)
+,S(702079ae,f76d9bfd,ccb957a9,4aad93fc,b1297c54,d634978e,4dc78292,161d5e83,4983c08b,f2d81c52,d3b3a202,e0c6ddb9,32a43a45,c4b95f82,c8c10642,5a783b52)
+,S(4638d4d1,8e9de1ce,ef4fe8cb,db4378e2,3ed3dcb9,513cc9a0,dd73ee2e,be57bbf5,561ee032,45cc3066,968853f7,51fa36be,cb50740,a5951e87,cf77ef20,cb27e110)
+,S(eeb34eb7,5facadde,d561dc5e,e3d0a039,d98e4880,910439cb,ecfb22d9,3b386bfc,f2b23cff,5ebdc8c,558db8c,1c311a94,e9d8f63a,d1cf4af4,c21c2349,a6e57c4c)
+,S(7f2c6e5,becf3213,c1d07df0,cfbe8e39,f70a8c64,3df7575e,5c56859e,c52c45ca,950499c0,19719dae,fda0424,8d851e52,cf9d66ee,b211d89a,77be40de,22b6c89d)
+,S(6ec76722,1ec5d27c,f7e11064,d4f8b016,3cea090f,6a950f81,85623303,23e53647,9b03c757,9704e839,c8eec7d0,f063c4fd,d0aa7ba0,5ad75254,984b1703,ae69a3d6)
+,S(98f6f69d,320d5eca,1f184b0,378f67cd,b44a707a,c5b2af54,99e9f8a4,524dea7e,26ef6b3d,7b037663,979333fe,56bc33a,ca54a3dd,78c9244d,79ef5426,f2b69a02)
+,S(cf1ef445,58b82c76,5d77ac99,8c0170c9,2d308668,2d9ed7af,2961cf05,5b47e390,8bcc1d05,fb880ec7,8762d8f3,f5afefe8,f4345bd8,36397d23,befdf446,498511c3)
+,S(10e01651,efa26f2e,f88cc5c1,594f378,9ab62b82,5a0875aa,37c280a1,8c6f07e8,2e6a15e1,1f776335,30fb2cdb,788aaa98,83105da3,7e28c0a,8fad503e,b9779df2)
+,S(b94e2fe0,41ce209b,6efd77d7,44983130,af90945,120b9a58,5427966,e93eee4a,8f7abf1,103e92f5,5dcb1dde,746df10d,a86bfb8d,2776a0f0,1d07142d,c9bca443)
+,S(cf9e7d02,c671a9ea,145d233e,244d8af6,6d71cc34,e17f2ccc,1225d2b3,16d41154,82eeb8a1,f0b966f,bbc3858a,3878f969,a853e2bb,e1b60c4e,e13eff85,d2d2ca7)
+,S(da3a3c29,94ad3b91,319d18eb,dcf4b934,df8e4f2b,e052f436,6d539aff,4bd48bb2,28f9d653,c4042478,831ccfe7,bec86663,5e0d32ed,f6db4f54,25669a91,d1dc0193)
+,S(ab812818,2b80378b,d914c9fc,d2831f30,a0a095c9,d0e52450,d4ba27b0,f1eec101,5abc582,274876d6,3dce366a,fbb1d80a,2286dc2a,dc0c078f,1424d45e,26666b3)
+,S(ea5b82a2,bf02caa5,d5d64391,c0965c53,f0edd967,f8df94ab,831408f7,e5c4977a,81fe8299,f320837,acddd504,7b888e6,2518d53e,897dacac,5d28bce8,ff3d9339)
+,S(50605c0b,ab201d7d,3dd618b,e3da2d29,318aeac1,7df58d2c,a95b8fbc,fbe70fa2,e50b1e,7b5693,c4ecc160,d928cd6e,d4c978fc,6c2a68af,c03f397d,72a60383)
+,S(f76c50b6,6d7dcace,f45409d8,854f79b6,51356661,108b7168,31b58b25,ea1191dd,7d055b74,b0195140,bc0e2e93,a97f07b3,a3040148,7720df86,d3bd1810,6df3cc72)
+,S(de5053ba,d716047c,cc2367db,272e4e11,41312690,2bd79b32,f6d3d959,93260e7d,1c54a2d3,9c34b0db,deb61b5,b5f46033,b1e4c581,5113bf3,d3f38de1,c97cc7e2)
+,S(ad3e719f,180e946b,1b98a332,bde18e54,437f1a24,949d712,1aff7c8d,fa06499d,b458d7f1,390fa4d7,d2473863,abedc063,ef310adf,7ca2f2c8,82bcad3e,2f1b554)
+,S(270a0234,5560af6b,6310c867,332f8b79,839a3ae7,6e2666ec,b46c840c,c36bae4b,8daab84b,92157d16,ca0f160,99877a1,ef7ef072,1bdb5bc6,89d16a19,4ebedeaf)
+,S(eb5ed17e,3027c9c4,c87ffdb2,94a84ff7,25ba2b5b,2bf72d30,f98334ee,68624621,39fffcb3,8f74d471,9be8d1a2,14c61ad3,df4a91bf,d599c3ae,3b54b4ec,860a942)
+,S(b9c11df2,8a0b98cc,623f4e80,75acd469,fb1f6621,a7572d6a,7bac135c,2ce0a5dd,5bfa8a78,d42b95ef,327eb0c3,692b3ba9,5eb506a2,4e2fca1e,391ec545,40a76278)
+,S(eed17043,80abe259,fe661106,6eda0408,f60f1399,3c49a21c,a8a6310c,ebe74b5c,6dcb6276,cbe37b91,162a243f,57afcd9a,8cc2c661,652c324a,567d5db7,22a0d750)
+,S(8e4b0f6f,5f5b9cf4,68e5524a,4adf62b6,8c68e310,5ee374c2,5265000c,53aa97a7,d1f880ae,c18d0191,b74578c1,6d0418f6,c7e59f2d,157c0d56,e25137ec,c1b7f74a)
+,S(77ae21bd,fc6596b9,ae85ce9c,93112b1d,a7f393da,1238d76e,90cf59c8,caa5ebbe,f4484581,1e3266cd,f4625390,e729154f,51694717,3206ef9b,9106c547,ff4a21d1)
+,S(1d379ca8,71c02ef4,59a8bd35,f5066265,92922533,f0503999,e16d6b07,dbd2346f,c0550b9a,72899a7b,42197cfe,d195c704,a6333d5e,178d91c1,d50b772,4140cad0)
+,S(625017f3,28fc16ae,99367199,5f02772a,5c7ea721,7d47c296,cbad670c,3fef1ccc,1b44e253,af3b214f,edbeb4ac,50110df6,d7056d06,617c2bf3,6189a74d,64450603)
+,S(c7a4fe49,6bdc3509,3ae3f508,d43877e8,d1019d16,740a5eb7,8eaa72b8,638412d,1b5b12a8,95fb7130,e8792406,74b8f735,6730938b,675996fb,a30a9744,960febef)
+,S(cff9f83c,e8f9c4ef,3e80102c,bc48c409,b65c6166,b74f052f,a5628348,b2441d3f,4cc418f8,2180207e,fc846a41,ed6973f2,814ceb07,a8bd252e,338e32cd,e352ee6f)
+,S(84027710,45b8c295,c938ae98,a9ea11dc,2fd23ae5,7ade6ef8,2c604721,66700541,72946592,d3c11404,881b972c,eba81d4f,f3f80dcd,40b15da5,f56e0723,841e4f99)
+,S(f7ab1330,e00cb9ec,61a346b,d8f5522d,5e304a4e,a94f84af,b5c70614,d2e0d2c,5d4ac851,89350a54,af58def4,6f3f3d69,2ef0f6a3,9dd4ef86,6bb1101b,df5e6144)
+,S(a7c84e19,2303b778,8c1a4d5b,786c9829,d0da4ddc,c13f692c,7851884c,6fd4e618,56e32e5b,8fc2db2f,21d64bad,35e3f115,65928533,a829d744,939ba456,bb1774fe)
+,S(b8b0c884,a680dac0,363bc55a,fa677a72,c65f4139,7f5cdcc,f199d80d,ac98c43a,43e4188a,c92606c1,cd6bec5b,a4edb045,6569f87a,625db932,d0f8e71e,516b8127)
+,S(816ec443,d0576135,5a3bc33c,1db4a179,c5bef98e,943af8dd,ac250482,a65e0df6,89a7b2c9,e9f3588d,990f6fa1,96e366b6,54f9a30,1218a2a9,c9b87c48,55f0b360)
+,S(8ded2103,823d07d5,33fba24f,7fccc47c,b101960f,3b717fd2,af39d49a,a91e28a0,3f03ed1f,be1a661e,f43ef9f7,d753eaad,e3e1a391,2a682ad4,fb19526c,c0011728)
+,S(b1c4b39c,e874d478,bfbdf9e3,ce8c3165,ff4f7c4,bee20c87,4849aeaa,d0d6260b,38af8b61,30701881,fbbfe724,5396adc9,32c25b84,dfbc4dbd,a54bd236,c04b4fde)
+,S(7d5bce3b,e5953eb3,a17f657c,fabc8209,f011bcf2,7e10b90d,e75dad9,fab2c971,7380d686,5f5fd782,b0708b3b,62c39e49,864b2ba7,4066167c,bbcede2a,b0f84787)
+,S(2af5111a,422af2cd,14e7717f,bc7171c4,96af178,8b229497,a54d2b87,4c00f285,4468bf1b,ee43f100,7e800b68,b7b3b243,2f3445c5,c8aca59f,7534beae,bb771f41)
+,S(b46e29c0,6dc8ddef,f8bdfb65,f4043b61,fe010dae,a2d0955d,c81a7b49,637af766,62777495,ae16314f,d7d0cef8,24a27a9f,748c5c9b,9c51645,9c1ec9dd,9d7b59f5)
+,S(105786d3,f44ea40f,71eb3bd5,339cd514,aef6d8fa,5923b4a5,89b219c,fba6b1ea,2a4ea7da,c87522cb,7d92c450,8e86d0b9,39fad024,9fc2cf15,1ba005cd,b743d0bc)
+,S(1f3c0c81,be856e30,18934573,892ceb22,d2d2d8ef,f08b7857,5c624f48,16adb23f,7321690,de24499c,f52f4840,89c4d7b4,11158d52,d32731c9,faaea567,8bf6072b)
+,S(16dcbae3,a95a95fa,912484f,f833ba0e,e437876b,f16f9c9f,5abf46aa,468bd2b3,56727c07,247b12d6,c1ade473,3c691700,30e5582a,cde14034,3449f241,59ffa44d)
+,S(114be56c,d6723c8f,924ff3c0,f5edabc6,e42314a6,49edbfff,1c794438,dae70726,984dd72,855cdeae,7c580046,b32cfa7a,45b61b75,944735e1,d5fd9065,268ac521)
+,S(8d0cb2e6,1f98472,e169dbac,7f5babff,51766b3a,8d74e17d,747b7eac,d903fdaf,d1593bf5,b9e793f7,25cea368,2ceabb11,f06b36ab,899e160a,f1f736a,80bc9b92)
+,S(5b420754,188c82e4,db72f3a2,c8049691,34e3b43e,484b45ca,ab4727f5,31714db3,4a89307d,27d7f360,7acd1643,719be148,1c7eed5c,77598883,8bf6cc13,a4723d9f)
+,S(91e3761d,95761d96,8d856a72,800fe0b5,9f01c62e,1cc446ed,18c1b58f,88cbf74b,b5ab61e3,96f88376,28f3389e,9999ef55,b73a58c0,d33debc7,25812530,2b96c772)
+,S(31380b83,dc77e5f2,9c2f5548,abe052a,16e0f1f,2d8aad3,5b05d29c,5c1a4655,23ccafae,cc84ea72,3c434342,b839cd0a,b42173bc,1aa1db20,1073fe26,6593403d)
+,S(ae40198c,bcd54264,904b44c7,c9019553,8f3f3727,a0c9639a,764cda80,b21edd27,3a57f08,ffecccfc,cd9a0e7c,827d98a2,ffceea9a,6c39d200,5cfae623,34eeba8f)
+,S(f4729787,abeac0f1,249b1d3a,c19bb025,5764a854,727b415f,73e24c88,a8a981c8,e31161a5,68d81328,c7f9783f,de146d07,b51aae15,bfe719d,ab4e9e,ae65d172)
+,S(f92f02b8,34148934,f7059b61,7e84d0a6,f52d3b8c,a7d7b69,ce4c8175,7ed5884a,faed7ef8,82733020,888eb530,5c6dea4b,cacd208f,fbb66b7,6f3cf41,a8864080)
+,S(a2bed8aa,e93bd682,be8cc4d,d1f84fc2,9efe4022,b2b0dec4,9ed3ce17,7cc93363,287ab9c9,62126fb7,e0340f29,9edeb89e,7bf235b3,b3f08213,d630c9df,198ada1d)
+,S(5a42cfcd,3d1811d1,99b09dc8,9308134,cf6219e2,e029598e,899418f9,b7af4724,95ce721c,39929d76,b0ea83b1,80bf25c2,e301413d,60fb8717,2e0ee8f0,593f8423)
+,S(1d27ab05,67e8bf19,323f1eca,44175085,2e768a6b,a1436789,40ba2b94,5b0e530f,18439939,496d29a1,58a532be,76b04932,a23e3ddd,d51a1b07,c6c33e6a,11e1afa8)
+,S(592bf859,22c05bf4,4b42fcf6,e4cdf3fd,bbbf8088,b7263d31,9bc74914,6eab4326,84cbd8c3,8dccf0ef,de3946f3,ba2eac25,3aaab976,8f7f601e,7d95bc74,4c7f65)
+,S(66730a70,5ae3dab8,bfc01f4a,deeadc41,d4df156,d03c4fcf,1dd9e16f,9359d5,c04c7cc4,4ea1d8b2,273b9170,19b9efb3,6e8f422c,4863f718,582f57a0,778273ee)
+,S(3d002600,532420ac,9fb246d,84e48560,1ce6897b,979491ae,7c5914e,dbb7fe83,5bd73264,2f16d4e7,7bcc4855,72494523,c221fa1d,321c552a,53241dd7,94c7d98e)
+,S(d42ae36,2b5dd22f,d2089d37,d22e2c2a,750395ad,710aa1c0,61ed4275,43a24487,84439e00,1571e1ea,53bcc24b,a11b6f7c,ded0a649,b2a12fc9,c2a618fe,cb39ada7)
+,S(37c761ca,486fabfd,b306d,c18e9074,409e101e,5bdd1670,edef1253,aa253743,e53840e3,1110db1,89ec241a,e7b2cb89,29669da9,5c07f3d0,6277f667,b90cad12)
+,S(4e672ef8,bbafbc8e,eb819f37,15ac0d6c,2afa9781,a197345b,2889ed0a,f3b0e788,9c10f0db,bb16d807,4680133f,e62e0eab,130cb0b9,51937852,4afcf4c,38814061)
+,S(c1f2943b,23c07929,e9c635ae,66f62949,8e1df12,f35aba68,ed8791d6,8fd51fec,3376b6c8,93ad5ec5,991f7ef9,6a6b1105,2f2262c6,680045fd,fc4d4bfe,ea64ae75)
+,S(3df2461e,739cd984,72cf10cd,f663e651,351e826d,7afdcffc,e17602ae,c0370be6,5e48fcb3,3ed9c0ec,3594eeb0,81adaaa,bd5ec5a5,7eeaf01f,c9f00d02,c692cb06)
+,S(d4d3d528,f98b92d5,f4c4ecfb,ab60fd85,50f12327,5b63b3fd,5518c1f3,d62a82b7,64496d50,85435de6,991a838e,d984bc09,2554053b,54b05a2e,490d2ce,da7d5b76)
+,S(ecd8399b,4aa3368f,1a7a4113,63ff03a7,ad644847,e225108,b3ee7d02,1209236b,2e1209fb,a7921c29,e351e61,73c02cb5,c629d88f,4ca51af,30f37123,75355213)
+,S(d5990be5,7e6a0da9,333354a,fb344d59,416d1a70,785cdae3,8c332e09,cdf78722,b2a2cd8b,73f76f3d,1079198d,34441008,278f73c8,93979ece,eefc5911,7ba17814)
+,S(7598ab65,1d8ced00,af3d5978,661d801e,b57e9089,287bd74f,85ef042a,90374b1b,589fc426,9466b1ff,b9c0cbd4,b022e9ee,7edaae87,8f4cc240,b60db60d,6c28f04f)
+,S(fd071417,b12d2d31,852048b7,61c5301b,be088cfd,98ebce7d,7e0922cf,41f694e7,2d9c53f1,ee63b93,2adf679d,96b548d8,d47d8f74,58ef8b45,9664da23,be32c363)
+,S(5a5b4990,e290868a,d1d571ac,8e9347f2,b1e513bf,cbc2b8d1,5e56ce01,2b72ca0e,c76852f5,7159524,541569f6,3c4c9c7d,424285e7,e83145d5,e5161998,efebf968)
+,S(93deec24,3cd4f146,42f5a415,f6ea6f36,25c90081,5f3d20f5,9728c056,fde7f2bd,88f919be,b9993a16,61f78145,f54149f4,6abfa859,1907736d,d5e85f25,bf2dc7cb)
+,S(9224d17b,a65ad967,969104c9,3068d439,9c9bec7e,7613a602,f5c9917e,46df82b6,346c98e3,2bc2a4e8,c7689e54,eeb1064c,1b5691fb,cf5a4710,55cefbcf,18a32f65)
+,S(851acc91,24ddff9c,14cf054b,87347a71,cfc91637,6e559189,f055143,3b79c38e,d959bdf0,58d21cc3,430527e8,cc49dc56,2dd20bf1,30f0e13a,55cc69cc,1e116f35)
+,S(ff6c1303,b7c111c5,87e01ef,44829510,eff0a612,931f9212,2b71075f,2cea4d96,24f09bbf,7bcf50aa,ca239be,b925505e,7e99d0ff,5a959574,5370eea1,7b4841f6)
+,S(f23bd9f0,55e7bd1d,433fb51e,c8b6ecb6,fd5014f,4f4ca9d0,6a4bc636,435fdac0,9652b458,9d269ad9,68ee7012,aee47447,25ba917d,f120bda6,9d2194ee,a56d7b60)
+,S(9d622c56,ea6d5d19,7b823e60,1bbd4af0,1fe070f9,391bb564,2a05527a,49f46ff7,8061bb94,d6485fe,d9fbd557,66db3dca,c648c7c4,2e025494,e6c3a91c,fd5c609e)
+,S(9494efe4,cff5d5e7,6394b67c,407b9961,2915afde,56933b80,370d0adf,2f020c13,ab0c7e38,c85ee1cc,27964b2,de42372f,fd86ecb8,fd3f0a81,84f5af38,58a7e4ea)
+,S(a8e4d7ba,ffbc52fc,a8cb6c,2938a01c,e028c259,97403268,dbe1600a,952e1a86,8d5b83d,dc3022c,4f79723,c6f16722,cc7eeeb9,c964496f,c9f67c29,351a0bed)
+,S(83841f64,938e460f,eff191ad,4d72d7a5,203c01af,1519cdf1,f17c3bb5,e4927ac5,f5868f2,c2e87249,21373397,40415c4a,ecb1f30d,b204fe41,80e01d79,eb536800)
+,S(ee8974d9,5ef03f8a,860dcba6,7b597fb2,af2a2df6,950aeacb,d623c883,20612f6,5cf10d74,3085dd7,cc695145,3f9f763d,6596abfa,eb7cf216,34ee07f8,a4f141ac)
+,S(68e88d8c,23616ca3,b136e5fa,3427628d,a92dde6b,2691d857,b2d01a60,b6579606,5a9090,3766d6eb,c58c5d60,9b6a5675,e5ec7b73,86a17c41,2574d179,a0fd5450)
+,S(fe34dd8a,c62ec8b6,20dbea79,44ccca40,cfe6ab5a,ce3b2e7c,50ac589a,9522345b,88cf0055,adf1e122,535611d7,bd3e00a7,30c9edd5,898d25bf,f0abb9bf,6bd6c8c0)
+,S(423a7a9c,c0f81489,aaa62479,c1317368,9989366,fd18bff7,f6a5f235,8251bc1f,c926b3dd,519241d,2e776ea,16112e41,259ce896,472ce71f,de4261bd,29c678ee)
+,S(7fa60bf9,7cbf54ff,e61bb840,b2e08d91,ffb0eb4,727c0e73,ed4f157,ad0b98f4,d5b1aadf,84d387b8,fddc7b26,a7f736a6,7e296fed,7978e81f,6e7b3b09,e94d733)
+,S(9e53cb0e,f1eddebc,77edf8a6,6917f915,8294815d,eef898c,f1e77433,60153a66,5358daf2,60fea2a1,b9a4c6f1,b8bebe09,4983499c,fe5577a2,ed8f817f,46b41ccf)
+,S(adf93641,c616c677,99b44ad5,354332c0,1404718e,8ec91e96,31e69552,3ad6f119,da3c66af,e4cfb3df,f55f6761,5c6ac42a,8dc17241,5ad38619,dfe2a13b,7e42ff9e)
+,S(701e3ec,485db367,b0687ddb,2be15f4b,5b6242c4,396f6f0c,9726ecb6,474e4ca8,1098fa76,13dce1c5,29f7fea,30740377,691aa3cf,3d13cf94,6f2d8191,2d3b9e83)
+,S(d8fc5ba5,d3ecaa05,9e9a7e04,2c52500a,d513645e,6149e84,aac0d910,f8ccfefc,72724b4d,eec94da,7494b4d9,83a2df06,df96ee83,e578d920,c2597089,7b4b3d8a)
+,S(7bc88f9a,8279ffb7,658a186,faaa5f0c,c900cb9d,4a33b8dc,c9eea83e,ff71398e,cdcd21df,e5ed8151,1a2d8c77,e08b76f7,4939d39f,1f5581b0,aa956066,fa14a7c)
+,S(8578d531,bc79e1f,6e219bc7,7f2172a3,e5fb92a5,efbf9919,f46ea11,6f5ef0e5,fcd1b2ac,39c262c6,94eef5e0,52338f9c,cac2d04d,ed17c290,768759cd,13b7d550)
+,S(98bc22d7,3ea2661b,545eb5f4,37e1cc0a,d4124020,44bb9093,5cdde758,a8020a62,143c7dde,d33ba5b,c2ac8d83,cc462f94,2607bff2,a1aa32d9,f32e14c2,82232226)
+,S(7fcf821e,95d2176d,d088106c,a5bf0855,9980f265,ea3c401a,aca44b0a,d5e8ee10,27c341ae,87e7afee,f8af4598,e8e27cab,c127b054,1b389cfb,266ec9d2,fe400284)
+,S(898a39b9,d440ef05,f87e195b,6a334f93,67acd67a,1fc76ca8,316292ea,216a5f1,eb642fbb,fe3274e5,2fd1cae9,744fabfa,c0db80e6,2bd4f7c3,fc2ca43b,18ce52ef)
+,S(3ee974a2,8918c216,a962480,1f18bf9a,87d6a627,83323e3c,bf138bf4,3f2192a4,f5b386df,ac71eb35,499d5b2a,960fd20e,fde39fc,10dd5c63,dc50b55b,cd660d9c)
+,S(bdd10d2f,de76df34,9ab753ee,d06c1251,9766bbf4,2fb610a5,7ddc3f36,4047c14a,504532ed,34f97eb9,b8b27664,ab440032,2b8b47f6,9c403bbd,6bc74330,16923dec)
+,S(2c179437,39784124,4ff9a4a0,eb9ff292,477a5148,c4176b23,c000a1ce,3bedd63d,a367b584,4f9b7b2b,a82fccca,b9a12a8c,2c1ca5f7,3e630173,e37e600f,f2fcfb6)
+,S(282ef30e,f2d61d13,6f71e6df,6ee97ebd,a83036a3,2d3cd841,36289798,b3e71580,90b0cd33,c350ea2e,54c25264,7a3fc91f,5b4f9dc3,1f58e86f,c47825dc,e3d0f43a)
+,S(a42b4d55,42acfa7c,b54ab3d5,ee0bebd,85bf6ea,db138ef7,1ea38c73,899eff23,17e38880,f10b9927,764c4997,326b0b9f,63d0e03a,fd2f0bd,b1ff3cca,1f566bb7)
+,S(b23acc64,c5b00c8f,4b580d47,49589559,a06fcea5,75f3d38b,1a02251e,ff7ef00e,66bb180a,7eaa64d8,4bfe6a17,d457f5e7,73964ac,ff908729,3bc540aa,1cb6464f)
+,S(942dce6,96aeb063,4681ce7a,407516e9,89df029c,ecc77023,411a628f,75885ea7,e208be8a,88be7b3f,6b6b06ce,a3aafb45,c439f0ba,d517a784,ba13f80b,707caf14)
+,S(b8a6a2b9,52194ec0,8238e4db,e71eb948,23e64a94,e10ea0e1,610465ab,88392d16,f8029f31,b8e5ee3f,77a758ae,343be258,34c7bef4,c1b555c7,4cb63d51,cba5fec1)
+,S(a36d3369,a1ee05f7,b1fdb083,ea614cb6,f15feac4,17a416d9,cc83fc2,868fc20,e4abd7f9,fe40f27d,5b7b7651,6a9fd714,aacd2ae0,5f0a1f10,e94327e3,76f0af52)
+,S(4ea30108,3d711ae6,ffccc89b,9d6fd4d5,6f03bd68,f4508cc0,ebef5e43,88dda1d,81e9997a,8b1c5949,6554bcf,154166d3,40f9ea5f,ce55ec83,eed793d5,5ca3e513)
+,S(20228716,1c1c89c7,64742e62,e427b712,fee118f,406a175e,ce2f424e,2affdc55,7837965e,cf26a7f3,428d2864,41e1d09a,91eaff0c,5ecd2c28,bc817766,67fa35b1)
+,S(d3c072fc,8e4bf160,5790d429,61206123,95be9092,f166784c,f5adb7e8,6070d20c,72688262,594c75bb,bb55c0fa,af7991c8,f412e0eb,afd1c0c,f5bcab82,d8daf31a)
+,S(294dac7c,e307fa7c,cf0e8f34,28a354d2,94003dbd,ca763dad,3e6df60e,530ec82,479fc222,a7bcaa62,aee807c4,ba6309e6,cfbcc783,afd49ecc,fb9b45f,cf84673d)
+,S(3956ca5c,c09fe8d9,e4042a8d,67b276fe,225de609,ea24575c,7075d9ac,4e732fae,1c965fe7,a8219052,9d25ee0c,e1fd62f3,7196431d,7bd78302,e287a26a,2eeaa23e)
+,S(24d2e396,da144b48,e736eb06,84940175,4f4109d6,6d87a9e6,97ee82bf,91fb3def,bb79e772,24b02fcf,dd1e3c9c,edbad212,ea875c75,1fe7c81e,76d7d0d9,a372236e)
+,S(638d4042,f16e5c07,fcbf9619,dd9c2f91,18852889,3e12cd3a,b49e2b9b,99a2aa5e,d0d97842,4f0010a4,df9eb8b,8e5d8147,f618da43,74b8a4db,222e4ab2,b32b3d92)
+,S(f91ad5b,a99972ba,bb323a1f,d3032e1d,94202d88,63680c5c,d7d67828,8f0d866c,60b66d45,a693175a,3a38bb4f,efb32dac,1cb558e1,b0d13571,e24a14d5,9452bdc0)
+,S(3154137d,779c25f1,4ff1fb88,a6d0370b,9e6af48d,88e7fc39,c6417272,eaa69b7c,eb3bd91e,9c09178a,398e112a,9264484e,c1980c19,b1993b13,560d39fb,92295f7a)
+,S(f8821e1f,dfdf9fc8,1e3acb3c,1d1d7a65,f710be2d,94a19355,721cb93,61549597,bb507868,c1e05282,51b635b9,dcf28e5a,c5770c05,c7afc2a3,f4b4c45b,7d8993ec)
+,S(8409463a,521404a5,a2d8aa90,50e3ad8,ec5d6faf,870333b0,6dd4f63e,8354a655,cc99452b,85092ca5,39cc1b66,83b7ab37,1b8a6525,269a1ecf,91b857be,e1db3bd4)
+,S(96802411,12d370b5,6da22eb5,35745d9e,314380e5,68229e09,f7241066,3bc471,ddac2d37,7f03c201,ffa0419d,6596d103,27d6c703,13bb492f,f495f946,285d8f38)
+,S(9d1abaec,9f5715a1,5c762824,4170951e,f85e87f,68ca5393,d3f9fc3f,a23a69c8,f21ee700,50dbb61c,238c89e6,29423538,71b010e7,98867bdd,149ad28b,3f28cadf)
+,S(1fb96691,8db3af46,c37234b6,a4b04371,9886d6a0,5859ba32,f72742d6,141f7ae6,8bc13ecc,207efd91,f7f4c442,6e9a425a,a17b5578,20404eca,b09d5582,d41f7379)
+,S(22d9e364,b9274dab,98bcb23,e0428e8a,416d54f0,5a781281,ee221db6,9e1ec7b8,5dc23258,f93d7db5,e5799195,b74e9519,4c300a91,28f924c1,c1e4865e,2d8407d)
+,S(625fa450,aed083fb,30166766,d5874131,adb168c0,247cbff8,3987297b,f873e45d,720a8104,473dc904,65585ed2,1a0244f0,fbb5a286,5b8e5117,5a21f644,8776bb7b)
+,S(24acb1c1,9b6dfc25,defb01c2,e2681ae8,2deacc0f,f21ae8ff,1f82f37,a6a2147f,f729d335,210e8061,8a8abdcd,b71aabe1,93f50ada,dfaf7d52,783991dd,d3ca5d4b)
+,S(d2856803,a99d30d4,f3a328e3,bbf7db3b,6c6d1896,ba5b339f,33c1302c,f75ab555,9649994d,64705b87,62c98bbf,1b41b725,2b814a89,3e780fdf,5689c9da,692d6ff)
+,S(80529e65,9d196884,b15e95ef,871e5fd8,8fb5298f,3bc7831b,50a0bc98,4cb5fe0a,868b3e4f,9ae4bea8,efde50bf,c5a5b268,b74b4a8,74e86de6,e9ae476f,10b3b778)
+,S(7f9199aa,3b8201ed,5d288e49,49c43277,e0bb316,953f1dde,d0674d7e,8728e183,1aba673,d0372029,546c174a,3a72268c,ee9d7e41,dd97de2f,fcbe1f9f,1a5288b9)
+,S(7d32c885,8e959f6,48c4674c,dcccb191,29b4566d,644d2fb7,6d0c8966,2c29ecbc,d90e94ec,b50bfee8,c951afb8,e65c7386,875ea99e,31f553e8,66e00342,6d39698)
+,S(f2b961c0,9291ecc8,576ce67e,bbd1bf01,1f1727ff,ad9eb74c,bf8819e3,2d1abfbf,ebfe5849,5a1e6a36,46c38220,8656f638,ed0aec0a,d40c0524,1707102,3126f795)
+,S(d9a0c689,95283291,972d6a72,897181b2,6b4ae317,4e98a676,f75bbfbf,81be876e,d36ae886,a0acbc9a,d1564d97,4d3f0309,e9039b93,bb350d92,2b7f8c7a,c6bfa042)
+,S(c7a36324,6aeb7c8c,991b2aa7,10abdf5c,fff29912,30b3a69f,be2dd481,7c7c3e0a,1298fdd7,e448d2d,79986302,6b4b2d49,2b32148,d6d1e5f8,15f5b0c0,5c9e21f)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 512
+,S(635cd7a0,5064d3bc,66535a0,4dbf563a,640d2464,c7fe0ac4,8304214f,e4985a86,e40265,913e77f6,46735cfc,af9e2f30,e8d5f047,f3281a4c,e0453e27,e9e3ae1f)
+,S(5da624f,38edea25,37f5b632,695b481a,eca54bb7,2169cadc,c5b91e10,989ee5f5,d3ea6dba,a1080300,fffaeeb2,43a5256e,48c28822,37b16505,a220d771,ca721779)
+,S(aa4f64a2,b19775ec,92c1f687,1fe4b6d5,ce05278c,2976c80e,fe19284f,e87d4d5e,f39f117e,95fce0fb,6976e949,9583a66c,224ea028,8396518e,293793dc,3ed4f240)
+,S(9b6518ea,99ff1b42,22a93f26,62e05551,d60969ec,ebe378c1,477b5c36,427e0641,2e9f1655,8650fb3b,43aea9dd,30532ff9,bebdf7c5,1d421656,27b7487d,8f93165a)
+,S(6c9b9aa2,b5972e0f,a1e01138,1ddcbeb8,6547f47f,fb101159,4b193d00,ae97b562,af09d91c,8d4c71d2,be523d0f,9d205bda,a6e78eb2,67476d3b,1624a038,6275e27d)
+,S(a2a1c880,3cdc95c5,5e636541,c7112a0,cf80aec6,a37e5f71,f5366612,db467cbe,c4cf570f,3638f040,ffe5410d,50d4b175,802e2e1a,c422fc2,73eb9b2d,4e23fc09)
+,S(63d3750,c961ccd6,34a5af10,48897366,13102bae,20f2c8a9,ca8437e5,ab650427,87415332,74b39a76,72de90dc,698742a1,f21125f0,71393fa0,6d670045,8e339248)
+,S(8d070e66,e4428255,a53e8fb,5845d14c,bcc97dbf,19b6930e,1f5160b2,52bdd04a,4bc98c82,4f2b4f04,c9884099,f173cd22,48cdef90,ceef4bb2,497da8dd,99487ecd)
+,S(f1fe56a7,2e5f008b,b5014395,cc1658f,e3f3d4df,7b361456,175bfd2b,4a91c8bd,be5ffebe,e57a7da5,d01e302a,d3688567,a19caa5f,fe8a57b2,be2c866e,f5f275f2)
+,S(802c9adb,d2eb969e,9ba71a95,675bcc7,b412399d,5aecd635,7476a1fe,73554b21,42132026,f547ce69,66e6527d,370f9c0e,cc3344c9,be1047ef,b7422e13,6772bc5e)
+,S(95b1b6c0,9d6ced22,f0a5cd,abc7a594,9d24cda4,f178a745,c718204b,1493db56,bc143681,53033d16,ac8ce5e9,a6cf240d,27b2331d,36cb23dd,f69009d4,b6adb01d)
+,S(eaed529,1f94eae,183b2aa4,e17022f1,7b79a06e,d76b169d,2d6483a6,a6ede35d,53d5b276,91c5899c,ddac1efa,3ad6baf0,bc6e377c,99ac7f8f,9cb27fb9,5dd559b3)
+,S(77c44fe5,9f6f448c,72eb485b,6ef3f7f3,906d690e,367beabe,ac7b7359,9c27d770,bcd75022,6c440f80,2ccf0360,4e3d6b38,e6629c9f,facc49d3,83322eeb,fb1102fd)
+,S(e863b2e2,f00f0a46,b6752002,cd936a88,11b6279,5411944e,fadae5fb,e40a0306,b5c79ba3,6da29f17,5b9caff,631e8ead,c2ed937d,66008358,b36fe044,67243a5f)
+,S(226f5bef,93df71d0,b2feedda,4ada3098,3883adb4,f3dcedec,2721e72e,eef8f191,a09204b5,2bcebc14,8a0a08fb,e8458618,f966078b,d75ccfbc,c13233ce,741707c3)
+,S(aa222fb0,8c1e7c53,9f3a82b3,9c6f08de,c33beda4,aff7c46e,3a4e9036,83467184,41105cf,21cafd39,821a7c3a,a6dff931,c1653d29,906b5d4a,c5dd6431,7c1c3765)
+,S(1879c2cd,26ef4ed3,dc5220bb,397b1501,f94482cc,1236da82,239754f1,e1fec96a,912d5f35,75eade14,91fb1609,21d63042,4fc68951,cb73d351,464725b7,71f0d67d)
+,S(be39e4a4,e7eed88b,f4a4cfc5,970d4b7e,6df6211e,bdc2bb76,7657ecb1,ac9902e0,d8b1e4f1,13fca7b7,6306d9a2,b4cf5a49,32ae54a4,5615c899,f94cc476,7e27cb4e)
+,S(1ea72fce,33378c3d,d0302836,86c3f8a8,1c2912e4,7cf44631,d3fbdc2f,752d5786,e20f4558,fe1cdd14,ccff261a,fe506b78,cb6e2b0,807fc7c9,aed0b888,3748906e)
+,S(56e33dd,67bff57d,e8c638e6,f32bc396,2d0ca011,b74db242,3ac662fa,da036806,4039c0cc,165e7130,9317d4e,41de57bf,50d78ecf,3e14ee2e,fbb3b93f,c393f461)
+,S(51981691,a5f1d8df,1cafb95a,738b9e3e,d036ce54,f10a7447,c470cc2,e80f37ad,9fb9047,67cf2a99,766e3c2,6e97f045,d03fabdc,471ef664,d31aa662,c5972261)
+,S(ef3a5685,77a59783,6b0be7f9,5f927996,b90db9b9,bcd57f30,16ec5979,98869dbd,51cfe457,ff22749e,949782c6,ae1f4783,fabe1136,4bb524d3,72ac3d8c,1b7c5e07)
+,S(efc652a1,8c3a85ba,7ee9e0b1,6e3c6433,79a66882,5304a22,523c060d,af196415,8a656c14,cef91af3,1db2498,f5987083,8fcee71c,98c09d49,737447b3,54f7b2a5)
+,S(cdda1fef,f4d5ce2c,d9802198,389880f1,8adc7962,c04a95de,f07370a1,884bbf82,8bc26ffc,b0c9dc05,d799174b,4a478162,4417f9ab,8536235a,e55c9b0,49e31d6c)
+,S(6f3f3985,3454aa13,134b76d7,77dedd40,d46bb6ac,dc3a3a3f,93886847,b96cf0d4,a8ba499c,4f7ca1b5,ae7e5192,ea408344,b6e32491,e5649637,e4eec5c9,2cadba81)
+,S(e52d11af,91abfb83,ea842065,ed8d804f,a2a3627d,85149ee8,61cd5df,e54b13e4,59f3106d,619e5672,cb21f6ed,4e73285d,2e132a3d,e3ed069,46838e12,a9cfff97)
+,S(89fec736,f0de1cb6,45654d13,b32b3cab,8fb91869,c30e2ac0,66c0cfa3,9e7256ff,f9417ae8,4d3e1a6d,b6ab938d,9dfde62d,73e708db,b58f5ded,46b455ae,7e44274)
+,S(5140f56,91b10553,ce86ce73,3028749f,52261520,a8903f75,31bdac09,22b70b29,91a1962b,9e02c23d,61f4ce,21c0ce90,ad0acf0b,fa250afd,dd67d72,aa2dc024)
+,S(3c16130,93109917,1075e199,ed32f94b,579d0eb,85520d09,c0f90fc8,7d267b5c,d50d04df,e4040db9,3aa0010,7693ac01,e9f156ca,5e800e51,a5f7d36b,78ac64c3)
+,S(fd87690e,63a50237,258b8a58,f0240552,a2d0b952,911d1fa8,be13eeb8,9be8bac9,406dc1ac,ccb968f5,6fa3ee35,247fc66b,b40f04e3,ac512474,58e4fea4,8a1b9225)
+,S(8e4d1de,17e78f3,2ce8ad59,973b328e,99005ce0,6a8d9347,ebc7434b,d5a12a81,c6348f3e,744ca65d,744c843b,4bbf0d8a,992bafa8,8c31b6da,42919401,b1a2a8ae)
+,S(382c7bcf,ea62c678,173b6eeb,ba58caaa,f4988104,1677bff6,ea739a0c,6c7743c2,190a5da,77e64243,53df7f27,e01c0f6a,67e9addc,afcd3523,7cf5539a,69c5eb7d)
+,S(f56a8b4e,74b84807,539fa471,bea50795,25b0dac9,53bf5d29,e87d90d5,f914ed0f,5456d908,da57e612,3ab881c6,56a6ea24,8f9f201c,13915a48,c50151fb,c096db8b)
+,S(908e9ffb,6a5e557a,1fef8ea2,b16b80c4,3af3652c,55f12a04,4ecfdb06,17965b80,beae28c9,d1b14cf0,f8182ca0,7ebc3137,b9c01094,ed6b6043,562de75a,878bc2ce)
+,S(a6c30718,433381fd,16b22533,52934eb,3fad254b,99d41e78,7ef2e6e9,bec86ef4,47a9a286,a60d5102,4d129e4,e0309c72,9e266f82,5ee26f4,4bf90057,623fb818)
+,S(948bad86,6c3e2c26,2d46163,52be20ae,30a652e3,4a299361,4766eb7,98b3e903,30d30622,ad478a2b,99c43b0f,915de0c,4321da4a,76a18d33,95b4c484,d9c35164)
+,S(d6c92b9d,cb8a17ae,77788125,18782d36,9d536edc,f96d2c9f,c9e84d2,1cf6a3f2,dd9367a0,93518377,97b0ae88,1aec5d4b,ed68624,8ec2207b,9e0104af,2ade09b9)
+,S(f9ff3d7b,7d8b13d6,46c641ca,64df802f,7b082209,a75ae328,54cef0fd,65566abd,ac58619e,1f192095,f7223022,43d811d1,b9269d28,a18711c8,c84e5960,32deec98)
+,S(3dae1dba,3a70e0f7,209a920,42837ed5,7f4e767f,834d14e1,c3528f6e,92c8d5e0,7ae2468d,6ea1f2cf,e1fcdfad,3ffe87c9,5c7816d9,ea99332e,8b4d055,280f797f)
+,S(27045105,6fcc937c,9cbffe13,f2aaeb0,8ffd227e,dbbc7ca,d0b4b01d,19b49937,11766a54,6c24fdfe,220d3724,661d6c75,bbd801f5,c4286ad4,d08a698f,1ffa4397)
+,S(f9d95ff9,6c3260ee,cd434075,262fba81,2024c556,649c4865,bb90d65e,20defd22,37cbf7fd,8f741411,80a632ba,8304730b,a89d54a,1a5b1dda,24b026bc,17a13c2d)
+,S(4e8df18,f90f67e9,fed8c6d5,b66cfbe6,ff0a86bb,db990214,48ab57c5,c5a7021f,7e69f8c5,ccf56413,453a2b1b,3b34843c,e9badfd,3a83729e,a2293fda,f2a621f5)
+,S(8c2a4d2a,710a7fb2,1ba78383,63c66458,ab3d32bd,3be35821,c8a5b779,d2ffef9f,d532447d,27e42583,46171515,71bd6577,f82d8f91,ff39d205,caa5aac6,365511d6)
+,S(28b7f3a0,19749cce,6fc677af,a8fae72e,c10e811e,d4b04e19,63143cef,87654b75,30471eb,3245ab39,1597c881,e71f4a1d,e241ba31,a678fe39,2ced5a63,845ec782)
+,S(cb474d0f,fcb8e72c,257b5acb,999ec8e,d89f6494,cf4b008,8f6d7db,59be416b,ff7cd0ce,fc293cbb,8ab9a950,8759f856,9a0e59b3,effc00c7,e3a3051a,a16622fd)
+,S(c33e6982,5dbebc40,265567fb,ede2a4a5,1a180034,2e9963f5,bd57b35f,4055b36c,22ff3ff5,7ce265ce,253b5061,599ab066,82c0cb5,91a51e0d,b798ec2c,c546be18)
+,S(84bfc106,44d37123,71a441a8,4444a9ab,257e0745,b3d0ca0e,ee341838,19bd2237,7cbe56d5,7b7af706,c33d13ff,b3e4197b,afd7f421,1ece235a,e1c2187b,289ef6f1)
+,S(9c312ec,d53b244e,fd40f003,f7e0835f,6063028a,5b0488dc,73599653,f97b713a,11bcbd0f,58fc77ef,854d0b16,188b4e8,59698ba5,fee41fe6,165449b1,4eb76d14)
+,S(5c06af59,a22d6f2d,cd83bf4,e3bbcf21,d474f61a,e01d0433,2d0a82dc,af15cefc,476b4be9,f1c265fd,a8c6d70d,6c669aaf,41fbefb1,425e2be2,9048165a,4322aae8)
+,S(777259c6,81a3ed43,b4c0eb54,7af39ebb,f44f0d71,c84602bf,2d6d45b3,f1b6bdcf,8a9d3753,5481858a,eec44851,4c834667,d6742b9c,f563ebba,22fde187,fb3bf754)
+,S(b370601e,ae1fc1d3,14e4328b,4d0244de,174b8c4,766283c,e3820c50,41266842,8ef05079,2174c3b0,752a9abc,8d980ee3,eda7b5aa,4042a932,3e136834,bc125ac0)
+,S(5af94ac0,7f8d6492,a472ad40,67097206,78086856,b01528bf,8248ac8e,dafe6584,8a54c7ce,57eade51,1d5f32ef,cef5f56c,b40dffd7,8cfe5655,2a9c3966,e62daf1a)
+,S(8fe3c19c,e2e87055,385d4f23,c5832f37,4f84b41f,3f945945,81acb8e7,5b0586c6,f923099f,d16f44c3,a4314d49,1af193c9,2f5e2017,156f860,674f5ac,91728c28)
+,S(d580961d,2642bd1e,5f9211b3,9b65eb5,e531d17f,a37bafc3,b5f288fc,13ac9a71,500c0554,337e8b43,36e50a6e,b12fa86,d9678cdc,5b38f650,e4f897e9,1b4185cb)
+,S(255dced,529fa623,49e46033,86790c32,234e7967,5a9c5405,256cfbf1,4295e82b,7eeda9c4,7f3e1c7b,fc3253d3,faa46317,5dfba7cd,94f6cb10,c8f4b4a,7d799815)
+,S(4b7ebfa7,9240451f,ab8476a4,ae48e55f,1a27c338,a8dd8458,bdbe422,ec891557,dfb260e9,f89135f6,fca23cf,ad7ed812,c12622d7,e4285284,8c63d83e,85b59085)
+,S(919d0780,9e6092a9,a3b5819e,c67719d,3119569d,3bd14c7d,8f47f555,1f2fbf28,ca0b6af8,76d70f2c,ecbb2fa5,98d6118,c204d3d4,a30e24fd,cbcaf283,843d8094)
+,S(466867a9,de89a944,5bed73bd,5ae342a4,9b8c896b,59eebf42,393dd536,8c70ee78,2a5d9707,b3e15823,79bd6ca,e8b7ed09,9cbb9f93,4ee96029,385d5678,aae042e1)
+,S(71274d08,c8784517,8921526f,cf71258d,fc740d5b,be655f3c,d985cba2,c1db3f7b,e0af0130,a5be1434,f8d652bc,4406177b,3cdd2ca6,6abe7f56,d848def,fb4b25e0)
+,S(a46e9048,2d25241d,13c693c1,f4e6068f,b6e8256d,1fb3111f,a0ae0e37,7ebe2bcd,7567700c,f22aab69,8126e7ac,961726ad,fdd708bf,d5ae5111,40f921be,94474eda)
+,S(f7590b91,f2431126,85873b0f,77be6851,10ea918b,a26d3b5b,aec02bfa,a5e84abd,481848f8,594c94d0,c9b5d6cc,858dcbc8,2d25128d,5ea28e2e,ded935a4,62708999)
+,S(2d7aa8e5,1282e1da,dad39d64,398f0790,4f966edf,aff5e3bc,9a22edde,428c2edf,12b2133c,42032099,eb33ea24,f1755f9d,a30b4da1,708cdfb5,7635b61a,335d9d79)
+,S(91313f40,3302c47f,d9f113a5,581f135c,82280927,5f658607,99550fa9,7236d0e3,f8b6ec07,5e7804bf,461daee9,1f21285b,aa9e96c2,2e0cff27,c323f627,90838a77)
+,S(da248119,9d385a7,8468e86e,1b146fbd,e0be031c,3a19d0de,2f44a1d5,6c6743cb,c07c897b,5f76f6ee,f2c62511,19b37c47,5d418b6,1d2cda66,6d39ef67,40348cbf)
+,S(95e36a24,b1bc2e3,fb5e6082,de9ed432,760ec3f9,6f01dbd6,2e820268,dde82220,be6990d7,3abc4a3a,8f03b209,dcb4202b,52a74a87,1e1e3d01,7665e9d1,1ce1cb63)
+,S(8b05b060,3abd75b0,c57489e4,51f811e1,afe54a87,15045cdf,4888333f,3ebc6e8b,1d10f881,45db40fb,889e2ddc,e81bda7c,27f5b615,acd6179d,bb30f4fe,7f40fb39)
+,S(ffabca3b,764a327a,750bbb2b,a1cb8329,d43ec0b7,dcd8f728,55a9d30c,f3020f54,93970a65,c90ba260,5b2fb393,a4e994b4,c791965c,b60a1302,cf585443,6dd0f05a)
+,S(b3a85aef,ef35e4a9,8f0f05fa,9752998a,d3514868,b133e7c0,a18fb053,b866c72,30115ee1,c21e5b9e,3d6b36c,54e700e8,9ee78c7,e88a2752,38f46d1f,5b6005e2)
+,S(a4f1fd5f,4c233cf2,b9c5659,f666d51,5b78fc32,ebcb52d5,d155250c,c95b7ab5,91d19f85,726a1258,444419fe,c5219c7,33754325,89d92d52,c363d61c,81faa0da)
+,S(97b84b4b,7baecf13,94bf3923,2b58b5ed,9eb14637,d29b3c98,bec3e624,15bbb0a,497db4af,be8e7b3a,13493d73,ca92b4b6,5eac7f30,d86dbbf4,8b86f495,2d162435)
+,S(2ceba0d9,203e3666,75e78e96,51b5b57b,a9de5f82,3cc8569a,1c274d19,946312b3,d4c2fe86,f042cfde,41f0a88a,6d77c188,b7805db6,c6ab440a,488a75c3,8ed2b437)
+,S(ab8b1930,6cddaca2,8be57b78,b4836998,912391cb,c6a41e10,e91b86a2,3f2b7009,fdbbabdc,79fba1ae,9d8472a1,7a648206,7abed651,36892a03,35128650,374172cf)
+,S(2763029,1ff140b1,57eac2b5,9938f26b,c149705d,aa2dacd,6bb0d305,1a15b394,c2b6b32a,38dcb9e2,f4640838,c52f5ca0,55359479,86ecd875,a91504ac,49374ee6)
+,S(22d1edbd,1cc1514c,7f91d793,3e9dd124,9e703fd0,8c65ed8e,6cc79eb5,cafc78c5,7453e7ee,a53ae741,13024fca,208a3816,a93942c1,2378ff7a,5e65678,c0a85efe)
+,S(70d869c0,c5729e94,270fa559,bdb3fb8,b6146527,5ecedb7c,c8e7c9bd,acffe222,4bfcad32,8ce78fb4,617baec8,48c2c3a8,f8d41474,9c131657,115dcbb8,f6ec30c5)
+,S(a25b45de,da8d5782,64f60dcc,da97bd28,ed9039c0,6bb7c97d,d4a24eb8,791b1647,8fd84983,fd2ad956,32376555,4c43a664,f306f11e,2f030c7d,fe1c68d8,aa43db8f)
+,S(823fcd6c,9b237c0d,5aa38336,6737066f,3e77fa14,b975a5cf,39ca8a74,3b1024b8,e691a44d,29a4f2dd,e99c2ba3,bb6d4345,d1433e4b,d1c65d72,198f16b5,4424dde0)
+,S(39a5a63,8244aef6,432b1247,d394d305,ee594bd2,6ed2433a,3a96c4ce,5a158d0c,147ced39,dd8b8494,d57ff37e,a24cb108,ee4b9f43,50c556cd,32df8b27,626a8023)
+,S(8f9febb5,b85bb2dc,74aaf7b,81b27796,2a18f6bb,4879f5f8,de94aa56,b3206487,48daebd6,d4175a00,e37dbde,c2b57b3d,dc7474f2,ab6a093c,32a86acb,f610c2a2)
+,S(fc16fb14,2f500856,4509158a,5f6b4e35,6a08db53,36e9d3f8,4f7a03d,9143f60c,8e9326f2,7e02b73a,10f4ada5,9db85fe7,4027584e,6b32aeaf,58bcf804,dc1f7a36)
+,S(7db09ea7,17446f6e,9115d8f0,987eba83,eaecae01,f4201d78,8e292486,85c5a281,b4469cee,426d455d,f736b2ad,c12fd17e,79fd2167,c5a6f864,2733e327,c215742b)
+,S(d45d1bf5,28baef1c,3ea56fda,b1f8d3c6,3df7caf5,c7ecb0b8,564fbc94,a4d9a57e,91e26984,64830e89,1cd21d3d,81ad7000,ad0c84d1,3c05a191,c1a172e1,16aeccc1)
+,S(3faf0b75,1b6f85d8,550a9ffa,a7a26bb1,6a4d9c99,ae97678a,d43a1a91,75f03901,8a5d062a,a4e43cf6,5caaa39f,6386311c,be775d14,3b8d9368,b555c436,1844328f)
+,S(54608cbe,8e08a472,79cc5e39,c65e1ec0,1eefdba3,3b127107,4926b06c,76efd121,a7695bc,40def81e,48ec5f91,cc98fc2b,9bdc2776,71d05afd,cb789e20,c540f038)
+,S(559a0d89,50dfcd4,364e6955,23b56972,e8a201da,4e196d46,64dd580d,909823ec,7bf8e1ad,d6528b90,cedb8d5c,87f5953,5641e32b,6a6a7b4,c46e8052,e8dc71c3)
+,S(166e8858,b5e2b9f2,b1648c34,41e5fc28,bb305ea9,b0679c3,1a996b94,acf467a8,9c9b306d,ff82fb42,acd8a6b9,108f9994,dc1b7c37,dd0c9d2a,f64205a3,92e5bdb2)
+,S(40e29e8c,e66e83ba,a94ec5fc,3ae438ee,e5284f94,c5efe5a8,d41da738,38fe1941,7c71f71c,c01e7868,1cf154e2,73a23d0b,84ae684f,b0e709c3,9551884d,39acb2dc)
+,S(6829c8f9,eb659ce6,7f87fc76,4661b400,6aeb8b3d,bf674408,1a844380,72d4ee7e,1d35530a,8332dc05,54e82522,5e9ff30b,6647fcb3,304fd908,ea506945,ca22913b)
+,S(4a3fe05a,322e9fd3,93393b13,6e2af237,e25a2540,42d10e7a,dbb35d41,13658196,859a41f8,d4527641,a93c40d9,ef0ab175,78dbdc45,7edeaea1,f147018c,7901574c)
+,S(de5817c9,a675eb2e,c1567ad5,a6467cc2,9e9ddec2,177f382,25a5e101,9aa44f94,4050ebd0,5413311c,df17e625,6d4bf102,71b45e17,4c8fcaf5,ec36567a,ccf723a4)
+,S(fde29245,4f07f411,abdf1a2,6f3d8f38,daa7b9b3,1b51fe7a,155da5eb,5662a108,f2a4e6d3,7b39e929,ccf347a3,ac6c719f,f09d1756,e407371e,d98dfdc8,b727808a)
+,S(f28d3cfb,6eb98ba1,76fc536d,6a772861,b0917415,d08c22e8,a43a90ed,eff42436,4508be2b,b328250d,e043dc82,d8894aa4,1971fe8c,42e6cb61,e9d02735,1279d1bf)
+,S(c7655c30,4d1cb5b7,d0992afb,119a6df7,7bb65496,420f78c7,117b951,7f16e3ee,898162c2,cdb730dc,4b986b1c,b0de79c1,a348b0be,51b9070d,2e427e2d,e71dfdfd)
+,S(e57d97c7,2fa3ee66,71d67936,eb62f4d8,53ffba74,f2158d0d,7ae3eca0,7b4b147,b1e3012c,a3d92975,91ab80b9,a668ca13,1ed42660,47c34958,c07c720f,e1fecd64)
+,S(eada8642,155025bf,c0644f92,fe014ccb,6cd3d37b,76686a44,bccdf8c1,e22b0c01,89035d7d,71d71bb0,117c37c5,540f82a5,7152aac,af79fe91,6aed7d2,9dfeeed)
+,S(3e76267e,3f172198,9f9d7e8e,11fa3ff,62dbf8f9,77503e27,5567ec84,e60d0e25,a1835790,9631c6db,a453001e,c7e3973a,416f8bc7,e2fe0871,82d8a236,6e1160b6)
+,S(a11d97d8,9c262f35,2279e69,2d66be7e,5de7235,18e6750c,6972d250,91a3df70,d18df8a3,dd6fb016,df2e48fe,ab889165,44768d77,e9488b71,fd31c6db,d52a69dd)
+,S(b16e3f75,cefec06e,edd54bf8,dae7cc29,a5ab5208,fd58d787,922f4221,f5f20651,57fbfeb4,5a6e32ed,74fc1989,16909891,233ae90,c539b81d,a758761a,a6d0eb2d)
+,S(37de800a,3f73ea6e,9eb564c2,faf147a4,837339b3,44a33d9f,beb25784,c74628b2,59339259,9da55803,196b7e5,3596aad7,e33fc96c,fa2ae0a0,2f41ec13,e6254050)
+,S(6f68412d,65b3abaf,6fcb781d,8b6e6baa,4ae57fb0,9325a1f1,9beec438,cbd68055,884fd59d,406171bc,b31042,21abb5d,27dc1433,ef49af08,ec031543,2f8d3bcc)
+,S(91479a9e,6bc5e261,24cf0ce2,b52f070f,980f1f9a,f60bca79,572902d6,cb6e4366,2304f70a,22de4435,99f6025d,4b13be27,47932524,112f64a,ef935d1a,9c2f5288)
+,S(8ba6b0df,36ac8708,8c1e7c1e,4177dcc9,4cceabc7,4a6c7701,8358c194,4d19bd8a,e96b720e,e9d515e2,922abe8a,177ac755,989dff1b,789a85ba,ad17f859,62ab9ed4)
+,S(ab152195,871f3fcc,58f59a8c,a35514f0,f11b8a69,54e4ec9e,f4aacb7b,29d567cc,c1ddad48,623ebda1,42899ad1,75f88ff1,965ec1ca,651b419c,3c8ea037,f267fb4)
+,S(7eb23f48,5eb92bd0,1c0e6448,e19adc22,6ca45c46,d4d5c756,e552ce7d,551600c5,953e9b12,4278b939,7b3de07,63e30c55,a300ef97,a8587328,b3dc27b1,a7c57ac5)
+,S(b23f4c2b,a4b2700d,c7520a92,25890491,e0212fb7,eeb1f0a,2f624905,4e21ee17,a38b6772,9e95b3af,2cc7d5a5,c10386c2,8a2c287e,6349f811,457ae0dd,8b598530)
+,S(85d2e723,387e55b6,a2c1a02b,96cfad64,67a6c12e,b75424a9,a10ab77,2769c2a4,727abdac,223898af,1b077fb,7d481434,ded380cf,21a131d0,db845150,c8e4d303)
+,S(27c1715e,8dba4cc,41383d59,e669f66a,54ae6901,88a794be,9fd8da6c,9b09273d,2767ca54,306e6ca2,3517d884,1e7f30f3,e16e22c5,cf2bbf9d,998d5cd4,b5b1a266)
+,S(e70b8cd3,7f9a5e8e,9e0c4fb5,6f85a6ab,42cf4042,4080350f,4465cf8b,95eed89,2e3d8c58,94788d1b,9734e93c,7508cad,faacdf06,319854fe,5ec4b0fe,6b0cb31a)
+,S(e23dd455,24058396,98c81a39,f3f076ae,93932c61,d0e7f65e,e2c2013c,dde956b9,6c53cbd0,cd8ab8,bf5cef85,a8aa0b64,52b57e79,cb53315b,1dcdb68b,78cf77c9)
+,S(5e923f81,ccc49813,11a09f2c,47677cbb,9aaf0832,10c683b7,d7a07399,4d919c9f,604d7112,e64cad06,fe0e64a8,af7054fe,7059667c,fb5159f7,738b97f4,38306873)
+,S(23d9f253,1a9fa278,e02b71d7,113fde6b,1380e543,633286a5,60037ab7,70142507,55dc8247,b6eb6119,a6ef49f6,bb4e85e3,a9fd201,4f696564,42d3372b,fe44a9ac)
+,S(eeb23095,ad2551ef,15dbb281,5ef6d252,886c79ef,12c7318a,50f5d89,d73b8f24,d1a71b94,b9810ce8,eb0c3896,3e7cfb90,56a80f82,9d384eac,67d9859b,11ba1ddb)
+,S(64a6de7b,57bdf7e2,54beee53,6efeea9b,899a8436,e421e3c0,e7a2682b,54b7c21b,6427936e,2e344fca,c402e2d,2902fc6f,181ad190,e3f0d537,cf40c96f,27b4755b)
+,S(9e4676ce,d76daf3f,1c1aad5e,51e700b8,8207fd45,3cec846d,779f02c2,cc270073,5685c781,1d7610ad,4655019,5d8a844b,6ffc4acc,eb458c38,d9d74f4b,cbdc9e42)
+,S(95ee1228,80616ba1,76e0ee23,14428c7b,1d83c635,6ec843e5,d134b359,8d645473,7be34c64,41914c07,58081278,9b254c71,49a60d13,c6ee3a3,7d12e29e,a3bf4054)
+,S(e53ffeef,d92081a2,f91df506,6453cbdf,d0b1089a,c598da9,94fe4c03,fc6516ad,560f02c1,4a600d02,a2e70b28,5164618f,5dcd1b67,ac071929,ecc1d891,e4c59c2f)
+,S(9c332744,7c75488c,5a14f1ad,fa3d9974,90d4eb10,63afba83,fafcc3ea,62a7b68,9cc759fb,9a7fc3b,4d0ff7d2,24d0cc54,cacfb78f,5590eb8a,d689b6ee,19791c63)
+,S(e826d500,2f4315ff,77eb22b0,c8b74142,f1d1037e,81e3c58e,4ea39430,973d3c45,3a466e58,82f971f4,3ab9316d,fc7d53a4,e8ab16e0,2ae75045,5d8d1999,bc8b65de)
+,S(ced4df0e,af93b5c4,8dcf196c,6e9b16bc,dd38a87b,3fd67512,d387b388,115e13c7,fe08a63b,dd149dca,b4f2c930,99cd11e1,8c754271,cedd597e,910462c6,d68b74cc)
+,S(b056ed27,88ea50df,2b220182,df38f54f,8065e36d,e0218b27,ee8c5416,db7eb33d,97338375,cef457f9,ebe43aa8,28e9a1e9,8d514d9f,fc300a6b,a1a83db,dacf6409)
+,S(35dec74,2fef94a,7fe60b66,7341f6a3,eba030c0,4061d156,1c9ee288,5b7830df,2599121,39c810fd,e7f02fe6,eb6e9221,3eb8be6e,4d8f045c,aba1f058,789b933e)
+,S(3f23cc8,7733213f,d2e15cb9,942af44f,d7981e97,37c5af1f,81addfb,324e020b,24e8ccc0,d43ccde3,4e392455,dcdec100,7ffc0c61,3b5f865a,c8afc051,756e8f83)
+,S(9ba96c76,c0805cea,d7ecfa43,dba0d86f,c8471dcc,8bce9bc1,e06537ef,2bbabbdb,c1a3c433,1c2ae04d,be2f8e3a,8f4f07b1,622d9820,607ee3ae,e93bc37,f943def3)
+,S(83c1479a,31475395,8d510396,5decc9ce,1d414f41,610e2ac5,c2e887d7,d16a3815,84d4d018,1354cd46,e5f39bbf,f9fffbba,c123d470,d07c292c,7f085740,289b5b7a)
+,S(bacf627a,2db11d88,76e6714a,2857db8,a8d7010d,7b349ab1,fcb5ebc7,efe0a32d,a287dc0d,a44c448e,68b777b7,36ace20a,14b3e586,bab7ef5e,d57ae303,e8c83129)
+,S(73063c55,30129f79,10bfd2d3,a0147167,4ca888d1,d64d24d4,619c5cff,2776ebd7,d57941d9,44ccf8c8,2fab0362,b14986c5,9d71906c,d28584ea,368c4bb2,2c159489)
+,S(4ee8632,df55ad15,12ba4ce3,4ddb403e,a3f51a12,d445a011,4d08a00b,3b5d6637,c29f7199,dc30275a,39ff01a3,19723d19,91687901,9616fd81,88ae6c45,92b14820)
+,S(fc46e66d,68bbd41f,98b18a16,a23efaca,8f5345ef,b567786c,cd42afe7,d7e7ef28,8b42a2df,abf8849d,53daf38a,4a4c28b9,a0238231,ec8f69d5,d702715,a643c18a)
+,S(a71ad1b0,158d7978,7eece5e,2a3907b1,3f9b6b98,aefc7963,8a9de618,b3a7dc13,6fd7e86d,a956c464,e538a864,41b9b7d2,ccfc5c44,e80a66ea,4375e6a1,ef08bf90)
+,S(602185f3,6075a67f,d7bb9957,60c6af59,61a7c553,d51d828d,ed37768,f1860a3a,90d312db,706b835e,647a027c,e7a89d39,2265cd4,dd52e802,165c32bd,4d10b2e7)
+,S(db0fca83,76729191,b9d9976d,37dc62c3,36b4437f,943706b5,98e7b7df,607a77ca,23dedd6e,8eba7ebf,e0c9f0b3,2a1802fa,78699a68,99507dd9,c4f4841d,82efc29d)
+,S(6919b861,598d4f09,2a159909,fff8de82,237d0aec,339d884,7618f257,a4a54939,ab9f82fe,1fa53aa3,b85c0784,59a4e191,27a1a214,392c3ff2,f3e1cbdb,6f34b90c)
+,S(f4a7d2e9,f1f51ba7,c3cf0a5d,5d53a00e,877ec118,f7e39e39,299efb2e,8074bd59,9f050900,6aa6ace2,da4e6380,cbce7983,c9bea9d,99741be0,ef17e190,2c5bd257)
+,S(8a5d7210,d4f1de13,1091ae23,2fffbd96,3927317e,54197656,366b2e35,cd453da3,9aff8a1b,5b71da0e,a6558a05,a9306adb,4cae1004,e532aa98,abcd1644,b0580a54)
+,S(99eb23dc,e40d7159,b0a0406b,ea04b87a,2c9195c2,2afd79f3,f938018e,b8e86f16,2ef21938,a66efdec,7ff6cdda,a79fcabf,b1f17fde,9e80db37,82b47d41,64ecff66)
+,S(3bf16e84,1a874418,ac7f0d0b,9abbe781,611ad0e4,7acbe904,a99ba65a,b4d37472,1d3cb9f4,e1948cb2,fc88c0f1,9277437c,7d1138b2,8aef4355,1fb35121,a3e714ad)
+,S(a3ef83ff,19eb394e,b87c133,36388a86,561811ce,5449895a,f459fe4f,e7f01f3e,1955dd39,8bdcaccb,cdc7ddb4,711d08e1,9d687ccd,d335a4a1,45d13a4,8178cbab)
+,S(26816f51,da9b4e81,3edc024c,223dd6b4,5a344d11,f5ade552,63ef17e,70b1af90,46278e1d,1d6b67a3,57280967,6604e897,65611b7f,bbccfd30,22007a60,294aabd6)
+,S(5e1653c0,d640f148,ecbb14f6,97940b0f,1d47dcc9,48e7525a,909e8444,afdea823,9b8b81ed,e7cb8350,ecfaef22,92bdc528,8e499cc9,6feedc86,cd45cccf,4cb092c7)
+,S(1bd88e45,b0d3694,56348c23,125b12b6,b7725d6f,addc08f2,47fe9dbd,e828de9e,182939e3,2d8bddda,577dae7c,a1d40164,9f6faf68,69808fe2,98dba2f,b8a95db0)
+,S(4b03fe06,3adc4e40,315e754f,bebb7802,b80ab716,d4201fbd,31b12c5f,d9b73c02,a864d0a8,e2c5e519,ced537,e03f98e3,a5623c31,ea4a430e,73e8cf54,1c80fb06)
+,S(e20a515,7818f33,1ed927f1,3c46f3b5,2146860f,d085e68c,5884f1e8,45d35f61,a1c12002,1a79d6c5,89e466c4,3fd48f66,a924e9a0,a3d20db0,484875e6,96bcf328)
+,S(e3d11a4e,74a1e1cd,8be24d87,4885e1eb,4aaecea1,c802ba73,2db925c7,f81e37be,8f1ec01e,a1ef01f,63806787,b8831d4b,22b0a9c,7b44bc7f,73d2a3b6,861645f5)
+,S(8a233215,57fe0dbe,e8e92b58,4729b163,da71fa32,f400617,d1e2a081,3e37f6e5,af5e471a,bb8c7505,aea1ed74,bd7798cb,267dbd29,61c35f5e,93889056,aecce950)
+,S(3bbc0a2c,b43f4683,151070e0,7015cd6,997e8dfa,99685cbe,99f9a76d,6851d20d,9a1dfb8e,a5f14c40,b9968e88,b6083111,fd140843,96fa8278,bb0e351b,7cb4f97d)
+,S(8c04d781,82d83ab,e8c59dac,9407b4b9,65380f38,39431184,811e133c,911d1deb,4d74e493,fdb22316,fcf21340,88039534,c0a3e098,7198ceab,4a65260b,4c0a3db4)
+,S(467d4d0e,72312cde,df0aa7c4,62e03644,1ed9f915,c9e7e8c8,5770a4d6,d6a0291f,83db40a9,d7c2954a,30c624dd,f11d565a,f117e240,183a81fc,d4dda1d,70a1ce32)
+,S(b62f60cd,8e55a101,ab060186,941cbd52,ce73ae2d,e19ac195,d55f498c,45a3dc8c,59da48b0,7c6d2562,eeb0ed09,158cd20b,4a5108b8,fbf6fcef,428cc301,b314ef41)
+,S(6b5d6210,f98aee61,df36d7f1,9546efe9,166e88cc,6492183,379dd1b5,cb9e681f,dbfb1748,59c88a6b,72c8afca,830045c2,7c6de87a,c47228e7,7f246e6f,698a0d76)
+,S(88744d04,e8c7842b,68d2cc9e,f58977cc,548768db,48d3c286,49ecd0a,22300c97,84573aa5,1ea3c51e,5a0b0e42,5c7c90b6,149d2993,91085bc0,393f58a2,8fb9c38c)
+,S(fdf2c824,40f2ac58,19b06571,216ad938,d0218ba5,be4d3d4b,ada80e32,c32e37c8,c2abc4b5,9e961ffb,e48c6f20,58602dfd,9172031a,740668b5,5876d5aa,5d538f74)
+,S(4d2fdf64,1f5a883b,322273bd,24755405,15178ce0,9b4ce8a9,36648957,ef777559,22ba1d01,210bf31c,6421b89b,9b3217ae,b2837f01,c344a9fa,bed0b385,4aa41b11)
+,S(ec7cbca1,e743bfdf,81af3fae,a5c64a8f,5a54dccc,2afca269,9c461592,34ddc633,9f193da9,ea76a050,7b528c05,e5a10107,dc5263e4,98fcee29,5f57816e,4eab0917)
+,S(ff2fa113,771998b8,b801e779,3cb804c,da9cd6df,9d371943,c7fabbc0,44b44fdf,962127f2,1ac57670,c79d966d,b8cd6f0a,2aec6824,22cac54,23746bcb,2df6093c)
+,S(6d1b406b,2dfb02d2,34ec21be,c436d6af,4fd418c9,29f175ee,6475e77a,8a57580,b8945668,9dba8e2f,8f0693d6,d3e7b602,f157efe5,38b9ef07,b2dea23d,bce895eb)
+,S(4abb9dfb,449e00ce,46476727,dc6b96,317bff7,74c21df5,87bef539,644d7963,6086f2b7,c016c69b,2ad80786,89af1c98,4d6dbba8,7545d8e4,9c2c58bd,f86e6407)
+,S(db0c51cc,634a4096,374b0b89,5584a3ca,2fb3bea4,fd0ee236,1f8db63a,650fcee6,7ec0bd2b,aea1ae18,4bd16fd3,97b0e64d,5d28257f,85836486,367fe33c,c5b6e6a0)
+,S(ae6f6dbc,d0664919,a65e02ed,646de704,6996a382,21aa8e74,4954d22c,37fdb287,abe70eae,f8ae7404,11931379,19f9102e,c5bbb2f5,f5fefd1b,b76fb6a1,c3f2f201)
+,S(aea3eb97,cb321f30,bd0771a9,17fc9770,f4079a62,fac51fda,63dd3ac8,d35f6227,b6a53416,398515c5,e9133704,a287dfdf,878145a1,4416b525,6f1ae46,6abf39b6)
+,S(90c9f8cf,711d50de,81f7234e,f6c13af8,39355c06,3e891ded,51bca1c,852233be,8d95778,18f19649,f2d3d452,81358783,17d2c32e,aa01551e,d7fe21c8,3421bff5)
+,S(5ad7ece5,ab1d0344,5528dcde,34b48efe,fd954aab,920260e2,1495ed8c,86d976e0,2df2163b,2c3c63ab,bef274e9,3c46b6e0,62ac9444,b17843d8,70014b03,f78569b0)
+,S(b6ba2e2c,8e942ef0,16e6d3ee,13ab0cac,1d80ae7d,588a831c,b7844e8e,3bd28d9a,41180a35,f923dfdf,501b6b06,7d241160,a2ebf453,d00b501d,855ddb7,1bef7fb4)
+,S(7e409bc9,bba26c7d,fabdd450,bc84589c,799555a9,c6809cc4,13a4c674,7ff5f37d,c518961,9cc5afe2,e41c4260,481d8fdf,6066b034,19fe030c,e423dee7,79c9e6b1)
+,S(9486cd14,70b2f2ee,28d01060,6c7c4c22,2c72636a,a50b64e0,3008516e,de4f602c,886ccb8c,fc5b006f,df931785,f732367e,c062e9a3,49f452ce,aacfb74b,deb467af)
+,S(e7c11d7b,c8b07205,1e1af6d8,745ba05e,94b1ee9c,5482d83b,1af9ed8b,21338d2a,fdc4d293,828cab1e,fc9062aa,192f35a9,6ad4683d,797fcf79,c74852de,d75c8e50)
+,S(dfe627b,ff315cb0,1b1b67b2,776ded35,19b1a85d,8e802217,c98000f0,93d50bcd,993c55eb,bb65087b,6fdd2480,c9d68e6b,ea0f69d1,b95efc28,5f32a8ee,55f9e773)
+,S(a0f0cc17,fd00a2cb,5fc7c981,860f02f3,eb31c26d,54841dde,189eac65,a446f516,bfae884c,31d58a3b,f11077a7,d3edd37e,14bbe4ea,bd30fa74,ff5c295e,4b3b8969)
+,S(c1dbb6bc,bc14286e,d6eef926,c946b52b,d37e7f53,91fe1dd9,dd7b72ba,a3e37338,67b02d87,bd336882,f4b6fdc8,1a3a88d7,aa5e2735,139e1bd0,e793e6a6,12df7bf0)
+,S(20b9065b,c7d495c4,c92cb1f0,6eedf5ef,7025511,10343eeb,e82505bc,bb4bebb2,a6987316,5c231d92,bd21a4f9,60242d9,4fec71a7,4b24fbd,55d51246,10756835)
+,S(7bedfdd0,c4d8c38,dda9544d,38fc8786,55ab9a66,4f8dbf2e,3c54810,eda69190,9994f0b0,d4f52de,6ead0049,172fee05,365556e5,3c9d4591,690715a6,f8af77a1)
+,S(26762eaf,997983f6,ac63815b,720e97cb,5adcadd2,419d368,df4d385e,6b5918e0,81f5448c,e11b4dbc,24be2e9,be5620fd,25f0c0d6,76aae549,2792188d,5a27e6be)
+,S(7148cae7,ee18e152,c3354ff5,dda86e13,ea14f175,92d0d3d9,a944f4cd,f387bb79,bdb35fa,f6f86e90,41465efe,dac6bc0e,ffd42a0b,eee83365,93dcb4de,2310b18d)
+,S(27e45dd9,33ae2c33,a69ae00b,156845b5,bb4d8f06,593c2723,5038ce17,87bdbc90,a2bce33f,a93579a3,f8d9c75c,9271a2b1,7dfe36a0,590f2db1,f7cabfd6,51801ac9)
+,S(af0c7215,5b28ae8c,2a2d79c7,d81e603c,d0539c11,fed2aa98,fa2bf2b2,d7d6b7d7,ae6bdfcf,a25109c0,b80bfc,71cfac3e,3b5b26e1,e4f2c856,40d2c69a,a7ac41f9)
+,S(7b63c408,d4f8d34f,314e609b,21e8e372,de0f5a19,1accabec,7ecfe02a,63cbabf4,aa08009a,78fa96bd,8ceb6f65,e88859b6,236925d0,bccba7c,e0db29be,94f16327)
+,S(ab768853,14f3e88b,d63cffb6,8f4f3232,4f4b4801,41aeff93,94d58f9b,85c6890c,1a71c833,d6d96bc1,c33610e,d7ff1481,c9ff9841,157c59e0,5d3a036f,cf7f192c)
+,S(641437f0,7ad75112,f8375487,cc0ed859,ccd308da,4b25e5a9,953e351c,9e3bd32e,3c58f7e6,b255346a,f50f1ba8,3f008662,7d2ec950,84c326b0,ccc3a388,81a9b131)
+,S(f532fd2d,600ed478,c1dcceaf,fd01ae87,60f7ecc8,7739580b,9b4a7649,67a082cb,7393514c,71117d7f,7cdbb4d6,c803c9f3,221847ad,697c945e,440bcfa1,1285fa96)
+,S(33679959,2c4bab44,d89e6f60,8f882938,db73dbd4,75f0dc3e,e1fbd075,b1c7631,4c1f8004,6fe89cf3,6d078251,5ff57cde,17125d62,5cf675aa,1fd70163,49694fbc)
+,S(e184c16d,2a34ca57,b06b5396,28cac285,6f18b7e0,32970a5b,e2221a07,be56c9cb,7dffc17b,51ef9c4d,f16ab068,8c66df57,d646cd34,46b509c7,7f85e03d,e2c5bf73)
+,S(f8a97d16,2fb49d55,bb8de990,9a20c1e3,4f6ce6d6,efb8c68f,e26c884,6415d419,3cd3cc53,4dbfca01,9492e161,61f2e86c,5f20a83a,866874a7,ded4c2e4,42061146)
+,S(9eb6aa2f,6c6ad821,d46dd612,38d3dc53,28cfc406,ad71964e,b32de0ea,12475781,14501a83,79d32e09,3664ce34,1a419b28,53dfe3e8,fbc204af,cb33e347,6c45c299)
+,S(ebc2566a,68e68955,e1e42740,323fd401,7c40315f,ceba7642,5f887a3c,3602668a,75e8109,96ff56e2,655f9f85,ae9ec9a5,fab3bdc1,42ef063a,a06931e4,d4c7ea39)
+,S(55646438,a966ce5c,2fa5b29d,ba4840cb,ab9c5e4b,4074a9fd,674b7eb2,f52bc392,34631a86,76034a89,cfc3f68a,45cd52e6,2987d80c,e9a8e28f,a37020f,981c8d66)
+,S(b87f8309,befb81f3,313257b8,c7dd914c,82eff5d,6729f2e7,eceb0337,7b16575e,bea66832,59e4002d,6fbdf03f,b80bec1b,eda5e1c2,cc55c630,deedb7fd,a96ea298)
+,S(45957585,b440d63e,acf598b2,16e435e,24b6cf15,2892c8d7,953471df,70a0a93e,f4cb6260,776a4f4f,23ac366a,565067fb,b29739fc,233493a0,b3eaaea,c4b71427)
+,S(2c90f64c,8d9c42bb,1824c821,8f9cc057,3fe8d648,b960ee11,1487bbe4,9648ca87,829bcd57,ac643cb6,9f000a9,f22fcf57,69bebf7d,6b1d8ab4,da21be41,d3c25a8a)
+,S(eb327ac7,779c9abd,9546a3fc,c7731729,2e753912,2ba9f7be,36db0548,144b5efe,21ac2c85,8d2fcd38,8c32c594,d6e74803,2cbbf365,238565a0,8c439190,518c9435)
+,S(95ec7e2,272ccca7,aa2b07fd,d37d0f08,daa35418,1ae30e6a,dba0cb1d,2c6d007d,733786ef,59df6050,552ac913,c10b8890,2d589e7e,4f740f33,75f78fc5,2ba12b5f)
+,S(4b7a6698,8b4fa080,f27c845d,7ff17371,91104a29,2c6195f5,fc367c69,fc0cbbd1,8b043bd0,a3605612,87b38fd4,d99b29e4,8e52494d,8241207c,9284581b,63a85b8f)
+,S(89b2c58b,6df581df,352ab28a,619027c0,a9233792,fc6525e7,47dabd31,a342e6b2,300b1b34,d459e65b,e265edea,203b74bc,9b053feb,888e81f4,10045a10,d7f53a2b)
+,S(41099b5d,9f6a28d0,e4a7ff0d,b75ec487,1c926327,89f0c800,7ada8114,9bc43cf1,2a0aba96,2e2b92b6,e949253b,e06588d1,3e07919a,3594b26,995c15b7,7a62cae5)
+,S(bcb0fc64,9ec508c3,507396b2,9a663555,8825ea9c,1389c817,af7fd616,7229be4,168c7992,cf3bf5ab,6c3a12ae,922e647,13664db9,2d7bfe5c,2c746933,3a07d606)
+,S(7a3fc958,5a6256af,9e314ca7,55a8096,9cd3b3d6,f70349a5,ec719cd,ed8b762e,fe8b280c,29cd0716,35288526,b7179d90,dadecd78,39128f22,17d445cb,d3df1346)
+,S(377093e1,b968a35e,e0f229e1,e656da9a,7583c1e6,d06fe1,c89e3f06,61a8176a,e7c0860d,f6c9f461,7e6a4dd0,b8c0d800,6aba8e88,20aeb82,e6e0f8a0,c2c601d9)
+,S(c5eff3da,f4a5cccc,f1f27a93,361301a1,919b1dd2,5a98ea37,5ba63f14,4aafecd8,34e11634,26f983dc,18c8a02c,2222c2fd,a94129f,4e3f1d67,f424964c,dcb97a1c)
+,S(fc7919,eb560d33,44230f72,8368afcb,3c0fa6f1,52ec54e9,84ea9ccb,e63ffb27,1c7d3782,af766ff9,bc1cb838,8e4a7dd0,a04bc4ce,adad3fa9,4132842a,9859a6b3)
+,S(2783d7fb,49386d72,54434cd6,edc6f46f,b3118322,43d381c6,287d8b24,861ca5bd,a3aaf271,b806ac0,e3c45026,28f89c79,e4c68574,81710111,a9316e38,c7fa5c70)
+,S(7407a478,68d4e0d0,f77f8949,5e5bbf95,88f54a6f,fd35d229,8ad4b30f,2d8a02f3,1250d562,96e18cb0,aa5b393e,a933297e,debf3d94,59ac1ce,24cc11b5,87fdec9c)
+,S(c2d2cce3,2940ecda,77ac108e,71544079,c5899fa4,f8461df6,cc54dd21,a861a321,f0beb1fa,40bb8071,928b05e3,ecc8545b,a919eaa,e830db72,9e6de85b,f05a1909)
+,S(8cf6b189,c5051956,6a94e1f5,ab5e9530,d459a935,4cb13eb,349fac3e,ade8a56f,bf6a9d70,32e52886,ce6d06d3,b22d47a8,327aa788,1621338c,1606054b,cfcf9c96)
+,S(d6b07586,ed9f8471,f96ac5f,53277d1e,2deeaa2b,7fd09d51,ece6766d,29a94968,dab4d4b4,ce5655cf,4aef0d0d,5e3fa292,2f79041e,d2e23c9c,75be83f5,f09c5326)
+,S(a720b733,60a03edf,f33a0921,90795834,9e661d33,44da800f,b857227b,ef4d647,1f213c6a,721c2d82,6037e3a5,a0f4867f,13d79dff,bd44f5b1,1bb5c0b5,4884ea63)
+,S(558a5698,3b03c6c6,717db862,e59dd075,b39f9ba2,ca01b0ac,95a69cec,1f3a5ff7,7e07c752,db21b68b,21738458,a045fc60,fe3ae869,887fd557,92ecc6c7,d4ffb1a4)
+,S(b927dfc3,278668a8,c5329941,f11d0e0a,a7c2d9d7,f8d6c263,9cab5550,10e14ca4,3ce83725,9954227b,b420e35f,77705225,72f4d854,999af552,4b8795c2,b723388c)
+,S(2b70d499,1085aff5,88e23ed5,ab55a374,3c35f71c,651c0165,13f98ecc,4f0e6da8,df413b4d,aa1e5c9c,a2398469,7d82762f,a701413,1cae25cd,1a94f02a,506a8b06)
+,S(b8836cdc,f72f6e00,99a9181d,94ba77e9,e1368e54,a62e1144,1421f2ef,2daefe56,9ad452f,e31f26d,cad7014b,68ceaeb6,1beecaa,5394c359,afa52209,e50427ce)
+,S(252b297b,65f0e23a,9788b48,f33809a,ec66b445,cd90db00,4dcb6a80,c4af93a7,8cc4e0c4,3c346211,736a3bcf,c24a58bf,9f77c7d0,c53350e8,6cb0de2,60916838)
+,S(9f3d30ca,1c15cc66,8efd5fa0,3d6b7bdb,d34f2704,cd729892,aad9171c,debe6330,448b6434,f95ee7a,bc056974,f1476171,353d9b98,4e22057b,38662327,b23211b0)
+,S(8225e16e,5bc9add9,ff8a771b,5bc7bce1,653b545e,4e54b9e6,6e2d2985,2fd35e49,6254c5e3,aaefa2c1,6ca4e1de,87f09d94,df836b9d,d100612c,7174aa75,7d0570fa)
+,S(a7dcee48,4d6e99b1,b72a80b7,4de255b1,74f4767,4d3c5799,4669ca6,aad02ebe,1d6f0cfa,76a2901f,4861f541,bef7a948,78586178,8c7c42a4,2db583ba,1c170a7)
+,S(a91445a8,5d4ce90e,98d3372f,d2c664b8,9a6baa2b,a396fd1e,210e315e,809976b4,adc4c68b,99b072b1,b51d1512,cd94007c,72deacf9,4e7c5449,f1d83876,78b1d100)
+,S(7462c9ce,907c9655,75c41096,3510e00f,6f6ea6ad,886cdc79,ed685ee2,2a7ce1f1,4ffa41c5,f02c2299,c42df5ac,79cc4140,47a854e8,332f8f2a,e67ffa20,bb71c7df)
+,S(d42895f3,dea495bd,af8e36bb,6a79f234,dfd85544,965a8506,5d38ca86,28cd4f40,2fedeb18,13a11c42,e7869b20,7bb8486c,9821710f,a80d9bbd,59c92ae0,b50d9cf5)
+,S(ef9b6b62,ce85588a,f13434b2,7ef53d12,e8291e6d,76a65669,c29d99a1,4d388adc,159f5fcf,9af0c962,ed907955,e91407ca,80261255,45b6938a,db18aee0,9bbf912f)
+,S(4003f1a0,bc659daf,df5fb7bd,bc96afff,92877c7e,2a693f39,2afb06c8,fdbc9f32,ebffcaa1,7458f0b0,28ff1dcb,74be865d,7faeafa6,c2707cc9,ea685eb5,7961fef9)
+,S(4390488b,6b03d851,648786f0,7486f5cd,aa9ae1d9,4867de,bed7036a,6ac09a8b,78329de5,a10db56b,1c35b88a,21ddf393,452001c1,29a0bd6e,5dd76a63,8682f07a)
+,S(ae6da0d2,9ea3fb66,b6006c56,5dff8b41,6074ee16,f9ff86b9,60574067,abfadea1,74caaa63,dd012a63,e76f0916,f370614e,29e3f01e,b88b49c0,5ca33234,c11cdac7)
+,S(78f879df,98614721,b7c65652,4e806f6,35942e0,950514fb,2fad8a86,bbcfc72a,4194e58c,478ae80b,fab661b7,ffb85cc7,2318aad3,88d61c68,a755296d,38281ac6)
+,S(80684365,4f41b0c6,d6cd51cc,838355dc,352e028,7b1c1d1d,edd2f96e,5fc97e01,8b0c223f,13c61b4e,1e141a0d,35f29a7,7546bc7e,3b1e5c45,262033eb,92b62461)
+,S(29509d9f,4fd975f4,6efd1169,1d97d0aa,f83b5934,9c797010,5cb3908,4b87466c,1477eb75,69a0af96,c9cfccbe,135e3c86,a33de585,2ead38da,8a0eba6a,6d0da81)
+,S(191d1443,3d9c722f,c1532fe,33c63a9c,4e3d5741,6ebf799c,2d8ffeae,df1dfa4a,5bd00409,b6b571ad,745ecf83,91884eed,a5e3c7b6,65ec9706,eae4b4dd,703a2cd8)
+,S(2843d42e,d2738168,5eed65af,eea82bf2,a50f0e1e,3db201e1,ebf8b159,1b0155a8,807cea66,c0fa9f53,b47e6e2c,232cb225,77edafb8,99a6f98,ff87d091,bbc63ee8)
+,S(5568b7b0,9656d36f,5347514b,8e8212f8,e96ed02d,4516c018,4d653bd1,2bc8f644,5b44eba6,54836dc4,3fbda30d,7ea36406,4960459b,a4128911,8b2d8638,50e60d87)
+,S(5b84e0e0,809e44a6,9e8d81ab,595b32f8,4a7dd421,c073fd6e,5f38ec5e,b145e803,1a65a2d0,fa791ced,72fa1522,ae431155,7e6109c0,fe934243,cb43d3ef,ad13d398)
+,S(ef42c56b,dd241071,47e1519a,18d32910,675ba842,92cc8ede,900a64ea,bedfa672,70151747,33359977,611e0c25,4addbf6b,26a618a2,31474e3c,c9e7bcd3,8bff75ac)
+,S(48dff2dc,b50d4a56,4be6ed00,3b1415b4,adc653ec,87eae94c,92b7c129,5656eb63,a9be97fb,53afecf6,f0bc59e9,8bfad542,fa29e63d,f701f6b5,f0f66081,8d643928)
+,S(672e90f5,246ad174,10c9a2df,c22b098c,d1923bd4,19fdc337,f881e4fb,4ae938d4,73fd3380,1fda6db6,883e678b,31e5f09e,f331b624,5617ec9e,97aa28b9,a1781f19)
+,S(59cdb9b1,71fb819c,909e094a,95dc15de,dbfe5521,4a7cb723,ee7cb761,4b315cde,55ac212,670b4a63,ecf3f8e7,3082009d,7f2d38d9,e490ca18,7a6db01b,e88351a2)
+,S(5ce38d0a,357a58ab,134db879,b99994c4,6b827f82,8e1ce8f0,43108de,ad2ddb18,5e816202,d9c1d86e,c2f84b33,ddbcc51b,94748c67,1089c9c1,745a14d9,3b97f716)
+,S(c982196a,7466fbbb,b0e27a94,b6af926,c1a74d5a,d07128c8,2824a11b,5398afda,7a91f9ea,e64438af,b9ce6448,a1c133db,2d8fb925,4e4546b6,f001637d,50901f55)
+,S(383cb084,79e61bec,dca81d29,7796d00f,60bfbcc2,83c83d31,725f5329,839ec818,26e26fa2,49008933,8bde0498,15f34d9,bbc3426,ad8644ff,db1a190f,79dec91e)
+,S(e6945731,2ad4f14a,71917b52,448011df,28b88c9b,6ac84550,248ca4fd,102f612b,30ed2082,51fc701e,5ebeddda,c9eb0b44,c81cc86f,9706889c,1b1c3386,4d76f53d)
+,S(2d0071ba,8f799352,212168d2,1262a729,250809f2,24fa58a7,f283c4c6,bb9976f7,cdca6901,4e4873f1,16945544,800079d,ccc118f1,a5709b03,c872b017,5f1dfd8b)
+,S(c82b9457,65b74fbf,91cf35f0,679877b9,da35c2b0,8437d789,8d748f22,1e927e,2e504dd1,bb06bfc,7e057dae,9aac8f07,b57a0f2a,39b1533d,9313d9f2,45fd6a2)
+,S(9c1a4c2e,7eac21a9,fed135ed,e737dd19,2654eda2,fb3a4227,63cb6328,75bbf0a6,f3134b6c,12f71c58,226c9128,9b7b5a06,80eb6646,e9da2e60,20008efe,10e9197f)
+,S(971d3d9b,bc693222,ed8bd645,e80b7cf9,9b170a36,2d57753b,6a2ac27e,8d6c9b28,d63d49a,e296dc2c,6c4a73af,7fc5e86d,e2039433,f3858980,80a36f7f,91d22e2e)
+,S(f5493a73,86bc1151,23f29f2a,e0619e05,660a317a,bf5ac23f,a67802fa,8b917d2b,e6adbccb,8b780530,2b305157,b427b8b5,38455e02,80133e23,9642306e,65e0f1d7)
+,S(831f123e,500e0a0a,e497a321,5ebde2ad,763244fd,40b386da,dde05537,99b6e014,35616862,2ff588ac,552fa508,ceef5ef9,ac04af0a,9db6b950,f44719c8,cb221d6c)
+,S(9b8ce06d,18474c,3394c334,2ef385d6,7a338c22,98e92975,f1728c87,897cfb35,76940220,b8dc3e04,7cda50c4,c1f53747,7ce8757,a4a3731d,712cea05,42a40d72)
+,S(f70a916b,a98d2bc9,60172410,42bf3e14,14f06cad,dffa7cb,1e8137a7,3fc5b855,f1b8c1f4,70d7896f,f39a3fbe,997a88f3,b5426d84,43c4023f,ff98fffb,280275a2)
+,S(2d2ab7bb,c44e7fe4,ab283661,2f621d05,a64d6909,fd94e599,92d52afa,c0763d56,53450e00,2a6991c8,68fe044e,8b61c2d3,c5fec8af,3605728a,e57d32cc,c55328e8)
+,S(8178deb8,c516978c,ea25423f,3a913157,321ff7c5,5d8058f3,dc9b9d46,f4d10005,16a71b2b,46c9d303,f4ae6a28,235249bd,f9c00146,a26b6bfb,5983bfb6,8d6ff4bc)
+,S(b470bb76,d012ba7e,67ef9c32,add59940,1f700ca,16003011,26e6a692,36b56a64,f7d093e0,7d179861,871f36f1,58d26987,1775f082,a2fbfa69,27cc2272,614fd95c)
+,S(164f2aba,837cac12,19b48eb3,30f02141,d3a89921,1cdb3f78,fe17133f,e2de29ce,3bc05608,95f7d034,4a9ec79e,b821c06,c2837c50,66925197,2c076374,871d28dc)
+,S(c77a3a04,2a86d2e,f512268b,35cbb89d,e6a210ea,883e2283,ec59fec5,12e725f4,2ebcd56b,edf1a07f,e587e592,8ed602b3,6d1db4e2,5b49e914,8dc9eedc,131cfba2)
+,S(e2defa1,f714cf71,557a3f1d,71c6abe8,11df5504,da38e9f,60ad335,3b11349,5ed64303,7a53bbc7,2f41912e,a657d944,c5107da,3b9ab54b,d88b545a,e045f229)
+,S(ee2d12cb,b4cd9e4c,163fca1e,5a4330af,35280ce9,cc1d57b2,d2112443,b6313e3c,e28b1dc1,a4377c65,838ecafa,bfffb696,4057fb6f,dd4baf08,49f9223a,ee153262)
+,S(4392c96,73e6deca,f3c39c34,f5be7c3d,a2109b45,2271467c,78f256d6,7d9e28bd,7fe4c183,ae352533,b049edd5,343a6bb4,747d63d7,d0f406fd,5902a886,110c50)
+,S(5972e2ee,167374ad,93a655f1,6008f49a,f5586b2,f81197a6,712ff31c,a0d6960,6d70fc55,d0a57c74,8a2e485a,d903bd72,779343fc,7c090847,bc3dec1a,6f7c71d6)
+,S(a85d800a,fc2c0315,889f1faa,29e5766a,a180f31a,400e3c19,85589af0,302c78aa,7429d7f4,903c76a0,a4437b41,92865b7a,ff5aca7a,52dd32a5,8f8b00d,b97ec85e)
+,S(c9836b0f,d594fcc,9a89e85d,7d506386,ccee3f38,72759cdc,9548569f,a5f1c245,9f0b1926,93b7fed6,2f1a7d06,fd716727,bed1c2c5,9bb431ed,943b7082,d094fac0)
+,S(ca2184fd,b2b84654,d0348e5f,6d963193,75f2c441,ae64622b,588cae7f,d202bd3b,d1222820,3d657aac,493dbb2,fe9729b9,e2563cc8,1f671626,83c4f0fd,726a4de9)
+,S(9e0515c6,3c9b9664,8762704,80605d56,b5dea0cc,c7a4c66b,44a2e605,36941fd8,29de3224,a2eb2d86,afef789e,2dba061e,95f0b762,117ede50,6d4b21c9,54be831a)
+,S(42042c25,33203a7f,c22cf7a,fa5f3d79,8a3447da,51d66f60,53a8f000,af5dc1cc,f075a67a,6d6c3872,315420d5,bc13d13,c54f3c1d,61f73d9d,ff688da7,f5e6c05a)
+,S(6645a1bd,4eab02be,45884ffd,288955fe,3f5a68ca,9ae431bc,cd3967c7,12295b96,231f79f9,1d264ed4,28ed4b30,f0e92c4c,bf902865,24050b67,30cccd12,bb84cfad)
+,S(4e281e6d,2c316e88,231482ab,1587de37,6898f3a8,870f475f,30bd1ee8,d4b32f9f,f48cadc8,1c119edd,e5f78062,cddc3416,c3f708d5,f37e4910,11ef7581,c065602c)
+,S(77236414,96e41e9f,f13c7ffb,c7a66203,4fbaf7d3,e432ce02,fcd54ef0,4aaf5136,222e0174,d6cc01e,fb4b4bf2,9000f697,98bec7a0,657f328c,80083074,242dd218)
+,S(3f2b704c,8d467859,ada6070c,b1221840,18ab009f,f7b5ebdd,af31d977,dd45860,a47167a5,146aeb5e,8c38dd21,5d61a2df,e2b6ab8b,fd05ea9f,b59faea8,3b4dd88a)
+,S(794ec130,d243d811,2ebb70f0,35f983db,84b3acd0,ae4c5b51,640b9e92,ecad4146,49edecbe,95c25c7c,eeca537f,937aef5c,658f2dd5,d8c0de71,c80777aa,d07be84d)
+,S(750ff9ec,e363e12b,79b04cf4,a7b1c0b1,49c554cd,6e9fe3ba,808c9614,95a96aa3,5a28269d,d1c5a3ed,f4e70f14,9a060b42,2d4474bf,1e4c6dfb,2de1502f,7a1d59a9)
+,S(d65c05d7,df6668ec,b96c9ec1,fd129462,263b082c,9b7f4169,6335fb2a,b66272cf,d7728c5,1c10d42d,242cc5b7,fc77fdad,7e48be06,6b2f7c37,891ba4f0,de188839)
+,S(d3804cb6,8cb2e9e9,b5b9d270,db9a172,aecffe39,72a3d2f6,1225bef5,595190c3,11fb350c,9568648b,30af4131,46053428,2879023e,6ff0d613,482c2471,b5e30d5e)
+,S(f762de26,35c6349f,6cc95c61,9ecf8d37,6a938241,1106db3d,b34e9e84,70351bf6,dc67f9e0,c8a50f9e,e753352d,a99112e4,ccfe22d,3e88410b,1cadc0ba,bc9fd814)
+,S(ab18b4bf,a827ff4b,17ee163e,d17e3927,d7dcecee,ba87ce7d,ac5e5767,53b87a71,6db83bd5,73e40926,c882bc09,c4d07f72,29706d1c,d2b1ded5,b57ea9b9,2b0da919)
+,S(f754c248,fec21ae8,da343a87,459622a,b12478ad,8f63ad8b,f5c66695,198c95e,2cfb76a2,5f9c8776,b848d8e6,7f544774,e056ca7a,32bbae52,93b27992,6052b1bd)
+,S(f8d9473e,3c3f0798,f893ecdb,716bca16,103516c3,1341c8e2,c2462d4f,9a46c51c,55f0065f,a422fe3a,26b314da,c7547835,5c53bd3b,e11b4686,9e05be92,d7924e02)
+,S(8639942,d294cbc8,9a75fa22,5b29fda9,2f7c5ab4,bfbc4395,352d050d,754eb741,3913ea2a,445de35a,36d79abd,db3ed7cf,741da883,4cb81c29,6779d8a9,e7d11e4d)
+,S(2a588c6c,706a388b,f1719230,b5a71b4a,6857282,83aec61,794d1a78,bb95d5c2,af25ed77,1a56f6d9,6407f07e,a7e11f97,61f458ae,bfbb1b00,96842c4b,6cc47592)
+,S(137bd1ee,8931b9a8,b26dba4a,d9a5edb0,a5459717,22e1fe3,37ee8d54,20a0cb6,cde9fb7b,8197c77d,273e9f0e,e87d76a1,eaea105e,21154b7f,f5848a30,17ceea62)
+,S(46580345,c686313c,97152371,13af2c2a,f9b5fea,a1e0bb48,d21bbe32,d2de2bbf,75bc5d7b,b6329ffb,2bfbc79d,b66f4c2a,7edade8e,a16bb051,a3a8ee9,ec92ef64)
+,S(4a149252,afaf5acd,982fc491,c26af545,2ef93d6,1b282a85,56d5ef64,391bd233,fbc100bc,10b55b60,96656ea3,863f5d4b,bb9e83fc,5a25e59a,3b53d78f,60cfe285)
+,S(894ebda6,fc0bcf8f,e025131,3475d64b,95bdf089,7d9753fa,ad0f92f2,15a01f18,b25f3150,155772cf,c69d0251,97d37ae0,1e4ede02,e2994377,9fae26cf,5f5ec056)
+,S(e70d8a93,a91b891,30def1b2,bfd720ac,2deedca6,f9e5a85a,3c2a6eae,45eb032e,bd3aee53,a3b0ff6b,45fb96ea,4911cb02,fe102681,878a1b0a,693fdf11,4cd9f9cc)
+,S(7cb1fdc3,e5ccb1dd,4a16765b,f9546b6a,1189883f,135d447e,eb245fbb,4eb36852,90ee0d6,becf5ff7,b80edbe1,75dbf258,d1889008,a8fed4e0,1968e2ca,8fca582d)
+,S(51278ad8,331da17,8fc90a21,432b9058,b39f57d0,31210685,bf9bfbc2,87b9bfc1,5aaf547,f39ce678,8c3ad759,b25db3e5,7bc1f9e1,f75bc040,536ddce9,d3a66b6f)
+,S(f0eeaa1f,c52b3068,48b56308,22fcf0f3,fee5008,54e276ce,e9fe9904,54f59cdd,90ff89b,944d70bd,eb5e5e01,6afbeb30,d51cf7fa,81182e63,ab3bb2c9,f2124f02)
+,S(36fc9bf2,8bf90fd2,613670c2,27b51c00,df5b4caf,252b5df6,648ddb6b,3aeea71,887c3876,f1ac6c28,606c8161,4ddbbbe7,d975ecc6,9fd9075e,13d0e3a3,e7836683)
+,S(6e31e26b,cf9436c,e14d2d04,1c29f62e,135c549d,5e65bacd,ba4df2a8,9b91b68b,2389684,9e63bdaa,b5f7d9f7,7a778b31,94c1af87,d09a9a85,85896188,acd0e7ae)
+,S(c5044649,a4b1c2bf,ac6a8a1c,ead33aa0,3da9fad8,4f742eac,35792672,1d98e864,6d2602d2,83e696bb,717d1327,cc1143b,45fdc84d,b8d400af,537b201d,a7a1027b)
+,S(a933e71,f13c44d5,bda8e963,b5a007bb,b9b2e84c,c45211e6,eca804ec,6a99ca28,931bf3bc,ec45e2f6,e6571207,31d42fdc,c3ce0279,542114f5,c1c0f659,f6200faa)
+,S(9003f61d,840c2d62,1ba98884,e117038b,b8559d0,b132a1aa,83adf65d,f8e4a58b,50c75124,f72b3952,9feb7ece,cba26854,1388a1ac,73631532,b67f56dc,e8d30895)
+,S(fc807c18,3cb370cc,8638abdf,c17281a6,914e21a9,e9f3e2c5,33fb7c37,caa0a886,3ac79d3e,75ac1d5b,a9af7263,9d564256,1ccf6fd0,6b8d2cde,e9d24a1b,e8af00ba)
+,S(3d072ae4,aca4ac23,b43b608f,150bcd4b,cd780dae,7e4073c1,86293cce,dfee9cbd,6d9e443,f721c9f8,a98fc563,8d7627,f9c60414,67da3857,92fd55d2,7e65d9b6)
+,S(d0cb8594,7061b4a7,d2bc5eed,522faf8b,ba6e26bc,7acb1d3d,106aabd9,a7f80dc0,fbfd0f26,e9d0dcc1,a0107b82,d1a9876b,8d7562f1,41f0892c,9b739e47,7b012e0a)
+,S(e4edc0ab,6416c644,1e59f46c,c7221cc0,267aadac,242cee32,41a6d25b,635bc9fd,f41c3ae9,cea7b4c4,4834482,980807d1,c496fd4e,bb06964,b84c1fc3,4fcdc71e)
+,S(6233b50b,2d3d9101,8f5a83c8,84be0f5e,ffb80641,1b0b5271,557d32ab,dd7eb4b2,8dfaad24,ffdd2ac2,5770f21e,328588b1,34a3a2b,dda40399,7911ef19,855dbcc5)
+,S(6ca00162,e27265e2,27b4e544,7e981f6b,c427e65e,bde295df,9434b7dc,52a19ab5,d33f5f63,a8f227e0,a43fe297,babb3a07,223e8916,e153a5c,e0f57e65,1154cce1)
+,S(c01205aa,5d2a8d5d,c0d328ae,7ce7cb16,d6c9d992,8b6105b3,cd68666e,36fefcfc,b65e5f99,c4f48095,e1bd6f6f,6af8ba7e,cf2988ab,ffa9bb45,3ad01859,e831d3e)
+,S(e3965393,e6268cb,61d6fb19,58050f39,7b8a597,4a6c4abb,4e0b78d2,dae0e155,1f78ad46,2ed6e1d9,18004892,85383b2c,3f971fa5,cda0c828,a2f289bf,80731737)
+,S(27bfd0f3,702a9d43,50c1a6,9fd990fd,3dc03af8,50bd84f8,1248222,6cb099ce,22e16b60,e8caaebd,19b0c0bc,e40be7c0,c49fd3f0,d9094f39,fec1b1c,bc643de8)
+,S(8210fbc0,23319565,9eec1777,12997a89,2a37172c,6f75e3c6,cbf080a0,6f96a2f0,1ddd7792,101166cb,bb11d552,85e1eeb3,bfacbb25,6d1a5097,16dea91e,46afee8d)
+,S(15cc66b6,5fcbbd80,df15298a,25e2ff80,ae4d5065,f8befab0,89cd21a7,4e347b5e,944b47e9,35748296,deb324c9,f5616d28,7b225b34,488fb34b,6ddacd32,7937c97)
+,S(eb7b7aa2,45960169,1ea1a482,a9e6c35e,c7bb08fc,726c2c4b,ff801ae0,94c97976,4d2e9570,cc187791,fcbd20e9,3f0656a,f5596f4e,104c3f2,27c23f82,2ed1b1f6)
+,S(4598fafc,ed29e844,c22436e0,996a8469,18e7c106,b40a5ea1,5fb0e7df,5e9ba12c,e73d96b6,d292ea2c,39779dfe,7f716609,978a8555,e5b09629,7dce228f,f35e6093)
+,S(49835a86,3612e594,572a2591,76f90e18,e57d4dfc,1910c705,8e37eeb3,1a8600f7,3b7613a,fbd2cc1,cc23b147,e0e80d36,464c08a2,e488d7b9,8250ed37,dfcfa531)
+,S(3a6d6fed,1fcc8067,32a3177b,4dbdc33,3cbfe0b7,d19305b9,965916f7,ce335351,cc3f3d8a,314d617f,148a6706,d7f10641,11eb2b56,1bd1dd0d,f2986925,5a6624ea)
+,S(21208586,6860fe30,ce92d2ef,b2035b74,f672a024,ee7baa78,fb0d6c7b,3ad7a9f5,aaf145be,51b1ec,3fee8be1,1f6e9d73,96ff0ce3,41f25d7c,e1074a09,78bebbb7)
+,S(f819132a,c9bb2f09,663d609c,51cb11b9,833ac082,6ceffcc8,67cda04d,266e4e06,b1fde638,ec6a305c,aaffd1a0,6404aeec,c52f48ef,7646abb3,7e227239,4c891de5)
+,S(536c05d8,8786640c,43734d72,aed62d9,168385a1,213c4428,423a9437,c2ec009d,7f4be100,d827de18,68bc2b43,c83a08c5,fd84ddee,1fa9ef13,4b489325,db6df0d5)
+,S(4328123e,c4c6db76,37ee3ed3,42c8a859,9de2fb1,a39a24bd,650b73ba,a1df722b,81c002ea,1277753,e6a22fa7,1b4f86f5,4ee11f10,f5d5b15,94c9d7e9,63a40857)
+,S(f3e156fe,f8529951,86a9e536,f985c1,6a85fc32,d50e9a08,1550da68,112a5f17,91ffd66b,56ff0e6f,65d67e83,c362b853,a2f441ce,7418d091,5d5dd09a,b48892d2)
+,S(32ba7359,84e13f42,d2e8a716,a54c40ac,6645a1af,eaf030e6,8242a8d8,8b456cc9,67ffcf1e,1c32b150,a82ab317,8ef24c93,f055765c,9e7e6200,f868b183,bcb4c6f5)
+,S(cb9c2b3a,43d105e,518674cf,64d8b4aa,9c868b93,18abbddd,ccabc0ac,59829311,1fc67ef2,233f076b,ded3ac47,99c859d1,834bea5f,bd2bd5db,242607ee,842b691f)
+,S(e14f2858,b7bf7070,32349695,e09bcd3b,5effa957,abc19e85,6efa31bd,2e9234f0,3e04e49d,d3f3fd39,883cbc25,80d5ff06,cf8cbf0d,4a895761,f3cd15e4,dce08bdb)
+,S(156beb7b,1c27b8e3,cc78113,c97ff026,74810dec,58409e01,d7b7388,87550d82,c711730a,80216ec8,352adf2f,d5939991,3a8e92c6,c16c17b,16e27a91,90bc5371)
+,S(de5ea7e6,b9b46864,4b80e495,9a2ddaa1,a24a3399,f8039355,7b798b5b,2c55d600,8901a027,e6a823d2,dc0a9d24,e182cd52,b9b1de67,22b7f7d5,3a03c615,8cd48ee8)
+,S(8eddd368,8bfaed46,25b7312e,7b2bf0ec,aea07414,a1281ade,b79b9e3f,ec17c3c7,2db43af9,26171d34,d5ca48a8,9223e57b,59b885b1,5c4f7231,6d8edb6c,7955da7b)
+,S(5c971b6a,665ad1de,8fa489ae,22237ed9,87872e0f,ef95eb85,fb2ad3d7,f0b1d4e3,4d71f598,37c2af6f,af32ff7,42ba01d9,aa8d4d7b,302d39a6,c4fc693a,5f8b1f66)
+,S(edfb253c,28212b6a,d5b66589,a2a8f1cd,bd3586ef,34254768,85cfb70a,46b9e228,3e5b6608,b7e81f69,b8cb26b8,4f306292,594e42e0,25134c1d,7f7b2a24,b2616c00)
+,S(4395f24a,e127772c,db163dd4,e22574bb,d2373cc6,b2c67384,737c56b7,dd525c13,bac6e725,4c800c2c,64896913,df739574,676581dc,1b4447a,819be64c,10103526)
+,S(81100ad5,73a766b7,f8913b64,b5f5a87f,8c782353,5f62a3eb,182f0ff1,946866f5,52cac16e,325b0899,9d068f7d,51dd9d5,c6afb8ba,9870a9c9,d28b4170,e9a00c73)
+,S(fd3a0551,41168146,6ae358c3,aa14216d,dee3a05e,e5ddee40,7f72347b,eb95120f,2af2f30d,45ceb12a,b89b7b88,b7e04b20,11a3c607,58ce7250,e4c7bcd3,da8ee5b7)
+,S(17a55b58,a7eceefa,3ff05b6d,fa17d6c2,76d1a032,abd198fa,4e3fc3ef,e6435ff9,d7273958,a3ad67c1,fdcee72,e71f0536,418f35a4,57e06240,bc99bf71,b9574d4f)
+,S(870cb7b8,e2ca5ea0,8c5c73ae,e15e8b22,793fd005,5ed7003b,c49b4089,3b789b6d,c33c8b40,7b701caf,26d7a9bc,e22644a9,4badbec,ad509cc6,a7b0ee04,1be67aa3)
+,S(f951c5fc,dc46ef00,adc53c89,a50ca0a7,ffbf7c36,d80e4897,5452cc1b,4e71f8a7,6ae2f821,7849cc24,30864d7d,24df9e59,c1705b92,5792e648,75120738,c792c95f)
+,S(aeb8077f,3b92c676,ae11bb06,a18ada3f,6cbd832a,1637ed61,31e4902c,96a0caf1,29f41d1d,f5d4a430,94e75fb9,8bf317ff,6c8a6d7d,b37ccfd,e0232e1e,afcc1e35)
+,S(d46f4d97,5d2f2e58,6d18a7e,5d8587c3,8482b78b,595de60c,b9d2035f,313b78f9,95d781aa,3bdc1176,396154ef,31fee42,f704e199,4316e33c,1053491a,e86392f0)
+,S(6afb44,4b4bd89f,2e21b54a,c49b9ec3,af810b97,73c76eaf,4f3a5f1c,7a29b201,3502901f,d7d3b4ce,134ed90d,1388ab37,64db460d,bed334e,af061822,6ebf932f)
+,S(5f02e582,a38b1703,a7bf6086,9587af5d,e6634954,cfaf8394,932f7ed,ebd86976,a0487cde,92f3a796,b24b06bf,740b8fe2,ccfa5d0c,a2b68a7d,ef46a005,2d7afec2)
+,S(26427482,60432ced,5a07b885,f354667f,ad70eb75,9c556e33,c6652d3a,a0599fe,119238fe,2560382f,d76ea737,9340453b,a63867cf,6e044c62,949f858e,b828ce85)
+,S(6b2a3e5a,d327adda,52b19a7d,d5e837ed,4f03a5a7,e1e5b7ff,2cd66660,469f91dc,2f9f4526,6b482fa,f336560,1da9e945,354ed265,e8d7e57a,22f04bce,8a54c6d9)
+,S(2588b88b,7e214fba,ab10934d,def13e8a,e5fbaf77,d7497dc4,fcc0345c,435daa79,3e5cf90b,d3ba6d4c,8d7f142c,ef1a51da,61ca644f,acba35e1,51ebc114,c5435bbf)
+,S(d9484146,92852eef,fa8178b4,a01404a,e4e3d846,c20c3fcb,cff5cff9,de551a93,d5b0fd7f,e628c427,434a1219,6ad99862,13ea0abd,969864cc,dbb8258b,96a6d5a4)
+,S(5cf81fdc,3a2f2087,cb64b1c,9b6f4754,5ccc1e78,67cee5eb,9fe9c4ea,3b0de2ff,e0b0ab1c,f6bb8e5d,f7ddc700,5ec73471,e7ff3125,daf113,1b78fb8c,15bc0d7d)
+,S(41b4ef7e,b719fdb5,704b3f17,4132c694,f8ed2471,1677a320,3b866660,dbe879a7,a6fe65b1,cbae2235,cda8b459,eeac19a4,9f44c2aa,1c8a881a,e12093b8,3621c85f)
+,S(43ed572c,41f691e2,a8dd1691,86404ec8,7a4c0a3f,406f3bdc,5c2709a9,bb117af7,b7b9e1b8,90b40334,6bacbbab,7be4d477,90a2b093,dafbac3,fd4d2073,fa481da3)
+,S(4e010a19,223086a6,314bb526,2f1955e,81722b41,e85fae42,1c338e46,1b397de3,f0d3f11c,3475ed8,44876e7b,3bd0bb8c,283b44e3,70c46ec4,a6159a27,eba65fa2)
+,S(b3609cbb,7fc86bcc,4dbc385e,81edcd84,45e15d2a,7d355e22,41dd442f,ee11f36b,8607e5ac,a3df34ff,804017dc,977bba88,c308911a,aa1698e2,e6190c8,dc9c5f68)
+,S(445e60b2,543fbd3,7bd68cdf,6db1125e,d1bdd6b6,b27249d1,df96e43e,df965b4e,a5fa458a,8c4ab47a,bebfdc7c,f922e713,c65f8b52,287a65b0,b5dcf0b,c7715fd1)
+,S(709f8227,9264c99f,86b59a7b,ef14c189,be875b49,e00cb64c,f9dbb643,10f50fc9,168027f0,cd28d2be,8a69064b,468e4de5,3d4903ff,faaaf628,83f15031,58960d10)
+,S(62aa200d,cbd1240b,a252e725,a333f21c,8a2e9d5e,fbf18cdb,e1567ff9,29fb4ba3,19aafd6c,7017bdbc,4b906b46,843e41ac,1ec3282b,12dee1b7,b18e3f28,9e0a1347)
+,S(2ba73958,8ed54646,fa9f2389,802e2ab9,e123987f,c881ae11,f38f10ac,b882c09e,f37daa1c,9c0a98ae,f86cc45d,34801353,d8f8a193,77518423,721f3e12,375a25a6)
+,S(8672b9cc,e8fbb69a,ae5c0f54,9b59dfe1,e266e9e0,3592a397,7314e6f,79005de8,20d8476a,efb61c79,adcaac68,fbf9eae,c411e875,a66b5aa3,99a97a86,9b05af65)
+,S(334cb002,84202999,79fdbac1,5ee5c17,1f32bee6,133300ed,a26571e8,bdab6ab5,8827d99f,3da7878f,46b45bfd,579c5cb8,e4e972b6,49d6438d,96e5a188,5aa574d4)
+,S(32b30e07,d260ec07,354cad6a,2f64f81c,e9f25f4e,47bf1afe,602f229a,35ac6d4d,71ffcf0d,64ee9078,6f290418,1126c44e,5c5e3688,f3063941,85660874,3c3c0427)
+,S(e5099658,7a4b4e63,43e401ff,299e9bfb,3b5ce402,5c38fa05,761e600,a39a8451,7b0382a8,65429a86,94eacccf,5c6b3380,683a3916,70fc7241,f132c465,b3bb2ece)
+,S(b3872c4c,2bf539bc,e0aea035,3b3d786d,ca684121,29db66ab,d316e930,e5d6477d,7ce04af,e4c8c86f,3b37ed1f,a9dd4161,59391c71,22d0f4f9,2424d090,901e285)
+,S(d2b56fdf,9156e3ab,2e414d96,49f4c418,6095e74,a2df8908,f3b406de,9935d07b,443c2c1b,67668c56,a84b4925,946a8e5f,b06a33af,371552aa,adc3b500,efe3b23f)
+,S(f69867e,1074c765,923f32e1,ec9f41b3,4e8288fd,62b0a081,15db15a9,f37fbacb,fd6c6e25,2a11a516,9ce04c6e,d719c22b,68709be7,6fdd0e58,cd0505c6,413fca16)
+,S(bc1830b4,a9ab11c1,ad8778c8,688fccec,cae23898,555b6579,62670d8a,b9e64988,b6244089,f3c46133,1979a0fa,f3d0c8f2,8e95cdcb,12db9ea5,b6d95ac4,c22e3c81)
+,S(fabaae21,dc729fda,98c4bbe8,3cd5fb92,126cfa1e,a21f43b7,445e4b47,f38dbafc,1b569775,64465832,c73513b3,ed6aed9f,177ce1ba,b2c09fbc,c4c33600,582d8cdc)
+,S(93386101,4d5d4c3d,f912497e,a248d8e3,bcd3fc03,216dd57b,5473d96d,791f8bd4,3d8fc96a,c141163c,4ff3add5,44a6ad71,9e57f22b,8e806d95,1d630fa3,6c936725)
+,S(c5312d5f,85c42820,59546b8e,ec6b186e,da0a4324,d30147f2,94a83fe,a6fd07f8,f8ae6e2a,79ba0756,523be12c,8d544734,332898e8,b35b651b,edaf806c,45d2992f)
+,S(a08f2496,52c52f40,6db75c4d,da022f41,b73b1128,11aa7388,558480b5,f203b057,a396c7de,9ab5e1d9,5e9aa925,1ecfe3ca,191d7a25,37c4cccc,845dc745,2f3eb2e5)
+,S(93d5330f,e8df6fa6,a74b34f,a251a6,a036e0b5,89b8a05b,c525e4bd,40f634df,ca15faea,10f424e5,5d6774f7,7c87da28,c4df567,7d153a08,f5ac560b,71838756)
+,S(4622bcc,dfcab72b,e850a994,1f652110,5c35b813,f05a4f6,17055f92,aab51fa2,d960702d,31eeb256,d25cd245,695b53c8,e883d2a4,60965a8c,d29b41e9,d7ca2d4f)
+,S(a326036c,7dd885d9,94ba5872,8138c30d,fb6c83e,d17c8d88,7aee086,e0ef9fe5,b465ce69,3719a155,31caafcd,e7689a17,456a6ce1,c75e5a53,4893cd67,32cb9bf7)
+,S(2354417e,19637e79,71b0c887,bfa5c553,f3d5e7a9,84a6c946,b1d20b5a,7eef77a5,815a9721,b6ead3cb,b254fbf9,9f34f409,ea740053,3cf4ed4d,2169f48b,29f4bd4b)
+,S(9d346d6d,fc53174f,5cda746b,23810d7,3a407819,ddd5df9f,2b07cc8b,b7ce6fca,9b6cc06b,64293e5c,a55a8ff9,f1e90551,4a199b03,df08e9b9,8512b357,9776c806)
+,S(73c82b8e,c643a7b7,f95f000a,debe210f,bba638b4,5508564,bb5a3330,fd48dd01,fff15699,a0885c61,fe35f61b,84cb2bda,7d2acf5c,df0d6f07,5fff1369,805b614)
+,S(902469d5,a0b2d5d1,cf931672,88506b95,f2d29bf,6ca291af,c9b39cbf,fc798ac8,356d011,d71c769d,342378bf,fcafe4ff,cd78addb,abe8b0d4,fa63de89,1fc3ade4)
+,S(e670a0fb,3a0c86f0,53523afb,819b8944,dc4013e9,fd500371,b1efe23e,1f110637,869136b,cd13dcb2,157db5a3,d07e59ef,272557e0,9dcb250a,9bf659df,260b31b8)
+,S(f3fef06d,526581e6,b0f68e27,cfb9cc9,b57f11e5,849545fc,b9ad3d5b,8a05c395,32b2e997,144420ec,c4c45176,efa5fbbd,570752d1,4b092f4,ff375544,19b8f553)
+,S(72a37663,3958d844,560fc28a,8cc19d88,f942c09c,471d2cac,70ca5d39,396a05bd,de9b1b0e,6e121070,f684b3b8,402e8d8d,729ce846,d2f7ba8,503f4548,735ee1ad)
+,S(38b78ad9,c43b7def,4119c3a8,190cde68,4172894f,a84cdae2,2b637bd8,805300b0,a181567,6c4f5f51,87204f17,5bff32e9,de7cc69,dc851c84,23de74a8,b3d01e6f)
+,S(db968ac8,1d2e7c53,6c66fac9,e194fb23,540e2e89,8cbd3af,68e158ff,2b34752e,4d5c57ab,79d9972b,ac6b4af0,a6347271,4179e8e,fd14c769,a24e5a73,aab48a0a)
+,S(2ace1679,2d3a4d83,71114f28,c1ed35b2,505dd4f9,97c72435,a145d367,a8aad318,5314312a,246874e4,cec63b87,f685f6d1,405b0ef,a1ae3539,cc88e73f,3626f625)
+,S(32d80e69,c390ded,db8a4600,862727c4,bb1fda18,2563277e,852f93af,3dbae108,3c7d96f,ea89d06a,6d3cb3f8,181f7cdb,bc1c3e12,3d9f1d08,cbd557a9,60dc7c07)
+,S(3ef49e8a,e7fe6b40,628e61a2,945db3cb,f1bf050d,e525d521,d8e8a408,76ee3908,4381c75c,62f45fb2,4d431b54,d63115af,3ff72d27,58c3c92b,d3d1de08,1a123f2)
+,S(853808d5,cdb82cd0,39b517d4,1c88d7b0,e280ee6,59e5c640,5aa27542,3c9722da,c1677c44,9b2a9626,698a652f,81722242,3ed18d03,92d4200f,b4dc229f,5f7e8f5e)
+,S(572fd483,490c05fe,857520bd,8861fccb,306ee4f3,29adef49,58c1db78,1fc8584f,82acc906,10392302,cf0107c0,6b3b6194,d38e9155,b31ebca0,be300036,3413f4a5)
+,S(b1cbabb2,9aa8ca31,75aa9a2d,d4d956e4,fa771344,d4592481,38c93583,376e1386,888cc0f1,7f9afdf0,6ba1de03,41409c1,265cb2f6,c015fc,bc58d2dd,66292ec9)
+,S(f856cb92,42393134,7580a65a,149a6e81,2c5c960d,670701a1,6ddbbb98,2f6bab20,c33511ba,192c00e9,991f580f,65c111df,77d9d6c2,d5d63869,c5595011,48536674)
+,S(e1601cd4,773e129e,2c042887,b56bbb3b,9eed92fb,6c128e23,fffc3a7,ee73920e,180748c8,a38c7796,ee247c71,49ba1fcc,a78648c,a0508ec9,6f4a016f,301054ca)
+,S(98ee20d4,5ffb6177,5ca206a5,b0cbf1d8,e8b37cab,97489534,a98928e3,367c7e72,2df4ace1,ea42db51,68ab5e6e,88fc405d,854b70e0,4521bc30,6978e465,6273c610)
+,S(4796ca57,acde905a,31dcfe95,bedd1e13,5417bc41,f5acc246,ec0ad4ee,ddfe179f,7413f522,395a3802,b37637e5,9564c239,5bc565a3,463f815f,8ff962a1,f0a367a8)
+,S(b367c864,38adb0b8,d5b627fd,56c7df9f,cfd55536,9abbdd40,6c68bdd,1a341200,c0364744,b99e816,7982f365,72268702,b4986cf5,c9c5749d,fd22499e,2e8fba51)
+,S(db36884b,723ddecf,7e2244c0,20de844,e740760a,4f27d386,a747f4a7,88914d29,8ae487cc,2a743a3c,2a1e0750,7def0f2b,fef90e24,fda0e3b4,e5f3333,7d79e023)
+,S(65971818,f71c212b,a8e45821,31eef4f9,76b4732e,6c6c3123,ccf5c6a0,99a316c4,415f6791,353350d3,3b087f39,13761119,526a2831,c70375db,4cd07754,e13604db)
+,S(f2f4eb3a,13a8f4b2,42182a63,97eb6cd9,9053903f,961a1338,fcbccac7,60ebd65a,a575d67b,667e94d7,20adc8b7,4eab8ebc,18811b3f,3a3bcb6e,7950cafe,8ef9ca8)
+,S(a24e7a0d,a058f0c6,3328fa51,fd3c927f,884b3f77,cc068a47,e8c6b4d3,1d113a49,be8db830,79aca569,9eb2fe3f,829719d5,bcee615,645e4c81,a9a7212f,450ef78b)
+,S(e59a3ccb,77e11797,7db6cc32,5ebd5981,42212da7,48f0a4b8,981db72,41efad5a,a8e07545,fdda2668,cc0a10a2,2389a2d8,d6903416,a4a05299,9d4c2d4e,4a800d9)
+,S(3191b263,a3c70be5,bec721f9,3dabe9c9,fc6c1a75,aaa94e9f,daf6060,fe4b8f32,339192cc,1c7a9bc7,2a9a87c4,ea3cbab0,c7af7b27,53e74491,717b1f99,5df38a96)
+,S(63dd5fc6,4f9ddb0,8fd47e27,5e839b20,12f408e5,3c139463,8b97874f,9187023a,1af048b4,2e8b7e6,d456cccf,d12ef7ef,67e0910,4162239b,84f35cbc,8504bd9a)
+,S(a92e457,cd8312ec,cb87229b,7f751c4b,2e1d8640,c2b8e5c1,2d3dbf4b,671bcf13,d7aedb56,5447eb5d,18449241,3a07d672,be46ab4f,3d5b4b3f,551f292e,5ffba768)
+,S(1ee6b970,b9e09d22,2b20f02,14f00bb4,4789f55e,585f35ba,6c0dd6f8,39b10495,7c910fec,eff9eef5,d1a3c8a0,46252885,9dcf73bb,d4a0b2be,3f8d10e0,dc9e9462)
+,S(b19c23b9,c2ac1957,5328d7c,43d04870,1abe9e97,30285ceb,e4fd1659,8f06a76a,79a811be,c07c8b70,6f380f8c,fe369e45,c605607c,d08c8a49,2745b283,37a38398)
+,S(3c20db9f,9ed35fc2,7c0888f5,e266a455,4f3fbf98,b8b2a016,b1e9aef3,14f49a5,bb3ac294,3f29e63a,f610815a,4a1e5a12,9327c1b5,ccf489ea,7d8950e3,5bfbc4d5)
+,S(fd1ccdba,b4746e9e,44eb5904,d338244,efa29ffc,8ce8014,f6b922c5,2eea4389,e1065546,52146f90,fa52439f,c43ce4eb,73961a52,10f6c040,97a82032,9a8df06e)
+,S(e30fd18e,abdeb8a6,ef252dc7,3c2b0d75,83641a29,8db37ab5,1e2da099,9b64020c,49663672,1824f481,962bcab8,6716eb41,8e195d29,6afe9704,cfbc24c1,28dce88b)
+,S(4bc1f789,26ddf930,e1aea784,83a9dc09,5cd72300,5540548,e6e217e7,515bda37,966b32b6,95dc1b00,8dcbfa2e,734bd9ab,36d8a26c,2a52c471,63a4cfcd,d200ca69)
+,S(23d3e27b,9c864b8b,40f0f7d2,6ece9bc4,9004f98e,d46b539a,affffea1,54f036d4,be4617eb,f680a27c,cc4143d6,ac150d51,b3dfefbb,2892a6c7,1b36c794,8ac0b05d)
+,S(28adcbd0,14cd3b70,f46e0a89,477b5cc0,4a513091,cb6c1aab,56de4894,3e6009c0,7c49a838,75204cca,38f250b4,608cfe4c,25040dc7,3ded4fda,f4a92cce,fce31601)
+,S(776084b8,a86f0823,a5044ab8,70d84f60,ea52ec7b,a545ea0c,c86f219f,1ca29d08,60bbbecb,1048d250,b410bc38,49e567db,def17272,58570b2c,d0834532,581c60db)
+,S(45df2e0f,fd32ef48,95d9667b,c6044951,e3db94b9,ed6af5fb,d4fe1e7d,228f2350,a732464b,1a8cfe06,69e4076e,d4164b98,4de155cb,68bb3994,73fd7918,63eaf095)
+,S(6904976b,46a5fd1f,a74bff80,c493a2fc,8ae9bbe8,783cfebe,7f69f0e1,be7dd7ea,19d071b8,df9d1436,6241a22,1a00b340,30f1df45,5e66fcfd,5ad621ae,ca2c3e64)
+,S(849d8728,f977d075,a8de805c,8e80980f,e01def35,1ee80f0b,ef528e85,29aef659,d84955c4,6c886283,b9d7adad,bc069d0d,8042dd9a,ec7246ff,edf31594,ae5bf428)
+,S(e3d64b4c,234506e6,e7facec,8d7534ac,54588dc7,ea685281,e27c6746,472d58eb,4a32ad3c,cf822a84,74447baf,68aea598,11a9c839,4c9970ef,bc61f363,ae5a36eb)
+,S(f41c7928,57d15a31,19b6f132,3b67639a,889877aa,e9213ece,c787d53,5463bbaa,73cfcd0e,c84c55,4d007594,152d9ddc,630c458e,7ea456d0,7cc60503,794d9328)
+,S(e1d21747,47ab84c,e47a4a02,caed939f,e0cba1c,41e7b21d,67f52fd7,79186079,17b0b628,aa4bc0a3,ed9728a3,e24a8101,fb26da66,9ac92f63,af81aafe,7db2b668)
+,S(a8a0018a,f8f86795,3189da2d,d52b4db0,5d7ddb4b,8d290c80,95a8e7dc,d86ef1d8,8bb9606c,84b88a1e,df980c7e,9360823e,25b927d7,9cab4c17,fc8aba7d,6826518b)
+,S(7383c671,6ee05e44,daba57c0,50ebda60,e4e0c0e1,3df338f4,cd8d627f,736fffed,3bdcb946,5f164a74,638cb973,fc77daaf,38eafd48,9521cba0,4ad896c,8e89f0e0)
+,S(61fa7e1c,8bc8ac97,96be6431,20858063,1ca36af4,520cc1e,858f90b,ad372dfd,3f0d6768,36c3e694,32287909,c8841de0,a5f646b0,94b0c207,8d634486,c3eba33d)
+,S(86029e2b,ca0ac601,99092def,cf4882a8,b4f14349,43bf116d,3cb310a3,b2c4a740,b8be906e,cd9056f0,f3261cff,d12216c8,ef5f1553,dd708480,15463b7d,241c2f7c)
+,S(e172f7e5,912aa487,589d6c4c,d0d6b9ab,48c4a6b0,5fc5f90e,2f6474c0,4fad95cc,edbd23c1,2b0a0ed3,b899920c,e8b64d7d,d7bfd79,5009c290,ea0673dc,8acc401)
+,S(7986ba8d,322efc24,8b7b22ab,f838de93,2d931c78,cd6a8616,d1f37dbe,32873494,693eab22,4c750592,319b7544,d29fe0c,2420a5d3,d3b7e01e,e6ebc968,12a13634)
+,S(ba594138,4a727673,7600a6d8,8d36b133,400bb5d3,6a8a9d46,3e8c65c,e1e00383,746f4e28,bc1b812b,227fc953,531058bf,d9c68545,2f6219bd,86799dbf,3c2ce557)
+,S(45ff41c9,92d6b117,c86eeb77,bb17789f,6bf96cd7,2cf0c6b9,802af869,20476c8f,9324f5bf,6422e3ae,2010c9e1,27167d8,4f522e86,87fc95cb,ec3d6972,2002b59f)
+,S(bad79e35,487a4da0,7171c282,e8666ed4,d00bada4,d9576a7d,9a93ecc3,c16ed68f,19397a2e,efb184a4,31a02e12,91db0cd4,5b153517,9038a920,7a6d50dc,787b57d2)
+,S(ddfe2107,2d8875ec,60c4d583,59755bfc,22cf890d,d3665b79,cfa403bc,9e3c8a41,c62bd917,491d0a8a,9215674c,28c28872,8dbe0d3f,87c10d90,ce22b608,473f62e7)
+,S(925f6a53,c07f923f,968ccadf,bef9d95c,d7594269,a3d9fa64,b1180edb,667eb299,1080e8ff,1f918e6,6f08b26b,7f9cee48,58f00038,b8ca50b7,b2939960,b1e7809c)
+,S(c28e49dd,a75f0283,38e5d2c7,d1f03af0,12768bd0,6b0e0d0d,87878ba8,2720dd80,670f8989,c941a49b,cc512c5b,4987e167,ec5ae6b4,d7f68a98,331845ab,5d0db12b)
+,S(7a9053e,95035be8,8188c196,d5e8e05a,b21dae48,d59406f3,7b9f86ca,2c837cbb,40ee088e,8e7694b7,994774e7,9d097d76,6de026f6,f7fbe352,e7f2bd0f,443a7e1c)
+,S(33af78ea,bfbb00c5,4d88ef81,e9661b16,e0b32c85,a1b61b95,6c6a79fd,e036aa2,713e7aaf,537a796,c4d79644,c855d0b,15331988,5ef4629,d8048c69,d3cfd3c0)
+,S(c588d014,5a3f3d33,29695573,96d674c3,1326dfa4,797d63d,f9a0c720,49583bd0,b5c0cfd1,6c67cdad,ababaa8f,cfd2cd76,7f747024,8caf60d7,37531c66,ac53cdfa)
+,S(96b3d5ed,b93742c6,7c48ef12,c649341b,97223f22,1f0edd5a,2f2ab523,8038d29e,db475caa,38a3a05d,3719a2e6,4ce7b4ed,bf25fe57,4b28d6aa,9961ec0c,b0e44c4e)
+,S(412f4b6e,3d894ee6,fb0cb00b,14662a9c,1eea3a42,5a286782,a62da77f,5644f0c7,a84ef636,ab9bc805,bffde813,93874429,a8503e89,8c03f1d6,f139af86,f6a676fe)
+,S(25f0a785,c7b43028,52f1421d,a32c418d,32fdfdc4,89c39049,3794e1fa,e4563252,efeb090d,457190b5,89c953a3,aebef406,da716af5,1dc6e334,a0226883,6004e4bc)
+,S(50fd4ab7,f367faf4,acb4403a,49ea3e7f,f02fed58,4327acfd,e0bd58a4,ed741c6f,78abc1a7,3c9dcd48,6520cb52,adb1c3a,2d08abcf,a079607e,a56307c6,3d46dd5f)
+,S(157583d4,cfaf7f79,33b8fa66,430f107e,c357621f,4b94f313,bbcfbed1,46a477a,9aa6b235,ce8cd1fe,60cd4355,c46d4859,fe35ed8d,659d2aaf,fc09cdea,297e8db5)
+,S(3c44bb62,5d262603,e44affc1,65b35976,f2edcedf,8be6b494,f4b3bc4a,5b3300be,88b1c561,67973ab8,5ecd4594,90598152,1ef0e8c7,1ff707b9,79ec2bf,3cbc2535)
+,S(31d4264d,e1606b97,f2f71d19,33f23cc4,8fc5d9c6,e087dd93,5ee25b8f,ba298958,460609c0,a3aa1d26,2865180c,98555b98,c8e41db6,2e62b2c4,4ae01190,718251cb)
+,S(1f551f0a,8ff14724,60ab206d,3dc1834b,352d1d1d,80a8fb78,a87247ae,5d03ad2f,24253c06,a4c8b148,db944f81,802bee34,fcb97ab6,50957b32,eccea33e,c116a6e3)
+,S(de2c4e1d,27f08407,31334311,9ff5a8c4,206a1f73,2aaec3a8,7aab6bb5,c1cf333e,dc813ba1,40fecd3a,31ff4a8e,41fa498d,9226ca2a,cb2d5a71,c5a5cfe2,8195170d)
+,S(6fdc5db2,adf54ac8,132c4a22,c382c2f0,c1f54bd1,8aed5620,a54bc4c1,18a95612,db3fa4e5,f318e94d,c0c11053,61d21643,cf60b0ca,a6dc4d26,944e8915,970e221e)
+,S(c7eb76c6,ea0e1c51,a3aea6f4,dd7eba10,bb76650d,85df0fc,7fd77b73,53680603,5ae1c1d7,b788092a,3c41c3d,7bc32ef2,a4f4a39,a82b53e0,e6f47712,df5bf655)
+,S(c81505a2,b7e78b5b,64ce048e,6312bfba,1a52c7b7,8219d857,b4813a98,c8aa89ed,46db2842,6d6ce211,5e1e49be,459f033d,c222be7f,96b247fa,87d5dfc0,df096806)
+,S(cad75255,15f9c3d5,8705ff0d,83ac3508,f7dec312,bdc71c9,a17eb9e,78503bf8,32b36a02,76cfdb97,ecd2ddc7,638e4d61,6231be5,25b6b4c5,2d19c12c,6e6bd719)
+,S(94d22144,e22b7e30,56eca8a4,7d6b15d8,f17f3c65,82533fab,c70e900d,be4cdd25,12c0760d,5fef2f85,d89dfbbd,bd0124cb,828bf72d,79b4ae5f,6121a84d,47d93bf9)
+,S(325c5c23,ef00601f,ddf52040,7721bde2,13cba19f,c0f2e225,3b112b8b,916731a3,59d3cb98,c09c1643,993f3dd3,64c7d29,5cb38cb2,45d8f70e,9628e5ee,d62498e0)
+,S(9c907089,544b8316,4a251516,81bdfda6,7d187438,3e7f4a7c,da96d861,91ee2318,f639dee7,e7010630,364539eb,5c225059,547117de,9fbe4911,d9718e6f,8372d20d)
+,S(34f14807,ede9c06c,4cb2a1d8,97a4fb81,ec5544dc,eac1bfc0,f32f9835,302b7a82,78437a8c,ec6aa228,f5f18813,a68bde68,3c54c367,5d6be482,8d01f2a4,96d9c57)
+,S(9498d30b,3f080828,e03d459a,fcb81fdd,490b47ff,c344d75,3887b600,1639788b,7a5c8305,b97abe3e,b241627d,c5187a9c,677865b3,567cfd2e,ce136852,e42522f7)
+,S(eba08f6f,efd36e37,aa53ec32,d3cef88e,5d4f36ff,ebb978c8,76d452f5,7754f226,fe0e66b5,43aa54ca,7afeade9,b38cbe0b,39e17178,4d029470,608c7e38,bd2015c1)
+,S(555d4bc2,bd21729,f6119b77,ae8c9bce,c8ef49bd,992cde50,4c794484,7240091b,cccebdb8,69521e33,2ca86941,593eb4a7,6c9052ff,a54f8315,d30119cc,7f437b54)
+,S(33729b9c,19da3474,42f33833,d1723d45,3f3060ec,c692d823,679f087b,ffe8872,a94b6a4f,283af604,eb885405,6bfb8044,fac2f007,d7ebc800,b4abd64c,5c34fc30)
+,S(2a1a889f,afe64678,647b060a,73ab92cf,78124ee0,d44c7c32,d8ae15e0,df1dc11,626f963d,3bf11f8e,686ba46b,e6dbbf0e,75aba0d0,7ef91218,98605ff3,fc8b75d8)
+,S(4702854c,a303e6fc,ffc62f70,258bb2f5,639148b3,4e3927ff,f2dbcb0b,7c197d6f,7da261b2,8513257c,d1475c2d,e059372e,2da76eb3,f3b2c51,95c44447,d71e1156)
+,S(7002edc5,a0cc23a0,65015cae,6e49e7b,51d90cfd,7da04e03,4857c596,cd319c5b,6f2845bd,6b7aa58,7ad2d2ae,19fd6115,78c47b56,84fc6975,db63e230,c3db73bb)
+,S(273294d4,483d610d,b2169f05,71d5450f,f4cc5bc8,725d8ae6,7c1adf0b,6f48d485,99b241a2,ffec9e0,a039a003,18239aa2,a71e3cc1,1cfbb6d3,7268874b,67d942b1)
+,S(1beccf82,3055b440,fad26a53,5a852a5d,710c72a,c4d28e83,b0335e8f,e98c9a69,f3ab566,ac0eee20,7c8ce0a4,d471eac,2c5db716,5e24b489,e2fde03f,7b8aecfc)
+,S(dbe4eecf,4f033d53,5d949cae,c8fe672c,a1902323,77892197,fae8e192,53128160,b3f50bc7,927f0e5b,56241c72,24960fc5,896fc806,1c0a8a1f,5fd3d47c,d5aa566f)
+,S(6643fc75,bed80c69,4591887a,5dc573ff,caf7f484,b0ae2631,133ecf4a,39bd1e20,4701285,f7ac7c93,bac1875f,dc4a26e3,8ec1e69c,293c3b7a,1f8b5c5f,878d58e5)
+,S(99f90bde,cf1dcd5e,7158280,53f820e7,ef19d936,bca63f14,516342fe,5422a21,a04dfd30,6dfc615b,5390a86,8bebead6,5cfd7719,33f91e2a,180d2d79,b99cd4fd)
+,S(54e7ce48,3184b7fe,45fb4e35,192b5678,bcf71f7e,49c033e,aad1dd32,86e33433,cac2833b,65ba9cb7,83a8b85c,b7f4e4e2,4d4f8546,3c6a2c3c,4decec88,14c0e8ef)
+,S(cf864a4f,fb60993e,444f4e7b,8f4a9973,4705aa16,295627d3,1f7686b8,4bf02e08,7a98d20f,b736eb4d,465db874,ce98bdf1,6b8a1951,7744aa51,af276c7c,db6f1bde)
+,S(6ff160d6,516fff91,5ae2cd45,7a98afe2,a2569345,60a7f26,c9e07212,6d59d1ae,5d1f1355,bf1410ac,e4f8b415,350f9c75,7db5d5ed,1f34de,aff5c197,b4eedc4a)
+,S(9adba62,aefd2690,1d77f2a2,c6287da9,a56fe35b,3702da46,f231fe4c,9f5dfcc9,ba58ec45,cb4a359b,7126af,fd2c4bdd,2e708d43,41d96e7e,4825f153,abb04161)
+,S(204ea41e,bbdcdc48,cd4ea945,72c10dfe,b5d90060,e9dcf5d6,52c0e2aa,14a2402d,7b2889ac,a1952f3c,b2c5db8a,9924a6fa,fb0b9e32,3ec09809,789f780b,ac36ae38)
+,S(f7d6c669,364d3114,225a6826,c20d26ba,a4b4f190,e842696a,82aace97,5fc8ba22,15abb177,b42538c5,67d160,cb3c761b,1ff47cf4,4b0cbd16,36f67a5c,879d3470)
+,S(7bc4d30a,87dd28c7,8b066e00,c02bd221,e50a7e64,45b57f0d,cb466f27,7d352587,f4ed4854,2e7e0164,da66e0c9,fcb04a1e,6efbc9c1,206b552e,c68cab96,d0c294d4)
+,S(55442584,b046bee6,c245dfb9,59f20629,c200eb21,b42509d7,8564943b,1e316ef1,2e2aa971,c8111ed9,6666353a,103f2e4e,a29c4162,d19da280,905031a9,48580d82)
+,S(8e7df8c0,de88903e,71224c97,3a8ca65a,923f872,841f2dcc,bcd69e64,b1dce1eb,e4153083,9ae86d51,e7147873,f1fba8db,c31205e2,34c94662,52ae43c1,25d2a0cc)
+,S(672321dc,69d8aa18,25569d06,65fae079,b84a9bc9,35bda491,5d546f51,c651de8f,8ad6430b,8708897d,be809ab1,803a6eee,f977b1f1,6b34c188,d333d6f6,e7ef005f)
+,S(f4e2bbc1,43e99b00,52032718,285d7698,1b8beb9a,f693dbfc,2d20f472,89ac3abc,e54990f5,dc330eab,2e722b7f,70cd426f,6d80e93e,205eba89,7eabf0b1,5d651a2a)
+,S(5aa3aa5f,c6d2258c,907c7275,805c160a,72694f46,6b5fdad8,9134f1,d39ffff,22d72170,617eafa5,b843e82b,5f670cc2,3146aa98,cb07644a,7f4c0600,48ea9531)
+,S(34752ff9,d2bf499a,c6b3acbd,1b78633c,9e9a31ea,45c34383,be3eb008,7be2e7ef,b53ea374,2cf3d886,51f7d076,3f67c8bb,39d73ca9,8306bedd,91a6db47,2c1104f8)
+,S(d6502624,2ea44f7,d9b4c9b,5069e1c5,88977062,db2bad6b,51735366,27047327,52f5c99a,f2f2a8be,c034db3f,b573757e,d8014321,86db2c28,8c7151fc,4ab16f2d)
+,S(52b3aec6,553d025f,d164a0e0,b1f39abd,915d4a9,ed5db2ac,b4593c30,11f4cc9,51547402,1c17b2bb,9d401683,931b25d7,77af18bc,e0e7bba2,432a7717,f4e2f8c9)
+,S(8cbb677e,f7979224,12728418,68b79c12,eaa0ec6e,ba4f9b17,4d99547e,827ef9ca,a32809b8,b07e1312,b6a40ec6,411b60be,92974f98,bfedce19,ae590f98,40183f2)
+,S(d8f55de0,e2eef17d,e94b1564,d74734b9,3f89f2d6,c317a248,7f1724e3,d531d47b,e9fd46f5,da576370,e0416f71,f271e64c,fa7dc64c,5e086930,523e92c,9ab7d770)
+,S(fa6fc9bb,faa2b31f,f9d57301,4777169f,a4ddb8ed,ed4bab79,d0f4cf62,356b6fdb,b6ff57cd,dfdd790c,7aefd1e4,d4b111d8,43a2adcf,9f781b33,1b4420e0,f57d494)
+,S(239f028c,e748edd9,69f752d9,abad0498,f9359017,653e6ae6,bb93f09d,61b58e9a,17dffeb7,8831f6ba,7ba463b7,bb7b142d,d55c8aa2,91bdaf7c,644e8ec,14f8b516)
+,S(2ef6cbfb,728d976f,99c71db0,5389bba4,ecad3c14,8f2597bd,99af8f74,965e4f3b,19a27ba7,a382078c,3f1ebe8c,1d93a37b,deeef542,cf174273,b411b60f,79b0fd00)
+,S(972d732b,9af8315e,88f042f1,3377871e,1a429247,d8537436,98b975d9,33064a0e,308153ba,ba4c3b87,40a380fe,e4bcbba2,a5c2ae3f,25fde1d4,f40af4db,aa4fd28b)
+,S(3d378b34,ba4998f1,833aa295,185414be,e788bced,af422ed3,3c4f2747,6e062a4c,46a4559c,9217f919,80887b50,29f75c01,3c3d5238,d3758170,93eda1a8,f2c4c8a3)
+,S(fbb2003b,1fc1b3aa,fd32b289,abe3b362,b13d70f2,7d6451e3,76bf882d,395c3087,97c866a5,c462362a,4ceb96bb,9c17db03,f28e5b1d,4e418a81,653a315c,4dfdabd)
+,S(28fa94e,8eeab1fa,bd27a9,258e26c4,295efdb7,afb5a47e,6e14de8f,877a0471,f7619d0a,f2eee8f3,c0c7b5e2,8ce9d0f,62221919,4d1762a5,5145a909,9d23276)
+,S(4708a285,7eb9c115,71627ede,6fa8fe29,4be27233,8798f25,c12cca0e,f9308ae9,f35f9964,2e773990,b2e0ab60,1a92cf56,85403466,87a8c35,50e36b91,ca4fa449)
+,S(93408097,6ff4b874,d88903dc,b3ceed6e,a82427cb,36b62c6a,6364f2f8,9848a62f,e25a6962,d4e26764,9ab2d4fe,a0babf7,daf64d48,98bc60ae,ff3cfb63,e95f3c6f)
+,S(f4a42ba0,818201ca,e3195da9,3a566623,9e0d24dd,256cbcac,3959dbc,720ddf9a,8fd26fcc,be3eff0,75d194af,e7391285,10bd4c8e,7230f96a,60fd27e0,a000f86)
+,S(c5ada616,e65bcd40,cf39ef6,197e0a97,791cacef,b41b0991,9c51b166,e3a6240c,e4c65d68,fe41c62d,c85b0b32,39106ae9,cc26787a,60d351a0,4a7008a7,f96eb8c3)
+,S(7c193ec3,d3f1d91b,cbd7c62e,5061a5a5,e8b1fa48,561102ba,ca2ae100,80c640e7,cc7cf895,511408f3,e400ff31,8a53685,3b8e068,1d4b333a,26b59cad,97873ccd)
+,S(77542543,8e7cf128,32165629,3e6a1c19,22b76355,1ec716f1,d96002b0,ad1bd3c3,3747169d,212c37be,1906eec2,8860af9,edf7d932,c187c4,debbf800,8bd2137f)
+,S(92dd5399,fa75e786,fa5c0f7f,90abd1a8,bb48ff43,e54dac5a,3b9990f6,27d90992,5cb1be8e,f93783e0,c2e5c824,ac6c5348,ee493231,9932e9a4,6e54921,3f11b7ba)
+,S(c1770828,468eeb90,10b55053,2a532fe0,4f66e7a7,b7a1cb37,6eb6ddef,d693157d,da5643d,a0147d47,fd29e262,f61ae4a2,70e5e9a,77a76bc2,d2e7d24a,819a2e11)
+,S(1372e116,e90ae522,4649a534,111392fd,a8baabe5,be8a8ad5,33cfddcc,af6378c8,5efbd4a2,695775bb,dc38c2aa,f8da6f45,1d0a1cf3,2bc584d6,e9b2b6e5,c8346af9)
+,S(2bbdf21e,9fa1a2b2,bcd52009,7f30929d,5e2b7fa,e1038c00,8f32d86a,65dda936,51b78998,6008bddc,616c0dcd,2a883361,1806ebcc,5843b64c,b0ba02c9,339d45ec)
+,S(36694ca4,d0495ed7,78230d49,e6f21217,9b63cc7c,26ee3f7f,6a7438bd,753005e1,2e49e3f3,bbdcb133,3ff1e17d,b18d5267,a87f48b6,95b5f907,5f5aa0d1,70bc0af8)
+,S(243d84b1,dc9ce143,a6913bf8,d13c4aaf,6fbc1373,6bb8a7e8,5e648958,32013b8,39317ad,b6bec71d,ffe3c2dc,6dec5e10,21a3dd83,2dffeb91,108abd5b,6e7f28bf)
+,S(1d888387,5255f3f6,838eab82,1a12a8fe,ba6dfde,f190585d,e039542b,2d91ec92,a9d38be2,e919f815,5d633538,d2f0aef3,9ccabdad,dbd912bc,46c2037f,3324b489)
+,S(39a21f75,4c0d3376,f7560e2a,a743751d,5512d628,7a480955,6456f9ac,b1be3765,3cf324a5,2a7fd79e,3bc188c4,d55bb449,ef4950b1,3a4531bd,e0b2ea9d,4035e005)
+,S(a10ff60c,d8e25df2,a1d394a9,52c67f6d,18ab0a1f,a56569e9,48d9278e,b42e21c8,b45f2d63,3ce82ef8,1dc0c0bd,4f891473,89fd2b35,f02cb237,bfd4f502,df9e991)
+,S(bc269792,d5042f7,1051f7a6,46b971f9,bb801acd,dc24a2b2,5bbc459e,b7bcbcb1,b70445fc,1c032061,61b01530,c9205d7e,c7fab6de,1d83f1f4,78b35bd7,71235665)
+,S(3d7279fe,fd5a3682,a82a7f95,d1db4442,5f0ef448,f6bccda9,9a61c240,9037cb95,df5226ca,e6365b7e,22b42cca,2ba2494d,9a2ea193,cd92162,2de6602f,70159740)
+,S(e0c56d30,ef92af00,b936c2bd,951b3d51,bc439ad0,e4216e2f,d552c2d5,e8dbe588,c2bd177d,2a75c44,40dbd186,27669a0f,f35189c7,a4873e0f,6484b3b,68555fee)
+,S(9bf960e5,2b7bbf52,fd839830,634baf1c,f0d6e332,4272bc15,d9999ae2,7873315b,b28719d,20e01dcc,b0016cb1,6a453739,551862f7,d9cc81c9,6662387,1d8d0405)
+,S(20df196b,e60ba71a,e617a6b1,44757e0e,87fffb45,d447d9dc,d5480a0,34351198,9c722d43,c0d071b,a07d4953,9ad0abaa,f12ba358,42fee0ae,9960ce1f,26eb07d8)
+,S(843c136,208b40b,9459693d,8154980,455a5f71,23b5f633,a26661d,ca9bac17,d5b5bd8d,9095fc40,d2d1820d,31dba542,d0c74f23,86770ede,c9b4df46,f2f12078)
+,S(9109b4df,702c1ea0,dea4ee0c,ab46d6ef,708a3fcb,72f9dc03,e05bc722,408d11a0,75baa2c1,8be5801c,b5315195,4c2c3024,7348e9c7,913bb242,cf4ecc8b,96dc507a)
+,S(f10cd1f5,c960a9bb,12adff03,c203c59d,8e51552e,3727edb2,329eef3c,5991113c,a84ac8e1,6f65daa6,16574689,8fee662c,9d2e03c6,4796151b,8f3f0bf1,5e8c465a)
+,S(9f07713c,ffd3602f,ad077b69,a8a5f539,ae0d6d0,df58ba07,1eafe6ad,10e747a8,adfcc873,42b59083,cdc3d735,782f8ec1,cbb4ea3a,57970afe,58cd5e5c,8fee867b)
+,S(6d1d9d0e,32905734,13b2b870,fff8978c,5ce9ec6c,b120d9f3,64063342,cd95801a,650be4a8,95d3b602,4d745f7c,23bbdce3,25a3f597,922e50ef,ba154f8c,6831018f)
+,S(497185a5,6b3acc94,7a27791c,7e1fb149,5c649f99,dc767fa7,12820cc6,6cdcbd82,7d511b7c,11dae1b1,7e4078b2,fe7565a0,f33ce5bf,74181c3d,f5b6a951,fe6568c)
+,S(fff738f9,848eeb9c,4ddb8bc7,52cd87c1,9a35f7be,14a470a2,c3154ff3,100a743f,106b8a55,cd913c97,76837cdc,f45c58a0,211b979a,17085df5,7bdff373,2f2c38ec)
+,S(320391a4,8d3546cb,4466876a,37d60015,41899ef4,5dfc8e38,ccb9021b,981b4830,46f63030,b4559411,e742f303,25707b4b,23fa2d7d,e633800f,9c71205,6651b102)
+,S(be44ce40,a925e88d,26937f7f,b7631f18,55879106,122813f9,adf16e00,5d85fe9e,1755ade7,d22e6dc6,7e6806d4,bf44b6e2,ca6948ca,9a418893,24db0266,2b6e1dc4)
+,S(8d3f06b1,58ddd609,f83b0531,466fc2a3,da6aa80b,433a92dd,eeb20435,cf33ddae,2d554a99,efde513b,b8b6e5f4,dbd2e942,f1d0a641,98c3df2c,4c74705d,4b37af63)
+,S(f814a79c,f258f553,255c1cb3,a054fcc0,d0c71d74,742b6627,210ea846,91596729,119fc95,be48b4b2,23c80c42,fd1f3d45,271ce8a,edeb82dc,31813f75,a32d867d)
+,S(95e8fd46,1c37f1db,5da62bfb,ee2ad305,d77e57fb,ef917ec8,109e6425,e942fb60,ddc28b1e,dfdbcda1,aa5ace31,60b458b9,d3d5b1fe,306b4d09,a030302a,8e2db93)
+,S(c06543fc,47e18816,bc720604,cfc20826,6f4e5cc0,f436e149,e2dab0e8,a7981e77,22070465,f3a4a7c2,1134819a,c194cc9d,28185431,17ec634e,e6634831,97021441)
+,S(4983d95b,3716aefa,4a14d116,bded84e1,fd5b050,bd6001ca,a2b97086,b4d5c68e,1373426d,a2efcd14,333d47bc,ebd3befc,f5e609a6,6fac1b02,80cdae2c,7f0a279)
+,S(a2bd5cc6,92e84b97,3ba2cd09,25e0850f,ad8054ed,e6b73ef6,1fdcc958,3eafe6ab,cca6e78a,f9141b1e,6159011b,99f8024d,33d8d797,9795aa4e,4f0b2767,e6a5ce2b)
+,S(61c99231,a18f4e73,95076281,b367d084,b8f85226,3117ab60,bf698d4f,6b6d741a,82314b97,9e7f1d30,64861609,a08c019,af886db0,67d49929,9d340814,6e6cbfe5)
+,S(4a5acfef,32c55299,3a7114fc,7913321a,d4072a2f,6c6bcdb7,3ed60bfd,6ab34304,7295a29,c06859b2,69bf9f29,64b26dbf,1323e89,4affa4da,9f61b056,9a0c03c9)
+,S(e0467755,866f494c,2b36dcb6,c65ecac6,604e5013,4216ad48,7d4f5b68,bb7f4023,dead03c5,974dfa1b,f532f955,826189ad,ae945975,28ece029,d9e5a42c,30b336b3)
+,S(686fdf05,c9265fdf,5b54ca74,b5b1e231,c4e8be60,20844596,40dc0d2b,bb215ea7,f4d43e1c,edf9b974,aef950e,bff3677b,c93723f2,c5901710,b6561e53,d57ea7da)
+,S(12476985,f9b20c,ea62b7d7,b0d96d2f,e2bcd924,d1f15cb9,fce5ecbb,8bd21253,d3437cb3,9e904fc6,43a7b356,b4389c0b,3f1950f2,43dd7842,e32de16d,2b522004)
+,S(656bdcec,9a87c9b2,e5b32291,9f657b,b5eb1e1e,d2fa724e,45388026,2ad17b1b,c7748d0c,47b6e4f7,f63f704b,3fdc08ff,cdfc830,d17c1d11,6aa3dce2,f92fa64d)
+,S(5b7f710e,f721612,ca79b24,483ced12,7a3d403e,60ebc04c,3aebeb96,b483e4b5,1b5157a7,f0688aee,634196e8,de5a9eec,11db4b72,bd96b86b,698f7284,bfb08080)
+,S(bfca66d0,552ba6f5,5795bf18,40f90d85,2545213d,81d2cdea,bc8d3d04,a1e6b4da,4910b0cc,290d4257,c04c4638,30cb3a10,223043a0,bddd8690,84b6dd1a,f1754e75)
+,S(663fa68f,b79dcbbe,4798f8ef,2057bd14,1447c11b,cec70924,7f566032,88496f16,3ace2efa,1f3bbd23,d885598a,91d1f420,a42597a2,ab30f951,f2b27aa6,83c41786)
+,S(27cce333,8a3db8f2,1fef2f86,ede68a25,7c1675ae,80cf004,6085f1de,495c4321,7156bd8c,8babe472,eb144a00,263d4fdf,7aefa69f,da2a9c29,4b16a82b,24d373ae)
+,S(d49c06c4,52ec5c09,be27940e,13c575ef,b727be4b,1c0e8ce3,5aa5bc4d,64bd9560,2c653518,b298100a,72a66469,f9a03635,5d7ad789,546df3c2,f5175238,e78d18b0)
+,S(6960807e,bd028026,d3cecd25,140d3bd6,3d7bf4fd,10afd129,cfa017f7,544ad08a,a785044f,28befae7,2b7cb546,5bda6bdf,6f9a6383,aa9abf4c,f7baeac0,920e7c7c)
+,S(8382bf36,54b63a71,a3b75abe,ba57dbae,fc9263c5,5a54faa1,edeb5325,3df8faa1,e05eb9dc,c319cb53,4461da26,9627661e,dc9bef3d,945766dc,b6d0fcf1,849b011)
+,S(803b9379,30ec876e,78c8cca9,fa932f22,b7e7059a,f605379a,cc45a3d1,4ab0bffb,7db2341c,5202d1c2,c6fec7d0,b7869471,cb90d1dd,17cd1152,b52af046,55e5790f)
+,S(cb4db129,ab6ae9f,11165ff4,f73fab02,cb78fb0e,89647e08,f998ba11,d2c5292c,ccaef9a,1776384b,b5a80ad6,5bb366fe,745c2408,d754ee9e,f6154188,d7d1c9c2)
+,S(fab28757,50e9f672,3838be8a,fc070fc7,8fd6af7b,84c9579a,a8152acd,ecd115a2,d59fe028,89cd562d,5397d3b8,3ae85303,764ee931,d9c6e495,6c311490,c0b3f065)
+,S(dd879eba,f870ee3d,f6e3f03,60833e12,fbdf844c,d6a5b76c,19802485,6649bbc1,e7bb04c3,a99a5c11,dd7a324c,1d5696c8,b041a12a,c6a538f7,3094716c,9943c55a)
+,S(7aa4afbe,29b06a1e,da9319d5,72572b13,1df68f74,1b5f8d8e,d00ccc04,80f8016e,15f79a9f,b77b8587,7f02e3c1,3202b972,423fd00d,937c0d2d,c9d94b17,53fe7130)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 1024
+,S(9145f3f5,876a3265,5d7fee64,f2d6e660,c34354e9,1571d68b,a19e4cc5,8c39f890,45e0a95d,cf369fd0,5bc9ba7f,da108d6f,37650c1d,5766b6c9,98ecda28,b285d8ff)
+,S(5450b752,36fb010d,1ef37afa,2077f3dc,a5a7f6c8,91a21317,13df740f,4511ac9e,a7c7ed57,62bef86d,4de1084d,3ded2d7b,13ff563a,67109ef0,8b6f0180,fe6ba175)
+,S(ba6c0d72,5e48de2c,cb8256d6,7417d075,bbf2766f,d13501b8,4c32cf88,c0666a0f,cd2a9132,7137299f,50eda669,3a599032,bdecd64b,91bcc640,5ed186f3,e525e442)
+,S(b94821ff,1feeebb4,6fd1006b,798fbdf5,d25a649d,aad58b05,53adb7b3,9605c921,21589ba0,79bb92a2,c7c3d950,c574afcd,f45ccfae,eec4365a,72dc58ab,f9077c05)
+,S(46436446,497f7c76,b70e0d7a,5a963cc8,432f14de,93d61f81,98f8879f,da0681d,29344a4e,90c4d810,10da8aab,5ea25e5f,48c367e5,b3ec9239,8a3e608d,49c83a5f)
+,S(bd8e5ac6,a2e210be,4959185b,7bcb0cf1,bd3be917,5baa0d08,2bb0b38,e4c1ae1d,6b381be4,6dcc9755,da7773a5,eec888a6,69c6f71a,7c3ec0a9,4edf08aa,2db1fa19)
+,S(c27c1e1a,c428a7a5,f4c3405,58ace76d,7fb64593,b3942319,74cd18ff,99f22493,fc95d661,c12f7b3a,1cb1884c,fa9f5994,25108af3,c05e04a4,9544f919,c59cf57c)
+,S(a1765561,837e4ca5,5268168e,ed90466c,44c17c01,4040fc02,9e53af22,77eb30d5,8a2dede2,b8d488bf,cd655d0b,30e6e2f7,3032c775,d0fa15ae,cfc8b66c,b6c28eb5)
+,S(2bf6930d,35cacc91,87e9279f,678ba368,e9eea737,8300ef93,b03e98c1,81ddbea9,8a2d4d43,3aaa8bb0,3ffee538,38ca8e16,d0f3f930,c35d0db4,6e2fa069,e625209d)
+,S(766a7725,9cc5aefd,90f005f4,d6755924,a36d085a,3a5856a,6a066a70,6877c8d7,db3fac97,4fd9e2e7,f05bfad1,5e938ef0,90b46d04,bf40bdc4,171c1e33,48049190)
+,S(d25a60cd,953f21d4,5fcc333c,97329da,134196e3,9a913242,88792ff9,18461268,89bf2be8,bd04835f,dbb874e7,12352980,a07ad598,9035270f,397f24ce,790c7863)
+,S(c7b28e9e,8b7125b2,6721f467,b665eafd,9bf56986,8ca180b3,60dfe429,cad95d68,ac28d58,b3a7b61a,71f947ed,8bca4768,9ec7bf34,7646a167,b37c3aa7,9e95c398)
+,S(e2a5208a,c61f8c29,ada2d7a7,4cfce985,20c29160,f1f7a97,ce8b34dd,7c59bc24,de8ba14,49708a04,ccb4483b,4e90e383,a152ce27,777fce4a,880d9f5b,3dc70830)
+,S(e1e8e4cd,2e8df95,d3b2b152,a540967d,6976e001,88287ca5,3e844adf,12e205b1,a5dbc6f9,cdc7547b,cb3f0091,8233723e,d34aa97,f546a491,a77d8cef,43bfc9e2)
+,S(b20f0a51,4a684e55,2b228480,3f3b1c2a,3c3143b3,b895f75b,ea454bf0,9d2b6512,bc3db380,676d0d14,9c0b0c3,1941a07c,f7c95585,cd44ec31,e0edda96,e80d02c9)
+,S(b71a6923,b1adbf77,94cd9d8d,407ac96f,9582cbc9,b9748949,9cfa696a,c29d3ec,75182389,9d59558f,b93113c8,d38c72d2,7b6d75ee,7679fb1c,89bfce1a,64b4f151)
+,S(ca47adac,68ba38d1,8ccef76c,7565788,a82f415f,d9dda65,2004d5c6,a7d3bb3f,bd598ab,1b783382,44035385,e165fd5a,ccd8454c,3969d378,42fad050,4a8701df)
+,S(5fade148,aceee9ee,9fb4eeec,edd5e4c9,4fb989c4,d99f65ee,a45f99d0,2d40e441,ba6fca3a,e82e5581,ac5104ca,c8dd2c00,15afd1cb,3943f1cb,5e61dd4c,d73831f0)
+,S(767dc9d2,14fccf00,900ba01,a1cf30fa,e834c851,e633849e,8adada63,fe5f84e9,8c650911,aca30e56,2d6b97a5,2fd7cbfd,1a5bcd1,9ae197d6,9ee3215e,64404639)
+,S(27f8f961,445e2a20,5daa7648,fc3c06d9,523544d7,477e686b,91d7178b,7e4f06d9,39110b27,82cd7be9,75596bce,6b79e5de,37933242,21be8172,427cdfd,82a73a60)
+,S(8de0485b,343b5e4b,ada4070b,f79dde48,8a1b2889,839735bc,6a403165,3f3de668,90305767,6f43e0f7,d7d1c1a4,4c59124a,12fbba72,8302e143,1c2cfae2,ed5729d)
+,S(5e43db6c,8770e8ae,8ab8d318,8e700c28,5b6af8a1,eec95fe1,b68e5cc5,952df0ff,6882628d,d85fbcfe,3a2a1091,15e59c78,9aeebb3d,37075f90,ae02a439,506c7aa6)
+,S(7db2baab,4bf4300d,e7caf4e3,52df1423,6102863c,edfeb7a0,89311f42,59a4ed54,387561a2,fbbb44be,303fbbcd,685909cd,e553a84c,a3d4c0cb,d33026fe,178e8a84)
+,S(96da8525,39106887,d1fdf9e8,232db3e4,cdbefdcc,abb90bbe,fc04d10d,b996c6f1,65271a31,49127341,9fb5d651,3dc33287,45948c92,b7fcc509,4023d300,9bf9edcc)
+,S(84eff1cb,14eb1284,f5ba51fa,838b485e,64cd4c0f,acb97b00,81ba7848,add50613,926c9c8,a6540a8d,7b1e602b,6ce818c7,609f4511,32f284fc,7f578c52,a6febd9e)
+,S(1eb96371,8e2a2a0f,f5ee6000,7bf94a00,416e6a92,25d59705,7fe19941,e2adfbbe,4870aad8,9635ddfa,dc3d4011,500639aa,d3cf0523,cff0dbb0,9c9f6a1,3005b855)
+,S(2994a36a,6ea3f307,1bda8696,baf193df,c75fd4a1,f7683fd8,d454dcb8,77bdc098,e465e8ee,a7273d4c,d786bd0b,e96fd3e8,9969bf03,1b76aeb3,fc82c4c4,bf856766)
+,S(25e7fb70,f3d357a2,c29b115b,5e2d97d9,d2b68fcb,b7f2fc00,237758d5,9d26c414,4959a370,a3bb895e,bf530fa0,13a86ab8,206b7330,efaca631,fed26773,f356c4f2)
+,S(fc387f98,80bf6bbe,19f0481a,2d66bc5b,c3945c52,588860ea,dfd5893,347c0623,89d7b80e,83caf032,9c9d07af,734604aa,7ba33274,c1081ff,16e663eb,b49d67c4)
+,S(c50af368,c25fc9fe,10220fa8,2f177720,ef5c00b4,85fa99,e2f03294,fe01e1d4,c3777b26,41983094,912b80d,9e94af7b,27d9f10f,978c931b,a4294cb6,b97579fb)
+,S(a0f9d109,d524d9ba,a2e00362,941a5f20,d7015c48,554f5bea,7c97617e,10041f94,28c51c02,daa5e108,3e77ff2,c64560e1,2eae923a,3a699f1,daf3c62a,710e9ad0)
+,S(41d12627,58b708,58727138,908004b3,2138bc23,cbcdfa28,5da862a3,48316de1,6277029,153bcec9,5c95f451,3d515d90,341d90a4,90eb2999,d29df4f0,7c1b9673)
+,S(944c58ce,fe6cf543,d93afb77,e33adb3a,5774448c,d61d621c,fb80f856,6e99ca87,c071ec1c,9b7fc717,ca91c557,66bcb222,3294958a,b7d7b056,e7473170,284d66b5)
+,S(3307ab12,e06d71ce,9c029bf1,88eebb58,9a27be59,17290635,f2babebf,be437145,889c3cb9,28cf9091,4748dd9b,f89e9809,4a6966d0,97d854c3,c6b6a949,c861d213)
+,S(42baf011,1eb2224e,4ca03abd,24307b6,72b74572,2db6a8ac,dee1b7f3,45cb9ae6,bf32e128,d608dea2,4b564bec,38d22c5e,879515d2,7379cb11,25695faa,2e12ee06)
+,S(856baabb,be7b4bd0,49fbe898,110d1175,166c69c0,a2bc86bf,e734c854,c402c621,24a323c9,b6d31fd3,cd424161,be229e89,1f825197,9ed4721b,943d7418,4912ac0c)
+,S(38dbc18e,d998143d,874c224e,de83834d,95aeeadc,805cac1c,3216d830,d24a9cd4,273ec126,f7e85778,ea38e2ea,a90ab5c5,271c6eee,7f934a03,570891e5,167eae4a)
+,S(359dc85b,ffcd2329,3166bb20,c8374af1,5e24c065,a5f48d92,c981eb81,4988dc59,de5dedf7,deef588b,90237d06,e437bdfe,c4a05703,f77b584a,e58162fa,bfbf39c6)
+,S(e1068065,e2e91c88,3de2f73a,6a5f3da7,1d872a74,9d7f283b,b1ca35b7,c63666ea,810c3a52,b5df0851,87928afa,a7685035,a7e155fa,c8dd4523,c5ed1f01,73752cd9)
+,S(50767f71,37e7c9a6,6e317183,cddfdfc,b564956d,cbd5f3c7,fd8506d,dbb19d83,e1c2dd5f,5e9d5fed,807d24dd,3f2e0ae2,393b6167,563db9fa,5e338664,a0d4fff8)
+,S(44cecbf0,cdf88355,f1216d0d,efcea137,5e01275f,f53d8a72,5a0b5980,e6e65864,469568e,5094e9b9,ee290550,e67bc636,e8e3f022,f15c8d2e,25c3ad6,f51cd40e)
+,S(1830c8ea,43cbb07e,fa2fe597,6afca2bb,87ed8a92,602e05e8,86ce3447,96aa18b3,df551328,e064aee7,67f56203,7fa31c11,3c8ce2fa,b5445d65,8bf1dd84,2f1da49d)
+,S(58d54b7a,473a7ab2,51c33417,a41f4ee4,708245ea,c4f8eb79,9bf90aa4,bd9326c6,a191f338,15e2e07c,ca4c331b,fb1cb2ca,a1692093,faf5e789,1ce45a2e,c49b2a85)
+,S(f0dce604,9507812e,603af104,42fc9861,70a18b6e,44e81af7,ba192b55,12c6792c,c221a221,b5e86ed6,23e48df5,5cf0f560,4cc60eb4,c54d95ce,3ada7b09,bbb966e4)
+,S(42fb09e5,72c0302b,286aaa04,644b26ae,e4b958cf,ae5293d4,d7ba505,59dd2ab5,79c10573,a00e6888,fbc7ec76,983e7d17,f46e1ba8,27494099,43781bd5,19f2299f)
+,S(7adf1551,ddae0c9a,8628db25,e0dad10c,935465bc,88b005de,ea2d0412,f3502ecb,657c0ba2,143cea92,c9ef5c3,69d110a1,2e031e67,9d945a9b,b3c5886f,29acfd20)
+,S(dd5a48b9,56fdf6a6,d6271310,afc2f5bd,3a7bfdc9,28125345,4dffd91c,282c7a5a,7390d037,2e067f36,fab52107,29590464,2ac6b0cd,91a161e3,85df7cc1,7ca52657)
+,S(631850b5,15374594,be1c783b,104d2ce0,13ac763b,1d36301d,2936c2d8,8a1466fe,2490ce1e,a9b67e44,a9241416,c5729ace,2016d202,b77efa85,78bf3228,c590882e)
+,S(332e39e4,d6732229,aed85cd5,83a3ccc4,24466869,bdc6a8e0,741b0e06,f3a0bca5,90840f03,60db52ae,a58b1b4,74ad65c,b66ac30d,f4d465aa,60244d48,5d7578e7)
+,S(de019556,f0c7e1c1,6567224e,826532f1,d72c0eb2,91e70980,de7513a4,362f0c97,39a3d79d,1cc98840,4162227a,66382529,d75fa5bd,64977e47,9af0aed8,68411ea3)
+,S(4c44c0c8,e675da80,c6ffbf2,61b82e46,4f81b76c,a3f902a6,8094a2cb,24ed859f,59e1ee88,1ecc45de,d8ff2800,243ab8ac,c5497897,1a3a2246,63b2b593,e45ac34)
+,S(e60339b8,481e19e,5c1f4d1a,85ddcec6,a4e0dcbe,113e7d28,2793654f,309286a2,9a1eeacc,a607941f,b51c7998,ed2a5a98,bc58e3f9,4737f72d,1b08a706,a49d9d59)
+,S(10f42ee3,e7292f3,9f4bc472,708ffec5,c6ad955,c5285be0,d44d02c3,d8a25e66,6f365f0,53ebe28f,db9d5f2b,c967cf14,183e130d,f01a5106,34a975c,ec916a25)
+,S(7e0931ca,d1286687,7d2fb0f3,1c58d74b,703af3ae,593a9548,b6d53d86,6729c445,5e4b9fc,75eab41d,663caf7e,8056f4c8,a9c34af9,22773ffb,f5a12174,1f6b0b0b)
+,S(36313f7e,f9613c6c,ff14cd1a,78362f7d,b7f1acc0,db278f1c,6a011435,57963f22,1e6946ab,2a94231,4ac6627f,5494205c,33960a91,ba663a69,8641bab4,43d7edc2)
+,S(223eeed8,8eedc265,b2e18a63,ceaa2e9e,83f9ba59,2fc8f3bb,55cec574,2869fe01,72122173,4ae29bfc,f3632cc8,92d72d10,5593f7b8,d687e5ff,eff21095,c1bbd71c)
+,S(b6bd5ec9,33302c5e,3fb9b32,18795a11,60dbb2bc,f9a9b5fc,31b7a5a6,28b3ec20,fb9f87f2,98a8e5fe,b15f051d,63b48bac,34f373f3,9b42a42c,d0f1d2d9,c99dd495)
+,S(a365a760,3b1c24fb,157f69ce,8fd57ae,5a802dbf,3b8f92c9,8f0a8b01,4ce24668,73e6422b,7746abda,2a38cc7,298180e6,578005b4,1b0d3760,6f2bec3f,5c0a89f9)
+,S(e86f8fac,43e436f6,f4adba30,9d446a07,e24bac1e,d379e13a,a235ca1e,d7cebe6e,1e7bb4ef,aa75a9bd,713a592c,42a01134,930b7402,77cc1cd4,a913d6db,f4a166af)
+,S(f5a57dfa,d2b25571,dad09304,cfde1da2,5cab3e2,e85895cc,9933e868,eb9bd5ac,d265de5e,8fc90e41,d518dad2,68997a24,8eb90906,becba9b0,c768c5e9,877c1ff6)
+,S(e1dcd17a,7259374,7e6fd8ca,b2464a9d,6656607c,a2bf10f1,45c45947,75f76c7b,efa2c310,23f86d2,6489feb6,1232bd44,dff819ce,6b95678a,130de640,4af9a20e)
+,S(83f8abdd,84996ad,1be74b80,a05da9ab,cb3774fd,cca40c3b,afd386cd,cfa801ff,267ebd64,329fb10e,56ee792d,966868d8,1c85ff37,6aa24287,3d37c63a,4bc3f63d)
+,S(54cc9d79,6ca85a90,27487c71,6511485b,ca324b1a,f34fe454,ea9ba54b,4f259fae,18c39071,ef0b861d,7d016e9e,deb6e83a,3c6ce8c1,517ce0f2,e201da0b,fab2da2a)
+,S(9d12a52a,e0091654,e2875ac1,b11f8744,1c3f65ac,940e6a51,6351c219,31402ba4,5ffbb334,276219af,418d17f3,9f5fad63,c6d7e42d,d53f6e52,bbee2f01,38e81d2e)
+,S(659bfdb7,66821a91,cd030917,ff21aea4,488007f0,b7ef3824,4f23b665,e6496998,2ad708bc,4506e85a,341ef96b,78bc247f,d7321a8e,bc21f9db,8444e7ca,254784e0)
+,S(e2cc4e33,d4a08374,4866a253,81549a6a,76ba1b4f,57312413,d601296e,5eb4670b,528b2b25,347e7f34,7b79780e,a64c3718,80497f0b,a3b28e18,79714089,a4672476)
+,S(529c0b9c,9e21c36c,9b2164c0,fa505601,e8dbbac4,cfcac131,e248e103,e6edec68,7fa44821,72a0ca01,33669e6a,bd2e0386,6cb74f5f,9cbb7e4,96770129,567125f4)
+,S(289d6baf,be6a7d1c,154d6532,a80fb65b,3d89e57b,eb2f1dda,654d3553,683b63a1,801f4863,d3ce8d61,60e2c62c,55267877,db149ff0,c3cdbb53,38893168,7d005400)
+,S(d16a84c9,e3b36660,7c005bb3,425ab432,2eab9b58,58d1899e,51f2ecf0,790f14a1,2c6f5dab,10715328,f9ffc5ea,4ad6e0f1,46ec79cf,19cb2313,79bb5198,5156dd07)
+,S(d03cac39,4fdabfbf,440a6893,e410dab2,a7062df3,ecbe1aff,d30703b1,6b6348f1,152313ce,f530b317,70d85c08,7de95b1b,5dc4a86d,38e4040a,e5d1ba34,449d19f9)
+,S(b66b3c6c,a673c4a9,77ca7d85,1f969858,d4c4b604,bc497101,c89207b5,a863379b,54ba2563,771c6aac,482c63cb,7156961c,4b00faff,187f0560,9a470b06,31624da4)
+,S(be684644,11c47cd7,dfd3127f,4e7d7308,2a43fb68,79c5e86,236e4516,a98c8c45,79290f83,c61d368c,2e395aae,b9cc50e9,7d78ddc2,fdee9f19,a15fae85,826733da)
+,S(478ac3a0,9f34f463,4d61de70,9ee01878,4ca421f,91d20e0c,5c62bfb7,afcbde9b,f752f3b2,ccbc1096,1ae7526f,5574b5f6,e4bc7d4b,f77edc34,f6e37655,7b0988bf)
+,S(745f355a,f2ed71a9,9d4d7de9,c9bd4a13,7271a2a0,c077c796,e7064179,8f3dcfc8,18ea61f4,6b0c87f0,9ed05816,c31e1992,d4fe8826,630c5f6e,67242063,86e288b9)
+,S(54e7bd6f,9878a8b0,909aede5,9286427c,a3157a8e,38ab94b2,18db520e,86760ce0,d7b7d80d,c1eab448,d1f3c638,675dc0b4,e04bdba5,340d3f2d,dc1d24f3,dfb8e49)
+,S(ff56afb6,55eb431e,f3c6f5c7,fcc6febf,99b018ae,3dc95208,27e4a01f,a07d510e,9bfabdb8,42d7b1c7,9f4388b4,49a28d6,ec723210,ea27509,655e9b44,2591e371)
+,S(c2bcc099,ed298fc8,679d0250,6d8ea790,ea511b41,5ff3ebe3,82d39d21,fe9cda72,6c7bf2c4,35ecf773,5b6c31a5,82fd38c4,825de4f0,58efb070,aa1ecb58,530f971f)
+,S(2383f144,9811331e,6c54b9a1,19c681fe,c8549e36,890b80f5,99a80187,8e2ec4e,13ab411f,d846b6b5,938a999a,704470f0,d8fff03e,9dd35cb1,44860a0e,3533a1f9)
+,S(2f2271c0,d4fa1d8b,f8a44584,ba4f5266,9953f72,89de16b8,17d6bf0c,6e096048,646ef05d,b40e50e8,b6f32c22,63ef553f,a957173d,a6f14ab5,7cd60b60,2fb42fc4)
+,S(b7b49b1b,f067a27,eedbe55c,bb011eeb,809e7ada,ada5d08,9bf1f26a,25e951c7,fec760ac,a8160525,ad6ec95c,7cb0329,4a9b7f20,45907331,5b2dee2c,7f7c33ed)
+,S(36c8e1ca,d9933e5c,971866eb,12daf81e,7765d4cb,9f0af557,94181aa5,e5409223,895eb6d0,a0252282,d71cc730,9116ea95,22f2e35f,52498853,e291932a,dc8b8fdf)
+,S(3cbe9127,63283592,13173e01,8cc2b0e0,fa5b8a11,5684cd6a,6ee7bde3,bc1ed523,7b2d3dc9,22f96c9b,9970aa9d,c75f1e15,c5149ab3,d0993055,e4df30cf,ce44dc81)
+,S(76e94d41,c4639419,23448d38,8b239e6,fe0aec99,314ed16,4e67e97b,6247213c,8ee4a6c3,2f010749,103460bf,d75fa38f,f9efe4e4,bf283cb5,a3bc186b,21fa1278)
+,S(493925cb,12c0e7e7,a15749e0,7fe9dba,5b265d27,8eec0c08,506f3433,4b1851ec,70900c6b,3960a465,6cab318f,9f730a66,e4a2400e,d819da9a,1f5b16bc,4c62b193)
+,S(b37fdaba,d1a1393d,79820eb4,a4823d38,3873306a,a9f5e6b7,51173aed,c43cdcbf,8506f0de,57fad139,e20df67b,e30a75a7,dfd325f2,9e35652f,28fec608,f27030a)
+,S(4451960c,48e95c49,32b0c90e,9f90724,8f2b7023,9c6c703,3c29f4a5,b0a5e8c1,83553a18,d9ce9f66,961c9e1a,47766a4e,28bc404f,bef524de,53b1b687,d4d7490c)
+,S(9b0ac1a8,697c69b9,80cab20e,b3f98718,7857721b,c869c704,caf63b80,dfea3449,210e4c53,bf1bbf3f,71e32a58,22809853,61b61723,72e845d,65b5661d,fa7e60e9)
+,S(e6697355,ccae4f7e,122d62de,1c00dcc5,32eca4fa,7dbd1ceb,e92684b4,781e0851,1f122cff,dbe5ef3c,944353f7,18806a82,9d3ded91,427bdda1,736ba236,e9bdc3cb)
+,S(ffa890f1,1a1aa4ca,1f26f86,1288bac7,ad480a4e,1cc47f2a,fe39f260,f167201e,1688dfc4,1716fc3d,473c4149,77d0ee8c,ac569cda,b01ab5d,69d449ca,85439cb4)
+,S(9088d4f2,6ce238cf,63eb09b1,5c04a04c,c41fcc57,946c6c14,cd3b1b4f,54b6bf47,9e380417,bc61004e,3d5c9943,b3d359db,2ae4ec81,2b70e909,bfe265d5,e4d2c2b9)
+,S(a3395dda,c1e760e0,fe7f7e5f,e3296bc2,99949ca2,2c034707,67c08ffc,d9576a91,4f8a879a,54036d17,16f07016,23dfcfba,3141850c,de003870,6ee940e7,452393d3)
+,S(11e54d64,54aac1e0,58cef234,51f686a9,1a77300d,75330ecb,d208678b,2b8ad651,749b2960,5a8419f9,c5521dfe,f552a24d,aaa53f45,908d2679,6e08b396,c9c020f2)
+,S(c8f13cdf,7b41e822,ab6d5a70,7c701d29,98f5f0da,8e4c9746,75e808fc,64327f30,489a69df,17c09c1c,dec329d6,a1f34f60,445d7aad,d609d94d,44168947,c3199404)
+,S(9175e6dc,cf674838,a94c628c,3e1a9dc2,9487f394,8a25e50c,d463cf6e,92d84442,8705713f,ed377125,51e37e51,78ca7a7,c13e193b,1b83c729,8cb08186,8fde1c22)
+,S(8eed492f,b6d5f0e9,ee78f6b8,953ac0a0,5df8b9ec,db17a09d,22863bf4,3620099b,23a45742,17672e98,d9cf8b94,62439ec8,82e1acfd,40db9d9,9ece889d,1e0ff1bf)
+,S(cb95ce23,dbac06ef,79793f54,3105f5d7,5cde90bc,651b7756,bebfa367,d5c2dd9,9612a6ba,c023b0c0,73b5ed99,271ddeb4,57d22d74,f7ecea4f,c618be5e,164a9a48)
+,S(667218c8,bbd3ff37,d42a8ebf,8b5a7791,d8fdd493,9ce447c9,15dac906,67a3c980,dd401179,9e19afdd,46b44aab,1055b554,452a21e7,6750f2a,ce98083c,8cec26c0)
+,S(884799c6,ded4851,ce53e855,dc429698,c7627b5,a0ed3852,19b59af8,32f76e5f,238d75ed,84e6408c,79cd2d37,152cde78,22e34377,fccf05ac,3afda662,c21c4a6b)
+,S(8d98f36b,5fc0082c,597a05ba,e24ea6d2,2cc8bb90,3a6bf96a,256eeead,6911d143,26e8ad1a,fc902a6d,505b2fcf,80168177,de7df931,b1dc1516,f2ad7b38,e0ab3cd3)
+,S(ba9062ca,c0ddc6d3,27f2cbc2,8d2efb1f,d1db2388,c86741ae,7403f4b8,3fd70ad2,473b335b,3036e754,d9d71ccd,53814455,674539fd,7b73d9f7,8f24bb0a,668b38c2)
+,S(4a2d36d7,3bf0e609,7a69be67,55621051,7453ca53,11e288f0,1ff1dc03,acdca29,ff691e7,a90331cd,44e83ac6,c298f5fa,9d694a81,48db01d8,595a4386,b2ca8f83)
+,S(e868f28f,d99c4b16,b64fb0d9,32c325c8,6b365136,e0055c4f,cd362e1d,cf37d0c4,ad3346c1,83401034,8e8e0440,e889109a,40e5fa11,37d94bca,2742adec,4cd4a9eb)
+,S(6c5e8689,830a6ca5,12d77e56,62239833,ea77e696,da40feea,99da3519,2babbf3b,c29e05f1,5fd00b60,7bdc333d,d753647f,56b9830d,46a597c1,2bee9465,ad779540)
+,S(b3a172a5,6ebf2dff,aeb91cc8,6b9d5a91,c317adc6,250ae210,e1a25bec,1c046344,28f6dd79,9ae40d6d,bd31fff9,9a4c2fa,f06401c0,de7a5d11,9fc5faf8,3b4ac3d5)
+,S(198f05d2,e2f9d779,a50aed67,39468a8c,ac4a22ec,71a3ab80,91a94e2,100d8f47,cc6a183f,c9813173,caee3baa,f3fcb223,39708968,360c02b3,cbf899e0,b7cd0414)
+,S(78b2178f,a943a791,4bc7703a,e850b07b,41ae77db,79fc39d8,9f0f50aa,b077f48e,85fd3e34,f2cbb092,8bb89004,e1801be1,d78fceec,c29eabeb,11b9cb15,625274e7)
+,S(6f70df00,1d4c5175,f997a795,170e28a4,23828ef9,d5f72dcc,cec43fb8,d9943f3e,26315213,b77183e4,5979c34b,e730e2a6,956a66c2,a8dfbee5,f0f1eedc,ce8315ce)
+,S(ab813144,3c946d29,d05509e3,b45b5926,e3964b2d,1cd0fbd0,9cfc359d,b5a9dccc,aebdf315,c1273af,a0c5e587,6c6c6132,16b7710b,3f505062,6336ca9,4f5c5ac)
+,S(e72b3791,dd751127,23723e62,77e5e6ed,6b94569e,ba3321a2,a3e883e,5473ad3,131b3074,2dbcaaa0,fd3109ab,5e3a2847,9c2091ac,8830b19f,d4df4c82,9b28a3d8)
+,S(ca5a3296,ecdd5e50,38fdf77a,fcc507da,bb525d7c,56b50c74,61928432,ce3ded63,8bdb6794,b7e177ba,9027258e,42b365bc,5a14209d,2bdce54b,3f865fc6,ffc4ab9e)
+,S(eaa3be9f,26ae8cff,cedbe59d,cc03b202,e7d2e815,a7269819,c881a700,e31a9222,1b5a2cd7,a367d34c,60ef8026,51df2d3b,36ac2816,7cd7eacc,735e45c1,9524ec1c)
+,S(ebba882d,3ab4ff6a,e162076d,56791554,35a011e6,74872206,582b03de,e8e97728,94222a05,3d8dd2cd,cdaf2ac7,69ed8c65,8a004c58,7bdfd0ed,355be474,65be16ac)
+,S(ca0d97ea,537a5dd1,147cb784,eda20601,ba88e0d1,68e8df44,6d8923c8,353aba86,874ac858,89eb86f1,88ebb979,a4490e65,96c97892,874b5b68,167ca99,f68fba1f)
+,S(51de2965,34807454,7e798f98,c5fc19c5,84a90a0b,e1dda24,7718cfb3,ebb797e1,81374e3a,ad04e6b9,55c1952b,fcdf9a7,ace0ee4b,99e487bf,87ceff58,3f7c54d)
+,S(69d611f,3136be2,cce39bd,a1d48fb6,87b52135,365b8df5,151c6ec8,c1387509,75e2d820,563b64ca,c4d127e1,a5c29720,fb84c0aa,6b271fa7,e9da2c22,3195bde0)
+,S(31163083,558660f,23220456,1dcde218,6fa4a4c0,de450a9c,b2f57de1,3a8aa135,25d6d496,b1341688,3008c636,ae1d8b76,29e14207,e5fbb817,539ddbf6,ff46eae2)
+,S(84e342aa,efa9cd4d,4d82e5b4,4d0ad9a9,11f4623d,8684c274,cc3cd561,2c7ac334,fb90dbff,260f9997,c84f0a32,4fe5d2f6,f552affb,50aed654,fb8f660,2a92a70e)
+,S(95efc402,969db115,22446814,3d4e3aa0,fa812aac,8867a5bc,64d66692,67bf6562,315bcc31,6149252c,56f3f00d,445255fa,e4567d9f,d77ab4b3,e82c1359,9f371883)
+,S(5223623c,f87e9da0,bd289993,a55bb9be,55b40149,bb501507,e3d5c9e8,d78d07fe,6bfd0a21,dd2df437,9b1c16,b0076f88,832e921,db3cbdef,fa5808fc,ac613b56)
+,S(f212d199,a6b707e,61d87ab3,109e1178,ea180f19,66b0a55d,f5f4cb97,c0cb0a4f,3280446c,7edbb64e,e47c3142,7c0ea113,7f511422,19ec3824,12f6b069,a0f7c84b)
+,S(6b55063f,f25d76f8,2154431b,20058f96,e1e19ce2,210e1b50,835cf58c,31cfe8c9,5427dd62,36450762,46e99707,6f60ffed,558a82a3,dd7e31c6,492088da,9069f8bf)
+,S(2539e5cf,a09690c0,12ae0c12,9e6f8b27,c9388d41,a82e1e96,47219d57,9b23045,94cb83f6,1e26a4dc,d1b93000,e5113347,31d804b4,a259e24a,77c457ad,d9021ac3)
+,S(aa9b6ad3,4aaf1c30,71aed31e,8f28c3f7,9106421e,f0e53fb6,297fae54,a47d51d,dc0958e4,9fe4ae00,98b4e7db,10ab4d99,58cbd87e,ca443d3e,d1c9de77,83544c47)
+,S(a850a313,aad224fb,f5ed6e63,5a3f6b0f,e08964e5,e9ca262f,780532f6,13487ad,7e476ad5,4cbc55c2,3b9708ca,eef3479,d9a5e570,26f15a4c,43b83363,ed4ccbe7)
+,S(314fec33,f4fd0c96,d04889fa,b18e29d2,5da44132,6477b28c,7418d4ae,5fa09c1a,a2c9513,a98ffb7,9b5dd4f5,49534fdc,d9b4b8d3,1aa6a4a9,76b7b94f,ebd25f42)
+,S(6e7dc3c8,9ec57e79,ae1581ae,1afbdcef,183998b8,cf52dc85,329afa35,4f3d0963,6b636805,6d5a8e9f,9651e3a8,2598ab1b,8f057830,fccac964,a83515f8,9d9f87d8)
+,S(596df693,fc4ba2d5,20497a50,7d1841c4,38b6cfc0,58c274ad,9557d400,573337c5,6609ede9,1c97b09b,3a171723,e9ec5cfe,74b75c33,d5ccb3c6,bd03fd04,b37f4ff5)
+,S(235f8dd4,10de7800,58550e8e,77bd42d4,ee3ba259,97bcb4ee,13cf0a12,14e8afb7,bf6e0ccd,b8e8e136,800f8d59,510a4455,53b72c33,824b71bd,189e158b,6cfa6712)
+,S(a9d8ba97,b259e91f,125fbb28,c80e81f0,3f03906a,ef692279,4c9cc23,13db8b47,e668b954,19b580f2,67472afe,221f5895,5e6ce6f6,45ba737b,f14754ac,ec048656)
+,S(53b44dc6,4f74c170,142bc629,51349b88,c4e2cc35,b7d9a7f4,827b07e8,4a288e5c,4aff13e1,404562c4,d8f006ea,dfee7b5a,32216187,d8c96c7e,5896e157,97075d4)
+,S(76e6e038,a6baf9f7,1acb56ca,1494486a,a9187279,486f62f,947b5a02,580af1a0,51a5d110,66884076,44c18348,be045910,3b57e0d7,2266ffd4,465e6b4d,e1f0f0fa)
+,S(7761ff19,2fc70129,10eda284,dde864bc,1c45b4c7,1bec7870,2bcf53bf,9bc1e6b5,80980f70,a82f7196,61f7e1fd,fc3e7d37,e0bb75cb,b1ab47c1,d947dac4,296e11b2)
+,S(8199c9d6,1224f51f,e6dcdc33,3869d860,95c0bd8e,210d2d7f,8fed2804,a89aadf9,be89724f,5cbd2384,ae9bbd73,f030dc74,a158ee7d,2a9d292d,daae3057,4b1ec89b)
+,S(15c279fc,760a2556,bbd62680,3bd779d8,8bd4dcb,e508b3b7,99d27405,91c55c0e,fd5038bf,ed80c963,4915d352,bca040fd,ea0b9b0,67215dee,3373e4d3,53390c39)
+,S(fb3f8d06,b2804047,6f7b46a3,ecc2e7ed,9724ace4,14831a8,3c111615,f8a39b46,f9250cb6,ff851b61,3b3fd70c,63c1bd72,3177ed50,ac991185,4fbfb3cf,6bd2154e)
+,S(39b2b547,3c964125,da2723e3,97c3fde,f9faf415,db0b389b,5eac9a6e,ba012edb,8ac1c2a5,a586f413,bd68aedf,1f65f231,6bce7bae,ddf9564,2882f2,1bfb7547)
+,S(42d5dffa,e476151a,1d3f6d0b,bb24e8cd,bf72d73e,ac87e848,20cff44a,47f1552b,631d9645,d941c001,627ebe3a,f403bcf6,663f6e46,17d86ee2,922fadb4,b8847ee4)
+,S(84dc96c6,24ecabf0,a5edd071,1e922d9a,630a0bd2,6d9c6158,e311fb7a,e6e0bd8f,40af318a,16b7324d,2acff10a,8bd2fc25,c795cc71,c0aa5a8,2cc8eae3,ef8703c6)
+,S(636e760a,797bceee,11b812af,37bf7cbb,4663ba02,c36d93bf,1873983,4bbf505e,ed5c5e4b,6cc8cf76,436dab98,104b9458,69924f40,57d92ff,d74f703a,65f724d2)
+,S(137fd025,4bb5ee78,669ca6f4,ae278064,7d32bc0f,f6175090,d4ff7580,98d06ae4,282d6aa2,25eaaaa0,e9b186a3,36e92e7,e07ec23d,e9ce4bc8,8fb7f09,328d0fd4)
+,S(218ab848,39e49256,b55bc7a5,cb250fc0,df781f60,17abcb61,1b6734d2,12459e92,7eb14f56,b53fb0dc,430c49c8,d32f39f0,1a7212fc,701ca444,c994b3ce,4d0e1599)
+,S(6b3f7ba0,106f22f8,df69e3a7,8f137605,1b2f0a99,ebb4f4fb,61915495,5f8eda65,c5788c4,4c946bef,86d9a4ab,481e8873,6c831000,5d36d3b7,aaafb7b7,2330d299)
+,S(9b414ecb,a2de1195,196fdf19,62eb5b86,131ad1ca,f7fefd08,c5de31fd,d9e8ceca,38e6f31f,9550df40,80db0626,9da9f4e6,51e94e85,95e74797,639225e,a725a637)
+,S(436b07a1,857425e1,86933af0,d1d444d6,156a4a8e,f3f2df8e,cbaf661b,26940653,94a52f35,f124ebde,ca642713,724fcc63,c6822dd1,bce4c53a,ce155b31,443f2d44)
+,S(cc0a9338,9b25f82,33419bd1,87b5e290,b8d76f28,2099b4d1,fff32cd5,128fbc6b,cc7e86d,ec7ac7a9,448cb627,875500e0,e713ad7a,430ee9ec,220bfe87,6e3f458e)
+,S(5a1b316e,aaf877af,cc7b1907,eaf8dcab,7ea684ea,72fbf888,8f21fe83,c3a19858,4af0339a,da08846a,6b6b3466,da69412e,74411094,22dbc450,cf7424ce,cd81e7e1)
+,S(faf89165,74444bb2,1fe1e411,40398b25,ac4a5725,2f9ff274,e7d409,6d6c53ee,cfa7795f,af75547f,5dcb6426,3b16c9c5,d87984ac,81083cb3,99714f6c,99a43100)
+,S(39e5fd8a,ca141623,1840c68c,6c6cb028,c94cd22d,49619e33,aa9e4dea,d174f248,f8121f65,7083da65,74013e78,88f66276,a8d3686,528aa105,61d10a6f,8c3c1ff1)
+,S(20a135ec,147d0cf2,ccd3cddf,6fbe1356,a64b8ed4,219bc0e9,25743098,325cbc1,b17514ab,ea1a3725,4c101fd2,675d30a9,fa1d170a,811f06a7,15622ae6,ee82c013)
+,S(a181a1b8,af48f73f,a13d69e2,ac75b13b,9903ca11,8a8851fa,b461c2b4,2c72320a,c96c8467,3f487e62,3d72c432,ad5887a0,a66fbd3a,c43aa5a,219c84b2,97a6df20)
+,S(395fc031,720a5da2,faf5d76a,9516de8d,eb462695,5eb87fc2,752462c7,7db3ee4f,4aebc86b,53783895,ab4e14e7,c3ec449c,962ac869,9b340523,1288bf41,c759ad6a)
+,S(a36de9ec,f6df2b96,87d632a6,1bb6337d,3fffce5,71b9fd17,4246b33d,1b64fa6f,784e4c4f,a133d140,1b212e14,77deb40d,620fe29f,d0f05ea9,cdbdc862,651999f4)
+,S(8cb5a899,ecee4430,f7381820,4535f57,e55a3ab8,3dbdc359,d04746e2,9840ba8c,12a7282a,e9c3a3c1,2c1df0ec,c3d28b4d,731dedb1,ef02cb2c,b92da5de,17ff59a)
+,S(de441e1,4d9c9ba1,90e37201,22fd1fbc,4cee72d8,b26b1f29,9c450b66,60b60985,add1a30e,d12ddd33,d4f740d4,427fbeb6,2927b3c6,75032110,508e2114,271b63e)
+,S(88e38b56,b5e5544a,f2f3c1b,7128d118,520646c3,97295067,4078207a,9b9fbab7,8833208e,d44e9656,e5bac529,cbdaf184,dc8ea020,a2d8f4b7,8101d8e6,1000e5e3)
+,S(a4f0f992,f5616420,b9ffa3d1,58d2d729,3ee217c9,60f5266c,6c5f3374,f4640a7,da6741a8,437a86bc,40ec9188,a1af42fd,b131a8e,81289e71,3d80e201,f82e6ddb)
+,S(5f00a8cf,f2d1aaae,604a40be,e451d8d2,86899fbf,37f96ad7,efe52407,1c5c945b,135fc8b6,9ea76d6e,39d1549f,b4692d5b,b48ead3,ae6c662a,424b63d2,b59deb12)
+,S(59351a0e,bfd6fca2,ee04c799,838ddb8f,9d168967,a9e6cda0,b416ce31,88f99218,6e01a267,3184f4a8,28e27b6d,4291e7c8,fc4159d,73a465b6,4fe3d4e9,d50fdb34)
+,S(175ee35,f5c533b3,de87387a,5f263d0c,6705ef73,e77f39f7,2c796f91,2cb1aecf,a3792715,4540e426,1e0d40fc,4c5fbd60,5fca3b63,3cd7b506,a80d0280,b9d9513f)
+,S(75189b41,597b18ac,9ab6362f,a7905ad4,5655951d,fad033b0,2047dfbb,f347b8fe,f536fd21,ffa10ea,57c023de,256a59ed,aa246842,845afed5,b0177b77,21b2527e)
+,S(91af9ec3,2522d65c,70bd2a31,57efd23a,43885573,6b5a1c72,49a414,a19bd4ae,312007c3,8462b858,6b44898e,d0b4419b,31c9cc19,a2ca6d6e,6436bb08,741a32de)
+,S(ddb2fc8d,41fad5d0,5d109443,2f283c5c,732273a4,1a14db04,712a1d84,a4565c27,4f7e30c5,2cec6f4,201673a0,9893d092,8f6ac9b6,d7f2da38,d63ba2fa,d69c1d0a)
+,S(9ce65d22,d7240dc3,50144936,ea412539,ad40a907,f2b04f96,f7ddc1df,f63641a6,af93e587,7f25bc64,2460b425,76062f54,c3037e43,80542340,cf927609,79d97c8c)
+,S(7dc0d0d4,1fedec58,91c3932e,b0bf492d,5489f1b0,1e7f95f5,4936d76f,776e9a2b,d55a279e,760c3c13,bfa1c7a4,93831a14,1e9bbcf5,a535934f,a5269995,b107c47a)
+,S(d01215c,b6b4d728,9dd8d351,f3e4aa7e,f190d40f,3281c8c1,63d03a95,4c0e5ead,ef98344b,ccbd7eee,723ce7fe,641854d,c68be6c6,99eea25,48b2c881,b0fdc662)
+,S(d4d1c31,a9faef8f,5991b0d2,9bdff3d4,bb6498c6,2933eaf3,e1d06767,8d7cb92f,98f3a848,ac6b91fa,85bccd42,f2185e46,715faedb,a4f6590a,4df5f862,ae6a4831)
+,S(cc659ecf,42abf24c,3da2d83c,84b1e32,3d718f0c,41a1b5a4,9fad2f24,c6080839,7bbdfd55,4d843399,b6edf249,ae795758,c7aef094,3f84ccbb,f0f2761a,c81f963c)
+,S(19ba1567,d5cff385,9d074e94,478bef34,f0eb4775,6708d04e,594d1641,71ea4b04,34ea281b,d536b02e,da858311,4e59c110,30555c91,c8b90ed5,d4f53485,4a820f9a)
+,S(3f0f02e3,1a6e5907,631960e5,fd52d2da,e825d8e7,529586a5,437798f5,d7bbc30f,b93e27c3,3aecd4da,59079ddc,be2cd6a5,62a3bf29,7b40519a,3509061,e3e63c3b)
+,S(9884c48f,35f63fd9,5a9dd895,b0f382b4,8d0fb096,e5fab23e,df07924,149ab12,5688c266,7070437c,3d5e321f,58b6f41b,e011545e,989feaa0,13f241fb,4180eb44)
+,S(940f2a93,79bc9c55,3082e85a,c2f83e5a,bb4a6fe0,2b23cb47,4489bb7c,c46c7b4d,b4b82380,77ba9d8f,51e7c735,cbc6a784,2aa7429d,2cae2284,700c0e2c,7f21fd9d)
+,S(a9a7699c,e5353d9f,41afeccb,b5343ea4,5f4beb03,42f9001c,e0742eb,58b782f0,3c759eaa,b3e18cf1,a4341f77,8a601ac9,b0536fbc,5fb498b4,c7ca9597,9587c994)
+,S(a21e348a,9cdb00,56e36cc2,82d0112a,93f4da1d,23f274af,b1522263,b218913,141543fa,652f9506,6ecb8e28,a701e663,c70b1873,b1e778da,588c1f4c,7ebe89ed)
+,S(d6d54d95,1121e118,52b298d6,18ce738,e8142906,306a5ca4,1f048fb3,5a5fd383,897dccb8,de891fe2,304fe9d0,38d8eed2,8f76c8f3,535a2912,41253445,828a7a83)
+,S(7e0a635d,c937eafb,488c7f7b,5efb12fa,6232b464,a3a47ebe,21cc0f1d,c31e6cda,d2d1d4a,75525e1d,2ce5b34e,3adcbf36,74489c86,ced61e82,2d63ac63,8de921e2)
+,S(4ce2080f,66a21c68,428870e8,36b3fae9,55bafa14,fac200d3,afea00b8,d451a659,29e1fa26,565b02fd,318d0f3e,f0df93ae,f0ca1b92,73e31b1d,891f055f,6c7da4c4)
+,S(dab86b87,b633bf65,59cd5caf,1b89e815,e6d4b7b4,d8f58f7f,c091f542,712bad2e,8e49b109,d79a55f3,8d8159d7,f55bd930,4506a634,7e57bbdf,8fd15eb3,53c85b5e)
+,S(c6a14ac2,90fa32e4,e8b5386e,a7672d39,ba16224a,152897a5,6ae29001,b365aca9,42aadcd6,dcc588fe,2421967a,42ff615e,45cd5f2d,fa258164,b2c0eac7,735dbc67)
+,S(2599fa40,880b108f,28f24400,4f3458f6,63510bac,c8a1041d,e694e214,ea450a27,54792ad,4ae1cdf4,6a7a973a,1a02bfd2,a424c46e,548c13e6,951d94c8,7ba57a01)
+,S(f6ab0cb4,a6afa8f7,aaed8fe9,e79ec43d,31265533,6fa4553b,bf3d7476,8ed9f9ff,4ea12589,c4ba0090,48c1a476,1907fcd6,82e913bc,57af13f9,73fd9746,845026ef)
+,S(f51bd48b,ab8f020e,2d97ecdb,d3ff4da7,72738ff2,bc71dbeb,dfdd48b2,707f1dfc,6b168ba0,947f47fa,8a7fe7bc,e7ef90f9,b361c752,248bde43,8c93f3f,4a697c40)
+,S(b601f114,6c9ca90c,af798f2b,1d0bf7d2,a50b286,53521362,5c898f0a,4a2a3443,a6ca3041,36b6b675,5f317a11,59f0f110,6877fed0,fcc167ed,f0cf2391,c61f87dd)
+,S(792dd67a,e5957c04,76f0511f,c5b7191,5be6a158,f2871ccb,37e90651,f85f974b,9b7f5cb9,bec59f69,3a44774d,d2f463e1,1a4c1c5c,84ac3bcb,94175809,4b1dd44b)
+,S(7d884669,33b6f4ad,b3700eb4,f02514ac,4c29c420,33c34377,93101302,8bb093f9,2fc8c35e,674500db,5287ead3,5e46c306,2ebeb5f8,a5134885,a2f9461f,b5e2cb3b)
+,S(9c76eb91,6d0f860b,21b82038,77089435,ead4bc41,df82c249,10edb80,692a5351,72badbf3,38800156,1e235a6d,a8c7769f,e51d1e0,d6de06b0,d9998290,f5c88b62)
+,S(a49b5638,3d8a93e1,55e52a2a,a1e47c33,8fef18d8,2dafc24e,cf5bb0f3,1fd807f9,1bc271b3,9bf34c4c,ee4b0760,bc934646,9dc392e6,1fce976d,bee58e8d,901d3ae0)
+,S(4d3135a,675bb0b0,ca9d5cc9,68f1c72e,a704c9fe,77aea9e0,a4d6247c,dc634460,ae5d7cbe,72f5f4bc,f2f1ffea,cf02b13a,cb74bcef,68cced38,395a76ee,280cfc4e)
+,S(59572fbe,17dd6e38,fc0421b9,b42f192c,eff95583,a9204e37,11f33089,9e53f588,57134640,a8cb3f9e,6a1ab805,1d60a047,a01c8f2f,9b72782a,39c45421,de1c7c24)
+,S(73cccc6d,49b4780e,caaa1c61,228d2e9a,a5fff08,f5605a5,cb5ea1e6,712d9511,463a8d74,f986c8f1,1c12ea8b,59b158d3,6a52c06d,6a85b08e,dbb2cd4f,e3752cf4)
+,S(b6c8ebfd,db620aa9,476f7280,e8fdcf6e,ae3885f1,87683d1e,e503c2a3,8c4c1e46,9a6faed9,f0210048,be575c2a,c8194a5e,76a25d55,f3215dde,b4091060,e7d39802)
+,S(b4162e0f,92de5493,da996c53,93067de3,b9cc4a8d,4c21df7e,b507fc9c,4c5e392e,ccce10d0,c9211d36,46397873,3060d982,eecf2217,7b8ed120,a4052561,6a3b385b)
+,S(46bf2566,ca4235d7,abe91955,2a0b8d40,a581008d,6544d9b7,a2a469d7,8d2b33a2,6f66fd6b,b8278841,92d82e39,cd0bc9d5,285b5cf0,2171ef1,b77c87f,c6785040)
+,S(78446da4,e869a9cf,8badfcd1,b89c135d,b5422a68,2a9ef6b7,419a914e,3d59ab2f,4215b131,db7e46c1,9e03c051,f33bebde,3f5f31bf,2d428983,27d2b586,5a8c9ce3)
+,S(86886a05,511080cd,42bdc762,95eb8edb,fa2b01ca,5cbd1d1f,4bebf001,5605f3b7,c71b69f3,5579c0dc,7078854a,83add404,f9b753ed,597a77d7,67507e77,f7914466)
+,S(a02e675e,37f8fc43,fd38675a,744406e0,36d5fafc,b28a7371,e16d94bc,83713388,d6f9a541,835c80d4,eae16251,277e9eac,4ee66bd5,a1899c36,de3173de,fc41239e)
+,S(a16b6aa8,432c6ced,cd110096,697bc04c,9b299777,ee287f14,ea4cc889,8492bf26,5c11a70,ef9e42ac,d0ed644,6ea7e14e,1e734da1,89ef1ace,d2fd7241,4e0db298)
+,S(66a3f2fe,775fe5e5,d0ba1205,f7b81fca,12d7fc2b,f8685c5c,97114b98,e0f45b5a,5059bd14,a49ad49d,550daad0,30b4eb21,e626e2,95ed01c8,c1823050,5e5e3eaf)
+,S(9a47a3ce,bf9a04c6,755c6321,61150ba,a1f09460,ea855785,96213784,5314b3a1,22da5ece,8f387e6a,f37c7045,b9296927,efd3a3f2,2b95eacb,c6cefc0e,ec40a80a)
+,S(1c014014,9027b9a1,e3ce3c28,8f18fa87,12b25a53,49f9ac6f,97af6273,5b6628c5,672190fc,d048d3d6,b78bc34f,f160f978,87b49934,5753bd35,3a456c96,e448a4f)
+,S(c2d9670a,1de5e876,5ac965cd,497e0765,8d137400,9e4ea31d,57effe5,2e8d84cc,ff818647,a6ddfbb1,3ab56b58,52956d08,b97a2e8c,f852379,cc7a7271,f13ccdf1)
+,S(1a9fec47,16fd6a69,70ce094c,4141d68f,d21339e5,5396a691,e01b1e5,c996ec1d,e38eb2eb,6c8373fe,94f7639b,595de291,d29b8738,11f5d40c,24006d8b,93f8557e)
+,S(b7df52ed,15e91a6d,40e9e500,6b1ab26c,53a51466,98d63bae,77856afb,1d8c464,ea60f1bf,d915fd8f,99d0706f,ff180d51,705c360d,a5fdac1,162ec530,b6e21254)
+,S(2f95cca,bd092e2f,bdc86a53,40353350,918ba7f8,8488b9d1,295f9959,d7db6b5f,31456814,fe6ced86,59ea9c3d,f09bf38d,d5b0f893,8db1ea7b,5234648d,a1693ad2)
+,S(763926c8,64dfe4db,6a1a432c,a37e4022,3b6ae1a3,7def3fea,883a6612,bd8a7c1c,f34d5b72,4378d10e,bb4b3e63,d80f1f98,a3e741e5,b9e4fa41,bd3f0a5,c361bd1f)
+,S(2e43be7a,12916cf6,f312a513,fcb6c98b,708ce2dd,18dc4ebf,72a807c9,c8a31b0d,db919224,ce1b7e57,16e57b6c,ed514cd0,a3a9dc09,8cb59c5,971e99d0,dc24acfa)
+,S(7d65e48f,1a867d28,76731984,afc6873c,2d1acdfb,13a5adf9,a56960c1,cd4a5561,9c73b955,f0957ad2,ff0e2d4b,caf795d8,bc992436,be7e69da,7b97ccbe,d983ebfc)
+,S(1c6becc0,3131b772,cae166f0,4d715390,6b132c87,c5c76b7c,10b94a71,7819d725,2c3c64ff,94998533,97dd26c,dafdf608,41b84a22,cfb4906e,318c4d24,b23280ad)
+,S(f5042a5d,5d118102,32ac83c7,d7edf079,aff339b0,7e9d20f8,198b2a64,13347675,19c10fbc,e644fc6d,2f238802,a045052,b2723f57,5a8bdd20,b597dffd,79a3e4c8)
+,S(7c387866,c2c0353e,6e00c887,240e084f,e0ee9f0,2de12539,b4833588,bd4be300,ccc66f94,587fc58d,42fc49c6,d074800f,56f08855,6caf4ab4,c37b43,ef2b8f79)
+,S(ece8ad23,d33adc2b,6ce38194,58ba2ede,104b35d1,1691f4e0,b7b206e4,eab3c140,eec976c0,7fa1d3f5,f3c245a1,2c9b728f,1c7e672f,53665e7c,5c6a408f,7c0c0a88)
+,S(822b0926,a274dc38,c9eefecc,7d021774,b951cf19,3e2cbc56,a1baf58f,19d12b9d,48bcb10a,f9cac375,8314d2c4,9fcf0512,3638f008,510fe63f,1be0c2de,44118313)
+,S(d26a3a03,6ef5f428,fa058d25,7ce62fe3,401dfe47,80c468a8,5cd2e77b,f85b8c3,98c39762,3a644329,7d5c6759,a308c2db,62f1bbcf,9bae4ba0,10fb1175,126a6fa7)
+,S(7febb81d,8aa0cbbd,3002ab6,ca247d1d,24c8fcdf,bb1664be,b5b3c346,93019090,ee625bcb,12ca6da7,544ca6c0,2a84b9bf,966dc923,d8b23b44,6cfa4604,a6c3ec26)
+,S(839e44e7,2d43b6bb,e6f63a75,cc3644ba,b7aa002a,6de2c087,33df2b0e,51d3473c,8368f635,26f41422,a563806,d775bf68,2d876d98,542b3da4,3e591e31,340fb9a9)
+,S(52e947da,1c96e07c,9e2c84f3,23f2eed9,7e049b97,86d21135,ea958eac,db0d7afe,6bcfdec9,e0c70d3d,39de19a9,9fa72ba,bdbbe50e,dc44897d,9fa670e6,d473a831)
+,S(72ec5426,5e4a743,1d7f6dd7,1c8e9e4c,c8b22074,cfcb00ce,db18c6b4,c67f3603,ddb9360b,7f9def94,f5ea6d71,51eed4ba,49455cf8,15bc9023,6156d4fa,786b5ee5)
+,S(370a3f15,59a55689,16bf9ba,f2863d11,2ac051e9,d6a90f36,af39add3,1406c849,854cbda6,8517cee6,95ab5d3,20b1067b,ee80d993,235d1dda,ba3a0ec6,1f005840)
+,S(12e57888,60d2fbdb,cb3af527,577ef6a1,41d1cf0c,f719ac6a,714f9a39,9bef5dc2,f5af7aca,5dd8126f,7dbb79ea,d5a4b475,a094969c,64adc821,ab46c5c1,86bd9ea2)
+,S(b494abcd,b2fa5de,17b1abad,757bf9d2,8b7905c8,aca0a5bd,fe2ad8c3,30a2b722,c397ffd6,dad8619d,9ff8d8ae,e401a4f8,cbacf710,c6409adf,bf991d72,9294cb87)
+,S(2957692d,900d0b94,b208245c,f71bdcb,118ea6e4,499dea83,1064605e,8ab9d89c,a3c55447,9284afea,37e94,fc24d50,f129342b,7ebbaa91,857d655a,40444a7b)
+,S(61101879,f325e072,bca13642,dc14a5e7,1969aed3,2e49ccda,39cbf723,a1bd20eb,4e199c82,4816e4bb,d5b67269,e9d8eb0b,e5c2483e,d66757a9,c1d59847,e443b3)
+,S(9eea48b2,99f3474f,8aa8c648,c2721fbe,c65f6ad4,990ab4e4,29a9c41a,ba55ab18,13954697,35ced1bc,7e857049,7f2b5a1f,b6802892,fbee0654,c1d7d89c,1f234443)
+,S(dbb054d7,8ba7b707,ca475982,6a36808d,3fff42b6,31f1bc5c,c9df403b,518bd97a,396ef6c0,96343a55,dd404885,427e781f,a55a1f8,1ab95d4a,89d87975,611b923a)
+,S(dba95bd5,7fdd2ef4,9dbcc0ea,35c14dc9,b2f62541,5b08e75c,d70f3caa,b61bbcf1,2af0965e,b7a17e46,18b6dba8,415159ba,b8f76ac,ae9384cc,64a90e32,d20a3d)
+,S(6c312c9,7979bb0f,e72d8feb,c3c755db,bf1a132,722f6ef5,297beafb,8ad0e5be,36366388,db74739d,df78d5ea,3d8fab54,6c435961,71f78643,8be00718,8202c6ea)
+,S(65eb7057,a494bc8f,549b8638,e18cd717,ad987030,aa3161e5,b9fe31b6,dc8825cd,458202a1,67f285e0,9196b4ac,f87068e2,160b7b42,2095bc92,7656694c,2fa80312)
+,S(a0696917,b0e868da,ed5db7cb,d2aebd1e,c1117426,d842c0d6,b567e2b9,4effa7f6,c874d20d,a1bb4dc8,f01cb828,be8bda8b,c797ec3e,37feb0f5,ba55675c,41ecba78)
+,S(4191bb82,19372a13,2dd37830,1086b64d,10874479,1d3b7879,3b27c65,782cced2,c74907c9,8ce4d218,d1ee52bf,82e130bc,49335279,2497b4a,34892fca,67dc3f2c)
+,S(75f37d33,721293ee,5923b9b2,b95c958f,945e3f2,909c38f,3c3e7f5c,79b218c3,ac041f8e,c6b222a7,a2f28e18,1cf11aa2,a7d2fda1,1f402a33,9afdeace,a5928be7)
+,S(cbc3173a,b58b2f29,20b3bef,6f18a84a,6004d1f7,1dd6c65,78571afb,96fb154e,c413a0b7,6f264414,2d3c166d,e9577ee1,b8f36ec9,618e8892,26de4de0,f9fd5c37)
+,S(64e56b09,a139fa59,69688832,419cd1bd,64f212f4,5bf4cdd9,2a5e4370,dae226cc,a9194eee,f2429016,4b41eb3d,b429415,d10915a8,62a02fa7,671bc19e,50fbbbe)
+,S(e33795c5,e2886cf2,9a22c2fb,8e02f913,34e13350,9cfc14f,73bcfb49,355285a6,7890fd21,f33d48c7,24e580cb,7b4bb065,f7c575d0,c6cdf5e1,5c2d6423,1afb304)
+,S(7975e6b,7a73d0a0,d1543d2c,76c79233,6e6a0994,35eb7699,8f25ce75,a6b0b6dc,10b160ae,c68993ed,d5e48d5f,7562bc24,8f16eb10,a27f7115,121ce2f,f63eb06f)
+,S(6d0d13cb,f9c13967,92e093d0,801f441b,c1ca4484,92ce3ce0,2ad71cdd,d1580f6f,17ae4238,84caf022,bbddcfe3,37a44309,4bdb25d4,71da56f1,bae4bf2c,ebb45746)
+,S(2195f14a,23af2b59,c9fd3f90,42608037,60d39867,3fbd0856,a974a20,1bdf0154,fc05b38c,9a44ef01,f4db3a10,b500a372,5ff1aa58,86ff6111,da53ee14,f8136a8d)
+,S(47679c73,60acf8b9,d1b54e16,7d1dd1a2,1f558288,3844fc4d,ac2a7fdf,8b713628,82a02225,f3b8e81d,e4d4bbde,94f7cd97,7ca0180a,ff3a4751,a93f6ca,17803ea7)
+,S(b0bd02f5,1636a69b,23ffe514,cc2166bf,8cb4ff2e,2f7c8655,ac9aa7c9,de30831a,73fad62,48bacbc5,2a7ffc51,fbeba3d8,f4843b3f,ba6c8814,48add0d0,8fd5f518)
+,S(dfaeffd6,bfe9f81f,ed3f81af,adbec5b8,aab5f15,23cb7452,c689b01,a3660158,3f54d105,c3ef4814,e6ca4bf9,ccb5b54f,30c4bf80,10d7b24d,f3b5f3da,c9240583)
+,S(eb016abb,da661e49,8f53d2e7,96fd6be4,80dffae3,eb7e4ba7,46ae06b,f40d42ed,310d6dbb,aa7659a9,6cd4d50a,dc2e5e85,10f005ed,6d29d1f5,18bf83a2,7af895be)
+,S(989e1bc4,3c0880b3,6d35b5eb,137f8e61,7263784c,d2f35173,e517afb0,c99fb2ed,4c4ceb5f,110cccc5,3a35963d,11df77d8,999b3bb4,c2cd92fe,b53b7476,9dfaa1d8)
+,S(beb0170,be4a7bbf,1f65bd40,776d5efc,dd801d6f,909250bb,fbee1198,c2033811,1356b98a,1d329a38,57a99820,26d3ce6c,f52349d,fcc59644,ff4dcc13,8486461f)
+,S(2d90bc1,986f9a4d,6f75e596,96c4296a,ea9bc55d,5b60d12e,337cb42a,ffc0b145,7d57cf64,734d1997,bf84b721,e67eafb6,b377ccbe,d2ef3b5b,48dc9f06,f71a0c4c)
+,S(6b7a6a54,c9608062,de196848,dc3673bd,59fd53f3,fee72481,e829ca77,789f51bf,6a9ee208,157b8a69,f0879f30,c58afbe3,dd4dc42b,43cbf21a,5795224e,6c09af23)
+,S(c99244c7,32cbdfe7,68df8fa8,7b7e7eeb,16faf0e8,8870fa8b,f4abcb68,368e8393,20ad1b55,53ba2ad2,40563453,b2dae2e8,58cc9b8c,c6a49951,bc0c0fc2,875620ae)
+,S(553fc07b,402a8dc5,5f1cf4fc,609a01fd,350fef26,9c1f93f6,d2871f94,70f01b6b,3b518c75,39616def,fa7cd0dc,7d7d53ab,9b310217,7e470290,9c199137,34e5a824)
+,S(c5930378,6ed8a7c,b3cdfc80,a34c85bb,721fa927,9492e369,a4e4bec0,c0fe2f69,3699e469,8a3e9129,3796dea6,213fd702,d7580e67,9f446300,1e1c7a53,3717c149)
+,S(cb6f1118,f4d59964,b8f4613d,8c349d74,8cda0e7f,f1d11c6a,79dbecc8,911e7eb5,62b0ae88,98b0d5cf,723cc88f,48257c47,ca0fe3d,7de676f4,cf4835c8,fdde20ee)
+,S(da2cab8f,8c26668d,d9722ae6,1decb99c,78b5d48c,966889a9,46fc522a,31a26db9,6a03377e,234f949,4a614cb7,c93b131,1808496b,12485ad8,fc21e1a7,6d0c7e98)
+,S(fc6a4d42,3f9be3c7,fe337411,f03eef,fa595b83,9a6eca82,b228d5e6,b43b7d86,6c089544,eb8fbe1a,3dc78fdd,ac253fa8,27dfbd6e,269196f5,bb476865,a298beff)
+,S(73c9a91a,b9c6e0d0,773258e8,3ca9460c,3d09fb49,9426fe09,db73756d,e3dee882,8b314327,efc0508a,d5a90259,c9ed876b,52040a10,45d06224,78cd635f,e571d2b3)
+,S(a69f061,45b8cd1c,343e6127,14b80996,2bc02848,ae976762,933744ca,3b4516d3,87518d90,b4503741,ec16caf0,18615e27,96b6d91b,47f649ae,a86da209,d70ebe3d)
+,S(1cbe4a25,70df40b7,1cddfb2a,c15ba441,376a430f,446a2572,fc95235f,28ed9691,12554ecc,f262e1aa,cf2a2d10,ab3953ee,c8ac69f3,99c5380b,6ef5d202,5613de85)
+,S(8dea49c7,406dccfb,4305ac85,ba08b191,4ee2f11a,8827852f,d13c837d,b788e27d,c73d61a8,3b517c3e,bab8b15a,b7a0506c,2b6071e5,697b4056,d902957b,cfe9d9b0)
+,S(de926377,b175cc3b,1ecab5af,81d38d6a,5e4b717d,55bc94f,6e4c43a4,86d0ade5,29d5f3e7,9169d974,d4289115,d8d4b8b1,6be387ac,e60d1cb9,73c387d5,17d0e11f)
+,S(6e76eaa7,aeb37ab4,ab455a2f,3d525140,f6e8a9cc,5eb18fa3,8a9a25b0,d3b41497,7e3cc5a,78909d15,bbffb936,a47aabd9,44c40a3c,d690908a,89f193e4,95e066fa)
+,S(37131ecf,22d57f0d,a662b03f,c9891f99,4678539d,37f5ff8f,9eed0f8,bc607574,c03b2d21,69d42968,f611d596,e173d4b9,281323aa,6abae6ac,c177a1c9,1249f3b3)
+,S(72088814,82c89957,28e76633,bcdf0ebb,65155c8f,4979a4e7,66713f37,4a5d8152,6783c59f,8c0adc8b,da8e26f8,1990a00c,588a7974,b48aee92,d2a762e5,c974eedc)
+,S(1b8263df,baca44b2,a7fa7a7a,dbf9d3ce,d4567fcd,144d9e8a,db712365,d3241864,1fc7e3e,24f01143,1944b98d,b2dac036,edf36680,80196785,783a41be,d788606d)
+,S(7a372de,27ca7f2b,8199714d,bd583edf,ea41bae0,5a1313df,f1a8c260,cef5fd43,a0e3216b,b32c5785,b5c60f22,f5e4ed5,a5d3ab64,ba0eb2e2,916f1b9,b6281142)
+,S(71815daa,55254491,c8bb9432,755ac1f0,c30f22fd,79d4232a,72bec0ea,8cd02300,8b341392,8de15c16,5fafcc68,84ebe3c0,3ade0918,4c463804,876f1600,c76471b4)
+,S(1a54b7a,d3cfcc64,b62d866a,9f2056e,5535d4c,12c89c78,5d1c5c53,ff654d2b,b7c77ae3,9f4b87bd,22c77395,a91ec307,e9f5aef9,dd2892e8,41d8390b,47a12f19)
+,S(85cb4457,1fc973e5,dcb0b695,3d75a2ec,22cd2820,74039987,7262b7ed,999c44a6,efdd1df3,bd13fe66,c0d4ef02,8e142093,58037a7a,bd06ed53,280d3318,9d0f6aa5)
+,S(98e8649c,64a010c9,424b305a,2407a36a,cd72df8e,138df962,c35bdf75,fcfd4e4e,a804c569,34395d7c,549f7770,4c3faed1,624a8cf6,fcce08ef,cd3aa486,d5a6c60b)
+,S(1eac47e6,a297e5a8,8f433895,874fac8b,5019a164,69c6a881,7e500b94,74a5a72b,8b7daa6b,784ddeae,f380bb1f,fe64b9ed,43a10a2,95c30325,f519e4ae,da11105)
+,S(f079ac65,91f27363,17e9e0ab,6a723e25,e29950c7,a02a66bc,96c4ae68,44f42f5,ea87d1bf,c99f4374,4acc3ca0,214a1ef7,490186d0,3d924562,24981469,c432dfc5)
+,S(d6d09d79,bf1f30e0,f011c3ad,a077b1d8,fa0d94e8,8683186e,ba471caa,32539643,8770bc64,fac8f541,f730494d,cdad2d48,ef510037,466bc049,876f5cc9,7caa8adf)
+,S(376e4bd9,f8963368,7059565,68313f89,d6416ca6,b1e4e91e,3aff3ba0,b8351f65,ba436de5,67248f1d,5e99e8b9,6447cb28,497deea,47fae95b,78a5378d,e65f13f1)
+,S(270f3a18,4b42c799,a2193dae,c96f834c,b17cb53,bba1610c,6578c741,b9f20d7,ccceb12b,9ab98bbb,a0fb0d0,1673377e,3a7054a9,f4a3b000,21b67328,57e7e5bc)
+,S(ae271b64,1a1e5348,29e47a8a,93b496d0,b055d2b7,fa98ade2,f505a5d,ec1a599,14e9552f,39b481f2,522a9a23,f87afa9d,5847908a,53c1581e,45dfb244,7fc2bdd3)
+,S(569eacfb,177d8a74,a9288ad6,4ee5390e,db36a93a,943fd6a2,5ec869b5,a7f28c8c,1cf62c32,9127642b,99a7508a,a6f4f136,bfda9af5,45f52844,cb9c71b,5f732f7c)
+,S(77c7f27f,fdc4e7ba,a326a246,89790f8c,41bfb5ed,6d365e46,f277cf81,5f15b558,4d3440dc,138be5d9,566a6828,852c2ec0,e0f970eb,4501a43,25af933b,821c3007)
+,S(d66292db,f1730306,a87f67e9,b044fef9,7d46761e,7b8301ed,132ed7d8,94adbb25,ceef7755,8ceca4ed,92145f23,8bfcb32b,3d36db14,6fc50209,cb0e58f6,2c8b83c5)
+,S(1c42832e,12ea6f44,b77927ef,7ebb1f3,8769e3bb,f5507a49,25e8565e,a77ed0d6,8b9383a4,b31b4f5d,a717917d,9e1e41da,786a62a3,327be11e,280e538a,9c29d5ee)
+,S(63e57eff,942262a8,cc362911,fb98cf30,60832435,3cd394cc,5d6abf77,b21f7968,9e3c1e2d,fb9083f2,4c344e7d,322ea530,146062e2,a25fb6b0,4502ea35,59b009be)
+,S(be233fa1,86f38a5c,72c88e59,19094ea8,cf3ed3a9,b4ea3f9b,2a51489,97b83c90,402eb2b3,362fadb2,6e389ef9,edc537bd,40bd48ea,6296956f,efd19d0d,eddba564)
+,S(636ddb80,4e7c74fa,9c5f4d06,5a730fce,f2cc6956,4a24b579,aaa0c3f1,61844b78,6a4a3569,583212c6,22feb59,897eac8a,6aa31ffb,916262e7,deef47eb,e6a2496c)
+,S(d251c1d1,7250d87f,f7b5af1e,ee2f2566,215ae7c2,b6e69e60,5bdd6c2c,dee1c5e7,245accf5,7df52fa8,cab5c986,2b96658c,5de60d06,c84584cb,f554b518,7fb4ae78)
+,S(405d4cb8,c62f133b,7051cbe0,54b06f42,9055f917,3ba8248c,c3bdc744,198ed407,8463df10,a8963cb4,298e8031,bd2bc3ed,523553fc,60746720,1a9abba7,305deb54)
+,S(97f05aee,9ab33a07,e14a0314,4fda5be4,ab329394,1ce8f003,546ed8e3,9be983b8,59e62a26,7fd9138b,c4c70b15,533782cb,d321f120,1e3d1a7c,3be4ad5b,eb849261)
+,S(3388161,18e125c0,6a9060f2,6b9ad691,c99fdf8d,4309553d,ea160749,eb91ac8,583e918b,5b8e1a68,c053af0d,245a9902,a571788f,dbdc0c88,7281767d,9404384b)
+,S(ddd20c46,6bbe6a25,9f706b1a,ddc3b607,8cf65366,3369fc31,dc8f7fd3,3d17a9f9,b2df7b29,b4ea9868,bbaadcf4,6621ccf1,7833e159,acb43daa,7cf78e89,c1de5a99)
+,S(923c6d2f,71ae0ee5,596c26bc,31389cbc,eecd0712,e8df91cf,dfe00172,3bdfc9f7,6fdb28ad,27c41243,6a41ae96,99a03d40,5ff2ed87,3207f082,414a4370,34be948)
+,S(6d42a6bd,28d57e87,66a12461,b8a7d111,a448876c,149071a7,fde9df18,dca09e65,4df07ab8,1dbe97c,3585554d,f0226234,dcdd2826,747f2775,640bed6b,95fd28bf)
+,S(7fd42961,59f9f259,d3c3610d,8539ece1,70efe104,31c9a3f0,4b9630ec,21d761ae,fd695441,b8ce2bf5,1037d00c,4d50e640,e85b6001,6d5d26dc,787f1df1,25d7e280)
+,S(48c1050b,128d97df,e7900a01,70559990,944045dd,f408d8a7,5b59bb25,ea6770b5,8f7ceda0,4b6e319c,1cc61b31,53538a09,d450e49f,8863061e,f9b017c1,6cf66559)
+,S(54462d9d,a12d62dc,96abaa1b,4883c67c,b3214c40,de5a4a09,689658f7,dee2a686,7673ad6f,916011d7,fd33bb5,eee819e,6a3f0016,d51ae37,bcfec2e,59ccd957)
+,S(698534c4,e4e11d89,82a5a46e,44b771f0,95c5fe47,54d7a261,44373982,1e6435e8,36d602ac,b2720c71,8d619a8a,5e7d6873,9faba099,f71c1137,6a8f41d4,e1cbba18)
+,S(4493f759,51c681c3,bb376b0d,7c88ecd9,d0bc2a21,26fd341a,d8c4832a,be77ecc,e553e21d,d4d99aad,97f15857,4bfd54be,df7143f4,e829c12a,39109892,c120351e)
+,S(b054daa9,330080e1,89784cf5,f917c024,6c06325e,687e6ec8,cf8be248,ccf8313b,51f04715,5c9ce55a,c755f2a4,602420d,4ed52a5a,1dee9a83,b0688b1d,b767d866)
+,S(4b4272a4,fa996b1f,9ffe6796,e6519db2,c1f8cfc9,606fbc57,1fe03713,c029583e,9526f2d0,dce7c53d,5cb36f8c,fcbc517b,cecde833,4384d10c,f5fc80a6,ff0edb83)
+,S(d61eb681,c69de82e,caed8e64,7d1a3948,6cf63f83,f1f04bff,46a04aa3,63e29604,9b5a92fb,156d7b8f,37c6d9a4,30ae28eb,f62fdf5d,5bf441df,aa386259,721f08b8)
+,S(bf8f002,57f979c0,9f973c8f,3dc15eb8,8349e340,efd8d57d,5763e4e0,c2bf507f,561d862f,1041e670,fdc265a8,36d363a3,43346739,f4f177d9,f66414a0,820614fe)
+,S(63b254e2,a7a6fad6,4d9ca03f,7293a86f,b471fd45,51ec72d5,eb03e289,774cb498,f4145111,3a4ce922,dc7b3819,a2de49cd,f5be7d53,6befd880,837bbe7,51948c8b)
+,S(bae6facd,e1da6ed8,63491f33,c4c9efe7,50fdd908,6b93c09a,e0418a29,d3968725,7c7dc955,e483176,f6bdf74c,6654e6a2,e4ca46c5,2526349b,b4d66090,6ea30533)
+,S(f56285f8,ea15aa08,f3ed8139,59c660b0,d30a6317,5380429b,59584623,aceb34af,110033c1,a202194a,40703c9d,ea2dcb9a,d9a0f6da,7b99b8ee,31eb1ce9,55a9eb9)
+,S(876c7c95,3de3d451,edb9191c,60e8e36a,eafbad2,198ec6a5,40d72633,8151d87a,95efff74,72ce0c6c,4010d17,7e52a859,cf55011d,1005bd27,df54e25e,972279b8)
+,S(e956c7ed,77c7bd5,68096902,4ab1c758,a024d86d,ba3f30e3,fbfd83ac,940a6d30,1b5dfca6,f0d19ab7,7a57a9da,259a564a,5aa5759,ce6826b,45c71771,7aad9da)
+,S(f53fde61,abdb4543,1456e9c0,65048cd7,ab743b5a,81a468bd,8fe2ffaa,99dd3f16,1d28b539,47ea22b5,178e86b,ab3561bd,a65ac78e,e0e2a6bc,1a26b64e,d790222f)
+,S(b91a8681,52eb435d,475b9103,936a7c62,5e49b0b4,f7bcc3b5,f5d36449,c8043ad9,c758d17,56939bc0,61696f3d,11dd1bd5,722dc90d,1e8be88b,b3430062,a13aaa75)
+,S(5a87bc70,23e32927,db4c55d0,abc97536,61f5adcb,b24c2897,b16f08cf,8d8f8cc7,9ceaae4b,aa6a0d5c,46d2120,fbff74b4,9d1ac32d,88a89b2c,3d2aa6e0,6f731e54)
+,S(ac0b1b43,e54eb354,3bca80b9,efc5cdb1,215622a8,66b66e80,de979f79,71ceb034,a891575e,5731e152,17bc2b87,197da9b5,439477fb,d2bf07f6,9bd13f3,f4638d8d)
+,S(d3c41ebc,2017cd82,76f4d6f3,f6ba2370,e84f1949,df3abdc1,45073467,e85ca915,52ab1d52,8be55945,1f6b1e91,610fcf35,bc1e9576,3ba3ece6,9da5e4d,8cdcf7b7)
+,S(68cffc57,f4c82cc6,f7900d00,fe1b0f36,ab842e4f,49ee9063,4d1ebe95,47923b02,729955bf,aac10741,c3fda281,c18a306b,367ba904,baed26b2,6fe6a485,9ab1d8e2)
+,S(7e0f58e1,246299ee,e08566b3,35324a66,579dc765,343f874c,d30f2553,8c177d9c,39652583,587293f0,809af7b,5d366740,86b9015,6a05928d,cd340196,8821447c)
+,S(c72abbdb,d1816498,eb53d4bf,1b325fd6,5dc45086,73257bbb,97a15eb8,e4c9b542,3c8fafa5,5df5f3d2,88441ed3,e46cd318,841a068c,b681b782,88e77afb,2b25a7b9)
+,S(74747f5d,3eb09144,1f64d76c,ef690378,943654ca,73fe15a1,b720abb5,d2363d0d,12c6724,bc7e8f7,321f993a,5caf0547,bf54c1a6,41f959b9,746fad7c,1c443649)
+,S(f2a702d1,ab1de7c4,34cb5d71,dad689a9,29db862c,d1fb06e1,212ffc8f,91b67067,5b91e2c,c730ac9a,cb7452bc,7fb4dcfb,1d5ec11a,bd146429,62c7bd16,37afd854)
+,S(a92d4f08,14e76b46,5fda87b6,201c46e8,c2535b3d,4be91e1b,530b5634,d00d9340,4d829a8f,3c02fb40,569fd9bf,e754dad8,38d96dbc,2350f0be,6f4ba065,5cd0277)
+,S(79e30cb1,ac06c3b3,f90ea320,60a80fba,df5ea142,84a15746,2aaf917a,26f205a1,ad220a0a,81459495,5ac8a79e,d0cba974,7f17364a,9f6168d5,3521f276,c8d5c82f)
+,S(6d55dc53,d412577f,463252b,e240fa32,88c8d6a3,babd6ff3,20231b6,8c9401d1,83a41c96,aa3b32c0,59155345,2679f056,c98e17c8,a0a5e154,d732fd3,7b006eb3)
+,S(cf9c9f1f,604eb909,b37ea5eb,4cb8a0c2,11ef14e2,d3e2f48,7c83b56a,49b3f20a,2b90b9f6,4e649988,77260b5b,ecb441de,da24eaf9,df56ff93,dd3d1c8b,a247dff8)
+,S(60d4299f,29ed994a,b3367780,9ef6fcac,e30f435b,ba9a8346,a2fd925e,186b35dd,df69b88,b8aab4c5,8ff86ddd,2d8e424b,40d51a4,9d189437,37b23695,4760331e)
+,S(d93a6edd,1b674a60,6b6bbb85,4114a3bf,7de3be59,82cd2122,887c5376,d9493540,87da37d7,dc79197b,c0159006,4f921ae7,acfdb08c,447ed230,423c51bf,f9e5f7ff)
+,S(cf8c3d37,7e108d98,b72bb6b3,1cb7b5f5,fd5869da,1a06fc60,25d9191a,bd652962,6f5cd02,bb96ad02,db42b034,321b3cae,fc54271a,879edc93,afc9c8b1,34128fbb)
+,S(6ca99247,4637ecf9,827ab65a,c7b9ca0c,715b9048,f24c42a6,90847e68,8cdf29eb,51378da5,fefa454e,d96a446e,dab57c3e,8bb6160d,d015c1f6,d93983e4,feb55439)
+,S(6f7d2c04,3cb813d5,dea67758,cacf2e3f,3cc3064d,7b9f08c5,58ed686d,28d17afd,4794e278,13ecec48,33f9106c,17c5e161,b590a5f2,ac293c8,c65a6cc6,5233bc6f)
+,S(f8aee0d0,bc9883f,ab6a82b0,184e9199,e818d01a,7d99f475,d2ca8a24,e924f3e1,acf9cb2b,69135df0,9426bfa,c6b1b3de,44f1055e,5cd21b8a,b526f34a,839442b5)
+,S(8b00fcbf,c1a203f4,4bf123fc,7f4c91c1,a85c8ea,e9187f9d,22242b46,ce781c,61e9e58a,3e81e690,ec026428,ee5442a,a8de699,dadfbcac,478985cc,89d35bc9)
+,S(fbacbb07,8e84a2b2,c201ebbc,1cc3212c,a7278523,e984bc1a,b0eb7fa1,39d6dd4d,2c6c9dd6,f5eb0899,797df675,ccbbaa25,4e557d5f,d16c6083,3aa84a7e,4c3a0f52)
+,S(1556875c,2f32f053,8d28f993,53ba2804,5ba601bb,3df8a175,bfa33dac,ac5c0611,53623050,c3da9464,8e9fb540,5888e387,d2eb783a,10e45cf8,ebaafe84,a4e240b7)
+,S(b602b095,7f5b5e98,ce3e690e,c683f803,49a8ced0,5985f79e,2e972bb0,2d93d77,78868390,ddd6b821,e30046ac,b1bb7b31,ff358838,af5b89d9,60d39b4e,85435227)
+,S(2a110165,23a5244e,89d66f8,a06f0553,7a846216,75fe4377,24f51501,da2dd17a,24d3b525,e1ca62e9,b02de498,30737f3a,b881d078,7d2c2bff,938c53a1,b8825159)
+,S(7314759,1148f9a9,ce326a8e,4f43d2d9,a13edb92,56fc9d38,35a35da6,457efce0,b195cc94,80d0aa04,d3ac7cfa,45766472,1ad5adf0,3060b790,c7fb0ff7,77b2d8b3)
+,S(a36e4fe4,c7e23d7,16362979,c5a9d8e0,525d864,37d96e3d,b2f45edd,b36206fc,56ace785,a428db4,a8a70de8,708339a4,346699f,697a6707,c745635e,66844751)
+,S(97864be7,a2c54118,5d61b61d,5a2494f4,85b877d7,e8864402,3444d778,f43cac9a,43332a78,a85b8391,551dcd90,e93e71c,3a6c5428,71b980ab,138eda2,b9f2ff69)
+,S(34a52dbf,2449eea6,da2c92c8,45dcd47f,daa7ca41,5ff02458,b74eb996,8519893e,add41829,900f26c9,f7ba8d55,21f3bb23,b3545a35,699d41b9,4270547f,e303ece4)
+,S(e250aba9,94eea617,5fb7b2b4,8631f5bb,d8bdbbb,799f6fcf,5afde8a6,2ff3d629,803f34f5,9db0fa86,bcb6fae,689530fa,2e92c4ec,bff1757,409bd836,8143b0ea)
+,S(18356a6d,b5946e2,1149347a,4558e116,7953042e,e3b2a372,869ae29,b871ae00,56ef0971,6b176f81,e1f98ec8,dca127c4,ba6de23,ba8c1f08,f19e9abb,995385cb)
+,S(35a8ebf5,e5306084,365ef3f,30c29e56,ca5932d6,f73d688e,ed3cf2a9,10205533,9eae5d95,42954de,23d41032,5ada759e,20d30fd5,c2d058c4,53a18520,7f259958)
+,S(37e06f5,25ea8fe9,ea862b92,53a965f,7b3dbe90,9ca487bd,a705041f,e6a4e1b9,83919fd3,5e489bea,23f13b60,41a19940,3f2f6568,fdcf60d7,3f57fb6,1fceb97c)
+,S(abbbe697,ac6c002f,11062947,6e4a6ffd,48316646,718d8713,1a4dec19,5e131c27,b2c926cb,9d5122ff,7f8d8a24,a20eaf4e,fd704944,9aa48300,92971572,b12f9dcb)
+,S(4df36acb,1484dcc3,f7c29c8b,78915315,5a1a3636,aeaca043,68a585a4,69b05878,fe16fe6f,c08af026,3fc417fb,19564534,aa059f4b,b7fced09,d4fc20de,6a41c41d)
+,S(5ff14ee3,10256a0a,889570e5,ebdaf6af,c8f49c60,dc7c4731,23a7d29b,e799d0d7,96ff1538,55eb2fac,8f2a923e,ead9851a,95382d6c,56cfd0d8,9891d2bc,f7e65d7b)
+,S(16a12c52,c1d422f4,791281a1,b7ab7186,a24dbac8,36af6810,4f62dea2,855d119a,7a6ef272,f67356de,46996cb3,8bbaaba9,d36a4bf4,60e3b2a,b3a81723,24c17478)
+,S(8f4c9c33,83688920,a48b3d15,4fd567e4,5fcdbac,bea44eda,60600ffa,a1489ef5,2bb5bc4d,e06444c7,b2bc0082,d629e2e5,a4b0abd4,8cbb9b4e,37d564ca,db885717)
+,S(498bf39b,7547010,854ca399,e50399ca,19236d2f,d05f5777,6abd6d2a,aab83310,8e2debff,cb58e36,bcc7beb5,8a45d4ba,b5edcd46,2c355d0c,4dde51a6,6afd691c)
+,S(78147e0a,2978d396,b22247d1,74958336,2ba51d90,11e89c11,71e6e136,eefb5996,a66b7b0c,a73b661b,e71bf0fb,2eb4410c,4c75bff5,b8b05fd4,1d830d27,ff85989)
+,S(351298d9,fb236c7e,5477aea1,d2df0048,47e112a2,e16adf66,3f4d77dd,828d4927,6c9c91af,8b6f23a9,d15c3884,e618ae51,241094d4,5878ff20,67f2ac81,dcfe00f9)
+,S(fb5ffc0c,88fb609c,24cffc14,848549ad,c1814668,9e5f8a67,a342bcbe,16399d10,a995e13f,9ced94cb,90feff32,8e92e978,88cf5791,c885ca09,46f46e5f,b8229ab3)
+,S(8352b7c4,4cc09c5d,717bd197,40dcaaa0,89565e94,77cd76b3,6c7a4fa0,4832097b,9507c998,fa25d9,758ca78,6774ae68,f91c8fab,694c5e23,6f8af6c7,7d0fe6bc)
+,S(1be65c0f,273a2746,d6d014d7,6bb1c595,5d5ed1db,62ad940b,d8204115,85919f4a,dac98f30,2a38f839,a3d470a8,3ef83ae8,f044e93c,80b23552,da3da359,5c09a3f2)
+,S(7107f3a5,2f4be227,eeb65037,ae800f64,8de14d89,ebf743a7,ed65f98c,b58418e,bfcf1c09,bd1af327,d14e429d,18eeae45,927b2df2,aa15ce60,69f6a74a,69fca7a4)
+,S(117284b,e8edae5b,1ce54a13,3b1f9d98,983389cc,a4ccff,9dd04973,97312e3e,91e48c1e,724fed49,8bf51999,4c84d0b8,84e3af77,86e61539,638b45c3,8212b03d)
+,S(a08d86de,b1ff9ab4,651f1cd0,d89b6714,41c243b6,c7e655de,d31b44a7,b00de54e,4d0fe7f6,344d39d1,57764fee,f74cc949,a72ed8d4,c2dbc12c,ec2629c,830f0d2f)
+,S(9c44c1ce,df67418a,eef2cbf3,68d48a08,98cfc633,de711550,3f78ecb5,a4e8c25f,3cda2020,86d3f096,31da959b,9f9870c3,de3d3c6d,e4c1b35f,81f64dbe,31e743fa)
+,S(d933e475,5215c065,bab118da,6f24d714,f8597949,a52ae319,250338b2,2339f149,5fb0f28e,313af04d,de3abfa6,4981287,e277e39,d2f19dcb,547d6fc,88baec45)
+,S(7fe1f197,ddd0532c,a2010528,9f243bc6,4c2f9e53,65aad5ff,63c0f1d3,188a42cb,813b133f,a1869218,ee361828,6561e75d,a9ec6bac,6ba2ac7c,d3f5678f,fe472af7)
+,S(e3568521,89612102,7ad0789c,72dc6d57,7ba412ae,b3d7551a,96aab952,c507f79c,7645c505,8e2ca8ac,ae5fe225,eddf4d45,7d820114,cd5e69a8,4966465a,423e3a30)
+,S(c56afd46,8a5644a2,abebcefc,3b6a9da0,c667a183,b822780d,146ecf82,b6ebece4,9e41c655,a80e2844,89fc587c,b686549a,2915ba14,1c691e75,cc635f9,54f1a8d4)
+,S(b242eb39,60e6a8f0,73b6042e,1095f0e1,440f9f8f,d1abed56,ad1f26,a1589345,944da76d,f063f0a0,3602decb,696f2a34,378579ad,e8469ca4,bb5041e5,876dfde0)
+,S(3a52fd66,6d2e2e2e,888a43f2,fce68703,78f835a6,b5c3bd42,af57b107,323bb827,12e51177,a7b37a46,2755cea0,18f4f29e,96c7d6,d0e434cc,4874da99,a7af91c7)
+,S(b77d5615,c8831ad1,147072d2,598a8c6b,4a71c0fe,967a6cf,70877aea,24d28f53,25d5b7cf,a068a665,deadf83d,5f793605,f5cff2c3,36a8d176,d18c634,9ebf3132)
+,S(e4420c3b,61e435a8,53784728,8426aa27,f23d224f,4ff7a14d,79898369,c08530dc,422b04b4,857984b9,9bebd74e,1588ad96,9b3c67a9,89b119a7,f7cd2c84,ecca8572)
+,S(888bfdbf,c6ab299e,3ba0fadd,a614fb01,236e3c44,98ad07ce,cae08105,630aaaea,86e7253d,58cfe580,628fb94a,a1a8f40b,7ada97c9,d8713453,f06f4773,3770eb3c)
+,S(f74d258b,f7d78b30,ddbde398,a1398164,d850f2d,48616cce,8ef4c436,10ef419c,d13d49af,1e6dadfc,94332213,cbb12d32,5d60eb6,d48cec9d,fcaa7ff2,53029204)
+,S(a8b33e90,98d60483,a7009786,11b92257,65cea0d4,b7ac0ae0,67914110,5cda6df0,58cc238c,c08d957b,1172598e,96ff4762,1182b6c0,652c9ddc,650f3b51,3521c553)
+,S(5af8b154,7477fad9,8e5dbbe3,d4a1a15e,7a4a6cb6,5ae13cb8,9699470a,1a3ef1ff,525ed201,d0c61832,36c8fac1,366e8173,3c0a8c15,b6ef7672,cc84b1a3,7d6f25bf)
+,S(155c454,6d4c5c4a,21d14383,3df8662a,fa71e665,ab7ff0bc,8119f29e,3bec21c,20e99f67,2f641185,cdceaefe,8fd7247f,63842282,edeff6d0,378966bf,50411aae)
+,S(53918586,ee182d66,e7c22aea,5a663770,c8fd7f0c,6738d473,1010660c,7425a56e,c7fea092,3052ec1d,7e2564a1,e70b8924,cdbf727a,7212052f,abc58d9d,1856152e)
+,S(f7964dd9,a0fab716,74804abb,a7740f4d,cc52d7f2,8d5acd4f,67998bba,3bad6414,6a989f64,aba0f60c,e7bdc5c2,aec11de6,d469a122,f1bbfccb,31cac834,89f62c59)
+,S(741c8c8a,f514f2de,7880a909,b327c6ee,ffd72ee2,b5b1658e,72059edb,cd663183,f35d276d,e5de1460,dc53532d,48afe736,e40b6b31,fb6fdb49,1224544,a487b2ae)
+,S(de8c69bf,6cc2a28a,fc6ea9f1,26ef4f22,606e55f1,312177e9,b2ef8835,8b47945a,8de62853,6900d614,780e2fec,b4ff7066,70d84742,3b1c852c,8b85ca4b,40a48a02)
+,S(81e16f39,619bb41c,d8a523b2,d3dd0135,d6a8d5fd,9a8446af,cd058ea3,6f57c537,6786fc73,7cd2ecca,d146de9b,951deec4,375c434d,7dbac32f,2395c265,bbf4b31e)
+,S(459e9589,d079b22e,8c5625b8,a725b30a,e70f7f04,8ab21a20,f0123aae,7a6f988d,a56ede93,5b71a292,c4ad26ac,cc3506cc,915de21a,4557512e,e767e8c4,33f38e08)
+,S(b079d755,4faba7ff,20818806,a70b4ead,f2e5bb51,d1abb758,2284f385,868ebddd,495ddc2d,552f174b,210f6577,3e434fa9,20b6c0c4,574601dc,fcf5b701,fe74dffe)
+,S(75391bbb,5983fb21,41580de1,dd5b10b4,bb30af17,3f05c100,569abd2c,674f288b,57c7a6ba,c9154ab9,eb66032f,2135a52a,b319f534,d1f1c80d,b58a4af7,de958d67)
+,S(71436957,f2848f75,fc461069,e4fc691f,5bda94f7,32fcbe7d,5a89e136,41524db4,1287f852,ef4fadd5,65a2813c,51b93c81,95658a5a,5cef224f,e92511db,df3f0007)
+,S(b9038b33,fa75d097,dcc74c9,e25970ec,94ad076b,7279f785,3b7c98f1,41543f9c,a28c3169,69295ed0,3fbc1bf4,8e39c8d6,af59cef3,d6f66660,73470ab0,dbcf838e)
+,S(b2c63c28,a9fbd900,fbc664e6,36dbe0cb,f259bdb9,d67c34b0,83b8af17,a5f86196,a8f050fc,69c63c4,67308421,89510ca5,b7920723,6f5c12b0,ee7103ee,cd49ebdd)
+,S(cdd2a5be,a32b2195,f4a7edfa,dfb7c785,d06bf346,f38e928a,5c92cc7a,2417f39c,ab66e78,ac421c36,3203ee7,22b380ae,2133864c,83829f04,d2daddd6,b7fa621b)
+,S(825d0864,b079a737,acef03a8,28838ec5,a27d740c,724f9c39,780cfa61,9f3db80f,bf3ee8b7,749e44a6,7f27e427,fe05eba5,c2154fad,bc2e2b43,a877219b,461071d3)
+,S(37b79e3c,bf6bf402,c96930a8,79f4ce3d,d0c36477,f0b0e218,608b890f,bf5e24c7,d97142c7,cec5630b,a090ff4c,9213c2f0,c32a5bb2,f7b0ee29,2045ad03,10f66f1d)
+,S(fba64ad0,678ea75d,409105bf,5b452ebf,89560b0e,fbb079d8,aed22c33,552b6135,e665362d,e4e637a8,a85dd844,1a806ad7,5c628f19,7d6dbe3b,df63c0b2,d1f938c)
+,S(76787b8e,77ed36f,9d84897d,e84c476f,d3bd490d,184327a8,59ea3f97,ecd9cf72,cf79f14,1a3f38c3,cc126011,d1d78dfc,e3ba228b,33d64158,210cd942,3980a9b3)
+,S(26babdd0,ffb3a334,85e6ba1c,5661a551,f16a129e,42f9fe8a,3691a50d,157b31,1b3a4ae2,b1cf1a46,fb666e33,a20370b2,e66a6c71,27edc8ee,e4c4072d,8c2c530d)
+,S(15aedbb7,7a2fa1e9,7a6aa864,7729f28,7ca4d3f2,36046008,c1b031d6,9f76307a,3342a142,bf8b2360,6a574643,9c05f36b,f9408878,5354c788,a6dcfd96,ff073649)
+,S(98ece0a3,9bb7cd4f,df4d5767,c6ef4cc1,c2b072a0,dfde5fb3,de100f57,466fe467,c4e924a8,218c93e7,eb829d0f,839556c6,1e679d29,6a0a6bba,6f4f463e,ab227e28)
+,S(7d867505,fc213eed,4cdffafa,b067bb71,8a48cda2,fb323304,1989b6a8,3ff373a9,5df51ff0,3c212078,197c417e,f4a4014c,96e167f8,8cea0c1b,9199ef75,7c97d47c)
+,S(f24f19d7,43578e1f,be3ece8b,7b00d5e2,bf269a48,9d76d17f,410b73a2,95b3001f,644a43ff,55448b66,7b048bbb,b34f4c79,16d2b547,5148020d,53e53627,623631f)
+,S(93853304,5c22296e,1e911281,ed4bea22,1fd1061d,2039a27b,923dd3bc,800efd59,22988cf6,cd2d15,f799bbf,e4cc905e,2607da21,e9fad162,8c2fe699,8beb7040)
+,S(f090c705,39834f16,253b14ee,8e4d2685,b91ff4ec,9897df0d,af1531c9,46319743,c1171885,1d30271d,a8a08391,f53a02b6,28c59c8c,9af3ad2a,bf158341,280bd522)
+,S(e8fc8ec,ab5bf3b7,4a0234ae,b2a8eafc,df9bb08,a90078e6,7fb6cd3e,fea78c6e,b08165,34ce9bb7,46efcd71,362e0a75,a8397c0b,490e75c2,9b007b28,26ddabe5)
+,S(46258cd1,87cb43e7,3003cef6,94af37e3,c7426dba,c8033aa0,9b0a0d71,9f126785,846141a7,5f060822,764dd82e,2c369821,75576ebf,7082c6d4,601ad237,55ad4fc4)
+,S(e7f38b3b,db3887ef,529d27c3,f433410b,94109bf3,45f9b7a1,e65bee6a,cca3e430,f52440f1,5eaec702,90adec0c,b07e8ac,ab1fafb7,adbc8f81,9fac349,2acd589f)
+,S(2d29e833,1472798d,75fd5b75,1f569da,fa9a0167,f73fc62e,da5b03a5,2f537aec,52d3dd1a,b117b9fa,a17c58cf,c0593603,d9e2f55f,5a230001,d18976e9,792d2be6)
+,S(a3b2ec9c,abf7a7b7,77fb44c9,c7552dd8,f47609a4,6f943c7c,8ac97d1c,3891ffb6,6ce38c70,f091381f,53093385,22a5ad66,4d528061,5b01b417,d559cbbf,3cfc19de)
+,S(afcb3c1e,7582a56c,e6504dd,ab3d1a8e,6cefe762,58543015,a21f65d3,3100f473,6baf1f9d,fbeb8499,8a6afc61,8e193103,67edbd87,57b2c4a3,8e5a76c6,8b171af8)
+,S(88b2f212,dc899567,bf62bbea,9466a8c2,6650f74a,490b86ec,cdd35625,d90e2ac8,73fd757b,def6153f,d7f6d4f5,da1723e2,6ecd6c42,d994a08e,7e458a64,d18c30a5)
+,S(bfdea9f,4ca32916,651c971d,7da6a2a7,395c5945,5c4940d4,93d991be,1dadef3c,82747044,7ef3f684,4200adea,5b8077cc,4166bc65,1f6d4a17,578b64d8,21bc20d8)
+,S(5d45cb81,aa765d69,ca52e386,9491ecf0,e8fdf6a6,3d64e65b,5213647e,e4973ae5,a4a4a32b,51a76d77,773517e7,c103a7dc,fdab36fe,3cafa2bd,b17f82b1,2fd019db)
+,S(f3a503ce,e14e9994,aa34fa53,1c43e5db,6d6fe092,45d2f3ae,87d06753,7ae7109d,2b1714c0,a24d50b4,20722daa,d1951b63,568aa5ba,7325785,ac555e55,f3ec49e8)
+,S(94c3a76d,6f812ed2,454c225e,ab8e6b8a,4261953,37d1d2d9,b666ade3,88cbeeb5,bb89cee6,aa406746,dd4893b9,5bf1818a,3d1351fa,d66e104c,bc8d63a1,efa953e3)
+,S(23dbfe81,5232403,39d5a662,51fda5bd,b9a2d3d1,181dea3c,c0c908c8,f0f4c050,caef3a71,229f10ef,488f8385,c79ed0e4,b5c16899,d40ab679,4e45b84b,4deae6b2)
+,S(3907e3d1,20ef8619,c11dc69d,c57935f5,d2dcbeca,1b4bbb88,e4629ec6,acbbf1d2,438f96b7,d74e2b9d,cc17b0a6,c936844,e6aad1bc,58a20055,ba298446,1415e853)
+,S(c140b19,3eeb04fd,80aa6a37,3407f591,651c944b,33788b71,e6f05e1,672b7d9c,949bfd15,59e24543,9d5fef6b,70763b63,899450ef,430d2e64,1f7077b9,29e44072)
+,S(977cf05b,c96a39c8,1dd2fe26,930f75e4,2563c3b6,b06e28d1,740a547e,f2ea56c,3802e3a,8508164c,36e95e23,46ca468b,7e15878,36a9edc0,e70c0e6b,9aa10d52)
+,S(1069c0d6,3995e0d4,cad51e5a,9e4e57f6,795a7bb3,9ee3c376,1e827b20,d8a034e3,e1aa1487,9c0e4c65,581d89c4,7abb5e48,47963aac,788fe804,1d2c194c,5a7fe33b)
+,S(ff78c680,c3414181,ff3ab10c,74e2a755,42419af5,3527a45b,ba3825b3,c93e3682,eeb70adb,f05390f3,76b2382e,20b2dbed,86c8c574,df2f256e,1fc4a376,24d3615e)
+,S(5ec9eb03,3acd3d6a,9c04c3ff,5838a6a0,2b0cb26b,d5c37d05,9056afd9,86bcddc7,92a287f6,eed0df0,17c0bed1,ed9445c3,e39d92b4,8c3a9c8b,9ae26749,732aff03)
+,S(eaa206ba,792dd34b,7ee67e14,d8dbc7e8,bef0a54d,a7dc7ee9,339d8ec8,471b37d1,5577e65e,be719ca0,7fef2530,c40c1617,55e00d21,1d78e5e2,695107c6,8d1ee92e)
+,S(26d062f5,6034012a,3d76789d,455cefa2,689ef08e,d3d87f54,af952afd,ceb3ed7,5eff1dac,ef6f5877,99c340c5,f0d1f6dd,dbe6faa2,5ace9109,4e7b5836,d1323424)
+,S(800d415a,e50db62a,4f49e449,d11eda8e,1a2413f9,c341bbd1,492f2271,1e602d48,569cad6d,5d19b5d,2299ec5c,fd12d9f3,d5c8cb0e,756036fb,dc5957f5,7c02eb50)
+,S(6c01a352,bc16dc19,973aaca5,f1a21676,e1531fbe,f8586bb,9853c627,9c9a1c90,833dd742,c9596a0f,2767226a,b2548139,a39a17d2,d64d6765,4c073b18,f8cc04e7)
+,S(3accc922,f1b3ff0c,504e7c4d,4738d1ad,f0b914b8,d08ef8e8,a54e431,37742c26,aa9cd483,27d60b34,304dee26,c52b2979,52a2d118,82e10b17,86a09acb,3cb0ad7)
+,S(a0df5c72,828b73f2,a380f75,3f8e6352,f8d978c1,ee6ebedf,2ec70ff1,d0f8ec72,b230adbe,f1e0bd13,1e622689,379e7232,b1327db6,eb0ee306,80d7a89f,a4ac6670)
+,S(9d5f0d94,9776ec98,607a8dbb,d54865c6,d4bbc970,d3ff85a4,49d57b97,33b52c73,ff08efba,f4893add,54b8a056,ff60d345,ad7faf15,7d11acf2,2cea0f2,afc1a8)
+,S(def5d92d,9ea1822e,dea5b293,58a51ec8,228f54b5,a6738917,fb7f2108,6dd3d84e,b6c740d,b94aebc3,138d3ad0,202bff37,9d5bc20a,d7c0307a,479599ee,8b3129)
+,S(fa90b105,cdc8d74e,3f87136c,f4d075f,643fb0f1,ba6eb832,73642e65,84df33de,3e6b28c3,73f58eba,49e9e852,f0f0e244,3a180d92,52624c27,3c079dea,50bba36d)
+,S(8212e821,ff2f7b90,c01c8461,3d4d9df9,ce077cb2,9706a349,575b8cd1,a3d0eb52,d59c05db,2fa3e756,fda56e8f,33540639,d24bb5ed,2c8aeb5b,8f8e43ff,703185f0)
+,S(ee340cc8,1d1f71d7,4b1a641e,101d15e5,24f155b7,2afb4e49,f9cd8b20,ec61220d,915d833f,25355fd7,f1efa796,4a8e8b04,86f8141e,f5811438,f0083382,ae286f37)
+,S(2c535525,dd2e3d83,740b257f,bb7223e2,302b5009,7f8366b5,aa26f65,442afee1,1cd4514e,f945b668,4f38f966,2f3b5402,92d43a79,7f73f947,67272713,b61cf765)
+,S(df7763cf,8b57a288,cf4a9083,a2a5f977,404b9e1d,6e814f2b,aae9ad45,fa67d94d,4f7dc336,31fdb48c,612276bd,d388ee9d,bf05295c,1a92709c,b4fc33ac,b1580ce2)
+,S(3514c240,d6d0f218,11374b92,8cd6d063,8ff99b8f,4d5e4da1,8fd126a0,ecdcee60,2a0d1f4a,1a1baf80,3c98421c,7777ed1a,ac17abb2,720975ce,e530a5c6,4197fca2)
+,S(3de75d9,e58bcb81,94dde551,ab541d54,237a1b58,d935f60a,b54bd3c,6ae40a27,9ada14db,be2db058,c6bad8c4,86f25037,3ec422da,fdd5bddc,455b2b8d,25d97c75)
+,S(a728ce0b,1804355b,c5c144f8,1d5eb1c2,90ad3d52,f502c5dd,ae28a08a,6de0420f,4387cca8,f72b51a0,cfb4893f,a85491fd,42cce3b9,ec3344f7,ac93d001,47ddad3d)
+,S(ec3c9a8a,5b844c0,947b22e0,2503a815,1d8234ab,aa94032e,16c1d874,5551c39b,7b08bcef,45f0fa93,660845ca,44edfae8,c8ac51ce,e836b043,3825e410,8ebd7fa6)
+,S(b0173d56,24945acb,3bab7e6c,617532cf,e619e7cc,e9872e93,26a8ec55,a24761db,78d27b5f,3e9a0761,d0feff12,198dcb11,72a81df3,1320f10d,44591ae3,5f1b381)
+,S(d9eb3bf3,cd43dc8b,977c3890,ed3a4b8f,4e04bd11,f95963a7,970d9600,40cd73f6,98196b5c,c42e808a,3f1db718,98c50048,510b9e4,c9b69c41,e7f5b2fd,63b23044)
+,S(fbda51af,8a40230a,c7602606,21f92b38,29bbf1b0,1c027f10,7ca54c08,65a84e74,64833994,aa453bd5,4c8729e4,e9010fcb,8fd427ba,3bbe7c71,e812513b,fcd6ccf5)
+,S(ae4b9a7,51be1966,f564661,61262faf,472b14c5,f0532cf8,8af872f,ba583f9d,8b2c248b,aa9d7e5a,6f0c6eed,9ad3ab5f,e2bd4078,da4fa281,f4b672e4,9695ee5e)
+,S(58040152,6088026,1668c6a2,e462845c,f29764e0,31edf6dd,a40b6e0c,4ccf6ff5,d2f96ae6,4a83c04d,a072f9a4,e39976d8,a2e5f88f,fed070cd,5fb1a701,db329485)
+,S(4c28d686,57380f81,639abbd9,fafcf47f,cf477e26,1c46a03b,57ca7326,4c7e029e,694b8a9c,4fa75e14,56a67e8,acfac16,3122a941,150da022,59fb024e,ced8a70)
+,S(de205ab3,9e005587,f23b51a7,3d806f81,6984fc77,7179a6b9,465a92c,ff25c9a4,ed84325e,12efc1c2,db42cf1f,eacc12c,48f68e42,9aec9135,5af5c327,c5273d83)
+,S(5ea82868,c2cb0a7,4b658dd5,721e6571,b968f589,6d22a5f1,b3ec6b69,594273f4,88d10eb0,8db264f8,13adecce,636f6c58,e1828539,1e538ad,6e2237d2,384a9499)
+,S(189cf7c8,64497416,420bd98a,3e3db4e7,c3b0dd46,d7b9bc9c,37f2d036,324998ba,bb3409ce,d46dff28,36601b1c,f7dd606d,7422118d,723f7da2,4d25802,1edaa083)
+,S(70a17187,38f50d43,8868026,58100245,3c3c41d7,8ee5e14d,3cf536f9,bc82789f,15c95120,e112537e,41f33870,18f09d1e,101dc445,a9f36296,2b9462d7,bc27c1d6)
+,S(578ac0ff,622adb6e,8c20eed,f3011085,8e4271aa,46833865,cff46b9b,fb3a368,f711a1dd,f5f3172d,2b9b2f7d,9d50818a,6b0ceaf5,1d67e15f,1f01ca5b,bbd7f851)
+,S(dc9fbc03,476aa747,d64738ba,ddce8a5b,5887f177,fa6cdaea,3e3b05e2,8d840071,c0f6752c,8087dd25,f8d94a19,d294e550,8bd26774,cf4e7ab9,515f0a4e,89eee1b4)
+,S(9749acff,a348cd5f,2e84dec0,b3d73151,4bb817dc,4596d78f,e0295215,47b0294d,df667dea,35e54810,daeec20b,e0e7d203,d89856c9,94501167,23de84e0,5781a1c6)
+,S(e39fbdcf,2fd2730d,c3359f21,fa815478,ae8e7a98,d6b132e8,e92d343e,32657d85,bafe9881,70a78596,76a6ae3e,364885a2,62441578,8c31c283,20a06b0b,e5b5e01c)
+,S(6009014e,27f13712,c00bda4,dc913516,e04b692a,ea32b89,e0fab8bf,91402c09,34910894,f6bd1cd2,cb796f58,8ddba661,eb4006a8,6cec32e5,7086099d,42359f6b)
+,S(bf04f247,d02e46d8,2fb9bec4,f76b3eef,b644c92d,43622162,d419488e,87f2f773,d646f4e8,bb3c2e4c,f19ab00,4674e354,302e125b,c1ed684d,32b1cebc,7c2172f6)
+,S(9609f7ec,b122b353,85871efd,915c6d99,3e5468ab,c30e9acf,f5b4dfaa,31e5e3c3,106bc52e,b933f0b8,71578ac7,74e2ad89,ebb4d9f9,eeb95592,5d6b50dd,988f9a27)
+,S(b690cc3a,e1ebe25,a07440fb,5cbdf56f,f5ae581d,4dec7366,8da2ad62,bab9abe,83cd0023,fd3a3ddb,2cda9603,2b6c1657,35e5f9f6,249a535f,b9666a97,e049dbd1)
+,S(72da508c,ed507744,1aa2bc11,4a9098d8,2c947948,395bf38d,6cd00977,91d326d4,165baa93,3433ea2b,e978036,4fec922e,e5d743db,b8117e09,5eafb467,3f668457)
+,S(e0fd116e,540a3009,2954322f,5125a72d,1133201b,985d1017,29b1c9b7,a9851c37,c6bc7276,48aa707e,549e899d,630d3155,a516a06b,777997ac,8509045e,e5b88a92)
+,S(9d4b8bea,85d4e412,ee0d6389,e883f9db,297f01c,d0695c13,abe2b682,94c10af1,5e2280d7,3f7c0832,d9ae62fd,6a884973,5bb66ebb,e68a38d3,8a95258a,97556181)
+,S(eef84395,aa4b6e04,ddc56123,cd5eb31d,69f1255,1c216d25,5057a2d4,388e08ff,45098aa4,34e14364,40d8b26c,73179c48,87797e6d,59963928,b1d6b61,d62d2376)
+,S(66fe5c7d,56e38e48,6134371e,76ef427,b4652daf,6e60cde7,39aa1165,c90d7654,2d72926b,b6edc93b,7e40ad43,3cbb6c4d,96d4c384,966ca582,a108a84d,c11a2fba)
+,S(5135f9cc,1818caec,cc55a304,aa983c98,82f9e1c2,939f27af,dc2c6df2,c08ea2ed,5a526dd2,7dfe1750,4f8baf4e,115ae1b4,2619b5e1,47986954,27ca3621,e03f22d6)
+,S(1a37c089,af7f4a9c,2ffa2bc,c22a3e29,82e3318a,ce1ae29c,3fdf9b62,3e6487ca,d389c033,8522230b,a96b33d2,373672cf,509b0312,35d2ec18,3c955ff0,3d2464a5)
+,S(49f7a5ff,15daaf40,913c68df,c9016f95,ed1edb22,22fb1576,e4a11848,47a248a0,f9b55b01,3d637bc9,e9794246,fa6bbef4,d5ebec82,1a5d7f61,1a18c7a7,b9abd8fd)
+,S(8247845e,5d9ef839,207f0f1e,26eb0470,3b87f835,ac3af130,253aaf88,1e641ed7,577d790c,1a23984e,7f1b1947,4cb42ad7,b4409c8f,23f391de,3e2440a9,e53c5f1e)
+,S(8295984e,cd160241,ace92ef6,10853e8e,57b7823e,25eea4fb,8f118593,d90e0749,635321a6,6798d5f7,39a450e7,67b1c38a,2c5dac96,780c83c1,4c38dbc8,c0ac8353)
+,S(d4c32bf6,d8fcf5ff,be0ba34e,770c68b5,fb5db412,b1341537,7b2e9c80,3dd75461,b3c73602,e23845b3,2c44272b,4eda70b9,a1a71e51,66d13353,74153f66,4485f93d)
+,S(1a08e32d,4a968e6,a44703af,6b526a32,3babe7ca,6882cd84,9fd3f769,6cc897ff,46ed98bd,b77bed4a,25c2e19b,e2b14a8d,3fdc8209,70344b39,9a6b2a8e,afad4141)
+,S(8559be0e,96723f04,4b05965,da8c9777,6b40e1ee,ce49de82,e7cfdc34,354f4af7,63e24b88,854e20d1,2c3f049b,2dd0906a,ba4db6de,aba42dc0,5af03dd4,91333ef6)
+,S(e0e0b223,fc7a478a,849c0ee3,f2ef2a6,edd0f08d,e8ccc8c5,5e28bdc6,5e211e8,ca38832c,3aaffac1,206d38e1,25b8847a,6609a5e,d1288d1a,511d6037,9fca60fc)
+,S(a237be98,2d8ed250,75801eaa,5917582c,265c3424,5679b4e2,34539ce,68e40a19,f4cd227,976a3780,454d5de4,7026d668,dc1bfc32,9003c87c,f48982a5,5a231318)
+,S(28a84882,1eb08d07,f03fe770,5a16f2bc,5edbd0d6,b4367ef2,474f9b60,1205ccf2,9067d3e9,e7d77628,ba0526b1,71d23da9,162551bd,f00fa301,eecb5fc3,f856a17c)
+,S(142fe8d5,42bd6b5d,325b8fdc,3820de5b,cc83e2ee,13d59d16,f4c69adc,98c1d5e8,2973f278,32533b9,559d1421,38d7fa60,1b66d106,1bf9c453,9c8310a1,dc75b150)
+,S(5b3b611c,5d20649d,19bb00a,11b4b928,8f3d5ffb,700fb6b9,9c97b012,98ad87d2,849059c8,cde0e12,cdfa7621,9ed70bb4,192ead87,5a22c58f,8ebcb58a,f2519182)
+,S(248a2249,5d4905a3,f61f74c3,5f35f6f5,2edbdc63,9454cf6b,192c7ce,50beb8af,b5a6f3ff,b707c108,1cd97b24,38867a1d,61eaf73e,9b89b5c3,b1136ac7,bbfd4c83)
+,S(8a474a2a,292b50e9,d4d1fa99,a229023e,31ea2093,2d3a5d2,875384d3,dbff075c,7745285c,7d5341b1,e5c39289,16cf8fd2,45b5f045,d30d5dc8,721d6b65,ef804dd9)
+,S(3fa01255,7fc042ea,67cbe4ea,86637313,826d10d2,48d5bb22,8ca8d113,5015ffec,10b9d325,f59b4b8e,ecbdca5a,58c48e18,162d436c,a3228b25,e3f75f27,26a937b3)
+,S(b77b5c0e,7b94f1a4,dd88f007,1af049b3,6b778d5f,c8a828c0,46ac2195,9fd65648,31246bc0,6722bbea,8c9d5722,26edd609,e2b65d2e,9df6c21a,d54cb157,faaeccc5)
+,S(2635f482,67e82b97,6c2ccad7,89bd4bb4,5671846e,d5d1d8e0,8f2c41ff,8535b44a,7edc804e,956091fb,667f9e4d,47b7353d,d2ce39c,b53234d,afb6d5a7,a72b8def)
+,S(2306b52d,ae0952c9,c6b6f39b,6d1ea36b,ed0012da,18d77238,4a4e0866,361b474d,438250b8,8d7b8f6b,9a63688b,b2cefcf4,bd767472,bcd21221,582b56cf,325486c0)
+,S(caa866b8,dde8284,8f586f9e,ed5a1d1f,aa5604ee,a8c0016e,248d897b,a9f74b4c,2818f140,349f78c4,572834ce,b805a424,e33746a7,d58fb8f2,9954a55f,dc09c341)
+,S(818def5a,a0793d50,5f5e9cc4,29c01ed3,fb5e577b,b25277cb,b74c70fe,88bb1641,da9eee80,f7621031,80e2d54d,796367d1,f48ea2b4,93a1445f,bddb3ee2,ee4f276d)
+,S(2c62cdfa,568d412f,cd764ed0,1bcac5bb,c36e11c3,5a295bf0,8b12df92,447bf736,e8b8e025,58117062,705ef985,9aba6418,ee73eabf,195325a8,f82c051a,3ec31979)
+,S(28ab54d9,9db06e8c,d4a2f7cd,517d049,4e477f1a,b6eb3416,59bce807,e1f04adb,993b5319,a5cb9602,be656276,bf3e7d84,4fb00304,1ecbfb08,72aa29e6,7494541c)
+,S(493e7c16,2254a40c,54b4eca4,223a8241,d6c2abf5,f15ebbb6,3ea4814c,512b6061,56387f7b,588d9d4c,fee36b59,7ae8f21e,5fcf817b,f097ec89,7def80ba,3ceed628)
+,S(672e11be,e7439165,4fe118dd,a2c5d389,8922a68e,222c9bce,902d2062,b9c51d4f,3555134a,2382a9d,b4bcfbca,45e9d62b,db6bbfa,bfce7c5f,c5102dc3,23dc36e1)
+,S(8f8d0f6e,e3b86889,8de86c06,b59f8e5c,27524b2c,2959e701,38b2c3,8eda550a,e7def281,9e27abc5,9940fed6,687bcb3b,f364296c,26bf1fd4,5d417103,49212f34)
+,S(da8c5783,4a11f0a5,797cf4c7,9179f30b,118f2802,1205d495,e8213fb5,78b293e3,6ecfe35c,6f663975,86bb1c3,ab5dc518,7c7a0ce1,b6338d28,a2c01df3,89c35f91)
+,S(4953e0f5,3b1965ff,3efec2d6,fa99ba0c,fbce09b3,83e20ef4,2657faa1,49681955,c210c78d,9d1635b2,3e468324,7980766,3c28fa97,18d0ca39,fc09b541,975541c6)
+,S(5491fdaf,48a0e1e1,be21f7fd,be910bd6,5cd3e0c8,16da38db,6c742042,3775f293,65273688,5d1c5338,a3be9b29,9b51f4f3,9c82de96,318643e,3d34ecd2,fc7ffae7)
+,S(b9c4afa8,42363b9,fb583885,8f17d1b6,b0a8529,43c907f0,af3ec9b5,abc168d1,ebd3106b,1b75ebed,5d013aa1,eca7d8d5,e24d511b,6d4178e,514fe156,4b550d9a)
+,S(918da36c,444847a1,b5f9826d,eab809d5,d6802e73,3abca386,24237683,92d2bd62,6e6237af,d7cc87e6,15e14113,ab38989e,889d5e6e,6166eeca,abf1ddc,8a53e218)
+,S(777d2994,da1f514a,800240e,59b743cc,748eb42f,4572ac93,a2e42e37,1d3392a,6193d7,e9eb3195,2cab96f4,14e1d24f,9d92505a,9d21f864,5e6dd3a3,8a9680c6)
+,S(108e6ea0,9a08c5c5,e27b8b3e,af24ef55,3988c650,34ef954c,4d17f232,5723bf3d,1a8b974b,86db6bb4,7c314ebf,f811937a,b8a0dd76,e824dbe2,88fde1bf,fc13b2eb)
+,S(36d9dadb,65a54d49,1198a486,8deae1fd,3c2dcef4,4a682839,b5dac54a,456bf185,25e84356,d93b5d86,25eec306,565bef19,1edd9bf8,347dcd8d,785024b,2147bbf7)
+,S(3e0ebab1,43ece776,729d8a9e,302726ce,aab89654,23292fe3,ab2e71d3,66531fa7,6e7b2608,556d6236,8948f32b,2fb04b34,8e38eae1,3d9abd5c,691383d9,958d41cd)
+,S(923dc76a,f315f31a,a1de9521,a13ee9ab,ab08ab42,157f483,2babdb5c,18fa3728,7a8f17b6,7439857b,3141bfca,6d89e649,7facf685,6331003e,f6bee07c,ed3ae47)
+,S(f87fff32,2dfeae3,4ce9cb81,51ce2e17,6bee02a9,37baac6d,e85c4ea0,3d6a6618,74e49037,aa726e0a,357ace25,603cdbfe,7c14a4cc,2e1e4e13,c7176121,585a03e0)
+,S(1388065d,dd7f69a0,11dec106,b539f7e9,e00b5aff,7568820,e33f9c1,18881ed,acab1d8f,140661dd,422f72a5,5ab4242c,65d1a932,23fe732c,92b32317,4d13408e)
+,S(e5476b1e,a99b6a08,83731542,7a3751b8,3d685b34,acc5201e,59e9b623,ac4b6941,57d5b2f1,c4dd795a,323c794c,aa8fa754,bc86dd67,3cc8577b,b418b2e9,5f3b4e21)
+,S(f938ff60,f1e8ebea,4c229d89,4c98418e,90c14981,4ed7909c,3dd47cb0,15cd1f15,d7172212,1a0cc646,a0576e29,372bfbd6,37fe2c5,b6ed6821,4da50318,eebb13e1)
+,S(b31bd410,7c4a5108,1795544d,5854f9bd,180b494f,a08878ad,8ad5a3bd,98a30aa3,94261097,6bd58962,5e941aff,a007eab3,d33828f0,e12b31c1,8fb6f5c0,50519e82)
+,S(b3ed87ba,83210d01,1a2df141,b9a6c6d3,33abd692,55da3af7,b4447d03,f4c1cb2f,949dd379,29c757e1,a970273c,b6341e66,b90be71b,347e747a,be0914aa,4dd632b3)
+,S(60e6c240,1ea790d8,4bb95e78,731bca08,89a57c0e,38b87f46,668ee16d,31221e17,f247bf35,c722098f,2a5c800a,571eaf0,36738704,4050d98c,c03bd146,ca9465c2)
+,S(2ae806b0,4cc8d047,e7dd8d37,713cd71,eaf3e16a,f74c3b87,994afaf1,c3750a80,a8d978ac,b29771b5,1a87fafe,605ca0ee,6facf6a2,41aa135a,e38de4eb,b2e2e954)
+,S(9af178a4,bbba2d29,e7a0bb15,51f6f3a9,d2384386,3779f439,58a424c2,29bb5c47,c1031fba,a0238857,a487ac85,72fbb3d1,4052a4ba,adcdf259,78101a21,ae79abd3)
+,S(9dd6a721,e9cb27af,2e7da097,c9e8a250,fd78a531,330ecb2c,3a116d99,6008f523,e6837b7d,647309c9,4712adb1,4bc65787,fc4e975d,f4e82173,57dc9d3f,e7f36080)
+,S(cf5f16be,d7a1a1e5,3b3e3f1d,e44efbb7,fcb717b6,9a28bf0f,e31a1da,a5e91c52,9549ebd5,4d87207b,c63912c9,99920cf4,b0c80a0d,8a69d4b1,4852834a,c4487497)
+,S(c6794890,810954d0,782466a3,c52a0149,de577cfb,3a2001af,d45e905e,dfa64722,4a4fdf51,deb64031,bfca5fbd,5c827829,8621b625,1be69187,fcc2460d,f75ca468)
+,S(a25fffcb,bee9e0ff,1659c1ea,41406aa,b03b4920,fe1a63e4,442d5241,30599713,176b9e06,5a821189,ac3fc28a,fb72a1ba,40fab791,4de987e2,1236f244,bf41486a)
+,S(6079a722,fd5d923b,16acfafc,7248e329,128cab6a,cae9e5ec,dca49774,e0c5bf71,c09972de,99ca5a45,c4f6f1d9,10337efe,23f5292,bd5ecc45,df0f7aeb,d18c4bcc)
+,S(188cb43d,9d4078e7,18fffc42,8b16723e,f64b950f,cab7582c,8139dcb9,2b66b403,a038fa37,ec9ea240,9a2879,9556916d,fcc8c2f3,358ab14c,140f7f1a,23af5404)
+,S(e310fc40,cb575c68,f5792506,65567ec8,c445ca34,68cfd02c,d781b27e,f819bb30,31328a65,5ba312ee,5e901def,66e7b946,e0c18336,a0f1784d,df66b89e,2abe625e)
+,S(dd86485d,1c8245dd,d940bdeb,1f462cc8,f15693df,246c3c8e,52b574bf,77dea4ac,cd6bb7c2,56c9a270,4c690175,ba298a09,8963a8b4,7e743b48,33fc09c6,9966ce2)
+,S(1b7ed20c,f81567b8,6f7dc67c,ab69e197,dba77399,9b36097b,de85d02a,7019aef,f814e92a,d1cb4386,550d89b5,9a4bc378,df428d54,d314d531,be6fc35e,f0e3d1bb)
+,S(a15587b,2d528338,ed146a03,670b3f1d,9b41cd0c,a0645897,a0f719a7,b5ded284,2aefe34b,5aba1a4e,e30d225c,c4023ee7,12fc1522,ad6b452b,fe6ea727,122e925d)
+,S(57bb9f9,c99da691,98cfcf20,9a0940ce,8d19463,9e4d1054,484953e,936a5484,63d0fba8,d90226e8,2c7be5e4,1d77bf0f,700dc57b,d8d3079e,9a6a47c8,331660e4)
+,S(224295b3,7fa1b4a0,d7d7f7a1,2113b21,291f84fb,8fa4b746,bab925d5,93bd262c,d60ac40,b1e4b0da,7563eb74,c222660a,46ed388e,c4517ddc,ea2962b9,38195796)
+,S(2434eae6,a34ec53e,7c031b2,9e74354e,d6101ca0,f228055e,53b39a6b,5453b0e3,2ff5ed61,d57a04bb,138f3956,33a20e60,8b04f775,6476d0ed,6ce7a382,743ce23d)
+,S(448de592,907c1113,bdb04c64,9fb22b05,ef2e6ab6,36d0a03b,700a5871,89885ce9,d7aacffd,6ab35068,debe6dea,25b02930,63af8b10,d4592880,3d0421cc,a879eabc)
+,S(8405cf73,5aef7674,7feb92e7,1aa3ba0,defc0a1c,c1da698f,7c2a3718,6393dd76,5795d006,49cd10a0,4a661c78,3f4a8711,89c9ef2f,ba86853f,c7955258,e6c407f2)
+,S(698974c1,e5c1487d,fe9349aa,371eb86,9318accd,72c66d5,581211cd,6e08efc9,37c2238c,dc8f4bf5,1f76536c,2ab9af61,bcec872a,bb84ce15,90bc1c0f,ef84509c)
+,S(8a37857a,be3cabc6,7197781d,f315f78b,e6548c61,1b846d8d,ce2e5732,643fee05,29882f68,9154cd0,7e455e4d,9e3866d4,5e28e99b,21dde0b7,8b87698b,4cf674ed)
+,S(a871b34f,5cdd39fe,13104c96,87a8a717,25ec8cdf,fa60846,793bce03,2397eaef,84f96417,9de103c0,9f7e2dc6,86c9213c,642312de,8de6cc5d,f3ffd7a2,c387cb28)
+,S(49bcafb8,9f78a7f5,a8857905,e99e74ac,9ec66ec7,aeab8fb4,fd964ce6,8286f44a,e7db8ccb,5641ab74,a791d2ca,7bd193ea,71124a61,2716d94f,4eae407c,ed9eff6f)
+,S(d5c7d92f,2f05c9e5,8f586289,dffe8499,40d9b84b,79feb686,c3f71300,f68b6df6,a68b2a5c,219ea38e,a04b272c,e1cf42bb,6fcb2b2b,fce36043,4f1802af,1d51c08e)
+,S(2ac2fe3c,fea4cd7b,9c74a249,cb0c8ed0,6a825cbe,2826c56c,fe4a8db5,3b286696,7d90a659,b008a51e,ca2f6031,c6ca6078,505bb46c,f00a3834,a67e7804,b60f43f)
+,S(7c09acbc,62827ecf,4f63a85f,5a0eda7a,5b0069ef,b03b51d9,2f61c5aa,10a39234,e07d2539,c29128c5,685f8641,45fdc318,854b56f2,962b001,5a96c688,69624836)
+,S(e886dd56,7e1b42e7,69941ae7,13b2fad3,3bb4ff02,34a27a7f,2c496bbf,6ffbf9f0,d4b2277b,abeef80f,371c097f,df4e5de,5a4666f3,c630b010,81d1172d,c667a877)
+,S(edf65cc8,e83983,c5a178f0,ff60bb1b,8ca8a6e5,85344464,73a199d,59c2dc,a2426713,f0c5309f,84a4710a,2de1cdfb,118a4db,1070d23a,92c76244,89ab2d5e)
+,S(29c12f04,b78a6ebb,9356dbbe,5b152323,435ad7bb,a3d2d036,a746af6e,d26d17f8,8399275,bf6211aa,78ea211f,39ec451a,b3336d27,fa059935,8b7fcece,216eae4a)
+,S(d5db8b8c,280e9914,f0a034ac,3e0f9fcf,169f2046,4a618789,994f8a79,6663c3e2,41163c3a,85a0039,f5e5635a,819941f7,98f27078,aa65ecbb,eb60d577,c263412b)
+,S(990a4fa5,630eb00d,958e57ac,8bb4f7fe,10e1055a,c547d165,7000a17c,d9135f8d,f25ee025,491fa289,446a0364,68c71217,eb252414,f8fcf291,2ecb23d7,4bc9653b)
+,S(d784ecf0,1c7849dc,ec901c3b,3315cf53,4e3049ec,c68d71b7,41637b57,9e9c0935,5de98d22,cc382aed,d8c82a84,1ec6fd46,30672008,8567dde,6b2d64fb,6b4205ce)
+,S(6576cd0,58850cbb,aaf53b67,bdf3c19d,9b4d38e5,19c99338,3204cd35,6ce38193,a329993e,92d1e56e,31c1fbeb,27648fe3,d984960e,30bf3420,658f74c6,5710eaca)
+,S(957788e5,f675c0c6,4649a808,1c4549ff,20ccb177,3d26e4d8,bb94844e,bc35efce,7ea4431c,dc4bee37,d95c3948,615e17cf,1d32906,9bc10a8c,515aa0e,521d9b5b)
+,S(8af7ca80,5053b537,ec501abd,78c13ff0,da5549f3,b045096b,1452c05,e39e4a2e,25e86225,aac042e4,cfb235e6,da40543,6a436206,e9d67fb8,e1b5836a,2d7e8402)
+,S(49bf0393,e16e634e,202ff642,ad79c179,e6eb7456,637b2ba2,623937d0,e215236c,8590613f,401de0d4,1cc0ce1e,e9a13441,41e5f80c,179ac722,d603e697,a431a85d)
+,S(c82e2a25,2572863,527b6858,18c9b6dd,df3653ed,a264b5af,dc5ebd19,d4192063,3b86f800,cd87c1bd,3d70af04,47f9e939,c2717ff7,376f91c7,b2675e3e,39a6de8c)
+,S(9ce43920,2b9a8f7c,3aefc9c3,fe4d227d,42ec1355,158b2041,a3712dfd,d8eedbf3,dbbb5b05,859aedd3,faef15d5,9a939ff9,53a54bb3,dc2ee6e2,6d5a20c9,ff5b52f6)
+,S(e07009e,49de05ca,52d20221,3ecab4b8,baa707ad,96ef24a,168bdb6b,16fe6227,6a35b0bf,e752ba26,81b865b0,ade8d4eb,2583833c,a1523b2e,4178f9ce,6cbc33c9)
+,S(eb4dcdb4,7e09af61,e4694814,79612715,d588615f,f4c23fab,65015bd,821da888,63e38168,584602fa,1e06536a,d4c8115c,86305c,41040083,4a55d153,e9661b8f)
+,S(be5f8681,2bf20113,1d257015,dd29dacf,a2c65907,26078f7b,f864f339,10e49db6,d0f420e4,56174aff,5995a92d,a73fa511,43c4f1b8,c40e9f30,8f04011d,956d9da7)
+,S(3b32dc39,10e75f9d,98fa1318,edd7e8ef,db214a5c,b31d5ed7,4a61f881,355b99a8,1a12de86,19c2e9e5,9fddf756,e752e54b,6e4e0aac,572fbc42,18baf1a2,a3a18bc5)
+,S(95ac5dce,5c06e885,65d2922e,a3f386b7,dde10735,169729d0,a3c3e7a4,86e04db1,1a22cd87,ab1b1821,e3c49e85,616b7b49,680edb77,251969fd,e77b5b27,3ef39838)
+,S(6e4ed0fb,a4b0f13e,335d1b74,a5ed295e,7dad591e,a8dc5cc,d301836d,7ce708eb,9056166a,c61c4e09,ed988e6e,59cd9ab0,16a2ef99,e99c1a54,ac37f152,a34b931)
+,S(8b7c3394,208e0ee1,374925e1,7827d849,ea8d9a79,91d2d859,898eba2c,23a42e10,b6ab9237,96720bcc,910e6440,75ef3ff,2c8bebf6,2f21ad0d,3abeb2,7043d193)
+,S(fda7b47,f6690d73,884965b9,8b6f5dca,dd48ab4d,8f96edcc,8e20584b,b0f871c6,9b402435,a272cc6d,28b487e8,b54b473c,30929222,55e47560,e18b8e6b,ca926c5d)
+,S(f15da0f5,395a5a1a,ef8beb53,4c0e9aa3,6e63018b,cc91a55d,ad6106a3,3dbcb217,28cf69ea,bb3b0151,917571ac,48609723,80be252f,bcf98f6d,db6ebf76,578a8f1c)
+,S(c6e266dd,2c7817e0,c92378e6,38709a97,d9a208b8,7fa832f4,abfd881b,bcaf9253,2af100c1,fa9bb3a3,c8e95e3,5d0bef58,5ffa7adc,93232082,84291ee7,cb769626)
+,S(4bf8aa02,fdd201e,488c21a8,33925687,7f5a727a,4fdab13f,d133d08,b6e28753,58812658,ad9c4d59,a15c6bd7,9e6c622,d8fe5f05,95cbdd88,f39be9d3,cd5fc8b8)
+,S(aa985f28,6dd485a,5589fc39,da77fb95,5cda673,db61e48b,972fc129,7cd0a6d3,abb0f897,2f1163b3,29a5a92d,a1ff02e0,7c277710,10e24a04,e1e5f60d,1e4b75b2)
+,S(8174d101,ec13a1cf,4eb9f88d,88c14121,6c2fa04b,ced197c,8e1732ec,61c41c9d,c6765dc2,31b02e7f,eaf7a662,5a639b00,c6e5d94b,1a791bbb,46f6a758,8fd79aa7)
+,S(f9f64ea9,d6039297,b728fe09,85a9a3a2,92573aac,fdbe6cbb,8702f04f,6df3d876,4146c7c1,406067d0,160950f2,1172e879,188069fb,d87eef9b,1a67d2c9,9a4ca01a)
+,S(3e643a70,5a6885eb,3d34454a,2a5de925,f8067cbc,1ca92951,d8865ecc,a8f1b3b4,2deca704,5525534e,de9d54d1,d777a996,8b5e5882,7162ef11,b0fe08b7,e2fb0355)
+,S(444df411,fcc3ac07,7e95d200,d6f76d03,caae45d2,b87a882e,4c0966f3,376c63c5,b4566598,643d964a,a7cd1a4d,f2decf3d,ec520c93,ac6e32bc,64350aa5,5416cc23)
+,S(12a2f61f,58be35fe,314a7beb,1a6810a4,19cdaa6a,8424d465,bbb7a87a,646946a0,9a7bdf44,94c2cc8f,f1953946,1a69fbca,48410b31,95d79069,8dfd535d,290ba47d)
+,S(bdd72692,462573c7,3d48af94,b687bd22,511b2b7a,93f48793,3d52b2b7,e264cb9f,56e6c4e,b794fab0,bd5ac992,3f7469aa,858e6df7,dc40f4ed,955c0df7,a2123874)
+,S(e1bd5558,77c3f55d,12b4f156,ea4da9ef,c974bd29,d7d043d6,ec7fe56,a4066bdd,8dcd9b99,fbe7436a,2382bea5,6c5a32f7,789cbf1b,1c44433f,f5a95075,c3233170)
+,S(a7c68de4,781c8294,bea46609,f4a1f550,fc064eb8,b071985d,804351d2,60132ad9,a08278b6,3d9efeb5,1062b240,d45989ba,6f6bbf9b,ebfa0766,8428862b,adb42c32)
+,S(4f3a8769,b4c6e369,cbdeb90f,5137d07a,5fa0d66,3d8ca79a,56b3c70d,2a9aa855,f6c051c,5f701e15,348ed9f2,c4707584,b9d6db2c,b62bf93e,35b6486e,ea6ea169)
+,S(deaabc1c,8089ebfd,841cac66,d8a6bb58,36fd047f,cb435a8d,74463dde,f444f232,fb7cc4ba,49c26e7a,a826e654,7c8a6d64,ccd14a49,62a6d4f9,f50c293,c228e8a1)
+,S(c411af61,547b1b38,12551e1f,4ef2b32e,fd7f33ab,7cfce378,8b5b8f93,319c0695,d2bee7d7,3d50f82a,e9266d21,2fcfbb76,294ace4e,f6222ab4,797bbf88,558cb66b)
+,S(d0ff6a94,485bdda8,d0c28494,5b9dddc4,4a35f101,d0a89637,8210bdea,909ec5e7,ab3f60fd,2923a8f2,d02b7e83,d8f953c4,cb1910ff,83a92a65,e2121f22,364f620f)
+,S(a0d05cc,9555ed92,2851baea,35ad6cb1,6f2744,b3fe424,98235aa7,1f08c0f1,843b1105,237158a7,bd7e67c,a20b2705,50afe2ad,318077dc,4714c7c9,d6339948)
+,S(bea08445,eb295fba,5c83ef6,7d909978,7d599642,893fb9d0,568e5920,1e3f5d32,2a81a7ff,b3f7f453,d78bb2bb,41d12ed1,e26594d6,bd4f5cc7,908f322a,6cce10e3)
+,S(e8ebcc4c,431be689,9eb5aea6,f6ab9700,551c3098,c5acece3,e822c7de,e6f0d5f0,ef99a461,760ae4f5,8fbd511f,59a2ae79,6d65db64,eaa0d61e,97d0a3b,31fa902e)
+,S(4948606c,dd73dc44,ecf1db77,c796d8b6,806bab5,85877cd1,d9630bce,966e8fd2,3c67333f,786c8c67,841630aa,639446a8,cb8c13ed,f3db9123,bc64b925,beb95f80)
+,S(4f259b32,40d9efba,4e3e40cc,a66cd494,fb5a19a6,5b5c8a16,5c18792e,9ea778c2,fdd88087,78c26999,c4a00605,49f4ea2c,b1590f7f,4748cefb,1b68eaae,4d17446d)
+,S(f303a493,e14d7f52,f276e2b4,3e118eeb,1e7e918d,e7aa7f33,7e350fa4,7adfcc29,c49fa46d,befe53f,5f5bc49d,aa6ad265,453f7977,c5fe4163,cfa1bd4b,69141b57)
+,S(e00c4b17,f4c0800e,c1b11859,c40a560d,58b9fdfc,29df5a41,ea4b2f53,c1df595d,62441a66,c3ec4d29,d18d0d95,7b4ccd18,a72a1003,d34832fb,8c81fb75,9763b99d)
+,S(484b8486,1af6af52,a47603bd,2b754be7,ca16bef2,21581171,4cfb2301,db72ce70,36f84ff5,a0ac79a3,fe696865,2a0a6759,cf72e5c5,8c76359,d477e72c,4d32fbc7)
+,S(88be58ea,d8b51f44,a1be6a8a,7cbc149b,ca07fece,11a7adab,210467b8,4cd93f14,94c10caf,7037fbc1,71cd6cd6,a0697b19,8ebbebf4,9f00c67d,4d46ebca,92687fdc)
+,S(abf6ceaf,9fddd7ef,44a75e11,b10119b7,7372a3d4,7c163b77,384de944,47da781b,5cadb30c,6320c67a,e9dfe2f3,b9bb4ef5,41718392,81c4a59a,7960eccc,6795d290)
+,S(e8c26522,9ef665b2,67fcf10a,17c6c3cd,4e221e0d,95663deb,74f8384e,b89d173a,9a69fbad,f9b050ef,d231965b,30d91646,bec7ba26,9fcd0934,35ae11f,ca2aeeb3)
+,S(66652bd8,bf72ecb9,5e670a24,e8683155,e031f3ea,91fff58d,f60fa4ff,d9c6c23e,4844ec08,3f182b73,22c2fbb6,6f6630a6,5fa6901,52dcfb3b,4b65a3a9,30be994e)
+,S(207880c2,d8421040,dc8202c4,45bf6d58,75cac841,532aaf0b,adf252dd,4c2c0964,2b1819d7,3eb24de1,ae4ef316,7c92a7b1,a562d93,80fdc54,e916d1f0,c1860cfd)
+,S(46b9bde4,53d0692e,ec933485,ed0dff68,7e8f262c,7d9270cc,763fd959,2013f581,58af9be6,3ae599c0,f499b0d6,3085b7d5,394cc786,9f2fe225,6ecabd2c,a14f9bf7)
+,S(5d9b2574,dbebe5d0,9756e2f,29af3aa,a2fa2555,d629a78b,82b1d679,75ea3e11,ed9f40ac,aa6ac68f,cee3dd50,7629758f,f3a64190,1658f0f0,2b87b645,ee59263)
+,S(ecb5ad82,8b986425,9a76a649,1774338b,dc598fd7,77cfec52,d086c172,6e590e4f,2b78936,73c6d87e,a954b5bf,52f8212f,65d33ea7,ccc4b4e3,1d98df2,c9887886)
+,S(b32b64c1,5e711b8a,1d174725,de55c,ddd62e99,fc90e96e,8f3ca532,3924ea67,af5d61d3,6dceadf2,34a7a94d,e7e4be1a,4d81b84d,e0fe16a5,403b0c24,a6ac2083)
+,S(5137f71b,71582334,a6d57aa1,5cf6ab3c,8b7f6842,a800b4ab,1c308fc5,820cd364,f7ea5fec,c9b17dab,c6a248d,49757711,e4a3b38,95658381,efa652a4,4df1eab4)
+,S(b9bb0e1a,390b5889,3e113a89,801c3f5c,25f94e65,63161539,e7c56297,ce9ea866,d8db3c90,3c3d35fb,ae4e14ec,e81e4e31,247f60a8,2539880e,6b66951f,8324a11)
+,S(3f091967,6da40ec2,4691c21,1c42f47b,88cc1192,ec1827d3,17beb468,924fe9af,f1b44826,3e882c1f,18ae6a81,238d0724,ba4c04bd,d3fcd395,8775df5c,16bb8de9)
+,S(b5fa25f1,dad4600e,8d55e7af,c70a1b2c,3767da47,d625ced8,d55ac88,d893b4fe,7575f661,f2ba296c,7ed3a190,8a49d099,83e49503,ba17a70e,1d6939b2,8ad22347)
+,S(a0371ce2,dc6a025b,78db797e,90373069,e4ca06ea,6b1cc018,3d4c6f7d,680d17b0,92b5a8a8,9a5005ce,e851c521,4599b774,24f0ff74,5c4af6bc,6937c432,e859919d)
+,S(5aae6e90,a49107,78863967,d7d42020,cd0a9828,da25ac8c,7b19942a,1ee2f210,ed9cc20,82a54f3f,fd7218f7,b79ec399,7e82fdc4,cd783957,5760e4f7,b7ee8fd7)
+,S(54e7daec,f4a9b6f4,b100f964,850deb65,64efddb2,e6ce7b05,3fed2a28,1a0841a0,d9ada32a,54773a81,d5a857ad,8b34d96,70d46785,70943dae,cc83deca,97c9c63d)
+,S(e9b29910,d8bcef46,b48d8be0,c7649b84,383ed752,391ecd7a,bdb454c8,8fbf44e8,eb268094,f669e91f,a5173965,50e4c40b,d7a26792,9a8df3de,b84c703c,261d6b69)
+,S(43f95222,f254a513,1977c589,577d1d9d,3f537a1c,9fe14ef6,384e1779,da546a97,d7d3c653,43345c47,f245b305,b662a2df,eef80b3,97b3f5e1,4b0eceb5,71cb18cc)
+,S(9fb45fd5,3999fb92,830bc090,216ae485,6723385c,7224b1d,cc91294b,a6c3b103,5b47081b,dbfd82d3,90d7bf7f,39a494bb,6731b506,b827213a,277f7ac9,febdf451)
+,S(dd92282b,835529cd,3295919b,2eb466f5,9ca840e,20ad87f2,3cbc824b,b71dcce9,ec45f6e7,bc59d668,b1ef4a29,d1e23bcd,f3796268,3b58fb7a,d58a9e1c,5f726371)
+,S(7482f012,9fbdd7,bf99def4,f3de23c5,fe29036f,c1ad5c38,686c05da,dc16348d,a43c4a0d,5497f6f0,bf2b2a20,b65bad11,73fc0dba,c24e65f8,db1663a6,b840abd1)
+,S(fa4cfd95,97fd6278,1dd2f587,a5b03195,537fca30,f7a9a377,a69a6869,70ebd9a5,4568b6c9,9ddbf778,bd31d269,be18a8fd,e2a35031,a30505c,1b8ebe1d,c7ae823a)
+,S(51e0d3da,e7763e8e,81905e1b,4f1ffebe,2f1078d3,27944c53,d9b7d110,3fa60b9e,118da0c4,ab572fac,cf9f20b9,2108ed0,1da673a5,2395f3f7,bfa2ff2a,36da6740)
+,S(7d8e567c,c0552335,38c3b857,289e96f4,502fc674,f40ebf86,c482a668,dbc9530,76c3fc46,c6446a,4b9fe552,ba8b2614,7484581c,585c8ad7,600c2ea6,8eb37571)
+,S(d924c6d3,b400196f,dd1f216f,dfa18c79,1c316d67,9ef4c0ed,8d12b94a,cd1dfb1f,ec33cee,881c04b8,b11eb3f2,88dd9b92,90b9d119,26c692e5,9d82aa80,4febcea8)
+,S(8dcb330b,6f629c8,d18d28b9,7a99d82b,3965cb1a,bf953b8f,33074457,5e93c0db,3d8a2d19,8323902d,1b129b57,313f81a8,b58b7340,f6f7c97a,b6d74f37,a46857a3)
+,S(dd1c4a3b,94b06378,8cf86797,ddaeb671,57910f1d,35a32e80,d3f749f6,bea5d2b5,efbec0c7,5a69583d,643e5be9,ab78cb78,3d2afebc,73d7c64c,869bede,b3230777)
+,S(2b03de34,1dfad7f7,395f6ec4,84d292c1,ec0275f2,bc762dab,7658a885,37f5e772,3235e8fb,3818582c,55bd48bb,49f78e5e,803d7d1,ae49bbdf,97166a76,c3c0d0e3)
+,S(3a795b0f,ba145bc9,7e7a80ef,a6b77132,677f06bd,4c3e7f39,47978c83,1428dde2,f4125b9d,df038a26,37cbc9e1,eed40aec,81af644e,a3f1352b,526df579,44914691)
+,S(ecf813b,a133d6cb,9c46c081,b0a851db,121f5c21,788d1e59,ef8c0588,684fcbbf,69e0daf2,a7b7b473,7f2becd0,789529c2,597e3915,ebe12093,ecd7738,13e53560)
+,S(637c4982,c14163e4,1037191d,d4e09d3f,74383245,5368cc33,57669186,d6217d5a,da5a2ab8,fd83d2e3,25baaa5c,a378318,f6fb3747,5ac64b77,a74da573,deecb410)
+,S(19fe73a2,d8875b57,dcff5fac,20530da0,54255658,1251f7c6,b198b3e3,71b90e87,3b03ac18,2ccc2518,c367a77a,1fe5e8b9,a3264681,28fc1ad3,5a39f7a0,d8151ca0)
+,S(16ea62a,d4cdc00,9d151b3,b6680b0,c68b4cbd,f144c234,71d55b7f,3bb7ebb2,8cac4a1c,53672e59,338612a8,995980c1,35f02060,2e3b9f6a,8fffce9d,e53fa629)
+,S(6b9d68b5,454c6d21,678e5413,279f9a28,e1eed485,fbf512e8,49f35394,22a40970,b63f5044,98ebe37d,af9e6969,da888eb7,907f8565,4b05d472,fa4b1b27,ae365482)
+,S(1fa20c8c,8f0812c,2e7dc948,afb7ec92,32c3c27d,23165d05,868dd127,b5ed3e6,c5257f4d,82133642,7df68606,2c229fea,6cd16857,280a60cf,ed84deb6,29838076)
+,S(73a83c92,7daeb4de,1cf1df6b,31d8f536,af15bb38,be506263,e8e8a6a1,bf6acc86,a08acbe4,cd6c30b,82b4e24d,e8c9b891,26a21dab,e4df40ab,2fb7ad6a,82eb8adc)
+,S(3a995664,924e2dee,ca278cf9,3ce265e2,85ba90ce,fd2a55a4,8e1761ee,7588bdbe,f3221adc,99eb33d3,52465d93,91caf18e,d011a1bd,3b7cf39,dd48d45c,44cbbb0e)
+,S(7c65ee19,b032f5cc,1d45cd9b,9c160e86,5ca516fa,b4f88596,5e07f269,3d429c26,47c7faf9,e3df277,d31076ae,4be2224d,8cc54a5e,3743e287,ff9572a4,23704c5)
+,S(c010694c,6750dbbd,bd953118,dccb8d03,2f05e6d9,65db8fb0,3dc00b22,e4d397dc,3b4914c6,dd6c5441,59dfde10,a196f132,5a5e6101,52d41be2,39583b80,6c8e730c)
+,S(e255848e,d28d8b6d,6f95a12b,92136131,a33dcb2c,a723fae7,5e317cf6,62519d57,62f7d5aa,1757dad7,98207dcd,18183b24,377c9ac0,1e106fe4,d36d9264,3fcfb7b6)
+,S(f31418e5,73232992,3a878dfb,f1de30d1,a9669da7,76effc45,bd1a56d0,2c236ed9,e62ab884,dce0d946,55e34c8a,630b5aef,16a1eff6,1f889552,af7234b8,ae56b84c)
+,S(9adb945,b876313b,ac9c290d,47c1e6aa,1f3f3c9a,e8c67770,61512c2b,bd703181,b21fc142,b4632616,4820b82b,edddf2b2,51531d0e,df0f0f86,50f74d1e,9f0908fd)
+,S(c4682b2b,9d4a63a1,855132e9,b35b390b,ca04b846,b83bf36,1726c3c5,808da322,f25a906a,7100ba32,1b659762,23e36f04,14e9075a,835ce5a2,6eeb5d03,d35f6972)
+,S(ebb0fd6d,60f49c47,8167c405,597c765e,559159f3,ae04003d,a99a1066,ea80d63a,eb37d160,667ac862,1da2ffcf,28b431c8,c4202f67,706f4350,afdc868e,6aa0b0f7)
+,S(78f12d20,70d8bcb4,267cbb,bff637f1,65ffb098,95f5734e,3551bcbc,9a5597a,42976ab3,36621756,1bb574d2,c87d99cb,7419a3e3,39973740,7de17090,2bbb78f8)
+,S(3dffc4a,f6214b63,9839fbc2,b949621a,35ae41bb,e7679eee,5798afbe,85919f69,58174b6b,1b4021ae,22dd15a4,29d97502,a13480fe,902860e9,36fead8,57f2c456)
+,S(410c9393,a4ed42ca,2115198f,4db76eb8,bd16bf0d,324528bf,55d5d745,b55a15cc,404ff4b1,df71b89b,c14c2cf9,bca25176,83c2981a,731fc3d7,59faa0a,5ed58306)
+,S(6b4d5156,87d6b079,3df36632,6fe6977c,b93e6569,66797196,6c16c495,be4e3649,647a4894,bbac207f,5d2a0315,2db1760c,1a25560a,95511c81,5d6c11a5,e969f4e3)
+,S(58ffad7a,e87d5986,f0bccfd8,5005d9c1,6f0d8724,6be4dfd9,4a771c5b,a5f34247,ad8b7ad8,f9ab15fa,f50d6f93,ec8629c3,b33fba6b,ee36ace5,e505cf00,f0069817)
+,S(e6d3e41d,1835fade,af27738,23e883b4,adb95669,72892c72,b310eacf,a6a757fd,a136c88c,b580ece7,cef03e42,5dbdb8ef,d6395cab,b427ae61,45a0ef0,21359c15)
+,S(fc47c62b,43aaa030,ac104479,21bc1026,3b561b42,a2d32a5,573ae947,d953b35,5d318d1d,65fc7806,732b5810,40a1f511,62723626,b393b29,50230600,246224f0)
+,S(ceae2867,cbcb37bb,8e78da9,3553866,d0a1b8a2,933cb1ca,36bacb7c,6fdb251b,48bf2c7e,c163aa95,79417b37,343727b7,956cc629,3a188c16,d4c2d1dd,abb3dfd)
+,S(abb12378,c84735b5,c23408d8,2516d887,9195fb74,c8972d78,daa8243e,1befeab0,5a0bf64b,da5a465,d9d0be91,3c8a56d9,ce901c36,67041a02,abb591b3,3f66698e)
+,S(d7781e39,8330c7c9,2185302b,e116316,1a576ce9,43a4824f,274ea700,3159eeaf,6341a432,4e07c5c7,3ee7398d,d1be3d7d,261aed99,96f6f310,fbb464af,d06651a)
+,S(a6918dcd,46ec2045,72d71646,d2a21df1,6f3ad133,dfd41a6d,be5b7684,7e4c760c,c0e51aba,378d498d,9a70e4b5,3521397c,1d6c7cfb,2f6634e5,1f056e7d,932fa9c)
+,S(413a4ee4,fbb5de60,392b340a,65fd9706,7785e2e0,248d2770,6ef044ca,83d1a204,a0362506,c18a8f34,3bebc668,d1b08fd1,6595a674,51db27c3,43af172f,8a3dd197)
+,S(e1a7bc24,de8b0920,f6c4aa08,2fbd1126,87fd8766,237311a8,9681581c,5e04001c,3e3ba9fd,d0a2873d,149aeea2,61a55c65,3a3d90b1,efa8e49b,29bab100,1a6bed16)
+,S(ff9292a0,a147ccc4,b5ae077f,8a337e05,ab1dde9b,1795942d,8a9a0fc3,dd333a75,e50f027c,5f7a3463,7654b412,25ad5dfe,b555ea2b,8305c7a4,3b6f5b78,7a23a166)
+,S(eae56623,437c9dd3,9dc7a36b,45c2d3,afe849c6,1980140d,900039d4,4ccb9c0c,f1b8c9e9,92847436,dcab5a9b,22fe7e78,55e62e40,372d77be,39f68974,dd32e043)
+,S(7dd20cbe,3467a3df,e1eda0f3,48c39e5,7f9c6004,bcc89227,3d002cb5,54bd5282,ec4d2f23,f035d2d5,4cf4c3f8,31772a46,ee922582,8ddfd4c6,4eb6a689,7c1485d0)
+,S(359811cc,5acf1291,547b8870,33bda3c3,e4e245eb,db0dbfc7,3a02da3f,12a877eb,ed2f5087,8b97a3de,6ff916f,511c3a27,7702d1be,2b683a59,bb6acd98,e908a792)
+,S(fb33e89c,f2bcca4e,4ead57ea,1a24d1b,5a6c76ca,bc605a2,c031102e,49a71c24,c75e02f5,ca602705,7ab5b958,42a9272f,d7fca940,c26e980e,192861d,2f1c9f45)
+,S(a1cd33e,5eed74a0,1534f836,b05a5129,b7b2970e,f293b606,9d1ebb56,e5f687aa,f90d1ab9,ccfc345,3b2b60cc,1e4380e9,bdefc37a,896a1abc,c9978d08,1ec4a6b0)
+,S(461696b9,3643b7a,bfb383cf,ced8ac92,5d9f169e,1db30999,b8553504,c4213614,674f5c77,5f300fa0,c8f40a85,9aebffd3,ee91c4ce,695998d6,de0d59a,3033bc72)
+,S(6c6aaa22,1b589f6b,ccc885ae,93f7e8aa,1fd5cdf2,27471727,f390d5bd,e14ab025,a77c5e03,40e1b90d,1ad64483,fb50fa76,aeb84417,88ca415c,9f8d2cbb,aa077538)
+,S(c918d391,927f3310,d032c7ee,6e729e6d,792eff1a,72acc268,3874fcd7,4e61c38b,58fd746c,346048f8,eda1bed0,e5b6cb58,fce24a72,6e27f965,74243c80,780dfb5b)
+,S(48679e16,1ca0a3f5,e4ac2654,213c494d,9240c3f0,33fbe2c2,142ec589,6dea5918,556f93fe,300cafe3,e93a2966,767840e3,b2a19fe7,9cf204a9,a30d1f1e,3e1d1a41)
+,S(c68c05a9,e46b6440,a72d6eed,eaac085a,5e945659,ac46a584,69968a30,c6e7b858,b8b4b5dc,35d4ff80,be3d64a1,d036a117,c768746a,4d2bf2b6,1b126460,15de450d)
+,S(d133ef10,6358489f,8f976dc4,b6c54699,21e3dfe3,6f326dc9,f0538757,9d444e6a,2c66abc4,db690d2c,272b0f57,afd66a6e,327ec3eb,e32b45be,cbf3c502,baf968cb)
+,S(53544f59,8d759dea,b10766dc,48a7e2da,61ca0a60,a201d193,92dad05b,3df976ae,449a205e,61cb7aef,204e3f0,3a199ad7,993d711,537e17e8,79a42bfe,2869cd47)
+,S(3108a074,fda5133,39e26385,14b6b7c0,9254c65d,ee374a62,2fe34acb,83b8b331,42edc90d,54263fea,8b1a473d,ac2f2244,d6fc05d1,f59e115b,5d930132,268b6243)
+,S(1666c40d,52c1c04,d9e95099,aeb55861,2ee58ac0,6b22f962,154cd8ca,7cb4b23c,5065bb41,ae046638,aab55923,e0752954,abafc247,d201e84f,b6c444b1,93a82fb9)
+,S(c96d07eb,d3eee6a8,f001290d,f76b2d82,ed80fa90,bbd5ead5,3a572457,ee47722e,d3d69c04,447fb7e9,a3416af1,798b749d,13ba06e4,78a432c8,d00dc2cc,7e20baf3)
+,S(a9ffc39,b11b5b05,78769a9e,8ce7542c,647fa7bd,7b2c3479,fce84d91,1d81b49d,bec21248,82e928f7,e98894dc,25840712,80a64449,38e53747,375d2122,68bcbee7)
+,S(52ca128c,cd4c9380,8e55d3f5,29320fd3,e825787f,1a600f27,37fc5fbb,f7af0632,846e8a80,95a98cb7,b4ebab01,4d9dbfb9,37ffa493,83676ec3,70f42cde,3135f7c4)
+,S(ff92aac1,77fd9927,7b8abc41,e49f7c94,698525,2329b9ae,8e0fa34e,a9407c20,af0d8cdd,5aaf5273,ebbbf2a9,b7230373,dafd9a93,42a47331,a3379f45,8ffdcfb5)
+,S(a692a73e,d3c10a3c,38163c97,314d02fa,5fb653b1,d729ff09,a541d01b,27991e0c,722f55a,3e5bd3e8,d863d00,6b82415a,aa05c949,9a537809,cff9be69,e468b905)
+,S(d9e59c3f,7a629a93,e32fc4cd,2c98d480,6b813ba6,315ce4e2,e2fc7fed,4120aefd,24ce2594,23073119,4f5bf658,909a47fd,3234be39,13aa8d30,eb08e14f,af0214bb)
+,S(74e5270f,7771b109,64991ef7,9abcf05b,4dde8d5a,605ab587,14b8e534,4a0f6ff,2ad861a3,a4a83f09,687a285f,1356b1e3,71ced066,69154887,14bb0461,b3b1670f)
+,S(b9169230,1c43f7e7,61a85615,7957c3a2,744668a4,8587ff58,7a201f59,31d4420c,bd36065b,c1268280,4cd818e0,c6515a5b,659ea423,f5b23e5b,ebe1f74e,5819536f)
+,S(37faf253,864568da,972d7211,505b7fb2,cd01fdc9,5953bcd8,79239d90,364d51ee,b69ae2ce,749db3e7,e6aea736,a3bc961,d8c12523,6f7be823,65749ead,3bc15f85)
+,S(e194114c,4a1c138b,34882477,f0dcd065,1c379f98,c198614b,43b087bb,a20cf8d2,7a3afb4b,b90ae22e,3b182cf0,6514a998,889f2ad3,d71d4d67,89e3758a,e898a93b)
+,S(2ce2db01,d3fb451,7388e4b3,c81588d1,1c8b13ef,917333c,ca054379,fa17ddaa,9232da9d,af0e76a9,85e1529a,ed1a5568,74285cb3,8010c922,e2c30d77,367bbbc0)
+,S(c292ec48,4bdb7045,3dce2e82,1fea7688,bd66c6e,59635f49,98618f9f,3d6f051f,210a74f0,6b81e69c,4d0af49b,fd153247,12b77736,126f4887,2b119ec8,97b57d6d)
+,S(15bcc9c0,97618aef,697b423c,cd83ad3e,933db83,d77b42ad,3e132036,a5acfeee,e9fc7ef1,1bb996fd,bfb3c490,14912ca1,a1bb98a9,e9611c,1a83a806,b88a7a33)
+,S(46119caf,50f13bd7,97be45fe,55f2d298,848639c6,99d5b113,fd24cb24,6e1e7785,6a203f91,f4c56eb9,7762cf8f,9ef932b4,ba301501,5aeb1215,b1327a93,842ea3b)
+,S(f3a17794,3e4df182,a9549a3d,2da1f9fd,cf141094,5e6b3a64,9d9df885,b6f9ecf4,b34eb7cc,5e82ad39,fc2b6619,859f8328,444a1dff,c82ee115,c80cec10,6ecf7e8f)
+,S(cef90a74,84a7f468,db9cbd45,f5b9a0c5,fa98bdfa,50297d67,536075c6,b7913fe4,d090eead,2a43fbc2,86702946,52507875,fb79a555,e5c55737,30fa40a2,6a301815)
+,S(21d8a214,987aa938,ec4b88b2,4bfa5661,26c528b6,b9060b06,833c6ed2,a35702ce,c354340d,5b65a23b,c628167c,8a2830,f736dfe9,a501fc8e,94b66f26,d84579e4)
+,S(6b18ff27,9049be4a,62a04f6c,f82dbd24,e19196fa,46e0761d,5d139518,3a1ca53e,ef806f0c,52c01367,8f81e9b2,6698fa32,6343f0d7,2522f8d8,6cacfdb2,c5ffa3b7)
+,S(7d8ef4f2,452cc04,d5332afb,ea3e673c,bab07c36,c081a0ee,850ae31d,cb466e6f,32461667,55a2ceef,273367d0,df10f6c9,d224da47,f19117bc,137a6244,2cfa0c0d)
+,S(c7de1821,55d15649,f5bb6327,65ac74a2,3413560,b1d31afd,6994b488,20d12cab,d9965856,c5fb2c0f,c93b8659,5c3240d8,7fbe0136,11d7e844,48252ce7,96eaa23a)
+,S(4cecb33a,915e2c3b,189eb6ee,45fa4eb3,eddeff09,729945c6,f893bd,4381b294,cf17f112,b5e61cb8,44625035,7b700cd7,3534d6e1,3310b6ff,d1bbbd8e,1ea3aeb1)
+,S(826cf464,bfce606b,b4c3ab5d,4cf00fe4,1c9bc72b,285c8c10,204aa658,66255749,6ba3b431,527d285b,5156fabf,b150aa2f,6d7ca564,b18011cb,b878e235,7b6849c4)
+,S(c812dac6,f497d245,5192ba92,2d6fc10d,de51d608,d82e828e,b2187e7,648f8f62,d02e8c7,73630680,8126ee1a,efaf53fc,2be94dd8,7773e8f6,1ba6b4ab,b08b317e)
+,S(5269550e,bd967f47,e45eaa8b,c9f14ebb,aa45926b,6e38cd1e,3c6d5d3f,e0ff8851,a1597d20,26e3eced,443422ff,cd1b3fd1,b45963d0,3086a95a,38b8661f,99a7455b)
+,S(7fcfcb29,80e652cf,bc42721f,cdc40ba8,c7c2ae6d,54a51e9b,af1afee7,e84d7676,abf72d90,4a408e34,ec6bcbaa,ac8f19d6,a4d044f5,66a9cce9,f95debf8,882cfcdd)
+,S(85f01aa0,4597e104,848e18a2,132a6a07,3d5f25eb,8baa857c,79dc4b6,64a9f451,f7463ceb,8a058187,7bbb71ab,35bcf456,5398cec1,cb4e0132,4b4ec47,e5f081af)
+,S(95b4a1a,7dcd860f,ac3fee1d,10febeec,dc1a5fbc,224035fd,a01f8dff,92885628,2a0cdf9c,5bd94467,efa9dfa6,94c6ee3e,1f80bced,23738d97,f70406ec,bef7f772)
+,S(4f624a6,24dddd0b,b254b38c,e37753d8,8cd95cac,ec4709f0,49b90ecd,7f6c51c5,874a9a83,2efecd9,2a20dcd,8ccfd454,668de4eb,1b976bd0,70ce584b,c77a4fa5)
+,S(39e06912,e18b537b,ce440f58,545e9c6e,a2914d85,698d4043,437dd66d,7506b48d,eff20e0a,16e93096,abc80153,c128aa12,f06c6d,4695bef1,8db7a167,6f352e0)
+,S(52edc132,66d67831,74ff4f59,cadb979,4c1d41b6,5efb9310,7a717b46,78f1ace9,e569e202,c6781e3f,e32c0bf4,9684d7d3,cb07cf55,8f46927c,3af6bbc1,c4d402d1)
+,S(e3764b48,964b8107,3e287f07,c915fc8d,e4e9458d,6f2a8d3a,1dfa43f3,4328465f,bde2a64b,fb13e0ba,351b460f,6d0d7574,5b7261aa,53a79b6c,3ad5c8f3,4cfdb023)
+,S(80efe507,7c77698e,3ec38768,ef81732b,e1c81aad,9c42cebe,75627eff,bcf513e6,690c671b,c54391e9,695e6059,953d3d9e,a9df2e17,5aed4bc3,483f104a,388b709)
+,S(484ac7d5,ebcc497,a2f2bcac,87cd23ef,19b0bf7e,93f8e728,5173f70f,c908b641,1d9570e6,f3b17236,9f2b8551,653f3271,5bc8c995,14c2aeb6,1b44ea5e,90ef371e)
+,S(9c989e3f,bf1fbdd8,4dfca53e,4415cdfa,adf26c26,3801ff65,36b8fb5f,77e3d124,a34ae61f,5755163b,964b3b80,28fee3ac,2993c442,d7f16dd4,c79aab0c,88212a38)
+,S(8b8fb0f,601afe7f,6456570f,19e37f80,32846dd2,97b0d8e0,9308c57d,75a5066b,7858afe,ffc4e6c9,b2e32f10,fd67a1,d6166c72,26f03b3c,240b29e0,e848c9e7)
+,S(e37d0e74,ee1d79a,981baa79,e0a5d807,bce0953a,211c00ef,451d9d60,7ee78177,d28a1285,2ad25f4,df1b5625,bfe59875,a07d0593,aab4ee6f,4bd23ebf,b09f8f9c)
+,S(80c8577e,9a003683,ad658e75,47657b1f,281052d5,54cd0e19,4b2a9e70,1325c147,b3fd0cd,7ca3a2ea,ec7ba8a0,d7297347,fe2baf99,bcfbbfe4,32a6346f,564d945c)
+,S(e7045d6d,34121e5,536f7902,67ae01a9,50f6ba8d,2d05349a,ddeb3833,3ea8c6a1,7306a8db,326994df,e15571d9,c2a5dd24,60b37c2f,e97559e4,e7d88ab8,8a181fba)
+,S(55d2da4b,850a47fb,6b3af0b1,3c03889a,d87554f7,cb346980,4f2978c8,652e0d71,6ac0f982,c861d0f6,cd20b7b4,f22eee5d,189a56d,5cc46780,72361e79,dfe16e7c)
+,S(ce562e09,55a22f7f,c83a5ff2,11500c03,a1e86d1c,404019f5,5bd1cdb0,b1a38d2f,91de004d,b4aac47b,c6b0a165,edc5f82e,47407032,6f1ced31,4bd6d96b,521bb865)
+,S(74e00e1f,596af05,7f91bd64,53107f1d,cd0eb8,6b93b6fe,cc7592e3,7854773b,11ca88a3,38e52a53,eb311867,b10a146d,6fa9f015,11791374,e13fb749,d8e1d217)
+,S(ae8f0b6b,c194f6c9,1d83e400,ac92ed97,68214d39,95868530,a2e99f9e,2104eb48,e973fc42,dc0a930,36127de9,eb57cbf8,d4aa8f73,14646362,c855ceec,d7ce4cf2)
+,S(40a8c06c,8df83675,e108e0c0,565f33d3,7854e722,6f76b674,1582fdcd,ef891ae7,16ba7850,b5116afd,3d29e0b0,40faabed,b8ff9c09,83af624e,a100555d,887bf7ed)
+,S(61ea9e54,5c57f6fa,a2ab410f,861f1fff,926795b0,4d240e48,7f6df1bc,6df83b33,c69ec12a,e0b217c3,72e1791f,7d4529f2,b9063e67,38a8c03c,49071581,da79ed15)
+,S(1c889cd4,440caaa4,fcdf55f7,2145fc17,d73e25ec,264831cc,30a0cb5e,c1d37632,41b5246,131fa67c,7314a223,7db5e4b0,574f5b86,11560166,ee55bc94,22d72fdf)
+,S(ff295890,791d87e7,982a99d3,ab50bfa5,c58e0d06,25392abb,4ab166a1,8e49525d,a09664de,19951364,19649baf,88806fbe,c370879f,efbe4a58,e619a01a,19454570)
+,S(5eb2eabf,cfca1fd0,7c939e5,b8f890cd,74e399ae,d9bdf785,7bca8767,84e95f99,4c42e970,1c9a783c,201aff12,16265d8,1f46f25,fe110f63,31fb8fb,f72c9871)
+,S(43e5508c,dbccc93b,5b3f8ce1,7a071c1b,3b17bf4d,8153f61f,cfc7b6b4,f6cbaf91,b5ed8f78,438ba71e,509ec388,d09a5307,c853bb73,db240638,15a07343,9bdfdcfc)
+,S(f5d16930,23cb20df,c8607261,cafe533c,eb513f87,7f6e2c99,5b0c0f75,fdb56f53,e539b168,1528332,f7fc4bf8,73e2965c,2557dd40,6eb2c8f4,92ce0dc2,126ece68)
+,S(db9d66d1,5dc5a918,46180a62,d662a2eb,72313c6f,ba511eb6,c7fe0c0f,78aba2a1,c96de8a3,61f0dc5a,9e2762d9,2257857c,3cfb46b5,81c3f0b1,f89a20f2,a1517227)
+,S(e760d3d8,46fd63bc,4f565bfe,7bf5133b,56ffce08,27b99ab6,833a64b8,868ecdf2,60ee6685,8be2eb4,1821cc82,54062e01,2c1c1e12,285c8381,e60e5d4,12f102ce)
+,S(2bdb2299,caca7ab,d22533e7,12e37004,e3a956b0,31da4d99,1351d790,5c33e026,64675cdf,c2738105,dac3e877,e27d00e7,80193286,24cbbf82,a784713f,b6e44731)
+,S(1cce0bfd,5992134,b7813773,9fd6c844,7be48d20,e001bbbf,c3c87b9a,8166bee4,2d4a8ee5,1ed7fe30,c3a1253c,4cd9e83e,b5eeb73e,c166f4cc,42788bbd,cad37057)
+,S(6d6be3c3,7f5dae7b,ff5b5bd8,ec6b8c65,ec8405c5,bb6575bd,6ebf89a5,77641075,4fd3cc1f,5c6fd3bc,6011507f,7c4eaf4b,24d1938d,35159b80,39246ccf,ac9c2c7f)
+,S(d82c180,d96e781d,783fb1ca,8758fa1d,b3c67f2f,143e836c,c6007d8b,bdb22351,3802f669,952aada8,93b3e9a9,74a43218,37415af6,7964b1e1,51a7b8e2,7ad0c7d9)
+,S(4ec61edd,7e03fd34,f91dfed1,b546f1b8,fbf9fcee,8c73e343,b228ce18,3db3cd71,e1199709,b5b2e2ec,8af90340,de9ec3c6,db7d948f,aa941cff,b1984856,b03ba9a9)
+,S(31aad469,73aea11b,a54744d7,bead13ee,a8df7a8f,8e735643,add781e9,e17a034b,64676f41,3e49f606,3f68bdf5,7ced7486,a94680f8,e60e2913,f13b674f,84b37adb)
+,S(a9842189,2fccdb8e,f6515903,b589ea62,1f946bd,97e2931a,5eb1ce4d,4d173e02,50be76ac,3b2dd7a3,a3370e13,3cd6fb37,7ea266d,a566049,abe488a4,89a3908b)
+,S(822b54f3,3ec00433,7a6cfa09,277540ce,fee79b08,a50695e3,f8fe0ece,b7bef099,393623c6,20d3f604,7343ddce,d8805bf0,7405d336,fda8c712,8d044851,236bf7f6)
+,S(100f6b55,fe3d7000,c5f8de14,ebfc5d7e,15793d10,e99dea3d,33adf25c,15065e0b,d1bb44f7,58c4dde2,7c928267,6d6c1114,a352ffd0,dcec8e51,9b2cd74a,4eecb4c2)
+,S(ca5d8318,6a09c227,481aa6ec,d195d094,6a54257c,5adb71bb,2d4e8836,d6142f7f,d890847f,b9747a0a,f3ba0c38,84ae057f,878d8d31,fc73933d,e014f4d9,2677b42d)
+,S(e91c25f4,2234d20e,2931a352,f98ff610,e8ffe53f,101b56ca,fa5da12e,24bfbf14,b1ec15e5,441ec52b,c71740f6,d60e99a7,7a26bcf5,143ceb41,872b4a22,964dbb86)
+,S(57a8c8dc,310902d8,8569b290,22e99ae7,acb54547,2ccf7065,9e9d42c,1ae34445,85224541,442e09d,f4e92db5,64866aee,50e7cc3f,b8c20acc,b9c6161e,30ab1fb7)
+,S(232b8c67,2502d16d,badd0d41,28c02b6f,55a8531d,a6fe87d9,581045b0,7104500f,38110a0e,9e7d8587,227c476f,6549492f,4f5255d9,e618cf39,9a7a40f5,85f93fb9)
+,S(7d0be68a,d71f69b3,4f5d4876,319f7e7a,750d5c7,e3dc876,187627fe,77004fec,3e72a050,7d0af3e6,1d6f5402,8a5b971e,a12b1d18,2ca45e67,ca09efcd,45124633)
+,S(4dd85f0b,77c2a271,c95fa436,90c43485,b70b02c4,9a46cd83,6ba7a2d2,7af93292,843642e5,c9554d98,48ab6ff8,5dada7a0,f139e64d,2081978e,8c9e3bf5,1c11d597)
+,S(537a93f5,88f02004,70b531a1,74ba9a7a,3eb2e5c1,eb767214,9e264e2f,712e52f8,b0d9b3a0,dc009266,8e25f06,71895af3,94efa1f9,78257ebb,3f839b61,340e161f)
+,S(13faf471,325b1e57,98ce60a4,6f82bfd1,ab346590,82588ae8,b972b331,9ee48684,a6720384,e84eb529,e22f2585,79b2201a,dce7ba18,845b8bfa,49a21ade,7634f743)
+,S(691e24ed,5861b344,e015dbea,809dede7,ca17c482,22d9e06b,e1be4405,cfe8acb8,e3564adc,c197b0f,cc520d90,9d9c6347,5ad00294,3d0f3f96,6f49b76b,91c529ab)
+,S(36543b91,aaaea850,15aa394f,fb334923,b754b3f8,9047f73f,423c15dc,7d3d7ea2,73b4693,b79b800e,8e48c838,9218094b,9dff44fe,5a1fafd5,2d68a2f1,bbbe5799)
+,S(ff25abe0,394180cb,1e045045,5320ea80,e007bb0,fe3bc8a2,24f20b07,8433f05b,a512b109,26dfe650,e6dbd678,ad9db412,938f69e0,8aee6c2,f903631e,530b7e51)
+,S(1dec07b,5faafdaf,51051f57,cd0247ac,cc607bc1,70c53222,72d389a1,7d87e443,7e77e937,382b2bc0,5a2207a9,2598dad4,d870ce67,d0e138d3,bb35094b,9fa9a325)
+,S(2f10f776,f62f8632,ea20147e,d14e0919,485ab78d,fc636236,29c2994,9f413c32,3b2c5fc6,e760462e,b9d8c8b,5aa6b1f6,35c23668,33e7ef5a,d25269ec,68d2184a)
+,S(7974f394,e61c2cdb,acf09681,4bcafb4a,ade31943,cc180188,31160022,dabd73ca,e1b34da0,3bc1aa66,87df854e,813ba451,2be4cde8,310e4056,73c83600,89e98309)
+,S(54c5f39,3c5cc416,56577469,84aa3695,32af1ede,3a51b14,436748cf,1701c332,3dc67b49,49769cc5,22b0626a,eeab6ba,ddbde8ac,ef78a0cd,800c1b6a,5043e4e)
+,S(199aa296,f047c7eb,1d8a972a,318585ae,8092e905,e555915d,81c1a3b,425f3783,f5823679,64d17a96,b4ca7946,dfd3a266,585154e1,cee02e2,b87e8fc7,eb46c262)
+,S(d15d39d6,fb616dfa,6c292a3b,a1fc58e7,cbcdf0be,7976be87,9a7f088a,9bb7f299,4c8ae97c,4e37f837,bdbd4912,f43bfc79,679dd418,b57d061,f705ba60,2bd7a900)
+,S(76d65134,880e7dfc,81a332c6,a04b82bd,bff26eca,9a5aedf5,a6f6683f,364ef58b,b71ae708,bbd22d83,a1ec9048,6975b9a2,7b4aa5bc,5bf1246a,6464406b,401507e7)
+,S(1eb4d2a5,d4dffe36,30ae9ead,792ffa9b,452ef0e1,94c06a02,a0308143,dcae51b7,88d978c1,e6ab8e79,9a286af4,58cb3eda,7cc94b67,589b144c,9a55cdbd,6ff47b0b)
+,S(dee03251,35708790,361c3451,6710623d,e474bdd2,4513562f,95512f0c,dddf571d,d22dbcfd,cbf6d809,2c68a28d,c118ffec,496d9623,b20667c3,7fc487a,1690f565)
+,S(2eb0272d,c98ac6bd,ff68f0d5,5f13f509,bf1dbd9d,f36385ae,ef02356e,56d4760a,f80d4355,4aaf4eba,27aa1832,90573687,5c69ad44,7211f746,111ca02b,26a04277)
+,S(eaf62e69,7509672d,8ff6ff7f,c7788822,b75853ea,27636b5,c39b0321,ab0eabf3,442e56aa,1c8fe22d,71b88b96,90733f1c,8614e160,35070095,6effdedb,2e0a3b7c)
+,S(2059070a,13d96fd9,6bdc442c,236ef463,cbc70185,b8799d3b,15ef72ae,4592858,bc9042e8,3f259ae8,f6221d7f,46ae56d8,f426fbfe,901b94a2,80da34bd,14961ec8)
+,S(ff2ef7fd,9e7f3e7e,6f7b4cee,a44ec281,4b8b4a44,208c462a,f925d27,ad2f52fe,6ace74fb,fa6f72b4,8156cb52,a67f5137,956a447,6b69fe3b,233ce4f3,df0a5e24)
+,S(e3e5cef6,fc4553fb,d337a7b0,4357ff1d,d8fd0de6,4df17bf6,20f7f9d8,9d14d83,acddfda1,baa7b60f,d0d1863f,769a475f,e667b6fe,8a047365,1b84f44d,238f0460)
+,S(97a8726a,41c02880,e9942341,a66b9c21,a0c64577,bde3c54e,c11119cd,bf57a6c3,b5f37cae,27023d07,78cc5c7,26d845e1,fe160aff,3459d164,681cc38d,8b67b4e8)
+,S(ab01e6e9,4862f943,8639484a,119eadb4,12fd9002,1d7781c4,1b020450,9dcc81e6,6ae50c32,101b5c3a,51fab05,2ed79e5,48853cf4,15a30043,6b11ee05,7483b14b)
+,S(c464410,da2dcf6b,2e6ba5a,c8d8479e,58ed9a4c,a8c2b0d,5a2ea15f,7673668f,3698c590,62392c7d,e597f333,cd3ce45b,eadee944,5209d361,adbbc386,b499945)
+,S(17eacc68,5f721f3e,2013b0e6,76c10795,ee49d524,26edbd86,48f098f4,17867534,cc3116e9,cb19f49,bbf7214b,b3ab76fb,fec0f856,e994a01b,d6b63ece,189ef300)
+,S(c040dd40,2908ef17,539b77bd,5befd53d,3ed2e8bc,d7d3608f,2b114dea,d4c00d73,7a6384ae,55ec2580,4d1403d8,45113dce,b2053ecb,6ce0d3d7,427835b4,15279c00)
+,S(a5963498,3658f70c,2ec25fed,6659a290,41bf2ba2,ba92db93,41b03e39,2ebddb42,dc114caf,260ec4a7,a8e8bf4,1695785d,1ce7c2d2,82359600,a950ade4,d79f4872)
+,S(44fe22d4,51dcf63f,c7e33d09,533836c7,66382372,339de279,9897cea1,1b29aa0d,1718c4e7,3d4bd434,929e9ffa,e2496f79,4f3bf80f,ae805a9e,53b577cc,4c4279b3)
+,S(8bd718aa,1358c15e,fa3b246d,e244bfd8,4fc6b5f3,ed5ec91c,ff466a11,2c71647b,172f1a88,ba6c11f0,1b7deb8d,e4002793,65a0a3c8,443b2fa5,f406dfe8,4bd737fa)
+,S(8ebdcc25,bbe6aa23,809aa53c,3ff3a7a5,d7ad4cd5,5dcf3cfc,d9ff8ce1,738680d1,5c563b26,af86adfa,c3728c,f886d83c,5be64766,78ac5872,cd798875,45e5641a)
+,S(5cf54e1f,688faabc,99742fb8,be896cfa,b469e5d2,feb72f4e,9dbc67e0,e91713d2,d82d6590,d06330d8,2f86393e,190155b3,4920e8a8,86324b18,5694786b,e4fd09c5)
+,S(6c0d96e4,3f01a1a7,2ec16ff4,e04571ed,387185c1,4c8a2f8c,db4c187a,85845f1a,f399a14b,763ec2ec,f3415c1b,b9bb6f70,abcf013a,3117ddd6,e55a96a6,b0798c08)
+,S(eae928fe,fb6a2fdc,d05f1515,5726a133,9a15ef0b,ea716ad6,90d32dc3,92b74046,bdf87ad9,f086339d,cbfda797,8d6ed40e,f6fd4626,60d6db09,84ecc577,14c76bc)
+,S(e5e5e30c,bbe72fde,d9f0dbbd,e08dda,b61d5cb3,1aa688f0,d572008e,447b3a21,9fb4adb8,f80b6e67,47c6ec03,d5171ce8,5de65682,a105435c,5610065a,85b248ae)
+,S(711212ac,c9e26bb7,c5ace176,26b300bc,78df6b0c,a79a0b79,7dbcca,138223ee,dc68858,4ef44ddd,9e6b343b,c4c73fe3,6b873239,18e11cbb,dc3aa72a,ef027757)
+,S(3b52ebb3,531aa4f6,ddbb9ea3,fb5e5784,c4cf11b2,a4c67d50,6b6340f0,21c5e22c,3da3eebd,dc0046a1,3facf02e,46818640,b698c8a6,3c5fb9de,55a9996b,b190938a)
+,S(30f28481,110345e2,7dee7292,fe1c7a56,45294a17,e96cadf9,1eb76bdc,cf56b78b,70c610fc,26ece34b,f047864d,25116fac,3c149164,a1deb08,8e6d702b,77abb049)
+,S(4a844a8,12c55b6,4e4d37b6,1ca4a1f1,5cfef527,699d5ab5,edf1564d,e930ff58,49874548,508de6e4,dbbe6bd3,8d0a9ff6,5826f9c0,63274cd3,f3189d59,683dfa3c)
+,S(a5ca561e,a7c8484a,642e0fd9,a999e14c,5ce2b5d,edc51026,4519e6c6,7868b06f,cc917942,a5e2eeea,ac09b00e,affa7f6b,7abe386a,241de5a4,7a7c43a3,85afa7ed)
+,S(f61b7ed3,1e16c456,c3851a68,e10f614a,1fa547c6,456e57ef,3c1f8ee4,dfd6e72c,cb26d0b7,fc401865,91f5fbdb,4d17bfa6,a0c5a811,4d099a54,734a3280,5f622f2b)
+,S(f8e4d462,889700c4,b52859f9,e766fbe6,55976866,a22207fc,aee56185,15f678b2,30bb039f,c1b16fb0,aa09c271,bfbb76b1,6791e95,9dd51ae,6f01aa4e,bac77554)
+,S(89cafc1a,5d25915,b2f6f71,71814a2f,d5d97a06,a717a91c,a392909d,332ab653,1a24a0ab,b4e4858,d29c0055,714f34e1,5eac02da,60e87ce1,6fe2f144,257ab76e)
+,S(d285370b,d04f5dcf,caa01dca,7a2ad510,33c5b555,6aea60bb,4a48d97d,477c4f20,d4b427b7,32e885d0,13a2adf8,ec705145,c61386b2,c6981b41,6c44d202,4693b9d4)
+,S(3c532f2,d9bdbfb3,219dc90d,17aba269,fd335066,e1fd4974,9026f66a,4df217c0,86fd5e7c,a6c97fd0,2c33c7b4,28413977,2791a6f9,f8c80576,75b3e306,66ac5d59)
+,S(24d1950b,fc35706a,21b17a16,53037226,2984453e,37e26924,b730314c,cc8ac1ee,4d22a45d,6a31a90,bb247c68,59ae9a75,b05bb9e0,8b57ded8,4b9c1ea9,c9f918ac)
+,S(cc6ab0f3,6227b1ab,149f8ace,ea036fc2,d8505341,ab67d44,59582b36,4e7615a9,f9ad93cc,40b1258,67c806b1,20fa6f21,bac918af,54a0f7d7,107680a3,83761cb8)
+,S(de24a954,f36e94b6,ca816bcf,f730b99d,6320f20d,9b141cde,f08ff71b,25318cf,3e34b1d9,1ac24a49,b982d235,44afd62f,8475c35e,a48394d9,67904a41,db899933)
+,S(77ab04c3,4900aba9,d83a12c,7953cfbd,5f8243db,48fab618,f83ff252,5a1ffec7,6265ac27,3bcd77ff,496265af,75a8db31,231c871a,30a32bd,ae873efe,bcac2f00)
+,S(a47af706,5f4699e5,e0079885,d19580a2,51ff8dee,1dab741e,ce84ad51,16e78209,393cbbfd,f1b1f78b,a563f7cb,3465ab97,5b786088,3daffabf,bb8f34b9,7a257440)
+,S(a9f5f9fd,c55c7b7,4dd170fb,d0322026,93d709e1,d52a37ea,8a545e9e,9cd7016d,98717925,4badf22e,8fd847b2,e9e80ab2,54f0d327,f6b6162b,8734b105,f1d5e0e1)
+,S(d57e9ebc,96b938a2,8fa200c4,e586e7e1,ba866864,a947b71,6cc7cd63,4e18ec38,9aa0d2ef,68239110,5b4c8b7c,b412df87,25de16ea,f28596a3,62a6aac,d1b6bd36)
+,S(7463a8d8,fb4dc14d,5618e66c,aa85d73a,e27ccc1c,ab820611,9f506829,faa58e9,82fd6ab2,275af504,aa0645a2,8438db86,ae7990c4,b4c389f,569aad0,68d4829f)
+,S(2e7a708a,29c44831,9a02d03e,4eb331b1,3927ae64,534db2fc,a3c6e7cf,d53bf412,84f3f199,73500cdc,aeae0073,f39b3b2b,ebdf6824,ec018160,fd2e3b3d,4b1e11d1)
+,S(8707b0bf,540bc058,faf2f3c2,e8ba304e,180d094b,b7fa8dda,414d30c4,d9dd5e03,70b61175,fb791033,50c6bd25,aa0594d7,18db5ee9,9667c25d,fbb49c20,f100b915)
+,S(3fdb370c,3ce6cd02,886070a7,28e66749,22f67dce,1b6c08b9,613aa2d6,53ca842d,163518f2,474a0344,a5c4c5ec,10b1efef,5d3a5ef9,94010063,17a486b0,c8e0dafc)
+,S(c37da302,412cd549,a01411e7,6f58d4b,33077960,94b31af,2a283d89,48472f62,aa08f287,16c642f4,8702d1da,aa0a82bd,ca849000,b8ad1d26,801c6fe1,3a21f92a)
+,S(3eba0550,381ab0f9,251f923b,5c7a339,60ade9ec,2b0b47cf,25726fc7,a5e08a1c,1427b0eb,b681dd3a,88639652,5afc4e00,492a1ad9,a0c5a396,55741a5f,cf0fa7d9)
+,S(96723ea1,8ce5d5d4,bf64628f,7754fa0e,e43f20a7,85356e01,94eaf8e6,bb50cee8,5ad09fbb,b9bbbf10,e86eef51,2d448aed,6cf51b5b,b28c8e8a,713066a5,81f49bdd)
+,S(d7645211,7ecfb6cd,3a09d346,55d5c58,ab822892,67910f13,29f8d604,a3663748,ab7cc104,d20fde08,2c889dbe,2baaa9cf,bf2c9b10,c225da46,eebb8031,c28540f7)
+,S(1f6b23dc,7e0ab136,20d907af,ad4bc944,8c866065,b4ac7e43,4dca8906,d0ada5e6,8c37b25d,6bc639da,ad092040,5daa9eb1,56041440,e48f6602,398ec256,763e247c)
+,S(46ff04bb,aa06a168,79479e64,bc0e8ed7,6abb5a12,8afd1f9d,9bd80d50,75459945,b1104ec2,6af2ba0e,39133bb9,e47a61ab,e7e9d229,41d71764,91ef9da4,f51bcd4a)
+,S(ca1b3c25,38888069,3b076e54,58bb0451,3bcdffb3,d824af86,f3f4a883,2a597ce2,f02916fb,dd1b6dc4,76109d11,bd9e81ed,dfc9d6f5,79847622,51bfe2,a1e0285a)
+,S(c961e9a,adb69ec4,8efec7fe,dcdbdfb0,5fad1277,2b801763,ee747a10,99ece6b4,469a6c33,e0b253e5,270bb70a,d16c4b70,56bb9b3c,35f0a2a9,84e2f269,9d8fb6e4)
+,S(3a2ea279,1418cc94,d3f81708,9d44e777,7b3132f5,b9b67393,ea4f28bf,939d99dc,15805143,c035d921,be217dc7,18d13e2e,b981bf8e,6525f88,31a96c65,6bf164be)
+,S(416dcdf,b3a1f0be,1a3fd6ad,52fb1c03,4e24d48c,cf34d189,e7dedea6,b65a7a4a,76909ec2,bbc93359,ac177781,2132db31,47e90a0a,3c6ca35b,ebadd113,60c204c3)
+,S(b397c245,9aefc175,8ba5177,2d4b3ed3,2ed9d1c4,85d2a2b1,7318545b,93c63eb3,a106a360,30763676,ab418ffc,692043ee,22813574,e3117a7e,4471ccb6,f5e71748)
+,S(75c5589b,efd61646,329dbb75,5e809b2a,c1bdb8c0,d29a3065,32ef3909,d40637df,26f3e1e5,1492105c,90ea19dd,81fce6bb,95e60295,a1fe347d,cba27adf,a3e6f631)
+,S(2eeecd12,a3517432,17d5158c,439a9046,e4b0dc80,119e58b6,620e6f08,969135a5,e1deebd0,48c58ed3,1b53d753,9c4c5791,13606467,14147707,806f491d,2daaba4c)
+,S(a981f091,5d39d650,66b1d52e,5addda67,8cab860a,c75ac124,aa100593,9cbe65d1,4cb09fcb,7ab60293,2d98b23c,96e5109,88d4f149,4f334e7b,66c60040,7d3ed069)
+,S(1a19fae3,a7e81d02,a1260c9,a759e79e,545cd869,2666b31a,9aa4c0a0,9bd4ef62,2807d657,8af25c69,e29bf7bf,d877dc7b,79714df0,68ae0707,89c5b72a,b0937902)
+,S(cff8696c,1ee7d196,d76f139,2662e776,9b0f4314,99d30567,1952813d,2420c61a,8497e013,8a399690,25c04b1a,136bb816,3581f122,b62b70c1,47fc52c5,e6d16df8)
+,S(6817a420,4a8b3479,caaa9582,4d48eb04,9669115a,9e5a5cd6,6cc905e2,1e27ce8c,9585468b,c3377a5c,98725465,35c8385e,8182a0c2,763226fd,95e72937,7b3052ad)
+,S(9ceffc84,6e0ecc26,af13eb99,579478f3,7d114b19,59253233,bcd33d6c,8dd9d58e,e01aca1a,5cf8fa1b,67c4d4a,fef1c7ec,51060234,3ea64426,856d0aa8,fa5d2582)
+,S(6a6e1dc6,f203f7fd,d9796589,2301e5fb,995a3731,8c410543,835f0edc,d3456c49,2a072b98,98b93e9e,b05f9ad8,6a97546d,83b579bf,6efd3482,f93baca1,3784496b)
+,S(7e7bae1a,588d761b,5158b4f0,fb9186e8,8ba3a521,89ac36d2,4dd31d7c,d2a9129b,5198f63b,37995cc7,289e60e5,7d0f8738,17e6bbbc,d40d29d,cc4856fa,ab3dbdd6)
+,S(13fc3a8,63deab2b,ed54966f,fa85e553,ffa15863,ee12f9f8,5dc5b35,6bd253,e31c3245,91275056,ffca59e7,6e76a957,a8b77c82,702e5d58,b3b5b577,73821459)
+,S(ffe28deb,3f39d917,f6b6dbed,ae89ea4b,e5650326,d148ccb,becbc6d1,16e9c167,8d8a52b3,b878444d,e5385760,4e02b3fd,383c4be1,128c5b2c,262aaed6,9dbb988a)
+,S(28ed423,9bf26de7,d0379a88,30fa0ecc,481c4354,1dcbc3cd,44483b0f,5cc57be,192122e2,ea018e67,4520d860,b4b8d859,2d560872,19bd0ac3,7bc0405b,10ce126e)
+,S(7bf3827c,7be8c484,52acc00,eee769da,5aa4ca38,2f806d72,76c72c8b,bf8a708,925f3eee,e505529b,45c601fa,1d71d706,24a75d07,1ad29172,6bb243e8,a559eebe)
+,S(cf1a7e99,21a01c3,f8ede862,71f7b6bd,2acb5aab,330a17a4,a7be1380,6fce7000,21365a83,7b3ba611,16a3e740,33a3463,5f1e70a3,f38a878a,7c3a155d,59d3d673)
+,S(e779ea37,d1517cc4,e36c812,1bd0a986,af3bdd67,52626944,afcbcae9,11bb29c7,32c635ac,4b19775a,a04e2c6c,29c6f42,6472bb6d,45c1bf81,e8ac8015,d78a8a2f)
+,S(10309d2b,76b54210,1599785d,6c381d52,f9697728,8e0182a1,638b7f68,f26c2a92,21edf83,4c859870,efb9b37,7f931316,f3abceac,c19b6a1a,438d020,658265a9)
+,S(79927b09,701e46d4,2eb2240d,e9132036,f2b6b311,a7140701,813e721a,533a27f9,fb7c6513,a81886c1,a4c75640,36136104,8a0f47ee,b8d2b905,3b3d84ed,3b58920f)
+,S(743b4e33,77da3429,9f593e68,3ce24e3f,85b1de0,4a3dd37e,fdd8c73,1528849e,37900069,b5ee63ec,7b3f178c,aae73281,fbba7de6,849e14f1,8164d6b6,742f3216)
+,S(d73cd2e1,ce1bb7f,1aacd9b4,9951fe6a,e46064fb,a73acbf,49868605,c4f04da,e6a762e4,4cc6e71f,f5887fcd,6a33ff1c,cae7f84e,2f22a096,14b7f4ad,b253dde8)
+,S(3e1c00d3,f563246b,3ff318a1,77b3ebf1,ba632481,47c073e8,ed32d697,95f6fa68,df2b60cf,87d5c129,1036aecb,80e381d,18ce2e00,c23fcef6,b4a72f0d,2d0776d3)
+,S(96e07f90,92da1653,e5cf10e6,87526db4,ed90c2e4,c629b221,a32fdc6c,d968053c,d65c1c3b,b8a2ea6b,9ee20ea5,bfad3b9a,1f8517fe,2e5e3616,4ab20787,4dc2bd66)
+,S(6d230440,26b1ee02,531cc124,b2e0796a,d27a7652,33862854,d8e177aa,afe1debb,f3a8f995,faa14689,50fbde47,1e4ec008,e3dc6228,a8cfd2c2,5983bc09,ed79bbd3)
+,S(8dda9f5c,1f949dc0,314e43c4,9e716138,ad7d4511,a4b06d9d,c76fcef1,e5707781,d0563faa,7585b0a5,12b674f5,db737435,ad9d9bef,ae5ba77,5c78a582,6801310d)
+,S(5070613f,98667363,f5eda369,fffda417,b4bf17fa,b4c276c4,e5aa357b,bbde97cd,b20eff,4fe77ea3,4185751f,9b16db86,eb40e47e,486a4817,8a0cf09b,dc34ebc2)
+,S(3a4a70f0,bfab1456,b9b8838e,ac1aa188,4986d74,6a9b3a8e,fc792eb0,af16bce7,e4524a93,19168eda,a1832980,c04e8423,843b3e89,82381e24,8bdf5a3c,adc4f3e5)
+,S(2cdcf892,183159a9,da9a82f5,4630773e,db5fba99,3bcdda38,b5291230,aab33532,c88ea6ea,c9113f32,85e299e7,42abce8d,fd95692,32292044,e0a35870,757677b9)
+,S(1a85928d,f8f15f61,12e0cd6,f33199ea,2b7fed02,98c203d,781a2dde,28955c99,1b3986b2,821c76a3,fe13a6b0,30725c29,534a124,51ebe945,5682ce39,74db4299)
+,S(86d14da1,d6b03065,a1520663,41b9f010,dde01966,3e622c1a,6b66b84f,1da1d388,679514ec,764f5cc9,e884a6f9,f38042cd,cfe5683e,1f6e5055,fd1380c2,8399b2de)
+,S(e41f754f,bdfc879,43334341,5a5078e3,30045999,7c245441,565d0357,16201cc2,dd059641,c21d191e,dfef119f,492ee9b4,743f5e0,bb3cee47,dcbb0fdd,790e8e8e)
+,S(b7ec9268,45b5bec4,79668d8f,4e444643,2946e17a,8338e2fc,756996d3,4475cae4,ab4a18b,b7539e90,10e210f5,779476b4,d945e350,978ec2cb,7cc62e71,4fdda53b)
+,S(240fd9dc,f1eade19,1662554a,a25850b,bf3ecfbc,83249d4,56b769d4,b7518912,af03fa5e,e0ba3908,853a3a62,eaa6a804,5318a897,31352207,76a06b08,d104515b)
+,S(353c4ec,ee7d3114,979e39d2,88cc3faa,2b88aadf,8f1cc129,a5c57237,875bb769,9fa7ec40,90af4e12,e940118b,ad70ab8e,28e607b8,5ae33cf0,2a0da4fc,d12d147e)
+,S(f4eed58a,a8556688,11606ae1,1628fd1b,89340988,cbe0482d,39e80376,2bd933de,4278cf64,fe74e070,d071969c,a8ceb40d,18b40bfa,52d7feb9,1606f0f8,df3b3d44)
+,S(698ffae2,e2d02660,434c17d5,b5552d4,b284f0a,736bc0fa,1a1290e,266ef1ce,1966cc8d,7845b74,1da7e53a,496fc12f,8bd50cff,b0bd143f,ab608198,e1ffc970)
+,S(b53b596d,5c88c140,d6e0587d,417c8945,22d884a0,4fb596b,5957121a,65314098,ddff60b9,9befe76,c87de485,76c32eec,25deeb70,4cc19a56,77197ae8,8f2c745a)
+,S(97604b21,d4393bf9,d6e4cba6,7e9f2768,79151865,9f626d65,52712fb7,1a13066a,e7aef384,e1cf7f7c,65c5b0d1,7357f266,7d871c54,fa027616,36062623,4a8d17f8)
+,S(7a35c9ba,6edaee60,312b234c,1062f7bd,3b38760e,da1d47ed,b63484e9,51bb8623,33897a7b,a4546761,6ae92b58,6ef704a0,769f3a57,86ef8245,7ebd6a42,4d84a5b1)
+,S(86d40c75,f989115d,ca26e0cc,9263010e,c9638b17,86707e01,b6a20d95,d1e2804,759bd762,4ffd8c1e,e71dcc8,a846b5c9,dddf2842,c4170410,c0f38742,ec315ca3)
+,S(603bff47,9a4bb79f,663ddea4,93b90e5d,fc77f6e9,b2a401ce,3e8deb31,609badb7,62879fc,65281aaa,6aeeefff,cd33a02f,358c86dd,dc03720e,e1e23998,9da4f4b4)
+,S(5c8b8f3,c7dc7a7d,721e0bbf,8a75a36c,fa13ebdc,14987d7b,5dee68b1,32203ed,6b601f38,2bc4c6bd,7d9d304d,88fcd6e5,3faa43ca,141bd90c,e7749340,ce08e7d3)
+,S(313c1ec5,a91694c2,41e7a55f,f83b7378,25a6f27e,90090505,a7963ce8,7544fb05,9c3153ff,9a4365fa,fb644699,bc4462c5,1ed858e,24752e59,82566037,103c6384)
+,S(51aca51,4616aefb,30268cb2,968e0fa0,150b4bd5,a79746bf,98b01543,a9d923bd,7c51f9b4,73a7747,bfd63ca4,f4e2b361,a0a66ec4,31df41cc,203457a7,4ee028b4)
+,S(4ae8d399,27ea0648,4936d3f9,2bbe97a9,353071d6,7743ca12,2ab7b6c3,2619677d,f9dc519b,c251bce8,38ea332b,9110538,f350f5e,4352e7c9,19e677d4,3c8a47a3)
+,S(6bd1c95d,3f9cb5a0,8c1a054a,884d4bbf,b100c289,c4af257b,aa0784de,a256dcca,7936283b,de39b12f,6f71fc40,1b07de78,80192357,a8887e71,39654ef8,6b803b5b)
+,S(e2278a29,4642caad,ae370a62,e07fbbcb,5737f700,9ef9e8ce,19bdd283,aa49480e,43122fcd,f3943ce7,35b570b7,ed82f61d,87bc8b5,83d64f77,b36f143b,4837dd01)
+,S(68537cd5,9f9469fd,d104bb01,93335830,8d24fb2c,b22471f,feef4ac4,fe96c644,765360ef,41107a51,dbf99ff3,26e3b19c,4003ab45,979de4a7,32063c81,8400050e)
+,S(5ec9ffc6,69c99f9f,8f8a0735,fc088824,70be08ef,3f81bb54,b1290a07,765af330,abb54008,e76f8716,78c3229,56b47c0,1f4f1cdc,dd1cbb38,1a421397,1163b222)
+,S(4e00188e,5d4930fb,a9471aba,465154a1,1a330f6,15cae31d,b2399874,704dfae9,7e76f30,282436aa,73f656dd,35b40209,5ed3fe29,d2086bba,57fbb81d,4d317868)
+,S(4ae347a4,d480152e,ffd39ede,b4c2f3fb,a2659ce4,bd3b6e3c,8aaddfd5,f15ed984,383e2f46,d44cfdf,4fab8ba7,ba72c635,65bb6ac1,f35c7307,ca2c5c3,62d4e523)
+,S(32cade24,a8d3ac0e,f96d90fc,86509a5e,35fd09c4,d8f7719c,603ce1b8,9c6665ef,87273873,5c63b137,5b63c5aa,6ca89f9a,266939f2,e0c936af,55c10d0a,fb8bea36)
+,S(8e4ef195,60147576,6ace6891,f87c22f,20c703c3,d4f7204f,5f422444,51cfcbee,2fa72e3,89d97c1b,79eda0af,c00fbcfe,cd5b9d0c,c949c666,459706e,6ed47af)
+,S(35fd575c,4adc03f6,c4d54991,18607a01,559d7316,9efc2509,aae7e7ff,a4a2c30a,f9a5779d,274881e7,cb700926,dcd10ac7,dbf3eecd,9c948aa1,3474add1,ca48e000)
+,S(932e4c50,7fd02595,148929a5,2c4126c7,efc12f5f,5f5db287,3c635fed,c90a9cf6,ce6bca21,bbaca19c,29f6b1b2,4d1982c0,9e84effb,cdbf1f28,75f61ef9,ba8ba783)
+,S(cad8de44,22a051c1,be36a37f,2f459707,55d3e2ad,35debfb2,11a45d73,49fbea11,48b0df1d,4f6669f2,80a41c90,34f86f11,308eebd7,8a9fd3e0,53323a66,f01c347a)
+,S(9fc7d304,c847fae7,d016aa64,6cb36383,1919ffc8,fceb757b,462fbe90,6c9594d6,dd17c0e1,3bc6a187,cda9dd38,a7afdca4,1963676c,e4d4bc9e,516e3a45,d9860ff)
+,S(41ba6cdf,10d4a05d,c6865453,894debb8,8300e4f7,4c17c0b4,c8935761,988b5849,7eb62b15,8c3f0965,e571e278,b2833321,ece57e84,cf153ac5,9309841f,e47ad4c5)
+,S(1ff9fe5a,aef36ae6,a2d74248,cefb8693,d5bbf30d,f057e884,b227ba44,11c7377b,6ba24b6c,585c0038,49c9cf41,fcb55f09,50690850,5be64692,16520575,f1e74278)
+,S(299d7c44,d706d29,e6d9d070,4856c272,6d134814,1f8f7ebd,893f38c6,cbf5d660,e4a74f3,4d0374e0,ca9b4887,76de9acc,62f7d1ff,9b494040,fc85eea,2d03ff32)
+,S(a0333ed9,ec1c987,6e318ceb,83d6e93a,b607c2d,cea512d6,9f7b2bfd,72e3a67d,da7dd365,5f51769d,35b37393,21fe7b50,19f83e3b,b6b8941e,d685919,fba0539e)
+,S(5a4412a2,2e52a330,534093d0,ba96865f,2821cf01,564ea0d2,e75b84fa,404251e0,6a4788e0,7e6c570e,8390bc0a,b06d293b,3675ab27,54eb700c,7cd4078d,8f0e4313)
+,S(d772ec4c,3b141dc6,e534ea6,a69f9b65,783351d,c2fe7cdc,3e823cf6,32b7b0b5,bd93400d,1036487e,7090979d,ddab3821,c9ccd92f,db89bcfd,da929be6,689ac0df)
+,S(949782d2,c7694c3b,ffb3e1cd,6e40f807,d4452fa4,eca1321c,d04a2367,6df89336,e7c5e67f,b8ba22b5,4372e5db,bcd63c55,9f4e2c14,c97bc930,b68d459c,bad436dc)
+,S(7ee7d5f5,75e6f59f,3e0a9e4d,4c49c71f,6d9ca0c8,6177470e,2334f616,a457e6de,4462da9c,76123e66,c9074add,76fa310a,9cbbbe02,d6a07d01,97e732ee,d7d9f3ee)
+,S(7a4b630a,e08d47b5,b785ba7c,15417951,8a554847,bb8320b,50faebb7,b13f843e,ca24e44f,b86801e9,7163a524,db4980de,69a3b219,7f9e5dc,6b5d7076,9d937c00)
+,S(d2d90a42,428ac40a,40aa5503,2bb623c1,3a18eef3,2994f793,9c31c6cb,1aa82b96,75852e33,2367d59f,30039e06,40b1e0e1,394a3b6e,582dfb66,7464d5a3,f234972a)
+,S(d92499ab,6206dfb3,da1b5606,62ed4f2f,a4809b5c,48349b91,340e0b16,e95d13e0,423544ed,26a4fe1a,8f940074,993aba60,fa4dfc64,be002941,11f29b2a,b271be38)
+,S(ec0c1ec2,58875e66,d24e2d31,5b7ff87a,bba6f2be,6c6bf4dc,8d5830f5,c5d09a23,e526a7f1,648abd18,1c49a237,e608bf79,8b798c98,75804d7a,ee8ba416,28591421)
+,S(69380968,835b5989,885b4805,290ea050,3a6ae508,17798c2e,f30e1009,6bba8863,71bea39d,80f0ba63,45297137,a14d07c7,7522df75,8192f345,a6170f5e,2f11e5f4)
+,S(d66b1da1,9fd1637e,44cfe8d2,e1ff2fed,15a40a5d,f596c62b,ebbadc8d,fca9ab23,68cf64eb,bd2b4bb7,1ca17c4e,607b3315,5cc5d91d,26583b68,78a69476,586b9946)
+,S(9dd98ca2,c6fa62cb,92750d70,c9931641,5036475c,a6b59695,a510dc88,3298c95f,55a88bb8,53b99cd6,f8d278b7,e63b31db,40750905,d98ffc81,87a0e07d,acfbe821)
+,S(1b66bc2c,842cf1bb,ea4ecccd,c1e2d71,4efd848c,db7a9b92,5b9a9ade,d141bfa2,fe0b4701,55fe82b8,af43d88b,68423cb6,402b3501,8831ca89,ddb9a70,83673bea)
+,S(b280dc4,8a9231de,d396a61c,2922e003,c7d2d5c9,f0e8312,c1c075ca,c8eb688a,81b745a6,a2f8be66,b32cb3ad,62babaf0,498c8261,531cfff7,da9ce306,d2738a74)
+,S(7bc5951c,9eb3ba1c,828125ad,510e2e92,413e906c,f015680f,8cf1cdc5,f18a6b5d,41b905d8,480ba8bd,b8a6fc7f,49adc6d4,fbda2f0,ee229a1c,d43af5a6,98352a07)
+,S(69ff74d1,2318548d,76a53095,25ca8695,11647908,dc4f2ea3,4ed2c53b,f6eabfc1,f3a3e628,8eb99f78,12eaca1e,b3adf5fd,1d617397,dcc95bde,d4be775,afde2419)
+,S(5fe6dd3f,1f6d3a5,9fa8f8cd,de7f689a,ffa46098,aa0f03b9,2c552e1a,c84af209,9eeae901,acb8d022,4ed197a9,15510eaf,f356cc16,274a1aac,d6dbc74f,60dbfb55)
+,S(469e9122,cb0475db,7469fafe,9c53f911,d3b52bc7,8cce23b1,21d22e59,c505f5f0,fe7487a8,38b2ba6b,f5a5825f,a4d22c26,80d8a580,9db637e,cb84e2fc,1058d812)
+,S(1f4a3ebf,6b62923,b2df816e,8b30f8e4,72a5e718,70c1cc1c,6d63b4d,9160e6ab,98da1295,7602ae19,89938bd4,298a67d,1ebeebde,88706d39,b77c6a61,4dc89e2f)
+,S(d8ea95fe,1c12ff0c,cec226ac,26f510a0,4117222d,d0fa4773,c2f78ebd,53b86b0f,155bef9e,dde6f293,b88bebb3,ce92c249,f154b59b,a01d7f5b,25fef472,8c6288d9)
+,S(1ad8a3c7,97b38071,2214b2cf,87045300,2bb36f5d,dc7f2527,1797bd4f,1227cac6,680a77aa,3755237f,15418957,6fcf51ed,58398c5d,4d56a1c,cfa3c05f,4857814c)
+,S(ffea7104,5d1d26e,d942646,9f0b0f88,355540b2,c32aa92a,3fdec318,24fa7d66,eca244e2,2d8da06c,44ec8db7,5702edd4,81f67af,2ca64ed4,cb5d04c2,2434eac8)
+,S(4ac55ba3,f7fc8898,54a141c8,cfd6f675,d3abe9ba,55d90f3f,c1764ac8,b959d8ab,9c7b2b91,f135fb7b,fd252d14,118b104b,714821b4,1bd879ce,15bbc93b,f8be2bd2)
+,S(5f814467,7aa9a4ce,f29de0eb,865b8a02,bc7061a9,ca525536,fe27af50,bb718ac4,bda965dc,4062b26f,e6434071,6301fb02,2b8cb894,73e39b36,69acf101,90d9c042)
+,S(f372cb04,37917498,4b29f213,5981f32,da5f96a4,d1acb903,88beb154,75dd88bb,82d68f5c,1e62d500,1a0a0ea0,7694194c,7ceda2ec,e32c4efc,b2a0ab46,1a367d89)
+,S(fb12bc5,45760478,36313375,3fbfa4b2,878ec6f2,243e2692,7a3c5320,bb59b128,3f820118,67dae1b5,bb5ac0cb,a24ca681,96193077,fd7bfe17,a926be5c,4953aef5)
+,S(3d9759ac,918a4a34,f4307560,17a9747f,4adafea1,b0a92447,316ff819,60c0ea07,cd9dbcf,6d6a330a,b671d5dd,aa96497c,caa317a6,77bebecc,6fca559a,56018aaa)
+,S(eae0aab3,699c521c,3fb49be4,669bc7dd,9f476fdf,58e42909,84455c82,fe3e00ce,badce8dd,450ee7c2,99b77b56,25e808a3,62c7ef1e,11e30bdd,9777fae1,4f17259e)
+,S(fed252ee,c2c0ceaa,57625d0e,925ee5d3,43718a7d,24ca3384,55e0abed,451eb851,66bbb6ae,56ceefcc,21d66b27,70756f64,dd07211c,5cf0bb4c,457a5a8a,e82c648f)
+,S(da639ebd,22ac3c1,417fb04d,3bab0b22,2362af2f,9d3013c9,bc08793a,2d7f9dbd,83f27620,55f1e9f2,fa74ed0d,536bbe54,3627aaea,3e7a031c,10aa7b4e,822466d5)
+,S(524d24de,d77345af,4d4d3ac6,7c71df91,32ced2a6,acae682c,e097cfc2,7eab90dd,e4cf5cf7,c6927c5c,31b6f55c,90fe7cff,2d010a00,887b3b01,b2f7a074,fab7f5c2)
+,S(7dac2ed5,fb52b60c,35c7cde0,c28617b4,28672da4,5fbc21c4,b24c5268,54ae4f94,cc6acc7a,e9168866,70b5c4a2,bd2466c2,f6cc11b6,d282b09e,a578ee0f,e7794038)
+,S(5f46b64d,da61f59f,6b99d10d,e9291a,887e5d9c,a3893ea6,f7c51cbe,e56083ae,6043d055,da252655,506dcfb9,c5572929,9bfa6ba,7e1b582e,5ee1f3d9,e283a8ae)
+,S(8863ec33,b6a25f21,6e641ec2,b8c5df0f,48ef0fc2,38a7f635,175961a1,7de14aa3,9d6618f3,1e52581c,2f829277,7490655b,45b2a583,da0ff7a1,17dcb12b,eb42541)
+,S(85403446,3ac459ce,6d8184c7,ef26f91f,b377f3f7,3e92ea03,a1bd6a68,33a2f9f4,2d1f1296,8ac56499,b252a5b1,8313fe35,8f7719f2,3b0c9430,438f7278,c5b399cb)
+,S(bf6b3f6,217e412b,fe651dbc,362266b4,6a325d27,5eb7f201,379cadd6,5e223c7f,a1160954,c14aa455,fb041e7d,ceee3ded,ebfad90d,6af1beaf,a9b1aef,97ba748b)
+,S(4b20202d,3c186135,4aa079ea,409aa4cf,860ca219,8ba1bffc,77124e5a,bed9e59d,9f684503,c107c0b0,ba5d858f,2f11d904,7703eb45,510602ba,b555e8a9,f5b8873)
+,S(4087f880,6d679a4b,3a24f533,127b5931,99c050f2,627cbe28,2686a5aa,6421dd2,4838ad84,b3d9d488,33c8c883,698f5a59,69880041,589f921b,5a5707d2,bd88e8b9)
+,S(15a79287,cb2e7406,a2db91e0,5a4fc34,53877504,c790eac7,66d9131a,fe97b79c,9f4ef322,76572e3,d3fce497,c2c6160f,1bd597cf,b96a83fa,df2a41a6,b94a238a)
+,S(1c4fa063,c0524bc4,ff233d61,bcb3d40a,404fb10a,7e222812,2739b343,e3bcecbe,2a8561ec,a2d82eeb,97209e9e,bd730b2b,d39c90b2,bf4d0353,3aa8c73d,62d48bd6)
+,S(a0708ba7,43c1b2c5,267936c1,85312f2a,bb50b8a6,d4886c26,56d163b5,adf2a636,958f45f1,916988cc,6c9b8155,12e1d2c,7dc66a62,359a4324,5845e94d,371a20ea)
+,S(d7960b4d,f01a42e6,e109d71f,2e33ffd,9b79754,b129a858,c213793c,e8acad7d,8caf19aa,5a841d2b,61c3d0e1,dc65730a,33566193,63118707,d81c1e19,dbdeb920)
+,S(7a03dc6b,f8ba70d5,96e25ba3,8fca1b32,a7c4506e,6e8a3789,daac3240,bf8ba611,70f19e22,292d6856,5a63e378,b773e170,48a3681,d096b881,fcb84a4f,7f7d9028)
+,S(53a9a662,a8fa3411,c3989850,c6c83aa5,da516ca0,726fddba,c2f38f25,c7443b97,5deac250,6179c31b,f313279e,844d1e5e,2adcfdc5,b803036e,140ff59e,3945e25)
+,S(86b946b6,3dbb0d86,ffe69af6,3c1bbaa9,b7ee99b2,876836f2,a450d9c,feb2cdf7,44407783,d3d0e2a6,cb18ea1b,a1e4f133,7cbc39c0,19997a62,ed74b598,f74b1fa)
+,S(ce81cf5,cb884b46,f6956726,20d2423f,6b28c8ff,ba71d9ba,bef152e6,ef752d8e,75afd973,8120644c,349bf924,c04c1aaa,979177ff,2890c926,2d0b5404,5ea9248c)
+,S(41106e41,3a464d2d,9f86cb9e,47d57d47,7b791d43,133a2b8f,bc6ce92d,e1172ed9,e2ca44c2,30e920b8,5601a2,773a0f88,2ce4e42a,7379b374,d2ec6fa1,f76741c6)
+,S(e9c1f2a0,4e830a12,e546541e,c7ac6f6b,bca3f1ca,2052c152,4e141b4a,20b49777,51df3843,8dd12c2,29973fcd,516712c8,5ca73721,f5d50308,86b91f9b,32a58124)
+,S(8bb9e12d,c5e8ff3e,4ba25775,f1552e3b,9be21f27,4250d511,fce5cf15,e73bbf2c,8a822b7a,273c3730,1c24fcf5,c19c4de,b4d0968a,bc23962f,91ef11a8,d00d1152)
+,S(b0058ef1,da227791,e4694c3e,ef66e031,697f3f3e,297d139,9ad597a7,acb6bd0f,7f5bab4a,5793814,d8c0bee6,8ffe8025,e5deb644,7d2ba978,c805b2f0,be205a2a)
+,S(1dedd42d,8df5fdd6,52e02b78,4dfcab0,6dfc3557,4b8725c8,db95368c,ac2522a5,3055a449,23730d25,18ff4a8f,983b61b8,24b918de,f357654f,5b46559e,b6bca540)
+,S(761a5248,c6794ba9,3f45b0b5,12bc39db,e471813d,9d5c5f7d,a46f2ef4,380ea544,185ded30,c4f5ceac,5e18d0a3,95ba8ed6,9f703408,5fad1fc5,c60d10b0,832c1292)
+,S(f1d5b60,e515d0cc,8dc20982,a13c1b5b,a1749687,501a4f2f,fefab898,e3aa5caf,55fd766c,395fd8c2,173a9e4,8eb63f07,ee6f9ab7,54994708,e42ed9cf,78a0d91d)
+,S(569cb44c,9b7900aa,576ba0bf,61c4455a,fb09ff4b,c30242d7,fba993fd,bb37425f,dfdeb8d2,ff1ae3d4,1e78f646,ac7dda3d,c1131de8,e2566d0,d3340272,cc350b1)
+,S(3e59b69a,d99839e8,51947a78,7d8f850b,9c2dda11,7dcd0776,d22c787c,ba1851eb,732cd2a4,8bfeb030,6bdd9358,37ec4f27,7050745e,b2c9f6d4,34cd8834,592e20b3)
+,S(a46d6621,7b45682,98250240,3fc0886d,81acec57,32c3087b,e6ea4c4,95296967,140cccf4,29a5b062,24097a73,f9a8208d,46147884,e6127464,51acef,b9763d33)
+,S(b920e59c,f25c53ba,7c00c427,d1575c9c,4ad70efe,daeb7927,74d16c46,5079ab1c,606160f1,d4ba888d,1d5435a6,1656b937,9201ec5f,37f585c9,d43197c1,f045b67f)
+,S(12cf1ae1,e7d837b9,eafda1ef,db270db6,3b88b6d9,8d05c713,896e06b7,f8bfa8c5,e0d66613,181b934b,9f23d7b,e9cfd8b3,c4c1d66d,485075d9,1e8cca69,39c99c0f)
+,S(6aad27ae,a4eaca2,e60620e5,a328154e,eb93a900,be13a302,87ff39d3,8dc0ec1f,932155c5,caa21539,e27e8cd2,dc57fd7a,d4681474,342c0811,2fe626bb,94a1f46a)
+,S(134cd94e,7cb166be,82b48916,6c06c1b8,8d168bf9,21f75c36,ce9343ec,acf870a0,42a673c5,e956fd45,e82a51cf,ff09a399,2f7c8fe7,e73d14c0,fab88c3b,9453236)
+,S(d5dcd58c,7b7cc786,8c42971f,a1c85cee,429b1d18,dca68e2c,56d9f5b5,5a3989ee,e0ca4130,ef1bcae4,ecda0529,7a338bc7,45bedd0a,f0bb75c5,e316624e,21208100)
+,S(951d6534,c344908b,905fa4cd,b691f33b,3e3567bd,1538a861,f66ac9d0,e0d8c8e,eef35922,eb847928,6681a990,345255f6,95a5f691,9a7d79f9,d575f306,ed7046f1)
+,S(cedba44b,25f7964d,76d84c9c,9b521156,690af0ba,966ede27,b33665cf,c1cdd0fc,806a9049,cb8e9af1,d187b6b6,493316b6,187e7124,91a8f7d9,4c21b79a,87c79e7e)
+,S(4ff03660,d1306bee,29abd39d,32beca15,d1c7d2d1,14492a20,49c6f4aa,d8a10b54,c2c75e69,8fd89951,e36e8bc8,be71f689,4990f25d,d2ff1893,d99e2773,6d1e574)
+,S(c08bd508,8dbd6465,e87b7702,dfb7200,c78061a2,683b9824,389042ce,ce2e0ca7,562019d6,1343497a,b1640884,23a9f171,1db329b6,8c63e78,41793255,f88d7307)
+,S(48dfdcaa,6fd2ceb2,3b85cdd2,28bac318,955bdda8,274a1e3a,7afd5db,4bf9857d,2a46622e,896167ba,5154e76f,ce429554,af60f4b5,1431d171,d55ffa2,ea0287ce)
+,S(40420900,d81af883,cbf76b47,17025382,802c1479,a33a3cee,bbfacff3,16a1f236,866044e0,dbbcb53b,308f50fa,2b54255c,7831e96e,f19e1b4b,e4168d1b,7b85e3f7)
+,S(96a3747b,23b667c7,70ec2018,4e99208e,ec1e3142,3b1156f,8b12f37e,322bdc42,67b0b3c8,df8c4647,3310b04b,ad325d6f,dc7545f4,a4a07af7,98c7cd86,3cf22ab2)
+,S(cf07017d,e4037969,24361f0c,b151484b,f1db3e91,a8d16784,5039132b,c8460182,b7a1b107,62f29e30,d0f6e762,f6940638,e2eb60c9,e65ad067,99b1bb39,3797939d)
+,S(12b5b8b2,5b0bb6f7,ad1b90de,d75fdd5b,93507aa3,dd7276dc,805cf5a,218beb15,5d3d4767,8cefa19b,80ed6368,d40ca199,5a5bc165,b3609ae,e89b56ed,b78933da)
+,S(879b449c,e866e6d9,3998b9ac,e18b6f19,77ecd299,bd9b727d,cd99c37a,13a46765,b0c480eb,758cfb12,acf50c4e,91a8d9e5,f0c45215,f03e6bae,c6c13a83,63781c63)
+,S(2ec48783,e9d3a01d,d1fa401d,d3fef249,e502280c,cb36d21d,d2b7b90a,cc7dead,fb029124,78f9e2ca,1a5e6150,5eb469a2,83fd8f81,6798703,ca2f0c7e,85a67fce)
+,S(79cca258,27bedb07,39fe8fcd,2145956a,5b7878fb,bd873a83,aee22093,437c3ce7,ff488a93,d82e8750,14cb7c48,3eb74b30,bee990b2,2c1915a8,d3381cea,9cac467e)
+,S(c444a4ca,3d2b8b7a,826b9eed,40616aa6,8e146a80,d49a9cd9,3e93cdd5,5adbd207,4d1368a9,63d504c2,541ae338,1ded0684,ac00ad0f,b8fc3231,9d1fc273,92d0f18)
+,S(3ee47c50,cc0e44b2,5864e205,835e8d6,dbed328a,60493c26,7ee5529b,cff3e7a8,fa555339,56ea87b,c3249640,145e243c,b6229a30,3d1b91f,84e1ca9e,90a5f095)
+,S(e963c987,3036bb7f,422251a2,9f9b0f47,8e69e2d9,2d1920a8,1c012d7d,c809980c,ff95bb0,779bbf2f,1242bfa4,880b173e,140f92d6,c7f8e5e6,18027a3c,55c52fd6)
+,S(aaf6075b,b6a1b8b9,afe4b747,a46fa394,23738e50,e686c8bd,3f711cc6,548fc07d,4cdb0aec,6d11ca1c,1e85bd16,2eb411ea,53ab326e,bbdf898b,1bbd5219,aaf2b0cb)
+,S(691e4817,d8e9756d,8e174a18,d5d708aa,842b44d5,ea921298,6e4c7585,4157ac0f,9eaeba0b,3bfa7ad7,80d0eb15,72f92873,4bb9a8df,29f508c2,d1ff4076,a0c0c222)
+,S(c3e6fdbb,45af4a48,941c9d4c,583dad8c,c77dbfb3,1caf3fd8,1d9e087f,e744996a,ca998d1e,65ab29b8,fee07bfd,1ac4e979,b869474,b5498a73,e642bc9,608366f2)
+,S(edbd6320,a55d25cf,21f2630b,e7c5c996,923eadf8,333d386,8cec00b3,940701f,d65192e7,afcef5e4,c88cd12b,fe28f94a,5e3d3d50,f6b2c3e3,f7a14243,4de4889e)
+,S(c959ed83,a80ae0b8,ac2fd249,43c37412,b29684ed,9d4d85da,d7cb4c34,ea95d336,80c1dabb,8dccf252,ad8b0e97,25970c1,4de5f58e,12f7e5f,8b59a2e1,a72b168b)
+,S(778cc574,471004e9,d88c9022,4d2d5cfa,2c5bc6ed,da64a312,74e3df83,3eed9237,eea23d31,6b2a1c02,7b92e502,db921d9d,675720fe,51cc3609,46b2dc93,92916c17)
+,S(a1f87438,8c3656af,43f299f8,1d98d2c0,173e7e46,d3fbed9a,5c2afc96,63b42055,10bc8443,820d6c5,b3150e79,b9936785,5d874afe,dc72a84e,abb987a7,d56f4afc)
+,S(c8ad7f0b,2d5f8b8a,cd9a1839,c3d043ee,8f7fa583,7540f6a3,d002091f,68224a5d,3018b580,eebe5b9a,2d1507cf,18a7fe4a,2a1cd4b5,1157dec3,8e65f191,c7aebf8b)
+,S(c25d5264,b93fd7b,b7e4e426,1ae767f7,1ecf3840,a2a7ad20,bea810db,4820055f,fa15c8c7,6e3f2b0f,a29fffbc,eb48ed32,bf331aec,3a147524,c349e8e2,465ad684)
+,S(d0b972eb,7e4cbfad,baf224dc,cb2d873b,28316877,88b5f2f2,ccc62bf5,e978f92b,ef5d3ca1,606a5852,aafbcb4c,f23e787a,75610b31,8420bf56,e94e420d,f7ab8e3b)
+,S(f8b44c83,58564479,6448791a,b98132b6,d393e851,bbc294ab,56c8042b,1b0a2d07,c28242bf,42040be,e9851362,fc8e764e,2dbe0c01,d5bb0ed0,b8e1edfe,e870a27c)
+,S(e7cb8901,6f72aade,39410adc,12fd1234,5d942419,51a6d36,8acb7c83,da5666b7,de367522,46b6d9d7,efd4ee6c,53a1656f,f0c87e80,cb0f8f63,95341c35,d6b21697)
+,S(8b2128f,14e3f4aa,92e89478,64c5eaf5,f40f93e4,95cce167,fb2c7424,c279d87f,e7ed384a,f469b4b1,1812068,a830303e,699926d5,b8304c11,cbeb0e49,cf5d246)
+,S(f34db5db,3cbcd586,38b6a5f3,ab5b31f4,1f3f631d,785e8317,658408f5,93b4afb,dfce7372,bb2c8466,fa31a1c7,4ffc1ac4,5bf11263,4c98ef2d,56e30fd5,c3dd3d9)
+,S(c3689e09,a445d685,daca48ea,bca533b9,10b4fee4,dd251c86,a965d5c2,ecaabdb8,7804d05a,6a263fbb,c33efbe4,f4075d1f,d62e187e,3a5917a1,55c1f22f,1679e3f4)
+,S(7ff995ec,f776a10d,7a66d62,6095892f,f1e47d4a,2b47ca78,d708a0cb,3f005cbc,edcdc774,5f17e430,cdca4d11,56d08288,e3911d0,e92999f5,cd5c5eac,ca6ea90d)
+,S(3662a262,62234bf9,69b18351,2423ebb5,db78bd6,1cfca8e4,1c0253ec,427d4d27,88a62042,f07e69c,f40f671,ccaca36b,d550ef9b,79b4999f,c41cabac,1c2e1b09)
+,S(2c127c2e,6d9c42e,970e66ee,24a07388,b6b4ebe9,1614b951,1763b414,3f54e8d1,a4773eb8,dacbadfa,afa26c8f,f4adae30,856be023,6022d93a,aae59c9d,fdd6629)
+,S(c420ffa6,116f161f,fd94863a,9fe30b7e,b7dfcb0b,8cf9acb3,7f6d6515,4ac17802,e6cc469c,25c68f6c,8499e9cf,95eda8c1,7fd76d97,2ee8fbc0,79b143b,e50a028c)
+,S(77896743,220343dd,58c2f06f,d3217468,34d386a7,e7fc969b,50c77847,eae3de0d,4350d59e,4408dcd9,710bcd7d,629e92a8,cd906759,627921f8,57054a4d,21fd9369)
+,S(cf7ea42c,1a14dcb4,3334f9b,636ff0f7,7147688f,19133c83,dc127139,349f5827,b9c02c80,166bf9dd,139c2846,895e4aa6,ad1a689,66460a29,f8e951dd,d99e6d9d)
+,S(d1793439,ab1fabdd,ada8ab1b,33c9f96e,417b1c84,7f753630,9d815fa5,a673a91f,ac13d659,3b5941b2,3b19f6f7,f9a67d0f,b429add2,5a40d05f,9bc0d1cf,ced3b3e0)
+,S(bb1568d6,727dde70,c52f5863,133dc9e,54722577,4a74026b,e9864f02,9e92b420,b5654756,268d74c6,cc6adf80,ceee29c0,9e137d2b,e15aafe7,b170c95,22af3992)
+,S(732912d7,83e8a5a3,a7468177,231ba93f,ce07c42d,778dc205,35cdea7a,db877dcc,d34b8388,1b128d23,e68ffd7c,29c7a945,1664f5d3,fed3dbab,6f78c8e,77df80a2)
+,S(c74f0f71,fb8532e8,2c3e1865,1684d3b7,4927b6dd,22504afa,9084688c,7297074c,9da5ea61,c0bd178e,8bfe5a92,dd040c6e,35984bd4,1102806a,53a9f1a7,bd006ac1)
+,S(bd4fa939,8bda5a0c,5a4e9e49,43060d9b,1785a613,3c970aac,91fcbc68,9e3283b0,631d4fed,b6614b49,459be1ca,ccbac0d6,e79cfdbb,f14de95c,5d2a5cda,30e433a)
+,S(9fa65462,733f13d3,2483e0c8,15cb6bd3,e9bc2d79,7b89ba72,f2465c64,a341cc8f,7051fc5b,afc5b18d,748ada32,c4a27151,443505fc,2f14f130,10fa02e2,6a12db04)
+,S(eaea6f7d,ab3dbf1e,816434a9,ddbe53bf,715168fe,2c1ebd4a,6cd40744,c35e31aa,b96962c2,4f202b96,c2080619,ff4ba905,a594b9b0,1f709e6a,76a1a7ab,9784d61d)
+,S(b3df7ab6,3b947504,f33e6d5b,7b8e2553,9a117c8a,497f8751,6b97bfc5,3b17a2fc,72df7500,a35ae6ce,d6fa6265,1a759dd,f11f00ea,9152a5b5,ec51bbc4,9d758b9b)
+,S(ef875ecc,46da48ae,45619be9,950e294f,4341df09,726417fa,3a8d1ac6,c3281bbf,7ab9e204,af4c05b6,d6d0eb6e,8306c987,51ced2c2,b9e8dbc2,8a642bb3,7f1c72f5)
+,S(74c3c446,576a8a3a,5082f234,afca508b,3d748757,4cbf14e7,fc26f36c,70024fdc,73d57916,4ddb6fa8,72dd2afb,f9d8a307,b6ccac9c,94a4eae8,8c4fe8e1,dc136506)
+,S(959c4b2c,409f2e3e,6c020493,33ba2f18,c06b7182,5a664e1a,cf33846d,cf39274,17cab35c,7401629f,b73cd398,dc5bedd,d319919f,1a3995d9,45f42f68,2c9aad47)
+,S(404f0dd6,94195313,1953b53c,67fdfab7,f67c24bc,92fb4d69,a9479a9b,6c9175fb,857c75e7,f40a48d3,ab156085,1d42b037,7e7d3e79,86efd570,147917bd,f24d87b3)
+,S(3e040511,233b0f5a,53df4d5a,b0854137,2db4ecef,170b566,807c4923,6ce82075,f9337271,dd443843,77a35ebf,56753b22,1fda08e0,1b790e02,b9603827,600df3d3)
+,S(942ea853,10dfdc3e,1f7993e7,47bdac04,ecc8692b,94847bd3,e044cdf2,2cd77e6e,bbf2f7c8,e688b6e9,b4510bbe,58c41b1d,f33e9afa,5428ce51,e02e624b,9ea155e5)
+,S(1e577a74,9883a5fb,85593809,7d0180a1,dce21791,e10b2c0a,3fe6cea1,cd03b532,a147662f,856f5e15,dba53000,7278e878,7b575612,d5dcd790,19417ec3,ac41c003)
+,S(ebc9d95a,8a237b64,212e9dfa,607fe4a3,7a05fbfe,7c5594c8,ae472c4f,6ffeaa5a,39406dc0,e311a47c,cf15fb45,8f8b48d3,8fec2fd8,6b4afc05,b1747957,e7f1162a)
+,S(c78eaf60,1afdfc20,2123d228,8496189,b9081637,1fb2c475,2773faf0,63cac063,95325b1,e0c22dc5,df6e84c5,16d396f9,bacb42cf,6c1fe9c7,6df83b3f,3eb42de7)
+,S(b5918719,a1d504d2,b44a3d0e,117c2798,4f2e536a,3571db8,752685cf,df6d34a0,9b01e8cb,585cb7c8,fa29828a,ac899050,16beacb2,5e62ea35,6d54e9a6,18184abe)
+,S(8706a73e,b59fc9d1,92907dfd,cc6f75b6,454f1045,4a5e9584,bdac978e,8e0042cd,8b1b5f56,6f1f78d6,f528405a,2b6a87e8,4265e2dd,1e34c1ce,7109286d,5bdc3a49)
+,S(93e9256e,4ddb4bfb,6f4a9289,6e2ad04,793e5642,3a22230a,e645529d,712d6ca,83b242db,d9b3dfec,3640ea62,f0e3989b,d874f247,90a75cd6,9756a8ed,6eafdcea)
+,S(2dad49af,8702f39b,cb353956,a1d5601b,a24fffbf,58ab527f,e9ac6ff9,ea2ac295,b5af68b8,e6040762,55c0704e,2cace8c0,ed403611,40dc02fe,2773a625,27e4675b)
+,S(5ffc1899,4da42fa4,54962719,5ebe332c,86a2c364,f43b14f7,59710c54,4f6950a0,22eac0a8,79815faa,220e6141,9db053cd,4542ad2f,9ba9f63f,4331ad5,c2c9bb88)
+,S(71be09bb,1832a799,c4e21bb8,a2bb5ad0,324c639c,e6e62b6e,69fa60bf,d41c51ba,c5227fc5,719a5b8f,28c40767,b54eb249,950588dc,c15e1656,e4ff238d,54dda472)
+,S(4f94305,f92799f0,a64a3cb3,7df2bac4,56d661d6,44568277,bac0ed6,6a587212,4c48691f,bd8683d6,b94ddc7c,ad8d1d7e,6baf796d,6d00f344,511fc13,13c054ab)
+,S(55ef868b,6fc2923e,e624fc09,65f61852,b3aeb38c,e2c6b3bc,54b86b3a,60f0ab81,ec198aea,ab16b4cc,5354d0ad,c66051fb,76cff6df,22dc1a0e,72ce6e79,1622efab)
+,S(26ad5590,46e19dbf,e60953e,d40a3958,a357f6bc,23642279,cbcc355,74fdab68,af6fc5ef,906721c0,553c6a74,60bc6894,e5bb77e7,4dbc25e2,184fb3f0,fa795508)
+,S(739fb43a,b1b07155,39c0b0ae,43901bf2,bc051a69,8ee8d503,84fcc1f0,ec37312a,c1223704,3c882226,2d4abe33,1de6ab4d,ff90d6b8,4c0b59e7,a193e763,6c6b7e28)
+,S(2144649d,508cf5da,a7b422f8,22e9125f,d5a10965,a9d32c6c,c299bad4,6616771d,1153178c,e33c445,f03ef96b,35067ceb,76ddeaca,d9ddba1a,74acd229,d01ca76e)
+,S(62cc463c,16ee8e8f,16ea8517,5508278d,4d5577e3,556d3580,ec8d90e3,bbb97072,cd294843,e299c500,846a6c91,c913395b,56b48efa,2f9ab3fc,b81863fe,8a6a891e)
+,S(1196301,33edf190,d14fdb00,640f74cc,4317e1dd,b9dff1c9,707eac33,53ef9c21,f16ab4e5,e3a3ee6d,74385187,6da07034,caa4f519,6106a0c8,3136d21,5420494c)
+,S(b250bf86,3fdaf93f,28f15bae,d9555287,777d4e34,2673c16,2b4a6319,2289adcd,295c05be,de343d28,87d3543f,6b40d5f9,da1e06ef,39fad6f8,28ad5ac1,39b3d2c1)
+,S(93a40bbc,ae584739,9f10945a,72c199b1,27ef008,14e87e69,6f4f46f6,483e7c6c,81ed70c0,29809674,f5f289a4,5926864b,f088e2e0,af66173,89fe8cbc,aa858a09)
+,S(b9e6761b,4e909d75,b17e76b3,4e9825e0,19ff7ddd,4faa9f90,eff8c0c0,f60978cc,640c1503,5fb91270,8881b70f,bf2c8575,65c75e3b,c98d211b,76279090,7b5aa117)
+,S(4dc22812,fe3d9ba4,687e260c,f5b2dc08,ae454751,b022b9be,ebf4360d,10cfec24,9c35ef4a,56858135,552e986d,a4d68056,27f0822e,43031c43,5b2df5f,7f9a90d1)
+,S(431276b3,1127f9c2,406b94ba,683d2d3b,e198e225,23663540,9348286c,4c9deadf,2265ed84,c7f1df86,4b46280d,ddc8cbee,c26d39c8,ddd5b743,13938c4a,e01efb3e)
+,S(75c5b6c3,c99058f4,2b4b81d7,6cfaa917,328f1736,b8788360,aa810acb,3683632a,549f009f,def17b7f,70a309ef,49a890f1,4a5aaa1b,a80f0464,affdb5c5,a8f719d)
+,S(3c900027,205af742,976b1a37,7a4801df,26d4d4e9,12ea757c,815ef99d,cea827d7,e28cff3,37eca7de,2387fa7c,339dab2,7a2446,fe7184c,83c578b1,8649cc0)
+,S(5660f31a,3676b95f,9fa8ab0,d5c23f30,c89637bd,3a8ea97f,3a87aeab,3310d9ff,d6069cd6,6bc4ca0a,7d892ff3,e4d9aff3,955bb76c,2ba3f839,efbd786c,b11c568b)
+,S(2b8b68a4,1b45dc86,7f7979ce,5b71d778,e6733cd4,79af6f61,8cd786ff,5f3babe9,7c831244,d5441b33,c20923f6,3ad9a093,840f89c4,6c1421ab,40ac52c5,8de4097a)
+,S(8635004d,b817bcdc,4b357886,96b3fca0,1d369d4b,303e9290,44229cea,89c18610,2472da40,2bd46e6b,e2f84cc0,5158da1c,7e9f3512,1fc4b00c,4c3ec329,6eb909e2)
+,S(6c991a6b,6eeb4f97,9b7afbde,46e1eccd,b0d39d03,dc64fb69,3a56a234,88cb28d0,1e5df74f,c2cd6350,50277188,d3eb4473,e0b753e,4cd41372,2bc119ef,65c95620)
+,S(acdac19d,4283cc91,b9698ed7,e92288b8,554569a4,962ffa0c,a52a197e,9f41570c,fa536d87,523c8541,f530c6bf,e71742ba,451d41a6,f97d9afe,ea03a520,c6d7b66e)
+,S(b1496ba3,f696cbb9,548b107c,3d28a7cb,85bba7f0,aeb50abb,a3e2a596,465fc6c0,77fb6cd5,727a4a6e,e0fc8f8e,ae807827,487740bb,ff5cc57a,8572ef3d,c86318ad)
+,S(3fd97db5,6098e9ca,fccab31,d6d128e6,c2c9f878,adb07ec9,4d854034,d9b09126,1bd77c36,1494e374,fc45127,38b246f7,24e37d4b,27e14a2,2c0401f3,222b4578)
+,S(5e8df855,f2a468ed,5476d5c4,409c7cfa,eb174cff,ad793338,8982ae2e,c2aefce9,52e73a82,3bb8ca88,a0977184,38701841,d50da8ec,c46f357a,17eb8cb1,36a6845f)
+,S(99f106eb,1417cb69,e95e6fb0,a0fb932c,62021a1d,b940c661,3f814086,c64672bd,9e7fb038,e1e70011,6a926e6,a1c27fe5,e484d843,d184d533,7e9825ff,f7a6501d)
+,S(686fc498,5526d87f,fd11d686,4ff0e208,68bb14fd,4a5c71f7,ac43063a,7e51ef8c,1d28f532,d793af85,bc96dd6b,2e0f23fe,4137dc5f,5b3d6244,22f60919,44588e5b)
+,S(cfa5df56,cc450bca,914f3a85,b370f864,e4c83600,560bfb20,93df96bc,bff6b83d,cefb9a46,bab7ffc9,1b1d96c7,48f81706,61cf56f0,264e203f,78b05f3b,8d37604b)
+,S(991b6b4c,3fbb9693,f7641eed,534e7cbe,8937606a,962a83e8,b39089e4,713e404e,3ffeba6b,be556688,d3b8a0a2,f4b92b8a,98dab79,d5847c71,13bb60ee,be3f8d3e)
+,S(d104c5d3,b9b0121c,58a1fa14,f226c513,2955c4e3,56938bcd,6891bb92,13c8c0d7,8c8399a,814d7cfd,32cea21,85c77738,91ddb00,a091196a,3d90d056,b0caa6e9)
+,S(76192853,a45c3648,749c9a40,719424eb,415a06f7,c74b31bc,ad93194b,e355dfce,31139287,3cbb5012,d7ebc934,52613c62,b5517b37,91475ecf,84ef3745,324ad2fc)
+,S(173304a8,509c1f4,c05b1de5,c51093b2,10c7f9b9,81a7d6c8,8059fb1a,e5070725,43bfbd98,c8e08394,543db2e9,c692297a,800cdc8b,398c13d5,f9e21f89,341d353e)
+,S(aca057e1,d28c5514,107f5b6a,9e46fc95,9eaccaa8,b14d4c4,6b7ae515,bda104a,e17f1717,70bd76ff,18095be9,a4b72b8c,cb00e6cd,23f6d702,4dcba433,e6bf6ce8)
+,S(fb202550,e0098fb1,c30a7385,900a7dc3,85b2945f,60e6eb04,b7e8489d,3476dbaa,1aaf8420,3f72c68d,bd3bc98c,77f473cf,cedda922,dfc3c996,45e4f565,ef9a0f28)
+,S(e95b710c,a0227ab8,e5b66c66,c2958be3,af1aa298,422c501c,8f879bc,e11ae7ac,e645f4e1,ab5cf4b7,da909022,cedd01f8,c745a968,d9ca30a2,c5525d50,9f97cf19)
+,S(6db4525c,3589bff9,605cf203,cced45ff,ab136c6c,ce77ea15,14766f3d,e844770a,e6b7f403,f5f7584b,2331d295,82c0698b,799cd7bb,3c59c903,eb5d6848,72658c81)
+,S(8893aa9e,49daeae7,15fc2959,e4db9c45,1690438a,6964a2c8,fbe73133,35085eb3,70fbd83e,ae803f3b,6377a4b0,265f62c9,bd15cec5,baec8c10,d01c7094,e5987cdd)
+,S(be57f6cf,ac6e8cda,871e3ece,8aa78bc9,2cd9e2c4,8f3adfd5,6e39414d,8e0207a0,78170872,99abf89c,fdcd141d,899aa7ba,8893eedd,36bb3aa1,58120f2b,ee93d5f2)
+,S(77fa6d2,85a01129,c5e05ddd,8d02b5d4,a2f69bf4,5a9e7562,6718cb54,20b34925,315bb23c,13a3d218,ce886288,ec0edfeb,37a2da99,e017b97,ce04db45,326455cc)
+,S(2fed7bfe,8414dc33,62c834ca,767ffb0e,61094ad,978ddd00,b2ea09b8,d1f4dc03,14e5e8f7,aa0b3d31,565e434f,11c61b,63332a60,b6c4cff2,a6de2c5,98117e01)
+,S(9f4c2cd0,5a871ba1,fcb43df2,bf03ee3f,7f8af242,ce8ee6a1,1aeac89,b4d66c6,eb421f52,f2427887,8ff8a2ab,dc384e23,d0fd7df5,fc341acf,83bc5940,be922920)
+,S(53c0e0b6,824a04cc,b7203ef6,e37383f0,15f0a48b,bbc1d3ce,7c8fa7ca,5dbea647,6a9b598d,9246ca1a,539729f9,be809397,13c59d5e,105a8e91,836fd3a1,4d618cf9)
+,S(dbc0cc82,d7906b84,b6b7bba5,433d68eb,bb20fdbf,7b4eefd5,c0a3ad8a,ad17d714,5ebc1f86,23ff2c3a,6f81b090,4e5e6338,8aee42e2,85306e37,a4fc7676,2dcd7211)
+,S(7862af32,a3c08e04,7b1a8cbb,8131d55e,ca93a478,40c52165,af20aa6d,248f5f0b,bb5f6607,6b10353c,8a367a64,587b3bf9,7e8c272e,8da92684,f1efdc33,8bfc15d8)
+,S(d3571fc,800158b7,6ed2bad8,15c93b1,f8238fc9,b8753752,4e44c0ca,931049ee,162dc9e8,3e6630aa,9d0872fa,915af449,70a9e6f9,526bf15f,4d26bc74,82a44bc3)
+,S(a851c894,cebbc758,642b98e5,5df3584f,b9f531da,88faea26,e908b0b7,88589d9b,74702d5c,adfac1ef,71df3898,3ae433ad,1e1af1f9,b5fae0e1,151258e3,b375b422)
+,S(a92e43f4,12effaa,e0978a08,cdb2e885,2d9af1f9,1f0931e,972016ce,da58012d,d8f5a09d,5560170e,b35d7bd1,28252096,535c687b,23bc13c6,bb903b95,d02fb668)
+,S(75cafe44,8b4369c8,42e658c6,4760ecda,bb29e129,d283c24c,9007fb5,f3cff6bb,ca0e12e2,43c73553,1e2affab,51d4738a,db1ea5a2,fba215f5,3c9477b1,b55dc39)
+,S(ab0066,4db959ec,2f17a233,78023b5a,c48c4177,7b6e6b56,a2148453,8c41d006,8cf9e2fc,35545169,f46762fb,940758ad,e3d3387d,eb72e9b7,b5d37175,9f5d8b31)
+,S(27510ef8,2e4b2134,180855bf,469d1f0,f89b9afd,573f2781,4a1bea50,9db7ecb7,20fe00e8,86b54c06,1fe07355,5be99fd3,b0a1b20c,dec68aeb,90055c34,acfb87e1)
+,S(773ff5a8,d388277b,7921405c,99c9c207,f4a6c2ee,3b59ac1d,7452c8ca,4db16d3a,cf45e631,f51cc65b,afc806bd,87318e3a,f75caf,3e734284,8d7435be,f8a52f8e)
+,S(2f8f2c98,e69ebfc3,b7277e35,9da1a8ef,4293fc37,2e24386f,e14cc455,1ef45746,f85d23ec,c4dcaba0,23c3e406,604aaae8,8150a6c8,feea2c36,42ccad40,9968ec06)
+,S(1878acda,ab8dd0e2,a0884952,26356ce5,74575678,64da41c0,61a83de9,6277f67f,412c868d,64e092c,ade96f05,bfa48af3,ecbcc128,e6d09bb,9684565a,d5477020)
+,S(8cf281a,eac4e4e2,7ec4f3cd,d1373f62,c5a17b0f,49cf69c4,cad8c4bc,4f5618c1,2f17f995,29c9ea27,cda3911e,de33029a,7dbf09db,64ffa625,cd9fd86f,29ed5973)
+,S(3a597c9f,f165369e,5d90d191,3dc2aefe,a0957936,717f1ec3,9ea20698,d08939f9,8c2203b2,90c9a2de,5b464b0,988e07,a7b48c86,f5891926,da462b4e,b00a14d4)
+,S(cbe3205,96f10ff,5de9c861,55290393,b9ceec90,bbac68ac,5054facb,950ca15e,446cb06a,b76aba12,c32b4855,716001cb,9bf7c72c,ade16bd0,5472b947,4fee27f4)
+,S(4313c9cf,8224e70,18413b09,e6544731,1cde7100,5ee60bd5,3a8db041,56fed594,dfaf359d,d3045a8c,b181021f,9a025208,e80bbd4,abc4a331,7ab9d735,1b329a96)
+,S(cead2b51,f8d8adec,2d89651b,2da5ffa5,1f5cbfab,19fb7688,2bdf0faa,bf73c60e,ab2a2480,6992f0e8,c73e7932,2bf144ae,6dd3bda7,ed2d221b,f8451ca4,56a25897)
+,S(9ce75c8d,848762f,645164b8,45ee6eee,98e34dad,9f8be0e5,2d8f27ae,4a7b79a0,e0556d4f,e11ba906,6b97c04c,8b742a26,9f627559,b9163571,d0a29dbc,9aa30a05)
+,S(6024489c,621de255,f92106bf,8c23847b,10214b83,1d653a9,6ba00889,326741d7,950eb24,80a90200,ec932621,6b82e5e,abf63e08,6626faa9,b1fd8e2e,104ea858)
+,S(d3c746f0,108f6bcd,406c2638,c07255fd,1f55e1a3,c6845e11,546d22ed,5f08e51d,d124dbe5,d349c739,e641a776,c57ef3db,35ed4e1a,6ffc165e,25d0bcce,438dfab6)
+,S(a1eb5f5c,d85dc222,f97b9e11,e08594dd,a69c69f9,bcfa4c63,52cf2717,136514b8,46ed3d35,a393e017,76247ddd,7dda3ba0,ff5e3f76,30253b68,750a7c,f8a15fff)
+,S(2b24a357,fa3ac2cb,faa5f1c6,1c14147c,e4406556,b82c7639,721f7561,485a8736,d67219bd,707aad55,1a8fd7ae,d5721d45,ad192a5f,5d0b643c,18330cd,1bd73ade)
+,S(9901a1ab,9dc60159,63cc9cfb,42ecb41a,ab6a623e,62e9f306,126a4f6c,fd87b2ec,8f766594,17cd7f2,fff7a3df,6cb414e7,eb5950c1,ee265730,633ccd8f,f0339317)
+,S(311e8445,5890e2f1,e1d8e600,37d58c83,28a2a4e1,b21c3763,4aeb9965,8477e8da,cf593f67,6cc75762,a1b0dd00,f6703bc1,e017e927,1e61c829,a0459056,ecce030c)
+,S(905f72e3,97140f6e,298ad8b8,c8faf66f,122d27e4,6fee88b3,67a8ecc7,9e83bb77,c03f155d,bde9c265,d90b94fc,1b5b253a,2d98528a,a12e19b4,698714a6,f1b65257)
+,S(61df77a5,d5940001,2fcc2f02,199cbb4c,39eafd33,27dc85e,4a3f55b,a339350c,27c88b7d,de9b3f,73b0603f,2d6e40f5,f3664020,8d6dc05f,684626a2,d9049161)
+,S(e1f8e199,886d4b1d,5dd6af90,6eec06c7,de36dd4,ef026129,5bc42bac,5df18c28,502c12e9,b956eaf1,2865bc4b,ae7e6348,56a98db5,4c65a5e2,9ecf8ab7,51ca45a8)
+,S(ade2f5b8,3804a21c,7dfe6a7,7044cf96,9180e154,79a4aac1,9b686076,fbb8565a,d0d65e1d,7c8168c,308985d6,f5d267e5,98a9e6f6,45715eee,3751bc26,ef066aca)
+,S(c55820bb,154f972,ac345dd5,c62880b8,9f7f6b85,a1755b88,ea5821de,6f268187,911b0fea,1e6ca659,263b698c,8a17488d,4dc35f5a,d817e7a2,1241e56b,cc613086)
+,S(ea20966e,321020f4,53964352,b8ccc2d2,1285888c,152ddd08,9f7039c6,6c7778b5,c942f591,cdc81e52,6abdc9bd,643429c1,66f5476c,dde18d39,59e29f26,9f4fc18c)
+,S(3c57552d,9c2dfe5a,67301bbd,3e1ef84a,220c908a,8e80c707,9f9f4df4,607e2bf5,d49fa0ff,bc4a6397,3e71a0a1,7265ff65,6fd34754,ed508522,b9f0200b,e71f39e3)
+,S(f188ccc6,e1043ec0,59e8e133,94ada165,a3fd5c0b,cf7f071f,eb5a0951,9bd4e1c3,5f1f371f,e53e79d0,2d6fb190,8207649b,db045c41,a2fe1cf,94486053,7bfdbe4)
+,S(a0145fd2,7e72232e,8055a146,aa7bfb49,447112a2,d1ca53ca,d4835e42,c11c8c6a,7bc018a0,e5e70ccc,c4bb675,f0709cb0,ceb874bf,22c7ecc5,243e49c,3de679cc)
+,S(53400de8,c221153,1fb85706,b558185,c17b7bd8,b17416bd,9c93df80,f16ff48e,e1228e47,3ba565f1,e50840b6,a36ea970,2df87320,8a66a44c,89cd33da,41a6cc6f)
+,S(82115d2d,9d37e3,50ce3482,1d59af85,cc8960b4,52b99904,8c6c6674,ce64b1ac,98deaa09,659a0c24,4aadab0,3b9d1881,bffc1b3d,e9226f05,e75fb9ef,b61eb048)
+,S(273d8c18,53d86f1c,c49e6e9d,450dce26,8669cb7c,3083968,1fc17894,59fe7c3c,6c5531aa,8ad026c8,174c25a2,51efbadb,14974e1f,7f7f88af,2e16d101,c2ea00)
+,S(616e16,a7e38191,70e33f4f,bf428fcc,41e68ccb,5b059bfe,4036751b,ba5ee319,7dbcad21,182a3efd,b99173f5,cca99374,7c7dc3c7,3e8af2ea,ba84b0e4,f506748a)
+,S(6761896a,76a39812,1f773402,d033f210,dc566610,275f6774,52c37c01,60b82812,7fdd01cf,1b40939f,8091184c,8e2c8ce5,11848df1,a23607eb,e760782e,67302c9b)
+,S(77f7abaa,e97605da,12535bd9,e177b6b0,bd6eb020,92345fe6,dd4a6d4f,89e508b9,fb04996c,cc7b830d,fcf5fd19,bb7c9332,dbf20fa,10d61231,889e4b65,cc7f0b9e)
+,S(c12f6717,3a2e2bba,3da97378,501f9cf1,bc4b4a8a,67b0c5a4,a0d8caa3,98bce311,de930986,44d31401,510012aa,3b6cb541,97cd133,6e583853,a330319f,779a47a8)
+,S(6553a2de,19c7552c,8db9d268,ddf3a034,4afe8ffa,a76bb304,ee77ef95,c18e66aa,91a72010,7c180bb7,2af4dbb7,752d374d,69f95bce,c9bbb7f5,37377060,70edb93c)
+,S(f54b4be,353f4185,22e2e936,3400caa9,bba98023,e6a3d3ee,c1fc5046,b7b834e3,96be786c,bdd5f1f0,a835afde,219745ab,ab6f78b4,577d3a5,1246437c,8e96f17e)
+,S(c2d317c2,a0fa6522,bbc806e,45b4dc8b,f86be37c,4b677c64,c0d5b4b4,eadbb2a,c5710969,bd68cabb,718cb16d,fc9994a7,100f078d,4a3aeaf5,8e8eb35e,d313ab6a)
+,S(52a567c6,a5b8a64f,dc74b9c9,57f5d472,cc43e143,4136fcce,fe1ff313,1b89f384,332631bf,a314298a,dd45f7d6,b8192956,d7de27e9,7d835d48,5c16f7a2,9c9e8f53)
+,S(f7dc086c,891a4412,88543527,831247bd,3530f0f1,99b4c5e9,8d24a207,1dba4e20,734ed712,452e59ae,b0ef5f75,10485860,da055003,ff1067e7,b82de345,b74444aa)
+,S(954f9fa9,7bb6dbc0,cbed8d8c,de6f8f75,b3f2ae51,e512cd3e,90520d8b,22ec06c6,b65b43bb,8bd9660f,4bdb3017,bb4f8214,5426f614,8f04378b,f65c39db,185dd9bb)
+,S(20e69b98,41416588,20b66947,f775cd96,6def2dbe,416b545e,8188db14,2604e87e,e6514659,bd12b9b,35ae45a3,d43f6023,dcce04d,87df1f51,caa67f89,28632539)
+,S(5cde5b82,2dc42f04,44187fb5,33029577,71bed484,2ab39dc3,709e7c57,c72ed1c,a0f7bad8,64e405b5,94416e7,53fd6137,cea3dcbe,7625fe41,b4929299,a9a0ea9f)
+,S(b586cb4c,6ba6b0dc,2aafd03f,49d4d6e8,45b20460,5de71c34,6e73b131,fb26421f,ced613e7,c26ea3b2,a31de623,506afb86,6767b469,98bb116d,2b4ac9ab,58948744)
+,S(7d3f6170,35803a82,c8e13dbf,a8d601c5,4e192a54,377e4a8b,2a2a5de6,90ba6ede,138e810e,62f413c2,fb56477,80c0bcbd,77eaf84b,e78e900f,1969f4d5,2ec6cb15)
+,S(e7a314be,fc4af863,e7fe6713,5304ab81,c9fa32dd,80fa9b41,d8577ec2,8f7eb925,cd978600,f0e04acf,fa99b6d0,7da970c1,13ec94ce,c50808fb,91a44f4,80f3eb1f)
+,S(179c3be4,9f41902e,e21cd8e8,10f0dfc8,ba5fc0ad,9e454231,ec090263,d3c6a577,75f9f60e,fb9b9aa0,29eb03f5,a50b7e4e,64021689,a4e889dc,5b9ff0cb,4c9cf184)
+,S(10a55871,464bc182,b957808e,25754fa5,8d76269,5cf8c6f,e50610b0,91e6401f,d36493b9,6d2bda2c,e305c679,f906ba9e,99a787f2,aa8cb8b3,29516a3,41b56ff4)
+,S(4a903722,5e858c84,15508d45,b31ec7f6,585827a2,f3a9c99f,96af3e9a,e88e555e,da4d45a7,fb9e44d0,cc52463f,20fcde14,31c9a477,d02c464c,70c7d132,3247d145)
+,S(6d109d8c,2505808f,7b4052d6,b170ec80,c68373bb,e02f2b62,1cd29773,a96acb3e,c8dea0de,511f6e40,5141088e,cb023bff,200c870b,9cb952ad,c5038b28,eadc9a57)
+,S(9c219898,6d202467,c055c734,73557505,6105b3e,2874dbf2,8f7f0c39,66e1af88,8637496c,8eddff12,f9dd4146,36565e0f,efddf5cd,52d48455,ec9fb2d,8dd0914a)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 2048
+,S(22ca5039,e660f60,1036dd75,2bb973b,dcd104b5,dcb8f2e7,4de8edc6,c292b03a,86fd4471,1ef6b81e,4416449a,708fa0c9,cb6731ba,c403e58e,da5e915f,646b11e8)
+,S(cfc18f02,cc004640,f2116fdd,1f6ca202,2e39be25,df75e27c,80bde842,e6b6f938,d62b58df,4f79d0e5,97ba2923,f708cbe5,c09236a4,d9d01398,6451d684,6290df7d)
+,S(3388bcc2,3425458e,991f46ca,6235c50a,57490556,becbaf25,9d3c14f9,9a80a087,7d4aa2f8,6f65783,1c22316,6958fbf3,6c3dca5,d4ac413b,3102e13e,a645c016)
+,S(d26bd013,1b8c12de,3dd8fefc,136d9f95,44ac963d,4cbcbaa8,2ba941e,f0b46a19,66f89ea3,31b6795c,6b694872,4cab492a,d045a7d,a6780653,cb10ac25,b68d3a99)
+,S(dcd3370c,db67e8f2,163960ed,fef5f66b,465a03d4,d447f5ca,1d99d29e,57d1fdb9,8b93747a,320abf87,2cf8d448,393bf732,8a9eb4bd,9b64ded9,922616a7,347084ef)
+,S(74074d05,e602ad56,337105af,59c63819,21d449bb,3fe0806f,80589f3f,4f8d8e7a,1a4d4bd4,adee80ad,44fd515,a1dd5236,bf0dd8f6,c44782cf,e19b8414,b03d574d)
+,S(a89cc81,f3a23ebb,6a8df438,a78092a9,97120394,d6bb4dd,732373a8,2f05c174,4b6f83dd,676df063,4e5ddc9f,db979dec,326a9ce7,5707fd77,873a9644,a3c4fda4)
+,S(8f1a10ba,fa913f0e,1902ae36,b07f964a,6443c540,b60ace03,7dda380f,6616424c,1028d644,45c177c3,24416ad4,e740f31d,14e3a462,d5a0326e,86998555,5de5525f)
+,S(ad8fda79,14f9a236,a7957268,ada499ad,9154a2f8,478fa6d6,f4c74048,89e27b51,9ca1d2ab,1f7da6c6,f76deffc,5c3c933,703b74f0,26063834,6174e4be,320e82ae)
+,S(6c6e990a,797b2970,4408cc24,6f238e2f,2192700f,e4fb3c87,4d15e32c,fd67fbe7,1ffc1798,f355659,9fa5b32c,c040da31,39811b87,93d4d9e1,be83061a,3f91dac1)
+,S(202b13ea,31ad2abd,9635351d,e09f237b,9f86f75c,a340a47c,edc1f9a3,25118969,c52fb505,a14e37f4,d5111184,ebc81873,868a4521,700004c0,fe3cc535,181bcba0)
+,S(5355f0a1,25142fa,b0dc7c7c,f9855953,34053c6,12326f5f,d2284291,d7b748a5,75bbe36a,553501f6,c1c8ff9d,e60ee3ef,9cddd36a,781c518f,4b1ccf17,7e281949)
+,S(b8852d78,eacbdec9,d1cf1664,4a83aec2,79a39ab1,34706235,f913aeac,c29829d7,763bab50,52b3c61f,ae42735d,2e89ec3b,8d51eed0,f729e0fa,eb431613,df183156)
+,S(cab2e44b,294df78e,1c17d4d6,a09ecd0d,696d18e8,b0f188b,eecced5b,7057ae2,f351b09a,501a499a,ced49607,c55b506e,de28bfad,5b20ed5,4059a068,19ff2f43)
+,S(1400b9c9,9c6d555a,2bd2355e,b54b756b,b16f9f36,b9b86658,9d46853c,57056b31,8b290816,62f41167,a0a6993b,3d4211df,5709b91f,96f24436,e569c32a,dfa077a8)
+,S(52ae372e,973e9c1c,687ae7a9,a111446b,b3d31b19,5588d8a5,fbec6e6,bfd9141e,f982b40d,e6d0e42d,b9638721,a4590db4,1f87cfcc,d8ece56b,71ebfe0d,82351ccb)
+,S(3d14ffbd,40824625,be241e14,850dc030,1139b708,b937f2e0,fe5f65db,61899c24,b10a64fa,477ee047,4d9cf16b,8d2213a2,799882ef,d3766872,981fc761,88a1dfb7)
+,S(c6f52adf,54e0c197,a8bbc270,d4c987b,e7ab3fd1,a95fe46e,82415ecd,baa48930,7524c06f,b53873b4,9050281c,99fa44b,b9ef9193,2adeba8f,77e5afd9,3856811d)
+,S(90089264,bdc47cb6,7a3c838a,4c79c1c0,5f2d1dd8,6d18f55,9fe60a3e,c944c1aa,18963846,d70b3226,6a9d582c,c430e4b6,ca140bcb,91de7064,eea0fb39,d2ee04de)
+,S(e27c24ea,478b37c1,6275b2d4,ce8212a5,2db74166,96f3c6eb,c1bf7091,efda0662,27ec5279,c3a267cb,fad532bb,5031791b,bb99f4da,fc3b7b7d,8537cf09,12783de3)
+,S(ca5daa12,9cf1d6eb,70025d85,7955d3bf,2549b8ee,6064092b,917eff84,c40a3eb2,682d4905,500f6f7d,33e7c7c2,7d420b4b,7c4aa5f2,77b89e9e,f6a84259,de7a9811)
+,S(9069ec0f,2b2ac688,46623fb5,c89d1424,6c98ac5b,4250c170,4871699e,fc877f55,cc500ec4,eff83712,16c0617e,e2407dfe,a6c3c3a8,c8b80266,975d3a56,e71fb05e)
+,S(5fe1feeb,bd5ee1b,6ba742d3,c5e8aba0,536393c,592650f,b8cb1391,c3bda16c,db11b327,1ac64ed,3425ba06,8072f76f,ea02ae6a,4375daf5,3bf942b7,9865a34b)
+,S(a4a91a5,f168f883,49035b6c,f90e4e0a,6bf2602a,85e0ccb8,31866c4a,ac1b2c34,5bfeea8,fe36ed1d,18af2ff8,e2b898aa,ff7265a9,c08f4857,ce082030,7f837596)
+,S(f4135f36,f0c35b52,4a870505,4eaabe4d,43f5366e,d3c7d9e3,5f06f746,fa884849,1c6707f1,b8b6c078,b4d9d0ea,43075d75,ba1a5d30,c3a9c52d,d55fc4b2,650c526b)
+,S(d5a8998a,9363fbae,d2b44992,883e84b8,14a504d,92b41e0f,dcc3a9f3,94380203,96016b03,6fddc805,8bb8ae7c,6d46cd7f,2f20c5af,a62abd4b,bf9b3da,ea60e9fb)
+,S(8804ca34,4b30dbd,a07fb62,210c1938,d50297e7,9910dfa8,cc38b9be,4bf3d176,5b64bee5,79927c63,7788c55f,f3871631,eb65db50,b11cac91,24caede7,57d37b0d)
+,S(8691c1fc,440c21b6,bc48e78e,78bda5a5,c947c74,7d098e74,ac5dbf6,2b811021,fd8ec1c5,35f51181,556c330a,f02a7110,682f4539,f66c1c09,3d48bca,d7b1787e)
+,S(445fc1f6,343be2e1,fdebfe3f,894e9293,c3ee5fab,b0ed01eb,58a40637,ef093229,857f17fe,6737f853,d04aa1b7,3eded13b,c3c087f3,48da90af,32907bdb,7d85b605)
+,S(5c397fde,a657d1b0,b2e3aaf9,5b88c4d6,af1a5555,a1dcf966,7d1c5001,a76493b4,9ce74820,7b6f3c75,2d736aee,6a9fc54f,ce5cb52c,f487fd32,de79a06f,df0aff0a)
+,S(9b5565cb,28d7e028,361d2bc5,bdfe1912,d9f53584,372d30c1,d7e36fa4,c7fc1b7e,7d5cfa8d,2de2a832,58a57f05,4e3f6c6d,a23af075,d98b062d,82799b11,63879eea)
+,S(afbdec63,1bbf870d,3971b165,71bb195a,a5229a9f,1012bb4b,89654da3,c9194f1d,cfcba749,b9492525,f9874ad1,bbb0a267,83fe5714,1f54316a,773c2453,8f27e296)
+,S(7712abcb,ca3a5347,5cbc6160,5e9e9ec7,a7cc11c6,2c4b3f4d,e01d688,acad916b,7b91c9bc,eb12555,ad2b43af,8c3bd332,b57cbbfd,1ffefead,c68f0a2,6a4b82fb)
+,S(3c452346,f2935e41,2e5fe506,fdf5066b,11b43a11,66e75c9f,7a2d38b,1ca2b7e2,fd3f6de1,27f96829,3af532f8,d4811fd9,e02038a,352b6696,2c608c7f,f59cd800)
+,S(bd8582f,b4dbda3f,c7da53d6,70c994b8,e04eda44,ddf0b054,7d182db0,aa48b7be,799e2769,c18268bb,8c16b282,ee7d0828,ef0dc4b7,9767033a,d6de8c63,45285c68)
+,S(c41010a7,8dd9dd40,62bfb71c,1691338f,befe03ea,d99eb719,74dce6cf,b2c84112,5008c39d,e71ebc22,3b1c5dbc,f824a63c,f270f807,3143e08d,29b162da,42a2ff83)
+,S(e89e807e,6cf4ba27,6586a6,a509bc8f,f786bc5d,dedb5f4a,1b6253cc,2521d311,aadecb79,7c4948de,9379fcfc,4c040029,2228f9c1,c099117a,ad6d9949,f2fea2cc)
+,S(363df1b3,be2dbf90,64137919,51218c34,84091f73,866f3fdb,dca1b90f,dcb08577,aefd04e,5634e36c,49621493,f7e76f20,f9ea5b64,6309a605,7e3bdf0f,75848bae)
+,S(5c8d1638,83d2824e,48121322,85cc44bb,ca8fe33a,34d5c3be,cd4a3c8b,c78ea16e,f66f91d9,c7ce66c0,89500591,49f7525a,355347df,8f31a685,872aebae,1ac0456f)
+,S(10ac6676,83583ed,d837789e,ed9254da,4181dd58,be75dff4,8085e87,eacbe126,6d3eaade,23f3e7bb,7465acb,c6b25af,72e0dba0,1815ea1a,1f57ebe,bb17d22d)
+,S(1e79a1ea,7bb65540,44567796,2208ea3e,974c4c0f,9b61f7da,8dba697a,8c153048,b63e3d79,20a34888,68987406,4a8008eb,e07d35be,33a055dd,394ef2a5,f0787fc4)
+,S(db0d1c73,97b0a23f,508df2ab,b00ff13e,11699118,11d6476a,7bebcd09,53fa9a5b,1c9d0877,3ca74f1e,d1972431,2b5c8eef,2f85fd41,6629cdc9,d0b9e328,4900dfe8)
+,S(e1fdd7b3,481ece8d,266bdc22,92e775bf,96904223,e620f622,3a03ed,cb385f27,3cfab39f,28953ff7,d6dee65,83fdc6a7,d9b31f93,e2103e6d,9e4066a,970a4c77)
+,S(96797134,2b69bb8f,3d6701c9,22130c8f,9ed85fe5,bf189880,3b2df11a,a223ffd3,2d43343f,630b6f9f,7c4b6d93,cd29a3e6,632c0dc6,c095794e,5997e47,e631d31)
+,S(dfb40218,6e27d494,c69d2a0f,399dd480,ec0a776d,9a99fba8,cba81417,d9c33efc,332d91dc,e9f93273,15e45bcb,79603050,9bd8501c,17820f48,61f7b12b,5d37796e)
+,S(6b65c5eb,ed13dca4,51608da7,b5c1a331,171de004,7fbe35e5,189b8468,c27681ec,afd0ee8,e0aebc0b,2f246b51,f6fd4f85,3e71fc4d,f5bb9f43,e2679c8e,89a34f62)
+,S(bc1c3da1,60b03965,e26396aa,5d426df3,21e5c22,fdfcd004,80a390f5,28c4b619,fd657174,65e4fea9,ad7862c,422c11b,86ad94cd,35acbbc8,76ed464,aca31640)
+,S(589b1d17,96d6ca35,53f8a6a8,cbc587e1,9026406,c2c6f8e2,de613dfa,8c05913a,e655d5ec,ac254f46,e279365d,e3bba2a4,3c7b6469,da45ec87,9742cbae,503fb3e0)
+,S(9e726385,6d1e6c2a,94dc2ef5,c92d94bd,6ada63cf,cea75677,6125bf98,78ae4ed5,8c238df5,1e5b38f8,b628a48e,dc7aa2b,a83bc40,43c91896,69f5341,60e304dd)
+,S(12269d78,14e0f74f,ba40c551,b2080e00,4f9bd3af,255218d5,7eab5dbd,c6764263,f0f70bd,6584975c,106febcd,bbd16920,daee58c7,c22dda70,4a95f864,e385b3d6)
+,S(d3212f2f,cc509014,e0c48cdd,6273effc,5c73fdbf,1676faa3,15e9173b,573088a6,39af39f1,673f51f,362618c8,49c6934c,ff59b6ea,853fafc0,9db64084,4832df82)
+,S(c535f72b,9bcc0bad,44014e72,4f649623,4ef288fd,9f42adcc,dae45a20,84250052,3f79985b,6fb7631b,62814a17,f7ce829a,88447302,293000a7,4655c7ee,4a271022)
+,S(4f5b7126,9b169fa5,8602bb18,60ed0df7,271e3912,ec0d7c12,1c80fad3,93399605,b60fc104,7f2a58ea,9102c6cd,b97c932a,576f63f2,6204fb5,dbe41363,cdcfd0a7)
+,S(cb459b3b,244c38b1,af2c2863,e0029c14,ec70e7d,737a7851,de9c8f1b,b7d5d065,7b67b15d,3c0376c8,2f646241,1e890b3a,a888bd15,692c90ea,53a74a4f,1957fbd0)
+,S(787d61c7,ebde0c5,18f121bb,7f434196,d389f563,d1a46597,ea72a1fa,4e19054e,5baf56f2,5fcf8cb8,c271cf39,6b3d150b,f42e9ebb,d72b54ba,4b93bcbe,ae72a658)
+,S(c38afc2a,31d0b0c9,4b77d97c,bd639082,3373538a,602352ba,cc93b6eb,c5f6115c,b925dfca,b138fcc2,4b9a26a4,c645f8d5,875e098b,d2e58469,d842688,43ee529f)
+,S(37661e3b,8e606e95,b9dc6ad5,e5b9b25f,39a5dd0b,8ab7a82a,d6ec879a,ff406d0a,ab735e5d,430d8fce,1317e07b,d6cf9441,60d8bc39,132382a4,df1b1638,a7e9b977)
+,S(e5127851,b8c22b47,c3d8e934,8dc0c677,88ea5ad9,f64e6062,abd68a16,51e256ba,5847f77e,349eb7,90b4b7dc,5537ffa,5b1e7d4d,b87044b3,f947f387,270405c6)
+,S(f3c7f45d,a6b8a8a1,3713e7cb,7380fe06,127a3698,520bb41,955647b9,ad7382e9,2acf9a11,eb1b9d31,f71decd0,90093677,4b469301,719d4a51,ddfe5fbd,f63e7c87)
+,S(86de4047,e8d5b252,523733a1,848a990a,79125f95,3bb0e4de,ff4b2f0,84d745ba,71e6a472,dac005d,2b284cf7,d5de92d3,56921105,1a9ee007,4279a746,71bc969a)
+,S(c6115c30,72259d66,d960cd96,3f3aa16a,3029d9ca,c0c5ec63,5e2875c2,f3f57504,18d690d0,b33fdd78,d797f56c,23c821a1,ced02401,3443c770,50d12850,9f7a712f)
+,S(cb545099,8b43473b,91838cbd,76929b05,8bfae0f1,e2bfbc6a,c61d3674,42f53c5b,4119d74d,79e34f08,cd7684b4,f9b9df55,c00ba8ba,7bfb4ddf,de38db78,91572bbf)
+,S(d0dce704,b9362bb4,fb1771e2,660a98a2,a333b73,c6d09372,5a752f28,52922d2a,f92c3b70,7947ce0d,f1f3891a,259cc2ee,124d3f54,a4c518ff,de5a3915,96e37e47)
+,S(db93e238,e5aa5986,38eab857,655cc53,d4270259,e7d73a96,249a19bf,216b20a4,8d19dc8b,670e8eb6,50b4f60c,d26ef657,3ab17895,c62fc94c,815d7eb5,fbbcc7c5)
+,S(c387c37f,d8cebef8,29e07e54,b0796129,4d6c6cfc,bbf11835,ba85d4ef,68c3f486,852580d9,ae7eb300,6ca0f7d7,f12d7fe7,c8e3ae0d,b6258897,994fe78e,11ddeda9)
+,S(ebb58d34,f04de551,37c01b5b,192bb4b6,4d3b22dd,23ad9092,f943749c,7606c232,1b979d05,9c99f9d4,db1d3e82,905abc9b,d92ae72c,509c912b,c59488fc,ddd1ae16)
+,S(7891cc66,acfda29b,765810b1,730cad13,2f13178a,fbf238d8,2525ce42,96e38e6b,22193729,20188c6c,462987ad,7ecaec3,a21ff6e7,db00adb9,72facf65,367caaf1)
+,S(c0b02542,e4bc1e8d,2c2578a5,3793fd8c,acec800,c0a311f4,72c50de3,5814d081,24bdc71,f5917c0,1ae6bb5,71c09197,76b1a884,ebffd673,13698bc1,b57f8371)
+,S(ea15d574,b8704507,f12fd9a3,e40ea603,c2000cf4,4eb3d4b2,f07a36b5,c426d2dd,b6596d4f,4d8ca39f,4e0faf58,ab7e3894,c5cdc16c,589a524b,6ca25a51,8a30944e)
+,S(77d387df,c35a6af7,b88d5726,a249d34e,70877698,1358c672,6e51b779,cf9604de,e5daeecd,2d70a962,d2d3c235,14fa2b1d,45916506,de017249,93fcd9a4,f08b4a87)
+,S(a92742cb,7d1a24fb,c1a4dc2f,9d6fefbb,1064f9d4,c3152db8,3296a9dc,9dccd7ec,665a9cf9,8cdaf0a4,ec346df6,823f3c6,66d4f163,b3e7225a,d9d18e42,31679f76)
+,S(253e54f7,9f0c393d,5d34053d,37b55304,f62de9da,29e0eb6f,36cb105f,a6316a46,54e168cd,ed78ec0c,32a9417a,c5b27ef0,67c8577f,8fe0bfd7,b2ae33eb,ce7155e0)
+,S(d13048e0,e9c38720,6179586f,9e38029a,55fc01c7,b33d8443,4ee45cc0,3fbf2,7c4466db,94502477,85490689,7b251c39,af257840,b9bc61e3,64075080,84743f37)
+,S(e9234110,387c2122,2887d079,7bdbc9aa,a632b237,2a5632c8,8e604653,70a284a2,2b98b08c,4ca3521b,4ffb3afe,66f98ed9,839a2651,f740f63a,e80b0cfb,6f6523c4)
+,S(302e03a7,ab6978ef,73891a5a,7bb25764,7428341c,94f8a713,32ba9dad,83a29be5,4abe0adb,210c35be,b2ee850d,2e56bb3f,e8430db,644082ee,a98a2f83,5710120b)
+,S(53701389,44400f30,dca0571e,eb0f8c7a,4fea8bdc,31d68859,8d7cd156,11665368,ca345664,39c1f221,a5731bbe,5a9a36e1,a712e2db,f16a6d19,71b1a74f,eaa97cbe)
+,S(8c0e8186,645d7cb8,fad2b6f7,a5a2d399,656aaadd,5423cff4,9579529a,f28383cd,2ef275ea,14c44981,9307319d,18fbb482,63c6d24e,c94e18ff,cdcd7757,4c48d27f)
+,S(64a70831,26baa3c9,a11615c4,5ff8ca99,adddc512,c697901d,afc43d7a,5fad8af5,ba43c48b,59a65f6a,c3a45c35,4bb17968,148efe4a,288f742c,43253e70,aafe29d5)
+,S(fdbd066e,82ff8e24,b2f785e2,e166245f,63559acf,b4f56680,51db47aa,5d438e06,60dadcf,a19ed8c2,376a5d38,28b9499e,875731d5,b2417def,144e2a84,12973d63)
+,S(b287ccb8,1ff90731,19ddba01,d9461512,82cf15cf,2dcb3e0a,f1b26f41,eead174f,6ff15339,7a9a0bee,4b38a463,5db66ed2,36d1beab,c0039bd1,acfbdc09,fb74e090)
+,S(18047a48,b65234a4,fa5f2188,8b3032fb,3b3f8457,1bdec3c,962d5cd7,fd068116,13627669,18198832,306c5444,6cea5681,80134209,101a117b,1f34e15a,624574b)
+,S(f1d3b54f,be4e2ce5,88a2dd32,8a41e136,6b74ffe9,5bd4aaae,ce7e7a8,235f914,37c25d41,300e817e,b4ae1471,e8486232,c0c21165,97efe33b,e86d6277,a8a3981a)
+,S(9b0da9e9,5046dfab,7ff509a6,10ad56d,9770da36,c5e22a83,9ce3a36d,853bec4a,27d60345,30c25a36,e80bbc3f,f43829cf,df757c19,1a2924d9,6da77503,38135faa)
+,S(d0833bd9,5155d18b,be55d40,3717568e,2d3e4d24,f2eb65f9,f13d8d65,d899c5cc,e509aec3,b5044ab5,11fb1e4c,56db7146,ffeefb82,ec4e9de1,3c473bc9,964741e8)
+,S(8c41627c,185f17e4,28a01b40,27980e6b,ed62ad62,17c9f8a6,26c329e2,2fc37117,75ca226c,3316a552,37e8a1e7,483f73ee,a36da441,c732dca7,7d95b7b9,3a3662f7)
+,S(371f0105,e43aaa30,5cc7099e,9a13b97c,2d75c26e,5b50b11e,7cc6283b,27728d27,c969dbe7,d0976d68,8cc64312,4538ead,b1194426,cedf149b,293b80c,6ab3ce99)
+,S(5102f59a,4238a358,f8b4d3a1,85d864c2,d94aeb83,7a8f3e03,541ffbdc,2ccb1710,9e14c4f9,adb63c3f,4cd30606,cd41cabd,bbffdc3,89e996ce,91522093,85ef1445)
+,S(ca21b6c,fd40403c,78353c7,836162f0,a7f57eaf,bd4a8cc2,6df2baa7,1ff08beb,108a3c46,47eba55b,3fd9f2ef,751edb0f,d6b68482,1424bffe,e6ae3e58,1f7f12f9)
+,S(d9cd44b3,ff40d19c,e8368bc8,200e3dc9,7ec3642c,acc40769,7c94e68a,31d775d9,b6b6fb6c,683ef701,d4cf7101,79de4af,fd7c4a1b,5babf3cb,85c95eb,485f0901)
+,S(9a1354b2,cbcb6888,bb564426,71bd4904,510da508,3fcc61e1,4fbdf44,15a10360,3f5f5291,707c48b4,4da3a2a8,93e24037,bc4927f3,81dd9b9b,710e8b82,874f953a)
+,S(c5e55e0f,271a81c4,ae7deb0b,ceb0fdbe,20fc60c5,38692941,bd50ab9d,ad0fdf79,138a0f35,eab49301,7a53e7c,c62ae93a,85ed9e7d,708a00ae,cb10776f,fdc83a63)
+,S(5ebc2f64,7f66bd3d,2290e4dc,6cc5f662,7c67ea72,599d2c6,9a004aed,9060f919,68f7dbce,df2085e2,27cf7920,65369637,3ec1e860,b10c8f1e,56e996d6,854659c)
+,S(4f28eb9c,7d060dd0,5051a5a7,9a79c960,161d7081,d3a58b2d,a421075c,cf966e03,ec378861,5434741,bb2aeb8e,4a2afe78,44849f3d,2cf12a6c,2eff3e05,d267fafc)
+,S(f50e20d1,ce113e09,850c7a9a,10b347c9,9fa039ee,57ec85c0,efe15b4a,1a83fe8f,4db7c231,90df41a2,8218595f,61407f20,cee46478,27d54aa9,4db9bfc3,fae975be)
+,S(cce6b2d0,1adeab95,dd78cdf2,b55882bc,79de945c,d4249e76,ab2841a3,abeff5ef,1d690674,1312140a,fdf764bb,560b1bd5,bab1dbaf,9fa26bd5,604427e5,34626e52)
+,S(55a65174,fb10557d,2ecc7312,15afcec1,e4830be5,2d34bbbf,bc80ed6e,9f2d8475,c69795f1,de1e537a,970dd412,65493806,3f0623d4,e7353eec,611c8917,278012c0)
+,S(78221cfa,7b4db3dc,7e22779e,97ac8d46,d0c1d819,76594ab0,267ed28a,6127f290,8ddcd5ed,fd8e8c62,4883a158,2eab5652,ace0660c,2e358b66,3ad53e90,cbc46a54)
+,S(9b985039,441ee434,ed4da39d,6010782c,9006cce2,8f92ff96,2b2d6fa,986ed178,e1cf85c8,7b537b2b,78bf67d2,2d9388c2,8a50dae1,73f003bb,85fe5f9c,12c6cfa4)
+,S(9aa2ffb1,4a9e48de,57db9d78,d9b6757a,6c27e7b0,291dc4f3,8ae9f204,f7edf20,771c7be3,78e0f794,fe0066ef,8592952d,8f80d7d5,2772ca11,5ff8b7f6,377d1040)
+,S(d1059083,66a0b463,17c510cb,40922a0c,949de251,6d80ec02,1e359a89,c6937e1f,84053a25,c9ea4414,a897155c,c45e0da,e5e6f2f,aec780ac,99c41545,fac8630e)
+,S(1f3ecacf,7456984a,fedc2d81,2a81f7f,1ac58ad9,c70ba7c2,3e7a2ff1,f9c5d066,c6add8fa,2bfd24f1,73f4539e,f21681f8,15f1f362,e0f98d94,cd435d80,71a23e54)
+,S(a312c709,a16d0cad,25551ece,86c8f947,5e504d06,eb3524fe,569cdca0,da2c4371,865ecc2a,ea04c5da,2089ea2c,66b5bb84,8c1fc29,ac7bf969,c778039,b3ae7b03)
+,S(f21c4675,e829ba78,fbcf6410,9c2eed38,8c3493db,1017d69d,953f32f6,744197af,fd2c673e,43377caf,5db0ee06,1a37b03d,43d9373,482d3ef2,b37f74ad,98b2f57)
+,S(116174ea,2a029a02,fbcb2eb6,1851ab31,f4836933,a73bd426,8feed7c0,18865692,2123d027,e1cead9d,b5fca2a2,d6f5d1d5,25cf3855,44b64352,ee772d4d,d70aaefd)
+,S(358e77d0,919e4c6c,f64a2117,357e72d6,2334fcd0,f5e7e60a,962335fa,73f9d663,7ef8d620,6f99f403,10781985,988ac7cf,dcf5cdaf,a086a0cb,8b5b6eb6,7837bc08)
+,S(509f7e0d,9e81f146,39157e20,3165faac,8056deb3,a813460d,b86c6daa,baa33fa9,55148e1a,340eb6c4,e6a8645f,93f1ad3b,fd12165f,c3bff090,a095b8d2,a0db6ea9)
+,S(358e325c,185f0e26,1e9e30c4,9346f21c,a15c95bd,438020b9,ad9c7e6a,d2a4ed09,5fcc074,c97715b2,812ef690,3b3d6185,54aa11bd,34789b3d,97f9b65f,2d18c4b8)
+,S(1e1c712d,bc00af2d,37f37e4e,a2589e02,e314c310,47890d26,8d36be3,dda2fc4c,4898f9a,e3136bbe,36798cf5,ad30b38b,974e7e75,42d4c14,5bfb1f6a,490655dc)
+,S(a6516f9a,aa3f79b0,ff3b794d,c80a9590,64e31720,7361b918,bd797b57,23ffcd1d,c5934c6b,59f3b830,53f77b07,47c7c312,812373dc,ebdbcf9b,ed550300,3a54f5d4)
+,S(e46b48d8,8b1e1b84,b9fab824,3044469,50cb5633,da599b79,295011b8,b1098155,43e9ba24,4a339976,e342e551,25974350,3e7c8a80,cd950a80,a5d79365,b0c94f51)
+,S(ca7a5099,97a9c2e0,625105b,1df9e714,e1cc2d40,1227400,e583370d,3f65aa0b,dd8ca4e4,d2eecd1a,20d994fc,ef7cb0ef,19c61844,cd2ce039,b7a1eafe,66e1f071)
+,S(326b5ec0,d29b576f,111352d4,b7786c40,8486599e,ec01ed0d,a390d586,96313f08,f4a3f171,a4ac654b,e7aa6063,3d5b2a0d,c2d5d3a0,3da4d264,95e828a8,1011d384)
+,S(b762982,54f5c75a,a557038d,bfe9bad9,7c5bf8ee,e512fe2b,39293228,e70d306d,8b808f9f,b36e3e86,2c75bb2d,d7de8be,cc85c75,398496fb,f92db3db,143606c5)
+,S(8bd624e1,2b1d36ff,dde50a09,6f1a811b,ae66f1a5,790654f5,ef79a21b,872286ca,6687ea2e,f4538961,b6731c74,744234af,8bf6a2a2,170544d0,fe9b8057,ad1f02df)
+,S(ed25eac7,2a9f9290,bd414cc,cf846c65,509d1c33,d5573da4,2d78d25d,5de48a9,556fa9ed,2710fd03,b6d1583c,682cd7bd,8705a9d0,1f73a8b9,8f3a1eb5,d89eaa)
+,S(f1943b6c,9ed76a84,9c67bc94,c755fb30,e8facc1,de280060,df4b9e7,8bc02bf,98c7ba08,85dc4e0f,6acbb646,42cb876f,a3156232,df1f84b0,4818ca56,882a40a7)
+,S(c5b60b14,2de3ab8f,b0c24276,dcedae7b,83422821,6ac8ef39,1d351832,a5e9e5d3,ce86e4da,1174e609,f55e10d9,14d4a5e,33259578,e07c1260,e912acdf,9eb5cd69)
+,S(b06638e,706cfe63,3359647b,253f99e1,c7778200,c168d4f5,92e2c409,493755ab,e6401fab,1b4d5229,136e2493,39f95357,e16dd37b,87e7f69d,3e88a383,cb44bbd5)
+,S(cef8c1b5,486dacfd,29650ea5,432fa563,f0ec5fe4,6814bcd8,9f539b7d,264b14cf,80cc2c1,8d0b0be3,939ea,761d7281,5ed4fd2a,b252d66c,9316aac1,1a5a2fcf)
+,S(f616904d,f868f2a1,5fcdccac,4198b1c1,62defb40,269754f3,8e546da2,4b85d7ce,fb971012,344024c9,f0bb93e0,b73b31cf,de8b4d37,aaeae3e4,7f62633a,7b8255b3)
+,S(97386144,bc7e4a7b,33a51697,902fef4d,1613d8e5,ed80a599,a59f62c3,f98632e3,bd12d584,58429939,2dd834a9,5431af27,8e56065,ba79bb6a,5a806d36,cfc16b4)
+,S(946f130c,7a70fa00,f403a56f,6656b279,1eb08ddc,561311b,551ce437,bb0200c8,acd698f6,a5037e60,7f5a923f,3af05784,186d9794,a7bf7105,7a66949,e1945b8d)
+,S(ee0cf184,72c453b0,c38c064,fc0d2589,d5f1afc3,3423687d,91740bdc,c3929230,d817775a,7fecd397,e954db12,fca24990,8c773c28,b36e991f,79c78264,9fff8dc8)
+,S(f335f7fe,9542a587,9d48b4f,4ab1287f,ef007289,4d93bc21,23463a77,7d535d7b,336e49a3,2465d29,35389c06,d8eafb4d,7639dae9,a6b19bf7,45518502,e3350283)
+,S(55bf8179,4fb37f8d,dcc200d7,b76a9040,b1326d6c,559d7f06,f0eb0e0f,c97e7739,ca33cf00,79155cc1,e902ade6,f7d703ed,3053f6a4,f49d0866,32e930a2,afe69bfc)
+,S(dffccf81,6143da46,5ee2195f,abb6d943,1033b901,2fe0c623,49b7d6f6,29de29b0,9bfdf3f6,e1dc4ae7,dc29fc06,f85e1588,c04bc39d,5fded90b,bfe75b9c,74f0aff7)
+,S(b9748c94,25fc6fa2,fe5c1395,b556bb12,c435bc11,2e8f577f,3c5e7d82,3539dec3,f5238bb2,b995d23b,5e96b233,6d5141ec,f76d31bc,63aa96e3,dfaca8a8,c94007a2)
+,S(92c43c54,e951b157,38f29e33,5f52ad9a,2c5349e5,fa6a39a3,fb615878,ae97f7ca,7c7a6b73,dedd1bca,308924fc,6364b62a,bdc4ae79,d68a62bf,71bb0195,612b4a17)
+,S(b1937ea,25995e55,ee1ef139,d7a58923,5677afe9,f4726d96,40b66b0,d21eb272,d0f95a57,544ac7cf,e6c3e0ca,5e44494c,5585c503,a8ea9919,5a993180,cf043dd6)
+,S(2c1cd64d,bd7ee24b,2bc5a6b7,2009b788,e2a5047a,8d10dfc9,4a46d807,c133f457,fe8a63df,ce7d7a4b,e7c31a1f,5e68826,7a9449fa,9e9ce30c,fd8684b7,660aabe3)
+,S(4ff10a78,be6ea8a2,b6830649,b0a403d6,6d544368,6cc854ed,447f53fc,45004834,b3cb30c3,56d50596,2e81cf5b,f4e2db0d,e43384d7,28f5d8bd,b362d287,e58765d8)
+,S(33f55b66,6c90665a,b60a7c2a,c714591,f877e8c8,517344d,9da03558,f43d28de,399848ab,6aa95ed5,8ae0ea80,c93931a2,af146754,385edce0,8c2a4f64,2d5163f6)
+,S(b9712359,5a7237eb,18b7cc15,ff2d6be,408da66d,5885a636,20887ab,340d3e04,a283a3bd,643ac5a4,1b3f0ab8,fc693146,dd125f88,fa87cead,817788b3,be72363a)
+,S(d20f9067,6efa9435,f602c1e9,fff7338f,5a4204a5,4d984dcc,f0ba5fc1,60a1035b,ac3a3c7a,452003f8,7244406c,ea315175,ca1af26f,6645486f,3faae77b,8f404139)
+,S(322d6ea3,157c9f0d,444b2d0b,d072e192,81d8b3e0,3ee2ef5,4e294b53,fef41f2d,838147f1,9dc12dde,676a9e67,6a638c42,6e096df6,ea62ba97,ec359b4d,f92936b3)
+,S(95925c08,68341b6,b7564ea7,bae00b0d,1d2bfacb,94aae4cf,8f29ed9e,fa0c26d5,c63edb9,13152232,c255557b,2207c2ec,edf14cfc,bdd246d0,2b46f7f8,76b92130)
+,S(7592aab5,d43618dd,a13fba71,e3993cd7,517a712d,3da49664,c06ee1bd,3d1f70af,554ee877,af74284d,5ac0aef1,ccfa8ab2,7a9222ae,977a1b45,7d79d386,16eaa410)
+,S(ed9d298b,e13eb71f,8631ad31,1b391680,8062574a,6053f503,671d9a59,1209e0eb,97a9abc0,dab8886d,9a07caa3,f40d87d,7b479efc,d500eb6f,e54ba1b8,9d85c3cb)
+,S(cdfef636,a5900bc3,bd28daf3,308d469b,78ae69a2,ffc39fcb,9f8e4942,fa355fad,f8338fcc,54c0ef4e,a46a1c25,591607aa,f4f6c7c5,378f2d51,79f80e46,520db6d7)
+,S(f638cf22,ca3bd6a,ca7a8fc4,26d9f5db,dbc0943d,6a587584,8ca52e6a,7949db49,56a267dd,8309eab7,90b49003,9d595141,653a7926,9fd1f732,f3691e0a,41675295)
+,S(4340fef2,9b1e43f5,3c76cab,163920b3,7a66163a,bc942e1e,6387a2b1,8f14bd1c,2d5a782d,6889d353,c6c908f0,b6f7a9dd,59ff2f15,8bbb9eb6,ad62bc2b,832210a0)
+,S(78af8680,5e3db13,cd2c01f,beeb826c,1aa83296,c6ed1a30,bf2822f1,a9b80991,19c7ca36,37a6ce91,2680d95b,6b94f835,ec458cdd,86206a2a,49d41af6,248c3725)
+,S(d87e590f,e6a4bef7,54a831c0,13b3d561,72064279,38b96d49,58a2ae11,c9c41ef4,3928a93a,c9b43489,f1fff97f,f8ed4ebf,53b97aa1,b50896b3,e30b40b9,be1d1dc6)
+,S(b59d19f3,69c547e9,4155cfd0,a0b9076e,85ea8569,195b8a7f,630a8446,ddc54c32,b8f5588a,ffe7abe0,e2b83d55,28162c5f,2d50827e,c44a4357,f81ff085,da661865)
+,S(34f643da,7cd59b00,3aa64cd,81c143ab,662726bd,5eaf543a,6d83d30c,60f3ee78,41574cf2,91a7f573,5a0bd29b,3ee5a36,91906c1e,3fa47b22,d5204446,f4501ee8)
+,S(56ef37d0,583e9de4,33f78757,dc31c968,fd007bf5,6b05db4e,cac395d6,233dbbf3,a140e01a,b5c898f9,10ae2807,53ba14ea,ba8cb5df,b9e9629a,92c14b9a,df5c9286)
+,S(1e43f34,815b568b,1139ca5c,b3a5dd42,fc54dd76,78454fc8,7e3dd00a,edc957d7,5cc38274,ac96ee20,78a82d9e,64dc2bdc,8e947afa,d043302c,85d724f7,7e334cc8)
+,S(ce79e49,35d2db7c,d9a9046d,3d81b7dd,f8b06c82,98f78eab,ad93062f,c339a952,fc2f6eee,1b90626a,5ad8c494,3bc3cf5b,8765c8f5,fdc05dc7,fffa08a1,b84f9686)
+,S(b4144804,ca862c26,70cc3365,e1a00cf8,f6766cc3,4b3dce2c,76c40c31,86fe4fd9,e4368a1f,ca9b6e00,a3f752f0,3a00fd4,29cbdaab,5e2a04b8,7175b9ad,51b2219c)
+,S(eaa29724,7406f824,8e79cf65,ced49d39,5416341e,c1bc46a7,b71d422,1f4fd39f,68e7f81b,e3b75cc3,de4d9932,85e21842,d0d4b6cf,38a1d46,248dd28b,a97c14a6)
+,S(4e2d10ff,1f7288bc,3b8c6caa,3dcbfc72,eb7371c9,f42c6999,e7a2ec50,30f5b6a5,68da3c5c,df2a4fb0,a93515ca,3e417d00,6ba793f5,eb678f82,be88200f,a5a8774)
+,S(834f21e1,114dec96,2a8a4b45,c67c2894,7d073b94,457c1adc,e009dda2,230659f1,e9fa61b6,edb5a0a0,2f7acb27,d04a67c3,39263adb,6320ca6e,f78ac7fb,25adc89c)
+,S(a84b44ac,a0a64455,a97268d7,cd3d68fd,c43caed9,f9bdc381,ece7139e,30c7d0c7,2f903f3b,74e702bb,d2fbde43,f919af7b,d1267879,3882cd6d,a05af259,bbf6b74)
+,S(21219e06,98bcb977,47b1df66,f9e0fa6e,600cbe7c,bb432cbd,d413481f,241d6789,7a4388d3,c8961874,a897d968,8b5d3266,2e6970be,324bb736,aefd1892,70954055)
+,S(fa514e1f,93bfccf6,88b4bbdb,e4f49879,7b946549,82a27562,6867b22f,9baeafd4,ccd48215,52572b4a,9e087b51,8c930e09,2c2f6156,c26a730a,478f257d,a4f91b74)
+,S(b60afbf1,643099f0,c0533a4a,99bd8c2d,2204d4f5,3f2fdffa,4cafa02c,79451ffb,fed8f90,1a029926,cd4b3bd2,76bda6e9,d321e006,3eef3f43,886eef8b,4b21294b)
+,S(f29cf9a3,196ce34a,86efcca6,554694e8,17c2b765,39c6cdef,c74850e8,a7ed76cd,5130863a,f7c333cf,b37f1bf6,2db5bacc,994b2977,9951e8f6,2471129f,88c9c5f7)
+,S(9cd9e23a,cb00bfc5,1a3af34b,3e23f1d,d8fe314a,322254ed,563b9275,c5084e4d,ecf0235c,c66ea710,151d6c1a,17b31705,4f31bd4c,f8d2a77d,4d36fc4e,1298e1d5)
+,S(56f889b0,2cfa048a,f96d99a6,be56a282,18ed6691,ab2b25bf,f3d3b6f5,f6e5d65c,352b20ea,4a2372af,f674f824,8dc8fca1,bb8ecc29,ea0c8d92,1b7ea07b,241fe4bc)
+,S(de32beb7,f8fad8fc,16d69a7d,d3def556,8e2366e5,246bfdea,16c936ab,5dff2a08,d731f11c,93a71c22,46c2bd06,fe265fab,eaa216cc,b0de1acb,a7c004d4,249e145f)
+,S(85ec7dc1,dc1729d8,c03dfa58,fefaacdb,7d12dc3a,f984a693,968895e,2a6ba256,523038af,8e9aabcb,f98c73b5,afba31dd,89e4b9f2,ba1a841b,194b0b45,9a4a747c)
+,S(f7948995,60528ec1,ed7f5efe,42db8bf6,e223280e,2b26d4ab,e23a5caf,41e2e141,9f7594e2,96ed1f98,86837e9f,da8d6d9e,58871e56,16cdd2fc,dd6fcb7b,80c6ff98)
+,S(588d6fd3,b4208825,3d76e8ee,f01a93be,866bd53a,e228c137,62199ce0,f3454f10,a5fc9653,3e41208b,ba3f29ad,e31b7e32,6320b81,ad0ded2c,6d922a4b,b42af573)
+,S(186fe08d,bbe5c8a7,56f87d4e,8976777b,b01db294,e834659c,bf423de,1ccc7443,d99ded39,a46f7820,3437a93a,435fd0ca,29f12e26,a6449bdc,a256f99e,9bdfbdc0)
+,S(e549cb08,3055abf3,3b7eac38,cee13336,2af22e98,2f576bb,5a06d5de,59bd3d25,cdf37f20,e7b51483,6641c7f7,afc35ae5,5ababde4,34a945fd,4fe0325c,7d332381)
+,S(a4e42afb,fd7f5158,5c86108f,cfe84b58,b930df79,f53a86e1,8ac93389,224422b,e9f8e1b,3963102,b58d6177,f915d7ac,541e551c,bbea3e2f,1ea47960,ce1e30)
+,S(5f7ed844,42022f42,6b09e9cf,b7750fa4,4755fba9,7199fd4e,d09efdca,d803dadb,91d5ded,d06a8eb0,9c9592fc,c9096f1c,e852d9c3,9bfcdadd,ccbe1bdd,2b76ffad)
+,S(3fac4743,32f064e1,b33fa22,3f67bd15,91dcf7f9,afa38f1,868e180e,c2938d66,45744e67,6b203799,3386d10a,b11730bb,eebf270f,9ea65920,6f93da61,e2aabe5c)
+,S(5fb983ff,f058d214,2e4d13df,97d8e784,d4b10e0f,6a18c6b1,90e64bdf,fb7a7aa9,33394601,8dc540cd,eb73f73,a9733d74,ec581181,8a6d58e8,3460f1a6,8ddabd6f)
+,S(baf35c3,fa939a2,db15eec1,ab083664,9c6e941e,19d3e0e0,43e0f5e6,df41f88a,42583cd3,e53fa1bc,4eebdc3f,e3b8b069,9de41445,54fed966,214108d2,f68e9201)
+,S(97641f5a,a51e7ff0,f1d86183,a3fb3d60,4266c4d9,acdb9f9a,c704a05,809a8602,134ffa32,aa9fbdbe,d8d82fc9,1cfa78f,1ab169fd,459da39b,5b0d3287,ad9517dd)
+,S(96a3711e,acdaf6dc,5adaa8fb,4be05c37,f59febca,1a876a5e,e23c6b55,2727292e,8fb0cfb9,681ebb7b,5e1fce0e,67ad5d81,34be9123,56100e96,b82ecd3f,a5da4392)
+,S(ae64428b,8e540c6d,28d38892,6136320a,9f9f16b0,3e9d5e2a,14faadef,4f154b0a,db202e5e,b9bf73cd,b9ed5193,b0ff59e7,cc68aded,6fe6c2e4,d5b79493,fc118aeb)
+,S(2c5932df,65c0c2c1,14b532cf,15b48433,e16424ff,ba87438d,42229075,6cc984fb,161ef8c4,b908a056,d395deec,38b9ff4d,1c643628,2ceb1e47,f59a2c24,c7d29130)
+,S(76e21c78,6937ba69,18252d56,3ebfcbfe,2415389d,bc692071,f9c48f55,7aecca3e,de7786fe,9db47d61,e3b61d0d,49309fe9,ca634d28,8d71aa77,a3fa4efd,4533c8e6)
+,S(7170dcef,ca8a138d,1d20b346,6afc6a46,99df363,fc964a36,eaa70805,b267900f,196bfd39,476f1455,98f89f7b,f870f8f8,440562e4,623fb203,3b36d5d,d8c0bb8d)
+,S(98eddeb0,75bdd245,aa1fb466,ed1e89f7,61a95662,e35836f2,e6907c5b,691b6ccd,af3fb5f6,b59124b8,c9c2ddc2,108a3a2c,bdbcdc99,ab296814,731a841f,570c91be)
+,S(bf42f806,59ae606f,a5e36fc5,c58379c1,8dd1c34e,fa98e67,68bf6da8,ba8e8849,d343fb70,6e4adb94,46f49578,26bae8c4,ca74a0d1,21cee98f,26be68f8,7555b8af)
+,S(40c1c4a5,891e8dc6,29075c36,56249fc2,c42fd65c,8c338a0,d82df955,4662e1cd,667223d0,e68ef6c3,7195d819,2bcc12b3,f2025327,3a05703a,e5aa10e9,cc689ec3)
+,S(162dd310,c8e3fe4,8384cf1b,1a0a2d6f,bfd3ef3c,5492fc92,b921133e,8f883dc1,1f2311d5,c82f02b9,f7197685,cf490e1c,3d0ebf4e,86ea0e21,a653c8e0,db5cff0)
+,S(ff0f8146,89eaae3c,f3f302e5,1089ec58,5d63c4fd,5157bb3d,bdfc7e40,cc6331cb,4dc1fdb9,4eb529e3,bae54973,778d1daa,f8814cdf,5a3b0c2d,ac2b5647,551bf2e)
+,S(143ae674,b011b557,2f472b22,44c6d9ab,14b3e641,54f4a033,c3ea3917,4607b78e,1528d582,faefba2,6018820c,a03dfd7,ca20298a,e199c99f,db9cb421,3601c35c)
+,S(f3adce28,8fffd45f,96fa0efd,32974d98,4115a80e,cd6b86f3,5e17b017,8d9009a3,20202f00,96329bb0,69a0915e,494a586b,805580a4,eabd4ba7,2d20665b,4916a20e)
+,S(d2270829,e2730d0e,2c8e6bc6,fa4c2247,4904ad22,f44fb2f8,5ad07558,c4d8cccf,d5a6b4ac,9d5bf669,5989741d,f262e412,27c66c7a,ae067a93,c6302f5e,8879a3bc)
+,S(26d17eb6,7d9bf2a8,45c57a94,82bb2f3d,8347538a,65c9f567,56ecadf4,352964a6,954af3d4,7d67c345,bcfc4a52,a49aa70,b8703d1a,fcd21c6b,7f7719c1,e2068fb2)
+,S(e4437f8b,e104c899,5cd1618c,e5ee7d10,36a52d99,31346476,bf68f21,e7fac74b,d6c156d5,b8256e6c,1a820dbe,3b56fc8c,f9b015bd,b81c756e,27b70db8,d995cb81)
+,S(8932e04e,96db6079,662b63ed,29b5a39d,ac5bb51c,d1ec70,851474ef,a2d3c1d4,5437e77f,e030225d,53f5166,8c3551c9,fc912a0d,a3bd336e,c0587544,77e58541)
+,S(fe776976,465b86c0,5b2003c7,36c8141c,933ed0e4,5c6dfd0,c7c82517,16617b26,b279dc5f,d576d506,d302b0af,359ddd50,94364d3e,255102aa,472e6d9c,c52aac39)
+,S(6c60a4ff,b2a29224,5c84ecbe,1633817d,f69eb73c,a6b9f72c,b86fc91c,535b45f1,278dee6f,814bcc1c,70301a51,f9c7853,6489af2b,d23d6223,1b55cd29,2a2a0a2c)
+,S(3132e58f,625f902a,98d556c5,ec9e8617,a955beb4,6e9c2a81,e121e473,9c9af04d,a5880964,a2443c5e,14db9220,446904c5,cf0a957c,945c5006,9438d869,45a9e461)
+,S(b05cee36,361a9bf6,eb9003fd,c8d38587,640e180a,9de822dc,57e5012e,34903f6f,fb473886,29519a28,b745ce16,d625d85d,26fe21a2,30d798c5,305d8e82,545c9a5a)
+,S(e202120f,5659e580,7a14e68d,e3aad7cc,23cd2f6c,abd86739,3a05f16,12005e83,49928b05,b66af992,d937cb4d,c05fbaf2,a70e8fac,7c081544,849d55e,fada136)
+,S(57a91d89,2e5409e0,b07e68f0,450614cb,9a9bf0cd,8c5b3459,2f198633,c7a796b,47905cce,59018fa8,baa612c3,124b1192,1dbf7706,c5d8d16b,bd5c1e9f,8498e7fc)
+,S(e092c40a,3ba465c2,d59e7c5,8265ddde,91c0468d,67428ee1,dd153b64,a5a7e8da,83f4e2b4,bdfc4248,2d4ab1d3,13b097f7,baa51411,134eb042,feb26f71,5bffd39b)
+,S(73a3306e,7baa4fc4,a081a9c2,c335d3df,7c1ee84f,f5a46554,f78a6009,1de0ab38,1f68c8f9,2022c326,e37a7043,9552191a,3d93f684,3af0a235,bce893d,eda1f938)
+,S(7c7a79f8,6e904961,73552caf,4a1401db,e99883c5,a39e493a,6a6eabbe,5f3a4434,85ceb252,e4883931,96c8ce8a,c0b596cc,a2670981,2c293554,15e17f8e,26e869bb)
+,S(6a9df561,ce4ff772,b37054fa,e513657f,19f03086,eda93918,623a1c47,84a37788,bcf0274a,d9b3bf58,331ba398,a6611fed,fe719867,106eadb4,2b25b623,fdb65280)
+,S(fe7bb24d,47b3adff,1c545d2d,ad2c6aff,81934cb5,bf2299ee,f3f8c53b,ff91c950,7fe65f86,9d2623c,930c27d6,f0a292cf,a881738b,4af0c5b,efde5c40,8a574e7f)
+,S(26d1d2f2,7944b77c,290ba60e,17d05347,82ce2b64,ae815453,1da42907,30407d3d,ec3c5024,3106000b,d0b2372,53581384,51b768d1,d5aa206f,4d1055b4,b4f0f495)
+,S(f00e51f9,38f91573,4ac563ff,8ea44de3,fb85cf4d,8f034806,e6c096d,8e73e2b8,7b7bffed,3a39a491,d3ab6a13,6fd88e0a,5854081d,21380c70,3c596771,a22c727b)
+,S(73e15472,f42f8750,93abe811,a4d4bca8,8bd179d1,4e3e3b30,9e011e27,37cfc4d8,392ef4ae,58321768,1106426c,9b00b4a9,c53c826b,84bcda34,b5d0609,f85b9231)
+,S(ed4667a9,aff30464,c851d86e,479df8e4,d29d2348,edaf8333,a7faf560,a9568092,77367875,6892d42d,469a9ab5,ff577e0,6d9f4fda,679882e4,3dadc7e6,3d49bb0c)
+,S(d6ec16ab,10811cbd,dcc346a2,64dbfe0f,51066f2c,79034d74,af5b0ef2,541dde26,981f1cab,7ac7be22,9a91b733,6c0b89bf,4763b01e,4a1b715e,f4857e9e,4ad0527e)
+,S(284ef47e,691931ac,8241d92d,2ee5b717,3f762ef2,bd1f48e6,8dca4b53,ab4c593f,ab739ee1,e6a7be47,83e1288,7ffe1b6b,b53a4d2e,3bfad3e1,c7ac5415,1bcf5e82)
+,S(530f9e7,5a267d0a,fc3ba53a,c49018ef,44b490bc,835774f6,c6cc3f87,8d505c3,630c481e,44e5e9cb,cf6d7fba,8f7fded4,bee9fa70,4b88a8d3,6e2b3bc3,4e85e3f1)
+,S(66a9b4fd,81d0165b,6737a4b3,8025d2da,ef9c4d20,3c49a2bc,1ba4d59c,eaa905f8,2770c44e,6a4dead9,7dd7311c,195d3051,12c86bca,257955f1,21b7b1cd,4e525e8c)
+,S(25812e7e,dca47b64,9b18d739,7474de25,39bb7898,96ddb94f,60192135,23a289be,4bba3d83,72aa76e,6ba76f7f,18cb8644,788d3ab8,b58d0e5c,795c6213,6f17e2da)
+,S(3c81be70,af162448,170f88b5,8fbf587e,df1a0e8a,3576cfd7,24acba77,dfb29608,ab16e48e,da59f480,7a0b5250,7102e9ba,ed9dc9fa,e0de8700,27bd5ff4,2aee13d4)
+,S(ab626dcd,a5142933,ece82c8d,125aada8,39626e90,85c57525,2fb24f76,e0d6e39d,8add774b,34fa4b1b,d571f2a3,4d8ebfc2,bb7be73d,dab73cf,e7eedc01,764abff6)
+,S(47f25106,120720ff,8cad6532,1a3e2873,aaaaed57,98e3933d,e1ccfe0b,f36bd85d,f6d472e,729512e4,ecb74ea3,f96583ac,cb44e013,ecd0bc60,c38b16f9,20585b60)
+,S(6fd30299,f7398f1b,3c538d59,71b8bb0,e1640926,752d0842,36148b9f,23c26b1b,3b8d6166,a79ce235,1a2e9c4d,c5c89ff5,7810bef0,277f3d33,372e05bb,ba6799da)
+,S(dd5b07c,784e1cd6,58c51ab7,45c4a09d,49db1287,dd7871e3,f449bd66,4a02e040,b26dad8a,62a491b8,dcced2a7,c0feed9b,6a04597c,d8a0f857,a4731078,d68d8659)
+,S(3cf5836,104b4227,aa275e5f,16b84bca,15b61a8a,700b56b7,dff2adf2,167fcdad,1cc6f65a,2cb579fd,f6812340,88018dc9,445af726,2db43b5c,e9e49e4a,ce00c9fb)
+,S(683b5455,8b9421c,c3aea163,d74c043d,d4cd804d,23857f41,3e01d28d,4919bb58,1bbe4576,2cd5c056,8add6943,8111cfed,691e2369,55022da,17cfddbe,79a11f0a)
+,S(d78661b7,897a40dc,5f42f7ec,4202ae53,e83ff0e0,d73ce7d2,19503279,e43b724c,465299b0,e3f478ec,fc3db82a,61d5f290,aeead2fe,d0ec4a02,6652b29d,cad20b21)
+,S(1258c664,fc15e794,e64dbb87,b4eebf1b,32e89e7d,50ec114a,1afa5506,19e15a21,327c4a92,81a73880,70d1a7de,c2a0e5c7,28c5997,bbc21571,94b0521a,141be0b1)
+,S(f2d04fb5,1cffe2bd,c6e43cdf,ae7314c5,387f4dd2,4bf7fbb1,a6ccd627,86e8be00,89af3f8d,435f2152,8d32ee47,a86a2ae1,78d3a7da,c27ceb37,93250a8c,27061c9e)
+,S(b67bbec1,4ab23ad8,e52cc402,def0083b,d21551a1,92a9df6b,b335481e,3f0dfb08,d6ca6bd1,93838993,5284528,56587554,3757cc13,fee01fe6,698b30f8,10a64a23)
+,S(1baef1b9,fa401fd6,a053ce90,f2d661b8,8a466584,83a8489d,90d48312,2b79235e,28a19a14,a2f7817d,922b3872,cba558ad,bc1a69c6,c0b65ee8,3352494,a31699d7)
+,S(6c0f066b,23623a48,b2b6a746,801baa85,f58de56c,e5287c79,c3c10ff1,b851aa8e,ec837256,84cb0f8,e528bd94,e1c86327,2347a479,2059f357,4ccdbb93,15ff0868)
+,S(fbd5bb09,65bb9d22,bea6d6cb,7aebcf28,a0c815d6,18b79c0d,94913dd9,f63619d7,3303574d,5e605e5b,fe298f77,e20f3f6c,60ccc063,37a29c7e,6612dfca,3f00b924)
+,S(2246042a,c4b22334,af6c81ac,8106bd1a,f8bd5f2,8dad88fe,7e568fa0,b35b1739,1da0d8eb,9c10116f,ce29bd9,61f92e36,9e538282,345a4f79,7cdabc70,5aff6e7c)
+,S(470a914f,2fff2d37,835b3caf,542cf50b,9606cf6d,fd294c51,5632d9f3,4182bc4a,6b3805a8,d2c74856,a5be3cc9,e9c6a8eb,4398c606,81ce12db,b3a58660,1d426e)
+,S(4e03f50b,ffb6d933,4282153b,a3f909d0,44bb7a11,50300c1e,cc8027b0,321b4be0,596c58ae,963e71ec,f1fe8f9c,b4de8cbc,9149b125,31e83e0,95f6e5a,b08c504c)
+,S(5a6c4fea,b806bb76,191567e9,139dde28,188a26b4,a1803b7,d999278,fc57455e,6e81d07c,6505366b,c28ea476,a718e5f7,353d73c4,2f551459,d59a7d7,82e6ce49)
+,S(ed73c9b2,9adf52e2,1280bb1b,ef63dd4d,74f4e09d,1be56c3,a246dc37,9b29bd5f,e9917b6,19ebe0ac,c7d1fa5b,7c4b7c52,e272ad9f,2df62161,59dc87b3,f913828b)
+,S(68c6145b,38cbf9ed,4af10608,503ca13f,710dd34c,2386fa99,bdf93b69,c01c04bd,c963585e,607d9eac,5016f884,df535a9e,e7cb74d2,2e0c1e9d,e928d7ca,3fedc73a)
+,S(1b651863,927317bc,1dc6094c,3f5c91cc,92269a12,59879b6,a8439a77,b0454126,31c6125f,8ac3d09b,d8c1fe92,c31bf13,c42b1915,e7147cf9,1371dc01,e8f5009f)
+,S(45593ccc,dadbde3d,456b74f7,a3b705de,7229ff20,90a0df0d,38166d4e,6a09c52c,13d6657d,89fd0205,3c2b9a31,1ee964cd,e14634dd,20d85866,a43a4ea9,bc0bd737)
+,S(1409c06e,d6f2fa2f,cd532983,d28c2109,e4dd7c1a,4ce77960,566d3eb4,37927da5,dc05f98d,4206fdba,e3b69836,e694b71e,fbeda304,537bc623,90edcad1,460984e4)
+,S(d9e08c6b,c307b056,d4323921,5426febe,5d6e5cc8,4eb73707,4e2f00dc,e85f4580,a23c1647,c6b47a43,a3ab52ad,da32605d,172f4de4,201834f9,15d5a4b6,292c632d)
+,S(7df319f3,d3c2b6b7,3533a916,64d5fa26,5ac0f18b,bbd5e8ee,1aa15dba,bd62fb32,9120f6af,e023bb98,1d6d8d96,31de0814,a9bd169b,a91af0b7,9c3db58d,2bc9f8c0)
+,S(1a94e587,38b9fd1f,93146232,e2165798,11d74244,9bad3711,a373445,6986d7a5,332a27b3,17eee7ae,fb4604b,197f2db2,fc32549,ad86765a,74820428,abe4352e)
+,S(dfa2cb4d,6db266db,2a82ef8d,fc0cf871,4aefff41,895ff691,fa0781f9,1b619a47,c5e5dbab,3a28a6c1,8cf20fef,4cba62f9,d2a1a0f7,6ea7056e,45acfe4c,49ad8b19)
+,S(c2201007,be6bf76b,5e82c135,2a6e053b,acf4e2eb,c10a417b,f35e4c79,3a876730,92408aec,b9ae4d74,3af97c15,9c387343,9a735de8,90d1abe7,c8d14dd,fbefa581)
+,S(d45632d2,ab087f0f,9d0d4d85,26730742,2f25c794,efa3815e,33e8285a,1bd7edc3,b7ce3697,c4994fa8,2479e99f,9c9e4b1d,814e7258,da7ba569,5543d6ef,8d5ff44f)
+,S(8cef362b,cdc292b4,885f34ca,923a171a,df6c25b8,f6b7cded,c9003b71,cf5df93f,b3910f34,ed8b7fa2,bfa4f1c1,9d41d99a,d702e13b,5dab6bdf,2608186d,d09aaf5e)
+,S(247f7be1,874c2831,17d60431,8184878d,3a415ae5,59595bfc,7f17583b,3cbf9838,90e235e6,a779b4fc,f9521da,65f65091,efd513e8,df338464,2f8a7cc8,f1f30eb8)
+,S(b8c0cef1,c8703adf,411dd0b0,acaa2b82,f2609348,e36aac56,b0148ad8,981cf568,a0419411,47019aa1,4b8e74a8,1d49a97b,45e7aaa4,54c0f916,a33472ae,1275f14)
+,S(8e55776e,6e1c791,2aa6b43a,4dd1bd17,a35ab0d,aad792c0,ab51bd86,8208cf09,dfe4ccc3,a025abbf,c2d12bc,6d462e6a,cec7307f,6daa9c01,2c8a7ad8,70822d56)
+,S(f1cf6d3,fc9d9824,4e122790,de390241,db813b70,c48b667c,5f05846a,c3ad1ad,4925c6ab,3952d1b2,35ef1ec7,7ae7a84d,75006993,b173a6f6,c8b969af,c3984799)
+,S(b49dbf88,dce5ee49,2b4495ab,9db762c3,81164147,cacbc00a,9e56670a,edb9ea31,c0f92f17,ab5797c7,758d703e,fd288a46,8971f7c2,de8923fe,b8b7acfa,ffa9ef2a)
+,S(d6afe2ad,257b57ed,15573c50,a25f7dcc,399e2643,9e64acab,9a8c9f75,d8ca362,5df236b8,6919b56b,17140249,16282b11,38d355a3,561c5b42,b47ac6f3,8d35749d)
+,S(bb0284c5,f23365fa,5972a439,fcee4b4b,45b48a9e,6844a44b,53e12004,1ae8e89f,684bcc0d,e09e5932,79018fb2,aed55329,53221dca,6f14f493,6ae76099,ba265300)
+,S(57e95714,8a409697,1b8be621,98a04177,c4779627,ab5a77e4,6e82d847,e64467ec,714bd1b1,14ce2580,7c6d3a8,f12a5375,fd8e7cd2,5e854c12,6bb519f2,cd443f13)
+,S(b0c82f60,b33c3b47,523ef2a3,de804521,a1e14478,eb637757,d17526d9,1e713094,cfc8d1b9,d763f52e,6522f70a,c93f7fd9,23d163d6,5a82b2ee,ac1af994,a2cea63c)
+,S(2ba76170,404785bd,5932c185,c6d98ed0,667d8324,ff7f85a3,5c24a4bd,553e1ee3,1810790,74262af5,607167d6,b55164d1,e56aef19,f3e2f307,205d5603,eeea35b9)
+,S(5bd54e13,d508b920,fb1d15c8,27e0ca59,3eb1c85,a7228895,b5c9235c,6ed3e88c,d65d35fd,5607e193,ea70ab1e,4ac7d822,878017ac,ef3bd6fc,2b1933af,660cf0c9)
+,S(b0bbc2d2,753bd89a,b2bf1664,e6cf212c,a590d65f,5664e694,7ccdf977,3ea8d09a,9057b6c1,a1078bab,a1419065,4cc67052,7225741,1f34d47e,47f09bdc,8f993c23)
+,S(c1701203,3cca38ac,ddc0fe41,95452129,b38b4630,20e8c459,224e9dc6,cd3133a8,c495d87b,1cfb6f67,46c07188,86c08616,624f78b5,ebf4fb14,fb6b636a,f5557e9a)
+,S(1e0bd20e,5f1e49ff,32287961,7fbc28c4,7c9fa4dd,d93532ea,74930a24,5fa21bda,2d407400,e98f15d,e5da681b,2472fa11,b2a5869c,66be1cd5,7038e160,43dd6177)
+,S(5cfc223f,ec4c6618,ff12a974,8533a70,f39defa3,bc05f88b,3a1b158,317ec15f,7d928bd4,89e3719e,6386ec22,6c738b09,eb4468f7,b6718cf9,3da33544,aff21411)
+,S(f506560a,bebd668e,57e514e,bad47a84,5da345ce,50ac0e88,1cccc2c,81efa67d,e2ff0bf7,c9c2a99a,bc3580ad,17f64a26,63111fd8,15bdcd63,9d9a7d3a,ca0fc7e9)
+,S(8448fe98,ec887485,45a46e4c,449d0168,1d00dcae,5bf96ef8,306e7bd8,26c54f45,d0f07229,17500322,2dda8271,33481376,85b20045,f69d656a,66aeedab,ea6f0407)
+,S(c9a6857f,db037c2e,36d5ca71,32942f34,2480cf28,a98644f5,6bc455ba,97cffc55,a69e08b9,8f678e61,6c0b8326,ced6f97d,f742d974,b68cd1c6,b798e367,8faa149f)
+,S(b5d13f5,c611eb3b,c82f7db2,d89ab19f,b8fc286d,8e4699d5,3dc664d,bac4011d,27eb1650,7cdc0fdf,5b92493f,f2487d0a,ef2692d8,9c702bb6,259808b1,324b7adc)
+,S(bf9ec5f3,2e0ed4ac,c001b887,18c29c6e,90218471,d7f1afad,75abb34e,da35ce44,13846488,892b4065,b79224ed,368c47a4,a1734f68,7386546b,dd837a80,467ef2d1)
+,S(2c3812be,4d3b1c13,aed1f6bd,1ca6f5b8,893c5a87,ad6a8f2e,d6d92ac1,3a526e19,366b82f1,45d551e0,b7bcf877,db340bcb,1b11edad,1466baf3,24a94cef,3433aece)
+,S(77bdef28,dc8ef6c8,7fcd0a13,c08a26e5,9fd17253,8d8bd3a6,f21c5c86,ca33f572,da66b0c7,bf3bd49b,ec1fec,aa580a51,6977ba8a,83f957ef,8167f69,ea3c3a1b)
+,S(bc4a799d,3185877b,cd86503e,3f34c606,8693bac0,654eeb15,4effd116,8b71afe5,53fcd7f8,99a8190e,a7159c99,e261525b,f59abf6b,d331be66,4f7f7757,7255569e)
+,S(301fd884,733dce05,6190e4c7,d0375078,6fccdb6f,2e13f9dc,e275c188,2efcd040,79e4f9d5,185b9f51,fd835cef,64be607c,312c910c,e25cb73,5de2c88a,51e25cb6)
+,S(241b4a9b,be5e7e54,214d0bda,13719c42,133f8377,e50db2f3,87b6018a,814adb70,c66edc08,fa4fd22e,1f76bca2,7fcc00cb,a8ce2100,248b3959,3c164847,b410bdb0)
+,S(be6f1639,68191289,3c5c1351,d633d51d,dcd28c16,f3294981,56ea1602,d8c79585,6f674a7e,1a65539e,a7f8a966,8f5fe5e6,1ade5da0,a543335a,5f7a71e5,fbafff21)
+,S(c8b5008f,79c69e2a,7e209ef6,a2d14b9,b3f7bfba,b7fcb285,e237cb31,3dd3a283,1dc79348,6c3cf7e0,bc36dd7,46efcb36,3cea15ca,a63008f5,2d83ec0a,6bb54bb9)
+,S(5014af9e,aad5ed62,4e997ec3,a796ad1e,b038edac,77cf27d4,eeda7ff4,c06c0998,e01d786f,b8faa1c5,2d44a77a,987b4b6d,91143953,34977151,1a488602,3189dd7d)
+,S(6ffefde6,2c40643e,da2d4f28,4f28fcdd,b0845ec0,8d882d2b,45dadd8c,a7bb989a,8e2b183c,782d3a9e,2229e4bd,9a2becbd,ff0a5480,6a6f4471,7fb6fe5c,8411cc0e)
+,S(ac762bbf,190e1374,d32a7e5d,b4c0c36,ad0140f,c1e92290,4aaff1f1,487d463f,ccd79f18,31016b40,a381bfec,5db6b12f,bc34d850,ed81aa7e,435a513e,5f3adefe)
+,S(973496d6,3ec05c75,93244e7,b737b1db,d791a5cd,e828f342,7968eae0,e811cb24,4b2c9bc0,44e3351,f637ff52,5c3f34f3,d7420b65,2f57bb7a,bf573e67,25647533)
+,S(a9d89166,5f77bc30,74357753,9ea39e36,c39ce300,6fa03429,1a799b34,84a15d32,d09c3a17,fdedb8fc,f4f9ce98,20635a50,56dd884f,ccfaa96b,8d0813b8,4b80e213)
+,S(108a8ffd,aa2b544d,8b8a7419,f2421bae,cbab636f,60d6ef76,9eca9a20,a0c5710b,ad3e9fc,ab04ad58,a265776a,75f0e389,cebbb273,9df328d7,b125665c,d4e0249d)
+,S(ef969d7b,c8843c57,bfc0ac6d,f5e4495f,9543878d,95120a36,de8c5bed,727c5fb5,5ab81bb2,26738036,b145d81a,1deaada5,d1d4d653,7b80b02a,fc1cf85c,361f16fb)
+,S(ab825bc2,4d505453,f12dafb2,8f70b245,d74200f2,410f5162,b0ba3096,43c39b62,789e7df2,23774415,da7e31da,277a81c9,708098b8,d455594c,6f9cb065,b1281a1d)
+,S(4984a4e5,2c173c02,ec79198c,f8496972,eeed4e39,9933bac0,59856bb0,48bf2622,4596b67b,79be2e61,a0887a9c,2cc3ccf6,f199e924,3991f434,8e7cf897,acc5df3f)
+,S(285c6ff4,93c1be13,f4f60d0d,8aa7cb24,4bf0f76a,23f3efbc,cfa4a132,625f7272,39dfe9a5,cf9cef28,d5cfd998,49db9b23,c4caace5,e8a27c12,12d7b3d9,d3ed49d3)
+,S(1e14b1d1,7e721971,e9266717,13100aa9,9bc6e506,c278ac7b,348b708f,843db340,63a239d,d705f627,347fe464,c4d4143c,394d7dfc,5f79ea11,64d05f04,4ce41cee)
+,S(b8f73b9,ed71cd1e,f61dcf30,9cd48587,3b1394c0,4cf318fc,10140bb5,be17c8aa,8af5dae0,bd66ec85,2ff4823a,a1be65ed,745676a,5ac42ec5,827107e6,776f665c)
+,S(7e0c7297,e878fcf6,cb636776,d15afd0,49c995d3,1cd49d15,e624bf6e,8714540a,df5795f7,4c512043,f48b7568,bb271a00,ffd59530,a0280e5,8aaaf0fd,aeddd658)
+,S(9f0ed1d,465bed9f,a2b51133,fcddfe48,10999011,b754acba,de5fd027,6b798545,7005ec9c,73bb0e00,64badde0,12aa99d9,d85b6c38,e63256e9,21799990,14a8459f)
+,S(2d556f5e,b5c5af0,160608d,80e23cef,cc8e4000,b1e35b12,5a0a51aa,9c8e12bf,7600144,25bc3baf,1dc7f6fc,1fd86f41,d24d4488,f80ab8a9,4e4422ca,15f12000)
+,S(2617667d,7637e02c,b479524,d9c7dcc1,2cc14ce5,4149928e,e8d81bcc,835ed3f2,521573ba,2cd809eb,8f5496be,478ca639,7a2c4e16,1b299ba,bc6ae419,4780884b)
+,S(6247916c,5b519a64,7b76e10f,8810a3f3,4cae40cf,ed05a492,ba1b061f,d9aac10,ffd02570,535ba978,906a193c,500da1d4,602b0969,c3e9f4ca,f2d33026,eee7f098)
+,S(c40b27e0,8ed50a88,60017e78,ececfb9,ea14c64a,95137db4,fa55d4cf,9a3c52af,2415cb8c,7d025b84,fd9d1e97,7105aa54,c4149fb8,30ea801b,a86f1acd,e07b6493)
+,S(ba5aec8a,54a3a56f,cd1bf17b,ceba9c4f,ad7103ab,f0666974,8b66578d,3e0de12,348dab11,abecc4bf,3c7474d2,8ea5ba60,a705de60,39f9b70d,c49d58b0,6d57ffbd)
+,S(ba14e658,f8dd294e,1331262c,ffb3f31a,c1e9e504,e55c7f67,5c002248,94076268,ced74905,fc43e55e,c70cb36c,66dd9a10,c221b0e3,a326e365,9b96de4a,c81aa1dd)
+,S(3375af69,8880c7fa,29e718cb,4139ab30,f9c1d00e,a1c22d4,cfbdfa16,a7f4aff4,cfa8b491,a83be5b1,b66fa0b8,5e26c68e,8d27db79,ce55d726,ddde67ee,ce295a27)
+,S(68d2614b,306cfdfa,e9fa109a,2c4b276f,5b9a8ee2,f7d502d5,efc94aa4,bd9f01fe,148c36bc,f04365ed,7ddf54e8,4d40fb59,ef9e1d48,8408c8f3,661386c8,5f48550e)
+,S(93facea5,597703b0,ad2990d7,1d63387b,900ece6b,6c3677b,7fc47b7f,1c533edd,3c801bfa,8fa114e8,b5c19985,39a1f6c1,c20bbe44,d8ee7179,7454797c,942ad5f4)
+,S(f11dd4a6,72f73118,95775ae1,76c90b2a,5a0a61f1,6ca205d6,eef6c275,75054277,bc06a16d,2ef2ac0f,7ea2083c,ac18d0d0,6c307d45,51e0a0e8,3f59b568,b9556ef6)
+,S(42ebcc5d,710ba454,fd29a94e,f83c8004,b71fe85,9725c010,f10ca39c,864204f7,f8aa84eb,643101ed,4c7d5cdb,271d067c,e633c17c,dc698e40,279064d2,d65f223b)
+,S(d40877dc,d96d5a94,87b6fbc,e89d19a0,549e96da,13f1fb2e,67e9e3e1,85c80e52,be9bb9b3,85f20fcb,8e57b59a,ffc01442,c0be8306,f5d9087c,837e234c,5e789444)
+,S(c18b2c98,cd2110ab,888ec934,239240a7,aa40c1bb,ab8d7e39,8fa74358,2562931f,d9621034,9147d74c,75df18cd,1066c40b,b83f189c,937c01cb,24c2ce97,155773f8)
+,S(154d6b22,1a44f841,1cf4fa0c,4bb4debf,6fe94658,c648f9e4,d14f88e3,e05c0bd1,df0bc307,c705332f,328bbb6a,dd94e63f,7c1074f3,ebc55976,de552a59,5875559a)
+,S(a38259e5,629f93b1,a397d228,59842dbc,24485d59,c3ab86e0,a9326a35,e1a26f15,69b5accc,2fe52a63,b3874932,e8a79b8c,1713274f,f435d892,367bb9ea,91f783fb)
+,S(9d729eee,e91e3493,9925a7d5,2eeded18,14827029,6f822013,d4db2a3c,763fcd19,6d832154,3cc8621,166f731f,2d874fb0,9cadc09e,4e330339,657aa2f0,e3e89a1f)
+,S(2674f008,86307c7e,576cede7,944a9f9b,46398c93,8a0f8b39,b25701b3,67751e3a,3e9eb42,6ac9d1ef,837638d0,7b0f1f4e,e31bdec7,a9d22fa2,12a666b8,193f83cf)
+,S(b2a06d5e,adb1b856,dd28e9fd,bb626c0f,b7c1642c,6f70c2c2,743f3451,4e237f41,5d4caf8b,8673b268,227baed4,481ad60b,de579a98,4d005f5f,f3bcead6,3bf664d3)
+,S(20b27d64,d61debdc,ec3e4ec9,2040f05d,2b278c0f,1415ba60,f0bf23e1,222d713d,481d85e7,ff5c2df3,5cd26488,6056750e,c8c5c809,bb3afffb,41e447b7,a4e516a3)
+,S(4f4a610c,450eaa25,f60d7c15,20c551f7,5270930f,45a7c51b,fc7cd5c5,3ce3f2e5,df1e8e11,db416228,672d8d8e,f9d68ed,e824234e,fd7de39c,2b32fd90,3a47f328)
+,S(9b375ed8,504358,25570b4b,e359bc07,bc06c989,14659e9e,776fba36,a8aceaa9,3d056593,385c0069,915de5b1,f59c3483,22683440,86dcdf26,d1e6ae22,35e90927)
+,S(43640804,5d432c87,31f865e7,2390b7ff,c13aff87,37fcfba4,60c0192,2ec9d1be,e2338eaf,6fc73fe1,e3df2aac,54bb4fbe,5aff2a92,5b8b16eb,2346b220,6070cbeb)
+,S(a6e59c4f,24461172,4161f35c,fbe88d4e,59287f2e,f2b9ea39,4c476127,f41e0b66,75c70747,f5dd75f9,41cfa470,c4cf718a,57a8ae2b,2e7ab277,5f5ec5fe,7d9f334d)
+,S(ff639617,ae7351fd,977bf1e8,46a6d33a,5293a959,74b296ed,7c9a007b,25322d51,e6123dab,fa2355f7,653f81ff,ee798353,e21dca71,ef40639f,79d73116,53dac457)
+,S(77914840,1710d8e6,8a37cbc,5ad5e284,c254dfee,1c8b043,5f8ddbe9,4ef4faf3,d97f44e9,9ef3d4c7,4075dc3,894d2a6a,623be446,32c98eca,a54b8ed8,e0611414)
+,S(f68910aa,29254aa,10551c00,adc135c4,947cf1fc,6dd8ee5,d42579fb,79484aad,40bdfbdb,33a56d63,ad587ea,fc9784de,69f9f5c4,3f5c7c94,1b9b59e4,c052c1fc)
+,S(15be8f81,473d4cef,719c7501,1d560d84,f2d4d8d2,def1d696,29f62464,1b6e0fd3,7e66f926,fc991b41,c451ead0,6d93267,64b85ea8,849047bb,1d28eeee,70fd9a2a)
+,S(e113d5a,2e22302e,f4327297,7c41c8b,d0c5c26f,9a0bd9db,9091abdd,8a84e9ca,2e4862d8,34c6dc45,17a6b70b,2f1b2c5b,b54941d1,cb803530,26a257ca,f5574dc0)
+,S(96b10770,485bba67,7f620d9d,ec0d1be2,2c94dab0,57d6d595,aa78dfe7,47bea688,e060aaae,222726a,c1a1bd58,fc779d9a,ff854ac2,4a4996a5,2259e9f1,bbdbf30b)
+,S(81742f00,5555954e,17e5e899,d2cfd8c,57f6f7c7,5a38e183,de878934,2405545d,a1763fc2,e5f705f2,e6f2fbb0,73578fb0,a8d742c6,8f92236e,df1ee03d,2ed2fc0e)
+,S(17c19f13,96988f62,77cb72ea,f90d37bb,86bc7a0b,e16c1c17,fcc481ff,bb78a480,cb1290d5,210164eb,621c2642,ae3e51b9,3f430e60,718f9fd9,c5ec3bb6,53c78833)
+,S(7b0f06,e8746ec9,c6648b2b,bb861548,bfeee507,63c01c3f,40319beb,a2497a3c,c6949378,84297d8e,308b318f,1caa0c7b,1634b758,9d6e8c6a,2fdb778e,d6a70020)
+,S(715c2b06,2414183f,9a67d8c2,8a89b754,55a80517,cb1b8134,5f56e91,12c5e8b3,f89b89c8,9a795dc7,1e2d4cca,7f84b4d5,23167f03,97787b33,9205773f,2520370b)
+,S(e0d0ce00,f974fc78,76777662,efe5dbf5,57aed09,dd89a4c7,8f1f40dc,8f74d3b6,acc5be65,ed704847,94bc7f05,c4c5511f,c253befe,7cb3c0d3,e85704e2,e3e3eb56)
+,S(37553289,76fbb8b7,9a5aaf75,ecd9d2a1,bdba9a87,5bad6222,e770ab1f,d26432a2,6dbbe233,1b7e064b,d80bc7d0,12b2a088,1087e7c,2c5c1d77,eb016108,c2ced92d)
+,S(2e95c3ef,51ea9036,8683f6b0,8b2afb04,f46ca651,2abdc699,446ab3a0,6fe3d3ff,905ea87,b1d8dfe0,48463b94,c61dbc62,1556c66,b2b498,39cb40c3,299b554a)
+,S(25310e1e,721f3245,7f35c67f,b73553f6,6467580d,b5916cf4,fe7d75a,c4ff8eb5,9c5e52f9,be42eeb5,425a359b,87dcab1d,46ecd662,c17eb041,16b5430,786b4ace)
+,S(25932b1b,2b24fc2d,d7877911,7d7cb506,27a23b7d,7faf53b0,cf707f51,b7830b7b,7e8e23b4,acdb26b0,1d7969a6,ddf3a2ae,2215e206,109cf3e,4e32d91,df536765)
+,S(7d232af6,251f7667,ba69ba44,397f5b8a,892e135e,b09b684e,22b16a44,73c5ed3e,a3e8f638,c8a589b5,8cfdea61,d9824f1c,131b9045,9509b92c,1cd26571,a6d8356e)
+,S(4d56caa0,1b65ea87,ba3e05b0,a4495606,6afc8645,4847633,cb9e9755,c8c720f9,14c34678,36e65197,ca3f1ada,936f0348,7c1eaee1,977ae08f,50f41771,77537330)
+,S(71abd165,ca6ff8bb,775c81f4,2c722ed7,2615b503,3727dc2c,122efbd9,c500a88b,79ba2467,7284f86,2fb1c46a,e11ac4b9,a5969352,64224eb9,c39ab884,492620f1)
+,S(8462fccc,c3810519,cc449634,5c5d9e56,30215e74,c41179f4,2002e906,56a48965,535a966,cd7fb998,bc548a7e,29fc4640,f0eb75a7,5c3c05cb,64d09048,a7787d4b)
+,S(f68eac93,fed751d0,b578b5c,665684a8,b9c2b104,6fe45ae3,286e9351,36c09826,98e0c32b,98b0a8a2,8f119ff2,fa50e54b,66f7d8d5,732a1831,7334fc45,fd48bff5)
+,S(61447250,9a8d935,9c0e4014,f6ff569a,43467dc7,e4940b16,15f442b2,d9f72041,fb7177f,c7f57ee7,deea7108,dfbea888,fa58f209,2aeb2d2e,b2f33141,7ac8f807)
+,S(ea69ee11,4ffa1bd2,e2259a26,e2d88cf1,c9846ac9,379a1497,fc28ecc5,4b15614f,589b81b5,1dd6d750,91014108,3dd6cf3d,63183d1b,809b62c9,b17b768c,5ce4e2de)
+,S(34727b24,3404de96,641a1ce0,d7ff150b,38e6aa15,c51fab78,1464c660,4e5d5263,9198326b,cf56ca77,35b9baad,dc0069d3,1920bff2,d5bbf804,435289d4,d827d4f2)
+,S(952452ae,613778dc,29e2d275,6e98b4f0,eeebf4d9,526cead9,52f8d0d9,9e217461,c08b3a28,c195fb5a,f9a50eb1,1b1411b,c17f6582,dc14b5ff,797175b,2ad486a8)
+,S(fbca3f18,dc4a8bc7,7e9afeba,66610306,401b8342,bde2dbfd,2d4a156a,e78e49ff,2b829d6d,6027b2de,eda0db7b,c76b924f,4cf75573,bb9329b6,c7b7e443,f94129c9)
+,S(c7ddf11d,7ddc643a,957dff64,a08a4a70,5302bfff,b940882b,57bc4c15,5bd8c141,e9ca11f1,ac93b018,3fe8146,839be79b,b3711ee1,8a3daa88,89d55669,6e708e20)
+,S(71043a30,86e3063e,b831f7e4,4e682181,1b3f2353,9cb6efa2,cd0ee4a6,70ce31b8,4db3f338,ef9fd273,4aa9cc92,55e2984d,9334c164,5320b411,ebcb7cb4,89322c9d)
+,S(6de4ea40,15347cbb,d9349d36,80fa375c,5d70f044,799134c3,dbb6a776,48602585,3b76588,65ab52db,eea8d839,47025cf2,458a3243,38c73d70,f1d77df2,7f960418)
+,S(29faa79f,467cecb7,ea17e23b,6f7ba03d,db9a0cc0,e1fa6215,bc425696,ba4fecbe,e5aa691f,c42fbc29,c1f027d0,46bdf106,64a2245e,d2ff1154,e50ffa1b,48f34838)
+,S(ff880bfc,25ae5b22,78e5f15a,2bf8f5b,d750f8b8,74910f79,c8c42f93,16aafc99,9535f70a,728f79,37825bd8,1bb502db,60e7a166,bc8a0b10,5eeeee82,3a5747df)
+,S(b781b6a0,3837f6f5,8520c566,352e8c09,60eff0b2,42524eee,f6a6bd2f,a4a2a378,acd7b7d4,6c683dd9,43722ee7,3c12b69d,cbf8389e,62755e4f,c44fffbf,4cdbbb62)
+,S(6d976593,e8bac5d0,da732c64,82e4ac2b,b3f19062,59045990,ee540a3b,467406db,30c353e4,af6d8161,6c0bb9c0,f2a4aaed,6cbc1825,9a8b9658,3bd7e9c1,2f2a8b6b)
+,S(18ed676a,4dd3e0db,46212112,9fad1e13,683ec782,2a6d9401,5d0866bd,6cdc3032,c86b06e1,5dbfa82a,5f7b9762,65e03670,6f9a6e7,7ee319bb,8ef26b16,a51bd5)
+,S(3138e38,e9440ffc,c2cbce4d,aefd4b8d,d1e859d3,b951d18c,eb3540ca,db5ce2a1,df8ab1b2,a11a8667,dd660a13,490c6e6f,fef4bc40,94efa9a3,430e28c9,6895c241)
+,S(757df4ac,2025c9aa,b8ab1e76,149a9762,163ce608,f4903c3a,91571cf,e8b00c95,ff0af5fe,ab36c5d8,47d15ab7,65000765,c56bd7cb,4d0fd8c4,a37d4ecc,dfa03430)
+,S(8a697a52,7156589b,d13319a0,81e3b2f2,ce09de8,450b95cc,9aa70409,884c27e1,9eeb93c,b6029e9e,37f2815a,d332d5d9,5a5edde6,bbf03ca1,3df09f86,ad51f39d)
+,S(b0bb6987,36f9e0b1,6cfc2198,e37a84d5,d35eb89b,d4f4c0b1,650d60e3,e58c721b,33d5b200,ce25b501,6f09808f,b38e82d,b855615,2f48c1eb,b3b6363b,ed6e00dc)
+,S(1ca0edde,5dde4634,2637882a,d2f8ff7,ef6d6f5e,906ae2d8,d9f1b545,c837efed,19efb5ae,4cff683d,a7d5d4c0,f5eb9f3e,4c4d3a4f,ac58ee41,acb9ebda,a82863bc)
+,S(780e5b0e,b9a4e57d,66a84931,1e1b765,d59ad11a,de4e921e,d90fc422,4d474aa7,5ebd9ccc,58cc5f21,2da579f4,c79aa3a4,1d8f34ff,418516a3,d339320c,133ab811)
+,S(f7e92ce9,39808505,2d2af620,cdf210a7,30ec079a,54bf1468,edf686da,34eb4c9d,2c559dcf,e113a961,58fd54c0,32f14ada,57c23496,7a88b585,7b1f7ab9,78f93666)
+,S(3c3afa20,75bb20a7,8f9ff809,20d80d61,3a5688a4,269336f5,4bc7da5c,4a89f938,7ef38308,1dd235d6,e563a9f5,46435f22,3bd836d9,3f1d132b,978f3f9c,7b888c8d)
+,S(71d6f01d,ee60f9b5,75dec59e,7e56123,89fb9edc,3019115,af4fb155,f22097ee,e1ccc245,4a31a35c,52854091,fb414321,38da4fd2,eaf1680,2ef0470e,1c80bfee)
+,S(9726660f,5705ec80,908a77b2,8e6257de,b107fc31,c58ab6ea,1f5f75b9,38c4fa2d,94cc07ae,3102d1e9,6118c213,b6db0c65,d3636fe7,8ea40c6,90c86949,b48cd4c1)
+,S(ace5d0c7,54b2a1af,691a1a2,97e8b632,297fad12,ec1fc4b8,7fd02ac2,b2802719,924f9f24,8d3e725c,eba491f0,5f188d6a,7fc843ca,d24d0858,1f4c9485,8b9f85eb)
+,S(fa51306b,34800ff0,ccd778f2,838a4a2a,8200eafd,622e98b8,8fa566b3,85943f64,b60ee616,6b144873,a1cee030,fc92b50d,4b67757,ad34d5c8,5f05c871,4296e293)
+,S(85df9018,329d25a6,79c097ee,458eafcc,b716a59,611730f1,7c19d584,2dbea60a,c555d5b6,46d211c,e99ad7c0,9e787774,b7bc64c6,f2f6980a,e62e8911,897ab0fa)
+,S(2f77c00d,c2024467,ab461b52,ae634a99,337ff5f4,780637f3,efb989ce,24af5e3a,c7f4a678,ebcbfabd,870c52b0,be7efba6,c5d28e7,aef2b253,3f0e7fa,905e3e39)
+,S(52d8a23a,720050d6,ff6a499,7b802bf5,1f238df5,b0ef6001,58fc48c2,228bb34e,98ae81a7,861b8e1a,162d29b5,1c30c786,cebb1812,c91780f2,ccd302db,803d9136)
+,S(a7f3e479,eaca0049,22fb8320,47555b5c,701daf22,407462fd,37b0edb1,7212b211,80f6190c,8c4ca7c1,7ba68498,d1bac039,3e33767c,c476fae8,e926500b,9fbdaada)
+,S(31ef3150,e67bd326,61bbf4d7,942382af,73db5799,8f4880,ea04607c,a2356103,7db8f5d6,655d28d1,93b50bb5,14b16ed5,bc03c46a,e3d2c954,631834b1,a8a9a8ee)
+,S(ee82f155,469c0299,39ad1ee3,52edea30,599b0cd3,868131fc,eabee245,3b8b058d,fd0c0d4e,2d77c2c4,2add9ed6,cadb898c,32de9398,f0394400,eed2ff30,5092b10c)
+,S(dec7c7a,bfcedd6f,a9f7d45,8a071575,27354990,b456873e,206d1f7e,556b4586,af841ab4,cad597f4,186f0912,b79fe320,2c7626c7,b85cb276,73c18010,747200c4)
+,S(c28e3370,48cd6fe9,7591ba40,5519bd80,2bf34f12,ee48762e,526b34d1,f4d2369d,e00abdd,da456731,7f486dba,6976ba13,b8640f52,39325a64,7d50eb17,f0636e8b)
+,S(47157ca9,2c275f65,c29e9d,b0f23531,37027731,1cf05a93,7145123,df222195,648b17fa,c911fd25,af87e9ed,441cc874,9fefeb72,b34f8dc4,f430e0ce,89cbef6e)
+,S(84d11702,745c53ce,d81b5503,79ff1947,9a0a9253,a7ab3868,f5471a64,6ca73241,4f16b6a2,c3c087a,4efb1353,644e64cd,fc593ec1,d8d656b6,2c0e0bc2,25f858c5)
+,S(3bba3022,196060b8,6b2b2f28,ea8811c7,c74e8128,8e91adcc,b7fbe2d7,97d63fc9,7f34054a,f0945373,a77c5aa1,2ea4f54c,879d3f98,b6e7ef3a,9d73d2a2,a734e286)
+,S(85637f4,7a2c6143,2437485a,b3d40e70,b9f74606,aa8538f4,425e8a06,98651c6b,bc6a95d5,6fb42b1e,67b07576,83a5036,f76e8531,a30d0096,c3500ad9,93396054)
+,S(25302e98,5e75019a,21ed1605,dd3c543e,e8021a42,a40a967d,8ea6ed31,4dbbd123,849ccbe0,23097591,d46f9b4b,a13713f9,c0220639,11fdd0f3,267a4d8e,66797a83)
+,S(e59a30bf,88e393e3,c08d73da,ba720ae3,485fde0f,b6b85f8e,4117f5e4,f43bea40,6fd7824f,e222cb37,1a0fa6bd,33e4bf83,83ebbb64,87872fb4,42284498,6197dfd5)
+,S(c5902df6,97981a60,589e9bc3,b935de2e,de05331d,2c1365bd,a83f8183,f6247e4e,c67eb14f,5af551ef,1ab5ecb5,8feb7ce1,21d0736e,b93dac91,f865ac7d,2d75fe3c)
+,S(df8bdac7,fe27127e,c679a9b4,74e3c809,b8b6409c,2e6c4c1b,277ab4e6,d5e66ad,3ff26fe4,9f0b3896,54d802ed,72eb4708,2738256f,c0266dc7,645b1027,717d43e1)
+,S(1d55404e,9c7cb8ca,c39c7c02,b810d5f0,9eff9125,9166cf3,f1e8cf76,2c65a82c,c1787023,f6a1c8a3,5c499f64,a2fc4d23,e5a760ea,9a04707,c24bb9bd,b2a7632f)
+,S(35f390c9,b035fdfb,68506073,d585e450,2d040e96,67a1b4ef,804ee088,df43b44,6a85cd88,86aad8b7,7dc36fec,50eb9754,4c3cad2a,da43d038,3c55da38,bff512a2)
+,S(fbb0840d,ee888fa6,f26d7005,b2449cfd,1d22786e,d43d06d5,88f744c4,c5e059b0,6460514f,d89a70f2,3a4ffa21,9f651bae,203b05f4,bd3d45a6,508d2b25,cdb8d3bf)
+,S(24056cf0,1c2275dc,44608ac4,66931e91,61fa0ae1,3353cac9,ce481271,a34d78d7,43ebd3c6,7e7381d1,bf03088f,434a5275,965a3fa0,d86a51bf,7dda1b63,cbc7751f)
+,S(3b1043df,e8447c78,8e07c938,cd72f6b3,54f9f745,d7e71297,e7791972,70f9cd78,28e028c4,abf0d511,126c29d4,b2b185c7,b67ba361,e16c50c,34af129a,5e40d6fc)
+,S(aef909d1,41793638,80d75b23,6635805c,8088b08f,5c577a81,a5bedd20,69a040e6,cbb4c6f,de26b6c,5d0c2b43,df40a3fa,93350cc0,1c497382,d8a1bb7c,8600dc51)
+,S(c8d494f7,386331cb,6ff59aef,5f229bc7,913367b8,10f407ac,2c9f9d3,ca833f28,cb2c76f9,4b6285d4,d39afdac,bd3ef114,c7b85027,8d62da67,e70aa74b,b10de4d2)
+,S(25afcff7,af14ca32,3dc74443,71de7b5f,c1b52e17,6fe5f3f5,f4f39139,34f75b28,d867a4a4,7f9d7e97,6cb1f57f,8d505a66,5010cdfb,4af4b781,75271722,6942b789)
+,S(2436c86,f773930d,872c220d,c8bd72e5,d407682d,7708e2f8,19ad9632,3d32e2c7,6e396dea,92af663c,c44de690,24e1407f,20a95887,37f01662,bc89cdea,88ab67a5)
+,S(61ceebd5,9e5733c7,910bcb86,e19159ee,57638bb8,7f3cc56b,d0f4d25,147f349d,2a850545,e9b0ed08,fb63082e,741a30ea,7d85218f,86282aef,3e74b15c,f2fadb9e)
+,S(5a1133b5,d45d0071,42b91a73,79e2a46f,dcbfee6,e102d16d,d77e817e,b4b6c187,2ffd96ae,afd6d9c4,3c9c0517,133a4b7d,34c1c2e8,f398f81f,f6f0305,28d492e1)
+,S(b74a3849,8b701b41,29eb5abe,8dcb13b9,fff0f191,314dd293,9c38d0f,4563c8ac,9d844e57,e50a20fd,864d6f7c,5a677855,689be528,f8431186,ffa96679,9cb9014f)
+,S(c35c9cd0,4afb20b4,3fd1c337,5a952ad4,8e9a806c,a64aa4b7,52fcb204,5f89d26c,b041c6aa,4a83efcb,dee79d84,19e195b2,48c765c3,f069d5a4,b7e87792,79a9c65a)
+,S(9a85aa58,753868b3,f04b2af4,479141d7,11703dde,e5b6e5e8,fea8ad37,d0b82b96,465c70ab,aa16f03b,d24b8075,233ec626,4e062041,3bf485f2,551d9952,7bd75d27)
+,S(3ec71bcc,e051f3e5,12d83c14,cbd23f49,b3e825a3,cfa4c61b,d12eb057,5c86fe14,f198c21d,e2daa56a,55294c5a,b033f1aa,45caba3a,9a950007,db35f05e,e9915bdc)
+,S(ee1cbe22,939e1ede,9010e23,535bf33f,6b09e579,3737db45,aea48f00,b359ae63,bf604026,d4444df6,27f7d297,1dab6a91,acecb6d9,de53228d,47178017,921b90a5)
+,S(ebcbf3e1,71de3a62,ef47677d,1ff4d027,5a8cd92b,bc889ee7,8dcf0c99,6746073e,878d63c7,bc9c7224,914a3f3,2dadeb9,95c6d890,a3823f98,5c3f574,9ef6ebe8)
+,S(e4e92ee4,ce72ef15,b87c57d5,259520d9,b6066430,c090dae5,6e81b2fd,ab9db797,3faac465,4a03a753,559f47db,f5877452,6d21838c,9c1f8217,ebef6965,655f944c)
+,S(fc1ce758,8e292b03,7b4ef743,12eb1f67,cf275fc6,7c1e3d63,5bc42dd0,deac1cc1,176b79bf,44f7d9af,7f7c791e,8cafcb7a,495bc392,c23899b4,2fe7963d,e65186d7)
+,S(f1f5bfff,179e6a6c,692a86b2,1c95ef85,49482b3a,b97a491f,9e9c7056,ba94fc56,389257a8,a2cd3bc3,fb4f0620,5c2aae70,67041512,10c62093,13a2584f,8a39e143)
+,S(980e7414,61c3e001,ba6bfef8,d175a141,2c7aaa2e,748c3323,ac744fd6,ab793eb9,6e37ddae,29e05e83,b3cdde28,d4286005,34cbb33a,636c4259,c7fa7625,1b31826c)
+,S(f519cff7,686a5257,71986dc,7e6c1955,adb7faa6,a6f7a07f,66a257ed,a1b1c179,3e803eb0,8c765c98,7941d008,a93b8503,174ed4ed,1c31e97f,9eeb8f2,a55a807)
+,S(2dd8d9ea,3851fea9,1ba9bafd,bcc5cc0,9011d939,10edceee,144e2755,ba8f8061,6147f1af,d4224689,37cd058b,4ef52618,7adfdea9,ce970dc1,365fe04d,1da52ae3)
+,S(860c4262,9483537,47ac0c41,5aa00f63,2854f88c,d7d09b35,edefd780,1454a4ae,a2a7a22a,7d826d25,8e7dfc56,1eef0d85,d15378a2,80535cef,95ce6e2e,d73392f4)
+,S(e76b20ec,17d82c3d,987d4ea,20535209,e0697f90,2c964b28,ae97ad0b,aed732a6,c97844b6,85f6613b,fdb7cec9,cc47f701,32bc1137,d997f8f4,ad182492,67f54bf0)
+,S(26731d0d,12fba582,636862b1,62a417b7,718ec9cd,e3d047a6,50455efd,910ab88,3c10efb3,b464a61,6e2023b,b0736d6e,8d298609,47ba5714,3b1a71fc,9b542192)
+,S(50cb4878,52db811a,87fe46f5,ed014db0,3fc4570e,8b2d8ea8,9865df9d,a224dcde,bb8488a8,7937ae89,88f572a0,c100e450,c69db48d,303d06f9,5d54bd83,8b39621d)
+,S(fb69453b,1d67ffdb,670f9fb9,2b3fae5f,64b0c4d,cb28ba0e,7ebeeb21,ffb02a60,b0fdef36,92d881b6,3ebb1387,984120f8,d1ba17af,477364ca,41e303ee,a4fd2c39)
+,S(a8f1280b,4b720226,19faec4f,ea3f784d,3f4061a,56dbbb99,38c7706d,8bb249b4,ebb3b571,ac505913,4572e501,4be7be33,a97e12b9,bc1fd9d4,484703f4,6e39b8cc)
+,S(4292ce09,df305790,f17cb3be,30996016,420f83c1,bc19abb8,78b49027,6eacaa98,1b14d94c,bf2b1d1d,82cf1873,3461b76c,f32c8d5b,6746e2f9,aa2aa248,1c745d36)
+,S(ac241177,f16f747f,b796750,49c83f8f,8e1a062c,9796b05b,8c5a5587,a4c9464f,dd057503,8261d044,ec84eb03,73065687,266b695c,ef5cb41d,1cba3b5d,9176cf58)
+,S(692eca73,26bf2da5,7fd9d640,acf7f846,78e75c9b,86b18e7d,d7fd2545,751823d3,17d6d462,548ea78a,18557320,289d61da,14c3850,4ff03347,8f17fdd3,71c8e97f)
+,S(d01b1a44,55ef5011,e4ecf946,ec02e6f5,d0e129d4,d2f59889,e823cc5b,6f10e216,84a4d89e,55e33edd,d54f38f2,1649f5fd,807879e3,388df988,34556ae6,57f91a0f)
+,S(1eba61f2,96a788d8,9273a67,18f2a0cf,fb0798c2,393330f1,2f890bc7,9bfc1e9b,89f298cb,e8471046,2df0a6a6,b6c4b6af,505da2c0,9ee13266,bc47cd5d,2ddc9661)
+,S(26dff8da,94603121,4649fe1f,721edcc1,a2300ca,b1a6d548,9c9b68d7,415980ea,d8264a21,55e1bbdf,c3b65862,efb9548f,3c4a0a5f,97f5b713,9d3da15c,90004e60)
+,S(4e642b51,425e1822,1275f64f,283e9eb1,a3116adc,a6e25047,cee3bc0f,323fe676,f28b7d65,9125468c,4951db0a,bc35d4dd,65b9c5a0,ed27d742,47a68a23,89eafbb2)
+,S(354aff5c,ee9a27db,37e7c97b,4cea476b,b4f3700c,e9c26b21,e94d2e1a,78f448a2,8d6907d1,624b79e5,6392d008,2f6a794e,99b4c4d1,6ca78dd5,97709c86,2930fcdb)
+,S(5286d074,949369fe,8f69f020,c0b65f75,e76995ee,5f49b9dc,d570b956,8ffbdc3d,255ef2e5,3dd2c40c,1e462a45,27e6ee00,e0a23d3e,b16b05e2,2781de6,879703ab)
+,S(b84a8346,c86e2299,9acc8ff9,1a893592,6bddeeb8,6fde121c,266d5f60,3268add7,31179a8c,79f40238,e1b80c87,81e46597,29f5c8d3,d8bea0a3,f65b403b,ef20789f)
+,S(1e7bd5e6,63fc9a50,2258b9f1,14fc51c3,1b9dfc27,9022c67e,fde7872,dd12bb94,6287a9b4,555b146,7d250f11,e77ee8b5,7accefe,6d91cb6b,927611f2,c2c1b84)
+,S(7ee68a21,37289ebe,7a5cfde6,be672ca6,9d28acc4,54d6b8da,9c96b2ad,37d2bc81,3ec34064,a6c3ca,f2a8aeee,9b24e023,3d7dcbe,b7acddcc,8a53db84,c570c83e)
+,S(29d4b10c,f4be3bfa,a9d07fdd,da6ba7ae,f3adef75,67c3c33f,8d4d914c,f8ce570e,b6a74385,96a4f40a,40d03c25,2c7070da,2ec79e08,dbef71f2,422392ce,1058bf4c)
+,S(7907c5d9,5c5cd647,e312a43b,42c3f053,50218f10,da6279c9,895516d7,328c359e,6c65a9e1,ec062a1b,f2abca52,fdeeac18,26888378,58f985d4,c8f1c987,64d6a625)
+,S(cc436eae,ce11bbc3,36014fe7,bc68fcfa,e5bc2c55,c53430ad,fc994b8d,959d31b1,16160de7,d6ffbf64,d644e608,96052985,6b2bd539,66d7edb3,a50c924b,fa9706a2)
+,S(cf023d5d,278d4201,ae659d55,6239dfa2,1b5fb30b,14adbea,7351b620,150ec1f0,d6007395,ffcec07a,6e71c26e,7575cdb4,34c473b7,57d4574,9e5154e4,d4990741)
+,S(1a2a093,f718c59b,d4d35b73,2c547b61,12b6a257,e807a38d,71b04125,e7746a21,2674b542,652fa39a,1a2cadcc,3924796e,16c0f8b0,5d83f919,f8b93547,98fd4c95)
+,S(534ed420,4b8ac51,7518fdff,224ffae,f712e4c7,6a84215,fac925b7,eeb799d7,35e5852,3ea6199f,b9fe497f,576dfae8,fa30782f,d24cd439,c0708118,dbd82155)
+,S(8d31e4ad,9e6f30ae,6c78ff18,8f4b0457,e9ba646b,3a26138c,f11d84c1,4a00d08e,f0dbefc1,909396c1,3a1e36a4,844b2a87,e4b0b1cd,4b30e996,47839bcd,4dd5feb2)
+,S(81748452,267405a,bf664379,16ff7f73,c418439f,86b73159,54c15fd2,2d2b3412,13d1209b,435b50b,1409389,9961f5ae,9f6f95fd,280beba7,cb3f3f5d,a0f19bbc)
+,S(bca87f72,e604e885,64552b,edf380ca,45842270,57efe12a,6cc23847,658aaa3,ee508af5,28b77125,72c123c6,276ba23f,af26538d,5752d84b,54ee82ba,df9e3d0e)
+,S(de2baa9,a19652f6,c0c0365c,d6e78cb9,d527e546,1240fc52,e8c59183,7fcd3fb2,aeb418ef,466c32fd,4cb5f2be,571672dd,86573941,a9cf9bd,73377aca,1ed38905)
+,S(7b8ce1e9,14df7919,b54a0591,c077135e,556f6cab,c7665e5a,c0004390,22acca9e,a60a3ff3,9cd8ad49,c100b72,4338a54,d06a96a9,f3fdc7c2,fb8ae598,c0b40628)
+,S(cd71c179,13fe7443,19bc80f8,205d7617,4d6d44fd,a6ac3d1b,402279b,eca50e75,9f1e73bf,cf3438d0,1f01d1a9,3f633929,ae385812,528ad211,967bf38c,71419064)
+,S(42cad02e,32dc8dc3,4ba36161,d0816af1,619b70e,117da444,f4f1e454,73ca8fe4,97cb2134,5a259cff,8870823d,fe11031a,79e59d7e,dd2593c6,65128a8c,36e75568)
+,S(98a89130,4f0652c6,2986644a,62a1dfab,48331756,c8b9e1f6,d473c03c,b98ff8c7,c130f2ce,cc506903,9ca49b3e,534ad484,b277e0ad,7b2a8733,98864000,e9a824e8)
+,S(23c45c76,84762aa,7bfd39ff,284403b0,d7a4a128,6bd7b455,22c09d2e,df8a4328,f4ab7317,95c46f47,c3d46dc7,cb0d43de,d57cb274,ff0c350a,f0d79548,bb303cde)
+,S(8b700037,d584c4f2,f65416f2,dbd37c35,9e6a7b83,108dad34,3a6c4d0c,6a21d856,8371ec03,9ed0066d,4e8e7d86,69169f9a,5a172cf6,c324c2b,ecdfc76a,c365ca35)
+,S(da6164a8,d0fb4111,ca1d78f2,83e8180,4f4ae8,50ae8596,cdb97d9a,a30f8a7b,f9a8463,717e4f17,a77caf4e,10c11101,1cc0b5a1,c788307f,c7aba482,2a9a342d)
+,S(49f37d65,a9d1a54d,1929b9c2,6db7d7e,c45924e2,9e6010fa,2202d47d,eb5fd6b7,f9b9b785,28f62629,7bd0dbba,9340c142,1e64895,b1befa94,ca677de7,686aa51e)
+,S(8755f088,e26859a0,1a56b78,ba1898ab,12d80837,308677cc,b38e9c53,e36efa10,5d67013d,1eec7a88,215b4768,f55f83f6,434906a9,f2f6a9a9,de5df75f,6ef7e478)
+,S(35321796,b7aba6dd,873550fc,5a35e081,a4e6d134,a127c534,69ff777,c609045c,47ff0f43,efa93f4e,f197a680,4f1e1133,c5c8301c,b49de8ba,6fe10167,f0a1e832)
+,S(3abedd2b,644bd2bb,e77ab5ea,2823b42,83479fec,df2b3421,56fe9ace,612559b3,4269b08e,6c13b818,131824ba,11e3369a,87bbccfa,330e408f,17985b21,e5e32b06)
+,S(e30112a2,2c23462a,a803dc53,e3277d7,c14b62cc,92787f77,5be98ffc,7c956de8,d0c7e3d0,dbb10e8b,7a9f4e0f,f93e7581,99d90f6d,d869368a,8d2ad369,4898da40)
+,S(6250858,439c4b4f,30d47f6c,b9259103,bcdf497b,f09d3762,f1073f5b,973cd06b,3437f5e4,84ce4258,5584407a,fb0e4383,87e4c930,2fcc902e,cd26b721,5075328e)
+,S(77ad4485,b8c94cfa,4e904bc3,90e93e3f,66838d50,fb16e09b,dcb39ad6,88f826ea,4dbc505a,9798879e,137c8444,750ec3c3,34c2ecb5,485bab73,6b0b9bbf,806001d4)
+,S(5dcd3e92,e413601d,b9dce337,7a8e67e4,3852b8cf,ac41066c,ad579199,3ac0b7db,acccd081,35efb43a,306760ed,ec278f7f,36996ed0,d6367f85,417754cb,a4e997c9)
+,S(3a26663b,adce051f,c41d2e6b,9b931851,e65ca385,15f59737,fc8c27f5,caff788d,2d647eab,af01d846,70110e,7272cb4,9b9db0b8,88a8113,bab5f89b,90abc2bb)
+,S(f57cceb9,51dc98fc,712fe9c2,c024031f,4e3b0f02,5067ac4,b8bb0096,e4b1aec0,696093eb,7a8aebed,a751455,782f99fb,ddb2c66d,438a7bca,9c4df301,b7a1ea25)
+,S(a89a4778,bca06e14,bdbd46c,948ccd36,df47c83a,2dbba9b0,93589406,be9b4a0c,f4224dd6,9d08262d,22b98e2e,4e781e6e,939d69ed,d59f30d1,d23f9ea1,6ef366cf)
+,S(64738381,84fe8247,2b463f4c,7ff04a6f,6a3be92f,ba295d72,adf065b8,10b962a9,bcd100c0,d09f6e93,4fe9d58d,d58004d0,9ba164fa,324010bb,c973709a,2ce32de)
+,S(4a683a38,21261e28,2e0196ba,d9f8727a,f7bcaa4c,afd5e686,6c7cffaa,3adc7774,b5aba4d0,ec3d9aa4,39b37f0b,15f40fed,913af371,b1b94f20,2cc93378,954ff3b0)
+,S(1025e16e,fdaeccd4,436cfd9e,b8ee1614,53fee046,e420296f,53cc2e5a,bb5cb3c7,f806b96b,67ce92a3,e159b807,58f38f73,704e4d8,3bd611c2,25314400,f0c48f3b)
+,S(6149d809,675a5353,6fe2217b,7f6777c7,60039cb3,5a0840e4,552e2ac6,db6650d2,e4ae636c,9a9808aa,4f49b03f,bd12f786,c72f07f2,9e397a11,68154505,b1a96ca9)
+,S(ba24112,43888342,54ee8327,4bb03dd3,2fff3edb,4d607047,d8c141d4,c3fec47f,8a6bf123,29c3fcdd,38e6a18d,ed28c8a1,3717e997,9d0c366d,aa640dd,bad5c35e)
+,S(c20df096,3c7cac7e,9dbaa259,538af550,35c00550,94ad4993,2190688e,7856a961,491e995d,16cf7ae9,85b8dd8d,6a5890b8,fb4f2c42,aea7c33b,ad84835f,b245d40a)
+,S(6f53d8ca,4dbb4d72,d9ef3dcb,93dd2ec1,aac9f38b,1b4cb2a5,c76449d,4faf0c50,6784a02d,f449beb7,24156de2,486753c0,77bbecc3,27caee12,f7888687,4e7ae24a)
+,S(e57e78bd,71a08f60,51c8a046,184757eb,6364ae0f,8eca86b3,51317712,737bdda3,a0623c7e,8a535f66,57116c82,da77554e,31a1d263,28ec0e8f,116976d0,f4385342)
+,S(f52f6f29,aad496ab,9e0abd0e,a7cb53a7,7853e8e1,a6e5ffff,285e97c4,f7ab099a,3df7c1fc,6d5c5e81,8b5de4b7,66f2995d,c361511c,198a68e0,b7196204,559d55a3)
+,S(da74f5fb,5c0a6d09,6fb26268,b33d9c86,ec5cf08d,8bd65fe2,59f836a7,3efb0dc3,7e50e989,de5e2847,7e31c816,42a51edd,8d0ea031,35423f3e,ffea07a9,48a62c47)
+,S(2a2c9aa8,7bd45217,f341d35,9a9d2de8,35d14414,cfd3eed8,a2337a64,e051f4ff,bf9efdeb,99335f68,a01fd7e5,d8aec9f9,49688221,59d18bf8,a466c6ef,9648a1ce)
+,S(2a3440b1,91dc5314,c6d0da7d,b07e2cf3,7d13bcef,1ebfd23b,492ad632,92022266,bdec24f5,c993a020,2f2fda24,e8707947,e4c1e9f2,2c34efc6,dd1e62d3,e2ae2b40)
+,S(a3a9bd74,3d1d36ad,fad36e8b,d5544500,e0accea,d53d081c,28740109,e10942a2,cc33decf,f8cae7d8,dedab1fc,ea1b4c16,2cb71104,ff75c16b,66db334f,ec794ca0)
+,S(5b83d48f,70a2f212,93dc724,77f4d87f,80db7eac,2b08d70d,308953d1,88804950,f78c0488,a10c66c2,e11368d7,690fcc4d,982ecdb4,7ed539c3,30d4b14,4248b545)
+,S(dd5b46a5,6e3e4a22,39e210,a871db8e,d901ab96,3c6fec29,4140d77b,be9736a,d9b76eba,ebdd45ac,35c52268,ccd35df8,9e7136ef,879848ce,ae647c13,d421d46b)
+,S(2f74db5a,25486127,6236bc5b,22214097,d1ff781f,3798f64,62cc6dcb,3f61a6d3,b6d635ed,256f6d2f,a91b868e,a3014db3,64647147,ac89248e,ca983c09,53149c1c)
+,S(32adc0c4,1f7c939a,58640b8b,fde1c8ba,119bff26,dfe4b0be,c5058ddf,23ab2e09,cf317248,7f0bb297,d7d7772d,2a01d917,40beed83,3a35a293,66bbb0dd,3946ae3f)
+,S(4fe53ca7,172da8,272a152e,d74c07ed,4e336cb5,85cb2ae9,36f9f301,87c6cdce,81f6d1c4,bd711c16,21cc2986,916578c6,baf42870,58b84843,27e46e98,81e3a8ce)
+,S(601934f5,577fa2a6,702f316e,b4dfed9a,3b08dc06,5d3e58ae,63f8548d,9fb2569f,6df7d882,4360fd7f,b5f96f68,93b1f1de,55e19690,f6acf954,362074d0,30f714cc)
+,S(79da708,8ff4806c,64492ee5,2e9dda2f,e1bec3c6,79fa3129,8173c0f7,aa79d321,2b1eca29,76f2884a,35167e8a,bd2055af,44be734b,b0e0847f,f90abe8b,17f9a47)
+,S(602b8209,c39f299c,bc208b51,ca8bf691,5b8d4fc8,d8399186,7e589dce,79262974,f8b6cda,5d7ca83,6aac43f9,4791a5d8,a5ed1f05,af90f5f2,267cd9da,567f5555)
+,S(57a4f368,868a8a6d,572991e4,84e66481,ff14c05,c0fa0232,75251151,fe0e53d1,d6cc87c,5bc29b83,368e1786,9e964f2f,53d52ea3,aa3e5a9e,fa1fa578,123a0c6d)
+,S(4f9b48f0,ae9df110,70c4c5ae,2b012cd6,4599063e,5bd32b54,43548b78,6a06db2a,d5a7a0fe,3cafc78f,66f563eb,f6fe42ae,980cd621,bf18aa15,7bdeded7,dd5ea016)
+,S(e46a5308,4b11349f,44661589,38bb663d,e1910aad,35de0708,5a053b5f,6c5e7375,da46da88,9583632d,fbf923be,9f07ace2,cb8c3d2b,fa6bfc47,9e1a7d32,e1183ce9)
+,S(3643d766,b94b161e,323e64de,3c925040,d62f2ad6,2b60a674,15c8b962,1c071ea,faf69af1,1f2b9e05,db29dcff,a020f6d4,80835d4f,83d35a96,7aff1b5b,9f16fa98)
+,S(96769694,c026152,1bbe1b48,544e05dc,e6bea57b,7fa31478,f6ff1b1b,bf497dca,4eb5a6fd,7d0dae14,9673b033,bd97c08f,8210fd12,c759293c,40782702,b3e30b03)
+,S(2e41def,2c479931,89be0ff4,b4110e28,7f80fda6,f4134ef6,5c867e66,59a24d07,26a14d7b,b8388b12,a3ba1f50,e56ffb3a,69bde3c1,17441f52,158531d,c874c313)
+,S(f39d941a,f6eafe0e,9a44fbf7,71eb63e4,db94cbf0,854a837d,b7f284c5,ac03c29b,1ffed770,dac4d12,2241f8b5,507e04b0,72cd5934,c03b0183,d8b62e73,8cbd7b73)
+,S(90900d34,4576beea,911f8dc,c2d90625,1cdac045,28017d1c,59576449,50136419,60d38bbb,2a338102,da044498,a2b2c5c,1457cee6,eb34d666,b0c0956a,48161ad6)
+,S(3a5e4627,1007f4a6,2e744226,f1d2b782,44a523e3,97b6509e,e3e1a513,d8ac2e06,50f01fc1,74cfc3f,256dee2,fa415f35,bcdfcfe,57b79d90,f75226ba,e8202449)
+,S(f66ea256,f6d711e4,1ea5492e,f6f6e46a,b13ac258,a8f0eb87,a06b6c3f,13e24355,fb8a1c47,980ea6c,87ec2401,4c0f6d2a,8f32a2a0,6f3fd0b5,7fa00307,26243841)
+,S(cada0520,19a16ccc,fbb6d4ed,6c7436d0,c946a485,ab3362a8,5c62580b,d3038fa0,e249940a,34804324,ac706963,91ae7393,421de971,af0f203,2b5f2d21,7d32ae6)
+,S(d16f5b5e,820b7295,96bd5192,9dd830b2,ce208413,5c2db712,2c4e75fa,cb759cf1,70edb084,cfbebcd7,ddd36380,75e05147,6ecdd585,e228749c,e61e3784,6a448ed8)
+,S(bbccce8d,dc6bae0d,cb6e5149,8c666f31,3dc31ac9,d4d949a4,84751134,d5f71535,4da772fc,63ff92be,5271b479,68e7bbf5,c8941f68,989fa6e,a23ce5ad,23f91eed)
+,S(515f28f5,cd8b75c4,325e940d,6821eba,e7d5d2f8,e836b291,5f606152,ed4243fe,a13143cc,f5d2b8fe,14a09f46,68229258,e1855a82,6f7db2a2,4ba2f1c4,63668b47)
+,S(bd2f46ae,a78c462d,8691ed6f,9d381278,68d356b5,b8fd7f79,df6ed845,21233837,8f645ed3,f3cc803f,7eb32f70,ed7d6fe2,84ddd9ae,62ab8324,b92bd7c8,79c4af11)
+,S(8576f13c,c3d32122,69e10b51,2011a450,4f8d7d3,92e0f133,47d7d65d,f9e37dfa,fbbf2048,3fa0e131,2309eb8c,19eede8b,86ff9028,45b66195,8d19d903,f68b1a4f)
+,S(70be1e91,8fdf4e47,d73f262a,bf2361fd,763a83f2,d31cf41a,23b8c9f3,8309db4a,82f80575,e4246ef4,c13fa48,8892943b,a1897ac9,dc3ef188,29f3f708,428bc573)
+,S(bb8a093d,1d586b53,9bf54a46,1a353af9,173529a,12312361,c8064e91,4b41180f,460e0ed7,8456a251,cd68d66b,ccf5de7e,28707540,d221d65e,72334d85,af478269)
+,S(7817ae4f,34d9194c,f4b30628,7071fa1e,7b976a84,754c1860,6dc4a124,bc5c2e69,25f4ec56,c4e3b1b5,bc6ed346,e4f8b340,6afe1c0c,f84ad7b,481be5dd,2cd55cbc)
+,S(85c760dc,411f59fa,6feed8e2,a0e5bb5f,e72af5f1,2734c9a5,bccfed11,bf66abcc,92583db0,b57c9c71,bf0f1248,23a67e5b,89a8910e,6500e8ad,10666b26,cbcb8cc4)
+,S(20d80d35,4d9d762f,f2c739e3,b1e7377b,d9ee7123,47ea979a,d4c81abc,5d5086c3,6e191d7b,8017a675,e8123b7f,1f1351b5,ef6ed6b,1b225cf7,48941df7,62f0efe5)
+,S(3306922d,43f2c4b0,65f6d9c8,d1289804,ec26cefc,97090fde,86dc3e0,fdba5657,98a8cc9f,c93dd7ac,7079f76e,fa1c4065,86f0e941,9f87cd88,1b865c30,13c7efc4)
+,S(b35c7597,54d37f12,440f7703,39223681,8a1b9aac,b085fc1,8acde6c7,3b2fb001,484b90,69b08485,95c58ffb,df5968e,2ea789b4,6f93d660,a7af6b75,13cd649d)
+,S(9bd41b53,7f8bc303,6cc9d010,45922b1a,5c647f8,e90fd587,86ef0975,474e1f33,590afbf6,55ece125,da486bfe,1ff389a5,8b866776,8d2013ae,c25d03bc,bf0274ac)
+,S(2a3a672c,a9b3aef0,bce89703,a38e0dcb,6950d93a,7359420e,5278f160,541ded42,4c3a94b6,13f3383d,b908ebef,6b62bab2,c95f850c,f88aea5f,c6af3b89,c2693d8e)
+,S(31ba6af2,a2d94f8,d4df3800,353806dc,c8db945f,16dc5bf6,93794382,58f74d3d,ad19dd02,b290eb1c,ba5d915e,f60344c5,fc1e6a82,c5427f4a,236238cc,2329df5a)
+,S(fa2199bd,74b014f0,5df0f9b8,ebf44a98,587c0251,e9c49bb0,5bb12952,bc869720,4328917d,6efdf5f4,b0f5c483,860e1e9b,41ab6ee,b1f5631a,66d2d213,b163f45e)
+,S(417b9046,c7f53c0f,5ccf2847,692ab63d,8aaac02,e3bfd99f,30a469a9,8be22d52,78c15e65,5f309788,dff6eae6,91706e00,7aede9a8,3bdb08e0,d495d6a4,863b82c0)
+,S(56ac91f2,47d51fd8,8a0e6eca,67a69ffa,6158f498,1714964,f33e43d5,6f18bc2a,351b7d5c,9e1b1a4b,717c518b,37b81c64,429beeae,26e7a740,c54b1a66,dd0680c7)
+,S(aeba32f8,83307ef3,152d835a,a0babec9,e164ae70,10c90250,68507d65,37215f8a,8d747d39,35cf5f2e,6ff16557,7ccef843,7ce7e3c6,a41cc40f,dcde2ae8,582c4e21)
+,S(42c7b219,9af00c97,693d6bcc,256ed047,79ee10eb,e4dbe63,d47d681d,21db5813,a15fb708,1fb1c7cb,2ce44a4d,f8958432,a5fd875d,1fcf7c75,c3c4865b,b219378f)
+,S(4337b297,ecf365a8,88bfe19d,1bcd5fe,25e0dba2,9c39e2c,36ca116d,a24e5d98,49c723ab,c6541edb,cbc83348,5e06db73,28d1ef8b,c9cd9722,915415bb,2242b7ad)
+,S(18998c76,1481932c,e968af0c,eb84b250,aeefbf25,27e4ef84,a2519a1d,b7f857bf,455ebc85,64518443,5cac9ae7,7f3289d0,91133054,d0bf9ba3,9b7c8128,26c97fa2)
+,S(64c76320,fa24572a,590516f,1bfd8b4f,87767b64,1e65588e,69cb895b,6a49b2b,a39a2a5,c4795095,a03ae76f,86825ec1,78366c8a,8799d395,d39fe8cf,74b9603f)
+,S(41657405,e35eb87c,a5ba5f2d,3c6f12a6,dea917a3,3b3b44e1,ebbd3bf4,812b0ad7,8e2169ae,36f1452b,4577fe78,7adccb53,4d0ed75c,2096b491,6b68dd6f,95ff815d)
+,S(aa200fa3,768a4b89,16e110c8,f4a6315,7bfd4a11,2c10cb6,8b76e30d,c0391f6e,567bd959,28b21555,dfec898b,d7d198a8,c49b79d4,6905afde,7fb3534e,a584695b)
+,S(7aa78328,841d2f54,b843ba48,c8c9c623,eb529bd6,9e584966,555f9bba,77131599,6b4a2715,e4b8478b,24da7e7a,64e2f6f1,32711246,29a583ba,1bb44af3,69f698ed)
+,S(94b1a7bd,6a2767ff,459234f,c78fbbbe,48446b4f,64bbdfdf,dae34475,396969a1,8f3065ef,2273a871,dd29320a,8b9aa41e,e77e2178,e8b8854f,df1e88cf,991cc33d)
+,S(6b957ba7,1bfeebf5,294c8cb2,7681e0c0,5407df71,37a34710,35fd98ce,d526573a,67e4808d,3fc1853c,5e5cd4ff,6efb5092,35c6df0e,c0a5f7f4,583fdb88,7a2724a0)
+,S(8b274330,ea34100,3be93892,ab1fcb2b,f9a6dfb6,80bd9cb2,b8aa6916,43717f7f,54fa2abb,77855883,e627f828,49c71389,4ed141aa,9c9cda3,c99afaf1,7998db90)
+,S(d3f64f9b,67362339,491274de,77ac665f,3b686372,499a12e7,5d145e26,7b58db05,c06116c8,52bd15f4,145284f4,3899faa8,9bea5850,4018310e,5c82a050,c9a52449)
+,S(198926f8,ce0e4329,1bb9280,390f795e,870d071e,801b4d4b,c4aeb555,f237ba79,76125bd9,5b8d07e7,5e27658f,a0dcf10f,5d6c10d0,4548dd76,a833f206,d2b3d34e)
+,S(1bbd4d,595152f8,39746cfb,6ddc2584,ee4358fc,6f878309,9adca58b,cf01a13f,18f534de,cceac5ea,7083cdfe,3de5ebdf,ebdc70fc,4f0856e0,b587e9fc,df8d7733)
+,S(88737f45,b2639272,37cb551f,52022693,52457f,21db398c,1312e275,f5a3132a,79a5672c,2895e1e8,4b1a7b22,21ba0c5e,e3e61cfe,c95aa029,b2a179d,e0c496ed)
+,S(cbf3e18b,1f277773,34cca35e,8fe1cfa9,2d68497e,46e7a252,4e14bf,cccb1e83,db00c395,65bd456c,3c9d242a,5f24748c,7b91f770,926ba9a4,1ff5c94,86bc3f99)
+,S(8070ef0c,f186efae,5f9c8846,72a93a98,8ab65b20,2720893c,40b1a641,c7022f70,da9805b0,46946a05,46824cf5,a87fd838,cc85c853,a745d8ca,a249d881,127bd9e5)
+,S(acaf984b,8fa45dbb,e84c5064,8b6fe23,5c57dcb6,21243e21,90286980,c3f71eab,46f4ec16,8259fa2e,f144dfb0,bbae2907,801b8c1d,f17dd0b5,d1db3bd1,2ceb278e)
+,S(2893a05,91f9ecea,735e8a32,a57e3d25,e8916252,52a44099,4eeda971,fbfdc965,6ea29941,91e4b123,12b5186,efb7d255,372aa6c2,aaf12a1,8c3b15a0,7bcfbb6a)
+,S(64974631,68f0cb60,9c926e28,5ed12df0,cfccab0a,58f11b39,dc05b644,c2be951d,ea74181b,2fa885e2,4344bb21,9f2509c7,d432b5a9,c178b406,160489a,31eafb7c)
+,S(b938443e,513394c8,b2d4f7c2,9811039,918621c,5d3a86e2,d1bf0e88,ba1faeef,af47f2a8,c7d98642,50784f38,45ff9414,c52473c8,9b669be0,96387daf,c353fc85)
+,S(bd1ee245,ad10f50e,9f8fd4a7,876346b9,24f4758c,cf69bb8d,42f6dac5,9d2a5320,776e2e3e,69d88d5,c26477ac,74ffe92c,134ce443,64b39518,af787348,e0039605)
+,S(cb7ec68,805e855f,17e7dc05,4279d8fb,6d8e1320,67a486a9,7d49df43,c660650f,f50790b2,84c04103,11f302eb,71525fd,b12d7339,6d259b5a,91ce4fd8,229e903c)
+,S(ef07cf7e,affbb5a,29e22a1c,7c84cda7,1968c615,fbde2a15,e1c1211b,ab30cf83,98f4a6c9,422630d4,103fc2fe,e4c80f2c,2ca5565e,25859979,815c425c,70ef574f)
+,S(4ffc1948,4d7fcc59,ccce4ca0,d11400f1,13dc5064,8626781,4eec26ad,3e7b8fc6,be9ebe07,98ff3d83,cb5ac107,5dc87f12,d94b65e3,937ee669,61b4e587,7fb75aa9)
+,S(cbdd5373,339ed493,b8cdf0ef,ac6371b0,fad1ad6b,2da4db63,b4ed68bc,61d18396,527de487,c3212d47,1f538b6f,f709c130,3784a7d7,c803e5fa,c77bfa1a,d6bdb13f)
+,S(ea035b2b,d8a1d7e9,db7f6b06,5e003f99,4e650aa0,e3035fed,65e7bf5b,c67cb5d2,aecb4370,2219f488,86772e91,afe81c6b,2cd57e96,2a3b0edd,dbc64608,8c3761c4)
+,S(de1a4fd6,c1d6240a,d6e9dda6,b2d43fda,911648f6,901ed0cd,99ba8ef5,99f8db89,effc94d1,61c0ff41,d1ca6085,371e2e62,f85f90b1,542d2cd,3a4223ea,884da03e)
+,S(2e644141,e8d87ed6,e1215787,8bcffebc,d75e118a,f00fb7f0,e58cf5b7,e6a076ed,4aa858dd,f2ba62d8,6b8a7011,26d22c2,b45c240d,f65f85b7,320e80ff,cb34b8d2)
+,S(3844386a,90d6b878,90fb78ad,8f2d28e,47ff8879,2d275c3e,956883b3,71b73a33,f7f5df12,1a8149c0,75f6bde1,2ca8ee89,ff284557,f17cd57c,714fd474,b365cd18)
+,S(e1fe9b32,1b91d362,2b618cd8,9ae8203d,bde185e0,bab2fae8,ff7e96f0,74358e42,c590fe90,1797132e,a25eff10,f2bf2a76,cef4f064,acaba1d5,f8537b4a,ddf3e1c4)
+,S(560a00da,2f57d821,b6a0144d,45898af0,aefbbded,a1e08a49,9cc727c4,b27a3c0b,64874e4e,39db1377,3bcb79ff,983b152e,5db86d63,4dbbeeaa,a8b0112a,e795e208)
+,S(9f33fba7,7ec8de2a,c1b16424,856e2814,1afe9b1d,bd0cd1dc,e5cbb2f2,f379094d,97cb8cd8,1838e2a7,26034f19,b5decd61,d972abd9,bffe3848,92fb0a9c,26fe94b0)
+,S(98822fa8,24057512,48f9da04,2a0cfb15,e46ee253,e06a1226,da75047e,72d7a1b9,3e9eea35,7bc54ac,da547561,1f9590f3,db975d4c,ce7c4cc2,a553df14,feb19285)
+,S(b814d1ac,4b757268,6ad88327,32f0f84b,bc72875e,7e21707c,c4086a06,ac1dbd88,b6364488,3749a122,401b8ab3,c4a7b8a8,c03462ff,18d69c36,cf145299,f18a98)
+,S(246484c4,1e42113c,cd39f7b7,eed9dfcf,b39cf842,85c28cd8,6233c1a2,bd043e97,f35025b0,2e31bdd8,41d36f7,9d0b75e6,80f431eb,44a50502,3877f5d0,eb9552d3)
+,S(9f330365,7b41b2ec,d87fff0e,4284e4c3,bbe8c524,91d358e,847afb98,ff51db91,4b9a7bcb,221c8870,de176a43,d4f7cce5,adf519c1,75613dad,317f4337,72d5e70d)
+,S(c2e78e9b,3c75433c,5f5623a,8f5a4dc2,b0e71951,4b16161c,225b9bca,9d529d25,1e75c8f1,938376ca,c6387b20,9b24a2e3,e794362a,d62441b9,50588a3c,ab9079bb)
+,S(89340ec4,b6e81b7c,855c9636,b548aeae,2125c40d,2907f86,7ce5e6ba,a7695391,f739a94e,263e796d,df1cc2c1,3e2bc10,2b2a9c9d,55248671,575c3ea3,792c72c6)
+,S(9204ff15,f1443cc2,78facd4,8d38a6c3,5d66a93d,8fd8e2da,a7e2bbe2,d6629d22,2b9de875,456b50e9,6205020e,c293ff3c,13120555,82727253,be10263a,7559c019)
+,S(f156da10,41122fd7,ce6b518d,c325f5de,61fad9e4,a7bd684d,7abc495e,ebff04d6,c73294ab,f4f2adfe,dcbaa78d,2031a5d9,7f2c404d,739f5703,76e46a0e,1b631d4)
+,S(771a2d78,37d6413a,13099861,6050c362,2c379a55,26506265,9fa7da02,3280fa75,8b6bc39f,5cfe1f5b,82bef0b0,f6c8dd1b,e4270304,d5bc70f6,6b600b26,5d4c9aca)
+,S(14cd58e0,36bb2c59,f63b52b1,f40e51cd,aec29f0e,b1cc0401,8e512366,85a18f69,79c254fd,ed354641,744c7262,39ea4e8f,ea15b19e,746b372e,f270c8d9,9c5e2006)
+,S(e5f54077,1060072,5800bff1,390a67de,cd539cc9,52b6b43c,22bff27b,1a8633f1,d6e1c6c3,9baa86c7,5838e691,f9af8a06,80274da9,b0f54b5f,4c3b2028,8d666367)
+,S(b0eaaf42,9c072037,fbfd14ba,79693d93,6791344b,3d37c3d7,5b8eaf8a,e7429197,d72661e,4a171b65,4f124d9b,d0201710,bc237382,6a2f0341,51051716,9b7af26d)
+,S(e022d70b,44edaed,35957383,284e4ea0,5380f92e,cf62ce88,3c2e11e6,604d67c2,423c55d4,3ba0ed0d,1455228a,3153e9c2,7aed89b,2c3ddc71,52d2b11c,91ab4143)
+,S(92a2d73e,b2eaaaf2,65a70f07,b949511b,af1a3eda,9e5d8651,349a665a,4bc5ab5f,4492d419,4794d254,9a089fff,53a32631,5f1703c,5ac34049,92d68121,e00fa973)
+,S(43409686,de50a9c,cf35ac44,47a9ceeb,b12f102e,3ee6003e,c96235a9,8db9cb30,2f781040,952e1017,8e4e38ad,bd9c6c8b,c8e1e898,7f316cb0,37d2cddc,4e10bba9)
+,S(d349dd1b,643f8d4,1b83aa5a,d735dc4e,94542643,3888a4e1,aaaa0ade,2394cd12,67f2f057,1da2b6ac,295c71c9,ea00efe9,cf082257,ece35bc6,72adece,433249a5)
+,S(9a909a95,7fb87ebb,35f6834d,272d8ce7,babad39d,8f8323d9,c6813781,66dd10e6,ce3ead1a,32771a28,7f624835,2a2f6001,c12f16d9,f7093cec,86386572,a2ddbca1)
+,S(f38b1e18,df2a2a64,9a3be25d,3686b5fb,1d77f971,1214d452,a67bccf0,ac07fa0b,5c9e9a,7f71b201,ba11ced5,9c0a4623,419a20d8,c488f9d4,591671ef,71e65ea6)
+,S(42360fca,26b8d095,df52738b,c2762ed2,7b909784,c12b79a6,a86e06c8,31535a67,6b6f4ce5,e43ec003,be88bc43,2bddc453,db93aec1,657f6f66,5dec1912,468345e4)
+,S(e3d7198d,a7c5e3b9,997993ea,a32377b1,b87325c0,5a002a94,53404c36,303f4a1e,72437218,ece6148c,df742be8,35fabfe4,a05f19cf,3205e65f,5c813781,2053ef4d)
+,S(39412945,a8301110,6b54f625,8191529e,2f93db5,bd68db48,d6bc6d9,687cb59b,b8db822c,60f5c319,18b05784,40a958b4,e08b0a80,a1015d9f,d2826506,f250f08d)
+,S(4d275f7,7e0ee98e,76b857c7,ed9368ce,d93dc914,d54ad4f4,21d2c097,cd241fc2,ecb803d4,9b502911,f619d361,f952ab13,935448e8,90cc2f05,277e48ab,a39d7473)
+,S(29364876,c1db9cbd,a3efcd5b,6599ed59,160b145,3c8a9e03,c013f807,869556ce,2bdb4af4,cc44950c,84f56237,95941f7e,43ffb56a,77df186c,2dc31910,f23f6ede)
+,S(7531f4a9,63dccdf7,ab83ef10,d3ba1333,6febcf41,f4b21e55,d380ee6d,e4878034,4753da9f,91d56bc2,1e9628ca,2d6269b1,e1dcb1bb,87c55e,9c44034a,1ba36ae8)
+,S(8266d626,3d12feca,440dce7a,4bdf8ac1,6050ca28,5bc16777,a3d9450c,5c286e08,2500f2bf,fb8a4eb6,6a5e7e36,399f633c,96d908e2,5cda4877,5455df2c,afe2328b)
+,S(66480001,4f339f15,8c39b26e,84389f87,6d5e62aa,59cb63d6,9eaa86d1,4bc589e9,a0699b3f,e3eb5a37,9f078526,375ac319,f145ffc1,da8a42f5,96c7016c,4ad92e2a)
+,S(f8efcc85,8b9c0fba,605921b5,e6c89343,f641e2b8,e1f45134,86b77ab6,4cc70d49,ba97202f,7086f0d9,af5a0ae3,35d9a3c,5f4de2e2,79278834,f8b1d875,50a9d607)
+,S(a5c1227d,254324a3,b1ec627c,93abfb3d,6f2485b0,1d8e2e73,6c542e09,9c992540,c9189db4,8a163bb5,6d99bed7,f38a7f7a,64cfef45,cf977da5,a1d16dbc,86ecc7cc)
+,S(271b2619,a5b253df,fbb655d,7702dec5,6c85bb00,9260d893,8e050606,b8bbaf3,58ccf3fc,22cb8f27,dcdbd174,6abe5591,72bca7e5,d5af3bd8,d86c9a49,3ecd2ce5)
+,S(c9e1382b,20c79741,d81800c,e721d4f2,1202ba30,92cac36a,d90c1dfd,570ae16,7eb1fcab,2a47cea0,3a92f707,d799749,6f7a0dfb,f9a43f6,90d213b8,1231e5b2)
+,S(574b25,65232a04,1d58cb75,12b48945,45897e6a,8bd47dec,b1e0941e,309f2,bbfb86a9,567d74bf,93fbf2cc,6a9c9dd3,474db8fa,c2b5fb72,38b3af8,fe4615a9)
+,S(9efe86ac,a6305eda,4b520e00,4dff6c56,1135e7ec,6953d2b4,a988d508,63046c38,4f92a291,32cb0818,af7cbe67,ec3b4d8a,7afa4f79,91a9ae42,551ad831,aae9af70)
+,S(82ea48a0,ff76fa17,374bf4c3,d0918e6a,df26cafa,33d87284,13aa2dcb,d813f254,6a029539,9bb555aa,39de1ca1,417a8950,49b4c2d6,26ddf8e4,a7086b1d,bf2ac9f2)
+,S(c289483e,817bb06c,31352a24,ba60adfb,e3af2feb,de329f4f,5fbde755,bdd2baaa,3b7ee90d,8b4aecef,62b6854a,1feb595f,9c49945e,c19685c0,4b13a1ce,1c780a53)
+,S(6bde46cb,b5580d58,ea68deb3,1b0587b6,1698660,d78a8300,1c740b4,96e12cc4,3188a6a7,c1cd166a,4894ce75,c79d076,a41cc5c,d142ed91,e096eb32,e9293292)
+,S(d1d2a3ae,2844615e,57f0a11d,66fd7571,176738f,a066cbdf,4519ac1f,65827cf4,7c0cfff7,c01c196,8b7697d7,c51562eb,8271f936,5c7daee7,f963122,67f603db)
+,S(b74c0c87,4d195557,3b551c85,2abf9a5c,e276b088,cfaa0be8,f6515ed7,ba27370a,f0cb0e,380c571e,fe5e307b,ec4ed8c2,6f0c325e,114d71b5,51e0f1f7,45a662ab)
+,S(a9a71b9a,9f126c3f,a17c3041,2317e118,84950077,baee298f,47d42609,f9015874,c05f3ffd,b31bf0cb,7fa4be1d,f634cecf,f1b1137f,551220f0,8f34c2a6,a42e0586)
+,S(d6de1153,a161f27,ddb51416,2b3f823b,2b1b99fa,3fa21c25,9b02274a,80dbc68c,6c620863,659785a5,eec15d25,9acbdefc,714fab61,4e766215,348c80bd,bc59764a)
+,S(dcaa1dbc,3acdca5c,51f8c22f,359487fa,73a7dc36,2a796df,11292a74,776b73f1,dc4131fc,c22c607b,4833719b,1715179,b4b4d49a,958c7514,7c8c4a8f,cc85159)
+,S(135537a0,c4be13,1c3aa93c,677094d5,5f3a1300,95499d21,2206a244,5ab6c,7ef69f1f,d2d3df67,335f0d1d,dd52370b,8f3ebcf,e3483330,48c2f045,64fb0f69)
+,S(28f1d817,c23262e6,4cd572bb,e3fd99ae,751dd6e5,5e9e804a,fb3fe9d8,39de93ac,24f5861,987e3da4,2dae0e89,67c835ac,8f5dfe8b,d41e5cb0,97029b48,39e2cb7e)
+,S(f7c4ef83,6e8fb7fb,8eb31155,c08102df,e0779b87,9ad641e2,5f8ce135,44294289,7f9a781,db339621,d6150f09,16eb9682,16470d23,6957a0d1,3629964f,1f6bce2c)
+,S(f1f5ae5e,1ddc9b35,18b66f7e,25a735d4,ddc8d018,5112faed,a8da8f66,1a28b3e6,9dbff12c,97924d80,50a4a8df,24fe7a8f,5c5c3486,3edb7cb4,1c6d9ddf,b9ad4288)
+,S(95f83173,d170ce9c,1ca0dbc7,4578b639,257c10a1,eb65827d,c2afbd73,8b654f,63a83ebc,8294a88,413c3c91,c6918a31,7d5ab83b,7bee35b8,b75d1cbc,3412487)
+,S(f4ada65c,9f095e11,eb88c8e3,77d60553,96474935,91be3a7d,f8c83c09,6a3ff750,e7683f28,a38545b2,e6cbc87c,3dbcc4a5,2ede1676,1b0dd78d,3ac51a5c,ad861ed3)
+,S(41afac96,f714db3b,1b7bcd59,1dc7bc24,40b82756,d9394fd0,3afe7ae4,299e5fd2,9c2e9c6a,3292ff12,426e98ae,ac654a44,61c52d00,5da7af20,474e9a47,499fedc)
+,S(37f30b1b,2cb81c9b,61941fe9,cca35f0d,e1b8dffd,c42f3ffd,ccaa16e,e8487405,92bf7a85,e3401d51,d9fdd08e,1086b649,8086bb3c,a4c9a2bb,61b1d54d,8cb88a0f)
+,S(2f577166,646e7eaa,21531202,2ce0c8eb,605a2199,454c205b,9d760716,584fb3ce,f0d7326f,e43dcead,5ae0dc68,4d04b969,af32e8da,ed624ee0,98567dff,3d5f446)
+,S(8abbc780,92c5512b,5eba0af9,4affdbf8,3c2e24ff,bf9fe7d,fd57e5ba,64b5150a,58f5998f,c2ec19a,a495b974,ffeccf6d,bb87dec,49152327,91a167d7,f6896b75)
+,S(e41ace8f,a01376b3,27c73fe4,7e57cfc,f6da7cf5,c2810aed,219dd065,c147571c,b590aada,3c2a714c,322d0459,272f98e5,715d4545,196127a3,7d8a94bf,776844a2)
+,S(300c9877,8b6355ee,ddd80f7f,4124789d,7c0c84fc,9d9ebb5a,be714cd9,890f1d88,dac2ba62,c5718731,c8f5c7a,4e1a7b80,68c5076c,834dd385,20f5e93b,e39c9002)
+,S(69e339d2,19d40f84,25a072c1,f7876c3f,dcdb6623,26ca1b5c,87681707,12e24c61,8d439150,59a44700,2157e849,9b535921,4cd47280,937405a1,bad0b86d,38babc50)
+,S(e56493df,8e47a99f,8ab3ccf6,41fab7b4,cddd779f,51fc746d,a2fdd484,cbbdb909,68dba20a,559e14fe,d0806036,d41c18b5,9745319d,758c1145,b6e49ca3,e3f5ee59)
+,S(37a91c57,8998511c,d39c11e5,86e00eb0,f76532de,574d9c61,1a34d38d,e7f50587,e3a188af,d2d8a24,735975dc,9da895,feac2710,ab9d381e,e5d1dc43,b3145f18)
+,S(c5f059fb,5cc262e1,12c629c7,194d783a,6224016f,65e4d24a,86c52742,dee88c1f,1c85bf52,1a96a95a,5177792d,590b46d5,8c090705,1efa0623,ab15578f,b38c890a)
+,S(566edecc,d605ceb1,a298c59d,78401acf,c6323c63,f2845827,62678924,9b8716a1,ee0d1373,5adf6f20,789f85b9,32d332ff,8c40b3af,c02010a1,5ad062d4,5a44cc90)
+,S(327e7033,c6ef4f87,52e33d,bccb4642,3e6cf4e2,c3ebb4c8,db69ccde,db2c7c7b,fc49092b,2be0f29b,4aa3e266,709aeb1c,12266239,f7bd9263,4aae16e9,53e8db36)
+,S(989a7f69,3ac0ac86,55f29704,ea6caff6,84ef5ae2,8c5f5e1a,1eae7009,97778024,573d127b,3396458e,74bb5bd4,4acfea64,e8eb1fd7,3b0b292b,d1b7b642,80dadfd0)
+,S(9ca7672f,14f27f54,ed1cec4b,74f49a57,7ce313fa,4a665976,9c22cc61,b30fc94,f920c4d7,31d52a4a,30803f81,82df8d30,6ab14104,eeec11dc,d2d6ca0f,3904e4a1)
+,S(db100645,654fe8e1,95831687,17e2721a,6097850,ed2ef0cd,e1d5555e,7847f5f5,2b2c3ece,a9c90ecf,34fcdf89,5f76c8b6,619287ce,e745014c,96281928,31056567)
+,S(4e2a0c9e,82743b42,5e6110a8,f3bff14e,418a34fa,65269c07,bb94d00c,d53295a9,512ac2e3,e00bb04b,6b4b9059,a3ac69c,8a34e5ec,8dfa14b3,d98b2c4e,3cccca7a)
+,S(c12b3f70,24ea8acb,5136f98,185fb1cc,60c71a77,2943b68d,7334352f,66ac77f6,b799f99b,6f4b76f0,1f09f5a7,bfbe2526,d67a195,83327323,9c07bddf,2544803)
+,S(64e5a2e,daf34e1d,ebd7c0cf,616413ff,d6c09b82,bfa783fe,aa755464,8ffd7e58,e020e09,66f032e2,e905d611,adf0926e,7509a2a4,b51844ff,72651f34,3c2f4a50)
+,S(2b0b8b55,fa734380,f6ad1857,e03f02dd,3d66ec57,2cfb3b9f,ef040895,3f0a838a,ac897251,a9146597,8e0b45ba,e1c880a4,147ce01c,3408e476,5bd9013d,9e73a61a)
+,S(ae0e3d30,a2026133,d3a54529,965a9679,6523e8b4,1efd4c5b,d6778930,2a88525e,fb6918ff,85632d24,250be67b,339ab260,c80c087d,da1efee9,7ec5dfb5,38f80552)
+,S(2ff9c711,4dfea166,ffae46cb,1f44c3,3bfa1530,edf23454,a83de862,8fe00dd9,53f667a,4441817,a3e38351,78195c5d,acb0d707,bd20e759,9b5e82c4,6f318783)
+,S(cc027014,88b959c6,c043f60c,c42b1449,9e2614e4,c19f5726,3edb116a,4e7bf695,eab3f590,9b22f677,666ce655,149a5f07,7b5325c,2036dfe2,e572e64a,5bb6007a)
+,S(1801efd1,3c8035a6,5efe3b47,68495d27,f9dbf45a,f019d455,84d68be8,28a945d5,dff2d19e,fcb5968e,f4ef49d5,9a82f8b,f44a5abc,e0b68568,1acbda1b,fa59c4fe)
+,S(6da2a9d5,7b60962,357c09de,4c7ababd,5b698fe3,6e747f8b,e6ab78fc,3cdd7cbf,1e274e70,4aeb8ae2,295ac9f9,b37c0af1,71310b82,99acc378,d505bdcc,e275060c)
+,S(7e8fc96f,6a9215dd,3bf9e8a6,ea944ff0,c7dfe23a,1a99f44c,832a11ad,bafc82e4,e9a4fbe1,e0c26ca7,f739ed00,c63f3886,57d09503,a808ed51,ddc872e3,b1342bff)
+,S(a6362f3a,77d6d6f7,fe266ab3,78707641,9f53e133,718ccf27,559bb448,7e0caf64,c01622da,3fc2385c,60a5cd86,66f751b,e29d8539,f473cd70,8784d61,d2cc787e)
+,S(51865222,28b47493,a3da19b4,7076c1a9,8582bd55,37c25557,44970075,9b37d2b3,f0f0b979,68638d9d,93fca65b,f40cb8ce,826558b8,52451ad1,7d0afbd0,44287be1)
+,S(a2a0909b,a9f1b9c3,8c714ff4,f71995ab,4d80212,9e8ee8e6,7e8bc3d1,81d472ce,4123900b,d45ec7bf,71bfdf98,ec453392,8b364d1e,cd925a6a,1e8f5c5e,ec40068d)
+,S(da518122,454e7f36,a63f5ac2,a1bf979e,f1357bea,f9f0c921,2b031f87,b83aef2d,bf877efd,d415e80,c828c5e,1b9dd8b9,6cb7f3f8,b9a0cb32,b6bd8f37,686da722)
+,S(41c40c54,1a983125,e59aa572,910c5aa4,8a698306,d483f82e,6cbd7506,3947a87d,76dabb65,6b89910a,bba9f129,ffbdf5e7,ef840033,c30f4c81,4e86f101,a3bfc57f)
+,S(c49fde83,87f2e464,6847c980,acc50d88,28745e4c,88a41318,709099cc,9aaddbfd,a65bc512,dfd07bd3,79cbaf9e,628be7f8,c7ddb4ee,6611fa94,bbb48c7e,ae7227e1)
+,S(85b17d61,b6ee743d,4df21940,6d7b7426,3a6c6b88,e8c51071,7a1f0183,e0fceae,22b9e8a2,74c71feb,5046ce02,2f4bffbb,ebddc53e,704f6be8,92d3092e,55868fef)
+,S(c8e1d37f,e6d677f1,3e752189,505639ee,3914afc2,c8d4e43e,883f5c54,f117964f,b0cacd18,d08f5a91,af46ba55,91f99497,ee4a7ab4,36ab48e4,f88ad5ab,39bfc21e)
+,S(dfec0030,7d25888c,5a7d6f83,33112995,1a30baa0,b97add9,866078a7,e483836b,4e5a8a06,bf2e9447,ef466416,82af8e44,f407ca0b,6fb97809,56e13a90,bafaa00d)
+,S(eac6c438,7c18d8c6,eed7618d,c9d3076e,c842ff6e,5f4d4b20,92594d7f,7f0be9d6,19d69bbf,fc0c1b82,ba71802a,c0feebbd,77a86a67,d734a163,4e823a6b,2265b8d1)
+,S(9ff38c4e,4dcddec,a4824db7,97f6ac80,69432c15,9cbc99b7,4d642011,b3424cde,f72fa660,b7c1bbfe,df45b0c9,3cc84b81,266bd041,b94f54f9,1d26221b,51619ebc)
+,S(5e78593f,3a5a3293,5f9e4f8c,4fe28555,9153f69d,d44b2c1c,146fc644,a5313f36,9d9d5844,dc63bdd1,b2d95b70,5d63c97,58cbc5a6,1b2d114b,89da9b9a,8afd9c47)
+,S(a107c7a4,89284b6f,b01ba38b,3e221c2,ad31a48,77af9b32,d22c8544,71009ae4,66072d4,6be46591,ee386cd5,bc0f9f2b,653b580b,c515d4c4,a0fc369a,27d9f6b5)
+,S(241f1d0,308d9845,fe2445ba,67929976,ff98e88e,cc23a8f4,190ce5fa,41b02af1,886697ec,d413a88d,fa15723a,daf91d32,9c881ee,c5ac9c74,366b7ea8,a7e194a9)
+,S(319ee8d2,627f906e,83d5c6d2,6eac3b42,34186016,8b9a9283,c8790c6b,e48a72fa,59e496ed,a67816e0,3409f849,1cb458c5,76034453,65fb281,9d0cc427,3e9eaa57)
+,S(1866811a,fdf9bd,937f4f7e,96985759,e0100866,192878e1,a2614625,bfca4822,215e0465,e85f9c88,2783a131,6b65fa7c,585f0319,1a642501,72e51269,d5b7ae19)
+,S(7effbed7,b949000,5db429fb,8cf64099,3989675a,f7394ce6,9ff2f769,53992f26,6efbb5ba,28f26d4b,5256affa,cbf2dc0b,616d8b6a,c6cd2aa7,a1d09ac8,40c7c749)
+,S(d8c72bd0,e59315f2,1fee45c1,937952b2,665c8d66,70f14bf0,957a4d25,2b168867,64c02d62,fdd40a6f,d11e2cc3,a73fc60a,8a2da31b,2c99ae6e,5a946c61,be56fbcd)
+,S(710ec622,ce64f381,43b96bbc,b0b0d691,87bbfd51,fab4d47a,bcf18308,18d0db4b,edfd1086,526c3af0,c2e9b961,890f531d,3d275c36,beabb0c5,4963314e,4534d994)
+,S(9427964b,9aeaedd4,9c168e76,38086ddb,70574f27,9e4c3348,68e4c595,30d51ca6,110b41cf,2a6b0067,eb3b312e,928583d9,e0026bea,684c57af,7300a611,5c4e2dd8)
+,S(aef79435,a8b3ed9c,9eb515c0,6db62165,c5a2e816,5eaa4a5c,46a59b39,8f55565f,6616e8f2,1274c425,c50cb93d,8942aab3,3653511,3c3552a0,118b17a4,5584b91d)
+,S(3ebdd832,3546063a,68f40193,59d72f26,f49f0ce,4a5af994,a4ac67f3,3074b5a3,12367d4,b29549ee,d0eba318,f395d712,db7962f2,c8e2d9be,ed895006,78460238)
+,S(a38d9e5e,c52b0871,d0bc6bc3,b673c848,19af86e2,534d60dd,729b405e,426aeff2,ebe46771,d9ae6c5d,13895538,3c8de4d5,f6d13428,8ac36a1c,b01c75e9,f32cad02)
+,S(e7d29f82,619cbb19,90c407f7,b452cb8e,334369a1,16901b0f,9f4ec342,48a7d624,7595ced4,618b5160,6b8ce230,45d7616f,15b6ce14,aa8eee07,42bec5b5,9fc4e614)
+,S(ec869eb0,279227b9,4ae333e2,6018f00c,7523de5c,e3e8c4ed,f81cefcf,4043ceae,a421aa55,2c89c841,a48bdd26,4e67d82b,ca3fe577,64101556,ec6ba7dc,711ac92b)
+,S(4549d908,e44a8c8b,6fc5c057,144a352a,6f07523c,e026fae7,c070ff35,c6ec5e71,71d8e320,7707e04,10208c19,e2c8dc79,64b48600,1a6d640f,44c1138b,7ab5dd7a)
+,S(51bb6e9e,fef7b8c9,b0a4f381,3e1406b3,2cc7a53d,165b385f,f98144b0,a5b070b2,65282be9,dd794fd0,8a31de11,d46df7cd,5268eedc,aadf3bef,de5956b5,a467044e)
+,S(7cdc3297,4c7caa82,44203afc,d48e625e,aa2027d4,d91613e4,5a83eba0,696d001f,b92b9943,3b1a55b3,b78027a7,a289e5a2,6060a411,6c2cca36,19253490,83519565)
+,S(3ca9c6be,b8e989b6,a67722f6,d817a6be,aa478fba,10146fc9,3099575,609c9314,5502ed7f,f4b81bc3,8386bba3,4124ca30,74c6e0da,bd148e4d,6bb7f096,ceca2c0f)
+,S(aa2abe6c,45edcada,f01bc1c8,38ed5e63,90e1a229,cc920436,864111e8,ad354d0c,1b8229c6,6f91304a,24c61251,f1ba2b26,95bb3da8,87154d47,c44dc9f2,f824f6cd)
+,S(b52cae3d,f28c9d59,319f226d,ef73b60f,75466aad,fbe6f75a,2ab6936d,8e3bc7ee,ebee735e,22c091d,cc873848,8a7c958a,421e0759,2e17fa3a,4462db88,8bcfe220)
+,S(c1085703,62a6dcb6,13da6283,23496169,635469c3,47b65661,838d9053,3821ef54,fe6442c8,c1e6a8eb,2dc2cac1,40ad4c7c,44511cdd,82b79cde,c38cf9b3,4ceaf517)
+,S(f09e9d1c,fcaf127f,59d45476,56422907,83477fcd,2fa6c768,d5a3965d,af08c11d,f01a722,1f44fb15,bf428fc9,c5d7efd9,a5b2e663,cfecc9a2,7e8f964e,8bc15d10)
+,S(602462ef,1e473ebe,d88b3b17,9d71b597,fd3e805f,e03d341a,36c277f,495c4527,f91db461,71411dce,aaad9f23,53f2159e,fed2a9b1,eb9d2ce2,844e1f6d,63a079c3)
+,S(273a881e,8e0d99fa,104ae355,8126a20d,6b828d13,96bbc70,720197fe,9bb582d,5bb26c58,14a7b914,cd3b2f72,7f76b6c0,d1b40775,79a2c3da,29534a1a,684b0d5d)
+,S(7c1df346,616cb72,b42f4172,36fc98f9,e8cd0504,1da47d9f,566c8df2,e80cd54d,ad3e7e0d,d602b9be,45ba8d45,6bc12558,73153c2e,c16773b9,390ad630,4fc41dd7)
+,S(796e2634,657ff114,7394551f,3ce800b7,9ad644b0,539786d3,c62c6551,3d942f94,b65bbe38,ed587111,c480eb9,c30081a4,1e8ec66a,8400db11,bb1cc7c2,a14f1c60)
+,S(5e2761fa,9985f68a,a469953a,2a6642c8,62b0565b,602fc206,193bded6,1a302bd1,5ba09b70,9db24f5d,2f47c07,51367d0,3715c9da,b7d430b4,713dbac5,7253e274)
+,S(46458c92,fd341a0f,eb1ab038,5a246b40,5c004c22,98db90e6,164126c5,4fabe794,859d68b,345341b8,58afc324,263f1ca6,9d018fae,eecf33ea,f02a3dd8,d7446725)
+,S(fc481830,bf817c1c,ffc9ddc3,d6f4e624,a410e134,cbfb952c,5c7379a5,81153265,a188b228,bd3d7da1,44a48e89,fd9db4ab,8dfe385f,ace8e169,a43a2787,59322551)
+,S(42d9767d,9771a550,3c702742,ce2aedbf,3a780466,804ad901,7792610d,5eed03e6,df69432e,9764f337,3a2c782b,e02d2433,d2e0f568,d0dd83ec,e89ea1c2,5ad50417)
+,S(37122c49,993ab297,72e60222,615ed912,462deefd,d28e04dc,dc72f4e1,b9477148,627ff4f0,924cfbc3,aa0422cc,36402b8e,410b3ede,a552408e,f1d3820c,5996e39d)
+,S(9c548182,94bafcbe,743e52cc,a76e1ead,3619a557,a5cb8bb7,3140ea1a,5c6896c3,5fcc472e,b88e8528,ec71dafb,f70504c2,ec0478b3,209494c5,b53bf05,b38f7fcc)
+,S(7b9d7ad7,aa5b1f69,75c4e025,17123608,a59277f,d63f2a07,7ae69b80,f65a2db9,6cde1ee8,714aa229,d01c14d6,f514ecae,c4a7f15c,a756812f,abfd61fd,d7d1bf8)
+,S(af5ddaf2,c985560a,d656d948,e41e082e,6990e950,6c77d53e,171cdea,58a9a102,e348451b,72896ff3,c4839ff7,6ce16b59,1f685348,eff943f5,fd4581f9,eca5b505)
+,S(42667f18,e957bd19,5fab366,2e0d1565,d26394b4,14e2a9a3,95becb69,2111293d,288dd2b2,69e9bb63,4e7fb16c,1fe25797,3c0076b1,aecaa2a2,e57020d5,66bbc7a5)
+,S(5e9c7a1d,50ab8326,74c2a5a6,f32665ce,9be97161,5e59b618,587541b7,40b276d7,92283461,1f39af42,34292c61,2c70744a,ec466418,ee08b5b1,a298456d,5fa11f17)
+,S(98c60ffa,f486b582,2b4d9ac9,7b320b97,8b52b506,8b46bc48,9a2a4f28,dfed8b2a,a1c26113,c2534955,812f42fa,306edbe5,70416d84,aedc132b,5807b29b,745280f9)
+,S(92bfa982,1ed52cd9,3c286e71,f350e5a7,f309481f,d866516c,f0a7599d,c385babc,a3fc9796,c71ab4b1,b7a54e73,8dfe24f7,6f527692,9516bcb8,2fae9ed,b2c1ddb4)
+,S(9be27408,bd8eb59f,ace413e8,402b0c37,7b7798b9,3bb18c4,ec197382,fa5b865f,11085580,19646a39,68eed2c8,1bb92dde,def3ec29,5024c027,f54e8bfd,a67a2f61)
+,S(27cd6a6c,b7bab059,6b791ce3,8c0918bf,7751bc59,db9e5827,5b1b9c46,976350bc,890d5167,8fce2ac5,f13761df,68651e7,2f41d04d,4feb4011,a16f80ee,83faeda8)
+,S(e896e14d,aaf96139,4c8f6597,a0c66463,5f22be3c,96f30e1f,5d8881ce,f468f2eb,beb004b0,512c1ab1,dc4d971a,fd88baca,efea7e84,dadd2726,bb9f2b3,b196030b)
+,S(24e2d269,ac485401,634b3779,efab2c0f,a9dd2389,850bb3da,54ec0d67,e53f8ec0,de702ec2,642bd4c2,3bca2ca,663a05a3,f5beda5b,e41fa460,8929aa58,219e525)
+,S(97a627c9,48c1c9e4,5d50159b,4b121a50,9b5c4d01,de0a7db9,5a9d9c09,681d1676,19bd095b,55399c29,fcad4303,7f5d5c21,8d5f3cf9,a7c90b9f,fef7ee92,6f3203d9)
+,S(a70d8251,e604ec5f,777234c7,f9d3c850,33ed6760,1fa0814b,40bd5370,7195b08f,df28d907,74e23de3,f152c016,ac710d43,85325a89,6a859f4e,e126d50,acbccc4f)
+,S(2d676c43,4b276472,ce01a007,13d78b17,27743a97,36f3412e,a7c8c15a,fa42f42b,be28cde4,6ef5d32,403b8f94,1082b684,52fa703c,339498ea,24c08ff,c9fa7312)
+,S(f66c25e1,75167275,5db857cf,cf27c036,46c89d29,b4a0d729,28fd42b4,b29cf5,3ee23ad4,22c4a884,4c049150,cd9c18ca,8d2a0231,bad69b6e,5926de9,c7193201)
+,S(dba47c4b,9d39d87e,ef44f81d,24e8e005,ce6e77ad,8e4fdc6c,29393d7d,2427060,2d5c6492,e53d000f,977eedd,4dc3b5c5,5240f28b,9fcfb597,338edbbb,3d8d7622)
+,S(a17601d9,4f627dc5,5895aeda,e91da3b6,94788f65,f083b01b,bfdf8815,27e10f0f,74089fc8,cfea1b15,afb025bd,99905b3a,baded5b,45e30890,fa3d8403,360a1183)
+,S(dd70309f,b84afe90,7e261a12,5fb7ac8d,1c24c6c3,54eb83d5,188f3a13,4d80e141,32014ac0,ac93a77f,9d35b786,2c88ddde,4bdfd566,f6555868,2a836535,44bed563)
+,S(79fd503d,e746baf9,701253f0,4c6a2f3,cadefb93,920c83f7,83b57768,87037afd,3c5cb658,63180931,3fa20c26,647a523e,86a4e600,8e8b17f,1e0d690d,eca61b93)
+,S(d1aaf37d,77c7d63b,1f4eb896,16a29a4a,1e72658a,93560956,6b92c122,ba0ff6a0,e535b7ae,5cfbba07,2bdf0e0b,bf435bdc,c7cac39d,9d9ae32e,cfd13945,3ca93bec)
+,S(68ff1b82,b351d94b,9b6b74fc,2cda4345,fe525d58,d6599644,5c752757,aad93c4f,abbb0ef1,c422ac08,d06194aa,c5d93bdd,9186e374,8518192b,79818f3a,b465a13c)
+,S(22785c97,18063e5d,5db73bc,f4ca6487,14393ea2,62ece24a,5c41c059,9610552d,9c08026a,d7a7a80c,24c5e75c,8a75cd6e,1933e64a,25cb98c4,157181aa,ae1d8774)
+,S(626cb5e7,563fb757,5f066258,3fc21762,e2678063,a77d8580,8891f244,4f5ffebf,8369ff6,72c3c3f2,43516184,5a9851c1,953a6da2,5662e11c,ce170cbc,668498b4)
+,S(a99f0ef4,d6f46105,80ffa430,b88a4f28,61c8c4e4,b6fadac5,5e668f5a,80d12d2a,972adf29,39db0083,77802c40,6ae2aef6,4e2f064a,f8304d3e,28fff33e,b1053d06)
+,S(b243ce27,2ff0b2db,cb80a3fb,dfbe94ab,784afe3c,cab3fe61,1931de9,c7f02645,db2ead19,fbb8c820,c7233df8,fea51836,3e85b858,4622be9f,41a0448e,360b7559)
+,S(c74e3c9d,685cb62c,6a71b21a,a1dff5,43efb264,543222f3,f8bdf570,4363deb3,987d8261,fbf23d05,a38358ef,c4efb61a,5cd550b6,1e833ed4,38734486,edc4b2ec)
+,S(ff2f64a7,fc984d4b,d1c885f3,4c096e9d,d34710c2,43dc3047,8886ef0d,ddf71c47,14c06258,fd5e2fdf,1eec9125,7690c0d7,9eac60d,785f2497,65e1a85a,a06e906d)
+,S(7d92c4e1,3f4cab24,d36e8a8b,140f743a,6819b514,f6a19bad,ec162141,bb712085,606b5762,2ec7d7d2,a9b19330,9da686b8,3e0dc920,e6be33d1,b726f416,81b698c8)
+,S(3a43d4d,9ef45289,89c9487c,77951602,4ce0cc20,ffbcd518,a0bd2546,fe13b6c,5f24d325,5768905e,6ba28d61,e6b126a8,eedad2a1,53499912,dfba3fc0,d9deb36e)
+,S(8e72f02,80105e4d,15cc67e7,371d0c5e,6e59fd05,b3c66308,67342a6c,eea25f8f,94ddc51,58fdb86d,f09870da,47b79b03,1eada5ad,9bbdd509,9ea1d9de,96b368e)
+,S(b89cfc23,6dc02762,ca77f9d1,8343f12e,ab8789b0,e5872d6b,fd9d013c,ccef54dd,9c9a7285,45a5996b,4a6ce6f9,df860d11,c3ad135c,f1f7437d,2ba7b904,411141cd)
+,S(e85ee008,979868b4,bb190b53,5624b3b5,6744a43e,2c473ebb,c64e4910,41ccb59b,d3afe70f,9edec50c,227e3b3d,7eddd1d,e1c9a8b,f842d723,a8075a52,12cbd6a2)
+,S(d8dd6bf2,774d6d15,93cc8e16,d5134066,f7f90651,39915b3b,fb0d5d93,b6cb97b5,5a203094,5f734f3f,11431862,b85e9f8b,25f7e6d1,91512b2c,6d256f4a,535e26f4)
+,S(77e081c5,328fbdeb,45fbd554,5d133d84,33968ef,98d36aec,3e6385a2,76aa94e8,2ce853f7,ca25f2f8,45a6291a,3e080504,ba597fb7,91a21669,c0cb6be1,14c2959a)
+,S(510786ea,e8a49682,6820b82f,549f07a2,b5b9203d,b1ad18c4,fb9c479f,67c904ab,dc130385,4e4dc69f,f63e21ae,71dc8674,b39382c1,eab1d8a8,fbd96867,af9cd96b)
+,S(2fbafeb3,fbdad5b6,4c121056,e080d0c2,1169e433,3abc0dda,bb642789,a242639d,a85d82f,d9e6a14d,e599ef0a,11d3eb39,5ff199c9,5ea5f1c9,2f3f8a7c,14405cd3)
+,S(200dbfeb,6e6e463c,1f3fbbc2,6b5f00c6,aec80809,1e28eae6,73b2b5e4,7b12ae0a,4852a219,bdaa3d97,83e1f071,15491827,83212776,fcd1b44a,c59dc01c,bba95ecf)
+,S(27b140f6,259f7dc,93d46b6,e52cdb85,3ec22572,54218ab4,1acff2be,24b8a3d9,3ceed09f,70cbadba,d40054c4,f130e312,28bb5d63,71a74f7b,c85aa7ff,c0583387)
+,S(fe4941ee,535c5311,8222ec35,14c2b02c,e175cca,d728ca0f,cd1d64ab,e95b7e71,e9cdc9ae,286d651b,d89cb442,2a64ada3,748e0ade,585cb70e,d357004e,e51f56f6)
+,S(317d209b,4cae94bd,36f443d7,65be2f17,ce47ced,59935d88,5a03925e,75ff1cdf,c191495,68fe571c,ff945af,4b6a801e,c942a5df,78a62864,5434a5eb,8a262d72)
+,S(f951a777,764e30e4,7705f8ab,150e9ab,df32e80b,593cecea,d9f9a143,cc93f9ea,efb951d6,25f2223e,e6ccc6b8,b12cddde,6ac2613b,11ae3052,65570f15,23afd925)
+,S(71adf0eb,f5fd8e8b,f0f229a9,ffe496aa,4f251af6,6e5a284d,3091f344,3389c8ef,13f47463,293a5536,674dfdf7,2dc73add,98ed5672,e7676425,39ce655f,6b6969f4)
+,S(2ea0406,58c0e80d,499cff39,ad463412,c3fbab1e,81f6eea5,911c45,236be75,be52c74,6073721,f09743d2,9a0a4e3,d82c08ed,feee2234,29163bc8,954f923f)
+,S(42352390,4b3e80c2,750c4222,33f0b1f3,a373442d,96278935,d9b7e51,b6182aea,7f582349,b27b5166,30c8e48b,a9603224,fe09e8f,814fa966,395fed67,d9221d91)
+,S(524d3c82,a92b285b,96064bf8,e9abe0b5,7702a29e,dc08ce53,771fab9e,fa7dda91,a47a0217,fdc6b2dc,d4b68e05,331bfd5c,366a8477,d3ed894,ec747240,f0f29c3a)
+,S(f6ee1e08,5ce04de6,6aaeb5f5,f232329c,fc83caf,d16bcc48,776bae16,c056f7e8,3328b26a,7e2bd49a,aa193977,4947d7b4,ccbc955d,18b27c75,c2f6ac6d,bccea4d9)
+,S(9c2f7d2b,b88f1417,722b5d11,95077d20,2ea84e6f,9bd93dae,3134d16b,17273978,1089f003,66c8b435,ce73c592,7c5e56bd,d338a4ca,ee5307da,a571be3c,2dab2a3a)
+,S(593a1eb6,730fb6e5,1fd24f15,253ae1e7,5897b7b,48efe28f,9b9813c6,ca99cc3c,fcfb7820,fbd22d91,bc03a630,f74e519,9e35c1a,a3b1cace,40433001,7744f079)
+,S(62ba10c3,83a7bacc,bcc4bc60,37f87a5e,8ec0eaff,de5a39f4,ef352b1,51f957e3,c267a1b0,dc84a161,a565fa19,aa0a2501,9fd01e0e,d7a660be,c2a7e9fc,cc7bdd45)
+,S(1de2ac10,deae62a1,63f641fe,3a4a9da,39e12390,14a77c6a,6d73c619,5f731f64,60f43c95,b6d7969d,427b5ad,782214fc,a512b75f,a6f50006,d7141a89,dbc8d2b2)
+,S(f11a5552,709083c8,83d08612,31772f18,c48e9271,6acbaa6d,a43416c2,fd4e1d3,a6d0ad64,7cf48c41,b6ce397b,38d5b3b0,2be51554,da2f3f4c,df593514,a2d742f4)
+,S(f4454640,d75697e5,21d5cc01,fca5c7f5,3dbad43f,116c243d,2aeae96d,7cdc33fc,42972cef,46fe7704,5d6d7053,1a74ec87,6b25996b,c4cf66cf,b3784f79,66549102)
+,S(2bfaf073,97be067c,1b7c20fa,3b319fad,10905b8d,8ecdad4,cad2ec8d,a1b8780a,ed526499,ea97c967,3d28bdee,9970f4fb,9077deb1,5f823cd5,775cc526,4e590285)
+,S(fc1abc81,2b5fed90,bde3ca16,3422f73a,6df6e058,8ed69222,cfec54f7,4cf5f73b,db1c6edb,471cfcbe,468481dc,4b1cd1c4,7ac68f6f,4fe9dd8f,af0d1136,972b975f)
+,S(d838c2ac,82e02f9b,a376f92d,293c02ad,b717d65f,be31cc76,12476e6f,4c506a8d,d87a3067,388f8e0,3c176f6c,a7eab123,532dd1cb,3e0f6ae2,51d7b31a,35189377)
+,S(4b3a82ff,7295749,a259d54c,a9a5e539,32c53ff1,33a1c4b9,2f697e06,b13ee38c,44372b41,a788456d,3f66a0c4,6c815210,bf60734b,e570a290,32db3075,ba8d6265)
+,S(d77cbbf3,6731ad4e,325eaf6a,9bd52f70,8e79d290,e379c2f2,b8d6ad3,fce411aa,ee466d25,f07813c7,91a81237,748bda9a,51f4266,4a385b50,5259bf84,ff8372f0)
+,S(3867f6b2,58920b82,6eca75dc,953ac307,bed1872c,c0f1c6ec,84efc6d2,eeea1483,cc6a6adc,e6078097,a013ff18,dca9c5c9,254d70f4,68ac1cf4,b8267135,af88aee3)
+,S(7b008875,e85fc84f,618ea7df,f20f7f17,2123fe98,c07b5279,930b52ef,cc1b0a9a,3f3b30bb,8dbc9169,a5c55a1c,4150772e,331f7834,b50bb904,a8c56600,bf075f90)
+,S(ba5b44d9,16304a49,87579560,4d4b796,907e9b7a,4da49a5,ba7a1d77,8e34ef3a,16b49baa,48219e3b,9bae124f,dcd4de,4d47ea76,3ed39e13,f874c75b,cf333661)
+,S(691eafe2,7fe4120d,852b3a23,b5bfa646,910fe521,355a3594,342d629c,e2b8d9df,43a06097,42184dca,7c294fd6,a5227dbd,bd71ea1d,c4bca878,1887f9f8,b6c71d85)
+,S(13a6cbb,c9f5a86f,35173e38,a45dca65,551377d7,c37542d8,44006e48,54a54123,ecf3809c,9a964d9e,ffdcc2e6,2e8faf9e,8a43d38f,3023c4b8,84d18948,8488620)
+,S(33fd2af3,fb595cd2,93d731e9,1b4f0e5a,da665420,2dcc36ce,b712e8d5,e6f10e45,e26a307a,a8bdda4,4b981bf9,808cfa3a,80ca5331,b3a94c31,f6331e60,98ed2cf)
+,S(75954033,59e47f78,76b3ba57,5a758493,b0033298,22f4e44c,15cbe58b,34b774f6,7ee9a040,70b8568d,b0a99855,3442c000,b6e6651c,a7ad1253,f8e703de,5e0458a9)
+,S(79199fb0,c3b17e68,4e815e7e,8414bef4,b3dd3665,10d032f3,6505da59,6f5b9480,95bca973,f358c9cf,ef3aacba,54a055b8,abaab383,4191a1b5,54ac3ee,53d9a0ab)
+,S(9705f4e7,962ece0b,2e7ed64e,a33fd40,6edd0bc1,ac8997b5,d6d70000,a51aa352,4d4ce757,ad4547a8,a126193d,8921d6d8,58f40855,f71ab99d,b2bdd728,499ff347)
+,S(881af067,b841ab5f,30560b98,3376674d,cadeeb75,b8b16e12,df7da3ce,312fd777,ccc13fd4,512ef05d,7c10f62d,8b144b1d,7588be3d,1a3a3701,9accdec9,3483b84f)
+,S(fe8f7a44,33c2c9d8,f42e14cd,97ad0794,41bfc3b7,2fd412fb,1f6d5f5c,10e99621,e5b576ee,cf34374,96dc4ee3,a846c79b,4c8babf3,cc46a657,2a93fdd4,b6b3b2a9)
+,S(ff43c8da,18e08b38,3f92f832,3c34e83,84f40064,9e0506cb,91893abc,5c4d798f,a575a059,23a9da02,c0c9dde1,981dbd86,f5a75433,a4bb2fd5,2427db01,7ddf2e7f)
+,S(4715056,b97f4e21,13485242,74bb1b33,d8f9d841,73678a42,ed3c6fd5,28db276b,b4c0d146,3521f1d9,fe8cd71e,fb98aa28,73a18bee,66fae12f,cabfa201,854302b2)
+,S(85c9d808,c5f51d5a,c2a51394,cb83e7ee,acd85eeb,31a88814,9744871c,271fff51,2a7c3bf,23829b88,66991454,d6ec7f5e,185050d,1982deb8,b4992bbe,5b666a7d)
+,S(c02b94ef,8b1e368e,3cb4b25,903445cf,f46b60c7,6d6d2f24,529997f9,7d70dac9,bbb97d29,bcff81e4,8d417825,ade1d28b,10fadba2,acf961d6,80a343c1,e725f3a0)
+,S(4b1593bd,28e26f7e,431ac439,3d353a1e,fcb8b63,fee7adb3,e29472a8,38241df6,8a67a728,f4966855,26225b11,3ac9d858,3f184f8b,3ccc8ef0,d6e4e34e,f2fdcc56)
+,S(f640755b,ba51dee3,ad650555,9d52869b,7a8e7f6e,4b9dcdd2,31d1cd4f,26a64dd4,7387f800,a53e290b,d4c29f6e,ec24ac07,91e0e3c8,55d14882,a48d0539,6e87e1c8)
+,S(949346a9,436836c6,3df6f42c,d708cef8,16d0a522,914a606e,2276979,7789515b,a903932d,952a0201,ef65c847,b8754174,31dd41d3,ede5c073,31383b9,a8e2b356)
+,S(1824099e,c769edfc,2390b1f6,698c22f2,cdcc9783,c5cbe45c,de46008a,67f91a60,f8405fa,81e04dd5,6ce051f3,bfa088e2,804a8780,37892ae0,adf42767,311bd1e2)
+,S(e6b46fd8,e4633d92,8805f34c,ce95f3dc,683aa792,139c62f9,2ec8acd1,d601d341,533db813,f3fea63a,528faf4a,7cbf58d8,d6c0bea4,c28391d1,6391d300,cc1d824a)
+,S(63799b30,dc19b18d,d48d150d,3d4139d3,a04c6252,f176015d,60a436cf,ff992b93,26205112,5ebf4dee,d00e72f5,ff064178,7f485cb,2ba35507,3c3cdb0d,16dcc41b)
+,S(8cd02f5a,b1d5a02d,e85b88d3,ae370b0f,7fac5324,9f1fd676,670a29f1,2ead7338,358b42ac,ceb689d6,612cb70f,bc9bba7,511d56ee,c4390627,8e2f0961,bcc0d8e4)
+,S(d5e167e6,d48bd1dd,e95aba41,bf33b065,f7612766,4a0a8991,d3ea1a9e,ddf82fab,6cc23982,d653cdf4,fc4ec9cb,3cd86ae2,aaf45f62,38257d70,849c2686,ae71d1f7)
+,S(c4073500,6987f2df,1334f09d,97f00c19,d72b1942,5864b0cf,4ff19dcf,7c9bfdba,f6566846,6b461326,a9b366bf,30378f82,b760ff0a,ca568ca8,2bf0c9d3,ff7ff262)
+,S(9df1e71,9c501bfb,8a21db2,a838318e,29a7c2c0,fb2deb91,1840c7aa,f0c4fde2,cd628cae,6d0e0c02,b0315ae5,4901e703,e977c75b,43defea5,80a5325c,fad00fc0)
+,S(95176429,df73c309,23108ee,6922c597,1c91c249,ad7165b,7d08b84d,2a4c696c,3ecffc49,3b62dbcc,82208470,375c929,1994fbb7,240740cb,dd8086cb,e9c0fbe4)
+,S(708c48e8,692b0d35,e13a7e0e,94be8fb6,f57fe187,34f5556d,a318f600,c5628c6e,9534e302,deee1d1f,27e0432e,9f6a2f00,5af7e601,3f7da9bf,e1cde320,a105a664)
+,S(2775e17a,b82dc739,b5d62079,4b26be15,46275ec0,9d32622b,2991cca1,4e5b4c09,3aa6ee7c,80e8359f,deeb52c2,8da1328f,338ab228,8744d52e,8a9b7908,1b1ccddc)
+,S(47c1aac2,39c4f31,cf334959,b8fb48a0,44da6b34,3c383270,be19229c,30192da,5dad651c,5ba6c21d,845cd402,59a051c4,e5813f5a,21228355,1fde158b,600d7cc0)
+,S(f80f445a,4b864c96,1bb2bf5,9cfa25f1,eef459d4,fa28ac70,d77daa1b,b8bad15e,a383de04,6b8c6996,6d0b9da6,ce9f88e5,83cd57f4,a5f12c88,63f7ff70,b374ff16)
+,S(2924e7b9,1ad33619,a8df436d,578b7172,b2208125,9f2d5bf6,f9cb903e,bd4d2f66,b8642169,e2319f54,348e4f3f,e15d1f06,afa41255,ad62ceff,a768bdb8,48841875)
+,S(37d6087b,91a64ed2,8341854e,3a2b9ac4,4310785e,77e32e2a,f13405f3,76dc4d83,35a23917,e068bccb,a823092f,32e6fcdd,a3ac9f09,2c251b1f,9bdb9971,3df25003)
+,S(d748a96d,c79f1be0,6b43691c,bcf84b4f,e000d2ce,8294cfd8,391dcb92,10f4fab2,75b4ade0,65da902e,ce57e5c0,4b817228,975c0927,aafb76c8,223c4da6,f05bf51c)
+,S(d05d2a25,eb5084ff,262361ea,33b6fb97,9492414e,c255fa8f,a0233d06,e42cc30c,14bbbeee,cecdc8f3,85b51429,8aa03d9,ba57a198,5ba98f4e,75efab60,69a6f2d2)
+,S(69ba995b,d137edbe,5aff3906,764eca9c,b4684bf5,e8a8c302,78c89d97,483ff793,2b1cf451,b6226596,9833e864,91c5db95,a79ad96c,701580b2,46de1936,5bb63e32)
+,S(7f01e9a1,5d0ecf28,fde0342f,f506104b,3a50aff2,f1ec997d,9a82ff71,54419461,1c3c9594,a6b8d375,361e25d1,fedcab63,d2704065,a83470e5,e03dcc43,ad12dc68)
+,S(719232fd,193b9041,fd201bc4,7184e4cc,f2413d03,f0f8619d,813a409e,56e48cc6,161fc718,7dccb053,5337ff60,9eae05ab,12fb55a0,65f82d1e,68b19d3c,ae29a953)
+,S(15b84120,155f7310,3386009a,57bd28bf,9a63bcfa,46c8bd08,2f53dc86,76e78c27,47dd637e,c9017e2f,e9804e0c,840aca4f,188171a0,ea9fb605,1402c503,31737816)
+,S(ff429d97,bd380047,7db52ed4,eba69914,4a95ce2,7414da2c,74c074,bbfec567,7b3a6fbd,6e635bab,34973f62,4df77c03,6708c00a,cbcb8f25,69a5aa01,d57b3048)
+,S(ccd705b,16be74c,cf1f476d,12c77e81,37917404,b2611ed8,858b1e55,d50a6ee3,8741ade7,5cc7b252,4dd55e17,897f78d6,946cb4c,31ad9f1f,737affc3,40e87c01)
+,S(65b61a5e,24b3c57f,91678e81,8300ecaa,94e4b406,8d499534,d54c37d5,bb65b27,90d75e28,aab97b82,f1b86fda,2ae0851e,f65ac4c7,a5c664fd,79c16a76,75ed0c40)
+,S(671529df,8f4073d9,43f82bdd,758fb8e5,4ffe0487,c1a38cf1,73c1419f,7ba06ef0,c46d9f2d,1f23349a,dd1121e1,d51ebe4,454fd141,c7076950,4d854cfd,14fede59)
+,S(2af8a76,e7a1697,7af8e70,30bbd2c0,73da3fdd,4c6735b6,8e823cff,901b0440,55565be7,9ada7153,c7165976,91ee33cd,7c34f5ad,d65f543f,72ffd026,26c3c1cb)
+,S(acd81d6f,c5ffbb87,4fcb3b1f,b7cc730a,4def3fd5,ef59fc4,2fb9472a,6f575707,8e319a8e,c8b8ea9e,11ef47eb,5071b696,b87c0ec9,63e851cc,e0929646,1d181a3)
+,S(ab77e7d5,3ab9e8bc,2052d0bb,360aa7f2,ae062ca9,9b91441b,d60ce8db,80ffb912,5f92b6d9,cb0ab95b,9eb992e5,e1d70412,aca90998,b5d6ed8f,dfa4c752,2df96b5a)
+,S(798b8195,1a6a8c7e,f8beda09,b06a2303,1d7efaf3,7b663265,e0188ab3,78124046,9592da1b,baea430,3644a7e5,4e67476f,d91382b5,f1181de7,a1bf9d44,e02b1bf6)
+,S(f2486aae,c3be77d,8dddea22,488aeb4c,9dbff93a,24ff6f29,ed6d528b,9777b096,8e2b2d50,fe75c847,7c50327f,e36afb0b,d8409b62,8d83a8cc,41325aa8,4829126b)
+,S(222e3d09,3b8aea8b,e0f64ee3,3aeeee72,d16ca088,264f4333,f9397488,146d2d54,eff500f,bfe6bbc4,1c2dd16e,8a0ebd79,37ba1f78,ccb098a4,351b539d,cacdcaa9)
+,S(6768d3fe,7ca93476,245a18ee,ab53e002,4f99241d,9c321bd0,165b7d04,c121c1c9,402c9d73,c9b99722,2319ff1d,9e1c778,c4dc825,d030a43,823aee8b,90272877)
+,S(6eb6740f,b2f0880c,eff25697,bfd7815d,b0b62884,cf8c8ef2,5137f098,f22dda79,cf7e8531,c12f5713,c302061c,1f42e6ac,79c4b695,e458db68,5209f03f,1485c86f)
+,S(7101f348,4eb05a7e,aa0f385f,367b6a7e,5ede8959,71729ac2,950006aa,965fe51b,8d1fb913,a040fb75,778fff9f,c71afc2c,2605595a,1e44944b,e264f893,10d5c3f3)
+,S(75a9e45c,acc6a25e,3fe4b25f,12030362,a0de03ea,cefba87a,11c8e6d3,e886579,52a85995,e91986d9,26a02cf3,1001fd82,854c49f9,55683f7a,dbe7c02b,cff69c6e)
+,S(31194d92,bad76572,98bffc54,27f99ade,ceac14f7,830ac1b2,954d6730,3737dcbc,99e81c45,f5318eee,9d2449fa,33cc5bc6,8c556ebc,dac2ef19,a2d1ff3f,5fdd2832)
+,S(904fa3fe,76fd6f43,86ac6138,70b4cce3,c1d743c3,8457d23c,522958ac,bd505af,94273262,1adf4633,79e929e4,54c70595,8dae9bfb,3957a304,5c8aae41,a7c1763b)
+,S(1d1861f3,1a828b32,3699aede,f3fa265b,40de142,78a7df26,b5fa93ff,a4a8e0fd,b9657781,f13ffeb2,8e1306e3,b84bb965,3ffc30c2,63a65f61,1995f44d,d899f7dc)
+,S(3bd33def,6de1a5d5,e5ef0289,e8565dce,aac95922,8443c09b,73ce545e,6819ad64,993f0109,eb560bd4,97436627,9a70e9bf,8bc9851d,f52441c2,97535ed5,d4f9c810)
+,S(ca1b7d45,2a39aed2,a7f27b24,8e5a07c7,e4c257eb,7150e61c,7bec7f6c,58958634,ab11fe1b,c0357c37,b7da9804,39fb5481,179c0f7,442af2c7,298facda,3c4afcff)
+,S(273a95ca,dee8386b,53ff29a3,6ce7d9ac,df145f7d,5f928f61,da6d57d1,8671aa58,88a6359d,bb06537d,1a6c6d83,24065284,315a031c,73c53ac2,adb14f95,1a5bbe2b)
+,S(7ea4c0fc,a139bbac,553ad79c,d3921c01,c06923f5,29446279,d0f910f9,ac5561e6,bd049d47,45830e2,f31e7982,2639f198,2eb71c37,71aed93a,54dfa0bb,296dec96)
+,S(71f1801c,a2babe5,d4793240,15ccc684,d3823f68,fcd12ce8,bc49607,9607d336,41ed07d0,8384e54,209b7de3,7e8fe7a6,14430c0e,439dca6c,f5ae6ddb,1ff1b4b1)
+,S(b2838873,652ba1ee,ae8aec51,55541a3d,7000ffd9,6279cf2a,1c90582d,21cd8828,47ff155,73f5e3a5,245faf65,86afcc31,ee4d19f2,a1efc79d,2a0b4811,d27dce5e)
+,S(34ca8da7,22634bc1,6873fbdc,c089224b,d9f8164a,6bf0acb5,b68d898e,b55a3e21,d8afb760,36a9c91c,7769055,d85a3ff7,1f041a90,5192df4b,73f9100c,e5c5d986)
+,S(212cb397,d97341af,ca0cf5b2,ef6d796b,4b76eb87,89c3915a,a0e72337,4b19cc8f,f06e2cec,5f29f06f,97685f50,1126c50d,ff17e273,2f78de64,875c35d6,42f170a1)
+,S(bc0367f6,43bd13dc,32582dfd,e7893f69,d5f29d2f,ce4b42e9,ffa8091c,6ca6228a,9bec6c89,d1251f06,4aff3e44,ab59ac32,c1764179,7b96f73f,527ff429,74556e78)
+,S(8fcb1423,5d8e8894,5ab169bb,4d198e4a,5e489e33,cdeb69d8,dec100f1,a9bd5672,fa1cb396,bab390b2,60302a46,b4408427,c45ae320,5b1d1f5f,e52db790,e7fc057c)
+,S(70ad8505,6675ec20,cbc43e80,11df60f4,d4917e84,cca25044,e15c2fa,e51e64ae,f4a51356,af9fa7c9,a5e62475,df5b713a,b63d68e0,cbef44e8,c004fa61,1d5a800d)
+,S(ada7af47,48074168,86e6df81,f9718c06,bcf6e6d9,846fa880,3ede1f6c,b9695842,f66d51f,50f427d4,dc748bbe,771d952,98369c91,c41dd,575b76db,988a582f)
+,S(f1b87d8d,7323ebb1,1bb8108f,9d34f8e9,bf1e977b,a527c52c,7f045d8b,1102eeee,bd95703,51ebe7a0,9ede5842,47b755b3,7e2aa0e7,7e380b7,9bddf768,b4346556)
+,S(93659d5a,d55264ea,c900c301,cfed7b83,1fbf7c51,766cc833,cc591356,492a0553,b69389e9,646d0165,afa137df,1c1d02a3,519ff65d,8856c89c,cf46de05,c0154beb)
+,S(e9d2bc49,2a9b4ffd,c482f54a,415beeec,409a62e5,d1781f48,b1738f7d,8ed4ffe2,893e4652,2dccbf80,ddde313,f4f25383,8d639208,36150631,60830408,44305df5)
+,S(1424160a,7bf1ad91,18103eea,372da6a5,825e0bc1,a8760744,229e2af7,906cb210,c94da226,96a75d71,1e6f1d0e,10b23e96,4f1519e9,1f63743f,209ef8a1,3996af23)
+,S(7f902712,402e4bd4,aabe434a,eb5fa7e9,8686d058,e6f26300,c458cee8,9c9efd87,bc00460b,2aefb418,b16cdcdd,c88446a7,1b8b018c,15261602,669188ac,62f95fb5)
+,S(d327ce7c,66cb0f53,e86e5f16,c8dc2936,2a133f6a,38147c01,255c61f5,6f72745c,4dc1498a,c3cb39c1,6908b85,b8c52dca,618cc6d4,1c6f95f8,353758a3,86bea436)
+,S(f044eb19,c9d81106,13803b,e8bbfc31,137dffce,547bfd1a,d5396ad,e32db3b3,5ad4428d,9c4c3e66,7f8551ce,ab282cfe,8128a8de,ffccfaf7,c102b9df,7e526f2a)
+,S(7a6c5237,b95d19be,af46a81e,bdd54403,d135bbb7,f3c03d55,f67c5cbc,e18daf4,62a2e8b8,47fceb5c,484fc6e7,4ff68fed,bd492c66,8a70c1d7,cce2922,a204385b)
+,S(59c7fcdc,b069c0b7,bb772afa,f5c20846,ffae949b,47589bb5,80495bc1,b59f82f0,82ec588c,6657566b,71ba4d79,ac8e2c7a,c09b3652,f24d46ec,3358eeba,126c38ad)
+,S(f8cf3c21,1ed4558c,c40d3dc6,dbb85e54,81d99fdb,cdf27ae0,ea01bd4,6b6543d7,bd8049d0,1c3df630,8951f5db,dcce3043,5506a5c3,e0a8bb20,54de9dc,87a9778b)
+,S(3855d764,b2389d4f,1ff47189,33aca82a,4d2dd23f,cfd13764,2782ce71,524504bc,82c4ea25,4af2abd0,2724ec34,6aae3aa3,b14a71ee,df13df95,9446c0bc,759ef72d)
+,S(77644b31,1de4f0d8,d30b1d73,35553dab,6d3e0e6d,af7e6ffa,48cddd1a,52de5431,645e17ce,c0a0735,737730f9,92bb7431,7581c930,695829b4,cdbf5214,f45916b4)
+,S(a4d4af43,afd6afbc,b2a511da,a6537abd,56bfc0cf,76659d34,56530663,d9ca138d,be6c9fd0,dd2df31b,b907f073,7d63df34,88b5db5f,3d5ff747,a25a2beb,73bb09dd)
+,S(417ffa3f,e673a081,f72c3d64,5e64bc61,2da352ca,fb66d1aa,aa8fc060,74a75be5,9ab8be2f,90849474,809472af,d5a7490e,cfd9ca4a,7f738be1,de093e0,68c50151)
+,S(78175154,93115041,6cbd772c,c74212c4,4f19eb04,95e88622,f75ee838,caef73cd,37d4d5c8,ffec3650,26381b91,d7cb18de,fdaf2cb0,a5d94ac2,dd7bf7fd,34d0d3e6)
+,S(365c560c,3acc28ea,f560c66c,7e76625a,3c2ee7a4,8f62ef0f,736253fa,b1b5121,25cbc6fa,96c0f15e,38b03f88,338f8dd1,6990aa15,dcec58d6,4517d37c,5b74868f)
+,S(c945ad25,1010023e,9126b6cb,3a19a925,6c6757fd,d88cf808,a94fa182,8f5bac7c,c9a8e90c,b4ac43bc,ef08ae3d,fc66f6db,99df4abb,2679de5b,174df92a,d654e2bb)
+,S(4aad85ac,45e6d57d,73822387,632863de,ac8c3fb7,b7d3beec,629c0e1e,2c2e0213,38eee8e1,9e81bf64,9641c192,de53a071,29c03689,376f6595,2130b63c,fd6a2708)
+,S(2bc10248,b0f6596,adcf9f66,3f624461,907e37ea,7d35367f,24b9f69a,26a291df,e0ac3ed3,3016b37a,91a780f6,b90b7743,24ad0c30,50812b2f,4f35426f,4311c79)
+,S(cdc05991,abd28f93,e81a2c0,9a04e1fa,eca89400,81fcfcff,eb91c8d3,93ddfde2,dfda4ac4,4458e2b0,3feb9852,d1a8822f,8bf90a4e,bc79ab32,afc9a1b7,580193a5)
+,S(5a24eff0,af2dc429,ff4ea857,f8aab10,31d285ae,9c8beb7d,793bf9d,db46a047,179db914,59739160,897f40dd,b7af0b8,a98b6f61,6aef7327,b53b6005,9c4c8f9a)
+,S(16c1e53f,51603ca9,374aae6b,57d15fdb,e7c1d2b0,b0545467,636fe2ac,7838183a,bf858ef0,56e09bbf,5d8af50c,7e0fdc90,8d1f6c1a,570594b,a5368976,63a183e3)
+,S(792f1eea,71b92f9a,d893a116,ac177801,a2f2405b,1c6846eb,c3a6559,eb01ccf4,bc062f0c,c610ef39,311ecf87,a7866b9c,52c0df0b,be1e0129,3ccd0b7a,2832a79d)
+,S(1b399c40,f057719c,f544dc51,51137fe3,917dabac,f0804dd7,335ba65d,a57378e1,4d6794d3,b6e8a085,41de872c,1dd333a2,bfdd0712,aa846f6d,380a775c,600b425f)
+,S(138b313e,b9c45ced,e0cd8219,b888c51f,9f8cd278,abe16ede,c210bffa,ba238e4f,a199a357,cbc8042f,4b6d4951,2f0acd26,13f0f76d,cd6dbf7f,d9e8723c,e6ac56d6)
+,S(3e06c311,9c765664,d0068b24,cf4ae1a4,8f401811,17c93122,84ffc24d,eb542338,63a65596,e5607f1b,6a9c4596,39a90d06,93b08ab3,2807b696,498e7557,673624f)
+,S(3f32f9b,49c88932,574e5455,c179e9de,80f0f6de,ed1ed25f,8a3de8b4,bbf8bd2e,a2d2bb1a,5fc96f89,ef490257,bf42a9dc,91f49ce,e2b86472,8551fa6b,6a589f17)
+,S(89adc417,ffccc50f,a129602b,f5b1b82a,2c4f5efb,e3382b04,1fe77299,46414ec5,4ce7e75c,291b751d,155c291,5aa619ef,6c3daa28,25da8bc8,e2c7ef54,8c253215)
+,S(f33fbd62,6bec8c9f,6597d486,2f54f65,e9f208fa,7c1d619,a13feaae,5ce4e9b5,c8f0602b,ebb9f152,87fe2eda,3050b032,a6f43c8b,7726825e,df02b424,51593774)
+,S(eccc8ab,7b90e2f7,e45f7703,a0e97406,117fa04f,4512071d,568e3e64,a4a7d6b8,8456f705,a9c4a0d8,f2f3c233,3c8bb367,fcc8a645,f1fc560,48e1699a,58a1b6f4)
+,S(f6962b33,a7ad862e,58181c75,42743ed0,e6e31d5,4df1fdfc,a4e3e95a,157de915,af3d47fb,48515ceb,f9f7e8ad,2a0159aa,55c155a,83359cf2,9ee3202,ea9e6605)
+,S(3f1f3c6,7996fb10,65ed5df0,2095926a,5c45d2f2,38ff59e8,42b9d234,daace24d,d585c9e4,f0a29f0a,28e3c30b,22228dab,73750706,5690811f,1104bd4a,6d0ea28e)
+,S(fcae019,36290e43,d8bf93c1,6ad2cd5e,dc33592d,4081b0e3,4aedd451,6e6e589c,8e98579e,cc42a444,2dc710d8,8cd09996,c8acb958,b9702c24,3a207ba1,471165cc)
+,S(548f27ba,355229d,23b7922b,5fc8efad,abc4247d,baa312c6,d89570ab,151f522c,e5597d8,bbb47cd7,c8cba774,ff37c81e,b7b63c63,39b9600a,cb77f1b8,86ab6fa9)
+,S(e2f64914,e8bf347e,d465cf1e,f086b7be,49797db8,611803ab,6e439bbd,5c146fa0,8e69e76f,7c641e4f,15248257,77aef9b,88b27a94,72d565d1,d2ed7463,fc6ae76e)
+,S(8c532a0,2d970c0f,1d8f9762,2298b40d,c7d362c8,f38cd122,2cdbeaba,2c13db1d,90f8a2e9,428d66d,9e8ffc9f,bcb7606f,568251b6,2dec2768,1b6ffa8,7062bd0e)
+,S(64646efe,e3c51972,f6af7e0c,8052aec4,6fc0ed97,af566f6d,3c323218,62291a23,9e29e150,f6ca370b,36a76ee7,171f2ddb,a10eb88a,986ffc50,d6c8f4f7,287a69fe)
+,S(6e8ba4da,1df8dff7,cbff69a,6ef65c9,329199bf,9a67d1b5,1eb1e1f3,473be659,ae7562c8,959441a7,35ff2188,3e537bd7,eb5a34a2,7e144a06,f674679,815d852a)
+,S(8c21abc8,f7812c0f,6de0d7e1,cadbf1f6,c94c871c,d5b8e9ca,e76c1f33,2b6bcaef,5a7c9cc3,13be03e2,5410ed03,7e0cefe9,5a36d6fe,68ff46b2,663a0ca9,747ed53e)
+,S(ce0e383a,7c487e14,26636ff7,657a28f0,10ce5102,1eb89fea,3426b269,2f9f6353,3f95a465,d43f7804,2804e9da,4c73c8ec,97fcb9f6,fdace280,532c0c0d,6232e03a)
+,S(7e33097f,51477c4f,f4459848,34673fc2,8078b6c7,c01cb700,80a37ee,1d698eb8,c1275bc0,7317c679,d881d274,e49065a2,e282b7e6,970065ad,141c1ca5,ca2d75a7)
+,S(ef4d9cd6,b1487e61,fb31cf42,9eff2731,d686eb66,cfb3f867,9317b0e4,116837a6,c4f6beb4,280ddd5a,24f6461a,6ea1eba2,3bd2ff58,7ff612ec,d118b76a,3d63be1f)
+,S(f3edc145,2ee49324,f7890bcb,9a5f8ba3,ce53f4a2,df0c94b9,92c573b2,f3716290,995446ab,fbc9b27a,8db301f0,87c2ae93,5c390565,491c0dbf,552a9820,d3fb2f2d)
+,S(c1f62251,7398e914,d6134160,318d20c6,87d17427,2bc62c92,bd170ca8,2bcaa975,1c85ae27,36735b76,d5328d59,3292f718,f6d6da52,1c75cab,fcb06720,87769e99)
+,S(a7e81df9,605f0881,d4856153,3e310715,b206c601,9a55b889,7141321e,463dea8e,3ae220fd,1f361be0,f0b70dbb,a7df796a,eb23deb,5c5440ad,aa16fef9,7cae8a4f)
+,S(1b69bf29,8f5df296,7a3ac028,87d4ae5e,f46af5ac,5a8cf326,2fe7282b,e46a536b,c9c624aa,2d99a71,ea375c68,419b38a2,d7e9d7fd,8880dc60,28c24f2e,a846a91f)
+,S(cddfef74,31763b9,8df15cb9,6b3b3127,b31c9987,fd17251d,b56122ed,dbbb44bb,972fef4,2e935aa3,4c679ce2,6a32a38c,225f0867,8f780b65,854459e7,f24869f5)
+,S(32fe1cef,2c8a5163,66b47d30,9ef01e20,ee07f235,e7c0129c,fcb70fff,60e957ff,9e861731,bd376124,8b33babe,c354ea,3d13b2c7,c45b436f,e754edf2,4fb4588e)
+,S(a382fbe9,f4914119,d31d0ccf,6afb61fe,4a759657,26556908,505225b8,79c24b0d,aa300360,39a1bfdc,273e0287,c7c222fe,cdde6318,c9838a55,5136cda8,d2111857)
+,S(b53b5439,9ae330ea,e13e2467,7c0344d,59e305a7,96a228bc,6d6914ec,1a80ef88,99809053,8dfc6c5d,748f43cc,8ba8a8e2,969d8d1c,47551a36,8f30ee30,d5fadc7a)
+,S(621b5253,f11cfec3,fb4bbfed,98b0ad9c,710fe2af,6aedb8d,f521d0da,fb64169a,2a234dc4,8b716af6,22dd025b,63e05c5f,3b93005c,13614bb3,abe0dbe9,260378aa)
+,S(83332b6c,cc9c3c7f,3163f442,80f5758c,1e5979fa,b9a500be,d5b315e0,f9435b04,85360612,258c1f1c,bda41025,c402dd84,60c77df6,8762d2d4,16aa16af,dcd30ea0)
+,S(27c8d8e3,91202622,2f72d926,da01b10e,fd54e21a,7a4746b6,68aa868f,dbf6538a,88768e3f,b8f2484d,56c9fe83,fde0fff7,4d0c0a81,213ac090,e90d2b42,22d6eb91)
+,S(f349c70b,bcd82005,2fd2e05a,c42556ef,6ee768d4,f08b7a91,55d1ebfe,60067e5,6d595c19,4011d050,c7c3c4e9,e7aea90a,93fdc5b0,71d6c9fb,9f621a4e,750c6604)
+,S(4966567a,b2029966,62b1368b,ac3f89e1,a0183b20,173a7156,edb827a7,13b24f90,6ef89436,c2bb3bb0,94910ee7,6c083e35,a097b859,16658947,1f59c33,37e21ab)
+,S(4909501b,491da13f,78645b84,9bc63fea,75611b76,5ff6eb6,9a7414bf,913e0886,2c20c6b6,f2ee070d,c1dd4c95,6822ac5c,38b1acf7,5e093f17,c54b65aa,81014df8)
+,S(1ed2e667,f5a2d140,18cd3ee4,f4163f7,bd5f898e,ee3dda72,bf84e356,10cddb76,bb4970c5,64fa4cea,e204babd,d869e36e,934810ef,68a22794,f9919e3,26db8e7d)
+,S(c47bab41,a0bc37f,addf9c8c,7de86d68,c15d1a0d,85257d57,2a1d60d,4612f17b,e52acb1,36f47de1,1128091a,1a3cc3e0,e84ce767,cf8395cb,b09eea81,a2db09e3)
+,S(e21068c1,4993cfc4,35490b52,5ece7657,f70825f3,dd2138c1,8f5ec6a0,c67a7394,cd610137,d48f8d9b,2bf99755,35fab6fb,65360fc,9db04a12,43027083,c732da)
+,S(635f547d,47a72f5e,b069e144,6508a46,bd6a6f,11eefb87,da07e4f4,3ffaf917,8ea0a9f2,3da273b4,f324c8ed,81cb0bf0,21fecb57,54eaa642,21736923,2be64128)
+,S(24632c0a,8648b4b1,fff2f79a,b3f8e64d,3837b6ae,9329eaa8,48565f02,45bdb47b,9c6d0788,c9e155d3,3c260360,862ab236,177ff875,a3823179,8146e442,f66e0426)
+,S(43748dc3,cfb229d4,8549cc56,ecbcb01b,146541e1,5d2c3b5e,d59fbf7a,6b7bf503,9975a1ed,23a09906,3b87ea7f,2ccd88fc,b20607e,1aded9a9,265f34c1,45fb9c5c)
+,S(8f848323,b8c41d68,31603b40,69be1dda,bb8750d0,11527a58,4bffdca,c3ae3ac0,77a8ac87,128260c2,86f5805a,b17e5a45,be81f83a,2a575c6e,2c88288a,c2d1b37f)
+,S(29ebc368,b54d846d,bb5e8be4,81c19c80,2d8907db,c54412cc,6e2952ba,2948422c,e6b793a2,81d59d90,53aeb2d6,f79cbd1a,426f79a1,6860310a,ec72fe26,37c7e845)
+,S(9414cbc4,ccf4012c,8c0cbe21,eb714953,d84bc602,9f8e4810,5ba79967,23ed345,ad1eeb92,89e4a109,2d132790,ece35cbd,da45bb64,bb6ae72b,39b9eb80,d57fdeee)
+,S(1bd8565b,769d0024,613ab814,90f214c8,bea90a5,db1e75d4,11ec3dc7,288f756e,c050a46c,fc781e91,b79cfcb0,2abdae50,b69c2cd7,dcc56b13,1df2175d,c1d375d8)
+,S(4f7584c,35ad66be,3d409154,eb8ded67,14ed0ae3,288593f2,76cec90b,629cb01,f4be9248,232a120e,11ccf1b3,e9c5a17e,1520fee1,8f1da048,fb01eb3c,17712bb0)
+,S(5b0009de,7e85b317,ab127401,fd2f3ced,cffd1684,c4772b35,2b9c783e,1dd9f13b,f4585704,f531c34e,3377cb7c,e672c78d,cb8839be,ecfe048d,bb412328,b973ba64)
+,S(c66f31c3,79396f01,2ea5fdbc,4222df38,37f85353,3f3ed9c3,ad13bcac,63b32815,7d7b808,4ae5e9cb,c123ca86,1b505242,4113ee84,bbac5ca3,ea1cd3da,6eb22668)
+,S(33097f5d,c8b09934,26ba51b3,ee99e696,3d7ba455,e91a7af1,a57c85e6,5e63abd6,fbd26b3b,200c189d,c8b9e120,61869766,987401ed,66e4ed80,63835922,c270d7c4)
+,S(1ace5245,a3b7ec60,b9a922d5,ffbbe43d,aa71cf0b,84e395f8,c37dd2a9,c85ffff4,72c0ed67,94708f9b,f29c51cb,b6cbb69c,6ad3f4d,10d62987,1c444da1,bb25084f)
+,S(bc197b9e,4cce4c2c,bfb22524,93f9202c,6ed54e32,cd52f512,692a5af3,6b0c4471,d5137663,5182065d,a4d6be56,cec50889,3cad9b95,4d5d17df,adb084fb,dd673f70)
+,S(66997931,334bdbed,174cfa73,3ecad896,13c6f500,b79a7fab,76ad0bc8,dcc7df70,fdbd3301,948e198e,ee3e7d3a,504ac560,ab00afdf,26940331,d49bd2c,6599435a)
+,S(3ba86cdf,b38d82f9,7c20b962,103f79a,5637422f,370b08b3,89083cc3,1a6eb4bf,acec9811,76debb13,9bd7f981,9b476e1b,5377e32a,bdecafee,33dd6ad2,3258dfc8)
+,S(f62432f,9db971d8,4c3acdbd,c2d915d6,6395199f,76e81243,fed930db,ef1603cd,ee89cf3d,177b4cc6,e5856acd,5de8757e,82269f4e,eb11a444,c2e0c797,4a7b5f28)
+,S(84b41bdc,6a6dea46,ad6e650,5b280a1,b6d81250,794e0b1d,688aeea9,c067bbaf,9f78703c,b535b4bb,2b88cdf7,b5f0f0cb,e452fe6e,5cd0f2b2,ab8c2439,9fc00e7c)
+,S(8e2dfea9,3ea64a14,e28f4883,98b8d455,48c52ac,a5399f88,28a42c1a,c89d4c67,fec01549,cda53605,335df10d,d8ed04eb,e09d7474,f69deff7,5935a499,f2781271)
+,S(c3bc6dae,5401ac1d,3fd75e36,4cbc2fa1,dbd2f6a2,40e912f1,18b27759,9b105e0b,170fdcf5,5b739326,fd234506,303700b1,9c5dba48,b6f0cc34,a650c3f,3b63d6b4)
+,S(33093e93,1b1e52e7,ac5a289e,27ff810,c2defced,e935795d,a10ecc89,a3c14691,7fbba584,5bd55ebd,a67dc842,1ae10fb9,2114f0b,d68bc47a,7ee87a7f,70deec38)
+,S(21b35438,b6d1a3ce,6c765e,dc78dd89,3f121132,ecbcc208,a36fe734,d8141ef9,f6115a5,ed237dc8,f61a82b3,66fb508d,e2d516be,3b166a7f,2566bf06,eae300d0)
+,S(ced66583,aa1bed17,30248edf,28e9e4fb,ade70821,1c2e48de,3782fc6,d3892df3,4f43ad36,f29da03b,f0fe634e,3c441c42,c3a81835,2407f1b6,cb38e738,18fdec96)
+,S(c5a74420,f541a8ae,b0673122,29fbccaf,37f6eb7c,ccf2bec0,23a8573b,ee6f71f8,ae634c02,44263d36,c00a6e25,d25fa592,1612a535,4934d709,6c864865,60adb259)
+,S(304a048b,f30f6b4b,2a725521,15b15ea4,8311c51f,c4cd212e,f0a4bac1,48b9de9e,8f935900,3d6ebf0d,129cb5dc,8a953fab,11ceeb85,b2123fec,154b065e,63bb3cd)
+,S(ff96b5ae,7eba0af5,ac9875e,97811e91,6ecb66f1,3bb06519,72ebfbcd,5b9c2048,24af2186,bca71cea,e58a0b1d,b56aed1b,3de89cc8,70fd4e3c,31919e2f,6352a887)
+,S(5909ce1c,df732eed,4147243,76fdb3ce,8b6d38b9,4a0b35d0,50bdce27,b1b701a3,2e44944,665e761,825cf223,90383a3f,7d3731bb,bf7792b0,37fc05e0,b224dfdf)
+,S(ff6b771f,86d66610,6fa032b7,92844548,8ef9974,caf05ad7,cfb6b30e,abd1d527,6abd2a9c,9393e91c,ff77e055,7e9f6a86,9fcd0bae,3544bf50,b25f0427,908ba4b3)
+,S(943ccf04,94dd1fad,1efda48a,12d9ace7,be919685,7e7fc5f4,befd7d23,3a1aa8d9,4f08b4cc,2dd93f8b,3751a23f,ca7e4f10,6014e01c,58791c52,3d01134c,1a0a7bd6)
+,S(a79a7a7,a89e1cdc,908e0968,bf26c341,47a4638b,1d9cb5b3,ee6c49f7,405f172c,cb53d967,14b5be3a,e5497f34,ec0325b3,ebadcb76,b9838cd1,b3cee90f,f3bb8ceb)
+,S(28ff2efc,71176efa,a861667c,d173f78a,4f548b36,aa33db2f,a50c0515,1c7b89dd,475b3707,db4ba15f,1485e165,68d7dbdf,8e67cdb3,37d79988,dc6e2249,d6fe4941)
+,S(85b2c332,16a86885,c0704fa2,55b4ca00,223e897a,f0ae7557,f8687eb3,b1012968,a1f58d45,ba664056,efbcbe7a,f0ef479e,1f2bcbe7,98d055c5,7045d735,d657ea11)
+,S(e9fc2d09,eefb32de,4068e2ad,d7bd3692,7a02b3e0,d354dd47,c2a70c9a,5cbb8778,ee009aa5,1216d068,3ee219b,bf53ccf4,f249d7ec,bd8c9cdf,80d0ec5a,5b65c312)
+,S(da2dcb50,afd510d3,26e38af9,5a22850a,a1cc88d0,620fed65,763042f9,a0005d9e,1eef47b1,c3700963,5e16af23,f1308de9,ae0eab9a,b16c9443,6d501ebe,133eaeab)
+,S(20daa29c,c6b166eb,ce717402,70873566,327891d3,ff7b6f08,b9b7da3c,1eb352e0,2ff6982c,ecd6fa4d,ec1d6692,92c3a326,a30cb526,4dc27a4,299dd3f7,7ae8a3fb)
+,S(e16b08dd,2ae5be13,67547a53,496f9f4e,3aab8440,6cc34bdd,71b2ebf7,53674d9b,b70f724b,d9522b1c,8e43d60d,6357b5ba,48a1afc8,b7136c1d,9317a1d9,1ba06846)
+,S(888a2daf,2d69db34,ff9485e,b06d44,c59670ec,3c68475,80753567,e56b93d3,ddbe4fa7,792e0b82,ac4753f0,5b271aba,8e804384,b7949a9e,9ba79fb6,31d4e3f5)
+,S(747768e2,9090fdd5,2c22e308,131f97b2,ee6d8e0c,bf43d704,d50d60c7,616abd12,eaa75f40,8d1ce0b4,bb52879e,5ee7ff36,27b26645,c8ce3840,99dbac60,9cb61058)
+,S(8569f2ac,1c7d131a,8d337cc8,87c00c1f,80897a58,f9131143,5a17d79c,fd8d6eda,504f0b44,252d06e8,2f8e700a,746a3393,85e43baa,a4e5da8e,dda7ed6d,83eacf71)
+,S(4f15f3f9,a67221dc,4fca1d68,429b874,c4418df8,be480591,e57d6841,e11860c9,982c0d56,1783a9c1,a16bda10,87d29061,3f1154bc,4cc62a82,b795c54,a496b7ed)
+,S(21e51a20,1f226e1e,3ebd56ce,6f7258d6,4e4f9db,aa425943,9e1bf7c0,144a92ce,4c47a801,b6a5a4ad,25c1486f,ec9bd0aa,428f3167,45136359,18d47079,75aac869)
+,S(fac7e42e,8865ec0c,d0b4c4f9,dff6bf8b,e0f28336,395bdf2e,d5e2a118,9c0211a0,36812d9c,8337199e,fb1fece1,1997307a,ce656fb7,3bad65c6,41e6bba2,c4dd695e)
+,S(a147839e,c91bc77e,cc568671,442d29ee,57f0f42d,7b9cb469,91064549,1a26d225,f404350e,bf7267f1,86120257,fa29fc1a,fc0d064e,2f14eeda,b730770a,c85bc5a4)
+,S(d1212cf9,e5086804,44883c1f,4158f3e3,44a7900f,716ade2b,df19e41c,18636b8c,720b851,7b91665,128183a0,f3235c6a,2f9c21c8,e8c6ec0,5553acb0,27fc0964)
+,S(13d5f334,a7ab2578,977c125,1a07d7a,2e4852ca,8927ce7,2dd9fe90,8b948975,973869e2,d1d0abb5,1ce31db1,ae8c3816,ff998753,479fe82a,7d87b6eb,798773ca)
+,S(1f066961,6dae9e8e,76a9bec3,26bc2136,5ec754a5,34c787e6,b9abdfb0,e463507d,da48070e,b4ea111f,881f9fc1,2993a9bf,c6f99974,b3353ce,b5bd1cd1,c75b262d)
+,S(729e187,38681dc3,c4ad9a49,59f975f5,907b15d0,114e029,8d4aad5f,69150269,dbf2ed8e,c60ea01b,6de0022c,8b035a7e,c1901c82,9e8d83f2,4560659f,8d455442)
+,S(e92fcbe9,61353477,4d42435f,de190c26,8e3692ee,c2042fa0,2ee21687,1dfda12a,a75b5c0e,3f5280d6,41e36957,5e6ec5cf,585b1451,1f01da84,fb852cc8,2d64f2ff)
+,S(85c2e61a,c69f8d39,e9c4dfbf,93f6b904,1ad35bcd,7f2b5c1c,789812d4,c8da36df,ca6d9187,694429e1,a5ca50b3,332ab11a,575264db,bf297752,f38fabb3,c0b53f45)
+,S(10d17632,c33cc6b4,f5c2791,b5ae4f00,3adf9958,879c24f,10f147e1,bd1bc05c,e15ee734,f1ddec6f,45dbae00,88e4c5c0,be8464f,31205718,a8b2c929,939a687d)
+,S(a6942345,25938972,f39820bd,27ea0bbc,92511dd6,827476f0,28fec86b,e25d609a,e06b3616,870f73f4,93f6d1b6,6256cb48,af49ee6c,b5296bd,ea73083,4f11d6e9)
+,S(b4a7d8ed,2b3dae3f,43eba052,45b6c4c7,c401a675,6bb0d906,4f66d88,df94d8ac,ffc81c63,1a2cdb5a,fd7def11,9d07af35,74dcb04,e10a5ecf,d2b0a46d,90963456)
+,S(5aebe21d,aebd3c57,285cb660,d9aa55d3,f84fb2ff,584f1266,3031e2ab,dda6fd17,22ea513,6a51b532,d178c40,cd5c8453,8f5994ef,7b35cff6,d9dcd999,daf1abe8)
+,S(ac684664,194388d5,b796d64c,b4563aa6,69388d0d,83861c51,278316e7,2c8c7f87,cb9426d8,2dc90b01,97bf114,3f693e93,4d710988,26586e5f,f8913ab3,9ef41ac1)
+,S(6f94bd49,f89e621,874c58c2,f27ce8a9,76ad2764,1627e835,6b82157c,24955250,d24330ce,4a54dc7c,5c7d9cf6,8f8622f5,e3633a85,8ec0d2ec,d8df3f9,bc7c5614)
+,S(3f96c8c,e149947a,6d9ec5c,9ac5ff44,775e068a,785a2fa9,d0940905,a008f137,a91dcfaf,7111a506,3cf613d4,e360c9fc,9b7d9e40,30e00ce2,b120eacc,805f3f40)
+,S(d805b05c,dfd675d3,b862a4c1,74909974,405a5b61,9b2a73c8,f3470959,779c707d,a68b544c,c7279f2d,e3a2abdb,fbb7fcb1,84366ef1,3cc3a66,b6d8cec8,3c3b6865)
+,S(d2293c0b,d4189cb6,6be0efa7,874abe9b,59142233,6f2f71d4,808be34e,79df0e4,5fbc3248,87c54960,b9bfe70a,5cea3871,7f24f79a,3fe0d313,18cc068f,212682b1)
+,S(931f090b,e22623fe,7ad49d26,e76b3c5d,e3f107fb,556f9657,facad9c,5b209d5f,cc255e79,d2a89899,865daf74,81aea395,848f57c0,1850c144,d5ad1a17,4b1cc087)
+,S(118a6283,6707ff6b,c8ea72f6,285403a4,6e4e690a,db340987,a0359732,39e5ddc9,91f00fe5,e65a9058,36f9d447,d96af84,b6f5a18d,85c127ad,72221980,f7ff818b)
+,S(81096ceb,5b6cb49a,d014ba42,d1d49e1,b811ca2d,2e6614be,1891c6a4,1f6a985a,da051c5,f8f9f3e5,78050a3c,1354b674,3f494860,6b04b8f5,b4dfe970,b7607e5d)
+,S(9a80a438,5ff45ed6,2dd3559e,783eb47c,351b7e43,6ddc468b,9f410989,300cae06,845d1f99,21b69c5b,4628aee8,b0c55398,bee65659,e3e41cad,30e57bf8,b804b6d0)
+,S(6a3168f3,b89955b9,7fac1d59,61e95fea,2143954d,fbbb6090,81c2408f,46747906,5b5f1f88,6778f108,3ae44a3f,82c901b6,12c741e,811d5403,c483c572,8cccc005)
+,S(9a03ab11,78d165ba,23bd4298,58bc8ed7,797710fe,f4f8d8a7,3db0a90f,e1214af8,70888ce7,e61e4bf4,91512f2b,fa556f51,59a5550a,1d50a65c,a652b5bc,89e85665)
+,S(8c90c18d,78b8d9e1,59a61575,48c14971,296c8c41,991dce25,e7878ef6,f4ea2f5d,2a5428cf,de628e51,a1644a5e,5dbb7227,2b97c0f9,b6909a68,2814882,cb1ca074)
+,S(2e9bab7f,3062024d,84f7a5da,a02c9ed0,93327923,339fdd43,b68d6dd3,508a8957,c9af80b7,3f3803c9,f21e21f1,9523b2df,ea7e4f8c,9a376aca,4a147530,d2a43345)
+,S(2734bf2e,718ecfef,64a95e7c,1fbe6a37,e2129898,343af84d,b5c17671,9a466322,f530098a,9f115f0c,e36a0ce3,4697312c,7d0a1e4b,df8a3ca8,f0a63631,e684216e)
+,S(ab9ecaf9,500e4a4e,6e81b997,579b5214,4af3257b,8c8f40d5,e21c2a51,d56aab58,f7d38746,8e081844,9bd5e9d1,938a8859,d0aaede7,5743dbc3,ff30d51c,3de0f047)
+,S(ae25f546,a4c09ef2,e5a9cd3e,85baa880,292b4d4d,4e8440c0,1696435a,cb1af368,46a2b3b3,7373840f,b739a9f2,2953c6c4,80bd59f2,11013d59,e051055e,f7f3da84)
+,S(54285da6,4ef21cda,f597efaa,884fc00f,4e35abb2,bec04ace,54a83dc1,c12e6142,483beb2,144d7b5b,a47c2dc2,9225dd5c,b962a849,d46ff6e,5220b6c3,20cdbc3d)
+,S(bece8434,4bc231f,60ad542e,d6a7857c,35a627ee,a2914874,c8deb661,37dca65e,a229fb80,2f9e72f,8e477fb8,de081254,fe1c93ad,a4d3b4f8,e9c2f4eb,3e2f6a95)
+,S(3d55747,b148b857,472fe5af,1e820bbf,89994a2d,ae6c326b,26fd9cb4,fb5e81d1,dedeca5a,e86728a4,f635bc4f,1b2b162f,c9ea7dfb,efd5852d,b90001cf,bde465df)
+,S(13c68219,d1633c73,59f6361a,88bf6a72,1846b520,33475715,fbc97dcf,75cde5d4,ce8a3cc2,39fc7f20,96abfe7c,52d79e9f,bddf0ce2,ab2b6e55,935413f9,37f83af4)
+,S(e9e40ae1,a8041a47,274c481a,dab52f18,36690a29,be837433,43650126,d5b0a6ac,c19958b7,9c9839b8,1371f314,749147cd,9a22fa22,a55da9a9,577646f2,38c6bb7f)
+,S(2e3b4553,7460a1a5,f7353a53,78db61c9,13af4371,9a268eea,6321b4c8,a1493068,f7ba5e56,104966c8,4959d3e2,290e5501,5ccf5cf2,b6fb5bb6,e0452c5d,cba54dcf)
+,S(9855bc82,b9214b00,67eaa40e,bf670dce,6a59f3dc,4cca491e,db1f0f48,b4c62b8,a7d93f6e,3be6c73c,e9e37d6b,5b071603,87184e21,38478009,8d4c1c80,ccfcf435)
+,S(37f820a9,b9342913,6d44bee2,69cf27df,67486bc5,233b8866,982f8476,15253979,fdcaea9d,aa629d37,7f345a5a,37c566a5,50dd893b,9d7ba88b,2a568a28,7870ca15)
+,S(e82d2c98,a92a3b0c,690f6ba2,8070c59e,3e0cd0a2,a384d3b0,3cba9d1f,ded41a98,31e73a32,32d85b36,14833d34,4c7d502d,d09d7ecd,614b060,95c86be0,c8501460)
+,S(bd492fc3,6dd4c906,6a071182,7eaece3b,ad46901e,b400bf3a,24b93799,9a923419,caada3c5,1e1fd5a4,6676dbd0,a7fd4049,8b93da93,bcd25af5,fdc6a0c9,1dd7798)
+,S(6c8b46da,42d1ec4f,3ca2c4dc,15a69c80,cd8f0d99,7bdf3964,1cded32b,8629577a,d3ad4f62,729e42e0,f72ef596,5bcbc239,cbeb988e,e62b30a9,7f124004,c718c956)
+,S(78b1e9e6,799bd3dd,854a25d3,4d356b4f,effee71a,ad0c8f05,ea9ebcc0,f8f5dd62,31503ed6,a26788dc,c07d7005,7a300665,d726ce2b,702e65c1,dd25f892,3931145d)
+,S(f2ed02a6,63c5523e,3c68cda6,bfa4ab6b,cb53fa5c,15f0375,c8974eea,5aebdccf,3bde5c3,afdc0320,e3b92241,3220ad32,937720a8,d1477b67,773e725a,3cf36382)
+,S(7e43f643,a45800bf,7e54d83,5ff6ba20,f67ab101,5d1aaa60,cde0967d,42caffd3,1f456eda,f473399,b57fbb37,807b5269,58600d12,b556879a,76e21459,5798d68a)
+,S(df15e177,5eb73697,aa4c0a62,4b4d2ce9,7ccde2ca,66555d07,6430b656,61319be8,496cdc,f1543818,c2173dfb,8a60ee2d,8397cca,b16e4e53,b35079cf,b27311ad)
+,S(edf1d706,295bb20,12dc1648,7940e84b,6707a3fb,91a14fce,ef37f669,c782e2ae,e3a0f2f6,fcd76c97,b20b2dd6,8e888eaf,9ed8f598,f08e4d7d,239a8964,fe019a2e)
+,S(c15022b2,6b15821f,3be3c313,73d0464d,fd92cecd,6ba87c2d,9b18fb5c,16f8f6c0,78cd2370,d94e2842,e07961e6,92e9fa04,65d57f25,a80feda9,327581bd,ce136c2e)
+,S(bd4df6b,b6ae15e0,109886a2,8a8f8c90,c6cc2bcb,b52dd105,e277da7e,c76001d9,499659b2,b0b4cb96,5b8e5029,96ced2e3,a6f6fadc,da01b875,72f8727d,8ef1446f)
+,S(dfcec232,873894ce,525f9b4f,162f180e,1e2d6eb4,c846bed4,b2109700,8fbc0b76,afbc761b,f4c88e71,9c318f05,9a10ab3c,5a477ec5,33243b95,3f8ef006,69b4f92e)
+,S(b0076c4d,e3c94fae,23659b00,5b8b41fc,b8473935,764e48e1,a9eb1fef,f5c94e54,e1eb3255,3c55a687,6f42ee5e,44830a09,fe17fda1,b84e8551,f3ea2308,f9c7d4f)
+,S(9a1fe9c,17c4255c,c11e9fe3,3d66787a,fe9ebb0,99be88be,94b4c3f0,da2d0c11,e6aef709,99a8e739,6e23e1aa,c7ad1cab,25f6fd6e,62df02b0,96af568d,e88e8379)
+,S(1d89a934,126bbc15,d9b99b88,b6c65106,e1d8b16e,799630f2,2576e9e4,15212899,b7e32256,92db0722,e9a79ef,7d95c509,37d64644,ed36cfd7,56780d59,a6f8f4eb)
+,S(c60f5c68,b67b3796,3c462d4f,7530edfa,34546956,21bc80a6,ac2be433,700c7fa4,88f8b071,97fff0e3,a19b5a67,60dc92d3,b5507b53,5cec02c6,53f75a60,bf8a7e08)
+,S(52cd2b6f,d9b2699,1b76499a,d301be43,6205761c,f768eec9,e6b7d6c2,52d9d949,d127cc66,1fa33508,a0d11a3e,ac782b26,26356382,f547e4aa,13802138,30ec835)
+,S(1e44499e,a639835f,f384f107,fd16bb19,c21fbea5,cf4e3be9,20a34024,6d05dda9,41c6a8e9,a9042f9,950d12db,74fd0f21,8f8adf23,e961488d,27412c2,f2d1f53)
+,S(139144f0,a56394ba,d1e53bae,360136eb,984ecc56,56a05cb1,c6727543,fc6861de,70394737,ff37e9b2,1bf174ab,6c042bb8,964f3d01,6ea1edc1,25ed3b4,2ed0742a)
+,S(934ca02a,2454df18,61fcb954,6634e685,34fe75c8,b6db6eb7,5a2a74f8,654a2280,779e9784,266cfca0,b83caee,74fd24f1,6865ce3a,6be78be4,375fa15c,db195761)
+,S(a64f047d,9e1c2459,77da8c32,9d35ecd4,af913baa,2d4b679a,7acd326d,886a3be6,e11e830f,f3b4ed6d,102145e3,b24759de,3210f309,8ec57581,e6014818,79112b2b)
+,S(e1c688bd,cd629088,8d8820cc,df15fe8f,cfcf45c4,b8bd434e,2a15428e,818757e1,bc10c6e1,71e7c8e0,13b8e00,e77bb745,a34e7d1a,15267600,d130f6f2,18c77f7d)
+,S(b1a30c95,123170f2,d9456de6,827afcc9,ba2bded,d955354,c6deeaac,68137358,9c76a0ab,c16c1caf,d3844346,9040373e,a678797e,dfa1b298,5a17d410,b04071f5)
+,S(24cc27b5,fbb0291c,3468ba23,58f5e253,4c7cf99f,699af4d0,d6892bea,e6166e85,eaf369af,2516ba42,673c52e3,ff0768fe,d51aabce,2312b8dd,d7aa1ed8,cf9f71d5)
+,S(8bb4017a,6166d1e2,f7fe8921,cbd31cee,bacab577,84da8a92,217aab2d,948f6a57,c899740e,6c476986,356e34fc,7182996d,a09cad72,93d78c8a,5c30d56b,88dc331)
+,S(55d8b7dd,d82fdd96,e0ec17dc,20b303fd,e6dafef5,a527368b,ec99a33,60497f6f,fd624511,78bd66f,4361709e,44e72e9f,f4f29230,d1fff657,bbf84762,b7b8beca)
+,S(82aa2def,5a5531af,519cbfe6,105dbde3,109d4626,ec47a845,5dbe2852,34c94df3,61160bea,9f83a2e5,8c2df91,925fbb25,8d1e60fa,6a147c4,ebc0ee38,cd811511)
+,S(36c1277c,c6df7ff8,47c2cfbf,3cfa9198,804b03b0,c28e1636,ad3438cf,2cf6f7f4,2304fba2,74f81c74,5455d821,ea58e047,a7bb3b60,e32f020,aee5a2a5,16fe4833)
+,S(f376fdcc,5b44cad7,e16c9e86,c00b366,d57b8925,fa49b18c,eb8856a,e0cd9119,2d6acd32,e4dee81f,489e3ef,11acfc8d,c3d0e7ac,bdf5c6ac,74fe7aa0,50a028cb)
+,S(ea4e10dc,5372e9f5,d96e8ecb,907d3a89,97150b6c,39ecfd1c,c7aaacca,5dc5030b,b0896ea3,93b626bf,c2f486d2,9fdeb897,36d6be60,144fc3f9,5206666c,36d96ff5)
+,S(74f392b4,b2664a17,9d3f0a2c,71b144b8,a376ea19,f1a9d91a,d181ca3,a6fdeb08,9bd4db21,428d588f,64ecef67,99b46735,c9523036,406d2636,c6eee083,e09e1fc0)
+,S(3a36c842,59ba7774,a41a17da,f0e4c821,11c13a6b,58b82774,ca6962ef,cd4855eb,6ddad1ad,9ede928c,d65720c7,15ef39e5,f35e46ba,45d8ff48,2f095d2b,e0fa5e3c)
+,S(9d77b2ad,5636a44f,16e73981,46b17ea9,7635ef18,8f32764d,eae50d2a,5c98c019,532dd027,a775861a,b9392b8a,cb2db097,eb5936cd,9d2f7234,f30c371a,22ee3eef)
+,S(2e7402e9,450e2f80,e05168a0,f0c5f1bc,deb6117,ee46ac1b,39aae7e7,bea3c4ab,41e8f36b,5606fe2b,8ed6b3fe,f8821013,cf85721c,f242eb60,34b82afa,cd82fc3b)
+,S(aeb2cb25,4ed0b5bd,81b33d35,e8f00a5c,6a6806f1,5314b320,de0c376e,533ebe6f,6b8116f5,2d7bfa2c,b3028249,fc83f317,5d761c0f,76833d0b,142c4d6a,29b9d59c)
+,S(c86224bd,55d62c97,a00adabe,3a797929,4cca663a,ba3a3655,fbbcc3f4,5cca7895,a319a3b7,104f7935,36693adf,a6009db4,1d857353,fa950c21,844323bb,cd1cc214)
+,S(1d1164cc,2c576a0d,d7b5a28b,cfdce6f4,d53ddde0,534b3a66,aaccfbba,3eefe561,b85890de,aa25d897,fccba694,7c470e45,ec600989,243ea91c,4670a,b44995a7)
+,S(2b54fab4,13b915b5,ce76620a,5c493ccf,5e7f0f41,8bcd793b,92f26118,a440e3c8,8aff8d25,56fead8d,7e9bdfef,bddddf37,7a61ce4b,2effcdb,30ad0016,4f9bf5d1)
+,S(1f1f2a24,a4e72a1f,609428ac,853e46d7,a9718c25,f2df9887,9a3aa60,5729b340,450dca4,f4920bba,bcf94f39,26871032,b631120,4b217170,991df216,2c421cbd)
+,S(412f658e,e6777e4d,24e5682c,5007e057,83fbc559,f22f3200,f185ee52,c8ebd4e5,c2e0b64a,9d9394fe,b930b3d7,afa64cb1,c8399e3,27690e32,887b789b,6571c8f4)
+,S(8495dcb5,567791de,976fec9a,367e250d,95102ef9,f92c11fb,f561f854,4cf4912b,65f809c5,7d3d824e,f5e63f19,153bda4f,542e511f,464e11c5,e2a9c32a,2a152443)
+,S(f8e7bdc0,d841c95e,3a945b8b,c85ca4c7,b4a18a9,7a5646ee,1bb4ff08,5956cfde,cd0ac83,f93a3679,37c9d28c,24b9fc08,6d6660d6,15df5011,1b4edd5d,f0ed6d42)
+,S(8324625a,4e4c1071,24876751,7df28ad4,8c8c5648,76e4a131,64f2f730,62854c94,761b1960,49922825,609c7ec3,70626025,de65e2cb,240b8356,1f5cc230,1f9bfaeb)
+,S(8b1c49ff,99f87e22,af4b6bef,d353df1e,16a8e160,3023f2cf,213ed859,13ca04d4,cd4513d1,e178865,2d1cff72,822de250,6abbf975,7e2774c0,2ca1bde3,23ad6c23)
+,S(e2ad61a1,20d24d80,8c830e89,d630b466,59deacf2,87aeb790,bcaacb82,96f4f138,51cd19dc,fc1c4867,daad2940,5acdc7ca,91849769,6003321a,bf5dbc6f,b2186291)
+,S(e8dcd7e,a9a9a6f3,16a6aa91,53105601,e10356ce,7f4793ba,9eae3ad0,34c197a4,c835bad7,91f3aaf5,d32e2a99,e71c4add,95f69892,6a68695c,2e61ca85,38ea6b5e)
+,S(f0b748e3,5875b8ef,361bba69,cfb05c4,d8643f95,9b207556,e46908e9,bcf81233,6a264e51,5d163a7b,678765f6,c29ca61,c1c0aeab,a9ff423e,91e9401b,2dd6e908)
+,S(900de96f,9975a16,766dd305,bffe2423,e6eef8ae,93ebd796,2ce97d53,39af3a87,894ab2ec,d9c058a3,a331bf65,dbe69a49,f33f8e9b,12121439,650aa700,4d164478)
+,S(8cbe7930,d2ea2342,730e306,7e9ecf95,ce7fbda1,e6d34645,a6e214a0,ed88aa53,867b156b,f875a67d,ae27f2c8,e232c934,85092c70,ec071ac9,919ddd85,70186b83)
+,S(a0cbb1c9,5b35d243,945a65c0,fc5706d4,e79237df,c13583e6,9a292fec,9a25e68d,b6d7e9d1,3cd61a45,f81c8a55,40dc06e1,3c6d7024,5e850a40,55ba4eb1,82047e4f)
+,S(148aac72,a3fa8cb5,aa6d3bbe,5e987fc,d8050c3d,63b47f4c,832a4488,262463cf,7f29de49,a6e24485,5aa45f6d,36f2e2bb,72749f91,8258c0b2,92a33322,677e4a61)
+,S(3b9fed07,3a1afd6d,e6ecaf7e,fa20e2e6,c28616fa,25a218ce,fb07cf33,66f3977f,f0a85b3c,5084c964,a1f0c936,e96ad3e3,4fa9e7a1,348ed0fe,ac7003c,12c65fc9)
+,S(7de45ced,5228bfd9,557b443c,30fa431a,7c9cbcea,dfbfe0fe,cc565ac7,ce3537aa,515ddd37,69107033,bcb794f3,ac55062d,78e0118a,60c98fc1,1999cdde,fa2686f0)
+,S(9cc1a35a,534f562,98010274,74f3a857,c17cf99c,eba1d5aa,251e61b2,55913dd2,c092cda8,f30fa4f9,96115da3,7bf8e12f,c653e243,af2bc7cc,c691684c,3e433ae5)
+,S(d82f1968,759b3b9c,c76ad729,828a7283,10fc71fb,22258562,920b690,7ab52ec6,54cd0a05,26983b0c,73808f8c,ae1c9d81,1b372082,dcac3306,c470af50,8818c607)
+,S(16e6a947,3d95a95,c31bffc,c291b60d,1f9c548,85e5a498,24195ead,b87b7586,19e29938,581b6b8c,2e50d365,5a957c04,80ff4c8e,4ed73276,f882c558,dbd8aafd)
+,S(d07e7af3,ee4f24,e46b4670,477c3463,ad57a74e,57a17197,ff098e52,3b5cd237,fff34e0f,43c91656,69b1019b,ef618888,d4d175de,b6f20b1b,c696f24c,135d0e20)
+,S(2bf644e5,6dc027fc,63a118a3,43faa4e9,8ffe42b9,c983014,50a1f4d9,e5665380,bef5c175,77be1fc5,f8f66fb7,a06b55f7,eb84ca5f,66ea4477,c924f925,5a262ec5)
+,S(518f0d37,db1db93,48c80101,442597c6,7a88107e,5e25fa3a,b97ed524,fc5cb045,dca8750e,a4e9ed01,66f113a1,44974250,6eb9f3f4,df8ab741,8dba0397,694d7294)
+,S(bd48eb6,c50774a1,2be9893f,8c21f624,57bf54ba,8799928e,9a9c725d,6f0554c7,200a6da8,cd8f0300,6774bad9,769f738,dd58f350,632742d2,e2cfa787,f570f6e1)
+,S(ccc8d93a,871169e3,69336622,b64fa1c0,800c5b45,e3c0b130,2aa99e34,db1517e2,40ee7e4,d45e6478,efa11f1b,c4548668,88837309,4809f056,11efd6c3,6d01d845)
+,S(86f6392c,75877992,311d2e9a,27be9ea7,27e8d01c,fc27dab,8f4527f1,dbf6bd1a,7ee29611,b647aa2a,3d2b1304,c49ee690,57150518,fd46add3,e7caf34d,10f7922)
+,S(e034f4e5,927b0fa6,c3794105,338751f9,9bb5a381,6da1dc1b,bfc41d83,b7d7fdfd,dc9f02cb,838242e4,13282b05,cbedcab9,e902567b,b279fb6f,f2248e75,41a5f89d)
+,S(8fc36a16,a9dbf00,5ee3a66a,b825510,75eadfef,b86e1062,837b49cc,6ab51045,c7ee2c40,9605981d,217d9957,a004a4be,66a88527,9ec9f74a,70594999,23d200a6)
+,S(d7bb40bc,54077d96,d6489b71,e65dcfe3,997130de,b517d12d,9c10adc8,e73278e0,e2096366,2f64bae4,5aa0706b,d96b5cb6,5897c0be,3a8a9b46,8ce9074a,a68b0a4b)
+,S(d7357685,8054c714,1147d2d6,c265ce40,3c882681,157b07e0,b8be0a88,63bd2ac5,94f8754b,2fc94239,c254099e,9cd5804d,d2ce03a5,380c59c2,4f42ebe5,85a9932b)
+,S(5b6f8aae,d9353ffa,71da7e99,bd3fe165,3e720ffd,657dc2b6,669ae0da,858f8392,4eeafd05,369c6eed,fa6f85ec,34e245f3,e4966840,30253c10,6e74f473,418f9089)
+,S(39444d12,67cc29e4,384b4f4,9c4f4886,ab4076a0,19a0fb39,f7b72c4e,42222000,65c2502a,af90ee2d,8de48adf,35388eb9,329f3057,1b77d0ba,50ea01a1,ca83d771)
+,S(53de00db,f1efb0a3,c159c4a7,dbc9888e,16ebad95,cec2d003,a18488b,1b0752c7,328ecbd9,99475dfa,752d6228,5e7bc51a,87dc6166,4d14a6d3,3a556322,5e2fbda)
+,S(48a3baf,9b4f7213,e280eef0,d5fb6033,194d1bce,eb48d9e3,d4814a4c,bd5ead39,3b4ac9c9,e04a3852,bbc6f7fb,cc94b20f,7e749eed,44a9a9ce,7099a8bb,28334186)
+,S(f00d7630,503c1ced,3c418237,27e22d7,acccf406,fa16eb6e,b524707e,5b3ac541,9a1ddd3f,ec177626,b1254605,df8ed593,c9e2bcff,db7d0404,f47571b7,31ca95b5)
+,S(e1ff1994,3ce7eb59,e570858,2e8c21a0,c4f8eec8,40815ee8,9a482658,8941eaac,528e5572,746e72e6,ce61b53d,78aa57e9,dbf27e3e,bc36c3dd,3b4972,d7353b7e)
+,S(e4f13c20,c48e750e,e15a665,275c27be,23b3aa04,5915ac55,2562bef0,7459bd49,bebc7ece,c6e51f99,a2e6b9d6,a7b1bbb3,63901053,362a9ebc,a2d21cc7,6e87ca30)
+,S(e36e8cf3,824b66e8,7083d371,60cf2719,598c6c04,ac693ea4,d2dd5c83,886f5f20,4ea0e193,8afe57df,3db74910,481a54dc,f5be9fe8,64f249f6,c88d0cbd,a086c60b)
+,S(51e1f319,3286d2fb,29cb4a06,84d7c547,797ff5dc,fde9572a,63dd1e0d,2646365f,ac470e3c,6f30ecc6,31a90d7e,6c4c3d43,b8640ced,b9465cb2,ace2cc87,52370e3a)
+,S(8e82daa9,c40d4e72,605dadd6,45bc26dc,22277f41,56d2a248,29bcf79c,d5a5fae0,7f8155fd,be9057b2,2b191dd7,233e291b,b01b961e,32a124d7,33ad99b8,167c53ee)
+,S(79e56744,273c7aa4,34ffd5e9,525fa788,38bea674,64e2a595,9881b359,3e2c41e3,625089a3,c50defb9,f00ec764,b47122d7,eb786a20,f278bc33,e806e7cb,f385ecab)
+,S(a97e00e2,d19c1957,51deb891,84e24a22,af7fe156,f2f1e068,79ded3f6,62743f79,881d7ebd,8bcb2c49,354726bb,c44ff91e,f3f5835d,ea73b282,944a5097,cd8284a0)
+,S(3bf10546,7bbf5c3,14e1c3fb,40542378,9bc52fbe,8fb38aa8,f4a70727,b338542,e789586c,fad5b7ff,6dc68e5f,ef840e05,9a87ba51,e58462b6,39042c64,24f6367)
+,S(80296c77,58791dff,39b4ee87,ecf3406a,49cce0cf,8437fb2e,1f4880b,55d9cc5d,3b06be11,3c7f781f,ce28753b,708bc514,902e4834,bdb09284,846c4ddb,90152dcb)
+,S(48e2cb7a,a3eedbfd,f6a9cc12,359c4ff1,b7b0fe4e,87e57023,59896506,20ba52fe,dc78417a,fa909bbc,594411ba,87f72ee0,a0a45631,3cff4aac,7ad564b0,9ee8ed1b)
+,S(dc91351f,cb775488,286b482a,a187d79c,31a3db2e,99730b6b,7b4805a9,73403d46,ed720e0d,2d13192e,8c180ecd,5e09fa5f,fc52e35c,4e509b2f,fa93ff96,f7adb1a3)
+,S(5d37c139,48ceb4fa,9cd05b15,1fb344e9,3a2b2653,5b052b9f,1797319,e990a670,f790933c,2590ba48,7a832ad,6b940634,b62e16d2,7c9e748a,1856d53a,1974cb01)
+,S(98bcbab0,f8d69b22,6fd7eece,a848ff4,15c8e325,ad9e8157,708eca17,77070aa2,7671e3b3,db715487,e6affd61,5218a7ef,a08aa949,9bb10206,e2de58d,ea150212)
+,S(60e2c1cb,3de9486e,fa594384,d5903340,12ce308d,2247a18,8fa5c112,3f35b1c5,6de7031b,9767c66f,5c3c11a3,853bf722,4d58d086,b68e08fa,63942f2f,9369d1bb)
+,S(814716c5,aa8256b7,50bf2f70,2e2f9bcd,aaf513bb,329eb467,d873ea72,304885c7,eca644ee,8fa96189,13fba31e,23533de9,eb7efac9,a0fcb58,6300a42d,c7d297ee)
+,S(25789f3f,1db412ef,af60f7b,636686d5,9fb71586,200e8e3b,e6d934fb,72f8de77,e5222798,99d1e21b,5734a6f7,7881a686,863bc03b,8c58cce9,633c8302,2c7de0ac)
+,S(5382f40c,98bff8e5,646a87fd,f3fcb6a6,27f2a91e,780a1527,ef18cdf2,a0f1bdcd,231d01de,e41ca3a1,da068ce1,39d97a16,39c027d8,38c7879d,9a1e85c6,4a32b502)
+,S(448cfd20,9db2fadf,fcaab14d,8f57dd01,67d9ecb3,f18e9dc6,e573238b,a11d1f2b,bad8e2e5,5a4f56c2,435e8d18,14d2824b,2ba1bb67,9520587,5a11c315,9166fea6)
+,S(d917ca4b,fe6335f,5012b69d,5444bbf9,f6c4893d,eb612ab5,667afbe8,2e5653d,3fde9a4b,e6a49756,27950f1f,f17ce5f0,aeabc055,3102c33a,4bb85bae,f32bad17)
+,S(c7ee9f5,17a883ad,733de053,be3ef583,1dd974e6,a4e8570,db35f24e,91ba8f72,8db7738d,26d367bf,657d2a31,c6a08ce2,e06a7e4d,2df39f3a,2bffd062,79bba44)
+,S(83f0a19d,983ed6de,7a2b173,77c843bc,819a77b8,a32acaed,b7085e0,94d9a30b,d2ab3e96,67be4473,d8748b63,6113be60,880acd47,6d574e00,c37f4875,2cafe6a7)
+,S(f3f8aa6a,61687c40,98fb56bd,e74d83dd,59674079,7c52f2e,2b299277,2313989d,3a690c9d,98503a3,2d201ff9,a896365c,caa1b54c,36857a21,ad63994f,41a109fb)
+,S(4c1a11ca,a30bd6c7,d95d6e8b,3ebcb4e7,914fdd40,4384716a,283ee1ff,5032249e,e7e718c9,4653ef40,d214c604,e65339d0,6598f17c,37f82880,9b7e5215,b9424da0)
+,S(2941b952,3419a018,53f3bdb0,420f3182,529ebbc8,5a1c8f6c,1d922c19,3ee5477d,377f226c,29ca66a0,aaa05baa,7f6c1ede,80482b51,8982763,864392dd,3e628413)
+,S(9d04d07,aad49af8,65bb3eb1,8c7078ac,4b5f25ef,e18572c3,3842161d,8591a6a1,f572968d,ec2ca89f,b45ae02d,119644b6,779eb0ca,1d48f724,f8512ba2,2c83cd34)
+,S(4401f767,c3c3a101,b99a983c,9a622824,d660c50,177bfef4,a2646b06,43d26e20,7952faf7,8e1b114e,16429309,1d0669e6,999f8bde,ee980c0b,b7d669de,86d4e342)
+,S(94b6f427,fc4017d3,b328665b,acc863a8,ab8a1c4,7b283fa6,8d7b7f0c,1bbba31f,1336067d,35f0d2d4,6ec8199e,99dd07a9,9cbe7725,a9981868,e09a0217,df40d85a)
+,S(41621ba2,92c79bbd,463b87cd,de75574b,f2fba59f,92025445,7389b4a2,4de7288f,355337d5,b6f30b78,81389951,fe67b943,3bc70a07,b294d11b,717ca2e1,a2cd3188)
+,S(b0838415,6256c1d3,55900dde,6126818b,8a9b27ba,ab14d73f,c33c399e,fda3594e,2aaf9190,55b162e2,91cc5371,b6a4285f,843ef8d1,5069ec7d,c5d68475,c5a954a5)
+,S(cc99a14f,ef418fea,5de9f437,7ccc1426,7d910f13,e8448fb,8ba92746,6c0dc9bd,2e30b64,7c01c12d,d42f164b,ac0c9bf2,22f7b3d9,2cffd7f5,c77aebb7,18536f28)
+,S(8d2bb24a,dbec1858,d565d59c,1d805d8e,7b21d6b5,b967dd50,a2f420dd,5764e37,cdc6d730,e78daeba,712537c7,8a09322,fc371d0d,6a5645ef,e7014bf8,999f712f)
+,S(63cee6de,f18cf4a,e6ca1871,7750e328,dbb94c6f,27422192,3b233a3,e50f7c9b,81230dad,ad2d233a,1b631b8f,7a885828,ce005031,e1365436,7ca34173,1efdfeb8)
+,S(62084e9c,1dc6dd03,9a68d5cb,fba19dda,b2e4d07f,b8f46114,926a59e6,92755a0c,6dbeb4f4,62fb1af0,dc273a,aa827e0a,cc9c7f1a,fbcdf02c,c4bd98b7,5061a26)
+,S(110c0eba,f65b6280,14e368ec,17072acc,3f34a937,7df79238,c2773625,5d8dd827,1a4ba716,6f236258,961d5865,b020b83b,c3c3e74,2dafaba9,649ff85b,2ae75c6d)
+,S(d848a51e,50fb234b,a807306c,fab97405,baa50a5d,23cd12b6,8927c9e6,f1c87e00,9db9be62,88fb00c8,4cae4b1c,c99449ed,51fdb49f,3cb7aadc,16a72b6f,a96a4fd8)
+,S(42311893,a2706ab4,52547f3b,3901b9ee,a8cf2660,581b0023,96bc9a7c,e14c2b5a,750f86db,9ba6222c,199c2a9f,77609a47,d6129a1c,e9ef4d70,daad3d2c,ae4165bc)
+,S(4439c4ee,471adc41,32f45496,77ca1e32,6b252f1e,5f17f741,9fdaec0e,3834d37f,bd75c32c,22c5c3de,62f16ab6,6f86f93b,617c9565,b3859195,81a00ee5,75897e87)
+,S(4dfce3da,b19231da,648b0bbd,8c52fdb6,e02e9e79,9806fbbf,36bacafe,c113b053,de8c5f1f,4b727fba,440a1c3e,147cc1a2,9d647c59,42feb42f,69d45a2a,13042c3a)
+,S(3bba2b2e,e8e72736,f54f9158,281f6c14,9d0ba6f3,ec6d89ef,cddeff9b,8117dc9d,ff087274,77897e56,e5e93f94,7af6ca0f,6f9a2186,a6a60d2b,af690a30,da16ab24)
+,S(a2fede43,37bc6b2,482d92ff,f55ab0c,e239a00f,4fbb0595,27f7d67d,8317deae,2a791508,43beffd7,ef08e195,d0ce022c,f780116,2f1852da,98c3638d,45869ed4)
+,S(221c4e2f,f503eb4c,4a1aa8e6,77370085,b3d64d09,8430a185,2cb1cc3e,304bc0a3,c3c37b1b,f954e79,c124fd70,ad3f8765,a70a7929,4a262de1,99e11dd1,95b7ae41)
+,S(a0c32f80,f7e4ba05,caf945b,49b91306,f909c8bd,559e4bfc,a58ef3c5,14740ed0,d3eb8f01,46ab4700,41de4cfb,dced45c9,966aa1c6,38a42c90,41ba1891,36f9562a)
+,S(762e7a18,b4fe627f,1e1ca7,57740811,bf33395,cc962aa1,dff79be4,18da85c6,a0df0f46,50461c0f,4f8a743c,3455b842,5875f795,4af56b93,dce93234,c4f51ec5)
+,S(2f02d935,cd95caf3,d56cfbe4,4337b1f,78389f34,1146f561,b8d632c4,b93a29f0,173470d8,23f190b4,f8008872,b23f1a32,9c45441,c12fe87b,e74e927,18f44569)
+,S(c9f877d7,2eb816df,1c5adbd5,9fc98a39,c5877d6e,24ef1612,314e6392,e7eab212,14ce9917,88cf7eec,5a5a52b5,8fcaa9f5,88bb0052,754b3ad1,b0858e4,6a067c4c)
+,S(cc4dff69,18a05cb7,a6f296df,6cbf5d0e,d6dd1c23,ae76c5df,239d2179,a0baa172,1cd438b1,b8471750,261b0650,663b4a56,e4dda0ba,b5390cd5,b7869448,654a4dc6)
+,S(faaac74b,3ed2713a,29c10219,a78acd51,ca015a8a,65646a5b,cccec828,efcbfaa1,adcad43b,dcc2ec0d,bd65c46b,7fe79549,b2e74cc9,13fbcecb,f8bf661a,7d30d934)
+,S(171356c9,30fa9bd0,da1444b7,35be6c0e,8a0025f2,3d1a2480,dd0aefc4,44fdbf46,770e9edc,991efb9d,ab44361e,d2398e54,62e2464d,2ee2a14e,b2e149bb,9c9bce3f)
+,S(933f56a,e0473763,d2d491af,55f9fb19,c055017a,7a81b43,b641007b,e5680214,66059c47,481cdb63,481ea647,f494e541,ad1d70ff,93b1eba9,f85a9cab,a0ea76ad)
+,S(a300f22,b182ad37,d7e44691,bc9c9c9,8a397f76,1ec1acf6,64ac1fe0,5bbb6b34,bd6f2ffc,a90974b9,460de269,4722f215,684abe44,6228b500,7b42bab4,5433593d)
+,S(fc5e57ed,6e901355,f97c1d62,dee4d630,878b79b5,528e3fd6,85d6e3ec,af8fe1ea,1122127a,6c21cbb9,e598b1b5,68507bee,bc7c8549,345c9d49,8c4a9b2b,2f5bab01)
+,S(5a2f40e2,7a64811f,bd4721c1,99019523,899e956,ea340bff,f3f452fb,5231ef3d,6b2bf95d,12578c79,74a06d26,39d71c31,d8c4a53a,6279886c,20a122d3,2093d547)
+,S(59783333,df0b99c5,be76610d,67d7ef62,fb15757d,8dd1f310,6f9179b5,64f2084f,f2a9ea80,dd3d170c,813f4623,ba7583eb,7d309d97,c34f4c4f,a7676694,7e5b7f5a)
+,S(cf61124,6b513fc8,73f72bb3,87a29c2d,a1c8bed7,4ca7ca08,1546db1f,37672d95,d23c3c76,697f0443,9ed1d1a5,661fb0fe,1e182cf4,2e07c787,3eff7abc,2f8c70ee)
+,S(edd14f05,133a1480,e26eb7eb,8063f8eb,1cb871c9,606957ba,ac14b173,2ffe7d52,d682f280,d295d528,4c1b3aa8,445c274e,ee603308,ca4792a,61b5f8d6,34b1b70a)
+,S(f9b0fce9,cdc8af3,8b26e790,2c95926c,33cb8d30,a5de80d1,75fd95c7,fc1a1713,ec7e8df6,f3d163d7,181083cd,c8cf4a89,df958b8b,d6fce2b5,d4752240,f2a3e6ac)
+,S(ae906599,54187f57,89306981,7417c566,d9ea4315,f07094e4,e46bfd24,1746a3b7,2241bdad,c09d3313,e9d006ff,2a04709d,17335573,5be5b10,6775457f,231a129b)
+,S(55f0f800,76492f7b,f5e134cd,e581ae3b,f68fe9f3,44107540,c54b350e,47d956e9,22a0891d,e68488a1,dfbb4b8a,35fe9835,e258dcb5,c70ccb98,2c8a48cb,c33956ff)
+,S(90c8ab06,86fb40e2,31923bb1,df86647c,6cb7e3c4,c451d0c1,b871994c,19663bbb,dc748cd9,570eeb2d,c6fbb2c5,c417979,cb30d718,94c8e463,e3b7be3f,fcc80ab4)
+,S(cbf47c2d,6b21ebb9,fb268e73,56ea849d,3e476d6b,ac09eb60,4bb2e27c,84a4c694,f0288fe6,8042894a,39abf8bb,e5962421,416ed9df,dab081cf,16e86fba,7abb2873)
+,S(7c30885f,c18b68b2,8fff758,2148d738,d8f1bfb2,46543b16,37e9fce9,7d11fe80,3e2d1cb9,31a11c15,b26c6d37,8c886e10,52c06718,a63e621c,7ea51c76,3c013f2f)
+,S(ad614919,d1bcba0,dd2a9da9,de9207db,e137c772,37f333e6,4f11433b,f66d7753,fcaea18b,3512a188,9d604619,2ba759b4,190b72d7,ec53d0b,aad9e01e,d239753d)
+,S(8df7041b,af8c9c15,70ab50a8,1ed335b4,a7bc4171,a3939715,a295ca7c,4e5e29a2,e892e43,82677bdd,f3566b24,c7ddc6dc,e12eabc3,84a19a13,99b64ba4,bdce02e7)
+,S(9f4c1e57,61c8520e,9a751891,ac1bb5f6,217f4e77,7dd88fbf,2a127804,2cfdadd6,fda210ad,c6cee889,c35831e,b3e12c7a,ed4b6963,9f3d4860,9d9b960f,4e7d0f50)
+,S(a436f4dd,23ac70a2,c093bacf,91de3093,174de618,7525947c,2ee8ccab,a515acbf,c0e9d9d9,2a615b9a,9439a450,927bc128,5879e8b3,7d460ec,9fe57eff,7e19afb9)
+,S(a38eed16,699743d9,16d8627c,5039695c,37497c67,c59547d5,67bdfa20,b86f1930,6e3e3ed6,effc3b5a,c9b5b5fe,3f26c91d,3be89bb1,48414c18,bb0e5454,49d9d7fd)
+,S(5f4590d2,d4043a1,faf659e3,36b0f24c,b6f1de5,88e92586,83361eba,e2fbf3d6,250c0a73,42ceec0,3ec1af11,764e7ff6,ccc833b7,240466,15890be0,55197db)
+,S(7565860d,c6ebb900,68ed16ff,8f7282a3,d52beac7,73cebc55,1be51f44,34cf56c0,4b56ecbe,526ed458,5428ad7d,e9d7f3eb,9b84687f,e01e1346,c32461f0,bae24c26)
+,S(3e7c7fce,3a56ef01,cabad50f,2003a5a,77292742,be80b5de,c537b50f,95a9320c,98cd94b7,926e7111,f3778904,599fa9d9,d5dc342c,c495b914,a32d2722,93dbfaf1)
+,S(131eb457,14cecf84,abf1aaf5,ec4c62ab,2ac91a0f,6af57552,2eb07274,b7cda208,a93aed4f,f0512604,46c61393,faec55aa,9b017a13,60d13031,27bfd897,e320839e)
+,S(371bc601,e46963d7,388bff6,9c4b5f42,a98e68e0,2db3e6f1,637dd24e,a2a11ec8,e2fbeef1,932fa241,a9785238,c1b89269,21bbc7f1,3aa6bdd3,7b39d94a,49f84622)
+,S(4770db04,92ca73e8,a0136bc2,2c45185,b4d45934,e4430237,1bcf5045,cae47d6d,e1af748c,25b1d906,ab77e080,d21df4bf,99a92f7b,4b1d790a,f1aeef36,2d41ec22)
+,S(b31a8643,5af5db57,759dbae1,67ce3af5,e8e2ae34,20786fe0,da82812c,9594bfff,3793425e,860dc99a,a96a85a2,585b06a4,f5aaabd0,551fe0cf,3c743be3,c09aa4a2)
+,S(e05eec52,84a2501,fddfe6dd,1619c374,a94121bd,7d1c99bf,9b2e665,bd3631f4,c0115f17,2122f806,99a24ea4,bd742425,4d883d77,6d269ed4,f6cc5626,ffb8e622)
+,S(e55ddc84,ee407d3,45b84305,d97d3f57,e57810ef,bff3b35c,e4d8a325,2973d5c8,71f77bb5,b0fa6141,7e43e425,78ebb13c,abb87a6a,fa0cd1a1,26e8936,427ee677)
+,S(ed7b6ab1,a5c8a9aa,284bf3ea,5501d33e,1aabbe76,f26a9f0e,d46dd23e,decd788f,2280bb54,19d1a620,18454a4b,cdfd82fb,824027d8,c51770d3,77233e01,1d0db63e)
+,S(d4e331fc,3da4d8ae,e13a3329,acd4ee69,ce5cb71e,224f2001,f9606714,8090e79a,895141aa,2f63cd30,9f4a6b42,d6a88112,77821e51,6d08c52,1ae8e158,655e10d6)
+,S(4f0ada0e,a8ec1ffe,6682545a,bd8152c7,2654718e,120d3d54,d648b487,896d4417,a603b9ac,6026ab46,47f5acf5,5a9fbaf7,20aaff54,56c88cd4,dc5ec7f5,935aa591)
+,S(a2d13541,b08eeee2,4f086a9d,20df7528,a884cc05,4106b1b7,543eae3e,fdca84,5ac0b166,294d6b91,527a5249,7fd605ca,4bb67c35,85e002d1,74503b7f,5c803a45)
+,S(4c1d520,14a0459,2b8887fd,afa945ff,cbfc4722,2ce008f,64fe8123,b5b6c8a4,243c4280,17b7918e,57d06597,f348efd4,ebcebff4,3950a608,3bb3e334,50ed738d)
+,S(5f9e5a6,7d13e9b4,cc35b8e6,b2305cb0,fc2f5b7d,ff32ac55,1a5970a9,2bc54390,74808637,96965f7d,bc45833c,e8bedf00,85eb0cb7,26f3276b,30d9543b,7395ff6f)
+,S(d76c6f80,95381b17,80ad28a8,80e29ab4,4447c297,34a4d286,98534bca,8954575,44b6c3f8,6b30e01a,61205178,90e429de,aa8273f1,277bc498,59c87300,a561b27b)
+,S(7577729f,f78775af,703a9eae,b5864a18,6ad19f1d,dac658,e7a8a05b,d9df3344,6b519916,cceaaa53,92d2f822,98e7ecf3,3fa7c5b1,2e705345,32ec3f99,2f0afec9)
+,S(50378f2b,457f04ba,d0b19425,86ada992,78700c8b,36bba67,fca916c5,8edc17db,cbd1451c,26bdcd49,1adbf40b,ac5338cf,26957364,f82fcad0,5fea3c2f,76273fc1)
+,S(3748dc68,64365160,26384ba0,ec078ff2,7606eb44,e3d62b50,b9138be8,cc9ba86c,6c04e414,f624ae9c,ddd005a0,4e01828d,6e7bfb81,d350d271,96583c99,6611d709)
+,S(b23a59be,8ea8d561,fbdeaea4,49eac729,3402f342,d05fd404,7f9c5d1c,57eea53b,bea47c68,f2d35b82,ce3c359c,83f5fa1a,95d40eff,702ed9c4,2fef0e84,406dfb9b)
+,S(e4b451e8,7b42a5be,5c5f443,5701d2bb,9538fc06,925ccb49,ebfd71c1,16a64770,2af84669,9a790749,48efa86b,2b79b985,4cb261a6,8a9081e9,e1467b77,2f156da4)
+,S(864ac6ec,65b8b086,346e671e,8651ddf9,de74a215,64f3da12,42ff7548,96dff165,f35738a7,7ab48555,91ca5103,c8d2bebd,b2cbf902,dfa93188,d68eb600,271a8730)
+,S(b7d04a3d,a6a863d9,b7809022,56643864,fd36c5d7,9a056ac4,ecb27257,f02ecab0,cc40634c,6ba5dc23,e59e4e3b,fe6a07c0,1519abbe,7530f1a1,5ec7ef70,6f83b0c1)
+,S(ddfc1af9,b51eddd8,2020de0c,4a8377cf,bd6e2531,ebc844c,7ca8fca2,714c1a0e,cf77c8c,1742c4e8,b22d9f54,a25daab9,c30f23f4,da3e1ad9,57b9660e,3ffe3951)
+,S(78fcfe69,d5bb91e3,a13de26a,614d8479,e00c828f,8868fc30,ea75b47c,d51fcbe3,9ec67963,6b7053ba,b0cb231a,ac28143a,98021b48,4340f060,66da6e72,47f2d47d)
+,S(dcd918de,16961d71,8222b4f8,19e76ecb,138c9884,7833a8fc,d4204dda,1115863f,abc3d8ba,c8d808cf,ca12318d,d13c2932,3ff7fb0d,813a5ed2,f5e52aba,cb23bb04)
+,S(39ce2ef0,5de08106,93294eef,537bc212,e6f64fa2,96ccd2b2,94a0806c,c6c3177e,25eaf4cb,b7697a3,97a0ca92,6f3a266a,bbb5dda,78943492,39fd29db,78730556)
+,S(495e4db6,43d4e89e,df50e937,e97ac4ba,1464514f,d3a46b5a,bae6a53d,3157a04,7d327e18,b2960d69,ebe4251c,f8c416b4,f84bb81b,a20ce6d4,6e6b1c57,e6ec1701)
+,S(91c17e8c,b6357c0c,1c36dde5,29f9e6f7,a6cb6e97,f5b67dbe,fcaf5b96,637c33c1,2fe52097,fedb8ac2,efde2692,20f586af,f07b76e0,f685ce85,c965ec1b,a54c39ba)
+,S(e3c4f480,3dffed44,6291f11e,cc5c9590,1c28749b,d6ae18d4,c0371221,d5ecfdbc,5a2e7102,571e27ce,974ad71d,acef8b28,4e7fb827,5453e40c,65b2be92,cbdc62d8)
+,S(b3ee17f5,a0e81e7b,48814377,af9dcbb8,59ae7bea,5680f33a,cc15d8ed,75c25073,135a3c0c,9a6d2825,a6035afe,139ede23,b46332d5,5739ecb,6d092e7d,6cbfe86d)
+,S(e4cca844,2bc91bed,342628e1,f6492335,7ca6e8d9,5e5b5732,29866066,eae76b75,dd55a555,39b5670f,f70b42b0,f319ac72,409f74e2,31d9cec,ecc8d90e,516f76b9)
+,S(ab39cfc1,81c96089,998c02a4,64eae7ae,e517e4ea,962b6359,b5ebfbf7,da223b2c,def6dc57,b4dcbbe2,e6dcfec1,8281a189,72ba3b50,f996096,a22e4ea9,77d2fc4)
+,S(22a32663,9e6e0469,fe4cad40,964f081a,677572d1,94b3ae01,f8e45c84,dfab402a,1c9c9d95,bd4e0ef0,5acf6148,44c98fcc,db44cf50,5d42af26,1b855f98,40d2b437)
+,S(2bc788cc,eff94bf0,307c5ead,4fbc4dea,db269da1,7790a903,7c2fcc24,21f9cae9,172f3461,648c5520,44081c43,a8c78c3c,ccecb248,9d60d384,aa703e4e,24bc4b41)
+,S(b930dbd2,a6720601,35a75bb8,8bbe69e8,3872c636,9fbcfe4,c622a300,2052729,9983f03,a872e8b8,2830e7f9,a7438b39,ff3f6836,3334debd,83940ff5,ae06f366)
+,S(b435738a,2aa9ea40,702db448,da6f186f,29bcd03e,872a3466,f33b2e39,7514e3d3,5828d246,2d3c671f,85617e55,bcc34905,1678cb8e,f61c74e,92c54473,9098636b)
+,S(c91f2e81,3acc9baf,2c52df27,d4180dd6,ee1fe67f,9db6223b,532dffb9,3072bd25,1c9c57d6,96c12f13,13afa0c2,b377e1e2,b027350f,bd24f455,69c15f07,85b73c0c)
+,S(bb0946c2,8099ba93,8f28068f,416d9003,bad0d06,f8c7d31d,2b995f00,5c8d36c8,8e3878d9,3b575fe9,78fe1a62,1e978f28,1560421f,7782c164,8673906b,ed76da4a)
+,S(485e3aa1,2e823374,cd506521,a707f367,5298dbf7,cb44f398,c31a06a4,8f085c8d,a12c8af5,7079b2b1,5a339d4c,302fc262,af0153e0,dfb4f878,a4b60017,86ca9a61)
+,S(850f9448,d3282256,940da03f,e8a96eaa,f21d02a,78867db3,e8a9fb9a,713e844d,4551e4fe,3201ba2c,a74df3a,f58a820d,3a67836,a5a8d82,59ab2442,3bfccb7b)
+,S(a74816b3,f66c1fe4,9f8e51b1,8eaf51d9,449cd4c0,54b6dc43,682c853b,be39884,4e7d5fb2,47ed7ea1,45af0cfd,c4cc1059,396626e4,80ec804f,15ecef7e,b372f7fc)
+,S(2af5c56f,c71da217,79abcc1,73412016,e1eb702d,6b98af77,85ead6b7,7b20136d,7f3110a2,c6a82623,b2c49e95,a31a6b8e,783911d9,b532932,1b651541,86b706bd)
+,S(9291ec91,a61adf1e,90d63135,fae60edb,1a313714,97260903,9684fee4,339b5834,d530506b,e8b0dbb3,fc09649f,1832de93,feef42bc,ade2de09,bac1dd17,bdd03884)
+,S(160ad3c3,659a7816,4e9cb47,4e18ff6b,a8581fd1,823ce8e1,14444292,cc605b54,1618464d,5f28d719,a61f939e,b1eb91d9,a59f2c1,818dbb58,b6e1f426,a4d141fe)
+,S(352599bb,8640920c,2d85a5d7,673dad8d,ea4280f8,6358a572,b4071934,60ba9d58,a78a591b,e8064f2b,22d7707a,d3c95cac,aa2ac3d8,638d564a,50f7d1c2,8b538d0c)
+,S(ec20efbd,9a8c634d,92f7a728,1e9e15d5,adb37ce1,2236bf33,4d12c4fb,7b6ba527,acdb29bc,2a5a3115,3919315e,27af9d8a,e8c54792,fd5421e2,a9a57b3b,d51b70d)
+,S(40d1e4da,8bdac6ec,55ee847d,c59781e9,bbd38785,1863c64c,5cfad460,e2dbebc3,c630581c,b7c92e68,a67c7d5b,dba3ec18,4e3755ff,27fb53ac,d3a2655a,316e9ab0)
+,S(fbe12740,2faadf2e,2b1ac1c3,98b66df4,81674c2d,f0ffb512,7dbba444,e7d08c7,d00edcd7,f97914d0,3ac87182,14491698,f3dfee34,e6e8587c,52f2f7b8,b7f412d6)
+,S(d781b5a7,47d191fb,8850fbd8,fb1e123,4070d9d6,2643008b,b0cd930d,c191eb03,a4aa95a2,5c74ab55,f95f2924,519b2911,9762ef30,248db792,d906b18f,346afa11)
+,S(6472fc42,d926bc7c,115045d0,395b5e9,22790c39,ee520529,44a446f0,9ccf02cd,512014,a92593de,e2264e37,633c842b,45d1ab5,e2ad068,63db7894,4605a99d)
+,S(eee180c2,e09601e8,6a517a93,54607a2c,5fa6cf26,4c80ffd2,c5715ed6,395e0c21,c8cba798,221d6fc5,b4fdaff7,f785ca3,49490af1,ae655711,e0649669,7483e7ea)
+,S(900b262d,a172ad41,15bec071,c5763077,9103bed4,db500ab4,fad4b750,45ada2d6,316457f2,bbadfe91,3f418e7f,b3fa34d4,82c4c1d8,516755aa,371423e0,51e2cbaf)
+,S(7e93db87,4e1e5070,772d3371,b9ef29d1,5d5e03b1,e66bce20,420801a2,13a34c9e,cdeaa624,750032a6,f5faa0fe,e00cdc10,63f3ec47,b5bfb56a,bc2c2339,e38465a8)
+,S(461fb424,65f3a55d,e66761b8,44abfe3a,d172877a,3edb1f5,da98c82f,89a379ca,768261fd,ba032718,f5501dad,c05e41c1,1f584aa6,6b8e732b,7f15285b,18e815d9)
+,S(1d9f581a,f0f61a0f,e5d0f0cc,91ba4f93,6de28aa6,5f35059e,997de778,9419e09f,7fe9c98c,7d59dc56,160302e1,89676f54,3f02db1d,622251f8,adf369b4,891bf6cd)
+,S(8cd70b52,904b2aa7,240f7a70,e4efe379,66386dff,3ccdf62b,e2343821,767542c6,b3c3d03f,4c7e0b1f,f08bb2,f72bc6ba,e9e293d,886541f1,ff86bec9,b5ddc2f2)
+,S(a0b547ea,9c08865b,99a5b8b3,800daefd,99097b23,4e442a2e,819aa628,eb4a5261,607ef115,e585100d,c003cb4e,1a27eb60,fd9d1e18,f2d23a22,80cddd89,f2ca2952)
+,S(ea8a60f6,547038e3,683a649c,27e81ab4,192406f5,5fdbd775,78dd6360,4344d289,98afcac0,b05ad5ea,8fcb9f3e,3bc22f16,881b5fcf,5060c691,ac10f746,79822fb0)
+,S(e6051a9d,882f9ef,77d488fe,55bb7829,48bce506,91350755,1a8cd4a,14b0a711,1c9cdabe,9d9eb555,cb9257b8,a60af75c,c1ec0c82,4d933498,ffaa14f6,2e920fce)
+,S(600876c9,c50fd337,6ce5efb,c07e0e5b,165338c5,4f8eaa4b,39a525e9,88765674,401a671e,f52b21f3,83df5da0,aa0b215b,b044202e,606a746a,213796e4,dbea4189)
+,S(3b045b9c,5ef6fdd0,9b3efe12,169e0414,3c0eca56,5b7e0185,274f1e97,f6b2ff40,aa5773ac,b21107c4,2a8085d0,5d6914c3,a135a47b,cb136dfa,d20e6813,62780a28)
+,S(dce98d32,ee0b55e0,4d67807f,ded9cef5,f9504b1d,e552a2dc,643ee7f4,b1f0f1b6,d03ac27c,9e992497,cbb746d6,7acf5427,aba058e2,801df1b8,d435a1de,1f3fb086)
+,S(365b1148,6e8a60fe,8a91c07a,93686787,dd5aea7f,22fa1449,58be984c,e378fd76,2c7f5217,319e5d50,4c5ecbbc,bdbb8ec1,b36e2767,54f405c3,f852b761,ef01c9c0)
+,S(2e37935a,4dc465ed,ee8dc3ca,d4ede356,3c3720e8,57c986cb,b9c73b2e,ab6b5806,bd0873f1,5278f46d,802dc7f9,d7f81a4a,839cb690,10c6d522,c0e3945d,4bce346b)
+,S(49b68e1,93745ad7,b60ddf92,70d71958,81cd8585,6e47b0bb,fbae94,f1647568,ca1d4bf0,13e43ef,53bcb2d0,5f4b85be,1dc82d31,f4a7795,755693c0,72819dc1)
+,S(6df53d6c,c79c5a88,2c2b6f66,e9ede075,6c8cc6ba,3e60620c,b8130fcc,fa744564,48c3d6ed,3b2b7c59,2472f291,41a61495,4597f77c,afb576e1,729804d1,26431344)
+,S(d99f8f06,9104e3b9,26163672,767145a2,2f9467c1,c8e32b8b,d28e170d,bf4865a1,ccfc46b0,55aa5d93,64e67c4e,2c06cb18,c2b43333,e4111479,fd1bfe50,52543d7f)
+,S(77727c17,ebbf8338,ba807572,8558a059,e23af7fd,c68c342a,538ead93,e59930d1,a037dc7e,2cde1802,fe3bc65,75f50ca4,ede75194,133e7083,66de0338,40c629ea)
+,S(1d40ead8,563a4ff7,c14c84cf,ad1339ac,36ae3789,99ec2663,77e0ca2f,6be22604,8497b443,b093917f,ee65a5ac,1c4dfb87,3a6b0c2d,a968d713,a711ec12,20d1face)
+,S(2a39f41,adf5ab33,71a27c20,51840d37,e3226999,17a3d0ef,40590710,406bfae0,cdaf7a8,58e99fb8,23a36b04,8e844c18,8dd1a49e,c70488ed,155f2ac6,905c27c5)
+,S(aaae4b1,d8b08cc4,8971cc92,fd974a21,66f5ea92,b6ce215e,28137088,19c684e0,9237995,c10a348a,84fd5cd5,5151e33,c63739d1,3a425bde,a34d78e9,e3cd8f0c)
+,S(a5b0c042,591a53b6,334939d2,9ac2c9e2,11315a54,831ef440,965fdafc,e6477d40,ac3e7cfd,5d1f0248,b362b206,b3c7dd60,bc9904c8,d2a416d7,e117a5cc,4a62ca6)
+,S(c1b7164,e6166a96,a8f643b4,7f094be4,3c16e3b5,3ebf5a1,2782e41f,27c63f0b,8469161a,4ffaf1ff,5b50ba81,1de3ac79,e34810bf,73ed1207,fcc0f01e,75663a98)
+,S(98fd825,4b7963f0,4d8e0f2c,8eb26dd0,342e605d,8fdf28b4,57b98e14,adca63bc,e297a80d,213f6664,77f9dba6,5cbcb99d,2dc14325,be12098f,22061115,b1a192d6)
+,S(f1f08649,71b6ed49,2d34127d,8c2e6f19,48c464cd,816acdc1,63eb3aad,594c3281,26ae2a0,f9e04fa9,13b8954d,85602e6f,506a0de5,2fdec31a,346338ab,f31f5c)
+,S(ff470cd,c324d2ac,a63441ea,c0506fb5,b63af83a,61a23a91,17240e23,930dd197,e601f66b,b18e77e8,4607a772,a1efa73b,30734b4b,8fd31eba,5a5260d2,5627788f)
+,S(90eabc6d,968aa196,b5808127,baabbaa8,ad0f82b9,332ed6dc,d04442df,bc6c63a6,d6df0f67,ffb23cd7,2dffc4be,44476b2b,2faed3e3,dcdc30f9,4c1fa4ee,bb5038f1)
+,S(e217b126,acc507a1,b41e0826,b300363e,bc0a43b6,feaf3866,ecd4b8bb,cc7e11af,7eb28def,83db33d5,8b8eb733,2b27a386,921e3a5f,b0321ecd,a8d1fc6e,49e98f30)
+,S(2a196fd5,82b85d5e,1772bc21,84d8aad2,b5d008ee,c795628d,20de68a9,fce1d184,994b4657,ee9ee3d4,fdf8dc8c,cad2ff1f,68526c67,89d82230,c3399f6,62201303)
+,S(bc9e3bc8,3a6eca7e,8a9897c8,1118f7be,ca770cbd,7e66c2e6,1321d026,7ade4342,9d7ef7e2,d544a561,ab899291,75f35d24,e2b07661,2f84b0a3,f346542d,714f3f4b)
+,S(ff2813f3,842a9f84,fea9e367,6f12f209,7e76b8ed,e691ccdf,6f6512aa,b2f198b3,206e3bd6,66d0c161,ac6de438,809f485,b8b6682a,f402bf76,18a484a2,c3fe1949)
+,S(6e7599df,2d38d63e,be142321,769d7ca,34a50bbe,4e0adbaf,6c7479b8,d1af05f7,233dcf1d,4b0e4d88,4a9ed56e,b6b4946b,25614345,ecd182cd,5556faa5,e3654c8d)
+,S(1edd9cd5,6c82eb28,14d844d1,a9e5c167,8397662e,b576f9f9,ba250719,33666146,a00f4a85,b2ee83e,949b5cb0,4d16820e,39d48ddc,95dd965f,e24251be,3df43f4c)
+,S(2723de06,1f794cd7,76a4a090,738a81ea,818a2f73,92d7ab07,18d79fb6,407324af,35c7a9be,f9810c50,3c53429e,344ab888,38daad72,77cd0e78,3db1c1fe,c6bbf41f)
+,S(4c4fb244,4cb54def,6d9659ee,b43c13c2,3874ec2b,a7c6b53a,f469ca26,ab9a213d,bbd2eafe,56447a9f,feb9ad15,349b338f,d4a1aed8,5a356472,82751e5,5b8efa3d)
+,S(736359f7,347995a8,8e306977,1fb3fbcd,12847ed2,8e4e612f,25095720,667593e3,23bb37ed,4bce0512,35a215ca,6b8f9868,e303fda4,80d655f9,72c95bf9,12bd3741)
+,S(15cb9594,ee936bd1,4b981394,60879bee,6f33b0f7,c0ccb293,825794d9,85f595be,aaad772a,2ec81ab6,13775e9,edb274ef,e2e133e6,5e58949a,c7f25429,fb1bb152)
+,S(3b5489ab,97e5cf1e,84a90eb8,20b8772a,df574777,a61f0a9b,41e6c567,6be78fa4,145d13c8,e9674a17,ccecad63,f113d64a,d59a1eb,bbb10cf9,e7134cf6,562219be)
+,S(78d1b99a,a6f9d385,b09bec7b,b59ce26b,23323e4c,3a259c56,68417597,a29dd2f5,1c8d11f8,e883b210,cf54369c,e9f6a280,a6b890ce,15b4a0ef,3cd8837b,7e16a122)
+,S(385e4e8c,5ceffbbd,3a813e3f,938912e,d2fd2d18,2be81210,70cd15fb,39661e85,f4a1c414,9f5cfbc5,213ceb21,c1cc08ca,c9b168e2,58cdec70,36e2dacb,ab68069c)
+,S(310f8c70,d8e46c6e,48930df3,c53e9292,a7c87230,292d6b1f,c28d9711,951aec6a,6fe319d3,c92c07b2,56715154,d5d7046f,59d92d5f,6dcedefd,b0386f5c,3417146f)
+,S(764f3c30,23d1d50a,e170b80d,48d58923,c1f91a96,42210912,94066585,d7c70bbb,bd92fb1a,becdb4a0,ed941146,878c99cf,c3ee9eb8,c8f2b8e4,b547cb40,e3dca724)
+,S(3d5d23ba,b357a37f,1bd3c86f,84010b8a,b37a8075,3c47b1ab,36f7ef72,a3e68126,2bbd1841,bdcf0265,838893c5,f5f9c0dd,7ccbb461,93068e0,8211595d,6b34255b)
+,S(a70431ad,cdfc7b8b,febd2aff,d6759e94,6d4ddd7d,50f50dc0,87e256b8,2a7f8a1e,3ca4362b,9362b2ea,c33d77e8,befeccb8,23163921,86ff5f20,384247f5,9147f593)
+,S(2a388212,2c1b2ecf,3c800432,7c5dd403,2263e9da,245dc697,bf7d63e6,300e8a7d,ac96d188,53b87bf0,3dc5f2fa,fa9b73a9,a339c0d9,a7245175,fd72c822,12f6ff78)
+,S(e99c59a4,ae3022e,b50bc545,f57e3013,56b49bff,33069a9a,b4d17c0a,424b5451,29b24b79,fe55fab7,6c3737b5,61505916,b4fe1a98,20837349,baf445d6,2e9bada0)
+,S(a0a42ed1,bd5ac5ed,f63f1a3c,3c3fe2d3,c0be26d6,b0da384b,f19c034e,83306d4,c39ff3d2,d4442374,7a293e28,8c320ee8,8aad0879,672679e4,e5bcf611,5ca0bbc3)
+,S(b952e5d6,9ba9f063,f1d1670e,1419730f,5cc17e87,b6f0b01,c0b86ebb,c09e0053,c1e8099f,a230b8da,6e71c9b5,bbf250ae,273a4f9a,f53cd0ca,fe8f0c7,2dc46ae0)
+,S(3aee273a,130f5f4e,463892b4,512621c9,be83c18c,655d5a2e,620f83fe,95a4e904,edf475c6,921fb6dc,f2c3c6a0,b93f9470,9237b035,9e8c9131,eb7eeb0f,bf0af7e7)
+,S(96ddcdc,dc65af06,acb10d91,b87827fc,aa2f9e65,d28d0449,65ce255d,ba66ceac,2e6d0368,17fd4024,c830d4fe,310bbc23,9e2bf37e,60203584,215f852e,d100ab39)
+,S(fd50f406,c757ec9d,b10e111c,32941fa1,e0d07ae7,9e3584d5,af45fae4,d30334a3,71b77494,d49c068f,c7db1d36,4f8db288,ed9ccb0e,c6137348,324f4bcf,d53fde6f)
+,S(6f2d8268,11954523,614915c,9568ab9b,bd061112,bca3ba77,d3c64f91,6ba097d1,abe41199,849ca7c4,d317fe72,2a5647a2,97261d68,d025f5af,e880ef78,34787a87)
+,S(d88c0db7,6dffb62a,27683d2c,e832a312,9c5099db,e2623c9d,3f064247,21cc1400,5134f15a,df6d7e92,5d81726d,f08732b6,ba5aa289,431bb4ea,542e6352,8dcec51f)
+,S(a8de9ae4,ddde3f28,ead01363,2202fe4c,b6c0fd4a,a71d5562,d95f557e,747105fe,179e946b,5a71b614,90bc39a5,17dc752a,53682043,6efa907e,383e3da,a3be8803)
+,S(626c6827,f7dc3d40,9daa4811,80e65b0d,799c94ef,e48077ae,6eb250aa,8fcd45ac,3d659db,87cf7b28,32e4a2db,8db88e5e,b30b7ea1,7819c00,fcec5d63,31bf2f32)
+,S(28a3a2c,f00efa47,db4b2ef6,9f56cf02,1666ebef,b5220495,5b5484f4,2ca77d02,8dd00ed,fc9870ed,99ce90fb,927086c7,fc16837,9794db01,f7799b16,8393c82b)
+,S(df0b029f,27c46405,245d0dc2,f178a48e,c3b67275,7fb92bd5,dbb29370,c1545786,f133ed05,c7e159a8,810a5ad4,e1019f15,757b474b,fea1679c,6ccd18a4,2a1099a)
+,S(dc6f57af,9c1e0be5,2d2162a4,e8a6b63a,c549783,4c7c2c8b,421bbc5f,dc1a49ef,6f586aaf,e610fe5c,962ee20d,9b389bab,66fca44a,1c19379e,9e97e104,10f1a0c4)
+,S(db796ea2,e0d2c690,19adcc0f,a81c1d93,8162472e,a0e3eac4,bf13b398,b255cd15,2e60c6a7,32e1fb44,641e0766,2191e28e,79375420,43bdb3e2,9474313c,7d05ac88)
+,S(569b669e,72ea98fd,a5ba3efc,e74f88ce,881fe269,30b063ca,59fe369,35633a2d,badd8eaf,2551f872,5db3f740,6eb5e376,220b6a6f,ff4f8ca2,f76b7755,f8ca0c8c)
+,S(36132420,1f9a33bb,d4b6b6f0,e2d175c6,ec795111,85fd2451,421ac333,78468ae4,f47b56ce,f7bc7366,6eeba135,14756486,62a58e17,d955dee,2821618f,fb3c4314)
+,S(cdeb2037,1e4d2014,918fa243,182db0ff,855a0783,c92fd5b1,b604ed33,494a469c,7d3c7718,6829381d,2fd0098b,c84ee506,970a7ed5,5518b393,a83c6f79,d8dfa7d8)
+,S(6035cfa9,d750c5ec,d3b721,ade88fff,ff6c4d74,f8db7755,c8717cfc,171598ef,fe1798da,160b2436,412dcde6,5482d202,9bb129d7,d58c9cb7,49f9fdb6,7dd675a)
+,S(b1f52e97,e49998e4,e0e75b0c,47178f4,bb250b5d,97d92ac1,8dc9e41a,3b79c0f7,d83f3d65,4e4cfd8c,5f24370c,a2651c5f,de484cf8,1024f33d,8087a50a,d3df795f)
+,S(aa799b53,4c73da0,9f011395,dd5f709b,f1a5e056,42536477,d7862b21,6df1b641,3a327047,b5e95b64,593f6887,9f38aa86,dd592007,cbbe7338,a003d2d3,33248646)
+,S(da4a1964,45bdf4fc,479e56b6,6d339a45,262d629b,dd8c63c1,8d35e9bb,a445aa03,7b3a5eda,25cc63a4,66cff29,634d5eca,353376e7,26c2c6d5,63f3f92c,b69cb70d)
+,S(c300b4ad,c2346d0d,433eba80,f0eef071,7e620d46,a07b384c,231e733f,a1b8d656,32083bb9,48d27ac7,f36aa439,a100b95a,f73448da,454de356,6f4a8771,e3cdba42)
+,S(c559a528,67937244,d639bf7b,90df2b2,ed64a907,e20cebe7,6a358b2b,94359f04,9fcac1aa,5c08c983,20d671b5,63f4434a,806d78da,15964474,d2470cd,49bf5977)
+,S(39b10147,a46dbf4,f074bca9,a83c10b1,b0911ceb,d3e795fa,9b96333b,dfe83540,ad35dcc8,c3b22743,4daaa313,cd6334e0,168da417,d162855e,64294196,2d308278)
+,S(39c9cab7,d2dec601,7f840597,19994c9,4129ab2e,a2779d6b,34774a04,2f7d6d42,c73ebd6b,835a8a13,354cdd45,37ddfb3e,72ca72b4,c8049362,3afdce9e,43781845)
+,S(1a625998,8a30b462,adec6097,2e218ec3,f8f81c4d,44131466,fc7b5eee,eec679ed,739beabb,1a97c9b,bf6776e6,2e213bd7,3651a39d,ba042037,bf5f8cdd,334114ab)
+,S(396ed910,cd35c308,d412761e,bf283a98,85f33ecc,3ef643bf,3f422dfa,ea4c4308,721cdda6,a08a614a,4dc48cf8,442a46b1,3945e158,83671b7f,556d19e1,144dfe57)
+,S(a50e06e8,a2e8ccfd,94aee96a,b0bd831c,83e15340,25e3abec,af7b7af3,9b299a47,593205b2,59a18063,fe5a4575,e8e085e1,4521fc1a,3ab5e14f,3fcd64fe,2bbeba52)
+,S(4a9f8023,17b0d1c0,e62c8bcf,7393fa34,dbe15cd6,46e8f4a3,dc3f26b7,11c3e1de,40eff6d,915fff,cdb30c24,434e8928,239867c3,962655ac,2894bea9,f7c6bb71)
+,S(8ce5e20d,9decb7e6,10b18562,e2ffbb88,7f323262,55ed9f05,5d2da2fc,8d608b73,eb69b6c,f363e164,e92371,b592727a,63f024b2,aa7011b5,4f1f698e,1ac720de)
+,S(f32695d7,9b53e9e5,1f2525e2,8a5540ed,84143ed6,3700be0a,36726f9b,b483f24b,e8d36488,eea2055f,6592ca1f,6fe23493,1d81bd16,1c61523e,f1ee1907,c08471c8)
+,S(3826fd86,3bf6592e,5b51ad14,6e02089,d9274881,25d25959,4856de1d,d6c34d07,ea86f1e6,a29035c7,43e82058,a7ff9f82,20da001,a8901e97,26583b1c,ffe4cc83)
+,S(7b1afcd3,2e32b0f5,1ba09868,4ec72762,ae8611a8,98e87ddd,dc6410a,40ccd551,deba6ef7,79e10931,8036ee3,9bb6d0a8,a3ce0eb0,bc5620ef,c70828d3,d2e37884)
+,S(3eb1fdfe,d2c27587,540d39b1,b66a36d1,8dedddcc,7f7f7b63,348460c1,35a91bd4,b8aeaaca,536ae794,619506cc,a812a67a,642c5345,8cfcf7b9,eb898f96,d26b36cb)
+,S(9d61dac8,aae9fc5f,532290cb,683eea2e,b71b4d9e,901b7c45,c214beb5,9b56da8f,2e7caca4,2ea1b22e,7024fc3e,e267ce99,280a8f1e,78a2a271,7938762b,3a446036)
+,S(2db372dc,3167faa8,e8e1e37a,85ed5546,e91a43ef,fddba39b,e38d0eae,3e11c7d8,16ab6f61,bc1abd6a,16e79697,fb59f0e8,84f00534,b7196380,9b06e10b,59707ffe)
+,S(98f7cef9,f7a2b538,538e83cc,9ad3132a,5b03dd67,f7fc4030,2ff023d2,8805dc80,3b40f823,2813e6c6,bd56df89,1e96a175,468bedd3,f9518dd8,d658105f,aeb98943)
+,S(eeab2e6c,c8ab0d24,d5df5852,8a89db42,c48f0861,4d488c7a,363cd195,edb62548,607c41ed,65d3328d,72be2503,f5edf14,523a7f74,402822cc,1709927,c82649da)
+,S(955feeff,b2161c70,3469a9d6,c5fb31b7,b7cb5ed1,ada6b537,6d935705,b3db942a,a9195a48,a561c342,779c984,6a710059,283fcd0a,682cb5a3,fdf48ee4,15c0864b)
+,S(219a4d2d,70d2ee9e,d3c8f541,1cdac36f,4db23bdd,a981a5c9,d44ce5ac,dccd85a7,67441968,43008ec1,71284aef,2c64f7dd,3dbfdda9,5c6c8e4,70a564f5,c4ef53b4)
+,S(4976290d,7794b161,2e2f5cbd,282c1036,d594571,722e28a5,ed542972,f91ddb23,4cfd95f1,60fc5655,2fc8354b,446dc510,23571c24,56f57aec,79004616,ce17ebc4)
+,S(472d53e0,268ead1d,bbbb99ed,599f5676,1866e0b3,c14d4a4b,5c44d722,b072b1c1,e9b9c009,6115d4d4,a8ed42e3,1d967b89,e4dfe82b,ec642db8,e31693ec,c2831232)
+,S(2a6f5b7e,7a4db95c,af875d61,75a6e1b0,3f3462fb,c0dd5d50,da3327b4,70ab18ef,91b247a3,92aadc19,7d9f5b78,f0b013ce,c9f3724e,a2f37347,9ade7e03,8659d506)
+,S(dc1815a3,bf48d81b,b5e5e654,fe0c8c3c,7431a62b,9d1065ba,17df9c45,23146c19,fe20729a,311550f0,e47e2af7,4747effa,d837c5f7,b08c8f36,d0fbdf2f,d594be8f)
+,S(8e7953ec,ad8feeb8,97a95db4,f03ffb98,a8b47ecf,3e68bc4f,1df0b6e6,98397776,5dadf2ef,81b21cc4,26c40a39,51f31462,12f7c6fc,dabb5157,893b1637,c141ac5d)
+,S(a4d91e6b,49d5724b,9e899fe1,c6686c89,faf96a05,6e666a74,72ee44cc,119b41a5,abd68615,e296498,f5abb820,cbdcfc26,fef10b2a,ba72e474,14ae9de1,960a4893)
+,S(b97081a4,f3e426b9,d3a66dd6,8e0e442,754c4922,acae141d,d0294843,6b00eee9,558f6c83,99214bb4,baa9cb64,11550b12,2c8c2f77,8e28a4f1,ea61ed6c,b8f153da)
+,S(6882b6ed,82279bce,70a73c6e,f6412c54,b873a5a6,b634a25e,a8c34210,fb825848,c6fdeee9,c8233e39,2ea79c61,6689e8a3,1e3a3b09,21f2b5ae,d6b9e14b,9ff21b3b)
+,S(9c542731,1c715709,cabbf11f,a4fdeb3d,1a0dba80,ad50d1a4,62c7ee1a,44717fe8,aa041b10,78163458,c446bd40,ca77f760,ef4b6471,c4f2058d,7ea42975,d1f2b045)
+,S(73a14da6,776b5c12,e838779d,e3be58de,4a5ed917,3b195d9,3577330c,780cd32c,c4068ffd,e98ec4d5,a7467bb7,e8bf2c89,ceb58574,cccb3a78,b0ce4a70,7ad2c49c)
+,S(6488a286,27d26c4d,bade9d26,1e6ddb7e,8748d835,d9def8eb,fdc6c576,b6af91b5,27f8b1f0,b0501191,8af0916a,945bb07f,3c7f0695,5ada697,b5c601bd,3d6d8ff3)
+,S(96546e7a,5b544c98,db9ee2ef,47dcfbce,cca1d38e,1978f71b,d8c9d4d0,5151046c,d04fe32f,8fe9ecff,220f07d2,2095c982,3b10f772,b261189e,84160ca7,5f4309d)
+,S(ba046f56,4598b143,a02cdb90,972022ed,e769986c,82d28066,761463ed,8cfecdf8,fc6e23ab,d42457c1,5407d37c,d3d9daa,3e57bc0d,778dd68,53603232,3e27250f)
+,S(39554751,e633ca7d,df6d82ed,86a8204,5e76557f,b13ca7df,310b80af,5ad0e4ec,a456ba84,f040f20e,977df5e9,5faa3f67,cdb2ba3c,2fb9bb4f,89486b02,a06d3b1c)
+,S(c5f550e7,5fef9fd7,d96c924,11046c3d,ba56b8d7,e1b17c,d46a68a4,989c22aa,548582e0,3aeab617,556a987a,cee7d0fb,8d65ea42,dc8f2cc2,173c3636,27ac3fa9)
+,S(2ccc1610,a48d8db3,9a80b2a0,ee063a43,26d4ba75,79b2727e,b999aacd,6e5fa050,de6dd7db,2114002c,8dcb17b,179e5843,fa205d69,4928eb70,a073f97f,f8348c84)
+,S(93b07ce7,3e941c84,1e4089ff,2d8e6464,3ae59cf8,fe6e92c5,add89e10,f7084b3f,a6c0476,c5a7267e,54ec362d,3629a1ae,533efcfe,e18d3634,cb5a80e4,4018fa63)
+,S(453c01f0,55c14679,5e3aeec8,26859b16,b0ec2707,61cbba3e,438c0566,5a91e7e9,f28eaec9,b9d3c8a2,2ef73843,6088425b,e14ac99,e52e73d9,8745bc49,a56766b2)
+,S(3c6df1fd,ac078c28,a0a148fa,d15595b8,c1d09a4c,4a96794,6f8d6465,e80f12f1,4619a84d,4eaa134b,a06a6821,2e7ed292,d443db5c,150b54f,6dfcf267,82a5b58d)
+,S(1b7f6968,39959785,30542989,59020dbf,f12054f9,2705efd6,dcc583,11b98630,279dc63e,e3e8fa8c,fbd731c9,b88ec6f0,67ee9e15,d0c14a37,372d9c20,c645c25)
+,S(e1b7b953,9d49d0b9,9b90a642,74d2276c,6256f2f6,9cd03006,97ad842f,bffccc19,2b23b96f,51dc6569,8504628b,19e81534,f2acfedb,27f93316,fd0dd8d0,d5f9500f)
+,S(404cf0c5,6fbf4233,4bd5f79b,ba97464f,9ce5525f,a56212bf,4bc817c8,af54f911,b5920609,88300588,5c61a6e0,75e3657a,23c04b5,79897c0f,2e22ca64,1f1ef662)
+,S(43f1d986,da626bd8,efee817f,a09a3440,e7819aec,17ea971f,43fe2ec9,caae0c1,c5fa5ace,ce891aa,d2811f51,8175179f,3e93f438,2b3ab583,e51a200b,2a74f9ad)
+,S(a18845c6,b3209951,16a183b8,1b762112,7bbcaae8,b67ee8fc,d23ecaf6,c5b9c1f,980ed5d9,d7e07e6b,2cfc5350,e818671b,8f54e7f1,5cebbb02,dfcc2951,bbef1f44)
+,S(4d9c7eb,af99824,605cc17b,e03c929c,254c38ad,c026d5aa,2a304920,e7ac01ed,c64c5b35,bb0dce53,2273cf00,f3360f74,97065bb9,9fa9b1c9,70d41c19,53e781d3)
+,S(e18d22f2,fbc3db09,bcd31783,3e8aa605,55953ef7,4c64814,edaeadc8,97e7c25d,cc258a81,71152072,24f7989d,fcaa8700,f15b8b2,85700b59,53ef2a22,efc7e07e)
+,S(160575f9,f220904f,8d2ec9a6,c1417e8,35083aa7,9bc37d5a,3c8bdbe5,2a47879d,1e56b4a6,127e978d,41191c60,ad439fed,2c38704b,309d34ce,d655f93,5279a5e5)
+,S(3b651bc7,57b1d626,4d6b7ebd,d3c5355b,4c3c9f6a,a1437e53,f9aa0372,5192d514,977a8774,95990312,ff1d8ec,5dc8a49e,5feb285a,8a1e2e4,19e56186,80231c3f)
+,S(9085bdef,56facc02,76025015,498ab286,a9660e96,1fd6bb0c,d9579a8f,16ba532a,fd05d108,a557559c,5e7f791d,90e80e7b,68364c16,8f6b93b8,c55510f1,7ae9fe89)
+,S(4224306d,f64a3862,fd33aab8,c1f0ace8,67cf1b25,76e1cc21,fef45448,e40569ec,8740b667,5279bc1d,ce887c2d,c59e42e4,63e72395,ff967249,8bd13d58,f60661bc)
+,S(b7376697,4a512e31,a6f806b3,5bc55ee6,e0e2b2c0,ff5a0918,2f83ca35,dc22935c,d350c820,2676fade,ee4152a2,48fd5cbd,890b3e03,9d688462,51c2a082,85420103)
+,S(73ba4f8e,d3b5d4d0,a7c505ab,1c1a7486,bb82e068,cba81574,557424da,4d0eb97a,93af3914,552dc360,549b4a2d,863d3f9,3a58ba9b,72541215,adca4bfe,26188271)
+,S(285a014e,174724d9,8f0576c4,5694b052,ae93540,6bce1bef,524be03,6fd3d8ea,6fdad1d8,d2ce7757,e6ff5213,f91d4db7,9d406765,968ce8ca,b393e7c8,6a9af7dc)
+,S(b0934dd7,27bfb54b,a2a5cea7,c6f8c0ab,84c2fd78,eca0d180,963869de,c28e768f,dcaf0d11,56029f31,4bebbb26,edb09913,484c94f7,d14d71bf,2bc709d8,f0b982c6)
+,S(3b627add,8b69a9dc,b751c8bc,cef15d0a,ffcb49cf,357bb65e,c45c8c0f,5b681561,bda1980,9e380b7,2da13364,9d27cff7,693cd2bb,a77215e1,536296fc,dc46d19d)
+,S(7e48fdec,1f2289df,a052e3f9,a4766daa,e4593876,5c8aa7c9,a62a369,52cb5ac2,e87af87a,ac116885,66e1e10c,5bedb49d,68449b8e,612939ac,61e384b9,bd8cb5f2)
+,S(4031f08a,5de33bba,b6a2c267,feec2e40,d094d890,caa1008b,181ce43e,263ffd9d,cfdc4fd9,9737a5f0,9a789beb,91dfef45,a8f23be3,11b946b5,8a79b7f0,51b0be07)
+,S(ba652b7c,61dddbb5,bf6e656f,4d441cc0,ec00a22c,7b900b1d,d5407ebf,931ed764,87fcb392,d1228156,a330b5d8,d3c67e00,1d207095,9a590088,a3b44d07,29556)
+,S(fb936572,d1017653,ac7dd95d,2d8c30f3,62c967b9,ba0d3b1b,ffdc1ed0,6590e72d,adfa37af,db6b6a31,a779965,9958be2e,94038246,6b4a4587,b0879882,4836d8ed)
+,S(294473cb,5e7c0852,f7c6fdb7,8861129d,b97ff328,19685148,99198870,b03bae7b,bd905536,f991867a,78a09f95,1bd5b4a0,78463e5a,6c767617,246eec38,7d90c86a)
+,S(2fc0f44f,73a633fd,91737ced,1683b74c,7687dc8c,6d3a4c09,44a6c873,c5bc574e,29917cee,ffa063f9,4e949991,2ae373eb,ac572f50,9a451184,15e07354,1d22ad1f)
+,S(811fb251,882c5a7e,f59d34f2,c8ed8a31,8da210dc,83bb8c40,b9ac0251,116d569e,74df6547,2cb55afa,4ee04ad3,f940de6a,d480e407,5c3cc00,ad291918,d8a0c55d)
+,S(45a9e17c,c1d6cf09,1f451894,ad4e7e53,c47996c5,82fdc57b,a9e7e614,b7fc5d07,5169dc4f,2661f5,fb2d1920,89832b7,4e19196d,c37fdbbb,16d1caad,7b069be1)
+,S(d577f7fc,45cda7ad,4743d96a,ab5c7bd4,abd06538,b78c0102,645d09ae,b5588e67,55172b71,7ea257df,ced1db61,88c78cea,765e2c2c,30bfd25e,52107128,303be07a)
+,S(a6429a95,8098aa6e,39b71e08,d4b0cefe,4fb22d8b,777a59c0,650e11b1,9b06e44f,af494e62,5587055d,cac440f5,786240ab,36ab1825,f2c3a7dc,f6aa64b1,947dd2ed)
+,S(f77c304,b89314b4,258b1c80,cf478ee8,50bca37a,63e20679,7396967,a39a743d,c487a176,29d914be,60845213,60f40f19,1c32f414,558e2c72,7e78637f,8dc1c7ee)
+,S(41c6f2f6,15981247,71ff0a82,e1ededea,cd76ea2f,fb2f9f5d,ef766165,96d1c988,58a0f544,146c1a07,5ff9ed4f,f9b687c6,3642770e,45dbf1d3,407b52a9,5accb68)
+,S(c8724ec8,c13d37af,9eaaacb,35765e3f,7ac2d2d7,1fdb5916,cdf66ed3,2eb968d0,70ecf721,42103e6d,e7d4bbf2,42bd9a6e,6ade66ed,a7862989,5ecd255e,44d81221)
+,S(e2888c46,dd58e36,be2204a2,b75fab66,3b139e4a,e070c650,653ba9f3,ff1fbbf2,715910da,e1393b8a,b7d88879,720bd601,bc158498,9522108c,3312b353,2342509e)
+,S(f1f4c384,d72d80b8,6b5999c9,aaa66f99,f56cf736,11ea9ec1,c14ac36f,66d834dd,b5543bc2,480142c8,ebb8527a,3c9aa786,2198388a,696b3c44,835e7375,24cc7e3f)
+,S(487477f5,832fb7db,768d412,6edd7f5a,17aec3a6,3419de73,f61812b4,31940a5b,90322dde,4203fa98,bc44e3dc,32a6d56a,284f556,36db7c54,c5f78d5e,1b2608a7)
+,S(a726963a,583167e2,4b8f957e,b3ee9f5,c55df02,9fe1229b,ff8af037,14ca75af,8fd7a984,d68929c0,81154d15,6b6541ff,4a636925,53a5a32d,99f6516d,c08f7449)
+,S(d4c20db4,cf80eb1c,9d93a231,e699a68c,baa763c2,e2013033,8762ac5b,8b99e97c,ba1c77ba,2555a50c,84aa2071,39190a35,f5abc50e,589287a,426c6f9f,6ceca01f)
+,S(7cf9c53,89ae702b,bedb5a55,ad8d0f36,5159ba1d,ac56fafa,fa59efe2,3a748168,ece3b324,338c7bbc,a2cec347,c31348ef,489bee0a,6ea4296f,6ec38502,b72336b8)
+,S(920108e3,c1ebd4af,3979f9c3,326806f,eec92833,b4dbaf49,6992541b,44b73e55,3e22b133,d8adc483,4f03f348,eba48e65,6cf8f478,524f5395,ba92e200,95f466fc)
+,S(1566af8a,98c48762,9b361337,2ad32a53,fc760538,49566a8a,4feb69c4,26479e90,2848c566,4bd72be4,c797db98,62fe1c7b,da5d3ba,eb3f7926,daba8516,da997796)
+,S(a4db5e71,2eb8ceb,c7d7a704,12b0a8b1,d2f6d9be,271ef044,c0f76abc,af61723c,663e16e0,75a73ddd,f604bc0a,27a9407b,272f5f2a,f2b9f6a5,6958c8ca,c42e8ca4)
+,S(d0c9cf53,8bbdb8f9,625d110,6c79cf1b,33d90e77,60778c13,8493bca7,8d53e5fb,b6ecce0e,8b9fd407,cc0a2125,b8bd30c,9975ad88,7dc1bd9,68379063,8a1d9a60)
+,S(765fba92,480f57bd,70596d67,bcf3a389,4a58d514,54e3a04c,e657ce78,ffd8391f,5cb1dbba,1035350e,5a3b552e,3f41ab4c,50879bbd,5f3ae3db,af6ec902,1e18302f)
+,S(9f9da9e8,e846702b,4aaa7b9b,68b652f8,9bd3f88e,5af4a503,2c51ee6f,8bfb4a5e,5dbd499d,7ecf17b0,eb17320c,a0688aca,1d8da08d,d2c0684d,edfa2d7f,5696a0f6)
+,S(af86c83b,db95894b,72fb1a16,61aef5f0,ad949c9c,b465a5bf,b1192022,13fdd3f4,ec06827d,55410119,603d2b25,cc41c26f,4a7bb9,b1b88e55,123f3c12,d799e117)
+,S(fbb48993,2fccbc8d,772b3fc,c80be33b,64c8e3b2,2ccbb09c,d94fa350,fd587e77,f9cdd24,279333da,b3451abd,634075a6,58598ad4,257bbe04,81111b6c,d8c0b858)
+,S(40ecb1a3,ad97c2af,62b15eca,e2adc9c0,621f36f8,90a9269b,ae6edc1e,7ed60684,ff9ec194,fa3a617d,920e3e2b,32301fb9,9a41f4b3,ed9845f2,88daa005,3558b32e)
+,S(31f892f1,c762b42,fcbd9014,bfe0238f,39873c30,c7d3b691,9736009c,18878f52,d9bd5005,f31f7345,53131066,ef6b92c1,5cd610b8,f7d4fff7,be536734,95718c95)
+,S(ba122529,e9f6051e,2d94d150,c5d7739f,921f8193,8cab68f3,1c696fc8,24886c5c,c33c071f,7e9bd539,1b0577d3,37ac9c20,7c02859c,c396bc20,d9c7249a,856b1ed1)
+,S(35316412,9a26d311,c993ecbc,5b9a0263,ef45d993,d58158c5,30c215f,2924cf03,86a620d9,521623bb,9ce3e2d9,c5b6385b,f92ef06f,91834e3f,6a9c6d35,7a3a9742)
+,S(3024770b,e4134aa6,35ece92c,a4ec7f9c,4a4aa7ac,7851b3eb,f9718a21,52c8e462,1fcfafbd,72147afe,16dc1579,ce7384e4,ab3f8faa,f818d225,bbceb050,ffc8c8ee)
+,S(f5ba313d,a40ee86c,5b6dbf16,9941d8e2,533c1ba6,4dd0871a,672d01c8,6bda6564,10a910d,b9697907,c96e95ec,15557649,8f965282,437f58c7,2944bbad,b800647d)
+,S(685e17e2,972ccd05,34f7f426,b18c9518,e485a23e,132c18eb,b33b59c5,7264e2f1,96545b38,be84aac1,a77a3f47,51156daf,470fd42d,dea0fa0c,b930144e,b9f291c6)
+,S(e01285fd,facc9822,a59e1bca,7e91c07d,fdd481dc,61d268e0,504f65d1,9bf119eb,ae82153a,2479daba,ef83615b,a7202b99,40bf5b5e,41c65063,f77d6e5,9dc39909)
+,S(c61e4586,327710ec,784d6720,93201e4,93798a93,7635f220,b5421cb0,55839601,e461fbf5,aa5b64e7,a1e3e016,3ba555ca,5d42fcf1,7433c26d,cdeb8cb2,746c04ea)
+,S(1c427acb,4e5890b6,e24d8ca2,513b61d9,3106fc34,90029af3,be87d65f,1fd192d4,1d96e025,1518528b,9bb04fa6,ec3430a1,84935ad5,ee8ae3e9,c9cec0c4,36cf29d0)
+,S(5e577bfd,6d51897b,4b6ddb3b,a7d470b8,5a932619,b5982f54,431df6f1,f12fd8e7,c1a17292,9734c19d,3a836e90,8a5a7fd0,123cb044,c7ad1ff9,203d4d79,211c6eb4)
+,S(cc78b333,1f968a40,bafaefc8,dfbcadf2,adc6ae76,6d3ea8a6,8173b40a,28237b30,5b7691b2,a5bc068,ff1ef04b,41238cb4,dfc2ce7c,9436f8aa,14eb0a40,45857d42)
+,S(3855c437,487b44f2,9e5dc288,faf3ecea,c445372a,95adc16a,b1830a4,ec919fb6,df2e1e9a,48cbfa28,54fbcd5b,308bdbd5,ed1949f5,e1a39519,11c287c8,289359d2)
+,S(c05233b4,a83356f,c5ffcf6b,97db3d6c,dc62cb21,b7de7c92,8f158466,b9d16b19,b1bda39,ce78847,3fa0eac6,51e8de54,956616f5,16233275,25ee3bf7,9e54f500)
+,S(6c064d3c,f34226a7,d9a00024,5901f355,b736c1e,6561810b,455e7dec,99dfffb,160d9442,d25ec1a1,f80f8fd2,a1c5c42e,aa544477,28d242e9,925824cd,609eb9a7)
+,S(9658eb89,70bb1aa5,1b61a93a,de6a7d,b3e20772,4789d009,bf37ba9d,8b714cf2,cd4ba4af,f7da8f8b,7821a903,f40d89e0,96be8949,997d5ff7,a58301ea,92c51cc2)
+,S(6e023910,a5546f70,91f2b0c4,c3f996f7,5cf1f969,a71c31b8,7a3e7ea6,4bb4f0c8,f6ed65d7,90ec734d,d9ed8cfc,7d8921b8,7faa9b36,651c3589,99b9addb,34c459c5)
+,S(3a35ac98,e9700499,f903528e,330537f,9262901b,d60c7a14,1e68f899,54c7ff6e,913d9516,da631c30,5394ac0c,9eda3824,1f247ff8,a7644eb6,c4d38da1,972069ed)
+,S(d089fa51,15dfaa45,a8b6def3,b1948be,2317c66f,249763db,7350e57,76af212,4e6ae973,f326fac4,77a5120c,f3ffa113,a18e5dac,4a190f6a,b12fdc83,18a6da9c)
+,S(e733c52f,2aa62ab4,748ea0f2,33d9531c,5b9cd9d5,f790b6ab,45bb2c2,d8cf2ef,701155c9,3c677293,acb23ab2,8d7ff753,36ac4885,70c52d89,fb80ddf1,d582a291)
+,S(4b6f7b7d,c006684f,e64aa6f2,42babf86,1eb4770b,b8195b9b,e8caf763,e7f14c7a,6c58b780,ac757b33,c1805d8,a53a04c9,7bfaea05,d8f21d5a,2b0645eb,2194e00d)
+,S(1b520402,cd1fac0a,c4d7aeb,8c552e73,44ff51c2,3b4778b4,81126e5f,e267f79d,8ee0d00,56649304,a0c4ee94,39add4d8,30b252f1,93d93c1,9e8ec375,37db1a39)
+,S(8936e6d5,d7f1ed85,fc2da4c6,38a885e6,3400cc3f,43d864f5,bf9af2be,b97139b1,29812a20,b4b932a3,770cdc8a,6fd32625,8879f217,a5bd7c47,78d2b041,829b402b)
+,S(6808ae7f,4813554d,aa36c043,a55d9171,aebd396f,5ba1a1ee,c4f11045,c96b518f,6afcae6e,88728ddc,578e85fd,5f41575c,f581b983,7c749c22,31b993a5,9c425810)
+,S(586c6694,44c73f66,1211bba7,601d8009,93e23293,55a9b10f,2367924a,35a2cd1c,74b0901f,f6eba3cb,408f5507,d37cb7c7,873537dd,ef0671c8,862012ac,fe5416c7)
+,S(789c825d,deadf1e0,4c788453,e918541e,b183aa5,99ccc66b,7897be8,1ff89e11,8106aa6f,641bb13c,6be7480b,89f98a9b,e40cc357,ffe9903c,b8f78938,e46cb5ab)
+,S(d7ab80bb,fd26faa6,620d0ddf,97f64bca,e520426e,e1d8e076,acd7cfbe,a9419797,26af9f72,a6d1b103,aef4a85f,5139d14e,6e50a58b,9f32eefb,c7184537,90c5a823)
+,S(18f712d4,4daf1ab8,4612b311,b1ebc418,bddf0f33,ca02b315,4c256d2f,36f67f7f,c40b1950,f92fd4ce,edb3c3f4,34ff7bf8,6b06d8d3,215d3ee9,f2d9bda6,77d25bc)
+,S(8873276d,9f6d188f,78e2a7cb,f998bcc6,fc399d32,21de85b3,eb9e6ea6,c7e5a06e,297e8137,8ee9b9e8,ee820a3a,7e566178,dac97743,c04b6b4e,54a7081,e7c9e1a6)
+,S(101b8101,5bd217eb,c08f57cd,fdf431cc,30fadd66,4df79157,1452ca66,c688e0ad,fa6c1b2f,ad203831,185816d4,a8f8dc9,4c7542b4,6c94dab3,39b73718,5d179e6a)
+,S(77b3c157,76c31460,11e520a8,cb2071fb,abe3b3ca,2984bb6c,d81d4c53,7f42dd57,8d0bceb1,dab601b7,1c084c9b,443ef5ac,40cce5d,14f0c244,92589905,fc4a645a)
+,S(151f2d52,56ac60b6,ff7aca33,8ba66f12,fbe2c189,33c805d3,ecf6a6a0,fddaec7a,d2aacd77,10cd4bf9,917038d6,49e94235,c4833c88,9cd57ea6,74ece9f0,764f62d6)
+,S(dd75cf27,f41e417b,46338dbe,24b46df8,9508811c,111bd1a2,29a3809,171d32c7,e328b855,a3389b80,4ab03c33,cc91d86c,ee22170c,d8fb53dd,46c32224,19b67be5)
+,S(faa1feb,bdd1d9c4,9de366ab,3f661b1e,6a3f6b76,335b428a,494d7eee,791d7a83,df361d4f,8fce02ab,8c248ee5,61e46555,948bb29d,81a569c4,13b5713d,b825d572)
+,S(3cc10dbe,5bc2bb31,fddee65b,66789594,a4cadadf,8c6a7545,671dafed,4d8f8be5,802d45ef,8c66ad6f,e692a3a,9d42c974,7101120a,ea42510d,bc08e657,7039c2df)
+,S(9544e725,325dec1c,914dee7f,752802e1,856cc485,35e3a1e,af576bec,a7b93ba2,cec7dba6,81513c04,ebf39b03,717338cc,aaf137dd,e5087686,aad83115,deeeeb49)
+,S(94a0fbdc,d5d06236,7b17ff8b,4dcdf6c1,54eec66e,2779deac,38be37c,9f83a964,f25f34fd,5ef06c81,b7223e16,9a42e2e3,fea74213,5a2a30e5,76f29ef4,cfefe82a)
+,S(989e29b2,c3fc7e2f,695fbd4b,f217ba43,14f67c3b,9f77633,100e84b3,c6b579c7,608a6d28,cd00297,2b4f3e9,917daaf9,ed003a43,1c22771,17250efd,b621c888)
+,S(c38c5fc4,4295a59d,3b0e979b,5934ac2,49b4bd5c,e94097f1,c81064bf,73494a5,16240bf6,d354b36a,648e471a,e0ebc167,1d1dbc71,7cbeeecb,7600462d,61d1e2fb)
+,S(de9cf667,35c4046c,58b41d8c,5c658efa,7dc656b,7ad877e1,546c138f,fa7a63b,2fc2824f,ba9162e3,e2372927,5448010b,ecc19de7,d9b94cb7,57586de3,506639ac)
+,S(24cfd37,e56708b5,79d84b3,88c33c9f,f1dd9e08,4675a3c4,c8c440c0,f6c06522,1cbcc8ea,9820157,b4b4d289,55ac8672,1aee676a,cdb7df00,7383ac79,c42af897)
+,S(9d6e3108,6ad8b9b6,2f4414a9,5e091e9d,2b275d8f,62641ed7,26421639,e87cc121,b924700a,6792a67d,4dab59ad,5a743cf0,43c46ab4,de751bca,757979b6,ead3abe0)
+,S(52a89ae,28b28395,739c21e5,38ed38df,74aea22d,d2765d38,673be080,8609354d,c183ed57,9b65830b,d37cccd2,76b2f61,469b06d5,987b5708,89c5b1e,d8334e51)
+,S(2ffd3272,491d1807,243f5d31,d727caf5,cda3bf8c,2c172550,46bd3420,da27571d,812e8fbd,6f38b334,a31e48be,6deaef58,599934b5,d3419d52,131cc9a6,535b6ad5)
+,S(5d60c609,4269a43a,35e51b66,db193b16,65df689c,270662f2,eba959c5,9c973fca,f591324f,d1afd619,2b31bb7e,3f40cd40,6d3b9285,969c448a,3aff1f48,850efadc)
+,S(23e0c40a,bfe53353,f4426340,e1c1b560,4c86daf9,85784d0a,e6da6b4b,3d12ff75,e90844b5,fc86092a,91baf68,280ca144,f19d5a79,9bacf827,f9921511,28191d9d)
+,S(945818ab,5d4a1c12,ca6f20d7,7f37da80,50e67d79,30bd2bb1,155885ce,7c6094f6,b5f2c1d0,e2f9ae6d,aa669c96,9ededb60,32ca8163,fafcbb6f,9a11cd56,4a695e03)
+,S(d1f4db7d,2586bf6a,187a469c,a0cd7bcd,5043be5d,6206d24b,c41ecd8f,d8724c8c,64054f82,77c4774b,bd480ce9,b2929c66,b1525eab,1c6f365,a1ca5ace,12206839)
+,S(4f5c4d4f,24586e9c,1a85f2d5,b42a3d11,158b4f2a,5cf75e18,60f7f4ec,ec14a18d,57576e71,6d547960,6953be2b,e7ffbec2,1e48bb9e,970fb350,986b4a31,b0efdbe5)
+,S(c13b605b,dcb31443,d8a3cf5c,5e4f903d,3f8edfc5,1e9a118,c3840cb9,4998150a,8dce2eaf,99f1fbf5,2e62a8ea,948b01c0,6c368e49,f41922b5,2f603cb2,16cb8435)
+,S(1937b32a,b66f254e,4964a5b5,a1ceeb5b,a3df2466,e2669753,39174cd0,2429cbb6,9712b0a0,6f1b075c,bbceabb0,53fffb1b,181e079,813e022b,b5701738,ef2e385)
+,S(e4a5333f,2f1772f3,84ef386,c3be1f58,d757bbdb,7ad2c4d7,47e61b07,419ba2e4,e84f7da7,2ec2e4b9,389b717,8bc15642,132571cc,9bc14c7c,5af14a7a,cb6b6f56)
+,S(2f8a38b0,a3f42a8c,5080a0cf,5cc1085d,d57a8341,ae154dcf,fc7fdb4b,5606cca6,8764c6a5,2c301db6,56408d9c,4eed6294,2fa2a72e,1b1264f1,134f38c6,8e4681c1)
+,S(3d2bdc2,c51c2d77,b6c585b6,3ceab5fe,acd14599,b841870b,8735712a,81a55ff7,33f749ad,bbe263df,a99a808f,f0476e44,92246036,a3e8b5e9,496b8dcd,b6d3e9e0)
+,S(fc87f808,d6764ce3,376b9acf,62bfa3e2,1ecec215,22dbdb3e,6e5f3cc1,efab7d3a,ce75eb03,c1f4f937,70815dd8,750a4ac1,c0343024,ce1bc581,717cb971,2835176a)
+,S(7f81b85c,62dee11e,be8885dc,cc98485,32354952,1c7e6cb4,374270bf,5b1e68d5,b7adef7d,6a84db61,c15ba062,d96cf739,1750aa4a,ed5c97f3,ad70d2a7,6a9c4558)
+,S(d618d43f,7afd3ae5,e8dd8f47,f62ef91e,33cc8f89,3c21688c,8268b903,e1fd5557,6180817b,c8ab9b0,82b21267,9900c7e4,42ce9e8d,fc8c3fb4,fc5bcaa6,e0cd34b8)
+,S(ba5a4c4f,f2379b06,daff540f,c8383b9b,694430bc,df76c931,ccf94cb,896e4940,3a221d1a,b138e6f,4ed309b2,4f2e9333,25299de5,534a528d,b91075a8,fd07b1f2)
+,S(c69189b6,bee3746,88359141,5b35bac3,80136395,c83098ab,cec29fa3,18cfdf56,a185dbc2,b862da3a,cdc232fa,7e3407b1,9795e61e,29b7a79c,5828bd49,d739268c)
+,S(51f67d44,32fb401,ab863423,b99d403a,70dffd86,87e5ad71,bcd3732c,1cefae12,88b17485,a2c404a3,2bcae68a,3cbf2166,403e23f,8a64df5c,a8eb2d94,61e10e59)
+,S(cdacfe09,e5585f8d,4346fb69,a94b8b65,6001e117,ed3cca36,fa8bee6d,eb7c4bd5,ddf1bc5a,993131d0,15812176,206699d7,af5fc403,59455ece,fdb84492,6e028542)
+,S(8129e771,e1fce476,9c701d70,cce90888,481eaaa1,d1661be3,19f33c93,8bf0e769,3eb5713d,a864bc56,39ed8b6f,974966af,8a4db189,b5446d70,d40a816,f045c6e2)
+,S(b97062ef,6d415bc0,f302fc0f,8aa730d4,f39c14aa,f82889ad,a68132bf,5abce3ab,8ad70688,cd76c93c,fd8dfdd3,8522247c,6644c9e5,51116829,490f313,d53db3a6)
+,S(19c3c98b,4e811b5f,ea5d6af8,c4e86be6,50de67ec,5154bca4,22a6a14f,4f0bd913,bc523f96,48bdc993,30e1b5c7,385097cb,c18b9d5e,924767bd,d5d746fa,a190a109)
+,S(b9ef34c7,3616ee74,b1ebe43f,889118e2,ad7697b,efe63559,67a9b3c2,b5b42b9c,12f1cddd,d55b1ac1,b89be271,5e623952,e8dc05aa,3570e254,3b70ea68,5b661bea)
+,S(7718e34f,58e2cdb5,80f9c39a,96d84dc7,59dd2a3e,bdebaca8,6e8edb97,f503c34a,a6d105fb,dc0841b8,12dcd8f9,6c4bd17d,cf5e3728,8e0e3093,13567b10,3e96df7)
+,S(dab3884b,8e6de737,63bba89b,8d35a369,e259c1b1,8afb6ed6,21fcc871,c77e8dba,f44b6f29,c59a2d42,2babd4b5,edb4a009,c9316e09,2aef953e,e503a278,14a11577)
+,S(cb3d0e10,1139782d,e5e6a897,8b5be6df,a6736751,e847ca18,76aedab1,e67f4366,27fe888d,d227943e,67969b33,be48f1d9,572aff67,69c150cf,189f9709,bd57d3ea)
+,S(eb1b1ff8,55619d41,8d193db,bf62b4b7,656ea564,6ea2e79f,cca7fb3b,e8c3c6a0,c27fa0c7,5b73d5c1,d7113741,40384565,d36ae93a,49b327a5,cedd03c9,62282ea4)
+,S(5d5079e6,bc40f11,f75a1117,3ab6bdc,bee8f9f3,d2e57aeb,58709786,1c39c5dd,14ae112b,a40db9d5,dd65829b,4be7bdf9,4d8435de,1872bab,80581221,446e46d0)
+,S(1060ef7,6beb6af0,6d28acd2,6b214bb1,b708098d,e0300502,384fcc0a,a1a7b38e,ce40f39f,f6c6c642,9585464d,aa2183d7,34252c05,5207e2e2,75d0ec48,c3bdf9a3)
+,S(9651c463,c001f731,8947c271,ac274529,e7bcc894,70d63e1a,fd723873,aa170695,4e362e7f,e8ff06da,73d6d17f,e8b63c99,3b16ba7a,5a9b154d,21837fb0,e654eaf7)
+,S(5c422b76,592821b4,2f6822cd,cb428b19,895cda4c,d224400e,e0928f27,1f363dcc,2fdb4f4f,9e4c77ca,3448258f,f6c07f5,4cb6b4d8,15281484,44e5fcf6,492b9400)
+,S(db147d2b,5d98250d,73a3ce51,9452cc4a,ab3868a6,cd4f43d2,b7224d93,a9faba2c,73254380,ad3c6acd,fa343227,a7299684,9fdebffe,64c4925,8a391a7a,50ed0de)
+,S(9a6763a0,f97abfd1,65223767,8881e899,e1beca26,ed84d384,a41d16cb,e5454b4c,bb51407d,b6aa5817,32f1a3d5,51082908,e7952f75,92c8bcb2,737a01d3,3890306a)
+,S(36fe7933,e9108af4,f4e5c889,ef94f584,7b45a9e,8c520000,7db6a00,e5daea8,d024a5ba,ecdd5a21,c8c3a0f4,a71e15c3,1943c7bb,66b459e2,7fc85bb4,25227ee5)
+,S(40dae663,f04f7e68,ce782fb,87529681,44c749ea,5b7386af,c445568a,3bc784e7,49a463fd,ac6bcdd0,2458c85,423cf252,cea2ab47,44b16bb9,47811176,5755050b)
+,S(ba1616d,c8fff3b0,8e8c6d10,b15afd9d,da55faba,79fa8a75,42c5c9cb,adc5b8d1,ef096c42,a6233c66,1965a3ac,eca095b2,7710455e,5f0e1019,7641ab25,b0a786ff)
+,S(30486f67,23a54952,4d68c948,dbc71273,d69b4a05,5fb9e7d,a702d027,619c4a66,38ca4d4d,279ec9c0,85ea6369,5470a4b9,fd6acc6d,9a049ab6,5743ecba,c2444c76)
+,S(1b83ee94,95ead1d5,80f67174,dec2a026,d6accd93,9a89d970,90f25bc8,d9e6932a,196d448,fb5e4851,e1b73d6d,a2e7d0eb,3d263034,9c2b3e0e,34584bc1,d6e20196)
+,S(4ea9dc2e,edfa5a11,2fa76671,5c1579d9,328b6132,14ee64f,2e30f10c,b7517396,7414efc9,6ef83e29,5883f0b1,4019b41c,d4a192d9,d06cac9c,21e8f0f5,b06e50c2)
+,S(4166c19d,bee9ad08,83b217aa,3b657436,87677792,d5cb9b31,1a097fcd,2eb033da,62c5065c,5fae6aa6,932b4d29,ab375ac6,b80e113f,d38d81f8,abc236eb,7eed541c)
+,S(b17567eb,b112f54a,69c511a8,7d3d2f96,bbbc6686,af8e3f31,a2bbe0a,85a74899,f6676341,3788be54,ae3fc693,4b8936df,a6936721,c671cbb1,bdbfd72d,4c9f52c2)
+,S(cd2b6515,2ab97f34,89d81fd,f3513131,a6df0685,5022102,12c2b8a9,be8095a5,cfe7952f,9ca41935,15ee40c7,2d44d023,22afff84,b8700bb4,5f492e31,e78f6a53)
+,S(375603c4,9f33140a,3241a72,907ac0c7,2086c979,3aeaf74a,44732097,3618229f,7bb740f6,6322a773,e11ddb46,300975db,de08ba13,84480699,6681637b,eb85e837)
+,S(102067d4,390a3dd9,6d83c176,f341dde9,7e10955d,2e001632,978f202e,efbb7432,7cf6cfd5,4d28ccc3,a7019f11,b6ba9df6,1d8b7eef,7e70722d,afa81a2f,839ba83e)
+,S(47617e73,e3fbc53b,a703042c,f8b48fad,374ef42f,e8c2dd54,4fb7625c,de63081d,1fa4f423,c92a95b,b2c40f07,f43caaff,50cbae67,87c3e2a0,e4782f39,c1d439e8)
+,S(2c431baf,57f75062,9f57aac0,8e28a060,46b814bd,318d74ca,82e1174e,f880f84,ddb9e7bc,68574b32,c1004108,9853f41e,62755a52,ac58badb,b8ee58c6,f209de50)
+,S(91963643,8143b6e4,19b86b1f,79b708ab,3f4df44b,d774b41,338570dd,8343d599,9034ee17,7171a0d2,9fb91d68,26b87bbc,21be334,90f44049,69622a8b,76312f0d)
+,S(bf28c201,af656c7b,838d42db,95683b06,2871859,2b016ddd,a4a4f7f7,c4b7754e,bbd4f04,dda510d2,a8a66c2f,46ab0681,ce6ffb5a,ac320e20,c50b6df3,a345d109)
+,S(fcac7386,21825f4,4e1d531b,f598e40b,1aa4262c,a5aeb5a1,babb4f35,9518b137,3b196b7a,957bbea1,f3f2d1e4,1ba37eef,7dcca7fe,87e7c593,6ffff685,52e67b64)
+,S(9cfea1df,caaee192,141f0278,e467f809,8ad89cc9,b47ed982,3029c1dd,726e9331,72d81e4e,7f30ee05,8fd0b646,95086e30,96a071c1,5b75df47,b10146b,18db211d)
+,S(548d3f42,123553c7,965c7f21,f2802c30,455c5151,99b98e20,1e966f34,6a1334da,612ea25,cebb03d2,89538eeb,15b94686,8c0afb1,311278a,42694a0e,956418ae)
+,S(e5be619a,ccf84c26,9b5c545,e8c4990e,ebd46756,c628de22,a6c8bdd6,74295bc0,640864a5,7d841af7,ad83aa74,fa858b91,89e246cf,9b361837,a742e2a0,71b08bf3)
+,S(b560933e,3400ed4a,eea8f733,d2368c8f,a260460d,f734e209,e194e9ae,a1ac668f,5438f93d,31337853,9feab182,6cf17bbc,ac0975f4,de29a886,1b1c0c02,2c5f9da3)
+,S(21dd9a97,baca3e79,77ecf7d,d74433fd,dedf2d96,8c3153c0,2c652aa2,1ccf60b1,de6e60e0,e048b0b7,b699bbd7,cda0c0c9,b851c4cd,34f4b8d9,17c07cd0,2684797e)
+,S(5cfa560c,6d39439b,4c9b0a52,f9bda301,2f147874,48c9ff37,bcaf2900,fd934bbd,c7927a63,cc1959b,f3556998,ce936f29,29d5a5d3,3f0dda32,35affab9,a5b11b06)
+,S(4a3b95bb,5adcd41,5036204b,394fcc95,6377afe7,b4902f49,461c4b6,866d4fc6,d59e3ee2,f1bd1e4c,c089179a,4db9387d,8d6be47b,df708023,2a0d00af,a8e84f2f)
+,S(cc49a313,b4c69c9,13c06b7b,add06f17,404edb0a,dcdb3d4a,81c4b765,35f4671f,4bd722ec,c35e525e,af36c194,3d375592,ba483715,2c7a91b2,4dd57a89,687bc278)
+,S(9d75085a,7426a69d,9ccf4f90,d8b4ee0,e07fdac0,18df3d37,40b264cc,d4146d98,5991253,de04b32d,4772f44,de49467d,ce174ae9,3f941ae6,a4f6e3c2,2cc4b0a9)
+,S(dfd064df,737bdadd,2eb12cf5,d9f1e192,caa87c0e,fad20d18,b95b0d06,83210fb8,519f883d,a5bf8d33,50b1d2b,89012fd5,9f317299,3eae1226,13d81b92,9103805a)
+,S(2b50a35c,d2356c35,d609013e,a66318bc,1cf20582,685c12e3,bf618102,807eaf9a,7d0b51d,303aeefe,b81f5a77,d9b5829e,fdf4241e,435380f6,ce74abab,1dc76335)
+,S(e26e8f4b,2cf175e7,c76e2a59,459cd45e,f3202f3,3027f0c3,70481fa8,685abbc7,4c82e7ba,aa0d5161,53076702,997c34dd,716e5fe2,460eac0f,194f72fc,3ac2013a)
+,S(5903db7d,54f4d857,6a584057,ce78dc07,1fd90e51,f825c959,b46d3483,5d0f87fb,c55e2fd3,e9ce119e,47c00332,9d18d6f7,febf9440,a18de0f3,81608011,1e9e99c8)
+,S(4bbb0ecd,342a82d,c8b881e9,635241b6,1040e6ee,28b98204,fde953d4,4d25e9c1,12eb090,f3445b7,52abee8d,604e8784,82e97e9,b44d2335,8211a8c8,2cb0ef04)
+,S(4a2455a,ae87bf97,c6e6eb38,fd3279e2,7029967d,41b9575b,647550f9,4bc4e8d2,5a340ac4,ffe3bee6,2d52bea1,e276178f,9af3422,f9c61c47,4a595550,73936074)
+,S(f086d68d,c8ca19aa,54c329c4,c07b530f,94470abd,dce244ad,1decaf87,53477623,911c49d3,84a16af1,65be4161,cc4869ab,4d9e8ba2,808afd80,20d30971,b4bdbd08)
+,S(4f1b177e,83b76c4e,24a53f91,2095f1b5,d4b7cdf7,29788cb4,c989f921,b7ba856c,a5568c4e,b060909a,fc3dc2ff,5bb9534b,99debb69,dc0b811,e1044705,7d80eaf2)
+,S(eba87899,29a7e45a,23d2fcbc,884778d,c4fb5ae7,fa67954c,76534303,97db5823,e6f8c729,b3570917,9fc46b4,7f03af9e,801b26a6,1724aafe,e730217a,2dcbf68f)
+,S(df117b13,34c9a5a7,92d58084,4444559f,130ee539,89cc6e7d,87723b63,a82282c2,dd87ca57,8eea3c51,2aec5492,ea55111c,1a2fc55d,4e2335a8,c9be5641,516f7120)
+,S(d775543b,3e68ab88,36eaa1b,df5f6a06,1f5768e4,baa01a68,621321c6,e6ee82c5,70221b05,47c97398,3cee7a26,c4197f9c,27a2bf46,10506e18,493a9ee,1881436e)
+,S(a7f10dd5,5a231ae5,abc5c611,68cd58ca,5e006f7f,fdf064c7,1482febf,4578515d,492a33a7,b66b9694,e225eb38,d1d99399,b2c24af2,d69c31e,b4797a9e,703c13b0)
+,S(c79545ef,3119abd9,11336c86,c6b74846,801c6b3,812da05b,5d36e9c,620120ec,24c8fcdb,95b6eae4,51473f8e,f7dea06c,738a33c4,f1214382,bd7204dd,d3c28718)
+,S(98bab5e,744f888f,5f843ba2,9e2104a3,afa14dd6,6a2206ec,8e783e0c,52c2cb11,83b5699f,e5e87ed8,c51d929b,8146bcd6,a7abaed4,636afcbe,b2c30d2,bcb94df6)
+,S(6dce2828,7b6fa44a,c8213053,d39dfff5,60d84a84,ac264110,547752ef,dcac586e,1e1eb62a,b9d60cc4,5ab2fa8d,d065d1a4,c79be399,53578a5c,adcfc629,e237ed66)
+,S(e386a59,287a73c9,306b091b,5b24ad8f,db06a9dd,8f6f0c1,b7fb0ace,623dfa83,4a7e73da,663b64a5,e624ce89,9e16fcd5,c0d3b221,42284ed6,852960a9,d05b34e6)
+,S(8fdff782,e62fbe31,98c283fc,9b9543ac,cea0a318,2626d180,4beaa27,ea4fe4d5,fef8f471,9fe0d95b,673ed650,8107e887,a4f5301f,4317c708,c5222d2a,ac086675)
+,S(4c9093ae,7842b148,1bbb8b8,4ea564e9,36ed1cc4,35c89089,a10e0442,292eaa37,2d683334,93d245fa,e5ac0903,fe9356f7,8642362b,f85a7426,ea2950a0,a65298dd)
+,S(cc0634c5,5c5c52a9,d92b80f9,be072a35,56318c6,fd76cf2f,e866d5ba,33103a1b,750b7d41,b13cb69e,6d236eb0,87fc8600,4004aa77,1b699e88,7e8f0b08,d07f0b32)
+,S(9749a673,41fa7ac5,8bd33f5f,9cca4ad9,1d53c7ec,cff76656,9a56f71e,3b918255,b685f1c1,9dc7d6,7692a2aa,fe37d9da,5e68fd69,cfa58d87,ec6ced8,68916068)
+,S(b04abcef,b57862f2,5a57fdc,b7da0b1b,a25bd253,72bd91bc,9e0377b4,697d8e75,50479a64,66ad4be3,489b5869,d8b9bbe,62dcb8af,da8e7d42,78b5014a,19e168f6)
+,S(d11f7de8,5481fbed,f1a3b395,785f00d6,295059b7,c8049768,22624e85,45c78902,1d163368,be0c1290,1a7369d8,11266982,b48928cb,448039c3,17333658,6f5c3416)
+,S(a21c65f4,65c4c7a4,93225af,73b63cb2,fd615160,b29b2b90,970b880b,5756fd4b,69a26b89,394de60e,7dde3476,7048a295,57f1e3e2,5f7a586c,7666aa30,9345ecfe)
+,S(53c626fb,b080360e,9243d399,9a58ced0,36ccda8b,186c76a4,fdeefee1,6a497a1f,ad926008,62a7ff1e,519106fb,933616a8,8264d7a,c40476bb,eda7e1b7,742ac9b7)
+,S(cf67b587,1b2a3ad8,d0364fcc,8741f10a,11d96933,11b72870,60116c4e,74e6ff0e,2c963b7c,10ccd74e,f68ac068,cce1e30a,7be6537f,259abcae,6d36d29d,22b68422)
+,S(50216d8,8cc8700,29da89a4,b34cde0d,36428829,de9f58d7,31ecd6a6,c90b4bc7,920c1df0,96bc4891,8defce32,2a512d5a,36f65d7e,65525e0c,123d9fa7,49e38b21)
+,S(1d845594,f4686fbb,7b0cc62d,af790aff,3d6000bd,e26ec1a2,67766c3d,93d1aef3,eae11ba6,bd9dda02,ef134035,1847dc6c,92450b36,cd6a9734,25c09f9f,3134d260)
+,S(11ad4f50,b6c5b97d,767d590,859e2ab5,2e7750a5,6f7e70c3,d5c52bb7,9e4785e1,2c2bba36,8725d9c5,2152496,f14cfa71,1826e846,fbf7e7ac,4e263db5,a8023b94)
+,S(3568d27c,d72373e1,29a4a519,86082a1f,f76ee425,969d6e3d,12b242b0,bd49388c,e36dfa9,6d094047,16e35668,10a8e57,8eff108d,839cf3da,f04c76d5,8754fdb3)
+,S(3772ab35,45e09d0c,5d2abb91,97007742,46310f72,bdc0b8ab,afaa2c17,f17801d7,25229a8c,eae0c746,2d7a50cd,a8b012e0,775693af,8edb7260,5340042,a78884e)
+,S(8151b24f,72c4701a,e4624779,c8b93ad2,44f3b299,d1ee131f,a13054e5,c29274f2,58938307,25ffd619,de73fca0,50c28d77,73420724,4d2e4c99,86ed5512,b8bb6429)
+,S(46a4855a,d4101f8c,60c59705,e537080,1b57a81d,9227f4c8,69234946,5d539c9a,8fa66dcf,21117195,e2c117ae,e2f20bb,9517ad24,5fea8864,beed3e68,89e36b59)
+,S(b81bd54,3e654f3d,eec15001,c38bd2a4,efa7c45f,4ece2d4f,fd893c6,15803d16,15c3f7aa,31299a76,34431622,8f93b6a3,2b3947fe,5a894c4a,75d2ba01,4e9d3e75)
+,S(3e169a1c,f2a0324d,2478c054,94d58801,423f10f2,4cfc9fab,a5cd5cad,12e7706,20405bdd,d814ac7c,53469075,a700b4bf,4d454b,fca920f9,86923562,19389135)
+,S(74283e4a,b161b33f,f67a1b8,cde619bf,557f39b8,5443efdf,534bdd2d,4da65956,22296be2,89785c04,6773ad2b,c881744d,380c1717,1c77b159,bfee3689,d0b3df3a)
+,S(62715786,cb76bc9f,b65da0a2,3b7954e6,1a617fb4,de828092,bde3da39,ea6b756e,3c27bbe3,8829a150,3b563337,bf995110,eec54d58,21e1f17d,34a5fd90,52c2db32)
+,S(96200105,db23b893,84336bc9,d5596740,2c93aee2,ca35df73,9c55a000,6f7c8aae,3192968d,400a2604,c80307c5,d9865f49,ea41cdd8,e3fd3b19,a2bdfa17,84a6ba26)
+,S(bd477798,bd2691b0,8cc52fb5,cbf8b2c5,31787535,541b5c31,3aad9696,b71d13fb,be2b51c9,a4ab0033,c21dae50,c4e7b2b,51978b39,4a66d50b,6be7e140,abddfc3b)
+,S(fa149388,e46ff849,bb5490e8,3aac6788,70da101a,f52dab05,9039c305,475289e7,8455577f,a8d85674,3b32080a,dcd26a1e,c75af3d1,c184d5e3,7f22030b,8867b2a7)
+,S(4228db83,af1ffb1,d4bbfae7,3781a70a,8ab50d3c,47200e86,ff436ae0,3391ba90,45db1d0a,b0e6f0a1,801560b6,419bd2e3,2413ddc9,4b4ad637,d4071d8c,b7a270a7)
+,S(a97ab279,fe0df5a0,3d494c02,eb69c686,1dc3a39a,fca2bd49,f4161ff3,817c85c,5006c8bf,f128de17,3d72f99f,7cd6deec,5d4b7441,6b1ca290,e535c8d,c59bec7d)
+,S(c0d46c57,6bdcc661,4e1a3a1c,c19fba37,9f27dc45,5135eb63,f8d44666,904c668f,396b60a3,b28b250,2c97d7cc,f93c7609,3d19172f,47fffa71,f190936d,cb215f58)
+,S(73c5d7e0,4599fa7d,e09b8c2c,25c5bca2,b7ae4c6,e1b88e63,6de3363f,b1a8dbbd,1d9ed08d,558bd642,9e986b0,c431d67,9229adf,6fa8dea3,faf17da2,747bc617)
+,S(370481d,a2ef4843,8d897c6e,f1a01750,b4788c65,62ad3ab7,bbf3c89e,e24827a7,a88b3876,c2051901,1d84acc3,3000f0f1,ccf794b4,5385aaaa,190e435c,760fa7b1)
+,S(2dcbe303,3006f0a4,99dbb7d8,d34790be,f2b68cbf,649b9d54,eda8819d,637807ec,b82b46e3,c7ab329e,b915de2d,f3fa28d6,92cf43d,584f9bda,5d6f58f7,1a90c1e1)
+,S(f45f3ca9,16db45c5,de35d957,c24f7a59,44052b64,f8f423c9,8a442f6,17bb4b7,79ddf02f,b3154d6c,da1d6a79,5c64de61,5b4a0ff7,810bbfc1,dad68e60,229b5a96)
+,S(500caa8b,cad0567a,465c99bc,c4802553,ee17346b,e3a9ae93,4fe7e95d,e787605e,40847ed0,75dfc8d6,ae19dccf,73ddd256,4e1beea4,7f822a58,f0570c62,f238370a)
+,S(30562986,a23962c5,5b746191,e23b893b,7bcd8b87,6fa85557,c525eec4,d64c3aff,2d5abe,41c45383,1b60c034,7bb55464,e19d8d98,8a5d5fe9,37337507,80577a53)
+,S(f687d51a,32526b72,9ed3f690,be1e6205,ec72382b,6a30478f,63a18e0e,b48e422e,efce1b35,19c94f7a,fc54da2e,d36b15bc,f197e2ce,a0c2d680,211e12ab,7d515704)
+,S(104a63f0,d385351c,c9ce207e,500ae7eb,22199ea7,dea65018,472884cf,a1ca505d,69c21887,50b20b3c,5af1600a,a2a2edc,a6de0be9,33d2e67c,e05ac4a8,30239cc5)
+,S(50966099,4b7b8ca1,abf963e2,ff4d295a,eb3d59bd,43029c03,5e6ac9a3,ea80fc6e,d48589cd,40d019b1,81211674,854aea3e,56be56a7,bc8ae519,72963adf,327287b1)
+,S(3106d6e7,94e5e135,1d788e85,eb0f2c7c,7ac22e9f,d1c86a0d,d22cf88f,54513c95,c05e593c,4568cc2,992849d8,4006ae18,4ad2888c,82ce8dfa,dbf984bd,2fa2bca0)
+,S(4c967d1c,9977bdce,84f76ac7,13b9e5cf,d1081b43,de681235,e7914f6e,2059fdce,866470b2,a3e99b74,15c2cb09,83a5c7dc,fcc10d02,a28e90ee,206be515,e88968cd)
+,S(96319099,ae8d7741,1d8bbb7f,bf58f62d,b4027b02,ff5e32b2,e4aff910,3a781a52,6c110074,daf2849,a3b148f8,dbba2f0b,d776eb4d,b787ced4,22edc5f5,67947389)
+,S(7c93bb23,87a36cea,9dd7406d,95af56f2,b972242b,759728b3,bdf30fa3,58247ee7,21e4de98,33487c86,6da01e16,895a0e24,17cb34f6,e3d64e01,8f7c4d99,9e989942)
+,S(c65e4a03,88de1618,6d9db143,387a3229,c764dabb,7c6ddcdd,c3ba9195,7f1e074,d586d143,8005b28,cea25a45,7c45c1fa,2137bc2,fd78417b,daa499bb,cfca658b)
+,S(d895a924,90c28692,bcda380c,71d8d1b8,381b1fb1,a8108f35,4d9a17d8,64d674d5,d30bda25,a63013f,79ef5728,dbbcd259,c7cf2ba2,b00af73d,9804f758,7fde17f5)
+,S(90467c3a,5b36b9bb,faffa164,63d1f70,c892e23a,3c7f1132,27bff1e1,5fdef988,4ec70191,40247d9b,3cfccb41,ba22ad76,20522577,1e33d568,946c8081,ea9b15a7)
+,S(5cd03d63,d0e025a,7af268f7,8f53efc7,b4d38e5d,58da5981,abcad74,3e294c7e,c3729f6e,5517d41c,ab1510cf,ee4e0e48,f168e043,34dd8781,1a10b70f,b42dfb3e)
+,S(5130c49c,652bc5ce,a3dd7629,bf362294,8bf69c02,f9806988,fc700a25,c7e964b,7e46e219,4bc9dbd3,99f98c7,b7a44313,a027ef23,1abe336b,7381c215,6f2cf563)
+,S(95899c2a,33b8d4e9,13947306,6b924812,261a3155,e5a7ddbc,c5447796,8edd34da,8967be99,84240292,9ea7277b,5be0d045,bac79fb4,93a08a41,d4dc5991,da6b7cb3)
+,S(3928013,8cb3e93f,7c4650c8,8184dfcf,6e55d238,2e75e604,9dd6e40e,f489745f,70b25e98,b897f3a1,c89bd6d4,72f2555a,56bdf04,6fb43799,58709471,f8006a52)
+,S(a47e1331,b5fdbedc,e490497c,bff1088d,ba72070d,3cfc7997,fa388fc3,2f80b451,ca54b8be,fff00465,4086c75b,da3ccb9c,6244746,522124ec,ec22666e,a9576b19)
+,S(cc1a608e,16c57528,3cbbb134,4083cfd3,f1b325cb,b48df6c8,2d50bed1,e0cfb96a,5b8aca44,67d9b224,413b0c98,78e09213,591b8f87,b024bab5,55120a83,38cc6734)
+,S(d8354bc7,591ebaeb,7ae4d1df,2db3bde3,b7438d1d,69b5991a,5d70f6c2,c3fc3cea,efc89693,6765f03f,29422703,97591bed,7d95afc7,29807a31,fe266f08,9eab5ad3)
+,S(6ac1c963,ceb2740b,212ef42e,6da07647,481ee21c,4e3fdd6f,f2ae3da2,8ddef8aa,4fc8817,1b6d5ae2,45453c94,f5f2031c,c52140d7,a110d9f,b1bbf3e8,e5164281)
+,S(be130f59,b52e4148,f9c47469,778fb36e,74d4da3d,a00f5c4,dddd2e47,6f18b42d,16dcd9e2,f739a58a,22a7d76,1c1cdf61,c5b9f8b9,46449516,9398dc1,fbc47069)
+,S(685db8cc,39864a55,68b56e59,96265bb1,24ee71f9,1f9f4f3f,fc3c79e6,c063bd2f,730a7141,8e5b2f7c,2d333b8e,5be3021,22b396bf,9a75f493,37bae5c,86b50f29)
+,S(39f41ff3,89f74c1a,e25e564,b9bc189b,f31f9af,cf0ee4ea,aad66ee6,55d743ae,fbea0f6d,e25d4fee,53f0aad0,9338f739,26fdaeb2,edf9d8d8,8e1e520d,d66c8622)
+,S(d7a69574,41bc9639,994737b3,d483bc0f,c29b1b62,cbf59f28,b12b208c,4c20ed1f,ce44e2da,cdf8158e,9c07ca25,1b9a3d06,91eea29f,41f824ce,ef2d631b,65ba8cb)
+,S(85bad160,9139cbb7,2be86793,42b37884,22f5981c,5fdf30ba,4914395e,c1eaec9a,99fcd461,29e576b2,b25c57e8,8e3fe3ea,362055c7,843838db,4196a485,cf14dfec)
+,S(2380bac4,d428a159,23c2ffbe,8f17da09,74d986fe,4210b72d,51a1eb80,23ea49e5,f4af7313,fde4c7f5,e45e38bf,c4d44bbb,3ca1015b,d209065e,5a6ab074,5ed6f54b)
+,S(c0561359,b7d61dd0,e359108d,f221202b,97c1acfb,894f4e9e,46fc29fd,364f9cf2,3c377d80,1c72a9f6,2cfea5ff,350ceb32,75b16103,cecf492e,2901327,d27d83dd)
+,S(72c499c1,b8f4f2a,eb9181d3,9bba5b2,76481c04,a588fc6,4ed438c4,920c2a06,6c994c8e,60825314,2a34867b,1f82bc1a,f05ff8ff,b3045e7a,72d01243,b2b1ce53)
+,S(8de84cbe,2b66209,f8f8e2f3,f06feb45,66e02c9c,b5df26f8,84e20454,ffcf477d,c7f2f680,c4d07d88,69348e98,6a3b7ac2,ac9e8542,a019f379,6410b993,742a34a6)
+,S(dbfec9d8,6581d762,e5ac8048,886b9d2e,9a2d02ee,63c5f442,7d02d12e,401710f2,6e611ff9,827bb1ac,a885acb5,906648d9,b46496a8,98a13c90,48868d,c0daafea)
+,S(9dd651f8,6099edd1,b3d0ade7,82aae6b3,9588dc2a,291577f9,f2456f23,d1d0453d,4f6db617,f0d7860e,18be81a,dfb6d773,cd3f905f,98611845,5f5a0b05,ee715ebd)
+,S(2fd8161a,c869de35,e777a885,ee608f96,356445f2,fa2f33d1,926260bf,9bd66a15,1d2c21e9,674c2d92,b64163eb,12de6347,98c6e7a2,9787daa,7c6b4c80,fd307f25)
+,S(3f25bf89,24f505b2,3f1538ce,4940edf4,8b6d8765,f88778a8,495e8a84,a29dc391,70253583,e7e0782,18ab0252,52c613b8,34438254,9dc57c30,afd47297,2c8164f2)
+,S(3c0f0359,d5f72344,f8f3d2fe,28458f30,467dc770,b55eab47,ff2e1ee2,6c773f0b,49583a39,459f19c4,5ac50d78,74626524,b9c25030,e45f2c7b,12729ca8,1edb33c7)
+,S(56380666,ec1b5df2,36045855,fa0dd93c,87e38d70,fb170dd7,3be5c308,36b73a15,700690f0,b210ac6a,9aa91252,c8af8f60,b5cbbf93,8291fb11,7bce1f0a,759921a7)
+,S(71ca710b,b9a5f7f,ec6b228a,af3fc47e,25f90201,fbe3c673,8bc6d2fa,9c9298bd,7dd2528d,c0750899,b1891287,170159ae,c759bca3,51e243f8,fcc9efe3,2f9abc89)
+,S(78ddec3c,c938850e,7c2ec20f,98e1be3c,6ed87fae,827c9102,5112d0b3,5d264575,19072951,766a4050,c8585048,d6f19e60,22b9c163,f1799ddf,d486dedb,3d680321)
+,S(9aaebafd,8852857e,8c670950,93dac29a,5813249,ed03e67f,3226ab3c,7b4ed70b,8c6a2acc,b541bd51,65e13bc,a3c4d2f3,2457bdcc,406ba71c,7b9cecd3,4705fffb)
+,S(586eca74,941180fd,da16c7b2,8b9bf139,a3096a6a,20ab9bcc,6d12be5b,db2f79e2,b3b1d12,361609e5,afc5a7f8,26a21ea,ac4bfde,56016ad5,bfde6f93,a3488d71)
+,S(1857bc3e,dbe4de2c,86fed7d4,cc3ee63,c0e0b6b1,36acf97e,e3638183,8d50ddf8,ea5e807b,e7a588cd,ec759c67,3584675a,8a7fbdb7,cc5a1835,119a4f64,8c275363)
+,S(aa4cc744,7572c62,22a6cd,bcb8813b,64206796,27f5f7ba,863d8566,78e5b01a,ba969ac9,d259244a,9a3b7f9b,b3821a61,a4a97b8d,af7e08bf,f39f099f,8fa2f836)
+,S(4588ec09,59174367,6885fad0,a43d85cf,d6f736b,cb276179,e794da35,204f36aa,fb835e7e,cdc681c6,ee1c89d1,dcbae3b,a9511692,a54c9c37,2f86f4b,cc7c62e)
+,S(867acd03,7a3e5f86,99e33f22,72f7b1fc,25ce6622,5020a4e,ca3b3111,e880653c,e9112ac7,57d3f905,3249ba3c,ff64640e,639cd94e,5d6cf946,d8d7f3ad,25764646)
+,S(5e0a4169,e4f81dc2,28ae4663,9ae3bd4,b527814f,4616fc13,318fd5db,26df370b,5bd335a8,fc23934e,bee2e32c,3bacad4c,c38cd624,8cb34ca9,e58f8add,3140d001)
+,S(90053469,39df2418,1b5b2e57,82a82f15,542a55a3,adfe8263,663b4fff,b101c0f6,4ff0d589,973985f6,858f3837,89c3a5e1,74460778,3a1b1476,e3f1ea51,37e3d991)
+,S(a99439a5,53df33ba,6a32f33,d90b1500,4e2db077,22a73561,8f4c3b0d,63cec63f,198e0929,f11fc777,ea9cd8a2,e4e6987e,6f9c1fc5,f703ce7e,7e6423db,39656cd4)
+,S(51f2a136,1381ba14,c8fab71d,f82aa2e7,1c7789b1,b78c355,a0e2fdf1,5f085282,fd5f129f,ca15fea4,d6f23bbe,43197a3e,6e2b7b26,84934ea5,a97197cf,eb2d16a2)
+,S(3a91f81c,8b064b2c,99509777,864c5b4f,bed208b8,f541f68e,82053158,2ea91d3a,9d59003a,d4ae39e1,95077329,e585a8e8,a542b594,b6010404,8573a01,23a513c9)
+,S(71e99d50,aa22fa17,3f026dee,e728c114,5e491e84,e140b462,1056af19,9736c5c8,ff3e4f77,68588846,7c662729,1d947e77,699806e3,9bb0bb26,53f67ec4,176a4995)
+,S(ad149e93,3a0344f7,3fb53286,ace2f3cc,46f7450e,e859980e,6d392001,7c8aaa39,7dbf4798,85a4f354,b4f14060,39a83789,65a5ab3f,f1157e3f,2a4f6fae,909e81bd)
+,S(44f0a37f,5ad78f6c,4a40ca20,7969105e,86e79ed7,7ebbcc32,1a247f91,751ccb01,f404d867,911eb3fb,efb1e559,66b5128,70836d9a,12891905,af649555,c353044a)
+,S(4f77dcc3,de8de08c,4c0a4a8b,29717868,50f5c0e3,b271ec1d,c0d38a61,b30ad5d,73c7424f,8ae80ee9,2118aa5a,b0aa65b3,58dc7300,806ef2fa,55836a39,4df57c69)
+,S(794a108b,102a0923,6366efd3,8ef658c1,6d6d5c24,e5e2dc0d,38d71371,e6005555,871965ef,efd79050,69acf0fd,c1f84798,7c9e304b,5fdcbf75,1a6f6737,ce46ba2c)
+,S(f1988561,234b863a,df5bd49f,5a0b1252,a72e297c,ea3083a8,22da48d7,14e8e594,7adba507,d0ab51a1,8c036612,dfda3f8f,abd2f573,d31aa03f,ca6eb361,a83fc418)
+,S(48bed556,c07c99e0,71249b8f,7790aaee,f3fd27db,f82d1c75,491a18bd,cc3f4a80,9dae5280,21be418d,1b4dd08c,be5dbca8,46cf0122,d4943543,8561e555,66316e94)
+,S(bbfef3fb,e53779d3,8f376fef,974bac74,ec8449bf,c2dc8a1f,3bfcb33f,943ab9c1,bea5b772,ee798aff,c610e849,5be0ea8c,ed462563,848030b0,8006c6cd,e312551b)
+,S(42af3415,27b3cd52,3806b04b,ecc175c4,156839af,eebc212e,b74bd6,95b7f06,686e5fe5,ebf16ff6,2376d096,188de980,f91a5518,25bfa137,e7b46df,59dcef4f)
+,S(3c56d78b,74ae87c4,6efea376,d58b7d5e,30749726,40c24d69,38ade127,71ce10e6,ce97decc,f9d1e215,d363b36b,6ca2bc6c,39fed00b,511bf883,50732752,48d54a41)
+,S(4b122599,1944ef0a,ae6404a9,e48f69ce,67b52a1c,da4f291d,33afdb09,b789b61a,5c8be350,27a3f992,5377932c,b6d92bc0,62b1bc80,78e4611b,f3ebbe66,b6089571)
+,S(9e42867,c02c9314,a3658f18,14d8c59d,71674955,2b00be9a,cd37350d,18d49db5,5d26d035,1ff90d73,d783155d,afe20cf0,39f65b1e,6d8d5d0d,831977c7,17a8c761)
+,S(9643390c,5a95345,2a027d0d,47bf6fa8,306ab31e,5dbd8b94,402db973,275359ae,b354d7f7,1019e9c1,d23560d0,50fbd4bb,abbf492d,f595c0ce,a699721a,b27a3933)
+,S(8b4916fb,86f77deb,505374f9,1f15782,1b6f7884,feae9f77,bacf5620,7e126b69,9a83c0,6d86db13,55c3d59,cbc87fae,ce6d2af3,64f9c213,816cb326,28be1fd4)
+,S(d29df4b,109782c4,1f5ee9ab,b8488f7c,11de8efe,9552eff3,7ba3cf0c,d0054b9f,1bf06237,ea242c4f,bbe08f6,a79b6808,d1a5a444,1989fd1c,98a60981,40ca07a8)
+,S(2aaf397b,a5405044,539167d0,55113acb,d4a20265,206ddede,203b8ea7,21dbd41d,374e32c7,1132bbac,91e4b4a8,aa32f308,13a81c2,4f7b3c66,63d8821e,9ef73081)
+,S(2239b3d2,23eace6b,8ebd287c,8b6a398c,1ca58a94,5d8b7b81,7b1133f9,cf57ef48,fda880b7,4b54a8b2,8af4b26,78e03f28,f01d70fb,3e4ebbda,94ccbd43,e2b4cd46)
+,S(8b3287bc,f47e72df,7edc9178,51edb145,b88ee233,9f254f62,e86ec624,a7c7e365,54a06bc0,9f60d54e,5f900868,c0c3d37c,db6d9969,1eb605be,321f0f20,9fecabb)
+,S(d9accea3,3e3cfee9,10d7e1ff,3e87539d,ace742c7,24d6d36d,d8d981ca,984f7993,6adc974a,a901e5d2,d8cf5a05,a20bd02d,62947f81,5425e690,565638a8,427dc88b)
+,S(d7fc57f8,34c348bd,e6692b50,474ee038,4af245da,40b8f6b3,8df2ae5,a8b3206d,b253e4b,41fd9fea,9b28e04b,a6db0324,231edb1,1f9af406,e38d2b30,244e2d19)
+,S(25808fe0,ec4a1409,36b34e16,595021e2,b815f660,7a23d505,9ad5b5c3,14d9588a,d0664ad5,b1d46ef8,8c8a1eef,bb9df1ff,a75bc16c,e8bbcec6,6f4798f7,c58e7b96)
+,S(e4474780,113955d6,72152fa5,70da35a7,59e67a76,29a39ecc,3226ea13,99927914,493cc170,aa2f0486,da6834d3,3566c78e,ad4eb3d2,837ef5ea,c1adf3f9,43793bee)
+,S(c5040dbe,2af9d706,76ddd900,d00f1046,44e2b985,82d46f11,47602b91,126311ad,840aab11,a2316171,cc9b6466,778a9ce5,a7cabc1b,1077586b,91a8d280,324ddb15)
+,S(23391baa,316d33eb,3a7ca123,6c47d4e4,8116cd4f,93bda3a8,12a228eb,437d9f14,1d81341d,9e6d76fc,1ca69af,f6d8d119,bc97c79,c7cb8b7f,1ebb54f5,cb7efd4d)
+,S(13211756,3de3ba72,2fc6682c,beb39494,8aeb8fd8,c0b95eb9,45eab34f,bc39ac38,9b772721,8a4b0823,7c961431,e26cbfb9,aa527905,41b753df,89eb9ad8,8d74f006)
+,S(3b8bb898,b27a2fc7,a1cf896b,bb5cd7e1,708b943b,afee896d,2ff77a95,ba789708,d81e541c,668003e5,5a1e13e9,6a1635de,7fdcbf79,c34068c9,248100c8,9d36c1cb)
+,S(e1d70a2c,9af5c4ba,c505e4f5,5c0040ff,d94f162c,815a2e21,c7ce899f,e0217b4d,b25630d6,d20e0e4b,3686d66d,e2b1e53d,eb063b99,e79c212c,2fd3cfec,97a4532e)
+,S(1b1e3823,a51778fa,d38f0c56,e2b36dff,a7e681c8,30fb41b5,ff1aaa7b,d912de1c,f2e99a90,a951201d,ce725855,6bf7fd27,bebe1626,8328116c,d593ff32,2584d4c1)
+,S(1e31d838,94f56191,2c134817,55e467e1,8745a91c,d903102,e48f7282,21bda7a1,11dcef88,35dae18f,3c02c6d9,7f80896e,477a7b27,41203aee,5048c94c,7cd610ce)
+,S(cb9ac34,795cbc99,bf67a7ff,2bc3b497,311f687a,51b5028c,422b0301,8ab7100e,5e5f0621,c804b35c,e01e95e9,a8dc13f7,e5ff32dd,8a44f320,74e44836,3cd0db1d)
+,S(afc34ac4,67dad38,a0e326fa,1a656c48,24dcb884,f00a20ce,56c73835,b4e11c1b,c8b1c404,3f6d647a,382ef031,a02c10cb,77a033ae,bfc6dde1,d7508136,28bdcb96)
+,S(3a6fc160,ca85aba1,619430bc,ba14e12,3330f636,7a78273e,603f85fb,e270aa81,594a2b72,86dbb390,945a7a48,3707bc32,cb72cfc9,19c241bb,61774dba,222bc0a)
+,S(a840f695,657c9c3a,3f64f56e,af18debd,bdc1e4a8,e3eaee43,46b19601,433ce7d4,8a8a7ac0,ca41e2df,461eae96,bc00131b,1a77b824,7273269d,7a41f49f,ea126fbc)
+,S(c044e01,70ec6914,c39d08c3,4a293268,65cd7762,d6e0f3e5,5f69d80a,e80a39d6,7bd63082,7ae51516,25ee0b5e,c2f97b37,6dd5fd7b,9205852a,92dbf922,3a0b4657)
+,S(cb90135b,352b969b,45eb5c6,7cfdd288,2bf9271a,41da4b2a,a89dde94,eaa00b3a,14cbeca0,762d9b11,fe4b6d26,7277a8f7,b4dac82c,52634b49,2a84b616,2d79be93)
+,S(fa7bc437,a24dab0f,21c7c063,3aa4a8ff,c8216676,75ea6963,c58c84d0,b182a0e,e24267c6,d7300c6b,6dd09326,c49359e0,fdf72114,401f244b,383eee54,d1a5aa35)
+,S(e6354cdd,3f503d25,37b2bef9,91533ad8,35e95657,3bc8afcd,d0c1c05e,57b3299a,d6c17b70,6291c8a1,989955b9,ae9ef9c7,cdc2b6f3,f5cada0a,3c4d0b86,859ead7f)
+,S(9da36530,7e815e3,df0dce9d,50d7d812,132ec23d,2bf0453b,483af1f,bb45cce8,bb374566,98a28ace,a86a1b10,2909ae91,3bbc4b23,22f4d09e,bd298e51,d067a8dc)
+,S(dc457a1e,1a19cdc7,6ed1c3b,a416a886,13b25788,22d691ba,76319b8a,38c9d4db,39f93f66,de5a650d,d49919fa,294638a7,85e25bd8,f8285776,dfce813f,bbdc3b58)
+,S(b2377b1f,1b1a0e98,5ff57bc6,64ca456f,ec216c6e,b7b389a9,62b9d82a,ccf0374d,383a5580,d723509c,bf114e74,b3eb9746,7a040fc0,6232adb5,dac199ac,77578c1a)
+,S(8b1a6446,755d3a85,3851fabe,b95c24d8,2a5a86ce,5e5df65,78051124,acfc7e50,42b885d4,cb632a67,51a88aef,192a5bfd,ed1cd461,438cb623,1caf3346,9655cf75)
+,S(9408819c,bacf1a0c,9e5f1416,23a907a7,c3a7efa2,30a15b3e,7d5a6ff2,5103f5b1,a9758ec9,d6f84f73,fd107451,f0ab79a2,1df08c30,cbb2456b,d6c68cb,c506f98)
+,S(8bfef047,7b3f8cb,99d7c933,a884da4e,9ce6d473,c243d3ee,9c319870,b06ce25c,8bbcbd87,d06af17,550d17ee,83017c58,627f1d84,e8a07e37,ca73c12c,f7e5c498)
+,S(2a857f0,c12202e1,1dcb84b8,adf582f9,8eff647f,c3803cc0,dc1d294b,414bdb61,9bac456d,a7fd9318,244af8c6,48ea23aa,62c8ae1d,af7fa9af,e430efec,46db6548)
+,S(937b8c5a,90485ed3,d06b224,2ff53e6b,b94b1ee6,a493c835,25e3acb6,5d5cb5ec,d37b136f,f9fb374a,50f5a311,ae366ca6,c9c3d867,e9b7e788,da3b2766,a7ccd808)
+,S(5f544d53,e2bfd6be,d9150ff3,6a1e5c5,22b24933,489201a0,65a0e0a0,3a43c77a,ba9c20e2,8c47cd98,1752c413,70ced32,8f4c847e,20165562,c3137e0b,12990f51)
+,S(67b63388,90bf8baf,a5b64fa7,eb9fa4c9,e3249cfa,81a55cbd,9c297e7a,a7c807b9,dc185675,2d94b811,42b54577,edf808a5,d871ec1,6c8ba567,62061dbe,ae7625e6)
+,S(587a9dd5,99cb448f,9f92ffa3,d6328032,b76604d8,386a2e2f,bd324628,98439442,496998e9,a893faa7,a49e73ca,2dbbf533,488aa687,51ffbdee,6b6d6dcd,dbae9870)
+,S(36fb7b1e,c576ff9f,81077312,35d18612,18dfe51a,58642a56,8f80294a,63c29b38,34a45ac9,b82cb1bf,2c96fc1a,67de8a63,5c1a1589,61baf8e8,a2f01572,1566c4aa)
+,S(87b71c8c,a0afecd2,dd8f49c5,109ff434,ab8a273d,4e4efcae,f775624c,71f4ba95,8519151f,51122588,76527c56,e1e6d9c8,5b3626a1,bd6ad0b8,1bc382cc,525676f9)
+,S(acf65cf2,805c370b,a3bed962,c3ba3b0c,56c98,b81a696c,f433a0e7,a463e040,f093929b,f45be16a,f962762b,52f57ef2,dc7b0e23,cd68e3d6,63b3b402,15692d5b)
+,S(e092bfed,8b010c85,b91f1674,1cdfb1d,e3e045ba,81297f44,8990475f,2147acf1,e0bb9842,ecc8683d,e4016072,86070da9,8c4d18af,8bdda91b,65770a98,77902c37)
+,S(9bdfd7b9,8260bcbf,17812735,c70501db,ba386b7f,28ece691,97c871ca,610a52ae,9bc65398,3f8c4cce,731e01ba,a5f509f4,887d9a78,40620d9a,ffbcfdeb,5e371eeb)
+,S(3db22321,d9311589,5c85587a,9095421c,afc8a80d,86a4240e,9a4a2f82,8643545f,42af30b8,2c57868d,e0f23c9a,fb19947e,fdd6bb45,4efc68bf,ddbf7349,8fb78eae)
+,S(e9d3f14,a6a77ffc,f86decbd,c5e43fa3,c3757a64,22d37da6,25627961,622b3e5f,83ac0bed,1e2a714c,c6ed0764,da92cc17,fd18ee84,36d667f0,2f90f818,30e67de7)
+,S(412486e4,f29b4887,e1448af,ad59599,b31b9085,8682580f,891d51e,9842f2a4,c31c5931,8c0d6790,c2fbbb03,9c2e761c,bc5577b,53161a8f,80d397f,de7ee3d)
+,S(e9deec71,41ed506f,e2dafbe0,c9ab75f9,609f8422,a4b2da26,7c529d92,36b4ddaa,8728544,d8463bc2,d846029e,5d2a0a40,8dfb767f,9adb79eb,2209478f,6d94a21d)
+,S(5a0a2292,553c46a0,823a1761,2b8925e1,bbf01c2c,5bcb7173,5f0fd6ff,b264218a,3097cdf0,adda0f10,a261f897,6447ff9c,12de696,8f05009c,e90d1575,e55dbae2)
+,S(49cb2a37,8b681ad1,ba1dc23d,8d12f186,563a40f9,ce0ffd00,5bade11a,4928d1f,f235e2af,c0f65fa0,ff15a938,ad804a3c,fbecc5b6,e276bbd6,32a06959,3d6732d6)
+,S(d4d71cb6,36881177,b05ad510,a621cd44,3dd1afd4,84d177cc,f99abdb9,1615feb3,3ad65378,de3eb9b1,606f385f,a950d533,5316c363,fb076c02,ac7f12f0,7562645b)
+,S(591b2e1,4bdd6e00,64f798c3,14e86cc5,529c99b8,3f47d148,b7e3e642,35bfab2f,4f686266,fd2a4c66,4d6bbaf1,2a368d59,12a51789,5d783aec,a986a568,a8fa59b0)
+,S(ee503c85,c984bc49,3d7b63c2,92eac9de,be253400,f4988086,970be236,47356876,bd828abb,6f9e89cc,741704e9,614d6711,39449bb3,a7ebdccb,976c573c,4bdaa47e)
+,S(2f9b4fa7,2e5a1fc,ca36a3f9,8987c3af,756e78c9,77fd5697,758c95b3,14b3f89e,9668615b,3d5b3c74,4ea2e1ce,e909d9c3,956657f2,1a65fcf3,3f0ea150,1ca4a15d)
+,S(18b6d06a,a34124f8,5f92b204,e2a010aa,a1f4aebc,6e13a62,34eb1c92,7afd46c3,66cc31b9,bdf600b0,7e624bf,a3e079f3,258b0ba5,5437264f,b460481d,1f4bef4e)
+,S(3bc07963,bf758dd8,fff37d0f,30db6eb,67662a4d,65395688,1cc30340,ddb44ba0,60e11ef2,68209a1c,2df9a3c2,276db6f8,8e6dc1ec,b74548a3,57d770c1,ad057e5d)
+,S(bf585d6,5b325423,afd49af3,c9fa68a,91498b5a,f0ee9e3d,d089b288,53a46a8,2f8944e9,ea484b9a,51256e2c,fa9e5396,4c000c1,3451cc05,94bcf6ad,e38e66a6)
+,S(887c0a2e,be7a0257,5d5b59a9,11f40ef8,f0cf1438,d7f05a7f,64e9c133,cfb69294,45f334c8,4f9bc66f,50fde594,94175491,9c37c30d,d20f6a58,40271e71,60aec5c9)
+,S(9dad7af9,a73325c,59a17700,fc3dc6bc,3718e79f,804a2116,1bf9a36,622f7d4f,2b7c225e,99c6a94,c7e326ec,b89eb8dd,40644bad,1893136,6442985a,e6159525)
+,S(847e4f95,72bd29f7,4f3e9a2e,d73cdfcf,63bcb61c,9caf8694,7cb84594,a7dd551b,ba6ed282,e0a92c62,fa86286d,370cb344,f6f1182,a101c4b8,1ea89a15,b393ee16)
+,S(25213205,df1c3600,4673c4b4,49256c70,b5d8c62c,cdd3d580,2684af47,f047a593,36dc81de,5af4709,fae2a47a,8a205647,95aabfec,42a79f3c,54763d67,ef096837)
+,S(75228cd8,4866df7a,4713a25e,f2fb29fc,95ebfd70,5d73229a,b170cbce,1058e87a,fba4879b,cc02d3f4,fd25f056,c0854415,68a47355,929bb812,a7dbb30b,c012fe6d)
+,S(74945539,22867c08,6d02fb07,c0424890,981a1337,42c63fe4,b6adadbb,59b68568,7d774917,8df8b19c,8af0bf0b,5247e751,3e3b8d04,46465180,341ebb54,1d1af3e2)
+,S(69db7f53,2899e39c,fa0cbadf,c29946f2,71d28ce3,57f47f7a,609e0fcb,ffc9b04f,cb0243bb,103255da,ad423ffe,e1d50f9f,26da7cdd,764a11f0,a6694b63,199feabc)
+,S(727ecdc1,fb4a0dbe,fd2fc37,8902f922,ec4aedf5,53dae225,1d173c29,2929f8c7,ae5bb2ed,13778d60,66446ee5,e5754db2,bfc4f7c1,64bc035c,224d495e,651f453b)
+,S(903ced8f,ec2544b,e207f5c9,e2c7f2bd,91213873,5eebc382,b129e334,7ef25b72,2117ca29,ee13d31,5e89bf33,afa8b7db,ff75c795,6be40c8b,b2e41cd5,943190a6)
+,S(c4d467ef,5149e117,3638a5ad,6fd36373,1c8906f0,80336ca3,3a6bbb99,1a03f33b,ea5b5b24,4c536bcf,ce3d437e,abf2fcec,431ad80c,ff975b63,bf398163,629b5c7)
+,S(16b577a6,5f6d09f7,b23b2b7a,dd80a2f1,cff7a8a6,c36bfcf9,d325e37c,ea37326f,66ba8e2,14674e5e,228a6576,a52a791,84d98be1,db1a2dcb,e9073934,d09f15c1)
+,S(ad4bcaf2,e480adfc,e1e45384,6bd7ddf7,67fceedb,d2bf1f5a,6768531d,9b63412f,51fa0360,47810f59,11b1b3a4,525ee72c,c4c891b7,56737f4a,a61a380,e9e741ac)
+,S(b249eb38,52d2e787,4a52d776,d1bcb399,51ca65de,dd9e9dd5,87d73362,c33b571a,3e260824,14e4ece8,83cd84e,b177096c,62dd7706,a79c31d9,b1103232,53a66258)
+,S(634192c7,696a01ae,81310d3a,59d2c53b,74dd0560,7e3be9db,ccfd1ec4,bde14a65,455b4850,e366e077,d86dcd70,9c787b18,4fd4cce4,4b92954a,dcbe5222,57b0e00f)
+,S(ffbecbf5,d433f80,49e159cc,c14b198a,acc3c5ed,fbb1ace6,fd295dcc,4a2f5099,422e7aba,1ec66cf4,36489acf,9c03ba33,dd68d368,8a48685c,aaa1de52,440be3c0)
+,S(65b4c4dc,1067e823,9cf4f1a9,d0632da,b6a8c83b,509a75ad,8c133dd1,5c1868af,f7cf5d9d,d7654618,5183f8ae,7f42a03,20c67817,9d5226d8,40dac1e5,f94d260e)
+,S(d380ecce,9d603502,d518dbed,405b8d0c,8de48dbb,35d5b559,24c1a560,9bf9c67e,1ae84480,fd18ab10,9eb0ac15,265c609f,8b241b4d,a80b13ae,50c35f8f,db64c128)
+,S(17189d28,b5ce1bbe,d78a1d96,15dd1a50,3fce43f7,19d042df,63484ff4,ce44511c,fbca28f4,7c7b3e39,4121b948,ba561289,85c53298,8db2fbb5,7596a473,a782350d)
+,S(fbe332c2,e2a8b07d,a85ae4e6,1925bf3d,be685e4,fafcdee7,3f558382,80c2e84d,aa917342,5e187da0,e3f8c6d7,79b42cbe,b11c43e0,6b594eb3,e1a5797,ea4e29ca)
+,S(8b9e8a87,8b5e725f,8b4bd518,22e9cd21,2100d1f5,cdaaf210,2d7963b,a0bc834f,331fb31c,c28f56bd,5ff1d6ad,80b65702,b2e873dc,4552c563,bed77a08,cc3ed659)
+,S(97e92411,a3c0bcad,17a798ac,eca61ac2,34e1a68a,b668aa3b,d730cc8e,8de111ca,b0f170a4,bac15e17,2e75fb75,93c21a41,4794976,bafc7eb,7cdc4bf1,6947f48f)
+,S(20358813,33a13c6e,cc8c76f8,2c279577,49aa3c1f,d4d51691,9cd23b25,d044eea8,480afaa4,8c86af0a,ece2f951,7df0f344,259fc4f1,4d9a5c0,ee73c891,780c7f29)
+,S(caa1eccb,1575740a,90155103,9849befe,617579e6,22b7c343,a665beb7,a67dbcff,aa695bf9,f1c972ff,b6fd3451,1bf042d9,1aee5113,9c1ea577,e0bd52e0,a4e0a20b)
+,S(8e7c2ba2,36f7a8e,fdaa212a,7fd6b883,f331049e,6e8f2bbd,138a3adb,c2620719,bd03702f,1434fb3f,5846c4e2,e779f8c0,d9b6e031,1feced02,20a618f8,2eec105c)
+,S(e07dc033,6dcd04c1,fcfebf09,40c07783,88fbad11,8e4eb3b2,4dd637c7,baace975,b13bd0a0,e5eecb0,762ccf31,1bd53156,ef6f9268,50044195,10d6616a,b32a2c2c)
+,S(6606c825,2679af01,9d8a904,4db0b28c,95aba791,d1c33072,97afa2df,bb8ce0cb,7505e59c,a9807993,5710de77,747868fb,10fe6c57,36ba2054,6477cac8,8e1d3cc)
+,S(9fbf4cdc,ec48226c,b45450f,b0de5dae,2b31f935,2b99e0b5,22ab9935,1de6f061,f2e4d0a2,3da020e8,60a0d58a,2362b7dc,e9c5b646,7034ec91,a7dfa601,1ef850dd)
+,S(e06d697,5195ffc2,988b0403,e977d32c,b7cc8167,e800db1b,976f6186,286916bc,8015370a,27d3d221,7af80e04,a49003ea,68302bb,c1a5c83,63244c0b,c30bb8bb)
+,S(adcd67ab,21d2aac,65112fd4,e6e16cd7,ff792577,e9785a6b,cf4a3f0a,9293a6e2,6527b620,29062aaa,5058608,f5cc3bad,8e4f40d4,9b5be93d,faa5c2b,57fd7fb8)
+,S(1d9069ea,b43a64cb,1187e963,d96809b3,5a447317,68910e13,3e0bf7a2,e1f2bd38,ab03dede,854b8fe9,4ad2f9a6,8ef5415c,fc78c28f,a4ec33bb,f15df31a,91e29108)
+,S(f1f6b776,b8ec892f,148168ae,8ce83f4b,603206f7,2a38140e,3a422e67,a20a768,892ba036,3413da21,17d9b11a,7bb25cd9,e7136a7d,82a7f45d,14abfcb2,b9bff25a)
+,S(a884f94a,ce79f4cd,f3a8d1b,f8a2dc3b,c21d1c23,433a7fb0,401c5df,1efab379,5f53356c,6e45248c,ec282fbe,ef03ddf7,c611affa,5d0d3082,dd630f80,dea05c96)
+,S(b1988430,197a8800,e1016564,b48d4f7,1fb2be08,35e9efe9,81a80f10,e61da9ff,d5c7864d,ea7d12d2,5be7ace5,86e141a0,e515a41,5ec70bdf,44a68d8e,4dd849b9)
+,S(15b73aa7,529d5b84,bd5c1db8,2b6c93aa,46985aae,942f6d4d,1094434e,d27fedb,297e32a2,bc8ad13c,42011259,b1ca3d40,632ac6de,f2fca262,75dabc8,ee721f89)
+,S(339a76e0,443c1fb1,65992630,116e523f,8e35cc7a,16cd0f3f,57f7782c,7d97d40f,8990652e,fecd784c,33e75620,13b52e6f,914f0f6b,c413aa22,9e5bd773,cdfe9659)
+,S(bef26cff,fb80ddab,9458312e,9b09044b,b1c535e1,84f4e51b,f64b5183,b67adfef,3818929a,ef076a83,58f20518,c5b310f5,2c6943f2,1675bbb5,ba1bde45,9d37490b)
+,S(cdc56c81,8dafc273,4f4dae10,84f91b08,3dd40d86,23125894,c71d9243,8b2427e,f4b309d,e9c828b5,44542569,45579f91,b4376935,3f586c71,f07107f0,1f503cca)
+,S(3ddefe81,b1f38479,ec9be80a,1961c5fb,a09312a6,2a775911,cd65200e,7d75bc6d,75d83edd,1eb9b479,4effae4e,ba8007d2,7c7e2d51,a9e95d3,a1e58358,56df055d)
+,S(da7c6776,99032cbc,4c2bae12,59212cf2,a18879d2,63aaf99e,76339041,10576826,2e7a6d88,360ac45b,9871f779,9e80698e,4314cc3c,3f1cb1d0,c07ae9f3,38553f08)
+,S(2611b435,e0bc20c5,88cfaa80,17f4555a,b8aba4c4,ae1c0385,9dfaa911,aa80d927,eb58f81a,e51dc504,465ff8c1,c0529fac,e47549d2,429e5b41,7ce0cad3,7d4508d4)
+,S(b0fbe548,36f07c4a,a715aa08,806b71d6,b8f4c09,6945a7bc,3defec7b,67962961,cc60a224,66e7744d,c58668f,ede30ca2,1c1749b0,45ee50de,2a881a53,83e5abe0)
+,S(1a03336f,dc51ee75,facb7688,b4603c86,77d371eb,5ededa9e,b50bb49e,c9020581,3fcf1b03,9c0edf8,99855fc3,6acfdbc7,bd507145,9be7e18c,e9f715e4,98daa7d7)
+,S(763a1215,c8349155,aa849b20,f2f68a36,cf72892,49e4d3c3,810ee72f,78c159ed,37826a1c,cf30e1ed,a1795fba,d1f2f227,7b68d5c6,9ffd390b,d7dde5e6,58482684)
+,S(7fc7b4c2,30183e37,dce0a586,a6f0188c,f7e664d8,5fa05eff,63f2c27d,cada4edd,fd7a780e,6ea89a06,f0649343,abe7bcf,6338d2fa,fe457f50,ac415c91,2bed6a8f)
+,S(222807c9,b0686f55,d9eb7d7,412588f,dc543bfc,f016c8d7,74726135,dc65ddd8,b9670902,456c22ef,cb36d155,319393da,9a34b2b4,301c898b,43d957b0,a56cc2ab)
+,S(79d8eb36,98d8d06e,6ca33f69,ca04d3c6,db636346,abfd603,ed0189f0,fc5fda77,bffc97e1,1b0234a9,8dd1d460,e19db522,931fd49e,26d7ab28,f1326517,23d955f1)
+,S(a2366618,8e72e1b6,d5ab7713,decf6e3,1f801a6a,ac88ddc5,d464d127,ebadd34b,ef23da36,f3e71913,2774cd1c,d150ffb0,70e99ac8,5193faeb,b1736abe,77d60ed1)
+,S(b6bad04d,dde6816d,9123e8e7,43fa46a5,b1fcbdb3,fa1f13be,480fc1bb,49dd9612,585fae09,a290b273,a68b7f34,645b80b1,850c6507,d959b546,7f1b0100,b6a4e511)
+,S(2bf21c25,3353e715,283113db,8bb5018d,33fcbd58,f3d6face,b491e1d2,f4c3dfbd,e3a033a7,4e8a4d5b,c8c49121,43a47b07,b9fec4d8,a0d5b3ef,569c44c9,cf8d896e)
+,S(64c27a41,e978e35d,63f3a90,e71091f4,41e9ad26,6a05edda,358dddd2,5d842744,fcbb625e,8fda695,988aac9e,cfe67c16,bed76802,3b527d27,521c1339,3dae32d1)
+,S(620a1ef6,fdfe5b5e,9a4ef435,63cd7c8,af62acad,a02fb399,b7542d2b,6481a58d,b0b79e3c,550393a6,fa07f105,c547e203,a45fa7c5,ec825ae5,7bec305a,ddb8054f)
+,S(1523f131,7cef7154,347ef68b,424ee0c6,15e71251,a06bf8a1,ecd74675,307b95cd,c72554cc,1d8ad664,dc1fe67a,3f11e5b4,a55806c5,53dc2612,bf5516ff,f0743b1d)
+,S(d765303c,a9c8794,c00d4d8c,2cd73fcd,b43f763c,b753700,f66d7294,4eea0cfd,bafcaca5,204dd77a,a3a17b73,da3064dc,35b4cd22,ae01a623,781603d2,57bc267b)
+,S(a75eb61a,fafce965,65198759,c25cbc41,ffbbf87b,61839a8e,a17f04ad,64c468b6,99802893,240f48aa,53c49b18,1a6d50e7,a8eba321,64d587b8,41497d9,65869873)
+,S(7fa41b4c,d0bb91b6,c25813c7,1241e691,e7053f7d,beb0bcfa,4084e06b,bce59f2a,a0941779,755a695f,8317e7e2,f6a2c57,9431e22c,4aa09f,7e583b1c,e184aec7)
+,S(816c0db7,2240f12a,d8deb440,8ae2276f,3bfa1bfb,d820bd6f,cc5ccff6,16e4dbf5,2a52c93d,d91ee658,9449dd4b,bf70255e,e57acbd0,a981ac9f,67c16604,3f7e52d0)
+,S(33f635f1,317f1425,51390ac7,346905e0,ddbb3d87,b0c1780f,bb7dc950,c23414f8,7435a155,84eb1988,b974d570,bbc2b2c1,15123580,2bf93bd,b626a543,e54bfbcb)
+,S(d2943ad7,4b0bb03,35307185,fbc438a7,bdfe11e,7b5e0eb3,e94bec46,a251999c,2dca8fcf,19aaa314,ebde41de,fff6e9fc,b6097d6b,3bfec06f,19aa4941,676d577e)
+,S(26aa1fbf,c54375a6,fec54390,b5e44a0c,fb524b65,c10d1516,b0112525,9dfb1da6,49eceaa6,4c575ce,337d0b6,ee7e8198,83973c6f,abfa2f,d4b24e03,99a91b02)
+,S(780aec1a,f866a030,5ca6d7da,1948f2f6,ab18717d,e82300cd,65eb58cf,a7d28d20,da650041,e45a0e1e,a9075b6d,107b6f7a,414b3a02,18aaf929,92cf2978,bc08b91a)
+,S(1dcff259,8e59dd4a,3e515853,b3cc41e5,ef98113f,29ff7b3d,5eed6d50,2cb88b67,d7978630,7c6871e4,5654307a,e3836e07,aed86cbe,a9ab92f2,8c680172,1ab77271)
+,S(b19af4a2,77321937,93e367eb,5ece1c63,8f336f3a,9cdb4b01,e2488ee4,373ff70d,a3ea8839,a5105a2d,4277f27a,26a8ee73,b9e73fcd,d54f641d,c214d5f7,9c821dec)
+,S(1c8c1f29,548a9df6,f28b6126,b9324972,35f24e2d,a488e066,acf782f6,b4f6755e,1a79ab52,6a1e1aec,5ccc7e2a,3196a07e,78108b23,a86630c9,1795ef96,11ff432d)
+,S(b6ff8dda,1ad6c3c2,3c8a10b7,b4313968,e4d70075,12c421d4,f0b1153e,bd5716ce,4d3869c6,b7b74167,ca0d21e4,edb3e01c,af8dbec2,aa87a32d,7c9306f9,a5ce61b8)
+,S(dceff4ac,f61ba84a,81821932,9fa0ad60,ec08cf9d,830e6ccb,375488ce,d0f47b5c,949aece1,92bc61b4,883d5508,aa4a4aa8,fb1b8db0,385613b1,736a6eb5,c137d6f9)
+,S(5561e7a7,b709689c,97c4aa18,9a3ce841,843ccf98,be851c8b,131eeb37,dca5ebef,4b108c17,f298be36,430e6b7f,26b414a2,33b924a6,e65dd5a7,9a1f15b,a99a14da)
+,S(4d989577,89b01595,8e5d5bb,2e064e9d,9c56a254,5b3c8802,7ca0c997,a395a257,aaebaf33,ac950756,c5b200c9,f5b009c4,506964ce,5b706675,7951f221,40b6e0d0)
+,S(82b58e6e,6373c4b,30ad55a9,d66cc804,e9da512f,bf4af668,1246a12f,e33bfc8e,8378122d,98dc1e37,2c33b5c2,1ff4c429,d6d7577d,2ff353d3,87cc0478,1a5ffb38)
+,S(f49fa88a,a773784b,fe57d880,9efac44f,714c3d75,3669463a,d1199be8,2c6cdf3,41aff6c0,2164a411,c8be7281,493483be,aa9855b0,49820772,b96aa39f,9a18b3f4)
+,S(67d485db,ac8445a1,8c1b97a7,8c1852a5,ce910f0,d78b073,969c58ce,c0efd78c,71dda92a,24ff2b31,5fcaa5a8,28bf07d9,596f49b9,cf19f4be,44e6f320,84981e97)
+,S(9145f6f2,c19038c3,cff99883,b5a71760,30a46f7e,8b5d350a,db2a9610,4704d4cd,9d9179e7,852ac5fe,1d4664d5,4d778b3b,6c8e422b,b6e78add,56700dbe,6a22b0bc)
+,S(492d5247,efc2f5f1,1cf3848c,e0719abd,53674089,808de4b3,5503e23f,46b2631b,374b0762,7812c898,7ed68877,c995a4d4,9f021d0b,29270863,d50b8c40,808fd750)
+,S(5b8ddfb8,bb811678,9298d231,72bdb9c5,25c6610b,46187549,a381ca6,17dd1dec,b47d3764,fce3218d,17d0dee0,133d4f3b,c7ae170c,3e8831ce,a92a3531,7b1f7568)
+,S(88db73ba,25a61641,af5e603c,cd54c6d4,63c6feb,da11ec5c,6a35d30f,e406c65,39b06f7b,1c1dd7b7,884c67a,e295f8c0,9b8b5be1,c14456b,4027bf1b,4800a753)
+,S(3495cc9a,a23c1eb4,2cd85070,bb095563,2a7037bd,e330f721,fb38091a,9c382451,7feabb21,6f3982df,74429957,3c7557bf,b82ff4f,462fc64d,d9b3e10f,b69799ef)
+,S(e8a5cea6,970e10c7,93f75666,9d2309b1,a4f7b52,c19db4f1,cd69a652,c445d7a2,daacdabf,bd5259bb,96d2dbf3,668e8c16,fab47624,294d9982,b961f0ea,32402b96)
+,S(6e8c78a,e81a7ade,3989c483,7d9efe50,51af33f2,b2b2ee32,b5700b43,67931f9a,e5664504,751b41a1,45b5412c,be10a782,7d1d5193,30dd69ca,47be2975,2c291d35)
+,S(b8f520a3,10c5b2f,8291722b,1e3a92ec,b9551db7,744dd208,ab4d1709,310a539e,65901c3a,b6712ded,8f66451e,1915113f,a96d3d1e,d9074790,9e291d00,970f3d75)
+,S(a0538458,64459815,888bd917,3a2c16fc,ae0deaa7,cb804adf,e49dec0b,b2d8005a,27882f00,23dcc9fb,890dab73,f98925d3,e712608b,3d6069c8,ca58ca6d,de0d7a67)
+,S(41280416,aa7f0924,1ed8b631,fc2959be,2117cf03,9c12f600,1faf8a05,15222144,c2fef80d,fd8e8433,ee55c363,c43f7e06,613f354e,32aef8e1,808817b1,af7f58e4)
+,S(c4b8ff36,cbf83d10,51d130b7,e3d613b2,8b536f0e,b050a41a,7dd8f8aa,18c7a1ee,87d3c44c,8867337b,466ba76b,47512399,f6cf6c14,ad4977fc,276d67ec,5e7b4d47)
+,S(40eb693a,7cb938e3,a6b85010,6b7cd257,1de630b9,86da02a9,3b7a7f5a,a0a51ac1,27b875e0,14d3417d,cbc3b770,c4cb8805,c7ede7a4,efa9f89f,a51e36c3,af6d8d18)
+,S(f7491902,54e30180,75365d67,5f2ddf24,ac0c9d84,df371fb8,6e94a9bd,7f81dad4,6a271b36,c549080f,dc9bf1b5,ad275d62,68af0cc7,2ec68c7c,17ac24cd,5c5a6e46)
+,S(cf13261d,e4ce19da,14e6996c,97a23f8e,f16388ac,c364f2e3,6a053254,849f287e,5568858d,be1a7447,f7e4ab51,bb872a78,8218c483,c771ab7c,4a0a968,73adac10)
+,S(9c6bda62,9dd087df,d5516606,62226847,94cfd517,72c72a81,7263c761,ad3e8cb3,2c77dc7b,9c7fca7e,bb35628e,d62ffc79,9e5fbcc5,e25bb0be,5b1b67a,10c0eb3)
+,S(d8d1035f,64439dec,20ecc9a5,5b314959,c1526d7b,d15b1922,bb7ab7e5,b9d26bf3,ab7e34d6,ccfdfea3,f607f697,b941bbf7,b922a436,b9cb4314,3eb1b948,ccdbbe30)
+,S(c6f40a23,b8227a60,de32e104,7080f087,7d53aea5,b00a22a9,39cbc228,d1c1d424,e16bc58f,cf4b8c5c,9106f1f4,b8b2374a,63a3136b,e5a8c64d,7fe6bd0b,c1d80345)
+,S(3a69da22,9477d3a5,7147c2de,cce22de1,d1e007cd,61d22509,49400b8f,63a43536,c79c4fd5,c4ba6062,c7cc95e1,c9b79cfa,46b98cd7,389cbc39,25cc2fbe,49a0e284)
+,S(1b5fb8e5,492fc48a,46b7f6fc,a658f218,814c3d82,90aa339b,7bc7b794,325fc9d,a6290b12,4c9e0819,2b6f49f4,c4935b01,d2ca4235,8efea982,1646fbe7,dc7fff39)
+,S(fdba0f02,b004b4ea,dc9e1c37,d1a7fa7e,8a755922,31f054c7,47bbe8ec,349a3845,42da61c9,e96471c2,6fedefd7,e30c43c9,6c3c09d,d72d662a,e2b82022,391646fe)
+,S(c39391bf,cb7b9662,be7279f7,6338988,7c166343,2faf1760,f38f0cb3,a35140df,ea14e034,53dc82cc,484b8b3f,ff79d81b,449f9f81,d7a52d66,4c5b563c,9af556e1)
+,S(254ff13d,c716cb2a,1ac0e36c,c6cb20c4,19aedd0a,2219321,675e1744,859cbcb,2644cf3,916d26af,9e36bfe3,247f5be8,896e02cf,83eb3701,c400ad2b,92e35921)
+,S(24e4aa60,e9b464ad,a2c8974e,98568026,1769d35d,aa7c8c5b,71c9f57,28930474,9df7c2d1,82a94fe0,80a2244b,ccc9406f,6ed37c38,d9cbaaf7,8d973538,e8479f8e)
+,S(7ad9bbad,f906685c,3efd81b3,8599fc02,fb19a4c1,8bff1ef8,702c4f6,d17543a6,9878b970,9c4018a4,f713ac8f,d8a533dc,da45e243,44926df0,133aad64,c5246f95)
+,S(97d8fcd9,383a8717,e0c9eb2d,f7dfbaa8,c6e08339,be5fa2b5,1d12565,62d8ae53,1879ca4c,f5784f86,7f8363e1,5d85afa7,b1f114ca,7f8f474c,4a2c028f,7c6a777)
+,S(3e0fc785,5a08c32e,1e14d1a9,2c56ffac,2af1acef,505ed72c,b8771ddd,8afe7572,6d79b7fc,fd1e8894,f0844fc9,da30b555,bb1768f3,df15a0b5,884e5b09,6e149390)
+,S(d9da17db,b132d864,1da3a9b5,389d6f5e,fda483e7,fc7577ec,55b7ecfb,65602562,80e471e4,5feb0d70,2ee7f9e6,3f8f23b0,33a4f35e,8a0841a7,b67f8c63,c623b70b)
+,S(1848f766,afcd1e34,82935daa,7b71212b,f38e2853,9d6fb9ec,a3d9809b,6fca18f3,ca9a7882,645d54f2,49d35df6,3748ed94,5f9196f4,a93d4b7d,ee70f44d,b6f5884)
+,S(ed3744ae,9a7dac76,5ad65b2d,4fc2d15f,1a9d0047,f72c6be0,a849ca04,497a9f2f,3cf76d2e,d4e5c6f7,e4b23d03,23c477ef,2fdc5248,7066ef36,b763444f,6ab5fb5b)
+,S(c4607b73,edf3545a,b10a3a65,e0312707,91212acc,a86226b7,b1ccfefe,5f3676d7,31ad465b,8595f783,d5c0cd03,6230e3dd,2628ac9c,45dc6d77,28c42093,3d7eb3ec)
+,S(1c0962ed,2aaf69d7,8b20af04,93a3fa50,bfb9ad1b,64eb0699,641e4b0a,bc0e96f0,49f11af6,e088e3a2,a429c5b0,a87a7f6a,591b5a60,a397c123,2d56a4a,adaede44)
+,S(6a0476c,9a41959e,98dc6ca,fb7b4381,82250e1a,ae62445b,1f09a098,ddc19454,56842c97,8ae3c4c9,2c266cd3,7c8e3514,ab4288b9,ccc7e33f,be552ec6,f511c7e1)
+,S(24da0f6,53a30aa0,a6b14999,329f03c6,cdb59a80,e9ca68f6,b9367830,a0191f1c,83e79080,aa78bcf5,b810683a,f061c614,cdbd3b69,9e200b53,d1a2c757,2c138235)
+,S(6c3483,22479d07,f5871901,3264402,a078728f,227c75f,6f33743f,9a1a7764,a377af74,4a125408,6bf128d8,45bda458,be779210,f0d85bff,eb192c0b,a0dcc4c6)
+,S(212aabbb,4d14cb26,b26cf249,882b36e1,1cdc26f4,a1494905,15478f99,d5c43baf,e9140a0a,81d1582b,98eed57d,7ba8e584,11c22ea3,fc265148,ca1d6050,3847e281)
+,S(a27478f1,2afca20a,8d46824e,5b0ba272,f26ee0c4,24a951ed,f371425a,b343b10e,51e74b86,a7fc97aa,5a3bdecb,67818d7a,70ad0ba3,7c7cd759,8ec80a4b,bc4036a3)
+,S(e1c1269a,7171f9eb,a2e2fa7e,8f55e0e2,b9b8a507,e8cdbfe5,716f711a,572e293,41cfa170,8953242,f98d8e24,2e827684,5562c4a7,6d034848,e639335c,32afba46)
+,S(204d544c,19418e19,bb328e1,ecc0fbd8,62f0f78b,24208780,4d5827c0,f5e09efb,c66098e3,1f5d1587,10a3799c,b4f980c0,18cf4ed4,534e49f0,6d057059,93d52fb7)
+,S(16eddf0a,11a6f2f2,df230de2,f78b4cf0,980138b2,3ab196ee,361486c5,7a5172ad,e3db358f,ed8ab3c1,9204a792,6102c420,1327bdb4,fb81718b,b39a0ce2,b5992684)
+,S(7c9f7831,2298d96b,65e6b7c1,2315379,3df7001a,79cb080e,af6829d3,2b8995f1,2037cc3c,90e3a0f1,b242018f,c53cb32e,b2481dd1,bbb700e4,a6019546,edf51e5c)
+,S(129c2d46,1dbeb8f6,c1b913a5,b2d69602,63aee7e9,530c6dee,21168b16,6198fb1c,29ffeeb9,61c027f9,a2a14b72,a287d566,7bbd80bf,7cea0dc1,747ac25f,55137964)
+,S(8be2e565,30d4932e,f6d1f9da,a3225b52,de204927,e0633b12,570a049c,1f6175aa,364b4e87,1a130cd1,40007056,e3c0951f,fabfe4bd,6a687404,23cc1800,505510c8)
+,S(40b43f08,42ae9c67,ab0ceb62,453b4c41,42a6e12e,5f880c5e,27c90997,6252fa6c,6d1ac6c5,de1b2e5b,b225e46f,2c5a2d2c,248f11fe,d123ecca,4432a04b,cea2068f)
+,S(47e2238a,2f34df3,cf1caa55,93c49db5,4c2cba9b,e3724f17,87473a0,5ac669df,4d04cfa2,3ee255f,eca104a3,60a52f7c,acfc6127,608dd908,9399be82,9cf31f3a)
+,S(17286c55,3a45c6da,b4843323,84c565d7,b3de474b,5df8ed60,7c7a5c9e,e1cfc35a,6172d347,75a45151,60b104b2,79543107,5b194d24,793340cf,6d8723c9,6320007f)
+,S(3451af9d,3c1492ca,d090bd34,45632ac5,a3e96c9,4d9ed258,b7fb2042,8dd7bb31,dd493383,21236e06,e7284fd7,84c1a3b0,7687c513,927cc79a,cc5f8b41,b14974d6)
+,S(b00aa481,eccc5e7f,cb5bee2d,a6e0ac44,ed9afa3a,5b2a9619,d23d0252,14e5ce2,687b486,1f0032ce,f42ceb7,441f81fa,10d732a9,e7e76242,4a2ca8fb,e88866a1)
+,S(53ec8e9c,c75bc91f,f248a239,34d735b2,ef706d4,c0761e2f,a8a55c7e,a0b23311,1b11dfc0,63c4b1ed,1b5104e0,15d5c5a8,c352f54b,9fd82768,8b5104f6,45d45919)
+,S(1ecde1b3,9c072c9a,3b3eddd8,d71e3383,2fc80d78,7abb70a4,cdc9186c,a5efab66,4f5aec7,5a799762,b70cecb1,82049cd0,239f0c30,948a25f3,daae0bc,ae6dd626)
+,S(1fe2fc3,702b558c,7ab9b479,fa08efa5,1e90239d,677052e6,5afc8754,9bb1394e,f6b586ae,3a395d3a,c216df2b,66d48fe6,11a64c0c,8a7db26d,30fbd720,c6845c2c)
+,S(b53d0b2f,b8ac2ad5,582ba0c2,f031c7b,76e64cc5,28a5b9ba,872718b1,e06d5dec,8984e589,51ab87aa,64bb034c,17d23252,4101577,9476887b,351f034e,92e3a289)
+,S(54e516,3bc2366,673fe5d8,1f335d81,a06ca310,a2116ea7,bc0ade12,8f37cf95,f471c826,9deb2c2b,f1b7206d,6e817355,9236607a,4b9930b4,c5b3a781,7312bd4a)
+,S(e7efb772,a1d423a2,d39e2224,4c8bab91,3b8087ac,65d51f59,8c4db283,67b29a7b,f2dfb586,31d08b0,bf2b47f4,17f6a18f,704a39a0,a152e3bd,587e45c7,93a9b6e7)
+,S(5ec59daa,e8a263a8,2afb4309,79ef0321,b163f2a,dc083e67,3446b98,d0b519fe,2eab4cc3,6a3deae5,30dc6aab,94e5584f,a8a5316f,5c05b04e,84215ea8,79ef82b9)
+,S(427b5cd9,20589dfb,dae975c8,efc1f098,1119f69,c40d1216,58ccb903,d4bb62f5,d055e6e3,b8794842,4162803c,35fca878,6500b5a3,6871b18,d9846866,56d1213d)
+,S(54954b15,fc594f3d,8f422c7,9dd42cb8,2cc30dd8,c0d10736,554844ef,9d05bcad,86a7cc65,73569c20,2aff8e04,21a00e4a,9c6b88f5,ebcc3975,64b4734c,f735373a)
+,S(ff6f8f8d,23670fbf,2a1aa7b3,39568653,573eb480,67a2a1f0,1b55a1e6,b1f32559,7a53f1a6,c7cabc57,d731552f,9fd9447,36cd33f4,3f8f57cd,2d4ac1dc,1ac7e218)
+,S(74d725e9,9021c210,e82d852f,41e0cb8a,3bba8efb,8a01552b,8420c265,958a2381,4ee69646,aa9f70bb,883d6ca4,e1016dd9,92f18de6,26ca27c,aeb5854,f5bb2bb0)
+,S(e9439f7e,fc0342c9,c2d68fbb,c58d85d9,feca0570,d77448d7,6d3c3251,e49c845b,27da0d98,1b7e257a,eee90b45,9d0d7065,566667e7,a9287592,2031be02,3e233916)
+,S(9684a48d,81a60856,6dd26622,b3ffd133,5facb32,9f2c4f1e,2c055cb0,a5c0b911,92038ad2,50adfbaa,5d587c31,f5e7b4e7,294bbd25,e7af1816,1be3532b,f24e68b2)
+,S(1d003af9,469e26e,c7f0f121,4dc58728,9e4cf837,5f9d19b4,16277c97,1a0e7609,99c7c3a5,30822c72,b31dad8,146d2604,ed795f1a,7c37e139,c84afe9e,f71e5123)
+,S(f96468f8,73cfaab7,76c32fa5,89f72c09,d680abf,c601642d,1c649ca,e197a149,1ffb4bc4,8495d31,b24a7ff3,353857e3,b6708186,c18936e9,9793e4d4,fa083b1d)
+,S(b6ad4106,e30294d2,bcac86a2,131150bf,d93c14f6,51ec65f5,32904412,b3f89d32,19a366a6,74279641,d055201c,c4c42b43,4fa40792,90c1c3ee,5db2a4e6,38d228ce)
+,S(875472f7,190bf305,9120fec3,ebb69fb2,2d47828,6cb1c108,a977e7cf,e45b9b9a,1adeffc5,f5dc59ad,e15d163a,95f8049f,a172d8e,30544562,50a7898,55a97c21)
+,S(5445a9fa,f4245414,e64f7ae2,a1cb1b1f,54bb6fd5,af4a7407,4d9eeb05,9a27a670,496c5207,7da2e082,3e48978c,a3fb7a1d,3bdf07ea,61fde94c,e87741c4,e9418018)
+,S(dae18625,704bac88,51f35026,7856830f,74d3a8f9,7c1f662b,f4c4cc3d,7814d138,abc059fd,7ba90619,83988ee6,35ec835f,c20f62fb,c68e2bff,373bda91,3be6f87)
+,S(8a088f12,e8523de5,c7ce659c,107e1929,3d009b81,1fe94d02,deeca893,9d9845c9,4251212a,fb8ebb76,5d2d703c,bc18b208,41f8df47,fc5e44ba,ef7b0f76,7e29114a)
+,S(d78f46a8,8f3b08d1,334ed25c,78f57910,716755cf,2bceaf6e,c25b52e4,d7af6d01,eb1855f2,29cb2010,f20b3f01,9cbf1b2d,929046d3,242446ee,5c9526ef,5b06f44d)
+,S(1e0b4312,78ae0e27,5e55c4ca,cfefcdd6,f589809c,6faaefa8,3ec0d5c5,f99b034b,f38c53c5,544d3ab4,2ebd74ed,b8348503,fb523fae,9d73657,8bba2881,904918a7)
+,S(f03155b2,9edb119c,f411f14,4a588f34,ab02d7f7,c415638,cd534465,ed7cbbd1,72d153e3,ff4fff14,b41d07cd,31960565,31736749,7f9c6495,599d3f06,b8e85813)
+,S(f61fd68,3edc7fb4,d14c84fe,3416654b,8df66578,6d0bab41,53a96e39,e5de4c8e,952db567,cf0913b1,885d6884,d260fe4e,e11fc139,f58da12f,d38472e3,d42e5f92)
+,S(78310e7a,29e437b2,5cb00e3b,13a4d86e,1ede6d8,4b1f344d,7ee9c7f7,e017dd77,26ff358a,4d5629e0,4c20f700,97c202d4,7030bd3f,43134a51,a7d101b6,e182f2d2)
+,S(63ae8c4d,6b7329cb,a61509c2,d0b61ebf,4e6ac94b,c8a096b9,7a4027e1,1f781a3a,a8e954cf,bf407857,d19629cb,338a93a1,af16c929,ef8b96ce,2e483e95,dcd14f88)
+,S(948d592a,594b354e,e2d03961,6338574c,ae662f26,ff79afa9,16579725,7cca739,37ff98e2,5ea0396e,89d3992f,773bd6d5,ce02758a,4ee25557,edc867b,2f1876c)
+,S(653cf16f,a3140368,50b04de1,8bfee880,660a4161,4dc67a55,398e2d34,46100f45,acaaaede,5ff1e552,6766741a,ee43105b,ea4d3419,3e615c36,49c1db35,125a9202)
+,S(46fb6882,8a5edc8b,f24fd1ee,e6a7789,141e1888,64508d2a,f3c511ff,8e8cc782,9d4ae53f,d52ce9bd,6ac9ff4a,e82c2e36,f4d26698,47ec90cf,ef383e01,37fd8887)
+,S(5f11a0c7,23ea2a71,7c1face2,b4b0f28a,4ca44208,7a2ae0ea,e24c2005,7138c0ed,5ecaec84,ad97612f,ba7925dd,f126e4e6,3906eacf,6f991d5,bb273316,b80c8452)
+,S(b9f49e1c,929bef7a,6d6b6b3b,deb10890,dbf2ba3b,3eba62c0,320bdc84,c2a9039f,98729e76,7e4f8b7b,bd0ecc1c,534aa030,6e1b684c,6f42d15c,2bf6820c,b501e558)
+,S(ec8a102,e7d2905f,f273eea7,6c9a4608,965dc2b0,3631d2dc,63c38e72,15ade2c3,d8c899e7,242d96cb,49383686,8f671612,706ffe5c,368ccb6d,be5a3edc,f74371c0)
+,S(107f02b3,c351805a,6c92a3c7,742a5259,582c5b0,39cf6daf,cdace604,2be236c6,517236bf,1ab47601,57d74685,8dc724a7,c5c2d55e,82c4a3e,685f389c,a99bfb9f)
+,S(f0fb14a1,a5c1c016,d7b8c1fe,a8317872,b10d637a,daf6f6cf,b9860653,56298971,e1d9ed14,d33e65d,4258e87c,7280001c,c40b89ff,b3164337,92fbc547,964540d1)
+,S(a5371adb,ea784ede,f6cce83c,ebde068,78a1c80a,ff83b47a,333f9b35,44489459,f5780572,127f5d74,773acbe7,b2a22cbc,7e3d09bc,ccd13edd,48ece3f2,c8129224)
+,S(3c031e5e,1b0ba576,13c10971,5fa7d92e,2bbbb817,9603d3b9,99e4fadf,be17300d,d275a3fb,392036dd,474e65a2,cd7b6cc4,79cb40d7,1c363e6b,bf9c272e,ae9c83f3)
+,S(87b5899e,685db530,a0969a68,9392080d,f8a1b9ae,523ce18b,2171c69c,5a5318f,6ae3204,e3f0afa5,a2d40b01,a42e84d1,1b1166fa,f99cec08,1f5af48f,fda775d4)
+,S(d9f077dd,c002c16d,f9d8eedb,56b7e7b1,ea00d04e,3fe838dd,2ae40501,9b8bf74,6518d51e,503118e2,53cfc486,f70cb9ee,11c27302,ee5512f2,78f21265,af3ffeaf)
+,S(9c09ab63,8d15acc9,609ce305,32277f63,7558a492,aefb98e,c9bc721c,f8921af7,b2cac58d,535abc10,8bed6ab3,165225f1,bf2f84a,9fbdf3d9,1caa4b79,e0f6fc)
+,S(6ed1ef8b,4c2d9232,5cf8948a,5c369a24,52ab250d,ed0e48ae,1676dc73,9a8a7fc0,c1b7a08c,2cfe5154,fca74136,863da75a,5c6423bc,1c904585,f54ac87e,f6742008)
+,S(882e8d70,154b7f6c,279f71c1,e2ba6087,cfc458a9,3079d8f1,3fbd3be2,506928d1,8949b22e,97c41872,9094ac62,e67ac1f2,8b31565,edbb3d1d,9b23a73a,6fe64131)
+,S(708472a0,24c86ea0,7119d0af,b2509814,516840e9,fc23246a,a6da139f,b37aba52,9809b7a5,1d551532,a5b378d6,594a3665,3a8b057b,80cd530d,b7a53fbb,128fe5ac)
+,S(3a44fad5,9a8b708,4ada1250,d8d08353,769d573d,71a225eb,d87a8cc3,af9fac3e,f29f4551,1250d0d0,a1974bf8,46124813,f9186e45,2d3c5c85,cb0c69fb,4b7f20cd)
+,S(a3519dd8,e09e1bd4,160564c0,41c23362,36ba4c84,5899f90a,fcc370b3,cdfb9f30,64cff159,7c910711,d0199faa,6c74d08e,7150088e,34fce674,72dd3ec6,1b881d7e)
+,S(5af16ce3,765f5c96,4eb3513f,19d99ff2,bea1affa,d68f829,1c4f0767,5cfcf1dc,864eb5,3bd711ed,4a842db6,b0164a78,511ff7b8,a87aa3dc,1f2402eb,a3815daa)
+,S(1ff9a522,19cae5c2,5de1ec08,2641040,18848bd1,37a5949b,4021c2d0,563d54a8,546d634c,122276e1,b5cfb919,a5374309,8f85d7dc,149b14d4,791c83b0,1718e031)
+,S(d7a6dcad,72a51ed8,f84926eb,cfab368c,7f02fcdc,aa66482a,c6b6dd6f,43d3e938,9a273cd6,3ea6ac86,5a68f378,e4466ae9,8598a058,6c97278,bde63b22,14e41c96)
+,S(154f63e5,5bdccc7d,a696dfb5,2b6cd4c6,3c874b93,1f221282,3f4a8d19,1f32d797,e98f9722,17bca1c8,ea7269b0,d2aa6bc6,f0f29d7d,b340c67a,2df59135,77f76fae)
+,S(f6ade08b,8513615c,ccd29095,c21bbdea,dbdbb7da,87ce9991,c27ec758,4c399bf1,98c81be0,19fccaba,131af074,b28a6311,3fc1c5ca,1318e96a,f037ad33,8f234ad1)
+,S(9661cec0,3b2715f6,c6d29048,65fec2bc,b786b3f6,943a883a,3e51cb2c,c747637e,eaa1f7d9,9b34104b,74a8056a,9ec739f,cb9c3735,95f0b254,7fe75620,4f5358bf)
+,S(e0a5323a,27d608c7,34c03465,f03705c3,480520cc,f5ac777f,53d498b4,655d19a1,1f727d78,a8b8c562,ebc60679,8462975f,63d88eb5,8e7cbaee,836bd629,260cc606)
+,S(bab82efd,4646f2,f281980d,5250c6af,8206e95,dece4118,c24ce31d,282f6409,2a60b1dc,26a20126,8df8375a,5656c55f,cafbdbbb,46b7977d,137cd584,8d1fb82a)
+,S(389e1399,ebbe958b,1806e9b3,ee51baef,2d7edd20,79e6a2c2,21e814ad,e1eb2631,6c158633,1f3cfe45,9e71fb4d,112a624c,e48adabd,435e6fd5,2c9459f6,ce9ae2be)
+,S(b78179ca,c0dc553d,19f08174,7fa4511d,87d8961,1ba44045,8c307727,729d4515,7020be98,c496a50,6e4caa5a,94577d71,ce0a80c9,bb974c97,a6892351,e83e0de2)
+,S(867ecd3d,d170f9a7,123d13fc,fd90058e,baa6a6f4,12ecadc9,f1e14d55,ff104306,3c0db3e1,bb91ee23,8fb27689,79f2b543,d698c5e2,fde48dc9,e2535e4a,946759bb)
+,S(be71654c,26a1025d,41fd4d08,384b2ccb,db25bb2b,c15704e5,697be2f6,d4eecd38,316ed20f,c37a2dc7,a0af8d18,e4da0efd,2dcdaee4,44b2c1df,cdfaf6af,49406afa)
+,S(5a8e1cb0,24d62685,e755b9a2,ad1e0165,41690544,7963dfda,6b6deba9,76e9079c,4c793173,743330de,7a8f4351,68dde95e,3889db2a,91de0a27,d088a222,f11ebba7)
+,S(3bfad00b,2347bd0c,f13a761a,d0630453,bb884d0f,ae3d31f8,57216412,b82e6131,ef33c560,94157fec,3f7fe8e6,36d48183,71e3cbab,6f5b0518,96ebdb42,aa545f61)
+,S(2447ede,684dce09,c896c2d2,b5c68cb7,60e02635,3b4f2dc7,428191ef,5d2c1961,ad38a82f,e80f860b,62b39e55,44438242,5ad6cb54,d6e7f377,62427f30,1ef7bfcb)
+,S(a5eae321,eeb4b9f8,e8807e49,ba8de764,e7685f07,417c5239,9d857d4,8bcf985d,2acf8aa9,f5c1b7d3,2ad5f523,39e65595,17881d,48a7696e,ed3b1023,ab4def1d)
+,S(97de995c,5337d938,3cca5b97,3ab05e8f,dc035e11,5c435251,7e575a,e890b13c,4fb2d969,2e308a29,34c3fb4d,c4dcef50,9202505b,cd891f79,e8f91210,e069e6dd)
+,S(b8caf25f,a864918a,f803dad8,d0abdf95,25b70f44,546b1f3c,c6b1726c,4438f479,7c51b5fa,c0f56eb3,6ffa8c5a,76c074a,c30e2f36,b069ed79,23663da,c9c05c9)
+,S(b5bc868c,1b96e2a1,b24f3001,af140107,b2cade8a,5b1f3443,44521764,ad07b2e6,8d6cfe29,4e929f33,d5aaa456,f545c33b,672a8c07,b214a6f2,38bba367,4938d639)
+,S(5f51587c,242a3b22,10db666b,f2414c28,32ea2662,1f13f6e9,784a8a1,373ff602,2c3b260f,ebf20a4e,b853950f,99ccbb9f,1b39418a,66adb427,f5886944,8b46c858)
+,S(1d0be0f9,5009a2b5,12a52e17,e044f3f7,4f08e695,60d0dfeb,822b4674,7a2bcfde,c3a82bc3,dbd81877,3783181c,f7b81ddb,a742c3b2,4f866538,9335ce4d,8f3a159b)
+,S(3ef0ec28,b8003331,a6621bcd,6ce30ed2,9e0e62d5,b492592c,cecaf4bc,8d22fb8a,fe2c84ad,77d40e86,c92a03da,e43cc7f7,512fd363,98db0133,7d929ba7,a144b16d)
+,S(84c29a24,a4ec04da,c76bef42,732a3648,f62f12b0,e7f0ead3,2ef9649,b7555fc5,e7620ebb,283a54a7,10eb454c,f22e49fb,929ec453,38e457ec,b18a7f0a,794f970e)
+,S(6bba6634,e75d5fe9,21f40f4e,5f1c177b,a309cd73,107f1e9,28331573,eacf43a8,33ffe08c,42168243,1f086b44,12209c56,5b47fdea,54671a97,9d86be36,fb421582)
+,S(13b67af0,51b0c01b,c49a6046,d9e5b6ea,488f6298,9559dbfa,47cf1674,6def0150,d0e8914b,1c1bf0b,5337cc35,d84acacb,a54add59,2321509e,e29f1d93,a0237608)
+,S(161221bf,b5dcb62a,ebeabc94,6ccc4a26,fdf779cb,63640720,2c5cf13e,93af9300,d3fde2c5,dd9d6df8,70a66bd3,2b5213c,d1a212db,61aec7b7,2a49b7e9,2cf83b2c)
+,S(30c5360c,c62f5846,3af60277,2b52201,7eda1fbf,866dc3d3,9a590bf8,e2eb508b,c8e91af5,9b9a2b,8837dbe8,edeac615,6c30e8c0,1b7679f0,1aab4a81,cac44efe)
+,S(c0659a7f,dd9151f5,ea67f38b,7249727e,640364f0,87371007,a38b800b,ec3576,a6f648cb,6fa131c3,5458b5a7,77440361,8c57faae,1ca33ded,648f1601,a5cf47e3)
+,S(3215224d,b795a892,446472a,8e1ab1cb,7d50fe95,a6844be,43e2787f,2679386,25750662,97f28d86,690c7eb5,92cffc5f,faba831b,efc3e38c,c5e501f9,358a9bf0)
+,S(257654e2,a87a7048,3bd15445,da5c554f,fe776264,998975b3,b19a68a1,a1871145,fcb9319d,c67f14f,9d7fc4ee,fca05b18,9efe2430,96691043,9c28c88d,32636ec5)
+,S(a4786a01,e504f154,f3d7926e,6e6908a8,17c8a66d,6db33e80,ce98b17,82f1b49,576e4d42,fc2e4f9f,e81a2967,8b7cfa7a,7f86e8e2,662afbfd,b028612,d323a2fc)
+,S(5140f7a9,260c9856,4493ae62,a8af369c,90b484f7,e82e1e38,3c5a59a6,62db1e71,4e5172c2,b0879dfb,63a6aa92,cebf9153,94ddcdc0,985261fe,2f64714d,350bae86)
+,S(f559d60c,f0f50b7,9c7d6d90,18a579d7,b781fe13,5210d342,31e6cf32,4ca66dfc,12d9ceae,8e5852a5,ca95fb56,abda8e42,5f1f05dc,ca29e08e,2052bab0,8d4eed15)
+,S(88907ff5,fa2d01b,c970e0be,53a05354,a4fb73df,9a337857,cc869a1,b0547e7c,f5853b56,cc1211b6,427145f2,6fca6aaa,5b26401b,c00db73d,ab9157b9,7fa3d2f5)
+,S(cc1e4bf6,4541506d,8e91fba3,1e1d8ffb,c8ac82f2,4def27ec,fe4b3ea6,e58c45ca,7617497d,a875183c,684585a6,306956d,1efcf1db,2753fb77,5902a63f,38d27592)
+,S(7ee2c437,ef744210,5b6a6f9e,f1edde01,6c39557c,93454dd4,eca10daa,cbca99d5,21754734,5eeff5d9,f30503f6,9515da57,3e6d7b70,dbdee5b1,8274968f,6f3772d6)
+,S(72feea2,39f9b4a9,a3f3af3e,f6bf420c,3605ba4b,b42da90f,6539e05e,33e2465c,a036ff,df7adedd,c8c2ad9a,d029428c,85482cd1,6b0cd20a,36d2aed9,e9f553cc)
+,S(363da33e,94a0dd00,669b627c,4d7a3a6f,c8a0cbae,2641707c,938c8f5e,99914a,9bda9a77,ef1307a4,e236099,c1506f47,a2f936dc,d478b59c,3d0e98c0,7af58bd9)
+,S(76540864,c8394290,9af4a48b,bbe05fdf,93af0f8d,1ec9b6e1,a7e91860,f2c133fe,f06923d7,738ceb02,2213a236,daf3d6f1,b3cc98f5,a5ed4845,83ce5c3e,54a3ecc2)
+,S(573f0821,7a318a9f,8bd945c1,62e9a4a2,51e38189,34709606,c94cb401,f2b239c4,7e78e4f2,7de69e4b,948b105f,ec3ebd14,496cc128,d7c73fbe,7ca1d53a,b746bef5)
+,S(8537981,89234b93,b5009656,f57e5ed6,f90d2184,819a5467,213a934e,22b01f5f,c94a79e8,cc990998,e1c69bbe,89ccefa2,9281fc0e,c99fa820,ed26f01f,62e475f8)
+,S(53388512,29890336,3b1ccd4c,1cf0ed85,6f00a30c,78004512,57f6132c,edeb6041,d56e2a52,f856d1b9,a4f8feac,dbc9a844,dd22f55,469bf722,fd78b44b,6983334e)
+,S(41ede48a,750ef7b6,5c49f913,afb98961,c5cb478c,39c4c85,2f33aaae,b0e4796d,d74c7bf9,4b6c4680,18892ea7,f04b53c9,4bdfe9c,d1a4c65b,8de2409c,32559de4)
+,S(97e931f3,6596f736,992eece4,eed6a9df,fe762139,3acffeef,b6dd3b53,e5f08148,3da89933,53b9c52a,9e76ce7,7404fba4,39a24614,b62d42c0,9b660e2a,14dd5f1b)
+,S(4caf4eea,3ca8b104,39847633,5252b37b,5c55b664,cc4979a5,4db00937,b222579d,c266732,a93bdc0,7cf88580,771d58a3,45a19100,4c0d1464,62171cd6,291607bb)
+,S(857c1e90,5b3483c3,3ab24ee4,e51e3839,b52960f8,21a8706b,b7ea7c84,9e7b1ca4,8d6e9d0c,7a578771,b358380c,4a2e6bc5,1c6b09fd,e9b40c01,be5915ba,fe69dd80)
+,S(410ef70b,e0dbf7ad,a68fc124,8dcba3cb,10ec39a4,9686b22c,1e7ed2c1,bcb5a182,d26e9ea3,331a56f5,cef074ae,e0b4a5c0,e6925d79,808ffdb3,b7cb9423,247f9e94)
+,S(8caf87a8,c831eb10,817e5ec3,7aa431a,89dff6f9,a7e63f7a,30710419,5751029f,3f0bd6e1,c8dda6c3,c8e65ba0,7c3a4649,13aad207,3c5da058,bfe90872,67c8890a)
+,S(eedee2cf,e92d2483,54a6a8a3,9d314fb1,b35ca18b,ffb9b779,8c16d5fa,fef10e8e,cb515ab0,21f0befe,4b31181f,3f9ce1dc,9fcd12c9,6793d624,c1eb35aa,e514c4c3)
+,S(8cbf7ac7,1e77b7f7,7bad6a4e,9116db52,48bb2a75,744d4312,f02eecaf,2aebcee1,765c4b31,f67b26b5,3d17f97c,30d09636,b6f6697f,db6b799,169a2c05,779b7320)
+,S(70cd45b4,cd449aaf,34ff0627,f0e01122,715dc6cb,98642dfc,c19fc672,54995db2,82e59456,761497b1,84320eac,3ada16c6,ee184ad9,10b60c41,20f0c538,2f535c8e)
+,S(cfe217f9,783fcfd9,1e79d558,e37bec3f,50e5146,e0f442ea,702fdfb,6c7c45d5,537cbd0e,86453fbf,c57d70d8,78c7c3ac,da225186,17bb4dfc,7b6f7079,95c419d5)
+,S(9826c0df,6486bb8e,2bf3d4f7,4cfafa71,ccabd2cb,12bf317e,651790f,48579d52,3dbf3586,f86d6253,d3749c05,2fc36d16,ae3bb457,8d4eeda7,34f172dd,b9c57342)
+,S(ea18fcef,381b4bc2,c6b3fa3e,3744e9c4,a13e13df,576c8e74,d0f4f596,e28a02c4,c3e6bf9d,2bc445d7,87103c7f,e595a30a,41c9aa4,c41d1874,d7ffe69f,ee09f397)
+,S(6de2c465,c09d5a54,61c618be,c9c16ffa,21b82e5d,673033a0,e88cf90c,fe6d8f4a,367acbd2,8950882b,428a8199,d3b21f5b,e1c4ccb0,3280bf5d,28b65cf2,bc4ee2ba)
+,S(d6286e13,ee10c7d4,5ae50f80,3d1a5417,cecc9c68,9efd2847,6ffa73f,1a183f4e,7ab92bb7,55204e89,c7e3ca41,1c829e41,e965ab93,57db88ad,37f13e93,6aa56f56)
+,S(7526e6fa,ea67460a,25525962,fdb6f209,73f0c861,ef3c364d,fce83df7,23c3bf58,2c76a8e0,d5a8611b,d3274411,cb323751,25a21fac,12e35ae8,f008f48c,18e3a674)
+,S(fccaaada,56d64a3d,6d1d5d89,719f51f6,e737c803,893e8b2a,b785070f,8879308d,8262c566,3facf792,efd750ef,a969fab9,a2ee95d3,fe6e7d7d,8685c6a8,479362d1)
+,S(b60d13b8,eb8a5f43,cc448379,7a397847,bd6d91a8,b3a6888a,fef4b115,59b57fe3,abf73ebe,5d2b8585,76104acb,ec885f1f,8405b053,3755b8ae,94ecf838,60ebaa54)
+,S(332d4b0f,4a0dd872,ffd6d2c1,4379f925,4250fd66,dfaa2d90,127e6ce8,c377f8be,37f3143,47c2350b,f4333d7d,9e0b17eb,110dfacd,d87ce354,b7887cf3,1bc6232b)
+,S(e99b2ee6,2ce6d633,1e0e880,37bd138e,5d021620,b555b94e,52def87b,4cc5788f,c9ea06fe,dabcca9f,6df1df26,8bb3e550,e2858dc2,b91a7c6d,2c048416,4e5546bc)
+,S(89ead438,2a977aee,7fe692a1,d7199bdc,5af24191,e80573b1,dfb056dc,49c54353,b572ddce,db2d776c,2a967f70,6b7010ad,7fec43b,ebe5f19c,2de0f9af,d9994ece)
+,S(cdad98e,529b413f,b46f6fa,98c74058,4777baff,b090d488,59587b4e,d598268f,d405a95e,543e639,470f10db,821f8786,ceabc281,788b0cac,3efee830,bfed034e)
+,S(5096ef41,1cc1332b,e67f69ad,3cc3140a,c269849d,5e0f4f5b,e41290e4,86ee2cc3,7f33869f,ccd4b06b,ed61f312,30a7b3f1,49ef34a6,f2d46bb4,18c45343,73f8268a)
+,S(bc0bea70,a0966734,8607253a,2c8be987,8c4d59ed,638ecdbb,8b9f60e2,a4a5be61,e19111ac,3c2b4e0b,4a86129,e6c4c275,54d1ff0,29ddf320,873e20cd,16873b78)
+,S(2d166569,ac8f5a08,e0674d3,8aa7d747,b024bb8a,5c8407a7,dc451403,87223ec1,48af1b38,62216a5f,12a7d92d,4eec4e59,445c1587,e22238f7,3dd1bd77,e19a597a)
+,S(b8cbcfae,bb8b1150,ddce37b3,26ec77b5,2947cddf,e3cf1d40,f27e8b7f,8145ba30,d5234cab,8b2ad2dc,8630ec02,2868a1e8,ffc2c3fb,cd5f5a05,62b6fddb,34823ca4)
+,S(fb396092,563f12f4,ddddb9c0,f1ac19d9,fb2e3ebe,608eea22,7a9aaec6,dc960ee7,65e565df,fda1a394,3d27f661,c2eb01e9,646e88bb,6943953,58c9e62e,c9823c45)
+,S(1c6e9d76,b8dcdfa,90625150,db2274b2,f8da06ee,21000225,80affa54,a414b297,706b450d,9ab0b0,5466edcb,bbed8b10,85679fb9,78d74057,607bc2ef,a5666255)
+,S(2e043dc1,46ecff0e,6e566b13,d985cecb,77f55a0d,555e0277,dc660351,b9fca1c3,1c4f1ca,f75ceaf0,a051103b,90a7abf,665da500,2aac4e14,28a71e45,726d8398)
+,S(5ae17b0c,a1bf8e90,e663ee12,d97d7855,9549f9ee,2d89592c,b4b0bc9a,585f482f,bb0df734,931700bc,73c6966c,1e8e5a77,a71806ad,88d731c7,16f236bc,b4fc8111)
+,S(fa8bf342,6a24c3e5,d3c11c46,e75eda94,fca910df,c906a71c,1b08f468,a7caafc4,ca69817c,db07fbd9,e35e6c84,65b3cf05,4e2884f9,e57c0043,5dcada4c,2f5954e2)
+,S(2cdff1c1,846dd7f7,b9df67ae,a3f4394d,1e1031b5,de7083cb,f905afb,991a88a4,4bbd724f,3827e42b,7d0530fe,de304711,6ea0d88f,8e564d3b,507ff3e2,ef76f39e)
+,S(6fadbc00,55ca49ec,afdf82b2,96504f89,c5bb8291,ca942df9,5f5b3322,9d3b6905,f7671184,33a8326,a56f9472,8c411917,911a3053,f593e868,c06f57ef,54b7df62)
+,S(c514695a,2f26aa40,dceb15f5,5d5ea8d2,6f4a1e06,12591fca,2f5a00e4,b8dd0841,5056ba08,2e78b06a,90937567,73fc4ef1,652905b1,16d8fa6e,8005283a,b113266c)
+,S(83dcb8d4,93474f85,54c368dd,3e188c11,aad758ee,fdd1f064,66c11e16,cb7ff933,104e5b3d,4e57192,7c67a029,e119e79f,d6ed6fb,e61e288,e9f8bd84,630a53c7)
+,S(bc65cf8a,cf9a0b26,43b69089,565f9a9,5f9ae882,2e2b1127,a8bcabb1,fcc8a93f,fdf9716b,a31ddd06,a080ac90,f6699b78,23ff28c1,155a79c3,ae9c292a,14fb2143)
+,S(48778fa9,520b12a4,12d74b47,65ad37a2,695e37d6,4070d53c,1e09cbd2,4c9f140b,cdc64805,bec15940,387b4c02,bc51b469,446dd3c5,b2e35b39,fbeca21d,769c373e)
+,S(9db2c42c,6a735886,8edc8831,2ed6873f,28077bb5,32d186e8,41f67ddf,a301dc25,e01cb235,ec9db45e,e1193e06,46a325b0,aa0ac5d4,786d0ac8,56990262,bfb3a0dc)
+,S(cbcff58f,62bf025a,43a1ef44,256b27ff,37c6c8f,2496d2ae,fb280734,9cf8da6b,4fd99ed5,2da32753,3a9251f,e1e136bd,28f5331b,c1101da2,818de6e5,3bb1896d)
+,S(9d520b97,87e68c45,817a12a2,93b1df96,70cbcf3,91788270,93367253,6f4f3639,615e115d,2b539895,d91885ca,a325625,41fec07,9d8fb6bb,22d9ecef,b6bc0f14)
+,S(c648ddc4,57c2bc,bc23d182,8cc6d6e,4b0bfd3d,f83b2e7b,3ef6a341,9225dbbd,ac9a863,38dd1966,9bb47e99,e67a3d9d,ec16fe61,dc17ecaf,209a7fbc,518ab3d8)
+,S(ae11f835,ea96f767,afde3f1e,79221dee,b80ead29,7b45e29a,7e596461,e82137dc,20453bec,b65a62f2,8996e1b5,f1953acb,4c5dfee5,4e5f9a15,c2a2178e,4c452596)
+,S(a35549ad,56f8a64d,d23b9293,d8ef5128,699f6fe,365c0fec,29280d0,a364d46f,c84041cb,a38c9981,3015ffce,17ffece0,8f55a292,3c64868,f11cd6e1,bfbbe75)
+,S(75877029,af5575e1,8dbfaef,37dac89a,2aad8308,d473a64,9c347097,e35f8077,843b0497,d19851bb,ed243762,177cc69,603cd674,216cd65b,2e5a85cf,5fc2b8b6)
+,S(44ee3168,ca7ffd50,c467b1f6,83e532c1,ae00b9e9,f2eb1ca,917607fb,32d4ea99,10a20ea8,120b5a13,beda9f9a,9110eef,22564e3,9b96c141,1e73eb7f,c92c3270)
+,S(9a013c89,8dafaf0b,90678f92,f3bb98c9,461e4595,42cb07d6,477b6f66,7a5337d4,11f8485a,c96623a4,e6c9b773,f5cd9fcb,fec396f1,ff53205e,8774ba1f,da3c2a73)
+,S(b45e28a1,44d54182,20819a61,5f50b349,3fa12d17,2b8b5bea,83e73d69,b6b47d5c,d987db83,ccdacd21,dfff1dec,43997253,fb1c2092,95bcae4,5b76c306,92c29f4b)
+,S(9e7d6a53,49845888,a8865d07,310192f8,9a659205,1d2a603,cdc03d35,a641a0c9,ca1774ed,ace29fa7,f57e5690,b4d1c0b2,ce5f1fbc,b21fb323,3c001498,54f462d9)
+,S(113a1429,be1b613c,567b306d,5805c163,e433a940,8ef14b01,b9afea43,54991f47,225ee5fa,6d26cbb8,49191ec1,a51e385c,321e801,9152a3c7,50014567,7b928697)
+,S(32ec8dd1,2cf85df,931e2597,f6b005e9,6d6eb0a6,d0dd7964,77655d71,418d9181,fd718dd0,78b3e4a5,9bef7f4d,9c430764,3423bc05,e1aa22ab,dd7bbb,aff9d8b9)
+,S(ada43267,f2cedae4,5e1a5f1,46151f89,b145db70,ef477865,b1218e91,72e9246e,d148bee0,4d1f4d29,f9f15c57,8b047469,16e39686,c2b2ca54,1f3e0d4b,247cf82c)
+,S(818a0abe,debd74a6,91fe662b,edba1a52,65f5ca07,2017c6bb,bf7b9847,95bf0cbe,e7b2d06a,1872c73,6988da9b,ce273b7b,ac0f03b,90903bc8,da719ce3,89c0a53)
+,S(2f49eb55,ef77da10,804c1a1b,f596f09e,ae76026d,f2d12f14,d80be810,7d0b3c94,6a225810,2f1118,eb689aa1,e6d4ced1,1a79036b,802caffa,5694e383,3e038b83)
+,S(7fe54d70,54cb025f,6bef8029,bedbd15e,bf66d5c7,986c678b,a5cc5353,7afaf74a,fdc617ec,72ac6632,6d16afb6,69188554,a47a82fd,db757695,2296c10,b4ad89b0)
+,S(84f59366,2b8284a0,c9db8675,db9c55d7,411ec9ba,deec1319,56aa3f75,8eed2689,836e65d9,6bef6ed7,825119c4,c4511c89,48042592,f41eddfe,4de98e83,acd0d88)
+,S(c90aa830,1a84820d,e06eb6b7,1ccc9bfc,a46b1612,5e2b5f52,da0a6fb5,4185ee1b,ea86d7c0,b285d82,9331e05c,d99c58a1,cc213449,d9226efb,16135237,f90dc8df)
+,S(ffb4d576,abae49be,69f047ef,636142a9,8669b2ad,9cfdcadd,c057d96e,192ef100,3740cd14,b2d5e018,33a700e4,c80f6a8d,3d95966d,a5238120,80a9101b,b7ec6c7a)
+,S(408a8d89,67ad6bcc,eb7ebb61,89afefff,12c24b5d,2c33ca3c,8b78fca,cd403de0,3b761fa6,378cc42e,a28fb66f,f1d8171d,4acd3557,fd6313a2,cdcbce47,e1caecf3)
+,S(580a33f6,153109db,fdde27e3,f1b0ab04,6c80c04f,18326712,3e3482e8,7c53b787,bb8073c3,fddc81e0,e99ac5ae,69702ff6,f70a33a3,5639add8,1d353c0,e428431a)
+,S(2d310a94,7054ccca,c46b1100,88349ad1,4c7860db,38c698c2,505e789f,8344130f,1ea2069c,3c6ec90e,9c11be0a,913d90e,2df1875a,2e26aa9a,5d28dc81,3e3db697)
+,S(2874282b,e7b11cad,3f22f2e3,ab835aed,5d82b424,24697b32,985231f8,6a7aa450,286332d,b2e1b922,222e3860,e41d90ba,cf39ce03,21f26b74,cfa23171,f0415c42)
+,S(af9e779f,f77bf3a0,10af5e41,82b77981,6940f85b,9530eea4,8b36e401,eb6231cf,9d3d4350,dbaf15c9,269d958b,86d6b88f,4deb7083,ab1ff389,c13f7541,98e84c67)
+,S(445edb8d,515ca735,26fd2757,73b2778c,bc93ad8c,a661b35,4471d035,688c1ef3,94917a3c,fde762f8,3b774361,1f36a13e,e94b759a,455382f5,55d64f25,7090dc49)
+,S(e010c20a,370d5306,f89993c,f7ec34d1,3e76feba,2b6612aa,dc75012,701811b4,cb45172d,280d9be0,52d57a21,4cb3cc47,798a6426,f215e3ce,e3af64ff,106fd8af)
+,S(d34277ca,4625c7e5,b1134080,cfb44cd2,ef548b3b,67bb73f9,eed42352,ae5af8f9,a35f5779,7a628f7e,bb37bd60,9e3f44ee,c391909a,ce27ab44,1ece58c8,d7e4a4df)
+,S(be0b9399,3bd54241,b684977f,ea4733e3,d96182c3,c9fb1c5d,d665eeca,cb1d628d,37904353,744ed26a,df76272,8ec41898,13218b0f,5fb09da,dbf5be84,fb7fdb8)
+,S(308295f1,ed4a21e9,1ed9f48f,d6b42829,edd9bd34,e812f09d,c3b2c319,fd8f3980,6835c34d,5c360e1a,49a14c31,4ee4cca3,797d434,897c4181,a8ba5d7e,aeac0230)
+,S(66cfeb51,61aa879d,fd791604,e10f5fa5,c2e07a5e,66a37b41,2b88db32,dc495b1a,a0e07a9b,f8a2fc01,3e229602,b483bc26,5ffba9c5,fb6ebfe3,f9ff9c9b,3252a1e1)
+,S(f42b8fb,849cea70,4cfb3d9d,334a4a11,bf7b3aef,9b55f648,ec885a2d,6fe39ba4,b60621e2,a36d4aff,9f75db65,dd381ae1,f5b0fb4a,bc9f19a7,36d160a,61e8b22f)
+,S(429c1785,22906323,2ecfdc46,2666f8f4,c57b7fda,608cc8e3,85a31254,bfab034f,e190ba59,1a868f57,40bbfcb0,481aa04e,50b3969e,abc941f1,8e69816b,2962af35)
+,S(c8939d7c,94789a0c,b95e4237,fb378ee4,9895b985,6fc67d7d,fafdf7b8,debf611,143aff62,6e94617,c36d05e2,3062d2d4,47feb77e,9b15e2b0,4370f81f,1cad3682)
+,S(5e4155bf,56303243,24e15ae4,142ad81e,2b82aeb7,8dc3ccfb,1d36f3cc,4398ef94,6801f527,2325a3b9,a9f3807f,216d7425,b9083364,203f3b75,ed6f4ff5,eb5da55a)
+,S(1196b198,53f093be,7bbfa851,a7114e23,eb01c530,6078965b,5e9dbd3f,8d1b573,794cf0,54bfee20,d80dea44,d183db44,fe79dced,fef0a97e,5c557fd2,bc628795)
+,S(d818d920,74bb737b,7db8fcd0,168030e3,39803e5f,6b76ba1d,ea836ed2,c73a6094,6ac7dbb5,1f63118a,80cd2aac,fb5f086e,ff15d51b,fb4ccafe,9d96f179,176e504)
+,S(c0276b4b,f5ccabe9,ed9a433e,eae5c989,7039042d,b273ed88,51db464f,b06c6204,489270ae,6349ac81,d481a582,a8581520,972593d4,9b3facc5,fd52efca,24f4756b)
+,S(94b2a1c,ca23cd30,eb9b300b,43d0b24a,b898906,1c4d8a7a,d3343d7,cdd83307,47c5ed56,b709bdca,5b960801,58338b9e,e6e74683,99a50640,6075302f,9e481df1)
+,S(f2aee379,df2bf54e,e4a1c385,c28fb64,9f157d2b,d345995a,66868876,ae7d5108,ae766bae,9c90a1f9,c9079d35,1676eefb,19a7bf8f,bd56a311,13f2dd56,35c8ef08)
+,S(fc8fe44f,3dbdc4b2,afa9cd04,3601c6a9,e81e4da0,456ce222,8306bb85,ba9833ad,6a321b78,a98f52d7,64330a52,ea5082b9,2b07655e,ce8c5094,ce307538,6d56fe15)
+,S(d38cdd79,19a4f3cb,fbdaa3eb,e2ddc10d,7444d04b,5830eb7c,5b8b464e,4c255c14,6a0f1ef1,823a2fdb,94a311fe,cdaebe7,e1904095,1ddaae6f,1a565551,2c8c15fa)
+,S(ac02e6f6,13d8690,d0c71943,a26b5e9f,916ea119,d7773f4c,14247538,9a4b41f,eadc499e,436b4eab,bed9c5e7,68fd2f67,72659819,437708f3,99531ba6,c05ea2b1)
+,S(3948b1a,c36bd462,ac7b5cd0,7076f9ce,dc6d1a75,1ff65177,d7d9b701,d06419c8,ca91fceb,a01c03c7,ab141ea7,1cceb61f,72d5d18e,77964bd2,732bb95d,191765ba)
+,S(4c7dbc8d,21d600da,6dd4c0c2,cffd8842,ea9e73d0,5dbcb554,35e31971,7e706e9a,86a77f44,b87b7abd,29c2f412,97f7e859,6db46ebd,8cdb442d,35dc17f5,278230fe)
+,S(75228daa,b3825e2d,9f8c2f7,a0743b0d,b7dec731,d9df5e06,98ee11e4,8244f623,963c2987,e122f107,dba37bdf,ed282ea4,75e33665,260a5aa4,51021a88,780a1676)
+,S(aa3a86b3,2ed2161f,8f6ea92c,71b7a47a,b584a73f,102c0147,632d2c2b,e80a579,b8fe249d,2b4ec64f,dd345d3,210244d7,f7e517ff,7722c2ab,bc4601ad,ae4e6cb7)
+,S(702b912d,9828039d,a58b992f,7d6f3af9,4c03227d,3d3c368a,bcfd3164,193f22f7,25892c49,3a32cd78,130a4e14,c714cc7e,b576ccba,396ad36f,71de5c42,c6bac387)
+,S(4ca10c88,6d44bfa6,2a221dfc,10c57011,269f703b,8f6f3567,829d3b5c,9c90ba75,3323eab2,9282e358,d4de6f27,72d77db3,95b04a22,7f0374b9,dac3ecfb,4ffde3e7)
+,S(1619ea36,30da6972,2caa436,2c174efc,f3601c35,2e946d34,2da56738,92b9c325,22ad140e,13b8679e,a6d88dd6,148ded7b,a1c12697,91c7ede4,b98a72f9,f0e881e)
+,S(21dfdc38,18debfb4,9cd409a8,a302f8ac,64d589ba,b65074c6,365bd398,d34d3032,bbbe7ec2,e835204,a786ddcd,bb6026e6,106d193e,21725c45,79eb17ce,784099a9)
+,S(60fbe5dd,802f1ab2,cbae99aa,12cce0ef,36a472e,bbb1bd1,c0ddbd40,85069fe1,ea83b59,2dd304d6,82fd07a6,85408f0b,99feb1b2,b78b1316,7f9be524,a7349dc3)
+,S(c804b465,fdcdc5bb,a848ee97,559405d3,dd7c2479,4dc4866a,e29676cc,1e147f96,aa4a2eb7,1fd82b70,ebebf43a,9b828e4f,fb10cca2,cf9bb522,3a7eeef2,5badc5a2)
+,S(77a6e3e5,51373b55,dc51b338,3c32f6c0,5c74cfbb,3192fb7b,d96d9d3d,d50336d9,21d2326e,86efac71,48e075c1,ffcd573,5de35d6e,3856f2b6,7d358b6b,c6f047f)
+,S(86ddc187,4a72eed2,666706ff,26a4ec65,a89d82cf,64e3d8c9,4731d62d,d5f7a5a,51f7cc40,ce45a123,a9217816,ba3e6dcb,40507b5e,4cde95c,443ce5ab,4f0cc29c)
+,S(cf49d0f8,db8eeac4,6c108675,a155e327,8c80d5ef,84ea28ce,4a596f3f,c7d3beca,6ffdc741,ebae75c3,ed82dcd6,a6191d68,7cdd64a5,c3146d41,235b96df,420086fc)
+,S(1d75ef89,57eb6722,2d60e872,1e126cec,c9f5c851,5fe18381,518cb54,b75875f4,82c5dfdd,9288561d,dbe4ae2f,5fa1d429,c2076625,7765b3e3,7b99dc66,b78dbdb4)
+,S(bea4b735,f62e6122,9d8d9466,69503348,5bb5b7e3,c6ddb6dc,a292ca89,e7ad0689,90e3278a,8ea9e10,e7d9a451,7b7c01f2,7cda5836,f52a011c,d8e20ad3,7a08901)
+,S(e85b0ade,a90e5170,18d0aaa2,75d5989e,577f5cf0,b3acb728,1af396a9,6169f2bb,d42970cd,3ca175c6,3916fec5,757b7f5a,30ef1269,d4083358,667f599,e650aaa8)
+,S(d97592dd,24050526,e41ed550,fcf7cc2c,82ca5584,c0228f5e,3ffe42d8,a3928934,eac6c169,6bf01c3b,759a3852,a0236f4e,4de0db45,26f2d26a,2174dc4e,fe2d102e)
+,S(e023ea4,50b620e2,378e60a9,a8c65778,fd772575,5aeb53eb,edd35ee1,666e00e7,4e4ed850,6dbdcf89,b060f0e7,8915f506,6bdd544c,e37e1e30,6a966353,6894797e)
+,S(615b5c95,5cd4fd6e,a581b9f7,e6a857be,a7c0ec2d,c302dc9c,c8304ec2,d935e5a,c221c766,2602325b,bcd845bf,f5d754d9,46fc8074,f36a78d3,6e421b14,fd5f4d46)
+,S(b1dfa434,2e12021,b9ce34d6,1391bdb,fa2a0d85,a004985b,c2cc7358,96ec13a7,fa3d115a,8162f828,1dbb7e9b,6f818b4,13c2a5cc,58993ead,d103ef59,9748438e)
+,S(b64b601f,afbe47fd,ac675b83,5e4ecdc8,68c7e1ab,32598974,36ba3c9c,bbeada7c,af78c039,d2315746,feb60662,462dbc9a,652ae90d,573487d8,5ea52374,e9dbe68d)
+,S(5429d346,fda1d9c8,6c5027d4,e94d7565,b0981f23,52715336,4a0f3264,6bb579cf,5b8ce197,dfecd92e,390754dd,2d74636e,162d6659,51464f37,ac696a32,995b1880)
+,S(890694f2,56d6718,b040bb78,1041749c,20e21669,f3787f94,ff954b16,2a6f005b,d966934a,890dbbfc,bb90d7b2,26afd0f8,7bf505b7,31b94df3,5df1c141,2d753341)
+,S(3ae75292,cd0526b7,fa6987a0,5fe060c8,269b5d1e,44a2867c,cb92c2b6,743cc117,10959cc1,5a74a82d,8f7d5416,a33256bc,f004eee9,87b82871,d22a2dd5,f2416a94)
+,S(9d745a9b,ff717d55,5a353fd5,f1b9fa1d,347bbade,8a4abce9,3bb5dc7f,299b0707,cef338ae,d513c60c,7304f615,ae734de6,10461cff,ade0f69b,bac28e6,7ede8134)
+,S(699e9c2c,8130c939,105ce7f4,f922c060,abf1b896,648509f0,aaab9519,d144f166,882b490e,1fb9f944,95d14583,83809d69,bfb7da29,97d244a4,38da39ed,7c3a19cd)
+,S(e3a01cc1,dc520509,a91ea704,bcbfe298,ae79b4a5,4f433550,3884a1a7,85591f87,f3c641f3,68d19d57,fca87e54,6ddaf495,2480a891,37490b96,6617fd4,1edcc64e)
+,S(5d150dc3,d9df375d,46dd2362,34498514,cc7ccee6,fd8ff5f1,ee5ee38d,6ac433d1,2c091250,d2e2ea0e,7d80263f,18401092,399a83fe,bfadc061,a32316eb,52ab0316)
+,S(49fb9761,bb12ba3f,644aea5b,5e011f80,ec477880,58a6eb16,c100c5c2,e0996a66,7134220f,b7208914,58499caf,21654c5c,d9086b1b,92978370,89cfd06,d655e23c)
+,S(34c55eb3,a4512dfb,de799021,1adcddc0,bdea055a,1f4f7b13,d530c945,2a44738e,258cc688,beff401f,9a910e26,d0c979e5,fdbb695,323321f2,ba39a4c5,4f98fd16)
+,S(7068fcf0,7c3efe00,4ff7b82c,2af0c9cb,9b1c39f2,30dc602a,b2508d42,30a3a98c,e48730d8,844578c5,2e7657bf,202b5df5,2fe50679,7e2e1d77,aaab197a,e37ef1fc)
+,S(e1d8910,a987aaa1,12ba1f95,ae8e346e,f49e5254,a2b01909,f73b874f,6b355a1e,8ad0311b,cc4947d8,999c2c14,9fd5c59d,d4a56a20,a0b90235,d7bab907,fe3cdb8)
+,S(92509b88,ba8631b,16c6b2d,c60df45c,6bdf06d8,ed4dbd57,c10ac3cb,72d2caf2,3ea47a31,633b6299,a9f95651,b95f1411,ee6f0f33,35ddb8c3,3978af58,746a3ccf)
+,S(90fd402a,e8d505e9,96aec994,db7d29a5,6446471e,34dc7512,6a356ac,1a66a519,68c0ff7,bcdc36e0,ada31816,ec4f0e67,9a6dc658,46aaaa62,e1958ba5,bada3b6b)
+,S(b380ecb,7d9bca8e,1e35b0dd,d412b128,4cbc77f,c66c5f5,eb390d9f,a9400704,fd2a2092,77d9b783,9df69a7,229d55cd,18fa71db,e1f5f8a7,d78f450c,846a01a4)
+,S(40e2e041,aecbb6cf,6f866140,b6149257,f3d029ef,ccf2a752,d3ef7b0,32b83f0c,122710a5,3c83888f,54e26679,417f2329,e1eda641,8e525326,704744c6,bc2291f0)
+,S(8e609fc4,3f4e30c9,3893a38e,9aeacceb,7d254eb9,f77b49c8,c99c20a8,aaa03583,947c4c6e,9a821504,7f259a86,b1d70378,837fb57b,e0d696d,66a3dc3,7ac1a3e8)
+,S(b871c5b2,2bfe9fd1,6898d00,1af89a8f,8d9c9324,52fce0bb,2ecc0835,f435f5ce,e302e5a3,ecbd0ee9,9f87226b,6f038003,507fe8ee,60b64,cd656f26,8f1d3078)
+,S(526daa7e,39e891a,bb524170,96fff4d5,c6f80f57,cce87f83,2ac07cd5,50841682,69f04499,4fb7130e,758fd397,5ad40f68,c477bc9c,cc5c5f43,c5f5a554,b3d210df)
+,S(c15c244a,514e3057,ce67cc07,3fb66fa1,5c031f51,8add9ba2,edc12f94,861ad25a,db1021ac,ecc3c897,8de34780,bbc9a8fc,16449ddf,5cb05b90,1ba39598,72846c50)
+,S(37e20b19,466a038d,b3b63873,50dd3dc5,d3494876,cdb7f344,3e234173,eac1d388,b80a24,546541e2,ecabcfa2,7db57aba,5ea5bb79,f69ecf25,2d68ef63,fc3b89f0)
+,S(6d091f28,feae0142,b311cd81,f57958a5,6a0da5c9,7ff5eab,c598e4fb,564ea528,48bc97f0,4d7ea6c1,38189719,6c85dd22,6e9d9f7c,5a8ba74c,27c29063,fdd07906)
+,S(3bdbd416,a76efb56,ed01664f,b819dbfe,d3e545cd,3edd48d3,5ca635e0,bb54fd71,a6954d72,3ed7253f,ef301621,91fbad8f,9a63a893,82b98d26,a6bf36f5,2ceb0639)
+,S(cd4e36a9,f111b55f,8c05d41a,4bc33ef0,c4109540,d9871237,4018b2e4,7e9d61ce,478dfa16,52632e69,6ef95ec,452df807,abded9bc,264e6dda,df0c6215,454e3e57)
+,S(f23cc4a,9c59c0e,3bf21413,170ac67e,24845771,2e77f1c6,272a9f11,2df24efd,e933bc72,99b6effd,5cf58fc0,72f7a466,dc71cdce,74a3d3da,9ed5e7dc,577fa4b2)
+,S(d98c6585,8c97eb35,b6846840,cb6db623,d7a349,435d4989,31a695ad,ed3c33e0,443fea24,ffe8825d,eb6c953c,70627395,ba13781a,164f2eb2,a85b862d,e3114990)
+,S(2269daa6,c055dae1,b6d2b9d1,6c74a9bd,65325ddc,a249085f,a946e66b,6c744225,159d01f9,a61f0456,b08f0fe6,a42efdcd,30e14ff3,bb47fdee,2352dc9b,f5bfb3dd)
+,S(335044fd,8eea8792,8de3880a,546b01ad,eb4d75b4,23ae7ba4,87740c03,167c48d5,69e503f5,26266bbc,63b0f2bb,757b3be8,cfe1d9c,e63d8226,8187a309,ceda1cc1)
+,S(ee7a263d,86f9a83e,54cee87b,7bcae75,a601da9b,637aba50,46bc5f9a,3ff6c512,9fdd3192,203268e9,2388ac1c,840e7635,22271483,161f8f60,42d82909,41373d56)
+,S(529b33b3,36f1631b,6c7b6111,ef44a888,bf95f344,766a2d97,6c5e5d5a,53f44245,12856106,93da6f4a,2fabc1a0,3280249f,6f29f9ee,9ccd7000,4cf0a857,ea061099)
+,S(f2b3346d,a6cee9f5,1a933718,2d655a88,6a251353,8ebd243d,d3e3cd65,abdf1849,d41df628,be7703fe,9e866526,2f6278d3,55aaefcb,324df2e1,f483b0f7,77b77da3)
+,S(535e9dbc,f03d98c6,70d03d04,5d638c7d,1db7a12a,22f3837b,3f559b70,4582befa,2c233228,bad897c5,bd4fa98d,67f8384a,62ea4761,4f64e4e7,40bc1f65,9e358392)
+,S(c131688b,70da6ac6,5ee3172d,dff34624,b019bf78,85033970,8253b4a0,b299a7f1,fef187b6,e0e748d9,69a11d82,e9f996f8,d6e1aff,8b84d20,7dd78519,dce5f3cc)
+,S(75dc84d3,f7ab7985,10ceddf3,da6bf832,a984d00c,98726a64,5dc71b21,754d3ba9,f5d9edf3,5e110491,2cc5e4d2,82eeaa53,84f62deb,1dc2a183,af5b232a,e3841c50)
+,S(591dc7bc,9136c38e,ae727310,25c5fd52,82c6dad7,6f98c648,78847ed4,f32a36c5,fccfa4c4,f81cd382,e003aabb,4cb6c5e8,8d4875b7,21d44233,95397268,d7a421a0)
+,S(83a59c89,2a8392ba,e7548fad,b87acf7a,d2c78db6,4c588f0f,b14753ce,12712596,7d00ac1a,33b12065,d67c598,8822ff3c,46f090e3,15cf919b,e3e5030c,e7c5873b)
+,S(e9b0dfa5,8c52b2f4,a9c1b8c3,76391eff,6608f968,ec45bfc7,6ca93e2c,ba6f6f83,6449b28d,5846de0d,27489124,feb3f3fb,5c1f0839,a7809be2,e5cb5def,2e0a7c8d)
+,S(16cd2f9,67b090c3,d151c002,d3a3d25c,c76adf50,d55a6f81,b1b9a650,b72bc03b,c592601e,2fe77090,39ccc091,bd78458b,a23db74f,848ee06f,50ffe4c6,8ad63a7b)
+,S(f347d3fd,1bcde363,69e3d9e2,44d6e5f5,d80b8dba,7b1866b6,f584a38a,3aff1cbe,1c435ab9,ae38a13,98dcfc6d,64125e8,c7349f81,1584fa97,66dc4d24,7e87977a)
+,S(5b190d87,d644854c,90c49f11,34921545,f349edd2,b4e9926d,534374cf,da428b1b,8a4eacc3,63efd6bb,5c93ab25,65d2c157,9c1d3176,b2713ea8,56bc97be,fa5401f3)
+,S(a7786cb2,d7314ce8,f21e9665,bccacad,c49e78f3,7772c3ab,105f67d6,1c30834f,4fc7acd4,18982e3f,2fb1f911,cb70bfc0,6c4ea71b,a05f6371,46e96bd4,a9441953)
+,S(d3654f53,e9071a18,8c5faedd,c0ef3616,abf74d26,f073ddcf,545a01fb,2fbf33cb,a56f20c7,213c0394,5978502f,c4a716f3,77c7a3d9,26c3cde1,880f103b,432f4383)
+,S(e1138a87,400acbda,69d8ac3,bb6db4cd,27d03176,ee88994,2039a93,7822399c,f29a8fbf,dd3f6d46,5c640de6,b6853e40,1803cd95,f5e012c,9ce967d5,13a162c1)
+,S(d29eb63c,91c0f4e5,b3c49c6,9c9ca952,5714730e,76bb87e7,374ac995,86317708,4ad93702,4e9180a5,9d22ab4a,c856de6a,d9d38c9f,1cb3fdd9,d73aff61,fea5f1a1)
+,S(a9d403ba,a6717fd7,6577da1,d8b8ecb3,d2124b30,d18df147,ca48b482,26ee49f8,1eedfe7a,8c5ee1ee,50937bca,d9591144,56f1e49e,db74133f,f45176b7,26d5323b)
+,S(ff7b58e8,dbb6055a,eeac6bfd,112d89c9,8d8f3763,98e41e39,ca076bd0,9ef57528,4e4e39d1,ad7a51e7,d6cb57c,836c0685,8e39f1f5,bd41aee6,cf5d250a,fc381121)
+,S(43c50a9d,f7839f61,e1b6db23,4e2f146e,1672ea1d,566f5613,1e7bafd1,bd362979,f20fda98,81541a8b,a83e908f,69e05218,1e215885,f60cfbd6,1ada74ea,83f449ae)
+,S(f608a9b7,1c91298,75662ae1,6be6d043,5803a9d5,29d3be53,9843f227,174ac30c,5ef364fa,e919dd42,1bad3243,413bb565,d788d266,d7b508f2,83c486a,327ad5bf)
+,S(c913e029,dd1ef043,f9bc48d0,c267657,3cc11722,5cdad56,8d013327,445a117e,97573f0b,9c31cbb3,7bdcf07c,13526a04,32a38f18,43e26d8b,ace85a50,19a83049)
+,S(aae0c49d,b17e7bc1,66c0c58a,cca847f,61318bb1,3482f63c,ce7dc55c,82a7d728,41170bf3,f68c3dac,22051aae,658cdc0e,810396ff,9d5d9251,6a7e6377,5c6be0b8)
+,S(f2805f1f,45a0b622,59b9b15e,3de4a05d,e306c8b5,ebc5ac96,d35aa388,ebc846c8,f5d72739,6ba37244,57725cdd,912fa38,b36e201c,26409dc9,9789d087,6b8d1267)
+,S(6969e4e6,e150d12e,4a230e59,37d865a0,f7d2323a,781270d8,7b0a7a90,fa4f39,c71c33d6,d323ed0c,3e77ebe0,8595dc9f,e030a0db,aae16f88,8dab7187,5e14de3a)
+,S(aec2bf0,7a0e257a,be4fbdb8,e872dfbe,2aa0643a,411943e3,e4cef039,8d988f3e,d8e9f557,e686c380,c84bc528,fff0a830,bcc3b6a2,724d9df6,ef21d545,c8c931d0)
+,S(9c6ff99a,13dfc35c,a502890b,69d91dd5,198f561c,790bf322,6bb243bd,4926f710,2aef920c,84a4f5ad,9d88f541,1ff46839,2f7f4e63,3422b11e,9b683403,f7ef849d)
+,S(fa43745b,37a5e238,df0246d6,7eede652,ade75aec,b5dd8aef,afb8e6e0,96d7f1c2,df9d5aa4,2a3c6540,3793c8f3,fef939ee,48aba7f8,59fe9ead,dc44e82d,a98689b1)
+,S(694a3288,6c4e26c7,eb3b84d0,9e777f96,ce3b74e,58658741,27643dda,a78d46b9,a54d6c6d,7645e5,6e8909be,922cc5a,a700d932,cb1318b0,1446a9e1,8bdfe67a)
+,S(65499597,5be06b28,b4c339a2,b126210d,930fe920,7cc72be4,3d4ad17a,c08f38a0,bdee23bb,467fdce3,2d2cd92c,e81e3f5b,d29fe8b0,8b35abe1,c684443f,72f7900c)
+,S(3791c8f6,75bb14e4,b7d4f084,483aec44,ea38eb2,9b108137,400099b0,799f0bd,2dc8f74a,da5e5eb6,f3b96ddb,cbee5ee5,8b2a3f45,c31cb16d,15a4e918,eef7bc76)
+,S(d5e41065,eaf890e9,e9046936,acf6a43,59795c7a,1939d8ed,42941a8c,6ef31364,191ec4c8,a559fd4e,7abbb6b8,f2e4c32c,bd2f30cb,d06ff6d,21f156cb,f65bbcad)
+,S(16ce2280,fa0b404d,28a29acb,62058b99,e504e6f2,eaaa3ae8,b77ad650,2c970dec,3d4683f4,486addb9,e54bc252,74e590c,b6eaec5e,7f96e9b8,8174b81d,56efb09b)
+,S(a6b0ab30,6cdfb1f3,90e5b447,816841b7,e08f997e,d7d47016,bf3b501,c6107d07,2a62842f,b67e2794,92ed337f,d72abc9b,94e96e4,a10f658d,9cb9a4b6,a80abf7a)
+,S(d7ca6d38,760b320b,21cb779c,d709f376,52b9d08a,8ff6ad90,21e00628,56033583,d6c05f72,866d59b9,6b91b6cb,b1401619,5e2d1cfa,9982db04,6d672fff,849e7bb5)
+,S(78ab0563,2d3f707e,738cb134,7121c73f,e162405d,61a0bef3,75f6cb45,f5609d33,fe1a390c,10c7cb4f,297a4b42,4baa5c50,350eba49,55fb74f2,1094ec5f,ee75a6b0)
+,S(c053553a,5b9fe803,65fc5a9,60e48fd9,218e2128,28935879,bd1072c5,180d6f04,e02da774,214dab04,e11c45cf,57be2802,7d0d28dc,51cc08a4,7528869a,3e719192)
+,S(bf85d713,e2a995c3,ef98d403,30fc1fb3,5faf8e95,81385b4e,b65d5ebd,23f02d03,a5d45947,58d7b0e1,a8542a6f,21ddd207,dcb68e96,88284bbd,6b940748,b3e59b18)
+,S(fb73b6c9,2be578b8,fe2ee0d,eb0aeec0,13816905,9e55031d,69a4d0f1,1bd280a,72ce7893,9bf5a55f,d4430bd2,55bde818,e15bbc98,37e3dcf3,e31d22c5,9614cd16)
+,S(56496e5a,ed338dc9,201b04f7,8f4b6c2c,d9928135,83360dfc,1e2f370c,1628aa79,81dbf48a,824fca70,12315d3f,a56d5150,92ffa54,d1300725,86c8a476,be8c2db1)
+,S(d698e395,9e81f098,485edcc6,2f2a421a,aecc0a79,58c9f6df,7905c931,b7a2130c,5903debc,e61eaa39,dac01a8e,3e970a39,79408bbe,1d0ffba4,5ce78c9c,79563d27)
+,S(84b32e40,86709450,b32ade00,d3404b34,7fad8d7b,9387d931,780764e4,c566ff80,4c80d078,56cc4296,2b7941e3,195c5350,9bb5b0e4,325c24,4aa3a581,bb1cfdc8)
+,S(7129c799,2a3689b4,c1873a45,f1ed3327,6528e243,28f30cf0,5ac38a61,8db2ed6,362b4fe8,482125a5,d4d15456,79009aa8,44f86619,cf3fca68,ce38995a,660810e4)
+,S(93164c87,fa48b6ea,6b6cac08,8c991c34,5f8cad7e,f68c5b98,78139d28,d180d824,a3ac0d5c,c91cf0f9,cb97771,d16396ab,bd183221,c8d36a87,2785e847,b5d9e26b)
+,S(4f90e8e2,37c4937c,a384c7b1,f929f329,94744d5e,8b89ad94,808ed9b0,9f305a68,cde776e0,2b6b484b,83f417c,fceed07a,ce725e00,343c4e70,14748f08,992430b8)
+,S(4d9603bc,9f40716a,e6913fae,253eccd3,4442f6a1,3c058ed6,a10f91b6,75f716a1,92b679fc,278ce355,97165827,aa6fb450,9c52a412,284aa493,c6654ee4,3924add6)
+,S(8b6f651f,91c54143,12c94f3b,c1632e13,f90cd718,67f906a5,aed13c4c,4ab17203,88c159a4,b80f2556,bb4e2b78,c126c40d,9ded995,bac6ac13,bf83655,210c7066)
+,S(6f58b852,cab98347,e86448f0,78d49916,1909e1eb,60556ee9,8cdc20bd,b25ec256,3a4c05f,233d9305,e6abd30d,da0cebea,1681dab2,ad805cd3,2fa7023c,98239885)
+,S(6be7f6a8,4021411c,acb710da,3ffafa32,8bb6ca91,59a91008,6cb98071,100c44bd,bf64a6f9,d461dfb4,581c8d59,b5fc1191,86f339ff,320e968b,b5810145,4836bee9)
+,S(b2fcd0b,b8ea9e66,f2cfdbe1,3ecff9aa,99661f0f,2ac1844a,b3983d2c,ae102d39,a046989,bb3b8fa3,eb2cbba,d3a7e810,27c38cb0,ea33ec74,1444e8ce,7182bb86)
+,S(a1d6ed0e,ab559b29,edf7770b,50cc5913,3916826b,6d99ef12,91bf744a,79a6fd96,bb91657e,c9255ae,173bf93b,51848094,2f17df30,ac6b391,df2237b4,c04ab69b)
+,S(28f6570d,ed7130d7,35366201,e9ab639d,440da5e7,e1c9701b,d08a811e,912a9575,39191f60,119c59b2,3e91a7c7,fbf4c2c,e2216e5e,955db62e,dece6adc,f2d2884a)
+,S(14c8ced,dbb83de4,218b089d,101d7b6c,31cfce22,49637853,b9c804f,90271fa3,48052d2,a5d02e71,135cba3d,24c7894b,de1293d,44a2f84d,7a8fece4,ea9a41fc)
+,S(eaff9f05,fec737d3,d2a28fa1,bc8450a7,a75f563b,9221bca9,eda2f8fa,e12d489b,d6d4419b,5c9873d,7d3349fa,520f463a,2ad9f348,1a111c3d,d3fb70a9,23b8c139)
+,S(e8ee4c6e,b42a3712,85b52457,52e7fc3c,ce0757e0,96932a43,d92bed15,14b35e95,d86bd4c,27ef1831,f107ff4e,6246cb7c,ee55abfc,cbc5de2d,5f230a2b,6a3b748a)
+,S(98c61909,8213b06,6b70759,1c88a51a,d5e90922,6778386,a0776e6a,ee41e7e4,eb3d2e2c,f98bb904,42e90e2d,38ce4c53,fd72da8,1a37fefb,fc241aef,f65d4c8c)
+,S(d4f66b81,f5d62986,c57a0dbb,c38bcb5d,89319806,4e28e17d,946cf7f3,f946dd29,c1930f8d,eedf1a00,cb7c5579,d814b5b8,2a12298e,530bb32,867821fb,7b7a5fc2)
+,S(14d73ce7,5f8919b,55d54369,69866f0d,a13dd4c2,ad447c4e,b9879060,1411087f,69b94622,b9cb0d3c,5d106df2,caf4208b,b71c48f2,629d467d,16ee06c6,93ededf8)
+,S(57efc935,59c7a0c,6ac51105,8a50a8d5,5646ab40,8a711711,5bc34c20,23da3aec,fca9329a,60b855c1,74bfba0d,92ae5529,27f959f0,5332cc4b,26272c02,b5c5dfd1)
+,S(91f13a86,63da80d,a90b9458,55a9f3e4,171213f5,3683873d,cb6372fd,95b3677f,7405e0d8,6734f110,c329a7ae,92055639,e0332ece,134156d0,3cab4efb,419a90ea)
+,S(dcc84d0b,46145e25,a83dfd64,b40dc5c2,c3322716,d1337767,5f9d6aff,a1607592,e46a4cf4,8e4dfeac,8df1526,f53246a,51b95161,a7030adc,8bba8ba8,1d2d6c66)
+,S(28ab06ac,d5a6f432,116011e,6bf3c6a0,df0bfa1f,df16adb0,54250174,3348676c,51272a1c,967f49da,e9d1d6b7,a4ffcfef,cc31f42b,e0da52d4,27e56b63,97b0cb9a)
+,S(7c01b21,f8d1dfdf,d3f2adb4,5915c636,d9c2a92,320c2d00,beff0f45,21d8b240,b4a48fcc,99906d81,fc6f78fd,aaa96b3d,6e7ffd62,d36d1aed,f76fa25c,542c8b48)
+,S(f94eeb78,30f8e95f,2a362423,9c0e8fb,a0d3279b,e0cb5f5b,428a99ac,d14d98f1,c96d5b64,69676b9c,a5dc91be,8bb4a93f,7157221d,9513cd23,5cfe3ca,43649527)
+,S(ea4674e4,7788cda4,bde0dd8,5f5e32d3,9a6d6477,30e9045b,d406f5f8,11ec35ca,769bf79,a9b9122,3070032b,a18bd769,fb622a61,424e9a0f,e1a46230,a75a235a)
+,S(da5a7419,7f8f8685,1317260,682bfe28,19b7b38d,376745d1,7283c250,1fb40112,a60b5eec,5871e18,1325ef5f,5d6373bc,b5a19f41,2107290c,eb663e3b,95c37a39)
+,S(c1017fa5,52560fda,18c6820,ded7b76d,a75ebcec,23b8fb6c,22ff72f2,26e9d41d,e947b19d,af2647f9,167da3b8,dff05897,9b5dc1da,6782929b,1b078114,349fed39)
+,S(be7c0e1,4e814476,78a15238,b5809a75,1b964658,19bf0b16,4b3e914b,29216a7f,a30ebe97,f64219a6,f0b072b1,5d648e81,880840b,8a36204e,4f1627a0,feb392e)
+,S(6758eec1,a4d6c0fd,cc118405,62fff82c,59e0fff2,cf80414f,cb53b139,97007cea,4653bc66,20fcd852,422c8898,862631e8,a0149bba,d0b9cedc,b4fe3eaf,7cb316b3)
+,S(9cbb51d3,f88f4d99,9d80cf05,9e8735b3,11014de,69acddae,70d850dc,405b6116,dfa2e748,cad75b52,800e0ed5,17efc4d2,47c6381,9190a3d6,e2510bb,25902360)
+,S(63a5aae7,b170792f,17350229,eaa5ad18,65328bd5,3421cdea,3d6e1510,d8bf0bc3,1125afd0,f25d5f49,f7e6250a,ed3634c2,12a261d7,8ce58ea1,95afb883,52da1010)
+,S(adf96249,3e5f0328,ebae11fb,243da21,4e036d24,1da62430,b0fe2c89,b2f10657,509834ba,fcd8ddb3,2d018b16,d17d4b5f,219a29de,8a03f7f7,84f34b57,9b1ea1e)
+,S(a0d8f5b,7fb44a15,93583364,e04d7225,bfdfa549,c2b25f32,f00765d9,e34d472f,61eab66,f84c2687,949da99f,3d97fe3d,630b6c22,f9f7c48d,d539b122,ef998ab2)
+,S(b98308ea,9596a2db,adcdbf81,56d8025e,7a3ee0d2,5b27c33e,f686690b,ae61fc1,cdb4e317,7566a4ce,b4cc582a,3cfd259,445bae6e,586786f5,1250cd05,27ddbd37)
+,S(e1a64f1d,37e3d6cc,119eefe3,793ba303,cf3969c8,db4abf63,7f0232af,70b98134,588d7ad8,885dd2f5,ec4d2084,b3f581b5,ddbd3567,8f4ecfc2,f955ced4,1c3231da)
+,S(fbd5dfed,e8543aa6,e72253a1,bd711911,318929ee,7af14eca,49c2276a,65fdaaed,317cef0a,432c3516,3c405d51,65b8c310,f234891a,dbd0d6f2,f76cfbf0,193b78bc)
+,S(fac4b7f3,b0a39510,84f1a882,2f7b6f20,30b87c4d,c0178a2a,e3077ce6,84da6bc2,7029b920,9e9522fc,160a5c54,a628fdd4,386ce0d1,55f19fae,390b2995,bc867d75)
+,S(ca8643de,834fcf50,802c0296,41b5fc7d,3c29fc51,5c75c53e,e64a8185,43ef7c2b,907a6c27,111e296e,2436fd4d,ad9d9fa,f8ecea31,cee714c3,b26fa964,afcf17f9)
+,S(71873649,d700ea1,7ea26b19,efe4b48b,a4a73b22,bc54066b,1202c96c,f3315f1f,f6cd8447,4bb374b7,753fc614,de5cf429,51512748,2042215a,bd82c11d,87ded2fd)
+,S(67e738ff,21c3c732,26e57482,677c63f0,175b768f,776cbe6f,15ac3c53,48c5e3d7,14e5140f,2343dd72,577a5064,47cf6093,ebd2854,5d1326bf,ac79350e,eaf2bdb2)
+,S(514b3f31,f875253f,205339f6,434ee17f,6c5a5c42,662ce934,280f55f1,9a198893,4eb33993,a2fbec70,4cd1c538,ce7cde4d,a61c0fc2,dca9669f,e469807e,4ae9a090)
+,S(426acfa6,eab03e75,6ab30a41,418a0392,ca53c216,f84b3586,f9858501,8bc2dab3,c3d63eab,21cc10c5,c0a06682,d0573bb6,d34944d1,749da74,acb59aad,f1083926)
+,S(b946bb46,68c05737,ffdcbee,94597c85,b8ad4a72,c58205ca,d420e8f7,a2d7a09c,cc700ed4,12633826,567e63a5,e65bc603,969ea13a,49feeb2c,dc723bad,1e3401b9)
+,S(e6a844b3,f6c8b45f,511d7d3c,ccd75df4,1d1e38f8,fb28adcd,80335b95,d98e33ac,7f24789,3939890c,74a3268e,e1f717ab,6c4aa109,cc9257e2,c0b176c2,ec58cce2)
+,S(43e62bbf,d9e052e8,c1636b41,5524b98c,493e903f,2313dcd,117d140f,96458001,f481853d,a90d528,30999300,dcff31d,ebee23bb,49ecbcec,8e147799,a63b352d)
+,S(c44ef40e,3427476d,42e23e1c,41ddb9bd,e555a844,9125aad9,e94f44b8,8047f817,bedd4313,e43ee593,f2818e14,776f4ae2,38f664b2,db84c9d2,498b9ea3,8e236fac)
+,S(a1b35313,dcc11895,c096f93f,5f8e4997,7f58f2fa,afd9b7e8,d408bde0,53212385,bd7eb25a,bf0d50c3,7309f9cf,5093d817,135a9ec0,20262c55,bdc8e8a7,a3079f5)
+,S(48a6f3f9,fd6201c9,a37f2f0c,735bd98e,1382229a,d1589c91,b6748a92,1b5e964e,1b545155,3d41a8a0,64862c81,fa9d5966,2c73e039,53a5dc91,9712c50c,5b4481b4)
+,S(8e01f574,651db06e,8a19181d,c8eecf1b,75f050cd,c5b2354d,b06285d9,a4061e9f,9d156ea0,9800e7d5,b6c6e90a,2eecada,7d7ba964,ba1f0cae,256fbfb2,275e108b)
+,S(4bc0f8db,9e6db576,3eb68b19,5a79f8e6,28e375f3,1694a58f,43da4dca,fa05345d,c6a70789,a1e6b164,bba380e8,126a4a69,6338053b,6a32d9d9,8d0f215c,43a5b555)
+,S(966fd0cb,5f5edead,d6230a66,50b7dab8,f4c7ee8d,b00ce55f,32d54a23,ba97a768,9d644e43,bb4f9b65,f5819a1d,ee0a16b8,1e8929c,a9e544e1,6546cf79,811a994b)
+,S(6ab519ad,49522ea6,592dc7c7,4438e337,20d50eb8,862467f8,2962c510,857b0d8a,c5ba3a34,2b7250a2,62b67ec3,554c21ee,e82653a0,378ee0da,8a809151,a3ae44d)
+,S(f8b0b8e4,3e5060f5,39bd0a0c,d076e163,e55f18a4,25327856,d526d6ef,aa76c62f,743de052,a65853fa,58cf29c8,62839aa1,7d5c95ba,43673ad1,fe1ecf6f,d4d48ba4)
+,S(c4509ef8,579d8ff0,ab585c0e,5223d5fa,967e9763,9d15b0e1,6587a125,3ed18bad,7b91f7e8,ee979a58,5a36d8d3,574b8ae7,81199dc0,86f11cf9,7fe58e4f,1db08362)
+,S(9a00135a,6ff450f8,e2207c53,894c0e4c,4cef732,cfab43c3,aacb00fd,ab42379f,393ec748,3684c5b1,4760902a,28cabb90,b481596e,8b847d59,4dfb8ff8,1fa9975d)
+,S(3d775bdf,173f8d7c,de90c17c,25d3dee2,a484d331,4e525e3e,aa4a405b,6f488601,7e6b08bc,a560f6a,5bf287f5,59d74e25,38a4025b,89972046,b3de98c7,b30e51d4)
+,S(cebafd3e,a60118b4,513380a8,d10a29a,a95e5002,d703d7b8,f5d0e983,7b03b529,19477ab6,46f59f61,ff603594,e33ba046,5f6d8b1b,f55290c0,fd61534a,87b74b4e)
+,S(ae8a3cac,1ff3e3e1,ef01ac16,2e49b237,7ecbc963,f58adde1,58cb1987,cfa731b2,5a4b0675,2052b749,733f6af9,e8dc773a,ee26fd2b,114a7ac2,baca1e9e,51531efe)
+,S(d74d38bb,8bd47123,5c118ede,e477ac4d,fd39b635,d0fbeb28,30843753,ade3b38e,f3e505b6,f17a2839,7a985084,31ba6de2,1ec0a0fd,3936dc32,5d66bb37,7cb54451)
+,S(f4287675,7780785c,d14dc1be,fe075d1d,4d4f0b33,b0ce9db2,49595b14,f6beb2a8,a3df2231,eefc62dd,c658bf6d,a361ad6f,950f34d5,3ff25536,4eb1e1d8,60514b38)
+,S(e91d576b,da19ad62,76bcaaa8,69cb2099,e6277688,3ca1d454,50dc9401,46378e94,b57e2038,c8da2cb9,9ac313db,83265d8c,20e7918,37e75db8,7acca971,3840779c)
+,S(269944e8,7d77e176,3791b53d,af2aaa43,e035e1dd,f3c7daec,7e830cfe,38c66ea2,cb011764,34bdc7fb,528ca43,9b323c9,56764145,7b7eeea7,39ace76c,193707f6)
+,S(ed41e68a,8f0b3681,1aa61c68,57bb1765,fb099317,2ff6ea5e,e94e01fb,644a3d1,f2cc907b,880cbe04,26ba1e44,83d95800,71c918e0,8cc085dc,1dd0deb8,c508231c)
+,S(6947664a,96cfcba5,e2e36e4f,53a33d69,538192f1,3322113a,b0b79642,dfec0de,6481d1bc,5b65b6fb,a91b76c4,d6ade333,25610195,decf5dc7,7f95dc2f,a38fb6cd)
+,S(aa3e187c,e22b63df,6a80a42b,ba9265b0,4379012c,70e8ef66,8ea85c57,1e27fb03,a638dd6b,98109fd1,96ffcab7,3010543,e8732f48,e5cdb29c,38fa91ff,8d011be)
+,S(5de4e1,a4bef94d,b4a9fbab,6543fd6e,bfd5ea37,9124e1c5,eff9be18,f84a944b,21c4a282,693be294,b699513,f7744761,58f8aed1,a7ec7442,9679ba9e,7957e2d6)
+,S(6533dcc7,2c87b477,81c96c79,3af0af22,fdd18fee,a33a30a0,9646c2b4,287a7ce5,7f03e5f2,3d82f9bb,ce9589fc,23442174,482748cf,a3aeccd3,f8c37058,837ccc51)
+,S(139e5f3c,129e584a,bda008ab,85343531,c5109f23,a70b9871,a5ebb00a,64fdf354,497b7e57,41fb8eaf,a53182ee,98352b62,6bf011e4,826ac9de,6190a2f7,773f0a98)
+,S(493fe9cc,f7e1e950,83cea991,8d8f2561,3ce57b81,81915f0c,7c779aee,8161f7c3,e69763fd,62fce1d0,454aff6a,6a3bb448,639ab615,8bcc2f40,88cbe4c1,67020cd5)
+,S(ed675fdb,d8dd70b8,641ac2fb,4903ca77,900e3c15,766ec8a7,446e6b36,52a064a9,a61bb379,85cef5b4,6e0669b4,b0188ae,23ccffb2,5ce777fd,1f26f313,68416de9)
+,S(173670a8,9a769e3a,797c14e3,15393d52,b6d48444,3861cb83,136b0ca9,9a260a4d,4dd43921,c1ba4d2e,95ea1b28,e4908410,d140b3f7,7dd82bc6,d683da27,c7bd4904)
+,S(d5a5e3a0,8f87e154,6f11e05a,c106e80,a1da933d,2cca528c,df9e1f09,635d1610,7c6c55e0,daf3c092,8d0a9c6f,2c1ffb0d,aa20df74,20a35167,2552914e,5d175352)
+,S(54f5e9a0,4ab321c,692f2e2b,94d6697d,a0a99932,74ee4ebe,4175a338,daf6fa2a,58cf13d1,75fa6e47,34aeb761,4f828dda,58a7d9ca,855ff42b,5cbd66d8,89f2de21)
+,S(d6682898,154de995,62e5544a,442622b2,fd9a632d,94445d4c,9e8725bc,7febe6da,98091e3b,9ba3b857,50e02c50,a7971aa3,b2d5045,f760c1eb,d1371dc6,3190f206)
+,S(253019b9,2af2c4c4,8d9f6e1a,82decd36,610becff,18c908ca,fef49bf6,cdc2da08,617d335a,d9509d74,e5eebdce,810872e2,3ffbdd3b,da53aa5a,495b86ba,397c680a)
+,S(56f64ca,461bebde,560d2bcf,ac08f292,ced72574,50e44f16,bab67cd5,104da6cb,5b2085cf,dc278328,a992bca8,f2ee8142,757cb553,b903a3ee,bd83bf3d,593aee44)
+,S(f39c9571,1e153a9a,f0e5c192,87e3ee38,5a31a1e9,bef312f6,4dded245,8f553420,4cc94ac1,1c206b9f,7879df90,8498c132,e742ef62,48bdfa97,4b882930,e3b0b1cc)
+,S(437eaa8,cbdf873c,32d3dad,95c5aae5,b2f3034a,5de0c536,8c8ddd62,c13128b5,27d8ea0e,b00310bb,59424599,3d60da59,2f8d1b2d,df0c1fcc,721e3080,993c59c6)
+,S(ade1a589,3f5d6798,4490ae62,11c57534,3f13e7a6,14ef71f,a79eb4b,a880e9b2,bd49c17c,537e6a3b,ac7404d8,c3c1b429,e801882b,7f241304,9022e262,3791c715)
+,S(936275d5,c3091a5a,b9f57d97,7a4e1b6c,a87ef978,c7ad198f,d16e2d93,3ac1224e,6852690a,d8bd84c5,eab75d96,c6e224d0,ed598851,b17b857e,5aa01207,df6b9f32)
+,S(29e55fd,3e8fd5cd,e046db20,5c80b9d3,e294971d,76b5e8c,c33fb5a7,6b9b786e,769e57a,7eb934b9,4578312f,720ce44,2bbf3e2a,d61a6f57,af6cde49,8c010a0d)
+,S(df8362a7,350185ff,198b5275,45e16f78,3ae37804,7647c584,168b159b,809051ef,afcb3446,fbd4a3bd,e826b604,84b16c3b,735ece80,ee48da26,3a6cae0b,62af6bab)
+,S(5f443123,9a35fe0,f9566037,96cc619d,b9a01e83,96cf433c,25415ece,58a427e,385c2812,fc0aabc5,29272b60,56aa9c17,37d81c72,48fafc90,6fd7d4c2,b0901ac0)
+,S(c19c4215,53c6037c,525b77a3,1693fc4c,8c5323ff,5d3dd63f,4b7e3448,15dd2de5,9f76ea8a,879177e1,27116189,6d9e6b20,a19d2255,92c99822,159c8ec1,a93900a4)
+,S(8abf3a1d,d1e02332,ead62fdb,36394246,14d19d92,a82113f1,d62a1423,af2d45ac,325a967f,dcf5ec3f,75e7a984,ecc2d9f2,defc2941,6dd507ec,7de1b598,a7e36dde)
+,S(c8bfdf90,b93161e6,c4d4a58f,a71ea84a,57c1dd76,c0607b94,33fa3cdd,f759ae7a,23dc38a3,d172fb63,ed47efd3,c3e5aa3c,fd7990cf,1535ce5,b51944f3,270b20f9)
+,S(976666c,35c55997,a759e7ab,85f90d7a,a26ccc40,5b77b8b4,43c7e86e,2d2c78d,6d342c3e,44facf25,bf2db2e4,e20cceef,92c52cfe,b4370f89,60551614,381ed0ff)
+,S(e7790ba7,7737e4e1,c7bb8e8a,5bd89c3a,1fd65b6c,feb2273a,1c12a8cd,f963252b,2635e20,1534b58f,70e754ea,db28998d,f7138ff2,a9e92e1a,810259dc,ffbdba42)
+,S(42cb817f,6bfcec83,f60e3ecd,5b986ac3,b471cec9,975f3efe,37577d81,4576fb0d,ed35e128,b2f9bd90,f2162050,a5737909,144a8596,5075fcce,2708a4de,c45cf49a)
+,S(a0886870,1a239333,ffc60397,ae11f145,31902428,a4fd58f0,2450e0f,412f3cbb,c8486f37,1ad6e034,8e51995,b4887ebb,fc6002c9,9cc00ad6,d8a81f99,1883af52)
+,S(a40cca41,9f101b8b,40fd8e8,b364a52e,e6a9642c,22661aab,3486f25,732c4bb3,f421b69,3ec096f0,2d1e611d,f0701cc3,b0655b9b,95009285,babb150a,9445a910)
+,S(90aef978,bbb0472c,5a75b70b,c9f5755e,c532940f,141a350f,efe604a4,35beb721,f9f05c70,737cf6e4,ca88cde9,2e478ea5,93f58510,9479d187,a5f87e11,e14bbf0d)
+,S(ffc23a81,a0f61f39,600292f6,8db9acb6,d73ae433,bb827f1a,7bc6997,ac3407c3,b76a0612,bce5e139,277c7463,d47cce0,4f313b37,a0746803,6865f284,574d4b66)
+,S(d3ca7b94,40bdf990,4262bc16,298425a6,742c852e,df99ded,2ab0ff50,20a112a5,9daecbac,ca7e825c,4f44281f,9813ce2c,5ef191b7,341fa2cb,1f9780ff,de4d637a)
+,S(2a53a2bb,720ab31c,2a6b7589,ce0e1ac7,469b21ac,d55eeb41,b23b3cca,51bb9f06,11aff933,ffde9646,7a4d0f52,220d06ec,27f7810d,ba44b256,c21a57e3,d451f84e)
+,S(487e5356,80c40287,a6fd2f77,bb8f5cbf,22b2fc71,7fb7487d,5a08474,ada1ac96,53bd7fd5,46070d63,77b65326,d5130445,29c9625,520c3a73,1e990d0d,5aa849c8)
+,S(3e5a5fcf,291da0c1,fc332cfd,62f4b629,cf23c0b4,8209fa29,63de5b99,667b3e16,86987f2c,43389a1f,4b028df,773bb130,8b33d7ef,7f55dc97,b060ded0,fab86825)
+,S(4f90afc5,15a847c2,2c42493d,22dd5704,601840fb,57086b8e,d5f7d779,e3e256f,46e31958,ac2e6892,335f6b08,9ac0d3c2,4ef93994,2b585e33,226ded0f,aab831be)
+,S(be07392b,40be3ea7,a6a73807,121be982,c2ff4b38,a4585a17,82c585c1,e23601fc,3a158457,657c9e8e,7bd775b8,1dbe2109,43172771,e66ec38d,a57a8216,f1f258db)
+,S(86c274e5,2140375f,222f9e6d,47c24e06,ecc2f741,51b5a603,e0563412,fa1108ed,4a02fab9,4065d590,32eb90b6,4c98987d,2703f276,f92c03a2,aa009692,40a96ef8)
+,S(4fd3a6b,e7923898,127b3056,1dac13fe,287277aa,21127626,2678e04f,3573cf97,6498a1a1,63cfecb6,c6cf4b4b,43bc7e96,f07ebea2,3b4380d2,38c0342d,f11173e4)
+,S(cfa435ca,5423bdd7,8aafe78d,1fccfd07,cd2a5f86,ba81918c,b68c7695,dd117c94,bf4c891c,2dff79e,35b77854,66845389,c399b53b,4a9f4cef,d7d68357,10ce1fe8)
+,S(aa5acb1b,79533cc5,9b29e927,77469afd,414119e6,1f3c90c1,cdf93e2c,3e1d446c,b0df29b7,8713c001,fb6d3854,e183767e,8b11bf10,9c75dbc2,6bb408f4,22a498ab)
+,S(1b93c2ec,c21bf558,ddbfa1c4,41bca52f,435c09f5,4d06d175,6353e0a1,545c3d15,56c455ff,718190e6,5ace8a5f,d5c6d263,f72e67b1,a20dcc4a,eb53fb4a,33195ed2)
+,S(1744cbf0,2566d20b,f639438b,55f72b0d,c8480092,246410ac,d8551498,2fb91760,7e77a7a2,32b0b5c5,9d1d5da5,7a7d2570,68dc0f8,4bda1f6c,683f5229,df4c66f5)
+,S(a0be98a5,ed448c02,8c2f8ffc,607b316,1b9cb9a7,a2291bed,d24a8407,ff02582b,e7cc2c6a,2393525,b4d44462,cf6ac8f,76b86981,ddd369a2,274c1971,11da6ea)
+,S(e0e593f5,dab5f7a9,562b2591,d8d75ea3,8b2f2b19,cdc8fe71,14891006,7b845882,9088c762,15e35db5,b3bc2614,1a42ce2c,b5464dc6,49f469c7,e785f5c2,cad67334)
+,S(7824d895,a4982eab,d6f1b928,de7b0d65,ffe5796c,5e492b40,8b9fc879,c29290f5,ae175c68,8e428528,38a2d8bb,fc232c60,d6bcf117,57cdad44,8a4af01a,bcc7ee88)
+,S(49d2e57e,e0b611dc,214e4a2c,d019ae2d,2aa51393,e976cb5c,4211cf10,f9d96e66,ffa0c4ca,88011f72,779b7919,829bb9fb,11c81e4f,a78154d2,5cfa3cb2,bd5b770a)
+,S(da605f6b,8f701a85,86012e8f,83898aea,eeb3de32,e9c7bee8,be2139cf,c75ead00,5ba0c12c,e98a1c1a,89f0ca5e,a93f50fa,5a24307c,6751f633,d699e5ce,9411d246)
+,S(aeeaabeb,cde94e6d,5a1de2bd,1d9c380a,9307be3c,1c32e785,652ffd9c,bac16ff2,30094755,8510ecde,500a52b,f107093f,b62e491a,c2596460,6641abaf,d50bf840)
+,S(62f1892b,35f3fe64,b1ad1e1f,4305f9e8,66ca0a0b,e5cb778c,b0e1feb1,a10c40b7,1a44205e,e600bf4a,2e287f09,c5bedbf,f1f89052,2d14a883,8e1813a7,3f5780d)
+,S(c2091ec5,46772d69,28ebe9f5,50a68083,3a567b33,dae25e94,4ac4d589,96979382,599a765b,d2e89d31,735fa722,a1fe1946,eb610c69,2d5a82b2,3828502d,cad4b31e)
+,S(bfd7c15b,19519235,700e1b23,79fe7c22,e50a2455,5f83dba5,97d00fdf,1b242367,ac6de7de,545ec735,ea127213,fafd287,f4cddac4,8d6fe694,372bd46,bc66b17b)
+,S(d4d4e784,3cabfdf7,903d8507,3831da81,9581629f,74f3cfd1,16b5f635,132ddc7f,1e49611d,582cbacb,fce65a28,44755cb1,d1cd6d4e,2b8f082d,219742d4,61758a6)
+,S(1e575009,c378b34d,f3b434a4,95dd8c31,4945b4f8,df617d02,cddc11c8,8f908fdc,5ce37fa2,810c95a1,2697458c,b8f209cc,10bf2123,3ffa8565,5bd8587f,cf6cdb7)
+,S(b5a66a2e,ac237eb8,a1f5e690,ffdf65e5,c9268c6d,37104ee1,108f95c3,b9408fd0,99005ac0,aaa4f6ea,60842ba8,68668c6f,f8cc3280,307630de,3c43ef28,cbf72798)
+,S(1da39d35,2599593c,66c90b06,3baeaf8d,66bc3a30,21e3f6e6,cfc3ee6,7f26fe0d,9272a05e,b6b0151b,5470d076,c01c3000,f7e58aa7,8fc7fe48,9f285b85,c941311f)
+,S(7f3b10b6,b10000a7,652862d7,21f428fe,4e900c5a,f3844500,2b374434,b5a971b2,b94a2fe0,7907ee33,113bd4c9,256fa08,8c4a4f74,df3c3a9e,1f5d205c,a2ecd385)
+,S(426107c6,61850f9b,f6beb61a,e200c2da,e5dc368a,3f5d18cb,baf84cbd,7a4eb2e0,e1fa7c78,a9e6ed0f,8d713488,bd3afea4,857cece,8e8e54f5,40f8c70c,67e511af)
+,S(555e2656,708fc4c4,312093c2,1489cfa9,d6c94099,680f53e2,fa374a43,45be9697,f5efb7,1e3bb76a,22566e06,c674ba11,a7822422,c6f44cb0,2f2e2be,284db6e7)
+,S(7170b17b,5736e07c,262a927e,725b709d,3360625,4642a8b3,af8fdb12,917dd290,ef437ea3,f8998813,b5ad86e6,9a77ce0b,98b2c6a6,b6df5608,627ae735,30973b1)
+,S(1ca8ab3e,66fefd13,49e329d0,72a44f1,eb4de646,c8930172,aaaec311,5a5c2180,6fc641c9,2a87d776,81dda2a0,f4984ed2,c70103a1,5531b274,fd20efa6,3b0a3c49)
+,S(8352546a,f6d42e82,bf150c1e,41c1a72b,85f057d3,487b4797,7d5e4f8d,c05366b8,76be5ab2,7ca25b12,a888d7e7,21c2b1c9,ac92b0e6,ea0c484b,1383a835,86c5fdb1)
+,S(2f112f7b,1730b9d5,63f988ea,765c48ef,353123a1,4d92e44c,3e988459,9c904cd7,eb348e97,f6487d5a,32f70b16,d2ad1740,27d7a8bd,41a031bb,743a6825,2e34a44f)
+,S(e84023c,164dc6c7,1d72494a,d410a5e4,2eb6fd09,16a70f1d,5192508f,3ea5648a,634f3585,29be0328,89b2f510,622816bd,225aa031,ab145b8a,48a6fc80,1ef4462d)
+,S(951c4d17,45daf527,b803929,114d57f4,4da40342,31c669af,d6e40127,8e28fc6b,f9083b11,a8b30fbb,2c696f60,8ae82627,b9592ef1,c72fc921,bb2ae4ad,5a27f0a7)
+,S(adaa9457,f60b9f3e,e0a5548c,51f945b9,78845841,51ae87fd,689b892f,8ccb19f4,834657f9,2145fefb,8df9b047,55674997,f899b951,40ce5830,2e468588,1761caa6)
+,S(649296b3,9800a3b,516ef3d8,52d7fba4,597f3e35,1d303397,7495fdee,619e6ef7,44ce9c90,10215167,fdc5f078,e2edfebc,5c8b441d,d88cf853,5c78533e,d61df105)
+,S(2c1d7e97,908575bf,38afe2ba,7875f1d6,9f1e9db6,b11f92ce,4bc94d3f,6006266f,9eb250bc,30abd08,bbbb4e4b,bc09cb03,8c6c8ec1,fd1a6ff5,ba23726,da2cf7f)
+,S(b130ff8b,ed4ebc32,78293b10,52fa197,b44adaa7,d1bbd74f,f6d56f9,744647ec,4a0a45e9,b785c7f6,76fd0a95,66e4228,136f60b,dcc1806,212590ff,eea5eb33)
+,S(4f2a5997,62ecb2d9,31ae9c74,ccd71cc,29bf684a,d68f0117,32a0cd50,cb0e6231,debf8db4,5cfc7083,fa700dde,7309edc0,fc44216,cf7bc237,377c0bf5,7ccf17de)
+,S(97f9e9a1,7fbe6e25,e41419a1,8a5a24da,a178c0b,a99e30d1,cab0d2de,7a23c0b,1ab1226b,cceb480,fb4fdc8,70fb5386,6cb622bb,e71d3c0a,4ddda232,57559128)
+,S(e17f3fe5,e9f5d17e,40182067,3b710940,bfd486f1,ad3ef4c,bb93b47d,9d9d8cb,f1126a52,615d3a8a,6b360b26,305124af,44ad7d62,e03ed96b,59c2903b,b5272f58)
+,S(1a39f846,7d638182,900c3e94,538a0fe3,3ae66853,aac36688,7a5a8bb6,7b2fa2de,ae7c1399,5a625a4e,42b4dc01,9d7c7501,18492f3f,bb4567bf,28ddef5b,82903aa5)
+,S(8a5ddc61,27f6fa44,90a93e52,f4faffb8,baa60581,5142be68,cd18692e,b42f5320,5eb62325,853dddf1,a42559eb,bd5dfcc0,328e69a5,fc787389,74c80d1a,896b0d8e)
+,S(117dbfb5,74b7d6fc,d47dc17d,56f5b5da,b864906f,f08d190f,7afe1f9c,fe38c299,4acd2151,30b7144e,437bc923,302640a8,c504712f,6b903b26,bd5db8dd,5d90196b)
+,S(b0c31228,431c7eb5,7310706d,950a2a60,eec84ec7,418199f3,f2985a39,8a70a537,a7de9b34,792876ff,e98c3237,260d8237,85e47c,438fe419,a1048b00,b064ff78)
+,S(7c210cb9,f493275a,e17e6d5b,517606be,736cbc86,5a5897e0,8d1d1f03,f243946f,17b07523,a8bd185c,ea4a92d8,7af1f1dc,920a7fac,30faedb1,c38e3529,1759c63a)
+,S(172e5167,578bed44,6397b519,2b0eca17,177b14b2,f4570aa1,38771610,6ed6e650,9c15752e,4776b805,d63de803,83c73ad3,9d3ba817,c1f88cee,1737cd85,33830ba7)
+,S(161afc40,df25fda1,3637317,3dad8046,c95a6ef3,aa9c19ca,47e9ce2a,20030686,5e6fd083,c1265f76,b4b9c819,3a45e0e8,9926f160,b6257759,ab90d6f0,126089ce)
+,S(b991f2a8,e18aed33,4d769cf8,b6e39144,2d194e90,ee1518d9,459d3ec3,8a16a85f,1d2ba9a6,b89f71c8,ea169d3e,923d2c1,7e6e590e,21b28e8b,1a0d0cd6,1bcab7b0)
+,S(dae0689f,5a6cee77,f796f488,1fb3647c,7d623348,7d5ab502,6f1ca30d,44ca8afc,ee67b670,f730bae2,a15e6964,33be5b95,43ccc1b0,314cdfa8,c6cc8873,c39c329c)
+,S(47a58ccd,75f89c15,46a17ba1,4629fb5b,d72805a4,16a12e61,aeafd8ec,8a7e4e41,c15e7fed,1bbb810e,b4be60bb,61fc1f0a,a4bc43b9,73d94767,9b954f3c,29fdd889)
+,S(f7ae2fd0,2e3b6ee3,30c0697c,94ef65b6,d7582f69,5c509698,cef09b44,6b040e3c,ade9f8aa,c527139b,c54d8e6d,ddd41ac9,5eb49565,79934ea3,6a9dd8ad,d419ca03)
+,S(155f9ea8,9be2ae20,8d7e9c21,4c244a58,ae61cf24,5d5f8dc8,b6c448d9,7c12989d,1204f5f3,840cd19a,fda04abe,6cbf4490,cf5ea60f,4cd17680,8c1ce9d3,65b009ff)
+,S(a83cc9c3,933b5f14,fa5348a0,e0d3ee39,e35057b9,13c5a51,89a61663,1e9d74f6,40aa66d7,fad68476,1e2a9c78,e1fbe478,52b91d11,a283e1db,e30d4baf,f072a74a)
+,S(ca4951cf,c07b5c23,298a20e0,fa44b554,d7acefbd,bf2a6cce,11fc3ea5,67b5f5df,186a8bd7,6700cafa,c79791a6,b28c799a,35aac545,78586050,b8012c4f,9f4afc2)
+,S(cf92dde6,1bad101f,5e71f2a0,dbc2438d,d6760ba5,b84791a9,ae0ce712,9eb6787c,a7d351b7,f3e31e6b,cbcc1f05,329458e2,6c9d8a9d,1137d595,28f53e23,5c3bcbd8)
+,S(b1ab0b3e,cfd8283a,3b79df9b,e83e8b37,b06154a9,6e2a687d,8f51985,129c1179,cdb7f2f3,4bab534a,41f4cd97,b812900c,99e97395,3837f058,12d5d0d6,e9506bbf)
+,S(a1743329,9cd4c9e8,4fb99295,f3febad9,197296a2,98b30354,24e9524a,e1789ce,40994ef4,4cf53577,6f078088,adcfa6d7,5bee11a4,4f2f3fc4,4282f5d7,f77e1afe)
+,S(241b486,4efcac7c,3c7b946a,61a55317,38b31846,607f1e0b,d0a1a2b,d9c0573b,5cce8848,eec61cd3,325f3ba8,fbca403c,2f980159,bad3997c,832f5c98,1fa0d574)
+,S(81f88209,64997984,699559ad,f799ab0b,e3efd354,d258137e,d753e3e4,de91b387,8f9fedb8,5bfd7061,1b9e5caa,5f3cc8da,43bda599,afa29967,a32c71e6,aa26d15c)
+,S(49d64231,bd2c2145,200793d6,4a2ec254,c22da96b,655706fe,8fbf5d49,464e5a5b,faec8eda,b0d72cad,81df8121,671c6dd9,bf986440,3f1a702b,548d4333,c751e825)
+,S(74c14c32,4fad3a41,1c7e1f15,9b740980,6daea24d,9476e938,7e77db6d,66e0ae4,af795203,1fbee5cb,f031a2cb,946e6b65,3ee0165d,abdb89fd,5aa73880,e0641a41)
+,S(88bc209c,7342d94c,be3f4215,81383c6c,930f9c19,d09d91b2,a984b6d7,12a1e7c3,acb7d745,76dd8723,89a88866,e287610d,b817ebe6,1581aa23,46ac994c,4c5b3e08)
+,S(486c8c68,c81ca88c,df7b93c8,5a1525f4,9bee242,676aae77,c1bd85ce,2a6eb3f8,e0fec94b,35fa97c,d5e64870,6f5e6849,d6249004,fb33e34e,c1add26f,4fe52d54)
+,S(4a1efa11,6c588e23,7b5e30fb,5d0ddf37,ba39043d,6e5faf14,e28ceb90,4a681a3,bb196737,3c907165,a8937dd3,1bce476f,65f2acc1,41bd8d53,8fcfbf1a,997b64f4)
+,S(d7745c06,c69609ed,db17f30,8efe7bb4,2632e85b,7f7f792f,8da44294,78eb28d2,7575a75,4d1b2bd5,5fc46e11,b1addb1a,5371f007,f702a97c,ad13f082,39b96a73)
+,S(bd752f2e,a3db27c6,a6a08ced,df74a87c,dc333d50,fd9995f4,9ca7afa4,2be68def,378f8aaf,67478d20,ba4725ed,26d50c62,ef5c576d,da9c24d7,91dec38b,a5e9491a)
+,S(ef588333,15a3c7eb,c6602bff,ace00d5c,55eb304c,7f3301f9,4be457b0,1f224d21,56eb3aab,6253dfbe,3d9a95f7,e843751d,eb52e054,cb5a523f,f46a0c12,b517abd)
+,S(2c1de374,7355825d,a09beea4,f42df241,6b495ce,7edf1f1f,c1dc6043,5253727a,98593660,9082f5d8,8f9986bd,f77672a8,5ff92cd0,28d2c588,73a3b1d3,87a150c2)
+,S(49f8d71b,23e60140,f50c9001,6f39b2e8,b78e2a22,a88f2535,324ff50f,280daf99,f66bb665,4807e7dc,330ec339,3f6fde20,308111c8,1fe42546,22b93a86,b58b04ec)
+,S(365c9f85,754b61ca,2b2a30f9,954f3a52,d18fdf78,db593ceb,6df617ab,189f37be,c43fefe6,aca56bcb,ffa6aced,60a32794,7681b601,22369a3a,f1405a41,5132825e)
+,S(1cf2cfe9,e89668ed,c1a446c4,da311cf2,7e2cb53e,1984a310,8e24e8bf,21f1b5af,71e56dac,43c53094,7b78f104,1a685f23,aebc7b12,e2caf803,6731ef5a,20c966b7)
+,S(f3303479,62660226,f391c26f,a7e87796,219694f8,e01cbd52,25dce636,b48ca3ec,7dea0bf4,c110e945,dbb59ab8,74f83a42,afa585c8,56a93002,6f48f8fa,62762827)
+,S(b689244c,4bc16c88,398664f9,2297ea0,8756a969,1ae7adf0,587c3253,e4b27154,9b488748,1357368c,c97f89a9,b4a75a0,bd7483ae,5c700364,c27d19a8,e450c856)
+,S(bf34fcd2,d6b4371c,fef2f874,5e4be021,a78b4302,240d4517,f3eb1140,638cbe41,ce6888d2,7e326eae,8e772914,e1b43bc0,1ef6a238,27f67546,5464e195,5f97ac02)
+,S(c2097a6d,231bc796,ce85a594,44c00250,d51ffe63,c45b9cd1,10ed4821,118d74fe,58b06413,fc4ac173,e1e3a85a,ca674885,d1f92b3e,5b99f72b,1350b6a0,bfe4ac87)
+,S(874a6222,3d8804f3,a11b1de,3c647aea,e3e81798,40db2618,4d46a330,417afa81,4132a5f6,7986e622,976b181d,5c98f356,b31668e0,ef70f8f,6b13a0ed,af80b429)
+,S(ac7c6e8a,1a05d592,8142227a,b0c3ed46,1f28463c,ccaa3b85,b9784e0a,f5bc605c,1a59a195,581e3397,eba60a0a,963f5c71,c107a9db,68794da4,a08b14b3,118a2186)
+,S(3f13e2d8,d825a3f6,8875c01,a1715a5f,44bc12b8,2f254a65,575b163a,3333342c,baff6882,fb2c2611,ffef76a6,8b5e2293,6a2e6ecf,d7ba6724,3393fa1c,5825e3b7)
+,S(1ebeb354,515e7f39,dc3e2631,51d0630d,aa7e400f,4c9f7cec,4d5f95ec,bfa8fe2d,a2e35cef,c2cdcf,384a2473,c185f3a4,c70724b9,84c72dac,a6ca11f7,ae5c85cf)
+,S(c2dcdb65,b211e765,e6c59218,d12b45d8,b47d8f9c,e22b99a0,d2d19a1d,de02b2ab,e0aa5b9c,a960117a,7289326e,9259f886,8722e032,c96b5237,b146f50e,24f3be50)
+,S(495d69f7,e2a9d144,8e2ed8a9,c038f6c6,7f360b8,270c9b85,841e8791,64bc0d45,5fb3fe2a,1dabce7b,83b4465d,74fac6f7,c48584be,134283e7,bdf59e0,957088d2)
+,S(ceac4569,2139e4f9,701be43d,8da3f515,270a9477,bad5969d,2037ac87,3453bab2,bd1fd9d8,15f4e872,b602f2bd,9604b6b2,f385ea40,d5520b3b,ca32c160,44908070)
+,S(7ed1d0b9,3196b8c0,1cd284cb,c0a206af,4e6dba1a,d6cd406,82f55897,9407e0d,e95a3ac9,6ba60be6,22f4ee73,2d75a9c5,11018ec0,d840ce0a,f1bca18a,1d2801c5)
+,S(72fb366,4f42cec8,940fd436,5ba7cc97,ac5fe4b2,131250fb,a24b7178,a1040b04,c182b1a,93a211f5,f5de5c9b,4b52ce90,63d551dc,a21ee9bc,dbba2653,c47dce41)
+,S(dd06cd8c,9ca91e45,d6720043,d3e6d857,4690192d,59154309,2160f04,6008beea,cdc17327,6eebea3b,f9fa8a7e,e83ebd81,4189705b,900b3ce2,72b85dc6,c41e7ecd)
+,S(80f6129,e90a7f0f,1e650439,8bfedb10,3c708c43,2e2c743,da8a9a99,3978cd13,74d97812,145feff4,a3ef594f,85b644a6,d95a3082,3828c00f,e7226d4f,39deb82a)
+,S(56af34da,f56b508a,eee970af,bafb9dd2,b48f83c,4c051b24,f5bc27e7,105995b6,d41dfe52,9e788e19,89105a4c,c219dcd3,decca65a,dcc5f34d,8a3ab0de,d1ae68bf)
+,S(820225ba,795565b4,c45e29c,4689d91c,148cf693,a1a1c1f6,ca33c44e,4e3f91ee,3622ae5b,c89b9c2e,66bf5a3,17826928,11a0f4f1,4b387334,b24028be,ba4b7db4)
+,S(7925fdbf,cfcc202a,895a1b7c,a8c7f09f,ad388db1,5652b703,3bf232be,a2ea57d2,46f7ef01,c9cb7dc9,1559cf5e,c6d3f5f2,1ebcc21c,a8414d0a,9dc37309,4e90525c)
+,S(4b224b6a,f38ae731,5b316eb,8dbd2b1e,6638794a,9bff79f6,1027f60d,5d81808,3143ea08,b1633002,bbb2ad2e,11ffe5b4,b6dc6888,1fc669d4,23ff9cb1,595c3dac)
+,S(2c0767fa,4135f4eb,602a1a36,e6ce488e,2c1bdd64,aa4113cd,28daf20c,687380ee,ddc3effc,e78d3061,7cc2da71,1373de0,6a65d2b,1050b89a,5f71be3b,fbc16a7)
+,S(83837d3e,e7179a84,ef6ed2d9,41a9f835,37b5a2c2,5d511ef1,982d9bba,50a7ae7c,62201e16,60957b4c,a86f1a49,5a6027b5,fe2294f2,7946c8d8,556024b6,e3b66dbe)
+,S(cf075b34,e560f057,53a8e011,835bf1da,25e50d9e,1d70dd9b,da427109,5895387a,c73209d0,330ff4d2,38e19f6f,33df38d7,2b11d8dd,180d6a14,4b07184,a2127018)
+,S(d583f8ff,9b1875d1,ef468030,e3ebb7,9d06ba2c,1008329d,cb01b883,7c8931a4,f8cfcf1c,3f092ba,6bfcfcc6,9596b508,aaac7c9c,333ba58c,d55be53c,6fae3292)
+,S(551fe9b6,21d2389b,fc185372,342edb1b,27568bb2,da1fe220,3431b792,43eaefaa,6c76904a,e48563cc,c6aff505,7f31119f,ff48e5fe,971223d8,c3badd02,563c24e0)
+,S(1bb778fc,74062f24,b0962be7,bce7c990,51f06394,bc8e6da9,a9d63f6e,d16a80b2,2754f53d,2f4ed167,3d2700b6,8ff036fa,60e9352f,1dd7bbdb,14be1740,61d88318)
+,S(a150af7,1261582f,8949f1a9,3ff8d539,aa0744c4,e97cfbe6,e4a3fe10,e7e364aa,e22a1afe,a68671c2,f9e12471,56e1bf47,100737ed,5f96fab9,9e0df721,eaea4773)
+,S(c94ec3df,727fdf91,d7963a03,8e93d68,835ed2bc,2578780b,7242e15a,e72e2a9e,a476a0e9,7bda53c5,46312b35,f0fad09e,11b2810,b3f570d5,a934d21,7152009c)
+,S(3366b9db,ebe13231,7c542739,4235a72a,f186bda1,784c7f25,5f8b65f7,f146875a,5ea2478,95f52889,42321383,5439195e,6b620619,20171862,eea32726,1345d3cf)
+,S(616c8e6c,e52265ec,cb85ef36,5092b2bb,58bec6be,444c2373,974c38e5,e0e8ba25,4d3d5543,3d6e258c,d8b286f4,5f41249a,724a9890,2f1ef3ca,ba049bf1,cdaa0970)
+,S(74df2177,2e38e84e,8b81d86e,f45dc4a7,2617b3a6,32094b1d,432291f,6a651827,4c32baf,30f09527,fc4abc6f,9c9b9a57,2a9ccf1c,6a1b360c,48746d8c,22e01334)
+,S(1814a1bf,76b74532,979966d1,5ef42faa,532f8dd9,bee0cce5,d68fc500,21accbd1,5f5df5ff,da9d439,b2205ad2,5fa93b9b,7af1746e,9b2eef3,154bfbad,acd46bdc)
+,S(28911e94,98ff7526,badf2287,8e85fbdb,5f444d66,c422a975,c7476c02,b98625cc,5a341cf3,5cf26006,9d869542,fb221ba6,eac150bb,e3809ada,5e4c903c,1e638537)
+,S(d5acff71,e82a455c,3a1ce292,689e8686,f441ce1b,e644e79a,bd6d0efe,29270865,aac6d48f,1b46e970,a044971a,ad13f033,ca8cde96,958d870e,dc7d80,1d26d5e8)
+,S(5cf51c1b,2210d85,9d765e17,32109514,8f03fc57,51004b6a,91f098e2,e2711596,1eeb19e0,610df459,2c31e58e,aa2a2148,17fe9ee,a3995838,f395bdcf,26d5c3b3)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 4096
+,S(21456873,b58e3687,52c75800,8d3bcae,9efaf1f5,c5727842,25e3d854,8fd421cb,a2f2d10,c85e8a0f,4a136ad0,5df991ce,7d3c5585,a263d5cf,da50a4f4,3db76cb0)
+,S(c10de5c0,51ae2d73,28ac06ca,cca840b4,ed7ab204,21c6122f,1d68fe7f,7893d38d,ee30e086,a891484,2ad4041,f9ab9c57,cff1a315,f0642d31,b31c2914,faac99e0)
+,S(be778032,f12c1b77,9bba3d9e,d290ca90,30ac7050,bdd77a2,7eac09be,eea65c0b,8657348b,a1e27a63,1dd2a54b,e2d5270f,4cca817a,219c5378,4d4f73ba,2c932e63)
+,S(a05e7551,f8f090c1,bfc8ffcf,fbf7fd57,9d033163,67d5ee64,b85c4f69,33d0ff6b,8eba561a,f42d43c4,99e1fafd,43b49698,a8f3babc,c9c94c4c,4822cbed,a741b309)
+,S(6e4d47f6,b17501b8,f3b220d3,83cf5f11,a395c0a,f0023988,c4e7b8b0,ef66ed23,e01c4330,16e3e6a9,535f1d40,905e9b3f,8be9f05c,b53e6143,e81091f5,4b76b57d)
+,S(f626750e,b7eacac1,7cf24afd,43345019,c6c32292,c72503ad,d4125d40,67b7e66e,d669f903,67f407d4,5307578c,ee91fa01,f030bb9c,b66c7111,34b91757,1c993f4d)
+,S(437acc60,c555f7c4,778595af,db4676a2,1fc8b3cf,2c8538f,cecbae12,811511f1,985fd2c0,7385fba8,4cf25a1f,46cd2c3e,de8dd359,1c6d20ac,584b4a8d,8a65dd67)
+,S(8d50555c,6245e43c,a619fb76,ce45441e,dc585c7c,4fb2f33e,1c07965e,d4e35f5c,ea828c37,331ad0aa,44d168ce,c328a9f1,c7deaa35,47ee4757,c776fc46,439ea5d2)
+,S(87f5f6ae,580ebfe7,1b2c19c8,cfe770ce,cf8d4223,62718914,eb853f1b,7f4cbaec,eb61df09,12e06f58,ed6d85da,7240dd72,aad00c3c,6a3a9c11,1f378664,cf359386)
+,S(c1cfcacc,b95e6577,4e2a7d12,3cb0071b,3325c27c,5d58beb6,781a30d,ff6306d3,fa9ba55,cd95e721,12d98a19,8e3769ef,8cebb355,dde5b62e,e6f3b8e8,52a3e81d)
+,S(d68bf50c,89f25969,a765af90,854bdb89,d67acdf8,f1e16bff,64868338,8b88e311,b62d1866,55835dcf,8064e13d,aca1e896,2157576,a02e178c,78d27c99,9cce81a9)
+,S(b8d7c25b,8c20438e,702197cd,a3bfc05d,c6577717,c9b6a527,15ef84a0,2c0df867,316b527d,4be0e62a,2015f15a,17a412fb,72ebbffd,b02e53ab,6e5e9791,b771b45c)
+,S(d98b3403,a299106c,9c6fd52a,8abd9ee5,cea9ab0f,17a15b4,7eafc809,c34e356f,bebcd24a,9300c739,9bb3af8c,12fa813c,78c6838,dbfa00a7,4ab09669,4df9700c)
+,S(dcd15a1a,7cccd53e,db08c2b2,c6367126,de55cc46,a4eaf5d3,335ccff2,1238bbdc,7de57d26,bf74764d,bcc7e15b,72ec272c,58061f47,cc0715ec,48bcc032,60e63a81)
+,S(2f6a844e,e758e3cc,8f299e01,ba5753a9,d35e6c51,6a87a683,8f5ce28a,fca17c62,5c29172f,f907c0ef,95e78768,2625c8ff,27e26eb2,cd86df92,b9371203,8b332e73)
+,S(e63add7a,e511eed6,93f62498,17f89221,c7a3a909,253faef9,23f37a64,9e2a2f67,c392df22,5ffa1438,c3d10c6f,813c3956,4f94367d,6fa26c63,1d562049,99a77e0a)
+,S(f9955ec9,20fc68b6,cfcd163f,34bd033f,4ed7dc8c,30da7f16,e41adb,908c9b7b,4dfc49e4,ab583975,90bdfae8,56ce97af,91c92f60,a17df9fe,9ee923b9,9fe2cf14)
+,S(d974d713,bce1db76,c5ea1143,b63ace02,5a2362ae,fe6b84b0,ebb0c49f,22341d7c,991181fa,3ae5f188,38a94047,9ea9e4dc,e8ff9366,78583189,bc340d2b,40481577)
+,S(4f0af691,424d441c,698dfa3e,c3e56bea,e2c52fa3,bfd9ca45,763d7805,33a3037e,caac2486,81590630,b0c67160,89db929d,26a4e15e,b06aa9a5,2e19c92f,a9f9817e)
+,S(ef6300a0,70060df2,3f9818c1,6ff4d315,fb1c7d4d,fef41e85,c96760d1,3cea49e7,a0622360,2def9738,d87803e8,6405bc00,88afa82e,39666246,10f5d935,993334fd)
+,S(fef30954,1cd2a90e,1d473ae3,699ea7cc,ef69fe75,54f7d710,33b1f23,c9e96886,c2479c48,59423c87,5d76f6b1,5c671ed5,c9489af7,79266341,4ca68675,cab64fec)
+,S(457cdf17,b1230409,c3d35a88,390f1bef,859994df,3ba21d2e,ba5f826b,6dcb4fc6,5aff71af,708863df,3074c236,446ddd33,5695c0c1,a45bc482,e0787788,a0e4ede3)
+,S(a66e86f,fe0e9cfc,686ab0fa,11b641f4,28499f3,450d69a0,dbce1895,6181ea39,de0cb1e5,ca720556,7c6756ce,868df6b,5174887a,61afd354,653e759d,b3e3ec64)
+,S(ddad5a09,c37f0de6,67eab59b,fa2cb47f,b79bf6f5,b8b0403b,f689acfa,627f1014,8aed1b91,c9e567b1,9806082c,79ec433e,1a152279,69df00bd,239fd8f3,f8e8d385)
+,S(45c5156b,f1439eaf,16a43b39,5c0a393f,a674e17f,76f96d53,9aa6c99b,49042c42,c9bcc2ed,c5b5c8c4,b17d633c,90d45b9e,1583898e,41bb9d90,1d1b5097,57f5f516)
+,S(c83b3c9b,564906dd,60049c3e,9f6ed0fa,b848366c,3b93650b,7923e9ab,8172a8d7,5709dd74,1326ab97,8853304c,a02315f1,1f0bed5e,bffab6f,467816b4,4c60a332)
+,S(a857354,dd08dc83,ce7b0324,7594e4c6,99692c95,9a4887e5,344cd0a8,7970174e,becb7001,ddafd72f,1f845579,ca8d56d7,2145c8a9,be816924,957ba324,3c396691)
+,S(8bba6b47,88259a19,578adb4b,6f7f51f8,d09eb70,ea790d62,abb2ed45,84f94f33,afa42da3,8526a485,60919f12,d30549e7,1d19608a,81f4cf6e,8e49cb00,2492b143)
+,S(bb4d27eb,412e73ca,d2697d6c,46a143ca,e4420ec9,30440025,47aefb71,c99a53d0,9ec07a19,842a1e5c,9cf9f76b,55ad98d1,9485e683,b6b6700b,c905e190,bd9da19)
+,S(af6f6827,d197688,f00dd3f5,ded1849c,11fc2abd,f90fc7f2,18b33776,e5753277,f9227693,c9405a2b,10e9b725,aac7ed35,eef4281b,ca04e,bd75b143,89323646)
+,S(40453814,445cc67b,e7a4b71a,55e0b993,2b8b3477,f093df6b,f27f55a2,8bad2e1b,ec71d7d5,4e823687,d01d7558,6de9a1a3,7edc927f,e221941f,46051747,a69baab4)
+,S(f35a6c29,bd596f0d,93cabc3d,c07b5f68,300f6ab,8ecde5d5,da8299d,112c7bcf,73fe2c46,e1b13112,718526f9,7a39f1f0,3d47ced1,84a2e4cf,1e32c168,1c470121)
+,S(ecc7ce7e,bbe5da1a,596bf41c,4d19b51,b77f7019,bc431aba,e5ecea57,b095fa93,1ab89d03,9e7c6ddc,7751c9bc,4eb84ed1,b077cc8e,dc828ffa,37426609,e089c8aa)
+,S(559820d6,bb3e47e,f68f48fe,1259da06,cd0b380,1f6bedb7,970c079b,7e373bd9,2373137a,a4d88574,151540cd,ab8cbdbc,5831fb7c,4b901c27,8c9a593,172a64e0)
+,S(9c9b7e18,4e76bd16,856addae,9352590e,310d653d,809ec800,415f3c64,149be4a0,182cd167,55eedfc3,21d71199,7543b26b,d08047d7,c9363e23,20bb9516,da37a146)
+,S(88e4e3d2,2cc3e6f6,19e62ffa,c7a4aff,63b16733,202e5410,52cedde6,9cda2733,ec6e32aa,498a7a30,e1c47136,5671d356,bf174630,d1b984ec,d9453e24,d275e067)
+,S(7f2f8043,8e7d7fcf,593e337,a91b06ad,3ad1c461,fcee7bd5,82df516d,cb1c198f,2cb484f7,5a4472b3,230369f0,79f5e654,8dfdce60,98c4e561,a1310224,13dc1d80)
+,S(fe0c5945,c5e67d74,ed498120,dae194cf,33a3fe5b,ef0f1ac,2c64c292,59827d7c,4ebff1a1,7d59c8c,469fad0c,79ef819a,8a897ce4,c0fa1121,741c03f6,cab0f659)
+,S(ac0662e0,1be37c28,be457bc9,4af19e72,34a9d3e0,8667c009,ec58ee79,7e539642,b3adc375,bdc81a76,8385c9e7,2ecec61e,9b2b21d2,55f65450,c5956187,837f3767)
+,S(15e0f7bc,d74e77a,af933c13,6cdc5b1a,1622de61,251090a8,f8509b05,d7dd527e,4d51a063,1fb81f2,fa1ef534,5fa306c1,a0c64f94,66961cc8,b574b06e,646767ea)
+,S(e4119d0f,b79bd8c,e1687abd,4ad63790,814f9972,50fac9a4,f1b52d71,93ce282c,cabde097,8f9a566e,32ab229e,63bdfbd3,89f01378,c7d27b0b,f101cc3b,36bf3fe6)
+,S(27a5b030,2005a21,5d89c0b3,4e4ee323,5e94742c,262a89b9,29e286c0,ab8e3c24,4548d58c,3792f7fb,18238cfc,993fdb26,f755379c,e0ed1b0,4df26132,8f987a02)
+,S(a18ec59f,7621c8a0,59bcad5a,12d3f536,142d5c94,4c7a54d8,b9206132,d993e08,abd8204e,867035ac,8cde70cc,f7daa29b,d47b888e,1faa9be9,b20744e6,ec5a43a)
+,S(9bcc19a6,71b787cb,9da72c91,8d7b2264,b9497ab6,313de85d,c3efbeaa,2f492219,4bea790f,67b8100b,9ad9a301,61e3bd9e,583daec8,b77f4628,568ed554,70894bbc)
+,S(7ccb2731,cc3eb3a3,36d36af7,f44a0a64,e23aa0b1,12ba0e6a,11280c5e,1ab36205,8d60552,1813ede4,dcfcbe46,c75c5aef,7ec40c69,99cf301b,28b0e875,3031c6af)
+,S(94107245,fa13427a,7d21f7c7,cfe0c4e3,2943821f,da0f77b4,23fde091,ba596939,89846c62,7868b1c7,4c546492,dd4821d0,cfe15fae,36896af4,547deea9,295ccf84)
+,S(959bf7d3,989d3460,5f4b8f3c,cd12ed86,cd0a2a93,a8d4e1fa,aeb5d6bf,24f1115d,7cc703f3,5417d7b2,b7229626,558be68c,66a915fd,7cc52829,dc98c81e,c0162b7f)
+,S(8e92173,ff2de4bd,f468e2cb,fbf6264c,5fff8f23,2fb57e1d,2a07ee75,3b45e7ac,2655133c,8833040e,4ef4c98c,e5c75818,be781f42,cc0b7314,7baa3ef7,99cc017d)
+,S(4acbd2e6,98f349cc,42998c5c,53de7b6,3dc29b1,c2b8a569,48cd3489,190f0255,8837f8d4,15b3551,4544878e,1a71922a,ba4a0790,22c74b60,325c6f49,a411b978)
+,S(f79cfd2e,b63f6be3,bf0f12d1,fea3524b,1188959a,425f5e38,fa569648,df433fce,9e412cf1,698805e2,a92114de,5694a925,17c31f49,ddca7e0d,b2d83d80,74d92b2b)
+,S(41910c81,78f7a61d,7957c065,5d7e2596,a0e6d5e9,a0a9cf23,28f23569,5d818c76,26b318c7,e8a880ec,94c59a6b,d6f1cad,84031d0,e62ded95,1e265ba8,c3603367)
+,S(5a864466,9fd276ac,ad8782d3,51bc27b4,9445835b,75f70a80,2ef42a0b,4885cfe3,b2510d98,60be4e66,edb8c935,3c8ff8d,2e008c37,6dd271b0,1f77276b,f3a5a48b)
+,S(5e3974b8,1b87348e,e3ae5c83,2dc56d1,85004b16,90445b74,1b8e262b,ecfe0e01,63f644bc,397a1809,a4d57ba8,f18f0372,cd4fd083,1c3d3449,1ef2a654,46275568)
+,S(154e9c88,589ff342,6fe2eb5e,dd6e1db,e253498b,2c0b3e0,52e84211,caf9cc4e,3a897093,df7d31c3,754f84c2,68b0594e,85cfd4a7,c2731fce,e01cc3bc,2bbc383e)
+,S(b95aa134,e48967f1,bd3a7a48,d89d550e,3c3c3c6b,3c73de48,f2e6fba1,81c93faa,b6f2d3b8,8d0821b0,6b1134d7,ddc898fc,e84898fc,4719f8aa,e3570daf,168b03e8)
+,S(316564c4,ff00502c,f159db79,62984516,4d6d24c9,1f20ba73,66669808,95e58b92,6110a6d5,39ddc,d4185b72,cc576b7d,a4577e80,3dd47a92,d4bf346d,ec5905f5)
+,S(222b179c,29ff89ee,d6f2a0d2,d38c6246,33237c5f,7803d8c5,e4315f93,6a9bd225,8bddc333,6eeb3cee,a0c3ac01,e7caf4f2,f44a50f2,587e3e31,7046c85b,a57cb6f4)
+,S(10347fab,33fb4ee5,6cbf75ac,6cb768dd,f51f9b0c,5498466a,6679439a,32048904,a351f45e,30f32caf,e10d99f6,9e9e4be,c3f4aa22,5388984,bc45bb78,c0c5148e)
+,S(7048c0f3,1e600042,4544e9f6,e26783d7,baeb411b,a2c29c7a,5aed8953,bf831629,4683ad69,1d9f14a3,f67131bc,55d28c61,1b78b2aa,329668fa,8fc41736,c95840f7)
+,S(a65f7371,b35de05a,78b71171,40ea9e02,7b777785,13fdcc3b,484ad9a0,4bcfa1a3,41d1268a,77b31744,5a270f73,956bbcfa,3f291770,d248d1e3,364b4aba,72b961c6)
+,S(dfa35552,8518d1da,ee31f04a,2673d053,11db4eee,cdc81f15,bce79c64,3267a315,19ed047b,4fa52430,18863cd1,d8ade0d7,dad60ecf,10b767ab,52f5cef5,9eea9a8a)
+,S(663ec2a0,80564f1f,943a25b7,2f60d3a4,17b62130,3015e17c,85782460,c601a48d,fce25852,5a4dbb52,4057f8fb,a4393116,ebcffea5,5ae3459d,3d8b19b6,a0387232)
+,S(cc714eaf,26f9960a,b2cb139b,d2fa0928,7a309c9b,ea852537,e10b6333,2912431a,c1c5c0c,48c98ea9,b57eb13c,fa64146e,67a95569,b45b8643,7752b037,9269d070)
+,S(a6ceed6a,bb8f1ac6,13799527,38a19b35,ece44537,e74e9185,a4ce3939,c14f8e77,c0090ebe,d410f2e0,2e56b4b6,adfd5495,488c2930,2c5e7a61,3926880a,88beedae)
+,S(e0b0c34c,8d4f77f1,dd09ea34,8b0ec683,cb5ca777,6720546e,27ffcf55,a5e5bded,ed4adb20,ab5da65c,2d1d5d68,9ad63ebd,90170904,65f7ad03,1bf3d811,f407d09f)
+,S(2362ff0b,9a2d0f7f,d779a83,8b26da93,65730d32,bc4411ef,fc4fd182,d9e486a6,d3eb4ee4,42bd6157,557e4e9a,dcc9c103,892ca05f,5c5af804,f736ecee,d8a6fc3e)
+,S(2f1636ab,a1516634,a00a464b,aa30c507,af25e83,3f7f6fdd,ccf0706e,d5fb57a0,a664c955,c24a54ee,d56f1aaf,fc853c2f,6a81c53f,1ee36c48,46b26452,fcbcc054)
+,S(243a8fff,6230829c,73368eed,fb4d62f5,bf478b4f,1752400a,91ac177f,70c303ac,29318b21,9f371dfe,4048c4b1,2f5317cc,b2e9c44f,ed72b537,a2f56d06,65229235)
+,S(b17182a8,5f442a65,839230ca,5cc8f67e,835e54b,e0296c6d,e2b62298,74ae804e,11a4fbcb,9f6f8775,9d131a81,939e0125,7f7b4fca,e36ea644,4da3cc16,a161e5aa)
+,S(5c9abfd1,9cae1a47,bebdd324,d11cf758,a1224471,6e83795,e42ff5f5,a8142a6f,38a38db6,f64d9d07,4a08a909,28768bdd,adbdd858,79ec847d,28c94dd3,a122e0d)
+,S(44a8a4f2,ec3dd02c,226ae0af,d73a12b9,726e03c3,2a41099e,b70cdce2,767e390c,b7e18dd1,e6adcd88,1d1dbead,e1c83ed0,1f1d7b2e,50246539,b6bc2811,d63233b7)
+,S(8e477766,c4de01c2,5cc17218,7f3cb6f0,dbc8eb54,fa888911,33131b7c,219e6e13,ba8f447f,10286c86,d1330c82,2647a999,b4b60e56,4131986,a6c05128,a480d83)
+,S(c5f862ce,dd253879,8100eea2,92e860fa,321d7709,596a4dfd,6faf6345,82fcd3ae,81ab1260,684fd3d8,1b47c5d4,d5f0c319,93ae7db4,fed1a781,61d9d9d4,50ff831e)
+,S(a674db01,836fe328,8566d977,753ebc2e,d55f0116,5ebf0349,51caecd6,ebf899db,12ae8327,737f7db3,56e26fb4,1ab306e0,2294136d,71206f43,78300b95,60f580f)
+,S(b0cf999e,f11dea14,3e6b6254,aedf30aa,ba1e8e92,96c500f5,481eee45,a0e15adb,e4970d00,e02adc6a,be5e2433,7e017dab,17a61de1,d977ee99,969591,91a5563a)
+,S(b3615f09,29f9b2a0,6a4c68ef,c844ae5,54959ffd,f03f9266,f918f16a,b517380b,31a7675b,83677cc6,ca87c525,27fbba60,d06ea317,fefb17a4,7d7a4242,3595f1d4)
+,S(7be97bde,b271f807,96930353,b82c3cd2,c6cce373,198572c7,d289511d,7cf262a1,1af89a8b,cfa4a399,bce5bc21,e26c97d0,5126f8c3,211d8051,626c4f2e,c6f128b6)
+,S(692e447d,df9c77f0,2db1d34,101bc355,519d40b1,3fff2cbc,aafeb555,29473d4d,d21950ec,fb7bb723,4e4e48c1,98b93a10,8a85bb5d,5228116e,da6f5cfd,8968fda)
+,S(61b6fe3a,21b0bbd2,dfccad11,5123db4a,98058bbd,4f8a61b5,e416b03d,b1414243,75d3dabe,f3e2266d,65d408ef,af6b32da,7591f08c,7fe7de,ff20b9d6,7a3a8a8c)
+,S(fe0f9f,aa49555,2afe97f,8462869e,e8a584ac,3c3fba4b,886208f9,fe260ec2,a9c0fd7b,cfa239a0,299afa47,e2861197,f382a331,7607e129,967bb22d,3ae3077)
+,S(7f7c9a0,a240180d,c645e77e,c628bff8,fff90d48,c85d2fdb,faaf76d9,b93e26a2,1b12ec74,f801fbe3,ddeeb37b,c940c605,84b0ef14,85e9d888,f3f81c05,607d1222)
+,S(3e444ef3,b77b49c2,75aa0524,77da59d5,a68dc6ee,6288e2ce,140512,92e54c60,e211ba3c,6860a898,9e1ee04c,ea9ddf52,25ed88a2,c6ecd9fe,3c2fd500,88367b7)
+,S(4844747d,d33f7e4d,39aee79f,138b5fd9,223b4e51,c86e4894,c917a3d4,746d824,68cd147,2560b5d1,6b9bf538,b7f1e193,d2f220f9,ed9f742b,d36a003c,28e2357c)
+,S(f0211c1c,8f87fb96,bd591255,6a799865,7382380d,6b5b020d,9095f482,4e8f531d,649112c5,9cf7a8cf,7f9d920a,6b6d1102,d92441f1,1bde7561,9cda8eb4,a26d7493)
+,S(918118dc,15520a31,c715adcb,3e02ca4a,4d77c92e,310ef057,3f9c7a4b,d5d2d54d,37d2c580,337de379,925506ab,c6b7d9,4a61584f,4cb2179d,560d3a7b,406873af)
+,S(78734d5d,833a5d24,5546e5bf,9d3e5ce5,61f818c4,a4c90fab,c8ae4630,a2c307f4,4b150c27,e054fdad,73506310,80eb5308,b39c6861,23b851ba,aa2349f2,c26b5981)
+,S(ee988075,34a02de2,9fda41b1,c821c41d,3ddd5d85,9c5a4ce0,d14ad743,25943f13,ba7fda65,4389494b,40a9fbbb,4b72739b,6f85effe,245b895c,b8c7e423,8d6b7973)
+,S(4a821b26,bd1326a8,26be6fec,b90229f7,d7a37a2a,c49e97a2,5bddabef,e854e509,8a645892,37ea07bd,929aee46,6fad63bb,5612de36,cb951200,b9faaec8,b11bfdd8)
+,S(23658500,fe8b5ddb,93dd3b50,a46f9914,d04af9d2,2a786be5,9c0fa7be,7c3eb2bf,840e5cca,f9f3e8bf,fe51c1d0,a84de234,d7122cef,fa1f0ed8,9f1701ff,d17c40d3)
+,S(71dccb97,7f8e77f5,a03c8e8d,e4b2a30,11d01e13,549949ff,42af13cf,d7ecf208,b70ad10a,5f03ad94,dc8d91dc,e7797eca,6ace74cb,4715bf6d,2b628bd5,f767f34f)
+,S(6174a230,e15b2584,7a25217b,9d95f07a,e183f2e4,74d0503e,108994cd,69d20e6b,18cda952,ccd68c2a,5d78060c,6849fb21,e2379b48,425003c0,6f148a34,bf876efb)
+,S(57cfc1ee,38d905d2,897dee9d,105fd4b6,90967618,2a2a5d3d,70781cc,9134bb97,bf6b5fa6,4de9110e,7d26e67f,65cd2765,fcedc182,1627243d,a85bc955,2bdcac33)
+,S(26605be2,e03705ea,7f199cad,d4d6e711,9805453d,6d4feea5,ec2ae3f8,cdba59c,ced5f775,b62bddf,5935acd,9786847c,e7825da1,5807b117,7459f51b,72fe5774)
+,S(6d89e2a6,9ff96c49,a3110a5e,7e17421c,4ca2d07e,6e807a3a,98d79954,7fde2457,4835767c,8f96da1e,78f1788,d9764dea,e4e4a0cd,238ff35d,851ee7d0,9c915df3)
+,S(e3607608,338f4229,d77c51fa,cef2697e,f6010c8d,5138e0c6,2b724ad5,6ae79a74,da6a0617,a42d6ccb,44155f27,7c56c58d,42d6037,d234f1ee,ffd720d9,2ae23373)
+,S(c8cf20c0,c12de1ba,1ad4dd44,46f76533,7cfefc3e,213c426a,e0cd25ee,2e8bea9a,ef7285a5,ea7393a0,cd78ea31,ef74f605,3d3312ba,f17bf6a0,77b919b2,33227ed2)
+,S(f3d2870,fe782b7e,26a1a4f,9c7c3ba9,30e0ee0d,df6593f1,9bf11509,1fa63477,e470c266,ae26fadc,b2780985,9b9d60ca,fcbd9de3,5dfdfb67,9f4fd450,4ed6f3fc)
+,S(702a6778,bdf2f3bc,4ee954d8,1e7acda3,1df7127e,a7920e59,a7028253,9019c6c9,2ce19ef9,10d773d0,cc32a503,83f9e968,ca3e407c,c1dfb652,377d08dd,1dca5b96)
+,S(ea85cddf,4f79d7d2,a5db06ff,f1c1e3b0,87b0242e,1d7de713,53d8f73e,1bc83888,3806d40d,ccd867c2,2d166056,77d2d64f,d7433dd4,b1e83e25,91860599,2e66fb83)
+,S(d0631e8b,30ef6467,de6af60e,61b99112,1949b324,786ff1c2,fe633249,a832aec5,deaf31e3,703df166,b0f92ee4,eff1cc02,684911dd,40054bed,4b21d4da,17f4c05c)
+,S(b56cb88b,617a7104,c205e089,b83320c0,5dce438a,50411e5a,d342e9,8b258a3b,757edc72,52d76fbc,24a5515e,417625ae,11db0072,24c02fe1,1e249064,b5127800)
+,S(e91ffec8,bc3fa3bf,b0a600b6,89db92ea,7c3ad411,d025a42,95570596,f44702a8,38fd56ef,1f7b476b,2e36aff7,73e190b8,61ec6370,f6ae524,d5dea16d,cc4833c1)
+,S(4cd9e6c4,8bf7b1ea,9f855b14,fc904ad4,5e3bb71a,5745b449,e1ab3165,3bdf53b1,b5a075d5,ca9060b7,7d3a00c3,6fbc6404,88df6846,c712afdb,1115798,f382b4e9)
+,S(abb07ce9,c4b711ab,d01a12ba,45f0040d,e3ff5a4,e59140d7,cf4ff289,42b5cde0,a8a0e68,350a88b2,397a162f,fc969d28,ed937f60,4704dcf5,2faf755b,d21f503b)
+,S(95fac51a,c9deb5d2,b794423,a71cd282,b0604afa,bb3160ec,557a8b74,c578f18b,da99fcf2,abf21cca,c6f4e89b,de2a6e9e,ad199cb4,b97f4122,4f68bb47,b7caead8)
+,S(2ecd3e62,b79b4f69,609f33f,2042b56,bad2a9a4,18e2852e,9e8f0d41,1fba8ab9,ef964275,95061068,478e11ec,942b6a2d,99e5b557,830ed0c2,c4291305,41104046)
+,S(437d446a,d139d88a,b5437f06,6fdf8acf,7b538798,6baf9551,a414fd4f,101a6440,6c532bb3,38a34a07,28d3273f,e9d9c70,aa79c484,6cb337ed,b41f6029,1e2caa13)
+,S(63149b01,94b4955c,1b7e9d51,24e7e7d0,4bb5d902,7e86e63d,f3add9c4,8ab2a44c,c867234b,b4ed27d0,dcdf544,be060a12,4c460c5,7a9312b1,46d2bb61,fdfa6c1a)
+,S(78e509ae,99e6469c,41c44dd6,868ee402,8fda1cf8,2c83be01,9fdf912c,1e638bfa,ff3b584c,5ffcb1af,4980e2b3,ace00f12,3be630be,cd91d045,4e031120,245e92be)
+,S(cb1d5bf3,f97b2bc4,bb33babc,72de78ea,34cd0a0c,e841cb55,7b3dbc98,61e1544d,e619e8a,dac79a61,eb46add0,96bbcbe1,31d33a6e,b6c99220,123dc9ac,3f27df60)
+,S(3247eaa3,9ed5b604,d3038127,9661f350,53ddad8b,8e29d0fa,5c27ed6f,551cf374,1d29a713,d7dd351d,87175b49,afab518b,f268ce81,7fa39ccb,f08b3c58,de1e5378)
+,S(d493ab52,8d6c627e,aa3dbd3c,8d809ba9,8a9fe920,307a0c66,2917f8cf,f68b3941,30e4336d,e1621a2f,fe7247ff,157a37c1,edc4f83b,e9fbd84c,af4f96b,8997c7ad)
+,S(8dfac8d8,b65eec8a,a65f96b5,571830d9,22469450,42fb2baa,f76a4db2,ea5258c6,c204e9c0,72f643a4,1f53d8fa,dc66e3f0,fdf0d000,c27a5492,6323b2bf,b376af16)
+,S(331ca867,1098b530,1b1e6f12,d231793c,de67de5c,640f0a1b,fbfe485e,5d2adff9,b52fb89,3a466c80,ae61d534,cb03fde5,95078592,1da21e0a,a8103d7c,c2e3d8f3)
+,S(f34a338b,bb05db6d,55beb49e,526c9d49,fd515792,f407397d,3b520fda,3ffcf26d,6a6921c,4831df6d,91e7cafe,869c4274,faada27d,9d09175e,e86a0b9e,dd70910a)
+,S(56d97dfb,284c7417,2e08fb73,3a2d0305,ff774495,2f229bed,cd36e7ff,6058e75f,3775df48,aeaafe14,a8005434,dfc19538,2d10ca90,d05bcba8,edddb2ce,4a4ed7d1)
+,S(70e668b0,e854cd8d,d3469cc8,ffab1709,2d9341c4,4831196d,72d9673b,43dfbf7a,60567ba3,5546cd93,f2c356e3,927dc89a,c43fdf50,5e33ca9b,52552587,c905e311)
+,S(675af615,9fb50100,56ebed3f,4c9784d1,17538d58,afc5ec75,fa93ee00,29d32390,c501aa90,4f9dfa9d,78107844,983e17b4,34872e3a,a94e37fb,6677186c,fa1abdc1)
+,S(99f8e5cc,86ac5587,81a67270,3059442,88b19703,551474a9,9d433d6f,37672d90,30148ff0,9fa33b4f,f4410d57,9afcb705,c1146663,bdbd0fbc,8434f4f8,eacb09dd)
+,S(8dcec207,3d74b9bb,bd47f52c,394b263b,e71881af,363bcd80,9adc345c,b9ce9892,d8bc1ef1,79ac54e2,68a685a4,db35e3cb,5b6774d8,e8d6b738,f4d65b66,86782a5d)
+,S(d83f7e8d,adf27d5a,f8502d8,3ab81001,a2219805,d942cbfc,76db2764,c4235773,48472e1b,2609f81a,8b12326b,1b19b422,763b0ed9,d6fd67,51751c2f,8aa46c2)
+,S(e6f8bcf5,d9ea8209,cb46ab60,643555e0,d0569f3a,dc62ac76,edc09a43,e02fea2a,7974cbc9,5a9dde1f,34560043,7b628eac,3641498e,612c19d9,9a79ae4c,cbde2d82)
+,S(d2f30716,e4c1a665,a37d0606,3987d0c5,c19c072b,f1cca8ae,cd0e4d8,6a9e8c1a,e26e6d9,9fbd198a,ab83d0aa,ea53228b,539efd37,ee7ee791,365cabd3,8850eb29)
+,S(d7a891eb,551ae5ac,baf366b8,65755a56,edc7bbce,7304a806,2729655c,f7f61cf8,8a7d915c,3a9a1500,616205eb,798915fd,9b33d7b0,6671e9ab,cf02b5f4,667173ab)
+,S(5bb03484,f02ef87a,fa07f852,e3ec0664,67ffdc38,39fa28db,de0da07,2fc31246,e0515751,c377266e,ff95f755,f9c9373d,226ccb66,3678e8ef,176af5f,2fea3504)
+,S(58716b31,48a0cac1,2024760,60d3734d,ab066ad8,c0f8d8ed,cf5824ea,83e111ce,71ae487,701d16a9,c1d2ab68,1ec7c8b5,8367a4f0,179dfc18,6778579c,553cf608)
+,S(4a344869,db8d561d,96944c8,94a3c196,8d649fcc,bd430c7d,4a66ef0c,dc2ca550,285433f1,ff0e7dba,5bae081c,1b33c762,6f30224e,dcacfe66,46787818,da0f810a)
+,S(3ecc369b,e7789b92,cf1448ee,28c0448e,ebc5d277,a8bdb5bc,a22d3151,5e246f7c,a5532e1,47848951,cf11e065,3f0627c4,6530436a,5f3773f2,b02c9bea,c1b60e78)
+,S(28a5d794,21db38dc,8d7c8cf9,d120a3c9,97eea170,f0f6ed43,7222bf4e,27f170be,88cb09e5,ea40b566,39cce9ee,1245384d,2f02f983,3b3116b7,31ae5576,daed7cf9)
+,S(4f54f945,b3afc07,c38e1aae,16dafcbb,b7c5097e,4895a789,e70e0993,cbc905f,6ba69303,24adb3b1,2fc1f8c7,8ea58729,5115adad,52bb1138,7281b9b2,997fa597)
+,S(f490bc4a,20f1ecbe,ac2dbbd0,56f2bb77,d258a914,9b0732a,f29aef2f,7ec25f47,aec6fa89,74c124a6,576475a,60931a6b,533d0da6,4e621fe9,c298f03c,a894336)
+,S(73b2f8d0,e91e2516,d2ebe348,85b973d,4a0c7919,1ac857b4,74f713d7,348d343d,9dd7a951,efdaa060,19ec71b,e41b294,d047ab97,d0cef4ce,25a607f2,f11bbc26)
+,S(d911f5e9,977489d2,847aeb66,8c3cdc6a,ffbc7b5f,4a5aff62,1761ee01,567c5647,3ee4afd0,2ef6d3af,a2b16d34,b59444a4,2c70b3d,4db17788,ad3aac57,184e02da)
+,S(87b695f1,5c5d7852,88218586,96bca8c1,9c5a6f3e,f23786d1,fe010fd,d063b0c3,21b54a,46ee82fa,bb5ffe0,e3137892,31623502,9a8e0505,645a9ec9,29984895)
+,S(39de5a90,4ba6989e,5d16dda,a7ff67b2,15e08f3f,b593d7a8,4b6babe2,ca25c658,eaf5e6c4,1e1e2fc8,c1581f6,211bc8cb,34dcc08d,58f570a6,e6719626,7124c019)
+,S(18c1f673,ca19f805,c426162f,11e7eaea,c675974b,6b4cf0f5,9eb03288,83bb0af1,ad1690ae,65783091,27f602fb,93652b59,d7507414,e76d9b3a,82fef166,68b7aecc)
+,S(8d70ebda,893e8d03,d15fbd68,67528b7d,308ddee7,b2620698,15e7f3c7,332d42a1,254be26e,d9e9009f,e4aceb8a,b97020a9,9196a9be,60777fb3,a9d1243c,66df1707)
+,S(c32fa0af,ab39b1c0,c96852cf,8e2382e3,93e5b59d,2e83ed50,d5307a0,14ea330,381e8afb,85d47c3d,dc5da037,d6bd82aa,ff2324ef,ab0e48d5,5da3fcca,bf0ee3da)
+,S(c350235f,e5ad084a,1aaaee80,d156b302,d34ec03,360a7c0d,3a883cb5,19f4b27,e5ea7c5d,3184e9,b62fc3a9,6c8bb9ae,72535fc0,497f1b58,67bbae06,672a1f79)
+,S(8ef5e1f4,8d905df,dbbba4b2,d4b22162,db839ba5,b28c755d,46bc2f00,e25e20d5,6300d9e3,11971dd8,a3e88192,84f3a228,9986270,45b901a1,80f831b2,4153103b)
+,S(9b3783f9,c638a6fc,166aa2a3,3a40d95f,35a4e7a6,c8cb5fb5,1e596b9a,f285279c,41b2dd9,c3abce77,fcf798a9,159f36c8,94b55ac6,7c917de8,75b18cd4,e70dcaf0)
+,S(c262215d,720180ac,669f0bb6,885dceb1,2c941730,93e561c2,660a4a1e,cdf0a244,7fea7ed7,f654741c,c67b12b9,f115aa40,ce427cb3,8c6498f3,8bd291a9,d73e9f2d)
+,S(bb72f723,f0a16f09,7716272b,b905a111,c290c229,94f400dc,c6a24814,f41816f9,52a83ee6,53214a5,3ed2b13b,a367324e,e5606fc2,e3dc05ae,7ce0cf05,ccd6c36a)
+,S(d896a5a9,a833d66,51b17632,70b03d36,eb423236,bf3b2b7b,6b2ba97a,f9282a03,e8a823f,ecec375e,280e0d50,49625dc2,1f48e269,77ab5eb1,b467d3e8,a0fccb37)
+,S(198cb33d,9a2b790a,2d6fa355,58733bc7,f64cad76,e3921dbd,8d7a1f,8db52b64,c7e93702,ad7df0a4,94fba344,8a8157bc,eba10ee2,8f66f000,7e7f7655,8e6b4a74)
+,S(4354e475,81d63d84,df19bd08,d98b2315,67a55550,477e1c53,cd425854,e67cd81a,a612c262,74d79c46,89734884,5b87ef50,29d0f87b,4a06e4a2,8ab36bee,ae6a6ce3)
+,S(d956c71c,1c8b110e,19f96ffe,5709f2b2,83a095ad,977878fe,287de35f,283b2606,7c029c97,9a807375,bb589c12,a20ce37c,75178be2,5d5af713,f4fd4070,429c8d0)
+,S(2c04b299,1775ae36,ed7d5b1b,d9b0e65e,fb2bff8,ab99dc97,2cd860fe,19b1789d,8b3f3b00,6d63c81a,86f225a,bd8e658d,c9c4c1d6,6787678b,6fa4a692,bc7f78e6)
+,S(c7897c17,debd6456,a81f8d96,c0ea580b,db5daffb,5fc8e8e8,9c8612b3,7b229f7,f7334550,d20a1a21,c422f73e,d23fb159,2fb3d9b7,ca61d7b,6e124fa4,147ea63c)
+,S(3b37b93e,ff554f0c,7e7f36b1,864ecb73,7b33a93f,6ff31d6,9ea18aab,a9487505,50ccac12,e071f469,3f5e5339,462a0cb8,66bde539,5842ff44,620f7acc,aff09a71)
+,S(4584ea49,8a2785e0,b12c86d5,2b839212,f21b2e33,3b64bb0a,9713674e,66216547,2851de5a,b67354cd,6610dd4c,91aaf4ce,b75c4c97,26d524d7,69ae0ba7,997ad79c)
+,S(c0c971d9,f5644eac,851ae8a1,d87b4f09,a802ae07,32d9b5a2,d9589051,f139963c,83e07a5a,2b7614c,c064b4f,815b8a76,6df7eeb6,449fdd50,5c43faaf,b0bd075f)
+,S(370e8fd0,858c6fbc,f479deed,f35fef5e,80cd2338,90d4b227,1867ea90,6cd15b5f,ef382477,fd2dec6a,fce439ba,9b341a21,17d6ecf4,c8c8d63f,b5775094,6cedcaab)
+,S(ad402a30,99c5d5dd,c7ad9631,b592d5a5,862e8d3b,5ed47dfa,c288193d,69366625,b8c0d468,5d0eadfb,9f7e4ce6,11c61f5,7098da29,aaed61f7,6a50961b,b45b7c5)
+,S(ec16de3f,32ea8f58,c1dc93da,d1cabecb,5ca33ce2,e3fa3bfe,bf0ee989,f3ebf5f9,aeec3532,c5391ce6,1e23bea4,5b7b5847,2c36cb8a,6c5f1363,e457c003,b18824fd)
+,S(5a51f9d5,f5c48520,dbd826b9,49f62f67,c299a228,259e09cb,b3bd6fe2,f4b0e60b,3c498d86,225a83a1,f506eb62,a2e530f9,511c56a2,eeed77a4,18ddec4f,4404b9f5)
+,S(9696865f,64523eaa,456ea65c,40ca6e0b,12c6e6a0,211cf8dc,20963f03,7980b684,8f879d8b,491f11a4,1f0025f7,b35dc8e7,c71e420d,7d7d9001,bf5da111,9ad6c2c7)
+,S(80c43c8f,6325cc30,8065d4c8,6e3d7bec,6ed85f74,412f6127,4fc3ae49,b1e185a5,31dfbe69,a48f1f39,a0cca355,f3d68f28,cbf3e14f,7d47cfc7,d9e82e25,19bdc292)
+,S(54940550,ec4a6ca7,561946c0,65769b4d,d4683f1d,11dfda66,4aa2f8cb,8f1ab2d7,f41aef26,64466fa,ecc076ed,cd383d3f,132b4fe7,5a17f16c,c394b6ec,e4079378)
+,S(a9787f8,42b3549a,9a3bea8e,4182555,99addeb6,416118bd,901afd9d,ad4c134,4efc4f67,65c7cf5,ccc2336a,e9eb14c5,a1361067,7632ce89,68033d57,4bc686b0)
+,S(fa83e81d,63b85491,92e800e9,7a422ca8,35c03bb1,5579bc05,bdb4367,198a24da,779940b2,ad301a1e,205c0504,fe3ea104,cef6a459,e0479849,90fc94a6,871954eb)
+,S(ae9a8d1c,a8a560e4,8a373666,544a7b9c,84bf0475,9de1a63e,4a20b55a,2f25c132,b9b0bd66,4c46edfb,ca2a0bb3,a94ff043,c00c1441,9f1df886,2aaadc02,e25017dc)
+,S(a2f47145,296dd22b,3a6f5185,47ab0957,4d3487b6,8786f87,6758cbe3,5f4c0ae7,2ec4171c,15e7a82a,f6ace24a,60176f7b,6239561f,3c369a9e,efc80d52,3fd216e8)
+,S(1bdcf82f,a7dd441d,91332a11,35f50be8,4d275358,f95df300,25187f2f,9828f219,99f12980,92a3ecf3,dbeb290a,67d72aae,6acd9cfc,c21918e8,9ff7ad4e,548d3510)
+,S(b73c91e1,ae33767b,11bd329,361fdae6,36642d92,6c2792b6,e19b6e3f,947a5be7,b6502357,11ffe955,be5798d1,467eafdc,94df5911,29d2aaa9,b747a2ec,befa9d7)
+,S(b23b4ad2,e983e556,e941a35b,b84846a4,40cd25b6,82487f37,a3a30eef,eef15d1,7010f10,88749d1c,f95e52dc,eae1a379,b87762fb,55593d32,a65ef0fe,dcba2485)
+,S(e3aad2b8,96fe34ef,9d775743,6e70a70c,b3bb0c6b,8436e616,a23174ca,985fd8f7,5d6edc38,89beb099,dd191564,eaa83c14,3ef0b74d,7789590c,d6083704,61c6676f)
+,S(2f22a14a,f69e6257,b909e3a9,50aab3ea,dc09c281,ec52e47,8c578f49,68910244,4ab723e2,43c71baf,d2aead8a,479a1a2e,fd2aba74,800b5eff,56ca46d0,532e81d7)
+,S(93806026,554bae5e,9b91f534,f864b79c,81e581f7,bdf3b2ef,dd007e32,dd6872f0,800f8162,a6836801,d052871f,6892ba33,b2f60f82,89a658ea,a8af25fb,f9d9c444)
+,S(8895d121,ad1f2be2,3c578faa,1e33656a,e9403ddb,a1f1aea6,1cc7bd03,817a46d9,4f7577d2,420d0d0d,7cc9ed68,ba3645b8,f9466f59,570ddf16,ba168de2,8cfec881)
+,S(1838c15c,3bcf1189,546a9e3d,69fb8a73,de39c862,f5faa4bf,423e1dbd,29046ccf,49484789,1b67ea0e,2e7f7eba,4a596d66,b3ed9842,3ffc54b0,e9292a4e,bd6f5487)
+,S(111e8eab,d9cb3ec,5eb63cd4,14ecf59e,3a3f0d56,70959226,ec8f203d,947204b0,4ab9b3bf,dc853571,2c0db9e1,5fc2832e,4560e420,af96b043,e587d1de,d996e38a)
+,S(80369d1,ec5ab7c6,492db1f9,aa2fa368,ec083d86,75d6c1,e7262e73,a612e493,cbb28c30,db7f7d03,6b8dda93,7e0c4e18,6a09f1ee,2407e55,7f6dc54b,a8c0553)
+,S(903c9034,dbd3f982,41351979,c9306a8,42b88892,48cace15,c3e3a8bd,aafe1ffe,d55adb43,d0142740,71499c92,e9b851d8,e6ece26f,f82ceaff,ba63a003,14960f38)
+,S(d6490ce4,74bd1e80,82c99e87,a0510a2a,c2c2772b,1921cda7,dcdcd5e8,6ecaacc,85a1fcc6,de4b93b8,b2314da6,31d7abdc,f96b22e4,b44a5545,f274f941,454e98f4)
+,S(12f2342f,aa8b19a8,bb0e080b,2ed3487a,14ddd1b4,83e0bfa4,9ea08484,157d5306,eee0b9e4,30a51a3a,49da893e,50360ba1,21660b4d,ebd3ad8f,82805416,10f4b7fd)
+,S(3bf1ef66,57bdcbba,a9d9a23,36c75429,c4df4a86,1d71a767,2d7e956a,deff234f,fa98467e,83dd1ca2,2a85cd8f,f12be1f,53d5a939,352f4046,a626a208,601ef6b5)
+,S(d0d0f8b7,9a04ac8e,b6e010fa,3608926f,3b5bd886,f84c361a,8e1d9dd4,b01ff717,9bb32b90,6d7de56,c75bd202,b9353128,b6440fb,42dae8e6,74ade0c8,fc96386d)
+,S(19507738,80caa9c1,f042f8b5,d1594a12,161635b5,a83e4675,35ffe51a,fcf631fc,9280d033,f7a8efc3,ff22f501,6a6ddfd2,f78159bf,1f13be4c,f758b150,21126ba)
+,S(f4f50c3c,eb750a04,95973b47,53b96ec7,22cef833,f4ee7459,a51f884a,f9a251cd,41f554fa,d3d521e9,65fb0768,66caeac7,d9f5c6eb,ba7ba7b1,d1d38c9d,c06d85ce)
+,S(8b669c9e,22452528,57e20692,2726f045,e97b8cf2,1154fb74,e199f49d,11951b84,550c47fa,c46060df,4d893afa,9f08713f,cc8e719f,a369e90b,fa8846df,7938c65b)
+,S(941cb4b0,31edf346,64dd5e7,92ca135a,1d6cc6f,55341322,66644493,aee5fe32,cfa91a79,29b3b47,d73b8ae6,77cf64eb,cacf9408,3cdc76f1,79e25631,d574ff68)
+,S(557e36b1,27307c56,72232c6f,6e92e4f6,f5da9d22,1567b464,8e79d97b,bf589023,ab741e35,109a0313,e7adee7a,2cec2c10,79d18d72,6c27f1c6,5a808b98,8e99b523)
+,S(d8081ed,9e7cf1cb,e1ff07c0,b8ef3f9c,c7eac02f,1cf1c6ff,833f4b74,b2a33269,efa297d7,10fb71c8,43e358f3,e04ac308,53027f00,eea43d03,9b87c3ca,2b0fdd2e)
+,S(b5e4fdf0,7a443146,263f6539,f6c8d991,7486da78,95b4ba7,fb4c9f14,78324d44,a3ef979f,93ec1a0d,602950d2,ddc400c8,4f018643,229cfba8,7cd9e3,f2fe657b)
+,S(1a573259,a5100c21,d75efcc4,41d5a834,a81d96b,f4149731,eed4ae67,508bffcc,8a993dcf,49f94f6b,bc71766,9d37ebfc,614a45f4,1d70a1ca,f4da8834,5711223d)
+,S(33d9f9f6,c9ba653b,f9c52166,c29e9c06,2cb7700d,ea2f40cd,28520bf,237b4558,dc80f57c,fc0e73ab,bdfc4a8f,f7e8f4c0,3353e889,bd54cf84,6361c1a9,af5a0a79)
+,S(e4ca84fe,307c9237,4d39b2bb,b017b5b9,e478b26b,95236b8d,5bdfb220,f44419d,c0cfc7d8,92271c95,7ef235f7,2f310c7c,7d0ac297,97d42ffc,ba37061c,83775507)
+,S(8f1f2d2d,cccb07a2,a8716b77,8c74f3fe,22990d36,b951e6dd,92f5896f,51bc23aa,9eaa792b,426d3400,31a862ca,b805d0da,ed9a4c73,591c204f,c5179b17,22aef870)
+,S(20f7f6da,86eb5ae6,6a1b7818,43fd7fe4,c458e3e7,bfb590c8,76afb601,257b2ee0,6dfcd6c3,93e7e9dd,32c7e826,42f90d69,ff1e1ffe,18988de2,bc1cb9ba,db246fbc)
+,S(3a3df365,8d65d718,2dc05797,8bc48fe1,5c5eb6d8,6bb241e5,9e178ca3,9cf9a010,ffb89791,7435e8c5,4865bc79,52fb7bd4,1578af51,6f611c54,1f7cfd5,651b293)
+,S(7aa435,7dbbc5b9,a01b5f94,6b0240a1,36daa942,1ae1a1c9,b50f66c1,c7f15e48,4640c8d1,ace8f69,6b08ba1f,9a46d04c,f75c5914,3339d5a,181a7dfd,bfc92c0f)
+,S(198e4848,8176664d,40fc14c7,acca9eb9,aa22599b,b2370959,5856d78b,5e932e94,fb9dcfdf,b27d062e,8ea5246,275d80e5,6fc7cb09,e81bf066,dfca888a,8df1de6e)
+,S(25da8876,d3215051,75694915,c25056e1,2c1329b7,7795b7ec,1d4b66f9,3c911cc9,b8cf4a83,db78787a,6d80a157,c7c205f1,3664a71d,a6e78db5,b52b012b,930c4583)
+,S(893d2e9c,3b6fa8e2,136994e6,14121842,bb82e577,89826ccb,eef51fab,de32c0b,d7cb9b4a,1d49b34b,f3f743f2,10c32a25,cf8df45d,8552a7f2,1268e270,ee6fed67)
+,S(dde2e8a2,988fd777,4959457a,5c14384f,c8248d1b,a32c7ce1,a727af27,7b217688,1fe0272,137e4c9b,1c6df618,41a240a7,be3b5de1,7b93fa24,ccc055f0,e7972b1)
+,S(52a73b51,5326198c,81bd988a,3033e1db,abd9ee27,9a91a434,e7a76813,453e27c1,c23130f,c4b8990f,ee308443,1cbeff25,62963b1a,4a5acb4b,a1319b4e,d77c745b)
+,S(1b5afdc6,4598bfee,4ef31904,f0d06796,17b0149d,ac19e7ef,a1d4f19b,c5385490,fcc0c62,47d96d4e,430ae0e9,c19dfa2a,3719e66c,ce25a2cf,d7428d4,4c91e96e)
+,S(76da558b,d533e761,4d97b7bc,5a1a98d2,af043ce1,1f2b323,185377da,c0e0abf0,f8dfecd7,94b3d069,ec22f01d,8418bd90,27c3dfc0,62beb597,e352bb70,271d3cee)
+,S(17f01b77,d2417d97,e3c14f10,18af67be,c12c31a3,58521f6d,203f101b,227cdbc0,fe16d66f,a194c800,e3c14bb3,f1df0a2e,3ec319a8,66c69d9b,3b492d96,327bba04)
+,S(6010e0a1,2cacb745,6e3a8f73,d5219a87,cc14dae6,54be7265,ffbf70c8,c4d5433,7d5f0faa,579afe50,2541a2de,4d525bd4,e7b950fe,2b2dcdb8,d67d3d9a,7b11da54)
+,S(91e938c8,3f319320,baa876fa,23773a7b,d0fb81f9,bf9d99bd,13180560,bfdfad6f,b662f401,7a4fa2ff,6603864d,77a6b930,181372f2,5fd6a67e,12a1df6b,f75509ee)
+,S(de2ef2ee,633355c3,3d259357,efca96a0,5b669f13,b515e64a,c0bc467f,2abd665e,d3d6254c,5c30daf4,64843190,7c2a8c1a,51baeb23,13605a58,b88c9a78,a6147c73)
+,S(186151f0,dc37e48b,3178bdaf,900e7bab,49cf251f,7a2a1b8a,76da8750,2dee93a6,2a240dc,acbbfc19,876c3680,fdbd7ee5,d1085b79,96317e4f,db73d5a1,9f097f8b)
+,S(6f19619f,ace0c63c,4dda566a,9a1e78f,a9568db1,1c46f3e9,771756b2,7d8a5c1e,4716efed,7166e06,722a744a,af89d145,4ddd2f0,f7652862,cc38eb3a,2beb1925)
+,S(a0e450d6,fb8a6da7,e8f6e62f,7a08c2c7,277a832b,4e5c6dd1,8cbed37c,37db23a2,775223c6,3f81b2be,1bdf0831,9ed65ab8,d3e11c56,38830851,d55a8893,730979d0)
+,S(6337ffcc,64f5d358,d90fad1b,646d8d7,46e2fb7a,2a6cc378,9b55ec52,3824de5,98286287,578bfd97,4c161a01,55f9a2ef,707858e2,a32c3fc7,319416f8,5a6e5427)
+,S(914a8565,cc1bcf80,19e1eef2,87c9467c,bc42faaf,726d4399,6485efe4,6f99e32f,846c42d3,b1dd8c20,3a744f5,560396e9,b9a92380,2fccffba,c6ee22c7,65bffde8)
+,S(dd79a02e,2460ef86,cb4e9ba8,3ee7e231,e99b3303,1d4a6d7d,6dee8b1f,b0050daf,d6a75b67,ba13f76b,172ae0e7,d63b20be,db3e54f9,e54a96d2,aebc326a,131ea271)
+,S(b2776e23,3e759f8e,38c52394,d50fe177,c6842acb,f238eb56,c7638549,174c1b2,e18c89b2,dbb6453f,7b610518,8bf090c,f0410e51,97885d52,b50b2507,ffe4dc81)
+,S(e0716c4c,c5e84f7c,282adc42,f294a36b,56bb26a2,58cef4bc,c36a7f53,1d5283e1,1442ddf1,57491db5,1692c7ea,5c92976b,8a2488b6,6aa6f38f,7a62946b,a24fc5bf)
+,S(2b10c9f1,bfdd659d,9d1e073b,faaa4b13,2a08b678,f757ef39,a137e53c,b291df70,7d22ac48,f4e0aa71,8cf7882a,57a46746,94e0f456,f2cc3aca,30a3f8d4,2b240dab)
+,S(fa762181,26a4813e,e97f2718,c6eed96d,da9f6912,ac463af6,a52f3aff,f80f07e4,8c8a04b,f38e2599,4cfd8905,27ace017,e57e3f8d,d378b205,2e767954,80dd5701)
+,S(6b893eef,bea81e30,7ece156a,e79abc26,d9f0ca5a,b2dbde11,bb0d8192,f138e58e,510a308b,9fc47167,f72bbc4,f92eebb9,88a6512a,b1679102,f9016b0b,d82c559d)
+,S(6cd9b970,332f421d,1aba33e4,75f26a4c,5c5fec37,4a549ac6,d8c10fa6,cbc40032,b57dbee6,68bef693,67188a54,52e3b4d2,cf1c8c25,8e36bc09,432b4f4a,dcc24086)
+,S(ba4847ad,40530fc5,f77ea79e,ef7a1c0b,821b5285,5ec4ab8e,d238ce46,48a09fa6,627ba437,8e0f2044,20e61431,5f3d110f,2da9cbe6,2025bbdc,5bc1cede,c36030c9)
+,S(92837329,4f59a142,ba84f897,7acf2e7d,9df06a27,74ad88d8,98689900,3750c513,4e938012,b6e55d6b,6f7871ae,c34511c8,40912a1,1a32012f,3bdd27b7,90f86c37)
+,S(470c19f7,9aeb9a7a,142ba010,10ea4929,3de57e25,68658d45,42b5a626,864600b9,2e99dcc4,b93d9a36,7544b842,ef4a3085,2e24bc41,e98ff2a2,d9aede05,da703225)
+,S(2496996d,c38e4bbc,851f9bd,f9a21b42,5fc7ce2f,2b06993e,97604a0e,db555c34,b6e02a63,f0e2e54e,1cfb9d28,7607bae5,8a68ae6e,a8300ee1,c1170f0a,9e567323)
+,S(92366ed3,23ded4df,f4029e42,685c51fb,a8a916d1,999c42c0,a90feb44,4112a78c,88dc8af5,f6d1d14c,5c09d216,8af0e752,3fad76a1,5b311021,7ead491c,12b63191)
+,S(ff9760e1,ce161564,22c4962,4962d89c,37e66e64,cd7f8e94,4125fd00,c05974a8,8ca4457c,a5e52e23,d70639c,a9a26f3,12312451,8f0de070,86d385b6,777a63a8)
+,S(50d1d5ad,79f919b3,d23c16b1,428d971,5deb186f,2b92b64e,7a1ea1fa,dfca4981,ddb07de,d4ad81b3,cfefe726,33521be1,c7418c5e,aa759440,20dfe92e,b4653ce4)
+,S(4934f753,29844b23,80183df0,254d1c7d,342d7d27,9fa5e804,68dbee16,4e9c2c6e,a4f8aba6,7a488a33,40e8e943,14f7eed,5cc25487,5acbaedb,afecfc2d,5405609a)
+,S(d7b99142,9cbdf755,5cadf030,7b2c4a91,c0d25710,a0553511,eac6afb4,c544ff81,17bf03a6,83b1a0f2,366b944c,aabe57d4,eac4d86f,bfabd006,66693983,e0241420)
+,S(834b036c,145d6905,58199bc1,e7a7bfc2,4831417b,530b0b97,8cc1fc16,af00b966,4a45a9eb,299f24a0,1c520751,2cbee44c,bfb75d0d,14a7eb08,b1668b58,ae58c47d)
+,S(d7a8c30b,fd7b8aaa,78dd23bb,86ef2624,5a363857,6ed69739,25ea9d9,194bfb3a,7b5f9ce6,380abb91,6e041388,13baaf24,229ece27,3541f4ca,2883ad77,9e501fa6)
+,S(ea4c7ed2,7ced8b13,4a2ccb2d,3828d29f,f80c4825,e5607597,3faace04,d2fb7763,a8454c9c,be19ec44,8a3234ea,97b8fbb,b256a148,11ba0ede,becd8641,42684d14)
+,S(a2cb70b,f80d9f6d,696ceaf8,fe8052bd,e59215a9,99d4b92c,ce806a19,71d555c,997bd94c,e5cb12ff,886c1cac,bd21c3c,e2f144f0,3af644a2,c2aaba2c,825f75b5)
+,S(89a91f5,c7c8700,175ab017,8c4104f4,a927af06,f269645,36cb78d0,19f8b8f2,6a2f8ebf,e1258b4e,31bf9a5c,31c51a3f,1cb58aea,6e18582,3e87920c,3df8e7e9)
+,S(27d7191a,71ecb0eb,71b43dfd,5840079c,bd368c0,5ce62fdf,2967dcca,78f5a6d6,11120002,d0d0fa9c,8db51506,4e1fcc2d,92d8fa9c,8b454294,bfd01c64,889d5e6)
+,S(cefb996a,d36deffd,c3c7ddbb,11a5013b,70baa98c,1057adfb,185b4c9,62f3384a,c93cab46,7523b0d2,baef4425,c9ff048e,c586d4c8,69c69cff,3ab9d72e,e3d80f83)
+,S(5a8ff765,84746f42,4e06b557,77986825,e91312c4,4f79003d,c1b381cd,4fe5ce8f,3946177c,3c741458,7bdb9506,85ad0c73,b422a8b2,5cc3ad3a,cd486e76,99a42f08)
+,S(b179dac7,d2f400bc,bb039f32,91e813e6,f9a7331,80a1a5d0,db51aafb,af582fb6,89a70304,d70cbb61,ffb3a499,1815cb17,458404fe,e43f09bf,d630d480,5978b1dc)
+,S(6e14a53f,ab32be84,4eb14242,a3b6a86e,e178cd7,51dbb7a2,b14cb763,ab2fe6de,a22ed4a6,d98c59d8,ca85e111,cce0efcc,60e20df9,6b06615d,69aa3cfb,206494b9)
+,S(12ac42bf,d8f919d8,c79a8138,1aae69ef,b789a573,f58332b5,79694dfd,27e7ff20,4ebc3b7e,4b0136f5,19a8df5f,baa7ff59,17f4f632,f85ab1f2,ce502fee,bb3a3a87)
+,S(87bf22af,5e9dc061,eabb01c4,eaa867c3,4656599e,da744da7,774fa8d9,aad68630,d34f530d,fbea0d52,9d2d64d1,323fa44a,d80cbe01,fa2806e5,ff069e6b,fc0ce729)
+,S(33fe6bd7,ebe2b197,76251415,8bf866cf,b6d3ad5e,1f68519b,edb513fe,6076c96f,c5970cce,f44aa84e,f95a56eb,588b7a8e,d9164f5f,5a2eed83,1f70d308,2320e9e1)
+,S(5fc2f44c,fc0f7ab9,9f03b67a,d7b6ee99,d73fa9cb,d74eb5ba,6d931d9e,26ba51af,8b1fbfe9,de201400,6c07da02,4bbcf53e,13bb9f2b,ff3dd6d9,5135a6fd,5842f0f0)
+,S(38fb5cfb,e4f348cc,1fa7f9b2,ea600daa,e8330aca,53308f09,b6a7d8b8,5ca8a88b,ac1bf91b,7f53e824,d845c0f6,9534291f,cec2808f,95acf58e,4afba07c,fc735be9)
+,S(3ec2457f,fc848504,6f74912b,5c58b270,1be6eeb6,f88da0b3,c5cc4454,48750875,b63209d2,641c65bb,7105af10,61d7513e,409f153e,5d1b5073,232eacc6,f76dde22)
+,S(32fe812,e67ef62c,687d248f,e75ef399,48fe8ae4,a01ae10d,ed65264b,fb5050fb,d9c85369,db22ddeb,baf7682f,53642962,cfec2afd,3a20de77,588e7473,18044f6f)
+,S(97d7c69b,2aa0277d,2b20e9c7,bb1066a2,be6f443f,d0a428b6,d78c5fc9,6ff71b57,f84ba781,70837aa1,f75936cb,fc50c444,c40c9fa3,22d90088,ac6889f7,e7c0f861)
+,S(3621a4af,4d698e4b,60e7f497,6e0c10e9,ca32834f,ff917aa0,6aff912b,2ad80cd,22cfd248,a17886a,ae5d0e11,53621e9b,46289acc,ecd8155,a1bd6372,120c4da7)
+,S(ae79a6e5,848b1dc6,cb64958e,87b737c1,858442b3,63d4a2,e9f04561,7d73f8c7,c147238c,59885f2d,dc5dec63,de421eb1,c5a19438,ed0600b3,4c77f4e0,e7aa557a)
+,S(36eec623,700e51e7,723a632a,55370ddd,d6b1f917,6ea39a2e,54a2a1ac,52598c35,29698c0e,56b4e2b5,5389dd9c,3d8b509a,e0b87f99,4872d865,3fc74269,7f5bb7c)
+,S(50f70061,804dbeab,cf2ab4a9,87ebde2,1f5496c9,a4cd28a,4dd9da7b,310e876f,77e27710,edf831db,6ba9e64c,545f03a7,eb390842,8d9cfa3,3d0e1c87,61371706)
+,S(c2ad6b2d,e84bf60,7fe77b8f,a9fe26ff,bb5e1906,1494e469,8da44a33,25843844,17b92ad9,d3938fef,7a17f543,a169a7ad,8ee65dce,36eeedfb,5e3c0c8e,a1b24fc3)
+,S(a53504f,e2286269,427fd2fc,fcb64827,bdefdfd9,feb89d50,12651d2d,c60ae99e,6b9d73e7,e046d11d,ce78b114,8aea837f,770d8267,6642dac8,f3b3c035,c10eab45)
+,S(5410db61,40a77b31,9f19c969,34a8364a,4881ab60,ad76a6c9,34f317c1,1b658dec,ac45bb6e,2e5fe23d,57297370,cd04ffdd,dd89a9,15a1e9ad,15d7f9e7,6d8b3aeb)
+,S(882cbd69,fbd3e262,5093385e,ab82fc9e,7597c38e,45fa5df7,f98c94a9,3bf25467,2083f00,b25b28b7,f92b040d,a4294dc0,8a3d97e3,d951e724,da0e692a,5737a87a)
+,S(3141e0d1,22b4c136,f7793c73,9c48f308,c5ec8043,19db116d,64eb14f5,aee83942,9c2d06cc,d765c6c3,cee09b70,247f8806,227d0178,13becbb6,96c5a344,b68b33b1)
+,S(1b2f3686,5a63df41,65caea4e,305d8d66,1de6ccc1,c2a28cf5,2373527e,27cecfc,1239d8c8,d60fdcb9,fcf3f5d4,63305037,6d47fd97,4cd6bc64,99e0e951,2d2209a9)
+,S(725168cd,9fd59e41,14918b77,6ea96fc9,6315b4f0,86672dac,1eaf59a5,e61ed25f,946f03a9,84a6735d,e72acb38,dfd21905,fa2358a5,e66e7b0a,2f8836a1,8f5d73c3)
+,S(4207faa5,c9dc9622,9644df1b,a099a84d,654ec6d2,aa69efcd,a4a31a3c,61f2e1d4,ea72a92,836d1597,5275c18a,900c0e7d,d0502610,d97b6f79,1f6a28c2,1b3ddfd7)
+,S(53900d38,a4740830,a6129a11,9dc90f6d,30f32847,708d48d4,20b77764,ff5b9cc7,66822ed6,ed941eb2,20aefe94,4325daa7,a619dfed,5c76bf75,1fc25342,8178d3fa)
+,S(d0204932,a3fb8d33,9779851c,d69f6adf,be1a9957,59fcfce1,b8d4f047,e4e4dd2,8ded18ff,bbfc663a,9c658ae9,286f82e0,9ee9381b,3291f5c9,efabf0d5,fae318f)
+,S(3ed8ce15,2d34e621,94b8b16d,55605766,41fb2673,14a08c91,d916fa14,f21abde5,48490fe3,9769c60e,38996370,27b57df7,230060c,2505f414,5a1c7f1,4ba16660)
+,S(b7d57614,9b5e2ce5,edef3c30,b8cce79e,6f122c70,351d04fc,ed2b67c7,f5cb2aed,7c8fc1c6,bd42b25d,d45e37c2,5cb06f0a,bd2f7051,4a50e6e1,2a67c0b5,b199eda1)
+,S(2489e06c,c8f0bfed,9d5ea722,c07ca795,e9ab40e5,45b036e0,f0c11f28,53c0d35c,dff65f5c,20766078,9737f1fd,5af05ce8,3b8edf91,37002b19,f5e1599a,e76c48bd)
+,S(9b2140e5,509817c4,465e6689,a3bdadcf,b79c1803,883d493d,4e4e99cd,55f30a29,86374501,705fabc6,62e8c869,a22d2813,f7106006,ee09b6bd,b582b690,50186688)
+,S(48d6fff7,d5c37c30,11c9e63b,b3342f92,776060a6,dd179e3a,e2c6bb69,d2f88b3e,783353e,adb6daec,536d37dc,76ae3ff,8dce14d9,65d21d3b,7a17515d,7d3341aa)
+,S(35d46a17,b6951355,a055e253,42b4244d,8ce65459,c630f2fd,4708687b,e6a49e7d,13bc21d5,7cc2954,62927cf8,bc31ef3b,5407021a,62c5253a,5950e8eb,b9c735d7)
+,S(17ba438,24168f06,274b2f5a,d080fda2,3c0dc34b,f77e81c3,c4413cd2,f594575d,e8b34f9,1ef09f92,7b5d9e51,662216a1,30ef8f87,2e0febe,3f5cce8b,318fc77a)
+,S(2a09e4bb,4f6d6b40,f59d0299,93eeea7c,755eb00a,5eba0477,3fc0c796,aee68a07,cbe72772,e5d8b761,15ed6f92,f20028b7,cd06aea6,74e10667,899e78a3,df403f0e)
+,S(f3838250,e9a03da6,87139583,2bc6b35c,2d427b60,4cb7d25b,149b6816,235b0e4c,164b211a,60562190,d415bcc3,87d1a147,66e45f14,dfbeda44,833ce45f,b815598e)
+,S(b307de85,c4c2e8,4e076d19,647bd205,8c1a3c96,a0261481,322e73f9,f4a2e94f,5af7f6f5,ae7f65cb,b62f021,608473e6,b68d032b,4835540a,f265049a,e506b2d8)
+,S(ff92c7ba,5f89d3d4,5273688,907ab9bb,794e5622,f8f300fc,804934d3,b5820e00,3b2e2d1c,420fafaa,e53c9da4,957e22b2,bc76ccbd,99f323d,763fa1ef,f92ea71a)
+,S(49630ee0,a8ddf91d,ea678a3e,1dcb623c,688b7c3b,9e39196c,b578d30e,196e63b0,4c1aa073,d1375475,11d81776,e2e59404,aa08db5f,95b80e56,c39613be,fc2bfcdb)
+,S(d41ead31,f2fac884,e762ccac,85825cbc,6ab2f8df,a069b2f3,fce3c6f3,d5c95a33,f15e3e23,e19baea5,677390cb,acf97180,86876f96,50fac740,9b6e62f8,b6d40652)
+,S(5e62e95d,27ba07d0,781ad685,75a7a11d,df9f2776,48cb5cb0,869ba586,6ff02869,291717d,1a1ff532,e92f0311,881fe2d1,6c8844a,6f5ad7f3,b1ced51,e5088302)
+,S(dbdd4f57,1f6d01cc,8a1025ce,3b92ce3d,56d396d9,635e456a,fd856239,27b53bd5,b929d5dd,816bcdd7,78abd34b,c15f2fb9,deff3f9a,aa44de0b,9f7b46d8,b8d70373)
+,S(63a8349e,1a891037,9a74a60,babb68a1,4c8cda6f,c2cbc0e2,1a5aca7a,fff7a19f,38858c42,9cfb1e49,5fc90633,ce07abf5,b7c4a4fa,22b955ef,e2c137df,143ec70b)
+,S(1805ec70,2cbb1e4a,5da4841e,9e24afcf,b84a3e45,dd6c39a6,cdb6a661,d5c6b1af,193be01d,d3f28479,e352f164,de99d21d,1b3fe8c4,b0af8587,8f21c858,cdadc27)
+,S(2d6ff24d,fcfeddca,ab3b19ec,b6a79793,7f5c5d3d,373b9df0,6ec68549,6d075423,b8bbca01,551b2b3e,f6ec3a37,ff020f3b,6b1f5456,69bd8b90,f8a55216,3fb48fb6)
+,S(3aa21099,52cf0464,4bfe5de8,69cb2d4a,19d3c4c4,661d6782,967dad8d,cc353a24,68252574,69dd7940,fbdd26a2,483149f0,f71a4b12,fd25b063,73765c52,d45985af)
+,S(d6422a71,443b0e37,cbc06f90,4ba1f62d,c2351b7f,e4e0b909,5fc227a1,7f8f551c,ca92a69d,2c9aa758,46c2518,f1ae03c0,d7138170,447b55d9,37108604,f71b9feb)
+,S(51e297bc,46529246,a36f8460,f285d713,b1e9ed67,2027eb35,37806d5c,7e756177,5d56e447,63bde166,b456531d,94be0d,7057081b,edbbb89c,be8c4732,13eb0ad9)
+,S(378a552f,c061e796,c9ddd101,63851ea0,663f09f1,3fdf852b,ddbafd7b,bf6c258a,6396c9f2,a26b62c6,f33b73fd,98824958,8cbc7c10,e679bd4e,ea0f4ab1,dbf38f72)
+,S(bd85fb00,1db4f2fe,95c61f1e,825e65c3,80761832,37be8a86,a20f6fc0,7a586daa,52c21cd8,9bf874ab,7d7e0f4c,d0095d7,6e8c737b,e2ba9d1,a21fb795,d968f61f)
+,S(fe68e6ec,3c8e681c,e7230a92,e8762f0,af3e206f,f3b0afe8,be61ab34,2ca076b3,f8683d06,af0c88f6,93a0a6b3,1200cd25,ea2c7e9d,2b8048f8,b983474b,b1dc20fc)
+,S(83e55d38,bbe2daa9,f8147b1e,674be115,d919445f,70d2b3a6,cb917a4a,9ff284d1,92d6c7f6,dbbcdee5,8b11a244,34cbe7c,9f9fc0dd,c93f6fa8,b6354a06,5bf90ab7)
+,S(fc9cbaca,ed0e1df5,e9d8120,6bb55f26,67e114e7,30347030,8b333554,d0735ad0,d41fc02f,2d4b3f74,f4e9ec00,7a879540,54d12fc9,3d53242c,a45bd38,c75deb9e)
+,S(7adf7a3d,12268d0f,c2568d5b,ee296d61,fafcd739,f081e5a1,7b39fe7,40132b05,51aeb855,a84f377b,899392c8,a7daa18b,70ec2a94,7929c93c,67ed8217,41adaa21)
+,S(e9631ea3,7da9e68f,eb61f9c5,6eb91bb0,2fdb4d58,d99874c5,2c4af40f,9716aa0c,51d5a6ea,1a5fffae,39c598f0,158272ec,bdb48c4d,faa93da3,89af20a7,d2a1b8d3)
+,S(e892f70d,15639bdd,ab70739e,83ab9f04,963e1dff,e2bd81eb,e075173e,6bdd116,2e78cfa8,30b68c55,68f635f1,b260d823,55f38ed3,f5f43c33,b178be12,dc006b4b)
+,S(6f3ef2e1,e8d4fd02,2533f4d7,410778c6,ccd9a7be,aaeb3c8d,d9f01699,89598def,c4388130,c278f8f2,7a9947ed,4948f8e4,febe81bb,88bf873d,2d565b4e,3481b86)
+,S(cf24cd64,84b07e12,37640f0e,da7e776e,3d4db192,6da8e929,19b36383,15de412e,a353cd6f,a796c46c,49f34c72,64d36df8,6d53f556,a36f430f,7f3f6ac9,3527ca7f)
+,S(a2e98e5,36d517d6,528d6353,8bc2be93,4eeae1c1,cd8dcec7,a60080d3,fed33749,205e752c,49a09b0c,8804cba0,62b28ec4,6d9e8f37,9cbcacd4,a7cc9049,47bfb296)
+,S(e5ef194,498445cb,718f7c77,6aecd0f1,949a4a49,73e32ce9,a4915867,dc27139c,fc774f2e,1e51f03e,71e637a4,158a0013,5aef5a18,b15ef0b1,e5696338,82bb513b)
+,S(311b36a7,1a1d13b8,29c78813,6a989c0e,1b7039d4,d75110b6,ba97f000,749a8d06,2f441c15,6b80f4d,51dce0d9,bceca566,2f3fdd9b,965a0d84,55f6d154,3a661f7f)
+,S(324420fb,a5076214,9be852e5,ffb88d20,d1120e1d,2eb9c132,32bdb13f,403a5f6c,378f5d4,1dc1011d,1fd338d,b6073df8,903fb4c1,e17b2122,bdad5eaa,496965b)
+,S(7cf4998f,5095c102,a0db72bf,9935ca91,eac814c5,4120eb0a,262f246e,ede142d4,73e6db13,d6db9486,fc870698,7be096f7,7440dd35,67064888,e61dfeea,e98c1fb3)
+,S(d6fe26df,d501241b,f8c5e74f,e30714da,7d690be0,91cfbe14,68ed6bbe,23598f7a,102c4907,60fed9b7,239c0443,d01f2742,fed0a0f0,fd7ab9f6,9fb1c58d,c5752fe7)
+,S(805ee58e,66ab8020,c9c32afd,4c7fe30e,960f4c3,ae51e94e,da9e5242,af09c6f,19154d86,59fb1837,3d0adf6,daedcfc8,3937af0b,ef9a7d15,f990f60a,c5457617)
+,S(491717b1,f22f93ba,d0a3cce4,fac57160,8ad7a746,ba73d375,1713e605,8bcd8450,9c38b3e5,4c89d38a,2307546f,f46bbd68,d4e4ad08,cc45bcc1,575fd120,acdacaff)
+,S(a8e23e38,27c54d4f,ae2589ba,cf3c4e1,93f97e59,b11506f2,2016fbe,a9fc2522,ffaa8b74,22b50822,dadd781f,d31b5a31,eb384c50,2fa0bc2,89252665,1c602f3e)
+,S(9fee31c6,88b0f7f7,78a39786,a84567e8,34da7ffb,350cfdc8,95d65c4a,afdf69c4,2116e31c,2a0d25f6,48a3ab47,1c897484,d71dd9e5,c678af4a,292a6388,d9e45e94)
+,S(6256ced3,f08f1812,ca7ad618,383f1542,baa2bb06,332d4c1f,72d862c2,318854e9,9ae0bbd9,d2fd51d2,9347aa62,12b6c0ca,be530b55,bfd8cf18,6732be1e,c66ced06)
+,S(ca1cf364,a5e1f47e,cd0ab0e7,52e785fd,935b8c37,964c5654,2cfb3249,a136d669,17412d75,2f350795,30db27a1,7394c362,45fa376e,d20583fe,b9f7a7a1,2c3b67f3)
+,S(19004a4b,28e5352c,7c74def,cf129ca1,cb5c7dc1,5099b37f,dfdb0d5d,1e694400,68ed1edb,9ac650b2,965a4034,2812a692,23b3cf6f,24ab0a05,2e1b8eba,f7335020)
+,S(c605e97f,27199d86,18fca176,54e44c9c,8dd20994,aeae0466,dbdbbf0e,ffd1b3c0,606955ce,33ff7b6a,cc6de4bc,4ef80b34,bdf6ea17,b29dada,4ee54f06,f61e9d22)
+,S(3e89970f,15e79b51,fba90202,a16da6ec,3d3d5d53,72218d72,bbed0626,31affdfe,5d9e27d0,bdefa8cb,b02ca682,a062ccb0,61a8fc47,b2cc72a3,9b687b45,5f83182e)
+,S(c077c861,575ab0d2,944f8e65,8a9dbe54,9fc1172c,6b7b7428,476af472,e625d5cc,c01e7abf,6a3abe2,d2aa2457,76068afd,9ba78fb4,fa39e531,8155597a,90fededc)
+,S(8567c87d,c12f1479,5f351d1c,807604c6,636c670e,11edb286,92552ab,382ddaa5,71f0be2a,12ebee63,8a63e848,fc4d8116,e2dcbf99,ecdb15ae,1f4ec6c,84f359ff)
+,S(9f1b7785,7421626f,87978ee1,780d0,1e9d0b28,df34c2ad,15332b8a,d94d8dfd,6df504cf,66144d9d,ed530e2a,1436a4df,634a84c6,9de752d8,42e076c9,1f129b8e)
+,S(f45c2c6a,2754fc31,c5770e3d,38b19e72,47b0dd1e,5ade8ed1,f2f3219,ea7accce,ee07ec18,8190ce54,e736ffd2,912075a1,128d24d9,b178a7ee,72aeb6e4,9b593f4f)
+,S(51a5441a,f3446fb4,cc63ece6,c9650a87,2fa5567c,4918f5b4,ec8668c4,ddba6e0d,413186bb,adad4943,6abc46e9,280a1571,a97ed7f2,a839cad2,935675b9,d167a54a)
+,S(adee3e1a,e9a2ab1b,da34fd5f,afd3b3e4,f51255f3,5dbd94c6,8efb994d,afdeeade,f330f0cb,973fd732,eda39ebb,82dcc589,4c148165,428adfa3,b4ff865,1ea83e24)
+,S(a8946504,eb084214,d0153ac9,c3437fe7,3ff5696,16e01672,413a62ee,27c97db5,3dd63d46,f74a56c7,2cd5d45b,5bd6f2a8,d913300f,b4ce536a,e504d4b1,b2e311dd)
+,S(e34ce586,990e48c5,febc2fd4,70770cf0,4c81c782,3702cb5f,289be0,f4a97205,d1774a35,cdd7cc54,dc68827e,f7c723d7,5c167982,c314dc62,bba17478,611f5854)
+,S(7a8a5d9c,edbc4c76,1fdf2958,8289bea,d524edd4,f7cad978,deaeca8a,de47435,559d473f,3a9a7ee3,4ee0a1d0,4acdffc5,6766db36,94fbf08a,5ccef8cf,31e25b6)
+,S(848cd57c,62c67249,d84710a1,5c7abc27,93fcba46,497a6b0e,b23c2ad,f8acaac8,a48424a9,59922131,31a763ed,30369b72,b331d9f0,cf46f8a2,a15515ed,6726f735)
+,S(6afbce14,1f2d2c4a,c52e7e05,5ba6ea60,7612a590,d74a2a5c,1344cd5b,c49f2f03,910d69d1,cce10aca,bb1593be,2d4d4d28,9745f97a,29fb78a2,a1eb6f0c,a58e4b61)
+,S(61f3727d,718644a9,2e08ab04,814c4446,c5dfae82,c26540cb,44fbd310,a5315a11,56665e3,ee6edadd,a154563b,11fdc203,fe4365d1,ac36879f,a30778c2,badab836)
+,S(582962de,e00668e7,91741dda,8e86ddb7,b8ff7773,ac1ea51d,1aac139e,a810f3d1,6bd353b2,e004d66,f1e90cc0,7c68a0a5,b532e709,75a7bc58,7a6b1c67,71022f6c)
+,S(5c4426f9,f6071fde,a9304e6a,4a2374a2,e2591225,28b62d20,5fc3016,c471b636,ff6e8c71,fccddb0b,5cff9e2a,10c606e7,c571245e,8f5bb5f7,77e0a7d9,733560a1)
+,S(ee02633f,c6b41f01,c3c24c33,719db7fd,a9e04b1f,7070395f,e8898a0,efbf6af3,ecdab00c,83cb3465,1d48a696,6a8e4f03,ebecfba6,f73a66ec,4d62a668,48f14798)
+,S(fab36b80,e5bba465,63c9078b,b727e0af,c9bb0af0,2e394f9f,2c90e0e,fe9fb816,75173a7f,f5599da0,ab84519,c7c25be4,1f10172f,fea39762,8e7dab7a,3ecbcfa0)
+,S(68a89a2,62015a57,5f882215,48c6d3a7,b4ad1f92,f5665980,367107a9,f4cc37a,43ea7b7a,79397dea,c8354436,d53e7731,c94773d1,5b067063,b108c559,c05bc46f)
+,S(fa6e2972,87a0e97c,35454378,4a76fb0b,56106727,136474d8,a3edf8b4,e03f95f4,1e80751f,9c127fff,ce28ae,8ce5afe2,eea1c566,fb0a9f20,8030cc96,e1197725)
+,S(25474cb7,805d22f8,7a641116,34628321,f086d1a0,40404c47,ebee913c,e9e02a6,2b3aac5c,85ce9672,61757c61,d6a72dd,4ff81e00,87f0b8a4,999b927c,7b069609)
+,S(6f7051ef,10fc1485,a9c80ae0,8683397d,c0af15b5,f78fec70,fe4c456f,f33b6689,625086ce,ab7a9173,d9c370c4,c336c63d,2aa85ac7,b8391993,7ffe4118,f6a7b849)
+,S(f4720462,2f579de0,701f1e90,558c74b4,ab634664,197c03ed,a85b0fe4,50df4951,c66a490f,f9b588c9,2d17b80f,7f66e5fc,a65187b6,d965e81b,c16039f4,477fdb54)
+,S(3b718764,7e722fa3,de42fca9,e3ba181e,de982728,5b8b006b,d51a58e5,ed898c8,bf872047,f3cd3ea,d7a439b,9d4f7776,7175f940,d6cae8fc,930aece7,e1b92202)
+,S(5255ba09,df1e199,4c99bf21,709849a1,cd7c4f58,a283e344,6b98872d,a416c40f,a1099eee,e3ad10d9,6bce7a58,839fcaee,1b43e0fb,29ac0300,4e0eb15c,63d1f604)
+,S(f4b64a08,16dfe224,595d3a15,8173df8a,7d941a4e,968ac02c,bf87d9d8,93954805,e5585209,2d0cf600,b8b2342a,8371894,f422e3b6,68ec4078,2379a60e,944228ee)
+,S(236d83ad,b789d7df,5fde69cd,86d45d5c,f20c5867,b7f2b398,b9373960,b22b29ab,9758044,d3e06295,e33bebaa,befc5776,5db45475,b3aab963,5fea8dd6,77a478cc)
+,S(42071659,65af2fda,c9e87319,6dd0c723,e7d61bf9,b71e5e70,667c9858,6371f3f2,fddfce02,588c1d4a,b744301c,6117e504,8f9c2636,5ccafafc,8a6e19a1,ea7b1b37)
+,S(7d0c2917,aaa71cf2,e79f1041,5e5e583,ff01b24b,65f1f409,240f794b,d346a452,1e857dbc,c86c1032,e748d8e7,c8f5839d,57295223,22e6bdb6,187b00f1,f489576e)
+,S(f0609605,d6e39141,e5e4f0e0,6bb6d55b,9ea2ced0,6a58d4e1,7c46a3df,18257255,e6d54c0b,10826de6,e95553ac,e4689fa4,cb03b959,65472e65,a085988b,d045374c)
+,S(86e66299,819b0807,af30c89,228447f3,71fad56b,75f238b5,30bef3e0,b1123204,de635715,b1997f4e,c367bcf2,8f8def4,7a7a2069,3a555b5,396dbe4d,19b1e8ff)
+,S(7710dc40,f72bb934,f5f9328a,1284efbf,fad3518a,70c2a0a4,55028bb3,a8b87e9f,d2ebdd39,7dd91ec3,7ffcd8d1,a9b412c1,78f6d228,5e099162,76f9e8f4,a6a28e02)
+,S(3d377c80,25607e9a,fd512e8e,7c37a2f2,8d316701,dff7f318,eb24cc34,348d935f,20d2d95a,e8503a11,de19db36,5bb62213,6cd55735,966c25cb,2a56f07f,19cb2664)
+,S(812a4ad0,d004003e,fb190ea9,336659d9,7b7d6df0,29f29f97,bc9c8d68,f284a696,6303a024,b2d95d18,f04fa94c,df3d0749,60ed45df,584e16ca,d60a0843,551f94e7)
+,S(51cb80b1,9c0dc55a,888421e2,411baddf,6c0eb167,ed9bd04d,294623ed,1bb61dad,d14f756b,f905da5b,6466bc6b,26685501,1fc90892,93633c74,479afacb,c34559f5)
+,S(837afe72,82af09de,108711a7,998dd45c,36654f3d,a3cb392d,c46bee0a,b43cfc8d,88b0ae50,5c30a2b5,72c0f69,8e7ecfea,87ea1253,ec133fe7,fb2aff9f,6adc2e15)
+,S(ab967cb8,463da438,ad360a8b,3e066669,231fbd,cd590904,fe827ecd,dff3cca7,d82043ef,c614db53,8d06f6d9,9fae98e1,ee6f5065,31b05822,ed2141f3,25ebe544)
+,S(5a0b6177,50d828ab,fbf4fbca,576ff8ff,5bd19330,bd357eaa,a5564e39,c718eb49,f6e8d743,e528429c,2cacc478,368d7226,823a45bf,358d9128,9da334b8,5a1b4426)
+,S(351b4334,83fae045,ce964f04,f63af62a,6964e0b3,5c1444ca,68d09edc,9a43c9ea,f571f442,7b308ac4,83bfdb4e,87987455,a2a49f77,73220511,dfedc616,20bc18a)
+,S(fe64fb54,727ce446,c00dc3cd,5de496e8,2d5a0e9,b13a9a7b,99a96a49,2d0d288d,452c4c9,aee35675,33ce8cbb,e444590e,f5756f14,33865ba0,efd00c4d,26db7d8d)
+,S(9403ea3c,773544f4,4eae3cb8,91457ac,89b11f1b,66c3c397,aea8d816,ccab1d49,46ec1e05,d13b40a5,f21ce743,b2ac9756,8ba98b2,8fe1443b,3b0c9cc8,f8a49deb)
+,S(e81a5512,2af7093b,b361ab58,534df80f,dac734d,7a863ad1,b080d691,c4396dde,fb33ea54,fbc0c05,f9854f1c,49cfabe,90e259ce,9aafae3,353e8f51,594d49f8)
+,S(b7511df8,fccf50c8,192dc3cc,bd79985b,15eaa528,89c4d01a,e21767e3,96bec9ee,c937db57,ddcf0997,aec742e9,cd522c10,d4a52b27,b50104e7,b59c441e,3d0fad4a)
+,S(5625f122,4406dbff,a818d98,1e88b5d4,80039f5b,415acc20,ae69ae7a,704dead4,aed9f73d,5265c976,760d094c,e9ced8dd,722122cd,e0b1b34,a8296fb1,dccacfe7)
+,S(1b89696,dca54369,27bcf0a5,de32ff1e,e79f6ea5,6f6ffeaa,bce6190e,bc7e2c8a,52bdf0c7,52cc3e5b,1cb9b5df,adccaca7,929046b,bb67daf3,10ba793d,9369b358)
+,S(4ef2516d,796d1c0d,9baa8491,7c2db149,e7b89f61,a8f8fb95,e14116bd,473d730d,9a0063bd,6e25255a,70479159,d3089a75,834e54a0,a28c5c61,ea3c33a8,7ab20969)
+,S(b36c8db5,51fabcb0,c3fa59e5,9faefed0,1a53b4d,5470ce15,937c889a,a93faecc,1be63f1e,7f85bfe7,2e782cd8,22776567,e3b58794,5f37e2d6,b137da7d,42c8cc10)
+,S(7db8ebbb,88c7c04b,fed18b7e,1830df41,490028a2,2918098a,9b34b8eb,c110457b,73fe3f91,f0f8a43c,490f4cbb,f8bab5b,9a6569b9,22a69e9,93ab910c,520fa9c2)
+,S(47bb0b5c,c207ef1a,db28a389,7606661d,e5d4c740,3b2858f3,209b7dc0,cac3021f,150e2ce4,44f541ff,7883cf31,79befa4f,5df9c3e1,9da098f2,1d73c37d,1ca48b16)
+,S(7803d64,d7622ab8,70a8b927,74e012c6,ab97fad8,4bedfc7b,ac4ce6a,74dad4e6,2662e4c6,1a60a1ff,5485bb34,c1d41d29,3a09a69f,7fe8a049,95245e2a,7770cbe0)
+,S(61a64d4a,9a801549,4fa670f8,85988b67,7d317b9f,9b75e3eb,fc6d734e,fe3d3aa4,ff25af65,16e639b2,b6b0dd56,c0e12610,b1b00c3f,d8c59cf1,3fbb1b74,6282d91d)
+,S(f2de8cdc,ce609b80,af8b34ca,1c1166c4,3ae0ab9b,e742b510,2ecdd5d,2e94307,d624709e,79346b3e,81b98871,84bf252,949c7f21,861fe6f6,666ef5e7,18ec5be8)
+,S(8c740f9f,386f5a0a,228ea52,18a43461,142f744f,87511e9,67080dd0,f3c65d2a,a641bdc8,ae1d4051,a15b1083,27581bf0,22e92b26,a5bbd186,86fb4e59,79f7cd06)
+,S(b15a4b19,17448b75,df927416,2795eb5f,60cdb4f0,e657afa9,989e5133,646ae240,e09f731a,226189fb,429c76cf,1ed9fe62,2c148475,92f26b50,c2c45344,ddc73370)
+,S(44a65d90,26bbdbc9,89b0dbfb,aa645860,d7a15652,5286a9e8,c67b5a3c,e2dde08b,f2f23e44,bb6cd570,f58ec2b7,b90eb66c,30775109,81279b50,2fc90762,3f12b52b)
+,S(60bc8123,92f1e7a2,4eafd5f8,ca0d8fe9,c5880133,209f17d8,6b95cdb2,c9df479a,4d39ae61,cf4368ef,279231ca,b72be100,cfee501a,da7c873c,3db18742,82076a98)
+,S(ad5b9079,36391697,61edf9bb,6ed7ae2b,f7e852d4,bae22afd,655a5ed5,754f3618,bdb40449,723089b,ad8221c0,8a46824e,cefe4899,d5e073fd,8606524e,a81a35e3)
+,S(c8166cf6,97edc986,6f824df3,82a515f,68ef5d13,dba7e0d,43e85727,c6e15911,86804e47,8118c092,3ab97ef1,ab9dac34,2bc48c7e,3fe24e6c,fbaa74a2,2390f4d6)
+,S(3e0a96a,94dcdcb2,9f0df535,970146d9,7f0fd71d,7a4196ed,cd626903,aafbff06,5f6eda99,4651016b,86d28c9b,39efdb4a,b8ad08a8,5c87b230,eaf7ba70,6062a8ce)
+,S(e72351db,dcab669a,f1df2767,f5e5f05,ca80608e,29ac5f09,b1ff76ad,43178a5a,552249f7,7a8b3462,c9a268f0,fee20713,5cc14ccb,15914be9,2cd16d99,b2520af1)
+,S(a08e1278,71ec784c,4f80099b,5d83c5f0,91978e38,7b0b37e1,f4622c15,80fea335,48e6aef5,349f25d7,40ffc9c2,5de543c8,7e0553f0,54990aef,fec51f0a,9b3585a)
+,S(ffb6f3d7,92596141,f7d15157,d1a42bb9,e9b51e21,61a8e297,5aa05688,ba67617d,aea9ba56,8aa7cd30,b9940c75,29cc1e7a,dd60a5b6,8911498b,9fff470,bc4453df)
+,S(9c644072,318933ab,4d1459b1,d684c066,d3df3371,d7659a82,fd396bdc,a9fc9e,a115ce28,5a7d9bed,a2a962db,5041cace,9d3b2a3a,12149b05,ddbae7de,30cf52c3)
+,S(5cd3475d,8a6fee1f,a6e3800e,911de939,a7568762,4f0a6e69,26ea6160,4ddec04,20063702,1d1d525a,f250876c,c4b49590,9ca8b39d,74603979,8c8b4b39,fa07c17f)
+,S(28519616,c035ec81,4e851ef5,191e0545,5f0bbb57,12fcacf3,2b36de77,1c351f88,42ed56f5,5c51953a,6a367398,815963e2,64363681,f9a0723e,7b622784,5cc939c1)
+,S(a4e11f70,b3554f05,d0634209,86549001,53d2ed50,1f09f787,99b83308,4dc894b,331b9d59,4260e0fe,381176a7,1873a66d,a7a3b9f6,2a930e0f,696f68c8,6939755d)
+,S(c5d7c22d,7a8cc553,7ed85a85,46adde7e,ebddff6a,f7e8a6c9,96f50df4,248a4ddc,dd4749ec,bc029503,1106812a,cee59bb7,acf41451,45883a71,3256912f,be9ee03b)
+,S(b56ad6a5,c6fab0,934257f2,9e266052,cdba0bc7,8c8aded9,f0e08490,71770c7e,6aaa84a8,99a4f8f6,3ca8dee1,6df7c090,264e644,de1e58e0,49f99fb5,fd5f4c34)
+,S(16c4dbde,37e8df54,aff88810,678f4707,310f29b6,e9e5fba0,384220b8,4f0dec11,4fbdd92d,56a3f76,56b4dcfd,8be6b589,eb02c645,8a247c9d,264fb65e,c84a3a3b)
+,S(15e63d71,f02f6bd8,1899f95b,d3051871,84b68d93,6a2ac10a,d29c39c8,d5ba9748,20204657,ae0e1078,6df04a71,938055c,ae208105,ef1beeff,663d8cc1,df478ed8)
+,S(3c07006b,8a1e1fe6,fcbc3a6f,fbb7a780,a0008ed,513c9967,853a8cd2,5827dcc9,b2fe428,d4c8d974,72066ca5,ddf32e99,18b5e79a,e81fd6c5,e00b8142,566ce904)
+,S(c7f2ddf3,b3dcfa04,91846f0f,2341b1c7,81ce2cd6,ec20acf9,a304fa5a,7dbe73ab,595d0b02,faae2b6c,f6e84bfe,1183ab9e,dcfd6c9f,411d7125,dafbf9d6,60ec5d01)
+,S(4c239c01,c05d9c11,3d25dad3,3d14ab28,f94742d6,8c9c748f,1773b739,445bb643,dab0d447,de6a8c79,6809563b,e77c89e7,956f6c9b,ed930d18,f25696a2,e436ebf4)
+,S(9e1a100a,c44c33ca,543ae407,f98fef31,28bd1755,6a16e5a7,c1390792,187fac5,540a4e2e,9864a32e,3eedd96a,bb08fe11,b499a551,497e0c83,cdba140,3b303821)
+,S(c3b4d7e1,bf3485e4,d028e424,81608ab3,9fe37649,de75733d,78f725f3,63255d18,8f8b00c0,2210cd63,c04f07a1,e10b1a50,f05ad863,b8cbbbff,9b73c84e,c59b5ab6)
+,S(dc226233,8dadc96e,5feebb65,b290ceca,f8f5bcf3,e1794f9f,6ade4eaa,b89f3372,25bebe7,cae8b7e8,d755862f,dbb929cb,872e1c88,6b7d03cd,b32303a3,b8b5ab9d)
+,S(184b11c0,a52865a4,5f530101,24cb353,dfbc2d26,bdb3af35,d5f029e,6bfe53c9,237a79d,b53bcada,f0a96804,d8072832,4f59f03e,1dc7a76d,ac5fcd01,3838b110)
+,S(4ab97ea3,943e8157,3cfaa8ca,680252f6,577ff2a,a93178e1,e1a3dcee,242b460c,b8a6293d,f316c9f1,5fb8850a,87bce47,27d2a38a,d1f5f63a,39d08c92,e9d6d242)
+,S(a531936,799791f3,cfc8bc58,4a2967ea,66328c66,98ebad8b,5e5fe8ad,8cd025b,c24d6ae0,8fac8028,a3e0e079,426b94ee,2ca7c845,8efffe1,58f6cb2b,c9046c3)
+,S(37cc3686,a6e75e4c,8d7375a9,f291ccaa,937c833,f9e16d77,2591e74c,787b1f7f,557c1bb0,a7c7ed52,93e44cd3,75b04a47,7788181b,b20dc1f1,f6704c10,5a8e399c)
+,S(94fab00a,9418e31a,9a229706,112f9386,d537bff,f5f0c4f1,b241c475,4d7336ed,14bced66,1c6eb134,7684cf29,6a303e0f,fa5abc38,ad569011,c09cbfb7,8316540d)
+,S(14b851dc,c6b4382f,ca64791c,74a3faf5,adbefe65,b36de8f3,74e12e6f,e3c20e1a,6353d0b,ceff99b8,53557d0f,a893df50,598e0335,249f96c9,4e7a46a,3c02ce1f)
+,S(d08e3027,5e05da0c,22991340,8317ec6c,e4362dfc,45b946aa,41e6b541,92c7589a,9553748,22228787,2ae61975,d0969373,8cb346dc,15d07e23,68800ab4,deb5d463)
+,S(365ab0ab,6d51bff8,d4bb479e,a666e110,9a838863,2a5f8cbc,b3241bcd,5ba88ed8,bca2f90,ef0d4145,90cf9add,2a9d6793,d678f981,1ad851b,b2f54b6e,6bd093d3)
+,S(879e8da9,e1363822,b113e70a,b8072081,f0e34a99,49d698ed,a0f55b4,6704089c,d5091dc9,d33861e3,daec5550,1f52378b,65b25a74,27a04483,c862e0a2,dc1038da)
+,S(17006515,8ceda656,b23941e6,33ab3ab,ebb527f9,52ea9876,a8341600,24dc10e7,39a7ce82,b0afdbb6,33e74517,5fef5165,cd44c8c9,d81be0c4,56ee0251,6410b0f2)
+,S(574a4f4f,67e294f8,2055793d,e94bf7f8,aa7106a7,f7ef0f2c,3bcbf2a7,352f017e,eac4aaa8,f4b4cf2d,ed8c328a,99b24623,16ee6e08,8805f1ce,783c4cc9,eff7baf3)
+,S(4ab81205,32603ea2,9f88ba75,f2f0c4ae,330bb5e8,7f371806,de04f87e,69d5e6b2,1f1967ff,cd42f9fd,1f892f43,f8ea945c,c0135544,acb8010b,8285403d,5e621456)
+,S(9a4e968,82b11f0b,5e431867,80dd208a,ba25b3fd,1350ed84,f34f2b43,f03c4378,15653ab8,375c04c3,d7488006,1acf13d9,c5d669f7,bbf70490,44dba189,372f611b)
+,S(267b8cc8,3ed6ef12,47a93f07,b4f1195,2fb1de83,6c3e3fa6,782b5e82,80cbd8b8,19bc5752,1a41c7a2,a9dc29b5,cafc66d,7e2016a3,334b4be0,e2811ee2,4ab8599c)
+,S(69a8b170,876bb1aa,2faca2d0,a4ed8c02,44d2cfee,a849293f,5ffb4243,256a1017,f77d7a37,5315381d,97ce835c,296593b2,80c395db,a5311a6c,c7fc2c98,d314b4fe)
+,S(88aad570,3a4365c2,96946510,5a3a7fdb,6e1f3e66,618c3fbb,ee4c4e13,f333b1ca,10ded35e,c15df656,fabfc4df,a1140b09,196d10af,e1e99b3d,7e1113ef,f7fb8670)
+,S(50709e9b,8620f7f7,7b8b6c69,1360062b,cfbea4ef,6448917b,471c3485,55691440,3946b364,3cb1bd81,818b828c,77c771d3,833a1d4d,dc509705,2e5db99d,6cde2137)
+,S(1ac1d530,7cf465b9,8f1140ea,bbe7a939,df8155a1,bd656168,55ae128e,bd3959e1,eb02a759,82bfa30,1f9fe87c,75b9dd8b,fe2d64d,7ea89836,1aafe22d,448b418a)
+,S(126a8f88,e7f59ac7,3226f2c8,8851773e,873f1ea7,a87342fe,da5d9795,3a1dc956,1ce623ab,abb29b2b,b9fcbde6,a6a6f12b,ec68bfd7,aa98733d,f2452860,bf9349f5)
+,S(592fe608,92c09243,20fb32dc,39e7a42b,1f5125ad,1e7d6790,9978ac10,5471427,c4d6ed82,4d33f52c,d975d34f,b9df5698,968a0c57,9b44bd19,8a67fee,9935d310)
+,S(babab912,e526a92e,d903a942,ae8ad2a8,930ea5c6,17cbf913,7c074060,6462f0bf,76c7ced2,4318c1b6,c7295d9b,52bbd4b6,707a4170,d020e7dc,1c7b5e92,aee7a4c8)
+,S(6554e9c9,bdb1757b,408164ad,1cafdaff,4642a3bb,cf64e785,42c324c7,5be1a903,439d023e,f6c63252,311cf494,4c46a8cc,a3d684a1,d66556e5,dc488d40,e5ddd500)
+,S(79ad3f8f,4c429721,281a9b17,d9c05463,f26bdfd9,c856451a,1050b3f7,805304f2,3be5cb37,da868333,4f9a4def,aa8711a0,adb6721f,d4b2bd38,5ad7298e,940dbb87)
+,S(fe559c8b,e982e801,7427d308,e50e4d94,d7094aa0,635e553c,c591181b,c9593015,9186fd9,c9fbecaf,f4747597,22b34b72,49fb72f9,f02a67a7,627c1562,ae80485f)
+,S(d2b4bcca,38d1b073,5248b4a,7f43f277,8e03f46c,8d7f3a33,ad2dd9f1,70ce0af0,fe0bfaed,846a3f80,10fca999,d0c3b0d0,b54e2fd8,7a0bf751,ba40f560,9eb952e6)
+,S(f6b9ecb9,631c784c,8b33a7f6,3fd0903d,baec116b,3dfd2414,4865b297,5c290faa,95fa4ed7,e67b828b,4c685850,4b003928,8ad9e27c,da175b4c,81730fc4,5b063355)
+,S(3e70eafc,653ef528,aa12ce46,59c90ee4,32979f0e,9df260fa,b9063f3,d30de2ee,e240ec33,b224a5db,3761796d,2c1285d8,9cff64b0,7c36a184,996cdca4,839a0a65)
+,S(dcc76f61,46d05c0d,67bdb161,dc395c83,663ebd48,6bbc6e62,f3576335,a8ee0c59,e451ed85,a9ae624d,4617f11d,67552eef,7279811,6767a29,59708e,3c21208d)
+,S(3bb03660,430c43f7,e3b68acf,fe692b,5ed6703c,c808d7a7,503b3536,381180fe,c84c669b,2822cee3,627d4ff7,7c01c9c2,57c57e80,f35e4fdd,eab84a6f,b96fa1ba)
+,S(5e266477,dd106005,6a59fc2f,df36b540,e051bd56,c9120b9a,41471c46,b1c5c60f,d6a7ff4a,ee4abbe,cee617,1ad01373,d7916899,5370031f,66f62229,1057e6d9)
+,S(c1c13157,56ce83c7,93ca3a0e,12dfc0f7,270a0bf5,38177522,8850863d,37e5e537,750dae34,9090f275,5487778,5a126ea0,f3c2c0b,e3cb9241,326a863d,3179af7e)
+,S(c03ae6f7,96692287,4cd10b76,d06ac08b,578511cd,c502762a,cf14eac6,4f1a913a,b3ba2ed0,6cd40752,dc97e450,10699cba,90f38f65,cc4623b5,44d7a57f,250640e1)
+,S(5938d249,4edde81e,6fd50332,d81342eb,6cd0d938,f1f02ae,562d1305,cc665bf7,b585c184,1e17e6fa,9924361f,8d06b172,89782433,1d65b3c1,7f2a109c,8be27b13)
+,S(e3457146,bf3f5667,e0621ccb,500854b7,a08836b1,e4315d4e,6479b3af,e5c2bcac,3de9142a,5c495249,14d3619,a92dc5e9,f20e4603,5cbe2c8a,95a8e683,bb287fc3)
+,S(4187afe,4918d05b,74a969cb,14f54b70,95387e68,c043a581,7dcd1d80,4ca917a3,4e1c19eb,b38f0a15,36afd31d,bda30d09,3c776545,f2d8d823,bc3eae61,35585569)
+,S(60cabe6e,ffbc3735,dcc19c15,1abfdf4b,cf082768,e62a1176,f056c4be,ff04640c,7b0fbd84,ee9d787,2896b9c7,19448412,c68a1ef4,e5c6cff2,51ea823f,76d6c4df)
+,S(fc6883a1,231355da,115af629,4f06eef7,83447185,edc19e62,b53f3156,e0f540a9,73805d95,d8b2e4f9,d0fb36c7,9f09780f,c315c1b,724c5de6,98d96861,c521a6c3)
+,S(90f37677,e738ee2b,3abc9d42,54085349,9cd02836,474624c3,9513950b,c325b66b,90884e24,a4171613,da7fc192,f1bc913b,31bda925,38fc0501,6a55af21,e08bb960)
+,S(55e68c72,f76925a8,52d38e8,172e6340,3966f148,2a212131,cfca2497,ca40db3,ebd22c3a,1388485a,e4b48b4a,8b69b98b,755084f7,9f9018e,36769d5,d78cb7e7)
+,S(c74f257e,e1bd81f4,fcf512a1,f866b9a2,19586a3c,62e7abc1,112b5946,d5b90e8e,aebcdd14,5555164a,bfa127ab,9f352034,f31a19a1,d36cda02,f51a88ed,9662f44a)
+,S(bc63fc6e,d1963da3,7fa064be,f7a371a1,fb471ded,5bf084d,946a6eac,fdbb8d36,a26a6ee7,e178a31c,4ca535e8,e3d1dfc4,dadee69e,140a37cc,a306546c,26a75a2c)
+,S(9d11ff44,5e331ca6,fa99f29a,78f5e769,44fbebc3,e3b45a6c,d46ad17,74a1f29d,2f007088,110e9ec,66e5f134,b6d61ae8,70b14741,e9b6259b,ff06753b,fcbfbccb)
+,S(5aa47205,f01abec,79b52b1a,2625b773,659166f8,1e300d9f,46bbcdd8,532599e2,f56747f5,c7431031,5b630fe9,b162fa49,26757780,c6ba59e3,6e91c29e,c82fd357)
+,S(14dafde6,c8818744,2059563d,1e2cc095,f4bf18e0,f7e41b9e,97a74089,f678ce60,6f6a348a,a4f72e60,9a44b01c,b688ea96,cdc7c3f5,e559ed8e,d9a1c7bf,cf1747b9)
+,S(ad8cb71f,1a3739c,afc8a4e1,ea77bd9,f5703d4a,55812381,c5a04847,e85e9950,238d1945,cd5d6094,dee8c6f9,41a19b48,d1eb88,5c986dc4,b8f3908a,508d46d1)
+,S(e88df4e2,8b7cb050,aa81792e,ad108c4a,d95e735,6443dc11,f77d70b0,5968de2d,9541f907,f29d79ef,83c25f29,fdfbf819,49f21604,adb5a5df,e939afe7,511cdcd9)
+,S(d6b6549e,1ef4fecc,ab56860f,c7a8a549,a354d9d5,63b9d459,9bbfcd71,7631c879,df7a0e04,18a86774,ba87bbe6,132028e2,927985e3,b1319c83,4e1a400c,7b0ae231)
+,S(d919b999,faaa7cba,99c79a2c,febbdc68,6d94e07b,3edf8350,6e9a729b,f0f834d0,4b19faba,9b6041f3,9d33a21d,285fbf7d,638f3a07,63e2b15f,df102131,49b94ed4)
+,S(b89d011c,57cfd499,fffd2d1,8734f604,83df00a5,6efd43a8,35d5983d,573d902,977f7c06,ed8cb0d4,980c3160,b152a7c9,294d489,2c90fb88,1da40f39,adfe2825)
+,S(264873d1,cf9f6f35,d6bbff5,a2405f40,a5568a80,2fa35069,ce422c61,d9f2146f,36b8e9c6,e73044dd,b9b9753e,c682db1b,550d8310,7e3ea3ce,e8ecf031,500b3c31)
+,S(d4c388e0,950d24ad,6cc1dfef,a3735bf,bd9e729d,99fafc8f,e4fb5266,8816dde1,3d583de6,27789a58,fd4afbe1,af3f931f,5d12df61,7f5adfaf,95830cb5,4b13743f)
+,S(80a2e2fa,40aed900,a7a55f84,d4965f0,2c5632b6,1317e801,b83ec659,cc06e35,9e61e863,69c8a367,72d6a4b4,c2b7bd89,405fad38,4f99514b,485974d3,2342f47)
+,S(e36eb1d7,72d5d498,3cdbeed9,b64fa04,1da7f1bd,e324f1b,a734323e,9f5331ea,6c879df5,4a96d33e,6a66895b,f4d12fef,46d5fe48,8d62f073,238fdbbf,d94126d)
+,S(7852402c,a08ff966,44a4c1a9,3f7186c1,43f0e1fa,203b5991,d3fda009,1e0a4e76,a9b15d95,3ce9b219,a53da27e,e1b03aee,5431e26c,f035fa1a,a067f1d2,d36d5402)
+,S(5d33032f,f7bf3996,14a08ee3,a5b67ff4,850f37b5,eed88e4a,675b020b,90cc4ac,ff5c96f0,5ba73287,f3279907,ebd0fb7,9e0b4866,c32f6fbc,2541d8c5,cbe12112)
+,S(138d3701,98eb6569,17b3fc46,c2a3a1c2,3f7c95d9,d355d51e,c85b6062,4675030d,94314f22,6581dec4,3518cd7,61150f31,51ccd59f,3ecf79af,482c4dde,8a24e28e)
+,S(3f6ddeb3,4756ed69,de83946,b48281b,c2b60882,d0cd721c,5d76c5d9,ff898c2,be8b8841,12fbfe09,9af67a96,8f4bdcdb,db4469d2,34d64d96,99c6a575,518c48d2)
+,S(74676fc7,cf3bce8f,c0c4a774,89b320c4,736b9ed6,171d0b42,17a1433,eeee384e,fce3cf3f,630452a8,1cf3fb72,63c1b5,b66df4fb,864d4b39,7e66c69f,2913c54b)
+,S(e0d1a049,cd49ee87,d71ebd9a,95eef0a0,b1d7450f,617841b,590eab0f,3e883eca,99e00118,42e6a78a,d4c3ec3f,f7a61bea,a1a5f8ec,2f4e9066,978e96d0,cbaef51c)
+,S(531b455c,c6051fc5,f0f3190e,9523aa5d,2d0485d4,3901600a,aaf207dc,7d2b1fdd,b95f8c0a,b0e63acc,542df948,4b112b2e,e49f53fa,7f3e1dd0,307d9161,7c0f313d)
+,S(b86ba09a,2b05e91c,c23db107,9b34807a,778749c0,ed725437,69ff6c17,316e7db7,a91c815f,f8a3b2b7,e5d44357,20e3a513,32cf405f,7501ca3f,b1aa1f59,a01c10ab)
+,S(b63b43c5,af63f2ac,3f6e004b,c790404f,a146ea97,94b1bcfb,c4d0544f,2ca3f33,31654108,481b7dac,cbd48e8,c20de95,11406381,ef38fe6f,950b4321,4b145093)
+,S(63a09087,e237e0c9,686f2a79,af977ba7,26d77118,29c8ed91,4f99dc43,90c64d08,7771ce4,a5e7d43f,e12b5e8b,c819506d,3b85f52c,fdb0f9c2,92c22bad,790d3b93)
+,S(77640a42,4ebd84f7,71734050,7ba400cb,9e8462a6,a91fd0a0,b8f152a5,f5f7868b,516688cc,f422e660,15afa46,b5889331,3cf2d622,d6c829b5,f1d11386,bce41640)
+,S(963ae02d,62739bbf,e75965f3,d1b7786d,c3dc6fc,5667aebb,5544db3,157f8a17,b3a109d1,b56570cf,2a5e5056,fd9feb05,2e8f53c4,f2ced1a5,27c3311d,87ba9dfb)
+,S(81324144,454cb304,36f365d1,c78ea5f8,9a73706,acc49d5f,125fa282,c28ebad5,77a71aa5,54c0da45,31ed307c,c7fdad32,ab82a4b7,2f2a5154,cc405a2a,fddd3cc3)
+,S(eadb105,e80bf2d7,cba9b468,6f6b88ad,34008c85,a7ac4d53,d3fff09d,dcd566b4,199ebce5,872f9dd7,6c14821,622fd343,2b7b6437,3484fe84,714b137e,fa782bee)
+,S(a030450b,52b387b3,35cfe8ec,683fe625,884ad73e,2fc1c728,c8d9629e,dd2024ed,895545be,a9009f2c,dcb20441,33f2fad7,ac704ab4,9435fffe,b92836f5,57a114fd)
+,S(57e8022d,816255a5,f4d577dd,867d65bc,7d7fdfe9,ed8f993e,d9b30531,fa36888b,9b0b7929,3cef66be,c21b6fca,140e6fe7,9b9f2e8d,48555338,868b6c78,d300233b)
+,S(74c14e1a,d52761b1,7206b61f,fdff526,f7008f94,b3707a5d,e5c2a600,97b0dd29,18778822,89711679,c5e41fb0,41b1a806,9b12b709,b526ca1c,44839d5e,3b51e72f)
+,S(5a9ce7b6,6368077a,73c09869,38656705,c017faa9,2d9cd40c,69d8e57e,63f8e229,f716b144,cebe2907,928f4618,821af2fc,9de249c9,5ac61bd5,99a550d5,e97363d0)
+,S(f0fe4fd9,99c66687,3ab4c904,b9b7c0d2,7f033a0c,7e6c1b6b,4488097b,cdb49fdd,1f4643f0,6f700657,90aa51b5,911b4866,c286128e,de489dc2,8e2d6b64,972738e9)
+,S(e86c729d,19347238,a9e97433,355530c8,7b701aa7,d710d26e,6b15ebe7,4796857c,d6260d35,466dbe3f,58d2aab2,1c8d76df,18271247,9715bacb,2a76bb95,5b75730d)
+,S(b4e3a39c,8fcb0dc,5a23610b,bbb564a6,765c0135,1a8b666e,d680291f,c97df351,3f1eef0a,7a235130,b5236a2f,f8c9d2a5,fe5f1cbe,22326ba0,54557513,82ec651d)
+,S(a9c8482d,a54adc98,4db2d7ac,8fac659b,51c1237,eaf1d524,9bcfcf1c,4ae601b5,446ec925,fc148900,8ef10348,ee167a63,a10686f0,7a01772c,10f7592a,2a544a9)
+,S(17adc7b2,c36b1ff9,ea40b398,53246d71,bb973bd8,b469f7dd,fce49aa5,e77b8c06,fc3111a3,8dfc5219,7f41ea77,1682bd8,618f9825,bb2f842f,c7de15bb,224bf573)
+,S(328e9a6c,e7397c45,617aefee,130cb6a1,dd26e727,efcfc30c,3d8f415c,187d23b5,6320e80f,e4a57574,1fed0624,c0f956f1,d5b30914,b5da88d5,f63e17e5,64f8b927)
+,S(22188680,f765065c,360c52d2,851f3081,b2d3eb5,4201dad0,60b536bb,a45a1a41,b1107c8d,430df246,3b3e91fd,904883b5,cb877b,c10b6f,397a0cf1,c4b6eb35)
+,S(620f5772,5919db4d,53b8f89c,5669fc6a,5a3f3846,c31faee1,1e93e53f,b1d20bc7,7d739bc7,4becbd29,2784be81,294185fe,db047d4c,c16c764b,678f9d00,6d27feb7)
+,S(49b1228b,b624c71b,2c23e334,b098e84e,d3d8fca0,56303057,49dd39bf,5296666c,3f316e5e,ca9c1aa1,fd5d23a2,613e756f,8ac5e819,8ac16650,a9dff05a,1c8d76d7)
+,S(97ca98cb,fedaeddd,b13b86cc,4b6bd7d2,140fde57,dae7b847,c51b118e,e3d6b8c5,1b95c9f,1d6c808f,397c3ec2,a2a2b220,6fdf546e,8c70ac2a,78086ad5,ebe28142)
+,S(a679e7e7,3df904aa,e80270b4,d5d57dfe,f5ae819,f240369,b773fa3c,609a1ed0,93201a4b,17286928,be5fdfef,473565be,879cad73,24124c6d,6e1614b5,4e6e5124)
+,S(fe17af2f,70887958,1b9b176,4d45d76a,afac0afc,ff50ac8d,9179e53a,c5e3777f,f59728d8,67c3ab63,6d387352,a029b5d2,e9f2d531,7a508894,9a0f6515,f5c4d61f)
+,S(f7601ed6,fd64cf22,57cc15e8,e554dc8a,e19e4f4d,ad3fb3ea,a7e819f1,98b3946b,a3292ed3,ff088c22,e9a62b85,4ec87dbf,394cd681,501184c0,b841656b,def0fa3)
+,S(3dec302f,cad72c11,54c6b588,ad7f77b2,9368557e,77a723ba,6dcf9357,82d9d917,6484365f,537611ff,49f157f8,6c4bbf07,25094f7f,d8db9a2c,b318ab4e,632cbfce)
+,S(a847783e,46ccf334,d7b15f1e,d3aa7dd8,c5b3ef4a,7ced2501,c26d1dd9,4358adbd,7c56f1f3,323a500a,a3496729,ace84a91,6bc6dddf,90435a09,8ca51f6f,5fe5fa99)
+,S(dac6ee37,3c655763,b01c5012,fe01518,c3ac1b52,543cfd7e,9ca24d6f,42e4bcfd,6b861af2,f2a82f0,d4c458f2,2d264d82,54f16f46,87e31cce,7199f061,bdbc941f)
+,S(27dc7253,90de6a8f,6cd9918a,e3b2f33a,8ca4307d,ca4acf6b,f9c5d0ad,f01b4dd,2a0798f6,7e583426,cca8ab26,e6742692,ee790f21,cb3560af,271b0a09,eb9f8b31)
+,S(1c6a5d3d,10983673,5e27dd2e,ff04adfc,7bae277a,870eb4c6,d6379467,de2dea5b,92658db0,8b6b85d8,5c20ad21,f3ad33c3,8de02319,4bc54d0e,4d758093,b4e8695a)
+,S(cab35e2c,b731cb9a,402f77ee,44565fa,d6623951,be9deb97,88da09cd,d5abb56e,37bdbec3,638594e2,59018bb,9145c4e7,dfb55b13,bda50c6a,c33e975e,6c5d96a6)
+,S(97e4cfd,9e1ec85e,cc49cb90,ada87b99,bcaf8160,9b04417a,70fa66e9,78bf54b6,7423ded2,bc56ddb8,11db577d,f1863fe7,dc758999,55989e4a,d344ed4d,5faa9ecf)
+,S(f2a9b193,6f63e9f1,8333cc3b,745fb2ab,7b3749a6,c59e7d6c,42e387b1,1e9d86fe,3c6b6bf9,1c2c4a,859538c9,db95a2c7,abbf8c37,b6e172b3,cc2be8f0,f18b5484)
+,S(49024a25,11bdedd9,6c84aeb0,707b5b70,f027afb5,8b4053e5,234a9312,771160c0,22ab8282,914e69ad,8d573e7b,841e9eec,2fdfb939,c76ff330,fb2fa5b4,14a4523d)
+,S(781c9886,4bf29760,c44e1f98,9a5266e0,4d25c6c5,f941e2b5,cf92b958,99ecaebb,994a771d,eac92f91,58ecbeae,6227d2b0,4c09df72,c5ee4439,509f0b2f,6e361509)
+,S(8f7e703a,ae008b13,590ccda8,b70d2cfc,4c98480e,2a5032bd,dbd5edeb,aefb7f8b,54226771,863fa87f,ec101303,9238da1c,74f9f446,26b50f07,f35d6b59,bb7ff81c)
+,S(ecb2e955,ed796695,3eb1ee21,564125e6,e860935b,20fb99da,91556cd4,e5e57bbc,75103469,9b958e18,638f4e00,654d6eae,f5631483,4c890ebb,7e2d93e6,9f4d8bf7)
+,S(971cd7f2,9ce90bff,4c46eef1,9df001f7,afa6af09,b553e8c7,792f4ae4,d3f82cf9,d4180c19,7a579e31,f27874df,f29cd17,98e5740a,36380349,6f7dd211,59bda50c)
+,S(7ad3b286,3952489d,42cc8394,413545bd,90fc63d9,8558323c,feb8e7e2,50ececf5,5c566bdb,5efc3683,2b22aac3,c0b81f6f,bf656c11,5514ac9d,8a223071,168f139d)
+,S(c905b52c,ad0e0281,a90eead3,3939c836,ebd591b9,26787a4,2983804d,e658aae8,df2a40ca,f95aa72a,181f3424,98024f72,f1b9e46a,3816cf3f,ba5ac699,5b996fc1)
+,S(e2517e6c,84856497,8ac94585,5c80bdf5,7c074b6e,fdb01cea,e93c17dc,ae4b3ff3,373ede93,2f369807,56afd100,e2f65794,69247690,61a597da,80d10fb6,bbadd3a8)
+,S(4d52a8e7,2f3cd95,2e25c8,175e82b2,726a8d95,b735c8d8,a0f1805b,6d94ad78,248b7174,61287611,8000136,dc92b841,de63ef18,a7c9ff71,a10a662,af76ff17)
+,S(58e5b42b,e614cca8,e131cbea,24b3debc,9d9390af,469df700,35a01957,3307ac,be4a397e,7809c9eb,2113246e,7812c403,4d42d8d0,c353d841,3001280f,db6bc220)
+,S(3f177142,a6e6eb65,ca5e1609,cc89df40,3e3c74c9,e5b291cc,49fb0d8f,eff86ecc,2a445bb0,b648487d,3b962bfe,dc74e4da,d1d98845,cea5f4c8,d2f0c4a8,2bc4c514)
+,S(3389c700,9b2b0c6d,a25a9610,4660a164,172a4c21,d0ddaada,c6902bd1,c9f04b38,413344db,77b83806,80647da0,d6086ea4,d1b8394a,a0047a9d,4c21c667,ade67a90)
+,S(ecf3f933,4b2b656e,24ea0b14,7528c490,c3a566ea,c4c51885,d3ee94f5,7370b218,3c07fab9,b6404f24,77e4605c,345d3a93,adf9a06b,649206a4,b369712f,7388af0)
+,S(a090739b,58310867,5e460a26,7e29f228,effc954a,137f358c,12be2fb5,8011b2bf,a3563d1b,7f242a1f,7ff5e505,280c3898,13251c4a,d9392d82,d3b12a07,e22271f3)
+,S(a251cd29,357e5300,5a8600e5,bb9d56f4,c8251f6b,46b4d99d,5dca7b2a,31f8201f,51764fe4,596059a3,b1eb06de,56c6e21b,d58e7194,8e1b6e65,51e53333,5f9721b9)
+,S(1f9aafb3,eb39814d,7173b85e,b027ad41,be210c3e,e5c857d3,56288b3f,3b05c5a6,d34526cd,16e7d3fb,76ecdfc8,c11b1bc6,38762bda,b03c1c07,94565cbc,df41febb)
+,S(dbd4b724,1fa4769b,db161472,1179fdf2,6df4372c,d3b0c4d5,1e37fce5,317e7e42,7e9bca3b,bda0e211,5f2e69cb,8fcfc333,fc1b8b85,70123816,802b22c4,9634219a)
+,S(9ce40b75,7a257205,fdf51545,7d6f9691,7e54a5dd,32b76230,4ec50c2d,3b89b06b,9b128748,851dbe81,255f60f8,1e5e9de4,6b20a545,afec40f0,38beb9a3,f7402e88)
+,S(12f6c70f,46efbb73,2150f775,5f597fd9,2a527a33,7039def6,5533cfb,18df3406,7d9f18a2,4988ea,a41a1364,2a1555c2,bc9bfce0,dd62ba87,fa628b84,850e92b5)
+,S(3132e530,9b169a3b,7401651a,351f7fce,43471b19,7ded3d1d,cb0b768c,5620fc5d,3e377f54,92c99dab,84f4e45a,7cba38e,9b589fa7,77dfb334,849310ce,53294287)
+,S(87160125,8a8a69ed,d52986a9,25a54ed9,51f561cb,8ee9e1ca,6c58b826,495b9977,c5484596,8ebfc8c9,5f317681,78379b88,2e9c2548,b3c579eb,f6da5186,5d51f36d)
+,S(82674b33,ef500391,2dfd5f2c,26722df8,19fd265b,3b6e4cbe,239bea50,298653f6,bb6d0457,2adf23db,86b07019,f2f59fa7,ebb4fd2a,ac36ff16,6b22e92c,3952245)
+,S(2efc1011,28432933,56af99ba,ea2628de,a518fe02,c5b0eddb,3688c8ea,39d4b07f,d54a087e,bef0923b,6244b21b,f260eccf,e7d590b5,cf98be51,856347da,ea48779a)
+,S(f2164194,5de0542c,de90f1c,4be955cd,98f6bb14,ff30ab44,92691985,882fad46,a87f6725,e89afd3d,6f24db13,39fafd45,5f578c9a,104f6509,c83d0694,ef795dda)
+,S(72d2c60c,6f9bf0e5,5de82932,88c298b1,4d851deb,6ba7421e,ad22f3d4,2b47ee88,29626eaa,712e6d76,d85b9f7a,7a17461e,132c9bb7,a2943379,c5eee30b,1ffeb1d8)
+,S(9bc6dede,ebdbd843,a5534fc4,71212480,ecfba4d,96acfbf7,25e980bb,8a509773,24ef23cf,e1580173,797ffe5e,baff2fc4,3cbd3161,e87e32bf,463333db,5ca904ef)
+,S(20ea6c3f,51565fc2,bd5b8eb8,1ccd20fc,f3aafee0,9ccc9de0,733df6ed,8caa9c81,78328fb1,ff260b0f,cea69e1b,77b35679,d6663513,8f136c59,127ec2c7,d9668dd4)
+,S(aaa2ee28,a4724d91,f37044a1,3b264ea6,9dd9123a,b3b7b300,999564d1,73057339,250b6164,2ade568b,8a56ae82,4488e740,b9a65f7e,a2b95f3b,4b11b6a3,1b49fddd)
+,S(a1e54535,4a8976a9,33c04366,f0361775,824383e5,2c3aff3a,357788b,38014ab1,a6a306b9,b0a7d3c3,d6530094,9efb038f,a0a2cd1d,79bd495a,487a95f6,ef2b7a7)
+,S(f2b0c76,18fc3ca9,f9ec5d65,2f39b6e0,158598b3,cb90b20a,53fdaf97,ac58f7d7,1d63cacc,7e8e46ab,47ce7e4a,e5a3336b,8d3d9bf0,f05bc428,f6f769fc,7ec6cd15)
+,S(91843b8a,90a43571,4d7500de,fff102a2,fdb53914,2bab12bd,d3f23576,75a9d62e,3cc6365c,7dc3813a,d51cb2a3,d86491c2,c4e38f2b,10a33181,374bb0c7,ac90237e)
+,S(f73b2226,8122a4e1,a440f891,14fd8d72,19cad2c2,9798cd0e,3631eeaf,6b125a92,bc14e84f,ed149aa8,ac261f96,6b192168,26f5a2b7,cfb997c8,3f293101,e758aae5)
+,S(e87cfcb7,1f2b1c9e,8506b0e5,c56b14a6,52201397,1bb4c53c,855f1de,45644ff3,7e3399af,b4a9f70e,63907a29,c02e4d58,b2e76517,e4f2f2cf,a3d2fdff,808d5b08)
+,S(b9657f0a,6de5cebe,47151293,de1fc3fa,b2745a18,bd5c4b8c,62282f26,84404f21,89590e9f,a787f41f,79a0b8b7,682bc353,1ad60107,771233d9,ec303830,e8e8dad4)
+,S(b62d02b9,de395843,eb69e8bb,4d974590,7c8d3b26,cd4b13a5,6b4a0e27,44f449d5,173cb5ee,60d3999c,7e795607,bdadf8b9,acf9282a,d7a68ee5,6a204eff,ce5fe751)
+,S(b6998e3c,31e9cca5,251a9d89,1aeb5384,fa86c92,74a0f027,8f2dc67,34b5f8fe,7658a71a,fe032a5b,ccb80a1b,1516faf1,5a3e8638,6f74b2b9,b6d17cea,61c3ac5a)
+,S(864d4c66,4db88b56,6471852b,eacce0b3,52b55404,46444cbc,afad4f17,204a0170,7001969a,fb35a3ad,fc553e00,b6faeb21,c8fb1af6,135e86c7,f7e91397,a826346a)
+,S(22a0ec9d,ecf7a2d4,6f550ff1,5a8f1c8f,6efeff9d,3ff65d47,97512980,216c025e,9d60fca8,97662f4e,947c962b,48522cda,c7ba956c,5a23c3b9,67f46073,af0980cd)
+,S(f1be1f63,769f74f2,947eb25a,194171a3,9f9096af,cd454ad3,35809b17,d7e69fb4,b78b3a16,b734c528,c1911d95,895bf873,fcab1440,b62211c,25aa247c,161af243)
+,S(7b196c23,1a7650a5,9db8faa7,39b7ffea,488b3623,a0bd7a2c,48b51c97,f5726c76,56e84642,2c430157,bfab8821,9112124d,6bb968e9,3ddd6b77,7ee08228,9a7e1241)
+,S(6ad31b05,5a1f1a65,f4e554eb,31e3e048,8570032f,8af2891f,4436c640,9420849a,edeafdae,d10bf173,5de8ffe8,41871909,79f6377b,4cb566f6,3386534d,89bde755)
+,S(fb0f3da3,a44c0921,85d90b80,1e7f5aad,6c85d5d0,b9cc4575,ad95ab34,4fa6aa7f,7857f22d,6f9356b7,96020384,919e26de,b9abd707,4dc6db0d,768f630d,b3589b18)
+,S(c39b4ddb,edb892fb,2394e875,7c7815e2,f487f81b,45c60749,1c314350,c929d96,530f0c07,68e66dde,e10f0d95,bd66c07c,ba10f165,dade7bb3,77f8b7ad,ac4a673f)
+,S(c50b3ae6,d14b11b9,a74dffeb,a5bfb9cb,73652cdf,a2bee6dd,6cc3c912,c312e537,85ac82f8,e3aad88f,9af29cb7,ba66f8a5,8c340d03,a1f32654,2071ba6e,99705377)
+,S(a763e636,4e4959d8,9d3047,bff6fbb1,912d99f0,c092fe62,947d4385,2427ec02,bd799a82,a3cea8e1,db94946d,c7d32236,13b008b,da8eca4,921c985c,c022622f)
+,S(2abdc992,b2ba838,1da0c2c6,2b35d3c4,ec1a1e39,516b6afe,81fdc7c9,cf3715cd,8115c826,d214c36,36a8fcca,37e89dcf,4be7f34a,2cce7357,3a6c42ea,9e084a66)
+,S(2cb83bfa,ef83ab3e,53216500,944b2db0,e8cdb6a2,caad1eec,c9e14c33,a16a07ec,5b1b1199,6e84c17c,13c070a7,99dc0975,3d374018,6f9ce89a,bced7539,7121ec7)
+,S(2687de95,b368b07a,7808ebf,e45fde24,d66fdc81,a02744cb,3e96e847,f0a3ca41,5728b8fa,aec73963,236ca282,d1a8946a,b2a26f28,a239590f,9d38bdda,d05a846b)
+,S(b143029e,7f32bd1b,a381fe82,8da79713,b53550e,f3cf867,4ef1e952,d4dff9d,a44a622f,ff5fb466,83b69803,c6ea5c16,8d86c673,3ed94058,81aff0a,2a8edfd2)
+,S(4c54d53f,cefac583,6fcf3b87,7202afc4,ccd68695,567c7fe7,6068546f,aa9070d,7f42728d,78193fd5,946f3787,6ab124f9,b1045ae7,45df58bc,cab6f59f,a27c6f18)
+,S(6b625111,556e3ff5,db9cd8f3,7f610b3d,718220b,e459f546,47314b04,b2ba9d6e,b3ae66ca,fc58bb7,5a057767,8bf806b2,c204b90a,fd114ae8,4ed51378,53b30a78)
+,S(b3fb12d6,e16e4279,5fcdc1ee,23d42f9c,198debdd,56217af,5b76989a,271b473f,d38adb77,4ce1d0b5,e41b65c,7c973a27,10c5621f,594e6f70,d235f5e,a4a89386)
+,S(9c7c908,6976b590,ba9c80a5,fe12c5f5,ce6bbdb3,5a4058a,3cc59899,82073ae4,399687af,4d3e221f,6168ded6,31644c35,e41606e,94583429,34693221,9322da67)
+,S(28cdf6d0,f0374a35,4dd169a9,1c3beef,fc88dea0,4922f841,401ffe91,8bfbddb2,2b8f1d3a,6f001d60,95aab0d9,d6248cef,cf3b97a4,850d1a43,ad2bbb3e,d2ea4518)
+,S(1974b196,a25b6446,2ceda38d,d99662b9,7dcd0d7d,15299c00,9b8d14b7,f139e7af,c685622d,96fd6379,6bfc3f2b,6eacd54f,83281ef3,50d2fed0,2507a157,9fcdb74d)
+,S(3beafb9f,4cfa3570,3d3346f1,afa48acc,25909889,a60b76c0,6e7774c2,acfe4367,6c8c09ea,7233ce1f,cacc82fc,9c1dd357,51021b92,fb86d6ca,3749bd58,6dfa369f)
+,S(b5cf157c,4586fdda,16a111c3,9a500daf,b1aefb07,e32f78ac,a23664b,cef3be73,1d273f45,58e7c2ed,6f46ed71,e297dac3,59489934,b10afdc2,cf0f4270,ad6fd53e)
+,S(9bd52baf,cde37895,9439aba4,b1fd4080,84441657,c2b1b36,c45446a6,7b661d6c,87f63761,6dba07e5,96d71dba,f86df28d,c506a123,c6f082ff,47886a93,da068ebc)
+,S(20cfa2f5,b391d687,b89cad8a,a4c5ac8d,8624d4c1,ebc94cd5,d47999fd,3278febc,1bd4a896,4641d8cc,f6926323,8b1be2c0,49141736,ee780ba,d2110f27,a674239f)
+,S(e54db30e,e18cff40,56473478,2c61d437,c79adc23,51739315,ba845adf,c7e8b6cc,ef631e42,9529a407,cb3f832f,6aee6fb,a26b125c,fd28f43,b9f07e4e,ad8b0632)
+,S(588f13bc,3dd3b927,7508ca9a,82ffe280,fabd5cb3,1413e848,2a2aa4d1,78a290b0,95c81a4a,44e6af9,5d8f6fbc,ba3884d6,d6a54057,1835184e,50f5db88,d08517b6)
+,S(1927e8dc,ddc7ed4e,62a32a82,bd4a0977,fe24a571,10b1acf3,78826484,de7e757c,e0a9674f,76122a18,dc6004a7,ebd1da86,f98e896,5585518f,bc5f91d0,4699719b)
+,S(7b82c663,aa2201cd,71dd7c2f,b8303264,8639f9a7,9de52706,e2deb38b,85dfcc36,90dd6e59,e98c611f,a7162fdf,8fc503ce,71b0ad1,dd150698,e4c21916,d5ded962)
+,S(a15fa4f5,97086036,9e9c3946,5f16a458,c7b36ec6,6ad384db,7803ce19,555a2bbf,bd406283,43e40d18,25a02557,6bbf752,35e34400,dfabf022,6cf2bd3d,8fe80901)
+,S(2b6199ea,7c42b7b4,2230da51,a895ba86,83950dd9,d4d5ecef,80512976,a0df55af,26ecea05,16faa497,3fb9865,16415ebd,93ce4a6b,e4b5cf11,3507d3e6,6a70b692)
+,S(35ad2f4b,b5ba61de,364e8198,f5404ecd,4cdbf26d,7072dbed,d9892804,364b43f4,5481372f,7d1af5e,9e60cb02,ae8512a,6bcee9c,eab1344c,6ac5898b,aeca2e94)
+,S(f4eeca4e,2ab38839,8a459df5,b94cf98c,68017522,353aaa98,bc606bf7,5008c6a3,e016b7f9,aba6e910,6a647662,1e7a5b7,12ab97f6,498f451c,21902e0b,9b6c2c2)
+,S(6c488180,aeb6c444,78ef24de,21a47431,b2e26d9c,bbf059a5,84631829,a75ec053,ccf084c9,38491cfb,8cf0349f,fe80a315,71bbe0cd,dad9a7d,a4434cbc,9160baae)
+,S(a52e5bcd,2214d405,57360828,10ebe384,a94f79a6,579a8966,6f1ef7cb,bc80f4e,c28bb594,e15c47df,9bf4ef2,2666fe4b,d916dd9b,e62b60d3,49c2ba11,506fb79d)
+,S(c55414db,3374563e,5c79d9b1,1103ad01,7b7c04b2,3afb5431,8c469cb,49ea9754,f54a4335,7bbaf088,4d18bd70,6f3d69a2,44f4d527,a6dccf5e,52f468e3,752a998a)
+,S(b7771609,335ac0ee,1e82539,3fd3cfad,5cb4b06c,98a05bb9,95966e4b,6fc1f24e,f305d878,33f95e99,ff6a3b4a,2b77ffa2,4cddd5af,d253ebcd,d60abb1,438e0745)
+,S(da220e1c,c66af350,10736e75,483e2573,91f6d2e1,d355d05b,8471cbcd,4b64832d,bd028d5,5db1c54b,86f6f123,bbabe6b0,f3e52e02,ca48d92d,464311a,aaad3cea)
+,S(1a680b36,991edb40,ada892dc,6c102b0b,186bce17,280f9850,ca50eae4,6951ac7a,f03d7958,b0789cc1,43d61fc5,11b70f9f,1ef17239,dd6a057f,ca394f62,225ed9f6)
+,S(af8ca10d,b1975668,b8071ea9,5d474b5e,424d461a,e98b5ab7,bc240cc6,44da9c57,e74ea4ca,59f926fd,89bb2bac,61790ee0,50d746af,5e30019c,5b53130b,9cb9786)
+,S(e6014570,2ad63dd0,5d98c576,c3d5158d,162857f,7b83045e,d91865ac,bb347922,52931836,4a9fe323,40f13c0e,15c955fe,f718ec64,4b45b141,33fa2edb,c65baa18)
+,S(56eedaf1,fec96ae,c2f1e051,9a1c4a76,dc0ccd67,1781cfbf,7804d215,626dd5de,adb8a791,b73aebc9,c6406e2f,83e611b6,286761d1,a6c759c1,de85658c,a4788923)
+,S(43c5272d,a3dc8c2f,edb0f5bc,a5bd5f40,fea4bd48,9f367675,cb578690,636fe0ad,52c62fe5,1cc2dbbc,57de501b,839cad13,b94c9e12,12b1cf30,d8463605,f7871c43)
+,S(66e76528,7cd0ebb1,9d9e0d76,aaab4230,1aa87367,c3a3f96a,101c6125,84f816da,39a4d3ef,8d263217,3a3a8c3e,d9c1b460,e240cdc6,9c9cbaf9,89535604,a2f28edf)
+,S(1a274502,31f1b5c4,9df7564b,f311a7bc,d5123e75,2471c243,65c0e142,d3b292d4,5eb550b4,ffcb5e1e,c695f22c,dafada32,1e967ac3,7e1fc20b,e0e695c4,324c1131)
+,S(36f1c3b2,ab6a692b,5d3b1e10,f53b43c7,7d5c4e76,90e089dd,9e70eac2,773c3620,5553cea3,8e56a7dc,384458b,84c419cf,2d493246,1f75f16f,2d1a547a,6fdf0289)
+,S(1ff0f8e7,8318fcb0,2b23a1d3,61015c67,6b1a446e,784bbdcb,c088b241,3da40369,39db7b2c,6923a1a2,379b58ee,cb91ad5,554ed5c5,60d5ddba,225c0074,e9fa4415)
+,S(c5d7b7f5,d6dddac5,2a2021e8,437f771c,216bfb43,24c57ba2,e8b43a0b,dfd17e8a,78fc37a3,9586cdd2,f1145cd6,f9beda83,43e8ee5c,854c256d,419fdb4,1c9d2bc0)
+,S(4af5a3c8,cf107e16,fdf3522c,47fff7c7,b2fcff70,c6c8b36b,7d66a3e0,4b107250,b1b6e5cf,de869937,45ae8632,c5e2860c,76a5f481,ac24ac86,ad135136,e9ff4e04)
+,S(37b59d45,86fff48f,67ff3ea3,f31f721c,3daee8f1,a2ff960e,3f77b793,3e35b50,73a7d048,2c93b9eb,4c2f6359,3ce61497,ed455970,9b2ad7af,2d0f834d,6f070d98)
+,S(6e9dd180,d5b7c41c,5f529439,e46534ae,b80bd802,b8b12e0c,ccf532ad,a99e663d,e981b043,e936da7f,ecef09e7,cd118646,5bdeaa64,45a00a59,1139eb9e,5628004e)
+,S(fde9062a,9f7e13dd,39117543,be4aa5a8,fa10b810,a2285661,720b4586,68acc236,fa39cd20,a5eee1cf,3727df99,32c5289a,96b1409a,5721b9bf,1ad8f42,ee35069b)
+,S(d7ef4012,ecc74538,16c392d0,4d1ffdac,76a30992,4c1489e5,159149bd,84847835,b2f5e699,9883a21b,edda98cc,ccc1ee2f,258fe291,c508cee7,39619659,e18c9720)
+,S(8355ef2c,f0e37956,56b77adb,5f700f75,47e2c14a,b5f6a0ef,8716c99b,a919612d,d75dc6c2,fdf0260c,6682b16b,42d022f2,f03bdd1b,1e6ef520,da295465,a1988eee)
+,S(cd49e795,63655bfc,87bbba18,b72a0c50,52568a26,53bc0543,3661f3e2,2ff159ba,ab28dd46,696b7414,1365316a,c8cd8dc3,2c2f5e01,6ae34302,d103cac7,4e37d25c)
+,S(8f93b20f,28f89a46,1afdf08d,7550964a,dfa8df2e,ba2c00e9,9d351b84,2d6e0b78,92ffb09,812b6970,7746493c,c833bdde,6849a2b6,ee7778b8,2b41adcd,62b5620e)
+,S(a7b3fa74,4621cc50,f6719d0d,5fd3f2d9,6acd3163,4dad1114,3ece3db5,d114ab2,948a3716,9394841d,68e5b64d,2f86798b,d78c8530,bb8d4d61,f82b5f51,ed0f56c6)
+,S(e16b540,d62e3237,361ba514,a11f2ccd,ff72ae57,b37e58c5,d4c3c49d,2cc8fb7a,67efad5f,f02c36ac,a0c0ab0f,ee5e5135,fa7bb3c4,51472d37,abd0711c,6618a7ff)
+,S(589645ff,5c3dc06,9d2ff542,5278a51c,c4fff14c,3de96036,b773497f,8940d240,1ea7ba1a,95f65259,c30ce21c,a95b3b95,83d11b10,3c8e633f,6dacbd2a,fbe44116)
+,S(d551239e,3448ccc8,9a83b8dc,41396df7,d3db0c3d,f79490be,9d44636e,f5f0d0d6,779118ae,a8db8a05,f2231b5d,923e9d97,5e69a462,5c2ad551,5a8e7777,b1b25899)
+,S(c45a22f2,9f611893,d8577d7c,9c1cd46d,82f41b48,a7c18628,ddb609e5,abc434f7,515624f8,5776268b,5a5c74fd,8d87f8e3,3e47648e,2eb8c2e8,27e9b57f,7fee5a1e)
+,S(fb8e4546,639d9571,90f2840a,2f72ba12,a72063fd,85f160e7,18477d01,26132b85,3cead630,f8bf75c9,31d19cd9,6f4f3718,1efc4854,b937ac31,c3e0dc6e,363db575)
+,S(ec51e7e1,6cbc70cf,1f053860,fd21e120,98b652f8,df9eb31c,74eb787e,87e5ca5d,bd5afa95,6996b7b,357b475,fa7a326c,d6c2505d,1ebf6fa6,feaa27c2,c2685867)
+,S(52c497f6,f8b9189d,30fc42cd,9c2a44d4,2d4f70ad,815ccf05,4f50571b,2570bea5,35f54d97,a45e2712,b0f9a720,38adbb27,a31cfefe,c065ba9f,883d36c5,c070e9fa)
+,S(2fd360f,1680b7b6,5f49f64d,5a648e8c,97e4a756,fe88e107,91fce9b6,295cfc85,7a88eccf,c4d82e86,72780c6,e1c34bb7,51a6029e,dea0cb77,3d29a85,b0689f5)
+,S(7b328546,25307c85,f9ad0c31,ce2c31dc,e746931a,57ec42ac,16231165,74f63d78,6862d363,4360e404,9693dc03,772f4840,4a30f167,993c8f1b,56244c0b,af6e29ec)
+,S(af76b473,4cf5f641,25124792,fb558b97,df60d67e,41c2b104,ba27ff35,e3be96c9,21e6d4c6,c1e0d3a0,69520227,c4cf2ef2,8204d85e,26f4ebc4,5d6f81cf,10defdb2)
+,S(5b1237e0,54c98238,df2ccb28,a5b42b64,cabac24d,1126c8ea,5520ed69,ac449521,de7ac1bd,4994cce1,8800ac0d,5499c33d,bdde3096,1a0c9028,58de0325,b91ffc36)
+,S(b81bcaa2,25743a49,36fec95e,13c8c20f,f818ee5a,6bda3850,870492bb,b3380d5b,6ea959d5,483ea6f3,5b3a4a5c,1987673,a8196c98,d8efe8d0,3aed5884,dcb391ce)
+,S(5f6ca7cd,1054051d,3d8a2a83,73be30f3,516b305c,feffe073,ea2773fd,77eeab3c,89287d8,22775f53,61c931ab,bbc43d38,380488fe,5e35124c,2daa5441,3b36c126)
+,S(ffb3a36a,8345f9ca,30369f21,f04dc9f9,d5f0282c,d0e1d68b,f5ca1cc0,c05ca91e,21ddcc3e,f5a94fd,8046295f,c0629b61,b1e8fea9,364fe659,d298e0b1,be5a6c17)
+,S(51902e3d,8801dff4,e6bfe7e8,8f600d75,42eef0f6,e186df29,3a8c691c,d57b36f6,48a27fbb,cf9dd38,a1ab966b,f635fbeb,35bc3fcc,52f0cae0,d9a3ad5b,2654eaf1)
+,S(f1a68a75,8f0f8937,e14a48d7,15c4cda0,679d9b9,12682182,493cd9df,c3ccb345,db85d3bb,b8431e56,d21e8c1f,4eb1c750,225bb222,38da0bc0,30e5da0b,d4f4a985)
+,S(81d88ea8,4969d53e,fd0aaaf4,248a3558,f37059da,a4b3d32,da538bf,ca1a4d15,840fe961,11756d96,5c8cea1,32067ccf,31ac66bf,e1086f16,afccdbed,f16a2d33)
+,S(b5830ab6,2e236cbe,345044f3,af940029,39b00b52,e779ce10,b02c446c,84163e95,d8720333,b210a391,499f38e,134a0989,254faef5,126750c0,ec2a5850,e1d4a821)
+,S(b50caed0,a4e9e41f,f03d16ee,1848d92d,d4e6b76e,4e2332f3,793e8650,20bc4d11,39195ffa,13745502,eed8801c,40f36e2b,d9b636bd,11d62388,8ebab8a6,41d3ab54)
+,S(6190402a,3750824a,149945fa,df942c0b,3622acc,b2ee1304,f260593,8de5c333,290f4d4a,73a1c72d,c5ff4228,41e2949d,966da112,5278d082,ab779e8e,d4cb179d)
+,S(8966488f,4e991a1e,e34552be,c6246b2d,b9486442,47fda545,f8083b7a,b0435060,7daa3ab7,87283446,a7900c83,b726b849,f7dad684,6326148a,aeeb6233,738c6c4f)
+,S(edfa388c,fd246c1c,6bb7bd9e,6d9d335f,9cbd7018,ff2a750b,4ba976d9,dd922b5,c74e1113,f10e6954,6848e4f4,11a5afe4,bbf7dfd5,d252e66,5789627b,b81ce714)
+,S(304740e5,1b99d9ae,97de2a55,8dc1abc8,60bb8b5d,a52f6208,af8e28f8,89904951,8ab409b2,3606089e,4a111377,c8a94e5e,75ecf098,4f62aa63,faaf7e18,f93a37d0)
+,S(d4ca8aa5,e31028a9,37d77295,96b011aa,c26f58cf,3a7ff671,99aa7f30,3e00bc30,5ecc09b3,bcd9afcd,309280d2,617cbfb7,e4a9350,b4ef79ee,1e46a8c9,56d46fb1)
+,S(4110ec3b,ae03a061,59910aac,4f2e4bd7,77d5e055,4eb6920d,aac4b835,2d7cfb4b,c1237e1b,d6f1cf1b,6fb0f248,9e3712ae,5557e4b2,f72ea7a2,2c482e6c,d84eba92)
+,S(f7c55f97,3e9df72c,c9da8e04,b1926688,1d53f810,fef5e664,99b81f44,e4f9800,4b45e93f,e02c3993,95238c80,b65533d5,ebd01cbf,1b3dbf44,4d550cbc,4652fa89)
+,S(2de3290f,56fbee3e,15def5a0,5d65436b,9d722e3b,a435f269,a5ee0231,857cbd29,f80d2ac2,356ac72,f3106b47,5cbf3701,bf924e3,48e93c9b,f3327b55,bc203828)
+,S(c8e3d2b8,21922146,1862d5d3,319c2abc,7dfd568c,59df4367,eb975a95,6e22fda8,d6ec1b9c,e758a8c6,47e718a3,ee8ae232,c416d763,d2887e19,54ae4c30,30404f20)
+,S(50c1a147,c117d907,fc831f72,9be19b3e,e93733e3,aa3bf402,e64760e2,edc82065,acebcfda,80706b53,116e4cc8,cdede6d,5aa1b7ec,62ffc942,572f729d,47396289)
+,S(7bab8930,55114c0b,e4f7637d,ad165491,c21d6970,c8036375,1387012a,7b785528,6e31589e,2ecb13e,b7bca5ee,39e3bca,fd2e5645,6574a642,131d6178,901c0d97)
+,S(dc94ff4,44a12ca9,5180904e,58802ed3,d1be43d9,8396360,e9e932e5,622d257f,ee2a426e,4da3dbf9,8a6d5ad7,9a5437ce,6fdbede1,25e836fa,697685b5,989c86e2)
+,S(efb2b411,e66f8e8e,186b0fd0,c572381b,e9edc68a,903e95f3,759a11b6,b6a9dc40,4a7af79c,a1383f20,55bd080b,f410f554,24a21ae5,7b57b63c,bea36486,6c30dbd1)
+,S(2f37ff22,26a0c4b8,77a36da6,7a423f59,497a26ca,8066a651,c13573c4,4954599f,f9d1c91,2b74f663,56798637,9de41a46,683a7cb7,61ac6e3a,86d65094,d1e07a8e)
+,S(63aa61b2,e24fa178,95688d95,442844cd,7e68edcd,98eb3496,ea071c4,5b46abd,9423daf8,b6c241f8,785b76ab,a40803b0,97da461d,cf6579d4,4308c9a5,e63ac4e5)
+,S(58618e22,93c52375,4db8187,34e355ae,27b73f7c,4469d7d9,115623f4,e8e20900,8531be34,22616853,c2c095aa,138819b0,bccd7c51,1380c64c,65ba2500,ae18794f)
+,S(61418bdd,2619e7c8,f32c8cc5,34097cc7,4a9a0c57,a38db50b,ad828a60,f658fc0b,acec4e21,774d283b,db9a8a11,115d20be,20cbfcd8,2d67b10a,3d57dba7,74537c48)
+,S(79ed2dcc,dd4bd25,67dad04a,b32c9273,39a9c592,95a69b09,be7965a8,c779b2fd,64860dc5,d17e409b,4feef8ea,8a7d7350,3eec186,1fa15f8b,f5576a9a,39f65283)
+,S(a20434a4,c51da2a4,c7a6699,84f41ef4,67bd4de8,a628fbe1,385693ee,6b6d8a52,e2a00a0,d00aa33b,b49743ae,6f9c824,d2fe1f7a,f51f7720,cfb0d800,94279dd1)
+,S(d8c0bf47,530ff603,c140503e,84fdf6d1,ed908b98,cd27136d,ecb2c4ce,da9f8c61,19e02399,bd898b4c,b9987fb3,4262df35,9b32cca,430e7cd3,aea9d20f,530610aa)
+,S(29f06c46,a20b5387,aeb6e490,ef9a7bda,ce16fc2c,8e8eb202,b75973ea,8dc4f3c0,2220f678,daae0cd6,8514c091,a1dd7060,b21c2630,138b5e32,e0d57d79,b7b06d7c)
+,S(b18aa504,d9cda828,e67d4f55,ac51c961,e9603d0c,ff737c16,42f1c8b3,fe81aeb9,1f6d7e83,480a9290,789c016b,b62e6e8c,adb4b500,fac710a5,7969bff2,89578ba8)
+,S(e7591f42,e649f9f4,477c9cb,bc8559e1,f01eeec5,e9f3a0b4,8d9bf515,6d2044c,24c8777d,5e7c3f7b,2c6fe0e1,cd0e3845,45bef898,aff192ab,c4e719d8,ae466385)
+,S(65992fef,50a1983e,bca478b,419ae258,77ce7a52,339ecbe9,2394dba3,8ba72081,32491cbf,baa7f8a,9cf21a4e,57ffa85b,eaba7653,d46d9f95,b4e25212,7bf76781)
+,S(771b52ad,e47d035c,ddbb1012,bb89aa9e,b774e0bc,aded4998,86e1e358,ccabf9be,1a897dc8,420a076c,5a723f30,206db0bc,e9760b09,1f698952,1c4edc17,f2dcb202)
+,S(a7d5c532,bcaa8ed6,6846046f,d1570837,111281c0,795d3e50,16cd8108,5721d644,13ccc5ee,4bab0d34,2f740ae9,e538d50e,900aa30c,bfe99e54,c69cecc,f18f6aff)
+,S(fb504652,a55d01c8,b45ed7,6c71d,9067026b,27e9ceed,c38bf6fc,aee16d50,a150b6fa,f37b0c6e,ce4ebbef,22277b37,44933fd7,a135a25e,5ba8f7b6,1a6b7d0c)
+,S(6242a221,115863a3,73bea0fd,39974dea,3c33b794,68e04087,8ebd8bf3,ca09f1d,b806de29,fe9eddde,1556c09e,973fa20d,c4ff916a,3d22504e,19e33169,f6f903e2)
+,S(30382a2a,fefc7110,77af1a7a,d8a4a4bd,622635bb,73e50bab,c58116af,d1e8f3cd,d7ff3c80,9845a620,d53299ee,98cf3c6c,499ade93,84791af5,d6618866,3b6b74c7)
+,S(b69ab576,13d1527e,990d747a,bab1582c,af995b34,6b25ed1f,df3490c,5549f36c,cf896a0e,4878bc0b,ffa3a750,f83dd329,ade24fa3,76acdba6,dfdc294,768e3f41)
+,S(36f6c331,4071ed0d,b2be8f45,fe19be0f,9b37a675,a56679e8,bb49925,9339257c,d593ff7e,a32103e4,9cbf2995,21ad3da1,5b1b44f9,d6c95418,9c794291,b1e6769e)
+,S(fc312428,7a9ab1b8,3efce7f8,17f707ae,320dbe77,e5937cd1,513bbbbb,90ed9995,11bce5f0,91dd9ef8,42a46aee,6f3a1d,7cc23da7,381a5f24,4b5a2638,45b2bb0e)
+,S(b0de8720,58e1165f,ae1207ec,5ec0888,5f14bab9,35a2fe6b,1f7212f9,7b4913b4,5bab24ac,2589b8a8,c5e102,26a907ac,391289ed,23fba10,b2acdb74,a142b395)
+,S(699828ec,db84587e,31ad233d,c27ce5de,a8f4e03e,2c450706,d625e387,12c0af3d,db1d9e5b,9a74caf5,855aef9b,6b8d0c18,c98c27b8,ce0d8a67,c6bd8467,261f726b)
+,S(8d133509,d51edc48,97830f8b,3f8a6688,7a16834a,5ea31602,1649e219,cf899cac,9d188e67,2940f23a,39ac6ae4,fa532478,9c5df2d6,57f8b4e4,eca17e02,5560f08e)
+,S(9cd47f8c,a9d3ebaa,d94dab36,4412ac4,a74a4b18,bb516538,10da1df3,9efc7582,de1e5cb0,fd5e7a20,322636d1,883b1ce9,71bd0565,a0eb60fa,559b552b,34b42e1e)
+,S(1fef4107,648ca126,d5c4fe59,1f190f21,57274d0d,d9c57fdb,ffe2c348,35d36ddd,abf8fe20,87ca3feb,d8150e5e,c66c5d07,45731121,9b759430,4465bb14,55f992ab)
+,S(e372b12e,8d3fed92,9e01babb,1a6517c9,ecb54d3e,6d0524ec,42ce57f8,5351d32f,43e910a,32447627,e2d9d5ef,53cb9c0,ab60333c,b07e72d1,c2c6644c,83e7d8a2)
+,S(37c346cd,ae9d76e5,7ba2f30f,d05c33fa,3e6058af,642fb1c1,1810b4a0,b97e2dd5,9939c619,e1e49ec2,bf716714,1c23e135,157c7e4e,949e4fcc,b7dac7b9,7d4932d0)
+,S(14e337ac,39f0c1d,98333716,a6e596eb,ad0d0688,b815c7a0,c182b546,88e5c3bf,fe45e34e,bfb94cff,a72b6312,a422562c,8ba782e2,16d5ee31,6425651e,e67d3d22)
+,S(25517b3f,79da61ae,dd50cd1b,69b1ee36,fce0a44b,feb572e2,e6eb4aef,d751146d,7d2a017d,b9089d13,9a072803,dba874f0,f169ea36,95786e13,7fcd36d8,8b28a213)
+,S(7d5957a6,92fd532,b9991383,cae895f2,8554e6c7,83ae3bcf,e72e3678,3475cb46,fa4b9b07,2bc725f8,e35b01b9,590ec1d8,f205f6c1,3203e91d,d9d39954,922d7f65)
+,S(77eaf892,c4f9e0d,f63e33a5,1c088e0b,323ddff5,6f854475,b143b458,3e0e2f81,93d0f67d,51abf50,ea260593,96effe6,7f985caa,a9d68250,224e7193,414105f5)
+,S(812c11a8,2851f474,e5a0a175,fb527539,7f1c73e7,6a766cd8,7147c9c4,4c970ec4,f9e22a19,a35179de,30379c37,a616d226,666311d9,4ad62b6d,59fcc579,cd024af8)
+,S(b633f071,57c5a0a3,7ff5f626,17de24dc,14b3bcd8,4eb43385,e5a59be5,1c371fab,93e70e48,68ab5a3b,e29dab87,8a50e2c3,a09edb5,bf5b47d9,a09ccf59,53b67673)
+,S(5e78caf1,9a2031a2,d92e1ba2,1f43f91b,10a98672,5d23ef95,1bdc1f83,cbb16343,b438317e,9446b88e,92206d81,883d5f3f,6497ec33,d144cfc,3a7dba41,db53cbc1)
+,S(dd082ebf,88d49fed,50b76df,8e64d3a4,a1d4bbb4,fcdee50,c3ad6d0d,a91e4ec3,9efe99d2,f15d46bd,26d67bc5,ccc122ed,bf5034d9,28bcc946,e4714784,5edb6244)
+,S(1ba1e135,62c06b5,63db5c49,7ed46ee5,73399a56,15fbfb1,4e080815,874e6a2e,f298d5df,43111fb,2f050cfe,2a06b3,c9a1fa02,d409dbe8,a225a3e,bec2d8be)
+,S(49477847,a590a536,e7370341,5380459,843da9c1,78a1d176,f2f0133d,6ca214f3,3d1b8f64,a1d94169,2baeef3,86b4740c,4eaa84a9,15e4d03,2bd7bfd9,f5d5bad7)
+,S(c4336d6a,4fbc288a,2c69fcc9,691fc8e0,e277fb98,e34b7a66,bf29d2d4,32c1339d,64ca0adc,72f0ff2a,f150f01,ea243a51,e91da8e7,480e0553,c7bb268a,22fbd383)
+,S(a510cb67,9970c117,49e4e9d9,acdb97c6,d8712ca2,7961ca45,ddc9669d,9e02207,afa065b1,46b75ee2,ff7ada4f,ac7b863c,f4937cfd,15ca2ff9,c0901c7d,faac88b7)
+,S(7cd63347,59eec80b,666237b2,abdd6c6f,e5e24a60,9305165,b5bb1a04,2898cc7d,abf7dab,f9e12893,a8040b13,afe16524,1d749660,93cf2da,157e2a78,e89cc758)
+,S(e0786f8d,6f339bdc,9ff47416,4070bc08,c864d0d2,6d507762,19c2ee87,61cb7959,892cfd2e,62f4c352,b296a508,455a1dee,8dcec943,f5109add,9d38437e,87ec58c9)
+,S(d81f740b,123cfd5,9c5ceb73,47668148,995ca21c,a3ca1b8c,b48e20db,32f6b55d,3af34294,c83c41df,7d5f821c,68e71e34,4656be14,f09d1858,7a204244,6f74f4ff)
+,S(f4ba0503,6ffc1812,efbf3fe3,81423d91,38eca2,a67a0f4c,2d0474e6,5db9efc0,b2b3c3b4,4af46f2d,e53b1e8a,adb83d59,4c32b6ca,a7113207,b7993bef,dcdf78b)
+,S(aa6f03ed,50640e0d,72fa4de7,ec3964ab,82e7758f,5e6c16d7,78c18296,e3b1a527,322223f7,ecf473a8,36bcfd41,e50f871d,715f9729,93df1359,80794587,59d9767f)
+,S(f2d48f68,23984bd9,e8e87772,28da095,4ca134a0,6b43e0d1,1a8843d7,1fd0232,f0b7d9e5,982d0f6f,5ef74bc6,78ee504b,6202f52e,8db7c069,e179d175,c6f760e4)
+,S(70e9ec90,7db14601,9741a4d5,ba604187,a7313b7b,500864b5,383b3763,be303979,63f9ef9d,eea1d1bf,a84e0d19,c8f15665,60b4f1dc,839aef5d,b6fbef7e,d6dc6a4a)
+,S(23cfe5f9,7198efd3,f34f657d,158f092a,29748586,29983927,9c58944b,146cdf1f,3b8fdd8d,cd82a757,44152552,35de0cae,c39e20e5,f82c7b6a,2afde8f4,1c6afab6)
+,S(b1e2b9d6,4c14d667,4de9a6a7,5499cfb,12b30a92,b9bf7578,f8fdbb55,b6d414de,1e91c321,24341a58,e2c6d65f,18f3f735,f9f98d2d,76d124a2,c694db84,37cd0483)
+,S(5092db9e,5bde4edd,f385c67f,357e43a7,c8fc8e09,f5c07c14,25bb405b,7e52d1fb,cbad30f3,f96767f9,553c9be3,2adbae2e,1f27f9d5,3fbb2f99,a361056c,ddf52858)
+,S(59d39b90,2143ace3,3a1a1e54,a5cd83e9,6cf56f65,4a91f524,af8c8e19,e25496a5,be21c89c,baaffe09,4f2114be,72ff26a8,22db9a1b,818d96a2,bafa797a,3af056a5)
+,S(89cc95d8,cf45bab6,9b3f86f7,9e1fa71a,34fa83cd,3d4dfd16,1c9df1b5,817edc16,5eff0aef,63fc853a,f8b65e8,8a45740e,6c78aade,4bcfeca4,c7413ad6,714eef84)
+,S(6c2b8809,79398e60,87c756c,443fb032,f2adf5f0,17bf9ac6,44d164b7,d2aeed3f,bc46cb71,c9ed9f46,b34a22cc,e1332cbd,44318165,85407951,580e4b26,270f3eca)
+,S(767ca583,c950f7bb,e3aaa6db,b6aa9867,792e0b8a,6930ab97,5c46d09c,30e14a6e,bb90634f,87133104,1c7eeaa0,4a09887a,e5946daf,e88828a,68761cb6,21412d49)
+,S(cf742ea0,35c4d9a6,40fd0686,a460ab96,e2015d0,2c15fc8f,333ecb7b,8af4b08d,2bb94f28,bd69b51e,de993065,fd61fbad,c65fc62,90059a8b,d29948da,20b704e5)
+,S(84d5d76a,a5a6ec84,52f024ea,b365290d,9c3b6be8,f33a93ea,b0a0ac4e,e6271059,f5565742,f1a47a88,8d0bb802,b002ea6e,f5acea8,864e2f64,fbfb1565,dda51952)
+,S(8f5752a,8fbdc1a6,201b6e0b,7bd5db3,cda2eafe,f18cd6d,559724b9,56767d32,d63c0fad,de72b753,6d0c8606,88e0a82b,9f9e35d4,b1db7be7,efa9040b,82298008)
+,S(20578def,f94e3597,50ee95bc,61ca76db,f8fc059f,e25e42c5,bf887d49,665d1871,5fc52a36,c95c6edf,46bd5c38,60e151b3,9f123e9b,c58b2079,cd165c1d,e6f33d3c)
+,S(30f2b825,739fdf4c,5af0ca08,47f50323,d3ad6eb0,413b052e,525f837c,38f97a4e,d698b076,4417357c,a49b4306,7d73206f,d3d97036,26ab15d4,f11c56bf,4bc820ff)
+,S(2350eca0,b4d0c460,12024be,6d458444,b37b20cb,50042830,182b5e41,d564e26b,5909eee2,e3999d60,4cbe0832,58012001,30a344c5,f72ff127,35e66cdd,904623d7)
+,S(ea660cfc,45971e57,852d382a,ae8cc6b,1887fe68,dc1b84bf,31f4409,89f89b2d,52297e86,dfec0730,81a280f,9451623f,9e69c320,6f3c205a,f07e56a2,54cd5837)
+,S(9cded450,2a7da3bb,77e06ae3,ef398954,7687d21e,df522f3a,cb6b4fd9,d3d49beb,7b13f455,35a49049,277abc34,3cc6f0a,336242e8,7b69815a,e27122e1,d7838a8)
+,S(ac8705f2,cf8dcd77,d409a962,f98a6abf,198dd238,3a5eb258,6b0d2def,81daa172,892fa835,a0af6cf9,dd5bf158,44b22cf8,2af258c0,519955dc,ee4966c7,bd5e995c)
+,S(fa026b1b,d5e5fe3c,d6b144bc,6b22f7e7,5512ca6c,9525f62,fc7fb4ea,bcd2282c,4ec40de5,7ffc1768,edb20cae,d3a11380,fcc32f45,f410ad9b,8b674d95,6614aad0)
+,S(a928eb73,28285c79,5717dc0b,ccb5280f,92f9a4be,5a0b0ed7,67e58eaa,8b9097db,af57cb66,61a9d08f,4d4e9e25,aeeea2dd,e4c88767,c4e177b,37a87ba4,c2bb772e)
+,S(bfc9197f,80fded3,c601a0f,1c8c1d77,cbccaab,1c8357ee,4fb67875,cbbc8261,6a721e0,241ef436,69cd386b,d07fa2e8,900527eb,ec3c0025,24bb457e,1bc7aa28)
+,S(ae0de043,b332bb4f,91395870,4f3a41f,65e0f3d9,ff77c1d5,ec3add49,6087d5db,34d697f5,dbef1bdb,f581127d,bcd2755,a5a6b32d,73164665,ef84f6bc,145c2afd)
+,S(4433db73,29d75b3f,7df0e229,538b7a33,e41183ad,7a7a5e3e,ccf5863d,6bbb692c,3a66630,a03ab85,9f23ae3c,a0a38717,d82ac240,d271b3a6,ccde1407,d0dfdfa1)
+,S(bc7380bb,128a6f8a,5cdb971c,31ad12e2,ba593acf,718f5468,285b7f14,69ca2b90,a17af518,9a7b0445,cb37e797,a281c84f,8cf8ecaf,c661e601,4ecc2467,18f1d8e4)
+,S(bb53297b,18d2d785,a4756437,70b387d3,ab0fe62,8b78c09f,bb6cc226,79bc92ab,5c34b9b7,cfb3737,bb515ee8,fcff8592,1fe8f30c,e97d21b7,47a4b084,22b0c811)
+,S(1accc1c3,f46945d5,7b46b1fa,15291ae4,2f0a616f,df23f1c3,3f0dcf97,53851fb6,bb434ef5,e30fb9fc,15e99b15,b5f9d766,9681be30,d2b0a6f5,a4946268,158d5369)
+,S(2fd61a9a,b99c588d,fbe74fde,e8ce95cd,1c0ee9a6,da7ae59,910485bb,9a3ed9c6,2c214840,e2bd764f,74f9db81,43ddd549,3d322dd2,b25790a8,a681c97e,2fda07c3)
+,S(4bfd09f1,4cb492a5,7b9ef3ca,d245a0ab,c4bd97ef,12bf7204,8ecfee47,660f7161,57102f3a,ecc42742,657032bd,aa36526c,e67f2589,2775fdb7,e8b029d8,1cc7ec9c)
+,S(f60eb13a,8e6485ea,fe653e74,de1c1376,2df7ba0d,4ff0c65f,24bb1c0d,74cea3fe,c5830078,5b74cc82,80128896,f275fca4,9be94edc,744f8535,128ba7a0,5c1d9552)
+,S(2b4c7864,9f568eb1,ce1be63d,aaaba4e9,7c31349f,aa353371,6e9123f6,4c57b041,b5dc9c1a,b39325f9,3ead6f35,66c30479,5f817ca1,b3c37258,554c4fb2,51a0ca39)
+,S(7fb057e8,5f559f11,b5d41538,6a25a77a,aeb904c5,d1be33cc,bece20ad,57715ac4,2352db61,6fad3f10,a2decdef,5a7fc369,5c8462b3,7d2d5ae8,bde17311,ac6b4ad3)
+,S(a49bc870,bfd62cf1,1dd1bd23,9499157d,247ac61a,a9b34210,65d4d029,56f71a0a,b639709,88ffd1ae,ed1b62b1,83ba629e,f5f0c088,f8a9016,d7fa9157,46642e3b)
+,S(30b1f21,f8dd3f40,697878a9,fa0b9fbe,d51c1ddd,165bd5f,ed9d1fd6,49ae913f,d5a55164,4628de36,25895fa1,471e0f5,77326d14,132d8ffa,37e0277d,a928532)
+,S(8a015768,8aefcd7d,13cb3b98,373a8823,aad11a4e,718a6ea8,5fdb8a9a,6edfd879,e7d92909,4d198910,44c00be,69f267f3,84aca1db,642648d8,34a5b9fe,518e1363)
+,S(810ee87e,45d8a5ee,c0e3fd0a,cb771d2a,5a3116be,f4dd7d5f,bfac0dd9,fe072778,92abfc24,9500ba0a,9cfa1725,da4c37b6,cf081f5c,c6cb6a8a,3af889ab,ddd2b7f1)
+,S(a0eaaed7,687f6a94,398656fb,3fb15f49,6522c3dc,c19e04b4,598ac4a5,6408d1d9,792a67cd,677ae878,eae040e1,6378cc36,9583b513,bca68fa1,cca3cbdc,37aa61d5)
+,S(ca438737,ffa6f30d,9aa695fb,3d29db01,f805f480,ddf1b227,3a0515b9,5f8eba97,56238731,ff5314f4,af6a3835,b30ae83d,feaf0db,dd4449e0,5736efba,8a8cd51b)
+,S(b252f5e5,4b67554c,ba3d481d,66a2f223,a633b5e7,f335e357,29928264,e744279c,c6296730,5007e2c9,3fbdb25d,a33a9fa7,411218c2,87b937c5,dfcf8f45,472533a0)
+,S(f61b57a2,237befe8,2f1545cb,131acb03,3015a5ee,f0cb77d8,c73add0d,ec0083f7,9b1e0c93,b326a265,eabf096f,f8eedfd5,9f765b51,5007c5cc,d0d3b569,838f381)
+,S(30df434c,1051cc43,4ca35671,3957f964,af406830,38ce82a9,5cdf2c7b,55c50f7c,883bc89b,f54c490b,3be0d434,fffb6b,7e829be1,55280401,eaf44bee,7c445424)
+,S(fd0ab148,727eb712,adee1fe3,4e3d0fe4,99bf8307,fbe18e4e,d20d5236,f7ac25e7,f5f38f32,df094903,b3219b02,8413cfc0,e56b8ed5,6ad80e5b,aaa00f4e,3877377c)
+,S(b4a8fcf2,b406becb,6111c030,ae375f12,79de175,7f2f3b90,13e7ac55,12de747f,d1634039,59a6600a,fa05b1cc,3c459fa4,f1a5fd4c,27ee5382,c5f01e4d,a0259889)
+,S(a6c10f0b,33d1518c,8f8b7055,b139aa84,c96e9998,8e8a256c,5883bb44,10687c72,8f0dfa52,ccaec6c6,789941f3,cab90b55,4d4f587f,bb6f3354,b5f7158c,758e4f9b)
+,S(7188fb46,e244a5a2,6e38cf13,bf2e3c4a,ff5bdcdf,8d9f78ae,88213692,d866f5c9,8cb07d12,ec743540,3be09b19,4cfb2f1f,c4a85d27,d940cad1,15ab53ea,4b8e0d88)
+,S(fe4f9f00,308670fc,48e45208,4063fa94,a6cf7141,d75a6ef7,4f92b474,5bf692ea,5dc45ab4,77f80594,4355698b,e95bc582,efea563a,970217e5,2bd28ede,d7e8cbdd)
+,S(93f3b5df,43006183,47c7bc14,3eb046a3,842614ad,78d3cfc9,a6b665e,3327b7cd,ffe5f378,7ac36947,d635d156,7a28fa5d,45c0b5e1,70508cc2,7fd621b4,47b63b53)
+,S(dd350a89,e0c3128b,54a3955c,bf802ff7,3a565760,39e1e068,e783ad00,36c13604,45cdb508,3c33c35,fcdbb29a,efddcc63,c4cf3fe7,c08a15d,8b2cd4ae,dec2c3e9)
+,S(4f164801,17c1d338,7738b728,96442b9d,66f44eec,e3eeb7ff,ffa87d24,4226e44f,750e6348,490d0ecd,3be07303,5a8e653c,1b1f7c30,d89e27dd,4efedc9d,755b89ee)
+,S(b7c62749,aaf79754,de281314,acb4b2f0,271f2a35,fd187307,20349a3c,a4b577a3,f100956e,ddc307db,56542c1,d2c8f176,e0636ba,b04877cf,3dad451d,edcb0df4)
+,S(fa5c1278,1dd929a0,2ae4755c,70531cd6,c309261,36ef51ed,7d57c117,c1c8a885,57c5280a,5f08f0c9,393aab6f,eba0ae81,a32f8c6e,2a76c780,a871170a,e37856f4)
+,S(e16d6dee,7830b0d,e6cc5e4,9b1cfb7b,50b7d89,57fa4e6c,42ce9925,2e6a29b6,cd5955da,4c1ba840,a3c98d1,7dea8d8c,f4a3d2c0,1e0cf164,2cdc35ee,87fea835)
+,S(a2c659f0,a0ef6147,ba84ff26,ca81443c,ac8ba9be,f6fb32f9,50653384,a5db0213,5176a4b1,88b5bbef,3680e875,437e4209,d2fd2462,77c5f84,4a0eaf5,e9d8c129)
+,S(7d507179,6a7c037,77fcf84e,62e6eac5,456f88fe,76e71301,76fe458c,8f301a68,14018264,59d3f62,6788fba3,1505c83a,4161674,21dbc2a9,dc14e1a,f45a50a8)
+,S(642721c9,20d9b3e6,72db8d82,34ad60f4,bc74684f,11f2ef1a,8171d02e,b9eb1f12,fdde8b98,8aac7393,be2366b5,6e853c7,b72034fb,2cb176ee,770063dc,42b63d48)
+,S(65fc35bd,2f604eae,48a1b68e,1d66cac3,627b1498,247d8376,47082702,293c97d,d01018e4,85dba402,17ac631a,9b88d240,de32ac74,79c7d47a,9f5d9188,f8ac01d7)
+,S(65c8b230,2e51129a,b81de5f5,22217f06,f5d5360f,af191c56,8f395a33,2b04375a,3201b7ec,117fceb2,b225f137,877ef481,2be4d6b4,52d1c855,f73adb0f,e99b2943)
+,S(b82aa6a2,86fb19a,d2eeaac8,9019782b,d0d6009a,8fa07a02,a0d6295,ea8637f0,426f8d72,ec1b08d2,72671566,1f77f470,f334e4fd,3370d96f,b0acca8f,2df99398)
+,S(a3222e7a,c6c27f2,8b24b33d,ac78d873,1ce060dc,be055100,862e71dc,e6671a18,6f2c2a1c,4b80534f,8ea53777,71760fb6,5148d47e,ca097fd2,b7bb2f53,bb07ce22)
+,S(281ffed7,48a4022b,c663d08b,5681733d,f1343818,d68c8b63,9f4405db,ad7020e2,b5f18609,d8e5c6e7,990808ec,b4fa7d2d,7d4cd106,b7ad2c6a,e356f239,9a535eea)
+,S(c520ea8b,a481c220,bab0f218,72ccfcd5,d7014d8c,fe55d1ef,743af305,c0277d5e,e23eaf34,33e4369f,30d371d6,e396b0dc,a065506a,c4159967,fec4475c,8f6bf78b)
+,S(54d39ed1,114ec02d,8005d7a0,82178175,78f827c2,1b55a95f,330a7af9,34727958,4aecf190,229c49c9,31862a57,9131aeed,5518cda9,4695e8ac,7ebf7667,d9afb23e)
+,S(756b9bf0,1da8d7f6,1627cb2c,b3ce3ba,a9b6450,c2d24596,feae8bd1,2ef67a23,51c47b15,b2ac96c3,5d7b7dc2,d8c57ee9,69b347ff,dadb04e9,cbfd6889,a0ef70b7)
+,S(eef22145,6ff200f,ddced960,f422588e,333a437e,d68c04ca,9758d77e,a938ac54,21587cf5,8b8ffb72,6d29aed2,3c984a4f,25df40b0,abc9b7cf,2c07436,ab7e09e2)
+,S(b841b560,c0af44a,35bc9320,3c05cb32,250fcca3,f83dafe,30d1dbe6,61aa3d1,e7956525,3d07a89b,2335e2ce,9e11fb89,96e2c146,271189b3,461cf944,2ceee2d7)
+,S(14b98f62,5849b798,48f32547,efccc33c,3ead6cd1,a290f03e,618acc2c,1ce065e1,4e7a2415,805a4486,476221f1,ce8234e6,5b81ee60,e1ce5eb6,b6a2e041,ac885e00)
+,S(fb0aafb7,68c19f64,17e417b6,f1c22dfc,737bc74,fe8b23e7,4dc1c1c9,aad7ae44,88b83e23,631c58d,c3729cf5,54343721,e9ec7dc4,a889b85e,31cb302f,f2a6ab3b)
+,S(885497ab,e34d1745,a3e2ff8b,bdea904,eeacf100,324540c6,86de137a,9756468f,63f3f160,bd266c3a,7c49b13f,c5b06403,d0614b79,17c49824,bf507257,2ac0b948)
+,S(52dc7bd7,17e4d8e,8b634439,f6f06b8f,7121a0e0,cfebe7a8,3031668b,9832b8b3,90679373,9bbce1e3,5c48f41e,942d9f15,9161e9ab,273a2217,d9e857c4,3bdd0a5c)
+,S(e6ed2c69,a8bd7af3,35591f4e,4dfba7ac,d82e87ee,e2b3bd28,f0f87f02,3abaa7c0,dfec6118,7396bd5,e32ba2e7,a8fc912f,1e54e078,6f2ee222,35adcd22,8feca28)
+,S(9e2171a2,c1025129,1757e26f,ba979e5d,6b68c2b4,975c7289,2afe7898,cafc46eb,3dd062bd,210bfc4d,d30cf01c,51d810b5,cf1b8ee3,d3baf490,6bf5d381,b87c9a56)
+,S(ef4b8648,3bf209f3,b1c2e166,a32cda39,44b21282,db8acb94,6ef62122,63bc44cb,903d1088,ccc0ba47,b5ac3252,33ef9b55,924e61ba,7ca80bd8,1925b269,3998920b)
+,S(64ec6d14,7ecb6e44,6331907b,b9006b2b,fa4fb854,20ab9aba,f1026bc3,4ccdc4b5,583cad3,b41bbfec,d0817207,dd312cdc,26c0411,b888ce5c,c6ee025,baafac63)
+,S(128cb9de,125429dd,e5b9b33c,ef9f34a3,e7b38ba,f22dbcdf,8e169894,3f7ae5a9,a10a01dd,33f5a4eb,66091348,c4dbd90d,62879ff6,7559229a,e53c2896,8fb4584b)
+,S(a7d2e7db,ca0890ee,e07c4bbb,399a0120,e71fc284,c5b7c96b,4889fbb6,db95dbbe,b8caef70,404a19dc,15670cae,b19d5b74,e70b7492,50390b12,5f559b11,feda83de)
+,S(298b17c0,b8beadff,5e6eafb8,ad7d756,8e961468,d8e12c94,78ff3870,dc722450,a0542f35,c7b95774,b1c10f75,3e9da029,ec7a54a6,97bcd9fb,46c98d26,91ac1a43)
+,S(31a39bcd,a3d10e9f,6b46e1e,c30b41aa,557ba664,9b12db64,a13557d7,5c592d1d,814f1a6,15382d4,e57b8d41,351fd782,ce7dd9d7,86aa9bbb,c5b1ca7c,207ab12a)
+,S(3317f1a8,1afa54f6,ffa6df13,bd3f818d,e9a29bed,7c119b6d,fa31560d,31d81cfd,aa8eb746,4e9acaea,19a42509,a23a281c,e9917788,6d3de977,4398c57,8867e095)
+,S(85511857,80eab56a,274cad22,966ca547,3027d3c,3cdd7e25,7d8ed8cd,a5c6ef30,b13de0f4,45d71bd7,db0327eb,15438e9e,84fefc1a,464d8a2b,bcb8c6b9,f59f93dd)
+,S(fdbffe5,7e378262,c32bc4b1,e84ae01e,a2d6dd76,28e10b04,9adf6a3e,ef106e83,f19d0c4f,1411ba50,35d3ef23,153f306f,d40b22c6,69e92ea9,22bd7d5f,83a98ad)
+,S(7562779e,6aae0c51,52acc7ee,43bed76c,831ba008,82d89c9c,e29a5f3b,8855b3c8,c83c1662,7cb9e1d9,126e07b3,354b82a8,a0cd49eb,3936c14a,8d8d64ed,2a4e217e)
+,S(130b292c,10d5b336,4635d43a,fb6d6e02,d5acec2,c2033525,ed72c030,e82a4a08,d534b710,e1201276,6f6fce50,ed6efec7,3e0c3e75,50e0bf36,d5d625b5,4855fed5)
+,S(19fecb77,bcfc0db3,e595fe22,e96f1212,b3ed032d,183be5e0,ed4c1b8b,d0501bb3,6b0fafde,2f0636e7,2b4ea946,a0e5c27e,4e5dfb5f,e8b8a1d1,b36bdee5,75d02e81)
+,S(ffc668c7,9c6f9fd2,f5c56104,aac1286f,cd4a390d,ca586af2,c348458f,b4130f77,fd7b748,d15f10b6,4eaf4946,34fb4ddc,439919a1,1155e40f,24f3eb2f,482445f4)
+,S(b9797c7b,d4112aa4,8abbc827,fae12fd9,6d19f3c7,81626e21,5c26ddcd,b2d4552,ddb0aa81,3113288f,1fd2505b,d23f2a9b,a1ba0a38,dcbbfbcb,46da78bc,5c705327)
+,S(9388c9f6,5bda9c81,62ec04ec,5345ff80,da4afe34,7281f768,4d8daa1c,cc3d7869,23ef5140,3f926d0a,d2ebbe6e,48858850,aa98149c,89490e99,65dafeb3,c82644fb)
+,S(44cf864,6c2d2f30,e62f63fd,8e145786,80c1d5b8,a27fd496,a8e34bab,5f88270,9784e329,a434b442,fef9af66,b23ea917,edc0f6ca,8d28a992,bf6944ff,26c5cd25)
+,S(ebe08589,930001bd,ecb83ca4,45c4a9fb,fd61b229,60ba9848,2e0fd520,1af5a0a9,ce2d31fe,3c271048,24ed891a,910e2cd2,2b99b39b,480ad812,a5d6860f,71ec817d)
+,S(176d14f2,5491c2f1,c1d4fc87,a8f59aef,f560bbd9,41872f6f,2a1a6adc,7620f1d7,42c1e0f3,8a3379b0,c5de8a01,11b846b4,35db7783,caa9b84,8084a985,f0e123a4)
+,S(74e96d3a,972baa6f,8ad6876c,9494f451,a12adecb,681c4d55,57eb58a6,de920fc0,c2cd92a9,994ad5,f4700561,e8b57201,96e61a5e,b4cb4a55,66959bf1,35a07f83)
+,S(6751dff8,5079fa45,7f5df468,624c4a85,db970586,889cd80f,d4514bbe,8de42d60,7cc20505,deeb3f91,3d78a265,cb301c68,49cd5a53,dc029af5,c0db1876,762ba3b0)
+,S(f9c63056,24d8cffd,abce64ac,65dd3a09,ebd344a5,5404d08f,b4140a4d,8489628d,49ad5449,bf1b6def,74283afd,2f315f77,3de82cda,d4c9de21,7995a2ff,c44e934e)
+,S(69e8c4f7,3f757235,d0e4f39a,f2595cde,f7ff4d20,dd2d45c9,78f32d19,921b6672,8ffc35fd,8a6d541b,3f7135f5,643efb00,14f275ba,d929671,df610748,6f763f55)
+,S(3d03e571,ed2aa88a,3309f014,caddfd64,26ae84a2,a526fe35,f30ceb8a,4e645e22,db95c744,6bf115d9,4af9074a,6b274725,adbcbfa6,77f9ce48,535003ad,dd37bc6a)
+,S(e5b764c3,dc73619e,51a2afa,fb2292ad,db2b7b0d,e12b46b7,f14b66ce,f8aea7bc,41fbe1bf,41838b6e,9a57fcbc,b3e2e3c8,60170122,29a5ffe1,7394139f,5e8edf2c)
+,S(adabcca6,b4252849,76596462,36b17b0f,9d1b4e9d,279af84a,c02f556c,e0f4c385,7d12959,9b411665,dd23b676,57229f84,ae46773a,e13284ab,1cb608d2,ccedafd5)
+,S(963094f7,7ea2a7d0,3115e201,45dc6f6a,7318f8b9,a55ab015,8096db54,48e341e7,36bb26ce,3852ba30,dcb1a8ee,ec834f4d,d5342ab9,f7bbe85d,7addce07,62cb22aa)
+,S(30ca6324,b4f34e1a,4c3dbe4f,d6dc6b13,a8ebcb35,2f632fc1,5725bff5,f260c508,5c04aa15,8dae7205,3bb608db,1b9245cf,fc57c10f,d015e80f,7afc7532,632eaaea)
+,S(8356d1c4,55479df3,adbca347,fdb73f89,6027471b,e528da9a,d9e6a968,8dfba744,c325c86c,cd603953,8f610b03,21b6147a,371314cd,2c41df91,745e579d,8564a177)
+,S(996ca7b0,4ae2dde7,b5ee87d8,c077bf97,9a63ce83,cfb84349,c7d231b3,1e15bfd7,cd1d1b48,d75f9736,68b91101,8ade913c,19a1d785,65adcf71,6c805863,fa6c1f17)
+,S(8a15dbd3,5cc16f77,b22a87b4,4f93e5e5,810f0503,56e47d53,95769128,a2047738,cf96df1,9ecb6da4,3895641e,4fbd4f27,f00f58ce,cd34d38d,e258fa78,410a1f7f)
+,S(23c1e11c,be9f6a93,6c5f8abb,6cc501a1,ca38b03e,f00b31a,79057156,f382ad7c,1d996782,9f709951,2c9728ac,68c16db,1889bcbb,7df432b7,f430ebe6,56b1e050)
+,S(d937ad87,70737b1f,d52bfb7f,86e207f1,9e4bed5a,43b165fc,981685e6,24b8e84c,202913d6,1eb467fc,b488fffe,5914f853,73aaac20,1acde09,ef975cc8,a05fd181)
+,S(6457f59b,2c744ca7,89537c59,6485abe9,7835368b,47de3667,4740ecff,72e5596d,30b6ffac,65e34e88,43681e64,f041870b,c85b3b5c,86c032b1,e290848d,ad2f7a5f)
+,S(7101d56d,813abe1f,c50aa99a,bc7b2363,9532d79d,facc17c9,f2a5b4ff,50edf82e,62a0b9d2,bcab5b18,9075f6f0,e648a4f6,fa66741c,389a4196,a4c5ead7,cbef14d8)
+,S(2dd4cb3e,5cb59cbe,b961af3f,d1154fbf,c21916f1,d5331ce4,c8a32ad6,8f7ad818,397dde68,7b1f6b5d,38e457ae,2f5fb332,74917949,801151e5,3d4fe19,9a34289a)
+,S(509c6fcc,ae22b09d,b8f3d191,434e584c,9d17dc76,c268560f,2290d81d,53ed66dc,cbf69e20,c3f9ada3,41e32dfc,581f0ba,f015413d,735d33a6,260e0cfa,7a4e4d05)
+,S(71babe5a,9458bf5e,112b23a5,3f87007b,66ddd721,32a45a34,2a9c521a,c2029aae,55ac872,a0275be6,4f569901,d84dca32,ea13e2c6,cbe608ac,de228185,34e031a3)
+,S(f5f2144a,46fe975f,82b91da3,a98ebcb,6d5769a3,4e5fc50f,3ca640fa,152fa7fd,2fc05c22,2b20b895,5503f23e,627558b0,e023988d,f02993f8,f495750d,db6344fe)
+,S(d6f274fa,fdfcf64,25972a56,640e53b8,15c4d213,8e4a72a0,b8ab3394,2955e416,738e267b,2fe0d9,5774afdc,7c4f559b,7bfe2824,ea6b7a49,d3220eb0,460ca733)
+,S(81a12fcf,cc6acf7b,89f30fc,8f61e2cd,7882f664,55923993,2b8d3f9b,1d6e11e7,a8dbc6c1,cdca67b0,64b285c4,e2f69242,cf55f06c,5eb28868,d9bab656,eaf9116a)
+,S(57019cc4,941f6f5,9ed34305,92f35a83,39a495ee,fb3e311a,fcef9001,cb8123be,a3d632f2,54083f5d,6f2857b6,9556205f,59578908,9d8d8fd2,4d10bf1a,e6d2e635)
+,S(4205a71f,504362cd,576c4d84,c8b65252,3d4227fb,d6aa28a7,e7fc3d70,d1387c80,781bfe55,7fecdfff,c54d1c1f,e147792c,5ea7a1dd,7224954e,e110cc6e,18ab452b)
+,S(1c42ad3d,f90472e9,e5c041da,52476ea0,896a2032,ccff22a8,fd7bbab1,4c3961f3,a5072a70,be702dae,f9f93148,4bdfaa00,1e2f2ad6,7d79f46b,5717147,17c5499c)
+,S(6c9225cb,668ecf25,1f7862ad,999516c0,145faa37,b4fe92eb,561104f8,f1dc2997,8c12c1a1,e372baa1,4e9b1443,d3530548,d7d1d05b,fa354c7,f47ecab3,23993a31)
+,S(72a0fd2d,eced2a05,6885dc81,fb61e881,b09104f3,8650a872,44e40471,ed189992,d9c67490,43bb493d,9aea4a1b,3a50da8a,e1c48523,9a480442,32406d2a,68487e6e)
+,S(b1d531af,8faa24b5,69945ec8,1448915b,a46fd13a,f7fecb8e,16cd5d03,52c6c2ab,b3ba6cf4,bd36bee,66deba09,35bb85e0,b9ff7e62,5b5c793b,543a091b,dc83292b)
+,S(da79daea,d6ea65e1,4e8747b8,b4546560,a9e5a99e,eb572f17,f2ebcf3f,9a307a86,f5b3c430,e0f2d4aa,2f278088,2d683c48,d84f926f,6feea88b,10e06930,6567a290)
+,S(1fe7fb5c,99a69a75,a2276ca8,92f67da4,951bbb4f,ee4df8b4,a54c9833,d0d33869,e2b2b4c6,fe0f63f,d97fa179,331e9bb,55786006,f0425e98,71452aa8,361f177a)
+,S(fcdb7de9,4eacf36a,9d662371,edd2b535,af33de37,1985ff49,6ce5293b,9d2ac00a,e332723c,7a9708e8,5172e56a,c4291760,baa17e83,72c98dbe,83a186de,77c2aa06)
+,S(daeaa6cb,19bdb4b7,78077495,a9cead03,3be16d2,97e742c6,97ac18ed,e5b514c6,4545ca53,bde3c1ff,6bf32604,ef037da,93134215,7057ab10,cf6af451,e7753f4c)
+,S(83e4b4c9,1a923321,196fffb9,b45d089e,7fa1f6b0,5ff45a6f,d099f7ec,fe283088,926c28cc,bf405fb1,17c5f168,20216226,4c89cda2,cf669937,2739ea05,279325d5)
+,S(cd7f2b53,8363914b,2e83f1e1,c9bced9,32a682fa,cd72b46a,eda578c0,640089bc,ddf6dc27,a5281d3,b4d66af6,8fc80f5b,16cbb7b6,ebfff06c,6902d38d,4632ed2e)
+,S(6f3f5a27,b19dbfc0,238bccc8,a9adcf95,adef6480,fd4ca405,454509b2,97a40928,36a56db2,abf62faa,b2255d86,d8a46aec,361fd2a8,65740c31,babb2e2,c551a85e)
+,S(f7aa5c92,a523b86b,c27cf714,51f7dcec,fa18ef3a,9e839c41,a8b20c4e,30ba3b77,fa7d3ce9,8009f23d,f5eae927,acf1b28d,5ce4a2f8,8a92da7d,fcc1acb1,3c8cadc5)
+,S(4adaaf95,5bfa6a94,b518f7f5,b0ebbdca,493798f6,72293e4b,36d5fdfd,5f641b89,ce675ffa,cff579c0,61e63c2f,36e77f3d,5c2571b3,aa99d3c2,74086b22,a862577c)
+,S(2d737aac,3600371c,f6b638e8,8a29884c,978b783,cb843922,bd449e95,814db692,205d944f,13b21441,76d8276d,74da68e5,142aac9f,ba632568,79753c01,e54cf4f)
+,S(7cb5d365,10ef241d,ac378fc,ebad8738,e8f2e6ad,6d838731,e5c82bb9,169d51d4,33b088df,5a572e8e,1010886a,d01b68f1,9f345770,81a465ba,8c5c784f,225f6510)
+,S(9872a376,e530e254,8b623b6,b9dbd6d4,d123f2f7,30579f47,4d910831,7c714c0c,3de01ddb,3145d81e,6ac002ec,70086f74,6eb2bdee,6295f5fd,9d2cf8b6,1b222e58)
+,S(8242fc8b,2e848618,ba0f26c2,6acac090,8eb21b4f,41a08b76,beb35f85,3b8c2f33,58b94d44,3379ea4f,829fc809,ce2632cd,78d8675e,45a29c58,e29fda43,785f2e9)
+,S(88800a95,cf1682df,4e5bcde3,a96de21c,3353751c,5300dfa0,d0f802d6,7b60eeeb,2a35b86a,4e213e9e,c53dfe04,d91afb48,25bc8794,a1574ac4,53e81ff,4b6e453f)
+,S(3c8e2755,9611937c,b7e2b2cf,8a87fa5a,e5c696df,fc6703b7,e1e65ac9,111ad87c,c54d129a,be0c774d,dd415707,bfabafdb,daedd1bb,2ea9cff3,bcfae0e4,55c916e)
+,S(281af73e,a1f092c5,535557f9,3b5a8c94,54165f8,76650801,856bf926,19f06cb8,deaa8495,30951f12,ea157714,3caab5fd,d30f0dce,ac9b80bc,fcdb3477,dc01ea1c)
+,S(6b353e5,3202f63c,69bce96,30535f11,1939fa,849dedb,92ad21c4,89f5174d,bd961eed,c16f285f,2eccfa69,d37a6d63,be5fad00,4858c80e,6fc4dfb4,2717acc4)
+,S(68c184f1,a06685de,fd20f36c,82b5446,7446d5d9,8fc9c312,4852bb02,f35ed91d,486a3d16,7d94c66a,31f9e134,1652f658,76d49379,f3e3429f,e9f2da30,84f56532)
+,S(5e884531,fa011576,3d36e1ad,74b22e23,f765db14,8b8e965c,80f7c9bb,7d561bf0,34c4f03,b137b627,3fbdb6e4,8ac09ef9,bc3c8ccc,e720853c,61ae58da,ee3a0cca)
+,S(10c13f0f,313e5ad8,ea61ba5f,ed509aef,5ddd3016,c3339eec,ffc8f9d8,6f131118,28f6ad5b,324e44ae,64ee65c1,b86710a2,91a8e71,c33adbcf,a84f18fb,144dd67c)
+,S(aa99d8b3,1031d4e9,8c078a68,7254968a,9141c710,cd8e4842,5a384bf8,414f5c5f,ee6eccfc,1dbdd5a,c9080cc1,ffedbc6e,64fcf847,ab9c0ce,fa91c4fe,d1de44bb)
+,S(f087945d,a464e66c,4c73b58c,5034f057,b96ebe34,f5128397,cfadd7be,22ac6100,c5485411,d78fb395,3f229109,45aac354,1a2b2acd,1d95c38a,f51f36dc,d3cd92b2)
+,S(2e4d8752,ac21c22f,e4d465e,3d2f5ad8,d9168080,b2b44930,e5de75a0,d9bf91ad,92f394c5,963c0817,500d5a98,2eccdeac,aa55043e,27a9a035,1a6ce245,a8d048bc)
+,S(68b59755,44feb608,15a6ae70,9c2647b1,5c7fe073,aa6af8e6,202b9782,83daffac,b3745e92,fd86bfef,ab9d3d26,cdaf57c1,2a329889,cf646b6f,d6cf869a,f727e0c)
+,S(15f5f668,e9576897,a287f131,bcbe1216,84f7a108,3c28c09a,afa77074,63dba49b,133e33fe,9bf06bb0,3b814938,7a099da4,77a3e758,82fb19a4,463ab360,bfbc368f)
+,S(f2bf3cc8,ea752c11,db2ff594,d3f9b085,1dc9dff5,7999aa39,b5af2a29,30d50491,6e01a801,c5b7e4a0,a16af1ff,b011bc12,cb0483dc,6127fe52,c992b07a,9fd77635)
+,S(1b04817f,46dae06c,120f8088,b3cd09e,267d4ed2,db14881b,bc32b5d6,345dc54e,31634e28,56f61b80,56a414e3,94a34ced,200bb172,e9a9aa07,6a224329,61f55ecb)
+,S(693f066a,bca2046,ffb860f6,5e769ca2,3d1f46a3,6c09273d,afe5eb89,d2da45c5,719dd749,5c1b1938,a92af84d,eef309e6,ff1978b7,9adadb96,c58caf2b,625fff9)
+,S(3fb25a02,bb232d18,c798f688,b16193ae,cb2eb9f5,e124c999,225f0720,63417008,90db4fbe,fdbf8a26,ff9b4afd,355e3771,c7c95891,68e2abea,264aba44,ad74707c)
+,S(4c878f4e,6ebfed8e,e12a0a6d,17298b70,79d9de5c,6a7b5359,5ddefe4c,db82a79c,837592e6,927938cf,dc82252b,2cbfd9f6,cbff1950,405b4511,f2c21fdf,a3f72715)
+,S(5ccaf6f4,2b75e152,49263cb9,5fdb34a8,770e8828,98a1a0cf,5407c48b,b9ad4ba0,70851419,379e5e2f,dca9613a,a9f92fd3,8ad8904e,e0ce0048,b2510943,ba8ee24)
+,S(455907ae,713d1ec9,3792d488,7d9857bf,a02bc2ce,abd2c599,cf576f09,f7d09d11,1fc9ee5b,90a039f8,eb3200e2,ee58022,3f0cc699,60221d67,86f0deba,f13ca6b9)
+,S(6f7acd2b,3683482f,c2c2d55b,eb62a89a,37578a34,417bcabf,ba7c56b7,bec14f0b,6049db59,b6210e55,b06401d6,17247d91,64e84e2c,b8de91a4,d4998c15,6f46d621)
+,S(100f00d4,eee4ccf5,ea2558bf,92bec83b,223fa214,ad692ae3,b0a2ac93,c546d558,fe055fdc,1ae02552,1557db5b,96a62c92,556f918c,ca908708,46ffa1bc,8192b65e)
+,S(8650c359,664c9f15,935dd776,bc6fbcc8,d9cb02d4,c22428e2,aee3e3cc,6e9d0c6f,89dba800,919866cc,8c16895f,785fc9cf,2661f78a,9e065472,652b71ce,d5ec8732)
+,S(22b6df12,b3932756,713e2ee8,2d296c64,5d10364e,cca1ff94,9b477fa4,9a2ce5ac,ac58a22f,42769cf1,e2e23308,b3b5f139,4d329323,4bbd6053,4817ab5c,624e995b)
+,S(ce87a23a,1554ae1b,9579ae96,863128cb,926a0cce,e51f17db,75155607,754b5992,4bb953b8,9d590216,e326f23e,66768c0d,17626262,6fecf80f,97435b50,d5dbd503)
+,S(e3ae6365,29e3fe6b,cd1c89da,d72b17d4,8bf05c1b,c487ad41,d3b97838,a2cbc19c,4634e222,316b6ee6,c7616cfd,cddaee07,7fb2cd0d,26dd9f81,9d0ba43,313b3f4a)
+,S(2825cc59,3a0678fb,e0d37d42,df72037b,6be96e98,18c52c49,fd426d75,324bd620,ea0079c9,2ef91a7c,dc587343,7b454763,f2fd4adf,561cd023,8379c8cb,1d281f6e)
+,S(a6b2a170,fb23ae2f,943408ef,60fcb145,106735c,8876238,5d0fdd9b,75a2c46,1ab40091,e000012,60837529,58e3134,5f260890,d1bf6930,ddccedb1,dce20255)
+,S(99a36f38,759f0a70,d719e3d5,b741a40f,daef1ad2,bcc65293,3992f134,39ff339f,a36d4b07,a7258053,61430332,6be79a,61ce8eb6,97944c6d,8bbf433b,a565bb66)
+,S(e511e0a,de5a9be1,1b8513e,a5706258,6de09e2b,e2df739f,d647fd33,7890d36e,c6cc03ed,e9e50830,bd5579c5,9d6db693,dfa5c057,b1c214da,e4064804,9cd7ed70)
+,S(bc9de66d,a406288c,a8a94e96,5ca16dfd,379608c2,63222a24,e3fc1116,20a82125,ac471a7e,579cfeaa,fdfdb5ff,9cccd4e,dca4202b,1b0149ab,ba9f6c09,aa219626)
+,S(e98cd505,bd593bc1,496b1203,436f6038,ebe3fa4f,361ce4a6,54315402,a74c3a4c,1350c197,1c7979ca,7464c4d2,39b24a55,a1e50812,aaf92479,d566fffc,9135d977)
+,S(47c0c788,2490ca53,37cc668c,5a549bde,dac661cc,f77534ed,d11f7ddc,9e0f37ac,ece10949,be122263,26819032,a2d952c3,60b27e2,7e527673,e8fcef08,a8f27685)
+,S(e8224d65,35ea98a5,e3fd8833,7bd167cc,776f89ee,7d0ccfdc,46a15fed,93bee5e3,44b260e0,e0b1e1e9,383041cb,1dd985e7,22edb214,ae58f784,f174ba84,ef51c59e)
+,S(c195ee35,5880dd77,67e01659,ecaf07b4,571e324b,b8a1a4fb,75265af2,3ea74709,95c39cef,f781f53f,31bde05b,d0289313,4e478b2d,1c55e741,aef8035a,2ecd4226)
+,S(60d989b9,c9cccc66,139bbfed,e2902a95,fb9ca9a8,6c2e863f,21eceb4a,7d73c4bb,8295928a,a48ec1fb,775ea29d,9da1ceab,47e82f3f,1e6ef7fb,c7505e26,92bb51d8)
+,S(a33b33f6,9db29609,8cfd34,caefd3e8,c3c0d863,ab695b06,b47d102e,f827fe62,669d9d96,842ee809,2cc31cfe,baab0f1f,4007c3e9,e7e41be3,7a08d221,1c6bc905)
+,S(bd25afea,d9b8c833,fe332a2a,a9f3b627,d8328152,8fe1422c,5da90163,4b971584,35bb66e7,35326f67,63f4f38a,c18f8412,26da97da,c9e66902,f28904eb,b49cd78)
+,S(4d7e208a,4264b565,d8563cd7,80773012,581e8688,a62921f2,d6a334c3,25625279,6729dd4f,b45ecd25,2c5cb033,dcb2f520,dc928ca5,71026fdd,b42943e8,b5da9988)
+,S(5dd46f97,fc740db3,ec56348d,ed73fbbb,c440e3f3,33c64a3,a37b7a73,7f0e987d,7e2d9ee6,9e1c07a4,b764cac,aef3d780,e2d43288,2863f76e,35ff4cc6,832ede1a)
+,S(4631992d,d72c02d2,2073222a,d35917f9,2770198b,ad13a847,8d3c9ca0,6ac91a3f,e28ce87b,35a69d5,c43b685a,e59d5f9d,ccf187bb,62517a92,90992b39,86d9e1eb)
+,S(9153ad32,32177422,e03b6739,d5654209,7fe04d22,28b1e873,f02e990f,8936d1e3,8eb9f3c6,b54726b0,b4e867e0,5ab2fbca,e76d2e20,ce07983d,6edbd5fe,ebd0cc8d)
+,S(939a7349,28fd798b,5036e2e9,60360387,b9c080a8,982d4530,78415667,848c2eff,30d2a2d9,5890d023,7d117cde,2eb3c532,e419770a,8783a7dc,dfe40674,709776f1)
+,S(8e67bb29,9f11e01,b50be7fc,bee1f73a,5b335f5e,5ece8619,9a514156,dc243f3f,7fd0cb92,d6f9cd8f,bee9d337,90a4492,b8a7fa02,a0914c48,1f8becf5,d9a9d7da)
+,S(a2cab3c2,537d8fec,b2f891a8,1da2f523,de4f869d,3c812806,855013c,73485ab2,765d058,c681af53,36ccbc8e,88d2391,b4894b18,15441342,4c4e73ac,1a8e0d71)
+,S(9b39be40,976c13c2,faad320b,9338f985,b0718123,d2fb543,b65473a5,3bc2fce0,10f8234d,455fa7df,d09d76ee,41035515,9b560db,7b92988e,a42f9e9c,f7baabeb)
+,S(35011530,6f2975be,73e7685,6456c94d,700e9b1c,4685639e,4f60efd6,9e513692,5992efac,9dcc0a58,ac6e00e3,54e44582,7e2d66c7,248e4b86,f8c216fe,a9e44270)
+,S(df5a5b75,d96ddb93,9a341f58,7e1f997,3cb9e799,b04ccdfb,9907b57a,7b005d1f,3fd070b9,8d759043,8a53c302,b7ac0dbf,594094ad,7101d500,1cd5d687,e80066f0)
+,S(91f14eda,a0db8441,10fa531e,eac54762,d52ca420,bb872327,6b383587,d40fa761,86cbd213,358d1f70,c3f6ac7e,913daf0a,47a80f8c,bd72445d,fcbef37,d0d71e69)
+,S(53ddba06,46853311,9fe95719,15a9efe0,bc7fcf80,59d638e0,be6c1aa4,c5f21ffb,e59de2f6,5e583ab,5ac86c77,fc298301,70a18b68,a1979074,c21c0d8e,4a562567)
+,S(56599462,4ad07c16,607afcd,76e86218,b15b50b6,9df84695,e60a15f0,3d7bcc49,c6d36636,ef58556f,9b688db0,eecb6bd4,5a7b30e,a9748732,68be57d8,542c966a)
+,S(76fd5413,fdee9cb9,7f92fefa,5efa27e9,9aab744,e1e15029,241e35bc,743307a3,bb23f425,9aeb64e3,8ae82c3,b4691bf9,3b4a719e,a8ce076b,d0345a2f,d02a6d05)
+,S(511ff159,2127502d,7499b988,7a3b3bd6,1242518,58bb62e3,dc1638be,89204a0e,21da5ba4,34b7819e,53b51e46,29f5fb77,e739ae5,97af55fa,aa09500a,dbd502f6)
+,S(8e948cec,51635ab9,5a057404,39ff17c5,ae2e05e4,523bf2a2,3df28fd9,86de6b15,e16aa2ac,6c3d34b,9535b795,29a82b67,34bfa260,4a74ebe8,86110d73,ba564375)
+,S(ebda8670,9277fecf,9b8507d9,40da6c74,210c8c7e,ddcff0d6,e3b52ded,3bf57095,3ca95e8e,112c8137,fe8c5088,bf041674,fb657260,70625890,1fdc5626,7655d654)
+,S(eb5ffc4f,559f7ad,2469f48,1c730925,1ebf3863,357dbe72,41a29205,5b667682,b1f72d74,a5a16ef1,d55804ce,76974f46,61a49210,8a1a36f8,a59484da,a9bcbb96)
+,S(2a93ae8a,d15c82ed,19fd2161,4a7a65a4,cf562432,623bf7f8,6c765548,b02fb57,5a949ca6,60a1430,9d4baa6,9be69b34,848e9874,62471d74,54c4817b,336584e0)
+,S(9ac4a3e9,f1c8d115,138bd299,b6fb9132,c5d64a92,1fd94adc,82eb4ae,fa64704e,47f0eecf,a9eea827,ff339f3,48e67e8f,da9f00e1,a6b9086b,6f5441c3,7ae1d335)
+,S(add254af,39d99d6d,355510d7,4f8985ad,3d8ec1e0,1e8d0210,27e80049,f555d65f,5b147a1,fc4bdeae,6c2f1224,b35e9e61,ad0799db,53597ef2,a23a8f3a,344dc526)
+,S(d374d326,52cd006e,3b27b8d0,3ab47d44,bfb1c5d4,48adc992,5f63235b,c34aa128,3cc6ee09,c04d4cb0,aae8b1e6,6018640e,d0964fb7,148181ab,e9fd0374,642ad9a3)
+,S(fa7632b4,78e5389d,cbf380d,8efbf6b1,d4bef9a1,70aa3517,e4c2005a,71a283f,ef2bcbb0,4b20be5,d4bda0f4,26dd0baa,31037d2b,7b530e2c,24105c3d,c817ce89)
+,S(68ea197e,76af6950,1633ff9e,c825a817,80c7405d,ba513f96,6106632f,ea73ede5,633a5f90,587d4ea1,72129820,2ccefb30,c14a052a,6c0ca723,65e2f91d,53b3ff4)
+,S(8874397e,1813f0c7,6946a84f,b05a0f44,224bb110,8aee722e,736e807b,b045b73a,ced2e2ec,85ae00e0,2952f55d,3626b613,641d2a8e,84b4c9ae,36177bb6,9ef80d9e)
+,S(2ffe42bd,89256069,2e460701,b94208d4,85915043,8a85f71f,32246b8,5dea7594,6e7e4050,a35f1570,f8cc40c0,862e9cb5,59e744bd,8788646e,b0dad904,8b2777d8)
+,S(c6d3a6f8,c997cfe,779a9a30,79de4bae,c19c226a,21f166d2,71ab4da2,cbc6defe,a8f8a618,3f6c8b2b,1486e60c,337725c9,9a9adc07,7dbb6581,e5b0119e,ca10f418)
+,S(9b51cd75,442203ca,c4b8aba6,e9829b73,abe29f96,92b8dee8,500e1a90,9ea9767f,ed0ee32d,6042b6dc,dc818dbb,8cb00619,6bfeb2d7,88f35626,789cabb6,5d159c51)
+,S(952c518f,775c8bc4,dbd7629c,8dcf8807,1b208033,8aee2ffa,eabad5d0,be6eaa1d,8a3b10a3,d9343d39,e7bef8c1,193f5cbd,717efa3b,cd2491f0,2dc1aa17,2e5b629b)
+,S(49a18372,63eb11af,77a2e33d,2743393a,7eb269aa,f64589fc,8f81507e,55e8ee4d,7feb4a59,64b781b9,640d60f9,4e7eb291,6025d190,95945aab,7ac7771b,6f96cff8)
+,S(cf974d8f,46aceb5e,a8c04e55,703b5a43,ac577e84,cb174abd,88198e1c,12708c9d,c50cf6d2,afd79d3,ce275e91,26bdaf0c,f46c1eb,536d0753,9dcf6c2d,d79afc35)
+,S(461a831e,8beb6da0,df92dcdf,2697d551,cbf8f903,138d13f2,ec9b7fa,4a7d4763,e5fd85fa,c251705c,27d4e870,64af33b2,ff99b19,14496d96,6fa18916,faf40e01)
+,S(eef4eb8a,9eba3f2e,b27e3aca,6cce7335,49f2656a,c26f1921,60c05bb8,fc3f1165,58f74526,a812ddc3,713217f6,fa4be02b,7062d042,2dbf5625,abd1f422,58b54c36)
+,S(d674ace8,a7e8ae,d4bd4b7f,235b9f4c,41ef4355,4d9e6e44,3b6a26a2,d16f798f,8a25a7f7,896c0dd9,b1639f99,5c4b3df1,a3536104,b7d59348,c2c56c0b,bb21c609)
+,S(a8eb465a,8a2869cd,6419af81,b3ad1355,1508727c,2b2494a4,93b5ffe6,2c1375,f1a27219,f59f29c,bb93bdc0,6157618a,454075ab,b95184e6,a4601ef4,eb2c8a1f)
+,S(ccbd9d,6253fae3,f7d2527b,17854e21,58581e95,11a1f11b,55e3e04e,7326e6db,51ddefc2,5d9083ce,e9999e91,cde32f70,344ec937,d6aa5272,3dd62496,c4b0485b)
+,S(524bc1e1,5c75e8f0,6718d2c6,da0f6599,c8b5d83,7cb9b48d,615e8e46,49dc6659,f6c91d14,72a50c31,1bb202b2,3d76f224,b55af957,c7bf3c19,69d175a1,d36ed19)
+,S(520e667b,a0604a23,dde663ea,1a29971e,7e753301,9b2217af,296b02f9,de1df35d,9c2a2c52,290b6927,ac566ea8,4caa31ef,cb19b65f,29b4833f,5f4eae8c,f12b38bc)
+,S(156282cc,65317dc1,3323aae2,d5d83e8,b7113d59,a50e54d8,dc54c1a1,ffc85d23,840cca23,67da3c5a,15b6427,72f0cd7e,675bb8b7,fb5dd58e,8cda9fcf,cb21606c)
+,S(15afddb0,5adcc8d8,f1322a7d,f451fee9,873d4b8b,78b0c1e8,1d99f002,84aca6a,15465563,a129272c,b5e25bc3,ac76c52e,b4e115b7,b216a40c,145c4699,175cec9b)
+,S(9eec4fea,e9508445,4bd275e3,f8d0d6d2,9040ae95,c8268f55,918d5f3f,2f75865,b7a873a7,5fb4ef70,3d62a723,81df2ded,102726ac,81685725,424a7733,8307ed7d)
+,S(3aa7be96,660652c4,de1c82f5,cce1a864,c37725ba,848180bd,52e4dead,1a33f60c,f323d266,3e5d14dd,18fbab76,271f6c8f,32d7de0a,42724fde,f6ed3582,c886c402)
+,S(bae9e070,a8e5a976,8347368,c32b4287,c7a6a20c,b491bebe,fc6acc71,aeeecea7,b5791703,f98ae848,1a9c66ab,878f7c27,d37a3e0,133b4e36,82ccb2af,b518e8ef)
+,S(7b12ed88,be061d1f,7dab874b,17602bb0,ef5ccefa,54f9ff40,e753312c,335f5f86,70930f8,c465292b,b02ded5,59a235e6,c4c83480,9eb94442,8440846c,377498d6)
+,S(9eb22b3c,8faad620,ba002990,4a5d8d1e,8cb4a054,179e3310,73f4ae8c,def4e1f7,6d58b972,ee88dfd9,4e429a2,4f6961a7,d085f00e,8d6f8d14,ff2066e7,df68bc34)
+,S(bb2aa6cc,d8402cb8,e7a9a6f,a755c66,366c659e,bd2e5c85,7fa486e8,aa86b857,443e7128,674c040c,b0316d9b,3908bcd3,298e727c,c805bc8e,ca58894a,d51f4130)
+,S(c58704a9,fc3bb18b,c460c4e1,f17a880e,c0dce45b,e2caf759,72f55061,d59d30d9,75216472,aee1c9c,280aef07,7208fe42,136b495c,f80d8a79,e8309272,c6c4d6a7)
+,S(b7d7c721,70af0b6a,489c41a6,e817da2b,ce59f30c,88a82b11,83a6af8b,174c70eb,59481a78,52f3726,3a02ef48,dfb366ce,7bf170b0,af3c2000,2c1053e6,5dae1ef8)
+,S(b1386833,25f5450b,f4f68dc9,93d72fa1,1e636a3e,8b881ac2,f237cc44,42f3461,64d18f1b,87f9463,10627931,cb003c09,981c4a94,969a0df1,7f717830,4daa6cd6)
+,S(7e27af99,500cb8d4,d812a82d,29ca369,5e543231,8432c9f5,96f5b76d,c6d1bd8c,25a477c5,a275daad,10973822,40961da7,5385a367,6dff887c,42bd904d,8e885997)
+,S(62e04f6f,d953c744,aeca984c,bad13c91,f4e09c1a,d5441603,2bfbc277,5ebbfdc1,4f1f609,db0befd5,fe781afa,d21efe44,846f9f78,9ed9f99d,f3291eec,3cf3fc89)
+,S(b08a1f84,a3cbc3fa,f952247e,6d8d8d9b,1ba3ab01,ba03ef8e,836b94ec,dfe2e2c4,5027889d,e524fd0b,e6ada02f,4f33d1a3,4d0c3822,f0ca6651,ecebaa37,3c54692b)
+,S(d417933b,c7a8f68a,9e023d64,498b5117,850f8885,b6254256,f9a12a47,538d5bd6,7ad14679,21349d14,10e35750,167282ee,9a6f6044,b6c9d71a,633f4475,5b432ed7)
+,S(575909cb,46a36dc1,c270267a,10a62f31,941fb7bf,3699aa43,1a3bc770,fa37d5de,c12ef954,c937d6a7,bda47e2e,67d9ebb4,9434cda,e1571ec9,f604c41e,b49d6189)
+,S(5298ad25,cc5a6bf4,d88b693a,d32a61fd,efd763f0,e4008ca0,eee17730,4365de57,75f821d1,66b60185,41cf7653,9a0cc41,597b8b78,10fd1fed,f0da4542,3a26d5f1)
+,S(5aab0fa4,b0beb77,d5d2a8fc,c95d516f,1dfdc402,3e3d36b1,4ecb206e,ee8c5ff,7a4659c7,7c062356,c51ee28d,fd0cea92,a1f36d5a,b78a3ae,8b48ac9c,7fc63fca)
+,S(482fc791,7c739041,41b69e59,62b0b815,8a9bfa00,f203afa6,46973980,9b250a23,89b117bd,485ac6ef,4de8eae0,a9e96edd,a3615285,e33282b7,bf0b6a6d,e11a9c8c)
+,S(a576ceef,40728a7b,b63756f7,f3095c75,ff2ef84,c7933d02,b9dd8a0b,a6046653,b4c707dd,9d880fd6,d7a1ea13,87dcb6a8,e2433e21,8ef3a7f5,e348d2b3,f9a9796a)
+,S(3c9d7c33,f8c62b35,fe977359,f290dbd,c2b46fb0,a2fe126c,d06e0422,54d1527f,cf92e34,3ce9f624,84c04c9f,d97569d6,67065598,9418d858,aa7368d5,bd6a2df1)
+,S(56bdd1e7,363c52b8,2198cbe8,62ed6d7c,7b96d184,7da44036,2401368e,b2c83b89,505d385b,747c9545,6669809a,a9da035c,364e7971,7cd89417,3d1d5d58,298a1869)
+,S(99e0696d,ed30d242,bff69e9f,ff4ec88d,eaa3de35,34dc7f35,c2bb7df5,9f8b440e,2cd1fc77,3bd071b4,c9695f25,458be688,f662f7ee,ae8f313d,9c373172,6185acc)
+,S(7d5cb46c,81f4a4ec,f1e5d913,1772277e,d17de7ca,7a4b277a,d6b135e4,dbe61916,cc854503,d73e8034,7a6ad7e7,f5bab321,b130d7d,3d938423,9e0656d9,74971849)
+,S(45cb6ec8,9dda9aed,5242347c,a20377bf,c93ebbd,50e48ea8,159530f4,4f4a250a,411a2ade,aaaf43e7,240bb0f7,cde77d8f,846bc700,4721f6c7,4d313fbe,70ae38c2)
+,S(a7e23331,bf08ecce,2dda8c2e,a6c3c4ce,9bbbe3a4,4d40068c,e39e94fc,edea42e1,d1f12d24,144bb258,dcda7060,5348c1d,85faf076,fdd3611b,ecf6c34e,843788e6)
+,S(d81aa0fc,b0a8fafe,d4c67dcd,6fddd414,80cd5548,cbd6aa58,35e5896b,18797f12,92af7ad3,89320814,bbe53ab,4cb5bd26,3df11ad1,8d2ef235,ae9ba163,74495d8a)
+,S(8d379fd1,fc0acf5b,c96d03e,b73b340,5a7326ec,82882235,918a380b,c3e2669,f8c6063a,eefc0e2c,ef94d8d,ac4e5b5,ccccdf25,663d993f,7f9a0172,6756564e)
+,S(5e20f600,6f533af1,8f3b6e65,17aaa2a1,2876b79,c99ca059,c2791a1f,1e466e8d,b23fb129,57640a9d,d38bf206,7649216f,50b913b8,69d241c2,baedd5e9,dafac9d3)
+,S(1a0a4f54,80d37257,c62d1b0c,18dda7ce,f2b64754,be9a3d77,b3d80ca9,215026df,2f76696f,f4001927,9ceb5652,44d4a60a,9e353266,42bc2138,1191a51d,7661ca1)
+,S(be868184,dc2e91fa,b11833b6,f78577f7,8c190220,a2b46551,53cc8ea0,73a217e7,6ffa3f78,1c64c118,68abc331,beb8c284,2919d593,12bad699,53edd222,2b98a31e)
+,S(a4650db1,917b10d9,1fffa809,d9f9cdaf,f07faeb3,8f0ecda6,9c80e0e0,fd27592a,d5a6fdf5,647e26c4,1d7b9c78,7880c76a,b0cbc23f,d4c1840b,78717b34,2ade1422)
+,S(944b1701,4a7c7eaa,754c9e03,d56516d9,e21e254e,9a871683,7a14f19a,9ebaa517,ee198337,3822c796,3ae7df88,24687dda,eea01e83,c82e66fd,baa746ac,485a6dae)
+,S(f9e76020,cb9087d3,a60ba7ef,7ed5e552,3e5a3645,f61f9ee7,27d630b7,98d37ede,28371db3,433bcf49,f6d77711,d7ed9101,f5e478de,49c58103,b021457b,7a0b526f)
+,S(7ac0c7bc,e17509a3,e4dc004b,d18c322e,600aeb83,8fe2045f,6da348ec,6f178b41,8b5cbafc,33469334,4886f60d,ee7626e5,36e9a977,60c0dd18,7bab7e45,6b264956)
+,S(1d7ef98c,c8520f5,2310ad12,107351f1,966b651b,4b2a39a1,7a47f658,857e3bde,2b78bf4b,7be6f1ec,61cb235,a26e252c,71d91f58,69752719,8125712,55d47664)
+,S(fc57f5ea,b40add8,f00c2da6,c7d24540,1b24b6b1,f102836b,4041009e,2fc6d5f0,11d3e017,bbc33913,b7861dff,bc11bca5,5aea26dd,f956d21d,2f333755,ef823af1)
+,S(340c47cd,3b473c01,80526815,64e77f7,6ec29eb4,b6603985,d6ef7b64,29e2f289,994d98c9,c1de0dad,d27f3386,eeb7da40,6144e060,ef4db403,ee8a76cb,8e21bf89)
+,S(81b13929,f08e9a23,69127ba,3e6e839b,8e9cd05,b19a9bf5,2292148a,26bc47f9,b6c33861,ae8fe20c,7a6c7830,4dd03fc1,a281ea57,59661e74,7f9e904,e4261226)
+,S(6f325fba,15a463ba,4a61e2e6,82655af2,72603643,8a48075,f76c9882,4d7e252a,1f205971,70f9f48d,5421b73e,97bb6260,cd2235e4,6f611e9e,99b7f8ae,cf435d45)
+,S(4b388e91,fadb26f9,b23b015b,398c8666,91521b8b,484d4510,b3c162d5,834bc109,ade8365,9d59c363,3191c3b,20e395cd,13ddabe7,1933045b,cfd8e941,f2096d25)
+,S(2d1c0ab2,83c80dfb,ead3e083,76024910,c1d97acd,6c8be069,252bfd94,ac1a0db6,c4856c74,e5ef2e6a,17ebc35e,3b310f6f,8e7b043b,abfff733,aa3ed9f8,5a391c98)
+,S(4c77a1b5,b88ffcce,1f98fd89,251c0085,9d4197f7,d45bee5d,edfded14,a97e5b87,48b8135c,b067c292,6c316424,2392fb06,f698b6d6,e98b2ffb,bcdb028f,4d85e5bb)
+,S(d39cd5fb,11cabce0,e31f6fac,10cce3c1,c0bdbcc7,294119e0,2b433b0c,20e3a4ee,487695cc,8a8ec5fa,aafdfe25,3aa7d635,8d44e82f,77328e8e,4541f7bd,f629bb5d)
+,S(238a05a5,519ff4e6,29b0f86f,9d259eee,4e620685,a2f0509a,cc9fb1eb,4e89f5f,6772f6b7,816018af,ec95717d,a6be2d05,3d740ec1,80241798,117ed39f,91f3beb1)
+,S(c146bf13,72816407,b5f8532d,91210d59,a8a6db2e,54fcfd3b,fe910365,99f7ed14,e952ca9a,f88779c7,eea67194,3df6fad9,72b717a2,19d1eca6,33106f97,2dfdf0b3)
+,S(4cd9154,861edfa7,c29378aa,1a7d6d0,83b134a7,572383ef,3010f34e,19d40bea,9ad99f1c,b5841c57,5f7db959,362542fc,40b0cbec,58d16ce1,54c5944b,6ff2aabb)
+,S(d35f2995,2478be06,e86b342b,fd2d2cc5,ede30ee8,509da11,504bbffd,5884765d,a0f66db4,a21462ee,e51e226e,2d20d896,2c4edb1c,babc45b2,645968a9,c7810fb4)
+,S(caf9c953,ef1f57e6,905bfec0,2fd64fca,92ded9a1,9435ad1c,a672cb7b,117c6fa,23b01776,7662984f,9c2f9e43,756ed3a1,3a574960,558db4ec,8670122f,472d0ccd)
+,S(4bd40ba0,21d2beec,ec7317ac,df3b719c,179ec012,1274a198,d0ebd9d5,165bbfaf,9a5751dc,d7885a78,20d8ccfd,1db3e3d,aaa2bd65,b7b6fb2a,2d7b2902,c629d81f)
+,S(560928ae,7b15a63,62eb4444,d4c0e069,1ae43323,77a2de40,83f056b2,70259814,ae97006e,fa5986b6,5da4ddbc,2bcea172,f12945d9,b6f5184,4027085d,bf644794)
+,S(7870209,38e53dac,8e250835,9e41e313,25b09faf,95b03a8d,c25e83ae,f8255301,49fd164a,915e0af1,a66af8ff,d215d1d3,92e4996e,5ef68f8f,51a4b895,145bbd90)
+,S(7aa3742a,6c82c90a,7e6c1b04,a41e4643,47925d,66f4e7c9,ab2aff17,e64932fb,7317dd5c,f2cb9b3d,5cc0fd6a,c433d1be,d1dc8345,b26e10b9,a2b8cbff,ce2db0c6)
+,S(7a400535,be3b134d,4572e0bf,75c13098,dccc0f04,1c10068d,31e2b0b9,149c2e08,c00fd102,309626e5,a2f97ef4,e0374a3e,de0a7ed2,e45aede1,40521086,5d10466e)
+,S(f4d71adb,438460c7,9003e150,c4143557,ffe30efa,eed122f,dd97c572,e1dbbbb7,e73588e0,fbae054c,140c0474,348b7ce2,92a1976f,e8c940e3,62c29ea4,31bb719a)
+,S(34b68d32,810bd1ae,51d0c82e,ef99752e,8206aa04,8c5c30,7c3e9a25,b2d68b94,4d044a,6781875,6aeb8982,61bff840,a3ab951f,bf60cd03,e8befb25,97203c7e)
+,S(f83b78af,f18f22b1,f2081707,3dbb9c79,4f180b0d,8871a1af,94d16d29,5c71f1c2,93ea5b8,c7847ea0,2cd5b783,5021d37c,dbbd395e,fe6eff8d,866e333e,9d6083e)
+,S(a4a0d5aa,f521e1bc,2e818063,f4575f1c,99bd2447,80eaf848,2737b297,b2deaffb,3906373f,2111a47b,102b0294,f9fe1a4a,7ea9a9e9,aa2d9595,68ff8419,9f1abd97)
+,S(cc211da7,28671182,1f0bca25,b9703fdd,ac9d0277,7e1829b4,4d9921d7,998011ff,c0cc46fd,5519211f,3a4cfa43,d84e5b3,bfb316de,39a5f4,9a50b1b1,8dcef321)
+,S(8a07ed5b,e0397b5a,8c33ef,108df270,4b385c45,c8296593,1ed3e391,17b2f531,432023e3,8fc1a637,fb5a92f5,9911932d,f5cd23f7,eb16ef68,c8c573fc,86e8c1a9)
+,S(8add7841,86b68399,b08a0bf2,a92a3987,36fca803,3807b564,f97af438,ac70d49b,758cdffc,ef477c3a,fb3028a3,2866d860,c65aa2ef,7b3d6261,9664ace3,658add34)
+,S(ec6b9f2a,a1cdedaf,306b8a5a,b021e430,e9931126,a1c505d4,a10e71ec,3cc60453,8139b262,40e2c1ca,8ec89808,2a37d7a9,b78a7e5f,6330ed32,f9786cb3,c4ddb722)
+,S(22ce2541,dd8a47ae,227dfec0,95ac361b,88ae2cd2,c9547344,f551f6bb,cada196a,68ce4f4,a677a0f9,60aaf4a4,f8e83a24,ebfbf46c,6ce2a470,255d2ede,c4431581)
+,S(ee7dd0d0,3e5b6d8c,ae78caaf,27b902fe,4136201c,12a49551,bf208c0b,f88bd33b,aff0eef0,609bbf68,7ce2aef,9f48f87e,67aedd82,e5342159,3809cf5c,da4ac004)
+,S(f7f9a352,ca18b2f4,3aa18c00,9ae0eb31,17679db8,d9fd7e5a,41b77e85,b54140cd,afd30383,ccd2a6f7,ae76b953,5bc80330,4419d38e,73e12d1e,dc407ef2,f3b50326)
+,S(7793ef5f,8e57e872,ea9fbb18,bd710ab9,6ea4f646,134d3308,930cbf62,e73f0e1c,8d5b3b79,3573090f,a4a7e7e5,c38fd987,e889bc3e,720e05b2,43e856f6,32ae7cc5)
+,S(db743211,ba814bf,e6371ddf,d03ba554,b558548a,a90e81b8,e1421321,656065a8,8236f24d,965a9003,84b382e8,d772d7e9,2dee2ce6,c3cb3388,3ea627d5,4a5170c4)
+,S(48c22865,6e51199f,6306a6f1,7dac1e6a,13f82d42,61de0f0a,9158ba98,715d3cf9,19a2a4dc,35d2bd03,5bc5daa2,5526598a,8eac11c3,52e5fe70,be726531,747035ef)
+,S(70a28bf4,ce75b491,582b48d5,9a5069b,9dcc1e49,c41702d,ee5d688e,6e643a59,7183750e,2995f655,1b58d5e7,21a5f33b,69045934,27f27f34,f8ebf62e,74e49de2)
+,S(a90d8505,596b3d01,a5e8dad0,fe652cb2,4a008a7a,61ba3cc6,8401a7a5,5c2e3132,f98af047,6e925c87,e13bb7db,f992b81b,1be564b6,8589cf2d,b79e4800,3ff7b0d9)
+,S(88647576,8e960c09,6aec9832,448decac,6574491c,df737dca,dcc42b84,d7e775bb,ad94bcbb,7309f483,19077724,2582f5cf,a39ead6,a4050afd,89a49ecd,7a9090bd)
+,S(c505d2cc,ef72aef5,8130f472,2ab3b2c2,3a6864ab,bcfffd5a,725a6df3,fae02112,dcb82329,cc51dc7a,54e7104,462997c,3d135d6d,5c82463f,45e875f5,8738652c)
+,S(24a1d4be,c709cf8c,8b8927a8,8bcfb11,43b0d579,10e0900d,68fbb682,d4e14df9,9ccab057,8440f6a2,edaa4f41,28f427de,adce5584,692b79d,624e8724,572a043f)
+,S(48c44581,51df1654,fa78370a,6975e59e,576eeb40,e94f636e,72aeb37e,8fbdc4bb,f48e8dfa,bb085834,43a7b495,ced76171,348e92b0,41b9620d,3cd5a84a,d9ee4eb4)
+,S(42a7838,d33d0b15,b4409534,18024a33,e93ccad,946b50cc,a543ea1f,1bb457da,dc2f0e6,4f30e973,cdf6289d,d8f6455d,51c2da02,bc4e1d13,6668250c,e4dd791f)
+,S(80988f4f,c2dfcb86,f1f65196,d93a6cfd,5c664e1b,5f8875d2,61e7c4f7,b2ea31e4,1e695c33,b526d582,6210e694,49c4673a,8697e1d4,a197c9bc,a3ecafda,2a7d5b93)
+,S(a0ae003c,65d7f1c7,b65cf828,124701b3,876d0be,587c2589,9a618c4e,7b79d480,d7f4ec52,bccd57a,9515e80f,2c79be42,a6b53ca6,253ee13d,ca33c917,ff2ddf02)
+,S(392f57a0,ebe08b06,cb4946ff,3c1df6c7,c5cdd97,b9cb2190,dbd4678,cdbab3bb,1be9f9db,dfca7981,b3dbbb1f,daf50e6b,c5662fa8,1b8a58f9,9953eebc,d1d0be1c)
+,S(cd904f6a,3d8c4ebf,6ebc4e5a,e536c544,4a04e278,389d771f,d5e7566a,fc592d3d,e3e10f61,a15399c5,f3f29626,af323cd4,3d6572fa,bad4f02d,cf76c0f4,9785919f)
+,S(27a4480c,df5782bf,52ddb140,ea5a908b,38dc1ec6,a570580d,2b72b922,e7eb05d9,bd96ddd8,1a6aca1f,88847632,5a6d48c8,4d61e76e,b4d0d957,15d39f80,faa42f3f)
+,S(6673ae66,3511292f,fa4dd8cd,bc0f7b36,613c56d2,775602ff,a8cf9302,4329f5a5,d8b4ffd8,8ca2530b,18d85762,529d056,e8048cdc,51730082,2d24cf42,e4053141)
+,S(3dbae13,5c395043,d5b88161,4dde355d,5a669076,98c36b23,ac4c24bf,80e34f2a,b7d46059,3154fad7,eaa37c3a,291c6c67,16df2944,4274b044,a9f12ac0,a34139db)
+,S(f2db4c09,1c3c606c,9784f6af,7dbfb26c,2b18bae3,b22f13bf,4188d761,6cbc1371,8c84e295,f57a9722,260d5816,c5d57719,c6fe2a12,3ba20a48,189bee04,ac252f32)
+,S(918e415d,92e768e9,f5a875a8,aafa7dd6,66109cd5,8fb6044d,d2c8640b,f6b966a7,b53400ce,9ee9f6c6,9cc35b5a,3e04eec3,dc89c931,e545068e,ed4a818e,42073e71)
+,S(5eda3e22,bbb8c368,82d46c19,2068b3e9,a65624ae,31feba8b,df725d5e,47bc3437,1cc2c541,ce3ad8fb,ac3cfabd,a492c03,87099e1,659cbf88,bc8f27aa,f9a2fe26)
+,S(7df83e06,9cf09a92,5405e0d4,3cf0c7bf,52a8e603,d286e26f,f273e218,b455e61c,9eba2975,7f61b054,29c9e915,a092a591,ac1d6044,8a63a8f1,313f4018,1650f4bd)
+,S(b778c25,d78b0bc4,68dcdc80,5de93809,1c3c36c5,b5f9569,a9394b5d,c7afb162,901a4ecf,b4821145,c7d9e56b,75e43ab9,cb7ef8fb,1d384a4e,27033e9f,90b80fc)
+,S(dd4965e,f6fb759,104f7877,307e2a6a,f837ab6,8c19aa40,6fbea75e,e8a7adc3,45e92312,b5c77585,3c4b95ca,6b4c1740,a70b57c9,97124883,2c53d291,4b0fd4d8)
+,S(ac971379,7dffd8d8,2e33f927,48ca063f,f1c8ccf2,5b88fb6,bf80946f,1dc9dede,6ce10e3b,ee4db87d,40e8de66,fb5263db,2a578d6d,be100fef,d6e28bd6,7377bc26)
+,S(6046fab5,37fb413b,29797312,5a6049b5,5c085194,4b058264,c39926ed,fe85c6,dcdf9ed1,cbe469ca,2976333,5a159e42,af6f0d32,664ffb5e,173986d3,a277180d)
+,S(a0d94b05,8e3b4d30,7f3b3f09,ba5ba28,d0285a3a,22cd577a,1d949b8,bd23f1ae,37fcdfb2,e3027e07,ea77f28,447ea13,93971c67,974304b5,dbb7621,2ad2db10)
+,S(da15b971,1b974ef9,14433ca5,71175233,693cab3a,dfd5f6e8,cf034254,6f73dcd,e08c7f62,90f87fc5,4e2f4ec5,a5a93d19,f4484868,3b5ae9d3,810b0615,c7e79402)
+,S(b26ba5d2,72a744f5,562cd745,a3f3f143,32980458,60be4e97,d737fbb9,b3b0d544,3d308307,9830f281,14de6c5a,f3876446,507558e2,95353dcb,738deabd,80c0ff20)
+,S(fa26c55b,bac04fff,ccee0610,ba9b60a2,4042aa08,7a564ffa,b891e087,7a2185f5,5b5a62eb,1ff579b9,ee4c5d6e,ceeb57ec,e9881b47,dbfc24f4,3b9a18d1,4addf4ab)
+,S(5ada4a59,4802163d,4da685d9,b7479f,4b70b489,5ddac7a3,b06a1c4e,a5f46dbe,2ec25e70,871b4958,81f6b0e5,cf821b91,febe83db,a52fe2f8,1a2e4e82,165c7e3f)
+,S(a57751d8,895282ac,bef2384b,db4817a3,539899b1,e7fe7a62,2596ad18,5dcf878f,651eee9c,12ecaf92,9eccf109,635680a,a7499537,f2054e2f,69b0f062,c820784)
+,S(3f17f0f2,6a540098,d18f8d88,ad323e9e,e300b029,b7b8101f,6aac6ece,8d375f3c,9c0713,79e35319,7f1e76d,55616e5f,8e573a54,b6bfa56e,5dacd2aa,e2e0deeb)
+,S(eabdf476,d2e9d76d,775388c,da759930,4e1ebd59,b3a7e491,e3c9c62a,4d0968ba,f4bfd5b5,e0e8ab41,a04c4cd7,763b243f,b82f56ae,9f08a6ef,bc365f3d,fa227c4a)
+,S(c5b76ae8,dabb664d,fc1fd499,36399e3f,c2b7366e,a21cba10,dc7eec7c,5c93e0d3,ef30249,19bc03a,c24c8544,9467728a,c160edc5,7c901e64,b947f298,9bb1242)
+,S(7161dbf8,6b1080bd,bd6aa47e,dcdf8a77,17b7e281,c692e9d8,739caf9a,f3f23d6,3c30b786,b095288a,4522749a,3d32a35,5a8bc694,cc9cf7ea,989675e9,a1688e8c)
+,S(ed6a7b49,9b74e62e,53183b15,6867d41,3ce902a8,4b71fdc4,fa414f8f,249c2ce,793d0356,1bca65c6,be127ce5,a1034b9,86285fe1,f52075e8,1a9b5bcf,87348c4f)
+,S(fe6e1abc,3ee3be4e,22456f4c,bf93810f,282f0fec,96ab5cc8,2b35b08,54492bad,96c76282,3adc2cea,1563c02b,fdb25b55,eb15e769,90a7ed7a,3fb8aabe,47bb077c)
+,S(979e7ab1,96e66818,b67bf79,31232826,713648bb,ad956add,ed594cdf,8aec2937,696a9505,e3c473a7,2df68f96,13c2e494,406782a4,f92a8fd6,5017a83e,d7912491)
+,S(9f947cb3,f859f2af,11a63400,800c18de,b8813c1a,b396ebd6,a1d5bf4a,9689160a,8efeced6,7f1e6fdc,191ac965,5002a02c,386a20b3,eb2aa1be,7fc12008,b8bead1)
+,S(71790030,58caecb5,dcd2e281,b42eb59e,57de1e6e,b77f6bad,7d2d1897,6a512eb4,abff54d0,e20347bb,c10a79c4,127f5f7d,868176a7,4e34077a,8ede1d54,7e339483)
+,S(d786ec15,c140af46,841b7eb7,de5fc9a3,c0636885,3950bab9,ffdbad01,d836b8b0,fc90191b,63616a44,72efb2ac,a7d84da3,4892af1e,25bca0e2,d41268c8,d381d062)
+,S(2d553f03,31eb83ca,edf2508e,67054734,d929367b,ffdd5b7c,dd78dc6a,2e724534,9abcef4e,ee588e28,fa1dee0a,b8c426c1,67d37cde,f8aae9e4,248c036b,baa1af70)
+,S(326b36b,eab4d932,c40182f0,fde043ff,d6b84b16,72fe1dc7,3bc7e518,6ef68062,9d86868e,2e871ce5,c3488624,bec901d1,47b91bf9,a3154cab,6445870e,d51e8f1d)
+,S(f7a6a26f,4e3583bb,9552556a,5d248735,7ea4af7d,ad1f7a92,717d19ab,34dfa11,7ace27e1,dab2dea9,704c01ce,50ea3de,529d864d,9a5fc11f,fbc0e8c7,81778b2b)
+,S(8ca708ea,c072334,42eae4e9,eb0c7b45,83e153ba,84ed7a0d,3ece41f9,4df6cd15,33f41d25,e446c47b,68ce1bc7,d1dd1740,fc701538,3ac90e05,1dc89a9f,dc97592b)
+,S(4fca2ed9,e1948697,208a87f9,a890cc96,4aa9e5e5,7c7274b1,deea92bb,586875da,98a9303,4df7185a,df9f557b,b7def9a6,41e7ad5,a3f24051,435673ff,12f0580)
+,S(466da0aa,97c68c05,21b8fda0,fc70d74,bb586eb3,da7eab4b,6c104404,d9234d37,5834296,f94f5b54,beddc0e,3d7f6004,659952b7,90a6341a,de99ff26,5530e5e6)
+,S(ae22ae10,d016b54c,c0b5423b,3f4c332e,3180ff23,c279078b,864e8e07,77e26a5e,ee21d64b,d6043d56,de3346dc,f93e2c40,b9a51498,b4d7df61,d476d339,7a2d0c8d)
+,S(58cd60cc,ea7e0896,2f65a353,5d45ad06,517fea5,575c5511,277103d9,fabb5167,175a68a9,850b4026,bc7b5684,e859c808,edb5f3,7acebc47,9ba489d5,5aa9774b)
+,S(4be8a0cf,7ce26101,49cd90a8,68f4049c,43054aa5,68bfb2a1,a5bfa386,9b2b485,a3bab0f3,e3bec469,f779404b,d025ca14,79e3f6ca,9d496f8f,8ce4aa6f,b7e3b404)
+,S(428599d9,398a2c59,58c5f74f,1226605f,3c5c8e74,ad8f9bc2,d62b8d9f,d679d3c3,12a1b04f,add5d70,bdc5e15e,d6347f7f,6785c425,61f14ae6,275cf050,3a1bd5a7)
+,S(134ba4d9,c35a6601,7e9d525a,879700a9,fb9209a3,f43a651f,daf71f3a,85a77d3,21c112f7,6a9b9b21,e2e3a7c2,8cf500bf,f48aaf1c,48e0e13e,f15618b9,ca62287d)
+,S(d53cf8f3,cc5e5739,bc9f9144,a44e7b7b,bb8f2c36,b50844ca,9b2d9cf0,cd0616d2,799c23b6,c57aac44,90d71450,4388cfa4,689393ab,6f30a347,4503400e,c568e03f)
+,S(a1e22cfd,e8d12f17,eea1eca4,ea0b520b,6598c036,d1bf837c,e23bc300,a384e5a7,cfbb52a6,e1fb6a65,77cd0377,8bc965b2,a3df592f,f73c34d2,a91b8008,74ecc295)
+,S(72bf047f,a0da1391,78b97ea,7b317168,ed0576fd,71f49409,39a8daa5,2a02ead8,f8d93088,cb3457e,7828ba9c,bd8492e4,9eb2bf0e,2e23bfb0,4591e9bb,5273f462)
+,S(c5373038,4b951abb,3bcd1f4f,98d983bd,cb5b36a,42719531,c4d1797,2e9bce59,d921f353,a9f7309,6dc16028,f9e1b562,f406bf49,54d78bf9,f2b4c8b9,2db26a82)
+,S(ab20d194,e2a6c4a1,5705d3d,19300810,89342b15,e9fc6224,7be58805,a8682a5e,44dc39d1,8342502d,cafafe40,33c4893a,2dddddd8,ad7b238a,efca50cb,5d5b3186)
+,S(1432ddfb,108ee664,2eaa9c97,585f47b7,b92a5ae5,39a38093,b8f3153c,e971c8f9,5362084b,5482e375,1662aa95,dd3b9a6e,65235aca,b0ce1eae,f5153951,1391e269)
+,S(f199ede,4a69d778,61e107c9,376bdee5,6430e279,28c74d75,66e65589,be8c433c,5e7f6fb7,1b68a535,f407a9ee,2e42f65e,9835bcc7,2c34b8e7,712e5332,a65e9ac6)
+,S(b24dbf51,47452b5b,ad94bf4b,493120ab,61ce2ea4,37b3ad71,62e568a,1d595d1a,b3af5a90,8d063602,6b3869d0,c9f31793,61afd6c3,8db99cb9,77b14e0c,46427518)
+,S(d7fc29eb,b681e025,992d9ef7,295db58b,40f36c64,d1be10e8,c8e66858,d4d0d9aa,c587764,ca84b3c7,2f95eba,eb62494f,ce391202,90c42b9,e8b2105d,ed972595)
+,S(5c71e90,d5f00ee6,e033f0c9,c1ac495b,d148a31d,143a8e3,59a99c7d,faa3cc9c,4acc164,ea3071b7,a4830a27,24135c49,562ea631,9dc4455f,808f1282,4e3bbbb3)
+,S(4c9904a9,a33f7e33,9a3d85ac,c12b21ad,11f7d7f2,76e46620,76878593,9d11eaad,2387a445,b0967403,86ce4634,62dd101f,95650365,ac02ef1d,2417321a,3fac1df9)
+,S(58f457ec,12d22482,2a91b78e,26f7d8f8,5fa39d90,59fb833c,bce4b1f2,5c9720f7,90808a70,79d4970c,b2b70ae,390844a,2f0283ee,eae05a5c,7d2dcdde,be656f2d)
+,S(9867259c,51414805,3be6a73c,de522d91,a8d8b359,9f9bd39b,9c9575a3,90405bdd,9904fa47,34973bc1,77a3d0dd,f0edc0bd,cbd77b36,357734c0,a0feff89,4895f3b4)
+,S(663b4991,913148b6,631d16fc,27471938,20a7ace4,ee85c335,17b60cca,b5e12b5b,1b295a18,16b92c5f,15b88bbc,177dc011,f6ef0760,15b5ea47,9bca876,ae072070)
+,S(5e3ff13f,bed18235,fe28dcc0,72f09cfd,41394cd,a9a3aa52,5286cddc,e56acf05,c1488c2c,903bff6a,411697f4,44e6e72,6ed9c0bc,5aa87cbc,ed8f8802,6998fc7f)
+,S(54c8aa07,2f1fc5a6,ade56cef,d7c6aae4,846f6855,34912868,b84b195f,78bbe14b,ef11dea9,5cb01680,e7205f1c,62aa5242,2c0db969,9b2a0202,966873f3,1fdff34c)
+,S(bc69e00d,4118d8af,baef7647,6e435883,2ae9864b,f154368c,e2ccdadd,c58cfd9c,148aea9b,2babfe00,3a6592f4,d3788893,5be42ac8,a50f68d7,ba2cd738,47dd9c52)
+,S(50ccf184,c0213602,af114924,fe100f78,1f0d0cc5,beafb671,9dedea00,c7c3ebe2,b6559878,d7c33082,4588dd33,3054c4d,2da86b8,ff23fa9d,6413920c,d876e36b)
+,S(c24ca0a4,8ff2cbb6,235ef33b,42ba032,386d5475,3cdda799,e9bc53c0,5c299aee,8555bb16,bf4d7bb7,5c0cbdc8,8594454,bfc819de,72c3954e,76b65780,2be28fe4)
+,S(cebc8853,3f6c3a01,58dfab12,ef52b4e0,a7473d1d,209b3585,bc94a13f,a83abf17,42fe28d4,136bf80a,7149a0b,7ddce53c,45e23c0e,7be85fcb,73c0e66,2c4c0593)
+,S(7d921a84,65b11feb,7a755a4c,5d96b6b2,f17e07a,95db112d,48c03bd,18f61422,f0ccffdf,7f04e350,13ae7f36,411dea5a,ef69f220,790c37d7,354ce5e,83925f4)
+,S(b6909fe5,6824e868,f4cbdd10,d3d00ca,23e5b4,35c78aac,c78a9a1e,321d178c,3d513c55,136d61b0,73dec253,e1ed817,782d9f76,b536d3f7,c3b0d1f,d06e6c1)
+,S(5a3df3e8,c78c0fc,56971dea,ced3a6ea,e1ef668e,2485bcb3,d4e24408,7f53cb74,960721cf,316278bb,56bcdd1d,9f3385fe,8feea6b0,661bdf1d,44771067,661aaacf)
+,S(dc65c06,50cc30e4,d759fa93,d4d0ab65,5cb16591,289206d8,7a988290,20c22f9e,be39ae0e,a41a81d0,2175dfd5,5e004e19,fa925a99,2166d862,296899e,2532b6a6)
+,S(f659d02f,f2d4bc82,9f816525,24019a88,6ad539da,3f38b083,5d8265cc,bf3a67ed,bc9c7a81,9036c702,338c57ef,26134647,2a22b8cc,5543f4b4,4a4f7d4d,d4339573)
+,S(b89bbc05,420a8a65,aa03441e,da1c54da,9ca84f11,e85a393d,47cc54b9,78b8e5c0,5f3a2fba,4cef4457,ca6befe2,7dd3f9af,a5d8b6de,86679eb4,c877c7b4,cf03c08f)
+,S(b9bbb789,690b53e6,e42266bb,853cfbbb,f6788b58,b325097,a55470e3,d4cbc3cb,1f984f38,78427212,cbfc8a93,8c1f0d87,59792ca7,17635c75,71b2c4f1,29e35c2e)
+,S(d8ae91cf,8a99ef6d,2ca0c15e,3132974,33cd46cc,55a2c8f3,9f909e96,7d50006c,4fe4696a,79d2f269,9fecfce8,8375cc1,81c2c2e5,4109f380,3377a020,5496d733)
+,S(35dc2c70,181aea7b,ccf6a15d,1f708c87,cc8bc5af,93671c97,35867367,549357bf,6f27dad,a9abbe5e,5e59141b,78a2e6dc,5b5433ef,dc8c9cde,a6269c2a,68346f87)
+,S(a4c042b7,d54b67b5,877442e7,2e81de4a,7edbe667,f00838f2,34f567a7,9e3791af,a8c6f7b1,6b23a9cb,64732852,c9734547,69ef3e4b,9165ebf0,a1dc4967,36c73242)
+,S(d6ab68a3,353b6c65,3836b66a,8c39f2d0,892cf856,90ebb56,a5e8e4c9,e669da34,4847a9d5,f39ea1e0,ce392c8f,9e63e88f,8f3feb9d,7b2a05c7,23a932d4,b07e38e4)
+,S(e161c34e,644eb3f4,fa217d33,dd3129b9,c2b85ad6,40b56e56,e20982d1,c5483d43,ceafd0af,a8cf7a25,be092307,22c30e41,b6ea151c,d027326e,5152aba8,d9a50749)
+,S(94959a2,fdc2650c,b4b0219b,83ac99c7,c477132,eeab585c,1fb262e7,6cca22f,6243f3b6,ba7d4f26,24f7b7d5,8e070b2d,64610aad,b281b4a3,b93b030c,ac0cdab9)
+,S(491129ee,3130c2,f262c4d0,a1bfede9,e470c3cc,8e80774f,52ea023,67e2e3de,c1e61e2,a5310866,762a0cf0,ebbae0f,738b9527,46001aed,a991e0ee,d95f0db5)
+,S(e2967539,b0b29fee,a668eebe,eb8e47c0,1ed84950,a1f9fda8,6884a421,5ab6f265,c304cf3b,b7faabe8,cfeab6b1,b88d3d41,7e950963,745c2479,85211d50,888346dd)
+,S(d90a380f,5283132e,7d6760ca,f2b28576,49445507,b8e8872b,d0e1d5f,56a15af5,97fa0739,7a1357c5,e24d0a3e,ce608332,107e41f7,c65d3c6b,98ed66c3,af30a4ed)
+,S(cb917a08,153599e3,e531b1ac,63fb8e71,fcce572a,29fde1b,17de843,a99ea2b5,701c08a4,a9da11c9,3b4be64a,6832af1c,900ad3c1,4b4dbe70,c62e3e08,55b41b6d)
+,S(e6ee53e2,98efb026,bce900e7,8d31f3c4,539108bf,d4c5139,16417f8b,49199a0a,bedd41e4,751f657e,8cfc65c3,2a82f981,4b223e62,95ec36cd,da5125eb,da736429)
+,S(5f777c41,f4e3441e,75c66f28,852e7815,59d0f3fe,b8b05b59,b6966fa0,de84df2a,7fcc66b8,127d26d8,e0ff69cb,b80acf44,bae5546,edc9bc52,90b73da3,447a2731)
+,S(16d312a8,1295ab9d,c08f9fbd,61e6445b,5ef1dc51,fce19d,89f04e7c,66ba2e07,6c555fca,2a1d2f4a,24ced2bb,c3966f4e,1bfc1912,eca39067,503df586,41a4d4b7)
+,S(660d3993,fa887e1e,8b05d80b,96e2b70c,341c3ba3,351d2562,5792acaf,3859de3e,87b06f5d,4c6f854a,8714eb3a,55454346,f931c21c,c77da23c,2d069d33,7dcf12c)
+,S(9d45e660,879b6e8,b8007a8,ba7fe7f0,c7090cf6,9c733bf9,43f4eef9,965a1ae2,c81a3fd3,9b6b83ba,d163c763,f3010359,ac050e64,a47167ae,2ca41345,c7d95662)
+,S(c95d92f8,c81d15fa,a68f645a,c1ebebd8,57c6942e,e75ba13a,3a4eb9b0,c45c43ba,2f55ceb6,c1de7877,7b322a91,7f3e48d9,480b80f,d49e362c,99f8104b,a20f392d)
+,S(95d445ff,e8cf8240,fc4e9856,9d41164f,50e9ebcc,1fd3bf19,d4309de3,34b4c97d,7c391704,a75cffe2,f8971ddb,417e8158,f97a3688,6841f02a,c4b699b8,df6c0d32)
+,S(40f028ca,907d6521,df1f052f,ba5268f9,a60e705,bdf94328,17881b44,1500170d,4eae26bf,37d04379,126ce777,b1fe1115,8c34d077,bba66994,78ede7e,244cc8c6)
+,S(dab90c34,e7460068,d80d2be2,2bd81f9e,667bbd96,4e30c23d,3eaa7a75,a61e862d,cafa2892,5128bf3a,4821cd14,8503ca8a,86f06388,d21df6ee,af92d514,e66c5f1b)
+,S(6df2280e,381ef8cf,922505d6,7646c1af,105f91c0,59e8e7a5,3ae2e7e6,cb456be,d94a020e,7776b713,b31aff5f,d72be6c,f29bfe46,16ea3d29,95913db4,698ae3ca)
+,S(a13d83d1,3c60cf65,cefc8692,f5d339b,2873582e,938373cf,3e4df54e,ae32ffd2,8f511212,a65d8963,d7df7ed6,27d87fd9,208f83a,1a4dd14f,ab0593d6,38ac71d0)
+,S(ad4c1ec8,39950ae4,a7fa551e,5aa637a2,e5d40bfb,3fab696f,ea886a4f,40bf2167,fea9b599,202841d0,c3afbf08,ef1da210,cdd92a4e,6cad485c,a0d5275e,8a5dacfb)
+,S(64188be9,af657254,1314e661,848970f6,35a0b6be,7e594824,6dcf36d8,66840610,58880b5f,c3df9b6a,45b49ee6,b90f6b5f,f3fc440c,37855167,a30ac013,3d48e53)
+,S(9b71366d,a66b165c,6495e4fb,46ecdc15,84a193ca,d65ad8b3,7a01a3b2,cf2e43f6,d7315165,ecec296c,4b71a860,f3b2f0dd,fb9447ed,5c59a458,8b81f679,34321301)
+,S(4a3c5006,74814f95,9e9c7726,595658ff,84e369af,636f6aff,ab579bb8,5583d395,1b495757,1a302c2a,d1cbe53c,2ba34a6d,66bf1aa1,8bddad33,679e4890,5f9a21e9)
+,S(e4305e5f,72c43558,79a749b3,d563d4d1,dca704c9,c8867d01,ef503cf8,97c90034,ee563dca,4d31945f,c536a318,e9297d28,81954b37,af992722,9e4e0e9,1c16244d)
+,S(3aea4eb8,ee74c9d5,2259f37a,da33ae1c,78f5dd8,d97511b0,2e0a0201,82840a8a,8fc58135,757b8c0a,a8f2c2ab,ec9d9152,20ad2046,f429667c,c4586765,10e93e87)
+,S(58e8e94d,e9f85066,7cc4c61d,acd212f4,77454942,33deb015,858e500e,9530228d,5a95aa24,fb782a4a,e64e155e,eac2b644,cd614315,9b46db6c,9bb4fe4d,5e5fd690)
+,S(6642c782,7e1df912,ff54dbf7,41fa1567,3e9c3aae,5e7630c6,9cb74b60,c070af1c,ff338a86,34a404c0,cb26af9f,59df36a9,e1a848e1,ac178b25,c37ac177,db45e947)
+,S(c5c69fa4,65c79a50,a98996ee,cae55474,5c544a3,ea838a42,e12a733e,9181b30a,6e805461,5a424a9a,1fc229b8,7e594211,697386ef,189d1ad6,ac75eaa2,5727253b)
+,S(f4faf099,fb16a1e0,e5f64428,5317d91,a31daeed,fbb6a6ec,b70a213f,ee95217d,ebfd8445,42fee872,1f721f3,11ef28e,30618bd1,bdd097c1,ca573285,5b079734)
+,S(773b3e69,fda8abed,fa61ef37,57101756,9d9d2a6a,ebb4fc5d,d9049d56,9c66b76d,1bc051c6,302a383c,dc0756b5,114dfc69,1dd2180a,88a4ea9b,6acebccb,a59f27ca)
+,S(bcf80e7,b2b54cf7,971fae7b,db8b3826,85acc1b0,f987f352,d9b0b3c7,ac78142a,20620b00,8c010ad9,7a98f093,8d9a381,f9935d5d,4bc9b060,af2ee6ab,151eedce)
+,S(865dff30,47f31564,99337316,ea20223c,5967e034,83d92d54,7486fddb,fda959d2,2b655c9e,37697f10,5535b736,a31b2c6,7f5726eb,602f1438,f808ff62,4bac074f)
+,S(e48e0e18,101eef40,f351067e,63d2b34f,4fce76c,d204d6f8,85d2664d,fbc92d3c,594061c,8d3f4748,bff85cdb,f70a4035,5ad826f3,46d44aa6,7eca3196,e433bb65)
+,S(9807e350,7a03e134,9bca9101,cacca5d1,a564b647,8c906619,61ba503c,5ee15bdb,301e68f2,d584b1fe,3eeee7c5,85cb4d0a,26621bda,229589cc,2704dfa1,1cb8d927)
+,S(95f94e75,8602dcd4,60ded52a,c9d7ab40,1fdf1405,b271acb4,133a86be,cfe5027,f08d34eb,e9cf1b1e,78e1fbec,452e1ab0,412c642e,1328b2dc,f5e08b08,38aa3c51)
+,S(7ffa20eb,ebbad406,deec68c6,9bdb7b0c,7615a56f,5c62a646,a57535e1,68a82a31,230241b2,3dde374f,7a039eb5,5181e954,f0472056,79edc688,7c4ca6b8,778333e4)
+,S(1dc7e0b1,487fbb33,d1ecdf84,7bdbfef5,f7df9f31,d07ff024,be063a51,53eb5498,ebcf72da,18a1a55a,5aec4aa8,efe09407,263a7b36,f09552e,22cbceba,7a3cf980)
+,S(a8052e02,e39d9981,2ac6c4e6,2cef526b,9cb29843,127f2227,50a8021f,4ced5cd8,9011f0b4,9dad7e5c,11222b64,c5d8c9fb,297d9afd,c683f545,849d833d,f2697220)
+,S(3edfc4d7,f1f699c2,8e8ac2e7,5cd93e69,fff31607,d99a8195,30603437,f9bfb20d,f901260d,68c6dfe8,aef8879f,ea1ba009,a1e1d931,fa6ba39a,ce1e2673,ba759311)
+,S(fdf8ae7d,c10d01f1,c39bee75,3be3307b,53307caa,4af0e8dd,9de7d696,45ce527d,2425a3f8,c6147073,3a44d3eb,eff3d8cd,61e5fd55,ffdac357,d7906600,153a8dd6)
+,S(1cd5ba80,fcfc77c3,d06e230e,e7ad8ff4,f9ee6c60,a71d37b8,3718d8b3,15d5a4e0,f90ac118,30b963ab,fc64492b,415db7e3,47eba55e,d2c5a64f,578a13ea,b4435cbd)
+,S(3cdb43ea,b7afc936,24b80269,18319fa0,e75de21a,c0587af3,541e492f,1510257b,49b6411a,c74a2eb3,ac2ec784,feface51,8d5a5bd6,e76d694,bf5ab8f5,c146abfe)
+,S(165b6f5b,9b1e6d08,14e44cc7,c7969297,bba7c659,58dc3274,7e7c4148,e30c09da,e715e411,2e6cb67d,cb8e1ad,997691f3,bd6119c1,3a5f0329,1ea3928e,35c04551)
+,S(d4c1190d,da3c01cf,6c75fa06,7b4dd1ee,e645a0cc,8b034f4b,24580661,8ced0bff,c837ed81,b6a0e5fc,6a02d6d5,f837db1a,20eee55b,41ff531b,9bb642d0,52c42bfa)
+,S(f7359bd0,bf7db6b0,48f1a040,a0163fba,285780e7,909ab689,7963168a,a7de9c29,8c71bc3e,95ac0f52,54db6192,5c6f9112,759635fa,95846be4,6a28573e,2b25562b)
+,S(4d54a2f6,dbebbee3,8950627e,8cf2c65,6ca071e7,86687f3b,a0a77178,be14c55d,6579dace,73dd14c,695fd781,218786ee,bad84445,ccd910d3,43aa2478,f5576671)
+,S(f70b532c,e7203208,d6440bf8,55e1293f,cc6ebd75,96a04b27,9fc056e1,2ee32dee,e9d18f7,126ed56b,4a657104,2441bc08,1778736b,91062c9f,cac28cbf,b8737be1)
+,S(bbf3ff3e,577aaf34,157e32db,d977b907,e62b16b5,1ae0abd4,f14e71fc,cca11357,cc1a78ff,44af7c2c,cdf17423,9b3aec17,b660ff2e,fc07953,2d9f9d6e,55d3abf7)
+,S(53bb2321,b36d1dad,226ceb24,f55d4292,be245444,b2349611,5a649560,59729700,a5db4fb9,46c4a2db,b1a634cc,4032b7b,cf23f7d1,717a0ee9,6c02f131,24f834b6)
+,S(3b863ec5,5e4ff2cd,d32cbc81,6e645009,da444255,9bf96267,2cd012e1,15372186,914682bd,d6a052bc,25cb4d41,e9bb28ed,76e9aa55,3f5aaf25,75140e04,eca69fbd)
+,S(4cc4a750,d641c574,5c68a48b,953ee51a,258239b2,fda1f5e0,80831417,7b837946,cd6f665f,6f32246a,1cc8fa61,4da2783c,f4c7b92c,4f42749e,b6bd4a8d,8a84c54c)
+,S(6f9b5d79,efddf08d,26183b4c,d6001d6b,fdad9e8b,dc5853,f3a8c47e,7e6f9e96,b81148f2,1e50152a,8cd7727c,ad14862a,37fd186e,2054d4c4,a4cdbfba,a9076991)
+,S(9e13d0e0,44cd3fc1,1c7596f2,9946313c,918caa65,bcb6387d,361eec31,ebaa6977,c5f55650,7691bc2a,b2c9e4b8,512f7282,24276490,257288c5,2387fee5,54bc9c0d)
+,S(a4441292,d0e0db3,2a4f33c4,8bbc5fbf,d40650c8,d9f5c4f4,88a1f69a,d71571bb,a23ef48d,38abc24c,608dd688,d524bed,a3709a5b,3567ef3b,e43f0240,796b7ad2)
+,S(def598a5,c4828c5,16b7076b,9682aa82,4e74ab42,e4d4692d,17c8f289,67f3cbb4,e6b4bf28,6dba0803,e4a97a1e,be55a088,10660466,3d7726e9,300109ee,a1d62a49)
+,S(8e991fb7,372df8d7,7b09436d,c9424a8,5a14888b,583b3c58,6d2a19e6,91e75b67,1780f6e9,b8379b0f,ebb1328a,69a96878,9f58b45d,8e3ff218,81d753f4,8ed6c43d)
+,S(bae09288,e10351fe,fa0b0971,400ac3d1,a7eed65a,b11d1ba4,8a1c6240,bb981114,dfc2979e,dcc2de8c,abd9abd2,27cf7351,4079d950,aba60e3b,f4c775ac,72c30f4f)
+,S(4d09ae3c,b484fe27,411d4142,e41de523,2c54c42,b387c7c2,cf42a23e,e7611fc1,b94fa116,27eaf5ab,8fb7fc25,1345eb28,8f5249e5,ec65e056,d60e1294,41481375)
+,S(32f57ac4,3cb29fb,f8a00d8b,c95da8e8,3f0f541d,ed6c9e78,8af17a14,6a2704bd,2a969b58,9a3f9a5c,26b51ab6,1a5717bf,c06eb438,85e4f4a,84b903b2,da5bbf09)
+,S(595503ae,e179f59e,bfc581b8,7ac18e1d,55b4c794,87d90d62,492d3ea1,1ec57579,1f25d8ba,e38c0a69,50a17836,a842b418,b0f7c317,9486fb16,9ba11b23,d315ada0)
+,S(5555fae0,6f1563af,238184c9,304e26ef,f8b2121,394e6856,79de6792,31a56842,6840bd14,faf202c6,60650541,48bb87,df27b979,4ec0da66,9ded6830,b0623980)
+,S(714321ed,2f0432f8,a05c33d1,84619de5,f81fb8db,95ab3121,c24fc998,ab9b9ca4,4470cdaa,7067de2a,e6678cd0,6d613e19,35b1edf3,bf278205,da69ee8d,6086c2a7)
+,S(d41b84d5,9a0085b,86e88fc1,499151da,b0b9a574,92b01df6,36cc2288,313bb592,c04c54d2,57fe5ba,691f6023,bd72edaa,20e71a97,1a760bf5,3c990a39,f5ef7c23)
+,S(ae34a065,b42f5158,e6a5b91b,9ff54b0e,6d5bc906,f6d18c3a,82865e,e9038f34,bf2c90fa,30639811,2ca2ed02,b7ad090d,8bc990db,b6140a05,afcdc80c,bae8490f)
+,S(9b3c2682,3050a52,a164ab,f4504ca4,7750c889,b6465f95,658ba7b1,c279139f,ee36938d,8a675824,51ca289a,55265606,cb9ae4fc,8cd274aa,41db5ea9,9a5b4299)
+,S(27dc9a57,999ed109,c3dff978,58d44ab2,73987af7,b617e9c,766331d5,c06e0dfe,4e97536e,67e363c8,add07030,d59061,33a726de,38dec51,e5a20009,61ee0fe1)
+,S(c3415e9f,9c823521,bad3090f,f2c48e8c,647e438d,70397e5f,7d7a6f2,b7d7d4b4,8c3bb607,c746147c,d5efbef,7e27d236,c4063116,89794cc0,40c235b4,6af412d4)
+,S(f47e44dc,90c8bd2f,150d9dd3,e4922395,14990fa1,f2fc361b,a24f853a,b37e33a0,f4282a26,bf5f358f,2dac4956,8bcc15a0,d7eddeee,b43e6fd1,8f35d5e5,4295ddb4)
+,S(3cfa945e,6044ec2a,da895f9,9dc24575,deee57e,df8b1a10,a2d2ece1,9951a812,d0ab59a7,46ac6edc,69307a0d,caa00aa9,e7b73897,b89185fa,9dc3899,ae7e3664)
+,S(29df8149,9d83bd0f,8fe61eb8,8f0abe0,96a75e5a,2cb0a0a9,76d8d27b,6533a4ed,7eefc80b,63f927c2,e905a56,62d5ed34,e9bde8ff,4402491f,19215c9d,494e62d4)
+,S(eea85a80,566d13bd,da65f553,b2077607,c8b9184,6a5a8096,f57afe93,ada9fff4,b5389645,fd772da0,1cf3b535,6ec40279,cf76d812,11f20a16,71d7ecfc,441d71bb)
+,S(e1a69e64,4434db7a,54550d44,adc43682,c128c560,3907615b,9282cf1e,e2b74f82,bd434a85,984a6e64,441134e6,d1f1a3a3,adeab658,c29af8b5,4bc42667,634d20ee)
+,S(2d99f69f,a7e9f3f6,6a53eea4,381a4c80,ed17e8e1,4507d7f,4a80ef25,293c5fba,25a6aff9,a23a406e,9e34ad6a,21627acc,96b6ceb0,7896382c,833b8fe4,8e603e0a)
+,S(d2482127,1554a14a,7283dc8,1ca70179,42a35cfa,c8659b2b,db78c426,51807cb8,a252027f,3fac319f,c767652e,469421b8,d34decd9,c9042d58,f8aa0ab,70e5ceac)
+,S(bd030cbc,5f0de61,ef194eac,38f7443c,d231f75a,a0b568c5,416c5b8b,917545d,ad0833b1,4f1e23a,76c0626e,71129455,60fe62d7,4b3a1b95,69e4887e,c0661e78)
+,S(afb44b49,ef00b1e9,59c7a864,19d2a4db,71d9bb0c,4e1746,9550d39c,9a37a161,eee390a9,530a5baa,5350019a,f756185,8038c2ee,7f78c365,dd6f62f0,f0589aa5)
+,S(9e584f1b,e06ea4d6,5f8dd96f,206cf4b,88aec6b9,ccf06779,53acf110,99e2165c,6994ce27,46b0eab3,d8608ef9,33b61339,d3e589b,c2acb7bd,aba3af72,b082fd24)
+,S(d2265b51,b4f7f4ce,1d0966,e7012f9,76433dfe,444b2351,9505b29c,d520c6df,44414498,df439478,328b330b,6f8c6876,682b6a32,b5d01355,2494286e,a635bf65)
+,S(fcd56867,58c797c8,3aa1f1d8,a9ba34a8,8e624aeb,666507fe,706b310f,3342264b,680e0b98,455f0e64,94622fa9,e36f76d4,863a9fdb,a3df93af,c688c45d,fdc5967b)
+,S(bb9a0c0c,74db0525,370e8235,9d733aa3,494afc03,fb61a1b,7c2536ed,9903fd91,239929a2,1c0ed586,b9bc8f03,af422994,f81619c6,b2fe637f,a511c07c,d9421603)
+,S(2358b078,1989d6b5,666d9158,2fc640b1,13d52e61,ea2147cf,a0a103e1,5ae80db0,73f84f47,a78fe2c6,e4d01d7e,3dc10065,e052401f,64796358,c784d59f,742cc8f5)
+,S(ddb3409,ce3184a6,d9d7b4c2,cbdf32ef,ebea1be3,595ba19c,42933882,237dae94,59215423,3760cdf0,513442bd,2fbef84b,9c8c0fb1,ef16fa31,783d4dcc,50f24f24)
+,S(f99aaa8d,8d42ce59,86ee8ffe,d4dc8a48,81810a6f,cdfa9519,46f00857,4ab1c3c7,d0f29fd1,32bd65d,7f9820b6,830a3e42,8664f9e3,9cb25729,1adc36db,4e177187)
+,S(83042093,46ced0d5,a33f491a,c98aae7d,51f17ea4,1e5722cd,29c47f15,49c183aa,1f680d05,ca015018,664dc767,4de0305c,b09efffe,e7b164c8,c733d2ed,18c15d8f)
+,S(339f95d5,5e293243,ec10b3a9,a8dba385,dcaa23a1,bb424bbe,4c894deb,c61cc881,3a4ec84d,67831768,e9ad1d9d,db82f785,52883fd8,b0b63bf8,38495a4c,455d5865)
+,S(f94de87d,1123f6b6,97d4536f,7bb6a995,ff158060,b7d72b9b,3c9d74c7,1afb6009,f123cea4,bd4859b7,a852270a,17c76c06,e6050a26,9c035bf3,6c505fc4,1fa81066)
+,S(71341ad1,bbebbb4a,17a7701d,30dcbf7e,2a70b901,5f6c5ff9,9fb614c3,d3338fca,6ab14a0,4b4956d4,a687acaf,30d7997e,cf70df2c,b49356fc,5b86453c,5ef6d55)
+,S(79b8571c,f52ee30a,4d3632d4,965cc6f4,cc6ea06e,fe1cb7a6,ca2c9c9f,1e835bfd,259c0c7c,b8fa8345,57febdba,2183042e,78f8cfaf,24a41dd8,2eb0ad3c,426683fa)
+,S(f3ce9dd9,d879e70e,21737426,dbbb27c9,7af84307,6855bf4d,af141d55,5006e402,302a436c,f8be3a4f,dd70a9d1,8f63cc8b,ecd3ba1,ddc9aa3d,f4285239,61e7553d)
+,S(4a66f7b1,52a8cafa,78d0e98c,2f8361b9,a0bbad47,d23b24f,5184477b,e90d6318,7555fd5e,87676154,8f7afd4a,33511daf,b3bc4a72,c9f54d4,92327a2c,c235c02f)
+,S(cd3b4037,5cd6da61,ff432898,fc592175,c90fbc31,373489ee,c988f280,3459bba7,b0e86ab2,2f2d8d97,5f68a7ab,3ffa3be,511390df,5b647608,fb07f29d,3155728d)
+,S(e96f166b,84d98bc5,41ea8885,f7a48612,227bc907,795782c5,d0e2325d,96cb44a0,18ac220b,8def89a1,e3bcc2f2,7a66c0ab,3ee27c3b,882dc16f,e2571963,92b94310)
+,S(87adb3fc,7fe6b07f,795bb7d7,ab8383eb,a3f91564,ce89d267,599657b6,9d793838,68677cee,bc7b3d09,efd0f118,d392d0f,d2d5f2bf,f2b50230,e127acb4,97f5c886)
+,S(fdaa2f5c,ad1da3c6,3d241a7a,b4365e63,8eede0f8,229a8187,6cd76a3a,7020c545,5b04616a,a1a84785,c4315dda,da6289bf,e57cb9e2,80c42395,a1b13d69,dfb2ddfa)
+,S(7eafa986,1a94fc8f,d263cd4a,1e481e1e,8bc1a385,c4ab748,8715b032,3bcdb52d,d655b395,607bb0b,c9092364,803798d8,17a4bdc9,a30e2844,94be8322,42af9949)
+,S(a7fe4656,98538c32,844337ea,bc90fb49,feaf2fcb,8b86da6c,d173bf9a,70e62a53,cfb26d1d,689a9075,55057ab0,d4261e2c,acbf30d6,cdd09f95,9cf1830e,5d635aad)
+,S(8bcc3b82,d543f365,478fe32f,dc9860f0,10d51f74,b7b5344b,ca6b868d,3c11264e,6bcc32,f7ff3e48,fa1775da,44b64848,f52329d7,d8bb0a09,338b799d,7452b4af)
+,S(faf9aa3e,f1ccd659,2feb2add,a1b58ed8,27511b39,bb981cee,4fbe47db,5cab2917,854b88e3,50a6e9a1,fc7e9e45,f3fdb69c,8111c654,877cd620,fd82ee18,ba2d195b)
+,S(77012901,ea269067,4d8b4397,e8976f98,e33b1709,c81624a0,7916da35,af75cb29,b63695d7,cc896358,e119eb98,7dc0f67e,22a70c5b,5e6e2072,e61ef62f,9333bc4)
+,S(127602ed,f5f1a04b,813e2b6b,2c27f50f,803b70b7,b9525b7d,902f348e,c03591a4,1f791f7d,2427532,968f7a08,f94df6be,a95b7e6c,5490fa9b,5eb5a3f3,207455ce)
+,S(17e82c3a,3731a73b,36501eaa,fde3ee8d,ca9f2573,dae1e4fc,594cee8f,e1d19179,8af04092,79792fe2,273e3f0c,e642f3fe,edf1ffed,59c5826d,a7fb2716,ed365a3e)
+,S(3c34e27d,5d5737b7,78e968a7,fe8e4113,f802bd30,1e0367ea,41fc8b5c,14b0dd84,67bfc61f,bbd062ce,6224e883,9092a962,eb3105a3,b6634dcd,d59c61da,906a4ce0)
+,S(b7a35907,c7b55a8f,7173a5da,c73e306d,64ee0f6c,cf4f5c76,3416bd4d,4f5359f4,d111c21c,e5a8674e,3a64adbd,4f56b1c3,61350b,44a552fb,19186b8f,95ed534e)
+,S(6c7d4836,62c28812,7b904cc8,969ff925,8d9fafae,e88f6d3a,e6e4d771,bf8ee7b2,b593dc47,3c29694f,95b00169,286e3981,afeae4b3,dd7a788d,f32a14fb,6e6a8e7a)
+,S(dfc406d7,625719b9,4f709993,c5d15062,4c725ef8,eecb2308,bfeec0b3,6050bf4b,651c0d2a,fb29eab7,d4740b5e,1fc2c069,54ced865,7a6bb980,2de8d873,a451717e)
+,S(1631fa0f,4e9fdf51,a2842994,da94f835,52b5bb40,348c706b,54079073,665c6bfa,de202803,9a8d1ba5,b133ff28,6df237d2,a8d73343,a08e7c2c,4560954b,eda5ade7)
+,S(fc52b3a8,8f712053,2c7667f9,62146d40,eaa3e924,327d959c,a49b74a7,da11e5f6,7bf890f3,daf8f9d9,49e800de,8a3f5458,5aa46e2f,25535cdc,18170391,e2101daf)
+,S(6b7036e5,c5993c6,8a744776,abb0b5b3,31a886b4,93e49d41,bc7d93b2,28566fd8,6ebe771,42a56189,f272b6e8,8f70f356,ed1a3d37,ea2d5e4c,998e47c1,319e2ec7)
+,S(b13dc5ee,7333e3a,4b13628f,7ef96ae9,4faee9d7,3a46297f,f1e357f6,e7a57a48,4f30b474,99c66456,33f5b521,9164a890,d8cdb78f,8c7ee211,1bd37fc2,d41bb2bc)
+,S(1888e944,6fe20426,d4fd677c,5cf1043b,605e93a2,c8532623,b5951e22,34de08ae,9e1f4fed,d5de001b,378ad1a9,98e31f00,30af9674,c383f287,50172e03,ea0b0f81)
+,S(2495b334,9884d5f3,166f8fdb,7ff81f9,9042383d,def7cab6,3c2775ad,226189f8,846850e0,2a1cc051,eea77bbf,d5f44499,673f40c1,190e379a,9b37201c,51a06e9c)
+,S(e4c0e483,f21102eb,7dd2a78b,5a605b8c,410bafcd,f2ee4bdd,fcfe1374,ab32d17,b53fd34,568f5edd,a6a3abaa,2d2c3a4a,bbeef0f6,c37bec1b,fcf012c3,dac15b9f)
+,S(8f9bfd7a,2e798812,eb927fc2,b0ad5eaf,81a0a30f,a97efbee,a1d6d9ef,19348a5f,1eec535d,1bee520a,13a8410b,6f3824cf,7c9d5a82,8208d2ae,dc89fa13,8bb7c2b3)
+,S(1d95c760,f3fc2eff,df51cf0c,4b708538,efb56675,eba3ff8d,4f6abe65,d3f167cd,c2bb1122,5016ffe5,6859da47,4b777703,49e4e655,5da3d9a1,6dacbdd2,d42ab0a0)
+,S(9df72bbf,fbcdc42e,adb71d69,1791f073,7f945e8,bfbf4e2c,68c5e3f6,5f6955f,24d47aa0,1626b0ac,ce77827,fd7daff,7424d4c7,1d76ad3e,b66d22b2,6f7d1df9)
+,S(2df6ef96,7c0e1a41,2bb48bdb,f2cdf8f4,22829abb,4b7a42e,95bd9cbe,8b7f860f,bace2e70,7915069a,bdecd097,9d133cad,bcfedbaa,7eb9891e,ad3380e,9ca99401)
+,S(82bf2a99,624e408,188da19,59599de0,eb947438,fcd45784,9a731a1c,15796028,3b6c668a,e5b8f394,3ee713c,a8fbfde5,8ef0f9fd,84054a9d,b626e274,37e611aa)
+,S(60260fff,1f213916,9261edeb,5f1d2d0c,a143ca69,400b2776,21793c11,fbc89d41,bec4bfeb,9d09f8d5,cdb11e3c,f65c6a7f,d4aa87f4,e41d7f4,69717a64,5dcf9945)
+,S(6391ed61,80cc46fc,33481faf,d21151f3,cb678e3f,4d667748,1a24a01a,c5e9180,c48495fb,fa5962b,44bfbc4f,491b89a6,a8588fe,91677b19,b872dea8,8e34026c)
+,S(20807816,758361aa,d5f62d25,8e3951c6,da518890,26507a7b,c0ceb7f6,a96c141c,8526d53b,61c8427b,eb141d91,7a338fe9,f7789a60,cc1a4a62,15dc754d,a73903a9)
+,S(1ecceb4f,8acc649a,dbff29c0,fbc62c11,498c7cb3,7d29ed15,e0ebdf03,e994b67d,1c701af7,a9f3d870,81efb798,2382bed6,5d56b8d3,f050bfdf,6da32b10,a18fd4d4)
+,S(be82742,dcafe3ca,f646cf01,80202cb4,7086e0f8,ccea3c11,dcccd9de,aeae688d,236d1fd2,5e05d6ab,8651d88e,33d18a3b,caa66c06,b2b68c50,f6158717,f23b4866)
+,S(15252ce2,3f666836,dfb47b60,1e642abf,6e56ff2b,5d58fc97,ab09f29e,1b4ec3a9,9a6b2658,f52dfc45,32e6b482,fe909e47,ba7b4442,3be4d474,a524df32,d6149913)
+,S(b0429186,21f94599,f7032b4c,1b53bc6a,9259f142,27922f42,fe774772,4b0ee9e7,e73c32d9,ede68eab,e77d681,dd4cbd9e,a356fdf3,bf066f33,6ff2c367,59bed08b)
+,S(5fe0917c,1bca66f6,f34bdf1f,dad88a5,b3dc5f5e,2e0227e6,5f3a79c8,9e66c888,885dfcee,c0947b01,71dbaf65,52c09ab4,c0414f8c,7373ec5,e3080521,401ed575)
+,S(455985e6,44d9b679,85980752,a13a3f94,94bf9cc,8e6f10ba,fc7a70c2,27ce272c,47eadad3,15e88a99,9d3f5ce7,792ebc10,2fc68f18,cdfa1df,564601f6,3b26c22b)
+,S(3562aca3,2291c1cc,ed072a4a,85fbf82f,6b3299f5,2626154,2b41840a,1c868d4,ab4b2656,11db5875,10c48284,7f72c75e,f822f46c,2e7760e2,a46070eb,5db7100c)
+,S(54225801,f82406ae,74416373,7408e94d,d3990eb0,60581c47,b453a859,cf63042c,43834935,a6a7acb4,9c086391,24e80fde,72c0a876,1c13a340,1a4e48a5,d96f6a2e)
+,S(3c253039,fc8278b2,8135e21,700af1e4,dad4263e,ddc867cf,a3532499,c2c1e48e,ee01ce7c,f8c56c74,1b4b3593,b0cb90a5,9c59cbe6,9a48235d,1295c1d1,ac657081)
+,S(8adead1,d898eca7,9e043f71,aa735a32,763f75f6,f6ba7a70,bc47a284,4b580972,7a370bda,412df63d,5590b3da,80365c71,1267cf8c,e3fdd1bb,91ddb981,d213bcd)
+,S(8361e522,34c8d62b,9051a95,8af3f090,4f15ee35,4b69a560,7155ea4f,69548037,ca2c329f,8cb65e8a,eb6488f2,2131c525,29df97bf,c8847c87,47145767,7f82c954)
+,S(97d65162,d96feb36,e8f00221,52c92c06,2e97087c,703a9dd7,7241216,2262807,15a260bd,bd591c7b,91bdcbb4,c2684545,4706f039,8fef8de,9173e7fc,a3f31f44)
+,S(2609f072,5ec8e5ed,4ec86128,dcee3baf,9e62bc24,aedbaaa1,eed8dd31,c9c07503,d51fcfc2,55398507,7e471397,ece94d92,e26375d2,2bddc0b0,d1b780a9,65caf2c3)
+,S(820e8f01,5b4ec57,b884dd3e,6a740d90,68fce86a,a4833636,4b65ba6e,9e272357,bfc87d52,eaf352bb,91f071ab,6e986308,4f197671,298eb614,93152f54,345ce5db)
+,S(2116bb76,7a56312e,71ac58f5,ff2a7071,1be5b711,1e9e56d9,aa098af4,b991db0,2ebd4fc2,abd618d7,d1798739,7e9b8eaf,8276086c,2a5066e7,e7525603,fbb4c40d)
+,S(e43f029f,97f4370d,65826870,3f29422e,7b81112,61364972,e26892f,77eed56f,4e265fe8,40524def,23b7ed34,54c6618e,ec70d3b1,92ff30d2,1b9b6fc,b1f7164c)
+,S(9b4ca445,5cada269,2a77f7e8,9aa3082f,ace4de3,898408eb,6a7d1cb0,8ac15c14,1446e397,d1c3fd20,283f43a8,4679e728,64f05251,b1d3bead,58aca70c,4c0fcc29)
+,S(e2abb09,c0566f51,7947f99b,2d6fc4a5,637310b5,5f9d9014,84decbb6,ca22cbfe,f334bda6,a1d9cfa8,2b18f8f7,e90b8426,ae13e20d,8834e061,ab1671fe,4f4665f5)
+,S(3579fd9,9cdf0be0,2d7e8587,2e213ed3,3a424650,5608d66f,8f936ae7,72511e28,dd93278e,ce754f69,4b3f09d5,a3c32c99,2c5f2e04,cce0a517,de750a38,ccd88abf)
+,S(f307f2fd,d0f6c0b3,12841e5e,1e17b966,47d7ca93,4ba4970f,4f9c0c0c,3ccb071f,4829a5bd,40555e18,bf80ae66,b9742249,32679acc,d0e46003,e079e2e3,d20d248f)
+,S(a462e750,9e718317,dbc72b9b,fce5909a,bdd2fc36,d56a525,97d3adc1,fe4b98a1,2f9ee390,13b70415,d2e6de97,7aba55ab,1f7c6f2a,a5a7b541,a7101a62,f2799836)
+,S(72ec447a,245624d1,1e1270ea,1c4c060d,c6501f11,70c69f4b,229bb98c,e7c47804,cc32a876,33bb7d62,e660ba5,59cc1804,10a51cc9,dc48a9ae,fc3d8225,35fb8ff2)
+,S(b97345ad,2a7eedfe,71ae185,11a3e2d6,c431e628,363e01a5,21622c17,e92b32a3,2ba1cb4a,abe0aaa9,619ea819,4e5c0222,3bea32fa,e4ee3378,ba798472,19670e2f)
+,S(f417f269,de287f06,8a74a330,14331059,73ee691d,a7f5aa1c,4e00a100,1e2ccd56,1bb297c9,5b3fb72a,3263f126,719a82a6,b8bf415c,e81f6838,2c8b3a9b,42917584)
+,S(cdf7b5d5,f7632248,be1bcc1b,61f56491,e81cfe76,1ee897c6,fcebdf4d,109b9b41,118f3f6,32f18892,d37a2aba,1c8d22f6,587ad56e,eacef09,b9202005,75ab7b11)
+,S(3540c9dd,992dc4e4,9aba8fbe,8f28950a,24921b05,e1bae568,2714aa6a,95eebb81,841d9499,7bd92dff,53ee3c86,eafc5f6c,6ffac94d,3161ae86,2182caab,8d5a9268)
+,S(70f4ef3,37a5519f,466cfdc7,ae779588,74c9a9a1,9a558550,8fafe6fb,d61decfc,413476f7,78f5d377,31aa712b,5c866100,bcc2a33f,ae1a078e,c5e5cbc8,4b7bac5e)
+,S(d08990b7,ad5c205a,e5be2700,63bcf8a7,e13c2a,73dbf321,b0d9cdca,a1648da6,b0aa7acc,f47376c,115b0226,1494162e,d425b496,a2392aa9,254655f2,4db6cf48)
+,S(53d6c5ec,f59c49fa,d970611d,b8423bbb,e2f5aecb,d4575877,d903d95e,eb88e455,6a954f77,532c80c4,42f2bf65,8e9d763,617c802f,369f1a62,34927e55,ac549f56)
+,S(af7216c1,e51fbfb4,a5ec1e93,717f7375,9f15dbaa,86706ca3,6636f499,416ce194,4ed49771,f858a8c2,bad65a31,b5ea5a53,8841553b,accdced4,8c41e2f6,984470f0)
+,S(c560d2be,2f2fa6d7,3f5224e,36acdead,8d91eee3,b99a219,a762adfd,a5e79d07,30d4b54d,a96fcda2,2187a2bc,1562d59e,24ab55ce,f9cbfbb8,570cd89,4d436343)
+,S(30b40200,c728bdf7,510db9f7,a8a63792,ff70a9f8,c6262e89,4ef902b7,eb30fb8e,8c98fdbf,29f8c5c1,ce6d7d4d,61a2907,ab57b4ea,a25888b9,e8ce751d,6a19a88c)
+,S(d7239e30,814ef236,5193c19e,dc91fcbc,955dab78,45b4f3ac,be994264,2a434e1a,454dc941,4500f4a0,f93f751e,1e2d4c25,8c0f10e1,b4f0c6f,3be39b0d,e5170dc9)
+,S(60e511c7,7c8d7496,a3f262f6,376d3958,dfdc4645,73aa303e,a6e6672d,b1c21b36,bf86ea8b,c8a37a4e,c5ee1a60,d6e1888a,ac90530d,eadf40c5,b4f61a38,2ea1e340)
+,S(55cd8f35,5a242219,3b64633c,27b1c1fb,7ffeed51,c815e1fb,ebaecfb2,3883d739,b6508643,7e53ad24,1fdf4dac,871e58f3,b5abb87a,d4920057,3c37a1c4,b2bd4b3)
+,S(73cdc2fd,468a2d21,72a9e0ea,3d4a04c5,ab5fb13e,2e2ff2e0,8af5d70d,ac9bd41b,682e525d,1263abaf,f070bb47,6f754da9,f6c74d,27f319d8,5d9d2882,6d06fd04)
+,S(e5f30676,3c9f620,1c5ada9f,6d01201f,97e36fc7,5bb10a12,4cf69cee,619f07fd,611f0f16,39aaac35,5e311a18,a5dd65ca,70e1a52f,452bed2b,3382ac03,dd50546b)
+,S(c2c21323,b156ca78,5e53c41d,10bc235b,8e32e4c8,ee377fc2,42d089a0,d2a27d84,6b9f3faf,64331dda,d25d603c,d8f334c8,5cefcf5d,3bf640ac,96fe3bf7,71ce9cf5)
+,S(599ff1d4,806aa8c8,b1440a92,9e2383bc,efd9b16d,899289a4,a335dd06,7e63d9,459cb346,7c387470,1b86aa34,c47b8214,7f48a0d2,7b9098bd,2b53d7d8,93e25316)
+,S(f02ddd62,a2456e7,b4a90bca,1cb01e98,8b0a09e,62c90154,42db0f52,b635b006,a5666540,6cad4d01,aab99686,90a7ad3,b1ce936,957c317e,57bdb763,b8867583)
+,S(f332b89d,1977afdc,aaf681a5,19bca58d,59852f74,78572346,b688d55a,d55a34b,988afdb1,afa1041a,51ed913d,d780b21,5dc90b8a,b5ae857d,73df2883,50ca78d4)
+,S(d6fa4679,4fd4d05b,d6b7bdae,22a970f,8c3c3628,ea0d2656,55c0ebf5,2f1b3a73,d9f47018,86512ff9,9c4691a1,60b62e2,616f5c8a,fa2151cb,fd6dcd80,308ad947)
+,S(2a13e09f,5c00016b,d974d62f,2c7c7ce9,e46fb142,e7334f5d,98fa2428,e26b25f7,f300cba4,26636d5f,7f8fcb2,bee6e5dd,b9697cdc,9f9c0636,b02b3fa1,820ca235)
+,S(c6480cb1,c1bd41ff,e57cbf57,ea854158,36284048,e79dbb51,44a59027,13d13ba0,fee7ee1b,1652e63d,ad49736,8505b302,f135df7d,4a2f8720,74631646,244cd43b)
+,S(559613e,8111c9e8,25fa96,aeaf4b2a,4019ea61,4c67446d,76305484,c9a4d7f7,cee9f4eb,2680a723,9187d407,f39390c6,4fed596c,b40f58a3,aa6c96e5,c8c9c2af)
+,S(3a95b2b1,e6d19b19,84dcd59,501c33c2,4ca50b59,d410d99d,b9b6da4d,b1dc85ec,7a802198,a5c61542,81669bc0,640a8f40,6815d25,3bf8090,3ed894be,a1b09c72)
+,S(5ae541d,b816522a,5d347339,713e92f5,25a637dc,75c9d9b1,5d834f2d,b265c2,e98a115e,f76b2102,7953f65f,cbbfd29b,a79b43ff,8cd6813a,b65174d2,b03027f7)
+,S(88b5506a,72d681bc,d34eb118,3d6a7fc3,77e7f496,6d4c65da,bfa60a18,210ec487,c29638a6,ad91272b,3525ab40,1ebcd1ce,ecebab3e,b506cfec,e7e9df0c,6ee40501)
+,S(2942de16,93ce8b88,e7e45657,daf88b2a,2118fb7c,9d2296ed,a1725ec2,f7d408a5,778f43,8b4f088e,fb99cb1,819fe6e7,55b0641,8d8679c9,d684faa5,16970f5)
+,S(25c22037,e5a46e15,4adfcc47,480a088f,fb53410c,dea814f8,a4f2c387,df2afd0a,45cfaef5,5c5d3742,3380be3c,c38e6785,c85a90be,7cc92fa7,a390bca6,d3e7b3c1)
+,S(b1f78a73,d0b935c9,80cd8ab3,b8237e3a,df5a40bd,5f875f7f,bcb13bfb,cc45839a,466141e5,d465c35e,37f80e57,c4923c84,c3a3ba98,549cc8f2,db6e0dde,915293b2)
+,S(39405322,a57a4846,d8b42bb2,58f851cb,5570295d,71ded6cf,b803852a,8b4d8304,c81047d5,92fab5a8,c6139ffe,6887d966,e809d2bb,ee3a10b4,5adc5587,ffb302b3)
+,S(7faa8352,31e2c6d5,b331ada,5e175954,6142b131,5347196f,bbc5759b,dd6add0,8779b0c9,2c176b72,5355bfb5,ccf5f739,5fc82ae9,48896a38,1be85e58,c48d154d)
+,S(b786c145,61fe4677,54e14766,56d33daf,adddce8,e86e09db,ea93f1a,2ff0c3c0,4c5c35f5,99bb9637,75b4d61c,b30da8ad,a4e83a56,2cf7d2a1,fc22f06a,fff92aa8)
+,S(ea4b9a9a,b4b509da,d1e70ebf,6604d624,8b6b63d1,c905720a,648e208a,993ce4fb,f5ab8356,ce28ccb,b6f1368b,344e15dd,372d732a,d8953864,21ce415e,6f0a92c)
+,S(c986010d,6339bf7d,2ae3e9a6,c977b9a,a2033a42,14a1e9b3,e700abd5,428e2491,4156f13b,a68ebc80,ad12efe2,d5a0469a,a41adc0b,1dceb765,f651b4b6,b652a85d)
+,S(385b81d6,e023164a,3662209f,5d694910,22e84b5b,7034e8ea,346941b9,c04df428,9d12b15e,c1868f27,362662eb,cb3c9bc3,1626ef22,36c2d75c,65e82c75,7ff81a2d)
+,S(82196a55,104624b7,6710b4b,864b738d,36ebcfec,55226aca,990474b2,58aa978a,48dbd01c,5af9b1fa,21d88b0f,f6b994a8,38d47755,5ad85171,1a4e3d0e,14ab1914)
+,S(dcfbdad8,34d74f6f,9df6c143,abd6dbd4,57f954ef,6323ff77,3a19c367,8d6616c,698d3051,8f8d7ffd,b45f0bde,c32c22e,2cb97acc,a8aa0aa9,c16d8789,a128c3a2)
+,S(343b04d9,babecad6,5479cf60,e43350d9,8c56f989,69eeca59,5a5e97d,89c25489,14d00978,2729ea38,a79765af,ce78ff5f,16ada59e,9d275274,e6e0778a,facc25ee)
+,S(25af2270,88a6beb,7c76a80c,9e87a412,ed166a71,d65d5722,a082e57f,8ac7bb77,d01d89c7,39508a84,5ea64e03,697c2867,5b14bbc,fb484f94,a530e57a,cf19ead9)
+,S(1292823c,1759fa5e,48d0724e,67c93df2,c8ce9fef,9124c5b5,8a477aa4,dd3f5e32,c481025f,ece1bed9,26ecd3e0,3cd7eddc,3cc31836,a12855d1,639a85df,7c69650e)
+,S(ed92246a,5a5cb2a2,1618deb0,794ea013,20560b42,273638cf,afc901d6,2ff0bb6e,3675cd33,825e611b,8802c746,9cd82b97,b659e31e,c31ceee6,681a35d6,2d5097c)
+,S(8174e89c,9b3666aa,69ed3bda,6c73c572,ff3384e9,60863f87,b7d346bf,afd553df,154d75ce,caff95ba,4b5b7b7e,9ea99dff,499a522b,f0252691,cb6b92bd,98182d0)
+,S(54169816,f0440f73,1f14de95,e7ab32b6,702c0183,62794ac9,e55ad632,95c4484d,12e541c3,ee64efd3,b5b8781e,bcc5e273,3544653c,d8b55d51,fa3f887e,d8f42465)
+,S(c654d2a5,e31ce452,739f9cfd,b2784d37,eb974a4,fda45fad,13a2aea2,f7fdee9,47c9d2e5,24e7391a,f645ed92,cb04a0e5,6aef0362,9b57d593,edc85b1c,686ca4b1)
+,S(59724a3f,eb1a1cd3,7fd6a5c,57c3d055,28fbdf48,5102e709,7ac35912,3f9c2ed0,4df18ea4,c0de4053,6bc5a6be,2df794c3,2db2a9cc,19367473,d88829a5,8603010)
+,S(d99168a1,3fbeee0b,6aec4b7b,a0060649,1c4ca151,1cadddb9,2ab3478a,325b1073,c2b0876f,528de53a,f2f695b9,b8225fe0,4660a447,c9e9bd9e,4ba5e52f,beb0ce6)
+,S(769c1b07,c26b402a,9a4b60f0,5bb0b318,d20f65b4,e941f525,43a15697,5a8f876b,7880299,413ffe86,94a76f26,9acde007,6e64a753,94701bf0,84324215,debf3d69)
+,S(6074f53c,ddf9467e,b9fcc4f7,ea4b18ff,777abd8,895c9eb9,71195a9d,57b1b1ac,de1aa32d,e5488e69,eae8a06c,3c89422,a26f819f,af3cd9cc,762d7fa6,1fda3094)
+,S(1f9ea27f,3e9e789b,1cde3fff,94bf8046,f5399046,867a2f37,2da59221,e85c655,c47b5ce1,3d399032,89449260,7db3f7a2,52a74084,20ab1846,fa378674,1e7bf7dc)
+,S(c2551e26,5d3978ce,49cee376,ac86a0ec,7ba10804,bd894019,e79f51eb,ec9830c3,23dc4415,10635bfc,2af8f85e,c4cc59de,fed9e9e4,198304f7,e57a1f42,736871b1)
+,S(2ca9e4d8,3358ea8a,40bc15b7,8c06169d,ed7a5abd,47147972,45078e94,75264d20,f3324029,9fe328b7,ecd14a11,6fd82bf6,5d925532,85a176a9,b7ec892c,ebb2cd94)
+,S(e0db4052,8e3eafca,1f514b26,8b673afd,277c5aa9,e2dbe85a,74478d6a,f2ec1f94,f868c782,40dd75ba,3c6809d2,d62f80f1,ab7fead3,c67a90d4,ecc242c1,687376a7)
+,S(d34cd3a5,764d99f3,16a260c,9659955,fda3cd9c,cb305f73,d3aaa61,27d422f3,3f3b80ef,74bec102,2e442e69,8fd4e28e,514d3a9,5011ba18,1299793b,b760da72)
+,S(588dadd0,79d2280f,37dbeb16,3e05a70f,48ec61c7,cf3e6455,f3ea312d,4ab2e075,731a5c9d,f803c2fd,b22de461,d51af493,5874b745,4ab8417a,940383b2,9404fa3d)
+,S(1731c955,931905d1,ccad3bc6,133f5d9c,9fbb10c5,e800be80,643ed02d,6d7477b1,d7e89b3,1f18ac07,6c7b7380,64d2449d,2d9beac,728ffa8f,6d8a7498,d43baf1d)
+,S(e2f990d7,6818c0c6,e73d066d,5644e9e9,29f495ef,507b18cc,594871a5,88e45b46,2ca12307,fb565d0,7c60b6c3,e92c9757,45777970,1733c0ad,2b299a20,8f50925)
+,S(b92872d8,a146c0da,ec576be7,35a22896,5242cc61,ba37313d,31b0e5ff,21a2273d,8178dd34,e552e97,fff949e9,b101b44d,35d6b57e,79c0e78d,f91ff3f,2817daf1)
+,S(b980d2e,9440c3c3,be5cf393,6eb9634e,923cbde7,bbf2a07a,d7a97287,7d6caf11,51b7d51a,8685bf75,c6d376d,441dcd69,cac67b77,762f6ad6,97a9649b,f3d3719a)
+,S(db2f9a64,3c3e3706,e9b5aaa4,5ebf08f2,ee9e967c,205a49c1,7dc76b8f,b20a3a52,d05d486f,ab967e27,b9e8c175,e93df203,4657dd,750ad788,1bcc4897,b80f3d40)
+,S(5d5985f8,910be82c,538d70d8,9614ec3f,bc9e1f91,9a19950b,a8fc99d9,203d92b5,3efd77d1,27e43849,a710d1e5,7b18b681,c1acb293,2244fa7a,30f360ea,88565e35)
+,S(fac2a758,a063dd8b,46b41933,9c70d2ed,3807bdca,69d3b36e,6369f8b1,23200866,8294340d,6154afa2,d7b730b1,301f5ab,322bdcf8,6fb5676,78fc47cf,b15809e3)
+,S(cb92092a,d45ab0b8,559846b0,d02a0c67,a13edc86,7d0cce5d,fcc09e63,d1b6cbde,d2593de2,6371136e,390bd52a,c9811334,e13fddd4,e9b86b1d,942cacf5,4615b287)
+,S(d715f4a3,66a4a770,bec8abea,49ab6c7e,99e9473b,73e479c,14011843,9470c844,40aff69e,ec6da9bc,38ec119,df4482ff,3bc2b67d,31284db1,8c757990,de6cd0d6)
+,S(77312617,4a395a4e,f7bad07d,f2f38843,22293a17,ebf09f20,4732e7f1,2c418417,602cca39,d6352365,420c5ce2,9d2282cc,5d8919b5,e0669b09,22384b69,7bd48a7f)
+,S(a7c4b675,f529ba17,e9f1ef44,c88a8066,66131845,dd98da82,4cb04f24,518a4071,d88edc2a,1eb0cd48,57283e3,f8658d8,2da27a7c,7ec16129,78fbb484,41ef438a)
+,S(6362f575,d459b970,db814a7f,9a142605,f26f577c,4357be2d,dc16793,64906f7b,fbc9f007,bd08b6ef,cd49c1f7,1e199fa5,ede01123,5d9b015d,515bf7a9,7192f8c2)
+,S(6cfc45f8,515813d5,dacdcbd4,c34c155d,c66b0298,8b8a8702,73a5342a,9249b623,f85c980e,394ea0b6,39bdc5a5,ed185de1,7b1f44cf,b7e51c7b,b9f56b3,496b5ee)
+,S(d76c0b83,b8a8a8bc,4e8985da,f6f1535b,9ff3b4fe,e13eed4b,39d6426c,87cec8f6,15ddc103,bc6c4f43,6f7e23a4,78e47166,e3f4156b,5ad2d581,7f3a7ade,7d80dcae)
+,S(c4f98324,57330d12,e4e26735,464f24a9,a93dcf75,9194fcd8,a2d12ce2,bce0449,e24a6f24,f9a09aa6,f58f29aa,f4e24a0f,864410cd,80280432,d82cd9a4,ea2ac2b9)
+,S(e86da865,238fcc7e,d8c2721f,89c2619f,a2caccd8,5e05a21d,8d23a095,634cc439,85b35268,31871eb4,3323caec,13de6de7,94ddc6e7,5d44835b,7443137d,25ee2194)
+,S(a6398918,6969469a,939e774,eabbce54,109b833e,b3dfb566,876cf50e,bdc7613a,c48430c3,fa8c730b,dccb53,451b5a38,888f2e85,1f510ca7,64360c9c,b72b6eb7)
+,S(6986ef9e,88c8dae7,ecc8184e,a4c5d131,32a87ad2,ff8367ee,63fa0ecd,b7a2972e,e9acba9a,896e1eb5,bc1d2625,983fd2c4,13f54b47,3056a893,7197f940,92eb4bf0)
+,S(47bf849a,e428bdde,ceb221ab,e0ea2fd8,c0a5bd39,175aab96,c2fddc57,e809527d,401a7ba5,1999aead,4dfa6ce0,fbad17e8,e7187e52,806a58a6,7033f653,67aa7c02)
+,S(c0c02bb0,92af6a5b,73582a14,89067933,8b31318a,f2d5b142,d58833b4,cf07fbe4,a19dff69,5ead3a33,d8f9f7a6,76b8287f,4bf6b23c,6761b084,12d86508,830f8990)
+,S(f2185913,405156ab,22baf16e,644063da,b3ba25ab,f191efee,1ff028e2,f7d175e0,814c64f9,9a4250be,2265cf8e,47c8276b,9e5245cf,16ec98b6,b789dd26,be894f3d)
+,S(40d840cd,ac4060f6,de850df7,c37462b9,b4d5892f,a1e74f35,89ab3955,a5d941f8,9892b0dc,ff43a872,6974705e,3a3fd077,c2b91a2c,1c6ee153,7b728359,d3217833)
+,S(6f6b79e7,9006fe48,5546c3e8,52a33dd1,cfb63f3,96b44d1b,af1fb112,93271b35,f5aa0beb,50a628b7,b5348817,8344527e,d1ecf0ff,a0766a78,faea2361,e8fde7eb)
+,S(4edf60c8,c0488128,29e7bac8,7b03ce49,c8df0f1e,6a3e02e2,ea8ad097,f66163d7,9861393e,fcec430c,c00ccd49,3d4e2d2a,a45e1034,fd9a81e4,b015bd5d,56f16dea)
+,S(7ab0c44f,f6a444c4,e0feb1c5,a6650c37,26249caa,38f53e62,b6bf225d,bb1e008,e7f9af86,a2839ce0,80c6ee9b,d86529eb,7a7abaed,aa6aa4e7,207e67e1,a500e5f0)
+,S(6a90e50d,3dd2f382,1dde8714,57012b3,5c1103b5,80ee4982,f9bb78d4,2541f8b1,5ccd34c1,8455aa76,4cfe6c9d,61507ca3,cb613bf1,4b9eae3f,8391e1a0,9dec03f1)
+,S(289d4d81,cccf40af,a61ef56c,242ef8a2,c9883267,54139e1,dbf018ad,5d251df8,f3fead19,c49de6b4,32869220,7e60408e,dcdfad25,26e6e555,9b022941,592081cc)
+,S(a1ee466b,c561919,2e82a316,ac3b7514,b109f442,1c93fbeb,234f5862,d37ade3c,db12d4b7,246e8ee5,55dde2b4,9b5c42e7,408eff9c,a853af00,5a6f6c7,73aff21c)
+,S(ab30a856,403a1622,14be9837,2ebaa8cf,8d946074,abfddf2b,8e65e2aa,51554329,7a6b7f22,a6ea52be,8c0c8002,29613020,a247c026,86eaf960,7fc56cb7,d696c56f)
+,S(17c5f1b8,8e3e4e08,dab8a5c9,2a679c05,688a7437,df6336e8,7b0d22d5,ed56e5b1,96068e6c,72fa9b39,5993913b,305caf70,3186404e,17131b5a,24e14273,a83dccc9)
+,S(a76fbdb4,b99e31ba,c434462a,64c0557,8e961a53,dacb9bd7,68400b8a,823190ec,52e31883,5ac1a3fa,e269a4d3,17bab065,7e890844,c3fe96c6,d04fa015,89c89f14)
+,S(17b8bb76,10476261,ebd75e4f,299f1805,5c88f36d,ae65cc57,3c959820,25bb794d,1bd9a52e,585a40d2,67db59c6,b9b1bc59,4b8d5344,29b5d4b0,82bb1c9b,b54e0392)
+,S(65aa92ba,8fa51cbb,3954b93d,68cfdfa4,d64d97c0,9e099b1b,d1ba853f,18500b37,a2b12d21,b7a1ffd1,af48e4fc,e80c6fc2,e624783c,7b0cdce7,9f01ae7a,5fc96e14)
+,S(3450bcca,5d3b30b0,3743f0d2,6b61ea09,de6ef7cf,eed44b3a,c58641ab,93ad7867,4fca3307,5328a298,d310d447,4806f297,3b09d885,9fa3b949,11817d8,39be66ad)
+,S(484bf072,134849c7,695ba73e,5f25a8bf,74a183f2,bfe35ad7,34b53878,a2036be4,a5295452,a0830b3e,3c45043,43fe950b,3289d402,73d3bd49,6c0cd7c9,156a1d6a)
+,S(2cdf1bc8,920ec641,63fbc8fc,c72fe5c2,dfcb87ec,15725e04,163e1ac5,1b7ec763,c680476a,28f054a9,ac3a073d,67ceecf1,c8262ed,4bc462bc,44798e88,d0e48e54)
+,S(59c3c60,8031a214,d3e6be15,c644265c,b6f3526c,2b37d840,86532c24,52359bf9,2248b28e,922e0468,fd98856a,41ca37ec,2fc7bcf9,a13c7a9d,b4135e28,5cdc1bf5)
+,S(4f20493a,a7a1e558,a44e54e3,b81c889c,d45b6384,9b8448d4,20a34a31,c7c451ef,bc1adcc0,d00384e7,93c2433a,a76f1f08,b8b23170,6e285d56,3155dc19,d5aaaf1)
+,S(bed9949f,dec9813,5bcf76b4,83117fca,57525221,8a6a52c6,a44f2468,29d48ff3,6ab35499,8cad07f6,250dec89,a0840192,b62777df,6e241a4e,325b0c4c,bdad23ba)
+,S(1cf32b2c,46deaef6,fbc892ae,4f05653a,3cb69d0d,821a7125,3c2eed77,4e75f767,caa6268b,b8574b47,840b3626,74f4a479,5a2c6478,c440aa4c,36d88a2d,ebacc8f6)
+,S(9d3f7c5e,5e0947cb,d9bef5a2,dc1a3e9e,ac22d6a5,9071d0eb,5f270100,3e66dc96,6ad63f62,22f3a787,9544c330,4c3ff653,2a00a764,5ddce01e,c4ac4933,a5c7aedf)
+,S(a5a927a3,f03dcbc,b3d069ec,156a6ba3,474f48cd,4828f54c,a673e10d,265eab6c,b5e360fb,39f65847,b63eb29c,a8b403d3,272d9ef1,8127d3f3,7650d13a,9a5736c4)
+,S(48de778b,7bf72a21,871ea379,c02b8887,5da9688,37faeaa9,93e68eea,926db673,d25cb808,7a7c13b,fbe8b1d5,522ac2db,6c44526c,13ca0327,586d6a5c,1aaca91a)
+,S(a029831,66e7cb1a,fff65515,48faf447,cee8ab2c,d4937269,db002cbe,b8f1d1ef,ef34ec5,42554e97,1ae8897,b049097e,3430c99,d8e93c50,94377c07,a5619ea)
+,S(6ed75b96,c4e976cf,75cf0b72,df83c043,5b15d2c3,f8fb319a,94a4d97f,1394df6f,9b63c36c,1e31becb,e1a5a6e2,1abb99d0,d5c39694,cec00fd0,ffc27b53,309bf6eb)
+,S(9372c1d1,6997f792,688a55f0,8f246cb0,f206ce31,d0f416c0,c81cbdd6,8487aa5f,ff97433b,be60eaf6,6f19c182,e8a8bbbf,b24cdcb3,7aabf79d,5dac9f13,9c5033b4)
+,S(269c7d84,b42f90b2,f39b4db7,5ea0724f,fa6a1a5,4c66a1bd,a21e4254,6f243bf6,8f6f8b36,e278c6fc,bb0c9918,7325f1b9,75ec3add,69708be1,b4703c5d,53d8f8f5)
+,S(62f9cd79,921ec46c,d470a12a,9619ad4e,3bed051c,14f47071,e55f9da7,d103793c,92211db,6c846f43,2867b9ee,3b1ff00a,a08f179c,13aa7475,d64d0731,23a69e4a)
+,S(fa432dcd,e7e3b40d,a127d65a,e0955d58,a009d81b,46b48745,c4e24597,4e589a8e,a8dee557,cae7e50,d96555ce,c56255b7,c64d10b7,6639b3bf,8d60aea7,58716f68)
+,S(a424d18d,c6861074,40f42e5e,f2bfc95,f4c8f94f,e3adf681,79086502,fd9d80a4,cb30797e,1d973012,d488f54,6033b1b3,d6b50c8a,39badf8,fcc12bfb,3a1c4d0f)
+,S(c2a6369e,e2857d2e,fce4ab31,49556c08,3ac6af90,6be418e5,ddc5677c,f2f7ec8d,a7097ae2,9fea3774,11ce3f81,b6b3356c,9a2abb69,986ad81f,46b13f8e,a0e7f0a1)
+,S(f5eac1a2,3dc91862,d8022931,3be5c7a5,364c0880,23c0650e,53e22f42,2f91ec98,7dd62b80,3ad606c3,3d8d9bd6,cb397ab8,1cbd688f,8375a405,23bb7315,a3f48c24)
+,S(dd94fec9,3bf7ec6f,cfa0ced9,df31a1c,131c39d7,e110b5e7,b988c59c,dd594fec,cb858565,6a32e03e,2eb84732,4bdfe2e6,3601148f,7bc7e56d,22cf9aa4,54f063f4)
+,S(d3dfdaab,8f9db2d8,edd3db27,d96be5d0,678e9088,5448222c,5b3171da,38fbd501,6b210554,df32021f,35170e13,42e2da18,72be61e9,481a4b74,ec470ed0,b942025c)
+,S(47ff9918,3e452838,f63eb828,a239d95b,62f8a746,8acd0b43,6c149985,2afbe3f9,33b7b8a3,a5b51b15,fadc1f9,baec6b8a,88e0da56,5a54bea6,1b2d728f,eabbdc48)
+,S(1e99e92b,aae56401,1cc10c94,dac071a9,27565a17,2d6d4a20,224e1b49,c007660,914b98dd,a92484e5,a43d7de4,7bbf57cb,2346d852,f743fdd9,15dcedca,4393aa21)
+,S(e150364e,d95ca778,70fb3367,64f9f417,70bb672f,7e794416,13678dd3,65d84fc8,23ddee4,30d7b565,cf545837,58df61fc,502bf86b,a4cbc1cb,7630a9bf,e339ab85)
+,S(44dbe753,dd822ae3,f3ef4939,a1d96a98,33e697f8,c4979191,c64114f6,71e8fbb8,b909bdb1,e6e55571,b03517a3,c2345b49,a5793d21,15fac018,2afbefe9,c726c8d5)
+,S(fb843458,725d557d,b1a17ad0,427b4d98,6ba189e5,d6da81a8,81867259,6d9d2858,18f1c9ea,bd8e71cc,72e2dcbc,532b101,c7381475,46c24790,d010a6cc,32d4eb10)
+,S(48f43c41,b63bbb05,57f8d71,edc739a9,57baed23,efe9c814,848c54e8,54159144,cb75c418,d5557cfd,b29d4807,3f193343,6eafc209,bdf9685a,72f57b98,6676b193)
+,S(5520f175,9be037bd,cb5af2a9,a0bdbcc4,9e1531c0,32fd17a4,66f59b38,6d7de1b7,45b933b4,cf256aa3,c6513a2,8a4eff90,7691a34d,e6cc2e7b,a0b83f8e,a7ed4e52)
+,S(83936718,1d7d065d,5c15e246,ce8391a4,bec58c71,7f82419a,ed6547c,63f081a9,4c903568,f5ce9a54,65fa845f,985f24d7,6e66cbe,3ce256fc,1703b4b0,5dd636c3)
+,S(66a82c47,e756062f,6586ece,86911ac2,23b84c9a,e53e5307,4e22bfbd,3eae6b30,ab2051c,4c231a40,c6da6ac3,5ee32b9,b7eeea17,222cb1d5,a3abf9b6,512db8ec)
+,S(974ce35a,9d5a4ef5,84d252dc,3c365423,1335c52a,e3daefa2,8ff9b75,56bf3b46,8c82a9a9,c49d167,4f3995c2,90ae06ac,fa0a5c14,b1c5f41e,c1e449d9,5effb2c0)
+,S(1139c2f3,60cb8a4c,e020bb8c,3d19bce2,1c6802e8,5fb3df33,8fc9ffbc,8fc231b6,59adaa14,7980b3e4,73801b73,9f1e0248,2e9f1e17,65df2ec0,183d9f81,d57723d6)
+,S(c1bd3793,3b03d95a,b17c10bf,c5167556,4294e38c,740fa3ef,9b356be6,71883b94,c68bd82f,5e926a59,95a83f1f,1a8c2f4,5966b073,91ee74a5,ae2ed99,106c6dca)
+,S(c7778ce7,ce668003,86db9263,cddcf608,aff769e4,b4755858,20554ecc,8407bbf2,92509200,9c57f224,8f9b4e71,532c698c,88b91b77,4a3907ae,1ef30c51,78d807c3)
+,S(14aa1177,51626b67,8f32418f,1855cc34,52d4ec13,d2d900d8,8a22432c,70ec022b,6151fdf4,f4372a2f,e803478c,da340678,c18a0a7c,d540b0bb,4168f9da,2edd6d81)
+,S(a53443b1,b6065cb6,abb18c84,1f171b3c,7152b34,293a7ad1,2e8599fd,f1398cd6,3a07e076,35254aaf,eb30efea,328e3ffc,3a7d280d,5cb2c8ae,9e70b412,38fe704d)
+,S(35c3e3ab,ba4c946b,1eafff67,a9831588,d6631e18,9507eca7,66e22449,f8d294fa,94973920,58f6830a,4e5f413e,4d7d442c,4348328a,5115fdc6,ae5ab638,339e313e)
+,S(1aabc2db,5ac6df10,1d097db6,26e3623b,295ae6c9,941e3717,ca849065,512a7fa,2d2781c7,b42ce42f,b40b737e,9100ea24,ecfdf58,fd724244,dd67d84f,4a6cb097)
+,S(383103b5,5a4beefc,89dd082e,f0e14211,9bacc5fe,8acde710,7429241e,f16820ca,2000fe09,2b820a28,f065924,7823d6b5,18756044,1856dc46,a9fca8c3,84913398)
+,S(2cb0f0b6,35022212,88b8be63,a0ed5d71,bc6b89ca,4b2fb4f8,54123124,49445107,9a9eacc7,cea4c27f,ac63a2be,96884112,435d5f6a,bf4ad519,461017c6,1c87b2a4)
+,S(ae63a05f,306e6980,f439afe1,b34c7b3c,1453e110,e477e3a8,d7e9ad3e,fe2af088,6facce76,d579afb1,cded78a4,1dc64c79,b6e90279,d8c5f07b,fc2b0a3c,7243b309)
+,S(83207533,78d5c6ee,ae26aee8,4f2a0833,a65a94ef,53a477b3,c8708ac0,35dbc24b,d8306300,4caf8d6,7fdcd09b,267a2d5c,b0e83e97,60fc4d8d,2b07e2bb,c2b387e5)
+,S(f38888f9,3337633c,9873d501,8b9fbfc2,ad135870,89f6becb,528ea063,a817af28,8beb556d,8e5342f0,6fe06215,891e6091,f8b940fd,b6eebc08,ded95ea0,99985ecd)
+,S(c15cc888,7d13a93e,c2411ea1,6f21e86e,4fabe47a,55a94a6c,aff7681e,d47ba1a4,5bcf5b68,91f3e01a,3754fed3,f70e5052,e33fb62a,753c5f3a,532112e7,f7f58f55)
+,S(9b3b0b21,1befb305,b02d035a,1e7cad04,3b8ce04,f9315bd6,5067a73,f2680030,75828df7,eeec11f2,e0dab801,5c75213d,cd93cc84,7e873e19,b7d03eab,e368f989)
+,S(2028eed7,50cc8973,c1ca2f28,a30c05c7,73e2a05a,db916825,60d41cea,3b4d0a18,40efea34,b941571e,98a0878f,a13c4efe,1e3410d8,d5166661,115cfd55,53bd0d71)
+,S(ca697e9f,8954a7cf,593068b9,1078486b,c8c9a71c,d1f7a890,a0a3e0ec,e48521e0,4268dc9,28ef996b,56af66b4,2f410831,b9f8c6a0,2658d706,975a7624,6468322c)
+,S(26c2615c,ebe251a8,a78b00d8,1733aa70,f8f9a97f,85c2fcb5,d9287e34,b786d4d3,ecd17c3b,e1b3232e,bde8f859,39f5158e,f8c340ef,cec4e758,cd54eb7b,df4df77f)
+,S(7296b5f2,c4ac6a83,c180cc55,2fc79a84,691c50df,8e56ca8c,731ac368,2d8737f,d4410073,1f98235e,cd75e26f,d251bf8f,f93ee806,52446208,c9643fc1,1b938aaa)
+,S(465d9610,c3f6c8e7,366ff5e3,9e1e17be,53ab9eb9,f299be2d,3d9dfe6f,fc601a5e,741cfef2,cd41ca9,4b847ad6,93f29e2c,7e0bef4e,6244dfd9,8e3bcbeb,8c3ae7c)
+,S(d3264c87,fe435796,b4d40631,a0a64a34,570e36a9,809d98a3,7ffec23d,9f3775e4,e6fa5190,b66bd281,538787c7,40bdaad6,f37a1eb3,90b19c3d,cbc65b19,9bad22ad)
+,S(d925ed62,5551d49d,151dd55b,2cde29d8,fa5dfa21,e9454c17,a834f090,7d744640,e398cb93,1c9fc1ea,d9912968,b335015d,162a04fd,c17049da,80a7ad4a,b3b21451)
+,S(2f8339f7,72cc9ff5,c59ace6f,d38a13d8,21562e0,a0d5dc2b,a2c074a4,f697413f,d09d6be4,3678836c,e110e805,68a2fbb0,b87d1657,d568d7d0,e4ba1237,dbb4fa4a)
+,S(f954909d,f67de727,72437ad4,d3229c50,8440d23a,9215394d,d09c7232,fa5cd0a3,6656c1b9,8e726305,644994b1,eed6234a,834f74d9,2fe16ec2,c945478e,ec53fafe)
+,S(962b9348,d9b64aec,7ae38297,e80a5f80,ee1ea253,6964742,99c5196f,cd58f33e,10601c5,87838f02,5b6735c1,b711141d,ed04ed16,2fdc5bb,4dc593fe,9b804145)
+,S(b70436c8,4c6e25a5,34c3c2c3,34f13350,7050b552,72a04032,84a744a8,6336efd7,1b9911f4,72a19b13,e8bad704,ad3fc911,3223a5ae,4939138f,86422536,da1009d2)
+,S(8989063e,49605ac9,78705f40,cb916505,615cc465,40c4760c,db302cc7,a9e4c6a,e76c05d8,5b32b5f1,9913472a,be4322e9,ff5149e6,e224da9d,dde930c9,948ce8ca)
+,S(9e2c1711,29d01e44,25e4d5a,802f4c5,84eaa0a2,2aa8fe0b,bc0aecc3,15fb00ae,b1385087,ff34618a,d126ce7c,dac3a7f5,1f0fec09,2a7a9601,b65c2786,c733fe81)
+,S(3a88a3cc,164795e9,cc668d88,d9ffb6d3,52f90edd,c6b0aa5f,dba493e7,273731f7,95f0b3f8,2fc2c9c8,a25b337e,af92ca08,e17ef68,ae5abcd1,43bbf5ce,d68a1fd)
+,S(f5cc5ffc,ad18ea3b,c15ed2e7,d0ee8e9a,141bcd7f,8e6fbe1f,81be287e,e7281725,ec049ad7,6ae3bc58,9a60bb7c,ae79dea4,b512fe66,bd812ec6,91fb3182,27d9a288)
+,S(c8af958a,201a29a,bf880688,89c211c6,da59b59f,ffcc02db,9010bd6,65b7ccd7,3755194c,76d6e0a9,3f2424fa,f26a512d,f0605393,ecb5216e,d5f1d452,99b247f0)
+,S(16f10ca2,a11493a1,361c80df,40066683,93c02635,78f11f2e,d9153dd5,5d6019d7,b9fbc23c,39323b8f,6fcfbfbc,b1a4b81f,e7eb1bb7,2855f46f,5379c68a,dc4680dc)
+,S(1b218d55,81d012c,5e804030,ed342308,29675ecb,e1608d75,1ac1fb26,434744dc,8ac73d03,b888545d,dd8d0321,afe66cdb,e8dd7c6d,f1fbc3d,74f7ca46,c551f357)
+,S(d16f309a,820828d5,e2d30f78,2f055428,fc8e7bb9,dcedf9c6,34640c19,7562685c,1f27768f,9a2c63f1,cda9f0f4,132f41ba,dd48a03e,5e387abc,d6c73a51,2d1b23f6)
+,S(75c161ae,1b38e93e,b623305,e2566957,a277e515,44c2fe13,e02ccb8c,c72886bf,384bd613,39e4e389,5cddf7e5,b0cce8d5,35c03c29,118624c7,32b75a23,a9befea6)
+,S(3327a22a,c4891ceb,2a704a19,e60d04fc,64cbb0d1,dbd5a1c7,bcb2f4b9,8a1d0d2e,1ef62067,d81d66,8a7960ea,a63832eb,5c6fe33d,3ed99147,b7f68eec,cf81551d)
+,S(8c9fcb52,65eb08d2,90cc1f6c,9c3d70f0,2b553119,2a0c96c5,f59231ed,370c4036,c986a64d,f3972c00,5618cae9,4a84e74f,2566fe4f,aaa0e2b4,d3f52e9b,4acee6bb)
+,S(2465bc60,19bab7e0,72bfeefd,9d974124,19bf47c3,24477dd6,c83ea3a9,e9a3f353,675034ba,c62cc0f3,afbf5027,23127859,280e2b2b,91aab521,9b48a36a,d5bcf77f)
+,S(3eaaad77,af1f4e6d,a267bce9,e7095672,c44deecc,a71ec3b8,c86d8774,ad06805f,8a3277fa,6247ad67,e6aab22f,a7e7375c,b95eea16,a055ca8b,32615122,30033ff7)
+,S(21734e43,c3ab4ef3,55d36330,adc76a02,7fef2658,92c29ea1,a26972fe,48c3528c,e1d82d68,612ba50f,cba70f17,3cfc17a5,d2d380c8,d62322d9,e6e93d3e,475ea6cd)
+,S(d21f30a1,19f86a54,2c7d74ba,20796cbf,dc6644fa,2327392b,3aaf9f9f,ada97235,22d5e9ae,2940960f,6722d2bb,c077d9ac,aa12b5f8,b9a404a,e28224d5,5b604f6b)
+,S(41741846,c3c6355b,69e39c98,fcedb9b0,73a5b526,75ef5388,819fbf5f,ce1d00aa,3978dffd,d11f4f53,ae1f5aa6,a04153d1,e9ad984d,8feffa10,9ab57fe3,f58145f7)
+,S(cca0a89e,6612524b,a9c318a6,879ef971,d346e29a,4cca7c2b,4619a1a3,1f567163,8ed2e1b3,587cb5cf,37e18db,e9a95ca5,17795137,a8215cd5,293aefd4,92b74dd9)
+,S(dd3be3cf,83feca12,c3dbd1af,a9166d2f,138efa4a,297c742b,778da203,dfff3728,b0a156d2,93dc289b,94abc958,f17cbdf5,94f04cba,15b71ed0,197e239,8b56976c)
+,S(6c535f98,868e9ec3,31135e87,b80aae3b,a0609455,8d426bdd,3dd400e0,344a3cd2,30bb8bb3,4ccc439f,c343d3cd,ceabc511,3efd9087,d17004fc,37f70d98,94e3c04a)
+,S(338bec98,1bbaacd8,8b82a53d,d1ec2ea8,aaf7fcfc,e5f502c0,a13b95b1,d5fd9000,dcda1b41,ca43c103,f0c6b294,5f9e94be,be971eb3,12f18197,b4dc795b,1efe13d3)
+,S(b70accd5,24961804,40dbb087,c3c11f33,f27c7e9,886aed80,b89b121e,8d51ada9,6272d04b,3ec35419,be43ecf,72824127,ae4fd87b,640a5a4d,8e8ea05b,5f3f9b6b)
+,S(dbf05f1e,b489594a,146de62e,c9423699,a7aa2d19,93919b0a,2a26b53a,a0f1a033,9608352e,a1abfc2f,47c42ed3,8f1d2ee4,bb28ce2,9dc98325,eb137acc,36924d65)
+,S(56e94226,a4237f18,c57b5ffc,cfe795cc,b11522e1,fc47d549,6dfad2a7,2f109783,f137a96c,7965b8d3,2eaadbce,d86abe0c,5ee79de0,9b94bf60,8d72a4d8,8cafb542)
+,S(c206cc19,28af717e,63e6e7be,781ea37e,d7dd1766,f1553fa3,2acc34ea,c1157bfe,78963ba6,f03b670d,602fdb93,d71dafc5,bb5ec7,b541b9e3,a84d42ac,1a444e29)
+,S(8b579cc3,6455002c,372bf1c3,21012fbc,c29e102a,9acb149c,93c651ef,e3dee157,9fa8c521,e2f911c5,3438015f,48134dfd,66fa5acd,8916902,c1aadb94,7ceab096)
+,S(3ddca5bc,e582f08f,ded36cce,395f4672,9fbfe7a2,c9aa3479,7fd2e332,352daca8,d77a9165,e281ae70,f1e9a265,630acb60,bcb79f30,9cd926b3,550b6c9b,644e5e6f)
+,S(ee7c92d3,d81c3d1c,6384c771,b609de3e,e4979ce8,84df6312,fff84a0a,bd5e662,f131dacc,28415d22,729f2b70,934ef8e,3033b7b,c5a38dd9,1a11e4b1,7843978d)
+,S(b9f80abf,ab86d596,521bf2d9,cf500e15,adedade8,b51fd8fe,c1d8de53,f4191222,82548186,bb97991f,1f28a93,804cd0a6,378355b,f7c7ed41,4cd585ed,af0afdab)
+,S(1ab67bc1,50fcd943,f0b3419f,e5de2969,fb4428a0,b90981d1,a3893c6,18aeeae9,56fb8eb4,4671006a,805e161e,6e3f2bb6,b0199659,667967cd,3c72ba65,97a2c39c)
+,S(17425974,39a91dd3,72c09b53,68d9821b,2acba5bf,a5440118,ddb5c494,fa0a807c,1b73d3d8,5eaad3c9,b37f7451,2a7ddd17,97e10e71,b640a820,181757a7,6cd27cba)
+,S(72b080f4,d8e812fe,b485361b,59213f59,cd708e6f,d2f7ee71,27af3d87,971633a9,5b9c6a0f,d7a6f32e,f26a4584,542c15fd,e3504935,baa7b48a,d67848b9,67229f32)
+,S(94e5f999,b8927b65,a2f4d318,8e3f2fee,229e42b9,ae3e6b46,9f7ea373,d3f11beb,aa27336,204738d3,b2a306d0,4c6efad0,2ae3a431,1da988f2,c6c1decd,b1fb3c92)
+,S(2f59f652,2f045980,833c45cf,ef8f3a37,d65ed946,9b3beaac,2167eff8,142e8a03,9101d9d0,60f1a770,9f604eae,4b4243c4,6096c041,2f861106,dc4b8d1a,d9f9b170)
+,S(95a443a7,22a88b70,32194130,a349a952,67b89786,e33938c9,7bef7fdb,d211b54d,3d80619,399c0975,a67ea7b8,9a5f6427,ac454278,42f54932,cbf71711,3ae460e7)
+,S(c8430fa0,2ce95d35,96eef42c,69f68502,100a29c3,6ddd1f46,daca1e14,4f382d0c,f26c4baa,4a6d9711,e6de2b92,5042c6e3,cadfe60b,93d4f385,d759ec72,5a32bc21)
+,S(67504cc3,ffaedcd0,c5a2704f,af1aa41b,4cf489d3,5c23b6d1,4529f4f5,c49afa03,b3858859,b3749792,4d01676c,d96fc03b,37be7b82,aee57e64,a44ba433,2fd936c0)
+,S(d4fd8a19,6a56052f,71e8d51,ee3db667,7465ea90,f8449939,be9d1814,86fdb56f,7fc64dee,2bf744a5,ba155865,fb722e11,f3087010,b566182e,8a39f718,922953dc)
+,S(12810eca,7f3087,944d3dd2,69baabcd,491113de,99b36ed0,65520569,484fa7ad,f25d02ff,81ed030f,1e67e002,6680a3df,3f27edd7,76155966,6f043f85,f82c9e4a)
+,S(b347e0a4,102d2954,cf3ebf6b,7c0e5f88,6a823cb4,c134897e,3169b081,8bd35f4,78494910,3eaf28be,b2d9732,f88dc9a4,66a8b5fd,cc50a2b2,8b347436,2e05cc93)
+,S(54cf5638,7972ba75,48dcd07f,1bcc47eb,5d99c95c,a18de15e,9d2ac40f,1435b27,48558294,410d7ed9,9fb008c2,32cc6ae5,33bffa9f,3f02f0a,76b1f390,9e78e507)
+,S(e75c0831,ab9569f6,4844f67c,3650f691,e1f84366,46a28613,653c354a,3107cdb,5e2da0f6,83cf019a,82e44f84,e7bde49c,5d477f34,fcbfc3dc,2a9a2a4e,3ead0a1a)
+,S(f9eb5462,7d88b64,5899b177,99257d92,4570b3fa,59fca83e,1e302f38,5c524693,dd187873,9fe69020,970609f8,ca1ff56c,3aeac075,43e6cc5b,bcf75af0,2932d516)
+,S(8890093c,5bbdd22d,69c91acc,5608e19b,59d2b105,b75e054c,8e873b88,59865997,1f18b0bd,e9b546a,9a2955ad,492290c1,a041b61c,7b534e1a,bcd4db3,b5148bee)
+,S(76b95d04,88c9bb7d,2cb28589,f7f3f9a,e2ae24a8,33adf557,76bc3132,4bb80168,590b3022,81649af7,bb2cb0cf,fa0e90ee,13b97294,1a7a8748,bc9ce53,88744e53)
+,S(8b3526c5,afd2a987,f8a04949,bb5695da,8b073b93,d8418878,28f9d49,2a6ff4f7,387954e7,60f2ce55,17213bf9,c987a9e7,f9b9b05e,c4677911,22e7a28e,777ab4f4)
+,S(2aaaa06e,244684c2,571785e,a77a76f4,2c4bca21,14fb290,ef66d150,74ff2658,49e3135a,3e8ed289,4dcf61d5,7e4cce47,815ecfe2,5bb1d8a,a5d067a7,924fcab4)
+,S(981b94b,be061268,c02db0f1,fbc330b7,351d6229,b645e4d4,3d908be4,241795af,c294f8d0,7b6c70e1,c18ce6da,b3d28c4,d53f3e9d,1f8d9ba9,de18cd39,51c8ff5a)
+,S(53721e95,737d09b1,49eb185a,1663999d,23429e88,51ab849,a671c0,d86efa3f,d36f27f1,9f812f8c,c9d770a4,1655ef57,efc1f126,ecfea4ac,dd5bd42b,13e20a54)
+,S(9ab129e9,a4d92118,3ebf686d,97286d1c,9608003e,67b026ee,d3d06a8a,e21c0bcf,4683a375,85be92d3,331732b7,8e12f452,480a9569,4c309907,2bbb9427,602ab016)
+,S(330ed8c3,3c3647e,7b80f38,f3a1865b,d33abc8,ecd4d0d3,390e8ab1,a20d1c0c,5e3db6e9,33d6d0d9,43cb4202,f9ed135d,ced588f,8742556c,2012989e,768dc770)
+,S(66c40c78,6933308b,9397f3c0,3c4263f0,357d0f8,a6a9eb06,725c4c15,c226d57a,697777c7,13cf3b5a,ca964377,fb124f87,81743794,afbb1966,4b126a86,9f90bb6b)
+,S(36ce2c7a,9c7f1267,c081c9b4,296a191b,951415eb,12e95b02,e5f5d3da,47809b23,ffad6d8a,e00096f3,878f54df,5cf714b9,6646b5f0,9cce0d06,ea38c558,140223e)
+,S(73fefc2e,ca71a95d,2e9d5d0d,464a7408,e38e21e,4450ce8c,51ec9d6d,79b43f52,cd47ba4d,6c2ed98a,c369ccf1,a3d65e05,758f7f70,1ca87a02,5baab12f,5b765a20)
+,S(cac2c00,567cd06b,d4e98e04,e911f7b8,7d4fcc19,28a5b58c,635fcb96,bc7c0a8f,fde04dd0,3235a3c8,9b304c97,7889506a,c3ef937a,e1dfce4d,ce29a1cd,dd385090)
+,S(f6eb390,2654aad1,1c69c028,2d1449a3,4198e774,3d329c3e,85a8af7d,f6219e1,6403deda,8911378f,7defebc1,ef7a4ee6,20802e76,499993e,15b22e42,3e492d0c)
+,S(91a7da19,ecc1a979,7d5dd222,edd74bd5,af76d200,30cc27bc,41304ef4,578d8773,a32b1a26,e77631f9,6a3dfe17,ddf16ef2,f38f4026,4d3fb882,dfb34cf1,5fee2f1f)
+,S(90c3942a,7b00bc3f,7b852097,ed4590af,cef6fbe,783fd717,9fdc4955,a4fed12a,aa7d174a,8d9f1292,b8e4d9d0,19dd336e,da305ccc,ab69659f,90011b69,85366751)
+,S(717c0973,ee959e19,6d11939c,acabeb83,607f9367,83dbfe6b,911f30a3,c51af3a4,f93d840e,88497801,223992dc,24dc976e,dc0b442f,2f845650,4903c9d8,338c1ce2)
+,S(831f9794,c88cc5b2,2d202130,3731371d,a0ab67f3,c080cfa4,d958e6db,aa85d140,46ed65d2,1c8b5565,14e83074,e84267d8,43f47154,8774533d,cc11e6aa,cc655895)
+,S(f6c7e9f6,69447c19,843ff209,72c47cf9,5341e0f9,d2d5f14e,c9b17abe,20eacdab,1bc7e847,a9f2824b,5895edf,cde746d4,5ef0fb67,b7db1637,e62d2d40,e046650f)
+,S(c0ce97e7,ccec223f,947c0db2,62fe3865,9e06fc77,99a41581,7ec36642,9d5f120a,dc281020,af95986,dfafdfc6,ce122d33,e797197e,c24c09d,7e6f04a1,c5b4793f)
+,S(e1eae094,f68fad14,5d905240,e79abdef,562ac20e,d52f3503,db34b2db,d2f72d43,71e4754f,ca9df5ef,b3b86c88,7e3eba7a,33554a83,cd68ebed,f6dcdea7,fecc6486)
+,S(acaa286,bfd582c2,c938ee36,23a20db7,5cb6f0d4,95419f33,b0b35f2,59841bad,c3eea949,18a16138,caecb54e,ac03b6c9,282006f7,14d4b024,2bad29e9,aea7f667)
+,S(87f6893c,137f60ad,22a5d543,2dc2cb2f,f2e05fac,d643839,38936c2d,206afc82,f6bc3092,1de852d4,4894d318,aaff9243,a9a521e,501ca78f,c7baa82a,3a118ed4)
+,S(9df94d49,e9508ab5,63ea1,16cc4502,aeed0bb,7b1db426,c6695da5,8da1f59d,51786cb4,a7caea66,39546ae7,5826dcb2,5abc5a76,402fbe9,b32432cc,aa48adc1)
+,S(8a902a14,5ecfe343,503f46c9,71693677,80499405,5df02c32,9446a373,e34777e3,fdfaf856,f777d30c,24ce54f9,d503fc8e,a3cdef47,e292ec5f,f98d6449,a69b3f0a)
+,S(ad6128cb,8d9903d4,23558eb2,23fa580d,e31c454c,d3985ac2,6a2854c,733c05c9,9b69c9e1,564c9271,5562d4cb,fc040495,6ca539c9,691e2f02,5f41151,ca6667e2)
+,S(c2a2ff9f,6d064f4d,551cae44,f726a8cc,b14c9742,96725620,1d01581e,5375e57b,ae53fd93,fc405150,3d6cf2bd,bb51720e,7555cb24,ef7ee8bb,9ca306a0,59563e65)
+,S(56c0fc7d,c2ae8f26,4e132fb9,3a52a634,2b80dd38,f329fe9d,1871e2c1,6529996b,5d012467,cd511264,82399d80,c7f8d248,d9267251,e4d18aef,ccb9bbcf,d854414f)
+,S(2131bb4c,5014e751,ef0690bd,562ad29c,d8db4461,9eda575c,9f0f75c2,da4e0f32,7bbb234f,7a83afa6,47599f05,8ab8f5d2,83f1f02a,8f8d5292,15c7cdc4,71f03fef)
+,S(e8adbaa7,bb0542a9,9b9f7598,59637f1a,cb734257,13247db4,540b8268,6c14a462,72de1317,fb5ed43d,ec57ebf3,dbec4eca,bef50923,a4743359,72aee4b3,c03190f6)
+,S(827e8e05,2a084162,19c8894f,ec6f31c1,a7902792,a1e8cdce,6fa5f732,4b428417,d46d9c86,4fb85e09,81bd40b,b6c3a563,8a74c222,6e7c8299,3ef6b408,4aaff5b1)
+,S(3dca9759,338dc06a,8e81218,4c14c82d,3fffc50a,6d0125d1,1af0523e,d14fd699,e6c98f39,b3fd3ca7,66ac5444,be93fe24,3085a38,7b484f28,da571afd,4b8ba210)
+,S(3ceb28d2,e59d3692,63432323,c36bd680,f531697d,c33245aa,bc7c5838,52bb8eb1,d2456980,96a36ca1,7301778f,d1661743,f43ed9af,3968e4e7,55ab39a1,6ded2d19)
+,S(47ce6c4d,c1dc8371,de44ee1c,828e4b3c,6ba040c6,8dab0802,417ecc31,1e7d79ce,2d6b7bc7,c43e478,6df00ca9,75268b3,39f0ad68,7b0c70c9,ca857913,485419e6)
+,S(ad6387f,fde71126,d0784af6,fc8a1ca7,be9bfee6,176245cc,2a18c9c1,c17f156,3233a7a,d7d50605,8cb63aa9,becf9eb2,bf8fa88c,afb2ce9d,a9236736,803dda1a)
+,S(8c9c591f,e2afc468,4b64d9c,44b92627,e70babb1,aa9f7f00,6dd5b0ba,4ae794b5,5ed4c9cf,30c7d1f1,ab31e9eb,8d20fd16,77b67152,44db075c,c9de1b49,58607617)
+,S(2d601d55,1b07c8bd,10db6a9f,516882b3,1525d819,9df56324,cef2c40c,6753ef7e,d32e4bd8,eeb642a4,38a9493a,87824f86,6731bcf1,6c4b1f42,240f07fe,ff075a2e)
+,S(2c67af99,3de02d6c,b9db16fb,7fa99fd3,6e32aff3,69e855b3,581af5bd,cf8f81bc,69fc1c49,501a76b6,e21abdc0,27aca6b,a062dc11,5cfdeebc,b8b98ea,ae35d935)
+,S(a904b9b9,a0abbb60,4be04958,74b0bf72,5c1c21fc,1ad75b9f,99ed5d60,d1beaa3c,a2cc5370,58dcb26,6677e730,449cafa1,c0135179,4afa24e5,47b10479,a2590069)
+,S(bafa5456,e50152d3,115d40f,b9571d79,7ae8fa48,97801c13,238d8b98,b919302d,8108653b,f4f9bb59,de7e26d8,55f72103,20eeb48e,9f127778,5f05ed34,3e63ac43)
+,S(fce057b,560e9da2,7621d46f,bb709275,4a6793fa,eedfcd7f,9a782aae,e35cd9a1,c59891ce,d7c19c5e,7a841620,8d0d819,c8634bbd,2466ed60,214a726a,dbefd784)
+,S(b8dd80d9,6b6229fd,d13dac50,23f53657,3b353efa,45016033,58a9bcfc,ab61fe7f,a72beda2,c2cefe01,eaf1ceea,714b538d,8b052eac,3df84158,dd3530f8,9c5bcd25)
+,S(c676cd53,7366b97d,9a056e87,2bec47df,e2c35e88,947275b0,53212536,a6231c5,9d5fe80f,763e202e,6919c760,bc96c732,844c4c18,7e7a3a1a,a0760c29,80c076af)
+,S(626a28b9,c897481,19d6c4b0,bab6e81b,9d6747cc,6c49521e,6f032f50,36c9fa87,f8373b3c,748231d,b8aaf580,90898566,27b112f5,6697b18b,3cd6a73a,16f2203a)
+,S(d72eae41,548363f7,cf5b5b9e,ab73076d,650f7616,e7584fd5,1a5ff2a8,ce1959b0,c867515b,46c9973b,53498582,5bebdc1a,54181a33,74b507e1,f0aa21d0,7a6c0e0f)
+,S(6e34489a,4ca57c6b,f3b8a98,dac3b2a2,995a7bd,f90acac3,b81d56d7,678920ea,efe88e16,e60cdf2c,3e6a07a0,ad323e7,ff9e731b,26f9cac7,87bf43f1,b3401169)
+,S(a8214f4f,1ab2d150,b66eb9e6,f64ea4f4,6ae08909,9248663d,8491cd2e,90a56ae7,5d252b54,ec694068,a0944f8d,4e0ead5f,2cf0982f,3981240,5165b5a7,e4d628fb)
+,S(76591c34,fdb90d13,14c5f85,e76e18c3,aff3aceb,4385011c,d4a74bc,b36f775d,f13c54f9,c32fcde6,94d29b12,f2a8d8fb,a99d19be,80ed9a8f,903b33c1,ae52a447)
+,S(17d22fdc,c48ec732,afd7bf62,7fd09d22,d2989437,a8ce1950,3acc99f,ef2c0cf9,3bf80fed,48c4c2f2,f25ccee1,9a717067,976f108e,b1cee625,1fb6257d,f1788384)
+,S(2ffd19a7,f46bc028,9b11d7d8,2b391091,e08202cd,95c7a4f6,fc351713,d3645b6a,807ee1d7,af310183,fa9edc73,4c098b90,5b0d4021,6c19b797,1429725a,5763d01b)
+,S(63496320,c4eaa16d,ca4ed516,bcbae7cb,124af3ef,10969329,dfec9a92,22f143ab,3ce522ae,ffd08245,d5dd6ce0,17ea6915,aece97b9,9314d61e,2d4e9fbb,5b92406e)
+,S(685a372c,ead446b,6f8797c6,dbbdf442,e337a200,1b09c03a,84dd523f,674c1e31,9436ad88,7c61bd79,d0a73f9d,1d06ca0b,37f19511,9d9f9f10,6a6d6d97,f0654d96)
+,S(d1aa115d,ebf2ca79,61b1a13a,9f8f2f38,8367280b,c36f6208,15cab71,d235b866,9dffc173,6590390d,a2f3239c,f85ac4c5,3e842aa1,3ba035ac,2824a269,c7c2a487)
+,S(d12c58f,5e20c6de,34a27270,d29ed5ce,c2a36ac0,8f2a1b1b,69cdf2a5,d501bc3c,cf7bd006,5bedb875,bef1861a,335457ad,66042a17,c9249006,60ee461c,db0a7de6)
+,S(95d9af48,d2d3ad22,4ca83889,2d7f14a0,bb4770d0,42ecca6c,d71b9278,79e69898,39e47d1f,6acf9570,5755c560,22a8faa2,e961b25e,c5ca36e6,3a5ecf5a,e54a48d1)
+,S(6e4dac4d,1b6d8404,e84152ad,f5d49de8,d269c9dd,1c66136c,65b8f78,5cffec16,62d1dd58,22c06f57,f2ccefca,31c318d1,175a3c60,2aad99f2,e5c63e2b,c8e33afd)
+,S(d026e847,3e8eec4b,d9ffb21d,49c13900,34a9a66d,5423174a,40c8b4b3,4f6fe060,682d65fa,cbb29cc0,91a290e9,305e4615,5a5d472e,16d37c7f,e06a9a40,f578c58d)
+,S(683bda54,87643e28,8799658,baee6ec4,73ca9c66,4a76c302,b26f5762,877e766a,d3d80b37,117d6b18,c04174aa,2aba0774,43fbb78a,2649eb38,e5798935,75fa237a)
+,S(fe2f54a1,830a0d86,ba30acd7,d208f6c7,22e2deda,4e554a5a,533e8e07,dfc76f8f,6a6f032b,5bb03b33,3b28e6bb,30b2b04,305e0aac,cf53e2b,53f215ac,2f1ab8e4)
+,S(2486b52c,511b2499,7ef5d49f,8098f596,568fbd0b,756334b5,d5f01852,191d677,ef82dd7f,9dd36f42,55b75292,40af86da,bbbdeccd,6ebb3197,11fb3432,236f5ccc)
+,S(c6fe27cc,79f316ca,5a59acd5,911963e3,bd6ae911,c50bfa1a,f2ae8b6d,69ff8ef,70aa6fed,ba4c57ee,5b3b33ec,ab6efe75,e05b8b43,41c3a7b9,bca5053c,40292101)
+,S(be4ff208,8334d043,2d35c9f3,806e516d,fae58bbc,d2f69565,ec461006,99af2be2,49de6b17,c8636af4,25ed00f4,228ecdb0,4208d18e,b5c9c194,d6714550,26396adc)
+,S(c5789253,316faa6c,2f87f888,a8fa4312,42618ebb,37a5184e,29abf20a,e6b4aea4,77647e3a,e083159f,afe92726,6c60f666,12e4fd31,ace116a5,11678291,185df958)
+,S(27d2c091,b2212a3c,b2a827d0,951a4bea,6994953a,cbfff146,cac83f20,f164ffd7,e9fb5899,d757055d,f0e273ef,c38cf691,e958c6e3,943aae43,85f77a14,8189eb92)
+,S(94d45ebc,ce92d10a,3294114d,743db35a,8e2ddb7b,7f5bee72,7d093c89,15d98d45,802386db,bd731bbc,5dc793e4,88fcf20d,15be9024,b94d1d19,edf99ea5,ab1c0acd)
+,S(46739c9f,6245639b,692a68bb,8587499c,43184d0c,f0ff467,7b264985,b4a2fb62,9f8f41d7,2eb951ff,17d4517a,3fe7dfed,556aeec6,be518188,8c39a57c,913f7da4)
+,S(5c9f57b1,baacb2f,67f1bdb5,3fc85aa9,3293a2d9,d85d1f2f,f62ff40e,d26e8c30,6bcc8a89,7ebf12b7,2f397b5d,ba072f3,c91f413f,df14e441,ae2a2155,887c1527)
+,S(9ccb3d34,4c813c15,e9b85517,95ddb04d,c3c790a3,a1ae051b,60202b56,b735f3fe,e24525a9,fa784ee6,2576fa15,6ad350b9,eb5802f6,e5d5bbbc,7f4217e8,73f85916)
+,S(f0826eec,162f343e,4cd7e135,df33219b,507876ef,5d29fa13,d8fa2326,3e7ca425,649c1d78,6547e29b,d266f2b3,cb70b823,8e71d198,6791fb09,a19ee4fc,1823e02f)
+,S(8b672a2e,1b76096c,80b87519,10b6a09e,1b7204e3,ec139cea,46aabe84,4302dfa7,33f05056,ab88de5,e036f8e8,5bcd51f5,423ef431,4faa1015,7eacfd8a,9db71787)
+,S(93cb8f71,9db52708,986fcbc6,26679315,fe79d119,9f8abffc,5c02f375,8e5a50e7,ed7d055d,91843e32,4193d866,81551f5b,36b484d1,f0dd5fec,f59e51ba,57b93bed)
+,S(da506843,86019984,4004a723,7ae11605,a7132e86,55145d8f,ce9e0e50,feef7d5d,260f6393,886e1b8a,93986894,a4a98fa2,61771a46,16d04ebe,baf8bc48,29816d53)
+,S(2d469c5f,26610e4,6bfe1cc9,43cfe267,e1bd0a22,e451aeb3,e74f17b,b9ec2f76,1d702b5f,fe2101cd,f5a5cdc8,4d4a4890,6720ac6f,ca626979,d942c218,163474a2)
+,S(1ea83777,5513ab9,cadd3b53,66cd9049,da1b01c5,d347f7b1,c8a74f6f,658cd621,b9e312c7,2dee3d7e,d6e67596,70c65bca,5bec92a,2eb82fab,a122ffde,5b1c7f5)
+,S(70bb25c7,9589530e,f129166f,cac1d5d0,81083ed5,fc5b9b99,e744585a,1d6b6816,63234c19,dad2914,3e99ff95,a906a5f7,a48b3e87,2d45436c,8d987baf,a93b3588)
+,S(fd9989c8,f68537ea,a3248b19,ae721256,ba8d0d2f,d825980f,f89bb158,a700f0a0,eb76c5d4,93e52d45,5d27a12f,fcdba859,664bb048,1686e67c,e79e40c2,e0160c97)
+,S(f1c32c17,8b36e837,b058e9ab,ed3c65a7,e2c76397,4936a524,838a480d,b3089b7,dd4101fb,92488a78,480cb6af,6cf73dec,5aac619f,3bb42594,c3dbef4e,cc7a3a11)
+,S(842d8101,ed396c79,b5b19779,c245dbdb,b1ecba7,9ad77d5d,f78fedce,f9d83f33,6fe77300,9117a404,f4b28ef2,57441145,c5afc6ae,2e655ecd,2497486a,fb1ebc16)
+,S(6e9e1a2e,847fb133,cc92a79f,767a5ea8,cac887a3,16903a98,f3ea86ad,3e8cf24f,d71de5dc,12be0a35,b996d880,8442fdfe,4a6cd810,7fe29548,da99783d,9049ce3d)
+,S(f6739fd0,1f5429d,27c216fb,2b02d871,7028366f,7af115d1,e154f87a,812b5e37,15186c87,f776c8a0,3532b554,1e1b583a,5a465334,45bcf93e,dcf539b,21663c95)
+,S(c3acbd98,43bbbd8c,68f153d8,553a81c2,81dbc584,42edb9d0,e51d056f,2b80e2f2,8397a220,483081ec,ea7de090,5d063412,1dfbcc32,ce70379e,c58b33b3,20f39d25)
+,S(aa9c8bec,c845e691,a4c3daaf,a9bf687c,ad733290,32abe151,a26c2a27,1fb94732,b82dd0fb,c53fa616,74b684f9,7da10e8b,77f1f7e7,388007d6,656988df,e18df322)
+,S(3df35629,654d5b70,db9547b7,5373efd7,e1781dac,da11607f,e4f3c903,5493c8a7,56fbe92b,25cbc615,96f2cd4,10290da,239ec3d9,360b3561,4199b006,c2d2b54)
+,S(bcc8b337,98973e00,771a1955,89165cff,83870f8b,a897b8da,84c1bfb7,57168bb9,483a7f4a,70c8250f,62105842,310ed427,168382a2,5d687290,d54e65c4,c83bb16)
+,S(bd2b07e,a84da89e,bf5e39f4,d3f03df8,658061fd,8f78d5cb,99f488a3,e992b870,33ae1dde,77c5b467,f5b3da9b,c71a6557,b0cb3aaf,892d0e76,d9f34b40,1fe60c9d)
+,S(2c55718b,87b4facb,8ba9a6d,287a2db7,1b5a03cd,c7d933d4,c6014232,ec35d05a,aab1de0a,d8e3f72a,ae822bdf,f3ff70bc,bc5aa56f,1dcc5352,d1f81614,f3f461dd)
+,S(eb837dc3,b2e346c2,aba58441,8c84b20,d144f93f,841180f0,860f7280,a7ee23e,6a342fb8,38a63813,e279d1c6,94b2ed26,79c3dd21,652d5678,5f47aed1,5230137b)
+,S(827719c6,9b097381,da18519,ecefa193,9a9eba18,189092f4,89bde77d,33046fb1,e73b0e1d,76e40777,4ee6fbf5,2bafe516,f6d94fa7,c7dd1eee,b3c36f7f,6429dd3c)
+,S(2b0da4f1,23095370,1f1b9444,847ab289,5cbfecb5,800f2d7c,16e7a56b,c6988d2,fa8b4d9e,5da41962,68e10a3a,7d69b1ca,7963d4d8,cbb5fc1c,83239212,dbc340fc)
+,S(95744eb5,13436e2e,877fb0a5,20d5f1e2,1e1ab59e,15bbaf46,206550f8,d5563134,5fb1c034,62040ef2,28adad1e,83fc2c74,57344c38,7b7ffde0,d247bd35,6b5ed1af)
+,S(4c805d94,78793e63,4833e90d,d19822a0,ab7d263b,1ab67654,bb77358c,67b327c8,863cb8f0,dbca3c1e,4011928,e5827619,53df792d,449f8980,bd10cef4,472ab56b)
+,S(fac22633,3ffa2cc8,93c434b,46fb0cbb,cdee765f,e848cb50,b1dd6e70,272e0ec3,6a6b07ed,46f9b9c0,86e970b1,d2323fa5,d7d66b0e,3ad3077e,da5766ca,ac5b500e)
+,S(b9d6af71,c59f0fed,ca4ecc31,25aaa645,f78d43eb,79c22034,1034de56,f59ec4ef,5509e17e,3d7ea457,c428e10a,7e9d8bd6,69f0fdc1,165169bd,a2101d8f,6f4041b8)
+,S(57a68137,90725717,2dcd8c46,3a9b274,69c5ef27,2ae2be60,b10b96e8,e6b47537,9f294700,1c04c06f,2e2e5aca,cf4b9549,265db1f5,74b2328,ef4469b0,1c2bcb98)
+,S(58ee2a22,9aba401a,637c4d34,2b1ef408,d9f47c53,6133fcc1,de030d00,25e2f53c,d361b0e5,5ef24c74,94cb9e65,cd273e9e,73da6e50,f452f8b1,7d30eadf,32ceabc0)
+,S(b8bae4e3,f2e22824,7ac9cd8c,a68632e5,1bb13d4d,735fabb7,305a8169,31b0e34d,ae8ed4e8,6ac41b60,60ca3423,fe6bffcf,a7f215a4,7076f270,a2d1017b,887b8002)
+,S(a81d5e0,f11549c1,373b4c02,a61c8908,dd109f4e,7f0cd250,a667508b,aea3feab,8c6cd790,4cb4bc0f,7e56d928,ac362cdb,f096841b,dee9dd48,429c52e7,23511bc1)
+,S(fea67ebf,f8f092fb,dbb3110b,77d6981,efaab5c4,97a23c3,42afe294,64f4746b,1dc947e2,94b0fd7f,952a6d5e,1f5ddc9,5f0acde4,de8db93e,41f37ec8,965d4310)
+,S(4db2ae8e,6b8e674f,2d79e1a2,fb7c7d10,921c9280,d8eff92a,df1a2b02,4485bffc,8ed56cea,38c2a96f,b6e0ecf3,22b745cb,35c43313,9b3dd28d,9189a9c8,9f2c055d)
+,S(be31fba,3995348a,78303047,24ff117a,48dcf5e8,72356d03,ac059306,fc5ae314,8bf72f6b,70189284,ecf86059,affb4a2b,c7b5f923,d7c34429,6f401490,5a94061d)
+,S(e8d716d7,18078be7,78535c20,4f9cb681,e8f49ac1,85baf865,e7b78e19,58ee703,2c79f768,c6d3bb3d,b0923d19,74647e8a,966ce69f,d06a8fe7,5601e51,61f49f85)
+,S(20ae34f7,f3497d67,6b0496fa,1a68178a,f4fdd57d,15131ab9,c60bedbb,1a840070,21fc951a,2b29ab95,994cd404,b3da37f7,d21fa790,820339df,84f17b50,3572edce)
+,S(73db09f1,3c8e7bb4,48629f24,83d56f1d,a207617f,454edbd9,d51ce59f,b7ae1ec9,1e4e5175,efe03956,cce3f160,791595ad,35bea993,139e8967,f591b973,785dc29f)
+,S(14f5ae1f,af20b6af,9953fe91,db5bc192,31f302e6,cc03a265,d661b25f,8f07cb18,b790b1d5,ef6ad5ef,97ddb309,354756e,138f4db3,208a873c,17cff3a3,13a8be2)
+,S(94ec6992,d2531cdf,3a1002cd,efb12e68,868be66,b704dc26,3dd422b9,9cc379ec,d2c4e479,ce9e0227,4d9175dd,e2a42639,67ed377e,d0416101,7e41e8bc,8adf7fe3)
+,S(f73b5edf,c8d60e77,328279af,ae99381f,4ce0de22,17a4edd6,4c228b4,84816527,86758bc6,f44e1204,68555e71,786f7d50,da7f9c72,665a7475,e77c32e9,dcb13419)
+,S(94b51939,45a518e7,c602570f,863902b4,385c8e76,c335cae1,b80e1d0c,e118b573,7c285008,4d398cfa,24c5cc6d,879868f4,d8eb60ad,ffc77214,5debabc1,3f154ea2)
+,S(26acc055,2fa90d45,1dd6f2a3,9bd46a9b,99b0f66f,3e6e72c3,16e09e52,f7b265b,997dd988,5d5b15a1,957e1cc0,a45518fb,b0e1f847,d58fe9de,9be95273,cbe61b00)
+,S(e8a5ac01,959edc90,2050922f,af51365b,ecebc967,8e57cac,420faa6d,4e2fce98,2c2998c6,fdd97d15,fd0cd228,e9975064,f2576316,6e61a45e,ae532481,9dd96227)
+,S(d903bdf2,5ce9e855,60f63d72,512626fc,fee11c4e,304d249e,e13a4b69,60f95019,1027435d,bab3c246,c93897bf,ef7779f8,9a165595,a7c9c536,176fec9,1adb645f)
+,S(eea105c6,fc04a751,cdc27e40,25f0d50a,99f8d01e,1110a505,eb95206,922e50fc,b93db8cd,b914dd8f,2b57b907,4df41e9a,d8cca9e9,c3a9754b,e8473446,ef3a6c68)
+,S(801b116a,1fc2c2d8,fc8b412f,e9b1b7eb,b19f4e96,16b420ce,16f1b4b8,dad235f0,53def02d,8a6deddc,250de95b,d6a96d27,1c197d36,e137e640,4123501c,15fbaa9d)
+,S(db3b8667,1b0dc54,436520fa,c8d437cb,7a4c23b6,bb3c3cbf,dd34b605,af406939,36562d35,a298b620,f7a06498,b1032f4a,33cc3b3,ee185e0e,aa8d3e4f,3ec5c481)
+,S(7bb26eab,8b808402,a9fb3fa3,8f0e2f6a,7d82d7c7,eef75cec,43594713,dbc17706,f4f86283,713738b2,a9209e49,f82ae1bd,9bcc908e,b9565546,3a8a5dd,8d0c4b9c)
+,S(e89fe301,8d87bdae,20fee2ec,7a3f6cd6,cf932d20,a026e1bb,a82f9c63,a47b97d9,92a7e80e,e7657ad7,c72f471,8f0c28ba,acfc748d,a6090026,1191912d,32b8a498)
+,S(c9a10a8b,14d1845d,be6eb6a8,65cd2ce3,a4d0be4d,fad24912,b01fed8f,8bc812da,5852b791,85afd22a,6f9ab486,91340dfc,e9979cf0,bc9732b3,637434a2,25001d71)
+,S(257df2e8,cf535cb7,954b52dd,7e3ee08d,24cd4415,d1075dba,8f75bf74,74afad3f,f72d1e76,d4da3c0e,5b41fa82,28639f2a,f4e114c4,94073ddc,3e8fb2aa,f82596b7)
+,S(3c64aa9e,548a430f,a815bd54,713ed69d,bc32a0a1,30ae7ca4,1541ff21,a5314886,8377911,7426e30b,dbf84c57,b110cc3f,df5acc95,7313cbc9,86e895d,6e0ec912)
+,S(cd509f83,3b65a7f9,671b9239,c5e71323,f183e956,2c2c115b,751046a2,33424ee9,579243a,c7fbd433,81cbd0fc,4330d087,cfe0c41e,449ef82e,12def6d9,8977338f)
+,S(27adfe4,febc3501,3ca7a0a0,b5f7e525,3768df69,9d236f63,9ab80782,c2d426f0,97cb4e7b,73b065a2,499a1675,88fc116,be5606f,80619d42,ddb63286,4d20521)
+,S(ef5bb148,98dd6802,6f25c363,16a34acc,c6131851,a4efe8af,219fcbf4,13a45207,49f30d08,291e60f0,975c93ec,403d2a14,3742aaeb,3777cb9,87ff38ec,b51967af)
+,S(58df8d45,955e923,ec7fc327,f8081ec3,7ca6e261,7fdf7785,6eed51dc,95057034,cdfca79c,92dfe719,2ec63f6f,f93d211b,d7cdcf69,4deac173,d3393fd3,7655a310)
+,S(2a4ca8d3,fff5ac47,bce452f0,1587a769,443e66c0,164558b6,301a6a2b,d3d44270,ed73b405,521274a2,3abe589d,c5ecd607,b6467691,f81e3c9e,6a2096db,2ec82366)
+,S(84bafd1c,7c6072cd,fce244c4,8ea004ad,9b8e1765,bb8796d9,118d6dcf,a5ac58ce,86ab8db1,7c26c921,604a3c3f,f0155a2d,14bd7274,16f9e319,efb68f50,2b636c00)
+,S(c3785528,7cc4e3df,f5e95951,c5bc5964,28705a12,10927e89,890726a2,ce00b657,302ebd13,5643eb43,f0bd14c3,65e385a4,c9a177f,96595054,3c3d96db,69ee8f79)
+,S(c3aa3cae,efa22927,56c72aa,53507474,50f7a64e,2df1bf64,333d0402,5dc87d25,c2eed94d,ff9c5cac,248f77bb,9e189302,286db019,64214d71,1a199119,4818ac4e)
+,S(443b9c8c,7d8c4f7e,de7168fd,666e79,5da85e6d,6c0f6448,7d349de7,66acff4f,2d4f1d59,b0d1688c,9fff0f2,f80e3434,db72d76e,6ff886f0,63dd63fd,e192b01e)
+,S(2afe7ea8,688081e5,ee8a4ae9,87aec6d2,ede5ec3b,ca887bbc,1461709c,bfc6e5d9,5c319df3,2556ffc2,56194b7d,eb46dcee,59208922,1e55c384,2a03ddd8,78add90b)
+,S(c62004ce,4d82ee0c,e2edb82c,e0ca98fd,413bbf44,55b96624,a86aa252,c346af6c,b68e4fb6,88f78331,bc2218f7,6a5e43f1,cac49fe3,4c5302cc,d6a3f1a3,258564c9)
+,S(f759c4c6,e0bd72a3,9aabbb17,fc62c900,d57e0b5d,ab9ecce6,8f439025,2b17cd1e,6dfaaff8,5f9f3990,ad2c55f1,3c74e3aa,aa0f10b2,90def714,229cd3da,d5d18d98)
+,S(b527a6a9,d27d0a1d,5adfc1c1,35308e5b,9a805638,132f61d7,e5e60709,ac3a9d9,e387f69,62ad151a,d920c82a,739af00f,628865ad,4ca42405,efd87e89,55b91042)
+,S(ba23656a,6b0a5c57,f9a00d6a,9e6a331e,cf0c8097,3675f41c,7f0172fb,caf4eb02,b48ac68f,1a108de9,18d76d4,95a811c2,b7614aac,3c5f6b18,f28de8cc,7bd4041b)
+,S(ad94ec6,fa161fd1,60dea3b3,2c63a480,9f7bbb91,49de206d,8cc61306,dbd18aa8,5240858c,ec88a022,7c1c12a7,862b4d18,e5acb344,5d66bf85,79ff9fc,ba866a4e)
+,S(db4cc48a,de1bff28,c8987eb4,d00e1c5c,4c49fa6f,125d213d,bd814c34,cb81adc2,ffd64cf7,3c62c097,a2cb3b84,c62bc32c,54fce797,74479146,7b9a2cb5,d6f821dc)
+,S(27d276df,fa39d889,beb0b586,42a0e479,8057760f,c392d052,6751f2bf,d0c75aed,c670b966,575401a2,a790440b,e5e5db56,2914aa74,e8304e3a,407aadc5,c87e12d8)
+,S(7663e9d8,e34b525,b336587,eba3678f,488f95f0,6e9a6848,d2e72d35,36b569da,472b1c5a,8ee189f0,7a06addb,e6a8d90c,dcb87039,aa35e896,79143547,34e2786d)
+,S(b2c81e15,1c1f8ef6,51ea1810,97eaa280,7e3b4a96,fbe210eb,b49554ad,6e0c0c4f,2d914319,f5ff59f8,c7038de7,dc70d1fd,6c4434ca,e5c0451f,4fa99f46,55bf8e4c)
+,S(25131e21,9406fae4,ab96326c,7bf22892,1f18aa90,c52f46fe,b23f90ac,59ca570f,2e8a380c,eed5d51,6c190251,4937aa0b,1f39d3e4,42ab2537,e9e8d9aa,396e4c20)
+,S(c2694b68,8e33025c,fb9929a8,c7ccd1c4,7fc5811b,9658ecb0,f41e4558,5d9a0c3e,c443d593,e68abc49,cbaa92b1,757ab2ab,c30671d8,4699a5c4,85a30b05,6b1ca701)
+,S(8d528cc5,17a371bd,9605d8f4,e7f030fd,8a82d489,5bfffb9e,fb11f63b,be534fd7,ef2f16fe,64ceab2a,d261bd1b,314ebc65,4b4127b8,643466a8,f367b991,d28795d)
+,S(409e69c7,62f856a2,4b6e80aa,baec8496,33b75c21,8943dbd,7280bf,e917b032,7f049016,62884d22,dfbda29a,c8061b7e,b82eb94c,13d7efcb,77531f8f,980babdd)
+,S(82c9b4b0,2451fde7,8ae877c,ed9af540,1ec0e258,119e27d4,1938f71d,ebae71c8,212d6e4,99b91fd6,372db1a9,4ce3fd9,c5443b7e,fb37a566,f0c5f54b,fd8edae8)
+,S(6c9fd728,37a39ae7,1f0b5852,e5c09d7d,cde66ec,e8f19a2f,2ab46fdd,d17c7f88,430d3385,aac729f3,8ef5ed,922e709a,73df8e70,eb9cdb83,c41e5958,272e8687)
+,S(9f012582,e527901f,ad1f350e,1a64702a,ca1f6670,e693bea8,fc3eb0fc,2c090329,a2fa07ae,c15e9457,b2c75e50,56c79a6e,a4c8f431,d3c720f0,60f7b5b6,da6e3dfb)
+,S(6a1a49b0,7b2b61d6,474834e9,953aa455,63910582,57db16bb,406b600d,bb01300,d4b93b7f,66ace505,cbbc2326,ddfa2fa4,ebab145c,ffbdc2c0,606e2ffa,9dbb41f4)
+,S(981d0638,a585970d,4b12e577,95e76c26,1e10d65c,c5a94f19,43560d10,472fc9c8,f9babd66,3d02e030,1fc0ed0f,75cdaf94,fafc18ad,2cc68db6,d2eff7ca,e6c013bb)
+,S(7edb47d2,b6295063,6cdda3d7,169b4296,3616b6dd,79e2e148,609a7722,476e564d,179a20ac,a6deb286,76fd466f,be78c3b6,789d31b4,91622149,4d7d634,d4bba999)
+,S(51867800,4bd8a43,8f180cdd,efa17ff6,e16e29e1,e5fc4ef3,f5fb9bd0,bbf14ae3,306cc2c8,60ae5871,8632f94,c9acb7,321ba1f3,5092a0b5,72c33b9a,cd8cc956)
+,S(bade1926,d8b0d136,69e056ea,ea46b2c8,2bf0f0f9,a25bc481,8a40ca8e,201500aa,7ac76679,c9807217,ee802773,dde582b5,6f0a4b66,f6e21764,285a6a81,4d584502)
+,S(87815e7c,d1e5e88e,eb882b23,955de59a,d63f14fd,457a8d96,4b47a611,b3e40043,ca82343d,8e2eff9e,314ababb,15cd03c9,6fe6660c,421af876,63500d49,ade0d492)
+,S(77d815d8,886cbf43,c1b4ce94,253e93ef,767bacc2,42ba7c1f,bfb7ffa5,308d855a,a8bb3f95,37ef9a77,ad7e282f,8ae05ab1,8131e59b,46a67c3c,7e85ca00,a2d3e1fb)
+,S(49079a0a,7d9d9add,3a17ea11,747c8baa,d0922a7a,e766e5e3,fb80ae0f,dbb7d6a9,162b4e23,58f03e01,b4e09264,8cd0657c,f2cdcf54,f6c25d5e,fe7330ce,421e0093)
+,S(28d61211,c183ccc,2b08168,5a4487d1,57bc0714,d3ffb16e,96bf0768,ff8075da,3da98c13,a2d1b07,2ddda165,3fb68a21,aad4a9fe,b4536dc1,507dd78b,7e51e0a8)
+,S(40c34a4b,6196561a,d4591c49,df51b8e0,4106e545,26092e88,72018720,41448080,7a6e7478,3ce7d82f,b83f15e0,b74ae6d4,435593a1,67da6f57,f2e285fa,8c107e4f)
+,S(88754e6a,e12e77ec,21e64cc2,bfaee207,f5c882df,80c8b15e,983fb1aa,99037c2d,5ae10e7c,e7464c69,472ce85f,5183a836,6ed5b3a9,1fb1af7b,d5078c76,2512f37c)
+,S(8bb7094f,ed62beba,d628ef9a,84a0679d,7e0d2b45,a655fa3b,68d9a6ef,b24c738d,9f5370da,993a3811,48ad4da6,2d7845ce,4cc81766,f26189c,2199ca73,4312d102)
+,S(79814e63,7bf2cfc1,cad39a36,b06fcc4,f7e865b3,ab2de1f0,c786f9f6,40dd80ea,aae4d149,f1e44635,e4800962,f533eb38,5f067114,3bfb87ab,9e68e27c,b56df226)
+,S(d493573f,93018d4b,8599b54f,848c3afb,816e098b,8e218e2e,6304baf6,c726513,383c7ff9,b3ab6472,ecb80f72,2f70feac,7ff26989,bcb6f984,628d5eb6,a409b9ce)
+,S(59599fc8,7d6a7532,5ce8f205,204596bc,4cec40b2,f3eae8ca,4530053d,1b7c731a,7a8d91e5,5d989961,889949a4,bbb71e17,84055697,b396a011,eeb33889,88f0681d)
+,S(4a834ec4,da3c9afb,c62fec5e,898aa2c9,5a835e60,ef199346,3e4bf255,e32df096,8736155,ecbec836,e8d51d79,9176a5c6,6672aec9,548aa63,b7f5524f,6b20cf73)
+,S(2142b447,f2707c37,45e877dc,8039161f,d222c69b,9236592c,c1b3f56a,d30a975,9a48f0a7,1ebfef1e,615a7d5,a9decf8c,70764133,88b0e57e,da554257,256e41d0)
+,S(c3831b8a,eb58dd77,e21762c5,f2e88035,63fa8b1d,f5d1fab6,3d012fbd,27971797,45d1f565,6fb2779d,6ae18e96,4d9bdf61,924a5f6,a7dfbecd,2224f1c5,70292f46)
+,S(a09dd11d,b78332da,663acf08,c08b3d45,d0f4740f,5df66e39,d53e6c68,f5654040,649959b5,bfdfe8cd,45fc89b1,ea21cff5,94f6083c,da8f5e5b,94525d22,3e326217)
+,S(53b22e4e,8a17b408,6b119087,2b8fbc9d,fc667b40,223ecd99,27cdf4d2,a9dadaa,87eb7fdf,b9c6e23f,e7c6a8d7,fdf94438,88c6c0b7,1a3728ae,ca8e83a9,4403bbe9)
+,S(7de0aeb6,d3c264c7,f39b087a,e62dfb5e,aac6fb17,483bf33e,bc34a903,f0ee35a7,43f92307,6a2205a7,f2f0737b,2167863c,43f3cec2,ea3abe32,9bba3792,6f070847)
+,S(ef20ed3f,3dd1cd8e,a610f1da,64086eda,a4a646dd,e2bff224,ae72f069,f341b532,c3477d8a,a0acf4a1,e9c83a1b,c890e59a,1b739a82,55d3747c,7403034b,221fd0f3)
+,S(ab21ffa5,3c7baab0,4ee74647,5a5e5800,dcae9a10,644c84f3,a108cd41,cb0dda53,3a02b102,dc21cf05,3abfe19a,2747f34a,35ec6347,ccf02880,5aa95119,110cdebb)
+,S(ee8aa184,532ceae,2c3a5071,d905c6ba,bd1982cb,391151f0,fa869339,aaa50ad5,157d9d2,be135082,9eaf2c54,94e6f90f,8a82ad35,2d486dc,58068cf1,c96a421e)
+,S(6b234cdf,fed7575a,f1cd7ac0,76c4251d,5853718e,2ea07c04,77959afe,5c0af2ce,223c14f3,d3d61375,d104402b,bbd51026,a7644b15,4f4d254,85e9a4a6,e8dc2831)
+,S(e04eb879,7821557,a875d846,75496d9e,420ac3c8,6e718e45,347a616d,7616e836,59f33383,8354990f,2189cec8,af523611,df4a1b30,3001c5d,84e1de70,bbc6bf31)
+,S(6b8c79d7,791e8423,788627b7,a99be936,145a8eed,178c8bec,affa8a2d,72965da8,28fece24,22f67bd8,a2d6ef6c,66fa51b4,c4abe766,7480b520,4f77bd8b,2e3863a8)
+,S(d21a9136,eed220a9,708c09ed,2b22f5f2,87868a1d,493f6ed6,2fe9a455,42a4da0e,efb15959,cc7a2c02,7ab7f5f6,ec8a538e,91df38be,f78de45d,dabcd8ef,9b5394b)
+,S(f950b37e,a5bfc8c7,a76ebefb,f228043f,de066a1b,cbb30688,b73e085b,cce1ce6a,6bc569cd,609a15d4,28ce7874,53ab8d02,fcdc9c50,c8c44016,ee2b62a4,16849616)
+,S(75a72a76,520a5f29,368338ec,fba063c8,977548f3,7bbe08a2,e1ff5e97,88b9bd3e,41c140e4,5e2be58a,dee8af9b,e64cbe8b,4c82860b,98299d52,3b27737b,3266f978)
+,S(4474da75,3d9c68d7,2218648,1ce835ca,4e17220d,533adb53,38a1978f,cdfbc3f9,b5e2d3c4,ae2c8276,5a337068,58e76666,52a81638,27cb6b94,3d2b80cb,36ad3eb2)
+,S(e3f3e682,fd38b067,33f3e91d,585f3ef2,aaf90409,ca125479,b93039fe,3437388c,aaef5ad5,4bfddc87,f7c3f969,94564ac2,27e6d5ac,ffd345ab,246ee2d8,60d9242)
+,S(140ea6a8,ad374157,396b064,f7a952f5,358ff408,951895ee,b66b6140,d969afc7,2f340af0,b08a67db,e6ea7535,581b763,24308f37,6015de2,a4dbfa64,1990cc78)
+,S(257c1e04,2fcceda7,9aac2bb1,1f01bce9,37b445b2,bff51fcb,555395d2,d0c16b89,73b21d9,75bf23f1,aa0efe21,5141bad2,5a235978,e36645d,8503a60,3956cb5c)
+,S(c243452d,664d2610,d1acedb6,ab5201b9,cddce44a,b9320806,4824329a,e0b7a550,50607848,db2b53c3,c9ed2b4,8c0adc28,322d2e,1b30c3df,1ab9dc37,64b001ab)
+,S(a0ae37a7,3aee0e63,c0ca3e50,e59a660f,c7ced178,10dcab26,7f91ed44,3f265fe,8332d25b,94e0555c,21ebab61,cd209599,bab277d2,fb9660f1,f237c9bb,4327668c)
+,S(2e4886d6,678f10a4,460b4ca4,a9964125,413a739c,64b6abb9,c44f675,1b47dca9,96f6bb70,9602de31,1be57a61,966c8227,e5dda6c0,48d3f1d3,bb5bafa,fc1e8de)
+,S(855b47b,efa7dee6,2452a602,980258cc,de813ae4,6f580a46,d5d18432,5b423f8c,c27f5513,114fea7f,b5a405d2,3f25915d,775ac895,7fdc6e74,2d968bbd,d86c181f)
+,S(dd360b5,38fe460f,9d6ba828,e2ac7973,46dc386,de05022f,fe48e891,a115e2ac,8fbc127c,d9e79454,a0be9bb9,cf25b7e2,71a02e7f,b4c68653,b7e08329,747cd68f)
+,S(993aa6eb,47f7713e,e6c5bea8,1a65af55,1036d0eb,3df8a6f7,e091c16d,3f424c7,8478497f,a774307,d47ed357,35462f3f,a680eb87,fda11107,275c1883,e859ee34)
+,S(4828feb,5e3abb4a,2df7b990,e20e1214,804ef219,4cb8acf6,cb8e85b7,5696d961,d8d2636a,6b664b15,f371ab5d,3ff31279,f7c42678,ff380ab0,9c220b02,6ecf3e3f)
+,S(fb8dbd84,64bbb5b1,904a2610,2321e59d,ee9debbd,afdbe585,3e1af139,f8fc472a,54e088c0,91a67284,6c81d136,85b4edb4,391e5121,3c4d35e8,47863018,62844742)
+,S(851fc8f,cf378f62,5edb262d,e0360d2c,2e9566c6,93abea8a,aec29e5c,275ecc9f,dbe6025,e9857155,83b38b7,a167adff,da70398e,85223a6d,9b940fa8,30a9d9e3)
+,S(4d5d07c4,23079d83,d001c000,8c76fb6a,e03bb39e,325d5794,b5414b,46c6777c,d1c1e970,5b80fef0,8450f941,1b8d6197,21f1491e,87745c26,9458d58c,18d14678)
+,S(8164d5c9,cc72b489,b6a54e8b,d9cfa9f,8496cd34,3a227a74,f37948f9,5d35340d,90b51776,9e8c68c9,20f5e948,755b4da3,2b294bd3,eae81da6,e0c0b287,ce229bf7)
+,S(19a42dbb,9ff7a400,aa821c88,807281ee,ff7df5c6,e047cc51,9693c191,6145e00,369e9596,903c35a8,bb38f4d2,a74da3c3,cd2246d6,b0391e98,e01d6101,439a1018)
+,S(7299deb0,a9b7bb52,76c8acae,37ba0ee7,bbfc9c0,7845765c,136cd762,7e7b7f09,8a0a1d16,f00e3090,cfd9cae,d8aed291,ebc56d97,66a131a1,4fdcf6c9,ce6b49bf)
+,S(12c7adbf,112e7718,a3ec6774,1597d6e9,87763a10,4350650,e6a804fa,507ecf6c,b3eced7f,bc3073f2,5f86d647,6d822b8e,eeeab7f2,1b3263be,615517e8,ef3b1a64)
+,S(b2d76aba,c1af6c6a,b4840b34,db1125c8,d5baf2be,90dc7e6a,52edbf79,a4b0ccf6,92938b87,641e0886,3f22f5ef,e27f9b18,80210d14,312ea6a1,eacaca0e,58c0f73f)
+,S(818baa52,8251c326,bf545ff3,a56596b,58e0b525,64ae359a,c1d5199,4b52106a,9f8b4753,a7b56b26,e0e79b9e,9ae5f30a,64d0ce27,5898bf3,c0f12e43,faa69681)
+,S(e08080aa,21c9b6ba,da128bad,62dddd3e,e8e5afc1,c460b997,45eab92b,b1663a80,2b878efb,95a19892,8b3609a1,cdbbc1ad,d1530a38,b528539a,c52fff24,2c382dcc)
+,S(7a8486a4,1d774bb1,32321247,f7b87964,1b18a621,508f5376,99b31798,490f3e8,ee8c3085,5c3fa5c1,6f90b68c,89944aa8,dcb824c8,c37a0feb,ac796403,15ee96a0)
+,S(f74e74f1,6e67c1f3,f5952373,e53cb85e,650a6dae,2302f495,f6882b9d,e2b71cea,1b15103c,8566d2ee,cf5c59c,dab607e4,97075e30,1443b75,42620545,2d1d2bd6)
+,S(3ab4150c,cdfd6793,5f8718f0,dc961126,114a5d82,e1791c2d,48740425,8e8ba004,2a6c6f1b,9b546945,f9d327b1,437b1c58,30a48eef,6a14887a,9d8ca24c,c6bc446d)
+,S(effec0ed,bb80580a,7bdf80cb,38cf775a,43b786e4,2c80d73e,7a254216,ed7ab7c9,c7c27bd9,57c996e0,42ceda33,2d0b5972,91ae5725,6df77e82,48bb1716,127c582b)
+,S(5f49ea21,4d80f735,fd5f51d0,55d4e2f0,fbf0f804,a8f32615,340bd6c1,65a059e1,72e0f032,83684df0,98e740df,bcc39d61,6956ea36,275ca5ae,dbcbd682,510496ca)
+,S(2327c29a,7f906,4cbfd900,43d28618,5c555bb9,bb64bab1,c3e20417,4cee2591,db1711bd,ac9095db,39e3d2f7,d2b84129,41dc6f8d,116115eb,7bfe710c,13b9e41b)
+,S(12f2f427,64f77c84,f8a97c5d,7743bd8c,cd0c6132,5cd10fd1,76975a97,b447991,713e4660,cadecd98,3b0e4986,855c2c67,bc220334,2991a18c,bb0c08f6,8282b246)
+,S(cdd3eb6c,b496141c,b99bde6e,a66b2c78,7264e6c8,74efdda,5ffc53e4,b3292a08,d1270d9,7cd63394,b385739f,4da31dc0,80f410a6,aee164fb,8147b7f6,9f2f1cc9)
+,S(2ad4df2,1ff316e7,ce29d76c,da40cb7e,31aa7e14,49fce23b,93f0d096,e1b74159,972c77aa,160c98d6,c64dd9d1,4a0cedad,875e09b5,b0d5378a,7311cd2d,a7d641a5)
+,S(df0ed61,d6c8f906,f970b9af,b4080368,2f12127b,e318575f,8e2111bd,514c33a8,e9e67c4d,7b1b0fb6,fa0a4640,62d72f,28180e6,bc8bef1d,60a1ea79,2c4f259)
+,S(9572faff,160577b1,83aca01e,45d61647,7dfe147f,a6ae0b26,ca0264aa,23d2870f,b7de270f,572e1503,8a4a9b3b,706eb7c0,2a6e5e56,ab0f73ce,9f4b7926,a79c5c5)
+,S(52583f1f,1d51acb9,bd25b63e,158f66b9,8e021432,427efd5b,bd629594,ba951264,3267373a,94719487,344c9af6,1eb4b726,a595bfd3,41d78b33,f3db8897,7e53427f)
+,S(c95cd125,7e59d04a,6d953d7d,f68089c0,c29b6a28,90ff264f,74b469fc,af7cfa58,f5c7c7fd,82d3fd51,4031ce72,657cffd2,da83d072,9b0c4d6c,66180214,9e6ac90b)
+,S(67a190df,e1a2bf4e,cc23972d,24d1f13b,803a9b4e,5c1f3cec,55d2c2c,3b0b2487,5c35f795,c29a2f07,74ded776,72ab5a7d,45902f50,e76a229a,212d580e,5edeb8c9)
+,S(7ffcb588,ee9192c4,3bc5bd3b,4d0c8211,28c3f2a0,62ec3b0d,77752ada,69f468e3,9204301a,fd0ecd0d,26f49878,47c42c70,e526f7d2,e69a97f9,2aa1c357,d4140a8a)
+,S(7d693f1e,6e35e062,83f35910,3c1cdd8a,5279c4ad,ed0edb63,d6c574ea,322e91d6,a9042da9,ff323c4d,46b2b40a,1d44970c,92e3cb32,ddd8dc21,d32d609,c5611888)
+,S(7e0e5dae,8ce3c883,49a9ee95,fb357694,a7bd48d0,f27c2eba,49896e4a,3da04fab,a397f8ac,dd4077f9,58d7b5fe,28582bcd,4c46d1ea,fa253db5,18fe90c7,61dbaa4d)
+,S(715ea4a8,e5eca76e,48605688,560872d6,7a499a8f,e84f715e,a91d724d,71fc0f06,9a7b3eda,8b82dcb4,60ba3515,18c22f59,fade0636,dc893050,a51530d,77ef8501)
+,S(52a9c85c,ca99e4ca,50f5efb0,118fa604,b7e789b6,b589a5d6,368bab11,44c8dbda,3796e4e7,87dda75a,59c7503a,f27732d,8c973414,c1ea0a90,fb6cede8,a5066fa8)
+,S(58f1c65d,ee5ea200,57644796,a94e4a42,771c827,fe032116,657e990,b56e42e,7f12725d,388a22e3,4f191714,9f48f0a3,3d537c8a,1037247c,de0594ea,a11de507)
+,S(3ce165f6,5f569bb5,e594110e,ef91f30b,7e330586,e86cc4c8,347d1ab0,f4a8eda1,90480327,7376335,72d92c00,10313f96,9a0c5d18,c852597d,1f88020d,f69987bd)
+,S(133bb4fb,1a16b008,80379e4d,ca980355,c747683,cbd7e81d,87a9eb8f,4219a314,30e76cea,f57f8b17,de6d31e,447fb926,b1678651,e980338e,8f8327d2,648ba25c)
+,S(cb26bb35,4cf94461,c675838f,653c3844,24ce543f,32ed7b5,ec1b6b33,a2f7670a,d6f9be8c,7f3781ea,fc765264,c9e84f2f,6d2ff771,25b8d381,199b67c3,763c4f2e)
+,S(7d944d40,58cb78ac,739b85e,6dd3be5,6b08fd56,767fd02b,1d5bba08,d4639f1a,79716d18,44baabcb,aded3600,ffa68989,45920de9,1f2cbc83,e6326ed4,e37c3fc0)
+,S(c4577e42,ad4014,e1fbc0a4,d69fe37f,49937d1c,19a95765,74f2437a,d06e6589,4a76bf04,18a4a8b,af103581,b6c2cd16,727fccaf,12a3998d,52b1a095,c5388570)
+,S(c71f462,9196f35a,cefd651b,3f6f2b30,485e35f3,305dc774,21535961,60a17a0f,9ff53452,52ccf823,b83d47a1,a6a70f84,b9c83142,db0136cf,d03b1f24,6ec57590)
+,S(35acf6e1,cad058b6,7543eb60,ef4d896d,c21c4b5e,292c3885,d9e42cf3,85bd22be,cce4ea31,c9a37f8f,21e32a5f,6f272699,7cddc6fd,8ab11c0d,12c3ca4b,fe6b0e92)
+,S(c2872bec,f2abb3fe,8a258b3c,51a2bf82,6712ec12,587cb33c,a6765a4f,e3a3e448,a739cf63,63cdf69c,15c9827a,f759e0fa,f7d92112,9bce9e18,bad86c0a,9f6bf467)
+,S(50fa12eb,c3dfb3b,dbb61a16,a8b0cc6b,6e6882ae,f245360c,e5524143,27d2bfe3,873afcc9,5ed9a3e5,2f1b0515,d901e9c9,3677d49,4e64a478,11ec59c4,c3374393)
+,S(3ff1688d,65cc134e,c6f27fa2,eba78abb,2cf22eeb,57163e2a,150ed7aa,17b3640b,ec8f8f66,11d8f7ed,a296e690,63b3393e,58d8bf85,90630da7,3dc2c0ec,e9e05870)
+,S(91a113c6,c53b57dd,60b2eb66,e6bf7ab0,e721dac1,acd71d76,2c278b31,f2fc2701,beb6c79a,2fdba188,4f98ec5b,fd97626a,131f5c16,d4466a84,a9d77213,96220b17)
+,S(732b5521,e6cb7053,ebfec5a9,c5b35f47,8da4a9b4,c4bc5708,42b0e8b1,242bad45,30afe970,fa640757,bff0e825,93a102b2,e1b619db,7f7d68f1,17f27543,e72f57c)
+,S(94831570,f0146aaa,fd2a7ee5,11f992c,6e2999a4,b22cb176,dd516dbe,e0e16e5f,eb275132,385efd06,35baab61,5367697b,8bef0c93,14fac991,4a2c04e4,aaf785df)
+,S(dadb60a9,3af95d47,cebb540a,1c0aecf2,839f1be3,e264a294,bbd03317,686726b0,8b4bb755,46efb999,cddcb88a,ad5b28dd,b73ae1c6,48c810bc,cd9d0f03,c200e27d)
+,S(148ebf0f,7e23a220,52ca69ee,57237eca,6c1caf1f,faeb8718,b9b8dade,4b97be1e,32f68bfb,464ae6a2,b23ac7dc,3910a87b,89ff7042,e863ed3d,3038d75a,f3689f4e)
+,S(ec532193,614ca440,33a8275,49c65e0a,af446a21,6705f9e0,68e448e8,6e882bd4,30277366,58dd1673,d9f701ab,50dc3238,f073a297,d579cb8e,2ee51dc8,bcd44b36)
+,S(bcb65ed5,b16fe248,bddda875,28eab71f,d9357099,af71ddd2,9a8471e9,b2b26e99,ed827c35,e6e13dff,ade8b9c9,d2c620e6,576db5a7,1b1e22a0,3f943f96,cb7282c5)
+,S(de30301f,18df0e9c,15d709a1,35c30473,28cd3356,95922ae0,f283290a,638d516e,89398261,37dbf197,53012e47,6846f6d5,45a48312,bd6f4c65,255b89f4,a1b9df99)
+,S(2eb56a7d,b051e9a5,8a7c12a3,a92509d9,5da4956e,8b820006,aef166fa,92873644,30867ff9,7ef8d955,d497abfb,463838aa,c946d487,d702956f,b75ebf89,e25bddc2)
+,S(88f839f6,d7f06f85,82ed781d,12062442,66d4f9a1,e2007a89,f660fd24,ebb30d5f,29ce1d8a,376a587e,96fae37b,521a8903,8f0bffd8,9f9934d4,eada0750,32faba00)
+,S(112cb93a,8db33b09,641aef75,c3f9a399,b1808314,64e8a855,16e309c4,99ca9a16,66b1a1cc,f2255c2c,119bd0ed,a75dfe73,fe2e9d9f,3aa9a6d7,43a4b7aa,9d76bccc)
+,S(407dbfb5,53b43e95,639aa6c8,d6868ef3,2f41f1ea,70cd4aa5,9d76ea2c,83b567d7,69fdde78,a4971ce0,b05a57a3,8891691c,d1fb371f,b1322a6f,97849c64,bd7b57ed)
+,S(16fb5fd1,fb41d76d,ffc130d8,9549465f,7976a3b1,ecd6a4d,9e5d55e6,b2a6a40d,3d39a810,95904ac4,9559aa89,8fa087b9,b84ed72b,55f17fa3,aef8b32a,10e942c4)
+,S(e40302f0,6c102ca6,e6be1370,2aa6e860,5e71fd37,6c87e2d0,c0ebbf49,6fcb31c1,d32d294e,1e80cd,94925538,2156db9f,2bea101a,f652309b,8943cdf,b82d75a3)
+,S(8f2cfdc0,eadf8b00,f74305c7,892a4326,9cd31300,d716d652,92a7a36f,7f1b3b9d,6d0e726,838fd161,32d19538,147248a9,5d76c7c0,beadf1d0,b553e4b6,b7d1a2d1)
+,S(c7a636f1,1a9cf793,4385daa0,5c3f3abc,8c3a1589,7be0b49d,ae789fbc,e07674cb,4f715f0e,e52c638c,954b8b3a,84baac76,6a891889,db0b7f82,6bdf81e8,4040cfbe)
+,S(245aed6e,5fc309bd,980d5597,9380e8c5,79dcc887,a2758e13,24ed3a1,833dc820,a7980b85,c6ce770b,13a888ff,22a1356e,4136eaf2,49238c38,dd103016,f0d0b1da)
+,S(91ea17c1,d90556a3,722dffa5,631286b7,f9db0f01,e411ac16,f5203c4,1a8a824d,281023e9,88fdcec1,94af265e,c407910c,54d25f20,69d64b13,c5261f0,c157a3c5)
+,S(729db97d,35fdb72c,a354c65,a0e7f76,7bff9ade,964b1d57,a98f9bf0,39a74eb1,59596a57,7c888b01,6e00143c,63f0be1b,d86d95a1,ef59e075,fe7e377,1472bfc4)
+,S(f8cb711d,f74a4961,1391871e,d8de6a63,89679130,b587beef,f4eebcbb,9daaae9b,4c52c310,c6f960c1,53f386ed,6842c4d5,bc1b4c99,433567b0,fbc40e93,91a5e022)
+,S(1700d0a,32624d75,258d80a6,2228b6ec,91e66949,a463f3b5,16dffe43,b9fa08fd,a007bbb6,b687b509,f450908e,b617f176,92918f18,be3113d3,8a80ebe4,4ee750b5)
+,S(9f2f3ee7,70a2c422,b9b92eb8,a52570ab,b5354154,57f0efec,fcd9141f,62894132,c977d79f,ef198135,b69aa3c3,77a7f251,3274911a,73736b2e,c543a721,17908588)
+,S(86f75064,8a2b829a,91acae01,4beb20f9,aa9ee46e,8e513678,c4fbd7c3,2ac36e6e,1768035e,bd1fd375,7caacc22,495a5902,a3c616e6,49eeebe7,4377b996,30192b28)
+,S(1d4207d7,adcbd969,d432bc74,35f2fb75,b35adbe3,fa1f45ab,bf3ee074,b8269f68,11d80191,accff888,928a0835,562186c7,30367e90,91d310d8,2a712a9b,13d70f99)
+,S(f782bf74,2e55fd7c,ab249b2,1570d9e8,cfc12f46,5330d2e6,57eff609,7c3d19b6,896e9e48,a60ace9,84d07ebf,12449980,9d96639d,101b3405,59eed877,908394f)
+,S(22bde2e7,e3c0d268,f556c478,82e50f2b,634c4235,9067cbd5,a0daed53,1a166a7f,5e03a94a,5baf0f92,7f4beaf7,6b7e9649,aa578eb3,f105515c,ed670c3e,e1fa3e72)
+,S(85ef9f8e,b54cc4f3,aeed4769,85529945,7eb4f3bb,1e5849a2,aec7b257,a8a9a074,8a0245d2,f0c8eaf2,84a01114,d29c65f1,c146af0c,dedfb5ff,9e3be650,e2acaab5)
+,S(3bd6c026,63620684,4d2e1a89,2378ec64,177145d6,24062d23,ce9c2d08,4f34ca81,7f0e5053,87fade82,8596f440,3687b04f,4a2693ee,25361442,1d9712e4,b3e0c179)
+,S(364f9a2d,641173de,4a0cd185,972f6d78,75b06722,3cececc2,9bfb8aed,7ccd3311,39e7616,8d64795b,504de9d5,3049dcb3,a95fb3c9,affa2d5e,8e8cb35b,6cf71219)
+,S(8833f933,f4049c7,98493b,e5f764bc,47dae8fa,baf420d8,44c7436c,eec27898,bf615e47,1b0f1029,1afb2839,2c874f83,ae55b15a,58e61be4,12b7c7a6,13868279)
+,S(d4fa5129,4835f9dc,49cc3ad,b9401f61,97654f43,ec88f206,9a63852d,6abb4a6,f24535f9,9efed47e,80d66925,8924e56a,44530eba,a2aff32b,70f36551,1db59521)
+,S(50eb8613,99f79883,58b9de58,88c47cd7,bd4547c3,96e1280f,2806efd0,d0715b89,dff64137,f74442a4,dd0c25ff,ea968845,f9e14ff4,d3e32010,f1c64ca7,6afb1be)
+,S(f8608ede,92c5a1e0,5f61c065,606ae232,b0f81161,bcec88bf,b4f2b14e,22165cca,e583acc4,7ee133b4,8c3c1eb6,5d6f4891,b53c84ec,7bb352ec,3b6e41ff,aa6a2089)
+,S(2c00145a,60e21169,98f23b9f,6f83223a,6ceafa12,c1b92844,2a17bd63,582a4fd,ed76c7cf,c65a881c,5dd270bc,7be9ce49,c2990e43,425ccb7a,eebe64e7,eff423d)
+,S(b42d4c38,79f7aeec,96f212f,1d5bd79f,bdeb9850,ae44af81,b4b3467a,85c29c49,7bdbbcb6,1eb04e41,9ea8f9ba,dd5289e0,d718158b,63ef0599,55e3c5de,41f833f1)
+,S(a5831ace,8c19fd68,85e9b9cf,34b9fa4a,9e80eb3c,36e256cc,44cbe521,6efb7128,e10dc489,3e0fa1ca,f2dee476,5b8ab518,c3778f4c,583abe27,af293869,c765955a)
+,S(9fccb821,59ed46e9,18a407b4,967e1154,4566afbd,df6c0639,d5cced94,50e56b17,c430e829,438188ed,a443cb2c,aa7d6939,3004ed75,5ff61e57,8dbe9e64,251615ee)
+,S(c1efe41f,44186467,cc0def62,eb0f0ac9,22b8bad8,e2347849,28b465e7,1789fcc5,5d73f89f,709d54d4,e167806f,a07ef07a,7fd1a7aa,dab9896d,33c290f1,dca74872)
+,S(805c0816,43fffffa,c9055f2a,996fc2f,fa02b4ab,4fa440f4,8af5878b,4eadb694,b0a0dacf,d9b3b9d0,51ac59e2,b367a8f2,eaae274a,ee2b05d9,18cc0042,eb02b6c5)
+,S(d5da1b82,9b477768,bec17829,1c9abc82,b595bab8,6240e705,715de420,fefe498,dba833fd,df1915b8,fb43b39d,dbbd635,8f12d4c4,31b547c4,af07a6fd,75fde785)
+,S(73a2441b,1f1b9ddb,844caf0f,8cb0a91b,5adc6556,6f883026,8ceeca8f,7c6c5cae,512e46ba,b47e9eaf,64cfce27,24566bf9,ab43e32a,bb0e098a,5dac9687,11927437)
+,S(dbff750d,bed18702,eacea6d8,b54540e6,ae60ea05,85d77db8,7a63a050,806037f4,1f349895,29ce56b8,bba91938,16e842fc,f74b56e1,568857d8,2f193e02,207f84db)
+,S(57c73f7d,57c7882c,5d574f70,fa225552,ab3d7741,260bfd3c,b616d6be,9698dbb9,f633edba,f7f6cc7a,9d8ff9eb,75bced20,f865fc9e,81245e77,32db2ed3,876e42f)
+,S(6663e27a,7760f187,a1f67823,64044da8,d4cb82ef,e296f5ca,90c5d81a,49b7cc5,4df0d12,4ca9c8db,4885f8d5,18cbf06d,f5b437e,242cf86b,b11df29c,5c83937c)
+,S(83f688c5,88ee13f4,a9e72023,5169dbd7,ebbe0c68,4cb61827,3e2b75bf,5fc581d3,f76e519a,151ba05f,df5f11e6,f3cfbcdc,4b00776b,14c4598c,51783088,2b2bc6c5)
+,S(2114e129,1f65c339,d1bd4373,6c677937,4385b3a5,5dafa8e4,a0515134,6b650389,88103399,1b682f7e,9ba02fd3,e104932f,802ed44e,b996beff,7fa9523e,c9c2a9d4)
+,S(a68b163c,db6c8aae,8ddeda39,7d8031a1,394ddc36,48168f13,47774ad1,d569233a,eba470d3,4ae15c94,57ba1b3e,cf5f3d96,682b8095,f83eba7b,f319feee,6740d3e1)
+,S(a44b2a55,baa92a2b,cdd2f06f,36874d69,40416b79,20bb6daa,2bd9edaf,c12bbaf6,d06941d8,28f1092d,3667ce3d,59d23159,54d6cbcf,c0da31d5,1663a6bb,ccedbb47)
+,S(5630eea0,8fee5570,c094ded,917746e9,18535cb8,b0286bf6,f6cc294d,5714fd33,91f60b64,3457dd9a,b2a02ff,99f931e,b38b4d87,204de10,d8a30cea,ce576b62)
+,S(cc8b173b,d3112432,cd0c741a,8620fc26,ac5c5d89,e05c18c3,13067fe0,a41b4b00,8cdcccfe,b4ca500c,34dc3087,58f424f8,52517974,9a33e27e,8859515a,2f7c0926)
+,S(abe16c8b,e0c99bf4,d396e70d,af00af89,b5d95f5a,3ba33570,892d086c,4b807943,14b2bcfe,8cec39c5,826fad38,9b8f8788,51e1595b,b25b1a87,149d8627,1218e9b)
+,S(62411146,ca2da616,b557f0af,ccc2cb75,d278b07a,4dacd864,7e449ddd,cf29c09b,d081b63d,67ff0c07,5f00a3c7,2771c581,87804c1e,4ec5bf68,faffbd21,4c71e15f)
+,S(5952a672,a50af560,66de08ad,be4f5cc2,38f3e4ee,84160b1d,14534c4e,2b50ed52,f7d7e2e3,e9612005,a0344e93,454f112c,792f825,f3d3044a,28d9af6b,798da761)
+,S(128fd5b5,420f68be,3742def,c987da3e,bca771d7,af1cf8e3,12d6b3ba,df162492,afe5edc4,80c1c8b9,5580dd8c,aef14338,c09fbf6a,a1c951d3,57ca4df2,9d3f183)
+,S(6315678a,13cd71e4,6e283287,24499671,6adedf31,38841718,cf5168f,60d4bf8d,ff691d8d,c5f97f7a,f2ae319b,dc590518,6ec3bd36,7f492d0a,95cda47,9492ad3b)
+,S(50277159,4169f70a,ab39095d,d8027324,e212f78b,c3b0865a,a57f1574,dba1bdb1,e31fb30a,58eca0da,aea93548,bdeb9f32,325d6c30,69b3d936,d610bbc0,de3b771f)
+,S(51eac8f8,8cdd7ac2,46375960,c6b7d9fa,a89352a5,4024003b,cada1e6f,df389721,6d4c8750,95d6ccfd,9d8a5830,c4672c71,d414ffe7,cff2cc15,b7b5d169,48e872d9)
+,S(bd39330,76c0f542,a0590ad6,398b2418,92b899ab,75ba0065,b1ace928,b8cc0ecc,12f4bfc4,57e97c3c,9d4a21c2,ad106ee8,8cb5bfc9,92d151ad,589e90f7,d65b5d8)
+,S(bd0eb600,5ae967e,81214a1,889f7dc5,d1e765a1,af74a93,f5292758,539d6dd6,2e532797,9e6a22a2,63025e57,4805e4c2,6d62b33c,5269d35b,bdeee7f6,4a2cfc3)
+,S(b7b068b6,8ed18d80,67a0c971,a06cb3f0,5c96ad7f,371dd849,aec3a2f9,bbe23eb6,89871d76,d3e6b605,9997345d,4246087a,a3fa61c7,dd75f5c7,b2ed1e20,59a00350)
+,S(10cf2c38,643a08b,dd842c4b,79efa2c0,3b5dcd1b,c708b253,ef71fba7,f0e51f48,e37d14c,934524d2,dc562f6f,997227e1,44094184,e8342995,d5562000,34e71f4f)
+,S(5936b571,20b6dc97,ee242ba2,deaafad4,5ab83795,9f1e7390,54a0c026,df7bb342,86bab74f,b9d4f776,e82831c6,3a409237,d5923c7e,7b3e0b18,12ae203b,64fc750)
+,S(67bb9ab0,bc48fafa,3ca66493,995ea995,e36cdfb7,152d64ed,ddc56aa2,6c315896,cfa9a456,dc2c82b7,f87f4216,e365f5e7,97223d2a,820a127c,a5ee4ee9,281b71b5)
+,S(5580326,678b44ad,fb313c23,dd8a7dbd,c6869fd,70cc58b6,d20f8b92,ecfd81b5,6d343687,f3dc733b,55dac794,c895e5d5,9032613,563f2d72,ee94afe4,c2a932d9)
+,S(fe285767,53d2466d,d056d2bb,b7141cf7,e52c2b96,d0ef3c8,52c728a7,d2dd8126,f344b3ad,c8077e92,24c6c5a9,c9f40a1a,d8721351,6b8691ab,c5fa9f73,726a6c98)
+,S(12f25359,638fe4f3,97a17f99,c233b2ea,7a794d71,e677b206,aa32f251,8cef615,dd0d68e5,324e4325,ebd45766,441677de,40c15792,19d65c6e,9c63f15a,91519c20)
+,S(f1e45fa7,21bf7fb4,45fe3eed,29c26bb8,bf1ea59e,de7c1a6b,e652663d,233c3e9d,6d145f2a,c3a041a9,83b9865e,66775342,a0f8a435,de19626d,ca8b9328,797e20eb)
+,S(6b6ab442,d2623235,dcc7e3e4,85d00ade,7f219576,509c528e,6a3417a4,fefd328d,5d627367,ed25278a,6d3505c8,e13970ba,253a26a3,c605d11f,1eb345c5,56584e95)
+,S(83e10be5,d21bbef2,ed1ceb33,c4e558ce,bee76405,257d9573,51f5d90e,f219552,41f5e174,c6e9b283,2a39c2fc,4d4fc573,634a8975,e143243d,14dc4be3,434a4380)
+,S(2ba25948,9571ce20,f792129d,f43caf4d,ddd93b76,e4c8cd63,7a9de68f,f8d615c5,9469a49a,d1a814d4,2f460325,b7d58f2b,eeb85183,a370cc3,69a685e6,a87f6e61)
+,S(3fac1508,b669f540,77a840ca,3ddeec5b,b70c03b0,ff93a77d,f2f73df,2728f36b,dfbac9d5,ceb21745,a6d27c3f,d6fd96b,af708066,a3bf765a,208b7231,d5fb6955)
+,S(8996dc02,9b79d0f9,d57b8c8,549fc01c,2e1c1c7c,2ce2cd70,7a0bba0a,b3420ee,d08fcc05,5194c4bb,2d17ad54,2f9ec734,f2a9ab8b,a7dd0467,c5d916aa,10f7b8b1)
+,S(16af9433,c9baf15d,921f931e,f530a477,b04b2e03,e1e8cd05,42e20628,df7c3241,65863e2a,acae34b5,a1dd53e0,5efd423b,165235cc,69195973,2d0f64e,c5b56fac)
+,S(d82af39e,eda70e3c,f28e2f6b,b8009131,59ada2d3,854e81a9,3798e402,43d1d3c,fe03de8a,326e8bd,b202b5b9,929c2f3d,4bc8abea,a2377cb2,29cd4630,d1dc1c50)
+,S(a7ad92e4,7a442903,c2f91033,7e2ebc98,14bfc943,f2747eda,666bc813,c04382ef,ffba6b43,9379448b,56b20163,44439b9e,8d6da764,72f67a27,9c7f45a,359234c1)
+,S(fe9b9274,7b27f7b0,6419dd38,53e61762,de7a5116,48008802,681bf521,21a1ff92,f32bec26,b9d24872,1a47c65b,48426130,b8e72e68,d231bd4d,82c5d4c2,bde605a9)
+,S(8e22ed5b,e5d80940,970de428,5ca609af,872b8a4f,b8c93942,fa1e62d8,588ac5f5,6a461962,b74b0f93,afa72284,4837ec30,b99a65da,d688c161,cfa42028,2ed97167)
+,S(bd3bb0ec,bfdcf06a,62f0046a,989b45e9,c76f4d9e,b3225495,eff70685,71518fb2,5592029f,3eed8e35,727865f1,dd2a6de5,e19e6eb5,f92e520,529fe97a,c296820a)
+,S(50a9dbb0,b08a48b8,76dc65fe,6e2efd92,d44053ed,73b8c279,5b688e00,a1fd1455,4a1fae82,51581f9e,32fe8f67,5675ef70,dd7c2ec6,2a42eb3d,e1aa13e6,717df147)
+,S(6c1dc44e,67b52cf5,a4564ce1,7a9da713,c718833a,6d527e7d,ebc6b1f2,c893693,89cb4508,681d58ad,77900c1c,aeb25c59,b307c9f6,c84f1329,35e32af1,e39f8f67)
+,S(3ffc35e2,4d4fd0e6,ffe4d1c9,b5097d10,c12dc7c0,4356cea3,b5fad66b,5f3333c0,89718e69,78748c6d,e99d181f,137eb74,6e28b05f,27af7726,e86c5f5c,daa1eaea)
+,S(fe2261bd,b40fc492,99be54de,1d0bf22a,634aec85,77b5e9e1,51626d67,3f4214eb,896bf33a,5c9b7537,b621a168,f3da1bd7,dbc94816,922350fb,38925c96,5e57c175)
+,S(129b6e5,dba2fe86,749274a4,f1ec5999,b2fc682,933a1120,cb8e16bf,4f4131e8,24dce651,b0fe4770,6c78c217,f0d5ed4d,4bda4e7e,4e7ea6b9,ca59e751,b018b5bc)
+,S(c2d1b280,79d91abe,1a44c4bb,96ab548,90323054,94075907,37b39ea5,e1fedd72,6974b9f3,80edabdf,e7961bbd,71ba1971,ded6ba24,90466d1d,a5715d9f,92472637)
+,S(d8dc5f38,76f6049d,a9a5c9e9,396d287f,911e06cb,ac0148e8,26c8de93,15bd464c,701d0a43,ab41f321,b8f86ea1,b1f51d0e,c22a3399,c1d8534a,433ebc2,38ec248e)
+,S(2b1a41d7,ebb9756a,b62a96fa,57909ad1,a747dad4,b3730da9,a12dac8e,3ee4c414,8ebb1512,3f43224a,c2cb4ba7,c90ed765,5470a968,454d0c81,1ebe3384,5c6ca968)
+,S(724fe9d6,e7f75b52,7da19421,3c984e31,f63ac3f7,1b5819bc,344ea339,567bc179,a1db688d,ba1d85fb,20da08f,802b5195,163d179c,7bc60f70,4ade1f26,4e1552fc)
+,S(835b30f2,8e54b834,5ce95569,7d71b7a5,7cd4b5b3,17ee3fce,57722454,7695c9bf,f431ded9,b7ba9477,ff041f83,22685e4a,8c88c91e,15a14f21,6b16e302,e243cd11)
+,S(f5015d22,16cfe581,e650e579,c49b6ccf,b5ca4dc6,42561256,21df7fc8,19047ee6,45b099ab,febbb493,5356872c,40c06825,47aaef2a,72e80d27,521b65ea,e2d4918a)
+,S(df0b1b57,f3a0dde8,b136a92f,bf953a83,694244bf,99782ea,98050bcb,3313f826,6f7c8326,bf5f6e15,538a1f31,273adea,6908e5db,7f38f395,49284822,12124d5)
+,S(a5a24cab,96c04bdd,6e5180a5,8fe27f9e,51897bcc,3a0aa9d8,de06de65,53d2890d,4f6dfa5a,a6b44550,105fbf39,7dce3a4c,e0b42362,4a97d979,eb31324f,f1215525)
+,S(849c2e79,422d1dce,4b568aa4,c80eba4d,d8acd237,71f6dff7,40849bd3,ecdb7e41,a465929c,a3ab167a,dcc4fcb1,7ef9102c,35d8937c,fa900ef1,8022918a,6ebfe79e)
+,S(a9a98d5d,d8f8ce0e,ddcd90ae,671c52b7,1b09b75d,b4185d4a,1ff12c71,70b499a0,a4eb522e,3aad7f1,6aec7758,c9528bb0,c07184c9,e3c965f7,afefe128,bd285c5c)
+,S(8d60786e,1ec1fbe9,61e056c2,d6a57c5d,813d7f20,bc8c68ac,eea0020a,2c4e57af,3a39b0f1,6cc346c7,fc695f45,91b557b6,3c1f8500,89d742b1,60c39744,90e55720)
+,S(4710166e,65b9a2d,8de5b80c,192303ed,25cbb80c,b91c57a0,b31a38c5,5c218fd1,b4cd95bc,fa48a016,658382af,37ada302,26887fc9,8200f77c,2b8819a9,ef489206)
+,S(e2183510,40815901,c78a304,e6f0d545,5a116560,a91d84fc,157f061,5ed6c0de,6c557bb5,358454d,419c5cb5,1bcb85e7,db3b04ba,d18e1a63,a75687c9,8fd6d973)
+,S(807cf529,8730d656,e68b4aa6,5f8d8692,ce246c2c,4e668c69,b5e93e8c,d26b289c,b22a6fc3,d7ffdf57,f18e7447,38cb1bb0,aafb7b39,101d3259,d31574f9,fff644e2)
+,S(568f659d,f19f14e1,5d91f3d6,bd2a4690,b274901e,cf6fc684,dd0d8615,8dfbdd85,28eaf8bc,1db68471,4ffbfbce,30977c7,606bc591,dfb8ec02,e43a31c2,ecafbde7)
+,S(651dacbc,564fdedf,f4e5e3b6,f2dd366,37c69140,7fa923a8,ce88ed1c,a65e6b86,88dfdb8e,6f117a1e,b99ba423,89ed2db6,cd5608e7,8be2c896,334ffb8d,2e19aa79)
+,S(5a17c956,8214ae71,80322b0e,574529c4,dd7d951c,872809c6,b33ece6d,8cd7cd0d,ba4b0cdc,7d7e6ff9,5a97e4c2,6af714ae,f00c9142,5e562ffa,16942fe2,852a3e06)
+,S(6d564251,5edd2987,568dc237,b5b98fa8,de9b86a3,e7176e62,f2609dfd,65810920,a99a0d1a,12534f64,fa97227,825b094a,22fc16bb,e8777669,d5aedc4d,58e81ff0)
+,S(e3687c75,c0689381,22f60fc5,b346e8dd,17b2dff9,cd7fbea,94aa54b7,ba1f6de9,4dfd4537,1f62a968,399cfaba,87a0b985,cb333510,dfca666d,395e0f8e,2b7f473e)
+,S(1a3d974b,49e7e68e,bb2851c9,c9f22d9a,5929ccde,9d635e8d,61aff93f,f7244472,f6c9e7e2,98815ef8,d53a7bd7,9f10275e,ea74ccd8,5d97cc3d,cf2e97b1,83c97c86)
+,S(8e0dba73,12c4afe,8e1bc508,4d9f4944,654a5693,81a64158,d7db7007,3f897cb3,560eb34a,2451905f,2e9daeaa,63dff50f,761bd68a,2321a714,45930de0,4801875)
+,S(35d9eaef,6c4ded5c,371a655f,2fdbac45,35471c32,b369955b,f8f30d95,21cd5817,c5a084ba,7b2ea4c2,e3c3d081,dab53c9a,ee40e10f,607ce88c,899f0e3f,5850d75a)
+,S(44d1dd16,c42b7811,f78374d8,2ec9983,7fbee7ce,4b3a8ccf,81ae4ed6,3b7d2c73,6a7bd35c,b10c4e89,60e3eba1,8f658510,3be8d1a8,5c4932f9,f1e48d81,e3f66604)
+,S(4b7a54a5,e7153a54,e4400ef,9311d6,cc16f641,6695fd92,5fcae9ed,6b2738d5,43a7bf76,ac2f663e,daf0036d,b665291f,cf983c0,791a8a6d,a5ee1956,2dc18850)
+,S(add4a15d,d1a350e9,e5df62b5,4a6638d,76ee221a,4007a19e,db5bc93e,87f11ea6,c26d6fcb,3a8bc1fc,f1474c26,31a4216d,740cf94b,a9d7e48c,8f01be28,885ee849)
+,S(9b52aafa,119ada49,ce33340d,ff75ac50,ac9a9d87,775e8e45,da58452f,228a23c2,67640253,503b5e3f,89f7ad07,b9379bfe,77c946d,4f61b83d,3fced91b,69e850af)
+,S(965916f5,89854944,26c1efb7,88079a55,f8109cb3,8bb111b8,42ef7f00,2d4a45d6,9aa2ef4e,61902148,aea7769c,a561d04b,cbe1b340,a231388,e332c30b,8488e531)
+,S(3af7890d,c045aaa4,2f7a8f26,5fcff9ea,41bae0f9,87c75c22,3ae3311d,e09b6ffc,dbb31417,27adbd5d,e34202b7,f7a880a2,41f18b0f,b1a40a25,376c4a30,ec607152)
+,S(dc465cfe,c07f839b,46406f4d,9a0078d7,57c2fe0,e62aa4e2,212ed33d,5b2026a,1ef12aff,a98868bf,b51901f7,2693f868,5ba2248d,91440380,53bd137b,24b3bc8)
+,S(5ae92f8a,cb9e2ca7,2f4d4c70,f4daaf96,bd237bab,2a83c0de,693d8207,baaa0f4b,54e266f7,aa1b7f22,8f24ab91,5e3f0a92,3220512a,de239da3,1069bbf2,35d63049)
+,S(38134bb,c6c5a4b3,63421af6,ae573ce7,20421d36,1f4966c7,b9e7f125,f49659ac,5d42678c,d6f89848,72399321,fa86318f,7a4e3f05,4c3bc6f4,6782be35,4ac4aa16)
+,S(f2b807a1,3fd603b4,111ac02d,5c646f6e,eb819a4f,7893992b,9132aa83,76892a57,6f1beea1,a315c000,3c957d85,bc5171d0,ccb8ff06,446f4748,738a3c78,f9ec2d4b)
+,S(debe05cb,b308a6da,a1eb55bd,73c3f1ba,248ade5d,ceb1ef3a,baecc6ac,7a5e8c09,f4fb16b1,44beb4ca,789aff58,9374e476,efccbbbe,b74e2693,a4d05ba5,a809ff05)
+,S(15cbbf1,2720f8f5,fa1a7752,b6f33333,91cf3d0e,c40f0292,24f5b7b2,c966c099,be3b1573,fe38200,a464f4f0,c3c2f9d6,24bd59bc,9412110f,6eca2ada,2f1c7294)
+,S(e4fadc29,2f0cf77e,4b14c3cd,b567f5c9,be82fc93,dcdf2b50,bdf20fdb,f5984769,2858e2ba,c9834a2f,942ea7fe,2e339d8e,b384c255,6a48d688,a9510808,a1235452)
+,S(b0a8c6dd,f57434e8,a8bee1a9,530cb9d,3d4ac31e,edd17653,3d84780c,6909554a,4f7467d3,62185e38,f6d6c30,e4c3e4ac,e167f3cb,aefcab8b,eac754eb,c76ea3dd)
+,S(a4398869,26e4d06e,5337e61d,dcc6f491,4f40c04,eb3ec752,47d9d058,9dfea2af,ac1fdc5b,70d792c0,7bf7e55a,b07ea1ce,477dcef6,cce8585,84cc90ad,c62b6272)
+,S(84b362fb,1597f179,f30b7e2c,b516153,94619081,1131d45c,ba55fd1,94f369be,d2a80ffa,44965152,78c2ee3b,122b5c3f,e6d27f9d,6ed6ba94,9258c2fd,94eed4dc)
+,S(75182684,96e2d037,24c11192,e9112501,f7c27d19,8b92fa1c,3b0e931c,2b85d32d,eddd2a6d,d884f93a,b6f8d225,c9fb32b8,9f396f1c,2613be98,d866b713,14a00d70)
+,S(aa96e0b8,104884cd,7e22211b,8b12e6e6,b3f3e3f7,fdff04fc,202d8946,838fe15f,d8a9b5c3,9739fae3,dd3b2483,4fd2981d,ea529097,2ba52541,56905664,f289e3e0)
+,S(ada17e80,82a0a15f,366f3d6e,6775b5ef,35c980f7,12ea7522,1aa796f4,2454988e,7df4c1e3,191214b6,e40fdae,2f5dabaa,b6e9837b,f53eb10b,dd28e674,230cf2e5)
+,S(322a0524,20f0fdbc,85f35fc2,de6690e5,a61260f1,428ec662,4185ee8c,d2385caa,fc81cabd,789995e7,d36d3de0,1b650a20,1befd7a7,a415d250,697114e3,c95e096d)
+,S(5082ad62,3bf2ff8c,b4571b9b,86303032,ecd137bc,86c5514d,b9f218c,4f091153,b29d3823,eb4ed958,9b0fbfc9,2d006fb3,698ab596,d3e60360,e435bbdc,be4c80b3)
+,S(de9e45fc,e9e0dee8,3bc806ae,286a2c5a,a7978608,42ddf02,d29a6ac3,9fbec470,bcda9466,e7207f7b,7d986e,36b3f238,d5bc51ac,90ec35bc,56e0949b,334ef964)
+,S(95cbc3a5,61ff4cfa,278678a5,6f8b16a1,efe2d286,c7103047,310454cf,a1a822bc,8720fda5,58d23b5f,af9b80eb,dd5fa625,93325a6b,eb5ffbd8,f333cd9d,9c8b7366)
+,S(fa0e59a0,969de9fa,aaf7be60,24136559,cb384b76,26d3bdec,f70f3e55,696a0632,2e8af3c2,a54e837,ddbfc32d,8a47f342,a856b854,7ec4b0ea,6fb3695,48b8b588)
+,S(56aadb8,2056ff5b,3337aa5d,337671a8,77168b0c,f0330e8d,8f5445a0,cdd75075,d6c4cd4f,db81d8df,b095f681,f7349fdc,c2cc80d9,399fc16e,5fa3e86,9460a5f0)
+,S(7da6a13c,11d5b063,8132254f,c064ff3f,d3818a5c,e07168eb,ed5b7345,53bbc19,26e912dc,5b03258a,f914cd86,88d6a068,266eef77,7d4f45f1,7c47cf92,16d00c4c)
+,S(4004b235,d58417a0,ea1a2071,32b30a8,1dcd6a9c,3ea875a3,6d2a6225,e2b56917,1c960bd1,443c22fa,96f06eff,a717b5bd,efe8b105,7402cd93,7a6aa909,5775e226)
+,S(b12c4d85,6ec6c85f,3553bfee,c7dacbf4,f742ccc1,356fbc8d,ab3d25b7,52bdfe93,a8a11692,49dba87,8c8e6c56,ff8f699f,d7e69c6,f994d05d,4e0643a9,7f9cd2e2)
+,S(a78d9a2e,8b74ccdf,97c6ea9c,aada2644,8b560287,7d7b0970,41d24840,91490970,39cdd434,1d1e16dc,b89fe937,665e70da,ea80a174,5ae7b99d,dcad04e0,efe841a6)
+,S(c8233855,b1f242bf,59b86372,ae49a985,2528440f,e3aa8e,28d594e0,114d2ae8,6f515202,a14738ee,ae4b430c,27391144,c551bfe6,bf24005b,81f92900,bda92b7e)
+,S(6da24dec,9d6ec569,8dda9655,672a9b79,4923f595,9157af10,64cb53cd,5e5e8f6d,59517e76,8b0d39d0,2c075a46,c1e653f8,cf876fe,cfb10746,a8c248cf,4c73fcba)
+,S(d0c55dca,ab79e0c,84ef08ad,57ff67c5,b36336f,2f6231d6,8efa2fac,54558ef0,d4365ebb,4096888f,c9a74d90,1adc4c5e,16f5dddb,442cb5d6,b5e22b32,99aa573)
+,S(d76f084f,237dedd,ac8a1936,319d198e,baef2c4a,3b81ae42,e92f96b6,e222490c,c7737563,9639b7c8,32e4bf45,efc8da2f,53e20e25,641ea714,85674a40,1dd5f14)
+,S(6a1f6920,9196c02e,6919abd2,c8fc835b,889c5ca1,6bb25e3d,ef7d0c4b,9f4e6d29,84371bc2,7bd206d7,389534ef,f2a49c6,cca4c9c9,874f59b1,ccc8b5b,bd5df3b)
+,S(693b3520,85e1ea36,bc5c8ce8,3fa49843,369300c5,170010c1,b11a3c76,4deb12d6,4441c9b7,808b1ba9,8199349b,243f08db,6cdf5326,d7453828,16f008d9,45c1251e)
+,S(5ee94c65,70953f27,37c16a59,590f7cd7,87143bab,405f6b23,718878c7,bc95741d,8578d18e,a49f9204,e51513a8,94920224,70837b2b,ee480929,5e4c4f0d,cf5c7794)
+,S(30c174b0,e7b0cec7,e6da6a5d,335f48ee,6f59ef16,984e8912,32e874d6,2e51fe2e,af7f955a,8807444,56b2c965,5c4ad915,e040a360,eef0c4c7,891db1ae,6983867)
+,S(3121068a,eb60a54f,dd427eb0,92e30895,92335900,cf191eea,79118442,67b7f4ca,d9e8f74,b8d9c0e7,c35e314b,51a52a95,bf672adb,9c6fb104,8d2ea489,5135aeae)
+,S(a06f5e3,6513a659,106ec301,cf1f2df5,6093e690,38daaebd,4b17ea45,9e977ff1,eb19f18a,15630965,d2bd8bce,9e350374,1ab35f0e,4b442f12,9c9d831f,3811cffa)
+,S(a26af0b6,50967dba,1c4a33b5,5226c2a,ad445f43,84567580,3b97ca1c,f3d217c7,22c8aba1,604df49,abe16949,59b33cce,db11c241,cbdb171c,50b0fb0a,399e6839)
+,S(8e4471cb,b650097e,d3b0e938,18b8ec5,a86fedd1,addc6ed1,8703a99b,4128919b,fa5457bb,4068bf35,7b050244,6eef2507,c1d87051,28770161,ef0e92dd,d2308495)
+,S(e9116ea3,24650463,fde960ed,eb7d5dd1,f5754915,62c99f48,31b553ba,2663ba1b,e30d7323,fc29e388,94244422,63434cdb,aebc5895,8a6fb350,33141e96,46a4529b)
+,S(8b2267e6,9052f769,833b0fb0,ffe413f3,4b8edb93,9a2009b8,59d6673c,4ca6ec37,97f80a18,ac047152,178432b3,d445a0e9,84755d9b,7ad43165,8707185d,d573fc5e)
+,S(79947669,d7bc732d,ca08e0cd,d3e601f3,c4344532,e35aa7a7,12271b12,339ee2b8,55906cbf,e782d32c,13cea8e,83812e8c,84c76d38,472ee59e,134994b4,b7b92897)
+,S(ca6d40aa,2f863c02,b6444727,d00f8923,ec58afec,3b4a4e51,f4be232a,4b4c7c7d,ec73856,b0529f1d,9d2ed892,b22b059f,35e4a91b,b60c6a6d,e919d611,d9bd90e9)
+,S(7ba23bca,5f9a88c4,588dec37,3861b699,ddfc9f5a,5b277bc5,e6e16f54,513fe7d4,25f10a4f,eeb77ff0,e24170af,dea0e2d2,3f2289a3,e53ad674,1640cc69,c042dcf5)
+,S(186da622,d0e8a9ba,e26d43e0,b601c68b,311d2046,4eb36f2b,f86c3e0e,5d4ffcf7,53a6f54a,dd11af9d,50bd82d9,70825bcc,fe9da1d5,ab55e64,bbe4582b,f5248d37)
+,S(e9601474,568cfe7e,6cdbf488,63f11f12,fa17ecdd,c623cb11,4818eb52,cafcdf8b,96d51b2,7b5e4fd8,1bbb009a,2ce40fc7,65fc6a3,7f8bda60,c4927766,a52267da)
+,S(811f5957,accf9f32,3e48ac3a,33fbaeaf,c5120858,943e7065,9c0da185,71d1d4e9,ede77562,cc8ac601,e3dbdfb5,944d59af,63bd1aa2,ffb35bf4,1f79c418,d1d67937)
+,S(77424acd,1d55424a,edb0149,a6ea0349,afcf44c6,667caa51,302b70f9,5fddf277,70e15309,989a2512,422a5bff,221c0e0e,df608746,7a34dbaa,99e77f9c,62b56c3f)
+,S(e9e139fd,73c2c50,375d3966,ed4af6f0,4bd80bb,439121,d61bfe66,99dabd2e,260efa55,805918e,d45c98b9,c119bed4,21483d88,722e0f87,de7a31b5,e4b541fb)
+,S(a9a5313b,e634813a,b10b9b3,6b38ed1d,a971c0de,5b6d1010,4cbe426d,544e7d79,ef7b3203,2a95144f,17803f09,72f6e2cb,80e6a099,5196911f,916225ac,e97bbb97)
+,S(ff29a1dc,b5c97b7c,c5e2b73d,7a0e0244,bef71dfc,765127f5,f7e0f38b,f8a099db,b8334f11,682b9a22,ec08a376,dc3994c2,7d235d5b,a4a77803,79ec0fb6,7b4d0345)
+,S(c98df4d2,da452118,852c096c,bb34c8ca,a2ebcb6a,e9a3420d,a4fd3eec,cc31c5f,f4f9c618,44cea236,edef80a1,4634159c,72663322,7372cbda,4b2680,b5dbbf7)
+,S(66126139,77cfafb2,283e1a92,d6327174,86add807,b88cf793,12fef2b7,197289a8,504387f6,70caf906,2db248c3,ed5faee0,269d0190,70dd5acc,c8599f5f,5e01d1d0)
+,S(efa8bcf,281ad4da,2f083e6e,182765cd,ab0e66f2,e8411007,e216a69b,d73d5e94,6e1afd7,e97061c6,cd0794f6,837aefe6,e8ab76b6,53d80846,98747ed4,64e20a)
+,S(d4f9fa7e,6e385f02,c068ce7a,1b80343c,20f85b7a,4699c126,575915bf,69a2f6e7,a6496004,f280f970,c1028b3c,e0d94187,34dece11,3f9fc737,2ef0125c,851de143)
+,S(5980a5c,456f383e,f0add523,13fe37a8,874059ee,497b0a23,c6dfbb2f,9f6c494,e1da9a59,c8e3d482,ece7972,9c77308,e47bcd90,cdff915c,32a94908,db1651fd)
+,S(988ca976,ac6bcfb0,b42125c0,939a1207,2eb13565,29da3e72,6b70b2b9,5c310e12,97368d81,79a76a51,7c7d063a,179a2941,fe5df19f,25f1e1fd,42a32af9,d5de16cc)
+,S(ca49ad0d,25b36130,cc878861,f4b72a4f,e945bc0b,dbae2f4c,629a6375,3d88037f,5ad2c0b7,2e084bb3,95b9268f,22ba1774,c6e423e2,4a5191d5,b940c89c,e1039f0e)
+,S(ec18622f,b9771723,c8e6e6e3,5096e517,38c4dafb,82b10317,1f55f900,b24c2e06,5803ea86,c839ddad,6c288b8c,b382a1cf,76a790c5,6f99df9a,fc9915e,eac6dd61)
+,S(c53aa261,60e627bf,bd905ff2,6b50a171,18062ebc,af9d9ca0,c486430f,b6de5da2,7d6298e0,f17a515,529fc5bd,2b85c7ef,d183710b,96d62a2c,5a0195cd,ea561790)
+,S(ad138110,f9161559,229ead18,4b7ea7b2,846384e9,dc22b8eb,5b771027,8c8913d2,135a3ed1,d9df6a0e,105c7c,e6ce625a,f8173d76,60ea04b4,9ee781a8,90595eef)
+,S(46946390,304df8d9,15705fc4,5714f3b4,233a5ec1,afdaf145,b6c09717,9c6b43e1,aef28d5f,88f62a7,e3ecb978,6efc97f1,1123fde3,88ec1bed,bbeee3c9,f9d3e014)
+,S(d464a300,df9de2ee,220ae23,4d59b6cf,44f4d280,7ab4f588,aa21dd1e,eeb80819,89988349,b1ab280,8b829754,7e5b36cb,e66ddd16,4d7542d1,cb0cf210,44a8be1c)
+,S(5e99ed21,9ade424e,25b807c5,bcbeb05,9b638b7a,4ffb3c6d,d3bd054b,b7af9f41,a373ab0c,4aba0b04,878451bb,96807604,7d811fd3,605e8e46,57574efb,21681aae)
+,S(805edc92,6fddf92,d33db068,9334d778,4b30f73e,4e65517,42e62c50,fc6ff2a3,170e4317,4361275c,2102aa8f,5406ff9e,7bd35523,8bf1e946,1a6f16c0,38beecdf)
+,S(ec6e5a3f,bb96f0af,dd700701,8c046998,49a879ef,5ebcaf67,456748f2,f25fd18a,9401937d,cf584df5,a9399fa7,bb309ffe,80ae015,20933d63,df1fc181,b2979fbf)
+,S(94f226aa,a25c710e,2cc68683,2b9124a,ffc5c3fa,179ace52,327c6866,cfdbb3ca,b92762c3,a4c56d95,1ef16db7,b3992e9e,aa2f9c3,ec48f077,62a379f8,408f94a)
+,S(8d2668fd,5d46bd4a,fc84183f,4fc31dac,964358b,fa6b03f9,16ac5bec,a619a92d,c24f6815,3e49048c,a461eea8,ce50c8db,7794b10d,d8080236,2af6677b,45e45f95)
+,S(2a3ef112,d00514a,c562de17,a68bc4de,c4c04db7,8266892d,b645ac6b,ced47f67,6e93173d,64333933,c3db0f56,8c05410d,8a1dc73b,6a30c6bc,2b0d5493,d9f9fe1f)
+,S(6eaa1185,19d6cdff,45d88426,6fac5867,790faca7,4ccc31bd,6eb19551,8f752dd,affb02eb,277a2bdc,db79d91,10ee8a7d,58c9662,22cfac03,b3d26cd6,3c678f9b)
+,S(d17802d0,1944d9f7,aab2b542,fac985ce,e56172b9,e5629e53,ddf57e0a,8dd07137,485ae7ac,34d13d9c,9ade04f2,b3fb8cc7,d0cff406,97abbe2d,4961e753,b8de013)
+,S(9e4cd82,67c121f8,96c8104f,988a140a,71f0cf18,782b574d,407a4840,607f5804,c05f08,3fb5c4d3,9d3e237b,101f46e0,6547828e,f05040ae,87db7874,9d7f3bf6)
+,S(927758c2,12452995,886e97b4,b1d16c53,4603c,7362e190,dd2558a8,43521a41,30e4d5df,c5ff4b5a,5f4f757a,3483234d,4c658b7b,f24dd509,7968627a,a2a86d56)
+,S(589906c5,90a1e143,ae7ea4fb,84edc7a,9f00bc90,dfeadfba,1933c36b,57f2bd25,e9d1d51d,92223636,cab62cab,362b79b2,12a18be6,6468f06b,a543921e,bc9b1c61)
+,S(5b516216,1171c076,b10d4987,3aff89b,c080d2b1,9e3ebc3a,de8dcfd1,734e2f35,572c40fd,24965ce8,a78c3402,381bfd90,b683d6a0,d379d7ca,21e66804,31b8ffe8)
+,S(1603bb4b,3dced105,b1a2b748,21080a5c,2629a52b,56823524,84deb617,2f6a9694,2dc4243d,fd20fd16,d1f2798f,23e43be5,f88d5feb,1f6fecca,6fadd5c3,f5a63c37)
+,S(7bbf7555,4c14bf1a,63ef9f38,ae3ec279,5cf0aa1f,335c816e,580bdeee,10d95ed2,d2e12648,81ba6d5e,e8cf389e,84e37ee1,7c178b8,dda63756,32d9330c,beeeac53)
+,S(b2d3aee,d083787,eb4e14f,328640a3,c557724c,e06a62b9,17134ebd,fe576073,68cd90be,2df0fa6b,da2693b0,f18357b7,ea5205e,2a1f5fd7,5a1413b4,fd9ce0d6)
+,S(dd10759e,86121fd,6296f171,57a90f2d,bc217238,53969f85,4a71461b,27df81be,713442b0,65546c39,1b71ef30,3bb6ebc0,659471be,fc165a3a,686aae0b,270f13c9)
+,S(54229d57,3a274ca,6eda6194,62dce4b9,35ed143d,16e470f1,239f1045,6dd2de16,a6739dc0,916112b7,4fd6ab7a,134093fd,55541758,5b3fb39f,da647bc6,5cde08b3)
+,S(141f3cdc,124460ea,15fc80fa,dbba8fce,d89c4426,74e9a3dc,55f74f69,66bb8ff,f0c8d7d4,dac4ba66,1768514f,c9bb9e2b,319645da,735e5be1,51790483,d7b477ac)
+,S(e9795743,efacb0d0,4c91c74d,33837b61,8d08acc1,cc2603ac,f02b1610,16fd1363,9f1c8ab6,735f3161,811f710a,1b5703d6,aac65c23,35fc1af1,32ba005b,bbe66d7c)
+,S(e5e8c40e,c6c9475d,d4cff6a9,c9db5cb3,f8202bf1,bf60ed41,3e213d6f,2c860797,a9570e76,482a8177,b1adf9a0,1a7716f4,b1e754ef,864d2deb,354a96dc,ea1decb)
+,S(5292362e,a095d145,c002f027,be53a28e,d5244982,bcea97c,b56d9ab6,162f7ae9,e7f00a61,8e63664,4555170d,9f13420e,fe1849dd,641bbabd,d3648250,81934e37)
+,S(a6772998,3d6a765a,67e9e3a7,45e7de0e,1e42f34e,46b7cdde,8ab20262,ad246822,53281b0b,bb45bbf6,a1e804e4,cb6f443,537b4bb,d551c9d0,8976d53c,1020407f)
+,S(7ed3bc8a,8a68ea64,c9dd316f,48f012ed,229e5f9,1a294666,4546ef68,bb48959a,238e6696,a7cac135,ac551927,fef28c04,5bbf23ac,9d24ef52,3d69aaef,27312e69)
+,S(96702aaf,a9e17a9b,5fa4fe87,d3b45633,b59779ba,57002679,63a3a5,7e7442c8,53deadec,73ed54d4,db98093f,9e269442,d9a4a955,f9b18878,8be2c410,84014a4)
+,S(bd3e9c04,42a9b0db,b063aa20,b09e7e0b,4ea18ecc,55a5794e,14108aea,1ffdea66,b5e43b5,fd8cfa37,dfd49f34,1ef14b0b,c2cc571e,cf9f7511,f2f11e15,825a57dd)
+,S(d95c6dde,f07abe75,215e14ba,e76a3be1,6dc514f1,7542a246,e48a2a35,108c0833,e49d6c1b,baaf6f7e,44fa7389,31767757,76d6756b,ce8353ab,ca6e648a,cd2e8fdd)
+,S(86f7406,7a86227b,2f5414cd,12c9907a,b78464be,8a5c2284,7d8442ea,d585fe8a,53c73db9,3ebd3340,2856a7e3,d91d29e2,e9439a3d,c43120e2,1fb5bb04,384a8e68)
+,S(bdd92d35,ba51344e,4deb6b77,126fde21,9e7030e6,5e1d96fd,4987f1ec,bc5ee6ca,a49915dc,b4f29eb5,af9d643a,6c6f581d,94a205de,3a8bf3f6,a26d294a,be11cebb)
+,S(dd4b5fdd,3ca88300,74f19532,728a31e4,152be230,2e6ef55d,a6ef9209,fc70b65e,fed2978a,3cc4c8d8,2012cd5,7e06ea37,4ac5f802,a0032e8a,21d58239,860856bf)
+,S(fab1a71f,f8a64cb5,14c94e0d,1c67fb23,70998570,ebbb0e25,9e09df03,e82aaeed,6208c3fe,3fd0d9c,640a1908,1a6a6db4,cdeaf7f2,ede4835d,46549734,c1c50035)
+,S(4d6fcaff,167a869e,311e8dd3,f736230e,78634ebc,c4470b91,686018c,7b529509,e860a3b9,28927956,1cd132de,a1de3456,576c4cc6,138bb079,a166b9a6,79555751)
+,S(502caf19,5004fb43,75b13ca5,16583e1b,3f60b32f,d9769832,b42423a,f7ec78c3,c0aadc3,36019a17,ebf7f2f0,5afc036e,e807df5a,c2869bcd,19c2aca0,1b5ccec8)
+,S(35727dc6,ebe8f38b,1a84d201,2fb24a2e,9ddaedbc,63e8de82,e18de4a3,c4d021ac,8eaca26b,3b88adf2,d19d9d52,c84d83ff,89451750,6a77b4fa,fd717b07,4b414322)
+,S(7ced897a,47b5b0d5,f4db6d9a,ecd9c5d,54b35789,91902324,6f270d7e,7ac4b377,1c6ce993,fb84c89,ef5dbdfe,68dad70d,ca39a4ce,29cbc658,d5332d1a,6f6cb157)
+,S(60d1d74f,660a5f6d,bac1ee84,5aa43dd8,889c9e4c,6b0ce1ab,e9952ea2,7146972d,dc4291c7,db1dcde0,8e618261,b8d177aa,77b5b0f,2aa8f341,8afc9eeb,dbf068b)
+,S(a8b28606,e7040dac,7941cca0,b9cec031,31db3f95,bee7d6a9,8d60c3a,1091f81c,3fbac401,61c81632,ac8655c6,d5c02744,7c836244,e228b9a5,bf5d799f,1fb810ea)
+,S(6418a48d,2705a27d,5fe68188,58a61a21,4e4dd39e,4151aa89,9fc6d414,95f975c5,21abfd32,14d98ff7,5b154250,8480b32d,ea8c50c2,3400235b,be800520,1609c7a4)
+,S(b46f6f80,c71cb354,3058372b,9ba5e6d5,2617728c,54c10cf6,6ead7ca1,de2700bc,2008111e,c4b86ec4,26bde7ab,f52bf201,10787bed,d7b2e922,e3a5a60f,e68a0f4e)
+,S(a0ef81c3,c9f78950,41a8d90,69cc22e9,22bc0cac,4e61a030,495ddf48,eaa6dcfe,8617df0,b32975a1,6666f86c,136e8c99,c07ff948,ff8d8176,9d968544,aee5eaa8)
+,S(c03cfcd4,21cc7095,5a3e10e4,a4ed12f0,d31abe86,506da6e9,c83cf6e1,df73d093,8d6f0b3,c0d6edf4,b5d2041a,94d13f89,91adbb03,22ba9f,a56b31cb,63d4400f)
+,S(4085a2aa,95e4e8f,11b0e94e,2673c48d,d42506a1,81d93a19,b5f79d45,ab88b688,cc769f7d,f45cece,d3cddf9f,c75c4dc9,bb7018cb,f54986da,434128af,b26c0f28)
+,S(a485186a,b21c4650,e9f7375b,2ba644db,f22e2db2,20933cce,2bf0ca7a,c404fcb,2d227efb,68649a60,bee9461e,9390ba02,eb133cb0,eb8388e3,f64d23a4,332ec903)
+,S(9faa3103,b212c2ba,9a454898,fb451d17,c3632b7f,c9368452,3ddb88a,7599f14f,9dcb34ce,51f7c4db,7cebb0a2,1b50ff2a,d67c6bd9,7066e505,60132168,3be236e9)
+,S(1bb9ddd4,804edffd,78d00b86,ccf6a07d,a798d91e,5d88f2a9,37575d96,81187564,6577e8f3,ac22184b,d46339b8,25a426cf,2dc8cc86,78767d87,999a8e63,5789dfe0)
+,S(7b32d099,c78bb658,24868172,1b375689,b91f0650,45fe3d9c,8af4a331,2acfdf58,a4c92e67,f4bc53c5,aa84cef5,908a36ab,afcbaf66,a946d98d,4254271a,b4f088a5)
+,S(daf23c72,c67145d5,e2a55109,f95742d9,28cc16da,e53d0453,c8dc22fe,a9eec7f4,205dac83,6614ebe2,a55c04a5,970d4ae5,a9ba4b1d,d8d51f52,50de622d,2a2a472a)
+,S(6f156518,addc53c9,76a16944,a059a465,8c49f6c8,6ac4339e,82a2f69f,a3599279,50a277ea,6650fd6a,4a5e4c2e,fb09bfe2,78fe8fc2,c7a86089,b4bb0fa5,fa7262d8)
+,S(17661b7b,5b5a8a4c,f700397a,1f819c7d,a6c44cf9,a7d28bcc,df6e7fdb,efe50580,dc1d7f84,841d8ee9,3a9f9fa4,6a03b2a8,365398c3,f94b57d6,77ad4238,264c7868)
+,S(c3042389,1483fe1b,12f16146,f48ffe67,3a1ca3ea,ea330d54,db5f7c95,fbfce6b2,131d108c,14a4fda7,77d323f3,f717fdd0,a422acfd,20b9db1e,2b2c4039,a330ce3b)
+,S(654da43f,70e4c85f,c9aa2d5a,12ce1a51,d4364a09,5c230ce4,f8ae61b3,cde7fa4c,f82cfe9d,bec57ffa,4109e9fc,c9d79135,49817f50,9fde8195,79190d38,f0afd2f2)
+,S(c17be24f,d7d2535a,c4eb722b,bbc4444c,fa529cb1,283585c0,730813de,7219b481,2d35a0b2,27582d2c,b8155b92,680f6651,c0040508,ae3de034,cac87591,654c0c86)
+,S(fcb1fa46,f8178153,fe5f10b8,a91a411b,cdc4cfc5,61b5eb2d,29446a79,8deb14fb,29c75252,4cb13054,2b9c1a26,b4606eae,6f40ba1a,f73d006f,5bac65e9,3821f0f0)
+,S(7b86452,e43ae1f7,177c131d,999b5fa,a6e4a107,e0a06f6f,4305a8ff,d1ead9d8,3e7cd53b,b2f27d89,829e331b,8236f92e,fcf674c6,478846c2,c18307c6,e82691f5)
+,S(8271b58b,67a27540,c1d8305a,840475f5,3faa0031,4e779e2b,9e578c07,366a342b,5cf145f8,6fdff832,6712be08,ca1f3a27,d3e58fc0,baee76f7,a052f7df,450dbed2)
+,S(3f027c76,4ebf933b,50df3d37,77f60210,4b997d1d,4b9cee19,cb549c58,b5d0fa23,cb44dc89,c533abb3,e255fbd2,6dace4aa,836caf4b,2589113d,82ad1886,7eee5d80)
+,S(fbeadb62,ffe218e5,d0245d5c,4bce7334,cbbfbe91,610e8bd9,f0b89953,bf472bf6,7e824c09,9727cd33,1aafba9c,6776815e,3f954fb,539efa5c,fc4ce034,db602c09)
+,S(ee2807ab,44643652,12b021b0,dbe94618,5d22fae2,f500a740,127f4dfe,32ee4c60,d958ade6,cb9d3a,ae21602e,d25556b3,b3869202,beab0910,1a1d97e4,8e360e1)
+,S(94ab159f,2448f865,f3d38d65,12273da4,ff476289,3dbf74d2,ef889807,81d6802,88739de5,da331b70,87c58bd0,d734bd75,5853753d,1d3b97fe,39c68555,8868576d)
+,S(98d2e8e5,a41a0bf4,a880a510,b4b65321,7b9a62f0,c466c589,d0c1634f,557666cf,aa24bed8,a5cacda,bc3c950f,d56bbd1f,f156efb2,4632e073,ac822875,2617d1f6)
+,S(64efcff2,76cda1b7,c8e5ab1b,12c73a48,5a25113,eb9a5be,496e52b,ec6ad16,ac29e2d7,18bbf63a,16003992,d85a9090,98ae89,834dcb24,293d6bf1,b8130e3a)
+,S(6a8e3376,1636ef4d,b1116d54,34f3fa05,d8cde7e5,31b260ee,6aa9ee61,1c4cf5ed,5161b5ef,4bafa1af,f76a1e21,bdad444a,2526cf5c,c81636cc,36f18400,b8dc47af)
+,S(4786ac32,6312dcbf,a1386ca8,c505715f,2bc7f85c,22b6049a,e4386bec,11648013,67c80d39,bfb6cc58,7fb312c3,8fea53cf,6937216e,8e7f3b3b,4a2290e,6d6df687)
+,S(b87d2d08,ee206c18,646713e,8af6bfad,c77754c9,59158fac,c31928af,c66bf596,6110c98f,bafaffc1,7b40277c,17ad9650,15de7069,705019c6,b7a74cae,eec6e65b)
+,S(ea9f310b,d088429e,236d565f,d1b3129c,7ca8573c,191d1893,c1c157d2,a0867d4e,61c95d39,c1893c68,fdc60ddb,27909f2d,98c9ddd6,efc67ccc,7482c0e4,3c05b144)
+,S(abf862bb,9db85d51,5d6a37f5,5f3942b4,5404238e,d49d3124,59f9ab38,29b34ebb,30d13c26,2157c1f,1ffc8a46,a3679e65,35be1981,c202e7de,10de5386,db863739)
+,S(80767b75,df3e69dd,757b4c4b,fd0b4be,f75fecc6,ae22b488,214b0035,a276e492,ceea1fbd,bcce30be,2d88b601,895a8fd2,92f61b61,cafa5589,f9eb9652,8a78fbce)
+,S(8b7a47e7,dfc35093,77771622,482e45fc,84708ab2,c9c734d4,fdc9e8d2,499dd950,dbbd399a,d62e8309,14bd0ba6,19a9963b,8aacc765,cad19734,e2526af4,2b2013d4)
+,S(13700ef1,f1e82cab,7e9a7d79,d76fcfb0,b6e8c18,ec1e6546,d27eb919,bd871f2c,97488000,f96aa2a1,5913502b,30ae5bd5,f9edc84a,f97dac7d,c79be68d,a0f7f4e0)
+,S(51f9a79a,991fe61e,c5b7c93b,d0905bf1,2fea0e0c,bb9e9a7b,d5d99188,f42c8a16,a3ffae0e,92e3bde2,51c9a8c4,1a6d05ef,2fa2ed53,d7a21402,e759c102,65d96000)
+,S(ec7c6892,644bcff,715b027b,be48936b,26dde18c,bb4a1a9c,fa1628ba,84d5b456,51bc2b69,b76646df,51644c28,8570bac5,d51a0e9d,6e9f0ce7,1abf6812,650b18bd)
+,S(efb8249f,bed3299f,7715b3fa,b6a23bf2,86560ad3,72e31e6c,ec725522,227f5c2,f36f4624,59a7fced,3c621158,8eac73c5,54593c4e,b7c82fe7,b0951bfc,8987bba0)
+,S(4efe94a4,c34083dd,49762ea,eaf58feb,72f6e283,9931b706,56427bc,e9913bd,5c8b9448,5c687c16,76605dc2,d414f37c,da98a562,c71e7e72,fb2b8d5e,6ae0d60d)
+,S(ecc5864,fd6a1f7e,1e20a84c,d9dc7090,9775446e,2e0bf6cc,bf896bf7,97f9dd73,49eefb1,981d4b87,ff21ca80,5471770e,8e063541,58e9c1fd,9995718b,14d9d6f)
+,S(133f3710,9bcf5655,48d03c90,b82d55de,cfae1cf8,a5f3e117,5eaee107,aa7eb121,1af96963,e9113d2c,588ab083,58df45cc,8b68312c,9aaed504,3f17fffa,b29bdd7f)
+,S(a8b1b9f3,971667be,2a65072c,efe8b1e5,e64f652a,4758f51b,4888087d,4fb489b4,556d9a3e,c2861fdc,da258a1f,8c6e81d8,1df43669,e64e3daa,90dad4c7,c6c0b662)
+,S(104889df,dd81534b,655921ae,5483db4b,b3227f2,fc3563fc,4af46e1e,2c4fa88c,a70984a0,ce97af36,b827aaa5,218a9743,73feb2e6,fd7e2a02,408590,47323ee1)
+,S(4603c58f,4fbc4575,7e9e165f,8a4b41e6,b0d2bf09,b1124998,3881ecef,2a8852d7,37e5990d,7c50bed3,2b72a43a,2e6a0ac7,5676cc82,113e3196,d6569e21,3adcd0c)
+,S(5d1ddb75,774d6419,9f07f578,21786ad5,9fd7119c,f895196f,deec090f,1240748e,519140b0,1b340a4,a7aa2864,fef5a066,feb59c6,3355c222,6805e45e,160bcd9d)
+,S(c9f86104,62644b3a,ec4daa3e,bac656b9,de816cc3,a5aff1a3,633f90af,8401a97f,405087e8,80403629,516d485,f17590a,1277e058,840b3fac,4e02d3bd,7be92954)
+,S(b774b1e9,9f42b296,dab0e371,6d4ee04f,8bd517e6,7846d0b3,3ef5e0f2,569e97ae,ec78bffc,d6cfa76e,513a2b4b,db638f73,519b570f,f423936,ec0a54f7,9ceb5f9)
+,S(d7a1e238,ad3eddf5,29002e8e,87476ae3,6668d656,595b3d10,2486f1a5,c30e6a28,5c9fdd1b,e132b9eb,4d7b935c,2209e105,55cb28e6,c4616be5,7b248607,697ef6e2)
+,S(832b146a,cd002cb8,199e800c,47b2a0cf,d96591e9,91f1b406,b2db981f,c0aff924,f64632de,b99254ce,9d60b026,76551e8c,e21b300c,86fa5bd,8bd7c32a,4a81a18c)
+,S(635f97ae,1785487f,437fee89,9ec21d13,dd8228f2,e209637e,18c85ecd,6cf50202,b53fec65,1a1af1ab,2f51eaf8,8a3af104,e1a40e82,691da03d,9a179c6a,3b30e5f9)
+,S(f882f983,99891dcb,d58b931d,c215ca05,a232aa9a,7cfe5acb,5226ebe4,f4a598de,3d0313cd,aa36668,5422a6e0,2dd7c560,11fef0ce,3c268a42,3509991a,97cb4562)
+,S(5b16de8e,3f8b8670,a98099a5,250e3102,51107cd5,d04bb804,e2a7175f,48183594,33c3d3f9,e3099917,e707a429,3c83205,4a26cf2b,2a9e3118,fa64f441,e7561fcb)
+,S(b47e085e,c7a7977c,be3e2329,ea417e98,e86eea9b,aa23fc93,67cc06db,cf06647,cf6f1cc3,f564879a,f9515604,4b7b856b,827335af,5cdcd55d,1f8bde5b,d3f539e5)
+,S(afd1a856,e0624d6c,16a876c1,2f78ba44,303460f4,d3cc793b,5dd32a98,d8aca9b7,3b334e53,83301f24,df0e2df6,12cbd7fe,3e1b6650,d5355bb6,c9d3873d,f42d73b8)
+,S(454316e,69f558ff,6e19057c,9c754b2b,83eab233,f696ccd1,b80bbb42,3c81ae57,ebbbce3d,4e1cf2a7,315a394d,d03bfb64,300ac0f5,11627d06,7a5341b,43a4ace9)
+,S(a51f1d61,dc60b34c,65345205,b2a316ec,766560b9,c50d72a2,330f828a,ec978d05,d4e9b10a,58bfcc59,ef24379f,532784a7,ccc4c077,8aa11bd8,bf008846,44175faf)
+,S(771329ba,3ae1f814,764fb9c9,ebe68f37,26b8260a,90d4e49a,7dfbfd30,80cc6128,128479e4,bbcd5b06,ddf46f49,614f6ae1,bb8914a0,7a0a5bc7,34b69b39,caf71b1d)
+,S(aaa59016,d18bc9e6,2716bdb8,6d0c6bcc,e04f74f1,98f17675,c021d078,166c9fee,36cd35fd,53be5c17,84dec1ce,80ab3ff4,95abf363,17824a12,71cef620,2784f91)
+,S(be187d0,b3afc0,bcbf98ec,bf31bfcb,f4121265,c4b815d6,9403d9ef,926cd254,a3aa0d55,8b5f6720,9d8a6514,fe22026e,66e8d972,912a6503,5faaecf0,ac2d9b25)
+,S(228afb7,a9564fd3,641bd417,20a0e44c,d2ab5d99,844fa61e,264ca823,e197da88,24457982,391e3209,88cc44fe,e42cd242,80fe1f64,b87814b9,bb485d2,ed0d7757)
+,S(dd55db40,e3333379,7b8ae013,297b477e,bca2f586,16f29300,6625aab4,6c367ee9,836a69d6,603fd34f,92d3f775,d25ce89d,b92d2803,48a21178,44f9273f,1a97a9e9)
+,S(f82dfaf2,5113d8d5,728c53de,3b43f2b9,d2aac0f2,f90b762f,390f745d,7e10093a,1097ff80,ef2f5dc,88873c1,2b5acf0c,a8a803cb,ba3624d,4a036649,ffa07bcb)
+,S(666f1006,57ebb1b,f05f50c1,2bfa7fe7,cdf11e0d,6cb37c99,4b39df89,acefc7e1,3e3ceb4b,eb292e5,3c00e4bf,ab6dd9d3,becfab1f,19880c3e,cbb93a4c,415f67a7)
+,S(9769b542,3b098d8c,18871a53,8403ba2c,d32f556a,7ca7b089,ceb9134a,5d983e73,536e7c80,5c71c49,9d9acbed,c6fd94a8,3e64a2c,8afd8721,12f6848d,60851084)
+,S(26081d34,3771ce6e,39ba59dd,2c2e15c2,4c6903eb,b6c157fd,b1c51dc4,e5343bf,82f6d675,39d04825,4cda5bea,e4879547,9570f86c,9ccbe1a2,ee0deb39,afcf5efb)
+,S(feef7b4a,dbb0e287,a0762b14,445a8fae,b860e08b,19600b41,45d92447,be732bde,44e79fff,55aed478,f8d951e7,f4a327f6,c4a1e282,ce617a3b,5128f528,33851e5)
+,S(ffb8488d,f26d306b,70b5b1be,4b6f2e4e,b6d6b2b,4cf05d3e,9502f3f9,81406cef,f2891496,f5affbf0,bc60c46e,b96baf7,2a4e6797,3297a28a,948adb92,1cfd5dcb)
+,S(fd1ec3c1,736f2edc,5c080981,fdd99fca,9e301851,cbe8d840,38f03a6,59f21ea2,86755e0c,7b01dbff,ed701a7e,b5deb21,3566f331,d707888f,4f658879,cfbf3bf0)
+,S(addbda08,d536486c,b9d0b4f1,5ffc9104,ff75be96,739d4641,a405e2c4,2775fa4d,4d70179e,1237e2d4,61a0a0b3,c3bf9df7,9483afcc,1b8fe02f,47d4b312,2f339089)
+,S(fb5e9c09,8ff0520d,b162e57c,19b80ced,7c63ea68,1c7a2c56,2557a1ea,d2d7a46b,c4d9cfa0,d31cfac0,78c187dd,2ccea738,4667776f,b8eb0935,9330fab4,b9f67e2c)
+,S(28c33364,1762626a,c9e4d2d0,53a1e5f0,771449e7,a0977f2c,63db4681,1c675b45,239e717,a76b80f6,2b11c6f2,c459d516,bf81dbb1,4dabba88,9f1e627b,5fcb525f)
+,S(68e783ee,84fea44c,59c46bbb,170d7751,c47fb05b,602e9995,2469def7,cd061c9b,7054cae8,31dcb37f,ae8d8298,859b4e56,772f8a6c,d079918d,b49c7bbe,cde61f16)
+,S(1526613f,fda17eea,1a7930da,c1be4a6a,4ddffaa5,1adf3c92,73f3a2da,44d69c46,c9c3d04c,996c4d40,b906bbcf,5b0ac89,f541ae4,81b7c5c1,8f9b5762,7b9796af)
+,S(263e6099,2adc9f24,1cd1c16c,de291760,babe6e41,d4e3d064,f1a8768b,94bc5439,3ba3eade,1c5b8225,7559c0d7,97c47e5c,41f60195,463b2eac,74801439,b3a6663)
+,S(ce58e7e0,73c871b2,673e18e3,c9ebbb8e,e6bbb2d6,226e3d0f,4bbe6bb6,73e72816,85ba41f4,13158058,fe8d068d,df70f97c,acd4f512,cdcded1d,ff9c3c39,eb1ce1f3)
+,S(47c3eb29,1402d2d5,25a95ee6,fc54d1f9,721f29c1,e5b51cb9,d82d234b,94de6594,beb5da30,3383e0d1,4d13eca0,8eb8af0,14f8220a,81b1e8f6,47c1f95c,4503380e)
+,S(8f5e8092,c71ce97e,af578fa,52f174d,ad0133f3,94bf2ca,ef5c7adb,bbb37ad,1ca41380,ac714a5d,3c6be070,117b10b2,dcff62d1,bef220e2,4063c971,89f6ffa5)
+,S(edefd606,5883e90c,31215558,b05f297c,45c64fcd,34cb864e,3f0265e5,7e7d5a4,924502b3,1d0e8df2,2a54ae07,edf1b0bb,f2ad1df4,7de805a,43ae11ae,8cf3d628)
+,S(31516a47,50773473,6e691ec4,e6891eef,601d6e42,d7f4ea4a,1e5008cb,b77e151e,7f243d73,6ec9d71c,d2047cd8,d97c159d,345003d8,72556e94,4f7aaa74,acb8562e)
+,S(9049e0ee,149d379b,77963972,1027627f,5cf68f7a,9b1c81fd,189ae6dd,eea5c552,ecd60031,71dd9199,77ef92b4,262388a0,7aec9cbe,65d80882,1847a5b8,c758ad26)
+,S(977ac11,98214ec6,eb92699c,aaa9c219,6246df82,85a6afd2,fbef31,a5a93b8c,27e01787,d6e29c74,f6308e21,24f9fa99,6a5b78b5,4f45fc95,b71430a,abfb964c)
+,S(bd7ead55,e8ebc96e,5429f59,52427ca3,8dad3d9d,649676c5,52a01099,3c359a26,9e596b26,8c90186f,8cf38e1b,f47d6d6a,d7204c78,b557b3bd,25125bdd,c3ef7824)
+,S(90c82d89,9178857e,e2563cdf,d822b872,2901b53d,3b93a6f9,2905a4a2,163be70d,3779d0d,c99fc814,8b2f58c9,fab70952,373365d6,1adb6e5d,9ac3f761,9f27e943)
+,S(a312a0c,3111faf7,2cea8b7c,3e2786a1,65362caf,11919687,3368c77f,117ac42f,1b78c42e,af0e6219,ccbe3ed2,384f5529,dff57894,b9c82566,255fc4d0,fc798b6a)
+,S(7cd723db,c046d3f4,5b0fa248,1197790f,688632b4,5f57569e,2f7754c0,9fc9bcca,eb5fb704,a5cc0b22,979bd64a,790f428,b57bcc79,3bde8fc4,4d6bc9b1,8c21e495)
+,S(2b24dc16,59324483,3851815c,1675d051,60713a5,7dff00f8,9e72df7b,d1c7352a,ab05061c,224fb577,a72f5d2a,38a9e59d,18c52645,9564afca,a9539d0,c64c8fc6)
+,S(955ffe05,c4653033,c2b4afa1,fcf8d3f1,3b55c9ba,80d67c37,598f6d87,97f11b1f,d3502a31,bb37b950,93b3e594,944d4bac,3314d490,d375e118,4e8c5a7f,2346e6a5)
+,S(699392f3,c2baba31,1bfa8aea,180283c1,9036ea92,f287fc08,adb32fa,6785fefa,242acb3f,fcbce5f5,9dba097f,3d358862,11232403,2730700d,724488e,8bee3478)
+,S(193d04f3,61eeec14,633c702a,f8e7eb22,2c3de17c,a0130e9b,cbfb3daa,94674d24,39b68a32,79e62533,8bfda780,9f0f8264,ed2ba2b5,ea9c0035,6459882a,a943e088)
+,S(564387e1,ed778e70,baf9f876,2a0171a2,6a4e660a,bc6eaf1c,7ef9f00,69794817,7cf553f9,128d0716,e3c81039,3d1ca83f,1cf0fd82,7f7d4ff0,ff538637,34ef42cf)
+,S(f0eba12f,b282171f,d20aef8e,192741e5,4469c5c7,bab13f51,7084d293,c3c294cf,bb0211fd,18229247,5238ba93,f6992d34,a41a7ae6,78750b04,fd34f3cf,af61f90e)
+,S(a54b91bd,b09d29ab,f4cb354d,283c436f,a8e9cb20,d3a7fd35,e59f59c4,200bc13f,bae1af42,3459a852,bc16d45c,cd35fd94,c0033d89,5c86fdfc,f4fad5e6,3bec2cd2)
+,S(a9294788,b2c9d997,18193553,403350af,78008113,ed58cbcf,a2816c80,46f75d47,dea8059,c24c1c84,44a0263b,2896725b,79c2c8a2,6d425479,f44bb7ad,225bed8f)
+,S(b6967b59,ea3d2899,c14fd2,cdd4590e,68dce683,de275313,ec94d5d6,1bee65d1,67eb4a27,8813f69f,e5bbc586,15dcab17,11bca30,77327665,2fc333d0,52fd2a0c)
+,S(ffc0f3fd,241ebede,ddb0c43a,a9b8fc2a,9e778963,1af8d54b,bf99c64,add0cd7f,203e3aec,321e40fd,414c002c,e5c6cf90,2f3e75d8,ae0e3604,61028ca1,e21da260)
+,S(d8f86220,c390bcfc,f714ec3,8b6f6ee3,d37b41da,4026805d,6fbbc798,8a936ab2,7c0ad863,31ab776f,c22b2539,fd65086,2cfd2ba6,2f5d67a1,6eb957b1,8d812bf7)
+,S(11295381,19a146b,442c3447,400b6e7e,9b2190ba,dd42a75e,24460ca6,45a3cb88,44950501,75662a98,793416c5,3c55febc,7babcd29,398d6099,23e1c3e1,92dac1ab)
+,S(d7cf3779,236c4a8f,d592525,d30dc0a9,a3318c05,1823e0b0,43a6542d,f38d92d4,1f866df2,429a3dcf,1a285265,18308c25,262c1ea7,2aa2267c,39a315c6,dcd22ac)
+,S(d2bb0f89,a0897404,25fc85ce,4d8fe24c,ca061808,e426b08f,ff49a525,137449b0,fc4c4bfa,2bf202e,4d10969a,2c4ca383,17a8c179,20dcb965,7de7aaa9,6b97ff33)
+,S(832d95a0,cfb91494,5b43d9a0,4f037266,2ad4453d,353f6e78,47d4aefc,449dabc2,6ec0aabd,3c3981b,8ff55747,63bfb800,453f302a,8161de79,b6b623d9,253124f0)
+,S(3a224983,f83c41d,33d3aa2a,c9d29ca9,55850388,a968407,664b2830,3967f25c,7cc31841,96c4fb8a,953602ec,3c79ac75,69e1fd1,7a263946,27826a88,7d651f79)
+,S(81197d87,1452332c,2fb18793,c0ebeca,3d1b8a4c,f161b709,e3da21f,3917917b,56a0980d,1ed1f77,3c960de3,1ce4aad3,90a5ea76,fc410a2b,107ed82d,b8bdbef9)
+,S(b8204012,c77ebdcf,790f48fc,4acb23f0,b03e5d40,6fdcf212,81545200,faa2b4b6,b8718e0,12ed5a02,16485561,8a5fb6c4,ee4db08e,dc9c1842,881287c7,dc7191b3)
+,S(766d82f3,b602c418,d020596a,58e61400,20f58fd1,52448443,2f816dc4,8d437750,d17969a3,c71ea79a,3854b526,efd56f8,148b2d79,3ea3c76e,eb14ab7e,de5841d4)
+,S(35fe7655,5d4c88c,dacad9ac,1bf125d9,924276c7,8c2ea9c6,a9c1ae87,52d1e323,9ce2d43,ef8fdb37,82a38d69,972229df,9b9c0c98,abad263,1df192f7,e0e75324)
+,S(a29581d2,55efc206,4d1d1839,621daef2,ab049724,167ced73,7566f4cc,3a81f5ad,7eced1c0,575b6152,38db2928,964f7713,f65edd4d,c31a4b34,ae20b6a2,babaa8b1)
+,S(d7787fd3,75473801,2370e71f,4d2575a5,b9f89e11,aee370ca,2660dff9,dc6a807e,2875ab09,bb1b2a7e,cc6cb39a,939e4a91,2ddb1dbd,5ca43ca7,93ac663,552ae91c)
+,S(1fb6cf61,e8be4d39,b36578cd,8853da6a,1e62cc7f,29426838,a7ecf0a2,77395288,1c018114,2dfbefaa,6bfc2957,6b79c91b,16cf03d3,81285e2e,b74f71db,1986e43f)
+,S(511e9c97,866e651b,c4e32e41,92f75019,42316ead,6a0cd78d,fa61e0f1,e76aab8a,2e8cd531,d55bb19e,886b86cf,f7105591,68a9507c,7d78d34b,9ec50f92,5485931f)
+,S(74afe7a5,6387bd58,d5996a9a,9650730,44141ca3,1f5236e9,da977289,73c9d434,be7311c2,b4566819,12d13546,8ac1e26f,6113b960,3039c24c,5e77edcf,de452567)
+,S(5b545191,25d5f8e,cfbae2ed,bb724782,d07ff380,10eca9a9,29ccc9c1,ecd0f04d,21126f87,a0cf1824,1040d707,4d37e8a3,f035471,63de669b,9f502fd8,92322dfb)
+,S(5286fb50,1a525e82,a944d1ba,eab49572,52d86693,19af1367,eaa8d5c3,e73ee8d9,f2abec43,68f3800b,30da81de,5b81e564,f94942a4,9409bcb,a9faffd2,51daa0ec)
+,S(7b01eb86,c102438,4be1f023,90a5ed7d,beea652d,cf3ef77f,92fd883c,f2993069,becae52a,915d1393,15435d9d,edb72e2f,fb9bda33,4b2e39ed,6e698344,9e1ef819)
+,S(3955e911,874fd6d6,74e04ed1,ea3b43a4,486a0ac4,19735114,3b451c3b,3028a674,3552c619,a845adea,64951c82,75994959,8609a3d,2f691d0d,5947b474,4636e06c)
+,S(b67801c6,d96aca89,22d8e7a9,96e95729,c4c29d63,180e4f73,dcf013f1,98eb0d29,876e3361,d82f58f3,f1292315,1509ed62,2e2a73af,d063466d,4af5cf1c,1ffbb150)
+,S(1efe4004,1c7ddbba,1aade160,cec007e9,8abfcba4,7d292839,4598b5c0,1b763b10,d9f00f5e,d0868390,230168e7,c5839be7,cef8ebe0,b3b70d73,ebd92931,678dadac)
+,S(2083d5be,389e4bd0,23f7685f,2ad00b23,e3687672,72183afb,d5d02384,36d122fb,11b6176c,c7554617,935304d0,4e12e8a7,4bacc20d,d438bf77,a1729a15,b424937e)
+,S(8a9420d3,93ff0ba0,25bcbb4f,eaaf715e,4ab14281,85b2dd91,f8eede56,f3006e46,f48edd10,dff93031,2b5df63d,ec9c7a2f,ca373d77,65033de3,8a54d37b,2ab1f4c8)
+,S(64a2e8bf,b42de0b4,b2dc8fd5,9e3b2c18,753b43dc,e914fbc1,478818f8,145891c5,82583660,40ebc62f,d5526ecb,9f952091,47f7048a,4004a0a4,7b08905,12ac098)
+,S(eb97193,28c44e0a,3f2568bc,b99815a7,c5c2e7b7,90e7fcb5,a2e7f7d9,920404f,cfd26c16,e6709873,1219fdc4,aa8ed998,c6fef955,78d7908c,c72c04a4,4bcf305)
+,S(cea3219c,e03a2433,f9ad8d93,73a6bef6,c1f30b3f,fa79d7cc,6ced36be,9abc9c03,13ea8ed6,a0dd8fa3,29bd7563,a34f3499,6442b03a,f2eb703b,d8d5228c,cc4c4e7f)
+,S(2e1675b4,f00a0843,89b0587b,f0cb723e,1a833539,c024caed,36101cb2,bc4c4774,ec1d76d2,2752a662,5dafb3c9,6235eb94,f9af1286,2b3eff6d,2a0fb965,ad3173c7)
+,S(b0eb3277,7c8d1b09,e22c9b9f,1c37e8ab,74be3c49,7ab6d73e,7fb6ec11,10602438,6d44054e,a4cb4a22,3811bbf6,6d2ab2dc,f7263d7d,6421a368,9a9ca4f,97fac66)
+,S(48254bd4,8df24e2a,759c5ef9,cee30855,1c1f79da,b0a32695,2196ea1f,987b6d70,9c12a458,f39f4880,ff04b96c,72b8877f,b4ad0020,495626f4,1d9b32a8,84f7a36)
+,S(e3c6dc6,cfd0b94a,57b3d34b,3a77f4f4,45328a12,764e4619,efef75f9,f49fe8e9,5c229420,500f2fa2,888d834f,a517188a,207d8f88,c98b7b7d,31484a49,c4d43a31)
+,S(a8d9d9cd,def3362c,b260ad0f,3de51aa5,db066c74,4166d9ac,57db782f,656be9e4,bc696df,80eaccdd,bccc9ac8,960325bf,1a0e9aa6,100908b3,cd0c0ce3,43205db2)
+,S(38281034,a34cd153,34b6fdc3,26fdc558,555147cb,534a1c31,89beec74,5a2eca97,f4371a13,a65de538,f31ecc5b,50ce4b92,d5dc5645,9e523851,f6fcdac6,5994b5e0)
+,S(b745114b,449f0d7a,4521d7e6,728c89ff,54131e6d,8add9f3b,bf18edff,bebc6ca1,18678d66,781a9120,ba33e01c,ee3fb1ac,b7790f18,b30a651a,99b913c,e621eb67)
+,S(5987629f,9c26a8cf,ff39955c,3144f4ab,c4d094c8,8270f3de,620fcdaf,93a7fa9,a554b7be,24e49819,f1256c9e,72b8d981,2aa5984a,c942bd81,5709ee03,67894a07)
+,S(8fc9dd0,d84cf297,75ece75e,8cfd7c38,dc9f602a,b0152b01,982be4a1,f29b7290,ed128f96,2cf60503,7acdf6d5,9578ca8,9a232a0c,c432364f,2b661ac9,2a3176b5)
+,S(c8b5b1af,90d64379,f2c02ac9,51ff715b,2978ef0,bc87f721,3edfd09,983ecc35,c295c0d4,964ef85a,59490ae,dbfd98bb,f6096217,d7633f0,44470b6c,a1816b55)
+,S(b4eabf60,c44d78fc,298b2c90,6cdcf7da,a23d095d,867fd304,513f90c5,437775c5,82d906a1,2d10d6d8,e4c843b5,48ab645b,e6f32104,f07d8fd8,c128351b,e7b526bd)
+,S(b19350e8,a5163076,bba0b2e7,2159865f,59a8ea83,b0154fb7,64308bc7,4d0bcfa5,29e4ca7a,554269c3,21a12b37,a4fd0fb2,d3e57ed5,4e79423d,f715bd2,ecda9907)
+,S(fecf1ff7,663c7921,40f4deac,ced92484,8c66bec6,f4a5550d,c340896c,5543b886,b2621f65,d52538e2,92a50808,9008efa0,8f530fd9,a321bf30,6dd24f26,c9a1208d)
+,S(ab70fe2,355d6d6b,5c5a3f5,a6bdb605,86372165,b8f07d2b,ccfd61f4,798dcb7,7adfb6d3,dd44adff,87ce3727,efef0bc,6fdf9f49,44fbd238,822974d6,dd57e8ea)
+,S(5ae5d60a,efd1dae2,43df9d7e,ca025c3f,452b6c62,216c1c1e,8b315ceb,b94769b,d90d73b9,6e33cbe3,6d96c45,656f098b,e7e57d25,dd03be95,8b9cb2a1,d00bb434)
+,S(fc51f965,bf8dbdde,b5fa4af8,7abee8a9,a380918d,4d8524e6,73f8501a,291eb96b,ceebbb7e,35eda612,47ad8c8a,5d54af8c,9dbc9bd1,194ba5a9,5844fae4,b658496f)
+,S(368b51e3,778f8ddc,2d09e9b7,fc2808c8,ac793edd,244fe177,fe3229a,e5a6d919,5b3ff9e5,af4c6ae0,575b553c,c0ce17cf,fc4da66e,e19fc3f6,2d047007,e1716db)
+,S(ac9c4efa,5f63ca07,35fafa0e,9612b459,1a764955,d435c14f,91717e42,26ec0186,5d4d3ebf,9a064670,e09f1d48,79bc9e3e,22198188,5610731,29aa403e,73d7777a)
+,S(2b5f951f,360dbecb,9eb1d31d,b414aa13,9d9a7d7c,ed952a72,c0f93a61,d52fbc08,8d46f1b9,cb8883e4,cb504715,eae4326f,11187e46,de477dec,2108ccbc,2b3ddd35)
+,S(25a3593f,9670924a,a35c2008,bd8278a9,a78d22d6,572841c,98c4399e,26f67cfa,3b07ab0b,8d400f1,af88561d,af8bb7c6,a6e4b7c6,a8bf5915,4cd85291,66ecd965)
+,S(3f03be51,b35e265d,d9cb974c,4ac021d9,d22b2291,40016bb4,e9edf52,36193eca,a17df05d,e4b0e5bf,c7ecac3e,e3253017,cc1d47b2,9fd3d1d5,411f2660,c34932f9)
+,S(edbe9bd6,f16782a5,a00d7003,488b9291,faa4f22c,9602c736,a3698587,995d25d,64569751,212d2f6e,c2e7a6a8,973be7fb,c49d7a0c,8857fe76,f9c48011,735179ed)
+,S(1f477d33,1fb16ac7,45c29e48,77df8c17,83f69e85,5a111a30,e4717fc8,ebf85377,64c947cf,64a66ad,8a417bae,1bbc1cff,56826349,e024d3bc,bc4a9078,f4bda708)
+,S(b8ef8b11,901602cc,9fd1559f,c4bd6bdb,22f9bb7d,8b289c6b,fdae85c3,e9aa3e9a,60b3594a,7349c920,33d816fb,295f41b2,7c4d1d86,b4c9d2e2,2cc3f4f,e603f582)
+,S(eb6b31eb,198741f7,49e4b69f,85c23e4b,58e3223b,df8537cf,60a94411,f03e0071,576746c8,ba579896,969c228d,67a57cd8,8501e27c,773a3444,35b7e860,bec9f471)
+,S(47193aec,aeae207,ad675228,f4506db8,40a316a2,6cdb328c,2af6c24b,bd5e9a8b,dc67bbbd,ca7cfeb5,981571f5,7022986a,4ec3e408,b641c34a,57b7cfd5,5139a1ad)
+,S(ae3c9591,c2768a02,f99b0076,9c56fdf3,1a98fae,1eca3680,38698abb,1d44f961,ba9b0c42,90c2fb0a,ad84754b,e1c3fa0d,7e34f737,f3874af0,4ed2824a,46efdb24)
+,S(178ef542,8c4cc38f,f088c383,71f0ead1,4e7b4423,6d90bc7e,9ffc3db2,fdbe9b9d,a5f01afd,74aa9324,b10f6041,27ccae19,24da7b23,72269ef,ab984fe6,ba1b347b)
+,S(2df7e5c1,3d0fdda3,3ef8f69b,f0ebe1d0,8649b106,8c965d97,37a7e9b3,c13f4c92,eddbf5c6,324853c3,7d478864,a68d0b40,2c28ac46,295c00c2,2359e10d,d0693d94)
+,S(671abd13,fe274da6,a5cb6119,f33fc88e,37ee1b75,59adf215,e08fcead,ee946b8,49d7cd3f,3b8162f4,a85787c6,91bc29fd,69eaccb7,1354bbc2,8ba17227,8a8689fc)
+,S(b69fbdbe,e72b1418,6fab59f0,6b57d940,fb8cb5cd,92c53727,a0eed42e,532ed39e,71f488d2,e104d21f,c816631e,d774a714,94c0c609,c86ee052,210113d,672ea302)
+,S(1d5b8e6a,25fcc50e,a4a5429b,6233e276,47d978d1,28a5f495,a66b1b12,d7cd8714,8428efab,d2bd23c3,2de8da3b,cb630ee7,ebe84541,ec3eff60,645ec4fa,3978a6)
+,S(4844a10e,ffce265b,1a5338e6,a10c4f18,b95b0681,bd702e30,9a376e23,7fcefa22,9018e1d0,34bf225,b4826e42,565a76d9,43c868c3,168d74b9,33b34596,98b5192b)
+,S(9567ea6e,231a9c9c,3ea5bd83,59b7340c,dff96e3f,d1fa7a5b,c56c88a1,a57d951c,507e21e0,cc59bab1,f2c38cb3,42b9f83b,f291992,a0c83edb,4cb62b49,6c54759b)
+,S(60f2f714,71258f56,6de74774,eda196e,46a30d66,3dc0b308,1cbad662,72f07bcc,12588be3,f62dd2c8,1e485efc,76c754d2,de642f53,d3937c68,f058c61b,ed7b6c22)
+,S(4276ad32,b33ba53,ef2ab0af,9fc42af6,6c7bb23d,c7b7a9df,9c00e1dd,f76b6283,9c477729,c61fccfc,a2dc0c3,c3a9ac89,b98f437f,bb221be1,268a6f17,5d0dcd9b)
+,S(fa3ec157,f8186c36,3419d818,4473745b,fdd2d054,e0c16e1e,fccd514e,95c9336,a7864a68,91aec12c,fe8104a0,eb3cbec4,4a907380,11a3acbb,d5fb6680,289cfa2a)
+,S(7d7d2728,b1db5fdc,38ad6a75,3f39df22,88d50838,b106475e,28ba6eb7,5248b600,25d9d454,8b505739,16ec7bcc,877f6aef,e2641eee,8f78f1b1,a7f74c11,40173e1c)
+,S(8cb9cc7e,4ec87013,b6994670,aae06b1a,a4785c06,614ca24d,cb6534,6592ffb9,728c4a8b,36bf36b2,a0bedad9,144c3261,71df8448,e87d151b,d8bee067,769113c1)
+,S(8a9aadfc,84aa81d4,46442635,d47a9a4e,988e64de,6fe8836,79b8de44,f57c0169,60f39bce,be18abd,10afefa0,2d076d49,73d9615,10017a1f,469eab8a,c15eab60)
+,S(3ea01e46,3a9bfcfa,39125216,7b6ce771,5fb309e4,37d495b7,852be3c1,af2a0b5f,2b756a06,75da2633,b8d2650a,a2102738,d5918420,9c57dd64,7b4c6c2c,c5250252)
+,S(a0683395,c5245bdc,24b2b275,e8c2a196,5068fda,253343f7,49ab56e8,93672c4c,7f25a7ca,92d25547,975ddfab,fe50c247,6b4855cb,8f9ec4b8,ecbe9271,779431ea)
+,S(b8293e68,1e33b654,7d2902ce,3addaeed,2fcc021a,cf7ee396,9be12661,b2abfb5e,7943e6b6,fd0c90fa,824b1e8d,25d63a1b,c01f16fd,3c9e2254,e1dc35fe,416a5afb)
+,S(412722e8,ba1809cf,2df25d5a,49c7648d,b19e42c7,3cc30b7e,1107ee4b,f0aabaa1,557a299c,38ef6a75,61d79a10,ea052a52,818ce67e,1b341c1a,d70b984e,8e41fa39)
+,S(7a62c6fa,f4a1f6fe,4a45aa48,a854a16d,a2fb19a1,a5647e3e,28a35d0f,619b2844,dab31641,6241ad42,3e7ee774,acb52a96,26b4b6ca,a4ea0b4a,67a513fd,9637dfd4)
+,S(c3915b0c,19df99,ac0ef05,3a07b36d,62643630,201073b2,8e3ec588,6714a695,8f21f136,3cb4ff42,a52f74b4,b10f1dc3,5bcd782d,b477ecf6,38866d79,541de3bf)
+,S(2a373fd3,ddd12547,3e30efe2,5533316f,355dd52a,6854d7f4,8144d19b,648f4b59,2ba90aa0,b3de3887,c1ba231f,49b28294,677adcb3,2e81c2f0,3c563e0d,221260a3)
+,S(d8729e12,46cc8a52,a5c9b7ee,dcdf4d3b,3d0ff8aa,6efafdc5,ddf37480,2dda4476,1966d7a8,7e527a7a,bc1e829f,90e4e3e8,f4a7df30,48f098c0,df8a5eb0,2a8bc40)
+,S(ce45fb7d,2ccb83af,dd1662e0,3ffec83b,5173dd2e,448eaa87,edc980f9,10a20dfa,5973238,531c5a84,1388c656,3d4f3579,41283e31,44d84ea3,31374d8d,e2122244)
+,S(230a69,f0fff585,a1163702,4b16481f,65bf27a5,3ad7992d,47ec8ff5,edfe073e,61ae3fbd,90f157ba,6332de25,a571777c,30d8144b,e12d9a25,42bc1877,1b6abedd)
+,S(d7f91496,1bdd4fe4,7b538429,df2bee94,cc4d66d9,270da392,a85e8c62,1527700b,67ee9184,bb2cb2b,9671aaec,57634814,b6a1a9f5,dd0430e6,6c5e2774,5afa9f13)
+,S(4f2e459b,3eac7349,41cb81d9,2d8b3942,ee7b0ded,b2d9d8c1,90ff390c,aff7e4c3,4188f6be,c3526afa,2b29f953,f5044bf3,8e583c27,395c9f8c,979ff539,b4198e17)
+,S(8a4a7b6c,3b598e42,851b0913,209a95fd,edf0f8be,6f152b33,1dac61a2,6f9b6997,53c457a9,f8926415,63e85b0c,b39ac9ee,69b31c65,5e3bc200,d37d86ae,d4291997)
+,S(a48f69c2,9dbbc922,78a5f8b4,4a2fa2be,f432a4d1,e6fcfda3,8ad60dbe,6d157990,f251873,152f4ec8,fe5fc88b,cdf28ae,acef895b,1d0f0ce4,44105e14,7ac0ff22)
+,S(fc0ec54e,20f7e8b1,fed5cc89,d18a5004,b7aa55ba,7520dc18,c9cbd935,7c78eb4c,17374d8d,36116ef6,49b723af,62a48350,4bd47bd4,c17c7990,fb0e119b,47f21ba8)
+,S(8203924d,9fc7e5d7,6e3c593,ad439d3f,8512c0fe,5c298163,c8caaa3d,f7b39755,a224b743,258a82ac,2dec871a,dca1dafc,2bfa8e33,b2217785,2b97e57,2e1344f7)
+,S(c4f66a17,a595217d,58d5b5b5,da997a7c,79b870c0,f5fa9dde,e146fa5d,c21f9380,13bc8ef7,ce6f915e,fd7a3522,f5fb9c3b,ac603d0e,343d344c,74565eb9,e8e3c777)
+,S(4341f0a1,efdd7d68,435f1998,559e43b7,7d1c6780,d3d3e7e6,212efd96,5b30cb47,1777a450,1a693970,c2bf759b,a253e716,b17cd5eb,9a247d47,cc382424,48ae90a1)
+,S(865d8a50,ad3b8c21,f8ff0e92,8e853789,a607abe6,e155b04b,3b81d80,c97c29d4,2a506b83,c4166a1e,fdc32c2f,b2d027e4,837d9989,a82d08ee,a31a46c9,dc72b272)
+,S(d8d95cfa,ac50b79f,3189093d,50b03b38,3b798532,3f01ba52,d76f033c,83c832e2,cddf6560,d9942228,5a3c0f18,58a7c27d,fd7b8bac,9b23477d,8677a1a3,c01a8454)
+,S(d09fa59,8ae65883,60247b05,519aef86,2b1c5196,d38aed11,e8350fe0,5bfd6cd0,45f51a97,67445680,37b1bde9,86696834,6dfaca49,719c5174,a9f9eea2,92ed4ab8)
+,S(e19796c9,c9b48a5e,59556b72,9d9b8073,71cd7267,812b044d,637aae50,d6d3d1d3,1b86acc0,d904a31a,b5637e18,872eb31d,32617930,2f3d6bb9,36016653,9f218d89)
+,S(6a88899f,be0c3c82,96fd27f8,6f89283a,f83df13c,a273217c,fef69d8,b048afb8,68ba38cc,bee044a7,a026ada9,d51e8d49,97083dfd,f65bd483,a45eb58d,5cc774b0)
+,S(e5082ab6,a112848f,9f5f3362,8be3e267,87e24cbc,6d5563c0,7addeed7,ee44662,c3c1727c,d0c09130,8323326d,210a68d3,68bcbf81,bb3814f,dcfe6631,d42968da)
+,S(795f456f,5d0cc15c,72ea286c,c881d8a0,21294e05,cf80ef7f,4497caea,92235487,bea99154,424f54d1,e91322cc,c52d3a51,4627fb1b,2fe9062d,91d90177,20530ccd)
+,S(6e9e5f96,8c233f4d,8d2bcb8f,25d9232b,f2230e9e,fbafc89c,dca17498,8d7909ba,3f8b0b0f,e60aaf3a,89f5de79,35f9979a,ac3f3fc6,fb161d3f,29ab2ad5,d50411e2)
+,S(72ef1e88,89cb7f22,19b4a7ac,92d5678e,a04c898c,5b83128a,1f7fa8a1,63772f28,dffb88e5,3f348c29,411e4d47,3ccd7d41,8a0617a2,6a640a9c,4b03aa08,15ab10d3)
+,S(4a91fcd4,32f6d2e7,ad20787d,749524b2,e3e1c348,31b41041,c311421c,1aff04f1,bcd9108e,6e8c6da6,a15156c5,5c9d60be,e4aecad3,b0756cd5,81b1eaf0,ad300b9f)
+,S(5f5255d9,8c7465d6,63fb4507,ac985629,8a434d5d,429d5a9,7b645256,e2cebab2,7c38536c,31e7331a,362fc944,38510aed,bad4cf29,bf0e7cab,c995ac6c,1fec04ec)
+,S(866b5f8d,a735ab93,e84f7811,a33f1604,40a51373,7b52e675,7f212c8d,65c9eb05,af2cfb6f,9e32f412,5f1c66ac,61393756,b8c6016f,9d45a58b,43e16c6,d3549be5)
+,S(636aca,387e767f,4702fb3a,d7b50b4c,4b40fb78,2c8c44b3,a298051d,bb3a71f1,70e580b,6993c9ac,5a48c2f7,558773c1,f5c4ff3f,aa929635,a2a44e97,c0eacae9)
+,S(31a28d8c,2205f5c5,75ddd861,df94bfa,5b6b6e38,83797d1c,7d4a487,5fcf7f7,a790eae6,788407dc,89df860a,9ac25011,8b8c65f5,f47e0bae,6aae95ee,2d733698)
+,S(c7f36e08,bcea178f,7acb0b92,fdb32411,a028ce88,be5e3480,a47c2c88,891827c8,5c285010,4742764e,7df86e80,e6e2d975,472abeb1,bd5664d3,a994289c,112a9e9d)
+,S(85a82c69,2a5e248f,42a3f0d3,e092840c,de52e31f,19a2a161,85b2ad10,6afd92d3,eeec281e,55c79f17,332c4ce0,7ac4edc4,a3d75e67,558b4b3e,4dc86532,6132155c)
+,S(e67482d2,4c2e3a75,3c1fa968,bf120a4b,7883d00,950bb0bd,ef5472e0,dfb09287,f9801b51,e0450fcb,9e405ebf,cb535355,24db5e9,91bf1572,6f446aad,34ae4194)
+,S(c6ba17e7,81fad656,c9c93e54,36409414,c58e2761,b0297b8e,1811dd68,62779f1a,92583a9c,515a096e,8691b384,4104419d,c4e86966,4da70b3,afcfceb4,b9d74c92)
+,S(67cf02c5,a616b59a,ddd421dd,15812e95,f36e6d16,af501663,9e60dd4,a8706b24,7856ad72,8a5f0d18,bf4bc3d3,75468f85,7bbdb1c1,206fcbc4,7ae66b5,6ac91b29)
+,S(72bb64a0,aa8c690e,7bb6ed99,847488b9,f37490cb,a7fa120e,a7b5df10,8fce4b61,6057c37e,198f6428,3b9481f0,53441e97,dc827cde,edc55410,5108fdba,a14d81bb)
+,S(1b132067,209e179a,5b77977b,eb81aea1,c480b32d,81729c5,32d100df,310575cb,67482a94,b5ddae4f,cfd613eb,68680dd6,c8172553,18478bf,79b5c07a,b0cd817b)
+,S(96f5f126,4b68fd7e,f633330e,f32951c0,3716b62,7d1f3368,703447,f9dbb5a0,941fa02f,c6262bcf,dccb1cdd,1637c9cf,719077c8,1b26e7e7,2bb8fe4a,4d530e19)
+,S(95335907,9c15cfa4,a674ce65,113127f7,a1ce740a,ecceef55,da5ceed8,e4e56a51,57ee067a,5f506b14,5c1c20ad,6e5d6b11,9bca103a,60c2e6e3,b5049b4d,db15baa)
+,S(72ca7d41,76c687b2,1125c290,e737075a,3281ce7d,76b72725,c7680956,e0463f23,1e6a85aa,246b0f1b,324365fd,19809840,242fef0e,6d658cae,cc84bbc3,ad56af44)
+,S(d5376a10,2cf819b3,a439feec,b04d9fa3,c90d76c3,b9bb749f,bcd6aa26,39ed5ea,3659d2df,266a0ff9,c2854f6e,f5a5ab04,1c0d8547,77fd4f75,320e064c,c4d0a4da)
+,S(664a26cf,a965b59d,10c05dd6,e0aa4e6b,c66f356f,bb61b699,113a83d9,e0a2b4ff,fd191a92,c88d577e,47e725eb,a3c38b3b,9074bc42,16c5d6b,4edb3af7,2c4e20f9)
+,S(7729abf,ecf9ca40,e8867936,7fef2d84,29bd877a,56f36780,1e677273,8e8cba7e,d5cb7517,42c9de11,84dcbfb7,5c9e139b,a59b6255,b59c7ef8,539de55e,7a709d36)
+,S(c6d5f50f,e8e784db,630bc589,b4df5810,a2001482,9ca1608a,cd3e3634,7bd8141,eedd06e7,95d063ef,3d1627f0,bc7ef37d,a4846580,61e472b8,89679d3c,d88ab294)
+,S(baa60dda,3cf83a11,82dc2ef4,f79d362e,6b32304f,896d30a5,b363c639,56ec70d9,cc9e6274,75feba44,b93451d2,753e94a2,85315277,7674b3fb,c67490e5,3627043b)
+,S(370243c0,92b957c4,74df755f,e0951321,49dd3669,1a89fa84,e43a0668,8ca235ff,bbe8ff04,6600f245,349fbf3b,1c8ff04d,8d51185,3e35d13b,30deba91,84383ba2)
+,S(1182291,92b1e768,2abe56b1,9f90e41a,c882edb2,27b25559,ce4448cb,dd19ff06,24271274,e6156ea9,e3f82ba2,8a72d476,8509dfad,b985c200,244687d5,8a11c1be)
+,S(dd134e0,e4fe672,38716aa4,edba1ad7,6879be6,8b5bb029,b32704b7,9edfb2b6,7aed5398,40cd7dd4,7e94c224,151627a5,62f6a519,2f0d0b5c,416e6f1e,5e8a337f)
+,S(ab7e722f,458d3acb,ad28a29,2f90cd8f,c2e09b2a,2beff3f8,f08517dc,e673e3a3,522a2227,c724f9bf,1ae08d93,c4c6ffc2,f5434173,7fbfa502,d6e49b1c,2ec4c792)
+,S(2fa16842,ebebd6fa,e6c67327,bd5fdcdc,7e985b1c,22dfe307,23a9e2dc,ec43df8d,f027937c,9624aaf1,ccbf7c58,66bdd9d4,5bbb279,c2a37813,9166b720,32030773)
+,S(adf5e014,e1f18c38,fd1863cf,76a6dcfe,65827107,fbe0eb99,117a859b,c5268bc5,c9cb3584,728b1771,16985b28,f5259aa5,279e15a8,1c1cc6b9,2b9e5f8a,6206961d)
+,S(d939322b,a9b2cff2,6a2b1c4b,5ffcd96d,822dde66,ad0aca31,c24a8260,c9fc6d26,162fb654,6118a68d,7fb88bdb,3e3ab784,9278a5eb,13a940e3,3228580a,2258c8f5)
+,S(18fb2621,71f79e5f,46c0087c,ac8e55d9,66f29a49,e2c91363,58900787,3d7e3a6d,cac82dd2,4a0f75ee,adfe906e,ccafd36c,5b0c97d9,cb150fcf,d08b28cb,83787a05)
+,S(b8c0ac07,5d009e4b,5ee44298,89864cf6,fd54092,df835ec2,6658c902,57b670d3,2dbc6d4b,6ff28cc1,14e1f34d,2b6cbe52,7ca7dead,24f84681,4407c4e,a0df0bdb)
+,S(6477536e,43a3ba01,8988c8ba,753d732f,9ec061a3,49f7826e,2c426ae5,3f2232bc,ede465d7,6b7798de,832e5f68,512cf3c4,d17282a5,ef88725b,36d8af1,5c5d2679)
+,S(55b052a6,52008a83,41135e55,ef7de2b1,33eca8b9,ea0c4800,ce4f8019,5f7067db,a823cc05,63efbc19,d47c2c92,5771497a,ef6377a3,8be0d23c,81a56f06,25c43e56)
+,S(c86a02fd,becc3647,16c58f5d,f3f150da,6ba86499,2df09dd5,82b9653f,10cc9289,263d1b5e,eff52a27,1a9c46ee,8adf1194,1da9d3bf,e69f62b7,262099af,43d6fe3a)
+,S(23c659e0,3a59381b,3d47beea,60f0244f,66af0596,5f903297,c53aeeaa,d143e90a,1c14650e,3aa16bd5,b67e6077,be307cac,2bd2cd39,b246d6f7,216d73dd,dacbaf64)
+,S(2f6d8482,734aff4e,21094c39,2c5fe833,1c8f9756,4de252c2,f6f690ad,8b2fa9d,8b143db3,7e14b40,3fa98a74,a81adc79,c34f17ce,5c9e6f21,68770957,1eb639ae)
+,S(6d58e265,d6b08c0b,b050ee18,5175a9ed,51b5c64f,d523ab35,ed1457d2,f9caf153,d0675517,eb71ed0c,4fbb86c6,a2b4a7df,259a7795,3293777f,3a87f620,2265edee)
+,S(4af09f2f,69d7b9,6676f472,d7f2009b,f0bb6f0,986f502f,322afacb,7e9d570f,1f93342b,ddfe5896,52e8b64f,a348f333,5396012d,3e870885,5b31024,f14f8e7f)
+,S(813e446f,87d923ab,ad8b8649,71b1ca39,d00217f8,232a71cc,d6346798,3a9a0e9b,8ce9f4b3,541a8029,f1476728,2bedf1f4,367ff257,60f2ccce,7b273b2c,dccff418)
+,S(53c4fd57,ca0b1eb8,7f5ca0f2,3ecae8eb,c44e9c19,aee3477a,3ca8524e,dcdefaf7,b3db3613,aa916430,a3227d73,35bd0532,74c122b8,18e4ac52,858e513f,c3ab95a4)
+,S(e0f8afc2,ec89411,d926355,2c33af71,328331dc,9c9452fe,b0665c39,ae90121f,13523c16,1a00784b,f15d2867,15cc05ec,227248ff,80082e73,ecb139e8,f229eb4e)
+,S(fe3efcee,6b82a5b5,a8c9a51d,ccc11f01,ef8f1a7e,588ec4b,17ba1369,cc6bb80b,be17246a,4d8660ca,98d57f07,ddbabc29,650f9a89,9da60a53,d21c6c96,dfdee15e)
+,S(8a5182ea,591089a5,11ba9f19,ce4fe062,31b7e2ce,ec4cf75e,5c11094b,9ddc8de5,73688cc,f13d97eb,19a86c2d,8b010406,1c69ca94,fc9ec90d,8ada10ae,37503600)
+,S(2d95aecf,72501ef8,e20bc117,22dbcc09,38c552f8,f4e0596c,9974d62b,a99fc884,7d9c418e,e1745ac9,e8f5e4c3,9ada4400,e65acb22,d336bcc9,fa2cdbe9,97f7de88)
+,S(7908e4f6,ede4d311,3dfaf114,9bf6e40f,e1f8e33d,72094448,5105a113,21d18b80,11d92d74,9b011e83,5e06d7e6,1103cbe,bf958d8d,bd47d0b0,1ac2ad22,2f7d275)
+,S(2c6dc24a,687d8437,44baf725,c75e7524,c0e6571,f32817f4,40183b6e,cbaa9f95,9692bdaa,775b832b,48584ccf,713421e7,5074f1b7,ed5477f1,4335db2,7abf03bc)
+,S(a019d9a0,4a9780c9,43dd65fb,b87534cb,ab7c0831,f845e724,d663578,ec7bc090,38de35e6,faa2a1ae,e0649333,898a6ca9,264dcdd5,ad9f289d,ef750110,9bc99d4d)
+,S(ced934dd,5c15335d,d050af1d,a8295d2e,bd9b8272,58d689ac,f4a48d85,5ef8a0d9,bc0c9237,1ee7fe7b,69c7c100,e5258c9f,1d68b6dc,309736e4,e05718dc,3a49cb6b)
+,S(65e5ffe6,502ea7a1,47fe9c98,9cc745a3,b5262bd3,888069c3,92d1d1f0,a08dbb83,c80ee080,84dc5e65,de8df271,c1132cab,b8be293b,69a390a6,fb3932e8,51ffaf38)
+,S(f4466d47,2365b665,6d1947b0,6e67e393,4c0e4f3b,91d52ea6,1f4588f2,4d217655,17afe3f7,2d384ccd,9beb59c3,d64353ba,57713f03,b8644e3c,eef45db,c74ae84e)
+,S(66a80bd8,ec0d08ef,3d9aca5b,4329198c,b949ce84,7933ef2a,10baac28,dc98cea,7457685c,600a707d,5fd5d527,9f309b9d,5b14e668,1656869d,b041ba77,97029537)
+,S(240e3632,7c3f4c63,afdb84d0,8586bf90,9b359c8d,7012f9ff,aec81986,4c44d597,a701b76c,d369e013,7b627216,f75d0ec9,fa208b66,2d7075bb,a6b6d39c,6a1cbb30)
+,S(137f0df8,cafdb26d,36e1b57,c427ce08,444516da,ad1ca806,9dd60e2f,2ee23f92,c2922219,9e4e7bf2,f9159138,13e68273,6bb6a998,6c015caa,43cd30a5,aec74a49)
+,S(965fef87,a63bedda,fd4b2e35,e1d0baf9,17d5850b,1f6beca4,64d4fae1,997d3a41,5f19603,369108a5,c599ce56,22bbf02b,cf541867,a57cff2d,8b527148,30124ed3)
+,S(1e2ca98e,519c60e6,cf7ff3c9,51cde109,209188e0,6c68f4dc,c22eacf1,34a4125e,edaf4c8d,8bb97032,89f9fb0d,d0023783,fd35e779,41773a00,fb4289cd,ef8411bb)
+,S(e8e0e2f0,378595db,68f96e6a,882752bf,df039778,e261375a,47fd4394,2b68006d,75b42822,1e2fbf9c,42772d35,e4bf1e0e,8d3b1ad7,92ff25ca,a488b51d,4ef7186f)
+,S(a405f5b0,28e89d81,79e7fa9c,2ebac86c,ffd20ade,60dc5226,cfe6c91e,5c2f6634,c27ea4e3,b0da9e58,665f507,84225107,7893d6cf,5225d5d8,a06f68d1,1d863550)
+,S(bcbc3c77,7367168e,169f3fcf,dd2340cf,9e6af955,d6038a0c,b763f036,6f4564cd,c7c120cf,99138201,40ec5339,ec23f5c,1ac0dd73,c9f947dc,e19c034f,7e7a502d)
+,S(fd569bd5,14843a2d,e86ab2c0,475e0c67,4959c04f,bc230255,db3e82d1,15cb0758,aea9c73b,bc083366,fc5e31fc,90a1da72,66a9c43a,9d16f6ee,67bd56b7,9c354cc9)
+,S(c2fdf561,eca2e3b8,f1107475,9cc43b9a,789ef592,e8afe885,d88b9dba,469c616b,678f57fa,fb2e42fb,bd1482d1,e22c866e,683e4fa7,6c1d2714,6540610d,9cbd1360)
+,S(50f20965,510b3317,2836e1e2,d6e00ea6,160a9c71,2aa30bbf,ac527c62,9d8f4088,fd9852c6,974c603,7e88bf45,a279b565,d1246924,e3c4a0f4,8877b716,69b68141)
+,S(3f293417,1e371e20,cbe0a858,e5984175,ba465906,fd64a7e6,161c8a7e,5847764c,763e8dbe,571ac3dc,1e803f32,7e2f4585,7268774f,1a45c50,9390dfd4,96bd374b)
+,S(8276d399,fe32e931,65f2ef6a,2f4198e7,944bb9a3,226b1a55,fff52dce,d2b92b3d,e955a591,5c496a1,623466be,88c45a3,f545527b,4edd4283,582c03f7,2a2d897b)
+,S(e77e7701,f4b405c3,5c8b7a6e,ee7d0637,fa1f566f,d2a2cb64,531dbcc6,19a9e474,23fae4c0,7661e588,365ddde2,63b97f2,cca2023b,c70633a1,41a2eb,1d3799cb)
+,S(7ae8112a,732d6428,25aa2eef,10298300,42939628,69e7eea9,3fbc7b3d,2c5210a2,3590e349,f878af6,7f7754f9,abf4ffdc,4d4f4442,48c1e039,6071271f,be5971ce)
+,S(f9fe96f6,8e20a422,5b563483,c1d2389a,ebd8a97,b1b9accb,ed7bc51,8077771e,cf3802de,20b5ae42,b1d1db65,b033f2e3,602ca08d,972eed63,9234e1c1,48542478)
+,S(b9c5eb6d,ab28292e,49a76b34,49cf903c,dfe79b85,f7797623,924a4295,bf0cd171,adc0a5d8,18926d8d,7bdc83fc,72b2ed11,19b87592,900ae961,ffbb165c,4d5bced1)
+,S(b7e25a76,3f3b8bd6,1c57da51,bd90ab57,1df3fcab,28003104,30c44fa5,4a6a5765,c471aa74,babc3fb7,dc80138c,83940e42,961f80a3,23e9741c,c44607a8,258141d)
+,S(5808e4f3,e01937f0,e9c887ff,8ea3a34f,8fca4d8d,7868a9d5,7de6d854,a0582d71,fee8cfef,2d78896,55dc9560,68e1a23a,4308a8f7,7962c2e4,f90b2ddc,87f011bd)
+,S(92ac7dd9,8da0a4e6,60964943,3887974c,5ec4b32f,875c02ba,1163d06c,b424793b,857b2046,8104a986,a0030596,62039e60,71c8f950,b7f7f746,16fcacbf,b8eee5fa)
+,S(5c38092f,fba5798d,48d0068d,d1037563,1f40a693,194584fb,7199c409,b85d52b2,32b1d628,15ee2555,f582f16d,d59c4658,67691e1b,389d1fe3,222b5444,294ab391)
+,S(ad7beb62,cec8aa9a,b619693,eb40c477,53e22897,a0007693,f10ce664,21d5c15e,49f98176,a360297,42402a93,26e34a38,cc837278,3873b076,f887c811,e2bd98db)
+,S(aa335f87,c61f2e9,7d87355e,2a1c2e51,f2a0ac92,1cfd3cb7,5189f256,386ef185,b39741b2,fc158d6a,435bfa8e,1a68eedf,13deab27,388032fa,fa22d649,c9c9a8a0)
+,S(854ef509,24fa2fb4,9b7b7b49,44ad8c9d,87627883,60ce8bd9,36e64f12,a550356d,c5af2246,96c7e32c,a385f7e,3eb8326b,7d9e3537,43a95c8f,3010a160,1d6f534b)
+,S(71b6366e,42a8e2c5,31ad6770,ff01481f,5a39c54a,d38e0ac6,f068117d,8d5c9d5c,d6684df5,92f085cd,aee8313,59bbceb0,1a357edf,b36f8e14,706245ef,f01db334)
+,S(3a4d1869,55b698d0,5e760d75,8842bd1f,cd869e84,c2c29e44,4ca83bd0,3408d6b4,5ddd1b14,15ff793a,80fc196a,83ff2736,e9791418,fba7eb98,71b51269,170d9904)
+,S(f596d242,7e51e5ce,403d673,cbdd71b,75550271,dd2d7d93,79883258,9d3c5739,cb9ef0ea,f6326a5f,83e40428,79675f81,188763b1,ec06fa26,3d7793cb,82b4ceb0)
+,S(4bb25028,b5598090,15286b2a,a8858e52,227f3b11,9075077b,3083fe16,77efd4ef,cb63c7c6,9de6503a,d33ee35f,95d4533e,1e978f30,2762b478,e88d18aa,5c4ff098)
+,S(77c7c018,4c89f974,df648e0d,ea57ee40,73acd63f,c6e22a55,6269ca4e,a5dc1c99,978faba,232a2b0a,9cf3de55,976ca950,ce3f197e,e774b2e0,d4bd1e5f,e65a1b41)
+,S(834d038,926b1ff6,13dc9001,7d021bf4,5bae5,d3741460,db681332,61975c30,f5624b83,614f5e82,10190b34,9f966fde,cd4eeefb,e3e6b046,b3028d6c,3807b475)
+,S(370045a0,a7f8a64c,a2b9c64e,85a07fe8,9a7f725b,2cdec8db,258b3d3a,d9cf379e,cbec192c,cfc58b62,6b89d6d3,9b4bf622,81e308b2,2aa3ddf,51d45561,37b1811c)
+,S(61302164,6103ee82,1c3103d5,f4d2aba4,645816cf,a67d94d8,ca53dcc2,92ca36d2,935e3db4,5ee1789d,ed8f0ded,ac0430e2,7317f38a,87682850,9568feb8,15e20a1d)
+,S(4d6868cd,4df5b1eb,8d27e045,ef04209b,c1dd0bd7,aa712937,8f7bc025,e569d90f,dc0079be,850ab0ab,ef9881ac,740140c6,958e12ad,edfcbd79,2f446d78,7157780a)
+,S(43413ee9,a35c7c44,bc95369d,38d9e7ed,53175f17,6f9eb54,6df98540,93105549,9eaef64f,45b421d1,ee80731f,ed61f658,861feb4c,72b5b2b0,ec659825,63172f7b)
+,S(1e728340,95183b28,a443e00d,6ae01921,75844d9b,ffb1c77f,c00d388a,80a6b76,d1931ac7,fccf26d3,a2ef72ec,e8c7ecef,c51ad264,ecca5748,7e9cfe5e,d798428c)
+,S(7b5995f0,fb0b8246,c588e393,4499404,415f0d03,c9174317,6cb2f4ae,b06960c0,716c7849,b6963a9,f1a7998f,49cfac4c,42a329f8,77d7c8fe,5b35f958,ceb9c0eb)
+,S(9c5efff9,2be6057,f5223d41,87fbafd1,a59c364b,239120a2,fa1c4596,4fdad960,4f4aa66e,e42548c9,4d6cafa0,81e59ce7,ab65cbd,78027de6,b1edaa,25e6d7dd)
+,S(46970472,192c3690,3c7bd061,dee19fee,5f3a973b,a70430f3,581abae1,3a61e55d,4d232a77,62e04a36,c62894d3,41665ff9,ad8ba55d,353d52cf,44f392cf,7787922b)
+,S(add62a3e,583dce2c,55e97257,b64c26bf,5e86b0db,92962b3f,a54e7c52,ac00b32e,3c700f82,c5365611,f3cb1ca9,cb6b0c2a,dda80e04,617142ef,eccfabee,178d3dae)
+,S(526115b5,34b212fd,9836a98f,853ab3c1,24bb68bf,afc1d641,b47d08d7,39566c4f,29c983e6,2a4de19,4efa5b2a,9cd4971d,6a86c8e9,f535d599,ee04db95,120fdf4b)
+,S(87908ac3,ee8f4e5f,31aa08c0,ac97e93b,81ac75fe,33bfbff0,7d4f0934,7c911f45,b756def7,52c71c51,3f69235e,8d515d6b,f3289a5,a579b999,a695a2f6,49586ba8)
+,S(2d6e6ed5,d2ea8912,6797b396,8ac1b0e,f876904b,acbace80,a2613b35,d9bbdd11,b1b66613,50ee7a2b,d149ec9b,25a502a1,6ba6143d,32da00f3,13cc389a,7c0e480b)
+,S(f076c9e9,8590180d,dfd36cd6,160c21fb,7dc60263,77435e74,30f74cc3,c46533f9,2c9decd8,6da7b49b,1b4d0a8f,47aaaf9d,19d9e8bb,365c383b,63726f64,ae56fb98)
+,S(fb52489b,6d101de1,2f51720a,60a78207,84ab4dd8,39d05c9d,a3b9c349,a74452d6,f1a967ae,deb5329e,faac7381,f3f0bc76,9eb8cc89,78d5d56e,f382a17d,4c3baf4b)
+,S(dc1e911,53b3435a,8f23cb08,a7b52f64,a5e2870c,9345896d,ab4ab880,9710241c,3468d632,eb3a51fe,133381ce,2b5dc9a1,64f8eb68,9c019b0b,7e48d504,50e85630)
+,S(2d8c6759,6c7856d,b7062c63,2aaffbee,46779bdc,777f0be2,a64093d,41d4000,c7006eca,b64904f2,9cd7baaa,14a5226a,e5c4b3fa,68c62cf,65789066,2eb8e8ca)
+,S(31e9d361,fa0041fd,bb73665f,2e1541f6,c41764e7,78023272,478cd7f8,e9552f06,62fdf441,4effb45c,5408a0dc,c0a78041,cbe39cac,562659c,ab8c2b89,1a940c11)
+,S(792f50cf,66aa0f00,68bd7fb,ee12bf44,e1fa6662,41c43d2f,275a248c,29459830,633cf86a,a3f10f31,40aaffe1,d04ee094,aad1cc56,129149c3,2702c33e,40d91e3f)
+,S(be4f52ab,8f6ad1f0,664e4d28,b67be76b,c3d318f3,9f455708,94060e03,2f8547b3,22ffbfca,44482e40,19ef36d9,209b4262,48d62591,7d81b6a1,57ad945a,1878b4c1)
+,S(bb693c4f,7110d2d3,8bdcd6af,d8b29b43,80d003a7,d0f6420b,e8d02cec,3e7cf385,3bdfb9c3,948034e9,31904f13,e3dcfa78,13d3413f,5c2daebc,744bac87,9e4314b2)
+,S(56e8a65d,2eb188d4,64dd4280,b987b5f9,8b92b8e4,34b6bb1d,1800fc4a,f8f2deb5,11cd5d14,63777189,f8c7d19a,c692461b,d21fa20f,f12d1976,3b915fa4,33006cbc)
+,S(f09d5cee,514e56e5,9566953d,f8600a94,cbad003e,9c898261,5bb998f6,a5b8cbb4,d07ee0a9,a0e88f5d,6da3d918,d5f309ca,7234373b,d528cd8c,21ee9ca5,3d1bafd0)
+,S(58671c9f,687ab0a6,f6b7c687,ef546765,7f29ecd9,d6250088,d588742,7b96fa6c,70355403,abefa39a,72d89348,9a8251c2,10d59df,80b4d284,f3f02246,f3f6c60c)
+,S(e47ec1f,8a7169d2,9c05cb96,42ba126c,aff841f8,c2edfcf,25ec9303,772eea78,ce97644c,ca60474,4c269973,fdfbf169,bf0fa377,61737dd3,77692b9b,ac775c9d)
+,S(ed95cc7a,a24a4ed4,1dfb019e,31abc80d,93ca5c04,b0515f2c,492e9105,efdb12cc,1602bbfa,f17e8c16,30ab470f,bd8fd829,b4a466ca,9f210904,7e0903c4,e012d789)
+,S(b6fa3ced,a07a9cf4,db717242,9de8069,216a7b51,4145470d,d811755d,a2908a2e,64f695ae,7f19c7d1,17af6ca9,36dcb2df,8715ff96,c8134313,c111da69,7a354dfe)
+,S(2e3047cb,4d210007,39b8d5ce,e4884a5f,ae969eef,898a600c,2202da33,239b3627,197f37c0,7c11943e,40328e3a,3c7c11d8,f2d77d16,84532631,53b7cbd7,69808c9d)
+,S(df9c446,7a691cae,b8a01ec1,a4a8ebc,fbbacfc,ca347aa5,39d56853,c14ecd3e,acf9554e,906e86ba,8459c108,d49f7aa1,e1e4b2ee,9957101a,f16d43f7,7dfaf6aa)
+,S(d452f3bb,2e3e54c4,1f68267b,f846f504,99f39f28,5edb86cd,68330ed9,510aff54,52c5d16b,41eb1029,7f86a30,28d1b610,6f6c5aad,61b63bd3,53d95b2b,fd214755)
+,S(cc196d06,9ad60096,c4ba1057,fa4fcd9c,4a50b28b,78227074,22d531b9,dd85a5be,bd930456,14388283,b28cb67,758c792e,5f9d6c0e,2d4c1a86,745e0504,ec902b24)
+,S(4974252f,9c246a45,1187b1b6,546cbf27,af9c21cc,d03c7b37,df7a604b,a3b6859c,276e69e5,b85e3241,33f9ec76,d628fee8,3af37bd8,def6e677,bba19739,9da14305)
+,S(311548d2,d9f880a7,17e77608,8574ff4c,185cb0f0,a9660ef6,7a94d090,3e2fd845,82b2dfdc,2d0ca2e1,d403c1db,7593dc01,2043122a,fb50961e,d5f86174,18a3d7b7)
+,S(30068568,4497d5d3,2c98d3ee,1136a9af,d5bbc79e,340528cc,4e0b3c55,74e867f4,57c141af,fd650050,79ea563b,e9ebb161,a7725bb8,e41e3c13,ec528b2d,df23430f)
+,S(1c223f58,1f03b4fc,68024db4,876b743d,8a2b635f,988340f0,d22c389c,43d130a1,9d99aaea,d3bd3b1a,9891dae7,4a3dd857,3a86b643,6c623c00,6604b211,4e27c133)
+,S(a675c89a,5d453821,429109cf,45cac77a,880e0e6,396a0b4f,16053ff9,eabfe4c1,8cda99bf,c3426739,c4888767,113b7f4c,9b321a61,1b63b4d1,2dd50a79,d80b90f7)
+,S(e990a236,d7854ca7,3e40c661,93dbf3ab,74198351,1236988b,cca29eef,772b32c3,a3d42c05,851b8138,ef1bbb7b,41510bb6,fc893baa,928c98ac,91127b3b,a100aa12)
+,S(2a6eff8,af4b8049,2c3d31ed,f6672d1c,d0b231d7,6deeb590,a8d0c4c0,83586027,2a7427d6,951e07fc,4d5cd4f3,ca8a3415,8f0d03c2,3cd2f250,541c0f11,8013a623)
+,S(7dad1061,9c4a7bd5,1edf6813,daa8fb4a,2a9e494f,9835db8a,42f4b0ca,827df50a,3e3b2b7b,a44500d0,277b792c,8a529fb3,41667560,1c4e443c,9c2fb2e0,dd17f1ee)
+,S(39d5b162,fd48725,1bb42303,b7b8887b,92180fa,ddbdfb7b,a14ef2e0,3cc32aa0,3a8bafa4,5645e4e9,bf4e0175,69fad346,210e65ea,fa92b971,413a2190,b64b6f09)
+,S(f9ac329c,ba09d60b,5aa62bed,81e9ca15,7a3bc53d,acd83836,89742ef3,cfcfd795,9c2fff50,aad80c18,2e6593ae,796ada7a,e0a42a4,17ce77bd,ea7be927,161be4ff)
+,S(19adeabb,6e9aea9c,fe245329,623b8bcb,3554eff3,999b0b0b,8e035450,14cd964f,c570d99,99e9c62d,a3321f3f,a548d43b,99f05df3,e17273cc,2a45a3d9,20654cf8)
+,S(978f705b,eb9b6009,22285468,521eddae,e71f6521,1ae79567,3b122090,fd4eb3c3,8eaa7bc6,1ae92adb,506f9e32,c66f5457,4e1d929b,ef4953cd,a1cd3f8d,c98ff8ef)
+,S(e29b57d8,f6808d6b,ec982a12,ac70afca,1c9c19ff,a7b0c724,4fcc5b0e,3dc2fcf1,f7d60b14,133721c3,471fd91a,864e576d,84e5a06e,b031b1fb,3a2947b2,a33b159b)
+,S(72073aee,f39510e2,81cca2d9,7831e533,56cc6016,9462a9f0,45100dae,3443bca8,bd761539,177458ee,dff87628,d155c9a2,d6a00e26,51158def,6ce72c35,84d56a3c)
+,S(c949cbc9,48db844d,2cd04810,433f982a,680b6a95,e3461ff2,108492f9,247fefb3,162ca70c,c9f19d2,d3da47b,3b0a2361,f5c21492,a12828ae,9c0ff9c7,ef1d7b20)
+,S(9acb7d8c,e958f7e5,189676c3,e7248ad7,9f717a67,2d4c80b5,9c425663,e078810d,112dc86f,1b241c26,30d87412,2faad000,473bce32,95bd6989,8b6a4521,7773284a)
+,S(e468a13c,e5ad4c24,4df9aaa5,e13987f9,50900b4,a32ba33f,430935c2,1250e4bf,61e3e755,a91bb2a5,3fc2ac70,bb232b2,c1aa356,d494656c,5df93232,a866e400)
+,S(26779f67,75d8caf1,46638c17,71e33b02,b41c61df,325acbd4,506199c1,bea8310,e9de26b5,c076eb9,cf3436dd,d9bc7f8e,5772720a,a8401227,7af573eb,65a769)
+,S(8c408da9,a816c7ba,ae2846ed,bd923211,926e5e5c,ad595a5f,f2dbb190,f48857a9,89373ca7,e9f3f96c,1f0bc7ee,d427dea,99808bd3,b943964e,f0db4bc4,a7a1256b)
+,S(9ccbac95,d80bafbc,b7e699c,aaccea8d,3169db5e,328e1519,825a3f4b,adee6a19,5a8d6936,a2859d57,6accb35a,5e80c944,4d71612e,76cd755e,aa3465b0,dcad8aee)
+,S(34c7b7ed,6fe88bc9,803567ae,71ea7c28,c9511f60,e2ebfa8,fffeba31,dbbce2d7,31a3bfbd,c42cffa6,c77aa417,955c671a,426497e6,b35efaee,83a58bf,84de02c8)
+,S(7940ca7f,c3bc810b,5679456b,88a73cae,4b2abed8,47260052,ffcb33de,edef6155,8923cf73,9285b368,d32d690c,488d8b38,5d3285aa,c399fdf,6e263daf,4e0b35c5)
+,S(2cb10da7,104ff7d8,d8f1742,43425c2c,5e8773ed,71e62e4d,cc0c2d4a,56ac3a08,610cb16f,53ddfd28,7a7ff301,a8047555,801c13b4,81033c94,4e145b1f,98458520)
+,S(ced78e5e,58e2893c,3910bd9d,d43fc362,ce06dcea,f44c5aec,ca17eb0e,cdc1fc53,c66050cb,835c97cb,c08ae0df,242895c8,f0f0085d,85a020b5,122e041f,8fb09607)
+,S(5e83a4f7,7c4cc672,a7a381f3,e527c8fb,331e8d75,f8578a85,39ae1007,51903f24,545cda31,25c29fca,b343c22f,824c86e8,89f2cd3c,d2a6f3b8,9e3308fa,2968b8fb)
+,S(c62958f8,33217811,cb099492,fb8c13a4,5b3d04b8,12a0c1f1,68cac595,e7efcfa0,e179e98,1b92f1be,25c9f892,d6a71ef4,62f3e1c5,43127fe1,f2b711f1,bf61aba2)
+,S(7eba00b2,f151282b,83c7fa9b,5df6d9a7,b764e7f,42ca29a9,2734859f,a2f0f016,9e3162bf,a619123e,8e87728d,da825814,4b760c2a,3d05fc2f,1fc25565,1d72a7cb)
+,S(8f68c1f4,83ce557b,98d96444,4a2a7d2c,a05d8f25,e6f9f909,cb44b58d,a030cd90,30f15dc2,17e7ce70,a6fae901,70930130,8f7d8706,80c43840,765ee89a,5f864e00)
+,S(393d5b72,a9bbc392,4f712195,51ba7f65,4bc4df18,cf93dcaa,bace126f,c4262b5b,976cf232,fe59a3eb,c6514242,19128395,2945cfb,f792e4c8,19248346,37f16e9c)
+,S(e1648650,d0d4ca1e,8fac2522,cda2a042,bc93b879,2d6f870,29c6d888,a11312ca,4d919105,9ea261fd,9470ffb9,e60c703,6d21da3a,ce975880,39e1a820,c636f269)
+,S(efc7519f,4676989a,a12d823e,8e49b1de,96397ca2,11fe729c,cf0fd67b,bc6d6a74,3f304e50,be6dc6f1,b7c79979,4ae38ff,ed11a253,778d0294,13a98547,e3b889d5)
+,S(85726e3e,aa8f7016,1c3629c2,84b7a7ef,79259de0,84f8bbf6,9358f66d,a439133f,756800a8,11a472ec,a72604e4,c2eea080,94971b58,3738e7eb,2c817250,2595e47f)
+,S(2e238f2f,de3c39e1,19119541,9eccde3e,b0c4fee3,e432fcf3,f58c4f77,4ba070b1,7ce6b671,c0c79a82,2fdcb88a,a10a8033,bcd0e1a9,2cfab941,d052c09e,4e5e4c81)
+,S(9cdc6aac,41e79b7b,ae77a7b9,bc027e99,1d4f8c1c,2b4913a3,1eaaf1a0,9bd87f24,9d666c3c,3503b9ab,d609b074,743f8a3f,460c0122,ad7a0cc5,a22a6d17,9d948ba1)
+,S(360dd1e4,608c9215,287936b6,97e5e819,390629a0,7bec616f,7fc713fc,5ef8ec3f,7628d770,5c744125,d5885c2b,de25693c,5afaf8a,3d5739a5,deeeb5e9,ac1c62da)
+,S(8657fbee,524c5f5e,25aecdf7,7306c97b,78119e0a,5f155c4f,37918e87,12302d35,242172c2,f90ea26d,b1f7d2cd,dbb9af4d,78a1660a,32402a83,6e598c92,df9e999f)
+,S(3ae7e8db,7b069528,acea3e0a,dc005d52,7ca9e1ca,dd3d3cdd,5564ea86,5e1a453,ac203ebf,98b7e46b,bcad5156,cc058857,f32a8d62,2114acc4,55cde626,591fc5c9)
+,S(81bdb0a1,9852adc7,afcd9775,54143362,c7e724df,884f1a2e,796d88bd,1c1696cd,2f189af1,a90f9445,353d0549,4d5562f7,4a3d37cd,1362d92a,aefe0393,9b46ef0d)
+,S(e95b0171,dd117d45,263141e6,95ceaa52,3498a8d9,d1f09ae6,855fad1c,5e5c3e8,dc8bf907,ea6a4824,9cf930b0,bad3e3a6,c179fda4,107a0812,76f02a9b,9c689416)
+,S(20e3979,e95fb62e,ecfa4ff1,3aa3fd46,94b24ab,c814f560,ce180262,11b70bc8,c9d01545,50f1d7be,da471272,822522dd,d6924a98,f6331fd1,cf6837d7,db91da1f)
+,S(e0405598,cda639ec,6c058a61,4c39d56,f71c43ea,693f9b86,c9df1bf9,e4fef30b,9df9b561,a7bb2ebd,67b67031,a92dda6e,12550d0f,5cc2368a,603ae64f,ed20ef3b)
+,S(faea8667,646d1600,2dbbdfd8,74a59ddc,a2b8024,b2f7f6f0,f2c2036d,ab5c5e9,8112167f,ed386f1,d1e02307,de202bd2,363cd1f5,fefe0621,1c4564fe,eb0220a9)
+,S(f01d6b90,18ab421d,d410404c,b8690720,65522bf8,5734008f,105cf385,a023a80f,eba29d0,f0c5408e,d681984d,c525982a,befccd9f,7ff01dd2,6da4999c,f3f6a295)
+,S(5906b143,9b994465,c9f3d4fd,f7f09a4a,b9ae0864,262b0140,def21014,8b097533,2917b92b,d0368fff,6e6a98d9,18cfeda4,d039c73,a3cb865a,5d77abff,9fe7970b)
+,S(d6443bcf,53ba252e,925f5ae3,5d508732,a3289059,308fa67c,7b051ed9,66b6cc92,e0155fa0,366a2d1c,af8d2c17,a4ad9cf7,f4fc0102,f1e1ec13,7f1b2b51,1af0e7dc)
+,S(b95a72a1,dbcfa0eb,ed2200ad,b57d71f0,b96a9703,8bd3cba5,78eff5f4,e9454196,f89c7cd9,783a4c34,1bdd05d8,241ec4eb,d8815463,4d05cc84,d5601f4a,6f3fac0d)
+,S(50b287b4,d8b41f03,88804ae2,2b56abc7,be632cb8,a20629b5,3a00fd3d,9a879b6,67c3bbfa,4d8307c0,bd32106,57f5c0b4,78bc070e,53a3024e,1ffe103e,e5397076)
+,S(64feb83a,5a81f6d8,8218e2a0,4e6f97b4,6efb89a,6f394264,d905c93a,cb7e5493,3fa224d4,eda77580,4d6ba88e,63df4c3b,5d9fab1e,519eca92,1ada5f44,741d5035)
+,S(9434b5f9,2d63c2c,c90ee2fd,b7f7289f,b6277c69,3076d73e,cc38b032,bc8b5cd6,c940b3a6,4c04e6b7,1de7f727,d6fc0883,29443276,6d2ccd51,6d24dc22,3998aee9)
+,S(a6db8e98,6d1bda8,995015e4,807b900d,704f8d3b,8ac5fc49,aa16bc61,82390724,3277c29e,bf27d0b5,ef8af507,5e295f23,92c41f29,3803a8b1,6ce601eb,2abedbd0)
+,S(50733cc1,dd80ddbd,b254ea6f,14d0679c,6839e6b1,73aa0bc0,9d0ef5bb,bc5c2f9c,246e1742,a5a9172a,ed4e1e0a,9c0d623a,5233334e,47bcb68a,aec41101,92771eaa)
+,S(4252122d,5a89f621,2c7b0a99,5ebfa8c3,b980e142,f7a89e07,d4788d91,1163ad99,bc63b87b,fda041bd,f9ac11c,e2e8ab3d,a1368cd0,2e276b55,6419e0ee,3d7fe284)
+,S(6bc86411,d3f9d25,bad0a922,21f0146c,9173cc99,d00470ba,a41897fe,b5678f5,e2c1cd75,3915e977,c20d4508,1af1946b,1d8c5926,cca74ab5,c4ec0bd7,921c4cda)
+,S(c786df9c,6b2e656d,a30146cb,14da5372,64683e46,5569b1dc,df4c1541,580d40a0,b8d229d1,d8773d5,dedde14a,dcf8816e,acaa274a,1f4ebd01,2086159d,1feb32f)
+,S(f42032f7,dc6dc676,5b1a9453,74ee45f8,486e9b94,6a57e651,7dfefb0f,9ea3164c,ad2d7a22,e477f5ce,ad0fbcc1,fe2c2533,78920fd6,cd9ed4ec,1095fa88,2189131a)
+,S(3c2fb5d9,a5bc7ad2,d4ce0970,5090a5fe,ef54a6ad,7f8d827b,2ce51785,b29ba5f3,3ec2d878,a4d836c1,71f68648,f8cac869,472847f3,4c267139,5f38e0b5,e96b653d)
+,S(b182d837,dbb1e47c,bdbe559e,f30f03e9,ae1efc93,a5a165e3,10285bfd,ffe47303,c40cbcdb,d7f1fd56,c486a35,67420a7f,e4ed4ca8,43a68bdc,81eccbdd,213d7c5e)
+,S(75a35130,cea9cec2,81792d7f,ffe84375,a4aec378,57496122,9a77270b,43b12391,988821ee,b6ee31c9,8201a90e,853c4afb,8e330592,6349d405,90c4840d,fdf3fb5c)
+,S(a97b9c85,97362b4b,aab43b64,db7e5e0f,3e4cfea9,82939289,e5266f09,87fc8503,ccb75937,fd647eb6,7da4aa7b,72e8d873,c9f035a5,cfa120fd,4d4881f0,9924d8a7)
+,S(d129bad3,4c7674ca,60a6f07e,1c1ee8b4,aa3dce4e,82ff890b,cd256324,13a56fe7,b3c8d404,7c8610a1,a56af634,b54dc568,6af075a0,a0cdd4f1,75855fa6,d22cc4c5)
+,S(d8a0aed3,cf37542e,a0f06c6e,754503d7,3bd693cf,c3c357f2,7445989e,137f73e2,ba4ad8e6,3bde0d8c,42172a7b,59e1f4f4,581f48e,cffc45bf,929d815f,8133e6a9)
+,S(9f905bc0,a5f479ee,6162ed38,24d74a1b,d6d48bd5,4611f840,ab1ac55b,7b84be18,5babdad,4248a4ef,4606dd26,1807e25f,6206dc81,6eeaddda,fd8b5082,52e3da53)
+,S(d51c86e1,4519166d,c2aa7604,c88670c6,ca44a84c,6735f692,ee4dda79,e957b85d,fcee6753,29130c5,f4b260a9,cc7efb73,d51e6ec,8ac1ec52,28ca0ab6,51d5b8f0)
+,S(ce251fde,ffdf0f59,5a563941,179f6f8a,86402b2c,6bddd1ea,7b37b89,bc649102,5b26a79,882b2f89,79610eb6,5de06e02,b09412e8,bbff66c5,cc650211,d1b9ccf5)
+,S(6168ac7b,101fbe73,5b9339b6,9c459fbe,44a6f6c7,bd488beb,bf0b81da,ce511f3,65b6e531,f350983a,2f55db14,588e92db,436f7068,5117255f,ed474aa2,53b5c9ff)
+,S(aab2deff,7e77f414,59d4361d,2722b448,6530f0c9,46b93d96,975f5a96,eb4bd091,b416562d,c5b057ef,7e63ec2d,daf0aed4,84320d7b,60695809,c6fa3aa9,e4eaa431)
+,S(9ebed934,ca30351f,44b7ea4f,f3f6453f,6d0c7f81,869226c,c8f4312f,d413056,766a6f8c,311550eb,a8500ab6,f3466ca3,52e6b960,c4a52cb9,870ff784,4191a2aa)
+,S(a2e78d35,d51970c3,42d03a09,bf3286c2,3a131ff9,abc4bea6,352826d4,5fe2da0e,fcb844e0,4bdf8d96,f423c499,44275ac5,8885c384,57975268,ec8cd880,dc640346)
+,S(1a49f352,5203a773,9c7cce34,d21c51fe,dfeba5e5,c0f21622,eb954621,e3d6726d,e617de36,7c6a9283,8d4bcfd2,bf2fd21c,15b53007,6a0367b7,6d6ea65b,af032213)
+,S(be65c6c,de6c54b6,c0c4d306,65cb4d61,211c97dc,a74c57b7,13f41028,e2d14832,d7875fb7,5cce3a40,9a74e48a,9b577a04,4c09a43a,989606b5,b44fbade,89e6c03f)
+,S(a1572e58,60b10c96,bb3e0b6,7a047d4a,9957448d,74bd8a44,823de9cb,50aaa639,5ae37e0d,88c9f6d,173026ac,58ef45fd,17b0a0da,40304954,f9671c56,93946d1b)
+,S(21917639,b6ef2333,378bafe5,fed1780b,24d9fa82,17ee49e7,369099a8,8c9baee5,fee39df,4bcb318b,4dcc4017,7f1af605,f22c44ec,d67a15cc,297f02fc,dfec4eb7)
+,S(ac2a8d9b,b2219c98,444d03a0,36db728,ffa182d0,d31831ad,f2643010,bb76d3fe,adec7f18,c9474dc8,d0741d1a,5e72e479,c8b86f74,327fc5d3,cd79cf86,869310ab)
+,S(c540463f,bf62ef36,a972d797,2bf79054,80b8e67,415f1895,d42d261c,165d1b86,f04a3516,83039c2e,8bac5ef5,1db4e105,95a27e25,cfe680ed,e7d840e4,f70e50b3)
+,S(df63238c,77e75ec9,b844431b,d15007d6,56b849eb,4b6902b4,e79f0d6e,9527ef29,63846f3f,dfba6f2e,46bc7f2f,17af5067,a953cd0b,dbe2fef2,52e73be,b8a17330)
+,S(43dd347a,1bf0ee84,ad774d4f,70c67cea,594946c2,94cbc330,15bbdd21,890998d4,b6f58d9e,e6e13c1d,b65dbd28,2343d8d2,3f73035a,b4399672,15b0300c,f7dfb48)
+,S(5af8e3e7,f5ba9d80,73c5c1e3,c8d0a62,52eef1c1,17043e01,7d610f20,8b5eff0,246c7a4c,6f6e75aa,eb60e256,756e6365,711e98a6,aefa5345,adefb632,321d39da)
+,S(60e7513a,b327df8e,e3d44222,95e0d886,b264f560,1c4e3d03,3b405d37,f6ae8518,4c58466e,b68d6c81,33fa6639,12f4a12c,a4a9f3e3,d4e0f6e2,7e92a85d,4d541cd3)
+,S(126520ec,f3129775,786c4d64,7226174d,3ccaf5ae,2e4a1514,90e1b691,f07946a0,d5a2544c,efec281f,e70f05e8,2494085c,133fb918,6416435d,4b7fe673,88c440)
+,S(b588e8a0,2396bfa7,8512585b,cd0d0e4a,7d14b5e9,f76e1426,b4591c9,6602c585,d7c6a7d0,827852f9,e34942f9,a6f5eae9,cd0a7f29,d30057cc,46d13e2d,4ec04caa)
+,S(257f90fe,4409ef7d,30730e37,d7358c7b,60a1cc21,57acedd0,355d7a1c,89b5750b,b14da56d,9aa8fb67,b2d1260d,8de63c00,a9a7aafc,6fb890a0,e1a148ed,5e371201)
+,S(8072b8cb,47c71331,9ed2ce85,cf913c87,85955c84,d338daed,58528427,3f3a4a56,6d7a0ed6,bf3383be,8953b47,d93ac5a5,e40e8547,2fc6d3d7,71f89007,f8d20d39)
+,S(fab935ba,b2b72a27,b338ef89,509b3830,b7800817,19c2b3ec,8467c736,24ca2640,2a610c06,77fb514c,b224dcd6,56c5136d,88f87f34,86fa0699,eb71319d,c85a103a)
+,S(7c6364c6,4906b7c2,e1ca0d87,6c163932,7e8e146b,afd94c83,2330f990,f979ae52,c97e7b44,26b91f6c,88ab7e39,d57f7b7d,4a5e0f9c,ff15aad5,e58e7017,d51c5317)
+,S(98beb1ac,48c8824d,447a10cb,43b51167,b8e7cf0d,9eb4e4c8,43403b03,2208570c,1712c13e,ddff8fd5,191fdb28,717efb74,ed52a9f,f47bc21e,b15838d,fcf00af3)
+,S(f683a667,31241c44,4adcf062,156f3fdc,d04e8450,911908e1,95bbea2d,8c5bf918,460eac53,48ea1e78,9fdef168,a150065e,1e4a2f83,85268385,3355586c,87453f1c)
+,S(38f065a7,165e5d4,d31238de,8dc38f43,4dd024c6,6eca026d,de03c4cb,b43639a5,790bacf5,d35a688b,130bdb38,29073b8,28837b9c,9357544e,1e44d766,e401d044)
+,S(cee8a218,2b3004fe,76714511,30340b0,7cf10241,d9e933c4,97ae84e9,a1d525f2,ed373709,3e0eb05d,3ee2823b,25bbbb11,ec943848,1a3ceae1,89573d71,7a596b3d)
+,S(164c6ee5,620f4582,35520eb0,8276d85,9a14e266,b7b59576,d0a3e0a6,636f124a,fe92dd66,139f02c8,76ff6e57,8c769a4d,63484072,5c909bc9,481d4a52,f60565f3)
+,S(d4606a18,1a0bd363,eb63849a,81c77d0b,942ff14e,7f885c61,d1fb772,78ef1008,81e7b2cd,e7c5d9,29e1d69a,309a334f,2c01b084,e82b789a,835a7aa8,5d7e93a4)
+,S(905f5725,1df1651e,83aa8b3,dec2d96b,a32155eb,90d7f985,b3ce5213,2092be07,e4acfdaa,9eb8995a,a4ac8a0a,2b66cbbb,d561fe6b,389c56f,3af6f62a,d7579632)
+,S(2e3ab14c,d3aa69de,a35a8ad4,99130302,b16f3d3,9df06b77,7c30e404,91eb6dda,ade534e7,ea0217a8,88c50bf4,ef81dddb,a5c7ffbe,bc0f90e7,110df2a8,e0c7c2c0)
+,S(98207cc0,23f50a6e,5f5ce8a5,68c5b24,d4f4f741,94de76a6,d1e6f44e,72619a9b,fdacc236,bd424684,52508806,b08fabdd,98a15b15,6751953b,95b4c5f1,40bce374)
+,S(b6d8bc0f,894863a2,3a793c3d,a33a5e66,cafe8696,f9cdd40e,777a40ea,aa203ee2,7e9b246c,8555b4c2,47c45fe1,d1e5d160,c7ed7d37,a3a43440,deee6ef4,15dc092c)
+,S(56d030ad,eb30f1b4,7f806276,651a56d8,7f0d8b6c,458092e1,61351368,8cd0f6c3,bb3a1513,155c5885,e084180a,1728902b,33e1a61b,364c8d9c,94d67ca2,e386f131)
+,S(77251aac,f919aa4e,b7610a77,ba27d94,c85b973c,af04c885,92fe5272,a48ec088,ef27aac0,593cc67b,93535bc8,4d0a04a3,e8a865a1,bdf65312,85beac2b,d58e149d)
+,S(cb7b6a,cbbbdc23,64711585,6d80df3,2ec9aaa0,c6380b3e,677299d0,13658121,1f818bab,72575e35,a60ce7f1,c720e9ce,2f59b086,63cba841,ea288920,16a40ca4)
+,S(4a18eb1c,bddb4c3f,ed44fdfc,6242959c,29720142,21d10154,c7fbca68,5c475d0,bb24f347,ebdcdc0a,6429f8ba,49065475,9cce87aa,8df10496,6d2ebcf2,97e70ffd)
+,S(384286ca,1003c97d,7d151032,97d81cfb,e3e3dbbe,5dc70c76,6a8dbdc7,c1e625c,7201deb,638d2ec,6cbb4db4,e955ee1b,a3015cee,e06d2ddc,f024daab,8f07a277)
+,S(84b6d6ae,d5e00e31,73c24d39,80f05cd6,f61625e3,11439a55,e03ae2db,d79a7d55,a3da9e1a,4c32e4f9,a1d326c3,6670296d,3ffb18fc,266e169,a99d4d00,4de383b1)
+,S(aa1cab51,f7239cd4,dd27a4c4,805e614c,5d972cbe,c2830ebe,7daf6ed8,781c37e9,cf8bb72e,535fc8cd,12a2f4d5,e8f9e257,38a28812,1c93b061,5fd4fdeb,368be5bf)
+,S(7c4f183a,f4abbe43,d7fa6d5,77ea6c14,83302f2d,b863a7c5,bf072e51,3d2140bc,1eb08c67,a417c0b,58fe8185,1a66902a,a608db07,24dc38c6,706bb80f,5956c808)
+,S(dc30f68e,58ff30a,4bf2f6b,28b30708,506140a2,1a971c04,8afe04cf,94b54d31,6f996e08,8d4f7f53,aa1c2050,644a47ed,bcc1da4f,519978f8,6496ba1e,c7be2688)
+,S(145185a9,ac6b036f,d0d3cd25,c904b3b7,c8f1d0ad,3ffe5f89,d87b7804,8b017426,d7f6acb2,828ccbc0,db0708e2,79db6313,fc955d2b,cf9e2754,1a7535e3,24c7bc90)
+,S(e8700138,5c0bc4e2,9911f29a,e39a5ae3,ad3cf1cf,d690cbef,32f313ea,fd190fa9,92d83708,2e5139d0,f8084001,8ebf8703,da250361,466caa96,717edd0d,6e7ada7f)
+,S(5fac0aa7,9963a1e4,5e1c668e,3512d0fe,2eb2c709,d5ecc71f,c862d5dd,523f864,9c7bfd73,445e7d9e,139b96e6,813f1f80,2ec632c6,a76e9dfb,8afecf40,2788d16a)
+,S(441f40f6,f3ca4dde,5a085c15,57f14cf3,fbb7c3f2,5716c33c,63ee90f,45c564e2,c81f1205,1179c2a6,f2614495,322cf40a,34cab55d,c90d61b4,d1bc3787,ec3baeae)
+,S(a4068c1f,c63d8f21,203cb6af,b37d796a,3c454bd9,db974ab8,e8bfba8b,b832b043,b5318b99,e9354250,a837f8cb,cf8d9cde,d95bb1d,1db0becb,1e887535,4ddb96ca)
+,S(44563417,c647b097,d0238a57,74998fce,3c809a26,f6d2b71c,eeecebfb,134cfad3,3f417680,1c15172c,ef636dc3,12742429,13d59079,73ad09c3,9fd8c6a,8a95104)
+,S(d57a5fde,47873327,728f5706,d2f0d64,1c5386a9,fdc41808,a2c062ab,942acb6a,cffcd62a,c0c85aae,4a6b7881,f3be170d,9836abda,baa47d60,8c0b8f60,f9aaedd1)
+,S(9dcedd10,d495fa2b,6f4b4387,57cb38be,d6f09949,17e7ece,7de913f7,8cb111fd,73196e22,59d4ae9,950725dc,77321567,167d7761,29cc32e9,d92b6dcd,4c056223)
+,S(aea290f3,a4ffd405,d51f1c8b,5f11cf74,60f05300,a1e24c08,25b96910,b24e32c1,f6c100a6,3c918f8,f64ffe8a,95840421,dc384635,e3465cf8,65034bde,17ca8eb9)
+,S(bbfcd317,5091846f,181696f6,35fb1b05,802e7659,7ca97040,31339381,46812234,2a0a4ebb,1f09b31e,aab4478,89000fbb,5876d7e2,dd889393,3001a977,8aaa3a15)
+,S(2a3b4e65,d9d7661c,addfe1e1,96beaca3,ccbc0348,dff6d2df,21f394c7,a7f4594d,74c6f171,1a2c0c01,78bb6a27,b6e17cda,bddb7260,acbc533,a49b19d1,e0b4a110)
+,S(d8e47e32,15cbe145,aaa9efec,ada428f1,8d8c599e,98d2f9d7,8177215c,c85dc2ae,5c4d4f6b,aadcd87c,7ac76eb8,22e1c0db,e7c81342,702bfd98,e193df1,809e0511)
+,S(5b5954d1,25d77778,f3c1514c,6256ef65,2ae0ab97,151f8856,dda6c87d,1e04a34f,1c5ddf3f,b185edb9,14769482,95e687e4,40497582,26b36fc6,3502922f,cd1bf81e)
+,S(e8097e1a,12c6837,a8f29eec,31ccbd16,f191e7a7,d7b199dd,d6d9ee6b,7f26ef55,84ab3d24,e2c4407b,53e4299b,8de1aa8a,22dab9be,b6efa5c,5715a943,65174b9a)
+,S(495ebcc5,b0573416,f2b3e705,fe4a4bfe,1e756211,5f37b8a2,dec57688,dedbdd45,3bc65725,6783970c,7696d5a7,b04ac7ca,8c627ce9,251844e9,e7cca774,4d385be7)
+,S(4ffc69af,b9cf40ff,c94beac6,aa020109,b7855e0,a993984f,5e59ba16,fc78ad51,6d43d1f9,e3283528,494c9783,cdcbe9ae,2ede071b,ed494c57,2539df6e,b185ca1)
+,S(b047e0d1,afc92251,7eaf5c0d,a9d0a093,fde5e829,84c8483e,d256640d,166dfc75,dca2ef00,a282972,d4bf67cb,74fb31af,da5b8145,ec1b7a65,6636376c,504a70df)
+,S(ea7b0b93,48e0b3e2,be800ed,6ca4b121,277a496e,84fb6680,2658f68,37b1d530,cef40d2c,e1cf820b,19b435bb,a541ff1c,fa572b1,ca3693d0,cfeb3b32,8ddf918)
+,S(e35a53cc,ad74738a,bde75a3e,e2b10d7a,d4ec39bf,e32e1daa,ecc151f3,bef1966b,ad06a8ab,a0296c17,fb24eff3,b27284c5,6ebca204,f6eee752,276ab9a8,1f1bce13)
+,S(70334511,ae9acd50,e094f034,17dbba05,4a104c84,ea8d6250,13e1f8f6,907261a3,d1f603e0,5af2e1df,4b8eac69,b4067810,c302ed18,f02bc964,2eba34f6,bc67e84a)
+,S(13adc074,c3ea8877,4598d0b9,ad653285,c81bd98d,d4bb6a43,c126db2c,d1f08d7,4bbda9d3,c83c7a64,fcccf3e2,c4251a7e,f61966b7,ec48e89,c991d44b,9588c83b)
+,S(4a2a5fa0,71702fa0,934b66ae,7c003f00,306f07b8,625d92f2,d2276efd,18ce5f0c,f9c2f4ac,d8c594a4,117a836,7fa5224e,a7ccbe60,2475e3ed,b19a317c,5feff6e9)
+,S(e2f7dc14,79bac0e,a95b5a2,1a9f4e,8c42a23b,8f25d09d,dacb9a3b,fe3ec638,ae6c82,c4f3dc5,41f140a5,2eb6b0c,dd0e200e,d0d951b,e85efd4b,b9b086ad)
+,S(eb1d6d07,8f6b74f5,c48a913b,8510e8d0,5cfeb954,856f3ebc,628d0db1,a253963a,f3d73300,e216d14f,d5a67c35,91b362be,f13818c3,36a93784,875ce9b4,2cd8c7d2)
+,S(a22c6d71,1d79ae71,403feb96,6dc11adf,253a5d3f,d3d74b44,5f7268bd,84b52277,86d5212,bf37db8b,4e873476,36201714,3f295f0b,d69d2187,8904a53c,831af06)
+,S(42f7eb02,797cc76a,21c95db3,c9a0014,4ec5defe,553a45b5,1b701c0b,6f5ed3d0,60525877,3cb86452,928e37d,ce19e2ad,4da63174,2f049214,9f9823ed,ba679519)
+,S(f5250698,b37da26,20a3a80d,a9c1c88f,792677a2,6d2b9fa5,49065339,ecc1e95c,b0826c,66edbd2c,5562bb14,d6f8df25,a5d0bc54,7a1163dd,4a8dc1e3,7d140266)
+,S(b845d4a0,bc8db805,43526506,cac5c093,cece5c5a,85750d54,317dd78c,7bc10832,e38db2fa,207ce0b4,d9b01ee8,b174a24e,f28591c9,9d203ca5,7d90080,807279b)
+,S(4955d281,746b8c9,4bac7d53,26aa28c3,9fba7149,7b4fc036,f9971f7a,870a67cd,ce72ebf4,aef6e987,3fa5cf3,e66ec918,911885ae,848aff22,eeef12e2,e50e6cee)
+,S(20fdca2a,a03d6105,50f2eab8,d5e7d47d,c4e2e9ed,e6d2c7b,bfe64d75,176b9e9,1e077683,2c44d6d2,19d19c7b,aec0a303,f4d3d5f6,4ad8ca35,83f87325,6aee262f)
+,S(418de9de,9adbec78,769eba7a,cab3853a,9a85ebc7,2bdffc86,844d0f32,15de4877,20d521c9,974c8ee0,f817ee37,a0fa14d2,eefc4e05,2c93ce87,ee665898,9e49c5a2)
+,S(135b5a4a,f64eaa0f,d288bee5,c1bb7846,30df305b,5d3b13da,d8c446d3,6e13485f,3e571c3c,fe32fe42,669b08c9,14a655ce,828f41cb,12b9c18,9234f4eb,1aac0437)
+,S(7eb64f50,5e26671d,21d3b2c9,fefbe094,c6300348,25248e86,5daa8939,f8b7e90d,be847834,f303ae8a,55ebaf3b,5bccfd61,6284e836,13eecdae,ab43bb6e,d4d4e986)
+,S(9ee1ccd1,670be914,f9b7a070,962f7ac5,ac9d069c,eb3e0748,72db2e08,32870fd6,7d3d9dd4,9e71fd68,4271b17a,a8203ab6,1d2bf6d5,2fe3773c,78a8ccbe,d256cfed)
+,S(a256c06a,796cffbc,5c90d91e,93ded565,b9755b7c,b760794e,e3060b33,3c217e71,e9ef8b6d,7731c262,6c93fb06,b7a6b3fb,fbbe0e0f,54682409,e5218a74,d4a064fd)
+,S(dde8a9af,ec32c1fb,be9470d7,a435b4fb,bd34416d,e703a1ab,5188fe8f,f721aa4b,e7dbb850,aced2fb2,fcf5ea6b,edeaf383,e4ae0fe7,98badf41,66e58f13,6a87f3ae)
+,S(fe88599,811d0e9,f780d359,2e8106fa,2f54fb6b,ba1df66a,b7b0b41,2c130c49,b3b0b8b3,c7f36d43,86f30438,1989d885,31edab91,f25251b4,e01b3d3a,6ec97f2d)
+,S(d7da001e,8a606b37,ca65ae71,32214cf8,258dd422,efe0fc83,adabd56d,64b0467d,97f503ce,8eee1873,7e422bdf,91f051f7,1025353b,3a1f6f1,545206f8,2a32aa5d)
+,S(65237583,e3e1a640,c2c16a9,a49d09c1,f5dbe2d7,a3845989,574abe33,397e747b,2296a1b1,e2350d8f,14a6fed3,afe30fac,a45ff345,9f8f515a,370aa260,d435f7a3)
+,S(419a8e03,2d8fd27c,afda6538,9b757550,313307d,12fd185b,4d2f026a,40ae1de4,2932ea7d,3421d738,d821030,f75b0343,fffe9d25,8b605cf7,e20f6b48,1a94db03)
+,S(275d261f,7ae2ab4a,4ad1fd66,1621a223,7ce08787,beaeeee1,a537b103,c0a44023,da955bd0,4ef1256c,9e184615,c4ee666d,c9ae14c7,d95caa7a,5dca6f11,1e5e2e58)
+,S(3ac6681b,d0a2968,290ad83,cb0e00c6,6a9962cb,4c082366,953e294,58ff3651,28348b56,38ede228,7578cf14,ae385066,4595a2a8,d86282a0,edcc389a,346066d4)
+,S(d4ba242d,9407df55,a9f672b7,e01cb1db,99ef744b,d24d3e47,9b1841af,a6c1f05b,9e395144,aa1fe50,9d72d086,4a1673c5,24c4ad65,fb7bdb16,cbd52053,1c6f11a3)
+,S(c6525077,2bd399d9,901d57b5,7e8fc941,cae0f5fb,6d47ee3f,5b3a7cea,3fba2e83,629f7edc,a6ec6b0c,579cf9f1,867e1bef,e3bf9bea,8d8e64b7,2b18532a,47280efa)
+,S(f12daac6,d38fcb00,c2425a79,2c52225c,a94d544,c6b96076,7ec9c885,d6d4430d,1764feee,2584dee3,abf2aaf,737a068f,fa6aec89,6c02e2fd,cf0ccad2,7ee8f210)
+,S(db858a7f,4a84d88f,236b5994,dca409b3,d7111df4,f7e5c009,4ad1decd,82036673,c0606c89,e4b13042,9e0a63f5,1c93b3bc,95d98832,d89a9515,2e5c1874,f2c94a53)
+,S(237f5f80,4d4c50eb,d611b079,5cbc6567,101ec8ba,1a265976,64472f7f,5a725ed3,b558d31b,7647c4c9,1367d696,a67e5d88,76454900,f340cd,5b8d7490,9fdd5993)
+,S(e962e9c7,7c97cf36,32bf0a88,d6e939d2,68af9fc6,ebca96b8,6fb679a2,d953eb20,931395ff,a50a854f,5aa29314,c50c253c,c3175739,9c2eb20,600b0217,9f8ef48a)
+,S(890514d2,14b57796,85c0cd66,818d182c,3d285af9,771c7c48,92ea2ac,115a8c3a,47c5a,a4d76cfb,2a62993b,b499df86,fbe7e130,d4758235,7decd72c,b61aee8)
+,S(8b058976,295a316e,65da1774,da78722d,8d729f88,5ea4402b,f20dc67b,bab7f815,aeed497f,57d52480,23b94a3b,5fbe9c0,e34d0039,2d57b34b,377bda9e,b8703335)
+,S(6a4685e0,7d96a793,d55a6416,6b089623,755fe549,3a879fbf,fc9a5a74,7ee7991f,313ffb6d,98044c92,f37b3f66,81f1b4b2,d9b2e42a,7c34a5bb,db45b9c,6063aad)
+,S(65157530,e4ffeeda,41064bf1,f8d85174,2b9b8f64,87a05ea9,3d2198bb,3f33fc26,5b0e76a,8f96facf,9d492232,95a0c6f5,6a609504,b9b07c38,a72b6f15,4cb8c9f1)
+,S(9f6c288c,1e04703,46b02d47,8fc0a40c,dfc0229d,928639cc,6ad2ac88,96e55085,2af7c1c1,7210b552,4ae2083b,b45e9749,c9452776,c12d5e83,ce265c98,51266c8c)
+,S(c566e04f,e5ef7062,7d914a04,40731caf,3a7dccbd,5415cc1a,a2d81328,b8a6da75,a3fa5263,a7f66158,67f43270,77d3b2df,8db1befd,552249ad,e96db0d2,8c439282)
+,S(6963ffcc,cb62ca7e,565fa9e7,99db54c3,dcaad601,95bd2dd8,df70d447,c443ba4f,96c715c6,84bed531,27c28e3d,6d6a0214,883aa214,25c4626b,4c11cf17,36b8f134)
+,S(50db27a9,8e0328e2,81139df7,5376bec6,37e9272c,f7c23333,510bf5cc,c4f46b2a,b5221242,9eec82,1e9143fe,af9e7813,c135be82,bfc153f5,2ac061dc,c1302d92)
+,S(7badba3,8f23f854,2404e636,b96e86a6,84557310,2bceb7c0,241e71c6,1ae22ad5,bd000395,b5d0ba4c,a76ac682,5191fbeb,f6066d8a,81c4a210,56ceda82,e13459e4)
+,S(147667bd,5591aa83,26fa497f,c60f8e7,a5ceda47,9d4b2f7d,93bdab3d,81bcbd0e,bcdbbbc4,2adac6ea,413fc3f3,6cd2089f,420a6183,a918bf98,fff27aee,3e870849)
+,S(ee576c33,e8404e1e,11e1b5d8,6ea52335,cf8b0ade,49dd16a3,7a61fc10,cd3eefd8,722bad17,6e083868,b3c14ee9,a70013d9,89c01b5f,44188ec6,7db7bc3d,ca26fe2a)
+,S(8e3cfa71,f3b7d3cb,fe59d8e0,b579b76e,d33d318f,41d3b76,121b02d3,2acdec80,86be156d,b76429cb,ff2c67e0,c015b7d,d0007c7e,33f6041a,d817ae9d,ed5dc4fc)
+,S(e220362f,2df8a485,51dbb7ad,634c4bb3,714151fc,db3cc2f8,e483aac,50d88768,acb8e001,a81eb6ac,99dca40,2d62fed3,8891fe2,eeb8e023,6d8f2447,6f4fd200)
+,S(1777fc26,9bd7aebf,c014c785,25dcd40c,f93db012,31541cac,448c44f4,89628808,641bdcb2,b87e04ad,3ea3a3d4,c364e93,1171b2a2,cf3c0205,77552b7e,594c649f)
+,S(ddfb5269,fcbac0bf,a855d2c4,c9062c77,836af1d1,145b4df5,688b6a5,24c11651,c353674b,9520ea9e,eac3bbce,a85b0709,d0284c37,a7faf78,8b573ebd,67bac8be)
+,S(b01ea11,d4704bb4,24cb11d8,b42411a7,3f227c84,dc10eb13,c2b20a1b,bf23258a,240844e,9ea3edfd,948d2df4,51538cba,ed57f157,d0632f2b,8b644570,5f9ccaf9)
+,S(934e20a,46fbb416,fbe829d1,46bebdf5,2220c0db,958c2a9c,64244713,4509cabe,76b7a1cf,79ebb5fa,58f77e64,4395d33e,bf90c0be,37e7439,c3d29013,25b0dd76)
+,S(15bfe959,5ee58bec,791981dd,13ac5380,6615ff53,95dd4661,28c23f59,ea236967,d6dd460b,d3d36bdc,eb7d3ba7,745fe6c2,fddba241,fadcbdee,44f377f,bd43ee00)
+,S(5e1a723f,403cf56f,8019797e,6f8191f6,6e7ccf15,dfb1965e,590490b6,224ecd24,97342532,36c48696,645a7e60,552eeacd,4cba990d,6d73117a,dc6f2967,a6a0fdbd)
+,S(1485fddc,85c819da,8894c1b3,8be82eee,762a052f,3830dbb3,7d21ee74,868c778c,d779373d,d503731b,52f9e689,805988c0,b916a579,921c637b,286c580,93343d5d)
+,S(6f4b7385,f881c9ed,202ab6ec,c8302626,668a1296,36274f3c,ac4296e9,1eece7db,fcf6f192,c6c80fff,3f5c2bbc,7c6c4a5b,b0ea2e3,70799827,440e998,cf6b26a4)
+,S(bc27cb29,33ca44d3,b56280d7,7d69af2f,9220f4aa,49aa0fab,685c7c54,62adaf76,7607d5b7,a02c5e21,cfafccc1,26e8439,88c10942,aae6333d,b5262426,1ed4da98)
+,S(76f86b25,2530d87a,b04e64c2,4cd1e05a,e8324bf0,a717280d,3845cc5f,a6a1a733,2db7ce38,33bd24b3,55e95b89,ae6d8a54,19124761,e382745f,2a7347ce,fd7c382c)
+,S(5615175d,2ec968f8,81dacc1d,1bd6c06b,df87c9ab,53fdef11,335818f,bafa918b,5f755638,6154cee9,e71d21b9,cee3971c,7d41e3e0,ca2c1ff,f66982b4,d66fec25)
+,S(6390f1af,1ef24aae,20e2ce29,dfe9a0d1,50b2826b,f5cb3629,8e0dc16d,ee2bdf8,cf3e2b98,4f120d10,16f82e1b,8916928c,263f3323,52bbedb3,c29ae1ed,b0d49b1d)
+,S(bc5df46b,4fbcb83f,7aa53579,ac8d5c3e,8482941e,cf848810,f9239138,b57e9378,d4d15516,624e72d5,9002dca8,3c8b5914,b224d4c3,75260dbd,cda88f9f,2f772627)
+,S(3d069f1d,dd52177f,cd802195,c7c8b2ef,1e43c34,9bd88b41,43bc2d54,6a2b8d33,2ba48861,14218d67,1b1fa4e4,2aae97fd,66164e94,af1e3026,8dfe9dfa,7155fde9)
+,S(fa657492,fab9ab23,f1a49c17,40079d7e,abafd7a8,72e481b8,7b30cb63,8a47757c,89d2c7b9,2f1ad11b,d2808968,c426a00f,e584ad83,86dff03c,1a047804,a2e98630)
+,S(e2318d84,61f85ac0,7db07d08,aacbed7c,5f5a45fd,7e505bb7,ac86b417,6b3eb46d,3b0170a3,b6f466e0,380ab984,e5bf4b34,89cbc479,cb2808cb,445614bd,8ab012e9)
+,S(defa0810,91d1db16,fc2f86b4,fa5a7331,f0c15682,55855134,10f41a6d,a2bfa6a5,8429db90,fbb25354,3e77ca0f,e7a731d7,f1a481bb,f1c997e8,5f585844,423ace4a)
+,S(fbaa7567,7306fdd4,8c85514c,bcb78e04,ef4d693a,dc7c356e,f95ad34a,cc880db0,45c4972a,161f4a23,cd71f726,d5617b71,421b68f,b0611097,3edf11b3,8a391909)
+,S(5dd76e24,e3cc0c5b,ded55d15,858f1c19,dfff7e43,b299df43,3ee77b46,2122205e,992de68b,87bd6760,a75d6b90,89dcb2b5,5f0b39c8,eb079ba0,e4451fb,dee8f2d3)
+,S(890c7a78,d0f1db95,75b53e98,a0a63d81,8096422a,3ee18403,ede8ffa6,3af9418f,7a362df8,7430b479,11e8d310,558195c8,fed28b05,531b68a9,1631ef97,ac008085)
+,S(4914f692,f88e858c,b6174e6a,9d4bbdf9,87f0e373,1bf6e69b,8bf3531a,43a37e6c,8751e02b,fa9e0384,2ff3e4aa,307cb7c5,fe4f7941,1069249b,c8b19866,b6169cf5)
+,S(a5f97745,ddc25117,81693df1,bd15203f,9d23bc93,9015be73,c6b4e256,d1d05416,57a99674,cf64bff9,7b9ba0c5,69d253dd,52aa188e,3ec645aa,89466c79,5d0f0370)
+,S(62da0bf9,8d32519c,16fac809,95869f09,b570b953,e0a7bd83,9623a9c9,bebbdf84,9b9ec74a,c960fa8c,2ea8bd4d,93ff624a,9ce54fa2,4a1822a2,37d962d5,64e9121d)
+,S(5caa2062,c25d7df2,23718f9d,ff29a403,e5200d22,bf064b44,c9519742,4c448a5f,6063bf93,1f72f65b,9ca76400,de5f5204,a8a0bdc4,b19cfd12,2664aa33,79a7a27b)
+,S(4a81083c,c18dcec3,5825415b,2854250c,9dc651fd,5d897610,2ceb7691,576ebe60,850f48f8,7ffbf26d,eaad1f8b,2c0b8272,5f7c313f,55811b98,408f8f34,8421f241)
+,S(ba8baaf4,9d0c194a,4814070c,786fd9f,4b8dc012,c42ed667,7b39f67d,da7fccaa,ceaa8874,10bbe854,9e87af6a,15ae1326,d85bb995,19a8c4d5,dd3a8599,d9ae0ff2)
+,S(4c780a0b,886fdcbc,a30f239e,21495f9d,5ea38a6a,7960ecb,ea4dd2dc,9266103e,7e50e1d5,b6c811fc,f86ee651,5d64e06b,26827ba3,656dfd51,1fa64124,224e182a)
+,S(50a433f7,f528d66a,961d7123,7e6d2bf6,7321896,5ec6599d,b1f34b0c,db21524c,6bca1083,9ef8d450,e56829d0,cb23ddcc,81e2e7df,e79b53f3,2f8aab9f,e2eec15b)
+,S(b98e05de,573e37c2,80d6de1b,fd479bf9,bd23a6b7,2f6ab34f,caf03236,c67ec5fa,d86f07e0,8a4c3d61,f087dff3,a2af2d98,58787d2f,424b49da,de0c584f,4d8756b3)
+,S(d0cb5279,e76b8be9,b2e9cdd7,b0c841b3,33398541,24923224,db54a91a,81995433,11fcafb7,28a3307d,2d87f2ae,d107b0b,d64f6030,b89e845e,1f67ce7,4cf7ee6d)
+,S(90c89963,619b1593,d5fd7eb6,751ef03f,aa7c6802,46e36bcc,5d0bbae6,25376720,6e8f2a86,75b803f2,c3c87f9a,98318cbc,61b99073,2b8b33b6,62197ec5,73f64a71)
+,S(bd3ad39b,989c3a08,e45007d9,116b0d4e,2dcb6a14,26a44dc2,29bff230,6c1a89be,7e633d7,de03e6d6,a7a4a833,f338160b,cb914997,6dc2080,28c3e2dd,b1c1b11a)
+,S(1da5082d,a6e4721a,499d5559,91e8d216,f26167b7,d6de224d,17bc4e5b,ac94093f,5f864511,4b89eb63,60ef865e,6eb887c2,bb0b97e3,9a0b7078,888049c1,29f63c77)
+,S(19320416,52e24197,d195a0f1,99818925,35c19790,99d15992,8999073b,4028d659,2cf34c91,2d1666fe,1abd3b0,49b12dcc,f7086e58,b7700b23,497bec18,e057059)
+,S(79a7b5e0,482523d0,85bf574f,2e6e431d,b3bd6ae8,4e921b87,fff0f683,976efa9a,f713e011,70de0de8,a8cbe229,b147cf82,efc7fe3c,d7171785,c85bbbfa,ef935755)
+,S(c2e16cc6,8559a160,9fe16d0a,9be4016d,55fccdc4,2d22ee62,895e0eea,a64436b,22399345,d40c11bb,79b9f036,5fdf6a91,4e1f43e9,bb1f0a87,81d2ede9,fdb6a118)
+,S(f76c0f67,bd3c648d,c320125,5c34a93f,ed656378,8c9f61a9,c60933d4,e2d55d7,205c9c5b,83bbf922,8e99191d,e7ef0feb,429050e8,2b9fb3ca,1dbd2d5,cd35f612)
+,S(24a3af8f,ee393ae3,2c30230d,ed6f96f2,9797d591,1cc3d934,b16e1304,de7bd75a,302041e9,2ce00cb5,d4a667ea,90df7f90,576865d3,7f462126,400c77a0,a44259b9)
+,S(2e8bf897,5f29a6ba,636e6ddc,1e2dcd6a,1373f123,c6f155b3,3c8f46dd,b18baf7c,a93f0c91,258ec64b,d6e18761,872cf0e2,c89f9713,b9008605,b0378f8,1ec867ae)
+,S(a5d35483,7f90d71c,8d829897,b3a8fa36,7c38b41c,879a3e6d,52f2988a,b88dcf68,853a586d,9661cd50,12d1ae6a,1501b874,739405c4,c7e32bd4,23ab7c1,62382bfa)
+,S(51a6c879,ba6f75d9,4480aa71,2a343be1,bb9aebc6,bb4ca3be,de16d33e,992659c7,3e636d28,f8b0a4fa,a3ecd585,80d46253,61f496b0,344382b3,5742fcc9,403e7e05)
+,S(a1d34e3c,aba45bf,1772d2f4,bcacd17e,342b66ec,97dadbd6,780cc453,ff2449d5,6c3a3b8e,9717365d,2f21e2ef,d72308b3,45008ebb,10ca02e,969d14c9,1aaf677c)
+,S(fce0f1a1,69034370,33de7e6d,b2364b0d,4441c5f2,ee405e68,5dc546c2,58adc2ad,c018bc7c,fc5ad1f1,36103729,e1a177a7,495a6195,915ca5ae,c086804b,8c107865)
+,S(e380e6af,c47b11c5,1ba0c8c3,9b796179,39b07cd9,988896c,38011e73,a4f98a81,60ecd299,c22fbed9,132bd455,1f44022e,151927e4,7ad93f1a,a0539c37,2680f6cc)
+,S(6382fb8b,2f4179e3,191d863b,a0ec4cd,94b52103,f24a0377,8f6ee27c,7c81115c,6e8d4181,9621bf4e,3c04c5ea,2b4c0146,dd0ed973,bd4530df,d671f39a,e54db63a)
+,S(c488650f,d66629fb,927dcb0b,9f5d0771,1caaa3f7,ad6df39f,7d8f98d9,65490aed,b395d9fa,46475b16,6beed01e,90c9cfd7,83e6138a,7bbc6d5d,f919d41f,3e512c)
+,S(5cf1f5be,462dd02d,f8d1e9b,6cb1540a,4f1e5be,de9c8d29,954bfb0,217e494a,5e8727bc,2429c9a7,5123967b,b598207c,46105822,5402bfcd,c3d070b9,b2351d20)
+,S(9644ace5,9dba2b1a,f3f3a4af,da130ba3,c3bdefd9,39c3b52e,670ead47,54407b9c,5e83dd4a,e338fc0b,8c501f98,72295400,4b2465f8,4f1c272d,20e3a2bf,300b1b79)
+,S(728e6659,f0bb9bd5,916846ff,3aab6f10,85517ad2,c17254e4,c2ce908,c7934781,7df32327,354020,319e9cb7,696b0384,6b8e5bf6,691cc73f,829abd42,44e674b9)
+,S(80e68c8a,31d715a7,5068091a,142d4a60,ff30d2c9,42f625c5,d234bb78,31009e8e,fe04addb,b9c47f69,3dc0b126,67b0960c,1b4a7bf2,882aa626,b1888e5e,e4157fd9)
+,S(e655129e,90211425,558cbf1a,4eeeb630,df68a4e4,f96a176b,db55500a,89f5af02,d5e3a471,ba698897,9f747ae1,a1aa87e,e10c5069,3df12ed3,ed52307d,a0202a69)
+,S(30a9e289,f6ab5edd,7b56f48c,e7373a6a,97dc698b,511343c2,8c5c217c,de67ab6a,f4016c18,c4f75d52,927127bf,c403a83d,4ce304d2,8a4fb965,beef9fda,4e9d3f4e)
+,S(8a6a4557,2c1dba29,c9499ecf,d59ea43b,1ebec5a8,78a3e2c5,2de09aa7,c0288e69,56e4aceb,e8315c2f,b9271519,80a21d,c17ebad,63223380,b24a7237,33ec205b)
+,S(647d3443,9f4e4f50,cee5b0d6,8047f130,965f8abf,482f6166,8859c86e,326c1bd1,f951b5a0,b180894c,f74c5235,cc625888,fb830382,3b0d085a,dbe857ad,dbc22088)
+,S(6d143d17,9f0a42a6,85031c6c,f62ef32,2cde46b3,978b04ba,bc37bd3,34de5634,925d0fd9,11c7863d,b0ed42c1,76591307,72b456fe,83bb8063,3afe5340,cab4b5a7)
+,S(f21cebe2,7ce8dd3e,fa30428a,cee881b4,d65eddd1,30f9fa62,9d78291c,a4f4b0bb,4a6d7f43,f2ed3d26,330e58c9,27a87c55,850620fe,1edc6e36,c9a3978,8f922ea9)
+,S(37883073,e227a5de,452c7706,a4a06594,5a891c06,e594fd4e,191d36f6,79117c35,224bb4cb,389f3d25,42411fd6,594ad6ec,bf4f1c9,11f723e1,53dbb420,33ae8ec5)
+,S(c21520ae,e6cb0358,53a7da78,919c88ec,84c17d10,3ac13ec8,6a412d9b,96e57c54,56720dfc,f748ca09,e27e8aa6,e29ea591,c0205290,3d38bc35,3b0b0155,113a5bbd)
+,S(96cdb3f0,d6194675,7346b2a2,1767fc01,2e6d1ca6,f5e788d2,f89e2fd8,89a57924,9f5fda94,e0455b28,1cccc531,7118b175,edd6c93,c212e7c9,fe845f0b,cac5a592)
+,S(7b5e5f5e,564606bb,a71b8f1a,7d410b1e,6482f508,879e1bd,38ecdc44,b7effee4,92a3f1b4,84ddc60b,4b005282,89984241,4f91b9bb,fd55eaba,37dddd0a,dcc1c6e)
+,S(541fd344,c9d553fa,1e87c9cb,72150cae,a69a9a10,771ac96d,fb292be7,261912f5,80ef7a00,6ce5ac0e,975ecd69,601fd059,a9860e07,77f6f31f,365187b1,f6c9b392)
+,S(2b2b3929,50b07da0,5c20b72e,4101e36a,bdfccb6a,2a7f36d5,b57f58dd,1403035c,ff6c1ba2,caee889c,14414086,456f096f,d065a7d,d2f9c7b0,9ed4eb71,3b4002a0)
+,S(23acbca3,4754dffa,8cb3176f,d1435d6,4cba0deb,84e12ae7,adaafe88,497aa60c,5d95b3de,26f703a4,fe9efaf,cb273921,56a49687,a71433f6,9a2813ab,5fdb35d2)
+,S(5fdfa393,6bf9c699,24417a2a,f36054d5,95640b6e,3ae30807,5ef51bb6,cd63fe34,97fdd994,bf74c959,2a5435fe,f1baea41,8a79c5fc,1243fedb,5fbb0466,4d599d04)
+,S(177cf8ef,58aeefed,2832d53,417c7025,c6b56fb3,8122ccc5,2b33f79c,71c461fd,d8a12d8c,69da9b31,832cc10b,55b57a60,b900c19d,f8f38c92,f6bccfdb,98d3acf8)
+,S(14f90282,e5a3121d,a59e919a,fcd146a1,9251cf5d,c0d805bb,bd013eef,4ab78bd3,74a504be,928ed13c,f29032e,5c3dcb3,a18a1df8,aad26b4c,a64ebabe,6afb4244)
+,S(31099221,e6ceaf16,81b22b33,dd8ee3ef,1c2a95f7,2bed88e8,15333f69,f91867b3,772e45f0,930ebd2b,7f5b7ca0,640467a0,8ab5472b,f6bd347c,903cfecf,8f80176a)
+,S(a6a0a416,d8eb22be,49036f4b,dfc79c6e,6cd167cb,38813269,70e199ad,c5d1b5de,54d036de,6b84f308,84faebee,4f944375,fed61a6e,7763bb40,a283ab52,3335af10)
+,S(c7c5cb1d,ce484477,82e7da9b,55bb8482,4f715a80,d844294a,3c05dfd8,3dde77cb,bb66731,1bb0c2a4,e493e257,d289a42d,3630ee24,ba0f7f86,134a7c6a,72dbc3df)
+,S(f1bdcb49,43267948,fe1c9b7b,51afcc79,7027e4fe,f98c2175,d7d1b8de,770328b,271f57bb,a9249cd7,dc510173,5a2168c6,ea97b341,b44cacc5,4083d115,6de8e728)
+,S(2815f09a,8f0e2dfa,d21f50c4,60b8f69d,3aad54d8,aaa99226,86050582,b954d912,dec68871,752d862b,32ffdf2b,482ce1c0,6a659bcd,3a2931a6,29bda260,cb3cbf35)
+,S(622619ba,8b74a0d0,5f8fa899,aaddd272,c9e6d43c,49bb6708,367155ec,4907d0c2,aab9b1ad,10201d50,7bea05bb,5b20453b,6474154d,ebe3ddc0,c86535ad,7c701954)
+,S(a0390604,a40611cc,6e36c81d,30cc3e75,d162e695,1ae0515c,75417744,c093b997,60428c28,8d32d229,7417b6d9,b1003522,8190a83,66cae58,f7887037,9fb99641)
+,S(422c7d1e,b0498cc4,dbba0135,ababc80e,5416f187,11f0dff3,80f1e1dc,23bedf0e,9c47d3b7,eb5713dd,cbb9ec8a,60d931c6,3382452,a4c0861a,847a354b,ba57d9f1)
+,S(982844d4,7f572298,afd6734d,98064369,d81e4851,4b176059,6d3a1e85,6f043f5d,9b86f6a7,678cb5f9,a4304f1a,a8d3458d,fa85e65a,ffc79da3,faa1fc8e,a2b7ed2f)
+,S(993385f,a76b9373,422e4411,b9e8a85d,3ac0e09a,f9598570,63d50a8,67b67ed2,3e7a9a3b,222a66d2,f55fce7f,e33effbb,bce8cfc2,8991d8aa,376a8ce2,4e9b8460)
+,S(15b05ee3,179d1dfa,61bfb0d0,1903f93a,f7e04f98,cfd40be3,2ec094d,1bd5a4a1,ed1301a1,451cecad,30e8fadd,801c9db5,5acfd697,3ed36621,2f2e3032,adddd939)
+,S(6062aed5,7d6312fc,433bf7f4,9c10772e,829e294f,e7ad07db,177c75cc,9fe5e52e,96aa4495,c6eb07da,9a5a0e19,8771dce5,23a5d7ff,de314562,3b704f44,c4ffcd24)
+,S(ef45dd6c,1213ac0a,5df18426,9491cb3e,bb5312d3,fb55c7f2,8351c98a,1ba564e3,91541d32,43e032f9,450f3605,cab238f2,703a9eea,8e429824,7a6ef63a,45540e68)
+,S(a1e32dcb,c3a13a46,166ebb73,7e09041c,3487120a,6ec46987,6befb2a9,94f4a69a,ba88b7b1,8cdb2088,b5998b34,461b8a5,d85a57c6,31aa10f8,6ff808e6,3186e5ed)
+,S(817e6c2,6d4ae706,f43ddd7a,cfa4eeed,6498ea2b,86aa661,9a0b45f4,e22ea33d,8aeed38,bccea5e3,4923b959,53bc9629,d9348442,4f33b06b,b02c882,25e47bf6)
+,S(e734f5a7,736014fe,2ac9137f,d025f914,7574d67b,3696596,9f89b5e1,aeebf88d,74fe8220,7c83d3ba,ec54f032,f11f9309,9be25f53,565f0d60,5f2ab406,5287c997)
+,S(87b2d307,414c314f,184eef07,6e9809d8,ea19c002,390b5047,38eb7bbe,ba1ae7d1,37f5c369,f5dd54b6,87729036,b88dbf37,45f33da,8c2bc9b2,64213468,f1c56841)
+,S(dda23ad9,6c51604e,602b8e6e,9f08a67f,981bfa98,93194369,269c56b7,7986b772,6de02623,5ef973da,13e2577a,bbcde720,aa8fbe12,23c5288c,5724bbc0,228074a2)
+,S(8d56a723,6adfe6a1,46182431,da5ff846,aee78931,27564954,f14172f5,27048fb9,c7cd6bfb,fdc51a83,252d4e4a,2c978cd7,67fa3809,521678cf,7dc5e514,eaf0b418)
+,S(9da30ccf,f147de11,de528d14,863a4fcb,a2ef228f,506aee98,eabee895,eb618def,a4ab41eb,a16b4733,34a818f4,b6bd3c43,de4a9392,c15c9e19,a8b4e961,7fd4bbe7)
+,S(e3339c3a,b14145e5,40c08544,eaa631c4,7be6c09e,563ec93d,2a05f219,f4afdf2e,fd586d7f,3a668a0b,f888083a,9ea84f48,43598417,f55dfea9,790ee89a,c412fed7)
+,S(a6e08d07,66274337,f3b139a8,d6fc3f61,4dde9ef7,2e03fc52,45f7dfcb,1c0ab41e,d9620b61,116af945,708a610,c78f0b52,8abd97c0,21ee34fa,10d289cb,f3c06d4b)
+,S(f8ffa0d3,b463fc5d,44e6eaad,caecaa85,8515bc4,69fe76e1,4ecdb25d,e503a040,e80dd6f8,934fa405,fd4d74b1,1da0d09c,dd723df,daf46221,796cd7e2,4bb83f1c)
+,S(22a212a4,3c00408c,b4b94e2a,45a6a999,917c0fc7,aaa565d,c6f982cc,64b0d0d4,663d8ed0,3128ada4,f421853d,8ffd8201,1ec8b997,4b0d827c,ed318551,ff9930de)
+,S(8d33b62,f162963a,f6636f18,ef33a83c,e9a17fb6,b1fc58de,6d271d,472a9d82,cf0092e6,60311726,e0856ff7,1893555b,625b117d,4698e4f3,f31611eb,21a56f5e)
+,S(3bbf59cc,5b4aa31d,dfa0ce94,1853ff69,9db29cc7,a0021cb2,11ba28d0,1dc61d3f,d54beb79,d1edb94c,d6bd5ae7,11a3ff22,9f2baa0b,efaa139a,e4724ae3,624d8318)
+,S(4cc9c2ed,3a7266ca,faffb517,d3ad4aea,2d4d877,d9b08433,a4fca2a3,691aec68,70ac52d6,1094da70,5f714f60,854a5656,8c25cb13,1502171,7bd4085e,8b489756)
+,S(a997cf82,50d7ec36,125189bf,eb6b8631,cec31fdc,f156d34b,186f29c6,5d0b30cb,ca73d95b,93b43983,b2c51518,b4e419f8,415f14fc,b6356287,cd65d49f,92929d5e)
+,S(5fae92aa,7c43ac60,b4bb4f90,ae2ac462,a6f88681,9aeada99,4d0694a3,a6dc1722,6b7ebdc4,dbe15dd0,9c1e4587,c7f297c1,74d5c933,6bc91511,f31e0cae,2e51b280)
+,S(cf541216,323a9591,13561470,2b187b35,fffaff7d,8cf1993a,5144c7d4,aa836308,9d955733,feaab81c,4b03fe4d,25fe36a2,5075357c,b6ebf8dc,1822cee9,7f585f80)
+,S(9c2c8607,bad80760,efb4ba73,442a359a,c1cb9b45,f81e54be,28f3f6f4,4699773e,7848812f,f3101eed,137b4dd1,4f503a42,9d71c157,449767c6,a5850204,869a9817)
+,S(2f3bca36,fe504b7e,93f70176,2e65dacd,250b3789,541076ac,86352481,c896f77e,5af55f5d,b2e84dfa,38bdd0eb,fde7ea68,33471d28,add88dd2,a7e7c63f,dfe513a)
+,S(f2fa3afc,fe4e5da,385f26d8,1848f801,7401b06f,652121d6,9468d2ee,f640260f,54cea12a,b4ced3ee,2ca351df,4310e96a,d3ca0d80,c3a3c86b,267c4620,bd0f69a2)
+,S(82559cc9,ead1465f,a910b781,cb2a50ed,9a2b6ff5,d8513182,425b7dfd,983afa50,db5dd99e,242287bb,c94cd149,6e4aff70,7232e2bc,1fa4c440,5cd9f22c,fc4d239d)
+,S(954079af,1494e324,fb707e7c,e9f1fc2a,751e194e,4ee058a6,e55e26d8,34901f5,2f90eb0f,43bfff96,c3b0f3a1,bd48c00b,85d3650e,52d1f614,ed65ce70,4fa19e99)
+,S(c913a980,b1aca09a,19654428,6edfed20,dce31676,1fbff05c,1c05fa70,7eced342,17d2864e,df39460f,99b5b51c,91752c57,10ca7af9,a6e10c4e,c2b3e9e1,7317d3c1)
+,S(815b7dfd,3b97ad9f,cf6ce427,ffe4a91f,2b541e2a,11305b17,2fd7b63b,82272db0,f0b958eb,fbf32959,dbc407bd,5290ca66,6f28bcec,2fa69d1a,7108a2ea,19d58484)
+,S(7f7c1689,e93b7c77,20ab5b74,572e87b5,d2a907bd,624fb6ff,d5f29f3f,c64795d5,691a2f46,430c53c,375829fb,46ed4030,b5bc4dd6,70646523,45fbadbe,e6f8a1f9)
+,S(8911275c,106e5a48,1c3dc5be,b9b42e2,3be8cf2a,5a76198e,e6749b24,bd9c5e7,747cb0c2,16d899c0,da5a8ed8,f279a650,f4537e7d,ca51bf56,b3ca8c43,92b5e99d)
+,S(24cc2552,c907e757,9e85bf7f,fc868ebe,53e44b97,102b31f2,38678bb7,ad8c244a,a152808f,7d615060,ba9e78ae,720c2fca,a67772b7,fd99ed6,ffd5fbe7,ed114567)
+,S(b0fc5873,68795dc8,55e3e19d,9236244a,812d1920,afef4c9,7f1e6c79,25395f85,f8b46879,5a0e40ba,2029538a,fb7cef58,9bde7b3f,fcc010a4,4ac962b0,afb8d7e4)
+,S(cd6f4558,d634fc66,6dce566d,f94397f,d3ab9178,affd3707,55852679,adc6565f,d34d7be0,ea40586e,4f9007d7,4aca55e9,edb4b31d,8ad4f344,1f611a9d,94161b8a)
+,S(fc5e8a3b,ada62f0b,6453f445,7dd4aff3,993005d6,de7b94d7,19fd487e,b88fb7a4,46041321,f7fed84d,2266d4a4,d86d836f,12f12296,d62ed296,6a7d5507,d6717130)
+,S(dc72a540,55c962ed,90e64916,bdfaf6ea,aaaacbe2,fc180a7b,7e7bda98,f45488d9,e3b46394,41a2063e,59c4cb06,1a0a7e5a,a171fe39,812922f8,c04df63f,41c8e588)
+,S(7d135c33,88bd5896,47f4cc3d,67fc7809,a7a4c530,e96fb5c,7dabe3b4,32a4fd90,79dd3834,8a61b642,9eb7a837,4e9c2176,95cff14a,3596a18d,19f84360,8aa0922e)
+,S(7a56712d,b72ac3a6,353dad9a,15cfc9d2,7d9ff67e,9a35936a,e38e1c01,5980980f,6eda856b,9b5d4019,d0efb2f4,9f1af933,8969872c,126b2682,f56a8b08,97a83696)
+,S(d3495480,25c7f966,d59b40d9,6ccb9831,2948c992,fcbe2f6a,7a7feb6a,946125a9,b346f8bb,532da4de,96908618,b0f85a10,fe9a87a8,d612e4ac,53bdbaf,9dfdb3c)
+,S(22175a8b,d0a51763,d1818054,60951698,14af196c,df8648f5,29d27a9a,825e60b3,756d5713,81b5ce71,e23c0190,a1062fd0,645eddd1,7dc84c9b,b1c7d810,c13db63d)
+,S(f557e381,37a1c6e0,a19e4207,4a1dd59b,17c5137d,97a58fc2,55d18be1,bf63877f,6cf0bb41,577ea3bb,7c9945d5,db33a862,3c1cce5e,d6fc13b9,b0739ea9,9af10381)
+,S(8ddbadb9,c6a78978,2540d3e1,9ada3ed0,5ef35f45,a38be470,7083dff,75d501cd,75b4c5f9,51f70fb8,a89fec5,d52ea0b1,dbfc5709,3c1ee5eb,ff2ab0bf,f5854644)
+,S(53f0892,cac79f48,2194dd9f,fc076305,a8ecdd4,977ac278,92e2d454,965a2aee,b39f7a9c,ecdd4ed6,d0fb1608,3b86d1af,68aa85b8,c733617e,5e97ecda,269ef97e)
+,S(2712110,8fe28f55,c746525d,e7cfd4c2,f3a11b8e,3c6329db,a57a7b32,5a7edb40,cf6732b3,74681ab7,3448bad0,ae54b953,ee5d7bb2,5a8658d,3b366a78,dae5fa69)
+,S(e7627b26,ff0448bb,cb45a538,2ff8ec9f,9376127a,b8425213,46e899b4,41cb5660,79842f72,e02820b1,e6b6843f,3a0c23dd,c0941ac2,b6fd30a4,39397ede,c78bc40d)
+,S(37c48874,f07ce0c6,cf5be181,9ba31bfd,9a19aac,97b27011,1de59fcf,559fcb57,34dcc405,6a6dfa3f,283e0dd1,8b1722e,bad0e367,c30d9f1a,d552f394,9ce19b22)
+,S(316868fa,33cf5544,1e9b9bc0,9f74fa1f,8daa9058,3fb8b3cf,8d339971,311eddfc,89fa5c82,9d9f4687,f7cb6b8f,ae20d6a8,cf872ded,a7f9b6e0,6e168c1e,45db4e73)
+,S(d34a83f3,7b7673b9,6c8695f1,81ce837f,ce2f15b8,72664d3b,1a045c7a,bceadd44,e4f2cefd,59198808,15692950,19b9120b,495a44d3,4862323f,808b11b3,a8698081)
+,S(687a48cd,4142060a,171a1efd,c41dce8f,8127ab64,ebd7c22c,7803f077,19168799,c082e152,41f7db05,ae6c1e15,e4ccc340,f4a7c8c2,cfd8bfb1,6bcd04e7,e635726f)
+,S(70d2cd79,1d2d1418,9cf67e48,519aecb4,d58be2af,164d0605,2132517e,87f444e5,73b4c12b,edda1a70,89ae9db8,f105059a,2a558475,f5cf4796,1042c470,c9e190a7)
+,S(2a6f2786,a191130e,dba1307f,f1bb0f61,c3d7b8ad,c02286f6,44871cc,170dd2c1,28a0c85b,8ec93fcd,1b9a0617,780da654,e5448475,a02a6222,f7065132,5ad64b2a)
+,S(3f482e12,8d5bfc4e,d2f359cd,b4244db7,ec7edf92,f3fc5dde,5367d125,dde8c772,d41be140,cc4b4217,cdfaed4e,b09ce5d4,d3e95b52,ed6689ed,3f6dfde7,3c581cd4)
+,S(96673e27,fb0f8a46,8fcc53de,12876045,77786d93,5afbca99,35545363,6614a5d7,f6a4eee7,1c4249c6,ef850090,59c12f6a,44adb8a9,cefe7a8c,ff2ac0a0,da28884f)
+,S(be7a886e,499a9c2b,c05e5f64,77bcbb4f,26772e58,4565897,408eb36a,e25a9c58,24457eb7,802810f4,de64516f,24718b06,d61b0adc,bcf0d279,d883b2bb,45363a40)
+,S(123985af,a3253837,e51f933f,8f25591a,823b2442,88cf8ba5,a0247ec9,94eecee4,a952096,21f7a9a4,3867c6a1,987dd661,1d3cf996,2aebfadc,dee0a5b8,6df196b7)
+,S(75887ee8,c28bd2f6,a96086d9,aef71b7b,5a5fce50,80c3963,787089ed,e39b0214,47386fd9,a9216193,3bb500d9,a1ee8207,dc3edbc,17d3ccc7,32d9c90b,8995eb48)
+,S(4f7642fb,12376864,29104657,2a2fffe5,2322df39,7cc097e8,f7a57816,e6709fe2,4f2ff70f,2e99354a,60cc5b2b,c3ef33d3,7e3e9ee7,16766018,e3a0ba39,efe5f971)
+,S(8117d4fd,551c9ae7,4c9fdac4,5d87bb66,9bc7dc35,4b08de03,7c4a1378,734653b,13633743,d1ee8fd7,8482e3a,3a9e39e9,75b0f6a7,efb227fa,84feb897,693c5c10)
+,S(8afabdf9,acd49723,d73c0deb,1016ddce,571abaa1,a71ae3e9,a20bcecc,ade5782b,2b66e3fa,ee86dde2,23dcc7b6,10ea8ed2,dd42124a,247b7937,9e190098,2580c71e)
+,S(c4819cb5,b5af7aa2,895b81c9,31dc6bd1,de4a1434,daaa4fbf,abfca6d9,28c9965c,ae4db5d5,e1a09a03,67df8c9f,fbd2ae07,9f79ff96,410a9a5c,17229fe,5575c22d)
+,S(dae02e8f,5d106f77,c8a1e1f5,4366daee,d312da83,1f86dce2,3e846e30,737d49f7,6d666cf4,73d269bf,aa7c3eac,4e5a2868,57df3661,c949b5ea,7f9a7a0d,11206bb8)
+,S(a8762d34,c6f8317f,cba5c64c,68e25d55,e5bf7e4,5caadb65,a5468d2e,f9d779f0,6accd443,bb181cd4,591f8fca,210f9996,86460bcc,89dc06a0,2edd7bf3,d4b75533)
+,S(bf503c35,fc8a0c55,fdf4149e,96b2d218,d29e4b9,1f703e7a,9b0d4da5,4153d99,7e1c09ab,a1437e02,a2be3d4d,7a444753,e475acd6,e3a42056,94e68ea3,cb7d1847)
+,S(7898067,48cc0ad5,ab3a3449,ac82a1c7,d51f2b96,791ee038,dfceae58,ea0c5cc0,66b59634,96eb4a69,b87aa0da,2905449f,ffd2ae3f,ba1555f6,5c9b8ec0,e94ad922)
+,S(25833d28,addd8172,c2a323d7,cf498482,732a0be2,c10d1895,8d097cc0,ff4c9a19,74708306,d01258d9,bac99a69,58ce1117,f245d6f1,4a1f92d0,dd48ca9a,4c7b7da6)
+,S(6800bb8a,9dffe170,9ceac95d,7d066461,88c2cb65,6c09cd2e,717ec674,87ce1be3,d5228e3a,1e0bce22,c2d85b44,e670e78e,ffb1ec69,6c01a722,2cd1e62a,dc4e63d4)
+,S(3d7d5874,42e4816d,af2f0897,dbb06cea,f6c673da,445a5342,c61a8793,420d107b,422b212c,93ab83e5,d6323ad0,35a55321,b7441835,b83f180f,c3803ccb,46fa4ba4)
+,S(3c44084f,aeee2803,34db27ea,63339db3,9e8359b5,c9cc9a85,7ea49740,32d063e,36493b7f,1a732a87,db4703bd,61a76825,4a82846f,31d8920f,2cba7ecc,1d744491)
+,S(cefffb5e,d26cf721,a51bfb2d,460b91a,a0b40a81,52073da2,cb75050d,f7fe8d19,b4e40e1,1eac7572,efefac2f,a97e5cb2,a0d042c,3ae8c541,e51be4bc,f6d33f4e)
+,S(63add0db,5f5099a3,2f274c38,780cc215,bfd58753,144bd464,e75b0da2,dde97938,bbed5231,fe6d5b4,9679a13c,c3c6c382,5c300fb8,42b5eafb,13355c41,120c6848)
+,S(ba5d1f34,63130cfc,425cc6db,dfe08329,4d7aef4d,cb207e3f,d1cefebc,7c791920,70df29d7,8030a8ba,56514df4,b6ecbd2f,ebfaa1b3,df7b23ea,ed16458f,f2f18786)
+,S(7d363dd1,c6dd28da,94a7f850,ee753327,8b735dbf,f43e9456,67fc26e7,af75d6e1,46026468,2bd00bad,a5be02aa,5034e762,fe50d02d,6cb8dcdc,5aafa21e,423267da)
+,S(e2dc0164,c9060646,904206ff,37f912ce,2d50458a,3ca186ee,fdda8d53,4184070,de5267d1,354d12ad,8d9a5930,443dbef9,65947f2a,5efa206e,146e7b1e,df7f5a2d)
+,S(2e53caa6,35f0ad1c,7bc4c2ee,1e29b39a,972edbd0,7d3c0feb,9ab0d945,45815ee5,1bb33d23,ad85b572,130e93d2,fe366e49,8371c49b,b47ceebe,de3c1286,3f443b23)
+,S(5dbefdc4,9fabdf50,e6bc1464,13d59940,cb36551e,5a6607bb,13213ffe,b56eba1,893fd0a6,1797abe2,fceb4054,c4f540a4,ed644ed3,13a2200b,e1d532db,44d0374)
+,S(5ff207e4,2b52b004,6ab8bede,6bd26f5,316ae52c,d148965d,8a21e8d9,63374a2b,1b778704,daa94eb7,a36ad0e7,22a6d56e,c0b43c7b,a739985a,538bcc22,b9181bb4)
+,S(da260b,ff4bfb8c,a54261ed,c96493d3,ffa90273,a55538dc,c9b237ec,e775fb3c,c7c744c1,dbe1cd19,20edbe3,c13f7631,1378140d,9ee64c3e,ab072401,86c067dc)
+,S(b1985ca2,e7103268,f18d1063,c59d8d78,2250f450,c467d7b2,f4e41c28,1714421,16357630,3970159a,99a34c0f,e114b95c,f115d9d7,dc9b09ad,7c81d769,aeee6898)
+,S(bf98e773,fe93f15a,ced03ac8,368e4276,1cf3821b,461cd844,2426d2d,cd1f7d7c,f4fe02f5,f45a9cbb,b67ef626,f239bad6,e5108c28,d783d70f,6bd889b8,6331185a)
+,S(5dd657a9,ff99f15b,56c5143e,86ba7bc4,b0f34957,71d91805,71a3d003,ff008fa0,8da0b780,f644b14d,2b661b9b,484225b9,86b13038,a8a9bdf6,6999144a,4f5c212e)
+,S(53b42d75,bccf2203,7252ee9d,25830f3e,36e7ed8d,8e1b6d4c,b2371e14,fd4fdba9,7791453a,dda2ca19,a775d684,9ee60c18,ca495808,6f8b56e5,1bf2b216,9690cd73)
+,S(a3f43f6d,eb178109,cf4aaeed,a0666bec,481a1894,c25a4fc7,f4a87e82,680d63b2,d0331e73,7dc25db7,35625621,85073240,3a69a474,d5f78e54,93486b5b,3d1c067a)
+,S(b83bea86,b07b217d,ddac9cde,9b42b334,c994cd1f,92beaa87,57a7e7cd,2c71b1eb,b68f8fd,66b45aa0,dd568458,73eb7829,1e613569,58345fba,7dcef9ee,dab957ca)
+,S(16ce1de,573b3654,a0c00212,e878811b,25832f36,373da91b,9d9d7c89,d06ff12,264031fc,7441fe5d,4ce8ebc9,232d1837,7fa810a0,a0e19ba7,5ab16ae5,e93d5763)
+,S(18fdf98e,93a7e380,8762e819,2b6e634e,f255b2ee,51c65b58,1ab799ff,52409e15,2d71afd6,c6298868,52ea0a1,943dbcc8,ff844ba3,80b177e8,62f92852,97868dad)
+,S(3d5f8af4,ff89de18,866f596b,91300a32,a7aedcb2,a9423f4f,e364cf26,e2f53e96,46e9bc8c,ddc56d4d,ba25a2f6,e77a6a70,2e712496,7591725f,1d240e7f,9836548)
+,S(69dc1e7c,11516a15,9edfa4bb,1afe0ea3,5be5b7a4,7695df8e,728a8dac,e2997db2,71be8ddd,d4c51c1d,5c13704,3aee6129,9541e929,799f7b6f,da08aee4,52f4ce8f)
+,S(4e8278ed,ce9b340,1ddb1c3c,6b208539,164e1ad0,3adc082a,8d9dd5a0,9c63f737,13e6a5ea,7b2e8ebe,babd812f,2579b8bf,56b476ce,dd23c418,9be7b85a,940c5d79)
+,S(91157569,7aed20df,771c1f4e,78b73dea,c89b2781,9b8a5ae7,5e2dc12,e6e7d148,e7114d60,218eb1bd,73074957,5b96fd10,50fa2d09,f37c0fe6,2887042,24ca1a28)
+,S(3a37e743,bd2fe2f1,3f667abc,b6c03077,fd82722b,859d7bcc,ebeaf1bb,a6087d93,4192a6b7,eef51034,64040fb2,6b8d9928,21e321b8,cd611b4c,8d3e0186,646f5dad)
+,S(d45b5787,9e4732ad,ad0996d5,879980a1,fc8dda5c,b628435e,96c3b44b,faf98f09,e4d4f5ac,1e4b039e,731143d7,60e2ef35,dc243097,d2e2382d,b86dc82d,eba0554a)
+,S(ae5ff450,aa607a9b,bf4549d8,4d96adbc,6041cb0d,719793f9,2ec53b96,14522a00,2f061b20,e9bca3af,358e8d14,a04f1d82,97d1e1dd,a406d60a,d15727d0,66b2b8fa)
+,S(befd3684,32785d19,7709ec42,e3b6407c,7a539b55,d97c8fe7,afd4f96f,d2050e17,65691153,b2efb4af,ebd2dae1,a50fd3aa,b648c7af,f5804d99,5270cc22,c02e151f)
+,S(d13626c,bc00cd,36c776c7,8bdb17c8,18a2bc14,9612e0fc,7ab7888b,eab48382,ea4c3fc9,fe2238f7,1023ab83,fe0e09a1,dc167c0e,6aa05933,8f177cbd,241bdd45)
+,S(9730fd42,fa9ffdc,414f90dd,ac790110,9619c01b,f43bfcab,e65a341e,2434435e,de61024,6152fb04,c997fd62,961209f9,44badeb3,6ea7774e,30e8c8a0,8bb0b496)
+,S(a27e09ee,9dd4e34c,6a92f4be,aa1b8c0b,2a60b33e,99fa981d,afaac623,9f616d15,33e6d8f7,bcaaa24,b6008e44,377b4892,5f88e884,5fe73807,8cd4f405,a2747f14)
+,S(d2dc7884,31e5a497,3905876d,bd6ceac7,8246c9d0,73d68872,f54685eb,5970763c,85f96d40,e31ecc47,dc07fea4,4856068d,15d2a999,735aeb3a,4959e4f9,9ecf5fc8)
+,S(38fe7a6c,c401daba,981875a0,f0c2f528,30ce31d8,816a1d3d,47a3d96a,664a02f7,e9893a1a,87034596,9d95e644,313d9b65,5896a931,81d36f6c,7e390102,3cb28c74)
+,S(f2d38ff,14100172,d117dff6,1522c61c,3a590eb7,ee9fca77,dc264e60,32291d78,94eb4046,ab31eda3,7593e705,792fdfee,2e3df8f3,655befa9,ef0ef392,4b02dab)
+,S(9e23c290,94b6b8e7,4e112b11,69c5c775,4b690d0e,141b74f8,2988bd84,78d42021,e2528717,28fc8d9a,283bdfa3,a011d28a,f531f392,b5da6da7,1834a29f,203e747f)
+,S(3054117c,33c15a,504156e0,97e9a0f7,d76be8a9,c1c88fba,e1d9d2c5,4e1c9185,998844e2,b73e9468,1b0b09d7,4ca48dc2,f29c6df5,f3c38f7f,b6846178,d4ccae2e)
+,S(65d1e830,3421444b,7d5f8600,2c6de12c,16f15a88,504c6876,b9e94cfd,a206810a,71c9cca1,6e066545,b11e2c29,edbac8f4,8533ec41,1e331e15,a2bed53f,1b1878db)
+,S(124b78b8,948c4374,7c5b32de,50cbb055,ebf9fe7c,56437573,40723180,131ec0dd,c0fefa74,970829d9,4c1314b3,64a8516e,3a3c7fb8,e1d49f06,b1b9c19f,be18ddd6)
+,S(f6d81a5c,395ab698,28e5f1f7,84edc6f6,a55137b1,411baa28,615abdfc,36c18567,3a759acd,4b758dbe,79e22f4b,26774b88,40121768,f655664f,c3f9bbbc,91f564cd)
+,S(e76bd19b,fe13dc17,ddd14619,da6b12c9,f2819514,6acef71a,9e7bc32a,7abbea8a,68cee27f,152177e3,afa7d47,903801cb,b20ba02a,c48fefd6,e23fc102,e6456bc7)
+,S(7356c0d,ff8f26eb,7df215c5,cf923c4e,237fd7ad,cbe58f7f,d5c745be,6451a830,16a0d86f,ebcf42d2,e89e9a1a,803838d3,1dd7debc,527d49e4,a7db799c,e1eeee6)
+,S(b8d00a56,43fdc57b,dd949193,c5df30d,8ecf5b4d,8b3a13e2,64ba3ef7,c8bfacc9,f05acf53,9343641c,3feac336,28e9b08b,9a4e3c49,94c029aa,470fde03,d5d8cf8a)
+,S(f555e29d,4dd3e0eb,d03f3866,596be43c,677d1ac4,1a1a3a8,1936ca6c,89618880,171d88d1,9abf05a6,981eddea,8f030e53,117a2e2a,97c2f352,255038fe,32ecf95a)
+,S(172e6167,6e7755f3,c6a59c40,97a8a870,cdc09d73,2064d24c,3db8ada,7ca50ec1,7c1e58e0,38f322d3,e147b3db,e9b8f311,135d688a,98458da9,f6f8a6d5,4d4e2a96)
+,S(f8f5fee7,d4e8eb51,92cb7ad3,9ee26cfb,44724b7b,f9c74fcd,61f95e3a,f33fabc5,607fd05e,361bfd66,519b5e11,d00d22af,8b0ce85c,11b16cd8,eaba71e1,2ebe6bbf)
+,S(6fc770f3,f6169350,bb8b247d,16088031,4348ef73,cee49e5,c0f56a19,d2d66491,47708f10,80e755f1,2b1b0d9b,3439312b,dca07d85,fe94fda8,414dbdc6,ed9353de)
+,S(2b8c0b49,94d3f78,79776d8f,bd2980c8,7840df15,82427cc4,f07ac806,eb7f7e3,3a335552,ccb38312,92a71376,9c7994e4,19a7919d,b776ce6c,db2ff092,92e4d798)
+,S(e473c99b,dffad22b,72b6fcb0,d741179e,afb78aa0,de4b5d42,dd19d7d7,72ab1a60,2d0f795c,61ed1ac8,b5691d5e,9d52b19a,42c368fb,9d0787fa,8ef3b275,2a3d9d26)
+,S(f389dc2d,b76a47af,f9d7a380,ab49274b,1a40c4f7,970bfa63,729da698,b4afdc4e,b15c2100,b63f7f5f,911a6474,25866d79,5a57dd97,74c21cd1,4907dec0,f5f3afab)
+,S(df6e3625,8fdefe31,dffa19ff,2416f8b4,9fbc09c5,e86569e4,4b7330fa,56cb6e1c,4b5fedbe,835f0b8f,ae20f627,c8e74f41,a5443c1,a764c466,65f673f9,f62dfc7b)
+,S(27e40da1,a5d7cabc,ce586e33,a4ace757,da972cf6,17c3781f,3fb0e0c4,e6f0a70e,ffc4b339,9cc0b701,36d871ea,a7c3a6ab,fa9dc92,72625fb5,b8bde8d8,be55904d)
+,S(71b6f20e,e558ac12,829362ae,53900a59,ae29cc70,77dd1001,d9d7eae,36b95618,e765adc,1125219b,316beb88,4c0434eb,a6f62499,b8b2d217,c209c7cd,622d0597)
+,S(535d5fc6,1eef1a92,50ceaef8,e09e1797,8debd360,8b03f72c,bfe265a2,633332e2,f8453dc2,4ad1ef7b,819d4329,a4752757,26c98e55,65440cc5,b5d509d8,61c98a38)
+,S(d1e2222a,26817cd3,a537f2fb,7437ce06,ce9fa651,9d3c1967,71aac21b,97de68bd,a131cb69,cbd27e62,cb65ab48,a7f3035f,a78ef40c,6c42e94e,da326ccd,2b452849)
+,S(5aba9590,2b5062c1,59b9639e,f08912b8,e7eacda9,759a4e98,b0e21d96,c2597b07,896a74fe,e2596e46,1e93f4ca,178646cb,4bc5454,227a2dce,1bb5d532,e558b334)
+,S(9f07bed8,4449bf9a,815a546e,ffcbd0af,f22c9016,188d15ad,7c353e2e,5cf84343,6fa14d01,ba16dd07,15f3e68,d57738f7,1cb56d95,61eb84cb,ad63bbd2,d9ba439b)
+,S(80a1920b,14723439,cc2090b7,189f96e0,20e6eba5,5f8964ad,2f0be013,b4925515,fdb63791,6d074376,8e32f983,f2ff1754,43136323,50b98674,2ccb9ae2,7997a020)
+,S(dbb37c16,202dfd9e,914f2922,e8930789,a70d4de0,9fe7eb25,7d9a2b83,aec2b4c2,f6bcb8a,2c7bfa20,491d3fff,bd36e82d,91a7228,9e4fb6f8,9e167803,a17b7932)
+,S(f03035f2,f0ad31ac,59e64a6c,f46e9ee2,a2243ee7,de5ccb0d,cb30083,97551b4c,1a1aacb9,798651c1,2bdc6ce7,4146e259,4263474e,d7b9d42d,78026331,60748722)
+,S(1886fa45,e7447e89,b0873362,605beafc,4e05965e,53fabe41,41e1c42,4fb234d5,eb5374d,a4a198cd,d9027311,6b4331ed,f0f6a7a2,fc52aa44,8a9274b9,ee3d7743)
+,S(46a262a2,5b76baf8,ae0ba3f4,ed8f86fe,e4854272,cbd0ed41,313c4e0a,357471b4,c08ee494,66d7dc12,a8e08880,732574e6,f6fedbf2,71d6dc37,eec3c324,33d8070e)
+,S(d521c6c4,a0db2668,5a36b61c,b73d3504,ea7b7488,e3d75410,494e89e4,ab404d37,41f334e7,6a28cb9e,25e6efd4,fe3eee2d,17480189,b921d726,aa027b3f,75f94bfa)
+,S(8f44a4e3,c18d714f,62054e54,6e9ca86e,818fcf39,fdde40c8,3044ddbe,be3b951f,210ec152,f8c90d7b,8486d1f9,c5c49a48,68249795,bf7d0171,34d9573a,d5b22aaf)
+,S(d5a74098,eb20aaf7,b664fb8d,63e08b0,430733f1,466552db,417ec648,36a31dd7,7eedeaca,97f1c85a,98496159,eb024564,1c8ef0dc,21c31ff8,9d06012a,3387647e)
+,S(d2a63a99,d6ab9e57,a2a6d39d,3738c3bc,94505332,2a34d3d2,4cabd1ce,5111bb08,e50f6c3e,796ac830,e276fac9,ab6738b4,722fc87,880f2e93,7417198d,9c6c1323)
+,S(a1b826f2,1f7abe38,c622b93a,7510114d,dffe4cb6,d3fe0627,dcc0465c,bc82ad9a,c9cec051,a253ab24,a8507b07,d24ee4a,c1d5a5c7,33f0c3d5,611e8a9a,e4aa9667)
+,S(40719ba6,89926b5b,ca99a4,161a1bc,d999d40,2311fc5b,e2f5260a,c3c10208,9edb353a,73e9fdad,96ca6b77,b467dd9,c7d6d2c8,e041d8f2,19448ea4,c603bcd0)
+,S(c0ee8dda,80fed10,721e7cd8,9dbd237,216f4e84,bb8f7138,11f8ca16,1e3a0977,6a786e53,2a0f49cf,eabf0338,1d64de56,1a1973c9,36d6a5ca,4aaf4cba,b8fbe1e7)
+,S(9c75860,ecdeaf1b,c598a530,48a22158,8099afbe,20cb08c1,3afbb133,b2681809,d7019eb3,5fb61aee,56a1afaf,2675a028,b8735dcc,b3f5d93b,c3e29672,9203321b)
+,S(e39df640,6dbf2584,fecea5bf,aae78b5d,bca93ef0,9054c754,d8b235c2,c5463657,33ab2fce,3a2e3e7d,e2ab230b,e69bcb7a,4d71c87e,a1ff5d34,eb8b78f2,d5c61a55)
+,S(22480e,4a7cadd0,d17a418a,78074f80,c4731ce5,d9f1268b,1ca50204,1ff8282a,993591da,11ea4445,8ccf8bc,2cd55fae,69e96a77,89d006dd,b85a22ae,85316200)
+,S(c613fa66,231d38b3,359c3b94,132a2337,e2a8c608,3c88b41e,58434c19,48a6a1ca,8087377b,c3d6ca30,8c932dc6,ff82430f,3fce21c0,1a8b8b6,c28bab78,d3ddab43)
+,S(c0a94837,c2fb86ad,ca791fb,bb0838c1,3bb0c981,e23c4ff7,94dfa5fa,c663e5,1f81050e,d21fcd5a,471657fe,abe6fccf,a391f1e1,9a88c143,4644bfb5,e1f69f9e)
+,S(87ab257a,cc2296af,d921bebc,8e52fab1,c9c21f08,ae09faab,18858a06,1e408ccf,d5dd88e7,89d2f2d4,3773854f,ca980411,3dd69475,a56864d,3c869205,d682027c)
+,S(10d14c28,cf44c5d8,fbf5caf6,b307f6f,ee203968,eea1be3e,b3697515,2edf45b6,46926a1e,dd4f79ad,74fd506e,4443375,23ec76fa,e09d216d,3ef3ed4c,73b635fa)
+,S(2eb78fea,63035a3d,db64149b,612832b0,c9ab7880,539c67e9,d722e252,f7e23166,4f72ef76,d3dd59c0,a4e1be46,6ca5a3ce,fd84d207,f7d671b,240fd41b,20e72af3)
+,S(14d8ab11,402af341,dc5cbb6e,1116b858,14decf11,e6761b09,31b449b0,20b6f56d,91bf8c4d,cc717657,990e0e3b,3558a01f,ebbe534e,897d1204,8a7d978c,3a1d735d)
+,S(cebc042f,2e7bd361,934da5e6,dd2dc8a,9e73537f,5d5e3e46,3a88bcc3,ff6d5552,baa841c8,5e0a7287,b1f16c89,8ef03f22,3097e92c,44952c32,45f2fab1,dcd988c5)
+,S(4f28e546,ef539c7e,8f33191b,897b7245,8f48a01d,79f65b8e,a8f672f7,d0ab027b,b1c1db0d,55be796d,2b415259,89088a7,d86c41f8,cd8ccdff,2bda49f2,407123d5)
+,S(c4d31178,b73cf9ab,b0e1d554,a2cf93db,ed9a7b9e,8f49c9c5,4d63c815,6e111505,f5e4528,7089cd96,3118e279,bfc6661c,1e77ab67,b81a71bb,4ec14fe0,ef0c13f)
+,S(8e260505,bf045c43,f3fd972e,d4189725,a4db0774,52f94eb9,51e42eb5,6131f0f0,4afee681,c6069893,5ce21991,208457b0,11548d97,9a33a0be,cf3c840f,77c4b4d8)
+,S(982818ce,69b4c6f7,631daac,868af6a6,79fa6631,8c9da2c4,bac994ba,f9c95d81,f5b13c91,e7593e5b,69c85957,6398b186,8c503b6c,25179270,7e602f52,f30ca9c9)
+,S(75c2f2b3,53720779,8737488d,16a5ca6e,dade382b,78f2b2b3,226fd5ed,6ac6c855,95aec19f,b97734cb,8426e530,afda15e4,c3c3dedb,2aaa24f,7ca73b4b,af475960)
+,S(606ed5f1,8e4dc1e5,3b6f5ae3,896433c2,a904cb84,1ea021fb,84537f6a,9dd45ed,3165cf75,26f277f5,b9bf22e7,36291513,10158d63,b97b7c88,d49d88d2,d63dde9d)
+,S(a33e07b,c2934f5e,f02ae143,6b3ef5ae,d2d633f4,2b40e35b,d365fe2e,b8c72d51,e93cfd7d,f2e98817,9eb9c348,73530504,bc5cd8e5,d8393f0e,844073ee,df6d6511)
+,S(5ee1d077,735a4a18,533b36d1,eb484f14,98b220eb,cd41746,b0947403,d6b4644e,7d4e1233,46a6ba1d,8a862514,4d4bc5be,72e23d,f25287c7,3512817d,e632f8ef)
+,S(7485b837,2bb28a8f,d496f6a0,33b92ba5,96202661,8adef933,d6aadc56,55765b0b,a58defb8,deb4445d,80016c9f,5c04c2f6,e06986c8,cc95da94,3105d8fb,d0fe84ed)
+,S(3a321f94,2268584c,cac5d8ce,5d6011b1,22169e73,d9093b2c,e3e0bdf9,ad680d21,99fb13c0,ecb6c544,1347a4fb,842a7269,1492219,f9bb7c25,1916f837,7d4e2cc0)
+,S(c115a2e8,265c6005,10bf7108,ee30bee1,77893d5b,ab0a8cc1,754810c3,3f112585,e2f0a636,5836a24c,7a5c6997,45022e8d,e0b88afd,37737c84,d1ae437d,eaf0b3d3)
+,S(d8895b97,cd390ca2,cf8e6093,c125541,1602fd98,97074a8e,aa11bd3f,5b0f3c1e,af8c594b,bd2308e0,12a632b3,1d05a25e,23247f75,6d7a22f6,fcf48cde,28056ad)
+,S(4ad1fd48,e77fe497,b4a15e7e,869377bb,163d760e,105e46a9,a5477d69,fa944eb5,a96cce4f,e2f5f590,17af2359,1dcbda3,b640271e,95290d59,1fdcbd8d,ecf39703)
+,S(62ffcf4b,7ce6c5cb,76766893,bd0a6f2a,e33ef821,d953c001,51c4be3e,67f2cd8b,d6b1d025,152db954,968ea1bb,dd2a89db,16103f55,47cdd042,9b7380f7,c4c985f8)
+,S(e71343c3,cec5e49f,60fea970,6d256a4d,ba499e86,6f9ab33d,6045a1be,cac40a,ee1fe3df,df226027,78228bba,91afd126,a96fc10b,f5d2cad1,26091119,3a92b426)
+,S(31766ef2,f3531ead,2c7bbaa3,279e81e0,b040182,ab78065f,d193061,2792035b,87b93ca8,91151ee9,775669bd,df2e5bf7,9f728d52,efabf584,352ba4db,8cd6f6d7)
+,S(1e8764f1,982a97d8,b65a0a60,53a2fb5d,39f1221e,dd4f532,b007b2c8,c52d39f,8ed84e0a,de68b789,5ecf8c07,80ba0b26,53faeb49,3d23a453,cc23987a,b51f3a18)
+,S(e249cd91,4e35f97c,92a07f4d,6f9961bc,d7f6efe5,ccdfd44,cb3bb698,9939fe43,9ee2fb47,4abdac66,5bb0178f,d8ff3bef,6381a90d,bfab05e4,a9e5566c,cc362ffd)
+,S(b9a28764,d21db971,f7cb0c1e,87c9db64,ee6a1acc,485a02e4,5d5ffafe,ea1012b9,1b55a989,43ff4fb,25db6aa1,12d5c459,b1ee0fa3,aea913cc,54878682,f625e882)
+,S(5d042803,9f8c37b4,dc92a9ba,43bf7213,971488df,be699901,31820bda,c0b6ff03,1ffd5348,88796c6c,a631c3a1,4773f89a,ea6d5914,bcdf27c,38949147,cab8ac1d)
+,S(6d817b42,52986e2e,8ecb908e,99011265,df0cff59,61a82b2c,baf0c61e,c8b22326,55cac99a,d6a70b96,5559af1f,c5b67469,5d653662,bce7594e,22916fa,7c4b826c)
+,S(9b069431,297f0d35,91451039,df8a382c,1eba93c2,f62f4e98,90e54559,39916ae8,70bf9138,a04b9f14,2841a2e6,bdc3600f,1b22c81c,ba27f308,19a763b6,e64fef71)
+,S(dbf5e41e,d83110a0,5dce4bbb,bee05f0b,f9700ef8,273b4bbd,57099bc9,460050f6,e3e8f5e1,697b05b1,23632b89,28c3b34a,6cf1e6f,327b4252,c3009046,c8406404)
+,S(c8ef12ee,22aaefbe,9ca024bf,ba8fd744,d7c5d489,663cde66,a3ff1dee,8174ef33,db64c2c,db21415,fc552968,fbef01ed,131db2f0,1ec8372d,1b9da98f,4792e8e5)
+,S(3d086c8f,af84b66d,bb9212f1,512663b1,793d6893,23f45af,9bdd17ba,fed8d7ce,2d6a47fa,9e1b6c20,a2cf30dd,a99547a,b9ab9c13,5ef86ebc,280ac62d,2ce7847c)
+,S(e173d58,714db8bc,cfff3ab8,8cf1be0b,547e03f9,db60c97b,ba5a6735,cbf4bf4a,44b8f991,6764f393,68b36b56,9033e304,7fe90662,70758fb6,85cc3f6d,e31b2fc)
+,S(31ef8faa,90826125,66e739cf,299de928,68c6027,b882978e,f72d014c,4aa4f379,9fb9e021,fafac237,8d21caf,f1262d7f,bd9b8333,eaab0fe8,8a3499b3,d153a2e5)
+,S(5e112e52,2997b67e,146b998d,781bc528,7e2ad47c,b2c5863d,eccb0873,fa088b3b,19cf3f06,d3c1fdeb,8147e074,a42fe178,c0b14135,2dda5274,50a7d5ce,58d3d441)
+,S(9ba2cddb,c1a5153f,89e9144,e862acfe,c624095b,8cf8b7a5,b15edd6e,c7b70eae,f032469b,9527911a,92dcff6b,5847fbb8,9f4ce42e,f20b40d4,80b3a58c,72fc805b)
+,S(9ff7e46a,4e2c6e9a,d5843f4c,c5e112c6,557babe,723203de,d75be7eb,179e814,ec890ac0,2ece651a,6614bab2,1e4944a7,d248c886,bebb33c3,36c28df0,69be91ff)
+,S(2a13752a,1aea6e21,d25ea21d,b644ab0b,fb84b130,8d3f2083,be26098f,fc4978f1,18f4936e,65ab66db,11bf53e5,7eb7d114,4820fd01,ed827f96,652514fc,d8ce910f)
+,S(a0647c4f,2b4f271,97f3fbc3,bd81bc7f,f72d964c,1bcc131e,caf9bda6,57b356d7,5e023102,9a8eafe8,9466181a,80440196,e850390f,d42dfbc2,1d3fbf6d,6373a56c)
+,S(6abaff96,aeaca928,ba9a0503,dcff7a51,420feffc,33b1ad53,b1a7bd57,8c641ede,ab59c03f,7ad47f73,df424882,dc3ac2bc,dc2ae6ed,3eaae48e,b807b010,98dc0de2)
+,S(442abb18,54161ba2,47fd366e,52d40d56,65293573,c339aa2b,28dc67c6,70f4ee99,c3f44b44,d13ee3ed,4ffe5188,c5134d60,a28806b0,687b5652,99924655,342a5898)
+,S(9f54f23b,45f632c1,f05245f6,c5d1c433,9e18671f,da494eb4,3bd22be7,b1610096,25c9e532,1a5563f1,f47a1e4c,99d6def8,541601ac,8420de96,190157ed,aa17445)
+,S(50296c0c,185abbc4,1c86f578,8dad10f2,7f76074e,24e931db,53944b48,6ddee613,81a02b32,b1edd539,37ee1c78,ab630f2b,45336e16,cfc560f0,adeb464,fb71b9f8)
+,S(39c2d099,e2892b2b,1b6abb1,a198305c,ed59d94,f7022cd6,d521b510,9a8fc219,8900f6e6,3fe1a7c7,27728b92,aea4d70c,1316570f,edba940c,e626e94e,f03dddff)
+,S(3581e30b,17067e44,664201ba,d7a6ada3,e0648516,260b760f,b406dc48,11c9d0f4,c8bac129,83e49250,bc478ee5,fcfc0660,37d68f9f,fda1acc3,6861743e,d7a794b5)
+,S(72b67dfe,d341824b,9fa09057,b8362d1,38287eac,7292610,1169e41f,19dce477,be527b0e,52ce07a6,99065bbd,ebd360fb,72c6dc77,88030aa9,45fbbabe,7f038524)
+,S(805af91,4a973e36,43712cd4,4a1da4a8,3d1237e5,9c991387,17175aec,4a8667c4,f6a7beea,205810ff,5d1f0e8f,5818854a,bb730c7a,1ddf02c0,968b1b05,92ed8a15)
+,S(44794289,4b297a87,e3cdeead,5cb2dc42,9fdeeed5,b8038189,331874ac,88e67536,d67efdbe,8d7ab8e8,1e25c340,77687b94,d22d8ec,b89d7f5d,46ca212f,abcc1b5)
+,S(b73347c9,baa967a7,5e5c8ac3,14f3c6cf,275cc893,72b26bee,731693cb,48d36df4,307f8fa1,98f1ba57,7ba330d5,816cb8de,d9ec3f13,6bec0586,53c64675,753f1542)
+,S(ec6d499a,efd540e9,357f100,4a136049,d1f7df5a,d99c44c4,6e3ed416,9e40acb6,21e8082c,df4fa2a8,38327e80,aac15ee4,40549109,aaf6ea01,ccbfb95d,3f7a47c4)
+,S(7607b7ff,8bd8369a,67d22545,c40a1588,aa2e50c1,b5be6115,cbb8794e,2085f283,6c4a9aa2,1dd2ad4f,7d6c4f02,23885803,ac3b06fa,6c0772ec,bfb610b6,a1d25ea5)
+,S(dec4b7ae,42e8a25,2c414458,d4e0d7fa,4bf4d0,c9432754,13d3b770,8fb53839,bc54d902,6d035b64,35796475,67805bdf,af6cdda4,d0177206,384c4ca9,8edb5898)
+,S(a7be1017,82bf48e8,37c2e0ec,821e37b3,eab03607,36561152,a95a06a7,fbb7ae2b,dfd27057,dfaae0a9,b9523a9e,dc28a2bc,3631e84d,5fdf8c3d,e1e65055,805fe0bb)
+,S(cb398b20,29e55994,741b87cb,592e9099,926229a,aea60bd6,30eaa528,726a04a7,263e89b5,85475a8a,50723568,d3328fdf,56c8fa8a,f0f796fe,7b4d2fc5,9aafe2fc)
+,S(438a6d60,c289dab2,e8933153,5c2e09b7,a677cfcc,a605ea72,8815bdd2,615c852c,109ed19a,51e01f3b,a9dbea30,f652676b,b3a8afd3,5ab5178c,ae557793,13025f)
+,S(4db8d4d,882fe513,e5738be2,347a05e9,2c97816c,b39339b,adeef99,7b682e50,88280370,d13551a8,a9803a28,c56bac47,70feb07f,56a1a0eb,d132262a,f1ea574f)
+,S(ae2ad953,bf13c4c5,c3fd5ba3,389323fc,260de722,e36bdbae,6db77b2,1c0df210,a5866bb1,7580958,df07c171,80606be1,25b3ee73,9c3bae92,8fa35e9d,8efc7364)
+,S(85b3809a,3f772b20,dc526b9c,19de8cd4,9c2d9814,df4a9b60,1aadd016,64c66c9d,984a8061,2ce95364,b9819440,551ab1b6,4028f61d,3028b725,74dfbeb6,8c174cd8)
+,S(7e2ddaec,e443396a,7c7eede7,ad96c2b,63faaef1,66109949,e7431b06,309259e4,3aeb7f92,14fd37f2,aeec1921,e64e7a8f,e6a4c704,dfbbaf62,779d0eb3,3b1e81cd)
+,S(4565a74,6cd1d26e,962bebb4,447985ed,7b1622f3,faade84,1291d694,17c3ea84,7215d7b9,6362fcd2,320c0c29,e0b304d0,ab174103,bfd372ef,e6e4534c,64ff3708)
+,S(aa8c5a11,712aa04d,a870bad1,606c9549,bbf676d3,1ea5b260,27bd1055,ed56f996,11ec28a5,a7435436,3d302f23,24eba092,68028664,f0ebd323,cb7bc587,7d92aac5)
+,S(d9d5c0d4,b5a3305c,9f057dc9,8ecf7482,f6d825e4,69a641f2,caff9180,b7096e0d,d2b0eae9,cdf57651,bd296ad2,f4403e77,d643db66,fadd7a84,27a150f3,6d547ec)
+,S(2ab2e7ea,1e1bf61a,8bedaa4f,e8fe3a7a,db66c25,ed1b7ebc,536efc7f,8de22777,28806bd1,fc7dca1b,a0cdc177,908e0588,605f8c1e,e76cbc07,ea05b6ad,80c0e5)
+,S(2da97d42,a9d064d7,38bc7fc2,f2db39a9,588d57f9,8094903d,cdaf5054,238c1568,fff93946,e789b902,8694ff95,a68a7fb2,981ca0d5,d2b6de3a,b3112381,b8360f1a)
+,S(470fd28f,31418f2d,70367e4e,961da5cd,af8d0255,5bf6bcf5,e7db8967,6dbb174c,59a49444,2a250264,3faf843a,cd242640,e3622df9,da6bb1cc,6c956b7e,5a26078b)
+,S(e41bbdd4,6b78fad7,ee62c33,9664fbc7,e884f88e,dc184e12,715e8368,160a7ef5,40252593,7979b92c,f72bfa7d,b3f378f0,cb4de758,a6348c7b,2b1d73d,57ac9faf)
+,S(9761799a,7e155a4d,e6aefab,963b23fb,1f17d8a9,cc5f8c64,6d4dd638,2359c553,493bb00,3ab38aab,cb4d4491,b6b9e8ec,ef068c9b,933fbb32,6e0e1c75,ca44bf1c)
+,S(d59fe2e0,5fcdcc2f,dcc22cb,b9220051,2c936bc8,2205f5df,75267a5d,b45b1245,68af556f,949df3fb,d8299f05,f5e85874,57d109bb,4d395634,89d3ac77,3d4b7b2e)
+,S(f8bf168b,8a03f3c4,8e7568ab,ef613bf9,3f515f71,93a24b62,827455a6,c6bdf142,434f350e,8eeba6f6,d8f07137,a33199b8,88907744,eb547384,dcd96aad,5f9f3911)
+,S(65298ff,636b442c,8c45e748,c3cd2d1b,94770ff3,3bde1d63,21135bc0,89ed81d9,d0aca445,cf460f5f,47090202,2c84fe1d,ac0a81e0,b7458e4c,9b21dc34,8c223ceb)
+,S(d1ac0d0e,25dd02d6,fea02b6c,c98f4b17,38046416,93258208,f04a81d3,450aeaa5,be491f07,1833efce,56197dd4,d3471eba,2a23491d,f09a87f9,8a4ff14,257d1dda)
+,S(be876d37,fc1605e9,ea0923c4,e53497a3,8d51190b,dfc3dbbb,3191a483,949cae1a,8499ad31,ca5acd99,4a98caa9,2a91a321,5fd1f1f6,cd70c463,afb91673,ab6b3a72)
+,S(7c440cd,aff0d8da,6fb5e2c8,fe27a301,c2906a63,7d9b1bf2,db848f13,175de738,7dd6cf71,cb013a8e,9494cca6,b418fb,e99e9c80,3ff34d35,e586fe25,8ffc4fef)
+,S(25086ee5,f0037c83,e38abbaa,e0e3356f,c49020d6,f9006edb,235937a0,4d7074fb,35c21eff,8cb888db,d3271a5c,4dc1db52,2072e58d,974af68b,4d6cecd5,d13e582c)
+,S(b1a7584b,6f43a593,363d6e62,edade636,55ffc711,48e6c9b4,2915d0d5,ebf4dbe9,f418f23a,9dde8808,59816098,ea06d2e4,dbad3385,737b7bff,a1b339e,1b556718)
+,S(87e1c0c6,aece59e9,1118829d,ba8e0271,db30409f,c08dd790,4296b91,43fb7aae,4694c5cc,176cf309,e4bd4935,b88e2fb0,e7e1b63c,28c5bab5,d3356733,184ef152)
+,S(19f43d3f,4bf0f2b1,9a157f3,3f71c5a1,20e2135,3187b508,e568dc5d,8131a2ea,3ff130d9,835e0eab,2744cdb2,5607fa63,edcf9648,d910e25f,b885ba9f,b340860)
+,S(a7f9239c,5e8e371d,7d175c8b,120816be,2e543d89,a22c3f7c,5478ae1a,14f8f6b8,75711a87,561fc767,93510d5,47abe6f1,678d0cd7,335e7bbf,b87abbc2,cc3089e4)
+,S(9f3598e8,f80cee53,969a79a6,d3b655c0,66283a8e,f2c5d7b7,8ce89e67,5d06446d,d9cbf50d,c2aedfd4,51fcd93a,46245bc0,772e9f9d,fe5a25f6,3af027b2,ea1edf79)
+,S(cc00a72a,66dfc8a9,e7a4edd6,699764ca,c15140e7,216daa59,cadf0edf,d1e3267f,91b10836,c8ebd031,2f72cf2c,cf26c89e,1489c100,c72a04cc,71c0d08,45c27d94)
+,S(2dc7758d,b176a48f,f3117aa9,671f7b6b,f0b2128a,4bc60fc3,f907eb1f,d20ff347,afc82704,39787ab6,bec0d4f0,7b7f2896,43073cfb,65e9d3ce,db8ff7b,791f2f59)
+,S(2502f7f5,8dba7c37,bc4637ab,8c77c047,700dea3f,5b760ec7,9b68121,9cee008e,f6fea3d6,4e776f5c,cd293dd9,4109d6f0,1e55c039,c30438eb,6e626489,c92f078b)
+,S(70d39d43,d7f2092,53967479,de620ed2,bcf963de,6ceae3b1,a80fd275,1801382,fef8bea6,45807be0,e1c5c3e2,4d391d8,bf0a6b33,564749d1,4fcf4ef,a8aa7133)
+,S(a09962fe,9a934004,bc31f92f,526ff444,da7889e1,79453a55,b0fee769,34c69c2,dd717079,8cf19b8,1f55fdcf,86cd3755,f708256e,694fdaf5,f929c967,eff687b5)
+,S(355a2555,4590dcf2,84ca548f,9ec9f40b,22482773,cf122a40,25ed416b,9d29c692,549ed0bf,db861bb7,4684ebef,7d70ac56,3703997e,c59b1f86,bb4b5dfa,574a2f64)
+,S(4c145d2c,a165a5a8,b66f7fdf,c16bcd5c,c22304f2,f0ec3145,9b9fb0fc,797c9b9a,7cc14054,948caa4f,be04b54f,1b60a51d,cc482fc8,c94825f7,8de4f4a9,a63f8d5e)
+,S(b5ac199b,fa591300,6d635fc6,86d87cb2,52c5c67a,6b897a09,bee578f4,9c57f8f3,41e164ae,d3d967da,94f0cd06,91cb3ec0,79c5712c,279b3a8a,d75affda,2879b234)
+,S(ad619913,f00f620,38321c3,59931a9e,fd26941a,aa02a812,8d9f3bf4,8818185,d7b5a033,9e4b8ab2,bf66a597,45c0b496,b5825886,9084d306,660670f3,a9de912)
+,S(f8314cdf,d7659ce,e8377abe,f4c80b00,9c99c1b2,f2bee37d,a726c6d2,a1deea90,db5a45c9,a7ea22cb,dba3a784,131ee81c,2a1d9edf,d9ccb9f9,6fc93d35,a332eab7)
+,S(1fe1bfca,5df9c482,68e88661,89e238e3,7915957b,aa1e0c3e,af317d12,c2f84650,dbe03060,745396b6,fb22d6cf,a6b27329,3b3ed08b,a24ddb38,8942199a,765d7414)
+,S(c414da43,814bcc43,31269d58,1c0a8c14,9e304f5c,13614a89,7f414725,9ed39070,ca194f90,dac3f722,6090b94a,3b94db7c,5c68931c,7461619d,8b912692,4fd90a4c)
+,S(81a098c3,d1ebf427,69f621b8,3eced558,9dc0faaf,24206f97,480e40d1,25faba3,fffac91a,3b729698,b0b26f8a,e6391b1c,8f8327f4,7978b011,d7d1cebb,6b0ad8bc)
+,S(f99441dd,e4332003,b6421463,b4bf6595,172121d3,f000763b,a40cccdf,be2cf439,231fa7c3,fffcee74,bd111f18,3689062e,1b6b366b,2fe14440,2061de8e,4688b3b9)
+,S(2f930e6d,e3586768,792e565c,211e1abf,99e05fe8,79c01083,3e6e5121,7abdcc60,2d51a776,209a3da9,ca4dda22,7beea48,a93a90db,b51f0721,2864f36,a56424e7)
+,S(9f8e96d5,99fd07bb,e9e0010f,90802d25,4b30e359,bf0fdcaa,d6e782da,62c6d25e,baeaf150,de04c7ae,d8d34278,aba6eeb4,9b3f213b,fd56585d,41890632,d6b64e02)
+,S(57f186f6,fa5f4aee,e3e8b44a,d775301b,66d7fedc,4ab8c827,cb138386,64727f10,5a65c0c4,a69b16e0,1c32a95e,77c8f99d,53bc15af,5c168457,19bc8220,d7baf849)
+,S(d344361d,dd0b764c,be16f46f,5efe166c,10a88bfe,bf532a8f,a1fe138a,78e0e1ac,dc1afcbb,a84b8524,a5d985ac,5506f15f,d0b92f85,875c2c4a,4144a93e,e455792)
+,S(444163a7,58095900,e5c8fda4,88ecae95,24fe54ae,2592ae53,7e6db41e,8019344f,bae54b91,e69ddcb2,c1bf22e0,bdd721b7,a9ca51b,dad93b28,59e09509,77c26488)
+,S(5ce2e1d6,46f10fe7,e4196414,37fa2c16,48029fd5,5340d2e5,f32d467,e0c4e222,6e95f538,cadb1b56,8313429f,35fb925d,d9ba571d,bc6f3970,ff4fd276,4228e82b)
+,S(8b7226b0,8525a07a,84ee858b,58c418d3,1d4acdaf,9b081761,56b83a8b,fde6d773,684e6dc,37a2ba2d,89c0b01a,b4e1fcc2,1734eed8,2f7b1509,6724acab,5e276006)
+,S(6aa5e306,36046384,ac8e3da3,f2f00713,8acaa0b,b0d12ee2,1e69018a,4d0554a3,2144dece,31a7453d,3a07e290,cef1b694,f393e5d3,f6cb07b7,a8c991b5,2a788029)
+,S(8537990b,dd59836d,da16ccee,3871a232,3bd841f,6128f845,b0369857,66c7e0e2,beda6acb,946a6e08,43ec2890,c2d11ee2,404cadec,afb3f1c0,37cfb9fb,7b733fb)
+,S(85a8cf21,1de57c,9c0ba88d,2f9a773,61041619,639c9de3,e2f2bc71,cb9e66d6,80d1d1cc,3c757338,f5a6aecd,815cd5aa,1d772aeb,5c1efa05,d5b64886,97ff6de7)
+,S(d4f18d05,cb183c54,7594ea93,9330c174,37870e7d,48a613ab,4a920e38,18068267,32fc3b50,394bfc8f,a2a3f912,b35ebb69,d388c87b,198c3619,b04b6b3c,36b6190a)
+,S(123e8bc5,65ceba86,d4c1726d,5e7e2a32,ac6f628e,940aa97f,c96ff72c,ec79e637,e54b4332,975774e0,748fb58f,3ddc5a14,8c3eb1cd,824bab83,edc76c28,e991d2c5)
+,S(ac26cf03,c5a95e3,9a975746,a26bde6,8eddd6b1,6c83a3c5,81fa0a79,e93d0cdb,73ebeeed,b96d879b,882ae503,2f400142,5c8ed97f,98daa225,346a5b7e,9abc4832)
+,S(54f2cc5a,a4d81daf,6600e921,441f5aa1,5bb51a42,7479e123,b9561d0c,8c71299e,3ff4e7f0,83f85039,d238a740,b7fd16a1,e313cbb5,b0c6fe5d,ad99f221,da4aa27e)
+,S(8bd785,b73cca1c,6c405ca9,1ed4833b,428b7ddc,1a61c8d9,b0d1dea8,ef133586,fc5b65e2,5c3fde0f,3239ab96,625a9751,27a30cbe,f98e1ee,735c1f71,c86cf292)
+,S(bd4218be,af5f92dd,f96a54fa,fe873cf2,171c2e30,a13c866e,e830bb2f,abb17d5c,86097c6f,91024f4f,8900853b,d17dbede,e2674e36,9f3fc69f,a2578eab,174e783f)
+,S(a4006630,1b63e757,fce2f5d2,a7444e5a,1f2d7509,b7f59476,6951f38c,1755b497,87aef8b3,eb160df9,4b46a56a,337b6400,c724658c,a49c1162,c418e900,29efde08)
+,S(5c5af5f5,65b2870d,6fd08f95,b4146379,15cda056,e18ef682,4cbbbcf8,adca740a,c7c6de6c,e679f0dc,84e28027,86ea726b,8eb0ad04,af4b9a5e,de516f11,583607cc)
+,S(b5c3629,b86e9235,478aa7e2,d2e5b539,b70765b7,79ace9ec,ae76a659,80f0ebd3,86a8a06,84fef80,7a081bf0,3f08c078,7ad04420,76f5e1d4,521cffec,8b2dc96d)
+,S(1784e06a,cd25fa66,72d1fc08,9219cdb4,54f5c711,4237bfe4,a2143eb3,20a0bedc,11feb0a7,d8d43ebd,5bfde5fd,21fcaa5e,7f091da6,3acf4b91,956172b3,5d3af378)
+,S(39266c28,48f58af4,47e5ce4f,61cb3ba6,9c3bfdad,7e5742fb,ba4ca3f4,f175a291,7be4b872,9d1e2fa8,fee16e5,bfcdf4ef,2cff2872,e9c7fea2,c1997d6c,5d7f1efe)
+,S(d6fbeb8c,72214cee,58b33bbf,2eb04924,f96e9b63,d104aa92,fbb09c8f,c2e4b1a7,cd9bbb10,a800d777,9d4cda4,561a2b8,759b4dde,45dfa2c,319e4e59,39938c8)
+,S(42ee0a83,85464cbf,cd4a9ac2,73001bb8,592f2a74,b28ab7c,2eb7055e,2a471b76,d22c6ec9,d5499b4f,26947233,a5589aeb,14c94376,9a6166c2,af9d323b,e1adea4f)
+,S(8cd2a043,4de9b238,f4dbc3b7,e56ffbea,4f025e2d,6c73a68a,4aa62bb4,9e9057f2,abfe69a9,986ae1db,52a807c7,c08a1116,a2dc7aa2,ec3b649d,7326bafa,ca74d21e)
+,S(14c35089,62dcb50,d01750a9,441eda38,1a95abe3,72c501bf,a99f953a,5c94da3b,bc57dbf6,bba79503,f33be20f,96a54fda,fcd7be9,cb064410,3db11e3e,2034a3ae)
+,S(2cddb646,76717e44,86fbe0a7,f7d6d853,7c3fff9,465e31e6,8da22abd,b3eedee6,136346f0,cf5fd102,932036c,3605179d,1429a706,71d95524,a14869a3,d1cae8f4)
+,S(d806ee3,b5702d23,50c3f179,a00c3701,9c055103,318594c5,8f10b100,1b705aeb,79201749,21e69cac,a0ad5902,42e39a04,c3af8cc4,c665587c,cc0c89b8,3744b9b2)
+,S(534f24,715e9b8f,f5f76a4f,a617839f,6fe2f175,3cbc3d80,331d12e,98f6ec30,e26ebaf6,4affe9d7,1ba2cd55,421c33ef,2e4a3fb1,c59a72b5,93ececec,65a40e1c)
+,S(f33af0ef,4e23c8ae,7f3de5c5,22e8bd9a,6e527c8a,23242c8,4ae6677e,ec90b8f5,8510bee6,bacb5633,45f38075,8d85dd0f,493d179c,b9250d25,fe88134a,6055aefe)
+,S(3cad4725,12a745f6,7e36fb92,1a2926d6,ae294278,8004386b,272d8520,f5a9aa61,d12ccf97,27da84fd,317116e4,9d45d741,776c8278,4b2c9f1a,e3773e1f,57b8934a)
+,S(4b7fcc39,5f50944d,5cf3b3f6,2b1bbc3e,3aca20e6,d259e931,d3398d08,cb6fcdf1,99acfb05,a106a389,b7ad644c,cd275396,d76b046e,9992e573,dcead5c6,c7da96ff)
+,S(9b5c0e8b,22a62110,bca2770b,778f0a2d,6d67e908,c57f806d,7470f5c6,abbb27f6,da52c77f,ea3056fa,dae674e6,daff8b21,100d007d,8bdefb12,fd56efe8,13c15a02)
+,S(ee7b7f5c,e79eac13,d9b500ed,ee0b65d8,e7c93203,aaad71a6,9a935e31,20722361,e77ccd78,bf6380e0,5e5e8de2,20448a00,cabe7d6c,6b7ac318,56c09e2a,9a390778)
+,S(b4774237,d36a59f0,e39a133,756bebf7,4df43365,2a4505c8,b0b84833,dd5b3a1d,5a5a03a9,e3463ce2,fa8bbfc9,afde9c25,763f4874,3cf0b2ca,7dc42c3f,9bf3accb)
+,S(5827142,c69944cb,a066a985,79acdc02,83e1df82,8935ba82,5aa55047,5a52271e,c05c5805,6bcb6cce,ed5e8c8a,beac78b9,69c3b482,7ef5b402,c94fe1fa,f7fc81a7)
+,S(ba06eb6c,a54fe697,9be9e9c0,f8c77be5,ada7bd7f,43894d1d,1705cc18,9c9b0ed,176be0,b5d3db28,7f235e2f,a9531fba,65f5ff8d,55b784dc,bf7271bf,864e3d5)
+,S(ed84c2b6,11c1208f,2f059d37,a3d2ddc9,c3a0196c,9b9dee3a,5f2cbb0d,9383625b,6dff970e,b08bb4c5,4dd6ad6e,df25bbb4,621a5ea9,3869de76,2524dd2c,af1c6f6b)
+,S(158b136,86fbdcb6,ad8ea001,9005405,b5cfc0d8,f614592b,d9e76b1d,8cdd568a,8c576136,634af4e7,9034b450,1bae33e0,9b5712f8,642cbeb,2b7c8910,cb28fab2)
+,S(687d52da,10df8013,7232821a,990adf74,c54711de,110027f0,68464c9d,162c2410,dad3819f,8071b3cd,dd84fde,550d24e6,31785e1c,e137e115,8b5cc687,8cd09f10)
+,S(32e8617d,de77c33c,a1d317db,d350298,50dc7fb7,148913cf,413e04b,384dc81c,9cb2fdd5,15231e83,21a3feef,804d62e9,2b8b9c0f,dfb73dd9,c3323017,b29f2ff7)
+,S(a53a659f,7cc90421,21d96a90,3801753c,ea43b363,405af6,16d50b4e,fff054df,96734742,ecb3c201,742f8f64,df22569c,92212928,ca0d5453,d706f905,33c345cf)
+,S(8a9e4990,b9b1a2b1,32ca9507,16170713,bcbf5719,2dca9d71,7fc9c4fd,a3993fe5,9542de81,f66098dc,c0bb0f89,44ea56bb,bb7e86f,9c63222c,80620c7d,2fac20d)
+,S(5966c5b0,f92c5906,b9bda0a,7b3f10f8,e4c29796,f953db1d,35976175,dcb431d4,539665b9,90bc3810,4b7938f3,47ac94dd,7b9228cf,7270284,a825a202,ac62d135)
+,S(2170d9c7,4ca5e85,305d159e,697fd1d,d32d6f6c,a2806992,f082ce00,9139c34f,b5cbf529,66f71e55,8015c90b,ea2b95fb,4a0fed8d,ef1f9af4,518789e7,39076c64)
+,S(86e9b03c,2497519d,615f83f9,d0f9bf9b,101b75cc,50059e19,4d7b58a2,9b6fdf76,215d042d,7976ea35,a3dd586c,f5b286ba,a30e013,966fbb45,99845111,db8b56ed)
+,S(2cc7d91,ba630172,ae56cf60,9a5d3c05,e27c2e68,7d607c85,ffcbf6c9,a467028a,9404f869,32385290,dff3f8fa,1a085661,5855aa6d,e9742d8f,9e2777f9,472ab5c5)
+,S(84a89b0b,304ed760,c3a3d972,5a65764a,11d59ebc,25249f69,1d3b8711,10d3cc73,b7200408,fb1ab866,53b61321,10b6bc53,c8a0805e,568f8a0a,80a65678,c54c5829)
+,S(4e9c88e,d10be9ea,a34bae15,8ba3093b,42ad9cb7,356f34dd,33eada3b,1937b4a7,b92050dc,95423a8c,759222ea,c09593c1,342c2dde,5fe382d5,6838df0a,877dbd9b)
+,S(fe2883e6,6db454d5,31f2aaec,96f4f3f2,868ef393,d09c7685,a65d476,c6c97a99,1ac28015,1bc7c0a1,cc4be80,c6eff3a2,b8ae70b1,180c6a15,7c89dd3e,3e78568d)
+,S(c74df902,ba66c205,e49f25c5,62d1eb18,f4f4f697,3cf49135,16000924,80f3f68f,17f7bbc9,59dd7e6d,9043ad38,7c0097b,403c8d1f,e676b8db,d7f2c63,1fa1ecd9)
+,S(e7e7a72a,41f95b51,2ea42d1c,76da24bf,67059e,c27d5313,55c30e60,69a72c16,a20c2f51,6e9ba9b1,fd3a8473,8309ace7,da6006bf,bc42d4ed,657da6eb,6efedb8c)
+,S(5a93859e,dc4ee632,9d36536e,1bf1008b,603d6a8,859ac6c3,a098748b,d6e18bce,489326a0,1e05c331,d97db6cb,68f098c4,6712d7d2,994e6c8d,be892138,e2106220)
+,S(6161b293,71353343,a46d0917,4f6467ea,25a0f77f,fe614133,7fd3bf77,71062de8,57c439d9,a1682d4f,773c8260,6ee65e88,473544ae,64194ab2,3fafc2dd,7612b385)
+,S(c35b16b5,a3808dd9,553c7644,400d6fe8,ca48c8ae,49c78018,4a71eff6,b94ce4ee,6c3baede,4925766f,3a7c59e6,d6c1c966,c3348b1f,5883498e,9956f3e6,6d8fe13f)
+,S(fbdae49,32baf904,1d295378,2d227dce,4e2af60a,86796a69,86b777ce,bd2cd134,9ed9b5fb,df42e755,a9cd761a,cbb92877,6c66d299,35dc526c,f6950ba3,d63d0c95)
+,S(6c5bdede,17ce2007,a3a1c18f,af8a846a,ce67b751,3d8bd602,23610ae4,b01b720b,6492873c,26a22bc6,39d4614a,202cbb2f,2a08b78a,753592f4,10c855d8,12f8d39b)
+,S(eba4e62a,bf52b379,9305bfc0,eecc63c0,5221a0b8,b554432c,15e460d4,21dddeb1,e378e6c8,d6ddc7a6,72d83c3c,9d863c53,32b1cdc8,21ed458c,b817c49b,6dbdc519)
+,S(5a79ee4a,1aab7803,23ced132,f9c67d5a,c740900e,cf71a0b0,ddb1d6c9,794cd90e,9f608713,47b3a231,548909fc,812624ef,26eb26fa,98630512,2b1466f2,665176cd)
+,S(78b702ed,6d816c15,eb31dc27,619d5bf0,6ad646b2,e39750f0,73c31d03,e50d9385,9f1cc224,91befaa4,fbe9721f,86bebcb0,11024a08,4380e46d,bf11ce99,f157fd24)
+,S(494e82e4,1c24936e,c291f69e,791979ae,3e2a6696,c8f68601,b57942a8,fe6b98eb,59f3af2f,c720847c,19fceea6,e3d2a918,ff7f564b,2e3bd7a4,beda6415,65bf5da2)
+,S(28b3ff40,467a8c68,69fdc61c,33f002f9,73705468,4fc707ab,c0b495e9,a5c0b401,46a44995,b2c8f0ca,a32d8e33,b8e38465,4cfbaf1d,addc4d1b,852b2a04,58f84e34)
+,S(4e4cf4f4,38a40e8a,aea162d9,dac13531,f5730d96,59c436fe,d8acd06a,c4c46be,4fb4bf3f,bc394c7b,57f81a59,2ea14c30,1e9ca990,5f48ee7a,5db08ea5,eb6dfd7f)
+,S(e2ace7b1,3a9e3e22,a9b8ee66,c56e80f1,9370cda9,eb3ffb6,2d20805c,7f4c34be,1c8fcde1,2a653492,6428319a,981e1602,44aa823e,a82831b4,d0eafd9a,2159318e)
+,S(e090ff27,e42469c9,91dab9a8,dc9a3a41,d46b7482,a59ba9b,cf4de93b,c95c7e78,d070752,c5679b45,4e1b617e,8315a48,1cd9d24e,eb53a671,3b4160ac,64e6f824)
+,S(705c8790,7b976b8d,c8ccd3aa,897b2ed9,ea091c37,e285c37b,aa321c89,15ce089e,edccb405,5ae9f933,973950f7,eb79657f,e94fe286,27f6cb2e,784d667c,21ad4d3c)
+,S(4aefb3df,663a28f0,d531e390,339a56a0,4da1c64d,4692c086,de232740,6d386d57,167af97b,43a36a18,1dfde22e,633547e0,eaac2f16,84e8753e,1ba1741c,2a18fe3f)
+,S(ea909685,ee8c283d,1d7dfc4d,6ec8910b,b8d821d3,3997f24c,db5f5ee3,bb7bd72b,685b64,d3e02ee2,be2045ba,c3bb428,636258db,33177da3,17f6de0c,f8c805f8)
+,S(5987cd59,ecccc129,b3498331,f20cbfef,f377cacb,dea76ce,2e221aac,d3aace8c,3427cdb4,f7367d60,44ba21b8,adfd5863,bae2981b,340c9bff,d0d7e93b,ee4d6140)
+,S(e23845ea,e6ed3d33,14fd6f6e,f6d6e9f5,92f921c9,f448eb93,edb49869,97837eb2,89eb22d6,455cc139,e42c6263,b65233c5,4b1a3b45,34ec3d7e,58b788f2,6b11b131)
+,S(cac7dbd9,7dcd353f,fbf60696,d325bf14,2e3920ce,26570b59,ff9aa65a,a6993199,6e81a4e,cd60a26c,90f890fd,6de2d159,50bb70e8,92eed375,25a48f3,31307620)
+,S(9dab063,3a5952fe,f168d6c0,3ebb226d,de3e591b,4ad0c9dc,96b247ae,49a317de,846d87d2,7662b958,b3422b3c,a3410ffd,1ae549d0,c6757bf4,f96d2d77,168cc83c)
+,S(bce277d9,ed439b09,f255cee8,af5363a1,12ec2d5e,b111196d,be30fb21,43f501e4,63f472d5,2649843c,42e8f900,5adfa50,d6a938ef,8f4f04d8,897a68d8,8c213328)
+,S(df9f8700,2a6baec7,8b79cded,bb501dfd,54f376f4,5756501e,f03a6c7e,ac5f1d7a,2a1c5c92,789fa6e2,84105f4c,74b0a108,27ea2f05,5560bec0,5d0000be,b9b6c4d5)
+,S(6211dcc9,307c40ac,3c7be1c7,5553511c,15d3224e,3b305c5a,39653d83,f134dbb8,545c00d9,f02b8833,5fe4851a,88cbde99,f7f02d05,ac674f5a,6559ac9b,d03febb1)
+,S(d739aa30,8d9022fc,45735eed,3ff92f38,545f6c9b,b70994fc,b5f41f78,772c9378,d3c3fbb,9077dd53,d023838a,5c35b728,af4a90c0,1f16739d,12870e1b,15e1e6ac)
+,S(9d85e55e,8ed84471,b6822c68,3268c35b,fa314b72,470e51c1,a7ac9f25,f8bceb6,8b01f444,e84436ee,ae159a32,7026d279,5c4116b3,b2e78f90,99f1035,1511ac88)
+,S(25d39bff,22c40a94,b194c38f,be9d001d,4a632407,237fb091,163e463d,7c5c70f,33381905,11368982,445ad7f6,608be022,209466c7,98b9abe4,f4fca781,2c0c398e)
+,S(67553ed3,f14c28d5,2abc36c9,3f15d0c4,7f6fe1dd,628b652f,36b29225,ef8ff51c,da5d42d5,9d41893d,10ed28d,569c0cbe,1cc077e3,36bb5c21,e3712bbb,9c480383)
+,S(ea3e80f8,c800b52c,a6dcbd2d,399ec5db,65057477,8852a73d,68af22d6,f1abbefb,5cd8f55d,b5330919,377b48d0,8ac1bce0,dfb8c3ea,2b97a5bf,547b7beb,ea64a4d7)
+,S(7cf11aaf,638b1fe7,3b8c5753,48bcc01a,41c61ee8,f2eb3279,c2ad21b7,f6f60780,579d9a90,3a8a77a5,6bef3ce0,53ffb3c3,cf969f9a,39ea5bad,b1fa075b,e918f048)
+,S(ed377aa8,42897f6d,1092caa7,42c29285,2349bd7c,a0e0cbce,d3cda58e,ffaf5e17,44d1e8bb,6491dfea,cde53662,5e5d7b52,1ca11a47,1eeda260,647f6f0,f0c5f917)
+,S(fcafcd82,dfc87415,6e0db5ab,2fa2b56f,dd488032,d22ddc1a,b7a0ec8,1f1c4083,42f88e6a,cf851a7e,ca3fc28d,f771cce2,bef0d7ce,3d26da45,a2d9c307,e9e7e040)
+,S(4d372865,7fde43e1,68744112,26b34713,9c1ca4ac,c2905858,de50def8,5515339c,5dc438eb,7091eecd,a4868c48,a7933b71,7ba99d8d,5e8a946d,ca9605a4,7421df39)
+,S(aea6fc55,47faaa10,a898f21a,f63249ac,a0625f78,ea819629,8bca035d,7639e470,4d20c80f,173980d2,8e6bf433,bd1dacc3,1882e283,35fa9993,ef808464,a5568d42)
+,S(f0ce04bd,bfa81a58,e157a49a,11695baf,7233470e,baa7ae76,3a07f0b7,f71cfce,f9e4d701,baa6f197,d9912b57,d9df016a,b789e60e,d731afeb,f2e5f920,b4eef9f6)
+,S(cc476e63,130a950b,b8284c8f,fe74a059,8d9d44d4,c0372a9d,bbabca17,517523f6,d2cd50d2,e2cae10c,df744ff6,61a6c96b,64e17368,5f81027a,c937a292,3ad7476e)
+,S(90e0477e,8dacfda2,7a563448,65947a05,d0afe9ea,60634473,143508fc,6abfc73a,d117be49,166bb010,afb0b82,a46a4204,c18ffa42,e3c89764,3eaae0f3,303dcd9b)
+,S(522a6781,951f6ec7,76b6cf9f,cd20287d,6977764c,517d4ebc,7209d55,5714b5d4,a109c149,6318d481,4cb22199,3567e5f4,5147b64f,c1f9216b,922d653,7637031)
+,S(b0a4c701,725326e5,611ea140,325b0536,b22406bc,c1e7eef2,1f874ff4,e02ec2a5,df44faa2,8a60eb90,3974649d,54cf340e,293fbd09,66b7b7d8,884e4c8d,dc1ec875)
+,S(9e874924,90f8d4ca,2ada28a3,2bccfdaa,51ead138,3421d7d3,482af7f6,6df47c51,a58a577d,d03a719d,1bbb64,6ec3051b,44535da0,5e7e04d9,fca42716,2e335fd7)
+,S(650a307,7b8007ed,f0441dfb,b7103d3c,d5146ecb,b949f9d9,c8c99e2f,25df7324,aa05b394,8c909957,ed1bd7e2,720286d7,56c7e413,8aa202be,b08bc446,2fdf86e8)
+,S(f891ea99,2a3ef255,6feafa4d,7dd3f7eb,1f1401c2,b75d65d2,6ab81372,bab6f932,f7002bf5,821837f5,8df109f7,2ba5eea5,6c767a4e,198a7594,21467d64,df5e0bd3)
+,S(d35e82bd,44fe54b,5d2c0543,91260c04,a5ce8d47,32e83ccc,2f3035e5,56bf2626,b002495,99705173,e0a45f97,196b9e41,1a7f5d1e,33f1b39,100b511c,e51f6953)
+,S(7dd56d5,1f139070,a382af7a,2db135bf,854c8e98,2a325b41,ed869de4,349323bc,a23a473a,7f263bf4,944ab5bc,2d82e20e,8e9256fd,b11dbc17,bc0e6bfa,a8325f5e)
+,S(afed2eb3,c5a95b4a,e88ee73d,b57594c4,7013cf13,a48431b0,f7930d5c,27f5c3f2,26b49096,da666097,3403eabe,342ab065,78c8ec6f,bc3ac7d7,2b3c95dd,54735dbd)
+,S(13826776,74f36fe9,ca81cea,ac65c2b5,51e9fad3,af246f,4cdc65cb,cec534c5,a78e8139,760a94e8,3b3f5ff2,a65fbc7b,6b2b55fc,978b8399,df2d7947,18b496f1)
+,S(99200c12,6fed5ec,1fc849f7,e9769a7b,aae3178,bd6b59ef,2563ed6c,5342b80f,7a7f1713,38a84536,e73f358f,91eb80b1,6ce8ef27,ea55795d,16aa7f05,577fc13f)
+,S(159febb0,27e04f1c,321b852a,3cca550,28aac30a,8bc27caa,73a069e4,df7029cb,6bc7e080,8834b880,c590d249,241b709,e7280a05,7cbc1897,9b8cc9b3,cc21a821)
+,S(2add9be1,a3acdd9f,efebdc0d,a4272ca9,311567e4,61db8eb7,3519c1c,6473bbc4,357ae640,a88c55e0,d3559faf,b0775d78,2373537c,c25e595f,f21ed1ff,b36b5925)
+,S(8e2d4265,1742837b,b077fcd1,488e73e,5dccd6ba,6401c6c1,8d36fe9c,c428b664,ee9a5b1e,a04ab8d9,6430ef39,7756f62f,a1dcf35f,fff314a1,c3eb1dc8,d9a1e5e7)
+,S(79dd7d76,5b4d7db0,537a69d9,b94210e3,8e7a11f8,cb9cdd8c,6aed6a15,748a3ac9,868c4b6,26dc49fd,de693201,3b89cf13,e1dfa1eb,56fb4de8,9e5467dd,86e449d9)
+,S(552c2ba9,96a13b57,32c3b2fe,d4e9579d,365e03d9,2bcb231d,f14d1d1c,288a963,118e11e8,646a0335,6834379c,bc93c1d1,3ad80145,dee0a51c,49b10e17,f6952f79)
+,S(fcfde18,a53b5a68,9d33bbf7,79d0b699,2faee8ec,243e72c0,7ca09185,d997e581,6709b56f,43013d47,23f15969,ee01b0b9,ff0d9d95,5e2b98eb,7e78e1ad,49cf3d80)
+,S(e9e9d7a7,4ad279c5,691367dc,9c4b7bda,b27451b6,a8e4ed47,afae1883,96d8d82c,292bca82,e6d1c88e,8869f33a,7a6df2ec,ad812dca,4c46eab4,5c56c3b9,15f79497)
+,S(514054e1,3e7ceee9,3a19dce9,96256b5b,5876a55c,6cab3c48,74b15547,4a58f285,f9ea80de,80403f34,2866dc40,cb0a9aa,4b38b98c,c4c38e3b,37f4da03,fdf7f5e7)
+,S(ac0364,eeb9e7b9,b9589051,635de6c9,447b327e,8c820272,f04a4750,6cc5f290,ccde3ebf,13b5a291,a73b0c8b,9a69414,4b217661,7b0a7735,3a6e92eb,4af21b7e)
+,S(cf558594,4a73a11a,ef500dc9,60cde799,ffb4983d,ae76826a,a027fd77,811058ba,369ed987,eac1683c,4e8874c6,40049a33,867fa0a,520e5204,df328d89,f197bfaf)
+,S(ee216b85,62eaf12c,9189055e,32cc55c8,2ba5e3e0,237de083,a6e77878,63c56291,2a8bad1d,a697832c,856f6adb,e1cc5058,77e543c3,429b090a,1d3cf0,d2df6248)
+,S(89903a70,55dfcb5d,175acd28,f7161862,c9fe22dc,ab752d88,3f52801f,92ab1892,e89c4f9b,7954c2b8,cd3b4868,ae171331,871a2693,9355d88b,8d37d4f6,b90c143f)
+,S(f9830f50,66b1b44a,89231a81,1192a284,9ac94ec4,13f5223d,51d1e75c,a7727884,18ac8170,58795d51,cb9a5c2c,c249bcfb,ff3fe3b9,1506b721,763c8fcd,7e2ae44c)
+,S(326be8c8,55c9f742,19228eae,f7d79c48,b02c2e04,3bc28e9f,275d6754,31afa8e0,293647f8,76b00450,b223e715,5faefac5,990322bd,eef964c7,185acec7,7c105d06)
+,S(6117b67e,bbd6b120,906da047,88ad7dde,3549bc5f,c4f80e04,9b216b00,d441dc9,7ebe5576,17dabcd9,f41aa34e,1443e12e,715c9a7,ccfa04f7,ec6a9a25,74c1e540)
+,S(1fa858e8,aed841c0,902db240,aa0e4c80,f26927dd,94e0e404,7e8ecc25,216dafce,26566614,2111086b,caff0e12,e4b38940,ecf05a5b,58f3e705,d7011b49,413a52fc)
+,S(dd77d202,96a15eda,eef79ced,9b59e77c,1483b936,6e9949ef,ba3298a0,efac4886,b1914a11,80cb154a,f791a934,8c89bb0,70f2ac9b,acc50c5,f75b425a,df6bf125)
+,S(e5fdfb45,1e7ac947,ece4e8c0,5b87b9a9,2d49aae3,5ef95f5d,1d18bcad,18053337,841d054a,47b4998d,d3ad8dd3,d2a1ee68,406a195b,1975bd1a,d4194417,fdc4cad5)
+,S(decd87d4,6fb74380,56a83258,bee67d9b,1a49e170,bb1b549a,a5c2a2bd,cbc050ef,5ccd1cd3,614fad6f,601a4ad6,e964ee69,a1e06e8a,2e29edbc,7d19562,a4aebc5a)
+,S(1a94991b,939bf699,468c465b,5aa4b064,520222,c0ccfcff,193a8484,6f6e4b8e,31b1e6f5,30147e1d,ec0199ae,1830a36c,bcf4fce1,e1258441,3e89eed6,889b9d1)
+,S(f32874f,d0f18d03,7f0ae5f2,ddba8f16,fe7ca4f0,d694e803,b9216c59,91bb456a,1dd8f5ed,f228a9d,53cf881e,a4e3c479,6017be43,e613ac30,690435b7,84a4056)
+,S(1c5991ef,154b79dc,df2ceafb,3f7fd7b0,7ce7563a,9312ee6f,1dbe5960,f91ba569,497d2a93,28ddb18,221b0075,3432f510,bbf042a5,ebc44cf9,3090d064,4a252a7b)
+,S(3c88095e,dce54996,3bf6e312,4dfc14ff,4ed4ecc9,d6240af1,6ecd5984,5f01de9a,499a17ee,e13c81b9,bb7b297,5e7ed1a1,231d9094,348d22fb,9254c520,a65be01c)
+,S(c849c359,1c4fdb68,55971840,c0b78bd3,59d1de02,130adf7,e277cb4e,f6eb7748,6add7151,b2640b78,b8fcfdc,fee4310a,4c4c97c8,bb0cdc2e,3bbdf802,750a7920)
+,S(f53017aa,a5f79e34,5a0cc318,f40115f2,52ba5401,614b9eb8,ac9245cb,3ca5680d,2d8b8c24,ad89361b,6d77bc72,fb0c7da8,ff129a5f,2bc00e26,e635483e,c4c44b1f)
+,S(b3657e9f,84975313,640b7302,a288ef4d,2dbf36ca,651c0189,b39fc10c,87d7c4b0,d821329c,a2f18f94,7a71f5f7,51ac1b2c,e56aa432,992e7a3d,ef84e631,db61fa14)
+,S(79942dcf,a834e013,77bb3eec,b7fa31a7,b4eabe7a,578c46d9,3a0dd17c,b3455f61,4c08fe53,c3afcbd1,7fa0a809,bd4ff7af,88713a3e,d7713f82,18c4d4d5,2a757ac4)
+,S(e5f14474,619e3acf,905da5c2,3d1bc311,7f1d58ff,8c63ed2e,fe939a22,5fd9d9a8,d4d225b5,85b6b319,431939a6,8e2dafbf,8ed90a6e,5fb559c0,70779d67,7c03028c)
+,S(bc5ca503,3ca4398d,5f3c6240,946c5d7,c9102996,e302b9bb,640aaeed,8c9b54d2,ac15cc8,51e59843,fbb2956f,55d39f24,200922bb,6cbf1e86,68ed3ecd,6fae2627)
+,S(2f3abe56,d63a2afd,35e35d4f,9e964c61,a5483402,5fea8cfa,66ba9aed,f75947b2,7adeb38c,e14ebe73,8dceae8c,77903b24,3066aed9,bc4886c1,356449a8,27496d5b)
+,S(704bf0b5,f564ccef,4d6e5f8b,eb2e90c2,4b46d581,93cc0a41,5bfee2fe,95021b75,44618d17,c54684e,ea1ffe1,53892090,b74201d8,ab3f9312,e7359ed6,5ca94c27)
+,S(a898e473,d4b59956,2a905ede,afc78bcc,9f374c6a,f524fc37,86a91375,83d749dd,5452e556,7d72dab5,e085ab72,1168b5e9,c96a0fce,f9d5862b,9c5a0daf,3769395b)
+,S(fc4f83da,817b1648,a8a1be3f,dbd0f309,db712225,2988ac8f,64774c29,e8d9d573,57876e31,6a0ea473,3e34f34c,b0df75b1,1194017b,258cc944,7ccded35,19edd00b)
+,S(63e97e30,82c36634,d151f0a8,837956d6,16d5d4,64c66373,253bb94,ed5c8236,af68f06a,e045e5be,88242af4,2e314ecc,d719f76e,33092e6d,8b69f791,446c2acf)
+,S(4c06073,5107e9fe,f27dfbfd,5df447c,16f1c911,8ec5cfc,8083a588,9dd82b23,8c8508d4,b86e9eac,2058a912,f2581ae7,fe81647e,e27075d4,fd01b051,fe0ab636)
+,S(667f609,7b6af1f,cff58520,83175f85,ea01a1d3,c508b12d,a2e19281,c8d8e443,ff9fd0d7,4a0cb42f,3d7ff6d1,67e5a65f,23c34679,caf3f94,ed5d1073,af31607c)
+,S(e01e169e,7fbb4365,58e07dce,8f8dead,e2ec2e27,7d18db95,ef8e9f85,ce800fd7,f49f594b,9d60c59d,155ea702,a1b5e3a7,b26aeec6,71b275e7,10d0139a,21041960)
+,S(ed10fbe2,565f80a7,65fc90ef,224c7893,cf9df84d,aa0a3b2,9089f7f1,c014ca50,ffc44137,c3ac6fc6,fddc65d1,87d6b456,819ab1b2,df461ecf,899c70fc,59387031)
+,S(4563833d,d0052218,5a43bfaf,7e55c2d2,62a12feb,b76254bb,e8310687,e917cc36,fac05d5c,c781d49e,9bab4cbe,384b511d,1c8c1fe4,f68cdc2c,8c576be0,1c669e63)
+,S(bf5907b0,1d05136c,b0a1b514,73682fa1,68772a1b,9f5db994,3bdacb3a,1e8c47db,fc69b036,4559f5d3,f9e0c1a3,e4da38ac,b9968e9,17311288,69da2158,2e334cbd)
+,S(be106d73,d01ce0fc,5555d4f2,379c906,1ea6ca18,ef8ef8fa,754ecf64,cfc27fd5,9c84f04,947687e,f7d641ba,ff89a11b,da9e9769,8f8ceefe,54e2a4ca,267956e)
+,S(5bceda4,2e94ac3e,68f6a3e4,e4509872,4724e9fa,59ee0918,859884e2,2c98f15f,4b19d70b,e1471e3c,7907f797,7311f5e2,ba78c6f5,6f2ccaf1,cb6b684f,7d048934)
+,S(e0831b14,fcb2d4f7,3d17b6c7,f6d16803,304cbb32,2bffcd6c,84bdb891,9d7cc9d7,b474a715,5520cd3f,65b64d08,b8e92ca2,4b2238b3,11d91db2,48720a6b,65444038)
+,S(df818b88,2300aaf8,41cb3962,2f0c9166,468c1ad1,3aa284f5,89dc354f,bb1fe97f,40f571f9,f63fb358,231c204b,3b9707f0,c5cf11c6,d7ffb93c,991cf7f8,dcfb3895)
+,S(d9fdd569,bfc89237,4bc56a1e,e56bab5a,cb5e0ce9,85939b85,c929fde5,82a07bcb,5c56b150,4cf3767e,e22e4b00,fa467b75,4c9ccec4,c1364216,d34ee210,aa5b56ce)
+,S(11a93998,d031bc3e,d55e74c9,ab327945,cbace727,647bfcd7,5ed04a2e,4836ba,4aa311b0,6fc8fc86,b67e8eb2,1e75d997,189fa22b,a33e7e99,b07d610b,1c94655)
+,S(7c4fc747,7319464e,2d71f787,80aeb385,aebb0420,d8f8588,9652d5de,aaad580d,31d6d7fc,2cae58f7,b3e4804e,f615d7e1,edf9d06c,d1035b30,ee9b55b,21b06eae)
+,S(83704a5f,4ef8ca9e,a3d5b163,2bb3df98,acd774d6,4e07b219,b9a36a9,ce88e1b7,52976995,faeb6179,bde4c123,1437dc73,b53b6f90,f0cce08,1e3e1644,e1ebeb18)
+,S(5de15f19,21258b5c,f12f240d,147bd38e,fd5e3c3d,dbf148c5,9e541c01,ca7d724c,c0e18562,1500f0,e3fbbdef,45550e16,5fc2a2a,adc72558,e49f1e3b,f5f4fb00)
+,S(f5d1fb46,e3288419,1f2cc8e8,2ba81ba7,5bf1d7b5,97ff82ae,8731d27b,7f059938,3d5118fc,9acc8394,9e0bcba5,c7c79fec,2f0cad64,7910976b,e4e8f9ff,43d8baa0)
+,S(8ebe619a,985f720b,9381a99c,db63d089,6a787dc9,7d007354,fa83b931,223f8596,7968b6fd,e3dcc13c,512aae25,d9a8127f,313e2d9c,34489606,864732b4,c3b5ca1f)
+,S(5b14482d,f96cb0a0,5664bcdf,e4ff7b87,6169db9e,8107b0b5,78baba9e,b1f8fcdf,19a4ed84,cd2ab376,b1e0c2c9,ecded5cf,2e874f09,6d84d946,22be5806,9f8a5e82)
+,S(ae810d52,7f94dad0,d140877e,ddc5e0e6,cb636325,f4c926a,1a263f1f,beb9a8b8,c94f0c8a,f5ceca8f,ea29dbe6,c8afa649,f813744d,39e303b,c1f0c135,867658f)
+,S(38853d15,d74060fc,7eb2a56a,b8772f6,855aaf83,b731d853,b99fde93,e7c06e7b,ade73ce5,4f513c89,531b5bad,7f47ce7e,a498da85,e378639a,5ae0507e,1f27fa7d)
+,S(837a1d99,db477c6c,da832700,37f111f6,eec5402,2bf74773,4c18bbab,35b503b4,ce852762,ed9b36cf,65602da,cfd3a250,c547a971,1977ba86,64f72cb3,89ac1f8c)
+,S(3136acd5,a1460d8d,717e452b,a2069b88,4eb6fa81,756f8768,932c210e,df08173f,42ad61fb,edf97b53,f59ed7b6,afaeaadb,831134ef,73e33b1e,26b2816c,99fc330)
+,S(a9609269,c3ef7f09,2a43e394,e482483c,119d94df,10bcce43,6691230b,b77d3201,8c580df7,9147069a,5c84abb,73e28b6b,ab9c7c0f,7803d6f1,d9fa86c8,f324be1f)
+,S(3cb613e1,1ce19ea4,a8a90eda,cb182c09,5b1601c4,92822974,6ec22fda,be699e08,f05a18f5,aef9dfe6,87e69a9f,287fd868,4c975765,284f578,50294598,51538b05)
+,S(b41c56a7,47232950,7777847e,178eaa67,ce61f561,21c7f21,2c525bd3,e7adc359,b0026b4b,6f9dc954,7efedd80,d914a3e9,65b17378,e6e0055e,527f6754,c5c589fb)
+,S(f44724a1,3cdcf9fe,5b4a8f3a,f0d3e076,4559c14d,87eb8ea3,803a41da,9ee9dbf5,355b54b0,7ae7c477,9eaa314c,953340f2,f5583ae2,ba730339,acd231e5,c3d64627)
+,S(6fceab96,d5851eea,b5db9caa,9a0ff7e7,86c2e097,5c2207d4,67f343e3,cb36ae1a,83f2b505,20094ad6,cb8443aa,69b8af96,b531341b,81cadc21,565d28e7,43bf2c47)
+,S(2acc57ff,ff168361,9275273e,9a821fae,54947539,7f6b1936,13917af0,ef83cab5,764b04bc,9068fae5,75a202c1,f01f87,f3650358,3f5d3042,1e246020,9fdcb94e)
+,S(2ac302a,28126e57,5e6aee8b,2b12ad19,f5e1c056,2d63d73e,80204b1d,1d4227d2,74494cb4,1e7828f6,9d2dd529,a70f2e52,9bf4b524,26a2a3c1,ab10a974,99624589)
+,S(c5de085e,4dcf8dab,497a645,c7abd513,4054b225,32ce8405,f6e5134c,515d9de3,d1da7171,31a859a,a2c90816,386f0318,9759326a,6cef86f9,f3425bf2,390bed7c)
+,S(54729254,5f78e410,db85d01a,182bc5ed,84bf6843,3b5784cc,852d3e70,acbfe90b,618b0f0a,7919751f,46c0ec61,1dddd798,cd89d4dd,32d1acac,31432308,d1a615ba)
+,S(c6fc6b5d,84bd05b1,ec8b0ed8,fd4eceb9,dda38669,3859d90a,a0853c3,7f75e8a6,d3d8ffb4,988f7e47,2c26bd4b,83f95453,149d1534,bfafa97c,39a1e8d2,70c53582)
+,S(1e325c1,ef4a976e,77d6e76e,f9a6dc51,175175bf,23e2c46d,7203d6bf,86ea05ca,60f35511,510aad52,e156e265,6e7ec137,c319b8c1,a1591258,590186ee,be4c1471)
+,S(bbca6232,ed8c6093,7ad123f6,87af56db,28947e01,99340510,95850d38,6ac1d89c,d1257327,269836af,2793a1ea,21106bb7,ec95885f,de541f66,1a4a7c38,39c222a1)
+,S(c55b1ec1,1f7aff98,710c3b80,34021aa1,83645a14,edfc6926,cd56eeb,f1e5332b,e541bc98,7ecd2b66,d10ce29c,572272ec,28c26b1b,1703919f,d0b28e76,4ffa87df)
+,S(f026dc49,feb91051,68f76b0e,7abcb9a3,cc78a5c4,e520c2,57d2f688,5f1c49df,2471f06b,5dc74f9f,6cca7d72,86571c1b,54ab3813,d30bfb57,53274a4b,4257f5c5)
+,S(3f721c3c,605169fe,dee4a4f2,b07865be,e1f0838c,669f7eb0,f234e700,f2fb16f5,9691b1cc,ead5fba9,9d9f1feb,fae6baa3,cc7717ab,c5a671f3,8def1556,e27e100)
+,S(65bccdce,bb7e968c,a1c5dd12,2d5440b,97b07014,9838f4ae,95962044,b822b0ae,bd594952,f8424625,91375009,3cc6716f,cf7bae14,a6fbab35,4a962282,ee0b3fdb)
+,S(6c155658,7020a902,c225d721,7b1a5f2c,5646179,df5613d9,b95826ff,7723f42f,1ee346cb,5841939e,42aa41ed,84bd24b,33075490,68de1809,8e5f8605,59e9c073)
+,S(d2c9f745,8f75b42f,b48dea34,13b2bf9b,dc045542,8c5a3dd4,2a08716b,bfc4367,e2a9be5c,8f06a432,6f148cb3,cf58f767,cfc8f8ea,1ff4656e,ec19a64b,183f650e)
+,S(aa11c12f,5fda607,aeb4af7f,8430cae,3f5df00a,43910ff9,e413b3a4,7295a38,e506e63c,a0568d96,2c489851,489fbb62,acb60d9a,fb9dcf1c,7aba7be2,2e02c67e)
+,S(a355e383,43937932,21affe2f,843d2541,3faf807a,900bc299,5a201f10,d5748f99,22ce77fc,c627019a,ff0245d3,ef2b31fa,55687ea7,69a4948c,5656945c,c5a5c74)
+,S(d8f4e393,8b93f252,da68e1b0,16fe8889,d837ea8e,61e5d3f6,8928bf32,22643cfc,c895006,61003ee5,3d8f739,d6fb7cea,e2f7b414,28a65ca1,bf493a3e,27a2e826)
+,S(f69ff0ca,3aa0ee7,122a00a9,4b6ef41e,13945263,96e8c590,84ab2b37,6b899cfe,a5211104,271a3020,d65ca305,c0daa6ac,cbbdb1b1,d349a2ba,1abcfad9,bf63a7d5)
+,S(64b1b59d,7415d433,7f5b9a3d,98f06d10,7e647525,b347011d,6d3b423b,2a377592,12ea2814,ac8e0bf,1da8e617,c8f051ad,5799593d,f9ffc1f8,abc963b0,faf202b9)
+,S(bac6a7ef,9a3de971,51044204,ddc3a2d3,4668613e,101a7e6a,5f93c25a,6b20dca9,7bc2b764,57620478,321de1fd,8ae8afe9,6047d087,b95390c5,bc69b972,654b97cf)
+,S(fddae798,dad79951,a4c3b803,11ced882,903c9dcb,4d4dacca,c4cadceb,b837f688,2e21e1f9,f45ded15,76829823,4892d2ca,26ad5b6d,7b0baa77,c2dfbba,b1dbca19)
+,S(3dc783eb,40779120,25b7dfe8,f493f073,b3a8520c,ef0c94b2,1c3a5388,b0a9a01a,b3fd9020,2ca16d20,fbe8cee8,fb8bcbcc,821696c1,15545aae,84c414a0,c4401bb1)
+,S(299a187d,299c61cb,6893a5d9,cc8831e3,df92ab13,da2f0048,555d1358,e55e866d,ef0b105e,52a18751,56080cc,cefde2b2,848d43ba,6d650068,2b71fb9d,d34b819c)
+,S(b690b4aa,fde43b5b,362de597,100c74d8,97cbc750,688a46b4,cb1093e2,e253dc4b,affd5af2,30e4de4f,9971627e,dac86808,c97bfa30,f051af29,bf91e36f,c3edf0f7)
+,S(7217384c,1596318c,2a98db2b,7264c909,f823de21,702f5e64,b19af937,cbb8be39,b125b7aa,1bd67232,df7d2d3a,a671bbc1,bace159f,3ba2fad5,e82a1ae3,965d5c01)
+,S(4bb4a86a,58f1248a,11f61599,f420fc69,bc77b7c6,86d2838,f4368971,67013852,29909cb1,3bce655e,88300d78,4f7984de,352c9b9a,960148e,a5b65acd,99b62d4b)
+,S(4b3a9328,2e473993,9d7722a,7de44fcd,51658eff,93c3711d,3a8f0193,9a54902f,9a012a8e,7df3b988,204fe0e0,50cc197f,a27618ca,d8d712cf,520c7be4,cf4e0f02)
+,S(5488985b,26978af,50099d93,8d7b1aa,c545b07,44938190,e0b880c2,11782b26,b51f749a,76b998c0,83dcdbe7,21d5fa0b,c4aa4392,f81821ab,3436fbf0,37d37bd7)
+,S(7f2ff4bc,f270b566,d2d26cbd,ffeb1b9b,31b2cd7,b647d89a,2c86c003,b23f644b,f48749b6,21ed28ae,47223281,fe8e633f,35580bf4,8eea29f,d6aae487,ee8e0588)
+,S(3305c475,1d63baa8,18f5bdc0,b4e46c9,acdf1c42,9ff5d177,bdfc214a,b838efbc,491d45be,85ae9675,310ae85d,258c6c9c,8e28d7fc,5239363c,911eb12d,ee68a435)
+,S(4195dd13,ae5ea569,179dc64,b07f66dd,4a2e2878,d81a222,304d6a88,4da60b86,bbdb99ff,8d4ce150,543b48ee,9109f127,5234c69e,52293758,d0171ae4,ecd49677)
+,S(8dca7466,8ffbf319,7dd9826,cfc7f450,fed841ed,83e1d466,e92470ca,1e2582e0,2b19be5f,69fae0e2,563a3f80,2f9450e0,fc48ebe5,973f542c,4c12fbea,97627e57)
+,S(e235d150,3449667e,ba23d119,9b5225db,1b26220f,60f84476,70c6bdaa,f5eb7aa9,3d4d8dd6,b0c8c2e0,c8f54f6b,dffe8dd0,5ae22d5a,b4f9dc18,f17acafb,3fab327)
+,S(aa214fc7,23c3c458,8bbfd962,b86cc3b3,e1ed52a,25524ed3,ee5c4933,1748ddf3,9b54e29f,63240e30,434f7a22,2679006c,24593e26,90254978,35a60897,d3578e18)
+,S(1c468a51,cc9d2632,860bffba,9ed83e5a,e97dc1d8,c8bc3577,5dfef223,b3ffcc73,fc569e94,8eb20528,98b4cea3,86486afa,cec0188e,44dc4e0,25b34855,f1466e87)
+,S(c663e752,ce62dec0,81f8ad57,3e4f5c92,138e6a8b,e6c9d015,d5cd2cf0,ccd1a203,ffc249a7,554fb97,c0f9d96f,4cb06fb7,ce6e868c,e7e60b30,f67a2b9e,919f6f98)
+,S(949a84d8,5f68f70,81f379e1,9d673748,bed14bb8,dba2458c,34327c03,c893067f,1b9fe41c,f474e57f,8497f6f6,76472a28,fba6b259,91297f81,474cb6fc,f31380f0)
+,S(6a4bf3ea,5798c8ed,4b35c629,c6cfdc0e,d16d0d27,39f8bcb8,c34a9105,fa35fed,6f69e357,d5123305,56d04946,f9265353,77610fee,20667815,e7f3cb01,e8196b24)
+,S(d0a99a37,d1df89c0,99b0dc1c,16f325b9,b2ec1455,21d4f80e,ad67da85,4f2a5357,7a75846d,eaf7c4e3,5c0c87f,83732eaa,7f6903f7,b721648a,87e1909b,53d3e9c)
+,S(e2a45683,f3781309,b6223a7a,5ca64c4c,cbc5d45f,29c66082,912568ca,3ec6d3c0,8e386acb,63c52ed6,5aaacecb,fab458b9,9585951e,cd0e35a6,19c0fc39,5ce1c0ab)
+,S(9527ae80,10ddd443,7237c2b3,c8f3afb9,f31e1696,5b10fedf,f150c296,3cb8e60,6e0843a,87833be4,f882c417,7198d985,5af8b144,11e78c3c,497fc49f,5f728479)
+,S(15f15c4a,2cc43062,d4360a8d,dcf8e0f,52bc4741,c7924f6d,e1dd9f12,a06b9b2,66a127e7,2c55db1b,57050f4c,a0d8abf3,9ccb455d,9785a4f3,2ee67a42,3bfe5ccd)
+,S(558648bd,64c52dd1,189912b2,67078e8b,d3c68952,47e6c848,d7dc529a,7a24a75b,12332187,62872867,5bc88378,88deadf9,3a8f2c5c,864371dc,6be0be63,44fad7ed)
+,S(1e87928a,b6e10b59,6b231b08,87a823f1,3c6b3ff3,2852d35c,d1167244,fea2db0b,4cf60a4,767783a9,1c9747c5,7abbade1,3d7fc02f,e833b474,648038c3,b68d96f5)
+,S(7a169de9,1d4c3f0,3296279,2c3ebfe7,f2eb4410,f7b9a34d,c402ae64,ce9231fb,1ca2e8be,7a7603b7,d95820ab,86487a04,c91ab3fc,c88e2f0b,514a1589,3908e463)
+,S(65185a2f,bbc8c96f,cf9a6df4,d002128,afff1f2e,5c0182a2,95639a7d,9fecaafb,10b6902e,e83c5683,3d796b99,665cf365,c1e41d63,41fe72a4,72e5ea6e,39dbb9e9)
+,S(61c45212,4664432e,8fbcd950,1dbbcd9f,1fb8842d,c8e61758,439b6d5d,bf8dd626,2a9c7c57,48509dca,ebfc5062,4d7a0b0c,21c9f5a,45733f8d,e0441bf7,f2b359c0)
+,S(f61aff9e,267b6d91,e3d4ab45,73457987,b1af9a9,38b659f4,1ad5cf57,8cc59d62,51d0b694,e5692be0,6841a3eb,160474cc,6c248213,19c9648,c32ea444,29cb2553)
+,S(29f27a51,8fd448cd,73aee0dd,7316e566,c655ca44,afc5daa3,ee359ae5,b96f8bef,d5957a97,a6447a8e,a8301219,5fd53c1b,63784a8,14c29c80,d0061fac,2c6cc1a7)
+,S(c656d66a,efc3597a,2ee977ba,bdb7357,a2485a6c,d654c56c,bc58a0ad,598f202d,f8267b3f,f293a5b5,11f4e466,dce0fa88,a37f1603,a3a8092c,934fb824,1427a59f)
+,S(f28477cb,efe654fb,ccd3a9ab,e816f950,3749e183,3b1faebd,418c85c9,112a5135,9df0f505,6ad98099,ac0dc723,34af973d,9c98c597,ee26e22f,a0a7a60a,a3b76cb7)
+,S(d007a1a8,b6f05046,a66fe0f0,9a02e510,3ca7555a,277c40a8,87a71920,5a429e79,d9a68c51,f17fd51e,b19e4946,694e90f5,2cf664ed,d2d45489,5f880400,b410b8ce)
+,S(348f74ca,7e5b1ff9,e6ccf3d9,90ff1f7a,4e3a8296,725075e0,33a85b2f,5ba0f338,1648c7f,32a206a4,e21e7309,f1a68a4b,b2ee116a,f3fab3f5,7455da93,7c4afc7a)
+,S(1f54e125,7ff3dbcb,f1b55720,564f0c72,d322b8e1,f14d2b9c,1f6244d9,c85f6f70,34c23405,4a970b58,2cbbcdce,e67cc564,6e187cd9,b3024dfc,731a212c,c53c2861)
+,S(a984f8be,33360b3f,a012cb99,65ed10e6,43a8df49,26f8188f,24719a7c,ad6b5238,79a592f9,15c925a0,98406d08,75ec4fa,90b5015c,4001addf,1cab32f7,9f06f213)
+,S(2ca5e948,76db7877,fb828609,68e39c8e,a413a057,1a39e20e,a7b98f93,f4cc4887,b1ce7c2f,8380eaff,57299cef,e840c552,53629691,7ed367a3,5c59c3b4,ae67a02d)
+,S(65bc7a84,15cdd07,5f493310,de05b7a4,ae7c874d,5b5221d4,7ee556ef,4c21a0d5,ad20620,aa39a14f,dfad58b7,9f1ad70d,2c637119,d9eb33b7,ca9abca1,f5dc3db3)
+,S(a0b6b293,a9e25a97,18fa0db1,16362757,6e39cd43,83140822,b2241fa8,c432f276,2cbd88cf,29570778,8a6d79a3,b451833d,c596fa08,8b26c6a9,962880bc,48ae2b19)
+,S(b4d308f5,74f7832f,4f402626,5ff81788,91a86724,9df74486,f241baf2,28e130a3,ca82dfe7,4c5768aa,46927fe,70c93227,cc7c30ed,c2fb6303,9a1552db,534019f9)
+,S(819b48da,f19c48c1,f6efd0b7,c4ff5996,dcd5e99e,7146bde4,1c83e333,ac891b3e,c15bcf4,c9a630f4,e1489585,e5719746,ac55210e,c9b82da3,898a0d88,4eab0459)
+,S(66528e21,adf8c447,526d616c,777dde1,fa7469ec,175facb8,3ac9ed2f,db773f85,c5d38c7,c13449ad,4f346498,1eb7abbc,a98de561,d94f46bc,edf3dd10,1839d91e)
+,S(a26e3a0b,6f61c611,28c2afc9,15ddf48b,8d3d3901,df93a2b2,aeb82579,4822e605,41f4e806,787884ec,84716647,ed72f331,126f141,6837a232,e1612ac9,99c7d115)
+,S(56623040,c198fbcb,9aa32066,90da22a5,a0496a82,5313a2fd,529fc9b,26647d22,35867158,42a4c950,e67b9033,23c55fe0,3ba3bf92,a9ecc5f8,39708869,7e2e1e98)
+,S(acb401f1,b535f181,75ba9cc5,8e32514b,be8b6d19,1401248f,20500dba,23ad4f,f57fbfc7,9bb94ec0,eac7d09e,52b699e6,d8407335,e6dda706,f7d1bfe0,71e09f6a)
+,S(9e02a873,fbbeddcf,b760d48e,6e29e6a0,b37cae8d,6348a8d5,bd651be0,59ecdb33,9f926735,cb2f46eb,71005600,56dea853,9fd6d140,2a57d05a,e884e8f1,1a293c39)
+,S(3e88f76b,ec410c46,ca20cf7,2d90c66f,476fb966,c46f20b7,facb7f50,17f71617,bbbb4d9,a453277f,a7bb83d2,eb8b2950,3fe51b0,7d4b93fd,5e993663,9b78438b)
+,S(cd39870c,a6484a9f,e6d30e47,3a6f5e8b,3ecc1702,e191b5de,3d4d6cbf,dade08e6,234240c2,8f2b2233,9369298e,f22cf32a,7663edb4,2524f02d,6879b4c9,f4ab442d)
+,S(5de275c2,69799058,3348c4cf,8c039b44,daf431d2,b7b1f862,98ae24ea,271644c9,adcf9fc3,10ce2d93,8459db47,30273255,cc483342,3f6bd4dc,56593f06,6466b8a9)
+,S(2d986200,bd9dbe51,eee40ec1,2730701c,621333db,9e71c232,1a6463e1,f26cb76b,57433deb,d9149b32,37315114,e9747758,228d17be,5f7c54d4,f552e730,1e094329)
+,S(654868b7,39d6a72e,75223cac,d0f827d1,789c410c,fe0d5ab7,24cdbc2a,c9bcb269,3d8d4270,63cfe,6724f8d4,77ddbd10,b24899a,3ab0a33d,87683646,9f4806ba)
+,S(d97cf5c8,e1a40197,75312099,fb1a2d62,2b3354d0,e524cbe7,bbd3187,506f909d,53c8784c,cfc900a2,f159e98b,76481239,3d883d70,8a953905,44691b5,1c8c97d4)
+,S(697707cc,9c74c828,7396d53b,9e5d436b,24b861d0,2fcd9208,dcdcfb54,8ad2d903,bd203dfe,7f4a3484,1f5ec966,f063d251,a89b7da5,468bb2f7,32775a1f,3a62412f)
+,S(36b4329f,fbbbd80b,e8eecd1,358c05f3,6616b456,588571da,c23d7752,edf15d65,7c42145,d8774827,a0cbe9e,b9ca7b90,2353c6f6,118291ad,950dfee6,124fef3f)
+,S(dad2b02d,a182ef28,5b00b0e3,2af77064,ca6b3c1,41766194,7fae0663,4861e144,ece34dc3,704d0561,f6029366,aa45f192,a2b55b1a,1786e8a2,d84b2361,eb2c2af1)
+,S(4cdf386a,c0e7cbc6,e19c5f85,1edb009a,59b0526,f3f4d0ca,3c82f280,dd33531,3f8b3eda,4ae484e0,95916efb,ecf1ed3a,27bcb034,6cbae87c,6a388488,331ddc86)
+,S(d4b65a7a,eb74d38f,2a8e9383,2ad27a7,2e2a89f2,2ccb5c24,9e4e55d4,da7a0cf1,a080a32c,ac9e0ee2,6e6538a0,233f2374,3428b2ad,821852fa,bbad2a23,63a7d7e3)
+,S(c41cd230,d99c5f66,7d7ea000,53945fed,70a2a807,4893d488,5be2ee46,cadff9bf,4a7faa2,3ea4ab42,5f21e12d,dea7530d,429c64fb,c05e1b24,adc24f55,c34af43)
+,S(4c67ce59,9a841ecf,ec147a89,c120619a,227100ab,c5dd0ba8,da6d362,6f687824,aec0ecc4,b65694f,150da4f8,fd514d37,52f4c6d1,aebd8b5c,19846ea3,bf4b13b2)
+,S(e765b00d,a067b5cf,a40bf02,dc8ed6bd,4e59b470,ed6eebad,c02b49eb,1d20c37,23e0df00,9ca95773,a91c0805,40b024b8,34c0d7de,4dfd6c43,76c979fd,2665f21d)
+,S(18a8cbe4,d7585fe2,3b958cab,a9303d9,505928a5,7ca1058,21a9f192,ea52298c,9d00506,4a1f3406,c3864d73,2ebf3e1d,b6f20234,d0f5a99c,3623ed9d,530d71cc)
+,S(2dc043ea,a53c27b6,50e2f1c,b6fb7fd8,26c4fccb,9572bbf5,103356bf,87b3d649,2695f192,af96b031,a41b72e7,a61593cc,30672c07,cedb0908,35ee207a,5cf18271)
+,S(71699cbd,e1efa1f2,914bd0ac,9b28111,8053f7ec,d51e79c0,44daa4ac,ded9c9e9,8519592f,a3b05922,86797110,b222231c,fef973bc,d51ea4c4,34998999,63637c05)
+,S(23f4668e,40761e37,235dc0cd,41b6c7ff,1951678f,131763b8,7d394e12,6be4c370,1cce4181,2279761d,8753dfaf,8bdd206c,e4cbfc5f,ccfa8826,9d2d4327,431fa689)
+,S(92366959,9a173d3e,826233c7,8062863c,2a92b525,106c1159,4885058e,4a7797a6,d1c9f57c,d03c0042,38f898bd,cb45c064,a1f2cc56,222bbc03,a61997fc,877b23d4)
+,S(a2dd03bb,a75a7bb2,fc9915df,c66c0b22,76a7347e,6cca3d32,e5727cb8,b54bfb70,9ba4266d,b9c66907,b25c41bd,b96f8a94,a9559830,f171a878,66372067,51c7126e)
+,S(79174d3e,2379484a,d3191db7,26073dff,d69a31c8,94314f7b,282ed68e,71395ad7,1cada148,7ded181b,f1a9cd30,21afb04f,4402a171,3a570d7e,9f4928c1,2069315)
+,S(874597e3,80449235,af5c10e3,7af7eeb8,f755ebe0,6784d5e3,ba0d1021,fcd3b12c,2ebbde83,58c4f2ed,cc89bd52,e6cd61df,a251bcf5,713858d3,d247750e,266a6129)
+,S(f23c1888,c22a764,c85c6328,387e9126,f4ad772c,fa0a6034,914d5f60,7efcddc1,6cd5bdba,cb3c6cd7,4c2c5cf8,1c62e774,560211ac,f1ee8096,be9eee5e,b716881e)
+,S(a4c2054c,3a834498,6dcca592,db5fbe06,7f80d32f,8c492436,79c57b76,ae13b96,7ca515b7,8a3d5590,6100ecda,f7066459,db9db34,3bec1b4c,6a57626e,1f560444)
+,S(d6880dbf,50d3faa9,835404e5,d723eec8,b1bae88e,b8ca22bb,a85fda5b,6a8cb669,a08c4200,718edd4e,42b775b1,1beb9a6f,eb3bb93,b54c57af,5218eeb9,7aa9fa09)
+,S(2dfcf2b0,babd3990,c305cdbf,cae7795b,a2fb3cb6,3ea0cd17,787122ab,5af86bb8,e0e921a,15882601,c151fd93,d7b7c607,cf033633,e6498004,d29cbf76,7fb19f6d)
+,S(d1dc82f9,aae7e02e,177680f1,e5d73ae,8a178207,7b5ebddf,45b56bac,fa1f11b1,4c9294c,e3ad0fa0,ceefde5f,fd80905f,ce57a5c7,c6807da4,186c9b4a,7c9d6237)
+,S(ff111200,4231109b,d131e7e0,f6434461,ff699d8c,6be3e6bb,7eb9e827,9af4a4b3,2c30b8db,bbe56de5,3d8b3307,9dd741ca,8c7aa596,78a3c75b,a781a77a,e470620e)
+,S(9fc4e1ac,28a8f268,c66aec12,f5e795d,f3dc23d5,c515c5ec,11c394c5,e6f2a11b,188bc037,ab114fd6,508627db,12317d0d,fa194cd1,bfd56c1a,4ba25d07,206aaaa9)
+,S(bdb0b373,5bcad639,386579e2,aa78fc40,ec2f4700,4b3174b0,1bc2cfdf,f4164f95,45d65b9f,eb1f60f3,29195060,78d5c016,8c6b1820,6afcab34,a2623e1,d2bc70a9)
+,S(1386e11f,3950b8d9,e87589da,c3dc9a47,bf36b0c7,8378d2fb,253e5bdf,9f704465,415f50f4,f048413c,7eec4c2d,122a4f7d,f4908265,31f9dec2,313bc7b,b1b2402e)
+,S(be246169,75b321a2,edd491be,90b7a11d,75a36c12,ca782d20,732a285c,5a6a1572,ca9109cd,5b041864,5026977,9490edc9,d239778c,25609736,7b52d82d,97f588cc)
+,S(baa5965a,c352a017,80b1359,3945030b,32c83b60,805bff01,476ece26,cf89384,c83a9515,dee6663b,b5688d5b,483f0a2e,51c8180e,a130e0ea,48f7a4f0,1d3d06e6)
+,S(17dfb33b,957bd5d3,36c918f2,cd1fdc95,23e2980f,20a7666d,bd5e8a7f,8ab1f83e,32ffdb3,db6dfa31,ca67a5b0,27a648be,b978b6cb,7ace4241,a0b6a7d8,ceedda20)
+,S(ec5dce25,af07a01d,9dc43a9,e92dfb51,29146307,cef69b48,cb7b6e85,d9cbd91f,1018c449,949bb2cc,e185a9,4a9a06b6,bca4c8b0,1a3079b5,3f86d830,21d46de)
+,S(a56b5b4e,d4e4e3a6,29701889,2cf21f67,868ebf37,b8696ebc,83afd980,b5c63817,1cea139e,521c70e3,f0a4b02c,c20345df,90a579b1,20ea5dce,bc1385bd,162adfd7)
+,S(2ff27783,681d264b,540df574,b478e3a6,2b919e0a,c4ab1b66,3e279083,25a707b7,3a477dcf,65b233e1,34ddae74,7fa5971c,cc0498e7,be9f17cd,5e34bb0b,480d360)
+,S(aea30054,dcc9f7eb,c9dbbd45,cbcea779,49780d59,11edcc19,937e6352,a726b3c0,7ba5e2d8,9f681e00,bb74a353,f37c36c0,7264acc,d6a31529,cd5275ee,94a631fc)
+,S(78531772,142432df,81802ec2,84884682,5ae2bc93,aed1fa8b,e345c106,7e23d059,6b8d514c,a0a13c1c,6425e5ad,f808aeff,f88fc6be,dbdfc788,1d174868,efd21063)
+,S(c104c683,8448cda2,c94b0303,7b5ddcca,d4db1d7e,e744e70f,5f9275b3,244b8405,ac9e6545,3722e2c9,d7d97aa,767c3235,2a213391,aa2e327d,3884ecd,93f4b133)
+,S(d4b02b47,3f851a30,604356c0,e9310d4d,7bd0f9a1,17db0c90,54862b58,969887c5,d451896a,5eba571d,4e55d26,9c3c8082,55c5cf18,f1f2d033,b8d30788,224a68f2)
+,S(93d2f6a3,e97e4aa4,10fb6006,f3853f85,65bd14d,aec87192,e61b8f97,93f29b32,a0a840bd,336034f1,a98a0239,c6ab3ecb,eadd69c2,51b2e03c,339dd4bd,7a407308)
+,S(7d7d7357,467e23a1,2022788b,2ada9a69,1243fbae,486cc61b,56458e2e,781f8f3b,59d5566d,97bb583b,940de406,44e19530,b1bc7ced,2a00c50,f4bbef30,d899e7e6)
+,S(ea80f7b5,8c72080f,f2d83604,ccf6e4d3,28a71914,abf94888,8dc87c42,15fd4a6b,ecc6e626,f01f73b2,5d7e92e0,d1220b82,8f2f8ef3,3cc92111,3d15bfab,179ad8ef)
+,S(c74366e7,26949fa0,6913e6ab,c41cb17e,c3837659,253c3038,30d543f6,ac0e4aa6,671ed272,2626ab33,14b6b1d8,1cda24d2,9fc132f9,51f97b95,8e72bc0b,9eb42d3)
+,S(6170ed4d,c3dc2218,2b45c1c6,fcee9fc1,3897ac17,fc32fb25,aaf2880f,4cbd11bd,cb40f34e,7e8faa89,71338834,21cb247a,4c938f3e,f6a97cd3,1711f803,c872621)
+,S(7dacf9ad,5775fa62,f99e093,5e948526,b94ef22e,912ae95d,8dd4e5ba,744a2ebd,69931690,6c73045,d8530a39,d33a8e21,d5912969,9f7b721c,1dd0c616,725d5778)
+,S(b1d113f2,ad7b487,908767a0,b6faa413,6a8b3dad,41dad9d2,b6e8e7c,9f294639,7c802cbf,4596903a,90b1de93,649bff3a,6f63ab85,a9e3529a,7d907b41,7f973b61)
+,S(d09d8d8a,17a1b113,aaafc270,db36ed63,4342d90c,64b6ae97,9733391d,eb67f3a4,c48701eb,738c3edc,a4f78313,a56660f5,3da8ebaa,3cd8d469,d1dd5910,c618851f)
+,S(c264ffb3,c223e60f,fa34faf9,feb18668,4b05b7e0,6770db1f,9561ed5a,ea0bfef7,e4df501e,ebb4cdce,bbe6c4cc,b966de77,18ac5479,3e403e79,389ac330,92928e6e)
+,S(55505edd,605e4299,afb5a69d,81f6df34,c7c2133e,dbc7bb10,ebc49187,857d7c49,ddc19610,7c3bee6d,ad955e1f,76afb31e,93a88e4b,de8aee59,aba50864,c295a487)
+,S(9d61801b,a07c358c,f9942bd,d3614d3f,74904b8f,8f8aa8e6,a957eadf,79fe99ef,7d9d5980,2fb5dacd,93ec6c6a,92ef86bb,6079076f,7d964d31,70e3ad3b,7bb854a5)
+,S(f1a6cc66,3dbf46da,e1ca98af,610f09e5,e9251a44,f6b9915c,b68c58f7,9038645d,e41bc6cd,747c0390,6d29e29c,4cbc2dec,6817114e,daedf220,b7fce48e,7e6f42ee)
+,S(df247558,50b523d6,de15c3ec,38537a3c,af9a90fa,2c0e8b25,35696289,10517a79,bb567ba,e42e9899,85fc478a,4303188c,2da741fe,bbd1742c,818ec1c,e64818a5)
+,S(4dc30b60,b174bb78,1f339277,ce3996f7,fe102e13,d80873b1,1a9e6b4d,54247cef,b13e5069,a7344a99,4f9cd284,1d9291a6,50e1d969,dd3061dd,ef34f037,7c85e20f)
+,S(e77aac3e,946f7715,b9d0999b,1f3aadfe,de9c31dc,f8eab336,c5bcaa51,f16f64a,9d78c14d,90cb37a3,835d23,fd8d5a37,2b8fa160,1274e5f0,2bae50f1,587a11bd)
+,S(24f29bd3,51e62864,3a7d2fa,6c47ab78,a6d0c6f2,c73bdf00,864e8bd0,c3f038d7,4a34c7f0,22e43220,f6d30d59,3d3ccb54,dbbcc50b,4b845712,e72636da,d0cecff3)
+,S(ad4b9b47,b9cac9f8,a5f3728c,ec610000,163ac2ec,6a18cc34,b630134d,9fcc9364,afc8726e,e0f988f0,53247177,1efb25ae,e07b70ba,ec7c425c,50e3eae,2898c077)
+,S(1d38128d,ce7ede1b,265a4f8c,4e6b911c,d0e28087,87244a60,dd9f646e,2932e509,857a6c8,e4f43cfe,129e11bb,462101d7,9c76e99e,c7b4aed4,efc029be,b1b9c1c5)
+,S(c171b7a2,7badcf84,c3c61afd,7568d23,5a14f0f4,fec777b,4a91c92c,61358677,cde264a0,48d2cd4c,d53d7371,8546802f,1ab67815,d6ebb3cf,b6415f4d,5cf4057e)
+,S(d50f20d6,f4781aeb,eeca2a8e,85e8b75c,187c6d34,a940266,daa16876,96acef4d,9aa99671,35a1dae1,af29ed05,9fa15eb2,a4aaca27,99d98c64,5ae0ed03,7f08f37a)
+,S(6b83cb07,7bfd33d,181fc835,63eabdd3,a50be6d4,abb64a16,e338f18c,c098a977,3e04e660,cfe61fd8,1ec67b2,d20ca9fb,f9c6e038,71f7c838,b261ade0,51b564e9)
+,S(2e75abad,dc0501f3,afa90484,e85972b2,679d1d04,62d6d206,42c73830,15213b19,4754077d,a6868edb,a0943397,3c60a581,88a55ced,dee38351,93ce045a,e93517de)
+,S(8a322085,d749f63a,38dcfbba,624d0c87,b9bcb66c,e4e3d84a,e97f7781,a0e9a164,3b592b8f,9d8cc10b,58fbdc7e,982e3fa6,7aa67c90,e9ca884a,e1f57291,6d7e2076)
+,S(b890b7f9,ba1f1945,2a7bf1bf,944f9949,36bb4ad,5e2e0fb8,15ddc1e,2f30d72b,c1b652c4,f8e9d91c,8a92f76e,f6f72ed3,3357b35a,5ac00d63,a039df78,eb778a46)
+,S(cdf33d41,c54c8a0e,dd3a0b1a,12290d13,715de82b,21af5306,a1197444,acfdd5c9,2d7b78f,31d08fc8,afdb3940,ef1afaf7,3bf37029,1e1be3c9,5acdc673,ee2150d)
+,S(20b24e10,c0f85631,fb891ae5,c0b0b36e,5a3829df,a5018c1d,8b59fe87,b051b55d,b5b9204,67394039,df0a34f1,308b086a,454c7957,40d31fd8,960f6ab8,33998c41)
+,S(61976c23,257b9adc,48147038,ff5ace08,39d88274,9810bc9,25590555,b0e1c709,2b31a4c2,a712edd6,6b2da3f,84447c73,f2e3f652,d22b81d,d37ac4a9,def5390f)
+,S(4ff22758,a2a25681,d28fbf09,e4cea5f4,74c00681,d9b4fe6d,ef3227e3,6092b52e,4b0f517a,4e56697b,37341ab0,6fbc92e2,4ae3d03d,392c33d2,377f7432,10a89fdc)
+,S(46145b19,639938dd,9c6c84eb,d4180cf9,752cf9fe,a77ca609,5ffc8f7e,ead61f35,5b7b55dd,8a5e7d00,a3b62d20,2f371d42,8eeacc9e,7556547d,f2396c85,9503f6f8)
+,S(32464689,a5d7626c,fd02b5fc,da68a8f8,dec32eba,887b523c,4b4e379b,c40bee7,6e9cb8c5,3fb716c0,b583b356,7ba6890d,2cdccd39,646a49c8,132ef061,d89f6710)
+,S(56438894,2c9aa575,efbaec77,cbecd9fe,79fb4461,c61ac051,195ae384,dc0d6ddb,663528a4,29696073,f9d47d2c,bb2c256,9bf6c452,c171ca43,7cd3480f,95b69a05)
+,S(f04fa37b,9c510bea,ec12fd4a,307b1b0e,d934fa1c,78cbfbe3,bf904b00,91491e4e,19b7da4d,826a314f,586c4c78,457a3075,76f3ada4,61af5bb6,c374178c,23a79326)
+,S(36fe4596,b1ca6409,741f7a0c,b899f89f,a727207e,eedc8e57,504847d,2cb304cd,78f11f,4473b124,5772a101,564b6468,43d4bf76,afacf02c,bc45ab39,c7221e19)
+,S(ce3e6d1b,f2deae03,8ea4333b,ebfa026,d1954ffd,f50df66,e2899b05,1ee87b0d,4cd4635f,10af69c7,50e96ede,e4f38591,2a14b104,ed9023af,60ac6e93,a9b9bcb0)
+,S(33ad3a7f,a6008875,74bd735c,b2ec5dff,10ffc5dc,3163d8d1,62644086,888d29,8c959ba3,2f7b8ed0,4cb2bf2f,2b5e5f56,b29a851c,8d1f6bff,b48fab31,5335b3e0)
+,S(7101a2b2,36aa7903,6348006e,cb8f81f6,b481ed8d,8a3081aa,40ed475f,13fde43d,d0a93654,51471aca,80a05745,57b4a24,9d627dd5,c1428ed5,79feac02,5fd2cd2e)
+,S(ba3b4042,9c0bb526,c31cf602,3f9abe17,69974344,5e66566c,851501a5,d125471f,7db3e93b,e9944c42,b1654407,6d5bc6a0,99806c67,6cc7415a,9d110661,f4c644e6)
+,S(57c6a582,1da61528,dc291aec,3a9f1a86,229594a2,27767583,5687ee91,15acd72,a9e4750b,5580b225,7768ce7a,b2909466,589a1a12,2e54a7af,35f44de,44cd5dce)
+,S(c8353ee5,847efb7a,ec03d949,633132b3,9ad898e8,9a367c77,7b4a2ece,c47a7c10,dfce02ff,71060be,5e12d377,524c798e,97bafd6,e9aa9e10,27c07a8d,6f7d3a55)
+,S(b0f6ef67,78b4ee99,6d7807ca,9f1f6f44,203eed8e,62584c6d,666e3698,e41c0eb1,b92763af,c9ea095,f757e921,ac0bdb02,605eb66e,d3e1735f,f8f17e63,dee5460e)
+,S(f2e4015e,62645bd4,6f858b25,cb636f97,6ccfe5f8,da065b65,1ec170c,ecf5c411,8c05cf9b,19459597,7c1d1b6,4ff6e902,5d78a175,6416e0a,ebf33c21,7b3d5dda)
+,S(ffcde722,ad4a2223,24396b52,5a95a233,31dab41d,95a4e19c,1a23c2e3,db7460f9,f7282903,525ac2ed,3f9db21a,92d3fe4e,b1635a8c,77dcbf8b,e671146c,8eca8115)
+,S(81dc05b5,2d9a210c,4904bbde,cfb4eacd,8b3f08f1,d667e9f0,a27345a9,7d37b37a,747aad1d,bd0003a6,d89f9d9c,fc00977,719d24a5,b8ebb807,98d1b644,87105f5e)
+,S(5b92318d,a267772d,94656087,8d698aaa,7d2c721b,28dfbc20,9e4a3e8d,1b0eef1c,b2d274ec,7aade417,4f2f8766,1b5018bb,47c83d32,b2fed50c,437348a7,93041906)
+,S(3eabd0fd,6b5bc51b,c187c943,511c3005,8f86e474,8547fcd6,49595070,26fb805c,95e8bbe,8187398f,fa4ea4cb,b50bae2,19f8cc5a,5f09503b,3edd115f,729b2101)
+,S(a64d3807,f92b91e0,717c310,ec799908,43e3a394,a5ece3c8,7c3bb209,8d3123ae,50fbacf8,be11f6b0,ea0e36b3,5c46bdb0,8fb79064,59b52901,9af59b1c,e80ad239)
+,S(db9ce153,7cd47f3f,4b08858a,d429c975,9ce6738c,2e6d56f0,fca12e70,777b83a1,a91b2016,9fb1e2f,fd52192d,7030d86f,66358516,5ba32829,6c9aac95,192afbf6)
+,S(bea03f49,76ee0a86,e00bfddc,79e52173,1baef841,d751ee47,9a46cfe7,89de2399,feec1fb0,3901a923,862054e6,7024ba7f,4c485c70,2ff22aa4,1620e857,6dcc863)
+,S(cda308eb,6975d59,db439e23,32505d29,4ebdca67,5373ed79,25b52a6e,f60a33c9,7d2053c5,414c9bcc,5155f17a,6fc206d8,81cc882,54341778,1c5db51f,3ce4c224)
+,S(430bfb3a,802988b3,a68d5595,c989cbe,75d409d2,68dd84b9,a1d4a5b9,42360174,3de4c6e1,3c87338c,8bef6195,6559335e,bec503fa,2025529b,b015cac6,6d8060fc)
+,S(b4b1b7c9,932be243,6b06b2c1,e5de312e,4a409498,11a226d8,5bb30c5e,1487c36d,e169a70c,b95988dd,fe1a98df,527fc172,61cc3103,88d41ed3,4bff23bb,31da4dc0)
+,S(7a954055,d2d6acda,8dbe81e7,46310113,e26af09b,91cd59dc,92a479c6,d6079ef4,83c6d3ff,4582eea7,becaf8bd,422c0558,a2bc8d6f,cb615c59,7c46982,47cabcb3)
+,S(aedd36fa,91a7f95f,2b2f32c9,1be77860,75783bcf,8fcb20b5,f20ca664,dd89474b,c747f32a,174ec6a7,936f13a4,7e80a2e9,324b7f5,e163b396,218c4c35,9391e565)
+,S(41052d48,54402d09,a813492a,2f9362ee,9799ffa,3d270200,45a0ae07,9f913f60,97cbdcf9,b60518c9,74ddd987,386d60d1,3d10defc,8fe64511,843d5bf7,13774178)
+,S(886e5afb,69f6debc,c1c5be6f,b636eea8,7314ff1f,975cd96,9070e376,c1a9973c,6a8ec4b7,98fec5e,b4a8d645,c7b72663,d6bf4aff,8f4f4b36,c064bf3b,f6e7b5ef)
+,S(c93adec2,ddf85ba8,d9147c91,82ee4fbb,5727081e,a6938c0,a4bcfbfe,6856dee8,9ebef5d,2b2253e9,4474331d,b52739c1,71214093,aeab11e4,e51a2be4,e201dfb1)
+,S(d97166fa,94a4e51b,ad21e1d9,76e01011,655ce24f,5f5afdb8,feda67bf,8ae65a83,815ac894,57f83bf9,5579fed2,ea470ad2,ac1c83f8,546ef3f8,bc383701,1bc62a48)
+,S(c23cf94f,c5a93aa1,719ea8d4,4f426fd3,d48220cc,10ea558e,e4680c1a,dc91b18a,64a4dd89,8f36efa6,efce9354,fa30f506,be3766f3,a31839e,1fba56b,5a07ebd3)
+,S(7236b1df,88751e98,2689e049,c5084b71,b8d7979c,2c412a3c,995e61c7,2440929a,67155955,bf5d1916,9e36636e,ba56fe44,f7cef6d1,b0afd3c2,beb59b26,5e3b67a6)
+,S(d1890a85,df4f7933,ff72fad6,5b95f5c,c9fd8683,3c1bd2fd,56a3b7c3,e90428d,8b4896ad,4b4469d8,af074eba,ac38563a,ca68888c,5411ce0e,b3701ced,75d4f87e)
+,S(41ae85b1,9fcaf4a6,13901d2,3cd2376,62f299c9,7cb306ee,8ffc13fc,75d54e15,20d99cc3,215f0b1c,20922ffc,6e111b53,e88ffb39,bb6e118c,61b9e3ee,fa7d01f1)
+,S(d125489c,4e07c44f,35d39008,e4e29c43,c28ca505,3e370570,a7bd34c7,57e673f5,d142e19e,825ff93e,b6661160,b60d4e06,b4393388,43500b29,2d4d62a9,28db2bd2)
+,S(8c50b3d3,667b2aa1,a60c425d,1128d389,f2786b3d,656ee126,dd57af96,ebaad9e4,55eb7ca1,c2bb5881,7f82cfc,c8b5ca35,5c2aec5c,68dd479d,948261ee,d342fce1)
+,S(3e77a3c8,a2e995b7,582f502f,9bb1230b,35311af4,dc8d0744,9211a13b,444fd42,99c427f5,8365ca18,75272508,7dc57985,d59d72ed,aedfd5f9,d61517c6,1fb8679d)
+,S(73ffde64,80547448,658ae5a8,529755d7,2ad7ec84,5711f0b3,20acc53e,a15ab609,786de118,c6a0daee,48f3f585,d10b9f2c,b4947661,b844ed51,59903ce5,f2cc8d18)
+,S(8f2ec78b,47c61a39,c2ed1110,902b3a43,4fc9ddfc,b11b1ed,75c675be,5b8a172c,441686b5,c1327f0f,d2bee35c,5d8f2aef,b6da72ac,e6206982,6d6812a0,5b937346)
+,S(c36c0376,d360f87d,28069511,7eddf1fc,75ae7118,5fd5a82b,b47d8fcf,519ae4d4,44c31c56,cda1c2d4,41161ab7,45f3c0,25c4ada3,72396658,cca23f93,bdb6a303)
+,S(1ff06490,3cc7e686,d408909,4812a7d8,531c4188,ab8aaf4f,f10bcc5a,9cac352c,87af78d5,3122ad89,9a6a1297,fcc87c1f,252bbf9c,d8cfbf57,f64cb6ad,fe77f3a8)
+,S(1265a4c0,6e1f1a6,126a9e37,a6e4f90b,290fe449,49b82bca,8ea73759,451e0b25,4f0f7a6c,9bc7f00c,42b90d95,95871176,d723941e,38335581,8f7aacdd,f830d15d)
+,S(2595358e,4d45d362,5fa1c89d,a3249cc5,a26ec3d1,e554a863,51b79fc3,4eeea90c,d9b8d147,e4e00450,1baeeb5a,8440235a,88913063,bb1ffa78,9402c3f7,2c603899)
+,S(3f432621,7a5f415c,b028f338,40fc226e,5906a09b,d054eb55,45609fee,90135082,a572303a,131fb0f9,c63d88e6,3520ef2e,77bcfea5,1031fa60,fada909,a610c830)
+,S(9ee85c9b,4cb0102a,6b21c517,947d798c,c26dd853,7bb5d6c0,46a50144,f3297f45,85b798ab,c2e4fcdd,bf3e17b0,49e2a495,6239ba16,9917ed08,ebe109e0,4ac8016d)
+,S(479c2ec0,28e8c83f,d7946f43,8d802ed3,d728179,55d94c55,bdef5050,67774934,c262229e,23eacd99,f9d3fb37,b7b9040,47cdd5a6,6872f4ac,800dbb3,d87fc3fd)
+,S(2a52f4d,821cf4ae,758ed477,6cdc3bc9,2d3924fd,97a12f1f,4dd5a646,24766b4b,28500754,6ca8f142,6f3a4a6f,6ccf8437,37c6a917,7ab59b92,728f588,f11509aa)
+,S(d89159a6,d5447ab1,bd03d44a,a8db3410,c86305b4,4f06b25,b88c4244,5ab1e929,c539ee3a,e7dec645,810c4a02,e1777977,d98ddba2,281d5701,2ed2a4c5,85057013)
+,S(c91267af,4c303e07,ad82c1e6,2ddd45d7,cfae00a8,d27a34f1,eea8d15c,1add920,975967db,347415ae,24b427a1,b8f7229f,8db0758a,7ea13f7c,582c260,c0711b85)
+,S(c860be31,18ce92b0,39b27a50,960d3caf,88e24bae,6e45fd8c,5a253a78,e3d0e6cb,15b8374,922f44f3,adaa213d,5e3facdc,9de1ff6,4da677d3,d89f6e0a,a800413f)
+,S(eb8b5f4,2fa90313,b3dd7d4b,d47338e2,9861e52c,b492e9dd,6a1897ec,4da14c14,9d1c4d0d,56c570b,8835e188,517fe7db,490aa6b2,bfbe1564,579e7af9,c0647bf)
+,S(151e39fd,d5961da7,44ac5871,94081a88,666d3dda,6507404b,607d449f,1b3c005f,476bca6d,6bfc5e2b,2c183794,563d35ac,aa8d38bd,ec3846b0,22831bda,38fa28fe)
+,S(b46d2d52,b764f922,7ead0399,c391a9db,1737c9ab,35394951,5a57c76c,c3c05c59,8aeb78db,db1e52bb,a8030a3f,b9f57f6,644332be,6d0ad41c,34b7fbd3,13c6eccf)
+,S(a89e77d,30c66dba,a27a2dfd,5af0684f,f6ccc84e,49b8d98,f402a88b,20e5bf7,af45b2da,cffcc49d,4f6db574,29f13971,c74f5321,4dd4af49,2bc7ae5f,10abe1ec)
+,S(8d774c5b,eaa0cc57,7479873f,9bf5ff6c,808afa4c,6fa6f2be,88b53841,4cd088c5,6b9461a6,600ae1ac,4e617149,73fa8b48,74dd7cc,9f331eb6,e15bfcc3,2e26eb63)
+,S(34ecc029,105f5e19,d6c2471e,eae5b671,cd55f2c1,bfba7dc8,46787c92,ba7de2a3,13e3cd9a,db98a6b2,433dba08,ec7d40c9,c2467878,f6f4bcd0,ce60397,67aca327)
+,S(41b10298,6889f83e,e89d4f8,fa50898b,c9bbf650,2d153c36,85064c9b,f3dc3c43,559f5bf4,fb827bc,dd068d3,cdb14d6c,ace08a47,c30e3fc7,8972ceb8,9f88c21f)
+,S(4a77505,79ae33e4,55228533,b8856da2,b14f70a8,d13ac2f4,f6bdc5eb,4f5c9aba,d365922e,3a487635,3ee1b02b,511c7926,e5c5edfd,aac153e2,686ce4df,b623ed2f)
+,S(173af9bc,efacadf6,c107748f,278adc1b,d42174e6,8fe06d9d,f84fe278,70eda280,7b120d62,2463b94a,57303cfb,2c477f95,49d41a66,d6ee7c2a,4c652284,b8535faa)
+,S(f0fa5cfd,ba53a5ba,df707983,134c3459,5ba232b5,7fb67a94,5c5c0f25,a0539be9,ccbc91a9,c0a2efd2,3bffec87,cadd16dd,f4292aef,a59b3d31,6e9c7082,742edb6d)
+,S(a5df803f,751c4846,10799c60,db405439,9b1d5bfc,c99fb316,fe884468,e57ab77b,27f8f706,a2f08ff3,249f8b62,ac0d59b6,31fe52fa,7ab08ad5,2d09ff2c,4138dcd4)
+,S(d165fa7e,d61c251e,a93e8f16,c9291b09,1f258720,fd303a3d,c573131b,d98628cb,cc0dee9,f01f0dce,aba94461,1e48f9c5,282a7480,eded0794,81d0b8c,a9819a73)
+,S(87703371,46a8694e,2bb5cb10,76ffcd94,309c9c8c,be6e8cf6,5a77f4ca,4d31efb1,ee64af6a,5569a205,2cd98c10,871b2ba0,6addae3b,3cec463f,6002d86f,b16e5e9)
+,S(1c7e4ec7,c090906,3d98f786,dc22db53,da4d258d,6e75cbae,30d4b99e,f4ca47d4,d2001df7,3297e6ec,c0aec17,e72cfa6f,5951e2bc,f03e4aa5,5f329c77,47cd92d8)
+,S(d485ec0a,1a0abc6a,69f308d4,c7f8b8bd,fff5ac6f,ad4ae4ee,271a87ce,973b58fb,68f51764,ee705265,3e2f7d7b,7415847c,3856e3e,1a7f4932,6fbfc9c6,5976cd48)
+,S(ae5ab510,48215ea2,3be55d93,4e0dce0b,ff88f09d,10c8953e,390b79f2,da26e43f,9f80d71,36a5da61,7f90d0c8,a6d9aecc,5cf88abf,6bbc2181,5f8320a7,2fa8929f)
+,S(cb879f42,4613487c,24aa73a7,36f211ea,96541877,33fd7091,40a824ae,7641a708,d46a4ad5,7f607301,f61648b6,e99891d9,ccc41af1,af29a66b,b894575a,a6b3d5a2)
+,S(1e8d6ac8,ec0b543d,1e0aea66,7f35b556,87e30be0,72841fc9,3f599c81,4a750d7e,8965853e,6519ae5d,c523cb52,720b004f,ad2f03e7,aa3e0413,bc68efcc,c0617f85)
+,S(dd8e5b0f,be63df6f,5c20e447,778f923,2e1b2c22,4d28cfda,b2c672c6,66d05f8c,d8b75f77,f955219b,d4d95e65,35d5cb0d,23c2a1d1,671b9416,2da9c4c9,b2d4a94a)
+,S(78ac44e9,938bf51a,691132e,93ec3a42,22be3185,35209054,a76b87c6,645e0252,c0f66cf0,3c20dd,d136d1f1,cc00eb17,efdf2a4e,72d373a3,99c20da8,8342299d)
+,S(d53110b9,5034e916,d904cd15,1170761d,4f3492ad,9e257265,3ef37739,df9bb035,c091177d,796d199e,5c05abeb,29d0df1e,e5ceb93,d272e6d,d254b6d9,a6dd35d8)
+,S(868b2732,3debb9aa,60942498,3be71d0b,451ea44b,64c22225,2af3d63c,3eb512b,8951dd34,39774c8d,89cf4b4c,485889e3,df2503a,102ae568,c63fa74d,23ee659f)
+,S(672de7f2,34e96153,d83da7fe,3e199099,52ee988d,961620ac,b8c6b4c3,520fc50d,ab02a8b5,2a2d9306,8a83a0dd,23ff882f,b1052f22,72a0ad11,cea13c63,4efa33a2)
+,S(4887f473,af8189d9,c46ae22f,c86ba6e0,f03c81a1,490de032,72b07937,b63a7527,a2e7a713,e1e6691a,ce09dc0f,a86c92b0,a0097899,7fbf26d3,98581731,a577a21d)
+,S(f97ddd77,38bb419d,ec051fcf,a93753ff,e3dfa122,6cf02e1f,23afb376,7a121440,2fa9c241,f747fcda,dd09139,437eafc8,94e7a47c,ec8a7ffa,1e054ce9,21d73243)
+,S(ebe75f9b,2c92af9f,11eefb04,3456f6ef,f616d1ec,b616a9e9,9e7f8960,4f1d62fe,40b5cf37,b06cfb0f,294da3c0,f756c867,af06449f,e2a916c8,a327117e,9a47f74b)
+,S(10d376b1,1f0138b3,238deefa,b57dc84,7ef66849,14e9f120,1a9619c6,b1715a13,a216f393,1f398b67,d68a2888,1d5a31f6,e5e0da82,e2b5060,4c6f6322,9cd21748)
+,S(69e26679,f103a1f9,8a9a4d88,c973874e,db7c82ca,99e48554,37284445,b55517b,cab62aa5,13b41a9c,56ea455b,6a880b95,9d400bba,74e7a203,7b60ccb0,4a89b8c8)
+,S(3acf827d,81e39933,64e99fa5,63f89305,dcc60b62,44ecc0a6,b101c6f6,ecd5bdab,77e3bd28,40a99c45,30ab7767,4d8ed17f,f57a4f1a,4ab91732,7059114c,c06fadbf)
+,S(2e5125bf,9e263d80,7a220063,434f928,d9a4907f,68601eb9,829041e1,a7b89bc4,9810022a,d7d3c333,d7c022d9,d0779b9b,5807226c,9fd41e65,c3fc8e1a,a7a0b51f)
+,S(7b68da4a,197f6bdf,56948023,d2baf10c,9449d6b0,b18addc,49385125,e62506bf,85a92b7a,190aec87,bdcb9df8,42e93917,9254ae6f,b45e6764,32e410ef,4b28434b)
+,S(60d4b53,9a29562e,8fab8ad7,3b699550,3fe7d6c1,e2ba1465,f05c92b1,61dc829f,2c2ad439,8fc7c836,5b2efcf2,1e4d0156,1a753f5e,d945ef2,bb1a3394,203d07eb)
+,S(5a3a1bd,30250a40,d22aed42,71892b88,3c03ea0a,baba458,6b65cc50,4c79b107,9bf3bf42,df1637cb,80c1fef2,cb9bfaef,dcbff761,89cf9f5e,d00f0f4a,e551e31b)
+,S(9b9d93b5,6b70fc67,5476c6a,6913e173,11ed1ade,6ea7b810,b9c90977,a8f3707,ae01a481,7a9ce6ef,5584a48b,fb96a9c5,21d5bb7e,2bf73cb4,b71f4dfe,aa7da298)
+,S(44bdd82,86a3a4d7,6ecad7f1,ef66022c,6a49b916,3d7a8ccd,e54bb017,814d2f70,26d345a0,52034ce8,b4382905,f60f8885,e20afd4c,54df6d6c,ccd1c2e2,5d06adaa)
+,S(8de8205f,e44946c8,582dcbe7,152dfe3a,7eb85e7,bc070282,3c972727,54463869,1dd97d78,e12a92f0,cc2145ee,db4ef561,af21d3db,f3cb123,ce0bb582,6791a30b)
+,S(c36a713e,3d88ae25,f79b4add,90c6a724,77be7d9e,a62ca0ab,2d5a800d,41f9321f,2df57da8,6cf17f7d,63ebb85e,e7570869,cf90b462,e76af48b,641c07c9,45a638f6)
+,S(1ce37a88,f25b8b81,941db8a6,13a7d952,c2cf868f,e979bc0d,5f35410d,147207a8,7fab8cb5,f6611850,e541dce2,315a7833,3999041,5c18ab0a,718dfe32,e0ebe992)
+,S(e489744b,dbb11e61,a7e827ca,ad18ba55,41f4c02a,b50b75a0,353f4a2d,f504d575,6abad3b5,3ad97e6d,a301ff7c,7931f37e,55246ab4,c7560,363ff214,2cb9a398)
+,S(cb4ec0aa,c1cddaf1,c7a67507,5cad6762,cf8ffce7,6a06f76a,38bb88c4,5181ca3d,7f15e726,5092287c,d2ccf3c5,dfcda0c1,8c63f2ad,21c06a2b,469bba5a,d9e4ff36)
+,S(aee1c436,6b923847,40127dc4,150c6dcc,ea62864f,394415ed,9a39d539,adda44e6,2496d2da,97990e6f,5fb1526d,b93e92e7,8a011c33,61218d,c3d3c56d,952f8666)
+,S(a099ce61,d950fa1f,19abc21a,79c74021,472c46ab,d8f67798,34df0429,ba785491,c4dc483d,6d61ab1d,7578ee0d,7548e0b4,295891a1,39774c22,7d073232,f2f3ecfb)
+,S(6c57db5f,b194dde1,b8cc9686,fdb65fd4,eaf8aba1,84434344,7a770ddc,9055e429,2dfb48f1,58663b3,6a7747e8,4b5a9001,163ea20e,f07649f7,1d7a21b9,b11995e2)
+,S(f6efa15f,20b2e91b,cd7323a6,51e5d7b7,a8b323df,924c616f,21a7d6e0,e34d3c76,ed48a439,2bb4d596,58e75757,95a0a4d2,7443415d,7662a535,a6246d64,3804fc1e)
+,S(e7983476,a900be4,e9dfed94,42f575e6,4d9af362,1e874a99,576e06e5,d31485f8,9d21080a,8b0534f,6b2dfff8,9eb8172b,cb5388ff,d910fdfa,405ead29,9df779be)
+,S(88ffff0d,7b415f76,8c515d80,9c607949,b469b07f,3978caff,1ba64e,ce198ba1,6816bd9,ab0e773c,38b73787,2881e96b,8eaf381,b155b205,79b24a39,eb9e0fad)
+,S(e5fd2c3c,a1c85b03,3d93a3c1,261a5c1e,c4adb72a,7700405e,7c0bb108,d8fec1fe,97bdee17,50801ab9,a96e3fd4,ec4860,e59034e5,c02f9168,79b1e654,5a65fd39)
+,S(fb010f18,146336ff,30dee37,b25aa384,9588b83a,bf943125,613d2c72,c2f5b3c4,4b0ff7e,7a6f15c4,d377e92e,73c8935b,d2d9f7b3,5be91cec,da891f61,c7631bbb)
+,S(9be574b2,c28b1460,a1d67d94,43e4bb85,c46a6bcd,a957499a,179cc8f9,7ed33c2a,16aada1a,367def6e,d4f34409,e0ff5d41,f3854494,6a764040,e1109574,109bb310)
+,S(358e97b7,6799ae09,b80b6797,90e34630,3d61fd4e,71733d6b,3c90fdee,2ad44bf1,3eeb5209,175677af,c16a3869,5ff7d3a5,e9704201,b802ec33,50c6c2ba,c0ff4144)
+,S(2ed930c1,c941b209,b6e7cf3e,83971e70,9e36bed7,a4d3884a,faaf013d,5b589b59,ff6a5a5,e601377b,9dd974bc,4fe71e36,403f2cc,90b16834,b1beb6a0,98553d2e)
+,S(d86110c0,6e8b20a2,e6da1930,fbda70a0,d8c022e3,e68255f7,262168f3,2bd58986,34dd600f,9b7157cb,2ec545e5,c50b3f95,2f422b21,4afe255,b7337815,1f3dc048)
+,S(4e7ffdde,305ea002,f7dfadbe,e2da926e,6d2c2714,596fb052,7eddfe92,81d4fefd,fb4dc1e9,476cb2d1,3bef4548,9ab7ca86,6ccbdd71,4cfc937d,bf024f12,ff04eaef)
+,S(6ba04fe,47c4c99f,849fbd68,7e1ca6f6,3e00179,3ba3a08f,86acf668,df0afdfd,dad78b7a,9d34c738,31112801,91476b92,b8eff31f,fcaa6d,a0704244,5fe32e37)
+,S(bda2c2c4,86029d0d,b804f1ea,e9215150,34276a88,179154dd,d5d9f176,cd7f50ba,a70291fa,47b98bf1,fecd9aa5,b53ca619,41d62c9e,c8b02ea7,91c79482,afc8f1c3)
+,S(99801a16,4da92a6b,de6ec7a2,69c2798c,b421af01,5ec24c8f,1b090169,18980a5,3af209c7,de27a683,56f242e3,8805a368,66cf7780,60c2806d,76f9eb06,35c18358)
+,S(67fcf955,dba84390,638517f9,5792d09b,64c056aa,ba98acf9,d63c2bbd,df5f021f,96f96080,b5758233,ee15e8c4,7ffdc3ae,bbc752a9,d7697e1c,3ec3d479,4f912d2b)
+,S(c15990a0,50c2946a,e4518cf6,84ac9cae,1022a29a,bd88f8c2,c8e724c2,89b954c6,611bc99c,e4ad5b6e,3ac932cd,e2e70e0b,a3690ec,758bdead,5edb3b0f,b5b95d56)
+,S(c5261ad4,f6d03a0b,c15ace20,aaf95bf,94d9ab5a,95a45d90,6ce7a622,3b09d59c,5fd1b7a3,b22732c7,4b5dc1ca,fac99882,467bd80,53f2f606,ca5af8fe,6d741448)
+,S(b0bec3f4,eae81fd7,2b70027,72a49acf,46a5c50f,48358df5,e174eea3,c0da88a4,13a4cf63,fca873d6,cf1b8c35,ce25f439,4d74a5d2,f2fa2799,d4c3bb98,8b50ab67)
+,S(e3d32fa8,9218a38a,c503780b,dfe23dcc,e6a7138,d84668b3,f71b3fdf,891b6256,246ebe20,7ab7c536,8f7c9795,9e7aa1fe,69909d50,f4b24263,c32b8bea,7674b85b)
+,S(ebf3bd9c,1920f625,4c32467b,7c1c138d,3ac6a4c2,b185557f,6eeffd7b,2aae0d63,58ed82e1,25fa2241,2bc4397e,73009692,af1d5feb,f640a422,f52e5cb6,42d4bccf)
+,S(d062e72b,3dc76d03,5827786d,a9cbcb03,b710ea61,2eac883d,b7f50df3,fc6f7175,cc56b076,dc3cf1b9,e544858c,1a31723,33ba9848,a8c463f2,abf2c6d0,dae14a6a)
+,S(97444eb2,32b09240,fc596530,374da035,f5ebd37e,6c74b51c,8158eab7,8ae30f89,fa06190f,d2072bad,b9144f72,db18819,ba76399e,d171d4bb,1293c20d,63d70391)
+,S(3e1ffac8,15f68300,4714f302,1ed39460,d5e4d63f,6fdc445f,12d8470f,b273c242,86f0839f,8610c4cc,6ae85d54,b951441e,efb700e9,9ce54aa9,fb6c7988,a8494c25)
+,S(deef1e7c,12e498e8,6542acf2,3782ece5,2a02b13e,3b4e71cf,e39e79ba,541d2679,e039a94,f4b169fe,a13ed182,f9e541e5,2b117536,d90024e6,9f3bcc7c,988714cb)
+,S(69ed1a62,b3de5c,c5785b27,c7926e52,4ca1527,9f8a00eb,b5e1c247,a6c8265,9c5fce7a,84b79a67,9f3030cf,a179a682,cc22c464,11ffc8b1,ceb885ab,4753de36)
+,S(cdb36419,5c3be45a,bc9f58e,e5a499a6,ef58ff2d,296ff989,9fa987c6,b753f82c,34a1a6fb,7a6b6c95,2a604340,d2c30c15,69c46123,e5cc5318,833f3a3f,bd622e47)
+,S(c5749ad9,f4583689,f2ed313f,dc35fe8,acb6a85e,dd0498c5,ddcd4842,fa21c555,f22ea47,ba61044b,54ef967e,c8c82167,3d14d710,334784f6,a7b46d48,19f99cf6)
+,S(fc86862f,b2fac126,e4341121,c82a9e14,d7a48b9c,988b8458,300dc3a,ba10dffb,42339dc,e304641,f814327b,ca5a611f,3638d610,85826d70,3d94c76b,8297f6f9)
+,S(66dd174e,446ae0c6,3ded267a,faa20ba5,62131459,5576d10a,1e44ef18,69e36ca9,d93a449f,6d3fef4e,435f6fa6,3191b625,b883c303,1dd8b380,777b556e,acee9df0)
+,S(736a80e9,15b39c21,5e5efbe8,ed6f8fff,7aa826f8,5c940110,3c7ce372,86d952c6,4a9e17d8,9066ecb2,95447058,4dc58c36,c84b3d9a,30ea45cc,e62454fc,ae13e0ba)
+,S(7b747f80,f4a324af,e6042edb,d8682d3,1b8fe12e,19936844,b44c3e73,f6b7075e,c2684490,56e7633d,2add97c9,75079594,b9c0d038,cb864331,aebddd3e,18830199)
+,S(dfd54b47,e4d2abe1,c40e0a1c,2916469a,7e8a61b3,bd95a1ea,8b5fa182,903d8339,c705b4a6,761d2ca,49f87fa9,ebb4b39,35c3c633,4f6b7643,417c8a29,95515fa9)
+,S(992a5fca,521a86e3,dce0ccc5,fd1b2ca3,656f44c1,f4967931,8ccb7a28,7879213d,ca2836c0,496c75b6,4c56c13,641d0402,b64cb2c7,617c9fbb,d820245a,9321217)
+,S(38e59093,acc26364,de9cc5f4,de398799,54774d68,ed4b0283,2bde2a26,cfcd23bd,953c21c3,14ad2e0d,511d3f05,678358f9,eec2fa48,d6b24c9,6ed4efd5,da3b3719)
+,S(889ea31a,5969b77a,c41c0a39,cc5d006f,6ff14f22,a62a5f26,d736ebcc,f5df8239,4c2fa5d9,c2f0316f,dcd6462b,e7571f4,92aaee96,c3c888e5,21cfabcf,78d2c3f4)
+,S(f70e24a1,6807d5a1,8e15fdd,f31301e8,bd210ed,5d3d614d,82eec8b0,326d7b6e,dcf95677,b29a5ae6,15e2e7b6,c370cf69,ccec71e8,9569f0b0,5715963e,da6a34a1)
+,S(d6eb7425,9c17d292,e1b1a4ea,624e6876,a78aa774,2b14e94,d3fd1b43,562e35e3,c05013d1,4056ea0f,e5f1fca4,b0c74b5f,776a8564,ac973973,c929707b,b3f078bb)
+,S(df7cc5f2,69faf306,6050409a,6a03cdeb,8f33d1d7,4e30658e,e871de09,59701b16,3d8a28f5,f604c765,5f28dcf,b2f3407e,6a63db14,6b879fb5,bc785e65,59319147)
+,S(e6bfa4b5,85f6df59,7840119b,6a31d0e,4ad800ea,239bbbbf,a8a1a36c,f8c6b5ba,312b5d55,35402ae1,37f9a02c,aba859a0,22a8ba00,88a2305e,4afe8283,98844dba)
+,S(3c762a8b,acb68a13,2e3e022b,35634b3c,1907cdbb,261ff639,9520352d,fd94b3af,2ad358b9,65555cf1,e0027e3a,b93d46c5,b104324e,2c62f9b2,5f70930e,bf49f385)
+,S(b4d94e26,9955b213,8025e5a5,bc5ea171,c2ea6d04,9ab60184,88f47f7b,f6a6d3f5,197b20a8,81e9280d,96b5b4d6,ceb3fa20,38a28654,63e76ff,d0b5b401,8b59bd1c)
+,S(406e616d,907a0f72,12acdf3f,d5341a79,9b482697,88976615,388064c9,74cd8ed1,72730d26,b2698e29,7f62fd98,2a3955c,da516ebd,642d6619,2d33a915,ba39d0ac)
+,S(1762d974,37705ae8,37603446,c8c11568,c7878053,f25baf9e,e3bd23f9,5babdaf1,1db8fe6c,77f41656,1fa4df40,23662039,66a8f891,e5467b55,3a2593a5,1ba796ba)
+,S(f5fbeece,aa5386c4,d75c92a9,88ce6bf0,f957a0ed,3f0caff9,42f1f29c,7ad765ee,fa45a4e5,85ccc691,88426bd2,8ae561d,a2f59d10,e4bd63b0,4f8a53ef,1cc3ab28)
+,S(7e0d92d0,d12bb892,b87b8bc0,993b4422,cd1e9d95,144602c3,a2aa3c06,bc945ecd,601b1019,746bbd4,ba9bf00b,4ffaccd0,b1bf885f,57ec49d2,9fc91744,8aa70761)
+,S(64cfeaa1,4d4e0cda,db6b6a2d,9e2c2820,d2fa7817,43d7b2c2,8211b1fa,e17ee0db,f0b199a6,1a1856b3,360f519a,a6056900,7a0ee623,69e0aece,ea64f0d0,8cf568f8)
+,S(c90f70e6,99ba1a75,86073eb4,5540b3e0,80bc78a4,e811069e,f861b048,5f11c88b,7a8257ca,cdc7538a,13b55285,939c614c,14d6a94f,70509900,44b286d6,7eb84e14)
+,S(3edbcf0e,b4e5e640,f40afec9,ad370813,426b5488,3090f8d4,b72b1680,6694f42a,ede4512c,c4baf93d,f05c14c9,cb17b1c1,fec46052,c7087306,2214a05d,60743c80)
+,S(77adf15b,ae449ae2,f63d7c44,3c56cf9d,64d43840,5154473a,5948cc79,160b64d0,a1bf9aaf,7804cae2,c377f98e,86b75e90,6886d293,21aed43c,77e330dc,df9113d0)
+,S(350632ea,23e39962,3daa53d6,5a916f31,b2ca02bb,5bca1f58,35b85165,b430398c,41931339,48282550,bfa1cef9,94c28873,ee0165e2,fa970d04,e51f8ee2,b87916be)
+,S(3d6aae93,5ee4ab6d,46de768a,d6938703,262e9fdb,13bade31,d38fbd0,9fade000,62674fcc,6eaddef7,b971e964,5a688e32,14186605,615982ed,a09de4ba,13eaab23)
+,S(856e564,a155a29d,c1b739e6,309fbbe8,5ea4debf,f12a9249,347a5435,af674993,a0e6deeb,3777ceb4,6017ee63,caeda231,e616fda3,c105f0cd,6174a3b3,dea84256)
+,S(95f8b405,c1ca86fe,d56727ea,eecbcce7,32d2c521,415eff95,b3cb42dc,5230cc7f,c8c66b1f,2637df4e,2a5375e,3a2e5e4a,a89404c,810322ce,c4b2bd1c,91163ccf)
+,S(b51de213,54aa18ed,6ea589fa,e3b92d90,732dad07,6c80b842,579d53bd,2089e0e0,8f069737,1baca2db,208f7db4,c43a85fe,d816eca4,e35fe95b,780e2c4,a3f1b948)
+,S(e36ac0b2,c4b73783,7a96b372,b8d0779f,41605e99,2a0013a5,3c8eb4eb,d5e2a988,d41ea6e,ef06bd62,7c2acd2f,645acd8a,75e353c2,448aba53,452787b6,670eedd7)
+,S(4d08e46b,a3e812b0,67071dc8,b76cbbb2,4effce48,cf4a4c5b,ff4e15af,71c51635,fcbf2dd0,ba055845,b70cc545,5a8658f,39ef2176,9802fbda,2d3ab98,ba914c3d)
+,S(31421774,5b1a6b68,918e8afa,4e8dda05,6094a6cb,6024c3e0,c10fdd99,245d7501,7ea6ac19,1c0db139,eafdc961,e8f91f1d,79269f69,cce275f7,abe9598c,2916fbd5)
+,S(79bb2dbd,f9afbc9c,f605ad45,4768cad3,14d48241,724b301,7b5abd51,6f8dd4f9,d1c9dce0,30fe1a72,5d100c07,d842a78d,beb689a,606a933,ca865051,49007b8c)
+,S(112abf7c,1d5d66d0,cbcbf42,1874bcb8,88d3b3b7,5c2cf36b,1399fc04,17525731,b3d3ee4a,f44b5372,8d0957c5,e388094c,34fe0f5d,c51abfc5,76c1e18a,c920dabb)
+,S(f6257a3a,60365e63,471fe77f,893a8ae3,174d30a1,9aa495cf,251812d4,c5040400,293ef8f3,91804cdb,34845404,996a24a9,5554fd24,185ec85c,3a27ef8e,c89938cf)
+,S(ee7c8ee8,bec75bae,db32c6f4,3b3b7a04,2c10e903,de9e7d21,5ca08135,d59a682e,e68a0137,398fb186,d5168e64,4421ac4b,30a635fd,c15527f3,e56b21b7,c0008ff6)
+,S(e292a4c0,fd63ec7c,c661ee1b,25c9d5c7,dd805a97,fc6e64ce,5d3d18ad,ddc92aa8,ede226,7fa6fe51,1d4a510f,e7f5e14d,8fa29fc8,b77d61ea,2e140739,29644745)
+,S(cf914327,85a05d41,2ad06146,6df68649,d3b8e0f6,86a83a70,d32c2fdc,978d8124,f74c1223,7b0899dd,53afaad1,b9b06704,c61c6e97,81456e86,ea55e65,96b0b13d)
+,S(88e58d21,95376fcf,b3f0c44c,b013f2ba,3379ba55,2ceca46c,38ed48f1,263fe894,f2f38177,bc673cbd,70853432,6ece1090,5863ad84,1140c59a,2a782af6,ccbaa71a)
+,S(90ada18b,df0c62d9,dfa35e14,d1eab9b3,48d09579,f4e82cb3,65dad65b,62ba53c5,2c4e704b,fc9a9b97,7d330d92,602c677a,4a06040,74517775,d441d0ce,6c5e5e2f)
+,S(3bdc1eca,a939c8b8,c164e5f3,1a02a6dc,9d2712a4,6c30f54f,e2159934,d492d1e5,e53acd26,28f6e646,edb5f53a,d9e1639e,43b4ee9d,b61a3545,a9874609,9b3c1e94)
+,S(54a206cc,48c7d529,c8bd2ca3,91501ca2,1b58f5ed,921ba11a,95eadfab,3a720bf,83f4f820,b9a07ae2,8c5e137b,c9ec4f0c,31c875a4,b055b0bc,8de38f74,c54c06fd)
+,S(2754b021,13885a9a,f44cacd5,2999a03b,d16c90e,4e3a7a67,cb3426df,f6abe546,f8969b1e,e955f8e2,dc0d3090,167c0116,66beaa68,35bbb1dd,e721c4cf,768ef566)
+,S(ae438153,4cf07fc9,1dd14a40,68b3cfe3,aa6e608a,bf1d1c1e,13ac54ee,e0759165,e7807ae7,395fd072,6f77d7dc,956c58a0,69243b63,32bad336,72d2eebd,662fb99)
+,S(cb9d28c5,357165dd,fe18010e,4263e626,65fd6315,60ec8126,c7b60603,6ec067a1,86879039,f3264d1e,511fa8e2,4298c9ed,6f1e7625,897666ad,4db9a43,3338f5c4)
+,S(763534f5,52317771,551524ae,7ce33579,41da627f,db77d4e1,a9cf72a5,f182d276,9fd8ae13,b1706cce,ad190066,9b1d2f46,8c177970,b5173f76,55efee54,ec5cd8de)
+,S(3990fb8b,39d529d0,b2d38432,3c60ffdd,3b32f7c,278aca88,f49f1523,fa16ded5,e43c977f,427570b5,b238edd0,77db9df8,b1b82e20,b73b8d56,84a2ee37,886edb83)
+,S(6b76502a,22280e31,d0b6375d,6dffef0a,94dad7bf,e640a406,2ad696fc,2744cbf6,e667122c,b6861cfc,97fc4ed0,e6193883,c79a896c,79e31603,a67063d2,421845a)
+,S(7ac03be7,2ff15233,5ec9c349,98e77ff7,79e5f348,a49fda4a,e52a69cc,6b02c02a,74a9e36f,af0ef72d,b493617e,9474b112,593de375,c845c8dc,c1028ee7,9fd17599)
+,S(31a83e18,c03c570f,31c3ecbe,bb787aad,6492cdc2,3e07d3a4,43b56ca2,51c0888f,3cbddf10,9bf08e81,830dfa49,d4d3cf95,224b7a4e,fd6d9997,9dceb64a,a8d7e440)
+,S(ec13f2e8,53935ae0,705c2644,d1512bfb,8ea4adaa,d45a454e,f761dc68,c7ace561,54139641,97e2f5c5,5b4b7f5c,5267ea7a,bf36b01d,cbd62765,ff56322,c107f321)
+,S(ce8e23cc,aa38e603,70defdd9,37803f02,18ae79a7,3679c363,4dab15a,bd46004a,1ddcf92,92ea77c8,4a1346a,a5f79f13,26c9092f,14ce1992,dfc24bf1,a2da35d5)
+,S(77d80689,f7cd8585,fc03cb20,14d02425,3b547962,a282beff,17aee956,88292ee2,466283f6,429248fe,301e18ef,61a89784,47142fd7,fcc5c496,36dca83e,ae8e9f03)
+,S(6eed61a1,4e7e7ea5,54a4e43a,61fa7eb8,b8e7fd0d,52de9ad8,e4e9b130,78178a5f,2cb4d228,90af9cb,a3c050ab,12a3dd53,1f1c6d6a,e4393449,219d86e2,6465bbab)
+,S(10cb3737,a7916d84,12c955d4,32d1ad46,d8c7a60a,e44936ba,f62b2a26,b698e4f9,35499a5d,11e356ad,fc5960d5,8d6842e8,ea0615f5,e8bf39c1,8c217cc6,7a1faa97)
+,S(e866ac84,6040f92b,c52d298a,6ae110da,e16bc797,d6958858,1f63c00f,6cc68211,257803b9,ef7bb5ac,59c6b59d,32a49d53,64c6659a,cb0482e,a9d57530,4e244f90)
+,S(5e75ce15,aeb91c2c,e4ce06a2,decf02a1,db85ef5a,a43c42b6,179d4a,2eb4e404,a08d537e,529a6654,a785969c,8d8b0b86,e3a76f91,d9b72d92,992f8215,1b61bd1f)
+,S(fa80c52a,12afecf4,7a5b48fd,60fa35b5,ffd122d,8616ca07,1c1271a9,bfe2c104,74487acc,dbe2e60e,e054643c,37cd624b,3dbbc3d3,4aaa6009,9c97cfe4,b3d69e81)
+,S(ddec1720,dca13ec0,2eee97cb,445044e8,d6b049f5,694ce5a,efa664d9,d89b6dc,122b68af,feed4f56,b72a4a7e,e20a7f8a,8daa9883,9a797857,8dac0851,1b843872)
+,S(85116566,57b70a1a,96c5da0e,fa5d3025,49fcd00d,104a4989,442ff143,a08b5a59,2c96bdcc,430c6c28,9d54806c,9c17961a,8121b10c,5168cfed,a0dc8edc,9f4f551)
+,S(7de80b36,89b9dfe9,de2f4fd3,4dbcedba,9ad39842,f105f580,d8d5f6f7,e1eb3e58,43d20653,db727ee6,155998cd,f7bb70b0,9be15c7c,a04593b1,398b4586,baa3c417)
+,S(e66179d,366fa7af,a982c480,9578d469,91731ce8,c669d8e6,bdc399c2,a2484b1a,9371d856,28bfb10e,d07c3390,b9f08222,98793229,ca2cf2ee,75d53d2d,e8144441)
+,S(1d435048,d7b8bfa9,6df91fa8,f8f6d1ce,913bce85,c2c7a1ad,cc199afa,5da012f1,4e389f26,4f36b2c9,296934ad,5f567eed,30f3179d,6538ef70,f4205219,2c3eac82)
+,S(5866c91b,619f53ee,3256772f,56191a35,23696c7e,2b5140a2,89f36c11,c1cdfca7,67090999,33ade86e,3a5d384c,840fc584,2a85087,10085798,913c41b0,e2dc1737)
+,S(1e06d768,20c95907,405fc2c6,bd75e1c2,fb9c4d0e,4cee156,94e1a4d7,65a77a01,4aea359f,bd26d7a6,1b1e9f75,5544363,27eea590,fd2d5eb8,87ece7c,41759674)
+,S(ee415cb8,5e1ef106,28c149bb,2d2f9e1b,a8083367,60a7b56a,f122cf4c,9b59e5c9,f52aeac6,e2fb8a7e,ca5a629f,b431736a,eec16a06,c1a4b876,94ad8bed,bad88ae0)
+,S(42da5368,b60f85c0,9f52c3c,9aa82e66,4868ee37,4b1851e,d37ba6a3,fb717e6d,71f65b16,a3937a5e,b535da,ec530798,d1c91c88,722fadb6,580510bc,5f27ed65)
+,S(10bf9254,6300aa51,bb08f849,5acf4e53,b1eb4e57,1328fef8,304189e9,7acb81e5,9b519bf3,482c9516,132388c6,dabced4d,971d033c,52bb5607,6c788a37,a9eb49cb)
+,S(2f6456be,5c2c184a,1dbdde7c,2dff16ac,8f504a9b,d86de1a7,d9d3c1b2,bb0688d8,6bcdc62d,4e6184ef,1fd39720,55da6e7d,45cca6d9,4d15c052,8ddfa715,4aa68336)
+,S(e68e8fb9,beec6d15,207e7017,c3574e34,102fd7f6,5e5f18f1,e533487e,5bb2fae5,13624e45,da0b6edb,df4ae938,82148590,63094aac,1b25d534,f80ca56c,814a944c)
+,S(7d314f19,4b776d00,b946825d,f634f763,e0b5aba9,b1fb0424,833301bc,ab1e94ab,80d402d6,a8dca19e,709b9e23,4dfda4f3,9f9f758c,928c1b9d,842b2d5d,aea3fa54)
+,S(fd78e68e,5b5b9522,14b35d5f,a0951f4c,4d5df056,28c5bafb,9c6144e5,c2c33a49,49c62b9,aa91e5f4,be13a209,7f941c9d,cefbb300,eeed9fc4,a12c1e45,37f4535b)
+,S(e751f61a,11e0b68b,205fd306,9f4abab0,b2576131,3ac3ffc4,eb4c525b,f2b28f6d,aafd8f6,2fe20722,b180ba67,f9c3b6e8,8ab2b96,956d603c,868a8867,c09ddba5)
+,S(6db64d2e,281e6734,a8908de8,554dfa93,d7811f01,2852a306,9e6ed59e,c09a4823,1c1276a9,1de36164,309d83a2,d9fdd003,d889612c,6026817a,cda97f8b,d2cec77a)
+,S(4de91b17,fc227eca,652f8d15,8cf0c696,c6902df2,b44a02ea,d05dfd68,e408a17e,130fd485,d59456b1,48458cba,922e9ce7,79968340,d7e5267,b2f288d9,6df924ae)
+,S(356ceb61,8c57db92,931a305,4537ddbf,8bad8cb0,c13f447c,1c3fa485,5c0ba01b,6f52d242,ec189e41,d8ca010,cdd645a0,8889206a,4df81651,1e820e0a,74bbaa7)
+,S(595d8d68,1ccf61b0,456ec03c,53cc5a93,85e553b5,36033f8,ec56c575,db49cce3,773b50cf,f0718e6a,6a269cd9,65b5001d,f5613238,3e279bc8,fb937580,a76ad035)
+,S(b076afb7,234e8fd4,4107caee,8d31338a,5122d785,4707605c,2e5dae93,2e6c935b,a18e661,1921080a,84a74df6,15006847,981b552a,4c3021fc,93967c64,b19d629f)
+,S(834a4467,bada612e,2705b0ae,19fc9f1c,b80e6e9f,7c4c01e,5899fba0,1f60cfe9,9215b4e5,f8194645,813f00a8,58f77324,e28522de,16e93e80,93197310,38ed9af8)
+,S(d00093b1,ba6eea04,c08df30c,90b2f7de,6e13b42,c645b01b,127003b,5642aae0,87739294,746ec547,4497a951,c26ca6e9,12ae4638,1d0e2804,5363fe26,de088434)
+,S(66a33bcc,71bb2f0b,ea36e5d0,f1446ce5,f3d44a9c,b715e6ba,ed00cf70,4c4ce1d1,27d0f5b1,a40fb2f1,e1f9440b,c1c15731,50efa23d,b8997928,cbdc0e03,2824a6bf)
+,S(ac65226c,dc40fb92,a9632724,20983b87,9e1a7615,fcbde26,ac9754ab,408211f0,ae633790,687f1c02,52115aff,3a7d5c92,9064bbff,616b5eb0,87d5c1ee,57cf8d3f)
+,S(a4b98213,78cb0e23,d46b1359,43b354da,3825e27a,76f33334,147a3ee7,52a81913,2786a9fc,3701a6e7,caf07030,3bb382b2,ce6d7c52,42496130,13382f59,92fec4e5)
+,S(6f58e6ad,e4af1dcf,633d3f35,8ac86836,cf0968a,49c2e85f,2434ffb4,2475a34f,70e30dbc,dd567c8d,a6aa970d,3131009a,f5297a36,f80750be,6462f1e8,336db9ee)
+,S(9bc7ace7,d55fcd7e,e67a0484,7d0d6902,f053288,ef17b3c2,64072dc0,ae0e94d9,7f57fd70,93f3d09e,53a82818,e5ca4cc1,6b46f73d,2c00e50c,698d5963,8a8f3f7)
+,S(248195de,ab1ad52d,fe739d17,a03ab762,927e058b,ae666f2a,4f7e220,3173bb3d,1b1914d,3dc9f584,51ac3346,d05f033a,b793277b,dd80262e,d2ffc219,6965b96)
+,S(f6008de0,21c5cd46,d9d811d4,4070a7d6,46105a55,2a68c389,a11161ce,9baaae2d,962cd254,e5b0d724,5ddf7114,32ab2800,16f5583a,b8fa02a8,61b7c3db,eed77d91)
+,S(f6dce5a3,a919eab8,c1d850b,4643dd3b,96e5c7e2,a1923b58,202543e5,4ece5b40,c1b88f2a,b3d516e4,7d289ecb,b16b9bb7,4082a6c0,8ccafee1,21abf691,73734c08)
+,S(23fd6281,b4958fb3,b94ac9cf,851561ca,415cc979,7ed619bd,15192ca7,7ad39a71,fac12f70,ee38f19,b2dbbd5c,3cfe02e1,b69bbde8,7a45f8d0,bdfc909b,640622b0)
+,S(da3a5c2d,7cdeffda,1ff2085f,fcda0ded,eb40bd40,3591395,e4b20b0a,25a1aa8e,e0d90d58,a6cf6038,10bf2891,d51da508,77d3aaad,5ccc971d,944ea960,c943e3be)
+,S(22113f6b,8015b2f5,bbff28c2,cd5dc253,c495cc62,88361c27,3e788aa3,58a94554,7b6f7bac,2db4f198,20ca6e90,bab75cd0,983536bb,80051e6b,7da589ee,dd2ae962)
+,S(3b59d8f,d59a2e6,89c9d1c8,a4e2515e,73317cf7,41e38108,eaad880a,e3417c72,bb96d412,50614b50,8903c28e,b5d39ed5,b4e735f2,ea10bfa,1265aba7,f21ded5)
+,S(3407e5a2,4831b572,abc0eeaf,c587b20e,9339dd05,ebf395d5,378cb151,e0dfe661,49214182,78e4d0be,31cd4e1b,9b0458b7,7e028840,4a0745f0,40960dff,b9022926)
+,S(9540e180,47717f7e,f6ce71a8,31368919,e4acbfb6,18c1582d,cb4093f7,caad2601,6fe0f64c,3f0aec37,5b36758a,7f65c7b8,e9329f62,3309900,efdd58f0,7bcf244)
+,S(bd02f758,513ef045,af72344,f5d790cc,1c549a23,147a2743,b8c0cb30,891af3a1,3c605d60,13a560d0,d792c5a7,6ae2f739,7631ea13,7347864,4c6bbae6,dde96079)
+,S(43b10d72,cf1ba39b,17abb149,884fd00e,56525f61,594f9654,48683c16,88f3e69a,cbce7dc6,1bf71def,95bbf6f2,fb03751b,8a0c6350,9eb9ead3,713366d,8cb71407)
+,S(32900344,9ad58567,6ba2607d,c873a8f0,80d9c0eb,2f7314cd,9746008f,3c569642,8c6560c6,9a037d5a,3b2e740c,270ff543,54abb60e,b32ce5cb,4d18ecf8,1ab7ef60)
+,S(a1495bc1,91188644,4991e097,5334c9eb,cc277640,f568a7b3,1350e4b7,222b885a,c5a1c341,67cbed14,7f28f794,d9d2867a,9019948e,56f986a0,e69a0d6d,6ae7dd1d)
+,S(4640f683,f180cf5a,4929c2ab,5169de2,85861055,67c7c2a3,3db2d01b,c3c8d726,7d6ced33,7e752ab5,c87fb211,903c3a91,e5b0ee78,361a43,b716754f,d0daad8)
+,S(91b3f9d2,7e989062,ced571ec,f373ff66,f8775213,95e625db,7d1b5168,e895473a,d7efd35f,56ffd001,bcf0191e,2692e832,99d0715a,edc1a19,2b74d8f3,c0b23b80)
+,S(437cb866,aedcc0d5,8d89a41f,95cf5dd0,b355f244,7885843f,c163d54,a3839db3,9d644bce,31992f2f,302c5daf,67e42b78,74bf3f9a,a944e936,aef17203,5ac2bddf)
+,S(be8cd347,572e0e46,5c745c83,26799611,a5ebb1ad,3ae74bf,474a6386,6f4a3705,6d39457f,c1010837,eac6bd41,bd4a245e,10bb39f1,77c5633b,92bda8a2,c50a3dd0)
+,S(f40a76f2,130d31a8,c560795b,54fa119b,153a9a75,bfe7dd28,cc00ca35,2d258331,f92558a4,69f1055e,251c8814,7a94dd08,44bb2048,31f2d33f,d95858bf,dffd695)
+,S(17e01809,b94d294f,c4438a92,6f90a295,5a9ed96f,a201df62,b96b19d1,7e837876,c9506f35,8efcf330,35603c30,880d5625,db15175c,486f3c5,841a14e8,8e5f4e72)
+,S(7dbc457d,7ad4752f,8d57a09e,d4e8cf02,6c8b009c,bc29afe5,ce2ee745,61630da9,fea9908b,ca852ed8,3c1b44da,207e8bc9,221b8dbc,7e8b61ba,ab8d29b4,14eb29de)
+,S(89fe19a7,6fe2208b,ee4de72,249a503b,88c63e22,71794bcb,9484fd11,1df7902d,8a4853de,c3cd9e1a,713e46eb,e771ee97,b88defe4,7e1106d,88ccd713,4e3a6779)
+,S(3753a13f,531da9e3,5569ba37,7db76dcf,b43b5483,1e65fd50,a6ea560e,e70f3eb2,ace8aec3,867312f4,f095b4e0,d08ad314,2005cae8,b1369223,d1301e29,8e51d4c8)
+,S(30d76056,384beb45,4c54b4bc,fcdcfe0b,1c1ad5b0,5e693384,8794846e,c93a144f,f79b9c96,8eee678d,b899f349,412bf193,5da9cd,c0ccdec8,2e45ac5e,58f3d3f)
+,S(d9864700,7c74872b,40ec273c,59aa149f,8059a1fa,95e5b47e,378ec515,841eb2fe,782a39eb,ea47da96,9361a337,c5e2cc0e,49d43dc,6c6f9da6,6952f347,ca51845d)
+,S(40d665ec,53720f95,42ffaf3c,30e8602b,53c52123,e9dd3b91,6a2e9099,8d534fb2,cc420012,490afedb,d840a466,bc27f66d,526a965a,ee653886,8cee46a0,6a58ee30)
+,S(f31507a5,516719bb,f07438a8,7b6d6d93,d02a88ca,c18fcec3,9190f358,bab3647c,dbec3898,f884cb2,aedfcdff,402ca4ec,8c8f8727,485060c6,8da0d2e4,edb46eec)
+,S(62573f5f,75db743e,7939137b,6b5e1d0d,41468ed6,28d2b76f,ca26ed2d,22532c03,9a4da6c0,d7966d8b,138497df,af25b0cf,2d14215f,ff039065,d42897f0,df33be40)
+,S(d0887924,f15c5069,1d7ace01,7eeda410,e8d0a10e,f6091a4a,7b5f368a,42c54416,b2fdc385,527d34f7,a434c1a4,1f9fddc5,add3b1e6,82b63838,da0ecd91,16571c4)
+,S(f7585b4b,5f3318b2,2307f34d,3e4bcedb,d4b91eb,180be664,4d031bbe,9b5e3d90,b6fd16dd,49993bd6,4d05398b,9ba7714e,798d3ffe,95393231,395c03da,b3ccc819)
+,S(c9cdc99c,198ca8e4,458e5473,3e5cc0c8,100fb0b2,2dc6f07e,b1e99d2f,6a4cdc42,c4c21204,67198733,a845efda,33a5c1b7,67cd8ad3,47a16b6d,4a6f5ac,995dd680)
+,S(1a054d1,5c4fcf45,384ead78,e1260eda,dee9e907,84021c99,179a9fc1,c7a3ac49,50ac5d54,d4fad7d1,5fbff150,d70a3ce2,9825e79e,206f4279,f1030d29,2de89a07)
+,S(b0796a05,52245e66,56b3ce51,99864d40,aed71b62,3b9d55b0,d99163de,7a8e3455,a061fa65,63a84b15,1ef666d,9f99abcb,f1611e3f,6e26dae2,6be7ac56,c0f2768d)
+,S(66fcf877,6ea02717,aca92a3b,5c19387e,72658125,f6e20da0,7595e376,804c3738,9fc66cf2,3195dcdd,7a72225d,96a8c5fd,1c84287d,2189e414,d0deb6b6,76e67518)
+,S(3c7caf6e,d3da8c0a,effd832c,f5356114,55646982,3a62dabf,2ccb3de3,452ac96c,e44ca4ee,bb290527,4cf8f554,40c92ad9,6055fe3e,1bb344ab,ace5c4f,80e3b984)
+,S(edf616b1,1e7fd6c5,96df3fa,77bfbde,f3f82e7f,93e5addc,53c83933,844e4b73,879982bb,b89ac019,e83f5c,dac1fcf4,fb918e2f,53a5ec35,45be03e1,89bfe152)
+,S(7e9af2ac,b3044985,181de5aa,9908259e,77207ab,933c7915,9dcd7aaa,90527eec,e4cc83d9,d29778a5,eb83936d,97bad637,370e74a4,3254eca7,65d0a449,106ee3a5)
+,S(32dad830,3bfb015b,6aa6759b,c2e8d4bc,2a9e356d,92d97286,c92dbcf4,53591aaa,ee27e7fa,b36a2450,f04962f2,ee60f9bb,68a1147c,9ecabaf7,e0981564,c1164fd7)
+,S(d20720f5,73f1db82,c1a2dc61,d3684d7b,a3943186,cd513a5a,9eecd59a,c9225a82,3b29448e,cac88f13,7dcddeb9,36f02724,6819c6c3,3f03a2f8,cc40a6e6,f8704570)
+,S(3a732b5f,5dd6dc77,1d215321,f8cd223d,22f2195,9d45c708,5b000129,94d5f03b,3fc75d80,ea7a0663,c90cc7e8,8a6096f1,b3a8c9c6,9849ea50,f1fd5c94,7928cfc7)
+,S(201961f5,412beebb,7e190d75,70977b50,230810bc,b3b69e3a,dfb5e259,d811333c,eaa3f681,3816ca15,dfb9aebc,8888b578,e592825,82dd1b47,ea50cad4,f59b0101)
+,S(cb184267,70cd3b68,151f7d82,cf7a12c,dae332,868663ab,4546c119,fe26f4ad,6c395538,eb09c00a,3e973def,8272eed4,27a3ca9b,a77d1a0e,c4e206f8,74591a40)
+,S(2c13d3ca,9ddbe3b4,2920f0ed,28622260,2cbc0493,e5156655,30b53da4,7ae3ba59,f7d9f8f0,c58510b2,db28e723,6d9af034,658599dc,fae14274,efbff408,dfd18613)
+,S(3ae7b7a3,86ae6c41,90b3a0e1,e5f1a7ce,4fffc405,84f05043,93e716a4,3ec83d41,643043a8,55603964,c46e3ba0,999c73e6,ab34703d,9dcdf9de,1743db7,71591bd9)
+,S(b5eea0d4,ac4d0a9d,e37fb1d9,6825233d,a00f26be,86c0b640,f0fb34c3,465bc441,9cb5b93a,56d35b2f,2d921c4f,15b4ce0f,fbb9240d,30754ace,f16b3019,54732e1c)
+,S(dc049453,9b8d5200,d513eeed,edc2afdf,e76146db,358a86b4,12ae9e28,e8501e3,6f6f2d25,b331a4b3,686adc14,c26814,96004900,34524b53,8418fe5b,9776a3bd)
+,S(821e937d,a6fae1b8,3b6aeb4c,f5315bcf,77b2fb07,d0081889,80478765,cea7f398,41405d00,33224982,2acfc2e7,87be9658,7baca419,14b70315,c1a57843,3f85aa21)
+,S(818bdf95,f55a8e51,c0d08d83,29574c28,1ae3397c,f6ac5224,4d82ea53,8f465c60,bfd41438,46dbbf6e,3fc442c9,7a66e8b5,32445d39,fae8c473,51e0ee9,9a9a53f2)
+,S(e3bb3262,36533fd7,84fc6d9,84cc5590,2b03a19b,6c956665,322c0bb6,264b6d72,bbe4844e,2be51197,d8d84c75,ab83cee7,c9ed7dff,51eac125,1161e09c,c1078aae)
+,S(36e3355b,5f946199,b33dad7f,b42d1245,4cf8126c,568c4be2,cb2abe4a,b83decd2,fbd5d87a,8c012064,3ed3441e,ec686237,1759ccdb,4a7f564e,c2ff9584,ab824833)
+,S(bd7fc193,1b06bd7b,c6c274ea,73d33e71,1e1e57f1,e6bf7a8b,6452d979,777aaccc,95b84e3,d8c41224,c74451c5,ec8a23ca,35436798,c2f34ad1,b1cd095,2f0170ce)
+,S(b82cb5d5,2e026caf,bc075968,6e1c6c18,206231e4,f25c956c,b3a05690,8c72034a,6417cb0e,f1a18ad5,e1a2a5c6,945f3b38,b0522ac8,70188640,80a0f33e,2796b042)
+,S(47d70d51,e97fad87,fa0b1c10,43246c0b,32108c36,734c90ec,9de5a2cb,c6227682,6d5a2cdf,e916fe8e,8b45d5fe,14ce650b,79a3cc9c,e4f99aae,2e9c449a,a79a4a08)
+,S(13fa7ee2,5ea49c25,200b40e6,b9232eca,16dc6840,4f76b43f,510c8a12,d520dead,2722287e,35c9f98c,6041cb15,845d515c,870f5943,74a1ebd7,36f973e7,5e6dc30d)
+,S(c1350b7b,2a4e73bb,90d36674,771d5537,1fa647ff,c490726a,3748e7d2,e72fa7a,2370f4c9,403ba7,8e950274,bc1f87a7,bc80c1fe,7618169d,5c9bc5c4,81e1badf)
+,S(dfe512c6,f884588c,80c1ea7e,1da4b3db,ab8d4beb,60749f40,9402d583,ac793e05,b52da5f0,333b904f,678dcd37,a890b79,e985dbfa,b501e61c,89930678,5a0bdf09)
+,S(88da191,2face14,e6f5ded2,30d303fc,867f9b26,d85c2299,bfac1a23,9757b34f,4236025e,f82eab9a,f1fd3c12,42a73cb7,fa305e5c,ef6ad5ab,ea62cb8a,4d74bbc8)
+,S(b7a82133,7cad0eb6,c1de7b3c,8aff8798,8ee936c,921a7dee,1434156c,c6505abe,d03b693b,4fbce189,a552a66c,3ef4586,35454006,308c40ed,c7dbbc29,75361b7f)
+,S(44971116,c14d80b2,f0f88829,fa1fac44,ac44124,11ac6e92,fb898e72,a0aa7ed3,9171395b,3cac83ba,18e9a0a0,34fec786,986534d,667b0521,801638ec,e19343f9)
+,S(95f0aa61,8bd8573c,81b2dc3c,aa16b577,6ee636a5,a8f9c963,b8a45370,7f35a618,7f2300b3,90006ec7,37365423,2b488d72,edf5192a,a1d5afc9,4bc95a18,edf5532f)
+,S(e1bd29e8,778a30e7,d9d91da2,3db2da23,bc2e8d08,d5cd170e,8e753e3e,917b728b,592894f2,114c11d5,f04dd5fa,6b341cb8,29c58e1d,a7adb51a,19d881be,39f87eee)
+,S(f6110619,208f64ea,8f0e8164,1ffe9f32,8e706427,87dcf8c9,28ca8629,adb99e7e,cff63452,a596744a,75c5e8a6,badc4937,e6f2c860,39196251,30784499,733651a4)
+,S(4a3f7c9f,1ba0f01f,d6d42aa4,284e4481,ed1433c9,3248da63,76f25b62,d2d2348b,dcd4c18b,2ee4e447,3515c727,1467e6b3,86b6e640,834598e1,4ce3f679,47f5c2b3)
+,S(50fc4d78,3964a68,b26689df,34d996cb,6f229f2a,ed017a98,4e027407,5fd730a,7ccd6964,c6c5ab52,5d31db1b,ccefc3e2,7a0882b5,8586a955,b76c754,9698a7c6)
+,S(1bdc6b52,e92022,229cb15a,6436d601,26c640da,bd9697d8,bd0c49bf,606ce554,1ddb0cbd,e7b0816e,b65d7ea3,98da0744,b3ff390b,d2e13cbb,f8fe85eb,8f3d2059)
+,S(62dac912,48f29712,c3126524,90db807a,af92d3fb,36117f6a,f5c7f5f,de317000,b3bc4dd8,97a2fcf7,483c0015,f793810,29bf6f01,7be37530,18b55e35,4250ee0d)
+,S(ea552caf,1d0810ff,24eb5089,31b57573,d8eca976,2b314f9f,38301b04,ff5e2193,68181368,108c4fab,7c58bcdb,5bac3a3e,31eb1b3b,837c7ead,e691b56d,e24aa832)
+,S(7d6132a0,9e2c0af4,9e3359de,a750551d,7addad6,8bdc602f,e65af48b,bc1127a9,5bf6234c,903e5f72,45b46187,9d780ffd,72aef438,c0b65c7c,d0b5fc2f,8ad29d16)
+,S(916d0d6a,3d08a94c,604c34ae,8c930edb,5ad57532,4dd5fadf,7a4841b2,775c475d,e3cd9b7f,79572001,a1ad9c19,2921ede7,64b12210,4d4d8796,a435eb13,d883d391)
+,S(804128a3,d982b50d,203135a9,c59449ec,c43ebb35,b2bf5266,6b710975,a3847524,bcebda70,4364414,dc269d2,6214968b,95ad5bce,239ca9be,f10fa1bc,d6f31757)
+,S(850314b3,4898b572,5898dd9e,f39196f3,cabf4026,8248844b,1c3d2f55,a3346f2a,eb8d17e0,3c9f7fde,29276d95,c20b657f,af2173e3,7c620a0f,d2ea7ab5,f4706b33)
+,S(fd879539,8c0ee90b,89aa731,a4ab60b7,be0375fb,59932879,7bd73390,58d7aa8,3fd62aa8,35d10f6f,8bf3338b,b48bbc33,8f235cb0,6bcccbe7,56716129,abe8159e)
+,S(51536953,12e7c4db,bb18ecbc,26c51224,8f841792,e557e879,8eda9db2,c9840357,175d3e7f,92ddce9e,5595fc26,725f2c09,fc322b2a,251fc323,ad3c6f08,44badaca)
+,S(8783f2c5,f7325f73,e5941ec3,5f91449d,558e31f,28af335b,2fde477,86aa2808,dc602736,ccef3e41,60b100a5,ef99c6e5,c59734c3,42b545e6,21d9b03,daf0030c)
+,S(c871ab31,4afd8d5a,a58a0cc1,a5eb49aa,f25b4b3b,6e0ffcf5,38851576,27c0726c,d06b7e2b,f44d36aa,fcf653df,a675bbe1,36a18938,60864df1,fbc9e604,5a3707fc)
+,S(40efd5c2,1a9807bc,b34a44,71066619,a2bba48f,c306293a,ab59d9c4,b30e9b23,85cf348,4df34dad,2f7aaee7,b8a6f585,4de1314c,215f6f0f,e5a38e61,f3decad1)
+,S(7feb5d9,844798a0,2413cae7,cd791e6f,54250fb8,12f998ed,e0ea6eb1,435986e,d90ca7e,8e800e6f,fd0ea027,b8a379b3,9030a03c,7b111d68,465d2a05,99dd358d)
+,S(1b2da7e6,f9fa412c,ec873512,7328f1e9,ea77501,5741a284,12018290,76a79b2d,9fe58682,ba3f6ee0,c7b73933,d14ce656,e3fe49dc,ec7a5643,efa07a3f,1a4f26dc)
+,S(d7fc1f3f,7a6bcaed,1a84e8e5,7127a6f6,37d935a4,35500e21,47e8fe03,d3b06066,29938603,d89fb118,14d33850,451f5c1e,bc5a5943,70c2d8f0,1d9bed34,f0b2e940)
+,S(45352264,1cd962bf,35d8ab65,3d8d6c97,75782706,1454a2ba,3d957152,e177ee5f,de5005a4,3989b6c0,cee0a71,b534137f,b946b262,bfe353c9,6a217c06,c23826b9)
+,S(91733546,dedbbc4,c7c32af7,760e0a4b,c2bdf82a,73e2a91c,2d70afb1,100b84ab,e60a6ca6,f2a5b12a,307cab41,8793b7c8,b7ecbaf5,18166c61,acee16ea,83071a3e)
+,S(26bcacdb,bd4cabe3,e7adc5b9,27465ac9,616725b7,dce240e6,37117a5d,80a9ffb,172208e7,6603837e,4a9cfeea,22bc6002,a5cb8f1,36d73dd7,ce30d010,acc05db5)
+,S(18b520f3,e997b5d5,46a1d81,ad95c52e,7841f14e,11e9d677,de918fae,7bd408d6,51b0cc1d,4c6ec5ba,e6c587d0,d6489663,dcf74bbc,d93c4839,6e4203a9,caae57e8)
+,S(e25c2492,b7b25c37,cb88da91,cd76021f,de8511cd,27188b0f,d4bb4fe3,dd845e8a,244facfc,a7dfe65d,6e1d1d84,9bec4e4d,17af0d6d,2611333d,b8b7498f,96c88bd6)
+,S(97e572bd,300d9649,b9de3c8a,b02d4ce3,bfbe4ba2,68844329,85971951,5c34a535,324a34a9,39004c24,b2e55e66,83577259,6c9cb2f,84378bd7,e77806eb,75e77070)
+,S(4d31f4b9,42526f1e,769bcf70,85f39523,60475a0c,3f8d0a4b,c1fd6a07,a4765fda,27815d6f,3b083965,8fcbb540,925986d2,bc6d1fed,d1c254e2,9580f413,99afa899)
+,S(7344c521,23968b7f,7ee12500,e9efa4c3,859a72fb,cb1cc9d7,af91e6b3,b5bbe152,4794848b,1541a965,b7527533,a6d43398,d619df34,2608021,a26bf9a8,76e0e4f7)
+,S(1d099181,8da474dc,38e08fc6,d97ac823,be34f4a9,81adee58,806f68cc,ffe1ce9,f5449d7,c69816bb,6f04b32e,69e46771,c7910f3d,77cee6e2,af75c293,119f729d)
+,S(84607e2f,ab205637,4b708486,51e84966,9c386eb7,c6855a1a,837c8fb8,5da8e7c3,975b5227,26e4625d,cc5c55ee,22dc667f,1fff7c4e,417cb4b1,45bcb3a4,53180ac3)
+,S(3d2ad8dc,11a9103b,2f03b3b6,24d93114,83f4faee,c4b9bc22,f4f8f559,16bae70c,b4f79cd7,27d433f3,72735afd,64ef4da7,de9ac35f,98b3b6fe,5de956a5,ba93f9c0)
+,S(2ad5f6ad,c7fe8540,8b9bf547,a564727f,374e9194,460f6037,ee299f83,e842c883,f613f0b0,8e306fa9,fbf39919,e3040d16,ede4dc6f,9d45ce42,e63f4b02,70832f9)
+,S(ca92aa9b,e8893819,e49fc29c,dc98a42f,e23084d1,fcc37d19,3e9c638c,db0f2f93,462a5ee3,2bcdca5e,c6bf6819,32ded511,12ca847f,7e110405,a893b011,874a66a2)
+,S(4e435dd7,ce2783f1,5bbded75,e832665,e4b4cb00,b50e2a69,d986d2b6,d3d893af,cddec0e7,1615f7f5,769cf2d,ee649723,1218fd34,91a07fa1,fe619f2,26673042)
+,S(b1d936c3,fa1fea01,e3e28332,51f3790e,1e0f0038,58656e8,af53a72,118cbd6b,183b67ca,8039f372,d04b685e,c515466e,8ca1fdc3,7b2ae8c1,ebc5fb02,9c0ced9a)
+,S(77282290,d994b6db,10b06247,1b86caab,e4524850,22a1e63a,682f92a1,ae65019c,feff37f,1fee0cb5,569db439,a7697327,1a2e4254,a9125ce6,cd94fbae,110f6363)
+,S(acd0184f,18bb7c72,f7b6ac5a,7ba3f617,c40e159b,a3dea242,ed8e6c23,ad89dc82,3ab71793,fdf23305,aaebfb52,982a2603,e56d7b3a,5430585b,557d3406,42fddfba)
+,S(933e3401,91e41c37,69b60410,fc0ac56a,e5bb44a2,413921b3,d25a52a7,14015cf4,ad3aa53c,76c106db,6187f4ab,755d077d,c6d878c7,64181565,77bd5d3b,affad12d)
+,S(6e02abec,969eb027,bcea0303,6648fe60,da6a7c67,d1e4df3f,a34c1225,36de6fa1,c0283bd0,9fb2bc2b,19bf5086,f1eb5c6a,a7dfa258,64c73647,8a6cf0cf,c5ed5c14)
+,S(2b86559e,82e5ea58,423163f4,448327f4,2429f1e3,14097621,667cf1d4,f0af1ab3,35bcfa55,9e2a71aa,4ea25edf,f9e1c59e,2274ade5,9354e22a,9cff37e9,31258107)
+,S(1c02f45e,5787587b,9d68df04,66df67c9,552301d1,3b32f50b,8c9a2d5b,c826606,5f5de968,b39e9263,c1624aa8,811a4391,35150e,f8167698,c381388b,18a232f7)
+,S(d0a65374,7fdd0c5a,68c55060,dd4ed734,34956730,1997d07e,d333b5a8,79894eed,272fe0be,bb192ec8,9f2f64fb,43f3a3,cceff7d2,cf92cbf4,4ddd8fd7,b104b85f)
+,S(bb48b81e,e0dffe05,b6b8d05,5e1d2e5,37481eb8,2ce2bb81,cfdfbcef,bca5c6de,717b99e9,63d59e1d,66c0737b,9843231c,9c5e1bfb,26820215,78e8e01f,9e5a3fa8)
+,S(23901c4c,625d77bb,1d390891,6befda04,522c698d,3c4e82c5,227c3975,3d7bc3fc,2434bb8d,98ebf9bc,42459328,464c4a7b,b26f258,2d454209,af66edb7,e84effbf)
+,S(2a150d7a,961b5c28,434cf4de,ab9bdd3c,d019f667,67437158,c0f3fc38,54de70ab,e0d4756,9cec0eff,b155d7e7,37ee49d9,863374b2,4c6f4ac,876a80f3,7fdf7461)
+,S(d42bd53b,1de9e41d,6e5ada81,3b86370f,ec1cfe1e,cc8ace39,edeccdf4,e16e7111,e3d4de0e,e5cb0d3,e3dcfed5,a09dcc,28c9f1ec,969d70cc,ffbd34fd,d0ceca5c)
+,S(2a865f60,413764f0,d50adde6,4825eed1,134c6875,d1712396,938cd8ff,784b743d,4b628cf4,8e2a56b0,2142bf67,8829a388,929a0c0,5784426c,ed114f21,ca1dfade)
+,S(2189b2e2,e88054d9,c71c2321,8cd229f8,a0165a15,650d1557,3eccc450,671817fe,6b9e0fbc,f9b9c354,644dd8df,3ec14217,66fb6783,5c698a1f,d598d074,aae79d19)
+,S(e619a8d8,d63ce9ec,7f11cde4,1cfd33e9,62884fd7,471a4e67,9b9fd1c6,8537fefd,d819f364,5438c886,915f46b,40fb5c6d,6932077d,6f9726d8,86b9ddc4,d5a552a0)
+,S(80c0df21,91bd2fa,2fa21bc7,ea86e54b,ee25d9ad,43893869,1cee20a9,b5792763,b27d7eed,198a695b,405cc3a,9204242e,45833ab,3b9feaea,f81db33f,938dde53)
+,S(cb3926e1,eaee7f44,6f2eb390,64d4ced3,cf8bfda7,9c54a25f,6894be15,61c2d02e,35d9e098,6612e1c6,fbc2dcf3,54022f34,5b2220de,139d1ca7,5dbaabe,46c69160)
+,S(82e82221,5dae0056,917680ba,a3233d29,23a2a0d0,68939d9d,2e2fe013,9aa2a8b8,f28975c9,b27352f3,f6a2972e,ef33eaf8,5d0d0a4c,673e3495,afb71869,e768bcfe)
+,S(6b48f2d2,d756c7f1,77d5d33,cf62e419,b32fe0e7,352e84d4,d3056571,fd837e52,d4741717,3212dad1,b476b8fb,7ace774d,fdd545fd,6f99ba1e,b701018d,f762ad14)
+,S(6cc8e1cf,ca1a026d,c1db0d97,46029b6e,b9895d7,61f66549,4f29cafc,1243b56,429b0dfb,ca05d077,d4d87022,d5ab333f,d9068170,5e246fbb,6861bd07,7e85b500)
+,S(fe3de551,3fc157b6,e5bfbe45,d88f9339,71ff5ad3,c436ca5f,21794899,33f01e9,a50a9cfd,8aee1546,c422c5e1,494dd42a,db36bf43,89bac501,38211c21,803be0db)
+,S(25140d46,a9453d6c,9370c901,6cb163a5,a5faf371,50152526,b01c7454,56b995de,6e00dcdd,82ee197a,3d5ca028,86fd7fee,56319f7a,925a39b3,becba6b4,c806cc11)
+,S(4b9c4d2f,bbd879a7,de69e578,a2ffc7c8,8a0c700,f27f2e7d,cb8e0c2,ba3654f2,4c876a6d,7778cd81,bb02c450,5867d448,c78e9884,c72af037,55a66d7b,848e248e)
+,S(2c11d305,3eb4b59d,8e8319bc,2b62624d,b97244a4,47326f24,6b83e959,5797c2f8,41e096b6,a1d2082b,c852782c,74a02cea,55dc09c,64b9d19,1265c1ed,9c306340)
+,S(9a515c26,394d56b8,77c2b70e,ba1745df,9322810e,63c379ac,1c2320bc,48baa2f7,5ccafbd5,d1dc3d86,4a7ac805,adab05bb,5eb27f8f,dfabfb1f,708b2e8d,42e097e6)
+,S(791a6bbc,91321ca3,6e017798,1a611cc0,db9d2600,34d2c26f,5f6fa5c2,ef7a5fcb,4cc5b203,db4459a1,f396cb31,acbaf9ca,18446f1c,cfded245,a3b32100,38417ba4)
+,S(ad40b691,d3eb6ee0,e22e6d7e,1e0eafff,7afffe6f,2e0e3b75,103001f2,3a9653ec,ff7b436,47c2e09e,84f90910,2b2abe7c,2d38dc2b,151abd2,4f92d214,5607cdb0)
+,S(52eeb361,405a56a1,331e3fa4,b854156e,7c403961,240f6003,135df1fa,8f3e475d,128e88f9,1f089e60,61d3df85,fcb2c50a,b0e67ec3,a7e5b3c7,ef1f53a4,5d5336c3)
+,S(fe1a5ff5,162731b9,7b4423d,ad1b5169,5401920a,6b1a07c3,6ae9a25,ec3fbd18,22076aaf,ee720a1d,96e0987a,c7bb8756,b04a6b25,ddf5823e,e2f93ac9,e54c85f9)
+,S(4c64f48c,fa628f72,b2897c28,4411684f,c0795753,60b8633a,188a89eb,e7fe1ea0,2eeabfd7,1b976ac2,acff49fb,bd029ef1,a42344c5,489334fd,393cc4a9,c305b4d2)
+,S(44cbb9b1,7ec26b5e,3489c17d,1da0776d,539d2efe,d9317987,b86225e8,77b4eef4,f5c58a8,6ef02531,bcffcd80,ce788f5c,e43f5ad0,37e940bc,70d8411d,27c32673)
+,S(2a5a456a,99eeea58,761c8802,7a86a310,63cdc681,b4ba0e2d,e5bce690,db8f3e84,7c3a47de,ce538330,49e998b3,4415c46a,2ac5c633,1a074e8a,8b4cdcc2,c6d1770e)
+,S(566c0ddf,ebb82deb,bc867f76,e2fc5ce4,71249a9d,1b659237,2bfbf9ed,4eb6bf04,76989cd0,e0ffe1fb,a5992e71,50272abe,8a483f5c,6bff023f,3e5e1265,3598bc80)
+,S(6fe42288,6d5d8232,4b229084,b1b2924c,b6c45080,3aa095ba,aeb2dd14,7b6def9f,b3b394b3,fc2682be,6e8c1e5a,ef2c87ce,eebe8d98,31aa60d9,ead74896,d7d9a38)
+,S(35b45332,b65703f0,4feeaccc,39e04e1,72e58555,db94f04b,1899d835,9abf996b,6643809e,ae897680,5e37891d,3a241094,27ad6dc5,48429a07,64e2e12f,e89c2d29)
+,S(17288055,5c0c5643,bd740b89,bbe47949,58ddb0e0,786cbc80,84d64ff7,838930da,f60cda88,7f85da2,3fa719f1,29aab43b,8b9a1578,53f91836,3fee5bd4,fcd16a2d)
+,S(76eb57a6,c2d7bb45,d6faee14,4ba7c798,2d8ab2f0,5240862,aaf32c22,77dbc985,ef7cd7e4,d10ab9ce,4551c6ad,18a3ac6a,bc851768,18fe0805,f1c6107a,5c8c291e)
+,S(1e5b38b5,81ad0859,454370f5,2f636726,5987e7b3,981af60f,a987c4c0,2440040b,d9817e99,89af200b,da690446,df5d8681,92808bee,91ba077b,400e8de2,712c2ade)
+,S(ee17e98e,12a9efb7,c27aee78,15da31e2,af0d3294,40e7dbe1,9783caa0,2bef5709,a78346df,4d7dded6,9146931b,f1ce1b6f,1aae295,50a877ad,5f2dd0e6,adb43e42)
+,S(bd574652,1eec6a76,7c2a14fb,15c85590,f7a19e12,342d09ec,67dd98e1,7739a81e,f26894f2,b8eca34,493bf871,dd6a133f,efbf1ab7,687a15fc,336d885c,6f5698a9)
+,S(63852cb9,391a1ee0,23947718,b27c51a,8f9a5d0f,2f707f2,d0afd728,6596aaed,9d7c8c01,102abe28,43a7cff5,a1b15fa8,b56f50ed,1a034963,2e867007,e946d639)
+,S(6c3fb2c2,d49c1c29,4eff674,158a3971,f65010ce,93f53614,ac9e0497,e31c296a,ffccd06b,98cb8021,589e833c,9c8b3b38,67850545,7e8dcf2e,775bbc71,47243707)
+,S(3c29a60,103f7f0d,6f9a186e,48ac242e,46a525e2,380c4430,609f26d,6c3559bd,9381e8a8,7b4bdf9b,361acf28,cbe43e1f,a8fb073,ae2d1d09,6df7813f,bbdcfe22)
+,S(bb76e94f,6f9ceffc,53ee4b3b,e27d99f2,d02eac69,8a4865f,9cb0293,a68c5eff,9ae48507,33f5984f,21726a37,c6ed7a79,e832af6,83afa20c,ee5d117f,63ab7472)
+,S(422fcd5e,d2774d45,6d5f6312,c716582b,c142fcd1,342b71a3,d729643a,d022b492,b6d75412,aa9d6ff8,9be3a0b0,17384764,35ad4408,b544b53,acb5ba63,119b6bc1)
+,S(328db4a7,9fff0037,c79aedeb,e8895e37,75b1e6b0,4d0a7a32,e2fcabe3,29c60dcb,40a2fab2,622ca3f6,39711923,812d8687,9d92b15e,ceaf5855,a970cf32,854b8970)
+,S(4269bd58,abcd5e92,c62b0895,1c5ae948,efa1c96f,39ad3601,5e28d809,74da818f,1d1412ac,57ae762a,c3918ee5,33577c29,a8e63afd,c33b69d5,e6758416,6ff87b65)
+,S(6c08ab40,97320e51,f3c571d,3beb7d7e,cfb690b7,af3d449b,50bfd276,290b8830,aba73078,edbed082,2164c850,5ca4bc58,6e53b174,83675f9a,26734cb0,747320b8)
+,S(f4929f5d,99d0a5a7,3d20a223,c84261c4,6a085af9,fae2fa8c,4a025489,30174c22,afc89b10,7a38c32c,a24e947a,d8efd761,cad69f7f,ce0d595d,d4cfa849,201f6178)
+,S(5cf5baf8,726c125b,e1499cb5,3f33bc0,37c983e3,b03f37af,6b48f3c6,29827611,17bd2e3c,d12adb0,5502a9a3,aa418cb8,c3809868,56d00c5f,319c34e,66074a65)
+,S(c4639023,b41d90eb,2b275a2d,b7ab632a,592535ff,b439491c,f0e4e692,8188904f,738e1a93,5ace46a8,fb4f6ee0,b9026314,d8c243a,8fe08f37,b23b9c11,11763de2)
+,S(a21b2fc0,2a60cae4,e694f206,1bd083be,5ed681e6,53af9271,a8ef9983,5807ce92,7f80d5e5,5a684392,939d6d1d,537919c4,99e799e3,4bdbb27c,b3d79587,f08d5194)
+,S(7841ddd5,80f9f3a6,e702b0f9,3e1a4158,5e2c10c8,fcf98add,2a0f6286,c5d285b9,4dabb8e6,2aef6506,392b0fa9,4e2005a5,ad03c4fa,5fb6de65,2e89b31f,6e5ed166)
+,S(5d5fccd1,378e4983,8d8b05d,41f89660,1b3a7c0,58df493e,2a74b55f,d8210356,a7e7b0ad,fba08a37,6fa3cbe2,75dcfbfa,bd0629ec,e8a5830d,d6993ec5,15ccf447)
+,S(7fbd50a7,360c09ff,fe55369b,fbf6be2f,70cc5965,340e0489,77e01b68,2ab6c9ea,17ff93bf,4fc95325,26caac54,89e22f4b,265f63c2,cf46ff6e,a5b1d387,98a9b72)
+,S(d6c8bc1a,479ea533,e99afda5,95365a32,cb1f3a26,72b4b960,2e039494,5b379061,cbfadb4,a6039cad,67ded1e8,8513dbf4,bb1dd3e3,437c989a,1df98b31,d234975f)
+,S(5753de48,683d633c,11103cc5,b1bb04e1,5a935e99,297c73f2,fe851d91,5d5ea18a,10ef5d7e,ca1580b7,31ed4fc,3cd606b9,e6af8b1e,dea8bcc9,b91d522a,af361376)
+,S(fc0d0265,b6cfdd0f,6b755a8a,c87f0ad5,b5a19894,5348c719,e9593566,91a638f,c5f31483,3c166c18,8c62415c,e58297fe,157fc6e4,b8e36b16,ce28cc75,df9017a6)
+,S(61570f72,5b030b63,def84933,d0d25039,cabc8853,e5185302,d3f2d3ed,2611eea3,b3edb685,379c0068,9e9f522b,a5ad9163,9df723b6,b5c3eb96,3b05e5e0,a4b8fa15)
+,S(5fa72a54,36b2b7eb,c15b34a,fefbb908,acbada63,23809159,66785d12,fbb3d6e1,1c027ed3,a34e892d,4b3d56fa,7a93ac18,663e475,a16a3d2,fac0ec90,be6d9ce6)
+,S(5296b2b3,9f179516,d3cb85bd,5b86a9fb,274da608,be6e95b6,c44267af,187e2371,728aa26,e5869775,9c392558,34d00992,73eb6986,5db38b3e,df87f394,31c75dbb)
+,S(b145c8b4,4c3f3c77,658899f0,a5b97c4b,dc2b195c,aa56b328,e0535217,88c80298,c73d96b6,47c2e764,e36caa26,8ebfe40e,c07b1e0,947e392f,be2a9095,7dba2595)
+,S(bb585531,3cd05f8f,7fc96d8b,6e5194fd,2a70ff55,e7a7c067,cfbf54bd,129d87c1,31ed0367,8d24c231,8c4295a7,90d31094,e54ca68e,47b289c8,45b2f638,64812607)
+,S(c6ebab34,ab48c0aa,aa5243f,c82a90e1,9a2012ad,74c925f2,e4e22f6b,13d6e5e,8107a95f,28e11f9b,bcef4b22,c4228c0,b530cdac,1c977640,53828b8a,15fc065)
+,S(92e6ec9f,83dd27e6,3be3b0bc,8ebc521e,d84219bc,177f15cf,1bc840d5,be2b551b,931aabb1,5b3479bf,994f7eeb,34871b04,81efa404,c40e063e,59aabb77,2553ac79)
+,S(280280ef,424f01ec,3fff321a,61dde1c3,4e674a56,7142c8e6,643ad1d7,e2dc4d51,84710eb4,5a88503f,b1078d06,26522501,fc165ebc,ce3b90a2,925ab1be,3c9ebfc4)
+,S(6326eb72,abc4017e,c3f55af7,6a50a4a8,d0074ce1,2f5c9e08,146682ea,e406d047,53dcc346,7b61d08a,204a70b8,7658e4b3,c4016c8d,b5f03004,af6b545a,60223871)
+,S(6e59dc29,408efda3,1bcd7b05,276b9f8e,bd9caffc,7f22c207,61f9fd0,a281ecb8,81c60999,45a6a834,8f2bc7e8,4ee002af,ec5729dc,aeed8187,87060c68,c2763887)
+,S(100b0cdb,ed05ba0a,fcfbedde,94ecb25a,5cacfb8f,bbb80fed,1a9d87ab,72e4b5d6,1ac27087,8d6764fc,ce5f036e,ea50294,cf38c4c9,1ca9c3c2,87718505,491e11b5)
+,S(95865771,e313a1f8,5629585,7ab9aafc,68a124b,6ae61f1a,a7b6e9f5,fb5de6b4,1c5195a4,338bfee5,9910935a,f5fa6091,7d06a2ff,3908fecb,b3fbe30,b0b52b41)
+,S(6962774c,9035ce5e,fbb8e715,9d381004,a1828d67,38082e1f,45307ea2,d1d60eae,e9c36d21,6a2acbe5,5f9f9535,bea4b38e,7b75a149,3a281e4e,11b19064,e282c036)
+,S(8e0fb8c0,d2d7977a,23f19efb,aec886a7,5170cd08,6a035386,ac784b15,9fec90eb,1218a3d7,6306cd4a,b3debd20,9bf9238d,ce00984f,47b5fafc,b715e2a,655ca9d9)
+,S(6e9ea5e1,127c4c60,a01cd278,ac1dc091,e768acd,41566200,47aaa32a,e9cdf5e4,bfad3214,9a299887,c74bcb20,33e01704,ace7c646,eb00dc71,fd1e0461,af05a6eb)
+,S(60fd55,9198e1ce,86c401a1,d31d04a8,fec7da21,4efd01d7,f2081027,1c49206,4f234575,cf4e6150,16ad551c,2f8e7635,3718b626,70ed30c4,a4c15e9a,488e0755)
+,S(d413c7fd,2c2bd34e,2ab3e871,38495543,3b5ceb32,cba0e9e5,1e0ce198,cd5ea806,b585f836,7ef44ee1,8e32dd1d,95d6f8eb,555d8e53,451e5d8d,1cfca993,b23e344d)
+,S(e26a95ac,c0855b56,b702cba4,abcf2004,c7343cf4,72056bb6,161ac077,bfecf98b,36a4834e,4532fa30,eb1caa21,c1572c46,efe4f7fa,e3c370b8,3f1fc221,632f8c2f)
+,S(f0541a0a,d29e3806,e2812aab,ac185a55,687e058a,eb17157,e00a1cae,5a9e3d9a,40e81917,4473fbbb,58d40f1e,ccb2444e,ca4a616d,b0efc710,8f887c09,dd04b4b6)
+,S(db1112bb,394f5e1a,b315f575,e2cfb59,4b83b599,6c82365c,c2095bdb,eb7c3cb9,c53249ca,30eb726e,6dfdb792,4db693da,f9740213,d87c410c,afa3ade9,51f9f688)
+,S(2ad80407,9fdb7722,c96abd1d,35e76a7d,30948c7d,7b1e62a5,ab0994fd,667103df,5289aade,9f71ef7b,dce049cd,3052f8f9,653a9b69,3876b607,7bb42d77,9829bbe)
+,S(7bcd5085,eea0f429,238c23bd,bc14017a,f8dde478,9d99b2de,325503f1,fcf7e738,7338f8a,7980de0f,404764be,7fb22578,ee820c6,16044f18,ad12d4bb,4b35a2a7)
+,S(85819e4b,348ef2b6,d141baaf,3297248,7f34b594,8d834249,df465fc8,29a83188,306e8693,e7e718e6,39f48a1f,7dd5d977,9da12288,ef3edc6b,74afb1a2,906f931d)
+,S(8d035a4b,5905b0ef,7fd9b050,ac1c006,2c0a8d84,1ab342bd,9444d101,92ed4a79,1ede85ef,aa83c466,4ac1cc71,c2d4027f,632f7ebe,2a097d98,9278cda6,35e2e0a0)
+,S(bdc84795,289c3268,628904fd,5d8ef1f1,a89587f6,652aa883,5e83c47d,c008c282,1d8342d9,e330c123,7e232067,6fec10ab,b19c0d76,744915da,9980a9a5,6459a61b)
+,S(75dab97b,d9e6571c,afbd8ce5,ffef58b5,72b6d8ff,838777f9,21834b61,1079c079,d048e6d1,fe2598db,31adfa59,8a445f0f,7f97ea3f,dbf8fe92,f2aa495,ff033bdf)
+,S(b2a4a872,4a6ccfaa,8b8bde86,64fef1fd,bf9d4edc,215f9f71,738885a9,af19b42a,9bec2c2e,76be8104,f2dc4ea1,3e1ec916,23baf856,a92863cb,33b2781c,35f9060d)
+,S(caeb3a77,35824f9a,b24e364c,789fe66,4729fe9,d6577ab3,f9cc857a,e1c2bdaa,ad96c92e,e91cf44e,8f0480cd,106b115f,23f0a30c,fd6ab638,86ee87cb,ba5ed885)
+,S(a897e41a,75e6bfb0,78c272d,ec320e70,13afb506,478d984a,b5532b04,6da0502f,136cff6d,896be55b,5da484b6,15a09e9b,13453973,79fe4157,64ac5b5f,35aab82c)
+,S(a33679a2,dc5080d4,a77fee11,5de9eab6,d32e6479,bd4fa795,3e4a03e5,3242412,1840b712,9ae52592,d99ee262,a56ae597,37e2202d,2871681c,6625de82,7c57819e)
+,S(3183fdb2,b5ad14cf,9e2ee00c,e23b2c42,dfbeab54,acdbf786,622a83f,4db62fd5,7501e003,2ba129c8,50c0f17d,2a16b3c8,602c5225,1bac7212,6d454cd5,fc35a92c)
+,S(aa6ac020,42f80323,ca77289c,88dc702e,e354fe1c,eedc720,2b87601d,7641b00,3ef01b0f,8b396221,8c5118e3,2168a6aa,ac901e02,5610db0e,8cf2ab21,bb06995c)
+,S(f952d843,386eeef2,64b1078f,d835308d,514bc162,559c8f3f,c8ab5c18,378b40c7,fab32d0e,850f4bac,9a4af6d4,7d15976f,2e6fcf3c,958a72fa,b8db1817,cbc5dedd)
+,S(75b58bbe,a5a1d00b,40f2fa2f,9e2ca8c2,eb568bc1,fe5559c,7e40ab8f,a0148e67,7fd6db81,7359736d,26883e35,727f4b21,2813be05,8d5d2477,1563696c,feaaf021)
+,S(504e2324,34a12a8f,a96f64e,d39a7c0d,4168bd75,1e0b6249,6b24ab05,eff49d46,3bbb93f8,3d2ee95e,2e2821be,c3d98f4e,1f2def75,b5f8ed09,6947c4a9,1c933ea7)
+,S(563fe95,1482826b,38f21deb,207a30d0,21271292,8b53c790,c33080b5,c4fc14d5,9b875a5c,70ee8bac,9e6d7225,1981c9f6,c3b5bb49,c8772243,14c4b287,e990bba3)
+,S(91ed3211,161cf1ee,96499e83,7baa574d,1f56b244,56fc1589,d61f4d40,dea01443,f1664cf2,578f5ff5,8d81c281,514c7f95,56bce3d2,2150db9c,6f4a4df,db73d14)
+,S(27526d79,f92c2519,838e3e0,a9ebfd02,f66e857b,d49cd8ec,6deaca31,d6064be2,9e4b644c,5bf8d50c,96892f3d,6843c94,f9afb359,55fb10b8,6a2f166a,6fa17f00)
+,S(3ad1833b,df1ab0,effb0dd4,d535285a,900060e0,f38555c,ffd3e7f3,392b5c07,5c37afe3,89bf6e88,b88c9a34,6ab5a0f6,2128828a,22b6f907,8f9bc6ff,ed5c311a)
+,S(eeda869c,21a8911b,cf713c68,caf261d1,e7fc58b4,3bdb0fb7,e83e677a,ec3ff6d9,f58e7eb2,3a62a9ec,f7a13dd7,b6b6809f,5cf8bc2d,22af477,e002f2c2,9c44d444)
+,S(c7a806e7,bfc982b9,342fd4fc,e8f34786,9509fb0c,f0f54522,98162dc8,ec5a398,ba895fb4,f9084463,3eac5226,e91a08c9,e83281db,c406ab37,fa3ffc38,421a3647)
+,S(c59586d4,ecde0cfc,3a1f5744,45cea454,aff18703,720fb4b5,1cd7b0de,de79c9b3,1eefa71d,5e67d9aa,15231b20,966951e1,93ebebf7,ae54ea34,e84b7c98,7cd853ff)
+,S(3b259287,5283a78c,5aaebc13,5ba13c5d,4e5a1e6c,cfa196ed,6eb7960,e7eed0be,274d3739,5757e482,1ee56c6a,f56c8acd,f58cb337,6bb5096d,2cff4e33,ebb3c1c1)
+,S(d062159c,e511418f,ea6e9853,b1e8d769,96c686dd,eef71443,e994a347,3b90e239,95ca957a,b37c702d,c707a3e6,388532cf,26cd3db2,64e4e9cd,fe0aec9e,77ab27e3)
+,S(12a2bd87,c4ca2337,7915bd12,3f39e88a,fd7257e9,9587d70c,a9d8fcd3,2aa7ce4b,85562f37,ac813598,cf59e427,106fe886,aa1a078,1170f14d,3968119a,9ed65e61)
+,S(9214dd98,2737e4b1,585b3363,c363ef83,b40a3228,53d6c54a,f5b1bf1a,a21e43a8,dbc49c6d,abe985f,d95202b6,bb925094,8b98bbcf,71486065,9b77c447,396e8eb1)
+,S(34439200,b0dd5b6c,4fe8cb57,2e26de38,3311a479,ee39ea47,221a179f,fbbc124e,b8c15197,1ea4149c,d2a77b4d,14cea316,6d70b971,a7f9ef3d,315ce741,2ad43e1c)
+,S(396b4410,cb5a59ac,15fa6034,7215ac8e,4ce3490,4dd15b41,46e90679,ca3128d3,ad4eef77,94f0c541,e70fd5be,45652364,c43e91aa,34683525,36c8b1ee,c061cba8)
+,S(8ee1b02e,3ddb0913,dc781279,6316fde2,4489c98a,4e4c3cfa,c84b4350,34d53d65,9a4686,a5241a7a,cd4295b4,f1c9f094,3f8991a2,b7edeea8,bc4e9c4e,47956cfb)
+,S(78f4da51,26b42e21,1d69c640,4e128c71,cd08fb67,efac0157,3bf128c6,73bbf6e2,b3836f1a,e397d7fd,c88d2089,6731fe04,6a46b2e0,b617117b,161e1e7b,3a2958e6)
+,S(ff5c1378,c8a233e0,5edeed70,e23bb9e5,a5eb65a8,4b37c6c4,7c0a4952,e00169b8,a7275aab,c73eaa15,22328118,68de268f,189d3adb,da113553,e3f9d36,7664a0ea)
+,S(18ff6e74,87ebb21,dc935fdc,265616bd,d3a4bc2b,35037483,c911f185,596a93c0,34209cf1,2710b007,821ba024,f0491e54,bade44da,5980f505,37869b8,b410d0dd)
+,S(3ece6ecd,1c52894d,90043c67,59d158e7,143c9806,658e8e65,5fa53867,6609b0b,4b1bbdb7,7ed6deaf,fba0d241,5f2b7993,89cf7df0,7acfb8a7,a22f42d7,7858c622)
+,S(a5356c78,6cdabe6,a1c379a4,ca18acb7,b41fd691,c32c31ac,6cd0edcb,9fdc5694,ab8f37e6,d19af264,58ec5b1c,78f54a4b,877c9416,ad76b646,7e91ca4b,24f988f2)
+,S(e5dffa5d,961253d7,f99445b8,f8d8aadc,5415c550,da64a987,ee604278,12de570c,401ebeb4,afacec6e,d41006e9,c60e0ec7,a4840c2b,c64527ad,80d640e9,70800186)
+,S(12c46133,4aa32bb8,465c1e9f,afe68d91,63a7a9df,e11940f4,593697d5,fd0c9140,e4fdfe80,be2fa183,4c32598c,a096a5d8,15386dc8,67588354,300018ff,5b2e0c2c)
+,S(bd8d9bdc,ebfeaaae,691a19ec,c20cca22,af76db4c,ee54f904,ee5aa8cb,2010ccd8,cd5fca87,4a6cc17,79658266,158066a2,840e61d2,28bdd4cd,f2697e19,7c6c994d)
+,S(597d8ca,babc10d5,5402f3a7,48987270,7cd5d3b8,3356ea13,6c8c5135,cefe3fc8,bb21d384,a48ed346,eadc6ba0,2b1e2231,7b2014bc,62d17fa0,9196213,6e12ab88)
+,S(3d91a096,24fe1048,dafae0e8,c693226,cb89157b,980aa490,a9a12598,e77d7c19,738fee86,ab5a6e43,753b22cc,d6a28732,65db5dcd,38a6be5a,6635e8f0,136340e9)
+,S(44addcb,55d0870a,19682075,116c8fc,d8f49b5c,5ef767ea,aec513fd,8d71841e,5e126cb7,8d13c0d0,55c3363,b236bba1,21cc5618,40e3cc3c,e100722f,1cdbdb63)
+,S(5bc89297,4447eb3f,54b7b451,6da3d1a8,f23d6d42,54ec7268,f3e9b2f4,78d88467,6d708655,6b679453,253df54f,68541560,b5e542ea,8f1a4a9d,a023d8bc,6baf9559)
+,S(8fe4f040,553ba9ef,47a0086f,a8dbb75a,2362af22,a58e0739,7c62d2dd,2ed2fc40,b2d0c561,5afbbe3a,18fcd594,a8e91e14,ac714af9,e34938f1,74a2c7d4,2028f65d)
+,S(e36702c,2af02461,4d5f65a6,b855848c,6d72709b,b3ffbb5d,f08206c0,9c481a27,c5558c45,9cc186be,665a54f,19ed5f67,983bc004,c1c196fe,80c57310,59f1505)
+,S(45b0165,d5eb9c2f,22c6f2e6,3f2cfaf3,5d4a71e7,460a41a3,9d3708c3,111387d4,8fcc8dcf,9eba288,f0183ba8,345c4b08,1b44cf73,b9df77cf,3e94c089,1e53cbae)
+,S(ad02f6e7,378d62e8,87d651a4,eaec6d75,9b15f4f3,b7e999e5,2e9e493f,7d765205,25090d49,2164feca,33270e1b,3b08ead0,fcbc7ee4,aca4b4b7,7e06d865,5259a63f)
+,S(5684c664,de3844ae,90bc93ad,426bbf69,5f349b97,6080193a,710b6125,3d6fcb0a,c5138172,4fb53812,9dffe038,7029b209,946a913a,cbc06370,b3b58f1c,759ac8f2)
+,S(cb36c4a0,f6d2beae,282e9783,2148704f,aea7bea8,af0abca,ac670a7b,3808a2d6,d0aaf774,d65b7eff,589afcca,746b02e1,edbd10b3,e2938d6,5a0bd17c,f71de58d)
+,S(143e1741,5da8c61a,959643cd,bcbd1eba,169257,2a935eda,1d0e2495,6eeee4d3,c12840f7,7a9fb642,50d19be1,5f35199e,1da83a3a,54fda063,99a6908f,87c9beb2)
+,S(b6292192,d471ab52,fee206cb,64bb526e,6b8519c4,3df9ae85,4e4aafca,d53c1509,3d6fb4ea,45ae494a,e2c4c776,29047e33,f73af147,4fd217c9,856d5d1,3b837c56)
+,S(d490352c,70551c78,9951a057,cb02eb17,fd710a0f,27dceaa2,ff224ec5,3c566a14,15ef3825,97ee6d88,ed8840f5,9d496c0e,6685349a,f1c62c27,a32eb7b2,bb193fb3)
+,S(4797be1f,7ae122c9,2193fda3,80dac3a0,fdc14361,110a2a3f,5beb9f26,f3d85449,9377f25c,591ca377,2ffcdd37,65ef9a3d,6fa7c2,79d18e45,83901795,2e5fa3af)
+,S(fcf5b790,98cff1c3,b02be521,76e1c6c6,ac10bcf,f083ae4,5d26ead9,82839614,8d94f596,5b075d45,a8f732dc,9fbe679,dffaf0ea,d2c90d16,b2c7ace1,1de05c45)
+,S(d7153203,1e8cf246,683ee529,b2dcf54,1a731397,89e5c354,3bffbf4d,f95f76f6,740af4a,40e7849b,a41c4dea,4b7e0479,ca377fc2,69db00f8,b484c7a8,c4c745bc)
+,S(27946ccb,dba75dc2,23663d14,2b56bd9f,2e63cbfa,73290de1,8fb7e988,31b44330,52c0ed5e,abb069e0,84fd8363,dcdb9134,364dcd4d,87b46025,9c3460ed,63e04ad5)
+,S(cf3ea523,751eff3c,a785884a,b019199d,2a0ccf3c,1d90679e,141d4e75,74e41f61,b38d0808,936a2920,ece323ac,a707e1e4,914b51e5,e54843c9,63abf292,88ef17af)
+,S(d06327e7,917280c5,d8a5c516,7e0d0c1b,e5fd9e25,4c877e9b,9ae6b264,6d9a126f,c3cc3913,9d0d7b8b,6a6b0c7d,b48213ba,eade2202,544dab7f,9ae42e08,fc7c781e)
+,S(acfc233f,28f98688,2ac5ea8e,61478f62,505b8b48,38833499,1ccad1ed,5ee2a871,244a188a,64a6aa7,9f74e940,8681b45f,88b5c65f,d120650b,1a25674,eabb338a)
+,S(87fb09cd,b3b8a514,f6a02da6,1d9b160b,798fdf7f,3f05d7ed,25c1c4fb,84b19253,586effe8,c4252dd8,c225a6a2,8e515abc,e36568af,107f8c75,a941e936,acbf6e38)
+,S(77225acb,8ae251d2,be2f48a3,2eff0c6e,4f558287,13dc8a6d,3c6b7bb5,de9538de,d6eb8501,2aa7fe12,285e28dc,3efe9cf5,b0cc8e91,6fd63f71,c28c3f5,60259a8d)
+,S(b03074f3,f2effb45,5caf88ef,e0eca7d5,6f901b18,fd04c01a,f0425c58,1f13dd5a,c8e8c915,fe06d774,8ceb2da1,78816b8a,4db1d082,6df3064e,7a4b0f85,ae99d461)
+,S(992278e5,229bad50,82c8c346,8542f91,e2761305,62a34627,b1d97aad,a5999908,56ef7d8,d360d7b8,5af0f210,161ad17d,dacebd13,c45b9c8b,34f1ac73,bd6a1ac4)
+,S(b73a2eca,5e9d0e4a,ef4f6ac3,e9610f3,1c72c67b,6a152fb4,82681595,8d44be12,c621ee64,b03b17e1,a25f27c2,aaea43d5,eb2918d9,e0949306,d2ef720e,8975c00c)
+,S(7f6dba94,39e3302b,e4f7e0b6,f2363609,eedb30e,dc0b135d,e4aef970,cbcbc607,61685e2a,eb8e8244,175deb0,a006b5c,4292bd73,40b2fa1,3548262a,db98a3d7)
+,S(88f0e36d,345aaeab,e8af18a2,d14191c3,8330c5e0,d4e32c5f,c562e549,cfad763c,bd062c83,13e44ed1,891b8048,2ee93ac9,95a0142e,e0543a92,a215735d,1e94ac05)
+,S(da3a270a,bc03e6e5,3f572a27,94c8075c,8ce4590,b1b626e0,8a83fba,45dab386,884b46e2,3ab44b4b,c3d09f5b,97994e4b,109f2db4,ee04bc77,6752fdc2,6f0df055)
+,S(df346699,77cd82a4,8e3e1b11,6311a5fa,3bb0389c,1c500fd5,15573af6,da0b2cfd,2ecf1fe5,fcec27d6,35c28d58,5fdb01ec,2192c8a3,848a72db,f53b7759,7b8b3735)
+,S(11a4dfcb,3a443c3e,259c9f27,e24ca426,6e08fbdf,e4bbedb7,2e6cae42,569b0116,7fc6c4cd,1e3a0e22,d0ee0249,d6940def,bd776bac,9da5a98e,23cb6025,42b3de9e)
+,S(2ffd148c,132eba23,e235bbd8,f09be1af,dcfd6e4e,5f2f0b49,6e4fadec,b931706e,6a4def93,52d875c8,31794fb3,6cf0448a,8c9ab5ae,804c6397,cec41b0f,24583acf)
+,S(109e1f3b,7043c5d6,fb822b8a,54c6949f,117e829b,4065c0fc,c3ba5e05,a79142f5,c976793,6c034671,e5aceabb,9b08f5fb,af3cea75,a7a4485e,6c08f7fd,a63786fc)
+,S(bfeea71a,8bb8ebbd,ca6135c6,26b739bc,eb2ada11,9babf946,6db9f4be,c7406610,44ff78f4,76074ac8,fd7ef860,cab01522,750fec0e,4b86f11d,831eecb5,22d1f682)
+,S(4d2b7cd4,6cb01842,46e7846e,d0572489,e306b370,81515cb1,8a7c6cd1,dfb51665,60ebb290,44169e56,1d10a8e0,a2971b69,82276f1c,e7d11f60,ad7decde,e1fe9c95)
+,S(66f2068c,e65a1a61,ad95ff3c,a2f15f55,29e0ce3,ad522dd3,d6083d5f,793e0e5c,a95bef60,2bb89e00,98723b4d,7fb421a5,b2cc751c,e8862ed7,439c1b36,efba2f72)
+,S(4908ff3a,27aebeca,8697ec,dd7d5483,c6e56427,9d78f013,129e26ae,2ff459df,4c5def88,b60cbb2c,a3430911,aa84e4fa,1055fe1d,921c8fb7,bbb83b45,62b0f5bf)
+,S(f9a90175,3a0f4236,dcb612cb,fcbf3f31,d97a8e6c,cc4f9e74,3887407,5d19ecb6,ed3c6f61,259943d0,310208e3,dd8d5a40,a5bfa646,35fca871,a6df79c0,830e24d6)
+,S(ffed50c1,2434484c,ae866c1,86b88550,b0bd02e9,db04657f,aa81a672,8e321850,f16e95db,d44bc7c5,66fa0a23,669827e9,9cdf4372,6fba5f4e,a3e28d86,33edaa77)
+,S(8061e9b6,2dd9d027,d43d13bd,1361ef3d,ccb4e599,c8d3d015,1d3adccb,6c762eb9,d33a9196,419b283e,5579ac98,8c1b6e60,378fc692,69b18da,a38f362d,20ca6895)
+,S(ef8d0e44,e8b6b5e4,857d3d87,c82b01d8,f254c516,fdd139ff,7b8d034b,45698162,8325ccfb,6da9438c,e99dffa2,92afddbc,e1a101a1,20955945,cfb1608c,d35e7065)
+,S(a31af5aa,cbc4f6ac,aebb9abf,de164046,1b631b2b,8cc43eb3,edb53185,fc1822e4,c3dbc990,691987e6,a8c318d,e381202e,a0c2297c,f06668c7,a2f027de,e5118a2c)
+,S(81e47ea6,b60a3819,2094e7f8,f7bb3f48,a839b26e,d2aee7e3,e159bb39,798cac0f,186a8c4,97ba163e,aa779f6d,a8cf88a2,9f5d79f0,43e6f195,9c14bb1c,b1a53967)
+,S(e15af4c7,8c61227,ffbf080b,a3b1dc2a,4966639b,926aae67,f2bec480,5c1fd232,76fd417f,4fe9e7c0,96db39ea,180d38ad,2360eac4,2730186a,b1da32c7,33fe9a63)
+,S(3a185818,fb47ffff,640f265d,a2c712eb,f7e022ff,67a21a22,a2e941b3,f72639e0,8d370a41,1f133f43,34534b15,655717f0,73293f59,3bd34c5a,fc5c933e,120e76f1)
+,S(18e05d9,2f227564,b572069e,18a271fe,2fef9d81,14eaee28,adb0fd2f,5f078e07,75f390d4,6e8f464a,d71067bf,b0d6596d,a945ea44,c7ede2f8,a9082440,d7e9a263)
+,S(7bb788b2,4f4e5d49,2af81fdc,2f3a0274,6eedc5a8,cc74d1cf,ad17c2d5,4e80a107,5b28450f,1cd8c61,2b73038,ae889c39,d33cd64f,d452ab5d,28810177,dbb6a28f)
+,S(a156cb3f,e4425b79,3334e19d,2b1208ce,5e6e8fdd,78748c0b,a1116031,912fb9d8,b2571319,c644e959,ba401415,3cba9b3f,cd8ac2f0,f8fa1f04,2d59ecce,5de14d21)
+,S(eba23049,f5228794,1651a922,f60bc406,aa15acd1,59eaaf37,d1f2cb31,e7d20b25,ac8f8df,155b2703,d65b33a9,af581a02,8afdbe06,f4927a4c,5546ab7f,b5b2cada)
+,S(8203a1da,56c4fb7c,96816507,f99a9a2c,950da51d,af7d21bf,123402ee,a95954a8,913884dc,10a53ab4,6b2be70f,5e2d201b,4c6bb23e,b6644817,b4257664,ed2ece88)
+,S(d46609e3,ec19ef57,97ef86b4,ec51b8e5,7a854643,f817e7a0,9be4bc7f,291e7795,e1b3a8fe,3cda0479,11ab8c09,ecbbabd3,ce96974d,8a309ba8,c38c1d04,ef730830)
+,S(1ffa9ab5,8eea8682,76849108,9e12ee5a,cb0ea4fc,e6f68436,377e985f,fabe919b,302140c0,7d64e9eb,6ea74636,f9efff59,e907a16f,5c876658,2f4a242c,b52f1236)
+,S(4032bf99,32057d1c,8b6a8923,1575d3bc,6e2d6d0e,e1c7aaeb,ffa9ebe3,bcd9a0e3,13ae5217,f9f70a4,5f626295,b30eba49,e9f7c697,e3ed7cde,95442a03,b7916a54)
+,S(8d32845a,14575fa5,ea061425,5e48e37b,f3a55bd3,9d924648,209d26ec,b94a20cd,e0416169,8f1e1626,18ce160b,e8b502b0,20a5ab81,7853903d,ad7ea792,b76266fd)
+,S(403754d8,1a0dbcb7,1ff4893c,a5551387,b73d64b0,25bb612d,5e2187e6,7acea8b4,134dd3d6,8d642070,cb7778c,7ecc8d78,5c1deeb7,2582e25f,5c58b19f,2f59256e)
+,S(4fbe9818,60e5f281,cb1afa62,8e8787d3,28afae7c,fcb73637,e2d64337,bd6e08fc,31a10b4d,78155900,7cec4099,3b5c59f,4bbb2328,b00a7550,572a604e,8d55b6c)
+,S(a5414064,747b2ac1,e8868074,3a0fb05e,7ef510a2,a48d4f44,4647663c,b5c48b39,4b3ba626,56cbe6ce,2f228f8e,88d00ddf,135d6b81,979286d9,ec41c81a,f74ef7e2)
+,S(5af99ffd,9f27830e,6ba54e05,63b3bd39,4bd8cdb5,764f78ea,b103405a,dbf3a01d,f625b35c,f510f9c3,db948363,3b2951e4,b2209b37,1397bdbf,1d899a7,400a4318)
+,S(7fa7dbf0,1b2fd3f9,3ff4ee6e,17115c19,1f663d95,ff446dc9,d53d3e31,c98026af,f8aa82d5,28f2ee61,1a71b432,d553eff,ff1aafcd,8bf18e3d,b6dfa38a,f33eff7c)
+,S(4838c0c,ed78e7c1,e3707d85,7311b2ca,6c7a4396,5be4e363,d4a374d3,36324640,4404fc6f,1a6c1751,3354d364,ffd43bdd,61b874f0,714430be,8a5571a1,808b5150)
+,S(309c59a9,b42b374d,5c88136b,43310fbd,fccd6ba,e439e7ce,3a9c5e7c,ccb8dda1,fdded8d0,661b8ccd,834e4762,db87640a,fb1e9636,b894dd48,e1b4fb54,863863d0)
+,S(1cc76e1d,788111f8,eeaed575,43afecba,548785d,3d66296,223142a4,7be59190,560e4685,6204121e,402c977e,76fac50c,446560a4,9bd2be30,c6dd2c58,62ef357a)
+,S(188e8999,b9de6190,a65cc051,f936585,9e7a0498,4452402a,3093b4cb,24116589,aca3c642,dec398db,81fab67c,d05ffa2d,948a430a,e26eaa0b,ec3b2cd1,20b01666)
+,S(2fca76ef,b917fadd,88e30d06,d6f398e7,6803307a,b8ac9817,4baa2945,9e9517eb,186c092d,95755005,4292ee1b,986b55c8,ee3be8ad,8adb6387,5e4dc582,c1105078)
+,S(41d690fd,b5eb4f10,8aac4bff,26eaf866,86489227,b6e59b89,25440780,10e3eba3,251f34b9,d69611a4,31fe9605,7be2e10,6d058db4,34e0c814,b0b8a0c5,f2e50b63)
+,S(282f850d,344e63bd,abc4542c,66cf1f1,a6807b1a,19ed7864,82d06a6f,a03b1e05,de82333,48fc960e,b22f5641,5265c1bc,be290ed9,4ee81fae,248d4676,d38a1a5c)
+,S(bdba09b1,c1810ad1,ab2f5da1,b628a44d,a8512221,993c83ee,4a9484fe,6416bd2f,7049aac,e507d6f8,d77587eb,b8759f51,1b7bb2c6,5de0481b,d82a2f82,246d229b)
+,S(e7e238af,4639d3f7,e5ec4298,65aade7c,c1127f41,d04b3d11,477456c2,b155a79f,da29edf,1e3c0ede,5546ed8d,cf8fa801,b5bf0dc,720a02dc,d9d706c9,a9c6bdaa)
+,S(53a635cc,4e24790f,3ec5c17f,f854e2a1,800b2529,fa882945,50a0d237,58d622f7,ae6bf987,2d3a31a7,4f97299d,2fbae146,58c32dfe,418ee242,2029fff8,166656f8)
+,S(10750fa7,df634f7c,7d8bd73d,e056e48a,50c413fc,282748d9,f4d0b485,d0ac5c1b,fdc72a01,883f0ed0,52d97ffa,8e6935b2,3f684f58,5e6c29b3,702f5147,dc645e04)
+,S(881e3e57,ed8f639c,5023e45c,4e843bf8,e7d13323,289f92c7,143faf66,a65c3fcd,12f991ee,3390b45b,af1aefa9,dcd20da2,5891ac5d,35073750,47836a0d,e75b4dc)
+,S(6be50501,4d72c612,bc0d5df9,13beac50,bafefaf0,aac7d032,824a102f,25bb45f7,4a0e0d0f,f2477287,ebd8c221,5bbf3e33,fff7194b,4217f9c7,57efa361,1b3abfb4)
+,S(2ca955ef,23ed3481,615d1f0,db0fe5b3,f0fe5f1f,1b7f96a4,bdf814af,c4a58987,2dffc8f1,ce4ceeaa,d09a7610,7ee08e48,a591a177,9de2c84a,765a53e1,808e3c78)
+,S(250da25d,5be3561a,92b56f0a,a7ab8fc2,bf7398d7,aca09237,3d416615,6991a05a,b0e62549,ca492ef2,9ab753e2,62b9c3a0,10df946a,99a982ab,812aa48c,def60c81)
+,S(57606839,4791a29f,b66f2314,73b6bc6a,ff383623,c889695a,910c1894,d9c060b3,bac9ea05,7285d6b2,7911b19,b32fec7c,1b25db58,ae39eede,f4aedf09,46c04ae1)
+,S(46edba34,d53e958c,c3e4e74a,ba8bb4d7,c6266aa8,9fe804fc,e27bb8eb,cba98e2e,2b85a88f,136b201f,9a1747a6,dc55f59b,41049a69,f824e3e2,f7f00787,f687aa6e)
+,S(5d4f6ce9,ac52d698,1a13e73c,3156dff3,918d5b72,5e42f415,a503e573,bd6611fa,4c633703,1de35eed,dfc5e646,e8b0f812,2b951fa5,343d7b59,ceaa5c85,e1ce5c08)
+,S(c77db927,f7e637fc,24a38bd7,f605383e,91e4e2de,8ba5b1ca,baed4376,8ae120c7,347f43e9,47b5d13c,c7cb6fc9,fc2caa5,2991a0e1,bbd4bc96,d98ff26f,1a81bc5e)
+,S(ebe2ccfd,ce91b78c,95cdd34d,79fc9a28,478c406a,224bfb4,668dd5f,197934f4,d7866df2,d346bd30,84ad837a,a0c65cb4,62cad5cf,3d23b0e4,bd260fbb,f4666ec9)
+,S(ddc5f94a,d4420ae4,8ece780e,26940338,294b8929,549fb897,82c06e09,b7935549,25802633,a0127d73,21ef0a12,a2a6eb32,692f2d30,5e7d3cee,f137eac5,8896ff71)
+,S(e4000918,46f79f21,71b299ae,6b93108a,9377708a,e7d3f5c3,147a98d0,95e876b4,c8d8c4db,8fdecd8e,fda047f,b92bd9b7,3c999493,27c491ce,df19718b,6152c434)
+,S(4add9850,90e16b5c,525de57f,a15a9c38,97527b6d,8683e407,3a978cac,53b29b66,dfa1601,d36d2021,6efe432f,8a335e2f,42b6d645,7fd6f032,d727157,32a85dbf)
+,S(8a5536ff,ff9c9dc7,b2a67823,5d60ad10,834c9029,bc243f3a,f10d7e14,4ca0a78f,72ee78e4,e0a618ee,191dc7fb,c1143e4d,70ffd570,bd50ce8f,d368ec29,c22bc926)
+,S(9f708795,6233a0e,59757e17,5a87e34b,f7a7485c,94f9aa62,61854b4b,3ac62c05,ff9902b9,6a6cd1cb,6ea35965,3527decc,7827318,97b5c8dc,c24e2399,fb16ff15)
+,S(bfa5d3b,e3fd56da,d8e70330,dccb79f5,bcc46cfc,220f4921,4cb8e700,e7cd0ae1,2a4870ce,aa2e001f,567ac21a,79eefe94,8763b5ab,c63fa649,8a5cffa4,126c6d0f)
+,S(a965e34,47f07286,b91df55,3e4211af,e6b837ad,a9cc10a4,905975f,1983f2fe,393bb45c,3f6eded,b6de1e70,5a706501,cdd10ea0,2548279e,c75e4dd9,15f0da2b)
+,S(e5e38677,c1e4a659,51358301,dbba1e3f,c44f5c23,af7011aa,5ab93ad3,c69b18c1,7939d32,de371524,c3b14f5c,745ea023,34f9222,31f29d8f,c8294802,b334821d)
+,S(473453e1,80511622,cbe6df28,46f479c3,b8638efe,9af11beb,21dd093a,24d243e,e2b897f,eec79c08,5afb9daf,c9ead107,57d21019,c655d0a4,e5254a69,941962c7)
+,S(fff734d0,e5f24c63,dfbc061b,bac37c88,ec5aeead,4974cefd,77f1eb5e,86219772,ef8a22bb,c29c9756,37c600eb,82ee5873,778d539c,a289a50c,5490b5cd,8ee0bfe2)
+,S(d0508f53,85f92779,809a1892,43a58f71,47f643a2,a8f5876,510b191a,fa292dd2,329eae7a,2ee52766,a5a2874c,3912d777,e23c4aee,390aca18,140ced23,b8e82d8)
+,S(93170604,98fb43a8,41d09d53,98807f99,23405879,be9f224d,52d21971,130fba89,e84fe72a,cd89fd4f,f7db1817,edab493,5f809b78,6d0c3448,f19505e5,a79e60a)
+,S(63634cc3,ce570dfd,8bf90307,f4543528,e26f2637,ce32d690,75cecd2f,63dd127,bd12dd78,7ebe0ea6,661dc389,5bdb6478,7435e9da,5812d06d,d9188b47,e1a31939)
+,S(30c7e2a7,925a47a1,5aa1e2a9,6f564e31,61b7a559,3af1a696,91088dc8,9ee64431,5ef4f2d9,cfefe53f,3dc76f96,1a04bd71,6aeca894,73553a0,1faeed0f,6bd2d506)
+,S(f7b7e1e,d56b7caa,74f60145,98c18126,d8bf10ad,c37cf1bb,5e6c88ae,f9f6e6e4,a019d45a,7e091a62,8b7125e,d3720f95,dcc091e4,2ff17050,da596fdb,58ebc508)
+,S(c6e9b0e1,177dedb1,2e19a0c0,d1167a8d,8095b2fa,1f2dc402,adef0cad,d5d87d3a,64440da5,2b3ec64,4565ad12,6f732ae3,c81276df,5ef15605,3318693c,91c12b43)
+,S(653d41dc,e6ae6cb9,45533e54,63b50a4b,72f6efa9,7884d878,52c32eac,fa0f59e,693da28a,13a9cde,d1b7597a,c199e00f,fac2f6f0,6bb0dc58,940b6734,e5eb934a)
+,S(b9830b38,f0f8d466,e363fe57,38124fd1,8c9f60f8,cdaf6fd1,a10205b9,5c7212ce,a3e31906,6ace61e4,ad861027,7a12d498,5c35969f,62e5573a,5bf4ac35,277cf444)
+,S(94d9457b,eb2bf3db,cd38a667,adda8750,f449af92,6a92fc93,f1dbaa85,457182ec,ff1bd647,8f00626d,1b203da6,992a2366,2ca2b39e,f6c1528e,956d7d81,7e2497c5)
+,S(816f295f,1648ccd4,360b1807,bfb9b05e,4a84af7a,140a1f2a,f4016527,1d4b5b80,98217f98,6ff6f38,1987db34,7c6d432b,f24b664a,bb47124e,641d0677,aa4ec143)
+,S(3b830637,17254b06,16c1a5e8,999dcdc7,cf3cac91,67284981,75c6909,92e2b2d8,dc2d471c,5323eeeb,611495f9,cb37840c,905eaeac,a85cca33,76d24705,d152acce)
+,S(33282bad,f48bba9b,3db3cab7,c3b46c83,867a63b0,db393ed1,2a4bf49f,cd2f7c5b,78733604,b1c94144,ab9a4886,80bc53ec,9d67c4cf,dc77af88,40bc3535,f2c42309)
+,S(58e15e93,95c3abc5,2ea68f94,6e3f7943,b1ddcc8c,e258aca2,8cd9f5e3,14b257ca,d7c15bc8,53dedf6b,f7dfad87,bcac6e37,f90d32b8,344d95a6,44879ba1,e170070f)
+,S(c9ee3e27,54e8c8a1,e99c39ee,cd3d0b50,f8fcd03f,ccdab94b,e503a1ef,b66d900f,a1ce86c4,7f78400,51c87612,1b26922f,2b4b2358,e302c568,da6310f5,14909db5)
+,S(6e2621bf,dcab8898,7d50b5ac,b27eb94,b52cfd9d,29e80d2e,befb5478,a3c5a514,ec4c657f,ebbe25bd,9d6b172,68ada77c,5bc4f32f,57f325db,9556ae0b,4d1adda2)
+,S(6e3c35cb,9c86216a,250ae256,f8ab076a,76264ca9,97b1a6e7,41ee96da,5cfb2c9a,d45f0082,46489230,268e5c99,56dcff9c,bf6a0621,f8978be8,f2183920,eef3dd74)
+,S(f3b5baab,882e20ae,b0f444e7,47688392,37acdb60,e7c878ff,40ec0aab,7896c278,7d8d6b2f,92addfcf,a248aa96,e8a87e92,4c821c1c,cf7b343a,f588ce7e,93e37260)
+,S(b89b2380,110087ce,8c8bfded,7dc98e40,3cada8dd,77b2e68d,120361dd,6beeca0a,616e00aa,4aba8494,9835b0a1,eb0ff955,6268d2cc,91b7672,d0164693,848389b8)
+,S(6659b720,1db6e160,58854e12,dd78b89d,40d91a17,b7eac836,ab8453c9,ee3cdbe5,5ac9db66,325b000,1983df0b,6693d93b,adf7e35a,a18f76ea,e2053e34,b1b8908d)
+,S(6fc76d79,bf3c34ce,afe73e9d,7a77af23,bcc7e894,dc555f63,8b9d53c6,c15803e6,c366b411,1d6ee57d,52d3938e,f2c0c620,746d636c,92ab73f0,bc812888,ef0b5ac0)
+,S(a06b2395,238326ea,20545cd7,b021a5cc,9e21e9e3,26c28b1c,fb50f3d5,e0f6e069,8560335b,a5c16aec,a297f185,ab09e976,dc57934,61170b35,b8a3b6b7,4ff622f1)
+,S(bb8064ee,177f3753,19e45c8c,4dcdda70,ddc4bfff,1a866b7a,ae7922e3,13d1515a,a3be84ad,274704ff,e7a76277,d87687ff,572633b,2fb46b4b,40f601a1,ccb98d7d)
+,S(27f08788,6a2c0ab,8f26ef15,a85d2d38,f6fb8cba,622acf21,77ac20f2,f05962be,ab2f2929,45163b83,c9cda8e9,4f6d8f7f,167bb589,50d4226f,827c5b5f,a782f8d2)
+,S(f51d558,dfd8f74b,7c9c3768,65f82932,65c1bbad,d8aa64d1,ebbc09df,b7f6de1,101c88a8,170355ec,ac23ac98,ab5aac67,7a68a94b,9343012f,74cccfe9,308c039b)
+,S(60fed665,a3ba26d,eccd1ab6,c956ed2f,e33da384,dc687f41,6c37b550,123a5441,4bc061b9,b2d7c63a,ac042a7c,efb2b5c6,a43260f6,8bd0f843,fa218cc2,3fc9b5bd)
+,S(fdb04aaa,f2958755,ed65f968,ce4fbb81,ccd8c616,32e9494d,510a7b3e,d2564256,afbcece8,c52725ce,c0ef2aaf,a094385a,831afaa6,7c4cdc9,57712bf6,1073990a)
+,S(7f45848c,cac04d5a,d9caa28c,e60628c,aea7f076,262689e8,27fc7084,d6b94dbb,51e16503,e044b101,a0d12d73,3a57d8c1,546c1f04,386721d7,a6f9fb15,458e41c9)
+,S(b4091018,4c556249,30ec006,95f02723,b9cef749,57996d50,72642d8a,b492c9be,1b3c221c,235e721e,95bdd451,f0f0fc8d,a6a18260,d47b0c09,5f3e1b1e,f6135e5d)
+,S(4d5b1a50,d00b83fa,93ab4746,3f84dc21,d0ff4559,2e697fa0,bf8e8f68,5e1c9713,da52a118,24ed00e,6a2434d1,ab383f0f,1e495dac,d08c6a2d,2425e25,a9434af2)
+,S(63fb80ea,cb68910f,69700533,8a1769f0,69acdc85,da71618a,9cc03557,1d4bdca4,7f2e51d0,4446763,9cfdc2fb,247c7cb9,5b8e01a5,e27e6bda,6713ba98,1936573e)
+,S(f5035d5e,12313edd,b0c31851,266f7e92,6f16c1f5,a6031aae,bd5e14fc,18304faf,7381fc4b,cfb33c18,7bb59e22,be95081c,6f52cefe,dd84bf6c,799f419,453f61fd)
+,S(f62c9afc,5a2cfec6,afd54b78,375a73b0,eb5a73b6,f53e24a0,6d1e9111,ff20e835,a5d386e,211845ce,9ffeb917,76a8b91e,27f0773,b2d53fb8,2ac44b8e,83198350)
+,S(7477749f,3824c134,c1a91bfd,d1b646f6,43f8109,c2f46887,22799f6d,53e6280b,232b459,2259cff5,99e4af77,1e03c94a,11fc32bf,f2598beb,2316d3aa,d9461c55)
+,S(2e2c5f43,5fcf4fcf,72f9629e,ef6ac5f4,31073f2e,7034d6a7,64af194b,1e84b6ca,cb94ef61,c794f44f,2c7d1115,b9dca665,7fd1c184,e30f6f60,caf40e75,142ee26a)
+,S(8f7e4f94,fd2a651,86e4624a,93272af8,2d362587,62a0baae,f65cf47a,bcd8214a,9edada6a,d23cf1c0,dd98b1f9,d9a83879,4c21654d,239f1a9b,dbace84e,de6145a2)
+,S(e184ae37,4704eed2,b054b667,33544ff5,6ce55a9f,bcd7625f,740b6a67,621c75c3,ea773744,2212bf1d,a26fd119,248b0c51,c413ebaf,75e52de8,97b4383d,b397e144)
+,S(fa47fd9b,94cb72b2,60fe208b,c022dfe3,a2bce2f9,ec776313,a497cd91,4166850e,9a12bbf8,a6e0ff91,5176f71b,16327c7,ea5d928d,816de31f,c8de2be4,57b0c185)
+,S(98d36e76,a4caf051,e848fa49,64e09bfa,815109f8,63cd5e99,405e64ec,d526c67,706b36aa,6e67352,8fed83b6,8118ae7,1e043964,f444c477,590430aa,8d80d19e)
+,S(e7722849,c00c5875,44751cf9,a88fe964,9efc05a3,4d810788,f30a2057,cc1d0c72,d64ba14f,978e1769,51951a4e,8431af78,57e6d97a,f5fc5ba0,2a1fd46b,1c215e7e)
+,S(93374edb,547efea,e5f22d56,acd80ce2,80e4d47a,bddd1d9c,9d85afe4,aa6fe6e,e9c40824,cdedb038,9b42e2e7,2e15009b,215d9080,7df6316e,6e81ec9d,40dbbee3)
+,S(840eb546,a076bf81,e4954196,6eb8c437,3a055239,8dc4deb8,62a73b76,8b380e28,97b69f93,ac1009d,a3f47ff1,b62ea845,f2900d7c,84e8a1d1,48d96f,df6fdb98)
+,S(fdc4ef19,59ca06ae,92587249,e45d456f,d7484278,6f4b3381,676094ab,446c3e8d,c832aa3f,f0ce9f79,1fbe89e1,5511e25c,6a7a4230,401471c3,7b9ab011,1b304366)
+,S(42abeb49,83403d4b,5f529eff,16bb991c,ce705250,5a61fd6b,96467a51,f661651e,d815247a,f807af52,b454e83c,9d46327e,d80d3ec3,60f84a3c,dc88b9b2,59efb05e)
+,S(176fc9a0,b44a34ff,fd652cc8,bf715a12,a9d5f40b,adef6032,24536660,5e0680af,a47100b7,e0fc557a,f5ca7dc1,c220b5a,770231ac,184f14f,57e554d6,11daba35)
+,S(11fa2a03,aba7cdd3,1940923d,37045c99,ff531ba2,a1266fc,26ce7a26,c6495e63,360c9e1c,54fbc823,9878d725,30254bfa,70453c3b,934915e9,5ea4542c,1026b272)
+,S(b2dda11e,db5f668b,8d90dc96,9d10f8dc,6c95a16a,a3e2cbb,3a1ccc03,d9acec22,f4d44dc4,8c260995,4fc1316a,2d5bfe6a,18ea754,43bd9a55,2b2f2f08,aa0652c5)
+,S(baa1d433,e2adc426,5f87f407,1c8c35ca,423f3e76,5a835a70,2d804593,cfc3f7b,3f55a493,9e25a77,8a9d3ad5,4ccccebb,8a45486e,1aeb817c,dc0a2799,6e70e996)
+,S(478f18c,30470c65,b578a6c5,df9c71ac,934e3439,ee5d5d23,21f8f5a1,7adfe55c,c43dccf1,9a9e48c4,41ebdc12,f2876cbe,32852cbf,d3bebc9b,a3708fe,6cfa450e)
+,S(18223de3,d62283f6,c440102a,a1769ac6,f5e1a0a2,cf3fdb2d,ec62563f,4e149ebb,57fc95f7,f8e3151b,80fa4e68,45349b7,961fe72a,d6ffe725,e3a0a0f8,907a4555)
+,S(2c8c523e,179bc8d2,1e3faa5f,5db5dcf2,cfcb0426,3f138cde,428746d9,94a17276,c3f00baa,69061521,5d512c97,aac1b858,40842fa0,d8bdc773,4e11d370,4f6330f3)
+,S(a001d77,af44959f,f1e83be7,d6b16496,2aecd428,3ae2c38d,f3ed3fb6,a0f12460,e68a305b,6f60a1ae,5a01eaa6,7675f0d9,8e6c5baf,75d725bd,d0e2a499,1c323770)
+,S(cd8a1d36,2ba4a2db,255ebbab,ede7ab7d,383b641c,515250a5,cf52a2b6,a5b2ea9,20716fe1,e0857b5b,55b836d9,39d3175,188a6f9d,d3cc42ba,8c61a7a8,d9a7a1d1)
+,S(7796adbb,7949b234,6df5147e,c3d7e0c2,5b61a874,43fea9f4,b4e742fe,6c1218a5,fc338089,c80c6415,dbb32994,cf5e2af6,b5c3342d,d291d7da,def80628,a904edfb)
+,S(3c345146,27eb74dd,88ecbb47,aa9933ba,b7fc8cfc,bd80654a,f96aad51,5c1a7017,cf4318c4,1c021c06,5c100913,dc84259d,2b8d6ee8,102e5c6d,c3f809a5,7f8f2beb)
+,S(cb4470d2,d5715339,acf391e6,5e3cc397,eac932d5,5acb65cd,a94538fd,eb684f67,15e6e6f3,383b8bd,1b674497,589ed7cb,e0f41394,e366ec61,b7e1b927,daa6434b)
+,S(954a527f,c4496d02,915f0b11,4e95f104,c500be4d,a61eca3,2fadde9d,c1f118f2,96acbc82,d0dd6226,5652b61e,226b7ef1,c6f00491,91bce5cc,fecaebd2,fdd28ed0)
+,S(d3be92f5,697a11cb,b8374938,9fe89418,97707ffb,24fcce90,16debabb,a4faa4ec,23d04ff1,e309abd2,aeac3159,ed9acffb,9c5336f5,517531c9,f1cc2dc3,a2d300bb)
+,S(7490df7d,5a7ca290,fe029f3e,d92f530a,23a7c983,654bf19d,5c9ee21d,b4f57586,3d7f28c8,81b259e9,f5f735fb,be608154,b80f38d9,b5131bd9,a6e2dabe,7ab2bd54)
+,S(992c4a82,1176a784,ba2767ae,a3d39697,5f96ea50,b7bc8947,2356fd98,20aa666f,519d9792,458fd39,7050829b,6ef7449d,da4ebdcf,fecb2a3,8ca0f057,f051c851)
+,S(f070e211,b384b497,3d2dac23,3373a3cf,6dc7b9a6,2529af9c,b2fb1e84,b40901e1,175cb1d4,f8339521,26d4b41d,9fe27781,92a2a1d4,7d5faa48,1e96f51,beaad506)
+,S(108f6113,c2795472,244db9f2,3a1002b9,349bd34e,f9c9d70f,e146df96,be198ede,2bb9d195,d087015c,253af145,bdd6134a,1845dd92,45d7d8c7,c12ad2ba,2027ba2f)
+,S(ceea04f7,9b611056,ed7043f9,707bb318,e3ad332,1da82104,9790b1d9,d264349e,5380e9f,1c52e5ba,6ce18afd,289f49bb,c358bb90,9db23d67,a851dcf,9ba5ec9)
+,S(1c74297b,14a4fbf1,2a6421f7,561c549,414147c3,2a683391,c4cc5eb0,79948cd7,581c9642,98232591,bd5469eb,c1a01be8,37bd5d43,cb63e21e,8540ee84,52b12ab1)
+,S(14bd0f2a,ebcbdc9,22fe8660,c63bf12,c6db8521,f1f0acf,7406e982,a103bdc2,46c3002b,1e5f25e3,98c8d7af,e340aab7,23ccb0d2,7e24bec4,55d547ff,1df59c96)
+,S(32c923a1,526240db,b234ab72,565d6880,b260e7a4,33747aa2,802da713,c30ae9a3,b79bdd74,6ce4ecd4,a554d66e,b787e312,a1ed53e9,c77cd6fc,73b1bfee,8b13d620)
+,S(af0ec2cf,21ecdfc6,a71c6edf,6f73ab6c,76600a89,86b62006,8b246008,7cdf168,d229f3c2,7db8019a,eeb8f25d,84f3e341,681de4ab,2173f510,51ef4249,7a9dbb0a)
+,S(1d648075,8273a9a9,c970cb10,5ae7e537,b017aadc,8be5044c,a1f6a3ef,4d2cb275,3faae8a6,87925e3c,e9c3482,d34c76a5,702c9bea,a307aa45,f2ee992,efd86387)
+,S(160ebccd,b4d5561b,488037ac,25224afd,91c66584,660af970,672d9514,87376568,f510b49c,b58b09f9,46001627,2fe744cf,e6e7abef,8f54552b,41b6158c,2ce2db5)
+,S(50867128,704795c1,a190077d,49a87c99,8b10601b,c37b7aa9,908ce92f,28969c30,106fc462,a115f2b3,e83a5474,7a692101,8c73853d,83d8a1b2,2b0bb785,bda8a896)
+,S(3ff4aa26,7e8d344c,ac75a46f,7b17af59,5d056078,fe860a96,573a8f0c,164c54ee,2632d1fe,f4b34a45,ac38a80d,236b51ae,de92fb72,47b81f6d,af1b9554,4d426d82)
+,S(739f875c,ebe795f0,cbb846c5,88c2b809,21468ec6,4ae09034,6032a97d,fda93c1c,8393a2b0,f3e68c9e,a57d5c8b,f8355d8e,71f4699f,201636da,5451023c,92a1b98f)
+,S(717bbfa2,b2c4818,ae620498,3506a421,8cdff59f,2e040521,764b8013,b688c7bf,9229cafb,e99cbcd5,3f73938e,82723d2f,e7187ca2,13d9e0a,57c12254,dbc7f63d)
+,S(cc0a808f,2618d1f4,27f165df,4412739a,6ad9af38,e8c25a2b,14bc97aa,1c5b0f7b,3b83d5f2,3d94aa87,9769c3d0,5e921731,17c345a1,3418ec3,2f92d4b2,c1e275ad)
+,S(4a0b31f8,8f82abc5,6867fffa,6deb20d2,d8e7613b,aff466db,b260734d,1ef8b1c9,375d7c69,83784dbe,a5bfa8c5,8f8baead,8e94b9b5,95c01d9b,2747a06c,5fb7272e)
+,S(52149a1c,53b2da97,f39e9dd0,23443cd2,b21e404e,b6235014,ce04c616,9f5d05a8,a9f9a4cb,ea6d202a,c6b5aa93,28f583c4,45db83e5,8ba7fc25,3eb43e3,df7f542a)
+,S(6e294aff,9e9fe4df,9345bd93,1229a7b0,955a3b63,fd19d1ac,57bbed72,50262b8b,abe6fad1,5fe423b,e1a55867,137c485f,85639823,beb6ab2,81dd9e1e,ed447123)
+,S(e9a70c2,c5e962c4,dffe24f3,8930e095,c2b0b540,cca2d891,2f6f5b4f,e4592e9d,8d115293,95051750,ccc9369,63b987f3,96bd05a1,49915103,1e47baab,358decf8)
+,S(e6c934a,57ec5422,5d42dbca,715e62fc,ae957590,52849f8c,b5f282a9,b82d4adf,6da738b2,40ff3070,bf0c4ac5,50ca5a77,31db8a07,20312e2f,f9de572d,d7b67d4f)
+,S(89b46ad7,cbcf1b6e,8741e422,ef53beea,49662d96,bcebbffb,57baf0d2,1441a0a2,b7205431,1798624a,3a1708a8,986ca47e,374d9704,22f7d3fc,57ca7f22,94913e8)
+,S(5b949cc2,69f0b0a0,c3b85fd9,e45b737e,7379a4bc,70d926cd,cad87ae3,4e7a686,7e54863,c1efbe6a,a98d6466,65057347,7291b068,a43f1783,9d02b190,9327bac9)
+,S(787baad8,9882587a,97b049cb,9906db7d,b909239,aa50e073,d476081b,4a73d7eb,8e3bb416,b57585f9,8b337b72,b23c2b9e,c790ef6c,bd397b18,ab78f8a8,cb662425)
+,S(58460ae1,5a204740,c375cef9,e447edc1,2fb6a0ae,2f8d18b2,8e82ba60,729c82be,1bdf3641,d16d89ee,378e83ea,302efb0e,2a9471ac,9bcbf1e1,662885a0,81c7780d)
+,S(c9bc29a2,1f7383a3,a90ed3d3,fc5f6d32,1697e354,a77173fd,77899d17,2012f63f,1c850132,db81d86e,e866d9e5,75c4f7b6,270599f,2e48c0b4,94317dc3,97d1043b)
+,S(d4c54b66,a1ff77b7,63f8c520,181e4ae2,6b82643d,758f872d,cddef933,36cb84b7,23e64d9b,f7456086,ce8b778a,194f8b8d,f1f0bf38,fbb8454f,d271d062,ddb9b9ce)
+,S(a947a90b,b27db3eb,8b4ca4cf,f947e587,54fe6a48,7b922ab1,9ef4b5c2,99eabe3f,c83e7022,f6e12dbb,f95e95dd,2bde8b94,3d72cbb6,5b222f57,94d13251,c9fb975c)
+,S(d83f6040,4099d448,8ec6785,131524f7,3e58727e,829b3d58,7d445197,cb367746,6d50285f,831e1173,cfd7de2d,d1c7c29,532a391c,3f450b7,f25e758b,f412a8a7)
+,S(75d60448,78902615,467175b4,bc16c936,14bb10e7,c9fae9f4,57d4a210,2d506a0b,885237bd,b4277447,fc7970c2,4e3e7240,ca24a07c,e46b8bac,7a91272c,ad9c5854)
+,S(1f96a542,2ea4726b,b639d270,17eadf33,43bfbb7f,f1fe9307,a20fb5c5,f1c4fda,5f80a9b3,ec8b0fde,ee914ae8,e6052100,77701a73,57829803,4cac5d44,91ce0a22)
+,S(3c0159ab,4f27b61e,c2599ad0,a79b4228,9000fcb9,ceadb440,24e1527a,f5ebb9b1,77df26bb,659283a,37abc70f,9f465794,ef3fb178,107ccaa7,a5404c88,a67a12ef)
+,S(5b250c4a,25293ab5,34f287a4,9f9f966b,7ebc1c93,e5a774f7,c98980fa,7980e07a,dd6c9c36,5c015685,9e1ec5fd,3a740d1d,7eaea301,2311d1,a9cf505e,7e594613)
+,S(20a6dfe3,71696c50,c3a7abf9,3341c41d,9d6d2111,729fe45e,f3ceb49e,977151fb,bfdd0224,fff97fd7,ac3eda1e,ec0e6f02,8bf7a3b8,23cb49d1,52d643e8,fef3d820)
+,S(915fe7ad,5840d789,b94d1bd3,2d555340,3c9152f0,340a5f87,6862ca40,19825b79,8d2f0ba,3459615a,2036a07,ca57d0e0,f3a4290b,f5fa7327,2431e3e7,bc44255)
+,S(d6aefb63,618e2fd0,34e4f17c,eb766d5b,c27c9a15,d796b16b,7cf8ba71,31a2404,f0abb6a6,e862f6e5,d71b062d,e9bb7b9,dfb2e4be,1c5a85a6,dd3e0c25,3617e8cb)
+,S(4c804837,7d65a97e,f65a342b,c4549e16,5cb1c50c,cd1549e4,d2d2ec10,c663882d,e1ec6bee,d0bb7243,a384e6ef,100e5180,4de6ac00,b06d7b67,3e445dc5,7b76dc8c)
+,S(3a6df802,f372b56,1ebed30b,a4740d03,d257d256,4931422d,fd3c8c1c,619847f4,d168c60c,9a86bea7,e48e58db,d8e6bdcf,b6ea7d31,d57f8996,70f79e33,241bc439)
+,S(423eedec,169fa4aa,52588642,a62ec6d3,8acf2ca1,c8098c24,4a56a6b3,169f9932,4887b475,7f27b4b8,d288c05d,3efc1d98,c0428b5d,e4db1cb0,6dcc4782,10cc6f52)
+,S(2864f372,8f8c5ca7,5dc56dad,8b968c71,a008eaab,80b8bf28,16bba436,78465be6,14f5e2c3,423f863,64962871,b786c840,50cc07b9,f537ddfe,cf81b95a,a276b813)
+,S(cb96234a,985e2ada,d8130ec5,472efca5,7ed7331d,ae7570c4,dd42f4db,9597ff08,69722bbe,5b367ce,5868b30b,31f67c8c,a5f047ba,a7f65202,48041458,66b88d5a)
+,S(3be93dc2,99b7e701,ddf0f239,286ac598,bea1ce42,f1e21ae8,1cdf07a7,66c1123e,8a9c69a6,6a475e40,d81b5d0c,7734cec3,40f528f7,4fa0073c,ee92161e,cbb92d00)
+,S(9022c43c,7acf3552,fed52d25,d25dd3f2,9aa61fa6,988a5499,6aa3626b,88b7f497,c514a46,f328c9a5,dc2fd03f,81ce3fda,915f1e8f,127348ff,55e4b5ca,2eba0e53)
+,S(a24cade9,47a24abc,a050ef7,f62d138b,85c96d0d,2edac403,dad58ff7,8a2a9d3b,a209613b,c05a7b52,41697e24,73fa7fc,412f8fc5,b2fd0447,a2e20e71,949cbc0a)
+,S(cb2010d3,94259307,ee3491c5,58efbaaa,203cef1f,8a0a1e99,67a4ff3e,719495f7,1bc5b6a5,b5acd447,baec221,141b601b,a5a3a640,7f84b8f4,319a760a,6226b0c)
+,S(fda8c6d7,c6302b27,76172f01,5e59da8e,4af1e96c,3bd05f2e,a393fb7e,1dc1ecbd,87ce1baa,ef24102e,19c7a17e,b267acee,7681d40d,705f7058,c514c9c1,f615e666)
+,S(b459fb13,5b9902e1,760286b,b37ffa03,ceabb618,e684823c,17ba97dd,c95ebdf5,6e35fbaf,b5175d3f,ac60f2db,97447cc4,a79c212d,5496ab7e,4b536ddd,797a19d7)
+,S(ec137d8f,23b119eb,a286af6c,583ef011,5d21f335,8a1a2df,ba6af216,d03b4a36,344fd1e4,869d68a0,87a1974a,d48b9704,5db2940c,dec017fd,a0605c11,8e5c7bfa)
+,S(8e0be401,9f2d3cb8,9ab07348,cae295c5,eb7fd7aa,fa5a83e9,3d68d994,af68e14f,542fcba8,51510baf,6f962401,e8a607c5,34a32971,22645ebe,2dd51867,b26c80d4)
+,S(b1dc8611,3cc18708,338542ac,698a6981,a6192261,7c1f71d4,3b72baeb,1c0dab03,f3e61423,5b683727,f1cca8e8,41de0474,e8c4da8,d2bef431,3cc2da5c,c4ccf38d)
+,S(d438b027,7f6c7048,c1eba2c,c1d7e554,888a7025,3f513261,3bccad8f,a5a0a9d5,fc419852,23f6ba14,adda0abc,389d2d16,4a910dab,b464232,298c2a1c,50ae64be)
+,S(5484d618,5cdf3f21,42235130,62ddf251,1f53a84f,f0fada86,602c4b13,3dea0f70,6e697180,33860802,6ff41cec,cea79f48,b695aa37,2a76d046,47603a67,ccf9615c)
+,S(8c1856e7,6842f5ce,82c09a82,4d343a6b,ac67ff27,f6d32de6,7117dd75,59df362c,70f78515,c4bd17c,23f61049,d6ccded4,100234ba,b7e1b9be,16925635,a9aeea2a)
+,S(48052022,94350095,8c904f57,54285e1a,7a17ff81,dde1f50,8586273e,40bd531d,7f1ad451,38b44b15,33327a0b,15fba2a3,f70989e9,1c271b1,461750c1,5044294b)
+,S(4adae425,86b0b95c,fc26159c,6aa0b1ee,dbbc936c,83fd6056,f2b730ec,14dc17e1,e6d0f9d0,bfec452e,3f2f9b39,4d73c72b,990f9683,b6004fa3,8e8831b4,f46f9d4a)
+,S(d296fd2,926eab53,db70b1d8,d5c999c5,7eb36987,62537954,2074ae12,af5844f0,b4472b2,c33661db,50b4370,e0ae7811,b16646bd,3f4771a3,113d677c,7f1c0cba)
+,S(1dbf607f,5d1ea26f,ee8e416a,52c8475e,a8363cde,6bebcbb9,bc04cf4d,cd19cd54,832c9d78,60c8acc4,5d00a568,2d28fe07,4952a897,619f8b23,42dee2b5,e20482d3)
+,S(12321adb,c5997830,8689b103,ec1552eb,679a3ae9,70ccfc46,f4adab54,f8dcb2b2,92dd316c,bef2864c,bd5002f5,ba052712,3f920db9,44992ccf,1b2f967c,b70d1f1f)
+,S(fa2c024b,76460eb7,a64d1e1e,fe059496,c28372c8,1d00cbec,9ea76f62,546642ee,5a848904,a654469b,dc3eec26,736d7677,ceae5fd6,d6f30adf,8c3fb95a,bd8e5d8f)
+,S(a77dcc2b,218b5acc,d6172931,91e8ac19,fa4d74ab,4c88b84,775d2f35,3f51e7c3,de872263,4e2ff356,7d9e419f,26ff51b6,c41fbbf,48124d01,8409a516,9735a950)
+,S(83d740a8,52a6139b,53b60796,50d64902,9f9fe35f,87689977,66246b2f,91e038a,1c630f32,722468ea,72bfa970,8a27bd9a,97b68e53,12b7799f,66ede01e,9c75b57)
+,S(d894b986,d74580bd,84b24a68,eba87e8,32a9c34d,bafc5717,cdc03c22,8758c9a9,f0d68c3d,284574ea,21a357e8,cad5fecb,90a57b52,62f6ee06,1868d970,458d502e)
+,S(67b4473b,3f1420f5,a8fcb39c,8671d583,cc1b9f48,e288f311,2af6241c,4190a786,14fb410e,e33f4a6a,3fe5dd9d,c30d581d,a350c756,6b513290,7f3ce97,29310b55)
+,S(24522965,87039934,a6927d0b,782988cc,b126b61e,db154f07,18d97d41,6dc8f0c6,538c4e2,a7e180e2,14e36785,6dedb105,f688f1c5,9bf81d30,d92a8a93,d3c5a82)
+,S(b47bdb89,b087a27a,663f9884,7ab44a64,43fc43df,bb61f4d2,bc5b7ff9,234644cc,ee508868,402613fa,1a200032,afacf672,9bb3f7f2,43b2f415,383f4067,d0212483)
+,S(92eb31b5,79ac7b0f,d32ac278,4f3d2c63,93c285c9,567bf912,584c00af,3be97d8e,518e379b,ea24a823,e725a3a3,3608e62a,7a40aaf5,318c2c,41afefe8,ec9afe7)
+,S(a5e06969,cd69f1b6,c30ab55,1028e1c6,1bef12b4,b2c2d1a2,572c3648,fc739332,378a3b33,3db8d289,667bcd98,9a3cbe9f,f20b08de,4047164c,7f4bf9fe,5d1f93b5)
+,S(604823c2,f1ab2bf7,eba63c65,610fe0eb,c958e8c4,7f509c8b,42b79934,7fbd9bc6,29f532aa,3707e872,2169a02c,210fa9f6,100c6b1f,926c73e,a3bd0427,a1844733)
+,S(1b4bde22,bfef0cb0,ec9e84fc,e3af2e8d,ce7f381c,e9766b1c,c1d5fd90,9a1bc891,ab20347e,3f4c7ba3,2bb773d1,50868756,69865df1,18297657,6c283704,49451f49)
+,S(10caa116,2067d668,5371a20d,97313b54,4d79b61b,3bb41a87,980eac97,e82f58ee,7ee4f118,32d9c2bb,1f849731,d779d12,571a084a,4ecbf4d6,128f33f,6af477e4)
+,S(71e7f07,513d42fd,5c0ad06c,c96ce17d,3542a4a1,a101e581,f7394c2f,d89e2072,e214ca42,1033650f,e420e574,e2266c23,3897de25,90dc3999,bee41181,db0a81e4)
+,S(fcbe392d,82b4859a,2424ecec,dd8cd47d,bbb89d15,ea2b9591,f5ff1067,e2cbadaf,9b06334f,6ae45d74,44b5f09a,995fd91c,a2712ac8,b159126c,8cc0120c,513f0bcf)
+,S(a64d9e9b,5c583eed,aa7934ef,a7ad036,8dc9adc1,9437f97a,7a16b645,cf46e262,9357dd,1aef4b07,a376b468,99692754,9ddfe9d6,7982a7fc,d607f02b,8a7158a2)
+,S(e634938c,aaa4010f,f4a1e760,d87a253d,5fd645a2,4f85a75f,8eba78bd,d876fcd7,84be5fa9,c11d8c3f,54f757ca,d9ec4e18,86e52db1,4b3cd0d3,97f666fb,f347d24e)
+,S(4640245e,23e6eb75,6e0a44f7,698c1faa,33ea4f87,7a52f850,3477ad4f,8ae2f4bc,ca2a72a4,1348d3f2,6a7fb977,d3106710,2494a982,a96c6514,7fbfcca9,1ed2225b)
+,S(c2a175c7,badbfe95,cf7db594,626a42d0,1247ebe5,160c58a0,2437fcd5,eed8c59,94814fe3,7692ad4f,ef0f4fd3,41c63f84,b282324e,faafbc59,38d88f4f,eff210e)
+,S(b1296159,d0651519,d76bffdd,98013d1a,bb17de49,111e3035,5f7a1d40,3d8d9148,ae3c442c,2dac0847,bd8d9052,a5470b9c,80536fd9,feb5f820,e4c54ac1,78aa44e)
+,S(d30b1976,b0867b57,84d5e619,a5a63516,13980093,5a9458ed,59e4a3bc,ab69b7c8,1b1eee49,690de06d,7a71c334,4fc0a647,133f2fc2,99a8f096,a8a445bb,27f5b96f)
+,S(fb1c3b4,5b0f6f0e,35b93a5e,ea157e60,134b00c5,38a6e429,301962f8,38fe51ae,cf79bafa,d7c3fb08,49e1c2cd,48a90ae4,af507bba,5a42f3fe,bb1e101d,7f5fb818)
+,S(2bc4d2c1,d34c6d41,9d97ddc0,c758fac9,ff6489fd,786065a3,61ef442a,fe37199f,5b932f15,9500ef4e,a331be88,7022f42f,5148c54b,30957b0,424a168c,c6d76ceb)
+,S(2744c1af,3459c35f,d8e1b27,668ac653,eb25f017,e4fa15d,6c1a6bae,e50f3a99,12f95a25,a87e482c,c647b1a9,f22286cf,3297a354,4c7b575e,aa888dd5,6db2844a)
+,S(6429f3ff,d37b53d4,88024393,d3a9dabf,f84e3974,ef60f446,61ec9da5,efc736ee,e8426421,f15768f0,caf020ec,3999e8d3,a1aafcb8,24339574,fe119500,a168016a)
+,S(33c132ef,437e9dd8,ee9c028a,2ad51c9e,5a836eb5,4bd97e5b,4b5b6bcf,38d006af,e2527602,e5e74d67,5a5115cb,9a89c579,c760445c,c70d95f1,9ac82a1e,6ca16c6d)
+,S(3ac856f3,7d53e19f,f6ab49e3,94da6ed2,c8645e65,f4666bfb,163778ce,7cd910ab,ef40efa2,55d7a5bf,99e39055,8993f753,8fd203d6,7fdfb7d0,81cf8bc7,947cafcc)
+,S(5ec9648d,b58770e0,314217e,f090c776,396f47e8,ba27c30b,98c35955,aab03247,3d3402e0,8fb71448,6ee97fd9,15293e53,b095fe03,9cc3100f,21240a24,d70819b6)
+,S(54955c84,3c5dddd,89f60de3,828fe4f7,1666d807,ff88006f,b46c37bb,8a822645,c8745950,64b3c721,9eda8253,633deb6e,ac9a7825,8d1de2e6,c2dee05c,f167405d)
+,S(e0e845f9,35054008,fa44cc4f,1f2e538,33b58e73,bc6a04fd,c16faa76,c1a92d3c,edc48f46,2a41dc1b,bc604e0c,82d993,edc2990d,f59fa034,11702d86,46dd1c1d)
+,S(bdb43235,19acce9f,b95f83fa,485940c5,69108af1,376cd09c,884e6419,718ed14e,5669c5ac,84bacd6,eb6fa8e7,39da1196,dde69170,f5d4e5c6,2ad528,66b6d9a5)
+,S(d208bcfd,f9754dc6,7e099754,983fb58d,e5679bda,96d8404f,266c0e65,9e4160ee,c602f6f,f0f586f6,7ac771d1,fbf9d807,c2edf68c,a2c10cc2,314221fc,cd3007ee)
+,S(3cce9096,450e620f,29b2446,39e8809a,39000315,a887d6e3,da141ed3,32b1c30a,db0ee91,b8447860,18289da1,11b3bb62,289d21f5,2aa8f436,562e982d,bab44be1)
+,S(6c351350,d0fa9ae6,e1723848,33e654a3,f3f655de,7530d9bb,59d92462,1dcf8253,2e5ea374,7a368904,e4cc663,feaf6f92,4060dd70,95bab9,ca2e0773,4c48df83)
+,S(c64b42da,d63cff5a,ec1eb168,41fead6b,3dbcbd97,f6786efb,5336da16,35950d2f,73706863,cfee031e,3fee4be1,9241cd94,42c24f4c,c57faf70,f8ff8b81,f094ccef)
+,S(c4b99a41,7b2277a4,159bf3b4,859e36de,399862ac,70ffb482,b92e1b11,99c748d4,6ae88f86,1ff14b38,b545ec86,1a808c5c,cc78c3e7,91b48f29,350afe20,9efdc33f)
+,S(eecf955a,f1ae50dc,44b57715,5ea67ae,1ae39cf3,fd306eee,e943908b,a7a42a56,26c9e114,22cd3db4,b278adb0,8e4c16a2,1a4c0a9f,b837a493,6cbdb70c,65fc5be)
+,S(454ef33b,402e3a59,d437925a,b62100d0,974abf69,8803c04,436b4d2d,5a5819c9,4a38e398,1e1d9809,72df7faa,b06bfa96,20fe213a,36ca0227,c7c20ca9,2ef31563)
+,S(50f11935,c20dd410,7a2cfb65,2c94e39,8df7d985,c183259a,70f6a04c,6ac5734a,aed27454,75f207b5,dc1e9f4d,f8cf1108,c9507b03,d0e889d8,d33ebfb7,3b10e670)
+,S(43bfd366,10b67773,a254a077,624c2b53,4d8ded30,bf53e918,4f10e597,e2edd980,fd0655e2,e6b257ee,a249a5d4,299146d0,e08653cc,cef19a88,5ad6b33b,ae8f345c)
+,S(7ad3c8d8,85cacf19,ed6aca96,4607f344,91448d7a,651fda8f,2446686e,bd06a9f3,9cb921c2,3e338436,73fa1bd,101dc4f8,a9a714ad,7fb91057,dd5af779,835000a0)
+,S(874346d6,9cfbfc7a,2e13c605,baa69c5b,d39bd69,36841594,1cc50cd3,18c17380,35326549,dcc29eba,4d35a559,e8f2f0ba,b4d94ada,f2c18612,a45c9c90,8d99ef4f)
+,S(1001f64a,23afdd92,789390a2,bfde9ae1,d85737ce,3e5087cb,b1bf2d5c,fd0e6943,184b6a2d,ebd086eb,6e04db54,2146059,e6ee341d,1c8854e6,e57345fd,5dd237dc)
+,S(659607d2,68695906,fe752434,a229c309,60b33825,a41589d8,6e663230,c1610fe3,77005570,df191869,38a56d95,4643d991,486c70cd,3d5c336e,11a9667f,fd8f7862)
+,S(eab041d9,67f89c37,c04bc6f5,a9059d69,a53e5fbf,ef7c17e1,7cef48d7,e346abbf,a2c2fe6e,63e38c06,477d2821,d22b4a0e,4edb0b55,cb1d9fdd,6cd01ebb,d8fa51c9)
+,S(4ff2394f,377db94f,e96f51da,d7364407,ed6bc1d9,3822f24,91630c3c,abacda99,4a77b936,a42493f0,d739afce,b769c7ec,cc0d4720,93e839a4,330054db,22e93b31)
+,S(7952c74d,e0576ddc,c85f42e6,24937e98,1502b2c0,105b69bd,4e35f59f,1c2847b2,e7159304,dbd9183f,3abde60d,5ad65ab,5a4972ba,19739b65,1d50c056,ebdd5b81)
+,S(b3149a8e,f602b6a3,c69a769d,893d561d,c7438a74,bf47c2f8,ba07941d,b0dd214c,99e591f2,2f8da0b0,c9d7024b,c82d1031,cc4336e6,bf1436a6,bf03bc11,3f041979)
+,S(ac3bf353,ce672165,a7e736dd,632c7018,1e454200,77471380,7b875d3e,c81ead58,78def098,2f0f5936,5f5c6519,1857463f,7376ec93,f15c01c6,980d352d,17a40195)
+,S(9edcef9e,d26ac408,61d3fdc6,66e09068,a9b1e05,cc23202e,1d0b6e03,faf546de,b1387281,71de9aeb,b02b5290,d3d56d63,b6c98c00,cecf8b0b,540f70a3,79556f2b)
+,S(fd48622e,8dc91972,7ac21c30,c0fb8d02,d8cfdead,dfc39a22,59853e17,5d8e6d26,4bf26514,204912d6,8bca0ce6,71a967d9,921bb882,33099b76,7a056967,3fd42bcf)
+,S(e6dc2ea,c28def67,78b0a351,6ef0f4b,104fc7c9,88a03a46,8cfbf207,ca0ae0e8,d1892329,e77d5770,d9a84e59,c2d6f6e1,db6de419,87c5e3a0,ea508ea4,a11b3762)
+,S(e8ff8f65,559128fb,3fc52650,ba063717,cd2d140e,ed3fc4a9,10dccaad,bb0503db,f35c361a,8ea9b3a8,139676c,3ff31cdf,5511535,7859e5f9,3590302d,bd21e21d)
+,S(2e18c597,d4e4a4c7,d54bee9,215a1ee3,d149dce3,25cdc4af,f62a3da4,1922c2bd,3e8595ae,4b6cd57b,7f685a75,87ed61a3,281b52ff,d76e9126,4a0f0666,701c5354)
+,S(589924a1,2cc867c5,b2289f81,2d93f324,c2df420e,3c948bbc,e74b6bb4,6d30f262,f9bf3d02,cd0001c0,bb9558ff,515ee86f,e39d4357,fd39cc3c,8ce73c75,72850466)
+,S(ef55eae6,4a07199f,1a3f3463,5007a8c3,8d39db17,48af39cb,584d4471,d3d32e18,9d31abdf,91bfedda,3c1f02a,aceea672,21d347f3,5d355042,75452c91,5f4b19b5)
+,S(7a8f75a9,41182eee,49883295,56588c86,3021548,70ecc05b,31b83a1d,74be05d0,bda4d0ac,ac72ccc0,c07270fd,1c2bba00,4cc9ce5a,fc927f,6d4bc0a9,b2fb4a64)
+,S(330f8a4a,582dad9c,159e0f9,a47101b9,223fed7f,896679e4,f764b02b,3d1d9eeb,50695f30,f9dc9c75,6df20cd9,aca3a06d,7199c138,4b3ede52,2dfa0816,31fea2f7)
+,S(6dd34c6f,b89722cd,182cd5b6,a0d83132,56814bc,7ff147ae,668618e0,30bceab1,8998216e,8ccfeee2,78e5c0dd,e206d3b,1fe058c3,990159f,be3beb2a,2a97cd60)
+,S(66c2d4bc,1e1ee63e,75481e23,1e6df60b,82c73758,36d4c9e9,fa99a576,304ceb8,f6871e84,fcb56780,682bb226,a8d2f46b,89cf516a,7aa0de01,2ccd981a,b739244c)
+,S(560ac5cb,b9a55c0c,8bd6a36e,9dc90922,9297a452,b83f8db0,e0899577,cdb8d04d,b6255568,4574e609,ab7dff47,938008da,5b11adaa,480becaf,287f2216,cf1c7891)
+,S(a2377a79,e597dffe,224988b1,63ca63c6,67827b81,ccc645ea,cc23ddb2,2a1503e8,7663e301,4dcdbd71,620ff660,426581cb,7e723605,72b651a7,103faf36,480834bd)
+,S(fac987,e1c77065,bb1eeec0,fdd92f05,5d10e738,befbb155,152bde06,87c7fadb,c6fd2faf,683f4e87,77a6166b,59c4b93,e7f5d803,fec49ef3,29e1a4ee,9981e803)
+,S(81ee9f52,9b5c6b11,8fc6ec23,88f3ecac,4120f8ec,d134d22c,f809e2cb,1e88a490,e8bba906,3a3ba848,7bdf4a82,c5014493,40da0e2b,fda93fc2,b6440b50,d24536d8)
+,S(e6439a0d,545c7431,cd8321ea,420dd3d1,9932427d,475df712,529bfd17,99dbc4aa,6c86e739,b6d0f23c,d3570bc1,86fd9e1f,e617fc41,8089f2a9,d42d0b91,2b4c8d39)
+,S(e08169e0,f7362908,a0d207f,bf49a44f,5839c76e,7ad80a74,44e7d24b,573f0bfd,948ce18f,15ef6e2a,23f2db47,db402d38,2a4a3cc3,a8a3756a,c382cba4,f608283f)
+,S(5687e6f5,7b2bacda,eafe58b5,94bc322e,70c7afe7,884ab4fa,4d46467a,7a8ba729,994d9091,e432b4f6,72e7f711,b5e0a7bc,b07fae10,b6e05ca0,5a088cc6,e4d89d80)
+,S(6edfc830,82a178b0,d9160f4c,f0b01004,65c29bea,e3c29d31,e3826aad,9fa1979,5f4c6676,3df8ac3c,4490ec9,fcb0695b,e9c0532f,df526e83,f27ad47b,5bfff2d9)
+,S(28128135,a17d0e29,4871831d,2542c2e6,80dcd79f,6b4fafc2,722b7db8,4ed449ef,4f7e515e,b5c7eb7e,415d7b02,83ff11c4,8f3f3ce,a724c476,71d02d1,50835702)
+,S(f55371f4,2d617023,dd5542fa,db9a9127,c16ac04,1545db5a,a18cdbb0,cca4cacc,d0c795cc,54057d47,5bd080a1,acbe6881,3263f593,917e012c,dc1bdafb,920b3ec2)
+,S(10fffd7d,a62de848,c07b50b9,64e3b31,ee6a13ed,996fe92d,565cc54,fd0b7c1b,92107e28,5319ce07,61e5f212,5724f2eb,fc61498,f838717c,6637c7af,8f0fee23)
+,S(a6a73f68,bcb103c0,523c8f28,f14fafd7,5b8d399d,617a68d4,6ad0a1c8,6f12a46c,d18efb60,37f40a9f,6567c993,24f3a7a7,543fbc30,feec0252,87dc862e,b22fa279)
+,S(2984cd0d,5c4f1c06,3854d233,6cdfdca6,50c94275,975feb2d,1b0b5bb1,c7dda582,41b0a86,8064dfd6,5c2653b0,27dfcc75,50eb755d,7c1f5c78,b0c13493,acbb4db0)
+,S(a701d075,7be9ff89,67c67622,dfa8ff9f,82f7d5d7,814f6c29,c73045d0,c5b16589,ada61af5,62851c60,66501019,70953ba6,fca0d99f,42378b8a,5059ceb,2a0835f)
+,S(f07463c9,c37479e8,259a32a,a2e8f283,27cc267b,95aec8c1,1242a092,bf4c47b,1ae9bb16,e538ff69,1e9ecc98,838e112a,a2016657,c7af104c,ee92471c,df6cc136)
+,S(fdec5a71,21a17f37,b4c2e93f,56d910a1,788d2da,b3cce509,b3e2f3cc,f141043b,a62e32d9,336fcfd1,4bab6cf3,26ee3f31,4d2ad023,430768ae,8f093408,e3505d90)
+,S(be32f9cf,9a13d4d2,652d122c,c0ce07b,da21fc85,52c0808c,23dd5a5a,9ffb3599,a4a73b26,2b5f8239,e8c279b,20f79c71,7ea47a64,1c084f52,f1bd4f3d,dbcf9c43)
+,S(735a1f6e,2575ee01,9ebee00f,a4acbcc5,93bb6572,c4db9505,bf96a2f,43b66f38,20b1c7a,99c6cfcd,58b3f00a,3f9d7739,f9cb682d,946b33c8,879f041e,15e198f8)
+,S(a0b840b0,6d92eb95,4f029204,1229b9f0,f1838bdb,4ead7432,4d8facd,70f7447c,383fa2d6,47d88c1b,fc9b04a8,a27b3a99,1a22b82f,7c99fce5,5cf30855,ed1c22f7)
+,S(3e54abd4,36a9763e,52b7f46f,4955a339,6db284cc,77d0b351,fee7a568,e4774c83,1c64ede4,fb372325,dd435f71,e4dc914,391da9f1,ee08a21e,2eb5ec18,2834b0ab)
+,S(24675c97,67f69242,4e1d43e3,1c46ecf,b418fe9b,3fcdb495,822362b,2a8adcb8,9e38e08a,4359dd9a,a9ddf4c0,8fd1147e,c70ccf1f,8855cdbd,49f44dcf,1edcc36d)
+,S(16e0176,9f5a5c0d,f6db88e7,fc95419a,96f836f4,f8255a96,77ca2710,2330e317,30641d0b,fbf7a1de,24c72692,b7032355,6996bf3f,1b541dae,d6ccfe8a,f847646e)
+,S(a2e30015,a53829d7,c95d5704,3d6dac44,bca932b7,d4115826,c602aae6,8e4ef847,33ecf0cf,e81236c4,e8fb76e9,645e4827,9bfa617,f6d2760f,dde2b110,77da6ce3)
+,S(cd9bcbcf,b7338c75,3fe393d2,2e2e44f8,45a09b83,fe4ce29e,546f2a58,7d7422c5,7683e5e7,f990e09a,e15902e6,c57b8db9,e2b1d29e,8d3bf33a,f90291a4,616c794d)
+,S(77a00bb9,6abb918d,774a2a4c,3828fa5d,c7d40bfe,aee10091,f5d92cae,cdfca277,f3febab5,3310a2dd,5dd7a5e1,33572b3a,83950172,be7e4cd6,fec7575d,10142e02)
+,S(be2f342c,ca1f161,d15f98cb,ccac9f2c,806c6d1b,f34656b5,c671c730,bdae8efa,c9c7a70a,88ed250d,6a7c0307,d3dd907f,ca8b399d,4affce18,e988ce5c,e0efb5f8)
+,S(538bc08,c3c775bd,33edee48,c96c6fbc,1435b0c,f00aa42c,6c15fc7c,5540dd6e,9d8b1293,14283325,8d676a92,d479ebb2,c5ca171d,a43fefae,74c7740c,7e956eb9)
+,S(d5e26827,fc0d8283,ee020376,56e83ae1,3ee306db,92d0bba1,6b3fd99c,7af15578,b41d4816,b9643a41,c4f8c5f,4121cddd,d7eceeea,9f2156ff,676d6d2b,61b7d210)
+,S(7d18f6e9,95f9077f,c371fcce,729835bf,aa903ef6,682404da,bff6949,4b7faac,1423bd83,89410b9,a2cd8c3d,3d13b495,d856b103,eeb96e64,8c258ecb,a77d581f)
+,S(fcb3cd95,fb0b4940,bdf0bd4c,ff534d94,26489c72,953b19d0,cedce320,6e3eb556,46043aaa,3d1ce85a,3009911f,763f49bf,df3d7fa6,347f5573,4c6c36cf,97f15702)
+,S(a0e8413e,f66527ff,12f6de1d,2ed4eca4,6617064c,afcc4e98,495f2694,34492800,ac640fc,e3d5d094,54ee6811,81f8bc5f,3fb1bac6,84c8c572,b24fe3a8,66234d13)
+,S(fbf60da6,aecd3cd,9137b28c,f7bfe541,efe60e65,52470f80,e301884c,1e9cf33f,aab83f4c,9d9e5ed9,ee35be7d,33a02bec,ebca4f40,8f6fafaa,6f385a89,8f7d846b)
+,S(771c8d7f,73bf2b9f,4f032e7c,daf17c39,c375ce1d,2e180758,fcffd82b,26fe206c,af22f29,ac2ec5a8,ecb69e2,aa954f49,63d4a58c,2d6769b2,5255e9ae,2689f756)
+,S(a30bea5b,4a911ae8,de11a310,a9cd3616,54143337,30aa182e,ba75601,3d12ab80,aad0f1fb,a9a8d6a5,71301b1b,dd11f4bb,161c26e5,3d3d5143,ad2678f8,9960029a)
+,S(55d93940,b0a76283,6aac5bb8,c04f490d,e7ad8da0,4cee090a,e1f381e8,5c13fd27,f1c58d73,b90819b,bab9933d,60f54370,7a625449,d637f01d,bfcd6b44,bb467937)
+,S(f6b03260,ae0373f5,b2ebaf15,1a74369c,22535844,13ec4356,ea4a9a32,f2132f81,4fd750b3,7f377f97,7b62580b,6ee7176e,a720a434,8df7aa86,642cc6b3,963cfdaa)
+,S(80f7aad4,3deccf41,cf4540db,97150bd4,f4665ef7,72bf6c4e,e551c566,d11d13c6,20a9b836,67cbb397,aadb1211,fbc9a78e,2e998354,6f263403,1d844e7,b95766aa)
+,S(4f574d76,130e2eac,16bd6b64,85bdd2fc,88855c3c,68a232b0,29560509,463f0c90,33dabadd,62ec0192,9fc3ad15,587150e8,ead8518,327207c8,7ad2a7ec,c712d268)
+,S(41b6872f,f47a0d4a,764ab086,764e1844,a8b4c775,cb2bb06f,643a7c13,5a633e6c,301d54fd,d55c9204,4d337b83,ff17dec3,3faf0bf7,ddf7b5c0,afc8934f,65d54e17)
+,S(9f4c75f0,cb44460,ad14d416,76c8b60a,1ae979cb,1ff6a506,b5523cee,8acb1bbd,253d8a0e,985fdeba,1ced50c7,aa3724ae,79c75c6d,7c82315e,65f3b579,5fcf70ec)
+,S(25db3430,667796c3,b5f3ec0a,cf4f11e4,73518ce9,aec19932,3f0c5adf,e32f4a87,cce88dd2,ec02e348,ba569fec,15a3c527,ba580e44,c32f25cb,fa6f99f2,a1eb4250)
+,S(fa71cf1c,2312c228,c706a7a0,2dc3b9e2,f571b468,913b9cb,3fc5ed1a,faf730d,156df61d,752533f7,afee2781,30763eb9,45a6198b,a78a8288,f30e381b,a809eb61)
+,S(f5d3adb5,6d77855d,8e0d0b71,300e620c,f96a45f1,5948d97b,affc3ad1,7226294b,95fea642,5be2e987,968f54f8,f3fb30f1,e9a1ba5f,57b68b1,101a5981,a47f9f4c)
+,S(907eec9,6db952f0,eb7d0436,c47f5980,dcae53fa,ebabe57c,aaca00e0,10361460,1cefe286,19dfb7f1,969c7618,e0ed4775,e23527df,6a214754,4cd066a4,65f92468)
+,S(abbcec4,36e06bc7,bb92dd79,bcc5d9d7,73189ef9,2546dfc4,54b5d624,2c96e8cc,d1546a38,1f335077,ef40473d,baac9c37,66aba23b,8040c4c0,60778d13,8603be7d)
+,S(42f1594f,b1e088f7,2020b68f,7fdd9027,b9638619,b0320410,fc4bec4f,4fbdda76,9a417cab,515a08fc,9e7a7c64,7029a457,9881caeb,df8430bd,c1712af1,3c6b02ba)
+,S(a4aace90,751aafa1,fe3e14b9,ead1d460,e1cf029d,cc82afb2,4d169248,e63f83f,97ec83af,dbf32c34,df9cafe7,de0b6ee0,67460d5a,607e1ea,fd13a96d,51999d54)
+,S(ac7ef2c9,56b41a0d,824999ca,550ddce0,83f2aba4,8f2bce5,644a579,c0e248c4,d97b0ee7,f3a109bc,bd308b3,e4d4ce2e,c1a65878,e7e5939a,76c9d8f3,6959c5f1)
+,S(e9cb9aa0,ab09aa1c,18daf08f,bbdd0457,25d4ac95,8607a88e,5bb14c1d,61d826bf,a1cc215a,124e31c2,e426e337,89736101,b739a56,b6d4e139,ce65272e,2e4b9a5b)
+,S(885de0dc,e9700b34,9e10dc17,68f9fe12,2672ed3b,ff9d20cd,93b98e38,ebcc67a4,f66a36d3,75272f66,cad46fcc,cc5d3df6,8c023da0,1ebcf766,f4dfbb0,60e1eae)
+,S(8ad4ade1,ff9a19a4,fdc89e75,e4cb61c9,1485ebce,b1e4c063,ccb8001a,c5038e6b,e02acfc2,19c22881,d38a8232,fae54d82,e0b1fb77,e6b8b741,890357c5,be261ff0)
+,S(5b395388,a62979a2,b931f243,7f3f65ab,292ddad7,728e67c0,e753565e,578fa354,7e77c8a9,7c274030,b22e802f,f0fd69f4,da65e54a,b50953f8,b9945b79,20fb89f5)
+,S(271982cf,eb593e95,17a8fa5,6f62fd23,ddb6c7b3,8e5a87e3,712793b6,f10a2d14,6661cb55,543414dc,e02b3650,8660d54f,48086cbe,4b517092,564188d,6815d2ad)
+,S(458be91f,a61f477e,47d7b997,931c992,86281efd,21445349,af820000,58b2a93f,48725c06,e7dbe303,f0c73d43,a5a62b6e,131d004,2bae9dd9,ec12cf97,8df04c49)
+,S(763f00b,348c1cb9,e922c6dd,a7e72e22,8624fae0,158af602,457fffc4,cb0bf3c1,8119c3e5,b190c6d8,7f3d7066,72136a3b,d0f1b198,d9f304b4,cfb383ec,e075de74)
+,S(4fd5e9e2,77fdf260,8ece7268,10343542,312773f3,2518b363,7075fe98,dcf7719b,c234141c,d3e83309,539aa906,2b17ee35,99a3246d,86ad20d6,2885cfaf,5a88162f)
+,S(c578afee,a7e492e6,30ca55ff,8923d9d0,9a6d0583,5553c61d,fe871b6d,e1d956b0,bc2d5e2f,add48f2a,50e357cd,4d4c120e,e744fd96,dca0a959,c0bf482e,2e081ce5)
+,S(df02c64e,7a60b87f,73b4add8,5ad93b40,bb6a862c,18e0fba4,3f722650,c0439107,d86dc018,525efc69,cc7b282,cd145650,3b9bddae,607e14ef,3e380d53,c266fe29)
+,S(9471f488,84cff3a9,2a99dcb9,4cad96f9,d4761570,c0bda860,bf1b0a9c,32a27a4f,23471d9f,6b3905a2,6d9481ec,dfa10a2e,7c7a5405,119dc8db,de839140,2e063e13)
+,S(6d1b5784,f58e5393,fec90c50,a674278a,cb841f46,97da9eda,12013447,a2e0b863,d052c806,2905ef3f,6302892f,48b20497,e89cf7d4,3c345ba5,94233cf8,2586a17a)
+,S(94eef4c8,be627560,17e13634,53f733a7,fd590dc1,294cefb6,4d8965fb,3d2ed1d7,49a1e5e4,d72e6a21,14e7c4d0,eb9c9240,b3b988d3,21d2999b,46a562e6,1a203c97)
+,S(3206fc87,582d1267,92c2a68a,7400a29f,61097fdd,3ecf4cda,fe495993,87ec15f7,c9a7af2b,88df18f4,fe453bf,fc4af355,519fdf21,9251bf6f,879f291c,32a38eb2)
+,S(fcd215,45f8a36a,a5a81bd7,1fb1804d,b3fa112c,c21542de,27cd34e7,f7309a1,191c6b9a,42b0adda,bacffaa9,89bbebea,3424a3bf,11345ff5,2af9c3fb,6193ad0)
+,S(4432309a,40f6c71f,cb7fbe26,d6390778,fe6f816,3ee50264,2b2027c4,86fee04b,550981ec,b4d2f6df,fd25f26e,6d65f62e,5e549c1d,79639c4c,d07b6282,2d075847)
+,S(7cbff748,7bed64ba,7d6346f9,18e23992,a3712ed,1b7cb89d,a6c0540a,335b582a,ddf155a2,bfb25607,ee6bca12,f6df2a01,98513445,9b353c60,9806fbbe,2d9fbdef)
+,S(f8cd164b,ad3e65e3,63368645,76c49035,a95f7928,350c855c,fa534f6,80709789,25412c86,23bca2e9,8d5531ee,d57c80c3,ab01abfc,498cbef3,deeff0e,ae6912a)
+,S(6fad2644,990a231f,c27bd678,36ff84c0,11fdec01,120dcc0d,f114b032,1d60648d,6beaeb65,ddd28481,a23af85a,5a417323,350d057e,1a574b0f,5d994816,844d9d98)
+,S(1fbf086e,d0adb5d1,9c49947f,d019046b,289c5703,1cf876d0,8cba81e3,7739dd6,86e3511,3d4593f7,a8142c45,8e915fcd,685efd0b,f8cca8a0,79ebded3,f4453acc)
+,S(30cc2cab,fd0a2244,2c8a6e00,5b6220e5,4061dbb1,4f8ceabb,6215bce,f5f5b312,b5a1f70d,4a05fff9,9716ac44,57a4342e,7d4bdef2,6cd07fee,b515c56b,19fe72b2)
+,S(156efdd1,901ebad9,70eb167a,bb99ac5c,676a0929,3feb0b37,8ba19ba3,6c2a3935,b1d39453,32f0e107,15d06df2,d784b1c3,bac221a7,f184bfe2,4824a368,9ff33051)
+,S(48682e29,6b8e8123,c9fb6246,5e8480d5,54350734,bc763757,f319d40c,87f2ddfe,efa5e5e2,be832508,e71b15f5,3a7f1d77,773129e2,e57b2b86,9545cfc9,a20360f8)
+,S(d188747c,968b67b1,88958f37,b9990bb3,1a54e3d3,e3fe9e06,7aa9b1a0,87f5e3d4,6d60a049,25660c21,81efbbd5,6a436409,6bbdfa39,b37f70e6,4d13f3ca,6bc76b92)
+,S(d7cfeac2,7fdb5922,a5f534c2,b1d325a2,903217f2,ff41b6ea,1e5d2264,8095d3,19618c66,87bb0d92,52133c84,26fb8aa6,4fe1355c,86aaea97,b9ef49fb,de063e75)
+,S(dd795951,27b0ff86,94dd131c,e85ca6ef,9aa2022d,d0c7f053,4c83735c,43096c02,caeb4cdc,2633b01f,1b51f7e6,103ede8c,a0ccef5d,e33a8ece,5ddfba8f,736e2adc)
+,S(5b2bf207,9a319707,52496851,68aad1e9,5582408,7e5d361e,87b77900,d9c63939,728df41e,69c939fb,59803668,6c44d0b6,f102dc4d,ee146a33,42e1c04c,9b6e30cc)
+,S(d2a26a5c,313aef0d,6ac190cb,11c84771,abf97d8e,c7e6e67,bd3313fd,15c2ba11,84a1fb57,1507d012,9d98ebf5,34fac803,5de7a43e,48868269,d5e9656a,773fe768)
+,S(22c22c99,860b2b6c,630487f2,5263e77,91b62450,290e9df,379efa7,1edadb52,d2b227b3,dc85c1a1,ed64a7e5,6dd6b178,ce0ab5e,68647b50,1178ac78,4b7d1c93)
+,S(b811b039,d2cf5f3b,95e38e2e,14da67bc,417cfd8,623593ee,1f2e924f,d9a064c4,a860653d,ca39030e,8c1ed7bf,aeab73f2,a68cb8a0,5263aaf2,431b6f8d,9c862a28)
+,S(59ee23c9,26b38d6d,d6c091a1,d4adcdca,b3a5a548,a5cdaf92,fee9fe2b,c3cc2957,67462318,96e4f107,67e39d47,b03268af,5b54edb0,9f9e8e0c,3f3f89a3,e9d204cb)
+,S(cc79ede7,ca5a9ba5,a7c5114,d2039d5e,c6a54db8,fee6c102,577a20d9,18ba857a,2cdc980,3a06af30,c19b262a,12f54132,933ec985,afbd1598,45c40be3,2e24861a)
+,S(1319c7a6,2f3959b4,cfee1223,b225c6e9,9070753,a1ad33d8,8f3a8b78,a886f7da,d8a75f9d,b8266ea4,2b650265,6b6c0ee9,7f3598d6,3d149ad6,9a5829e2,f3c29085)
+,S(e4ae90fd,74e9b229,b9100cef,1da59b80,753b4f0a,cd7790f6,34930a92,b1eea356,370f1c98,f72e698,73c8d0a4,e76fb117,d7e5a9a4,d13521f,f4902a1b,ed3688e5)
+,S(286a98b7,b0b0527c,310afd37,717b5061,467be24f,8a0b5528,52ff26ee,d658988b,d10699be,f79e800a,519b964a,163cffb9,722c3ba5,b56694a5,c1a9b883,b32965d8)
+,S(9b8544b3,79746ba1,8524e084,2d15b853,46577b81,7084e02f,7d0cb820,7448f5d6,8421c0f2,ba15f648,246f9cb7,3b10d6db,1de7aefb,fafd9b52,16234dab,8e70218e)
+,S(81efaf7b,50a18c8c,2481299,bbd2adba,f3510ac4,f871c3c0,f849ef6d,4550681a,ea8567a2,9c871ba7,fccea923,fe07e8ba,2071d7db,25d33ce7,a6125c0c,2afacd17)
+,S(6680fbdb,dab850c9,115d5765,344f1466,b88cc5dc,8de9fab,549f281e,974ed7b,c7871b4b,2690f4ad,1e67ea81,e2cefac2,988082d8,b1c70e67,4389c79a,bc880368)
+,S(4c38ce7b,a8e3d317,6f615d6e,27578edc,746fb80e,4701efae,f7557469,a1dce4bc,f6e73d73,61ff5407,10dc9f1a,4bd5c1eb,a7d8c8d6,45f0427e,a4fc3e45,3990b88c)
+,S(767146d6,bc1d5bb9,c73321b5,4cf6bc61,e8209703,fe4dddf7,2b3d6089,da60be69,86df7dc3,6894f88e,fe24a4ee,fc78b1e0,fbb5138d,31666be7,97b8934f,d0b9a37)
+,S(bffd4856,360c02ac,ee741a65,486d5a7,44e2a005,9db5ef5f,f87b9e18,3adbed20,c11246aa,3bd4ec3f,71f88d2,cb3b96ba,2c210f90,d8234c21,99bf7781,f96ad781)
+,S(ad19b5f7,45556650,eb496450,968d056a,fbcb55b6,8852f510,ac96df54,cdc677c0,f78295f8,59445c52,d6ea285,3fe9baa0,5e453bf0,9b3f4d28,6c99e858,62a04bbe)
+,S(5924f679,bb94f6db,d8232b01,ca8dfbcb,37a83d24,d0e7026f,b526162d,c82aaac7,baee6567,6a526460,ec7563ad,42482d37,a42f2fcb,f4a5eb7,b37b515,a6c3f1b9)
+,S(dee240ea,c90d5399,89d3b3f5,764e0680,1e601a4d,f2c09226,21eb0b7f,bb53ccc6,12668b,72cc139f,5f9fff4c,ef24b5ec,d0648e03,64c17417,f35bfca8,b819316a)
+,S(e288a00b,e18b0987,9765940e,caf8972b,1a09f67b,fdc455c8,8e3b4ed9,dc0dad81,fd81e0a5,adf1df8f,42c64825,6b107d44,887d01da,f4cf89c9,11529124,16a1e4e0)
+,S(e747d6c7,3f5366ed,241501a0,ca6dc04a,aca7241d,8effbd94,7d3e6a0d,bb6eadb,9954822b,15f44840,9c9e73d,97722194,1eb6a218,ef1ef4f,269ab118,8f9c773c)
+,S(57b8865b,ac78b9a1,c244452e,8057be3b,4fe2c6de,9ca9a295,ded04377,2b61aefa,d0e46172,8828f0d3,f1fa808b,1dea8516,b0c30d93,4acc8c90,6ca2bcad,303f06b7)
+,S(abda4b38,47ed5cee,7ace4e8e,e652336f,26a8f4bf,4bd610f6,e87e5936,e4e8339b,8860963b,8f266c30,9c6a00c6,cdb44048,a9a1b76,d0a5a652,b4453f7d,330bdd9f)
+,S(7f05f2d9,5621d06a,d344bf91,7fa8b9c4,2ceafa3d,fabd0620,bf7086fd,9539e089,298ec6d,8d5a9506,8d916678,dc8e62b3,7b6fb9ef,7967da8a,8419433f,79922f29)
+,S(99e4f06b,b8845bb2,12638573,63f7cfbf,3f15570,44256dab,21b5a8fb,c43e2453,5d76066a,86d5c498,323af928,2c3bf419,acb758c9,7883d236,7d9d9e3f,eb8e1417)
+,S(ff994b1f,6447ae81,8bbbf97b,8b6d655d,900b04ad,eec06fc1,f57eab70,95375094,6a63980d,3a9324a1,9339a073,977130de,d0fddc50,5b86ff73,464dae04,c3004a68)
+,S(3e9af52,f00d1993,8b6205dc,7b6f8ef3,31d624da,fdb2f09d,fd701b78,ed8b0471,a674914c,ac86037b,f0585de4,d867424a,ab9841dc,83c0ca8f,347e16dc,1407167f)
+,S(eece935a,e5cd4afe,baca6998,63c5e8c2,e0b338a3,e2ae7dbf,e34102f6,f1c613f8,be70c210,b925dc66,c8546e65,ae9600b4,21a9f668,c3a09a01,8bc5b88b,91cf4d74)
+,S(bf10e625,7d336eb4,a962bd97,4cbd9f10,76787b8b,90575250,7f0cfc2e,121d1276,1d93f629,8ddbce2f,1f670326,265c4ba0,f7f5256b,472412f7,a24f999e,f4e1c64c)
+,S(73e43284,c80d4ea5,c992ffe3,cdce4149,d490843e,bbac444b,f47ed5a7,3d6e0bb4,82cab83b,c7d2d2bc,87881618,54034d7b,dab132b0,6340b316,964854b7,f2ee3e6b)
+,S(5410340,b614b676,63173725,ecf0b8e1,67c2de61,ce999639,be2051dd,2695f8b8,f191ec95,9d6fd8f4,eca243b7,8d844214,976d97e0,65218487,3366ca25,f2e6a091)
+,S(203d28e2,694df7a5,6c9b9d42,907c1e02,192e8030,77ead781,8198b2a9,69b127fe,c06fb7ff,2361ac16,a884f0a7,9e4f5a19,b0b5b207,9901e634,be237643,ba93852c)
+,S(f9a1e3dd,f53e41b8,84f7c4e2,c2b47131,8d14705a,4e7362df,3221222e,6b2c1921,cd150a1a,abe8ea0d,853245eb,509c1d4f,e26c54b6,98cf9aad,26849a7d,e63b6264)
+,S(e82e5e89,db35aedd,4d63b7e,4d55d637,cd2eafcf,f16ffbd5,b0fd1444,c7c783bb,6701a95d,ccae2272,2a834957,e0a4a3b8,3cf5ff19,2f41e8,1619dc46,b8238cda)
+,S(9fb768b7,16032fd7,f21315b7,79776882,767d5d64,c9141267,a0ddedb1,55d4ae08,13474a8f,90fda6a3,43e3ea23,e858327,dc2f4c40,4a445f77,4b39b92d,a312574a)
+,S(d0793463,ca7cdb50,3622f1cf,90032794,52af3fa8,1866e536,159fd23e,ba6082d7,35301f6b,66858d6a,3e97480b,ec3d2a53,8dee8465,ff5c15a9,1144ede,a208bd0c)
+,S(cf8fc191,273383df,f1d703f7,bb237ea6,cb5d1307,8ce8ae62,67fd20da,4d845e05,efce641,3bb676e5,5c0b64d7,589ad771,23900e0d,60feb71f,93270390,ec66ecc1)
+,S(f12aeec7,55a7138e,4e91024a,3006db3d,eff6ec84,ffa73d96,da21ef00,452064fd,f0f0660a,22cd7cda,25206f10,e82ca005,3a40d539,472cf41c,b86ed8ae,3d29abd9)
+,S(3c40f94d,ab460ccf,c8e47a1e,d015b074,ebfb6142,fbbf5b4d,e77aca70,be67c57a,998efa4e,26df60a6,f1a466f4,c27b2dce,ce6367b2,e05a5ad9,dd71ed8b,482ce55c)
+,S(f2fc6db0,49861d3c,a01a6778,22299264,88184967,3802ed49,503857d2,2860f00c,79f0f245,1cc6c5b8,d36c330a,ef8c9c84,95619911,1d4a01a3,d9363382,8b609576)
+,S(35d3e3c0,29fdc9e3,88da1cf3,d52df6bd,9ac0ec9e,e591adde,26d3e414,f4fb92f5,62ba2346,6d19ec1b,64d2a6cc,9822feb8,e03df178,3f526a9a,13d10fa7,72de3219)
+,S(5628da0b,cc2c0583,902a56ae,711a2217,455bba47,c7222dfe,d60580c6,461b4ae3,1cee8f17,8ce4c7f9,8cf2a2c5,92bf39aa,57616913,bb66f232,a813904e,7b574ed9)
+,S(7ec54044,c3fe53ac,8437a540,968e0b,b725e794,a8c240c6,5dac1f12,4ce21be3,f6290891,af9af62d,5dfe10b,d567af1d,6b4b22f2,8177a14b,44edcd0a,be811c0d)
+,S(eef7a7c2,a0224a78,aff7c61b,d2379259,7b307a20,bf1c253d,6f03d57f,a8a84203,5c7d6875,905e26dd,2fa4e5,24f73b00,6f4bd0b6,786639af,5d222411,bf69daf0)
+,S(3f1e6459,38e4285d,ed30be98,1d149f68,24b264c7,df920f0c,c5d776df,83228cc3,a6a5df53,856be619,25e42d58,2f705567,39c3d7c7,a6e222b8,6385b63e,d1316916)
+,S(c83ff186,ae3f42d5,a2c39b43,7712d607,92b9006a,d8bbcc89,97bb9b35,d1663cc6,2380aa52,44674eae,3d96d65,f484e7a7,62cbfa10,96c5a313,9eb4628e,77b72d40)
+,S(41d20761,160125ae,c669b1cd,395110bc,94e09a,ffb52ef4,e7e86e,1f4a61a5,c8509f71,2c20aeef,7399d11e,7c438d0e,9b4dec72,76c1013e,a4c76d31,ee5c7496)
+,S(cd358f38,d2cb11f2,9fb54431,dc5adee6,721c444a,8fab5743,1149e504,8ba0dab8,e6ab91a8,79a51f40,cf75e405,e508cad8,ec54dbd8,2dd4115c,fda7b255,b1a6fe1b)
+,S(d1e1851d,cc95a94c,a8c77b42,5b4430a1,ac10e526,e3f4c6dc,f20267dd,7c5f2d2f,889de789,43c6674e,6bf28470,3ef8867c,8d827681,d2df8bd7,75384ad7,15730ecb)
+,S(89268637,1febc520,14709cc6,b2aeb5dc,32e06b14,cdae3d76,b1bc04e7,b9b5dc8e,46823e42,9c0815e,ff99cd7d,f3712f78,9c102af,173b61f,8de08519,f19a3783)
+,S(c7341942,420d4e63,263a144c,8a10d22a,fecb1bef,64f926a7,83951e0f,6490caee,925019a5,212e9de7,2e6e2336,c3e2aa75,9511396c,a171412b,53c8f9ff,3743dcd2)
+,S(fdede5f,38d83f9f,a4ba3218,fac6f0aa,7c9f464e,33dc59f9,8a3444e,fc0ed7e7,26e4cd3f,3dcd6a6a,211bc8d0,65564250,49c6db2e,9946dcaf,43cb42f3,b0f20449)
+,S(b2b5364a,eaedfe4c,f046193a,6777ec1a,1841436e,3cb17c34,9d27f42e,8e536618,32b886d0,f0f94a7f,1b1d87e7,4f2c7dcb,ba4a5dde,8e93c864,f8f48bb4,50d08ffa)
+,S(4c3693f4,52a95b79,85e39982,f316897,93d289cf,66b3326f,3e1cc77e,457f64bc,48d7bdfe,fb8c3abb,584db0b,d3407ed3,3e543715,d4ede995,df0e1b8,52e12123)
+,S(5cea23d4,927f0385,57f6bc1f,b926e594,93250b3d,6d934a16,9265ae08,24a35e60,5806886e,b01ca724,8434f2f8,be33287b,d9cb3c3e,b927bc4b,4fefbd51,ba98b5b6)
+,S(db0a50f6,b4558c10,61a3ff88,1da60f9a,77b42469,a9713c8f,8339b8a7,b903d93,7afa6cd2,57685f49,9635d15c,bb7defac,d6f94c17,aa19be02,4e2efc70,d84c45be)
+,S(b0029adb,25f32b75,8023ced1,632de91b,3e3e55a6,1abb56d5,aada032,f2c01ab5,baadabe2,2ebc5fc6,d5dee65b,262e96c,63c99fc9,13277d84,9ec8a730,e1bbfe91)
+,S(c336b077,3ce16975,bc204169,8126a40e,f8cad886,6a52c50,c5081ba7,b878af5,6f46f5e7,b82aec01,ad499340,fb90b81,420b4a3f,977579af,d3eb0ce9,c7d752bb)
+,S(f403fde4,7232a9db,9efda1c0,5df49636,2137f5c,aacdfc93,1346dacb,d2501451,ba30815c,197de8f2,258c83d8,dd7ed0cc,cbb5388a,415b8629,2cf5c271,2e75bcbf)
+,S(85cd71a2,20beec1,3edd0133,6b0b85e2,da056a1c,4a48a328,f371af1a,ee502c30,d6accbba,491c915e,88474b92,bf23c740,2648085f,88a62d51,b26954b3,f6d2d4c6)
+,S(324d65,b3c2bc55,d3b2a125,1b673ecc,d26d2b23,e333849b,7549339f,7f0d9a42,83750e95,32086164,e9aaec58,b6a2f00a,3838d76a,208d6453,14042334,b4af616a)
+,S(322033a5,c90d7a31,9439c368,b1301f1b,d088974c,91560063,793b6f2,63b401f3,a61f4714,488bd2bc,84bdb122,c615ac94,a7d05157,e6d961df,4f873f5a,582e4606)
+,S(a414ed01,691f2a43,b18dbda2,2d3d009f,f94f8b02,672e49f0,58dc2323,b71f5836,2fa3e483,a12ba874,12d709a9,47cdf22,6b96523a,ac7f4afe,c93f98be,f97ec01f)
+,S(774310b1,7752d7bc,d8b3059,f7f4cac9,e661a841,9dcb20fe,355bc7be,3a4c65e9,b3333227,469ec87f,19e14e3c,98148b4b,45bde0f6,698829e9,3bbc9313,56e18b12)
+,S(fbb23c7b,5c15bbcc,7ad0118b,6826e385,3f6c4078,5342ea57,11109f8a,27dd11e,b12ec70c,9b4c908e,2538f4c6,b0b3d548,ee199f9a,1e9b6535,f1c78081,41664ad5)
+,S(4bf836d7,fa7308c,89b075df,1f336fc8,af3c6ce0,64e1253f,853f623d,c483b400,8b368da,424e5a83,48cfe987,93d47a1e,1e9bbeb7,3f5282af,82e12e4a,c7eac850)
+,S(91b4a84a,e521232d,71e3d202,49dd1b3b,d134509f,e3e1ed1a,4e8b5062,a438bdd2,52d30545,4972471e,6900afbe,2471e1c9,16c82ce2,2f955ab8,454f9b65,b70ed759)
+,S(9751092f,62147caf,f3953cf4,8a117082,37a78b6,5bf0de56,848da1e9,4c3c3a42,57fd0a15,fe069db5,5fbe870c,96d4280,7b9ebd87,33908bd7,49ba0121,a900b08e)
+,S(54439284,6f6d46c9,8ac10a58,ac3c34b7,3cc5569f,8f9fd7f3,4e7ad2be,826bf293,1aff0b85,e5b9033d,7c44e877,57513317,a17734d1,13043cd0,780da032,2dc3ed03)
+,S(172704b7,fd7f5560,f17cb6ff,ff9a0144,9a05a113,29b86df0,a8d3256,ce139a9f,a416c0af,b170cdfe,169f894a,b10aa97f,2c068a4f,d70a6878,ec9f359f,e8323bea)
+,S(2236799a,a82d4b64,5f412aef,eae944b5,e28e0996,8a243ce5,b8986861,6f735dfb,7f20b2cd,af70cbdc,6aeec02a,dae1535d,4bd919c2,631ed69b,9913771c,2f482c1)
+,S(6a52af7f,c6f75636,c33047b8,9f0eec31,66bd97d,8df6579d,2e2a441,6ec4fe8b,4eb0813d,220849bc,e0b948e9,a6efcafd,339f8861,eacb9885,40ff8e1,acf1efdb)
+,S(8696e0b4,ae3f0dea,bf6d8dd3,854faa5d,d07b01a8,86f710ad,9b4cd84a,5d61a617,67633be1,a662024f,77931f06,38884175,d2c234cd,c4709637,4711c79f,42a897df)
+,S(6c4b727e,3bf9af50,fcae1ed6,163ecb00,142d9a53,b6d3f54c,8aa14064,1358ce7e,c4f2665f,395af262,b30561d1,48bb0f4a,f5603102,80f57f40,1506ec37,2bde79a3)
+,S(a51d2296,98aa29a9,6d0e5510,f3e815f9,cfc6d492,dd0b2fd5,bbfdefa4,984a6934,861f0848,7658d4a0,141e9d38,aa0e268f,40bad7c9,e2615a37,7a4b974a,6828d525)
+,S(1afc4051,cfb5635f,9c2a8477,7dee5fd9,fc4d40a8,3ebe2f89,f36c0b9d,8327288,61ac4eb9,16567e13,d1b03ae7,ad5c3d8d,ef85bf6f,387c511e,bba6c237,96e95f7a)
+,S(f8fcde05,5a2a92de,c65d1842,6607a939,b3475abe,2437c5d3,88387fd4,afdff590,4cb8f7e2,825625ba,e3f179bd,4ef94560,6e186346,61edbf48,8ce51ea8,ce1b0404)
+,S(cb3dad82,7e7464cb,5fed0cbf,7e29e6ec,112ea411,706d10e5,c1fe6fbc,a04a3e9,a33abaa7,6c9afe3a,a8ce5add,7a2a056,b396cdda,2a002161,3de97556,a0364629)
+,S(39d2cea0,acf8059b,a6275a08,ec3a3664,f09cfc43,f143c317,bed8d751,33d4ba0d,6beb4ca3,d3009ac8,881d6d15,e0a29eda,6738befe,e31707d7,f95eacc5,fbd77192)
+,S(90bfc4da,3be2d74b,ff9b5539,d0787bf4,4a1b6d7c,2baa14a1,dc6801d4,42187f96,1254e7ee,c8acb35c,fa0695c5,85f61b69,def3ef5a,6219fa97,e3b09dbb,351152f)
+,S(50772bcd,454ae992,f97ac3f8,9d8193d5,ed50b69a,b2e62e04,d6a115a6,6e71c977,f199a8f6,f78b0b97,cc20316f,66177383,64338fda,3eee7f0,f36eb0ff,64accdcc)
+,S(afe51284,f033bb43,ac6feaea,9520e83e,f2cc1e42,9e273bc3,1b087161,52ea6926,77ecc481,9ffe6efd,33592907,17d22ceb,f4344c9d,f5f5ea4e,4d443d17,25c8aa1e)
+,S(b0caf67c,151b838e,4ecaee09,c7908c95,bd3ef86c,797a5a8d,71cb3bf0,3a46ab17,10ae756,7bd2f6d6,712c448b,34636eea,2c7c3d99,98901308,14825b4e,423284bb)
+,S(f2766b4,8cac8f6a,80a7cf39,81725834,d186e88d,735fc7f1,5135ce58,43b3dc8c,63590fcc,a4e21c39,50cd78a0,569c0d2e,959254e1,4bf2ff22,8d8fb216,b53601bb)
+,S(80d50e7d,28269280,f8ce0dd3,6afb9f43,38df0403,d5661c99,27ff817a,46f60a0e,22fec5b9,7472824a,9b2ff25a,68d947a5,a8952ae,b763f37f,70228978,514cd22)
+,S(18114ad0,7097b5f3,7d788165,e45ca1b8,462da0b5,78e5d37b,e4be3632,35d2fff6,87c5f261,39cb366f,25fb6bfa,fcc8408b,f4c69c81,29df3cfe,9190213f,8c15a66f)
+,S(3bd52737,68294cd8,73a48831,8f958e45,85871165,c82cf6a3,9126e378,43975444,8c92d391,e39a50f3,4388510f,c8dbb686,27f29251,92ae8edb,b2613948,c01281ac)
+,S(acf47eeb,526208ba,8a3de26e,481a86ac,f17f5f88,81d89d43,ab8a5a26,e00db5a5,b451b4cc,8be8339e,4203c913,98b9a29e,de86a91d,3e347688,53442446,429ace0a)
+,S(5e39f375,87a07536,86bcd792,1183c424,20159044,a9f66ecc,2bdd552c,62ec35c2,b7131328,297c6995,7df6783b,d9bc550d,5c553e1,30bfc3e,fffedbd7,5e2d003b)
+,S(315b67c3,d980796f,6f0a5505,ff2d25f2,8551615d,12bd73de,b10c4897,580371ba,dfaf812f,7525e087,2d11e10d,612004cb,3e2a7024,8c40416e,5020ef66,82d3bc1f)
+,S(8f6764f7,73810396,62537cc5,aed6a8e0,318654cd,a95d8695,89fa471a,edd0d7a0,b91cf5db,2994d207,135c1dbf,b9d9d78f,7e3adea5,8c176630,c09140b7,f5c67e84)
+,S(e844b948,118fc6a7,eb2f96e,ece3cab6,def55940,75c7b7af,fcc5603,f2012f96,707668d8,89db03d1,561596da,a831aa92,771a0fb9,e1b21273,d11a3415,82292314)
+,S(fbbedfd8,4144785e,fa71e234,59973cb8,87deda88,971eb62a,3007f350,1fd0ae4e,51d23941,cf84f121,ff1e6a5d,651d9528,6ef1d803,819ce64,3aba8d16,67ba7dd9)
+,S(a0190399,c692b9a,db172ba8,348b404f,19442b60,4df60142,f6330f36,ca6bf352,6ce7491a,b5329042,25556069,71502da1,601e3a04,f38601d0,80b31654,20fb527f)
+,S(d240e135,4b9e6dc9,110a6b25,afcf35e0,74fb02fa,f3dbe484,4f46818a,89bca65a,d704be81,e2597460,6014ffcc,ef12563b,45faf24,3e070727,64f341b8,7dfcdb7d)
+,S(39bd84aa,f8a15b0b,809888f,133871f3,c40ea5f,2825582,a35fa9a7,808e5e87,94ad6588,658752fc,ce45ea1b,752ecd02,2b621c5a,26908cf8,69c44584,1d831d33)
+,S(2172be6e,dccfd021,a56a553e,53f814c7,c7cdd55f,d181d671,4ade45e7,72093142,b21439df,f7229e61,cd3b7c77,fa750a94,660f60a7,53da96ba,d8ca7e20,69abf76d)
+,S(57db209d,a40f30ae,fcca7838,2ba525e2,231343b9,250a1b1f,67fad7f4,d4079594,34ce9bac,bd35557e,2f73c718,4287b493,c524a3a,d6b403f4,ae777026,42fd37e3)
+,S(845c2bc3,3683d899,8b90a2d5,ff299064,5214b272,a056ed93,63621406,d3a4cc11,44a46738,839b2e3e,1b6b19bc,56a1ff06,7754126b,20654e51,3a1f13c6,de4c6535)
+,S(705af30b,251cc64a,26edc929,e3e9ff3e,32ada2e,69c2cfd0,eefce4cb,a37329d1,c0e693eb,94c0c1f6,cf1a0ed4,8c9b13ae,faba8ebd,926c4fe3,ec9071be,2db463dc)
+,S(9b2a64df,9b1f8e,34844e3d,920b1af3,14df1b7,78b863d6,f1a6b94a,869061be,5ff03134,722faad1,ab6f87f0,bc3c6abe,8406bdf3,6506b662,6d066ce1,fa6a7cf7)
+,S(494967f0,1a0c07df,e7d9a8b3,e6a4ad13,893a894c,2619238,7384e38a,d514cff3,11ba0803,72bc4ffe,b86e25c8,b69ea450,5f6e3b24,504b5e38,210beff8,5d82e1af)
+,S(fd547247,812e4233,55c4a977,4dfecfae,812ef2f8,f3fd832d,a3af2ac9,257d50a4,65ed23c4,d776baf4,53faf3d,d3edf65a,5d9935ef,9e22fef2,53319e22,ca4bf51)
+,S(4aa16ea2,68ae95b3,2f405fd9,6fa78478,7c369015,4c124733,a07c1953,874b6246,4306725f,579fc013,2cb8c640,7361c7c4,685a2a49,532fa14a,36010779,7f5104e7)
+,S(de6fdd33,8b6eaad1,bec84d55,992a5b74,aaca294a,5f804015,796d69c2,cfe67add,e58564e9,d2cc10e7,184d65b1,7e0271a7,f2e59073,bdca05f,ae664f82,7e6fba13)
+,S(c8290adf,d0da5f1d,1805f36f,288a8709,eae0b93b,1a7490da,5ffc29fa,bf834592,ff161787,f096e022,f513afc4,e0b84d73,e7f9f347,798e1026,931271b0,8f1c8a87)
+,S(1b95c512,815603a6,19750d6e,463d5a33,55f09c22,56484ae9,8f1c76c1,10ed8fec,93b3750c,3a1272d8,bc9e4c52,b5efb6bc,d794c2c3,939bbea6,1848c9ed,423bb39b)
+,S(ac0d9939,104bbaf4,d2eb2560,356f2bd4,f1037ee8,397f0703,b7ebfb49,463a22e3,c6e6d039,d6acc470,c1ee1013,722c4a00,4c59e472,11da3025,49351216,f0bb8985)
+,S(d8c8f5b6,366c1d29,b2f28f53,8645b17c,f001ae59,71a19f05,fb6ebb3e,9e36faec,5db24ba,6d78e76b,42262b65,e631390c,8540b72a,746cc5b,edc1b681,8b1a113b)
+,S(d42ccf6e,6d1c663a,3dd95fd3,c016d535,c50e394,fd63b353,2949716c,49315737,e7337f22,2d353eda,651087c5,13cfea43,96e9cc5e,22aefb4a,5fb3ea8b,579c7298)
+,S(53417fa2,4871adb7,6d875c05,8c46065,681f6372,95d221db,ea76d88d,f687b817,d014e6ea,e00c4ec8,ad931dd2,5cf569d2,efb3068f,7aaf5ded,d4978546,1bb31d76)
+,S(202e9476,53b677a8,d7aca305,c52af8b9,d33b1ec4,c5ec94fc,5f7775aa,c478f150,539a24fb,211da532,b378f3e5,cdd688b5,c57343c8,2e03a637,39544c8b,34e3087f)
+,S(434f1027,72aa0555,8bcb2f6b,1f64bc8d,72bf1bb2,8b972c3a,f6f342d5,f1493f93,a9db9031,f2d1b8b0,e5840fc2,b4534970,90aee2af,5bbd83d2,c14a5ad8,acbf8c14)
+,S(a0e54d1a,f09c47f7,cf56d3a5,725d6777,9fdf920d,3c1dd566,caf71666,de7d5d17,87f5db7f,197185b4,73cfc293,7b0661ce,1ea92099,fbb51151,63c2b26d,47ba97f0)
+,S(2d43cada,5455b682,f6430cbd,96a2e316,ac0b4b27,e9fb8777,a94dd2c5,81c0e350,bcf18180,1c1722db,1bd9b8f1,8a1989c0,fb372acf,fecbf9f2,c37ec4b3,b459c916)
+,S(e5e6dd12,6340f04,431552e9,903ff4a3,c309ea1e,c498e483,e19b9cc1,37418d4d,58d35fe2,24ab47d,93cd53,fba32252,4a3ea9b6,d96390df,25935a1b,dd12126e)
+,S(b112e4d3,ff9adc6f,706cac35,195843cf,302324e5,6aa7305,9c8b5f3a,6dd7dbc7,4fe76714,6529e6f6,b0379366,334595be,efcc7cde,d3596ed8,83e3b30e,780dbccc)
+,S(d26b5261,ca7be739,95de1bd4,d75991ef,4d357fa2,5c8d513a,e209ac6f,64ad960,5f3b8e07,74e78bb7,5c395bcc,8512f2c0,1b6c451b,5c8d6ff4,18f9ef35,30c6d046)
+,S(e2e4f568,eaf2807e,cf43ce08,3146e961,92271bb8,d6d9b24c,e7315b00,1cf04fbd,56894a02,58093a34,22f2ad5e,548158fa,c55ce47e,d00ede05,40434424,4e204b93)
+,S(a62080a4,2d8aa307,32255b2b,a239d9fc,19729eec,1dc24bca,67652705,9b1182cb,ae848a12,893c34f2,260c33c8,ce2bcb7,14fb1438,8e6f3f06,d9192549,6a9ec13e)
+,S(684c1647,7771de55,ddea8aec,290c1e25,65120fcb,fc8ce0db,4316dde3,f5ae8d91,ba85dda9,44dcfdf8,cfca86dc,ba902675,3d99e751,5719e579,64e0fa0c,3be1f06)
+,S(3d730e7a,afa97950,bee35934,da18648c,d0bd62e6,9a49281c,b63589d0,5efbd2fd,c28545f2,3dceca1a,ad0a9c77,23b61519,44a3c984,d57517a7,cf6702ce,f4dbb630)
+,S(337c9584,b49a49d9,29b1212d,dee7ecb6,39f007b8,9ba94180,80c9548,459c48b7,b26db317,3e996893,fe1e0797,f75cd05a,2eb23ddf,4806407e,1f173d29,48bb0bde)
+,S(7013edd6,f49ba92f,9c9757d1,d3374229,706078df,c2e9c64c,c2e84cbe,85c6b5b7,e850419,7975353b,2863b577,d6f0c392,a8c5bdb4,2dd557e9,8e971114,5e078de4)
+,S(9877cf36,bde592fb,5f4a4581,2bc3c39c,68ac9956,23b3487a,635d6e45,89e26e1c,6207d384,737a0d80,fa9f42e0,57684584,efe1fa4,5cd73eb7,bd50abc3,2722f159)
+,S(6d35bf57,1c91a2ca,1765ed62,f9b2f680,cbd0955,bc76332c,c83a7378,4bf3eafd,47a589b5,15a88d78,6f94f64d,674182e9,7dd12450,ab3ec375,a9a31d8a,375e5f7d)
+,S(40ebcc0f,be3a2a59,968bf6cb,4d638873,5468b532,80a9c96b,639dede3,171db2b8,c2181816,ab9f0d72,c5cb167c,5bbf7e57,9f17d7f4,484996e6,3a23e0dd,5f5d3a8f)
+,S(90de4b6c,3a5ccf14,cb033478,577461af,8c347731,9857ff40,79e6ef27,5e557b87,c534bd97,a4af903b,f307c1ce,549a9976,70edb69b,c76ae827,f277ffe8,133cf394)
+,S(54e89b59,b73c76b6,cac52433,305c41b6,8f50df66,9b99f47f,599504ee,93ddb110,d307e828,1e89cba4,86ac125c,1c5d8bc,943394ee,222b4b06,f4e3e5c7,b5da176b)
+,S(f2ef67ad,60858ac9,fb03ad25,f75f85e2,e5ac151d,95c96967,93ca080,58756f2d,92c0dfa9,372e1e7b,7363f229,2776c059,56742f60,7b100be3,56dffefb,bcda8cf0)
+,S(65b7d935,a71dcb6d,eac70b64,91b9fc50,35c63f21,655a856b,afd00a33,52f5be39,b0773657,cbdd3813,8f50813c,558ddbe0,3f8ad81d,e420401f,175bade7,1429927d)
+,S(6e950ff,6471cf66,72ea542f,cf05aea8,2c2e1e0a,c2247021,4c78895e,e291ee22,c0ca0886,f0ac828e,21a5c60,776494fc,a6f19e71,741de92e,c11323e7,e874788)
+,S(c3b15f8f,96c0079b,471896ac,89d7d11,8ea1607f,18a20627,fb18e1ff,24ee3c1b,33a033c6,68e3cff6,414835a6,ae3f89f6,643326cc,7e149f56,99ab4fbe,d5f506b9)
+,S(9e333d9e,1c022776,da901c19,e6936c3c,1af45491,a93e9405,ae343c54,775f36b4,c6734e91,3d013610,6c77a1d3,ced1babb,a6c6723e,316c3fd,34a7911f,cef616d7)
+,S(398d2109,4c0baf8a,ab63ceb,6aa6b64c,678bbe86,f7e01b3b,8c0ff291,450244bd,f1ffb185,112ee219,24a1702,183f9075,471611e9,54fafb4e,36f6acc8,4ac7acf7)
+,S(8f99c7d,553ca4ea,b160a07b,6d457058,90634086,80c709c,530aef44,bce43c8a,52a15e23,2e90d233,211d707d,5849e214,1f56e8d,189783ab,3c09f37d,b86a776c)
+,S(8d798338,b2774399,487fe227,e2d883c8,39698301,5f01bf00,d154f4f9,296512a9,7cb53de9,9303a6be,9aee01eb,3a5c115d,eff0e18b,2cb5e852,75e9b7ff,53e35666)
+,S(c9d6aa,ff6b648d,69416bfc,6e4688c5,cf13b711,29c785e7,3ad1e04f,ba02be57,9fa83446,5405aa0f,332a6aa1,922e3fcb,90de108a,db01796d,9045d423,ca0c2632)
+,S(f736cad3,f1264671,f2e79bc9,c21551c4,aaa5da0f,befc1928,b9e7fab1,f59c8c5c,2ceae81d,16206893,b3810abf,d2aedb5c,55b79222,1346cc9c,908346e7,cd3e661a)
+,S(7748965,7c1fcd79,60fa4a8,36feef6d,835f960a,d3b85009,7462a71e,8320a34d,cfacdaa1,2906f705,d83212b1,55475160,e02cde20,71fc5c9f,6a6d59b6,8e100aa7)
+,S(279f43f1,e26ebe73,34924bae,563a0e34,e5cea7f0,eb9f5702,129fa6cf,8b0c67a5,eb5a49af,bada9830,7ceec508,70a49027,7d1cd6f7,6f332249,b2cf2505,82a2a828)
+,S(cfccc083,9bbcc7d3,5ceca575,3b9148e4,ddd4464,5727cf47,26f33d62,d83a6a03,e3cc09a0,9d26889e,c969c734,a3361dcc,d638b17,608baa1c,e7cbb99d,a5bc23fa)
+,S(e60b0451,70c2e3bf,dd627fcc,5eab1218,d3d598fe,a41f6bf1,dace1a35,2daeb287,a493847f,4f1d3bf,9e90c022,851bb652,691af15c,f4c6c539,bf2831ae,9cf8f2c8)
+,S(11875535,ebc90fb1,eb7a08ce,90dede09,fa8cce24,b3911fa6,44ce8111,8848b433,2fb1757e,38148919,bb197d43,48aa536f,c0f06f9a,859ef737,ea50b1fd,82968ce)
+,S(c69559b3,75cdaea3,56003ad2,3edd8ca6,c415868c,a13a30d9,11d4c694,f5822179,a39427b4,914b58fb,dd35408a,67ace872,8c299a39,278335da,9228ac85,24652906)
+,S(625ff5c3,1e951b28,40f431fb,4842f510,8b738722,cdd52c4e,fdb495ed,e42f1f7d,a3eb00d7,4eb30337,d3f61ae9,d595996e,c7d5a3f0,ceb39f23,3df0f5ff,43298d7a)
+,S(1e2fb107,bbb46666,8c31a927,3ce57baf,fd1df905,3fa28286,196a03da,74327c2a,aa882338,5261bb03,a8d8793b,c8f98330,97c22731,46ded3d8,966b16f,337643e2)
+,S(d0cbd747,970ab0f6,19e5e4e7,78709399,b65b3f14,24a084b4,a2dca8ab,10d76ebe,7b5f778a,94d3d75d,57b5e979,3de246bb,f36669df,b7dcc24a,ecf4e153,2025b73b)
+,S(ab4c057c,a40b84f9,10142209,a5c173ad,6ef31616,db80bd13,61959f11,b739f9e1,598f12b3,4695bb27,ccb2fdfe,a0911ece,eecf2cc3,1063a3bd,42dd100f,e93c7ced)
+,S(f9c11e91,2cd3cf06,d31e4795,40c703a7,4f5f3100,8e6ce299,30d5f08c,7307276d,f873ce74,bab3785,156468ce,3d6a8cbf,c532db23,2a0a92fe,91d290cb,ad08713)
+,S(2d95744a,79c4d234,40e2f40c,a83cd89e,61576686,21293dab,6716072b,2089b77f,a25249bb,9dd8a94d,44576a4d,7ed800c1,9adc5e26,82874ea0,5d63bcff,2f6b2704)
+,S(3bec0dff,e9a96bb1,f3cbccf,cc96ecf7,e1335b1b,86f13b63,6467fd31,5cc33abb,e31f8a49,dee2408a,2d0b9288,4e381379,9fe404ec,1d8b96ab,39413f82,52b85b5f)
+,S(23721d31,616051ab,60287a0c,2b4ada42,1bf00825,127ea0eb,1341beaf,a207fedb,8cafc4b5,40e6f3a8,6fd1b546,87ff8c3a,fa2372e0,24696071,59b6e195,f633b169)
+,S(ff8e494c,446cf1c4,bd557615,a4a1ce2,b8d25bac,62a89929,993cfd,51d45099,113e1b98,555ddb77,b8680eff,c57eeb96,4038de04,26a05289,8744f8ca,4f3ef028)
+,S(f170cfff,f158e368,81cb677a,c9d9512a,3c1705c4,850d5a85,17a66636,7b0cdf21,49512fe4,3ff0f91d,b9ab918b,808ac11c,b5eeb4cb,ed905f21,adce5e4e,42ebbf7f)
+,S(e9ff6261,d6c05d6e,4e35e373,57fca0cd,3c3ea884,4a33e504,df3dfa2b,a524d158,4969683b,9af581c1,963525b4,e8244e5e,6b7e7e48,f85c1fe0,1e9f0dc2,c66e591d)
+,S(c1c4879a,b614ad86,cb64d15e,cba92aaf,4d1c7742,76d6aec3,4b59f731,addf6cde,6d7185b8,fc1b99be,383a7a5f,385a08f,d7125e3e,f72f93c,25063bfa,d44abeda)
+,S(deb0c036,3818a101,ba38a657,5c0db8e4,a65f824d,57014dea,1c110387,7bf2d9ca,f658d43b,f0c106cf,6b45e552,3fcd066e,e754180e,8510b58,43708b5a,b40dbe32)
+,S(c4d4164d,f782df0,f5366667,83e5aa9a,8b05c7c6,91c47a49,14798685,1da3fc9b,6c394d4c,3118c8a1,30bea2,2396562f,6dfcf8cb,8f0a91ec,20a43bd1,548bd80b)
+,S(94d83b82,f6db0da3,f1bc24ac,8c5bdd0f,6e89cf2a,bafd33bd,2fb3ca87,9cf63a84,9e8658be,59d64a28,7cc0cfde,1f35b83f,e3e098dc,6212afac,ea234437,2591f2ab)
+,S(9de3fae6,e6934304,a84eed5a,58e077b3,76da7310,61859847,d6abecfa,fa650dba,7e4cd395,ea8b90fc,20850be2,4ba8dd83,e79dbc4f,4efed68f,504eec04,f9bcb212)
+,S(251869eb,7a567c9b,7866c9b5,a829206d,867f2092,8f3a6fe6,46ebc3d5,2df7d99e,bd87d706,c49690a1,9e0ad77e,4b3b8f0c,5efba7e1,2a448a3b,b4ad3c7d,44e35e7e)
+,S(e92e5aef,818b2980,43227673,3d15021d,c84192d5,bc9307fa,1add63a2,8e888a9d,ba3a3157,96ab2051,ad53b5e7,a058f700,ea90e40c,c5855712,d2176a0a,c232f94f)
+,S(b6a8a783,c2716ba8,9a37c7,d7022dbc,25fef8f6,76c676b8,267038ae,64a33258,93b09e15,8bf081ab,9e69c4c1,6d965743,cc08ad85,a8eb248c,9c67043f,fe61ebbf)
+,S(26e95f26,7ee205ad,50dcc75d,82330877,394c56c,84546cb3,72fecda5,f57c2556,dfc935f8,63840ca4,71bed804,d0c2d14e,c9528a9b,ba1e6f25,6545311e,5cae673a)
+,S(6c1ed40d,dd086dd8,2fb00bbe,d969ea90,7e363496,97c350e3,2d0074d3,3e05bc13,854d177b,5593cdc3,ab1e4903,c64be02,2b6b0cb2,25c71390,9316faae,a235b269)
+,S(a9286b2e,81030401,c37d69cb,1e73caa,b1c68a4f,4ce1538b,11ed850e,67d11aa9,64ab5453,c3a1166c,18f35115,1f031117,e29b1a31,237cb2ba,51f1a873,529766fb)
+,S(a2b862c0,ca02cc3a,e1bc5737,876f81ed,83dffeb2,4e6954c7,3cf97bb2,50050cc0,db3a03cf,d704f98d,dad8f48c,5861988a,1caf439d,b50c196a,32289622,b9a49b3d)
+,S(19259392,58c25edd,953117d1,fc7a74a4,a9cc2fad,892255e4,fefdac84,4784c917,b86a1bfc,b7bc8844,abe424a5,b7409abf,26e8ac62,7983fafa,70dbdaef,43a88eba)
+,S(6b85864b,194b2cfd,af1d6550,4960370,306ee34f,87c91187,230de0de,42fafd09,54a9ddf3,87458a54,cd305e06,61dd43f8,3911e88a,db6f0256,d19cdf15,3ab4b388)
+,S(407cbd77,b88e6d47,60b07e26,f53fefd1,2b98bed3,5403c693,e7ea33b4,cd74b5c3,eb73a1d0,fd122265,dc880cb2,920b4eda,610ff1cd,a74660aa,7cb91323,e5485d60)
+,S(f65cd6a4,594299a9,6cdb5f9a,7889cf44,62cca331,d3329f7c,43ecb224,d58c817e,8c906c4a,11925697,9f84722a,9440d2e5,f97e483,542658b6,8538aa0b,f10f5572)
+,S(2ea38854,775422db,43eb69b7,bbd47a6a,b8ef1694,28753fa8,8cf49c8,9efc6e63,bf6f2d21,2b21c740,a25dfacb,bd22436b,5118f1a,2004bb90,adf580c9,6f21f1e6)
+,S(f2bb4814,94677f3b,6af8aa4e,6a3b1100,c2e0e99e,289536e7,eca3e61,a20793ee,a3a788bb,2a810267,9a3d98f2,6a9a2740,91a3a29c,234043ae,aacc488a,67849762)
+,S(e157c4a2,84354b8a,73d5e5ec,58dc1ceb,2396ca3d,7f651e6f,4547aa78,99899daf,f06970d9,5bef3e0b,e2bd4597,a1c96581,275c9719,605f63f,9618816d,669a0bc3)
+,S(25aa7f3a,3a14731f,c7fa3b81,31a569e7,4bf32c9e,3492e626,aa4a4316,f263cf12,e5c2e210,a8a75180,31778f4f,4737a0dc,bd1a1312,1dfb40c5,5c435803,4bc3eeee)
+,S(73ba2208,8cb96b2a,c23dd2a9,7b3cfd2d,c504ccb6,24c2dfd,5062f8e2,bcc442ee,ab9d3a1c,6bd762b,9cd866ab,7abc0e1,f898c567,61c7071a,d64d5233,caec0ca5)
+,S(da94893b,3e73246f,6a72041a,44c7279e,dd8d4d3d,55b20db2,eb0e08df,4c5837f2,6949f652,8601b0fe,e572ac03,89fc3530,6b2d09d7,b59c40c7,a1a607cf,51684006)
+,S(908480b2,35c49b11,12bd6504,5b3a8e13,7cbd4820,3046880,1688ed05,abb8b7b5,8a887f57,622a7482,3fd40b26,f58ae7a0,18d2d03c,d5ed31cb,93a529e3,387fec7b)
+,S(682d7401,31c966e3,2a8bd150,27fae9f5,4452fce1,360c449b,1b20bbd0,257d58d1,ee7f773f,9d074436,685a2fe7,21b1b829,9369f543,dcac37e9,9adf43b6,4525c19d)
+,S(c8661c4e,dbe125bc,a31e7a22,83aa0f9a,b4b3ae70,8512fab2,21bdb4d3,8c89fcb,30299a17,16d3fe04,7f48627e,36195b21,e6800d4d,a26dcc63,96c7fea5,8f25a2a)
+,S(5112b1c6,2b88e704,f0d2c731,834019aa,d51a108e,1a8614e4,f6e62f68,d7372b4,1bfb5f8a,ee37bb82,5494c9ce,651d32d8,d47e5a29,4b9123e0,7311f260,9ab4053d)
+,S(b9214d34,49e16aac,b90f6704,ee589f6d,8fa45126,be235e9b,61ef3ebf,2150eb99,c9465341,2dbb107b,965d177f,de11bb25,53e8795,69814d17,34ee9ae5,267529bb)
+,S(94185601,f959999,1999c919,82e5042f,b7e68583,533f9569,73788d5c,3a087b2,5e51c755,de79b6d2,eb640039,a4268d3a,601750c8,dcd0a942,eafc9339,6fa36c98)
+,S(3cdad3b2,2a707d9,90fe4228,adefc934,e8c69a9a,8a4cbd87,844a6ff5,a073f511,f6de425f,26e17045,5589e22e,7824dacc,f8cb8561,832db31a,e8fd2910,558ff9f3)
+,S(ca986704,a0d1935e,1611e176,60394d00,7d2aa1cd,cb17357b,b4a557e4,f5a4b5ce,8d527934,a73f2b0d,b3cf571a,ac53b3de,11ac99d4,6ba995b7,5a09195e,b10bb5f0)
+,S(f5920156,3ec396c5,82fd6090,2d98ac,2d5dcf5a,cd37e651,a1e80c43,f76940e0,2e821f19,7e27f927,20230f1d,9e26dff,5b3d977e,4b4a6cc6,7482f3ec,3cd5523)
+,S(9ced8c1e,bbe0d213,b396fb89,8aa8c24d,870d305d,e9346239,b2cb0315,c883cdc,79367b21,4a2e21fb,1e9b24d9,fed6a0dd,b377534d,4da2b501,6999ebf7,f77de2c)
+,S(5b07b283,ca262751,4a10817e,bdfc8044,883f4de3,38cae14f,de955f18,9713dac5,b8d6d9f6,8a71aec6,3b7bb44d,1d2b678c,75ff83c6,37c254c8,3a14be30,a5957b5e)
+,S(4c2eb4cf,3fe64ba0,21297b8e,321cac6f,a8245614,45848933,19453052,69337386,35ee2473,1830eea9,85171af0,96b6bc0a,72f3e83c,6d83f8af,8ef1131d,c8b52c8a)
+,S(5f24fcf5,f8c0bf43,43b8a0e,b3b6d8f7,2901c902,6d43f8de,4bcb1cdc,6d5019cc,87c2a306,138265bb,59b2b2b5,6992fb37,b2ab28d4,ff4909f,d6067e2b,4f312cfa)
+,S(e26bda51,c385a875,5083faf5,6a915944,3eb351a7,88e1597b,f17649b9,b23ab8f5,35d66322,ba25896d,2a14a0a8,a3f5bf91,d3ceab49,9b2683f5,db7f58e,68ca1071)
+,S(ae5be06a,b1ae531e,5d2338ca,d929b5a3,4c283035,95282aee,7c3ac259,8196bbd6,f4f486a5,bf11191c,9134d522,62ccd692,cc5c6686,c9013ed2,782b816c,da416d25)
+,S(d143463b,4661a173,6b88f274,6b3c20c6,d054683f,9efa5221,ffd3badd,14804880,77b28055,7aa11d3d,b2ac8de2,c9c5757e,d0c9b0cb,af6fca3d,bb295bcb,c3ff8afa)
+,S(54804f7,28ff88d0,bf6fb4a8,a24d4eb0,ee5379f9,30f890f7,8e31afca,87f23343,79288e99,a38accc2,c59ff29d,9da5df60,42d63089,45900378,c40dd765,2f0f5626)
+,S(68c21fc9,93d41345,484cf5c9,8aa93bf2,25fc2c01,922a0151,cb3e247c,f130ba0d,9c435478,23b9d8bc,2e8ba0f3,8f2b60dc,ca5b6030,eef51c6,cdd20eb5,a02c6245)
+,S(2f50b870,96b2e15d,6fb35001,cd8f95a,875cea3a,edf21a2b,c433b254,7798b856,44b09dfc,e0b8d522,17e7d9f2,9bbc5d6f,9886fe9e,3e360688,8d7c4e70,c3bea0ff)
+,S(9d054954,f0c22da5,f330b3e0,69310a93,66b72129,2fd3c98e,76464796,847d16df,45962d48,143c94b3,57400130,d3e050a7,4defd464,223ad599,e6aa947b,12679a85)
+,S(31980b95,9f51a6bd,4cfd9a11,b86dda39,af66ffb,97713ba7,3edf8c10,462d5685,d0a02979,5b45ba4e,7464fc47,7a09a90b,7265f5aa,e6b0d655,fca5828a,837c2840)
+,S(e9c0615,f0444234,1f522d93,eda33b29,8951a267,7c4cdcbd,fa02a63c,a57d1ed9,7aef87dc,7095f483,5ebf2b3,156be9dd,ecedf54b,1b0c739f,c513ebda,5c5f296e)
+,S(fec8bd3f,f19fa6fd,17523af6,27384c7c,6c92fa85,aeab8bf,bbdd2178,89b12650,d01a278,6ee8f9db,38b1ceb1,a3fb1df6,b631c0a5,23e92460,d0d51367,1098e414)
+,S(2094133c,86322dd7,ee1abf80,2ddde826,e6385342,6bc87510,dff63f3a,b94f54eb,efb2ecd2,13bfda3a,227b791e,c24ff627,17ab559f,1bd289b7,e7db992f,d941e850)
+,S(a34c3385,ee882646,b44bfbf0,f64225b2,fb86df27,c616a2ba,6cabbb68,cf36f3bc,e99bbaac,57c9f5ef,c64c6687,6f2bd6d3,b9ec8eb5,f9227c98,9a768f34,23e91422)
+,S(df09dbfb,564515f3,a6d86e05,dca59a0a,c353746f,b291d9c,add27d68,6810cbec,90738e50,6bead3aa,c0cc4a2d,cdfb8529,5e752945,a7b2e357,1a99c901,49017c47)
+,S(df9817de,89526a26,c61e4294,f245ce06,8b5e22a6,4937d5f9,6898b9ed,74078989,c4db6e86,c6a44091,23227adc,345d6eb7,d2f12acb,f2df3b44,978a1743,94072f15)
+,S(2e713387,7a0419b3,7bf77874,b24fd0,7cae9fb1,59919a50,223437b,7746eada,5dcc4c1e,12502573,b0520817,16fa46d1,8ba43ff7,e7f8c8cc,e3c141ca,6176f805)
+,S(99826364,f0061305,1ba033ad,63b95884,97158ee6,9542d06a,f2f86d91,3bea7a2,5f109254,24af4592,2ab30701,464d504d,6006969e,30a9ce5d,76a3b115,6158c6ea)
+,S(19222e8b,5fec6d2f,33a35fca,83c3b9eb,effb9e3a,f2ca9c53,929fe5f2,a43bcd32,c79b4f98,4621b2c1,d627dade,f01fe761,8af239e6,b80c23ed,a2dd1b1b,e750549b)
+,S(e0ea59f8,6b7925d3,ad511280,8b1ae5ed,c0acf6c6,d4ed0846,d870a663,5573970,bbfa69be,ef531b32,5272ee02,8c880178,57ab2a32,65b5a6b5,38ef81db,83b5de52)
+,S(7df189b7,c29c06ab,83f7d849,58ba3d1e,7da3ebcb,feeb9dc4,64b60420,3631fdd0,88e00d45,8287fbea,5c14ab33,6a879948,e81d9798,cb82054b,772728a4,4b69e56)
+,S(42b9867e,7cde3ef2,b4b73f3,e4df7504,b7f06cb0,67aedabc,16edb276,97bbca58,eab47aa1,df9af0f5,40d1c6d2,ba7edcc6,fd436f56,c944c872,1e1f4958,63144390)
+,S(9ffd9a,5535bd30,a697f61e,e6fd0ffe,b1a7e5c1,9459bd3a,708a7112,3a3da54b,79fb0a7a,8334fe38,64fef8a7,60610920,af2741c1,fa41f582,37e92acc,29644011)
+,S(13ea8e5d,1116a57f,8b223a5f,79c750de,6c25511d,558e6878,e92cb134,7b81e393,a41efd37,d35ea994,8175d989,cde449d0,e325b40e,a247edd9,e8f4eef,e6a4d283)
+,S(110d401b,d7a1a0c,e484fdb2,34cd839d,5e40cad8,6244cdee,5c4f2ba3,ee1e2eb3,cdd91a5,4dfa47d2,98a46f15,c021a38,975ca108,f2653019,46013427,349d7ca)
+,S(48a9f1a2,fe29b05e,d419a14e,8ed288de,46affeb2,296522a1,f2407b76,a8f6b040,f1c5ea7,887c029f,67202b41,198113cc,f1ba5617,79afc1eb,db0e10ec,5b5d2a91)
+,S(d8c4d9a,feb94e7f,7b831464,77aa4e3e,a48b6af5,35015941,4047cd01,1beb7176,fb8af9c8,da06c2b8,8787793,bd19d7ca,6cc64508,7713af45,4f5fb4c7,eeda3c2a)
+,S(34e84417,2f5ff4a2,70a9064c,d5994327,9cefde94,d295f424,2c491efa,bc1f0839,2da40cc0,5120e4e7,8e84435f,895a3ed7,6c507bda,4d16cd14,b602deb4,366ff9fa)
+,S(ea802ca2,f07a4348,791b7df8,99639d06,c6db8d15,74ae8441,b29c2d18,18b7a6c8,ea475a0f,5f74e6fe,ccfca44b,ddc38a4e,3cc19c49,e2bffa49,a9572146,6338a155)
+,S(d80542c7,a7be8da6,6346d867,4154f65a,b1cc8e94,19299d81,6a5c874,f25ee43f,5e85d69f,b5c72ae,bd94b1e4,67e0d30,df8da61e,4150f4ec,e3efcfae,78d88d25)
+,S(bdb35e49,7c1c0d1d,7a120366,cd259e7,31cb253,1bf804ae,f0c82cdf,561d0c0c,2675a4ee,aea6dfed,8597c08a,69fc251b,7bad9869,e83f485a,73dd1638,605915b0)
+,S(5174e27a,9a1eeafe,6411f3af,b627223c,db0da11,6bca0ac3,d39a3080,815e22a7,b1223046,5f58d183,fcda2603,e4593398,51ed87ed,6839d9b0,4c845459,daa3d5bb)
+,S(c8b1299b,1b2880ee,7720ad03,62588349,44bcc309,6a7081eb,ce10ef20,ab1f6731,ead86be8,85584e4d,34ac18e3,d787031f,72feb217,694a32a0,76f2f88d,a04f3440)
+,S(fc1378cb,c42fd6e2,f61be9bf,e60bb2c9,b36c5a0a,4aefef09,c8287a3c,f1310d31,ae4ff85e,5b22d2fc,914192d6,28324d12,51ffc469,1ba8ca13,f8347edb,5a9170d4)
+,S(7c0bf943,23e7c1a,8004b23c,c05327a4,d4127c7b,eed27e3c,4a825e41,5f3c3a6e,30ad62ec,bd19f80a,a9dcbb5b,145d18af,3248eeb2,1d14e648,d7fd7217,f1089728)
+,S(2ede5f01,232c0409,34b07b70,1ccce3d8,27f85ad,2a56c987,e29cd6ee,d841efdf,24cbe9f4,69f036a7,6e140720,f65817dc,847e9562,4820dbdf,b8a1384c,8d39bdfc)
+,S(decd1afe,faf01eee,d2dd89c,bdb9711c,4f1899fd,437d0371,55cf74f5,9aa0858,899d1c8c,49b0b3a1,89a24445,568becb1,d3b1420d,ffb2c7a3,8fc291b,258f8ebd)
+,S(1dacbc1,4be6e70c,4043f5be,3f972d36,3cb456a2,2ee1b1ce,3e207578,8233a79f,fc3b04b4,f502affd,37d71c58,d6f1a61e,b126cda0,e156608d,7f2ab786,e0734486)
+,S(12ad0f7f,cc7cddd7,60cc6a3,3fd3de83,b1ab0e3d,cca013a5,68d5978b,a176cc19,b4e0cf97,335b374,661f6c21,46aa7315,a2c4f6f2,b839f88d,5376e256,99e6e216)
+,S(f649bb96,e477a5f3,f852dd31,65496c07,5e14a85d,fa929794,64f1297b,d56fd1c8,46e37dfa,7eddec82,88fd18eb,9ac200e6,79337296,e2cad24e,d67f98a6,2e61d040)
+,S(34f5e5a1,248db96f,a165950,a9b74392,acda22d9,95496808,82760daf,642c600e,a8a6637d,a1cad7d2,f72fe1a,df67eff8,49d0ab0d,7e06d7c1,a11078aa,de9dc733)
+,S(26e940f9,ab45caba,adb1e4d3,23e5cf70,575c44dc,dd2f0b10,1540174d,d2aa715a,972aeeed,c5fd01ff,3b04f236,c799039a,9c7fe6f0,db1348e8,b97dc885,c57926e5)
+,S(e3ad36a5,132f1067,503498e1,ed4b315d,4d06cc67,3a9207ce,47224497,12f51a4a,4fa719b7,37cdf1b1,cd5b963f,16a47e6a,e43dbe0d,490423de,fe5deecc,5baf9e8f)
+,S(413fd0f9,4e231525,1aae9d6f,61aa0038,dbf7cc03,10c81185,394c8cc4,8b721a9d,9281c5b9,ac1f56f1,50776cf4,69e57118,8cc6989c,ae41b950,f72ff25a,d6de836e)
+,S(9841a473,600446a5,5ce0ab4f,2e77ad12,bc2abc34,1e607241,c0c61d2a,d87148d5,7d1bb113,ee4b5199,95231834,1e05d87f,f9bb355f,df958410,3d161969,1d786f4c)
+,S(1d4cdc2e,3e06c052,69958eba,f00484b3,36594f9b,be1ea98c,2382e608,cf78272d,6cf5d126,766fe5f7,75bfef7d,c2d91b48,66d4bff4,c8eb4e59,230d1903,16ac6bb4)
+,S(da74f388,86de9c6e,36227258,758111ce,3b9414cf,cf8d5cfa,bcd9b3f5,44f1262a,d9231255,e3d9189e,a8d0344a,80978b83,3f1afb57,5c799f01,8b4ab73e,866a38fa)
+,S(b2ebf119,46e37704,e1e12345,c68f70a9,a031c0b1,e85c0833,c5df9c0a,b836a6b5,c1652832,1666f0f4,19806a4a,86f4aa8e,46fccb4c,f7b6493e,26d9699a,9db2bde4)
+,S(9fd899da,eb6f84ac,edfdeb4b,fbf8b521,6b5757e8,10d22d4e,56afc38e,da747cf,2daef35c,7ef36b82,d6158256,2466895b,9656970b,4beee8cc,2e0b12da,83d7af64)
+,S(eda65e56,9cf07e84,19d07f6f,4aedd24,3c46df2c,bac92772,bca7edc6,ba17b217,1f394c99,b48348e6,fb709e5c,b4b4b77d,41eac2aa,bea2a4a6,353d1982,a9985281)
+,S(78567d1a,1a96df56,299c9ee2,1d916472,303178b6,9b18fb00,a23c10e4,f093ed5b,9321fb0,6c5d2dc8,52e64d6e,453d9923,bff7c626,efaf5e50,245b4ff2,64158f23)
+,S(c639e1a5,90f5973f,148e96f9,15c94d8d,7c7ec36c,bdf15150,83503aa9,9ef5636e,3620e7fe,faaf7581,886776e4,f7391599,94ae3e2f,2a59d4e1,ad6d508e,f4db90d4)
+,S(73ef6655,c49894,7aa2b63b,89b77f14,3ac096a1,d7333494,d9774ada,5467b60e,c04509b6,2135fa8f,816436e,6ec0f513,ccbb23f8,782e2ca4,d5eebfea,6a5297af)
+,S(bfa4506c,dca70a3b,a8fb0188,e0384bf7,3afbaa0,6818d503,df5015f4,f10cf341,9fc7388e,2edd63f7,9a5d328d,1b949a2c,a364075e,f94c8de8,37cda5e1,7d566ba1)
+,S(2d594b,814a9e92,7ac9433f,3400c5e5,1a58457,6f47b8f7,f5f0b8d8,f48b2cb2,fa9a1577,d565b906,1acb9efb,4bf415ed,f264b662,594d1ccd,51baf83f,101183a7)
+,S(401ae44c,a4039850,4d57390f,66044f6b,cf1e9fe9,f0f2b057,3f64f026,b6d5f3e6,ed947768,36ce65ec,f947b81,9dedd31e,c8ceacd0,16a40a35,78a592bd,4c2626f)
+,S(43f9397e,a000ac26,8a315406,fc9cd047,b9cad513,8a7dab38,2717744c,ec6662b9,14d5bbe0,52dd8635,29c0b0b2,dff7379f,3e2ae95,6c5b4920,b36452d9,56085bca)
+,S(25036a12,d8eca48a,78cb5e84,41aa5a53,16376e83,e2ac7819,db9895c4,dcf2a22e,14c421de,dcfdf9ec,b69a24fe,1c289ec9,f4d0f9ca,6f4b9409,35ac9815,a4154209)
+,S(30e9c9a0,d9b9c92e,65794acf,a2cea34a,8d56e3db,d5b56205,59100128,26bf8991,999e4729,bca75c06,18f0bf9e,8ebf0455,3460031d,4ae47623,5e4ba182,2f62550b)
+,S(a8fb641,fe27c40a,8e410831,fe1b0d2,cf74072a,bb626b19,2fa51341,e99ca538,f3832ab3,4eb6917,3e2f3755,366b2bf2,4dbe257e,eb516e39,4bfb91e0,a63cff8)
+,S(5e09a349,98a824e2,f3ffe2ae,34a835ce,6b2f0d28,43b765fa,8dee010,49df7867,20ea03e8,4817593b,931d1612,2d01dc7e,52715fb9,36838de9,d2c9fb69,9c935025)
+,S(e62a12e9,d02a5a7a,475dbcc8,79850ba8,340b638b,a5c3b505,8d3c7ffb,c90f0dcd,b075d21b,40e5897c,7e849529,bceec7f1,d5f87881,318c115f,acc99680,31d17f55)
+,S(45aa5534,530265c1,c358b529,de15487c,b6bef551,5125e835,e027b0a,a69a9cb6,2e56d88c,acb32ed3,24068fc4,4c03ed2b,1b70392c,9facfc2c,2fafc696,fdb8d397)
+,S(7fe3d940,50e2f358,31b410ce,e54c7c82,5eb05553,981f1c45,b136a24c,4d4a4b57,97b0cfad,4f6669f6,efb2d35c,42302e10,87c03b3b,1c22e23,24050399,345165a5)
+,S(110dd614,85bedfa6,c09a2e5d,5737ab2,4a5b35aa,40129388,c6ce876f,bd3d9c30,7972ec2c,621155fd,12f0a1cc,30927669,13a9165a,7dab66aa,8f8fca53,7411041c)
+,S(7427d28c,aecb7a35,a4100c42,9fe03d5e,6d3f2f91,a5067866,c618c4c4,5fc53547,8cf74ed7,1324616d,bf4135d,8f442ba8,b473ebab,fe981f2,3a426eed,bbbcff16)
+,S(9779c811,98040c8e,754b9df4,b547c09a,a9f25410,1ca1fdde,365b0ef8,34ed95aa,148280a1,d26c8ff9,51774c55,7590081e,36030a10,a148c322,3c7379,67d036b8)
+,S(41113833,f7da3a4a,4736fa62,ad7b4508,74ef5b9a,b0961665,e30f3081,7d861adf,98399ec3,485a984,cdbb6817,783223b6,59884450,881d2f41,3f4e59f0,ed5fbc65)
+,S(f9830e6b,9a9a9dbe,50abcae1,d44d4856,3a92e505,aefd52d9,2259c41f,4b8b14bd,12061be8,5a0042ea,1baa46df,b36d6f78,62c11cb5,b8a070aa,6c6a8991,62ea1c0d)
+,S(71284b2b,36a4c8a4,40fdd713,6b647482,bc73d680,3d6d0142,833d34bd,f2794077,6e54f5fe,8cff4ebe,bad1b47c,4e5d6407,44be9171,b391492c,df48bc35,10e195df)
+,S(524a04d,a1b7ba04,34377531,99178ceb,7ea18f36,2c300aeb,a8daefe8,6e63e9d5,1c71ed93,861c3b1e,41a7fcd6,57225e92,b2ddc507,4d54652e,3898683,8c3688a2)
+,S(e1fb70fd,2057dc3b,c545fb80,eb91cc9,479cada2,93c3492e,260b0a75,4bdc0222,aa799a9c,25786c64,d5138ba2,1f801e5e,88fc2602,d4e288f1,96c8d79d,7bad2278)
+,S(2bf126e9,8302e8cb,407570f8,c3fe1206,3c91bf2f,63cdd9a9,3dcc403f,a8592d29,6452a6a2,20edbb86,3ed65ed6,cddd70d2,6b4975bc,e843a41a,10ce6ed3,d38591f2)
+,S(faa217d0,1d9f0517,5950dd5d,e02972c8,b2c88076,36090d2a,6f17e7df,2a70cd7,73077022,dc1cb45a,f9e9d056,19635760,66ba7b07,bc79601d,ae7dca1c,a6cdc033)
+,S(3d184ee0,ed45af08,6a7263b3,47b12449,a7270887,b8460b7c,6428ae4a,6dc4836e,d002efdf,1259dd8e,ab5bb606,97e8892b,4cb5376d,c26d08e,52b7c9a,760e8826)
+,S(3c825a76,29890675,bfdcdb73,27f37c4e,43214a91,c6ddb6d0,f31e13d3,cd26eae,45bc7ae4,649d70ba,99df5d07,92e89130,87a272b1,bb2d6043,dcad0fda,a5444fac)
+,S(3a8822a8,d5b230ef,62f657ed,31a12d63,2862f22d,eff16f08,8065981b,ed3e926e,ddca63dc,57ea2ecd,b25e8d03,2868b12d,abe8f7ba,8125a4c5,56d80a9f,9784a04)
+,S(d0042da6,aa3b60a2,463e3396,98229067,c80f8924,12d8323e,7482ff2c,53ad86cd,40697e7c,4c5d6c,4ba11cee,fdbae25c,e234ece6,7db446df,daa03025,5f8adf35)
+,S(a06e32ee,93d70c5f,a45a68e,2a180be4,7d8a7f60,17d035e,47c94d47,6f3838df,f4bc98ee,c7f50d34,4e88ee87,d8705b50,4cc0fd5a,5bfba498,5fe0699a,df811bdd)
+,S(21426073,9f41da95,2dcfa74e,dbcc2f22,375fb359,93f83842,99e3735b,e39b45a5,697f2d88,74cd2249,cb84c9aa,16d20956,f5c40358,9d5b7965,ea4b46d1,9cd61249)
+,S(84d52769,327646d6,13e3e1ec,2d20791d,76b765eb,fc5fafaa,20097164,dc9cda7e,d87be4b4,2e2e55fc,8f87dab5,c8c64493,f09b3996,87ef8fb,3a6c653a,a2250cf8)
+,S(ca48382b,49283747,d433be3f,ee0569ac,7d3714fc,bbd76157,ac5229ee,ee25dd0,b67165e7,60894bf4,3cc80df5,6e3109,db7e370a,bebc7503,ce20836d,3f0ebb2d)
+,S(8a6a751f,816c206b,91e67608,58fd7def,8ea70956,598b1c61,8e0699ce,602cda79,617ea6f1,c7f98cb6,41f01862,1f4c8cf,12a556e5,675765cc,c7bb1283,cc8ed073)
+,S(1d035f81,fdc7c483,9936692,9bebc7d9,15fd3c0a,380f3348,13c65527,d82344ba,e4203070,f687298d,af8f6d66,6030f3a0,5826b0b9,31f0e55,8c356aea,b3464712)
+,S(d28f1a4a,1198f572,a8130bbe,3f25e585,348a33c,2d73053c,ee7e29de,8a3ce79c,2841bd4b,c46c772a,57018c74,8510fc7a,dab16644,f157d51,9c38391c,4470f7b7)
+,S(41c71a1e,eafbd926,4a49ba4d,e976e72c,691026a2,b1773d4a,88670b4f,d9c57fb8,c2b198e2,e4557f8,41203c16,b511d61d,b39e8a67,21b776e9,865158e1,91ea5ac)
+,S(3f0ae72f,b1a06f84,803ff8ad,fa0e5c76,ed0b596e,d52568e2,6fe4aacf,6cdbc3ee,69a9dc3e,a0ae93b0,6c4650f2,941ebe38,fcd4eba2,fc9cc0b2,3fb9c127,81c53f78)
+,S(b59e2f6,2f01449e,d6728b04,e9334f10,54c4c8e2,db4a422f,70566b55,ba4d2e5f,1b6b73a5,7444de3f,4137f2ba,722e70ab,e6a785fe,1ead6fae,9f2ec5db,299f00d3)
+,S(42145fda,e72df9aa,fa3c20ff,cbf11a0a,d357515e,ec6846a6,5cc6ffd8,8fcb1347,4a34e518,c9d39736,3c88ad65,62ecc0ea,2652c6f,48955852,99a0de0b,5f42b6)
+,S(17a085d7,8d8013f9,b98a8509,aad7553f,bda81df3,33aa6f7b,2457a74b,c83f6739,412d9b80,efeca81b,29619ca6,8bdcdebf,7cd253c5,88793675,6a379655,d10df76a)
+,S(f5ec770b,2e0d0afc,7b155abe,bf310270,28bdff39,a08d113f,b0409624,e7049ae0,e9ce5d46,2dc5d255,a09ba37a,a7a5edcc,aad29ce8,6f9c6b58,d2781e81,5d88a25)
+,S(45e3976b,749279e4,486d2db6,fbbc7731,168e7311,d7d75f62,b754839c,2fd17918,84f0c079,c0127eb,d1064724,927459d9,ebc22eb3,502a99a0,e5876e15,29c8845e)
+,S(df15c304,378da361,7f821d07,d00d1bdc,189fae9b,7aabbc71,51c2117d,8fe0c21a,589daf,cad5cc54,58544b9d,a69dc510,9f8f1e82,866b1076,ff1d229,5942deb4)
+,S(c5798ca4,547cea39,75e3b613,911434e4,e5f503bc,9ec6e9a4,8dfe8386,a371494c,2864334d,fb2bff0a,4690f2ce,d1a1d1cd,e3b13f96,325f295a,8e0d4f1b,b13413f6)
+,S(773ba0e2,e1a80ca3,9060556e,2fa8d15f,83dfd018,dd226751,9262651c,9765c915,e59a686a,3fd13284,e380188,fa40e9e8,28991374,20c906b9,ae882512,7dc7dc60)
+,S(6ed4cac2,e1685eec,16c12251,db5dbceb,90f542e3,854177d9,83ee6024,d6e7a740,2558db33,ab598118,1802a84,e6ed32ae,49c25379,606a3150,6ad03ec0,a5308b98)
+,S(21cfc6ee,d98915cc,1bb52da8,e83aae9a,64970d4f,ca3e70d1,6536043e,bfb60fef,8154f487,290cb8ea,73cd147,c1286d5b,9f471665,d9e0ee24,c2be264a,2f1fbc36)
+,S(f8db764e,bb8f031c,88921a73,92f75323,7d1f4a22,7bc8cc64,8bcfa9a1,235cdc11,82c25fea,2d0a1e37,e16dc4e1,b6737ee2,281693b0,b48911db,c79c1470,c4e6274f)
+,S(d52f4eef,14a5a860,983eb0ac,8e02def9,53f2ba03,604cc60c,80882e56,ad6b3dfa,b34b3131,7e37b973,9559bc2,6f85226e,705bf06e,1fcd818f,d5b88eed,f2d6b7ed)
+,S(3e9d0688,b9b67517,e25b526a,4e46be08,4e95a171,f9d99ae3,4cca6c14,66adaf6e,e1938d76,c4349375,1d5b9876,4ada7b7f,57144878,78805540,70b7c27c,9bfa312e)
+,S(c74f8dab,54590ad1,3fff217f,b62f43ed,7f42ffe3,6c8fddac,fb6315f4,a3406094,1bd8025b,57dd382,5b5b6896,e90ab5ba,fd31ef46,8f02846f,29f1b1fb,f90302d9)
+,S(71f88089,a8e0ac,6cd92e03,b1dafb04,76c0f489,f16def9,75985abd,5dcd02ed,839bb263,7827e6ab,f6941b53,67c9aa09,835c588,3956733c,267fb52b,6be767a9)
+,S(983d1cde,7d75d70e,328a8a62,ec82a96d,5174ed4f,c9676e10,7c282be7,bd408b07,5fe2426f,287fd353,173c699a,39407e36,c365c413,76986640,7c12f11c,5dc436a)
+,S(3cf9defa,a067fd0f,6b012fe9,8b05aea2,83c332e8,cbc8296d,c777951,9e62519a,3fbffaec,c77d872,7dad2011,aa314690,2806f763,b73b780e,375508a5,c77a613)
+,S(f415897a,cf653c3c,26fc5231,f375e28f,c23041aa,af05455a,e81419dc,25546e30,3a9d5669,806ef66b,7a0661dc,cb941531,d81fa7f3,e08fec72,ee6312fc,4a7f59e7)
+,S(5bfb64c9,cacbd09,244f3a96,d5a6800c,4a012297,95962fbe,a429b659,8e085eb1,e5c4ecb4,9cc4c685,a4fadc80,77889298,b94e779f,7f462aa2,130ed8b,ccc0604)
+,S(61a5a78,a086ccfe,9f54cb0b,750b7c8c,5c8dc4b0,e32f3c69,c65ce4f8,9009587d,50193c13,affe3a34,1ff3b8a0,b37f07f4,b49667c9,f8940311,9ecec58f,a76d8c60)
+,S(e74514ed,93784bda,ca6e30e4,da2a9a78,c7c70bf9,42cb4ba6,afdc357a,c694ed1d,ee4a8c9f,7d55dd09,c51117d0,754d301a,cc36dcb,49d437dd,ca46a920,7088440b)
+,S(dd9aa58,f2cc4c0a,8d2bf548,6dea653c,b4671e40,c0073df5,352b2a9b,95637617,6478aca1,582a65d2,6c0f42e7,48f06e60,ab85a494,d0129b85,5b5fdc62,7dc7f580)
+,S(fd7f2622,665c2005,9bdb8c46,d140ecda,ce013ada,6dcf3503,e28eae44,c2dcd83e,536c948e,5db2978,31e2ab3f,fee860d5,dd7fdd16,645cf561,67e484,f4a62c61)
+,S(9635dbcb,b2595930,835598a7,149a8a37,be64f607,c227b307,4d8e8184,c2ae99fe,1b2cb226,bd9f23d,bd243ea3,eb57baac,163f4e49,6272d220,9f436f81,7b6d9442)
+,S(642ead1c,c24db5c4,77d798b1,515083a7,7777476b,c3a03993,883a7ab5,e1abf814,185293e9,6e6dcd7c,209fc891,d96f9dfc,4012f756,7d3e2f1c,282eb0fa,5de46eff)
+,S(3c5be7eb,3aeab34a,2d982ebf,3a766962,822ddb39,527ab79b,83540818,a4e2931c,a161ecfd,2b906280,46d6d1de,c149eee0,e6c92ccc,5f936a51,e2a4c3,82e555a9)
+,S(c1a90946,6c0ea8e4,b60611fd,6c61733a,6d90b0f9,d1b7a761,1f9e3e84,6423bde9,f928d301,b6c27eed,79b8a8a,ba388ef5,24b17220,7ebd7396,5623e60f,f650dcf4)
+,S(e49d97c4,2ec1b8f1,43180188,382b265e,4216bdcd,82824a15,3a0e1d73,83207541,8e521e4b,95a1f4b0,934753af,cc3b73b4,7b3eb00a,a9c7af48,7e4e5a02,6234b733)
+,S(49f71f26,f0d828be,9e9a70c1,bf768117,ad2fe6b4,6e9f416d,eaf17695,80dccfc1,86f4404a,67e8e6a6,9a901589,d7c09873,eb553aca,41b0cb66,f4767621,76ff0d79)
+,S(487d806f,67635c8f,b66afe46,3754a5b4,64afa469,2ca69541,5d91a6cc,8903e853,b610d414,26951e55,46bb7216,6dfb62fc,602b3d20,18c38670,760f55a3,6c45c688)
+,S(47af5aaf,cc7b69e4,bc536d57,8f57b958,3fa17666,2d302141,54e3e35b,57357e38,b79a4c34,709d215e,dd3b0fe4,9cde9de5,b45ccdd2,af25bbd3,602a0c90,9834dbee)
+,S(84f79cc1,a257fcad,546d8218,5caae7da,8a8d523e,7feabb79,16ad7d8f,5421575,cc84b844,55ef03ea,59913a0a,1919c0d,cde9fd92,ce872029,57a998d3,80ec1986)
+,S(550b7e54,3d3accfc,eb488b6f,b2b48d0b,9017a5d4,ed54d55a,72b8ac6f,c83f6d14,91f318dc,ea83ec1f,f43d5172,bba5ab1,7891f3e1,2e162b6b,8c512589,5f2e5141)
+,S(f691885b,eece383f,1f56593f,92de0b34,1627cd58,389afaba,f442663,88aa6a32,1e6c920d,2eb76656,63c7586f,7907471f,79e5faa1,b6fbf4a6,c905e422,9a441638)
+,S(4e3c52a,96889e52,b99aa469,b5f07dc6,f6720e49,29f3961,fae2c59a,98ffacf9,ba3a3d9f,dccc36fd,a8642167,7f54de2d,4c079b2c,e70b46cc,926d7d9c,ef1978c4)
+,S(66720c8e,c638367c,c934347b,d8768338,54eaaa01,a81a876b,d2321e41,40381224,eb595ebd,67c5a08b,24482042,5035ecad,f20fcfe8,9a84a60a,93f3c05,a926d574)
+,S(4b01f86f,f9feb661,eb33d7eb,87f940b,74302cb7,449b0bc4,84e97af9,56b79d2c,2680db84,1b233e25,16b74190,fd3a0cdd,b8fce285,ed8577b1,e13c2205,9af0d3a)
+,S(dea430d,6a4b5e18,fa04f77b,55f85d36,df9dcd47,87ad5899,c16d2533,74494867,46b1f5b6,307a1c05,f3b42ff,e7a272c8,c63c2a92,19bd2971,d70ea793,5bd508e8)
+,S(3f987bbe,d7fe896b,8a8067a6,de49de63,670e7260,f255e5c8,a926b9d1,fb62945b,373b2f51,86d7d9eb,18570d3b,9e48756b,663cab9,df388899,7af923c9,bd79971d)
+,S(6cbcf291,56e3cb2a,b0d3c03f,3f4c0283,d953a641,9f7e8655,d8c46566,e3990b70,535c1017,fb40108b,24de2a8,358d217,8e47961,e5f4cca2,aa7e7c2b,339c60b0)
+,S(d253488a,5610a541,e4ce2cac,bf4d4901,5fe63dec,94615e80,d795b39d,9885201c,c58ac205,e7323ca8,9bfd284e,9c9bcf3b,89b05571,b84d3afc,d69a9a96,9ae4fcc6)
+,S(bb77470d,cf0851b2,29494d6b,e69aeabb,dac44010,17200af6,391cc2d2,352bd9e7,187cc653,b6b56e6e,6c9969ea,705a6d9d,3539d4b8,b8777371,b64deff6,45307942)
+,S(438c5a3e,1ede7063,eb928da9,693d7602,809b9e08,e49951f2,6a600eb3,e929ad1d,d2918af0,67d34eeb,d8f179ad,2f3f105e,a5cbfc9e,1f416cec,372a5175,8ae797c5)
+,S(35db0905,e28b3e7b,b8c4425b,8d9151b9,9cce6a6f,b6e11561,65b7e356,9191e69c,25963fe,ba45cdbf,5472c046,3da3279a,60a3f1ca,9ace47d0,4c4648b1,52d2e560)
+,S(6ef2e9b,79e48447,7532ba0,1b658af1,e27b13b1,f1635317,6b47d994,cf3c6bce,88cc8a3a,aa1f2040,7976ae7a,9bfe09f4,f0c1fb85,72f122f8,4aeee871,b87867ca)
+,S(c85fa35,4c064f00,ac39d455,7884f8a6,420c4192,aef2d6af,8afd61ec,2b977b33,3d17f849,6ba4a79a,bcdaf502,87fa5fe6,15d2c24e,58f27ab2,7cfb2d86,140a5f0c)
+,S(7f47028b,4e84f4a4,21909f01,85df2743,e3f18f1e,134f90ae,166c4089,a9d44803,4c025c2a,c2a1af49,fd7e1e3d,2ddab9ed,104a0e21,17895fc,36eaf9c,7a550e9d)
+,S(6ecc57c0,5c7f6b98,6cad9c94,435664e,3b036ae7,325ea091,234ac216,3dd0e324,67086288,9346eaf7,e6bc8ac5,25d60d5c,41bd9701,f5cc5f58,7995fd6,1c75def6)
+,S(46a2a28f,61fbbf15,c3afacaa,e181f527,2b957bb4,7f127465,fc03d021,76359328,88b36e79,2c071ec4,adf1a34f,a3d1114f,f9813f91,39b2db5,83320bef,134ace83)
+,S(a2072cb2,e25bc045,fe40dead,8fd3f7d6,449f8d7b,57adeb47,b6ae9b7f,7d6a5b2a,fc019c0d,8c9263f3,aed518e4,44c1e5bd,dcf796fc,7d16cc6e,c90c4c59,7877e36a)
+,S(fec203e9,60d4ead8,e3510545,3e73999,1ce5234d,a92a20f1,813414a3,599874c5,118cddc6,fe918be8,d2c5483e,c985aaa8,4d708767,4af70444,1fc0692c,b92a540e)
+,S(fd166bf7,a69d80da,6e03c740,2ce6f4,a05f1df4,e2a131a,daef89a5,86f73681,1e3f6791,7f2d3824,ba4ef07,86ed8f08,c65860a7,e6913fd6,8cdd759a,2deabf29)
+,S(a479787d,b514baf5,b46a578,6a221d72,2eda896a,a7fc1e43,4817f125,2bbe0d6e,1a6f7857,92bc5fc4,e2fcd87c,6b82ed34,20426f30,a9c6fde,4f09ae14,9ce426a1)
+,S(7aeeb17d,f75e9c7,2dab575d,2ad1cf87,b3eedf99,8df4b14d,d42b50e3,7895f041,8060c0fd,5f903934,d47f3886,8731ddfd,a6fc1355,53be9a44,38418174,37b79fbf)
+,S(6dd254bb,63c3fcc9,a5d1758e,90c0c6d2,bb1a19ae,788b351d,191d0261,cba75c76,b00b5cff,f3246b0f,ec835345,1d9df948,4fd903d2,e278ac2e,59d8ca20,647c2ba0)
+,S(d9e76bea,acd64f55,9a9c2888,5834317f,c24fe5f6,7e540d27,6233c187,76cd7323,4d079fbd,15ab81b4,f3aed0d,663178c4,33f976d4,f69af7dd,ecf61a13,b831e71c)
+,S(b57b26a0,55c4f224,865b22,287c9402,4c801618,c50b00df,33ef8509,a94a0f57,5abc4303,1701260a,f41a0e49,a100da19,8d033179,8b26026d,6401654d,39d53670)
+,S(e03c71c7,9d902be8,5caf4df6,aa401a6d,18592725,2f10be1,f4190b67,bee3bb8f,e5f16a54,ce5772cb,1390e49f,966a00e6,893ceadd,5a753c7f,9d82a2ec,7324240)
+,S(b7f3b64c,980f19f4,e4f46083,c1ca758,70f4313b,3c23c5b8,6acd6c8d,57ec0de4,5fd0d8f9,2a70c9aa,bcc1523f,91fa603b,e17fa73,fce73899,2c1d720d,3d55b1ca)
+,S(27b24868,2a1b9186,3a1f5c9b,a5010a37,2349c417,e1d7acaf,dd94c7db,c5e12733,c54c23bc,4e17418b,deface22,b8e527e1,4de1aee9,71c921fa,fb3f58eb,e4778125)
+,S(5d4b2b1b,5f9e640,bad96aec,6d3bc5b6,169411e9,5dac7346,d1f7f885,50679a14,80f0e3e7,7e8d6c48,62b1f6c9,c0ee37a3,3b98be7d,e1c6c8ef,12759b73,c20a2e3)
+,S(790a4189,63c3ec0,ba6babae,18ddb717,463d3ec7,c0b01852,5e760e96,ac5fc2c1,6db8b456,9f2fed97,783a6e80,413d8ff,cd0ac6e,d512f712,4cdacad4,4845242f)
+,S(38dd209d,705c3f63,9cbdb0b4,22160943,4ddf1366,56f2cc8b,22d27479,c5446f99,8b793f60,3621f6b0,1b1ac36b,cfd92c3a,7dffb7fb,fcbf831b,1db077ff,7482c25a)
+,S(29c6b2a9,24f95c8,58857951,cea2baa0,bee9866d,77b3f7d6,3cf9debb,16437528,c408f565,cc78e5,15a6e0c1,7a96392d,2952e25b,d067a0f2,d2f10eff,b54c2ce3)
+,S(19f1ab5,b54c80a5,a32a1fb8,1bb3f389,ebb53641,6c8a844d,3846c2cd,350420c0,38a56a7d,7eaf4155,4f5b8090,c06fcbba,9f516a23,340617e4,dc5951d3,35b75de0)
+,S(fa3d2b8e,d73ab5c3,24980054,27830806,3715c17c,7981db6a,61757048,1e1d780a,7bc0b4e2,4cde1ca3,e30ec601,73121a43,f87f679d,cfac6db5,a9bd132b,d6a89454)
+,S(908e538d,730377d9,d3585ae,59b0949,c46a6aca,bb04e725,70b189d5,57c26825,5e108800,6cddf00,39f7d855,64252cfa,d4a37761,2b58b6b,5fb2942,7e274af6)
+,S(e57bfd8,f38d456f,2e977090,d9f81673,db11a195,568a85b8,dd8bb725,a30d22ec,b5965e5e,e680e791,e87ceab7,156a3e03,dda7e9a0,9a9dcd76,a72dc838,d9e2e6a1)
+,S(aabc514c,b88112c4,6e6e1221,d61e2abf,dd7a3bcb,a2c7cb78,4d57dea6,1950534b,96e3d9b3,f3a4c3cb,1473f61c,e224dcbc,a535c90a,7d993409,ed079d32,3c8facc1)
+,S(94a800a4,6eb9506a,8f6dd737,ba45c697,4e563c3e,1df40959,4198d1fc,e499d2d8,627ef26,d39e19d,ab4d6bfd,9d4fcc0f,4bb4d97e,b0886426,40b7ca31,952be814)
+,S(1022de3d,6caa7542,ddeb47d2,1f82cc3b,6e04170,ed9d4ef6,81b58b81,efd6c3a9,2317f1e8,37716a0d,842884b,cd77cc3e,d6235dae,9fad5661,9f20a883,af459b5e)
+,S(9509f343,17c15f7,a54cafc7,3d4275bb,41e39183,53858724,4031baaf,97bed951,dec71a0c,7f8108b2,5e296361,2d6623b6,7b2f6d9c,69d7b6cf,d7273503,fc72b4ba)
+,S(bbf19e9a,efbee2db,fbd5eef8,492f52be,2e2f9072,6b3adc1,d16f0627,f4f19d25,d9e691de,f2ce976,c66d806b,f35a2b13,56f9fc07,7b7bb239,30668081,4b52cea0)
+,S(b5997bb4,5b359516,b28ee935,e4d59c39,ae434c29,5e5d98e2,2ddeff57,4afabc5,fb6d36a6,fb2e1aaf,d9b5d89c,39a854f4,a3cec053,1e1a776c,b4267b4a,d2bd8ac7)
+,S(fb746cf0,cbf2f56f,6a3a99dc,71e84cc5,af76899a,3a7d02c,fb272391,b77c8384,d1e4cf27,57373ab2,d1ba3f2d,d5bf8b26,a74d6814,23a5b16c,9621b788,a51e9796)
+,S(644facf9,e6290462,1a5278c3,f4a2ff8,84600c23,69eeb557,bc412540,c4966655,5b5ee0cb,449423fb,67c9b542,3868f7b7,6d1968b,9d7dd751,75e7dd5,2f994b88)
+,S(c41931cc,9c311617,f77faa3f,6b6f6e21,bd030c2d,9778b065,6ca105f,cdb8658c,8a759dda,8db8a8ed,eb1f2972,12858879,bb2f49c7,468d8edd,14d28525,ca3c0746)
+,S(e8dd9063,48691527,e4f4fc96,2a0e5608,d151aa68,53257e2b,1acb7d94,56f66aa2,470d108a,4180fbd1,2a377517,c5e472d4,680ec468,52bfa472,cc400ac6,91541a0)
+,S(6b48efeb,ea6d0d17,346fba31,8fa33deb,301062d5,94b254bb,db6dd28b,ffe27451,94cbae78,eff2064c,cf91bcc4,fe1ae3ef,3d767b63,6eb4720e,35f2340e,87c1e941)
+,S(1cb08c2b,72f069c0,e1e4afb,7ea73e48,a33f23cc,cb89fb08,db1b0919,62bedbd4,64d3500d,5b6577e6,6c18d3be,fc0a7dd0,833d3245,1ad03257,b45a31a4,67c14095)
+,S(2150558d,bc64dcb6,55224045,6d943208,7b7c7182,3901f78d,9702a736,998906fc,b49e2adb,321e0c49,ddeaa152,9bf83095,762ea96f,6c1290dd,b6ad29b3,c84b8657)
+,S(530f4c16,58284100,55a67001,eebf528c,f9286825,fbb60ae5,da4ecac,e3d7f4c1,80b147ab,1eae8922,50bf82fe,1a9263bb,41573617,7dc02e91,fe7e07b9,66bc6af9)
+,S(c5158947,8266dd62,fa495d4f,94bbe77,b1230f44,685ac488,7642576c,8d92e6b8,1705fd37,da813af6,2a799e41,3a45a4e2,4d2121e0,1065e692,ec1de149,43be7c90)
+,S(e6963d21,b576da6e,6aa6f1ec,da7674d0,d827d533,31e19d85,83ba0e7,31553f86,d3560d2f,91c7219c,76962a5e,3b2aea76,604b5ad4,82da8f8c,419cf2c8,7cfdbe61)
+,S(c5aa5963,a249a9a5,9445c0da,9537d482,dcb6ed9c,8372e455,4d440931,3c3f169,7e7f9c15,4ba213f5,981389d6,22af8694,b1efbdc8,18998923,92c9d654,92ae7fa6)
+,S(bd04e3d8,5bffa429,81310c7b,2c885f04,69f01977,2819f6f2,5e69621e,5a32752,dc4da51f,b88ed097,b17358d3,da4fb755,254d8ceb,5b0df72c,9dc995b3,8e145d9d)
+,S(f8f55476,4418c668,3390b604,c9f9f452,1ef63756,58000c49,d3b8b1da,80261dd4,9943a6e4,1b928da0,fad12667,cc997ea5,6af49db3,8c499a2f,a2343efb,52ea450f)
+,S(77dc24bc,5f32159e,7c3b6a3d,168a6698,43b12253,e403299f,b4fa3db8,74350dec,240d860e,c38457ab,6d741edc,e4fd8c51,67f75733,f12fe892,aece4f9a,578c6bd5)
+,S(9f238f7d,588d53f1,52da8118,2691194d,99a56fee,373745c9,aa2a3a7e,58d18825,dff57ffa,c2012315,ad6516d6,92902476,cdb2d3f1,58803c3b,4dc854ed,8ba9b756)
+,S(92f95782,a59da5c3,a12401da,34c24ae3,fbf3822e,355ec948,6020ac04,3ebbbb6e,1c6231c4,e09c414c,e0d3cbf,9be73bbe,4f1fdd,b3d65a41,c716f0f9,a39788db)
+,S(1b40dd47,f435579,1474b560,66a0efb9,88271a1c,19186bcb,b1715196,84f3130d,9fe6dcec,991d652,c9e13099,66b0aeb3,53869f99,28ebc955,6c64973a,4d983b5a)
+,S(473f6b8e,d4162f9a,2f40d48a,8827f79d,180052e1,7b28b240,4772fe1d,64cd82d3,743450df,fc8315db,72c01f1b,21c4eea,9c0a39e4,c1e92e33,91096576,37e97fe2)
+,S(40cfc629,a550b437,9e0941ae,fa8abc6c,8b492155,2045a8b7,560262a4,86954932,e627bc57,9c84859b,d2a9ba9c,9d7a69d3,8c8f06d7,ccd9e68e,fbaa0697,655a8a23)
+,S(4c91dbc9,8d2d2891,a7861599,ab55fce,943755f,5f7c909b,3f0f85a2,bbb75c95,5e541495,ecf13109,6ac3aeda,5324fe5f,6f761ddd,d2972fe,812242ce,12fd23d5)
+,S(1fe3c538,ac185172,44461f82,63961364,c3c74bc6,9a91bb4e,69973971,8e729d23,974c02cb,d7d97c,65f89b90,327e6dde,e627d96a,275c869f,22c14bf9,6be05389)
+,S(fbe873db,56579349,4ca9c844,8a6e0dde,226d4e4a,2f210661,30fe1075,bb11dd6e,c91061e4,d03f9f09,21f56d76,eb78640d,4df80464,459fc41d,4ca33d4b,5ebbc5fe)
+,S(b58277a8,3a6d6779,82af314f,7a41a69a,b1744e6b,1cfb4803,f52a25e9,8200957d,c8faf7cd,59e43256,33403b90,7abb1b83,d3f0cade,ddb9884d,77c5fa54,b55fc51a)
+,S(3949cb,e84b7790,a7a110d7,9c41d548,d379604f,ec567cea,e3aaf0f6,fd0d9b49,cdfe904e,56a9c88a,76292c3a,5da21100,57795a76,fddc1610,e7efab84,750617b3)
+,S(6ee9ab2b,537aeea0,bd8332dc,d810cb7d,36f8f7f3,57be2bb3,5d84e236,f1bca531,d75518a4,d975b0d1,e2780851,4b726626,dfc182a3,885900f0,4d82c839,1c64722b)
+,S(c2875d78,3e15f959,33bbbd48,8a24c65d,2001f599,3536fa83,8a3e056c,20a2eabe,e5870c25,20adee27,83cbeaaa,cfae7283,538446b,7cfd7ded,12e68ffd,3f66de8b)
+,S(88e26c2f,dd475547,8795e8dd,8285f73a,dd9eb9b2,68c1b16,65f1a701,cb3c81e9,d00344e1,9d14b3f,1dcf5c7e,8269237d,a2af90ea,93a9e24f,3a0040ee,d3f171f1)
+,S(ca8e8c50,660f3928,3cb72105,43710f56,9a1518a,7948689d,3d7e2ce7,a038bc55,57600213,1892bc9b,5afede4f,e71f5ec1,a1516039,ace088f,9a851278,c52b2487)
+,S(ecb6e53f,4330d0ec,b9aa3605,b6e6d209,222d611,72858b1f,d2663797,772e0249,b054af9,4c535d01,bcbd955,61770aa2,e08678ea,cd8de0db,d8efcdf8,623e9eb7)
+,S(a011ad64,55123316,9916b20d,ca6efe7d,e78c6b58,feee97fa,7f9e3fc6,8d889cfe,f53b71eb,63f87651,aa0de66e,a51f56f7,c5e3ee26,ed4ccdf4,1978d7b6,f0191277)
+,S(3ddda2f4,ec1b4020,31a73abf,ae69dd42,8d801bb3,fc96fd1e,b06334d3,cd7dc27f,eb1b6b4,137ca36f,5b160112,38fba958,32c5e5b0,aa5560dc,39600db0,624b6c1a)
+,S(13f5b643,e908dc91,415ff856,76357687,bb777f21,3972cebe,e8157828,53982d8e,bc2d3402,f3af6ee7,bef0ec2b,73c75e53,b70309ec,633d97af,b9ababc0,62d20ec2)
+,S(ed9fc1ba,60a7db8,93db8148,48790e52,4a246279,d938a04b,cf168ae5,71618e2e,b241c920,ab995cf9,4ab1b707,b06bbc7e,1cf7b8eb,80325934,d57e9e9c,6ba08459)
+,S(89d4f6fa,f6252ba0,d036dcb4,54fa5f1d,311ee828,1cc5ca85,73fe7607,7b16fadc,5f441ff0,56fd4e24,ca4c9efb,859d6e16,2e4daa4b,a7f3fc58,e42a540c,23b6075f)
+,S(4acfd390,e8a1b430,9af0c28c,87f51308,a1ec5741,8c194072,45c96c79,30498a3b,dde7b57e,5e5ab271,78f2ae5b,6494a578,2757f508,bafbbe64,30b96bc4,96728d2f)
+,S(8320cbe,fa7483dc,4f5e7b7d,d74cf492,b95b7e31,b1bdc651,6595b605,eecc134d,e766291d,13959f5,805de8f2,aa59cd66,8376d93e,4b775010,426db24e,b2ff41f7)
+,S(fbfa6a21,deb1d183,cfeda065,687a0b96,6d8e50fe,475a17a,7b690019,6e7c696c,f5901c10,5f30f5d9,75530b0,3f943caf,8de85a12,f54e4c7e,5685184e,8bacae2f)
+,S(70695a81,45fad213,aa14a7ec,d3c84f51,53e3906d,5483db4a,c6e8c229,ecd2c3b,febf34ba,9744a37d,6b91335f,c735c426,1208595b,3b8d048a,3fb48e76,2008e90)
+,S(89fd8cfa,8fd5bdda,b6a80bb9,96ebcc92,6074a15d,371622b6,1cd772f6,ae1ae9a9,85c2cddd,a8065ee2,244b3d35,61e9e057,87c6cc4e,d4b1ff59,53b736cd,d3876108)
+,S(342256b4,cfd8e5b7,5f5d088e,3a919d64,ccf38827,b18bdd00,2ee9a6c3,fb4dad,c54f4704,f3512e55,4d96ef92,3005e4aa,34a157e5,8bd6b180,e219dd51,16c4be16)
+,S(cbd38ba1,189a152e,bf78ea23,3eccebc7,16f4c28f,273f5c8b,ec9df397,9dba0dd1,d3df2ea,fa52ad52,9089c7c9,581dccbd,a2a0e060,7fd4b902,cc915f28,717c2d29)
+,S(5f7ae38f,61dcf176,45affec8,7514c624,85b880ad,38df28ae,b695cac0,fd1d27ed,9b955855,f74cc040,63cfa4d1,fd098e5d,e0030c4c,6dedee41,71bb5e7b,c0939226)
+,S(72e72eac,aef492f2,f3c5ce7d,dca58f40,c919a194,3662adb4,3d855a8b,532d194c,d7b5e558,a0cb091d,3b39407e,1dd58b95,30fe7561,6b4c3352,bfa51320,509d2d7f)
+,S(925a19f0,c73d85d5,674a62b0,2d5496c0,5868fd41,a43696ce,eb153a0a,2e5b8051,2ff229b9,6c23cdd8,2bdc56da,37495c29,78fae40c,b429a1c7,3111d392,3c5505c3)
+,S(baca4fb3,33bf98dc,165cb9e4,3bec920e,bbded256,e990820c,8f902e84,3f6e02bf,af304697,137728d4,e96a38d7,95b830c0,6c18579a,9b46f4da,a94a13e8,d3a0341)
+,S(fbe24c7a,53b90f3f,918b92ea,e58ef633,bb72e695,2eee6c6c,2210f6d8,8da9e0df,1febd844,af3d057e,c9ace544,d5fd57f0,c125c55f,1d9df636,4f6be8fc,bc53e3b5)
+,S(73b7de54,ae8a38c6,ccde88c9,3f526c2e,54d823de,a6415488,5e864a2a,1b0574,2cfa6943,634201d8,9438e6c6,fbb7224b,c2e6b313,538523f3,305c75c3,5c68aeb0)
+,S(84960402,31a60cd4,cd623d4b,80bc69aa,7cfa7c0b,52cd88b4,2f22ca66,17151dfa,b5324b5c,af293ece,38deafd0,76835e10,469997af,7dcccd89,172ad20e,f36162a6)
+,S(b6de647b,98585f7c,61f0712,76c6f62a,40926888,b1bab4fe,ad64098b,4b9434dc,f7180d81,be634f34,d878a645,2c662e8a,db9c18e0,ca7e7c13,8bc51e1c,1a5f5c0a)
+,S(e062011f,da416281,bc296718,300a080e,fe7ab89d,8469e8dc,fd50680e,12dd9348,c33030e4,1ec1b1c5,4ad01bb9,8c4e2c48,32b2516b,1b2b3b22,adc4add8,1b690787)
+,S(f7c7545,649b4659,49618dea,7fd15a06,1e7ee032,5d955649,b76b66f0,534a5501,2a929b2,a68342c1,81b2f55d,6b543584,ac06077,d95ad8f3,fd3f3ffc,24f56a3f)
+,S(bd90ad48,1694f297,6506e2bd,e97d5803,b810f9ab,7479ae90,dc1fb146,38d4d5a0,f973b70d,8dca64e0,c9384b7,ad3b4ab6,4d3c74aa,722f9284,a9da82d5,5c6d02e2)
+,S(cb5d91e6,68b3c202,b72a38c2,f98e6e4f,14bb566c,f7996d9c,c08aaa07,210b1b1a,68e9920c,597b633f,9bfdfb8,72814422,4ad69ec1,e435e843,73a9255d,79f52d7e)
+,S(d251bb9,83bf849b,8f058ff6,32ac6bea,bcd12649,4fea947a,f943cdf0,6e0c240b,5098026d,b8ec5c54,8e3ae103,f0d172bf,e84281aa,b8c0b131,16295587,ed4500f6)
+,S(27235299,c1f8d73c,268bca88,62d2b6d6,635f151a,d148c662,6c0cd5cc,1a3d2234,5b03cc60,f9224aa3,10d8193c,74e70cbb,6513ba73,d6d98ad3,2e1c2d,7f78ad52)
+,S(1cf437b,aef8e007,ba02a24e,735d8444,698e5edf,2f9d41d3,cdb28cf3,3dd53851,e3fcdb74,b580b8ce,8f6edfe1,c276c478,da11323b,4e96862b,926ca4c7,f739a8f3)
+,S(aa872c85,70e9449d,6cf020c6,77669c8a,7ad408e4,d9fa194,99867c6a,f77df918,572579ea,3d1d9575,e60a79a0,7a2aed83,4fdfba52,61b962ed,42e59322,c02fd873)
+,S(b3224a2e,80c3a174,66a9994b,717b4c37,424f12bf,9dd3f17f,6eecd801,3ee2ed56,7ad1cea1,128c1605,552b8be2,a5fb6bb8,907e4290,d76bc82b,e17ecc32,1be6fa43)
+,S(29b8f73a,7fdf6032,4c907022,b0107c72,ed951eef,29687feb,a8de56ab,4e47b8ad,19b849d9,bbdcf00,a6bba6b2,f1058695,4f286884,9b5be608,d6b4c357,1098f54c)
+,S(3c2f5680,96f946ce,3d048364,dce939b4,a05ae9a7,c31c2a11,d2a29a1a,3fed06e2,47701685,b698de43,ac515062,9c40a15a,bb952a0e,bdd96,ba4a1b4c,5f61658b)
+,S(b80f00c1,ec0d059,c9f5c69c,10cfcb26,651716d9,3d0b5702,b2c7b295,85af4c55,aac197db,ab42141d,31f63425,5df908fd,fd026d10,1263aa7,63d99414,adfdd02e)
+,S(66af071,6b78b854,16572c86,fb3e51e9,b6d66ebb,bfc2a2f8,dd664010,83c83435,b8b2ce8e,fe794b13,4fcaad05,821dd884,9a8318db,614d858,8dfd4d2d,65314398)
+,S(7ce8342a,6ea85f61,559cd2ab,e82debe,82eb5aca,142153e5,320562a7,6ba155c0,8a930243,5ebf4269,d75363c6,93ad4255,59f493e0,e492150a,9f110c90,8d7750a)
+,S(cfbc37c5,184fe206,7f7b5c6f,c5e50adc,ed58ae61,d9059bb,4ff64a19,f48483eb,bd567b19,3da2b2fd,bb8941a5,be9fc72f,11d9cfa2,4c4438c6,a4db3091,9c8867cb)
+,S(728c27be,52c5a742,859774d3,2d33fbcd,41e997d7,25d6be46,af480c8c,f9ec436c,745c7738,2a833cee,19808d12,9768c213,7500e8b0,b140e3b2,94abe97c,9a7c73e7)
+,S(4553277,fbb30c09,a1ac1ac6,cb7d38f5,88cd5f3e,d4ebf6bf,5b5f6e78,12d47d5c,3ea80bc9,dac9f1a5,ac4beedb,d254cc15,728f0ee1,6949ce97,53f1bfbf,98e3c78a)
+,S(7b752d90,9fd6d063,f1ac0f22,d8cf1e6c,78a335c6,ed11743,88192fe3,cba54cef,a252376f,e482ec59,2ac440e7,3aac3b46,a149e35,1aac2d51,244ffd93,f51d11ec)
+,S(e78e796c,eaba974d,89d344f2,b610e84b,d51443bd,1fea5422,d2bea957,5467a376,13f0797,376bcf76,b6ade4c6,a95b6446,962ff925,b32fef9f,4549aa1d,e64e2b1a)
+,S(1b7a8c02,83f25ac4,cd4a841f,4045035f,92a39bd2,c1903c90,4071eb44,5e8d702a,1843f757,7d03b6b2,22bdc28f,47c7fe6,fb83b25a,8d795b46,9e3ee9d1,ccf7623d)
+,S(90d06a90,6ad81dae,20cfc2fc,6be85b2d,41dd9f23,63e13423,c557c4c4,bf3e5e4f,6ba7a127,58861784,2d7ee3d5,9b71ec99,86a72ae7,71312739,79544095,1e5237dd)
+,S(d7bb4e18,ab61d8f1,de4b5bd9,9a5d03ef,1e0185ca,55ef14fb,be1f0b5,4cc4803f,311f268f,a672975b,acabcab5,1dec5754,48eb5a82,685e339e,e23b41fa,112873e6)
+,S(6d5f1808,f17e0b81,a6bf12aa,34032644,b708882,96e99861,fe5ba4c5,5546c44f,8eb304c8,92cee7e0,70649d73,ae76893a,610504d3,fdf37af0,92d5dc7a,9eab1094)
+,S(e4f62cf,9835a4e5,c2b7a456,596498df,2973192a,af2c80ef,c036c71,69df470b,874a48df,1a25a003,ada8939b,f727e0ec,b7d2e4d7,1efbec4,7193a2b0,50ecaf28)
+,S(7fb31d8d,b3d5b77d,4aa9d0d2,692013ce,c82ccd6,83a2235d,848037b,dc6bf8ee,ed5cfa61,9fb4e350,dc37e2a5,2bb67104,90dcb484,b19af368,8101e59c,f9f0f0a)
+,S(8887db9c,e3eddeef,ece414a4,f46ff048,3c4fd25b,14354869,6c60871c,5eaa9ffc,50294d61,1040a466,f826e654,3fb93f94,b4d60b11,d589287d,6ea33df5,a8dcf366)
+,S(9d9d224a,595c843d,1f70297c,13b3645f,385eec97,80fa9e50,d27115f7,b677aae7,af9d5f61,24594cd9,a3aa7100,ae6f169d,dfd467c4,1affefe9,c9a0a5e6,6d7f2802)
+,S(743d9b40,527b23b8,f165b6fb,9d5c14ef,450e1ce6,94439354,ab501eaa,2f34137c,6aad08c3,bf602b52,7d43e3a6,e7efcfd7,f24222fb,f8213f25,e8195501,9c8f0885)
+,S(63c850eb,f0cd6fc3,3bb7a4f5,6d43c389,1f93b11b,5f67e3d2,f9b7537e,e5a951e3,29d214e8,bde33612,a5a160e0,f7cf3acc,3b83686c,ec5d7c36,dd90ebb1,d97c7ab5)
+,S(b95608d9,84c13243,63809f82,b42cd16,fcf3c6be,5b19ccd2,249016eb,d93b4a54,41aabb2f,e7083dfb,ea380fff,2467a843,c88ef6b4,9740e73b,33a088a7,649fb0ef)
+,S(8361b632,5eeafafa,f01e3624,6bd8f0c7,aab461ef,cb3484e6,c1ee871a,7ef95114,34ac956e,791cef3a,baed24de,7f0f59e0,bf34dc75,edd10159,b3870248,255eef36)
+,S(807109d4,931731c0,a94127af,cc98e487,1fb44467,6d8cde89,88dfc252,868bc853,363e3944,be00a734,4c50afc9,cbb43183,f56eb20a,c0a5d9ec,74857484,ed9e1d61)
+,S(25ef876e,d1654570,244ec258,e7ebda09,35b11784,bf5afb7c,8652e5f8,bdb34055,63459bb2,b8affcb4,1f6ad9b,9437f3cc,6d8082ac,d400928a,29f11fdf,503c8553)
+,S(1aa87b1b,54eb6bd3,5fefb162,b27ad9dc,eee4b5ec,c1b69d4f,1fc6e230,d1848435,e5cd86ac,23c3790,369d7fcb,2189098b,a4fb3007,f82e5090,22e8ce5a,b44258d)
+,S(cce2b0fd,9497190d,e6ea068c,98bba7de,a8f50aa,12930b4d,9060808c,b1ce6152,b6aea7ee,becee274,2bd8146,d792a6e9,ae75fd79,bb8882c8,11135d0f,8d5e68c3)
+,S(fe421506,955b7cf6,f6a84228,30f7c6fa,95e4576c,da711415,5a49c238,e0bdcd4b,4e4a31d5,9b70b51,f73a4d02,eb09e4cb,7dc74a29,bef959ed,86558fc7,d4c8f401)
+,S(cb26c118,264778ef,512f8acc,385e5ac3,10b489dc,88991e15,13665b7d,587d713e,7375bbd0,9fb3051f,a907fee6,80683f93,54403c76,85ca7eb,97a711eb,69033c6)
+,S(8f286ae6,171d88d7,d82cdc28,93960bcf,53768c8,9cf1f149,fba0acc6,f5056014,6852d427,a888c5a2,4e748f2e,e482d38a,42879db2,2e824d1c,d72cf15b,8e32b085)
+,S(b7af4b6d,7eb4eb03,e827f099,fb8b02f4,bdca366d,811d031b,ae827941,235e75a0,7cea697a,e8cc53ff,8c738ec2,55a64e4,4a499643,4bc5e16,422ebb9c,17d3dd12)
+,S(c8471c9f,53eaa3fc,850ae514,dfa1109d,e89c500b,e965682c,6a4bc2f9,105be1e0,7d5f32ce,d1e758ff,e38325b4,778e68b6,f0ae5509,fcf9195,c1a79d41,57dc519)
+,S(8d192ced,73629184,ff6db80e,b2c6df4c,a8ad77f6,dfc98c52,9406e7aa,dd506536,3b01ec04,ff45b037,c1444255,9cb2f629,7b4f8cff,e4c3eed6,3b95d4a8,88fb2137)
+,S(318aa156,f4912dd9,7b90ae6d,c29b0f8a,99f616a2,5b023f08,ad35a8c5,10ec5015,b398cdd9,5ad52ba1,d7038cdc,67e36c74,5625fb94,f62b1b9f,aa2eb5dd,be6ce52f)
+,S(b7fcf98a,6a385f68,a1c6f9ee,c6f069c1,81b0c94,df8c05ef,b59b49e3,aad66f54,912e2098,e3b6e44f,46eb6382,83f554e1,80af035b,16c0eb3a,4e000cb8,d4ea2da7)
+,S(599b7a5b,e7a7cc6,3e0b66,38171c0d,41d78efb,92a9bc8a,1d0e8f48,b2b92fc2,afb3343a,1983a867,c8e196c5,92f745c,9060330c,1f0c0509,375e30de,3a214b7c)
+,S(c3578705,3221f18f,69dbc241,f927ec48,3280ade6,44c70129,2b30a11,a296db9c,2b75b2e9,fdef6060,29633ae,481ba7dc,8ca52847,d4d0a201,9da74056,40a980bd)
+,S(9e2020e7,cc4153b0,adc2b1ef,3cf607ac,305a480e,3a8854d1,1907fca0,4811fa7,19153a83,2c9a0612,dfea182f,a855a039,33035757,2e98e5ef,43f26699,3b8bc6b5)
+,S(1e0c4c68,6e5242c0,6645f4ac,6ccb18c0,82c5d5e6,c89322b4,3b6079b6,ccb5a5f3,63c4a4d7,3ab71f2f,c49f5532,b543e381,83ce223a,c8609be9,d6b72981,8b5dedfc)
+,S(44b11683,5f922e88,e7ed4328,cfb212f6,aabb6199,64fbdf3a,87dc7f24,faa761e0,a9181b5c,341cd78f,2e1446a9,e99acfee,7aa5b91d,4c7da20a,b7cf200c,f470ffbd)
+,S(940baf24,717ccfda,e539064d,f6e4b670,2ad8b60a,c32e38cb,fa4eadf2,6a7bd3e2,bf5ab95d,2cd9b68f,cdf535bb,84b967a3,f4fc44d5,5e6d21af,d09e1de,f5f13ad5)
+,S(4191f800,85767106,a9e5fa6,8521366e,a3adbd79,ea315b93,9e63f797,2995e7c5,662791d3,407f50b3,7a68e15f,5ee71991,2e893099,a907db3e,f818938f,9c3bb2cb)
+,S(1bb8ec05,76ce9cad,f96b418d,cb5c7d46,9b49ca81,7f253b15,8b26cca1,cb9a472d,762e9c6b,2335769,72396f,36a56efc,f2618754,f1c30923,30b521bc,4e0198b7)
+,S(c5216da7,91635b83,e55ec5a2,d9f3f8be,b1a2b0e3,cb097528,654c50a3,315be78,2536358,e58ffcbe,789d34e3,25d9f59a,2210c247,a80eac8,c716214b,9d5e520e)
+,S(7b1488fc,83a02d7f,d12b9eea,555922d3,f4a9c42b,52f030d9,bdd39156,f0890225,ae7dba7a,d95420f2,8c8185cf,5aa2b777,b9fc5c14,b6c47048,d8ef071a,77dd4397)
+,S(e245e4f9,7d6c69d1,5e244f4a,668afd07,d57fea2c,f8401b2d,8cfb6ada,f01f8891,88a0648a,ed5eab1,d57226e4,63411b9d,3632537d,699f39dc,7d7cbe5,49e76900)
+,S(ed78f3d5,1f4fb987,5918a0cd,d6e5280d,6516f5a5,acdee916,d3e7c7a1,d757d188,ebc569ce,9b3cd325,528cde0f,9a2ef54c,d9f920a2,1ba7785f,62ef40dd,9463a81d)
+,S(3e8d870f,bf768b41,8264ad34,89026fe7,8870e201,3f98696c,81dc3b7b,c0b1b599,28558e59,a6a6c255,a352cc9a,c20508eb,55af7449,8d75ded,c94fe414,fadeb218)
+,S(96125a01,8f901790,fe25b41c,f2f7fc98,50cd30c8,cbd05ffa,cb76bc45,94d5f5a8,125db476,3fc8ccde,492e7eb4,45873147,8f8ddc5b,6c2b588a,b72d9b1b,fcd4c43f)
+,S(779d9847,6fd72d41,937fe1e3,e12d4076,5cc61f41,19b37437,3919782,18a3dfa0,75a3aa4b,95523e05,42f38dab,b2d80895,cf3738fe,5152c8d0,96a587d5,90442891)
+,S(681e390c,323224a0,7ccd9520,23c9d89f,4069100d,3b275c5a,e773efe6,170f4e4a,a9bff0ee,334bcf6e,a3bc44e7,5d85acc,f753a471,ac008e0d,47b19ac2,476b184a)
+,S(d7b8530f,3fa18d18,ed94b938,2906e431,44ad5994,5eef1d53,e3290887,5c4af2b9,2efa5bd1,acc4ce6,73b8c76a,beab2e87,6399f84,94a1450,bd6833dd,debddb92)
+,S(1277ad75,6e965ecb,c8c04ea6,c22042a3,ca3e71e0,74334012,7063d3b2,da257a5f,38c90310,ee2bd94e,5f3149f1,f38d065f,8df110f,92f126f1,3a69013c,515134ed)
+,S(4e66e596,94c521a1,8114b232,427dfb97,8c7f14ec,7b5e18e8,9c11cb5e,6a2f6f65,47d553c1,8a858b59,f1aa8f4a,51803450,c237fd2e,60b137f6,d13647e7,6683caea)
+,S(1fc1e8bf,3eae2dfc,b141be5e,ea612378,209ab1bd,7ccce45c,d51fcfb2,8f192aa3,5632d350,ab6b3da1,599779c9,9cd8d7b5,e317ca9d,ef3245a8,eb62af95,ef769c20)
+,S(7eca2d92,8d2bf4fc,ed1a8336,eb87c5f7,b864b842,b3057c8f,97d5dfd3,76771d7f,969da039,7a37997c,c243d448,90d8110e,fa580359,bfb35342,bf69dec7,4bb17337)
+,S(2531025f,8fddd665,cf34baec,52733303,28e47e4d,827248ad,9a1e6c4e,be3db9a7,e404fbcd,d180b2ad,931b4f61,5902eb06,cf00f66,6f1323f7,bf0652fa,94dff64d)
+,S(dd28941c,bf6e4bd,76b4bad7,88f700a6,8c4937a,67958c3,bf6388a9,d5e26441,cc45f07b,9ea1a81c,8d89af84,8883ad1d,53ee8a52,2416c445,c4963791,7a366909)
+,S(d3af9e12,53ffb85,ec7829a,4d41d704,1ea62952,4d7452a8,d9ab6ef0,1d6b509b,9c115e78,91b383ec,20739d37,6450a2e6,6f332e5e,c7a3a97b,2eca8c0,ae819bbf)
+,S(2c59063f,13ac98a5,ed196aec,4f2aba11,c8647d78,42be85f4,ab87a007,2b49001,e9738418,cbb6e31c,f588a3b8,70883f90,ed3bd8e4,86e3c77a,37fd1152,c22637d2)
+,S(6c0ace3,f182c963,45deeee3,c41c5e51,8dce984d,3d409a89,6d766ea1,b1ff0e0c,17e09dc8,dfc53cb4,952fec4c,92782ce4,3515544f,6181bde1,1d1ba1a,bda709ee)
+,S(f161125f,3a229d29,2053fb9f,6f118550,43d80e33,9bd45af8,c1519043,2098c9d9,1b442ffe,a186cf2c,343b90b3,66a3a008,e08edf90,f073e740,abd5d20b,8dfa1327)
+,S(fd081f05,6b219fef,56a3fc1b,6dc7873a,fb054b40,1b3ae0b2,414384e0,9080827a,9711912f,4ceb0036,3e5921b5,c2f7ca49,387b78cb,f1b9c2ac,9c5d5d1d,1bd8203)
+,S(72c6eecd,d87657bb,ffc3a03d,b6e1f9dc,83252d2d,c73ba3f5,8642fc08,fee42b4e,282180c1,7737b51e,d047cc50,64d53cec,6340eefb,d969525e,a1524f0c,a305e39f)
+,S(10df231d,4582143f,1ad7fe00,508cbbfb,3d49775d,f13dcee1,d6155768,c14bfc51,b7743bf4,e7cd49f8,88cd0d26,ac196037,e1da9402,26518e07,407bad1d,20af7dc6)
+,S(354e8b0b,e40bd9a0,36620006,744c0913,5bd4bcea,34ab3371,9561e36e,f465956a,3e7407a2,2b9d71eb,a04239fa,600834d7,5f643c8,b4ca6308,475f6c9e,8d35fd4)
+,S(2ae99ec0,6a4e080e,879a60fd,a93a47df,9ba7e0f3,b87a6772,be6d7e23,9bf2c42f,3fdfcc57,6a36adbd,52467e01,f3490fbd,82766cea,b956f80c,7b1d29b0,5066c31d)
+,S(f47ff09d,5e93e827,72e73c7a,8f1623e0,823b09bf,86ba3023,a223a680,fd849bd9,379ad3a3,cd546d27,35fbe5d9,97c3dd8b,8c45a3d1,ce8e9c49,b23bbaea,e93a08ea)
+,S(252c0934,acc3a624,c4d8b409,111b248a,2242dba4,7d57718a,aedc9cfd,20647cdf,17b7a015,a2ea993e,89a7161b,f50124ad,561ef131,609981ac,fc92e495,cd2ec91d)
+,S(b7f6bde6,7cdbbf9,4a3e06b7,dc1bea75,d6247197,a8617a6e,a1f65f44,a7459006,6d6ad596,fd3472c,9d7eff56,943c1a03,ee4f540f,29782f77,afe999e6,14f5e316)
+,S(210c956f,e0a741a7,edad58d5,d47a2a34,fface7c,5edad0f8,f4953b72,28350b2f,4d4498a0,892a9a9a,4e87ccdf,424d7910,bf90fe95,186653c7,6e6966a5,e7a816b8)
+,S(7ab93adf,b8f35eef,8af99e5e,e37aaeee,401a1936,fc0b8c88,518065d,12f4a74,4f0782b1,c78954b,8ce37bdc,7e533145,3b885d92,da1dbf85,940da9a9,b7f0dd8d)
+,S(bbe1b787,9c93e7cd,891f628b,c9a655e6,f4c7cde4,fa799596,74978224,9fd05fd0,493d3dd7,be33acf1,38ef5b73,8eb8f8f5,4e270323,8f70078d,5f7bd9e7,177088cd)
+,S(61f42d35,ffcc6151,f8c93b21,5df0cab1,fb804cde,f9c68818,fc4f413,b804942d,46ef1e12,d6add082,3917a758,9c137d45,c38ae2ed,eadd847d,aa574e06,18708396)
+,S(18542b75,3e78191c,b3dabcf,f9c64a8e,5e4b075d,d600fe60,b830e732,7fbc7b40,6a816e01,41b17e86,65ec280b,f6da9dbf,8061329b,6db9d13a,a9f10c0f,41340118)
+,S(ef83d0f4,a3d2963e,d14e708c,6d22017e,aa97b2f5,23b06f1,140b4105,459781d0,5587e5,13725819,1b10bd40,e616e06d,16a50392,7a8b1394,a562c396,973d98b6)
+,S(fe73429a,7714dac6,ed0db327,d6949d43,30d2b16e,a513d3b6,7b74452d,78a82a4d,7079088d,fd828815,ae087319,c232817a,4928f743,843a4966,e9411276,d16214b3)
+,S(2e8b8a63,3048900c,4b82ff8d,fd86a971,86e3f1b4,6206b252,f06a8c85,82555130,74e10dbd,ca84d796,b3b37ae,b32624c5,2c5aabc5,d4fcc5d2,21c1aed4,71c940b)
+,S(9f4164f5,4f34a59f,3a7be378,66a8204,def2fd98,8dae6dbf,5d471e0b,caab7017,4b662fde,bf2615c0,8c7b53d0,b2915d50,ddd2916f,a3599d81,bb2eab6d,80e93f57)
+,S(c6f3a26b,adab6699,aa08fcf4,6f0ac900,2be3597c,16133225,6a5e6577,11b16ecc,f29db1d6,579d0e36,4528c297,36019f4b,6e8f060d,ad5effe6,d357d709,882a250a)
+,S(76a4f5ef,6a869e28,e6494cbc,ffc6eec0,1ca983ad,1b8219cb,d2b84eca,96f8b910,e1d8bd7d,55a297df,32ee185c,c60db286,a2e46cb1,312a8995,5923a068,cd3318d5)
+,S(d2c25c8a,cfaa0b2b,3f6e70d5,bf095700,68102f8b,24867970,ef3c8000,b2212d1a,bc907681,9c7926dc,bf81278f,7dbfc4cb,292a8071,177ce8a4,f4e9346b,a2d9e500)
+,S(b2fc2ca,5a30c678,61b0bd22,5bf2c088,26d799a5,9c9a680d,dabac9aa,5cb624fe,d4abc7c9,fab915d0,fe9dcf59,a0f83ca,56b27566,6e9841cb,b5b14874,5f6732ee)
+,S(110ef531,7824c321,ba7fa94f,ac98de3a,c6cf44af,db92b7be,1006c751,9b425065,cc3daa20,6c0eb83,6bdfe640,1f7461a,261e7233,c70e615f,db82a991,77b83cb7)
+,S(fe21a607,7419ed88,12d16ba7,5485e01e,3c063359,f95a8634,3aab1c84,ba6ac00b,d6e08c98,4b7a5282,bc1857b8,82604fc0,692a2fa6,40cf5a5c,d298f344,54c836b7)
+,S(c5e45275,ec85bb32,edd32702,7d7d87ac,8394bc51,722e0bd9,58281e61,c454fcef,9b158ee7,89034035,fec4f06f,2fc81755,59f9f762,38742715,92ca6ff9,e5712a8e)
+,S(cc68f3f3,36360481,5583d65,7da51968,a4a44a69,1264bac8,289791aa,dc7a4ef4,9db5cab6,7b31f3fb,f3b5fde2,273496f7,93316358,6d14e80b,bbca4613,319df9aa)
+,S(6d33be85,5fe8bade,89109a3a,8c089aa3,f7e9d178,969100b7,eee7a693,d83ace80,9312736,87c08455,c43b4cab,afe71408,333fbd69,d330315a,3fc9a52,a9d473d0)
+,S(5aa581c2,fc48c38c,2aa2e176,c12f12b5,4810ff6f,862fa17a,196c06e4,812b9e3c,adbff08b,bf6fd5e9,9f91f9f0,9881cfcc,a7b5c2af,709bf838,6055079b,2f75f3c4)
+,S(12eb2dde,dc6ea4e8,dfd43067,9d45052b,b882e4d9,bf516b,61edaf00,305fe883,8f948ee0,f8514f9a,1bd8a71f,20c95e4d,e30caa5b,bb3a383d,9561f027,34bb1950)
+,S(3d0d7eda,43045e9f,62dc680a,be47e933,74a95d59,945b69cc,60acb89d,e40dcded,45c53d35,e369af07,eb223a79,1d148ea7,1875cd1,8ca066d3,399743f9,65e184b4)
+,S(173d4741,5803d266,7ea94abf,319c5917,204256ca,e217647c,c024a9b3,be7b70c,2da6c348,cb066462,eddfe8bd,3dd00ec1,34a0a060,4b7e17d7,e6cda389,dd4d5463)
+,S(10659655,e2f1ba5d,db390184,c2d6d1df,1cd2abfa,4cd4bc18,c89decc9,5b5d6319,5ac2793,3a88870e,d5c7752a,459ced45,69435a09,7cd0e030,25608cf4,ac2ae267)
+,S(e462be7c,380d7bbe,cd45c6dd,8fe60219,404b0c9,4c5e0e4d,31a23064,2b5b95,872183ec,1ba5b854,1f3f99d8,ceac80c5,9e84756d,cae2e694,9b43ea7e,d1cf752e)
+,S(8200badd,1df41faa,19b20cb8,efa424d2,2f39b1f9,26b692c0,2a0ef6e7,feeed67c,8402fa9a,6ef0f83f,42546b05,360296d3,74db551a,d89be995,f2c11866,5be528b3)
+,S(760e2457,a3e1a165,526e9fe2,2b5bcad6,e8107581,337cecac,e2ae87dd,a3c54592,c5111ec3,24158a21,56b897a3,82bee2bd,de0f9df,af9ef611,a7fd3fc7,4a635b3e)
+,S(ba6229c7,1729cae6,5275719d,9a35691c,f260a003,168f1a25,1ac00b09,aa17872,7d281600,6bd8981,82126d21,70fa0ab1,d5dd0c7b,cc377a88,c43cbf61,70a633c3)
+,S(a2cf1392,571e758e,6ec74708,dc45f70f,90833ad4,135e7a34,9d2810a1,8efb5216,2420ffdd,afe96506,9e6f9266,1e3839ba,c9b1db40,d40149ae,3acc8683,86acd175)
+,S(f8822204,27cc4b37,33268925,fb80beb5,a52e5391,b2c8e31e,f6e99592,1775af20,6cf6eb9e,b19825da,6edc5d2a,66f3987d,c9eb01e2,b70e6395,abe2903,d43acee)
+,S(eea28950,fb676991,444f96c5,7e42ea16,aa380e3d,dde63111,fac35708,a4e45b3c,34d30722,98a686ec,7e1a8095,4e2911f1,5e11d426,ecacf11c,eb45a5cc,7204114c)
+,S(7f252a72,6f9a1497,f61bc4ee,7b194a31,432c0178,2f40b16f,2d36e9c3,7279e25f,8edf25c5,f50c6f0d,f8a17f92,611bf024,14e02d0c,de38aced,e96d5a7f,4467c449)
+,S(d3da23fa,56881cf3,a42a50a7,42e1067f,54ec24f,2de19921,b1ae7f15,fb90509f,b4ec4b17,8e555cbd,15210f09,bd1ab43,28e458fe,6aa3e800,44bf0093,ea08f90c)
+,S(6752f294,f8ad85e9,60b6a88c,cfca7874,5c80ed7a,93f6f05,3782ac73,d96e31e3,976222ef,a6f6358d,42d6289a,4f11bd65,e7e755a3,845ed49e,3c972b5c,5fdb2418)
+,S(4fe21b06,24a45b69,7f42aa54,10e6385d,645a8d49,2a61ece5,c8d5b2ad,1fe74efe,f7666c09,7caeea3a,c4b2993b,64f4c0cb,ac934099,8870ade,b7cee48a,c3c2c413)
+,S(15af87cf,6dc1acc5,1d323a36,b2daf163,ccc8c201,a92f0677,6a26ae27,7fb9d766,53fe4566,6a975d35,ed20a5a,7bbe63c4,4cf8011d,45e7a171,d5d72e57,5debefbb)
+,S(656f3686,c60039b4,4c39a5d3,ee82cd08,e8aa8ed4,b9a943e,42281407,4ab6821b,9f277baf,2da730b3,dacc2a43,512411c0,13ffca65,7092e695,d49c8d24,a4cda4d5)
+,S(a13286fd,2c17a61e,6bf8d209,d64f5879,2534b037,cd854470,a09c8c8d,95aa0564,9322d3d4,c735a485,5d76e5d1,fd27fdbb,a8af2fcf,ddf7bdf3,f9e26f97,7f4cd1df)
+,S(3b355928,4ddb285a,1eab73c5,6e6bc554,9f40d83a,2b859e01,a30032f3,a5a7109c,780670b5,67755fa5,10fc3385,7745a69c,bbe73e3f,8186b3c1,8a82c51d,5e1d9be0)
+,S(b0b15be8,6c2dbfed,6da6e7c6,51c10b17,504070,7d1747c3,ff2dddbb,256fa495,8d2c438a,42750adf,345332d,f02f6c4,55a07fce,afcc51e4,96c270ff,913546e3)
+,S(c754130,bd717ab0,fc17e14d,dd6ec50d,aa6bc02c,a338cd9a,798ee62e,72d517db,fddf938b,28500dd,c9f1fe0e,70104564,d1bad398,d3bee900,ff609c8d,f56d3b26)
+,S(ee615579,33d877e4,9bb228e3,62766ada,8615d382,c022c333,39f78ff6,5e5d9ceb,3dd38b15,5ce01a1b,3d5434f1,b2e04a26,6a830f47,fe89263c,b0ad1b5e,18bd8b76)
+,S(f830dd7,4d03a39,d7f5ba3d,132b40bf,130b33cb,9b6609e2,12b6479a,14287c9,9183a68c,33c2d25d,c237f8ed,b5a63d44,4dd2bffb,d1255631,221edb9a,4c9e9e91)
+,S(544fa477,3aa3589d,9e63c8f0,f30cd189,a8b6658e,ba908212,cb1b4caf,2d5f64ca,bbf57d7d,b5c6b8d6,e202a7b9,8ed06edf,e1a9ad01,381da1d8,11405fcb,8ef717c3)
+,S(9b270440,132f5b09,6fec6214,dac1e27f,3e6c6f7f,25eb2cab,680c3fea,e0b41b1e,a7e591d,eb990617,6bc87263,6ea19e04,c9a3aea9,59059078,2a757fd7,6d99c6dd)
+,S(bbd69c5f,f0b9228b,cfeebb97,32b3c316,c14d9a54,d5a3e9ca,ebb337e1,e33525e4,78cc6c84,8c246e7b,7636949d,4e3f2b94,989c77c4,812b8189,cb857cd1,3457c403)
+,S(a920edc1,4ddf5bda,56719c0c,2adaea7c,9aa8aab9,25a5d6fd,41172725,bc65341d,b8afac74,46e560ce,bcaaf438,69dc9287,2805fc14,122cb19a,bb59e51,8336ff80)
+,S(3c6e9595,a201956d,ed27e83,41b22822,445148e6,d00b2fcd,ecfdd66b,2405ae3f,2b8ef9a7,d7c37d0,d2b77309,74718eba,16f221a5,f3074678,317f0b6b,7b0841b1)
+,S(c35c9e45,3f487f8f,ae5b6010,e1bc1ac3,ebe4ee53,33666876,13cc4b35,5162ed91,7a8e64d4,9f827631,579421ad,3c7f7ea1,f4866432,a341f955,6741c521,c757addf)
+,S(8fc84331,a8f8dffe,28f30d71,b39c105a,ec09aca,4876241c,1c81a223,a1953637,aac7257a,cf0fce3a,ff8fc7ea,e8d19606,2ba6d7ad,9b7987bc,35a92b9b,20360174)
+,S(b43ca4ce,f1b4a2d0,1a20fc64,2f3e1456,317f729a,1ee69798,4ed88bfc,1c5a2908,39ae1e51,f352c0c9,8a79cca6,cc859eb7,92bad6ae,5318f99d,d62d3bd4,d8fedad5)
+,S(7f29c501,75628aee,5d39db41,cc4d89a6,9f133f00,47500f6b,aa7a90cf,e13159d2,cf17c6f2,f6072b50,257f722b,5756d8ad,c7486cc1,d21a925e,8cd29a15,4b514cd1)
+,S(3fb93959,55ea2522,61b0488,212e15d6,b28e975e,5ff5f357,15337538,247f2a54,7c3db409,e06d6980,d834639f,e9e357bf,e6a4e9b0,ae6b4fb8,f5e45143,ff625ddd)
+,S(945ad871,18199665,a4078a46,a9596bd3,ec7cab84,b6323a0,7ceefc63,d7ba29f5,6eb6d896,a24d02c0,630c909e,65d13d4c,2eacf1ef,6e600b89,1b171594,aa28c206)
+,S(513bfa93,57c827c1,b3c0289b,c4ce443b,cadfbef0,b28b32a9,265ab85e,67efaf4d,645c5b3f,d45030f,1aaea514,baba7069,91def89b,56fdc292,4b684241,6653b6d2)
+,S(d41b35bd,421ef7bb,1c03c794,477c2851,dee92831,714180e6,6e57e735,caba5835,beea2116,9cf971a5,ffd83596,d9bd77eb,cb1e0c7d,506a45ae,be8c0c7c,22738f9d)
+,S(96006d64,fac8f0de,88f93e05,da8e76e6,40afc1b2,8ee09a7d,5633643b,d89ee3e7,1404173d,e96a97e9,ae9bcad5,c9093d05,cba96479,30bfe6d1,96664d0b,13c93618)
+,S(ad528227,12257f87,d1ef82c4,4af5f046,648c2a72,497651bc,2327e971,1170e7bb,2ea908a6,c742f542,324be959,4746ee48,4229d497,cc8bd535,e7989525,aa36f079)
+,S(b4709a81,c067f6e3,93ef97ab,c26675da,6f01a2f7,e3f35275,e7089ea8,ad5644d6,f655b89b,d6a83838,ffd23f6a,fb944bc0,57fe7f1,1d321a0d,2152568d,91751d99)
+,S(3b7bc8ac,5ba85b40,2080612a,84e0226f,3b43c8de,c0e54b6e,ea779b76,812782f0,8405dedc,a02825f3,5a60333f,190001fd,98ea3995,9dc6e61,c28c5e2e,5213fb0e)
+,S(2a76b67,d197e7a3,7a38bb10,d49d523d,c4beb4a3,75336974,7e22e407,9e0310ca,6331389f,b9cf9fee,e89b089a,95abca6b,a3c2aba5,38725c1a,6848fa46,997d0e87)
+,S(9938e808,77c2baa4,53e0256e,d250439d,b11732de,1abf7555,949a7574,f62819e3,250b061f,bba0faa4,468a080a,fee8264c,f72fc12f,2ac91dd7,13ed92a1,1b281124)
+,S(7366eac0,7e5e4573,333291,3e42f111,e53a78a6,5069898,52db2355,de089230,b8dfda33,31646343,bfb60b2f,25050967,e735861e,1654f0f7,ff42ed9,5dd652a4)
+,S(10fc632c,cab22fd3,2583599a,a2efaaf1,6e1b01e6,a5a96c59,50871012,33022152,cf53d9ec,c74aef44,7019150f,ddfde494,c2382a07,b2dfd73b,c628478f,7fbae0eb)
+,S(785f4da0,240de52d,bb50b1bd,bc53994a,47318076,9a1fe06e,5a40a8e,e677ce63,9b5759d2,f77bbb9,e40ac169,a01500ca,6dd6bd70,6a003871,e7ba4d66,b32db9e6)
+,S(a7f20615,593850c3,27aaa06f,c03e0d46,d3ff20a0,9b849810,1759638d,8cbb9cf,13b9ebb6,f0cd59ef,54e0f935,87a14fe1,2337e346,94f5e8f1,10323fbd,d7604d3c)
+,S(cf083e4f,e0ed4444,85dbd99d,8e6823bb,483eb749,b94ce672,8671de8,6105aa4a,36eaa305,37378494,17050dc2,8290c74d,d9ff9df4,cbfa434a,2b89de00,e06f3099)
+,S(9fb8c370,bca485d1,dcadc251,ee906f58,6f3e177,be37baec,6912e535,f5c7ab0a,df5cf77e,1ad07532,7150136e,7ebe7f35,1db47415,74444b24,e9cf2f4f,31ec683c)
+,S(ff9e2f29,170dd456,2c94d48c,eeb0390d,db783702,c13574f,8a8c6a79,6427adca,784c7b68,3c824603,5077911f,957aa33b,47534180,d70a60d9,f248b860,736a24c2)
+,S(802343c3,e07f9f9d,ed2ca436,3e455427,367b852c,d23ffd7f,fd690eab,90b4162a,b093f0c5,f0fc7d01,a5dfb7f6,bf9d90d8,8595140a,a13fbfc0,f7d6af2f,54ff5ce0)
+,S(ae74ed87,11a1a684,9e558e05,47ff8f9b,f6337551,1dd3d272,ee0597fb,fc2d6914,c304897c,e5afb5b9,a383cb64,e85071a3,cfbb2981,93ea6ce0,55257ba4,cf15bec6)
+,S(c099b05a,dceb601a,14892c97,7b267152,f29ea71e,fed6090e,7267249e,43c2390f,6c3ad3eb,8c95c72f,e0030a7d,34329945,fd1eb71d,8c4aa1f9,8fa4656c,6bef067f)
+,S(97c6949,a25581f5,945814e9,9d590dff,67d936d5,94101005,4cac33d0,fb3658a5,cdc7faad,5bc387ce,a16a10f6,6971e5ee,6d32756b,596adc14,57081ad4,1dbd2e4e)
+,S(14a19edc,a1ec89e9,524548ef,cf3dbc03,81b14b46,928f7425,87b11df1,7aa721f7,f83c4d0,aca08709,63a017b6,8db3434d,6088015c,2ff1d8bd,739fd620,35d1a19e)
+,S(4742af63,c7597424,e6d04a8c,cb43142c,54c5b350,175bf5a7,27c39820,2187d00e,bb1f2f72,b21e15f,ec17af32,2147edfe,1ca80ac8,3e030dfe,8be39fdd,f340c56d)
+,S(a6597869,4d168b00,d9df41de,fcd48ae9,68313394,db683407,330ffae9,f2559a11,6bf65c42,13317a5d,fb561e8c,872c8b1b,90bdabc8,8a8d2e1e,39919f8e,5043ced3)
+,S(9e62e468,1e22abde,4d7a2fa1,2f7867f6,ecbfc15b,54990e26,821a8cde,fed76985,4877297b,a64fa8ed,c039ab1a,e62ac72d,8d7bbf05,7513d1,4237b8dd,9f1acd37)
+,S(d24333b4,de55b0f5,d47c72e4,88cee8ee,8c960903,260a64d2,c89bca45,db7352c5,688b20b0,617ac12d,5be38fa2,ab52e785,69766a83,2d8b44d5,cfd6ee88,b19b9f1d)
+,S(d203301a,13d1c8ae,a8c79007,1ef8116c,3916bb3e,dd5110a7,304b9145,465be838,a606dcea,398dc313,e61c8fbb,dbbc3874,3c103297,164e66a1,4412a21a,5319e55c)
+,S(d1aa98ab,7010146f,16a9d6b,cd911535,2595bfa5,1bccb3d5,5e3a4a87,62666610,3abafa4,999294e8,80e3fae9,edb4206b,9b9786d,bddcaec,e2d01cf1,ab715690)
+,S(1e20823e,81051b2,65535085,9aefed6,3631dbe,23b4e79,abd3c17c,21f053f4,e238adb6,86592008,f7fe34b9,9b934060,15c323ec,55981b27,85feae6e,5fde7186)
+,S(d878afb8,8527a861,4b4276d8,fba39300,72196017,6f437014,980b7bbf,d4320ffc,7403107b,fca8ac64,baa94a4b,128e72ee,4a015675,845519ba,d5609331,1680e7)
+,S(53f86d45,61deef96,ca88a685,38fd35ec,a95740a4,3a52c601,faaad0c2,aa3ab72f,667a6ece,bfb97682,c5e9e5df,b6d29156,9604f63,d9ab00ab,8cb10000,e6b01514)
+,S(20990660,f1055420,b885fb0a,38824740,3b141c37,5aa20dce,8a29191a,e77bbb16,7d434476,9e302e38,9e14c02e,f5fd8a5c,64cfcf3d,e9813f1c,f53bc6d3,4da93559)
+,S(1e70619c,381a6adc,e5d925e0,c9c74f97,3c02ff64,ff2662d7,34efc485,d2bce895,c923f771,f543ffed,42935c28,8474aaaf,80a46ad4,3c579ce0,bb5e663d,668b24b3)
+#endif
+};
+static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = {
+ S(8f68b9d2,f63b5f33,9239c1ad,981f162e,e88c5678,723ea335,1b7b444c,9ec4c0da,662a9f2d,ba063986,de1d90c2,b6be215d,bbea2cfe,95510bfd,f23cbf79,501fff82)
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 1
+,S(38381dbe,2e509f22,8ba93363,f2451f08,fd845cb3,51d954be,18e2b8ed,d23809fa,e4a32d0a,fb917dc,b09405a5,520eb1cc,3681fccb,32d8f24d,bd707518,331fed52)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 2
+,S(49262724,e4372ae6,f6921b82,aa4699a1,f186aea5,40122630,3ea42648,97c2a310,1337e773,bca7abf9,5a2cfa56,9714303b,6d163612,a75ff8ce,c41b681,5e27ded0)
+,S(e306568c,1a240c90,d5e253b3,e477e2f8,4dcc1a56,ff06db8d,1384b079,cebd2d31,eac6fe3,78934260,888f2b10,7f7d0db6,ffbc8042,be373826,692b4083,92546e44)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 4
+,S(3b9e100e,2428cefc,271b0e76,23fbd633,74ebf8d9,aab41dd9,c530c39e,363136b0,fafb9815,2d16bb71,df1533eb,8f475b26,a2ae28a3,3ad31f81,953ec16f,6cdbbc8a)
+,S(bb0aad49,712ac9a9,2b76ca80,f5dedef7,17ca0768,8107beee,9608f047,2f485d3f,ea699c53,c5835479,8ecd201f,7297da34,895a5afa,31670bff,e7939250,3ca2f975)
+,S(79090ac8,e4eefcc0,d4e8eb19,7afe0113,e1e58b4d,b01123de,4aeed33a,36718dc9,eaab722b,91905b8f,13d816cb,cd9aaa56,dd36afb7,ba9008b,963322b1,1cfae7c5)
+,S(e77c81ad,e9f97b55,1c03dbbc,e549ba66,8dd71de7,cd775ad2,a269694c,7f60c7d1,3acf1478,eef81321,c5fc3b32,3ea81543,631470f7,1c2986d3,4ec581f2,82d72449)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 8
+,S(de2b5ce9,dbce511c,f2d8878e,3ded87cc,3d633dae,a2d45341,501fb3a4,55ccf6b0,f10576f3,d3c3e0e1,bbf717e9,8b1a3744,65b8c45a,c66318bb,34829eb7,11100666)
+,S(d07bddff,d491a2fe,1ea59fbd,7c121217,29659ca5,de46658b,26b1460b,13c03c56,b2ad4708,cd3c97dd,f9c40e2,a1de04d5,61d963ff,8cc2eea7,6be3f60c,2b405ce7)
+,S(82403e7c,5d3016af,3765ec4c,396ce8e1,f8da45c,434b8257,10edab41,bb6a4d51,d09661b,e27cb767,4456badd,b3e84051,99ab6ccc,4ec67c1b,11e92ead,7b463b19)
+,S(eadc3131,fbd626f5,263faa58,c4caf4d9,930f933d,9541c23f,438cb486,750680cf,d3c977b1,c9b4a897,5c64b36c,972d5d01,a388fb9d,c3791a74,36094ff1,2c87a914)
+,S(3903ee5f,6758ff24,c518a4b3,86748f4f,36bdd65c,b77e78ac,609f2909,fc7987d9,e92194e,a15241d6,40915934,bd234749,8d222a18,4927a8da,b0cfe2ae,182be83b)
+,S(d0803b78,39ab48a3,8475bdcc,f9a9f219,5759c343,dbbf8e93,23e1f882,5be6a5d9,2cc3b180,ff29c97e,a12ec15f,b38bafa4,4ecf06c,e51d1d24,2894a926,64582f0b)
+,S(1f56f096,b18a7499,a153a5ae,acf8be05,8496dd23,da8e6c19,215628fb,c0567ed0,fef22b8a,3b52f490,83004436,b65cd69,c94189f4,1a93c0d5,1fc13cb4,379dff58)
+,S(1d9f69b1,a4a47432,e386f525,234aa30,79e947cf,cf203297,4e0fc05b,638e213b,d898ec17,949c0761,b38500c3,a2b1da24,5438d5b3,d3f6f720,41f15d6e,e4d4ccbb)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 16
+,S(128c913,4d9dcb78,12fc4361,5c67ad0,55213354,dc8008b1,aeb5a9dc,fb629efd,fee3e54a,dd152610,d9725936,99d662,c160c8e4,ec6f76e4,5ff41818,be67c96)
+,S(21ec012f,5a95b94d,244b8d51,9756075c,301f2854,8e2c51fc,49c0e3d9,d1a9685,2def2105,77af497f,4c7fef71,6949f28e,7418eda6,fd5fc162,d128de19,3cde08ae)
+,S(688f5202,fb9d8bc0,9e480e89,4c7cfc74,761c3be7,7dafb11c,58422836,3e331cc5,96ba7d59,63b541a7,2ec7cabd,92403434,1a393eaf,89eebd94,62d9c218,c7302cd3)
+,S(fb5c9eea,1cb9a8f5,b3314c30,a50d35,744d0ef,e8bbf68,2e4d3ab4,f7f02baf,29fb8844,e18fc551,fb28bd26,95c5e95c,6868e0cc,7e526af0,91157e9d,fb630418)
+,S(f1479fe2,2eedae3f,2f5f6a5d,84a9de1d,593168ec,7b52380d,e0b3625c,cac03421,1a642d5d,2fd88b82,13b50d1a,3fbd3419,c0b4630c,48352131,cb856b2e,22764606)
+,S(2273edc5,e8199774,93c5b0e0,9fe0effa,f60f7b,2898565a,69f5c7b2,bf1a7950,b3aea238,8fd978d9,29f1a1df,98495358,b64691fc,4f50b530,906ae39e,fe7bda12)
+,S(99f8480c,30504378,b47d10b3,2b39da2f,496d59f4,b1462856,56f05ad7,9bef5214,e001d55d,8e224286,8d8bd397,cb5aa99e,d930e437,e4e62151,71da7ae6,6264b2cd)
+,S(382257f,e4751280,d74fdfc6,993c8642,9c000d5,87f57635,bc9656ba,996a6f1f,c2dc733d,fe52cb06,265a4f1d,a6b5f1f9,30dbfa39,e3659973,1c672aad,8b51d474)
+,S(23a13632,9125386b,e45f4e1b,2acc847a,62e5eaf9,f6d5f452,6e145e7f,ecefb24b,9129777e,643ba22,2bf817a1,af7155f1,413cc370,3734ba6f,49f15f55,996854c0)
+,S(6659ea60,58a664de,a35791a1,8c5cded4,8cf5593d,c440b9d4,8a30ac35,79149f0b,2adcc705,a85d836f,b347b69e,742fc6c3,5300d1d8,e534f1ff,c820c6d6,b2f2199d)
+,S(52dc3bc6,e1acd3b4,7ece6f6c,89fd2a3e,2899b487,41421033,37a67dd,1ba939fc,5daeb346,32ad107f,bd83d9da,15a3c4ff,1e8f6ba3,ee5193e2,709e89c3,43d05746)
+,S(524b2a97,93cd5745,bd9189ba,9c947bc1,693fbceb,75f074f6,17376b10,d5573551,9e8099d6,cb23fb1a,9deb92cc,3e8a2fb5,a6865ac6,3dececa0,2d146e1b,bcc80b71)
+,S(732181a8,e2bc5953,923e6c3d,d960e9b7,525b7b95,e5906997,6fe79156,1782756e,2516c6b3,5592eb0a,42ba193c,bae98ab,e3c42d96,148f1d84,edac621a,722e4823)
+,S(b8e8942d,926e38fd,f338496a,c2ef6fca,49a7ae3d,f76eb15d,8d570111,e502664b,7990d56e,7dea588e,4d670ba2,2031e6c7,97248641,69e51d77,f792f5ed,befaf8eb)
+,S(144e88f6,3e73abff,72cac11e,7ddccf79,19e744e6,278941ae,18d1b797,e098e4e5,63cdbf3,5df3c655,c58197f,ea54633d,158705cf,7dc2eb3b,4e09f83c,3021837c)
+,S(9436e3dc,489ecd8e,2d16a739,c9c73e3d,60e5bc93,68157039,75b8efbd,5c3a9081,1460531f,50cb6ebf,d1aa7806,ea84e7f7,8e8d76b2,b3a66d5e,3a0bf60,39a7e59c)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 32
+,S(9d3c2561,7a56d10b,46d9b01a,1710d193,e840e005,df669e76,1936c275,20890db9,6bbdc0bc,4c4ae9bc,c2dfee9b,82da9b94,1f89ffcd,e8af2aca,4467ce3,78521ea3)
+,S(29f98e50,f51b7f8b,e18c6ae0,b453c4f2,d0aca5a8,b0e61d2d,dda8506,3fdb76c8,daf3bcdc,ae8e031c,73eb8b21,14058063,58a6ec30,ad379186,df80e3c7,f0e5d28f)
+,S(d67d30c2,c71daa36,1805e31,1dd6046e,17a89752,94d76e1a,538af074,4dc22c94,48b9b0e7,12c807b0,b92e690a,a2e068cc,e87ebbbe,aaf4bd96,9c1114bb,a54f670c)
+,S(f22c2ba8,8ce9c2e4,b772c9b7,6d03a017,59aa7b9,97a78334,83566027,2fc81649,6aa9e710,f190be16,243a4e0f,1570270a,2d92dca9,8cf99a3,cbc06fdd,f9b7028f)
+,S(c5e718d,6b94c83,e52533c9,ef3234f,36b722ed,cfc074a5,eff30969,9ac5f894,24961051,ccfc6619,dd64e810,fa9c504b,f7f8ce9e,cc445d7e,642b3166,eeef436)
+,S(26a8bcaa,c836eb7d,57618999,ef87ee4e,c291dc8b,333554a2,c1f66f73,7944d611,c20051ba,7236663,ace2da29,c1e0763c,e57192d0,e199e7a6,c69cc65d,bbbcecc9)
+,S(388e3570,fb7b1545,9bf01ba1,7a6496d5,6bcf65e1,764e7aa,2c083346,2dfa098c,2d4e0d22,a2eb0ff0,545561e5,ae344be6,99120d12,45db6bde,a9500f5f,a07be798)
+,S(68189bab,b5a0783e,23227efa,4eab2c6e,da2d1c,2ea57fca,7a7f8f72,15250709,bd30bd83,3694d3fa,a14954f6,251445f8,3e42d517,30d30855,a0eb834d,3c7ae856)
+,S(642e0823,bb347795,967b7aa9,418a25,ea6ff683,fd7b3d42,b88d90d1,292190ab,db73dea7,86ec052f,e3674892,639daf39,286b4690,63b68903,210639c7,f3b4000f)
+,S(9ab6ea81,e5bf5505,751addea,5896afab,7f4eff2f,d3986027,f916835c,64924afa,38c06aa7,4870a5e7,2ff29efc,bce4b3e7,dd951c9b,29966f2b,47d007ac,7629bb6c)
+,S(b09805ae,e567f69c,71a98248,e89e64f9,e059e015,bde01a62,dd18158e,e94a8ee7,62aea16a,7ec912ef,cc5382eb,6d220ac3,dea885a8,e3da12c,8147b28e,1983d221)
+,S(3d632a5b,636ed5a3,4a58bfbc,9831691a,91d6b5f0,975bfb5a,82b4c1bc,107e6e5,577a449e,75bf16d9,2eb6ba0f,9cb4d496,7a7ee09c,f1605aef,682cfa31,cf395a1c)
+,S(6b821bf0,f70d5ff2,ceedb69d,d96ac8bb,b51e3635,3a36d50a,b1c1a697,40cef707,5212ce11,993fc120,88028674,5cddea94,6371b4,dfa2f47a,6d83b789,c6d12e5d)
+,S(bf294951,4496fe0b,8527740b,5cd9394e,dc33b330,c91d996c,789db854,45728b23,790aede5,da35ce7a,343f745c,410de38f,4c53bc2a,bb41bbae,c13272b1,e912782c)
+,S(a55354c3,82bf968a,16668267,c4498946,4906f69b,114f6f06,742b6035,1d75ec80,2809bddc,45661a5f,28b31967,6cdfb5b1,9dd6d296,d1828c88,179a630c,ca5962e8)
+,S(fc015036,abcd8311,bbfa1574,ffb4980f,b893f8af,84f519f4,5a6fa344,2649a693,d0f6a278,1946e04b,385cd004,29acd3f6,f5542aca,3e7c789,657f676b,f19db819)
+,S(6164410d,9f81f352,272a799f,b4afbe24,59caea6c,511fa4ea,b7578980,d9a7aae,92bc1480,ba19fcd,3cbee69c,95b9396f,4982fff5,d4e7dac0,abec7153,ee5a7966)
+,S(ef816535,8de9d737,728f9a9b,3182b4f5,6e25917d,1ec05fc6,faa0fc85,170b5f2d,dc372426,403ca9c4,50649df8,8b6fd32d,f1721dc,cb1c7d7e,155c83ea,747ec595)
+,S(428c34b9,89a436dd,dc704e68,170d2c40,178c5646,841eb2e2,642c0a48,8987a8ed,b1f24158,251c4646,ca04dc3e,64369634,3836f97e,71945f4f,51237abd,3aeebe06)
+,S(6eb61782,f909157b,415e6243,7bebbd6a,5f19da73,7eda64a5,5acfe206,65417a9e,4fe7c546,baedf2b1,6c92f168,f99c42f6,af03edee,290ecc39,4c4efff,e8577b72)
+,S(992e0af1,466d4fec,5ef83009,98ce31df,cb6f9573,d14c1646,e4371c62,a376fa4b,d0e3da69,1e4396b2,eb01e3a9,964365,50d000e6,31d79ae3,871690d5,29f9e825)
+,S(fedb564b,adc70078,f20f31d1,12496934,513e9903,8cf5b9c3,1084383,5721d11,1a8e2a49,57e8420c,f2d5d97d,657f1602,ba26ae87,d5408b2f,a9448def,38157a39)
+,S(f3f2068a,4dd89d18,1247088d,3c424916,3e683226,6274b575,e54430d0,73b24bd,f2aabd19,a7f462,1426ab1e,e0aa7e33,12381c5f,e1f1cf0e,75c1a7f7,7ba2bfa8)
+,S(32b9225e,4217a359,8de4e7c1,476a8581,5b6aa458,d93dae02,b3d30772,3ca13680,7466e804,26856340,12985683,dd071e97,53246214,733808a3,96f35d0e,5a133802)
+,S(85008a87,385ed6b0,4ff89979,2eb592f9,ee6c6b93,fa24dc7f,c6299b9f,dae64a8a,1f279e2b,8a5b0576,fb9569f6,c0825876,84b5b38f,a250e362,2ae6e284,a504a2df)
+,S(4dac7833,ebbeab0b,ec8edac7,cfc49bfd,b835362,f0130e9,e44452f6,a82effd4,fc9d1970,f230aa68,6114ada5,7b4237dd,133dc3b5,db8ec1f0,ccd09aa,23c740a)
+,S(9b755881,45a65d54,19b40226,e535df5b,4b44de41,1b93d71,31f3102,d56dbeeb,d0324171,d6937b7,c9b38290,7dbba3b5,c1516061,59e7ce1f,a1ed9d11,e089a02d)
+,S(1bd6ceb9,2592a7d7,a66e6e8b,1b645db5,98b525ca,461dc4bd,b583ed9a,cbbc8bdd,9a59de87,84a98bea,48b7abb1,a5b7055,5a1c4ce5,551cde4e,7b790ac4,9a29944c)
+,S(25a8b2b9,3b360941,6525b08a,7fe786e9,6b3a3c7d,8b444637,268f5355,bd5b56ee,3c58ccf7,5734687f,dbd027e6,3ec6c550,45f131ae,df71a40a,c45e4e8b,965f22ec)
+,S(244b2833,27c33efb,221a5767,15225d6a,bf5a1caa,8da543c0,d88b21e5,17ed9f5f,220036ac,e48d8953,5aecec92,a29f5012,37f83ce6,44380db,c229f0bf,c1f53d7d)
+,S(6f97ac0f,27b87905,6b442d13,e566978e,91f0cc1d,d6ac1e64,e9764a35,325dd1b7,83c6e70c,fac6c707,226ce1cc,691b38a0,7e937f5a,5f2d9c81,4dd0d3ff,9f433d32)
+,S(72c5d60f,eb014e2d,ba8265ca,d454f261,2d6abcd4,b2236bad,c94c4801,561dce1f,e3119a19,7ef91963,b3b28216,3c5d3acb,97b281b6,d246cbf0,690b40da,63978fe2)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 64
+,S(a96d2da0,1b10186,6998659d,f441a1b0,2af32b94,aae8c6ea,707d9ed0,d5f33825,660d7d83,5da5235,9f7cfd41,28c370aa,5659ea71,16a91690,6c0e8108,a513f9f)
+,S(2cce6f63,4d815ecc,1981d200,87616677,d906aa27,990c4875,17314dc5,5be3c4fa,615210dd,bd599e91,1b6f997a,fd05475,b33cb274,c9ecb6e5,d3c23323,beba4b50)
+,S(992b0084,525dd399,d98602d9,8b8d53b2,4558fafc,758a2f46,60e89bd6,a645f0c4,83ca98d2,26545a29,8c45f40b,11420602,f5a5c70e,595eea57,2da64d61,a4e2f98d)
+,S(434efb45,3089619f,cc761ee4,3fd4b77d,c6b0c69e,b45eb88e,44ef766e,9beb7357,3dbb0d6d,1c0b92e,5965586d,236c0be9,26967ac8,830b9bd0,1e9efc2,2a9291ea)
+,S(a2179ad,2c683306,a2e4735,93efe304,f0dbf589,c4dc2b88,4bddc5c7,e3fbc156,ee4539f8,ab980176,a18e6dfa,bdb609d2,88a2d223,86dcb20,19207afa,f6033c1f)
+,S(3934081e,d3e1e147,aa52bb40,9221ef6,a445f22a,66718f14,6d63907a,ef05a2e1,bc370656,31391b7a,209e79d4,9f1e959b,d3a9fefe,752c6062,14fab290,a7b5b3c7)
+,S(35bc24e1,59a2b939,438354,6cc4255f,f1f3f7e2,105293db,39688e07,df95d8ef,dee1fc70,a9698da,f7abeb5c,56724f8,e87e0cd3,8849edfa,246ed0a8,9223ae15)
+,S(f5d1e75c,251fb473,8552a0ee,f05d8e65,63aa14e1,bcae5b48,bc7e5258,b948127d,e260c1bc,7044f058,8f409134,d298528b,e7d586f4,bf7b6fe,92d212a8,6f7170fe)
+,S(ee0a76d3,6fed282f,a1170dd,6acb7743,f9617bb3,60350f54,d12da1cc,7eb121c,f8cfc2db,eba6960f,e6135ef,ff9e10ca,4e56c458,4b42b516,6dbf7af1,420ba5b1)
+,S(9e3b87cf,78927664,15cab377,f1774d14,4d1879f6,16da5676,f94790d1,9ca689d8,f8f34522,da3ca2ac,b273b0c2,b1b1f26a,7a9c2d96,b4547482,266a8e6d,bab3b577)
+,S(e26f256f,d08942c0,3c85b89e,e66b8b50,12f409c7,4f625152,86e5b310,eb4868f0,bab3c4d9,6fea49fa,6d08c656,23c9b127,3552c23f,3c4f12f2,1bbe8bfb,56f210f9)
+,S(8ac74046,a5d38398,d14b6763,4f07abc5,a3f5c852,ea8c421c,f0858980,11da6c2,d20ca793,f56e3198,854f5916,35402c2,4a71af95,c84288e,1495d324,7229b3dc)
+,S(5b00e095,634694cc,93d531a8,6e81d29e,753928bf,b2c83a83,ac677a92,55932bd0,8d2f267a,8071c48c,616daf18,d587e,42882b33,748032d6,4bc3efd6,60a99656)
+,S(162190c4,80c5d7b,ab1ae4ba,7b2a6611,546ffb9a,b4e9ea87,2c0357f8,9e11f0b1,db5e2104,12448a9c,e586d7a3,13bdcc6d,bb84192e,98c5d9d8,79693030,92423525)
+,S(f6a84421,b4b383e8,87f8520,e06017db,476774dc,9aff636c,f26a676c,85b145b1,504c71a9,596770ed,7a2da8,2e8fe1ee,93717215,bf88e0a8,ed74a80,4037a3b3)
+,S(1f02d142,f0b5d3d8,b3f8937d,a49f908d,83e5919e,55c9c134,55a759a9,932dd6e5,e6a5cb33,8ed36df7,50ec2eae,5db7c9ff,fbc9035f,48ae0348,fb3882da,39863e65)
+,S(61f4d96b,c326a1fe,a2ae38c3,73484a56,68e29bf5,12d77a04,34a62278,1d78899f,651ef738,62005ac7,64f97021,6180c25e,2172724b,375e6b38,b3a37ad2,d7b4aab8)
+,S(ba7d5c0d,623c5e79,8088a71f,8d2916e0,7c7ebe2b,1afa19c1,9c917cae,31c11616,da409f40,d7e3f6c,78655153,fb35595,a1ec37e7,e66c8958,ce45b07d,bd5f5a51)
+,S(8b90a590,eacb977c,6e6a68ee,6dbc3e19,fe5a92a6,9abc43c3,bb16f9d1,925bdb09,a5cf5f42,ef655d59,ae734e1,f746a752,4d01ef75,d829b9a9,2a035180,fb5df718)
+,S(87f35227,21914cfd,ce8294a3,cb5ae171,f0d994ff,f55b25b7,1c9e9aac,dff4fe4c,cc71d1af,530bc5e1,eae7c1ef,b9a91335,f26b283f,222a3552,dda24c28,64babb2f)
+,S(aeea4d36,ba405159,bf0ffe8a,5530f1f3,83d5509f,187ef58b,6c1eee4a,cb77a15d,db563dea,e7403df8,7d3031c2,48aaa28d,96958f7d,ce36b3f7,8d55607a,60d3ac1a)
+,S(300fe98d,3996eb9d,57c6f1ef,8058d4c,d8dda436,5774edb6,2a338a59,afcc7111,d148a017,8fdda40c,f937913c,143b76fd,d2e6e226,d27225e3,a49658b2,38c40e77)
+,S(c700af5e,22cd146e,839095a1,f6743e4f,d01e9c1b,76d4c73a,a5005f42,99c19fdb,3fe00181,b1f01c27,27ab1fc6,bb6ea569,d4a3092,c2d511d2,8b5546aa,194b32c0)
+,S(d03d08e1,17b94138,1aa147af,38448539,94228f75,f96bb4a5,941c3748,cf50bc60,5b119ffd,2785bcc5,2e0bfbfd,c541da8d,f47dd076,e91440fa,10e071b3,a896e31d)
+,S(6c6710fa,17a520b8,56d7fadb,6af81a5f,ea9c983e,c94cf832,b395da5f,c22bd361,db4efd26,36e281ea,419964f3,c0897b05,b036a408,25ed4ad6,4fba393c,f2804941)
+,S(d7b5c239,9df47a16,6b6cb900,d08a5d9a,5ea3bfe9,94f861d9,b46f3fbd,a3d91bbb,ed791f4e,4ab1c25e,9c83494d,794ffe1f,a3c8a065,29c0b710,cffd597d,64efe8ba)
+,S(90f699ab,8f728152,e2deb8dc,ceaaa3ee,53ff2f23,2341a952,4aba9e8e,50f66c06,8bd0c3a7,7f5312bb,9d46d80e,c36921f8,561558ce,6e63c08e,641c82c9,fefce91d)
+,S(4d0eae3e,3d7adc34,c91eaead,6a16f569,37557dce,2b68744a,bb9ae71a,8dfb65cc,816b0806,a9508731,ba99a685,142aa52e,6e874c99,5096a53,52c6e2f2,1fa3de5a)
+,S(46cd9edd,ec318498,dfb4f815,3315185d,689a2399,8e06b1d0,2438f7c9,b2f7de62,3b5bc1a3,d5fd7874,8c964a8b,b813388b,e0d5d168,1247d008,10a846fa,561f29bc)
+,S(4aac80e,3f6eaab7,1c576297,b4552e40,653748fe,21a580ae,bce4eb83,2ff730b,3d42a00d,8014f46a,80fe2dd5,bac6a046,40d331a9,4f1de050,9e435398,6c8c7954)
+,S(59bea661,b73d9c09,131e4573,199937a,e03e96f6,2ecbc637,4bb681a5,582a4114,31a20be8,ee8a2c2e,81d062e7,8e891504,d9f2639a,bd5db5c1,30be3d2c,b1afa47d)
+,S(7fe9065,88b2ee92,2b19acd3,fec7a4de,9ee089a4,a4e1c338,5e293567,90ca6037,dfb45d90,c5f43eeb,1f5eb326,20763ff4,2659b763,e7ec72a7,c69e9369,35e5c128)
+,S(db390f91,32277889,784b5e4a,cf8f2fd1,f3a5fc47,f2c8262f,19dc9518,95322157,4364955b,241c831f,94fd7d4,da63db19,2aaeb5c0,ade82dc8,d5d61cac,d690bbad)
+,S(34dd0266,e5fc19ac,7daa9e61,5ae8f78c,985732a6,1c53c29,e6e5d407,7391ebc8,c2d6b6d8,e73fe00,e6013b1d,2c2b48bc,77a5db6b,45232ddb,6611ea1f,c5dd797b)
+,S(eea7f72b,7e31608d,d3dfcfbe,16e2ef95,5e6c7ec5,328f84db,336e3df1,9d1772ab,9662c8f1,ccdea4c3,48ea6d94,739aa747,17219556,c6be9b8,8af0d30d,514004bb)
+,S(c6af087a,f1b10eb3,93de412d,de856129,9376d264,36d907fc,10d3e7a3,88c391f2,ba99d62e,31856457,8ad8847a,9cfeaba5,e5ff9824,2c614959,eeeb4ae7,50825144)
+,S(eae34735,6c715740,ab73d034,bcb43f5a,aff37fbf,50d35518,1364c999,feccefc7,b9386c75,da8bf645,cd6f15d8,4944f74b,9685256d,b61fda98,79fe6639,92fe4703)
+,S(4a548c25,f4d8f54,4f9a27e,64e49626,41b68ae3,1d90461,65c24ff7,fb40438f,ae9f2c85,bd608cf6,ef5e40c6,7e29a63d,4c274215,c2a0d578,38252f28,196f6d10)
+,S(61925679,dd6545a8,ea19743d,7cb3c0bf,453318d9,e180da53,f43af2b0,ecf744af,a0682d84,d7215372,e9ec062c,a3e4aa1f,47fc551d,44e3d1a1,7260a44f,2bcb184d)
+,S(e1db5e86,9574ab76,d4fa260d,2425ef62,50267ab8,52ff04fe,25f0150,9137ea2a,c8eaf421,9fd5f7a3,6c1a99a1,d0c61250,836e204b,fb496774,83f43c81,511905a8)
+,S(3062cbca,73923842,2a0ab862,a1fd84f0,38e63691,cfc204a7,d2f9d263,d248c7f1,8f112e57,e3f2970,dce89eee,1e184310,721a85f1,cc9feb2c,f55c047f,dd9670cb)
+,S(67c393cc,aa9736fc,eec7a861,eb53f953,9da74ff2,97764f4e,4e814004,4da4f739,93d329d0,9a165fe2,2f8009d5,ad59b524,33ac24d5,46c7d394,2d147c4d,49853203)
+,S(c67471f2,36cf2187,ee5a5619,d581cc7d,ac5bc5b1,e8bb728,f943084f,e899bf5e,75c90c9c,787b318d,943c3247,74cbbcc8,3a533f37,fb684aea,62fe6848,8de2c513)
+,S(d5015fef,d5938dd9,2133d7a4,25aaac5,12143acc,6547070,1827e98a,e4ed1b52,44305616,a02236f1,5c37c0d6,51d845dc,e9966860,b798f79f,4006c25d,7cf03d6b)
+,S(aebcbf65,aaa89615,cb48ed56,4002ed9a,243ca309,1cf503b7,3c1929ce,8164f2d2,4fc1f25d,1a30ee2b,4220305b,a9c88e86,a6ee7f55,55399ee5,35e7d37f,e4b3f019)
+,S(15cb1617,1727deef,49ad6821,932a39d1,bb8f980b,b5370d81,5ef00ff,ebb30e43,64ad8c82,87fc053f,ee35c1b9,9734b34d,2dfff86b,490ead93,b1fe7d2b,f80ebd7a)
+,S(d404209e,8530d674,9bb88a5,525211a1,19fb2523,63e2698,6bd03080,4c49c123,3763fd68,fdb85d19,e8506275,3b5a327c,46ef87be,8a3432c5,62bcc622,40a7a128)
+,S(f3abf8cf,c232849,58e330c2,fc327ac4,d40b4497,f422aa4e,d42e9381,9bffdd96,50861f05,d831327c,3e907643,2d7a7621,d1dfe9ec,7ccf2061,cc720e9a,7d5b0d5d)
+,S(78a32893,2ee9dbfb,3f84755a,651b9d23,5cf92b46,c3e4bb4e,57b7ff6f,7c874dea,925b783a,966721f4,6eaccd87,495eab7d,b3c36eb2,92c1a473,b4617f6b,9ac85895)
+,S(8165210f,5d146f8a,1ac1ed91,a7bb678d,1b7d15e4,3ed55e8d,f6503209,a750cd4a,fe390d3a,19e22bdc,cbd45875,e396c713,85954166,a1edb63a,384b8587,915d260d)
+,S(75269de8,6c2f3d34,cdf17dd6,f3efa198,ba73431f,cf0072f3,633ca57f,7dfe3f09,b162a65f,d19927ec,4446e3db,d5ee8850,f463f39f,1df1a0b1,f5ed153e,704805bd)
+,S(5e36ce8f,b393949e,5b9c4e10,44fb2ff7,c520a7b7,a9016b38,9544e512,427145b0,7c40e718,292f96a4,1d9822ce,d54aea90,22074c5c,c82ba4e,7d39a4e0,7811614c)
+,S(c8cc7129,fdebbfc6,c0576edc,6ac983e5,c249d360,76da7d25,b05c0b6b,16632746,48a8cce3,a77e4498,76d1a332,c539feba,2653fbaf,d4f75e68,e4674d78,4c716fb1)
+,S(9fe1db36,f1ee3e6d,3924d2a9,ae3ddcaf,fa85798b,7383a1dd,2d6c0c14,ea46973f,1d35b6a8,607045c0,95ed9658,80212b63,43dc55ec,beb3223e,7c2e76ce,2c74f6d2)
+,S(4ca8ab8a,3d45748e,6e19e02d,dc351279,e23648db,d26d2465,7c9713f5,bc8ecda2,8a5866ad,9bb7db92,273c9f23,c0876c95,13b8a68d,bb20c5cf,164a9a39,4e3e73da)
+,S(c8d0150,e4a989ec,5cdbc724,21b1e29f,f1f30818,1d8117b1,3d376f58,b72060c0,5c5880a4,c5a73a4a,1ae42a9d,f0b20032,7ac4a732,cb26e717,49e63365,5082ebd1)
+,S(3d61557b,b4b9fde6,49fe1b7c,981c9883,9e368444,f130bfea,fc1e1a0c,12f2aa31,933167ff,62cd840b,3a960c90,e6b1c37e,1e233695,318ea286,71c87992,de5b56f9)
+,S(67569f9f,fd44ca09,5b478dbb,85c3ed1f,feaadaed,cb624552,ccfaf169,24e69e2a,62bb2948,230fbd2c,aa941288,7adfb24b,d16619de,af0fc102,feb1b26d,67eb7fcc)
+,S(6313d13e,debf1401,eb7d279,2c66daa8,6e3075d0,3cf0daf7,f3b753e,7372fbc2,44621230,50eb1245,86975455,63e06e2f,2839f874,beaff9c2,f65e26ad,d3573ef3)
+,S(6f8ec9e7,fbbe6e8c,d0e3085b,47c6cb2b,88529f2,15f13195,5e2fde24,4dd23968,1fb61e14,523b3fae,b543b215,dc46eeeb,23e1950a,8301c78d,c510c76f,ed36cd79)
+,S(56613dac,3c5aa1ac,bd9a0ec2,f839b4c3,36f0ae58,e0e02244,7bec0546,710b7f6c,247263ab,86c398f9,3b23319,4434af8b,530908bd,dd7f716c,f7b73aa9,8eca79e8)
+,S(c9de15e7,b4147219,137e6e57,c5a7ddd6,17e91ab0,6859dda0,41eb3c21,87aee08c,c7178ea5,cfa056d0,dfd11c87,715591cc,40cc5db1,f5e4b70f,d8ffbfc4,3f8b0009)
+,S(7590a4a,627d5e90,e42a4b0f,6be6497a,f906182d,d2dddc48,a8b6bbfd,f56c0504,d611e21a,b5498760,5c97e878,baa464bc,cc5bd875,353b69f8,1f93ce2a,a6c38587)
+,S(94b1da0f,b310e056,db0dff72,81db3362,1fcc555d,bf3c973b,76097908,7fe19d6a,8318893d,d5b41a56,33a2ab4,ae4b953c,45c42e9c,8f2fd159,85286de3,fd4fc217)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 128
+,S(b5af4299,bcdacef1,e07d081,daec2cfa,d6f8f821,38e151a5,f20e6d52,84c9a6cb,c0984407,8a7db82d,f572987e,b137dc09,c8cf65fd,aedcb20,43b2479b,ab95448d)
+,S(5f49ad43,70744587,3980a153,c851829b,f8ef6141,9889bb0c,3c476847,6939c3e3,5c40d385,20f56c3d,ba08ae1,b40fc24a,2ae25c94,45cae0f7,d01d1800,747e04eb)
+,S(f6bb067f,88ccc11c,64e30d1a,e6893942,16bea3bf,26ec9c64,5cde1b9e,487da385,315a476d,7268978c,d89d4ec8,adde4a83,28dbfdd9,f2bf44fe,ad4ed721,78288f55)
+,S(7b47cede,c02b19e0,94daea0e,ec000455,52690b49,44b3f10,beeed2bf,f9df6950,1bcda5f4,9beedec9,6ebac5a7,957918af,53b7ccd8,c211330,280ed93b,e0efe9a6)
+,S(ba69d7f3,82d56d9,eb65e1ab,2d70f52d,18223621,c0029035,a78fd660,9940876d,5f44a2fd,56d5289c,f36bdb9,50ee2538,1d1cf935,ae1aec76,84b6d11f,975d393d)
+,S(a3b70894,d226c195,223713bf,330ba39,fe7ec35f,9743347d,1d3dfdb9,7bd929ff,5d0cbdf,42755aa0,355ad2e1,ab39479,495edf2c,20bb0aa5,93cc04cd,56ae6135)
+,S(c756e23e,bb2d81fd,91fe73b5,20eb3bfe,5ae602b3,448cf84f,e8da37d,d1c804e5,89f4b6fa,edf86b9b,ca9f52b2,9864a982,5a4faba9,d4fb35f8,98511210,34df49ff)
+,S(36327c35,6fab94ab,f791c234,1c39049c,65410e9c,6cdfaa00,d172ee84,3671822c,fe3588a4,698c8d35,f0e01f04,e94f7039,eb745631,8c25927a,be7d061f,d3ed4c6d)
+,S(3b75bfbe,8e372311,f46ecf6f,c5eb2af4,b66051b1,874b0c32,1189e106,37dd21bb,b9144a33,e3c3339a,4595e248,87940b4e,2e42a095,d7d1bc2a,ea50aa29,5a879908)
+,S(44a61f10,57b4e88a,c55ed72,1f8f4477,5f0272bd,379a97b4,d92a7f75,f0d3c5e2,e870ea65,80340464,9716ec1f,5b79392,18162306,6dc14086,111de144,82d80141)
+,S(11ae02f7,663c0a,24c6fe5,ce9206ed,1ebed2e6,ca294acb,74c9a227,97fefd,635a1b87,a262fb30,5008737a,e70422cd,a4e35766,940e424b,d697d28c,dfd6a36f)
+,S(c751310a,dfb25d14,2e6ab1b0,ab31b37c,8e987af2,105d5981,69085ca,3e142f5c,a4630dd8,ed2717a9,f10485a4,be685c5a,ccca851d,4bcc1886,4df943ba,ee821014)
+,S(fff4d7c6,4009f39c,41757b17,3eb2536c,a639b72b,e15af7f,790bddb7,efefe46a,694a798e,ffe22d1,1030697a,292a4bb1,4c110d6b,dad7edc6,e8976450,ce5080e5)
+,S(7d76ea39,c13c9f46,e931e8bc,1cd43707,932b1a,31254d18,c06c8ce9,c3f90534,bc14b2ba,8f0a3d8f,34c7cf7c,3458c916,4cee438b,39a5a6d4,d2a1c9fe,8be415bb)
+,S(b6efcad2,ca6ae4f3,6f080707,530aaaad,625fda5e,825f77e8,a6730e95,5e07ad39,4868d8ef,8a56d327,3f6f4a3,23ea6ad6,4694301a,1f6405f0,a421939,bdb1c765)
+,S(1a04b12a,a889c4a6,d37f9050,e75406d3,48e38faa,c0d2ab4a,e30caa6e,3633a32e,f43a0c8f,fad38d90,6c817dca,3e7ea09e,21e1c801,7af86966,c246ebc8,dc75911d)
+,S(adaeb0fe,9b345190,4e878b12,6c8edddf,b70e2500,5a4d6a6c,531aad51,83209b7e,2b26b16d,dd4d29a7,8cc6b4e,198e6ede,b1c59def,c6793173,f33cb039,d37522ad)
+,S(4e4ca02,3931f3fc,b512121d,2d632764,d97fa125,8460d0d1,9a94eb88,2c6e0679,ef90eecd,3704a6c9,454c6860,928eb332,cc917b17,f2594348,515822d1,84537467)
+,S(a1f3c279,df69c13a,711b5ee4,139f603b,5654ecac,adc02a22,a7c2087,c11e2971,57249794,54cb78dd,7ef69916,5efe2326,e8aafad7,a8a923b2,252523ad,b6a16b2d)
+,S(aac76f81,488668e6,f4b0c911,bc9675ff,c19424c8,6a6903c4,f4b13e0c,e798c7a5,24ae16df,dd6c7d6c,1391df3f,73609bc2,c3759536,eb277189,588a72d1,84dd2978)
+,S(70e94171,e59622f0,de360166,6498e6c9,ddce496,a15e30a2,a5bdb701,d0034769,d6d7c0a7,75a9cbef,2b84d4e8,200f92a,446111bb,cf46a57d,5e244f1a,1103b757)
+,S(ca17e5e7,11d44492,496fa849,c6ab1c47,3426706b,5b8282b6,f288e096,8ec78890,b3ddd632,2ce577b8,ddb9f501,e17d32cc,e6c58fee,4e283410,5e32f3e8,8bce2c2e)
+,S(1a16a58d,8d70fde8,6ac0700f,3a43ab9c,255ec001,8d5fe571,7ec6324a,2faa62e8,f2cb2eba,65aff0a3,dd7bc137,257c1d30,dc2eb6f3,7a3897e1,16c0eb1d,1a710c27)
+,S(8f2dde65,b4ddf10,c29c6bbf,5ab2ac11,2dd3357a,e3e5f01e,98190e32,94b9d4f2,e06b8cf7,e5a736d5,4e954bd,8591f7cd,79df335b,d3279f5d,80493fe4,df4c6afb)
+,S(3314b553,f8213e7c,80d4562e,cdb3564,ba1d7285,6c88d8c5,a3adda90,4950162,33e83c5e,e3f7c550,f94a7434,e3cad51e,b4dab462,13acc24,fc4aa1f9,fc43532d)
+,S(7c107ef4,65ac0c2f,fc5b11a3,348a7cc3,fa589554,ee2b6606,2af3c5ba,25304000,6b5bcf12,2e8a0705,d067fe78,e56d365e,89b5a979,c23f124b,508e63ee,975702c5)
+,S(e918a829,325adf67,511e257e,e5596d08,19be4605,36b20cb9,7b76a54a,5be4f8b3,1a92f0a0,b46152c3,e1ba8f0d,12119c15,b70af0ef,3ff0ebf,a9dc9207,cf2fa8ae)
+,S(8770da03,d4f3a4b9,e92dd2e3,be309c81,c346c97d,2cea15d1,e3fc94cf,41b9b079,d025430f,dc633d57,18d372fe,64f57fac,53f96461,1fb5005a,10ce842d,ab123c03)
+,S(c6b4ad3f,ae2b2557,b126a57f,6bbc039d,a6589f70,c6283ea1,7314aad5,acd8b22b,e8523dcd,2c1c3412,35df278d,e49c38df,85f2888e,cf3c76fb,46e1affa,d8d29bfe)
+,S(9aced948,6ffbf984,373b1e91,ff871619,4622741b,1e1ab968,9c88cb70,37a86e14,d7a7eb1f,1b4c31df,ff43cc32,1949c1d3,16e1e7ec,a6a852cd,e8e7f592,8b352d9)
+,S(af51536f,fccbdab4,c4f4015b,1e8aca69,b08bf055,e038b22b,87c54f5f,1b9007f3,b6bb0b4c,95c07ecf,49ffa85b,abb1d308,cbe813b7,703a27ef,cf849e,47130f7b)
+,S(ec5306df,3ea0abb5,6fc45a09,25c1c925,56e02ffa,18238c3e,5bb2ee53,11823ce2,c950cdb6,720f65f4,18065352,43c90bd8,9457f4bf,d941c9f6,89812840,2dee8b99)
+,S(293b1ca5,be127bc6,1a397ecd,59164363,587f468c,81de4d87,6c5d9bae,e72d90a0,4821030f,238e9f05,e93d81d9,1764863d,443a524,3d18e61b,ae26f74d,ba35d821)
+,S(ebe54b7d,99876ab6,b2951f0e,e68bfc10,16877142,22ef83c1,2561f486,b4865488,2a1d651c,caf8802f,fa699d91,b8242f51,58d84fa0,d481bc47,9246eeb8,6d381c07)
+,S(88f77523,3ab0d69b,ed220109,b29d0d99,33ac8325,445d19df,d38d9c69,3464acdc,8f915122,fbd95ef5,31ea2cb1,aec6bebf,8e059059,459c0d5b,79a282cb,cb276702)
+,S(1d84753d,e7210dd8,9db6cfa0,8ebe9797,c7fa40b9,6e94439f,b8117359,a2b3bb01,f7360b5a,ba53a4d8,7440b6d6,f540c485,2e889c33,9f34260d,abfa7861,f1f41ad6)
+,S(19e69df5,176f82c1,cf1ae032,cb388ce3,36f82a3e,5e741e1c,27fcefb5,311d4b2f,c401f4fe,c9ba53be,be175dc8,cc1d17b3,9d9f7af,5bb496e0,b95bba6,cbd5c143)
+,S(73189e02,c1f125ff,df1a9399,57f29aa5,19b04f5e,42adf729,53d354cc,aee3f2c9,52b8e88f,1c6e7cf8,621d21b0,1e406038,d901de1c,4101d424,1009c01,a537f704)
+,S(c5ebe082,8ff1a8bf,52f8956c,b747f1d3,278fd2b0,a5ae7669,1c256e9,2887a74f,ce58cb9,62e74b98,1ab97dc9,2d736b5e,c506e51d,6c09b382,3eff1cdb,cd259860)
+,S(783c1621,f7990e01,4296feed,3bc883d5,1a780867,c83b9166,435a0562,4982da76,370b3e2,c9a189c6,9c565c3e,8eb8019d,f5224574,bd5ffbc6,22f563e1,8a36da30)
+,S(555e7e80,ccc6a46,1724cbd6,4a53721d,fad66fcb,2c71d579,4d799f6f,fa2b3305,67bbf165,d39d7042,18f5ed31,28fe6dd6,db9b4809,b3270eb,63bda603,f44e9e41)
+,S(40c49a26,ab1cd46c,f1e8467e,242c6b1b,faa40a4,cacdd50a,4b0213a5,40243471,16950b00,5002622f,e0b9fdb4,c34224c3,ad55bf30,67f4e96b,dc2813f6,2fdadf86)
+,S(eb6b3be5,db098d18,9c810b9f,5593c746,47306226,d77e162,7c8b62f6,d7935298,3d295584,3f356f5c,1f990231,701cedc8,c84e9671,44be22fb,9bd74f0e,15c5bc8)
+,S(177218a4,2b55c169,1ca0a073,4d061b53,a0683536,9a04fca9,3f670ce,5eb26091,9611661a,a8a3bc73,7717f243,e5e8b97a,57e0e72,759f0f4e,cedb690c,b3a5fa42)
+,S(841a8fa2,f3bc5f8a,7d028c00,127c267a,ea0c3762,8b07ebe3,7f883a67,8fd2a680,579bf37d,b2fd1f77,a0057712,88dbbdcc,526938c,4f9ba89d,9a42d4f3,452cf1b0)
+,S(b01ef554,3a377f1e,c801421d,a399c53c,3585789c,d7e51691,32250a61,6edea82d,28f30ce9,7e29b2f1,3af626a0,7a37f14,82e119d1,e66389eb,9620200b,25a90265)
+,S(b93e014e,8e3cc643,17ee70d6,ef8c9918,ba344e7c,b38a9a6,2591b0ac,4f38904,129c185,5bdfd10c,6bf152e1,2ff89b4,d0b368ed,c0ae01f7,2b29fc95,240ac3d3)
+,S(e0f426f2,43c50d9a,ff80a1dd,26d63189,a00601c6,8ac81373,5fbf548,7acd522,96d883e0,951adc5e,304bd848,ccf39c2a,1c19382a,eb24ad1e,1430d705,deb749fc)
+,S(e11e9c74,40e897ad,2870adda,63b9ec04,d5379f14,b3bbbdf2,147ea9b7,9c73233c,49d6e54b,29197532,3f5a9df0,3e22e359,e125e34d,d9f3d6c5,cb9f0a20,6dc1f019)
+,S(91ad584b,c5ef145,3b796eca,20027cc2,ae38ee70,9ac4591c,79cf67a7,a96b2c2b,d815a213,a620c531,11f79e5d,b5d9c3c5,565dfd97,ece841e2,3e9c1ca7,530bac2a)
+,S(3e725392,f4fa34f2,7413785,cb322f35,1032971c,2303f3da,bfe40461,4299f8d2,8e323a51,5addeed5,f3548217,6907efa5,4e0c1d57,7895839e,42223e5,7708ae85)
+,S(5e87bec2,1a589ab,483c00ac,fa863f35,91d9119b,9a0239bc,ed4f5790,45a98160,a88a3b84,33c75c1f,9eaf3c15,9fc39a6e,33625f1c,d0cd7263,3a825023,f2e7d47b)
+,S(c2e08613,2cb93b35,749cb652,44e99909,da18260e,d252cf32,489fa1c8,d268a0ed,d3f2e3ad,1f16365d,d47038d6,854e0773,28e02e64,d05a4764,4ed0d82a,8c8a5761)
+,S(99304c5e,ccf09869,7b2193c2,31dd9432,3b9053d0,e4b9025c,74517ba7,f1978af,ee77fa7b,638b1396,6f7e77e3,43dd04a0,ba1324f3,1e0da111,338019aa,209dc789)
+,S(40e108c5,59adfb37,651f04f7,9ef895b,25a79f03,650d6b1d,1c21322a,b4c5c6bc,8980ab38,5733e648,84aff3f8,c47fef44,210eb2ab,a094eb2c,fc5e464b,679db653)
+,S(98c88257,2d190721,20c31528,7f508df4,6d6276dd,c9711aca,5bbeacdc,88c6a78a,5d1aa976,1f5c5ffb,d12ea7f4,8d0510e8,b57f270e,e08c3256,f3ee676b,41a61c92)
+,S(389aba7a,25e92306,b84eeab7,a16c37ae,d7b4cf09,806ff740,c05dab20,60af6fed,673ab0c9,ec48e2e8,d372ed60,812b2990,49c32637,35f61c13,d6f0ecf6,d065707e)
+,S(9dc64fba,832c956e,93efda62,e5f11b3a,6619eaaa,e539b732,61453eea,ca53df17,180b38a9,3c56ab10,a4267ad8,d8a358ef,8f60a9c9,9483889f,956bafda,f45990ac)
+,S(71118e18,e758c2c3,6203528b,8b6707ab,b3439b0c,d3d508a9,6759c155,fe4921f7,c2f61af1,2c1b4e9c,64908719,f11b52d1,76bf22f7,e1cc800b,5ec79e28,aa104ee0)
+,S(33bcedee,11b9f3c4,924e0990,9adc5fd1,46218b23,6531a242,45cbb2a8,3ec3d096,15f4bd1a,6c22c673,941a71f6,f4694fdb,f83b3e8d,5e317e9d,655057d5,acfbad0a)
+,S(4b599b3a,4ab5e9f1,f161e5cb,62fdba55,fbd97740,759871d0,e66b20dc,4e13ccb4,635039da,9035272b,8b706411,9b342144,6c96019a,2c6df423,2b18299d,4a3fb523)
+,S(19f6bf4c,dae54ca9,41b8f642,95136026,decb8dda,35e97627,5694365b,21269d10,a24c3fdc,90b06dc,264bca48,db27502f,6cb31a6b,609d3f3d,a1c92c64,cf3c95d7)
+,S(bc3df1a9,8027d14d,f6629adf,7ad073ae,8a270875,b177a67a,58dd46f,1b01314c,99dd3a91,54f51d07,2ee33e89,8d915189,93445065,770745e7,b6bb30ab,808d1f76)
+,S(977a4264,521a70e8,4d25f5b5,ac1ae5f6,c34ef31e,4dda285e,1ea4a9e5,7dd72c3c,f1bfc819,7aab2fe4,d0425b61,cd403fc9,dbf44f68,32e1c41b,4fce9b2a,2b9f5a0c)
+,S(5fdfde4a,85fc5a53,3ed4a7f5,8adc7b1c,98b2611,3e271b47,a1c12c69,dc9b339,3edf2baf,bd6a94e6,951bad5,26fb24b9,731c2588,b2f6eb1c,e9744f49,16c6555a)
+,S(b8bcd72c,dcd28afc,eeac1ac5,fb7db8c,afc17abf,82268747,6ce01423,e9e9c50d,82633c5,2e6dc057,9bbd9f2f,3771a53f,9cb6d0e3,6a7566db,f2c45125,3c55e9d)
+,S(6c20b999,133bc37b,c65d01eb,6e946565,721bc2e9,da735c72,8be8a41c,1f75c77,20caf674,d8ad036e,25f42aa4,7a5ae475,5e36f44a,79c5ff20,cf6df115,40b71e53)
+,S(bbe49141,69655f15,39ce4bf2,f2e919df,f877b5fa,163b7a70,22bc91ad,315adb07,8cd3e025,6618d23c,8c6b5ff6,db8fc0a5,a77b847f,ec876ac,40f76e9c,cbf93a1e)
+,S(748b3078,e38374bf,7f39bbb,c5641737,bf6dfeae,d3980c75,2fe14c68,65e73786,7f7cae0a,61a7dfa2,471f2c80,217fc847,ea86b6b0,6297aeb2,8f3c94cf,2a811ac8)
+,S(fa63c7c5,b89a2559,4615728b,2272cf68,5d39d592,d052c0bc,d23d48be,c764e4b4,c4c32ba2,77519d60,e1e38a50,6d67d041,804724d6,5cb4dd31,fbe7d692,8ca47c8a)
+,S(c2ed7197,d014e380,a365ea13,d948314b,86978eb0,70e3e444,6c953871,cc56c91c,5c73c293,e7c1cd18,f7854a09,d8b9b0fb,3404bdb7,737dc070,9bdc01e,466a595e)
+,S(2514c1ef,cb1e0bd6,c2f34e84,6f3e8006,6c2b3a04,c0d9fab5,f22fe872,6fc266be,c5a0ac6c,7bbb2d9,ff844346,65f66ec6,507c35dd,8ccf9ad0,69a1ec94,c64e3eb3)
+,S(5bc07f05,11647f2,58dd2e28,9a3843c8,e2318bff,c96a081d,f6b6ef94,4e286350,213ce093,1217ef04,8d87d059,f2584db5,7a91c465,1e112c66,a41f85ab,ebbcbea4)
+,S(edb56e42,97375b03,8a573f70,67ae464f,db9c1335,f6a03dd8,862a1731,9a3cad8a,d3e61a70,16f8d546,61b8414a,426f3be4,35862053,1d981f2e,5314447f,15ef5fa7)
+,S(2925276e,78266481,3bf60998,2e028646,6849088e,d0d77d55,817c8d9d,73d5d732,f53157a6,a97c989d,ceb2d755,dbb0cee1,84b33213,20dd6d22,62213fe4,9a87296f)
+,S(2c4579d5,bda0f4a5,37209882,937019e9,91286379,c3afb37f,a69e409e,9bc0a034,e150bf4d,d889c3c4,655acd23,f3107bca,a319d467,b1b9b15c,336ca934,5ef7d99c)
+,S(5f260a00,11f9f876,bbe29587,af31832,25f21b8,42698b3d,5688545,a8808904,6ad33a32,164caa1f,7a4d2ce0,6eac3d,736fe64e,d83a3a9b,53473a89,8ee02350)
+,S(3bbbbcc6,12095ec9,52fd430,f3fb3d6a,9d1f2c69,e8885100,d65a4d7,b6ac4b8b,328e828,3846a6e7,db5b090f,8c9581da,40d244cb,aa3b5948,7e4f9faa,550b0c97)
+,S(4985027b,dd0fd8ef,fec9af44,bc222f4a,343e80ca,662d917d,affb9d81,956acff0,58befd2e,37a36e41,305561b5,f2716a23,460b1014,fe814654,68c16c22,3b8affda)
+,S(214638e8,d2e30891,9b5eb2d8,803b3dcc,6e826ecc,e1b59b,92e263d5,67959de7,9dd8921,6f131e29,35ae0454,ff5fc9c2,dc22c0f1,c8de7dd8,ad9d41e4,f632342a)
+,S(6ced8705,5ced2d6a,f3e3532b,965e0a31,6876c110,69155f35,444004f6,e6f3cfdd,f51b1aab,c86f556f,8b7ba4e2,a1e6aee7,55b17c01,997fcac0,a83eb56f,7e546ec6)
+,S(95016e67,876c936c,e3263498,7859d1ad,7fc3ade4,4219727,30a1c886,c9dcfacb,299e78c4,e6e266ee,ffbd284b,81005bab,4df7232f,2e43f160,742bb392,6af4f660)
+,S(4bec66c8,30401c39,c42a8019,fc398cf0,c513d20f,9db30763,51315319,ee6f23f2,f1dffe92,3b7d4609,871aa916,28929c63,4fcdeda1,543fc3d5,8e8b2735,938514fc)
+,S(b50513d1,40513b97,6ac0015a,60e53ae5,9088c4ef,5ab27bb2,7f3eda78,848a59c7,9c41cae5,1182e6c2,3fb254c5,1b786ccd,dc9282c9,a6674841,29a5894b,99c36399)
+,S(59792653,3989a039,6a69bda3,8a920ac9,d1df3845,26f30c00,3e415593,b690708d,7f2c14b7,274887db,5e656192,19ee6737,4c750cb3,97ae4bab,3a3ed02f,1aba648f)
+,S(7ba2b766,cf012a93,478fe2b3,e916d665,251cc7f9,3ec16dd3,4db37056,5eacf6f,14fd8938,f950798c,37121286,5e8bdd14,3dcc7e8c,2c84aa69,3fb311f,856404bb)
+,S(3062f2fe,f69c90d9,fc947af8,a9e839cd,7f9e9d22,566bd3a7,1c43df9b,eab5d6bb,db84a833,49916d41,7fde7b71,9d92a716,64047d4,21a36bba,ad9972bc,6f5ee58)
+,S(ed5f949d,69dbec8a,77f4d695,cb446700,f6fae687,e327cce3,db38c2fd,54b06e74,4724e060,57b3d50,65104ff9,29950bcb,2a690723,f15999fd,ee62febf,2d8930e3)
+,S(4d655e03,30028276,e9312fe,a6acc010,30e12950,9ebd68d3,d7170e46,61b7cdc,90efc122,6c27549b,2f5e046b,69e97f04,4399579e,278ccd0b,7bcee523,10ea99bb)
+,S(f6b60756,b888efec,d0a9edf4,a483f95b,68e05e80,c351a60d,bf166faa,eaf1b35d,27bedebd,aa781584,6a896b24,1afaf9b0,cb57e98f,bce5df6,bfd22a3d,38a5fb8c)
+,S(cc592caa,942ba237,72c4db94,58d6ea2c,8c81c538,8fc7cb51,6ca30188,a3c55748,36e2f7cd,358e5608,36e77d10,361c3f1,bb6bd2b1,d640307c,63d512d1,db288158)
+,S(4acba9dc,a5bb4698,21a3acb8,cedf4304,f9372161,976d0edf,6a7a032f,f6c1a456,b36e983a,b2ab47f3,3e72287e,9bbd02cd,d6fb302a,972f2166,9cae4e85,52262437)
+,S(c8a5185e,42279d3,2b50e0c6,1b9ce961,7be3633d,84a9472d,97446ddb,eb061f91,cfaa50b7,445e189b,d64c1df7,4668eeb1,cdb7cbd1,ff65c0ff,3c38d22d,9bd4b5cb)
+,S(c1c95567,7f4f611,365168a8,89de10ad,535faf08,65f8d20e,52b1041,d35f18f9,34f7bc3b,3d956b63,9afc1eb,956f4472,543919e1,3708e7eb,537ab941,48033749)
+,S(8df4fbb7,36f6736e,b4a09370,33f7d256,8bb68d68,f3e1f8fa,8df1ae51,d236a8f3,3d7185fe,8e9a2d00,3987af26,71bb3850,cef6b0f7,70770c81,22977764,5d02122c)
+,S(d635f0,e35c7cb8,f2aa1ec0,c475011d,c2c8bbb6,d1ebc297,c2baa5e6,aa5af3dd,926ebd,c588e8b3,1a990a5b,5907ae5f,441e5a99,1853c643,5e36803c,7ba51a2f)
+,S(b58d12d,5f865375,7514ea38,30e38e05,3678b525,e8b51923,d6460720,b46a4bc,f7b59183,5b0ebab3,935d587c,e995c0b4,d77c9e40,ea4837f6,48e44841,7438d3e)
+,S(bb7c6a8c,b4013640,ecfad075,578e89ae,12cb4253,6461d780,11ba76db,da9a7f36,7dda0258,3774d618,68995b83,5708295a,3c2f5c40,306dcba7,d1c20da1,4836581c)
+,S(14f6f0f7,92cc8cef,9dca990a,7fa5b7aa,f116b819,722cfb91,9683b298,3514a9e6,88c35f92,7a07598c,90ce5aac,4b3fecb5,2261045f,f23800b9,7b96f210,3a4d7055)
+,S(4b95e5f4,eb9fa118,5ddad896,457f4aa2,fb60f4d0,496ad4fa,76bbbce7,77448541,1e100787,513acb31,ba087f51,201201ed,502d1f08,f7e2b8f4,d27706d1,45e71d21)
+,S(e9a17fc0,67f75b2c,6384aa31,223355a3,a7af5366,4d85dc16,dcecbd2a,364b63ae,420a2388,ad674523,62f8fcf0,12b601ab,a40e06a,1b4dac1,9560c085,de7fb8c7)
+,S(39d8536,f320ec81,4ee3d066,c0834130,96d4ff43,8331a81c,f10ad544,43ff9169,70ee89e9,1478e898,60d66a55,6054abd0,c7434535,13a7a3be,7a76e367,c28ca248)
+,S(9779a0c8,8624d6c,beb1dc72,f371ce26,9f95b993,c49ff20e,1daa3c,2fb636e8,9d9e27cc,67296c50,9da4b0e,6037920b,369684d8,a64cb907,d230a4ab,a0c2712e)
+,S(cd4c584a,1dabb48f,6a5c09de,9caf36ff,4a97471f,d1565586,bd78b4fb,66f0b401,95902ab1,eff06e2,b3e104b0,cad2c28e,6fd60eed,c47657f0,bc433411,273446f1)
+,S(46ca11f4,142362cb,513164f7,c72b776e,dbeb3f65,5d527196,88eabeea,2561aba4,8060431a,2a2ad442,dfb6d3cb,d6263c61,bcfd0946,6204e2f5,e832c4d5,a434c9ff)
+,S(dfebd179,1ffb63f5,76f5c753,50031a21,eb712de5,7e8f83b4,75ac39d8,8a94a513,cfed6c7e,39b2b54c,206aa0e2,2f7c610c,6576af2d,ecb28f0a,a71cb1ad,c7be75de)
+,S(c71c6532,82fd063b,44633d9d,7a3b94f9,43daf1a1,7967ffcf,e1238087,5d2c2469,62fcd7cd,e006a10,38df8aed,33abe940,f18a4736,52adeba8,620d1b54,a9d376d0)
+,S(63ebbb4d,dc8ba09a,4e2640fb,f48fb75a,6864ec41,fc1647b1,e9f8aef7,34c0ff37,e59d034b,fe16f4b,41d090e1,97360a85,dbf1ae4f,719c62df,77261205,da4ae28e)
+,S(650498c8,cb51bf16,58eeac61,61b5892d,ce6e5c1c,271d40bc,eea14db9,dd12814a,e7e66785,5d8e0193,24457769,bbd5d14a,7a614585,70ad5e6e,e3058af9,64a65279)
+,S(14a1e03f,14c00863,81599c07,b816df44,90815a8,40c1032a,c41225a8,47c43fd5,35244a59,bc6ba88f,46f66bac,9bb8ef5e,4926da38,50532ddb,6d6d606f,35fe98de)
+,S(1c9f6eb2,f6a8a1e8,ecf9a16,71154fff,a4f14c15,bbd50f08,4d6f5315,b6903c5c,e6bde1f5,2ca4ff63,9b66fc51,150eee99,5386383e,402f987d,d266065d,2a03a033)
+,S(1de71eed,bade7b1,7c80966,4b00d56c,b43ea61a,c0e069d9,7cff0218,f970f8bf,8d4b2de,77edeeae,d78d42e1,6b7bc94d,ea99d65d,985769bb,5c67da66,18ee1434)
+,S(f4432a80,ce954d2e,baa2f062,8bbab706,479f7a39,838d8c3,5a96eaab,5f5cb4b1,96fe6ead,ac34a40c,3cabf47,6fc09382,91f3d077,29c6302c,c67a189c,bed579bf)
+,S(8f71e74d,17964af4,5623d3f9,68424119,cb37e1ca,c1524737,4828b5e9,2519fb21,6990f0df,d7f0ca4b,a77678e4,ebf6946e,5b6b1720,869c91c,ec07854d,604865ab)
+,S(22293157,5e3dc25e,665546e2,96a83a0,5a09d052,cef701a1,20019c49,c6a6745e,aad8f887,42585607,c792bfae,8a941caa,83d05082,defea859,86a6ead8,e5c423b0)
+,S(6585fe63,2ef3a69a,816bf5f2,9e627650,cc57d069,3ac217c6,3b73aa2a,f248a096,820aa3bb,20281afe,edd9ca57,76ecc55f,dc8a893f,de11f7cc,12f37a83,6cfd9f8b)
+,S(22232479,e55c51ca,b2963ce5,abf06281,aaec472f,e610d339,1951e41f,93f67bf8,e192fab,2cf22d7f,e67f0514,bc1329a2,888a8f18,a8d6504b,b7c5a9bb,ebf927d2)
+,S(da8d02fd,e4ba069e,bccaba08,2b396c94,4460148b,70e98f60,8267db02,5ddf16fc,1a30213d,e337084a,47d67e7c,17a2e64d,579756d0,8b66f4d0,59a76021,e63fa2bb)
+,S(a6f72c62,854e82de,f1b8a006,64c4e8b9,ad49e092,78ee6501,708a9f18,92202ebf,8355972d,b08c8104,b7c56ab,c2318ef4,2e270989,1a83837e,daa35537,1d03ba4)
+,S(2074fd3a,309e85a0,5c6f8c35,937dcc56,a15077ce,99f5a8ee,8d55ae2a,3bc7db68,e11c02ea,cb783c94,2e58fc0e,806a9816,3061a4e9,aea9582e,53ae1f08,322cff97)
+,S(49ed5666,fae9aa2b,70cd316f,62a4b62e,29aa59f3,1826106c,8611c50c,79a1a5e3,5ca7e49a,ae144e2b,dcc0b19e,f986967a,1477c209,2a8368b6,324bac6c,807643f7)
+,S(2289ec7e,a1f7e4e9,85f472a7,13722335,b582c4e9,8e191468,3ed13622,5d6c1b1f,11e2b18,689a0867,517bff6,77fe40f7,b03f898b,d70e8902,61a512ca,d9cbbeb1)
+,S(ea852ebe,23f1efbe,d8ac64a5,58ba2ba3,fbed0e52,ffc70635,bc49cebf,85859164,bde2ef41,fe97a639,73266583,c7a4e415,25ef1351,5b25cfaf,c97aa635,41cbb824)
+,S(5718f0e6,7cc07d3f,1ac1a954,8fef08a4,290b257d,a4179855,3fe9be1b,d302f0ea,98ec4d5b,fca65d7e,e72d8bd5,3645a6af,a6ffcaa0,a2eb894f,d4e40ecf,69acbe90)
+,S(df62a2ab,d77afd7d,ee8f0650,b75458e3,10269c3f,780cdad5,50bebd92,4b810a4c,6a6606cc,e384d27b,80bea2e9,588663e0,8d39fe8e,9fc8a8cd,54c4829b,8e4c034)
+,S(1010fc45,4b0c268b,c339bd19,809508e7,9ea7dc0e,efd779aa,4974cdae,805e6668,686a3adb,681b597,2b30a323,c6b6bd2a,d51194f1,9d3d801c,3fa65fab,e96410e1)
+,S(8ac79852,75673818,69fe93c9,6141493e,72ca344,790487b,d5425ed6,9f5c5c18,bb314248,fcbfc867,d1972e04,b9ef1f90,775375f9,9d25bcec,684c72c9,bdd1c08e)
+,S(560e9711,88cbc7ce,c61f3bf4,45f0ade3,6f3f174d,219a160,5f9c8692,3f848b9d,9e92dace,6775cc67,bfbbf21f,c64e6e9d,4d133f8a,c18ee277,bc80ef6d,d1b9cd2f)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 256
+,S(8c464204,4b95eb66,cc95ca08,8469a1c0,28eea52f,7f709fe,e6d90700,f5fb943a,bf10fc5d,7bc25181,301b3a61,5ebea597,a3492025,953c3aa5,1a11271e,689d0223)
+,S(d293f74c,f3578b71,35377247,cd8b0367,7f2245da,f87453cb,4d8d1cc2,871eb5aa,86c2013a,61dfea14,63e45931,eb09050f,f080e3d4,ae357423,ba7afbed,a64a6f26)
+,S(35997241,ae757b1f,c767611e,c76eb935,fefbf7a7,33666aff,4c6bd744,d7687d35,bcbea61f,246bcd4c,c3c7fd35,7bd393da,2f36e0ef,cca0df9c,5994f96f,c44b2aa0)
+,S(d096097,7467197d,3c1a0ef8,44ee35dc,285a17c5,bd9e06de,15f36025,7f6464eb,342af6a5,1e06db96,692954bf,c79cde9e,3dd44869,9e88b03c,d144b70b,bd3e8783)
+,S(8e875c99,2aeaead6,7033a375,521b0f85,62125797,23a25470,bfdf898c,ae41a777,24aa273d,2d2f19bb,4e0ba10,13127ad2,a5ee6686,1ec6d0c6,53f7a989,73c0bbd8)
+,S(bf51d1f3,2703a4c,d1ef47d8,172c5bb8,d622f444,8569aee,d2de1b9,ae541855,8f81e352,b6c60acf,bbde6e40,99353d84,5918d931,4433c30f,3c60a710,cf9aa484)
+,S(6fb6b462,9726856,22b2d141,5083ef56,2ebb115b,6cdcbaee,696a8d4c,8341c26f,9c08f7bf,f9cfcd9e,cca923b3,e578ba45,468f2530,baca2032,a899f060,b83c9c73)
+,S(75583ac1,8b5cf78d,7de6a21f,aff045fb,1db56f68,6b2cf89d,678df62,93617438,8259a22c,b08546ff,e237c7d,9c669c96,71fe014,9840082d,f6790340,9b69f900)
+,S(42611933,a5d759ac,7ec51c89,31b76e95,4aabc2e3,61010f36,cdd8ff9c,b4c0ef92,88a644ce,6b8acbce,a378e2bd,54eb84c5,58cde403,f99cbf8,7830151d,21ed4261)
+,S(243a6dbf,6128f964,bdae776c,a716bdc5,6dff9c95,24baf845,8a43ade3,af520d2,262a2e8a,5ce4db48,d0401850,e92bdfa8,3dda744d,a3d9025d,6091f1a5,201b7e50)
+,S(212bd175,1548c6d2,41e9307,a7df15bc,46e57e2c,5a76bd58,82b1291,d8c2ac76,82461bc7,6cc97273,267cc788,a8b24082,57f04ef4,719a9aaa,e33cbd77,79391bc)
+,S(da6d030b,21f96d2a,aa0b3e56,28ae0ec8,8ca8a546,10bd61fb,c1a7c16b,4d61177b,5b5bc635,8fab0287,4a2b8596,1b49ec29,2c2aad1e,1eabbd0a,1cebdbe7,2e3f9fde)
+,S(dc230af0,55a243b0,a581e101,2eea48fc,4a43137e,cfe80108,86a9f4e3,f6c1f01f,d0f98e1b,e70a458d,7030120d,a3d7feed,2eb5a9ab,601718bb,950fa03e,568180ca)
+,S(82c2de3a,c815c686,98ce73b5,6f232684,ee9c5972,f0a44797,dc16d04b,a9089df1,1c847065,c6c2cc18,fa253b8e,c1fe178d,c859844,2c1fa432,54462d97,93b8573d)
+,S(6ca2de88,74e4916e,e1965dfa,200af89a,cc439f20,6a4077f6,67076149,e20494a3,6ef0b344,97aa85dd,a43cc1aa,57dc7ce6,cd51119d,ae96ae06,99b5119a,9a662043)
+,S(ba2687c4,1728fb65,206448f8,28400efb,cf1149a4,90bd31f8,8d33af53,7851d97f,96ad25f1,1f2ce7aa,e8b803bb,3c62cd32,3345500,243b1de5,d61f20b1,86b4c0c4)
+,S(ac362040,1947f301,16032d5a,4b303323,d311f533,e46a1aa5,f1ea2f08,d553e0d,53839f95,fef32884,5a75881f,a17db91c,1d5b981b,7b20937f,df171c3f,2cb30a22)
+,S(6780ecee,5b1b7205,68d4241e,c3b35c9e,4158c7c2,2dbba46b,ac769476,79049e13,9ac115f0,31e0888d,2dc90b9f,3562e732,46520d57,ecc7ae4e,e0fbf401,3057d9a8)
+,S(95377a47,e7a2d5d5,30510d62,2bbd3439,c0f7653a,ab294254,cbb10390,d2a63732,57ac9110,9dafb62c,fe1abe4d,fc64557b,bb01f76a,36649d7b,91be523,f8195fc0)
+,S(4f195bf,98fd83bf,7ee97c5,9bd42af5,486a8507,3327415e,85f17a17,2add8921,a56acf25,1c82323,6327cae3,6b1cadd,1a057bbc,f1ef3b59,a865c7b8,691cf3dc)
+,S(eccd1fd1,efe8299f,d2208240,adbaabce,cc0510d2,d7b6f6ba,d9e291b1,4cbcb53f,ec2ff321,6da50fa5,c57d6f2d,3198e019,2d9b6f8b,ffc26b29,13580447,a42c667c)
+,S(c757444a,f2c3425c,728ff41c,f7cb7475,502e7601,c1edf2b,1eec84e1,b058f438,e1d481b6,169f143e,29701105,bc8b6657,9cd267fc,685014b8,fd070283,6362e53a)
+,S(3562837e,bff50776,58d99662,7a11a367,aef3255c,1c470ac6,36f1b57c,645250b8,cdcf4a0d,97aa58fc,ccd374bb,bcafc00,fa1d0d35,ca7fab9c,f4d72d66,299234d8)
+,S(ce9dc245,f62e97ab,d2d339e9,7fac18b7,b1f2f07d,fb654a82,b113317c,86d4a3a1,f6e1e325,342afb8e,64fe8520,ec37abde,fcaf1b30,be6ecb79,27ba5615,f0d184d5)
+,S(ac022f3b,48ee44ba,9d271a8c,1a01fa8a,aab4818c,e5383dd5,42d9d6e3,2c858a12,1e0563a8,91f8d11f,1989e091,739611de,191e497e,66055aaf,45db9ba9,72ca76fa)
+,S(d1d4f682,cb12cfaa,e46e57e6,db6f2277,55a83782,88cca4ff,3a999c0b,a651d9f9,1b19bfe5,870e1931,4c23b4b0,71672233,1607264,acb8e960,488598e7,85e71a36)
+,S(79962171,bbddaf94,45fbacd4,f9bdd1a8,892e754b,2d0052ee,2435303a,ff1c8a37,b8ac27de,2a952beb,45472f77,b34c1354,fe47b6a9,daf0720a,b8515be3,7bb98a7d)
+,S(445a17c4,2390b604,bb3c3573,b061a2f1,20ecb3b1,83a0f8d8,cf032e3c,509d3b90,b75f4088,7c07fe5c,a0c057c8,7eff4966,4ea76941,e409a6aa,e34ad4b1,693f97b1)
+,S(6166b5f9,63a9f47f,5fac49a7,8d175763,8c39cd49,11d16ccf,b0e83bc3,f402051,ba337661,8302aeb2,213e4620,4ec57492,933d6df5,5a045d7e,5317ddf,e92430b3)
+,S(cd666e74,28901afe,8e67d0e4,48de7e3,30b6dbdb,a34db4a9,29315d3f,8b251531,af72d8b9,43cba540,e42398e7,49fc89ed,44095951,f11b24f9,e5451810,3802304b)
+,S(c833be8c,fd2f6fe0,46d837a1,1d990355,5a6285bc,d7b8814e,e839cbad,523ac72,7ea8f90b,44112363,a8d75153,150c3b4e,b6c07dbe,fe8c8ed6,3a24984,c9a6af03)
+,S(cc185f36,3036d385,d890ac1f,5e95b162,e40e4a4f,e8427613,98200369,f25ea477,e0768836,146d9c98,98aaabe5,a9ce12ef,f66d0775,4055eb42,832eeb9f,26338236)
+,S(148e0863,24bbc2ba,b67c9be7,407b809,77ccd910,e92c9770,47943c29,8c9c4a5a,89e83c85,9cddfc80,9de733ae,6138e97d,b706a331,fb7176ee,55dfe3ba,c2408797)
+,S(9b1539c1,aba5b583,5c88d9b1,92a3761d,cf8b649,54f53a7e,460e0122,bec95c76,391cde19,45be59da,d4c895f1,3aa1ce24,d8472e42,a232795b,967f21d5,acefdc18)
+,S(68a2e6c1,75fb01d3,76a9e575,ff427cc7,a6032774,a974bdd3,e93b8a73,e4495cd,153e6484,c8c30dde,5f269b74,1c599647,666cab7,e273d4f2,5573dc4e,78e00752)
+,S(58fe9049,35a5a40c,3b633440,533cccac,7669e9a2,e7c2f0b6,6c36c228,61dfb04e,b36905c5,92450e2d,71d06e2a,2d599a77,71ac1e27,15a79555,b39fbb60,5536e1bb)
+,S(823c0f96,dcbdd9b0,bfdaff2a,19b6027d,3e9bca6,e298378,3375a783,5eac7080,d91546cc,f34d9a58,babeb6d5,43bf3c36,8831a2b0,d9043db8,895cd208,f2ad0a7f)
+,S(4a56aeae,e908f908,55fe7b71,3013ee7,d6812152,4f7decaf,533cde20,2d14537,7e60c801,33b718d2,119995b3,3790eb9a,3129a7fb,2e030d8d,21af90a,c622b7a2)
+,S(6c0f3855,e6c4f5f2,c4594e2b,8881319b,82a64bf4,9fe0968a,71f6ca3b,f9240334,5c8e7b6d,a9efbba8,4b5ade85,305aead3,e1478ad1,b4d56fc8,3acfe34d,23b5203c)
+,S(d9cf8f2c,d1704907,15dde21c,f172e648,496e40b,5248f331,3aeba2a3,35ac9632,92a7c251,b440f930,bd98299,c35d57f7,15867e90,b6c3e8e6,b073815c,3c934344)
+,S(4bfcb492,8b91dc7b,afa7ed43,d9af3039,77592728,fcf1b9e2,7c6767f7,b993d898,276a06f1,ecd9d410,b34c9a4a,e3aa33b8,1854a4e9,e4703dda,7bfca949,a45d14f7)
+,S(abde5893,ac4032f4,4ed93dee,8156596e,7cdcc575,e5928792,944019ac,23c434e8,5e03a809,2b9e6044,e942af7a,7cef02fb,46162cb2,4c19916e,d774b00d,8195c40a)
+,S(205d6307,7a98a8e1,178814b4,9281da20,4482f1ae,31be20a8,3b3b0fd,526e1cc5,4bbe295c,943e3560,6b95cb19,d6e64bfc,b9cab7d2,55657614,7a79ff50,6fe4d780)
+,S(cb4c4c83,e6673a1c,6c228a42,36e6031d,b59653bc,45bf4b7c,3b98cdd2,441c43bd,142e0276,39267ea0,f7c2ff39,75afe714,62f3340c,1fea5149,cfe4e8ea,e31a2769)
+,S(25a1f4b2,7ff5bdfb,3af54a4b,493356ef,92ccf0b2,dec7c4f2,b5abb225,2cca77a7,1b25dd93,153f8341,7df3b3af,c991f2d9,36c32e8b,288a7fe9,3e9ff97b,335c3c38)
+,S(222f76a7,7eeca0d6,a511c863,a657cb89,5a1b7154,957b66dc,89ca77aa,2a54237b,a8f2bee0,64eff88d,87a598a,8665d295,a205c884,2f6a3492,7945a02f,2cb0b289)
+,S(32d4328d,1ad2651b,41bf1015,6936b406,379f5c26,99f1c2da,ec3cbd8f,3b4dfa8d,9f6de6e2,3294a33b,5f4d4062,3e478096,df5de0a1,d069290d,204ce930,7988261d)
+,S(cde9ecbe,6948cd70,3b193790,6662b7d,187d0830,cf991b14,e8265691,81f1d3f0,84887b32,e1218d2,9b77794c,e8ad56c5,f5abe8ff,f95515e2,4bce81b1,5b029720)
+,S(bc89f45c,3baaef4c,a8343582,6506a006,509f4e7e,265e4b80,11d53d3,a748947d,eff5bca2,714db146,7a272fce,534f79be,9fa15af,7226ba49,51129f5e,6fe68475)
+,S(62678cc0,eea2bbfe,2bd4ba65,5434a9ad,39b409b9,b57efdf0,9940f748,ddb51d4f,8d384f4f,d234d31d,1c161245,ef6dd54e,a5cc8ab9,e7bcc883,6735051c,37a74acf)
+,S(15e01d39,c63ae225,63dc89cf,3dfa2736,df7c0ac3,4fe86f8a,f219f933,86bc93d0,1f563532,314fcb81,c1725133,49769861,e7efb999,fa317ef4,2bc75588,10cfb13b)
+,S(4f8d2b49,3493258d,ff98e813,e428ae9c,52c60103,1bdbeb9,7b8f364b,2bac10e3,8c7d117b,67955db6,c0058028,3f919f57,1e8c58e4,216ca1bc,d66b264e,169b73f)
+,S(d14ce31a,2bf16b60,983e397c,ddd3588c,3b0d77b4,f449136f,1a789276,b56f1d61,9a15f620,b227d83a,3722ca6e,4dd7bbf5,833f24c7,2584f356,11ef3734,ad3f0910)
+,S(35221b4e,b8c275f5,c10d656c,9bfea000,24c1aa2,c4130841,9c3e8e3b,66f780f1,3d1c5a02,5274afcb,bd78382b,b2778657,6888d46,1b5dffa0,f8ec5dd9,3bf8e808)
+,S(82ed9c3b,1c76c1b8,f44ff6f2,9f443b20,83f68617,7270843c,49eac0aa,34a8ddc8,262e9e6b,c2ab2b86,7342081d,90002690,e81f5a58,aefd6fc4,8a91dc5d,e95f1340)
+,S(919e960e,acf2aa36,e86342f7,742e97c4,9c49b64a,ff5c6118,d181e349,10717b85,4b51a94e,a3ea1679,cd9ce9d5,ac329f13,ef530d42,c7821650,5a082fe4,d945b861)
+,S(cdacae3e,20ce551a,beeabcaf,a643ce62,edca3de1,acf06c30,65ffd366,5bc3ec7d,aaacbb13,872b076a,e28c326d,fa54f4ee,235df4a4,b341c9b1,3d322071,6eb95bb6)
+,S(1a4508e2,1bd05c09,f3d80f82,90726f08,de3a62ff,b663d5a8,f949ce26,92a5f2ab,52780ff0,976eb033,760459bf,4bf02994,c6e672c5,6d25d3e6,2b320f5,2cca97ba)
+,S(8e46eeed,5686f25c,a94f73d1,3f26c98a,e9129f77,f3aa18dd,d5214262,803a0b45,ee56d38d,7041eea7,c87f2ed1,e7f0aeb6,7253d556,610e8200,782c9af6,1dedcf4d)
+,S(782910fa,3bd6b309,dad797c1,5b618469,68d6171e,7a0a0532,a92e5bb3,697e4031,ff178365,c44c2a28,e84c31b8,946b0a80,717914ff,6d3f22dd,ee409753,44e4b3f4)
+,S(2ab9e8c,c5a710ca,6cc2d0a2,94f1d7d2,65c50aa8,f9069041,ae93c91a,e5f64e8a,aabcd0f,a2254bad,67cf23d,a5934947,18536602,a13d81c9,db23afc9,a7f89b9b)
+,S(d04667c4,4fb25b22,8320cc53,35252937,a094ddc2,4610f7a5,fcb1bd1d,6382c9e5,7c93613f,8bf048e7,86af436e,cac4fa86,6e5a91d8,3064f5c,e31d4794,b2b0f74e)
+,S(b9c476f9,799cdda4,a51b0476,c5838994,f157bd29,c9361252,def4af83,6e86b0f7,2ec7619b,c77948b3,f25cefbc,46845527,d1a9b0da,a90529ef,f13aab4a,ca97932e)
+,S(90bdedab,f13f9940,4b9d8c56,5d64739c,4ef765ff,dee2ae0d,64fda841,286eee85,a9f47882,d9a848ab,4be812a4,8187d26c,7f8bb8dd,b94f7725,5c628104,e0cf21f5)
+,S(a0c394a8,2177734,c02b8310,74ebf0ff,ff4208cd,dcd59e7b,a680737a,fc485c84,c4f08932,b4c62f34,fc82434f,e9b7b164,e835cab6,2f34ee3f,d640e5d7,d09364b)
+,S(1b0319bd,3896e8c6,284f949c,72e7694e,bd3c2923,ebeac273,b9aab50d,30294c3e,15dbfe9b,17c3aae7,e5f8233d,703b7b1a,1401b672,1da32080,53ed52f,a2ee339d)
+,S(9914ef0f,e92f16be,a27a9354,518dcc0,1210eb3b,3a90f2ab,6992e3d9,bfdc719d,7a0bd065,cea0b11,e8df3629,faf65a30,5e671d2c,86332b83,98ddc2b1,b3c4086b)
+,S(3a68fa19,5599f638,7dafa176,395c9615,5798ad6d,7ace7810,daaedd13,ddf60d3e,74575ae6,a3f569db,394faef1,e0641ca4,de158eee,9a8ac54f,5cd96bf7,d4e71a89)
+,S(b7361d41,e2b67e31,f1872b1,b1bffc8e,41193dec,7f012385,9da69c60,5e88b2e5,fa9d6b95,66d49bca,73cf5890,f6e7acd0,315347bd,f10be9c2,9b0907e1,80668344)
+,S(341e9987,42d84640,f6fd1354,3fb7ff9e,aa93a4d3,12e99bc6,37b85b83,25174e81,c49608dc,91b46187,611cbcff,762e5fc1,e95b4e9a,6ed747ac,8612b6b9,8bfcfc95)
+,S(83d6a445,de34f557,40084909,402c9718,1f6420bf,af87426e,2a0f75da,c483e6f6,7a86db44,58c8fb53,5edcf48a,14a94dd8,e9fbed09,277db0fd,787c121b,a1dddfc1)
+,S(4f11235a,14bcae9,89082bf1,c6a499d8,32d17686,2fcffbdd,a40b84b9,26ac351b,b50624f1,5f31269d,168021c8,37739cb7,8678ded,be59e288,6e963339,e94a2acf)
+,S(8fbb5727,21cfe12c,ea685907,ab6e3d7e,eafb3892,c082115b,998e9a9c,d3ee2b89,da7fe685,c8148e1a,5cd8de8e,2a5b5aa4,ef1bb1a5,af8bfab7,91c923a3,66906680)
+,S(804ca63c,b9243f5f,76605b1f,53f5989d,286023f2,fc672bd6,3f52c59f,5496c3de,372912,eedb1156,a1b8300e,eaeb44f8,865fab6d,49c89fd8,43170b05,d75233c6)
+,S(b2795c6a,b83ca824,6b18de87,5660d04,60b48ed7,1de9bbf5,8cc1769c,2d2a5365,66e8c2b5,88530b6b,4d351044,186a8a01,db684157,9bdc041f,90d0935b,2a49d820)
+,S(deb5304d,b61bd914,c0939d07,c0464eb4,caf3903b,1903a588,208c5e05,36d9dad3,18d54f43,e7e45e76,6a4b6249,1e48073c,40507dd8,3f7b3b27,762a06a9,4d5777ca)
+,S(111bf502,d177ec34,b6c61d69,63366901,eb79d5e8,5749f5cf,7743cebb,9b7714c4,be80d52a,bc38bbcc,f036bad4,5e47a0f1,7d8ba20,fe6780f0,bf8c38d7,696a4e54)
+,S(94b10f43,c15c5393,e8d4e71f,db863865,daceeb50,674d0f8b,161bd38,dcbe92a5,ec55af2e,a34e8c36,5b3f7729,110586cf,8d087dd7,f1a0ae9b,d25b9b77,f5be6dc7)
+,S(4627abf2,2d447784,c53e529d,62d3036b,fb4a422d,10146248,d3b1f188,e895593,8b341d8d,6110b59b,738172d5,6651e948,cbea9ef4,c7e8dc48,3a560503,eb7b3e4a)
+,S(19ce15cf,dfeadcc3,7375727b,5ddc5327,585dcabe,c172aa80,757ba468,297c355f,506555e,ce829141,736ca9ec,886cef26,83853e7e,5b3ba66,25cccfd8,4de60f81)
+,S(75a40681,8293fcae,8c3e97d8,e1f916d,2950682e,16d3def0,fe6dcfd0,ab9a3e55,5292d5c0,e02ee24d,8139f2af,495298b7,4526780b,f39f5f22,a047d155,dc8c7930)
+,S(a7eb8b8d,ef4b7686,b47a341d,4f4a7333,88cb82ce,8f3226f1,cbbf79bc,1f3bf578,85d98b6f,e238577c,b3b52bf3,94a72589,24407ca2,86865cc8,80cfc93f,bd8199a1)
+,S(a5b9a2b5,dcc91d67,b352d14,3c19f6b9,6c9f8344,50e16c00,e8a938de,b3da647a,f12d4fa8,39850471,64335aba,1260cff1,26fc4e13,fd16cc29,63472f28,7b9571c1)
+,S(7999c6ed,48d589a6,5df7c20e,e9b0fdf5,df58d831,78ad6171,57c09cc8,44015cca,156f4505,3706c3a1,c54b3fec,bd3f12c8,aaacaf0d,22755014,5bcb731d,418f5756)
+,S(88fe81f3,b708edd1,b85baade,6c05c7ad,42202058,6dc2e8e2,fead379,c49829b1,cd62e24f,b04b7d2b,b1434150,260a052c,8972a8cd,daa1db10,d99d40d7,df727c01)
+,S(18fb0eb0,cfcc61fe,423192be,b694a77d,91216537,5087a64e,89557d5f,4fe86763,3cf72b1f,dfe8b565,38e88e23,ed871d7,80f4a6e3,55229922,b1f28c5d,38169785)
+,S(dadb3231,2be4f2cc,cff171d5,baf18e76,4719fa,eb5fcb66,d919c86,efd38aac,8d67945d,752de8bc,b0740e42,3a154449,50e0b330,c6a73981,3d9f4b30,f98bc0d7)
+,S(f0b9a086,7cdd9f64,6b3aa0cb,e3105ba,7b17e09c,6c1c39c2,d8057f06,a39e5c8e,2b534e56,25e6d180,40dcf431,9821cbbc,3ff91303,c14bdc81,370c9e0b,5ef4e9de)
+,S(dc0e0b05,2e49c3a7,e5d0e253,672e8d43,1cd60166,648b932d,406fbe8a,c2fcb7e0,ff919786,8e1c651a,4cd39cb5,6921e24a,223e7af3,821fdbea,86547e1,c7b791d9)
+,S(e71cae98,fb6ddd47,35ec365b,515c6ca5,6bea748f,11811038,b74aa5a2,32eb91ee,804ae818,396c20f6,e2fc5bc7,5dbd1f41,9ed731a7,2801d06c,e6682bcf,1d600266)
+,S(50d1b5b2,f7b2e4ff,3b594d48,6bd2ca6c,6b5d5368,2079bb9f,88d792b4,d4ddfd8c,556cf4c5,18fa0660,86b9b03f,aba18fd,5c554fe7,4020df5b,6e34bc88,4d5cc744)
+,S(c087403e,2bd5d954,df8c5e86,f23f6cb4,96634886,b4709747,325321d1,bc2701aa,9db44987,d8517300,6e3a549,eed87e06,258bc14b,e2b00679,3a2252,a3507712)
+,S(dd1037f7,f3843422,de8988fd,3f68a299,4d45f8f5,1e9242b3,7980f517,bd6d6894,ca8e6d61,5cfbbcdd,8b1ab8b7,673093a6,1a9c08ce,56b065f2,54fc191b,25cccce1)
+,S(de229a19,67ca589b,f4a840c3,d18f764c,424dfda5,6c099d14,73a9cc7d,34b5ceb4,958fc9ca,84ca63a9,4323f4b2,ae46ff44,a1d352c1,1b8e8be7,2d5115b,54122b22)
+,S(15e33c9,cc9d84fa,16225f48,70a35a42,f8a3a3dd,67a8dcb1,143c7ee2,4cdfd9c,413c0206,ed48cd5d,36205836,45e4ad6a,a59a1e15,c7f36256,2f89b9b3,660e920)
+,S(53422561,ca3c4d87,2d23e317,3b21ae38,dc010b99,b7ab0fc4,394e408c,a3d6bee0,6ee906e5,e505909f,6507c7ab,779ce1c8,20f2c50b,a71bb8b7,8debb3fb,6103048e)
+,S(829dcf4f,9b2c4f37,32800bbf,f5cb71ca,308bf0a,9176a74,a031d972,9a82b2fc,47378200,429e538a,4e249d3c,9f58873d,abe3f8c4,615c5d3,3525f6ae,5f8483c4)
+,S(ed6f6eb7,3769b1b1,4923b989,acff97f1,c05594ba,1d5f4ebe,450e65c3,8ae911e5,dfee6f2f,3fe584db,8b98cd0b,69ff6219,d52e2d9d,a372ffbe,18e500e1,a2c38eb4)
+,S(47e52398,1fbe720e,8fcd1982,df2b184b,70616ebe,cb4913da,30327205,c0455503,afd2dceb,f360c30f,6820cfbd,1de0de70,179f4cb8,6c461251,5eae2f4a,baf3e900)
+,S(b02937d5,8f48e1f8,6f3f1170,f5e880e4,ba10e2a8,c13dd0df,49fde04b,a9037312,dcb0a4f,3e4c8456,316de580,5355e17f,8a6c7924,f68cbcf5,347d3c7a,28c18c4f)
+,S(9f993cf5,3578c1c3,25c10c2d,c3c066eb,878486eb,dfdc65d4,4ee57fd0,ec1989f8,c6b8d40b,16b8811c,d666ea43,2e61baf9,e83eda6f,d38275d,9143b386,31c8bb52)
+,S(943b6cc2,5913ec1d,f12730ed,bdfd1d0d,ce431784,f36fe84e,599f9b89,dd3240e6,e58102ba,cac2ff3f,d42d7ca3,254ef55a,9604d3ff,fab5b16d,9f77482,4fed3fd0)
+,S(9b0e67e,69b3f9ec,51843da4,f7b5a7c8,59511dcf,47f58a64,81fbf2f0,19acfe0a,6a4ddc28,17a4ecb4,ce2defc7,d7333ca6,2e074c36,f7e49c67,4a009d30,edc54dd8)
+,S(97dcee33,9cd8d18f,8c3b0fd4,48ca6e6,c8246b4,136bacc,72ae8673,a4571651,6163a205,cc20bf39,8aae36cf,c8933dc6,29b95246,48823d51,d82d2d2,74e693e4)
+,S(a1e5e6f9,26961eda,7cea9c26,f4a1ba02,798c940f,2b7dc267,2999ff7a,d2292ced,50274b7a,6a710f74,ed138401,36d97657,cfc07af9,3b9e8fbe,ca18d31b,8d5f19d)
+,S(473d5fcf,7cdfddfc,52fc9bdc,6fc77180,1c21bdb1,840821a6,1a984296,5b4884a9,348836a7,ad7f550,feb2d703,6c82d95b,89ff95eb,e8be6250,eba7c5b1,8fd856af)
+,S(9c187442,7384b2d0,4fcc33b2,70544c98,db8c1e13,2bb149d4,54c51ea1,4796f613,2d6dec43,970f0079,3da12e47,595cefba,c1825d36,c71342b,7913f7f5,fcae0a19)
+,S(11ce1c46,9150e2bf,b742d826,be740e4a,ed63c729,5f5bf51e,c7a6aa6,562b154,6e86514f,ea38280f,abdf8b93,be8b7d92,67f3b28c,af2a4271,aa3b6a62,1f4fa33d)
+,S(1e037904,e4e2de6f,2893c354,18d1cc6f,dde2fd71,4bacf1cd,4d9a5c56,79656042,1bb759c9,34c26821,2a28aa38,a0af035e,3c81ac85,3c01e21b,462e81a5,8c960755)
+,S(52fc9467,23f899aa,f1a94f24,f9e3620,3f8d505e,31cc6800,9951d9a7,c0071d82,4632ae0,75430820,20cdfb99,270b47ba,39c909b3,4b3a39db,92419697,d0bd6dbb)
+,S(cb585905,997519cb,214f9e39,496f5386,35069eb4,d78dea4f,f9e9d803,642b20d,1b9f42e7,a5b475a1,e42a0f51,ce2d5e50,7131b2f3,5990ed45,64e3913,ec93ac7d)
+,S(382c2857,29f14558,75727584,5d37bcd3,e7ab180d,a11c7a12,cecae00f,b4a69c46,cb27e912,20a70fb3,6e258684,3f128693,495907a3,e0b248e4,a25c1e7e,54039440)
+,S(16f086c6,c2850e49,8f8456dc,eb33a692,a4dd613f,b2f9564b,6dcecb88,4f4e5024,2e152a08,88eb1188,3448ca68,25a65034,73cb5ece,c9ad5df3,12deefed,279339a9)
+,S(7589bd1b,1f0a3577,5530f0ae,446ea275,4439a51f,66730950,6eed6177,65a02492,2d840e12,d3758153,1e5771bb,14d3634,4076fc3,630c389c,ad9765,98462d49)
+,S(18b9ae40,cce63a51,3dedbd2b,c3beee9,a80cc5f5,a26b4446,9a0326f4,d4930890,24b86a4d,d5ed3c44,71b57138,2b270d0b,9e0032d7,8e0ad18a,cf6a4eb9,2a2690e4)
+,S(8c1f74a4,acc71ef6,4030db5d,14be8627,94e9ba6e,102c89a4,ccfe8a8a,d3ebb48a,a79f0119,98aea529,1e3ba735,c8b26c86,1af1c119,92d5dc94,16eb1673,9245677a)
+,S(8d80592d,36bfaab7,5b557ba0,d03825b4,2c0fca08,8ec7d046,5cd2c203,c2bfb080,3e479487,91f27453,4d0a1bd4,a533fd2a,7671a654,10cd7a51,859b466f,151d3f6)
+,S(eab0bb19,f477e158,ec85046c,f2c56777,f36782e9,e0452770,f7125765,670ca248,a27d7081,23093af4,daf55e56,32ba071f,37f0bd64,3f189ebd,70074cca,7cc04640)
+,S(ff0d0dc9,ebbb2fa2,6d3b249f,d5260ce9,9647e1d,db48799b,db532c6a,2a0a039c,12b0f6ae,7f161f8b,ce1c3505,5d9b760a,fad5b0f5,66211023,3c43942e,fab31fa9)
+,S(d89a3235,71dbbd1b,92340346,8b08b7be,be22b320,3ee6b0ad,42a2aa96,3837d526,25da35b9,9988f167,3108124d,9e6f6f1f,db4a0490,5546fb62,146b7421,36e3cf27)
+,S(f150023b,f01cab2c,433cdafa,86751f7f,13ffb315,55d34a22,9ec4c012,925b43fd,31f70e21,26ac896,6dc966b7,17a9e483,8ac37a6a,2072bf34,1a9c3d33,3ac7a9cc)
+,S(d98ebd3b,2d580978,72ae9d5e,2c2cd0da,76f442c8,e0b4470d,9b3ee019,c83af2a8,9ed5b6a9,5a061970,34bf9873,da6c7224,930fb358,a514c823,e0017c92,75dba3f5)
+,S(55b62d85,833a94ee,dfc2e313,df3ca816,8173533b,fa77d827,583fb01b,cbc3c746,9f848773,cb95af7,b79eb921,19a7a139,1f4dbbbf,44c81897,15bad111,364a835c)
+,S(dfaf4d76,fef73f93,44c69de8,f6c1c3fc,ec759c49,a2a7a1ca,2860fecf,bd718de6,ac4af693,44e2c287,f6409f94,c36d93ed,7fba1f15,195bd971,357d3142,725a0671)
+,S(84a444a3,4510922c,37420f29,a16ee22b,a7839f3c,5810cbf8,38b7f3e6,c5fe29da,ef733d80,2215c12e,143f420a,673069fe,6e89af70,cbf975f,a1898550,1114f06a)
+,S(d7c84e11,46c87008,3ddd24d1,296811a3,2c337749,83892548,6291aa53,a72212af,b187dd58,a3be40bd,c3d357e5,480aec61,9579b2d1,4d79745,f84cd406,10844ac4)
+,S(fdedc27f,a70b08be,f3a9f616,575072cc,c7fca4b5,71a2ea06,9ffea788,5598051d,fe9b7b1a,1c575a9e,354d279,ba7f4de2,53f6f54d,e7245fbb,3ec462a4,7b9bf9a)
+,S(cfa7478a,d3f2cc6a,92022b35,58437b3,f950c250,4d96b9a5,c2d5c795,ef122e77,f3e48dca,e9592835,354f8eed,ffdd4c2e,2ad7800a,3da863bb,158945b2,261409c4)
+,S(8e9157f8,3fd62097,70fb7493,d7678fce,aa1584bc,d8dde3f8,337dce8,ee0eefe2,6079ba89,8c05dfb6,ba4f91df,4b4b229c,3322fb5a,44fa988a,c8d9f3a5,3a05351b)
+,S(7bf5efb6,103eac30,ec4eb80a,9bddff22,9d422ffc,6a7f9dfd,bea8b928,3116f75,efadb659,64791edf,e5935554,25796141,2cba4b4c,3553fe67,ba138931,3ba71a3b)
+,S(f5ba02b7,b7b2c2d2,68c7b1b5,37697079,690a13fc,89d1d53e,85f27820,d0e8df0b,66316d26,b2640e41,bfc329d1,9d2d4430,a9266b64,c3c793a3,af7f1515,9e465485)
+,S(5eaacdf3,dceca4c9,6d2bc3db,f22951fb,87c10da5,f1250828,4a1498bf,ff004475,cb3db3ed,9721ce09,16985d40,4831cd04,b38f5810,977ea106,c8c25194,ad1f122d)
+,S(1cfe5c17,b8d61134,53552ba6,ad513371,d1320abf,4fa2de41,77c5a768,a64a5554,53837cf6,4846b887,1e64a2f7,e319f740,99bcabe6,7a0894,5edea46b,fd1dcd5d)
+,S(92a83f47,8a2ccc86,1cc91dd2,a1210fbe,286f47bb,44e46880,5e21f0a3,7a5dbc10,fee35c65,fcd45b02,f8270b8b,c198132c,cb69ff9,ec35043,684f54f5,c999de94)
+,S(172285ba,d5d539b0,f4d86ea1,35bdb79,73c07ad3,24bf5dd1,4f74ab69,cad277d3,45abf940,cf356364,e0bafa15,cee3e20e,cfc29040,288b4897,314c22f9,aaada654)
+,S(ad17bd53,92e19bab,8554ae08,bf9158dd,3126ce81,3a05c32c,7646eb73,cb164762,a129819,1c833987,775d4f47,d9d70d4f,8139c651,896f9b94,e164574c,8d065586)
+,S(10421b3e,91a4a89c,1f6ce9e9,13e511c3,c23fd307,c4064a12,5267cb31,2ebdeb1c,539bb5d0,9e49f0fd,186b8a51,73118cb,98569700,dac77cc1,92359286,3aa53319)
+,S(c43adcfa,78152a3d,dcb9eba6,6632aa5,2e8476de,1e0e30ff,39735b06,21de5bfd,6ddd09ca,2122580b,847d04f0,5dacbb7b,1e81c6e2,6057d880,1a911a55,9cabdebf)
+,S(f7a99ccb,603a58d0,4c6b9e50,d9e7d988,14434f1d,92aae27b,5c8d9006,98bf9a73,ccdfc244,76f4393a,e96d6809,1cb74130,5e62934c,cafc9b08,78a3a77d,a71a7ccb)
+,S(9abc95bf,70174ea3,5038f44f,4a2ca9be,f602d516,9d249aac,b3175be7,e09c826,6cfbceed,3e71f8a3,d427d2c9,f8cedaca,22a9fedb,4cab7763,617198e0,d7adfe0c)
+,S(8a7ca893,35c84873,ecb4af06,b493c9cf,d7bd08fc,d0535c5,546bb9ed,5c5d8d82,2518b372,90d3c08,72f1ee4e,54144799,209ae3fe,d2f285ba,7b00193,21e31bc1)
+,S(70c8e379,8649628d,969182fd,862f8d4a,b39fdbdc,c246fb79,ff1c9227,a64d1c3e,c7931ad5,27ec0a4a,ec297d9e,fd56208f,936c9517,4efdb86f,7f50e321,26ea3cbb)
+,S(d783f6b4,6121ee0,71ddcf61,b4808fdc,934a82e7,c185876b,9572d628,31002121,aa92bd84,14226949,9e107c82,b9a64898,28b3ed15,694ba62c,a031d98b,5e9c7fbb)
+,S(c1f06a1c,29abb43a,cadffbb8,7ea8e4c6,b7592795,9c778758,1a17e4e7,7b654c18,1dae0de2,f1db42cf,ab9b0e7d,9e5a098f,bc102470,aa418547,6cd1925e,fbecdbf0)
+,S(2ad74e11,3205b587,866633ea,32172662,d1498a27,48698724,87b7e62e,52cc5105,c70c7507,de1fa1fd,625aa7d3,755c83a,b5c85159,4b8bee10,5de45da0,d0ff779e)
+,S(f490e9ad,72246a46,6eb74e23,371c4f57,a9e32b57,74ac9ac0,3d800978,d77408b6,546f367f,8fdd1687,ba6ef15e,4c258507,77e49a1a,8b449fb9,63a0f01a,a9dc3d6a)
+,S(20502891,8357b697,e05788b0,55f8bb32,80c431c5,de07055,3f123373,981d6149,39d040e5,44110e22,58da6771,2852fd09,9489ee5b,5c77a777,7966abd0,468e3b0d)
+,S(6e91bb8e,c169a3a3,eef59915,d4de9296,e4b78299,e038c5d1,bb001eb2,f86eae95,d2c21297,88f8c9f1,16434063,a89fac48,45305dd5,d208c887,2ae94ba2,80877dfd)
+,S(cf2947c8,39fc40b0,610d0d2f,e1e5ad53,39e7d0ba,9e7dea01,90678bb1,6ba34905,6145a70f,7f0cd53f,d758d7b,172e875d,8db00f6a,131ec7ba,aec140b2,3f37c63d)
+,S(b48f8387,ea93a6c8,561c9b01,ad32a28,1c8db1c1,ac3c6864,ad161874,fa2366f1,2cab333,cbe07d3e,26fd971b,3609cfc8,9f46bd81,df84276b,375315d2,7a2d253c)
+,S(7c4b5f66,c572d34,e4cae58c,696fd43c,30f6054e,8145715e,f391eda1,42a1f827,3cbe264f,be125af0,3907c5fc,c61232c2,d0adc2ad,5f94f3b0,8ed32ad,99843d97)
+,S(e5796368,d4649e19,6227f989,78758d9,8fe24e51,f5d5a567,378a85e0,850d86e8,74bb343,c9a69128,9ae880bf,67a7e4be,1fa111b8,d6608896,46ec354e,f6c9d4a7)
+,S(dfa1065e,fe83e9ef,c19b8841,6e3ca5d9,67c1ab26,53c7d650,9f02ba58,fc4d637f,22d2567,eb0237ba,2f270e04,685e5352,e23fdf19,a2aa0a23,1ec83eed,ca5042d)
+,S(2ea1d8aa,d436c332,8fda3ce9,8e710b80,8f463844,cf131f2f,2347b37a,928af132,33fa7e0f,b8c2ad10,580a243c,ccf2a4b2,13ff9620,7a034432,8fc61f31,e98dc4c)
+,S(12ae1451,8122af3f,a788298b,5e59df37,ab6a976c,f8a931b4,c0a51de5,d567253f,85ff1dd2,b3271d2e,de2fa732,9e3f0a5a,1c3ff9ae,b55555a7,926d31a0,1d24877d)
+,S(fd46e1ef,b588af1a,a72b84fe,dec75a3b,125579ef,55ef8270,85645930,95bf6619,d06adc6e,ceb6292f,60c7d477,c73a2aff,342e6b7a,e81c5ea4,f57cb7b,27a51b17)
+,S(ed7d93e,b8c0d1ef,1c49e1bf,be22acd,c7a17946,b172de61,4a290d0b,7f32b52b,4d0ec30a,39a81c3a,f8f6668a,742abeb2,b5552284,a68ce246,f368ce9f,b2303ada)
+,S(fccfdfa5,cd0e79a6,9febda81,475c06dd,58517913,3624f4dc,9d808b6d,e9619ef,79b9040d,11d09bed,f89959c6,992a9636,ec62324a,d60e1513,9bd2441a,dd0adf49)
+,S(831762b8,6a9b9afe,d2a044b2,7bc714cb,16823ea7,22b44010,a57a5564,4b4ac477,147ae062,8ef3bfdc,b48b3f77,f84dfd77,2754c1dc,a626aff6,9c3169e4,9956c708)
+,S(33448c01,a84d5303,c8f70adb,bfe0ccf9,f92cc461,f2656fb3,4903b99d,4ef26b01,e5727349,ae8ba61,c8ca8284,ee7f906,208ad03c,6fd7c95f,736ea541,ffb8f2ff)
+,S(920a1261,6ddf1304,157ccb8c,50ebaf6d,60df85da,b19b24a2,48254cc2,7d215a6,19e4d4f9,cc91e890,3d2f7a11,ca8c0b97,e2cb671c,e0c4ee36,9f1a3ca0,f28d0f4e)
+,S(1df8ce1d,3e370b9c,3f60ac00,cbac25c5,458385a5,c4b926b7,fcafe62e,536b1ba4,344df46e,e3635079,52af6160,2729094e,3fcbabf5,bc701083,533e7e60,5099a92b)
+,S(7227847d,abfe26b8,13c18175,c37a0526,2e2243c8,d80d93b6,286b2881,d38b7b72,bede79eb,33da3cdd,95289c93,46165cf9,28b5aa41,c46b364,622988b8,a7973d24)
+,S(6defba59,e1218bfa,b02571f8,ccc84104,3caff74f,26d8d995,9729f292,eff7fb8d,4d7baa8e,21f2fbc5,96f770d1,bd34e77c,2c188c05,5921c1a6,95696a8d,4c340a04)
+,S(c667f4ef,f5127d24,6b31ae02,2adf53be,8302e1a,b631a0f9,90b16051,e02d6bd3,3d7bce76,ce11bdf6,fd4d822c,37d746a2,f8de283d,527af237,3e80c4a4,dad34cf5)
+,S(ed9e8674,441620f5,990dcc24,23a2ab00,6fbca1b8,e6bb3d23,55c2c72f,ce29d866,64d5ed9b,b4289a2b,b81a12f3,30930dee,7c03dd71,1ec361a5,8297c22a,5806ad30)
+,S(86a36c57,e6b0cee0,33c00b25,66344ef3,219e57ee,ac452ea0,b0eeb98c,3176fb24,b4f4bdda,9e9b58df,4e103874,89592b5d,b147b43e,79a1af25,135e8db3,eafff739)
+,S(2e237784,45396ff3,a0e105ac,ba151e3d,fd02bf82,1de70e04,33792280,bccca913,f736539c,e77983f0,610464c4,3bbcc904,f43726dc,a336304f,c0b716c3,67148551)
+,S(ccd3c14c,7790d936,5226dbcf,11a0bc00,9db88a87,ac2d68c1,6899f980,20a1390f,b240b35f,bd6d5dd9,f33bac2a,f1899320,f8a9cba8,7df0a67,81cdfdd7,1c3af907)
+,S(7713be7f,988d7b1,c6c6566d,558978d,eba4efad,b82761b2,17bccd87,3637b018,8fb91a6f,a9d62baa,2eeef7c5,15fab341,c75f31e6,64ee7d94,70db34c2,74475781)
+,S(5485ad60,35dcb3b,9520acf5,6b0855cd,34c739ff,1c59798b,1ab667ba,a4982b02,1dec6c7b,1e7c14ca,743df62e,589311bf,57cbd455,e7dcbf9f,cd439962,96a90f0f)
+,S(a597503a,d3be484d,1d2d1cf,c4e8540c,411bd201,f2b05ed1,89c9a3dc,b0ee0f19,35113e7d,38001199,1e2cee66,4dbcf490,becbd6f0,765c94dc,e2855ee3,b01113cd)
+,S(ba91b251,abb130b1,57dd07a3,dbd2fd91,1ae24937,80c8046c,b94de57c,dd91ce4a,cfcc2080,500aedfb,a69f33f5,4f642fbb,8377420f,e1799dcf,e1dc3593,d3e1f6c)
+,S(adfb5a58,83cc7bd3,c6fd3386,95c86414,5c6d2f4a,603fb2e2,fb045bff,86d324a4,16574ed7,45d82dfd,c50415a1,8c30da91,3a525753,cc975722,22a5553f,7b0cdc5c)
+,S(1084914d,dd710a5c,ac854b14,10a4be35,ba1f13a4,e0fba3e2,9d94edcf,a3561ae8,653ca135,3240ef60,412ac6cd,adf8e664,2f2b74a3,5908c3ba,be6dcf85,49c25e99)
+,S(704aa271,9af38b14,17a8abe5,b881efe,81876a6a,f807833f,133cdcd1,6e6c6f7b,a6fee2b3,48c1180b,c48726c9,be2a1a41,11395af4,42ba7b92,63f4f66e,a3769e54)
+,S(46048cc1,7f5d2a86,5c1f5734,893c6683,fe68b0e8,942c9080,51d7b836,a8aec289,d85cec30,89a8f77d,75bf9c6,bb4f8a33,2e766834,3841b277,a461a079,8b288efd)
+,S(50f1e6be,315d3b21,636781ba,8598d2f9,7d04ccf,5ba1fc76,3d547657,77fce9e9,f7dcb7d6,2057b9f2,8cc24975,9dc9621f,25dd0ce1,47e00db7,d095fb0e,ee6b0b00)
+,S(7ed0a244,676655ad,10efa03,7748d49e,944df1f3,5bd46d0,3b7ffcd0,a63501c,a8377a65,593f227b,446eb266,936ae475,e9b3ae65,a60768d8,2690d0f0,5c18c21)
+,S(d039ca1,ee66c2cf,611c431d,cff1bd2e,19b29d3b,b1f37342,c29f4632,4febccc7,db0d0d82,14f4c661,629ff5e2,4cfdcc84,6e652ee1,15a6476e,7813104e,696d736f)
+,S(c27973a,cc55fe2f,4531768d,94cd4a0e,8e36729c,aad61579,7beed810,a7b092b7,cdc310ea,b36ab246,c56d5402,9b9e3314,878e1f1,ff7520db,43917a14,1f41c99)
+,S(36842942,cce3c683,25472e48,de202d15,ac14a180,3a2dd84,6de0c33c,6446e945,5000b3f8,19ab82fa,3589db9a,eed5609b,208d95fa,ddaebcb,57403b96,7b8f2f7)
+,S(d1aa195c,338621b5,19ff3a8c,55abb454,74865ef7,85e0fd7b,c4554ae,6d62d0e9,e7e1dd33,dc293859,b4634576,d8840630,832ce773,a9a8bc88,c2e67251,a7b737a8)
+,S(4f423d32,607439ec,366bd6ff,5766ec13,a59b2c2a,8cd008b0,489f267f,5c0f00f0,5e3c7e9d,7ee94c15,c048e6aa,272c888c,b6c3e058,4b4f4ee,f5e1d787,a4e7a9f4)
+,S(6bb1c680,ff8991ef,17c0859a,9b5fa9b8,ebcb9afa,af7398c5,9101bb99,7f06c4a,318da775,d912ae5,d17c242c,97615c5f,217005fd,535b839f,189ff3c9,8669a253)
+,S(14095d4,4713a46a,5fcb251c,9fbee2e6,bc393423,30303b8b,d0f2d09a,c0096f68,647e000b,3660b374,959e632f,6867c7fc,1c7aa4fb,b7f5593,22dcb2ba,e604a2b1)
+,S(12112bf0,346e9c6e,4a8f831f,6c087876,8943191a,38e9fb83,8b2613b0,4b5e5323,e4149ac2,cb4533d9,4c3abf62,aee4dab9,faf64065,89cfe10e,30a42986,9657a3d0)
+,S(f99360cc,c2ed4810,d80974eb,eaeb59fd,4f2197a7,8459729b,4f75c370,8bca5738,b92a2f5e,86d77a8a,c2c1b9f8,6e1971db,a06e4414,935020db,c0c83a92,ee6f1cb3)
+,S(2dee5a4e,c81a3ecc,4872112b,be53f51e,64ae779c,49488567,a654e806,ea809ca4,1e2ea8a1,df6d47c1,c0aa1bcf,ffcf260e,bdea4d63,934ff3b1,bcb1e1a4,c73d4954)
+,S(5baa6a2,139eeb78,f49638f7,b0dc5010,b73688d1,bbd746a5,f2382c7b,d461229,72677383,10a352f1,9f2a75cd,9e42509f,b08a0ca9,60154693,cc01d595,25dca81d)
+,S(a3f77eb9,321d44d6,b774a6f3,b1319e46,f60d102c,d96e983c,8f8568ba,82913d70,f93d75df,8271e70f,1aa38630,26bec1d0,f6db1765,77470077,d3fceb8e,5c613a05)
+,S(46ba66b5,fa1f9274,378fd62d,68ae9f38,8588d766,ebbe97db,72f9084d,c7f2cf08,5473e24,3078b8df,92df9b55,52ad5055,f44bf7e2,ecf0785b,72db5dd9,238897f9)
+,S(db6a0246,ddcf0260,b2b415b6,f551fad0,bccb15c,ca196af4,291d21ce,ce80dbf2,396cd446,f93e1c97,a56c6f6f,63cd0966,5f88856f,e75e1c7e,a985917f,28591d3c)
+,S(b82f8d1c,a7a298da,3992c4e5,8dba1b0b,38187eb8,66992e8c,5cc1c834,6e6c8fa1,4b0ae76a,f9b0413c,8d4fdbdd,db767c6a,b1b80589,533e3ee0,28eb6036,1483461)
+,S(446e96a4,dc9264af,e9cc6348,aa612861,d106fdd7,b7ff94a1,82e0f018,c485f000,32dfe3d9,21593a58,1fe23b7e,ccf677bd,2771c40c,a612a507,c8e33df0,99568440)
+,S(c86f10,7bfa6dcc,b9f00ca3,465049de,5c8a3e6c,d85bdfb8,1ada1d39,303a2eb9,e64f7066,7e910814,ae18c6a,7323474d,9dcb277e,4aaa7ed8,88bae4ae,7c34219d)
+,S(bed8eb6e,cda14299,e4cd94cc,202be7b8,9201c2ab,302a5cdb,83e5f5ba,db6cd710,15736cfa,b375a40c,5d367b9f,6692746d,16a1f03c,20941256,708489a5,5d411aac)
+,S(b3efa7f2,c5f6ad10,41f171b5,ad759480,665e0a52,de82a881,da1926e0,8f64d38f,3df63c84,32761a24,eb0dfa,ae98e034,b6dbd361,3fb53ff,c535fac8,ff1677e6)
+,S(b0460da0,cd869b5f,235213a8,49e143e1,8fa9afc1,651ee921,ebdc525d,2715cbd2,c11a3ead,f3541877,ce73b4c0,2b57b299,46b4725e,cf630eee,865bb121,b86fd7ee)
+,S(28b09517,a17452be,b2c19187,12d600d4,b4969253,a7d0d52a,49cec3ce,d73bc071,36696708,73c7591,11163518,40af594,40ffd6d0,690ddae7,fce7a43d,e920a326)
+,S(521becd8,192acb58,7ae76b7,c0bf17fa,ad86afc,47157753,6b1a51b0,fbb5f136,648a54c6,d7aff13e,cccf399e,15451682,ee06710e,edf32669,1dc7fe83,75ac858d)
+,S(b7bc19d0,b7fd9d65,26c9bca1,b587d84e,a2a200a7,76d39082,368b761f,79f6cf67,5adefabe,e0d0c8cf,4252c29a,773163b6,4a1e9ffe,ffbfe3ad,2f796e8d,1f70acae)
+,S(e48e3be5,1b6ca8d5,41f0c241,21558cec,66db7b6d,c13e7114,dc931f0d,397aea8b,dbcf6357,5b16e2f1,30f064bf,ff12b465,f6cb3a3e,f9f74431,4bf41e7e,e0f28ac)
+,S(395c6de,71c692a6,a3247596,8e28f2a5,4ec795b5,9759e890,9b2f4290,9f455751,ee5e0118,3c7dda2,c1eed4e1,5aca155f,b5b097e4,499bc3c3,fcfc2c85,a669a13d)
+,S(28938ac3,b1184399,22741291,9c0fec36,663da3aa,8a4e89a8,1a66052b,ca808d99,4ae8de7a,b1ebc1be,a2beadb1,80cb9a10,da168295,ba1ea5f8,310b986,4f174603)
+,S(5c0f618,95e88cf6,205472f2,3e27e853,be3af64f,d0a376f5,8523ee6b,5248f5a4,be5c3c55,cd09ebb3,b7363456,9fdb50fb,8473e3d8,3441e624,b41b1c3d,e44be51b)
+,S(abe1f7bf,22d0f733,ed28e125,f7ed05ba,ae2e8f13,1eba2ec0,1554dac,5e3ca1d7,2a5a48db,3de31f6a,9708ffe4,b996cb33,e553e6b5,95aeaffc,918aa2c4,1ab0ab4e)
+,S(c3042427,57d370b3,79124907,ea609129,5f1dbeec,442a6349,bccfd29c,e08d8be7,67a64eb3,3e0fda75,535b35e2,f8c9811d,528959c1,29e8f144,8bb75ce9,b1868934)
+,S(65a59946,356f219d,77af0b6a,9e1a43f7,3152746,6af41c21,c81532fe,3140f5b8,64e7128d,5d3e4fa0,518cf27f,c070da20,1692b059,3d84641f,2463a61c,74f35918)
+,S(6c7d2e3b,48428c87,46b066f2,bb99da10,60311cb7,d4dae19e,de2eb53f,141413e2,4ba47bf,c2e7c670,4de2864d,1ed7b383,286292fe,28f7c7ab,2a664bcb,6cb7e3a1)
+,S(dd257bd,b99c89c2,b47798a9,bc93ff57,5655797f,a45399cf,44acf58e,93fdcdd9,f8d670f2,a9207f25,52e7e0d7,14289103,e8194f81,6390e0cc,1af2ae36,c1b3e4af)
+,S(2516034e,b8ddc424,42952b8f,acd47c62,6827b87c,b08f263e,b2aab5e6,ecc23d7b,ad8e8879,f5feea07,ad3545bc,a731dd30,bd2ab534,4b486826,433c75a1,6216ac9e)
+,S(7e723054,27b591e3,b19834b3,8211edc1,7f075215,6591980b,907dce0a,d934246d,5c91fcbb,d8c184a6,f21671df,1098760b,2506bee8,e32474e3,3b080147,4e63a71f)
+,S(1b1f9d16,ac3c0d2a,4b87691,45a6f6bb,8d4fb57f,ef9df33e,72b5d399,6dd1898b,6442bf1e,5ffe450,b14a399e,16241a5a,15e94453,94519bd1,24d0a67,f35b4b1b)
+,S(e0f1fa4e,57cdea43,a3b9f671,596631c6,65b5144d,93c51a23,e9006c63,fc872f2b,c83851fb,54890d14,2f605617,151dd47,74f9a3de,cd27d864,a49c176,af32e564)
+,S(ae95bbb,697c820a,251a3667,b2a0a078,40efa027,99d7bd0b,3e9a12eb,32728c3a,e0dbba97,280096d,86ea4da9,45ae509d,1140e0dc,7b803f10,e685b148,6baebb41)
+,S(fc8ff885,d52ef42c,1fe529ea,853ff8c3,afad1ae,6e7f1b30,69e34076,682aed31,525eced4,b26e8f62,7b904f1b,3356d01a,9cced71,432ac850,433e0a64,b1e3dd14)
+,S(6613136a,459d625a,d5b5753,3a965a0c,ed68d63c,13652546,c629cab3,32c8e810,10f29ff8,24d30a94,b3d732b4,3b168bd2,28b4cb01,4012469b,93a9853b,655b65cb)
+,S(45085915,7b683327,c76309b3,96ef3b63,19dda841,f6be1b91,f24f5a37,ddea56f0,b9a71446,584a88e4,6a155e34,f08d5a6b,2b6ebbbf,b4b1aa12,bbc7654f,91956821)
+,S(168ee3bd,8f10ba0d,deb82576,cd5e1711,be58af4c,2274464f,e32f3f7,7c8a4325,6eef1e63,43ff409f,a916891c,982f8700,465fb184,5820b886,68b74202,6678b34c)
+,S(b3191d97,763c2341,4eb4db8d,eb2003e4,fdd86b4c,6077931b,71802714,ef048c04,b4ac3085,59f975ca,be7d53d8,3ebdd5c3,ce6860d6,37710a04,f885a83c,c2152edd)
+,S(da9d5c5b,4e73dc93,3c72acca,1e93f4bb,3ec477fc,f201096a,51ea0226,3a2f8738,7fb6a2da,65f966c3,689b93b0,d6366511,400c05d0,8b0a15b5,b4b3209,a812f8aa)
+,S(140e55d2,a7e75678,1791730f,c526470,8d1cfaa0,954e215c,1e65bcc,e4b0dd66,4bfba0d8,63ea2597,91e470d8,1ef36318,87e2d5e5,c897918b,ce805941,953d5b3)
+,S(15a9ccf6,4b95cc87,cee9bd01,bfe3d8bf,b438f7f8,66344a1c,f3f399eb,16b173d8,4f5472cd,bdebed25,605e51fb,f0b31a93,5d0ba59a,6e51bf90,e0363c8d,9bb33f3b)
+,S(e86e364b,6776701d,b7b3d3d8,fad181bc,c7ed5e91,2d0a888f,814caa3d,88af6e06,22fd460,afc040d,3e995518,c6286989,24a466d1,4a624915,f834c357,4dea7b92)
+,S(3c261a98,cd25f0db,2321134c,723ebce7,b1f81d3a,a6d5bddb,fc282fae,5a500eb6,2b8d2145,5e498211,8a4b6ed7,ec96a66c,4027a506,deaeecbc,45535fc5,77abd9c1)
+,S(49b6a811,4d55b517,6cbb1f6c,177aacfc,368c3b5d,238300b,d66546ed,f4c955c8,d1b124a4,9f0e7c1,6b8e001,7f1b0b2a,ab94411,391d5bca,5b535838,a3815b94)
+,S(6ec8e861,f0d3e5a5,3f9deab6,20cc4b81,6cee801f,f7a43f71,f34a8dac,c525f6b9,42e0545b,68ccafbd,3309c4f7,eb6b5eb1,1e01a871,c63fae27,782001ab,a6dcfd6a)
+,S(7342b341,59aca5cf,d305a2e2,a8f14da4,4b527e57,4640fe1a,c08898aa,4595b9ac,b5261302,d2442ee2,363969a8,4ea61281,27f64f40,ac86dac1,21b5d234,53160124)
+,S(842b30bd,54ef350b,65dcfc43,df26967c,b2747757,a609c54b,687d30b9,5a686fa9,4ffa9e92,2caa36b9,ecf31f63,f5c8de57,7d594f7c,71e7e77b,9cc5ac83,f336ead6)
+,S(2dba435d,d589a7c7,bc3fb60d,495757ef,7c13bb0a,3e91a153,9998e04c,19f94862,c440720e,a4b23cb9,d238eca1,6775e500,931d3e5c,7df853ed,55cd4889,5e8cc0a1)
+,S(9d1e8524,8f84ce5b,2a75a457,819390be,bb284fbd,3d035c07,998d3c45,c73bec02,8e40ee4c,c935ccac,2338bbc8,4a8063f3,6d62e8cf,849bff40,1298074c,94eb9ead)
+,S(d2735ac5,d1fba75b,d4f63912,11549755,9a7f8623,62e25cf4,e76562d2,d8b441af,bd2ac36,19f9f339,77b7cb0e,5b52f3e5,b4ade86d,1c9fb31d,a1d8fb36,7dafc081)
+,S(b0130e38,f46cff13,ad1a68d3,15729395,b27c2b96,e0a957cd,ca63adfe,b0a3e11a,3d9f697f,4a61401c,87eff844,3b11776a,610f1516,4366c1b5,535599a0,c6aa3c4)
+,S(e0aa062f,15306af8,b662d8f3,3b89de8b,f59faa78,29942caa,ed82e668,35ec76a7,c5f5f0b5,6ea77304,a5dffb8a,cac98387,34305b54,25fc6181,79a4457e,c15e6f2e)
+,S(ed1626c1,a8e6d1c9,187e15c4,ae9875ec,2156d685,997ac413,9f44bd0b,19432d5,3c0d895b,9dcb4a3f,4235e531,ee7373f7,7f0fad46,c5938d7e,69d50429,71f0c35d)
+,S(a2cccc31,4e18fdaf,8cc25aa6,74c974f8,664744db,86e04be8,431d2ed0,4dc92833,b6410e49,d6d471ee,d20e5536,8672f5e4,2e1b9c88,c06438a8,46c3a74f,c759d71c)
+,S(5bfc192f,db15f62c,4af19119,b2d96a88,b3b24e06,3d54b31f,a35f675b,f668bf27,46774374,acb4e140,90431bb3,9f62a38a,dbe0dc62,4021e23b,6099e198,47d99051)
+,S(66842a89,da73c404,32a2e553,97efb009,61eb2155,886ac90e,97dab5f0,9227028,3a8e83c3,511ea048,88d2dc9d,f1016cd9,da171bc6,89c9af4e,90b18091,21941de9)
+,S(ec823197,3ba95f98,d45f8991,3ee8b92b,e3a4a84d,d59342f7,1810766b,cdc516e8,532d3c79,f5113f4e,1973bc88,2a953b5d,77d5476d,ac9972ae,f1d25e19,ab7206fe)
+,S(3b65fe78,bc516176,aed5e5b6,5f3ed39f,e8e8e26c,32ab07ad,1ac2519f,72fc140b,856d36de,5190eb9c,13f7f976,466f95de,566a1fd7,314cec1b,9c9f7adf,98208d98)
+,S(3ac0eca,51c43525,e9e545ce,83fdd009,f9f31eb3,2722b945,18262036,d18cc346,dc72018b,c3b2a4cf,3244ef31,340e0944,325bebc8,b134de50,9ab3024a,a213a7e6)
+,S(4929658d,6c50ece6,edd2db7c,217d9be0,bcdac8b9,bb50972f,fbe53a04,2ee23508,e5aca42c,61aabbd4,b8555980,a2328741,6dfc8df8,d7a10c3a,7284bd90,aacec38a)
+,S(9d16e76f,4bc96492,f0e9e748,8c6d2297,7830e2ab,491a6278,1d60ab5b,153a6291,e6590f00,e4ac6922,5436318,9770aef5,5eaa988a,44e9711,da7266ec,895ac7ab)
+,S(b0649c4a,1327e7fa,f52a9bbe,7ff97add,4e13b36a,27c0676d,5e09b2b8,1f5df94d,991c8316,a6f36848,e072a080,77f75a8a,d79fdd08,1a606d12,b355c3c,3891acdd)
+,S(8f194a21,f6303ded,2c9ce51c,44a4a16b,eb39a8f6,5fe13c9,6b7c12bd,b052235d,bd1df3d0,c9af82e2,545afb23,e9a2dc85,c635172c,edfe70f1,bd755d26,9730739e)
+,S(1da71a97,cc7a4cd9,4777f6c3,dd5e665b,3872b721,c6c2262a,60e87f1d,efe21ff0,78d17a41,39036e1a,7af2b9af,1273afeb,a4d30e8,66a3e6e8,7f0d0468,4be6a06)
+,S(9fed363,e493f262,d3efabb1,c52291c7,e04e401b,b181290f,7a37af3c,df86aa45,130cc33e,e164adff,bedb1827,6a5c965f,53a54f36,90dfcd6c,b3fff836,703de729)
+,S(d166eccd,221c3568,199ebc38,fcbb6140,7a601a3a,c1e7a98f,ebb75a87,a7a1e49f,262222b7,e7c200bd,5dcec562,85485434,b0628c7c,ce5483c9,93795f76,a072f06e)
+,S(e7853cbd,3e3770c1,cc307839,294a2e8e,b998a56e,393435cc,2930920a,8ddbe0fd,7977e6ca,67147cc4,965d2918,1023c3bc,cff1e7b1,8fa4850b,80a140f6,980e5a8e)
+,S(a8b0feb1,cb140201,2bea3cd5,6b1a1f02,51036ce7,423f511,480f49c5,6227a17f,ccd7c3db,9d3ab6db,6cceedd6,d3801c8f,67afe792,c8977b5,27c9dcfa,75ba8a9f)
+,S(57ce5dd9,e1815755,31e90579,74f58b98,6d02e406,a846ab26,c9059f6c,56d617d7,cc34c090,4399f316,269598f8,aa8f9aed,829f61f2,5efc9bc4,e851ac63,fe142d14)
+,S(479790b6,4f60fc6d,befbbc1d,365ab3e4,8077b6c6,cbf02f2d,6c8b986f,d0f9c858,157f4982,e3581925,dd25382a,e3e48fa6,5cff911a,95e9bf43,5df8b356,87f2f9b)
+,S(55abc7b,1ffe0a41,2181b622,813be76c,8ee0a0ca,3cb37b1c,cb265087,fff17c68,bd134249,23e94c53,4cf9e603,a1dd259,606272bf,8283f2d6,69bedd4c,a971d99f)
+,S(6ca7e032,8bf5d67a,b804d431,e5f709e,bd3156e0,1d4511da,1dc67394,24d2e659,c428b133,f3683909,6551c2ff,2f870d80,d80aaaf4,6d2b1a69,7722057,5eca2647)
+,S(60df19a9,83e9086c,4cbd20ba,fbafa8b2,346ae4ee,9c1ad4dd,99959e91,2df530d3,dae7b854,29f817a0,421c2f1e,e4e8e4d,a09d60f8,84701e31,d7a8b7b0,3b79cc48)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 512
+,S(6f18d50e,5ef5f2ad,bad80ea1,c59a3847,5c22ff05,6ba52c7,e1d26d6d,d3686bce,d1d7ea0f,a166efd0,facf5c83,bc3786e0,d3f3405d,5b4578f5,13a336ad,f0d7d7a9)
+,S(b634dc9d,5ed51336,4ac9569a,8ddee9d9,fcdfe00e,65e59233,b3be8a07,2fd949e0,d72e46e2,c61b2575,f25a505c,bdc3456e,fdf18976,6562a1a7,e86d036,eb31db69)
+,S(5a37fcf0,2dba24f3,e6646171,43dbc5ab,40d91983,69f5cf0e,4fc566fd,97445910,a960d1d8,13f8746c,662a9582,614c7847,33e6153d,2975cb59,c3342463,75c69d1e)
+,S(8aaf16a7,37318032,c60201b6,b196d8fd,eeeb8f8f,1aab29e1,1b83ae1b,f112661c,c461ef56,66a3a4a7,563cc0c2,845f2ae7,6d03a795,987c615d,611bab48,ab9a8e44)
+,S(456f0ba5,a05f15ef,d93e7f49,e0729c45,1d85a693,42c2804d,9cd4b8ae,af5e3434,a680f4a9,99221a8b,7f46da13,13041e16,13f616bd,84b9135b,b0f7ecb2,7311cad5)
+,S(f89c36a1,f1905409,75f146d9,31e12cb9,4bfdc90f,a178970a,9d0b34cb,38f5c741,3b562c80,58e31b92,a1186615,9c1ffa3b,4b1df38c,eb4a1646,579d2375,9c44099b)
+,S(7f6beb11,2e1d8600,d8c4903,1d69cfb4,e23876e6,32f30428,9d2c2503,41f3f76a,a1937407,c0925afc,be994b9b,51627b98,8d98ed6,e8cf6fb9,cddd0ec,a4ff4a9b)
+,S(905ad0aa,b585c7c3,78b7130b,ad1d5001,1010f543,194f40d3,827dc606,12d73511,bfce0701,c3ddcd38,150130ae,e91d16d4,a447821f,a2e098aa,b83b8025,b7177a9)
+,S(f559c2d1,62122fca,7201e7a3,b6033d1,e54187f4,7550b2ae,f1d51521,f7408b6c,3f10d622,dfd0eb14,7f6f04dc,43108273,7695ea42,38ced7f2,5dc167ad,34154481)
+,S(19b328a4,fa17149c,ccae5830,a8bedf53,7c0d8a0c,c3616345,6f4d91d0,718ce8b4,9a1ce80a,2a4e6923,69925883,8e786779,fdff7f09,25d68855,12644d04,9e582f64)
+,S(afab98a0,e75619bc,ebcabc24,c1a6a0bf,2743d4f4,921fe53,3a393648,adad5d4a,bf1b3a87,759139a5,79741c09,21f29a10,7c8e5be3,13d75715,7dfd39be,923a32db)
+,S(c2cabf7c,1d86a34d,addb36d9,c83a8ec9,b2dfe0ee,8176d085,cca91fd8,ee4181c7,5b32b724,53f1335c,724465bd,6eceb8f5,159ab150,e9c972ac,f51d27aa,4d91070f)
+,S(92839424,8e847452,29a8c534,7c14355e,4f6e9cfa,2c1a2be4,f5ad6cfc,2a89f593,bb9c585d,fd41ee06,99ca7b4a,146faf68,51983b15,d652e996,c888a171,7c8c3a07)
+,S(bca2853c,389ef184,208cba64,617bd7ad,55e55f12,d0c9fb4a,a8dc30d0,c73c7dfa,9f41289e,f32aeded,3d45952b,16a62fba,fe9a142e,1e65340,17588d79,e1df63a2)
+,S(a4ea7bda,94b565a8,ebf53aea,5ce672c5,5745b7bd,37ca77e4,a0e4f281,71bf56fd,c9507485,1405ea90,9b9e1a28,42c5953e,629eef31,37bb0fb0,970cce6a,893e96bc)
+,S(71707d45,af71139e,d7327ced,89a2403,da57c18a,8527bb1f,f754e78c,60d5e169,24b36484,fe4da6f3,a3f4e4a8,55a477dd,3eef0f39,fd3c585f,1b9de9d7,10223ef9)
+,S(52c1de03,296f591,9d5cf4d2,36b8ff51,5b1f5ff6,d73228c0,7dda706e,4fdf9a05,db958d59,d73d574,384066e4,fda3b785,c9509714,90607c51,35d1d34d,5a344d0e)
+,S(7b09c0b0,7852e845,30691989,cbccbb87,74dc2007,df827120,d8b1ea62,2368912f,4edf5717,ffc52817,d0eebeeb,782ba4d,9545a5c,da979f3b,e9c09e84,f82bd263)
+,S(e99870ce,b29ad1a8,2bc08834,3e3b3c03,f26e7062,66b32540,681c689d,ffb8300a,8080ad92,78947d65,bcc12dbc,614d17a8,8ff75e3d,91230fad,c6f785a8,cd597f9f)
+,S(c7e2326d,e28b8139,85db4cb9,c3d4c5ee,2dd2c2bd,2b912444,adc3a434,205c38e7,5f2863f9,cdc0cc95,1fb87000,e177cf05,d31adf8c,543d899d,195bf5e1,c6ad940e)
+,S(883596c8,4ca7bd78,3c586bfd,28fba489,4c6bb66b,5ea52244,1199b55d,3e3f7965,fb114be8,59255f10,c96d6d4a,72945ac9,47a22f5b,68ecfac6,9406bce2,58e9282e)
+,S(7f73a648,a19640f5,b0f029dd,37e56e7f,5cf61659,5e532dcf,7ffeb7e3,f20b42cc,4f76248a,f931aedf,b4e2df3e,ba3b426d,8ef191b,9d59507f,4a94ffa8,80ff4feb)
+,S(c89ee34a,3660d03a,ce3b5604,1196a66,18c8739a,8a4795bd,db9c382a,9741aa3d,a4a3b888,35fbac57,f2f79ac9,d0ef292f,6838764,b99de084,684d1b95,12923884)
+,S(24be4c56,d7dc0c4e,50050cf4,31d81f19,b5c46889,430563fd,566c4ed3,d941d5bc,e07236e2,4936315d,5f0714a2,af1ad769,f6a5fc7,a56fc1cb,ac09a085,f29e6213)
+,S(6c31e71e,caa91c00,798ee5c5,3237a9f2,2866a91d,26936852,c4eb9853,e40b94f5,65aff323,2b5f2cd1,c1117e0a,c30b94e9,34543cd9,480f7922,5723c385,9ccf8cd7)
+,S(506c373c,8479693d,3e03c022,9b61839f,e470a574,d31fa286,92601ed7,8e58b7e7,4fd0bfd3,a57c5035,268bd4ae,707fee83,e24f8676,e0ffe3ca,1673faca,1b7ab65)
+,S(59d9a5f3,ea1a6cc6,16e7b097,871f731c,57571a09,1dc01b45,b48c5332,c98349a4,94ad373e,ee6496c3,263c348f,a7ee539,53aadf13,1aa6b638,21c16e0d,55fc8447)
+,S(a524cfab,65371648,f641912f,a6ce67d5,c6f8929d,366448d6,4de381b3,22d75c69,14c26ff9,87fbd599,17a6ae90,bbe7c79a,ac1b6158,c3f46144,71aa36a9,45782823)
+,S(126c986d,f83c6307,87c0d3ac,6a6b2393,8aa3fdd4,df26e76a,92af2c65,7f48c550,808539d3,a56a6f8f,3bcf04dd,31ac72e0,3f74ab1d,5e9afd39,7741656b,3d4c5c5c)
+,S(32cabbc0,1aebcfb2,7e1a9d5b,4cd05550,d8ff25d7,b9a81db7,3188474a,ce39722,7d30120a,e08031c4,12c070f,6ee6b52a,be191021,faa9f5bb,9576feb1,8fbccee9)
+,S(3fde1cba,f7ded6f8,a98975ab,ad5a64aa,8a9f0864,16dc25da,359e1cf8,22f42c64,e50fcac,61f0f174,b0e93cae,691212cc,44ffeda1,60dcff91,9ee3c960,2f5ac075)
+,S(9cad22ca,d6c3dfbc,1d3a08d,6b102727,36e9db37,1ee1f26b,3ce932c7,11462e24,5ae84f1d,873dcd04,7f0781cb,aabbb53,422bb119,4e59d5a6,8824db95,50461c6b)
+,S(9859020,aa807626,3a8ca18e,91c1afad,c20cf9f,9249c24e,1c652d19,7d5872ef,454323fd,21ab7d6e,470976f7,2d85fa39,a084e7eb,b332edd6,a3d054b8,d3c73e69)
+,S(821699a3,e7cbcbd5,a2b093b6,c825281c,ac00bc53,c44b33a9,d8c31b9e,464eb2b6,f7d59c17,2400cb9b,72b44cbc,bbbd3e9f,e62cf451,bce6f840,23b073ab,66a9726a)
+,S(bd06d4be,36423862,795fc7a5,5c48ceb8,440b3cc3,fc286dad,74ea7f6d,8cd370d9,3b09193a,fdcec88,ca4a5663,2cbb808f,61bb1253,fbcd1714,accd508,6183b90e)
+,S(2c7112e7,9c8cc78d,f04a4ed0,e043c6ca,bb4b734d,9177f822,5bc41123,4bbdf4d2,c81ccfad,d42e2248,7612884a,d900f61e,bae242ef,65ff1afd,6e03ec42,38391243)
+,S(51ae390f,a65d772c,833cbb8c,9ddf9ceb,b7f5236e,f1983905,762b7aaf,e122131e,3d7c9f80,80406b06,282f2a88,87dbb714,f1e96e1,e84eaec8,1256e1a8,ed7ba06e)
+,S(c59de112,de237a43,2bcb8348,e3b31356,c7432672,6b9167a1,77d826e4,dacc59ea,36109f16,7c5eb66d,9f09c1d9,c5e1676c,aa33e403,a8e052b0,2854c689,d5903b25)
+,S(8b99f23a,b7509d9b,151cb89a,45753026,77ca1e6,9219f0f7,57d01823,f556d978,86a31aad,f53afe44,f533cf0e,4bcd573c,d338e12f,904c8e9a,dc8e0080,f56a4164)
+,S(4c670f65,7d6fa9bd,9ee4135a,1ef1882e,61f5fb7c,9deea717,39fe0ab9,78369dd5,531a8226,5d4b5363,12875dc1,7f891d1,b54e0435,1b539dd3,c100b797,efe65417)
+,S(8e967e35,9daa0f95,fd7024e6,e57f0640,36aed9dc,9df0f33d,9388cedd,e0f38548,36f8055b,a59afaa5,8c88b833,ba110381,45fa0ab1,f0160d2f,1f1a1765,190d218f)
+,S(3f611915,9c45a37d,5c7bfaa,cf0cc959,5e2e097c,8c7bc3e,c82e9e33,3b2ac9e1,c80134a,b7437dc5,23e08757,8eeada53,b9d2f3ee,25b754fa,f6c32e02,d597d7d6)
+,S(3f59e49d,7c61412b,53fb203a,c7ebdedf,66bba683,87070745,9f85000c,f47641d9,bedd7088,4243dfe3,d238f101,f5dcd4e,64cd0978,986d50f2,ae3e2563,a43ad5b0)
+,S(5b7d84c9,b64836a4,3bc44b5b,fcf170e9,ad46d4da,197a2781,bbbcaf87,5bf6d490,9f55b29c,c7d6b0ff,facb8975,507df04b,f2164e5b,9928156a,7c73fec2,b34d984f)
+,S(e1ee74ae,ac3e83c,f73bf1f9,aafc3eab,90decf0d,a071aa88,962c29ea,51744b1c,9e86d2f8,b34e8525,568d674,8839839d,eefbe15b,80c66216,50acc508,f1277030)
+,S(fa1ccd5b,8d489448,e3196c22,e96ca7ed,eba721ac,beee200e,5ddc496b,6beea871,e2b7f59a,326a6654,9d6479a8,a7a56d7e,8513504b,fd2a9829,d25e5855,2f9bc469)
+,S(ef1e1cd7,f386096,1f6199d1,ab4a63ac,b292316b,f7a5e7a0,4c9f0c3a,7bfdc8bf,4cef9c01,a9de111d,8395dadc,e411e532,5783d377,559dc687,eeb510c2,ba98ef05)
+,S(db714eb9,3e75d3ba,dfa5cc4e,d4813db2,fe9c395,95a1ee8e,9b3e468a,e1326120,3dc49a86,b81278f4,84d30311,c8816840,fa3cb701,665c067f,618295aa,6a71a206)
+,S(5997f38d,bd572858,43ccf936,ee9d3feb,d70c79c7,9ad1c452,29af32fe,e6ea5d5a,adf7d862,b716011b,b9749e08,965c1ddf,1f44b678,df548eec,45a69a56,97e4a224)
+,S(97d6f6d9,a920577,7b08ae66,6fc1fc7a,956654bd,3bc6c039,ea4eec3d,3bbaeb92,b450dc47,ff219854,dad5ab97,13dfbbf7,ce03fedf,4e7ffc68,4bdf1b5c,c20068b9)
+,S(4f453fcd,5ec8b72b,69549ae3,c4eef99c,40232bca,1d6b10ab,c4b00d00,5ad307c4,aaded568,c4a8bc87,c7a442ba,f960d9e8,bd61f15e,d668f816,b94c0d2,9683f7f)
+,S(5a604a3,50593035,c71c0a6a,caa7946c,ae4c4490,c0db71e6,49972705,949424d6,e578fc12,6d8701a7,a02b92b9,3fa89d09,ae82779e,2f78586a,8937a6f4,133be9c8)
+,S(3f3071a2,916832fa,1b64cf0d,5b5fe8ee,2de601c9,34e08498,5d118696,7c635b3,e915b199,baeb233,b22adb6f,69df0e43,8712f25c,1be4470d,53851e4,451ad3a3)
+,S(745bc1cd,643189ac,fcf02c5f,bf99c222,f7476a6c,2ede6c45,31849491,901c06e5,59a2bb4a,8703775d,e9a519bd,10e59db4,be16cb41,d0275d21,87291d06,d29933f0)
+,S(bbd06e8c,adb3959d,853591a6,6387989,ab396736,8a6c1942,17580911,2637238e,ae0d8296,b484e5f3,dc46cb88,90b86a4,d562b003,a65a0c2a,2b4eded,38b8b690)
+,S(fcda8db6,128dbe66,850b7e43,63a3b35e,9f3eb569,b7af97a3,85e53fd4,922cf07c,4bf3ddfc,37a0f9a8,5f758ee1,4c4d5c86,cd11f1e8,2a05ff28,3a0f535f,f9551974)
+,S(6325dfdf,fc9c7ded,2a65e113,27210ccb,4ed2da97,4eded570,5ca1add9,9873cce2,89fe4c99,683e6fc7,170ada7e,26179fea,7ce1930f,af1a7358,4d7d56d3,4cf222e1)
+,S(77594ca6,93495096,3ab5797a,5279d0a7,513df59b,41a3ad59,245e3f29,22ee0d7f,195eb112,2ccfbfc8,fdeddf45,ef2ef58f,631df03b,ca66a4a9,5818dd83,e5faabb2)
+,S(f356ec67,ea9b242f,4f1348fd,c6592772,e2defd7e,308427b,ede15452,baa67867,3d2265b9,e23f8ea4,9a2b7145,9c98b03f,d75a2110,8f104121,e4a2fb4c,d633ba7a)
+,S(3360ae12,9b0fa48e,c78e3091,4f8ae6f9,86149f0b,590a12ff,cadfdd2e,f8a205c9,79b37bf2,720d5a11,3ec09872,22b0a626,3d7a2051,e337cb83,dcb52df7,25d18a34)
+,S(44e90f52,c703c50d,b331a4c5,fc47613f,b29040ab,9ff0f282,3fc15ad3,f9e8727b,62dfb341,92653e6f,636d013a,718932f6,95c2491e,26d16feb,4009ec05,e2f55f17)
+,S(e5d367a9,b5c3ae22,31195876,4b28fe35,c9e04289,518aa09e,e7902b5e,4ec84047,ea1b257f,1abf0fa,6fb37c06,907052e7,fbbc06b4,c2382ace,9c9a98bc,e6f8bcf0)
+,S(8478e8fd,7910e5ad,3c061e6d,422806a5,559baab,e083b8de,1005413b,59a63957,4f793418,5193499,13fe38c4,514bd4bf,2f3f1ebd,b492fd5c,fd8c1bc3,1a2df1d6)
+,S(c38327c8,587731b,f5b5e224,79c9274,10c97dff,f6855b6d,c2ccf761,2a84b42d,eb03afac,cb1b102e,7e87d61f,5012ce74,a213fefa,b855db22,bc657d52,4dabfcd6)
+,S(b9e8a812,5348a672,558f48c9,d17f28a2,4662b4b6,604ee14c,d622b521,bc51f10a,35c2780d,65fcd07b,51ea0224,1771b523,3813e7bb,97a1744c,e3dad732,ef1ccfee)
+,S(a54aa2d5,95cfa325,38d2e483,70ba86af,d3c3b53d,2141b0fd,cc68a729,a5cc713e,bf74dc6e,63c02b2e,e676b9c8,6a851a48,7e9552b9,a32eabaf,4e1faa06,8bb8a159)
+,S(d45fec3c,e2df54eb,844ad145,fb8884ac,420ce2ad,85cd55ea,4cc19e1f,da9fd956,ed8cfb00,65aecb6a,6901dbf9,b8c208d4,bf6be1e7,ee74a08d,205c48bf,8cb81bd6)
+,S(f4b44e98,f728b318,ca959829,d4cd836c,5c0136ab,8e433101,87be24ad,53192172,ef5521b3,960bce49,2c841fd8,8cf7b8dd,2febdd8b,f0aa64e8,4d3c2a09,89ea9fa1)
+,S(dec6d1bf,d349110,faa0cd40,e8533078,dcec40c6,e260b9e2,8412d424,353d67e3,73a16f81,3609c901,71efe44f,32ffc90f,9451b0b3,24107b72,54ca2fba,65095895)
+,S(1fbcdd53,72e17c41,9310b9c0,2273534d,265f1c24,bc1a6039,238b5b7a,b3ff013e,9cf4ff4a,6a61c11,20c4d14b,97275547,b2358f75,8a2a774f,22bc77f2,4c6c27ca)
+,S(d9cef0cb,38c6ed7,7aed53f4,93a31daa,50ea1ff9,aa43b890,357012fb,e2ab593b,32a416fe,246872d5,b68e6654,7f19dda5,e161cd13,ed041486,4d0c2dd,3653303f)
+,S(1641b549,88e22a18,45e2135f,88d2386,4e2f607c,ce33fcce,de174a60,1ff03da3,edd3f0d9,ed718767,3664e1b9,540f816d,48e3ffd1,cfad86fb,5b68dfbd,7d94922f)
+,S(99ef6c16,3c5d9ffb,1b638b21,1ef60166,37938f83,ac4ef76f,96c5366c,3a243cdd,6b6eef62,d819581d,e1dd7796,df043e02,7f912bbe,6ba1e499,a311769e,d6f66b48)
+,S(49358d2d,c24c2e8b,80ff79b0,9c53645e,b9c47fb2,8ea4ffe4,e2f4679f,5b5bc97c,512a14a7,f9df40eb,ef7c1cbf,f8e1caf7,b8c80748,7bee3865,37837cae,dc1cf5b4)
+,S(e31d3fcf,b1dedfe9,2549c5e1,a14cf383,c8c122a5,a430aee8,a4eec846,7ceb206b,7bc3c266,69db747b,a3ad1dd,e83464f9,effc4dad,b4de7687,e6c3ae56,a5b0449b)
+,S(a82ec9d6,ac86bcad,fbb32e66,a28d7483,ad1fbb7f,979a15d4,4e324ce1,86c64adf,bac87d2b,c28b1ae5,f4ab46f1,ac779936,3a9efad0,b1e1f81,6c4ec6d3,cf74c89)
+,S(21650994,2bffa2e2,479ab82b,18cd3aba,dc370c3,18c71c08,1bfb53d4,c8ea113d,97a8246a,2f653450,be513b6f,62419f90,f84511be,9a5f3103,feca77c9,c81fcae3)
+,S(735050d8,208d9688,7fdf8070,e448e905,e4e666c6,3db5857f,63ceb362,c6dd4b84,2e3fb438,563661c9,e6fe23f0,7c8219ac,216887cb,ad307918,90001f9e,2ab9e2e9)
+,S(1d021861,e679dc08,a34c3813,bb9c3e9b,65f87800,79dc08ba,197b3b66,47afe506,14b6d0b9,2303483d,9e92cd0,e295bf08,4a10e84c,ee0b7c50,ceaa6ba7,a6fd2f1f)
+,S(7a7eee74,86ca8973,a858c15d,54eff96f,f91c5577,4985433c,1bdc4f4e,46d7810b,5e83a07f,5d9150e7,a7f5057d,87d19ccf,448fed1b,bc1e2297,c7012cbb,77b498cf)
+,S(811c3d4,fe0a3061,47c05cce,32a32ada,48593802,32f24b51,f50e726d,a702beec,a6fcc16c,6c9cf4f9,2e84214e,35ad8577,b28e599d,31ed74ef,c95eb2bc,833d9f0a)
+,S(2ca14438,89ea9e8f,24d5b1e,e44b26d3,ca25ed08,30ae950b,4357da49,21ad606c,7b48a6c6,92d8a29f,a82c656,f8e6213,c5e90be3,7413d86f,42e10e63,1026c551)
+,S(a980ffe1,61041afc,339566d2,957e6624,5dd3e0a5,deee9c80,d57b1f1f,390277bf,3276f7a2,a139343b,87744079,7a174d99,457d5005,71ce47fd,10e41456,7a1c64c)
+,S(e570a3d9,cbccb74f,c582954a,998d9371,fde41d98,e65de6bc,9579d6ea,d9cd80bd,5a749177,6658398e,99d3035,12c168bd,9400bc6b,c7dea2df,2739abe4,16973a52)
+,S(f5fbaab8,952cf50e,66d3d985,d9280bad,71bd25fb,662358c9,72b954c3,7bce1110,1aca2123,6179f821,a4f097c9,b48a744f,8010818d,3ac6cf,b02f57f3,1fd77175)
+,S(2e5942fb,ecbda8ac,15408d25,84ab7c75,6f9e525e,c4dbf375,5559dea1,718d89be,95106507,d14199a7,8f123d6c,f6b59262,30e12a1a,8c0ca016,40c556fb,14bc790b)
+,S(92bd04a9,891c99e9,6c9e7f64,a9bab705,a9fc83f,a739413e,a2f33001,b55dd296,cf5e3733,659bfd9c,e5417ba6,817b6a0f,5cc71c34,22165fbf,13019fad,822ba587)
+,S(30ddfd9f,a50feae1,e3cc5426,93ddcd62,4d0e52b0,867248ff,ed7d3041,a7b11083,ff15d0fe,2bb183ef,a18389e3,df4269ca,21bdfa0f,87ac641b,14bdaf66,26eb42ed)
+,S(8cf5150b,df8ac68a,af319688,245719e4,67ddddb,72fa7f1c,baf39de7,252a9f4f,4c28497b,a299bb19,83b18bc2,508c98d8,2a9963ab,4145807a,2130fc05,4186cfd5)
+,S(1f4b4efd,50974efb,3caed9f7,4f6dd979,4a8e3c09,8decc1b8,69032885,265e46c7,6c4b04c7,f7c6b00d,c38adeb8,a47c7c0a,68535229,26500a76,ee1c6feb,179fd399)
+,S(9d524900,979afa33,8d5883ba,d13d038c,3f915cb9,f2e29a2,2a028b18,d091af81,409a113c,37c732d,1104453d,6b161d33,db3257c7,b9a73e1,e0f1679e,6802be38)
+,S(52e1e4e4,46eed9d0,fd5c124c,1c23403c,5b03984c,f3fb0734,c627f34b,dda2e3a1,674a5731,7375ffa8,c3c4104f,12c1713a,e2dbc630,75a77e5b,26243217,88320a7)
+,S(827b171a,8eef4e31,e6ca8b6e,7c6e36fa,e0a6c93,a77d7148,fd22f7a8,16401c8b,65cd85fd,d9b801cf,7de6d14c,b78ba114,1d58c7fa,129f9f08,8275f364,f7ca7540)
+,S(124f45e9,61d89642,6a1abc32,e582e246,3db29954,1bea0383,c83f917b,6cdf2f9b,734e2fe4,110b65b1,2d60626f,c6288f87,e48e7a7d,213a4f83,58bb4d67,978d6c62)
+,S(3b71298,18b2b324,10e4f002,899204c4,fb4ac9d6,c08d1169,5f5f5699,9a4d67e2,28b6f78b,cee16b5,5c010c51,ec465609,54ba6368,a18ae218,5607c1fb,42c27c3b)
+,S(d271d87e,63b5363,e664485,ea6ae70e,e2b887a1,c7f7e0a4,290033b5,512d8a00,65d43804,7865e280,273122ba,8d8644d0,60ef5927,34971c9b,510238eb,9d6da847)
+,S(1d1c6d85,2db35160,67cd2d82,e2ba552c,c5ca0c9,ae7bd661,e8494b25,cdc03a7,bc31f4c5,673a0256,ee9b6840,7aeea035,e19f874c,bdd7aebb,ae8b1005,4e691f62)
+,S(8fee89b4,71e394c0,ddad274c,ba07de4,bf8d2ecc,695647fb,1d3756fd,46efdd9d,5d5ed0c3,8479578f,d17ae148,7198f9cf,4ba5cf71,46a9b4c4,34ca62f1,bd2b8c6c)
+,S(681fcf09,55a0f351,6026302c,ce3ee475,8ef9385f,908dace5,5d7fbd30,8810a6ec,4307f75b,99927624,80187edb,c4c6575c,aa54e8f4,190f0885,e6d358ca,2a38faa)
+,S(717fd6dd,fcb5a71b,6a584a28,904cd3e2,6f6c1a89,7fc32918,90792937,b3a6971b,b403f829,71d4ad04,dfc40553,27f6da8e,1b05e25d,341d6511,d7cd859f,58b17992)
+,S(f2b95723,94eb9786,dc1f4998,6ad8c340,d2983279,c7323a34,227013e3,754f2ff6,b553d381,3efdcd41,7189645d,d9917b73,bb69e705,e7a6520d,dbaa497e,7766763b)
+,S(58714be6,d7d86c89,65309b52,414135c1,9ab6fed0,1d56d7b1,4237485d,96730b1b,c011f34,3e38ce5b,deab84ab,f0e31537,4039845c,5fa4fcf8,1c9a4d5e,6fe3e533)
+,S(d33ce5ab,c828f8c1,b9700d49,e9c6b4fa,b30819fb,b2bea23b,7f915bc0,7a6ff3c3,739b6222,39134988,22372ba6,3fbe22f1,ef59394f,37db956f,caca4c11,75a23395)
+,S(82202e32,fc7d0128,4eba58ff,42f7d94a,24904808,d6f920d5,9837b26d,63b55479,fde63954,50aa55e4,fcc4fb0a,8ac2c880,63aa3202,9a00004d,edd033b6,2563b4c8)
+,S(25e63218,5bfb4c88,fa300e37,c8b64a,941e6487,a34262b7,419fa7c,2dea7781,ae696b07,4802ab99,4df2d84c,c6731d7e,9caa124,548c2a11,42ddcdbe,f716e640)
+,S(e0336a05,b9254e1a,f2468a36,343a0dff,9da8773a,1efdc487,53c1a95b,605c114e,41d75960,377ada38,79b97455,346266c5,5ba05915,9ddad050,d96d9d8b,afb12a18)
+,S(843363af,7fd2b1bd,1c9a9253,e42489c1,34ee875a,db57b752,62d731aa,9a996662,e5c0a2d1,dbfcf013,ed4bda36,f153a328,12c4b3b1,66e48473,4d2d3562,ffcde6ca)
+,S(adb210b8,1cdb7f18,f97955cf,fa7e5763,abb9f202,9d283c05,26df6332,951178de,2c211f05,d8182aa6,d784721,948afa11,364db5ec,2e1becf0,68eb91a5,74ea0e35)
+,S(ab0c5fa1,a2fe2235,ee93854f,59a13792,2034604e,5857b6e0,88b65142,f24d7491,e54725cb,e36d6e15,71ca7384,7383553,b9dc48cd,eca6932b,8d92f785,b80124d2)
+,S(3e5de77a,1d2163e4,3f3124b0,af4f5473,868a080b,67acd835,f9cbc88d,7885deda,a6ed34a4,2f9503b8,b83e66b8,377f514a,e1927dc4,c37ef6d2,254e651d,15746630)
+,S(60c68b3d,31d1d326,5b71f068,8f32f671,32184815,f83a9ceb,50eaef6,4991ec05,977acc61,9f7d24c8,a95aecbe,987737a5,89886729,500ed32a,9d760fca,7c00d498)
+,S(21b052e9,b646e595,b6c04a76,a66b9b25,4a126729,6bea0654,64fc5b31,69c135e2,1029e4cd,2fb3d717,6e87292c,4b0dfd7f,18db6ed4,59aa9285,38f0989c,540779e7)
+,S(700caf3,7c664515,ee501e66,60be4cca,f58bb2ef,5b11f79d,c027dba3,7b523d68,7df76b88,f1c346f3,2e32487c,19957830,8eac9b7e,56edc948,e1a934c7,6fa08be1)
+,S(c5ab9bd2,1293844a,ce5f1c9f,56458315,5d34aeaf,565a5696,29969664,49541e8d,2d2081c6,c61d6c8a,a0df4467,8ec53a7e,9b34d90c,57db2f29,c0361304,1c422d8)
+,S(8afc3f2e,d53f5dc1,448d15af,8c2151d8,5713fbdd,5d46a3df,a4ad376a,16d75a3,11f6393,2627bed9,e015a99d,42193e6b,6767c513,f3457897,64db1a4e,4b9b6c8f)
+,S(414ad9c6,bb55eadf,cf4cf729,27ae3682,c0d69867,ede9f4d8,6e173c50,3a5007a7,c4bcd0f8,f4de9b1d,1102306b,667a546d,dafb6f82,edbdffd6,181dd3a0,8f603585)
+,S(8211e240,b84b7317,a9c5ec88,fdc426d1,a163a2d3,aaf088fd,b2317247,cb04a1e3,ca76a59b,b268bf51,4f06c4f6,d5961b33,a74f10b1,70a9e9be,4e7942ad,26722bbb)
+,S(a54dfd32,363add3c,75ec4452,3094b27a,3f7cd291,43ee52f4,29e59daf,22ba700e,f160822c,59510098,3e38d130,49b44865,3639ac74,6a93ebbb,2798d92e,bad4490b)
+,S(77d64c55,52b29b18,a7aee1a8,1e1e9d3f,e2921a43,cfbd95e9,a3ba7cb9,498860f7,e97bb8f9,5ea9c8f4,440ad9d7,36d9a06a,fed03a9,cc96597,8d06f2e7,8208ff10)
+,S(485b3814,b33e6bf1,1f47f0f5,f0e5a189,1b57c103,60f13d61,ba7947e1,6e309ca9,e6bb7870,ce607c62,a6050dd0,946c8653,f998576f,2c781b5f,15282632,4e38bdb)
+,S(ed2381ec,a90a78c2,def618be,1b6edc51,7ced2ac8,14aee9aa,b0a7068f,72739c,cb0873e0,ba326452,380c291e,c635381e,d6859916,2ca10fbc,3de45ffb,134954c7)
+,S(e444af79,d36bc127,c83c7369,a4cba0fe,955b6a66,8f2e7a68,4a65e57c,44ed971d,a7876f03,27b6823a,aaf55ca1,6a48998a,ec50e5de,10d34e9,dd7c554f,d3785fff)
+,S(af8c34d7,7de75a2d,5f64296c,152fea4f,b8677b8a,96cb278c,7ed7e50,69fc1fca,48ce5862,ab6ec1a8,ce55899f,24632be2,f3c451cb,8b81ca8c,f9ecc3b2,2984d673)
+,S(e999d466,243a44ed,18e745a8,1da04a31,8940c88,760480cb,e315436c,f67efe13,f41e8e70,63a84661,c22ac0e7,5cdedbd0,ef55d3eb,7fa813cb,2f7d1fb0,237fe36)
+,S(c40ef8aa,7d8964ff,a3cc923a,2fdebec,72cafaa,58b72d66,e209b644,604bcc72,480e35b5,6549a1e6,f112c3b6,176f3378,ff50ebc7,b3efac2f,696f0627,b7238ce5)
+,S(482ee41d,e3f9499c,8992b546,e209aa5d,679e4b8a,22a26615,1bd1b0f3,9a52982f,510e6070,d2131815,2d52eff0,ee10ec6f,563f92ec,a0e549f8,32efee81,dcd3de3d)
+,S(4660a468,25a3c1d6,67003c69,4d36f8b7,6df7ca32,c6029fd4,65dcf726,5c58fae5,3d982bf5,46b5c296,988acc72,2dade97,791de8e0,150397c0,700bfa10,ba23f618)
+,S(b85e624c,92ba6f0b,3fb1dc03,37589994,d8a3aee1,76314d87,3c8bef0,eb5d8f8d,88936b33,20a55ba4,24bff93e,fb36ef77,e2cdff26,866cd486,88c61868,ad75679b)
+,S(a41920b5,361a26bf,bd187eba,b62fd5b3,b3be282f,94ef94c6,b1698754,902683e3,7790a196,29d93b4d,3d27201b,32053e02,c95a8f9f,260647d1,491c7a4a,e15ea98a)
+,S(93882da9,79262a60,3252f01b,bf101d89,ed1abf8b,15507937,55979f4,fbb7f86e,938884d,f0a716ef,137450b,ad5f022e,23e570f1,3ed37e02,15a40910,189d7e44)
+,S(a10509f8,3efeda60,acf56b64,3709b197,ebfa6a59,e66efb06,79c23225,c8952e00,759083d5,559bde4d,9a37df5,24cae4f8,5a06e7a4,7c0e15fe,830f0677,c24d1ddb)
+,S(2b945a97,6ea74278,73d7e587,dfe75eaf,c55de704,8aa26d29,4b3b1ef9,2beb3651,423c07ed,27ccbf6b,9d1cbabc,e00b451b,cb488d10,e5daf752,6980ef65,6893c65)
+,S(86f9d9bb,c1a0bfe4,e03da0,13f17017,f6951691,28d51073,b594457b,fcc37f0,f370c624,2e303796,9339cd4b,fbc19e8f,62388f02,649247ed,df3c6c67,464c32bb)
+,S(f8995af9,555e044e,6238d895,8bdb4e13,3aa9cc0f,90a9206c,16d0f83,dd61ed91,b2d4d2e3,1bee12c8,3b8bdab8,34fa2e63,1febdb93,4af194bc,d0825921,4ea8a060)
+,S(ab55a27f,69eb352d,455eee7f,bbc1c74,fdea2621,63d09dbe,2f554417,819394ce,8ac56493,60f585b5,72373bc1,74a930e2,4d54674a,89789353,4a166200,e31b801a)
+,S(4fc106c9,c428df98,916a8906,95e98353,ce84723f,fadae522,e8a89916,a23b9fa6,90d732e8,3d54341e,4f4c88be,3392687d,fdebbc4a,7c19afd1,92531688,9eb92031)
+,S(c9c85980,8831cccb,77d87b25,73a894e3,874080db,ba076b2,4626bc82,3149a91,9fad4ccd,8c0949f9,be9a6355,f0bdfa36,c5f99268,780566e6,a6f302e3,b2abf0b8)
+,S(c0cb5b7e,2293abba,5ff78c46,aa1422fd,a278eb5c,ddd58cb7,aee77149,1c5209e7,8101f42e,36648586,5db6b572,d0df4ca3,cc72789e,ed8d27d5,1330d733,4e10c47b)
+,S(dbfc03c5,16d93f83,472ab60c,391bdd69,af2f70ce,fbce15d,140f1590,d8ce0b63,f838e14d,7228ca2e,9a33ecfe,c376aa4e,4811fa24,debc7b46,4658c153,fed26564)
+,S(de260685,eea13ff1,1571d891,35607b0,435140b9,62e3baf3,7cc3f3d3,484f59c8,6bc23ec9,a6025865,e6363335,bb66f1e6,c1f5f54c,aa5f8acc,d7f8fae5,99cfbbcc)
+,S(58d78d60,b8cb8fdb,1b62f79,f6c17ebb,1ed8129f,c7819e5f,6f73c58b,faa2e71e,7cbbe4f2,fd6bc671,8c222f5e,16391133,b04d6d3d,bb263531,40aa4053,b44bccc1)
+,S(e72b9b1a,eed54fe5,ab0869aa,90014e3b,fde1af12,f646d738,211ebefe,2c00a490,cd92d14d,8f595833,842af020,a2cc82a0,d9465969,77d25d34,8cff3273,90af4fc2)
+,S(6a86bae,d55a5be1,8b7cef97,c9dff8a8,b725f614,2221485b,3b9f348d,570fd658,138a2691,4c3b3015,10312140,7709fa87,60a14f14,571a9d40,81c06d67,ef2c5724)
+,S(1ca08cf6,7240f244,d6cb0059,564fc283,b17c39e1,b624716e,e100aee,bb0a1fc5,22e24fce,655d09ec,34a36317,c66adf07,deec2743,4e9c016a,b3447b3f,d9ef0a55)
+,S(d95dc128,feba49c4,73e1ee30,bcddf76e,b7cf628a,fd495607,f558201,824a0b0f,d5340ab8,fea3e137,d1061274,c69b68e3,633e98ba,ae2fe116,1612c4d6,c7c7e8a1)
+,S(2cccd22a,7f4fd501,6c3a14e4,769a88bb,ae7e288b,d9987afc,f3c073f8,ccd83857,ae82663c,aea89fdb,4710f849,ff8e4fb8,c2a7b614,4edb5f3b,f2564dd,73b389e)
+,S(ec17b5f6,c8e4de23,937bc003,7dd7b411,ae4a9ac8,1f2801d1,c5eebeb0,95628a43,b3e0d51d,fd5815b0,631fa298,968fe70f,74319620,f0798734,8e66e6e9,6658df83)
+,S(a63aaf7e,62907f4e,1a613cdd,ccf1cc98,cee8e12c,8bace3ca,95685889,6c96b6f4,2f953ebc,dc5f9973,e9d44ab1,23255a21,f8bc1a7d,e800cdee,ef754031,aee8216e)
+,S(8eb4ff30,318d8d0d,6b45636c,b296d137,90e345af,19a14b2c,550e0169,87ad32f3,4b8e238b,ae7ffc7e,7d600151,c5ebb776,cc01d51,827f171,8f28af77,ca4a3e3)
+,S(ab1420af,bb5b4397,f578a6e5,74a63aec,2432fa8c,b4712341,4374add9,8276b8d2,faf6328e,a197e927,65b9df90,a79558b,8f264acd,7f75b574,90ce657f,64b94396)
+,S(daa1890e,6b2ba1aa,dcc16f1c,c1d5999d,5102aa6b,348ffb5e,9630bd1a,886f680a,19facb69,5a63eb94,cb6f6005,cf2bbd23,8744f05c,2c220510,94bf6dfa,352fa209)
+,S(f199f52e,5398d1b4,899a1b0e,df8ebb73,cb08a642,bd22ff2e,b1cf647,7f2a28e3,3619abab,a5e2131d,4ccf8747,67ef9b75,2d5278ac,5549bd9e,5c1b5985,9ec2f454)
+,S(182a9e93,a5f9ecf3,6bf20bc1,497a4a35,e75c86f5,9c9fc046,e2752223,f046ad6a,c6095e88,c39dee18,ca867693,d85617c7,e0924dca,34af07a5,c731e488,ffb8bcfd)
+,S(8a4cb53,636fe66,b660a701,64277fb2,5ac21eae,906327c,3b509954,b214abbb,693e5851,4cc6a941,23ee707f,ad25d638,8efcb85c,25500bbf,63fd6926,a1d0ed1c)
+,S(4901335a,3b40c33e,115e3105,82c55972,f495178c,813bd8d4,2b208916,5c8c1282,47007176,429d740d,dcac70eb,9e1f0e94,f26a9a0e,4dde0166,24d9d801,c84214e3)
+,S(8180e5a7,7c34362b,461b49e1,4b9f2e05,df64f55d,cad82b8f,cdf41232,984e01dd,34cf5621,d4b9f100,aa34b0fd,5ac91d,cb3fb49c,130f3e65,de742ac,af05040b)
+,S(8f71227e,fea9f4a8,9dcaeee3,58eaa5d5,a90e1d7c,b7d232a4,b1085fe1,3651ee9f,a4da15bc,bb2b79a0,a27c344f,3b914c7f,e272676a,bc045aae,e90daf4e,9655ad73)
+,S(dbeb9b74,cdc9bacb,83592a2,a3cc19a6,d1ea8eaa,5a086a3c,cc68d423,cfb58264,be668792,83f07fb5,830732eb,79e16bbc,18e86df9,b659e2d4,5b1009a3,40576161)
+,S(f328e93f,a7f52cac,3c7b09b6,280528dd,7d9ea4df,8317a958,ab0a617d,71591933,41ce8c59,811f9e90,61dc3f3a,7d85d394,2f780c17,d7ebca60,fc042311,f2405547)
+,S(56d4f403,416b1bec,49c5f44c,2021c245,d4ca4181,5131cb7d,8fb0cf08,30fea051,cc5f6133,948f77be,934cb637,3d5dce8c,51ae1a92,e3d802a8,d35a3ad8,50bd39ce)
+,S(8e22e04b,8bb476b7,ccebecf2,a327fd41,dd90c9fa,67cfc49,e9cf4ebc,39022b8,1f8fa60,3204696d,34d03c02,31d3ef58,934e7992,c2c81d6d,3e4193b3,8286b8b)
+,S(341b22e4,b9a77c68,f93624dc,1cfefade,b396eb72,bf9fce1a,51867d7a,ef064f6,95839f87,7bc36957,59562bcf,dbcb2db,af11ed72,7d329e27,cfc8ff8b,92d9441a)
+,S(3ea42e93,9f234112,879e8680,94fb8a8c,e6af9799,c000b050,45eb2026,3b324763,44324167,6f5aa6f0,4fe4d51f,fecfa8fd,60a5c0a3,38b16f59,1866bd51,2e01a623)
+,S(afe7b44c,ef10514e,f94faa1b,b8cde91c,23d8a660,a71c3173,42f927bf,535d625b,7617a788,51218772,bcd51f18,54b063ee,6cfcdd77,7a388427,51cacfc8,7c8b4b65)
+,S(a360ca02,abb40d4c,6e0ac725,f2c035d1,12f69ee3,ff0e1dda,37a3fbe6,a2034d2b,161e7178,3fec3ea0,305d0f72,3a60846f,9d8bbe79,255a3814,fab83269,916b646d)
+,S(10484e5f,f7d9fe7d,9b65d989,9b2ecdf7,5984d18c,1199f61e,c914a85b,78011b88,12d1c0e2,1e137357,9ede1086,c2c1449f,e7f4e03d,78f7b184,4f744d6f,9576cdc9)
+,S(76c2dce1,5dad9ddc,24276c40,eda7de6a,b11245e6,5b051ba6,7eec39c6,d256b138,d9a601ce,585b0839,92e3fca2,a43739a3,61a8967d,3eb0f605,ed4cef15,fc64ce82)
+,S(671a31d4,c3e6ed98,b044fcb1,83dc60c7,d1d83988,3a547356,27b99b75,11d4d2e1,6fdd8d15,2005ef3f,7ef3762f,bf43a849,281f185e,a52c1b3b,8ad371b,e053088)
+,S(91d0f565,a2da6903,12b72998,57f71c18,c2343a5b,a6f17243,1bee12b6,6e898a37,9d6a55b9,1956a288,d56906a1,1f7cddd,e6393ad6,7249147a,41eb209d,7f32f681)
+,S(7e59f058,1953a2c3,cbd4d0cd,8f4df7b8,6b90d8de,7240b2d4,de9ee9ab,628512ba,33b0d1eb,74cc7d60,ef419b0a,f9f03714,35a012fe,328fbdbd,9d9b69bb,9a42a173)
+,S(ef78b65e,b791bed,212652ad,ab1f32ff,f43a285b,e040380d,d3492afe,1f788a26,9f3e2538,96d5afc2,3ea7ab1b,24ffac00,f156cdef,93957910,abb1cd1b,6508d306)
+,S(78b978d0,199833ee,417ce2f5,fc12cb01,cb0c0e4c,ee752e1f,50a8cdf9,b56b7cd3,9f9c7dd7,372606bb,e3170141,31591f5d,dd631f91,71460cd0,19709478,c1560dd9)
+,S(5f785b31,f9945a20,e992f5e8,80abab72,906ffdfa,7ba7ccef,f1b3d26d,70bfe64a,a3cc480e,b3cb386a,ffa1988d,3227911d,57522413,e5d0846e,a6d0a17,2b881c1c)
+,S(9fee7999,7cbb492f,cf3aadfa,44484d71,2c3887d,6375c887,fcee9fe5,7806b3d1,43114327,7e94c760,1fbef25a,60e7d448,c0f0b8f0,c6c64437,a129d4ac,fe24c22e)
+,S(12f2dd5d,b75d8885,7b7befd7,cdbd7c76,c0f46213,f9a53102,acd8b0c,4ee3f30b,ce27598b,e85049e,9ad3ecfa,d3864070,f8510570,742dd021,6dcb4aa5,334097d8)
+,S(c694aeb4,3ee2b51c,3f0e2bef,bc1b718e,fbb86f9f,1d2a84d5,3178325d,cf997bd7,41481f3e,b6a69311,2cac3e5c,c85a6f83,6fc5190e,ae71f226,bdc887a8,ed050977)
+,S(fe266a46,14c5c05c,baf3493f,5af3befa,9bd16100,860bab1,49ad78ca,81047ae9,e2e18ebe,c44694d4,b7c614ad,a772a5c4,f58ca087,4957f20b,741b954,18471e6b)
+,S(7975e1dc,926b07c,487abfa5,8c183f21,daff04e7,f67a7250,d2152699,356118dd,c984b97,44e2b300,ca54b779,da94dae5,f943468d,9b9729d8,21cfc709,351409e5)
+,S(93573cdb,50183589,a0909e8e,6186d700,7022848e,b7fd6951,a137cf16,a18a2b06,7a957c66,3047f6ae,d9490039,d136cace,caae2d8a,fc9f50f0,26590e62,18bf47d5)
+,S(c0bd2e1e,a60f6feb,8e0ac7dd,485fc4fe,6771d80e,e29b4829,fa37faf8,81d77660,685b74fd,9edde1c7,69076267,d9f247e8,2effc83f,e25af065,56aff25b,335bacd)
+,S(56bac0e1,93192207,906e5f45,d55d5919,b676852b,daa43253,8c4c6984,9c24bf3e,e3bf51d3,9856b812,d2e480bb,c8b118e5,f5c0ae9,f8d09096,a5d207ec,2fc18ebf)
+,S(53b41b13,fe7cddd2,ebfec7c4,a985fded,5225fa0a,b93dfc65,2314d1e5,9142c06c,90fcba57,44e4f565,5d2e038d,ccd2bdff,cb4ecf20,48f2ba98,8f62fe9b,c3b69c4b)
+,S(bda05e31,ccc0edb9,47ebaa26,9182ca2c,b1136400,674ce5f5,d55fcf2a,c2e765bb,97275979,31236982,a7459356,7308ea97,2fff08da,ae8f707b,447dc6ba,7acf75e8)
+,S(48dd1c6a,8a900820,1fe09f19,a8f65f82,91196e95,1c57189b,21aede15,4b0413d8,79a1f6fb,1a943dca,6517e287,80e72f85,c5a6150d,9c50d7af,78c8b63a,c09b98f5)
+,S(75406269,e28c428c,8eeff4e2,ce9a2d48,2be8346f,3446451c,13c04380,292f1f2c,4743b097,211c807e,23cd13d7,692efc44,202c44cd,dde5a89f,9e7cdc5a,133e996a)
+,S(1aa55d93,bf318133,8840ae4d,24314ffc,74420002,4ddab165,4018604a,2192ee5f,babac354,92d59e8a,656ac7e9,9b6cb2cd,7a6a8e88,1361118f,41e38f1,2cbc3bfc)
+,S(75be4c50,db7bc629,e64fa850,3d89f722,34d214f4,9b176fba,b937120c,477dcf03,b5520bba,8c606db2,833d934,3c860c6b,ed2e5e2a,41a6c3fb,51154c82,94b6f819)
+,S(f3604822,e4ed8b2d,d4b2486,b611b95b,6508e10a,1c725c7d,8d638254,3cef6c8c,f405ac79,7404bc6a,25a1a412,f2cbd698,75d99d2c,b23ac105,f9839446,222dc0f5)
+,S(6c9216e6,6f9326be,fad5f727,ae0326b1,da54ee91,f041d2bf,2d87dff0,e77cefe8,64a021b9,bc1947c8,df546f92,2f5230df,1ec2f372,50651704,557377fb,39d16517)
+,S(ae479bbd,ce97732d,df313861,76807678,988346e2,5b12bb09,e74d474d,6905668a,a3ce0355,c5996087,89936336,64d9bdd2,b33a6f97,ea3f28b3,f4b7c0ac,92612929)
+,S(ce92c179,66f74db2,1c6abcf8,36cfd2f7,9ccc05a7,aaaf74ff,4807052d,754898be,f3e3d3f3,530f38c4,ca59cec9,c8e3456b,8adebf80,3f10927c,e44e79ca,601bb978)
+,S(8a0bbeb6,815275c1,77553d87,5988c4dd,a96f5ae2,378a3b9f,477cf162,6e6ea68d,958b795e,46f45412,acaa9f77,85a4e34,a7c74eac,228476d6,4e917983,5fe77f4e)
+,S(c2a44ee9,975400e2,912a033c,5ed1e7a,7f0e97a7,1c86e8d0,c2e5136,8dd9ccfe,956435ef,7d24a507,dbfb69b2,93b51369,70cd17b8,ebf6bc60,596a9545,3675668f)
+,S(b615f625,534ddf61,47b78520,85443bcd,3d3bbe91,c815dc29,3cc891c7,199ea1e1,4cabf4f1,99e21468,62a90876,4f65c624,fe3afd1c,6b399e12,267dc1e7,6ec3ea25)
+,S(afccaf8d,fdcf272a,cf56dde9,3980bee7,b64a0c54,f80830b5,5fd0b93b,e8a75a0e,8d8ec5d,6f6fc44f,89f6d9ba,735861af,e7d6a660,7d88e95,54f2c141,1042a63e)
+,S(534176a8,c5311b26,1f39395d,f78300b,559d072a,cb3873ac,32833c8a,9b135f53,ab84f84b,5eeea7b4,87ef6639,8fa756fa,b16155d,683ef643,b03c7e6c,8ab2f436)
+,S(5f7aa173,97ef95cd,f47651ac,6220f3f2,8705abbc,6531b93e,a65fcd14,1b91f34c,72f7d898,3cddb34f,2ed1b28f,17a77d8e,70cffcbb,e0462ab8,b7548561,9881da22)
+,S(d4fb4a4c,c1e2fb72,b301db19,335afd7a,b6a95258,6903f449,aa287fc,ac8f3d3b,76b572e8,4a9db287,19d098cd,5dee787e,f213adf7,9ae90306,8881894,e14154f9)
+,S(3dc67563,843b2f3a,f793116c,23db0dd0,dad0975c,5abbf569,4c6d454c,9f7a9ff4,ddf65b9e,4db83b7f,43d0ccf8,49a8088,4894b277,4fb39fbf,78076a60,356753ae)
+,S(657912bd,1edd014d,1386c449,50cd1667,9c3e415d,b36e36b1,3bb5c82c,a2f897d6,4e2fdfdb,11bbe240,8fc7fb3a,acd06c69,78205e48,c9f5a143,4300927e,fed505cf)
+,S(5a453b3,5f82585c,f64473e5,f3fe937,6f412b5f,c4ade7b8,f9081717,3fd69f99,fc169e11,3448b590,4e1dbf06,f4aba1a3,ec2fb4b5,7f2b4c4f,a29b6617,58097ebe)
+,S(c3adf45a,c24b4bc8,69acfaf1,f96a3043,d01c68b2,f4ff689,93b37b3,a4052679,3d923207,cd374b49,d3a85bea,972b8d09,4f0d4b83,cedc97d7,edc2ac68,10ae19cc)
+,S(1a32edc8,905ddc84,2756420b,e1f25daf,5bd84f0f,acb046b6,e9040fe9,5e1e1d56,7f467d9d,113a77f8,c1cb73ad,16a62f4f,f1612c80,f8cf859c,ca42164,68eb4c51)
+,S(70957d98,62e5977a,c328b7da,2e51024a,f925c142,eb1a46b7,b4a3bf20,a74d6c98,269b56c6,2e42cc34,a0951348,881d2c53,7d7ee231,f2327ec1,441fd273,bef09381)
+,S(7e69416,5a02b16c,107ae454,b6cdf25,bf6dd256,d976ab44,bd7edc84,837537a7,ffb874db,38360c11,e2d0d2ce,3e47363,a6aac21d,78a37b24,3e66826b,445185f5)
+,S(4f81a159,7b42e9b5,24be7ac6,ff4405d8,3b9d8a75,e37b58b6,eed5525,6ddf9678,b2531207,18676065,ad8ffbe1,6d27df4c,3558eed7,992538b3,77cb8497,86e0a78c)
+,S(fa250368,577065af,b60be8d,e9381334,9be6fdd6,1bdd02d9,3591a35d,294fd547,f0b991e3,96c77cbf,5d642f0d,cf5ee10b,3b0a1fa7,7b696f06,d4d61cd4,48e81625)
+,S(f4df5ebd,67162bfc,3e3da517,23fec6d8,6b61d6c4,a5876c4d,440f025a,272ba3d4,b23ba279,8bc75fb2,d590e384,c9e375ce,6380dc5b,90970d44,674e32a1,8052212b)
+,S(ab5b6b1d,b3725b65,fae28e5c,44460d6c,51b8971a,655541c,4a587076,a1ac5015,16d2c457,ecdc1718,3a9d7876,d785adf0,424f72b8,d08b6a9e,286ea5cb,26ee2ece)
+,S(a8a4ec7e,13db5370,40680dcc,470d38a4,2e08d99,3c30f981,ac877ce0,28869e55,4a9ded9c,2cdfee53,897d0874,965878a4,754025d5,babb07bb,2d248151,cb7f60a4)
+,S(337f54f6,33bd60db,583d08,165c1011,6f914dd9,e2abcfaa,5f1b1410,b8245f48,9453eb28,696afc4a,40b5452b,d3abae4c,679b58e5,408b0a94,ea456771,8176dbfc)
+,S(eee337ab,dc2baaf1,544c767,41a5054c,f6db480d,529d20e4,33b642b5,fd901b53,65ad5b88,2cc00d4,a4ba1d8b,a6956f88,825616cd,5f6c9830,87264247,869c27be)
+,S(59f52e18,57cb000a,ec1aaf0c,b43f1274,f56e477c,50f010b8,4513fcef,752f1548,d8ca8f6e,8db03b19,8047006b,a6ec1e29,4f225461,9978ce70,a1ae0f53,9e1698be)
+,S(6c200a0c,25fadb2a,8a9618d9,d7d86287,8583ab10,f2b4915e,8f5a5f05,406f3e12,14d4984e,374cf35c,145af24d,a5c0d0f8,504649d,b1793a61,7d6ed949,ef8081f8)
+,S(1654a2fd,51dfb6f8,71aad878,239b657a,f8144ff8,98a3c2a0,32cffbc3,8aac07fa,8b6965c3,82d98569,b6cdcc1d,4c71705c,e36d46c5,fa5df714,8d59043d,161a839c)
+,S(c48033c9,ab473556,c9982f33,953f96d6,7b3ed1c0,7e98efae,8de232f7,67556d77,af3f48a8,7bc43168,10787382,8dcffaad,abe4a54,828b02b6,f897ab4b,ed968bac)
+,S(5dd977fa,a9d228d5,1885aaea,557f7a98,1a95771f,212c3ba,f1a4e428,3c3c6032,3bff9d4a,ba178f6c,d2ce5204,3daa06f2,abb06acd,274beb45,49e72a37,8f2eb656)
+,S(2a76dc25,dd9a96c4,bcff1d8a,f3c9aaeb,261e4c69,a5d832ab,efefdf29,ce42a564,493452f2,3ad5cae7,de8c972a,af5c3883,7ff82aa,df616c5b,2fcab4c6,d5244806)
+,S(cdbd3506,4c0e7923,822bab4d,b4662b2a,fd3935a9,a49e6d6f,f2db8f4b,d29a4b8d,b2126f2e,b61e274f,a688a84c,386fdb5f,58b84515,1543f143,a8ce0a3c,557a90ce)
+,S(983f249b,2cb9d4f6,34d82d6c,e713aff9,2bcfd525,a4146a75,bf6f725d,2b54d978,79cd2406,850be02d,a6c4d25f,5a02dabe,af302e77,238833ef,cff0484,8a8abca2)
+,S(88c765b4,a5a0a9f3,a257e21e,ffb23e51,9e128489,fade1383,96fdc18c,38afd4f4,f4d5fe64,729995a3,e505cc03,1d144682,e3336ae3,45c28697,1cf89b7d,595f46c2)
+,S(197505ec,d603cb0a,199c7d08,b88d0e63,1d147d07,45603692,6b67a582,b7d52c31,947ec13b,f2d75fc5,af5a746,15a75aec,2f212adf,a234e08f,49a561e4,f9057f15)
+,S(98184232,e10f605f,58a700c3,d6bc04d,9a19790f,eb638fec,668320b6,3b2eaaf8,ef3076ed,c0e2fa39,30ea837e,36c31f59,dbbdf192,ab18bd7f,39578e1c,eff9c85b)
+,S(50f0db35,cba0134b,790f47a9,e322670e,f0c7d081,6869a764,892f8e23,6c0bc002,1c1b1c13,d98a84ea,e77260f6,58e265d8,9e466b44,b8604edd,83233fcb,68396072)
+,S(d9e340ea,1a44bb50,ae4bb19f,3f4228f4,99ac8516,cd6bfa86,80c1dc31,d5665502,128a1688,335a2193,ff805251,b83baee9,341445ad,25048f75,355f4b35,5b4aaad8)
+,S(15aa8133,1b84ddd,8c706702,555dc19,d42cb4a9,a9474c9,1e33c0f8,e87c539c,79530720,96586400,ebdd2ba1,7762ccbb,2a14bf47,45f63b1d,e22c6a6d,8942dbc1)
+,S(6f708704,53d19a4d,b910d169,c7c7be23,d489dd18,23604242,55e182f8,7a5d34d2,e0531956,7c1c2bf4,a0a9beab,d7c4dbb9,c15246fd,5a6de101,35578aa9,99c7dde2)
+,S(31e920df,cddca3a4,89ad97e9,168854f7,867f9a58,fe2d3f1b,f33f8dc3,c7167674,52712c3d,b0c6e58,15157660,ebe27dd,244a9c5f,b12cb8af,dbe82900,c3706f39)
+,S(93300e11,708ff01d,96f81fbc,f1888c96,8258dec2,86a315ab,8d01f2da,4c8d51d8,15368647,3b6a208c,8449b53,66584e4c,9e0b7636,1256df46,4c93d4a0,e26c33ff)
+,S(8f7ad50b,f62d6702,616cfdf,3712c1ca,30c94632,720797dc,ecd54f65,cfacb3db,5ac10a32,7dc52bc,33290080,a1a194c8,1eff0d71,65f9d34,7e4f8b44,8443c637)
+,S(6ed80b82,76270d71,c468f5d7,350c608a,7f5cf51d,c8efbdd7,4458a487,2989f4a9,bcba2bf7,38f6e77b,465e47b7,c687c7e1,77fd3cf2,163b5a2,e00923d0,89826dc0)
+,S(ec6c1d7d,b94989e2,962cb85f,777eada2,7c2b11b2,86949e38,eea2bb4b,7ce3714c,add9f9af,6042dfdb,1d4089d0,ebca5755,8ef2664d,52fce516,df3b030e,9ed08fdd)
+,S(8f77cb2c,24dcc192,593a82d3,510859b9,c59bca8e,9546735c,1fe26084,4a37f093,51674986,fbf499fa,70b55bd4,f0a70cb8,423fdebd,587e6213,83199b3c,4fe07202)
+,S(e2addf74,dae831af,aa4c4ed6,2f4a32dd,1122f2d6,243d049f,1fd78c1d,64b6aca,7dbcb394,1eadfb0b,8a56022,4da66128,a73a1aa0,20a5b23c,cf58118f,e28b2297)
+,S(bf7af1bc,614d31c9,9afb7c6d,b8cd45b3,3a22b151,34ba872d,3e845da3,2b1e3eb,108d39e7,8cf88a22,fba9e255,23267bd5,2b850464,f1277239,7542ec2c,50125a21)
+,S(88ffc7f,cec6580,5b92c5f6,952d82cc,35b4f068,a7581987,93ebc59,8efe50e4,382dacca,94b42c3e,ba1558c7,82394564,d39193c9,8b9e8cf4,a63dc4da,4d378a4c)
+,S(b114a384,ef4ae60,b9c569ae,636eab27,9070e207,34cf83b7,a28353d4,7d3a152b,37c7673c,e58ee20a,6076438c,9bbe5cbf,bb826076,6d8a7001,b188c477,cca3fa70)
+,S(e411a42f,e20d23b6,fa768fa1,e310192c,cfb0cd2b,1914c9da,627db3a8,c7e801b0,feb1b79b,43ee7980,7252bbc1,728af29a,8f6828ae,8aec480b,91c85008,959b1039)
+,S(191f687e,46432313,c085182a,ede5e7c4,31057ad7,f1f48fd7,cb814fcd,74ee1999,5464b42b,3f77ce2d,59a39efb,83808cd8,43e5c540,3d5081e6,e4f4b1e,926dbc72)
+,S(63ff4977,33b0a49e,f618c4ff,1aef537,9837744c,85a19bf0,b2208eb9,506bcd81,6ccaef97,ca835931,f3a87b50,a93f2a4,39535d8c,87e26090,3ae49b29,30593d3b)
+,S(efe36425,c37705ba,69e7056c,2e8c628,f4ce72a4,68d85556,4c57e5ad,b7fc2c1c,392b9b5f,27ac49c5,831a5f52,c2e55bb2,8faa7f12,521732d0,8dd910c0,51970ad5)
+,S(6d2126b,dd7cc08d,1bd41910,21704a1e,841d4737,4e5a0a99,9880051d,f77e94a5,2e9b823a,cda1be97,52f72ce6,ead42127,efb4d4b0,8daf55f5,5da6f956,84e6e806)
+,S(cf7b9ff4,297d9c5b,91c6340d,c1cca93c,6d453ac9,86b4ef54,b20df6a5,4933743,8a57808a,2c07002b,111efec2,bf751b54,c20613c4,1e3612ca,83baa3f,eb670c15)
+,S(b160242b,4cbe5ee1,d1dba4e8,e2d55a0,27f5a5bf,f7c023f2,c1524fe6,5f7e83e,ac35795,6cf31260,7ee9f54,fb39d3e,4f1faaf4,67d09567,6075b8c6,3c0fb5a0)
+,S(7a86452c,4f8918d9,86d3dce0,22619a72,1744d9c6,dfd0e733,c02cdaa5,6abb050e,30d30b1c,b558b0e0,fbaa1fb3,596cf454,542370fa,43d8a85a,91eb6bc5,c90de179)
+,S(a279bc1a,64d206ef,ea96d3a,b97c6770,af41ba40,9381d372,408052ff,582323b9,aefc853d,701ebc44,679a7ab1,fe033182,e96199d3,4b58261d,a1b4a6bc,6ce42046)
+,S(e8e28570,5c16016b,608c301a,ac59f868,f7691886,261eb01a,d4e6ec6,a9e5cc76,92350315,f8e78051,b703b7a,49427272,c988ea66,27699eb8,f2fb3eac,9f0a983d)
+,S(1fd9cef8,14f3fc81,8055f300,a734f9cc,46da1585,b939be73,459e0ce1,8a9f2bbd,dcc4f73f,a50fcc8e,6ec3c71b,c045f020,c26d79a9,794a25cd,26488c0d,9cabb55e)
+,S(321b1afc,70275fd6,fd48942,df364f6f,c609d4b6,cf4e574d,39f1ad06,927e5f11,1368ecef,808bb311,ae9ad36f,8a4c81fb,725a80f8,ed029680,c5b54463,80add33d)
+,S(4dff29fb,6518e393,dad0cad9,b0dec257,f9ef1e9c,c50cd741,8108c42e,f6d7bf72,4159786e,5aa4e82,4d7bfd06,713ec8f6,d92f8f8b,48304efd,e4d0f4c2,30dfb70c)
+,S(937a84a5,eb63055c,65b162e1,1a3f2e54,c839b972,95a8c1b9,274373f7,5ced1e0b,a03078bb,bf11a351,da7fb3b5,2e3e7a2d,62c122b1,a9cf9954,53294f37,7966afc6)
+,S(be3faa9b,7cab73b8,4fb2a87d,25db7fc5,56f07393,b3177c7a,56df0447,e96cc3d2,e7051ee0,1ad794af,571dacc4,4e91f7f6,9276446a,7e348ee1,2998968,afaf77f)
+,S(58b39c6b,cc36d506,765d24da,6058d7dd,36928d13,b0fbe1f8,c680df15,756c9b41,449e9691,aaa846d9,a7412b77,73f7ae6f,b4ecd99e,c57863d,ad72d3f0,423d74ff)
+,S(9b18a971,b1660b46,720e2100,865742c,8c91282b,1c72c7b2,8192bdc9,c3765798,2812e522,98adf83d,2cc07a93,4a065016,2be28d37,59cfd50,6c792e31,32e0f49f)
+,S(a6c44c03,dbacd4bd,7a35e207,61778826,c86740c5,c92942d7,f73a1b3e,dec0f59e,73316b7c,d1fa3410,76b73727,8aaf39c6,2258d29e,c40c80e0,797493cc,7056077f)
+,S(1ffb2755,628ff8d5,d837495b,94ad78a0,5dde2043,bbfa3aaa,21a05a3a,21682ee3,4a0478f7,6b8b6c,ffd9962d,f70e2a83,a71243ad,c690efec,5f95aff8,dbb5943b)
+,S(aea4c48e,36051144,482538a8,8ee5f72,b67a21e7,8fb425c,3d6f1e78,419b8283,4517cab8,c28eb397,bd89d216,ce711332,82c7b530,6b64499b,2216bba9,41a80b27)
+,S(ddc59bfa,5f8c0270,8436fabb,5003ca6f,b972f14,382bf127,f5297990,b4ed3eb,f6c3f19f,b80e75b6,53c370b6,742045e9,ad7dbc80,3a996696,99605345,ebd995c1)
+,S(22184fe7,ed301b2d,62bf83ed,64742f6f,94d204c9,866a637d,d03c58b,54c80a8,9db27528,1073a3d5,617a389d,c5698255,3bc55d6a,3b80cab4,ace36140,8179b442)
+,S(e58617f4,74e46f4a,74b0ed2d,6bafc3cb,6488c510,87136eea,f98aa37a,f201cef3,cc6a7375,52dde05e,71bf2047,d49a41b0,c6b141e2,e4f519d4,36d4f8e4,f2aa2220)
+,S(c1aa4092,5addc5fe,de6c2c5a,ba73b3f2,b7394a0f,1d02846c,5b2a0379,824f8e41,9713af07,e30af560,9516ce73,5083ab53,2475bf26,5713570,28b586c1,d28c687b)
+,S(4aa5d88d,89576459,1ccd1c2,3064c718,69e4d320,b0b71b5a,c08d291a,c1df6168,1d0ea41b,915c288e,c6b36cc3,f7806481,c048482,dce586ad,f240d32a,c913e6e6)
+,S(93876d91,73137834,dca5e192,fa869a02,738d4171,391df1e7,43296f93,a2a8a977,7948463d,32bad450,24e63d9d,d5786a69,73fc6c8f,9d2a7c3d,e2d6fbad,7a6457a4)
+,S(c80cd7d,30268025,b233dd13,f2f2af37,5d18080a,54c406ee,50e4890f,a91b7b28,9f73b58b,1f1d11f9,1648f904,ac7ad275,9e6260c9,27870292,278fe521,b718bc4b)
+,S(d2bd24d9,7dd4a345,a8c4e857,97a9c30c,e8e7e7c4,3ce79bb8,fba4250e,a0c8c5cb,330f0cb8,15cb1931,90331055,809eb028,55ae895,ee1a30f7,665166b9,6494b9e)
+,S(d4e4a3a2,90deea18,fb15457d,f3ab9815,5d722589,515a38b8,dc303307,5dd7e9f4,4854493e,77d0ecb1,742bdc9b,a5219e9a,71c57a6c,b914b8a5,6eec21dd,3e7d1c21)
+,S(f0fb6cf4,810de399,fcd1b246,f0e76e2b,d318f82e,1601ebea,2779be6d,47236d19,e3ad5160,66480239,88b0b197,3eb2a41e,2cc9b4d3,7cf58d07,ad0edde7,ac595daf)
+,S(dd4ec58e,3f4c470c,36991740,d02b0fc7,9a4f9df1,98647ab0,ebf73b10,34858939,3a6ecc86,a3b058ce,f278c839,541e92dc,737a6390,94ffa464,17e37da0,40a3bfe3)
+,S(ec56910,1d7ed954,d4efe1b6,c4f6ade1,2af12f3a,ddc75a8b,8fdaebb7,ab904e51,3497c67f,5d594f71,4327111a,e22f2621,be7cbaad,b2cc1d6d,be0b7e50,d450c54a)
+,S(ca45def8,51856a5,7ca5e1aa,64edc3cb,e25ef6b0,e28abda5,a85d9a19,dbaa35c5,db8b2357,268db9eb,e013fcde,111372c2,6eb4ed69,5a7a3df0,4d1d33db,703521b2)
+,S(b44c5388,964521e2,4803c8b6,3dc8a494,40f8ba15,435ce2e6,5f6dc092,15b49a47,2e16435d,f30c4b80,cf125e04,b85166b9,509890a9,c1daf1f5,72462a83,de198d00)
+,S(95b735e2,35862f14,e9291a5,4b46d977,33a20ce1,b59b4603,666cfeca,e05dea26,e1281705,5f38be19,9bc9977,b6e80c08,f22ab5b1,286ea553,21145675,264aabb9)
+,S(83d9d867,8fbb0263,6ce8d231,3ee4716c,a15c71b2,66c1a7ce,e56928ed,73e5bdfc,e0494c2f,be92f132,effe7d78,499f4a00,c35027c2,37df8545,9918687b,6b949246)
+,S(98b7c85,a04c546d,bbf6bad1,6914e247,1d3b478c,f30dd6f0,2e843770,49bbae03,769c3b95,3733dfd9,d9027da4,a10b0a65,ce4106f9,44364972,e569c63d,3b2ace57)
+,S(3ce7b677,852d34ec,34358a8f,4da66d53,75019cb1,19a45dfe,864062a,a3b12e45,68d2790f,1838b86,96272c4b,d5e418a9,2cf03d9,de44f218,e42562dd,467e409a)
+,S(a0bc28f4,d4da7101,41d0dca7,51542b83,6b50bdc8,997b291,e074727e,cad7836f,6ed7e149,40f2781c,d685a581,99f163d2,177eecbc,ca785224,2a8b4859,97e47c88)
+,S(9a571ba3,52b1d62b,4e5d290a,c0d41983,97750fc4,9a18cb68,18fe11ab,1e185c0b,1a91cccd,b2b1f58f,9cfc0dfe,d3464917,f6c2870,9bdd8128,ff61e295,ad1b4ad1)
+,S(fba0544f,cdd2de73,d24eca5,55a8c4b0,4e135c1d,8348cb93,d53f647e,2a21b9bf,7a11a425,a4ec6acf,2eafe631,ff83be6a,f71a6cc9,f7dbe3f7,aed57e04,2774568a)
+,S(d96b253a,1edbf662,3902bdd7,1c3bad9,ecad1115,45614b48,5f7abca1,d4920a9b,2bc88998,f951b831,2f27d09f,2f331536,1499f1c8,b172f1f2,408d0660,3b18c2e8)
+,S(2b3c17ce,1081b825,94ae14da,f9723f9,9823382e,947c1356,13a4b8a6,42267c2b,a4cd589f,2ebd245b,88c7f1fa,427a2ab6,e77205c2,dbbcc74f,dbbdfa69,336048ff)
+,S(69698780,fdac522c,69313ea7,2e244d9d,3f6bc5c9,4fd86125,2eb56369,c96439f9,e8eeb3c6,460f475f,c06b5943,9bb9994d,8d6e4314,fe20020e,c1001f77,25a03154)
+,S(1e344611,4cb4dc4c,963e172c,9bfc2f4a,d1577efc,ae2ffc6d,76395ef9,a0848c68,debbb8df,e6f59a0e,b96d464,3bbc6d51,a2bb4621,6059de1d,a473436c,404f5b19)
+,S(6ccfae02,4c7f2a9a,ba12c191,bd35e287,d5c30284,c4273a1f,c558ae8d,286aa61a,c2014174,c78a2fd,d342ade2,51e4588d,94c4cdf1,ee83ade8,54e48388,b6e7cb11)
+,S(5b5fd487,69b6a133,35bf0a2e,61a2128a,db43153f,9497c77e,c32b16e2,ca4c728e,9954353f,b23c9d44,eadf2632,168711b5,5a54c9da,53c41088,50fe77cd,8cf00c77)
+,S(6b74a257,27af44dd,61fbbbd2,7323b63f,e6a41d9d,f5412215,65a6a9bc,35d069e,a4e1214,f17b8dff,b5bd689c,5f004c98,39b87a46,15245756,48099d33,f432a34c)
+,S(5171a187,8ae9ed01,837408b9,fe08f317,8688606c,aae04b2,63cbf143,b8e372a2,b5e7de6b,964153cc,fe64a472,8a8f20a4,44da8e15,c593b7e8,68140276,b172d06)
+,S(df9e86a,4337ef32,3518568c,e52958ab,dbce8a92,840b756c,279e96cd,43c8e80d,5442baee,c72f460a,110e8ff6,1e938132,50b2ccdf,61941df,5f591bb4,73027da7)
+,S(ce070279,eb6f1f71,af876ab7,3903fbd0,ac9e4693,7b6d3307,2ec80182,3887c850,de83ddf9,88f9d345,e1ff2a79,e91f8ad9,6ea23097,538dde84,aea0ded4,b6a155eb)
+,S(a0255c62,44afc84c,58238936,c9d08d36,96e5789b,ed28c40,7667f348,4c2f35fd,93e2d407,aef898d7,c898293,fb20f222,6cd5017,cd62669f,17ee0d16,773c6f7a)
+,S(ae82dead,b76d5dd7,140e1197,a383ff62,138e1840,dc2f7ef0,d5126dca,86f0d86b,239dbbac,caaa0779,a9f6d8ec,2e30b590,72d36b58,199a27c6,5f5815ca,5720964a)
+,S(cf0999ce,bee65e2e,d596441e,a8942461,97c597ac,9c090884,44c375d9,16332393,6620cbd2,f074edd5,1ff8cd5,45adcdbd,1c664ad2,6935880,8655ffb3,3a748ca4)
+,S(5fb4af74,6404b01b,63bff1b4,1bacbb36,9ec06801,9454622a,76258033,9cd3965c,464cb2e1,2cce697c,d409529f,a48e7448,916a51b4,5954fe93,d99ce392,272abff5)
+,S(15af3c0a,46b5232e,55e5687,a2bc4acc,2c7a350f,8114e3a0,1993a0f3,1b3216b4,ae03739b,bdce38b0,4735acd9,3a3ff7ba,86c8189e,56a5bb37,ad83a574,cdd45a83)
+,S(5d0035d1,d008ccc5,42cb8b5d,32d973da,32c88787,640d0465,76d33e36,540b4b10,448ed8e5,bffa9f28,6689061f,73a74f17,76db8a8c,d5b4af39,6173e7be,6e54c465)
+,S(944c70f3,9cf749df,edb9d322,ffc69e3a,a40b0704,fc4af915,e027bad4,83c95527,b0ac0c3b,bf489332,64a6e95c,e49a669a,df10acfd,48e22fc2,1a18ecbd,b86c6f0c)
+,S(fa5219f0,82ec3c4a,3f246754,dad62f04,52e26225,6cd28acc,846bc5d6,151e4402,32ce81e9,d6403132,d7b64f26,a0289031,eb730d2b,dcd0065a,1b4e3f3,a7afae9)
+,S(c9f4aa30,ddbee263,509455a,858b8518,85c6a16b,5d9bf032,70443928,38a30ede,5ef717c6,b438af31,9a892799,46b73ba7,add20334,c2fa5bae,a15b7632,34ad7b7c)
+,S(2f4cf3ca,7454d569,5b0dd2fd,c72d4ffe,529b362,deeea120,162c178e,7b770319,dcda920e,3566ebcb,f47c1ce0,fb767092,fe7c87c5,ff146042,d5a0ceb7,a2f7d487)
+,S(2417f576,2e0cd74a,f07a41a7,51f91b3e,a1cb0a42,2246af4,a0a96b8,79969945,6a96d755,f8dc71bc,adad0a3f,61cb44ed,741ef96d,96baacee,fcfba7ff,1e7807d9)
+,S(9ab22f84,305a1c1f,675ca5ba,cbb3dba4,d43d060a,ee9148c6,6cfb61b8,5888852c,af0506fa,a2588e3a,7aeac12a,7acdda3b,b51d996b,2cca9c18,e23b517a,a428a03e)
+,S(f7421ea2,24627926,28ed878,7e154724,77a91726,5a162f52,87501d1d,24a72b6c,db0ae665,e4484132,f372ca6d,8cd46115,fe1c72cc,885804dd,8f508900,5743fcf6)
+,S(35756af3,548d57e8,dc0bb791,8b9875b1,10a912bb,7d971e35,4963bd7f,df5c6f75,1ca46dba,78a2b4fd,d4ed69ae,bd4e1961,86d94b8e,20b1660f,c517098d,e077a1d2)
+,S(a7e9f00c,494cfaf2,16449d9a,b0dae7ff,de4041c2,fe031bc0,241c44db,1bf01837,f2aeb9ae,480b406a,9753d009,3b5fbb74,5a7760de,4ef508b7,d10804c0,161a0280)
+,S(69451dba,92872879,7737755b,7655ce70,64838aa2,9084fc1a,c88f5e6f,ca62adb7,26218fa8,d40df091,31d845d4,96c7b950,1071537b,51a3143c,c73f1a7,b02b1cd9)
+,S(c49c3b30,15cca66f,ce986a37,588205fc,89a92d0f,c520ad3,5eb6cce3,daabf06d,7afde84a,665b02b0,e0cf9ca9,9d2ad097,6242919c,53e31b5e,6216d67c,580e354c)
+,S(e9e181bf,b68e6e38,c5b6ee1d,f11c14f8,90c0c744,8570387,1ab6b624,6b9dae8f,b0bcfedb,3f394317,907e260,c3651aa4,d1af5ca5,e1a34018,fc6c26a2,d5ef5e1b)
+,S(a428586f,adf41cf,5b5c9e52,e0d6e1f9,2e7d8738,ab99e8bc,4062e302,de392324,77c3e18b,fe71c937,65b911e8,b49cdee9,a2a7413f,4de831c8,3f967f08,95b8d142)
+,S(f5c92ed2,de1d1a25,4b4a4830,b656a674,38077be7,5efed94d,785dd0d9,72712cf,7ee98d3a,497849cd,5b5f6dcb,c51c5119,228fdf7e,1a67f1e,d7c670b9,eb3958fb)
+,S(a85707ca,6c85f506,311b6930,767b5571,e18c19c7,ff2574bd,f268f018,b49c3f66,1785fe71,cde2e189,aaf67d10,337b8fb8,53654335,4d5ba73d,77518d9f,5e8aa050)
+,S(8866f5f,a4c8d1c2,f2de0cf8,19eca5c4,d084ab60,67a7d97c,f9942fe,c0a7468d,3014226c,3f33907a,2f6c49ad,c762be6e,2915288b,a7ec009a,fe693048,3588336e)
+,S(425f6d73,37eb2d68,e17d07c8,bda406cf,92af22b5,6461bd66,f40be14c,ae0688cc,e865526f,7c42e391,1ab73290,e80bd9fc,9643659,5871bdbd,ef8d698f,d04d4980)
+,S(f70fc3e,1de3b3fd,55418441,43deb4be,36bfe6af,3bc9d9a2,f8ac823d,68323139,8b47994b,1febb309,e3774a82,d6b18d78,8ae5750b,40aa944a,dae404b5,da24ce03)
+,S(1be960f3,38d2a16,703b10c,eafa121c,d59c66d9,439e9067,58a0b363,2a83116c,7fa4ca2f,8218ee04,351549cc,3b0100fb,647e0db,19eea010,62f1c0de,3de29aef)
+,S(1f2a2d3,bc5c80a3,8af51e9f,5694a80e,e915eb89,4831ea7e,48472d53,320cf385,a18cea39,174b4c49,f9bcb945,5e6701f9,47053f07,6782ce9f,f55653be,6d3940e5)
+,S(61d6b60,70846b0b,b7790861,17cafaa9,9aa67c37,fe77140e,88477f3e,44d04766,c7f4be90,86849ae1,632eb59a,6c96de66,b7c4b1ea,caf724d2,5338c11c,a8f2688f)
+,S(2b37093,2d9a6451,79508daf,4be7f26,6d540538,9276fc4f,e6ccf0d4,1ee6cc9c,c002a3f4,2c8998b1,ee16a1d8,616ce0b7,91cdfc44,61839d9f,5ca0090e,295beca7)
+,S(48f5c3ef,aba8b7a3,4d7fd136,fe9b01f,64af0e95,6a27663a,87cd6629,f2708858,8cc38cb7,fce46724,7c2f09cc,52f973be,90aefdbf,b52895e2,b88f03e8,fe32b5ab)
+,S(e609b597,2e5ec227,6f5cfc87,67b6d534,adfbe9e9,9e60b86,e981dd9b,3e62cfa0,6be9c1ee,ff205fd3,e3b85e3d,bbf1b27a,335ca616,9ae189f,a433e65,f2b43081)
+,S(ebe40b1a,5b2c9cc8,46eb8ea8,1ef0c1ce,f19a767b,2da6ab0b,2ab66a01,b16d205a,2f7710e8,e4fecbd1,39899bd,1964f5da,967d6920,d70b2f4,45d6f914,97c67058)
+,S(97cd4c39,9391b1ef,653d32f3,9b062bcf,dbc72d45,83d81b3f,f70df659,358e3abd,a05a6184,a175b6de,f9bc35c5,6e9f5cae,263acf2b,a233bfe8,13dd98a7,fbf37968)
+,S(826928aa,1d3fd0e8,53cd99fc,e6559ae7,257343aa,378100e,bf64a3c1,bea7e6d9,bc4a2db1,a3bde90a,ff50fddf,cf6f844a,faad7f8a,89bb399b,20b07b2,2e1efc79)
+,S(3e754097,f3ac95dd,176e9181,410bae7a,83bd1431,6772e398,967ed39a,5fa19121,746cce99,c6a2cff8,a0907ea1,5cf9436c,ca7f94,7f3f1801,135fe675,a518df32)
+,S(ce539464,b49b9947,808a236c,8a027066,82991f46,3bb828fa,44653266,329365db,3578fec2,b8bc4763,61f2fda,29c2c38b,a7bda79c,11b2cd41,a74d4c02,762e5dd9)
+,S(c933d9d9,cda615ad,7ac41d6a,e64a77cb,44a2b669,21533669,2c90c3af,53e349dd,4a6da24f,83baebbb,8f2a8ede,298babce,a25b054a,a1c4cc11,f9f0b0db,572c610)
+,S(459aa43b,1aa9815f,e9116f2e,78ddddef,a78e2def,28027d51,d081a3bc,800b2ac4,1acedbc3,de995e30,b16900d4,cddcd1f2,5c615156,fc29645,4bd5fc7c,63e993d5)
+,S(5f2aa5d9,9862ad29,eb467564,639abfc,ff445334,9a30c4d4,3b27f913,1e3b0a5e,571eca2b,e61d0bf2,d9def9ba,445b39b2,5acfbbb7,dd4e2cfb,ce7541c9,61ace144)
+,S(ec66ea1d,e6cc5d59,8c393e68,1a338549,fc2c3d7f,947b40f5,75681e60,88f4fd1d,d711ffdb,3b378435,5894dfa9,d0a5497a,5540739f,a3706597,8ab7dbea,a9280f52)
+,S(6ac53df5,aa097f2d,9983f018,bd1cab39,69ad0638,c78547ab,1a481682,ad6105fe,95f69a81,5127b919,9488f224,24307969,3cd51796,bba08578,abfc8e05,6618a598)
+,S(a8a3e9e2,9e4ad0fd,c466dcb8,fdc02cf4,16fb5c85,b3454fd,3842f129,9f96c0b0,df86eb3e,3006dea5,ed6d152,f394d7c3,169b8d09,bde3685,ce138a55,6716dc2b)
+,S(50a764d2,a0d8741b,95ec84a2,feda6df8,1dbe987c,31861166,32c40c3d,e6db251c,b28203f0,233917c1,4b67632a,ce9b512d,76a8c7e2,430a4a40,85cfb422,7fe41055)
+,S(c2c314b1,5ef9df1d,26856c9f,a6e39cf9,1bd9c584,582893a9,423746ca,1ab51ef9,a27f9286,ff7fdfaa,b949a9f5,d59f08b7,a22f1e31,e7175d44,93e219a4,e92ab759)
+,S(ba655585,da44c8d1,2b3ce375,e220a4c3,64868b75,370fdb75,dbf6bb92,76a9d3df,3d64e16b,a03a385b,def18f61,432cc49c,bdd9d04e,6fc8873b,e51663bb,ca4fda50)
+,S(3d45fa49,d4d100a4,b5a76a65,1a5100e,56bd0d13,b9e141c2,aca5cfef,a46e600e,92953c,38eeee42,e1da93b1,3c75ba48,da30390e,731801ec,ed5bdc2b,58059176)
+,S(e464c346,e40dc3e2,40e5d96e,1fb2c10c,83e5ab7f,45138596,4ca46b04,bc8c3a8c,63f14b46,182950bd,282205aa,374cd67b,ca364a4,f57cf90f,c7ac90d6,5204cf4e)
+,S(14a7e12f,e235b307,5b0d218,bd3dc720,d56f3fe4,c73841e3,fdf42dd5,aea42688,d79683cc,40cef482,ed6a22d4,8137a4f0,eac31249,9ae13809,9eebf3a3,15e9ff2a)
+,S(8e7afbb8,21af73b2,25b34ffa,bb2ff6f4,61d2ee2b,85d5d936,a99fb078,963828be,40e4776,5aa0768c,f055bea0,e20e1062,bb528470,dee61ec1,6cc9ce7d,ae6b1853)
+,S(9d641162,3227bd0f,4bcf9f1f,9e5ce829,7d844055,8a7ec246,5b160690,53297573,ed0d83a0,68001be5,70067ea4,70fec09e,1f8630d5,da5d1b2c,126c35c3,9b07fc8d)
+,S(6758c6d6,d9e49d9f,4125b52b,e3da74e7,52bb40f1,44af0f0b,7bd80589,7fc83eaf,749ae08e,c2aa2c36,3a229b3d,e9577dbc,5f7d22cc,d46826e3,6a1cb434,184fd292)
+,S(b3e11a0,45702d8b,14d93df6,3a4c11f5,32632719,b4a33fb8,da11514,bc61d73a,c6e152b1,2b267ec2,1a23892,8cb97044,9660c6b6,34b22d18,9a86fbd9,a9d562eb)
+,S(50a325ea,3b309911,1371b0f,e0b9e276,137bf43c,22108b98,994ed5a0,d66fa5f1,946dad1f,d39e0aa5,8a758527,9b39efea,8a99399c,2750739,dfeae140,3745b70e)
+,S(f7c8f249,3befd5a2,cf6802ce,8ac508ee,a97341a6,a46efe39,1214e322,e95e9661,3c072cc4,eec1f370,144b7ec0,598e4d96,573883e7,fa3f3f5d,4e33d88d,1e34cb67)
+,S(302d3b50,c1543386,f0b0b94e,9c49ea68,38c7e7bb,86c28cc3,c8965dc8,38f85b6,988047d0,d891aa2f,60b66e5a,96c78c91,3588d128,d4e7f720,5672d25a,88310744)
+,S(cb8ee728,2e7e5ba6,d0e8ecb,55ede89a,1d3810fc,b0d8f86a,fbf53b7d,219f0eb7,4b04ea2b,efad1099,8c9a4e3,cf0491c2,bc10bd60,e06a118e,75fe0163,ab8094cd)
+,S(645caa2b,4a0cd8aa,20cf6f04,ac73a49d,74f92035,f90bd31b,211572d4,cfd5fd42,793f2996,35f9d7c1,de62b64e,afe516db,b0aa1323,7f51d0a6,b6fc8346,fb7ef5b9)
+,S(4d37342f,6148b5e7,5434b8df,6617d64c,f00b1c73,3d85f4f3,e69c4a27,395f5a21,6400092b,d4c5c705,464a7db2,b1b6b667,4eebd7dd,38d05cde,d1577d8a,53a708bd)
+,S(e634bf17,24e07b2,b4ac6285,ed28bd39,747a2134,36e76d3d,bd693170,18c0e0d8,cccbcade,4b82a51e,c31d9d8b,6b113876,5e9660fb,e897ca53,20db873,13e9f021)
+,S(80a00de6,2767c513,d5bff535,431d259a,64c49006,3bbf992b,a5111005,360cef38,7dceb589,e8d73366,c467e23e,8fdc7e03,b2620df7,9530b6b2,3fcdcdf,628ef572)
+,S(606d50e6,d23d50ed,9a5b8409,f11d5c76,baf5b765,f719625d,5b2e2dd,9e8f8a0f,19f55492,45b1b4c2,fcc1d220,6c171200,4cbb41e8,bb7c8cc7,48c4366b,3fb32788)
+,S(9c8a0a14,f7d44fb7,4a7ea835,ae4a1932,266c3083,38d66a24,7fdd60ee,e4f0420,42c6c237,31578dd2,31eda621,81aedd29,8737fc7a,3b2be8b4,d0187459,e5d9169a)
+,S(d6ccfcf7,81a46f58,ff9a0154,8a417924,1a32d3ca,43a8e59,cebc33db,1e35da1c,a1caba1a,ce846b8d,8b4824e6,1570f832,87cbcfbc,910256d5,68bdf223,861d084f)
+,S(8cfaf36a,3e4c3ff2,4556f446,4947c8d0,6eed5ded,a40ec0da,4596bad9,f5f2e3c4,991b6ecc,ede6cdfd,e33f81d1,c1067f22,6b72373b,96ca31fc,c80e0692,d8f3c4d7)
+,S(d46c3d81,5b0f3a0b,bcef3973,8c6a6cc7,189849b0,4917fda0,541c08eb,b7e664a0,35524bb6,d053e5d7,c8adc9b6,3a84ed81,58cffe99,4041e642,1fece58a,d967c159)
+,S(8ed7f0a5,2f1f8df7,f82dce33,e4637dcf,e2ce9b75,ca02ef04,90c23fec,2b7adfff,f02460c7,b418d10c,96c27225,3dee3b66,4be1aa5d,427759a5,5d90c223,628d99ff)
+,S(433ecadc,a8a351bd,52ba4d6c,aeea3ff0,825c46b2,8abd2c2b,cea85f6,6daaa2ca,4d3b71bc,c2d7d177,45cd03c4,86f390e3,f6d396fc,83d0438f,983a142f,162977e5)
+,S(c0771ef3,10377f83,7a9bbddd,81f6642b,ba04493b,15c054eb,249b3f9c,bba006e6,3e53ddab,1d816a02,7898c6b4,778d4c48,e1ea2b33,a63955b0,784df258,ef4ccb1e)
+,S(dc2e0226,4a6a87b9,53997383,e35c6cd8,92072ba8,a741fd23,8ff3a9c5,f597ad7,898ee746,ecd5f723,440ac0ff,6f597e85,8ddbacc9,cbc80e01,d8a3c1f1,7c12c74d)
+,S(16bace34,59ad8cbf,1fc5f781,19cd9e31,d043d7b2,ed839f03,11f0b760,6adab771,f64532,6ec697e3,2ca23979,72b2b834,66e835b1,2bd49243,e896c1df,c02fb1c4)
+,S(afb94d8f,3a271439,146539a8,68f00346,9af55eda,839c81a4,725f3a5,7d69c736,afdb294e,a455031d,a70a4eff,7563d764,bdf37fa7,5594c9cb,386e8bd1,a35201d8)
+,S(bb31d236,4a98f7f4,1edb0ae7,6018e5ea,ecc33780,5f781dc7,6b15aa9,d0e89b74,1a064c03,1f47cc7e,cd49f032,f4dcd95e,87cbc28a,7b9d9c27,a92a4c1f,da031a9a)
+,S(f73b1b6c,4bbf5da8,16604ee3,ef6e83b,241e486e,d727e700,1c3c115,3c4318b8,9a28ad6e,9d64cba,b58ac225,5c01b261,25ba08ef,3b7d5ffb,476f9b8a,6c8c9b17)
+,S(63bd212,d0ddc5a0,84f8ea7b,69605b2b,708c8766,f0d3313,b236e921,91afa8a4,ee6f4f6,4824032,afbb0b3,a9fd342d,2fbca8e,ccecdb0f,a3307698,c56c3e67)
+,S(6367d22b,36068022,30a416b7,8c689078,967b955d,875fd629,9e007f86,1abc6465,c3ee1f2d,14e6793f,17e444ad,5595f9b3,118d1647,9259e0bb,ec628897,f69417eb)
+,S(64e2e543,fbb7f52e,57901e3a,448394c6,c922d0f,b632c4f,2df061a8,9485976e,641a602e,336a68b4,fc447e5a,5863a4e6,89511942,4fce011b,48f937df,fcab2a4c)
+,S(2e290afd,18c835c8,d1d79e86,9d9c1322,e16e824a,60e67f38,d6bf3031,e3fee1c6,7f85628e,d2fa6b67,7686b0e,c29a3626,da18ccac,5e373874,96266458,79390f21)
+,S(859a208a,c475d3d,f5f22907,988c7774,c0ba2dcc,d80ba42b,17ef1087,2cee401e,a667c645,778e743a,d62ed1e3,cfa12fcf,84b982a5,f1349e31,33627ffa,8b19f5d8)
+,S(c9291908,ccc50aae,f19c0b86,829fdc63,b608d3db,d92b0939,b92ac02a,2bcaf21,e5c52bb7,47111f58,c71352c8,b2fc89fb,20cb7d45,77c6231a,17d8d01b,6cd2599)
+,S(50359490,42b5b620,78ab0141,1f1a1d4b,64bc42c7,58da4459,b04d41c4,61cefb26,f61e823d,b68c064f,f80d9bd8,f272f817,347c132a,f7bd2af1,e5b451ea,bf4f04e0)
+,S(f9bcfae7,d6a3f1fb,612787c3,53b535ec,39f29a01,9f45f43e,7b61f2de,c4a4cbf3,f4d86e6f,273ad7e7,902d5a99,50fc846a,a6565862,aeddc67b,28fc07a1,232ff883)
+,S(1c8fe8b,901cf050,e93c0004,b0764715,602ac4e9,7f8d5dba,d7747039,f14a9152,b25ddb34,7c452942,92143b6e,cb19f87f,b42a0f27,f6f74c4c,99d7b80c,7d36769c)
+,S(3c50be1,4cbe3a87,d363947c,6eb534e0,8ff676cf,412bc4dd,2c543131,e786f552,4434471c,6e03f600,d8a27775,4466cad0,194f553d,bb653238,8a0ee4a3,9b05a74d)
+,S(64cd71b2,555472f8,fa968b4b,4f8c8b24,5b3e91ad,6d9dd409,fe72702e,e70522f5,f1b1cb3a,e9fa4855,2d7fc2a,819bd629,40350a3c,168782af,5bff16d8,89ede304)
+,S(c1c00444,c584c346,d1bdded8,7cc40b0e,fd8f69e7,d2ec8bcc,c41e3414,619af7a8,d631b494,3e3febb0,87bb391a,d5810b61,f78dbccc,bc6de38e,ee09005d,3d879436)
+,S(fa509582,dad5bb61,c7450fd0,3b7e4ba0,2fbd0c28,af971b96,cbef5956,3fa2a7ed,267c2764,617c2f78,9ab890d7,56be2195,2acdff5b,3490b816,165e2b36,2f3df4e5)
+,S(655dcee6,864e926a,a6e05f04,b604c2da,35175e0c,f7d264d0,50920d46,c1a2386c,da2eaeda,bf062cb4,ba2d36c4,67965baa,5f1dc238,b5e22df7,2bbe14f2,cfee19c8)
+,S(6ab5e1ac,1b7be624,97c8fbe,fec5c4d4,2cc1de06,d15a1beb,7606fc0a,df3c213e,26f983b2,4eb319c,7443e024,7fecdf58,f833928d,4e809d3c,f36231e4,d0a9e466)
+,S(c7da869e,39caa2d,e9f73a0d,3f73ab73,6224e2a5,47ef5af3,5f5a9d51,60c25f3b,e99b1102,49a607d8,12af4cf6,76ae4c4a,cfdc0f89,9ec2175d,c7942b6b,40da579f)
+,S(2a6d4ca1,5f1c3ced,ed68091f,af4d149b,e20b6854,bf015084,a9cc0d21,4944ef99,dfc27688,ae9295e9,ab8d9284,6a703ac5,5cb44bf3,13f179b4,ced6b638,e661ae0)
+,S(447260b3,bba7224c,aa659f70,b1e7716a,92600a27,18129575,2de62cda,11c846c0,f17e3e0f,33ef2ede,8980c922,613947,8331e2a6,40260996,db8da1e0,dc8999bf)
+,S(8cdb1cad,baba7003,8d4b0f44,1b312aed,5a8788a6,6e5356fd,5b994f6f,a7781969,b3a5bd0e,262e673a,ae7be06d,8d56c203,b88750e4,ba06cfa1,7c177edd,74536977)
+,S(28be0f50,fb60f905,18323e6c,dcf46c0c,bc3e2c0f,175d8576,85126a85,d5caaefe,5cc058f7,fb188c4c,e1140429,568c3176,8d986fc3,e96409de,21bf9ba3,862b7320)
+,S(b6dccba,dd2dfad4,8b69218a,d9cf839e,837e2262,7f8f0eb6,f23484a2,994673a0,e1c14ad7,297f1626,774aa2ab,5dcc730a,49623176,ae81eeaf,b52cfd4c,fa2de992)
+,S(e45ebec8,8813f7e5,7a7ecec9,dc5fcda6,b9cbb0f9,19bae1d,be770955,e3766a87,3a62a0bb,4ccf3783,7c384885,7acbaa9f,f915cc7f,13a46856,3ff135eb,dfbb07a)
+,S(de926f77,26f39d48,1e0b9e55,22b7c874,59bc9d07,df65f0eb,7b21fea,e8dccdbb,9d190ea9,263d4240,24b618ce,1239f6e1,115be2b1,d721aba0,f5f367f6,304d8e05)
+,S(f7621384,20669c04,6d794807,569722b4,91e4272e,1305f091,b54a03f2,ecf2caf0,d0c7e8e5,a227f2a9,5c594528,4590caa3,3088c92b,b4c7cf6d,12d293d0,4b9e4914)
+,S(4e795e86,44ffee08,f44d472e,8ba0eb9d,a5cdb1d1,619a437d,4a8bbfe8,565ce751,5292d8e5,478268f9,bb9b4be3,c751e587,65038c55,99cb3549,749e83e2,1590a4e0)
+,S(70e64689,a944b03f,32b33a97,c8923531,cdf75e8d,e8577559,bf45d2d2,ddb50b3d,a675c6e5,460b89a4,a2dae263,c71e6edf,925a93bb,a916951a,5364d252,c225586)
+,S(21637c2e,682b247e,cb8c1c,8b4bff1f,477ef390,3b9da0fa,b08b5cf2,5b67056b,e357165e,3e761a55,7e4c2b6c,727d8387,c5716b58,e24d0e04,8314979e,4e92d882)
+,S(7691a399,8dad2e1,741a4135,18bdbb,d8ae5bb1,7466a949,a40560a3,9c1d1964,225f1404,b05b5bb6,cdbf2296,f76e7f27,257280e,28c68be4,d8c81c47,a422b74)
+,S(748316a4,f3950849,9af5a14b,27eabf9,b0d11e91,d8752cb,69899af8,79af9302,cdcdd4d2,6bd709d8,c3d87c12,6dd8a2c4,f600fc1b,9e84461f,1793047b,5bfd7ee2)
+,S(af588dab,3839e85c,6dc84aa6,c1e05294,a9708951,8006b390,c2ffe0ef,f6ed9b8a,a3d37640,1b06548f,2794131f,5e002aad,616ca135,8cf0c81d,87015416,37d9cff0)
+,S(bd91dc60,31706ffb,19b61796,995728b0,5f869d07,6f0b6537,35c46e10,d9b42dc6,3c963ed1,5a74f5c6,1a28db8e,de070870,cdce2cf7,d6525a6d,16171076,44f153b2)
+,S(e625c4a5,91460bbf,5c3aa583,c4cb1e1f,c202c82,7debb82d,985732ed,ede98f47,d026c5f9,a9035396,1de50534,8e4ac600,812a461,c913299d,7fddccc1,5970b72e)
+,S(6bd227fe,d4b193af,8b94553c,718357e4,122cd057,d95980e8,ebc8fe5c,7fdaac1c,5f3fe540,a98b044,9ed835d3,b0a2b4e7,c66a0549,e4b7b9f0,22fd5249,c621a9f9)
+,S(27707a25,895e6f38,523d3872,c5b34e7c,68a0f0f9,54c6ef49,5cff6664,1edb2609,ef6f4f8e,c893d697,69f34b38,f7f677e9,e5de5c91,48cdf35e,3a18022,3ea777ee)
+,S(6052248e,3359414e,bb7770ea,4284d7c,c01770c0,e75466db,1f314e0f,cff0ebde,3d982058,5cf0d546,9fa62e02,aa556fb,1a1ac7d3,1cb9712c,8b118e2a,e3f7b7a2)
+,S(f2cb5b53,4fa6124c,16d82506,8b229857,4d4fc666,9b45550e,6c75a114,f370f6bc,5cde5707,63a5cad2,13952def,43cc779f,8ec9dcbb,c5fac8a0,ad7a740b,7241112e)
+,S(77ad8215,9fe6b9f9,e08030c7,a75c601f,4989b51,4ef6db20,aa9d0b23,e87a502e,9268a1ee,ffc24932,74856add,2ba1ebb3,c13678,99af932a,87fc680d,ea9b703d)
+,S(4418748d,171cf80f,a7f80fd7,c2d7891b,5cc9aa0f,ba4ec1c8,a114cbc9,4a8fd29d,5130285,79f01b7f,72f18322,b279fe7a,9916c16a,a67c6aee,babbb418,fb1835c1)
+,S(16af4960,6f89c87b,7e5901b4,d11a826d,126e59ff,df7d0883,1d37d7e6,367355e0,1a138440,537223c9,e8e131ca,8ea3b38c,12c8e8ea,50ee09f6,8ca4c2cd,4cb04c2e)
+,S(22d2043c,ab4431b8,cf77ba0c,ad81848c,730a730,35277e4a,ae6392f9,de120f9d,d7795dad,5e5b46d0,9c36520a,c7fccf9f,4d71f9c9,8ed3d45a,432f4f6b,991b8acd)
+,S(57e7a8b,34826533,7e203360,2f6244b6,41d92c8b,b2419734,9fbb3271,57676302,4d9238e8,ba4bc8b2,c3abd2eb,6bb2e545,5146afdd,3d1ce2a0,9752803b,4599b83a)
+,S(45567f60,2755027e,282b39ed,5ddab1c,7ea19a82,4c0609da,9ab455b0,26acc359,db55ed5a,77a354ed,e4229161,141392dd,82c1ccf7,f726fd4c,2fbba48d,4134f5a7)
+,S(968fb554,91059347,9dc1933c,a8453201,798a0be7,1a284c38,3e8fa5a0,f67fa80f,63586b1,6853f550,c36d8394,56718376,1c14101,dd03cbd0,b164cca1,24e8920e)
+,S(f366c649,f633cd7,f1fef522,b78f7b85,3d640acd,11af2d17,14c14251,ad873107,5fc396af,38f4988d,82c4cfab,59d415ef,25b260d5,711ad546,e56fb65c,7482c6b9)
+,S(aa0c4fd4,4a2e68b2,edc16eff,d2b3c29c,59b19289,1503e6e9,ad068743,fc201d06,614e3224,2fba7977,464b5c4d,b76270d0,2763aca2,54aa5b82,b5ddf8b7,ff3fee33)
+,S(6c886cee,19b2cec6,91c57abb,da830e45,da4cbdcf,37484ad2,b4444948,8f2cc876,24cfcbbd,9ab4df87,87eb384,fec64e5a,a197e897,bcf2dcf5,def4b94e,afc16a1)
+,S(4d600199,c33f76ee,c81d1686,f116d4e0,fbe5e4ca,df3bee43,9a81785b,c6095554,cb414cce,b769f70e,115d4321,fdfed743,2bf73dc4,9f1628e9,dad15f32,5fae614a)
+,S(377dd0a0,196d59e0,e71e8472,4b65bb16,12c3caca,d2f2230a,a675a25a,5d0a4fc2,2c727e7d,8c8e27dc,a5ff7c27,b349752,1159c736,2b51f38f,e0343c74,acfeb560)
+,S(9cc0cf8a,23afdf35,1bb1826f,9d900b8a,e8aa5019,8cf36552,9ca928a5,9c820f46,b572f15b,e2aac0a8,c8142c53,ea43a0a0,693e5446,5d5531f8,b068d347,f7e67256)
+,S(d55dfaa6,41492b1e,981d154a,2be0441e,4cfb01ea,a51c40ea,d4a4d8ed,19fa3050,2e795dcb,408c74c2,a9898f31,523a1e72,da0c4c77,c2dd2eb,45fb2e51,8f238ac1)
+,S(46bf63d7,2d113152,3075efb3,fac6c07e,e3d27e87,279724e8,46306dee,7d210fd5,771bb1f2,30fa3253,7e3b433a,2905c4a2,dc4a2e37,32e282fc,94cb2c88,33b0b199)
+,S(4bcfe388,3e77c17,8c6f1826,f75e7c3b,594ef8b8,c1a9ba3a,13f00597,50ca3aad,b5562e93,9dcf4672,fa283cf5,6c05389c,ec5ea923,b47d09b6,2ddaaf54,8a1b0129)
+,S(c9681af4,715e69ee,d7cce802,34bb2a49,6255ba39,1df76c57,df9747b8,d8c241db,c8b175cb,b03d5206,5f2bb846,81bdcb04,da530e81,31082e08,28c21f7e,cde038e6)
+,S(9fa0a1b,56bd6ac7,f4a2671a,3b4f6ae9,bd5538bd,4c6b4101,790b16bc,c2fbc33c,27f9eabe,785c7cce,e4859959,348b4864,16056f68,6d445fb5,c08fd8b6,33129e63)
+,S(15042df0,ca178aac,723e7b9,8677964f,a87203f2,bc0e1fea,a56ec6a4,73d0381e,445db657,dac86b0d,f8f9eb59,a143e75f,e271cbfd,2420b3a1,677ee3bd,8d0183f2)
+,S(354f6a63,d4c1877,e0e7da3e,921db767,6b7f9dd0,eaf8b65,eb08b032,1f37e9b2,1000503b,d65b80be,eb72f480,a43efd65,2eb784d8,650bffea,5559aa2b,104ea8fc)
+,S(19c36161,7a448fc0,49cd8864,d2707d6e,9e4ba74e,79ae3d8a,c11430c5,99de065c,2f9f9fd8,fd38ee81,94ef570c,1b7299ee,75742d18,1610a2fa,4dd06f30,989acff5)
+,S(3739848a,d2ab8a66,b6a7a2d4,add9fa8f,5a50807b,56ce5d39,5bd4c146,7083f88e,6fd71820,611102bd,f4dd2056,92e188cd,68a5409,1036951e,6f58162c,65f0cbc9)
+,S(9c22cb45,261c2336,7dce66f1,f84b84f5,2dd7e58f,8ac6dba9,50062eac,1c10aa35,ff84e3f5,8c25be72,910bead6,286dcb9f,605b0017,1996d46e,c8dbee64,52a1116)
+,S(572145c8,7f311732,7ecc71e4,5e37c555,5a412785,7513fabb,d0fbdd49,6db4538e,163e63ac,5e3908da,2aed5166,c121548d,5338c6ac,4ea7550,242c7910,8a38871f)
+,S(c9f07954,d8413eb5,8ef213b7,51a966c7,4c641ed9,8db8685b,d931e321,2de940ef,9e6844bc,804f3d3c,a065fe7c,b09bcecc,92cf5af3,ede9041d,792c184c,cde17fd0)
+,S(ac297f46,b07c8a29,d664a24d,f05a8a51,f7b0e4aa,e8800c3,f9291a13,787f25e3,686e3b7f,78e45ad7,fd1bbca0,54a5d182,b1556c77,753c1858,75e98de8,29b66cbb)
+,S(6c5913b,b383a688,390274df,121eda23,5ad55dbc,80bc198c,21897934,98b3e1b5,54b9b83a,e3649f4a,2f11ebf4,61e24a55,53e5b4b5,d0f78dc9,1c35aade,2cb9ccf1)
+,S(b9926fa3,f503356b,eca59ee9,2163cbf9,846e3efd,c793db45,cf7ea8e5,af2495df,d6dd7c5,33d4e7a1,ed415c51,1fc15e05,54fd00c,100bf047,bb8f9054,42e2a512)
+,S(4325d1d2,f2cabe77,fe0ac758,f6073057,cb36adcc,5357fd5a,31473ad8,74e69556,de437968,2ff6315f,8870562d,560cc48f,818c8fb5,c45ad932,ed5a7d4f,534904a9)
+,S(a183e95f,fd84bfca,4afc9059,ce1c40f4,eed924dc,d1bfff11,d38a8c1,14164917,11c57610,c7ffca41,145046d,4cdf95ec,c38d695d,bef057f0,a0d01bb4,41d64b95)
+,S(b340d0d9,ad6528f0,d9651414,f48fdbc2,ab7af5fd,3baa8091,84d5e881,6cd07114,85ed726a,9ecd70f7,f964dfbd,40e4b68e,ae2671a9,b6c3d384,919d040e,120dd4e1)
+,S(b52daa88,35992fa4,1595f0a4,c9e075d0,b146fae3,6c0d640e,8e6f34c2,16719377,6088b139,9fa83889,a6cb5cba,d478c7a0,4f42f082,24b169df,85ec90e4,7a4ad7ad)
+,S(90bbd15,42b0f88e,9f7f82bf,7c2b5fe5,f269ba36,4523a18d,5dc5709a,2ab9d8ad,c9df924a,51af344c,a71461d2,bd3743df,c6958490,caa68743,e06e7348,528fc4e5)
+,S(f72ee5a8,1696194f,ed3d4603,f2c9312e,b31c54fb,438b1fd2,2788ea6a,a3aa8365,e2963d82,b6ca0f4b,8ffc1078,cd45a72d,e66f4cc,78567074,4fc1721,e50fde8a)
+,S(108aeb71,5bc70525,42f5d6dd,dfd348f3,66a10f4d,d99f9298,c35a8397,e6b9fb53,8388b339,75a58e04,a0f6df47,23728986,97b8d970,ac6bd45b,49b9cf1c,3209f1ce)
+,S(dc3daeed,87345ebf,824a5ff5,c7f46268,fe54c901,493e2e86,e2667fb6,ff61d5b0,b5a7e641,238e0467,196c1683,bab47f66,cf001079,932a5d56,da20f89d,d93411e5)
+,S(3f96a83c,2be16120,e81e1d26,e3853ef3,a82c5f32,f8d6bef9,38179c06,4265c589,eb8d370e,797cf20f,d5a0d734,9fbd027d,630ba1fa,bafffa0f,2ea37131,6b5c64b3)
+,S(27caf86c,e1f423e3,1cca2278,244fbe3,b358357f,af1b7866,1de13b96,eff5c4f3,e8f77718,647acfb4,633ddbc2,3dbdca0f,2187e24a,2f2d45a1,39bfa1b8,a2b30f61)
+,S(6681cfb9,e2418786,1887f964,84819645,2d301a1c,7c082361,67a24c62,f74d04f,9c89eb3a,7849e944,2f5f521c,c08d11ef,f1ce4869,98d4d760,8dcb4a37,b815151d)
+,S(6711b849,48664639,67274709,2fbbafa2,fcac45dc,1795e80e,67fb0e65,beba8da5,ca12c83f,1c8f5ed9,222d8cec,bbcaa51d,6b986a5f,60d2c118,b812b259,294cfcc6)
+,S(5ee9cfd0,b1102cdb,a0fd22b0,569875c5,fdd73467,22769011,8b7843e2,b71dd94d,1dd7a4e5,bd7f9ee4,e17c518f,19b60332,60d2294,8b5f463a,ed9021de,87d7d86)
+,S(586dad7b,13390be6,f3d95a46,6d0224de,d7538f1d,2d2d9785,e38a3f2a,edf4924c,c777eda5,a68a3582,1735bd33,7119e58c,bc2fb101,c995f986,7bed9786,cc2b64d0)
+,S(5a752d2,fa012c7,1924b6e6,90ddc7e8,867f6ee0,ad8eed91,84f7250d,665091ec,57f2232b,32b36429,f15029fc,5789042f,ec1ace97,5f2cad27,d53ae819,47b95db6)
+,S(f93cbeff,22bc577e,a9cfef22,378eb142,426372e0,7be72e60,2a8064,a53e638e,abc772bb,401bdb42,94b16670,2279e4f3,eeadb75d,57190a59,96f34237,83afe50f)
+,S(8c272c9e,96130972,2efc34c3,6a6e63ac,76052cfb,856eb8cc,3dd014e9,d2608a9,9987d168,13c57162,3ba7d226,18b54003,731e3716,3495edfd,e85e927e,6e4607b3)
+,S(bf78a0d6,1519542b,a54226c4,d386ddc0,38dfd84c,9f9555e2,3e187c11,4d769bc5,6094e1e4,d84ec081,e6014b59,d42959ef,e160587d,315bcfe5,5d26ec98,b1910280)
+,S(5b264b76,cd092a1b,ffbab651,f42485fd,497aaa5a,e311eb28,ee1fdb99,32e65caa,944f9359,4b68d7c3,6610fdc8,85695b06,1dd84722,d5d88c84,c8c188e0,69d70d78)
+,S(a2473cea,8075a0d1,33bc1459,8d147705,322f7151,274e797,4b7e042a,c082b559,64de830d,b6557b06,d9b09d79,4f6c905b,5168d32a,708484b5,d2c68a89,a2575a18)
+,S(3e18d5e6,3dd0c514,4341535d,a7087bd5,f14b0708,a292350,6528a803,609efa45,6e9c71b9,7d007382,f82fd041,be53470c,26dc2f16,26a9f0a6,e1d9ff67,54288c5b)
+,S(d1acdbcd,b91e6315,bce96eb0,9c229086,6a767441,4285984b,71af6156,8294dfa5,5e3b0cd8,9872375c,3f807201,73e29d3c,accb67e9,66b99452,2c9e9f88,613da5a4)
+,S(3aa999e2,9344e0f2,b5ecc880,a35ecf75,25ddb028,c40f64e1,a210aeb7,d850c90d,cd2ce25c,fbe3a1be,dd2e6fcb,e9e9a881,28c454e,c7ca1951,5673aabf,a543d42b)
+,S(98a2361d,7c3815cb,ecd0aa4c,8a3a6ca3,3e1b31e2,5a4b6398,146d6709,61a5017d,1f33df78,3040c13,be821395,8d78e039,516df25d,4d9d0de6,d397128a,2c09f2bc)
+,S(528b9d8c,907ab870,6d7a5562,84cb69cb,ff348247,be1b7cc4,61351674,53d98d0,f91eb836,d6665778,7c6d67bb,800a1141,29700d53,194c5051,aba7ead3,ddeafabd)
+,S(f1adec8d,3d1b0d20,8bda6a86,6b8cf730,f4be50e6,2c8d993a,3556c1ce,625029b6,478324aa,c3bf6182,25bfb61b,32d47956,57e4a754,e08a978f,964741d4,1bcc7224)
+,S(ab2ef133,b1b115ac,41870cf8,d75d4aa0,e0181ca,742a8f10,f74d50a7,3924a099,a2c47b74,c584eeab,57949ef5,38c0af69,2f2baace,70a730a5,75629ab0,566a91ea)
+,S(9d4eb41a,f6da6f83,b1d20e2b,f9370868,539a617d,111b8c72,348c9b27,e0576f85,c1c7b00d,b786c84f,a8adfe90,4353305f,73acc3c7,1c2580d7,cc5d6b33,c5f30eea)
+,S(30edd57f,7b1b2c81,c886dff0,5d9e9062,a553638f,9e4311d0,18a42229,3fb916d9,6bc4774b,16d257a1,81e20b48,5acfce30,f7449e64,aa288502,d44e7c4a,44842ee7)
+,S(28e3eb9d,9a2b855,65c58fc6,a492014c,f10969a7,1e81066a,41d1c574,31306583,fc653b87,80734067,e5245c,8c150ae3,59ad3c15,df4a8e7d,dc93c8fc,dfbb6c2c)
+,S(cb984735,e3c842d0,a2fbe578,ff3e8263,5a3a8bb6,749d8e08,c91571a6,9aac75a3,e935a0cc,7181c3f5,3013f977,ad714af4,4c3e257b,e9936268,b481429b,7bea8367)
+,S(36186672,7e8307ea,eea83b10,6850dfcd,5e4d665b,20aa37a3,ed0051ab,a40fe170,ec626ed3,2ae6dc01,f5d4c710,ce2cb349,ab27cbf2,da5d924b,e32ef8d1,707a6d)
+,S(b1a40d5e,69e9f365,c2accd54,dc8267bf,4260abb2,3b503136,2183b17,4c6b7d2e,76619dab,2a7b41f5,2401ff89,4ef632eb,31eddea8,bae27c3,af04730a,3dc186ec)
+,S(abd488b3,dff60a23,e83f0ccb,22620064,b32a8f35,d4c22be2,42eb1427,15660825,6eff80f2,17dae3af,96c7a463,d1848bab,fa994904,91a1105b,e1bf7f23,840b3a89)
+,S(ac0cfb04,d91ceb48,2f497974,321bdb10,2a572115,73fe4598,c92510ca,4dd6aa22,6b5f6d87,4a90d0a9,658ae4a,64474d9a,3950314a,4662ade8,1c5e5605,274582d5)
+,S(1fa8be0f,476c4b67,697c7541,dd1d8be,a3a0bff3,552948e6,87baf11,afc34432,c6b25084,8038461e,32961d20,181c7187,fe79df6b,8f5c5e54,96ddb5ab,80788d33)
+,S(281b43c0,d3738989,a817d313,755c5f0f,f336a4d5,7e8d0ec9,b29fb425,c1f90e56,26b5070e,ba1059c9,b73e3db3,1227a6a7,68683044,7f823689,921a9bbc,bc9f4a9c)
+,S(d64e69e9,54e81ec4,7446327f,55e5a82d,3b83eb46,2a92af12,f0b2694,c88f4052,aa7ed55f,284c3ca2,9be75565,f66ea54a,27a8f00d,afaff0d5,8f394797,3dc8622a)
+,S(f4cdbaee,d4b01db1,f0b5b0c9,d6178235,483fb58c,5421ba54,17bbcd4f,e4e7b028,66d590eb,29d69904,deb9f48c,5a250089,b2b92447,8ea91302,1ddbab19,6c63b47)
+,S(8ff94c4a,6c46e334,feca809,79d21a0,761fc1cd,1de76f4c,7243ff0a,93c9dca5,123ddc33,5f3c68e3,29f42d4f,187fdcc5,77207134,a8bb777c,2ab08dae,f149abf7)
+,S(c7869b4,6e34186b,7e87c0e6,23b64fb0,efed70c4,f2af5e70,5c33ecd1,27cf267a,66295439,36620898,2f17d95d,7da2bbd7,29aefa4,69005a59,629720a7,5c11f48a)
+,S(e0ea76c6,ad5dc87,bd26ba9e,25b5041b,9836f72,6eec0142,351b2431,6cce1a4,8bd724e6,632049ab,88aa620a,78922b65,6a3a4417,c8af7dbc,5a03d4b8,d4eff928)
+,S(2fa63ac7,3e5f8982,36419f1f,4883f52c,e8e357d2,4b4aa7bf,c6aa7eb1,29e30159,57e1601c,d6323fa8,f5a5b314,6b5e5c44,7251db28,6f79d51,7d0b038e,b8d8c3fd)
+,S(74ed4038,d4c50930,22e783fc,1bb7a671,49d00877,b202012f,6aa6d32d,c73026a1,5b74f70e,65d009e8,8cc618e4,9f7bfda6,58234f80,38e9835e,80e6fd42,6b28476f)
+,S(71d6aca6,e38713dc,6ded1f93,4fdf20fa,16ce75dc,dc405148,eaefd2d8,f0025f97,b4314533,7d48dfc8,278c6c4f,b19f69d2,72ffd4d,a22dabae,dd3e60a,7067e302)
+,S(28fb47f1,6e91bc9f,9a2d5720,f40297ae,ee617ec6,897044ac,8a174acc,5bed5292,d04b6961,d72472be,4fcdb605,9943c1b4,ef8e7aed,2ba7859e,bdb84a4,f8b498f7)
+,S(68fcd5f5,c8655b5f,5d2fca79,59a7b32f,828c5a5d,e262f6f8,94270ee2,1f47a37a,57480650,33627166,c372bc4e,7a710275,7aa1ad4e,5460dfb6,d3d27f32,778d74ab)
+,S(c7617ad2,f423abc4,7ed7f8a8,a7a6002d,17c9744d,1ac6be97,49110685,95aa36da,d9904b67,fba96cad,cbe7a9db,833c614a,69e330fc,a06ca2e8,d597f657,b7121d9d)
+,S(a7ef4e9d,2396fe16,c0e78b95,5259a9d1,474fdc21,8b24e8c8,df566192,a6487cdd,d6782604,91c6be04,98c3f7e6,86f22f37,23c1e4dd,4f7655c1,f40509ef,5af67f28)
+,S(f3be7846,7ff03676,4ace420f,4091bb2e,71856d18,9e24890,eab6b436,771e2578,f3027657,45cbf3e5,67a6966f,6b27ffc1,dc58f3a,6811f309,434662bb,636dbc5)
+,S(5c947f95,5bd9ce29,5214c30,3ebf4f35,6c8d9e2a,4e173470,94d3f755,36f0259c,b6b7b775,3e7552a3,d2dfdf49,8578a24d,90a81d8d,68ef39c4,68fb5ca7,b75e76cc)
+,S(236fd960,c3b1735e,279b8702,8c25a074,2c54c189,d1040c13,4e4cf40b,bd8b2c68,9ab59bf7,c0bac18d,d0d9360e,b79a76cd,b44bacbe,b425d181,873ac390,59bbc279)
+,S(c92c9f26,17cce2f7,659d0243,8b9d8932,c1a9e9ff,ca8b0d99,cd7613b3,b1947b31,abdea94c,1a5e64eb,65e70769,51ace2b2,e4804ddf,1539d50b,725fe09b,52357a51)
+,S(986087c9,142c608c,33783a12,4d22c316,733c2ae8,bc1fbd2,8bd1a142,6da94fc0,14925bf5,fd76b51d,6be82c65,4562cdf,8f5baddc,eb26c68d,3fa6113f,ab42a1cd)
+,S(465a1f74,f4f6baad,7c644e21,f35650b6,22424e93,83b421bf,91478621,a48a1d43,26da71e4,179430bd,ee6698d5,7db01553,d41c147b,83247157,9f2fe923,c788cb48)
+,S(dd7658cd,f28117c4,4ff3c88b,d0b46adb,c7aa2ed9,1590ca00,785cee6f,5c9796b4,32317c0d,1e10e997,a74935a,8e45d27f,9a9b8ac0,f77dcf37,c1c7b340,cfcc43be)
+,S(55bd2abf,a803c49e,b4548b17,725f52fc,6222af8b,dd9aed09,715ceb87,57c72033,34ad33b3,9d7344b3,abfc603b,8dcf2a54,96b991b8,41564e35,53adfc85,3d3ebf43)
+,S(77be5c06,d10c226c,8c9616d3,15b1e1c,44006876,4189fc36,db0c88a5,ec12fcde,ccf2cbca,5c474949,88f27ae1,b0361b9c,20e8b55e,d965f7f6,ec8fd9e0,429ba01b)
+,S(fab72486,3eb6f261,f0460b19,bea7dbdd,80b890ee,d4bb5618,30db6af2,f52ab21c,914f03a,408a2e2e,aa9174ed,99d80e68,b67f6afa,fa9da5c1,5d22f74c,8876d0b0)
+,S(232a2039,fafe8b86,50a671f8,de78314a,510db65d,5cf105a1,9db8082,2a0b2f66,14ca7082,510bc1e3,533b9f6e,e216ec13,3be3a6e2,64d2e218,d95f3ec2,ad78576a)
+,S(b3482839,612a4ff7,a0584752,68f13e69,deee9fa2,894a8cfc,64e39054,1b7f58e7,722d02ed,df30025b,eb4e9fa,f7c58de1,653b8224,66b1193a,3f2fb71d,5d26ae44)
+,S(d3873a57,b0a7587,cab10871,a9322712,cf6fd84a,226dd7b2,85823996,5a353210,3b7e4984,59c7e706,cdff95b1,c55e3351,f1f45d0c,c9fc11d6,60e5e27f,5160f186)
+,S(8828788c,eeebb2b7,71d289a7,147c0a7a,26a049c3,26dcb281,cc9b2dba,162c20ad,e428a195,87425f22,3d798922,b4971c26,5da2fa2d,de4a364c,c8c65f48,c07b71a7)
+,S(79fee531,26d0c00d,74986c18,993fa174,52f8dbb4,ea75680a,37f0b3f4,ea7e537d,fde50071,3143f994,b4d7b4a1,43ab3abd,525cebbe,93d5b5a4,560017a8,802cb5b6)
+,S(f44f39f0,5a9f5f79,5f0f3a8c,e03ab50b,3672429c,bf699cba,ac1e58a8,66814e91,b95e45d1,e4de1300,950a27af,bab28bba,ff75a246,46ac70e3,fc09da30,d59a1dd4)
+,S(1138e209,baf9c9b7,b89d7d78,832cf7be,da45afbf,3c2fa148,50426ec2,80aa9abb,15c28d6a,3965b2af,ea28520,7e67f2eb,ac7d5917,9672f88,3727e499,f06a0d6e)
+,S(29d3e942,1b98d78c,60e4685a,aa503130,dcd3d3f1,5afc2620,472b83f9,34912c1e,90a514f8,49680969,215d46b6,db7c53b9,411c8c67,c88bace1,a6d45ca7,d2bf5825)
+,S(a8a36a94,5fdd33e0,4f0c18d7,cd2d4709,d6efeb88,a53fa0c7,e90969c0,84ff3eb8,1dd7f905,edbfcd70,26aedbe,1cee1cae,23db1fcd,479f02a9,bb596af5,f56ab564)
+,S(5a048ece,b3fa944f,90eab4f0,c3e7a06c,3c35f2ca,81263fd5,3670c212,6a981eff,124f1bae,b70fed65,d53caf7b,5e88077c,8e330d05,692199b2,4b3d6d4b,b7c886ff)
+,S(32070282,c5ebc2f,665ee579,c645fac4,fd1eb4ec,d7297158,3dc81288,e932b8ba,8f69662d,d68407e,dafb11ee,8842707,c17eda9a,803cbd55,b86dadf2,85bdaa17)
+,S(7c22865b,fb04d3f1,bb988a7b,80a49fe,c7810593,27a19786,db77a47e,57afe787,a02eb26e,30f599d7,d5599734,439f19cb,d0830b72,60e70d53,97f06e1,d036bd3b)
+,S(a0ba4c13,30ad8252,c06c8269,a3dcc365,fd842e5a,aaf33a4,22de13cb,b9385cc,58ecab13,5cfdbbf7,f3b6d2ce,277b9e84,940fdb14,47568960,c13290e5,fe239bc8)
+,S(42ae6042,c8a2ba5d,c8fe47a4,12e2c0cf,7be448,70e67819,4e31ec23,44f76309,72ad69ac,7ba38bf2,2210a6e7,53c64467,36ea3a23,cbc96c3c,e19f209b,dea1542e)
+,S(8f3ae8b6,45507a2e,3ea5d82f,47020739,d8f35f0c,8fc11e7c,6e802d5b,87b2a19,61bb8e35,3028ed54,1b83420e,fb9b1473,60425927,d3f9b6a5,d1d2b80,ee5b4cfe)
+,S(3a84ba4b,1e151920,a0e4fb4f,30953e6c,a7ba1e12,62ae44c0,d91b437,b05df32f,b20f6579,43525f14,7b23abe9,c90e1d0f,32c44eeb,cddc6ce7,d3cbad9e,7d3e20c0)
+,S(6481fe6c,b04a503,3ecc102b,de462e7d,7b87d181,2bc145b6,2d25fd88,e7316210,bcc1b4ab,f5f32ad0,9176538b,808c9187,d4e88b0e,aef31075,b26e5c27,8f64560d)
+,S(5340174,722c583f,af9cd365,1f73b33f,8e4bd1ca,cac0af4d,1ff13064,d551a094,e4902135,448a616d,e435180,f85d0a95,d9e4655b,aebf8a41,a3bbe221,1a66a8e)
+,S(c0693eae,a5825c4d,6c24e08b,d57bc32d,6c9ee2a7,90dcb49b,b350f852,4e2867cc,da20fb4b,7627411e,5c6c601,bcb8fb55,f4f6178a,efe0ca04,62c85d86,33b9a05e)
+,S(c51d0f73,72fd0502,d17f9200,ca189821,e63e581a,8356735c,a91b6e93,3cfa0d9d,8d10e6b2,7ed7edd,2cfff134,54eb979b,a2797a7d,3c6fb413,b3bad4c2,2e352655)
+,S(16811856,4d2d99ae,2daf79f8,58b52ad3,3666008e,d9d2c59d,be3160df,bec3290c,2bebf1a1,45617848,e81dbac3,4522cd0b,3e9cc84a,3c08602d,1adf77ba,292e7460)
+,S(7ae94933,e1438525,b2ce1622,5654aa6f,b15999a,57835a09,20a49748,7c0afeb5,91912e37,830a645a,138282a5,1e3331bd,a13b87b6,f443f901,95a2f4f5,bd9b95f5)
+,S(e7792d97,d02b76ab,2414c5f6,c2d1bf0a,c27709b0,55b2c36b,179599a1,3019d4ac,9f4d9689,5fceb179,b98c75a0,d5d56cc1,dd274614,a2816e8d,16fb98e0,ed3f2b52)
+,S(2ffb9d4,946fd63f,24cff64f,4ac79450,3d97d706,eea6c4f7,69d9e34d,3247bde1,66b1c74,34881531,2bd6907a,6e3608ea,cff18832,5576fa9f,f32257b7,eb81014f)
+,S(4544ba32,f90ceeb1,1412aafa,b4ae7351,aeb6f4ba,12e00ea3,c165c8b1,ecbb2fbe,62fbd7b4,c2a5cee8,bfb9ede9,b02dbbfc,2bba538b,834797b3,948887cb,9f8f6736)
+,S(250b01b9,25d9ffa2,75eb156d,d8c67b5e,5d981ce7,8824d37a,1b09e3e6,7918980f,ba1d924a,32f0da86,e532bcbe,6766259f,eb185161,4042c0ff,261eb81d,3e09c481)
+,S(9cf30e54,1f2a5fdc,73046807,32e962ee,62e0b813,901e30f5,ecbe1fee,abeb4d2,7cb246cd,1281b77b,19601d14,baa8ff62,848259eb,6567c741,c6bd54a3,b5510723)
+,S(edc9e8b1,3c61a1e0,8f93be12,495084ed,b5a90eca,4f11dc03,cd217b1a,56285a2c,66c2fd21,7e8fac7,4fd43b1b,58c80661,b0e8df85,a2fddfda,5e9f99fe,621e1f3d)
+,S(dd94295f,8388a498,2aaa4164,927b81ba,cae9d002,b3ddb6b6,97082c70,f1e2c66e,838c060c,d409c1ea,9bcd9e8c,b1fac83f,3b08c2b2,482d8f4b,fd3ebc18,8d6706b)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 1024
+,S(7e068e04,dfc0be48,e5c0d3b3,5bfc734e,96e96ddd,d0ac4876,92f74535,685ab7e,df2cd146,90d225c8,d04052e6,93f14bf,69351e08,79883646,2c88401e,4ec70d0a)
+,S(73a9bfcf,d10aac9b,46e659f,76c439a0,b7c2a073,7dec217a,21f43f39,949a5052,73b91529,3ea7b052,682062c,8f86cbf,bf379df6,91a9cec2,4a1424a9,b3be10dd)
+,S(efddff84,c8cc754,e6e34678,d85809bc,55cc224b,f69be05a,daa847ec,d408c55b,65dd8f41,8264aab2,efe6ed7e,c45b4ac,8aac218a,3b6713fc,1736dd6d,c2f188d5)
+,S(46a94585,7118384d,8d23d6df,a4386dd9,dc264f5b,171a7585,7565688e,bfd73f4b,3de5af7e,a298c18f,4dbf16cb,38e7f617,1e684ee8,e8df2a6d,256c011a,65aaf35c)
+,S(6890edb2,7ce3c265,d4afa17b,be160a94,45dd0c8c,9ad6d93b,910ea47f,3821cd3f,60f47c5b,10ef5494,cd8810a7,ca8802ab,7c24beea,eb67b852,dd22040f,77cbd1ab)
+,S(8cc9eb6,340b886a,81ec4b32,87a251c1,e33e68c2,1f55688d,952b44b4,2a05f5ae,9b176b0d,90e38290,8911981a,3bc475b9,f0323870,150c9c95,5078bf02,307fb6eb)
+,S(2b062f5a,da48de0b,58001cca,e96cde15,227875e0,26c94e0b,fd1fe2a,495b0475,537f1c68,3d5170c5,8097bad,4bf17276,da9de994,8eff6805,48b35390,2f1eab0d)
+,S(dd55b91a,84b3d53f,4332ff7f,224e9231,cd358bdf,27f30082,52d7a8be,bb7240f9,e6f1a08,a40b6530,ed737609,4deef969,774d2173,a3ac158b,ff681908,192a5c94)
+,S(ac5127e0,40b1a979,46c0cdb1,c782ee2c,8986fd80,d7151e75,16fc964a,f2c59c70,849e2249,323d0539,dda0a82e,1764593f,8afbb097,880af8e2,4765ea01,b7ae5db9)
+,S(df2f2eda,f0b6ce9a,3784e9ce,1e1ddae7,9d136423,153174bf,f72212c1,b5311123,b9d98f8e,bd78bc20,316da64f,46644026,fde6ab44,162027be,dbac75f6,e86d46a5)
+,S(fd83b387,d630c176,23b85e21,62113610,97bdc5f4,3fb08027,73ff93d7,a373e5f9,9a962a7d,375f35a5,9d7503d4,c0fddc9,115805bc,38438837,d3c670b6,ab6cd2ee)
+,S(d8fbdfc1,155ec8ac,8bead443,ba3feaa8,d565ca1e,4206cc95,5feb8e1,32cac4df,f9453c0f,ccb99cb4,739258ed,febf7642,7fb1fcd6,1f963abc,9cb9a5ea,751f73ac)
+,S(9fc9749a,20a3e8c0,1b309389,16aaf3d6,85f00872,b82350dd,c89110c0,dfbf86d6,a2f679a7,6c92ac59,5773bca7,8f0f18,75c85cba,e75a6379,1094a799,863e19df)
+,S(29e0e346,71a91ce9,bdabcf25,2e2196bb,65b81092,d3728f62,b58c815f,2f476a3f,2f440c61,b82e0ae4,798a35fb,9c66b261,1ce5ad0a,ab42f9d4,174bd698,d4d0c0e6)
+,S(e4068a15,398955a0,f27e6f92,9cc3dfb8,7fbee70b,a86ee78f,8736b519,ae102d7,a3f2f2ad,550f9cb6,aed99943,84a9a350,16b91143,747d4e7,7d69e698,8f165086)
+,S(51b45e10,bb1bd989,8bb156c8,a4c81978,10f16364,d3d55092,48a42028,726c9f2c,e30719d0,4225de63,281ac479,70010cc0,8a1f1d51,48c57f6b,b478c95b,e3e141a2)
+,S(14cd5d29,7b8ab6b5,e92ec2e6,6c63b3d,64dc492f,d5a0c5ac,f6fcbfa5,aaa0b83e,5bf307d7,7cdcc866,349ad1fa,fb1c7d8d,5be19270,2a46b327,9b72bd77,e3666805)
+,S(a5a8a711,49d6d146,c32254ca,e9c18288,45e9f2df,419ed68f,8c3cddb5,d22c4da6,9f47d887,7bc3d345,af4ae693,35639bf0,b003f481,7833d2d5,49c0bbad,3cbf6c2e)
+,S(359328d2,4baa4232,d75b13dd,d146624d,bda494e5,2cc778f9,99a4c0c4,1f9372cb,d31556b5,71df399e,99084afe,c8f680b,b6695d7d,648f7050,a7881acf,241af6d8)
+,S(c9eb81ca,4f2a5a2c,17268a12,d901edb0,c8fdacc1,d26c5e8,91af95bd,e673e7fd,6d4a512f,c974fe9a,711ae19c,d9bfbd6b,5acb73e5,355608df,76ed2942,488adb66)
+,S(e26631f8,16f3b308,ac4c9f90,eb6102e2,48e55730,24f41f38,6ccde5e6,c2ca8e2c,16e0b2a8,823aecd0,165e2f10,20518253,96cfb814,bd5a248,58a4615f,eb9306bd)
+,S(f76e9af3,65c0e7e5,7807b24,269c4732,677e5af9,a3b0a965,8db8355f,f99110ba,80cbf439,d26f164e,bdaf2542,385f9d65,9d174c62,96ada102,8a0cb013,bd2a9407)
+,S(dcc8145b,af891483,295d6ab6,9a88fce0,bc333d54,841e7421,e65f6270,852c5dd9,cedb3770,a620e7a9,b40d6cd1,60363bb0,296155cd,80d89480,ccac619a,f31e2a19)
+,S(7645e13a,6a1c4d0f,a56a199e,cae93018,7660bc40,41edb847,ed33fad3,c603e4fd,7c8ea51b,7990e5d5,125eccbb,5da890d2,bcfc5353,b22c42ee,1864c22c,be91e713)
+,S(ba26886e,d74cbcef,afe7210d,51c1b6bd,4658225d,45e20fb4,4222b318,9e2f3f25,fd885db2,23ddadee,9e65fa64,abba326d,e0b89627,7359e893,bdf50db8,a2b3409d)
+,S(68b500e1,31005b1d,901bda65,4a525e80,fc6578d,5e792c92,299d21a5,19050fe1,71ef7d7a,b3544a94,f3dac8e8,77da5468,8df9b127,83e02022,7e05d5f,6b12f96b)
+,S(2ccca7e2,613fa83c,27ff851f,12c6fa07,5b19f7c9,940a5064,b84ea75a,da7996ff,5ab70a22,22dd1ad0,d0db2d2f,c59390b,cf37af8f,bed4570,3c6ae0f3,27d7707f)
+,S(6d797d2d,6a56a45a,1b5af718,3cb6dca4,383ad9c0,4d5cf3c1,827f4da6,f7179f14,aae34e5,d203d18d,99e84bee,7d6f5a8b,b80e541e,15a3aea6,7b162551,e80edf3f)
+,S(aa6997c4,37be76b1,9553751a,d96a53e4,9a565a58,55f67b5,11605996,e98ee327,6034a421,9cdb40e0,9698a15b,2e2f5f1b,6532e277,a1f4f4cb,3cc0c33c,c684835)
+,S(56c40fbf,fb8e1d70,a345d53a,7b0f897e,1e62484,dc01adea,d010c5be,ba2a0f48,e9d06789,78b9290,27ba0e09,173d8ca9,676a4a78,7e299f4c,458cb6aa,46f0bd01)
+,S(db6ff6a8,3963ed7b,dc262be0,8b52c3dd,b6e1e237,2a535073,1d2903d5,17918d89,a40112fa,f30fd44,b42f6b18,c144ca0f,e248d65,d757bdc,162b7118,7d951769)
+,S(8df55701,a46f63e2,338e730d,4a543013,dcdd1173,754e5de4,151ca180,63402c6d,64cf9c9a,64b63ff0,1396ddaf,b48bbf62,b3e69665,bc89ea93,b9dd12dd,57a1c3df)
+,S(9d10bc2c,51018f57,407ae460,e5dd5e45,66485cce,de258af3,7bef48a0,1b0588a1,38ea3c08,b2a4e171,7edebe44,e03dfeb9,726b302e,aea0eac2,fcbc9389,84922c04)
+,S(13bbc875,cc07a787,2ca7a706,8201606e,560257b,fce7e66,2e4b9807,37640367,b4cd971a,47c82a66,d8ca19ac,baaf1b1e,d2ea3daf,d6f54769,7fe474b1,c0c2c708)
+,S(8f26dc37,f617b174,dc947630,d0da6dc9,1857d9a3,13c92b1e,24ec9cc9,5ea9c3e1,3848a303,1d96bf27,4e423877,6591ac44,f887f2fc,1553375b,d5cf76e0,e73f15ef)
+,S(2e1e543d,f290916f,5e55236f,660dbe13,a23e0d9b,11065041,ad3a579a,4c7b5f21,885a4527,626e05da,c10cd9f3,218434b7,947bc083,28fe2d28,ff10ad2f,b5473846)
+,S(c83c2ca3,e0509ea8,bb876936,e3eb69b5,8bed8f50,e8c7b85a,1238082c,ee3f3109,2b9602a9,bc808de2,b0b0da10,d09da554,74b75e75,5301cc0e,3b07c331,329cd5ed)
+,S(8c7903b4,e2c114e5,3264111a,ee385311,afee8b1c,90606700,578d1fab,d3d29607,dd02dad1,964df94d,1eebea9,a2a343e8,b488c401,88299b25,28d47376,f1025731)
+,S(48263c54,dd7575cc,b30adfc6,c1c1eb85,b5185786,654c89bd,a38a681d,a6569cc0,e6f107bd,dacdb528,ed98e49,a25936ea,e223ac5f,55cb7955,ddadfb88,1213167f)
+,S(6a7c050a,ea7d1f58,7918644c,63cd5d98,accb7127,c54ee274,95fb2546,16f0d2d3,fad19261,27a2646e,34bf733d,c089b0ca,f80f7383,b4bb1546,28d7256e,d821e232)
+,S(e1f0a53f,62fbc202,df9147dc,c31cb09f,ece879a,ccc5a3b,f105a198,7f5c3ea8,3930a10f,b0eea30,c314848,94037780,3968f692,fe2e5d8d,cfe920f1,e5706277)
+,S(bc0fb113,cb0fca5b,fd66efca,e8a4c866,da9b6a0a,6d4e613b,48526675,d3182b7b,e11e725e,6993eebb,d2715f69,13ecb148,37892c56,745c601,31ca1c6c,bf090f31)
+,S(1fe5a0f4,9c438f48,64bf9ebf,89eae7b7,ee7e6a1,74a134fe,266b0329,cb42f908,db8095ce,f912641c,92b3878b,cfa7b596,694514a,ce9b779b,35ad6109,c675f66c)
+,S(5de3fdb4,90167002,fa6e61aa,eabfa53c,ade6ea83,3f3c8f6d,e434320a,aa524cd4,b5cbde88,862ad6ce,b344a1dd,88d1ac29,6d7e9ca3,d5e98535,dc158579,147e08f0)
+,S(93b06993,a913dfcf,5eeb0be6,294a645a,b2964f2d,e2196073,8adbfcbc,23da54f,7836782f,856cb744,4187330e,fca3c7e2,9c151ad8,1e8b507c,4d14a14d,492ae0b8)
+,S(705740d,27d90741,e685a044,f6b055e0,9c33369b,e3815851,886b7860,8e762f0c,c4a58fbb,738d46c6,9e93193b,529f12ac,b2142b32,1fbb3c55,d3f5dc99,173d956e)
+,S(7619a000,fc485526,734a20e1,99530f0a,e5b78767,61040864,34a1a1e1,1d93e296,7f300de1,182f479c,f6fa0afe,a2ceb59,ab26f675,77203201,4f8be86d,46ebed6)
+,S(fe20f5a8,ddbb5201,6cd346fc,d281413d,cc0d54b6,384e460d,bec5428a,599ff2fe,5b488ae6,e2604871,afebe551,f9957b0d,338cf47a,b4ecae0b,ae7a92b9,242d879c)
+,S(995b9727,ba7e52cf,2dd29e07,73c751f9,70768121,8ab88b84,422e1e3f,42ad11e2,c3c9ddc9,7ee41468,c4ec5e5f,529bd8b8,49c8d585,f905b91f,42af5c6d,2f7fd26e)
+,S(cb4f2e4d,2ca94d7c,79e91344,55161921,636d26a0,d84c2a16,e267c242,702b3136,215eb6ee,394940e6,cf00df48,f7e2b8b,1b9b2f71,7a68ee49,bbb879de,803ddb9b)
+,S(ca0a2a56,34b49144,bacb1070,7668eb67,4572b69d,5e1a4e6f,c722c256,b9fce397,92079cc9,74ab2fbb,a5098c85,56ada7a7,6e2562a7,bdb5ebf,e958eb82,d3f4841b)
+,S(fb82332d,c6c0c0af,d72f27a0,24ef163a,bfadde89,67b4c246,acd6b922,e3af7c7b,1a697119,f21cb690,338beaa5,2e2c4b1b,2b90d399,19ccf0c6,60dc540c,a934c7ee)
+,S(d056ee05,d9258def,20e184a4,e2018bd6,d07550a0,63db4673,6afec42a,5c513dd2,af2c1d0,d222e356,67e7cfb6,201ad727,89ab0fc4,d68dc31c,276d998c,bc15bffb)
+,S(3fadb222,c6584262,c4046c59,4b778635,c6325712,cd828726,7aea1253,42526f12,da5c8c07,fa6811d3,84ca7e8b,fa1d74b7,d181e0e1,eab86717,58666b7e,c199ae96)
+,S(d27ac969,e222e50e,5dd915dd,39d3e453,214b818e,fb67e924,8ab4263b,1d9c4b61,c4857694,baead305,6e6709a3,28403236,9a7c55a,d81e7f6f,9b494a76,cb3a1c7f)
+,S(412379b4,8b981ae6,a5fa4324,bffd69ef,99cd3a01,91a1acbc,d9340f01,72c565d4,f24036c9,c7dbe4f0,2ca523e7,ebe6ab57,c755053b,245523ab,ac9d3e87,fcfa280e)
+,S(d8234eaa,99374c13,b9a8cc3b,663d00a5,bef7909f,b21243ea,ce9dfaa3,f79336f1,b8cbe8e,c4b465f6,6a3c1593,292babc,1845d8f9,1dc80e5c,b1ff904b,6e755c27)
+,S(426f8b35,68c5ff9c,bac0ea34,9d8d3c00,427d323a,3d877bbe,47fbaf2a,5d189009,4e02293d,ce023c7b,9c7a1ba7,27cb82b9,9931f57f,78853bfd,7dc4399c,bd00586d)
+,S(f1c706f9,2ee5f2c,2412a7fd,c9ca5c79,8717576e,c780f6cc,fe72760a,4497dfa5,c5e1a1a1,727f55c3,b3978700,51a09b84,9ef75895,d6b9c4d5,9f85cfac,2bb7e740)
+,S(84e2e07e,cc1d5987,968d6682,525356b7,5982001e,67598b67,608f1869,36c2c679,41ab1343,8ab5ecdc,cbe75a8a,b7fceba5,2903f4f6,f5b43bb6,28173866,cc28555a)
+,S(7935eec2,fe535823,44abb699,3a18cf6a,3d599b0b,ef0f6068,9c689b40,76ad2b54,ce2fc96a,ab978861,b6ced574,fe4f5c85,b77480ad,e3d75b40,6c4cfbd5,53371910)
+,S(d542a4a8,319f6d56,b79abbef,9da3a009,3e8c2689,421e3839,27aa6a30,b0dbd9a0,5104a162,65d285ea,8f99f3e9,c1951a06,6badb70c,985877a4,f1979aec,7b8173e1)
+,S(bc692619,42289890,4af0157,a038126c,41011b9,26fb232f,d3c27d9a,44ece2be,8e2f10c1,47e2a630,9372e854,3cb8ef77,11e2022e,db25f4f9,847369c7,fe52f3bc)
+,S(ebe1b736,bb178c08,deacdd80,b48ab650,ae079a90,95f43e51,f4521bf5,d18d8d03,ad81c659,b1450de,45f78ef4,b2a8126b,782f2061,fc8eebbb,cd0a2ea,cddb7514)
+,S(e626b908,49e1853e,4fdf887a,df8f0562,666d094a,9382be7b,de152dec,b9e2774c,90cf55da,a4192a27,caab406,2cfb8758,2dca7342,c59627c3,f513ff9,f4834ea)
+,S(fba7a057,ba048792,2313b8b5,ba4514f0,d8f571c,bc7ac0b6,1a987a9c,e4381e67,7d2af7fc,142653ba,bf05133f,958a57eb,7cea5b90,ee5300f7,18cee7ae,d69ec44a)
+,S(144cdb95,5b5d5181,5a2e5bdb,57033e67,239735a,456579ea,1e3be689,94c35a54,e6016f89,e896fc59,80150d2b,8135b4b,ed0a108f,8a2eaa83,91987a77,6253f1e6)
+,S(538de6e,e7ab1b5e,cd74a2d1,a9599d9f,ad28cd8f,2679eb6,81c25e1f,183c0a24,36c0a747,79611193,5bdbac87,d5b38a05,2482b973,213d0960,1de8404b,14121004)
+,S(76914f0f,d28f73ee,20ca3806,263b757c,7876eba7,54bef2e,9d10615a,ebc03794,6de24dca,e16855bf,22355786,1626c62c,59330752,f9f8808e,c3930680,33a12642)
+,S(69915e6c,f675f7da,f595f7f9,6c912f29,86bee7bb,aa5800af,27e32baa,9e34e4a7,6094fbc0,2f109855,77b53c91,8dd2da3b,139bc31b,77674d56,df72cf22,2b9513c9)
+,S(4ee6c20c,900bd4fd,be942dcf,db91182e,2c37eb35,e4287e5d,859ba847,18ce3015,84ac9769,863d618c,4b738e66,8c293d3d,42e2a9c6,4c47cf75,90ed50f3,2062cd64)
+,S(a6813c1a,f57bf8a3,8ece11dc,a4c8c581,aa598211,af9ec6a,d2271796,88a0fa61,6420274d,f4e29631,5b7e2335,e98fb2f1,d415c99b,dc5a00e1,d182e809,5b8edca4)
+,S(421003b7,107b2897,24dfc743,275db49e,69d91077,6ee53d6c,fdfe6ab,710fce84,cb955569,7b924395,c31cb149,88bcfea6,a932087,3aa8002a,c218f33c,76f9427f)
+,S(9cb19e1,cb8c4fc,4009d362,eacf5f25,5e125298,5b546df8,fc60bdc6,48c8c522,227015d3,2c6ee68b,63e20e70,ed7cff86,8fd286e0,905bf623,1b7e894e,c7d70d12)
+,S(c7413596,8193588f,38f412d6,4e2ce0cb,c4a7ac4b,75e33704,36236362,8bb953c2,7bee7fa0,1b7cc4d6,d22dd4c9,ec16b39,5e1d70f2,52778801,9ae75ef4,a908aa6b)
+,S(2a8e8a05,321f4926,e8fac1ea,8a97cc64,c2f8e398,e86ecec,9dc2e676,61df22cc,63b86507,4e4fdcaa,acb60c21,c0d3f813,64f0c007,faff7780,9c81fbdb,981fae42)
+,S(f3ef2e60,7d403594,48aab014,ea8e2dca,5af1d8c7,c6f66127,3552293e,d497a14d,dfcd5334,214b9f44,bc5d1d96,49d78c15,9e9ce44b,f43dbca9,c637c31d,622cccc9)
+,S(6d5c41c8,169c33a5,d1111b36,1b1d6713,a9396424,bbfeb65a,80e40280,4857ead9,4c1f74c4,9f01bc2a,27a91d37,f59bde,3d674220,a521aa4a,6a0c548a,a45e84c8)
+,S(5d812a61,c6a986b0,2c5982ce,34fd478d,60822322,47e07c73,488c71f4,4afff85c,37083f7b,16018fc4,25749e16,4c923484,680b1517,8bed41fd,cc8da253,ffa960b8)
+,S(e01596ec,b82ff347,c3ba9710,82911855,720177a6,9efa7d5,dc6aa847,7f73093e,a674c832,849884b9,d38da5d0,6a58e4a7,a17acac1,8776577e,5547eb3b,b45b3bdd)
+,S(67a5a900,313ff2e,7b32fcae,adcff7f0,ad52b960,ef6b0d0b,8344402c,9980f55,e77efddb,5e8e8865,eb807575,37c41e0c,9fdf928a,eb8b6a03,f41703c9,3c0a4a02)
+,S(2b96879c,2e2d0ad8,281c1647,7de62583,53d77db3,57281c21,7df0d7c3,6466b277,dd5d3473,43bac32b,cc72408f,64a9fe7e,7e0dae06,786a7074,3cbbc846,80b62b25)
+,S(ab94378d,f08748d7,2df137ae,a3e3e123,639b054b,fb726bad,825e2d9c,310367e9,5785ce24,40037d11,a8331865,c78ddaf5,7f9d769f,f2df11c9,9e3dd018,43a10f03)
+,S(70782556,fd6fde3,8c93def6,ca3b6c8d,2f3fd4db,87be4985,fa3aabb0,43e7439f,7913bf65,ecf15020,cc5274b4,8eaf5351,51894bd8,fa236af,8f9b3fb8,178ebec7)
+,S(3025d070,138bd507,b338c72c,1024a3f7,6b4d5e80,efcedeb3,e71a018b,77ca3942,3a8a6a0e,175eff95,a94172b5,f2a4ee53,8d503295,63a5b096,f83dd669,eb470ae)
+,S(3fe372d0,65e97abb,94069e7b,2a8d01e6,576081a1,93897ac9,901a3d18,b9ab0b6,2efcee92,3154dcc0,377315e4,1d67b5a4,82403552,ce260c2d,4c1020a2,54842e5a)
+,S(368c7011,3a9133ee,97ebe8f9,cc06bd7f,c3c373e0,da810164,bce5a30,2af55636,21bd40fa,4870a8e1,6f28b942,bc169712,eb7d70e5,a6faa4a1,35bf86b4,d06162a8)
+,S(7df8ffd8,beb45e4e,1e440f23,ad6d713,57682f68,e54fd003,87eeac94,ecd96810,3d9e4cf9,908e5a99,44857d78,94c7ffe7,dc55550d,a07d3c9,ec07667d,982ed0df)
+,S(cb6ad939,eb49c7ee,7c216262,49b11276,88269172,504fb8bb,dd2dbf7d,b6f23d4,ec8604db,18f27367,de1319c4,59f8e668,5480ca65,e1789cb3,45e0018e,ea98346d)
+,S(5ae526c8,fc319e6,e054e6a7,59d9b205,d8a1e042,e684c53d,39098f28,70f4265a,da1e1281,14c25a90,cff3ef80,d5577c08,a03f4bab,d9e33850,f2488617,d50a9a63)
+,S(868d7889,6ddbacc,1bbf2b10,e00456d6,17477767,5b8d3323,a8786ae7,25ff7661,d92d681d,189b0df8,e2be57ba,a9c146f6,46e6ce48,342a0ef2,96fc3093,af22ca1d)
+,S(9f2f0b4d,e7b881b6,c4dd1f8a,74106a32,23bd3298,47c325a4,8341d899,d7686b74,6fbbd511,c2974af8,b5729ca6,658562f2,deca285c,b47f16e3,c444fc14,8e440088)
+,S(faaf222b,813b0df1,5bf2da98,3ee2eaf6,c522f5eb,e8c08b4f,e6950376,d3fca8a3,bec53e69,2e98dac6,8fb2ae87,44f12abd,47f00e6c,5d6d1469,b2cdb41d,440b472e)
+,S(7f5209b9,db4ab9fa,2c2a7ab7,6c5c62f,13c81c80,a4ec4008,fd67d229,a7161475,a13d6cda,f9e8699f,f397d1c7,6f191cd8,a58be40b,9acc4ce4,e69cea0b,4a48d193)
+,S(f436156e,80b136f0,8065f395,e2700a14,50c7b492,405a0c04,6834bf4f,12c84c2a,cdd957b0,5684e01b,a760807d,39b007e8,e7aa890b,8882a0e5,9118951b,bd7e60c4)
+,S(ef9aa749,5c5b37d8,2060c2bb,3454fa6,88216754,2b24d69f,201f1c31,3cf1d06e,f840da4d,f1d84a8f,ac125750,e4e6cd7c,50003aef,d1f77666,54ccf4ca,f27a4aa9)
+,S(7deedc43,e96eb93a,c290809c,25e7936d,6d9e1cc8,a5971d40,b122896f,fb5de05a,e65c0e66,27b9d0e4,e7b349,ccf12fcd,de6683fb,6bc93381,22026b65,26a8e0ce)
+,S(5a1bef15,6669795c,47be7495,582f361d,878384f4,f283e15c,e74b3ce,986d6459,ce985a81,1fdb02b2,9e35b97e,1833e380,69b28b81,ddf8cd61,b1179c47,2ccf39ff)
+,S(d8123d39,233413c2,b14eeb78,983c6fad,73b8fdcf,84b2383b,fa453558,e525fa8e,ea9d399d,905b7200,46ff78a5,abb3cb56,835e35a3,c958095,ea226947,a633ef73)
+,S(62f43dd4,f1f4c310,266a36c3,909afb5f,10d3dfd1,a7a6b5d8,93931334,e4d4bc8,bb7589f1,f83bd647,2e34fe22,53a101f2,75525829,daa2e8ef,89fa1dcb,b590f3ed)
+,S(6cf371,d549c045,1415aa75,cf594d4,865f6e44,6f62df4f,cc1cf312,f79d72f7,f8ceb62b,5c979bd2,82a4ce20,682b45a0,2b3dee9d,68ce16a,7581adc5,c9e93af4)
+,S(5bd7b780,770be9c3,7c1638dd,8f954086,49aeb371,516bdf3c,509efc5b,47cdd7e7,d46c7848,8a87aaf4,f606b91c,5add0c25,efc12c03,2a28b1e3,2190999,286ba9ff)
+,S(c7704954,a319bd4a,e5a08665,3b959ba0,81eecd7f,f15681af,e6bf3db,c36b6a62,373543e8,24784ba8,3f53b9c6,189ccc4b,e508f600,b15c7378,36e3b3ca,516d0fe7)
+,S(2b4f27fe,41533a9d,d807da70,7102c1ee,d6e92c8d,9e43958,8fedc6d0,39b19cda,98ba8310,ecd7cb1,c11fadd4,a92f4c30,49ba2180,24015d6b,89e2ad9,f81fb424)
+,S(e7d4171,b3dc34d,2600c581,d6931f97,2c920c81,3d7c3db5,4d306c8a,5d4c0e5a,b29581ba,9a825387,99fa97ef,b5a6c4a3,3e75b71,d1cd51f7,5b6144f2,4a9a409a)
+,S(6203022c,18f43577,5270043,56a2717f,2face761,e806e84b,2b5660d5,f1c5d52e,18a52f25,5d0a4d75,275fe97,3542b97e,212efd6,aa8864eb,6c80865,136a720d)
+,S(bd81c7a2,8c1c80db,a0e327fe,3b0fccca,48987679,791e6630,e81c004,92e43b2b,ca50a84e,a14bbc64,9e0831f0,7f185536,416064ac,e93a8678,db1e2347,803871c0)
+,S(9bc43e1a,d3c1390f,cd1385cd,603a6e0d,b875eb4e,6f3a554a,626a9b4,fc4bc29a,857a58bf,9aa54bb5,7acd8b34,b79717b2,64ea39bd,d8f4a22e,6b12e6a6,e0cb2cd4)
+,S(3055a68d,194de3c7,9ef0117c,b98bfaa1,5e5bfb71,c656f908,2c8769cc,a7e40f33,183f9ea,dfebe1c4,bf0218cf,b6aba6bc,acbd8c72,a7fe086c,1c9233e4,340d1d10)
+,S(4adbf984,ad1fd188,c9271072,43583b80,2cec1231,7d8bbe1b,71079fbb,734b08ac,14527188,9560ceff,3d950766,8e3f2d0b,2192ceb6,f79f5954,7094d5e3,d7ec04e6)
+,S(38f72dcc,27e041d9,c7bae397,9cf16d22,83fc6a36,aa074b0c,d00651d1,a56487cc,5238c97c,33a106e4,1370d6f2,c0b6ffc6,49610444,2e51988d,f7160c3a,933dc0bf)
+,S(de55bd8a,7bdffde0,a1413828,ac59ff2a,4560647,47c27813,322188c6,655be2d3,477861b0,df5b25f3,75f9d097,97b0afb7,67bf9d51,b996d51c,e65d3bb5,42d9da)
+,S(c617bcfd,c47e02b8,918edf98,666fe912,e19340ea,6c567893,8739b89e,5e3bcc66,b90ba117,357e7683,2ae0f4e8,644cfc49,a6e04672,b5b08d47,3b826349,65117072)
+,S(4655c196,1b5188c9,4b6402f1,e92b3033,c455f4db,ecadb672,4adab3bb,f1c84758,3ceecc93,a2575f4d,fb202df4,f4bc05ea,714600c0,28389b5c,f2c1c6dd,e6fbc4a0)
+,S(fca90f40,dc05e5ad,3693c503,fab43da0,110df431,9c1dc4c9,e5f86e8d,d7726a45,f5822f9b,be3e6604,1af37aeb,19a70a6e,7478edec,68c8e1c3,e6cc86fc,5f5771ca)
+,S(3176cc4a,dcb28258,779e88d7,f90d3b3e,a31cbe05,78c7cafb,93ff151b,d27f61e9,3863f2cc,148a0a43,c94fe7bb,afb5ab5b,6a18ce44,56cd06aa,c340c231,42cc0135)
+,S(63269f73,d124210a,d070db15,14f82cc5,51d9c19c,d31a54e0,b811e650,ebb2ddc4,bf8ec7dd,8a787a42,4a74114e,5088c387,38246bc,3f6aa188,e300f0db,d85cd0ac)
+,S(679a1d32,8d0f53b6,1ae7f544,541326a8,f07e749,34dd2708,dee3ce54,632003d0,83ca1348,8f21eca3,11be341d,5f6ee9a6,c9b3eb55,c9a3485c,349018a,725c350f)
+,S(69a27d79,29982c84,d3948568,a54d8933,f7172f9d,e80276fb,846cf399,e0b38b28,f411d207,cb0f0bb8,574b16a1,22f39bd7,69c8b7f5,ac2db4f3,a02163e4,3bb26168)
+,S(298d5057,1af5042,cbff2171,6029cef2,abfdabb9,cafebc7f,9dd56c8f,6773ee4d,f4343e71,d271844e,412e62c4,bf6dc36f,4271bda7,9ccfa220,75e3c055,aa97e9e1)
+,S(3f2983da,46d1f101,8f8eb984,5bcf3930,e26f66e4,544f63b1,f8f8b979,200c4653,4973a914,c4ad33b1,36d57e6,b326d380,9b2c38bc,79d81b53,b26c5995,9d71db0)
+,S(f836fd3e,30ceb88d,942d64b2,a1d2a6f9,54412ea1,ef6a3b13,59faa8bf,7e3538dd,720a3081,53476b5a,709fd29c,158b7720,c8161ee3,6e6aba3,b28e0282,cf7f9367)
+,S(dd72eb9b,911e38a2,63bc8ee4,fe991fe9,295ed522,1eef930,b3ae2df2,ef583a,2a0da5a5,688bf7f9,79285d9b,360b53b2,398e86b1,43f10b86,83cb40c9,40c1b2ef)
+,S(551e2650,46ab255c,c427bd81,8258b7f3,7cef92a4,496119be,283f033,4968a619,317c33d2,4cd8f35b,9b86a5ec,d1582a6e,e5ca16aa,3c6ea23b,2007a370,e7bc4f30)
+,S(6683de92,131de3d0,ecb19a30,47825591,ab28cb61,5c852a90,fbd3ad78,5336c650,49eea58e,7fd95523,f8a9556e,c46fa0e4,b3c3b2c2,8e5d9e4,d636d089,282225f8)
+,S(b5b3b1e2,84a6ea65,e0a9b146,e8f895e9,ca99ef3d,31a4bac7,bea49c89,3cf97805,a1720a94,f333e296,f2b91437,e19500be,3cf16cc3,547e9667,ffa4ee88,e5b6fe0d)
+,S(a5019773,7c337684,9709a232,9718d463,ccdde43a,55350d10,11a2401f,9bcbf466,9cc069e,ffefc5dd,e8fa5e09,b6b751eb,c51fff8c,fbf3c27e,12efad87,a9d429e2)
+,S(9ec3498f,eb2bd861,42841b66,3b1c58b2,e5cb7224,88e2f849,e1236b63,ec1588fb,e00c91a5,e14b97f0,362719bf,2150dfed,e517e585,a807333b,a000652f,c1f5f12)
+,S(e10b6cb4,adc13185,750b446b,ab926667,581f97bc,5aaf04b1,f4731abe,f3c5b6b2,53a51213,7db20477,f3a87bba,5b65c01d,d5520b42,f2660ed3,c1f5fdc8,35e2b9c3)
+,S(b754a967,e36ea7c7,98c93691,e02b6043,60ace927,13b18d0d,3ff61ce1,dd3ae314,8a9a3963,9aa7ee59,a42f8d5f,bab01e50,d83ee029,933cf59b,e12b82a1,5473d849)
+,S(5fefcb61,c10cbf3e,6f8a51e,6bea569d,7999a275,6340ac8d,489183ff,32efa869,d81b3093,cbc4835c,1d88c093,28c20541,dfe49950,9b349207,15bbe1bf,4e881e83)
+,S(fe51a3bb,4ac97e1,96009400,b27c8995,f0ed6f0a,b29b9184,70aa442f,27d2d848,8568fce0,a4c39e44,f2b8aaf,59f0b183,d306254f,83cbd6,ec5fd568,c9116a58)
+,S(6a3e4629,9fccfedb,c58d5d38,aeb2a420,391df798,e447558d,7b591466,fab7dee3,1bed8fba,7bb15d9d,d42e7b5a,3ab1d9e6,89873eb9,e3161a91,aec3ee9b,22a5e548)
+,S(adfdbcb8,3c40d4de,f7d62d97,e16bd32,33db304d,392492ee,7457ffc8,97450c37,7b082bdc,163549ec,2a8b588c,4156ac23,8fde7819,2e1cc195,6be85b87,f4138e0e)
+,S(96850fcc,9c202c54,83654c27,2d17011,509ed7dc,6ecc6cb9,f06c3dd5,113bf61,10404432,7f966c49,af0c05da,c7ec18b5,b9fcc455,a01c3b6c,88b8b0,d281aaf7)
+,S(2ae21197,8f78ca14,d88151ca,804379a7,1703f514,166f3ac4,f09409b5,5c458bbe,4de74cd9,576035fd,451c7dde,387961ce,2328e327,fa0312c8,6cbc9dc4,19ecf7b1)
+,S(edc18742,e1b5c996,2661a332,cd62c426,7e5816e3,c52746cf,b79eac61,1a987e57,80003b3f,c63309bf,3f9d484f,ebabe579,29ba9032,30311bc0,2c021a34,5b4fe5e)
+,S(7802aa2a,5fa0f0ae,29a90885,c8b94368,38b35d49,843765aa,1d6a640c,fe43a244,c7f329f,e63239a8,407297e0,416c49bb,7e3dda11,85baa5dd,7f5f7167,9192a803)
+,S(fb774579,b124475a,c36ede71,2e3fc5aa,c2173de8,35e72386,bf67bf7f,992335cf,c0e66b51,63c17b7a,e43ebf0e,31a8d641,b6f413a6,b763ac01,cdfcbcc0,47a82c94)
+,S(d81a3d8a,43abae9e,32f94881,fe9c1200,695a9c24,a31b6982,51e21b3,fcbc2852,630dd811,e8a8cb6d,7bf51de7,e0a98db5,a693e3a3,c9064dbf,2ccf6bf2,dd12673f)
+,S(519fcfd4,97cf068b,804da0c7,e2268cda,7cb2eda0,4be5249f,9bf776b7,c7324cf0,bec6f4cd,198ab3eb,be691646,6e44ab9f,a357c8ec,3bca391d,c20e6ffc,9562fdb9)
+,S(cc4ad3e4,8fd66073,5e193853,e0f9b1c2,3e31b284,e2770441,24f9296f,868ef592,88af158d,8583c474,7d5520ac,67b03c75,9b12151e,db25af68,996263ad,d783c27b)
+,S(add950ae,6f5186a5,98b40cf9,64ded6ea,c06a57a1,4b85de33,8f709034,78d24117,c59ca4bd,2d69285c,debd6853,a0bec744,111f6dfc,7004d65b,c047bff4,a3affa7d)
+,S(dc071b45,43097de7,12bc8173,cb358af,ef0437c6,7c4927dd,d0bc3f6d,bab383e4,793912a9,899b304c,173b2adf,c187dfbf,f28fcaa0,fb11b85f,9e410b40,e95ca8ed)
+,S(5dce337e,6db6099d,a9c37da4,a96b7a72,fd97a672,47f6babe,94d79b1a,aec167c7,1b887fba,1f098a43,b6482991,f16ba2a0,eb35bf56,64eb21d5,7549dbd6,4e4377f6)
+,S(516eb6ad,8493a662,6d22ead8,e808982,900a83f4,3e6109e5,ba284cf9,e1f5cfcb,ca350ab3,8085b46f,48d8308c,61d3f947,ef6a8511,bb36fe3c,68d30fef,ece05042)
+,S(f767c150,3b1f2da1,e5b91211,4e917c87,732b3fb8,8c860a3,35af1c7c,f00e5e75,3ecef8c8,cdbe467b,888f64a2,655ddab5,9ec610e,153cd657,95bb473d,a1aaab54)
+,S(f9bbebcf,f792c8c,a7bbc5d8,f177de7a,4185582c,2cc65e75,31f3ac26,73c977f0,290ab4fe,fecb3a26,256f767b,8a19e55f,ac751eaa,acecaf52,b8c99657,49614a85)
+,S(c6bfe1fe,be5c8db1,f55bff42,c123df61,6ec3adbc,c9b08e8e,af477fcf,4d47c45f,c595f882,d6d6a2ff,d832eddc,95679890,41c27101,347ea995,c79ad56c,d641792f)
+,S(56c2d771,808fb4c8,71dcfe6e,5170bb47,c5559521,8b872425,761829e5,e0d3ce1e,6de72ae6,9e03e626,fdca9188,9e721c61,12ec15af,7163629f,5ee0fc9f,540468ba)
+,S(20218b05,ec9f5be5,87a96d8c,3c0cf7d2,da9ecffe,fc604fb5,66a3667,5109d663,2ec1a7c2,c5357e24,1f2ea0aa,7a7321ae,b41bfa3a,88b42e12,e79283bb,ef8f6993)
+,S(3a089269,a04ccd9,5bfdb4f3,3494aff3,519035f4,bb3a4f09,e2afcaff,976be4ee,e5680e25,fb0ba1fe,91693757,b3404b32,bbeba22,640da757,ed91ad85,6842d1a2)
+,S(8f9f2296,a0cd8b53,db0fd0f2,59860496,dfd3e101,b2975a2e,2856523a,f45b3f07,61c15907,2cacdf31,b229015c,d6290d77,8ab3be0a,57785920,a3fb5722,b5c625b5)
+,S(86580be8,695bda97,cd1599b2,6d4b6328,97e2b90,d1ea106c,836f474c,fe88070e,abae68a1,7e19ac58,38a2fe5f,d07dc7ee,2bb220a8,9dba4ac6,166c51ab,b17d7d21)
+,S(fb6ac38a,1e69d589,ecc5b4f0,e57aa1e5,eb1f9458,fb187d04,8c72dd29,72b4d762,d601dd16,bec271f3,16f1d3af,2b82b5cb,e5d1806f,b960014,7fb01301,86ac32c1)
+,S(7c10606b,c54fea81,bf3aec94,72bb09ce,c5bb7d31,b66e27b4,242b8dbe,7ea5f0b0,12215180,d3d65643,76583987,240b445a,2ea522a,3e0250ab,d14d77db,bdf68f54)
+,S(85e6ab94,833593bc,74c7822b,1d9f384a,740a5be6,3b846495,2042b017,2d52a1a6,f5c160d0,68d6f86a,8f651213,8cd28e3e,d6e69fcc,dc75f0f9,81fe5ebe,1fae93a)
+,S(7e1e2d3a,99cd1ba0,51b74ea0,e5471f50,5e626aec,b880ca27,f02113ad,ff51cfe5,413ec82e,e9d4fe37,8c232229,136f1ade,c1eb96ce,c0062997,81f4b009,9dad89bc)
+,S(589640ad,813735f2,ed7a08dd,6931c61d,6a9490ac,729c2bd2,928ebd01,e87aaacd,89d6b10b,8a89fb4b,3679fc33,96c4cd5,7a1e909b,e343ee15,c1a02719,20485429)
+,S(7080cf4f,f3465ce8,fdcdb0ef,3741c19d,91fdd7d4,44118c5d,7b7ad040,5e6e6608,7a3f0da9,5cbc0ba0,b5c6d334,f80db1d8,3033489d,34143d34,7dfad89f,8e2441fe)
+,S(bb660b4c,2d400269,2dd96bd4,d7737c31,91deb03,6553e61c,7d59a876,26917c55,b494ad13,a7560497,6068403,15e8b86f,f150af11,18dc02fa,f5ea3f40,c0983c24)
+,S(73a241ec,7ebf15b2,4408161c,5d8a5c65,3f4f4fb0,8cddae0c,1e2c506d,9f221b27,80534bb4,33a0a56f,78486504,1d480d8f,64bbe192,a2f6f32b,5e1bc175,d463640a)
+,S(fdc1ef51,f08bfdbc,7705741e,6a2b58bf,9e45f202,c3d7ba6f,89a15aaa,78b1fe07,7e9d00dc,dc1e4878,647ac05b,55832540,1684f714,755f4e36,880e5a0e,996c0586)
+,S(204842cb,a0ce5cc1,3ab44736,ea0e33df,a15ab13a,912687bc,6d6733d3,a33618af,afc92205,a6e991cb,fad18741,818a94f2,9e1804dc,2145ba35,896f92ac,c96bd521)
+,S(a03a9c1e,f82c3151,81009567,50486869,a47c4a99,83bad93e,b2bcb60,157ed768,786f9164,fb9c6980,eef3e5ee,d9a43b8b,2158ba2,dcd8663c,a26cf19f,f6090a65)
+,S(5e3b6e5f,6cb41784,6355e3ff,7da813cd,fa18bd42,c54565ba,ee19b15b,dbc00ed2,b9c3a553,42bf2284,fc3b8f9f,88d3e4d9,9d6f358a,c5c8acfd,e340036c,42ee603f)
+,S(19b0960e,82d1280,663dfbd6,efb2746c,abf76476,1029a54b,154385c,a05dbc70,f8b28bbc,440112a9,45f35645,135d041d,33df5ded,92116f31,2d2664f4,e5504773)
+,S(1061e900,7597bafe,74b9b274,ba1a22cc,6f1c2d1d,b6be8d05,9876638,dff3677e,707ac922,dec592ec,44d7b59e,be2518a5,fe2ffff1,4cf4cfa9,8155c781,21444b21)
+,S(c9184c11,60fc7d87,5439b567,69a0e501,cc0e221e,3b155f57,9a71cf1,f3030b85,880b69e3,7c04689f,d6dd30f8,75f23899,8e83e594,9fb1ee30,8c43e982,28327805)
+,S(a35fb304,4dec52cd,8fc5af94,e6c26ba5,c8fa2364,2622af12,d37559ff,4374cf04,1544f375,692a3584,ac7adcb9,a3422dcf,8b360471,85326840,42dd755c,112242fd)
+,S(ba8c03ad,60ffebe8,118efbe8,eb130f6a,1b2c501a,78000a8c,1b204bd1,b90929ca,e95ef729,a3f341e0,faf73211,2f7800ab,65b88d47,ae137722,f11369c6,e3aaafbe)
+,S(d2ba5755,842d8a77,97fba189,f49a010a,fe08495f,5e64bba3,361d1b52,8f30ddb9,da3669b1,cad179f,784bc5f0,c3a55d60,549e72c,390b7d47,7c030bfa,53df7957)
+,S(3e04eb58,7ec988b2,77b1d2b2,880ccb24,d3de1579,54ac994a,86db9ae,6c8703f2,fa412113,e6dc85d9,eeb1d650,3df96fbc,ff3c6089,cc5c207b,b98cdb4f,e728dd9c)
+,S(efe5bb42,4339a49d,3e19aefa,91f466d6,60c9f120,5df91ca1,7a0da3c2,699fe7f6,98c6212f,fb39640f,cea21db2,97cf9fc5,e3576b0a,7cb4408f,f9e3e9d3,245156e9)
+,S(a29442e5,a330336d,eefe6591,5c4e0ea7,bca2dc2d,9816c8a3,2bd66a4,baa0908b,a1bf8829,7320e47c,3b774c13,a6fb9e6,dc5e7789,44666311,2db427a9,dea135e6)
+,S(454bccba,6f7225f6,a91f632d,1c9218b1,48e877ff,8018d371,4da8aa88,f08bb792,da0ded31,2d532b01,60a1106b,202ea0dd,8157753d,a07e0e3e,918958b7,45ec713c)
+,S(3163940,32c39566,cb0631af,a2505404,56573782,e940dfce,d425834c,dcc2dca9,18c561c4,1b15b0d1,a477464c,6f4d668a,67f0895f,a55544dd,8445a8db,cfcc5fc7)
+,S(54b5375f,53f07bf2,f15fced,ffc7132d,5240893a,3bce0a92,bc4fc884,49b07703,31be2b3f,a944251,e52922bd,fa2ea218,f5df11c6,d67226a7,b3f163ee,61abdee7)
+,S(283ce31b,745d067,2bfb9b6a,694da3cc,de9033c4,639e8328,d2b7ee6,58b3bd,f6a948a4,d452bb56,e3dc24e7,6e81d2c9,dc1c7aa,67aab38f,f9d20044,d8c0245a)
+,S(b5e74f53,117ba754,7b12419c,b0494579,48d5f831,624bb3e3,a60167f2,10e99967,5f635754,d635f9aa,a83c22e8,9f383008,3da8331f,4cfd9b5e,10d48280,718dd3e6)
+,S(681e5f32,cfa33183,170dc776,fcd51daf,d587c34b,1cd27134,a856713,cbf83080,c587d8b8,d144e4dd,7b4361d9,b7fcf30a,76f646ef,fbe390e3,8f241a54,7279266a)
+,S(1fba5eb7,722f289f,2521ec17,d05df56d,2f28b221,5ff8c621,b925a5fd,29f1d0c,df1140d9,97ecfd4d,fa7f287e,fcacb66a,34283b63,5b2bb7d1,524dcbe9,eb11f5ba)
+,S(38bff4b0,df378b3c,ed38fc5a,733f1bce,17855b64,cc254f20,31e1300a,6a0d0a77,6d4f065d,f634296e,64c485ee,32537475,f35a5065,e73bfdc2,520dca1c,6606b1be)
+,S(707013c3,59a9264b,be4050d5,27b5798f,779df8a0,77cc95ed,6e08f74e,e57de831,b9f379a0,315386c0,657b8dcc,53cd98ae,582313a7,632e4c3f,da9c9157,14ea422)
+,S(ad94ed2f,70282484,e490abbb,320905ab,fc5b8c91,9de6535a,73da3f63,45642ef5,9dbe8813,a554e1f3,e98011fe,c6545216,fdf4973,6d026bd6,cb8702c2,aac88457)
+,S(47b56de4,e991876a,499ad155,2443785c,fd174f87,58b881f5,4f545584,ff62612e,a140537,5855beb7,7c56117a,5f753777,383d92d2,d4912d9,86bd59a5,7cefdced)
+,S(51bce64e,9291a693,1f24643a,f11f2813,f31f624d,cf336af,3cf7b48,15f431e8,8f743d9,a3012247,ee35d28,4120394f,f40c4c69,d75ae13,a063aaba,ed07e552)
+,S(76287cfe,b52c5a0f,ce98e56b,49b4ebe0,83b80bee,3bc7447,a0cb9542,e7f7a43f,736b7e56,fa5744bb,d39d064a,50d98b07,e9e3399b,dc5847ff,13e33eb6,e2a7a7bc)
+,S(614d739e,ad01010c,3191aaa2,c1b7771a,8dc29bcc,f1c4d55b,181acdc0,df6b8f5e,5ccd4e8f,e8607b76,c8a96c2c,5000464e,5591efdb,aaf07166,4f4db66d,c2f8085)
+,S(c38444c8,ee8c35f2,b339404d,90d53ed0,35cd5889,89663808,3e2d33a,5e4e1bc9,8b4408cd,de5452eb,dc222109,287fa9ab,1d2ffc9a,16b93f44,1f4bfaf6,6ccd29f2)
+,S(8a9c9649,c6016f35,d819bf02,852bfde6,56a1c197,2dbb6539,2391df7a,99c8f349,b2dcd957,be2c19fa,6c4a6030,a4cb500b,1797aa5a,339181af,dc6e974a,d769a8ed)
+,S(a0f5cd1b,e4449709,25d0ea0a,6cd28d75,96292ab4,1d1766bc,ed6b3311,bea04b03,d270b1e9,291b29b0,ce045d92,3e449ce0,c8d7931a,71cf4b8,68af9594,927ff95b)
+,S(a78f2336,87675987,7afbdbaf,28e2590,25c64ddc,a9543a64,709d4c11,1f3a9614,1365fac9,a5d245be,e5245b3a,b1f50d19,de34aa9a,439f5e7e,e241f042,32a6de83)
+,S(3bfd37e3,ae482c5b,92baa6f5,a413a46b,af6cae30,9ee3fb51,4a9fc3e4,b391769,2d930818,34bbb0dc,66e424a0,7778c9cf,d0219c06,4dc7fd66,bdc554f0,396d1c59)
+,S(92cac49a,261d23,e776ea75,7e796d2a,d426f23d,602ece5d,1b41cd71,d13881a2,8c76ec13,8e0f37c8,99a3e587,a8c0c5d8,c7a43ac8,187a35da,c0d8492e,571521c1)
+,S(cf6ede0,ea7dc67,cc370894,1493567b,718944de,7a96dd6b,82940214,b56842a,e2b717d4,e939608b,7ad6128a,53dc8c52,fa070d0,f591842c,a76e8d0f,54627cb7)
+,S(6204c998,ba512945,26ecb92b,bb06e218,968c8c2d,11e0435e,3dd1bf82,fa91e17a,1690a15f,e78365c9,c8fae21e,f0af2a3f,d1ed18c7,9a607939,d12d8add,94cd0ea4)
+,S(a2c4fb48,cc5500e1,35268d13,a6ac2e16,d8ce0707,f2237f12,ef71affd,e4c0aa5d,3809440e,e608c897,cb7e3906,c58123ab,c403f57a,8d59b950,9e5f2d70,3c0cd839)
+,S(d8af7fa1,cc303e4b,c5da36a6,d3b2e309,6acc8ec4,d73224f2,b667873d,eb656f60,9fc7f2bd,5a5533c5,dfb39f9,7045b135,5e14d81b,9edeae5d,dd4ccfff,f0c6de0d)
+,S(3e9a00ad,b873291a,604e6bbd,b05304bd,3770733e,d1daf90a,864d775d,76dea0e7,deb49457,f6d1c4ef,53524e37,f19a8d77,20a5cb9b,321b4630,51f8eeb4,901ded0)
+,S(bef5ae9,30aa620c,9854346a,ac1b2ac9,760ca8d5,ea189368,9de50e5,d3dc3d7f,20d80c42,f7925f59,b0212b9c,7d4041e5,5da98a3,fe373034,c0fdfad6,48dfc48f)
+,S(cd4169fb,cd28d507,6c174308,8f39645a,38215e47,888a435d,5922b490,9155f67f,f9e62ca2,1a5564dd,5a65f274,356c1b68,a170dac6,4b5aa5b9,29dc2f26,35e74674)
+,S(a4b691ed,34cd2624,fdda2504,797d76cd,4bd37b11,4cf3921d,538b6042,ed5a4c28,c65374b1,6781b4c1,15b0ca54,53e3397e,5c045a77,72c72d12,c336c205,d26af55d)
+,S(5e4e916a,4226b788,197cf68f,aa850c0f,c2b3a615,bf9e847d,c9e55dbd,88aa4818,3f3c3ea2,5c7c52e6,5c9991f4,464f4b2f,f3395d05,3eb27280,8d984a31,b798951e)
+,S(dd4782cf,f4d69f72,c951b3ad,50a4c601,f743e6ba,2194d05c,a5f474d5,eba74a7c,97a7bb5e,9854ef7c,5e3dd6ae,8628d8c2,5d3a791,d4db281d,6c7c12c8,20977b99)
+,S(a1530ad5,4ab405ec,ddb94543,2669c07c,281aff41,13e4af0b,cc080991,c1adce36,f3d25221,2732842e,5dddda78,1e2aa5b1,b18550b6,fdbb968a,77444958,4a63e756)
+,S(51924ef7,b438e4f0,614523f,232af64b,e5ee0d32,ad8e5323,4a2d76ca,9e64719e,87c115a8,11f94db5,6736e82b,8b644bfb,fdfe6e55,8ead8176,26858c77,128a8095)
+,S(82cfee68,e137d874,107625d4,be20a9d5,6ac9055c,6b97563,a3bd5568,53fada6e,dd49aa46,c4f5c51c,72a804d7,6dee7a72,a363e978,502a5cc0,6ff67987,30733b7a)
+,S(a3738876,f7f1ef44,5a1346b,36c7da6,e02b70fd,2cc3bf30,a4efd7e5,5f2e623a,6596f52b,e1ea52b2,be0de46e,5480331a,b1204d36,581b2edf,368d9611,ea04a21a)
+,S(ae4ca6f7,aec818d7,2b624fd6,b2ccf24a,8d8382b3,18b0dd7d,d8203658,2980bcbc,6a7ada03,35ad7c57,1e2a29f2,554c8bbb,34815596,1aa995e9,2378c97a,dd8f1ae2)
+,S(be33562b,fa9d762f,9b18d198,4dccb9c8,4d6ac894,2d8506b1,400f7dfa,89d12732,b666efb8,77c666a7,35336cc2,14e874a5,c4f5c956,903048fe,473d2e6e,9475d442)
+,S(9d7da6d9,815b3db8,5303b288,8a60ff6b,f382891f,5c45ecf,37cb92da,37c74446,46c29073,72ba5be0,e61f6d73,4b413d44,df3d2c0d,89fcc1ac,5402b68d,755b12a8)
+,S(39233d31,e513c2bc,c0602849,8bb7b3be,b5981fb,7c99a366,b62a9df4,3b0d4d3f,fc27857c,92e0ea4f,4d8ac3e1,c61fa774,1ec57d4b,a9affc81,f97e384d,b916dfd8)
+,S(5be2d788,db90e83b,58d02dd,7b58f41a,547e6f33,a82d84b4,3f7e5143,db7768be,b8cf3a8,6b2dfa33,e71396f2,e84fb6cf,d585ef6b,9a264875,b9049f2f,6fde1026)
+,S(3ff59de8,191fa14c,113600c2,5700479e,7c53a0be,3827f5d6,82f7861e,88f162ac,25d5985,6ab0b6e7,beff5f60,c279a11f,8ae4efb,5e79a4df,d815cc32,2dc77ba2)
+,S(81dc9c30,ed221920,98ad9475,da00f8d8,b61a18a4,e6305b58,75f75bc1,719a256f,2970745e,5c44cb27,a6f8f9c9,869a25f8,9cccf024,4d40ffc2,ca678d28,f54682a5)
+,S(ba3e1e16,579c4099,1576121b,230d4f4a,ea386943,bb7a8d24,f765a3e4,9b70e9da,a1eeb808,653cfa67,8a9d8d9c,7d30e7b1,54eb0de6,55abaabd,90f82236,32c72f4e)
+,S(35ffe81,50faaee1,141f52a5,1b7d1e69,fa66d194,3b96f04c,a0589c48,83f854f8,d66a1822,e83f6dd3,fcca09b8,df1105c0,b4ad3163,6070dc9,b7dd08a8,c9366fad)
+,S(398ebc22,1435f972,1c214c0a,e38b9817,8b50d7e3,e5724f68,5b950aad,60763a06,c2df549d,eb2eeab,fccd4da7,fc2c8ce9,15551b87,14903011,6825b804,80811f46)
+,S(2ba27f33,e7d0a75d,1d18511a,84e5ce1e,9ca89d2a,a44fda0d,6cfa1389,ca89e96,5023684b,832375c3,8f39946c,c91ca114,45c2ac54,fcc12f19,c6bb662b,997cf4a7)
+,S(4257063e,7ec51f92,4ecd485,653182eb,2b54973e,f1ff0144,65cd151e,f9e829c2,47351f41,16dd0515,11c9ab35,b69abd64,919f8b5a,812ad5d7,47c5462b,55232c1c)
+,S(77e737c1,b5b3ca56,94218582,d2e56519,80da8195,88ee46eb,e3ef172d,9b4063a8,f7cb5c5,e66798ad,37c8d4f1,1cb912e3,651ae45c,4d7b07b5,e0e20c2,89d1587a)
+,S(dfcbb64d,71018c1f,bdef98b8,2a4cb72d,ef027d43,47b5e8c4,4a7eec7a,34cdaa4f,dfc0cdbc,c7207588,8af379e8,751c4f09,bc2f4e58,2dca9a92,e06b0c5d,97972a23)
+,S(8eb686d0,a7871e8e,32ac5256,746d7189,b39855e2,2a52ce78,ce6962ad,d355ae8a,ea8b3611,fec52837,fd0afe42,4c22c5fb,89b79675,6e8a6a5e,d71e331c,6ccc30da)
+,S(d17d8713,ebaf2dd5,316703ff,8c4c20fe,ee56522d,bea7a987,85a96b1d,36cc3e54,ea70b7e8,6d7862ca,9d8a7a19,bf8941d0,e9fdb872,4e46f8b5,6821d85b,ddc10b54)
+,S(7d4c77e6,ae050a1c,856d28e9,c14eeeda,249c471f,82cd6cfa,3ec037e2,30b3ba89,c5a07653,f5fbdf93,4b180f39,327d102d,900ad68c,3da1a7bc,ea773fe9,6265fe60)
+,S(96381109,451e5e68,6d61d51b,3b250bcc,3721dced,de39e88,f4f50c1b,4d7ebcab,9498f419,b088ca54,7f17642b,dd6f0fe6,9f06514,a7228394,7f15d165,64801b64)
+,S(7400b550,54353d73,7b2da8f2,f8f4e953,85f44e83,fda3cd20,8afaf90a,978c2ba7,9933aca3,ce503677,e2129a04,cdb1d5ca,e36bed1d,275048be,6b18aae7,fd909771)
+,S(3d7b0c11,fff7bfd2,71ef5963,9f12ebd8,d1de3bc3,93b51be2,a011e4ba,66ff59f,b6397431,7f7ca0e5,ce1eb57d,8a886144,8bddb12f,75469789,b791c4cf,32404b9d)
+,S(4944d9ec,7ebf7f14,e6312545,5c8dd996,45d128dd,fde3743c,5cd6f4cf,65c46328,f0655193,13baaec1,329cd408,c9d1f3d3,5c2f49d9,126c9d1f,5bf271bf,2c589996)
+,S(9960432b,4764b1d0,f8607d6d,8e08b355,f37b9933,69bacb51,89ce46d2,79bdecf1,304ebb4c,921d2fa,29200ea9,ec214adf,f7e1a9f8,debab865,78fac56b,7160ebd)
+,S(313f535b,63585658,fc3409cc,726b5ded,9196cc59,6331681d,9ca84aa3,bb3de4d6,e511a48a,a55fe0eb,e5f23bcf,d01ff4f1,59b049ff,8c999fb3,dd64092f,c56c9716)
+,S(85c4586f,8cd36dc0,db9b9006,ef4f74ec,c99478d6,5c011bcb,3ccf034c,548ed7b2,cd6953c0,45c5d6c,dc632592,3f9b0070,144c8c5a,67639f63,a75b4d10,5b434229)
+,S(968bc6d2,a7fc359d,1edb668d,b7381eeb,d489b20d,b64d651d,21d706f9,94671af8,fb0ad6a3,723d707c,c1b2f330,4e59517e,de88bcfc,b52f3ce,d0bdb7c,f0725186)
+,S(2325aceb,3722e77e,e6cc7221,56ec0e87,26d343cd,cff6a420,e58c563,bf28985d,601a7f53,dd295978,f2a59683,6f3e9eec,19b9c8fd,e81bba5a,21acc8ff,878d39e1)
+,S(8c6e76ab,b2313bea,dc0667f9,9aaf32a6,4b1c9335,87c31dff,5407fdd,67acd2e4,27e3b850,d422df3a,c93b19c4,229b390e,3d7bb92e,340daa46,b3f5112d,1e50c29f)
+,S(e31fee31,34468d3e,4d6b2c72,8d538a14,352e7a8,8b9837af,9d8d4230,5e36748f,89b096e1,2d1948f8,937974f6,b9a101e2,37f9df3e,280d4139,e419a1b2,6d0309be)
+,S(596b586e,849404b4,7c742fdd,7e5a3398,da748ab0,67ae2981,215c17d4,b0d306c6,e96c5cc5,912cc711,5e4e8f05,edadf219,2ac27760,2b2ce791,ff6e18f8,62a0a16b)
+,S(200cc167,5cf500cb,a199c3b7,1195270f,d453d5a3,8313f317,71452486,15aa1c02,780aacc8,7e34429c,6445c133,49240371,1905e24e,c17de4b3,e7b79cf5,5320ce61)
+,S(7e4d5432,e10e1fcf,79148f8,77a4f247,70f0e96f,81331767,dfb5e9dd,2ad2025f,35f5dbb2,6ee82837,f37f5fd7,d417982d,fa58f0ca,13e3136e,ec0b5251,63aa432a)
+,S(c1ed7508,95c97e6e,7a78f800,b6eb10c0,ff21f879,352870e5,776bb7bd,9c0237b7,90723a06,8dc0aa89,9c31e89f,64ffec3d,a38e8095,97209bb1,d8b1418f,eb418fb9)
+,S(e5fd4ae8,a53e809f,83d239b2,a15d8dd2,9948ddae,6956d8de,fc7ce730,b2104770,6a4dda9c,1cbb2197,208e8ebd,35f2ddbb,50c7bf5,df4c112a,de02f0de,f71c4fa2)
+,S(3ce75f2,4b33bd88,7ab72cdb,42f9ecef,e3534d15,f6733f2c,a766eac1,da51f30d,9eda315b,51ddf6e2,62ce9b5d,828af559,a43eb48c,d3dc9362,13bf04cb,1a838ed7)
+,S(98c04c4f,33a81cd4,e498d8ce,77edf598,527fb9a8,8e19dd34,ad8cef3b,8813391c,fd2bcd67,f853f812,f4371c46,30560957,acb4843a,8ff21949,483f0617,ff8bd3a7)
+,S(50e9c88,2906cb06,cbce62f8,413ce43d,f3d2dd28,6e4141b1,fc8a079,a87bbf3,43c713b,b05f19cc,685eefb2,ba04474a,479a615a,2f3c8a9c,e1c6243c,d82fa3fb)
+,S(5d41ba17,458bde3b,64faa66,3f21b76c,71bf6564,2a73e3a2,eeb8a831,43adf2d1,17effc54,b3082159,2b39e22b,7ab058f,7f64fa7,68763510,87cc445f,57b6cec5)
+,S(4e332cbf,2a02593b,6e83cb8e,1d92e076,6b34cc60,646fe3e7,89d38f9d,24d5b077,50fa745c,3ab90300,95b69985,99e391e1,744ad03d,decd1955,c8b2a859,e79e1f95)
+,S(1bbf629d,27ee825b,c357455e,43410507,c83cd47c,dddb53f8,34716ebb,35a2dae9,850908c1,e99753f3,4f40070e,c0bd85e5,8fb72f69,601d3709,71ffa894,3de9bb75)
+,S(a9149aef,f9dbd62a,ad0cb3f5,debdcb30,23aece9b,dc79db8a,a25f5b01,b5cde650,a7bb4b46,e6db111f,468a16d0,9df686d6,ae3c148c,61d99a79,918f0bf6,b4c327bd)
+,S(801009ee,185d642,19de5b40,6b21dacb,b98ffcdd,75f8037f,fc5e1721,fdb72a71,e8216609,57c7ad6c,1dd36f70,645c75f1,38283905,898650f2,daf2e5af,37e26441)
+,S(c070e99a,e466f67a,b234584,66f132ec,96c6b639,3900468a,b7368a86,c0ba6770,883fabdf,358d4f56,8a56f77e,3b291fff,be6f8fcf,9c0f0171,a1544905,50769362)
+,S(6be89639,cf612761,78f549a9,ed0af9a1,8e028c53,1dff79da,71c5ff1f,54109f4a,777aed7d,dd379131,26a92f38,ff9970c4,ff2dd6f1,6d766e0d,8215fdb3,9604cf14)
+,S(d1fd31d4,1ce71e4a,2052e79,6dbb1a87,10094505,2b9d9009,2195afc5,9624ce8c,f357abd3,78a8029d,eaa796d9,1860e5e5,36d5f2aa,ea2bda2e,5b510949,253fded1)
+,S(1c85382d,66fef14b,3cde617c,a426996,614c328a,ead99033,7aed469b,8f169d9e,58c5af1c,b236e6a8,4f58702a,b727d9a5,e2406a4d,fdbf9113,a8f895ef,78a71f9)
+,S(2d8fa9ed,d5fd67b7,42e5c2d5,2c128ad7,eec32cb7,43cba12e,272edfd9,4f36b5ea,71b15f39,37eb2a09,f9533af4,bc964c32,23145340,f780731f,aa9ad1d,8f2cd37d)
+,S(4f512379,d9f6c596,700d0a15,950ddbde,40ceb1c6,87030c95,4c538122,dfdbafb4,54de9b05,f864df5e,ba861980,c7dd8567,4b320afb,e0381674,c7f7c083,4248c05b)
+,S(9a5f91ba,48562c21,58e60949,6d43eca3,2c69995c,ed93e834,168d22c,d9e7cd1c,9f88a3ec,c668eca2,e01b1126,6acf9c51,29bfa33e,e12f7638,2d40d2a9,b722b86b)
+,S(dda30502,d417fae4,c4ccc6b6,e833b75d,d84d54fe,d58fcf0,6577dd8,52f9f610,fbb88dda,2e74641e,6d45468d,102e2a42,7f4c57a,6c7fab0c,5d4dbfc1,155469a1)
+,S(8d2e9e7c,5586141d,848e50cc,631ce5f4,600dfb1,618d65e8,e88da5e3,5b26e117,989c39ec,ffd67c54,d55ab4fd,85c2a556,bb72fabc,f763c9a9,e33a1ed0,251aa86)
+,S(726ce076,e6b63d6c,b071cee1,c3d1da27,10c911cd,e3d59bbf,a27a7ca9,641ee995,4e41baa0,c91ff8d3,4d2d01ac,d8ab5d36,6ea5e81,d489595,1c49622e,610af9c1)
+,S(debc91fe,183503d3,fbac0dc2,c9e95062,c0d42971,ed2e97aa,27dbacd9,bea43a1a,13593715,a6fece9a,f33b2ab8,d5f26e6,6dfdf3c8,ff688100,d497a333,be2d2f11)
+,S(c5394335,77914ab8,e7039e8c,472ff2d7,237c794e,d6b24f41,c585e910,f0fd4b28,2805359b,628a9c4e,7b304112,80aa2a0d,23c26cf6,9a47310d,1fc6fc54,cd26087b)
+,S(9a2892fd,33c300b1,802bf1fb,e8a8faec,72b81810,4bee4e1c,c998bc79,a05f29b0,997f123b,c2fa0136,522ebc53,a5ce37cc,5538705d,f5fa8beb,b37f72ff,45186e33)
+,S(d4a22cac,f224fbe,7ed7fe42,7e0bf180,1503bbbf,d73de79f,4c558104,b39a351a,8268fe97,30622e09,2a513349,548e346a,23260311,a82e860,341af6b8,3ace752b)
+,S(4a4cf3ff,15adbe1d,8d414963,b0709fb9,11d4d2bb,877dc03c,77594fb,9cc11659,57c84583,36f1952a,62441810,ea64ad3,5109a30b,c39ff36f,c2dedd60,d1ced874)
+,S(58c0eced,b580d530,98c836cf,42ca2648,e85e0b27,871caf44,1f69bf0c,158e1539,eaf79c49,1e1dbc94,4e63d36f,702cd1aa,92e54a09,fa11ffd7,4121783e,e842467e)
+,S(b0fbd0e8,a60c7e89,38a154f3,fe586a33,26132302,7f4e416f,634cc9bf,724892bb,27ba767d,6757f40d,b54fcb50,104998ba,6dd83f93,137c3d07,9a0330c7,82a5d3c3)
+,S(a94ae12a,26b0135a,125fecf3,e4ef1844,ee90c2f7,84cb4081,8c16d8c2,d992f0d3,a37447ba,665e7595,c7816a6f,6bba3d66,e046fe36,8877c95,bbc8a760,218e2050)
+,S(8cbdb09b,3eb74fae,32b6c484,4f9004dc,c540e240,7305aeeb,9adbe308,8cdcbeb5,2b863a2,91f6efd2,ff07b14c,4e5a169,912df745,1b49e3b8,10e72cf4,34c932fe)
+,S(3f8cfac3,b70eebe1,cc6fb89e,d508abd6,ab3131c,40d37afc,f8f39c87,34cdbac8,dbb02111,846ef25d,794b303d,b48964b5,a68b5287,b443d321,f0c493a1,2d58b65e)
+,S(b61604e0,cea3e79c,12fe9a4e,1816630b,31fcaf4d,b3ac84b9,547da60,df15b25b,1aaf2bad,9ea0fa5b,56665b41,ba1264a4,317d5388,9018d92c,ea2e9d98,29b86801)
+,S(eb0e7410,3c6ab38e,1c26630a,7fbd68b6,fa51bda3,64d1ca3f,7c86ef0,451327d7,dfa05017,57c4d3c1,9541c9c7,d9fb7438,45cdaacc,2ee377d4,4c36817a,e0e82e6d)
+,S(636fc503,be51e64c,8dad2812,6762c04b,1fcfdd7e,4b25544f,4bcd0bf6,9556b7ae,57b83b0f,5104149,7f3b6735,a8b7d886,b633c8dd,5052d1e6,9848703a,313f4cd9)
+,S(2fcc70ec,4d42235b,c6afc2bd,1d2de19c,5ba9dc65,4ea3e288,c15c7358,e52ab330,6a356018,2bfa1e22,db64cbbf,cfcdb695,35bde8e8,2519d069,39577e65,256a30ce)
+,S(115006c3,8d38b8bf,db8969eb,d6bdfa95,83be81e5,bd5bc7d0,1cd10e22,7ea94b54,6043ad02,16eb3fba,9af39e83,f6e87802,3fac023a,73252780,2505a1d4,2080e08a)
+,S(17d565a,15ba1c29,60ca2da8,2fe54d01,3756a986,bedc19a5,15b653f2,8db3aaf1,917bb9dd,42040b3e,4b8b05aa,b9d31252,7a633819,33534c35,f274ad7a,9bc7399c)
+,S(dcc2489,88501c43,b8598f7,a3e5bca9,d2af8f8a,b482f30e,2374c6d,6b221ef2,a859757d,d5c6ec52,b1f102a6,ef00decd,cd14cab5,99f1eb0a,57864646,4f652e72)
+,S(a68b2b9f,4e9430b7,cdd919db,6e808a7f,ae2cf9c3,d43cba03,d833fa8f,351f0b0f,e34b8a32,d3ad0923,8e95614d,92778021,7f45b14d,f2f9cf66,d6525bc5,94786526)
+,S(2f954e5a,938e1198,5d2d11e9,ead59539,fe7e2f17,4702d3c2,3190829f,8d0e9462,b2f0d379,fa8b7d40,ba2fecc8,46a393b1,f6aaa6bf,9f89ac61,e55ab1e7,bb16dd5)
+,S(223d3d13,6bca94fd,9b3fcae8,6bb2ddeb,3cc33c8d,3ccff556,fa93938c,c27ffe4f,87e19106,e317187c,c256f7dd,83d6219b,27f6cd8a,53bb4ec0,9c74ca58,51512915)
+,S(5591d8e8,291161b6,43df3a3e,9b4f495c,b614432b,a0f3aabf,517834ad,9e8f7b2e,2c8d6a35,f6267e52,d9bd454e,bba4719d,30b3fe7e,c40a1416,673ef594,e6d07c2)
+,S(eb2cfc4a,d15d1a14,870cbaec,b9e9aefb,4141841e,2e4e6252,c8e93751,45f29a29,78810e08,10bfd992,b7b04c79,c7650150,e62f210d,6d35cb95,5bc67215,7052e5ac)
+,S(6112c3f9,9680a818,5e4b1d4c,539cc436,bdcdb47d,2e19f927,d5e3e9,eca3f74b,6e860bdd,723c8bfa,dac8f9d4,1f6ca96,f2579d7c,6a690f35,3b8da52b,98da4403)
+,S(892120d8,d552d8b0,c42c23b,9a0f17c3,b9b32914,d7e31579,7b391ded,a7d58b16,e62523ac,b3c778f2,f913d1f6,4bdcc037,cc4a9496,ccf0cedf,32502316,b5cf7941)
+,S(4758b456,217ad3be,2315583,963044a5,60ca4a49,168461c5,ecbd1e91,1fc4dc0a,99e4255a,4f30973f,57eec6a,1c30ac1b,bb74987b,3c4e7ca,9604878c,d9d83679)
+,S(ab0422a6,9a207a87,97fa0c6f,978479af,a3b95dc7,d962e143,b99e7575,6e5629da,73398d0f,fc9855,ebc280c3,2b8dfced,84af0f70,4994edfa,7a06e2e3,a5823faa)
+,S(1980432a,ccb90b14,30d0b4c3,5829374d,852cc7a6,f0a1b20,ee7ad43e,d545d227,96ae3873,bfbc8ceb,2afd1a0e,9b989bd0,69c919f8,f2e51546,7668da5b,9e8b05c5)
+,S(4288137f,e2dffb3a,ca761cd7,2abbef3e,93b8a015,743d50cb,b716252e,e0e93f17,c02c333e,36c366a6,fbd855f1,4da07672,71fddb04,59e788de,456086dd,aa238825)
+,S(d65fac35,5bc89da,afc4d16,aa73fa4,77e43276,e0db7d3d,52d9281a,d6b6cde2,e6f4c975,a6c5f337,b4500545,603862d3,8e9f07e4,18886b13,5678478,c007383f)
+,S(7029b144,e62dd27a,4fe8b54e,1607936e,beb96784,d1b294c8,43e19978,b98f6ca7,8b10ed66,58056c6e,3a2c90c3,855444f0,9a1af347,c73dd14a,a478f2a6,7140a25c)
+,S(4f2760eb,df969bdd,e80ea87d,a5da0c19,fa343e4e,44715711,50295b43,cf9183b2,43e2c17b,f3f9ef09,fa01fd39,b8f69b69,15d8625d,4daff425,d4629677,83e28167)
+,S(cc996aad,db4196a8,f355f0d2,3b9fa539,b573ce57,f2ee7e52,14372615,c374a5fc,b1c40f87,18782935,c30a9cb6,6be85d11,44284bad,bfff9923,2c09f2dc,a8ef28d)
+,S(c7818ad3,f3e3d905,b2c38e39,85eb7091,cd9b3285,3bdac631,3cf4303c,d54ade42,55574c4e,7bbb850b,14763fb0,fc1443cf,3403a5fd,d1f5f937,8007fbaf,94339eee)
+,S(6cd03584,6fc48ebf,f4344d1f,3ae5d258,9a45dbc9,e779445e,52a75737,2589c4fd,afa85b7d,b165e371,adf67dda,8e4d1fa9,4d811c92,8d2d4723,a44e8cc8,93416e34)
+,S(d652a205,f716b1ae,632b7235,91152314,f5231b92,474dcfd3,bfaebbad,443b2e0a,d2198421,b78240f7,cb82f0d8,5de03d8b,c4646a23,ec166dcb,a458a06e,b93bedcf)
+,S(a807d04d,cd844a1d,f99b3e4f,e3400459,81ff0baf,d34e2d73,a6a052f8,dc52fb54,188a78bb,73939835,3bbe5079,ffbbc718,c385c047,97cfb151,af019e9f,a2e2cd9a)
+,S(1efd2bbc,a5d6ad48,e93acd07,d6cb02b9,b8c3a95e,9f4cede2,24efdc17,cc9eb2d7,f951ef88,1b98c7e6,357e191a,1bb357f6,2a9d2ae,a8af1a05,63eef3,66745b39)
+,S(5bc5e54,d27d3db5,982bcd04,497fe0e3,ea0ff13,7c3bdf66,6ed0b9ac,2395888f,3555bc02,d4f4eb01,661f8b85,7321b36a,5a22d975,2710375,4c1f65f2,82ec3300)
+,S(f600a8d,26b08d0d,e6e2ea80,e8ad2f1e,158cca71,15be6f22,1f5b808f,746a3247,23be5a13,4bc3fa5b,7ef75b2,8e8e11ba,76c753dc,6516caa3,cd5b3ab1,8bca3523)
+,S(fc7e4e0b,2ab2a7a8,cc5712a8,be590135,f5119bc3,6c73f81a,e492bd26,90ccaf7b,4bd612f4,1f274690,6ea862b8,a6dd8929,e4a682b5,aa835cdd,b31c90ab,381151a6)
+,S(51325f3c,fe12d00b,fac67eec,d79b63e5,41641d58,76aa9700,bcd3b3b5,89442655,d6a894ad,7b7ae6e2,db962360,579657ff,982a35e5,91cc3b33,a4437a4b,133ef941)
+,S(2db3ac27,1a55f608,f21bd2d5,717f003a,afee9a6d,b8fefa09,5626e4a,c598aec8,c526bf33,a0c01c60,c1cc9fc9,d66609f5,3c662168,b47cfdd6,e0de0c88,9bf9533e)
+,S(9080772,93deb01b,5eb05b55,47de4321,35fbd436,3f391be5,1e1d205d,d5fa7dcc,fe961eac,17243337,653d318,b5c62159,64dfef84,d3cc3f23,e034c102,5ed7442d)
+,S(32a1ad81,e5a64fc8,2dacc03f,6790cd4f,45557ad,3d3597cc,e2ec37bc,339ed9d6,87abcf68,18010022,7097b63c,a795cec6,79cb55d8,a9076cf3,d1371062,627cb07a)
+,S(f7cba8fa,58689c51,a0f1af76,971d17a9,8c5849d,55b396e9,a3771d17,4d9246f9,f4b0aba9,10d5a9ca,eda4d733,35d5fba2,5309a0c2,fc83072c,ac37b9ec,af58ee45)
+,S(cda6b104,2da900d9,d65b6b7b,c0579a43,fab75f55,ae7046d5,8ee8af82,6329ea81,70c86c0e,acfd7401,5a1171a0,1e3601e1,a8ee20e2,9ac7c0fc,68d6f1d,cd1771e3)
+,S(a261a640,9c5b1ce,9a8f27b0,544ca0bd,a46f3bca,d11b7f2a,c23878f0,f67ee58b,1e26a71d,4c42dae9,b4e9cda8,fd33d725,85da67c3,52594d4,20c6e410,f3fff888)
+,S(bc70c967,fd7f842c,c018e885,d1fb6d34,9435aa3c,682f6884,6b394ba6,e9f4db57,a2b99d3a,837e2de0,c40a0784,7865701,3032efc4,87c47e57,18d84e11,f8bd9468)
+,S(364152f7,5dc43149,4cbfdba3,ffaf234a,c7a26567,1051e026,9c60389a,7077a9c2,ac3ac7d9,f4ec8543,3038ae4e,7ede71d5,3c8fa601,25bcd8ea,e084c32a,546d265)
+,S(52fea4be,d57d5d58,d92f59d8,e4022df9,d82ca42f,a3d89326,cc36dd96,94f3043d,b7e98328,52f98a75,f738f9a3,7a67b39c,5708c608,5b6ab99b,2495428d,8c4feb35)
+,S(34fee910,c8bac880,f973a096,a9ac3ffb,9c32ecc3,d2be3ce6,7b8d6822,863e1a4d,e0f01096,9c9dc446,c78db14b,122e260c,2231f6a0,971d08b2,24355620,689c7a17)
+,S(6af28f0b,f4c9d2e8,192424ec,31f076f7,f815ab0,f476a4bb,4019b3bd,db49c65b,2c55fd2f,bb663b31,1a9aa346,917f6064,17d1e1dd,bca45d3,f1350feb,6ea45248)
+,S(70b6ab66,39e4b41e,644f1b6b,6ac5d36f,a4f0ad81,3baec03b,8bc74f72,4d320e46,ec6409e6,4f4e4fcc,d19ad5f1,96d3cdd,96f7135d,dfcdec95,23780c18,8a913a14)
+,S(ede56f11,4ab975ae,adbeff50,ff7dbbe3,614196a,138600bc,15508481,a065724d,9e7fae4c,11f421ed,26d839dc,61b0684b,71906b63,6efdd73c,2dadfc9,5336ecfc)
+,S(83c34c3c,840a7310,3d819d74,66648e66,5de54af9,f1683efe,6857c3e4,556df8a4,9c238041,562dd6c0,eecd9771,9ce2eed2,90aa8137,f109840f,d31d70a4,c86cd10)
+,S(aa2afc90,89b98,5228cf03,205e87a4,52cbdb45,24d377c6,1020593d,a0c7e200,3443196a,b382ac19,d3d3bc4f,a3161e00,6d812924,fe8a86af,2db5cc27,96be01f4)
+,S(e42ec7dc,4310cc8b,9f2956a0,2fbf71fb,e90eb045,881ee800,e3a75730,4155c520,939ef2cf,a52d91cf,e20324bb,e8da54d9,2d000945,58abe7b6,93c2679c,d625336c)
+,S(bc0bdd24,937c5200,fd78de47,a16ef9f4,181617ab,267fddd3,4a3c5606,32ec2b21,db04a4c,10b521f7,986e0e1d,192b0870,4a028511,205d7ac9,df6d2993,52b63035)
+,S(dc88c9d8,9b43a733,5e310fbb,3f760e29,55c005d5,640df990,6264ebae,adadc8e7,2d6779e4,6f984794,65bfc677,79feb7b7,3fe37b32,cc23d636,25a3c8d4,fc2fc512)
+,S(a7ae0d8a,b0c932c6,2ff0cb02,e05d76ef,5ee3dc50,88c57210,f6f9e349,80111c20,d632abc9,d63162c8,98b9dc94,b321de53,ac8dcc45,69233cdd,1d07da1,92e553a2)
+,S(4620236e,e7bd6eab,db203af7,57da6e64,d631ac9b,a5f03215,592a5acc,5cbe0e97,5df4244f,69ea1e2a,6cf30cdf,4fae66a2,707851bc,7028d8c8,8fa97690,28627c6e)
+,S(804cb84a,3d8bd930,51f50aca,cf932301,5cd35fff,349d8a38,e2bd991f,27d8f671,4b77b812,9ee0f835,96ab2f19,20362128,cdc39552,bbe6d267,bbc9a8e4,70ae8d3f)
+,S(6ea5370f,5382b2f2,b801fcbe,ea463912,b4f6fb4d,e207237,8e71dbbd,b91c2ed2,f5b4f909,d8f3ff08,e92a002,f1959ec8,8b513ee2,d37825b1,a8bbe141,90b2d88d)
+,S(d8b8de1c,4ff575a6,12bb0852,af61c6b3,1ee56403,b81a1f47,69fc7072,a2e22ba6,1e3c4190,d37abf89,896ad827,55c256e5,f23cbdcb,47b05892,8d538df4,e2468c0e)
+,S(66ac1864,4a0bd6e,9c73f3ea,43a00d6c,80d38467,5080a9e,475c8291,edf1b147,2cc60c0f,7db6b776,1503efd,551e1a36,9be98ec6,73dab0bc,a61881cc,4fa1260e)
+,S(47194a2c,4ed223e7,7663cf9,38b5a5ca,f2784435,c375d85b,ef3c5367,3f60e942,b0fde11b,5a64dc13,7bf2738c,75027d57,5808a3ce,abdf7604,5f4484c0,d3d9f920)
+,S(1141c859,9af2d983,88274742,88dd768c,9fdc1b2a,c5f06290,10bd3cf4,2a4c6186,7a431f47,61ed4613,3317555a,578d0f8,5392a0d2,ba98ec64,d6b508d3,eef0226e)
+,S(f905bdd8,e80afe9e,d65da689,bfb8e549,487002d6,16ac651d,4ba300c3,e7496f79,1ec7bf7f,3bfb5045,d461b03b,a7f05067,cd999fc5,f9f4c0fc,a7e25b19,77bfcf72)
+,S(ba54b8e4,fba452ee,23c4faad,b14f0af8,232ea62f,ad47a3e5,573f1fac,f15e9e0,af556ae9,efcabbcd,bbd8e48a,82ac80f3,9c96ed0b,11370b8,da1bd4a0,60f5cda8)
+,S(59d3ead0,561f6e24,30e87f3c,f361a2b4,1494a042,3a775e9,c08a28b4,a26a80a,9b26f47d,50a92229,c28a278d,427c7306,f5f1ba1c,c2d095d9,ac51e18f,a9bc8)
+,S(2a6e5a3f,ab4cc928,d8f2924b,e7e0f3cf,15520a08,eff00f5b,129d9070,ac865d47,55c0350,58727023,86d19196,4609351c,919913de,e93800cb,38b77183,5ca625a5)
+,S(898f50d1,c35bee41,88afe91,842cf659,fff1fb1c,5aaebd84,6828b002,a8907502,b2456e80,c97c2ad0,1ae02e49,6b84c02,fc9bd0f1,4a3c5a79,dafb8f8f,62f3267b)
+,S(d1854ab8,b49bf0cb,1f9d2304,e9ee3cd3,bda5d9a3,ac04fbf9,422c4671,d6af85a,4e2500f,d8818180,5b16a077,53eddf34,d7bdeb02,17df7fab,d0afebe9,47155c20)
+,S(861fb88a,394db6e1,f03cc787,d968ef7e,4a417df4,2856d303,a3edfc66,feaf4680,a5d7e95a,ab8b0b13,23fff11b,638ce02,68f3c38b,dbc018dd,dc6d2362,a135da6)
+,S(9544f768,b9fa9dfc,3c155d90,b676cf7b,ea526903,39fc111c,b0ccf62d,813403d6,cec4d92f,cbde624f,851ed21,bbf5154b,28d87603,5e302902,53e99670,806e047f)
+,S(f7722192,f80a66be,23cd7b07,89f3a094,311cd40d,3b7149ba,2cb5cca8,d1db68e9,41d0e9f,3243d64e,73e26661,cc851e5,1c11e320,277f7462,d40efe0f,c81b516e)
+,S(876b4c65,1f88729b,dbf9927a,89ea91e5,b6bd8e7c,439f6fc1,be9e07ad,698e14ed,ece2cf81,1cfae9dd,cf787b88,f62f2537,7b573084,86ab84e1,6ad31ddc,f96b49da)
+,S(706af4e4,62249924,88461427,8917899c,721be8f6,3353b127,b7ecb03c,7b70b10,c972d972,c65d200,e695bd29,813deb74,cdcf0ee0,e612f545,aa6506e9,7e58a5f3)
+,S(ce97a218,c9c96262,b5cdde0b,a27e5f4a,4301b75b,f9d17dde,f1495b7d,f3863c9d,e9398e1a,20fd1426,88916410,d7af68f1,c12900b2,72b03f55,c5770aca,2a1ef10)
+,S(fb625b9a,92cf831e,886a1f01,c2db3d53,7dae0feb,e9b3d9bc,a8fe6449,d53be895,7f783e74,ba569e04,a29d68f,12cbf223,1fe2a8c2,a651f44c,30d597de,82599a37)
+,S(81ffbf69,7a7d2b8b,51b9098a,8833244a,f126c6f3,b42ddbc4,c6b2c5a5,55f4747d,e2c67357,982eefb7,3213d530,3cdaaa7d,90b4d1de,d0fd4d0a,8b002162,f006f33b)
+,S(6dfc0f66,8c30ab7c,af16d4d6,309ca2ec,679d6b77,be695ba8,c0f31b55,6a0ed0e4,a41ed2b2,d9a0aa74,3182d7a6,20f441e9,36772438,bfddfd90,5aeff87d,b15a563c)
+,S(1c6bf1d1,b953e56a,ba1a9b5b,f63c328,1d5715df,88bcc23f,e77f94c3,3b501b44,c667214d,b4ca1782,19c368b,f7c2ba4a,8f1e74df,91a22d3a,8e336089,e4e4b0ef)
+,S(b69112df,5d999f60,5d863231,9144d2f3,5417b9f0,d1e78ba6,b2afd247,fadef93d,2163cf7a,302886e7,70fafeb,8acaddec,464f115c,89422020,9a034c63,558df4ae)
+,S(bc038732,ac230f91,7c58b8fc,f9ef9229,9737a2cd,8e01687c,da464bde,4976b6e0,3392601,796373,603e1d6f,a7e23385,7a7ae0d9,df638ab3,7191c046,a25682d2)
+,S(96df3295,1047ad4c,6aa4d9ae,e59bb00c,7489c20c,aded01ae,1833ebda,27e32d81,418f6c2d,74ce633c,181189bb,f5d0f066,cbfaa8f1,e6674466,1818c4ef,e2e2034b)
+,S(a3c53227,939e40ab,ec6fcefd,eb6193c1,cb6a65fa,2f3501d2,63cd2fa7,6a304979,4468caa5,498ea6f1,92f29ade,37a2f667,f46798,dc600de8,cafa0ed6,dbc967e4)
+,S(93fd8207,3dfd6d6d,6b85f1b3,1e172a61,7a0c7d46,b91d5a92,601af0ad,2545eb2b,601beac1,9a8a6a41,1bfca863,6acfebb3,9611559b,20b8a866,88397d47,d563a847)
+,S(ba7d3bef,2e2c63f1,f9acef,2468ad8d,a5bc0d9e,b45e4a2b,ee87a0ba,86ca0a9b,ffff9a67,33129e31,10d33ed0,bc5b6bd9,376f29b1,7bbf2e09,7c6efcae,a55114dc)
+,S(e0d955c0,2a4f9c35,97597258,2964d7a4,218898fa,97ef3011,1904290e,36157a8,176fdf9e,7d420bb9,a0782f0f,8707789,b28cbc69,d5a6797b,aa2bb985,1c617f0)
+,S(16b2c140,8320cb93,112da689,c690d6ab,6cd226fd,e1752dcd,a444750,bff81ac9,2a2face3,dafd3932,f2617488,faa17b6e,5025f792,53c65edd,2abc7790,d98bb281)
+,S(2fbb0432,9c823e2f,645d61d9,795a414e,220db4b8,eb4da0c7,fc22bc10,e9f502da,1adf66ef,15eaddfb,abbcda69,c87068ab,cbfe58e,69f58246,a0ab6259,90ebc31d)
+,S(649134da,f42d2579,b6522f2f,404d6456,c178f883,8c9ddccc,e132de4e,67208ebf,4385abfc,3c554bc2,78844648,a9aea5a,e7709b51,fe644e8a,4a756c3b,f09355cb)
+,S(b95544b1,dcb81f9c,e0601c17,29c7fdef,128d62b0,b8993023,dbcedf8b,d3991cd,f871fadc,ffbade32,d51f2d45,4f0726f,206fe760,93c0ab0f,33cc5383,769dcd2a)
+,S(cd403bfc,5034d0c0,a23df5b4,a4b1b096,ace1ea17,288f89f,d063c0ca,5dd668de,c1296131,aa56f46f,49f59760,f3a4bf0e,3fa92e54,a5d8f160,54ee1fd4,26717742)
+,S(a4aaf37,d7f8bdc9,90202074,c9a8f56a,1ad78479,95b4d939,4b6ea478,3c04c581,4cb3b6f2,dc02b61c,fd2594f9,40773d73,1a8cb9cb,388af431,9348d3,af16da34)
+,S(57102ff8,ebdf048e,85edd3c5,2864578e,97478fc7,e6e7b937,6c37d9f8,abf438c4,c84f1d9b,eaec1962,e79e308c,251b2f31,915aef16,90ab5128,8331d8ee,f8161d4f)
+,S(68fe98e9,3c5c5fe1,108c08c5,8fafc701,12424685,c6809774,832b0623,a3c9b6ac,492ac417,fd956b87,ee8078e2,c46f21e3,cb5ea58f,ee871cd4,d6480cf9,c4df273)
+,S(d4bbb6,9ef5e23a,f0932cef,2eea4ab,d97baea2,b0893d43,ec08be40,2a4a5e77,5818e60,9c1dae31,f65e223d,f0cd08c5,9e74884c,2a2dc166,607fa4b0,47c7c98c)
+,S(e9627957,a8eb8b72,7f0d872f,28acc53d,23a5c53f,763f3b5d,68c7e690,5a83192a,5da92e7d,dc291696,d9466d17,d4ca6cca,cab1057,4f5a08d6,6e59ba87,cd0d984f)
+,S(49f21cad,a83bf2eb,7c508ffb,70f9fe84,1cd547f2,df83f207,6dd2382f,1711caf5,1c7d8129,5f834ed8,ac73afc2,132e6eff,2447611a,4fed8114,ca18925f,39f31931)
+,S(58282a9,40f61d53,14d1d110,c18713d4,6c34a8cc,5b0ff64d,fd6d0182,aefa792e,7855e155,d3e0f2d6,52370145,7d83d7dd,2a96ee49,3eac091e,677f0a34,105f6ddd)
+,S(c9c97a32,4b07027a,7b5db6f1,d70bec7d,dc3a14e7,43d492e5,f5569199,23ca118d,f601f40f,894ddfe1,c2b1e99f,7c2032b9,15d600d9,e2ec41e8,747d74c6,9664b56d)
+,S(9e4dc175,8ed67501,86a7bcdd,a11f9273,9bbbe0cc,aa72862b,8d515a21,159e054e,ca11c31f,2bb866a6,be0736aa,19b7e36f,fcf4f4c8,715ebd3b,c9483813,cfc6c0ab)
+,S(fd063789,3ae0030b,cd8c1e5e,8cdfbdda,8e5af1f6,268f552f,7a7f0c6b,8aafe2b5,8c09eb0b,68d744a,20468a8e,4326dc01,f4a35480,df1a0435,b2e21d53,dc8e676)
+,S(37dfdf3b,6e7a7651,9ba81c3e,c1377580,d85360b5,b466ec77,b3f2b272,fd4af04e,cc3137b2,7b732758,d78f3b07,80129e77,43dcd85,ec941727,ea3b4f8e,d0fb7844)
+,S(45ef106a,c8a5e25c,771a2f18,bd2be0c9,a69cb49,de16d8ff,e72a45d4,6c1dbae0,cad6a40d,742e7db7,3f7bd452,e0163490,60e5681b,31918bf4,2ad8b698,220ab158)
+,S(258c52f9,88b9ca25,73cde71,472bf58,99648cdb,c1052d14,be02469c,11fdfca4,4491d88b,26ea5c7c,6a66c9e2,1a5b61fd,d60d0b8,8394cffc,359af9ec,29939dfd)
+,S(bc92a4a7,727c4e36,3d0cddb9,d36f1d9,d4f8ff67,de881c83,afd51193,a9e65217,76ff6a08,b18b4795,61f1c024,d464e9c0,331c22b4,ba3779d7,9dd13122,63aa5120)
+,S(8a19e8c2,58c04834,f11ceccb,c156bbe,23e4e837,fb5ff353,249c12d1,45f27ebd,15fc6c70,bff48ea2,c56caca,2b978fe1,8f50a9cb,85c19f06,5d65e507,e4e92c1a)
+,S(e59b82d1,ab90344d,b113c1a7,a39968bf,e6f3b1a8,c2a44572,d9c911ea,55d70eea,91e33d8c,d58c6a1b,e4df0bc0,12eaa76f,6634d699,814b80,cc22afc8,313b91be)
+,S(f994ee5f,88244cd6,bc417db7,2f941bea,f3456d2,5dacbeb3,330031b0,7371a7d0,9026f86a,ecc299b3,302bf9c0,4dae48f7,d9c2689f,42707d40,51440a05,ad9c62e2)
+,S(776c4c8c,32d1fa50,27b17bc7,9803d121,8000cccd,565d95ff,c1e3a693,7800410f,40ece234,438e7738,6f8201d5,3d3e319,988b64a6,38413803,165f0bad,c8785149)
+,S(393675a5,dd13b001,29caea3d,8bf25730,32c1968a,c5e02620,fb83fae5,b5c9b12e,39e6cfc4,793400ce,ed16ff4c,4b0ebcc3,2e5dc773,4e742dc0,3784a69f,a75a8b00)
+,S(d7cdd294,22edc7b6,2cdde130,e90be1fc,94dcfdf2,7bf38eaa,2f09fa8c,c3401b1e,dcb9cb28,73cd18b,b74ca141,dc79eb46,728bdd9,8bf14302,db5c7065,354fb184)
+,S(bce3f127,2726449e,3f620671,824949d1,9026137a,9885a1b9,9cb67dcf,6e56bc2c,a4240017,ee92dda4,be968f04,ad125ad,1c33c37d,c52a497d,296d5786,e6e76217)
+,S(9df098cd,efe9414a,79adaf44,21e35faf,70080137,74399eb9,738dee97,ff5d6e52,6bf9235f,ef36943c,d0f17bb8,6917d97,f04bf4b4,dbef1baf,3b788eba,51abf15d)
+,S(9958582e,e561dc4a,9a4839a8,292713a0,5d88ab4,72222522,e8dcc94d,b3d43f1d,e0958a14,b63af23e,86f76cba,2259b37a,850008b3,43b5cdc7,8cb4e88d,68c226a)
+,S(3e7fb8ce,7d7b279e,7d292447,c88c048b,dda93379,5233a871,bad933c4,6dfb1f24,4279d08,34108239,2d77a5dd,906ba4be,e36352aa,9385f09d,2296ecad,648806e5)
+,S(1cd05450,f7405a11,cec93ee,7826cf58,97611d69,fcb681c7,1ac0a6a3,75e8ed62,85bbc70,bb52b040,d620a3a0,20b9536e,5759d35c,9931936b,39a203b,af34d0f0)
+,S(5047776,32145a3d,f6f87bd0,1b81032f,93cf99ca,fb4c5e3,c76adbf7,d7c9b367,7badf59,919c7771,89eb97ce,6c71f418,a0e67b23,884cbf7a,1ed60804,57d1d2c3)
+,S(1ea912c9,49b64ba8,309b8d87,ad1498a4,79fd302b,f7f2f0be,636f7a0e,4470e6ea,9b279fdd,b1211de,8414896d,3502ae8d,4acd50e6,cf83ab4d,29086d0,42b7650)
+,S(9b3fa0d3,4b00076b,cb4e0b00,95f03c4b,e1ed329b,d2f4c7ac,8c03028f,21a01628,10117a48,b2a58ef5,2e0d5dcb,cec661f,8cef81d5,50efdf41,26e9527c,27d420de)
+,S(65fef7b8,1d39dc4,b3ac7f7f,5bad14c3,6200d128,d0257e22,ff678fc0,824c94eb,3021e1ee,680c4fc2,77373b9b,36ef276e,f2dcd6ec,7a02b2fe,3259af09,2708b475)
+,S(3e77b23d,af763a55,644c0f2,bc2bef5b,6ef5e1bb,8fdedd46,c5a2917f,7f85f9ac,55b278e9,5bb07879,9c7f0766,a2db2c79,8d4fc785,10fd021b,415b3e4c,2a4f3221)
+,S(2ac4dabf,2fec922b,c4615fba,1cd7d352,f69fbf8a,3232f783,96f8c08b,21de2965,2c33c017,76238bcf,2be6018,7f85a518,6d649425,1eff089f,a92f3eac,219f957f)
+,S(febc8a20,67da04d0,855feac7,42b2cebb,748be0f1,97e31558,68d54285,4d62c66e,aee39287,3d45e63f,f9a9d583,e105a771,e3db346d,a262bbd1,a554a8d2,65d96083)
+,S(a41174b4,a5982751,88c2d10b,d5c5401a,2654202,dc4e38d3,e1c8f689,8606a569,bc6b63b9,9fb5f85e,c6965337,e82b651d,6b589f2f,8d90f67e,3bd087e9,1f732a00)
+,S(122196cf,5d10a3af,3bb97fc6,d12f749a,907c194d,3caf2ae9,3a3a464e,5a5de220,ccf46742,b3c1e213,544e2c7c,59423fdd,674697c5,d405b2b9,46fc6e92,9304e533)
+,S(77bad5cb,104dcc7,e1bbfaa0,8c867761,9f93ec61,e8e3b73e,799b663c,2e1eadb3,889747b,ad8bdebf,48e1214d,df2522ed,4023fd8c,5ef08fea,411e8609,c6faa3cc)
+,S(1e8d4075,8c49ad41,6ad45163,73327e6e,4e3f6c89,695e15d2,f5517ebb,12d4a98b,1d16ccb0,730a619,c9b379a2,ecbc4f83,98d94aa0,d4881cd1,25968160,e3b09f4)
+,S(c87a656b,240241dd,487f4974,afb5b535,880ff2ac,f4a028cf,b1869fa5,fbb6ee42,16f25f3a,6fac9538,5ed74412,fa6a790d,34f694a8,b4c99cb7,6ddaff70,be757beb)
+,S(96b01407,482c6e88,e9769944,cce16a05,669adf16,e7393b80,71fbd9c2,4b55a4eb,b32be280,590384f0,e08d68de,38688018,82b786e2,1b178ca4,578bfffb,94b50223)
+,S(120f68b3,739562e6,81e72fb7,46d08f54,b2afd162,22e1deff,7ebbf884,6dae4af5,7c1eb74f,2b2376f9,477c6729,bd90e14d,2f4da9d,615c8743,dedc1690,300bcc78)
+,S(e64871ec,2789b455,8608be2c,f248fee8,49a4411d,285c0989,b65c5dc4,e6acd157,2980b2d1,4999b0b5,5b79ecfd,45ef91fe,f3dbfae5,d02f2145,84376294,58e10a6b)
+,S(608b1009,b20d3e2c,25324adf,c73e5c86,43daa1e2,53a8d266,eb43863,aa6798ad,826e5a03,ad5c9638,51181c68,ccf0e663,a021e13c,43efc38b,3b4fe2c8,8d0e13df)
+,S(8c978155,8132e45f,60a61435,36f4c1a8,cdc4dc2b,6850b3e5,7c65f841,a1bb152a,ca3b3098,394d81ef,a9083c5,3864f194,1875d63d,9c31b44b,a6ed4137,db7460fc)
+,S(353591a,c73b2482,f8d8e731,ce01106f,10072757,68210627,f80c8f8d,9821bf3e,2b7e3d1a,501ab469,ac6306db,2608eab,70ae8981,9f44bdf9,d4f84c7b,41eb6412)
+,S(eb2dfd88,ec357372,ece70a67,178fce32,3c387b7d,a9fda978,b05dc430,9cd78857,6f2bb6ed,1f5a5521,c441a8cf,9852372e,3dd7aa7f,ca0a1f63,18c47ef1,a24b88e4)
+,S(a41c0ff6,5db1050e,6998f3b0,7eef66dc,abd72ae9,8672c487,b29ff732,992eb279,56fa7b20,5616ff9d,f619d7f8,65210727,bc0786eb,2aacc244,ba951eee,99a99cd4)
+,S(8e748b35,f5bb1500,ca45917e,859df11,615d85ad,861bcea9,41524e57,a2217e92,55413362,e226c6a7,84bf8604,3973bc50,825515a3,96cfe66c,9ef75e3e,fca46df8)
+,S(a83f6007,cce70624,73cde2c7,b7ec7bfe,bc506c27,ccce7708,f35d535c,26dd17e5,ad48ed2d,af217e5c,63397a37,9d50d615,5a1ac614,887a2cbb,26c3b74c,626af268)
+,S(f9ed7a92,7e451624,9380246e,bfd397de,5cf208dd,b47573ab,f118afed,1282d2fa,c1574616,3a6f30f7,80d5d53c,670d380f,3c84407,b4be5324,87bbb5d,c8237b70)
+,S(a2bde78a,175ec7a6,7f917707,8f09f812,c7dff012,46c5255a,f0112672,6c2ea08e,7125698f,e82d4c0b,6d7d2741,9dc503f9,3b5dd62a,a5db9e20,b091323d,c9ca12ec)
+,S(ca8c05c7,9dcb6736,905cc0e9,b8e1690b,6b37da42,e1875a56,e62ea231,bf9899b2,504c51ca,1e19adba,66560c1e,3fba9caa,2751259d,71389996,41d0f19f,1487534c)
+,S(fc106ee,61db13ac,4137ecdd,15018278,61fd4b21,c979f97c,617b019,54eca02b,6da55a28,4fc26638,2afce9c2,cdc5a2c2,971f2cd7,5c92f08e,6bc99651,7bbef3ee)
+,S(2cb21839,f47b1068,5419a321,7ac7846f,504f674b,c2f8f90b,8b9b6a71,6492a8ab,1feb332,ae75044a,f6807feb,965e2fc8,63726433,45a97af,f1081249,f00a5757)
+,S(678c50ee,759c07ff,fca2963e,fba55edb,56ba3572,79970224,5d4f2132,5561f3ae,1989b787,abbf04c1,c93afce2,d389e1f9,780b1657,daa77107,c498bff4,aecba96c)
+,S(ab63e1ce,aa2e34d9,8215097c,30b2f266,75d407ca,41f3dda4,1b21c910,824aa6fc,ec65be61,1150ff72,715d3da2,c4541ad6,812eb7e5,7d0f4d82,4792556a,6ce2363c)
+,S(a69399ca,fad59597,5a639a2a,31264983,ec567279,b052bcc9,f5c919ae,903dd336,b525c659,c30c4f4d,a7a799dc,c93ae348,1c87304b,63491755,1c43e12e,c50d97dd)
+,S(32bf4282,507bcf5e,d25cb5ed,439c82d0,bd7a48af,d3be41fb,e13753bd,c0fc5f3e,cd92017a,4336d9fd,25682f90,be347e82,6773c598,1e80033a,c20bb695,e79bff2)
+,S(a1fcc983,7e720096,7203e2cc,11450716,f2fe6484,f681b2ec,5e42e9b8,eedfd862,1e16b6c3,17e8fb89,dfffa79a,722de49e,a419affd,bc17fa96,4ba6c316,31ed4fd7)
+,S(d85a314e,69617e50,18df1e82,21cf738b,60485cf3,3abe8838,472b32b9,7f0ceae0,71a0ffee,e92dde66,66b4b5da,a88a79b4,fbbcbacf,3308a4e8,6e1aa367,e00a52f1)
+,S(189226fa,688c70e,415b20e3,1356eac2,f5a53b5e,8043e24e,4ee03faa,f20c2e7f,d9bfd8ac,40c7d53e,7bcbe575,9987cf62,fc2bba7f,952e4eaa,1a0587de,f1515aa6)
+,S(d3542e0a,6a931162,d7a674e6,32cf2135,32465d25,4d2d9241,ff70709a,559e1330,25e8f51,e2664234,34cbe5ed,622bbd83,dbd42784,4b1f2bf,9a079917,4b57c369)
+,S(514d9e86,fb2cb612,1ec6e6b8,25875856,9a8c0a5a,adbfe45f,2876be18,753a2bc5,700785c0,be5423c4,341918d9,f65f79d9,1b8370bc,48629791,45ca8418,57cbf261)
+,S(c9f86365,12e9ccfd,e1f1db33,5ae606ab,43f9aa62,2d723f6a,d6d684a3,ea3fe495,30d3a631,3868a01c,9c6f9445,ddcbe3b9,b7b80b58,f31f5db3,a3b3beb2,1e30270b)
+,S(226f20c,8fc089fe,98cd96f,a0e790db,641200a7,2b908768,357d206f,2c2deb93,2e23fbb8,b43e9362,3fc2045,24b43da9,5e02626f,ee180cff,1c03b95a,aa5f66bc)
+,S(a1b27668,d4b6f94c,7219bd9e,6b8a7e61,9fcc79fd,88d9bda0,a38496b6,cb5350bd,3933fc5e,b6e1c16a,e7aa62bc,200fd5ed,c96b5f74,b72b9b94,2644f32d,d6d68a32)
+,S(10f13657,87bc31,1f7b7181,808eb0b,57dd4e7c,1590dae3,8c40df7e,afe28887,1a52e487,9bdc3ec,4e6c570d,91d4edce,291338b4,a79a3995,db5c6e85,e3366d84)
+,S(8aaa0ee,a984f583,f9f55861,500dc5ec,f613b3d8,8f989884,273e1841,cdbe3e46,52962154,f85277d,c02c46ab,c2f246ed,24e56458,156d97b8,f2197d22,a133260d)
+,S(32805a71,24b1b7,9b397ce5,f7a93a98,dc9472ef,a5b8b4aa,3bd66643,f1c89d2e,af525c7c,b7c139f5,cd2d0a85,82a74ed6,9e23c765,c0b882a2,f4d50e58,843091fd)
+,S(c72f10cc,909ad449,7fb0835a,4f3a520d,58db0c2,87f6ab12,cde50749,a9412451,a5666e7d,5197ba9e,37d5ff15,b64b60f3,b8e2ca32,67467030,a7a112d6,f2c7c65a)
+,S(6ec768c7,870211b2,415a74ad,c203bd41,72c0fa5a,d4c05f97,c0320865,77fc9a22,18394a22,aa2dbb0,925e6710,549c8c3,b51cbf42,db67d4d0,5da260ce,af1b09fb)
+,S(de36ebbb,ff99d156,60506143,87045fc9,a846e7d0,eef91e61,dc93a71c,3ca64737,c5817652,f3cb37b,40647dcd,a476c4e0,488208ba,1b4d0c81,b39a4b4e,900f4270)
+,S(f534155d,5538fc68,5ac01ef8,6dea6f4c,19bea322,b46a297b,c0c20ab7,3cc00218,4fab7df2,979d98ca,eeeb38a4,9a2d1253,f9d0924f,14dda603,d3d5706,b3b9523c)
+,S(dafdb850,a1db9025,80ecb98,155b687c,8db2088,d0dab521,bc7fcc1,3286129d,43965ffc,ae6c4c14,3febe601,f36fbbd2,7d0ccc50,60ffe91a,a2ef2fef,651ada22)
+,S(ac9a0a21,1dcabc85,1816893e,e33cc69e,2efe4069,680b3721,2999f9f4,99d705ce,16ebfe40,8281d2bd,ffa1e02c,2d00d712,acf64eb1,39f5ba88,79c3971b,98c728ef)
+,S(afb37bd4,b48cf6e9,5e1eb8b9,7b8b69fd,31ae2b2f,3b7aceb,1db81ebe,98503030,1ccf4164,f8d9cdd9,6f231af3,e5fa313d,c47c06de,ce44dd84,d3fcdb16,a4b7929)
+,S(1b902ef,6c294f83,3ab18e7f,21d6470c,f553682d,2b1287d5,1a602925,3888e709,7735c5ff,34e49fe7,2385e9fe,40d66a4c,66ca0102,46c724aa,24b1ecee,dcd69ebe)
+,S(6e4e5b10,8a202958,7c5b4ec3,d33220fc,c61b41c5,8c3bf0b2,55e4e28b,7c3133e2,b49f8306,5c336af4,469ea410,648915a4,b55ae504,6cea2f66,f14a99d,9a8fcfbe)
+,S(87ce3f7f,bb800210,5b853276,d3931b9,12342d98,7d81e80b,5b10d1ab,1b7e9714,56c6a847,79dbf39c,293c386,9c1e3385,6b71f898,dd46ee16,d1e1973a,4cf0f635)
+,S(8724329b,b7ba649c,9c019372,45a1e946,d368a706,2747dd0c,9f6667aa,c9426b2d,44458e8,48d7d44b,5dba5a5b,b0fa0479,55b109d5,21d170d8,9d090ff9,650b944c)
+,S(b91befa6,4735c091,32db18b6,b64d7d7f,c6338dcc,cec845cd,7d297f62,b6a1a4bc,bb3961ef,8c9b79c6,867f16cf,be4766a0,15e7ca0c,8f9f340b,14cf701d,e0138467)
+,S(4321ea59,332e97ea,3bcfbb89,68a3489c,9ae3d6b8,65cd696c,d8de3200,a0d08fb3,97e480d4,c5149d53,d7582e3f,c73a35ea,3f6b023,5ce50f7e,e31cb600,84cd538e)
+,S(dc4597b2,836d96a6,431051d2,5a98d421,7950a8d5,e88c2069,5752ca6,f6f1bc6d,c712580d,16ba30ca,e84e3a83,c35725ab,362bb4fd,e4c42ad7,f9b73f20,53df36ff)
+,S(ce644ef0,85ff3009,b261750,8de007bb,c5f19b65,2d9f8992,9972d39c,159a009,9a41d0,58db965,baa00c92,f6409ab0,c9402a69,20a66c17,c089906c,d73cc8f7)
+,S(ba1e35c,b6c7b4ba,b81aecf4,23cb8ef2,2ec439c2,584682b4,a7444e01,9936b41a,f3b3c652,f91dde46,3e178d6f,7b17a8e4,1098b33,1cead28a,d2fce694,35bd6272)
+,S(b9f98ea0,2a331bbf,60fc839f,845d8f43,6988c747,1902d14d,72ed1360,86e3920f,9fb2501,a7f23a16,cc726f5e,8aa17c12,35d9b04f,a94bb27d,318fb292,c60d03d3)
+,S(70591746,55f90f81,c478e702,ffcff930,dc10dbf1,16d7aed0,9c1a369e,807e886f,8267a0a4,b9d6f0ca,db1ec92,560aa3f7,d09d3f41,d1f36f8c,64b95509,b205a59f)
+,S(efda78bc,c43ca063,a7b6469f,84012161,14cc5a6e,4e31c31e,b76221ac,c25434bf,7b436ff6,ef45f859,f521b13,53193d13,4cdf8064,449af2aa,92be3781,56fa2864)
+,S(229a4b0f,5d62095e,3a630988,c8056aeb,35fbd874,1a2f0e,4306d094,750ccc34,170d33af,491c74e3,d2d694ce,f6a519bc,741acf35,dc6a3428,8bea3595,e234de6e)
+,S(c770f48e,20a02132,189d44b8,3acd0f93,f91860b4,81a6bf17,8ce8e2ec,6af07100,7e1120d3,8b2a191f,9ed43aca,3325beae,a6d8dbbf,7e0bf8c9,610f8621,c0266eec)
+,S(a5db2c63,3901d52,8b60a48a,20b189a9,e89b8998,3d424af8,eb74869a,f286aa44,b9961d92,6a93d5b0,1a74e6ab,d9c37eed,384e186,8051ba14,46fe1a37,24af1e50)
+,S(3ec7169e,9f330288,a63897b7,c168db9a,4b447e48,cea2c5ff,77b298,da41db1c,c3fe974d,e8e60eda,22c4aa34,ed34a4d6,4b3be268,12e58b49,e4477835,f3053fb2)
+,S(b733de17,c3311184,d5860d4c,f99e48eb,810cff93,ce92eb77,7cf2c114,fb5bf3b3,c75c0dd,72d20ad3,2000d537,ebb61571,57fc4ace,9f26a90a,d28e1a43,480c11b0)
+,S(57d6e208,d555bc24,15d49616,a158075c,27db59e,6a821df2,8b450161,6c2ed278,83870a79,d130da5a,3528e353,353b34f6,74b5d02e,6cf2a891,fca34c6c,3746eba8)
+,S(9e4234f1,aa69a478,3bf2fd3c,3208f6f2,6f069409,fdb2faab,8d792588,6ad3673d,5f9a4773,7725ebc3,e8bed041,47a05841,9fb42b16,affec29b,d753733e,288d0653)
+,S(6fe3ff9d,9fc12ffd,bd896202,fd8ae913,22e4fcf2,76068a75,8d43f1f3,9ab68173,ef0d5682,1d414608,273ef7b5,9208c59,bf94e16,3e7faa3c,2ab3da22,b509fa1b)
+,S(2c31e54f,d2586e19,efaaf415,e54cb499,54c49257,d11b161f,ff2aae5b,b45c4631,bedfb0ad,364ab1ac,e7f53c0e,9fb825e4,39af354,1a70708b,d8e0e423,13311346)
+,S(51597259,23148c3,478ea2ee,2b933858,4d745b89,49c2f782,3b8660e7,78203ebc,329f6153,f688b743,c4fdc470,25790503,b81ff7ce,5a613362,8a59f3bf,66aa1817)
+,S(188b3324,58f7d7b8,dc3fcb3b,df51ccfa,d394684,cde37d60,70d41e46,cdcaf1f4,4dea5da,d112a117,31a6b04c,8999c6a8,3d1ddec2,88aaf104,487656a4,d3901910)
+,S(92058e41,a503e158,8ceb0a49,4e13e2a8,85f804cf,7f13c90e,307372d5,cfa6e471,368072d4,449e685e,17e5a230,e2177e95,bcbe177a,58cd1510,68e7255d,84ec108a)
+,S(6a6f5226,44e06506,f27a7a68,96eac537,726f79e8,9e83105d,5b647883,34099fcf,cf3edd4b,d8ced83e,b167b664,574987f4,7104e79a,5a4b5321,4c19a32d,a5132586)
+,S(7e37cea2,340cdcc3,ca21e0ef,ad548f37,c77c3402,34f0148d,89cf926f,2376bb26,c72d829b,42a27c6a,b062938e,5cbc22a,6b02d42b,d31cb69e,83b9fe9a,cc9a0016)
+,S(1e6c2069,cf0f6cf7,bafb4b39,bc97a8dc,800d010c,52c3cc5a,d848fb82,d8d0b667,c181e76,bca1d846,86ecfbdc,2cb09140,49146986,630b7e81,f86c7238,8e60196f)
+,S(5566600f,e6eea4f7,b06336c8,d44b47ea,f36ba43c,ca404be3,5203ef5b,6f07e16,6bbbd08f,7adc1979,ed4acb4c,f372eda,69e5ac16,7695a78b,5a7fe1ce,1057e55)
+,S(435c634d,ed451c5c,21c5adc,45d94f8c,69045016,d529ba76,19ad07d9,31c791b5,31ede268,8252a50f,2206f959,1953c0ca,85009876,2b6f6c14,24b4e47,c74d4cc1)
+,S(6fb8cce6,a66071c7,395c0612,252a414d,f19a0d2a,f855e7e9,dd142342,9c57b9b6,17f94249,e2f05314,d4799fad,68232626,183dadee,abfe34c5,b845d89f,2768e052)
+,S(866f3e99,20fc4c94,9496a695,f54ee634,11c711a2,99e05890,148de8c3,2980dc36,e99c55af,4f8dc3c1,d38a11e1,3c00db2d,f5211f02,e837909b,ae188786,d18d62f7)
+,S(80c13410,b7164899,a724f723,4dcbe505,62404f0b,7c027c79,4616f618,80468b2d,8631942e,71a01e4f,d7b59281,9dc69d39,bd6e8fe1,c2c41621,6d8df895,280b91aa)
+,S(8f85bdee,ef4e9d88,53e68be,c17bb6ec,bf37abc0,a4ba44d2,c3815dc1,82a7da99,36d45bdf,8ae9342c,af0f8ce7,8aa591a3,4e8c295e,49ee6962,b4a9fb7e,ee17897e)
+,S(9cd0b2b,3393cda6,ccedaf4,ee8a1b3,17a920e4,826da2aa,4404a01a,49600749,3831d35a,51d9650b,b1901e34,8f0c4ea2,3a00c492,a4960463,414e5dee,aafc5a5a)
+,S(a0c5f1af,15c67ffd,6cf832f7,974c779a,3ab7ca,dffa32d3,bdbe0377,d49f33b0,6aff40d4,42de6262,41734412,3620c5ff,3079392b,b8843c57,80029682,1cb91ec)
+,S(af396f40,13e217,d7e1fbf0,2ec4039e,c0111370,37cb2d78,90a82313,58edfacc,aaaeb9e2,5a57534a,2dc35d16,705f0e5d,6754c599,e85864bc,936e94f5,9acfb936)
+,S(fdac3c57,e3e0ecc5,e7e871b0,dbe35979,87d4c071,f2f89307,cf1e71c4,91ed0eaf,3028a0cc,a22ef096,73c877af,ccfe36d6,b14d14ff,5da10b18,cdee6068,3ca09fc7)
+,S(e3aeb123,9587baa9,ae12b6a9,68efaedc,ae745fd6,aac5103e,14a471d9,eefa88b7,7ed1c786,52c1544b,e306833f,bb27d1a5,7b460305,a2c8f6cd,2d33397b,caf769c7)
+,S(96baede3,382a0162,fb4cc663,c91acb94,eb83d7a,3e3e0a0e,6055a50c,d78352f5,78722e97,b3ad2824,388c3a80,fb930089,5100d61,ea58f997,2adae059,f0c50cbc)
+,S(68704956,16975637,f35e1eda,4db546fe,ba93d122,446a3e40,8de04ee2,3bf5f5b5,6247d2fe,b5f7471f,3a06c7a2,4c4261a,934bd226,772405ff,46e361bc,614ca494)
+,S(71ccc634,2ca1f858,8ae02d72,eb0dd2b3,62eaf652,f83edad7,94095e09,f4bcf749,487aebd9,23b10e69,4a8e3f22,2703e5a1,aee17794,42a96c68,6cb9f983,dd2a45fb)
+,S(6fda1dd0,65739a2e,58cd183,1e8b6109,713844ba,f249cdff,25d0b3ec,f635d3f0,a2ee44f4,8afccb72,4f8a96c3,2a88a8b0,a232a93d,553713df,60a965f5,2078108e)
+,S(d3f27709,ff5ad97b,45e395c1,39947115,65cbfcf5,838e7b64,b1016cc6,d5147f45,f96cac16,cdc8e1c3,54e026ed,29bbd6c7,29006ee1,51d9d61a,4391567,93265077)
+,S(27ba1944,a28a6eff,78a7d064,bb8292c6,68f82793,8e2be786,41ee366e,a4a011d6,24bef875,9d216430,e7312fc9,458f0571,fcbe305d,574694d0,a77f7a98,4e7bdcab)
+,S(fd37b812,5fd87ce0,82fca9ff,7872e0e9,772f4c44,1870748e,e35e7d00,944fe190,9450a525,d9ae198d,db9b8c43,fb337df2,8ec68a44,60106951,1847b9a0,27dcb453)
+,S(d9967cca,92583e0d,8d329b63,f32a8017,4467518a,595d8b80,2c24cc8a,8e071c69,6aca3673,c2c39d69,3bc86dbb,92e5af27,28361cd3,2179eab9,7ed64ae9,73376c25)
+,S(8ee82d3c,4a8d01eb,d22798ef,bfd95c16,f53cd45f,e3d044f,3d89ed40,b94a0a3c,e0b0ab7e,9167fb9d,aa71c3a,fd5b9c0b,79c8b6a0,db3ae2f0,36c626c7,791e1b2d)
+,S(461ec3d2,817cb549,a9fea029,15029707,8d709ccd,bf22da47,64c8a1db,c562caa,661b2d7d,cb5c9790,510f6e12,61650401,26cdf80d,b086259a,db16af47,af6684af)
+,S(3155885c,935caed,469bb7ff,b53ff6b8,59f51780,f3de5890,673101bd,41f5793e,603594e9,92ac108f,8d0bbdfe,8f3576e,8ca6ac2,69c7581e,28d434ce,2043dfff)
+,S(5cac93b0,ad9199c1,906267a0,ad8874e4,c68a60a2,b9fb6f0d,cad42758,2a4ea9eb,836faa98,a116dab9,69961fe7,ad7483eb,c48e7295,37e6634a,e423b99,880032ab)
+,S(1fb6d3ac,afd5ef56,8b6eea1c,4a8f0179,54d05274,24487904,7e3ec56c,6956cc42,b8ef91f2,f89e4f32,6df6a1ec,50c6362,7431be48,1183c839,3133dafd,2e2a5411)
+,S(89c0b1e1,52f0005d,a30618f0,3fdee7b3,69fe0157,f7bb2bdc,d31fc773,d82b28f2,61d6e357,bbf46816,acd05de5,b26c67b5,ad8223d8,ac9f47a9,25477ab1,80b4a507)
+,S(7c5d18b,1f9d1afc,d663875a,34193240,7cb968be,f31d751,807ab1b,b79a211e,45fbe7ea,985bda0f,bd23b449,5d4e945f,d136b5b1,296c9b3b,6dcb9c37,bc779ff3)
+,S(c827cfc1,9393108c,9b31ad4d,b5eb7f00,b6afdad3,a5e2f792,ddf9dd13,f159f85c,5c5fe07a,3025d401,54fe12fc,89951e2c,330ea3d,d6335a12,9c31aaa6,753a1cb1)
+,S(6347b32b,b1f3f7dc,205e2fa4,6b201b4,2e0dfa80,550741e6,57117875,57cc5d9b,f8f30e10,9508d34c,a48d7255,3f8ac26d,a455d3f3,b170ee52,e22be1a3,ae8c3ba4)
+,S(d489f595,e822101d,5f6e4283,7db032ae,bfa21f3a,94998130,e0a1d226,67ae1014,8b112e89,8dc4a146,8f64c33d,1261f8c9,2bfa98df,eb9500c2,2b4a66d9,227c66a9)
+,S(90cb9c63,fb4afbce,adeb8f98,1e76a645,2200d73,d43bc0b2,76f058dc,b8a6205b,894afdc0,f6ba7f1a,bbaf19c6,720471d8,2611a77b,5bf6c87b,a02324ce,52e74645)
+,S(40df68bb,19f121f4,e566a1be,f0a98954,869bb06c,699e818b,bc49a795,6a196af4,70d41c09,d0cedf7c,31c9f830,3610f6b6,e1d6b3d2,a431e69d,a31bdd63,220cec90)
+,S(4936fd74,a0ac5045,91c962b6,431f17fc,a888dd1e,b35549d7,8b41143a,83da41bf,33a8e1dd,6517853e,d7c68af8,5b3f1cf5,3fc5b72b,5dd0f392,c5ab5ff2,1bff4f92)
+,S(17177538,811075b8,f5baad59,2958074b,c1a0c6e7,b2a3f594,288e82b0,da023557,583d4814,efd8742c,5e7a0c5f,734da121,b163fe28,239a8775,4bbb072,c1b10837)
+,S(a126b7fb,ad5145ea,b414c82d,8f21f208,6abb118f,3692bab,586770cf,4f8926a2,79b4ac17,b601b4d2,1a2bfdb7,41f7fec2,88d46594,699e4394,452cb2d1,ae2ec669)
+,S(51eccf61,f8840048,d55de51,2d865a52,3485db8d,869844fd,ba30e703,ae871163,594ad253,97bdc9f0,82c0c46a,200ea090,12b2c6a9,57a53dce,e87caed3,2ea8d50f)
+,S(97781633,6f1b7131,f55966cc,a79d25af,d8984438,8b516882,5105ba3b,52b3c7a9,f1df3541,b4b08fe0,cdda20e0,a5275eb6,105011ee,f4355516,e47e89d9,3b214c60)
+,S(8bc2c43a,72248dab,5c78cf6d,b1a35ce8,64231d3a,870bbf01,cdb79be0,2c93f7fe,d52e2e76,173e9dbf,9e8106a,ffbb9d7b,b428f07,80269b2e,f49bbe0e,14cbb425)
+,S(59ed7881,6c7ca119,ca4abd03,34b90b37,6c327175,e899e0d9,79953e50,5aef9f2,239fc027,690c0feb,e4db46a2,8669e0da,20779425,34bc6133,152a606a,16449910)
+,S(bec399d1,76714995,d4192390,72a39c59,c8ff8e9a,2cab6520,ca0cf6b,2fc70fda,ffc4bdef,7831208d,23a1ab9a,de52f346,a21a2f7c,efc5ffbf,70999bfd,ad0ba8e7)
+,S(93bd25ee,f4cef1db,fa5f9951,7d22a77d,9e3b87db,58c63076,68a35885,9e0c4d34,dd7d1412,97361b84,9a43b1f9,4f89970d,fa008c63,3404860,794e6a87,6735b4dc)
+,S(b203a657,fb4e4d51,158b2e70,87455a57,44e553c5,bdea4f8e,3e8e6c92,eddcf58,98246948,c63e182,61f0d4c7,543fba7b,c74ae5a7,a19afa6a,ac80359,5ed8c99c)
+,S(af38b53c,1dcd27b5,8118a28d,11da8aaa,3e20ac21,4cff64e7,be683dd,80f6aa69,91e38936,ba8b2b42,34686723,7a3fac67,5ec10179,18f8ac16,acdc32f9,c09fd919)
+,S(55e4da5b,b99d805,e2058756,20ab4cee,988ed472,f5e6d86,2f8c574f,6bfd8518,7368be34,75179d32,e15b5976,c34c366e,e7713b25,8f179309,40b16117,aceb2d35)
+,S(d3d7e82a,a7ebe240,83e1a15e,1d817d91,a3608c6d,d25a35d9,183a0c9,e42133f5,a5245cc,e89537c6,895080b0,6c5e2772,4b1c6d69,6c1bfbfc,ae6a7d4f,fc5d504b)
+,S(8bd14f9f,e6b54437,9761e803,1dcc9907,beab754b,68c6c3f2,2316e5a6,6ee48799,f89dc150,a3876257,51663a26,35633868,ecb2eb27,d9ae8603,89110aff,6978fe19)
+,S(b1d72365,3f50f42,cfeb0858,972a5a22,3a7dbc5b,4823704,85c88fd2,22212932,40597dd8,594ee1f9,b74aa52d,385b21dd,6279864e,7d0255,70bf3716,c02143ac)
+,S(44d303e1,cb7d920c,93be4763,e045cef5,c22d4403,5e1d3a8,593f4f72,679d3023,79fbdefc,5ed6da2f,31bd6fcc,83e3cee3,e77e41a9,a01b2004,76912c61,5d89a70c)
+,S(1655ec54,447aaae9,727bd4b9,60eb996,92558999,83d4aed,3dfeba12,3b0cb3ca,8e90e578,cf96e31e,988f7bf8,a9f06d94,6ea28fa6,b1dad744,3b9ece50,6626fcdf)
+,S(b02ae3fb,530566bf,66da9326,18990e6e,7902b104,800cacb1,9717bb7d,845a3f29,c6d32713,f4483031,19bb7631,1b397427,d8c05232,92a61051,62a0307d,7b006876)
+,S(13c46566,53a0042b,8755e140,2b12b9ad,8e123699,a153ec6e,65e49cd,10c5bcd3,70f3672c,498f603e,3c521ea4,3ac3e10,7bab13a8,a78b02b0,4492c51,6d41c88)
+,S(e7c7562b,3fc37b8,2e9c7bff,c5e97b39,dee483f,141df4c6,361eda3c,4f1483f,734be460,3d2b4958,c1bdce51,57a16d0e,1a937298,1dbb2833,1b12f8e6,c3454066)
+,S(de025d2d,fb6cfc75,342b2ed1,ebc7b27f,332f3921,c304b8d2,263d7fba,2959aefc,46c609b1,6ab6f3d0,2dafc30c,38373a30,1a88c31d,80694598,5e676f1c,16de12f1)
+,S(21e788b4,fed21c3d,25ddb714,abaf053a,25730af4,83817e4b,6a42c323,3eca2e01,1fe716bd,a7d07592,b66af9b8,32335b9d,b249b1f9,cd413c58,ddd29fda,e5c1c4c6)
+,S(a7db27ca,7481d50b,1a458242,c75b28e6,d1bc1a9d,da97e012,e39cff10,7b79edce,c4f8686d,cabde6c1,d3455fc1,795a7cc4,84239d2,3b11e238,85136183,71ae73f8)
+,S(c5205173,2790f240,e2161627,5ac894cd,e80a7d3e,bd5bdccf,41af64b6,5e2d477a,e9aa295b,209410a0,f0e8e216,deadc3f8,af87700a,40543cda,463beac9,f62ba20b)
+,S(487bf4ad,99d1daeb,f1c25f86,d36ebcd9,38e91eea,8b855d05,ea9371c4,9572846d,81293837,ac6ded0b,ee04b2a5,4c18ae0,32f72970,86de0ffe,791a9576,fcfebf70)
+,S(bd6dd2a6,bfcf688b,84fe2d55,e56025d,35567574,20edfcb1,3cd14483,e08cb53,c86a45e1,84c83806,38ea1501,c2851598,c467d2c,d1c51a1a,1b037324,d9ab0fca)
+,S(94a417fd,fbf188e4,1334fbb6,906731e8,70dbca18,672bece7,936a4c7c,235ec737,e03c6607,343ec14b,81eaf124,bcfb7d97,564e9f93,546f9765,299a443,d9be8e34)
+,S(2a57dac3,3fa13b26,a96d9b73,317a23c0,2ac597d3,3968fa8,ebd88d94,66aba51e,1754a6bf,1db7b3b8,b0a7996e,545f34fd,3b05bfd9,805b50c4,42db2937,e8c13b61)
+,S(ba2e4a71,6142a39,67c613e9,93083c32,d1c66da1,2c3f9742,eae90b7f,ec7e7df7,c262f8c1,a704e83b,ed7fc60c,5adec65e,ccc6de35,8247cc97,1da7acfe,834cb07e)
+,S(4ae19743,b3132512,d28a12b1,1fbbd824,8bb0b9a,730d5a8,a862ea8,ecc01ca9,67b7267d,48fa3ea1,d1c1ec7c,a6a8ba0,cb27883c,3f9d4193,20b4c8f7,a017eece)
+,S(4cfb26c,81823667,f18e6ff9,d77493f0,778b9bf,411b63ad,61850ea7,7706ddcb,10df8a3e,3a8c93df,4d7af16,407c3211,aa6c6079,c397a0c7,78e1e277,24e4028e)
+,S(9f9e4566,a014b66f,fbc3ef,b3c05062,15f06102,6f7d6561,934d3db9,5d130349,492b8ba2,76d526bb,98fd0c17,c5a0aa7a,ab6e5c9c,ccfc95fb,a417d25,9396c592)
+,S(e36c0513,3641b560,b0f9f4c1,1159e2f,ecf2a194,b55f3bd2,22ecf1f6,ac239301,c7fd74ba,48e7fc40,6322aea8,e9f83a82,20e9a113,ac2b0c7f,aa05a5bd,bb43736c)
+,S(91b013b3,b94d4568,78737580,bf1da11a,a0bbe0a4,e3ec65e0,33e9f824,d8480bbf,15e3707e,c13a2529,22a6f824,7e33d172,948790ac,3d367f00,6472f22b,e8cfc5b4)
+,S(254d1788,8c676d52,236782de,2d539f2c,41f667a,d75d0107,7d43f723,ea324f56,f7042d2e,93511e5d,13f4aa03,bb2dbf27,9bec3df,97974275,5fd25133,c814094a)
+,S(452d6b7e,ce7d0f71,2afabe44,2a22f16e,34fce662,99697f0b,6135678,56f4079a,21ea8ba1,28cffe76,3400d69f,ce13204a,9a39ee59,14132d23,db3315a4,7f776998)
+,S(1580b9d0,7888f41,81b86b85,5b1982d2,81783185,5f28c163,1f151479,cc4c508b,4d9d1e9c,78b3d9dd,73bcbbe8,778c1b7f,65b69faa,f6576dc3,ecdd00f5,c1d689ff)
+,S(79dda23f,c31694c9,16d1470c,2cf25a02,45a5aa7e,d084af45,c43960a,a2fc2700,7c7bc169,a58b8d8c,c4b74e0f,377031ce,d7158c21,a156fc03,c34f25a3,a95bc978)
+,S(866da7a9,bf80cdc2,13e500af,b5f4aa0e,419b4905,44653b5,fe2daee1,4149dbe6,626d38b3,b45d57aa,6867e8ad,c8abc49a,81a282c,6bc6524b,239819ab,766bd3d7)
+,S(432bc912,bed271e9,321624cf,c6062b96,cdb502ca,f990522e,1024b80b,9411d374,e645449e,dd7c4d41,41e0cc5a,cc5d45df,4cb341c2,baebb605,bcdce6a3,e411cf01)
+,S(ac3d3b28,83ec385a,15297086,525d937b,717f5ad,83a5be4,77b3ec9f,6410518e,d126eefc,c9ed7e75,c10d01b2,c0e790e7,3dde58f9,54185a12,5fcc7268,84b9b8db)
+,S(4570834b,2a82385d,6db696d9,56ae2667,fa18b262,960d064a,5c13da43,abd6aa37,1e9d6083,b249bf88,7ba2eb59,a9597e7,d9d15c64,ad6404e1,21a486b0,61236f28)
+,S(88e9a6a0,ffaae05b,7c29bf79,2163c0aa,b224b051,36aeffd3,341355d4,b983ef15,ed382a2d,fa2f63ea,dc4ef5e2,579abafc,fe457475,d1ae8413,99969324,718d1e5a)
+,S(16810eb4,de3327c6,a505663d,cad7f618,b397033b,d6c9748c,4fd8748,2adff706,352ebd8,91326c9d,2159e84c,40dc29ae,30693b7e,5a9ed119,1fbc2cf,ee60c81b)
+,S(d7d03a92,95064981,1cdc6503,588d157c,88c861d9,43fa9cab,e2e3301c,994adf7b,8c820bfe,933c2c05,1ca3042d,5ce781e6,ef419c8f,d9aa83ef,2a915e36,382f9627)
+,S(5b2c9504,f645ac90,24e25c4a,e880ce7b,f33aed77,e45518d9,1c6f2652,ddcf11b0,500b37bc,c7764f32,11d681e5,e8f2a407,440e1da2,4eaec354,fc289c76,29296449)
+,S(d18e26ed,d2c78bbc,16982675,9d59eec3,bab1a64d,f579dc2d,6284add4,8cfbd761,1a1e0172,37a3e78,8fd8989a,a5bb6944,685915da,1392e1a4,4a6c7ef5,7d0770c3)
+,S(5f6b1416,9bbc4795,8ca21e88,df252546,dc9e46bf,85d64772,24f34ce2,8e58222d,3a8e7616,4d5a0501,947ca0bf,163e64bb,3a57918d,e383c600,e02aadaf,4b7fd6a6)
+,S(d7a625e8,dcc8b456,69802023,8fe85691,ec2e050a,25421373,39bdbc8a,f762bc7,8f1f9935,a8ce2607,abd7bcbc,fec1fd8c,208683a7,10000806,20d50b4d,36ea3643)
+,S(a56a5419,72aea4f7,15dc891b,3a1b34ea,7ffb42c9,5e02a771,6bac663e,8d5913f9,47b3dfcd,ad785671,180f7bbf,a7f5d144,59b44023,640e3897,1e999a90,6bc3f994)
+,S(1ebb89d7,e574cbd1,37b1a3cd,4a306b44,30325db3,361b7c3a,d93116fa,baade31e,2039c52f,bd30c84b,4983d118,5422a342,ee020c33,49357e6c,b9550075,38da4dc7)
+,S(b5728208,931a6575,4b5cd1a4,a798ec27,e189effa,3ee4f0c5,ad493a88,b49706fe,aba785e7,2da3d301,cb29a612,562078bf,358f680a,317836c2,14ddf7d1,bede9ee)
+,S(56661670,d67b7c77,202a00de,effc1ef6,f5162a97,47afca8a,a2457c85,85a775c9,adaf08e1,83bc5107,4c55122,e549d3c1,4de8a893,39f199b2,ea044a25,4d8803f6)
+,S(18ab56e1,ecc86b69,77104243,35737b51,c18521d1,b170a3e9,3fd068f0,ddf2704d,cc694c3f,43bfba9b,20c9572c,acb30563,df74f07e,ce1ff9ff,46b8259e,8119e94a)
+,S(bc12a874,48270360,1575b754,bf5f50f,6e945185,2e0f27c3,c1aa0f1b,ce0ac357,9c6ce76b,ac175ce1,d667783c,7204ace4,abe12d56,62ff36f9,5de017c6,f1ada1e9)
+,S(a4494c26,99b2da0d,6edbdd6c,353eca75,75666796,5ddbe457,2c27ac46,79054584,589804d5,8360a9e7,d3e2a914,61d5b1ba,e8f0cf69,3b8add03,5545386d,5082d621)
+,S(1ff846f9,6d0e4e7e,be34de77,d036a027,f1baf9e2,ea3dc9c7,8284ac9c,ce3aea6e,8a0a336b,9f0e3560,31f5d1a8,d4c0b68f,27ba3eef,a52dc974,8d03e12d,653f2e6a)
+,S(33181aae,91573ddc,728839e0,4173f716,6862d724,35744099,ffa8f1f2,9510b374,1252129a,8cc8ce4c,1ddaaa0a,4c34c4a5,f01ee26b,3e1a9fed,ad0e7c9f,bdc5223e)
+,S(e687832d,fb0e44ae,f7649b15,77274a94,64426406,fe4c6ae5,7028c9e5,78012594,5e5b3897,6b734b7,b65caec8,c77ffb7f,c5de4f98,eecab002,8cac0c4a,a513b7c0)
+,S(354bbec3,ed9371ac,58174b5e,2a18c76c,c22951,df4c6aa5,755c72f3,94b37def,40d0c876,9283416d,b3613ac7,37401e3f,3c2f4def,bbaba44b,5c2a83fc,c614c29a)
+,S(fa46ac6c,5205b81f,3c9e8aa6,8b5ebef2,a8bc68bf,fa2f4511,ae36f726,7439a485,3853f9fa,b016d2a8,1cde37b,13f91185,f25657a,765fbb35,c1b4d52e,3f67d180)
+,S(426f86b7,33255f8e,1e85263c,923fb86e,56a53d77,945f6688,5627ed43,3024328c,92ec0168,5301c89d,5b13c4c4,57b22215,658c6341,6aff9148,6a2efbcd,4e8c4fdf)
+,S(5c8d1c9b,f9a72d5b,e15d3f4d,17d48cf1,7685dfec,b5ae1ede,b47b6e58,80bc64e3,6205550e,286c8150,6638a3c7,c20f0dec,b6a26b53,641d2dc4,e18d0f7d,29bda7e5)
+,S(3a021dbc,7bf7501f,ddc31356,26a9cb01,be673373,fa663c80,271be570,e683422f,64a89c54,ddadf89,784e508a,d056492a,a7a71b82,485fcfff,54c7b0de,4c1bfa53)
+,S(8d82aa49,1d719f00,75d2dd9,11d642da,7c0062c3,2296726f,a504af27,23ba47bb,6e616f50,6d1478f6,988ed10d,6c6d3c50,7c2ae8fd,4760e699,1ff5c62c,53e4e77a)
+,S(6feee988,fe488e1a,6ed5d60e,fcac1b3d,bbe5451,6e7aad76,f27f08e5,3c5e536f,ee9f95,839fba96,ba26d848,425b68a0,73dcee61,35e04eef,f482998c,b044c502)
+,S(36240979,bafd0d57,72fcadc7,314093c6,3063880a,e895ce5d,2df3e59c,ae16fa1b,619d0376,58ef3d85,a7afe326,77d832cb,eb20820c,157836ca,65f17c61,c84afa48)
+,S(4c2b8847,4da56053,c2046fc3,26e81704,b78494c,91877407,9984a3,cf6a18f4,459a9e69,17a4d711,61ca0b43,85c5a823,734286e3,d0cab398,dda1fe21,3b28142c)
+,S(f921c9fd,b33211ba,a7f4eb5b,15044c34,d6e54f50,af7b85ad,84e12fba,b1478ac2,38cda9b8,c850483e,48c6b16a,5f7f624d,e31faec3,5cd594f9,3171490f,ae016973)
+,S(a57769e6,6181d68f,8f86c8a7,da3fdb4e,850ae07d,f41e78b8,ca42c6b2,1b19b257,212a987e,644bc42b,f757e00d,54d50ba5,1dcd6698,280f8eb3,8829dafc,527cfc6c)
+,S(95a78104,37abecad,888c9195,23c9b16b,375a2714,fed74639,1ea949a,c7c11d9f,eae320aa,227b056b,242723df,1f11a494,ec642876,91a22748,9e1ecb2,a2cfdf78)
+,S(76a7e034,f7ef3e14,2ada9a64,ce984008,9f034a5d,8584a0e5,d10d40f4,29cfa42a,999dc0e4,9633eb3c,2a4ec931,9bc2eedc,9f2e4996,522a2404,79c9468b,668effa2)
+,S(eba89396,47567805,1cddf92,9db7d82d,427010cd,5e94247d,f4e8cd1e,eb5881d6,b92ae1f1,c0885214,3f37d8be,616cc5d6,aebe0f8a,8da4a6a5,d4a69b5,dbbca552)
+,S(a53a48d8,59fe156,6b14f872,aaed4735,dc0b7589,713ce8ad,dd3f3e1d,6e23704f,9e738da0,7e85a3a8,3d89403f,3ee7d564,4f463418,676cea0d,2528b515,39387fb6)
+,S(8326590b,dba5f8a3,8e39b148,105063a7,c831cdf9,98288fb5,95b4fd5e,a707d3bc,a02cf88,a2a1dd25,2d00d62e,cfa4130f,61b7d4f,297e6b06,cb4661b2,bf768982)
+,S(6a492194,ba8c10bf,e31714a2,17a74b2f,b0c35a2c,95c54af,7f5ac6df,17916030,3cf0bd65,8e0c937a,92ee8b4f,b4fc3289,c531cd00,6febd45d,b6b6c522,f8c77b87)
+,S(b4ac71c6,ff797eed,61d80c49,46ba221d,3b34bf13,7e3d4747,4b6c3068,33c52a57,46acb2e4,8fb6fefc,ef3d2343,4624e0d6,14ae3b60,df813683,90503506,d52820f7)
+,S(8b11711e,65bc29e1,16bf05b4,e557b211,13b19b93,a1c1ef9b,49a19316,c286e0bc,79c4a0cf,cf383538,21ad695e,5b4eae58,faa6bcf5,c722c491,aa9078c,8aaf0dde)
+,S(b8b00a76,e86b2579,97603f82,e80fde24,727362c3,6d7a192d,8974f643,4408e098,5db6718,8b0108dd,7cc6fa1c,fead7b2e,9e0b9ffb,78487d0a,5851b6f8,513e56c6)
+,S(884c3a1b,fb6b968,53427a8f,69b713c6,bebe8f69,645fa52,c50e2d2d,61d89814,3dacc0e5,94b2eef,3743f821,df54dec0,ff28aa4b,d5b18fbf,14d658ce,7a3749b)
+,S(3d0c1dcf,51aabf63,fe04100d,cbf6fb4e,c004dd1a,aeb637d8,496a47f9,74637596,576ebd5b,bf5de2cd,6242a6f,599fbb76,883fe013,3e2ef05d,22843236,a5df51c)
+,S(56b3edaf,61539adc,25c57f79,a277b77f,1ae972b6,3d5328fa,13f811e2,dabca8c7,40383900,a2b28602,71ab3d2b,5dda95d0,96bdfbab,79b3d347,dbdac66d,2d2e98eb)
+,S(426e29bf,50f34c9f,434eacfa,845485fe,5fbb11d8,319f9457,a74905fb,2bcfd3e2,eac47ee8,eeff40c6,20d10cd5,c3b9df40,eeb60b88,df1f57a3,5d613198,33cb117a)
+,S(955737c9,f4e24d7e,c6d419ba,a2edadc7,cf0a91fb,5bfc3ea6,7ed50ca7,62929308,97bbb89d,18fd9040,2fa78314,359bf645,b69831b5,bb82e608,67baceed,481675dd)
+,S(5d72a813,d46427a0,f2fae639,fd7e7ad0,704e74a0,83a784a1,cbb85017,e8b3e514,c92f410e,851fc61e,559d6839,a99eb95a,2e8c2636,f51c45ac,9bc1613c,b8876c2f)
+,S(c7da9359,e9bc8890,620876d9,170495c2,dda7849c,7852406,22551bb7,e769b6ef,12278168,71508d00,95d90787,24a0c7d9,cb41f6c5,c82f01c6,d3794c3f,5c10653)
+,S(67080a26,da7af0fd,c2fee080,f20ae516,d92697d7,fe1adace,9729064f,569ac683,ad9a07ac,fbba708b,30944107,e510eac0,8e08c5ce,79f77714,aa522cfc,2316d94d)
+,S(210d5a39,d61428f7,6f878ddc,82e3afae,3947f404,5c155a41,63a00570,5bfc0dbf,617effe6,b0a629c2,ed14cc29,67a9193c,2efa804c,93e997ac,96eb1803,2e8c511c)
+,S(5d0b9231,ca1511b9,c53242a9,37837d13,9b8e461c,6ff655fc,59021d04,e334ed98,c8070121,f4794eda,713ae1b4,a9e7d6cd,1a2f58e1,f6f8d986,bd13a66e,bfe924ae)
+,S(687bb82c,42101161,ed0c8bd5,44c71975,9013fe2a,fcd10ab6,3ce78a67,e2907392,eaf63d87,758aa3a6,f9fc721c,f8b209cf,fafc8e81,10397e35,6a25e966,100d9eeb)
+,S(51a44157,b8048f68,1a2a3931,ff2c3ff3,c63527d1,f4bccda4,e66a6d1,ce5f5d33,6ffc8d16,519c2940,14fdc8f4,20a63890,1a0c5667,2db96a1e,c5127fe9,e847dd31)
+,S(b2862572,56f515a3,5624786a,478c3bfc,a5dd7b2,2bd7c4f9,89f70bcb,8de86775,22ae96a8,a5a5396,b7a67e5b,29292ffa,f53b64de,45f17692,abcd932d,4664f3a3)
+,S(f76b721e,201078ca,eebd89a5,ca396213,6ee129bc,fb92ae58,4bb7c7fe,835bc30,599c6ab1,8419840,3d6b3d17,161bafff,223a0a38,1e96a4b7,a062f4a3,e6c0d561)
+,S(12f24a87,63adee06,e82f20b7,ff696911,d9a3b88b,36dedb97,93b07c34,c4178e9c,59fd7b9f,96f01fb7,b265d939,c2827bee,b2427fdf,8c2e1b7,35178d58,e055b7f1)
+,S(9e1b8a90,de6c6bbe,2a082d47,758240cc,bcfaf145,c48f90ce,fa0221e3,1922260a,fa5e86a5,b54bd9e0,7c2a54f4,2097d004,8a71eb06,ea48c0a6,6cda5981,b390f9f)
+,S(63f05903,20b73eb7,b01b6a66,e28e31f1,ed4117f8,6c4d20a3,8c109031,2fbaae9c,24b8c9d2,d34a81fe,6e88967,a263877f,40bd68ca,baf5d9c5,1abe8b1,9501d8eb)
+,S(447c7409,f5402a3d,a1f569a4,ad9f2855,e5c89b6e,99c743a8,e27992b4,63905999,d44e8d9a,b34a7a09,47b37723,be016c08,716baa73,8b93f28d,b7790370,ad49e154)
+,S(74a4406a,4c5340af,ab77db0c,20f197e4,25eed4f4,a3f986df,1bbf10df,f8793254,162d678a,a4ba712,8cd36907,d1c46b16,dc4c07bc,52aa46d,fc7987eb,67742023)
+,S(f7035171,31872637,ab0e63cc,841cc7b6,2bf5e076,53a45ff,3a23246e,8f047c07,c84b0391,4f470785,721762a9,5972b59e,b3c7eec9,66718936,ccaee9c1,da1097ef)
+,S(ec4fe07b,57b23581,2c53bd70,6b0a4152,2194d168,dca164f6,ac999f6f,72eaae11,af495291,45deb29f,ec2b1dc4,e9b76051,b2f9df79,bdd304d7,b5528f5c,a2fff789)
+,S(17156de8,fa96174f,7a0b274e,e168d0d4,c6552047,11f36388,78dbab4a,cdd2ac9d,2ae3ec4,36c1460c,984e37ed,6decb88f,c2de9f84,79e28ca6,abb6803f,1461ac3d)
+,S(e41b462b,9c5a47fa,cfa9be56,dd30cd,549cb90c,9506a6a,abfca643,9a1b2ede,108fe2b2,8bda60a,c68fb353,38c6958f,e1b3604c,22215311,d380bf11,17507f4)
+,S(ba6c0159,20a67883,d7880051,51a8038f,f357ea78,c53b95ad,38a6f437,7744aa38,da49c0e7,deb6b746,83366aa5,c0e8e710,cda1441b,6686f680,4579b5b9,16002cf3)
+,S(26f0186e,883a4b6b,87102ab7,f7e52663,7e8a9553,8495729c,ee283568,f8cbf1ae,eef8de4,bb2197ca,ccd51980,995a18a0,aad78823,75702d3,98b245db,4bd5f47a)
+,S(10b93de,80c0cebc,351b5588,c0140e63,e00874e3,da663cdd,c4501ca5,b40c9d22,ed3189dd,f79af36b,e7986b02,7ec495ec,1dfef7f2,14358284,2d05b4d0,1c903258)
+,S(e79ec274,337a82c1,c97b32da,8f5a8c55,7a159540,76c94255,8bc9a3e7,77769dde,9f23079f,22dafce3,54a4c175,d888f3ee,e527dad9,83d7502c,3b651762,628a06f6)
+,S(fda0175,44f0ad3f,c8b9915e,8e0caa4,2be265e3,92041b0c,1b7d31a1,6fc101e1,424e9a27,85d59c6e,bc7e4298,1a505733,e4d49a76,b84a030d,db2f5c1,858902e7)
+,S(681f01cb,5380cdfe,50314725,88bc830c,8327d8a3,cbcfdb31,577cf11b,a099c6bd,bf9d2117,cdc3b05f,9c06cef0,6fc9e757,59c02fad,8e0d98cd,794918,f39002bc)
+,S(70c25a6b,2a2d2cc2,dd251f4d,9aca250b,d6fe9f8d,b9eff961,1de2095c,dbd12f64,c9eeaf68,a386b2cf,cd3f4dc4,793ea5b7,134dae04,d991e1f4,6b299a4d,1a966126)
+,S(464ded2c,404b42d4,fefd5ea4,5f408666,3b466e85,fe8b304,3b121b8,9fccbb9d,ac113904,6ad3f613,23ad2d3e,a568367,610bb47b,e41a5260,79627122,105d910b)
+,S(a32df72,48e79198,5d455109,a8c5dfc1,b7ff8990,1b5ce3f0,2ad2f134,13a103db,6db4b4fb,9d60906b,9aea2d1d,876296c8,cf9ad8d3,3e65e173,8212134a,4b160e72)
+,S(fe49ce9e,7ee5d39c,97029774,64ec4fea,3ccb74dc,2a5c7fe9,a7695315,165179a,653f553a,35925dce,eefb9866,26155723,90bfc582,b4c426e6,3f58f0fa,3fe7dc8c)
+,S(868b2e55,c895a7c2,4da24750,c126b10d,ec0f1a0a,2add5a87,8aa7316e,3354ad14,5e288874,cdea19fd,71f03594,1a6291bc,776bca82,804324,efb61f24,7ac299ef)
+,S(fe0790da,90ae34c6,8ad3f1c0,80fc486b,d267ff7e,fd32d1ae,c63d08b5,8c098461,ad331393,de35b283,471a0244,422c6132,cdbfccdb,5680bef4,16f3beaf,6cf7177e)
+,S(fe7fca8d,f4f80dc,ff16b196,167dfefa,42a23bf5,66837955,7f6d8279,6fe9a9d9,bbc4dd8a,d7ee925,dd80cb3d,681476ae,ccc5729c,e1815b1e,71c8f1cb,d8d4eb3b)
+,S(a236c270,aa4ce20b,eb51b11b,511cf4c2,ae797598,e9f03fd2,3aa36858,9434cfc2,593599c5,75a7bdeb,41cc3ade,608c210a,8bc37040,fbb69f4c,4863a31f,2088f29b)
+,S(d6a04a5,6bb8c27f,3ea8a348,538364e2,800472ea,d9e1f644,565546fc,76519248,4b95470d,50b97629,22b099ab,a5761243,dbf6e466,226e8e07,9b77069a,b542deb9)
+,S(d09cd377,d64a045f,e1a76f97,4d701a24,67773228,3261aebd,74e02ea9,f8a30e7f,9f0942b9,2b702b3,d76ed2d0,1caf880d,41a342ea,ee06ae57,b90a924d,6588ffea)
+,S(d030c72c,16d01a9d,6c2e5245,61c7e3fd,b9a469bf,ff0a7440,b2ed0ea5,e5d98b8b,c6b1308,dba4f981,16b60ff,eaea843b,fddeee67,ca1406f4,73db0f11,531f2c8e)
+,S(56c456c6,d2c04a7d,441980ab,80b39a55,57d0c6f7,5706bba1,100c6bb1,e345a691,c5b2f0dc,2c735d0f,8ef10ffc,2753c2b2,825ce525,a0613189,fae34e64,26084819)
+,S(aad5adf3,b505d1f4,28dd1b98,dd4fdde5,29d911c5,e0e5837d,75e51bac,308400c9,e94adf67,4f7994c1,123aa411,b790c68c,f55569f2,1df4b6e4,6afab87e,2777acc6)
+,S(ac8cd8b4,dd76b8f7,4886b089,f18b4cb2,ca1d43c3,19ed034e,6b1867a3,5e6a0ef0,71d70894,f9daab15,7413f827,1cadcfc6,ffb71db4,9bcc81f3,c759d4f7,137ba96d)
+,S(3964006d,f110fa45,409d7a4d,5996b44,93eb4150,f4217948,41dc5357,dc47ca1d,e4a11c6d,21dbd93a,f922a2bd,23f057e5,c2f24474,36bfd7d6,395a46df,3ad7cdb)
+,S(2be10b92,27a312bb,74ea37b1,9bf910b7,723a1ff8,fb43dd55,1a0e1fbf,7bca56ec,19aa8afb,c886dc0d,293ecca9,4290b24b,755b2de8,c1dbc0b4,59052edc,c6df59ab)
+,S(379c1556,2bd7f51a,1d219a34,dffc8bab,ccc1e417,1c38d342,a4c6325a,b5ad6ae5,47a1f28f,a6371df5,66dce223,10d95535,e7bc6734,7f20748d,b983fac4,2f185907)
+,S(24054dc2,e675459d,2af584a7,d78110e9,30a36290,989dd4f9,914cf7a8,1fce9809,6572ae1d,3e05d0a7,1c4e06d4,820d16a5,3553dc81,a6f02a76,12b584a2,e57ae592)
+,S(9812e6a6,f46ca979,ab7cd879,1023b32,913199c8,b850298f,a3bb4c8e,a02420a4,468f6eed,dfecd933,1bbaf36,986f9377,3afd963b,56577151,52a12b9c,88f937f0)
+,S(46058644,6a348e4a,d84c928d,62c9de2a,9f6c14fb,95c83c6b,96203a5a,7f13c700,9dc55ee3,ca3d701f,e6759c20,3b18840f,4c873f11,57b21ad,90401e77,622d57ab)
+,S(a8dbaf97,2d5b05f2,a44d862f,e4aed0fa,1cb877ca,639ac322,8e909507,bcbe006a,3db54c03,f082937c,4f98d38c,6141d0bf,253e6729,b83c9902,51ac4a97,176fa4bc)
+,S(9b8b39f4,f4d91329,13324bcd,44f9846a,8b3019,22671128,74178009,391149fe,490a4f72,1c452e5a,88ffc693,90b0d1b3,4e4cae7f,2e0ab097,6b396a99,1c52c1d3)
+,S(334681d5,a7ef46db,196404ea,9e501f81,7406ce24,27a64597,73e358ad,314615eb,2b23603a,1d80cd6a,9f04775a,52069de2,e328fdc1,37fe6b6d,6c165442,53ad6c0d)
+,S(feb8e310,c63c6ebd,294639b4,a4cce42,bd5f8372,b7aeaa88,2023f0e0,29c32529,cb6e42ad,6a0cd780,aa57934b,86682260,68a45c63,bdf7e617,fbcbf86d,db43b213)
+,S(f4a17bc2,c7334e92,dc923252,3b910a55,a8ca5cb6,2b3d93b3,fcf0f2c4,8705cb67,812b7795,1b24729,4b3d55a3,2f45260a,e7f4a9e3,d5cfa304,bb0471b0,da6e9dfe)
+,S(8ec2ac7b,85514349,5496d596,bfcaaf4e,c330a995,f082324c,7e0479ba,4ccf181b,ea1588b6,7811d263,7bcb3bcf,5cf0bc4,70e92797,27b1c258,ce4ebba9,35250130)
+,S(b1e6d61b,d9aecdbc,c9c4b6d,9e48c6f7,e4aa9eb7,7da3c001,53443c6c,4d4f19a,43af7b55,b2e2c976,8b1fdb34,48d6f339,1bc20aba,eccb1a3,5aef98af,b28cbf4a)
+,S(4d83d2e8,210d47dc,3904a397,4db35433,1a951963,2d4e2e4,b69f2049,2f13b2be,7ed96c83,3874fc97,be45f1d8,8e5842b9,7a0e3bac,95400036,7c8572f6,3d37a6b3)
+,S(1448e92e,fd51fc21,d6f5d514,35527f67,25f5c5ee,b0b29c36,b9eb6e8f,2bb20b84,248a338f,c8be83e5,2f91c9a2,2868973c,13336aa6,39e43f4c,ea8bbeb9,96e344ad)
+,S(e23b03d6,9c2250ac,2cdcc7d4,4e0a218e,39d928b0,2585fe63,dcf7093c,924e4ead,8c69c7d0,4a8a4b7c,1997ef44,fadb04d7,80b91cba,13dee454,2effb8ae,71b9aea9)
+,S(4cd1e35e,21fb3fe6,946a929b,9aebfcb8,78663224,da66af94,e5a722b4,32b5d7cb,6b1112dc,5e865b10,ba688780,32978617,eca892d7,730ca984,cba4ab07,7167e3bc)
+,S(f3cebaf8,92cb7b0,27cb9212,3596ece0,bf25c6b0,d8f1dbf5,f2efb204,a0db647,a615ddeb,8418c013,91923b88,7bba5d3e,cf3c7172,efbdaab7,e12582bc,a968d8e0)
+,S(4b8acd28,500bf88d,68337c81,33181706,dfe341de,7b1d5736,a3a85a2c,6d655e7d,be93d7c3,825a5675,84d6f76e,52f3b06,7b7c5d87,844f18ac,624c96e0,fd219bb8)
+,S(8dc7ac81,d04e0088,63fd2de6,2cc68de8,3e567d81,85aebc53,d4771950,7ceb9fe1,62d4b64a,be7b1931,c47a7755,e25c803f,1eb14c89,2ee100e8,214b94c4,11fa9198)
+,S(aa63343f,3078d48d,942bbbe,df4f2c19,a817c257,9003e033,7104e530,c1b89a23,277ef834,23a6730f,69c20f4d,9de94758,13befc6d,ce389bb,fe7958e6,6ea7b524)
+,S(37de5061,9f301e40,8e9096c0,1a37df3a,dadeba61,bc217495,5d04d7a1,5121d30,7e7049c,33e40b96,6a136516,c005597c,e3f6aa70,d6db4c31,f5732fbc,e538898a)
+,S(6d18cf55,506d59ce,a3e8cd44,f347481c,3ebc6682,2f91445e,11f2c0c,45eb83b4,e930e9c1,ca8b73f4,7fb9818e,5d4db8a0,220f7ba7,ce807854,c8ff2af7,b8a30cdb)
+,S(77d85660,6de7dac5,dd4203c4,90152c9c,f70243fd,eb1d1c0a,5b797b39,16caa7d3,3f57cfe3,9b37d550,c9db0fc9,4b3c0e3b,1a2722ec,f920522e,8c37d848,f59c659c)
+,S(5c2e69a6,c44b5bb1,c55dc8b5,6f9d4fb8,ea56450b,d69d9229,670e635d,f381bf16,f082049d,a69ca9b,a2821a8c,2fd0b46c,9ec21af2,4c34b049,f1af0126,75a3588d)
+,S(329c01f5,66d925b,251944ed,92beb06a,aaacb98d,89b2aaf1,918ce400,b5a393ee,7e29b038,427a0fff,6ad50c80,aa49252e,e21c2c45,3d4c72a9,c3cafedf,faa57abf)
+,S(4c2e631f,18b2dfa4,37ebb401,771d7b0e,b670f4fc,8546499d,f62b49bd,629525da,8a95ebfb,87423fa7,4c131432,6b7c204c,50c6c2d,a3f85370,1f789ca3,fe9a6f9c)
+,S(fe121b93,d254465,c7f7cf02,ce10a575,d3808ce4,c6133fd9,392fbf1b,63d03fdc,33129b07,7bda4311,94fb997f,9443a0ff,e59438a,f360b635,2a80cbce,a49e0ba6)
+,S(323ac27b,1cdbf3f7,74e20521,f1e74b8b,2cf8c5d4,4180316d,a532ae61,2f784c23,21156108,f6a64ac5,888b15fe,834ba9a5,c8489e16,f3d31197,bb296b2d,3fc3dc18)
+,S(11478f62,fdfcb1e0,3a5f0ed5,ce0c2101,eeccbca1,e5934d37,41b1a8d2,7afd533,a9f79673,2fd3ecc8,644cdb17,6d11527a,aba8d0b2,985366c,70d96999,ec5f9153)
+,S(9f0909b6,c9d3c1ad,eb88acf3,aed5a6a6,bc8d82b5,767896e5,e7343efc,20b9d078,a5161ca6,c5c95d64,dc663e30,b8f65234,61a579d7,b99a57a3,3b0f3844,e47db181)
+,S(4960a875,32a9ad42,299d8cd1,a1af80bb,2807acb1,b52f1711,c55957d3,a64a6b9f,578e51f3,f1b46628,eb48f54a,93f82f24,4bfc6202,eef77dd8,cd6b90b4,de976625)
+,S(675c29c2,bdb265e,5490951c,bfc9f73d,d142d536,4b5ec668,54b582f0,5d310354,22d1f669,3d82de84,202d4f9a,186bdfa6,8cb8ad5f,9da33a49,83229047,e08bd6d1)
+,S(c4096cbd,6c75d0e2,6a922177,916ab32d,a9053adf,ad849d36,f65b7c9b,107ce605,5f236b47,2ae3c979,2ff61efb,9633ae05,b2b97e51,24a3c2,94f5be53,95c2bb46)
+,S(9ea0d341,ddd05401,f01205ec,2c754155,b1ddd460,1fa3789,dd80ed9b,3b905c0b,3bf48101,97e7d0b7,6f3692cd,53989764,ba7ce059,953f7b71,7e615c20,da28e69)
+,S(bdebbed7,84bffa33,72a6edd2,d9815b0d,637367f2,de3768c7,b4dd75a4,32fb92e4,5ff3437e,b62a9b62,dc16af10,5a20941d,297a431f,ca2b0067,6734c4ae,cfd0b9c0)
+,S(a486fa44,b46e34f2,d6aea82c,8f554210,cbfe674,77b560c7,bccc7d6c,9e910932,1ab7e36d,8a15e284,8a3caa0,f54ca555,b8ad5baa,7f47fca8,3231c822,f897317a)
+,S(4463a0a5,57a1a926,aa204376,a20aefab,66e7abb1,18c7f769,fbd1a7d1,29cbba08,4a823aa5,ab7b602a,704f01de,20b8ad13,7dc08152,25ceace0,9a9dab69,d034af0d)
+,S(d6e08a4f,c45e8dfb,ab713584,d91d1d8,8cbdc5c6,2eeb4b4c,593a73df,4d825ac4,2cd85bb4,77c0d0ba,5071ae8f,c0fe2dbd,8be98d9,622fe506,c59800cb,5eb4c55f)
+,S(b626e299,2a69cad4,e6076dca,29bbfd34,546d31d0,a4f8b656,a433fa87,f96a10f1,6df4b2ce,ba919268,f1568632,55e27655,62ac5e3b,8cbbfd34,3c656f43,43cb5bc6)
+,S(3619e6eb,74645070,b2dd6196,5fe4d25e,25a4dfeb,619e3b05,7e31a566,947139a5,964b8989,ba156121,9d36c3bf,29467c7b,79940c3b,450c1431,1aa0d725,1282093f)
+,S(b3529b5e,6718843f,c40a3a65,d5330961,41e5c060,e326aa84,7ccf7f48,c8bda2e9,49e6e0d3,7ce1bf45,e9c595ac,285becf5,31111e7b,2a67b057,9d4fc552,59c1b935)
+,S(e51f0067,5bd7145f,fcf85527,dd247ef1,4a199778,94035598,d42afdf1,2fa9e05b,d59aaf3e,8b4d72eb,4523d5fc,69b047e5,7d2e175f,30eb6c8c,ec729cbf,c1b32666)
+,S(8a87f066,f64bc468,d225eb6a,a0a7b54b,91c930e4,d4520720,1705f831,cde79b28,a92a5d95,e0057c95,b219062f,5d0e4277,249c34ac,6255113b,b5eebea5,66800227)
+,S(d8a81015,aa878ee5,a69c771e,bf88daad,3a926afb,b8aef632,cd7d987b,fd310b06,af77f7e8,f276ed4e,963e3a26,2f3942c7,ec9f31da,199ead3,d5e5f53f,e20acbdd)
+,S(88c3fa19,4f3f4d93,dbe5b8a3,865d28d6,51c9abd,519af4d2,c3b743d4,ce0cc5c1,104caf7a,f9ff822,7b3671a7,e7745bee,26b5deda,9982b9d9,a9d648e0,760d8f8d)
+,S(f8738725,3434b0ea,f05e9c76,3c729a8a,22070111,6c5a6484,5532c3d9,41ce648e,a8b5eed1,d4ee7913,b69f6627,d3e1be,4c286e15,78167201,46fc9e21,786f7bd7)
+,S(5fca538,5afb021f,94cca826,5689605c,7b35c8f8,dc8fef60,6b18420f,909acc33,1d7fa51,f5c28bfd,eb1f9a52,723eb2bf,c5b4d078,d5d4b639,2b791af5,d5b2b3a8)
+,S(47484548,d4b2acd9,bb2cef9d,bed4bd0f,f1fddf4f,e1561a51,891464fa,cf5007db,ea61e154,f011cfe0,46fa2539,7fb444fd,b93e223b,ed882bce,3ddaa3c8,328f44a8)
+,S(331f17ff,b14d43f,ec69a6fe,b41a8021,dd8ef56d,2540234a,b466ac85,e6c5b8f1,ba20bca1,8d774731,b6b64a0f,8a19311f,37d8c061,2c4699b,68d569b0,9eec144b)
+,S(6aba62d,200bd2c6,4ab88ce9,80530e56,5b8971c,f9c427f1,5e9b146d,dbdc68ce,e4c936d7,d7d98919,acd26ef0,cf071f2d,fcf65fd7,78dd8c5b,ab026,e9f832c8)
+,S(c76b6c35,e72fa19c,621022b4,d9ec6ece,c0cfee8d,c73254fc,f52cbc69,23ca19c5,5b0ffa7a,48ee8599,9b74d0a1,d7fa0289,b49dba85,7b21bfb1,ee7ba831,fa13efc9)
+,S(c056ea3d,43f33df9,b01590fa,429c14a6,aaa438ed,415254a4,4a93854,ce1bb77a,d5b194e3,2337a9f1,2c479e7f,576a571e,58355a02,8ba0231c,c337b8c7,eb3dca7b)
+,S(3d688ccc,8ddf0ef1,137bb897,e6b8f3b7,7df652c4,93cac3a1,47e88b3d,bdac938a,bca94788,4d7ae1f2,960daead,111558f7,38b6bc9a,7af3bb4a,691af22d,4d5879fc)
+,S(4faffaf6,69ce1180,a9145f0c,df6fd834,c59d7a9f,5f2e49cf,3924b33d,8d2a179,9e015cac,2dca2ec2,5580c16d,8c910abb,dcbad872,79bcc485,b71f5561,60159d2)
+,S(47578e3,7cd7eb78,6b5a44eb,3decc7c4,e8ba0c7,6699ef61,4ac30579,a24aecad,948ac817,a6bee00b,c68eab83,fb628ed8,7fd0066,9ebc8569,45eef8c9,67171651)
+,S(9aade275,3eaa646a,24ad1a35,f74887db,8c72fda7,77b59dfe,103e1a95,dc618836,b651c384,8f4625f3,1e6e7a05,c94483f,ceef2fed,dc7f4256,87e0373d,d02bca96)
+,S(b1b0c3e0,b1c6ee75,55a81852,447b2bcf,321c9b9f,629caf9a,276133af,63aed711,493accfd,624e6ff3,dfc1d0dc,aff17113,c2c74167,58cbd571,759bab24,300ac827)
+,S(c557758f,b192a058,eaec5762,ff391a9b,2a0ce462,7bae01c,156dcf3e,bf2a8ff6,1d4e9b53,d209e195,9f10f671,b1bfdbf3,98921284,a7719766,39947969,6d1bd3b3)
+,S(73522ded,5120ed4f,b49b5ca6,df5a1b6,edcc082,48df4d07,cc9ad923,2b7b5e0e,47569d94,cdf0270e,d1d299ce,d5bcfdc7,7f87db4e,c9725a96,e4388cf8,dee08d74)
+,S(16571c0d,66328963,2a3ae46d,fc2bee50,fd6fbc0c,f0ec73ad,72bb9c2f,e8323506,65de9d86,9e001c60,ced57911,e7ce6150,a936d684,d759f143,d2224448,4bec68d2)
+,S(f5fe5564,2eb630a5,c860cc8d,7c9ef86d,b1810d2e,82dcb343,dbe2f958,98e5f090,5cee7a1f,bea9dac8,ca340dcd,fc2c097a,eec2dabd,d7ed7504,e20c913e,9fadfa87)
+,S(ef09db32,70d09043,43da67a0,b87cedaf,7aece017,58d78591,8814e3ca,396e3592,5934f805,ba246e9f,965c6161,cefdf4e3,7df14271,2ae076ea,80ca239a,c7b675e2)
+,S(886cdbd7,27d2f099,9852b102,bf201ed2,5e174622,f974b0c1,3edfe523,373a54e8,dacb328a,7fca6e5a,e5351825,564e4f89,5166f687,38d46142,6eea7b09,dca73b2b)
+,S(b7d86bcd,4f7bf2e,8529ff84,88d9f3e9,62071308,9bbd91f9,6e4ef82a,ce237cff,c6b0aff1,375a547e,a8546dc4,17574843,3acf2a4,ed0d002e,e32fd88f,3b702f0e)
+,S(d7d171b2,8132ab85,30791059,395d94ec,c24f5e99,67bc6c4d,22bfc7ba,eb388c67,983770e0,2421e2b6,55d3c135,1bb39bf7,7be39682,97088744,bfe6543d,dc1a8f8f)
+,S(ffe712fd,881e30e7,229f1cfa,833dad90,f01a1896,c1493502,a429080a,9794b1be,f4299e03,75d084a,10b11ae5,8f2fa2be,f18b037a,53165586,cdac18ce,54505da8)
+,S(563c92b3,3226951,cd7cd10b,3f7b35c7,dff3f0de,6f03d66,9f664655,57d13f7c,dca1eef4,85bef41,80b0ccfb,2416f948,9bb21094,854f5f43,769cb37,33ec10c1)
+,S(b8e76ef3,3a2cebce,614056d7,efa47c15,dd52c228,66a7d3dd,9a0d4d64,68f32437,4454e79d,652ae799,a3a539ba,42619a1c,3076ccc2,109dc4a2,2aa41a28,918651c2)
+,S(36db2304,f60703a2,df2e429f,b8a99841,7b4a4f3,e08642d2,c5675460,aaf1c971,a0536e8f,5cc30aa3,d9b859ee,e26b1abb,ecf7f9b4,8c8fef0,f842fc9,a684b5cc)
+,S(c5d4e51d,1521637d,d6055e52,9e9ae2a4,d537c1a1,b7c6a314,f9d558a1,88d9a5ab,c841eeed,6a13782c,fbf65b08,c6570994,aaf7093c,4b48ad0d,e04db33a,6feb3f6d)
+,S(50c03dc2,985859f6,ffb79ed3,f635e17a,b0561533,600af220,7cd98f9f,71c4bffd,c68c8797,a7ed229a,f59a2bd7,451c748a,5c425528,8b7f6b0a,68b64a77,d7137720)
+,S(2806d84b,3e7e6f9a,2e10ae5d,cf5bb0ef,98560691,71d31ff3,3645346d,f08333ef,72f23443,38e34ccb,4ccb5ddb,f3a6b58e,bf8cac26,4243785e,54a9b503,c87b429d)
+,S(40d70ddd,1ef58dd1,c43e33c6,29840fee,82bb9c1b,e222b53f,4c58952f,388790a4,9b1a9d57,b6dd9932,338d170e,af4d5516,e654685b,3946930d,96b2a1d7,f70770d5)
+,S(8850ec32,4e71213,bd77b193,ee21da82,ac733804,17983905,d0156608,8b87c835,aafff7a0,a9160b91,92df58ea,a65c0716,961480b2,b0cb4d3a,7d637f77,ddc160e2)
+,S(54951509,bd7c29f4,77f9d4a6,2be485d7,de291b0,6a308bd2,c240cf71,50ad6e8b,2fdb347c,f2a23b9f,a3a45c76,44cc1fa9,b1d8f79f,77c02f27,f136c732,c7ef2722)
+,S(9f5ec355,cdf8eb4f,be5af1ab,70a3e7cf,1c3d3e8b,e643621f,acf8f69f,af7e5d44,b203dd5f,b38b3550,6fda94b,ada1c4bb,12b8be5e,92bf8a58,4886f2ca,19d3c06e)
+,S(812e4a9c,1bba9e52,8cb5e606,c8b326fe,8b72f0e2,3062837b,bdf371a2,2ec0b3da,2ba7b5b7,14a9ae39,c62bd36a,1ed00135,5d98d248,9ef90f24,d10d1c58,f8e222a1)
+,S(e6035ddb,cf85616b,540ff16e,cd5d7fd1,af52c6f6,2a26ec36,c5c1ca86,2a3d924a,a945389e,f687fcac,6f918718,a1f29f19,173d3104,69c5954a,d6cfb5df,f01eec86)
+,S(d788a5e8,d771d471,b7169693,86b2339b,2643f129,a6b50bc6,321e752,6a033446,34b85622,5095783e,fa57fe32,a7d91b65,c0c9a42f,79fe30e0,b2598967,e97d3990)
+,S(663733dd,29374f9f,1db5f11,6fa32b56,c8ef42f,706bd802,5615d4a4,77c6f41c,3585d45,3ae0fc59,1614e916,a1400b79,85b59f66,6e2553c1,394ec26d,d078676d)
+,S(5ec6e728,5ae1413,3dbad4d1,19e2e3d5,6affda33,356146f0,a5ab023d,b323ad9c,3dd241bf,cfc6301e,29cd609d,b1a0fca3,d35a56e4,668de9f6,45c23d69,c0884579)
+,S(f18fc442,1fbb66a2,7c336647,1459717c,87532be5,d4416cee,e4a674a3,2cf8f3c5,d38a0881,3bb33df1,fb4e83,6686c0fa,26847e5,f7580de9,b4f229cd,1359d560)
+,S(818f549e,d9bcfe1f,14b8d336,21342465,7dec0dfe,eea1d719,20622442,39f5345a,37ce611f,cca2f448,45c1a8e9,d7f4b3f8,48b24c5c,2b9f5368,8cc2c8df,846602ee)
+,S(75e2c791,f98e3fc8,2a74ee3a,532e8796,4f4fa8eb,6421aa64,17a5b00b,1edce942,51f2373b,a4951362,68aa17c7,1160855c,7c4d37be,222a8b26,f2d54cd5,37e5f6b4)
+,S(711f8db6,4c0c6d31,daff4ec1,f9937730,9b44de59,9f4b9119,9ca6836e,1e3954d3,485955e3,432ac82d,f3170fcf,7b3519cd,6e4dfbba,170bbeb5,b75e3e7d,70caa4b0)
+,S(63502c26,6f755a1e,4be2104e,e8ca9c2c,5216f50f,e21e003a,16071bc8,df3ba6a5,a5c829ea,c8fc3f4a,f55075bd,afe77977,3954b88a,f1f3a8dd,90f28aa1,49bea942)
+,S(2a677459,ccfee070,1b5bb82f,d2ee57e6,13f5c3d6,3927938c,92d10954,c2850872,ff6e9798,5c5db0b2,9bb1cbf5,db03e0c4,401bbf28,eb39e053,714d5c5e,ef7cbe71)
+,S(68f85f87,78fb69a7,9db4a22,3d7faf95,5b359bd0,5f230d99,f051b008,32b52cbe,dc2e949,f4fc3189,c4f7b771,f8b56b85,ef9c65c0,b3bdf89e,405d5f3c,ffc92210)
+,S(7ee9d5b7,3b542036,509fd8b9,de590b24,9e9883c8,6f4bb90e,1c2904f3,d2b74ade,98122413,241cf205,f91c6977,b925ddd7,4920636a,9dd67828,2c30ee,7343e62)
+,S(8447b090,cdb19271,db368023,d40e520,102b5d04,79eaf391,3817553e,24aa33c8,25b43fe6,55a27481,c02eacd3,9025a523,121d02a5,78896a78,c14a8c21,f7c0bdb0)
+,S(316073b9,3f1550e6,b7951f56,90c5ef3b,e45e622e,77a2f268,c89a8b6f,2816a645,557ca5ac,2fc70ce8,c3e54a4d,b31d5c77,a1a6f38a,18646caf,6a52db31,947624be)
+,S(fae2312d,a2ef21ac,358fe949,5c011b18,cdaa8ef1,c99284ae,5fc1eb77,4836d6ac,6f3bf661,2d99e865,b0cee7cb,3fccbf08,aa948ad9,b29b4b8b,54eee8d6,3f0b76c7)
+,S(280a2bef,5588dfdf,b1e1691,d3162aec,7d4c72c6,b76f23e1,2f8ce783,54f839f0,f00ded1b,c31a9774,a87be1bc,7e440585,b2b4ba63,cc0d9c73,ca7b4873,93683f72)
+,S(3f43e77a,9b7b92c9,92b7e5d2,8c75444f,4d0609b2,8aa65ddb,86bf6ac0,bf7ccdcd,b3117903,bb3c0a54,bc6bd6b9,92b8d85c,ac267855,50075536,6cf70a84,4c72a2d6)
+,S(3a0afdc8,387bfa34,87e53929,51e10e,9535500d,f6506296,46df162d,d469f2de,75697cc8,f0f690b6,e1f86dff,3f2ca53d,907d4cf7,c8ff324e,8b4187ac,c9bb29c7)
+,S(3f972b64,209f723e,99a6e7c4,a72072a0,2789d0aa,8a23d660,949ea417,7970809d,7a482428,7a6bfd9c,afc26e76,9a02c5ff,9a7c053e,e63f2342,b32a4f84,42e47d15)
+,S(938ac0f,fa73364d,11df1ecc,4b84e3d1,c21ff85d,71f404df,e8daf4a,e889b0b4,a1c09ed3,d526b381,dee8820,eda06a10,4e968995,64cb604a,63fba74a,45be0312)
+,S(5355ed75,2993e74c,275eb9ed,3bd34575,631c9b5a,64e99071,8311ec8a,f4e28bcc,bbb1007d,680aaaaf,ac10279f,600f1851,c8188547,3091a40,ddf7253c,fc6ad088)
+,S(880e32ed,70ba76c6,d83bda46,a4340646,b033696f,ab62e457,4e989311,fbf277b7,76feb2cb,8d10d5e2,406763d5,f696686b,8dcdaaf,330e4e7c,623cc7a8,6e0410bc)
+,S(daf778aa,a2755b68,2b8beec1,14b74e9c,857ac503,daad6bee,bd6d11f1,8f11aa8,1ed85c62,710d3017,9f0f3024,d6ed6976,e38325f0,92981c88,fd4982ee,98a5f428)
+,S(e5c3e9dd,75633d27,d19c0a4f,f3533f80,9a60b95a,42c8c464,1cf7abda,8fb474dd,f1e56af6,5c5c087e,ab303699,f20bc9f,71b7b7fe,16332afb,2517b241,8dfb0dfc)
+,S(5d403f34,ecdfd870,977f3bf2,ffb274c9,6859c20c,8cd7afd,d116837d,c0096973,6b5be47c,70246cc5,9781ba70,71764d72,2335c334,443e5e4a,5ba12939,d8f6aeb1)
+,S(50ba053c,25511f71,b35b4caa,c990ab27,993bf034,f3e55f81,3896458b,5e246b12,d2f12a45,5c7a3170,67690399,3063dab0,9f8a22a2,bccbe5b8,8a7fa2bb,f2291f63)
+,S(385a80ea,ee4aa9ed,a07898f0,b3658793,9f290622,399c3a00,b38bf02f,66629cf,a543320b,d72ac6e5,d750806d,6a90b8fb,8cfe4902,46991eb1,6e6a6974,befcd50)
+,S(98610b9,904ede38,6e69de6c,3d40518e,eaa669a5,23620a9b,276e1996,bdedbef,907755a2,eb6aa100,d0cd0c89,25b5ff8f,b88f72d3,61d83315,c4ad0d94,8a06b581)
+,S(83f10807,d9640d3b,dfc7b0d3,dcbbf6a2,19ae215b,4754f29e,d4579999,191b7fe8,f62d231b,5095d6d2,860e69c6,509de2c6,fe719e4a,fbc2b5e2,489a6f9a,7293364)
+,S(51d22293,927335c6,2f82b028,52759fd1,e3f287fc,67b6059e,74dca17d,4fb1c246,b9b803a3,b5145b4d,188b909e,23c8b126,f7184bdd,3128587b,e05219df,6c63745d)
+,S(be6a6342,e5783d43,d2691945,826c37c5,3e8cc24c,5a09fc70,3689def1,4f465006,81c718fc,3fc15279,da9efc14,13ddcfd8,81bc7e4b,1c36004c,2008dba2,7c7ef000)
+,S(f21334d9,c36f1284,a4bb043b,58b27070,448681d9,a82ae81,a4e8f226,bc790036,44851,3a87fd30,453dcc1e,b21e293b,f5f143b8,2cf2708e,428f4753,8816eff2)
+,S(1558c4e5,af34463f,810cb1f1,b73bd27e,932a832,9253e2cb,419eafae,c9730508,cb8cc650,25e14132,3663f3f4,1a75085c,6921bb37,428a149e,2dd1fe4d,f4c917f8)
+,S(1853a32c,8f6020d8,1b4d3596,a88e3825,b575a4ed,99072e64,2e090a1a,665d71e2,8da2a31c,b170aea0,e364aedb,b1861fff,eaf26888,b29405e8,9e3ed982,a03a8367)
+,S(ef585cbc,f0f03bec,21df60db,cfafa9dc,2da679b4,3bdd590b,8cc35388,cccd323d,2bc5e203,aff91f6d,38592e07,82813905,f02ccdba,1daa7acd,d93f6d80,78c2f296)
+,S(3f4c2e37,e1ea68eb,befd9971,424b3c7b,1fa45864,e0d13471,a1476808,b2fd5c14,678990ab,3d283b3f,aaa665b0,4f329b51,51b9c17,b54385e3,30de36a4,7e0eeaa5)
+,S(2b001b8a,d557ac4a,181cb20a,b3abf2ac,59fc9b10,20b5533b,621b4119,e421693a,fe4f3007,f8d19db1,73e6f8c3,48b2525,310a328d,2ca0c675,8fa29723,82c6b94a)
+,S(6589d1dd,7d5a08ff,8deb5b10,81fb0ca3,79c90d27,58ba0bb9,8d05bc93,452cd229,82409480,ed842993,4bc8dca2,3e000fd5,fdc5475b,192bc7fa,a1179165,9a8149a9)
+,S(c233fd0d,f5d3835b,8e855316,276a6a90,ab4377e5,a3a3a8a8,3b89f0f5,27950a6f,8fe8e0a8,775a9a43,12cfbac0,85aefe06,31468031,86b8b84f,49422392,b4f6f3e5)
+,S(82731a85,2a848eee,d6ee3f57,f75a2bfa,a388670f,89f6f6e7,b65b13d0,764cc14a,c00c509a,307c5e87,f1b09688,38e34a21,1ffacc9b,8a7504c1,2080e4cd,39117583)
+,S(e21387a0,e5d8b1b0,5aab5150,122942ec,c9dde3b5,53eac977,7eea6d0,6d2a50d,c74de509,f90d93df,343c920,74ac5dfc,fc81c95,93354349,bb2810dc,8db0ff83)
+,S(180871fd,2fa443d9,c5b5c341,4d635b8e,92780fc1,6d04236a,bc9a49,5b9fdc25,d66c7150,6008f37a,422014a8,bbe025c6,1f25e636,e2778146,59985003,ab14d120)
+,S(b5a9de7e,ed112a8c,1ef29a9a,31156b90,d64dff93,4d83fab4,b44d30e0,bccb2c42,5675a679,a81c3faf,3b0afe66,ef85721,30315ccf,b0ff3d91,130a71f4,3539db38)
+,S(9acce472,61f1e50d,f42baf78,c05a5cf9,8ce5697b,6d3b4d,40d011fd,aee7d6,fb7c413c,40464c69,e5756830,4325a79e,6cb8c831,add29e0a,95f88feb,9507a05c)
+,S(f80ab79b,7bef7712,2fc7bc4b,2193deed,916796e3,67d85100,a02cc0eb,8b574e5c,c6d4d03f,842d8b25,d9b5834e,d6cdcacc,3a1ac585,b5d22aa,c77019dd,1d5c8f6d)
+,S(b431e355,cdb4230c,3005845e,f60b24d9,25d81448,ec161aee,faea1f98,bc9366a1,ebcdadd4,ae230a14,382ddb98,552b6e69,7aebace5,5cc7390e,f69d176d,da41c1cd)
+,S(7aa60b9e,8c93a63,51eb686f,46dca4e6,efe56edf,6c2089c5,93f6a800,6e75f1fb,4c81e2,17700bf1,e053e389,2e33e694,cb424800,b4068c98,328f00ef,5fa0347e)
+,S(1a88250b,3aa4243b,7441d1a4,da37b4dd,d304fbef,272f696b,a72e7610,1286b30b,625b9d05,57d3815b,e06d8cb0,f056a9be,b33b7658,f459b3fe,3fd5f4ab,69b7a473)
+,S(5b524eeb,49fd558a,2d34db23,cb5dcee1,6c4ca47,1eba9966,82dedbc3,aa2b57c7,2d5c2c97,56b7ce1d,735b163d,56e02bdc,25c8b227,2bca2d5d,bf252906,bb8ae50c)
+,S(ae60e777,6d9fbe79,d24cb8b1,f756098,191550d8,433bc7d1,8920584e,7676d2c5,430fe986,73772472,ca11be83,eefc8678,b76c36d4,346a311f,fff926fb,158d7784)
+,S(323a5e3d,9e29f668,d460b081,a5dce6fb,53e8d730,9c42f105,ab4f812a,62efb9d4,2b457b3,69483f42,16656d1d,3b5ea9af,da6216a4,47661830,c2fa56be,804776ba)
+,S(acd1b5b6,591e552c,864e612e,d69429b2,b3db8649,7a5962a2,a8b36511,7a7c1c9d,e6131fff,56f6900,926ba772,92526348,67544d25,1ebc4fa3,26562190,8e6e88b8)
+,S(6b4e2c70,817852e0,2a26286b,155248ce,f2e61e60,84742cf1,14ebf74f,785b36f4,8400951c,7a529bdc,2007130d,1cd5297,7398f7fc,d66e5a1a,1e4e8644,e5b893df)
+,S(c2b2c727,d67b0a46,1f44cb91,48c34744,4e6a375f,80a817c7,1517969f,8084ab31,fed64359,ebf37b0f,998aa251,9c281fd3,a52c47d4,89051718,82481fae,c36d5f59)
+,S(3385eeda,b5b2bd94,f794609d,978a0f86,2ec56422,bda0ef71,2207ca1b,904f202e,2808d2af,1db8a8ee,1c5975aa,31a9f441,b12a2186,746a474b,4907bb71,603d7443)
+,S(800f6cd7,f2cb437b,8470c292,3fab4786,edce15f0,d4c52a82,33519c07,14c803f2,981f2e3e,ad11aa0,cde06ca5,9b26028c,23e0a88c,ec397734,ad0152f4,d4a37056)
+,S(73aa0bff,3a9f286f,d3c103c6,d7bb6caa,ebfaf4b7,614f1f32,4741c600,eeaa2f3b,30bc529,81a9b983,cb89fe73,dd8bce7c,a54a2e3c,4fde6846,701f1da5,18c6f7b1)
+,S(9280fce6,ab5c13f6,80bfdfa9,c3e7612f,86380498,9bcf29ca,789169fb,a178f2c5,4b96ecdb,c5bc2e3b,2fd397b1,8f7f5bb7,aeb6a7bd,db0a3b23,3e74f7cd,ccae36bb)
+,S(72055c4b,bb50b9ef,b589be16,270d12ea,9f438780,e5eccb81,7dbf69d,a66e03ca,aeaa257f,c30a77dd,58574693,51a8623d,985ad705,aa1fe3f9,8915a6c6,f6bc7cb)
+,S(f0f3cfd0,c771e3db,ba687c7,3fa827cc,eb8e887,12abc8e0,3085d047,e7c1879f,2c612e7d,8b744c54,f8f0c4b3,24fe10a3,1bf8aa5c,cf6e2e20,eff98153,a4936b33)
+,S(97c78b65,70b0f270,6fac8fe8,ea4376ac,d8b61177,e5e7b3ec,67a7af9b,e6f5dcfa,1aeb950c,fea95858,a97da765,c3cb5941,1334609b,347c4daa,1279d58f,3be14c3d)
+,S(b39ffa1e,967e6fc3,d493a9de,48b077fa,4b7908f5,33a73eeb,9b5c9efe,9e509e69,f55f3951,81ac72cc,d618c00,71c817e3,f76c302f,11219e16,f3b40e75,ea65dc05)
+,S(159b9f7a,5ff27c4d,1bc3fcc4,d91b160a,1b2a972,8b1e7fd1,7351c663,f8e7baaa,b0aaef6d,86c54ffa,eba1c7f0,d789fd41,5e60127d,578c2697,a8380b7c,a4c4360a)
+,S(25810fd1,8d4a4b16,c7d07a62,b626fc45,6dff76ab,3c1361aa,f729f7f3,cb85e44c,f4052325,7794bd70,ad295526,ab4b8b00,9252dd5f,33578f44,2fcd2219,2f6a2d9b)
+,S(27e20a4d,5860a328,c499864c,9075881,eab36291,2da641d,6e1934df,473352b2,c1598cf2,888cb50f,e270b490,503c11a7,d3822a2b,e86a7b,65cb9499,3b45203)
+,S(483f454e,517a94e6,6708f465,ba217b60,6d684a68,4d9472dd,685f3bd1,341448a2,c13b3144,d93b9a36,45d23346,c5dcb70d,d338d06f,f0c22aa8,2ba68a61,7f9ad11f)
+,S(4f47b2f6,31734aa6,5ae4c9a3,c1532f2,67ef068f,83a4f266,e2e0a59e,be04e6e5,58f1f34c,f11b9cb4,5d33ebcf,3edab72d,6824392e,dd547a27,c0134d66,58d99d2b)
+,S(aa78eb7e,835ce84,b4f1774b,8e810cc0,d6f42a2b,11c44574,24fb6341,7797db07,39640139,d957d47c,59cc7541,d3f72e33,ee9ffc63,2171311b,cf493ea,185e743b)
+,S(d2598985,83c00560,11dc0655,c37580b0,31a3f1f6,aa5f5944,17eb0ce8,cc033d49,3641c973,9de8818b,a294622a,2dabe172,b6a83006,4d04ed8b,c841d11a,5af24b08)
+,S(4f023ba0,ecccb74f,56f38f87,7435907b,f2d2b85d,59f7ffaf,48712a48,55e26634,f80efc33,b15d5125,b8fc35ea,393b6c3f,a2ae094b,86a6ee95,bc48295f,b1a6a456)
+,S(9c86f08b,48abd097,7bfe13cf,a15ac8be,8eda4128,f7c143c6,70bf7e2d,763a1589,11511f87,e9ecb88,39eff453,d29d4db2,17d4eeda,c8468a17,1a152f15,c1c2df45)
+,S(3808718b,72e95cc8,fffaffce,cd57e269,c5e6ac77,69d8120e,9130d8b8,ee137576,f40ebdeb,cf5eb722,4dae59cf,8ed8b58c,c614a61a,9e3ccee,db789fd3,31ea728f)
+,S(8defd15e,399492fc,71c80a1,3eda0244,eb349f47,5c7dfb42,55dfa752,fcdda3df,d3dfa778,4353d0c3,b4fb0d19,ffc39631,a01786ce,e3b0cc7f,f9e4c5f6,7bf7a771)
+,S(8dac8d42,5ac1d07e,3a805248,798fade7,ed99f9d0,c324bd46,6eaa8aa7,dc24bf8a,f232fdb7,923234fc,d8b2f097,d354dd6e,62e9d926,20d28087,d6410b72,aaef8009)
+,S(87ce6443,f3bce6de,287178b4,f243c3d1,e45d26fc,6f811d35,329cac04,7fa90e1b,a897019,62414ab4,c582799d,77edf3b0,f0af0d4,8f70e875,fac33e95,39724138)
+,S(bfee6bfa,bf2fb77e,9eb60a3f,8b7775ba,124a21c8,741af3b,d22966c6,a8fdf08d,29a1c399,541e4bf1,7f26f215,52fc83ee,cd2e8be8,40b83fa6,9c9ce5d5,fbba76f7)
+,S(c30fda5,b553a800,2341a553,7aff72b8,44873af,8381b41d,aef9af2b,5cc2bec1,5ce3eab5,87d88d64,fa44aafc,ce34046,8a96f76e,65dd562e,7d14153b,439fea6d)
+,S(5e7151fd,594119d7,c5cadbf,e1b419f5,4d922607,728d70a0,f1dd4d8,3400ed97,6a8ceea5,a51d4a7d,62d36816,ecbdd75e,4c64ec96,6257820d,73bd9531,ea108917)
+,S(a9c8eb0a,66cdd5f0,f33d0620,8525225b,e974af7a,b50d47c0,4bf690db,ec86100b,f209cb9d,898731f3,b02a24bc,ff290cd4,a4371e88,f3aeebf3,29c9e1b2,8b8e0a2f)
+,S(955e79d7,93669150,471b1659,52ee6121,cb804373,5faf653b,9468511a,e3a2e439,68daafe3,2a9b67a0,10ea3bcc,1a56c7a0,2e82cddf,120e6826,1de0700b,cf930d06)
+,S(22d27293,d3c1cc6a,5b3bc70b,3bb7e1d6,bef24805,3c8685fa,c192b409,dfa34a71,c74b44e3,4fc855b7,53c4e42e,740dbb59,4d5d76df,b39de389,e6c837e9,639b3357)
+,S(d19fcece,f74b1767,4e9d91f7,1487aebf,70d46e8b,3a037835,b2f4e8c4,2137abc0,5b904bf6,3dca0981,3ce224f7,494ccba3,34ca9fe5,f365ca83,fe9adb6c,4adb7580)
+,S(6aa1722a,adc74800,d6609113,6bc6a6a8,1723c36c,524a873f,2a437c91,c2336899,8e97004c,df495b4c,63164058,321549ce,3d9709d9,ed667c36,9a4f1ee2,d6319d07)
+,S(79bd3623,9ee4d220,12d07262,e96ad186,b16e3b6b,720d052,f736f851,b0ea6efc,a4b43db,f568cda4,1dc972c7,1c7c92c3,6a31166f,ad6b80fe,42df4dbe,f418729e)
+,S(b5e02b2c,146337b5,67583c5d,3690c0cf,a1c7d820,14028c9,e401182f,a4f16ce9,4b9646be,3facaa70,e793516f,a0e8a142,1a819ba6,718d26fb,938e2795,9069e0b2)
+,S(8e33e271,de2deb4d,6444d64,387f790d,14a2b685,4b38857d,d05af743,7a7403a,d82d53a2,c7a4a1dc,eaa011bd,3e0ceb0,e08d73ff,fe9d71f,c913d6e2,89ecc429)
+,S(4ffef442,77dba780,e5769b73,feda37da,abd6ef6,2f5ec36b,74593ca,4c19c2f5,a8a30857,378aa0ab,9ef6162c,fbb09f9b,796755bd,67bf9d69,4a186813,d392f854)
+,S(878b652a,633805c8,b58b0334,11b9246f,f7e42ed6,ecba6bde,fb737126,e9f57368,2cfbeb3e,d691158c,d3ae71f0,b4a41d42,148c9711,d274820a,d541efc1,56e85836)
+,S(ef9a6a15,aee2aed1,46b99ee6,a79acbc1,a0aa0b2f,1b082783,dd40b106,9deb415e,9909e2ba,7fd53514,a1bc4480,2b49c7aa,cffd9cda,19c54d82,6d9bd08e,49e97240)
+,S(d5c248d4,1551d230,60835885,5db0ce8e,c7814e18,c2d548fc,dcfac207,645bf37,f9c5e89e,7bf01f82,8cb78c88,c14d50a8,3cbeb45f,82daa9cb,3c3804c1,15a36f05)
+,S(edbf25cc,a526157d,9676e614,81455682,6dad0c0f,96ec289,f2c5919f,57227d1a,6845488,be056456,4a833c13,70d37257,d0ca701e,f6e574c7,409dae02,ee99554d)
+,S(5c12026f,b8e2e376,2521f5cf,cf9286b,14be80b0,dfcf378b,26fe6ea5,4ccf09bb,3d98d5ef,4e2c6528,7950154d,581c9a44,94b81a50,40ba9047,1bfa6758,66daa596)
+,S(c27e6243,5056055d,614dcef7,f67338c7,ae728bd4,af3970a0,b434d2b2,e48e2d6d,76b586fc,703cf946,f78839ee,bcd28c56,9e372d97,856333ce,d82137aa,7d8525c9)
+,S(a298c704,5140186b,4d424e8a,f98ee604,7f67603f,ab14a7e7,b96daede,51abaf8a,4dc70158,2a1b1935,4a5b430d,b4a0c21c,463b779e,ba72f108,5d7d638d,68108fda)
+,S(e1fce957,82dae8b0,ac204fb1,9496a332,fdf40014,88ebaf07,3a62f33e,192013c4,40517ee5,d5786ff9,6aa2b50a,a77a10d5,e8ca6439,44f308a4,a264e367,1dd02f4c)
+,S(e719bfc,5f06b800,8e4e49bb,62361544,1a2b0c42,f673f3a2,1e139bfc,b097d6d,f0c83c1d,83f5df68,a1e3929e,e18c4945,d14e2c33,4f9165e1,a0a462c2,aefd7822)
+,S(77766a4b,a9d8cd62,840b1127,7e697dba,dc27c50,d9c8e35a,17f4c38b,50ad0a4e,5b3a2ad9,448327ba,22265ac,86c190bc,60b7586e,6f6e4554,b26b69ce,231b6431)
+,S(f237721f,6215a855,f8660cda,41063690,4f2c9dd7,6260c292,597f28e4,348514b4,109daa1c,187b9f9c,ecae8c6d,33cb9874,46f5ade9,d57b3651,bccb9338,1acfef79)
+,S(9408f5d5,e8891a1a,3cc4e7a8,a50dbc83,97517b3b,6c5af3b9,f1953f09,a67b3e08,1b82f212,c32f1ae9,c95f87b9,5ced2bf,ca33e954,32d9eb90,ed879ec9,59691555)
+,S(b2837655,11707926,c9f214f1,3e90675f,883649c8,8f1660f4,c4f9f6c1,552a7064,89553739,15be8962,e6f03ca4,5bd5516f,be6ee041,519c4131,829b0bd7,6d1abfcf)
+,S(ce42ba00,36b5f54a,4ed2a9dc,b6c0d29f,98641331,3f92f9c1,43767bfe,4b78f4a9,6e547292,cf35baf4,768c9179,2f706bfb,39b757d8,2452a802,4a7bd37f,e3a048d4)
+,S(bb3da2a0,1a063a97,bec9325e,8d4af420,d3942bbc,42f0807d,8e9edce2,eccbcc59,7c28e7aa,bc39907f,ef58a19e,cd6e7b2e,25d6eb00,8da14d9d,5c559d27,fad70b32)
+,S(25d84c3c,97f3a074,ea76f620,d6fb2691,dd3e9592,6de8eacf,5392c0de,36c490ee,5e0e7745,88c8a9b,7b91ffb,1ad6fd27,4153096c,9e759540,16f73a43,16d5651a)
+,S(8baa3bfd,ca256f18,2e55a01d,e7c07617,7649942b,e743b4a7,faf39446,84d5765b,6147e897,8bbe15cd,171c2816,4730b211,587bfe7d,7e71811,7f308b80,d30506f1)
+,S(507d6a0a,5b7d0385,11c65dea,8024c706,4d3b6b9b,287c7192,74c69797,21f5170,139f1647,70ea83ae,47ea8141,c3ae32bb,c12793d0,ce30fb37,2dc3adad,7f7bf5d3)
+,S(7c6992f7,a059c5be,99b7354b,10fc217c,e45620f3,b4ff30d6,d640fd3a,26bbd846,964474e,fa63641c,2aa7062d,7139fbec,1f64e6a0,50e1ad03,2741a0e3,b5e0bee6)
+,S(f62832b0,1bf65b23,14850750,9ea6f157,3d5e3317,bfb0a38f,cfcc6692,5a698bf2,d7314810,7b8fdfd7,3f6ce6f8,84f375bd,1546cc3b,8c75840d,3668c2a6,54c1ec95)
+,S(aed21cab,d8e4ec36,2b4e2091,3be3c7c4,594f628a,cccca657,deff8b9c,6bd1ebad,f800ef3,833c7ffa,a8ade1ac,2f41d456,b880a205,60251dfd,f9cdd672,bb7100f8)
+,S(46de78a9,343a9a41,6b91b877,aca94252,9e0ba8ca,b6c01f66,e06cdfdb,714bf405,c1441252,4f3ea73e,e12809c6,f19184d9,81f30b87,8df8bf6,6c89d98b,ed4d2bcf)
+,S(2832b5b8,ab82e932,5356ae19,3043b99b,ba4b6591,a750a174,a6303b42,54bd41bc,c0363e03,3f59f149,23ece534,cb86695,a8275224,f490849e,249e63f7,34aba440)
+,S(5b57c502,4b5c1621,77cabe39,b0f36bda,d85bd04,2736c7ff,9395f0c4,cbe43f9a,842407,dc0c0473,f1bf57b9,b35d84ed,b282ed4c,7adccc06,8530c8c1,bd20766c)
+,S(b384da70,8063758e,825bf821,196b4a9c,814c45d8,a9edbaf3,dac4cbb1,c1c2f103,e6e661df,6400cc40,74f92596,590757fb,aa237515,af30ed13,df30befd,230fa325)
+,S(36ffd991,563e448a,9b0a5da9,61a5466a,82a5b672,15ec8f8,e7300c5a,5c9a5e1c,97067835,fc17d47e,94187320,84d722a5,d1a742d6,4b513b6,32aed897,bb961c)
+,S(8367e452,57c20367,e4e60ecc,33adcd87,5b9d142c,c6c362e7,f5aab34a,ed89d81c,fc7ff090,3ffab26e,d38a9e74,df43819e,b77ce2d5,bbdcf27a,f1f3bf19,948be121)
+,S(f6ce47e4,8cc9296f,b40539e2,41238658,4719fb9,d4b1ad17,9c98969b,dcb0564b,368d2b6a,fe5edc0b,6f159017,5cd192ae,b524a606,7800aa60,930d60a,87950e1c)
+,S(438c23e4,bedaa6f0,527d20c2,a725645f,194ccb58,8ff9eac6,5091da7b,f9fae013,54620a30,c7218257,dbdc93b5,3722a213,e28dc6bf,f8e48b45,6d6131a6,92ff15f8)
+,S(1cf672f8,cc9434bf,7ace8722,85db5017,a1fa1dab,2eec7fbc,84e8492d,86bee7bd,d6d23d25,8bb4dda5,957ccced,b767cefd,8932b511,e2479018,16734bc5,b5cafdcc)
+,S(47464e12,b0fa29b6,6e9cd157,4f7155fd,94305263,8af28bf4,4325a23f,3e1a2861,209a41d5,3bcdf566,5e966e80,84869a83,a2468db0,a1b19e56,81da864d,a2b05141)
+,S(a9adfba1,c884c904,e6877a0a,9bbf73ae,c4ee223,e0b02ff8,717c075a,6aa964a2,ab16101d,a7bbc35c,73f371d4,afeb527e,b2d809a0,8487a36c,6cfae404,83f79dc8)
+,S(2932fede,10600312,5ac983dd,659ecf95,824421ae,5f417f97,d3101c6f,c58edcbe,8601a743,e666156b,f2e34fe0,6f4cb11d,2df54fe1,7c842176,e1075423,dd76d727)
+,S(5abf5528,2f87ad04,202b62c5,8ff7440c,64f9ba39,e6989df3,e31d665a,73a50216,71dc4e16,f2705c02,2ca1b37,edc5ce0,610b6f57,282d69c5,d3269295,5a1fabf)
+,S(419495d,9a121cad,41887fc2,82c2c7e6,f359cbc,d24093ec,57399c3d,a801843a,9152e197,40295094,11afefc7,83990732,d5e6617c,d8e389d2,956536aa,f73e0c31)
+,S(fca38482,ea2be49c,3c27979a,5acbb158,a902bc4e,226f7eae,4165ab7a,29fbc3af,1260735e,5fe62664,90a35f0f,7296c441,bad50a75,7b00e34f,28856a6d,cf46f5f4)
+,S(bcf05123,3d703688,aca13530,55bc3ab2,d499ec40,8c912de1,4b7af456,55065d06,f32657f1,645690b,35484e63,a3456885,c16d4991,7670e71d,5f5cb65f,a5fb8bf9)
+,S(4e70b42f,6391b424,b159cf74,f5fc96b2,68bf6cc4,a26658e4,79dd8a4b,8e9a92e1,8ba78811,1af31c06,77b24fa4,4b6ce356,66c595b2,3fe4fd36,591b33f7,e53b3688)
+,S(3fe853d7,331c60ea,c213703c,a7628dc1,3cdb83f3,8a25ce6e,1be84f0d,e921742f,fb7dbb77,c2c6dc13,6f596154,f24dd3,f27b5125,9b60476d,b230e54,5ddca5d6)
+,S(d803377f,c3cadd40,a2aa810,4e97641,ca42f582,3ccf65f5,ee726349,f648b9be,6357b84f,281a8080,54ab7fbf,ecc113ac,aeed2118,5ad12900,d824719e,8fd6fe99)
+,S(5ddfdc7b,6f9e7162,2b7128e,77fa5ed2,90a05114,d6d8b845,94106c9e,70bebe1,23eaced,fa1efb7b,fae74c81,a1d03066,714b6dd9,1198e1e9,d5911ee4,55cd76ad)
+,S(5f150243,c964948f,e91353e6,b12d167b,7913b46e,d7214411,5bc4cd4a,3b6f7dd5,36abc949,7a2fd102,14991e2,ba360c4f,b18147cd,955754e5,71cdd4d9,b8af903f)
+,S(24b4fc97,5b0c4429,7a4cc89c,2b127eff,539f022,61544e14,97969bac,50942647,bd3e3fdf,54ad07d8,5faf8881,9014a77b,11d96f2c,a43cb8f9,a823a257,9eb5c207)
+,S(a020eb35,5556b5fc,9de5ba2b,28644187,f11b18ea,ae61e76e,1dcce55c,e42202e0,9a71ea1f,1ad2f457,16b667c0,a982e2b,9765ac6e,beb71880,27e9059d,56639f66)
+,S(60b79064,f7173eac,60531de5,961c47e3,8a224c78,ccd58a0f,86f6afda,e1f37a68,3ad04a4c,f6a47d6d,6b9fcbae,d8b54a7d,3437e4e3,627256de,cfc5f38c,490786b7)
+,S(835cf1f2,b57d1e54,4ac2d915,9c8e3fdf,d2e233b5,d1109685,1777b7e3,a1f7d60b,7d23dd35,136edb13,bbbf7733,9e1c6e01,a7112f95,7c929b16,1665ca07,f6a84b31)
+,S(faf74350,1f1edad5,2e1d8ad,e4b319bb,606cd7de,3188cdca,b1d39527,837f77ed,dbbeb0bd,bffb580e,4b9a0fa0,39b7acff,fbcd11b,85751476,16d48bdf,fe21bcc9)
+,S(396c6fc3,e072bae2,3e7f74ed,f121271d,44091a5,d3b2a762,a39dd77,d2de938,5de522f8,a143544d,4cc49940,96b8f54e,9fb0e076,f46aa479,9e99d162,de6fa667)
+,S(f8ab940,ad8df2ca,1c2622f8,8ef20c,ae8e605c,1e43b684,881147ee,d44ab88,99fe5281,fa7427ce,c9857163,f804c429,630d28f5,33e451e0,4063e70d,ddbff796)
+,S(a6202868,af6dfffc,1e122219,a829c374,8197af4c,95901e78,75841b46,bd772367,2607a20b,c82a49c1,4fa54eb6,f8d68d8f,fe9c4fc4,d83b0e4d,145f7bab,5e9af45)
+,S(b12d1993,49a98616,90764484,23a4fdbc,cfbced5f,b76a2bda,4d7c4984,7067e41e,a66dd4e0,ac6c8ab1,29045eb3,f7014449,73fdd555,7001b7ec,99c33d,c2d75e31)
+,S(8dc8f55,b4990f5f,c6cd3b97,b1938304,9ae0a734,5cdc9c64,fd67bdc2,15eb3b3c,1be7457d,62cc8fd8,cbb54cc3,88722f4a,c00ce438,c847c2f5,fa641119,e5435d83)
+,S(2c0b7337,d1db9e4b,7d521c4b,36351f65,f128643d,add0c53b,1b6d619c,658feeec,e8a27b9c,eb7c1219,f7bdae62,c07cee15,ef765b95,3b082d9a,d8b99005,b39bad53)
+,S(891fb4a2,50100689,a48a0d1d,22414ab2,b17ad692,bb5f0d0e,66d06c93,da3bab35,41685166,cdf43c13,be93c03b,c347f3c8,52d06c0e,661a4c7c,cb53e24,e7260f6)
+,S(4a3379b1,511c440f,e7213729,de668ef0,39fbccb6,1f5bbb02,ed99ed3b,69ca1738,b12a3dc2,39e9191d,a89d75ee,db44ce88,17b3bf03,d4172b00,39d1464c,a3ac0f6f)
+,S(b8b2a7c8,54936bfa,62da360f,83bf8d65,7dc58e3c,1c8780d2,2c57061a,5f815521,8f922c0b,7719362c,25ac7001,252a89ba,1cd4412c,17c2b021,c065a3d5,f6a2d15b)
+,S(9066fe19,d1dc52e5,7a9341d,77cf73a8,2fb56ab6,22c97a7f,f0191247,db9624fb,23d19b43,6ec3c575,d81d4929,eb6789a4,c281f5bc,abbc896,2153e7d4,711baf50)
+,S(bf9ab14c,19c9e9b1,ca1a18df,2b5b73ee,9f32c8de,6e6757c2,b0534d75,7cced8ec,ec969923,3c3863de,aa72418,837a3af7,85e79375,d5bc91dd,481f174,e9759c0)
+,S(68b2686f,9c654a02,225b7e69,e8eb7aaf,78c65686,e885b1af,10265e35,316f9d03,1d3d7504,846826bd,8554d407,739272ab,b6b407d6,f4f7419a,f284b81b,f14da9c3)
+,S(20dc8385,5251a21a,94c989d3,92c9f36a,4d3bf669,bf7bda7d,e0427003,710bf2fa,217e6ff,713d329f,f9080c4b,3608c877,975d6794,5623e24a,974760f0,95aa749f)
+,S(f0beb49b,555d998c,a39859bf,8c59184a,5c822e46,9a875568,1689a1ca,b5fd0368,e0e05ae7,a23ddf94,ba33b3b3,a75d3f4,2e8ff7f0,160c32f5,3bd08b40,72664aac)
+,S(8f1aa973,270ff9eb,a41ad8ab,f2cf4c44,16ddc1ca,dc8a62cf,aab5a3b5,c4a0ee57,90aa3660,e3409b17,a86a441f,12f6eba0,2bd6bbb0,2b9a0a87,71e30a6,595920ec)
+,S(c71eb135,278dc147,60cca847,a934b880,fecd43a8,aac9dfb,41382283,928a9957,41667f77,485281b8,89307ad5,decc7f6f,51d23ac4,7e71b299,a9d8715e,b6003804)
+,S(e900726e,50d66a9f,37d09df5,d4965c5c,fa904d3d,bba1d180,b0fed651,bec41c81,d520aa30,db036f40,b34e64f2,cdc7d7b3,117f7725,786e9d5a,921c5f09,71028e39)
+,S(940ab0af,a15952a9,ba3a6d6b,720efde6,58d72dd7,4f87cc3b,edae63b6,123fa38,fec6d747,6f788a19,b85e443a,a49116e1,6e5061f0,53c40702,f8765d28,f3bfcbcd)
+,S(9a13de6d,643e9866,4df3ce9d,412c5ce6,a03ba46a,640c6be,8b62e70c,a8c76949,42388296,6c2d8d87,8b4c914d,4bc6cbc9,a4601630,2eb6a499,6103953,6926dd5e)
+,S(438429b2,b31129d9,4a86b149,7d7f62e9,b76d6a5d,bde09d6f,256f83ba,76c577c3,e4360186,a7229be1,b33cb600,be833bdb,b2398e98,7c46c6cd,2e44f932,5cbc1c7d)
+,S(3f63b25d,66d472e5,fac7b524,e4300e97,c8bb59be,6a3a8f01,8c1677c6,96d02605,4587042,158e19cd,2bd19bbe,5cff2c69,d9971aa2,fbdf649d,44c95f3b,50ca39dd)
+,S(661fdf7,17c7a520,a384f90b,98dedef0,47afe5ed,6cfbd3d1,e1735c5a,bb8cc0c5,bd9a243a,b43c0e19,2592f00e,a52f820f,b83b7433,b1d96549,d9970293,7da80abd)
+,S(b9c1bb26,daac6af7,d0c27c36,7ea2d4c8,c999d7c,75bc58cc,279c5f89,5ab951ce,a4d3bf34,a42b86bb,7c66c5b2,eed5d7f1,b872d17b,b58c938a,767b87eb,1b140f4e)
+,S(cf5ac4a0,fc6cd9d8,50aaf473,3efd2bb9,7d9b23ec,bab5d099,9b11bfa0,b127e8fa,44926316,c37f1718,7fa94fe,3a62caf5,ad465d77,fd484287,2caf1605,f91070ec)
+,S(aa52b2af,ab8da32e,3b882c57,ff0a34fb,749caaa1,b3c29b74,13c86471,beb3b422,4b562728,4a7be595,1b68df35,e320252f,73326084,16c60244,ac4e3ecc,c0859ce)
+,S(610f22e,b3aa08d0,a9f2909c,546896bc,7926b056,7987217a,d347f183,4868211c,a52e190d,f35fc4b3,19571e6,166eda3d,2dbf637b,c27746ea,c1bc3552,4819e6bb)
+,S(13f24c3,a485a58c,e0454330,79512796,db65f15a,4265fb44,acc3cc34,c51a6d80,faccbfb6,18e069ff,3cdc4327,cf807366,f07976d,b24fae61,1a44984c,7f3bc3b)
+,S(15cebea8,49279b29,cb0112e6,922c5a85,caeb18fb,415cebdf,92285d9d,a0eb0f24,23e5ccfe,158ff9bd,539af7ed,4a77b1c1,c36de452,8d0c0d05,821e89f8,e075d833)
+,S(2605a18e,fb7d5367,dc41b1d6,24d61a,cf92e0c8,96f29a5,5f2dc872,4d97f6,8d6a6774,f111b7ec,dc58ae51,80ad6fd2,fd6d674c,9402e2f4,f944bd50,5e66d375)
+,S(e588e272,a78756f3,7fa36d6c,d35b362a,25cd0513,3694b56c,33d0b05c,be7f9995,15beb983,20b84296,9b8715c6,ad23e53e,115425c0,d071917,66e56ffd,5472fbb7)
+,S(80032522,f264edc5,b6b205cb,f79ca7e,3a02cc39,93458b6c,cb98750d,bd6b46a5,479c92f4,fb4e1eba,98f8b93b,5aa9725e,fd2c1de8,d4c3d043,bca7183b,851a44a8)
+,S(950c040e,e1a581b5,70501308,a21287e7,94b525b7,f916d3f3,c166a2fa,1641bfaa,e43db20e,911d70a6,9f171725,f760237a,52441a88,dc385a75,1e4ef1db,b738ea71)
+,S(e899ff36,423fee57,2e70aeca,db8bc0f5,a634b9be,282dd875,9db5500a,86c391fa,7ed97b0,dfe6b68e,26710034,f87a911,88611790,cb18a790,a0248c7c,b43a9bd1)
+,S(d236688f,c206b7a,8f8ce5c7,66e19fb8,6a7415d2,9c57845e,8332a5cb,d8a1a51b,72f2359f,e3d54a60,fe6d6508,5183b525,d5098887,55219113,adb05c2c,656ec9e9)
+,S(8d3d7c71,da4b2f24,83e458c5,85c628f5,430eab5f,ddc2686a,e94e2fa2,119dcccf,33c408e4,7948f20c,bd79c22a,d647ff1e,1f435c03,1f594aad,82778f58,1f61178f)
+,S(320f137a,e8918199,51a542ba,5d1063fb,fee4b750,c56168a5,87d7fd9b,b72651a9,b840546a,e2a4e1ef,32275a02,153bf003,8603698,a8c5e232,6795bcf3,d3c402c5)
+,S(9e8affce,3fe6b259,f4568607,2d46401a,7546c87f,9a46e0de,8ce577c6,1881352c,d0ea3701,d83b7f7c,260ebaf0,97236525,af8639f6,c53ecf92,73e77bd4,c29d02f1)
+,S(5df465b8,1d353987,293c915e,a24121ef,daf70ff4,9ad2bf53,9bec72b3,c61eef64,3206c5ff,5ae4c841,58c193d,40f46083,8b38047c,f33c3e54,38541a7a,d5e690af)
+,S(999cd326,a18c350b,f4861d48,826ba3c5,1312bb39,886a064d,6e1465d4,8ef28f58,2cd8ab2a,d6dccdf6,7998e662,99551608,a9fceab0,be884b0d,d418911d,c8b1ef12)
+,S(81d8fcee,574d9c16,fa2ba6f4,255460cb,479a6667,4761b4cd,c0ab026b,6bce163b,594e7f34,f5897a6a,3b79a996,f5a69814,3cf771fc,fd7c8ca6,38cb4ac5,98673143)
+,S(9e83d724,b9ac73be,f932b42d,56f85183,85839c9e,c953a0dd,4da6d843,d096d278,f8b18cab,fed05acb,89efda95,ac496ec5,d3a000,a4a1d689,a1afa5e2,30c88869)
+,S(98ba38b1,3b443c08,aecb1f64,73b2d901,908ec33b,35baa317,64f91144,3e320c3e,343f61d7,fc2232fb,f5d2f972,e6f42f49,d8ece7a,3434a0a4,4df1d602,3f99b84f)
+,S(2092ea5a,9adf5eec,5a7a9488,6e970671,5822447b,e6c35285,de704806,52a875ec,ddfb72eb,52382722,a94facc8,e2616661,95a7e9c2,6594228f,304adc7b,ea4e7f35)
+,S(f9ee909a,8f45a05e,ac77bce4,ebc97410,c044c639,95a1de76,5b9304c2,2eeb75a,861031ba,93f5b0e8,473e50fd,2aeaf13e,3a39c0d3,7e2e9d51,a41ee4ee,1301705e)
+,S(a13878e2,3bc55a7c,b342dfc0,2eea9bf9,5c676e27,c63e8603,c75ce535,35df101c,35c0ced0,3d4bb091,92a2f83,3d3e81a6,233f0585,35c72ed0,1bfff82,7b108427)
+,S(e8ec81d2,cd32dfd8,7284cfce,9d80c03,b863a7f8,3a71865d,34f7b1b6,104ae3e4,60be9b77,ee12dd7f,f532b01a,f517bfc9,1d24c4e8,b0865e4e,c6e27227,417648b)
+,S(f07cb255,1529dc43,3470b18f,e4e06390,d48e9898,69b9a97a,6642b898,1cf35b60,bd46eb77,6d74633d,59b4b941,2e2355a9,c6e85421,59513d2b,a3297a6,c223b550)
+,S(39bce423,dcfda9f0,a97189ae,a60b836,42becd3f,2f2cbdd8,2fe884da,baaf7f51,c1599caa,4b71219e,74490312,7303ec91,f3430be8,14979a2b,2db78bb1,ea2c8e4d)
+,S(6da611cb,d51db814,18b3de21,13c9e4ff,58142f67,cf2d8ec8,e0fd105,1e9ad3cf,6bc2f048,3250f654,fdbd494e,bb03480e,f7fe5568,2e19cd70,4d178ff3,41e4b7f)
+,S(cedb9c03,8d2e0eb9,8a4a5e8e,fa7e95c5,f4e13a47,79470c70,9a3c9fbb,8b1aed8a,79a2fd31,de42d8bc,820d5d56,ed084f40,46804fa5,f7f5e8fe,eca6ad4d,859a0d40)
+,S(7d895498,6d1106d0,32f40458,f6c41fe6,25393f84,d00ded8a,3a07a107,5ae3d82,5d4fb6cf,ff1c594b,61aa117c,7e0ade0e,edd110c2,b2109866,ee7d586a,1a6d0d61)
+,S(a4f29162,737043af,eb1e2606,93ecec60,851aaf50,c6e9daa1,75a00c43,d7dc3df7,beebfce8,fb764b15,38fabb20,145aaed3,92265d7b,c4628846,b2726821,c79c4439)
+,S(b6389dac,de4ccb08,ec0ce964,e689bbcc,e0ba8165,6680c0a2,9cb162f0,f91cab70,e440c7db,d2d02474,17b2826d,28e31fe7,9ee836a7,eefdacdd,679040ca,50303529)
+,S(72ce6dac,f752c36f,978ac2d6,aeef37f5,ae4ee016,999ccb49,27b8aefb,f6fcc9e1,ce6ac297,bbd84403,d60c6d4d,5e01027e,8ad38acd,e796bbc6,7c45f10e,d79bbca6)
+,S(efad336f,cfd7425a,560931fa,a6bc50c1,4fb3e5ad,f8ad175,31b13846,6c255f06,3fb784f4,eeee9a11,ec7ab559,71817163,9eab6b09,4419203b,2b422e8f,e15a82c0)
+,S(f98d4a2d,4bb2166,7c74bd1f,393ca57,22002c6c,f382b49c,2895deb2,34eaae3,9875e31f,7e3778a8,34750763,c6147cba,97a26f8a,d669e69e,9a36cc45,b56fd148)
+,S(768cf74d,2bc24233,2c5eea34,2ac13ed1,2b0d161e,65876eaf,b0b89460,c934183f,42337607,e55b4d7a,f86e9f72,dd06a550,af083b32,e72e6265,4ba00fa7,a2fdc34e)
+,S(ac26f3b0,1d05c625,915ec27a,aa916d0b,d34cfb6e,22525c59,9791274d,a5beff7b,e36760ac,89b61681,d1913bcb,1ebeb199,a3005576,b8bde54a,42fcecdf,e94f4045)
+,S(dadd4181,741a0be2,e665045e,1b042a3a,fcd9050d,a08d1285,21298f34,1f74fbac,6cf46fe0,da78dd04,261e4e2c,863574e7,f6a4dfbc,a902802b,8056e00c,e4a84f60)
+,S(e5651598,ce9e6a86,2fb139ed,143f1b73,2c4e1eea,91a88f82,a6fd0ab9,1a86a3e8,bb421336,69ab6c10,109723d8,ff4d5f6c,770fd8a,d569a21a,9e9efdb2,f1f1ac98)
+,S(f26f791e,b4f0f596,39b69b45,401ee3ab,2d47a2b7,dcc3d65,de9e48ae,270f5b02,22e34b25,1fe5bbf2,5183c799,ea45757c,2693c591,633a84fb,e1a9bc0b,470ff699)
+,S(a50cf10b,95612f48,7a9da048,a84dd8a3,2d2bec22,9db798ac,19fde68e,623da9da,50107d3c,a76a264,1db9f9f4,7cd60598,ce345ecd,cc3de888,e4c81553,bdcc576)
+,S(c74883b9,2736c1b,d5f86a5c,1817cb9b,e917e5ab,5ec5cc10,a1197f1b,a45c13c,e03c43bc,e7393cff,d53e73b,60ea2759,d1c2bd55,c2b7a32e,847f4bd1,2c8beedc)
+,S(a3437d0,1741ed88,bb05c00f,629e2c8d,be7cada4,dd002e9c,98dfe800,9e1c0a9,a627e05a,257fcabd,1fda00af,a4d3eef8,fc268e67,bb41c9e,d2160713,847bca1c)
+,S(a6cc4988,f179bab4,de98ba89,530686fc,90c00c77,4a3f093,8329ffa3,99c8312d,f4eba473,7db25a79,29bcad7c,11346471,bbba86ef,4f611643,712ff475,9d70b6df)
+,S(efb34a8,f5778d57,b3333077,6ca1abe3,9e680183,13936f24,da1aca,70b84dbe,a94a216e,fc53fa98,320878e7,167536ba,7e5845ca,149b2595,2f029878,7f428d3f)
+,S(139846d8,1385e6bb,b23914ef,487fb9ab,19ec3b8,3fa45a94,a2c5fbd6,fcdfa07a,4fb7cc4e,599b10cd,a99f6aff,28dfda0b,62d837b2,e8c96aa0,9c34cbc6,acfce099)
+,S(660923af,98ba567a,83df6eea,ab53ea62,49c2090a,13299bb7,a538cdab,adf2a101,b28b58ca,b1a29722,699890ee,8462f440,ee2a5686,9715478d,4460f0d8,8c94bd29)
+,S(f18092b5,8c7517de,3f389d31,f1a6345a,d2f86bd0,c1dc9a98,d3e03890,f52be3c6,a83e7a04,91484ed7,7dc27697,33b0321c,440ca763,2a36c6d0,7e8a9afd,68f9c906)
+,S(e8d0aa0d,1b2c540f,38a6a6e2,5b5fb295,7b700467,648cff74,bfee1138,81d0ab75,a324cbbe,52055c1b,d0cc3f29,88a80982,1abfc0cb,feaa56e9,f19bb8ab,d314409a)
+,S(2586a0c0,230a0743,f9613df,51f7463e,1d8ee72d,503025f3,c7d2dfc4,6f526c1a,a29735a1,eb2b470d,43c7b469,4850f5c3,ce9b1da2,47406653,ede03ac0,9816c735)
+,S(217cfa88,8d826d46,c31bb2d2,7dd7c8f5,8be68254,e42c0e48,a12cab42,677dffd8,4d5d9c30,9ff0fb15,35f9901,7af91ded,34179c57,f48131a0,6d96b6a,c01ac4ce)
+,S(4ea65934,71aa3b8f,9e6791eb,37cfd67,943af3bf,100d7ccb,8203a353,1aedf4c0,feed9ac4,19a302c4,58047403,5c95e997,ded8a534,c88beca5,6c12984,84b7b4c5)
+,S(974b828b,51026aa4,ea522150,c497eebc,7d7759f2,c9645f7d,4faac24d,18c7a1ae,c0369da0,c3087336,2566f344,ca81f261,65cd3a03,fcb05093,96d18fed,4faa9d26)
+,S(d9815b79,d572d7a5,94dc8ae9,3cf45b36,99bb4544,ed1d5755,529c7096,9c978186,9fcebacb,f5181954,ac4ea24f,508fa67f,5b6c20d8,64ed53ec,d67e358a,e75241fa)
+,S(52712597,d9bd4e7,cbd506f1,bd65aac1,478208bd,f9f6ad38,efd2b30e,b8368837,52eca996,ba2cecad,9a0911d1,65368010,68bbf0c1,12d6dd79,aef23262,8b3df18e)
+,S(d94231af,d890f5f9,ef70e1fe,e8a8f4e8,ed2fc89e,2b8ad818,6af55de8,449abf6d,26592b6e,f0789218,273475fc,32d865cb,84278ff4,8cd0de27,e0646549,219e2867)
+,S(64851231,7a69d956,3b3a99d4,b763eb9a,b661f7b0,714d34bf,e5328a4d,a99a7d90,eb20ba33,515040e3,6fa02088,5a3e9216,1e06d3b3,78122fb4,af4920a3,51d46bc6)
+,S(d0a4b11b,ef662f17,98f413a5,fc062567,70df9edf,ee00217,79c3811c,ef68a8c2,d4bb9920,18e16945,c38ef5c9,9ab39eeb,748b7a63,ff4d4dbe,8b329f74,dd70b9cd)
+,S(1d89b886,c4b24868,1fbe103d,dcbd76b1,dcf54637,3bd5249b,3dc07f06,985802b6,a339ccca,aacd1057,7e36056b,a3a70c6a,a7885a45,42bcdf30,30d0939f,6369535d)
+,S(b6cecdd5,936343e4,f136682f,a38ba0b7,9dbab223,beb0b6c0,10a75cb2,e4dbb256,2935c053,87dd87a2,5bda5d1f,ed813666,5f77d12e,8242dd58,3ba8db03,319f7be8)
+,S(84b244e0,a0cad847,35ca6c5f,bf581968,40f1b491,98682c4,28aea50,bf2f8e24,62e28e8c,7df80b11,f5713087,ee3a5d8b,148c8e62,da0de1ba,d8289ac8,861f7a71)
+,S(f95eccff,2a908028,39436610,2e377c41,66433159,43feb6d1,638df6c1,cc114d1a,bd0da83f,1a0306cd,b8d1b9ea,189856ee,56d16e81,61b4f9ca,7de38d2b,e558eba2)
+,S(7c4cedfd,3e613de4,af2ccd25,59a2dd23,2a1e6335,e410d327,27fef321,d10f55e3,331f2109,d9d00536,c697f73c,672a660d,11d4827d,41306696,cdc224e,e7d7b1d8)
+,S(235c2e38,1bf2d829,e4b918de,435e276,f88af866,ed31a1c3,4b9f7203,a0269713,50dcdf0d,2671092e,e7c48614,44eaa87a,815a1304,4600fd0f,f26104ef,a0dbf929)
+,S(2a961cd0,9ab50975,517ca488,d1c4a388,cdf2686,c5dde923,76128683,ea07cd73,85c91076,b2ee46d2,3cc0f7fd,e7654723,84f84c2e,edd7552d,d7f93be9,2398abe5)
+,S(958bc491,f0afb8cb,8713f591,cbf183f7,e00c4775,93d1b51,a628f40e,4cfd65e3,bf5be339,fa21dfe4,9113e026,af0761a1,b2a09a7a,ae8f6eef,92d50c6a,89a65b3)
+,S(6e960ca3,7b5b7abf,99f5a2e2,46b7e953,adb5ccc,6424e73d,dc865bd8,3d5f78fd,53ad4bd1,d5e9643f,5f2df612,ea16fcc8,dcc4b0b2,9ccd5a81,bd659b35,6a5e0e15)
+,S(d7ac920e,9272bbad,dd961525,7d91d6a8,e747e4a7,a48ddb5a,8b2ece8f,f0d05871,6381b9fc,c37bac5e,38c0b96d,c098c3,9d4c7620,61b66dc4,adf66e24,f0c87ed8)
+,S(9b0803b,1de95706,ec123844,ebe941ae,4481c12f,f2d9c078,b6c1d531,5d730609,160cf3d6,b12afdfc,eac2ed01,fe4b801c,5a5ff0bb,13cc3ef2,f5f0962a,6b3fb1b0)
+,S(5d50746e,5b74e006,9dce0153,aba04216,991bd509,f022f3ea,689553bc,a4c5fd88,b0fb205f,d2a14b1b,bdba2e48,429c92b6,99cb336f,b6ed0e58,9276118b,6b259ff8)
+,S(e1bc2669,fa27629c,92708748,36008c2d,ef4483ab,c686ecf0,bbd01a85,fcbe04ff,6fb7af71,83c0921,6173fd43,5b3a1b2b,15e8b149,3bed8e78,3d409f84,cd95ecf)
+,S(cfc9081c,b5a893db,40c51979,7dfa1cf2,f36ac620,cf7017a2,fe90dccb,d8bfbf78,26a88d23,50772fc3,2f377c15,a9bf817c,db321d1a,55c4d659,b5f29ae6,96a69ac2)
+,S(54d9c9d,12bd68c5,3961246d,b98ed78c,cd8ad158,8458d4b0,5fad9df4,2229bb9b,b5e97c31,1dec2259,630c961f,ed33d7d4,f8de7005,849225eb,a4549d76,de1cbff6)
+,S(8a914ee6,7e9d6619,d00f1924,8735c7b2,bfb11eaa,61fe42e8,d64b5a53,43057dff,1b91e1da,3374da49,8bc2f018,c2a6fa51,99c51846,a2f59b05,a6311ac3,1bc040c8)
+,S(d4b81177,3e641dfa,bc704fba,e9ab0ab8,aa2f4c42,fbd23b03,a0b0595,d0240522,ac30ce3b,1ea4a14f,4a5bd364,20f40df1,cf2e6835,17107b8,ce6fbe05,665cc726)
+,S(b810a787,c232357c,bb82c351,79249f64,6f3c8e2e,72e0e004,36226670,14780ba9,54364034,1078dd7f,216bac76,9abc8467,4a422c30,f1b7aef7,6a2dbbb0,158319e2)
+,S(d71f88ce,dc738ef7,1ad691ea,c3a7eed0,d29c762d,8ec7ce0d,14e72d3f,f534a833,a47cce83,1aaaadae,a2d9d0d9,7b4c5125,97c1b514,95c3aad9,d2a4e716,cfbcd99)
+,S(170cf31d,4cac628e,139d9d89,662ce5e1,1ad7092c,cc6c6174,96c99d71,6d147ffc,4fb3b894,e741f585,15e8baa,addf3119,adf6c4ee,695253a4,6f9a5dec,cc6d77a5)
+,S(8e7692a3,b1275e80,38ccbf66,ecb9a55b,bfd48d49,4085b4d3,1729a644,ecc316af,f339c1d3,af07525e,26500665,ce66a91a,4fc0bfa6,b8a46411,34cab540,68c504b1)
+,S(5d1ff338,3dda5e81,32c47002,ee2b77ce,a07ca869,e7684d40,a27cbefa,4aca891a,a1adb3ac,b0decbdb,6772e62e,74c4516,fe843833,8d2979cf,5b091801,bf5fbb8b)
+,S(d566cfdd,a9dec66b,ddf2605d,a37ad558,375e1c5c,5f5403eb,d75ff6ec,3c2b8af7,13e2232c,78586da9,741598bb,25a90a4c,b6007bd7,bfb75ed8,427ade0e,619c78bd)
+,S(cbd708f9,cc713af1,999ae74b,2b9ee3db,3cb85bce,249c5e33,764997d0,2fd96493,f01a1d6c,4ca9b0b8,9337a5af,889d8dd9,c264f4bf,6b8066d6,55cf9267,684cb2cb)
+,S(fee1ece4,e8ac73c8,8220bea2,153800f3,e8d049b8,f89053f4,ad4b5ba3,f0ed0fe2,9b5208ea,17c80640,a353354a,7cf42f6a,f9763db0,bdb0954f,53d56a2e,ea26aad6)
+,S(c6aafa66,de444853,8d7a6c3a,fcb35a8d,db916f33,14c15dbb,79c48bc9,46ee843f,8a61c6b6,7fc590f7,bc81a761,7a6e24fa,34c49d5b,30b11bfa,7cdaf3bf,d1505b1b)
+,S(ac351560,83d91f7e,4898551e,7666bbce,dcbe21ff,f005ef1e,a866781,d9aac415,d709d997,77109afb,28c318fb,eeec8a27,5577410b,8da6d494,5ac7d660,1334483d)
+,S(a89c2616,7c024b4,81455d19,93ac04f5,7a212e34,95066ef9,21968f72,3d914e18,551d3662,6127866c,77df092f,5ed8dab1,3569ce68,433de199,ac8219ee,13a3c1ab)
+,S(9951831d,b58499ea,e94018d8,cfb9162e,b045b95a,fd246a3a,72e8808d,1ca3f06b,fe39aeec,b9d5f867,d5827146,fb384808,81696ea1,5b0d1188,fd487b16,d9e4d773)
+,S(b71e17e0,14564447,955be26c,61ecebc6,8615e2e9,37cd2e8c,78d26922,681fba96,ebcfddf1,d21fb8cb,95e3cb22,4efe9553,1a6c5ba9,cc92bdc4,3011c50b,63b9e3bf)
+,S(e170f81e,dbdd9ff6,d460ef6a,1c3d4bcb,2fe89fed,4e6742c2,2d683ffc,15914074,93f110ee,f971cac,8ce206e3,df6f9caf,801fa7eb,c7df14d2,d6f67e72,ab96e67f)
+,S(431a5547,318d05c5,5ecf04ed,a1fabbb1,4ac8dd8a,47dccc73,acf5d5c8,1ec104f2,3e3188ad,7b141a36,4afa1f04,57ca827a,7a6f1f70,75ca8dea,6fd08bf2,bfa779e7)
+,S(299e6a6e,e1587523,2be26ce4,a1f80cb1,3c193291,7f0b5eec,383ffec2,62203394,5dbb70ed,3ad4a211,bfc8e8bf,4c00a055,23c9b3e4,ed3790c9,3bb2a77e,5301575)
+,S(66db488f,f2b58869,b2fb5f78,61e7f825,bc99ac9b,ea02b59f,b0978c9c,c38934ee,ab76e112,b51c83f8,b10e997,2f6866c4,6040e7ef,eb14817f,c316b730,e8ae6a5f)
+,S(1259856b,66980d52,bb3912fa,78ad5b70,54c812b5,fed402a1,c3c8247d,26274932,ead7cd3f,c67895c7,edfe0557,d5681bc2,d70dfcbb,870c7c22,45d458c7,f2150383)
+,S(502c8614,cbb0f3dc,caa5272f,dd252c7c,4269968c,efebecf9,102745df,fdf1cf00,711bc688,7e4e356,fd9d0695,16af0a38,1b2f4500,6487154c,10b90995,3bc53c3c)
+,S(e051193c,323c6403,f69c1073,47b6b7fd,f43acdec,17c00c42,2249bcc7,aa8d6fd,2102c271,ce428ee6,16d1d2bc,f25c2630,c574d9b1,87f8b9f1,c85117e3,8a560455)
+,S(c9187bae,d768d32,29fd90c1,5c3b37e7,abe7c58,b538acb8,ae0741,adf1dc46,c130d443,f9ebba4a,197d0252,615ac29d,5714f6dc,f27fc0f8,d7547335,89c92c0f)
+,S(5b08567e,b9f3b3ee,2b03ae70,1c6b0641,23dba4d4,4e8297a1,6eaec8d9,e90fe897,ad071c15,9079c91a,cdee9c72,6e8f4cbb,914d4b4b,750fed92,aa81a987,a90c27c9)
+,S(ae5b648a,c5817a86,cfb06a26,d62691ab,8a9cc554,d0eaa86f,839f4a51,b43ba7cc,1ea8ab0d,b665c22a,ab0a48c3,da17c629,66e75212,a6fe9983,d5e925d,432db311)
+,S(3b9bacd0,a092856d,98eea5c5,ccc9abb4,4f2e0d3,27e578f0,42102148,890178d2,b681e88e,9603ba1c,57b628d7,ea929ae0,b79be447,f181a491,1fdc65df,21bd5052)
+,S(524df580,a74066da,d522f827,95e415ab,f6dfbf7a,1c1f6d7e,e8d05a86,4659fef4,3facc728,5f3bc1e1,a6fc210c,ad302ef1,9c72c5f9,e358b9c1,ed2aba72,2652f35f)
+,S(2e0637f2,ade775c4,87d09a38,3480b875,599a34ea,7fc70cdf,f6ed309d,450e4363,e3c6eb08,7e2f4e49,cc78e903,e4ad55f3,1aafb7ee,ada72369,6da8a0a0,f764738e)
+,S(f7fec6ad,beafbd3b,e413fb33,587b9427,3f785728,226f764b,bda6130b,aa0cc483,f646a974,8eb457c7,fc8fefd8,e63b976b,dd42093a,e59fc544,c66531d1,9e08c68d)
+,S(75f94ce0,6af64c43,2b6c95b1,2d892dc8,cd6eb497,4d826299,29ad8bc4,8a3608be,bf8716d0,a2b7906a,69316b32,21ec0076,6e32c892,2c7be6c6,22e8877b,b1958a29)
+,S(410296de,5e0df3cb,c4f039f,cc869090,f62e07e9,d3011043,31bdc1cc,f3fb4d85,e963579c,a314dd96,ab8a82ff,86265b82,da74267f,c861f96c,383f72ed,3ffecfa0)
+,S(cc824eac,5f5e16b,2f7c1703,d97da67b,69b4e698,16cfbb23,cbdffe00,d73ffa05,17c30da6,9f414ef9,5dc58218,27c7880f,d18c6f1a,92afaaa8,b8cf10a3,353e8abb)
+,S(acc1b0ef,4d26ed8c,d78f0b3f,d3177077,d2074b64,fa5d8d03,a83ff113,7e6e5820,6cce44c6,8519ae91,19d2a80,4f8fbeed,4fcd24d0,169e8000,11150c8d,9c3ce6c3)
+,S(1cb3076e,ccce1d9b,774bccf,4318b921,583c2b8e,31877825,7c2fc71b,c90da922,2a2f276c,58605d,82a17dfd,3ecdc5a2,a6372df2,cf25bb04,c628748e,4ce373cc)
+,S(6efda451,2a22f49b,587ea975,9e5a400,8cb3a521,7a38b978,3d5825aa,84fe13f2,11d44ed5,6dfe2fb3,1ff2a54a,de5a2a5b,60673cfd,bcbd5039,54a94758,878e2424)
+,S(47f69619,aef4378b,5cc931ec,da8fd996,e2fcf1cd,17de9cdd,51b30c3b,9dbf0858,149556a1,9776e3d6,da457af2,a4d70d66,d2fa28a,c33abee9,bf890894,7cb5e274)
+,S(dd3d8e1e,97f5dd5d,539032c5,13a19e26,8b2eaebc,1a47cd4f,8ff48335,794d28e4,7968bc00,20f6a83a,a973d7c6,382ebf33,c2233bb,34be9c2,e0ff9eaa,4c467e83)
+,S(2bd454ee,a19d3a6c,be55737c,d3cb4b32,7de2a2b7,50535f91,97aad2b6,65e16d78,a70b0f0,d6a1278f,34271c66,7ad40feb,9f7c6248,87e3f754,9c1f1fd7,129f7f99)
+,S(8cfe75bb,2a7e74b4,4da035b2,9a26784e,915462df,13ac2d91,4733184,f5a5ee0,648ffc56,bdc87c86,4f6226d1,c9245540,b65c2da2,7fdadca1,eeff2e24,6607cd1e)
+,S(5eff34ae,19c462cb,c2fdab83,24b57bc8,5e046a68,4f112f6e,665b3255,65724d36,198fb5bb,9db347ff,c2289629,d2e01051,d551e783,47c6a6b0,ccfcde15,a04d68a4)
+,S(9aa54554,f3673b08,e36db624,47631774,a2c51bb8,1f18aa61,426639f,78f92b91,8744a3ad,4a6e7404,d2e22faf,272b50bd,1d167b46,5f25c6fa,75c8d784,61384806)
+,S(4b837575,8cfb5970,dfc7463c,5df06ebb,ac88a2a8,b9d7565a,955cb53a,5ff259e0,87591d42,bda1a53f,6e474396,a1233df6,ed70766a,ab7aaaa9,9171a5e4,fa8df208)
+,S(5d4b74b4,9134f90e,673f5a57,959c7cef,c49dc725,85734428,226cc5ef,76428bb1,1b2a8910,f466ee15,abe6bf3f,100d8da0,cdc2f6bb,f19c3cfc,b1f07a0f,bed89425)
+,S(d50be2c0,c55244ce,5d93bafa,f62ee680,2d475441,7ab9c2b2,5702a309,57cad2d8,fe207e4c,6ee89ab4,c0185461,7eaa5de4,5a4dc0f2,bc4544e,f241cd5c,162f583)
+,S(bb0f61ce,8e0eb384,64e48915,5bf985aa,f93bbff1,416db2e9,a1da034e,1075bff1,13a715,2ddeb0df,30ea1032,cbcb08ef,4e6b0561,31474412,631f6fbf,b77b7d0e)
+,S(3ce6bddb,473f01b2,170e41fb,22fc5efa,63e22b9e,14d9bd22,88632bf8,4ddcb2f5,43086057,f4b3d298,426b7308,110dc52e,9a84268f,1bac1edf,8d47a25a,ace0922e)
+,S(ffdfb14a,ef1680bf,c90b5490,c7cdb75e,bbcbbff1,a56c3c85,bd37460b,b38f81aa,f3045def,2f1f19e,232880d0,e948b5a5,24f228c7,3bbcca54,7c216ee1,eaf4af0d)
+,S(1ac1f2e1,9ab4264d,8126eb60,a2330aee,c828d102,507ac0fe,d59fa4c0,8223172c,7636a4bc,339486af,b215e3a8,f80d8f02,d8fae063,81b4e7f5,133f1936,d8e18bf8)
+,S(52534c0a,740e89a,6142957a,a20f2339,b1a1a6b6,7e6c9a2,2d6661ec,adec228e,cf6fe6ba,fe41c899,c1ec2fa5,d884fafa,e1a31835,ae8022f1,365a97cf,3261b669)
+,S(40920285,7cd22c2c,78cdccd6,137d32b1,4f36f2c,964a278d,5b9f6462,651b09eb,40c94f73,a5fa3e3f,66dfef1b,f4f16091,f6b7738e,b8a865fb,3bde12c4,2d031d0d)
+,S(8b1d3c33,4b9ccdb2,14aac6e4,e840db16,25a5b3c2,4069d9e7,c81bc51,9b029289,114fd464,2acf9599,1fd65898,57822277,8020769f,145f86e5,630d6db5,5e23e853)
+,S(ae14de60,b7c7f13a,59c6bbd2,64162dc,8a6055e6,3d3460fd,7e473979,f4a242bd,8b960489,cdb5a333,a14463e2,376f2113,afccfee7,afa00ef1,6cac6a3e,4c65a412)
+,S(f37f1c40,99c95e6c,3e8d4e39,5dfddbaf,b8153948,137de420,788386e,2ed3e3d7,1f290080,82f6ad34,b2283d76,9cf76577,a564411,4f51af5,310c0a3,b3fb3606)
+,S(1fb07fae,9636889c,34441c1d,3c2496bc,a13f8933,666d05df,aa53ecb2,1b017a84,128189c9,3931576a,c4b68934,b7ff551b,58e6da46,fa97fcb7,b8df8c9c,637753c0)
+,S(44d1eb54,e112eced,480ea2b5,1ba22ba7,2afb0721,d0d6b715,52bd9728,4815f3cc,a6e13b28,574c526f,12673e02,ed7938fa,ea1855b7,d5b6e88e,3c3a9b2a,f2ed7043)
+,S(6980972e,5732b875,7fe311cf,f76f7bd0,ec94918a,759a7cbf,d8795645,a103238e,7b9fe832,4ffb9143,21776b24,a92fa09a,ac4a0fce,17c5bc26,2d2eb063,63d26a5e)
+,S(6a3a8c9d,405bb1e4,de59639c,4f6406a1,a8566a62,9d85b79b,f7030255,50efcfa3,3e8abae8,7b22d04a,8fdb408e,196b47a4,2e0f59eb,9d51924d,ce8de66,cac038ba)
+,S(ff3108d4,1598464a,bf5844c4,dbcfa027,bfb6804c,946c3683,1da390b6,4412ed0b,805565e3,3ee1d089,5c6abe85,77054648,11f5d4d0,219cb515,dc072d47,cbd0a317)
+,S(ee4f76a,2f8549ab,3e134e53,335dcb5b,49972750,180491bb,2139324e,95517d73,6bd90167,22402b11,68989e89,9c942767,8307367d,8a29075c,8fe81049,7071a838)
+,S(c21175cb,1ca958f,36a3b720,5cbaba0c,230c6305,8cd09966,ac78f51a,4c53e0a4,6a2183a6,7a7ca0af,256a0ecd,2c085d81,585a02eb,2ffe6a44,ea923688,cc72bf51)
+,S(2d5e4c08,a9a0b398,34e46e39,e7cab91b,953141c0,c5f2d292,c409cbf3,9a37d6fc,7569b9c5,31a331fa,9234f37,e9005ed0,4b512721,dc4ef054,d6164046,75c6e15e)
+,S(6302c041,bfbbeb09,cc012408,631765f1,5d573b67,6b799c26,ef7c2a4c,bb15dbc3,32a8f20f,67ce42a0,ac4ddfed,d0932e91,a1e51488,49e463f,915af082,7e491025)
+,S(3e61516c,198de08e,f7dc9cfb,89ef9b94,5b6c67cc,2deab08c,a3b36612,5934e2d,1effbbf7,4d5f7104,f7784944,70f62784,5692f3ed,48e4dbe,e956e063,37520d9)
+,S(a008bab2,d7d134d2,4ab35a37,8f330521,b8989219,108b05a7,d8aab0ae,e542fe30,77a377ec,903c06e5,463ec2fd,e9c05e43,f5454aea,82b99de6,be09fe31,51b475a1)
+,S(7782ff48,b928962a,950f42b8,2e43017,28711467,16f22f8,c389917e,a624005f,78f23e49,38a03e0c,ad1b766d,b9bafe30,8ad2c9cf,5b22bc18,c78c8898,fb608c15)
+,S(233b4a78,c26ab44f,d1019d64,8c896eea,f6ffbe71,8cfefc20,d20676f8,27ddcfc2,de508436,d976df90,487ddc1a,48284cdd,f553d342,2e0977b5,18f3ed9e,773b655c)
+,S(8014aa29,6eed493,d83d7aed,2d8c3342,3f7a4623,295f2a07,92c5de0c,71b8bb0e,dc58729d,f2a5bc9b,1170caba,4856a9e1,695f39af,81a1e444,f3e6dd55,f583d92)
+,S(8a01e90b,233dae71,1bb050ce,7bc61c8c,60882aea,ebead2c1,b284ab59,dbbbdfce,580ed75d,c9e3693e,92c06cc4,12c95a77,b34b72ef,20a51cf4,ca4ddbad,7691fdb0)
+,S(50a2349,24a29158,70e6372d,582ba07f,a569881a,96bd1a4,4cbb9232,1ae733b4,6943c220,a97701d4,a79d8e2f,a446fce3,aa21d00e,2f7cfcde,3edabcda,678cc751)
+,S(cbf49357,8c96744f,7ab07bd6,182640ee,b51b8f6d,a8a655ce,cbd2087a,eeaa6d83,4d1b36f4,5711db99,404bdb1c,9484a04d,29e79fa5,87d051d5,e75f07c4,ee8d4bf0)
+,S(737b3d75,e4edd296,8d164c2e,828b31d8,7c63d11f,fa4ebd89,ad59ba71,8a8efe38,ec7f7ba1,8aa8e515,4527002e,edc8327a,ff1ebf6d,d3877439,e7c822b5,35f31586)
+,S(29cb2864,251939ae,6c7f46d6,9d7b4416,8812e0c5,9aaa8b8b,b7e22ffc,ac38813a,c3ec280a,7c98b2c5,c96d77c8,b410ff1b,b5f1eb51,debd38f0,528bb73a,eca2e6e9)
+,S(1858aa59,24282fbd,e44dffa2,5197954f,f3668954,24741d35,2c9594fc,5e28fe9d,a0e891d6,b0a69fab,9fbd7879,a7e4ab4c,be50b1d4,4be76485,96fec281,d2d4bd46)
+,S(72ce7c58,1a420eaf,67bae314,d4f092e9,26c1378d,d346c4fc,2a9e9174,862eb75c,2329177a,5a9c3e0c,f6e236ae,30858bbb,8bec121f,f7462ff3,6284bde0,7425ae1c)
+,S(34c1ca5e,5dfab6d2,4abdcb83,9ddf9bc,a3f9dcbd,ecc315,17bd6f46,af112903,93f6fead,c931cc97,37c4aeb,6a589a08,80088a24,eb49a1a2,7aca807b,22a1f803)
+,S(7c5ac4a,80af5867,f803100c,cee3d676,8d348b47,9ce26243,284ba0dd,24392c36,a4468964,903be647,31fdb23d,1ea7ab84,a3201cfe,ab585b86,3370ea40,66fc5828)
+,S(be2ddd13,244c7728,1a98851c,8683ff7d,b57bf3d,a746cb35,e594b7ec,4c363caa,adb75939,af8a2cf,1cf3e5b9,2bc7ba65,8c45ea85,47959f25,7dfe4592,3e580fa2)
+,S(6dee1f6a,3b3befdc,a4a44471,d62dfd9f,7f7b222b,819979b7,901a1764,8ec13806,5d9e8501,4fa5f6ff,f8c0356c,eb013122,1a9a2431,f641ab6,af3b9999,5c2e5651)
+,S(15f264e6,8e2c8ed7,490355b3,a7b11512,c764386b,f6bafc31,80ee6fe7,9de68c19,90574d26,302bf408,ef9053fd,371cf29b,c41291ab,a76ab74e,ddf3f8c5,70326aba)
+,S(3d7cfbe9,4cc890c,ea592b78,5a984c8d,6d4c5e7b,183f3666,df9805e,be9c91a3,d55cddd4,4ea7065a,f8f51694,f6a84b54,42b30b48,e7630d12,6827dfe5,e7f62808)
+,S(54388bf9,d7951dc,7ab5dd3e,74971201,1ec637b0,7febee14,45b1dcd9,9c3a1e10,17b36788,25dc2a5f,9bc8738b,3f560d23,725f99c2,a9d6fdcf,6fbeff54,aae5a547)
+,S(3c229fdd,9a0080a5,948a0d2c,c9281794,425327c5,52063c94,be5f0197,6a088313,34975795,a84f83b4,af883d12,c373c505,192f0a71,fed21d8d,3a8dbb8d,2a926a1c)
+,S(b612bb6e,e14659a6,e1691f36,8fa8d7ad,1974e74e,36f1ab26,15705271,27c63210,5948c5d,d623cdf1,f9477733,dd5e8eaa,5240817,e8e08dc2,23b6072c,a4df5bb4)
+,S(ec56e585,54470dd4,28341ed3,e900e33b,ae381e42,2efb3d64,d2edefe0,7b05f613,ecd7f151,acf6e308,dfff2bd6,578bce76,86effe0c,d3b156d9,df8f66cf,295e9c45)
+,S(1bef3ca,85ff9f8f,bd80c8ba,f9b15b26,a565eeaf,e4d4f08f,25ee748f,fc11f80d,fe0260bb,96be497b,a194b892,71bc8989,125f0a0a,de88b135,272c5683,f92914f9)
+,S(1bdbac4a,522b68e2,a90e4265,3d2bf4ad,c4b27e5,a2ebb251,68a083e9,9107c20a,4d60e326,3ede7fa0,10467b9,d2e8b206,5b09e127,e3fba9e,3d228439,50d63ea1)
+,S(e9032f9a,567ab8da,551e0f8b,1b2c2c22,6e601b7f,e894b837,3bd9eaad,3662fc84,ac563e6,47d21af3,a0cb0a49,dafde0f1,21d60994,8dcb4000,64e3196d,74eb70e9)
+,S(7ce746ec,44af748,a5508044,f56e3467,a9608deb,c8a051a9,fda907c3,8f79c75,8f0879c1,3166bd23,be7bbb80,46f3c019,2c6b8fa0,52fad7d5,40640fd5,f2aa426a)
+,S(e0d52789,19de6d1c,a0929856,46cd3200,68862dcb,ef369fc9,6c6de4c,bb59eecd,98f4679d,b4ebdd90,a4f54791,29740bd5,f46680f1,d3ebfce8,8cda2946,ca886b20)
+,S(c6a245cd,cf1f4b58,4400a4d4,82f2088a,e28c8b85,641c1f18,a13aea,7e5ca397,d306dbb9,f8f2cb09,958ff944,ab5e6cd1,cb11eca8,33021bf3,605e6768,961ac628)
+,S(ff956c8d,9710f082,a1f34ace,c99987fe,4ade0919,4a0deb06,a1b286e7,3695c910,fabec52b,866afd46,1fe8c832,fd8a9375,a8086aec,b0e2e39f,b7823d0c,13bcc306)
+,S(549dda4a,d1a604c,d0f44fe4,5c4dc276,5cef1216,6f4accc7,3ff12152,26c23af0,71e3afc0,e05ba826,36eede7,1abb15e1,166fec97,562c4381,a33f765e,100631ef)
+,S(66d3df09,21573cc,e69896e8,2dd91f9d,6070dd12,edc21723,2077e644,9e776416,93981613,59a2ee3e,d9429dd3,eaf058bc,9ccf1c9,ea931ebc,25ff279d,5bb46d5d)
+,S(61bd3dbc,9426386,9c53ede5,a5c4f186,8a4d7a82,fae1be7,37b702f5,79e4f8d9,8c056a47,e27d4f49,2c9ddf54,efa48c,502aee81,e2336caa,c1b572b4,e082e780)
+,S(8a6d8b46,4a31daa9,2702f784,9148db1c,4ef20c76,fa67c006,47d6f3b9,80178f4e,d1f406ee,e4087601,96c82f9e,38205147,c31309a1,93bf4d8c,cfe67cba,ae8f7407)
+,S(e2b60e93,99eb8441,700aa90e,1edd981d,37893b42,5acf6b1b,809fd1e4,922e573e,68a0c65f,e394829a,8ae09dc0,ab35d789,bd8a38ad,800e9ed,63513eea,4e19f7af)
+,S(4c76030f,e85cfc92,64f16cad,99dfa541,fc23b8c7,2b558574,ac6f26cd,d4f55e85,44b352d8,9a31b4ec,c8f9a574,51855f7d,e98c63aa,98aec090,2d959be8,a12b7bb6)
+,S(dcba96a3,59103c35,aa2c9ef,538c13a0,2f0e8997,3663d580,fe454762,5fbaed2e,af9e205f,727698a,de9f91bd,75bfb73c,b13053d2,db2d83de,b4d14c22,176544b4)
+,S(fd0497d8,f75fff9a,cbfd3e03,6c9edc73,e682427f,e9b66a43,3b5b2b31,f2dc7883,d23014b6,9c8d1077,ab3fb2fc,c0bde4a9,44576289,896de135,9c0badf,fcd62d79)
+,S(5bb401bb,b38e413,43d1b779,54e83f9e,e705009a,eb8a1077,542cc6ed,edf48040,431fccb5,acec1391,f68ea628,378e3ca8,ca944573,ecfa5e,e7a82bf8,82599c14)
+,S(1fa96a4f,f9cc6ad8,b2741c38,b35c377e,3acac704,67bc5d20,a262db5b,48bb283b,c3448c92,ffc65afc,f1eaf7f1,f9e149eb,6404dcc7,1b222ac8,bfca8feb,eeb963eb)
+,S(9534aef,1ae551d2,7a638453,171d0a63,697ea420,2fec8f11,61432291,642f86ea,cd0c943c,38837dd0,33d48a4e,ca13e96f,46fd7f21,2cbff849,6432aac0,ef729591)
+,S(ea72afed,43300390,bc98d08f,3aa4ff4a,138440bf,1a8f8b7,b57032a0,d01b8ceb,e174dd8c,3692cc2,9ca856a4,4eae7e94,af4fb044,85172809,25ea66d2,d858663e)
+,S(39593534,3ca2523a,603801f2,abf3a1d3,16569862,35d79fa9,a01f86d4,5c122327,acd3e3e9,2cd76dc8,551cbf0e,94475125,42a5b887,ac6c975b,45d2e000,9953dd96)
+,S(d57b2a2a,375e5a0f,6967d4b5,3dfbb51b,4f74eff8,72742a3f,246e3e09,ec2d4721,12d6f848,4d107ec3,10ec2091,3482781d,c0aeeb94,71ae7b03,6a0d2551,d3ed306)
+,S(9f2dfc5,1b99eef6,e6c781a,fe0135d5,fc5def8f,d520119c,59bbaaf6,442f1082,8f20962,fd273048,fa3ca6e4,ea96fe0d,7ad1d758,99e25a77,e0f8b56e,5b20dd0d)
+,S(b1c30bc6,f030c913,49b36c1f,9c0deda1,afa58776,58c5a16a,9352c1bd,229884b,f8a459d1,6e77888d,cd5c63d1,8a2e28cb,5563e727,f53b59f1,939390c6,1eecdfc3)
+,S(8a663e7,40cad237,12dad6f9,1bb5d266,30542933,853e02eb,665e198d,a5c6e53b,e206b399,51175d15,daccf711,63b0918c,786a8fe,2077812,c0c1eee6,bb5c1e99)
+,S(2b0956cb,e0ca91ee,f44fac0a,76cc0b00,5f4a5ae8,27e63696,fe1aa8b4,a92941a1,a31e6fa8,dd454eaf,90ee1e11,62627e3,3f84b8fe,da29f423,ddf2a962,386cffd2)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 2048
+,S(e0144151,7a2ac970,eb6381df,7e11fb4c,6b009980,6a0d330,d5429126,e662c3bd,8238ce9b,a691c80c,21563934,18d18dbf,aeb3fd34,48863a1e,7f4ba360,408dfcee)
+,S(be3213e,8b062f33,caf16c53,5a0b666,f344e0d7,1e28aeba,8b215a3,7ec86c37,552523ba,eaca38a4,cd795683,852a2643,550fb83d,d1db0adc,3f1b29c9,7d51cd1f)
+,S(623393b6,bfbfbd64,fc7aa1db,9e58e274,1c18eb6d,b5eb30ab,c4fe167e,a9e8ff2b,7c0e4174,f0fd5bf2,a025e316,fa3b7b97,1339a197,b52b0b50,bad4dfe,34e42cd3)
+,S(dadeb702,dd0a1e87,669eb624,b8cf40bd,bffe79aa,8afab26f,bc6215b1,dcfe97a,930890ca,e4c29b41,2d660acb,8cd39bca,5a522599,a1ab0bb4,8fbc38df,17253490)
+,S(b528d3b7,83179b82,bb1c9cfe,c26184cd,ac98ad5,8e253c13,627fb778,c9362f33,63203af,1545122a,63940676,ba2d18a1,aa902e08,8bb444f0,47c2bd52,db8babab)
+,S(2ff223e0,93986e22,ae418a5c,804e9e81,7a4de562,d7436e0,2d025ab7,11734a6a,c5c8d188,ec9cda19,bda76d8a,97838ab7,81990475,d4a00096,5efa79c0,100f678)
+,S(cb8731d5,e1e53c9,ccfd2c39,3c8ab1cd,9ec839f6,99fc712f,f946e74b,99eb1742,cd2f9df8,38fec504,dd125248,92ce8a4,a9db3848,e487076d,8c18e53c,f6d19fb5)
+,S(1377ac45,d776a5cb,76ec265a,af272690,6dac52dd,be987799,36bb1271,e0cf4a2e,a4b3330d,d5954932,d5a7a818,7d9493e0,25ab2155,d4ed0d4,f34aca1e,c2a04670)
+,S(984b9bf2,f140c75f,e03489bd,88041faa,22fbac73,7ac10724,c511a253,641a5ccd,c474f639,9733eecb,a750ea82,ac4d50c7,d82f4c9a,942a2bb5,90b1431f,c8d14ff3)
+,S(4b8fd000,74f57cf9,b135d56a,c002bf99,d5050479,7298cc4d,857960d7,afbdcb06,7c044103,1df0f6f7,721937a4,c60cf76c,95560ee9,4c6d097e,3a8e37b3,34c703bf)
+,S(57316653,68412236,619250b2,58bd0ddb,34fc751b,8becc0b6,60585683,218b6079,d1d56e4f,30f01c57,48972898,b8afe142,16f8335b,e3a39c37,da64050a,91652904)
+,S(c9a00197,a0ff16f2,fbf2cb59,767d43f4,60737367,4f2bbbd2,53c7220f,db69f286,177c6783,d739117c,1de074b0,c605cabc,6b4dfeed,a531f4e4,9cc518,40142f0b)
+,S(e23416da,91df23a9,db161618,579b3008,c87b9ef5,7ee8bff6,45eec6ce,a61881cb,e556417f,84043691,e7ec82e0,e1718296,e42fbcf4,a3de0137,93772dd5,70b8da15)
+,S(9f96e3f2,369d753c,e6614c45,77bd8a9,14293eee,8a749c1e,3b0e2955,638e9ad8,f5cd1268,1567a4da,71650d10,e413e0eb,9b01a396,e529cff6,b494b2b9,a21ddff1)
+,S(48657ba4,b24b0123,cd54317d,de6a3245,ae488078,5ba43d5f,1d94fbf6,b9301fd2,191edec0,6eb53781,2813ca77,2a9021b0,dd4931a0,929a7e36,a4a8c66f,aef0d890)
+,S(67b322e9,d72e864d,8cb15511,11402d7a,c6c858c8,77832d4,e0187e69,6a36f24a,cfeb12c2,6b58bf15,3bf87058,c5faa833,e15c867,f7f9a208,c3dfdf3a,c7f6946a)
+,S(42e8068,542bdd98,fcce8925,52002db,c545ba13,16082d40,fbde06f0,a44ded15,1645a9b0,c1f33cf5,27364915,8c4f261d,a1ee814e,7aac6402,bf644451,bfc4aae5)
+,S(8ee7dce1,339c50dd,55619107,9bbac005,3e058cca,4a8c8e30,7588c105,fe90d4c7,ffbd0af4,8aae8279,2cda6170,5dbe9fe0,98e102ff,1e6f11d2,b4669a81,6ec9d5f9)
+,S(abc9504,12926a71,6adaaaf2,7b209216,37a935f0,cc66eece,55978a82,1fa368e6,72e54935,e9b461e7,9fb75c48,4dae4fd2,155a4a48,d3a467c9,624c5f6d,71f79203)
+,S(bd250320,81e0e9b5,3b00568d,40378fcc,fd72fd8d,783f2f3b,433ddd1b,a6976ba8,5adb8bdb,85855498,994ca879,717b8e7a,e8c4c87d,29d6a1ca,4c3c6395,6c3ceb39)
+,S(b4fb262,fbeee84e,49ae9167,7e7aa0d9,b31609e0,48888740,c018a5e1,8ae25f71,34df3f86,dc091d51,258ecbe4,1cf616e9,265d6d36,8ea3403b,24cdc7f8,e176e5fc)
+,S(d1ba9b67,66f24eaf,a145ad14,81063b5f,e4604817,21b361c4,95de8833,be605c01,e80a6cbd,17de2f1e,663ce7f2,8917e3a9,f871943c,a4b8ba75,68476a3,d9e8400a)
+,S(5c98b6b0,3a3e5a8d,2d46652d,5eb9e2ab,a80c6702,69dc5ba8,3732752e,922639b3,81e2f9a,145d0cdd,2c51bd13,f907a04,6a35efb6,635292e0,6b8f6513,c50f4a54)
+,S(c1fa4688,f75fb86f,61cb7071,4fb25f2e,908abf0e,a87aa84,c8db5dd,4c2618f8,f2f74a77,6d4bf26d,17f55d0b,1aa913cb,9db869e5,ab861d9b,2043ccb9,ca8397ea)
+,S(5e806e9,a644eb32,51c62ba2,f09a755b,96aec78b,4405df76,dc22ba6c,f7227ec1,b88c8118,d6a1829d,6aecaa05,742313a,b871d2eb,72f31bba,9d84f87f,a73e614b)
+,S(f9d147fe,fd2c1a7b,f623d965,bc7901bd,968636d,eff54c14,34c6326e,d1c8de9a,c7887249,ab6686c7,93a7d77b,41173060,40de44cb,84980c33,cd548d72,d29caffd)
+,S(b98cc956,85f6d11f,a8d38a1f,50799634,9f7020ae,3171023b,abea0fec,a70ccdb1,f074d495,3689e8a3,6ee4cc0d,40882355,3dcbdf21,70975f49,5712adbc,990ecf7f)
+,S(f161cad4,100817e7,ef9091dc,714bcba6,18458493,f3bb6b03,4648a649,6817b474,b7eeb92e,396af324,22881eb2,45e62515,c4410af9,fa519ffd,61289f6d,9b740904)
+,S(7c8b6c89,2ea4061e,456abac2,46edc08b,fb54aff6,8a2678fb,1b7b1c08,5326914c,f08e1f02,6ea1d2c2,9ff5eacd,2b34682,2960723d,cdab95b1,d69c8af,5e7692f8)
+,S(4668c29f,16334658,195b93cc,ef71a076,3ab2078f,724dde5d,d3635eed,24f28729,5db228c9,8391ec52,324c723,39d99514,8fd22f7c,2f61cfa1,29ee7400,4c74ea4f)
+,S(3443d0f3,9dd6da5c,19a39f8c,f3672652,96fa6729,c9290b2f,4e21c7e5,3167b65e,4b6db639,9a088ddc,8ed31f63,7c079451,14a4320b,b7ed94b9,2a87c0e8,97429234)
+,S(d3ce3501,17a04e95,58281e69,3574c096,458dbca9,afac20e8,ffec7810,8bc227b4,bcfc77b9,628f6ee9,3541e47f,8d556ad0,7696ee6e,90ce384a,9b77fcab,6eb9908)
+,S(c4dc6363,ad772452,221f8640,9de0ac28,f2bc1ac3,cd2d7080,23301560,f95127af,78c9ba8f,d789a666,439bc949,38345250,38a79c5,97f6a71b,3e096b8b,752d3038)
+,S(c771f94,221a47ec,fcd78d7a,123d2e0e,1bf4edcc,bbcdd075,b23d29da,6d5ac666,4dee3b30,829f5aae,f4471924,65de293f,f2ec526f,5b8f5980,d9155f71,ce8d6091)
+,S(bff88ce8,96338f7f,5b6516e6,448a1f25,36a1e9bf,275afd50,e772517d,79e6e199,8f3f0c7a,b62010a4,eb0b6211,7e9761d9,c1552629,bb55bf68,53274158,a788c206)
+,S(4afcd064,5d57bf24,e850e7e3,d3cac224,6a467e76,f2ce02da,576a1f2a,9a3b97a,52f23b54,87b2af93,6cc692f6,1876d6c0,ef927d3b,c06df93,984ae54e,4d10f0a2)
+,S(c4bc122c,b9bf0e20,57f933fd,94db012f,79e23c34,98007abd,f8a8ba21,32b1f373,e40c47b6,a31d81ba,dc45d427,3ab56d77,1daf76bd,7bdf8ce1,a8778861,66fbfc6d)
+,S(487a19b1,d1be7791,ce223d27,bab11aca,837a0f8a,7d34d9dd,b4c68f18,51f821a8,a53cd743,16ff4e9a,8633554,45415e35,5552403,7b25ce67,f519e44a,a5d0ef98)
+,S(274a3cec,be06c748,7603516,588ccffd,f4ac3d80,a85887f8,10632cb8,4301a326,17a24be3,afbe8b45,9a72cab,5385cb6f,5d06b47a,63bf19b3,ff4989c4,85a9f40d)
+,S(32b31f77,b0cb99ac,3bfc34e,7558f9d3,e82fcc6a,be2c4,8a079106,33afa9e8,447b44c,c191da90,e0eb3f71,db804472,17f422d5,b1732a8,993da80a,5d8f5bc2)
+,S(78c39dcf,55561468,dc339d46,ffd09337,945285e1,66dfc29,25d8b85a,24a2752,d691ddbb,4e41ca85,eebdf63d,5c023e62,a6680931,5e1109ce,89088467,7ba3ac55)
+,S(5fc75911,a4920777,c4502116,deefc1a8,d2f21f96,2b1e725f,a04d6fb3,9d34e5ff,59f36f7f,18f5885c,dff524d9,6a139749,f3fe1662,4b728d50,7a460bb3,497512f2)
+,S(ca1590e9,152b2b49,a6d0fc16,4e346e19,fa62dde6,f693b64a,e38289d3,ad08fa8a,46a7bb3c,1174ed75,49e9eae1,7126455d,535ea744,936947f5,24a8ff30,8046dc8c)
+,S(5c715266,5ff0bdeb,a7f6e660,bf66d5ad,743d94bc,5ba9b7f1,f3d50cdd,9d11fa1f,7da23b15,56e995c3,a21ee9dd,ccccca4e,e41684a4,f208c39,b31ffe9c,4473a03e)
+,S(c7f71da3,6361c73a,55dc3877,4f2e1033,fa0c09ce,1c9557c8,c29d8684,e4177e82,8d6e47f,b5c2cecb,6b22dbf9,a04f0f95,77c6f50c,3429df92,78edb85,59b0dedf)
+,S(6e91bd9f,5264a13e,37925900,433b7536,4130b4cc,e6fa716d,a0101c2b,dc58afab,5baa7455,506b5849,5d820c20,f209aa01,ee0f9434,1df5b449,9ed23a51,b4fd604f)
+,S(1f00de8e,69ac7cbf,c75c789d,f3322813,244907a0,35059072,68954196,baef0d33,2892ce90,f32330ed,2800c30b,4482b67a,e65fec8,41ba6fea,b2e83703,dae040f4)
+,S(c00133f5,7d8c469,421efa3a,d71d8d58,1a2f5b0b,2324de10,91d79145,7d300638,3c76b182,d3ee982,dd05ea45,59e8e31b,1aa3dc12,fdcb67a2,f86434ed,34f18895)
+,S(af639e7,95e8269e,12cef756,4bbf970,cdb172e0,66cde48d,2f8e9083,c60cad49,1bd01179,ce92cd29,e414a74,cd1de487,c479daf,5673b219,8082c474,2426abb4)
+,S(e6dbd27d,5447c044,18fa0a5d,8ebcb9a0,ede58538,8b73ccd5,4e979797,31f4c9a1,77f38524,f2848320,3d4c780a,d0cf8bd,a2071037,348db8ee,6b5deabe,3d242153)
+,S(f51a8d23,c95b70aa,d02dd904,ec1119ea,8d1e3e1e,e405646e,4c2dfd53,336360a9,426b2c9a,1d703cf6,c748871,4959acda,ae5c6aab,51945138,73e4b1a9,c0f46c57)
+,S(e12f11e7,fe437b7,f578d8fc,33ae3a60,a3e4d1ac,1ee45863,42944d50,a0f6bcf4,22d15d58,35fa89ab,563985b1,4114c957,8bfec8d6,6dc7d253,e3c6d900,4419f5d2)
+,S(e758860a,8ec762d0,62f51e56,d958a14f,ac619351,9d890bb9,bf6bc7ed,e988e14c,42d9e0ef,10b84f21,fb88d780,dcb4750f,10438682,3b003b23,ec41c297,567ecd78)
+,S(3c933fe9,ba21e5c,d822b90c,78a54b7a,d4799882,ef91f2c6,e423a398,20a64163,c1eaa0be,531922e2,ca5b23a5,6700b4ad,7fc16135,11f67f96,b672ddf3,669080df)
+,S(4757576a,83c9066c,b6eb6b08,e91a79c0,df828e4e,3c09ce07,939134fd,ea857872,13f22fb2,62d77f15,de3e8388,d9270c45,818248e8,9d950d7b,58ee6c6,c38277a)
+,S(35e63903,70085140,b19df903,9a7fff42,46570fcd,8661caa8,129d6b4,31045c7,2855f4bc,aa9d60d8,6a44f022,b3c28e84,53cfb3ad,a58691f1,b0e9cae5,e5b9e8c9)
+,S(ad446e01,1f118207,3565f031,6d0a85f6,ad5330dc,6a8be4fe,82be632e,32126fa3,240382f1,decee3f5,1f92b2f8,1ac0eab2,1d8acb54,2f730d43,15c194f6,28e83e39)
+,S(fbe9e5f3,eb01ac37,820af752,9c4221a6,89164ef5,d77461af,f82d6400,6a718815,f2f30cad,d85a2e0c,e393e088,44de9215,ba207384,2abf8468,47801ff6,12d088e6)
+,S(1e675320,d81ff430,a0549aa2,482cc9b8,b9b585f6,32d32916,6e952f13,3b038135,ca0f1276,c9c7d995,c5baa5de,2988700c,2e2c7f1b,366d1db1,b44b4c9a,f0686aa7)
+,S(176dc770,23b0e52b,a2eb8068,ad27924b,94c3f643,30e0e85f,3593917c,d6267718,d2dc6288,5df75b06,f450686f,df660950,548d4f6,85d1a701,d510f3fe,297ca8d9)
+,S(3c8536c2,32a02b3a,b36feadb,ccc7c541,7ac83942,3cfc8dd,99a0ab7b,41a9c938,a684eea5,249cd12a,d24dd8f1,73022ad1,8ebc7f52,d6a3bd9d,bdc4f5ad,a25186b5)
+,S(48aa73ab,c61a76b6,e54c446f,ba881198,ec6ea003,d63c54a5,605a322d,7af006fd,c28c5eee,ffb20882,2d018506,5cf3ddf3,5977fab7,40e4d4e,cdbf9935,8e403a64)
+,S(74732762,abd028d,9dad2b36,38baca49,263d170d,ca7e4cb,d83a3a1b,53cc1ff1,ca11df0c,e8dfa09f,3f2ef7ce,5c023b6c,927a88fe,60ba9f3f,ddfbd69d,e536c2c6)
+,S(eb71ab09,520e5915,767dc918,814fe901,a4042725,5247c02e,b8672c5b,95698522,5fad7ae0,a7e95b38,ed6563cb,2023b2a9,c81b6901,c007f1eb,8749f56e,4d48e995)
+,S(2b101bf6,c7763df5,72eda74b,eb179cc6,af5e8695,965761ce,f8444371,7ef5be6b,dd16c8,4e1d1a3d,98d4629f,ef258421,f6664719,7f89a597,67fe862,3f140ce9)
+,S(a099efa8,2c666552,5332b050,75e81ba2,13976afe,8f3b33eb,ca2a4436,6e0ab337,f883957b,5cf1f2b3,ddd6c7fa,a126acca,fb1e33b5,e5b753ab,dc0a99bd,5d136c07)
+,S(f4396856,a61c3ce9,5b72ab6d,470bdeb1,8cc107cd,2f58f15,3d5bc99f,8b62f95d,6e3ead1a,a8edb0b0,67240ca,f3274e63,df81c2f3,e1ef2567,cfd76c01,6e9f6133)
+,S(da732197,26aabb18,4a0aabe5,a493d803,53215b7c,49458008,bd5e387f,694050c0,e2075f29,17724b68,6bcb987d,85e954e1,9489af4c,e7ce1b46,66d84604,e9a0eeb6)
+,S(99171a1e,19596183,f4259c09,b9740201,8fea44d1,4d0f2f45,75f4d66f,980a6792,522b840c,83e1eef3,e7f2cbd8,e07bec0,66af1bd2,e7607f5f,27a767b1,75219a4f)
+,S(353cc684,8a2c4f36,2408997a,944889c0,1db7bcf6,9133323f,8f0d34ca,758cf08f,1865bc62,f4ba0156,7e2b283f,702834c8,97effd14,6e0e5fa2,43d5124d,ce67ebe7)
+,S(8b16983b,5053d3d3,8e67c77f,1b6fccc1,b9ed7e3d,d57a26d5,deb242dd,7a312852,49d93f92,fa5953d3,956adeed,cff49ac8,caeb3d2,c72a0e9f,be6c85e5,d85d47c6)
+,S(68f5dea4,b1da327c,227b2513,83fb622,efb36730,3bac02ef,505e0464,750cabc9,26740f9c,5d624b9d,aed25774,46c9c742,146de045,71cb750c,4356898f,e3d31782)
+,S(faf5207f,c3acf00c,8e19d8bd,7208a6d7,cc936706,98559244,e74bb202,20c699b,fab7b446,17a6c6e5,4ac186ac,971de8e7,d42c1527,8607eeb,b8564a0b,cef1936c)
+,S(c3d1aa91,b541c5bd,3da04707,a2f01a16,917c0420,a26604a2,bcaf5081,e8d17630,5b57806e,5a58c405,f06d7ce5,4e5f7b45,c9b631a3,44c92c64,d8cd1435,fcd9ce27)
+,S(23278a35,4970b920,450db526,391b30f2,54b5bd5a,fe2c1455,623c99fa,8ac8db1a,864d81da,e8df9e47,1ac93b74,660542df,3570486b,fbd2144d,55dee441,90e1888b)
+,S(602f6181,33cbca4d,74de4ab,29dcd101,7c12c32b,ecaed25,485765c5,478c0146,4c42cfb7,279ec350,f77d2da1,599b9c85,9ffab342,ce6a011f,91c9e460,27aa968)
+,S(1dc4cfc7,126c3b2,5d82aa46,3dcc8cff,c545a9ab,c7962690,fd4ecaad,25843ee9,a9357982,5c535575,35820f17,25e32afb,6002b1b9,2a9b43ac,18225e61,b3fedeb1)
+,S(3694f121,6e02bc79,14cd9910,8ca65fc5,887a95df,8b04e8b3,3c6c23cf,ce35af82,7ffee291,b1c41976,d456e742,88458b9e,c61e57c9,9b8386d1,d1c36424,38555d88)
+,S(743ada75,a9596420,7b8725e0,af06c2c4,457be03b,a920c3b4,b65922b2,1df1bdbf,8f2b81b5,5ac4c5d8,9cc23ed,92dc1b43,5629b9f9,39b126c0,b16d7175,b40f908f)
+,S(bfe9397,7c7cc4a7,b9cc42d7,f044607c,f047cf2e,26d6f94f,210af7d6,b2420085,625d6059,8f80dc83,1ef2b51,dee53d5,666c3dfe,a02e1d92,1260906f,ae373d64)
+,S(86c02c0e,6ee646c8,c2944751,7867a1ad,cb56ebff,c8795f83,73e6d8b9,1b240eb9,659b5e9f,da4b1098,b76af529,f56f809,59d39f48,916477b4,bfa66af,c85be4ed)
+,S(3b281045,857f01e9,995d357d,3a84dc66,6c4f8f47,4b82ace5,dc3a9229,387bfda4,9948272c,cdeb1542,47c7c42f,1f313dad,e318a123,3f500f8a,16d80e7f,d2e9fd4c)
+,S(cddccdd3,b54d979f,504d33d,46d6ff2a,9859038e,33087a3,da9a5284,fefc47c0,9f2a13f8,369313c1,44d91e5e,807ddd65,196c991,a7eb0321,2133aeb4,56683b8)
+,S(98100502,a6023ddb,ee34462b,d0232711,8f8c2e9f,33708088,40352c34,870e16d7,1a8bfef4,69af3b3b,1e381c08,454a84ec,4cf8fb66,bd721a57,47a94e90,1969b9cb)
+,S(8b76757d,b2fc179b,9016847,9b82124b,c26092f9,b35de316,c90223e5,99978179,47eaf326,588e65ca,541a71a6,a1167321,ee449268,1e8b4960,6eaf9a73,42b16f05)
+,S(e66ed7dc,897fb660,6f44d8a9,46b0c61c,45c83bb2,d55ea771,bf2571d6,7ecc3b43,e536f79b,8a9fff4e,c6cffd47,8a405bd,7f1745f9,9374d810,518cc5a9,f214dcbe)
+,S(e0600592,cc9c0b9f,8cead065,6ef5c115,ead63209,6a0a0d2,2626aa13,f2bc88c8,628d94b7,8b84705d,16e55254,4c138416,e7f75f5d,d549ff7c,a42d51cb,7f5a584f)
+,S(1b0af242,a9cf25d4,cc758fc7,63e2f07,62db2e42,6b392cfb,ffc5ac07,19152767,33ae8aa5,eec30559,a3d28da0,d9354048,592dec4b,2f975a0,ed043fc3,c856a2be)
+,S(e204ffaa,142f7eda,3505beee,db0bcbf0,9b80924d,ce5bced5,439aa4d6,af5acb7d,a2804d9b,98e11519,adeacdd1,aef2c22b,a02f7030,479a559e,6924db49,5d8911ba)
+,S(afc40e67,651531f6,214ea1fc,13173d4c,a35431f4,92845964,69cf099a,d515ed5,57ef6ef4,1e480de9,32ae8596,3b04d267,5e629707,cd3bdb45,5896d333,b648e0)
+,S(59538bdb,747b641f,800588b0,45c0e3c9,72963406,5ca601d4,690dee22,abe8d226,a030486a,3c919c35,4c26547a,3de96087,52ca7a28,5d378e28,652031dc,ec2d4438)
+,S(6a91d34f,c38d4028,c63a4bae,bedb2a76,b964cf44,1804a6f1,efbe469a,a997ed8f,32500c83,6a0b5274,2d2ead10,dd3e73eb,45f221d1,ca6cea00,f2b01d75,d9073260)
+,S(9260e687,b11d97ee,97dc44ab,5e21c344,332ae39d,c85c2ee8,f7760cc2,8ac28d61,f47df3d,e8d8654e,f7124f5e,2dcd9d95,c1d13e83,a33e5d18,92ce9851,6223e778)
+,S(3490e733,7a66f301,f678561f,4b4f293c,b48820c3,dcf9be06,a0390410,4cfe3cba,49591a79,7edb70ac,74f87636,85bbb22a,a8169536,532886f1,f5ea0721,5e9bbd6c)
+,S(9729f4fe,1f47a9a3,7dcb1311,ea9548a1,d71d7a81,27803c8a,6ec0a680,8d07b4a0,56e1a5d4,ccc4fd72,8e7ee569,e22efea5,c8f03d73,fe8ab86c,2dcb8af2,eb17f896)
+,S(af63904f,6da423d,1cfd77a6,680044f0,5e694eb5,80ccb4b1,c37d8d83,ae9c2caf,6decdc2f,5fe2b948,d15fa10b,4a7e2edd,b8cfaf0f,7c79a400,f3d1b306,dbe110b2)
+,S(96271f72,1f4a1f21,a2274edf,87c294fd,403cf0e0,c7b7b1f2,f242fb7a,2c435a3f,66ffbc73,1fc8cfd5,2bfbbca4,49f6e949,71940077,ae411e79,51cf5b21,ca5adddf)
+,S(a42ef215,1f0cc5a0,15827287,eba8d960,dfa5a13c,7ee2696a,95bd94ca,4b717c7d,5e491ed4,5f08a591,32296929,814608ee,e3243172,b523a1b,a4995f6b,50046fec)
+,S(193b3ded,e770a757,d859c289,68be2780,fc4ce92b,135bec2f,7fb2c07b,b862e5e4,192c4bba,ffbb735e,a1d5cd1,38de0556,d1d1d740,980c5775,22d19b5e,f0716700)
+,S(ccf9a075,da6f44e4,cf3b4fc8,26feef3e,54084b0,e2756029,e290a7ce,8c1e8dc7,d04f844d,ccf2c30b,9020f0a2,308219c6,a5d6491,ffe9ba67,bf6b20c9,9a35a183)
+,S(7ebea25b,1d69bb43,f60ec69e,f9853208,d3ddffb9,6dce3831,873e7ace,d25b0140,24540af2,bf87d637,54f1a47d,13a3f38,2a948375,8955dd16,fc83e7ca,4fec3d65)
+,S(c9eb4a,c2a31b01,9b7ff038,38478b6,674662eb,d729ae45,d7111c63,84a038c7,7e2ee03d,caed3f4e,bef2b90d,78ae42a3,12f6e8b3,29d116a6,e26bdded,81f32240)
+,S(45756e0c,8c84e9e,a7b23bc5,cfd87b4a,cd0b290d,86c547b8,7fed946f,e5acd867,9c3f522c,e577c017,3db984c3,d7dc16d0,31326e2c,85b08413,4611da0a,70acdd1f)
+,S(1bd58481,21bed636,c789e341,665e2477,59438de7,10aba25c,e4a0db7f,13e3c0da,cb0eb897,bf905399,63a8a7b7,50787430,ffd4d6d7,9589c8e7,350f4351,4786a90b)
+,S(f199562c,8e809ba5,84aa80a9,759dd98c,32eda7e0,ccfa4063,547ced9,d9324dc1,33519ead,76430498,949dbcea,33ca14de,2f7ea811,cdd38f32,4009ac7a,b408d1d0)
+,S(7fb4e910,e9e37dc1,f56ac3b9,30589522,975319e9,84dcb559,6743d3d4,f45ea6f3,b74a03c,cdbec9c,f36b59bc,fe3203dc,5f4d94a7,bd54c628,55f0d04e,67c960ee)
+,S(503d08fd,19839d78,aca27020,54dc4233,c1a1d68a,6b9cf136,4c6fa9fe,886c03e6,84ad95db,9a09eb87,bd905914,473d23de,698459d5,7c436f77,58937bd1,8e448e0a)
+,S(335c9204,e6aed3e2,586d0dea,c87158a5,62db42c8,e42fac25,9196083,51e1e713,15b359bb,10f8bee2,940849d4,212fdd84,49b60c5d,d3419ce6,7ef9f0ac,f4c1c2f9)
+,S(ba68e5cb,e0f7159f,821117df,5720bb50,f218c298,9ce3f5ef,30c44134,2834bc9f,2ac25bdd,ff34e4e,ff45a2ed,e412a287,101ff447,71c657f3,ca57bc94,40fa5d72)
+,S(93d6e713,311d8430,58c20267,739c494b,446d7943,a1e47a0a,2a5ec20,877e6baa,5997c19c,99a2fd26,e0471041,b509f9d,e10bf615,7cd4f24f,db56a65d,201a0856)
+,S(7a94bc1b,5cc77a0a,73a84fbe,c5d1b68,cb8f4626,8ecc0c22,ac7500a4,5f397172,128c1c6e,82a4d52a,719c9f8c,1bedf4d3,32d3695,16decef,34af6b4d,578bee5)
+,S(f031eda7,c19383d9,45eec848,f6f3e467,75fbe52d,bacadc54,c213c596,c821b809,b4a78d0d,1c17e4f5,db81e2e7,ee52f195,eb505d36,af96bea0,5170c776,23cabab8)
+,S(86ef1acd,5c17e082,dd4cb924,c74d0195,ce9f375,60ca7608,57ab7d70,2039907c,6936a13d,b9078ac9,426d34b1,6d5673d,36c3105c,9cc77de1,ef7e0ec2,4cf3bb3c)
+,S(fceb6cc9,c78e3a35,49b9beeb,62a14fb8,6d24eec9,2ab10bc9,40916b60,cbc6d720,7c2e6024,5f561f1c,e0b69701,512ca518,9f8d9292,ea75562f,8b17873,77f7583d)
+,S(a1d9ed1b,9a36f348,1f426d83,7afe4380,d475e36e,3b140f3e,cd2213ee,dfa5c8d9,3683c97c,a1273f29,ec02cb77,9e9fee54,78bd5e3b,e6aa8c60,7d5bf07,dfa558a0)
+,S(d98de999,6311ed55,e15bbdc7,58affca1,3e8f629a,77eb3dac,844f90e0,51bd48c7,8af6194d,272a8ee7,68d1b810,778e5c2,69394353,969d77cc,7d449f2,84ef2a22)
+,S(78328db7,cd6afa29,b6f1ba80,d65f8050,60f4d223,9897a3ed,bee8ba3f,a99aac60,e37e496f,1d143ac4,8123377f,4e136442,629f8185,c4996f01,f35c7a9e,76fc5efb)
+,S(3d701493,31faf0b,37c1e1c0,9b29ee6c,5d9747cf,cdb26117,223d1f66,e336db5e,d1e99140,8311b20a,b41f7ce0,ab4e9dd3,414ea3c5,b87f88b6,648cd1d3,e77600ad)
+,S(f619acc0,47e0d4ab,bd5ba2a,7a54ecc4,e223986,fdbf7a96,e90f762a,ce288628,f24eb63d,e1545d10,fc96a2d7,e7fc1ee,f9cdccdf,cefb5de6,8fa4eca6,781564f2)
+,S(cca809b8,71f85a00,3344a851,4f797fce,91718f35,9e2fb489,a1dbc00c,aad0a2d2,b7d72ab8,35658359,2258f260,a1f62f97,aba642ed,382992f7,12b11c11,6890b037)
+,S(bbd19766,ee2c501d,afb4eec0,30fba145,aa26c45b,51c1beea,a7d3ed1c,7dc81958,bc709dff,70b3612e,7cf0a6e8,9724442f,6c1ca4ce,c32efcfe,b98f1acf,df5250fa)
+,S(6a6fdca0,e4a58197,267a1938,1644aa5d,ca8f0ee8,3a68a5f7,9c34d4af,ec1cfadd,c28b1236,76585255,cc104298,d7ebcc70,6bd7ff6f,cadb0c36,db6517e9,d2732081)
+,S(922e3e1,fd401a22,ee7d693d,e52f0ade,9564af2b,17a4be0,2c553216,df5c8006,a7b10065,aae84a40,b9b79e0c,5ca8a227,696841c7,20b944aa,3b9eb1c4,1488f757)
+,S(53ffae4e,3526b553,f92bd9da,e3cbd3b3,aff8a6da,d4895490,38382f98,a676eac8,81fdfcae,b51f80b8,3d23b222,8ce860ec,9e665292,c456fd23,cfde43ed,99f8c6f4)
+,S(14a0ddd1,c94596f8,9d3e7028,929cfe4a,7c2e70c6,b55d15b9,77227862,a03d119,2b5dc071,febe1d1d,df7e1483,53dc6558,7e8c94ef,b598ee83,806f1fbe,976dd086)
+,S(7368240d,fb74f35b,b51a2542,8caf3b90,bebe272a,739eff4d,c0150f1e,3d68c8f9,95392b17,b4c5e82e,774c7168,7c46469f,21801a72,b15cbcd8,fd2ba85e,e4a7a27f)
+,S(4c0a8053,b9eab39d,2396825e,2416885f,5fbdb610,7bc5879e,6400d010,20580560,85a222a7,5b7de532,617f67f6,5408b79e,f5a6f826,6083c2f0,93ca97bb,d7db5427)
+,S(ca0d66a8,24a6f8ac,bd9447a4,933dfcb2,6751a26a,f5790a1e,91e32053,3ddabbf8,61cc898d,4f8b0845,11dfd49b,1ef01e43,6f7d7d08,a5f16b2,1550f329,79395d18)
+,S(646a0775,e62f6a36,d520763b,5c7fb081,a3d7dff7,355cba76,45358a6e,55e9d6d4,3e528844,e7380a64,20db2366,22c936f9,b1100046,e17c66f7,a6b1a01f,7b7dbbb4)
+,S(435565ec,f3d6bc13,142d7c47,7052da71,bac77f3e,a81107f2,30303003,6455d070,4ed52896,89fd8d96,343ca8f6,c9f0c70f,ab6edc5c,1ae96d15,9fa9eb4d,a4c9f6bd)
+,S(d8b01896,9328544a,a51f22fe,e605c693,7a014aac,37316f,ff6a760b,93aa8f9d,63f51e42,a2b879ad,36d60719,c1497b5d,dd412782,e4c620ac,989f7259,3a06edf3)
+,S(b9475950,4a9b3052,94af6f2b,6f182e5e,83a30abb,47f0799a,21ee5446,d63d48d7,cbc74028,37a899bf,79b89676,9e358ad6,9680277c,34ae1018,4290689,c2fb876)
+,S(14317c49,2972d5be,c5a01b5e,34842135,d521b467,1b262f0f,c3e6a271,ff8e0ef0,cc4d2235,d1cecfd2,2e6a476a,7db483d9,d318e79e,4c3486cf,c2090651,c2069381)
+,S(8bbdb357,5b6867f4,4f062ab3,38928d52,78c4b873,4e95c5f8,fcddd4e4,9d44f8c6,d38d3387,32424054,c05a67e6,c7d00e62,1279eca2,ee1b59fa,90b97f33,5173a778)
+,S(7775fef6,36ecbe78,9279786,b996c0d7,380b00f9,4ed31476,1ab0b190,f06aa685,53152a73,162dd659,dce57d7f,cb885c44,34243153,2b8318e1,2a996ebf,2f55407b)
+,S(db5e4bd1,39ebe377,bca64950,29e72fb4,bc9b0ea5,5450e42b,a7491c0c,39693b48,a6468113,a5a796ad,a337ceb3,238827dc,416ca20e,bdbe4e62,14194e66,cc5a0abb)
+,S(eab057b0,578c52e2,eac11be3,9f069cf1,6ebf0631,709560fc,2414ff11,f1c619eb,5422023f,cf69b8a8,458e5c6c,3c2de1e8,6fb041ce,180c5f75,cddb455,fd023f67)
+,S(e955fcd3,c657d611,7e2d43cc,651333e,c231ba32,418e6fe6,d021183f,e7f5e44c,dd0eaa98,65212f27,2454953a,4c46c5da,973095fc,b2e36369,cfe228f4,828e6b57)
+,S(5f5a3c57,58eafc30,c311f596,f1d6605f,ec0f5e73,eafb27a7,2a07f91b,42d8e49,3cde0b0,1d1fb2ea,9d85a04a,aa4536f5,c6d9f55e,84ca890c,cf23ef2a,5dcdf1a2)
+,S(fb7a31e4,ff0ade1e,efffbd7a,e04af118,49c82cf2,6ad219c0,7572d924,8b99bab,ea87aa0c,431de57e,ee86bc4e,be463dd7,9e69102c,736345a,5502b07f,31df2a01)
+,S(d57b1d6a,a3e87779,4b9f8dd9,683ee3a3,6ec18d3d,e6b22b44,e411778d,4bae1ffb,256ffed6,b85bd2f0,9dadb0e,43ccbaec,9fcb9e57,22d88ca,73f8d7ab,dc0f62ee)
+,S(9326fc52,d3a24a38,ef0fc90e,183697b3,f726832,c70bcb5b,bd6ac548,cbb8f1a6,863bd0a0,cc0a2bea,d21176f5,c99fafa8,d7d766c2,54d57308,1a58a6f,12889a2b)
+,S(58362cd5,abc9b5e6,57617e94,620ad087,d5d310d5,313ef6da,36079b4b,a93caff4,5f2a404,4e86bbd8,d73b673b,2e432233,d6923cf3,c262e1c0,3da48d42,f62fc52f)
+,S(7dd488b9,cd06e68f,e01b3a9,6b318d61,b8c4cd69,7e9a3681,34fce81,841738ee,fd7aa5ed,130c897,cb770846,a3d292a0,d963ded0,5266010f,34a99ebe,99782cf)
+,S(9bf78b02,524c1554,3330d7d5,a3b41705,1fa2a324,6ba8061d,f9550640,cfe798d,59f537d6,6d2e6801,d79d5a70,3b4219c8,c7d06385,76964f48,10427548,90cf5a83)
+,S(4c816973,743ad5cb,18db4f87,9bbd6d1c,e71513b6,eeebfc39,3663dc36,eb3fc47,1a6dc6ac,37a49400,a933ef09,f00f9650,44c6f8eb,d516c254,ab142d89,d41105f)
+,S(60636bc2,c7486343,59296408,40f3a26c,173f4e5a,7f0031a8,35c1c56f,b1051be8,71a78b7a,3aed2bc9,70a4190b,d1be56e,efc2e6b,7cf81b08,541dd8f5,dbe88e8b)
+,S(a6e772de,c3e90a70,6c663fc9,4d5e6cd3,12211537,40ca4a2f,47a0f3,7f8d00a,25b8fe1f,5c727181,4a6175a8,10aa1eb8,f1090221,d78c32ca,76ba7c73,d0eed520)
+,S(79c6653c,60307215,fabb4b2a,aa8bfbaf,1692f613,166326c9,19324e5,7cb89262,36d5ed12,b6b49496,e2b79da4,c0955cbf,c24eaa3c,204e28f8,db1e7ed2,d2197bcb)
+,S(3f556b2e,4530fade,d4774af4,ce4454c3,4a2bdb4e,aabda42e,d4ba8546,d646cb15,bab1d321,1ce84331,3be8996b,f5c5c4e2,c9fd04d8,397cf9e0,58829389,ecfd25c3)
+,S(eda59a23,8d21fe9f,5e11e0fb,cf731fe2,d645c52a,f3861dd9,3b7273b7,3fb3913a,22f22f01,4ba320b8,2cc29c06,d75b7eb7,d3cea857,40cb2562,4161b9a8,712bbfee)
+,S(7a1ea77,323dfb4f,36958adf,71d4f03,3a2bea2b,a9f62cb0,c42a4279,7de68548,4866ce25,ee7a2b5d,a276f976,6261318c,6d2d7f51,f6f41940,f6cc3f20,264825a0)
+,S(ad0fd3a,ad62d6d0,bae7c51d,590876e2,33d1028f,62d5c178,a0ecc3d9,a323de2a,88e024c5,9672469f,54f4a64e,b792d761,d163157d,ed982787,a6d40382,83b0601)
+,S(1bf19432,f4044a69,56d6e9d6,7b84a5cb,ee743771,8d634dfd,20706cdc,602729d3,4114b200,afb6a1a0,75ef8e3e,16c37e9b,4f2acd9c,3fa4e922,63d1c430,7c516aa9)
+,S(514616f2,bc2dafa,8be3b9d5,f00b694d,2fb1af5f,12d219af,c35204c2,e121d93b,3e5cee53,608a299c,f67f4e0a,65adbf2,57ba8eb7,450058a,74072ccf,922eaf9c)
+,S(8e3fece8,5338ed31,93721d18,1cff34e4,fdc42330,6a8e1a1c,3b002da1,6921a661,b095734b,6736486b,676dfc24,9cac99ef,12894543,8b333b2e,77664f8,20f686d2)
+,S(46c06820,df101ed2,92842186,7d8a20b9,6db1eb9a,ae63355,916d438c,a7ad4447,fcaa10f4,59bb73f,c48d1b60,1147b535,d7d43958,1bcfe26f,9acc7abc,ddf1afa9)
+,S(56334df7,1f9b390a,b001e406,ab37af71,3fff8c69,1c2eedba,fec7dbf,cf722b31,22d04394,340dc156,a73c4b0b,f49a6c93,8a3724c4,4744690,4af420bc,726707dc)
+,S(202e246d,89045f8c,9dbe3dc9,7ca52d23,b2fd55fa,1b5cbd37,cb882663,ca67c4f,f4e6cf89,9cbcf023,1c9f661e,c4588072,7a6241e3,513cb365,9a2e7b20,a17a62b1)
+,S(c8054ee0,10211c2c,f5bc1ff9,43552eff,c56b635c,d65e409d,ece239e9,9b9bd4d5,f50515af,51601cbc,de6842b4,3b854b05,bf1ebd1,678c46b,46e22827,17f31057)
+,S(9c29788c,235eb61a,d2940708,4b9701a1,ea3282ae,56f984f5,1c625538,14438383,32111eec,efdbef2e,236469db,4ad30e30,c116cc42,99dd286c,2ab70ec4,9759ead7)
+,S(5854e8d0,b7b5c394,7068dc86,f94c3cd6,72999023,367509e7,4bc1745c,19a57ef8,7e7901c5,c06bebd,f50c4113,4e0d2d3c,edafec05,417d45f2,345b75cb,a63eb98d)
+,S(8bb2fff0,f45be789,a0446e1b,3547a44d,1104a5dd,9c8e50b7,4d0fa891,f73fef34,c332e365,a5343ea6,6c571e2b,c383f767,efb979df,72223a79,35da9173,73b182c1)
+,S(ea88e65,6ee43387,86165faa,cb643cda,992f5656,dc7333c4,5ad8b561,8ccd209e,c38c40d6,4a7a343d,8ab357ab,845725c6,af9f4f4a,843986f1,fd0a83a2,5df0f909)
+,S(c0c1d4df,857c7ea6,13322c2e,e0d4ba2a,a3b18ab8,cc8d9ff6,6981d6a9,4446295a,247115d1,e8eef7d,ce6ae1db,ec9be46a,9a284648,ebb7a918,7292fe05,9d72b981)
+,S(91e6a4f9,407d3600,2a808d8d,db723ebe,67b8e212,792ba65d,b74e028c,ec7fc72a,ef6ae560,35f58be8,5cce98f7,b2106e0a,12e57dbb,47a4a995,47ee5041,3c5721ba)
+,S(cd749618,9a8c1d36,2995cf61,380d0366,24a7a402,e21cf078,18794e08,fb208454,f3dc92be,15d1f912,a03debcf,88afcaba,2dd6ba2f,1d23a4f6,ba02c5ed,cbaf0bd9)
+,S(99f5d12d,2e68e70,c304f3fa,44eb24a6,85f63065,af0a15e9,f71752ff,82943018,59f1921a,d97ebf33,68f962c9,c0a297b1,dff9f980,246d5dfb,61168dc1,da0b8a9e)
+,S(63c6cd30,f9c07096,11656b1e,75d17191,a6ac02db,9debadff,7b3d602b,b9f7608f,2e439373,70a41b8f,e0e5f0a1,3ab75be4,6d8b1ef4,ee71723,4b73ffef,461083f0)
+,S(b7407f26,90a5ea11,d9b7fc55,17e6c1b1,9e04fe47,180b1e93,94cd5e97,5d184d92,1b953929,47dd4984,7420f727,7a6796e7,828ee880,3e0d701a,aed8cf7d,513de6d2)
+,S(24979116,161c8840,dd521e96,27a50056,c29ce48d,d86b6297,150f9a6d,e383fd40,13dd71ab,3dd69cf7,384d3e32,5fb16648,76f99943,f7ba3649,143e09b0,28b9a70b)
+,S(f109b6c3,6122b278,8656c80d,4c84150b,b419919,4650d96b,6f2de8f7,f9d73b7d,a7457369,bef8d54d,c0a91d4a,39496f85,bd971f6b,4a13dc77,142ead5d,791c96ac)
+,S(59b303f8,2031c370,4f17c929,7fbd0ac1,36be9900,a26b5516,9f0e3b6d,69118df9,30c7c4dd,1666271a,5ac8c936,b35068c1,9830306d,c695e02,d6c65ebd,2fd678c3)
+,S(6627359a,eb3910db,4ba54cd6,c7b884c9,a678621a,d2bf6cd6,6023974e,d462fc52,bcbcf9ba,d2de78a7,fc486734,79379778,feab83dd,ea4f50b2,555c457d,a910d487)
+,S(76fdad80,c4fb507d,9c9d2305,90e818ac,ec7efc04,1184281e,9212785a,dd51f1d9,cc8cc7cc,349cf307,f34adf7e,f559855b,9b88b70d,7fc9d19a,18cecddb,e3a8c346)
+,S(7893406,e99cf08a,52fed9cc,4a9bafdb,7f2380cb,4c288700,b983b791,e1313330,ec15e1af,39eafe5a,d081acd3,fbd5b8ec,d0c2e83b,7a5b8074,50ef80af,2511d149)
+,S(c454aa4,e8d02133,ed93c229,d0e834f5,18f16cd,d83a39ff,3bbb1ba0,838c81d5,a98e61cf,89c43808,f4895924,529a6e59,8af57be6,debf5f5c,67e3b3a8,73ac51f0)
+,S(ff0bc21c,cbe5c122,dd2ba8f9,64239010,97dac1ee,3957b27b,f990b611,72402880,c34089c,1f7b2181,8d4cd5f8,9e445ec1,ecd634f7,52960da,467cd396,77bca50a)
+,S(8e4486e3,49a0423b,d8132e39,812b78f0,3a0e61e9,d3eb7735,86f1e279,3731c301,897b24d4,37cc260d,52e1866f,4dc222ed,16bbf084,c108883c,a8a7b9b2,9a2053a1)
+,S(4f4ca57f,84f5c4e9,6aca30d2,351089d,bf7fb6c,13847584,590fa5b4,4dc579e7,d53db7dc,1691556c,36f1cb1f,8a1b91a9,33634975,8f28d0b7,17d250e5,ade63a9e)
+,S(fe8924b2,d7a24fa9,5c61830,aed8fba,79b3a96f,388b6423,c760aad8,cfc203bb,bd303e29,c6be0e2b,f4e79df9,cb17e0ac,e92c3784,fa8c26a,7e3cea32,d0b056be)
+,S(3099f75c,f6a8c72f,8685895d,152f99b3,8ed9a3,320f3fc5,dcdcd14d,c46abb5d,fbb5bc2a,ec76529c,a278a32c,2a95c2a7,4a939c4,c0e2c0bc,6fc20b2e,a6fc9f1c)
+,S(3b939f83,f84126f3,b6632de0,12405c9f,43244322,2ac384b9,7415c2dc,9c72f4eb,843b7353,ec454380,e9d4cc20,23a138b5,c1e602c7,f48be55f,1d3c24ca,f05607fb)
+,S(dc7506a0,4a50e345,dca3cbc0,6384a938,b032f197,d6d30932,7b0c646d,95c732d8,fe942311,f6d49d62,99f9559a,3d16f43d,c6a39d4e,b623f9ea,e8dde39d,9bd5772a)
+,S(f5a4c596,c6996a35,172fb61a,2721d75c,3dde68fb,4abc9433,f84d20ea,83b30dea,175e0d3e,77d2f63b,bb2ef922,d30b962,fd783b30,ef7dd8e3,5ae680bb,9df26572)
+,S(7e9038e2,c499049f,e5d222ae,2f79f4b1,373c2f69,262f133,cb9be1f9,aea4029e,3592e66a,343335bc,e016276,6550a363,1d7dc64b,2223bdfe,7146f32b,8025c737)
+,S(80f22f73,d16bfc6f,d6c28e92,1f990eb6,e2cb803a,d920850f,af489ff,f62b1f41,8714a5d3,c5ee74bc,73e11fd,24cf4d80,370e6711,c726ed68,2a1bd77e,7b503b28)
+,S(498a2ae9,e86e53f8,43470a58,ab96fe0b,7c3107,d9d23535,fc887bfa,fe0c897d,47aa9eb3,73e841e1,4260f651,6ab3081f,7ec3809d,53b8609e,c3cced3a,6401bb53)
+,S(601af64c,d14ce184,ca52c542,7a78c746,8e9c069a,80277b6d,960ddf30,3b3a010e,2900a63f,ca1576d0,11b46c27,32c87ef5,56dd579b,3bcd59,9161cd20,ceb7fa18)
+,S(8fb2e0f0,7b2fcbc4,ad58b06a,822aa683,957f2bf1,5dd5984,9a1341ff,2d74a25b,7cd82350,8d797cea,b1b386f7,5d5f82af,6137dc9,9f6d6e6,b7c68cb4,75070aa4)
+,S(336d780f,e9d14e8,b55a1498,72c63bc,83468eaf,aef3282c,9bde58af,6a69e6d9,92d1004,be45bee6,b8eeba68,2fd0187a,ac3e6679,f4fe0fb0,b723214,a63d2261)
+,S(507ac721,f4d58704,4f8d2cbd,fb03aaea,b0634303,cce3e1a5,e4e47efa,90d5872d,b89a398d,e7db05d7,a1055093,97b83d60,9ba53c95,39caaf0e,917d22c8,307174d9)
+,S(c42dcec1,3bb7fb96,29171026,f66c012c,992c604c,bea189a0,46e688a9,473ba343,8aa37731,a53223cb,a021bfe7,c413929d,8fe010ec,353464b,e3c1ce02,e54f7bb5)
+,S(b02ea2c3,cd6093a2,d5e6b5c4,5c510848,857eedb6,50038417,d9f41947,2a866a2c,ebb45c50,cea190c6,1bb7c505,8cfce93b,ed1d8ee8,c75a5bf8,6ac9c127,2fa5527c)
+,S(f4d193d2,9f20ed2e,273dc2c9,aeab43b5,85626d41,59b7edb1,51e17c45,ef70d84b,bda19a3f,19b834a2,c493f8cf,14cda579,1f84b6c,611ea7e7,280e5196,1add0974)
+,S(8740dceb,19eac62b,75859b9e,4d0302d3,cc84f6bb,1ff6e857,eef7fb64,fe5f1bb0,a729eb0,4783205a,2e1d5b6e,7eb5221c,f2f151de,1489d1b,1d98fb68,e7c6ca49)
+,S(79ec464a,85a29f08,d910bc94,449ce88,50aec626,3693bf6c,92a5ea23,84fcc9cb,77d170f5,b52ed0b2,9aad476d,85abae3,a1d7c544,c625ba2c,d44e68ea,ef53b39)
+,S(4f1018d5,dd54bb71,cbc0e29b,255eafd4,6fb3aac0,45889238,847efcce,3207fceb,c32819e5,d23cc2e7,73a9b2a0,271fbe3b,a64531d9,2d416222,24a2f64e,3be7dd8c)
+,S(dfbf1936,2094e85f,ddb25de6,8ca85cd4,e53768ab,81780eb0,33a0607b,fbe969a1,25ea0b59,33ba21c3,2ac5f1e4,932debcc,a2ca3aba,e0b7c671,93d97e1d,af80e563)
+,S(184c66c0,2c36883,2c1805f1,8612449,940a371,54174f9,b67bb41a,85226649,cf63fe44,f1cfc791,4fb4a24c,1e0530e4,736f815b,a910b487,ec4fec7d,f8662eaf)
+,S(daab3606,d386e04e,e39a8a51,a8242e43,ede9de09,f50322e0,a0f410f5,f043686,c0ba1c4,ebe7d10,6fd0d0ac,4e8f6e8c,fbb2b682,3a9d55e5,dbb7718e,d411718a)
+,S(a887f4a,5311f252,ba0219d1,f848d334,26b0e216,69020dfa,89dcc339,7e04530f,5a7c04bd,8c37cac7,f429bff3,eda01dce,a5b4fa44,eecd3195,2878f79f,9dedeace)
+,S(1b315664,409feb98,4d5dbfd5,a85afbce,4784a907,b284958d,28123f61,7c2d207a,2972cc7c,ba348e5a,5841d463,4597fd57,84eea5ba,a99bdc37,3119c568,aba205bb)
+,S(154adfd4,27c30d56,d5f5de1e,d7e8465,6727e69f,82ec8d1f,19dfa16,b1fe4984,5ba86e8a,324b279e,449f61ba,a7fa52df,882477c4,921f2079,98199775,3e0372b5)
+,S(debd69f9,fe55c15f,b28df417,cb1af3c2,585fe89f,b44c2f94,94fec0d5,88480994,98d8cc21,55c16d24,e8b1b831,4fcf616b,2564ff,9345fc9e,f8de3cd7,57f9708d)
+,S(9fcd3490,2a7c54f9,a2855fc0,9558c465,e0316c3d,fb72c66b,71d4492a,efbaf9e2,a7ac4160,c2b5a416,89e9e49c,8d5aba67,143e1de8,26498be5,1cfa691f,f7f5d14c)
+,S(59cacdf6,fe4bae99,598fb1d2,df3de7e0,586fd792,eee0d9bb,fdabfa73,8943a727,7c730d34,7b3ead16,c74d349e,191c484f,624599c4,d379acf,ed8d2341,160df035)
+,S(5ce1abd1,fb291d97,db3a4c9e,c4ace635,34e6b373,407a8821,67722fec,7fb226c,abc24634,b4070973,d8a11025,5ff7a81b,a39de6f,5275d3f,7630de8f,23b7526)
+,S(f783628e,bd0a0b4f,6ee68001,5b3014f5,e70897d0,ce159baf,3afb1aa3,207d73c,d06438fd,5b96b88c,94a68b6b,1f5fbf32,6c7a6efb,83b2f1df,2849f809,cc39af61)
+,S(7830fabc,cc7229ee,35c7130d,b441d2ea,9a988d47,72ebe00c,6c159658,537ba0b3,49e8b58e,6aead178,3d5c901f,a803a33f,78acc889,27f2d57e,835aaadd,1b38fa7f)
+,S(c930390e,a8901286,21a4399e,ef9a4a90,6416d549,c28f7482,6252fab,5fcba9e1,fa0e87da,3d0618a2,f54e8fd,d14b4bca,3bab137c,daab0197,4d110ef,b161cfce)
+,S(2a0da867,20571917,6f949876,e5f00ec3,ba0924b0,a5e758b5,2d0c23dc,da9cd28a,96cd04fc,69350959,595b4870,f6df11cf,90c1fa1e,cd04ddd1,975d0bf0,fc907647)
+,S(f64881e2,60da581a,f576e92e,3968e24,f2bef6ce,dc1c9c53,256374b3,1446fc83,808a945b,660b67f4,43ef833d,b491fa56,2aacec09,f8a2dac3,863b72f5,e7c8b94)
+,S(970bd933,5ec5f0d,3a3cea17,5090f1e0,c181e488,1565c341,33017f99,ab81f052,4d1d270f,e284774a,fcbb6658,d5cc019b,8eb30bdb,39464a79,6ca1431f,1ae9fc48)
+,S(dfe94b31,24c4541f,4723ecfd,f5cad197,2c058886,9283073,35415bce,e4c4779a,cc283e53,d547606a,a0fafe8c,5d3403c5,d047aff6,8b194b1c,1855a7ab,9540e23b)
+,S(f1813379,673ae594,8fa30bba,d8737d0e,16c8bdd1,8f7047e3,bf33a39e,858df800,acd2c1a6,139a2dbf,9b008d50,d0b4d1f2,20bfb9d8,c24855d2,ed54440b,a87d294a)
+,S(f4fbc156,fb631bdf,51192bd0,1c0db0c8,8890ec97,9c368f3e,c2106043,6d423740,3cb08cf0,5b07deff,431faf91,e1874baf,9cfccd3a,df487f4b,4f69026c,1fb7149f)
+,S(124da4e8,3b079d72,4a7a9a72,5cc45a80,cb92675e,74541bbe,d36224e2,793de6d,3e700066,f12e0cba,4d6200fb,2a759554,1cd15531,ea065e6a,c6fb4986,548d00e7)
+,S(749721c4,455e7826,1de045bb,266b97d0,6c2b112d,2ac8c16,428ce961,b78d1138,27556aed,a3f331c2,fe95b237,d3326c7d,25bc594,39f07b87,86559fc,55a3032)
+,S(62cdca49,aa58f55,21c60dfe,d50fbf58,257676bb,fd4c4e97,9ff9a91b,7627a028,8bd49b9a,e16d10ea,7ee1528b,4f433e8f,17c4a688,a7148fbb,d10ed605,595c37b5)
+,S(64d650f1,39b13aa6,16d3b227,5ed164b1,1cd3a1e8,81759344,7895a4b1,686478c6,deeee52a,f7572d87,f339595b,79643402,f9e2a065,7b95ba42,6b83d87f,3dfa5c2f)
+,S(d08a3e55,66c636ef,3417c17c,d8526df6,37cb935e,db00365a,1ecc9f4a,9ab59d,2db049c7,5eec5176,3fcd3502,33856da4,e9ed32fd,24242a54,9c9ae462,240dc103)
+,S(8761705a,35bcc509,afa20d62,61859afe,97154782,49ba47c6,f4b8df0e,30f20d89,b34c25ee,bb029622,4929c3db,78046a09,fd43b9e,be2dbf64,436f0df8,adb726ae)
+,S(e3453933,4ce22643,146cc317,54e7ce7e,e35f6f4,e37b307,c4e9e11a,3c6f5f85,73ee178a,941e81be,ff22a0ca,f2bb4513,1afdde7b,336a3bf7,ad05c1,d465d97d)
+,S(8389192f,6609a7e7,ac8e6f11,fdbfce8e,246b36bf,95e0de27,fac36082,34ca917b,957073a5,50448ec2,9d67b681,ccfb1aa2,67c88976,e53c99be,c68c378c,f2b636f)
+,S(8bfd70c0,67bbe25f,e2e78029,a97fd863,bbf287fb,7a24eb8d,e5a61af4,c3c5d387,e2e6c66b,ee7265cd,5a1b1d64,4f24fcec,8b59001a,6edbb1fd,5d894740,f3f952fb)
+,S(a5d0999a,a05f0bb1,59a1582d,980520b,eaf82015,68875269,fdb593e0,e6ff257d,e34d9720,5ef05766,676b62b3,62ce4b34,fe6d27d1,a644050b,f9c65c34,c423635a)
+,S(44e479a7,b949c88b,507942e3,89ffd9d,17645185,92d4e544,2827baaa,5d5043ce,7b86ec29,8c12c463,b0a71416,24a570a9,e2b10d77,ae12ee23,2504edde,213a7087)
+,S(60dec943,d9797811,706e0251,e0abd0ca,3f37bb8d,559213c4,3176ce3d,352aa558,2dc689f4,a31c59f6,c5181448,d6985335,16b0764f,8cc6fd50,8bc109d6,69fcaab8)
+,S(5ca58d38,5b5449e6,f93c5c5,35941b98,d4ab829f,e641bb24,af7e7ab3,1f7709b,82afbae9,80eb6f48,110ce090,7f39ddc0,945d9d84,d5d3feb7,4d96581e,c17cd575)
+,S(b775967e,a1b1d60c,9b09cf3d,26bf86c3,b9a23ea3,cd329138,10099048,d18b031c,d2b7169b,ecfa1055,70d885c4,adcfadcf,66f12d8c,846f70b7,12004097,840fef1)
+,S(73d8d4f6,7d602f61,3c3595f,b9aa05d7,a23bc4c1,1fa3844e,92e6b79a,40220f96,bf722a2c,ffc9fee5,bea18530,9ecd14ec,bb17fb3d,568fe85d,331575ab,2400ce3d)
+,S(e8104df9,f49f7822,152bcce,79c6df0c,8b1e9745,448c24d6,1e7b1180,99182b75,dc2fd539,ec8f2beb,1bfb0da0,f95ffbb,e14fc682,1c5d5023,96b1253f,82137361)
+,S(ecd72ef6,fb6c432c,8e1449b6,d16180e5,777e5524,4900f209,e89e995c,546113e6,1671715d,358fba99,e509f518,e1458600,4252913e,268129e0,e00d64eb,7a26e135)
+,S(e3b5ccf,be829bd1,6f1fc6b5,fa6d7c35,464bfe10,7e9d6455,a9907050,a4fc36cc,ce7abb9b,5471c1a6,de17a2c9,b5b671fa,296cb5f0,10b5ffa3,31e7a87d,a28044f5)
+,S(f3591a02,ffab91d4,eb7e75f7,f4ebd22c,41c1ce4f,25f89c5e,d7ca1ab9,27107734,345a2e11,f2bab926,487c7d53,5314bb6b,cf04746b,be2edc10,18a57c2b,94fa4b3d)
+,S(ca4b045d,ae54ad95,37d184f9,ffc5a950,c61349d3,227ae1a6,5501ad97,cb45c635,e30f817e,255ebeca,352f3c24,b441d1e9,4660f456,ce9cd72,eaf4c4b4,d7c1d806)
+,S(f7cc5740,54a9ea61,fb8ebdb7,b76a95f6,30094720,675aaa72,dfd29bb6,6f41ea38,9d463d8c,fc5424d9,18275aeb,5e046be3,b3dd7fbf,f52d4990,f52c81e,b2556eac)
+,S(f75b5f79,fba3e3f8,ee64bbef,7d34e8a9,b4fd9bfb,27b6a9f8,76b1f70d,ed6ab6c2,220b40bc,5c3fb77b,72c48e36,2745677f,7e0e8266,f85a14f9,d4030ec0,90a43faa)
+,S(2aa367a2,5060236a,627d89b6,ad0a398d,89d86a64,735a4fde,e88fa4c,d9cd450,2bfedc25,2491b1a,764a802b,c4d77d86,1e70ecff,e9aef8f6,e829448c,d841fc32)
+,S(ff7f49c1,11783cf6,e7da1e22,15827b07,a1078ce7,b1eb3257,65a37c38,a141620f,69550c9e,2e48058e,8bca8b54,21251dfb,a488c585,df644bea,d519acf6,54702733)
+,S(31d05358,1164f4ec,a45f7338,fd3ebb90,76d017b4,5e679601,6fd02a0b,5c3aa39f,f124319b,72177ff1,462fa90,2e1f8d23,d4d3ea0e,d1bfd1fe,6bccd92a,9963f575)
+,S(6eaf0edd,fd1203ec,a2cbf2f3,8da9ad7,c8a02d3,ab5f06ea,bb88fb5f,7e6a3bd0,d9336d01,2d8e9474,49c521a0,10a3b83a,815a0c74,a31596d4,125909c6,73e05f08)
+,S(b95a519,77991ab7,fc3943ac,ff5fa88d,68e759c8,11cb91b9,e9a1ba97,7eda1347,8cf2cb5f,446d448a,5a98fbfe,75a2ffa6,9758bd15,36eea87f,533822bf,6de5ef23)
+,S(4e5301d4,8ce5edba,f3b1dc21,2e804e7e,1fd386f5,6b90eeea,da6c1c58,211427e8,f503ec3d,e169fdb2,e1d2f684,cbd9d684,dcabaad9,376d96b7,6fb0a5d8,1b9f0d9)
+,S(4fd1a9e5,9031b43,715f92cd,c49c2d0a,fc7c2b54,ad61d7a3,9142033c,3cf49cd2,73ecc11c,ab0165bc,3ab4b43b,ecef694a,2d99c9be,8b877160,2c885a6c,8e4adcb1)
+,S(67406865,b32543fa,5ebb7fa4,a8d8fae0,384070fa,2e8a4b86,74510099,20257c84,3fdd9ad5,93a4e0b9,4f4451f5,e3227df7,e829a45c,ef3d271f,3fd85896,bbc62008)
+,S(14b955ae,d6ee5be6,ef3dcfa0,edac40a0,de7e8dad,19c8dcb4,e4992a65,a46569e4,d4b920b6,21823f81,8481eff6,761353dd,7d9f31c2,5ea9d1eb,ed60a5d5,fa2daf70)
+,S(14f283bc,5608d5fa,dfaa0b3f,fe42fd20,4003e434,c6368fb7,22ca5f22,3339ae42,b2415e3d,c3aefd3f,c644d4bf,b0a87fdb,bf0ba630,2baec8c3,7c1577cf,9edb7397)
+,S(3fde0c67,7d3ce20a,6e6275be,7f80cba8,5416a55c,58dfd09,8e733a32,1fbd1c1f,9b8ef7dc,610f192c,949782f9,bea1f08,9a018b25,8926389a,1155d033,1adaaac6)
+,S(9c55e669,df5f3d05,f15c74dd,48290540,b993bf4c,41dd9247,df5332a2,ed17267,23db0ce9,30c97665,175abd78,33757fc1,8c6b3c32,2d260810,981b4e0a,6e4979f6)
+,S(bde84df,ae141a0d,6e8da60b,30f41746,506d2dc3,4b3faee7,d8568a92,82968d16,45a33214,ff1361df,e724697b,99a6c686,900374f3,6c298dcb,468f38c4,4ab3ab04)
+,S(1940294a,b8f3c2ca,45f68f45,4c60c5a1,e5d97085,946b30c0,54939daf,c99546a3,563f9f99,3816c62a,1e60ea76,77c61bb0,848bc926,e76e386a,bfd96bb4,ece3b81e)
+,S(dd6ea1e0,d0d13e64,7d0df92e,ad22d838,757a34d6,373ccad6,6829fcce,b32ccb0e,c018e9e3,6bf4e8b2,853ad27f,a49e5ff8,384b557c,aa00c3fd,d8e008f0,ee33c313)
+,S(657847e8,c7844562,e26656bf,bbc27b84,dc104737,42c4dffe,c0669616,5b7fbf19,dd90dfb6,58b6ada4,901beda9,a4a9a8a,42c6a4b4,e79a4172,5b5f6ab6,95f2df5)
+,S(fb7024b1,40be9d6e,906d26c2,edb781cb,49b8e71f,396b8d3e,352506b3,fe3dea6b,de408ff4,e50b2328,b6ad961e,9dd1ac46,fea36005,1407061c,5a0fca32,eb08efdf)
+,S(2d29c008,65a7b279,d3a80179,cd3e8944,b3f2be0c,49a398df,a3113350,d1d8e8e0,caaf127a,ee704a4a,65802748,59649e45,25c55005,f2667ee9,92e9d923,daefcf8f)
+,S(db690474,79b7209f,4de8d42b,a3c1be3a,39268589,a7c33632,6d87c1cc,53d5662d,90de8be9,5c3587aa,9913ce32,c83e24e9,c58c1fbf,2922c63c,b777770,fbaa4e00)
+,S(9806506f,922e4f0a,afd54ada,258d6fc1,723c7087,ccf13f0a,df247356,c941697b,c07e2018,a8cab841,37698eef,3d31cad1,b97fef49,77b277c9,25245a12,f16bc237)
+,S(ab868d3f,e6da25ac,5b11c112,28f14621,661e0ad1,e33d25ea,ae1ae7af,60e40187,ee24b698,334a9850,1a1195ce,d57a7fd9,4b12c488,bbd301d4,d47d5f13,3cbf54ad)
+,S(e7561fd1,9d2a8ee6,12056be1,74257e28,3122f366,abf66f49,31fd89ee,fd8dcda2,2052e74b,e3656d8c,5c766ea7,3227b75b,85bcb190,8a07918d,5a8a8001,3e166d5a)
+,S(5f19523d,84bbe307,be08f2e0,fa844cb5,7b562f01,39950820,83c2df9b,e8f21e6c,3a96fe16,28ee1dde,2ae9ad2d,5724eb88,33377542,6e91acb9,d9be7c41,7265d7fa)
+,S(c9fa4668,3c949b11,2422ec1d,c5501efe,2fdcad17,255c7545,69837d28,d9c10cc1,1aaae75d,18f691ac,cf1dcd8d,9e8e0348,b5b6e734,76d47ffa,b5e23ede,c7fd1dba)
+,S(1da90e2a,1e911879,ccfa084c,393b8205,1799b2d4,15a42401,b1ab793b,beb8d8c,3d3f7c69,11ea4d38,46cbae1,53b3fc32,74994ee5,1f4fd332,2da4d28e,c89c0b63)
+,S(c6fcf10f,3851e432,6bd504ac,b7847f7,707e4098,d8f66915,3e6f89ad,f31b3186,d0ac89f4,a16a63d8,6e36ea10,8f8ee5c8,4e2705af,a9c98bff,3ea5253,93a50ced)
+,S(15057a2e,eb56c67c,cb6b7d4e,f1257ae0,3cf236b,1f9b6588,fefd7f46,16378233,4dbab530,ccc0a7a8,c49543ef,5e3d0a87,6f205a62,2f9a90cf,5054bb0f,dc4930c2)
+,S(37eeaee0,72d5ac0e,6ea7337d,d07ddebd,45bf1cb7,8c02dea3,6d1e419f,308b20f,b0c64496,5d9daa14,19c77249,a32a3a3d,a5761adb,bf5a394a,ebb91630,f361d506)
+,S(5a207bf8,3a8bd0e3,3c71cd96,d928bdc5,f1d6ce8b,7ad9bebe,61a27362,2557745c,3accb757,fadc9b6a,2a5494ac,15744113,ee878901,323c6138,19ec7666,60f54dad)
+,S(fe08dd6a,1a0fe325,5a391271,e81befb6,f6b2ee08,907046d1,642d39bb,fbabd139,42c342d1,3535822e,e4ef1b43,69f204c3,665d2326,1379b0d6,c520c64e,181ef40)
+,S(b7d262c9,8dfdbba,6483edcf,38044cad,d6d859e0,3d1ddac,a39cb999,78706111,96086350,b308b397,6a007c8f,5181b5ba,30bb4c11,653d689,ee97fe47,28d798e8)
+,S(4b12ab2e,23b33775,3ae97d7c,1badf5a,7d354b57,dcc78407,6836f802,34130c86,419d4e0d,9f708bf4,2e11e73,a1fe5815,2bc9649e,49ae45c0,f52fb8f0,f23c450e)
+,S(fc6d2682,a96eccda,4b49570c,8bcc47c4,8f362bab,7750b4f7,4f30cc49,d8e88dac,1af56527,30264580,d1f22612,e90597f8,694aff0,96001848,8a243ac,f4beedbb)
+,S(c7b9c3a9,a189eba0,54742c40,c4afdb9e,5e07e6c0,e442cf06,32e9b655,1e607e8b,5bb68277,2f2274db,62084cd1,9c1a545e,ef6b38b8,d4dc3e30,fc58042f,f01822ab)
+,S(eba4d342,30dea72f,29a339ba,3ed4306a,46c761c2,bb6f9627,3406fa7,50dfd956,fce17a0f,23d278b2,e3da1747,706840cd,d31b01a5,8793506d,2155cbf5,dd237cee)
+,S(a4d36dc0,2177d471,35b4358c,6adec285,3595dcf4,6cd9acc8,944a569f,82c04155,85a29779,63b21be0,e378fd0f,b5a60fdf,65f3e45d,c2fafad1,13377f4,81f00281)
+,S(4916d063,ae8bfae1,e3f5bf56,fde73abe,eb165aa,4e6d4a16,9060ac95,76109ba2,a7916703,4a0b40d5,f967a08c,a536b7c8,3b2b0b4f,67638656,4ae9b4d4,4c3f22ee)
+,S(761cdb10,b2966030,85f8f1a4,404ab49c,9de01979,85817f97,ecbae412,eedd046,1d115720,763b545d,72f8f50a,b881e7fb,9789f0ea,8dda90cf,2ee2f3a2,2e193db7)
+,S(d7a2570,4d718e92,df85541b,490bc13e,860ff014,e8ddd9d2,e05fca2b,8dc64ea3,5e454b9d,21346767,71c0e035,fbc6dec6,6102db85,aa3acace,c158f43e,534cb90c)
+,S(2af6004f,7962c52b,b0ebcb06,32975bbe,a6b9a99,4dc5a5df,eb20a43f,3d4d3bbe,6988a9e2,26f8cc15,3108e3e,b68c6596,be1deb1b,53239933,d91e095d,d81a14f3)
+,S(a92740e5,3bab0860,1127571e,5d33184f,ca805d18,75ba4959,74108f5c,a9504255,5df2851e,2eb76b71,66dfd3d,3aa84e0,96d49c85,10daa44e,68d75eb6,c6d2379f)
+,S(90d0961a,510d8a6b,60a87c44,93a0c8ea,76856770,d076057,bcc7ed98,70014939,74d4753c,1c913088,66b6f7a8,a2386ad3,7c13dc2f,85b4b4d3,f8d7603a,ccaa545d)
+,S(ce52bea,f2e3a604,f62bfa27,92e2e083,8dd5c6a6,ca338ded,249be611,4ecd12b,a869de73,738a0a2b,7c824444,925f3d9b,dd08670a,8f8ff1a1,a4988008,2d5c009e)
+,S(99ca8dc2,10e3fcd2,ffd39a47,1c06ac49,12215441,6cf16be7,cc3e350f,f3cd05c4,78087a80,131adc2c,6bf26309,ef0720be,4550fbe8,912142,c6ce496a,dfbc4982)
+,S(be442cc2,9f5a7bc5,d07ff1f4,322deb90,cbfcc6a1,7d8e611a,b51ec610,a202d1c6,6250f2c4,680ed934,8028f2c0,1acf5bb2,fb3d1f25,e324b734,11156128,77c084a2)
+,S(53f5f5f4,37fb010,2130346b,51b9b14f,e75d95f9,b8f80e65,67770bb0,e4ec8e54,8da52b53,c6e733f5,aa0dd2ef,23e2e1c2,24c0d571,328520f9,cb1cc5dd,28c62f93)
+,S(206ce565,e90ebff,7d799e3a,134a56f6,a897ab19,186ed554,11de6daa,5c8c4d6c,c2ff5d22,bd2d6dca,7dfec5c2,e79d5320,aaa5d53c,38ae0675,4dca9a96,a6a75804)
+,S(d1dcbfbb,87ee2fab,811f2a72,726d2b54,2176a20,cc23f744,faadf2ac,7073f443,106c63b,41800bb7,bcafc27e,3f8337d8,f71da693,e1f4350c,1870f968,edd17db9)
+,S(d21aa173,c54376ba,1eb9d432,26ffc9aa,a516fd0,ef17c2f6,db117392,db749328,37cf5df4,e01480d6,604f79de,63a754b0,2326f9a4,ed74cb24,7724c682,6074e424)
+,S(5234b024,a22c69a7,569acfbe,2cbb7ce6,15e56383,f8e1e031,78dd54eb,7d1fa3d2,2beae442,651db52d,62bc3b04,2a5b343a,b4103895,a74aeddf,d9189630,8bc000cb)
+,S(9e6e9875,9f3e21ab,a709dbd4,f598894d,f5048dcf,5ee6cb6a,50941c13,35412f64,2b670199,e38f2e5a,424dd169,e047189,43111033,a7e4f4a9,2dc26906,31757ea8)
+,S(8416e295,9a718e77,10df8a92,72de9bb2,89232c73,832597fc,d28f2928,8743ae45,6ef49202,801b408e,d81b7904,4cd1f002,20732a74,764c44db,4c77121f,1133d139)
+,S(852a4fa7,48a3b2f,326405eb,e52ba2dc,27462f72,9ea3429b,b108e27a,d53561a5,3e06c046,ee0d9c23,6b0e441c,2cbeb672,770b99f7,8d062ac6,a81ccaf3,a562e520)
+,S(2880dda0,2dbe56be,b93b876d,3c083ced,fa6097a1,cb234c5d,3282942e,3677c1bd,dfb0ea10,92d46bb4,fe95366c,5370dfa2,3d371f78,40e919d3,bf966441,f1bb43a)
+,S(cb6fbc02,9e828d7f,c03dbf86,99a676a0,37b53555,275c86f0,7709ff89,f1819c65,fc4e2d9a,36577399,15cd50c2,1cb76cb8,ce9161fb,e05babda,ce516277,86062266)
+,S(8087bb5b,ff1c3438,21b24106,606d0ec3,abc76a5,8a872161,5f6305ef,f81afebe,578b287a,a602c02b,8f5c5030,ae9a4632,23a4437e,944f4353,d9bc17de,824ce72)
+,S(369f54bc,30f2c90c,7af0def2,2517ce58,f8ae829d,124ed482,653a28fb,42d3a33a,b8f2eaf,35af7e32,c63c97ae,f5962143,61f466bd,c4cc1b40,b4526157,b9b59d16)
+,S(87be4c4c,1b2f871,53bb2448,ffdb6ac7,df294628,6be49eb6,edd3d533,1fed8f7d,7ef474bc,6386c0a1,5771ec54,21cd51d0,71fdc8a8,66938a2a,dfe6f4eb,ca0effb1)
+,S(7b6678f0,18f75bea,8c310eeb,239edbe2,80393f1b,5eed1cfb,c013fa29,1e14715e,78e8b8e2,666ee69a,7388275d,2aa1bbf3,d985707d,3dd52890,c181a8b1,f38b1fd7)
+,S(89ec641,96729e02,2a9608f5,8fba388b,77d2826d,6b37caed,90d27394,b160f135,5def3142,108d7387,19ee5a7,41deb18b,5e3030b0,d919a1f8,ac94157,a4786cff)
+,S(2cbec739,3769090b,3aa2acba,b78c3fac,8b83749d,641f9311,99e6d1a6,36177f8e,3140e7e7,57ad2d5a,cb34a007,f4f26aeb,67fea7cc,8902fbad,2ca92083,f3de8886)
+,S(678cefcd,a2d6a58b,53e7b116,d03020ae,29d57618,4663fcf0,2ebcf0ee,bd946908,f45be9e0,13298eef,37cd56ee,932b2a41,18834fc4,331c1713,314bd028,e6a3491)
+,S(8ddbd278,adcc4ece,4692305a,94cdf011,5073b073,c88c1524,b43f1822,c73ec0df,90510edd,3c52c6c8,caa9ea1a,e28c7784,5d2d675b,a33b1022,68b93b17,80fc5b0c)
+,S(972bf082,b162ff5f,22b149c3,d238260c,607d7878,aaf70739,3041d0c0,d7e36626,4685b3ba,f61cbca4,d99b64f4,3e90a442,6eca9f24,d0235324,797505be,4c4087dc)
+,S(42af0d52,66604ab9,7de801c5,4514d23d,d8c1f760,bc86280f,540cc57c,bbc97230,5649b89,8c9029ed,4357160b,d97b74d5,cced0668,98de3b89,77192bec,1699ce38)
+,S(5366770,87296d1d,8e6138bc,a9a1a0c6,1748ee21,4c0410a9,fa5623f3,d7bb30ac,e0683a60,786ba0d3,52619c2f,672d90ba,7c297b2e,59591f31,fd8b8fd8,ed5cac1d)
+,S(a03b6284,e85bb18f,f04308d6,bce40e91,7d5d0ab4,ad920255,9de55c11,fc39fc24,2739ee82,c22cc348,23fe7235,a939db8a,c073005b,e014b564,4cad5a8f,e8785493)
+,S(2f394ed7,268a53a6,bd998055,a24f7dd,f5801dc9,99233a63,7332e24f,26b66e97,b52b4f3e,e934ba86,d1bd3714,a26bc4c0,e49d09f,5d055413,8d3f4cdd,73918d88)
+,S(91773010,527e537e,3aa0c19a,611ef5fe,7740bced,ef0b56eb,bb35a12c,7133f8ab,68f937b3,28b64809,27e1063a,bbbc36b5,b097ae5c,ccfbb965,f4814f,ea9fb5b6)
+,S(2851bdbf,cddc8af1,7a20c1ae,bd529df8,28486bc5,50a00b24,763600d6,904af615,d302c085,702e27ae,6d46c376,33035d6,ee2acfc8,3b731758,5d15b2d6,dccb1356)
+,S(e986d7ab,25499f1,45610b79,1b47e597,8be3d363,5a6f29c2,5d34da48,314bdfef,d0638dc,b3b3c150,10ec63b9,61104559,cfdb182d,31c41c16,5f53c331,47de35a6)
+,S(bc45db2c,5639b2ce,2dc1c5e0,d831d824,ab44daca,7fbfa099,b2e648e2,8f8bfc03,5d93e3b1,27b289ad,49e32740,a9f53e0,79a80580,82606884,2c1f9b52,7213e32)
+,S(4145d67e,47d9809d,2c67b4c8,49e29101,849ef512,ca7b22fd,667498cb,50a8dfc6,5471f4fc,2a4f7f82,9708604d,90daa64f,daeae007,d6290ea9,4922173a,4513f096)
+,S(2d157f7f,4cd79d56,bb15314a,a738dcea,427e3087,e7a5afa3,c1ad740f,5c686825,c1c4f318,76159f4b,94e7a29a,2766bb46,962a4e21,3a7234ee,eabf1ea2,296fc1c0)
+,S(2f426284,77040b2e,5dfe26cb,c12a81b,d6e89696,8226987b,361d7961,a73933ba,bdce120d,141b2879,effcf601,c75532f8,a384f942,879f24bd,45e483d1,8144075e)
+,S(b419cfa7,6cc91302,e683c9c0,eef23ca7,bf9f8f44,37ea220a,b8a1fffc,3bbf527f,bb86954e,290f2419,e4891a70,b48806b4,a911e956,e3cd0dba,3c0251e3,aa929517)
+,S(cdb4a6f9,5734164f,c7af2913,f0ded939,2b17bd09,b03698dc,ae2d72d5,4925236f,89eda236,bd1bf5d7,e500c47,d4996451,d57c963c,4f125ff,c9ef8e6e,aac8e7aa)
+,S(ed4ea751,a45ac44a,33e6f2f1,50392fe8,a12a8c4c,2233ca3e,321800f8,f408c256,9c7e9da7,4a2b349a,ae9266d4,d04d912c,a296d963,98ace64a,caf40634,970ffef2)
+,S(9b06fd38,fdf963c2,830ccfcd,1df08a73,84a74b02,fa79a87c,96decd0a,3cfbf5d3,e866461c,e7ee6015,aec4ba3c,d4dad0d6,3ede27a3,2a1b20d4,eb29de00,6b226416)
+,S(df11481e,efc1cd1a,97e13f1e,e0702056,c2b7894b,de1a44ef,5166e521,1af6ae75,a1411856,35429fa1,ebee1f24,de73e2cd,80c76661,717abad4,a8354aba,222b7e02)
+,S(f8328d01,b1f3fb3,d07bc65d,e807c619,46e4df15,a518a845,23da032d,12a3c9f5,e29dbc74,7746d478,9ca9a6d0,b5ca9ebe,de174914,7a709df0,d5e0f100,cdca6216)
+,S(3e3afbbd,b7fc2301,f9a13590,acc4fb5,ff0d1b7a,92e09e46,1fcf0093,4d3fff86,1fc7f7e1,b9821c51,bd44c8d0,9619aeb1,a5c2af1c,3ec28742,f0f26212,6eb6ebd6)
+,S(aad17eea,68348015,9cc19f8b,69d335b4,78ede880,4c551660,74d1ea9b,1ff86125,e993b8c,ebab89db,67cf45bf,361ee910,dfa1749d,26b488e8,ed6cf9df,9d365257)
+,S(213fbb19,5515c686,fe8f44b6,fe26a178,286442b8,fb29072d,37ce9972,910ea35c,497b951b,7df7f4bb,2d0ee577,19876203,d68c3958,62781362,18e8969d,ed52a852)
+,S(cd7f72a5,78ed819e,3e93321e,c8b8c7a7,eba91b47,92821a2,92493790,370120fa,a3d51c70,99280f2c,fa2c537d,991077e6,ca4eac91,93e97ce2,d8ff5fcf,45bb1148)
+,S(70a360c7,a72939,f9a3a28a,1d1a9e2f,8240aec1,878f9b19,68923e0,b67f3b51,a1d9c07c,53a4dbc2,2ea4ae36,b6a0bb8c,dd175c98,6d2f61b7,3eb05552,ad710259)
+,S(544a615b,4f8e2b66,fa1dd19,99e9cbe8,eedc35fd,9cda6d33,7a076601,21b5e46a,75d26db9,c76fc8d7,65286aec,bdd9c97f,d7ba7a9a,7308e6bd,75150b35,ba8451e5)
+,S(4218d79f,76a073d7,af19b265,74d5b5c8,f8b779f7,36c23c92,a01c3467,8ec8acef,6815f631,49073b5f,e65c05f4,eb284c21,87e60355,e207cbda,f2c01eb9,becfb28e)
+,S(6ada2638,1a82acc1,8a333759,8635f83a,3deca5d,9e4dbb38,64a2fc1a,a269b0a9,53d356da,65f7526f,60d05f32,b8b5f841,2e77b6f8,b61533ba,e8ace229,5eda6c08)
+,S(5fa99d01,d9f29a59,75518e98,7c382c41,8bd46ea4,7813f579,3366618e,e118b09e,d479d238,38deb81b,dcce381e,4982652a,f15f6602,dbec34cd,6fc0e82d,33fc3b39)
+,S(cc6ed576,34cc67ab,6ea676d7,2fef96d3,bbb4a00,b2b7fe44,12d0195b,44d76f6e,b15c15a,d50999b8,aac9e5f1,5834284f,dd801b0d,da4be94,f520af62,f7bf820c)
+,S(e4cd0fdb,5323ea3f,deb10bf8,90a26b6d,ff447679,d8747ddf,ec32ee3a,40ffceb4,fbdb40c8,ba9c4357,656af718,db7629c4,e2caa87b,c41f8c48,d5d86a30,d220e1f5)
+,S(77fd722a,ba51b929,ac1e3ca1,a2346833,b3c1fec,7a756568,6afb7cd8,9b88a8af,d02519e1,d6e9cb4,4f378ee3,1df4bb74,6b5b555b,2c7b0691,9cf90f5b,3de98505)
+,S(4d391fbc,a9dd3d47,9d3ca57b,f299f4f8,6291e523,95ff73e2,665418c2,997a41dd,5cc9ec33,b55e606b,b93e9fcd,593c43f3,e5d4a3c4,39ec6fce,1a9ebf25,b4ce899e)
+,S(740bc446,17b17b84,5c99d63c,3c92fe81,2eb232f8,8161a2ba,83f3a445,73084e97,fd8ec6e,f4f9567,71717481,c1301876,fb10742a,99028c67,883254af,f8355464)
+,S(c258c21c,adeb8453,5bafd8d6,cced030,c6aa12c4,1bdcc392,b2d10e5b,1b46e5c,7cdf037f,3e60bd7f,739d08af,a20de5f2,b73646a7,5ec3e2af,4cb62139,5d171d31)
+,S(8fc88069,733a4d5d,bd80261,c0c9ca65,fac22a5e,1bffd768,dbeffb83,24130d44,4211a94b,f88c042d,54d37ba7,41cee691,ca5bf0a6,38f0ca95,954f4aa0,12fc946e)
+,S(cf62ee1a,40321c24,7fbb0e0b,ce99d314,f5152de3,32b827c9,67a61bb9,c96ad4c,6284a7c3,e64f7b8d,4bd978c0,77dc0d22,e6137336,6410d5a1,9bb09640,1ec4a3fe)
+,S(53351f8a,4d447760,ecc88443,19b69160,bb00b3ca,fd6fd9d0,6c0040e4,549f8ba7,83844e19,3816e6ff,755c148f,d5488384,c7c1cbb8,8c09ea0a,16352bcd,377f6b83)
+,S(a02063ce,ee2c9191,94d0e1f6,2ace9407,baa0157a,d2e600a9,e173348a,1d06bb0c,630461b5,55653f52,da9b40ea,c4448a8b,fcdaeeb0,1007dde0,5f4c186e,9f146339)
+,S(70bcbdcc,25de1764,7274f374,196608aa,c360c09e,951b9857,5a6a8d6f,e1d35660,3bd5bd9b,716359ce,80b5e719,a9e1d40c,3a1c7430,94a82b64,a90b0f4e,db461d74)
+,S(df8ad77,83cfc3c0,6fbb1fe5,2a515de0,54b161c1,74155fff,13812d19,aadc8fc7,bc4090f6,416db0c,9d34ff20,a0b7cb99,af38401b,1264c604,44ec7355,80069569)
+,S(2504e9cc,ef399800,5f2fff3a,452d56fa,8788df47,e05509ed,777a9d9e,540a30f9,73c506a2,c6f48efc,af7f4d2f,ab5fd833,6fd6514e,db690a51,11659f79,7390612a)
+,S(24ee0724,1c920334,3a6a6fa5,68979fce,18a9ce0c,819e3a61,571141a3,5bc97025,ee642ecd,605b84e8,68940a6c,cd7f4d93,fa0c6816,2fb0bf6,ba22427c,b0bd7b8a)
+,S(1ead5ce0,9665c05a,63cd8eb1,12097f35,4961e12b,25c03093,e1c6d919,7a3929b3,1800df5d,a1abcc4a,b1c32fbe,a1dd7120,7284b5f5,dee7009d,c2f4aa6d,7156fcc3)
+,S(47cf2ff2,26084f8f,9020b0dc,d838874b,160c69ef,2e5e89c0,98e7891e,ea05d507,a340d3df,129b5aff,1044d0d2,c3866464,bca2efdc,8dc83516,cf8fa522,d5fb7d48)
+,S(4064fb9b,8e2e4952,a218bb8e,ae474a4d,51f050a8,3f9a7e75,b04e39c4,42d6cbdd,ff9cec76,a2ef1930,92d3e02a,aaddce0d,18ea66c0,d1adfd2b,9c7886dd,b835de10)
+,S(838ac8d6,e58e20d0,321e0150,ba6d401f,cdd70a40,69d980d2,22de3353,fb81904e,993a6f96,2909dbbf,7b9a6b25,14153331,b1ef24fc,e892710,5f95488a,d95614bc)
+,S(a5e36d83,189d43d2,34d6ea26,ecf5943,5aedee72,bc4cf385,5fce9b5e,e202f266,78c02c3c,e25c3b89,9dd2933f,b41435a3,dfc2d1b5,e7ebbfe9,54ab1c94,79822c55)
+,S(9e240cbc,d357c4d3,34f31209,58d6f7ad,5ad79e7a,9b51f572,5ddc8fe3,1fba72c9,aea34a5c,ed60a062,ec1476b7,b30b3c9c,68cc5e10,cef9f0eb,6729172c,b511f06b)
+,S(ad1b0646,bb315380,5c22b91d,1ee47a26,dfc9ed5a,860be0c7,ea8daec3,b6dc2eba,ee2e61a2,2499c509,1a910c9e,ea159873,a298daa9,6d30d8bb,353b9955,92dd2083)
+,S(4f7b0889,11d8f64a,550d8c7f,11ecaa6,fa12df74,a236a0cc,35cb7cd3,5b0ec72b,931af41b,d297e18,b4d9ffac,8d7f8691,29b94250,f1de1d99,3e31525c,4dbb21e3)
+,S(dab2a170,e4108f3c,93fba874,70bb12fa,834d0274,35695870,d2d3523c,93d3a7ee,262f12cf,c37f010d,deaecb24,d08ce35b,293a5c6f,1746651e,7bb0b2fb,c573ae4d)
+,S(3437257b,784d72e,419e5082,311b5a66,d499f687,c4bcfa31,7abc7484,a3cf39be,ce9bcf07,6da8d68e,8453fa14,3b06d7c0,f38bd0a0,76f1cec2,a49b3bda,a5c398d3)
+,S(4594ae9f,82611ab5,bf786024,ea34bfaf,939fa409,34ad155c,9ed5e736,899545b,2255c7f5,62b0ba72,c3834e72,e77b478d,77d3f15e,3ee0cda4,c4b3f928,ead450f5)
+,S(7337705,12db06fb,36b21fc,26b585a7,3aebb036,b22743c2,f13212dd,81898819,753ddd59,725fb0a2,561cf461,c587f3f8,848b53ed,29283c51,5150c57f,50307887)
+,S(bd915814,4d2afef3,552d81c1,8c74abc,a53f4c2d,654f72e,3f2abd66,d69790ff,1af609e1,7f27e373,b42b3277,a5f4714a,31ae895b,95e0c5b9,50e7ed2d,1827763e)
+,S(8a11cd4c,a51dfee2,28c1ced9,3d8870d,67782740,1f49fc73,d4ce56db,915bb557,d30ad7ee,ae9f9c97,eec27822,9f47100e,ca46b3f0,27339719,6be0f619,56f5cf23)
+,S(7929b5f0,2802bfeb,6c23e688,65b0272b,cfd058d7,c0a45ea6,97d46d87,6f9bfcfd,f9bbae21,8039783d,4d1e366c,32a890c1,8c80d1cd,41f08b36,963b54e2,f4fde5d0)
+,S(80df06ac,1d5b966f,8080e79b,cc9f01f3,d55f8855,9b1a58bc,f6e4c526,3bd89d01,346926d0,a59558a9,2625614b,ac010f36,5ee5c337,2660fa7e,be41aac9,41136538)
+,S(74545478,9ff383f2,94a92b4f,383ad13b,ed4b01da,d20f4ac6,efc83315,be5ccaf7,36489f77,81ee77fe,de1ea165,c4cf2b5f,e8217361,9e760cea,fae777cb,c160fa9a)
+,S(2c6d35bc,b213a8a0,95c11fdb,42828b7f,e562d7d5,f877de67,de62bcd8,5af8fe85,aa30e370,34094f9f,4502206c,72f23298,2e60139c,2bd35631,44dbe6b4,c75d159b)
+,S(8353657a,9d934eb0,2811846a,728cd162,4b43429d,304aa7be,830da70f,b2e338db,f8400438,20ffa5d,28189c5a,ce693c8a,ed4a4caf,3aff83b1,66a9d404,74e02b71)
+,S(f216e93a,54ce56d7,c7ef6336,561a6299,2177ca73,4ed867f6,fd1a8ddf,aaae494f,db0a3f13,a0fe8326,63e8fad,b11cc347,8da296b7,2f1b672,3f43ea44,acd30611)
+,S(dc371221,9b5d73f9,6562baa4,b62ec7f4,2e9a3dc8,de6e7112,273d0811,a88324fb,eecc9092,ec563e96,3720acaa,929f9bb4,4f1c9015,7c3300fb,581b154f,df57c004)
+,S(db34736d,48f0b4f1,e1ef6029,6ef534ae,b10f047b,4256516d,d4499072,36649475,1c29cd6c,f7a8c786,952c34c9,b93e5188,1a116966,164d0fdf,dd1be4fe,ac586bec)
+,S(a248457,20468424,f355af53,62f5bcf1,971b09ed,358fbd33,78fc7297,3696add,9a703d61,37d0deb8,a3767a56,c2e24573,baffc931,bc850694,8c9a3776,26547803)
+,S(bb7b806f,a9ac753b,bbeaa429,31f68d0e,3eba38b9,8fb25ed2,40c9faa3,124436c4,8f812574,a1a8bbe8,d9b682e3,d9b0150c,7c6ff9c,f9b42e64,6e5836a8,12426752)
+,S(6703c476,fc28a023,f6619427,69e0f068,489344aa,74495ad5,17b096ff,c3ecf446,8b48023f,7c9ba723,584211a3,6731e14,f42699ab,522e15e,ed3ac43d,28e2a38c)
+,S(bcaaf8e4,bfa4b448,fe23f3b7,a1612b82,14cf0daa,349463b7,1b44ba61,e2dbf6a2,bdff2700,e2cc953f,e9d08835,dbe8793b,b07498ec,68ccd736,d6fe1710,d5c7f404)
+,S(906b4fda,1a557220,1dd5b446,d726a2e6,21794517,3ec74f7b,bfed8791,9310cd49,d753f2db,cd2c4d28,d0304bc4,78690871,cf838490,2d7f4f93,441a74d3,892653cf)
+,S(9ec09783,18f7d95,5180e326,e1bfdd04,fa5369cd,eb786905,8d726ac3,9ef93d5f,9cca8057,994b1641,53ac6842,4d28fb70,ad22baf8,f894a049,d1794add,97acf205)
+,S(53347906,b75440ec,28362a96,f114d2f3,6f823cbe,bb0030f3,a2de3314,12b8209d,ccb38e0,471f8abe,47ef1bf0,29550ec5,59581680,3e19034a,b06a090c,ca0c1fa0)
+,S(27c53f29,61b70480,93e24b18,eb357807,a33e5411,15215337,3b98f80d,d23a4870,5a3f4b8d,e18636c4,71fc70e5,9ac8c4e4,703fa5fa,880594fe,2f3b888b,da575601)
+,S(921927e3,7a115f9a,12a616ba,cf55c213,22ed51a3,e75caa5b,eaccce75,de59b68f,bdbb7c7b,c1e4c5b5,98afb590,6263d779,55884e71,17864ae2,e0636c4d,727b141)
+,S(973b3c87,6eb81ffd,677c692c,ae432751,efb3e609,1a3d9ff8,dde6cd6e,3f3ea8c2,340df771,129510b,a4112c5d,adbcecd9,8684b0ae,3a9683b8,49aebdd9,57bbb0ed)
+,S(20b817de,f0533767,9938ef03,69204700,d5972c32,12656ce4,205e9ac,1b01ae71,2ae2fe5b,e2daa016,1c65c352,94a0abc5,c6b1ce64,fea99c12,34a14aa8,8395707b)
+,S(63e2544f,7a7e9181,7a347b7,f72eb43d,ca9fc5d6,3d931402,aa6889b4,a3c95876,e62aee6d,20d714ce,5cdf52,18bd5fae,adf49cb1,f86e6067,f91cad71,280d16b1)
+,S(2f90de10,71508cf0,b3583abf,c47d762d,a69dd472,e4183421,6ac39753,e22aeb80,5371bebd,4a0dd74,625e5e02,5a118488,880f3a89,9c23e64b,76193abd,3788d389)
+,S(8d423ce8,faa96d05,45e37cf7,5e5a351f,7c9359c2,ad1c48a,c9adcf29,d2ed7209,83d4b83d,ee76c401,a18df794,8a655c3f,bb9d23c1,5ac0bd6e,ea80b129,bab40f2)
+,S(12fa4142,5e028aff,303111a2,9144242,a9c91d88,55b3ea3,becec110,80181efd,6b95b370,8e792b57,ac10eddb,362eb10f,ee5c3b8b,b2e37d4d,c4d2ac40,e8c3ff57)
+,S(923ca95f,2a3bdd7c,d7505632,cdf2d730,ce70196f,ffd0cbbf,f8347882,8a706f73,f8b0c866,c39b6173,b383983b,210cfff3,1903afdb,cad0b2ee,3e541ab5,2746abbc)
+,S(844d53e,878240e9,63e3875a,728f4704,64ce3aa1,66209776,a869e0d6,88893646,c60cd291,92bf8c1f,f98c47b4,a713bc75,1c84f9c7,19fb32b2,5b855e73,6feeaca1)
+,S(43786fd6,c5471d8d,ba277ff8,1005a5df,8838299f,66636b2a,65e7ac21,f1dc98f3,d292a2c2,9c8c5bbd,8f79109c,b8706fe7,745ff884,f98c127e,9142f52a,56091b51)
+,S(6d1bc28d,f5e9ecf6,38783f71,fb98a2ce,bb0dec45,8b07257c,e94736dc,ae36d7ab,c2c54192,bfd80447,86214cf7,a28108dc,e2c00e07,2321638d,a0e80023,88d549e6)
+,S(6bc4ef34,7f74ce3c,2ef3f89c,c3e265d5,6c742ccc,ff84b7f6,7d8956ab,16ff86c6,eb4492fd,2d2ab04f,1276be35,c6bde62d,be26a6e4,60c5c66b,8b0fccf1,79b46408)
+,S(6af45075,fa810958,d42a756e,d08d5c,d67a62b,cb33cddc,b35fa99b,bf678b38,adbb724f,e7682c7,678ffc3f,ab738666,886c7b93,84960bfd,5287ff9f,ba5bff28)
+,S(eb6d8b76,36466365,a96f49cd,355b7460,939f340f,905ad1ca,a24e8a66,55260600,7ae9cefd,aea30b7f,b9ba11ff,603b81d2,41f7a187,33f95c3,3c2bae0d,7fbea3cd)
+,S(bd0c2233,2fef7d3f,6738dd69,4bad4cf5,b34d5e9b,ad6500af,11e4575e,91795068,eaba5c4e,2ea0b21c,a9100b6,66823a4d,a91c4d57,3aa9d136,76f820be,9d1cf209)
+,S(c5e23bbd,c5049419,3483e083,14249157,aa56d9f,804374b5,54c9879,52b7e392,4caeb8cb,f684217f,bfdcd02e,3aa4ae3f,8d59e766,855b4fe2,f7f8ac7a,6e597751)
+,S(b5717631,f3aaab92,5543edb0,3d21c604,17178e98,dea38bd8,10867cf8,8c92d2a3,e74209cc,324a9ef,8b31874,524dbab4,d2bdf0ac,8f1d20e9,a02409f2,8c11942a)
+,S(9c456099,49601f2f,caca85d5,d30a07e1,b2d17b7c,7b838cca,2fe4b5e9,5d305cfc,2d7a1540,a109dc7c,2841b61b,31e50078,329273c3,585c8674,674ee06e,ff04eeb6)
+,S(52ae2946,c0ab36c4,a8aff175,73b6604b,e33dae5d,73228d54,98c77a51,8aa82f63,70e23d9b,66061bfa,4d03f899,b65493f2,7179f5c8,643104d,24dd771c,777f87b4)
+,S(149ec3bf,55ff462d,dc1ba490,384081e9,89db9ac2,c29efdce,f4f59f0a,394adf9,59c1d88,b91db942,2ae8fbc7,ce6951c8,49642b5c,df949801,341a8bc1,789dd7af)
+,S(aff89294,d66718dd,dff83534,61538da3,dbe14a09,c14d0576,8a163810,42ea7ea7,71866beb,cf5887a5,ece2352a,cbc256dd,7b615491,2a88cbb9,a924e764,4d59266b)
+,S(de44f478,2cb30472,ad52d49b,303e2b41,33887eb7,38e2ab78,da7bb406,584e76fc,6798ad84,25bad82c,57c630d,7ac8ef21,b13d08fa,830edda7,eefd23c9,ce482bf5)
+,S(e0bc7a73,76169366,c172c88b,e1ba02c6,b3a380eb,2894e134,5a2ec7c7,39682e61,bd147eb9,33b18fe8,dfe7c0ec,87b7e993,5ad1f7c2,ab5424d3,c23609cd,262cb2e0)
+,S(5ee34f27,2af69f33,9473cfa7,a536a22,ed26139a,71cfbb11,27c7a476,32f0e6d,c1df8f96,dc0d4d82,f6a57de9,85cdefc5,1316bf10,dc3636cb,80762aea,c4e13b8c)
+,S(4dca3bc1,77fa7a63,9b8c274d,fe157d7b,67296846,bed5d13a,68bce5e8,e599a0f2,8fd2b558,36fb9aeb,fdb3fd75,8f59c8e9,2fb48968,52eff2a1,d01c32c5,3d2fb234)
+,S(554f6bc1,87560290,ef9ed937,3e993f54,98081034,a03484f5,bc184751,f8b48136,b454c3b7,dfd512a3,517834e0,e8c3f50f,de80863a,1e0fd83d,2064a6bc,a172b26a)
+,S(95a81b50,a6c0879a,6a960b2e,162dc22e,955af87c,b539eba4,20b2825b,85592ad4,be55e8c4,dfed22d1,f5872b75,f38aa4c3,7c7d5086,f67011af,2651ab0c,c45c712)
+,S(907b6d53,9e496a6e,358d14d3,431f5582,44a4f8a6,ea291d85,3efb8be7,477e5c4d,b3d3d694,3853bb9e,67817fad,1dd7d1d5,ff33e200,2922665c,21f872e4,77150eac)
+,S(8527c81b,b342576f,67737cb2,33f17605,c8884c64,6b7a8357,5bcccc09,c7f17aa6,b6d675bc,db8d5249,57b1930c,145777f1,9cd47b9d,33386a64,5044e8f5,877604fc)
+,S(8e1e3a7d,5a320d92,4ea13436,f906e9b,bc6bf83a,819b9e9f,913974e2,efab00ec,d94f03ab,d81d5f25,c323dad4,ea792c50,792e07c,79281c4a,ff309e0f,f418b0b9)
+,S(fc02cb93,be1f4a8d,9acbd86,bc68cb6a,dd0d8949,5cc7434d,72cfab75,519a8d76,71f7a532,729e45c5,98a6ceb0,885a256e,ffe4cd9d,967e84e9,8b73c772,7e4d4f94)
+,S(cf981302,a2858b3b,b1ac44db,4f08751b,ff76357f,9b2ed6af,80a289b1,be6e7b8,237e9c12,bf23666e,70205ded,984f1fa2,f1a8a828,b88847ba,d3a1be88,8d73b528)
+,S(3e6e45dc,1408e920,3ca74cbb,ac8d50cf,71718d1e,ba05228,e97dc4be,a8231d82,2e3fdb7a,2ad3a805,f61f287c,a7ef86df,961009e1,f0fde8a3,14774677,3b1ef848)
+,S(bb047795,7581471,10809088,8119b0ee,3ce1b2b2,df2668b3,749b9eda,707d4657,95a72efc,5f95f3a6,af5ad697,7dbeeed2,8d6ee55b,fce29bc1,bc439168,75c67587)
+,S(4e015d42,b8b02c10,4aba3103,4ce04cb5,fe356d,81291939,3f5d1b9,68dd6748,d35b20e7,dfbf6d71,d94e96ff,c9267422,746419fa,811bcd2d,d3942c00,70a870fb)
+,S(609a4c57,90c8b210,9eb7391b,d68d078e,70850af2,410df867,92a37459,24a49daf,f3a6327e,bc965b3a,581cb14e,78a4390b,14431d00,d1f34e8a,e35502f,bad0e98)
+,S(ccbe0736,2a955ac0,4e1b7558,a17ecf61,b9ea0761,305b4aa1,780bab03,a27fc730,f96b7c16,6c98a1d7,65ea4e3a,e0643298,d981a012,4b03fabb,71fc47f9,1c92cd3b)
+,S(6ed60282,85df2302,e6b10ef9,4e11ce0,9143c569,a84388c3,e2151c69,c3ccab14,675ea3b0,687a3b78,e8fc7564,9665e62f,e91b0d1c,25852608,1d591ea5,1ad196e7)
+,S(bdff05cb,a0cca14c,55b3c592,38515532,70806177,443dac7f,4c07ff69,cb49d8e0,5149ad04,86cd8ecc,274a7239,833910f,f09d7993,aaac9798,1dd106da,6e0c9a50)
+,S(64ce68c,cc70325b,22be5366,579aed1c,af9f6e55,c2c7386e,ed579911,4e2bff2b,f8c89976,3c8a9a0e,ef61dddf,2213cbba,11bf1be1,eab6506b,d596aede,45cb1cae)
+,S(cd42e46f,489150f3,dcaf3c06,e1e5a2f6,b40de7f5,626107ed,af01471a,18ab2bb4,d9c250dd,d2026967,b4c921f4,e253a788,17f11f89,f679e5c2,81dfda0a,1bcfada)
+,S(f7c29007,e7145420,e2da7e8e,3ec4daea,5e9b121c,35c4ec43,59d55f01,89619735,66451406,4dbda93e,637735a5,6a06ddb0,5ea2933a,36cfa3dd,c2ba4a33,eba493b7)
+,S(6339c1e1,d4944856,26b3d221,4715835c,377609d2,d91150f2,c5c1f679,5e93b7a8,efbe6dea,47b4e8f7,ff55a20d,8facb8c1,d10a6960,98762d95,be532fc7,3ed59b28)
+,S(fccf1f13,7d22ed06,5f4bbcf1,e9f4eb86,7b1ec78,d9f40b4d,aaf58014,3489b37b,a5a77c2f,ef9facc3,881559d9,d9756b4d,6646beaf,21b3511c,64a4b550,7dbf3e10)
+,S(da97ff10,6f284ec,f123b554,17bc8f5c,a13434d7,58ec3d4e,935c1600,404f62d2,65c2168b,4900330d,f2f1e3d1,cd8ab92a,4f308222,881a493c,f8b301cc,af12e168)
+,S(6676a4d5,428a24ce,36957556,c1b44593,343ab6f2,21f0b9bd,dce2d898,333e4fd8,45bddca4,b9332535,f5f4d3d8,3467d793,b7afcf58,45a19593,854b1c5f,3daf7b41)
+,S(791e6abe,cf461420,54a22c7c,d3deea41,53396e7a,2a619ccd,30212ade,e57859ca,e4033bfd,8c55c93,ec732990,aff43ecb,e2ec07dd,17e4ec92,68a7b0cc,fadd37a1)
+,S(3a7c7bb2,d5181550,a78985aa,84b73246,c66dd947,4bd7c5ae,20717f31,af0018a1,2388eb17,e03cedc5,221f732a,9e505f8a,b6c38d25,184afd14,37b52d45,fe9d7459)
+,S(249a2db1,86801c96,9cbca936,101381d7,62b74017,2b454c3b,ef720bc5,413ab999,da185c41,76aa91c1,d783cf9c,85c075e8,2f708e0b,3ec930cf,f71897b5,d1d5e7a3)
+,S(b25e0d53,b4e0cc09,985f21e0,c5655e50,32c0857f,b792b136,14da6885,6b4f8590,1bd17aff,6b02e3ac,e1cfac42,fd28d837,ac5b80,42b21055,d6b84e67,5d83eda2)
+,S(73605368,5e83388,a869db66,f110243e,bd1073f7,517fecd6,1359eab,b7862fcd,e9c7a02d,842c5a6,fa43407,6e12d41f,e767fae5,5a75e913,d6912536,6d5f9d56)
+,S(ec2f0b56,71392e97,2f8a0c9,af259d42,2e5b52da,5e70fff9,7115c961,77f1b1d9,47f7debb,adb24e59,c8571fa,98e56d32,d49e072b,4fdec818,2049498e,908183a8)
+,S(7d7a8fa8,250dd43a,91a2ad2f,320e18c1,afc25595,213778e5,cbfa6058,4be2d378,6b48ba16,89627d77,2700f11,9bc20d7,fab2b07a,413f752e,2a0e111,60fea3be)
+,S(316a71ce,52b6723b,a67aaa01,e26082c6,6e59490,cff4c366,5c695ff,aa6713d7,d6f1c1a0,7820c612,12b44cf6,e5cb4ba1,84152ffd,cf82e020,e95af73,d6a1cb9e)
+,S(21a2a8c3,ade89ff,c32e5fc6,ead97a22,9ace8857,11db9930,ade6e72a,9fbcca51,95fd3d04,38df517b,5712aafb,432f0e35,726fd438,a2b941e4,7c56c1cf,8882e4d0)
+,S(3f181867,b3ad8170,dad46c68,f513afae,1ad2cfde,41f9535,5369ec32,728f94d5,a51a94e4,e9f20eaa,d5599189,4222ab0d,91abb8f0,38b00a91,5f09df10,a2317527)
+,S(e9673139,11be39bc,f11ecb9b,690ecfb4,79b7aa6d,3158ea69,7d0092f0,89f63c1e,c100cf7,6f8783e3,8de2017c,32022a0,da9be6e8,61307546,1f98142d,4903abc2)
+,S(61ea8ab0,1407ac7e,547e94b0,6f3986c6,d3096d43,2bd08cd8,61554fae,9008b122,e5c55bcc,a6f713a9,76490488,e69f1cee,150167f4,283fa792,a105ca8f,f4a4d182)
+,S(ad8fae7a,17457fdd,9f481554,239a3f1,49673df7,24a3a402,cab73f93,bedab9fe,53b7dfef,7966c4bb,bb01d037,12563f79,48517220,2ed375d4,d777efef,50f03e6b)
+,S(8605cedf,bf7f2e54,d3f62f27,44d9d436,cdf9974c,9190020c,586818bd,b6a829d3,5af8a55f,ca2aa1a,6209fe4d,a7708ff6,e7a33df0,50e85873,d786f54b,7d946b88)
+,S(bdde544b,465b9ef4,7dcffa5a,7a794cf9,6e83253c,2f22d4c8,cbcd2d6c,ff921d87,6c536367,7ba867f5,5ede7d23,81be6ab,ec97c8d,f88a1a74,14ebd6ce,8caadcd8)
+,S(31882a45,e8b088dc,93eeafca,85c28f49,62a47bd2,bad916bb,fe3e7346,32fe1cdb,b3588f0,c5f86e1e,12ab833c,12e028c9,d03557a9,e02aa1a6,fd11d693,55f176bc)
+,S(17be4052,45800f9e,db510b72,603b8e63,e49fadbd,62798883,b0d04f76,a5dc1202,1504ebdc,df8855ae,28f7738,e40d277d,81667e55,a2f59cb9,c9e33a4b,8d32fc54)
+,S(c633bd33,bb697d2a,6bfc4e69,707f2b28,a303eaf5,a601b08c,9c56afad,cb629537,86e3f413,2d4764db,f2c06b92,461c64f3,9f3b7f78,33139eac,2b4d59b7,ba18cef8)
+,S(f39e208a,f4c710f7,190881f3,a33cd113,633434b6,3b460062,570618f5,8260bb52,90c56805,807b36f6,272e2b66,4d943c33,d0171ee3,ba5cd4e2,bfe52f92,b9e2e62c)
+,S(ce984394,14f29607,a54ddfb3,72db8ac5,ee4e5414,f59f73db,89360232,f4a16c54,1a4805a1,d1057b13,c72f7835,4d40ae96,bb80542d,ba5ebd7f,627cfbae,ba24e0d7)
+,S(5266e79f,81107a4f,ba571af1,885d755,94504122,a15a673f,6257f633,bb0a76bb,5e7ad1d0,9cc85f12,8773ca39,77b55c20,18d38200,fb739918,d3b0fc96,a559b457)
+,S(4fb9de57,63f47aa3,bf370113,c778bc8b,67507009,5126f5c1,1ffc158f,be7056e4,2cd97636,8eec7197,aa2fa34,72fe3db2,29fe0275,8789d75e,52e87553,1486f7ef)
+,S(ad168024,a99eddbd,aabec840,6158cb92,4ae7bba8,d233745b,ded57407,23cc0226,ab105015,968e4673,8ede230b,b53c4be6,9ee6386b,91ee03cb,a21f7040,f14095de)
+,S(55829ae,f7cc555b,733aea9b,f1b307d,277923ba,148ba8d5,5a7c8001,73719cb8,6a7b2eeb,9c9b9585,5403b47d,6c60a7bc,382969f6,c4bafd3d,3c4f09a7,63267689)
+,S(2119f233,8efa4e0e,2204bbe7,84e9de01,4e1e4c43,450d5910,960ebc38,6b78b935,9f219dc3,778544c6,7a337db9,69c513a8,52acb469,34a71957,11c36913,b8e7bb93)
+,S(11fc3e1b,9491be9,d7de53ca,a2558d36,c5227498,3f5c1b32,57f0fe5b,b1295bbf,1c69c74d,ecb05933,6aa6b6c0,231105ad,91b8d188,d109ced6,2198c528,844cf6f5)
+,S(34b6ce6f,ea6e5143,95091bc8,67e606ad,5e64ac18,99085821,80abea3b,dfd2a908,5b6ed904,f4bdbef3,fb9e41a1,32c7a313,28e9f325,4e180694,40339642,2bccad6d)
+,S(6c225dca,b45768ab,3b1c567d,97ef745c,b326fb3d,2db6ae2e,22a40c95,3610a84c,7e85d752,2180fd8c,ebf63cfa,2d843bdb,912fe042,d00ea29c,d72fd768,402a1084)
+,S(5f776e5,41dd95c2,32fcc757,14b688b,cbfd2020,e7043e3,2a707144,5a8ed7d7,3b8c5c78,fc6d8354,3a09de0b,9a64d529,c116803f,6d0d62ff,2a20b369,8b273c0e)
+,S(3e26d8c5,531543ef,5e37eaa6,3244faa5,d5371e48,16fd94e9,b8bbd932,891b0e23,30a09d1b,43a4a036,ee1a53bc,6c3ebfa,a5b4c70f,6d8af4b0,c70faabe,b79bb65)
+,S(c634da91,c17a3568,aaa970ac,26553e45,6be8afb,ee12c85e,8aa0dabf,f18b36af,649681ba,e1390a7b,d05d34bd,98d87ed4,16eb9f99,c606f46d,6d522019,f1a925f0)
+,S(ed335d6,4d643598,c6eab4ee,fc242d7e,4e8361b3,ac8d747e,806962df,2e7e9a7e,f0e7c3f8,19c97aa7,2334b690,98f28bee,5a1552e7,f578d5e1,eb56b600,fcaa93e7)
+,S(d37f8c09,411359ec,3f63dbf2,2870ffb2,d10be164,7553f28e,d72d9585,1e521581,da7cbfb9,ba3ae036,72df1be7,56d3c9be,831467d4,cbe3b51a,191e47b4,9d1f1922)
+,S(ee3121d7,c7475ea5,c3aae061,1c6b420c,5b32d05,ee86f919,43c3352e,7515c360,703b2e37,97bea3b2,9b447411,dad7b12d,b809164a,ba690281,b76f245b,bc4c1686)
+,S(7b42c9bc,5c2b114e,a0ef1a59,492a6132,3f5c7290,427572b5,fe98017d,1987a12b,5cf76382,e85b73d7,56fcd92a,99242725,dd57edde,30ddd9c9,dc7dcd95,260d27da)
+,S(9af5ff9a,b13a53a2,93f9b6b9,a0f925d4,7c8f9b84,5f6933c3,ad074922,f8a555cd,ca93ec9e,89954734,c8aa13fa,5908c855,13a9ec19,6417042c,a336f1fa,be5d4153)
+,S(5ebfa274,1a2df1b,6e1d591,f70983dc,a5b2b850,856bd7b6,59c81877,3848dacc,b0adcb9,6ac23c64,2904c15e,822991e8,46e12411,f472e0fb,5fb69fc7,a0f7ad18)
+,S(93b58d08,465e5eac,8518382b,c1f6ebec,daeb486,7da65dd3,ac125e6c,fcc81e6f,54be8918,c3151784,d74646c3,6bca9c8b,8a50b8d8,63b1db8c,f4fb3ef5,1a24a4e7)
+,S(a28a579b,4fb46474,ffc943ee,32b40664,5bc86899,edaa111,32c31f1d,cb6fc858,40ee91a3,d5625648,196605f,f650ab7,6e059b14,faef6396,46c9b153,9af14670)
+,S(e987909,781d5560,b71f6029,750d20ad,add7cb47,f90c9078,e8de5f2a,d606ac9a,7121ac3,4c80dacf,ffea346f,5c5e1a81,c55318de,ac8cc907,10274f18,ee9819d2)
+,S(291ff11d,158780d7,fc0ee62a,e395456e,5c84bca9,75e84a7d,1d2b3bf4,61e1dcef,c5c8cbe8,abb6854b,670298ce,8224a945,71e79e37,9335acee,c230366a,53ec2616)
+,S(4adb1390,9e28b53e,42bd9e57,373aa131,efda7d16,b8dffd82,4bd9803e,fde315b4,66d7eb12,b827ae7c,970a796e,5c0c99b1,24eb7002,4fde63ee,fa2ecdf5,d4b1456a)
+,S(55e25f4b,95240efd,e3c7e47b,2254601e,1707a8d,e40bf384,6b3a7024,da7591ff,e9f2257b,7e98606d,743000b3,72dcba0b,e4491ae3,22e82266,4b1e2b5b,78c830c2)
+,S(d24e7493,e41dfc32,be7a6d8d,5463834d,388ddd01,8c213ad8,aa3005b1,fa747eca,e73a8216,a51b4b16,5e9f5bee,414d49f2,6d7feba0,982b9e93,fc4b7863,48c26cac)
+,S(a510b252,6d015da1,cb7e4600,3ed61af7,caa03562,19227d9,ed8eea13,61fd8b2a,3d98c2a0,9015abba,63eb15a2,80c6c479,eaa2b2f2,a0011adc,3565d2f3,8abea726)
+,S(c04d04d8,127500d5,15bac63c,ca55d76c,8404cde6,fe681f4f,6b8c2b48,87b314d1,cb3fcd77,9fb80eba,99cdb937,31bc0814,e3cd4458,df7fee1b,98c4067a,db4d9d59)
+,S(ec9c7c61,146c3357,ba851e69,18ffa770,6b5dd2ff,a789245a,df70f90,eebd0649,9a09d3fa,10ca6923,c068803c,e9161923,b36b0709,b12627a4,dafd0e3d,3d186170)
+,S(95df5d3f,5d504c45,f4b7e840,3805e54b,b2598511,2ca53064,baced58,a0488cc,a43dcd85,89b85305,b07d1ef3,23eb305a,35079cdb,743dcc21,c7a6ad48,4ce8ecc6)
+,S(b8eece0c,3a950c52,c46bf50e,b5dff949,2fc8ec4d,6bb19651,c72d447,633a6d16,74e942a3,1b75bf83,ba6c1460,d969a2c2,4a49572c,ce3fb84b,8d0b08e1,d5583744)
+,S(599ece16,d1f69c22,53deac51,75121ea0,c82b2d77,c5e2c0ba,520bf1c,72dd09a2,48a10c3,25af3d0e,dd8e2e72,5d7baf48,b2fdb672,66423859,9f73d231,a911bb14)
+,S(b8ba5a06,8d9458a9,6e2fdfaa,961acd80,7fff711b,bba4e3bc,35a5fcdf,e82ab32,8035ab22,7554582e,9038845,44d32a53,c2d82417,6e2ac7e3,2d44cecc,50f8ca4d)
+,S(b6846be1,cccd7865,e56d3d7a,f1b1fff3,ae806380,a1710c50,8c35ed17,227e65f4,bbdb7025,32945f0a,de989f52,68230763,361ee9d4,9c0e6241,77fe6fb6,cbc7201)
+,S(a1ffa65e,69872bbe,ed009e53,f846d9a1,20dd31b3,a11932ff,c3580ff8,da9d0fe,aa32e580,d5763bf9,dd054999,68b6ba6f,31c210cb,26846ada,dc0045b1,ceda215b)
+,S(9b38176d,67091c7d,f448c707,80cef08a,2ad73cd6,de65eebe,b62f9a21,730d0fa2,22d26b19,c0fb9b7e,f1ec86ba,b8ff5996,64a45988,190499d2,6fb604ed,4e609207)
+,S(bc2ccc9e,209dc64f,bb132553,bdab43fa,accfa4d,7deac898,1fa52841,35fd0cd2,47366adc,176ff88b,674931b,a8791fbd,350d1d13,71891343,74d58305,a55ccfa6)
+,S(1ce000a1,65452a62,5d036f51,4fbd2a30,d4518734,e7f93aa6,7a7dcd7,24730f6a,e09103fb,5b90f0ed,54b34baf,3e3d5bf3,fa288acd,b6b0ec19,ee3062af,35c6811d)
+,S(846c569a,887d64c0,e8fb26a4,49c62447,4cc63d68,4da0909d,63dcdd0a,dde0031f,547753,132c9f98,d7facf93,d4ff0416,7dcbe44,77987be4,7df408c6,fa12c07e)
+,S(6365a8f7,28656e23,c9c58518,5686b18b,701f7b1f,54c84b82,f5c81ea5,74fe59e9,8c7cddfd,a992e53c,ad151d46,c9cc0b3d,be27f2b5,7ffcc23f,c8d9cfa7,eb16c2eb)
+,S(ed425f3c,89ae3d8d,97972619,55e8fd17,71dc5bf5,98c5237f,bd267f80,7d2939fc,4226abdc,14f7a03b,cd7285fd,19cf14f6,10c98d0,6e3c1d74,daffd602,99a3590b)
+,S(cda5246c,2e1b7ebe,8d667f23,5ae310be,85a0bd7a,2e903d56,62a6dca3,971f00c7,791ef296,f8ea9b34,918534ba,318a4fea,96b2c2f3,21e6d3f6,eae8248b,29247f56)
+,S(b42a84e6,ce79c1e1,bedd3f7e,596a11c2,f5017d98,386fbbc6,f906a5a3,f4eaf99e,2e722cc9,60bb3718,36ffad5e,47509fcb,cc3d0601,70b02610,823fa40e,d407e6ac)
+,S(358be08c,e1e2e9bc,b43149df,58700875,be23cad0,ba8524c1,6d46a01f,ab0bcf90,f3c4fef0,70baaccc,f64fe0bf,b6f5111b,462318a6,36489b00,34f05c44,1f9d1308)
+,S(3ed6435d,e5b36230,a4f74bfe,14571041,427d16f7,9b433ac9,85c9e135,6016a789,1c72e85e,142743d2,b5be677e,352d3dff,ee0dc56d,5aa56d91,4b92762,6041f26f)
+,S(249f7e2c,580dda16,5940d7e2,672176f4,afb7e50,b9250610,c253d9e6,2416c910,6fc16311,49e9916e,8f70f842,3dcde36e,1630f508,79e96e48,6dc7147b,3aa9f50c)
+,S(97b3b144,e8381ba3,1b0f6f0b,752cbf91,14d2d76f,6f418d4c,69f0de6e,c89cc85f,67c9bd30,33b720b5,a1449257,f1de85a,f7282260,9e411dc2,1820444d,c988724f)
+,S(3b38459e,868b2912,51d0fcaf,41245087,80610d0e,395e9b68,cfaeef1a,5f395a85,be5180dd,bfde7454,c78cc9a2,b77245eb,91ec4c25,9b17e3a3,c3e8e49d,5225ce6f)
+,S(4e6f1790,9f33e08a,914974f4,48270fd0,74fb35d1,49a017ef,c54fe21c,96163ebf,fb6578f,6f47156,5b6d3491,3a9a5e4c,dcd2880,d774e6a3,e56cd078,e6b9fd15)
+,S(9141ac63,e408937d,7425a0a6,70a2565e,72e301b7,75619a92,18db32da,315c75de,d35e290a,56bec3e1,3cc55e72,12aa57db,f10b34df,bd7847a0,5de91c4f,546d6045)
+,S(ec9b73ca,72052751,565c006a,4fc9200,337c9162,88eddaa2,e212c611,395ba578,37e11ef5,c1a22e77,38d5f3ab,4c74e2f1,ba192275,4c4e7905,1b15010f,3c224887)
+,S(56fc14e1,bb1a928f,ce0430b1,feaac6e5,aef50208,be530d7e,f0f5b81a,ce1caca3,4e5a6084,f8680d07,9f3101d7,a80f452b,b05e597c,c38d9865,f6d7f307,90209001)
+,S(aecd741b,2cebd4cc,82b7c362,70f1b22c,cf3997c3,f180e1e4,d803a89a,657df731,5f104b33,6c0df49f,1936356e,8dd09b3a,256bd317,afffd4d,8ccc57e7,f90b8e21)
+,S(516267af,54f83d52,24a22b9a,4309e9eb,9b5c1072,31c3ff0d,418f8bd4,15836cb8,4187389b,9e062c17,f4ef6fd5,4b6b8439,cc37e85d,8a3db13d,86592098,7befe4fc)
+,S(68bbeabd,8d3f4473,f91a0368,7383b4ff,6e7658dc,6e1287e7,f258f543,2466fed5,cf63c80f,ac99b42,7a67f7cc,d978d5b0,8656fc7a,6a383c27,48635ad,97049c4)
+,S(20ce22ab,69467e9b,51d59213,8b52c1e4,49ba908f,909658a2,b90dbeb5,b07b67be,562da07d,9f4173f6,9232d17e,49ba2c17,31649ff1,4a9dcc3e,68f20dd2,de97ce2d)
+,S(b5b7d6d3,a4a59f92,3afc1ec6,a5215786,9c86cd90,7ff80b07,d04160ac,6e798f78,d05e32c9,775125ee,dbc55af,4d1597b4,45b5eaba,5bbf6dbc,b8ef3e79,fe9d4de5)
+,S(955bd489,7a4280b1,5de3d848,f75f6dba,3967e593,6b077d4a,cdc4c30a,33f45df4,4bbeb7cb,5d79991c,ef3b9fe5,bf25dc01,6448261b,44b156b2,749f9734,3d453a02)
+,S(9f60e951,98e7370e,b3c02fe1,8bf53735,50fee849,9c876211,201e47f8,660a5a98,6395aaa9,33ed5866,a02570f5,9321d89b,c865a7ea,62e28a6a,3a62c4fa,4cd613cc)
+,S(7081f0b6,f5923d0d,be4041c7,589a7100,9c2b6459,a255468,999f2d4e,50d776ee,9cb60005,e067019e,93aec9c9,1bf28b4a,27f3f0a3,288c4758,403a9ff7,668f9fc9)
+,S(e290180,d8d5a7c,1b0e982a,bd63ef9a,b607d605,87e663ff,fb0ab73b,3369561f,462776fe,77289a4a,250ccc7b,80b54e51,993f741a,14299f78,61b88d17,d4d924f7)
+,S(8aea7328,b285bd5e,b63d5939,c5c8c6b4,ac254cdf,c42cb521,2f4c5643,58598bfb,b682da77,4fc55ff,eb4a559a,8ca0580a,13819aee,990d9e22,8e0192f8,9568ec2)
+,S(e9d108b2,54b24b57,ea4fc287,45865c09,27302d7a,1dfe90fe,b3a17906,2f256e68,fff7274,6d29d9fb,e7b0fc0b,1af14365,8d0ba69a,a45a72c4,8f67b939,aba128d0)
+,S(9ea1f93d,1f317e61,786d4909,429e4cc8,b81f2914,17d28913,6d886b86,adba0fee,231dff25,d3b0b351,6e63ba6a,afdee115,975a5c00,b95936e4,5d9c6be4,6980ec0a)
+,S(e8a12415,e5fabbee,7cd687c,43e8d530,80701d01,85980c5,7181b68d,481e7a0d,dd69839c,e263e746,99462f18,58745727,ac53bf2,2e0385dd,5d6a21b9,922f62c6)
+,S(e287f3ba,ae486145,a1c2e04c,7f6d5c1a,ed796840,27636cef,b4446ff3,6c3def2,9395413d,401db0ea,4ec53bae,ff215580,5bcfbe8e,7e6bd6e0,be5b9fbf,9d968c63)
+,S(8f99f79c,ec205ab0,e79756eb,a14c8e7d,fb23e232,6ab77927,641960dd,56ad1194,805953e6,15cc6d6e,2f61b0da,389b24bc,89cbff4f,c9f0ade8,c5dfff99,e819a2ea)
+,S(9c87ab6a,8cb723ad,e0cdfb59,e5a1ff6d,3adb63d4,7af33e14,c6b3c343,c766f586,74798122,7a3bd79e,7d5012cb,bc81cff7,6a3699e3,75874200,4edc6e8a,a965bb19)
+,S(c52c8608,6f245de4,baa10b7,fb512ff4,6042bd50,7d88bc3e,c75ec75d,d99dc00a,e8c2813a,bae8b8bd,9c8762d8,37d42fe7,85e5406c,5fb5cc2,ca05ae03,4ab3f844)
+,S(b6286e1,94d5be25,9a79c6b6,ebd634ac,dd7c3fd,66ab0de,d8d4e160,ba8dafb2,72ec2ea8,ee0bf270,777cdf7b,47991524,27eaaf24,2a0334aa,18b3855a,899b5910)
+,S(df7b56f2,45f2f8b,7213792e,370ca89a,45c648a0,5f3ba4ce,8c5d6d34,2f086b6d,386ced48,3850bdcf,4209fc90,d039b96d,39ac18cd,5d97ecb4,3df23ae6,1596ab4a)
+,S(2acf4c9f,4cd42357,3e9110ed,a64aab59,459b2b37,675e420f,48ecd068,6d46a3b0,5f1a5829,aea5e981,cddff9bb,d2521ffa,58b37baf,9544c0cf,f622857d,5a2cc579)
+,S(bfaf95aa,eb55d378,7210033d,b352372e,6a64f2ac,a420b877,586b684d,9cd33f36,7d22bb13,bb61e76e,2a2fce3e,bbf9ec83,78c6ed2e,5f143b0f,60803cda,b0a3d8ee)
+,S(78cdd360,4eaba890,da793c9e,f589cca5,faacb6a9,14a29f6a,6add7d8d,74f31421,ed7e9c15,5b801d1,16b0d60e,fb5e2287,76430c8e,faff4bfd,327a38dc,ea19a634)
+,S(f2ebcfa9,50a391f,c7b97713,566a8a49,edb8944c,7cb68276,d9843c22,8d213d2e,b1c7630d,956f9f13,c53a180c,569d534f,9513d16,4f3dd900,bb3f5e78,b0fa4eaa)
+,S(43cd60d,83bfcbb3,cc19943,34552eae,857593aa,e8158adf,ca850b9d,1aaf4c2b,ff64bab1,f721e6b,9e23d659,224998cd,996230c,4fccd302,47e9e110,607e8f62)
+,S(41925ce0,c01a49dd,7be0c3a3,b27f13b7,2168dfb,a5ec1315,f9209709,f38ea93c,5346b95e,cb6a0ac0,1a2f49c1,9b02d9a9,a725a676,f144ac26,c48f0d8b,94f77110)
+,S(fd231210,6c762d82,a851bb47,8d0ee0d8,fa1c232,7e26feee,3e6ece5b,323877e5,39763316,f5a6ece8,baf748d6,234eedc1,4bf33462,1db3e66e,7eb2fab4,f96fa162)
+,S(fe3e8a98,cb7abe1f,36a54a0a,a3d1c9f,d5ad684b,d05cb2,6ea683d8,f4556ef7,7d220677,34d80663,a1ff05f9,bad5a648,837b4475,abe0746c,3fa940e0,4f1223bf)
+,S(e602a764,ae0d1bdc,4c3f9b1d,271717db,38232e94,84181ab6,9ba8eb73,4f5ec5dd,ad1038aa,26268b10,2c1f951,6b77b482,8bc9bef5,7b483450,d513e6f4,cc916fdb)
+,S(871895cf,adb772d9,719cd962,5dd391b,3218142d,364764e,eb0bc6ff,8d81e086,49a09064,f7916421,9d51ef56,53861350,dda2c9ca,4e6269cb,555c8996,3f37722e)
+,S(e229d56e,77755805,c814ec27,8fbcc56e,8ed4ec4f,4c14907f,4ab3a0e0,fa7e4b4,cdb07ebd,66d68055,bed7a46b,63ceaea8,6d42659a,ae6ebce5,795ab908,14e48af2)
+,S(5535f85,6b0cc868,88ca3118,9d20d68f,471066af,a70addd6,ca4a9537,68bbf8ed,8655c844,245e2a67,8427822f,ac3206a1,f6f52953,4f7a6c29,6ab4825b,770ac5e8)
+,S(10657905,4b37ce9a,e240d78e,3d1066c,b8c48d21,fb7130c,dd35ee5,24767ad6,52836b7a,508a6190,28eb013,c0355f70,4393a5af,e133abe2,e8b81dd4,83e125f5)
+,S(3366b207,2521d023,99e9e311,e3447778,e796db0c,87428e4b,e6cb0ff3,a0868c1c,ec6022a4,22a8dd2c,a7f2f15d,39998394,ac908c64,74a34ae3,255a28d,4311638c)
+,S(4a789396,339be46c,73608a1f,59fdb41e,91bd0164,66417332,f2630316,b5953ca,d45b657f,615aad45,809c0af8,4eb8618d,6e6e0346,ae1ba101,3a123ef9,e5b4c442)
+,S(ee4f2484,fa0a9c7f,dc0c64ad,4df60628,d75d70b5,7ab9f0fc,ae9947e3,89f1302e,52b77894,d8ecdfae,df7dbd0d,8dab74a3,4092073f,47a543cb,f81ebf42,9f80170)
+,S(4095b5c,163f226f,7937fbb8,3035f6a3,9aa9b760,c5086c0e,af9959fe,25f30a1f,1ce180ac,65554d4e,e9b14595,5c059f64,6a15d032,930465aa,d5547c58,5dff7ab)
+,S(6a225d3b,67d9d42,412ecd9f,d018bfbb,7a36a59c,d2f53494,3d6cc62f,b0436a24,29b3d63d,9352e0cc,aa23c91e,e300592f,cc698abc,c73c48da,6a384f99,ea7c2701)
+,S(23efaa41,e5f9bbbf,c6953a89,e3f4b9e2,17249254,94f2057c,f46d0c8d,71d36e93,cc89a7b1,7f2671a2,5bd7075,5c269219,88cea3a1,1315b86e,f218e493,7cdb789d)
+,S(e30c1e97,f7f99957,58d591bd,6a398ae2,f972176b,f637c66a,258ad081,4f3ae55f,1a70cb6c,3e66e925,fc1edb4d,4d29bd89,3e8e4755,6825adf3,11e64b01,866509e1)
+,S(be64d782,acd416d5,2b612f53,4601876b,f05aac91,13c8d265,b57ca32b,df08e278,7a41844a,43e837c9,293b81c8,73cb504f,bff8f15f,5a21e61f,9466acd5,87ad7e4a)
+,S(caac02be,e009a61c,672b4c2,82fdf2f0,73ada0b8,d4a45450,76d24c38,f23822ac,7d93e4bb,a040f4e2,23acc304,75c455e5,72a9a64f,c66108ea,500ca62f,9216d06f)
+,S(da2539b0,3a9cea94,9209321e,e1719b3,c1ef94c3,86d0e860,fc0ec1e7,684ccb3,e85e1387,bef1cea2,f67f601f,8067e9a4,b1b1306f,6a33df15,7795cbf0,ce3cf9f5)
+,S(bf2ee552,5c965248,64bc1bd8,ad9cfba6,4ce4fe7b,be9b4198,700e936,799cc0ed,889dea1d,b1298a24,a11529bc,30339023,5df42398,e760304f,6343030f,6058f18e)
+,S(b3e4b141,cb0c3662,9fe4c9ff,7a42c635,1130602a,720a6264,30b967c1,47abde36,f66f7118,c38a828d,8c4ff83e,5d6affeb,eff979bb,2e419f56,a7d7c8aa,52865657)
+,S(451eb24f,fad7211a,11181826,5a223649,24a25593,63c33e01,4967ba58,889475a0,889ff940,49f6c3b7,9a5bd321,1c1f33e3,4cb2f8c5,bfb141a2,1fe5419e,44565bb6)
+,S(29ab658a,6a754778,2127a0b0,c4b8af33,ea4c77bf,4bc0fc53,b5d65d07,38f5984c,aab1bda9,c77d6c3b,a619f9a,d72da6be,947b8baa,b80b16d2,15ee01a2,2bf0f2c1)
+,S(9b59c407,d815c224,5bbb9c0,d1da59fa,9d9e79a,c654f8ac,2879b341,297b24db,a4ef058e,e6300114,c2827811,abacc0a9,17bb35b6,9b1b76c,c761ab8d,a676d190)
+,S(87d27b65,82aeb975,8b9b970e,76c3ac77,78e69a7a,52ac620f,c0564e74,a66c9fd0,3ff3b3cc,dec29337,41c83e08,7f07f41c,4d03d5c,93268b1a,cd9098e1,37511e03)
+,S(fbb3684d,38958163,bd85a0ab,36bcb93b,7fe7d383,b70d8bf4,d9bba6f6,989701dc,7b07cdc6,c9c5b3bd,10dc2af7,b2606d09,759e7342,68a5d4c0,301be264,87b94504)
+,S(82022ae4,ccc42b9d,223cc1ad,c66e58a5,a3ef1494,f95274ea,cc7cf79f,4314a453,c2424250,9ddf2da1,6f0481a,9b4db450,3a81805e,9a8eaa3b,b5cd0e49,15d2b695)
+,S(ba5cd45b,3b51cb37,bbe475fa,e91f8975,ab4e657c,57d0801a,1dbec958,be20f901,2e0d4fc0,f8b4f58e,3407eddd,298e5324,7f9eb718,b58e4164,78e3a01e,cf41b0a5)
+,S(1293c841,b316d1be,76ab4444,53e72e22,cfadaf3a,df5b6d27,7cd065d8,8a6703fc,98f58f37,40fb4988,b844ab52,3420709c,2488f144,88049749,28670aad,5133c2fa)
+,S(ec9fb3c8,54bf1bda,dbb972de,a8ae36c7,987d77e4,8d8437c2,c69aa988,df5015c6,d5f35bfd,ea59e974,961d6b36,4832560c,fe425d54,bfceccb2,a00411cc,a5486d3f)
+,S(2ecce03f,4cd55b69,6cbd4466,2e7d58f6,9950eaec,6adaed62,7694dcb7,2544d244,e14f30a9,7f1cf747,ead403ca,e07cc4cc,d1bc793f,de79082f,f6615e6,43f68879)
+,S(ed8faf7f,a63ee520,7825e7fa,56f6ef8a,4c6ad5af,ac507c3d,77c025cf,566fb3b2,df120b8,ab21273c,a5af1040,7fa3e54d,cb0636c4,8ebf88f2,c9b046d8,83684a9d)
+,S(47cb8f7b,8780dabe,c1eb456a,f30fd917,bf3fd9f,3c28e3a5,bc078c5f,14c32e4f,f8607a02,1f16aa6c,68afc948,f21ee2de,c5889d19,8978e9af,66931bd2,b4aa3203)
+,S(76365ac1,fdebab2f,3b9a3ee3,8afe70ea,d4962047,1e38e5ca,cf215a24,3d762009,2cacaf72,8b4bb600,ff37d3a6,97d45fa6,5d778334,dcddc32,11fc51b5,4e53aa28)
+,S(c9dd5de0,99b8e552,e1375055,63edc83,9f09311e,11868ea8,a233309e,cc27b424,4bd4d238,4e615eb7,c68f134a,eafe7d2b,38163a8b,b117f9e4,b382236b,b8f8c1a5)
+,S(22b6a7ad,cc406ebc,7c1c2f96,bdbcb6f8,9a1e08b7,822e2a31,83e5932d,ad0a8961,52b86095,bab24f4f,d2ebe9a9,534af2d6,87b553e2,77536d5e,22c1eddf,ae0ac794)
+,S(3ee808a7,49fa7df0,c37017fe,cab7f6be,96f06c04,b2de4d24,a331a9b6,9f81a158,3e954cef,5f1f9ecd,887dc174,64cffe5,6c4b1356,d841ed0c,1e23c1c,2439cb4a)
+,S(2938bc58,8a7a4896,de69ae4,4d5b6240,aa97d302,7043048f,3e49c222,b8fa4803,f26bbe61,9fad1d90,de74826c,ba6ea02a,9ea59a1c,59cb4818,65b054d0,39ada03e)
+,S(682558ec,da97c9de,4cbea34f,5df43274,94962e5c,df72b0b1,2c3977d7,e1a15451,c4c2e765,22c7013f,19253c4c,c8ec6cc6,8b543f33,5aeb620f,112824af,b9fedc6c)
+,S(720d8c68,fc520da5,79f6811d,e1f3d045,cbfad09,f7f7d8c,8ba68b4,6493620,b867e8a8,4f7a6d06,4d6fd4b,8bbb31a9,7ac26c3,b485fa29,50d545e2,644c9cb5)
+,S(967fb3e7,1bdf658d,356153ec,6c0463a9,994d5d2f,b3aca9e0,2a17f5eb,f4b84831,b84a65f8,861724b3,2f5d0926,ec9a84d7,e3cddfc9,c7887a09,4cf602eb,547cc83f)
+,S(1d9fd25c,77ecc3de,8e5fc113,1ef13b9a,73f6ebd4,f8673d88,db2a418e,8bcedc85,54a06301,d9720fb4,bfbff58e,23fa4233,33012c9,d62bf0e4,aa6adc4e,ae8035d7)
+,S(80138158,a1137af3,114dff5f,f346e339,7d04029f,9050d44a,b4cea89,f1311c0a,16f49876,e6d6ac18,c25cc712,da3afe70,bc5e9489,7c55dc36,bdd234aa,6a5a6b31)
+,S(aab4021,77fa5844,e3a0906b,3107df22,33aa3418,222a8c55,c6c37933,c3ef632f,9b83208f,3ad0dced,382d5876,7a089711,9a062039,9a7fbd2f,7034e5e0,3201b092)
+,S(8f3fd14c,7670f464,d9ef1e3b,3014be60,3c523237,14bbcfe1,d3612f13,fa72f10,84cb7094,7901b81f,bbfa593a,5c8606e6,862ef6f5,d71c30a4,b546c08b,4205c68e)
+,S(3ba9c91c,aba3c06f,eaf4578a,33979ec8,df69a903,30cb8d88,e49953ed,4a1f4933,7048a74c,3eb66231,e8410799,591bbef,fdcff65b,b492072f,582ee47b,7a6f99cc)
+,S(2f8c37d2,89dab0e0,d5152468,29f6cb61,7344c21c,29860645,5f29a9ca,dcf36a7c,37f0b64e,9d02710e,bfaf145e,69c79965,4223d093,7a834201,d2f74d40,eb508396)
+,S(45e6eba2,c9209d27,b87f6050,a656fca,73fc6128,cedbd2d3,ec40ca,76dce846,a3e28d44,ba1882bb,d1c91a63,5ee22582,81386757,4e66ad90,8a062c93,bf5f16ec)
+,S(a5ecd3d3,80a0cd23,4467143f,fe842d9d,82ea7d9b,98ad23cc,605fb8b1,fd767ee9,22f12823,8ea84269,3fb31fe5,b5015cf2,c9ab6c33,d167b95,9bea6e29,4f11353f)
+,S(f7f45a71,c4663b0d,44369821,318374e8,51eb66a9,ff6034a2,c943ff90,174be83,3a1633cd,4ec197f5,40d3d6e3,e6a3281d,7fbdf46c,f52fa149,8acc0a43,5b46fce5)
+,S(92582286,6b314e17,5af03b7d,e5717d42,52bf6c82,a55ec832,a94b274b,487cb59c,fc8e9584,736809dc,65234670,495bbc7,d6c2f52c,ddfac4a0,369f0527,4a811f68)
+,S(c15fe8d3,2303d00a,2f57fa96,6ae6fa75,1d7849f1,4dd527b5,a7f76cc1,e556da4,36242bd0,4685dff1,a67c445c,50cd348b,e017c06a,e2e9cd06,7b5fb109,81c10951)
+,S(49ef826,152aa60e,310372df,270bf0d4,4dd7136,7d72be5c,a464f60c,c62b5355,7cad4ba2,dc4480b,9a1c572c,77a93e16,4e369d2e,b565e165,d9c7d2cb,20c4c645)
+,S(c8de09e7,538ff94f,e12c876e,163133e3,629b2f1d,ed6686a3,be4ae122,9c91a18f,b5a7f31f,e58088a1,5f1e872,d6096562,9cecb10f,1a76fe88,5eab6247,697c2635)
+,S(d86b9fa4,616f43af,1d7a6cd3,d9af24a9,6b3d5119,ef764576,9461ffeb,96abb344,2388ce8e,8f931b49,9481b660,669cb8e8,56df6f72,e392e539,fb570e19,f003bcab)
+,S(a2cd7618,f351e2b1,3fa7b719,30fe3041,87c4969e,4f3ec55a,7433ae6f,cbbf88,3e0b5c62,436a363b,1455711a,b310c362,29870cd3,a096324a,a8dd36b8,5d19d685)
+,S(b7283cd4,e33e4a3d,7836e4f6,b39b5576,ad6c213b,ed2fab87,ab442ccf,2100b2ca,918006fb,111c2307,1821e7e3,25eab3f,9083367,4248fc,2733173e,8eabc9ea)
+,S(b1fd2d2e,9707ba8d,355b123b,9ca31365,d12e1854,6efccd9a,cda40f6,48b9a769,8c37cc16,8e8f55de,f604d222,62818bfe,1a40cf3d,62dae94b,58c9ef4b,475e674e)
+,S(1b0997e7,4242e85e,cb4be32,885b5a6e,cf6077c7,395d262e,7c0d2b82,cb39f90f,55b4d8d4,27cd1d8a,ed8c2d2e,f3bcf8ce,f30fae12,4c14b183,fa36923b,6b7760b3)
+,S(56ffbbbc,94ac925,dea36258,8ee1bbb3,4f1dc9b8,1bfd7e69,8e055065,d98d78d6,aa73208f,46d72bdb,20af3d23,5bf1c5ba,a517fcb7,b8036208,9f8a7198,d8edc65f)
+,S(c125fab0,7ddb7f9c,3426cd36,812611e8,e3908191,67228685,3533e0d9,3ad7045e,2806703f,622f654a,f6c3f118,92c1dd8f,1f235ef4,4df464b6,8ccd30f1,9b77e5ae)
+,S(e7ede9db,e4e0c742,8b1fa6fe,e81e80ae,dbab85fb,f259d301,48a51423,fe7f4a17,93ab277a,9fbc5cfa,c80d32e6,5e7f50d2,e236925b,c2dba1d9,e635a56c,d33fc066)
+,S(74701763,f1bd6bcc,470c3da9,d853f967,a47c1628,c48b1cc8,aa395159,a3df93f3,ab2c011c,7c5510f3,37393dd5,f05547ba,bd22237b,28ed69d8,a4b6ed55,5d8ac8ee)
+,S(8d27f97,55baf71f,e6dffb8d,83784e32,a65541c,5c656576,89c900d5,e79081b8,a7176e68,f3c89601,4ae1f837,bd52227f,f308f90c,b7f31386,e5586125,1ac250ad)
+,S(63e06afe,9040b531,eac0a0ff,1ac25db8,71b0db01,8e9828c1,f5798ce,accc7ea9,aaa11884,a9dbe08b,6b28fcf9,9049aed5,c911244,b2a6a13e,9300c007,f4910aa5)
+,S(dc7ea1ae,27d60ab3,42d617d0,23e4b1ab,6bf8bac2,882084b5,dde95894,744ed50f,93c7d76e,2b95c5ff,bbfe97fc,754a5a3,b63efba6,e111540e,48a0291c,142f3dfa)
+,S(f3aeef6d,f69cef4a,3d7dfb69,1b5aea99,36e40239,bb976253,2213bd1b,f6e842d7,57d37dda,339c7002,f87bde03,1cb1e8ae,72e5628e,f493c115,1fbd0f46,2208de5d)
+,S(825bd84c,316e64ea,dc5d081,23d7272e,ae87dafb,28f69b67,816a1aca,76bec3ce,61e3a7fd,ba8370a8,6a3e3f69,d62f87f0,849a2564,97658f1d,c28ca11b,40a52251)
+,S(310a2cd7,4dec5370,9d2988cd,8e9426a1,edb63b9,50ec3ba7,f5aeeb93,3856a75d,5d6d86ae,dfa5e57f,7f2b4ab3,aaec250f,e3ff1eee,3e18c228,ffa3b81f,17122c97)
+,S(3471d475,62a512d0,f82355ae,f9bb6c3f,69f04db8,977ee4d8,5af582c0,1b425217,272dde70,2fe0b69e,bf86d68c,5037b425,ccd444a9,45040358,aed399eb,db9cba31)
+,S(bf6d2563,bfafaf24,20a2b3df,6829aec8,aaeee4eb,ea3538d,8086807e,4c257a2f,e8077a00,7e7b496b,64f847ef,755746b8,3a2738c4,4c1e7ff1,a920ee2b,40b496d)
+,S(eb33cfc4,a883f718,52fce42a,3cd876e6,d6f4d465,327223fb,bdbed425,2b9cddc4,9bd400f2,ef608bd9,904f03ad,27de86fb,eaab9137,e25de8d2,a7dada4a,1ee5453f)
+,S(1317e0d0,3e5df319,fb383edf,7de95645,6b123d3d,a0d8d08f,82091d6,ecc2279f,3bf6424d,5c6f9d56,b0d22b60,706a5471,dcae4297,eacbbb25,2a9d2292,33675afd)
+,S(81b09f2e,99dc43eb,eb22cf5d,c5406f30,7e00f8e4,267bb456,c99bce34,309aeb56,9d4856a4,b300eeac,42f5b1df,92e331c9,1dbc5f6f,ebf17d7c,49580180,a3361932)
+,S(deea567,a32ff19,722626ba,ef4ea337,ed436d32,d23df7e,98b86644,855a62f2,5c912697,c61a17fe,8557ab3,40c1792d,4a8310ef,69e785a6,dfe66d43,9d032414)
+,S(ce4ad083,5746d173,e68e02ff,a7a91b9e,96ae44b1,cee86755,ef3dc4e8,e43444e5,be86cb89,5238d4c,b553e289,1545fe84,df7cc81a,ff1c2a20,d3406f62,7f03aa7d)
+,S(9a993e3d,407f1af6,e4d19a32,48a0715f,2e36384c,7d8184f6,fbbce7ff,530b077e,e4a1a52d,80a267ee,99a7bd6f,e6d96ffa,3f87001d,c543f4e2,481eebc1,301a7a7e)
+,S(1f10df2d,7c7f05c8,1717ae6a,1267aa63,9247c7ef,45aafccc,6b36112,fb9bd0d8,670b265b,71e2db79,32683b0e,c967e9af,e45ad643,27cc29af,fdc783b0,58760410)
+,S(70ceb257,29c9208e,7db17633,dca775de,d57d1dff,9d914a5a,bad5711,86621b53,6e016e91,b3f3455f,cde11c0e,c6d1d75a,ee9825,7e9d64a,ce7c1ec3,49df0c62)
+,S(ba46e5e6,4dc882fb,dfb7921,a106060,43fb6c4,ace9f2fd,46693f7e,74694e3e,eaeb4eb9,79381ff,8a208e06,9d8c436,5868d0b3,dea049cb,f342c88,7d789acc)
+,S(bba3badf,d233ad20,e4179bea,f3d7579e,a631d154,e048f7a9,e320d388,3c30d81,f2a7c70d,69dd44c7,317a0af4,e765693e,2bdfce6,8c8a51e8,ed3f9003,5e1b961d)
+,S(6df6a769,d300ba68,17e58f1b,f41e0af2,57d491f,38e59283,d93750a6,36d3f8a5,63a083b3,aa51c772,eced1f31,ccdfb4d9,ebf0f492,99f12819,dad9a36d,a73a4a6f)
+,S(affd131a,4b8c9a98,294c7ea8,793a5173,4fab1953,1d2fe236,1ada5c14,a7174f2c,4c3de4d9,ec4a3698,3feed322,58a9788f,3426891c,b3205708,73429671,3411be6d)
+,S(2da31049,9e54b18a,19dba546,4c7c708d,d42ccac6,bc2196ee,2f0a2453,3b0abc7e,f354ac91,20ad9f8b,56d09d44,51c4d052,426981a3,f7b47e7c,bb0549f,232db974)
+,S(3882ec53,cbe3f82a,e8d381ac,edb4c31f,23cdd201,eec93f2b,2dc7d0cf,92e57b61,1d34315d,e5a7bfcc,492b0046,b2740646,71a43d53,2fb0bc78,6cd80ca2,ef7e6e3a)
+,S(fcab8635,6a08ab26,39bc8e4e,8e9eb5e3,46825975,2a65cb28,d559bb48,7387f9f1,af4080c0,d08f07ce,57566753,ad3570ae,bef2b38d,4ef7f54,d7b2054,c8fceb94)
+,S(fd34b8bb,8a897e12,a29dcd5a,57540caa,847bf011,a1548ebe,5dd89d75,9d36bb58,51a66aac,6a56f973,57927eaa,723106e4,d19b603b,d0d5a55b,76235197,7910b2f3)
+,S(1e89bd20,c0d85bf0,76c7a167,87c7d817,1d3b4660,99dd82fa,808d98e5,87d4b469,4f53a9d0,e5768760,3dedae47,574f3123,dcf11590,fbc4d353,eafc8629,3cfe882a)
+,S(8a1ea7ba,66909ace,c8d7d93e,aefbaba9,ddca459e,548c448f,5fb3a957,7baa05ed,d58059e9,64f37a4,39f7655b,25018031,ea1f1fcf,8ae94f99,e09c04cf,8b7be091)
+,S(e0c3780d,80d59926,96886549,af2961b0,e4451f0c,b5572cb,d7ff76d6,1d1331a1,99d9d2e6,a13c3b1f,c2fe6f1e,5230e7b3,d827ddae,bbeda551,1144f68e,4945491d)
+,S(964354e6,ed23ac12,16fed36c,5daade18,8e7e1bdc,ff20e60e,f7cc8c0e,83996035,f748a09a,8563c6e8,72253198,4e6f0622,7e6a408d,3c633529,aa8bd326,3428998a)
+,S(9809e729,5125c862,fc6eab86,969861c7,8bd09415,585414a1,ab1dbc3c,1afe3f9b,d8536228,bbf55568,833909f8,6fc84a58,ab0fc089,432fc05e,fd46bf63,987b9fd7)
+,S(195f4d02,305e4c42,28d83bf9,4025fc7d,1d8d7173,da14bb34,abbecc4c,f01ed17,957db8b4,97aeb9cd,68152e0,23cb4467,ce13845d,3a88e21a,726b8766,7c9d637f)
+,S(562eaaba,3eb17e34,efa3f726,d02490ea,b0203fe6,81b836c0,f2c44a1a,854e0b37,b4e658ed,9e664804,2d3a35a7,70ef4253,97093ba4,d7b32da5,9db56a6f,8552b1e8)
+,S(84a2c5eb,1efa9014,80c57969,3302f34f,de3a602c,a4b1a28,8d79f28e,dec8282,700d51c7,88cfeed8,587261db,adcac440,c703313f,5f0da023,bdf62b36,46207cf1)
+,S(83d12fcf,dbd9168,b14e7340,6c6d4b84,b93e2bad,77d4c7fb,8ba00973,3672f913,e4856e26,bf2532cf,bafc78b3,682ce9cd,3c0dd6fd,861218ee,523b5131,e7279a7b)
+,S(9988a6f2,bbd9320e,fbe73bf,9f4643f8,ce64d522,9ed4b701,dfb0068e,dd5451cf,bbb352fc,bd3b2650,d0a44e4d,892f89a4,d2f431c,2abe9910,ed5a1dd1,8a882d5b)
+,S(3e92183d,cfa615c7,33721d1e,2a2116b1,83017d4c,2aa70b51,60f80a10,afff0724,c7888251,f4bcbe62,f0dfe545,3a73f3d2,76a2f30a,74e57d7f,22680b39,142dc945)
+,S(d9175300,fa1efe3a,4cb130fa,fb36275d,e5f85b98,5ea5844d,e7763d6c,8239492f,59138c65,e9592a0c,d9a36220,d165abfc,fbad38d8,85eeb521,c5566702,9b678b4b)
+,S(6ff5825f,7c12bee6,5d17f7b4,7766e677,ed74c5b8,7a95d068,b4741129,36d933dc,661ae9de,cb7974b,2304be0a,4d2b8d80,2ea9aca8,40cd0381,31f80248,378c0edf)
+,S(ed6cbeb1,a8761064,3067d580,ac024f7b,9560366b,bae875ab,15ceb116,50b1c31d,9140687e,d1e889c1,6564d60f,702e8101,1269c476,f19d7f45,19a7d66a,8617dede)
+,S(5f8ccceb,32d75aa3,1096b56e,eb132230,853bf6e,38643ca4,43abe04a,8bd69164,35f72a3d,d0c81dcd,4b6ac0fa,c4f5834a,4f6576f0,21cd2d45,6bde5b7e,7995da3a)
+,S(81e02085,9bb23977,522896c6,7ed66751,86580d62,f015af7c,479a6e23,982d0b7b,8791fa9e,4159f26f,b42ddc08,85d562b2,fce84a38,e2af9960,1ebdbc64,cffbb669)
+,S(de226b16,dd1e5c26,9b7aba7a,d63badc8,3eb435e8,7aca85f1,41d42712,95d8f721,62e1e399,fa2ce72c,3f87dc03,de33d913,3428416a,434dd20d,84156470,1ac8423a)
+,S(60a46f42,3fcd3295,fd058be5,9f7ff164,fa762995,27cbd2b1,d13a0bdd,97d140f3,9571d2de,7b789e17,e46bc31e,1a03cab5,912cb854,ccbfec8e,f4d370e,df7f1219)
+,S(6fef445c,e1b4bd91,fbd3a77a,ba0c6364,80d7e759,3f42a7f5,ce089fcb,c32249c0,115fbcfb,af46db83,9ae0cae2,e581796f,f82e73d8,7d4c9a91,9a92c5e9,f4fa347d)
+,S(6d37f51c,a8d2f953,a3e5f7c2,6edebe57,a9892b5c,14482a30,9145c4fe,4293522f,78e511f3,6718ad4b,de6897c,d3b90e08,cbefae5b,a884bdda,a967eee,9d5309af)
+,S(c0ac827,5bd0701f,5c9cb035,eddbe996,738aa155,fe74acea,a76b0351,3d46098,e7f32a2a,188fa708,6a968490,60ce26a4,31d76231,6a65a6b7,c3e83201,f8e3cd97)
+,S(9000dba8,6f895023,1fc507df,85faf4a5,822a648d,4b256b93,5d012060,50cde108,9b7ae836,94b2e9e8,bbd8383c,2f4cb03c,32331902,2f58cff1,779d83cb,654ef3fd)
+,S(f1109bf4,b490bc8f,36609253,26c2a2e1,ad58dea7,463e1d9a,28aae8d6,969098a1,87431a27,9fd72c10,80230514,1c8c17ec,6e3382c2,c325b022,4a800509,5d2f24c5)
+,S(4de871e5,4e9cc6f0,8c4aac8b,36d61f83,929adc8d,4f6e18b0,d1dc855,6e8c0003,25d1fcf,ca98e8a6,c75d7fce,19de16bc,805f4b70,e9a3e9c7,f0187f07,70d3bba6)
+,S(a23cb675,92972bbf,3a6e89ff,94e10010,8f47b467,fd8cdc80,b66013d8,62766ece,8dc70b84,ed05c23d,a1681126,77d23aaf,cbca18cd,fd7e9dc7,cae5aeb9,47cf548c)
+,S(295d0cc,e96d8f8b,91ba9dd3,be703cc5,79d3c938,a5b7c32b,bb40e149,584244e5,a6d45a06,a16bd4bf,6af0fe37,6538ae5e,745e078c,12b3ac95,2653f7ee,2b03c926)
+,S(7c683b91,9d5376a6,d40b13d5,1fbd1769,6cb40bcd,efd248af,9e102545,eebabbce,3da0c9d0,3608856f,5b7ed30b,8d9f1562,197d4e5a,7c23ae39,332b1ada,adfd3f73)
+,S(30f7512e,d27e249a,95e0e21f,fe22ec23,8505f39e,ca9f41ec,df5e7ef8,1c0c3189,2f5fd85e,25ea3a3a,15928651,4b473197,9e4e7f7f,56e88164,fad41e42,e4875169)
+,S(9377bf8c,96584f27,324a41c7,78d6314b,1c7f842f,b4910835,431f5a76,2f514961,d599cc55,e2eddb2a,e7d7fe92,aed830d0,3cfa892d,3a89cad4,335fd6d3,69f3df42)
+,S(3589ffe8,67f20495,ba3530b8,5f83c54f,28a66e78,6bff4ca2,40ac1d55,6d31e9be,98822eaa,983089e1,209c22a8,9f133dc4,d75b3a67,8fdd385b,581a9274,6d224c89)
+,S(39c1b1f4,b2dadc4c,e58e0f84,1fcc6415,2c79e77a,11d53f85,999db8b8,ea3f8935,e785271a,d9df3389,6436991d,eff9da83,50bb8a42,616cd31e,6289aa84,d4256721)
+,S(dcf11459,d3d62c2d,99879918,8b6118e4,b103f9da,2453b72c,ad5eeded,8b25be33,dc038c1a,af3270e6,345a92fe,7c7dddc6,a190f6c8,fae7d7b3,30a3cc72,f3a1c074)
+,S(614929dd,1de9b0c1,3f4d82e5,5bd8050c,a32ff05e,6eb238f0,eed635b3,6623d1d,afe8517,c9e7f17b,a1918e3b,e8180ff6,afafdc43,1acbea6a,e0eaa75e,c4d8a24b)
+,S(f4a72228,cff6da94,a45da35,5ec8adbf,ef81609f,b59a8296,a7c1b0ba,9cce743c,545200fb,de095aae,9de90f1,569c6bf,2fbcd025,3cca1e50,a25a81a6,e19cdacb)
+,S(63cc4273,6caa5597,46e62fbf,5371b943,57aa164c,fc8fda65,b5fe524,e2c93f7,1fa4ef5b,c5a6413a,d6ad2bd3,4b08289,e7d8224e,450f04fe,9b47c45,ace5665)
+,S(ac175228,118438a6,d2cf761,f345cb04,aa7f9d89,9678c201,6b84be2b,8eab8889,dd7df8ae,29643dac,27ab01b6,8f7765f0,832f2989,99a13396,3435a982,aa4af2b1)
+,S(9dbb5eb9,637c41b6,c4a5a2f,72efab5b,823e8622,f3786c03,dd678816,9e4a0e48,772d6ba,13f4d61f,42dcde34,b8519aa2,5aa0107,89c625cd,1ba38d4e,b7d924d7)
+,S(717095dd,d2fcc135,1015b586,65a0d888,4e88f599,b8c32fb1,73d5731c,3ef7dddc,1de0f109,52b470bc,fb23da3f,3c7b640b,4727326d,d18e020e,581fdfb4,7e4fa5af)
+,S(5ac230d3,f829b1ea,401e3964,c14d6e9d,a32c4a68,2ccdbb2a,3319a964,265872ca,fac3c3a6,27dbf66b,c5e06a16,e319ca43,423484d8,3217ae81,51bdcfae,c9c026ea)
+,S(d27ecaaf,a39f415,e1457537,b2e74e1d,382496a1,51118100,8577cf76,1f8752ef,fc480b67,46cbaf31,e3d8eb6,4121b68,d5938e84,face3ae3,5dcdfa4b,71c6c037)
+,S(e08777dd,f92d99b7,c4f87d53,9fada8c5,703af619,3a088d64,77f1e20b,f2ac6cda,25a4f88a,c6cb18b2,4e96ecc5,3ce10d5c,1202c4e7,edbdc070,db05a501,29ccfee9)
+,S(45ae7ab7,afe9580f,bdaa6a13,8896ab97,63bbe3e6,88054776,753a1180,699ba6ed,dc1af7ed,127fe06e,4d0d440e,3d96f43e,502f797e,fefcff1,6c46e6a8,a156f322)
+,S(fd28cb3b,71c50453,b3cf509a,768b4c2e,6ae26514,5801c045,327e1de4,f4d00590,b0684f95,4867cf44,aa5081f0,8174ce21,3298a22b,257f6159,c2666518,5ce5a7b6)
+,S(f226f00d,ac6f49f0,a195e4e2,23b9fba7,95681660,7671dd7a,158b3260,1c1d850d,d05d5c4f,6925a38a,b4630e53,a1986fe9,d823a08a,3691550f,10f71b65,a109ef86)
+,S(3cc61613,a80d8480,87ce23a7,2b3038f8,a994e1ec,8c9c740f,f0e44e90,760337a3,8474f96a,24093af6,94221f09,f95ab010,90377f1e,52a173f5,a11dbbda,cd3c3956)
+,S(721ecd89,8cd99712,bd3be233,1f57d686,633e7ed5,c95e6223,e5cdace0,ce60e736,31d294d8,6fc07cae,4a09450b,fec633c6,21dc34a1,2f7668ad,532ac192,a0ffd69f)
+,S(dcbaca58,1144d9b1,b2586271,5e58fa8c,d5b1062c,ffabaa2,db0fcffa,2b2eff38,9cf7621d,339f6cff,90efbdca,5e2c6174,708b53e6,1af38689,e6d3b257,21ec7d34)
+,S(ed314e93,e649ec2b,ce491938,2c7a256e,b9300b99,528e7878,3421f337,15db8b92,70a81aaf,229fef2,e2922355,e1f15465,53ea0348,e3dfb18b,c837ddcb,60744a11)
+,S(6bd19bcc,7a59bc8d,19a97768,95f65ae8,5f5c7eb6,429c09,85436b8c,29c036ee,51346de3,f4f65681,bdbea28f,843545c5,31803ce7,78b5732c,bc42735,4999090)
+,S(99ed1e15,6ac8dfb3,604228bb,5be088bf,ebe9d640,7ad8be15,5777c6b1,d43d9acf,75b159a4,478b4cca,80ea0ac0,472436ad,69f57e9a,f447c61,e19910c3,9d2c922)
+,S(3e166f8c,793addf0,84add90f,b0303970,f00c3c3,8c36171c,c7fe0877,b2452045,91659a63,b0cd2a65,ec330f6f,b9a6cc6d,9f07e382,7b94b8da,1921aa8,1d5bbd59)
+,S(fc1baad9,a3a95f38,bf8d1b16,8409d09d,a1b1a432,841f656,cf8559cd,176df936,31f7a7bd,b013b89d,5045f248,982b5b4e,e0b4d791,21b6e638,84a563f1,a08af43d)
+,S(80b3ad3d,4b371eca,c903c879,53386884,3bd31843,4e9c925a,5a5a819c,ff7ff340,fb1ca8bd,aac96d84,c67ed7d3,b65fac69,108ae28,7347abfd,f20e4cdb,712af178)
+,S(bad065ab,2901f727,d76c6c36,48ef7aac,2a87d49,4d727422,73cc2e4,68616af2,ae9d7902,16b5eead,4d9d69a2,eaba2972,fa925a34,13f15d92,236329c7,470a37ed)
+,S(d1f046d9,d700ca6,995beb99,cc8781e5,a2fb758f,7e81bca9,bce435f9,129b8fe7,274ede5d,7eb815af,34716718,84433143,3090fc0a,46575017,fca345a0,6111a4df)
+,S(db535f55,e3dca80a,58dea798,d29aa0f6,99df1761,473a7ea1,751a047a,33f0a22f,e7d8015d,931a3bca,1193df83,7e7a8f10,e61b86d6,477a37cc,ed3528ad,5b53ff6b)
+,S(da1dba06,a56ef0fa,f98b1a5d,b9a4f184,8635b7e5,164cdd50,82ae691c,ca42a80,86a8383c,a69531bc,ae806621,5cb4160,8807e265,b2179508,d928e312,a210c9ff)
+,S(267c26b4,d980066c,7dd4f29f,f7b54277,3b176b77,9b3588ae,ff5ec28a,9aa42e7,3390c03f,f4e5eb25,5d230053,1d93daa9,d584658c,7fa30341,42ff20b5,827161d)
+,S(8024af52,4e6ff955,70c7915,208491aa,5561fd29,fee5c27d,4f3483ff,c1cbea0a,c9de78d0,498f726b,8078fc0,609e76ff,df7a8a71,7345ca16,dff1d7cb,b2dd86b0)
+,S(11ff6a68,c7beb420,7f0d7dd,371cf000,dc3dc195,406882d2,77953445,6208f661,b53ddc25,254781b5,1e7cac25,c1f7e3bb,916b75ba,97a7fdbd,658c1bc0,a7b4092c)
+,S(562a1083,f9a68203,39a32d7a,65a9982a,b70d6596,b00751f6,aa88c27f,36e3c929,a380ec7f,908808b,950e7d25,510ad741,66ec2061,50923364,55744acb,b1e05b51)
+,S(4efe70fd,327c0d69,3b6a7598,7ef64573,e097fa5,4cf077af,68d082e2,d341c413,10d47b9b,92e0b62d,d9a8befc,3ed1db10,b110a346,8cec98a,4a1abef2,c8ce3dc7)
+,S(4d64bf0c,d7f128b0,bde8576c,91e01c27,354abd98,2cd3034f,f9ac09c0,23a51f20,159e741a,f57fdffa,de7bf38e,14dbc2e7,da3c524f,3d4c8d6e,b9dc32e5,e8a5e28f)
+,S(9a41634a,ff3278d6,b3ef0064,ceecefa3,466de2ac,372ae43b,c48f30b3,a187bf,eefee0f,aebb77cf,8447a193,6564498a,f409e530,f4053c3c,ad27eaa0,6aeae2a)
+,S(e1804fb,9a6bde08,8efec2d,2e5c6774,2c85cffc,e78254cf,4fc4ded2,9102418b,e9cab1eb,9c1664b9,c2fe81c9,b3a665ae,447e93c3,183cde7b,fa56ab34,7efcdda7)
+,S(a603744,c0247b0a,f821705a,dff44d2c,717611f0,25f9fb41,1eb62f1b,64593212,820fd32b,706a7638,4335c0a2,f8713b9a,6dcdb015,a96b9d9c,e5c19bb8,ca603b61)
+,S(a6f1d9b6,895b1298,34972a2f,ec96064d,a1108ab3,aae276cb,66a620a0,495f20b0,9a95dcd0,df038394,63ff5ea8,18679c3f,7f55d7ef,83a06880,29c9d543,6dc8273c)
+,S(4ac51432,7822b63,e00f920a,b6e22142,f09f30f3,bd74c418,93baf126,cdac5c48,abf5d148,77e94a46,45fda161,f9455bbe,7ff037c7,720f6a6a,d7e4bc31,a0f43885)
+,S(5a2cf55b,a16eeae5,8cec588e,1b339422,48af6e37,33604475,2dabbf7a,f7fb7a9b,8f27be2d,32ff72cd,4fc5aeca,5de55a21,a45f8c1f,7163dc4f,e0c00040,e69322e2)
+,S(e16f23e8,ef48c1f6,4012b27,f6ffc4ea,a876053e,30cb388f,232b3d8,db011c99,195ffd52,b0afa5c0,da95bb97,7bda614e,47ffe3ea,13429799,e8c390f,b8c56000)
+,S(65367cd7,ac109f71,50de4263,cdd86e92,28923a3a,ff96945a,c1bbd163,8524fb84,cf0b9ba,fbe67dd6,4d09b170,beb4fe8c,a7687c95,68086b6,8a7834a5,1747d731)
+,S(10a8840b,39443b8d,7a44228b,d6dd6647,89da489c,8e954d54,a5cef366,6bd6eac2,7ff6f76e,e4aa58de,185163ac,ef7fad13,d8cc4055,c4e10a60,7987e034,c661eff2)
+,S(3fefe8a6,c01b8202,6bb9d038,c577f16,7b1db5ea,91ae80e1,528b1327,5245d6a0,a96df5a9,37e6144a,454a0b54,39d68eff,a959757a,7c9fe350,ecd58c3a,3b637b5e)
+,S(ef93d77c,e4162e9,6bffb908,f5d654d0,58595fd5,d6184c62,6c3ada21,c4052b61,40088b85,c18d97c7,f59a23a8,645d169d,e535261f,6cd7466b,953fbf40,f3cd0bf5)
+,S(f1789f5e,b0fa903d,485edbd8,4971b7c4,9224a2cd,519bdd40,d627bd82,b0ca4872,4c845cb6,5456457e,a2f570f4,77b1f4a1,9e36a905,adaaa8d0,5830161f,a71a9da8)
+,S(d0bb1788,ebc75ed0,20c0d15b,ad4e41f0,64193890,8a8704bf,ff3cc4d4,cc9b3274,3a120ca8,95a327f4,8e687796,30666649,43ac5524,44df62fd,8f7abbff,222a7641)
+,S(164ac10c,f7807ae6,4d6aab31,72110d42,2f05e461,aeb9805a,3facdf7c,dce8963a,8dcf43d4,40f1dd90,bb1d6f85,849f98fc,9b6dca26,301f3209,3f9dc59b,ea549b69)
+,S(f122d965,a8e40e3a,b857dcf8,92949f0c,cd3aca29,739a2e40,9876c782,941fbe5f,4d994b9d,d9e68983,78a192d0,bb670bec,71504372,d218e257,f50d0268,da447371)
+,S(ac971547,75e5a92a,1aee2cdb,f5781f09,b975fc21,816e7829,662143a4,e48870a8,249fb603,795b1742,96767945,278dc97a,53fff7dc,f8bbfede,f8943c71,43c9aa71)
+,S(959ec91e,dfd5fdcc,90d3da81,1e9c870e,fb0add6e,144b3fbd,d48c485d,2d330906,1e5ec128,b707c761,b61b5ebc,653585fe,29f48975,2a4724b9,aed90a22,6257ebdc)
+,S(590795d8,ed7d8232,457b2d15,76de09f0,3c6abd8d,23b5e8b7,c59ba93e,1e982859,5edd2a86,1a3c8841,60e16490,a47ab42d,a09cb123,a9d803c0,6835292d,34576708)
+,S(c5372b98,7439245b,eda17853,5cad1507,48fdb4b5,bf1ba555,89714dce,a3e0ba9e,f82d0b61,7159db8c,35536a5,46b69c4c,767afc43,8b64b5a0,22e899b1,60bca987)
+,S(f3d959fc,ae39cbd3,ec8d2016,630f26c4,10161128,7dcbdee1,6534f96c,e35bd38a,e1e55c1f,87602783,2ffe2f97,fe460147,da586a03,ed0ad6ce,1603cf17,ac9b3562)
+,S(922bc76e,be3ce378,2be3d960,489b064d,3a28043,f8a92cf8,dd5cec2e,537fad9e,b3199f57,2508efda,230b9ea7,51a95218,116fbf5b,d1032b54,352c0995,f5122109)
+,S(45c7dd40,7a6d2c95,79ab1df0,8070acca,2c461d88,dbafca12,99a38734,d9f0360d,3a17855b,5f2469ed,6c3c4e04,4dd96f4a,d076eba6,a60e8e73,2644d25e,67e85ac4)
+,S(6422d998,dfd4b00a,3dd89a5b,74411c14,f1af5c9e,1f090d5b,33ee2d26,b959bacb,e2358f34,491218a1,93d8cea2,276f5b3f,376f597c,703bba09,cdbf7d89,37a3bb7)
+,S(8e048214,33196d15,1a4640f1,92bf6c1e,95b1a3cf,5365a6f,535cc82c,c4b0535c,d6d2d73a,1f652c55,9f282ee5,35f55aa0,20012195,8ba94e65,b638ef50,e97c34ce)
+,S(5a2b3da8,b5eb2f0f,8a25a9e1,7124613e,b8a7080f,15d42c4,a1c0709f,e64a79bb,607c791d,eb54aafe,6dc95f8e,6ef9d8a5,a6435a82,6b824cd4,4227f188,bf86e6b7)
+,S(143587a3,5cf614a6,750f3d91,220abf49,c5296e00,3cdde13e,1a0d2d5c,f6cd7ccf,49bc85fa,de6cc58b,49a1af49,46c340b,15f14c7c,2e83201b,6622f2df,86a653d7)
+,S(f0080c42,8737c74c,c3b2c4bc,8c9d8505,ba357b7c,ff25f1a3,ac81be19,dca93193,bdd0119f,57bf674a,7d7cfe32,7027d1c,1c6a5ad9,2ca24f0b,5cf25c39,4a3951f1)
+,S(877ae373,e547fef4,36cb26b6,85d7c426,3e162dae,ac0749ce,f7748d50,5d130034,1f0af495,b750341a,ed956b79,8f268ca3,e1275e15,32e5ca8e,6f9f6df0,d4dfcf5f)
+,S(a418df6f,635ca18,8c96a071,469a272f,e55f0706,b73aca0,d1df2ab9,e8e619d4,2b06cdbb,5bbb24e0,fe499a6d,aa5b5918,2e755818,694b8856,525ffcd6,2f754e3)
+,S(4c213d74,bb6fbad2,25edce4f,44c7b0b4,114dc209,4eb52967,1d907637,a2aedeab,741bef9f,ccc65c15,8752c7d5,48afa9cd,402fb5fb,206c5be0,e480df73,9f970b51)
+,S(a37906fd,3f94e51b,1a94073a,4890011b,2cf93bc3,bb4cdbff,ecb7056,20deb13a,60a3b0b1,c14a9b1d,184d5e55,23314b70,8a8a16dd,894aa332,f01a2d67,30e6030a)
+,S(2c677eed,639eaf51,64b8ae3d,26bb4652,d6d6528e,5b85225c,5e84ec4d,4de72301,df0e4c06,d3bb7cba,17f89240,cac07c24,5fe63931,3b2d278e,aca1b9ff,7ee832a)
+,S(b551f814,eaf86be5,335fc3c,5b01c001,684473b0,cfac8939,5d61df4b,7d7e77b4,a979cb35,469715f8,3033f923,b4ae1e7f,8818b6e6,11a4cbb1,bd399ce3,646664b)
+,S(98d5c718,5c8c04ea,f1f61ad7,40df0c71,2cd47ba8,74141984,fba82146,ddf45c39,aca52591,5c737ec2,eaf88f5,f1ecea89,9d4a8e2c,428f5bc5,b36d2ba4,a0050804)
+,S(5148e2f7,260fb652,68c10485,4fbccc62,ed1e1386,ef8fbbc9,a0b23e2b,94cefc7c,65b4dd2d,35dea498,5ba4a8cc,b1a08dbb,9e9b2716,7ca96e1,29672452,a7ca2500)
+,S(12c699c1,8c9d6410,b8a40ccc,bbeb4514,a08a227c,982df1da,f91e9131,8e0e753c,7d953c42,89b55724,3469a197,50516e88,4889e968,4ed28e1,20b022d8,932fcc99)
+,S(4d0d3ff8,a7734011,b36ecac3,7ebb2312,134e4479,5039ac63,9dc69d48,120a8d20,edff17a0,e0984c60,3c4f1026,197f2173,960b3d29,f0b0ea57,3979605b,144ec64)
+,S(ce90b70b,3e7b7a71,a91b0985,a668336f,ccb069d9,81a9fbe4,48125061,5536e42d,8cde9d56,12e0ead7,524640ca,2875606c,d3af73e6,457f1e67,2e63a478,5569000)
+,S(28c79327,6bb1879d,99fbf985,1d2fa908,d197f5b1,c83be97e,360c4931,563b2d8,c8944e40,e2f3b546,5b6b10f6,ae1cfbe3,bc0f3e3e,33d91085,7c18496c,ec643868)
+,S(6e2dad06,2413cf01,804c2b6b,55b707f3,864d4c80,87d30665,9a1fea53,e7442443,9da67c64,e05d6914,30a1fba7,39c0fe36,497bc028,43441f7d,c4c035df,129430e0)
+,S(bef94ac8,3763946,c434d03d,fdf437f9,19f26188,923ee54f,8715b724,8c4d20fe,d2324534,e5fc1dc6,6fb83032,e95e1406,38648473,ce7e38aa,ee7ced54,31e25db)
+,S(53548c57,f1b45c1d,ca166a24,c0f2653c,9b7d8664,3d45d125,918cedaf,818e433d,cc138946,f0c207f9,c01307e2,130b13a9,c36aec5c,3cad640d,b6a93804,f10c3b44)
+,S(7fd4f784,7f25c901,4e8b0e09,b8b723ed,2aee71ab,fd47988f,90f6ff40,4b5867e,ffc3debc,901f12ad,96605805,a6e402db,58eec18d,375fa976,41b5d226,74a1bd9d)
+,S(444a8a7e,499789b4,49c62424,cd9046ef,d4251bf6,9cb883cc,d3dc79fa,5397dd9d,4cc5f03b,3356b020,ae8c775,708d56c2,abbe8e41,bf393f82,8f7c45e4,dbb30282)
+,S(ff05c877,84d8625d,20694bd0,a4201c7a,4af8c67,8e62abc1,acb0cea8,5726bd8b,7cf0e8ce,6ac26253,cfa5a0b5,cbe984ee,a55f6aa0,90bd12d9,6ec2de7,a996eeb3)
+,S(80fdf7ae,6aa31b6b,ce894ea0,83fd9274,e29f4704,88f0a7c6,79b8339a,de7e4ab2,77d7317b,16962745,6344a8b4,bd4575c6,49e066bf,bde58fe,3f46e60a,3952fb75)
+,S(ac38a4c8,10a307ca,d5020a74,f0d772d7,ef20227b,7eb49589,6854aead,41879214,f49c4cbb,3c675858,416f77ca,92e229ec,d75ecfab,3415d213,c7cd2cea,1f5016ac)
+,S(b3736edd,f1e10262,fd562f40,8f502f19,3a90a435,de9ab6fe,a2691155,a5f75514,818cefaf,f190353c,f01cb068,2a15ae0c,eafa2de,657ee751,4e483057,ad5a78c8)
+,S(66d67e12,d100c116,b57f6d5e,ac6a85ab,e698d4f5,cfb6722f,12738b33,310dc295,9cd4fa1f,3a0c9a54,d3608ea7,9bbd7ea,685faec6,32d7318f,d4e25fea,14a05dd3)
+,S(b856d75f,756ae484,daaeb651,46ecdf0a,9fa10c6b,a7b9b33e,b8747135,3eb59043,5c8542b1,2f249649,4b3a177d,8df246f2,6566da1c,727284c4,b041a7db,89cb0a38)
+,S(683bfd7,3202393,458142cd,661a6543,c736b15f,b8595548,afc52951,f9c47d27,90f52a40,f5dbdf26,51429f84,ac68cd96,420387a2,8d94d746,b4163411,762de166)
+,S(2feaa1f0,811e1e65,13895934,533a0941,41ee1ca7,f8975896,3d00f8a9,1b2923c2,9dd80976,b884d401,5d7701c3,5e6ee1ef,690d1820,7d06e02b,7e3a10f,e8499c1a)
+,S(ce652937,da9ebaf3,a9765e9b,144d20cd,847070aa,1a968097,80e07b58,2287cda4,c1c46ffb,5f152dbe,5a9db378,29e7ae84,454e1736,eb7a1b68,1b321f3,41ba572)
+,S(9a695bd9,170163fb,ab3f9738,a750bdc7,556087b6,b04dc8a8,4fd5fe68,78976211,f40ba1f3,75accd85,9a42b133,294868d9,dce262d,64d6bc27,d0c9cf12,3eaeda70)
+,S(e5baaf68,bd3083ec,bfabd6d0,9e4da4c3,5908b0a1,75578ec7,18cd3223,bd34ba44,ab8651f0,365cc3c1,50476d0e,da3e86a4,5feb7f46,a9afbdbc,e4defb99,ba27fb0)
+,S(2c26cea2,b507fe77,d8f3530b,b7ee1fdb,dd0c4dc8,bf63d04c,e06376d8,ffe59cc7,b344e3af,54d03eb9,b0b67151,b5845297,c30a1cc2,aefc004a,5000b69c,e630d62e)
+,S(7c67539f,52af2e61,88deadaf,a07e2f6,4d53339c,7fca7a3,c2a149f5,c8bbd0e4,3f9872fd,c21c9136,4ecc97e,c6642ec7,df7a2cbe,61b63038,96ee73e9,309067c9)
+,S(4b5ddd2d,ec8b0bc9,3b6e1d17,e1da71c8,3345614f,74201aab,8f9adc1c,aa249574,cfada2dc,aa3eefdb,434d18b3,d2a85a6b,6e16e755,6e55fd69,5dfb36a8,aac5460b)
+,S(d775c2f2,ccfc0835,86a66edb,873a84f8,f9bb6680,2eb0be59,216bc35b,88d80e4b,c8a5d9b7,988a2231,cf6aa0b5,19640a86,ff56ca57,91135ea7,65bb3a4c,fc53ddbb)
+,S(71a3cf09,78810f9d,fb01d984,43dc3da4,b005b07b,36ad4dc,d3c803a9,bcd9bb4a,8aab8e21,7db0301b,9640c5b3,9617ad55,bd4a3c4d,8989df5a,1ad31040,bcaaa55)
+,S(bc71a054,92b696e6,200596ae,3d778ef6,a82f7d05,825c0d3f,ddee8bb1,991f53b7,15789125,9785b8d8,b1374460,630a908,d1125536,e400fb52,b07aaf61,729a2a15)
+,S(9d220919,ee62bfdc,fb81ec81,a0f60e58,e8d94a0b,c6b79f7e,6f891c64,fc847abc,8149379b,1a073c2b,8dffe886,59f4e94c,75f3a7c8,a7bfaa16,e530bc7e,6ed0c675)
+,S(8369766a,d30bbd19,a330c6c9,1e3ad594,d25bff1b,4e3696e5,c6c8c33e,eff33425,a27f7682,b3f4575c,858970d9,c21f7daf,8ed5d28d,8617c8a4,e4b958b9,72e79e4a)
+,S(4e277875,e4aeaab,1a8d36b5,487fb427,e91f51ad,1cd68ab4,57db2e8b,20542451,9faeff65,5bbc4b81,f96bf1d2,a152a546,d138fd0d,a8f8523e,7635020e,a26566e0)
+,S(27f907b5,1b9dfff3,e68d202,72605a91,825046c1,b21336b1,8b91023,39a0d2fa,115225c3,6cb13600,fb84bf3d,dd5c49d8,105f459,ffc4068a,cbfd7b0c,52d4a15)
+,S(6d9feb20,650674c4,437ff42d,41f70f16,ef0900a8,f3cd6818,64b42eed,56b1fab3,82cd97ec,d82b3c1c,2e55f857,653afa3b,5f7f7b00,39aa2444,f60574d2,fa02065)
+,S(8981d2b4,3360669d,361c3b36,3284e729,ecb9cdbd,3bd17558,857f2cf7,8187bfac,1b9aeb27,d5a45d1d,8791bf73,614ecd5c,216b263,6c27645a,3e86d781,70d48498)
+,S(84a67518,e47ad1fe,25540d55,77e92ce2,81691685,6d3c10ce,9c5985a7,72e1d72e,d3cb93af,85072ea2,e6c11777,dc4b73fc,16ca04e2,699ef356,dc8a5341,c5631658)
+,S(d3e66756,72a6cf77,50c111e2,e65a6674,7e666cdd,b9dfb418,d50c28d1,aca8c683,7776ecaa,20e5c6c3,ab5aca5d,8233f83f,4e2e815b,dd1063f0,7359fae3,a6556dd9)
+,S(ede97def,71d45688,804e76b5,ee52563e,522a7684,a68efc4a,f7b2db38,65b87bba,92e6d20f,c9c1276,60a279f9,5758a80e,85bafb8f,b77eb513,7587b692,fdae702f)
+,S(3359e142,e000484e,cf7db3ae,2312e703,6ff84f84,247ac6ed,25a0b9c,eae8c871,67b039f2,3c845fa1,f38c98bf,739dbf28,d00ada09,36e4377f,87166f9d,d21cdf66)
+,S(e0d0a972,c0502fd,2654a3dc,40914a55,96f675ae,cf0d958f,8fd62c7e,122b44a1,cbeb1bc,34575a7e,bbfd916e,dda11903,3ee29e2d,1b11e171,8db7bd47,576b0312)
+,S(50b89367,5df77704,64031ac7,a1f5d5ed,4f332019,d8da2605,9397df84,21a4c987,c4765d81,63ec9eb,a089c3f2,56d6ff0c,45c38253,3d9ed204,cb04f335,d292f293)
+,S(5dc62d8e,66775ff6,f21e84e9,9f8e8123,7f80cbbe,41ce9113,91ce432d,cd6d446a,4b456b7d,e27045a5,76e1cdab,d163fd5c,b020cabf,125f5de9,9ad6eb14,1773a9c2)
+,S(8ba1778f,c7921845,d2632e18,790710c0,4e56ba7e,22efdb03,fdcd4f96,22c10971,1f31fcff,a8359658,b39d7d43,59707268,48ffebe8,8f418c53,f48c7af6,3e3e3854)
+,S(a3a14614,7d1ea7bb,e6bad055,fbf9810a,999a102b,ba8b694b,e7ada06c,8db9fc7,c9827731,d4321284,23ccd6eb,3531ffcc,b3bdb87b,1a727d57,a697eac3,886ac294)
+,S(9620a847,bd2034aa,c81671c4,436682c5,f6ce1af6,4d8df286,21ad1c2f,e0af78f5,e1cc6d08,a7e3dffe,cb47e32f,4156bcdd,6168a205,e8959f0d,99e1555,4d826e1c)
+,S(a40d86a0,aa7d6a79,3f0b6a52,c48d8fff,95b2c57c,584996ee,bc9d98e2,796016b,ec54d4e2,d453466d,ad94c15c,b25617d8,62911b4,45f44873,96ecd950,a351ea2)
+,S(71ef35a6,f60f268a,57573b97,9745986f,7e5f40e9,ba64efbd,5ed90779,b3484c80,eabffa1e,9ff3590a,c577df7f,6f5a6ad7,2f3693c,be475669,8751637b,4f8a1ba3)
+,S(bbd1a408,c742a3b2,e49ffa52,c5f70958,5308abbe,f103e674,86fc76d7,a4f68de2,4941cbec,9d07e13e,1b0fbe96,c7328459,ee6e1e08,50a079a,2ac0b61b,5d246124)
+,S(169ebf38,92116df5,3e09c92f,f2c89b5f,805d60ff,9584d2ab,433f1f9e,84ba9009,914f5516,e7667ee1,581b5ade,bf1de48e,c997d149,1e932a08,34503599,7c6228d)
+,S(8f157abc,4c5ec7fb,eac11545,890d8e45,d71c8d9e,4c4e0c3,9777502c,f8666acc,d41576ba,1e78a9fb,9899883e,602bca3e,14dc709,8982e1bc,63518138,3ff25908)
+,S(8cd338d5,694b26dc,4ebcd8,39a006da,84f71f93,94fb8100,91ed8cb5,b4ec9a8d,40318c10,dd88d9b9,c080eccf,45464ab3,3fd9d34,c2027d95,2a6ecd21,d0002578)
+,S(20e47e2f,7ba5ba2a,d36171a,f4ad760f,a64748c2,94892e28,cbf0ee3e,293272f2,b96ad220,56b89821,5c052089,789e4267,162ddaf8,76c720a7,71b15254,67be00bd)
+,S(582ed8a5,a0d38f9c,db6942d1,1f411dee,f9c31ec6,ffbf1579,3f3cb5e6,5f2bb880,14928c0e,4f9d9d3d,ec4a8db5,64baf4be,948ea892,34a6e352,a4cf4796,3ce8486)
+,S(f4a6f59a,6e76c11d,3f7daf30,b8c046eb,b0bcab8b,6d1f5e7b,877eb1b4,601896d6,2d39c6e9,e5d84156,559a05d4,a9b148e5,ccde4641,e4bd9abe,edc8a648,b070f0c5)
+,S(2a820c60,f71cf5c,76e66bf0,15623f06,fc8564b8,c763a52d,2c329af7,30957b24,b38c0703,d7429599,e6c9a1d7,250078d2,36f77f7d,b9956d37,fd92646,77ff3ca2)
+,S(8c2d9c4e,9fccbf64,871d4802,6077a3a9,33634d3b,c1d7f872,6231848a,6e2799e,ad50136c,ae43bb6d,8c49c534,e80985a7,cf032d77,604c2db8,d5954858,a9351a7d)
+,S(b18e9053,744b3ed,d0b991e,23927593,db00d25f,adfc4490,6eb0d19b,74061ba9,90f5ca44,c829b2c6,771edd73,998034d3,43a8aab8,442302a7,2ffea92,b33877b6)
+,S(cf1d157,b03d435b,905d2f58,cc53bfa1,d124827c,f4ac4109,33078dcd,1ce835be,ee37a9a1,5547c7d6,a0f03cf2,1451cd64,3ea656df,61eeb1ab,1196d959,ca71b459)
+,S(8d8b9d8a,d91a840f,b2e1ac36,a6f4bce5,92fc13d1,f22f84c1,562d63f7,e54a6007,9528be43,93ca8f2d,dae0ec3b,439abded,ee9227e1,47ce6ee1,ce61b46b,b842dba)
+,S(604b5544,bbc5b0d5,716c936f,b0d9a4cb,7ae04a8e,1d5a506f,2561b463,fc87fc9d,33fe2f9c,4fb9a6e7,41c1e5fe,7d3d9edb,ee3cde6f,106a1d8a,3e319254,a16ac8eb)
+,S(3e7ed414,1058ee44,6057aab7,49e14ca2,cbd16d64,7959fe53,9ec0916,fbaed8f6,fc15b241,86dec6e0,c91aa697,10a015d1,f66bd361,82f18648,1ba24568,952e79fc)
+,S(d0ae7435,86c17b8a,c9524243,16cf42c1,26e46f69,4c69cf26,736d0527,7943f326,bfa02de8,b983588a,d4398865,abf6b69c,fbaca03e,8bb5f04b,1971ce1b,f74e0757)
+,S(ef5c05ce,d4f343e3,7e6ce2f9,45380ade,3627bc65,9de0597f,5f851eb9,88be1441,d9267c1b,379f19e,3bd0e40b,74ae8e21,b681e7c2,ad49f635,d60c619,74103281)
+,S(176b8feb,d7998ad9,7c73015c,3b09d9af,d7cf4265,c7bf38ca,8dc64864,5c8f49ae,b4bcbe4c,8267c9a3,69cda190,5676c781,7f989f5e,a014f4c5,fc821bf3,8522f1b4)
+,S(88f683db,cffc14e,ebb58d69,fb6da62f,b20771dd,3542fa00,97b3a766,bd16c3dd,bbef3de,812103c5,266797ca,252b74e,cf80096,b2972219,f52ff718,1d1cb601)
+,S(a65d438f,1247ec44,fd8c4121,c3d67891,8488b082,31fb8854,dd1fe238,f637abaa,5f65c84e,551e433f,dfdcf3c0,b4c771af,4bb50095,dd0fc986,d4d4a82f,9a3f36a3)
+,S(bd6a7e51,c5028bb7,f7e08148,af1597c6,d5cddab9,2883d2f,f6a5a6a0,6398cc27,3f2280c4,247cdd22,e8b97979,b9a98e93,c1ed14d,a76eef66,2ddb70f6,7859d885)
+,S(a672436c,2896a0dc,54b1814e,c5101451,58f7a3ac,74d36202,34411a09,909d274b,dee80293,468178d9,5baacea6,badade56,c81f3d9d,95642654,a7afcece,bfc2ec3f)
+,S(ca0f55fe,d3a1d0cf,1adb0993,d7d2daa6,57891ba9,321104bc,8d9e0379,f03a24b0,dc01b8e4,63462dcd,91588baa,ebca8d8f,52016683,9671399d,b5843e6f,5a3cfa6f)
+,S(610ff08d,9bff021e,544961c,cb2fe206,211843a7,ea0c74cc,b91f0b5c,4b6429a1,4be3b18a,ee965fa7,dabdaee6,8fcd3e12,d889bc36,35f160dd,9b0760be,d1d46b28)
+,S(2d6f8215,a70aeccb,78cf006c,ddf8f0a2,6b695dc9,622dd622,38fcc638,a9ff42ae,3fc0964,e2a3c969,e61e4e5b,ed50f337,7a988715,246c50fd,3ff45487,95a3927b)
+,S(8c0e99b4,868e39c5,b610b132,de1a09ae,99846826,a42fc4ea,70b0c630,88a1bbbb,32b8ca42,f0a240cb,2876a41d,e61b8c17,6ead992e,8785a95,c384c536,141cfe52)
+,S(1528ba8f,9000ae75,e3062af7,74ef6d77,658c6d1d,65af87e4,dbac9eb0,8fc96ed7,a8dd278d,54df6bcd,1d4e6466,5753a8bd,2d39f0d5,c731a53a,5faeca64,513b5651)
+,S(c1466ea5,d9256a7a,f13a040e,29515858,104394bf,ac5af7d2,fa09ef7a,6ff1d7a4,cab6fec6,fb36d879,f0684b54,6003df0,d8bab3b6,e1050a7b,c05457b2,75be5128)
+,S(ce8bb093,e051089d,2a297a87,cf90c3f2,2ea946ba,87a76b56,c6f11812,d3e98cb4,a8dbba51,b90684fe,6dff556f,bd13baac,679cbcad,90b0e888,4c252e95,e03a0470)
+,S(76f3a73,7c9d9e15,8d30ddd9,b092a94e,7c426763,a17a96ea,9186582e,6d6c86d,5b1ca07c,4f345e6c,778ad27e,c6ce3f05,b29c5302,7e40443,b202a022,e5d16c8a)
+,S(f757dfc3,23390b21,3bb98872,5dd7d43b,2ed997fe,af7681ad,ee1572d5,a74017f,d0b4e4ea,67879726,700b63d9,88eb3957,74ec4f67,ca1a56be,461d244b,a5b83cf8)
+,S(59bf6198,a2deaefd,f080ec6d,3dbe3c67,f27a5769,d91c65c,1492a87b,9ed5f5d0,bf5eb739,9011a282,3110834c,4d467855,6e02f2ed,601529b3,a2f3d70f,8410f8b2)
+,S(b1d02f0a,c86d8757,48685790,918c15a,a7b0e85c,f12cc52d,53f8082e,549ba16,7925e03,99926b76,8a80878d,63f3852b,97297725,96d3d06b,85437fc2,571a19d0)
+,S(cd27372f,41d8e07d,1bd2ec1,27c41842,7e5267ef,14f3a908,882e4e40,381d1905,cce36e03,661b9f33,ccf810f3,b411693a,c3329617,52098352,2acaf0c9,5dc77297)
+,S(112644fc,26ca3599,3b68940f,5cbaab4f,ad2258cf,bbc81695,b01db49b,dd9d3ace,8685f790,7b5ab95f,2f7a49b3,bedf09d3,7ff1362b,3be9db90,4e74d049,15c0bf60)
+,S(918df72a,99ce4a16,20e84575,935a24d9,92fb51ea,eb8498bb,3a606e2c,d97d3ce,88b339ec,9ebbff98,f1b8b0d3,c90794cd,bb6b7918,2749b065,602ccfeb,bb8a8461)
+,S(9b8f18f2,65c4ffc8,9425b51,d48a770,436e6424,f34a1af2,a7dacfab,fcdcb83b,bfb95e8,6a34c1b9,2c2e8c78,fc628139,476c4af9,3f63d247,5e454a9a,d585ba55)
+,S(ad02f2a,c396626a,42abe52a,1ea1d8e4,3821740a,d8b3340c,9b9c78ff,bc24ce30,fcc738e6,cf8a7872,ff827cfe,1b7bb7a7,ad8c97e5,e254db13,255c2d07,1a2885fb)
+,S(359afbd,5e60dac9,8ee34f3,f5acf126,9b5c1928,8f54476c,84bfb9ad,da6d85a3,2e2aa1e7,9cd3fed6,71272155,3932ce17,44358636,a18230f6,b501579f,b3088955)
+,S(5639aa3e,230f2f1c,e10c34a3,1cd6c78f,c3c15c0,2061f3ca,55e09116,68b279de,e0b6e95c,15de7f0b,3fa3bc26,3a9e83e2,e3a7d51b,462709c,8ed6c2ec,b511bef1)
+,S(309cffcc,7b2f959d,85cef3d0,c25efc2b,693d3b6c,ad42ce4a,d8657652,d669ec44,3abb62f,d917b1be,79809520,5521d522,32f949a6,7999274b,cf7965b7,a950077d)
+,S(51f3d5d2,dac1d7c0,5d8eab6,375c9130,534a026a,48abf3ca,ce91af6e,533b86b2,50b1e7f,4bdc48ed,9f3fbfe0,ca05bdda,34f9cf2a,ad04235a,ba998a8f,a3e99f74)
+,S(8f563d18,33aa4100,4540e0c6,f501d327,4158b0f4,8b3e4e1f,a3fe25ee,29c2a244,4d4c71d8,5ea93371,57f5248d,a012898f,3d031d93,c1803589,2875928,67432193)
+,S(36ca2909,d68fdab9,cbc45b39,fb096ac0,3c4853c0,ee19d108,ee7c72c8,a77177a9,64f511df,c8252960,85f3d095,31467a5e,69cbf363,30e12ed6,90516208,d24301b0)
+,S(f628b8d5,1f3ffd7c,c201ca9c,2db26f0f,58dd918e,b4d70cf3,80734702,8ea306e0,bd6bce3,ea82e9b,2e8d6eb2,7f557def,b7c2d77d,e6329c1e,a2d360bb,d8adc2e8)
+,S(fb7a6bf5,a82c0b,b2a6922c,9d0350d4,b44fa7d7,61002f25,86e41152,c0e67c1b,c12a1c37,f1c9c703,1f1406,efe8f3e9,8419fc33,23a1acfb,345ebc9,4a702da1)
+,S(c2091919,5c3e2af2,df14080f,400c8c75,bf8ec01d,a5a5b033,75391fbc,fe78d092,b307b56f,cbebdab3,ef87b1fa,3b66c327,7aec3818,e880de6c,3826b632,f1adeb9)
+,S(7627df89,3d1727fa,a06d7c4c,93774a48,73c3bef8,d19bc03e,8d1bfe28,bd3192d1,35d2676c,36f455f7,aa29a865,f0776c52,1326dacf,f6d366f4,bcf726b1,b68451e1)
+,S(26666518,7c9f33a9,6d25df65,8dbfe035,a3df6f73,cb059639,ed54b296,2c62b9,bb30bbc7,d34a5e26,a51fe757,8356a876,c4e7fcae,f4a977ba,468025a4,c686630d)
+,S(3bda9185,fa9802e7,7dc6a02e,8f2a6f71,ef8b125f,735837bb,c7abf3a4,c62ac683,202edf2b,c11d1784,d7875a76,a0ae3876,22b3475c,bb0ca118,9362e54c,a05b85)
+,S(2f90bcde,4486b64d,81313c71,48570d22,3be1978b,7f524097,bc033d6b,983a5c4d,63864e50,2028d475,365b2e30,cca99dd,f4aa759e,cf579705,270fda71,bc384f89)
+,S(8893f5d4,e9b00e6f,dc992e65,4c9fcd71,7083edc2,6c71dcb6,562bcfbc,c8becda7,1faf3055,8e631074,fbf566a1,fe0c6996,a80fa29d,6cdb8313,fe313b4,b238ab50)
+,S(acfc4ae6,86be5de3,eda4fac5,4da73510,f482fc25,309ce37d,855c3495,8555abba,387f4597,d1878a6a,d37a5b99,8ec291fd,76423f7c,f9bd037c,b9071685,2ac52d87)
+,S(2ac4d090,a4c5e988,2f3a892d,d28a5229,d5fe35e7,d74660d9,5422a55e,2017a469,6058f516,2aa3ec45,47a79f2d,7d8e6869,927d172b,f75a1914,a3bc2571,df086c09)
+,S(137ed3f,fc13c572,e5bc235c,d13c7e62,c9b1a3ec,250c024e,9c9f584e,7ebadef6,c1e95cc,3a464f51,b43ff02,3c8758f1,319e7c2,f37acbf5,4fb8536a,8ec6fdba)
+,S(28a037a,72148a3d,2c89f606,81152b94,6cfb16f7,58f0a002,cfe4d857,ef3ecfe4,b2f4b650,135cde9b,8d3788cf,5c6e7a3a,ec595124,fa903aa8,a1bb3984,fb973d10)
+,S(303ecd51,8fd433fb,ce9d426e,8761a76f,78ad6d5b,5f34c0ae,3bbaddcf,1a7a9eeb,6a7fca44,3b73b19e,967a5945,a275cb1a,cbd8dc3e,89d85385,ea956339,99abb602)
+,S(cf63042e,5680f71c,2641defd,9d6569ba,c69cf079,f8b3140a,50923381,51533202,39f3376d,fb17fdc5,719a2052,5e1aa428,176643a,f50dc9b6,b8ff3401,eceb4ee8)
+,S(cfafbbef,b4a49fb6,96923b6f,2e56c493,34a229a8,e2dd968c,44f485aa,1b1fe4b7,dc0ed34d,4a9c17e1,ddfafbc7,1d76f71,f3950698,18faa16,b5d25c6,c69f9007)
+,S(ec0e3de1,fd527ea,6a493ff7,b3c6aa40,4a7ffd76,9a08953d,785d2f31,390d363e,94bddbce,300234c1,82f3c6a,717f53cd,723129c0,ff353528,fc5c285f,8e7a35dd)
+,S(f07d3cd1,914422cf,d4b9c0c3,501916bd,13e9cd84,eeb02f7f,84be2a40,4b2bcde0,cf0c96fa,cb393218,37c48de5,16d1f705,dfe91206,8ae2d810,3aa1f77b,39637320)
+,S(4a4254b6,6f2e204e,a3264ac0,a00c7a63,8a6fab7d,e67643e2,8217099f,3648db10,b5510e29,be93fc35,efbef989,15f7df95,b187ab08,bacb157a,c26ab2bc,2ee5023a)
+,S(56f3bcf,b38eaf1d,35e62582,9f671945,910285b0,3805c1d9,b5d813e8,e87774a8,a9b964e7,9e6b7f9a,9abf3e5c,a147f773,8a1e8270,8677e6ba,c57a7a75,d1ed9dc6)
+,S(f89d8f4e,7d32efc,c2d95bf,feaa4c9d,af6b9886,51fe7561,ace561be,6b081295,ca632f11,56a33867,63a65691,17186994,75e48f51,48d770d1,449ec719,8dbacc69)
+,S(5c3791a0,d3e716eb,50ae4a07,51f0e92b,2890b933,c6d9aaf9,758e5205,27c5530b,44ef13c6,2de52d11,179e30da,e913493a,c4ed861c,336ae1c3,ca1f8bab,a7b34616)
+,S(2748765a,e6baa4ae,62cd7156,16ceeadb,8ab94ef0,d3a3e331,15fa0132,aba38d27,71d4d19d,de63770d,60905bbe,6c7ae92a,f36b333,a93b3359,cd4f1f2,77f69e48)
+,S(964f1fa2,f8ecd778,2ce4ee1,87ee3e78,d2c41a0,45a95453,22e363be,bb27e254,c744bbca,de64a883,e9481a5f,a2cce621,5137ae00,3b9822e6,77556610,d4138a2e)
+,S(8bf60775,8709c9fa,8503594f,e6c379ff,ee758a07,4f7d2754,58985e25,79b8ca3b,3e638992,b3fbdd72,ff51cfb8,fb118d0e,ccc193ee,718a7715,a5ae6188,87dd51a4)
+,S(fa107123,9189239c,2bfc5a95,ddbee798,fbff70d8,ee0d5f5,a10238dd,2e06612,a60cd5e,1a4eb0a5,99133ea9,71d5ec1e,315a6be1,2d773936,c624c468,f968e7f1)
+,S(5b48c6d0,9f6f97fe,c03d145e,f797cb8b,3fe2503c,a8944593,83c34e51,44975588,44d86689,352611bc,c1291762,d965f136,173d6c45,28077d83,c6410a3a,906e30a0)
+,S(80e153e8,23aa7e3f,2865d1ea,1e5e88c8,5d4e854d,54bca5b1,ae8f1bca,eeb94fd0,edd3fe29,e435c11b,13a92d8,ef4f6413,c888a12c,71823f7,3ed7acba,a06b9728)
+,S(16e225d9,77bf7526,c2590dd1,54c6e29b,cd25de9f,7b1fe3d,ae7ed6d0,79ccf2c4,e0702d23,b9b57554,6d2db82a,fcdc22b7,40088c52,e0fa274d,d85188ac,9710768)
+,S(a3440a09,15a16c74,8221b65e,7825ebcb,bb064aa2,de3593ce,7a691efc,d9456938,ff7c7aa0,3a582a8f,5641323a,7f437a67,26fa5d3d,e7c3e26b,be970904,d4dbf40c)
+,S(8154334c,d1164468,2320401,f2d59385,8d607203,93eb37c8,a030e9e,cdaa2b5f,bba4094e,5f97e4e7,b0f0676f,4a091488,17126ad8,7d573d54,150139c6,5b3d5142)
+,S(c91348ca,27b5baca,3a092b25,74e09976,fe7f2361,3e1b5efa,329e6a5b,7d4d93c7,ce241d0d,e9d49a2c,5060e62d,c01bfb59,e7c37295,4095f639,9d61e73c,5976b44a)
+,S(9408b5a8,79fead4c,67635e99,59ca9649,cf362940,737e6436,3ba2590d,7e6e8a88,e10b410a,26c710c1,bf2858d5,21f46094,e02155d2,84b80fdf,cbf17645,7f994fc0)
+,S(b851d158,eefe48b8,79e0a159,f8582aae,f80ddf90,d9021b92,e7d3e7e5,d6bdd2ce,290ae2e1,792421,c1cc53f0,69c7d580,60facfd8,e537693f,6abdaa2,c6d85469)
+,S(9d320b4d,4a7c2007,65805387,5e536093,87e7a5b8,54da05eb,1b971e6a,e53d10fc,4f6acb7b,6a1f190d,6822acd0,ae783b0c,9b44be61,ca68306e,79603f47,25d7c456)
+,S(6d779810,7b29ec65,4ff86799,d13a4d89,eaa49114,d00744c2,2f30a9e8,358ac7b5,8f7993cc,105c4f09,ba060a2a,ce265cc5,77b2a334,3ba3880,4b0a3e79,db823950)
+,S(bdb2d2ce,77e14fb6,9a17d62d,b8056d28,680c9607,2c82772d,73c91da9,e57f6489,9c1ef71,d43c3b19,dcf8eced,ea6f5648,8a3bc00,3c2b0c1,84c9e42e,5baa590d)
+,S(49a8ccff,1ab70a94,a4db4787,f73bb058,1f7897a8,d0a1adea,741ffda3,f055b3fa,f298d277,2049ebd1,ee2414ed,6e053ad5,15b41914,fd6de43d,8bd9282a,6c6ba426)
+,S(ca3f7d6e,b466b7b0,56267992,d317a02d,3b3d5652,b51040d7,7f1a173a,769d2236,a26d6225,9dcf384e,f78e6f2b,f96a42c0,90e538ad,f6f1a1b7,126dbb12,8e145c37)
+,S(b672ce14,f1c427d1,b478469c,b0d08b99,902e9cad,a66bc65b,c00ea630,737176e4,176c0979,15176,27a0f1af,f3c5a56c,83f4f550,b8c4bedd,b818bf76,68865efa)
+,S(bdcbab57,d4ad621b,d6db6866,f43778aa,2c26dd78,8f2e968b,da3c913a,ee9c199b,79868872,9bb213fd,7dc75a33,8d6168da,1cee9f0e,e93c7c11,24055232,88df5603)
+,S(f5f25f1e,382f7df5,74c64aa9,6c5f423e,d5beed0,82d80196,1cb384b2,55fbf9f5,ea388f0b,5ad84aae,58393a82,9a50a4d0,f54bc068,e12724c,98a9dffa,f2210221)
+,S(d2a10464,f9f8ab9e,1ca6e280,b2747c43,60372049,85a2650a,a730b894,16ae09c3,d19719ed,8dc46533,28d8dca,f2c902eb,2c9ffaeb,ab3c1b45,4fdcf68b,229c5962)
+,S(89255afe,e6724c4b,c5522105,8e5e6aa5,19058c3f,f3ff691c,c5f81a00,20410038,8d626dd,9560c934,11b52ffb,4fbab500,c833c3b4,671713e6,9147d8af,da3fd7bd)
+,S(5e468c42,c5eceeee,2a67d73f,57819019,5165e3f2,6c93f94,beb12fbd,556e3952,af83e24a,467f97e2,ab8b6a8c,330e400f,ce1fdeb4,3a4ae1ed,c3866505,8cf240de)
+,S(70c2bfac,9eca198b,f606850e,8f54ab03,552caf8e,9385036d,7fc85007,e99c4e2c,60322365,f5ffae57,8a8f9939,20cf7596,3b45d940,d2c4591,544feb6c,d6ea37b3)
+,S(16143d3a,fe5f6b42,500f86d,7c79630f,bbb0db1a,64e901ee,ab641c0c,b9c2f318,7078e814,bdf81d7,81109561,d4d1cd37,9fd74924,4cad1e68,ecb8b247,d76a8a94)
+,S(8ac33ead,a9341644,db25b034,60ff60ab,e1326eb7,73a0bed0,29f6e966,16b62bce,6d07756,6f0d18b4,bd055d0e,d99bda50,ea9e614f,da46005d,c6d9dbfd,18945cc6)
+,S(476b98b8,9e7feafd,ef5f0116,6e0c8eb6,70cb3325,a10fbce7,71ea9e06,2566e22a,38dbf041,83252b86,7e138483,c012f220,fd98bd5d,b80fbf47,30c5d0e1,d6a91050)
+,S(e4d262ef,f0de9c3b,d3302bcb,321adfa1,2e383a7f,19297058,a19c453e,ed497f11,a1f830fc,2fd6120c,8f2070c4,9ea49001,953d0c0e,7c02050b,fec7cf7b,ce2781d3)
+,S(67bc850f,48f0be1b,f18c4f7c,b9f33e67,e2e09279,4196d987,1bec0fcf,f0b5cbf8,e2560470,334aa4b2,4693e927,1d2f20cd,b7e6fabc,92e0f355,526dceb8,5f52d32f)
+,S(50dcb2c5,c0dd4942,2564be02,2ab274e,b543a6a5,a2712b8d,58f51e12,72ef2797,2cbc036f,b69c44c9,9c7854b4,9705dccb,8d2ea16a,2f77fca8,90d89f8d,4ab04ea0)
+,S(6c9bc577,784948f4,1e8a57f1,bddf5665,f860804e,89912876,44ba7b76,8758bd6e,84a671f3,5998ac84,7329ca3d,1224901b,a0401915,c9280260,cd40ff44,ebb3ff20)
+,S(5dac93c6,d27cdbb9,9f3ceb36,18c6ead1,28b44146,467390e7,a337c494,8382a868,86572065,1805082e,7434578a,a97704f8,8a91c2b8,e315ed8b,ac2a4bf8,342df508)
+,S(207903c6,5e1c57e1,7a6e9484,d3073c0f,f6b2a40a,b46b996f,2ed2be7c,85780c86,4b568420,29564d4f,6c4fd310,73e17a3a,bbdcb83,115a6c14,854633c1,47f6a442)
+,S(da025f63,9be593e9,3ab35113,2282830f,6ffbc94c,829111dd,29546221,2edc2f90,9b4acdeb,a315e576,f0edea9a,21acf5c8,714defa6,5ef4ae68,eb694383,916d2723)
+,S(327faacd,1b489c8,2126ffa6,b87cf191,2a0f61f5,ee47eea5,6030a50f,b2823cb1,634ab42,6010009b,144c5ac2,903e5f8b,14c00c67,5fe177e9,6b7f9ecf,b8c33b9b)
+,S(44cffbee,1619f462,a853478b,a9d1bfd8,6c9cab17,f5bf50cc,79a24558,7b7e8084,b08983db,62079e28,7eaf8c28,81079a45,76442a1c,fe35f64,563c714d,748e7da4)
+,S(c5d945ca,13730ce2,c21ad679,734d1deb,beb19785,480f93a,43a2170e,6a6fe3a,a3aad11b,4d8b7140,f67f7287,8e4a9c1f,74102ffb,ca3ef04,46e7bf1b,ae3cc3fb)
+,S(f4d8cf19,84dfe935,11b2694b,8f1db0ed,d4bf22f6,435359e6,77fa42e1,cec0de31,83d02d22,3aae1880,d7ad76bf,c7e3bfde,5b48a55d,4fb0ff02,c0ba5c2,e9a30845)
+,S(13d721dc,8e7b0bc8,90c6380a,fd0f0ee7,a2dce0e1,e153ae70,7e50ae7c,1837c4cd,c620c1e3,e1575411,7eb9e823,70af7e4c,9309c412,d5f14d28,e976112e,88841116)
+,S(e5f9efa6,66fc6728,207eb55d,94c1daf2,5164824c,e27b1783,92862e11,6265ce1a,500a9fe6,18302bb5,22ff9fbe,163d79b6,1f0f3cf,53e0956c,7712f23d,5c0d9975)
+,S(73ee3cbd,a1ba137,65a7abb9,827b1b32,a48ea0e0,a43e9698,8da603c3,c319c9ec,d96832b4,4093689c,beb30bd5,a2e825f3,bbc909d0,20e18744,b0a5ec5a,1ab38f58)
+,S(11b92fc5,94046bba,813285e7,122750a4,3e028501,f027a55d,f101d2cf,c5990d91,e08b24aa,e20fcfe0,40dcfcd0,80949b2c,23b324cd,1d957b63,9fe91716,a4315417)
+,S(3043669c,22be0dc5,fb14442a,22a625d,b1bf4952,362f06a0,623ca1cf,9160935b,dc4834b0,4bf47d6b,fad52c04,4d26e21b,41eeadb2,5c92ca22,6dd2c86,24d0eb34)
+,S(490c39aa,c290d144,2b87622b,407dec4a,3f92aa61,6a9c8495,132b5c7d,3d5f9a0c,5c76c0fd,57844aa6,fe81361f,73cb314f,110f87de,6773e1ea,b3d68dae,2926b986)
+,S(fdd5cd58,67d73347,ca1fb212,772b0c42,3a4caf94,a3e0bf2d,2bbb2433,9002d03a,efe5f407,d1d26bc7,6fb5bcc0,6bc94da5,bd69f84c,85d89172,10bce909,77411995)
+,S(bc8a108e,b0830fce,443db272,2655ac40,e2d35989,cad192d8,e9c5017,14435ea9,924c0258,cbc3da74,a708a384,b93196c0,76bd3af6,2907cd60,22069b93,e3c979f9)
+,S(ed809b6e,41f4b6cb,86ae431a,718989cd,2c706ea4,10152e3b,3395df8e,ae924b44,135d805c,3295589,c8d42ffe,947aa88,bede6699,b119f8a,324c9bfc,64315da8)
+,S(26b50ac7,5d871e07,4147d2f1,ee42d6a8,4398212,79e9f276,7978517b,6cda52d8,26599c63,86426e9f,b14b4c8,3494f0e,1fe37ea0,521e4518,e346bad,545dd7a0)
+,S(cced88de,27d0ccd4,7f6746ff,98907cf1,679f6b10,67785dd7,25ab94d4,9fe8efd5,5b0ede2b,4dc584ac,b4b6adc2,c52b4268,e2beba67,ce2bc825,fe4df43d,73f5729a)
+,S(d8edf7cb,31526332,308429c1,178886ce,bf3fe516,18f472bb,52da883d,d83c6249,a56abc3e,c155eef6,d43427e1,30ba691d,8c71b80,6b487343,7f3daf07,17984be3)
+,S(ed82c3c9,f8db3a75,50949aa5,cd6c8fce,52648910,53f66515,c2fb71c4,7564b4ef,5ee59949,6d9d3c7,6fa9a26d,444a8a45,41ddccc8,15fccf39,b06e8fe5,20b2f0b4)
+,S(6e277bae,e89aeb54,5e6249d,56d50848,5853b3ad,8588365e,7771ae44,3d8ca937,84871bd8,1e6f94a7,c31a3fe6,63a1170c,8f9623dc,4e24a5b4,3f7d023,39f40b8e)
+,S(aeb67ac8,67271210,565b1229,3e1aff94,f2f8b642,76768967,f702afb9,48a03c5c,fcd3c588,94259c03,cde7898d,66ff5ac6,747100bf,3707e89b,6980d21d,78bde197)
+,S(9f07ff4b,aa20c756,94c967d1,e38633e8,45753193,a3d13af2,3ba7ce07,5283da79,ae8b7f0d,49d06168,ff3c5f36,3aca3f1c,14308cf7,d95bae36,3975fb7f,dff2136b)
+,S(24046d14,a026daba,1644b3ef,7bc5501b,baafc3c9,76acfdf7,243395d5,713e1520,265485e9,6dc40a31,ba93cd0e,915534b4,37fd5380,bad0d6cd,321867cc,aa029ae6)
+,S(1376926,bf8fd1c6,80344f48,c574e6b9,1806afab,7d9f90c9,13bbc233,2b3de519,a34100e7,c4b44c26,f86b2198,e7d3696d,8aed9051,a1755ced,56ebe795,d5a61fa5)
+,S(943c6d4e,816cc668,87f7c85f,b116ae82,5e4c38a6,581cd5f1,1efc9a3e,ef5a7d6e,d93d4724,f618da6d,29e35165,7883ee36,74112f70,3169eb24,eca31a60,969de8dd)
+,S(adf8041f,159260fd,cafc9e61,d5f4f867,a0f46e94,af60bf53,d4d0808e,885432d9,c4eaba1f,99d2516f,3d731bcb,be90b36e,c055ff5d,e6c3ed95,2b95a037,1be57958)
+,S(15c17f13,a404ae08,11ddefb6,707a9fa9,dc0d9461,8325dbb8,d96537c0,6e2dcc44,8740d352,21f95e8,36842b48,2512d79d,a799fb62,60d65dc6,79df383a,e9b6898e)
+,S(87bbbb35,62365994,9c5bd575,86b813dc,966ec9ed,1ac31435,80e4b7cd,cacb8ca0,159992c,1bfc3c24,95e14ccb,e24a3e9b,6a28f4e9,1cad4a36,f83624a8,d22a48c4)
+,S(39bd144a,96454c1,9e082b5f,eae9c433,564da73c,d5d44daf,95b5c176,9f1fa105,ffe8a11c,30b5d4d6,f8abe12e,bc3ca8f9,dadf1527,330319bc,fa277b13,256fb207)
+,S(c4e4eb4f,9bcec0c6,6bb99bfe,265b2f4c,a1c69676,ee970a9a,b78bbd64,a83bca7a,1bb9a83d,316cb9c4,bce4be2b,d05e6381,2ecb493b,44fc3cb7,c2248a0e,96bfc286)
+,S(c183e783,1c80d334,f0ddd2f4,48ca035e,8b53f034,f53c1801,488e4aec,cf244e69,f998feaa,c7711d48,3db38926,8ddc080c,8ff2f95,494e60b1,59330d8b,d9a8b820)
+,S(99d1d7ac,22a2e108,f093b630,f374d9d2,7ac812d9,5753bb6b,e39c2401,fed47d92,a67d334,88dfe341,e8dca3d9,b36a897b,52080a3d,c366c8b0,39cc4de3,52d0e1f0)
+,S(e0700a5d,16cd89bb,df3d6f18,76909082,985a3339,e7f5d2bc,5c3ccc92,ad61cea5,26f6abe0,38953fa8,40bec97b,c9d59c20,1fd08b29,4a7ac7e3,bd994e07,70a0b0f0)
+,S(b19bf6e8,cf36d839,51b813b5,67aa62ee,5415e95c,d3fa668b,55487a3e,61a7e721,630e78a5,ca2cdb2e,cd59f59e,4c10e712,46c1055b,a7709041,fc03f8b9,1970153d)
+,S(25009156,e90dd0ec,88027adf,a9701474,39abaf72,1c333943,c6fe6e19,ff71fd44,324047dc,86477632,214ed74,cb933859,b7825500,2d19ddec,9c466e1f,573afc11)
+,S(45ce7fe8,bbe45d1c,9bb0c98d,9d4c500a,aca5011f,96238681,771b8538,61a3e4ae,8cbc22af,d1adb8f0,a5c72570,2b6c7f65,9e41b176,1358832,7ca062e4,2392f8b1)
+,S(73255507,d3a27fc6,7df39212,a286ef6,b939e953,43b12683,4e38148b,619ec059,3174d6e6,e941020d,db0f3ded,aed6c8cc,eeba10ed,1344ce28,a354e93f,25c35b63)
+,S(96b2cef4,1c6c39e,1ec9a945,8c8bad3f,6025962d,a1207885,97800ac1,c811df58,ed85ed21,41b4ad26,3adab5b7,c0c0035c,2fbf9e2d,983dda99,7d1249c6,8a7fa8cd)
+,S(5764181c,d941b28a,a307bebb,912ae87,57f23cc9,37025cdb,b983eef6,42b9c772,e8173b4f,c23908fd,db5f6437,5457a43d,2495764c,f3ce1b8e,f2c8d2be,e0ac7089)
+,S(38ec7839,7e965056,2b1e314,5d5b2782,ea16d2a3,82bb6c60,efd29edc,93ec1b61,acf04ea4,c7b6de2c,d8acaa3b,a4bf2656,f522e631,1cd51089,744d4c96,318ec96e)
+,S(6ec4ef80,13d01c79,758439fa,108f7389,79c9f7dd,4b285eb8,b7aed579,76c0b572,2328e642,e618ecdf,3a6560e,3eb6af15,7a6d266a,f5f3c4df,13c1ba2f,c898be7e)
+,S(d8da1f6b,30c27b1a,5000fc14,9a768683,4c40a581,c4ed67ba,88492449,ef77141b,ccb532d6,876d92cf,2b8c310,839387d7,d92464e1,727287dc,49a3b348,2d519758)
+,S(84f25402,734970ec,966aa9f0,eca84a1e,6894d36c,338722b4,e5fed162,8f7ccb90,f2d7fd09,f07e6302,cc97d283,d9f06319,9bee137,d3946944,983c2192,335cd8b1)
+,S(ef6752b5,58874372,859190e3,91d86ff7,3adabfd4,cf008038,136b2ddc,ce9503e3,23d9ca50,13cb479,7cbaa675,98dcf98e,73f949e4,614390f9,1e6159f8,3f131c56)
+,S(f88d8590,3b3fe67c,f641cb52,c77c776c,fe198f74,fe116a46,602bc2c0,1085ba6d,58af2abd,2178ad68,a3695714,cddf14e4,21da61a2,8e6cfa32,40507fb7,ba08742d)
+,S(93b739bd,d366b95c,675daaa8,c5ded7d2,18cde6d5,d15d354,645de017,2db9c01c,24ec535,6c2f8eaa,633af5b9,6ae0fcad,7afea5f1,c7c8bfb4,748b886e,25cf3627)
+,S(732cf404,da7ae5a2,dbf82f80,180c1154,6d313b92,58980f95,d413f223,443394,858e8326,1758b90a,902eae58,a777b56,e8820084,153c9e43,1b7d789a,4d596953)
+,S(efde0719,2c40002d,3f82e024,a1b838b7,65fc252b,5be4af75,28ea5994,a9d36e32,89c1d35c,3a153576,91a63585,183a9c6f,b8dd69b5,69d45483,f0c2f80d,3dd9107b)
+,S(9eedaaf2,80693392,76420c1c,da950bda,f114e65b,9b1a74a6,b42dd90c,1ec90a15,1399dc24,7fa540cd,3249728d,a4d28c52,26f427e1,ac3b533,7de8ba07,d3164de2)
+,S(23f0ea8d,342aa214,69deaafe,bfdb487f,775805c7,d4ba17dd,877d3d42,19433195,dc1c6e31,d2a481c5,5d32ca8d,1d4e93c1,63444dc3,9e7c306e,4fcbfd46,b699b03)
+,S(d85270,58c29e60,58916e82,76a305d2,edd47c0d,4e33052c,74cb76e,abe060b8,9a0e4904,e4db5bb9,5ec9e510,59ea4993,84d497b6,8a9a1258,3a2fda6e,bd0cfac8)
+,S(1b34c95c,ccf91204,5922d2d1,90cf3860,f7d36b37,7ab3763a,d4d9046b,309f28b8,70c2320c,3f5f663a,b6478c3d,2607cb4d,f7080de8,91bb408f,6f14a11e,2951e948)
+,S(32558fdc,ae5e596b,b756d4e2,f10707a,89569d36,1498e8c2,8fca1473,4b84b228,7759a8b7,5ed5755b,b23978c4,3d5aacd9,fe63f6e0,74b6fcfb,501906f9,16038d86)
+,S(64818b77,37d2bc57,391a3820,2040afbd,6028d7ec,fa3d6bf8,577cb1e8,dd984acd,4202b934,6ae9554d,9227b891,4a6304bd,2cf895ec,a7267e1f,5707489,71ca2300)
+,S(c6af6ac6,ec2d7cb5,42aa2373,24288551,bcd33705,72e1b1aa,e572d87d,8d77b333,fffe5559,4ae5a2df,18e393bc,dd0407ed,5d5af18b,85f22352,9fcc7cda,dec78cbf)
+,S(91f8fc44,94ea12f8,fa2a031,7f32fd44,2e7a9e34,28eeaf13,a8b0de3e,a4f1cef0,6a0a47a,d81b1dd0,ac6765f4,20cc26af,e76c2225,eaea2a42,481ff6d9,a554dbcf)
+,S(e159a9fa,6a26f57c,879b081f,dc015b46,dc610a61,2335d6c8,e353fc42,11c1c017,c209c643,445ae009,a75656f9,b4c1df2c,f1c181c7,ca81d0b6,bd749afa,a93e8851)
+,S(e8e9fc5e,135f3a97,1211eda9,c06d283f,1a705169,b89e5813,556beba5,a4f9330b,e8b96899,3b73e8f6,da7b55fa,6f1e44b5,c88423b9,f3fc5553,fe0b10d4,e9af0abb)
+,S(f3f5d529,d5ae4c0c,36c27ec6,e13384b4,11aa9818,aeefb5b1,64243536,bc0edead,3f740643,1e40c133,345abbc4,ffc5e0aa,1dd1e306,43e52ae5,33f5be61,db3d34b9)
+,S(c5b76430,f5d8bb9a,e1b9acff,e1417602,9eae65c,9ca1606a,2e4f6d7,6cc81159,80689f09,70089098,24087591,6915380a,29b13933,9a000fad,d2e86d8,cf2429c1)
+,S(954aa4b4,34f59074,45ed30c9,ffb6db50,ff275564,72894261,e935109c,cfc09b0,8023ca86,1bad2c25,6cd76be8,b3b0fcf3,a808b76e,80a70ec5,83265d3d,c72e4ad)
+,S(55da8bb,4803f339,3020c9b9,30a58336,1b96ee54,4bbb4249,d6df1335,6e3d528b,dcc44b88,ca06e9f5,86cbb209,da01785c,2387b14d,355a2575,799ef7ce,32e5b64c)
+,S(8084e800,d810b286,b0ad48d3,d262b4e1,db59eabc,a176e368,77a7f8bb,a3a1de03,d8beea9c,59f865fc,9f09c12,9bc5f980,70d60ac,eb348f85,e0888fc4,63dc1480)
+,S(1b2bb6c2,36c87f88,748f49a1,5094949b,d15e0217,b00c0bd7,f85efa41,5718b39b,2164b195,6aadf36e,f1bdd018,6bea9a4,c3c3f42c,b0e81dc,8101ad14,51029c74)
+,S(fba687e8,125c372,e5dc65ce,3d2febed,de9139d9,9f91ad84,830da38a,54377872,8944eadf,3b89501,ca4a7a82,105a9613,55aabbf2,57f4bf83,923ec12,73e001c9)
+,S(b58e4b80,a5f1c16f,f9c699c9,75a2d797,d21e155e,f091ba94,8aae2dfe,fd560cbd,fff9caba,1429bfa6,e571b7f4,12d6aa97,4606f7d,9025efec,937a5128,52cec3ec)
+,S(8ebcd526,da5d6c21,55222551,e05c6be4,114fdb7c,9d43a900,fcef17ce,3426edec,73a0fb98,6b3301b6,3eaaafb1,a52f5467,de11f034,aeedc21e,ae97df86,513aa97e)
+,S(fba4540b,924b29e8,95dc68f0,e971549b,7354e032,64040d2d,bb956691,1bee325e,529088c3,3b9857ae,342ba0d0,7e52843a,290f3c27,16f5321b,6c9e6f51,9105ebd4)
+,S(8b7a2c97,a1a7d324,6d86301a,66f3f36e,ce014c97,651b25b0,ab46f4e8,bf9c44de,b82854ab,699c35b3,6786c1f4,71ea7536,7c88a684,43fc17b9,4cb328fd,a4b247c7)
+,S(9df11743,5adb7154,e7003bbb,a1ba909b,93179677,4bd4896f,40c39a58,ead2279c,a7922f4e,a216cc36,c36913d6,e7ab8641,d4566865,dd7a2f83,77ef219b,41b884eb)
+,S(5beb7b84,749b444c,82efd9e7,37314892,c54b6215,c1f9be9e,414adae4,56931cd8,99e425f,32cd0a7c,28e753fb,ff308eff,d32b7cfc,eb51df7b,64f60e9b,2fabb95c)
+,S(2a830c43,ff204ba,78c5114f,4a3b7b09,c9f8ed5d,17066f43,cd512af6,4c788879,12523a4,e8882652,eba827fe,d207eb00,9ba14809,9ee42865,61e96230,62666c84)
+,S(f71a46a1,4c1f2a18,e68ab408,bcd32d94,985a7714,19c1419,1b69221e,1c57486a,adf19b3e,ea79a53,4fcce36a,4cc0da0f,4fac443f,b281cf0a,ef675b6d,20534875)
+,S(2b80e5dc,aa9c2b31,678ae2d9,f7d63c0c,bbad2bab,36c412fd,cb6436a7,c69d193b,bc83e04d,71d60062,b681ce04,c506247b,8f3c9019,c2084ffa,27621d62,22119c3)
+,S(49cbdf3b,e521c69c,68375b58,d4449341,75424a0c,3c45d5b,b975235c,e63beece,c5615eea,f0f0e7ce,c3756aba,d3a136ae,91d260f1,563997a8,ae46c49a,5c62de7f)
+,S(ce4d4714,b643b115,9215e2f3,1dd070f7,f7aa663b,9ca87739,79c5ba31,ce9ee1b2,b1f35e12,a2fc3aa3,4db59ef5,e62101b0,479745b4,200c10aa,d6f8fddb,1efeac38)
+,S(6827b6bb,aa905ac3,8d93bb1b,5d5881c5,a8bef479,ed7c5656,2992d4dd,61e10054,8524a87b,af65020d,91848427,95801f54,30fc3727,7ef2064d,1aff8ecf,296bb869)
+,S(e71e4d5,48f4d7f1,c7b7879a,a03a49a0,ab947218,b16dd125,19af4ad1,8056535f,495d0461,7098b3d5,6f7e3bed,ab5c9813,83aeed68,3ded1c09,f0d1bb38,e32f574)
+,S(ef683979,7429fb30,d436aa32,a3feda68,65652816,873ce542,6320667c,6e00e032,b4b18e4a,de1197e8,fded846,f188a6ac,2f17506,f014d404,fbba3635,534613f)
+,S(c729c1,ac8f7eff,e908007d,e2eed85,dd557e36,c1ec645b,a258b03,e52deaf4,2e83edc2,18584f6a,c5ebade6,a335a087,12365b89,ac38f27,bde7ebf4,561305fe)
+,S(cf1d3919,9a716d53,b2bc4f2c,3ae2ded1,290d54c2,2124a88c,c1cc7fb1,115735ab,6b44f5a5,7ec3402c,e8980970,dab8538b,c276c8ee,ad542908,9b7b70d6,dd00e6e6)
+,S(6cf3d7a0,266dee28,f3f1f772,ee90da75,a9c28a7f,f82d8f55,cf9d609a,5becdeae,3bd18fb3,1e11cce2,895b9cf9,4d9a99bc,ede5c9b4,c44ede14,34dfaeb,49bc58d4)
+,S(da4b5832,ae63eeca,cdee4274,f00ae932,56393cae,cf830be7,f28749c0,7d395542,9aabb23b,d2d940f1,815610c9,d1684b92,106374e3,1b694ec4,dfec8818,cdb2210b)
+,S(f91ae350,23210e16,f9c63270,cea2c6bf,407d1a10,e95842d4,b8ad5f7a,4330bbfa,1f161ac,d1962573,5969290e,fd3d1af1,53c91543,33651e16,1b51086b,913aa1c2)
+,S(7e1bef52,cc3e2a2e,45847c86,27328526,c72e3f73,fa1c8255,56c874b2,f2f1ac02,be4b0f7e,a706e4d3,db7048fe,e0fc4f50,8ff0523,ee8d97f4,4c4c1787,e6f6e6fe)
+,S(dd2695d,30dc2ee3,748e256c,cdc92eb7,706567f1,4be720ec,b27fc814,d3d5998f,9af32c44,f1028013,9ee7cf99,845472b5,bba67740,f0f0b96e,d1a02a19,a32dc74f)
+,S(78fae650,714763c8,d12602ba,33b76da,125fe395,43fb37c9,4d20b337,649dbb9d,78dc4c0f,726cce6,f65826e5,eaf1fea4,c3b92532,6624ce1,21de2351,bfce3aa6)
+,S(1edf521e,510e5dd2,aa1d3e00,d016b45a,1b6fb6b8,591d98df,ee692636,8dc98bd5,9a0d016d,9b2e9b8d,d0f4d817,71ab0f20,aeafd8d3,63beca59,7518da41,55311f86)
+,S(8607bb0c,5e53b60b,9153272c,d3cc69e4,7ce28694,37562b4d,4166aa18,d0101d39,15ca31e,c83c6541,c35a294a,a648af8e,38870757,27924e98,8ef566d5,96eb519a)
+,S(65fd300d,9a0503f7,80a0dbb7,c42b9bb7,37f9607,912f2df7,166b65f7,96d02eab,fcd15350,84fba852,11f94540,1f6b43f2,904caf3c,d44ecaa5,335b928b,4ea3b5d9)
+,S(c918b3a7,6c847ce1,c01845f0,34ccbeb3,36d031a9,33093f99,f47f1458,cc02d148,f256f403,dbbb2e20,32063270,faa6e62,596329d,ca85ceb5,3ed3adfd,7f728568)
+,S(6ac2dcfd,2f0b879,becb429,140ade0d,532e54d4,dbe0bbb5,c1352ace,5661817,f2c26310,abf9396c,5af23074,e72251c3,784c3de3,60466dc,ccaaae16,4a9e2af3)
+,S(8d71c4ee,54acf389,cee39b94,b5feb2b2,cf8e95a9,45f6a95f,5b0bff2f,cb3f3d19,98442bd9,5a02c1c4,7dba3881,e3306103,f0bc8857,89b44cb6,54875847,f1ce52d)
+,S(e8bd24d3,fd557118,f2c0abbb,511e874,2e5d7368,a909b072,b3dee124,44f583c3,e1d2c3a6,e28622db,65b7992a,6716459e,2380285a,cd60f43a,4d4b1bf0,8bce6538)
+,S(62dc2975,5cf8cf89,e52c8c51,6311e3b4,483fd024,ab2ad1d0,32d7255a,3c075217,799e132,d80d22d8,e0f01e9c,d0954251,8b3fc8a9,48f3cd1e,9391f8f,5c0e2a97)
+,S(37db13aa,cf727e60,cb102709,9c7d3c07,4d43234f,66a95451,a6050496,d44c0e13,c383bbe,8f8ceff4,196e9d07,e013a1f6,d3402a6d,d09eafb0,62924334,89b1066b)
+,S(37bfb765,eab7719e,c858e17c,472f1df1,be9dc439,2699ec39,37875b30,fb2aa1ab,72718bfd,865dc4c2,2f935f4a,98af8ca6,5cf44b5d,66f0eea,23b53563,d1721364)
+,S(433ede12,87fcbf35,5fdba6e1,f62148a7,b5d5c3fe,1200d456,6dba452,a85d1b94,b27c5613,ad6e513b,28f0c959,13e30781,137a4c7c,7aee6e60,5715d949,4757c20e)
+,S(e582d9f,c5ed0de6,92a1917f,6ab7df46,d23295d0,b8b27b32,3af9a57d,3e671861,33ee8785,e2770dbd,7e79faa5,386cb1d1,d1c9e073,1b78dfd6,5571deff,d4073154)
+,S(60b07b40,634bf15a,ee2d4e5d,a0f06ade,ad8fae01,4a6a189e,4e428600,4c9442c2,fee087cd,d243ba,62b4a2cd,68d8aac5,1557f29c,a57b0f37,ff2119b1,bc4b283d)
+,S(4b167276,1e5f7ca,a245e35,b6e88fba,643e6da7,ce37c9b2,10265ad3,2de03100,28aacf02,476887e0,90d26c1d,cd51f15c,cacda02b,b6314a64,73b90c93,8ed8dde7)
+,S(5d56113d,6d797e74,c4803e63,89a88ae2,fab97de1,4ed4e7b2,a17d2f9b,fe2a3170,94ef2a8,534eb2ff,a62462a2,7eb2b34e,c6545992,e2d973ab,ee42b1e7,d9cd524f)
+,S(a9d03fae,75111ad8,d1157287,8e8c4473,f4a06cd8,f28dfa7e,e38b3d06,3a34f828,a0733c0c,c7319879,2ca665bf,968f6bab,480c94b4,c7de262e,4d9d1f95,33517881)
+,S(74199571,2b1abce9,ed4db3b7,7b3f7e70,58fd3716,1666c522,50855f25,660e1ad5,710caea8,97f7589,cfd3b8a3,22726000,ea3ef2c1,8aac385f,22b67bd9,da44db)
+,S(9f16990d,bf81a5b1,eeba1e5f,84673e16,ba0106f2,acc68be7,cabab96f,25918dc8,d60d47b,62321042,34c49d39,c03806ab,135d46f1,ea6587b0,f0b6588c,50ebc4f5)
+,S(3b5069bc,4f12b9a7,ad91c888,fabd15a7,c99143f4,c8b24619,b6a70c0b,2301d57d,dbb87cd1,ae59a944,9fb4ddfd,4b311d66,da18544e,a86b75a8,979828c7,fddd1a79)
+,S(9dea63a9,67b5a36e,bbbf9af,bbfabb31,f90cdcd7,9b75c68,1159b946,dabaee90,b14bb99b,11bab958,e31a605c,e9180d23,5c7d2eb,94d4de57,b8a66627,c6bc4464)
+,S(d0b23392,1da36a84,2565cb53,4411e63b,9fe6b2c,c33c3a18,8e0ddf48,55e31e79,80ed93ea,1a6e5492,dcaf1cfc,c350b3b2,99117276,43fb6a75,15c435e5,f74f8e9)
+,S(8adc9655,966ae44b,f98ca7a4,9f441e3f,acfe85c8,f7111da5,52c817b3,90b03d20,ce72054c,6a717312,180c80ea,c9337430,5dd1d566,db1b93b4,eed1a6e5,73c0021e)
+,S(f6f76bf8,cf6d3dea,700800b6,d018a4a6,141ac610,e2e13fe3,ec916726,1e0c1670,b2c478af,e1ea9876,98e5e2a1,6b3a4ee,63e4fef7,6644da54,e241c395,3f9a302c)
+,S(d58287d,38b7da30,174fcaa1,873b3913,2176388d,6da5f9fe,f873d86f,14b898e5,785fc934,69ed085e,8318f91d,114ad0cf,da2b8ff5,61e545ee,3502e9ec,6afc8402)
+,S(7772ca23,50c5ee55,9ffe810c,6d8702c1,538e3d11,f4b8354a,2fbf674,39a3661c,5a2312de,853fda14,5b48aefb,23e98e4f,fe3dd3a8,ae1fcd6c,931d9a43,686edddb)
+,S(a2f9f976,c50f3687,7ad0ac95,efc3fb2c,46ce903e,76ade308,69705df,72433ad5,ec565311,24c289f3,35e11b22,bf8d7445,f201dd4b,68afa38a,22af056f,c8c285f3)
+,S(e20d9765,85f8c567,24d0ec16,5ad27110,26fce166,b52ce11b,cb221a80,4f8b15f7,63b61933,c7f63862,98b48b6b,c6abb54b,21d08220,166ac31b,fc85d4dd,998f33fb)
+,S(8868b59d,ca1de2,cbe98d94,506db1df,659ba688,b2bf093e,42dcec03,acecc18f,f02e9b07,96b98fb0,51dbfe8,4524ebf6,dea56251,afb53076,e2215d83,fcf2fd0e)
+,S(1099f82f,e32a1361,a785f86b,9a6bf0e8,99c83226,7826d6a4,3f8581b8,89fb677c,13fb83f2,9aa7f271,2cf20cd3,592eac46,cd2d3e61,9afe9aac,7fcf37d8,9c44445b)
+,S(4af9c696,77ece7b3,5f732969,8ca61b27,deae65ca,ee2d5d31,ef2051f4,35cbeea3,73004596,429da976,f96e3f80,a24408a4,ebfe5196,8130c698,5b210826,664e5ef0)
+,S(9680cbca,5aceb8b0,322d4bbe,8713cab9,300d1f8b,d16ee045,edb3b543,57dab473,2f293940,e36ba1d2,ecd4697c,209b33e0,6904ee3c,2798aaec,e9131d9,bd0df58a)
+,S(7eefcc3a,fd6347f0,5f9c3720,31480c92,3eb7fdfa,d6e9c0ee,4e2db9ae,27fae7c2,b8e9fa75,4f745c14,7c753e42,17bb1e28,7bb93d9d,aceb357e,9738f10b,fb5cac06)
+,S(b823156,d63612b9,3461fbf3,6894955d,65e7805,b025c2fe,98fd46fb,2f9fddb4,f23c517a,826fe91e,45f453eb,fe9eadd4,d0b537c6,a2a8f60c,dab9dc58,10bd465a)
+,S(e801d35e,2035fd54,92178706,e2e765a9,bfb9de22,e89182b4,4d5144d3,85bdadd9,1e648234,27dee6f0,818868e0,419e37a9,1c216200,3faa7478,48161809,76956a26)
+,S(e9d4610e,56b70969,284369e5,7e890fc,29fd7750,8489a1c,2f348f52,cdc67f3a,8e5f6aac,357d82e1,a29bfca2,2ee4516b,1df0e622,257c2c1f,7d9a84fe,b48e4a0e)
+,S(71c3ef0f,51d6ddee,340d7aa0,94680084,b94bae8a,e3528ff,4a481af6,d3b7609b,4d1674dc,2f8087a3,138adc4d,aa615a43,db6886d4,4992fca4,544f57e3,315f6b96)
+,S(9567ce43,b6f5c41f,bdf8b44d,938abac5,21aadb83,c157b947,ce999c0e,4a7d6f20,c9d86317,31ea318,a647ca8,945cc35d,1fd0fdd9,b2de4fe3,5e2a0021,33a35538)
+,S(34523d4f,81166739,10b3de85,11a1921,4f8fc753,fd8963e,b9db22b7,8edcc141,900fb9fe,268b88eb,9b80a066,277d8ba,877bca84,f277dce7,7d6e90c4,8422ac90)
+,S(69fd1f7e,5f1c43df,a2f4350b,f20e5cf1,f2993dfc,b61cd278,1590ad79,e3c1bd98,633726cf,8b74940a,edb15665,a9277973,2d1c923,2bcdd615,43c9f3a,6c51d7f3)
+,S(e4c2c424,c28cb8f7,3146dd39,bb4fc6ba,411b2a75,e317faa2,a9f878af,e94a3de7,fb8d17e8,468e5ef4,8da60739,820515cd,c861378e,9b3bd158,fcc8a949,eb21ae89)
+,S(5710459a,ada916d0,9c1feb59,c494863,98e44513,226119ea,5ded7b1e,34e32773,89deedbd,d2d83a58,4e56b409,30a8355e,905bf12a,f33f49f0,7383eca4,e63871bc)
+,S(d56faed4,171806e1,5ac17f91,37101b27,59a3a8a9,90b85bc1,89b217a0,6fd48e64,fa871ec3,3408b2d6,b62f513f,5368f549,ebe43977,a48878c7,6d731447,34a6652c)
+,S(e7416eeb,da0b805b,68b47be8,eedf87dc,cb5cf012,804d03f7,604525db,aa599bcb,8610c716,f11c567e,313eb4c7,77e4314b,533d4f37,13b11185,bbcf5442,b9a56c19)
+,S(8ca59862,ebdd3541,91c60608,13ce32c6,a4fbfca4,6e60175f,2d5f1607,d5fa997d,aaf3480f,b132feac,6adfa195,2b14d0d,113dd6ee,faad71c6,980d5691,e37698f4)
+,S(6496dc45,1fd43b45,1915867a,846c5203,6eb8e4c5,28c2a181,72fba6f1,53243413,44fdc41,f85c99e,e00a281b,9292cf1b,153fe2bc,5c8b3e87,cb14d624,e44da1f2)
+,S(3a424463,aa82416a,a38bc248,dcaccd20,67d20721,d4e8f5d6,c9cb2fc1,91925a5d,71a56463,fd242591,434775cb,37c81bf0,d4857abf,aa527ca9,c3178464,8afa9fb2)
+,S(6a945b05,51d55194,adbf7985,aa85fe63,8811781e,6b787418,1574d109,d178c2e6,186d343a,1ca3a836,32421fc0,d267ca27,80df9af1,32625d31,924e99ff,9b57ac44)
+,S(13f1f692,682d04b7,b7e7381b,8c5c13b1,32baac0e,b7f8c8aa,c9ffd77d,3aadd47f,572a05e4,9622ff88,9eb36852,85d1400f,43372533,38c47ce2,282aa4ae,26e99f0e)
+,S(79fa13c1,4f0de8f1,ed98e7b3,3edb77f5,a2700707,e54ce522,a516634b,d2804330,a094bd88,e1969ee7,3f41e40e,60f7198,cf2484ab,5a2efaa0,96e891ee,d5987c65)
+,S(df1ff6db,d2c61bf7,c273f735,a6dab3d,fb08377d,bb3dd101,9dda03db,e533130a,2fdc7ad,68c58689,92e5c969,d8d14a94,cd0061b7,5ab0e824,fd19611d,923f886e)
+,S(a8223280,5f5939ad,180f8776,810cc7,2bff651b,df7972ec,51d86d2a,1acbdb34,9681590f,982e3632,b2aea9b4,40043751,e7f2ef2a,d4b125b5,2784ffb5,17c2dfba)
+,S(406b0cc0,49f3bf58,6990ada1,63c73932,b3780fad,ba3fd8c4,79e6a688,484c7c44,aab0e4ef,f2508e54,79074fe0,218aee7e,8b217932,859192d3,1bb20817,df6503dd)
+,S(4e7043fd,5783479c,3dcf103d,bc4d9bc8,523c81ea,dbac9460,4b73300c,f516bcc8,196287b7,3ed01bd1,e8033ead,66c92625,77c859b6,73a4c7fa,98f53d69,e82d1133)
+,S(a9a2a671,b945a5f5,90575c0e,ff24c070,a7d55b00,e9d2f44e,43cf400f,f3e9997,6cd45e20,cb972715,167f957c,af7f2f3f,9ae22ce4,3b46d4ca,5b2a58db,6e0c6285)
+,S(692a1394,75ffae88,fba47ae4,9315a6ef,12b2dec7,6807608b,22ba3ff2,883d3c01,74dd5b4a,3c14a54,c0a86732,1a77d160,c834773f,8063406,85a65c16,6ee46131)
+,S(36f915fd,156638bb,88928e75,d00fcd49,63b44ac,f5d016e7,7ddaa8c8,d62cfad8,3f11eb6,16edd183,5ee17d02,722cf6de,991dc8b0,e37fce3c,cf7f5db,e842e8b9)
+,S(3f0f6f5a,7e010c0b,5442fd6c,a3643144,a5202a7e,bb3ac8f,99aa38d6,4aa53b31,2574d7cf,5b33e29a,950099ac,db0ffb3f,ab1f9ed7,f13cdf9a,b869fd07,c35c649)
+,S(8c58faff,71f661d,b21d4258,a92aacf3,508a9dfa,bfc00cfd,26b95673,34b7b067,38d1e894,ea1d4ee2,843d08a8,80b11325,e9a8a171,59de273f,694a14d6,73944893)
+,S(d806731a,205c1a3c,64b91864,2d940b12,dbc6f580,866b7a9c,f287fb7,c5da78de,870a8430,2ff57abb,735da831,863525fb,70402006,d241eba8,d43c2ebe,cdd0e05e)
+,S(7dbda37e,195db041,a4dde151,5a7cdd97,416bde09,12b9a741,3354204e,2b848648,83c89c7a,649d0070,fde84ff1,32f60a9f,e1c0261a,87a8ccf3,885fb003,10715e71)
+,S(8afc23c0,c803b0e2,df78ee09,3b776cfb,410a1b52,7d4be45e,58d8cee8,3ec54a1,b041eece,4f4ae4a0,b3a52957,386394be,bf7b11a2,b97eb5b4,1bee89c,352ed76b)
+,S(4e4424c2,2c50fab0,4b803b4b,2562114b,1b2531cd,e5786112,36fb9021,3652207b,22bf6181,51187118,fb421e4,fb0cf243,889d5ca5,c14b6ab5,7e7b9d0d,d9796e6f)
+,S(60717788,5a230af8,a0816e39,6e39b34a,f394b1ee,c93ba382,8fd92941,e6e97453,a84df29f,2b9da41b,14f24762,df6db87,fc0a18fa,89e356f4,9f8f4017,dc4b26)
+,S(c9f73d20,384e56ec,37bbbf8d,facf70e4,a271f169,2dc22ac,6022ca24,8caf3213,7622e7f4,c77f9581,b73c9bfa,8bf5b578,89070e8b,97616cb0,69ea25f8,8dfb5437)
+,S(19ea5dfb,dab5a1d8,c3c2bfea,48d90f6d,a8b9959c,630bfc4a,81ea5eda,ee45282a,c21295d,14bd81,7c3a4d62,af307b1c,870a959d,7d6e4c65,3b8e1db8,fdf1d56c)
+,S(564bdb1e,30b2c292,cdf0e149,1bfaf852,4780669,717de5cb,290cbe6d,c1617b58,9a8da0e8,6fc0b95f,99e84198,877f5ddf,32508c1c,ebb9984,7004f74e,7e2b1c0d)
+,S(5bc93842,4f3ee6cc,926e2123,7bee0739,50b39d1d,e0dda3b5,4bf46953,7d0bf06b,d4e9c3a9,662778be,b7f4bd4,cd753a50,32bb003b,694b5e00,c119dea4,20fd5d16)
+,S(19432e94,829e8b57,3eef4fc3,181c7d7f,5b2a5f2d,a2e8c3a5,980db9bc,5cb7f99e,f75c999e,5c5b8567,bb69316e,36e01acf,2e860781,5c5703f7,a4be72bb,9abcbcf6)
+,S(d399281e,6196ce19,a2ec28bf,a0b1b559,8d0235d1,beef1672,ea230cda,20080b8d,1ca7e95,20ffce3a,33e94931,95eba433,d5483cf0,d5edbea9,6384d1a3,5168aa19)
+,S(6c84e35a,b220fa9f,e55f5556,302f6656,39372e97,74ae26ba,e21ca8ea,10e73c88,98a11b2a,bd442c0a,d49711e7,b0e8b234,1d15465,71efe9b8,9a7b4c02,1101b2b3)
+,S(7814cd8a,b1b045ed,a1797f14,c83bd807,ec4205b6,e9df4858,1180a80c,a0f8f64b,ef917e40,edc8b8ff,f53e8b70,4de63adf,6bf17730,41af2284,1b0e38d3,b515f33b)
+,S(7a01ee83,1c8e22a8,bfdaccfc,cd280532,444e710d,7138b993,fb6e06c7,996235f,fe512d09,19895c2a,b62f2e08,90dc3bc,dcb06198,18160b41,4527e7c,281a5519)
+,S(655ee6bc,df86c9ef,918b5660,5d4a5e79,512e856f,3f3e40ce,72e8217c,1f9bd908,cbeba5a6,91fcb085,f3996ea9,d081e69b,7dfdefba,123df5c3,cae94f63,12f87721)
+,S(ebd68009,fb0372e8,eb0be25f,e78117bc,3d4d4814,440f1d9e,1cf87ee1,de5219bb,8efb7e38,6f96df55,bf0aed2d,6bdb75f3,6da8cdb6,ff65868b,d8ce79b4,ba58814b)
+,S(87340818,9ac05bbb,4e95cf05,17d5abd6,8b7834cf,1168f914,9f1d63b6,19a3865b,9f1fbd27,72ce0f15,c91d4dee,dfae0a3e,7d24c0fa,de2bf30c,df63f93c,14480838)
+,S(61b6b213,b02a7bb6,4de62e92,515690cb,5dda3a4d,aa96f68b,a12f2c63,30513df3,cc71b8f2,4eff8194,36ad2962,8c003a1b,c42c6ce6,53997d56,e0162508,c2b6144e)
+,S(4ba7ee4d,77171ae2,e39c9e66,3849841a,ed5e02e2,182d872,98f0a064,3925fe37,5cdbd5b4,fe344f16,cb72158e,b80a726f,5a9da4f7,751bc4f1,f1fdc734,8e96dbd6)
+,S(d5827a7f,c4d5dcd4,32e5bd7a,46892e9a,6f9a3971,fe9e1de2,ee247e6f,208badb7,f790fadc,9d0e0c0f,61efb534,9b23c60c,2fb667a6,3b52cf18,ca0f0a1a,6098e1fa)
+,S(81ec5159,7f950cf7,c0d44d4a,89efe691,e9086dfd,ca25098d,411cb9b2,93237633,885b27dd,c9eff80c,94653f28,ef92fb60,741d3a2,aa828065,5fa60b73,eb9a1e7f)
+,S(28fc41f4,a0d4f680,76a3e06d,af0aff1e,6e723779,d8ac9e68,4cdba2fd,6ab6dec7,b1e4af1e,7affabc7,3eab9415,c15b235d,482c6a8d,b1085f54,d80ca2aa,49657225)
+,S(d5e753d6,c5bf75c7,cb0f5b85,77fa2f9f,6341a88c,cf59b5d1,328b18a8,f7ae4f47,d1aa54b9,8eb01a32,2518a10c,8ecd66ea,fc2f380d,d97953cf,faf0c540,c4a1bff9)
+,S(1682355d,89094297,e6008fac,44c1a5a9,257d413d,7589286d,8bad4873,1476e836,4f69c762,e29f90c9,e8459b11,d53ed84c,2ec9c2d9,ded4ea02,78d04546,eb09cf4a)
+,S(9ef7a85f,b64cae73,2eb511a7,8cc46e22,73425d1a,d02272e7,9030240b,23e781db,c720356f,6f6a5a47,3f35e2f2,f5e92e2,78a50c9f,3a77604b,3eb3987,d09ce73c)
+,S(4f6aebb3,6f429a52,4cb1be48,ace0eaaa,2174468,c13cf612,dd7ec70a,2e915ec,406ad94d,a8b6d790,2ad3609,252b6d7d,b28f96e,8780f6c6,39620b11,cf8e761f)
+,S(4cac3e0e,5ac02e66,66710dae,5c0d7e8b,7a3cc7f1,a42b1f8e,88561bb,223f8232,9396ec8e,aa96f3c8,4ffcb9c,d8c29d27,dca65556,c2fe5931,8ba05a08,cb263142)
+,S(86f3463,3aa2ac57,2c4a9dd1,64c7606,f61fbd78,60619937,38ea0a60,f79367b8,c802fd2b,556179db,5f776c9f,db4c38af,cfb2aa61,b5ae712a,3f23e58,25824f05)
+,S(5323f145,7685e123,e7a5ab4c,d1d39fa8,bcd6f23,ba3d74da,318dc7ff,347103a9,3092fb79,ecccb29e,12dec977,cbbf38fb,94cab4f1,fee1e8e3,46100378,88691cb1)
+,S(d3d70d46,402711c7,e680c45f,3a0e1c5f,f85cf106,983ff0e7,1a7f1178,33ea74fd,91982773,d9b90f31,16893b9e,eea7fb9,e4f722f3,e1577c90,fdf6f625,a8d07bad)
+,S(df63b937,28a87613,2db5d71,43654f1d,f8cb89fa,1ab1efdd,6fd864bb,db6d4359,7c3b79ca,191a3ecb,6c793034,832fa5b2,a2c7bed4,84b792a7,91bacb7b,62ce5510)
+,S(f1fe9222,8cc334d9,5f303169,a4e2262b,28a99494,c7decec3,9746be85,71b70c74,5588f3b8,4e65fa72,a2b35f60,f99af1e3,b67a2435,8c28eb64,69de5136,e751a10e)
+,S(9030e75d,918ca330,edfec14c,b7cb28d0,fb0adbb5,fa29fc7d,cb3c9085,ba74fd95,7df20128,61698984,c0928821,c38aded7,5a452dc1,3bbdc4cd,71ad99da,38b427f7)
+,S(1cd3c139,35bedb87,134f628c,576411eb,dfa0b586,2c3cc7d5,ddd7cf5c,77ad641a,2154edf2,5488bb08,be93a25e,c847b26,88264cf1,30fabcf,5924bde1,4b9a324d)
+,S(e56e0737,a19fec7c,78b9f462,1ec0d5bb,bd6e91ff,ac995f42,202f127d,2446ad96,8830d827,368c760e,40a8d9bb,b693e975,1e69b42f,4b2ed776,98f889aa,3ead70d7)
+,S(1b0a6ac4,58abe5e3,63e6dfeb,24ad8a65,56fd0886,78086657,587e63f1,5fb6b101,d2df6fda,e64263a2,b133e5aa,bdddee5e,9a35e86b,2e1f5926,5212cc49,335178dc)
+,S(10a14146,8fd4618e,4ed390a6,246d62a2,50bb1676,45cfc679,d80cc081,23ea22b2,3383b868,dd7fdd1a,ecd13dba,f4ebb151,f9a09b25,bc30d562,b033800,fd40185f)
+,S(9dc4ab51,5378a351,6db8837e,568afa72,e357f7d7,95d546ac,8a73e419,a43f5e35,8ddaa2d,9bcecfbf,e2a422be,1ea591ee,bfe05ce1,90439a06,cc68d66a,6305903f)
+,S(aa93175d,e7a4e1fb,c538eb19,e89b20ae,13539e99,362035de,1aaac76e,3ced7196,edcedb04,c1344568,9f3e133a,d8b48004,c18d146b,ece3da05,effb864a,c2afb9ad)
+,S(8171f3e4,da02d9a0,8bb6fcbc,6d06cc6a,94f3cefa,35d4ce27,536ef6fb,222edf7b,e91be5fc,aae62aba,1c02b55f,73c1a64f,c32038b7,a658f189,7499ca59,e9e6dd6b)
+,S(51f6c983,c89128e6,635888c9,3c79cf79,893fe627,437464b1,11b08058,1aa19ab6,5d2ef149,4bb164f5,20c1dbf4,1a8dc650,b8cee400,d5e37252,a3d0f059,3881a067)
+,S(c0a1f184,766b30dc,6a5016b1,9db0dda7,ec34dfac,74dae580,9500ab8f,6fd7d38a,bdcad3e2,c7b6daf1,29d41051,624d26a9,b27f361e,c695d490,52893597,eac6f01e)
+,S(b1bb1ecc,95435169,4ab6fe0,7341efba,fde9279b,1eb78a22,2bd39472,33a0eb02,df523f5b,525342e2,c0cdbf0a,671e0c95,4b149084,de4c61d5,5a7bfab4,c81689a8)
+,S(b5cc30dc,86d04ed5,88539ea7,e437391e,3b0891e7,6818c470,1803de7d,640b5dce,f1cc0d9e,45c7312d,fb1acc8,62e03f28,9f55561d,fffe4b65,ca41e62f,42d4ec14)
+,S(de2b49e7,5f0ff53,28155b3e,a7d5941c,8cacee23,51fe16b0,da8e940f,9263ccb6,34d7a42b,b12dbf67,b0d7c680,178154ae,4690d5b5,703572ab,74b4d93f,6d8de99f)
+,S(8b18f4e7,c129e117,e898404,65870cfc,ea5c0db0,ef2ef11a,d515f3ce,57cc8f51,6b1e1086,c8674a59,3c5e9d6c,dc8edcb3,72281c27,e6b2caff,8842e008,99111f37)
+,S(727162c0,27cec888,918e46f1,762a830d,822ce424,b6a5f442,f9e582a9,17c86889,de348296,1452a369,e6fde5af,693e5247,24865623,cc516e7e,8416f38a,2f223cca)
+,S(4ae4fc1f,4dd17483,f18eb9b8,1c2494be,946a75fc,a3f61605,6d0856b7,3505058c,d87e7812,e901fc17,da034a05,bd878470,59999b36,e2c617a3,9ae46921,f2563e7)
+,S(e90bc9ac,e9e873fe,91826f01,66affd02,72007bba,4ef690bf,58b15206,5ff43cd1,4bc820e8,9acdfd68,51c9b0c0,65b9bfd,47f0762c,d2e56d58,905e6360,4564fa87)
+,S(ba0ae6a1,db432fb6,f7a1af7d,be9ef746,8340ba5,7f051020,9af4076d,f51450ba,7d3839b7,4099420,1729894c,51a2c30b,51019a18,c32ea908,c58876af,912be720)
+,S(70661b81,f77c6531,1d98b403,ed7b97d7,4f9682bf,2981fa5d,ef882022,d3accfeb,9022b973,18959f4d,9ae4bd7c,fb06fe66,7b4eeb92,5f46677e,4e5bc4e4,a6d06387)
+,S(fe1b7b47,28153a07,11f81b81,7d9efa38,29451c15,8d1f11d8,e5e0922,fc471a47,95a075cc,68cfb7c6,fb115dc0,5e4c31aa,85725bdf,2344dfae,19c8a034,d2b0f847)
+,S(8acf3bd2,bbaea907,28013d04,f27e3a5c,4325bc37,ec5c5e86,7ab70f7e,9acc3fc0,f679e3fb,36da27d4,f29c06a2,5951f80d,b3e2e0ef,dbe2c785,ee148657,3e16174e)
+,S(1d855d37,25fc7d5a,b87fc6a4,7f62ba7c,d2db01d1,ca0f14f,1d6ea8d8,4af395e3,ceb263ac,2d41654e,d4655183,f6268c5d,9b0a9ad0,da8912a5,815dc8d3,20b1b90)
+,S(1abb4566,30c24ce3,c84ec6f6,d70d19b7,9934498,451f02e,3926d70,592a8cba,4627706f,6be87fd7,2ad886ef,73245452,1778d293,41229863,f4b19548,74525885)
+,S(1b4790fa,672c12ff,965d07e2,44a3f30b,620e5c66,4b098a5f,b86f2bea,93eac036,eed050fc,a758e2d1,f2a2a9a0,6b8391fd,7c19fd70,9c9e1283,1b018d24,e7edd60e)
+,S(61878b2c,fc9cc88e,30ddcfc1,2561367b,44c106a0,21e3dc98,a433732a,68de3dd3,fa2454a0,37c279d,1b54cb77,498a9efb,afc6f50b,6b13e29d,436000df,1eaed78e)
+,S(84048df0,2767feb1,7bcc21ec,f4502238,abc7271a,931730b5,3354010a,8544308a,d4712e4a,39d608e5,d47f9814,f7763c6e,605accaa,438ccb7c,838c88ec,e993c32f)
+,S(eb7ac4e5,6c96175e,c3f1e1e0,37e89f95,8ba37d0c,a88055cf,889bac33,ca683a94,4941e267,2ccc274b,6d8bfe07,513dfc6f,cc07de33,2f517011,2bc3814f,5e85da8a)
+,S(48a36ac9,877d4bda,b62b452b,a0288dc1,4cbce455,3809feaf,1a4195af,22142e91,e24d6d8a,1256288,6c6d8848,4e950d8,27eec39c,21ff6e25,30b50eba,ab69659c)
+,S(9c3125d0,5a62a25d,7869af3b,1b23a00e,e817b664,c82d2a91,2522ce16,bccca1b5,c6ecda10,f6707168,18417277,4e18f5f5,38566361,5506b450,a189b6bd,39e5afe3)
+,S(33e81e21,dcc7670d,c7f3843e,4dc8be3,10160bed,49af116b,c2ca91e6,90f80d68,e694c1d3,a0a386d2,e6df1167,8efe38ae,9ce417e8,9ec05bb8,fa592906,55757b6f)
+,S(9543769e,6899e0fc,bfeb1071,50959827,5c1d0d4b,8a68f056,d8e1c033,1b6a1ad2,700cffd,afc58410,7635f148,72ed1ceb,1c4be86,7f668b16,3f579534,ec9b0d7e)
+,S(4f41ccd1,73e62c39,7d481e6e,5b50807e,6ca9b163,e21dc203,a0d50826,7439efdd,fbf98ed6,aa8c1972,d88b309b,ab74b254,8fea56bf,e158d1ee,d95ce77d,c69f79d)
+,S(4cfb6a45,584b00df,be3fd9c3,38eebc28,a667fe6a,4651bbd9,64ecf20,645f12e5,2ddfd6da,fe080e87,470fac21,d1255900,219638a2,5e72b12f,5501921a,f614652b)
+,S(9efb8bec,d9bba33c,a5e217fd,8fae533b,8e536bc9,1817f982,1f217757,75eca626,661300ed,529c15e,918bcf9c,1a7dc3e1,8e3573b8,875e2f8e,9440f8ca,b0658fb4)
+,S(c2a80952,5be7e4c0,b85ab953,ebe6dc5c,f5d3c0f9,e850e470,da9e61da,e430e441,1d2ded36,bf72697c,7da6fa22,1c09fbc3,6be06363,d50d277b,4839c4ef,809d9d2d)
+,S(42b7ff6b,49ae822b,f5a16276,4c620b13,2501a1b4,1bf830c,a242e02,3bbaa707,e41fe058,83f0e400,712de994,dcbb5a38,fb2c7595,c5ea8b0,eb90a236,82b71d6d)
+,S(ee0bb129,d420b641,2afe1518,55f78f39,e00cc3b4,7ee3b86d,f781f0e2,abb0c28c,f71d0e7a,5a4fa247,67c6204b,60edbadd,54b17455,54ae9099,258343eb,5c0aec61)
+,S(1f1d8a07,9cdb3bf5,2671a716,26c503c,77546ce4,2a252e78,9ca487c0,78ef5b9a,c611130d,ae55512d,ea8e8e6f,9fbc3064,180ee4aa,63d1dcfc,5c39e98d,97571c20)
+,S(5bda9c06,ecdc9fb1,5926ebe5,5418f016,7cf3136e,5f9317b8,b2912fec,d2a31310,358ffb70,dce1260c,80fe59d5,b72eadb3,89076168,a17b63fe,b728dc28,45ecad7)
+,S(c32f6503,fa50c727,66652dec,8e0efd71,edc78973,48061be9,1f847544,df866ea6,67234a26,7a13ecc4,7b09443,cb13f0b0,6a34af2a,20b80856,6deb9c71,1fca304)
+,S(5483d511,b71feb06,70e6c83f,29612640,849bb673,896bb069,941cdea8,9489caed,a09a6a62,d3233437,40adf0f3,8d8e4ddf,494d5350,7944becf,bfed3927,d88c1148)
+,S(3d2d8f5f,f0b86ab9,1ecb9342,5a6cc246,d5e3c6fd,9c43d047,2d518958,ea322ef,4188348b,4c23ce05,1879cf4a,b71d7608,fb45d7ec,a184c509,c739f364,d955b830)
+,S(3a5c3939,29ed6780,5fdffa9d,f936bc10,735ddf03,aab89e9e,40b47574,21af1dc0,760b1919,76752916,2ac2a7de,22975c83,44dcd52b,a945c81e,dd8224e,90a7011d)
+,S(a3d522ac,7c1cc06e,3ef9272e,fe24a0c4,64886948,3373df90,e5dd484,d4590a83,6f53ba2c,b739dd61,219684a9,50001697,28c377c6,93054795,5661f2c4,ee1b6be2)
+,S(ef0b0931,13992018,44078583,62e02aa2,c1437d87,ddb95d42,36751445,d8e8180f,73bf4407,8d184772,7d0408cd,f92f8c74,2173520a,41971980,1b9c842b,9486c634)
+,S(8140effd,1498ceb9,c2211899,161185a6,a770c15c,d1ca3e07,f26f40c,6d15da20,4c74f3df,6d2db7f1,be68b7eb,2162f03b,51c1102,a02dc3e,45fc49fd,22a474)
+,S(3445d720,8e089f1f,93d32f4d,3fd6fd65,7603c7f0,378b74,215a59bc,ebe122f0,6d41035d,fdb54ef3,3a3c8626,f036e1a2,38da0637,e82953d4,b63e23a4,890b6d5b)
+,S(e14b2a5a,6235369a,1d1933f9,7124cde1,789a366d,5fe6ab9c,72c23d43,f7a58cd7,216f06c5,2f63c102,6cafe6ce,58a9e589,d67a9f19,625513be,44744d0b,f9fc8f8f)
+,S(6d9640bc,8389bc44,fcd0b2b3,3c088170,eec93106,67348dea,f8f3e92e,2d891e0b,4b4c1485,6e42db64,9fe04759,a42887fc,68b5d4b0,8161b31a,1852bc41,7d04227d)
+,S(272f1404,5c461f21,3f67cc60,d7c03b1a,fd028a05,b9e06324,62a0afce,fd9b2916,98635ec0,c0b23538,a63f78d,800eb0df,fd6b7583,31544b1e,825cd433,ab348416)
+,S(a8c99928,eaae745a,631250be,cde1ce3a,4152334e,de916257,681329ee,1f3a07e3,4ccc2686,abdf3f7e,8e1149aa,5162fed1,24ae51b7,e61e4620,9f5cd611,e7351621)
+,S(fb024b33,7f93d565,899be686,9b1e4c81,1c660d50,fd31cef,fac38600,d8975409,339686b7,8bff3c95,7e8730c3,9457966f,ee562ca2,89d95e12,7b072f47,c4c7fdb0)
+,S(e0e48547,aa613549,773ecfe3,691b84d8,a6cb14f9,ce4494f2,35187057,28562f9c,60b6dd8b,56407580,52748838,9396004b,778609f8,69f47676,a6d76eef,dca7b307)
+,S(bd6c402d,378b8b53,9f74d29,605e1b0b,ed9e383d,dfec2169,8076ef59,125d16e4,cc3aac9c,bb761c7b,3776a8f8,c8c6d2c2,a276924b,79510f10,75521b22,9def2c24)
+,S(e6919231,eefa4f44,144e2c55,4f695235,d5886cbd,e150aef5,52c217ac,5e451c0,e74ee1d4,d34d2612,b4d56133,c2a11cfd,73a888fc,6927f46b,c2aba9ac,63b1cfa7)
+,S(1a9acc6a,2a487874,4d92ac5a,328bdb3a,37c481e,8c145463,f9cba4a1,a03d03a9,ba6069a,960e3628,fae22422,47fe1f5e,df71fc81,b49b5ca1,26a7c588,fdf0fb10)
+,S(5b52bba9,2e5fe301,f2c4e939,52db99b8,abfde642,3d6da8d5,36ccef4c,f6070910,108ddbdd,901e227d,118c68f0,a71aed0a,cc1ab1b0,2fe74341,f546ede5,b747ae29)
+,S(92c13760,1ebe82a9,b11a096a,73be2828,652b0a4,d7f9a286,f1338a6,b1e05242,2e3e93fc,2dc6d0fa,5d43dd57,85f6c79a,51a588bd,d14e0275,59fac06c,a449d7c)
+,S(3cb6f8da,79964c17,73a1c749,e89542bd,94b4f279,f6061d69,a12ffe5f,1d4318b8,42e4c1a8,b4f45ad8,dc23bd02,faee2956,72a77771,6e6b1d54,d05ba413,6bb11956)
+,S(5fed6351,d34518dd,111a5110,50de0e5,3c60a14d,9a80183f,66415145,bdbf5db,6b79a590,de07a4d0,b74140b6,49bd8375,da77e01e,295e76cd,56a6588,7746c3f6)
+,S(2b88f0a7,81c384f2,b7c245d3,7c061128,a14132b1,fd0fb56e,7d3193e3,d95d3840,f787e7a2,11446e57,655b6453,c2244974,c1632bb9,4838a981,bd4873f8,89a0e10e)
+,S(c7b247b1,5a3f55fb,35b0ac3e,1da36719,18507f94,e988efd2,47bb02d,83293443,4ab40437,34c65f11,236b6ac8,bc27c548,c3c8e5f6,64f3cb67,99e7b8d0,6db85f4f)
+,S(ddfda933,8dcb9481,5c08a20,12c137e0,45df69d2,121d4534,4c6aa375,e03647dd,e95f79fd,2a116bd,5972e93a,c58712d0,95f91255,a46fa091,bbcbfe5b,57795c1b)
+,S(dc8da645,5084b105,6c7e3233,b247e87e,9d15a6b6,677f8c29,da04fefa,371da7db,c2a345a3,fde3ec03,f6a07fea,8bd7685,8fc66d28,6637cc80,93132048,441449c3)
+,S(f53f3b26,c5fcbfa8,f1263bc7,a6439056,a31547cd,3a8c795b,8e355482,d1ff5333,113ed45,e664b9ca,98d88f1d,a17c4fb3,5249e8ec,7998b1d1,bb68be3a,e6716ac1)
+,S(648d23fd,c6d4b5e,4ee1d647,7d969df6,7d754686,9313ba39,1d89dc90,b646cae9,d035e045,239375d3,4e6ffbd4,bae0697c,9b336454,3261206,15edbe28,3e18962)
+,S(92e6dd0e,5dbe580f,82473f3e,dd70b343,bd51bde2,b1ca91cb,1c483fe1,3c2839b1,cd90dffe,a5447bd2,592d1a46,5a09b391,a61ab01e,a10c9201,5ddf4614,b39577a5)
+,S(1315e58a,7616ef8c,fa223ec5,49415a54,eaec0583,6be6fb78,2ef4ee60,f49f687b,729e0100,802d60cb,c54e1fa4,5dac72aa,2fe189a1,737da80f,1ac58426,d7e1431c)
+,S(3c8a9799,9857fd85,e26b284,a3554e51,86b001d5,e6d075e6,c9402148,ab3e2a3b,464f0492,acc720a5,59487b3d,60502067,a722e915,a10412f6,d6c69dbd,28b25977)
+,S(ea417230,cc94c5f4,436b37ca,e6f9ace1,bf3c7f8,ff03c879,f862ea76,127591c8,961238cb,8d95d50b,baccff1e,b9cd4040,6f4ec475,7026b3ac,e916067d,85a4faa6)
+,S(8eccf9c2,f271079e,329a8c81,62c98af7,48496ca0,b0c5840b,ceb19a15,361a6ceb,3e259a19,165bf1aa,630c6a7c,52f37b29,c8ac5239,a132fa5b,b53d687,b17e56af)
+,S(32f0fc83,b3503a59,6873c34a,b54eb6aa,7bf3d913,842cd556,77f398b5,4f0f296d,d4736d6d,906f78b7,62eda345,9cb5f7b0,311e50ad,cc9a1e26,655d8ca2,fb81a811)
+,S(b7d63110,77c83a8f,a43c171d,a5ff7cbf,e4fa4cc0,b2614a9f,63831836,e0d7accb,6095f640,56441552,a8ac27ef,9c1eba64,8b84a5b4,c19237e3,5e285ebd,796be9de)
+,S(ef6c904a,22df4fb0,a54cd74e,6563e56d,588b4f8,d6926cf0,6c32694b,be536954,308910b1,44cd37a4,e5bc3d3c,43715e22,aa7a0492,e0e9cc9f,b1095a22,65dbaa4)
+,S(19e13bd1,e62825bc,acceebf0,b48e17fa,b375241e,6eaaae27,672d7ab,22941a6a,6f22c329,7005bc1,155308bb,dbf8ccc2,855ea666,e4af3bba,d3e3c90c,28b613f7)
+,S(57d9bcdf,10f2f790,79349ae4,5f2980b0,9a98a7ab,d792a5df,967b7b11,1c8e9420,bf665de1,d9b7854d,e34f8fcb,1cc027b1,42ebfdf5,bfe4e65e,b5068a72,9a65db68)
+,S(37bc6685,7c3d5e8b,878874e,3d1ed324,bb530a21,f13d057e,4e3f87ae,3df06b2,15419bdc,764db12e,f12abbea,c1ca7bbf,77764abd,72f5eec8,3a81c452,4c998539)
+,S(1b30c5d9,9ca59151,33c012a5,96512c2c,b572e11c,a7412138,7f3658a9,f9c2cec2,dc42320b,2a0dcd0c,5404d842,17af8c9c,2344f751,16a5d691,1db0590,5ef39697)
+,S(96831db3,50c55ac,dd329f4f,85ad4a5d,e6e89f21,85b93e65,b8db4e1f,c1efd0bf,86f43820,fd03739a,d0e75ef6,17072f2c,82bd8bd5,a1f8cef4,55e49ed9,cfd47837)
+,S(cd2f500f,aa1f04a5,58309f28,f7acd542,bce7999e,a17cb792,66b93cd5,44e3d8ad,1f977080,ddfceaee,97c743c2,4815f795,27dd1b05,63ef009e,92994046,c8dd8c29)
+,S(60392a7d,237c9e27,a3318ff9,d3552928,802f519e,60a783e8,ff32be17,4ad01c08,eb7f3147,df91d1f8,d8994afb,df297c44,88ae9e1c,539fe065,663d856f,22893fdc)
+,S(f6cf77ad,df6ab73,20d68fb,9f3c1d7f,d8abb679,179b3c90,d22574f9,fa37ee9a,8ffa29c3,3587f716,6b5d513b,7df76311,77e81eba,1cf9b523,280c778e,2442ebd1)
+,S(57c8015a,f542c514,595b6f4f,f11be2fc,944a0ea2,d26a4abd,1807142,da7cdf7a,b67c779e,80153cc6,7b6b32d3,3a3754dc,ffb692bf,d16e3e3d,2c9c673e,a8b05da9)
+,S(7fe08558,ac184922,ffbd5c51,cae99931,2f58a17f,bb643b4b,fa1e419e,6b4fe462,7600477d,8bbf58b5,36e7e9e4,cd595858,7268cb5d,1599079e,5a88fbe7,79ec7a11)
+,S(2e16f56e,73b39bef,d729b87a,d8e7c4e,3d81095f,58be177d,87bd9f3e,dd517b75,4ce271ef,57323a0d,baac950e,668f0981,77aa59f0,7a0211aa,69b4e417,375fcb7a)
+,S(a4d4700d,456d7802,be781f66,6ca24a68,49200de6,d2dd97ad,9c2eba62,18ffdedb,c099f86d,e7ba0f0,e8f0e762,8864a4d8,9124aae5,af12f6d5,efed434f,c66e4532)
+,S(b4764d50,50119e3e,a316c921,91e57ae5,a2327e74,187f145d,c048c199,db3fc059,e39be8fa,cc272129,3ec831ea,9016a188,4f127070,4fa4f092,c2f3d56a,4798653c)
+,S(3e686ba7,d291abf0,ced5b352,e84fc696,c29fe123,aeb82235,5031931b,e7e2d0e,7b35c0ab,7cc3c81,f84caf9a,9321b9b8,5a889b07,98c9eed8,8c7dc4c1,a985d266)
+,S(d7886f2d,1d4c70ef,c5961e56,33122317,58400105,288d3346,db49407c,d24a46c5,da645ee6,17c46024,b2e25903,d4d7dbab,c5ef503f,814f23e8,68d94040,54b9efc8)
+,S(7cbd23cc,14654d40,5aa57ba7,1e375466,cea867f2,325db475,d3a7990f,ba17a40,eddce5af,96e66db4,b985541e,e638ecea,88d327f,edd37039,54ce5a1d,d2dcbc51)
+,S(54626185,c279e1da,eecea0a9,233c2190,18f877bb,58614a5c,5d2b9894,17eb9795,6507ed85,dc8f8454,bf96730,5cfc7919,8cfb07f0,dc64b09d,928d0b86,e0e9b6f8)
+,S(edcef155,1cbec2ce,2bedb20a,addabefa,59e68cf9,e2200681,89285c08,563c32e,ade67143,75592853,c296ab45,bcba4db4,bed59efd,9df68b33,b03d7a3d,be753179)
+,S(e027a953,ff6ef9d3,f27db47f,bc91db7f,6a30bc5c,c834add9,9cf8d086,23380cd,1e6b244d,e18ad020,8e52d174,ac452a81,62eafc80,975872e4,c7e362da,cba2bbf5)
+,S(a5006d68,db980242,54ea251f,3787d527,66dbf92c,aaa20960,e17ac6f6,72e2b2d6,a1938d7e,e854dd5b,94d98766,c0f74723,72d1e6df,5cd6dbab,fa63faa5,6a0b2b9c)
+,S(327075f2,1a1fd9e,da69adf7,32995919,dbb02025,ee504e0,3d5e5066,8427be11,41a57eb1,c32e94be,948ee335,6d855fa2,611a4ec2,4519adf3,2deab381,6bc4debb)
+,S(97e1a5c6,66694bca,6b10cdcd,7e95f74b,9c87ac04,c623799a,c1c7959f,1a3363bd,3cc9a48d,1ec7561f,7b72bb6c,4d671c25,56689498,42546a9,48c9b927,c8ab5e88)
+,S(450fa640,a7374dcf,d11bce28,f4eeb4ab,d0a2d868,9f6fda04,7f790ed3,b0c07a21,eae88298,dc17cfa1,d482a1f1,70d1dd36,aa35a56c,7eba231f,c4c3ca16,efa77f4c)
+,S(f5aa7340,fc0a66a1,2da09ce1,f4094240,d81fad91,87e944a8,a7a1ef4b,9e0a6559,1255b3da,9ef992f1,c62e7738,f84dba74,899d9810,9db522e3,49ad9fc7,2aeb5017)
+,S(6900965,55197836,a7b23841,97fbd75a,8857ac8a,8b14ec8c,90cc94a7,8a42f1b4,1dc181d2,38c976d,b4627107,2be05f32,952b5bb4,e9ef4710,f1bad8c,171b027b)
+,S(2b1aa05a,8ed84136,7e99f377,bc3760c3,bc3bc0f9,33555e87,8ff2d212,c3f290aa,47b25af4,1eb8bc31,915f5896,57f368bc,35e9000a,cbdd0a41,7b267e58,cc13e280)
+,S(a4e6b69c,a18caff0,d993540d,3005e5db,454b1e39,d4c81a7a,b5315d25,d052d81d,7cff2103,9c587904,a42d78ed,c2e7a6ec,df4fcb21,17c89822,36fadc01,a15d70c5)
+,S(ab44bb96,c74fca4b,3e39cb0f,d9dd7795,f728e1b2,80a7cfa1,7a36916f,b39d2582,59d91ba4,519fd8cc,9e773feb,b1915967,7edc0dd8,1e794ab7,cb76a2c9,9026f5c1)
+,S(83b0c85b,3fb9c3e4,8c96a31a,e5442288,93472975,5d42fcc7,715dbc23,9de332a2,e99f5640,fb620582,fd833b34,2f086800,9652d739,2d6494b1,e36d301f,35a6da6e)
+,S(ea45313e,624ecf81,676911ee,500bc0f,e5bd10f4,40e04788,41eb215a,ef954537,4ab8b00c,e2359cce,203bde53,b9e8a454,d5afb101,4d0b644e,81ad1313,6c0c7445)
+,S(936c10e4,af823d96,9f7f7a26,98c927cb,ae6d609e,37cf7412,ac4cea1f,51a3cd4e,46f72bbb,10dd850b,8e3e5bdc,f0359f6c,bdb9067b,13d2b60,bf68e8df,b17b7213)
+,S(436a5d5b,61aac3db,392cf8e1,36a89b31,847bb116,5d1e296b,36c90d60,f2e9bfd6,f81e688d,ae67cacc,1978559c,84a90f9e,5e342bda,e73647e,33655686,2f36d68d)
+,S(9eb95427,3fe789a1,3a24b929,e54f6262,d931a442,2e61867a,abd84d80,4b315d7,38bfc192,7dc0e640,820fba,8effa82a,d29f204a,fec11c60,768f95a3,4d2ef59c)
+,S(3826b6f5,87ecbc0a,cb6b4328,a00f63e6,ecb77a0d,bda277a,e6e4ba5,fa280d8a,d9435fe,dcefe69b,213e6eb9,eda63f89,db35e293,8ba3d6e6,57232f04,3a4ef271)
+,S(a348cd11,ae0ea1be,3f993bcf,84364b9f,4dbdceb8,db3cca21,cd0f8ca2,4a1dde2,1fc851d3,db7cfaf2,6a1c202f,212b68a0,7078ebd,6d6441e9,1d1d4884,1c83ac75)
+,S(bfe15639,237fdf3c,4e67646d,724264e,5d70d1e7,3cb70205,3c4e9a06,2bdf7329,902b37e6,1ec5e59d,9c3c09d1,d7767483,345488dc,e492e3ad,f12d04f9,2b5f88e4)
+,S(e2fdb14d,81a1b6f4,d40dc346,c8205821,2642ae10,2707e944,14413cc9,c03dfa5e,3011b4ed,846e8551,6c66925a,e7676062,131e37b2,9b00c408,6c60a3e2,3488fceb)
+,S(bbc659c6,8f476748,17663659,db4ac222,cf1119ea,ac27c38a,535ddec6,913c7416,1f8b6ee1,9fdb512a,fadd13a4,d3fe13b,48250120,975b8c7a,47798267,7954b954)
+,S(65bd2a02,9866789b,dbd6f743,af85a789,ce9141b6,fd9ee056,cef4de8d,a2505521,32dbe030,1cedb7bc,5d5644a4,6c3e6c56,990b184d,710a770c,6b65f39d,3378f5a5)
+,S(1ec0e6eb,8382cf7c,24d75a49,fc0f3724,e9318d90,9e05d406,a3a5916b,2278e981,e50e129c,f486bcaf,eac8ade3,c697debe,fa56ac06,337cd9fc,240cfc2b,3415715a)
+,S(7390af1c,203da259,9e1aceb1,ea101628,c0399c92,33658d9e,10dcb10f,63a9eb8c,7d215496,60647b09,d7bcad45,1debe7d8,2c3adaa3,39bce418,320e0df0,977c3126)
+,S(99a51469,7b913764,783ff7f3,7099cc45,127baf1e,d8931eb2,b4b71e81,6a1a533b,49c0d00f,7503770b,fcbd57d,bae748fc,809d21f0,8ea38d4c,8a288063,a7e2e8e4)
+,S(e4d6e0b1,3b4804cc,cfb7dbf,ef1b7026,320ba2e0,c4fc98cb,f12fad65,8a0394d9,aeb0eaac,73a006fe,6a75ad20,3e0ce2fb,af5fc3dd,81865b6c,75075d36,3b761a41)
+,S(488a4141,507ce5ea,cb3e1c46,ad23fb3,1a9aa058,2b553459,d885116e,19fe1a04,6bd6a066,43ef8c7,4cdeaf25,ead63b04,e82f8073,a5fd904f,d7235f4,cf12bd12)
+,S(c0ffe24d,ed0ca54d,1ad1c2ff,d2dfbac3,2cb65b47,ca42e8c5,5d2c15d9,67babaa1,d15cc63e,29c54df2,19dbbba8,8df7011f,a0a330e1,6756567d,bbd7c6bd,7e7e9289)
+,S(336d9b02,6c74e25,9dedd36d,d8fc5ef1,31b05d0f,f20bffb2,8305b923,767780b1,4aedacfc,9886a707,aebe6510,e1bdb89f,2b1b6461,1471fd1,b055e7f5,414e647b)
+,S(98353eb9,8973a7be,3bbd3711,dc7b86e5,9a2a175a,ce8464a7,6aece2d,2dcf04f,a877fac2,27894a43,8f610887,305e1c12,8e45b4a4,3d6c596d,9807461f,aaee767e)
+,S(cdc35e1c,17fff9df,63639cec,b54fcb0a,71c9fb77,c38eb905,3f37c361,36da1e61,a8ccb6ba,fe917260,df64f0cc,dc14a31c,87ae559d,7d629778,2bb9b668,9494eace)
+,S(912cb1c1,5e62a0b2,71458409,39c06f15,5d7407ec,526ccb5b,5159a934,80111941,584c14d5,1723c447,cd0cecc8,6c70dda6,6fa710b9,8348f5ad,bf4bd587,37049bf6)
+,S(2145e17c,7c1e8acd,99eec6e2,cff40341,ffd19568,9800d02b,5ddce693,c3bff3bc,3b8a71a2,40c0b373,95b0e9b8,99da7bac,a5c43088,afafeb68,957bff4f,7636356f)
+,S(e4a09336,7e877272,2224f7e1,d03cdc85,43e0910a,20bfc4ab,3aa2ea94,8d0b1692,24b1ec31,33146f03,8eeb8315,afa6e34e,898f48dc,af7d0f80,328155f7,c2cf846e)
+,S(fdf526dd,464d459b,b7f387ed,46402875,2b1390d8,4006ebb0,f579b36c,d328db40,4396e6c5,679216d1,dd2cf776,61264ec5,9373269a,a745c963,14147c0d,e53a3987)
+,S(6c85c16,b3e37273,509933eb,caddf3f6,52ca4c49,4e751da4,fab5bfb4,ec729f86,9b530fc8,520b807e,5e649040,c5de9929,e592ce99,1b9f9cf1,21766f16,eb648d6f)
+,S(4fbfae3c,596ee2c0,10c98ce4,bde00cfb,4e7da2,25583203,feb0c791,2ce28e58,fecf0504,ed0e364b,95edcfdc,ff50fd62,396b8a65,83bc1799,3e73557e,da6ff099)
+,S(9bcc3b7b,80171179,3b683c2b,90e9c811,97c1d7bb,d3c281fa,1503513e,778bab8,da2eac92,878289d1,a77825ab,9859baa3,a887f009,d7d8be9f,3b70b917,41bc0b43)
+,S(4415a040,e70a3b3,f5a95695,672d1314,855b0a26,3b5e3c8a,24e02f9,6b635150,d8a53b8f,cf55a9f8,81e92160,39afd5c5,6843ac56,39f3223e,c58a5869,da3986be)
+,S(55e759c9,cdafbcf6,a38988fc,be203839,b617b536,2d537092,4d2084b7,45b2341,4a6933ea,ca8a3405,89952483,4a231585,3c1191b7,42eb95d6,cf7f82af,f931bb95)
+,S(21021f25,bee23c2f,a57e072,bdc83e09,8d115358,adbde4b9,5ed63488,5540e9c8,9aef5691,a7700eff,7c42c98f,8dc822a3,4ed8dc1c,7f8648d4,ba5bfe3c,f9a8c9f0)
+,S(2b4e311d,dded1aff,edff3c64,10d40b8a,c70771ef,6904e4a7,a28c7982,cdb376d1,145c30f5,6b255b07,fe43d02,b57f5b96,48b25dd3,6c792575,d20ac730,d709b05c)
+,S(5190b21c,7e166100,c90dbf5b,e05d25b6,5ed91caf,904b091e,8b98b5f4,5d5378b3,b83cce47,1fbdc5f8,b50e3f26,8be0d540,1826d26c,216c1166,4040b4a,66650073)
+,S(2b211ee4,54c65c0b,3647c7b2,87608189,88b1b009,77d016ae,1f2f4030,545b56f7,75743959,17d8fc1d,571a2563,47a61288,fff74669,b863f506,f9b70ddd,76854f5c)
+,S(cb30b792,b41e0aee,3478ec37,ff6ba66f,a3caad4f,9418e1b6,d4af94ae,e64134d4,45571ade,cb3a9f4b,922b8b4e,c0d1c728,9142300d,daeb08e7,71b1aab6,228358c5)
+,S(f4e437a8,d2fcaa16,e9749d07,89be67b,e4687952,7eea12e0,65c3cd32,4e4bc6c,fb52d28b,7e81ae8a,30de51f8,bdd0ee28,8e7647fc,392249c4,3449e62a,77ba97c4)
+,S(a0a676a7,6a2a19b3,bc6a726c,193d9df8,ce85a94b,cb678080,545c53cd,df50d518,647fe8c6,b1b7bd21,b9816e5,aae40700,41198d68,a3c9bfe8,e437fc88,8f190a71)
+,S(15dd4fea,d7f39428,b10544ab,1eaeeee6,75a2ba5d,15d8971c,7860a5bb,b7ff7b7e,89955ddd,5fab2154,7d231342,7b7322d2,53924d1f,1b1fa961,8442c471,9c38445c)
+,S(a806b800,40294b47,6377a188,ed74dd9f,1bdea3f,f72cd2b8,850f6321,930ca522,4b6d7365,47d8b1af,697f1fa8,8ab3bb86,53e49aac,618910db,9c6bedc8,deb97213)
+,S(41e3723d,ca086487,7a36ff9f,6e431ee8,58a983ac,f3c0406d,f31ba3f5,5b9f148b,8ab166ca,f27c58d0,1a80b136,dcda9fd2,2753c52c,dffca007,9139481d,3b8392e4)
+,S(63b8a0f2,78558c89,d9ba3e58,70946615,690e0447,f8d4c953,ea00bca8,65bba3c4,321fad41,85eb8b49,53a95da0,f004c80,8c09b297,728b3a0c,2d300b32,43cf787f)
+,S(62beb7f,aa8b0d3a,505cae5f,82229a61,c1ca21da,d2ff856c,8942a9a9,b14c5963,e3d9ccbd,7120c27f,5cd88655,3efdc43,a36f4c02,2f5b7045,1ac9d7bf,56bffd4b)
+,S(b75a180a,f524b89e,be5d79a9,92f0313,bc133fcf,3cb2d99a,c65f2c48,1bd20427,e7855056,b11cc054,d37094b4,1e62dfb3,6a636964,633eed48,c39b8225,4a1d2747)
+,S(4e5bbf6d,5298fc76,97ddf9cb,e4d063a2,6b51f93c,eef032f2,f03eed04,fe4949e9,66702686,40cd9dc6,54514a19,ecd80930,1871fbbe,99254119,476e44e3,16a12188)
+,S(a9778c3d,f509f069,3baedb83,6d5fc1aa,b78e86e6,dcb61200,74bf6df,c173237,33a9c991,86a0f913,95fa0e50,d0a85d65,9230a41c,8c0be5d6,90ee013f,29d0cab7)
+,S(f1b3aaad,16664be7,c49790bc,1a4936ac,757fb3e7,26ccbc95,cdb7bb63,cf570449,d1dfe1cb,ea3fdc10,3f218398,14626782,643426,24d3aa3a,52b0fb4a,7460cc06)
+,S(d66cfd3a,b015d585,6a436ad6,a4cf019d,9563a05c,af4ce2d0,6988a4c5,9349f598,5ea179b6,d097d9e5,663b7305,6db940f8,d8e91bbe,fb951756,d07cf6fa,111efc4d)
+,S(a532a4f0,924b5d13,bef0f30a,a982edfd,5d87a16f,2c0d8470,ea8fe3bc,da0ac7aa,c2e62c19,ca4e3481,3cc3de70,df50386f,74fd1efa,ac6217ad,5532a927,1f8d5c1c)
+,S(a9ab2512,5df78835,ffbd08c0,9e07b632,81ebb3ef,3fe2fb3e,1a3e5ff6,28439b70,58ff55db,56e015aa,9aa43698,acc35df1,f2eaadb5,4e950c7e,3501a5b5,85877514)
+,S(ce058f84,90813dec,c184dc83,915c6d5,53df174a,41ed6521,f2cff46c,460466eb,414d38c4,58817414,5a815a7,84f4f71a,28237741,97b37d47,c7646b2f,8af3e745)
+,S(991fab65,30a2b36a,ab385c7f,31644de9,afe9253,9db603d4,737beaa9,6e406299,2a29b576,77c544bd,f156dc9d,44da01f4,5d373cfb,7ada94df,4f82af9f,e48eed57)
+,S(ee6cc81f,bd034eef,cc841921,5ab4817,ddfdd2fe,a13f1e14,e91c3f2,af715d8e,b8f79ffe,48c3e965,21c7358d,ea5cbc04,df8fd847,a97bca3f,6893af3b,e386d8be)
+,S(66a2d372,d6426657,5544d5cc,5141e003,16ff2dfe,813357a3,c5daccda,159c5ef2,b57d2d6b,91c6f48d,389423b9,af265e04,780000d0,598229a0,5bada3f7,4dbc8929)
+,S(20a02dd9,f697de3a,15043e73,fc7f36a3,7a5798e5,acb4cac6,adf5c692,3a421da9,1e6cf100,d162361e,aa6ab61e,711e3dca,ab4ab538,2fcc6b97,33836c30,cdcf34f7)
+,S(a0b8ca43,7818e81f,6be98b15,4da25331,9f92b79a,1ceda110,92e3a303,cb7bf552,4541bceb,f447d990,50663ca1,10fce2da,218508e6,48b630ba,a1abfe5a,3d543be6)
+,S(51714ead,73dce488,7e15c25f,b5cba9cd,e0d5018d,db5b8ffb,9e4174eb,1cc52c63,47b794a0,82ef561e,bee272c7,d66dd201,a5c24831,99977097,73b9141f,9bdafebf)
+,S(18ea2763,1fe4de07,3e7c41f6,a9921e91,7da195a4,13417a2f,ba74ac2c,d6451c59,398a0b37,fff6bba9,b33e0428,e8d7c93c,d31b3b83,2e955e6b,106aed50,d64df316)
+,S(e1d58b4f,c39e1834,a61ec341,acfa985f,c3d1f0a5,9d75b0cd,e8b9057,17c5a87e,1b62ee02,15fdfdec,8fe2ab3,bb7f99e5,af82153a,dd9c7f2,cf299225,9c6b3c47)
+,S(39793917,30d3c125,7dff5ba8,eb253dc3,2c19c541,11caf9a3,bbdec3e7,716c5a84,d6a1fb50,189f36d9,912cded5,c851da8c,be7b4ebd,41c2a1e3,f78aa4a7,f5f18015)
+,S(49b49e4b,601b406d,381dbf88,8b02519e,1d57360b,24f2aef1,5520f17a,5b9ede88,fcf3ccca,2f2d7b3,59be7be1,9e45a3,a0a76e9c,d0e42fad,bff7e772,f969a38d)
+,S(2cd8190d,b42f36d,20d88548,f0ff17a1,d64e38a1,2241e4c3,2bfdaa45,28bdc871,f729c369,22141490,5aa84f45,e5abfeae,2fff780d,2b16aa67,77ef59b,68259187)
+,S(1fd0fb11,17385466,2da0cb2c,f1f9d19a,b5b642ea,45d1c6f2,30808626,5e41025a,3136a688,fec60820,abc7825d,1c7012da,94e928d6,dbb6c08f,5579181e,469ce0e9)
+,S(f08e5f3b,d7f8b5be,18648a0f,5bd844e5,3f93d5bb,120d3871,7de4440,7af3a141,3dd8725,9067eae1,cab61bdf,cc94ea0d,bf7ea1bc,df1d289f,a526e15f,d9902fac)
+,S(a0033c06,b997fa96,373a046b,b5c6bdd7,a0584cf0,1feec5a5,d3f5cab1,1c5ee207,eed61931,aacbe48d,708c2cda,2208d40c,39a577b6,3d4ffa17,d140a8db,c3e268b4)
+,S(77deec08,68bea671,df01e29b,117791a7,83ff8f70,4426bb1e,1ea91b6e,62c16f70,b908a228,ba8f73f6,3271ae7e,f19f5e9c,fcc1fe27,c0a224b5,dc426b00,5664861d)
+,S(2fcded5f,fe2f10ed,1a1bd1fc,63506b3d,994a03c1,c188d960,5fd5aa1b,a9aa72b1,155bebf6,f09a86f1,d20d7c12,e12a0c66,b4df6628,4ff9d45d,3fab7d76,6bbefc6)
+,S(1f0c0b2d,fdf5e733,abcadd0c,9ba47c09,8667f8ff,77c2a904,c8310e20,995db3ad,bd711bcb,84cef55f,5139b761,33268489,70f63182,85ccbe44,8efd7566,577bc566)
+,S(b4a8544,e7162c44,60dbdf3c,5edf654f,d603fded,4aa885ef,465ea8f9,a37dcf8,53c04391,b3f2e8b2,32e27b,2292cb38,99f8ee6e,dbe1934c,13938a3d,203c62b2)
+,S(df0ebe82,dcdeb735,38f31cdf,ad307397,d00a900c,6d94221a,9d85b0b7,2c5bd68c,c3299639,e7fe2e55,447b869e,3a4acf8b,4a1d07e2,d70701c6,8a2f4733,88decfb2)
+,S(eb04b9b6,d1c38c33,e1eed101,fd28f89e,f9fd460e,5b379576,ec7c9267,3c101c0,4f26d849,7f47f80b,2b13cab5,782d6e9c,f5ee7548,3974a4eb,8d8f28,f5e0ee9e)
+,S(7bc9efe2,197cc6ce,ac94b37a,cab9865,7db4ee0e,ea7b9cfa,ce9f71d0,d3294334,d931bcad,52347906,a941d940,4b5b3a51,ad8fb493,1c15c9a3,7ff782da,5da72013)
+,S(8922d1e8,f4bd52c6,4bd0c10c,66a3e8b5,1321dc50,cc964844,e0a41ad3,b73e0b9b,2b643cf1,7d23e21e,890e6abd,3337dc52,61c9eec6,d5edc318,2a02a7a3,4a41c431)
+,S(42f2ede3,3a9312ed,22f6a842,ac46801f,139a7da,77ca0e9a,cdc19d1a,f2ddcc72,50d45bcc,715c985c,b9260edf,fdc8e342,ab95360a,6bf4776a,c70e3497,8f26f99b)
+,S(7bdc9720,1862feb2,58879255,726b5e4,627549f2,92936ea2,f3b27051,4d6761c6,700eb72b,7f77adf5,76e6f0bf,f8406660,65372ee4,cad6269,f1ca8541,2da4fa8c)
+,S(b9b527a6,4bf549bf,5e42e0d8,5228e1a1,f79d1647,d2102306,6b6d98e1,746314cf,8e1b3464,2a721f5b,93a2a2b6,802f30ea,e35b1539,c6d84eb7,499299aa,aa0cd93f)
+,S(b65de529,34d47765,1c29192,93ce1177,d187c431,590d2d74,978ac258,75e3dda9,3d6fcbe7,4ab9b5ce,b3dc5535,13036457,f0755509,ecbd94ef,324e36d6,3b9fa529)
+,S(18eab632,608751e,af3604f6,a3f05611,a036edea,3405aca5,c2e66366,ce7c6b9b,89eb07bc,94671119,36e11f05,79f91e6e,ccd42605,24bd7dd9,9d12b365,95074c5)
+,S(a2611066,4a479643,909a1606,596d39db,c7502ee4,a31b40a1,4eb1c60e,ead360d5,4b45d74d,88025576,3262d9fe,38198218,85721a81,f323cac0,3e87f372,75814901)
+,S(789454b1,2c108537,a019dc58,35cf25c9,c77ac0fa,f6001959,5da9435d,3c08a8a7,6bee870f,ed2859fa,cbef4337,8a0bd760,8841da03,252687a2,591ae0bf,a5829041)
+,S(1977c206,fb4f65f0,11b683b9,c2e0df95,f81570f9,9f6625ed,7cfe25d4,62791569,de76dda3,c22244aa,95ff435e,5a9ebe05,9dcc79b2,75d91de4,67de435e,bf698479)
+,S(891f0df7,d259d536,40fe6086,1ac34d7d,ec3b5ad4,c3f56585,189ac986,65f4222f,cc5e0bf7,f538a2a,1ee7a601,1a8d6b0e,5c3293ab,404257d,ba90ace9,1b2de219)
+,S(8534bbf6,9262f81e,5926c282,f412b4d3,50169de0,3c5c5e55,c80a937f,fe99530b,fbeee581,e0bb0737,4cc764c0,be5451e8,f70cfc23,4d415cf9,fb08e7eb,557423b5)
+,S(e5b6f564,4e7dfd3,7474eafa,354598d5,58fc897c,f010198,9e44b07e,a86f63fb,4368bbfa,68a83a8b,76de7d98,38880780,8e153cc9,b380ad0,b2c6ce26,6118da79)
+,S(f9591a8b,11c3e514,983dc5e5,507247a8,46e184f3,b4e38e29,f7c90d4e,6c2b850,423b6436,2361f587,cca4e288,a366a1fa,957de393,f29ff2a5,1fe97a0a,d90ff6b5)
+,S(3d3239d3,252f5e9e,ef9eb617,c9646379,7c995059,57bc7821,2f2920b1,ff72384c,1c3e37b6,fc9bafac,e52798bf,695eb4df,ef860ee1,a9b67df7,8f73ca9f,22a2e57a)
+,S(f4089723,4b574d76,86a8e855,408612a2,a0a6ce61,c1f14055,201d5c67,bcc5dfb8,6b8283b7,3e72fc91,54aaac24,2565a79f,c3a62fa7,602ffaf3,c7453209,c0a56a4)
+,S(ace076e7,aea9c745,f6be65f8,498b8b47,95058ed2,b0413c64,bc4b462a,2e267ccf,b62c617,377fa9e5,eb72ed6d,caf353e2,dc58f362,a994520a,31f1dac1,168b97aa)
+,S(70ccbba7,408c6069,3230b848,eadb1d1d,b4e63f33,b4fdf6af,29d6fc2d,86ec161,fc1cd9a0,46d30e60,e4128677,654a80ca,5a4ff338,71fbeec4,d7782c7b,a14d6959)
+,S(e6e7a8b2,7c0c5b0c,5ea58d3a,4af5abc5,9e33fcb3,9970aede,7a8de629,e758d372,d40d11c4,c8c8b5a5,d511fee2,793e2c80,b40df3a5,c98bd704,9a8db3e5,c98d4a66)
+,S(cdc495c7,e0a02e68,329495b7,19e2c424,7910e9a5,cff6739,117b1d32,23216346,63664f6e,9306c0ac,f29ddcd8,7f1df6ec,d51fc68c,6ce422f0,559205b1,681583d4)
+,S(2784e89c,2fd721e0,22ba33,3b824dc1,d0142f19,6f35ae4f,825975d0,7a2fc5cc,ba58a66,bdfa661d,354232b9,b25628f4,5a391e44,f00841db,4a335ef5,dc3b8cf4)
+,S(ab699b62,ebcb7380,2141dd83,184ba3cf,c9118bf,f6af4d0b,9b98ecde,b01a2390,5e548210,b71420f6,c5d42547,da0a7ccd,2be0117b,79847e71,a609044a,34766905)
+,S(781ea7a5,67ffe37f,b9fad6d3,96dd1eaa,2209552a,9835ae08,dda3d4f0,b75756ec,3c76d87b,46f63b97,e4d48174,4ba664cc,403a507,dacdf4b2,af9505a0,f2637256)
+,S(75ab2d30,dd5c0a82,a5c04fe7,b8fee5a3,a0e1ce3b,e20b33fd,39d0bd3e,e374029c,aaf46147,fdb1393a,cb9f6f8e,694c1cf7,30536efa,b5ef921a,72215fcd,61914b9f)
+,S(294b6698,37303da9,6d23caea,684ad56d,8712433,d11c7ced,85a10cf8,8ddaff0,af4d7ef7,feb73e9e,a9407fa8,b38bf1f1,e5861bfc,82f9cb42,22fa64f7,9b46f7c1)
+,S(d8676aea,7433639f,c9683b06,bd97011c,f290f6e9,1257ee55,ea3c6e34,b824c8d6,710c8876,35d45545,90f3e5c,d6aac133,9017b2a,de71e30f,d71a5b71,97a7456d)
+,S(5e4eca03,d90f5ac,2ac4771c,6d86a458,cee71427,a93b7544,fd8bee74,161270d0,44fe0143,b970f8bf,affa6d60,33628894,a93bb4a4,f48cbb9f,f0caf0b7,40c97351)
+,S(90152daa,244fba85,fe708f21,29b55485,265c3a3d,dbc761dc,157f125b,8580097e,1694d2c9,200b8690,b59fa3b2,8fc2f613,8a6d392c,48357939,b9435739,83ef2cf7)
+,S(67dd54f0,96f171c4,53fa953f,acbf2b9c,daf3a199,732ee0f1,91fb3c90,8c5637b5,5327db43,2d33676d,b6502236,5a338c62,5fd6c4a4,536645df,b36279bc,4ede74b1)
+,S(c6496a83,8f95ff57,65a0f144,774cf543,2e770457,55efc790,142df95f,bb6c51ef,cc0041d6,604d1d73,92d86f01,d8b05b53,1177b51e,3a38b8ca,ca8267fc,bcd752a2)
+,S(e799d70a,b163bfd,475e5e72,8810d9d2,425bf4b6,9461e9ad,933fdb6f,68c11c74,fc34745f,e29bee3f,9b0adcf7,618c6d13,e504449d,1a272b21,5ef9fc18,14ba8600)
+,S(6d3c97b0,151a9011,5032aa22,1183d82e,820c8774,c3dcd75a,cb6f45ac,5d489d3b,5aa8bd01,3d15d77b,8f695d43,8cedd9ee,64b57df9,ee672323,1c2cd5b1,4ad4749f)
+,S(86e53e00,1c1e7de7,419cf2d9,a4c6a39b,b96d8ec3,a82f8165,45658eff,a517539,f8b1b70,f2efecc0,cedda525,40663114,c24491ac,266df520,ce475f01,ab44ad86)
+,S(a641c339,ac877cce,a9a3267a,78edb33f,75feb90,1f3c8743,47c50843,52a9880a,d88a6d4f,2b275ac5,3c7dc101,b7d69ca5,407559c6,afdc9009,c34a7256,f982163)
+,S(3a0153a9,4d778266,4581de43,6de31754,b925aad5,4090cceb,9e013568,9d82511a,f6ca48,94935c5a,7a252df3,8ff06cf9,11154b0d,9f0ac55e,35a33d7a,58802035)
+,S(e78024e8,a131c9ad,40526b31,d26e96f4,2c2e51d7,c63f458c,5bec2a61,472b170f,c540a14b,1ad7b18f,23493d9c,edab65dd,3a309204,976408ea,f197f658,9f4e0c53)
+,S(7858c85e,8351f0ec,740380fa,b1924668,7f05a161,e2dd87cc,7df13338,a86a5162,cad94344,5313a06f,c382897e,7c444d53,7e658e06,5a76fa60,928d7e5b,36a6de1c)
+,S(6643e28,1c5bddd4,35a68c17,965f334,ddb9da8a,d599a4b8,2f37147a,cb0263e6,9f9f9e36,8ee1aa0b,9bc8f928,284968d5,6f2dc8fa,6944ff36,d728b588,a72cf79b)
+,S(5f36d937,a286f14c,96fe8f9e,3ea05d56,b3132523,e9a135e7,106592d6,b9b2254b,9d6377c,c8265ff2,dcebf753,ef2fd39e,9adb0e1c,3c86acfc,2e54648b,9056310a)
+,S(212eb1ae,93d3a0aa,5f626f26,628503c2,310f9172,461ea12f,b17677eb,c63e2224,51e57e33,347f2016,c738d9fd,cf528269,bbc5afe,f5fd6fa5,1dfcfd47,4b6d1b67)
+,S(526952c8,940b9f93,32848145,203ce261,dedb3b93,8e6f277e,9a085d77,35e9eab4,8657cfa3,56df2aaf,9a5fe2fd,81804ff8,1d9aa58f,143fa109,52e4f4cd,85a42918)
+,S(20f1750d,ef762812,e4ba8778,c953a2d1,419e03c,b97ab6ef,8f98be07,4c1c099f,d2fee9f5,3e7ad2a7,fb20bf88,16a1ec2d,d9d97b4e,5abc060e,bd8e8b31,bacd485e)
+,S(e231a3b7,ea011665,c223cfb2,7f13c691,dbc7f5e5,efb66496,da2936dc,d67ee910,aa645c2e,18e80131,f3e7316c,7cdf13c3,45e4f602,fb17011e,96eb5fc0,bf65d53f)
+,S(7a4e4d52,3fd026dd,3daeac35,552e7299,d01aa962,687a02cb,ed7174b6,25c702ad,351c12b6,a7398e5a,ae461204,4cd7c9a4,7d2bdfc1,1f941b84,71eb3304,fdb965d2)
+,S(fd2f707e,76965670,67ca5a5c,a0010c6f,9a858967,19a23eaa,5574d1c6,cbf137b3,c45a430c,1d5ae473,31f9b161,3ce55f41,df00e287,9e3bf8aa,1ae75306,f8315408)
+,S(c506cc1e,8cf2f4fc,e1011d67,6d304877,6c2ac2a4,f8265373,f3f918d3,f02bb89d,8de6dfb3,74029b33,2fa47f6d,1f7ba609,bea33d6e,2f58ef0c,58641e2,a5d3118a)
+,S(2ea7ad02,d9ccf999,86ab901c,3c9cde3c,ad1bb4d7,d8f86eeb,b8204b75,ab5c0369,11222bd8,6d750302,763648dd,daf76947,2b213562,494ebd9c,e4003195,eb0ed43)
+,S(ab8cc192,3555e4e5,2f84b421,ba2ac134,f8a6023a,ddfd279c,4c338cd1,9e159c5c,2c48e3bd,cc268dbc,23e9fbda,6c449079,5a5b54eb,54ca8ff5,14d1f23f,8751ee1a)
+,S(88fec2e1,cc7c41fa,91b48e1c,2a71089a,c3778427,f2cfce04,c54af407,f5dad430,ccb45e88,4f696653,5fac7a04,9b035c26,dce30666,fb1fecf3,c4b89deb,8b3ed80b)
+,S(404587ae,1accf5d1,b42c3127,2ea0cdce,940522a1,c64c757c,11d3768,774b0d41,e8dcf25b,25ae61f4,f7368c36,9b351b35,63401deb,5ce55325,f96a393f,ef0e787b)
+,S(8a701eb9,cadea8c0,8d0cf20a,b2750915,28a377cf,bc4d9097,51424d1a,7eb9ab8a,4f045982,82a9ac70,c3c76154,ca98b5a1,265e8b26,6f02d43a,4549cdea,caba5a45)
+,S(c2812978,194009c2,9da141fd,b108a4c3,66e15e06,c6d64389,29b2aa78,89ad3d56,85409efb,6670e969,a2834255,dcb1e546,9c9db5e7,6e549afa,974936c8,b75db5c1)
+,S(9ffd36b1,c810c843,92bb04d1,90b82be0,f8ea4b4,2baa6129,8adfb810,71d72fe,11e27a4b,a11f0df8,1a42955e,bfa9fe1a,6f25fda4,6a65fd87,1caa3d6a,1b38404)
+,S(ac4a0044,bc92b017,cad07210,750eec62,39e43147,5e3feb25,f1c6f879,a5a48b96,41c7c3ba,731002ff,1e749853,344c1f53,f526bbbf,457b4de2,d5f88ce4,1eb8dfe1)
+,S(c78b101c,157ca920,b3fc83bf,9d19fc5f,57d8086c,d764e142,24ae4e86,7b06eb5a,1a8d2c6e,b9d660ff,faf5f533,b4f3b8f6,b7a9d7cd,5c29c1d2,deb37f19,d38126c8)
+,S(d08f3b05,572348b9,5f3c1c2d,baedd921,c24b0db8,e6d17d13,578e5ae8,77147cd2,27b5fcde,a067cbb,69ae3e5c,90a38523,4987dfaf,5dfe0696,91461e26,762713cb)
+,S(40ea043d,5060f61e,b81db0f1,c7c5c1fc,1091cf51,c5808489,3d08c4b2,a5e312f5,2ef11ec4,2836302f,e02719be,259f1536,43de03e,fb659f30,84816a00,1d66b27c)
+,S(f9d104bd,fb53b4b2,de8827b2,8242eba5,17db73f9,dbb1eec3,9f184ad0,358362e7,d7644a0b,6c371948,2ba707b6,d7d43f0a,68f4e3c1,4af6f167,296ccfcf,4d771877)
+,S(dd276aee,14c34829,4e6132b4,9a05dac,fea5f8a2,41712b6e,5703778d,eff9ddc9,9be617d,5d92eec9,7fede655,39690d0f,4803f760,2b74066b,7bc98353,a5ceb7ef)
+,S(8522f839,d5f17bd0,c67d11f6,7f0db8db,2104c7d7,785252f4,c8be84f0,61155d49,b7791951,80311f8f,6cb9b59c,ddca495a,e01f3edd,599f8777,3163a959,5a3ea117)
+,S(732802bd,b4f3be8e,fc02a62,4614672a,51049166,4bfce64e,eb2030d8,b6b5b225,7bd4cdec,590eee1d,6a505f92,cc0b25ce,d9022d62,d1155f8e,35a6ab72,46a3c6f3)
+,S(1b3641a1,2c4f8352,21e73276,b8bdea15,f5ffcbaf,c4496fc6,8fbdb573,5967af62,3d50ef5,e5d12b7b,2ede2e15,3b4cd01c,b824c32,7a8e1ce,f0fd866d,99664048)
+,S(d3034e18,4e9284ff,ed6cbe60,cb66d391,c897255,dbbe8c85,2c79525d,3f01a7ce,b3666304,16ce50e7,2a094b05,85f1ba1e,11172ac4,eeb353b4,8c4f8f99,f9d09e25)
+,S(8e7a8200,bd22f5ef,18fa4461,8f4f85a,61c6db2a,a3ad176d,65c3270a,69e9db17,841fe3b5,1cce979b,f87536ed,c71f4cd4,4a482475,19b35cea,dee4b3b1,f3530568)
+,S(fcccb4de,29ab8671,d1aaee27,61421ae1,c4af5f3d,839009e8,5dab0b65,60a4027e,a0229f96,203b89af,d5b6ac06,9e977e71,a6e269d4,bea29c47,fa6bd22e,f7f993b)
+,S(e68cfd7f,44358180,84c681f0,aead705b,9e74a476,1f99e576,9252c007,e44c8a26,add9c0a7,b027e2ae,42378d50,cf0d0eb5,71229161,8e9f13c1,672121d2,c428f82e)
+,S(8b6f0fad,4b81ac16,4866de7a,c8bb3252,63bfe008,b726e9a8,72e0461,2c6891d8,9bad6508,a8d604b7,8088d328,ca27fe13,91493e8f,a6291288,92ecaed,ba4bc9ca)
+,S(108a0caa,37ac1949,263178cf,20674616,470f8943,57a921ba,8cfd499b,d64b78b1,68150d22,be05956f,5ffe302e,1ff517c7,9b7c0452,6112b2a7,5a819f64,a265bf55)
+,S(fed18333,844c579,1d32daa8,3370a5c6,ab8e13a5,2654a08b,42940284,c757edb6,67bddf37,8395ab84,eba29a97,6952ea34,b1b52c2e,d3f89e56,f839c1ff,36457fe5)
+,S(bebfb39d,ecd56cf3,50bed6f1,a4cde24,848b2d84,23518da5,1fb2ee0,90170a2f,1302b4b3,bb86f887,22925fbd,e146d948,5acb2db,a61e751,97dd40ca,2ba11573)
+,S(67135aed,2a58d3b6,c4470d3c,b4da7b56,af8d5057,9d28a86c,9c67bf28,181e716c,97c40aab,2786e3ef,dc8f3e77,8f374446,30fa2f3f,53eb040,194809c,8efd6664)
+,S(b00eb5bb,9566e5a,cdb09dd4,14d6df03,c3dea75e,90db8b9,c37928e5,4354f90e,6d120e41,1cb6e674,e9973aa6,3999af3a,ccc3a670,112c964d,8aef93ee,e69b1258)
+,S(721b1a6c,be8d2022,f09db6d3,ba39b2d9,23337592,de9efbb8,ecdf3384,f3bb73a2,cdb41b62,631a0f47,75ae1f2,e94f8075,4acbb2e7,950be088,5b458c8e,4a05310f)
+,S(cb8d78ac,15b12ca,8dd47cde,190c420e,42f60b83,9489bf71,d10a3e44,df8a0837,80be31a6,a3073675,e8cd3846,cfb2e127,abdc448b,1081a2d5,d177ccff,ea96dbc2)
+,S(491cfbcc,4919d884,d23f3ae6,6d143e55,37e5c52b,e2ee017a,afec785,6c781920,76321b50,26283088,d344d29c,c4d9f2ec,3ba714d4,edc1bee6,2b17ecc4,56874189)
+,S(6ca33ee,48992263,23aed33f,f822303b,8145d146,c5ebc27c,fb3700b3,6ab507b4,96b73ab3,f189d064,1e0a20cf,d09522bf,8c376a0a,9c9dbec6,44e3e8d2,c0b11f4e)
+,S(6d1fdfcb,3c48971b,6cbb33d3,822cfa68,1bf602ef,98160f89,97ccaba8,19d842c7,82bc7c4,66088262,5e57c062,96f04600,fa555ac4,5596b769,9c6d29c,cfb1713f)
+,S(a3e81699,1cf92f41,a69ac3ca,36b23796,daeb533c,3e1e9b55,c88e3fa9,fea43554,87a6fa9b,e802467a,fa206b0b,45405309,65887df5,786d20fa,25e94832,312855f1)
+,S(fc84abd7,cbfbc329,4eac7438,d50b2ac4,7f570e4f,3f2ffab5,71f8c3e8,7dd49c70,7447b269,71356b0,e59b3f1c,d99b6416,589f6c3b,a566c75b,6915377d,a7f73dd9)
+,S(beb23240,8fc515ba,180d3125,2eca15a1,af4e02a8,73a69769,53982408,355d1b1,12fa480d,6fa8a9aa,e5edeba9,31b765b0,e2bbe6a1,5eb9e95,b3bc343f,519c1459)
+,S(68891679,cffad7f3,19a373d7,1bc02529,a50e63b,60434f13,df760364,1a99eb8e,40b78db7,6db28aa2,d2ea7c1e,86d01503,7736ce96,2e6ec524,da07b5b7,68772fb8)
+,S(ec435ad,1ae7b040,fde2f736,e8fb5d53,b42e2fcd,428e9d96,ed401ee2,bb068817,13bf6eaa,1283436f,4a828a85,66c4f795,26860c45,d650fac2,44bbec8e,fc96f9f2)
+,S(679f5afa,661f688b,7dfb7ce7,f77e4904,60a75576,6216a49f,374594d0,6bde3033,ff3fffd9,6c254fda,558f14bf,c8f05cb6,c8fddd32,a487d709,4e0fb35c,6f617ca1)
+,S(9febd8ea,5dc26e5,fbf48aeb,64307b21,1aa2fc02,eceb6d68,ba89a652,f633be60,c0867bc8,ea6238a4,ad36e785,cbbc5e0f,3fc5dc96,2c778992,72be4364,8e630bee)
+,S(d886b154,c534b48e,db6bed69,6dd8f9f1,347b381,1b593acf,e2137c93,600b1601,a4cbc118,aa07daa9,c4e246c8,efeaa3f7,d74028c1,93b77964,f10ab5d6,f75d077)
+,S(af8ccbef,c187a3a6,83f6ab6,8ff217a1,96a8e27,dcec349a,b7ee4a74,446e9d47,3ee327c,99880392,7da5b625,be554e6f,1662a733,25a8fdc4,990716cf,6be941f0)
+,S(1e9800e7,891c261c,a3451d22,44a54a84,42d33458,a997b365,4a6198bc,7dd3d26a,322f8986,bd6ffc0d,d5f1a321,e82e6b37,978120c9,66f753bd,5669a773,65a215d4)
+,S(115c62f2,9f008009,5840dc97,f3a90f30,aae4ffa6,a2d255e4,15d64c56,77150044,4d944c12,7e37ce5e,fd7660e0,1e4fdf0a,cceef95e,8bc2da14,a8fd7e32,ead8af95)
+,S(1cb9f9d,acbf79dd,b34d78e8,e51225bf,3f53135f,f4282ba2,59855968,2ae0178c,8fd3a4e3,7a189bc9,421595e2,bcf234e,d7b602d0,855de84a,50c68cb4,bd1a4bf5)
+,S(62a15bc4,63e4c167,4bab2a5b,dc991e39,af86d258,f9de770b,66a79ee5,2fbfe357,b78fca9f,d9467e4d,256da69f,e6f45522,d376fe41,e8ebde9f,9f7bde4b,8ef52749)
+,S(574a6ce0,5bf31948,31570914,a73bed4e,6bd2c82a,5a19dec4,54b11e93,5edf505e,e7b2e2cc,cbd6f338,f0ea60b8,c1a9a50e,d02dbaba,8bb5cb78,9b281a97,5c001318)
+,S(64c6e37c,a3a361a4,baf9ceda,d9ed24fd,c5ae50ab,560e6319,4adad1d5,264084e6,e6e42f56,56b6b404,9c54a07,f35ae004,4b7a480e,8271c8d3,f7996ed6,68116067)
+,S(49065a97,fe4a8de5,55646af8,475607a7,71b27746,ade7fb11,55308107,4900fd84,985d689f,67a03090,9ab8eb43,c7b2767c,94e7217b,fbb43342,83485f1a,d70ae7f9)
+,S(6fd32ff9,185790bd,876a683b,7e889f32,8500c91e,7e5889aa,44394caa,330999cb,12fe8084,1be1f25d,7a93784e,9c6bf01f,efbd6493,8f1a678c,64497a8c,85d2de3b)
+,S(4a67d4da,48189c8e,6ff34812,f7094851,2d6d12c4,26fdc98b,4ebb92b6,62d3b185,58ea83f2,f6e5b777,737c668e,efa71b8f,3e50095d,389a5540,684cea51,7f8150f5)
+,S(ea1ac931,d3a92770,5d20752d,b9adb464,edecf4c5,95c20c85,987e1beb,a79f4db2,cf689b0e,25aa9601,58316597,b06fd91b,426b5753,68a48830,9c3f6f34,6722b83e)
+,S(8cb35a6e,248a0527,d572663f,7abc99c9,61414af3,f196c6c1,2de4dbf4,dd545c5a,4b32e4e0,47dacdb6,66edfc3f,a08d500d,c43292ab,f36bea7c,4a3952e6,680cfcfa)
+,S(247c800c,f150c2ea,cfef8dfb,f4581560,84318684,430788e3,c8d99ccd,d27f21c8,cc82d8dc,914fd1a0,e626462f,5829eb7e,a708395d,db3e70a7,57942e85,1f1d0db6)
+,S(6543d7c4,7fb927c,fb0f3566,6103708e,5e0c4a4c,ed202482,c9f48647,33426673,e252b29a,69b4ad75,814ae0d1,631ea750,20bbc730,3fdc819c,88d8f3d4,7907ebab)
+,S(c4f11255,d81c33a3,a09da4ac,af5c9c16,d5e759db,2e1026c2,9b3556b4,c388e6d0,e2e636a8,1af48ab5,814e5530,e48f518d,95379eab,186e94f2,4fcd551d,1ca8fd49)
+,S(cf186a9d,85da39b7,7383d92a,14af5a05,b082848f,c9e60598,1bad8ef9,5e019eec,cabde21b,c860fe08,53f672a1,64010968,6b49f37e,61cc642,48f455bc,b079e3fc)
+,S(e6c3e353,ad69dc13,e595c2c7,a88b8fd8,fe9d1d47,3d45f7f6,be9ae903,86ea8f32,7d3becc9,4f455c1d,21610800,a4985f33,96b5a920,d5ed2b57,2107c28,ac690be1)
+,S(3827b3a3,9bcb554d,54695dc6,bcf22911,d1ba01f7,730d1c11,8d6a7b2e,c1060988,32413047,b7c9ee83,1b818c5e,cb8f4c10,c800a362,419227bf,d9f50aff,ca25a211)
+,S(ff37cd38,a4b149a2,a8dae898,c40b0ef4,4b55ed85,11b5413e,48f5608d,cc6d24fa,5e615919,8f4c6665,7c3a489b,86853a95,f3ffded5,20433cec,a6832cac,b9c49048)
+,S(bdff4fc8,5b492fae,1ef34322,9e83b751,d9e53c7c,455141de,f68d3e8a,320ce509,e8fd9864,9dcc5d66,6155088a,29959e12,531f8a4e,44d70b8a,43b4fde0,8bde3d20)
+,S(fd6ba29c,313ff2d5,7fb2719d,9018f11e,e59d1007,24146aef,625a9b3c,3bbcd0af,187daf5e,913310c3,39f584b,3196b877,5018dbe8,1e38abf6,de73e97d,f5c1079d)
+,S(ea3c422d,48606929,ef72ae1c,3ac30178,4f4b5f78,1405fb62,1d0b710b,1b29ff28,e458b41e,c6c3e06f,c37637ee,fa316e25,d10b377c,ef99aaf2,564fef92,33bf208c)
+,S(46537133,4982d600,8d228924,f0b459b8,2ba8aed,af1b3c39,f87053f,487b3978,fd96654c,13189def,f243bb29,e2143dca,3b2444da,3b895700,6bbff65a,4dadf3f0)
+,S(fda493f1,1226069a,ac76227f,9f9e1051,b5b29b4a,a2d0f9dd,99637176,8578d8f5,5a33593d,f63d136d,f43a69d7,f9803a62,e04e55b5,25633a06,d8eb86c7,e1d46fa3)
+,S(74fc42e9,5f09018a,5468e283,5ea36fee,7ab5e757,c57200cd,966174f,39f3e4c1,ccaa0b40,3802c914,da86204d,45f8f5d7,3760e075,4bfd10b3,2a8b2521,218751f0)
+,S(98cec4a,997b79a0,cb818da,58e41477,d98f8c2,8140fbaf,e118bb1a,ec483d53,2fce6058,14945cd5,367b82fa,182c19d5,ac422d9e,840eae4,d81689ac,7eaaec08)
+,S(c742ddb7,89a5cbdc,2055119f,697fd575,e4fa1540,96cc5fc1,3c2374b1,13cba60f,9b0af128,34a990e1,d402474b,e6dbaa1,b32248f4,f2b1d680,13fa0dea,46f3532d)
+,S(dba2e04f,9a78066a,b5897913,6c4c7224,5b5973d8,3b13819b,77409fd1,e791eb89,34747922,3adb5f74,168240e7,a178f077,aa0e90e0,870456a8,89dfca5e,633baf43)
+,S(6d4cae43,6e598586,7b984dcb,6c2472b3,6cc47f86,eb69fbf,1069c69c,42f6538d,c7fb58c9,f0c4f7ce,dd7c53c9,23efef52,125c2b67,d67f1ced,b98bb1f3,d5e0a84f)
+,S(4c457f6e,d5b67b05,5b664ed4,3bae291a,9ec5b539,6fd9410f,9cc16a03,b8523982,492e5bcf,20aae19f,5462ed68,2a72827a,a435f47f,ec218e98,8e91fed5,20f344eb)
+,S(4d7e6922,34778a41,f58033bf,d74ae295,51fd8ac3,64cd817,9cdd441f,cb46eb3f,756ec0b2,ff5c9d3c,3a453879,17ada4bb,6d7bbd07,bd10d2ad,c092f46,c62750c4)
+,S(ac5be50,69bad479,bdbc565e,ab74ef94,4a48399c,a4af915c,fefc47e3,7d464b2,3246e3fe,bc5810b6,37722c54,69ce45d8,8bad5daa,529b4381,928b7cfa,de874345)
+,S(7da88d41,21350139,bfe6a481,2534b25a,24f91e0b,60d882d1,5d69e840,da3995b2,9888ad8d,62a7a4f8,700bb03c,f9772432,6a2d092c,98adbeb5,cbc20348,f0b9c587)
+,S(389ff31a,63239cd2,c9aa3eb,4d3ceb49,5d3b922b,5d137d4,e8b52be3,b1abf149,b0ec2a2f,bc840bf2,8a22ab22,b76c1485,42f54ed,5515ad49,dc3c0037,38fe7c93)
+,S(c1cc1acf,5fb128b2,ea65afaa,d3d5736e,a94b2e49,8dfcf6f8,f3c27a5d,596c4370,8903584d,1986ad31,6cc6bf2d,aa2a88cc,ecfec6a9,c1bb153b,27c409e6,934fd38e)
+,S(399ace52,b92768a2,a4740be8,31c96c04,2a34957,e91b3cf9,8b3518b4,87c9aa3a,908314b3,abdb3a47,a117ae09,5d609fa3,fd9af1c3,ca04a869,786eb134,48800005)
+,S(69543fd,8c9d01a5,702d9859,305a52b9,470cc606,cadbc76,d8283ba9,ba06d0a2,e998e7d9,a0c372ed,2e348f17,b3298088,404eb1c3,8a901d1b,6f4e8a19,731057df)
+,S(2172d54f,df9b46ef,5a1289a5,872b1c28,911e553c,f703ad6d,400b6af7,e8200100,2121b47d,3b790e5e,c820df5,772b226f,34a8fbeb,f642b5d9,edc18971,1b687a8c)
+,S(f606f7e9,37a324e5,d0e6847d,24923965,cc27133a,10e43f28,6d45f7ce,9d5e8b56,70013fb8,622a21e2,d1337944,89324a13,f5b80580,91ca08d1,a30e7571,3e86e007)
+,S(9f1520c2,dfceb64f,1f432013,b342af35,2f95bb2d,d49aa14e,dfcd8e71,7c40fc99,fe8fca26,feb1f004,8fa4fe3b,764a907e,d53dc0a4,10308199,6cad54d3,898e863d)
+,S(6670af6e,7587676e,eb0674eb,75c93d38,53afe418,cb286605,18a9370a,231eaa08,2993ff5e,dfc071ee,97fcee9,bb12fd8,fb59fccc,524d8537,34ba4cee,4beb09f3)
+,S(15c6d58b,345cc4bc,e4ca4e2f,ee954c2d,40650a4e,ad6c9524,65f59a94,b3898350,894c53b,47276196,65a0f3ad,f528d2c0,221b12aa,73df2cf3,a6b0e778,a363cf7f)
+,S(bc4ab6bf,60dbde42,c9293ef1,75f85a48,adfffd20,960ea454,8a919977,75389621,fe28a0ba,24a4e2a7,45d6bb68,ecd71931,791a74,61549a44,37a34761,19040e42)
+,S(5dab1c63,23fbf2f6,e495e87f,1c703ba8,64f20e50,4007dc80,54ef2e11,d3e6ee1,1fd0c200,cf4460bd,ae6db415,3e68bffb,e7f01ac1,6b30e305,9c134a86,52695d93)
+,S(2df1cd57,d7357c44,7be28dbb,c339ceb,5cea0bd8,e702fbb2,dd67c189,6a8acaf2,33192011,20cbc8dd,c3b9c031,94db76f5,86eefa67,995dd741,492f425a,e2f1b9e8)
+,S(2d81ac17,5a02daf0,83100585,ed2bac76,3d9f9764,15356fea,584ddef,60d9ab8d,f9908cd1,3b1785f5,78297fd4,9e6c26e4,21052e2c,ce9f51c9,cd58183c,2df9a0b7)
+,S(1fac1762,fb732e73,2440d40a,5356eb17,67b1e7f4,f11e8db5,9ef90702,437dc097,edd5784c,a58d5113,2b5a08ac,e75cb30d,5ae7ce27,129f158,4df5d95a,7b9b8729)
+,S(d06a0b5b,4694b90b,80c93e88,4aa9086e,45cabaf0,99b15a9c,c2b19678,38c8c98e,4cad46ba,2777b24f,cd1b391b,222ff3b1,14fcc814,5f78ada4,98620cfb,747def3)
+,S(4928df27,590240f9,9907928a,cb6f0695,870059b8,cf9b1d69,29b152b1,7de53445,b773e60b,655b3b0e,7b0c400f,37dc336b,240b83cc,286a8ac5,3dba751a,3300d505)
+,S(a61bcdf9,cd541811,4ba99261,7322827f,f945d450,c331ddda,1b8639ff,87a28390,3e771d6e,d6fdbb28,54601b2b,301fe24d,8e61b370,ebe644ee,b40fe807,b8d93a68)
+,S(535a35b9,3e2fb7ab,b3b1228c,a7977,fb8e34c,107f093f,9f641b15,11db93c3,2471ff35,5657cc8c,38283fba,27c2e3c2,92475fb5,e8d52e96,f0c9fec9,b2ff786f)
+,S(e68a652c,e0140f29,376888bb,c6be70b0,f23ad42a,d10b8acf,a5f790b4,c465d4d0,49d7390c,c368060b,3134ecb6,dad52120,ea6e0c7e,b80c94c,6cf9c1d,3c1a7385)
+,S(e8939e7a,74dfccd3,ef17855c,3ea20e99,f5f05f6f,8bc4757,6b4f0e99,37e25fde,6b48a73e,ff0a55b7,c90c0fdf,449e4c2b,3773f454,da2c388b,3e0829fe,d661b173)
+,S(496013ea,31451874,800fa293,a6e70ac,7fe16483,67c31daf,bfd00faf,48751543,b5715111,8790556f,8a4001cb,282b3312,581e1508,b8537f65,6142e2f1,ab8c4332)
+,S(444735b0,b1efc3a9,56957a07,22604d09,bb0f6c29,e7cc5201,89ddc3c1,804b1e1f,b1ad60a3,461abab3,a9732a85,7050e55a,3e9a439f,32a5b21f,9aebe400,7e59d6e4)
+,S(5805ac8,4acd7d5c,f85a40e7,4b9c98c3,e8882189,e77aa475,da3b4114,3ed9511c,c952923b,fbba533f,7bd70dcf,d8d69b7,1ad0022,aeae363,bb48134d,6a3c07c0)
+,S(8ac11518,30fdc785,5e1c53a1,2b690202,c12619bd,c46c8898,dcab77ef,279a9501,29fb7cc7,7867fa0e,1d015493,abfb2000,d5deb3b8,ddb3053a,d59d6bd4,a9ca4fa4)
+,S(aa47add3,e42998cb,68fc8a7c,cc7beff5,4d70226f,22f41ec6,7bd7b444,aab542d,cfa5ac81,ebefd98c,3af4f9e3,9f67459a,4f8e8c4f,c1959816,f771e75c,c43683e9)
+,S(f3504127,a27a14ee,92133f75,364922b7,d3984898,e433d3e4,19e88db9,e599889a,f1af9f7e,9f9868a8,84ecdae5,47bcb886,56c6d423,a066b313,c09cdf08,601b45df)
+,S(33730f44,edcbe688,35887076,69a989a6,272d3ce5,9261b98c,7c6eeeed,7e4bf08d,3f833928,d87716d0,4b2a32d8,1bd2d789,b6fd057e,cc70a794,8605cbe6,e1775a6b)
+,S(3169d6dc,8c06f584,880bdf07,29249cc0,a33d417f,be137478,6e5b4a14,3edfb0d6,2a91422d,ec563839,ba782f59,68f428c8,a311600c,2fde77fc,ea163e86,aa74ce5f)
+,S(d8c64582,13aae81,cf07a64d,5a8dc3eb,c8c43a45,d57f8e9,80cfccc6,f02a4429,c4873051,968863ae,8c92f195,c9fee3b2,c4773d47,849e2a7b,e7f48c4a,93822aea)
+,S(ae67101f,307e246f,7a7cb039,5631b884,7e59c8d8,14da3fe1,7891f69f,402b6f11,f5f2dbb4,a90b09e8,b96767af,a9f9a357,1d3900f9,7d8222ae,e411e1c7,11ed44cb)
+,S(a9e87231,83ba8338,1c0a7dc9,c81a2c5e,b4e2ff43,82574f0c,1a9d7f14,81dbd8ee,96810599,90d90e33,d69fb59b,ee68344f,333153ac,3d73a335,4b7ddd6f,96468901)
+,S(616bf21c,ae7d40b,2694f43a,a33e6848,694ef879,fb5bc48d,ad141e34,e43376f2,bec18f83,2aa8a0ba,83245115,3b5a4faa,4a27725a,a3d9e799,bf05dc94,9880fc77)
+,S(121e8335,601f33d4,78a882b1,1e9be5bb,39be47cf,701a695f,8d351098,af3f5c2d,2e992933,18faa04b,7d85fdfd,cbff81df,10dd070,4485b659,f682a298,4d03b3e8)
+,S(bf884797,3025ca9c,9413948,fef1bc48,3a83cc28,4a909933,25c8c97b,b89f1141,1953a326,3d26d1d7,86d5ae3a,7838d125,6de24760,6abbb63f,e2713f6,6ead5386)
+,S(7c28e9a6,5a3800f9,85c94d4b,ddc75cd0,dd1b06e0,faeda124,e86600a5,6af811f0,a3756db7,e339f03,8914cedb,707427b4,2d396fd6,f2e43863,13414863,8ab5c277)
+,S(e5ec6dad,45e62cf4,1ccb5bf6,bb92387b,46be0791,31bc2b9c,b8b93172,90a66077,d0045ecc,775703ca,f854bea4,be3c4d21,2bacd092,7a210eda,67c33aba,e44f0e19)
+,S(6fc96e1f,92039545,fb31c352,544a5974,7036263e,34d8e043,58336169,118c2fed,d032de87,1571de8d,96b0457f,84397e36,6ca7c20d,d90d089d,9aababad,8b8a9a51)
+,S(89e3d351,1c219c47,42e79091,47c13146,1db684dc,e1a1149a,cf49115a,746e4133,aabd970b,672e8468,d84b53d2,303d57eb,52fde5bb,bb224b03,6892f918,630c5c90)
+,S(2b7a60f0,b2136453,878eb44e,aadb8da8,c043e947,fea1de8,4ff8e18a,390d5890,c829b16,1ba032a0,59340709,1b38b365,b806686d,19026f41,ae8bbab7,d04a5244)
+,S(464b9f1a,c2c2aeb7,e6f7c3df,a8782f25,bfeb9879,9263a9d4,2f872050,6c9627e7,7c260bf4,59e1bcc2,df7761db,e503875e,9a23a107,6cb4e8aa,dac5b5b5,b6f7502c)
+,S(79253e30,43572295,e331519,e774b670,b25141a,986eb5ab,268b63a2,759b616f,da609d7a,55b62353,b20f5bae,969665ca,ed6467d8,f2577f69,10003586,e27f88e1)
+,S(634287c,e900c0cb,5c2b1967,f55190f9,19acb09,43596773,87642d16,dd399556,a2350909,8cf01601,30c042db,253334ac,223c473e,312bf758,1fcb461a,c3debead)
+,S(761121c3,8bd8fd5b,a3418557,f6a75b42,d7ef2f4b,91620223,3587f183,421bee98,4014715f,f9c17435,10e6eeb0,1bb29226,76070e34,afaed040,5c897bdb,52dd530f)
+,S(2618c8c1,bfbbdf1a,59da3078,4e50a2b0,77990fe1,c2f074b3,e63dd606,6d453413,ae539a37,20f5b6ab,18ce584b,4ea3cb46,4bdaf35b,326fdab0,58169ddd,32a48da0)
+,S(d429fccc,10c6f025,fc7a57e1,949308b4,d91699b5,c099820d,ab31f1db,90f685be,da2b15c1,ee155918,de414ae9,1be51688,a8df043d,6fb6c964,689bd4e,5a648edf)
+,S(6a18e3c7,c04b8cab,36e07625,ba2daef5,bf1e0cf6,36650b6d,56dda8d8,e4e8b705,66291330,f56c96db,ebf9c9da,bc52541d,20e75440,25fcc49e,d6215d8b,c0e94eec)
+,S(985b6846,d1c9f3fe,5482fa4a,d6a21c65,d7ca3eff,a41b3220,1a37a122,f8f97756,3e2b23dd,98e18f6b,76a2f2c3,2c543f8b,bb9dc6c0,8d391592,d56f5440,aaa3a92e)
+,S(948a0ddb,4ba838a4,63eee339,5c7bcca2,96fba8e3,9654ff33,55c9296c,9e6e8c64,c5b34c25,da19d83e,b67b69b5,2e527d61,c7b705ed,2f794d2e,12c4325c,3cf5c1d8)
+,S(4332d02c,1332b03f,b7a46b47,e82617b2,a437fcc,694868c4,256aa40f,a8a3de2e,e6e5196f,5f9c555d,a94327c0,39411780,393985ab,73765de1,e1bbe0dd,8aaa5289)
+,S(5dc977b9,2ac1c895,f3150b68,a8d69f5a,f7e12dc5,6b211d96,a67cc3fb,722a5aa3,45888ca7,4bf1ec9e,1cbd2912,3cc696d2,83260c34,3410217d,10fd0b95,9d07844d)
+,S(5b9cf534,ca94f124,a9b0cb6d,f0003924,605e3bd7,d063a2b0,c6e1a81e,3fd15764,44e98dc3,b0516ffe,bda48790,fa0b2d67,f9ba4b48,ce88bd1d,d81bcbc,897458)
+,S(84353007,3a63714c,7d26baf9,c895e2de,e2feb4b0,9746ca66,97fd7ff6,d5372f59,d7373a9e,37689d44,4cb7361c,f2f3452,3f9fea7c,826c62d2,3ca3f368,b0c7a175)
+,S(9cf0000e,3eef9b5c,89c8485f,c3826e78,8f1a28df,f8746619,804030fa,c21e6a61,2b3dab3a,d8684b2d,94e1fcb9,d2005c20,2764cd76,aa91e0a1,ac2612f7,fe91543c)
+,S(bb292fdc,5897188e,20888b25,b491a757,8ee02853,83aff5e9,99671a24,4ce1235c,d3b6d9c3,50ba7863,bcb83990,95893348,d5e9b8f7,27e1a3a0,9e02f59a,412507e5)
+,S(95d6d1d8,9835ed57,6a88a21a,9239b623,efd2bc6b,f27c5ced,2d770c90,fb7d680,c91535ad,39db65ce,fab4ac72,f3ce692,b39e7d38,c72ce468,e40bfe06,6cbaf048)
+,S(cbe3f20f,a164ec20,9c2c3fb9,ca0c95,15ea3787,df2c8fd8,9ee50a3a,85d09a46,cd589754,faea165b,48e22280,4186e6ed,734a2251,a6588e8b,8252eff9,afb9a28)
+,S(3e01dab9,9bab9e20,59b1c215,ba67835d,2942f4,487d6094,9f39e293,b39f604a,b41ddc32,33365044,ee350979,8679f3e8,d0a556f9,e8b6a267,bd5cb5e,8523d481)
+,S(298974c0,5543dc96,15f1cfd2,e4b6331d,c798918e,15e3f350,97213a64,76afef7a,68018355,55f2d8be,a74e02e8,747f60b2,22354ea3,62cb657d,e5cd8060,7a99da2f)
+,S(1d70674d,54763c96,ea3764b4,641d14f6,2aabdec8,a093c3df,d936793f,511fdc61,9674adac,697e44bc,6324378e,59753f42,80774101,623dc10e,8a4eb4be,38dfe632)
+,S(75220107,b43ab970,6261875e,c8f8b634,73c47aaf,91ab8fba,cc0b1c4f,40fece1,29094e7c,c3bf07d0,12aebf2b,fb56efb8,41bc9ad5,9c350b7b,885602e,a3aeaffb)
+,S(cfadb9ff,b3474ec3,27db31aa,b0bac83b,fc7f4c8c,9d0efdf9,2e7e7922,f779720,ffb7657f,6f7b8cc5,78f22ee0,2a99fa82,97d41806,cd2b8b06,ab00b993,d9a09b2)
+,S(24ee919d,be3c5603,adee46e1,39d84aa7,34a7b4f4,d7b826f4,64ce8b6b,c1cb828f,44039756,794b547b,9360b63c,539b8f11,ca651476,ed57fe29,364a5ea6,17ff1506)
+,S(5995e246,2f755256,f4d6b8f1,a5cbeec,c50ddb53,fe4391dd,1b530eff,7cb100f4,77ddda7c,7da05165,c46d7ba2,40127ff,fe78ac6b,13dd018c,e08161d6,d81dc64a)
+,S(a7233471,97dd478c,e129fa20,59193c08,364f8c37,1cf19c2,9dbd51c3,234d54dd,2c4e695e,ec2b2ccb,384a5fa0,1a96664,9cfdd711,1a1d19ad,92f2eef1,31796e68)
+,S(6466ab69,d5bc21cb,d7e75fcc,5de9fcc9,a57cfed6,3ad41c23,4ed56cd0,132251a5,76e7ef89,6dbb16e2,76622f5e,5f6894da,2e0c1ecf,c4af05d2,990dfa4,25294dc9)
+,S(a5eccf90,a29388ab,de6fca2a,bf216145,7fab8bb5,1e33d4f1,1e0acda0,f5c28e60,afd75916,468a11f3,73e88643,56690adf,110e74e2,c81123f7,94805b26,620e3ac3)
+,S(4251bac7,493678d9,f26e52a1,e3ed9e58,6a15d060,4d1c9cdf,89ed5871,ee9c2779,fa1df27d,92e6716d,76990c60,e6603bcc,4bb023c9,dff938d,3a15ad8b,72987aa5)
+,S(77a9e6a2,4c3cc21,d8cf6b97,3181e283,f40c9d0,26a81903,f042c2a4,fa7db30e,a1ef4fef,23f25ccd,bddb757f,aaa10ccf,e78d9310,72b2f180,b6e3de5d,18155aa0)
+,S(33fe7961,c40d4e1b,d6ade73c,4577fa2a,e9c0d20e,999f639d,e751ff7e,6fdbea6b,91b7d5cd,4eeb306c,e316e7c1,464c30cf,9a591994,7232b037,5840b8c,d5f54849)
+,S(43f66b2e,5ee52211,a48a9d8c,b485be2f,39535701,5249c311,5b682170,f9179564,5370b55f,fec0ebbf,c30cf7f,e63f5f88,3555e699,728e6892,1dbf7874,2da46a45)
+,S(4ad36614,97ef1074,d74c7f6b,446ea87b,ad2f0b43,73f5970e,1a745b6c,38b19bfc,8f5dc1aa,769a5bfd,5eada00d,436f850f,6f9eea82,329ebcfc,cd4cd60,ef5cfd39)
+,S(9799aaef,95204d54,f3734dc9,75b797aa,59336866,9b2f12f9,155d5953,c012754d,4b6b34a3,d31fe173,43a5b476,bc492d54,44c256ec,ea236f3a,9845a875,e83e6353)
+,S(c86249f0,c6e4635c,2d03f252,50e35d67,c1c22f51,6f9a8dca,fbc9d41,15d828a1,e21770b,37dc4d0d,f4d260b3,94bc76b2,46523893,469f1025,86d99467,ee95ec73)
+,S(b48dfcc5,de5687ef,c7282c84,cfd4060,61a08fe6,92fb08e,3accdc2e,6656038d,87e3e1f,ec737074,71f69c7b,c7147665,c0b52a95,37ad1566,277b6d19,fce8927c)
+,S(77dceb6c,62d65535,c625c828,fd3836a3,146fa4d,36732da8,58503fcd,4e357fca,d90b2600,5a139713,525b8521,3d370ed2,4304d08c,87fbb67e,9091d1ea,18228bd4)
+,S(5b588cbf,4cda0184,4df1cd63,3cc70ac8,69cfb43e,332f5c17,47364750,3175e49a,1424ef1d,f9e69e4a,84eb823b,2f95fce5,a52e1978,474697c0,d47890ca,fad55cda)
+,S(c087bbba,83934208,8c70251,8c9ddd93,2c50cea5,11c443b7,da107685,9320b20c,77f26a69,717555f3,b030e345,5cbe4b30,f637c23c,7ebc2b5f,6ec2207b,9209d996)
+,S(8d16057b,68f8082f,208b3e7c,fc2c558c,247d7d60,f117ea38,35e474c1,3031ed94,3d305db6,62ffd13d,100f6e0d,19c439e1,6ffb8ca7,eec6b14f,ed551091,d6ba3eca)
+,S(75fee0a6,3d32bc8,6dbb8cd2,af7371ff,d17daa96,5e1e19d9,242fdcc1,edc184b7,c2b1e4ff,abc30975,fe7c992f,f8091795,61ee89e,9a040409,10bfdc64,93efa2f8)
+,S(65da3959,b147093d,7d092599,a87710a,dda7fb75,460e47a1,10d5c1e2,6f368abb,3599e1f5,2f92c1e1,c3f2b463,d9a30230,a6f53028,cbae3ce9,5e345c5c,21862844)
+,S(6561fc10,94632125,d76b787c,a7539870,5dda1a5b,f4407f4d,f8140b6f,967933d3,4c06c7ce,a88e2828,3eae8aec,ab6e8802,cd083f37,6d3a1ad6,29fa9b55,920e6337)
+,S(c9a53f80,70493701,523041a6,a9d23343,c8a3fc30,6664d6a3,5ca5e7a4,80c4410e,9af470a9,b2e30d45,ebef0dd0,6e3b2736,369d4dad,f2366d42,18344a22,b6e4bf9)
+,S(5c1525f3,443e56dd,b009f45a,1b9a1540,c203f814,5f577bf0,3c734597,33b89158,967892f7,cb3ed91a,d74f4c80,3625707b,58574afa,cb99fc02,f5b3493b,eb4f4f18)
+,S(3565ccda,d87c171d,714add6d,472fee0e,69bb6ea9,75f61454,d69939cb,541648ed,9f7d87bf,ec2b6358,5dbd09bb,d008b197,4f02d3a7,6a8d54ed,d486a2d9,3462aef8)
+,S(4003ef34,c0f5e1a8,afcf29df,42a14a5c,4527d3dd,138b5eda,bd8de661,1d0e3614,67203152,44894cef,cc3d0a76,35839c2f,3d3ead0f,36174e2c,d3c4c682,4c3048c4)
+,S(f5c4df5b,37965079,3ebb7de3,9b495a26,13886422,929393,1cf55d1d,912ea57f,b0b93c3e,12a98cc4,5a3672c7,4a3610d3,aca34da5,7d31a968,f30047e0,31eb3482)
+,S(bc9f680,e21186cd,ba63533e,56580289,cbe8698e,69ced0b3,97a96793,569e213a,6adffb78,8105518d,50fb94ff,87d204dd,7bf54ef5,b91e1d72,713fa9,b32e06a3)
+,S(4dce8797,f1fe8811,453e15d3,7a3e2621,549e8347,4e7046b0,55f99d2a,c9a16516,ea5e6b77,cca7825a,95cfd9f3,7d70d7b2,fc8a8aa8,749a9d43,37ce0754,abe668ea)
+,S(f49b5aba,1ef29570,bd72a0c0,40009382,af2a4f85,26511eee,81869d3e,9759b16b,2e496c20,b996e8d2,696125d0,f60abc66,1d2fb343,b4181202,8658e459,d57c7f7d)
+,S(26917d4a,7573e1d2,7b4ff765,72bf2948,a2d02f07,7d7d7fa0,54a1bee4,92125ec,b8e47f7e,ae9b66a0,2a6fd2d5,cf8c88c9,7eb12530,a618678,ad5ce83,7cd8f97)
+,S(1b4948d6,285a2fe4,98cb71da,f213e6d8,7ead776e,cf8bbcb1,cd7faad4,fb29d290,1ab4081f,ef87d925,9b736c7a,92d28618,d5698499,b2f5e27b,dd30c1b4,24d3bfd8)
+,S(14d712ec,8179baf7,9dd9676f,ea99653c,f8b20ff4,a69636c7,7258bd57,99ae64ca,2e1db8a6,424650ec,32b0df37,d72ce3f0,6f38538,53bafad6,d366e04e,380c6ef0)
+,S(7675220,41747684,9e1967e1,54445913,a1111988,8b5bf813,4d9694f7,1d952453,3f1fb063,6457b603,3a155a90,6a722de4,de1a5c3d,6094dc27,37776843,ed82fd31)
+,S(5ac8e534,a8828b67,40016d02,80bb1e26,a53b16f,96b24937,fc84ba34,dd49fc63,193d020f,68f5fb7b,2c5a429,6909ce70,18568f87,115e987a,8e5e206e,b8a1fc73)
+,S(87cddeb2,8d16562a,531135b6,193449e,d618d0dd,6acf6c43,3372202d,ab4a14b8,5c1de4e6,7c958ad9,9411cecb,de2e9129,cd709425,135c84b,e5b68cba,9f846e2e)
+,S(c431ca25,a39ed09f,48e1dfe7,afa86630,4d4f8b7e,eb0d6d52,f8c778a0,424c84cb,450607d6,5b2dbe6d,35cf2d11,d3129330,489eded6,e35ff429,2aeae0a6,7100d825)
+,S(8c5021e8,985c1a11,4bfaf3d4,40edc4a3,aaa93002,5c2f2c1d,9bff3683,88a3dd5a,4cb960aa,8077d81c,71d74ba,6096fd4a,b6d31fae,d4315db1,3c2b60aa,a12fb108)
+,S(338e54bb,38a47485,8c17c07a,177dbbf,6e7a14b,26781bb7,70b9d717,6e513d4f,7876ae4e,84cacfa4,c22951de,f67763ba,c44a6ad5,52ee66fb,92f80cf8,c4420548)
+,S(87f3bca9,efbb3a21,917683ab,ccd268ad,3c7b0fe1,7eff461b,cb06ee8d,2f1f3c5a,a7a1d2a1,ecccfc54,4881f258,bf5fbbc8,e5cc11f1,a117c7f8,361a33ed,55229b61)
+,S(f4023df,8ed85856,8e56a037,5a6a78d8,de27d6dc,467c9aad,52407bbb,413a3e40,b2499142,fc4e3a11,6aa30e56,6d59f373,d5e2c545,3e274161,5cff9f6a,1fe178cc)
+,S(cfb51fc6,d55a8a22,89d3d282,fe63b2fb,453b512f,374e01a8,92708564,9c6f2d3a,8d4a3223,283811ed,28ec120e,761e61d3,e4ea5312,1cb2525e,b567fe9c,9070635d)
+,S(59a44a0b,97050147,bf219db,22249635,c45f77b1,1721c486,8937ce96,ae43c539,31e1ca6,6a910f3f,1de1d0cd,55eb8a76,400ff959,13774efd,158d931e,7039afa)
+,S(b99cee56,ec277a37,6ab44628,14bb3a8e,d8e26d73,19fd786f,8ab570e8,28a8ee7e,46e0f398,dda05d4d,7253b16a,b4d80c14,b6be5d31,d1dce230,62ab1135,c23494ad)
+,S(a39e136a,d96b1a22,6d039872,5da75b38,1c6b922b,52947cb0,25207ad0,d172bd2,7a5c0758,74de08e,3d10fa71,79639fa8,7dbfc977,8af1a3a2,d910a1b9,b6abb532)
+,S(6e8b4125,3b2eb74e,626dd59a,eb7512b7,2c23c855,35f479c4,5b48d974,57001976,cc0b88e1,e4e8c045,5e804068,acb85aa2,715bc82,ec21ab47,873999e8,cd2bc88e)
+,S(9942b6f5,681e4189,f7fb6ec9,8efd1343,cd1fb66f,1c98e418,9c44478a,51abb019,200d0ebb,b0cc2d52,90a11e6f,f7c989e2,d2fe986b,ed266430,56951679,8d0e7a9a)
+,S(7fdce1ec,3c57b949,44166918,b48af352,759636f7,2eafd744,642e0f7e,5078506d,d7785aef,c19a76e3,73b786ed,1e2d2ce7,53cfb979,65d3d46b,2e313a2a,d7baabd2)
+,S(6f13205c,958c83f0,f170906b,d77c79ab,5f51654d,88195b04,a70d4e06,93989c57,8ac9a15b,b386e483,b268d4f1,c950da35,33deb99,55116c99,e848f13f,73b55ee0)
+,S(f955a35d,833c69be,40a0665,f4dffbfb,cd405f4f,5b4247e6,e50cd4b6,3697654e,89f4fbce,22468389,a4af2407,f40eb37c,f56e80b2,7da1983e,4e2fa4f5,8bc9ee44)
+,S(dbcd152d,619646a3,42a25743,1df9798d,b58b8d1,89238132,e65fb6a8,26248007,66fa717e,c1948fd3,e4425e9e,2e6830f7,e57d23e3,d0219dce,c02b4d36,32d8ba13)
+,S(f1aebce8,e57b909f,ac7cfb1d,a2e7953f,99f713b2,8b35b5cc,71eea153,5e6e8ebe,8755fa14,3e77e5aa,60dc24d0,92e4f596,88b0bfd9,585fd57e,1b7f610b,e5d9d516)
+,S(a202164d,941f84bf,f89ceab6,50430905,c002bc5a,91d505f5,fef6e48a,4b55187,e0cd42b,2bc268b5,1e572e97,8b9bce4d,b6d4b095,ade884c1,bee3b3ef,c2f057ff)
+,S(572e1657,46fde7de,9480eccb,287f8b9a,b1344da5,8026861,e784047d,ca8ad68a,c174ade7,c066abb4,8d2461eb,405dad76,39eda86b,a0fd170,47569617,31eb5d9f)
+,S(f4e2c907,fee4d753,c08b1052,b76e49e8,b67047ca,59e64dac,58acce9a,5beba31d,b243aa2d,3a92d2d8,e48b8317,ca8fe897,2b76d134,248070f8,f41bf871,2c11c42c)
+,S(a6fc6aec,84455716,f5e9e436,d68809b2,26698781,f24d0463,e06963a5,fdf06dd5,dc16a615,548efd18,6ae135fd,f748d9f0,a96b7f4e,918513d5,73900aa,1818ca8d)
+,S(bd806817,5fde9652,9ccd8eec,937f2cbc,c4ffb3ce,b04cc9bc,c00cde2d,5a05f026,b2791ae7,8e014328,e0fe6a0d,8b6bddc6,db048274,5152bf76,bce228b3,64a26216)
+,S(f888a667,6f8c3d20,b9d5e810,ecae6b8f,2d8614b2,3a5da51e,16386dd3,5c0165ef,fb4ee20f,e429f3ef,f6f4bfe3,9c7b1ebb,57978853,de242239,42a3dadc,909a0dea)
+,S(7c8d1e05,5adbaa71,ec9023a4,8d160fcd,c3182ee6,bda76fd2,3ba8877c,409ae200,8a3b820b,ec595523,d96936f4,fce83779,c489b9a4,f2c8c524,f16e1764,2f907ceb)
+,S(18886ea4,ee257120,610ccd71,593baf72,6dfd9bb7,5229959e,75c14e76,26fabf43,266c6695,f57068b0,d33ad3f,7d02b7a,898a3184,39889d31,ffa98d86,e091531d)
+,S(fea70f1e,38c8adbd,3339a44e,cac036b9,1242a099,506789a3,184fdcfa,6be52cba,9dff6df5,ba8c1b9,ddc58093,a36670b6,76c0e2f,d745c468,83e26ece,3b9e7915)
+,S(4de30389,45aa3c90,76d99142,e79451b8,96dcbf7b,fe420c8f,b1dc4b4a,37d1365a,cee74e9e,9093de64,2401eb2e,201b3377,992ac0a2,13b0b16d,35664ed8,d287cba4)
+,S(67d09dd1,eafebe79,c63b8c40,1c102982,8c2d8e6b,6b5bfda3,73988830,1a104fb2,10eb5508,92660d96,8e99049e,818f89bc,d4f03558,d9f2c984,61ffaa5b,bd360a5f)
+,S(2b5d70fe,186834f8,d3b96d4d,87031cd5,325e55f4,ffa31b5a,f5ffdd77,40e6010f,646e7e53,24d2a373,78b1f54a,fb2081b4,38439890,c9f53b1f,7bda4d47,a895ed02)
+,S(cb426299,8700a76c,193f7b44,6aed0ad0,5d600b23,ca24c752,527f62df,e17be248,92843e13,f3eb60c9,e5f74eb,8cce7723,bcfd0250,4c2186e6,5ace939e,5819a8b6)
+,S(3ee6ab7e,75b3bc57,135ce4d0,1e6de88b,22d0b853,fd8e0d25,f9b04ded,418e4e41,69c83f98,4e52519b,931b6afc,933f5200,6ee1ab4f,680ee768,9ad55368,1b4bcc87)
+,S(583774b0,a95a5143,17232df6,f17d7829,6918acc7,2a385724,e904085f,c887e7be,33bb1e66,ee8cf17,30c16073,665c353,f8f047fe,150b4424,18c736aa,807c3e7b)
+,S(af32e1ef,39822787,79082b77,2a643ea3,eb334100,9a7a3fcb,a8838e0,7079dc1a,6985e28d,c660123e,73aee7e8,b1a36697,16938331,e4b4b7f8,b3a9ecb7,4e95fd4c)
+,S(6edf7fdd,32667551,9b60c740,efbfc3f5,50f7249c,deabbf9c,948adc16,e034d0c4,f08c5f18,5def7da7,5fb0de81,9b092691,64534f14,bb7d96d4,bb4513d,ef46026)
+,S(3b9a6645,5d268f94,6c504120,a81821e0,86257a60,b3fd9f00,72a0a4f0,1f16b42,ed583a15,aedf6c08,95f60109,6190106,3dfa4848,645b0117,e2e1bddd,2cfe7c7b)
+,S(bd035b08,2b5cfdb0,d17cbdf0,7a012b0f,27b52943,82e8bae2,d683ad0a,747a1039,6494cbad,ed4ad7e8,aa135ccd,572be8ac,e94a23c3,8b62bf61,ac90f9a3,9bb2ef54)
+,S(e25fbf19,fe9b180b,ae3316ef,89e0382,4dda59b1,41022ff7,a8c45b44,f15338c3,45ec47f6,58a3dd52,34241258,1852e694,7c2c8f11,9f4fbbe6,f6388363,174c7cf2)
+,S(2e231dcd,8ffd7356,52ebea7,50165405,f30f595c,3871ee6c,7c072e64,ecffc9b8,c664452,db15961a,8458f3d3,ea24ade2,7610d4cb,ee51927d,29cf3164,6f59317a)
+,S(7c0f29c9,3932626f,1b1ae126,316e065,fd2a4174,a66a6048,3b458660,f5338fc8,27ef533d,df6f1272,c0255d7a,587f56a9,b76e2c4f,98c98162,350233ba,75cd037f)
+,S(e702d61c,ea6f9fef,fb43e014,4794fb32,7bd857e1,70b299ba,31bb6a20,7cd5bb48,c4779881,c924ee3e,7f228a71,2de07794,ee5e28af,ca63af21,12ec0eb3,1a3f79c9)
+,S(f1780044,eadec1b5,bee75c11,7c1647ed,c362c5a4,35a66d8,cc2ae45f,66c852a8,5f8de9f0,f31b3977,f08f63ac,1380310d,e8b7a304,85c9f0f8,9a677572,329e1c18)
+,S(7a41b37f,22ec5b18,d4952c53,326665a5,1582ccb7,1660b69f,8d00701f,1f12dd9e,8440be13,2c57259c,80cd74d,2a2f1e01,3448865e,2429c2b9,db750951,607fc443)
+,S(94fff7d,8111d69e,198f4e16,57c3551a,a5ce6316,d520a779,ca4ccd0b,282db6d3,482c9270,26c0c05,578a75d3,8b1d8ed7,42541d30,3a933b90,9c3249bc,505c6fc0)
+,S(d6a6d44e,8a3ffaa9,56cac76b,1b05a4a9,d3775989,2f70e560,a54c9440,17f4e9d1,48c3bb22,cd839de9,9163bbe7,83a8a057,c7b93e87,de388b6c,dc57ba57,90863e1a)
+,S(cc0e25c0,8e24edab,1e5dbc47,71543b92,c47c0993,95b93d53,699204f9,50cdf80c,20c52cb3,7170cf3b,43b76ab2,cb4a6d3b,1a977c55,2431b8c8,220282bd,51fb70b)
+,S(cf953f68,4cb7d1af,a125d0ea,cfb83cb5,efddb6a4,41079be3,db72573b,62f8d827,70cfe366,a45d11b1,a847a7b,8e3e50a3,b302fa50,1afc89ac,b89eddb,30909c0c)
+,S(1ac22694,2b34ab06,ff16b711,2fd5fe1e,f8ce6975,143ab19f,bff99d6b,6815d5dc,a43d457e,2bd0975,4e9b7fdd,d9e16681,1bd823d2,24476615,4d9e3fa5,ab6539fc)
+,S(d02bbbff,1153804a,f0f800bc,f959406c,496349fd,a412e9e9,bb9f7232,7a4d65c2,5de80de,3c7832f7,1d744f9b,9ef08b56,d41e682,1c20f2f2,876fffc1,b802a384)
+,S(3ccad347,8d464ee3,42e1cc2b,2c4b299e,d8a60326,4837a040,25a8525b,4f1831a7,35ea2a4c,a59b55b6,ac79fdd,6ceb3401,47492f3e,49b5035a,f3036b26,d02691c0)
+,S(eac4d554,3e69c3ce,d762e90,fff84b3d,b3a758b3,419d06b,80f7ba43,36033688,aa64fada,c54374bb,fe8449aa,ddaa1846,ee00fb6d,c9435dbf,17f6a12f,d1deacbe)
+,S(3d2879b1,73d93713,3326d0c6,133be281,5df62465,d3dbb7a9,a028e0cc,63fca753,576ce64d,9b95b5e8,a9e3eecb,34cdb8d1,fd38a08c,2a6a8c9d,8f0a7296,68d6e0f0)
+,S(3f58ab8d,56a9682e,25137087,ca8c766a,72358a56,99ebbce4,cf74e304,6976ca14,3c9053d1,1a2a8a8,1f30f45f,1b480dad,f6bce20a,15e6315,447405a7,b321f29d)
+,S(4f5f1289,b48dcd19,41a9df0f,a8aeae42,2a4ed913,58845b97,3145ddb1,13fd12d7,b5c3e32c,c40c6577,3e286ed,a233ddf,42ac0d6a,5a3c3e86,77f8256,e0dc1428)
+,S(a64a29e2,a52dc6fa,e74e70dd,da2bacd7,e4a9dcdf,f9a0bbc5,ad0392dc,93376a76,ade2f8a6,faa9b1b7,7baefe87,33ddc365,c776f2cc,b0e5730b,4ebb0166,418a9590)
+,S(dee0aa12,c4d6f88a,d1d86f94,e1c6d3e0,b8694b5d,e234af04,994cc7db,c8480e70,cbd9acd4,cbda37cf,a9d368df,332d30d6,413ae1c8,d34219,3d4651f8,62f93389)
+,S(8677a99d,c8af6ae1,b653e294,80eb66fd,772b958c,882fdf74,f9c0f188,d5796936,31c668c8,348c048e,4b7a24f3,a0861f44,6621151d,4dc3e9ed,783eaf81,ff97232e)
+,S(51117d3a,cb73a7cc,2b229bc7,9bd6d676,f44aedc1,98cedd80,ed6178c1,f6997fee,5c638c04,123f85c1,170651d3,96343e,78f20770,321c1a4d,174e568c,39110cd6)
+,S(48d8af64,69670828,e87585d4,52ea1242,a83c9f8,3423e468,9c3ca383,9f141b12,558a8f42,f07f49a7,c6a9843b,9055ed05,1998dd35,9406c40f,dc4d64e3,5265e9de)
+,S(62ba9ac1,b0fdeee5,a143d457,41c164e9,d4060c7d,f5bbb17a,ecbe80f5,f6966d2c,65a0653f,2290416c,5fc96494,b70b3b99,9329fe67,3b034aed,b586c118,a5d9450e)
+,S(be4df7cb,679da56b,50ef2058,3c79310,508d8d05,43f3004a,486297d2,49febf0d,c1b56550,dd5f3e7f,a898cb8b,aca88694,ca697306,fa3fa09,95f6c43c,d5f3ba9b)
+,S(e49c036c,cca2e068,5acdf34,8473316,424eac2c,ce1550c3,a0c435b0,28c9979d,456bc25f,457fde5,5bd0d273,d27afd7d,21186b1e,3b42bbca,b168992e,61609a1b)
+,S(ae6845ed,a81d5d90,b3fddfc9,cb774c2a,976e701a,ad5c1302,7057a6f8,97fd58e3,529bdc55,322ae360,9926194e,7539a534,4501126c,e69b3e11,e5b4a675,7ed755bc)
+,S(52a1d8f8,bcc2b772,cc8717e0,2d713864,4c274499,4a19ed18,3fbeae31,bea25e1b,da2a0b2c,e7f17894,848e77f9,53b7528b,dbb80673,c70341dc,9f869e60,4189011b)
+,S(ffbbaf01,d89a7804,d5d19f50,dd5a4abd,cc5529c,90d26918,425f3805,96a2250a,88b5f7b7,eba662bd,5aa47a6,c2fe1322,2d514410,f6b1a145,38c37ed9,9a9880e2)
+,S(6ffa438,aab51ab7,afb840ee,d4f85725,4473fbc8,ff6051f9,fe5a59e0,ff8c942e,5b0226dd,3b88a040,33860dc6,69613bcb,50a0e95a,2ac7df8e,66884c7e,e602d775)
+,S(9c895658,f92ac47e,318f5ee5,91d26a10,c2c1b77a,c8bc8cb5,a45ec943,8a2fc79,708071e2,665ebd58,f1655e28,6de258ec,ef4b0115,ff74f38e,516acfa9,c01045f9)
+,S(532e6e0d,efba35b1,3fdbffd1,8ebece3c,a59bb3ce,54fbbb5,df1df6f0,c1861ba9,1af465da,d326bbc3,eb732ed2,464b4593,36f04b0f,a50ba7ff,f61b4754,aebc5b8a)
+,S(99043321,e3f27092,cdadd8e,b50cb4a3,8a8a9f80,83da6ea1,38d48e00,e5fff425,11be8597,325c250f,d9e5b1be,8e52c336,404ecb24,df29b786,ef9d1f04,8f77ea6f)
+,S(96799080,3a0934a9,9a0a6e94,120c22bd,7d79085c,c331e172,87daf46e,7c4084f9,ea90012d,18450bfe,6a520b5c,9b2812ee,574903aa,d75cad04,7dc46c23,98005e03)
+,S(74f5d157,915ffe10,cf6d9981,9eff7616,1f36f71b,4fc386ab,729dac37,3aa0afb9,54a0011e,4922bc74,12ae225c,dcc8c447,4e4ce4a4,941a409a,2c49d421,19b29eb5)
+,S(12692753,81c63955,5700ddeb,e8d7a751,76e5f3d7,2aa0631e,3e7cd6a8,c1927855,b92e5076,811002d5,44c554fa,1e1d10b5,3eefeffd,513357b7,2c5e0cc1,c39ae553)
+,S(84ef81b,1d143d73,5b6ae35,af18d810,d7cdcfbc,dd1c68e1,1aae007b,80230d9f,cae39a2b,a5b4ce8c,21ebcf2c,638a2e5a,b0dda645,aa6e01bb,33ca2edc,b575d42a)
+,S(1c22ada3,326e6ac7,6647af5e,ed62a85,c8d89dd2,a733ea62,dd71512d,ec9037ad,f5a598c6,1562a6af,99e46283,cb9e6fd4,bc4142dc,99600b64,49304981,16aab458)
+,S(6b91ca4f,f08eabd5,aa8dd35f,e9e04153,c00f1f48,50bbff4e,73671cc1,fa4aff1b,c6cdaada,85adf99d,4fb68c8b,6104f585,b3c9551a,7dd87977,8cb250fe,11b31852)
+,S(57bb4999,6d2e2157,613f0321,983736e4,b99063b5,e8f7188e,23f7895c,edf85bc2,93b46dc6,72eea90e,9274b9b2,73a82da,d0a1ad14,55b550e,94fdb765,ab47cc3a)
+,S(75790b27,ebf7566e,1056d9f2,463df8f0,67c38a2,78af81cc,b40f5260,4a33ba6e,ca0c8ca3,d99b0a5d,b065decf,346eadd4,3af8dc71,9ae06dac,6be99c5c,b89d2045)
+,S(ca7a75ad,a90b590b,f7f2b6fd,e3004a1e,8dd7b4f4,db8c4a08,f32bcbb5,474ebe9,b3278d9c,5c9351e7,bf4e8a08,e0f1dc00,51273259,acdcba1e,fd3ded69,83fc69e3)
+,S(a6dc68b9,3bf46294,392a8d6c,e52bb365,47b65a5a,f318765c,7a4f5d5,2f90b2d1,41ba6d67,fc575561,a0f3c76a,931dc62,37f53348,819224de,8f925c33,c90ad45b)
+,S(da2139f3,f8afc90a,c7f5a025,20c36110,2fafed4c,3f525b56,fe0dae1f,6bb6bba5,95adcb88,fa9ed816,dc097522,de5a394e,71e92c1d,f5bac36,9ad06067,1b6349db)
+,S(a32b2475,2f0e0063,acb4194b,faba9ccb,2159357b,23f102cd,f5a8e24f,413da4de,57df4143,bd8b27fc,c7716ffd,8c35036f,e09f8ab8,34f053db,ddfd3161,ebe576cc)
+,S(aaea491d,33824ff3,c7319d8b,a233c73a,741718f2,2c921392,b893894c,ade9bedc,c8fb291,84d8dc65,93a6a3a1,a5aed86d,a7ad0d32,d5f8ef4e,b24b6154,4c1a63a7)
+,S(2935e0e2,7a8409bd,224f3eb3,d68fb639,ccf75d5c,2b0315e7,ed388acd,887f2c75,c4ff024,62c9ae40,983d0068,180d4c3,977e900d,fdfc164,c89a938,c568aad4)
+,S(7fca8076,9e2e7253,5834259a,abeafecb,fdebbd96,5066181,63d244ce,770fe577,a3ddc3ab,f04ded22,cac3b8f6,ffd14ffb,69cfecba,7dbaeed9,9a5e13cd,55bc3542)
+,S(c5b5f1c6,1caa4a7,fa5e665f,57b45134,bc129ec7,131642a9,6a7b4191,5e8b483e,26cb3816,da5098cd,a3f58fd0,c26011e9,73dabb66,d8cc9257,6d37bfbb,9cb538e4)
+,S(410da274,df436772,64decf4b,f790035b,d7d5b174,cffdb4f4,56bfb6a0,79a50d88,71c81968,188eb349,6dc2ef1e,841979fa,254a1939,5bbf00f8,8e1d2bbe,ef9a6abf)
+,S(3d9928ca,334dc800,abb6c5a2,43a2681b,6f7976ac,50abf387,54058d05,cf67769a,cfcc01dc,766127b5,3e183cdd,80a0a1e4,62bf01ab,c4df115b,2e4f4e9f,95d2beb7)
+,S(65a8f57b,c523e4a6,4777ce31,2000a322,d858eae1,f39fc919,2e4f436c,c8040cec,820698b9,9e953745,b1ff7b0e,a22bff63,c9df69fc,c2055b32,3f07fdc0,61192432)
+,S(84e553cc,baa606c2,ffd3ef5c,a62725a4,55f4e539,24a72153,1ac3e66a,5d92fb79,34d6af32,4aaa9465,fd9f7731,1c01221d,4c0b5f75,1902dd67,4dcfd0f3,9cc5f8d2)
+,S(3b4a7558,28851226,f391578d,5d146da8,dda3d4b4,f79a36ac,5f8c166a,773783,e37c96fc,4de83cc2,eb4b3cc1,44d4d35a,1a4249bc,4cd7c787,7d0084c1,b1a59e53)
+,S(6dbbd12c,6164e8d,ea489819,37fcd12e,74339578,6482ddb8,9226d9ef,50cee6b0,89e48f49,b3f5d154,52e47c17,e1a68ace,eed3bc6,8002a70,33316116,ade02b90)
+,S(b64180db,3b926481,74a0b743,1f84af72,f1118e9d,6cc1fe02,f0bfb72a,97c441f6,b394f997,83d00816,267a4f0f,8c95a05c,33cc19db,eac704d9,9e1f0c2c,4fb25fd2)
+,S(2173f38c,f47377c6,d977fc08,ebb67f29,37e96fbe,e46b2115,b260f03a,216b5c56,bda02a78,3c4a684,fd88c6df,6becf56,3bd1c61a,4e79d36f,27e22fb3,212e2abf)
+,S(9dd9ecd3,f3732f0d,864df0b4,8cf35e06,ea2b89a6,a8a2756a,222e266d,fc5c5214,e42ea720,2ba68242,ed9256a,57db94ad,dcf00b1a,50ded06f,a70d712e,17e921fe)
+,S(705f9fed,5cebb62e,dd549526,af729092,9d398232,604d136b,2a121cf,e7af71a9,bb2cb17d,aa4472eb,12e69a4a,57a7863c,2b32c100,a1601d2c,44d2cc29,750d30a8)
+,S(f1a908d1,807169bd,7fb7fcd8,cfc125e3,3fbcdaa2,8d8df1a2,17b84c2b,2cef4410,e86cc08,804c6c56,f81cfa75,9851e67a,d792bbe4,87812cc1,4e7aa468,b8911512)
+,S(db0c5d79,35693c81,c752a475,6852260c,5625e434,5247cd5f,d40cdc24,e1355f57,120c5ea9,fb00d295,37721f1e,2539ebe5,d0de9bd5,354ce629,fe8c2e8d,c683daea)
+,S(5e4d5935,56007e92,1b158f68,3411da86,e979d470,7b53caf5,9a2ed94b,ca423ec6,71588b00,1a0e9ed3,27862fb3,7ce6aefd,c309b5a0,928766dc,b947773e,6272d935)
+,S(1a79ee08,3c46e5f8,8e97fd11,22410164,a264d106,7ecfabcd,4872af40,4fec7f28,f928dbfc,49bf7553,356289f,18a5c8fe,54f94bd4,d9406aac,c4df7a32,32349111)
+,S(e693f88b,e3be0c46,cb40a2d7,f3a0a435,1c3a1812,4abdf46e,86ca3af3,6cac5468,55f0b7bd,24ab2a2b,aef2db89,d8aec5af,fb4f354d,66538efb,78f094a6,dd649cc4)
+,S(6d15e8b1,f3c73c76,f73b12d4,f5e96e28,43bb6157,5d0d7e58,1bcc551a,329ca25e,f21f3ee1,84386427,32a0d05e,419f8a59,173f8cbe,6e3b765d,b74c3588,2d7f069d)
+,S(48b8f127,b2614af4,95303f2c,f6593d16,20dd98e4,ff536dc4,8a5aaade,3bddb682,8ed1b9ba,ec137c62,5127e23b,55d786d6,a50d191d,6803ae99,c7ce57ec,2f546e3f)
+,S(2ec32631,ee1e4510,94719f29,1a32e0a0,8c29fca4,8ff7e3d4,170a7c0f,5aeb3028,eb861d9f,e21b536e,58d0ee35,9d07d09a,491572f8,13eaac91,6105785c,697aa945)
+,S(f7960ecb,3b35d4d4,5ed2c13f,b55cc944,7ab72f66,ea1857b6,776b8ca0,afafce3a,90245cf8,d40f6b40,a7140334,da02eea7,d8f7cf7f,8f87c510,cd6d9ae7,8410f08a)
+,S(a94ccc3e,4b22f7e6,ef385780,d58f3aa1,139b29b8,c7dcb5af,7a247125,ba613ef2,ef7050fa,dd6afa0d,a89ba357,cbc6a66e,782471cb,8cfa4c45,e94d445d,a2845409)
+,S(e48a7ff8,6d80f430,d3d6f57,6c56f026,8c42b3ed,17086399,56d62f54,f5485c38,b1695229,b4997b0b,229e3c65,c7ffb42b,e429b702,47b98231,a7bd9c5a,5e9a6255)
+,S(df99488c,7d46c83a,cda5b422,b2a633d6,cccb09bb,f6488d9e,ac79e9bb,7f22d2ae,89490280,a958f45c,4501a878,5bd3c72b,aaf83a45,d91a38c3,e0477562,f345fd4b)
+,S(a150c6c0,4db9f9f4,6f64368e,bba348ef,2bb4e43e,29b27770,553ef41a,ef22fd84,61dfaa74,e1525a0e,c3922ab0,20e3ed1c,e7b5397e,b4485cca,e1f64f29,19c5c201)
+,S(9b7dedfa,452ec6f9,1d7aa167,bc984a28,937392ff,d856a4e1,204aa541,f3aa0edd,a37f4912,2f5168de,bca0ef6e,7c9b31ab,b4262c09,ccadbe79,10a4a844,ffd2c74a)
+,S(c7d77a51,6d0cea71,b20f75c5,579a5906,ad1aa83c,f9209a23,d38ed358,28e51904,399a7c7d,9e1a3660,37b0a7a1,49b0dae9,8e5a288,cb5ece7f,56de4d8d,74a44bd6)
+,S(d313a829,8e4de5b9,a166c2b0,f73d9812,fc1d1dec,b3b86e8d,8062794b,42fe73fd,6524463a,7eb26e2f,34f062c5,dbbdb4db,b8514c9c,60af6a16,fc9a8830,1f708fe4)
+,S(4bbf363b,4d66c693,6469b8e,83c4f18e,2e6c2a3c,498f38b9,787607fe,97211e5f,9e42ca4b,243872c5,8c7b6406,11817743,82bb0d59,c0de2562,9f26e8c0,7d1c60c3)
+,S(3be10ed,23a0ce86,d4a7ef1d,a667cf19,d471bd37,7467403e,3f84535f,861e9cf2,bb959378,cb317c0,6534748a,49bb9fa8,edfd2090,cb95cead,a7b0433,4066d885)
+,S(fcd1f880,d723963c,829074ec,8d29eec4,946da198,cba5d96,b169cdb3,5dca2076,9489bce3,a31362e1,c4cec275,5fa5fc86,d3b105ae,25bed346,7c0919d3,b2a87b01)
+,S(b5fb358,993d3662,b2e7114c,d8ea0681,f39f42a8,52cd217c,f0ec0271,fab317c4,89d88eb8,ee622cbc,f0dbfa82,8b04ac27,80a653c5,14df734a,791b3bbb,f3a71b43)
+,S(a86bbad1,7fca460a,4740f39b,d2ccab3f,30fc137f,604e77c9,55624815,8fe274e7,c26dc259,ba969ac7,8d294742,e4962c07,1394ede1,263f5a0b,d03b7a29,30753fb)
+,S(ed321f6,348cbc96,7e34bc7b,a935d129,9dd3fc94,c27d1467,88792180,1330d29a,b4078360,832b5de1,c77b44d6,cf07bdc8,fc5ac402,15002135,1be0d251,a3f7c3b5)
+,S(c8179275,e4ddb936,f55e827e,de094c4a,2c425b8f,701fc979,96ed7194,1ad17dea,d99f1c5b,e241d165,eb49b0b9,266486af,8ce5e963,c52b2622,e16fe99d,d82553a7)
+,S(6f08f13f,23b9b383,49274328,3f8dfcfd,eeaf82e,1d91e512,df1d0d7d,de84985b,96b6a829,f99f433a,6ee58ed0,50370ac5,665d61e,22cc7a76,a4a3fe08,d8bd602e)
+,S(9443a7e3,410f9d4f,ef9f8b60,9eac3e5f,e6ab5d6c,a11855e4,b35c7e67,9f8f9d5a,d8c507b5,78188c3f,31bc93e6,d07abc22,ac9b2add,5a11db53,8fa0f936,3beded57)
+,S(432ea8ca,3ed53681,ad3afcfa,570056ed,d38c8848,de293d2,e37703f5,133c502b,9e19228b,70b52bb0,8e66a49,826c6a61,965dddc,64270118,faa3389b,6bedff71)
+,S(1d17589a,42f82fd8,c5a584a3,d3c7fed8,5e22ffea,e2b732c1,30f903fe,1982403b,9f7bcfb4,8f18d208,26564ed0,245f0c6b,511e965f,be5e0e94,54e0f552,78c39ceb)
+,S(743399b5,cd84846f,65e778ea,790412ce,1ab8c6ff,ff7c098b,55436a1f,e18e6b2d,dc6cc81a,82801be4,e6566d3f,c01b6fd1,e84ff49c,e5ccf145,fb1f49b2,d8b784bc)
+,S(e4378558,3b2848c1,62e3e80e,3b5f9242,5330d232,e05f871f,a279a0da,7910b2a7,c39b4171,aa4978e4,7d3f99f,8179a189,d5e2421b,d076d1f0,80cdacf0,55624b68)
+,S(eef768a3,1b1639a8,f1755ac7,d00a6463,8f8a99ce,f5f42a10,664026b3,6718d63e,2a9005f4,cbf4e686,1af0043a,fe97b065,878efcb8,8be29ef5,ee648473,1e24a991)
+,S(15db4687,2504612c,f40dce1b,d601d848,fc2afa9f,b2de929a,1800caa1,bfc91fe9,a8b6e64e,7d508d9a,504678a9,d90b82ca,1e72360b,95a2f515,f17710cc,4e7eded8)
+,S(ad45facf,2529a84b,9d28d2a0,456a1fd9,d2b3303e,fc78e2a0,c7757bad,d4a4191,1a78e571,473f3035,16ef5867,8f77d5ad,bf8d8109,60f9925a,a6b4a88d,3654f069)
+,S(41a03744,6e027b4c,eb775050,a892bac2,1c19b66d,5fa4bd89,58c949b5,b9151824,ed7c44dd,fa96d38f,a721cb2e,60e07a84,27c53acd,6435ce74,bb45437d,95140317)
+,S(2020b869,58f4c7ff,2cf64589,f1043d,5a70d5d6,dac0740,56011f1d,27217ae0,111959e2,2757f431,a1994617,124eb1c6,b37f5961,29d52aa0,490b94f7,e1c4e9e0)
+,S(2f99a946,859f74a9,50f3bf27,d85a169e,99c5f755,71000180,283383a9,eabd4ba1,3e622182,d3caeaa2,47a4ed24,6e608592,36ecba9d,4e8d79fa,12854f74,df89fc53)
+,S(ddcf3989,57f65390,167688c,2e227f29,e7c5675,d4a83a3c,177ebdd1,9e369baa,a700c63f,3fa6833a,239a3cee,a90dd021,c3c3428c,f2b11b87,3da1dc01,2f4b2431)
+,S(9863a7b8,4252360,19e2fa9e,9319c5b,92df1eaa,c0b7917b,73bd1042,191ace4f,49a499a9,281dab21,4bf09f8c,724a30ea,3a1fa7ae,4f1b2b6a,3bf63562,e03b69e6)
+,S(6c5465f9,ea2c5917,34f3734a,64b8e92e,19cb4def,3c6d5d2e,467a8f58,dd733886,57e22bb,179df35d,15aa2616,a319ab3f,768f655f,a1c07c8d,3dafc443,1e0e733c)
+,S(ab375513,360b3beb,d0ca387,fb0a0690,25acb654,fe703a53,d979f14,50f3fcdd,3e9c1149,309a2de5,9b7842f4,3c37a6ed,57f0f776,503ee7c5,46445c2f,6c41be4a)
+,S(6acbe3ea,4a72eeb0,b23aee37,905b22d0,ff0878a9,e9143111,4821207a,4c2603d2,1ecefcbe,9f934d96,a163dad7,6c9e6806,ac2ca23c,e495a533,aecb19d,df0d32b9)
+,S(7955d144,58fd0c42,5e4ac9f9,c766e253,b4ddd105,7f1c8c3,653f95cf,3a955d89,8fa9c5f7,304387f0,94a89225,53a20287,40c6723b,d25245,84735024,9650aaca)
+,S(b5972d0c,90433f,702b25a2,27bd3da2,d488ebbf,e5782132,28c20cd8,35ace377,235470bf,7fbc3de5,279ef70e,d174b2fc,e3e78f84,5c0bf212,cf3d64cb,42b008fa)
+,S(a266a810,33a5fa68,a204f3bc,53cc79f2,cc500d7e,4495f8e4,d9cb48bd,4bcf886,31a8b1a1,958d15b7,664390e6,a46f3e37,d52b7824,5b0b91ec,b568b7bd,f55949f8)
+,S(1c6412ec,21191b63,5bbbf47e,1e9f7c21,ae7f4f3f,7de0f123,451e421d,44b9cc15,833f8a2c,1111c4f3,f5973851,d0256309,6e7fec1b,22ff969d,82a62284,c42c685a)
+,S(ee3532ab,17575b57,9c19ccbe,fee04ff3,8172677c,5e625f68,a7462107,3e0b7fda,f12e10c8,b2fd987b,83dff04d,cc48ee6b,4b704b4,92b2cf53,a9af4510,6e7e8718)
+,S(5ed10fbe,4867937,2ed2765a,f7f5b4bd,52ef9a4b,96515e,37944d9f,ee1a3838,8c4eb9b4,9fbe3924,ed8ac641,25dce66,a4bffd7b,5fbc68af,2a8c8633,b4080573)
+,S(fe348a21,f04c85ed,69fe7345,f73420e1,b8f6b859,7082152a,15a1d535,d01378d2,d595d446,c9f5abf4,5ceabd10,3e38e423,5069473d,7d9f9911,7fa9cfd2,81f2b7b)
+,S(7140369,b7b64ba0,861e1c0,b5ba3973,b573679c,c091623d,bda88745,fb2436e9,f0770350,f9799607,28c3bc21,30c6672e,40dfa362,72c50ad,1f376a54,83a12b2d)
+,S(6d14c4e4,8e981e3a,e7ec6b88,b1230096,a7465db,a8381bd4,aa82157,99dad15d,25e4d2aa,a5f2d12a,a4e635f6,db58b2d5,f9c6de8f,b5bea99a,50e5b050,e7e0f841)
+,S(7931b9c6,a6837d7e,3620558e,55504e88,4dffe071,5bb628d,aeadb0af,1a4383da,586caa73,320925c6,ddd12128,bf3bd38d,96b7a904,8422c2ff,9d5cfede,fbe80c0b)
+,S(149e9d6a,35b83d43,5d0e1f32,a1518b88,88dca145,27aabd95,b0ecd0bd,e5cec834,45807aa0,fd84cc65,e91d49b3,8d012fb4,f87b11cc,1906e1f,cbc74c5a,ce5606f5)
+,S(656b276e,b4b351a8,222f2b59,d7949010,1bf6e696,c284bff7,b809bd27,d297394,8746f309,5f8643a2,928ebfa9,a0e35893,905eb6d3,faa8e5d9,b6473281,7b763291)
+,S(60f399e3,68086989,ee62370f,f7852e1f,3656a720,539880a6,9884b60a,f1eb02e,55dca05a,8347be14,85251676,d20b779f,9e5976fe,4def267d,4f1b2b6f,d444ad59)
+,S(4dbda303,a67a41c,a46f417,54f9bdc1,34a305a,9018ce0d,4cadbe41,886eaa13,e062cc86,fec33458,d65f9fe6,4433b745,909a3b95,d23d7970,c22585b8,3fa48fc4)
+,S(816ae1ca,4d64cd9,5a7c10c8,fd819c6b,f8c8b1c4,f495b111,d07f2a00,dd0363d1,c09f6bff,c331d6fd,56ea5520,8e9d13bb,b12187f2,d49366b,2dfd1c18,66526009)
+,S(45839f9c,983fe0a7,c3b2b8fa,e5e288ad,87202944,c16d60a0,f18daf,8081b52b,f9368e07,4de74eb4,81f7beb,30835af9,aff40c6b,cda104db,2a785a6a,65dd8649)
+,S(50ae4a48,3a49203b,1e04c482,ec2454f2,44b7157d,b23bcd50,63c5b6e8,d4223465,e1b8cfd7,e7bd2e1f,65f2031e,c583bda5,a619028,5c364658,36dba37e,7d5f3008)
+,S(df77b231,60395089,19edde15,b21ace77,c5d8bb4b,ed26f9db,a694195f,616b72d6,8a4b75b8,9ecebfbc,b88cff82,2673665c,c99e270c,b33f3037,17dc9500,8b4344a4)
+,S(ec6c0e19,978e2f18,b74419d6,70274075,6d2d238d,63b2d345,437b0b8e,f233277d,f90dab9a,2dfc4cc,62571dc1,35bfe4c6,96bd3968,173ced8a,4a363f0b,2636e553)
+,S(2874416f,90e7fce6,a6d4eacb,1a722218,5af2a885,4852be4b,a4619011,617b3329,1f323675,f6ced648,8ba4c9af,7912ad7f,b8628e49,5b4da82d,448dd265,eaeb4466)
+,S(872367ec,586d3a80,f8c87f3e,83b6dd3e,529de5cb,897c9d2b,e7dacf3f,70ff4247,e5bb60e0,fae0843b,788768b5,e427e009,7dc571c9,e4b62eec,eef68512,a6a3ac05)
+,S(c10f2004,baffd30,ae430ce9,40c4af34,4339a0b2,13bf1f48,91b8da3e,424713cc,37be9055,f0c39b36,c546d456,b3f82edf,bf6dbf79,6343ee59,c3537fbd,8631c7ee)
+,S(14e12ee1,91c83005,6bdf0f15,3353e80,733b8bb3,b93bc59d,a356dd94,70d847c5,e9707b8e,e00c1781,12b32ba7,c66d7245,d487f032,18d20da,b1550e3a,9befcfb2)
+,S(dac3ba1e,2583379d,d2cdd89f,6ad053e4,3687eab4,ae804305,7b57823c,489fdf36,45e3da4d,88211519,55c20ab1,c2d1ec4e,d13a6942,fd37bfa4,7614745c,6fe2c041)
+,S(d9bfc67a,5c086ae,e879fad0,b03a5a2c,a2507dbb,fdd2cb09,2644dcfe,bf800bf4,e015dd4b,5a39f5bd,1536c8b1,e93490f6,e5bb4e8e,b23e6ca4,2fc14634,2be6730)
+,S(de6f3452,2f04ca0f,170d7e58,1d965982,8a9a981c,12f6cb34,761873,7996c61e,1ec16f3b,28d74fa9,43b9c251,f34e15f1,2fc6d814,ff024e3b,826054ee,f72a0cc7)
+,S(432ab355,338e17ae,884a15ef,2365283e,b35c873a,4fa8cd93,f54bf828,a0e30eaf,f56066a1,a130dbf,8a3e076,720c10a5,caa9af0a,7d86ab9e,8703dcff,95447807)
+,S(3d2e3507,cfa127c3,a350f546,d95431d4,8d96990d,b5beaafa,35a408d6,7f7c4d99,da60885f,4711c373,145655ca,b0f8a235,7f4a0508,2bbd2ac5,1b255593,a35f74f2)
+,S(7f3f431c,b96dd4be,37c29d0a,55f3b71b,f781c7c6,191983f,4576e518,24ba87ef,f4df4345,7649d24c,2b8259f6,f7177b96,cfdb08c2,4e9161c1,695c8027,60b8bfec)
+,S(4270bf59,f2c87000,44b6cdd8,b558e6ae,6f7b67d5,f128d716,3d604a7f,2f687143,358cef,2e8ff919,6865da0a,15a25524,6c4a180d,ed25174e,d08eabd,4da99315)
+,S(c663722b,9930fc9c,4113af50,d51c6539,b7931cab,ebe2ebd,46f95b8c,7f603852,3443e7b3,2cdf23d8,eb532a31,3ca4b32,b94768c,78f8f13f,719708de,925ecfab)
+,S(b0014864,e396ff02,cebd7b65,c66e57f9,168e8f3,95ae614f,21f8f162,c86c4e14,3f6c99d7,e2ec94de,ee65007d,ab501230,4a80b69e,a0e0672c,b7dbe4ba,182eb876)
+,S(64c9cd93,98fe9da3,5d3329f0,ccb82e43,c2d735f4,d2467b2e,1250c410,da84f41a,d24b50ab,71bf6033,d1206fc6,dcedf049,c223ef78,ff50905e,c8d95115,564372e9)
+,S(ffe0841d,51e05862,4f759706,b27db960,ecccfad4,cf326736,ab4fd9db,cd29b766,6bd1f1c9,f6956c10,4fec1595,24d8064f,eb5d8391,30b34a01,77c07491,79cf2562)
+,S(d1dd0c0,c053c597,bad38d63,c40d1e7,4b451861,cf0f20fa,47fd3f9b,77ca7432,34aa97fd,b59495f0,3e7b5628,daaaf66b,5c9dc5ad,de929032,80ba23bd,6c55976f)
+,S(87a436e8,c76bd7f7,a3e49cd3,af996f1d,9153f704,1b185d8d,f99eca45,ae8e5779,8d2cf3f9,12553844,ff905d5b,2a1fc36c,369ea4ff,6a89a027,b6dbe797,f11006f3)
+,S(a54500a7,4899c440,384f707d,a8fd62ec,1801070d,cd5396e4,b59e9ecb,df27c379,e216444a,6d26bb06,5f5b5e5,72c927f8,5315df3f,11da2cae,2f334572,33cb2668)
+,S(937ea4f7,99a319f4,fa5aea85,b48d6323,28417b72,8690a9c,88fbd51a,57d8187b,2931a7fc,9eb4aec8,b7dce4af,d14438ac,fce77bda,a7d3e7bb,b24c8554,cfdc9d9d)
+,S(50793c76,bb914aa3,204dbc96,cb04ff26,c7060863,8d497f07,a1eb05d9,b7fa6f36,afaafc78,b5e30762,b68940df,41de9ef3,d963b603,6bb1ffbd,eb13fd67,4bdab21)
+,S(8b600630,fadae564,dcd1c570,9bfe1ad5,f8da5282,61d55bf1,3a29766f,6d8bb5a,fbf1b64a,3bd0439a,ec45a7c3,859374c1,7885389b,9c201f4d,c1142120,6b2916c0)
+,S(14e88bdd,e32a15ed,a37c9650,ffc18ba,1fc61643,22b167bd,635f3d02,e78c8458,82c1ec3,dc240faa,5fa355be,475afe0b,5cc2cd13,760249d7,35b1efe9,976f02c9)
+,S(c201e4a3,24b68472,d453dc02,8c78b1c9,975a3d92,efc70a30,a912fcf4,991c6c06,263a954,41d6e6d0,8ebf3e50,3c786a12,a82f5f8c,d38dccee,62469e9c,f0e2dc08)
+,S(4097665d,319a8b3f,71861b1e,11828cdd,4094182e,611b35a7,c5d10ee,99db4fb,ca0d7ceb,b1aa2b1f,576cd1ef,56ffee03,322a6b95,505727a8,5dcb70d5,27a506a)
+,S(173d287a,eff9293e,dd2021a0,4be052d9,3713341f,37a537a4,45deab49,b427fa92,9626e204,f03a1886,c27c37b5,85725465,72e5302c,d3f9ce54,1fb9a46c,16432548)
+,S(c923c74d,1b114f,30d4b03c,92629bed,227fb8c6,8f1f39e7,8f121a44,694d4256,58edbe6b,dd5e1382,108d1e08,ef022788,c9f91803,d8ad4273,1f413440,5b5b3d29)
+,S(92fa7906,b1f25c2d,3df104c5,196cf31f,93e5a8be,6cb91a57,c88c4ab7,cb92d46,a12162bd,79341fc1,e8f74db6,2bcd0d9c,ae99a75e,ce588240,79a61751,c887f307)
+,S(37477df6,f51f78c2,a9c8e17e,ed30d5dc,976a9c91,4aea94c,691aa3c4,8639140,6a6a26ed,1955656c,64c6e15d,e50b0453,25c3da66,f5067730,5c2d5fc2,a8089872)
+,S(b5b2ee59,1195f38d,f834e78c,abf00fb0,be9bc724,36c5f596,67ada098,dd0521bf,10f36f85,95233008,46dd276d,951abe90,cc8baeb0,fd8fe44,314706e2,15ddd5e4)
+,S(b05d1b8,443f1bfe,36a415e9,d307ef2,56039335,76ecb630,94845b03,d2a137bb,99fece4b,ddc90b2c,3102a415,6f0d63f8,54098f48,3e1ef64,65f7f062,7d066cbc)
+,S(e5d711bd,4778b3bd,cefd703a,e9525b5b,d69dcd86,6cd0b179,de76ae8a,5d918fd,8af014ae,5aa05b29,a0c88e21,8fef5690,9685d524,af389327,5421c35c,6db64248)
+,S(7703cab8,377a482f,bff1c6fc,4d137998,1e217d11,c424beb9,f4f1f786,86fa4f30,3323edd1,3c80b8db,c7e247fd,5568c92c,8dd329ed,420aff0a,8e903571,e884e8b3)
+,S(f834af29,c18bb488,366cf722,52a44357,2c87da2c,c14b3085,5405f626,154f3cc8,2e8a0ac0,ca5441a2,9e27dc09,4fd5bcc6,6bd8f7c4,717615c2,82001fed,bd5ab248)
+,S(783b093d,13f33c60,1db8ee84,51d852ae,13bbcd7d,1d03a79,4c774336,4bbbaee0,3aa90b01,cfde6abf,fa0dbfb2,ec2cefb,6b5fb1c7,41701ab,66ec9b82,74ae5b4b)
+,S(be3cc435,a7770b99,14a243b,48ef2c77,3ae42e82,1c18a266,6f92da59,e01c3391,f0d3bd36,9118c58,159fc64d,e61ebc58,a560f705,25dd5c51,e6aa9276,5ce4a701)
+,S(3e980bd7,adac00ee,fe362454,5fee1ae1,97f89e06,84576a08,fc909285,783b606d,c64f0e41,204c946c,74473434,7e091147,67455e30,53fd488a,34d333fe,e9c5c228)
+,S(a6b04140,aa621e6a,34959bf1,29790d72,91d7b154,5dd5e7c3,35bbcfb2,d582b442,9cb2c9e2,9cc05d97,5e61d151,542af6e7,a997f8d8,ee42d37f,8041c169,abcce830)
+,S(7ea7a83f,c133cb8f,a109a6a1,b29b2c3a,29ba432d,222382e5,1f280e2a,47fa721b,cbe384e8,8a1f7731,831c5562,ad1430a6,6aabab75,e38571b4,5bb7dd8e,a699d7e8)
+,S(8525e87e,f0fc9ebe,2f82b5fc,a14ba6d4,8189f9ee,146aa6c8,d842aca6,90fa042,dcf06a78,f311a3cf,182a393f,2a34a570,192873e4,7dfe22a6,86c70e75,6b32c86f)
+,S(7555a77d,fa050d0c,9ed29c33,765fe967,16dafff3,6cd04fc0,952a7b41,bbd56dce,9854c0a7,bdc3dc1f,d8bd0a3c,d0af3111,18dc0392,830699cf,d0bd6f1f,17152177)
+,S(9ed142a0,7a0adac1,14e6f026,133e00c4,972bb3bb,bee62f71,beee17d,9aac296b,c1eaea41,6c80e3b8,d24d4006,f699af50,9f4dca85,11c27f6a,39150a20,2b7a9d08)
+,S(a3fd2cb3,784d8ccd,92aa67c,8118fd80,c9d761c4,2e0169d5,fb13b1a8,dfc56b79,75cd9b41,55db55f2,d50fcdd4,8c90d58a,b0d13df2,7a09df6d,659bfd5b,f87ea755)
+,S(2ab4be05,217e7ee8,799ad598,b9c0e211,554338e2,8bb6d42f,c9952203,605ad251,2c2a1a58,da066d4a,7fc8c8eb,83e1e47b,b788afc8,3c8c5dc7,bd8f5e31,5476d853)
+,S(4afc2888,af8c1aae,af6268af,566ecceb,8c95d09,d9f8f359,2cea567b,8648c383,b1e26b82,5e69e92e,98902579,7e99c7eb,cf3f284b,e1de0054,58b59336,a84f5eed)
+,S(dd800faa,92319d2e,48038600,aac1c2b2,f63f5fc8,dafd988b,548021b5,2d8e3d4a,59fe8092,6e0468d7,60e522ac,91881bc6,8fdbc192,14fee60c,e8e1a977,1039ed7d)
+,S(84aaf3d1,daa3a5f8,89b9bc88,6afb07f8,7bb5182,6df9d7e2,af5a74f3,c6378c91,f4164ab8,45eadd6f,a6331218,ecce096b,a04fd586,b744f0e8,11c2a48,3835afbb)
+,S(b770f2c3,9e2e9db8,a92823a3,adffb690,d2ffc180,b88cefcc,8adad3a8,27c40b2b,f7c6e37,9894982,5d1b90a9,16ea564f,7e319c97,ca6cd22e,79f599e8,dc0d53e6)
+,S(a60608a8,a0d7e556,70145c5f,bb107cc9,7cb1db87,2493f362,36a21e7e,babb2b29,3423527c,4e414548,96406f90,6d4a3819,a289c91f,b580ce19,6f25c57,7b54de5f)
+,S(80f470f9,7b7f393a,5e6b4e5f,cc911a73,20f6b0f7,fcabf2d9,21eb649b,53414597,57d8f2f9,6e1bbe0c,1328faea,13c3f3b,770fa14e,4b5b7e4a,fa1ce9f1,2bd9adc3)
+,S(4e111bf2,1f5248cc,3fff0096,c64a7b58,72e4a3db,1f0397fe,261cb33a,995abb6f,249cf172,102733bf,5fd829c1,d60bd930,c03af614,31faab0f,6d5acbb6,96eb2b9f)
+,S(7d8c0cb5,47fa1d8c,10254660,a20e85ec,960cb70d,f38174f0,18416c68,c62844c9,2d79ba3c,17ec4d79,a157335b,f358cfd3,72b0f1ae,1f6bc743,40400571,5f35a271)
+,S(bc0d4cbd,95896fa5,7f23d48f,a5a9f2f0,14b132b8,9b5953aa,f612aaf9,670a0034,f5d06670,7b316581,7a641091,55773bcb,83d7563f,28ea5412,480a0f48,2fa0639d)
+,S(b154a2ae,ad08d115,95eddbe1,c9321e15,5cceb0a6,a7e646a4,2dfe70fa,b6d37a40,9abade21,674dd12b,d01e586f,695c896e,17120d8d,9e3c756,c8b5e53f,3216592a)
+,S(ef603c34,a6ce06f2,7053bc31,841fe2e6,314be756,7e477325,5315ca58,5772e1e4,f9ebbe28,96f3b0b9,923a7e57,d819a231,15fced8f,3bd08f51,64aae597,c49ad65d)
+,S(a601176c,2d901ebb,ad5a05d9,1adc0041,14f7bda,1ac496e2,c04e23fe,82aa9376,f781ddb7,ce0c3649,3772fb84,9e914377,d59abcf9,d3eade68,f8c8a303,1ae88ab8)
+,S(abc41547,b6b3104e,fab968b9,bc9a9027,b1c7f0ef,3a9007eb,27331539,5c31e6a7,cd2858a2,28f21d6f,bd8a1821,dd78399b,594c5bd3,52628dce,879b8a37,d97e0ec9)
+,S(92890105,c9c721,b2e4c430,26e413a,941d1da6,d31b48a9,2f2e3a17,d87f5a81,c1cad87b,1bdcc617,1e432e17,c13b47c4,15c22399,a7cbfe2b,b3097f28,da60a5da)
+,S(e520dea6,9f4b35ca,46a46831,9947690c,500a7a80,6bd64228,ad144a7d,c37ca563,6c00d766,ac3f8fbe,90355dda,6ad4e2d9,e2330b0a,db673356,638b0d3c,8a2a82de)
+,S(c0337a23,e2b3f1c1,a57d18a7,9d6ef25e,ac2e9315,18f0ffb3,7502d701,c57fadc4,fcea5873,be22df35,4729c3d5,b07a570d,7ac7e938,f6e061ec,cdd2146f,50808b65)
+,S(276c62bb,6a8e2c07,6b5fb6a7,62d1d624,1b796a96,f53593c,fa51279b,2981ac04,5c53a65a,bb6b01d2,3f9284d7,d696236c,773c4578,88f692b,73e2ea17,6e1afc1a)
+,S(604e1e87,e5051dc2,b837ccdd,43c8ede4,c4a2de6f,67a9ded4,fad1ddbe,8d663a5f,f70fe23c,e3511973,93d4d675,9444d862,ace4c473,99c34349,2d06b27,8b429bee)
+,S(f2fc151f,470d9106,d58b05be,5e9039ba,4aba16ae,f7e4ceec,3b6e3887,5c41f6fa,f49bd2c7,f1aa5c63,d8e7f2d6,e0769060,d4188773,9c16b7b8,5d2a9216,e1e98de0)
+,S(8e031346,e9f34ef,3b81d9cd,7e46eaf8,7ee0b294,d66b0315,eb0902e1,340ac560,ff00c8bd,a5e21e1e,5127441c,ee0504e,6b028c,ec0dca,450145f9,2c394296)
+,S(a8680f1a,d75b7a8f,27a1cbe1,6b2954eb,d4e26eb3,a85d1a0a,96b9f40f,e5a9970b,60c6bf41,a55bdac6,397281f2,a3f52896,757401be,c42964c6,9501973b,e6070c01)
+,S(4d68a1e7,f4d82ea1,e03407c0,5085c794,9ca8c00,d4dcb066,128e6c6f,504f4658,85c5de11,e5dd3691,2aa95d2d,2c36dd6d,26a9550a,3a672af4,d36265e7,a3d1ce76)
+,S(3708f41c,2a6d8649,6983cdc1,bd02eb39,758c0bc1,ae78a483,5c6a20ae,e6c2a7a9,310b799e,79b7f5dd,5c9ae0f8,7aab193e,3c2b7145,c70af9e7,f4553faf,abec4152)
+,S(8c883967,45028c5f,f1b96181,43f5b732,2d1a18cd,3abb1a92,f6ce3780,a115f059,24563ad4,e4ae484a,c344180,66dd87c,40128e42,5c8dce10,b008a7e7,620725d8)
+,S(c445e76a,7b377ad3,bdd0fd1a,94a7263b,652e83c2,6342305d,a0e1ff4,d58f8fb0,4bf5a41a,dc8ddb61,3afbd3c1,3aae7dc6,f60ae2e7,23065b8c,c94cea61,cbacc89d)
+,S(4ad9613a,c8a635fe,60d9f1d4,da4b9fd6,36949d5e,edaaee8d,eb2f65da,8e419f16,5a9b5b06,8f67a0fb,3ad31c83,ef1a81b9,38745877,b4b07316,42ab4951,68b0d7c4)
+,S(beb3eae1,958bfe6c,9ab49d77,648aa662,2e397fbc,58e90b0c,20d1d29f,d760c943,d5a46be,f43a67ab,225dc6fb,5aa68daf,ec76f27b,6a822678,dbaeff88,382c9b8)
+,S(aaa9aab0,bc0e21b3,be3f1dae,ad4a076b,4623fc14,3e4018ab,9df9a19f,d134f397,9c7d7fe,19642c65,a6c0347e,8fa2dad2,d3f094f8,bab6790e,d3c703ba,2742e40b)
+,S(553c1e89,99d6f446,2fd7ae86,f1cf9d24,d4011661,9fd5d356,604d6a55,ad99dc52,26b40d3b,8410ac5a,6d2ba776,f7c5f0dd,3f6fe494,379344ed,6460bd6f,f550cebc)
+,S(859885ea,36378fc4,398dae9c,4725d604,c3d56509,559ed28a,b47ebf82,5aa1abc8,fae5aef9,fc74b963,bb2fd930,5b2d1636,e6e84aa,3c40b066,9e531fcf,f00687f5)
+,S(5fb0a118,679c5d48,554bf7c1,63b82345,89e51032,a70c654b,bb7bdee,f0368f93,e8d55f0,4a6816d3,bfb02111,eb95d868,5b9966ad,39d94c70,a4cf1826,6bc2a2d0)
+,S(a424347,86f3e153,c9bd737c,1e70ddae,bbed445d,77ce4302,194be82f,94f91dfa,27d1cad6,abd9fda9,c1012f4d,f25b69fd,a54239a5,8ec12496,97116548,e7beed46)
+,S(5d007508,63fc1f3,a0a8213c,c729310c,39465945,72b083ee,f571b921,a0c821e7,e538fbc4,5d055a07,b2cc2605,61238486,d99bfa81,6b0407f9,39f1d12b,feb2df3a)
+,S(a3eb25b8,97b10286,934605a0,e4aab7f9,e80393aa,71cdea52,5f82f5e8,282e3db9,e2b354c2,1430c45e,4236baaf,128967c7,6beec58b,e6890c6f,303d83f,71e7f77d)
+,S(73f63220,8a133202,96f3f51c,d10fc816,1e309e51,4ea35f0f,ff72e09c,e897981b,43412959,cc78f32e,d6df7ded,349a92e,3095257a,8a1b5dc4,15ed073,a420179)
+,S(5f0825d1,c21bb5f3,8f0d9628,f6046648,7760512d,f1bb9bb4,ccfec4e7,48da41af,debac60e,1d95de12,84f1abd5,b6592824,5becd4b8,c2496323,b374239f,fe5c0cab)
+,S(cc42a6f2,b4a8e9f2,fae3f624,cd12294e,efc26dff,c66a676d,a10259fe,f7d84294,91b26600,f92cbd05,f13f2adb,2b5fb17f,118a7ae1,6a011690,1bae0e14,3b230519)
+,S(7d56e0e7,6eebe13f,a81aad7a,8efbcd1f,4de0c5d6,bd136261,8f0002ec,6f635a17,95462707,fe55e3ee,46dca813,eea5de7c,51122ec,55a91754,f7d13ac2,43fa1ad8)
+,S(7972b61b,4fe85ec4,acb605b3,aadb56b6,fba8cafc,3c764dc6,add54c06,f7a5be61,ba186670,2642fa6e,a7cf5141,c46a8e92,4764c4ce,5d45b7dd,9f4926c9,32b8c7d8)
+,S(edc8a440,347b1500,899f6360,9674f90f,4344c87f,361fae0b,bbe08235,d5025626,2f812740,9a14bf59,9bcc7cef,ad140b2e,7bf84122,9a51e486,4d01ecc4,1b2cd77b)
+,S(bd9b65c9,7a8cf4d5,2f727b57,19f99986,d4ea1bbf,25560d18,d54877cd,3db16899,59cf7127,4e878e5c,bf0d9e02,dbe4f861,ee9c8e3f,5dfe99af,7db98e2b,c2fe432d)
+,S(27635e38,1191e8cc,d3756571,44c5d8d8,72d91802,5950a106,f3be2acc,4cf35782,c359fe47,a019870d,7fa3ab,8f51bad4,eb5251f3,7e6b8ce9,db1992f7,cd1ab7d)
+,S(4492dcc3,16c05300,a96abad1,47a00e98,359950f4,95dfb261,839ddf21,3b21d85c,edf1371,a4e81e42,dbfb8c6d,2229dc5a,fafed4bf,a58c2433,18934ed7,dc9ad35b)
+,S(f8124c40,409e01e5,8de8a386,9bd88f8f,25887fc6,cee37c01,279aa606,edf9c67b,e0071d1,d31fee0a,8a26269c,3d7f3662,2b0f008c,61e749d3,65560c21,a26fa6bc)
+,S(cc597b67,66eccdf,a2c0716a,dd5e51c2,ce3aed33,8f55f0b1,b5784bc3,9a05a2b5,12e031fc,394a43d9,d1e12ec4,28e8d5b,df52dae7,f3ef22da,74e3a418,74682865)
+,S(142cb2c6,bc1283fb,d2164270,7d525dd3,d4a45f71,a63222ee,6fdd31e2,805aeda2,bde93d12,c72c422a,e4d5b718,bec6458,ed082bfb,7c686f2e,1815edc6,5ed66ec0)
+,S(fbf4d602,dd765941,e696704a,1a8977a9,c3327375,e3f0d479,68fd9148,c01d2d3c,65b46df7,99e895cb,a6d4cae8,e68f6160,c7b96fb2,9af7d18d,8ef1396,c06afa8d)
+,S(efdb5d57,bb5fe8cc,e3300ea5,ec14c50d,f09436db,cc58ebc7,c6d123e1,8dbfffb8,39083803,d9a90c62,6219ce93,167bd89d,d444e47e,ddd60deb,8137b8a4,203fe01)
+,S(5bca4334,faa30557,b4b36c7,b6bf2d4e,921f59f1,eadebd74,97690742,2c3f35ad,3c97baf5,e2a663f7,22bf2fe1,cd646db5,79d27f2a,353fb45b,520d227b,c21206e3)
+,S(9aa1dbbc,e90cf065,5ad8a0f0,54aa6641,ff921e97,1a73cd4c,49ff1f3f,51156632,cbf6e81d,8bf1e85d,b802f0f0,b9cc1125,6e0b337a,b90112dc,6513bf40,2b1a4200)
+,S(2fc7fc55,86ed7676,4d5d4d23,ddec2827,5386e56f,eff09b86,abaa9562,73c2d408,5bff69e4,773c34ae,e477b0c3,e0310b5d,6019a558,5d4c7f3f,54f9c810,69d6285f)
+,S(8e5fb941,c3ac6f2c,43195487,80df9116,6ef3b210,f2fff34,764cccbb,d34190b2,dbe2c1b1,5f6668e2,c63ae154,ce7b32fb,8d29b59e,dcf1ac4b,1df9baeb,fd10d2ce)
+,S(7a5bbb59,4748d6dd,5d3389e,aa95b8da,dcfbaa07,26693690,4801bd61,b3d49c6,c2d28043,a42d33fe,8d8b755c,61235c68,ca13861c,effe3fa7,fd4edeac,634187c0)
+,S(95beb8bd,f0d33531,ae73ee1b,1b631ce0,917c2fe2,22534745,f87faf21,bfb76753,c6cf8600,d9c55975,527e269f,b4a0e4cb,b9bd7783,7e230ada,a43c2f0b,c64f45b)
+,S(f44ecb0c,6d896dc0,304fa480,90ab9793,576dbbd9,76b8fa32,540d223,e2968d25,545064f6,29644329,76a03c62,9ea46a09,e20e470f,5e76f810,6d19f353,c321086a)
+,S(8dd32cd3,3dbd936e,6173ef50,1f7ae265,d56d68c2,77061e07,4fb49d26,538109de,6b110e5c,80daac20,5392bca8,a47d6d90,ad158c25,a10c0851,ae985f70,7c3f1e76)
+,S(3d4afd30,b0f0f578,d4fbc77e,b71d044d,fea5e3f,891cda8c,77075dda,6237997b,2816e0e8,664df57e,c793d442,49c23ada,ae286ab,e748493e,d83b1efc,58bb9ce)
+,S(a9b739fb,beaa3b22,b295ccac,86a07ba2,b8391381,2d2be020,a5ffd17,85d95ff1,a1d08230,21d6a6ae,f696d732,3c43fdec,d3c5d42b,8ed7ad40,1a55b2ae,bfb84f1b)
+,S(e9009747,e51251eb,fc2cc754,c8b55966,a37e5d67,acf9b632,bb77f46b,9203715a,34258967,9ea8f997,71b476f2,5571a588,756f277a,17ce3907,d9cdab4f,cef9df72)
+,S(7e348ced,55aad74c,c24d09b9,6b332084,2108fe41,3ac4c6c1,a8376439,f21a3f2e,39874f8e,3b722795,d8465706,e439e4f5,c884c22f,365920f9,1edcf83e,b4389e5f)
+,S(a7dd6676,5ec2d701,56f2cdab,f0fcc0d3,8e340fb6,8a0d1220,aaaa74a6,fbb1f55a,b7091bf2,ab00a63d,292ded9b,b00bbe9,63710dad,445e8e73,760a50e7,2f41d447)
+,S(b8579e9,a8cccbf6,dc033a48,16d8934c,51c0852a,4693fa96,a308d51e,3f57025,e696ecdf,4d79151b,2f164a3e,bc11bda,42c88833,6f694fec,a8bcdcc5,7158268b)
+,S(7b29c45,9de0080c,bf8c8c72,e7b59a7f,184f1c1d,46787cda,bb42c2c2,bff57af8,40de8367,a6d8d13d,41901ca5,60376ede,817578b7,25f4e614,5dc46de9,5f801799)
+,S(1ceffa6f,89b65be7,ac20e34e,f0b7e503,d1c4e9d,b31fe14e,179afdd,96f00f9f,6fdee8b1,f05930bd,ed98feb7,81790e10,8e293bf5,bcaa6da9,79a744b5,1a76f179)
+,S(556e2d6d,11d301c5,6d5d01e9,a01e2ec6,80ba4efe,a004de47,ca2d97d9,15e58d74,9588349b,b633d7b6,b55ba7ee,feecbc99,3d66e6c7,2f4d8961,8a2c5d7,5249d711)
+,S(b3506e88,73b93dc8,ed04518a,42b62ea2,b97f7bf4,e9ee66ba,6a7ab917,a1e51586,474f8100,1230fb7b,fe693eaa,7acba9fe,5917a39f,1f8fe3fd,5823ae4c,1b0b3b38)
+,S(d186af3,89cb4908,db01a886,f90ee67c,1ba7ff3a,19994504,e9774b96,bd2628f3,3b39782b,c6567cdc,b4778c75,a862ef36,d01d746f,f411821d,5d08f7ee,f2a2db7d)
+,S(f951d921,e1065ac2,3fa45900,62c639d,19e8c980,2a810d55,d6788572,ef987bb7,dcf7ddc1,87f8e975,27db239,7f553b5d,51abc66,bb76a070,55d098c7,f9d7d950)
+,S(8dce8e16,7bac6fc6,1161b75e,8f340e0b,8bcbf874,fc82a42e,bb53e0fa,c4d915ec,11ce53a1,4a9eb9eb,9b4b410b,34d26ed7,9c0287f4,9032f674,e3212617,e0ae940c)
+,S(ce2d3cdd,a0a7a43c,d7d2ed15,ec12a7aa,755dfc5a,ed5a85dc,4f439eea,99e26e2b,6a96aebb,e7ca2740,ea75c285,3c582207,6a8eed64,7e21809a,36b97c60,7a5a145)
+,S(239466fc,dcc2d4c5,cef367b5,c8339248,f712c40a,558c80f0,5ea390a8,dcd92092,f2ce223c,9b49f08b,ca63ee8e,98e01736,65d176ab,3b7d718e,d0e855e1,27ac28cd)
+,S(220ab764,341d3c08,d9c5bcd8,331e0973,4a2f3c64,4766395e,f6a5fee,3563e033,ec1e4460,d03013ef,467dc7a4,2b520c03,aa51a9a3,57817f4c,f9dcd837,56df5011)
+,S(d5455dfe,16406a6c,70fffd81,f3c4d10e,845f0b12,64fa3db4,ee2ffe80,904b469f,a0f93b8d,257e1e62,265d99e4,9158497c,28a20af0,2af959b8,8810a10,60aaf9a)
+,S(52367377,a1f6f05d,df054665,f1eec0d2,f5039cf9,cfc1d37e,1a9d89f2,88e60c72,78d89f55,430fc352,cd58d047,7e2497a0,d05e7016,d98f9ce6,a039fc5d,9ec7bb41)
+,S(5b996113,3ecc9422,26a3dc88,67364125,a8e569f1,912e6c9f,4c1ddea5,5fa56395,bb9d7764,12076caf,5d8ac902,c5e2fd5f,f7a0bcaa,10898f19,10142af6,4e436d0a)
+,S(f36cdb5c,bfbed1e6,58c7fa4a,5b0a6773,eecd1a43,db96cf0c,7c24f32,b84c13fb,cfc6d2f0,5ee9eda2,9156aee1,81b62659,993744e7,479379b9,3156c919,18c394c)
+,S(3208c58e,25107af2,b38bf754,5531266f,842ce33,10ec7e44,595fb91,7079a6f9,831c6dcb,5346b6c9,605d9ab5,895ec2cb,653599a2,c88801c6,45a4758a,32c785d7)
+,S(a6073a07,1f8510e2,aa021b80,b44d7356,47253583,6501a5a8,c5253918,8c9927a7,e93a9fc5,4c8a7612,16718baa,dcfc9bba,6fefa30d,85803246,2a9f191a,6364fec9)
+,S(3350b462,f79eaf7f,260f2147,6aa7ffe8,f7ec1a7e,35624713,9e335758,b9f0d913,1f0c9db3,fce1222,fbd2341,ba8d2e93,20f33bc,482a4d4e,80571711,21152959)
+,S(a54d5b17,bc82a74,9207c89b,5a1650cc,1773913e,66f6744c,11de24ce,3073caa,3c243b5f,5309dd11,83c7fe5d,49222c9e,fe62dc26,f92b73af,cdb7b7b1,32cd3ab8)
+,S(6590a2bf,676a7a34,a1424f7b,1c7863e,8a7d346d,563905ca,e5b25729,4a04cf8,11cd5803,490419a,1382d972,eea2f734,4f8d0cec,42466f09,39650645,a3e781e7)
+,S(b3c09c02,9fc7f48b,d2f461a2,a367011,8840393d,fb5b9592,89e96ec9,c7cba9a5,e7b5aa6c,bce54ad0,197bb1bd,ac030e2b,c6a3e6d6,af2db60a,b97cc92b,8f5cfa9)
+,S(d7968ea8,44a137a,7db36143,98b29972,cdc693ef,8fdd4644,26a92939,18fa8bc0,82402589,2901434e,cbd5dd29,410ce2e5,56dd3174,d74da2e5,28326ec8,ad57a75c)
+,S(8a57bc6c,2f98f9cc,d1eca172,b2501adb,3bf6edc8,4b50365c,6d959f00,838e8304,2ebf5462,a0f85985,438b5d67,cbfa68c1,bf643410,11a478b9,92cbfe0d,87e7d14e)
+,S(51886841,684750a8,c3cb8d18,f8c863cd,1a555dd3,7f0efb4e,551d0d50,6073fd22,eb05f09b,9e983ad0,a6ce0f15,c2f5983c,6a28ce50,6c52f691,f30517da,36f3f192)
+,S(fea8c35f,27e4794f,a9eab856,615d55d2,d3a02616,9b9eb7b0,ab7493e2,f67c85f3,c325de97,cf0a6e3a,98512337,8e2ba2e7,b24158f5,4aa97c88,9b54a502,8c148864)
+,S(6612cccc,d7bc25e4,f8dab955,d5c1c9cd,d79d5f69,7ef4c510,77b5027e,d1f94b63,615512c1,7a378d0a,e7aabab5,253df9b,e9bd6a80,15c3b200,73d0499a,3457860b)
+,S(c998b07a,499859db,4c9d698,33199956,f8a7ae67,9f6d3533,cbdbd7e4,a86f8746,d9e01371,919e775e,a259d81b,ea206e9,37d6b5e9,113838a6,6af11bf0,8dd17138)
+,S(5c0e4669,c5cf965f,854fcd0d,23ddc908,c32e3915,460d44bb,520fb0c,3a4cc1e1,cfebbbaf,7e0f9a4d,d2f35ffa,cd0f7cb9,89f5eded,c8b3c554,64fb909c,675adea1)
+,S(d0fdda48,30385167,f06f6433,c6a9d3fb,7ab3195b,64f9750b,cb2dbfb8,7158c0fd,4cde5577,6a34f61f,c82e1359,8618336b,f5c6e315,d10abc35,8f0020e3,ef1283db)
+,S(d925570f,d78bf65a,5d48265,6222ce74,7cab153,19b7cfd3,7bc70185,fa4a3e81,3c399a,c448ba90,1a21a5c7,b9c6575c,ff52bee0,cdd00ed1,673d8370,87c1924c)
+,S(45d2b56d,81f84bac,2077d607,484b0802,a023cc4f,d7818f9a,1d0c2187,98374c8,14ca18d1,92a9cb37,ad50506e,a25663cc,9829411f,848bbf05,3064041,9c19d7f4)
+,S(6ad3ac11,8588c5bb,f793404d,df9a10f8,ea8c1978,65a93fba,5b7170b7,9e157400,fa25741f,1e242c3f,edf20e80,fd76292e,382eb5ad,1731ec97,a8762fe9,811686d7)
+,S(5da24445,b6dc960b,793ea9e3,912b21d8,26d54028,2ddcbf5,28e1ebf,4a595f52,bc18ff8c,ad1dca69,8995063b,ff8a2fd2,fabfa0d9,8c8885fd,1b401f3,65f16026)
+,S(ddff6468,11ce86d2,93b9b89f,865d7133,d7b5f189,d527cf44,5ed15efc,ad32b346,7260e994,cb22016b,e121ae08,12b01c3,4d236b67,13ea510d,b1aeda36,567f5737)
+,S(a8b9ff3b,9120fa93,d0f2f50b,c8509846,c1030d98,dc9d5243,6ad9e69b,f897f029,5cbfa29a,4e516872,ea9a4c2c,a3b07efc,c866aaf6,a2b1d7b2,3597e332,8466c591)
+,S(943077fb,177b9d6a,723c18ed,ac8deeb2,62875264,868eceb7,a2fc1a01,51dbcafd,219a9fc,41ad01c9,d3f8248d,ac7df93f,ccb6e312,fa5fd442,e48f4a95,18e7eb4e)
+,S(75cb61ac,9c9817a,fdf60f52,4245ebbf,82b33f9f,a564d74e,9e810f36,6458b8e3,aa8135bd,f66f0843,460986f5,f9df6b9e,66441477,cd58cfb8,5b3adfde,ec03c367)
+,S(1bb7e177,27cb8e85,4bc922b2,28e7f0ae,c34fdcf3,b9bad0c5,750e7c8,e31fccc8,bbf72886,1e855e70,bd9e322c,2425cdea,855ea00c,3e6263d5,2380da38,c0221ca3)
+,S(9443384b,39e9dbf3,45b4b41c,f05d0f30,87f02471,c98e2a2e,afda94da,8bee8dbb,e3661173,ccb211f6,38cac6e2,27e3939f,e7b5da57,f6f7a504,abae01c8,fa4544ee)
+,S(49bd15d5,a68caab2,8d51638a,ec1a9668,b4c27d54,d6691839,61ccea76,ef740d25,648fc868,8760e47d,fbfb9f0b,d995cc0f,77563b60,eacf3e57,9db7439f,3f18c6e4)
+,S(d0c7b78e,92809e85,84d3684f,d078907e,c151aa78,a5832f90,73f945fd,7acfed85,a80d95ab,be494a40,b5529046,bc305203,be91e475,22ad9d57,7ab95b3,8e970c89)
+,S(debddd46,3ab22232,5e98f9c7,5cdc875a,7c4c28d8,79748bf0,cd96bd7d,92eb9275,d103c8d,c3fffcb0,5ffb3dd7,a73af259,50d02064,b12bc754,ab594c71,ab9799c)
+,S(1d79b17c,192a6a15,8ea2d6bf,9da07312,9f9ebcc8,54b02dc3,3f64012f,1bf33998,6ec818b3,dbc1c8a8,50d986f,bcf64702,c787682,bc408a12,b78e6bbd,4cf60a5e)
+,S(2feb76eb,ff5d47e9,7289c38d,7d1535ff,74bd3b57,264c5844,9edfd36e,6e81ca1b,45bd4e4a,7ba3a823,dfae18cd,1f9cabc7,bb462e74,7899c899,378c33bb,89f93b74)
+,S(14d0d90,faef5a77,f5372ab6,2e4f5efd,3eef1b39,498653c0,6372fe0b,b0682573,517f169a,80c2b930,4f530f51,d7196831,601a4f97,72ba1312,36ba92f6,36081453)
+,S(7306a7a5,728f91c3,384bd9ad,b10b39b2,ad094137,46d2e476,fd522abf,ff313321,215e22ab,a5b9e87b,35bbd4e4,f492f1b1,574c85ed,25b86a85,a8e17b81,b7a915a2)
+,S(85d8454f,870cdb8c,b32873a0,698fad20,fd24067a,737e9719,76d4d362,6a55aaba,36d63c0a,36eb9e8e,522a0715,cb9c833d,539fe7ee,111af3bb,951434b1,3117e4a2)
+,S(c68f6782,993067aa,259b21cb,9e19122a,2f7da28,96d8cdff,c1f0a0e4,b34384c3,74e6e96a,331c3387,7ea484fb,995d6a3,8dcd493,6b2994ff,b7dc3681,3079e94a)
+,S(81448111,5dbe5550,846d5c9c,3351c89c,e29cd850,6870a17f,e18e3184,4214dd3,75dd78b3,d4cdc29c,697740e9,2478689d,540ea33e,5edd6785,210abcb1,670d19a8)
+,S(310b5b19,de24d478,f5f25993,a706f21f,24214e1b,cf614ebe,3e204815,60c945f5,8b42c6ca,f01d205,e09d017e,2e840d69,bf04cc53,f02a21a1,47e33327,104318c3)
+,S(cf8a47c7,4bafe2b9,dfde4bca,b2e6d451,b0a90f11,c684f420,a025974c,bc4bc3e,f0b7b264,a9a78699,786331e6,2c8762be,614d8a69,c0a65c3d,1cc201bb,e34c97d1)
+,S(a0fc6226,7352a904,e70100ec,63d3b60b,ab553388,69b982d3,3d747af9,8b8650fc,ba3ae54c,16b24eb4,64b88c39,521c399f,cd162eb3,f9966497,e2b96f2b,3b85865f)
+,S(aae5dbe2,535edd47,584d0339,10045333,2e1eaf70,a4e1bfb0,7dce3c23,6cff8bdb,7cfaa5f6,e55806b7,bb278439,2473732e,a51d85c5,a3558321,91195533,b7a7449b)
+,S(8a4e9311,5b897550,cbc0792f,b2705a18,5c317226,86da5bd5,b0a17bb,503ae39,1623adc8,d85f08c7,1751b976,daa17572,2442aed8,a9dc1692,2dde923f,d17cef2c)
+,S(cbcef535,eca90b09,5295cd61,29010259,8627e1a0,ccbaff26,a51cdac6,87066463,651c2ffa,c2a2c99c,3fcafb9d,8c50e156,498fee17,3462fc25,9d87fb8d,6b212653)
+,S(25971559,4d6a2bd0,baa90e33,62b9c841,bf12c4d,2ead6609,9902eac1,ed0f8c99,49e01b6c,c97404cb,8144002b,c33e8bb1,d974dd22,d0a26a82,94bad2bf,2875245e)
+,S(b754d68b,2b049f6b,ac389044,c80f0364,a707da5e,3e9b2a89,1672cd29,b6f1445f,1b29b7c1,625e23d1,67092e3e,ddfc2f4e,bea55542,5f4ddda1,af2aec5e,4de37740)
+,S(20aea5a8,50e68f39,cc7ca2fe,2f38b5a2,ab0bde8b,d294c40a,afa898ff,4f084037,6ed576b3,f17666ec,6aafd6a5,6fe7e1b2,ab1e883c,31230fc2,b4e1df0,3f59444)
+,S(26844e02,919de923,3288cba9,a97eb85a,c6939fd0,7cd01e7b,f0d5e1db,e31979a6,3df9a8e,6a5fad1,266f11e,518fb60c,cc08a6c2,832c45a1,6c7c5520,5c9ebfb7)
+,S(11afca61,33a69aaf,27cfd413,becdf9b4,efbe0a6b,1a38b3fd,485dca95,dc28414c,8d4b8790,c0677fe6,22847bbf,8e47b400,9e4678fb,b9c9377b,2121f5ac,db737b1c)
+,S(c46e14d5,2fe25d65,37bbe09f,ce7e95e0,4986337b,23e7160d,f3d78dee,e8d2a63d,a200fdab,4211e9ff,2d008dd7,7ddf67a5,1f04b9ef,43fa1758,9b175d58,f5d2b723)
+,S(570aa12,578afe09,245f598a,210a7605,2412283c,8f58e142,d31d9cd8,d455e4d7,c28fdb61,f8e90de1,d43439e0,8512a071,9a2beda9,5d0a5601,b932c0f1,2cc50ac8)
+,S(d312db5e,88a1cea0,28570b84,e3854e16,224236ac,cfb14d1f,3a33108d,fbc3fa64,ca5e5089,1843383c,845fa0aa,e031c930,64b8aa4a,ea72e6cf,36b617f6,cf97e1de)
+,S(1ee22876,9981670e,14da9ad9,9279f001,c9be5eb8,76224a6d,1fe4ec08,aa398087,62101114,e303e37a,dfe42c65,54460d4,b68603a2,580c7452,6ff31c9f,2176dcc)
+,S(1fb9cacd,e2b84ff4,ae85511d,1c964c01,1700b9d7,2d4c04a9,4afa9aa5,57bb81a0,430b73c1,295c5f2a,d6d9f59f,74201435,15b1306b,2cfa038e,e0456752,5f737fcb)
+,S(d04cc82d,d3cf0b47,69f2934a,9807e743,4a998bb9,fa44d145,f191a176,611c085b,7a4a19af,b551d151,c42cf1ca,ce123dd5,8f4c13ac,c865b92d,15520169,1be5fa9)
+,S(1e4cb208,8bd4d17e,ba8b97f1,f27df5df,8a544f8a,548dde15,712e8704,cfe7e9aa,d805c61e,b72933ec,e799930a,53fda3f3,db066396,5c71be51,5e8466cd,a59b828d)
+,S(520aa398,707a85a0,d672bbad,cbcfdab8,8f769f69,df3de8c7,17d6dc48,de51590d,98d344e4,a9047a22,c09095e2,f1176aad,3b54724d,998e052a,39a52554,4ee9ada8)
+,S(3a9fe3de,165bef7c,2e0d45a0,60693fc8,e7080ac9,783245d7,a79cac6e,7b614ef2,5189446,fd3fdeef,c7a895f5,2934c888,7607ff49,aa6d798e,151061ef,73038d4a)
+,S(9c929dcc,c26c0805,e4289a3a,2b6d68c9,8e3c6806,43730056,65fd8e73,da149938,6dfbf940,b4c29209,3f39f6ba,b102762a,c81edf2d,aabe6dd9,56aa140d,396ba2fa)
+,S(355b60ce,f4e00651,8baf1e42,e5e7a08b,ee22abab,c69aca66,d117748,89be419e,7f478a3b,b277fb10,5fe0eaaa,cb53fb73,4fc01dae,bb44f1b1,ed146f43,fc2604e2)
+,S(76bff14f,21ad4442,e1389bb1,c11e1019,ea966091,97439705,dfce7bf3,d7f7f37f,3855a291,376aab12,b5f4da79,bc22e02e,a29a34f8,9223f07b,93f6a549,8289d763)
+,S(91bb9cdf,10577a3b,7e23aadd,35883396,becbb4bf,fa22e1db,fa08f8b6,6156b454,ec6cbb9e,4f149b02,edc53e93,d1611b5c,a3edea42,c2ca9a1e,f2cccf25,94edbb91)
+,S(9e56b10f,1ba86c61,36481204,f0c45b09,a7dde7d,4eb32537,f8c310a5,a8865562,cdf3453d,8552c16c,48bca1a3,79ee8c6a,8b523eaf,d1862d5,16f4361d,5a8aa67c)
+,S(4e73594d,af286bde,4e6e28a4,23930571,a11dcb75,4e9a4af5,f4972d,988e09f9,a59f23d0,70c042ce,e03d812c,ea274035,af0d8e53,828a418,cd1b51f1,458a36e7)
+,S(156fdff7,e92d89fa,691d3c55,7cb2c614,393d5973,4b11bb1,d9fac953,3923d860,4e929637,c448760c,ef6d68f6,4665023c,bff653cd,23132ee,620eb013,a13b360b)
+,S(f2c8b650,eb372336,5d57a905,23d34db9,70d23d52,1f893569,98b0a7e7,ae8ea03b,bd9ac314,84a99bf6,973422a5,60bde9ec,204488c7,6739583d,72f42a87,181a7881)
+,S(27dd3657,a4a37430,5f5bb92b,a7b816ba,88d526a2,1ae316c,d4a4e67a,c751e3e3,880cfdd3,c0faa401,6afaf3d5,1fe975e4,8a756b01,f7d84e8c,226424b,83be3304)
+,S(f6c25e0c,19f7357c,3cc5d98,1cc4b7f3,7a390182,c2673708,1c64f163,ebb3d1bc,8c80b3ea,7c05a0fa,39944d66,643b3589,29534152,adf37c2f,183e7c22,8e89e43d)
+,S(c678800c,71305ea1,ea2847d3,d9d37612,ae280305,716fdf45,87ac7f4,a7fad4f2,be5ffbf4,d2fb2b8c,ddb49a42,ebeaf5d8,55d41d39,f106e2d9,2d549e88,6c0b63c6)
+,S(f35db221,e66b7786,fc9e2d3a,68f0d1ee,f98177df,a05bfd30,931912e8,13f6d560,4899a808,e6b2040,89974ca5,afe5b1ee,9eccb15,36a7c7c7,bb67cc00,e43f29fa)
+,S(2b93e37d,a915633e,db9843d6,c33888c3,5d944f04,c4074deb,d021c639,93e69de9,eb3d1095,c6ffa1cc,93f72a58,f1320efc,366a4a5f,c7250167,6f2d3c88,4b0522f0)
+,S(818023b3,90454716,f51913ab,fdb406f,e4875b94,8b14a331,60901d1,66091b69,b3f5718a,6224e447,c5af3e1,f38e4f2e,6fe57389,fa7d8990,f98e44c2,a227e7b1)
+,S(1676e6a,244ca69d,b2ae565b,65b14184,6645ce7b,213dc1fb,db33f060,3c662bb6,88e1cba5,deef5dc1,26b20830,d2c7c0d,aeb9689b,16ecc1fd,cf4a31fb,822e0298)
+,S(2f931a1,a92537de,38629d73,323e2f21,d9657454,30e32e4c,3912cb21,dc298d54,93292d08,6fbc0fae,eef6fe43,f5626711,95a5b2d1,bdbbccc,52e1dfae,a30ef904)
+,S(7ba4d612,f0dd8c91,8bff20d9,b4f45486,be8a32c1,122601af,2d1730c8,a1fd0279,8aad7aa1,f5b06431,b2e20af1,4cd049a9,3018e3c5,bc4c4310,d0234e78,d2401179)
+,S(e8dfab0,85fe7a91,6a79b2be,723799eb,d6974d08,ccc8e3d8,5286aa61,c81d5e78,2121686e,519db556,e6595d47,a5487bb8,fbaec53b,b18dd81c,37dbab40,6e3f926c)
+,S(7d5623bc,b1597ef4,6f907106,17eb2e6a,ea751da1,5535a64c,94c90c9a,d84ab5e,dc639f31,8004c4de,31514b70,ebe2e8b8,701b3cd4,5d66b7e4,204dcbc2,a0ce7575)
+,S(8e81e2d,8074bec7,48986194,b3b82200,1e4ac916,81de2ad5,7b9c84fb,88a7ffa3,4085ec1d,f4a34480,ca56f6cf,762d03f7,fa94e99a,8df93e6c,dc781499,59fa890)
+,S(a9d5a3e7,8290ee62,5e18affd,169c6829,73e68ac9,2b5cc52b,53ed3a85,a68da71e,1cdaad6b,f9eb5889,5189ed29,8793388a,8d6e8b20,ce47a536,ee89be4a,b4805fd6)
+,S(4f7c17ca,bcda7c0e,3b7b313,4312f848,984985f0,e46ac497,d64b123c,57dba2cd,860bedd9,5f470c3b,f3cbe7c1,d5070cd0,c877010a,9baa8f5e,888b5ca8,a34a25d7)
+,S(478f3d7a,9234a7b9,a91bd016,f55734e9,34b8c3c,535725b5,b4fbb0ab,9fa64921,db97a394,f0253f18,ebabca05,c21e9a7c,3f253054,d83f2101,8ffb4d93,b8051a1f)
+,S(ace7e57b,73d96e7d,69f7cc01,b1da179f,3ea09aab,61fba329,f2552eb1,fe7963d5,fa0251f2,2b8dbd04,ec90f824,be025965,7e213e4c,1030611b,796efb89,26908918)
+,S(cd56e867,f5170771,8253757c,dcdf69ef,4401f2f8,a1d09f24,374040e7,a908d1fd,878f7216,52cf0ba4,8a2b29a2,2f620c7d,83e4bd84,277b7b90,a454bba2,7f338fe1)
+,S(3042ea5c,d9d2f89a,64b1dd24,97b25da5,67a2c672,ba067e33,e923e513,ee4d5329,b84c144,d5516a14,a0a8568c,d6d227a2,d3fa1d86,8e05e612,81ce41b3,5a68b1fb)
+,S(55e088d,a094ed26,82b042,bafa0345,30a2e291,57af3f1b,ce351ec9,9e712ec0,c6f8297f,64398324,96091933,514c5449,cacadf,82d51db2,82c9d2e,c66b33e9)
+,S(bd2db13a,69dd93bc,a37f9181,7a57a0e9,e0e0da83,eed71875,e63b4691,3b408966,46e12660,f9489b2f,123c25d5,f65b3f8,187ee6e4,405b8cf8,78a742a,9b0da2d)
+,S(7d7a5110,cdbb8455,5fe678e6,24ed1a14,ef7c5219,986a7ecb,6095624e,7fd3d210,c9578dc3,c0a54524,f819d640,abaa4a04,626a46da,15c0867,72774a59,6ac6c37c)
+,S(1ef12317,513b1354,2a966981,34edabc6,fd4e6d29,1bd7782,5bdb30f4,937a3fa7,e0e4b688,a391bcef,3451cee3,36a8c9f9,12319899,4684c039,909489db,590e1ade)
+,S(effa0403,766fb976,dbec6b2e,332d2f12,9f463b86,8b9a1d19,49d30cea,1606baaf,8c5b1c83,bf3efa64,f38de1b7,da03de17,b0cbfdc4,5b4a03c2,38221def,bc1cb082)
+,S(dc9271e9,76a9a042,5565f022,273af5bf,20bf780d,9d0ea069,df5da661,a087d65c,dc8679e7,b27bd30c,986f11bb,1c73b76c,55ce7c7c,621490c1,944cd8a6,b63d6063)
+,S(ae1ddc2,1e1ca02c,218f6946,275501d6,a1336b93,ddb1b2,384ab414,b8264619,21c6b39d,300b6125,ec8e5c8e,19aa76d7,32466bc9,a887c76a,1ff4220,7db26b48)
+,S(aea2c00f,fe5835c9,2b892480,83164635,33dd989,bf2bca12,85cce3ab,4e82cf5b,615598cf,935a6112,42a20e84,e670b193,9aad65d4,53ba967,3e8193b2,93dfa97f)
+,S(913d0e16,34b43a86,f55b30b6,5914767d,b45e723e,636c866b,6348c8be,8aebf696,e14c6607,51affda4,d02574af,43172024,39c0c10e,148d4305,1487a5c4,39971a9f)
+,S(4f0b3354,775cac80,5e0d6191,6bb0f9c8,40fc163d,8878c05a,301252d2,3bc26fc0,b0b75486,3aedfdf8,3a6eb2eb,5f3e25f1,6c0e1077,6e855ac3,fa8fc3f3,bd8da1e3)
+,S(5da21940,73cc978f,7673b2f7,5c65ead2,f469df96,f80883b,181a3da4,f316129d,8516d080,743d2670,570d5e63,e19eb543,237b1db,6285b1ea,f3bc1459,8ef311d1)
+,S(76e1b330,ca7af91a,ccb92fb4,63404d36,a8fbc132,269d163d,d4beeed1,6be74a23,10b39253,c5908ef3,ec96f2e5,2ffa0dec,2ce2800,31a791,bcaae0de,1e7f5326)
+,S(c4be488b,2f210ee1,82f91263,78b23359,8fe8ef57,671ddbe1,d76975d0,ee393e64,bec1392f,a1a09a54,480beadc,b98ca024,b910cd70,f807eaee,10d4e270,bb79f449)
+,S(546918d,a141fd77,b1f13848,d3d608c0,25f5be00,4d36a542,56d0ca5c,9333ff37,3d1d4c7,9684be1a,5cf00d71,6cf9a1bf,b0b82ba4,833704dc,c2d23e8f,39914ac7)
+,S(cdfc6fc4,2c51ebd1,2df368b0,98ff0f40,2e6df8b1,9c67e10a,320c1960,266078de,5985e930,23e5264,547bef45,6b3774f3,c2689411,b6f7463c,febe068,fd89cb0d)
+,S(7730fccc,593b14a0,6f21eec6,2408e146,36f0e4b,4718ce99,c99bbcd4,7cf03034,f17d0fe2,736e412,9c30151b,492aa7dd,52beacb7,6f97001c,cc28f991,3e016b72)
+,S(8aa4c3de,474308f4,674c7b55,9f895bc5,d855a7a9,5fadf090,5726b354,7941b3ea,f275c44a,eac2623,1bf4ae9a,df403ed2,78d9da42,150c98be,7dbd5f71,5cb8594d)
+,S(15926da4,97a4e925,8976f87f,f8940491,f32d33dd,7855b13c,5cb54d10,d325bb79,15ac60b6,5b1ebfa8,e871bf67,ec9f71b8,1aa03c78,82880d40,d35f16d8,67ce8e51)
+,S(55f4f4fe,aa741574,79462b48,f001688e,fc99f545,d4566dbb,35faeebd,f5b1710d,80ecea05,63f24c84,e767b894,57dfec3f,d015a4ad,b6e3fe0f,662521b4,bb02d15f)
+,S(95a56acf,402f7f33,fa357c4a,e4db337e,f04a60d7,4cd73e0d,b137f68,e0e93cee,e72405bf,b7c9ba84,16f4e72c,a30c9ae5,d21c89e3,ce5b61a4,bd521b4e,ef6501fd)
+,S(28a9fd90,b50d7bb5,13034b7b,c36a9783,c2a697ff,499bcd6,4b0881ab,8e7a2aac,76b151b0,5c7e7ea4,9a263596,81508781,a37cfaf5,14fa1720,b583faa3,9794a788)
+,S(6406dd13,6d6462c4,a4116b93,eac38eb0,b571e2d3,99cdb93c,b36fa5ef,e734b672,3974c77b,92b8e614,52d9c9d0,62a911f9,b4c5eb1a,977da74f,defea358,5dd7fd1e)
+,S(8fd8f23f,cb62e1c0,94fef903,9933747e,9d40c37e,376703c2,e3c8b666,f1066529,8b0b2f9b,de10175b,24a9099d,75926296,5ba19013,20912baf,3100e057,d4ab5c8)
+,S(51780a2b,d4457368,9c0679bd,c8c94e43,cc525bab,2d2723cc,3e0eec15,63a1a24b,5026cd9b,e178d1e,c746e5db,29391c4d,4b6b08a3,3530fdfc,64603fa2,f0e01109)
+,S(aa01493a,e7c7f9bf,3d2fe0e5,cd939dca,5b8c8534,6848d065,beeb42a9,8c283561,a08f0b45,4a42b5e3,6463af14,5199e3d2,1783e908,b3e130f0,e9e88110,2cda82d9)
+,S(cd8ab749,d4bbe6d4,ac81c4fa,d6a27e81,e4456d4,196cdafb,97fa6053,18ceab70,fc6c7739,bd68a20d,e01c9249,3cd7ad3d,ca862183,b0529231,da32f1b8,5df59beb)
+,S(e69cdef2,e824501e,7a17bc54,e0bb4886,379f56e1,c59a27ea,e00bec5c,55fe3e32,e80ed10,40375398,10125338,f6291791,3fe735e6,6c4bbc80,f41d858d,8ac41cd4)
+,S(5a4e72d9,182b1f7e,efb08af1,9e3181cc,f6b6ec69,790184a2,f30188e0,dbff8a8d,2d1cf7f2,d5a857d8,3b31c588,5ac33a5d,7b62ea62,7b5b0bee,2d912502,2df9da19)
+,S(9e000859,48bd6211,410416b0,3920a79e,d78f154,5dd0330a,8f23d1b5,f8984a2b,36ae0492,412fd3c,c230680c,edb0dfc8,151ab85a,d8d3338,db611674,c88e3f62)
+,S(7e0b97ae,b12f8734,ecad35d4,aea425c7,99f88485,f0bc8d18,ac82f213,258bc6ff,e76f4e24,a4be1b6a,3fc3b0b8,ab0b6e5c,ab95fb40,4692f7bc,cc7640b5,69f3946e)
+,S(62285cfb,1bdfc495,dca81ff2,867878fa,b3064be5,81be0c86,b9336c6,61038ee2,f2c91be4,5f60e9f3,40e85ea0,8f159dd4,a65ca8d8,21a6e4f7,71f4dc17,849b5161)
+,S(70234e81,2de1b5cd,699870ef,36d5c19c,cd3765ba,eef3cac8,6f126a,a6c82623,e2dbf98a,f92a777,263f3c92,4738ba,3140f769,fd5b6ec,7139bb8,41330736)
+,S(ae770461,8f31d5cd,ede40ef5,7434b0a7,7dc1b4e6,7f4be5e6,136978a7,cd5db07d,a4e25164,65584487,3f520e42,74037c,5cc43e12,95167b01,d46d3e93,d93d16e6)
+,S(cec7ac8f,e4db698b,48ab78fb,768e6094,5b7f4ce7,d643e604,9e349b6f,246f2b53,491bb545,99330685,433bfd2a,7a4fc831,7f5d3cf4,80d6bc32,5ca6d001,b65fadfb)
+,S(80276e96,b051e49f,276f62e8,35622979,852e4cf,c2ff8665,8db4d5c7,7c5eee36,f510d696,882589f0,870d526e,5f7513a4,2c4d4ce5,3733f30c,f06d7dc4,f42f6d9d)
+,S(b19027d4,9d85faae,e6163934,ef8f8508,e9e351c9,82bda741,b8944317,da85b27d,c12461cb,dec0e69c,b378443a,f2eb042e,8439f812,205742d6,dbabb372,ea47a824)
+,S(57599d4a,cf07c001,d3d3fc78,aae147f1,989c656f,fbc43081,29e05b2e,570c792c,5cf8ea0f,d215ba16,e18e181b,1b4b4f02,38b57af3,9010ba23,f13bbdc4,18514b0)
+,S(5ab76283,fa110b82,c53cda2b,653e763c,306e6f8c,2b07d490,bad6e418,eae6e4b7,ff365643,cc2a78e3,17a7de95,b37b3f83,aebe8272,4162a884,f7437aba,b55e8ea0)
+,S(7b93d9e4,8602d7b7,ea52dd45,fa0031de,66ea88e4,4250c898,64903e7f,959d4a85,99ccb201,5ab91fe9,a0f50a0,fefad6c3,f6dd060,1f2ad099,a4851d33,162b52f0)
+,S(2d5878b6,af642776,41101be7,2b37b4b9,1de26a21,b9610a93,7ee2ce2,fb96ebb6,138ee05d,df4b004e,820815d9,46716f2c,a887066b,b7d218f5,47d4bd7c,2cfc585a)
+,S(1d637068,eebc32da,24a0fce,2e41cb57,cf1ccff5,38cfbee7,ac13269c,e560af3b,6a932df1,a2896445,6685ce54,2ddca0ae,d589a494,b7ee89ed,1b4ccfd2,c276eadb)
+,S(82babb6b,460e1235,f3187a68,912b057,26a478ef,fe929a3,9479cf04,467de64c,3a9f4e33,603d0396,1f3c11c,94d58369,5de43a1a,327d0faf,f51089e1,1345647f)
+,S(ae86e71d,4e715bfd,b63d899a,9daae610,a01c5134,c1b9262,c276dcaa,b48090a,3564b48b,fcae8f7b,feac4df9,3b458678,6f2f9e83,9c9c6126,a301de29,4cfd7b5e)
+,S(35a5c2fb,fc661cc3,f4ad6ad7,f1eb32b6,664c50bc,91f4000e,f5774364,2aa413e8,4a5029a2,887f6648,3e072782,68a81c85,b901d692,4ccae752,7111bcce,cad6cde5)
+,S(386bf07f,4dd508a7,61e7c29a,dd251d9a,76324496,6c6d760e,cbc6b069,5858e2dc,d4f14804,9c1fa038,1d903e19,68fb14b2,f07c621,15a81f41,e811ad87,de407696)
+,S(dfec381c,9bd6f4cc,50ac445e,c9104d87,f9c46c7c,cbd70909,fabde6aa,12346f96,5e7344f8,25b6649b,df97ef3c,ad96945b,d1ce0f76,a48b7f2e,56ccff02,797553f1)
+,S(3606dcc6,4db04cc,5493e0b7,ea0bfc2,f8a24302,d2358aaa,7c1ea8,842abbb2,a5c8743b,bc4d9b74,b8b569a1,feca3667,87eea8b1,be2025ed,bb547e78,5687301d)
+,S(3441e737,e19096e2,9a3025a4,71d192a0,db086038,8e76d2b6,66052825,e52b0016,6d10f7e,d5cac98e,73c3ad47,bb233a39,5eb9bd4a,37861b9e,7dbb60f7,81eef0da)
+,S(b2c97c2e,460d8c34,b5ea7a5c,456a9cf5,b1d902bf,5cdff030,25410a,26636e99,67133081,a8c8ef30,753417b3,cf6973e2,1f151e1f,27216bfa,23289ea3,e2057b7c)
+,S(2740bd8b,59a43ddc,f8ffdabe,d59027b5,9b7932b7,3db45a97,3b6c1501,57e045fd,8106f2b1,f69f1ad4,2c0787a6,3c137753,987aabe4,b0ebd82e,1ea7807e,93b02a85)
+,S(a1acffd9,bdbd94c0,cd8b4f40,3f9400c,aaa8e269,d8cc49a6,9ee565e1,89b6c21b,62ec7d7e,733f518,974acfbd,4f4e4f44,bcc4fdc0,cc194a66,df7c16bf,ef0235b)
+,S(50bb2ad6,8d524acc,3278c0f1,538d3aad,9a5357bd,332d8cff,6301f417,57349847,d8fc33d5,d03526bd,b97d4c6e,1ef018ba,ba4b33e5,9677f139,b8535287,fbacfb32)
+,S(ebdfb262,6031b4fa,d675e860,12288101,948e2ca0,8fd0d32e,c9fd0838,5f4fdbd9,b078066c,c470113d,db3964e4,466e319b,4f853a42,8951aa0a,9c4629a7,a40dbf2e)
+,S(5daf4c23,65482a2f,bdef73e8,208fd5ad,d57b35f8,171541f6,3a48b742,e98bd48f,9015bfcb,5a248607,f5ffc83c,4fa3dfec,9cbd11f2,c230327d,b2cc75ca,2e87f967)
+,S(22db9c20,5d840814,67a19517,f353f825,238c905f,2b12a77d,8551cc9,ee8533c7,680a1bc8,23432a28,a3219264,2b9acf0e,7ad19e29,b604631c,85f7038b,386dcdf8)
+,S(404435d1,2e8be51,92625213,f86e6e55,9fb44658,44694d4f,4db72861,d4c100ae,9ebce682,b321eefa,e8e04776,8f82491a,dd734e5a,941e0f4c,b6284f78,6d1586d1)
+,S(dcc36eff,6831a6de,f8600d1a,3d52da1c,fe59df9c,cc69c9f2,60c26532,e837530f,8609b5e6,7360b7e8,5ea98c13,578566cb,b6b385ff,6990d4d6,5b795acc,1f77a893)
+,S(ef0dfb94,1a1c383e,4a44cd04,c633cb48,e991d140,45e2d9a8,b4353e79,9c1a1514,2685d60,f2a75f9a,b733afab,f693ed05,9c3599bc,3e3346d4,61e5c86a,f76f6f42)
+,S(24884cfd,c6c3efd6,b4d2e18f,2ca66b06,410b0fba,d9d61b30,86abc537,1d766b8a,7c1cdc85,66f3daa7,d395c6bf,8a23c130,86a78619,aa68519e,4657b17d,ace2267d)
+,S(541b6691,c7004a81,2c607756,f81b6f05,485b0708,678d9a45,de74632,4acd8b20,ddccf301,8a3c429a,c749f0d5,2383784,cefff3df,ae98517f,c7f5e764,c5c609d7)
+,S(5462969,67262e3f,a905eea4,ff1f8296,f792cfc8,bb9dbb9a,138242c1,a1fa822d,63012289,8e429527,4fad8e7f,9865659f,da2d7370,10f6e185,70dadbfe,21e6880e)
+,S(94070912,ad2c129d,cd122bb9,704616fc,3ddfd949,6ce9f6d,6e18020c,ec848e83,9c3b38e5,6bfac9f1,4c901080,b5a732a4,b5d261f8,2b571536,d1fba6d9,b714017b)
+,S(2a6330e4,8ddc661e,afa8071c,c1417b92,ea73b060,3653a017,3edb92a5,6e3ca6c9,b38c51cd,4754c350,ba2d56a3,fbf4fbab,5802bc38,6b5516f3,d8b761e3,c3fc7d79)
+,S(9142e493,5f95da17,5ae4078c,5ff5a7d4,8c418c1c,7efc4c39,dacb047a,d3f7424d,15165a74,c47133a9,e8684ea5,5a4f9b05,37d0ab7f,58a7eac0,e698adcc,b885cd05)
+,S(2e198b29,5cac4dee,dba63ef3,888d47e8,bb8d372,7fcbd69a,d1eea656,ca85804d,31dd5db3,e700ffbe,152b0c2b,1b1c830c,eb382468,1c522e63,676b9ec,6780fd52)
+,S(b44e35e9,b2efcafa,f123e52a,7bd9bc58,32a671e2,fbf0264e,5a3f536c,b272f72d,8d489fe3,beb39fd4,2632b80a,1243e64b,f80c81c1,3934ab08,71c16a5a,5aa43423)
+,S(dc99ad01,e1324b6d,b5ecf365,c22463dc,f609f0b5,90e6d3be,efddf641,b83a3cd7,b4b422ca,2feabeaf,32c0ad6a,4393c087,a4c1e794,47a043de,cf0fe486,ed11b682)
+,S(e174838e,eb991c2d,cfaaf89b,b868f4d1,3029ebfc,ea286376,48fc51ba,f962a359,f80dcc87,27cbddc9,4bb1b60a,4da5cc74,238dc62,821a9ec7,c05ad2a,a0e7570b)
+,S(6240358b,15bd16d4,42cd79a4,8b739eb5,4ca21d18,b568b497,65d10dfa,a2583d33,6acb054d,724e7550,ed6d8caa,8a436d51,fc546116,df33413f,a613c0dd,6cec2d00)
+,S(a757fceb,560aac0f,543a29b4,bfd3af7a,aa61c077,2c1c07b2,e6268342,e63f8d70,5864ceef,f80855d0,fb4713e2,7bc6a202,b4c07450,6749457b,39d0c40c,f40352da)
+,S(f36e1073,57c3149d,902e9416,2e509d19,d4b1f498,bc74814,3a1bd411,2f777bba,d4d7da2d,139a2693,e40d9396,76c3fe48,45f74b43,78f0c25a,14aa9698,3bd1993e)
+,S(84ef2d4b,55a40ff7,13934949,b6277ef0,4a8e0e4f,cc49420b,17269d59,224af99a,57affcb7,1d3508f,65ff2b7a,b1d6752,60465e76,754efe3e,80a83085,85ea73a6)
+,S(138ef64b,274ff66d,7defdca3,4ff28bae,96b046df,408b3f47,84f78784,3fce7576,ebdd04e5,1d517c43,412010cb,d03252ed,dfe97912,ee4a7d4c,ed98551b,fee1ecf1)
+,S(e82f03fe,2ba05692,212a1145,550d3057,2d454728,e2d9989b,435cb608,3d1f318c,191a6fb9,cf295881,92aaaf1f,ea34e123,613b2937,602650f2,eb25f63f,5812dcda)
+,S(56a68400,676b6fac,7eb5fb3e,7f345ec0,11117098,c0d1a96b,e44bd2c8,5aafb317,3a41827a,5ae1b7cc,5b9dcb5f,4c41819e,f49ff2fc,ce1d1949,3f5b0ce,9f1dfb4e)
+,S(82f5747f,1b353db4,f3afe255,e1f2660a,8f735b1a,e40a5008,4efa3c32,dc1309f5,42e8b903,f4ccc01f,7e87e4c6,71572bbf,d05f9ea2,a4cf7bd7,dd5a9906,264a0144)
+,S(89136941,c47b1964,a4b89e0c,376b3136,80ef76c1,19e02bb,bfad594,76e0cf13,b3a2a785,fb6a564f,f4871bc5,177c635,d722e659,77f621a,f6f7537a,2c2d3f3b)
+,S(c6250969,c98f580,f0cb51,eef5d8a1,b9954bb,97671df1,c7360a5f,42238909,83d0324c,915eab22,4dd3f935,e197e0e9,552d5bd9,6b1ed240,219731a3,58ec724)
+,S(e2399ad9,63913200,4664a481,dea99d85,ad12938d,dd0e4184,27411fd4,8fc7e3b4,60fffd62,beae28e2,2ea836ed,389c3780,5d8b1fa1,fb10f298,f9b54df8,93c69d47)
+,S(4d00b1c,186d2992,9a6383d6,cc8d1796,a59c5d7,c27cc7b8,5a1f821c,3003d959,8752ead1,27eb19fd,49dc8ce7,a0b7c7e6,dd4aa3dd,6f8d5cb4,687327e8,ce487640)
+,S(344663ef,8b8b52c9,1aa548e9,8b7e1c48,933cbfa3,59644318,5ea973ae,9264121e,73d099c8,9dfe8eec,b957e624,bea5673,6fe3885c,e2f72b06,dfeae760,514d9efd)
+,S(37ff484d,dbd22a98,333038d4,7949b4f3,f411d3d5,7ca319e3,5c788bbd,a0de6648,55a5394b,51618d81,d2fb1455,4ec1f5c3,a45cf086,83980bfb,a9aae6a9,20547c67)
+,S(cf3bcddb,ad5066b,909339d1,4cc6d3d8,d2881f70,d6f12e1,4d795b06,17556ca5,e12686bc,99e20f20,6220e402,32760224,b61b90f7,8b7c0b1,3c197a47,11678a6f)
+,S(961d02e7,db8fd1ac,a38f9110,13d74a5b,d35e47a1,49818d41,49f02edf,5da73402,9462eaac,d698677c,16515ca3,bff217e9,765dc8ad,fe2fa82a,1db05158,71fed240)
+,S(43e62f90,574a8e65,25d22ca6,74814ac,3648b724,45a535c,5e1af97e,b46ec3ba,6def0a56,17c1cf17,9369e20e,d18d0503,e141dc85,9edc73a3,18f6a35b,3d939734)
+,S(9e682b79,9d79018c,352113cf,98de93b2,457e4b4,a962d160,33b80052,57dfdbb7,9db9cb16,bfe96343,89c468a0,6405d2c9,b2983354,ee9a81e9,3f23ec5d,5049041b)
+,S(790187a7,8079b59d,b2a22d13,8520192,5f9682e4,2002c8f9,436876e4,d5a1a8b4,25c8b46,f6b43180,3654381e,56a8e6aa,ade0ad1d,6a6044de,17e9592c,affa456e)
+,S(928a4b8a,6c744b33,99e22d65,35a21ffd,662a0dc3,d5bab1d,683ce555,f0169583,251fee84,c064954b,e1daf7e4,5fec87a9,323d55f6,687fdeaa,75d4dcc9,9a6fcf84)
+,S(684e88da,81182f2c,ac5872de,8c98b86f,a6ffb73e,9bbfbfde,6c16c3f4,be084c88,c451b59d,fc9d62d5,921ae45f,f7557ab3,ad179eb0,6afb8bb6,bff0645,cf6383fe)
+,S(8bdd2e83,a403b0cd,7a8ebfa8,6949bceb,8e8166ce,a8596f6c,ad7b7bfa,4d174343,7220c147,97f682f8,7d707b2f,eec937c3,643bb359,e9effbad,8ccbc8f,a8177172)
+,S(c3fa3b21,6e3c4952,85258ef5,f921f6b,b7195869,e46948b4,b69e80b0,be399543,eb2044ed,21f6661b,77088050,3026c2c5,5a519ca1,748bb10f,c8eed953,aec1796)
+,S(1c063c13,eb2d2959,379fb0df,50d355e0,195a8bd2,e642ab48,3d6a38a7,af7e63a2,20538f92,d14c9ff6,75c5005c,8c40e26a,b0042874,7f446ed7,cfcf5737,870f2abb)
+,S(60c06797,7b54c18f,4b82dc6c,227cb539,6c6086de,107e3999,81f1b5e0,f31d452,3f4546c4,e3eb11b2,e6fd2617,b57afafe,ce0e8bf7,aacc13b,73755f18,dc98429a)
+,S(fc15cf99,92256abb,cf263e90,a231ed8b,421cdc2b,af185722,c0af008b,fea36856,abe346a4,d9c40853,70dd46e4,69a3bf24,c01dbd97,f5c9997e,27634dd7,c635d798)
+,S(f6143985,18173bb7,428da262,bc8b07b8,1a92b06a,65926ee5,c6f8fe44,27249454,b1d832ef,3a2558c2,d41f06d,4be8e5e8,11fcede9,9cc784aa,b9f3ce18,d701cf84)
+,S(579458a9,62218442,41e68542,76a116ab,1f1fd43,109d4bc7,ad5216dc,ee61b5f5,33e56474,68c157c6,15cc8d46,135bed70,21274a4d,97aebe23,7bdd4b61,2c53e2d8)
+,S(637553dc,b0804132,b5562678,fe355e8f,abab2001,fe17e3bd,8c051e7a,41fe62e7,28bd6dc2,ad586e1f,f1a6a951,167ba14f,6989b296,874e0d3c,31917920,9b572dce)
+,S(eebbd70f,6f64855b,e21ddb92,3e54f583,89e99ddb,577fa8ea,66c3722e,b580e2a3,3d1b6979,15b50345,4a55606e,ad3ac4ec,7c986698,3df60e1d,edc86827,32fd4d68)
+,S(4ec8931f,2bf4b1da,6891135f,37791236,3a6e888b,6e5c5ddb,2e350e42,686c56fb,d5f6c679,4c2b306a,bd719770,48dc3e28,3cbab910,556919f5,35d9df23,56a09bc7)
+,S(6b5a7f76,fc5b7e7a,7d84deab,ffd5c771,8f49375c,cc4dc1a7,35bc253a,bee9730e,1e935dc4,8fbf5f6a,b12562df,11855757,9eafb8ab,f6ad8b7a,f8f9df64,43b58af8)
+,S(2a3129eb,f620958a,4264c759,17e29807,5f5b73f3,21d4cf27,683e4788,9e013af7,e940f5e4,c1fc28b3,fa346ede,fdb8ac7d,4066732f,a6c276c6,89a1921f,d1020da4)
+,S(8bfe81c,e99443f3,78307f34,5bf2c826,94a8723b,c4836d12,4c6f5163,bb28b5ab,58b16e27,857e5faf,9768edc2,68d177a4,87de9848,52e65348,36464ac3,f0433c71)
+,S(47820cd9,449c566d,2d39daf3,ee4d356d,5423692,a050cf83,1c1337bd,8ad61be3,48dfae03,2988a810,6d069d,22f27445,1200d38c,a9aea665,5e5f28cc,9952c2e4)
+,S(2d7f03ce,8e453605,89d221d8,84c3ef28,f9e8dc52,41d7d131,cd6e9921,55a934e2,8414b3c0,5a39f38e,1f14d55f,e28604f9,16a7b272,6d6c843a,57a2b8e8,b7ee9c72)
+,S(83887cec,919d8c86,c2150d4e,e842505b,f5a5b06c,b3b1e67f,1dc2005e,99d8e37b,fee0e7cd,f5c9eae2,78d34fe1,2e58845f,fcea9de7,f9883e32,7a2ee941,92b4c009)
+,S(519f9e1,138bbab2,da8c03f,565c3fe0,a9d0b709,1a7b50f3,f37df191,d1ca1e24,64d6bafe,2bffce42,3f631ec0,781e96f5,ef6cd6a9,ade6b9eb,367c036a,1a61ba9e)
+,S(8091f78f,84bc74ea,69ade208,72936152,3946ffe6,63edee6c,3cd13ad9,4a8fba61,1aaaa58b,af84688c,1cba5d90,d700aaac,6765faec,39e7a212,fe13a9cc,b0bda1a)
+,S(50abc00d,d3fe5748,7c2a5343,4a36f10d,8388cf20,56cd5bb4,9ed8e97e,7adb3afc,ab8bad95,14b6040f,b1c64f01,d9b9db01,670fe0d9,3add5d6,8a80e41d,8ded25ea)
+,S(a9a428bb,4da01f44,a9e4f253,3436ae75,20e5722e,6d12931f,aa20772b,36a2f110,ba05121a,1830a26c,440f0582,2fa53e20,f8c226b6,85b437a0,557c8450,774c0c5f)
+,S(d7afdbd4,6314d677,727fa11b,211e99a1,d6948be5,b7753ecf,64e9b1d0,ac7a83ce,b5f8b97d,748a4abb,a390ed9d,79cb42ab,ee9b2afa,517288f4,80aba1cd,34e21d04)
+,S(2b6b834c,d2b54466,a3d41694,b672ac55,13f19b1a,d518ba99,d622abfd,9b6de265,c1922593,ddc0b3d2,ad1d52dd,3cbeb2e5,74ec849b,892d9df1,87ccec50,7ab9b0d6)
+,S(f393cf4a,d7f93fa3,1596ef7e,a9c11c6b,f29c344b,1a3ee5a2,51360c9b,a96ac8ea,4e811ca9,de67ceeb,90e48016,30d06125,fbfa56b3,35e3a7ec,41bedbaa,7a8133e1)
+,S(bc3b9250,4e14b254,81305012,a248a94,bbc546bd,52fbc0e,848d75e,9c8f418a,9a52afc6,f8b487c1,7653a911,f11d78c5,8f5eca38,c761a2d9,af0ef2ad,a6a58223)
+,S(2f5a0e73,c601fb8a,7321e170,4abdb1f7,e71edc3b,bf6f9cec,1467eef,5f6055c0,d8bb1d0d,142d2cb1,3b9d97f8,f807212,b79a5ecf,13d942eb,c5a3f442,6553e393)
+,S(b83e51e3,b4fc69ac,84d099b9,6916c11d,8d8d8d7b,f5cbe15b,fa13ed34,73a54ae8,232e0f88,69c53923,22018084,a7cfc251,daeb7a84,6e1daa78,f3f365c2,ca3dda5b)
+,S(10971993,50b07a32,1532b372,2ee89058,e90e9b30,5908cc0e,a249a40b,e7516377,69a0b67c,7bd55a04,9be3a3a5,e308799d,dc735f9,ce56ff67,2c796b6e,5a0a1055)
+,S(dbeef75c,c95d5018,f3d71711,a0299dd2,62250814,c1469647,dcb27a23,e85c4477,dd4712cd,16334f8e,2baa6855,6c5237f8,676311e3,1cbf9753,35e76a90,88d66413)
+,S(28cb1199,2bdee938,f3405f18,537b410f,2723888,e4ca0d29,d96806d5,6baf114f,e6c63fe,bbe5dd81,e3a9fc1e,83a5ce89,c3e2ef6c,c2a57fea,695ebf4b,e81e5aa3)
+,S(f0a2df0b,64efe99e,65f9f176,89cec5d4,caef385a,e4676da3,790ba2e2,4e9f60ba,a7ca7e08,b900f664,14498c12,aaa77da6,6a2520,7bcf1a85,713b6d14,807a4519)
+,S(d1bb46eb,38e54396,dc7ad4f,f553106,54fe9b06,9abb1410,799dffe5,482b0f00,14b0619f,e08830b6,d0a5463,96826b6c,d03bbd2c,af930b14,a031f922,eace4214)
+,S(27bd2e56,7705126a,5f5adb31,ac1d09a1,85d74002,c548a84,15c0cce0,1f69517a,12203dd7,cba21cd2,9f9ce428,a8e302d7,202690ad,8734c08f,65578192,a5468d32)
+,S(6b2cc790,1c72e201,693835ef,ab2b676f,55441add,b8dbc3bd,61d43201,bfd21d9c,59973406,deea0493,daff90d4,b62ff38c,6690bb05,18e75560,1bd5b3a3,4add7456)
+,S(75e85c3f,32f953c5,632a8bcc,6bfcd6bd,c63c3b93,e607d267,5df09fb5,94840f27,22f5a376,8714c73d,96b24f89,d426e668,bc59aca0,cbf6dc47,723f01ed,6cb6bb30)
+,S(d37a3071,969e152f,41c0eed5,7e28f1e6,f26e1752,68c52683,15e200b9,f86d56a7,53d52726,98751d1d,dc4b1fb,d9621723,70e296c3,b47436d3,abe20356,76ff6181)
+,S(715bb304,7f5e6973,36546640,8e183bb2,67693198,94e341d2,37d5101e,a7414976,28440f5f,9e82d5e8,7a5ea672,2e95c3d6,a89dd1fb,3d81aca,db7609ee,a1a968d4)
+,S(f72d142a,4f5b1595,a7b4a52c,c6812ec2,8e4924a4,b087c139,68d8adf7,dac642e8,501b644b,b5d8042c,f16ab9bb,bc594c14,585486cc,fbaf47a6,5378f97a,761087dd)
+,S(7b3eff8f,b4ca8a3a,5fc3cf02,a469f34,3840846c,d8fbff28,243b962,c1284c26,be2588fd,15396124,a50bc555,5e161022,3bbf636e,fd510522,811902b5,b1748579)
+,S(2441a8d7,71fbeca4,cd365225,7974e4cf,ec2a7035,ff2b58a5,9cc5fc37,8a113dd8,54b0776,5316713,4bbf4c6a,7ac23360,fe035d2d,9316cfcc,ae129893,82447981)
+,S(c20fca4e,d05467ca,45b916b1,2f4ab386,512d097c,b64b824d,e78e9a2a,14cf7591,8851acc7,96ee4072,ca87e69c,9dad10e7,931fc48b,238cf46d,2b2355a,e4eecc02)
+,S(2f6b0e8d,1375263,b74e415a,ad758130,a34c6c6d,690ddd67,63492eb2,49ec8e7,d0c791f8,438cf6a7,976cb614,eb4c9f67,adc72275,f6236868,e384d538,daf25dbe)
+,S(bfafc1be,426f056d,6f8b3ed1,1374db21,fc00373c,3dd8c762,c5ab91ea,b2b665dd,9c41f297,a4cf003a,7fa7b071,a106da4,6dc40050,a7592781,68436115,150e2a2e)
+,S(cf711dca,90560273,6d776f86,759d74f,895980f7,1728dbe9,1df93076,cdcb4e8c,52a379bf,cf25216f,e3556def,e889b23e,2f91f6a6,47ece012,4e140aa7,734f1cd5)
+,S(b9be95de,27aaf198,c3001ec3,63690f2f,f516fd75,1864794e,1c3516c9,abd1384b,68875f97,dca1dc43,3e9b614,488cb8f8,1ff85d58,2ba853cd,27fc1227,1ecb6df9)
+,S(f5f257e6,c4d06a8c,53442b37,7519ae03,7bec31b3,c257f331,fff53773,28e9638e,b6a1e60a,48d03213,bb52e3ed,d20d0ca,c80beaec,bb40169e,35ff2165,43e986dd)
+,S(fc35c74c,17e38aa1,15803603,30af7d92,a5281b3f,cb6cebf9,df09155e,64099ce7,6e2f984d,41e8693b,5a4c1c58,9814d131,8421fbbb,2ec8e45a,c6239227,db79dae9)
+,S(ac135e01,49d97363,7405e5a9,89ffaca6,c1bc18a1,cce34aa7,4732fcce,d54384dd,3e38bacd,ff954a6b,6bccbf63,9f8d709,d8e54553,6113dcb1,c471a162,af021d0)
+,S(60a013fb,efb3c5d7,802400c4,e791a019,bfd8f657,cf4c1055,f3674f92,9f5f345d,7e763c48,3582fe3e,2a0a5138,ca320013,9907e364,5468b5b2,711205f3,38a1bd97)
+,S(a099a106,5d907a8a,43a3d027,3a789992,ceb3a659,bef93a9,6ed04ea,19a7acb7,137f9ffb,fe3c22ff,c034bb57,9f0c9b46,d5cca4a0,db1407db,6fe3d7b,5bc5a50d)
+,S(9ba1da86,d02763d6,187ea5a8,c11c9da4,c6ed7017,49f107b,9ef4fc3,94a792ab,f19e22d8,ab5459c5,5bf87908,90175184,8716aea6,5c2d9650,c472199d,6663f741)
+,S(3642701a,d30d1430,17be9363,3f28d90d,b5e02238,9350934f,63a514c9,a677ada0,2fdf9ab9,c76bbbc6,c4e79f48,7a8bbd86,6432fa98,4f52ac22,3440de3b,f1aba970)
+,S(29f79c58,100b7098,d8d53012,e2c98719,6188c0d,54712c31,c2ea3a52,d6941a5b,be9edd99,eaa6c1bb,d0ec42f,586a2806,919d5bb7,2d59bf3,7216890b,9a2d524b)
+,S(e011aadf,bc35284f,816d5030,c3feb350,4b470d0,ac5ff061,e5ed2c47,89ba1bbc,e0a98f93,4f2b591a,36e6ee97,f293be77,21ec1a9,3f4b2700,55a0c01a,3cc979e3)
+,S(a5c8816b,fe5356,37eb54b6,88b9221e,ee06a51,77ffedfb,3ed96ee0,4fd78585,3f86637b,9d63b11a,44897792,9a6aed53,7d65951d,aed6476f,e03be5a8,c9ff8e5f)
+,S(3b952c23,7e44350b,95207798,e708fce6,2e6d49e0,912a2509,abef16c9,c7194707,f784972a,419e6c8a,c9d41a38,57912e66,e6ebb631,6bcdeeda,ff49b59d,bdd68936)
+,S(8d9796bc,d9d8152f,80c7982a,187a4aaa,b75dd611,99f86632,72502f24,dd57af04,fb9b1479,94a31e3a,28d5695f,2d689951,317c2d2,98e9892c,89c98202,b7e611bd)
+,S(96b2bc5b,2f4e6445,1536f689,d7889669,4fde4d7b,6ef67f51,84517704,6a02de40,e0b76d26,f91982db,5039bbf5,afbfce51,914eee9b,352c178b,2145c4a1,88e89cc)
+,S(9bf7cf10,9f129500,e2a8f54d,8658ef97,4e3ab2b9,a1d0d036,25bef5d2,432e2d79,2113d7ad,f77e1c68,51b8bb52,188ebd25,dd6373a7,19bcc20b,e32d0f19,496e8582)
+,S(10d3ffa7,20375b5e,afc8c741,4d9aa184,c91f853d,61d58dab,11a04f2a,f3d4f1b7,c1f84b2a,8a96f43c,b215c704,6f8c3f02,c98d750a,d416f21b,eeb10ea3,f298c90)
+,S(56d64e2b,6adf1cd0,b8d63692,1b68733,e92577e,88430e92,c0e679e8,c3a5eb6,1370e,fbe98423,488427c2,57d5e696,5d4b687e,25e4b824,51b1a6eb,7ef71cc0)
+,S(fec4a03e,1c83cf20,75deddbd,20c24792,6dbfa352,a56821c1,420adc34,731528bf,a152b2af,8670e42d,3bba0d98,f387e9bf,1bab788e,fd7bcb2a,a787e6a8,bda95509)
+,S(580a7517,7ccea9ac,63ae6d53,e8959e5a,a45d11db,29a87001,779c260f,2fee92eb,793be69c,3263c64c,2048c411,115375a4,86733a90,d8c12a06,862f4f9c,669e8edd)
+,S(9286bfe5,78931ceb,cf97431b,1137a19a,991b46d2,d0dec2f5,35edb976,6af636f6,7e774d30,e962db42,83cb38fb,2053b780,c55fce80,51edd5f2,8cb1b5a5,d329f516)
+,S(606d55a9,9b702652,5382cf2e,efeec65a,803e3851,da60a041,e5422c1c,28f4890d,dc895a6e,3c2a6411,4a04a1e0,31b8aa17,79ae2c05,1f4eee54,7f8a54c,50eda1a7)
+,S(a16a0d40,833ec1cd,dcfef2f1,bcfc8ed8,11387dc6,4e4df6,6e807f69,75f917f5,548d7d37,13de4a53,151f32a8,2880d087,7fd281d9,63011388,ba991bd8,822d6527)
+,S(5949d2,be574e23,9a3e3e7a,ae20726c,4a687a15,edf5a62d,9b79d0c3,4f9f0329,71dcb25a,167ab25c,311d9427,5480f78e,f7f4e777,9723e55f,337a9121,445288a9)
+,S(841f4e4a,e67b0d8a,49d7b295,e9c1ff4f,cd1e2333,82101536,cef7c4e5,7968b240,1f561c9c,265fa4ed,eb979f4,a8dbe679,ccae8037,8cd73d5c,b56671d0,571f4161)
+,S(22623df8,c748e9f2,88bd4b83,142788ff,faf680ae,a2640d,dd43ec1e,46cb7442,380ef00a,dfcdb592,f964381d,ce9f787,17d5827b,494c3aaa,d5e0e013,87a55da3)
+,S(816067c3,6438301e,ea07a21e,5a60a17e,670083de,b3b66e2d,c88c6548,f45185e4,5afa391b,9a95e9f1,f04f4e8e,236fc39e,2eeedcec,45026647,f5982aee,4dc4cbf7)
+,S(f8f23561,4745c531,24cf6431,ba8e0425,7d28af9c,2c196485,3546924d,ce085c1f,a165067,e3b41b55,a548c1b9,3fe76b5e,bd101275,acd29e75,7f66753,6734750f)
+,S(21325584,e25b8a15,c25537d4,c70853b2,28bb933d,de04be23,7753b933,57f2f57a,3708c8f2,78ef57a,f0b00d5,17f21a6f,f627b5f1,59ba1f53,d20b727e,86e873e2)
+,S(b2f4f7fc,f48519b2,c00c24b3,7ffac141,88b0baac,bc915c77,845cd6a6,3fdfbda3,b206b59e,6f52ee43,3e7196bb,5f4cf3c7,de49723a,cd5b3e17,1c94e28c,7d57702c)
+,S(b4e65d4f,5f420006,b7c70fd3,9564f9c3,fd9c5c53,dacae064,62212fec,ee7f7265,307b6ef2,e3993bf4,f321723e,a83ec2c4,3c75b8d,684665bf,fc073506,816bee0e)
+,S(4f104593,9ac609ad,25f3968e,9798ee93,aa58b61d,43f4bab,8f2352b1,de3a7240,ed8d87bb,988395fa,581698f5,c55a5093,ed9d0a89,3f4aa4bd,186221ee,7f8179ae)
+,S(9b5e74ff,e515c125,9fa6b215,7ad7529f,90018e85,23888738,d097c016,494672fa,1d55866d,4c4e30f1,7bdbf70c,43fb3b9d,fe2df3d8,41e18bc4,3db3e3af,21fece15)
+,S(77bf442,ac8cf718,102968f9,49387b1b,30f8a2c2,c76a2cf5,10d817c8,7e17e302,bb0f9e61,1d90046b,1d3b1103,e6c5beed,e4daaa85,f6eee1f2,6a6e756f,d32af0e9)
+,S(27de125c,d49f2049,6b028f34,b16a9988,d2f5d469,30834fe6,4bcd388b,78c266a9,f43d86a8,483dd92a,2ad9dac2,4039ad2b,84cdfc2d,323979b8,1a43de25,5cb54bfe)
+,S(21bf7178,ae1d75e1,94bb60ae,4efb5a8d,7f026cf0,7f845b13,2250989c,4be9c116,6caa82ad,bc21df15,d1744466,4d3b58f8,76b52291,5696481d,434f689a,edb8d967)
+,S(249254,93ee016a,41b65b7f,8289da2,dc9100f9,9c0b956a,66d245b0,5632e234,bca30194,1cb51f98,1504c536,74f6f904,d883ff46,7aec96f8,2ed5ce31,7c45b3d)
+,S(d3f644c1,e3472b4c,d46d89b9,6b937108,ea8e9425,9b9316fe,230e7538,7d867f76,91822603,fd629732,a3b37ed9,d5227942,2e536ae,316bfb7c,597b2da5,d8cade5)
+,S(c8461f4b,e2bd14c,a88e52c8,147f656d,915c2675,46252e89,d0337f7a,e325b261,18971181,97ac799b,3f632868,e46efdf5,fa3b615a,a8a92b07,e38ceeda,9cdcae06)
+,S(b6e5f590,be20a938,c1b57e1d,a7bd6ca1,a8c2406a,aaa5860d,9133342a,c395a380,a6728cf1,a2f2eade,72d86569,ab5a6305,cf01eec9,6a6de026,ff146d5e,7d8a04b6)
+,S(3d25179d,465701d0,56d4eee4,b5efc10d,8b70138d,f14908c0,3124ec95,59eb5d6c,158b7bfe,1d61d7ec,633e88e2,b3c5897a,3b56f7a2,ac557c8c,3e032a71,8b95980f)
+,S(abb5d54,c7171499,95893425,bda27f10,d8515511,91af6927,9849a597,46f94d99,4cdfebcc,3be28dea,36d06e89,ff4209c3,7012ff0a,d93d7ad0,4e454422,c4b9a161)
+,S(989d0125,115ef9c2,900dedaa,4e31cbb2,f1243386,73ec624c,52352907,b325c73e,d3699ee9,945de070,fc1f28ee,14279750,d553df63,2951c0c8,d1668206,94c6c8df)
+,S(c4c5c5d4,29c3d1ff,628bbe4,e0edf70d,5e05db13,c82a2af8,2d0e4232,5e013884,c2c76cb8,825188a9,fc29da67,70ade97f,ccee860d,d13323ee,f2ba7e7,efa97eea)
+,S(8662d850,c623b65c,8db5080a,900a0e83,be947111,ec0b9edc,3601549e,26c0807b,a71d677,b0c9e7a4,f66a72b3,2918083b,f91e724c,cf8c9526,b3df0f6e,35da840b)
+,S(d26fef49,7e7359bf,33309b38,93abbd44,543b73c7,c0eaa626,cbdedb17,1d083898,ad8bb209,bb090b39,6b501ea9,a5070f90,4d60c20,d48dbad9,56d381f8,79851395)
+,S(569be8e8,c584b682,7d742ff8,5b402112,5b4560f5,f173c983,8f8785d2,229d8d0f,b09381a4,a8267d89,a8d5581b,f9a49d52,47c74a33,5e26e354,22edafc7,d41b8559)
+,S(de34acc3,4d1787b3,ad967bc6,c5960d8f,842f82bb,c95aa255,d4a9e794,d30116d4,2fddb41c,b2b6b52a,57cf4d3e,883d3f0,e322c40b,ef098505,b6cb3d77,a21816d3)
+,S(47430b48,76dbb762,6d549b86,1742a5b3,ece85240,70dd83d5,5446fa99,c5c50b1a,d75592ba,7004573,58c6a0ea,dc8ec772,b53dd048,8ddc73e8,5af357a4,af200df1)
+,S(f1d1e0b5,e6687266,ba17339b,76bbab6d,8c2d8ffe,f6c68fd7,9140b097,d6e9fe13,a56226,fc233385,349c5483,72300f97,a1d8494d,a67db50b,b96543d5,bf24e580)
+,S(22a6f735,76140de1,3dbd0426,e968c374,6e8132ff,383f44c3,c0515b85,f8cdbcd0,9dcd89a8,90270e3e,358dc004,40f95a43,430a399d,a8405e48,e69e3455,fbd18d1b)
+,S(2ddc5328,afd8ca0,9bb0c6ea,57442e8e,fc307b30,c29e2867,b46654e3,e1a9ada2,7b9ab90e,db84e6e8,7bedaa6e,31ff90e1,7d07793,19977393,b5fedb73,c087dee4)
+,S(60b6f839,a60af52f,d30a116c,58b9c65,1fb1c854,546dfa9e,1a01e2c1,95da0fca,5e77f69f,28cfb414,be39b07b,2469d8eb,b0e74306,1d856bcd,ca54d83e,20d26c40)
+,S(2790c19b,9b9092e5,cb06bfd,f95ea43a,2a1f1f28,57c96776,dcd26a7d,ddee53c,fdeea120,d04e6e78,b2387afa,a0217098,de067759,8b2bc5b6,2715d9f3,714e7f64)
+,S(e544320f,9ee8bc8b,127576b1,6fad9782,db181ea3,4514f7c0,d7f9046,f5113803,b93762fb,2397444,e69b63dd,9dce7c32,3c73680a,e26b5e0f,95211972,c0510741)
+,S(6c7f25ae,73e428d5,860a236c,bbd4d74f,8e2706cd,69bb4cee,39f9aafa,db55313d,d8cb8fc9,e33f9b18,e9a0864b,e58ea921,8db30c4b,d5dff091,6a44b581,c8dc9121)
+,S(289d1b28,ff710d47,4d1e9c3e,f3952f27,dd9eaa3a,30ef499,121ea53b,9b93d4e8,f36af80a,aebc2dd5,84cd5cb7,245b3cba,64285932,77f4be38,cf2b394a,ee880667)
+,S(f02ab597,ac01d673,25e87b5d,29130c18,2a6f4a8a,d4ef7476,b9fa1da7,5910b5aa,ae88c02a,ecf28b13,ecec5379,5c34633d,d3262d1f,65ecaaaf,fe89640a,cce38adb)
+,S(a9a974f,71a73106,57732c82,d6d4c6d3,c625bb70,4ec29a8d,2d8f8418,dca0413a,c20df433,eed4e96f,d5ef222d,860ed1e5,af1497ac,cfd1dc21,26e8925b,91b372cd)
+,S(7866190d,728e0899,19a0e9c7,8634b55e,4cc392fc,1650471f,4a21cf40,8d77496a,1bb5fcd9,540422ef,caa8e265,c35a1e64,29d79de3,a9369b23,3512913,ac0cfd22)
+,S(c8a7ffe3,44b3b8eb,f00e4e2d,e63d9540,25cc115a,9110c773,ce0130a4,8333b9ac,ca1ffbe5,10c63b5,674141aa,5ca87246,ca91280f,da97e806,dbb523fe,5ee67b6e)
+,S(6cbba6a,13ff6ad3,83419e84,e4da6871,9cc1e633,d4cf3347,2f9966e6,4f9208ba,35122582,c7893f4,4fb92c34,e9c4661b,5859889,62a7d1fc,fac8a2a6,1e214a88)
+,S(e07f8dbd,691a8611,eb5450c8,2c765dac,ffe9aa81,49ba3e12,87b23fda,fd9de719,932e35f0,8e39cfee,a2593799,4e118c7f,acb0c6e,5b526bc6,894b061d,8cfbc509)
+,S(62136898,32fd9416,cde720d7,1d3f32a5,51f3e238,fccc69b8,4b633a2c,86d2c5d4,137e9a4d,62247e41,8596d968,4f1e5997,791f3b6d,69cbcf68,206f715d,be784e9c)
+,S(8b010588,62de6706,253eb2fa,f710c086,40a318ba,1ea684f2,3254e8c0,dba7b9eb,54a48862,dcc56c60,cccbf43c,f7a33f9f,dbd7e419,56f0f48e,2ce2371a,19bfd264)
+,S(12d3908c,14af8346,fefbbbac,e56bcbae,3fb2ed87,dc30b1cf,eaf480ea,84f213d8,fc4615fb,df7ddac9,84676421,2c4d99,fef41e5d,98e5824e,cb181a98,9a67fdfc)
+,S(219d05e2,a7b8cc69,bbce368f,62922992,b474286e,df7c13dc,8da62d16,1784cd2,8aee4f73,9a7eb1e7,8ee9407d,e8fbabef,dd28203b,2161ede2,761e178,a34c7f5c)
+,S(d7d0cd59,9a76fa91,f691fa23,ad265f38,49bbe213,c38cb074,852005b6,d85de204,f349572c,60750dae,5ea1330e,a725a0ef,ed1a2d60,c0b1d9d1,e938f37c,911ce2fa)
+,S(a3fa69f5,a04c9023,83d8b73f,6fa8fc3c,9f65cfbb,2c77042d,635f4978,eabb6c6d,c798a1a8,9994aab1,4af95b18,f389a2f1,accb2d7,59997e83,72c1ca5a,c3cbdea2)
+,S(902e881a,825c457d,79872e71,e5d94170,8540734c,1d050e92,cc5c8afb,13b2d1cd,ff075132,63bf6fb9,11163ccc,f62f8246,de099f07,ccfc9e33,8ac82c30,bda62d43)
+,S(325f19f2,4c470556,d361aa2b,3f1932bb,6923ea5a,4f8cb505,d34cc60e,729c144,f4a9aeb8,29a6a0cd,f981bf35,81bf8f9d,73e3e9c1,61996178,2a57c46b,9e94bec4)
+,S(6994f3b4,41a6cf61,53e5f860,2cfffacc,bcdf7245,eb078247,63bb07c6,fa1edd4b,ec2fc5ea,892da897,29c479d8,d3f05152,198ee4ab,87f73bd9,27db1160,1874c174)
+,S(21855832,4e8f796f,fd51bd2f,8c1f6a8,5663c5a2,b5bad37f,3b7a1052,6acb2d8c,e77ceecb,33cec03c,99690d44,b0343bf7,3b93c495,5d67ccf4,b15d1d76,a1897c2d)
+,S(905daa3b,32f2a801,a567c312,ae4772b5,3196933f,487aa1b0,a5674cef,9d91b099,bf6285c3,6d271719,13691d5d,767fdc17,82b64843,5b2ca1d6,b695871c,41cf369f)
+,S(df7cfb84,34b60524,75fe5161,3dbe0e7f,1b685376,315397f5,b39951ee,b65339f1,e725cd7e,1419e455,2d953393,dd9651d5,d1beb3c,6fa44d2e,e580ccf4,df558243)
+,S(e7fb9efc,88842b9e,a3c96b82,1ca5eb80,385cb276,28cf64a5,d8c5bcb4,e5732491,c8e676bc,a6f9e037,263b8390,675a97d,1353c128,eddabd5f,5e928153,78f22331)
+,S(d1a35f0c,272ba216,1e6ac0a3,fa440f59,bad79715,d71e12fe,cc12369d,cd24285b,1f5b70f7,d475716d,b9ef2f21,bb156400,49dc41a8,96102ec1,806b949a,c99edb3c)
+,S(66ba6e8,5f2ddd4c,e17da74a,c7ae629e,4f420429,45932e5,55110da5,2a7b079f,d8ebac5b,eb8eefbc,f4da4f35,79bdffbe,21967904,36487733,263089e7,7a80402)
+,S(6f7f69a,26881052,b4bcf806,575f9c50,c36e7c22,1d7b9e48,7b1f39a0,b4f3a749,11d06b84,d89b88b,ab4352b9,cc160e50,bc183558,25bb602b,89235aa6,7331a4c4)
+,S(4be16d6f,571d503b,26169906,75c01ac5,41c23afe,84cadb90,eda0c21c,926c0abd,1041ede,ffa1f2dd,61a116c5,dd33fed5,d9ede78f,cb2311bd,9a04fe32,9ec1d06d)
+,S(8af88c5d,b55eacb6,760abbc7,91698c57,19160335,ee569bd,33bf050b,1e75886,4f5b850b,6bf2b4b1,29aeeb24,596007c0,ca203eb5,d2be6bea,f61bf596,bdd9a12c)
+,S(ad33e77a,3316eb8e,1a764849,13915e81,edb69518,8ce7507,2e2b6088,4cef8672,fa0161e2,4bc88bd9,da5157fd,7950c75d,6c4f4f89,f158f13f,16ca5e4c,af7ccd90)
+,S(444a81ef,7620afe7,91d96ee9,b1c34485,cdb51e1f,6022dba0,69ededb3,d9d8c2bc,a88017d9,a49d4ebc,2ee811c7,fbfcd9ba,bd268329,1efafb52,e641af11,9751e2fd)
+,S(5b1e07a3,9530f8b6,60787e9d,26503a2f,77af3ad1,24ac8aa5,1d10b663,ceaa5c51,fcf4c0d3,8d55e0fb,2731e59b,686a806a,e87cb510,7bbd013b,4500c470,f77810b9)
+,S(3e8c17,e986a86,57b4c403,3317e67d,b1d42e7d,9625e844,ba533ed1,73174309,deebe49f,f4f5a35d,ea0f396,63c7ee0e,9db702f5,c296fe5e,696f5521,94cd6caa)
+,S(a1096eee,5e9bcb19,9d24c078,b46b528b,6432af90,7f1d57e5,746e83d8,4d112c1,bd13e4fe,699436cd,656b3019,acd54f3c,97eace0f,e1e92fc1,3f08a76d,d2e7c6d4)
+,S(54758579,4218de75,db40a6d8,99a75ee8,36861093,4ded0938,98c071b7,6665f2f0,3bd55642,13e1c689,70cdcd94,fddaa656,6bcde4bf,29c761b5,c6f613f6,19174548)
+,S(4eb32992,fcb4bc44,bff56604,f4f74586,a4400290,5ee9adf7,f7bbc694,45456057,8576a8f2,68349f01,ada77c67,30510030,e0cc9d8c,66db7609,21661540,ba45c3d4)
+,S(350b2def,d2eb4933,c6d428e7,5990a7c0,f291723,f92e5ea2,69c5b4c8,b661a22d,61acdb00,add9f34b,f36126d8,380ef5bf,70f807a8,1320d59e,3540fb25,90de6943)
+,S(914ea8be,ce7f8819,5337341e,eaca129b,2da3c96b,306b017,d7afd984,75f360ff,f2aa5548,ebef80a7,483b563c,e8b242db,582948a4,9fc89213,d3272a63,85ac7b53)
+,S(f656e17,38da25f4,baabaa6b,d70e3f5f,ad6d44f9,c53e1a33,4596246b,83dc0fef,40a8b4fc,34639287,a65f53c,f373c2c4,c742ce4b,2040fef5,4c31dac9,59fd83e5)
+,S(a47c8af0,334e3ce5,464310bb,c0daa66e,d77e1023,a2124182,ce3e6771,933b618f,6dbccb54,56d7c75,5e71694f,fa1713eb,41ec5b2e,8715ec4b,52295294,c0c7f08)
+,S(a8a2862,5e1d04a6,5e87947f,82178d5c,3b5fde31,1eace688,6766ee9d,30753ca9,f82ad6f7,483aa04d,a79e672,efa109be,1feb3f75,d73923ba,94df2f1e,2efc2169)
+,S(a01ff54e,5f8eb855,e26903cb,3fd407ef,4fe06208,a0f44837,1e83f7a2,31c017d0,2247c6f9,c52f1a68,84c18ec0,77d92514,9fd59b00,27663ee2,f0e5b2ee,f2edf92)
+,S(e7b09c3a,626ac89b,6caadbd6,99a320c,61ef4fe3,11f6072f,f2d7c875,8d42aed1,8ed996d3,6a7b50e9,8e5c64ac,e03cf5a3,37c3c5a1,6d99c5e2,c0faefcd,38609fdc)
+,S(3bba9e53,336c2a06,ca89fb52,26059041,96307c97,373cb717,3f35a45b,863ff2fd,f2fe9109,3faffc16,f58ccaea,e54e9b8c,419d5123,6e8c960d,52ae8341,27d24799)
+,S(f61d22b6,dc660174,22122400,432f533,11950c21,b6240acd,af905f9c,2c0630a3,6068f5a,1a662cf3,93eb7e86,5cdfab18,692bb250,15de2796,1421a457,49ffb05)
+,S(a5b60855,6b1aa22d,8bc38dcb,8f3e4721,891c45dc,2702d13,7189be70,e8a80962,f77f97d2,d5e305ca,1fe20b99,e6c182ae,3a9b3a69,7cd5e34a,7199032,fcb1ddb6)
+,S(70c3aaf9,eb2562,e1cae950,be6f592e,f030301b,28022ac1,be3aa5cc,85e1a259,3f2cb7cd,31a8d319,ce4626f7,213aaef7,3f91f2be,a17addeb,61f217b9,4c587583)
+,S(1dd70dd1,a8755e37,28dfcc4d,443e7911,a67952af,c33e7d93,b975d136,8d06e530,4684f974,1f5894ef,47040074,2ecc73dd,240e677d,b6bee0c4,141dfcd,7190d084)
+,S(d44d698d,7aacfd4b,d8d6bb7f,2d0dca82,f5d37c3d,46573546,2b180cc6,9083fcf9,a18d803d,4232965,90c67b0f,4c415bd7,c0c94041,3740be47,2819bebf,87dc407)
+,S(84589ae1,30455742,85522ae7,4b1bc3bb,62730a10,6154d9f9,4109c010,51b34ca5,b979fa08,f2a9af49,bf6ffce9,b2fa707f,de14fcba,3de3b903,49bf6235,37b3606c)
+,S(3dec8fdf,89118996,bed31c1e,fff15c1d,bc84e73f,fd04c6f5,469d2f04,8b724627,b143f3c1,e20b5bcf,dbd1a555,f4ff88df,dacccaa2,bfd4310c,16ae2710,1beb2c8c)
+,S(367a5fc5,519dd9c6,39bfcc4,70ce465e,23a8dde,417b412a,2f0f4374,8cac160,5b8fbddf,2c6bfc90,e291b136,a3e0f8f3,faa64820,97a87cc2,dbafac5c,a7f021a6)
+,S(8aa5587e,7777606f,60bab6b3,20d88e93,1e7c2efd,487bacce,5fa3256c,9463efc1,ac5ba76c,98bfa132,c16921ec,aad52289,50beeb34,449e0c18,88a39fd1,d3f091dc)
+,S(79c00191,ea632ea,30fd9e6,b0d11c6,af3aa441,eca678c6,a5d6bf3c,c84cae0,3f954070,3b19a941,3ac0b659,bf401c2d,ae9c8bdf,2bd19e85,472d2d82,39dfb899)
+,S(c84de722,21a59e95,cdd951a0,66483255,e858aaa4,ada498b3,d4ef8bf8,3a04fc8,73cde958,915abf28,df811109,a6220449,548fcd2,f639102,158bc451,4af0a0b9)
+,S(8b1b8c50,c6327d61,e063822b,2a3c5935,fedf74dc,fe694c21,8cb6b892,b5a9d6d5,57bd8952,9f156435,f47dfc47,9ff4314c,c036766b,5b6437f8,41f60cb0,fe168b)
+,S(b45eec8a,3ae82f98,52117c4a,341f8184,33a31ce7,719d7650,e783fd52,48702c52,cd556b5c,c7086b4f,905d0fc,ea01497b,25411785,9ee9046d,c988c6e1,9e0a1c90)
+,S(a2d5dcdd,d93096c7,67b4871e,ac58cbdc,31ab7013,865a9cd2,c5707780,80757319,7aa406b4,b130b23e,9e6b5978,b1e0b537,227ae8a8,af62c1a6,a6d46ae,4b064547)
+,S(712036b4,e5d35950,a7564ea8,3509bec1,e97f6e19,121ae5db,3d314c19,b9ed2b2d,25862ff3,8d0560ea,4698d2f,425342c8,e3a32232,f9c9572a,21d7414e,68a93616)
+,S(5bcef0f7,d70fc8ba,942e58c8,79afc973,dca402e3,795adf0,7562b552,f0bfb392,7cc85a4c,ecb45bfd,3efb0e12,c3fc56f9,1a444ce4,73256474,54ccb089,baf1919)
+,S(dcd5702f,9d508a1b,afab9f0,af5c4e9b,b9e5f214,6767ab0e,b5c1d859,39741ada,f7eaead7,ea13e3a7,dccd40a4,a2526501,3369d558,6f0c735f,9eb2518e,ddcc1fa1)
+,S(2cea30d0,4f629d,91c3ade,1b8b7176,363bfcb9,25d3eec9,784b91bb,e6cb3d9f,a83f4bad,a42ab171,cfc9a76a,a3dde34b,c48ba454,b39b36e3,44446096,a1c42624)
+,S(858b41f2,767b191e,df15fcb1,3a41934d,150e54d6,e95035d0,9c6dfc7,a1c32f8d,8180b97d,76dc95f5,478a2172,4802a28,b34d6e9d,f65d5358,e5cecf82,9fde8dd7)
+,S(d5c98002,bee359b8,6d1234e5,ff418013,3eb9a668,d2f1294,245fd020,c30e81e6,4e522da4,cd2bc795,65a2e4e,e2fc87b7,a0b6bce9,1d90376d,921aeb49,5b3781de)
+,S(ebf9162,2f9cea9f,71a4ddf5,82de4b7d,34002d76,da8acfb7,d4d6c3a1,9520c1ed,eee75322,3e1881cd,8e3fb483,318c75aa,7e43d049,8e53536e,cd481d18,5ad4e251)
+,S(387f6a9,d08756f3,8c2e111,af74be68,acc4504,f3669ff6,b406f6c8,a61db4d,288595e3,ea1d5f91,26df96d5,dcf5cf4d,ed0bbba2,37224c4a,59db552e,87cdd28a)
+,S(897ff1c0,989bd52e,383a2d70,e5920144,9aa409ee,9fef20df,25574956,dfe46714,3cfbc0c9,308c6529,f4e95a00,644a873a,de094069,36dfd6c6,bcaecfa5,9adc9d1)
+,S(3255a8a6,8e0484c7,8b6bbf21,e2d8b24f,bbcbb337,6f84feef,b577ef1a,b5a395af,17b3c002,f9204b84,e6d4a426,d2d74893,79ef3fd5,441e881f,d8122599,2912aeb3)
+,S(2ca4a952,d4d9e3b0,3943eeaf,b1eda225,1fbca101,e7071b7e,2778ef9f,ddc55599,bfacbacc,df02c18d,f81a2c04,4748c7eb,e98631cb,63ca16a0,9892e163,23891e00)
+,S(c3e8289c,478c334a,d47b0410,e1b6ecb6,46ee5f8,8a4dbd73,10505f6a,de4383b2,5792c2ce,b0431238,647f4309,cb4ed220,229bee,2727b91f,de4004b3,d6f0f55f)
+,S(2bbdef60,a86292f9,867ad63c,67f98420,86fb968d,db92d9d5,f87bd27c,15119049,f4a4b762,3536c479,29099d19,3d40d4d0,e75dac62,54f03538,80286756,60a85362)
+,S(77a6e090,9e7dacb3,18014ef0,714a4be1,fe3ee47b,e22afd2c,e0333cb9,ff2496a9,54f0e475,b1a9906c,d1d915d1,81961492,34461e27,e163c384,3815d188,5251065f)
+,S(d195b96b,78719254,deb4f413,979f64d6,ea94d5e4,79350b11,45c39e45,4f40ff0,238a4440,613c846e,9472d4b2,b0a4db88,b8245cad,a5af469b,d997f729,c0e0636c)
+,S(c39aa336,208aa65d,75bb0f3c,6084f414,ad024d15,48da5bd8,113a619b,4815b1f,7aab1ed6,32741dd4,14883b22,6e573ee6,455a0053,6d849200,4b233153,1126fe5a)
+,S(e80ca23d,baf82db,cbe0bd27,24cbb31,d6661c70,44d8a8d2,2967764c,fde31f30,a153d1d4,73187878,bcbc583a,5eb83e5d,f67e8142,46861713,8c484744,a597451b)
+,S(395b7a65,a5a9c23a,f96723a,4d595a7d,f3e8505f,e0aec120,711cb7b0,2e72ef80,59020dd5,47476e39,36ad37b1,9a256543,4f88cf03,2992f4b6,2229a5e7,e49bf990)
+,S(67a7e8db,b83e23d2,7b57e2cd,9512a5da,e8b49545,ffef2577,644fda22,910b495c,7c01499d,3791b9f4,100a89f7,8e80b410,41fd34ee,68ce1f15,a8753032,e8965735)
+,S(c4038e7d,76d2e7b0,86986395,2cbe2ce3,ecfb4b08,61423892,ac9b3b3f,6dc0c7e7,61bb3b0d,9efc9b7d,326a27ba,bc34fc8c,129460b,6642629e,72f20351,65e92f3b)
+,S(7705a5e2,26a4d3ae,ee69c52f,5fc3f575,b9bdda08,70a19a8,8a525698,c3a25e5a,458e096c,f01906f8,c2426973,d1c6a982,44be9e02,22406207,3a883e4b,53c7a1b7)
+,S(f3ce8bc3,5958b5e6,16a994fa,1fe0396,68a5f1f1,b464a875,9e4a3475,34ff48d0,9c1a1d97,be3ad78b,67c8c441,f7aec63f,8dc92aa0,87500d6b,222a2473,e10058fe)
+,S(905ec120,de69cebd,b9a9d764,e01d6f88,3ebb94ad,af5685d7,6649e7f3,3ca4e0d0,92617e99,3974aa3a,774a75d0,e51c00ca,4d42ce12,d79ab0e9,3a8e449e,9ca9d554)
+,S(b1b74a4d,a3578592,8bad0edc,3664c1e1,27d48447,fdb246b4,f15ada68,9b21eeed,c43539c7,b84e9e8f,bcce3823,1322c4d0,c14e4d90,33c4e132,8f5b26ea,9d3206d9)
+,S(d440165,c72f2d46,b2fa2a47,1c42dab7,8dcf814d,12d3e025,bd5fb963,3d8bcf1,e0864950,261f5fac,e97ad9cf,fc7683df,fabab749,1d80422a,ca30721f,5343ae3e)
+,S(ff524c4f,722c19a7,f7b910be,6d573a57,fe08d5af,6580aed1,de03f939,5053b303,fd4ad4e,5b25aa8b,b3a62dea,b320335b,5b9f1368,62f5f913,98fbaa61,b753bf0d)
+,S(effde0bd,331c1083,e4b76a53,c9c1ba43,8fafa2b0,4a3ada44,63a5fef1,8d8d091e,fd7a869c,a75c2105,e6ae5420,86ccef0e,c563bddf,2b41ab9a,ee0e14c3,1d947dde)
+,S(a5e746c0,99c8d99e,88b4a304,b583adb2,1115ba64,e409d278,f40c4571,2f3875e8,7f832112,c2af3830,2c4baba4,f073f7fe,84170939,dd9e8c07,fd2c1eef,2e934a68)
+,S(6accb9e3,af5ee943,9d8daa72,2fe45513,7df5e274,486fa46a,1ba19093,32ccb431,f0de1658,842d6580,507c26a9,b68f92e5,a3faf108,1fcf5dc4,43ec9dc9,9f28dcae)
+,S(c813d055,e40d32bf,6e8e782b,3ef85698,b86f3d31,ed0123ba,1ec8978a,f72b6d4e,baf6d757,2f924631,c4da4191,684c6280,47d37ef4,2bb9528d,28879011,8d068ca6)
+,S(8b882012,2cadfc62,44fbaeb5,8be4d587,599dfae6,2fdf1177,38a844d,97c7aaf9,f5e6c293,ac900da4,f716e131,fa5a42a8,7867c8a4,76808b2d,4093c782,6f7a6a3)
+,S(8f075050,f49ee582,b54a5acc,4ffaa443,bc02ff34,4d0717ee,9619d83,2d7310ce,13b901bb,7ab3d325,7cc555c4,a4799a3d,f1f9f9a8,6b7021c9,b99a1315,b5f7fd3f)
+,S(bbc852f8,cf643e54,3c65fb1d,f2f72c97,89a456db,21c81f66,921d411f,b0374c58,ad08eabb,e7971e24,b2bf604c,fb248b3f,a27e1c2f,84f032cd,4c14bba2,b30a590b)
+,S(2d77dc4b,662b55bb,878edddc,9dcc2dcb,9278cc,b1e549fc,ffa02503,1a80bc1f,288bb0d8,4fa7f2a1,ad1a62f4,e76ef6ee,c07707a0,89caffff,a8e60870,ecd058eb)
+,S(bc83f71f,f3b4a86e,b9bdf7d9,94bba6c8,c90945ab,9c858b4f,fea7914a,d7ccbdf9,18e91fa3,e5067d23,809ed455,3d119541,fa3c2563,a3a88b30,20d3e49,4b232292)
+,S(7d5b9657,8d9b88e6,b0e11b7e,847d0524,45f83dc0,e2bbb7b3,205db435,2c200919,1e689f7b,8830c10d,c28e7230,c569af4c,b1c9e672,aafd4d35,2faf5570,90515ba9)
+,S(85e9f364,8d758688,31dbab4c,7460c4a1,51614887,cacc3cdc,1baf928a,200cdc80,7f4ce518,d5045c0,5865224c,c07f7fc3,5ba5e4f4,c03ffa9d,d5f8e5a1,31369e27)
+,S(425390df,c1c094bd,34855816,dbbdb71a,9c1d1077,45b1c65d,a101d974,4acd0810,81f14cdd,20ef4d70,69026d94,f09de176,707547c3,8c0f27d,1e277d4f,1f49bc00)
+,S(3cc7cf0b,66dc93ac,250d00bb,60a0f75a,dbb59409,bf8e4419,4cedaff6,413549d7,331a632f,c3dbd899,f688bcf9,9df70e66,ae17b719,a2beb23a,664c1d6,1c204a58)
+,S(fd72088d,b8a1bce8,8fc923b,cff789d8,9d6a0b2a,2be3b5f0,17e2b3eb,ce70853d,d3912b23,a38819ba,eb329638,3a0bedd9,93db4aa8,df647494,b710dec9,9eaf599)
+,S(3e558f8d,5e0096da,4d8940af,9a0baa25,c7318541,c7dd37a6,b72b35ac,efe65060,2a403d7f,69d805c,3ebbdb3e,fba95b87,f78f6431,7fec0dde,7695053d,e660e90a)
+,S(70708223,f525f222,16c00149,fe1b745f,721ec32a,90fd0b01,e82f2049,d8694a7e,ef4ad787,f0b4d53f,19d86ac9,7d943b5,fce17d88,6366354b,410dabeb,efd12569)
+,S(eca29625,eabffaf6,4b9eddb7,11e4cf76,440b4a94,def9d2fc,6e5e9114,aa414f72,f1f83875,75afa3fc,b23bb227,4c5890cf,f798b628,283989dc,d3538b8e,237618cf)
+,S(5b7c4750,542df0c4,c4606db4,6861925a,da7423a5,66d6c108,77838f65,5f297695,42811366,1ae1889f,d6ccb1a2,4cd9a6a5,de04db2d,5e805079,5f922b9e,791f784d)
+,S(af1a5fe6,40cb2ee,d36982dd,1e7882fe,bd5da168,8005838c,b379b986,bc012042,71570549,305fa634,a63d12ed,1fcfc8a2,5768778e,863d4778,b7e41215,ad3e6224)
+,S(727443a2,46787e70,f83cd1be,1189c4cb,e1e8b18b,1d57746a,9a319676,9366b1d2,86357826,9bba3e89,a12565cc,1770e5b4,4df56ac0,d202fdea,d68928d0,6d16d540)
+,S(967979,db34e62a,149e6835,213991f7,ae2c9a2b,abf3d255,6c5e198a,12640b8d,99dc1d4f,52445651,3cee44ac,3bf3d1ed,8547b827,251b3b01,4d4c07c1,fd9edcc4)
+,S(794009db,8f3491e,27ef9d73,905b06b2,be56937d,be57b8b1,59dfb883,af203601,5a6ad64d,7ee5e1cd,15a6a087,289d86b4,5db60d24,243917e7,50eca61e,2ada40b6)
+,S(87cbda39,6f90b090,dba9470b,1fb0dd1f,d2f4212f,50791511,cf6297e,a9851d10,9ca095f3,a2a4f997,501fb4c9,c5585dc7,fb8f7952,e11cd3e7,73a92005,a41b63f0)
+,S(9ed57b03,475d1752,58c20772,1be7e12,cd1f3ada,5b95fa8,4b245b01,b910acb0,d58c9054,43bd81af,85c58a7b,d0cb3e8b,25310644,8e1ef50d,324eea36,a3bbd5eb)
+,S(ef8d0a22,92ca4498,2dac77e3,86113363,35fd9521,fd266be7,d5d354e6,28b0402,e55c4b4a,556881da,a4a23e5b,677c1a9a,f2f547d2,e2b4037f,f9758a74,3cb58b6b)
+,S(6dba21f5,a274f29d,502d369f,4fa4ed08,2299f6e1,b12f5c75,abd01597,d127e3d9,7685f72f,a0ce41e,8c4302de,3e6e9c81,c951f69d,d2df0f3c,930da77a,51a39d94)
+,S(8cdc3ebf,857ac235,7dc1b0f4,26ed2a52,7841969b,7fb332aa,6ba44693,c8399a3d,234dd3c1,915ac714,6cd8724,9b68a19b,df250dab,2748abec,a5876fa4,b7f910ca)
+,S(a00829c8,caa665b4,7e3391b6,f4706898,a9c790fa,29344de1,e88fd882,b5eca2da,b7c8fcc7,1e834cce,5884b129,98318254,23486297,6068eaa8,184b5316,fd424110)
+,S(5872f762,446cbeb1,4a12e54a,1d4f22d6,a4ed5b2e,eff7c5f5,640801dd,2149ce6a,8aacd3e8,862757fa,1a70c29e,24364ef4,4c37d5d8,bbacde2a,c75a0c1c,28ee198f)
+,S(b70ed5c0,5dba7150,f22677d2,e5b532cf,53e7ceac,919d3b2f,ec4cc6b9,2fd34f2,7e43f528,cc74171c,a2fcee0b,18d8fcb,76c3d69b,8560831,26bd4482,a4d28cf8)
+,S(4beaa213,3c6161d0,c7da6d7c,8eb09cba,2e8ca505,a790a7d3,9d0c16b,8053bb52,da4c083c,9cbdda2e,c6626d8f,e4b2ee13,703496c,c298bffa,db1acdca,99d4f6d5)
+,S(a8d31ec6,53ce1834,a78de363,c5f9abd1,8594b34,4d34f5fc,8a10e81f,5804831,b4d6a9cd,7cbbe370,9edb5601,cb7c8ba4,8c462c18,594a4bce,64f4c286,dac5cff9)
+#endif
+#if ECMULT_TABLE_SIZE(WINDOW_G) > 4096
+,S(a8f11586,f3df4945,a753c485,ee0fd4d,e410771d,bddc1b26,c9ff10e0,77b915b7,a4ad6f16,dbd741bc,71b2dfd2,dd2d340,3816bf73,4e73cc10,abcfa6bb,d0f161a4)
+,S(13e697c3,812d4772,254082da,372892d4,e1a66e1a,eb16bbd4,f7a0d531,c979cb2,87fa7baa,f6def12d,31e42c14,f672c0d6,a9d0e2e1,ceee2546,d65bd01,c18df57f)
+,S(3cae4590,821a9697,a5963269,b44f0222,98f60021,b6048b3f,49c6fd4d,8650c7a,e03f8745,60418449,ad97f28,41664745,349329d,268c1c43,86e25147,6e44b234)
+,S(6f42f6b1,cb6bbe13,cf081480,766cbb36,9d2e63e,e691722e,ac81621c,66e0fccd,e5d8f8eb,67702ed9,e33c7b71,e3cd7b25,cc9cd315,314815b0,b67e8622,fd35f022)
+,S(43d24bc8,469cfdb7,51ca7d82,98727059,6fac14e2,11d37041,370f3bec,90e411eb,2129d618,fb1f7030,9715b2ee,d8e70aad,8b172b74,425cd747,3a3fe40,d7c50dea)
+,S(259170e1,d48b6f36,6a281592,3474f0de,434f4ccc,e45126e4,a15c503e,c1f8b97c,9ec06188,dc194bc2,be131217,bb862943,aa9cf36b,7703c45f,b1ffd282,c3c12549)
+,S(18d547f0,426139b8,7837d1c1,ca0f5f06,883581b2,c001e8e7,2565c9fa,80fa2719,26d9dc3,e1145ccd,23ae36e0,5c133f6a,5ebaa9fd,bb954792,3e762a8a,9fb60260)
+,S(23b5936b,f2dc961f,2fc93814,4c96232d,dceb477a,753253cf,1bf05713,1b9e58be,9b678070,1bd976e8,8d66e740,2c00bec8,e4fbdaf4,976289a4,4391b28d,45519b07)
+,S(46de46fc,209df62,6185387,938724fb,702c3239,fcf29113,2807894d,148774f6,cdc2ab0b,5d37a348,1b44de55,d9c50ce5,4322f8be,6f284ed1,ee49f04b,65f4f2d8)
+,S(d3b78208,f5876faa,c4d3c970,3a87a586,e897c11f,dca9a7cb,6573c814,9b5d5da9,112ecaec,9f4451ae,23485579,9cfee804,ee053df7,8e65713a,cd43d953,471863e1)
+,S(52d51f46,ac86afc,391e6a1d,8ab1d862,2492ae18,b3e86f13,5e42fed9,4cf3735a,cea47627,e7eefa90,7b8bfd12,f3212ea0,bfaf9e00,f407bb4,8a86039,d4815215)
+,S(46451d04,48f3f959,e133723e,b9138a73,b3877adf,f294ff15,6303a845,65a4c39a,fd1c4a00,bbd9aa06,afb14790,5c0530e1,d6c3b5da,c9001b9f,8ec76df3,c7bf3c76)
+,S(a12f5e51,16c58aae,90d8532a,9182d54,f539014e,e2d8357e,5ac7854,26fc78db,3db94e9b,f37ced91,7c9f466d,2a6db2bb,21725e9f,f4dc1482,3e6e384a,265e0cad)
+,S(98999fcc,38fe6b71,97ebfd61,fe8942dd,be944f98,6f139c4b,7bd6bd3,28ac250c,48adfd3e,c348281d,c23335bb,8702cf8,acbdfc84,9ee34a3a,14bf36ca,b7dd0ae8)
+,S(8ac22420,f9b9aa05,705b31f,bdb57d05,218ad72,ce09b489,4d0b515b,4e5940a8,37a7e2ca,442b2446,686f91da,db6975b,6f63454,e3a96df3,de8c62a4,364d30b6)
+,S(cd0804d7,b1aea00c,13a94a33,f75f3736,f5759080,96a2d418,c5b54c72,de31d619,c7f68576,10df1c38,6e677bb,dd6dc121,b3d9e9ca,e54d22bc,a5ce1184,a3dc755e)
+,S(b6c4bde6,2f8fe3d7,3c32e641,573098c1,c559e847,e40f60c3,49d40050,49b0411e,62c691f1,68510458,3e5191b3,758d7e3a,b2cfa31e,7a00d7b,97e39f88,786f9a9)
+,S(c20990dc,70134917,42cec766,8b725c26,d918cb46,6cbf7ebe,7b1f37bd,63d5df0a,6f1e71ce,e28b22e1,9c6f180a,4d7a48be,9fc696f4,cfd418d,134c1196,6e285d1f)
+,S(ebf16672,45ac7f7,385b5356,dbf977a9,3602a11,40ada114,7face805,dd93f9fb,24b15faf,3b3ac9f9,833882db,b81a976,9a37e6ad,1a4228c9,a4f7d0aa,fcca3400)
+,S(1c620657,63199ded,804deefc,c33822f9,cf3d4c1d,72f2022f,37714eb3,83367621,600221e1,48f74ad4,dae118d1,b6dca782,e00117d4,92881c23,b5a7cb79,86cad767)
+,S(40b300d0,7520348,38bec63e,f155b527,286db841,754702d1,d512c183,345d492d,29305ffb,31b1feba,abe027b5,f432679c,e265a57a,3960b8b5,a66e6de9,5a10fee6)
+,S(5768ffa5,c8b56772,1e10c2ea,421afef5,dfd84120,a8d40e13,751a895a,fccc6c2d,52ee5ce2,e60ec485,7ee62e81,fb2eb118,4d2a6ecf,d8ab7e09,dd728d16,5e508d30)
+,S(d906e71a,b6bc6697,858c66d6,82aa85af,e8d80ced,5f470ac0,8158b5aa,4cabf2b7,c75ace8c,74552756,8cad89e2,201dd954,bc6f4ae6,3a671d2c,9bed78f6,40b7e70c)
+,S(f71937e,f4553a81,a3f155d2,2f81a5b6,e080c0ac,bd8f5c5a,fd437960,6a63460d,d6e4e57d,422df901,e6292a28,c83c3bf4,136b5700,f6da0351,33099feb,f1228b19)
+,S(3c498699,da858f1b,364c464f,b4317b76,5d085393,1c187888,83072cfb,39ee337c,cf3033a8,9749a0f4,fd4ad867,67b919a1,c946dc67,cc46524b,af5c0015,833daa0c)
+,S(c416570e,cbc5576f,97090660,438dc3ec,be269c42,6e36fc44,45d53b0e,b2c5d54d,cf6380d8,76e20ce9,5cc181ac,4fdd42c4,b91d7132,d1b1c19c,4cc0db01,4ed782e)
+,S(8f97b2bd,344fcf8,62846992,e826f5b6,7fe7d103,28f34231,8a9f7de9,20d71110,e296632,fe41f8cd,b3da3ca,e1c356a4,2424c649,11dcdd58,c21aa1f8,cee07ec0)
+,S(6283f371,8e67e917,5b8c1bf,28e66bd8,470dc4a0,1a720a8f,cf1df325,fcb0e10f,5e80225c,87c0d6fe,3432db79,e8cf4365,8640ad4f,21efd2a4,333eb6ae,a46bd342)
+,S(9e29c616,ba66db06,bb71e56a,2a049727,e07b83ff,cdbff6ab,898a73a2,f2f9d58d,b5997133,bdfa29e4,431494f2,8444f186,7c4fcc1a,516ca195,c8eb6fe3,f5693dfe)
+,S(7a0db51d,56a2b33b,8ab33329,a1d41454,a30e34fc,3db33a31,45c1cb07,923ca061,334164ab,64cdd8fe,9a106f2d,156a16c1,5da4f07,fbd7f1ad,e9d1fd7a,c8630fc9)
+,S(5994233c,13ba74ea,19c1c65a,c3653a6c,cef79c4b,bbb827af,e736545e,33ac05bc,2175bea7,3090437c,9af6f994,b33023b0,5fdb278d,c0c59063,eb3b805e,a6b6bf6e)
+,S(11e13de,2371f715,4d15373d,d52c504e,50811146,10ebeaa3,f47a3335,ee4e17de,fa961827,b81e71fd,60696d97,17820d67,ec86e8b8,74d3d4bb,f50df644,61f738b2)
+,S(787099cb,c8896328,dad08bca,4e682e4,90461574,29aaf740,23795a1a,47f25ccc,1ea5755,bd653ed,ee7ee8d0,b3e6214,df2e31d7,731a1c9e,47a95f46,8c3c8ac5)
+,S(c644c88a,fa42bae1,27bec7d9,528cd695,7bf7d906,942baa4e,14ac960f,46469cd,9d7b39cd,22007b04,f61c5905,3a3b7614,81dd45a1,532d395c,baf8ffff,377f2644)
+,S(79d1abe5,cdc8b0c4,9508a87d,46163d1f,ada43640,ca1a5e89,d2f1c07,8c58820a,465cdc,983f1be8,948b850e,a9a4d9bd,f3898781,65d5a186,1c94d3d0,3fb9289)
+,S(e8d4fa8e,db2a1612,d7b6fd8c,d6aa2f1e,a8f1ba1,32572d6e,dd0826ce,bede0e55,92aa3d43,e944d032,afa03d23,dcdb4604,56cb0363,1fe2f8fc,404dd9f3,f832f065)
+,S(6f99e75e,b09110e7,3d5e304f,bf569037,577554e,51861356,40c2c69f,4a92e88e,63b5bf05,c554aa30,261a09e3,b292b9ce,8f1bcbf0,ad91c35,aed04f31,567757bd)
+,S(cb089170,d912f8ae,e59f21f8,8860c0d5,182b5252,3b2cdf35,b9795d1f,20c37815,4e8c5b3b,6d79cab9,9f2570de,8c58c34e,6b6f5e19,b285bc4,6988ac86,20e645b5)
+,S(5c248793,51e487d3,af1b6d16,b25367fd,9d2b7185,9923c565,5d7567d8,ffd621f0,5806bb36,ac3cca86,2624401c,27c54e90,c76fc747,7e83e6f6,ac89f22,35c84211)
+,S(f1d10f0a,2ce54b90,ee71ccdd,eb6dc4d4,c2cab0c9,5cd35bea,5f20d3b3,51d15896,7bdb4d3e,cc613f8a,8fb84d25,541970e0,6c7385e3,c04022d5,82e2efb8,4998eead)
+,S(536a5966,b594b460,bd27b4f3,aea6b555,95940f06,311970a0,36dc0fa2,3a274519,c44b0b54,cdb4eb87,b5d70d9f,bfd4a601,5c34182a,31a882c9,880878,7910b3d4)
+,S(7f8165ce,ed27a393,41d542e,ba9ae875,554265f6,1c1c56c6,cc0bbd66,2ff88686,6993724,26c18b1b,dd1207e2,f3bcc0b8,673f481a,e7638d5d,45134835,9b4e39d6)
+,S(12214607,c610d012,83b9265b,c59d7458,4e0a79f6,8a4e8535,a72809fe,11a6830a,5d26e498,9e3edaf6,27cc4bb7,105ba8de,3344e506,d9bc9a33,8f1e3219,e473e609)
+,S(9ad7f097,1d1c326b,8ac468ef,706f53a1,9e8fff25,8e599f0e,72acaa15,b21d58b7,2e7c0921,2199c7cb,da8d3645,a5bd7831,4234849c,41a238c2,a3dd7fad,fdb8a880)
+,S(355f75a4,9df69d8e,4ccad41b,1fb0445f,619ba9aa,34697a5e,24ec8e92,f5b41068,9ca83421,4622ad8a,90a09469,d155bbec,717295ec,c071894c,6c91a7b6,e1345f24)
+,S(bcde8058,8336a996,fa6af5bb,5ebf7441,ed3bda73,4802ab5d,5c0eac31,8017c706,49e40844,78cf1912,ddc91907,26411814,a782a3c1,452117c9,993d9e8b,4f247563)
+,S(372cbbc3,3417320e,21ac4ba5,f286a9ed,273b6425,e8ed22b,d0c352e4,f0a97270,6e05363c,bbbd6b11,8f2842d1,243dd629,247e90d8,4e7c9d02,c3677f93,d1d01bca)
+,S(a1122e8d,82e97ff6,ce9fd024,cd4ff32c,76aa0aac,c1c2849d,887240a7,a368e064,ef97035e,1df99943,1139cb88,e03bdcf0,8b3a5c86,d4b42d13,9b3acb12,e4e7df3d)
+,S(e0101d71,1d0c7b60,8093997c,229bbbed,63b05224,53c0079a,518826f9,2bfc9d5c,a0acb9e9,c3d3d384,7f2d38bf,29da71c9,af0b5a41,5bf738fc,be24e367,c8db2fcc)
+,S(6df3e575,4b62c92,41f8aba4,12804ddb,74ec864a,12076a34,d9cdf9ce,be336e8b,bc66fbf9,276fc85d,767c2155,ef481295,963cf371,c0ae6b48,50140d1f,c32f80d6)
+,S(e5794801,97d3eb68,fd859d0a,a616912f,a2a52a7e,f3881969,626f43ae,4ac20586,3ba69743,176c43f7,7afdabef,a06eabf5,94b9d0ec,1114f352,7cb1b127,697a5275)
+,S(7b290c31,de7dcb10,177313f1,9a15d751,c128bb2,16823c5d,69298baf,575657cc,9d3b3707,d8f2b17f,e14b6b1d,80c55d14,b747c3e0,8c79d55a,bb54809f,d96f99e2)
+,S(4ce2adcc,18632b7a,560bfc3,beb7138d,8ab210de,6cc7f6cb,47171b45,13e991f7,5aa8204b,689d8f69,a42e08d,5ecd2936,97ba76b2,1bae122c,e9252659,25a874c6)
+,S(dd798cc9,97530af7,d7ce96d1,a6a93aba,c29056db,c69eebca,f4649648,4942bcb3,e9ed537e,7b679852,88bab4bf,36ed677c,14db982c,9ce8714,b4f3a32b,56609e49)
+,S(356f4414,9da655e7,c9ea5a3a,5c4847a9,f908c608,aa492efb,15e7cb00,8b065b79,2adb4e6a,ce059ee,44ee8962,b4aa8c71,a4d55f31,28f56877,6c70c4c7,19fa6332)
+,S(b607a62b,c16ffea9,b30f61d9,c711adb1,d110c6b4,357b1e0b,dc71c8e9,4d06668b,6b933ae0,9ba42b06,96419a90,e6579a33,8f4f3fc7,5134abf,70cef838,efc5270e)
+,S(77fec5c9,24fbca2f,f564bdc2,96ebbfdf,d52f0dfb,15011792,57085c0a,8fec498e,6c7729a7,c92a6626,44f33fd3,1ad5142a,b521720,24e31308,dc11f73c,ee29d69)
+,S(804dd2d9,8014a95b,7fea2651,195585ac,acab7a46,1f3134ad,f2c4403b,3de98461,66fae33c,458de63b,dd04fce8,1c425938,dc13194c,ac03205a,c278c071,918a4e84)
+,S(65866c36,90a6cf74,95ef54a4,f222bf9e,3ea803a8,98eebc19,2214133e,9ad35234,8cecbc5f,4a152864,6350711f,c4df57dd,8a2c44d,4133ec17,c95e00d8,b49c62ee)
+,S(eaccdd6f,2a9616ed,d6f8c3dd,bcb04c1d,49f0c4c3,8d8c34fa,d47174f9,2323e15d,15a435eb,e23d23fb,2313b59e,2fe0367b,17b6d9d,e900332a,20430362,19c4591b)
+,S(860d382,8ccde42e,b27652d1,c159d9db,57a0b9de,f290b071,e93e36aa,f730c53e,b4688879,ef616c7b,87bd37,641e0381,115dd487,d5fa3e87,99257afd,26906aeb)
+,S(fe446d0e,8d174570,49394416,9c332f9c,eb47e70,3f214d83,2777398a,dc8189bd,d4cb299e,760ef11e,a3846dd3,9a49f34,4d5c10bd,ba66dccb,a43e3647,718e598d)
+,S(e4e6bb03,528f913b,bc34d910,2a96385e,bd0b8aa9,a07a863f,9d5d41c7,b982a578,46ed6885,471b4806,aca3c265,d0c40535,4bd63da0,af35a89c,e8a86896,63d38690)
+,S(12d69042,a5515732,8b729ba4,4fc3bac1,95c419f8,ec71f438,e676d722,4509bc56,80d7fe55,52e88a74,a87d24ea,de1f9e35,de5c45ea,b8a9b48,9e7a0b8,4bcf5d31)
+,S(d3ab5380,1f1b1f7,36d94c4f,2af00a81,ee1815ed,83dafdb6,ef5189e4,13a32552,691c4594,657c0809,f7b6335f,fa4fddcf,8af5b729,9262f790,2ef12e34,f546a401)
+,S(50bd549c,2da95051,7b4c72c3,67074539,412f3b4c,45ec69cf,aed0fe61,25b50d7b,147f8768,515cb545,2f291d4f,5a627f36,5c88b2b,d19457b0,1fa711fd,9bc71abc)
+,S(a36bfbc2,330165f0,728578b9,ec81d14,c0417090,e6ed73ac,e8aff550,2ad9c62a,acb88155,5251f37e,f31aca05,bf33f9af,9ccc57df,58692067,4f11b787,8c7c9337)
+,S(2be3d416,ca9627d5,9f259f0,1d52d915,9972f50,c391531d,70a6b79f,735e7413,fc0eaf6c,97d11c6b,cbc2722a,b3e821d5,363b04b8,edf2b700,15ce37f2,f70e51de)
+,S(7ca7ca3,393a9884,c94430ad,20731f2b,7629203e,9c892d22,ae6df1a9,fa66aecb,c05c74b4,e2580f6b,9be6efd4,379b7631,26d3e0d6,d4e9925d,1a7f874c,fd620f43)
+,S(6805c83e,19aad851,6fd7a4b7,e9bbb82e,28d9d0e7,1f1608f9,dcf37a71,3b434893,2313791b,8fc68b18,444cb309,9cadde98,f4c95ff9,88ddf601,ea3eacb5,bf1c1512)
+,S(7540f073,3a358a90,80d2b07b,64e179e6,5de8010,6eed4eec,dc8c879a,87d007ab,998820f3,bac2fc51,48b0823a,d20b5f77,eb7acf5c,fb2e968d,2b98711,a1ef778c)
+,S(6eb9b5ac,960407e4,465a0c22,8d98621e,47f169f7,61189aa8,f7de2fe8,79daa64a,6a32f21d,379c38e9,229ed85b,33b4a35b,9999281d,f96ecdc0,18d2482,67d85d54)
+,S(e32d3fe0,80d92f46,58331d25,f0f2bbdd,43671885,98cda416,7b4920ff,afd5cae,61a8a2bc,aa82c5d1,1e958a0,fbfae374,138efec6,84ea8e18,af1d13b3,5388d1b4)
+,S(22a0ca56,c95c5221,3ca126b,65e5382a,5f14d17c,976da5df,54942495,43415d70,4cfbb8e7,7e3f04c8,69e62ffc,edf23907,e8b17a48,13fc95d3,cf307e2,978e0bc6)
+,S(ce3aeaf2,dceb0f4c,50120b90,fc027d7b,b5a4cddd,fc337e05,14298873,e3ff340d,49f2b65c,4a64b462,69e93c2f,ca6cdf14,b0c81982,b095ed3,644805c,cf333021)
+,S(75251b27,b360b236,9c0cb297,c5f6ec1b,70f6afbd,5af1acfc,38bd765,9c9dd5bf,cd0559b3,9b18ceef,85c15189,fbd7a93,1ceb3f7f,6cc93d3d,7681f564,17f3f891)
+,S(9d69e5b3,32a9ba92,17884f7,e7a1ab91,53a65c43,917c566a,c2969f50,accb9047,9ef330b9,d347c93d,a9441706,a502491d,55d27723,ac1138dc,751308ee,fc6b3a37)
+,S(783ccac1,f7d6409f,758849b6,f7c4d5bc,401fe5f5,b08c2f84,1e0e3fc4,fd7a2d47,e5c62a27,65ea5ab8,6aa1aa00,9297d1fe,57248127,a5d3c36b,9665cd93,b6255f83)
+,S(dffbb444,8362773f,e45e0272,eeb1a8b8,fefee1b5,59a6bb12,b9613fe,55ef33d4,fd539cf6,aacc930d,2ff104dd,405ae6e,e4a6b3ad,1a9a0038,f4ffb4ba,1a6115c5)
+,S(cfc948b3,c14d06fd,c528d299,22305663,d7a427f2,fe08cc2d,942528d,dac8ebe3,81ab799e,5be02ce0,d3aece6f,c6ce84ae,988872fc,ab640d96,c3ea6bbf,3e2e709f)
+,S(d9fb08fe,6a7cb6ce,721cca32,74e20732,5933595a,e59aa0d8,811008f5,cee83490,2c7f1287,8b6ad3b5,88cf9483,f08a92ca,ccc18ece,93c68297,4d80ae31,54965938)
+,S(4272b558,49ef0ac2,d7830183,bfe3cc45,65ab9d9f,32b9366a,b0477d1,ae93956a,caa07aa5,d117616d,9f442b94,40549bd0,f64e7a2e,3cf96053,bd14faab,196c698b)
+,S(69536c0d,6404b026,61598e11,1e6eaa4f,e50a2cfe,879b0f74,4df57727,933367fa,aeed065,2c5325a9,53913334,7e4fc4b0,d2583608,c2086bf6,b2e5ad25,261c6bfd)
+,S(199589ed,5c4b6e24,65d58257,2fcfc194,60f7643b,7019c02f,8038d04,70368268,c48567e7,ef7a3507,14d1b479,1a70e7b0,5c1d4351,eabacd9a,1d8d5e80,a5da23c2)
+,S(ef3c4f9e,53ed652b,f48feb4d,1c7b711f,5526dfaf,6588007d,1c2ce942,86db1f4,128e416d,570c3eff,d45da6a6,31246fc4,f45b7d2b,8cf85a93,22b5f65b,361fc49)
+,S(6bc3a126,11ca8f8,3d0790c9,f5b5b137,4ce51c66,6c553ff6,9d103370,3b3d7cc4,b20988c9,4b882f50,a0ba8194,2f168bc8,f29eb6fc,4c3d0149,571968e4,81b76ab4)
+,S(a0100574,5ea131b1,4c180c17,f26bd3c8,1bd48ca6,c2310c4d,34bad277,6bf51aab,177551d,299c9ca9,92de3e9e,f82b115e,6d3cea9c,fb276955,5509795e,4870a546)
+,S(15553b6b,defdbee,532599ab,9e0de23,b4954dcc,912f49e8,f084ebb5,af6088e5,8dbaf203,351a1119,16e8aeb2,e5eeaade,b0ee5d9c,2f5020,62b9f5cc,ca40cbf5)
+,S(ae84a42d,49dad25f,f0a5320b,d6a33f8d,79c9f2c7,2871f41e,f8b02cc2,c469452a,9b23f07a,234782b1,cfa524b1,ad539ea7,b8fac3cd,e9bfb867,799a2587,95a48ca8)
+,S(eecfc7a7,a41f75dd,43e2b85b,5af33ad5,f017e0d4,8f9b9bee,f0cf4499,a3c762d0,65526d26,73b9e5b2,8ec256bc,a524e376,f0e40f62,2db6e492,e1c53820,a3180d11)
+,S(35e427f6,d0be7dc1,2d306ecf,be9fd8ff,107a044f,81c38c8c,5b9a181d,f4565440,de09eefd,27a8bb89,d8fc38e8,d32aecb,5c6bdc57,5cdf91ca,2f18e926,dfcca94e)
+,S(d27cec9d,11130024,7f71fadd,4ace1139,cbe3168d,174c93d,4c756c42,89cef3da,5747fbf8,c4040895,fded5c00,e1f60403,40e07827,8924ca96,2f83b3f,e50ed701)
+,S(df30926a,ca9062bd,7bbef9d9,e312a1cc,49442ebd,9994b93f,dc652e68,25efe5b9,8d1ffe08,de113447,5c3adb77,ee5aa58c,593486f9,c3f27c32,a20df570,6ff5c572)
+,S(c2602b7b,56d0eb73,ab494934,5eb77e88,787e54c,79558ea3,dafe3f50,84f96682,45885bf4,65996b12,993efe44,39861b39,84d5fa89,5242ea8,f498695,57391182)
+,S(d6d606e6,28c55e08,61a37803,72c17b1,6a2fe04b,e68a0cc7,60fdf7ac,85c8816c,76b299fb,9e716eed,7f09c879,ea8256bc,a953454e,490edabe,c90a2e5,dd277da8)
+,S(d1bb671a,10ec5393,9d67f6aa,3b09e1b,57bb6414,e1f707dc,b832ff67,56289c4,47559cac,311f20cd,55760ed6,2e1e87ac,cd8603e4,c1d0cba9,79f6802,6b294a94)
+,S(739ab4bd,6b6132f8,2659fcda,5fb46836,7adf2133,37f897fd,70a9552e,786dcb91,b562e798,2bf508ba,1b932deb,3e6b5962,70bba4ca,402db3b4,d806da6e,fbf6670d)
+,S(a710cd7b,2aef0005,6d8db954,2abe6cba,2a6c6132,a48a6670,c501fa82,4de21388,4a6037d1,87db5b52,2996bb0e,47fc7509,1ad9eda8,e15faa56,92d56006,e72fb220)
+,S(cdbf59c9,b38e40cc,d63b36b8,b6e894a,c6baa22a,93a1382c,9d7fd070,58e69b7a,3e836c78,6954d509,348314df,8ce08f0b,59967aef,4e5f0136,9c6d0f91,2682d77)
+,S(1d32e93f,6e5e138e,7d226636,d5e0946b,8117f91b,bd59efb1,560a15bc,657e4dd3,82c43daa,bc1e23d6,3632e167,6bbca422,9797551f,f729cb5d,c8ac1460,46ed20f7)
+,S(2730066,cbe72e84,304e3563,a18689a1,c6c8e0b3,e92d8c0,d63a96c7,e3573337,8804d5cc,6aa91f7a,1ae23506,17332f7d,811b8f1f,752fea43,5208b770,94e67c58)
+,S(44624ea,a1607e8b,8bcbd736,9c67f86e,6b0f5226,4cc76a3d,b40042cd,bc621cc4,95867a99,d110d9d9,e382d3d8,a5dff78c,d8db012a,972a87ae,ac24bb42,b2747e53)
+,S(8ba805d8,864774eb,4494ca5b,f8257bf6,980466f8,30028340,8aafd665,7f1ef49e,1a1164e3,c1b243cc,57507b07,7348495,95cf67c7,b40d4d7f,f10ad096,3f3866b4)
+,S(297d0130,25bdd2d3,f4a008d0,d8c51a3c,7b16b605,95958d9e,93e427a8,7ac01267,56361e70,22138026,683b7bf3,1a6bedaa,988d3938,cf8399aa,e0f3175e,61d7e2bc)
+,S(d866bb84,23527208,e66f34bc,e26a8ac0,daea9d03,27c9dccd,cdf0e2a,a0588f52,5e16262d,3564736f,30f26e68,1c5ea26a,b6f63429,f0b25dd2,5635a3b3,1fc45584)
+,S(ab1e9d8e,b18e016c,d8ec49e4,388636d,5dd2ab55,8b3dbaa2,433a976a,ad8f16a2,a14cbcec,6327451b,15d47fac,d3f3cbbe,fef828c4,6ea07a0a,9c7155cf,2a2f291c)
+,S(cf2f035a,ce393efd,3032cb05,4f4e92ae,5311dd04,bf8f3653,5197748d,2094cd30,75b38e90,9f02bb50,7a778243,35a1c97d,75bc653f,c6dcffcf,615bf8c2,ec6b32f5)
+,S(a801d552,e63ba120,2c3ff08b,8fb025df,e545ed35,1adf00f,1a08d982,9e8bf9bd,bdb9274d,f5298fab,4cb08f42,252639e4,a24b553e,892cd1ea,93499c47,41c23165)
+,S(f7ad7a63,eb2b90aa,3de2a80e,844e5336,287984f0,6075d9f1,26f24108,f4a5869b,d151e7d,9766a81,1db45134,7cc22654,c5ac40f4,a1d82d96,2de02c58,d46cda31)
+,S(732541be,26fcc3e8,c824d539,28282611,96717b00,2af01bc8,57f4c0ac,cded0a80,d44adf28,f26370a8,3c9eee24,4e870dab,3fa7a508,bd14a56f,17c9a845,5055f8ca)
+,S(892ee5f2,a5266a86,5bf2094,14c31225,b92dffda,7a3ec00c,ee53dc0b,8c3a3367,21bef833,3b983665,7d243b85,c0b4e2cb,6a5b339d,831cfef5,d676c7d8,87a0df00)
+,S(1a4597e3,77569fed,70875f9b,f8f5531e,6bd3b363,b96a345f,9275365c,e1e64424,bd142738,fff7b9db,cbff1c,93a968b1,f0ef3e63,8279b745,21aa53a7,6e611f7a)
+,S(c7306404,4b4a3a00,6a584193,e915a174,631c8a2e,ac45973,c815a2f4,aee82f35,280adb29,4f9642cc,cbcc4345,28bacdc5,74beb7df,84c06216,68cc2fec,d78731e6)
+,S(c06d9d55,264e4ea9,e160fa78,78a7e4fb,1757f6db,fe610966,503ae03,b4723f2e,c0d82600,ae072564,b29373a1,ff1a036a,45f68f22,9d1594ad,1c9584cc,ab732743)
+,S(e878c0b2,bf38b500,6c309a51,5121a3c4,5b13440d,74ff6e27,5bfe71d7,51e6926a,4b8be149,11432ff6,c5169731,1c1db30b,c921cc95,b4c98a39,5228c08,b99b6229)
+,S(d1f6621f,89ac4421,7ef39a54,a0922c77,dc7addf4,78b15796,2558ae72,9b24f65e,657556fe,e02492c1,97c9c97a,67bf1d6c,eb689415,80a1ce6a,1e4d98d9,64902f3a)
+,S(f9199ae3,ae51f441,d88d72d6,9c1ff64a,d5cc4979,b5fd6a23,c514e9b4,66ea0a5a,3c484bb8,8ec31009,eb95b971,69c7ae03,c20dd833,eef53cdf,fdab8cd5,7a82d4eb)
+,S(4e059bc7,516d5fe2,510ae63,d3ca9543,f840bff5,710a744d,62de3965,af6a657f,222309ca,242c5858,5a792045,bbfb3e55,b61daa3c,afedd1ee,19a0038b,f929a47)
+,S(c1673413,d8b4298f,6ca04741,a3c32d79,83a7d5b3,dd39ada2,53013d3c,9750ac65,333b1660,7b998e8e,fa7e3d32,2d51c052,1de24d3e,9e389f0e,9a00015d,6cc32d54)
+,S(c078723d,8abfbc03,63f12766,cf9c6261,9c31173,5f3a9654,b653a8f9,e08f551c,880fa5d0,be09cb8e,4f145749,1c7f54e1,ceef1477,ba7ed718,5f27013e,32deb89)
+,S(c77f3351,4b44b047,3835e3ff,abe8d7ac,ae5f912d,aea4e6e0,4ed03feb,78c41ce5,cade531d,26ee668b,5e2fc7ce,421de2f,d9a14dfb,87286c22,c840144e,1290e910)
+,S(90e14c45,4ba40739,10f800b2,bcc7b017,ec58660,bdb1e72,16cc6afb,8320277e,61dfb75d,f5f74d47,287f828d,c4ff46d7,fa351a1f,66da99da,40e74758,2c6bd4b2)
+,S(34c65f34,23f2474b,7e2f294c,ed4da6b5,c05d19ef,a2b5a792,103b681a,be1a3f68,d0fba1a3,b12d3e4e,f18acdbc,68fc285b,8ef1365,6aa900c8,c86ae191,37f028ee)
+,S(fdcc63b0,aa5017ce,215735cc,2802eee6,aa5ef53a,6a258dd7,a128ed7b,9a5df38d,217ea863,5c9b88c7,19c7f9e6,1286844b,d4f4b758,81535954,7b24df0,1fd5bf03)
+,S(10624260,58bb9f6,a5e83740,59595ffd,e7013492,4392c753,15853f4d,9c7070f8,84a92509,e809874f,86e60bdf,85c75d7f,2cab596e,185f56d9,262b06e4,e79cf785)
+,S(e21f29c6,70cfc7e8,b104921,bb524414,53acdc5f,fd80066,39417966,ca235c9d,41be8bdb,969ddd53,9093dc1,b85dbd4c,a78f7e68,67fa916c,36136d24,b6c4af38)
+,S(154a85d8,60b532cc,16bfdcb2,2769fdf3,6dac818e,cd2daeb0,864eee0c,f78a5c5b,15f2dfc9,3e5e08e4,9d340ce4,bb805afd,79f940dc,f97456eb,c73b47ea,5098e429)
+,S(ae6f8b12,d52907e8,4ae5063a,114f8e2a,da7be317,454ea505,571f2132,5e4acf42,49376af9,1aea68bd,cdcd637a,909b639c,b7ff8800,ee003fe6,540d6797,f0f296d1)
+,S(de42ac26,47fece4e,69341582,7e3c5b7d,a19dbbd6,22da9fa8,58a3be29,8a47bb65,e57cc346,b83b33cb,79a34805,42811d1d,4178805b,a2b88de6,d90b4fe0,ba8e2740)
+,S(14c2030a,c65ec50d,2f7c176c,45256587,59cae0d6,55cd57c2,c1ea970a,11d7bd0e,f3d9f0f0,5881801c,ad4df439,3a3bd2df,1a045181,af7ccbe6,7500b02f,61edece)
+,S(32fd40e4,7a94e51b,e4c927c1,42b5f470,b2abd2b6,2773934c,a29a5ff3,924b2e8,b3d74958,f17147e5,1da38ded,7cb09c27,96b7e36c,3149d85c,9b7db85,acd89bbd)
+,S(fe468154,cef5383,4820fa33,ad85c158,33635cb4,a55870fb,f588fa6,b8d2918c,96650453,25235606,7bcbc214,b0a04021,bc71c9c5,4617b1be,dd34e6cb,dbb42873)
+,S(57826e08,8fa3841d,a33ad3da,e5b5a688,1ee770f5,bfe45f5d,507b4801,ccb511d9,6cb01dc4,4da6d83e,77a6e8a6,d374275e,7d8484fb,4863b5f0,34bace60,30e6b3be)
+,S(61bf08fb,1d537624,1dca6119,19f0dfcc,7787090a,6747cdff,8757b037,a1ea59ae,6bcc632a,f4f43c6b,547e6ac5,5854268f,1801614e,5bc9d4e6,ea0dcd99,79f7adb1)
+,S(f54dac2c,b5521855,9dc274ce,25b77645,6525e91b,c011e657,5ff812e8,d846ea4a,bb9734dd,af492c18,82bd36fb,f365009,bd41b8bf,1378d9c6,a18477b9,ed627f11)
+,S(640ebea4,b85cafa0,d5a38ef7,7373bfb1,36b9571e,f9694724,680e92fb,13efe03e,eaf8d756,c70ee813,60dadfd9,702f660b,516fe3a8,4c50043,92bc7c1b,892a43ac)
+,S(6c4814d1,e3c6c16c,366c8776,93b6df4e,266b45a4,26fb0d5b,a2d8fef3,a3803975,d9330c82,8fb02d63,33d57990,b6bedffa,ccd143d5,1b5eac78,5c7f058f,af77a37c)
+,S(8dca10b5,95293452,7bd2f264,6170b6fd,59d636a1,f2578b6f,cbde0c96,8bb2db30,50da6972,64516689,57d2273e,55dd046f,1c398d1b,9e5e864d,ae6746fb,825ec83b)
+,S(1409a8cc,34389c3d,3fd1b482,fefdb25,3ba32070,dc23b7ae,6b8a1ac0,2f00b776,f8f1c0c6,3bef8011,27ffaf53,d5c07c,430566e2,6c4a9591,f92d694f,82d7a9f8)
+,S(1c752b3a,2cdb6257,fe8bb102,e7560b8c,6f86e7ca,e809892f,58df3b16,728c0999,9f1341ca,61dd07f8,882596fd,12531577,d09fcb45,5a086b0d,17dd5390,8326c741)
+,S(ae8bb1ae,a4341bf4,c18e7d99,7bc3ebb3,d9f13c9f,b01b93f,885cb32f,d0586999,92eaf2f5,c4e231a6,851a2324,a146400e,6b9eaf63,8eca473b,9d4e034a,3d5c8e6b)
+,S(e3d2429b,ba45b4c,2d9c9bed,45f384a1,7d74cd28,56c87772,6d9a98fe,67bcef97,729da85f,927c04e2,c1db1458,c133bdef,c454d0d8,88262b1f,418f3420,5df2380c)
+,S(858ee23b,e5166c66,b99d48dd,24cb5078,fcad23e4,a8df9f91,53ffcab2,fb8624b,c5088132,3af436fd,c4f63b91,b06061d4,b26fadd4,6bccaf05,bbe1a8b7,338cdbf2)
+,S(7c6a82f0,e2d6c5a3,ba37be0e,1bd8d4e1,99f9aa3e,c9c58054,a66099b9,a4938a1e,881916a7,87e1f9eb,b38906c,c101b0e6,5d245fb7,733c0093,9a7f6f0a,9b4d113b)
+,S(4c980c4c,144e4060,c00e7476,c782cb83,42ae8b02,6a155904,c29837b9,fc25caf2,fbc05490,a62e49f5,6daac9dd,5c730f90,183ee565,d62ca949,5bc7ce56,61c2e8c1)
+,S(c9b66a8f,6c163037,f5bbc7b9,889e9cfc,357ed5f7,a5e5cd17,6a7e4bd9,6da2fa3e,4eb8b3e5,365a6a44,4b277b4e,89b89e04,2b44cbf8,b73f183d,42c9d8b6,547885d3)
+,S(f2f8fb3e,2bd3cd82,99e2faaf,bd5809f0,12190658,b1efa389,f58ffe28,c1056fbe,db6c4cac,35f78015,8fed40c4,341a93b5,64af02c0,12d4817c,478726fe,4faf8273)
+,S(8556c286,895b9402,283b5d2,f90ec950,f91c4dbd,6c1c8a0d,6b27cb8c,3bc7da8f,f2979daa,81ea79b5,d3ee2718,4aff3805,9bce1bb7,fa36cc53,4d139b83,c176badf)
+,S(4d4c2752,5f24a7d3,ec3673b6,a3c8f110,f5bb5c5f,e9675776,3d81620,90579267,43ee95e6,5834075a,83675a88,15babeb9,824d4703,763b5b09,8c3aff78,837b353c)
+,S(cc6689e1,d08b243c,a49a7020,b08ce4ad,817193c7,456fbf4a,97fca02d,f1ccf2e6,32f00dd1,1080c238,cc7e8c9c,60a1b7dd,7503417,2ad0464e,1cdb4221,35ea580d)
+,S(966525b9,26bb6596,584cbb3,5da78cec,e6709134,700974f2,6cff34a1,23fba535,b5c18347,52894cc5,26336590,d961af5d,2453d9a3,40bd151d,259d8be7,6c5a9e7b)
+,S(df7f51dd,b0e6c595,c8f3de9e,eed5da8b,b05e2cf9,a4555001,760888e6,38b11c4d,19759148,2d4f49cc,b69ef50c,a1cbf3a2,49e3958a,aa9af2c7,becbb72b,8d53f8e2)
+,S(4ac2754f,93745ef5,61d6d213,7fd2339a,81cfb619,b6699d9d,21897ed,975f6fea,854a0153,17ce38ef,e070da13,c07829f2,1bf50d40,6458109b,5700a3ec,ed6a3c0)
+,S(7c062917,2c59c7ef,2d488806,b1131193,b6b6f0e0,221d1ebb,eca1b358,43959694,77f73272,291c1c73,5d79857d,60cc9db6,b6128e86,4613b3dc,92dd970b,d5dba9ff)
+,S(c80152f1,e4b7728a,36acf22,158b8215,d8ce0ea7,401274a2,1139dd71,59d81557,dc0c54e9,88d2ee7d,e8a56eab,d358aaaa,4542a45b,a170db58,89d634f1,dae95df5)
+,S(9c2352fa,464cd430,31f43578,53feaddf,7d5ee143,c6403ea1,230961b6,377423c6,841277d5,71934bc0,20f71b36,dcba2293,65819fa2,b20c57b3,5774a524,d6fb20d8)
+,S(8d7554f5,fcaae19,cbc20c7b,73f22f30,aaeba42c,a22bef77,3d780205,8c8e1d7a,c6bfa4c0,9db5101,d33abd0c,47c4e125,bffab86b,8ed50864,6b6a2b0f,322bf5d2)
+,S(1e75acec,28a2ce98,5929479d,e0842826,bd556b56,6961d5db,66c9055f,b1b63635,89cbe475,d2036dbc,9227db67,d62b51e9,ac669a22,76e4e1e9,d0be9b1d,58efca6d)
+,S(9fe62187,5e71bed4,7d9f2d79,91e76b41,88b2c8c6,10f20d33,5b38bed2,eee85236,9a3fe290,fbe192f4,8a44177d,4f0d037a,fc6fa8b1,c57032b1,3d5894c8,c426e8cd)
+,S(8dc1710f,8869b645,73c361d1,ada3f43f,6f2c175e,b24ec358,6409e978,1687a220,37a4187e,bce1845,9520b60,9317a4b8,f33b371f,1a768ba1,96316f41,373ec87)
+,S(71ad2a17,5cf75568,214fbbd1,f177c1a9,9eb75486,c161f1b7,ad47063b,567e8d6a,29d80786,e42d9cd,4c801f96,a7d44eda,5e325acf,3b82e143,2576ff1a,3b334850)
+,S(be0eeb11,aaab9c1c,ef7a2004,731e3ca4,435c8a02,548b36b2,db68ea4a,56ad8b7a,cd7ad5,c9b7e867,1a1c7889,95e45cff,bcdfe42a,6222e0c4,1054a0f5,f7bb00f2)
+,S(364154a1,3a7d9fa0,b349c6fb,ec36ea43,51cdabfd,8fa79318,88e4ea5d,ee8bf6d4,40b40474,7e8b30a6,a3cdf3ba,f0956fa5,f7f61a2f,89a8cf7e,c2ed7445,504a71ee)
+,S(19daf7ab,c9f69a31,8b2cf1c6,69d50532,5bbd7254,c4bc4126,d7b31dcd,e7b558f1,6b740772,606874b6,5b1f819c,c7339ffa,30669d9b,2770506c,e9fb243c,6ee4a925)
+,S(5ab3dc00,eb9efd03,ae491844,50fe176b,765c5da7,d95ffe6f,61aa0073,7366c918,2603f1ce,935e3af8,af5e3d1d,d76a3410,200037c,87c17a93,96e11018,260dfa01)
+,S(47bc2c3,d7dd83f7,2b2160a2,64640e58,16316d0e,3272abf4,b859dd0f,6c7b27d7,1ceefb1f,23dc61a7,2f663d9c,3cdd6625,441a63f9,f9cae8d5,c4ba88d1,22c0f258)
+,S(b220435e,e903f1bf,3b443549,5a01e739,250be2c1,43f08a73,bd7dbfcd,75602ab5,3659abe7,953b817f,fd1c02b6,56da4e54,9df250c0,7c28e9c0,89ba315a,bf25e1dd)
+,S(be25604b,d52413fe,2c743031,98aeff78,c27086f8,97fe4b20,be5b6251,52fa2fb4,ebdb5191,aa195ee,a0a39bf7,399bbe03,76073830,fe54cccb,a3194eef,d8d34fe5)
+,S(5cedfbfd,633f16f7,8ec8a8f,3dad7cc6,edc1a6bf,3e37cf3,65069731,64aad0e3,70e687a9,d8632ed6,ab188f14,229f2e31,34a3adc8,727c7b0a,d7a16d78,1244c9a9)
+,S(8109ca32,a86fa712,690315e2,1bc09265,bb6bae74,588f507,1bedebac,47e54a3a,e7f3342c,6e8a3dd1,f6d02bf7,5610511f,d0cffb40,1c14633d,308c2939,e662cbf2)
+,S(54264a0f,dfb894a6,b29b6922,b859d715,77f0359,ef825442,e0d43b79,a0fbfe3e,4884ea59,cb88fb60,4ca4de66,110b7d98,ec529112,d4574cbe,9a2e7a5e,5a4a644d)
+,S(f2756955,a6a7db9f,eabaae3c,844cfd37,5d86ad8b,a84dcfba,582bf4a,273f90f3,b24c14a7,d2f60103,a7d3652b,c5e68988,390c0e67,1f0fca22,ed927f6c,96302239)
+,S(351da3e,6ab7c98e,840d0dfa,e7231d21,ca21a81b,3638371a,673892d2,e40498b9,e1c5ffeb,43b443ab,d31332bf,aa314fda,5a4c2634,afccfb97,67bceb3f,13ed5f3b)
+,S(b5107be0,90f84c7a,e3d89782,c6751b22,f9a7ad2b,3a1810c8,f14bdd8d,52344357,3d5571d2,36a7c9a1,aada0835,9e8ce162,c46a878,5e09265d,bb52b419,144c5b6c)
+,S(b6172135,85b2557b,7c253189,9422c428,79825eaf,64d8e8e2,2f7bae12,31c9ceb7,dbfe3609,df9b8e1a,33629219,eb241daf,42d8be2d,b9a20a0d,942f24ce,1a117e3b)
+,S(5eeaaf7f,577b445d,13481c9d,a567825c,f0a5a3f2,9ccfbbbf,d8f1f8a5,36e712cf,84a4352d,c40556ff,ab75acd3,b5a63366,39119d8b,f814feb,e55fb3ee,dea5821c)
+,S(c1bec874,44b0210a,9a86ca9b,94891d00,e1fee6c7,490aa26a,1af61f97,5dad1c13,14a61af6,d280ea47,433d795,1786351d,f90a9879,7678781a,8d9d8884,e88a06a6)
+,S(34787098,f0df9eb5,e4825449,6fd7eb6b,3118dd45,aa0ccea9,f606a794,126b9ad3,85c30ff1,c8dbde4b,88fe9ff8,20c9908a,a35a0c53,c2175524,a5929eea,5566a564)
+,S(6599b07b,5d31c19e,ee02e287,ccaa1bce,70890b14,cd739140,6f1d862b,39d794a6,d18396df,27e6fc21,a9c36a1,8d8f73ef,c79e6c56,ecbab9cb,83750220,a816d5ff)
+,S(27b50b15,c92c010c,60feb473,5ac6ae0f,9ec0af75,81e41a90,a3a940da,a1a44ee8,31c2c3c8,61e64b7c,df8ca011,bd4002ba,5373ec63,8c3608fd,619bbb92,3552c1b5)
+,S(40aed5af,953f3a17,f5d17622,127f16bd,4cc5bbee,33e23443,5f49c4f7,a48e7a32,e47011ee,96c702a1,1eff428d,2940ddab,d17b76cc,6765d5ed,126876ea,2496f6e6)
+,S(cb56977d,f69956da,cf40909b,69fe44c1,4a5ad547,a025d684,c9815ff1,b5331ef8,9904de7a,9ce0f656,2f025ffc,79e8b3a4,2e410ad5,8f0caa16,62a13e29,f0b00bd2)
+,S(11dc40ff,58c6d2a5,9768a776,41c611a8,2aa651c1,15e9d36c,bd3ebd18,ac7a0df9,4717af95,274f820,28592bc7,4a84e467,9d168dfd,826a292,5789edf4,a06e0e50)
+,S(3baee366,3d2033a7,f3170bd0,723eded9,2fad6501,702fa530,b26d0623,8d6992d0,47497025,41900ac2,fb236a26,81ca09db,c34fc84e,98ca289b,63e07d17,2e4671f4)
+,S(6b19e8e6,b2010e2b,d461d716,66f691ea,88417df6,773208f5,18ee5fb1,e0fb580,a7c74380,9f744b05,99b6c4e4,709a8b86,241ef931,effd9323,9a6d15f7,22916578)
+,S(412a2c52,b31158ab,9d3bf4ac,d4355eab,b7e94e98,6a839681,94a7322c,72bff9f8,c649c493,b19b713c,8b3c4e30,567547ab,472a599e,cc95ea73,d36d373d,c92f7dc1)
+,S(b5e0c57b,f79e7364,9826a818,bed1d521,3cb88645,5dc91a4,eb157a8a,dd869c24,752feebe,9614e233,3b876297,175078fe,f9adc63a,4639242,6c88ca94,aa06163c)
+,S(f656ab08,9e75bac0,6eaaf373,1cc71347,6a636347,35ab57c0,222589b1,e914160f,d05493f3,52b660e0,4cb00b45,5cede6b1,74337488,dd1650c8,4ddeaeee,b73a6ae9)
+,S(bd2465b7,b5af290d,2d1157fa,76e4550c,ddb23922,7d30c255,8f0cc3ad,ae5fa32a,63a28c79,cbb50c21,bcfc85ab,269090ea,d56f6396,1fcc6dfe,b3a000e7,3284880a)
+,S(d53c8d24,3dc3600d,fa32dd69,11a87ab,722108e4,192d7cec,4d84eefb,9b32a351,af681092,6afda47a,ef5bc91d,97f273ab,78a21c01,64f59c0c,ed66f7a8,5b67ca24)
+,S(4a83ae18,ab379d5e,f6cd2be,77f64abf,8fc23b52,edc88ea4,9efc1bfe,402432c9,e9eef9c2,f595ad74,abf10b85,6ea24ac5,603d46de,c320f9d9,a1453be3,92eef8a6)
+,S(d1df4416,dc7cce22,832f9ab0,b74d927b,f9b3b7a5,c52acee5,3d95812f,f26caa82,9e5242f1,163a863a,a5702af3,cdc21f7d,b0143f76,ddba2a2d,d592676c,57c310f)
+,S(e6add3b2,583addd7,8299fd2b,14b87155,93dcb13a,3231458d,ab6864ce,87b9c890,384bb2a0,930ecde4,1e9945f6,247a6530,58e26bf6,88226c8f,ee9a1ec7,a1f07740)
+,S(7d3f5447,295479f2,96c11443,eb9b1fbd,fe81a258,78ce4195,d2f01290,7e01fe4,d12e4fd7,9f66a45b,2596b066,651d8686,83e62627,95f681a4,12022046,86304ac5)
+,S(60636a7,45442fa9,57f21668,7fbdde4e,a6f7f80a,ea2832e,ca3ea43b,d1f12709,395ef963,bec2979c,fb211f8b,da3f4b4f,2c129ce8,26a35367,d955243d,3b40022b)
+,S(6bce0837,39c04ba6,b9dbba8c,f668bea9,4d8a8b38,2ac17b87,765bdd52,86e47963,a2d85e2a,7ff5c433,c2c77363,666ddd3f,3fb28f8b,2b7aea1,16a8f42e,384a0a37)
+,S(59e4e7e4,438ceba0,cad5f146,bc127c1c,df7f4735,f581a0b2,6a53a366,947d4581,32207f5,95fa4cee,3c8ea269,9578b28b,6290a3c,33eb0ba7,e3bf7267,b2bfa445)
+,S(ae2cb18,d4f053ea,3a497162,8c822f6d,72806f79,bd39dcc8,364ea256,f30af032,583d363,b9ac6fd2,709985c5,79603d9,4902da04,1563879d,245433d0,abc54a1)
+,S(bc4eb578,630ebde0,f58fb192,377de006,c630e96a,51219379,43e9a240,c30951f7,5224d403,4635eea8,e63b9e87,2875f27a,129de5ff,fae3d516,5f6d0cfb,5bb7e584)
+,S(848ca19,6fc34e2c,e484f74d,79565ba6,9685128e,7b2d21fe,8cf0e4b1,edbd3b13,2a41e449,532de110,e0d3fbb2,bb794fb9,32d0d4a6,33aa65f8,ec40e5bd,5c4314ef)
+,S(b90e1d09,4257ae30,bd12debe,648d4cea,3f063740,e3f9d3fb,c67eaa4b,8ca0bcfd,5604b475,31b28a6a,e0a13a47,31f6cc70,de91d429,d2204d45,e1423652,5a5a4b43)
+,S(430752bc,3e1191f3,6e084f2,5f3e30b,da104f40,1de93267,62dde1cc,39d94c71,e707daaf,841f62f5,6d9c45fd,3304e616,30b6af9c,d6871476,6132e127,40f5ebe0)
+,S(ab919243,c8bd75b9,d67f331a,b3b487e0,ee9c97ff,c35de7b7,e29827c1,ab643be2,d4d853b0,3971f1fc,ce365db9,cf4a54f1,5e6059c3,c5138b2e,dd765c51,7bdc0c7d)
+,S(adce8be3,2277c2cf,6ee46781,f1da8f30,1cafea51,18322adf,8d6b8a29,fc3f7551,e819a7fe,73311592,bcfda0a7,3609748e,6c039066,feba9e5d,41e125e8,4dd67fb4)
+,S(d6ed759d,15f5d47a,146e7fac,423b952a,5eabc238,a0382762,c2a226ed,8c24b601,456caee9,1c212f19,acdc2d82,9eb90cb0,2ac35a72,8d280042,658af65a,b6840e9e)
+,S(3583bc8f,c3ca09c6,6f2f4fe2,83da5c47,f0ebcccb,fe8e94ab,fd315173,fd3fb2be,ed60aa95,504e9b31,81225d0c,a4f513c6,6da2a2ce,9fa9afaa,c12e04c4,f1d50b59)
+,S(223879b3,b9e50b46,7bceda29,905d09be,1acb206,5b23a61c,686d6f39,bf0744d4,a8326789,ddb38afb,e993ae33,6cb1c3f7,92addfad,e47663fa,52a296a3,b6f2873f)
+,S(29329ca6,c6ce20b5,81a90873,7206d44a,95ff382f,1ca0cafb,755a3450,83883d69,5d2aa87f,59e13a0a,8ca4460a,4db7f496,1c118ab9,b4f783e1,305bf43,ed44fe71)
+,S(e1c6a08c,593454a4,aa116edf,13345cdf,6dc00b1d,b63b7a64,fdea70bf,e4301ea,e0f9f3ff,5e7e395c,42b3e093,87b8363d,37092335,31c317d8,1b61f20d,f06fa662)
+,S(da098bf4,133f656d,f2a09d95,c437eaed,fadb4c9,8102d164,b355c7c9,38e65216,74ffa0cb,1fe7f0af,8a1a6ed0,531f8e98,28be1110,90b580dc,5ff55fe7,b75d9b66)
+,S(f3f7c27d,54b40dec,5b3da04,b2cd222e,1507aa70,bd236bd4,2d6e5c95,c71bbe7c,80e17f04,7cb2203c,cc58c364,d77e9a1c,8abb092c,18a9f8d5,6edcdaf6,1ae4062e)
+,S(466b6e28,8981fbcc,92c4ec3a,a54eae4e,2e266041,5b242aa5,523579b5,b1fe93cd,9ae0e0c7,d056b2a6,831f540c,67a97732,33bedbd5,bdcd2904,2a8987cf,1fe2a86f)
+,S(e15af336,8c59576c,a36b5f80,d9ec0458,d9534bf2,6650cc26,a2079946,ac43fcce,7fe0423,e6ea121b,308d167b,ada98cc2,fb8cd772,f95c3d84,c1907f09,66e5b46c)
+,S(c20ab235,6dfe247,d8fd1a9c,d8c4f16d,a5322bff,692efe70,f256521d,1b990492,3c0aae11,e4cf9a17,57feb324,e1a2f0e,48d5978c,6007429d,ab32b2f4,d1a19bd6)
+,S(d8b6c190,4a848755,f126651c,d96fe374,7c5a3744,1fb7048f,e15c4693,dbe35e17,fefb5310,e7e38891,70fca6ec,61ffd2d3,72605ed3,4bd22d73,c852a92c,c22fd30f)
+,S(a8256823,5416b18,a01d2df0,f47757d0,f42c26e3,780ae6ca,2421aef3,83361f8f,c9192412,77948b80,87d1c45c,a95224ae,5f9c294d,fa74c1ec,42ad6004,f8646540)
+,S(28f2a237,c4dcad5b,a6bb5274,1e743020,e90bc598,8ee66b39,cd672ed2,ccac6c33,416c59f6,c1b1b036,f38a5523,722954eb,52848872,8ecfac4b,5bfea63d,cfc181db)
+,S(e65d92b7,571bbea5,4e541862,a4dc7890,bd546782,bca886e8,3c1ea17f,33d77e9f,6116ed43,13def2ae,6b0f2b92,ff07c91f,4139982c,12511152,fd7ed5fd,851bd04e)
+,S(68adb9ee,c7ae0198,726b0457,91fe52b4,b5c2ec78,4199da86,bceac230,d55914b5,41ff0808,e42aae9f,e93ff704,6f08fb38,4b72d7ec,7b1dc6cc,e0071306,7ee5cfd5)
+,S(3f0f7d6e,6bf73a97,40eb842a,35cd4800,85db4766,f7fc374e,1ac915c0,e4d6d6e2,392aecf6,8b446346,2d37a106,8299a09d,9ceeeaa4,f0ee3397,dc54b2f3,5e3332d6)
+,S(929aa2ad,48a1f3a0,24fbf7ea,70e9d57b,9ef65afc,b3cb2d8c,5041a933,321359e4,b1cfddf3,4693ff40,ef16d8f1,8fd1fec,a71252cf,ee13ba4a,16094c20,3b4fbf66)
+,S(9a9ff691,f16ad46a,d0b753a6,fb09025b,e196b443,839114a9,580eb2e7,fc494e2a,3776f83b,92c135f2,5e5e600,27f65e2d,582fa2cb,f5842c3f,644fb726,1e305c67)
+,S(6752b226,65900d81,47ea6b73,25b212a2,9bcf899,799eb1e6,213857dc,6959d32e,fafdac9c,2f791be2,d1cfa78b,7530859d,c1b2ff43,e546de14,1f42baef,3d6d1371)
+,S(9fc32749,e636e845,aebfede1,1d0928a1,8cc6e3b4,5a2536a9,fae0a2b,ddca6434,9021fa85,56c5fe05,cc87bdd3,6cebb00b,3d1b77e1,80ce2f8a,a4d155ee,84fc6441)
+,S(60ca338f,ff905b58,b1d70d5f,89c4cebe,15600495,698b262b,e1550da,a0054a99,6d57de6b,f7c637ac,4d728090,9960ce01,4b541abe,754b82c,bfc87ad1,5fbe6ede)
+,S(91537a09,697d3658,b06b853,d07153da,6d0228f0,786f334,db6151c,64becb87,231a2595,e04dadb4,b3900188,9f34b43d,5cd3c81c,f13fc6df,d432a377,4f53015)
+,S(93a85356,195e109d,ddf054d1,2a901d83,b10db692,fc17e878,849eecfa,5d387fff,58f2112c,3df38b46,51e347fa,5aa8569a,48d95b2,670c76ba,d0de339a,72ee87e4)
+,S(d5d1f0ac,bc2ed1f,50490030,43fd020d,7a1afb27,cdf78318,6a043bef,b0708eec,c473908d,4d754fe2,a5fdea86,62a6ad21,b711560d,77ad85d4,e3b47175,b5133e52)
+,S(afe283d3,8cbb257c,5f2c0dde,2fd1bd56,2ad33e5e,605c24be,51a255ec,5725b1bf,a050f64e,978a9ee6,36885656,5cf22d7c,2fb45e64,6df60abf,6d3f9e1,132311a7)
+,S(179667a1,72e0c37f,33e835d9,b5b6f326,3d963f37,1dd07d40,e790e0a1,21765180,da24290e,e38be6aa,ea2e86e6,bf683d4d,90f5fb79,20257b78,aee8be4d,fa65eea1)
+,S(9add8ed2,6feeca4c,d3e583f0,88398ecc,f245d30,a888e135,b86ac1a7,e4e42d05,41bcd07c,c2e6acef,bc488d74,8a338c9a,7e6d3e43,85029f75,63dcde83,54d82232)
+,S(25ba1237,6bb6e146,5195db78,29f51889,869dc972,fc9805d3,f6dfabb8,bce6b,a39dfc2d,223f924,47ae617d,537a4877,e6a47e0a,7e5fdbca,e1bfc956,a9c42571)
+,S(dbd78620,c9a75ddf,55d0a41f,7312ec44,d3108f34,e7d75195,d3d49f99,88e2f986,c184bf06,ef304b72,1637bd3a,d511dc92,297dd5f5,9bd8d053,a048702a,fdbc400f)
+,S(f8d67c64,b71d14af,b07d734f,675913cb,7a1bebc1,6e4a4916,44f8f4f4,6eb69448,eda6023e,5df40a5c,89a7bd26,94767a5,f17042ad,f95fb4f2,88bf9fdd,b91b280f)
+,S(fd5f3228,56c096d3,4683a672,64ca5d76,58a8b7bd,41c3c1f2,5de2e6b3,164c8fd7,8372223f,3fab4f89,f6604b16,dd66db85,b8a27eaf,30741bd3,7a90d34f,f19c154a)
+,S(ea49d0e1,b07948b8,b122d52f,8e8be6c6,e470262e,1c239b40,483a6076,c005136,b81ee77d,3d8489ab,42a9978,48a2ba17,273517fa,604a2abd,f2e1e726,d71b7e19)
+,S(bab8ce82,c1210a99,ce17a5cf,3636baa5,52cc793f,89fd25bc,b6f078c3,92149bc8,afe2bb15,d00cf460,953a7c1c,8e466556,136ebd4e,ebf61a76,e49726f1,e3aa8e73)
+,S(98802d2e,225bcdc7,9e02e746,891cdf12,ac434154,c08c2e78,589dd9f4,27277e1e,1eeb6b5c,4fc6459f,28e3fc49,6d9a6baa,fc66ede0,85d4b0d7,4af45840,78987514)
+,S(5dc54290,2b33fd65,7d37a22c,c669ff21,75825cad,b34e1ee4,7aecf7f5,2dfd750a,41fb96de,60564df7,6c8ec857,d7f0ceda,2b330fda,2195a70f,5f64f973,ec0144d6)
+,S(c4894f07,f6679f4e,13369495,dd501aca,73666303,2f7bab6c,fb81d7a9,1495834e,31b7e5c0,35e81c22,89de373f,85d648dd,892021e7,1d120742,e4ac6af2,44a25a8d)
+,S(f7c9950c,d5c5afda,ede613bb,8f21ca15,b0e92487,81e16378,c7f2cba,5efd7beb,1746037c,b9211262,f0867180,16f0fed1,75debbb9,5eca39df,ed757c02,aa282d24)
+,S(96703c67,4e7e2859,f274e7f8,d458f7a2,89ac0bc4,961ef3bb,b120a1e1,b82b5a55,1f92a15e,5e8b476a,a165823e,59da387f,2f9ab551,4703010c,c35b787d,c7d8ddf)
+,S(4e8fa83b,bf9307a7,8b997e49,68227e86,a0402f0,643f98bc,5d13837b,63d08156,81f1f92,bb2a9ca8,14cd212a,6de7ebe9,7a04ed97,4de89e5f,cd8749ba,6e49e4ea)
+,S(bc239122,b0cb1f43,2ed0c2ec,bb3c5391,b7eebafc,c4190fc5,8f62d313,7f58c1bd,5b3cd401,d9cf971a,6b9f70a4,b6f8fab2,d0026a24,cceaea2,a86aef0e,a76a3cfa)
+,S(90b7138d,5d2e11b2,86d29b78,521aa9d7,205351f0,1451e134,8a593b78,fe5f1778,77cdd3f5,829af7d9,937ac98f,58a78b99,b54fe9d7,593415f2,18dde880,b5039a37)
+,S(631d0fd3,27bca9a6,aec8eff9,54fdde7b,df43edb7,b1f602fd,a32c387,825841e7,d6e8af71,273702a3,a2a767af,3c438f0,b07ab614,2fd0f67d,74a9d358,74e29100)
+,S(ac2a0153,d810371c,6a7bc097,ed09be67,14ae9935,4a9910ad,7ee77ab9,6d54cdee,39707795,a4f01640,87b5e149,2ec8fc1e,be11d8f7,c43555ac,6f4674fb,8ac5b0b0)
+,S(89751ec3,c1aeb288,1953d3d3,f2f634ee,29b1aa18,c55b8b62,59d5cadc,852ac99e,8b4d51e7,e2f94c0e,ef80e16d,9b62c935,2ac91394,902537f1,e93744c9,72f22a3)
+,S(849a6cfe,5e3ab81,2e21f491,4c6ec76b,5233d405,7ffd487d,bb0b5091,2ac499d2,a490b967,b5fcea21,d0135ec3,c9ed5efe,ecf7ac6c,81e06648,66cdca60,a1be7037)
+,S(4ffa897e,17d760e,41859b6f,3bfc421c,55fa1e31,eb999f72,5028be41,cc8a9ed,87b4b5ab,d9875b94,aebe632c,64ea441c,71ec7353,5ae2c83b,d9b904e3,7f7fd326)
+,S(4fda56c3,8bae34b6,55b2ed2b,621e5074,7ed1dc13,a1a815f3,be12a223,d54c43c6,6cfaa7b3,c53a1dfd,a03dc7eb,6086b84f,ac280c55,7c357d16,fa5938cb,c149bb10)
+,S(b572c9c7,9ecd2ee3,154c56a5,9c81444c,b16df1f7,82198eb7,40a78c7a,e5c7e99,a1fb603e,42d3ac6a,5ef5dd74,ced31624,fed9086,5b02b3c9,2bbad21a,ffb1b79a)
+,S(a77038c8,e79abb7e,a94b4e17,35f0f5fd,a07b1ad3,367047f4,895a5104,dfeaa623,e9bef9db,e8e2078b,346aee0e,efd64657,2210e451,ed2e8d63,b92be059,c577e1ea)
+,S(3158f3e1,14de5071,c6e2bff9,32f1c269,7e374dbb,786e960b,7e59df03,26e2e1c9,1d0e950a,9124a626,4553d29,3e5cb8cd,9dd05d45,f48de2ba,f60fcee0,ca42a9cd)
+,S(b0825b69,373aad7b,53c256c3,1258169f,2736d47b,1c4aa22d,a052b864,375a807c,23ec01bf,a857fa0,1f3d46f8,7857b211,f7533c9d,611dfdf7,951d190a,d7ef07db)
+,S(9578e6e2,1a738f66,ca04647c,ec610da1,afc5602b,1e72e096,bd192ed,f19c205c,fb5da982,7208b4e6,11e6dc5d,dd8b8ba3,569a578f,275e6d21,3417fd37,7e4e6cae)
+,S(a0aa979a,5448d27b,e42c39e2,2fcdf40e,d3b64c74,42b2c40e,2f6d38ff,fabb196d,7a9bf938,937be244,38aa212,d9342f98,ab9a35dc,1361fe56,5d04a25f,176eaff9)
+,S(f535145c,d57aca97,f4cef68b,ce57d5fb,62ccd1ea,b48dfeb1,3b87b188,4614be82,1323e73b,dcd6b16f,bc481294,198d8235,b98a1885,a336f07d,593e5df3,a21ccc11)
+,S(587d9e30,2f9d60ed,eeae03ca,252cd2fb,117bd07,fc91163d,a7cc569d,1b023f9f,7bcd5b42,3c01038c,9d3f7f71,ef52b4ef,a99e4be1,6de4314a,5e517e8a,950f45d5)
+,S(b1e3b70,aa8a0cab,ec119ca0,5430396,ed98d9f9,e3e1a650,94cbd985,4cbd0932,3c9496c8,eec7dd92,9718f7a2,8c7a67b5,c4e55d88,5a943cc0,deefbd11,fa4f8de2)
+,S(8f7001e2,928200d3,a478ba12,424be4c8,de8f16f2,a932e000,1468d9a0,48d57816,bedb10ab,72eacf26,1ab17a34,e5138686,34995952,545129b5,5bd6c7cd,84b50bc3)
+,S(c95bae04,e1c397e1,498822f7,b7910019,922e43de,83119ae4,8517aa9b,aad6f35,8fff7d3c,d8bd7af6,c8523375,84f73aa,2f1b03c6,585c7987,98fe29aa,36620486)
+,S(228fba21,ffe5ff9c,e04017e2,7cf04c71,1cc454d4,534d3404,49bbd1c9,60d2230d,825fb4a9,169ab67f,50963731,10f27fc3,f6f7acbc,9f2918f,c6f0bfa8,a92ed32e)
+,S(89610875,bb7c5f53,87929e38,22249817,ade80ed2,a69dec5a,eee31a48,6c40e316,f7d5f522,92a53c2a,447f9b6a,5c06b3f,22fcf19e,4a200ef0,9167c255,a373ef47)
+,S(9f0542f8,8e7e2b4b,c20b7b5b,87f051af,6650f605,67dca77b,7b6e1ccb,2a63f6e8,2b80c840,5e343203,d0a7d1cc,ccc99736,4bfa10d0,6e71880d,a0955cc0,b1ff98a2)
+,S(859b6ce5,b7075222,549b59bd,3de967b2,1655d163,c57e94e5,6c9fae12,e5222061,25b8cf47,baba2000,19036027,fc86f03a,1c4c406c,4a8b2c34,398b7191,bf125aa6)
+,S(e6febd1c,91e66c5d,afc7caaf,4150a023,b70c57fe,2a14f84b,c9fabce7,34982ddd,b606e3cc,f997b627,a0a02c4c,e147e0ef,58e3e275,a43940a3,4ac74760,457ae5e5)
+,S(956912,ea1f5ce3,52d39e67,a41e4ec5,8c7106e0,4552e1a0,48e4b195,6cff8c01,b1eb2fe7,7419c11f,f7e34dfd,a752064,39fa2e6f,b9f9d34f,70740950,cee3cf40)
+,S(1bca39eb,9b6a5d5,3575e510,6955143d,a6fe9d67,999500,ea78cb89,d832ddba,47afc8c9,358e5f7f,e92370d1,44ecac99,4e69afbf,6ef1af7a,32adefb7,9331173f)
+,S(2c6db85b,c4d84c2e,61f0b5c6,2f330e7e,dd672c63,a14fa534,9e4d1488,ad462c5c,bb488565,cb2da5c9,be8a6f6,c71555bd,d85b4a53,20ca0753,f524f91e,ca1e331d)
+,S(f66c0d73,36bc153c,5f85e297,52845255,8957a08b,603e4d3c,746e0c19,572c9f82,74e32022,faa58df3,1e4a02b6,f00ce5e7,bf34ec93,d8095144,a1af69f9,c637f01a)
+,S(774959ef,cf8c126a,67012f8,10217d39,298040ad,da97e973,9fe13f9,927f6757,c33b9f7d,b2901f8f,171151c5,dd8b890b,62c0a1c1,9b7d4691,9c23ed00,cdafdc24)
+,S(f59361a5,74b69786,f7ea4abe,44eef2f4,5000328d,dd72c2d5,a6dce9b8,63037ca6,34deb360,ece45bb0,a2417618,e7c67adb,24b33620,80d464af,a1ef20ae,35da05b)
+,S(add233d,31c179da,bb62567d,2a5bc5d7,9afc5c50,93dc8196,9767ccf3,8790a5a0,b9ecd675,13d81a64,8ca5ab2f,4d580d3f,7f7d4def,909f2759,af61e497,b6d8f82e)
+,S(3d204b0d,1d705714,7e947150,52a531bd,b6749743,5c94c7f4,8f821579,170fa257,ae20862b,cd86c6d8,e8344911,cfa8914d,f40e3a80,b762fd54,e2b7f704,4de86017)
+,S(22be58e5,1c5ce0e2,f1ee6f5e,523a2f55,e110c4b7,bd3135d2,39d7a25a,94bc13f4,56894dfd,6c2cb7c8,5689cf04,3c1d4221,a7dfdfd0,d05b1e68,cc41afb6,6a472a04)
+,S(6e015fb9,af8ec2d3,9f101509,f8f1fc9c,d95dcf57,82621ead,4651a062,c8487687,c7dc43db,d1d068da,9cb751fe,51251bf8,7f6edbc0,bb19925a,bc02cf6d,d7cf8554)
+,S(3baa1e60,42844786,fb720758,67ec526c,2e0f7fab,ac8e0eca,24eff876,47720c2b,909d202a,b40037e,9afe2ef4,d8638491,d27a1d24,98e497a0,908a52c1,52b1f8da)
+,S(689cad9b,2cde514,b9c25275,d6a3e68a,ce0b2216,4418a403,a83d88a2,4dc4d25f,53e7be29,165632b1,d1887aab,94c525f7,86166f32,56b44e70,295dd0d8,bb9f22f0)
+,S(c1cc4802,101d0251,76875033,ed9fcc07,a66a57a7,71ca1374,63d7c7b,655fdb6b,ffa73601,5dc4ccf6,8afc41e8,e254501,93eb75a1,60a98c,6c800d0c,f10edc5a)
+,S(888e34,86eef22e,2a25aaec,9bc9b84d,fec14fa4,c98e9d57,4fb9e08f,5b0f76a2,d2e3ec7c,db9286b4,b0223762,234d771f,a5b6f378,b6a4bbb3,c94c3303,af49b4f3)
+,S(ab355f17,a43d24dc,330a9195,c2be2ed5,6894a9d,e38d3dd1,1a31f9d9,9ca88a93,7f8f8748,c07cfbd9,fce0ac7c,b624f2d0,f83bc49a,53276b00,7ca2b821,51988e6e)
+,S(12a65c28,aa2020c6,5f56d916,c1cd111,10f68f0c,2408863e,635e05f0,1dbe4141,48bbab23,1be95484,7a0b61d3,89913ff4,5a8b97bc,384a0780,294d97d3,9c9b9be2)
+,S(9d96107c,591d95b,42854234,1371290b,370640d4,2dca9fb,5f5397db,84a5577e,183fa1b1,cda4719e,869c8b44,e97cf214,3ab14e5d,e5d0d781,78e5d68a,923b3dc4)
+,S(7ad05c26,aa642731,9eded7a,43f72faa,d344ef4,d413d884,67bea154,4459ad55,cbd8ea0,7fcbda54,813f990b,a6eb8450,6faa12d1,cd478a9b,cc278a32,511ba8f9)
+,S(d1ddaa71,27959090,65ea358f,b887e4b0,894028bd,457d217,f1ef6b9d,143a2292,e040cd3,d5f19cc0,456a55a3,88ccb81f,787eae9e,51a289cd,d8ae8d25,881e6ed2)
+,S(ec3bc5da,a9be90e5,1af0c1a2,bf41adfa,8023bb4f,b40e65d1,c65a0e82,6bdc30a6,d4962737,f9df1f4,48df1d9c,d8f7a140,233c2175,5d8ef5c6,f292b230,9ce263cf)
+,S(f3135904,dc55f515,806dbecf,d51b8106,f13dd1d3,43f78e05,91de1f94,86fd193f,c5bd3002,24934faa,2f9ec634,53fcb3a8,20af608e,efbeb963,23871faf,a7dc2246)
+,S(fb5f135f,b2f7638f,36bc332e,1bbd2050,335c141a,49db5452,619f266f,df85e8f9,6e71e045,827c3ef1,b75bffd2,ce54361,1e627cca,c94c8d3c,9b8fff62,e10b7b6)
+,S(d1dc12ca,62a1285,e3c16125,f71a1b7,7b0dfa9d,c1068ba,2bb56bf3,98864620,6a6bda82,232af467,afaecb2d,f4a7ca53,3c41d63,d8f7093b,f04a2964,6e4f19e0)
+,S(52354730,2d24cb39,f9117e35,d9374ea8,f3b6d027,cfcc23b7,58f0bc1d,b4f2d94,83719f2a,ccc79c43,1d8ea584,c78dd5f8,daded80a,fc3341f2,5789181b,7671d586)
+,S(fd8247d,d208839f,93eebd97,f6068ae8,a6640a46,48c16b65,6bc992b8,4ccfc5e6,dd560b93,9b530bf9,a8bfd5f9,614f498a,49e54061,61107517,e9ab0104,54e42f3f)
+,S(da5d83a1,9254990a,c14af844,df04bcb9,accab655,5468d08f,3b5d93b8,425f1600,9e5a8786,6be51fe3,54bc2412,6315f8de,1f0113cb,ae78b72f,cc70572c,d978fba6)
+,S(1205f8ce,b9c89dce,13cd44f4,9ef0b2e8,14b78639,372d9f61,f0543f54,bdef2944,6c820a46,afd1dd98,499636d6,afc34ae8,218a8c90,2f210dbe,530a9211,a058768a)
+,S(7d94e0f3,3969c5c8,164739ff,11aa05e0,45b32702,333d947f,8a0cbb80,57dd3c71,7b92b367,33f92723,17948d9c,a1875303,865fd47c,ecab145d,9ac9d4c9,864d62bb)
+,S(d7f22ab5,6840dd87,d939c4ae,3bbe5a67,75e7a2c6,dc969a96,40c7f65a,9c18b2d8,bfc60718,2509244,b0ab951b,f4032852,54b73d5,a23a19a0,b4ccff25,1e5dbd6a)
+,S(cee33146,2accf4fa,5f06b598,cc36aa06,342c83d7,eb4b6aff,90b9555b,fee0fe61,97583a48,5c323459,ef4b3f02,bf63f9bc,315cdf91,6163b389,c6a48cf7,4127da34)
+,S(1e1d2d64,1ec550e1,1a29bc03,cf7c8442,ca13f10a,182783c0,d4ee9bf0,8c3c8a18,1ca8ff62,fadef98a,4d1faa0d,28e75e5f,117cd890,2934e457,e042b870,d8cff1bb)
+,S(f10b2e75,8246bf49,1b70ff95,a385e701,dbbf333a,95a94652,6df7cb7a,4b4cb68f,ad15b5a4,d39d6458,55e57a65,3872d9d7,5f4b3168,182bdee0,a6289f68,aa7f99af)
+,S(4674dd8f,16ba5557,c9ef32a0,2b6be805,e864e7af,c4fecb8f,666cf396,f7e6b0a7,c9d95120,73388bfd,45f702ac,8851b5b7,531edbe2,df04d855,7bd58b3a,c889f48a)
+,S(95bb741,da472f82,8ff1f98,970c2bc9,1dcaa4ff,2cd4c0eb,195978b3,242c66f5,1e097cf6,d47dbdfa,8c3f2ce,90e0ccde,5adbd581,9a6e135,957ce258,805a4130)
+,S(9a892056,42e03fae,b24d8fe0,f94e4f6f,d0c72581,604a65a0,99e3d28b,b103d2dd,c6bee4e0,d94c30de,b99c1a21,5d28d7cf,930e89a0,7865ea1c,87d39f5e,1522b33a)
+,S(ade39c3b,e9540095,2176bb09,20541076,dac8e68a,a20903b1,5048e5db,4b0539a4,6bec56bd,60596cb5,7ea8a355,a6a6a4bc,90871c81,de902b0,6abd45d2,5802b204)
+,S(45f808f8,bab4b4e1,a790240a,f036516f,bf0a8eaa,dd4dede1,eb88bbb0,7d248b8b,3f3bc72f,bced768d,bb90ddef,5b1baa9d,aba634f,1fe19842,c3b4b456,8957794a)
+,S(ac9aa903,845a3081,2ddb195d,d79ffb6b,6e8ef0e,d34d0a5,49b577ca,35a116be,368ddbfd,1c5a2fa,c2c183af,19097414,82b272d0,52cec4b1,745fba6b,4a9fba89)
+,S(ba26fbbc,ffa6b9f3,584f18ca,255da089,f561c30f,29a378e2,9f76de9e,b756f6b6,55f67b11,81ff78c4,c4c86e7c,931e314f,dffb392,306a7145,5efe875b,fbe39ba3)
+,S(d4b1a902,1ebed925,9d53f2e,d76b03d,25b4241e,d5f932d3,a54c4dd5,db3f0423,6f1dda69,9e60053f,d9d2f5c2,c2ed2ae8,ba3337a9,b669ba05,3e48d974,f73c2d93)
+,S(bc91d139,b2de4778,458ca891,fa97e413,d4cf32b1,753cfe0e,540726c4,648b451e,b56454c3,4f568840,6d198248,19ba350e,aa291f16,5676d7c9,fbd2d592,169c76e7)
+,S(cd7a85ca,a0f408b,26b29306,3e01dee4,acaa8f9b,36f7273f,378290f,a4435450,1d9508b,1e7f5bc7,ba8fe5d4,f44e8c57,2bff9a98,887c3ef5,2fba3057,f132c5c5)
+,S(497f8e85,57880856,32edbfec,b0065ac8,3267fc31,da9100ce,c2b99cba,1e7c26f6,e6729428,fabdec3,2db731bb,f33cf45e,5001b890,8f82c0fe,f7cac291,f89c6a46)
+,S(68a607,4065c372,a95e7a6d,fc742e32,e59cc4b,86f9127f,f9465474,a466e30d,58e59131,1cfff974,e9e9162e,e974de92,904ffaf6,ffb97f49,d9dbb1ca,bfd927e)
+,S(79d2dba1,67b93ef8,82ca60ef,b803e1a6,eadb4406,7f9dbf6b,d45c1a72,23da19b2,a59f1b7d,9ca146bf,93b89f2e,244dbf00,31511075,4dc03050,aabf0d20,41230ad0)
+,S(5a2802ac,f4b92bf8,1c98c431,28ebe1f9,c921c211,910b6648,6391ca0e,4c6ad50c,5a0d7b4d,49b5835,dc3b395c,83031571,f7c361dd,840b41d0,405db351,14d86eaf)
+,S(87b8a84b,1fd98b53,e9eede06,74555c7d,806d5b7f,4cfced4,16203280,18c398d5,a38c4d7d,549bd5d,28fa39e9,805e81bb,975cd137,64aa8c7c,a7055d63,bdec52f2)
+,S(f7ca4d9e,7ac11395,70db6a06,c7f00833,5982181a,6642846,5d0899bd,907a9223,2c3dcce1,2ee6a995,52a72eee,e0968552,919502,5d4962c5,a33035d4,501badda)
+,S(15bf39e1,5a11ff6d,216c0f7f,f1597f7e,ceeeda34,91b450f5,3b3407cc,bf7ced7d,325462a,6591d018,e495c6f3,fedb3abd,75d5a4f,15e9ab99,e43418cc,4aef1ecc)
+,S(2755adc5,e69db19d,7caf52ee,117c6907,5b342e73,4af64a4c,77b369d4,269897b0,199bbefa,7e0b1c10,bd78ead,d5e65a6c,e6b3ee49,1400b9ad,a7874bcc,be580d5)
+,S(96ef0e89,80602225,1d8bb9e8,693f3a67,5152cc9c,43c4e953,5310b9f2,c4338d8c,2414e799,14b2d6e2,a9be60ed,52508d6c,15765c0a,7fc1746,8820fb99,a9feed56)
+,S(c1642d67,339fa6dc,c553233f,116f8086,2edbfc24,5512c2bd,4ca6e348,712bfb19,65e9a14,c7356a36,625022cf,873161b8,ef43ce38,a99586cb,9b5c8189,f3c6b8dc)
+,S(54c536b3,cb6da9b7,e4483ce5,d5c9e660,bf973ef2,f4c8b095,f52dfbed,ffdfb96e,777f16c3,b026b75a,c9863f38,d015f04d,e1067f2a,a9cbd15f,9ee27475,ad46a4b7)
+,S(706041aa,63dee9bd,4a441238,bd343bef,14e69929,f6e007e,181ae87a,68362926,36e15a44,57b86f4d,9b233dd3,37fab91f,67e4c811,3340463f,8f443b50,5a0ba014)
+,S(49acc336,116c91af,6f90a6a2,d69b9d3d,c0be0a16,afb9830c,c1af0b5e,749b2765,bc4f0f6c,725e037e,3a9d9be6,c5d4f80d,67b3e28b,92e5d3a8,fbc8f66d,9ba97d52)
+,S(96bee384,ff79ed86,a9d816cf,32f3d569,d1ae03d2,d154c65e,a117707d,74c818b1,848e45ec,27eaad75,5328d84c,a76a7235,ef4f492f,5be115a,a622171b,51dbac8e)
+,S(3b2b0810,c4052498,189affe0,4c7ebce7,b9050aa4,6a702d0f,72c5c770,4ca4d1ec,f782ad72,1bec3b8d,b1df97d4,7765434f,e4145c81,27acece3,9dbba604,4df2543f)
+,S(54c3547d,e4873721,df6215fb,ef7bcb4b,b9acce42,7b0381cf,2de151f7,c69549f0,5e7ce1b,728a3b21,e94b4138,bcb89af,f4778dba,fd21aa42,16d83a7c,9ae81edf)
+,S(9f1c53de,e7b895d5,6081585a,c6eb3821,d89bfa61,55cc96d2,e8b6c472,edf57f27,38369e41,ecbdb4ac,619aa7da,4d708eaf,4c572ed7,f1f2c079,d0bd17d5,3ba8288f)
+,S(e79f75e,a1a224c2,a0533936,65a5f705,15eb0aed,b924dfbb,5aa30055,d1d82b44,30c65139,f6a6f5ee,5304334b,1ce9dd15,27ba6031,2ff2697b,8eebbdab,67105171)
+,S(7f95a1da,79cf25cd,a904b7f3,11674d02,fc6dbf34,ae8ba7e0,b179b48a,d942821a,3d3dd8bb,31cbafd3,247ddceb,be1faeb3,b00e057f,7e90bd1a,78f89cdf,648f7c8e)
+,S(41e83f7b,9067a7c3,bb6ec755,ab7c83a4,dff74c93,65d0259c,cb635bea,718a416a,a54a4b56,5286b26b,d0bec338,2053c349,2de80062,2189e2ef,ed10e3c3,9457a34e)
+,S(81599046,453d0a96,2c5f3b47,fee7f827,537c7c58,c5ad068e,e5e6ae6f,7a9c6848,4a83b015,3abd0df4,177ef3f7,e8a7ac7a,e8e5afb9,a2fd359a,c30c13ee,321f943e)
+,S(11c9aa76,2cc334f0,a3274f15,17a1e60f,2f0eedfa,d603f83a,120162bb,e87830d0,7c73d374,26f648fe,4a9978c6,a64ac787,f4c8d79f,b58b0f58,70e373e4,d317136a)
+,S(2b41f344,b285a31a,ebf4f4fd,f0c4f463,49fcc794,e5762e04,dc39efc7,936735c9,7eb708ba,3f683d48,db8e0c25,ac8a6f8e,5c340749,c3d6ed5,7936d515,7f3d6e73)
+,S(dc063e66,38098e8c,6ff55a73,faa20099,c10d0258,87c19850,43d1011b,ab211b93,4abdfdf1,285ca3ad,65bb9a85,7ad647f7,fff01782,79fc6df1,6179e1d,495d212e)
+,S(7cb514e8,b6361aee,f9a7abe1,f84ef401,97de721b,609c3151,a056eb03,71ccdf8a,4d359c89,7d03a633,369bddcd,52a67387,fd4d1e00,2406502d,9ba6e967,a5efd0be)
+,S(103a6644,ee731721,bf29f036,97641fde,9775a642,9ce8d97a,26b06ceb,f9066693,127b6948,6db0d230,6ae90a1,4b8c8ecc,1e9293eb,cf154371,5ecbd579,e886a726)
+,S(adfaf771,662d719e,532ba045,72a50f12,144fafd0,afe93f7e,1d8edd13,99226e5b,b4d0335e,8b600a4f,84d919ba,514bc249,e3048cc4,281db3b9,a7c62013,4f00bbca)
+,S(609d9352,30f3c6ed,bf64275a,23a9a258,33fb8c3,9c25dde,4b55ce22,e64b50fc,cbbae84,c57f9c52,67278c4d,3b0cc5de,9327ba71,ca1a1bb1,8aec9a97,bce17552)
+,S(5ea5aa20,1b958a8c,49b70510,b7c6a29f,86d9ded9,afd4e833,77c433d0,f62d9ba3,27c5cee9,fe3c0bc2,af8d0e30,57eb0f57,b1fa4237,996bf8ef,5ccd25ef,e1b87ecc)
+,S(3f801115,3603a689,800c04d2,7d3b3fe5,c415ea29,c6e11951,7a56712f,20a10862,4280ab61,65b122e1,85abf4d4,14a31961,ac6595cb,421db183,34e57cb3,fe9bd059)
+,S(54981ffb,5b692a3d,6d9ec7ce,f027fff3,c5dafb7,aaab4c5,572522b9,e1157e5,893183bb,554c81de,21c84134,e395b9fe,80a5a9ee,b06e3b67,2ef93127,24c307ae)
+,S(97c18e92,d499ef62,77585c6b,28f36fec,e9a2e118,f793260e,32750861,a1aeb813,38a87702,7f1df077,d6e734fe,18a023ff,36c6d4bf,4a7bc7ce,d3a3d38f,c3069f33)
+,S(d5507aae,97bb6e17,410bc87,26d9eb2d,11558b96,6c54e7db,6428b44a,3589820c,e78d0140,7468dda6,d9c4af92,1984460c,e523c101,79f7aa15,d8004dbc,4fc63cb9)
+,S(220d6c2e,6c500d01,9ded2aa6,5de205f7,cdbb15e5,69038ba5,7bb1700f,1182ca70,64b68506,c387ec2d,9e030448,797bc28c,5e09e8a9,95f5f80e,70c26a1f,db7b16b3)
+,S(c1a45038,da6aaf1e,396595c,3ab404eb,9584ec90,d894985c,18e779de,793d20ba,1a443da1,72e281aa,4393e1de,6f1e4f89,4fe5d1ec,b3a5bcd9,607cf79e,6f20b533)
+,S(9a66f9b7,f3162c80,d22d0b5d,2a659bc6,ac01c74f,46804ca6,c908b6cb,90fb419e,3465357b,209c2b,a7c766b6,9c17abdc,69205c54,787fd0ef,e744692,16b95d3)
+,S(8b305bcb,1b6156e3,22f0f0df,28265cc8,79e5909b,b76b546e,eb223d62,89883387,929a341d,dfa05574,90cf5293,244d924e,852b00d0,d328ffe4,7ccc5356,623a31a)
+,S(4e36ee67,b5398169,8ed9460a,cb450023,7198f249,4dded391,4c2ae003,63c8f664,a784c95a,9a443b7,5859a1b1,373eb750,150e1ac9,d5120ca6,f273578b,73df77a6)
+,S(167275aa,38d02988,c53e0a36,d8312e32,369bc677,6d7143df,cc6fb83f,66747caf,f26b9851,31abcf45,369a6415,84b2956a,7122a51f,b909bc30,5427eff3,916e6e14)
+,S(c93d0b74,c99358d6,d24a962a,15adafcc,8a4e57ca,df0afeb4,9d46ef53,cf619797,f93b324a,b144c6df,336e34e1,beef5c13,b931668e,54ab34a5,eee1a8f5,5acc683)
+,S(8bcaa2d4,671bb4b6,8a924109,32128551,fbf6d924,d4854027,7c1dff57,3bc4a8f2,88be3e1,6482477e,62255fb3,24512abe,27cbb4df,f63c6d8c,93c3c923,47e519d2)
+,S(69d186de,f9a7ea8,be833f2,590db08c,fc0acfbc,64a648b6,8ca412d6,88c03808,d776b644,43a81bf7,527f658e,45d92324,a08ce171,6db6c259,898fab8c,f3d6d41d)
+,S(4a53595e,e2cfbc6,7bdc9f07,308f57c,7ff5afc8,a35e27ec,e22cdbdf,6efde161,e55913de,d481077a,ea36c502,494b3b72,b1691786,335b0278,3e40fa1c,1a1b0876)
+,S(90856f9a,5f7bbc14,557dd419,516ce5c9,aa451bce,13c17ce5,5c9fb1b5,f2924995,ca083d2e,b5a3a067,4a2534fe,e03bd99d,976b96bd,2b7f16ea,6e2552ee,648e934)
+,S(2eed315e,d863298c,aa374ca6,2bf8313a,a0ca07e1,9a94bc4d,58eb235b,52d36dfc,afa36c8f,90d7adeb,ec33ec69,40c08d1f,2a4044a7,477da88a,6653d90b,880856a7)
+,S(345a7f2,ab7ef064,eccdbe6a,ebd11dc5,3c7ede0,b62ab3de,f8e409e6,258e84c4,c0c0dce5,93cf9647,c0228d8,42b78407,c3b634ac,799fae19,f0e685d2,6ccfd73f)
+,S(5a669d7c,209b222b,47843a5a,633e0b53,48442258,663a58cf,f6ee3cc4,1b893d3d,7067be1d,8636698,2b808b16,3c05e57f,2be77d1a,2bf78038,e242f5c7,4ce10523)
+,S(3f0b0f3c,30a991bf,927f5119,6fb4af39,e1399d01,1766b1ff,1f0ff2d8,a3199062,be8f8781,4c06a75,97d062c2,196a49ef,93a73923,f43d16ac,82c015e5,4789d472)
+,S(9d7f2c64,98e78982,8492b8c9,2e0e49c7,b5c9d4b2,e86c409d,828447fe,4a2f5a13,95ccc540,8202dbc,78323d6c,7ef66d51,4af34699,5be50b56,98a5864d,34e502cb)
+,S(9f741436,55b3cfb5,39917a7c,79fec4ba,164503a8,3958aee1,f6e8f34b,3d861b78,345738c,ff8f3c64,f5cda5a7,a1aee7ef,f3a33141,a5139c3f,b891c6aa,feaaa7ad)
+,S(cf1d3136,11d4b6ec,5f1a9728,c9a7b037,d9c16d65,bad95fdb,17376200,b1a9a97a,51c72169,bf7b1ad8,6159fead,dcf3b0a7,a7fc13cf,7bf12d98,409dc3b4,fcb7a9a2)
+,S(7e04c6ef,c7433f3f,fa2bb827,3fdcb3a,e0470abb,cc7c8dc5,414ff77a,915868a0,781125c,2184eeb8,87019f7,c5c0b4a5,5922d11c,53c3db9e,d5795bc6,e7539cc4)
+,S(fa6d73b2,a97801b6,16697ac6,102b002a,53d29d33,289708f,d8f73964,77f3d57d,543db558,25c67a4,cd010413,9f8a093,7ea7ac2a,380799f1,c2249569,3cf557dd)
+,S(d0fd7208,8deac18b,1bd63fbd,6d5be0ef,5dcd34c5,538a9b64,ef43daea,ef321d1a,7a5e1e2a,1b290241,7879f223,8cc8928a,65988130,81366846,69841b93,3ddc3a1f)
+,S(e856e67,e28330ed,77d8687f,bfdce5d9,ab8ec155,4c94ae0f,491d1e43,9361cb99,c51585a1,9da7c26a,4fc07c6a,f17999e7,a6718542,d7500fc9,1bd21fc3,8acf1eea)
+,S(389cff20,9f240748,b9beba0,34d36e0,5e758a3c,95c678e,28cb0226,37db1bcc,ae5a0d3,db1e17fe,30daa2af,1e1f759e,905811c8,95706b7c,e5741051,2b7ac4c)
+,S(28ce0f42,ff79cdb8,16b666c9,c3014051,d46e8df2,e2377c3b,619b78d5,17f21a1a,4e835188,f742237c,fe581edd,937b7294,e06fb295,d401b35f,5b7b293c,6d57f875)
+,S(3d955bfe,5b27beb9,68400d11,3b8666e2,63af6ef0,ac6ee49e,8628e2ac,4d1e69c4,1fbd2aa9,b6913655,e00f1384,a15a7215,d3d7340e,4891893a,a67faf39,88801e9e)
+,S(53dcaec1,2dd48ad9,ee65c9bb,ef21a023,58cac930,316263d4,9d607074,8aceb771,5b976f2,411d7624,d4659e5f,db624b05,9dd5e06e,f0b65740,ba394020,b9d279dd)
+,S(ab822568,f7e9da8d,3f1220e3,24752c80,b02a8124,f8d9f65b,3b4532ec,3740881f,6c2152dd,34451ab5,b47b7c08,f7edada8,f9f230c3,5fdc2de3,35cd93d9,e25703c8)
+,S(36719c40,1518b976,684bbdd9,2a923485,ce92b321,dc26534f,e5a0473e,4c873c30,d5d58a83,d493cccd,d16a1282,68aa93e4,94ce8638,41ec947,930c72e0,887564fd)
+,S(360c82e6,18a53dc2,e44677b,a0bb8c2e,2a08f6d7,afbe8498,15d605c3,2e5fa969,ade18222,e1d0fbe0,a31c55b8,d2cb947f,1fcdea11,1e08ea3a,4f3dff02,e3e38b70)
+,S(ecf50737,25a3b81e,dc621bb8,6c98fd59,f805d6b8,2f08380c,64270df1,95f020f,f5431b8a,cba5d27,1da26cb4,fc3412fb,14ccf088,6e0e08ff,ce0db47c,6b4172aa)
+,S(3b751389,e6dadda0,85298860,76076249,46df960c,e030caf6,91f91d46,4d05be4c,244b0028,48829fc3,824dbe61,168fa1c0,3e4d3835,d3da3a53,7c729f0a,191e92cf)
+,S(ee6e33ee,7fd9d7e7,aab10b8d,2c58f2a7,26ed307b,6fa69b3b,f1f08a74,f1b04ffc,4233398d,6ee49505,c5f21525,6cc9112f,5dfdd7e3,4bfb9a8a,476b3cd8,2645b8f)
+,S(e7141075,e20f0903,f39fa384,f91a5708,7f24deb3,68571939,572caf0d,2fb543f9,5265e24a,bd84336c,26b4607,dfa25c44,49c4693f,adddca01,599d814c,21787cee)
+,S(d401b043,ee9944dd,7429a8c9,4291dc55,7e5827d5,88375dbf,1513d394,a778826a,9ac9b417,5ac3666d,7c6327be,5172b8b8,1dbdc96,eaf8578b,76f01128,4434b937)
+,S(d48c45cb,b90394d8,23574c16,60898091,75d503b5,99d936f1,f60246d1,79c9cac5,4e6b2bad,a67ebb7,a0743cf8,52298052,2737f0fc,6cbef646,fb270d44,2a285612)
+,S(19f6446,fabe1899,ec4476ee,1d61f6af,961da42,ada1f77d,2ab41cc4,28791c64,7a0aa5b1,4f2ae030,d9711963,bbe160ca,424f6a7f,17b6a709,b5f0dce5,af1d0498)
+,S(2db1d56e,f19a848f,6d6747c6,82cffa47,78444b3a,d57ea076,b0560b1c,4e57c83e,701a5894,d1d6b6cc,b421b168,fd34aeaa,e85262ab,44f70c65,b8ff61ac,ee541cf6)
+,S(443597f7,9da3df8b,5fddf8da,3bc3a060,83f2cb6f,affbb1ab,8a12db92,59661adf,31b2c4ea,362a0cbe,2b9b1488,719b7ac4,3a85f7c9,63e9f2bb,b46ee055,71e2ac2)
+,S(e49ad52a,7bd2db07,d972def2,d1ce6684,69aaf6b3,3c7e3427,52d79fa0,9d2ee9ad,b2063f37,1ca78c2c,429cd401,c5e46d6b,dcbf373f,5cb77163,5760b8ed,b4f91ba4)
+,S(35b3fc0a,4a625cb5,808e1c2e,73c962e1,6ab7dfb3,28109ef,fdf81e15,841afd0a,cb558481,145a5f75,b639133e,8ce42c98,d36d8fa8,5348c815,d92a2c8e,cc993bf1)
+,S(1cc238ef,3f64a075,c3c264b,ed42a0ac,aa6de195,7db40d52,86c482cf,f62f609a,d3382317,2b8a1450,bd918aa3,c57de76d,3012887c,98452f7b,c1f58610,f528af49)
+,S(f5a2794f,48885192,dec727c7,79fb0b6f,c2cdf399,4ef7cacb,94e35791,4d138e84,d3ed4f1b,912f5dce,5a0842ff,d2e671b7,f3ae8448,b1a73f43,249a1acf,915b9c34)
+,S(21b41016,a8eb7c6f,5519d94b,adb0fa7a,5c553822,6d080e3d,6d2956e8,8a9579e9,802570ed,b9b01b1b,ed79b6f1,76ebc4b3,55dfdd16,f43e82e8,7803be0,fc44e274)
+,S(9b5611b7,938ac10a,9818bda7,3615a47c,1ee0f072,75aa3dcc,b8919dcb,e7beaa88,89787c01,d088e3b3,603047e5,2f49981f,7f007c8c,a88502c1,3bd9c327,e3c83b1f)
+,S(28163c9a,b08a7ad9,38c7b35d,b19e700b,3865800a,55a3103d,2213c9ef,2c03858e,661e089b,df356bd4,afcd0604,fa5ade9e,74c5663e,77ab57f4,a069bcf9,b8b227bb)
+,S(bae9ac08,aecc06f0,ffb8540e,2589a32f,11d34a7f,6d899e5,7a8f5ec5,bcf1601d,f5b63d9f,8a5d23b0,80d0bb6c,b8df736,aa660a3b,6f987683,cc0a54e5,f7d1b4d4)
+,S(19f48542,3ed01783,cb83d2d,2efd7264,a10c6c23,1f5a242b,112eccb6,31d91f7c,79ce383f,f011ce13,87537ebc,3e70dcfe,2cc2764a,3d180fdc,74a21062,a5b75f50)
+,S(cf459ca,cc8c4ff2,c827efae,6593a52,838658ec,bf1a78f4,75965856,a8ad007e,786781e3,3279964e,da5e6374,bf088fa7,5d18901,df01a0d3,6c87b62e,b419dca0)
+,S(c19f2008,e6945d10,471a13e4,8b16f3a6,381de3e2,b24f2d92,77ded25e,930d1f47,7179aaf5,322b51d8,7758219f,cc30e9d6,bad5ab77,b35dced9,6a513b4b,fa7fe147)
+,S(3fc1b649,3b6cbecb,1767d0e5,6202c84f,39a6b41,87f05ac0,d659c45f,5bc565c,db9edee1,1768e29b,4eefddae,c6234622,55d06e0f,1979c8c3,5c366f4b,5cac3f5b)
+,S(502f74d2,cf589c65,e63b2a8d,b2b1e4ba,5f851715,bbb27e8f,165fd34f,29cff7c5,755e6c73,765bc45a,c2f9d4da,499198a7,36743571,40846ce3,6afd8063,981a96b1)
+,S(b9eb62bd,7cc6d1d8,b0eca2b6,1920be5,9227534e,7fb581c6,4dcec4f8,f1ec44ca,ac567b37,891e3eb5,c40fecf2,d4c5b106,bd222c8b,64ab491,f7a028a6,a02178e8)
+,S(2e5280c7,25a109f4,c5de565b,9fe5357c,718f9fea,db53aa9c,b07a0f3b,f5030ad4,4783be94,1b162e,79f58d4c,448756bb,8ea18c4b,692e236b,4b2b3ffa,24a456b4)
+,S(bd59ac74,92d24606,9b233efc,1b68c371,bbc9713a,284f7f0c,699a1d5e,ccca64ab,1abc71f2,fce8372a,a4a16abf,1d75bd87,a19c08ed,c8843f44,fb71bb7c,a74ec4e3)
+,S(6acd12ba,4623582d,d769c8bd,3d6adabc,2c13ba3f,bb67e4ed,ee0fe70f,3f832f5b,982fce11,ff1e6c05,2f21be20,ce1710d8,5cc043dd,eca9bc43,5d100d9f,f68150b0)
+,S(601f4285,8b0cbce9,90500c64,e7eb77e1,c433dca5,55e6ddff,5264a98,d688decc,56110eb5,d5b3ed79,5906ed4,c0275827,79cff7fc,ddecbe7c,74d2bf10,ab2beac1)
+,S(4d393daf,c47391d8,8208263d,b8132156,e9fdd6b7,da48eae,90489d12,832dc938,a14180a7,898a5a00,6ae5b8c8,d034c233,93ed2ef4,faf6a4fc,42c4df1d,62d0ea7a)
+,S(4ea24f6c,3c164285,166bf2b,1918b3ee,3cac8631,5a1175d5,4104506f,68b7171c,87da621a,a18d1a18,b1dc222f,af37b5a0,b149714a,e755ef03,ee3af91d,f2a7f5ea)
+,S(eb1f6f2c,a5749f80,b88a7359,f0b67230,b2b844a2,4fb72dba,f5604e73,cf6e432a,6f58093a,55e3cb37,8830e58b,10612b24,56a35fa4,b8e60409,1b9b8304,e35cca51)
+,S(2361315a,3d41b82,98a9d768,be7f453c,eeb977af,bf1db132,c831bc00,aaccc9ab,90df3be,336d4b58,7965778d,9300cc1b,3d954d4a,89abf173,a9bfd99c,29492dbd)
+,S(44f432f0,46c7defb,630d5535,aca1bd47,10505012,6b2454b3,4591b079,7f8e9b28,1fdfbcb7,25eee981,c19f98b4,6bd19dff,9b6cbdab,730ca2e3,1643d415,e3aa0489)
+,S(d563a475,4c130e71,81b60a66,a3f2ee52,7040f9f0,eac9e26,866fb226,f93db593,49fab7c9,6e320961,6f4610dd,532d547b,b24f7f07,f916f10e,630ae5cd,b40d3b11)
+,S(2fac4651,f0ac9876,4a74c066,16e7f1b8,aa6d2bb2,99ef9f0f,43bca81e,7a4089b,fff2b7b8,c330e1f9,86a69324,a63bf10f,fad8e78f,dfbb6062,c96a67b9,eb460d5f)
+,S(b6f60ef3,d8b793d6,5794aa89,12e8e1a0,9ef7604a,5c9eaede,b803fb31,e8195dde,b9b17946,4057de11,9d0bf993,fe92e4a8,bb633d6c,d03ce8b5,10200166,467e6bbb)
+,S(d08c6813,65789ba2,4e580637,2eaa1ad1,d1254462,3cb64d83,5ea2e1d8,6e34620a,e94875ca,f5beb1cc,f88fa3c5,e2776203,a6f3cb5e,b4803618,52215d0a,9076b185)
+,S(dfda222c,a4ddbb56,661f56d,b9b74be9,a5a7c34c,4761483d,928aa48,9bfabf52,bfac4ed0,ab4ccfa7,caf64d8e,ffdf1aab,6aad50db,595b1b49,7fab28d7,656b6475)
+,S(3f72e4cc,ef5c0bbf,995bf8b4,67759969,d93ee40,8e738a4d,41f55896,17f241ed,c42ad857,3f49218,c7daca7c,8ebc5c7d,f9ac301a,2aea209c,ab6648f9,8ea16f5c)
+,S(6e85f587,91431b6e,dd848aa4,70101103,f63881d3,2fa9f1c1,e3324161,e9ebf0ee,f7f00d38,31e09d69,f0684107,59dcf837,eed3d833,90efa352,40a9ac5b,2daa2a57)
+,S(d991fc76,2f75235a,5268a32d,64dbeac1,b2333a34,5ad552a4,cedfab54,9b191f14,90d58a07,794983c8,3f6edcfb,55ed0b68,8f43d9f5,eb7678d,29610299,63c748b)
+,S(24cd7922,7ef207bb,6b9b678,5156bf76,77101e6d,f5fb5576,a9d33175,8d7c00,44608974,5f1157bf,9c9f45a1,b212a978,8e348a0f,55129935,b038940f,84e91468)
+,S(5c053ed8,367806a2,8545692a,47314850,66910d02,3373b89d,e85bc7a1,c25bf6bd,9a3e45f8,dde03e64,6d6c546c,cf4c8fc5,a253054a,2d6df43b,d8c4afb6,385311f2)
+,S(4f3a4d88,20948d82,b598f118,1d350719,ffaa5ce9,9a7f614f,a9e3cbf2,e021a6cc,149c6722,980a41ce,5d4c0b94,9cbe3c99,4d94f2d7,c36ef45c,d7b9084a,79f451a2)
+,S(badbce64,8d55b579,cf8d6dc6,74580211,a6bff856,10804077,adad7c2d,238aa542,567d75d7,1570d7e5,184f4f4c,a53fb92d,654b67d1,f6bff96d,fddcc3fb,932f0343)
+,S(d2eda540,5f828eb2,cd3bc5c1,9f9a838f,8a1186eb,3cbe9575,5cf6642d,13601942,ecb3dc3,655ea992,4773cb57,f4f4c8d,6380c665,69f08184,f521dada,c108629c)
+,S(191ad0df,31c7f3b8,258e5bfc,ec9d1ff1,2143b240,24d93a17,893da095,97304f1e,4ad4991,6bd2296f,b6f6b697,dbf5a3cc,4c3ba136,6f6dfade,c859b190,48fb523f)
+,S(f108bdc4,a1874aff,35bd1fac,b8e81b5a,7a7ed597,e78dfb7a,c716bf7e,7a15dcac,b88e4fa0,d630d92d,bbdeda05,4a6c6624,e7bb1d5b,a6dded85,347e5275,e08c9414)
+,S(30fb7605,7e2a6cdd,59fa279b,3574cf1f,db9d5159,19d0e523,990be02b,da1ebffc,5743e72a,752b558,1b959a48,3b6229c2,33fa1b3b,2719ad3c,a6f8f9ba,1702ae8d)
+,S(6facb1e2,6d1ef1cf,ff413145,63f3b2e4,e762ee7,3e43378,c4c15f85,1cd948bb,92000e2e,a3a5bdbf,f6eaeae8,8619f2a,48b649c9,19972b7b,83cbac22,62d484d7)
+,S(741c1253,8cd4da52,c596840f,e6233558,fb480a0d,43232756,2a9e2d59,a574b981,79040b6d,580efd7d,84356117,a93941f6,b47e6c0,a53627e1,bb80fcbc,e6881234)
+,S(2b86fe60,2b2e87f,59498185,4af1f986,7debc5a,84ae8bf,94d2d6ab,4ec8be09,cf4c27b6,b33b5020,2ff7fdd3,ff0743e8,f28ca75d,3cb74d21,ecf21dab,ad7ae079)
+,S(e6e7b676,9f0ed86,4163e9d3,66a7e2a7,a37f1ee8,e827b105,3119b8b,d36e7b84,c2e5b9b1,d82b4504,454062de,6c24430f,53e03bd1,819eb1e3,2f24606,73d09be2)
+,S(86600d22,e7bec946,5b0afe05,5e733b03,f8f81548,ea44e008,740ac807,ddaabbe1,abb367d0,5e6d2fd0,a2c1d0af,5ded2926,1439c985,ef287860,80614bf9,8e8e33fd)
+,S(67171261,5cbe2da0,b252a773,58f81c91,fbe561f4,87df09e6,cedc8a55,cb3414b2,bf02d81d,10a47287,2b7e65e4,93d97cfa,e3bd6ba4,39977371,8cde674,8829b0a3)
+,S(97db468e,7f3a25c4,c34e202c,e9b2480a,4344aa9e,1b76a147,4bd375ed,6d10c0da,c58ceb67,a28f99de,2eca70ef,e8af24fb,c381f962,d5db6e3c,481cca6c,469c4c27)
+,S(f3ac0267,ef19ae9d,762c4023,4ba97e33,a88b015a,e6a83f4b,cf730d84,405aed26,cfb8a3ef,d1104873,8c1c927,b31ebd05,105bcce1,d57c7fad,1972a5fd,cbe84f06)
+,S(fa44128c,3c258fd,5a99c85e,775fca63,4e8a46d8,4fbff953,b373bd50,6ca3da85,f3196e74,d17cae3e,3c9958cd,ca591374,ddffcba,7e362139,17e5e119,a5538b1b)
+,S(95244462,1eda0b2d,acdc1a57,41725c1f,a7c5660c,feafe18d,ff8789ba,164e7dbd,214bb6b1,7af1584b,76a9e5a6,2c32eefb,497324d5,7b00f71d,24b162e7,1383bff9)
+,S(11de80de,c03a732d,6769e52c,64be4d2f,fb1d696b,2a658721,94aa384,392dff9,e1eb8932,42386216,f543eea,a2d1099e,531d8e27,7cb2e5fd,ec76b3af,e9e9c7b7)
+,S(7318b452,a2b9d23a,eeb30bb1,3883dff5,b373be94,94451c72,36a2c02d,a4c37e75,26713361,aaedfdbc,2966fd1a,ecfa705,772012b2,564b077c,7f5db7b2,c810861c)
+,S(82d189ad,e5610825,1b03cae0,4b138ff7,dd2d77b5,422535c5,cef9be7c,1899cf75,3634267b,1b3c3de0,d2dba36b,924949b6,7e05d790,29c9452c,18c6ff70,252d570)
+,S(e5dfe995,82152513,80859865,f16fd0fd,e4d60c7,be0e2aa2,d9b2af4f,3714f8f7,e1d87d8f,fdef889,52918e62,5bcc90e6,83f337a6,103cd000,1cfd01d1,eef4b9bf)
+,S(54cdeddc,9fda5fe4,63240f72,8ca66c34,ec05394,899f2472,d82d2378,28a06a3f,27bab620,cc373ed,10a71c18,345ff27f,e20e1bef,98052afc,bb45fdc1,80b94a2c)
+,S(7f96757b,8b473785,e1359cd5,bffbce2d,5b26e8fb,579d7833,607d58,a791c47a,d4b43e2e,20a43fa3,5a96d1ff,93109aa0,b7831fdc,2d2c016e,181beac9,c1cfcc4c)
+,S(eaed18ba,83238fa5,ce4e6c82,edaef108,b1f9929,3148f3e6,2d3a6d4b,535455be,1017291b,805f7b1f,eba367f5,9a1a10b5,f7501355,7e6eb921,20838c50,aab0d29b)
+,S(91ca8ba1,da9c2625,66a135ad,81f57b10,65ea4632,5bec5d42,ca1ad62b,826f04fe,2d5d619e,84fac3c1,e30343ba,a61d3bfd,e1c4a9a9,8d968e92,d560956e,138e34ee)
+,S(8a31ad57,12e32254,7d0d2907,cb73adfb,a9a1ed5f,fe98d645,22082e6f,1cdb1364,8ecc3fea,886737f4,f94a2984,e6edba9,8128b2d3,bc79a209,2b2c1a7b,b00bff9e)
+,S(123acd6b,ca673170,400bfc4,1071cca5,4e03daf3,e1ed1458,88470c04,568b972e,e97dc60e,cfec2d5,c6a6e173,9d60f7e9,838ad723,ad0fc7e1,52b5e70d,b48b853b)
+,S(d7c26043,ad647f0f,d056c10b,4ac932c6,6a545bbd,509de346,d4391942,52e69df7,6bbf2f04,2c9459cb,c72e6aa3,1b6d8e4d,e606eeb7,d5d4e0f5,7f729a79,ab1f5e9e)
+,S(67c4eb00,548e2cdf,50626c8b,1aec1173,8370da41,9280c9b0,1c8783ee,91e018d0,ffff201d,91a4538a,97ceb50b,c9aac646,bedda1d1,3f22a121,c709bfc6,23b95a67)
+,S(7e1264ea,486b08c5,19c7d8e6,5c80e1d4,d2994bb0,95185c72,63172b1f,ead93428,1797609c,816f10a2,e82afe39,65112a35,798b0874,b24503a8,f57c983b,6ce7ef6)
+,S(912cb164,5f7d7bfe,5ea443af,1c458500,a95ff22b,212109e3,12fa01c2,41319cf8,bab658b0,111c48f8,a2f620a5,fd130d53,e1c70e7,62e33dec,55b22d87,38c1eb99)
+,S(1d60694f,15577a40,f6b9f299,be5eb62d,251f62ad,b9b5651b,df804e27,df919fb7,3799eb92,e18335b0,bdbc29b1,f8ce07ff,3f7cd409,5840d5,dd324bca,2f902a14)
+,S(8166b50b,811bf53,4a94af10,7672ab4a,4e154b2f,c5cebee8,c8ef6ebc,18cc3906,6dea31f3,343e5b45,f5b08c19,903491f9,349f4ca,29818fa9,16f5e02d,85e09ef)
+,S(4852393,e42d0821,6664d5d,f85eee60,9660eaf9,54ccc6d,fb1c31f9,da17923,e4cadcab,17f64d8a,f5dd74da,eaeab7f7,13be1de9,600d4db1,a781a058,5ed2006d)
+,S(f40031b5,ba171b26,e02be47a,c34173aa,18ec3850,1b1d529e,a922a418,1c3491c9,c2db89ec,2e50105c,4074b729,a53ef0a7,9371d2a3,354d2d23,8fb39bf4,bcb5028c)
+,S(8926d233,3c842f9a,213547a2,fc5ef5de,b0bbd603,e69d347c,41e7d49e,aad76cb2,8459bc10,b7b2617,b0d434f4,b62a4452,80bb951e,b4ada14c,fa800389,b3ff892a)
+,S(7f362b16,9d9bd514,c6289cdc,70ea4b77,e7518db6,a2e33acb,8acefcd3,d8c5726d,dd1e69e2,71d77dc,2629cded,72869345,7c63ea2c,8636c712,e45e6af0,4c15fe35)
+,S(261b8037,98ca780b,50dfd56b,81093f32,d7c348e,4f093b91,70470ccc,4516ee1c,5723ca6a,5959d589,4a24c12b,5f87a5af,84c7a6a6,89304000,344bf5d4,81c7752a)
+,S(d137c0e8,edb32642,12f6b958,8b527a9e,9e57f3fc,c358a2b,68f11d61,89fbd900,d1043b3,5f809513,ae370588,4adf90c1,9d164c3a,8166027,92ca55df,74c71466)
+,S(96274665,253f4479,753de9ff,ac94af8c,943b8231,b1302040,bee72240,2ccc445e,8ef6f9fc,f1e21c2b,d913f877,98c6ac9,f53445f3,6c2b1678,a301a4f5,17867296)
+,S(bc6ea584,b1f9b006,5f39226b,e31a866f,7f90229e,12aade70,136dc747,b37f70c3,23f1c4eb,99dfbcbf,66539762,4d20c4dd,4414bf15,172cde8a,b7652ad6,f87ad5e0)
+,S(3e968741,5adc1afa,696e3222,fe351939,1d3f19b6,feb1de83,f4f1aec4,d25e2387,e3f4de27,67ea84c7,8baf1382,4b7917dd,477bdc87,cf1cf38f,8f5da1,e096b528)
+,S(b5973535,c9c9d4bc,2b2a9b38,57cdfdf6,4995d64b,81c9e68b,abe4d4eb,4eee489,907cff05,5eded925,770280de,9ee0e025,1629796e,8ca05a47,48ddaf98,72bfdc3e)
+,S(d616bde5,acd5f345,d23e8b2c,3d95038a,a1d7a354,a7613cac,57ec3e8,d07e11e,6c88c62d,d795d065,c6c86478,cacc56d3,2282b4f8,f3059aaa,55388555,449879df)
+,S(540345c6,5869d3cb,cf4099c3,ba7422e0,feb87ab6,ad67429c,2dc99840,e6bc82b5,9f424998,bceafc7a,a58e5f16,c58e53d0,c0d51f64,285b0afe,e84ec9f6,b22f8f37)
+,S(6b7893d0,ace6ab5f,c93f2e80,65a3de57,4d552e5d,4a89d660,714113c5,a256fb84,81a016a3,7be94a2a,f45b1bfb,968006a3,58398fab,424811f7,6765fe75,d4438d5d)
+,S(357ea5e1,7a0795ca,cac47e4b,9e59bb24,45d1b6cb,2c713f04,7029f6de,2be57734,571de7e0,27dd05af,90bebc29,bd7345f5,77babdd2,75498bb6,d43a668a,8a4d6206)
+,S(7baa2739,1db2a0c8,679d0e18,8c5e7c8f,ef1814ad,b7bb3955,519b4189,1a63ec40,73b56168,20fddbb5,749e8dfe,ef834f74,e266df86,e34510cc,f5eebb52,a868075d)
+,S(4d5251b2,dd778e04,5143169f,8cab93b,9a9b7428,1a0ea1ff,964225a8,10b1e578,9376395f,2091036,16a95686,4e55382b,39b6934,2b2964d8,34face11,a44f491b)
+,S(3c0fb553,b0c6330a,3cc06bb3,b0cb4c2b,31be7582,55264b29,98bbc166,ff57f7ca,f1f409bb,cc227824,4dc08c3,147e0b83,3522da9,6859400f,8d19272,e33ef1d9)
+,S(6dcc7ba0,4b3b0827,e3bcb462,7b7db8d0,e0997c7f,900d27de,2d6c87d9,aab2c373,f2dcb11e,87b69faf,4400e9b3,186eeb6a,4fb48cad,6d6da276,3943772a,4e18b450)
+,S(a5271e35,ca54c1b3,16d6113a,40414ed9,26bade46,c3258c6e,82a63e9d,927ce06a,e2d6051f,bf42dd9b,e0b2e00,1fa4e308,66232871,313f9c82,fd6ee37,6e8e376b)
+,S(574d1ffd,976c616f,60371e4a,76b2712e,84b0a231,8d3c1c0d,3b56b10c,e978efe0,13733a17,a956efa5,733dc130,cc4c848c,19ecd6f8,7fae5ac,82c73de5,6d1bfa0)
+,S(ccccd911,ea84c247,262a6e61,8028b2c1,a147f55f,b637b570,97400472,fe3e27ce,cc4b4f5e,491f32aa,eb6d0404,5965a97a,e4119e73,33bd1b39,f2ea9873,7d8f33ef)
+,S(df1e4fa5,410f1438,9a41ca26,31eef376,4f10868a,f2f05a1,50e2c7f,8c3a2643,8185a88e,2b4a343d,bbc10da,723d4cb8,29014cd6,3211a82a,63627b01,1b01e87e)
+,S(2ca6b7e,b53516c7,2e216263,213c0d60,fbb02f,dd227f6e,4ad29069,f6da9213,81d5fd1f,5264af85,53a8227b,7500d82b,84ca1fb5,87ea30bd,ab30fae3,67e3d7b3)
+,S(df4bd790,ac3a0db,1663a8fd,aec1cdb5,b30c7a67,99ac2ed0,16f1c474,5bea92a1,db80f378,f33f920a,d0f4fad9,595b0655,44ffc36c,ebc3f294,3db13b83,cf609bbe)
+,S(792648ad,8c053cb2,102dde19,789d3782,79e0e0ca,c500f40,d46bce68,97af2839,3c2d9b55,afa4ba1e,1ce3d142,5e17ca6f,191b4013,7b7d8162,8de35e8,801f72f4)
+,S(dc6fe845,50fc1136,1f648fab,deb9b3f8,e7fee837,ea545228,b2fbd432,e53a8aab,2a4bf746,19fc5408,b4bc6421,f4a570aa,172ef263,c890c853,d7b06aa0,65960dff)
+,S(10d4786e,9151f2de,89f368f8,9502b7fa,74b7b9e5,7a1485ab,f82fccb4,9c2deca8,15da7f51,bc84f421,2ce948cc,28663e57,8b4b851a,f6533f2a,b548adc8,147d2243)
+,S(67c7c0ae,e82dfd5a,194dc416,41388947,29ddce96,5b7d50f3,ca922512,6e730bf7,a8bf40e5,666ba93f,1f723414,24d8a7a1,6a2aed83,7f022fdf,557e6082,e3e515fe)
+,S(602c3df0,8a2efee8,329f391c,a9f7b2f8,31ab6d32,bc4623c8,92272934,1f78a4f0,ac17903b,3808ee52,c0208342,696f5250,5789206d,515421ee,8b1ab28f,5b788eb6)
+,S(c3441893,e78910c8,3cf917fa,44b608b6,671ea508,37a7d2e0,4e658c6e,2a91d9ef,b5388381,17c264a4,a0876c3b,7c261bea,229c2d0,a7399c05,114f520b,a7185dcd)
+,S(49dc68b4,412dc3c6,c4b265c1,6cde755d,bcd49f0f,394d552b,76f67ff5,33c7fddf,f1490a38,cdbb6c88,d270eead,7de6358,132cff29,ddb6aea0,1baf6353,4c0cdae9)
+,S(89080197,4a95beff,da864c28,36997c7d,3a4c0fc0,4ad59eb1,5ba4b124,702d0f04,86e165a3,b2e7eb55,9a7996ad,63265609,aa6e3385,30b51d22,4ae4f16c,d30be3c0)
+,S(c9671a3d,f749d635,5684de03,1764cf19,1087bd06,965d23bc,4ea0555d,29ee0804,33cc0d4b,b02a1910,c158db0,ad2bcd66,c9585f9b,456321d7,61752148,e6224d85)
+,S(f3c1a76e,1d4ce622,dc667a4f,dc0f4ede,7eb7111a,1539ce5a,bca71d2,fd48a26c,269ebdcc,e1d42428,4e0dd49a,73968676,58857998,7a062320,6251ccd0,ac9f9e2)
+,S(12002fa6,68924900,8a540429,50ba2901,5870a70f,7fe95ae3,dba4b07f,aa6fa460,51543d34,34568008,74e8b1f6,6ec72fd8,e2936b6a,6022401c,d13d50bf,931996ca)
+,S(a59df11d,d3fcf1d3,264028b3,6e26dcf5,62083e44,f91f3d27,f23acdcd,f1392a9a,4dbda718,48afff3f,faffaab0,5c5376e5,5fd15ced,68b03ac4,4785ab2,201cbe70)
+,S(89f738a9,802d7deb,5cf2895f,60916fa3,d6d74bf9,e740d2f3,13ba393a,b40cacaf,293aa5b5,b03557a,e7288066,5ade09cd,ae6abc71,8e7d445b,cbf85a44,a035b73e)
+,S(d0414978,6252c5fb,b4bfdae7,56092769,dfcdc2f2,ae38a5fd,92ba9df7,f91a9ee,53ffb526,a24df2b3,d6e8faf5,ee6d79dd,7f427d8c,14d2d5b5,880f1863,e7e95099)
+,S(4a638f24,ef3528c7,a4e42cdf,3f5bb946,81e6435,ba2c99d3,625dc282,b941d341,39d97ef2,949f1338,bc016ec7,89585780,832043ff,33777357,9ecefac0,ae40620b)
+,S(70a25f6,34d32af1,47c4dd06,5d52f78c,eb5e53fd,64bb151e,18e8629d,f4f8088,1b6bf3d8,15a0f919,68dfd6a7,7ab7417,d4aed9c0,a52b93b9,9b4e4e41,d1e558ce)
+,S(59ea9490,24765add,f99fd908,11c65ac1,d0f9ee8f,27e459b9,b5851765,8e96ab82,b38bc716,896e0337,e4a1b361,59e2b5b4,e1680ef5,beb4b47e,c5934b4c,8d6675b3)
+,S(874a6ecc,6260617f,c6d4f334,40c8e080,3d993594,ccc2d47f,be2869af,9881f2aa,f509e39,6663327f,7d768a67,aa0d2ef8,353b613c,bb60fc38,bd2715cf,349c02e)
+,S(dbf3567a,1e634ab1,63a860ce,244f3046,c7f486f1,b12928d3,1c44624a,48bb5df0,bcdfcc85,38e4702f,99f9d55,eaa55216,730405a5,66fbdf07,4c62b310,6baf7ce3)
+,S(a534bcb1,96450965,5593155d,2da069a8,4800e4e,eca0b504,62d844eb,d179ac50,f86b38e2,d558be4a,b0a216a2,906099dd,f3cc16b7,30e784e8,745f39cd,829ff3de)
+,S(e11bb840,b79063c,4e090771,29d2bce7,8f291f10,120b57ad,63594780,fd1f1905,7fcac0ad,e0cdc573,67c9d74,1c6c9928,15b7c3fd,3a19b266,e0e5a94a,9a9ef9cd)
+,S(d79bf0b6,552c5b6e,6e9192b9,765e687f,ea226d86,c6f83f44,b427ea9f,14b404f8,54e7a54d,583e2cac,129f17d6,835597aa,934b4732,6ffecbfe,deb503a9,eb9660ad)
+,S(103396a6,57856b61,5507969d,958de14c,251bbbd4,9851a5e9,ea64e0ae,2f87817a,9d66ba9f,cf3e0c2a,655cabd3,91774015,e209d771,334c461e,d27b683f,f83b477b)
+,S(9b49e25d,ae607f4f,fd876837,5ffc0fb7,142f9cb1,f0fde836,537f320a,9636723a,3472462f,f9fa5ab3,1fd1279e,7953dbc9,85623021,e714c951,bf00f632,e9f72ab9)
+,S(a017d4f8,8e757556,b7ee81b9,d4c9b260,ba2f7f8e,5e1b69a5,fff94abf,723cc438,5f2819cf,53fcc35f,c9c15d2f,13dd51e5,2c8dd134,f012aed3,4b4383f4,8b00cd95)
+,S(aff1db2d,3fa6dc00,51a8723a,7127d57f,69ed0b49,ccbca35e,25f72bd,19076211,7cccb7c9,4adc2075,9c7f8870,fbeb1a1e,9f95d644,af0411be,a6b12d3,aa6f00d7)
+,S(21ccbdab,f6902a86,d368d445,dfba0f31,4f80de6c,c7f05f7e,9fd1818d,45a174de,eda0b8b8,7f40e9f1,bdd5ded,e65bd72b,6cbe049c,bb1575c9,6b779818,a67251d4)
+,S(c3e58ebe,36b0e5b7,2e15c47e,cca6848f,5312369d,d270dd18,93b589b0,56ff7082,212df92d,d724e3aa,c42e293e,b1a2de5,3c340712,7ebba791,b901ff87,9fce94b0)
+,S(f19961ea,da1d77df,2fb9d976,7d7c664e,c0400066,2ecd7244,12b72dc3,c5de133,74f321a9,1287943a,8ed14d02,96b05ada,1a24fb52,a09d467e,8e8175ef,8f04a2c9)
+,S(3aecbe48,2aaf6af,35e63dda,fc919adc,f974e89e,765c4437,69ef535e,cdc05e01,92b854b9,30e5e4a8,85397592,fde89d3a,601c733f,d88d230a,a1168e36,ee367273)
+,S(55fdd639,b87de7c3,9acb95ed,33222935,bd4217c0,fee1c924,f1060f54,fd22055d,81f4ef46,16e51585,cb443bce,f16ad8e2,36d6ed18,87ddfa60,ddba2089,f4b83c4d)
+,S(b86a6272,ceed47d2,4ef4cc67,bef0b117,c0761b4c,29548c8a,367d8ae7,bf90744,1c0de18c,d5f3331c,5439020c,5964404,be582f88,3feec4c3,112396ce,b657c4fb)
+,S(d141a7ae,9d92913a,26deec5d,d2acb7a2,115da997,63be5a76,c5a0a415,8b5b8170,de784bc0,9308c82b,ce3be9c8,9abe41a,4ed9b9dd,cf817aab,3785e344,dfdc2ecb)
+,S(af340559,6902ad5b,e3fe3464,3cbcea5e,7a478a32,b1bde828,ec966837,192344e4,3f65050d,13e7b969,35b013c4,9df385d9,833d419f,aac0f754,5c395ca3,75ae8965)
+,S(b70dce7f,870d3d12,472d3c5,481a1288,cccfdb2d,12637a9d,973f4e12,b026cefd,4b4f733d,e5322132,80a36e4,ba57894d,a563f4ac,b1a55a9c,83c8dbc8,96a7fdf5)
+,S(14fa3dee,44dafb00,d2e71c91,5d217cd7,a9c2b50a,edcd0025,f7aad2d5,b6c62ce4,67c3a65a,65bd4292,d271fe13,9a8c9d84,343bdf68,cc16e50,11676580,6bc30d8f)
+,S(baaa6a53,26a7fc36,e519d9a2,48dd3aca,f6f0628d,a6406021,caf0d0c,56d9bb3d,4fe9c638,c1078c39,a0fc39cb,e9a81bc3,4b15840b,631ecbd3,8ca4a2bc,10d1f3a)
+,S(ffe2afcb,5e53bc7c,9ee07740,c8094a3a,32c8e627,4dec7eb8,cf2673a2,dba11725,68d7092e,2b8b56da,1653dfd6,42de49c1,799d3ad5,864e052c,8829815d,b2ad952a)
+,S(a25d7c5e,83a0659c,5ead610e,b581d325,adfdd3b8,af03736e,4039ee1f,40612431,679ecfcb,b1da355f,d73d02e8,b79fc949,bdc9fb5b,5a4e28c,5e68c244,7599c806)
+,S(1c5d082b,3121c4b0,2e0e2244,88e53b8d,ac5500b,bd396f0,7fc218dc,7311b299,a2a435af,4838d028,4d459216,f3955427,59f1f51e,9a15f28e,d83987dd,9c09e5b1)
+,S(d8d21200,2cf2ceae,6c9a90db,89f7d0e0,42a2e97c,458b9024,437e28ed,a775ca26,b31b6a02,4b01de6b,6159ee51,3c118921,f61a536d,c1442525,cc613290,364b9df2)
+,S(b5265664,54579771,947bee20,f8e7bc48,1e15d07,2adcecbc,3aae7b91,a4d0f3b3,170ad05a,da7f67ee,f7c611ba,3c55c835,f054bcf2,445e5c1a,399c7cd7,640ba8be)
+,S(1d0d2a24,8982635,18a28203,b78cb089,acd5c296,98b86b7b,48fd4db6,3c80812b,71e2e1a2,7bff3bf,9e85e145,7f446048,7643f154,1cbe829e,f600d861,dbb752e0)
+,S(cbbd4ee6,33aec586,ec7ba712,c3bbffaf,a0e6497b,8618a476,b64c660b,340046da,d792753f,c73090ac,177ec5e3,40aada73,3b31dcf3,a1f46952,625dab85,7e9b9795)
+,S(73cfd295,99b6b80f,8757a873,ce9166ea,b1960f77,fa8f1d55,ddcdc90,9420a751,17832aab,c1083af5,683f8cf7,23c6376c,c22d190,241e1e37,6b1ef2dd,7333c873)
+,S(20572bf8,abe50ea,37a064f,738dd18f,531b9404,e7e4d693,2c9fc34f,ef6dede3,41c79375,11c8911f,3146bb2f,63750887,c663d2d6,f3fbbd53,30af73c6,9d332191)
+,S(ac208805,2f1518d0,3724ef5d,cb149f36,1ed713a2,94392f92,96173857,94794f70,1820bb1a,e843255,9025f3ac,977d9f59,4e812cd7,e27c390b,b2fe905,ae2b7017)
+,S(33467f95,60aae872,b5c9afba,7f29cd32,a213f197,47745d8d,945d06e8,295afacc,44040bd8,138d9bb2,76181e21,79f4bf98,4b0c3965,a1a47d34,be8f47ff,52e15af2)
+,S(1a77910,75bd3497,cbaff6a5,d5e8bd6f,439f5bb7,ca3eeb98,68033ef1,cff83f03,d8af802b,daeebe88,f823c43d,447f1906,63ede3d4,c4b9dbd5,caf82a3d,b4f1cecd)
+,S(dfacafe8,cc15f85c,f829d913,9a9aedc8,6a98e010,5308572f,94c183b5,533f5bb2,c076b6d,c708d2c9,895e22f3,2fe42f4,33ad38c2,a0c55aaa,5c551fac,fe601916)
+,S(3cd975ea,9eb5fc56,14955bb2,db0ca413,b83116e3,a09454dc,7fe973c5,7ee33ca9,261e5544,2fd503f7,7c1c7a49,de96fb50,aeac56d,30cf3ae4,8b2e1cb,1b9fcb6a)
+,S(168ac250,d23cbce6,23eeda,1389e261,c56bc718,4234bebe,6b108bf9,bf6df45d,add3ffb7,b0a9a860,21ca51e2,f3d2e2d,19206bad,78d9e661,2895068a,c880fcb2)
+,S(47bae439,31966a6,984241b2,2afc8b86,94db88c2,abdb1737,728e1af0,e3803968,a7cb7d64,a07cd13d,2c8dc7a7,8a7a144f,8edf915,5cec20af,102260b2,d8d355a4)
+,S(76e73a26,730b1444,8ecf60e1,3489de8b,93355af6,8943669f,20da17f1,4f04d517,41f75520,3d5d528b,2e81bab1,9ce8031b,bf9c73ce,7927645d,178ad762,669b99fb)
+,S(f6f08712,d85f9219,bb475122,1ada6a75,1a8d4758,f5dd72f,f5231d56,e634c19f,d72cfc42,379ee25,eb0fb134,338109a3,7752fdd8,1ad102b5,f365a276,1d133f10)
+,S(1acac95c,9b0ed53b,e6c37d03,7d47a796,2a371caf,cede380e,799d0110,b0634f7f,658c6b74,44846952,93a5215c,63695a5b,fc80f818,633e0278,f6a1193c,6d441bc1)
+,S(5759a8bd,ab76d449,13258631,68773369,5b76d2da,7b1e4004,1bf99198,bb25f218,15c1dc97,8ecff6f7,cfd6cbb5,44ab8666,83127b41,951c247a,f44855,4afde3cd)
+,S(cae1e14e,c28ddbfa,379a97d0,5f3ae379,3771750f,5a9ec743,2039f440,8fa7e2f5,eef09268,6b9f60da,8e64ae64,8f13d01,8f7b9ef6,aa849f9f,72df2f9d,f80fbf60)
+,S(9aaa132b,947da7e4,9c1de2ea,ce06e3f9,ccdc37d7,6d2081a,be5f3a37,9b0756a0,e9bee628,d6a64476,af601737,68829c11,e8646e8c,beba7174,806d800f,56f6676)
+,S(f38b62b2,4d609d01,70cbe85a,cedde44b,7a766a30,d8b7db6,8d935735,c4d0d204,8b61a5f7,e3caa2f9,17ef9ce2,c5eb2499,667558f,7c4e4e84,2644dfdf,a57666c6)
+,S(25c121fc,74c57f34,29a143,8ff3c47a,f06b5de,74c4dcef,4a093b87,3a2ab659,69254121,eadbd76f,289cbf3c,21cc96fc,436ea33,9ccbc8e6,fed92b2d,331246da)
+,S(95666156,c40929aa,8a7ca656,c42c64d0,e24c3789,ad3781f7,9e2a0ea,c7ab9c1f,116f5750,7e07b846,92106d6b,6976741a,59bf7cf7,909733e8,e1fb54f3,fd77e783)
+,S(cdf1c010,7c48b65b,c001df94,c6e84d12,d8885af5,820d65a5,4e7ffea1,ef4c0081,8f3d1be4,206bd313,e1c498e1,5e7a9995,64312ea5,aa823196,9c566349,9c3a04b8)
+,S(955269f2,be0d5e20,5382b2c1,959103fd,fa2c2386,9bbdd33e,a09487fc,294dd1ee,6306a092,4ce63798,41b2d773,8cf97ca5,e259f81a,a67b1e0d,42903f1,beaa869e)
+,S(78013976,449ddc23,4d32a793,5ea525d5,9afa3617,47e0a8f9,c8141d9c,2b231e14,8d28142c,bb88abfa,1a72d583,4e509d69,3cdee0d3,bdff4788,83618ce7,a1ace69a)
+,S(e6d67a8d,fe513147,2c0fe227,bb08a8f2,25e2606e,23672969,ad3acd65,155f972e,46c8695a,5b9d931b,adb568c9,d3f9a8a9,dd501508,fed00c99,5159f518,bed035ae)
+,S(1779ea78,eed6d974,563cac2b,b3e72693,409b7029,789e0188,d061a182,3f18e962,82590ffa,6b9e0e13,d2e72bef,96d555df,9f7d2b81,2423a947,e0dae41f,91cc0722)
+,S(28ec208a,6e929f8e,a815fc17,7b927086,7d482547,53ba5c3d,3b56fa91,acbb67d8,b4453dd2,eb964348,94cc1cfa,25616a2e,2f0803e2,8796206c,dd31ccd2,dc69aff6)
+,S(c218c6d8,3124c9d1,c988981f,d4614af7,ff85a572,dd89e4ef,6209e80f,e7656de6,7259c421,45ef6e9b,d4f451e6,e2dd226c,2e750650,8ff7834a,965cca4b,cdbfede8)
+,S(4c9891e7,5559d993,536fec73,a433006f,4f0e4e42,f427300f,7a3825df,85b1cd9a,7463ce1b,9f9af66d,7a5d2d43,ab0f09ed,186eb132,92c75431,ccee645,4280aa2a)
+,S(a89fcff0,694ed82d,537399eb,b59a054f,f43eb74,f8e1fc95,be0c03c5,9889c931,3ef3c627,e3011b2f,38d596d0,8ded759f,fe30ffc,9db95356,4e01c8a0,2949ea1e)
+,S(a8b3ef89,561da88d,ca9890d,5e4be652,8a4b8fe1,691d1522,54bcca43,1e7ed801,c86fc397,52254f61,88ee5128,4bd54347,8abe7390,c784b51b,6d41c947,5d58bada)
+,S(6a2fd5db,da9093c,2f7c7ed8,9eeeec7e,efd7e759,eacc2946,5d1f3a15,baef5b42,8b71ac63,3886ef25,74e212a0,499c34e2,d2c7c1ee,b70fe7f4,38e08914,48395e4a)
+,S(d33dada5,30626dc9,1d23d16a,620dbeb4,7551ca44,dd6c8b18,fbf136b3,1ae4e097,4161f6a7,8273ead4,443c93f8,2562a29,1dea1adc,d84ba0d3,75a997d0,f07d4ed0)
+,S(53ef9ef5,731d9473,93e70829,bcac3396,3b7a597a,1f3c861d,401af7f7,fb1559d0,8654f8c3,63e53905,a4d1e2c4,378fc3b5,fd5ffe3d,e7fd3adb,399d883b,3d1b9e18)
+,S(5f13c5af,6979832,da1bd43c,4b7df970,1ad837cd,e59d8f15,381858d6,6263b0a1,3b0ec16a,1024c902,666dca02,4649c110,2a17205b,e4ac20df,26ce5b92,8baf90c1)
+,S(674b7de7,f65337a8,c66dbf23,2f86d6a4,feedabbb,b71e83dc,fd854926,86f14f86,e3961790,a662c6b3,70460e16,18ce3b6f,42bb6142,78fe9e2e,6bb1179,181c2aae)
+,S(291eed8b,47c3e2f6,b3c2967f,76743708,5c460c5d,d5d6a75c,489dcf0b,4d98b8eb,e19a9d2a,72fa37e1,e10ec853,9c772565,c53e36e9,160651d,c2a8e364,db408ef8)
+,S(e737a407,1bf4fbe4,ee5d3d74,7df3cb54,cca38f48,f977919,907deccc,7090ee3a,ac66d422,79441d73,2809d695,68f700a0,3fc5be05,8241da39,9be3a63f,8da16069)
+,S(67fb1676,7c3231f3,428b39e7,bdd082d7,1194a51,ae99a7a3,6c113e87,d338712f,38c2ae1f,afb521f2,279aae5b,6ba5c636,1dd34c04,a7726555,acb9265d,31c996f8)
+,S(9b3b4788,71bc413c,5e9d2b9c,61e0cda7,f2fb908b,805f3370,45639,5e616230,7028b68e,af818a13,d32f116a,aeb0bf45,215d3d62,6e6ccb1e,a901544,ef1d696e)
+,S(63193415,59bb1e39,2f92dad6,e5f8576f,7f49d4d1,439f4f61,a6f2be0a,75bd99e6,259d5f21,6c780a8a,5bba3e66,2242f26f,1adef829,a535dd97,11f8e786,f0a57932)
+,S(4163082b,7720a8eb,e881b398,dae059ff,3a65fba7,f8b93afb,6e3dae6,6a969c79,3939395,d8e90807,e77e87a7,4c89f861,c689de81,a37caf6c,32788310,7b938ffc)
+,S(b3a6baad,15c01677,ad6bed54,ea5ee415,4d0bcb7e,3ce59f17,7ff26,ef23b82b,711681f2,1e56c0c5,f2c2b011,dcf75716,300e305c,110f4071,51d11890,25bc4760)
+,S(9011d111,fcebd882,b9a228da,fdee1297,824c4007,7d5ad9bd,59e603b,43be8f52,d530102e,aac87930,eff135f2,e55b5310,7c03ea00,d24f1201,6653e3e5,5d778246)
+,S(d50adaf1,d68a746,e1e7b148,7660e90c,f268450b,df460d52,e1f761ab,bf7018df,4ed454c4,5eb30cd6,e6f1c4d8,7df2bea,e15ebc07,e4b4e50a,e4dea733,93abcf8c)
+,S(cf886295,d1eca9f3,4c95acfa,b86a5061,82e30324,ba5b495c,70318cf7,9e910d70,59bb7068,3147c26e,45c76e7b,e018e467,1f47f488,2c044484,62a5053,8023fd40)
+,S(38723d58,ffc69ea0,9a8f2655,dc225da3,78b9224a,f8d81e7a,bf8f29ee,292ddd24,c41d67bb,e699e504,3198adb8,ff11a5e0,4033b66,98d3ec18,256bab11,93db5535)
+,S(5b41d5f8,1e2443db,d13521e6,e7b7fdf2,4a226cce,f369279,22b353ef,107f759d,8ad730a5,bfb9f01f,853434b,24866a49,912fc756,e086e781,a07ff2e7,98ef38d3)
+,S(4f3c24c7,7dc7e41,843e9018,400d3bc7,5d1dc958,2895c11d,3855b80f,4709373d,a485adae,c547a5a4,e0695913,c4c2fb5d,ea16a3c,5211c162,4819d704,5b0d8d6b)
+,S(f603e0c2,8b40c8b0,a6a0378b,c4289059,5a4cf4c9,2b74199a,4e4e231f,a6b458a6,a73aa12d,76572041,f01c33ea,ca599a30,9ba0b838,f1d67fd,67a9a5d5,c3ffe258)
+,S(84ef0a98,229c7af,9404cc25,60f4fe1b,4c8e66d9,1aa96118,53fc4f25,eac78a61,653df937,3640b28b,2c2c4061,1d79c4c4,a2d577af,b572f5f9,e50cf3fd,2b2dbcd5)
+,S(e675d998,6b3bcd4a,d098ec95,c386be9b,4e96e448,ce6c9371,15c5dedf,d97941b6,4319799e,c4103d65,18590091,e333cd58,9901b020,a62565b7,f84219bf,e31003fb)
+,S(10837b33,3603f33b,e528f391,b5b672c8,93fbd813,99c5dfea,f6126e6c,2a2633bd,cdee9534,2456a261,8a293b49,d91ed2ae,f620addb,ed83fc66,d169da3a,a6d0e2f6)
+,S(4cb1ddb6,6ad3c1b,68c6b0ea,408ba1d7,dafdbe54,89c22d47,7a62dcc7,77a8e013,6c005484,29e789f7,5c34d8cd,a473270d,75eb8f1c,3db13856,87cda96e,5cd4b370)
+,S(db72d671,ff3e0102,b1c52481,b66ea142,8f7fcd43,15e2792,eae234a9,291926e6,71c55f71,68a088f9,980bdb6b,79b052d7,4edd0b19,7ab7359d,9a2f9ce9,f1c5a5d9)
+,S(99f92125,162e18ce,7493e6e3,91cd06fd,681371b3,2e147ab0,24ae3799,15f586d3,9286b3de,12ee578a,12ded341,75bdb712,d939b7e5,555e86c1,82f1f283,3c1b1d40)
+,S(a2b8b63c,8984a666,2b09c18d,b2d7f263,796660f4,3bd78eaf,af7c63b,986c92d9,2003787b,2af02879,642b0a2c,f716f4d5,85dac86f,e58c7d41,d1959763,310a67e1)
+,S(9292ef40,21bbe6dd,8c26a862,c9b7da54,4292e479,a9e89264,618e3a47,9773b446,d1a51e4,65bdfdd0,dbf74fd3,d449f6bb,ea862eed,ad369c52,34a695f1,d229ead2)
+,S(8d5a920,547d838f,90159068,ceeab220,cc6aa126,d423edd0,2e136cc0,1cea5d4,c3334a69,f7694e9,43ccb182,2caf2abf,f4caa83b,a006af52,bc010bab,8710b596)
+,S(7b62f4a7,7b79c09,76dd2f74,4ec08d9d,21511fa0,7891ff5c,52b8dfa4,ae3430bc,70ab2073,cb3a7cea,350e6aed,dd0c9a6c,ff8e02eb,69bd14a8,a09e9b8e,ccb19a0a)
+,S(e18a9c02,5829b47,cdd34c11,f97f2edb,a7fb9b9d,fa4777a6,dbdc3cd6,85245b12,7386fa51,881fe49a,adbd5327,8d6cd0c5,1063dab0,aa830b7d,88c7a4d7,9998e743)
+,S(ab9b68ad,61335dea,767c763e,3294d414,74a6d4ce,e4ab9a78,7fbb6749,7307d0f,aab48fbf,53f365ad,bf94f823,ea973a25,f6ddd341,397bd81f,8e825f60,c916852b)
+,S(3412531e,8423364d,8d8bac05,bb78973d,7b8d375a,9e52d81e,bed48027,2abdedeb,1b9f5eae,59ea3385,9de752f5,db973a86,4c735e69,fa8882ec,e1ca8350,77d77335)
+,S(6a6425bb,af9f65d0,1a401330,46053b50,7ac8d45a,77b30de3,69eed52b,956799b0,7cbdae81,93368c60,5671ae9,faead4ca,2887bd8,9a06062b,dd6707fe,f849f484)
+,S(87860648,af9ffbad,50871c2f,29bce0b3,e9693835,8a067201,5c1156a6,7107a4cf,8660c0d8,f1aea58a,c613f6f3,5b27baf5,53835493,fbc0e203,f024ee36,27bbfa53)
+,S(35733610,71c55057,5392c685,3cadd8a3,6618443,d80b3625,53a2f197,d3c52539,42935628,adab5bd4,e0aad0dd,a7d76627,58524b2f,34ded1cc,d3e44249,6d213630)
+,S(82d21949,2fd48d51,65bea027,6ac15cf5,d27bd736,45e03271,24f0f689,8a2f4a25,f13d9063,fed02a94,1b4e5c67,f42d82b5,33f18ff9,ca4622f6,79c6aabc,ea454c21)
+,S(ba1a1c83,6dabf825,e517ff65,549e1d5e,729944a1,d7b17cea,aa4466ac,39ec6eba,f01dd751,3557249,d2fb224b,40ea19e0,57b4052e,adc46787,af587ad1,458bb4f0)
+,S(5cfeac36,6bbe58d8,45a36cd7,de6601c8,56943a07,522364b2,23a1718e,6df8de8a,6651d3d5,a344af69,25fe039,c9e29e77,95544b96,66752f4f,c9a3bb57,c5586c32)
+,S(e5e314fa,2b2bb630,6fc235ba,cfd356ae,bbf88bf7,eb039629,165d8651,c0c7d5ff,c727787b,a63cddb8,feef96b0,2f6c8d0c,9722fb4c,6274e034,32d9016a,eb4d8cb6)
+,S(f84d8db4,b745cfc0,bad4844c,b5a28d7c,80ed5fe,6baefda4,1d9cff9c,158c7ec1,cbd7bc36,a8313a27,feb8121f,a8847bd7,937fa53a,d56ea066,fa600411,d87dcad8)
+,S(8806a2b9,d72156ee,4948e86d,43f4b3ac,cb24529,e1b2b2f3,5ff94812,e9534513,aff42464,773f6535,b4dc5eb7,76a3f7b0,7bc2fdce,1413587f,c4055cc5,afca3129)
+,S(e2ddb5ef,a1105437,b6107305,bc715e55,ec0266aa,a0ba1bcb,e12ab801,45af7eb2,43e4d056,804f229d,da5a1efa,8f429189,6c9edf94,fba505f3,1f22b511,8b698ba9)
+,S(636f32ff,ea843368,c0cb708f,43841ef3,20151e39,35683ebd,bb1f476e,af2f8c5d,7fd53321,517616c,c7d24b51,851bede6,b03c50d9,82269773,dd51e36e,4898365d)
+,S(bbcdd1f,f5b47391,d728a06d,b4783d5,b0e279cc,107488de,44446e36,9d11d143,6ac7dfc6,47d25b37,7281abf9,ead782a,b5f815d7,b2c9f6a8,46a8a6eb,9253014e)
+,S(af0ed949,22336a4,337e9c01,53357e02,3d7a2728,3c649712,3e117944,39ed3577,d8b9c03,958dfa89,ec2105b1,d9542d68,568797e3,7df16cc3,861627f,298f3359)
+,S(11ba75ae,db365552,b0d3f938,f03a115a,544a0818,b2f54f50,e4873249,6f80ce13,a6bce69c,f9838317,70f70370,7073e87c,61b65c0d,bfd34dea,f0c549f9,c58e674f)
+,S(e7560fb5,79e5ca35,f45881db,b05383f4,c5536ea8,a5438fc4,ec198ba8,7543d3ad,ff48d1a0,bcf5e510,9ed50a0d,ed8e5b83,44da25e1,a1a3d421,606d19f7,e28fe79d)
+,S(ce7e289c,61f4927b,bf933eb5,193fd2a3,a0686435,80c8f235,1e24c33c,e418cf10,17246f2e,e87f4ce,f1c8596a,ecdb1f95,1407ee7f,dd839c9,98102344,2f4dcbcf)
+,S(b765b875,32ba4db1,211c612f,b833ba18,156fa0dd,875aa61,df1ba9b4,7d1c405d,862d28f6,d85a8ad3,bebfbc82,437404f5,2e0abafc,64369b51,b75364cd,c827171)
+,S(400560bf,d2863ea,2bd9e246,4eafab2c,2798cb95,b976c022,bb9d2153,e5978a0,92ca9a1d,938e53d5,d10f1f83,54abe43c,e8f8c2c9,d4e851cc,a363ed59,71e2681)
+,S(7859190b,8e619c98,76af21e9,64f323e5,221cd4c8,83dd9fdd,e56f691e,e3db91a2,e1874376,755165c3,72abd73e,415f2663,bd94cf28,2009492a,e5034da8,6f6bf949)
+,S(87d90b40,bb472b84,f9d24caf,ba7a6437,b50febd9,5c643aaf,e235750b,12527ef6,e6a0f719,25697425,23517ea6,183faa64,dee1ef63,183ab1e8,3a603b98,20452c4e)
+,S(dbae1ee5,a1b6affd,f9b41ff6,a1f2790b,2c492ce7,53865690,ce5281e,a7f08177,f6a2be90,a2c3cf,8e14bf87,4cc52648,b60f9a26,2930f6e8,9fadad4f,d919db6a)
+,S(943a79cd,88260475,10d90c99,4d8d784b,32c03d1f,f2478102,96125f7b,28576216,48d4477b,f97c4cbb,4a96ff99,e427d4ac,cda9a367,2ae66930,88d8cc57,3bb3e2d7)
+,S(699911a3,81ff3c7e,71b3a458,14133f3c,ec644378,e3244d66,6d083c55,7b6c040d,3eec684,3190d6f3,85b07116,b3b1ba15,4ecacec0,63e02933,9b83afad,5598b22a)
+,S(f002302d,9ca256e5,cc38ad82,e529b461,efb69f28,52513917,fb8d63df,45e602ba,78455ea9,708b750a,97dc74ec,8939c880,d76010d6,78e0c112,3616483b,fb4e788f)
+,S(5f701ce9,65a20314,a65e2c0e,1cedded9,ddfc9d01,41a1e095,e91b9915,cd2aacb1,57e770f2,d04e33ff,c9d7807a,4c3d1edb,3f9ed2,c19771d6,7e85e618,463e5663)
+,S(454c122a,ff85c42e,49d6f033,87744462,8acfed31,90c41255,e8e34928,83563fcb,9d9d6435,a2c4d146,d92f34cc,40b32a7e,55584885,82143a,52039fd7,129fa6f6)
+,S(d9abd19e,81f392d8,8382918d,6ab3f89d,de793abe,2eba3aa7,b58b0ca3,1e614e51,8c1a0f80,8b8d9e56,aed21554,95f8902e,a390505e,15cafbc4,2b71cf05,575abeec)
+,S(20779414,b5ed6524,b3613a8c,d0b6e9c7,ff3b14b7,7264cb8d,7b266ef6,cbb224b7,c1437dd7,71f46cc4,3cfa52a1,28c70367,d6682553,28942150,c4068da4,8c218d66)
+,S(141739f8,503f2225,feb40431,21f0a5ee,844a7707,62e37d1b,3e43fad0,81c631b5,a0a13de0,10566ee3,1af8c6e6,38411c1c,a3df6c63,c8ed67da,8ef7bd19,5fd6e73f)
+,S(de8d06ae,dd58b148,91184145,fcd9bc64,634725fa,e4a77d35,70b21c8b,77890b60,a046f351,eccab99,1d3d1c1c,642387fb,fb9c3f92,75bbb93,46688555,f7aa9460)
+,S(312c7ad1,53f7280a,9bb86cab,ac573944,d271bcfe,bd59291,c6f05fe4,ec003a81,3c6428db,5eea01c6,9fa2556b,1f20c1e7,4e65629b,e73e6429,81b971ad,b6563866)
+,S(2eafa04b,d276e33,75b8d063,b206785c,ed69f763,7a5a8b99,ef7d3de,bbcaf35,f06464db,56ccf55a,1f41efe4,d1cedf81,a642da24,3cbe68eb,6ddf7ace,f67dac6d)
+,S(5873091e,dcc8a95c,a0a47570,3d88e54e,1381c2d7,a418f615,eea97470,2c2c6fbb,5a91598,b8e47d2b,2fee6cdd,c33aa309,9bec74dd,21688542,9b76543a,c233ccdd)
+,S(e713bd84,ca505ad3,aa022577,c0cac85b,466874a5,b02f4ab9,e8d14bba,c131fcb,706dab4a,fe49e6cf,d290913d,358d1dcf,62e8b4d5,b9bd46a,322ee4a6,5a660849)
+,S(aacaa633,6fe86d41,b05feec1,cf4866d,340fd268,f869f912,c2373e10,bcd95340,d933cc5e,c01024e4,77d1e80e,c533f293,e4fd0dcf,7d1156b8,7ebd9d81,b9489c57)
+,S(cbe0ce9c,77649031,25590e03,cd9643b5,dc45ecc,604d51fa,d5bcb8a,196b65ee,d2287fed,c331d56f,e585bf1b,793fd957,ce425492,df41d8b3,4faf84de,c3bf4d22)
+,S(f9990413,deca9f9a,4ea6bb8,fd9b8732,57d15ec3,70e98187,f4170103,dd416dfd,b0593cb5,dbce573c,f0a75f2b,c4756781,963e1a2,e988e0cb,23efbe26,c215ace7)
+,S(2ee21d79,bf3e82a6,2bcaef34,85276c5,3b51bfd8,becbc9f9,6ad316f3,a74bab97,fe3cfa79,b208de80,f659cb81,bed12184,ea2c2524,dc0bea05,64acefab,1acd8fb1)
+,S(af5c91d3,44fccd3e,70345a2b,ccefc0d2,19287be5,aca40ebe,e61de522,56f25faf,bb58da83,bebb5346,9b345695,fc23853c,bc0221b8,5d75ced1,da107fc5,c106875c)
+,S(2cf50e13,477d628d,117e0bb6,1d3ff9e6,1108fe94,bf82a6f2,4138a743,6077e0af,339c0a53,77a6465b,29377e1b,dc344464,875687e2,7d1f392d,96a275a,e259793)
+,S(c51a6610,1522f63b,84b98ec9,31984865,eb3b29ce,fe115b28,a87f89c,67bc441a,240b9717,6af4beb4,b0502d7b,2caf8c7f,47a9362a,9f9610c5,826762ea,a2a2be5a)
+,S(27478eb7,b14d84b0,80426792,b0e2e510,8a4804e3,a15e80b9,c430d7df,c09d05ce,eaa0a072,86fac65f,3da47bfb,4010fed0,fe8a9e17,ae42ece9,233c2078,2b36422d)
+,S(531ca72,e21caa6a,43f0c9bd,d0bbca5a,b12dfb9f,70f045b2,f0865077,cdde192b,c4ed88b1,a0397589,3cb14ed0,897d6bd,783dc647,ba59772,16c308eb,630367e8)
+,S(295775cd,950d0702,602278a1,56c1d05e,4343474,a4b3ae87,63f4a686,7688e42a,907fa8f,1269cb64,41591004,f6e62b14,4d6c54b5,f6ed424d,6b0a8a75,26935b49)
+,S(e88425d8,bf6e89a0,f9c9f525,97eedd4,3c331058,10936c23,4da69d21,9a86f82,56d53ae5,e7a354d0,d65cf742,d603da2b,199e147,3d42bf3d,639f83a1,cf91cb65)
+,S(4d20a032,c44453f7,b374a82f,f088d816,c1fa9338,57dae8c7,b87295,98869a4e,a7ad5993,af43cd42,1620e87f,fa0b3305,e7da39ef,704319f,ae5faf55,5e3fb43c)
+,S(b98e9728,e9288607,a7ed6df9,c68749e3,9d7efa1c,4f964428,5e9bf81e,246e936c,1620c470,19b9cef8,7c1f0612,cf56adfb,5526573c,f7746a98,48a0d40a,3a92d38b)
+,S(562eb109,e9988778,bed85413,2fa7d086,6b37a8b,fa2d2d3,470da3c6,97996a48,29f4f0da,e554e380,613156e3,34207e6,fe8fa678,4c08f2be,c3d6a59d,1e0941b1)
+,S(b189e864,8dc0ee06,b09ea73a,9a01cc06,b6fa74dc,f626e41c,ffad926b,901ae851,4e42c870,3d04838a,9f0682fb,bc13c849,a515d5f2,f248f393,e2caf0c9,b6d61d0c)
+,S(3894cdb3,425c618e,1da2c6bd,1177109c,49362a4f,24030692,244bb0dc,27af6913,20c0021,5c72939a,497f08f0,bdb03493,8d04ddd4,8fe8f3f2,97dfef19,ec9397c5)
+,S(394f74a9,9146fd43,9035266b,ccee72e9,36ff59cb,eab7bf4e,925c6363,fce7d4f0,c7da15cb,c1cdcea3,21efb1fd,c56bb3d1,2bda06b9,993b6f5b,2293e493,5aa3e5a)
+,S(44fc66ca,d6e67f97,be95c667,fd5dfdfe,dc82edba,35df2bf4,737b3ba4,14d15c27,9c485757,351825c5,245c6eab,2ec4a51b,ac60c9db,fff7988d,8f28728e,60f418d)
+,S(fa355672,d9f7a1c5,30b2d76,f183720f,e50840cc,ba413b64,e449d2a,8b0518dc,63fe1c7f,d97c7744,35613167,660926e3,b7377fd5,97dad03c,9debba5c,a5a76e3)
+,S(7325c269,50f1bf21,2f9cff6a,170e446e,62dafc2c,f05dc50,4eb951d2,6322eefa,5f8fa04f,ac5232b6,cb553630,5a48b647,263a57d1,2c485363,6c930497,40965f00)
+,S(7004b364,c89ac7ba,ad03a03c,c8e2972,e5fc52c,bc656165,e08df216,afa216c2,971a4284,80556797,ebea8b1c,b37de6a4,1aa11abb,df9b28b7,7f50d362,b6554974)
+,S(ffd45087,eb9308fe,e7644817,9406d9b9,77364732,f3570ebe,80a4710d,a0ef292f,f4ae4df0,5af2ee0e,456cca0a,2c9d93a0,83eb9751,a09c2f8c,5bcefce7,83764ffc)
+,S(ad899e8b,a7aedce9,e53d86ac,5ca15408,140c8f1d,be3ba4a4,275f332f,b0320572,a914795,bfd9850a,24251eda,98bced8f,2e2627a7,8a1bf6e2,8b66ffec,f11ea105)
+,S(7078718d,e94255ff,ae25f1df,4ec2ad90,e59ada11,5ad4a6dc,8b305fcb,93a1114f,ee736453,927cd7ed,bbb55010,32eaa95c,c0f6bb42,be77db4d,62b77650,1094ed7e)
+,S(30858d4c,d39abb36,51b8d35,58800c18,5495bf31,bf23dc8b,176c1f04,171e304b,3aad8415,4abdfbb9,1eb95aa8,4e7ace9b,fd8b5f6f,cc8ea08b,e094c874,8161f85a)
+,S(c06d6d2e,5637fd7f,df08b41e,5573478b,eb19dded,ead1f0c2,9309fd59,9551c787,78cb2514,37d4ca62,91bab9c5,57e88244,edb9dc30,fb1a6441,78217039,628e1db2)
+,S(2f93455c,279d2a26,1cc7b724,4c32c853,459e5d99,32692fd8,ffe7ff0e,493de2c2,455f0902,74d698dd,a1a97586,fe797421,899f7c22,60ef0bbd,db0664e8,fa323156)
+,S(c00c345b,b4b53f5a,5dbc5f10,597dbad0,75e28162,32e0ac71,fd778c50,20b663d5,c30f78de,3495063e,ab98f001,83fb4bb5,5cbf58a9,1bd52ea5,36a4a38b,cfe89288)
+,S(7d78faed,f86a22b0,14e86e1d,f98d425c,fe2e65a2,39b37994,ab25a4d8,5c863382,cffee7d6,5181e361,679c9d51,feff7a36,e8d84282,32e752b9,62689eef,a1ff4441)
+,S(ab492cb1,da2e8463,a2536c0c,7cf143a5,9626497b,23d4c179,d2af4cc7,f2b55866,11d4205f,55a74f81,e9512496,becb61c4,6363c42d,baede671,9bd7f2f9,3e00b14d)
+,S(d1a3790b,478bf657,360b3459,555e1dc4,ece339d6,93b5b51c,8a3af121,79578688,c6028991,3ea89956,802f8b8e,cfc8dbc3,5894846d,1aba2074,9a55153b,83f73891)
+,S(6fbb6fcd,36fe0388,a4bb648c,95a004f9,b3c64e4f,9aad672b,42d8c649,4c0cef3e,51be473c,74ca2609,c3b79c60,2fe90d98,62eb9d14,b9e52aa9,ddde106f,7253da44)
+,S(db150ec5,680299af,681ce826,794e4818,c0d6d3d,e3c392e2,79ecb408,aa55b243,15e47cbc,1c4689bf,fbf7ef42,1db5c57b,e3ab8c16,b69bb518,2ed8a1cf,20067de8)
+,S(51ffc919,afe67f04,a889323f,4438da99,72d2161a,54f9e81f,aa1e644e,9cb88835,e4b579b7,e985b38b,486d0600,3f825538,52a9d0ca,b8fc98d4,371a7e33,4898742b)
+,S(fc86c54a,48052ae8,d8480235,e4dbb7a7,6d05d830,d2c0cbbd,297db0cf,3d2d6cea,6cd61522,e2a22531,da973c1f,9cca1c77,98ff66a3,8f568935,e378f73f,9f1d7dc3)
+,S(d440de01,20d619b0,6add3d7f,66184864,5754a424,f4b1054,479a83bc,7df0db9f,3f09b245,91124175,89071c56,84215cde,a6999b17,b5b2f664,6074e7ec,6c38f68e)
+,S(f3310bc7,7556f234,e7c83d69,48afebf0,5bd91a25,b516cf84,60d0d6ec,8483fefa,1d10f23c,e0e35816,6b817553,cbae0792,9e34a4a6,ebb47186,1d401341,1ef2b3e3)
+,S(ea770a59,e88b598d,493fc75c,62eaa9e7,485271dc,edeb1d2f,76df983e,54cbb51c,e2a4baac,96c9538,3de82a29,5bf3cf30,53bfe2e4,6fb0861d,65c60c09,978601f)
+,S(2cd56ef8,6fd04d2a,ed4f8520,951798c2,a1c69a38,8e635a2c,edfeb08e,3af0e331,3b9de80c,42e0c683,85aecbd9,c8775b56,86a8a376,39efd24,98664343,e712707f)
+,S(37bb0206,c96d8fd4,5315e96c,860f5cb4,a44d2b6d,af17844,bc305b4b,59c9c649,c77b4a05,373c42e4,e071090a,7da9b4a,4ccbbeaf,d399496d,f6fea1d1,a83808b1)
+,S(55fa08fb,f83dab6e,ea7034db,15bbddc0,ab2b472a,b29861af,543a970e,d16033ff,73c8a90a,86542970,4e25f370,a5caa4b,a68eb72f,5ede1edc,5549105,491858cd)
+,S(4eafb675,281fe8,98593817,efe128ca,c59fb775,82f6006f,339631e0,6e7d2e7f,41347946,6630f6d3,9fa97404,6808067f,fca9e173,3e1c4149,6567eacf,47a0bc6)
+,S(857587d8,375f24f9,e6924793,9ddf3a60,e0469f38,6ea0d55,d990f1e8,4ba5c7dc,1913a118,9d867c57,2f947fb4,3e062cec,3df37c3,e8edc6b1,927b315d,10c37be3)
+,S(89e334d8,f71eacef,6cdd0a87,b1e03352,1078a1fd,20dff144,10108202,93143815,8b49aebe,71b60eca,c9256794,3cf74d9,80bb3e47,161b2730,9ed15872,7accd84c)
+,S(69902d6,8a4ecb1,d2e496e8,cdaebf94,58f71f94,8f4341a4,11fbc2dc,524f694a,19a54c4a,5de17930,6c50cc03,b0b8d54,b613cd31,6f0bdfb7,851db63a,9c605896)
+,S(52f8a3bc,832de46,1bade518,50121b5d,2ff475ab,5eb0e71b,a91ede46,41f0d576,2a946bc4,42f24ef9,469b8121,31021186,5b22f3a,adf93648,5b7907e4,791236e2)
+,S(146fc341,4ca1c497,73734f6b,b78ee9e,56fedee4,9487ea01,a31d3e4c,152d2bf,82e21722,e415f5a4,1a076f3a,8324db4,2436da5,a3776f60,b5c6f53d,e5419db9)
+,S(9e22043,8458e463,b1bd7399,28200a4f,ef7c3760,a7b6357e,afc29a5e,36b37b94,b1f5fd78,c1c40d98,1473fd4e,72af64d7,7387c28b,7f005191,5ed2587,674877a1)
+,S(53190555,8d044a1b,94caad4,526cbed1,82807c65,2bb053d7,61301ab9,68323f1d,ce591f2d,61b47a8f,8707d8f6,a8717139,68ad569a,667ba4ac,f2d18356,ab6d326f)
+,S(b93b3c6b,1297cadc,392b0cab,da322a1f,69791a68,b48b0ce7,4352ba3b,b8a3cc8a,136ec007,24fd378a,53d5c573,3aa7a06,15b2fb20,4fed82ea,934bc131,7e7ef22)
+,S(62e6af72,a9fcc956,4367d44,c0699897,3674e3f7,b79c67bb,8c8a82f1,6d3f744,4c1e4e33,2e9316ff,24a7b38d,13ed1b30,a659a8d1,8423db6a,af6324f9,4e7d5475)
+,S(c91facca,aad0790,886c4421,d28f3ce2,9d64dc87,514f06d,cfe95063,dbbd0e3b,e7a0c83a,18d655d9,7a555c51,4bf8f117,59ce866c,61a7e691,8ecb1cfc,21e50710)
+,S(72b3b928,bea91ce8,767b2f22,958458ab,9a23f455,78f836,65c89717,7e7ea502,773235f2,c9ec74e1,c06e4e7f,89247d12,27f303ff,2fa354a0,663791a6,ffa40e49)
+,S(1b014ac2,7213cc08,67877fa3,c0c07b1d,91529259,23f6164c,f1d204d9,addd6f4e,e0dec57a,c1ec264e,380909bc,c62394c7,413cfd48,180b1de1,c5440d08,99c67f2a)
+,S(985e8845,97e2831c,4ba48888,ac219b3,bd891dc,63176953,4e0d8a96,bf583a83,5afa0b31,1e909594,4b228958,657b95dc,a198b008,6f5cda96,c3e4da6d,e444a418)
+,S(ec3cded4,cce88ac6,22315a51,ec99ed3,1ba2cb32,74a43e6,98e033d4,e490bae,1c2a2236,2704a765,252b2a57,aa1ecaa5,4f1c21a5,2d67c050,a3dba077,ad4b4480)
+,S(f882c4f7,7911f6e8,64da7cb0,5f09da54,b9cf7125,21504815,e6fdb9e5,73f24be6,9ba4a4c1,e0978ee6,1f83aedc,b1db2193,518a71d0,c112b9fa,59c629cd,d42ebde2)
+,S(f06c3a4a,9f1e80cb,e2ee6b06,ff50e447,13d8eddd,5857243c,cd02c5d2,7996eac6,6b38bddf,fccb4888,da20ce7e,495bac5e,7b9ec8b2,2feaff5,8d4329c3,c546e839)
+,S(dd1c366d,5be82883,eb86da5a,f9b5d5b2,89de6b9,1165b91c,20ad7b73,ab4de421,19bb181,70b31a81,45232ba7,ed0fa93c,273751f4,838633f3,c94647e2,93c06bc0)
+,S(e965c1f6,89b3f7a5,97d23d9f,378b9a03,fb1c6e29,5354de36,a5bfed53,3338372e,d98295bd,890e98a5,9d6dd93d,bd9eca2e,e79b028c,7459779c,2d3fb665,46692242)
+,S(4f9148b6,cf21f5fd,911d7fb0,e92132d4,686d3e10,12da444b,f5a89040,69c2fcaf,60e9b3ef,924260db,ad68793a,d684c316,6889b0d0,38474c70,6ca25978,4a5fa7ad)
+,S(d9341e6,6a505a91,dcefd533,90abbd54,52b39594,42deef9f,6a67dac0,8faa5e00,eafdc1b5,2b7c97f2,21ba8635,d49b58fd,17cc7983,92e09d13,8c41d679,6fda331)
+,S(b948bed3,4f426bbc,e6c24ca1,fd1d2092,1de6f9d9,f561c32f,877a4104,afe81ae6,5cacf40d,f6fba19d,763c5b0b,83aaa284,f9485705,ad882b6,d51bd46c,b12f532e)
+,S(73011c97,dbeaca8,8bf04371,311e9558,1e494b73,1778a2f3,cf906cdf,64dd781f,2b5abb31,c2e56a38,e8236f7f,b28a93ec,1bef3fc8,9be46d92,c2fc476c,42ff4ed9)
+,S(44835043,1373a095,13f756e7,36ac8342,24004348,70d6cc5d,ba31f74d,565056ce,748f041b,a9c990b7,70c36f68,5667109a,acdad74d,4569b107,c968e517,143499ae)
+,S(3463b029,e9dd1907,bba2b582,c9ff1f26,4a5ef4b,40f5af28,2a00c136,97145ffd,9e30bb18,fbb70c1c,edff9065,968523af,33665b53,3f14457f,59d7edbb,d5f07c5c)
+,S(5d95aa9a,9fc67758,56e6655c,21a62670,c567e236,a41b523,436beb2c,18e69c97,d6478496,4220cd62,b4651e8f,965bbde3,22aeacc0,6557f656,764a20e4,649a1ea5)
+,S(48c65239,d03715f5,71ddc36f,313a1723,b014c047,30cbbd8b,ca9617b,e8fb3874,c0bd39e6,3cc00fde,74c991cf,f6d711a5,356b029,5b6eb9c0,28c445af,21de8325)
+,S(67c610ba,fda8dfe6,c7977b70,7a57ebd3,9654c7d4,c9a0aef2,80c896e0,e8134078,c3d4ffc9,891a4267,612aefe9,6c1093f7,8e1b9a58,746c986,c5265381,3ba46aef)
+,S(4605213f,4a21b15a,4a471e10,f157d0c3,faebaf0a,f7cd05c5,a27c56c1,88b6d430,9853c145,5f4b3d38,200aebf9,d08f87ae,3eb4a99a,3d94ace2,94331e03,876fb751)
+,S(6277ce5d,fb56c2fe,3d32e28d,6754255a,ecece179,70615443,b0d33e5e,b54e475e,dc7a742f,92160074,69d53e73,da526102,a6f68e7f,e8f07a91,98614f0c,17daf06c)
+,S(7fbc032a,fdb50898,3270249c,f1a7d27d,198432c1,6815b7d2,c929ab67,bf12f01a,dd696a37,fbc4f852,6db85ca0,6bb498e8,6dc33480,a4f84564,2b49775a,6bf20ae)
+,S(dc849e28,6b934ef,30cab6c0,1cffaed6,9ea74ab6,96578027,4c88845b,8ac264f1,6d7f94ae,347b9b18,bfa2bc0,d6b9a8c1,13ef1a70,78e317a2,53f21590,667f4b5d)
+,S(e29e0833,7da9e0b6,b6886c7d,fe010cd8,9a4b10c6,f5e4ce38,c1202f59,94a69016,de082f4a,9c21db41,573dde9,d2ca8256,57c67173,207d43ef,e42ea81a,ee812dbe)
+,S(407f0e21,ddccb63b,5672eb15,742d72f7,1a522f9,20d04247,3e1438e3,7bdecd35,28d6f39c,cfb36986,351d7619,daba6271,3c9869f9,357504d3,25c112bb,74ad336e)
+,S(653286df,15bf657f,1685bb92,98462383,7c819def,84a8c332,77f6d777,4c8dd3b3,c5ea3d4e,f7a97324,96a98abe,f999c25,9a8c622c,944a099e,146c0708,d108eb34)
+,S(47613ca6,ca7fe67f,4286f12d,3b4bcd86,455a1863,94f2bfca,e162f991,3bf6ed7f,4409a6d6,2ae63ffa,a3f2be74,e7d0e5e,3ad4704,76282b0,c2919750,72be1386)
+,S(8f9bf4cb,4aee791,12162fff,75f35393,509fcd4d,aada298,655bd58f,567e6adb,893c8b52,c2c25f8,e2ea051e,d1a35a3c,8ddbbf9f,508ac792,37e53143,7818102f)
+,S(4b25cee4,2f955db9,79c85682,4dae806a,3925a33c,42e6b6b6,ab4997bd,884f68b1,ebe38f45,bfa13922,d3112af9,1324f526,1c5f864f,4d722576,24e3afe9,9eb7ebd8)
+,S(a8a40ca0,56b5e168,6fb9a348,ae26b15b,cf812cc5,b9c5abc3,44f86021,69958e81,a55421a9,4f1fda1a,f6d64e48,cee3e4a3,434293d6,b49a5cde,b521c0de,49cd31cd)
+,S(1f7e97c6,198e27a6,48ffebcb,55c001f0,d591ca64,77c7c1f9,43928e2d,dbe88dfe,2dcf0a3f,f296f744,dd402fd2,48d29c96,49abc871,28624da,28134cf7,6242e6d2)
+,S(7ee29348,7d6520a5,586b3ba7,4a0a660a,a4392e5b,77529e8b,890a5927,aad1ab71,a51d3123,b4faabc3,77bcc565,d66d4c40,92decf92,f63f81d2,ba3a4f06,2a8ea485)
+,S(30880ed,b4f5f2d0,95c34730,d10a8c02,11efdf6,784b4886,4afff98c,407734fe,4ca4b106,41c55905,9a19cbaa,bc6837b5,300aa1c9,8b0d8a72,8caf5cd2,914ea693)
+,S(bb7ffe45,b725038b,597a20e2,6f67d0fa,c77730e2,4ebadc9a,23afb4ef,a01b4d50,dcfbe717,46bc35b9,81357857,c0b4564e,1ea11852,c5ed8372,bd15eb69,e674e14c)
+,S(ddb59e25,20a5842c,62607d4c,6d31f2ed,b79e387,527dc12,5d96fd04,84385e51,2a167f97,85ee4285,7471c45,2c38639e,69940f77,b3fcd54c,a697100,37d9e5ef)
+,S(3c405df1,36b1c6f9,99fe0b3,2bf5a305,bfa4a6e9,994a1506,9c5fcfc,318dacf5,ba5ab8fe,43a2de82,ce289cf1,2255f554,d7881d08,a54017f1,e0c84180,d963f3b8)
+,S(ed4e6e9c,9d4eb277,73f2249c,13d6fc1c,5c07be47,9ca48e35,913f6fe8,384851a0,8242617e,36b3c298,b13aab58,b7383dd7,93ccd4d1,7787062e,195456ec,43fc4198)
+,S(60fb7766,9f312be7,11d0a269,a72a85c,e06b70c8,1d34416f,f7ce1a28,41d50895,ba2097a9,772a616c,82cd5dc7,84585c80,65206913,474f49ef,71579a3f,8cc0d825)
+,S(1336a678,bd5d495d,c688c039,a60b256,a09fc946,830fa80b,1622890d,9c8f0881,6d57f261,b1073b42,f6eeb514,58e994f4,7406b3f2,7245a0e7,528748fc,65a4937a)
+,S(adb7e6dc,72c02a9,fb99645e,a3695824,db60df0b,f9b6a420,75cf02bc,4e3713ee,96325866,2a062180,20f8b86e,e5ef1e04,57d01fd6,d5541d6e,50798883,9f03b3c)
+,S(674d6e5a,6501f824,87efd592,c37bc14a,ab596cec,4d5e6e8f,1be44a53,a9d2f416,e6ca1153,76af0429,1bc2dd6b,2c47a816,c17e0ad7,c252c1d,cdede8fd,c9a18630)
+,S(ed73f5a7,93dd0359,68e253ba,8ac4f2ae,83d7f290,24eea4b6,fdc418e2,4b63dcdb,bf687b81,4691d48,5296e192,d5371ec,daa831ea,ce2d502,4e321add,b62f0faa)
+,S(601cc630,47ce63d2,c1fbbc49,f3b2dbe5,6edbca09,17ac41e9,b39f7ac4,5cb3ff8,a773b9b6,d98c7b35,458e956f,f9cc71e0,8539b118,bc2529f0,fd496e54,efc2b25f)
+,S(a31ffa07,e16fd36d,2edd7d1d,944ecdb8,2da2641e,cc6ccfe1,88219a67,5677a740,c2253d87,59ab43d7,c919710,9e9ecdae,df1f2d82,d34c5d82,d113958f,cbf1e3f)
+,S(131060f1,ba302b06,b26360ad,de531db3,422a6bc9,6ca1e9e2,98b5da8a,c8266249,4dae16bd,40159bfc,96665d6a,d64c6c5,3ce90fe0,95a316a6,8cb84844,ec183cf9)
+,S(f4a29fd7,90f35f1f,4b3240d6,c0cbb983,3e701a9b,ca241d3d,bb7630a6,da2de25a,b2ecd794,5afa51e0,1caf3c21,5334dd9e,9f9a1f6b,8f35767f,c63a3f00,69c01382)
+,S(b30546b7,c5e45266,854b90ba,53afdab8,be115251,5ae22f1b,5e0c472b,a3b44042,f14a6b95,178fbb85,5aeb9cc3,a4e65560,3e8b18c1,4cc54cb4,1e059597,faad7f4)
+,S(b6cbbb5,10ff83fb,c8bdd55f,cfafeae8,947f5e83,4cc78eef,dce45dee,2014e175,d0e29276,a14cfda6,f518a3fc,ac6a4163,13666f91,ce5ae7b9,7abfdff4,925cd415)
+,S(fcaed74f,19199482,564ce4b0,7e1033ca,c17bd418,769981bb,6547caa3,b61bafd1,c52c08e,f5331ccc,271b108d,5e7794ee,4a493ce4,f6665773,f97902d6,ffcf40e0)
+,S(c6d1ed83,29ade032,c9924945,189ff23a,c6b1befa,e4a33794,8b1b4126,6d14344d,6e1c0e9f,da231092,86d23cb3,2c588799,507368b8,8c0628de,b8a79c97,e4ba817f)
+,S(ac7d0edb,a7b86cdb,60963277,cac43674,19dc5d85,ccd9a649,bd335dd5,eea2a9e2,61790bc0,ddf5307a,56fce870,4bc9eed6,9d61d857,f4d2fd34,d53a97f2,4c4c5206)
+,S(fd9d0c61,d3dc3ff9,bc3735e2,b2c7d5d6,4a740b1a,bcd46a7a,860816f9,84a64645,701e082a,5e59460e,c3e3ca21,40137ed1,5bf9ef49,fb4673c7,4fa5e4ff,2ad8b762)
+,S(82ce7d44,87101716,6ee31310,11bdf02b,336fe44c,88572c37,930a33ff,5bdcea1c,d7fdb097,3961ba18,b53b421b,21c0424b,7b4807ae,256d883e,2e3a6f22,9bc44c0b)
+,S(5e507c80,bbd32e0b,efc31714,b464580e,f7ccd3a5,2004f2f1,9fb9b0f6,dad1a767,95facec8,a3b5c996,e0bc9d5f,77c11407,d0ee071b,9cf5af3d,ed625025,3aecc75b)
+,S(640d6b4e,bde998b4,1bc86fbe,2e981683,a83789d,b71bca76,76715a29,143c9b55,61334a92,358ae235,104aca00,a632006b,769475a,da8789f4,f7047f75,c8b1123d)
+,S(e951dbb6,96ceb16b,6059c3ec,9d84ae8b,8adb146f,fd79a323,59c04677,aff990e,d3443900,ea47be0e,10ea9178,3f1524f2,fe5c5720,efb62458,987dea0f,1612a94e)
+,S(2b601b8a,550333aa,2a0e98c9,a4b28043,aa38f20b,13a72cb8,7a8cf212,cd0a2a92,2f3f309d,ff296fbb,a406602b,be72d9bb,c3ca0578,f5f0aa08,6e65ec0d,8989f670)
+,S(d803b242,9814658d,df7cb378,bb9708ed,6ddd7270,ffb7d712,b64da007,158a5add,bffd353d,c4d664f8,6d7f150f,30e44ace,fef4abe3,83f30369,15b4d5d6,5ba3c131)
+,S(d5a8348d,fbb9f9d5,798d7d1f,3515e25d,a2707869,26ae598d,500186d8,a284e86d,ce31c62,19960c61,f2a8a7bd,2fa36f0d,6ea7838,5463a4a2,9dc1ee95,2f37905)
+,S(250dd67,781128de,65f0529a,11b2405b,eab01ee0,1e9bde06,cabcc9d3,cd038065,524aa9b5,8dc5c6e0,6951aa70,c4bfdffe,a2dae26c,1e8341a,5f63a180,731a0dcb)
+,S(f3a2017,127dab2a,917dfaba,5eabb6da,bebe554,431e796f,a3b09771,66cd47ec,69d1de46,2e63beeb,1334fccd,ce147b96,23683942,21c4865c,d50fd687,5c1659c1)
+,S(15626140,5aabf9f9,d7dfd218,3d7fe2c,900ee051,784537b8,deab8bcf,20c6e0e,863d8797,f2b20b0d,ca1a5b93,9a43a712,4d5f0725,8ae7caba,4b76d308,65f9a98b)
+,S(3261fb49,2c55978b,20d2c5b2,3e6ac5d9,5e3b40a9,462b748c,62a41035,2efd227a,4072fb7e,3fafe456,8f62f4c9,83d0988f,f9096c14,317f7584,9fc1aed1,3e39708)
+,S(2a5e6aaa,f5cd7466,b851802b,80305dff,3e655dd9,b0456bfc,fe704eb8,582836ac,2e3894d5,762e70d0,4d3595f8,83dbec7d,5125720,c516fcd,f361ab22,be67062d)
+,S(e85a7e08,13294e2a,6eebb00d,2e3fdd76,318b7520,dc682705,8b3e923d,536cbcd7,5a936569,77b89e9f,10c4ba6b,7dcb1611,fb6a85fd,af0b1136,b19cf222,a2e9a477)
+,S(8e36e66d,2f080ff2,a24ac836,25e50148,e5017b7d,b898820c,b7d73214,bc198b28,edf99b43,c2b976b1,6eda2a75,f8bf5aa8,6945d700,9965b528,bb78b530,3888c56d)
+,S(99ead62e,11cc613f,2290332b,9d5ddb98,8c121ed5,21a0147,589bbfe7,db0f0c58,6e73b10d,bac646ab,44f3a062,4150da41,d666523f,ed55fdc1,c1146fd8,c4a262a7)
+,S(15e233c4,783fced,39c74cb4,34e77491,83004e2,6e16c372,f6f7f23a,e30efb13,c9954660,eedf09c3,af8e1642,3b57af59,227ee5fc,e1885837,5ac5a853,34fc5034)
+,S(3b33e0a1,254d310d,efbf526a,8a2314bf,18bb490f,e592e36f,6763b174,96f57a67,e4e6a395,a6e6c730,67fb2e0e,2c5dba63,9745daf8,bb9d6aab,e96f59d0,8eb24c83)
+,S(8be3fe6,f3e45fda,270d54e6,49bdfa8c,1dbbecf6,35922aca,2d605c66,6933e859,10269847,15eddf7f,b7b23972,ed1f6fd6,882481f9,1a12eed7,f8fabad9,da0917c5)
+,S(ae6863ae,e6d519be,773edc77,8e7bb5a7,5e0d30ca,91dd0920,aee35870,5bf6effc,d104a8c4,1939444a,1a5843e3,92fc5fa8,d2dd864c,1f442938,9dbdb543,415988b3)
+,S(58a06c8c,658430fe,e03b3218,6ec051c1,18174f8b,ade2cfb4,a98cd9b8,13e12dc,17f4ba3,da575c84,81cdfc04,25567dd5,1d2b5e94,a8ed37cb,346f88fa,e6f3553c)
+,S(cf0b0d64,3843e10f,142ff912,720373e7,2fd18576,1f3d6c71,52647afc,1ebae367,8ed9b909,f4b622d8,cf5d5b19,fa2e1cc4,bdb42133,c4dd9261,22f1aef4,6dac4c64)
+,S(8be41872,15902e71,8f75558e,4b1a5ba7,9d3522d2,e8a2d723,f863c4d7,3c4713a9,f7be5a77,6b8ea8ee,1e59765,ecc6a33d,210eadbf,df4c5586,aba43710,49c715f3)
+,S(1e6bfed2,36a10a7d,9efd88cf,af1dc1f1,9649197f,785b4a30,c68391ce,808f713b,90200be1,29c5235f,41a79bc7,2d4d10a9,b00911cf,b9f27b5c,6d47eba9,8530b8c8)
+,S(97176463,8cee344b,1ebd8c67,17782c6a,86108b76,e1eb74a0,791527dd,b18e14b5,ccb128c5,2295ca09,626ccd39,b5827ffc,3168a628,6633843e,96184aed,d7bf898a)
+,S(2fd20134,8e0b7259,415cc828,c3e4f79b,2184735c,86e534dd,77f1c5b9,9d8cbacb,41fc80ab,25ca1a82,67582a89,f901ac61,2237b942,9d724a2b,8cd0dcb6,c96564b2)
+,S(5ba918f6,6bdb4013,481bee06,6aaafa88,f741c362,b5c3a4b,28dd4555,3c1aadd2,230f6c20,f39849af,9de4ff99,8e39ebcd,818d5d6d,8056ca67,8f04f33a,c4fafac5)
+,S(69b5676d,b8e2a30a,8870c86c,4a859ba0,dee25a28,493909f0,9ac88af6,83b70797,4831db1,98c1b4dc,69942571,e4908ac7,41ec4568,e27089a4,682ee7c9,8ee905d2)
+,S(faab5a9a,c530f7a3,343c71a4,273935bc,fb280258,24a63ce,8f8da6e2,a60135ab,1443a23e,793eb339,f4353371,34937bbe,9bda0eb8,c2fa2d50,bcd85757,68c79797)
+,S(c70ef20,284cf135,7c437093,10451a9e,5ef10cbf,e3a0ebfd,b90f487b,8ca62d9,8970b394,35c29dc2,b8254d1c,9c4cdf54,6df52979,ca70ff8a,7dc171b0,5a176ce5)
+,S(acb67abb,fa6dfd52,e9829767,182f5ea5,66dfaeab,42a2f2d9,aaa545e1,2e9cc68e,4a097150,2367b1eb,4f51f6c,a394d351,b734b30f,fb36dba0,9e53b4ea,3f6ebfce)
+,S(2da4ea09,315e0f1b,f5b6e0c5,b8af330c,c27e26ef,54affcdb,fda834bc,cd578a3,a4097d6,ad006cca,53ea3391,10c80150,f63694be,c5ea7728,f77ebb83,2362a407)
+,S(70cb8427,c2d5ee86,59b26055,3499374,63e7a482,6731ab85,6b3fd10b,be3dfdf,f44efbf9,a914063,3e8378c2,6e9676b8,351b6ddb,33f7e7db,5ced5208,e4cb7361)
+,S(b14283ed,9a9db980,b135557d,97190066,60e4e1cd,3ab288b8,dccba9b1,67b24934,95fccfb3,827332be,a813457f,28a63a89,87dc8c5,340a8f88,76788a60,f03b2606)
+,S(ca24774c,727efbb1,15bbbf12,20e59841,891dfd50,9f99744d,de815f5f,3e959555,2519e414,a9703de5,60f7412d,8949f509,bacecf3a,e672e7ac,58c5f98e,33162bb2)
+,S(5a5c1b07,ddc79f18,26bb95e1,13e03894,bb63b593,c808f0a4,2bd44b36,dcd3765,a11bc328,2f672c9e,60846826,521add7,57b891b5,d4fde6c9,738c6329,dabf67b4)
+,S(2caf2545,1daf272a,b169a4e9,b0eb9c0d,26888c18,ae7d8357,b8dd2b73,ee4cf7dc,bf8d8ea3,afc9d56d,9799083,c79f1289,7d20d7ed,48ba38a1,acb039b1,2292a3c5)
+,S(af6650e3,4022d1a1,b66e8c3a,b0a8e9f3,baf44318,f6946a0d,d1c65aa1,e3f9c9ce,1b0222c1,a5f3691a,248154bc,bc9e5e9c,6b2c96c1,ca468feb,97a7c01f,2551bd5)
+,S(3653e476,4215cd7f,83ff59e2,f63f2a7f,dafb8795,95006bd0,182e0e,78ca5b39,c91824ee,6ba3c685,2eeb2695,9a3b136b,371c9bac,4141344c,a1eb3051,8a6d8ab9)
+,S(7826902b,cdd4e7b5,463452e1,baf88534,64723588,86643d49,cc89b482,298f6394,dd5bf1b6,91647ce2,86c745eb,6246d087,35cba4f,22c26a37,e326ed1c,4e3d968b)
+,S(da19c301,4e77f987,abb00fda,8a5dc50f,d2777850,1fafec84,2ce7e5f6,37edd1da,757fb28b,366104a8,cbd26981,3697d8c7,821c6e0e,5acbb33f,9cbd5fed,25cce98a)
+,S(efa31697,2a61cf86,df713186,c1bc61f7,63a618a0,8034c26c,462a2457,907436a,74f17527,e6c7aebb,ed6b28c6,26e612bf,82d61ad,cd1ca156,b971abfe,2efb15b0)
+,S(379d460d,12fc351,4c46567a,ce05cc9e,ded3cc35,fb416bfb,76d14f3b,c5164f7e,f548ad44,a5c87313,aeb52885,5ac3a955,178c8992,2415837d,d3e7863d,685004fe)
+,S(e3b66f05,ed217cb1,6e3f8ce3,56704f70,36b97104,e39c5649,83bc204c,5b112de4,8a2ee4f3,ab9c8cd4,40afe707,d8dc0fed,473db9c1,be2b6e7,b14de905,ba38ae2c)
+,S(b14ebf0c,ccda021d,8db1fd20,a4108c48,750d10a7,e0659cca,64f3e6e,ee8c7a4d,c94ca9d4,d2ba47e4,576aaaad,c15f9019,f335ebc5,763cf232,f56f215d,ce42322c)
+,S(1ffb2e29,df24e7a7,6a71f607,f4f03608,43d3715f,c3e468b9,92b684bf,1352cee1,27c39636,54ab505,4b008e5b,4598d025,ade823c3,df6aa7c8,18d4d4fd,32442990)
+,S(63e13d75,38f1eb8b,7276ee28,acd56bf0,448f026c,f98c77fd,5f743c24,4872b70,845d65c0,a6cd8b30,7c7ea0c9,8024773,86a50daa,3f361539,57cf995a,43705cc4)
+,S(169b95d5,417e6173,b4393c6f,1ace153c,21c83c7c,971418f1,27e1abf3,aaa04673,bcd1ca4e,5618a183,420b34d2,52d25dfa,e7cf699,3e936450,ffaae3d4,61a50c50)
+,S(3dde4fce,54d27794,29b6f6a5,8c5315ff,ed682bc4,5601c623,948faa88,2309ed27,2b22dfb2,dc46f625,4f29f8a1,4cb4496a,dcef6806,26d4f499,a17c4751,4a1802a7)
+,S(6b37e3b0,2422eccb,299e2b89,1a150be9,ef56a628,62c78c11,f3411614,9fd37802,a9c347b1,fa5105c5,a27ed367,261a1cb5,5d54a071,7a2927ed,29d45eca,6e958295)
+,S(7bd6703,ef78de4d,f32f0d7a,274f6371,2d0b0a9b,fafc3f6f,5c03b654,599b443a,33d9b1b6,8254d47d,6aabb7b0,b66298d,8447d674,4612a2b1,f722a597,857fda25)
+,S(2e9a4aa0,a2062c8a,63b18e5f,91a609de,b60ae126,93d7f1fa,757057e9,ce169b61,65a55523,e34dd131,3597b250,acd11763,62df6b07,1d3f0f1b,907fe0bf,46ff87ca)
+,S(f90c1316,9524f407,8c7328a7,126c48f4,eadd6d65,8baccd1f,403a0b68,ff95e7e1,1d6a1b16,6f5b4f7,9f51b046,42306f53,bd84b7df,2a58457a,a8869,4111cb38)
+,S(a7bf0bfa,8e84b448,9ee29801,a5d06f66,a17d2374,a6d91eea,2482354d,66c60074,e60ec871,7ea63cc0,e4785455,478848c0,363f6717,748ee9f0,1c928370,df0905cf)
+,S(dc4ac1a8,372c06fb,ea7a44cd,11a352e6,fd204df6,f6868cb,5230e420,9ab36e6b,f3a1b986,c86134c7,40c0ac9f,8f2780,82a103aa,e9e4269,84516e09,659f668f)
+,S(538086b2,aba47aa4,dae137a4,4bc747ce,9bb225c0,6aa015db,e9478da5,e2c9cdb3,42ed59f0,fb831257,84b15d27,b9086eff,9aec4d8b,9ac36f87,10f93bbb,2ce7d971)
+,S(92eaffc8,955f3f06,fca49a8b,881734e8,6750b34a,d253f160,183388af,f18b8106,fdb45519,36f9e291,9e2e2e6f,7e5d2dfe,16e14da8,b5704a27,60e92d9b,13758767)
+,S(63fda46a,4350fdea,fba277c6,190c5f37,c4cf7c88,ab1b2ba5,7b0ce9ec,60249c46,b64fd169,403a2687,f5f41038,91e811f,6dbb344f,2c3a1492,fc408f74,433c65e)
+,S(f9f7568f,d2e444a8,14b03934,72564798,5c16424c,1ea6fa80,79f96df2,ff3c73d2,8ae3a292,fbef875d,ca18fd89,8e1e882c,ef7bc222,64140183,1cc2d268,ae795a14)
+,S(43a5ef22,93462849,ecbf95d,3c92eb63,ea89a39d,2e0a5da1,eb261c1f,2e8e4bdd,896699cd,e580ef97,64ef1860,19317dd,f7c17ccc,34d340dd,b23621fd,5e5ea5aa)
+,S(1fc26dd2,9a3ad966,4206f233,82e54363,6ec9d95e,a58e7af8,a4bc8aa4,736c155d,5f6c4cd9,c6f954f3,f0f3bc54,8bfc4a58,faec99d5,9f3466c0,bcc09053,346bab63)
+,S(9a63cdf2,84ee5189,34b73c8f,d8b3932a,50ff88f4,8ecf9b40,c0056c7e,168956b3,e52e7902,6a8d4e95,c7f473e3,84b9966e,16347c60,8b6fb6c8,484335c1,2872f4ad)
+,S(aabebcd6,8050337b,1e6caa45,13d279cc,ddc4c218,f849afff,8c1302f7,6b728bb5,808fc6b3,90c2f001,bff1993,346a55b3,663378d6,e457c639,b9a73f87,78ee8d09)
+,S(9fd45b70,59cd26ff,2188167,ecdb5ad7,62efbcf2,b668830b,475df22a,bf526239,6fa79fa0,e76536af,92eeace7,77c1b735,19092fd4,870ead71,35634768,700a1241)
+,S(ebb3ab2d,e71844f5,b6ff8baf,637cc0f1,1004611a,e8a3b570,1afeebb,a7a4edd4,30eed3cb,55a23613,3bec9aec,b620f1fb,1f39a067,8a44622e,84b9e271,62294133)
+,S(a0e7ea2e,33c6a3eb,423138d,8faa7ae1,d7802a73,507d48c1,bb38bcf9,29838ca,31158fe7,ad132036,62449ed9,76c4aa17,67382a8a,cd42c842,ed22badc,882d7d26)
+,S(a19abdde,db579ade,1dba9264,9d58b15f,1bf3b87c,eae44520,2ae758ad,f2164fa0,508d24fe,f53d8f4c,77e43ef8,eabecf3a,ddd04eeb,acfbecc9,637b6c07,fbe88084)
+,S(e86ea1ab,95e23d10,f086c91f,289e2f80,d10ea0bc,aa9d8f3,1873158d,19166976,4b6bc016,6d95e08a,72c4dac7,9eeb405f,938346d2,ae45ea0f,ab76ba98,8c4e910a)
+,S(aad23857,d8d835f8,e3785020,6b1cf1f1,efd9c9b6,ea15d42c,70444ed8,81710ca1,a550855c,381bca50,44be47c1,42d52259,af2f486f,622699a6,aec28138,554cf06f)
+,S(b5c04c3b,436fe2ac,97bf2043,3ba57e9b,897816bc,eb8383be,ab11d488,e231a138,b1ee4b56,1965ab9a,9fa87112,57a250a2,d7f06de,7759918d,85c69d66,5546a6c0)
+,S(eccf5dee,9b6e3fe3,1e3c02da,a2d5c408,72766edc,29da88b0,cdb01f4f,524b0ad9,7770c7e5,d97ca3f8,cdda858f,ed5976f7,cf2bdcc6,60459a64,daa495e9,28f4cc37)
+,S(4c34b06f,6d02467c,9e667ceb,630d9865,4540b18b,8832292a,17e74d9a,d0cabc6f,57671dd,326be6d0,2ada8789,b5f27c7,b052c8c7,d300b2b3,ef881a24,53bcb6eb)
+,S(9493f9c3,98a50b50,4db602ed,ef50cfce,5bcc9f0a,bcf80ffd,d5f65d1b,d030ca31,fb45d7d3,fc1216ac,6b948369,42d33e82,932af020,fd7c29f0,f2959eef,a41dcb30)
+,S(b0ca3c54,153d435,b9d6427a,20ac3456,ab980b67,ee92c6f7,605aa934,faee0bbc,2e2a47e6,8b959402,1ed83edb,d4968c6a,2eb4be8e,2cf128e3,a3778751,20f27b16)
+,S(d5632117,2e9b97eb,4b282d8e,1e303cbc,d50656df,2a99c9fa,bad35909,1888ee8b,30157215,efad51b8,20c03f8,2e4c9c93,11d15bc8,3dc75bea,e44e1e52,7f1ced7)
+,S(3a0f593b,69396a6f,62655efd,97c103db,5e209554,8d45de93,8963cbc0,dbb9b4b4,66ba5298,590d027b,30dcd9cc,e4605e4a,73adf43c,6e377bcc,cd19eb92,e20e267c)
+,S(10eb3c4c,cccd5ca,e15bcc7b,92d108a6,de762cec,b71bd78e,1917752f,b3f6cf86,6d65809c,79395f45,153d7650,74597eb7,edff81bb,598ed20b,f9780e45,bd91d077)
+,S(40ae7e81,e33791bd,154945a5,105be36f,57477fdd,d36f83f9,d31fb73c,862e70f9,71511daf,e9cde10a,7e4ff05b,948a0454,e5fcd355,d98b2bf5,8ed3ca54,1a568498)
+,S(994dac9f,3c047519,823c007c,57851a8d,41be0480,7c6ba5bb,88e19869,261fd12f,913e96eb,bcef4fe7,60469aed,51e9dbd8,4910d606,9646255c,9cb3bb7d,55b1e342)
+,S(f0d9a17d,112e91df,63c106a0,5df3cf41,6471b817,a3ede631,d845b604,3c04d0a5,3ab43cb6,cefaa228,5c84a42a,8f1f41b5,631bab61,1d006946,f06be576,bc817f18)
+,S(20919d38,ef12de1a,64992396,f7b265e6,2ab8267c,bb988d1a,6771d8e,724d16e5,81f79a2d,b629ce97,47f146d6,b16cdfd7,90fccd71,c46cf9f7,fe526e58,8ed1eafd)
+,S(b92087f7,43494d53,71978b1d,63e11ae8,a1595239,33b87a44,704ca3d5,30f1b02e,6eef6ac2,49a8550a,135072c2,9bb42afe,5d27c8f7,fec88aee,6274d27,36dc0eb)
+,S(f69dedef,a8894583,c05b1fd1,ae205fba,3ba11a37,ca628150,d287f01b,b6920b34,a9f88097,66d18287,9d97e01,5544c7ab,ca0cf8fc,c5b9f305,ed0bd9e5,58fa5b3d)
+,S(8bd8b3c9,a301a76,9f5607a3,e116edab,9d87bf79,e4099d62,a328c1c5,f8b8b6a2,167117ec,ce6e15da,47a076c7,afd851a0,cb5dd1c3,d8187f4a,9aa5abca,cc0af771)
+,S(d7e2bc76,e2a87357,82611,2619513c,10a2eff8,857fe6fe,a2e2c00,c6f8ef4f,85e1891f,531481a5,e935e80c,448d8da7,32f1d061,dd234e39,d55c58ee,df8cb93b)
+,S(2701bed3,778a857e,c7a9095e,6487e92c,555ecc9,32ad8e0f,b1b59d70,4131768c,9e38370a,8d30d5d6,6aac5302,efc7496b,cd5734a2,20d2e76e,fae3c72c,a793d991)
+,S(3662a916,a05a80a9,13bfc287,c81cf28b,7295dd1f,aa52badf,5ea1c83f,e1b90521,b14bfdf0,a33c9286,eac83a4c,b982f5ae,82e2e134,99bcb3de,3ac930e,2ed0c931)
+,S(d778d74e,317063ff,6556388e,2d2ac429,410337a,d62917,a94b7654,6a04787e,f7d92bac,c92600b4,e8184960,11f135fd,adef70da,b72c1bb,9da26bcf,7a81f0b7)
+,S(7b05001e,388f9197,ff3504fd,402a5291,d1257621,c8eb202b,dba87b56,154b6f8c,8c9c1c9b,5c151be,39f2875d,b31797ba,2899047b,6e5c491a,56f7fd28,1b897f2f)
+,S(603546d0,1fe46be0,eaa9f00f,c99b2a6f,c38fc225,6553bef4,9ff47442,ffa7626c,1f86de50,aa457ed,ea306251,91cc3cd5,61cbd8f3,2b41145f,139110f0,64b73b74)
+,S(80f9318a,ca3b7aca,65cb1965,a36981d0,86ba3b32,8a95cfd2,9c6bb718,1f662c25,c195025d,794abeff,49c9b1f6,724f72ca,70b0bada,d06ae11f,2101b49d,d592ae18)
+,S(61182e02,a877565b,1209dce1,bc84c62,f3b1007c,48332c56,6dd6e697,664cf64f,d21f9259,517656d1,3efe7166,750c341b,6c064b0,542bac29,28424a30,ce4b51cd)
+,S(21cd4f22,ec3a190c,77073680,58562d82,36d463c,f7706f10,fbebd283,c19378ff,2e04af2b,155beea,daace708,c510555b,467727fd,145426bd,680d1964,fc1b03b)
+,S(2d3f6c78,94479443,6004ac92,554a507c,5a20ffd6,f275f715,b176b3b5,3d2000b0,72e0e16f,9d9ceaa,2ffc5a1a,71a2cee0,eea64e44,7f716eec,1fc417be,ba16d92f)
+,S(a9f45433,c040d1ac,6bd36d33,5b655fd8,eec0d3a0,bf1a622b,df422039,239de17b,264ed6a,8da4a169,a66869a0,a846229e,81d52517,22fa4c2a,4c775322,f33b1184)
+,S(16e052be,bb65657c,309d67e5,b68ea441,4179ace2,38315c8f,df88626e,84281ce,91c007f,fcd4633e,597ee06e,b28296bf,2837f30,8cb21be5,9bdbd52c,4ae0422a)
+,S(ff6d96b6,f633beea,1de80512,73c06bbe,181a1098,db737c8,41a48d44,cfab935a,cd9a8011,c22b643a,90f1d9c7,54b7330f,1c1970fe,5ac04225,c2720054,fa6a8444)
+,S(dc2e3b1b,a2619ea0,6e4ddc09,99630c4a,7b94c78e,ed13517,25b8b8da,137fa467,f97e82ad,49bb4389,84cd752e,820aac43,bc6cccc3,f9b0d9eb,c2337bdd,89cb83c9)
+,S(d53b97c5,8e23d50a,3b855c43,80a992c9,2d667afa,bba4b028,20031f58,dd6947c9,24a54f43,bb9a04c0,8b93aa96,9dc61f92,e705ab75,e644a3c4,40391af0,ad375ec7)
+,S(b598a510,beb9cbc1,c4e03f8c,1ff610e0,7123ddc6,ad69dd6e,f9fa7810,f79c8ab3,b895b8f7,68a80a37,77d8b5bd,46754473,c9590768,a56fd586,58ce97a,366dcdbd)
+,S(cc2296b9,ee9726c,17b0cc6c,745a038e,38b5535,5e19fc49,e89f4ec3,372b2a05,6a466fd2,f9a5c412,9f5b2faf,aaef4cf2,be71406,590ae031,d68c482c,86e3f89f)
+,S(3e84c76e,254c858d,51cd4e74,72c22ec8,364ce28c,de81ddbf,b7b3093f,44acf9b3,ce8ae6f5,f56814dd,21186370,f70196d1,339c264b,c78a502e,bd57e771,b438c81c)
+,S(976f67c8,c626f8de,9de43f8b,39585d7f,d4cb35c6,e4211b00,68669ca9,a973a3db,ae4f1f6d,25af4ccc,3eca4b2f,6cda0cad,dcc28f78,c8e881c4,eaca9131,2f0b057)
+,S(b28bc958,aed50ba7,6d5293f9,7c419828,53bec43c,21ef0f96,9000fa47,49ee95e3,e7d4cc8f,f68182a2,15dee707,4df2c351,906d5527,c47e6414,54e97c1c,b57525b2)
+,S(e54dd5d2,16bc5903,9a630bba,7cccf5e6,81a3113e,be8fb57f,83c51209,965cddb2,86352dbf,5f2b2327,ca50458,b3b2cdd1,8d403629,a2e2a776,5562240,7e8407db)
+,S(58379e1a,10115a0,8f2b93a2,3f2f4e2,2787aaec,cf129910,b1911b43,c209f379,a526d32c,abd99175,e63b4493,7a0dc96e,e0feb99c,bbe00c91,1e606537,c871c6c2)
+,S(7858a68a,cb34cfd3,e1cb7d06,4d233322,ceefa6a7,a2de391f,991b94b4,da9ebd63,f54490f5,ede73b49,946ffe19,d5ae6f7f,ca026c07,b1dc0138,b1409383,5d792db0)
+,S(3c8c636e,d20d58c2,f03c26ac,bbbfed70,3fd13304,74bdf2ea,7526f16b,4fe6f7f7,550069d1,cec630e8,6d22af01,5981f20c,ffdfabdd,6416bb00,f2dd8c6a,44401759)
+,S(d03fc7ec,eb716cbd,f033d76e,8db97314,858674db,48ede8dc,1a1c7dd0,82ae7f93,16f7a717,a197fede,dadc25b5,a20b0486,1cfaa63e,3157e5ce,ff0c81d5,bba296d)
+,S(6d6c983e,d60601d4,ae5ef4ab,c73914c9,b9546964,a6a3d2a5,681b09cd,afee2c22,13f5af59,61877fb9,2a2ac09a,eb691a88,20ca8361,81359fa3,96558ad7,b2276b1b)
+,S(92a9f5d2,149065eb,1241d82,fd06ac2e,f1f48003,3bffb06b,ae3a9d88,a1d05f8d,f0be5964,75545835,f64b0985,1baad682,b84d7a39,91ea0f49,1d19b7ad,77ad75d)
+,S(222aac7d,c2fe0066,b766e1fd,179c1912,5f289e98,33cce93c,749afe38,ce0aa74a,bd6c4d8,43e5923,b5944e40,8d309733,dc0cd9c8,b266dd8c,2df162de,fde5bf5b)
+,S(28b14628,3a7e1785,1c9d1831,6c9ca17e,56a13c25,7877ca3f,49ab2369,ba2898f1,292856f9,572ecc,5f000e0b,1e7ebdc2,3ec72619,3c97542e,8ccb10cf,d608eac7)
+,S(5031a6da,df8d12ff,9eb19209,b844b008,dcc26de,c4a6f9f1,bbaa45c9,daf909a6,ef31dc6e,3cb5c39c,64011c0c,89cddb04,7ef9a881,a0d718b,5057bdfa,3f5e1ffa)
+,S(925835ee,ce55e98f,130008fd,a6f01768,aee2de4a,f96f239a,430d408d,95a627c3,cac1b7d7,60362e24,f3b5f277,e370ba70,f0f8c6dc,a338c15c,46c5fb4d,f9f1bba7)
+,S(6b7253e6,9dd65781,8214fa04,67f59e92,a4671648,c465ea4,9c993bf3,de8d9e77,50a9cbd6,b429c3d7,32bc3b68,ec581327,1c2b0a4d,2d8587bc,7b26ee15,ee7e92bd)
+,S(f82d660d,cd5df408,714213aa,a7406a3c,868a8d05,1fe37689,baa6fbc3,effb3e33,affe0a1a,b7bf498c,83b331fa,f3e7b723,2a2dbc66,3b93da28,e12f0d56,260677a1)
+,S(990954a5,5342c5a8,db3fef46,da2b31ba,32b6d597,c67c8290,9329a90,c39845fc,d764f091,40891e20,a2130696,216049d0,b3eb1af5,7dcb9797,4c42abc,5298977b)
+,S(d6b8e341,f8bad7e6,ff434dce,fcae81a4,1946f237,e0467120,fd420,f3dafc0b,a8ba941e,81677d32,140666f3,55fc28fa,7233ec8f,8fd13703,214bdf8f,340c389d)
+,S(fabf5120,8632ee4c,81ad6d34,cc84de68,728197b0,fcf07971,326d4c04,7017b905,79c781e4,aa7dedda,4663b8db,7fff3cad,f9752cf7,ef2382e4,b0254489,7c6c04b2)
+,S(e62db266,d9b208b1,83016754,c871a8d7,4b6848de,e496ee7,e2c1447c,2029b0d5,ef7410f4,f44d7414,53b9c1c6,8e5689bf,37cfecf2,1602e95f,3fe053dd,aea24f77)
+,S(4bd90928,14753ea0,1025ea2b,86ae2310,5b581b48,98359481,d1b7d36e,d9c6e478,2f12e4b7,b825c858,5362afc0,d0029880,45fd638d,65f1865c,6ffb31ce,424baa50)
+,S(3e397cfb,cc5c9fa1,15519366,c6e814ec,4b0ed9a5,dd093321,219e4028,28126ed,31c352e4,d4bef7cd,8929d3f0,aeecf9b,1d577ef0,e8086a28,40d46966,c1165dd)
+,S(24bee951,54baf31c,f5322941,ffc01fda,9e89f80f,2662f5b4,edb751b6,5b372ee8,9568a4f3,a34ce5c9,8f591550,b75f2a84,be5cf67f,1fd7713c,c126f46e,1c3b6883)
+,S(d242bb09,e4c6cc42,a2bdcdc6,bad2a02,8e4bfa21,430acb16,3f0e8a70,2ad2f0d7,2eede9ec,799b9e5a,13c40c4e,4cf6dc0f,9640d472,2a78cc6c,d920b610,d070b913)
+,S(a57b5fd8,f50de3c5,98073cef,bc6fa56d,20dbacc0,72dbbf81,347bf0e8,7a36ebef,a99f123f,a45b1369,32394f8c,1f7ea2b3,563ca2ba,9c0da00d,b2c9c119,e6f20287)
+,S(82a43e2c,a533abf0,6aab1199,fdd20f9e,1616a79b,859c6467,ffca4b27,989da9e,19cd40f5,8c997e78,311e5ba0,c0b3328a,b845da97,91dc8ef,a6cf7e5d,efd51c6a)
+,S(95bf3b4d,b8ef8bab,16e00f5e,7dbe9907,b54c98f9,2331c4fe,688129a5,5cd021c9,2b4c46e5,b9d9f915,d5d020a3,3c63fe49,eeb32931,9373bf9b,e359c40a,19328c47)
+,S(791ea768,4d333125,893356ed,dd8ebe4b,3f98ae58,e25a2d1,67006a4b,5c05799,5f72cf68,7827ce2,6bebd598,539f6519,a50788c,9d093766,9c3b9c29,f52d5422)
+,S(85138ec5,a5d3f0a7,881ce23f,e34fbb80,fc3038e,bb7c2a24,ccfeb2ae,5ef07b74,8eb9e80d,8664b11b,d24753f2,bba612bf,c06bf9f2,a4bd061e,82ce9037,895b084d)
+,S(3b4c1149,1d98483,9ff33b31,39da0341,f430175a,d5800c80,37e35dfc,a68ec256,574d6475,e225aeea,dace647a,1489b2ea,873175ea,83cff3f2,fec684b3,fd2ad143)
+,S(2ea17f9c,6a028f58,396474bc,8c51b1e3,cb9ac0c6,7f73f533,a428281d,4101b04a,19d1f021,8b8cc0c1,bbfb8925,77087caf,ebed3409,69dc2281,3a1dd6eb,9d6c44a8)
+,S(67839592,2fcc7ffb,627486db,e1d98a45,25ee1338,5a98c01d,6b3b9f8d,f64c507a,e13ed82a,a1adf761,7cce3760,d049a72c,7572508a,5ecd0615,1bbb589f,17e10a7a)
+,S(54a0d2ed,39778fc1,237ab423,1e4384e6,4156c1a7,d5e999fb,2c92ba42,ef40ee68,3d879ff8,c25ed54d,df848e5c,49e3eeda,e8eccf33,afcb1c1f,67440810,8b3e979f)
+,S(263ff1ed,726d0ff3,8b47b398,c713455a,3030d499,3a77ffac,b9cde4a2,cd12f7f3,a5f3fb33,c739bc93,c442508b,ac70884f,d90c3699,34fd698d,bc27f7b0,ca48a0ac)
+,S(43b2fae4,a431beba,598b3ccf,caa1e034,91e7099f,c19508fb,8e693de6,dac9e3ac,3e43aac3,379c321a,5313b412,7cd00a1,bd8cd177,49c4240e,7cef1e97,22daf69c)
+,S(a73e77a8,5733a296,2da7fe71,f4c16166,cf0acdc8,2d5288e1,8cb9479a,2a31f362,12b393ee,e323fd52,e44a9ab4,3e19256a,f7a8c892,76e9e6c,9052f0c5,3ecbc031)
+,S(f007a9f2,bd3d0d4a,8cb9524e,a5aae499,6b2d0c1a,19aaa56d,4038a21c,6dabdd86,517a6a7b,3b75b68,bb04bdbd,d6f93414,c97b4b75,47b8fe22,c5828d6,7e979702)
+,S(bc64853f,111371d0,8381c082,c72d2528,823e18b9,99de4303,c85a5fb8,87250833,51e7dc7,23256176,62a9f6f2,70bde4c7,94020e61,9e8dd87f,3f266d99,71596146)
+,S(144dc699,a063c473,4b9bfd22,845317da,c4b55e92,a232b92f,965967b9,9c8e21df,a20a7982,7d57de38,85e573d1,6d22025b,648b9ed4,c656c48,bd6f4902,2b67c681)
+,S(834ed659,98d49650,c3f525a1,b34ec725,89d167f7,a3cc6e86,8e4cdce3,b2ba3179,6bc2b06,c97a108b,2abf4033,152065f5,24c1bf1a,e79adbd,b7eeec17,9e598cbd)
+,S(efce9278,6052c989,adc9595d,cd1500c9,8e93eaa,dafe2b87,2011bf55,3488b1a6,48ca33d4,cc89b486,c0930829,91f23147,d910f29c,c9d13787,7bebf55e,a3dc92ab)
+,S(5b150240,c3563354,39adc9fd,23e9f94c,369a6cf9,27f45bc0,f0110cc1,b7321f4c,629b62e3,1a85fb44,b448c7e8,e76ec423,b059c9a,c8144c64,9d77a4da,eb044aa0)
+,S(cec8cb02,3f166bd6,9fe04f66,8ef6e949,f4e3d26b,d748c30f,53a9b9f0,9ef3f9dd,997f9fdf,dee5cd89,352e6c38,760c4cd0,a7bb2696,94916567,ae60fc5f,39b908ca)
+,S(58427cc8,edc5e616,3726519c,7522980c,30443eef,7e72cdbf,b135ede1,f15c0890,d2fe9c00,7eeb0be0,8295e972,e69db2e6,a54193d3,ec9a3ea9,f2515e59,6e34e88)
+,S(a7d0a30c,1787b9f5,8ebff502,e4e38000,6bf896a,2feaefa4,4670dee,6030bee1,774eabaa,863fd4f1,63b3a16e,4c17078a,fd0a1761,b39ab05c,3c6b1d36,5e487592)
+,S(9d70eeed,55ed86a1,ba17e817,4c400cb8,ab0e5da7,b568ca81,60b585df,d1a84e74,f4c1fde7,f11b329e,f3c3e196,bd78a3ce,5387662b,859f99c7,d61f7962,2d01b5f2)
+,S(e0715fee,9639817b,8501de6d,6561e623,628de7ff,d0dbab5f,bf58ee4b,a365f684,e34ba5d,acb60318,c6ccc001,871800cd,98ba2c5d,529a42a2,fd145336,7b10c22c)
+,S(594612b2,4cb1912f,fb945465,1036bfb2,79be0bbd,e718ca26,973552b6,93d20143,d68338a0,d03fd0c5,e6c6e3dc,7070c78,72eef1c8,cc2154db,cbdad699,b594b142)
+,S(f4f41087,1dbd5394,5fde2583,b08ba65c,6729dc05,b32ec3ac,c8aadb72,a6c0d8,8e948ba3,853102b2,99f2f558,ffc66181,310bc676,4b82dd7e,85fd075d,70d92fbb)
+,S(efca7b38,69f2981c,406cfa40,2bbdd00f,15ba56cf,c6e9f66,9bdfa14e,aa9b1d21,458fd928,a07fa32f,d6a0ffd6,64a16b21,2bdad00f,a4534093,209b0c92,f507f9b9)
+,S(25b2384e,d9e09e70,8098971f,153ada48,f3f4a9ae,fb946225,77d213c1,e7b326cd,ef50fa0b,4cd30cdf,2667bb4f,7dff0287,df666dfe,7d5bdb9c,ab567af4,b77c7535)
+,S(ed12b20f,aa2ac5de,db62c17,2bc67cdc,f0534a33,6a32e26d,b325321b,81901268,9245a6b1,35df02d9,3db1224b,1a0a296b,a39f07ac,ce7ccee8,eda552b9,748eca9a)
+,S(5dfa472b,b84ada50,da3ede14,8bca4f0d,aa885d2c,61633336,b2a8a37c,76b200b0,f314a5d8,2d20fd30,ee237487,7a922a54,f4c10468,656a5432,974cc3db,c2c7fbb7)
+,S(a9e5c0d6,5b6d4b4d,b242d87f,57c805a0,5b7f243a,515c5d34,a037ddc6,afcc4470,d90fa599,de5fc8d9,87a42c57,f3bf9dac,d5b766a,fdfa07db,4c56c0d,3d71324f)
+,S(4e9ccc2,c0e3169e,e25a6701,a82e7f02,2663d3cf,585100c8,2c6b5da4,d8c42e8c,854aa160,d48d241d,f5bdd1da,2c74d1f9,a00fad7,effa29fa,5ecedc42,3ba43484)
+,S(2122c569,da05f145,48d42f9c,5ce3a96b,bbcb49fd,fc5b2dbe,1a7ab0ea,84aec76d,40796418,39879018,93bac618,8a7286a8,f8745709,58a40cd6,1202ac,dba5867b)
+,S(aa8cceb3,415df249,b5069899,75a853fd,eb409729,331b1807,ca2242e2,a75c6968,5362b581,fb676eb9,9f125fd,5f674be4,800d89f0,133a1363,f1cb30ec,1fa5b468)
+,S(beaea0f0,1fd8e442,50648032,530e41cd,7e3c8271,f4b83b4f,7493039b,b21013aa,e21f7d1,53e5d411,794fb472,47897cc6,a86396f6,3f6291bb,fe2f0f12,a263873f)
+,S(8eaa225e,63bb92b9,666bb318,22c166e0,3843ff47,482cec9a,69ff584e,d1a750a6,aa26b32,e69c5d94,19663e05,6c9f7a60,1274aec8,a839ff1b,b5a43c2e,136ffd64)
+,S(bcba926,40d8b4cf,8d73c0e3,7867f5dd,81eef91,70e904e0,15f05f3e,1bf6591c,8913cf87,e33aae4c,a16b1391,75d60106,ac7d05f4,a8f10db2,b0569a6d,ec121260)
+,S(2d03aaf,6828d0c5,9ffadaa7,5d1b7e95,b3c4a547,46faa5c7,c428fe45,1a9f3332,68468e2d,597e7534,37b3865b,3c968e4f,e3f6b1fa,996e6b4d,296a12c3,20e61cf2)
+,S(b39b4de5,be757b36,b1e88773,47cdaebf,11f8d6b8,ab59d780,fbaf2263,a823b5b9,1b609d2,de73faa,d613c4dc,6ac3c2e0,33d62b22,7ca3fcfe,4aca992f,eef90b0e)
+,S(eabf705f,b6996148,170b23,9fb8998e,df6214a2,cac27fe2,9c66a899,63d2f0f0,e1867fd2,98603f79,d17876f4,7aea4437,cb39ee7c,bdafbf0c,5452b024,86182d17)
+,S(a4ce885a,ebe9335c,6ef43c6f,395e1644,201f578a,4caa7f74,65c12542,27f1bc80,bde32eef,f7fdc498,1c50942c,efb38cf3,c3f1a8a7,5addfe7c,f11723e,f57d0c41)
+,S(db8ee69,b0e00ff7,6a094251,a53c61f2,e00dc65e,a11e00e5,553ae121,ea958361,24e7ba71,22742e09,728108ac,59c5f46,aba40d1d,c308edd2,9d494f39,d156b2d)
+,S(88a5b43a,d6cdc2b5,aa3d58db,9a9a2e1a,6d70afa,808efa87,1d7f3cbc,509cf064,88483c55,e5bc8717,8114605c,1febc726,e14345d4,4211b670,6b6185d8,ea6b7103)
+,S(e3cb24cd,2130716f,10a4d432,d4e59229,2e11a2f5,3190bffd,4f478da2,216b0051,df432db5,caabb417,f8252d37,dd23e117,38066c87,101cd934,73a2883a,1b7e8de0)
+,S(d9c88471,97f04254,731794ec,e29ba74,f1d72f19,8f424beb,8309e1ad,e09e1301,12037266,331f04b6,db4264df,ae6d934e,5f753828,35a646f5,cfa4ae8b,e6defdc1)
+,S(80bb740c,3510574d,10afa586,a6e541fe,b5368797,231d2a63,67d2890,8877dc58,24ff9389,bb268f42,b04f1702,f7b7c6c1,7194c7bc,c5f4f63,bbcd4ca8,ef476fca)
+,S(4b8b08fc,400d6fae,da05cb19,65c9c785,8f93452e,d1be8f29,28c83e6b,4d2b06a1,70a6612,2549ec2f,6cde4a4a,9ae8a528,1b05081f,8eefa8cc,1111271a,1beea7ae)
+,S(d2708078,4d19552b,13ec8473,1eafd2fb,bc0ae927,dd746a8c,be1dfced,d072ddc8,9362bac1,806dfc84,e736758f,22f1039d,57a5e44c,40586195,885abb78,f75d3355)
+,S(7345d1a2,7b9dc922,f51a0466,57721451,cea5b54f,6673a484,7a210b4c,339d1f18,293053e8,c180ee0e,d81bc4fd,658fcd5b,99bad329,9e62aedb,74867df2,3ac12d98)
+,S(3b3a6baf,b9003f37,ca27889b,a2be2a02,748ba52f,6c6dc719,afcacf2d,578b1e24,a9749973,c49ebecc,501f9b18,83056505,6c88c286,2747496b,951892c6,8a61ffcb)
+,S(b2d1a3e9,15b02709,1abb5ba7,206ad2c,5d07079f,8d4c7fae,3e6837be,34159226,90007202,78d4188e,b8efc45e,8306ab47,be1c6a16,d88284dd,fb627b1d,92959898)
+,S(298019e5,5de972ae,fd0b4c94,9a9d4eb,46689fa0,9b849947,bbe27805,4a3f4a5d,5b7a4298,be50ee99,363b5f9a,1ef103fe,4fec0034,fd8a2364,5cc76f8,ff804f0)
+,S(604f1e62,7f503661,5b55fe74,4540df91,67fe575,e0aafe13,8af68214,f1080eb0,2ade0355,b373ddce,2353669e,6af5575,cc6b01ae,58b2a581,2b63f36b,58effd5d)
+,S(ddcbadcf,63ffbfce,326db7e9,2df0d483,9a35df32,fc576070,9f2422f2,6e07b8be,7a3bf369,dc3a5ae0,c91cea62,1429ad45,76f7110,b654a1f0,edda9b57,3076306e)
+,S(160a19ff,10c8b334,7683b21a,880226da,81d536de,d9dcd357,d4f2283,18853837,91dd522c,f6d1d276,e88287a5,a37afefc,ba010111,82b93eee,1483cf56,e6cf5218)
+,S(bc1210ff,d75737ab,51300e3e,ea48a264,5f363793,1f4c6f95,e8507034,84834819,8acc70b,363e52ee,779e6342,ea7dcb7c,d7d09946,5b0eec60,e35ea360,e8baa7f4)
+,S(c2da24ff,f2c5419c,3d2ab241,e55cbfff,5f41b9ae,4efaa105,abcc173,a81fa1ec,3fed4d9a,4eabf3bf,6b913bd9,279761f1,4aa630c,e278d0d8,4bc82ac7,af77481)
+,S(73a495ab,b26d4be1,bd99935f,f5583f6c,f5c86d79,fc86a4ed,48f87f40,2f12259b,f4126c3b,3e9b8dc7,ead63ddb,5749fe5e,6cb0bb3e,3c85426b,950326ef,9092301a)
+,S(599baa65,fdf949f0,f54c44bd,ff605ef6,2f53d68a,f0e44bf8,274f0b73,ce251227,297ec5da,e3893363,617f5448,b13237a1,91fb5a20,e52ee897,a124daff,9f1eaa9c)
+,S(9a032a50,6786e1fb,bd9ecd25,243ea67d,57f9e4bf,d1083879,e309690c,fb07f253,a073c6cd,15445d6d,80c51af2,4e7f540d,f1b75fa0,89a4849a,ea14ea09,ededdb0a)
+,S(792160b3,eda1d493,48ea96d6,857d8631,ed1e198c,c7f185d6,b9d2c75,2b1cae63,d12d76d8,bd73a681,9bc581e,cdb84efa,dd143704,5554984f,8f1132c5,fe1bc32f)
+,S(8fc4cc45,9639aec0,2c337f16,589c09a7,e787dffb,69ba2907,37b6c465,db9f12d8,b2ce3c2,57ccb79a,b677a9d8,49ce1833,2a97fca7,28bf3e83,6dbefd23,5343571a)
+,S(fc06a9a,5857b2e6,df0c3be8,b5840946,ca77f690,4ba114be,44e760e,267eeda5,6662078e,f0de0e94,5a770654,b8281a74,f82168c4,49455250,136dadf6,87c5bd2a)
+,S(345da4f,e1e89eb,eb27b353,4352c5a8,32d3c9ee,456c01e4,657c2885,733b5f69,3db274c6,b89e7400,cec4e2a9,9995ece7,be8b98da,39a2fa48,bbec96a4,5c758be0)
+,S(309850db,36d8c2b4,610cf8f3,e1c12431,3931aebe,1a9d2099,cb3bc7b6,fbd8b0d8,edb3a9bc,f6417672,af9b1379,9bd8aab2,f953391b,27cdf167,320005d2,3fb3e4d1)
+,S(8a35d7fd,8c7c75f4,e22ba36d,d84533cb,f314a54a,2e17a43f,d250c941,5025b0aa,97ae015f,fe364a2b,6c12cc42,fe526eea,7250092f,79c40b94,ab7102c6,fde1fa5a)
+,S(982d9d66,dbe6b738,2cf2820f,c72ed491,d6a61add,f1eff091,de30fcb4,96ca4161,b4a7b42,2e9cd74b,10cde7a8,12b4d88,f3621324,acdcc911,b39d0952,3cb3b501)
+,S(1396bea9,57d47670,735ed20d,e2ecaf6b,afe7e067,5f2a0f65,6b3e719f,573cd1a2,cd77e7d5,a49d6cac,5e7871c4,58df45d8,821d77e,f3ad3db3,56989c1c,700cf484)
+,S(6857993,76774ed8,a08da47a,9323241,71d09fdc,964893d2,aa5e783c,b8030057,640c986e,befd426,8fbfb131,8133ca77,879ced3b,56ec251d,12d0a650,28bc9d3e)
+,S(801865ee,fecd50cf,4970e6ba,efeed453,769b3e14,c103db6b,2632e241,2405fb6c,b3d3f23c,8f75e475,8784016e,6ce1b91,8db76599,8c7c1aaf,af047282,ebd7a636)
+,S(f09220f7,27e57fd3,209eac13,1ed93f96,142c400d,b9bd708c,9e716686,20f1793f,8280375b,1b2f4915,cb82a72c,43c9fc6c,f3a7de5c,32762b69,43187a8f,13510eb)
+,S(1c814b69,6104f8e6,5a51b98c,e6b0c4f9,f26b5633,8ce24ee2,24a5aef2,967ab705,1cc2bbfc,61828277,90502c11,bcaa1f1c,b5e34891,a7c669f4,dbbb604b,df2e3135)
+,S(22fff436,de961dd2,a7ef38c2,f588aade,320d0721,55e6a42a,3201bc6b,c7d24a54,6f13476a,f48f9197,3845af18,ce68ba91,77a0d4f,a835acce,76814c81,f6aaef5a)
+,S(39da98ed,a85b2de3,c9bba6d4,1af633d5,5a392dac,b1d4fb9b,654fde5,a3343a65,29b89534,35045e6f,2ca41bfc,9e5c9ad2,55eee426,95f41744,b239659d,460fbdaf)
+,S(6fb84bb6,3be24203,6e067346,1a5c1fbf,7d89a0b0,c98ad2e2,25cc3ba2,191fbdc8,21a37f8f,e4f821bb,3886333,c554d6ea,cb8924f2,bfdd7ebb,339a8a92,ec9bf8a4)
+,S(29080a3b,7c1d33e1,13b70c4c,8388fd4f,59118a86,c4bf697d,25346368,8f60766b,745ea31c,e9731f68,89aaf5d8,1e7f686f,b345c9d7,3af728c6,7ac2b8d7,60ffecc9)
+,S(a54f7e6b,aaf05de6,77e7d98c,5385d9e9,57f68d2a,8e3c24bc,11b6435f,50cfd955,f7d61099,22ff9c98,ee79998a,597dac10,be885d5a,e7b53158,fb671e38,470b5c69)
+,S(7472bc8d,c109d56d,a5f150c0,bc41edce,7e378335,15e17267,62f50cce,e8845b2e,3c59290,820b997d,3c9109ac,7319048d,e37c5280,88e671fe,9cd85487,f03917fe)
+,S(6f4cbc32,ff1805da,6cf83c64,b0d0eefc,6bae76d0,586de80f,df2317b0,a4e68267,29e492e5,89bf6c68,17731a29,76577124,c9bc9e32,1856bba8,8a060bf1,6a6c9d9a)
+,S(1a93eff,b60cb865,8538cb27,d8c12490,483e6886,16320327,e2689591,c5413a12,d96609d9,251ea2b8,f150664f,efe6bf6f,a0634cda,b8846cc6,5f6c8a8e,97697c9a)
+,S(79b82e7b,bb23efda,cd79c0f0,87f2d0d0,e2d3db59,97696c73,e6e94ea,8cb72027,bf16f23,47e594ec,fd087189,48d531e9,8306b173,88546493,d620218,b25e3758)
+,S(a806c902,28fbc405,ef56057a,aee9993,ef177261,74d456fd,818126f2,5d93f986,fc49c640,7d9d26f2,f043a1b8,8a41bbc1,3ced6a93,bd669ddf,3186dab2,9eb7c5b7)
+,S(227d9094,69eab478,9da2fe7b,3cb618d8,d781e0a6,54892f86,92eccce2,f41e9a1,81cbb45e,adfe3fc1,de5975cc,f87f0a44,e9f106d7,19cfe796,f33b5c60,85de7691)
+,S(14f8dba6,4bb5aba,f7f58e8,1c9b0425,2c357f3f,fa8aeee9,fa4ac700,8c49e060,26b19dbc,52b913f3,b6aafb31,3de99445,b49d64ef,2503d28b,bf2f9e2f,4614609c)
+,S(f22646cd,553c5008,aa3c4cf9,f01a05e9,20cee021,4e9b0553,38a75c1f,23e5fe4e,52cdb77b,7502794,ac16003e,2f4e859d,ec3e68d8,c84a3365,a307ac80,53d3089e)
+,S(515de841,814df2fc,7cd43689,8780686e,f3bdbfff,83eed568,af19c75b,5ee93a2a,7395bd22,705a81a3,d62f3130,ad416db9,268961c7,facf81a4,44d2ed8f,e4df1282)
+,S(59f4aed0,38f07bd7,b2aa6600,ca6f15f2,d396310f,e4ffe212,4e6a89e7,3c7c4ed3,47a048be,5d6e45c2,4fa69329,86b86edb,b990eae2,f5dc6524,3eadc69f,43b2ed3a)
+,S(7492492a,d7f94293,4287c7e2,5f05203c,4c70b8f5,80d23b4d,4822d1ce,fa3450a1,19523158,2fa06da5,eb5368b0,f0b19971,1a1bdba7,50d1c6ab,80ca1b4a,d649eed6)
+,S(2e12d13d,464de937,372a69be,b90dac92,78977cd0,e7b954d9,30360d6e,a51cc3af,35a900c5,6c7cf352,8c4a5af1,56dbebaf,32d2a128,8a58e3a2,ddbcb539,bc3e3505)
+,S(ce4c4b4f,a52f06d1,11dce52c,402395e2,a6ffd186,dd8275b7,bd43e941,9f4699d7,957b994d,c5bcd5e0,179a67e7,94a40ac5,cfc074da,6d23d178,969fd8b9,2d9dc455)
+,S(c51f1cac,5814de82,f4bd5d2f,a8e4950c,38fe78bb,8d09bc5b,628ec13c,e3084592,721122a2,f63289c1,f8925ce,34d810a4,be52f7bc,9bfea232,47617f95,8db1cc95)
+,S(9fbaba14,8293f578,46c717c8,718a3a9b,9dc5df98,63ae10e8,9c3649a3,e26128b1,4917061f,ad964c4c,5d79780,7914b2f4,b6c3e730,3bd440b7,bc00f15d,bed2b497)
+,S(a4a9ed86,ed3a1dce,5423c1e,1bb5fb9d,fbc1ed41,66a4219e,bd343922,8542ea9d,fcf6821e,46386764,c61eec0,19b1a84f,6a8851d,89be0da7,9d2768af,6eba9d89)
+,S(a6fa3567,9a732aa7,b58582b1,5f3e95d1,f702ab16,5249e9e7,89a5a395,3858d1eb,3bd67e4e,c0dae02c,43d32cfb,d25a4b2a,75898bad,eb2986b5,6cf61825,ed2830ab)
+,S(3b3992be,8f7e1b1b,4d8f5710,6feb825d,568b176d,af0e41f5,9c2fd59f,f67d9b7b,ddf2751,ac17a413,2ffc5c08,3e8c7728,a74b0063,377228bb,a60cdb87,1b5db297)
+,S(e9ccb20a,8a279cef,2a15de57,e34f510a,f60ce397,3fa2ec2c,4558f166,7ad20201,b70a11bd,1b5414de,1b30035b,3dcd1dbf,17558bad,368c78c9,d5d9136,6592fa53)
+,S(98083dcb,1356be80,b324aa95,e38217f7,c437f421,5a7f3e98,ba803fd8,5cc04445,bc0d9ebf,ade6c640,d16b82b6,5328a2,d5ef2f8b,52aeadca,e406ae25,e9b756a1)
+,S(6a0f3b01,9e3b2a9d,453cc36d,275fae6a,b94aa14e,e0b4103d,137b1741,8b446ba3,ef30c9f8,46c54902,c10a4ee6,c5013b25,709e7109,fc004b6,e291b1bb,a021facb)
+,S(83a62b60,6a1c4d03,1a18473c,f2230088,1d767332,9513b7a9,4f402f18,3dd45640,b23888d9,98bb9c00,ea57c9b9,517080de,95e6491d,cba0d7a5,729ab99b,12a1246)
+,S(d2781bf,4b059449,75da8b83,cf82b43d,b5ee89fc,168186bf,74f22321,30678492,76fe1955,18e00974,6af44fb3,6e623f4b,fd0ae8b6,474e91c3,3ec364a3,91049d49)
+,S(e4445252,dc6acf3c,f7b3663d,7176d46b,efe95e40,3063d1a1,68fd5742,2795a986,cf7613dd,eb200aef,e665bcf5,a6dd7fe3,cab6ede3,877f6a28,22b6620d,1eecda68)
+,S(51f59cbe,68f523b5,b435633c,ce11c0fc,ed2129f3,5d392b2a,ef789044,722052f5,10403f8b,e7024887,3c4f0aa8,e4d0fe46,11f34268,178368e9,1eba8e4,d9b318fa)
+,S(7d1806b8,410ec629,77fc41c8,8c86ebcc,74da9a0f,c6b35c43,68d069a2,c8c974f4,efe8890f,5aab9bd,c2da2956,bc089b58,b67ffd79,957ce0dd,9a53da,b26d68b5)
+,S(add67544,8cb87ade,f8cfc3c1,85fbce12,e0d1525b,812fb5d0,2420481d,b22dde96,bb80527c,b22a3bf6,728ba305,bbff36ce,c6b44d68,9cf79ffb,93030460,8f461174)
+,S(ceb2968f,fcc7b751,f9b560bf,b08f40ec,ba1395fc,9a3f63f1,65a1be1,862c3dae,67727357,b2dc8d2a,47606c1e,ae61ce54,1d79ba49,4a5e310,e0435b,383cf088)
+,S(3a03b03a,1348cf01,afc60665,26b6fcbf,b3977ecd,7c17725c,a9f0c494,f31223d0,3e71c6e0,7da0635a,a2fadf5b,78c892c4,c95f794a,88594b72,183a9b2,4dcbe7a6)
+,S(42ac22a8,c708f2fa,559f9b9c,fc7ca705,4356d18a,95a69137,bb8b8b17,2b771aa,ef669b2,85ed6abb,477dc2f2,bf0517f3,794c371,9ba5b267,8f622eb4,aa4ce374)
+,S(b2ded9ee,ab06f1c4,19c5aad,5163e731,722c4923,818185c0,d99d6a8b,dc603a06,23bb4786,f84e6c75,e565a708,2600585c,e1fd60a2,b935bb4d,390d07ee,5e8646dc)
+,S(ea1faab0,bb0b6cd5,454e63a3,d1546747,cf9707c6,48e4837f,3fc6b6f,a2ccc5a8,8fddc23e,651ebf4d,89e54148,2043fc34,7c26b66c,b2ad2d80,1fd2fb7e,77d4058a)
+,S(487920c5,14ce0cf0,9d939ce5,81e13409,9fcad06d,3e6974f0,a3b5925,12cb3a86,db447217,8a92e9f8,65a1b022,3baf54fd,618a87a1,15887f02,11cddbe,986dc927)
+,S(6828652,aa506655,60349cdf,132ca8c8,9a6f9a1b,8baf6adf,64e10c12,9ef9217b,9615f563,20db2860,9062aca4,7a136e85,40ebab0,3f8b5f7f,93bf0369,aeee0cc4)
+,S(b66a66f1,9c94868b,3e45139c,ef9d7586,1a6d06db,72027814,83dbefbb,41157a94,5c0763d8,8aa90b2f,ee04eab9,fb96b280,5ed5f7e0,58c9805b,64fb17ae,9a0f224a)
+,S(5318b13d,a824dbec,eced642d,d742ca30,479874e,31c1013d,d770a0b3,c9ddcd9f,13093540,9b5d56cc,d5004948,3bb22009,4b7d5a5b,6d357bd,76b79117,458e60ef)
+,S(6bef6b9,555f29fe,b5277c48,863c990,8f1fe2c9,5b4b45fd,8c5eb482,3ef4964c,36c00eed,4281871,fc5e15d7,7acfe3c2,6793455b,9b3607dd,71f3e163,9790e3a2)
+,S(7972f783,4c010837,89b92a08,d21b8b8a,b6ff6ef7,92eabe32,fa1c92da,4c8dba6,2c3352f3,f458a538,f8228321,c1adf9d4,a2df9f8b,bd22675b,afbdf041,9538f1e3)
+,S(7f03f087,168dfd24,7a93e840,e68cd221,f02735d3,93d777ec,c9d2c9ff,7cb0228b,663dc741,fc8e98d0,7dece960,5b506b5d,a5f2af72,1b64480b,1dd3e7b5,a0ee7743)
+,S(d06ffe61,973be011,2f17bec,6f4dedda,9b9d310,4ed22ed7,d4c2f009,843d2c04,175f409c,edd739dc,5adea16a,187a951b,d42df4de,d1aabfae,d56f1ac5,26cda8f5)
+,S(9094c510,3a34209b,45f7062e,ec65c14b,72fa75f4,13999117,38cd7f6b,792119d9,da541e51,7211db66,272f8f8d,413e1717,13cf499f,6c9cd694,b98e53df,45e9d501)
+,S(22bb9cee,8a5b99fc,d7ac7d67,5e232183,3f71a72d,55248a3b,451699f4,9f151eba,841e7292,93a98297,ebf2e9a6,6d106325,265d91cf,f7e4c245,845e5a40,522b94a0)
+,S(b548dacc,944b013e,d50dfadd,fb84173f,d5829b2f,69a2242b,c152684e,7b8a3ecc,6c7b70fb,9ae39eaf,583939b1,1a1b8aad,673b18f2,7568d2e0,b2680b19,8c662a88)
+,S(34f46e0a,2281a617,f8ab78c3,86ed27d,f837f23e,e986dd20,bf705daa,1b0188d,4ce4df08,bbf1e735,6760e05c,6e5d3f3e,664fea9d,6e1a72d6,bad17bbf,a3c089d5)
+,S(3063ee2e,3834842b,84cce6d9,50ba5afa,1d645c5d,e0acdb00,a9cc4ce3,c266f649,b08247a,f79c2be1,a0e4e021,7c9ccfde,f76d1e46,65f3185e,8623aaf8,63bff9b6)
+,S(d7232b55,3740b2fd,464a919c,46168ef1,e09638e3,65117eea,979130aa,d40fc525,f842c256,38e84dbf,47d13fcb,1763a296,47b72908,1b522623,4e307dc0,1a402ded)
+,S(6025e82,e2ec643c,32b10e6f,62ef310a,11576957,96c10f8d,b099dd4e,1dd8cffa,1e5aeacc,cc5c5455,d542dc51,b12fa3d1,75061cc9,45931548,7467d09d,945e2596)
+,S(141d07cc,256c4d2d,44ddb7f2,ef720aa8,4bef767b,3597ba32,3b39915c,1d84f175,a842c439,9366b2a1,91e850df,333c9cd4,6c983158,cc57989c,588c305a,1144ead8)
+,S(ba4ad105,6ffde493,54d13149,31846519,86fee8b2,728917ec,bd1a0112,b986a90c,97ac53,f84e995d,92d14f0b,b156f47c,be5b6506,2a7f8b07,7e235da2,808029c2)
+,S(5a6ed894,bae212f3,eb44304d,98ffba1,4a944cde,ccd12517,5e52d767,5e0f801d,d8160707,d43053e1,e5806d7a,bc17563c,ffaf92da,ac51deee,55fcb9ef,715b08d5)
+,S(d82a95b6,56bd1abe,50933a3f,e291526,7b257807,c8cde42e,5f1648c7,f35c4f3b,748904dd,3157bb07,65f94c18,7528c74f,ac639a36,be18963b,676b9b37,83f54591)
+,S(df7c9de9,8e748188,74967340,34a76645,c1e55bed,3a90fc65,dfd9726d,a2bd3826,3bd77fe3,e4a4018f,3e256ca0,2bb5c8b1,b783b729,21ce329a,fff9caf6,b530b1fe)
+,S(d3ae1d68,4614c95b,51cc4af5,a9e8a05c,4ad7eb4a,ba4a65a8,9a151b96,d91bdb68,a24cad0c,ad0ba98a,860d6d74,aea57c3c,23780812,5fb2356b,b55f0bf2,95e25e67)
+,S(ca85c924,48a27be2,2b68c9f4,c9ab431a,b380ccec,2439c8b1,944c234c,bd865758,c53177d7,6b16e0a4,389e1e32,7072d460,90e92f48,22043bea,924fab46,4023038c)
+,S(34309aa3,4e9fda0d,f2c20da2,3e8f8f31,eebea096,1e769c92,6c4251bd,5440bb04,f655cca9,d5811164,577d0525,2f5605d1,b4e2b6d4,dd5540be,aefed4ae,84caf3e6)
+,S(40212a4a,b2bfcac9,62442617,8a807655,185d2929,7e26c437,4879903b,41307b3e,26624605,6ceb4509,b481df00,79e25f1c,4dfea60e,a3768e8a,462ac273,8166dfea)
+,S(2e441425,d121e140,5d2118b9,7a3b305a,fcf62e91,4f24bb72,46e92aeb,1ebdd152,c3c7a567,51dfd709,9535d07,23778131,692dfdb1,7584d9c0,c8fed42e,5eb662f5)
+,S(31539912,9e59668b,49d9b8bd,5ee66b2f,aa727ff4,96f457f4,33400a20,b5242b5d,5e90a20f,a700c59c,fb0ca2cc,ae3f2837,6dde44c0,3cf6af64,365e4cd3,b4e6b3b4)
+,S(3b586e2c,30eb1959,bd5171ad,54b81c36,cda6b0ec,b5e77b41,a7b5b0d3,e1ed4ba,6782aac,d675436c,d969f413,c471edf8,ff7d89a,d0a07575,16bb695b,19ef40fc)
+,S(f4299c9e,b3453201,375b972f,fa39f01d,90c68625,a63c9d06,513fc9c,8c623fc3,cbd0e2a5,f9b9ebd3,f482a5bb,c5c17894,d5c320e0,28744292,31c94fe5,55ecf68e)
+,S(96d35f35,eee50b32,32371acd,99d6db8e,d2b7c4df,1f62b867,5559543b,785503d2,c0e8bce8,8bee1e02,29a5d2ac,113c9f2a,feff0260,869ecde0,7cdb1cd6,3ba5f73f)
+,S(ad3036ec,e2bcae0d,1fc34680,be2d293f,b40d9133,905af375,1ff89c49,2c183e1f,2c0773d4,bd30833d,24222f89,3a4f5e8,cd6abe06,63d66d63,2d5fb832,4c260f9a)
+,S(a0f340da,909f04df,70a33195,1c48901f,6353f4d0,4d22f99b,3763f567,be9d207f,caa1d9de,46a37b8d,623a39a8,6792475c,bf3bd694,597351ac,515ecc8b,1a4fe78b)
+,S(2adc4874,af0b3cfc,675421b9,5369ff0f,950b55d1,331aeee3,dcd0adf3,859be4d,6ad9fd3f,a840d02e,ddc01fa0,ffa61bf9,4dc1db4c,ec733976,bf1c6e41,bdd92b79)
+,S(b9222a37,c14456a1,cf931410,d96cd84f,a304b9f8,5a96edd7,6e67f928,43536175,4002a875,dfc4cda7,4ff7145e,ca46aab8,8cfc5ed4,53b34eeb,1e5dd859,4793e3d3)
+,S(530bae23,c3796fbf,76f86f6a,d8b59b80,801328b7,6c46e8f1,cba6398b,270919f8,d4d3b34c,6701f07,bc47d1d9,fb868fc2,b46ff397,2086cbc0,517e29d7,38a7964c)
+,S(a7f2ce51,5b932506,c740e84,40f254d0,e0da57bf,4d9199f6,acfa3664,ec36b823,4946fc41,3ef1b3f1,86a2c781,6c05ce7f,803fc7de,a00fbc2e,7e6c4688,fcddadae)
+,S(8ff613d1,1c81c4c9,fda3860,cbaa71f8,eab9ac3,d9263f31,55317949,d6ac1d53,54f683d1,fd382305,b2193554,bd3a6d2f,bfbb99b7,5d9c3e1b,876c3b52,e2bdef49)
+,S(6fb3bc81,5ef3d8a0,d7aa1a69,dccbdfb6,3f7a58c4,7a12f98d,b09cc105,4306422d,798fe7ac,f9fc71ad,7023a8e2,c9376161,8fa632cb,ec607109,d28a63a3,9a4228f9)
+,S(c32aa38e,bf0ec0ac,61bbea0d,d2c633c0,bd49ddae,d77179c7,e0098c8f,4488da8,e01f5fa5,1107cf4c,f4c1c5,78c3b5f3,a1baa059,90bb8913,9e2abb30,2e9e5042)
+,S(ef5e1efb,d1ede40a,810434ae,833a4681,5f9021f9,41ef1d82,fb8c1399,16c4933a,94a9cd1,5f160c1f,4f85ec8,16fd1834,9cf19f8e,96ac9247,695ca37a,dbad6ef9)
+,S(8e3aacf5,33de35e,4f923b36,c378ea57,7a5aa477,70ea6390,f92c73d,50fbfed2,49cd7650,ff69ed12,b96ac3b1,420784,7677497,b731e0ce,316eed65,7e40e014)
+,S(84521790,204c64cb,e026152f,474b0da2,25703d93,25943821,7d66f20e,3ae0d06b,c1da2f7e,438fbc82,57f7fe4c,7e49b73a,446a19ae,775e7f1d,20c8fa31,edc3bd20)
+,S(604cd900,97fe538d,b27cc2cf,a2d6c79,692f2e2b,c1b1b23d,1f0eb949,df560697,914d5288,29765538,d77f8e04,182c50f,d2d9aecb,2412ce47,4888d666,46b2258d)
+,S(c13a44bc,9a27e241,5531b8a0,5570e66e,6763b3bf,a80e00bf,59d6124f,b3d67858,71557bf0,4c261c2b,19196d0e,9e459f3a,f629cc19,84f411,31835400,3a60563)
+,S(14f3399d,5204b654,23d9318e,4adf3af9,dc43099,eb43b719,eb4644a4,897ffbff,13808cff,4c096655,72329034,d489433d,976cc011,d1a30ced,702ba4e9,5892422f)
+,S(bd84d712,43dea7fe,f151b207,5d03d2ee,170488ab,4175965b,128411f3,f592a36d,57a1c602,408fee75,ea9e683f,43d7a984,bf03d66a,37513c50,5cbec6c6,6d286fc0)
+,S(f319d4a9,b5f2c1ed,6619ae06,e5aaabe4,13a2a6c,265283fe,4a51c7ca,6c49b572,bd9d90c2,2a369a03,1856ca9c,86426171,db952537,edbb1ba8,93fd16ea,35aa43b2)
+,S(9649689a,424ec9f5,aa4cf4c8,45588046,c50eaf9f,700d0412,83e02640,9a80c61b,5cba8567,95b0440a,53e0d1c6,ad560364,c398dda9,d2e97a1f,e594355e,1402fa33)
+,S(45fe12f5,a340034f,381764b0,adf503b3,8026374,70eb26e9,6f4181e2,68cb1c38,ab7715c4,52e5581b,ed940fde,355892f2,b8a16a3d,d322123c,14a57a23,72f244c1)
+,S(98bcd24c,3222401a,a4683213,5a378790,6c9812ee,989b8f52,fa522c6,d39adcc7,14c7cd38,7bb5191c,f49bbe41,52af8b03,7135a6a,bc7e4697,35a72a38,e44433a4)
+,S(6dc56512,7be34196,a7653057,f79b854,83c275ab,65c05c2e,83663da5,31d7d652,a6839fcc,ba7db053,affaf5a9,4c95676f,9d65eba3,c2474472,cadbde17,2ad3692b)
+,S(7a7f66de,b04492d1,fd2fb9aa,dbc4ea7b,ae5a3801,47b86e68,60513a57,eb6b10f,fffe4f2,b722f36f,1e555671,90d84d9a,39b819e,fb7a3436,29b83adf,f6045f05)
+,S(aaf9f188,3865e2f7,eb500794,3888b4ec,9013371,f7162947,2cf52adb,bb5288b,df634c19,e7496b4b,478bc10c,7c00ac8a,5fc24dc6,4f193355,f0fa9c62,d6048243)
+,S(6304b1d7,56988ca,25afb747,476acbad,2e5afa5c,86136090,c86a82a0,e52b373,91a2d829,2357463b,ea1a7cb,33d79be5,8bd71732,f1d2cc13,ba4b2724,6fd39f05)
+,S(6eb17147,2aad3d80,bf4e06af,a36e37ee,5fed9c18,bbaa1c4f,5cd871dd,c526515b,6afd615a,e2512fa,70c9670f,b56682d0,f304a0c,6a23d1ab,fe958a7c,2a4173fe)
+,S(9113b613,ba815ca6,43e7bf66,27dd71d9,8c2d40ea,5c00f596,6216ca9d,d32b1ce,8790dac5,bce4100b,8e4e5135,66a104ac,b55d3ca4,3d6ea083,d23716d3,3894de2d)
+,S(5c7af38b,8821169e,2f7e2edf,18b3b73a,c387e6f6,a8ef1cdb,441f5a13,284f365,e12619ea,e2a07b8b,c55dda85,6cd37927,d448cf2a,f4028459,2e371e10,8e91358b)
+,S(becf19e9,23fa7b4,1cca0efd,937a5b11,e227fd18,22743fff,80c42692,6631ff0,3213c209,9f255eee,93323d1f,b440cbb7,64e86f1a,4021b82c,485517b0,3440ed4a)
+,S(f22954be,430be6ab,34dfbf92,264c2406,df3a0a7,19ed45a4,d09cb161,4abb0c91,a60397e3,ef3308a8,12527744,311673b,c18bc43f,352dba00,4dcd4124,7b84846b)
+,S(c50ae8c7,61776e62,5156f9fe,7d863c36,79d43126,c5f3fee7,5b837a38,1803e770,be966bf5,99b67e6c,ffc421a5,e6d12e4b,cbde12,4d84eadd,781ea562,aac7dab8)
+,S(c6c3a65f,e849c113,748e9b6b,c9a9419c,1a919503,36201a6d,f989bc5f,fa07d359,fc205b83,b4764ded,ef58082,11eef120,4d9fa959,4d5b7086,c2fa2c9c,3e56f37c)
+,S(73466c27,8d5f13ad,dc7da10c,b8855c23,9069f57b,6ec5e80c,e27191aa,196d9b1a,7e7e2cfb,533cfe9b,24243cd6,7680ade2,35abddc3,d8d00faa,c8adae39,15ddf6a1)
+,S(6315ac10,35eaf884,8919bb56,759f7013,92fe442c,771a42dd,dab88ab0,2fb0df2d,a49d2c97,6e0e66b4,50e8511f,d91f0f71,a7516fcb,70ca61a0,98f135ed,8e19396e)
+,S(fa195146,fdb7ddbc,41daa8c5,98e1f811,36c33eb3,bf23dfc2,3f20b36,1c8e7bca,324fc70b,38677dd4,c8e7bd82,4b836d0e,738dd757,ca408ff1,95bdd5d2,bcb5cef2)
+,S(ac40bc48,87734bd,51247e91,43e5e188,e5e2bfa4,2e3c0392,f39755f7,3952bcad,75904ebf,603c2f07,4eef9435,eb22c663,1279afad,94d3bbca,d5349881,7dc4a472)
+,S(15b7e1ef,d2c41c6d,416b6dd2,5f6612f0,a0acb0c4,1b161b4b,c40c5ad2,a92604f6,a13da672,17501833,4c4057d8,85be8fb1,ceb6d369,6979b805,83fc0a37,bc27a0a3)
+,S(adf4aea6,6fff705d,5bff3c84,93e8870,4ba4019f,ed550cc5,c203439,ff8512b3,53ad2122,30528e1f,4fee43c9,2369dca4,3d071177,3ccfff26,aa16a502,6206a3d1)
+,S(da0d5286,fc261d92,1095e1cf,f67e729b,501f21b9,45e8d84f,ba2c80ff,335d105c,5632ce7a,e8d9ce7d,aac7cf26,2ef7bd27,418613c,b288e793,35a0a638,6abd83f9)
+,S(463fd081,daf02794,18b95a48,bcb8dfef,3a9dc67c,2237d2e5,dded1522,f714d6d6,3de4cc76,7126750e,4038fb43,bf6af17,63ebc0b2,ef56ba8c,a376b815,6b4f28b0)
+,S(15e37b9f,58ce033c,2f0ad85,d49f8207,2e2547c7,91c7ec52,a8606974,2badb586,38816873,5e37c957,c18ad56a,e7ab81ca,8fd89a2d,1710f032,54393ae,a046490d)
+,S(2e121b79,765d4f4e,8e7aa8df,5c70e4b3,716b976e,9e4536c0,dbb3b5ae,4044a345,d7ba59fa,97a7d6b3,8b70ecea,312cb01,f9016b33,c160d1e8,d33fdf50,ffcbc928)
+,S(8d4c7aa3,c59dede0,bc146b10,38f8f823,8182c4a7,1cde0d8,e17005e8,64ad29db,78aa343a,28a48f90,edd7fb31,849d6d3e,fdb4c677,73cb523f,82c0b187,2c17f44e)
+,S(1ae12a1a,19a5d1,3b2f42c,35a385,f8302721,86a67801,c22818f6,94438c58,5cb421bd,990ddad8,16de9439,87bd96e7,e1ddfc5a,8d0f86f7,b30e3483,897815d3)
+,S(7a6f584c,d48be9eb,a7b73377,8a173d5e,3833aed3,a603a226,741ae1f3,a1c21bbc,5995b840,bcb6cc28,b83d048,9faa5dbb,c6a93190,46b11b13,59827266,d177d27c)
+,S(2dc5ccb4,8f78db2,3f0933f0,ef67bea0,53c7f2a6,80788bad,b71526a4,f55fe758,9e4743f9,ddb46206,a5449942,71743b44,713522f5,f358ab47,34c9afcd,f528736a)
+,S(f7a5219c,75dc4426,4322bda0,3b603127,26a6b3aa,c471f42,a33072b4,a44fc9bb,9e1feda5,5da277d5,cb18381a,4471939b,a12c692a,a40ab965,fd03949c,d8124ab3)
+,S(a1bc311a,e29e3926,5b3be1ba,23d7ffee,df0de8af,fba089c,fad797dd,8ba67c68,9abf66cf,109821c7,68c98164,b0598068,c4590d7e,b9ff4c53,594af6e8,e0ceee8d)
+,S(2c2ffba2,e3fee930,fe8d061,3bbb8290,22429fc6,654d5ed3,61eb8720,1d6b92c5,ed89f28a,bad9510b,acf44d05,5934cc64,ac7e94e,2dbc72c9,986e6cb0,acbe434c)
+,S(1d157e13,97f6b22c,3dbfe448,d1168b8a,bc963f86,bb3bda29,a8011f07,d2cb5ffc,bc7cfad1,e1633419,cef1c82c,d0249ee8,4c38b3f9,d628337b,aacf0449,4ca3c0b4)
+,S(1b9e9723,56f8a4c9,5e8d5fbc,8e2f2cc5,99c77d62,90b2fd44,2e63b3e6,dc33c772,59db6eef,988386fd,21e8a772,a1fe048f,95ba77a5,122253c0,1a52830a,bc12742d)
+,S(80460a3b,16fd9ba2,250b07fb,c77f2526,bec5488d,7d6c45ae,6f480308,39af48fb,bc7648a7,744347ad,e17da2e0,5cd1ce10,db704acd,26c81fbc,db251ff1,c6fdef10)
+,S(c6903a0d,d8c26c8c,cdb675b5,972aa050,6912813c,a6f0c8b0,2edfb792,491222e7,f4759b4e,9db7f1db,7c8a1c38,dfe76d86,c3778423,29280aec,12b1be06,d8e49ff5)
+,S(95ab78f3,a4268c8b,39aa645d,8c9fbfd5,b92469b0,809d6369,3d57d076,d305a241,8df4c8d0,ed85ac01,a965d580,78f36a5f,690aaa03,d9479d1,b2297a52,53e3c6)
+,S(bafa3ae4,40a4b8d0,40862a18,cca806fe,8cd0e780,483b396e,41543486,db91d9b0,d7bd60f0,c0ee0b8e,38aad85a,85a42ede,56c66d54,ee73d371,a3bb7cdc,e93df670)
+,S(7cbf5d9e,3bea6864,b87ae157,fee6e352,dc3a4f32,6e7cfc68,377fd199,a6dbb71b,42d082e7,5d55eb62,9771942e,3801c27a,fd80b502,a997ccc5,9f5a95f7,d7276999)
+,S(9108db63,751b8a9e,f4870524,f1198f9c,c4d3ec20,af54119d,6011f263,de13ca29,8c1d6c47,aa016e83,d2c8f76c,df0935b1,b6f909b5,bf5c90b,f4203493,22c711d2)
+,S(a705e7eb,c20ac4d7,43be660b,d61340c,9629d069,1b08ef01,a59e78e8,2d8b347,1ed8ec9,13ba19e0,851e1912,5854433a,f71b21d8,df64958c,afc5d7aa,cd29ccfd)
+,S(b75483e1,60144d46,78af9a3d,701c4ffc,fe154c49,fad45ece,3945289d,c3781c3,a4c0455,13cfa7fb,ba2931cf,722fc569,87b2c79b,c4b94313,5a458d34,5ee16d57)
+,S(c59aff26,bd4fdb9,37468989,763376f5,64abce,c00d54e3,45b6dc2d,9b7b76cc,c396c194,db446fb1,a22e86e1,8a37981e,d114e675,474bd24c,784daa96,91eb15b3)
+,S(2f6701c7,815ba7c6,37c4649d,d05a31d3,e909d8ba,931e7136,1e0662e,3ea19985,937eb67b,9262bbd5,12a21e90,393f9e65,66e03203,55c77afe,cb98d1f4,bd25e8c3)
+,S(170d1e33,f0862542,dc72b1b2,950ba98a,812cc308,74ecd0c9,23ce7c09,ed7cf9b3,5148ef39,68ff35f7,a633ba7,dab6cdaa,54dc6f87,510f1a7d,4d3019f0,c00bc868)
+,S(743b02d,b02301db,453f8694,cd517c6b,433f609c,e205cac,6f6a49b8,55890708,7af6350d,56130339,1a9ddce5,f566b9b2,9c10d535,d5183850,6c743124,8dcd707c)
+,S(ba6df8bc,f9d83988,4991c6fb,e0aa0ecb,d0b6cdc4,d0e372f,3ec83b51,da6a6570,7d27b176,3a01a8bd,fb7dbe0b,226dee6a,73ed3644,807ca33a,1f5fee61,cc161fcd)
+,S(d3b63a2c,364f01db,6a6f384b,4bba6c2f,2fa46a02,86090826,1c8b5045,4b92ca5f,df6b9cfe,fe7aa14,a38bc44b,8b627b6,e0ceeca7,1720d630,cc4fabf7,b020e2d2)
+,S(638c2b1e,374ff6b3,4b634f4c,bf363bbb,55d66c8c,af4d3fed,43cf436f,a1daa7f3,9854873,37b48f32,4feda3a1,f267dbe8,8831aedf,d7bd36c8,6cc8d862,857507d7)
+,S(1749ab4a,607d7864,5c4cbd30,4bc34c06,94a7a636,9c8c8f8c,be4602bd,16c4b4b8,465bff86,b459b842,dfae4df6,99be1758,8b1aca97,f9802827,d892792c,748ac92)
+,S(9071a5ff,ff23ae4e,2d81b2fe,d341bfa9,cb86ae6e,ed32870d,d549af20,a1db9feb,c0e3d4e8,277d099a,9801ddf3,3e513aa9,1761218a,967d530f,21d70894,ea7d38ab)
+,S(91bc0055,28e2d857,ac644954,242fe0c7,bbaadcf2,9119837e,898244e3,a305ba6b,6fb63758,3aefe600,46997b88,315d5a24,683ff955,94398694,be304dcd,8b588f67)
+,S(9663913d,48c865f6,312fe51b,6e8e7c6c,51ae397b,d141aaf2,df3d6ff5,edebbe68,c6251751,7e24d81d,b1da26a6,6627fbb3,28b5f818,6477b34,43f7c36a,918753bb)
+,S(e88e8702,7843b941,61c71887,9a0a9a90,cc0d6dd3,8329c73c,a18acca4,3f44ffc9,7e31ae63,1f9c927f,bd055f58,e682935a,3225e778,9221a062,f2826d86,97143a61)
+,S(5ad27e79,dee03a52,be771a9c,ded6a02a,58337f26,be810d1a,f8cc5ddc,f1eeb917,91c18e01,dbee34e9,a5302a7a,11bfa7fd,ac852e1b,e53aec2d,3138259b,bb53e6f6)
+,S(bb7f4694,f2935a5e,8711ae47,bccca550,cee2632,4347b468,58e40c74,49111ead,d9f94c14,332ad75a,59dc784b,d674e8c6,146a2b74,566ac1ef,b0ca17dd,9eec8d74)
+,S(ff77ae06,e0624cf5,f6d905ee,b0de7281,5377c026,3e01b6c4,a139e4ac,3304e82c,1f27acf9,933d08b6,f0892199,11805d14,1611a318,661e6e7c,75014b84,cc35c395)
+,S(84c15fb3,1b12d39e,ae59ce0d,f8646e9a,67c85492,8d6c498b,4b836be2,eb19a060,6aea0d78,d54090e3,2216c3ae,be0dd433,a666e67b,44cce0ec,1609804f,fde33f74)
+,S(9a48086a,8bb9b150,a6ccb966,3978f555,41db6d48,1b3d5266,e958cbd1,df9ee7ab,d8eb2109,13ee09e7,b5767661,13157905,b3cafed4,641903b6,da0ebc08,a0ce2f58)
+,S(db32ad19,45f4d9f7,eff1b8c6,b87c5545,1b0c74d9,8f1c4ffc,6ff1e79a,21ab3033,2d56e65,a70bd23,617f85f1,4a5d0e4d,52aa6a70,a8594158,36d02d87,309c7eef)
+,S(4de7f1aa,b9089f5c,b6d95b67,a04952b0,d4696cc7,6640e1da,f4bbf7d1,da985851,96f2cd33,5fd4b816,4499ddc5,5e81f5ea,c4db4399,17f2151a,f86d2ad1,e2b3612e)
+,S(74bcfa73,5aa43e8d,1fb540fc,9922362b,21878c09,666bf541,a0e739b9,dcbfd1c6,84b26fc2,8b2a05cf,a67947d4,99c1ffe8,f94ed4d4,6ba583b7,cf26ee81,ba60bca8)
+,S(9c596bcf,3d2e1df7,cd8d9807,8a1ab17b,f16e27d8,66cfb582,ef58498c,48ee0fc4,14dfc093,48f72d7d,af9e3599,8b5f18bd,5287f3f8,381308e0,63666028,dda9ac56)
+,S(8e2a0d3b,2786d67c,a15cd72,4f2cc6dc,16cddfc5,cf080ef8,d9576b2e,e5b0ff9b,2ec4853c,c83c72d2,68555129,ce30c836,50fb59b5,17a3d61d,56ac4273,1b33ad06)
+,S(25ec4838,5fee8fab,773498dd,85a23ec9,46c59839,14fb8a9f,d1239ea8,ade3f829,123bded6,5312030e,d4760047,1867aa4d,b7537239,b363b6cb,58ecff98,44986924)
+,S(a1cd9872,7551e2c5,db7985b5,1698b97a,31b90d3d,32fbe60d,34f8ec2e,398df76e,40858565,aef814bb,8bd91fe1,410f9556,3f1bd170,345c1283,b64fb268,4980c398)
+,S(bf7d3973,aae2cc31,e831390e,f2458e85,9ed6847,e9eefd6e,cf91e3d,4a4924ef,c2829fc4,2127b303,c801605f,35602b84,32357564,d9333ba8,d962d639,ef21a6aa)
+,S(5a5299ef,e0d394ef,f4b510ba,96dc73bf,6332d358,e276bddd,527ec290,b73e3313,9ccd4618,17e18104,d324e1e8,1597eba0,cb6b475f,4e5f2e02,9cfd2d63,b613de79)
+,S(90efd8cf,9e4b9d74,5cb36c13,20a8bb0d,b5cb8578,de49ea4b,c289043,e2ea810e,87a73339,aaceed7b,af47b5eb,97aca554,d80a4f78,d439ee14,4b2d0fb,f8df5e3a)
+,S(3a174294,4db7f2d7,2498e2fc,e2026d5c,f8600ed6,958db97c,24ac0de8,417f6def,e60c566f,f3fd14e2,2ff0cdee,45c4c2,31797951,7aa0ca68,af91a5,e41f5f60)
+,S(2213e0a1,3679040f,73e4d68c,bb941665,6ea83640,33abac76,2e64d509,48a97656,2b87ce0f,bec2728a,aae6586c,bc6d9a89,a4bb9b9a,211de522,cc909279,5860791c)
+,S(382412a1,ab396523,8b06c47b,e941051a,bef3b215,16efb280,3ff3a1c4,824954c6,7cae8b14,1938312f,ba482980,ab9073da,c66c1ca0,d746231e,8ba8f331,4cfd9cea)
+,S(3d76bfac,89c1269d,53b6ded6,bf13c785,361b1fa3,84be2ea0,d582ee43,f06de56a,18b1cdbf,96d12859,bf887b89,6d8f2e6c,a08b892c,688c7687,8294974d,af6d6284)
+,S(715b18a0,68d86cfd,41a20541,847b36a3,ed7814c1,b5528751,927042f9,85e7ab70,2b8e0228,b0a4d39b,85a3d3d4,f5a10db,c6825659,f4b967c,361da449,24890911)
+,S(a31a10ea,e38e6a00,ab4f004,8b45c8a3,e57856b0,d0b64e47,fa90e234,e17943f9,5d4b5150,7d3f3a82,87e5d51,6bb30b89,2cb9f540,96aa5962,1f77e028,480e594c)
+,S(b397f965,1dbbb6db,34708066,a1743511,d4a16332,95f53772,72c43a6d,6e21c1b0,673fd327,45bea2fa,748a759,30679b2,471e4004,423dc8b3,f34f95ea,f88d2b8d)
+,S(2e4b865b,c1245325,1ad8b3f6,e8776bd1,a5878b93,ec34f847,65af84fc,146d9919,b3e7d479,661ce034,50094432,c538f55f,c8be8693,73a91fd0,350c8089,ec0d76f)
+,S(9a38c790,7c0751e5,ba750bc3,485b4a4,72b661c3,63a3980e,feeaf59a,98533a43,dad7ac3b,65493036,d30068ca,72808000,d54b42d6,d263de93,a1ced3d8,fa82ca71)
+,S(5599d251,3b3c8337,f8af18ea,70d1d2e1,83f3e363,63735357,2b3f6cba,b4371d9b,7ccddd9e,ec8dd507,69f6f633,cc70488a,6a4e322a,2716218c,5de50fae,45398dfe)
+,S(610c472,4699e983,530e8a32,b60a8077,c7f60226,cc3b2010,e49b2e30,f2a98afd,42157de0,fe6d8e53,17a3f565,fa450f53,8755679,6d98c7a7,ba0b3e96,844d25d1)
+,S(89c082e1,1438e2b5,6a4bff8b,cadaf804,c9d11fa0,8f47bff5,39cd0741,76f24a59,f4dad4e6,19ccf814,e899d48a,904a88e0,6db6ab19,a2e06a7,b359db9d,cd0ad0ec)
+,S(bf810fed,48d1ec4f,77cf3732,ed10a44,df9e4540,2e1a1e1,6b29c82e,32537565,6657fd30,337e294,fa31d30b,409b426d,546a47cf,38cd23bd,75aafaa0,b527d66e)
+,S(3b1317b8,bb3c9c91,964ce369,19ea811b,90a8bd5d,ebadabc2,d4d1af3b,50fb3524,cfd5988a,78aa555b,595531f6,5fb0e3f1,e756c1db,626cf60b,4c1b17e6,caca603f)
+,S(88520439,61558d79,7b084143,783d9e03,791e6183,c932d1a4,17eed30e,bcec0bd1,271097c4,4c723ab1,c1d13e9,93b7b232,235957ef,f21a13b1,2b3d302a,ed46ba1)
+,S(6c420c30,343cf500,da0cc05a,c315d3c3,45ed8aa8,e0551bb0,32fbc512,732f34d7,fb3c0808,698d38f8,3310fe1c,15587cf7,137bef2f,666229b5,bc789dff,1b2f1111)
+,S(b12e21e0,e060fcf5,580d75ef,22e8a800,33e2c19,487d0660,615f7d51,ba00e430,3931d63c,a6e0da2b,295bd22a,4bbb27f5,fb52d89a,3c4ac36,795747e6,e74ce944)
+,S(4fb9da54,4da95655,c0de5654,f68c2820,a7884734,4bad6934,e671d56,e7bfe11d,16586701,9bc89b28,f5fdec40,78a2a51d,6e087ee4,29456cf3,d258b97c,209d44fb)
+,S(18f8f6ef,23bf75f7,a7811025,5babbeff,792109ca,5a550472,245552e4,35588e7a,e712abe6,3a374f25,fd4b18c8,4b1451fd,ea77692a,43c0e3b1,cf3469fc,7a9acd55)
+,S(d730d167,1bd36654,7188c07f,78d82ed5,6775d7ef,bd0967e6,1abddea7,7ed6073f,49c4bf3c,ad4e31df,d840045c,aa8be15e,43f90196,818e30f7,b379c74c,1d866553)
+,S(a915fb72,7d4c40ab,547c983c,24a4f019,1f5e89ce,7ab0636,e903aef7,592208a6,fdf28a3f,6557f27,5813ccf3,8d927f40,b910c5a9,ddc3c83,14a48eb1,6a5956be)
+,S(7abe8d85,bd95c580,cd9d532c,c1295f5a,ad5168d7,e3dcaf28,b19f5e76,95107157,694abe9b,9a6ed0d4,c3ac1db8,79b49038,6fe9d2f9,443647d1,91533fbf,aae3cc02)
+,S(93a83e8d,c80c7cd7,64dafff1,edd148b2,9c336de7,cf978b14,fbd35625,c965942c,91ea5775,db50bf9,a7e3f79b,77c7d5b2,deddfa08,a1d455e6,fa21e547,356c634f)
+,S(a334ed87,dfd2e1fd,699ce1f0,a09fe921,487f8321,6cdcf75d,fc8d7e5d,cbbd1af1,42a0874e,d148bd32,ba4324ae,eb0260cc,7f0d20f3,f43388,38904640,8f7ae7e0)
+,S(811597c1,f4129ac6,e150c231,bfd8e4b8,4ad441ff,2c698486,affd4ac4,c22bf8b5,5f7fb47e,11b476cd,acce1552,95ac000f,3acb3838,6ad3c6ac,191dc12b,d1e299dd)
+,S(cf754ed2,47c9eb9d,24f3129c,4b4cefd8,94b5e58b,832f158e,2e82911f,8177a59f,262cb605,2991777e,bd1ed5de,d2e7ce29,76dd73d1,ad4c9bf4,9fb5d8fc,fbe4a3d1)
+,S(290ec604,a6b4d816,ffe75715,419b0f33,452530dc,94f48883,b3982161,4592b229,4235db3d,df2e3f1,b61ac412,a90f543a,ddcd519,4f4a315e,d889b32c,ec8f76e9)
+,S(1f90b869,4bf9ffb5,7697ee72,29b7f20b,52b47997,35efd7f4,1e4b9102,51886858,dc3d7a68,abaf70b3,c84d533c,48ef38f6,9be7d26a,13c4e834,5a7bee29,c6d3c87a)
+,S(ea20b4c0,931087a3,44d5642f,6c018aea,2da5f189,a4d25968,96110281,88545ba4,f9adfa96,f945e745,88d2ab41,e32ef5a,76b370f3,f0362e57,129c3998,e32cedeb)
+,S(b8bb88c1,21948c01,3a61fbf9,bae86eda,28e9bb4c,6870b0f1,7109e5b7,c00cf4e1,90685129,8607d7ac,25bea5c6,1cc4feb4,4148e07d,2fc3fe7e,449773d4,8245019b)
+,S(2345a244,f2f411f6,ef091904,81eb9083,9128f7d8,67e8b910,124d1e44,d116c529,a8eaf530,c69b792,d6595967,4f23b9,b0e239bf,b69d05ea,466f9f5c,9bd5affb)
+,S(75aee824,38bb03a9,b9208cc9,b725f13a,1fee1aca,20ed129e,e5ecdd59,b92c89cc,fb6bc8a0,fe0f684,ce4cf153,2053312f,b97aa1e3,739fab8d,407db39a,737ee51b)
+,S(ca46d3eb,c981eb1,764867,c99cd7fc,c414bdf0,31b2c9a8,96829ebd,f31e2e36,46363355,862a64b,97541f7a,7fc5cf51,ecae168c,c6530db5,3a7f2394,2e87bb96)
+,S(4fc1d258,575c4830,bc7a03d7,6a259406,7d633e9a,da2c734f,45ce4d9f,99dbbe7d,cbdc616d,fed2bae2,9312c5bd,9e195bb,bfdeb2c8,d1aee5e8,cae8fa0a,4bd6baac)
+,S(4edae08,54365c27,f6ad83b3,8f68c7d3,f0a09c6c,153791d4,df98b5f2,3f0b9be,cdc8a485,8ac66847,c732a2c5,4be86af8,d6d637f3,e62c7802,dd71c7b9,2eb18223)
+,S(624dca60,16beeb28,c35bef5f,e97d320d,d725619c,3faa7ca5,ed79d491,72b12469,cc33b49a,6fd125cc,98d65a81,c0713cb6,2a7e687,276e7fb,641e2f76,52646c12)
+,S(6738d38e,760e50b0,6a18a9eb,b5e3676e,c38f3487,e34461bf,2e5d52c,5bbd6b4a,c3ce0343,9b9f624e,a92eecc9,860ff680,63a907d5,b57c43e,465ead5b,bef5e709)
+,S(bcb74527,10f178a9,eb48655e,3d373b56,8f02036c,e9ab826,4ab7cee8,52f7f9c0,4e928392,52ee05de,587c91d4,6eaf5e5,92ef41e1,5a2b5c2a,da9e4512,c25bb416)
+,S(3375c7ca,1b5fb4d1,1838ffa0,c21d7e03,de34ca5c,92bb4592,bb4598c4,2b490382,8c284e32,f016d186,875b87d3,3bf4271,4b9013c8,ea159634,b39b7365,7ea837de)
+,S(c347409b,336c0677,ee95de61,f93fad4,738268d5,6f31059d,380af075,60e496bf,37dfcc4c,c13bbfa,5df43c69,eda0c68c,42de70d6,ab64a9db,a4ed22f,1cec3fdb)
+,S(305ea4ad,ce72ff73,976544d7,a3deb346,452ce997,f280c3a6,106b7c9e,3b9bf5d6,bfc33cd4,ca178310,c4caba86,5b87477,77e9e572,4278f0f0,56b86a86,1f2e13ea)
+,S(8333f714,70e57841,312a33bb,4f1463df,d237651d,fec4e1a6,40c0ebe7,478c5a9f,d39b03d1,11657c2e,19ad78d,3e1208ef,f8505695,1bc67098,b891c42e,b427bcb7)
+,S(500af03f,eba3b646,a0690f0,74cac255,804c8f8a,c2aaa1f5,f5cee4e4,41913e7,5e67542e,8a8f0411,e9985a76,97ba626d,f0607f66,9f9c11da,826b47b1,a52cfa2a)
+,S(e440385,c16bc15,5023cab3,3e7a48e0,5e7e0c57,e0fe848f,26b146ab,237a3abc,dd8ac982,b627fc9d,7fd83c26,51805de3,d7369ef9,2e970664,8744badb,3db060aa)
+,S(83eef59b,b0a26fa6,60c94e45,c097bcfc,8622c37,cec46eb3,f9e93aab,d0fa6438,8b51311c,ff685570,d9aa7a66,5b47a3ee,b6bc05c0,a2709421,c73ef814,bc703723)
+,S(930cdc95,f723a7eb,d698c1f2,46692f39,e1add95e,f8cf84ca,171d4700,2a7d759c,ff161a2,31fc8964,5bb6dbb9,f595daf4,86cf01c1,944021ff,6ff793fc,2613bfbc)
+,S(4f7cb0a2,c83f3520,86085b19,a6e5ccc1,b0beb700,35637e6e,8a79fd78,337c2616,aa32192b,82831ed,a9412f4d,6ac6d148,f68ef492,5b438cca,12a73b37,b4a8fb74)
+,S(c7238fe3,17590be1,d8403ca1,3eacc6b1,71cccad7,e2e8f659,f11357ad,70590424,59079180,90bdc74d,aa06abf0,940519fd,d09f24b8,88c15cb,a632b814,fe8910fd)
+,S(c6afda17,e6582427,95cd34e3,edefb600,70c73737,2d99f6c,b2b8dd3c,99874880,d805463d,15d185e8,b4461293,b6e6f6fc,a0b58a49,eefd4d0,11ef48cd,da5a16a4)
+,S(4a14de26,ab18ebc3,414c6856,1a77d62a,221821f,8c216496,700bfbb8,21d95b2d,8037ef39,d1f190b1,a24078e3,e554ad1,cf86d5cd,f731478d,b34b6b5c,c9174314)
+,S(cbcd6696,547fc496,8c6e7ba5,4caa4a74,43764852,43f479e5,558e2be5,77bbad00,8e0099e8,559db5d,dba0bc72,21505ef,d42c1c95,876539ab,19dedb2e,8e561482)
+,S(37f168b6,4b41be85,46abd1a4,7a5ab3dd,5d690661,e41b16c3,87025106,caa4e2ae,8c617348,bce3bbf7,54a121b2,37342794,5d734e38,da08066,c4de59da,e60b5c89)
+,S(3aba7081,55dbb35e,dc4a3fd1,1db54446,a7501ea0,d67b0286,8d2e6d77,99162697,829502c4,2dd1105c,cb046e0d,41cd68b4,38437394,b93f17de,5534f014,270c4602)
+,S(84842bf5,fb46c697,44eca720,7b1be6b4,e5f5809e,eaeb3e9b,1058eca5,4498cafe,f4210fd5,b49f6484,2efe3089,327673d7,95642ad1,73b6840c,7323b7c4,16d61fb5)
+,S(88383dee,ee0db44b,959edd96,feec2bdc,73d6ab56,9333fb3c,d4b18b01,ed8af5e3,8f0cf362,7aba3ceb,104009f0,baf84ed1,f57402e,fc330f10,6e0b45d5,4e0626ed)
+,S(ad0a97ec,2197c5d7,4e8eb9bf,9798a24b,aa7c3e5f,ad6ac263,1acd5109,5178d8f9,72b352a7,445db832,2e33c93,5619e7d3,266f254,64a4c4f0,96051ebb,1e37065d)
+,S(9b727e4,d107418e,1f62b499,99c1f8ec,55ef6e91,a9a10ec6,8905be97,33903d85,27d6456f,5ea52aee,a190dc81,647ce31d,15ac8c36,de65685b,4784eaad,4a32e41c)
+,S(e86bbef3,8d740a44,7a2cb0d0,a89c2106,d85299f8,c38fa540,a7075efd,3a02fe03,8a9f75db,ecc532b6,ade5be9,b855a27e,185895ca,d6a6549c,f6c4c1c8,7e151b04)
+,S(b72ac468,9209207,2cb735e7,d424a18c,5ef097c9,3a9b96ef,1ab7e29,d0f379de,89111544,27b03712,e2236fcb,12cbad35,98ef794f,b8141913,aeb1ad8d,ed9e6467)
+,S(f8f5819b,203b2bfd,ab2dc532,53277103,2f9caf34,c53c7ec7,7253b314,2e731ff3,433fa831,3dab76fc,aad5bafb,12362126,6d8d7c09,9d513ee1,1b633c6e,e3f1e96e)
+,S(8e4a8890,a15da3a6,c14d2df7,d09f6157,d5dc95f7,4f9518de,8aecbc4d,c0ac62f2,c06063ce,1d3c2a24,2494a1cd,db381513,6200827b,78ed080e,3cd14f4,5e545acc)
+,S(b1f6dbe2,ad730748,f906d1d9,160996cb,f3f2450c,fa656856,e34f2481,40767081,ee6b2a03,3f3245da,76d01bc6,e61afcc6,94a9e64a,4f0256bc,62acb5a1,82e45ae2)
+,S(2139dedc,a8365bce,b9c49cfe,3834e4d4,27a46750,d6b0f0a3,4e7672d3,d12509b4,b20a9101,b63be2a5,28340f58,893e10d9,d3c63fc7,77b5c6e6,a9a67193,13725870)
+,S(da3aa585,85c00e41,87db0240,547ff665,376aebea,a24e5aa6,67d477f3,c4d3b914,92405390,d255ccfe,a6bc7dad,4fb1676b,c741e530,cebdaa3e,669bfabb,d1c4780a)
+,S(89c47de6,84e1eb9f,a5828e65,dd17a852,7226a75c,3d113102,97f5b8f6,5b67b210,970bc229,d60b00a7,c2354a70,37ec8569,ad615faf,ac77ddab,f5847a09,c1fa57ea)
+,S(48ea67ce,db716a95,6b6066f1,e5e9fc71,5994a4f6,f4e2cedc,bf0c09f,4f8c8fd1,513e45eb,159f9865,5ac821d0,e18f4e06,fa3cb8e0,9d45c3f1,8d3c3bfc,48ff3da)
+,S(c5ae6651,ded2c479,a3b6c9b2,44fa35f1,2eb1eaf3,fc78b529,42ffab7c,4e33a1cf,ae6ad807,435d4a9e,e8bedcb6,3bc804e7,e67e9418,6494bc8e,384b29e2,31af8cb2)
+,S(24e485b6,7c27af76,e18ed116,90c9dc90,73a0b80b,e93f5381,6669e2d,3c0175c9,fcb183d8,696805be,789d83fb,a197fd24,996d3542,b2f3eb5a,c207950d,f9c079b9)
+,S(3bb47a19,b1bdc527,a8fe262a,ecee2d7f,1e772627,e5cd5c70,eb2a8c39,f1977628,2d10cdb9,91fb5042,905f822b,68846390,a922da1a,7b7b313c,47edaa6,85217fa3)
+,S(7d4233a,cd50bad8,71e0587d,e10204f,6013a784,b65b6540,73307364,5f3078da,be85d3d,dca838a,1f35ca11,1333e943,fb498cdc,63258ac8,74bd6acf,2b934b77)
+,S(b5d0d791,b6685aee,2f599505,d01bd3,d41d5a1c,531ac7fc,e6c33b97,cb0ed264,47fbad30,413084aa,619d7bd6,62502cfb,9648e64b,e757d6eb,24fd5e2d,6b1629)
+,S(bd6178e5,b1c558ba,432a89a0,482585ca,40ea9922,7c94ce,23f5b081,d606c7f0,9cdc6bf9,d32b98cc,73bad7b8,c08914dd,b9a8c937,913eecca,fff72dae,fa1cddfd)
+,S(13ca834c,a5f41671,ce7f0978,a310420d,6a82fc38,fcbd997b,88a1e79a,66fb9375,ae32a0df,7f269c8a,744e409e,16ec3d8a,eaac151a,99bdd7e5,50287005,6f48f6a)
+,S(96322802,87add117,4040f802,ed5c71c8,5f924398,1ee78480,4f16e5f3,f0fecb6,2d07de71,cfda4b43,44baf838,7933a372,3d536411,7e4c0f84,2b402156,3f9b56b4)
+,S(961efbd2,ae687808,bbe275a2,cba1769d,4ca537a4,1046c5ab,ff269c1f,b9477ad1,9d22a10a,294666eb,5c816bf3,c4dc2c44,d7836202,e15bed89,e3d28822,8193251d)
+,S(4e7162a3,8926282,84ac4df5,88301fc8,5d91c869,2fb854a3,ffd34c47,7b216ee4,6e6dc88c,d91b9702,cb38cff,2d6a38e1,d512fb46,9d85f878,8510ed97,2704ba27)
+,S(6c1f707d,51b1d3f4,ab261d52,6d0106e4,3e0a5b1c,76a59868,62e9d97c,bc6e3e38,d2563843,5dc8b102,c8f4ee13,dc345f85,289cd499,9bcfbe20,1bf3dc7e,7dae1f74)
+,S(3ae98e6f,49d363fc,8416f965,4e57beeb,d37635fa,4e78d8eb,77caae69,f2201798,ffd95480,fcef0686,9ee781ef,cd2693f0,e6be2e27,f207411c,39a18465,4d2c3cae)
+,S(eaf94fc3,fae4eed6,35382e91,2cf963da,2bbbda8c,3197e522,e0054cf1,4cdcd5b8,a838a439,3d4bc0ee,a57e6235,5dacfd97,7d70afc9,16e61209,10d13fad,7c1c22ec)
+,S(7eb52e7f,bbf5b802,2fa6d66d,801c3632,2c195b6a,4eae4050,5295612a,a184e2c8,b4591e5c,c66521e1,b991f63f,456306ce,cb2e7568,5227788f,a2e9a75a,bd58b384)
+,S(d22b8dd1,6ff24603,5fda0ebc,77129644,a8469373,99b2c7a2,60d8e985,d4f2a215,7a9a092,e8473776,6718e2b3,9068e163,e06618b1,6d6bc046,b33e2d76,8649611f)
+,S(8f6eff05,f746f0e0,9b328ec6,2089e575,ca64175e,d950ae4b,c67a7ce0,83afa1b2,3681243f,ca51a6c5,7ac92100,f38df1fa,d1093fd6,ecd53231,bfc01fcd,89e38305)
+,S(ac9ba060,ff520335,9a4111f5,c8c536e8,e27a79d7,33528ef7,9da7b21,36243a07,2ba3cf76,3dfc0860,ff3333bc,e660ebb9,c4e5a988,909880d4,1ceb4219,89f23f77)
+,S(d6896830,62bec27c,815191b3,4addf36a,cee1cfe7,475d34d4,d83a83cc,6dce3992,9f038f46,529fb86,30b19b08,db11c630,70593570,70bc51b4,fc1ced24,f43fbd00)
+,S(e815019a,f6923eb7,cf963f2d,476db569,bb04cc7d,78a0bbf5,3b422ee1,caf43b70,984c16e6,593d8642,de871694,800ca14a,a103a61,20b91c17,4e06567e,2d731c95)
+,S(3670e86e,e9aaf036,40136ef7,3344152d,c792c8d5,a064c0eb,a511e14c,41d6f7b9,eac7dcca,e491cbb7,cd27a522,a7db96cc,7d300c35,7413433b,9bcd430e,152fcd33)
+,S(3d03f819,4802149c,c6428aad,851bd879,189c557d,cc9ab1ff,8e2e4cdf,f0723308,1f56ada,27f2c923,27ed2fe5,88d8736a,fb68259a,1d5b1c14,7f85669a,eaf47615)
+,S(bf2ac011,9e417837,d4815c9f,74351869,4395ae40,77429013,7aab32,980748c2,17a47bb9,6f7a3e7a,31b5a8ab,2adc9fe8,98fd94d2,9ea7c3b4,a5b6c5bc,9c367ac9)
+,S(c72eea14,ef09c0e6,85c22840,95e73e0b,6aafa64f,9410eb0c,97f6ad4f,64dea571,9a46c93d,256f67e4,1ccb609f,4ce94390,df9c91,38a9d2db,9b993456,13346031)
+,S(25463446,6da168cb,2d816bdc,3c9e3a43,7ca3463f,8c8a83f3,62704996,c1bb5b96,3d69cc73,6aca2a,cb97e1a3,cd57be14,243e458b,305df59b,3e3a67f9,fdc17b6e)
+,S(b40dbb03,7062dfd7,7151013e,7cb0a921,15096a04,c39f7e2e,66188aaa,368c49d2,34923fac,7b1a4570,e824c3c5,2edd775f,ecf93573,2198f801,8f617db6,474fb519)
+,S(23fba417,ff084b42,afddc4a5,c070305b,553ed7ce,1311e5d,4c1f7b2,772c9aeb,af4a342d,f9346ead,89b3caa6,6a3f187f,96f2b470,c0a26752,76e895cf,c5ca4adf)
+,S(2e7ecc9e,d4f21af3,a3118799,d1ab7e3,a30d011,edc53e33,93dfdc5,6e80927b,b3959fdc,f6c4876,36813bfd,e7e83b4d,7ee0f1c3,54e0491,f3195b4b,aee2df72)
+,S(1c68c34c,8aaa0f2c,7daa215a,961180af,3938599b,1324aec8,7a1b3841,710db2c3,d8d68179,71acb598,5cceec45,fc5a754e,e002d09d,4be45e8,ab6d2bdc,ad094b24)
+,S(fc0ff082,ca6708eb,9b9294b6,fabef142,2cddb5a3,611dffc6,f06c05e7,f1eeddea,6f67fbb2,df22611,e2f1e796,c67d6c3d,14b17f98,2b6e39a2,7bef257a,d6955b70)
+,S(fa683ae5,8dc85748,1a7ddedc,708865b9,267e9fe2,e485a243,1d005e47,64130548,4d9759ed,76326207,891a9649,3b4d2307,b9694fe2,c15e2327,a79dced,db8277e2)
+,S(3cfead76,5ef36c3,fa9903bf,6d43cdd2,46ee8fb3,3fa1d13e,42fe9818,6d299009,85a18ee1,da24ebc7,3dd87aa3,ca1e7565,8f868fec,50225e2c,d5b5480e,cc0ccd49)
+,S(487fdda7,364dacf6,2fcec7a3,fc2dfd27,c38079ef,d48f0220,85c62746,2c8ac658,1479200c,b06440a7,186a946f,83a137d5,7e5368b6,7ef8a66a,9540a131,e4bc9b8f)
+,S(f3e413ff,81c2ee72,74c079f3,451f41c4,bbe1e51,f7c3a1ca,513392bc,9edd487e,46544553,79a33a0b,13fe5904,504cce47,55d0e2e5,6c4163a5,14d5b902,906caf54)
+,S(d93692b0,53ad5194,b70b9be0,1dd80926,e2c93754,328b3eb7,bc85c45c,63e6258d,7221837b,3276bd2f,9ba0981d,883cd68d,97d2ce77,9dfa1073,d59b01e5,df311ec6)
+,S(e85af4c7,42fd5424,2964eb26,b531fd77,550d3b2,eb64bf39,e97de203,ffe2d28,8368322c,e40ffca8,49ff1a53,76cacb17,98fbf4c4,38f58690,54dcb642,f805b9f1)
+,S(9e4e35a2,d913a2e3,bc931c59,298ef6bb,3893b086,ee40c978,430d8436,49fce4ab,ccca94d7,d4bad95e,c15b19e7,9555579,d47cec60,9f42112d,3d992035,6d31f7be)
+,S(7d72793c,dcd78afe,23e8b000,41d67983,6528b1f2,6978e262,4d022416,7ac5e741,1189804a,2558ff1f,63a7ee1f,ad5f8ab7,50a412ff,a83a9783,996e5f26,637100fa)
+,S(3b8dd2bd,ca65d7de,6a7c55bb,47dd5ef1,5ce6f533,96ab335c,84c0c9a8,4e06a7da,2ac78cf3,e1baa981,b27dfc9f,e1b7cd2b,1ed4c37,f96af6e4,99bca1f7,de62aac)
+,S(128aa84b,3d920356,db64bc95,b52d4c8f,3054cf5b,22c6039d,1d21ea60,b2274c44,5a748932,6a98019,824a9d7e,cbea2de0,5ccbd9f5,a2cc5dd3,ee0b3dcd,a92e8758)
+,S(de8b04b2,c761b876,4c41c344,a3b57c41,fb62e6b4,ba25ab19,8fc2ded,2849e151,134ae148,d89de734,a222b656,b878fedc,886d5928,fc6bfab7,bdd0a74c,3753f1fb)
+,S(f643025f,9fc3824a,6ce70677,23475aa8,8df24d59,682f5a6c,b18b1c0d,5e297017,24eb7c8b,e3de50a7,cb473bd8,81db3515,8f9484f8,8574af66,a15f920d,3986a049)
+,S(ce2e5454,54324680,7035594b,1aabcf6d,5d8cad20,729a787a,7e01b61b,106fdf19,f3a2e5d6,745a16cb,3403a768,c1de8f73,cd26388c,c10f296f,f00cf9f5,209b1555)
+,S(bafd293,dd071a21,25a857c2,6acc5afb,ea79093d,3c9771c3,cd3b875e,b74b3280,2d56802f,b8f26950,4adb2a51,a91ad2f0,d1ee6501,f8c9279c,6a27b524,8dddbb70)
+,S(10e0909,5dc7ae30,9f1afbfe,1bcad71f,c66489ad,56256c3c,a648f554,c000f414,47a5a7cd,968dd158,e8436399,40c30179,3807713b,c09fb0d,83c6c851,c6b7029e)
+,S(73b8149b,4e7bf050,b6cd9f4,93c85bf7,61062329,2dec76a3,2d7054b0,c794da63,44cb915f,b6813c71,dff3830b,ebb6888b,76312778,897903f1,d9988c37,3c362bbb)
+,S(59a5dcce,9773617e,73c529da,6015ca40,bf923956,339a366b,84a69e23,d0a60fd4,4c62abdb,c4453ffa,2b806a6b,b823fbc1,59f57f23,2234c8da,a471192d,3081ee09)
+,S(1ad2aae4,f571c6ff,1abfd45,35b3d085,1aeabdbd,b3a340f6,7bef0f78,f7afa954,1c394b1c,94539758,85d72498,b36a3be5,56b4f80,8ef52977,b0157885,649549b5)
+,S(2403f66c,a6a7d60a,254b51e9,32cfb700,f37ad73d,193f25df,6024bd51,d0f337dc,9ad75d44,24517aff,7df86c,9bf4f315,cb40199d,4a2a5d5c,74044c4a,9c79d69f)
+,S(f3139f4b,50dba596,87080a7e,b19bcc34,2b58df9,26576bc7,dfdc8e7,4914c524,fbaad228,ab34e8d4,451cf6b3,a1dbe225,bd46bfc4,8a4bcd94,10c150fc,5636c687)
+,S(ec415f8a,81b1f559,714dd790,2441eb9b,c5c7bcbd,e87190c,c109ca04,a3e75149,9b90bd46,d27e0200,369fe995,3b50752f,d00b9472,fd31383a,f01bb88f,b223bc5b)
+,S(5e336f17,264a53e7,d0899bf8,6f676440,f83ea0c1,5d53fae4,f19a71f6,998a3ca2,2a86fd9a,8358daac,828d42e7,9c6c0fa5,bf977cfe,56899db3,27ea32fc,cdf09f3d)
+,S(98828ad8,a6ee9ca1,37f9ec2f,f0cac84f,5e664e09,68455773,3f8fbab3,ec38570d,ae7ba3cb,e617e9e1,6e67f34,f69af863,3e69c9ca,1f46b182,88126f16,9ec0e548)
+,S(d6a7c2b7,169348d5,1d98f0c,27464732,6f67ad5a,4809acb1,6b783fae,36808436,698cc098,ebe430c5,4dc74fe5,dc300f64,7ac0a002,4109e002,d2f43ffe,89fb3d9e)
+,S(9bf4a4ea,9fc4b731,5391b653,1d3ad3a0,f0fbaf59,b99f76aa,7807c442,f8e63bef,e69fbade,598fccf4,6f1f0931,f37f3c55,900dcc50,64e54ae4,191796fd,a4791068)
+,S(38a09628,aa450076,3826f384,7e63121c,d6e9e645,f6ee0f,8cffb106,508021d0,5460c8df,56fb7d67,992928c7,fd969f95,d29de37c,14c2c9a2,2d60d661,6cb7c383)
+,S(dcf8afd8,ee73bc87,c17c97c6,807fd3e6,a9c57a1b,cca058a1,ad24f2c2,6e9728b6,efee9612,3e78cfcf,1dc3132a,fa4ef492,12369710,fa2e8e99,3cc70b48,6ba78709)
+,S(9c26ca1b,f52eb7b3,a0d40dc,cf546591,38945c43,41e0c611,40d0662d,1033420f,4bfbeeaa,ece9f2e,e11cc672,24749c3d,e12be6d2,d3d21d90,ed742d,31541ec)
+,S(2209194a,6a3b76,1ddb2b1,3bca12f,3697248,4bec29e3,102d7734,9832ae6d,7dde1b85,cd00a08d,38035f68,fdef0576,c458476a,93eddfc7,4bd4927a,cbd64543)
+,S(6ffff27c,ce5efa3,a8f8af72,edcfc736,9874abf8,5d15e1f4,cc71a186,9a7a29f0,27a0e163,bcdea297,1abe52a8,a92fe191,38b839f4,67772c83,81504328,fad94a2e)
+,S(34e91b7e,e2c5f407,8a9d1ec4,7e2b2c02,1b8480b4,8c3b6e47,19cacc36,b4250382,8d60947a,42d88728,e0d67d2e,e9a0559b,55cf3887,92c733a7,3ed50b25,3706cb82)
+,S(3b2de979,9106333a,98504128,e2135e5d,7deae86c,1c921c58,529aff14,12fd62ff,4ba40985,8c5b594d,f4bf5e81,bd7eccc6,3a7bbbaf,fb32926e,9a47503e,f031d86a)
+,S(fbd44acd,9e593ac2,12fd1f64,c4e18d31,c3b3fffc,ae1c88c4,6aebaddd,ac608b2e,9f4feb5f,2ab68e29,ca64f458,d162dabc,7a05c552,2e38c4cb,74529e3e,41d805d6)
+,S(d21c3321,bb6ba2aa,dc0cd52b,be68716,864ce1f8,44107374,c0481c0d,91729b39,2b51f18,7b95725e,f74deb00,8e9d96f4,f1a9bbb5,c9aa28fb,275f700,bd964566)
+,S(ea2d29,f85855db,78808749,9ed79c2c,614406c3,adf64663,8756b60f,16166578,33971e79,39faeedf,15b14607,37fa7112,7d6f49aa,fc423f63,783e808d,1fd10369)
+,S(2a1a6709,301ba6ef,c5ad4958,e29fa73a,caea18e9,e01214a9,65291977,8bec874a,56c971a8,d29d6641,9c05fcc9,9b0c0156,a1ebd007,bcab2cec,b9e920fc,85f796b9)
+,S(aa870dd5,6434af8a,36d89551,a7109cac,c1d0c5d9,f5e43630,17bba88c,579cfb6e,d1fab1ea,cb5652f3,cd4d5836,82aa3cb,3b1b6854,c0ec1157,41486028,73625dd5)
+,S(e979a3bc,5165f53a,60042a1b,11e8062a,e74f35f2,d70aab2d,b250a4a6,f4507507,4de86928,b9dfb2d,8509a1c4,8efdfbd7,a5432933,e3f12789,cd51ed9b,b967ff1e)
+,S(620979cd,f37b1cc5,b1fe3e01,f761b8a2,ffc29bfe,8afb7cae,7ded5cd,37f97829,cc971616,6ad43824,4c6be489,7cac0b95,afe5ed6b,11be673f,d67f0d89,6d58f7d8)
+,S(90a5df7d,986198fa,70152c7f,e2abc14e,2c80d5e,6b75b42b,aa042e03,f3aa00b3,77e0ad,2f3e1eed,472a543c,3852925b,327e3eb7,aae59030,2d7e12a7,862201d5)
+,S(17802140,e10d8be8,ef210b69,b7fa1afc,16a85d9f,ea1150a6,c6e5e234,cf638446,af4982e7,fdcb7a8d,b6478b54,a5bd7cd7,c48d1dbd,2a3d003,7e87b6e,13c9f5f0)
+,S(1f2b8d3c,fe515cd2,53f66b0d,59fc51b1,4cf75ac5,d9c7b4e8,4c75d92b,f0380b8,6902b31,19f38b04,5b979f94,cc140481,d4e6f7ad,b3efe12c,4de1bfcb,c71be72a)
+,S(aee51eec,9e5dedb2,1619d114,5594ea7b,27e21a4b,37accccc,d5fe522d,2e46d29e,d40ef18,86725504,fca42c2c,b8b80dc2,c1028b71,1bf3fb18,9fdd579d,f7f0ff8a)
+,S(40fe6d08,b714ee12,a4d643b4,21b331c4,fbac165b,d7cd88fc,ce35a873,875bed7f,c32f1cd6,3083a976,6b7dd8ee,7133831e,6796709a,c67953d3,4ec5d8df,922d2743)
+,S(5425c555,8a6f9068,946f7075,db347e6f,cb6c723f,c5ff829f,1634fb2,13b3c820,c218eba,db4e3ad6,e41a28ba,129a0c1f,8626ae2a,16839b77,ba12257a,a6aa2318)
+,S(83663c0e,f024207e,16ba74c5,ca534d37,733a7dfb,b2d531bb,21a28243,d0572a00,2699a48b,dc9af87e,bf18c9a0,929359cc,d7f2f137,b84fc070,2bc3497f,69c83d45)
+,S(bf931d61,e72f217c,3b820b63,282f5d4a,c929134,efa06fff,88480f86,f6247535,82553f48,bc40dc42,cb8bb098,ecb84af6,5cb3956a,aae7bd0d,cfa9e181,de93c21a)
+,S(1c6e0876,3c2242ab,17e2885a,537bef4,e8920782,9c573d00,64fb83e4,910312c1,b7c14efb,bea753a7,5d8a597c,7f1a716f,8ae4298f,379aa64e,d070ab2c,28e66185)
+,S(9a2cf62f,9eb5810c,31b27614,1592f201,1eb158a,3d123610,99af0b77,7d42c0be,159ac59d,728d1c49,843a0207,e47d1cec,7b9b773a,9ddaad52,3ff27d78,d2767d7f)
+,S(3596950b,393a56e3,443c3b93,b4f8288a,7faa8d74,d26cab37,dd7a5b4f,6a9e183f,f99bbbdf,c566b3e4,e65dd63a,15c727a4,403cbe85,202e45f4,ea5d3462,173babb7)
+,S(6f556cb8,f5da812,24bbe628,6dc4e379,ec12b124,21cd95d8,6bb1d580,a13b5c37,eeee3133,1dc89e57,48fdf10a,1fc0693f,1c09aece,aa27dcbe,919d60f7,4748d656)
+,S(b952070f,fe60bf94,cb14bf68,b37e3e54,bd9b8063,ec8cd4d5,20408756,bd318bff,57996eae,d38f066e,cb3f8113,aab5e4f7,f322859e,1fc075cd,69ad1ce4,3fc48ff9)
+,S(dbecc166,8d94b2b4,8d37c133,26fffedc,3e690b76,87563677,23352ac,1eddc2a5,f124cd3c,e42f56d8,a7588145,e53931e0,ce8b79ca,ba5195f7,3dd861c9,9027823f)
+,S(12dde570,aae95b1c,7cbc2da1,ed2d936,bbfa5155,f61979b3,e67057d1,5fe5e1db,328711a9,c30e4455,e2716e60,3bedf4d9,8fa25d1b,e892ac72,b5be17c2,b25ca311)
+,S(64bb18aa,fbfb7def,3493c920,d2faf9c5,57856710,766b0bea,275db46f,f8271282,717c28ed,e9284844,49cd0db7,180cc5fa,20ba79d9,41c979bc,c0a8f274,3e2e2901)
+,S(a798f4c9,bb3ef48f,d2ba3df5,2b040611,d0d5532b,9134aa28,e21b5585,d2379ee7,91f903cc,a4628477,b208bdba,59ecd246,bc50be70,34620a44,b55e0e9c,214e563e)
+,S(7bfc5902,58f80000,82946c5f,a1a352aa,808fcc59,4bf2ed7f,bc6dad3d,8bab00ed,17b5dde0,3bf6a814,efbed180,3e5f1950,59499cc7,13e727d2,405e0748,2f912cd6)
+,S(23bda819,978c9a09,864a1c53,e0fed0d6,ddc18777,b614780a,1c6fe08e,c35a820f,aab57ee2,7d226f88,6e55b8a7,c4d7a245,7badf96c,9312906a,3efe2cfd,3292af5a)
+,S(8f649152,54696b2c,1804467b,e1619ba9,d37cd874,88db9418,1259d69e,135e1455,b05b39ff,241ac0c7,7e2fad78,da585b09,c98815e1,b368040,d493bbf1,3ab54ac1)
+,S(177ea3c9,e592ca96,e9e0ef4c,87cb00a1,cd51ccb5,1e1d5252,963cfd08,77f30331,57185496,db5e5971,24e55b14,1042ef30,99f206c4,67415318,ccbefdb3,b18cacff)
+,S(16042996,9ab25db9,e4ee4231,7497a607,360bb1fc,96e74d66,cd87cab4,44af2f36,1dfa3d9c,c3acaa95,1f7ad037,bea4c20f,c311a8d4,c2ce9cb0,bd30078e,b0ff64ce)
+,S(10210453,fae1b545,de76c4a1,4b6ea5b6,172ea157,1fa60696,25753231,2630e29b,ec8aa759,5708f292,72e2ebab,eed6bdaf,955b27a1,469758b8,44c2668c,42acf576)
+,S(659574c0,39345165,e35deee5,ab4c3b09,5b873ba1,fa14283d,6bced3f1,d562abc1,1a8b17c1,bbd83037,b20fc2ed,495b890e,526461c7,8f0b8d61,e94a35f1,bac9520a)
+,S(a8a00f02,174b4d3b,9ca825ba,88cb1ec4,4c188343,5478a00f,38025a5d,1e2cfe58,fdac00d9,55b6872a,62a36dd1,cf666423,b4dd6b4f,4558cca6,d931a1b1,1e42561f)
+,S(3ac8f67e,b4c2c3a8,2cd90fce,f612ec7e,7daa1072,6e4f8da3,57d9ab96,56e30414,15f71b5d,17dece22,a696fbf0,2e360226,bfaf685b,6575fb99,68fd52fe,7a21f9d1)
+,S(87c56593,9fc7bce5,650e57d9,37e77642,a1ef510b,dadd117d,2732d316,a4f2ce19,59908fd3,e2b646ea,210606ed,c790851b,4077142c,ec7733f8,613dce61,3431570b)
+,S(6531e4a7,f9cbc2f3,f0448bb7,f8250542,6cf5c7b9,d4a1ec6b,80098799,d5e43101,622a2201,f3c0f766,6e81be2f,22f1ea60,f4b45807,6800fae8,c353c283,b6ec3d7)
+,S(e2a5b419,cf421b15,859aac6c,9beaefe6,29293f39,3beada53,e1ae567d,9bb7cb34,3c20b681,578aef9b,138f852e,90f49526,6d30f3b1,6ea2d3,23dee943,1af4a5af)
+,S(d4e9df61,35cf81d2,21003bc6,e167b6c7,9e912c1c,2dcac775,f7d9d07d,6ffc7334,c8f54f41,513d7bde,3055c7f4,8436c812,898770da,754ed9ac,d6eaddfc,a80f6c21)
+,S(b83ec734,10a1989b,988e2bfb,a46a421e,dc3ce47,d549d838,8970102f,98a6943e,4e0274ef,ea2966c5,200dbca,d8090f78,98bc66ea,44164fdb,31507ad1,e7e5db5b)
+,S(ec57668e,12f0590b,e99a75c7,82c02ef9,88354f47,522c114d,bbdb9591,238d3eb,2b3c508e,81a3f696,389a5ec5,974a1bac,a572c042,69ad2709,25001215,c58ad7e)
+,S(5acca76e,7578cb86,8d5ba7f0,aadfcf40,5ca4cc52,d778712b,785764a1,2afa01bc,7b0df4a4,5e048fae,65a0683b,ea0185ff,f867a578,179c153,5fa93561,54138359)
+,S(bd563b91,6419f92c,43a7c2d,7042fa71,fd88e5e8,41115b5e,36a673cc,93de4e07,4ec5b773,b35a5579,b7c729fe,1cde3b32,ca34f97e,83b989b6,fe756597,3cbc840a)
+,S(a070b055,839d93be,2b4ca25c,a4a6b133,5ef7d09a,268bce7a,fb1406c6,42e71025,d3fe8577,1241be24,ed209e8e,b5b28ec6,e3a0bf52,27f36036,3a7325c7,5eeb6acb)
+,S(9c50323f,c758663,346c5863,84d5aef1,123b4338,eae00ec6,86aef2ed,e19b2f06,1dd9442c,cf588e6,6a3cebd7,bc68f2f,6f270d7b,bf01f088,a49a5ce6,da430229)
+,S(90fe8f78,166e3f6c,2d19bd0,685fa2d0,1f6bf06c,2ea220ba,cedb0f22,ac9c558f,826d63c1,60fe3875,9c5887c9,cabe8f93,905fa1a5,e87a8272,670cfaa,ffeeba13)
+,S(d2f44fa9,b704491e,69488c44,cc8ccd29,6addc630,2fc66900,1703afd9,a2a5d3b9,2de1d619,247636dd,ce1de2d9,75f14515,ec5807a8,c7c0cc4,5c7d03dc,fc19352b)
+,S(17f1ce71,9e3dfefa,106e95e6,62786729,e8ec2bf6,25421ede,ca71ca14,5782b23a,62b51d27,74f514cb,5452cd29,e3907a7b,b39a9b9e,400d78bb,f6cca78f,cfc1aec5)
+,S(5b1dcad4,5974f0ee,e99d7c23,83e48585,24428c94,daa956af,cd692c4d,5a63213f,6958ca48,f13e31aa,c52e531f,886da246,5ba713d4,748cf6e0,de16e0a0,366c33b4)
+,S(ad284e67,a0682585,f18be40f,e966b605,8cc787be,c265606d,12f202e9,31f3067,c86ce860,ac3c3955,28321cb2,508e4da5,abb4dcfd,2844b95b,ede54ce5,b17e45b9)
+,S(9ba71712,dee6f0a2,7352cfad,59f6c0ff,f133b1b1,37ecf884,a537b672,a4275c8c,b910f036,f906a419,21fd37d5,5e0273a5,332edf68,43dd8afa,43070542,b0849b40)
+,S(cfc757d5,171c9d6a,ed8b9123,a2b4a405,d8e869fe,e80aebd,75255454,ee6319a9,43dc370a,c2eb8fb4,4f78940e,b41d614c,ccf2cd7c,c4f324a7,92ba37bc,7e48144e)
+,S(b8288ec3,2e4a569,27df3e13,6e81498a,bc9a52af,80d74bd6,c85eead8,85e0c49d,a0d53c40,d2234ac2,df69605b,1422bd1e,4a1d77db,fb0d7269,13de63bc,a2f96078)
+,S(3808cddc,497c9065,cec574e1,3b82a10,fe2323f6,65a99df,1e724221,3eeb9a79,eb046225,eb6aeac9,5659f1fe,75dd910d,2932cab6,9b4b810a,d83e7681,e0c32907)
+,S(a1620bae,cc99c311,7b3889b4,7bca5d99,4ecfd67a,ad5a7461,646e55a5,19e46398,5cc4b5d2,edc5f7a8,54cc3054,1c7ec571,e06c59a,52bb5cf5,5882ec18,1b07c0fb)
+,S(f1d942b2,bff74aa7,1f9cb411,91ee85d,e6955802,4a4d46eb,53ac02d1,32fefa93,19a564a2,8352bc48,a8dcd932,50274bd6,496cf488,6e2ba390,3cf91631,453f57ad)
+,S(1a4e3836,a34db30,c47ed6d5,9ba6fb83,fcb7a5a,a0002ad7,1b93b154,a5fd566a,745e195f,d94900b0,aee3c5f8,7c6fc62e,fdddc18b,984900c4,20c77ba5,4141cff5)
+,S(af37075f,866d7aa5,9371a08c,1e7aaa5c,d23ee51f,54428fb6,84c09b27,93b432,b32e8869,fbe53ef5,4250e803,facc93ff,a100a84,becaec5f,872d0548,da4ae9ad)
+,S(88e39f4e,83a0d6ad,a1e01ac8,9021a7ea,fdd1f9de,740bc10a,4d572c46,fcee9330,a14f6881,bfaf691a,96249322,37522174,e8a17920,52da7bec,a6c77d4,5fb8a357)
+,S(8e406574,a46e56a4,dd4cf780,9a7ecfad,5a1f9225,cfc2fbdc,6b7bfc84,a5ce14fd,bdc6108e,d5616bc2,3ed52c5a,1314642e,a9272707,20f00be9,62e48945,3550f167)
+,S(aa31e1fc,118e00c9,8b8f561c,479c6427,8676356c,640304a8,3b687a34,8ad4a091,31c95ccc,2520c0db,7c7440ac,7e640be0,7a8ba4d9,c0020b1b,f31418fc,98d9eb17)
+,S(ef278702,becf4f15,ad43fb6d,d0114077,d9f8bdc3,ff4c78d4,d0a2a15,8fe160b,377dcf3a,774d6416,58bf108a,87201b9f,f28c70fd,449a77f3,966ff441,d89246e1)
+,S(d1903199,b9762761,fd02c4da,99fcc503,ac15332f,4be01b7f,a044c5c3,f848ebc7,662ca3d5,9ff2c5fe,a75ad64a,f7044a94,60abbc25,defd0a3,aa6b0e6f,2c7f4f3d)
+,S(682ffe36,6838fa12,827ae055,7e38c12a,bb571227,47643f26,9cb9f1bc,922b07ab,4531b021,2e8fad86,6f6f67fb,d8eac752,1a360968,f0f9792c,a4568a55,855924e5)
+,S(418fa3e0,b32be1f3,f06b96d9,728aeac3,3294ea8f,16f35139,76b30801,81d8e833,dc1608cb,68bb0480,859c9983,6baf9558,9451022e,b9966e0f,498245e0,2183ef80)
+,S(e3f7dd7c,f5898b7b,174cd809,5c7c0890,4188bce4,bd6487ab,e974d979,f7faec2d,5ed5ca26,77d3bce0,15a6cb51,9922a55e,9ac1adc0,61bb0774,503e79e8,204441ea)
+,S(810ecbe4,f43814f4,e658ce9,234d71b3,946556d7,2ba9c3f3,6fa04b,4dc25cf9,5fc57520,81397434,e395a752,560a8a76,252e6eea,b9ec067a,16befea4,1f1bf1ca)
+,S(6dc50f0d,7e9518ab,fa16bcdb,f43ecb2f,745d5ee4,7269225e,36811819,6542b7ff,dfd5e416,2d596f5,b44602c2,20a87cfb,77473aca,6dde260f,856b3295,527bb87c)
+,S(d39c9858,5ba2a859,a6fac25d,602c8e1,fb205a88,7aaf628f,5d1a210c,bc648fb5,6e92fc09,9df932e5,1bd0c6bd,5b6567f,61a1e8c3,93d69add,111e9320,661ad724)
+,S(d7fd8580,59c1a86f,1b81c05b,ee63bda6,8ca93c4e,5ec99e91,88d9c7f4,40dae0d6,ceb56f19,cb3e5b39,64a4c58b,5cbeddcb,c736f0a1,8a2f8f3f,f0758f24,525a8fda)
+,S(2e269d93,319a79d7,513e6f73,918638df,c4b1b7c,4c19ec83,b254d780,dc45fa87,650b6846,4e8537af,583cfc48,caaff61d,f31dc67d,5a48e0f8,5857d7c0,9bea1d70)
+,S(19f396b7,7147937e,bef30096,44b292,2a6e3c6,5b5c929,22b73118,7120224,4751cc23,4d49e926,651a9a29,c2a8a55a,f7e4b25d,9cb4bd2e,83530bdf,494b131d)
+,S(88f843b4,e3689ba0,264d6d4b,4d310afd,85de2ea1,6fbe7275,d33112c7,538a7c02,5dba8024,30d31ef1,412f2310,3ccc5951,66e903a,55bb2a35,8be1e715,27fe45eb)
+,S(b1301f5e,1474083b,3828ba5a,837efc44,21990da5,275f6b1e,bf773b52,5ef14a1b,f9fa0af5,b508ca7f,2345d06c,5bf1e5e4,907f2b19,3681837a,802259e7,7208864)
+,S(63bb3295,b57ac21c,4b96ae49,92b8f3c5,7c23743d,44ba348,195c5f58,d5360bb,f5e6a98,96683293,af6b9ded,f9f163ba,15b44017,120c61bc,c9e51758,f3ac793)
+,S(dac9f722,7d0c012e,e3e1ce88,a99cddeb,9a23979,14c1cf1b,915dd41b,8ce27687,85bd90b7,7f2917c,cf1ebd47,3bfe04df,386d37de,69893cc6,9e79ae89,2255a12b)
+,S(ef05aacc,a8082759,33719aa0,e0958f6e,4be6a6c2,3458f243,f84fb2df,9aa422f0,d6006b80,bf611afd,3f1ed523,988b3e8f,d44be73d,565ef30d,911e4226,ae546f23)
+,S(dedf3d9c,807065ad,8c1e3714,f682ff86,4f6ae08d,6bc15773,53f27677,ff86783e,7bf6f3f,1f3e5ca6,6902639c,a0b071d9,50dc2331,52f1b47b,5c68923,9a1cccc6)
+,S(3db2b461,d18b367f,cbb4aae0,7a73ce9,6c1b4cbe,140099f4,d3839764,7414b5da,515ead0b,a8ba7b25,9f04484a,4c55b532,5686b882,77562b99,21827706,a036a142)
+,S(5516a03,3da8cc3e,28170010,5e8d57f3,daf5bb84,596c040a,3d2ae05b,41cecd4f,6bf44084,f0ad14a1,f129a267,e13b0717,6d2fd274,2d4be75a,2192e54,7ceeebf1)
+,S(7bd86d5e,6fa18e26,cb0b6e2d,faf2a4d6,a784e831,2e7168bb,8e660e3d,92514c3c,9b634094,dcf4ade0,eb49eabb,a26334f1,7770bb94,b776de46,64d847fb,f1574afc)
+,S(a24a8b40,d63c242c,3dcd2513,fbee3c04,cc15117e,aae40daf,b39c3373,e6a83bfe,49163714,afef59b3,b503eb73,ee091349,e599c563,bac4aa37,13d7a6d,6f5271a3)
+,S(acbbcaec,8b01374b,454208a5,19051ebd,e5128307,785f7b25,706642f7,775a932b,102283d8,1bd1e9e7,e5641b8d,a701f51c,86047d76,51becfba,89478d8a,a6226572)
+,S(efd5654,8f37a094,19f9fc11,6d818523,c4d76725,860d49e4,a1cd8434,a0cfda99,d521204b,da2b9db5,dfa47c9c,6ae4616a,52b3caad,5440e4f7,f1fc41ba,766bc180)
+,S(15600bf3,ffca622,a163244f,47789725,b4c112b6,e3d7652f,fe829a6e,386041c3,b1a1ddb3,e2b0e170,8cc9e6db,13c7b111,93673cc8,397d9b59,5b4e8dea,a39cc5f7)
+,S(8d14cebc,62f7cd8d,fc60c2de,d144c76f,55d9d6c1,be5380ca,1e1ecefc,5a85cc53,244bdd67,5030a8ec,af876f5,99a34f98,ef7388cf,e6705734,540f57f4,15641220)
+,S(e3cb7328,29c6d09f,6ee940f6,5f30c79,7dbbc26b,b8b8c860,f6e07088,a485ebaa,e50a5c44,6768827d,ddd57e18,68064e61,51c8951e,e4cd920b,b664ca06,67096db0)
+,S(9a18212d,45364ebd,3ecf4d76,3efcc66a,ebd17b7a,f8bb7f65,8679664e,16888e47,85297209,abebf492,ebeca275,bdf3bd2f,987d1e29,6bcee299,9d6e59e9,2b890143)
+,S(43366191,859bb3bd,5b44f1a,d9076ec9,5439c082,c99f70d7,4363117,8020521b,9dd6d890,16666a3e,6bd8c0dc,76cc9792,fe5d76b8,c49cf9e3,75e031c8,bfae2556)
+,S(1b77e51c,b11e514,29955ae2,37659c5b,a8050ddb,685e5b74,fbe38506,33bf9358,f198ea65,1ed4a743,a14fb905,fd0bfefd,843bb00d,675781de,5fb1552f,c7f382cd)
+,S(7cc6fcc5,558cc6b7,156a62d2,e823631,e0b95e8c,57fb79d4,b4aa3ff4,9cb718cb,526becaa,c0c84e61,b3fc85f,60d028d2,eb90567e,319bd6f4,12b1a36b,9c3d30ac)
+,S(18c1e51e,10a7dc5f,7783d511,6f2c0457,664ca2eb,6541ff29,591ee59b,f9f958cf,7f72840e,ccf4d03f,29ce01a6,725f6b97,d701a935,bce8a2b3,c1e44904,cf98a300)
+,S(3b9335fb,b191bc9d,17efec98,77960307,2648edb7,2c427521,34df37b6,f1620c44,ca526125,8239c80a,1ae893b,268d28c2,b02d56f2,d03a8a7b,aca25def,34d6d694)
+,S(f39660c7,ba9bf800,381b8ddb,d783dc6,acf8c183,95f9144f,688db8c9,9d7874f4,c5037625,2abd41f9,7574a607,52be4c31,e5ef2874,5e9d80a8,da2ea676,4bce5cc1)
+,S(d1d2872e,ee06a4b5,d3b735b1,9db1d88e,cbbf9ba6,89c1e411,980b2cde,e70c86d6,dc5cd630,859fb9da,70f25023,5b7bf2ec,938743a,a9f04fd0,69d1d746,e3ebbfef)
+,S(aa4f71b4,720f6470,8b6261a1,ee97bc7c,ee85b274,caf71a6a,1f7f000a,b06a1948,958fa65f,acdc42f6,c1e98f7d,f67ccc39,14dc5e8,d20bb872,32d7c898,e451c017)
+,S(85904824,63e69633,42cd1e89,1502c309,d74e1722,fad8e766,d7e8f566,49bb732e,585601b5,5bfef406,ec5f71bb,6bae29c3,c5e77247,befbb549,5ced52a6,da64a2ff)
+,S(dc899ab4,89a12ac4,4152ef63,48553ed8,29855449,c204327b,bcce6418,75df4d99,6791a965,65fb749c,44f133d4,b3c9c8d,77488831,c8a99ba9,7b66c9b,43deddb2)
+,S(2fd60f25,3e0b4f1f,2589a096,f9a0ea3a,405906c2,690fce35,ac7df791,f106020d,872d52b0,1cbfc3b0,ff699950,5be33b51,64a7054,bb00e22a,9a87d692,dccbe782)
+,S(a74830c1,7f816549,cd617b94,c0360b8c,9206b382,6782d351,650785a7,fb71212c,fa928b97,75b28be7,4e340cac,eabf866c,fe7e7299,7c276680,2d211b1b,389823b6)
+,S(fd450d48,c59fc4db,e3366b43,caf00c2,bd10045,842311ab,20f8e24c,6a9a10b7,512d1998,db747e39,34451fb7,9aaed7af,48801051,dc8ef756,4580db9f,bad910d)
+,S(c0816923,9f2bbbc7,34d52def,79f9f4bd,cbd8c435,d90561ba,fb23f12,f1fcb93,fa00c81a,8c5cc2d3,5f78f0d2,475851f1,73f70cbd,cf2c950,8ebad1ee,b35a0852)
+,S(247c4075,9a0e7098,25a5d82,4fad3419,55103052,bcdc7ab,fe4e559c,84a04a66,8da3cae,878260ba,1b95a5db,900f20c,12597187,4191cf21,939ab6c7,fe378067)
+,S(fbe3b30f,16ad6608,32f9ab15,2f44076,2f7a09a0,b07b12b6,4375db15,37fa4e9c,98cf3e68,2a914c3a,ee54971a,793a9309,8c63aab3,e2db5389,3f05450d,61b9080f)
+,S(79f71ab6,fce86bad,be02055c,520e6e0d,88e98def,d37f2d2e,488bf455,3ec954c1,b5de6a0b,c1745341,3023a650,45262a31,e9264089,8a655b0a,4b3042d3,a9114330)
+,S(d190f258,e2e3bb8e,6812da59,606f2f4a,2e3fd1ec,34e2c80a,9d280f5e,e1e9c4cd,98997b49,afec7d7a,26a26f50,9d4948c9,b5ebf9b4,3eef6183,3a2b7a8,6183c267)
+,S(24f355ca,c0e00545,f47e199c,3818e76f,534eca88,776ff6e2,54244686,24f0b636,37710da6,5c3afbb4,308d5906,7ad044c1,4df30f03,427ac83c,23b829f5,37d25b46)
+,S(bd221461,ae73e639,6b23d269,ed6907ba,330544d0,80342de3,a769d3cc,668cf536,a5f25513,3967fa67,b22dbe31,917d9d1b,ae11a1d9,dc7ab731,26e8f0e2,fbc8deda)
+,S(cf0371e7,22194be7,ac5d19c1,1b447978,b38f8a1b,dc1dc3e2,471d4a8f,75d0f6cc,4bb04426,94fe9d55,cc49dd4e,e168b604,564b95f5,99566f3b,9fe2fbdf,16084f1e)
+,S(ce21a5e0,287752fd,ae9e04ef,363540ed,f6736c34,266a2d77,b5d0bb5a,868fc32a,fc30fc93,bb5a2731,8b81b942,4fe330d1,878e710e,b9a44fa7,bf4cbfa7,10c7d0dd)
+,S(7c95d800,da4720a4,102de774,d585f230,2b849e57,1f42982f,a785bd15,334b4b12,244deb56,fa5b4367,2c39693a,f09083f9,2b153a9d,4829ab3f,ff604fed,a266b30b)
+,S(40bce9b4,f90489f4,d392fb93,3f98f71,e9281976,164b25b1,982cfcfe,338d93e2,5a9ebed7,25bf11e8,7bbec766,c52309d5,e2036454,447b8ee6,6dc79dac,7a2a9b4)
+,S(f15a2ed8,2c00ed9b,9e7a9338,2d08c46b,33ba7bb5,dc15f5df,4cc29fdb,86f11c4,d02ce92c,e556287a,3acd4115,a190767d,2979dd7c,7a32dfde,cb6d806f,6e7d0205)
+,S(4230d263,d5a4a915,cfd863c0,e38514b0,4929d352,d8a90c00,c0ab9ee0,56215932,4b134eb0,51699656,dedc7704,3d5586c1,62134b00,e21ab1b4,517bdc54,5f05fd69)
+,S(6cd6bfa9,63327c26,fd2c7aa4,fc159956,1a90096c,dc88f414,d5cc9c64,df6a9e84,6741fda,1f774c52,20b04db1,9ba7402d,9b77eaf5,b8e9e2bd,a000d2df,2022565c)
+,S(118face3,ab188a36,581cd1ce,1d434fdb,f1d06f50,1e9a64be,bfed2ea4,ba3f477b,a263037e,c8d5a9eb,be1a8b97,bbfa5624,ce00e852,44828af9,8cfc38ee,1da9052d)
+,S(6be81e79,5fd1229a,fb24a395,fccfbb6a,ae4fda11,28f93faa,f74bfb76,c39794c7,edd0f9ae,bbbaaf0e,bd1c01f,af128730,5d5fc5c7,732885eb,327eb21f,62683869)
+,S(b9a0023b,6fcbb06a,48f97684,509b8b9b,937f990e,4c3f1a61,27a8a18e,e4c96c3c,e1b25ce1,3e8bda89,ea631d71,4c07adfd,c31fc6b7,304b5e7f,1cc7221a,6597df11)
+,S(4e384b06,ee4007e8,e70f22a6,1af73d89,4528722b,cf58bfa1,16eaa29f,e1f2334,2fa6ecd4,8faeedb6,240db0d1,14c7eb3e,63540e31,788f5f55,98c52fd2,538ef0d)
+,S(14c8267b,6462dbfb,6ad45cff,58d9b22e,9fb0de4e,3d026999,9357acc4,d254ea52,86da149d,e14de86a,20becddd,e33e99cd,158a50aa,2da085c3,cf675eac,224b292d)
+,S(42d0c7fc,21129bdc,97318985,73b6d111,568005b5,cbabcf55,c1828340,4f5de376,8f83e957,92880a3f,dac6738,e65ea463,1399daa4,defbd1e9,41a5586d,a42f652)
+,S(bfb03349,2fc28eb,82bdf9b4,417f02ee,f93588a5,b138c520,77250499,23e9f135,c65872e6,9438a5e7,a20c3492,7a3de7d,85c690c8,b20af801,915585d1,98184882)
+,S(1a111410,d04e1278,3cded32,b3602007,7dedfa32,6493a780,999c68a1,dee18047,874723b4,c6b63cbd,d957098f,d0124779,3e711a56,fcb8499a,a046f5d6,36d5be75)
+,S(a47aa995,3a999aed,9c1d1f77,da8b736e,6d045d3f,9b32ecf,a6bd4225,fa66cf6e,c4ae1566,4da8e033,f0e3fbbe,472e16e0,70a4b40d,f210f7,3d0a6fe9,3dea782d)
+,S(52ccf2b4,5cd2555d,5a0a5765,92b5ca7f,5ffa329b,6bb12979,8f2c10d4,bdf34119,92abe502,d23e9f61,f420e4a5,44e42864,2462dd0d,7d7f386f,ff7cf2b0,b3a5043f)
+,S(5d2af6df,77107953,e6221a4a,ccecadf0,a2a8d676,5e720d2e,38c386a3,e6b48e4,5a44be69,80ca8082,5d435aec,34db8be4,6dbd05e9,9b8fa176,45888bd4,2260cfaf)
+,S(e0f9b457,e184de7e,7484ad3a,dff4adbc,4dfe508c,14341dd9,d2c4f584,807e3fba,d0712e1,3bc4ad8c,78261681,3d00a237,36383731,7de79d0b,1f52264b,6ea70526)
+,S(6797c2e1,d1c2643e,a831372a,abf36ab5,fcf88804,9a01f052,a7930792,acd2a7a4,ab005587,69f8d361,2217de,8d4bf205,925bde,7817e97f,d155fa94,8f084167)
+,S(f302e07a,8953b3c1,f0b3796b,55bdf133,84809aa7,3dfe4fde,a0d56ae7,a04c2f26,339d529a,a6c0c8cf,f46682b9,c36390d8,28b2861d,6f4906dd,a4659028,c74d780a)
+,S(aa4c04f,b8261965,9254f9b3,2d9e25cc,ec651f79,b710cc3d,bdf4eb3c,dfc207d8,520cbe2a,c8c0382a,23d2cea6,6a18f28,bb87e773,6bf60dc1,cca64a58,9fda48db)
+,S(cc4bbc6e,7f4b02b5,ebe6d484,6352257,4651fed1,a079767b,fa53d1e0,dc38b5b9,4be5e0de,c97683d4,939077d1,edffcf6,dee4a88f,f7d42894,c3d50302,70c9554d)
+,S(6a4bada6,cf1e123c,e80fcf83,2d6934f5,486901f1,6d3ad0af,cc87a4cf,205e6e79,b79145f8,24d693b3,832c6676,e35a73b8,d8acddf1,681720f6,c8d5ac7,f81752fb)
+,S(d7ec4d61,1d440625,367b2c5f,a6904b8d,cf6f0d81,39cc3bc,16299e1b,50c9024c,18c402c6,3e818647,7f15bdb6,d514373c,89d1f7ff,bdab83f3,5267eb0c,daa81d89)
+,S(4e21e4fa,4b570b40,77ff6876,a1d7e4ed,1db77d0f,56d35445,178ff508,5b197169,dab19080,ef84f0c8,4919d869,36de1aa3,ca85a1c0,aabe902f,b46b31b0,3b350580)
+,S(32aa04b7,53752059,7b4ef603,62aa208a,effa6891,240a587c,e1cae58a,28a6075f,ca649475,a58a3ebd,c3802c13,f006335a,7d203ddc,88bbd1fa,f0787839,b9452f21)
+,S(306bcc2b,94214994,e86c7fed,4f510ad7,9eb1af11,b824d897,a1cc7564,9eaafe0a,820c2986,abf17343,35089773,5b4da35c,56265a25,4a768346,5dc084aa,ecae6dcf)
+,S(37d23716,1044ed4,b395b044,5d70eaaf,864530a7,fd8490c1,fe2d1ea5,61f4bc19,a6a9da7,70558993,ce38d5d4,c69dd25d,134f37f,c28dddef,2e7edc0,c1343b83)
+,S(1f324230,886ef594,aecbe39,2d7a4434,fbb9fefa,fe22573e,9302d3c,dc81490f,39e53099,f25e977e,da860f77,6d09338b,c0e75446,42557c8c,b05761a7,c18537fa)
+,S(256d4808,d6dd018d,392a6716,2af909f0,51bfeea0,9ce22a76,6266d1e7,61df967,d5643938,c7d9163b,38fc8072,609bcbf3,e063d78e,10cb8cee,32c00abc,6341df09)
+,S(58a91493,ff7aa600,1f457506,624ce8ee,b1c142ca,d49f67f1,be099c58,3a7934f4,bde8d64a,79d5722d,6a96d240,897a7f48,8e20f19f,259fc6a1,e4483448,e0290122)
+,S(b4a80e5d,eec9391,8f146b4b,e0d91630,606a5c79,1c4b7b87,d4363de6,e2691f2e,a6ff5b82,ca6fa424,efc00b20,7ea90991,fcd5af15,d23140ab,96da6cc8,bd532297)
+,S(41bca570,b4981232,f21ba765,4f23d5ac,27f3bab6,9f1107fa,e3dc5102,6f8dafad,5a14cd59,9b0bb884,10ed1475,8445c49,3af3b7c9,2cc6435c,5560c4d7,832709db)
+,S(bcff28e0,bb6c242,a7805142,122848ec,6951940,bb4a2e3,5ae05137,d73e8264,43661933,9ff9f2e8,278ef17,329682be,aa801596,e4a12b0e,615fbe7c,4b24e1aa)
+,S(8aaa2f44,fbf66c2b,809180,bdbb4e2b,e25ff178,232fcaa5,a2c2563,8c1ea21c,69dc0de1,686bffad,1ceee711,95831b90,c57900a9,baf57ac,2f34a917,6d33e21f)
+,S(930a3df,f84583b0,ced82f81,96c39c16,b9318f2b,44efde12,2be6c10c,70b33dc9,ae802936,2b10029a,a81cfc47,1251ffc3,6b586de,da9c1754,4a96d3ec,31cd6d1)
+,S(907cf1c1,92b98461,8021a33d,1c9d22e3,22dc83ab,d5768a39,c04444bf,d4e76df2,527eb629,ca0a2e2,7da96361,ee727a34,97edb8c8,68694871,6a7dcca5,13b6f901)
+,S(f9d32e84,76c666f6,29e86e0d,3804eee8,abe1ab26,ae2eb396,b584e4eb,e9583b88,d92f265e,9e6c5f4b,bc05a432,6fafeace,1516f823,3e5dc280,b239fa6c,bfdf7fb3)
+,S(94772c31,70e50bbd,9952bc69,44e0007f,3d928cb2,c86465b2,ef040fa1,b4f90d9e,29021913,9326e358,2cfa8ee2,428c4307,86cb2de9,6ea2c735,eb71f759,bab14637)
+,S(2b49cd38,8cec8c30,e984d40b,f1409c6f,df7ff24d,36cb699b,5f3c24c0,fcc872fb,9e65a427,ce5dcc20,db83a96b,720f29fd,df643b2b,a192736d,c621d92a,6583aa8)
+,S(454f174d,8c344479,9bb58158,423d8413,ce87def9,2fd25a,5164807c,982d84e9,bf324810,d9894da6,1eb1e3cc,5a30639d,6500a453,c14e8a40,78353d42,7ac67ee1)
+,S(df4461b1,dc1eaae8,5b4b7fe1,e87753e5,546f48f,e39da02f,f1012b24,58a79a17,ac4fd2bc,af8e0b51,48cc5a5d,46373209,8993b377,becd718,732fa339,95412fda)
+,S(32973a0,d1be4c6d,1342b2a1,44ffb36b,81fd9b38,c0b7411a,65b8ccab,cda9161e,558b278b,f507b498,fdbbf73b,524c4652,53a0082b,d53a87f0,75d5a49a,bb601b69)
+,S(cb63a9f2,d1a11b08,479275f,e1f0bc64,37126875,5bcd8a21,3481be2c,818c69d6,4949d3dd,a31db2b7,b2d42f2b,4709a870,5094d470,1e742f07,b6f86670,e43bfaa6)
+,S(543ae5d,a0c271b8,41542353,277e1651,b7b0f587,a5b18ed2,856c2e07,41c28914,22c999cf,aba6f95b,21f87ab8,2f2edb2a,3dbb43a6,ff413506,83835ae8,bbcd0a37)
+,S(7ffa63ef,3df62097,a3b61289,4eaf5bf7,4fb39ad2,9ec63f02,2c6f310e,77268c7e,9d26cd72,8fcbfe54,6eda19db,5ac61978,1b456699,59a21628,2500e5f5,389679ca)
+,S(72cc6606,b02943a,5bd9a476,6b24caf4,e0e2f83,ae3bf671,5f05b39e,3436122b,f35ff21a,39503637,d05b744a,77797565,1e290541,326d920b,d5bcbb6f,74b56c3a)
+,S(f5f21182,de67c3eb,396055f6,a8f64f5e,54043376,cdce9f3,3cffa601,4a348a4c,1fe09f94,8ad7f78,6c184675,3105cbd2,e0f8be91,f9160e81,9201fed3,3208b3c7)
+,S(1cfa62a3,70171431,52fe149f,db07b00f,bd8d7928,e5eb145f,b4ff7343,fc19437a,1efe47f,e41677bd,337451b3,92eddb1c,ecfc19d0,5ef04727,12927d4c,77b2a742)
+,S(b6609139,733864d3,abbdb6bf,4b827b2,3861594f,ce9e996,4637ef14,f0fb6849,2e807df,ae409cef,b7be1ffe,63351d8d,8de5fbeb,f3be5069,31befc97,d479c006)
+,S(13da7c85,bffeaa0f,e295ce6,38de0b05,1b4aaf9b,d888f5c5,5f74fd60,abf2e016,c0477fad,fba6531e,f6369aaa,be663871,3bd6954a,d1e5df1,269c7208,31cd5bc3)
+,S(2abda634,547a86aa,1188b2f6,ffaffb36,dd126d94,18406bed,8b81e29f,596526a0,7db36141,2e96e02c,34c0e39e,1201617f,2a7f2100,d5c3cf64,6dcbe563,e2b25524)
+,S(4e161f2e,22785c68,3ac494d4,1e3cc2d5,e6b87be8,bd65e85,8aa255dc,8ea8fba0,c81a4e95,a2cfa101,fcb62112,b60c574c,623b5df6,5a1fcf51,e6bf2936,45d5f17b)
+,S(586be2b5,740b0ed6,6f5c5f6f,217766e,ad5543eb,8e983ffb,928fc40,9e76397a,f11acf99,8bc2a25,48799529,9c7ea84d,98c6a525,6cbca56c,3ad534f9,26c6b08e)
+,S(a76c4f91,1d0dcd58,9417fca9,8124f62e,789e0b05,91a9ce94,13e0b7d,e7d5986f,6a49fc1e,2b32aeaf,6f291184,3995602f,903c8d76,858fc532,9b3a1940,2c2c9b7c)
+,S(15f11b1e,804a6d54,a496ee4f,f3030167,eb510e9c,c1754bd1,d46beace,1211a68c,f8968e8d,21bca271,75a79de5,31ad810,ca6c6da7,72ff96f9,937ef824,8f4fec45)
+,S(f0169f41,685292bb,4ac93afd,58b2c239,3985ecd5,16acc8ed,ce46f325,74b23e58,6fbd711e,fd488c8b,43151ecf,e3a42ad6,25697053,1df18afb,68f8ad71,ee9aa05e)
+,S(2f241e5e,2596d32b,6cdedc4e,b6de5f53,374e358d,8db78d08,9e772b37,6250f359,fe79f0a0,cdbef5a2,7287c86f,afbe917e,4c26c4ca,512f57e4,ab066d3a,3f7e71e)
+,S(a14743eb,92bdf49f,5f404a54,ab193100,26f3fbd6,fc5a06e3,e8c6b33d,1f7a5559,3e7e5f24,b1d0425c,ee5c56ef,1e38098c,6d67fd12,f57eb2fb,1ee76c57,41d57c54)
+,S(2d097299,db14ce88,8da72472,da686f67,b8ecc812,5618cae9,2acf6457,a011d2a9,e9cf7195,32f71130,5bae1fd4,ce3a8fb3,c8d71088,df35b49d,ad9c16d8,8734a187)
+,S(aa7257f0,d7e51fbd,95598b7a,a994fac1,41aa76d6,318cbda0,20d30471,73317f2b,15e00f94,f684c30b,5cd4a978,c6245e6,8d30d959,a30fb39,834e97d8,c18a1b27)
+,S(ae524618,e2877095,d52ffc94,67a081e8,b27b4b16,566e2b37,c8d11b1f,1f7416a0,d0275a1f,6d49a7c9,44a07a6b,ee5d5095,7b22b698,2607f822,8ad15253,a546ccb0)
+,S(e7a85ef,ff8b0443,eace4cd8,81d768ba,ef4d93b9,79b17eae,fd237e8f,c9ff660f,4b53f073,8f07b360,7d66f720,b1222df3,eee2dd,ca20f40c,630a7911,a0fe2aa6)
+,S(daa96eca,b8412eba,75f58a80,84a302a6,37dd7d77,bc9dc502,a2d083f8,35bf242e,ac3dfd97,a01557af,cd1f199c,afea0cce,52c8e3d4,975cb331,1c817c9,fab0815e)
+,S(34dec21a,965b7027,44fa7881,4ff6f782,790d551b,7be35c,18cd46b2,e189baca,ee825c5c,5cc289b9,d7f01b43,4de4f0d,d250f9cf,c22c8d20,a1e54175,9bd23694)
+,S(dc2178c1,2f015bee,829f0567,566d15e4,d607c8f3,b2992801,4b6a5607,1e61247d,fc86780e,31cf57ff,5da387d1,c3c25a19,36a263d,f6571de1,d098153a,97b41db8)
+,S(6faee1e9,354bebe0,1fb65158,20b7e992,9517cb40,23d49d19,2a002ba4,e4782db4,a4915992,ceb8813b,e2778fb0,47766b6d,3958cf72,f18e9172,3f74cef0,1d2276a)
+,S(a2bcc012,4112818e,571c8dae,3cb724dd,e45faa06,d04d7128,e9a71dce,22f300ca,1f594d9c,64ba43bc,11764c61,f8fef5c2,e31fda39,3447e7d2,10d004bb,c13870e3)
+,S(b8cba39a,c51d86e7,d83a50af,f5370240,cd7b20f3,81aeb799,f951883f,458ead76,3a8bfe74,2b3a05be,27ef835,39988cc4,616365fa,e3738d35,29f9c0d1,c15eed4d)
+,S(56e532dd,295792a6,ede9da94,c43e0b2a,25b72725,333f8205,7a352ac9,7a1991d3,a617e234,18bfdccc,8facb454,649a4914,2f0abd64,f30e06dc,838fd80d,7a141fc3)
+,S(4803406c,e4049575,19f5306d,6daa003d,2aeddc1f,c1d4db45,15a8d35c,aa39a6d6,7add51c,12412f4,49d7b0e4,b7df38a4,83151126,49660956,da6273ef,8b53fd5e)
+,S(bd61ad65,2e44effe,ca39620,2f84e4d5,d81cc579,2a2390f6,52409852,cd79c459,f3d7071b,8bb18928,1d827f71,ab7b1ad,5289033,ab28d20d,643af02f,a2b4ce5c)
+,S(1b543175,e5b6f271,58048588,f81a791b,3ab216a3,578e2f79,354da6c9,5e4ea9bf,67a2e60b,321456b8,5b5499ca,e33cd6a6,d5445f91,eadb5a5a,f0e2164f,324417d7)
+,S(2035953d,3319ffa5,9f75d86a,8d1b52c0,e8118ec4,d830d15e,d9616215,cb82d080,302cc0d8,5bc1e667,b160bc8a,64cc3bb8,763066a5,6652a0bc,c12691be,c41d7aa4)
+,S(bf2a9739,f65bebbc,90413f9f,d311e095,e7628dcd,d76d25a9,8a4681ef,f4f84035,83932d07,cc950bcf,380cea81,28e04322,26b9a4bf,8536122b,fd055517,e7d3b2b7)
+,S(a915504a,bb62b4a8,1288c44,8605e8ab,bafb4f0a,ffbcef23,c9c2a26f,f2cb8557,2fec1059,abe1bf4a,834c50c1,edf0e5a6,2ef21f7f,9da2fda,20989bae,18acd442)
+,S(318939cc,fb2eb0f8,30d30079,7e209f00,6e28b899,8aecb548,b3b97900,9ea6aab7,5308df9d,10c7d151,cbcbe417,91b627ad,b7204db4,dbd2e01a,c5698e61,bdbda375)
+,S(ff9e4851,d3f0c9cd,818facdf,4781cecb,7f622039,c23e236a,7e4b7368,64af1a8b,fd69f241,bac1c6b9,a52d6dd0,6e7bcb6,4a4a79a4,9c3881be,6ef8c83d,3f462c5e)
+,S(497113be,a88d4888,2c98ac14,ba0bd0aa,d3c75c8a,58d374cc,86a7fd0a,b6259cc5,9029d9bb,96076d69,a264d2bb,6fea2f15,423ff1f6,ff47c02d,4699943c,9cbfbc4e)
+,S(2b2cdb82,6653f563,dfc4c373,96d738e8,3d1dcc5a,ec5f4886,2d5ca84c,2ba69103,d1985cb3,f42e4ae1,7da33b7f,f8563236,6e2f5c89,b849ac73,afc3a7a8,1d049d85)
+,S(c55dcffe,fe63e948,af77c8c8,32cb6c0a,c09ced5,5c338bef,fc27fd21,dc63b6c8,edef9fcd,b00fb62f,cc97c03f,26253069,de6f8d00,c13a5666,f574feb7,fabcab6a)
+,S(52a0dbfd,371bcfb0,e2c69160,c9cca2b7,8dcf679f,774c9d99,706d306a,30eeb3c8,fe01f320,781275bc,a6c031e6,d71df467,56473d8a,780fc54a,6f8eb1ae,5640bf65)
+,S(75c4ace7,6bb32bac,13141f21,615e11e,7608fda9,cba4723,9eb6bb8f,349a9e86,7fde50af,19506ba4,65d49b93,c8884478,dc34ec91,9bd5e22,be6bf71e,a870a70d)
+,S(69cd7caa,b220abe7,8f36f7a4,633802b4,85969ac0,e9c4a244,7b0ad782,29daa879,4140a70b,8d9025d1,7fb3402d,2ac8afda,e9e0269,b29d488c,2266c1bd,58accc9c)
+,S(b6cf3a30,d2a5ec8f,4480df82,ec6104ff,37355ca6,f16418ab,cad3a0c7,bd8da064,f12006b7,5d406558,51fde0eb,c68113b8,50441595,dfe3dddf,86c17a58,94a6d923)
+,S(65c4a081,656d9b7,445131e8,6081b306,3a6e0c02,5339d3d7,cf48e9ec,4e8f59f1,51f4ebb9,4b63b8bd,2cdd6d88,c84c8608,bb380e38,c748ddb3,3dabff1c,f50197fa)
+,S(c243570d,e74a1fbd,938bea43,bb17a929,47a228b1,ae47a6cd,15c37524,b034fa66,ca57366f,e3886510,903970ca,e1a5dc5e,bb857007,cd4cc56a,37fc7fca,8aa4cd40)
+,S(9290d033,1c95584d,e2bace9b,788c50b2,f7fda83d,d45a4a37,5705400,45339d7,dcb3032f,c4a41076,8b8e442e,46cfb16,b63f4fe9,f94a7d5c,f932d0d4,95e699e6)
+,S(295df203,cfa65b66,6afc86cf,b879d650,7075f75b,d1eb753c,709760f6,6ae9df94,2cf505f8,8220196f,9e5478e3,6bd82501,671c6b91,a404fc0f,b1fe00cf,12085934)
+,S(1631e6c1,3f89dbca,36cc78db,1056a461,6ce2dcca,62f90b0c,5fcbf232,77d41116,acbcbff3,2c164cd3,b57d3b89,a326b5d1,46b5769f,a5b35df1,efabd2f4,407759d0)
+,S(db0b2c5b,eec9f06a,9bb43e4c,de18d978,59a95cfb,9b319d2,5ba619ee,abc49e31,d647147,d8330315,1446a405,85bd857f,ebaef109,22ddd0e,3ac62231,8ee91abc)
+,S(2581d046,9e8bdc16,e535c787,1a37c48f,929aad34,b694ac2e,5d264962,11e744f,7bf3c684,3d953b2,dbead1f4,8614646c,d18b0f2a,cdf6fbfd,3ca68498,ab25bc60)
+,S(9db20da4,d576f564,372aeed6,eae78eed,f512d13b,13d4e9e2,eb3133c6,13c4b80,40f8b2b6,fa113b6,ed7dce55,d62587d8,a86a43b2,9e0b4876,c5607b89,9144d255)
+,S(849b193c,e490990b,e2aa48a1,c31694c5,fa041f96,7086a83,cd1a06b6,ccb5e3c3,353b49a,6ac0c705,5a3d5e31,fa428e2,391165ce,402291b2,5e1b0496,bda41e1e)
+,S(ae83dff6,5a1dcb6f,e2f56437,c83162a4,a388a16a,bd387d62,f5c5ed,ea08fe7e,e9c57ed6,5404a00b,a2f87613,4d484842,4a32246b,def6c31b,533caafe,7029eabb)
+,S(24724eab,46175b4,efe51d4a,5993da48,1a62c6e5,f05d16a5,17e4f58c,fdb103,94465b42,e4e378c2,1ef0d1d1,8b25d140,fb17f51a,fa4d37e3,450c73c4,72468b04)
+,S(c2e2f802,4ac48fcf,41a3790e,e9916018,5a301859,3cc3fa77,c7840552,6700659e,b1fe219,1563f9bd,20c4dd45,615d8cc,400911d,20cfb7a7,672b06,20d32a2a)
+,S(8b889bc3,e2d1405b,47a1a05f,fd0c17ef,9b4dd75,4d30640b,e3c4de7d,f70791b5,e2d459ca,285629d,956d5046,54c5e907,6ed92fa6,c95643c0,7d746b78,e03a044a)
+,S(336c0585,8f5ee169,fc09fc73,a181ccd1,3bd62dd7,c454837e,1a5d7676,abb2faad,5c29a656,e8f2804,6e855c6c,eb0d908e,38f1b62a,69c67948,9d6a03ce,64a90c2e)
+,S(c9a6df46,411961d,a703ab23,605fce16,fe021576,92a9b80e,65b9e4ab,efc9ee93,8b63a4ab,18a4b190,89dbc53c,ef0b0dc9,20c0ec7e,1fcf075,195bccca,58d52f6d)
+,S(6cea35c8,b3a45063,75456a6,2c95e8b3,7d84a6d3,e909c5a9,cc4800eb,5bc28367,68198888,eacc9380,4a3233ba,1801d586,e5bcb2b2,78efc7da,6764bd5d,edf0ee90)
+,S(f13d4ee6,ea31999d,d8d1220a,13ce8353,7c350046,319a0412,e562cb8d,3e4ee80a,5f7afcc4,37f0b29a,ab11a8b2,14947521,bbb4b622,261b9e73,f989e1b9,9f43a2ab)
+,S(7385b644,2e43ab56,f4df8a57,4d0a32ac,6e5a7114,13dcd992,f86c0b04,33830307,6d27608a,8ea00e22,4197c8a1,9e9511fc,7ecd7083,86e94ab9,6aaa35f9,c8c2c5f3)
+,S(35923ab9,a784ee6e,5a4e911a,7552fa16,ccefa4e3,dcc90083,e5a19e31,4dfeb06b,c900475d,980cce8,7d5cc091,7a28c18c,2fecd5f5,cd2cc66d,e26deb61,1c5acb89)
+,S(d88b6907,3abccb02,2e235e60,4f3e2877,ef979f85,a5b3fc4d,fdb166b,a4155d9a,1eefcc82,69a20b9b,48d30d00,e7ffd021,a9b7b171,378a299,819d6e6d,19d5ed24)
+,S(b86c5281,cfb9f3b8,4be4f83b,1d13d33e,1f6abfae,bbedcac1,63362a76,8740a827,c1a32696,fc1f8507,289f111c,85483b23,23d228a6,773030e8,dcf30f6d,57857dbe)
+,S(d2813221,9c730094,97c257f3,1fbeaee9,1afa001c,84e4b813,d7ee2452,6454c640,75d722d9,7111d6f6,b6324598,8720ce39,66fae55c,3d81e4d,ade294d6,1269b4ea)
+,S(445addf5,bf941ace,6b4aad55,6f174ba1,ee793bf4,9f46295d,19fd8e2,807f8d3b,cbe249f1,fbb39f8d,93079d0c,e84302dd,52212b6c,828a1626,b7446f91,4f6727e)
+,S(a2dfad8d,66fd47fd,38fbcb74,b983d366,c57a08d1,b04f1acc,4fdf047f,100552f2,63011d2b,43822a21,ddcdb1cf,ef4dc0d2,5f595165,26939761,953fb738,77586c9d)
+,S(c4e84511,6644466b,8c573b8e,c7dd3788,ecf1c6c2,63ecfabb,b13f697f,2b2e3a7c,1e53964,a70e83a8,ed9f5d8a,b6b79629,7368bc5d,cc90e6fc,4e8e6f65,542f63cc)
+,S(63c4cc2c,cf368a04,be814d1d,81fa4250,653ebeea,ccdffea7,944801f6,efee1aba,6fc2bb4,a7e573f5,fea2cabf,abd9a145,c7c36d62,11928341,e9553e8a,b38fa90c)
+,S(51eb8782,a3445ef6,43f01634,caad6fe2,29585dd6,f073acf3,62cfaa3e,960343c6,56d20f56,8e6d868f,491b6e1b,80fa5c88,e3d625d1,433b1dcb,5ae2d35e,b40a960)
+,S(d89ea50d,ab6c4c39,48fc4d4b,73d7812e,a6b59ee1,8e7a51e8,bf6249bd,ec59d068,a1ae85aa,e842ab60,95feec2a,d6ce6206,e81a6e76,7f0b7b20,d41cd28b,6a8c4258)
+,S(d121a6a8,11f953fe,a90d8f3,4487d654,fb48e4f3,c5ac4db8,3e3f50a5,cd7bac9c,a5b9e6da,e07a0f1,dc1695e0,20502f55,5fbf136,df11b586,4ecc63e2,d7061a6e)
+,S(83f7dd06,e5afbb3f,7b2563f0,faaaa3cb,20c32db1,5bdaeeb5,73219814,caa599b3,c452f49,1e4482c1,1cd4bf46,75d74c5,ab054163,b6d1b837,dd10aa05,950f199a)
+,S(1f5ba7d9,b4cf8684,cd073892,4aee1919,1f611d78,a943d49b,509fffa6,31fdc19,a017e13,7a8a199a,e361dc18,527f0135,51e48b02,c2f7f102,a6c1ffbf,fdd0baba)
+,S(d25fc73e,a83ef669,c2e127c7,1615df3b,ec61ee38,4a6b3396,cc52066e,c3b70b8b,9b5d55e1,c8dd008f,19b5e989,363ea737,e7d7bea3,f7b0d9b6,951dd78e,be6c5334)
+,S(d749373f,ecc1814b,dc8ce6d1,2ebe84c9,e09806a,9cbec814,cf98dab2,4a46ddba,88012af1,84f7ce23,730a3a4f,191d0687,4d5652dc,2be47214,61e9ad31,b39ee397)
+,S(8e05da99,971ba37d,38e7642b,693856af,a90d7206,2d360611,6c8f506d,68316b9c,73de534b,5833287b,61f3f985,2723be7b,e8e22ee3,1d1ef4fb,f45d6931,827e3db4)
+,S(e71e83f1,c6b285db,157f4a14,825aa540,558a7853,673900aa,fdb84556,ae5c891e,e37980b,c180e3d2,481d81f,f9aa33cb,b297ffad,7dbbdd79,4fc013f5,43ee679f)
+,S(bc66d644,dd9da12a,299557d5,fd35993b,ab05ac8f,bdd3802f,25b35890,db8eed32,5fa8c7e4,bdf77750,573a4ac7,1681ca04,4f796ea9,c8379cd5,ed55631d,bfdb8405)
+,S(537f194e,efe43985,8dbe1eb2,8e27448f,fd1b554a,b12805fb,3af43538,fe0e37f7,e82018eb,447b2810,1502453f,db4c1cb6,666330d2,ea3331d3,f79d5652,a1d64af7)
+,S(4af2a9f2,e0fa4b4e,731dbdf3,676538c1,110f3232,7b8f2766,a7f489de,8aec3b4b,cf2e0ca5,dc830856,43151cc0,1507af4f,d84b253,2f0fdcc9,6489baf8,6c1bd4ab)
+,S(81369bd2,a4945c15,389aaea3,4e2855d7,6343e200,a9407ed,d05ae927,5585aa36,a9b4ba4,e26950c6,6648b573,3c0c4e5a,22a51e71,ac3c1fdc,78403eaf,3a667161)
+,S(1c0813d7,ef91aa73,9e3a6f0c,e3c7edcb,2b7117a7,2ad1dad6,1aed130f,c61cdd3d,e3390572,67ac3bfc,5373cc31,14bd0f38,ccc3cb25,862b243c,912c0aeb,98bb86d)
+,S(8a651923,d2622057,59e5f82,b38bfae7,dc922488,749ea56c,e43f0f74,c268f9ab,f3df434f,14f67030,fe888ba0,185e25c8,38520bf6,6e85023e,e4ff4f04,b056d9d1)
+,S(89d98548,30a2a572,dbe91018,e66b28de,835dd02b,f793a469,2de3d720,d70e8f43,629868e9,9e434bfa,98bdc4,f191a08,72e68768,ce8a918c,7c2da42,75e5cb3b)
+,S(97d0c83c,5d83d399,c567ecd5,dae551fb,7f1838de,1967e84c,7f053b81,62965fe9,fd716683,73347fbc,407543b6,70734733,df623a55,1766f55,8a02059a,2ce55c4d)
+,S(20807bb2,650e6d82,38a66ed4,b239b59e,fe073a5f,9cbf0d6f,e3d9a16d,be427de9,46a25a29,c104c56d,8436155f,64b1d84a,b974fb2c,951470df,17a9704a,be5c1f9a)
+,S(3cbb1786,945bedb5,c8ac2d0e,dda1b0bd,ee314cc5,faf56b75,fa878bf2,b218a8f3,ddcec0c0,d05403e8,ea2094a9,6ea910f8,3261932d,701a2ea0,4e93581a,7e4b7275)
+,S(961d0144,1618561d,c3504859,7e1701bf,35412ad3,2d04486,704e5593,b9278734,7e137d6b,2060572b,ef66f8b4,c8ce535f,b858327e,26dc2295,6ee6c94b,c83859bc)
+,S(2814918a,115ca2d,688f4358,9010b7d8,b8b560f3,6a3dce2,8fcc05e,acd4845b,dbf76f51,ef80e324,8820cb0b,bc7f0c2,4d50ae48,6387d206,c333222c,5f959dd1)
+,S(6c4f3b00,c02c19a5,ddb0ab1,798929ca,222a9538,b641cb3c,dd61736,77c9442f,a91d13a4,d3888b82,eaba5173,3ff76fae,8022fb10,8cd61f19,206cd78,7d1c99cc)
+,S(8f48304c,ac37d495,fa1a2ff,2178f442,4af030ca,70662a1d,c750bde,5f5d8dd4,ccff6176,47cbdd3c,3d0c588c,37a98723,c2b2aa14,fd17cf9f,ea45ec72,eda8defc)
+,S(ae3da559,e3fce253,f5c1fbad,8e12a52d,ee989ea9,8552a192,93f7db0,eaac9405,430b86d1,322191c7,9aed5bb,12eece79,f2519bab,17998346,8aa13b69,94032ef7)
+,S(90c093fc,27fa9de,66a1fdc4,d921e5da,6f4fa049,81cb6f91,e085f89b,96561471,1bdad536,4ae198ae,bbb0ff88,3bd5dd2e,dfbaa91d,e989f45a,30befa9,76f2db23)
+,S(730a1c4,5ca28743,538fcacf,a65b7d90,b6f4b1c6,87364cd,53dd6585,328eeabf,7420e8da,cc64a059,b46221c6,c3adb4b3,46eceeb8,8effca39,1a1e36d0,d665257b)
+,S(341eabe9,66c6ce4,65ac18ca,1eda053d,4e6137c,ac0796d4,36a942e5,99ef897a,d298003d,fdd9f529,c1977b3,ed426d6e,2df46098,539b20ef,c2011a36,b7e49cde)
+,S(8f7e1b2,cb538fce,4b4a7775,90d1a95c,2fef8331,9792c0bc,8d5f3493,54fca169,71b0849f,cec62c5d,fdce37a2,61e2a06d,32b3e0de,87c8aebe,e5a95cab,b0c3f798)
+,S(c7ea6b43,ce1e0e83,819bee9a,31fba823,3ee03a6b,14988b98,e80aef2c,eace0d56,e9f1328f,dca6a16e,2100ad40,138f9810,17e37e67,7e7ca747,c3a57ad9,24b8891e)
+,S(b16ea5c3,b03e58b0,e6c217c8,6eacc4b9,3032add4,30acfd7a,e50eacb9,a0e5c1fb,507fed89,5c14380f,ab9e54e,a3624e5a,cbdaed64,b2712f88,48018b90,7a88f47c)
+,S(15cf4de,7c36b72d,f7b98c00,8e928731,a2e71c69,cd0427f3,ac9264b1,5a5fd487,3865beea,6b36732c,5ecfd21a,562ab253,d618546b,c1c24745,8881b20,643d7e2f)
+,S(394efbbb,fa740f53,b1e70eb9,d12671e7,55337357,b982921a,79915acf,ddd18218,8f1f1980,6c1d631e,6519aadf,b563dbf2,37b75db1,54baf06f,6fde8218,a0a68eb6)
+,S(e6c3e152,27453d32,cd4449d1,ab1ad78d,58f5bb6,f29d813c,e7c6628f,b284399f,89d87957,4b640a87,abadc6a,dc51a533,838a83f,53de4448,9ff0640a,502dfd62)
+,S(e2480000,9db30642,f925ef8a,e31c54fb,1340e88d,b6d633f8,415ceac5,f583cee6,39ad28f1,8ecd8302,5cc1fa72,ae4e9897,81318cea,9e506794,50abd959,f19758c0)
+,S(1c134120,3c2e7e21,f5b10ecf,402d52bd,33db3278,70cdfcec,f3b277e4,78f551f4,cd6907b,57cfad79,5e14e7c3,b2a06a46,17b7a27c,ff476bfe,38d68d0f,1470dd63)
+,S(6b2fbbb1,515c261c,954a0be0,279a1cd6,63daa083,1fbd58c9,c69b7be7,ee6047dd,d38ef59b,4e276fe5,6f1f2fe6,74b6974d,5ef1f4a9,74abb2c8,17cc68cf,78a164a)
+,S(dd5098a,8cc8ccf0,7db82096,b52d1fa3,6bd26c2b,57f0cbe6,2ca954db,1773e9cb,a198ec1e,71c53d73,5b50000d,678d7d93,de64a72e,8ad018bb,f515b4f7,c7840aff)
+,S(f6dc494,3baa0613,59a000ab,3aed3456,1972d425,34df86ae,3eb8e5e7,cae23c22,7150f3bc,5a968248,d8c71ea8,32b116db,73ff34e5,35ec1e6b,64b2474a,947174dc)
+,S(e115c926,5930dc67,bda89798,e267dc48,12c06d2a,a05e4a5a,6519b0bc,7096f84c,5b0dc7bc,82b61275,2aa17a13,c1fe2cd7,6b60cf1e,ceaa9234,ec9e6609,7b2018ec)
+,S(6687f498,98a22d8,58ef88a1,bcbfb446,33d51eb2,6c1fc2ec,eeecdae9,e0960c56,fd1912f5,7c0e691,23977524,ba58ea04,5757aeb9,309a5b94,3c993a93,57475ff)
+,S(366ea4df,3aa8da52,763b513c,efa3c739,af61a497,6fc4c884,e879ddde,c2457d1c,876520ba,cca3c711,a23186a4,833db7c7,14b3de4f,fc86e8e4,cbd61cc0,9a48f34a)
+,S(f7951805,eaddd012,2bed030,f3013e15,6fec02b9,80ba8ff1,1a0b978a,3fbeb778,b255b5c2,db866de0,a145a108,f5eb4b69,271c13aa,8db75fc9,f467843e,a59549a3)
+,S(c77d217c,5c7b8fbb,f7bfd244,b2a2d2db,372d8217,43eb4a03,47858678,471d8be7,55573d9b,dd16bda6,ad916820,874d64d4,b260a489,b4a93427,1ea5a79a,f57dc5c3)
+,S(c803dc3c,1432ac63,19db169,6d7ebc16,58021b8c,b92c0fe6,a59d1efc,2056f214,ce8e23ae,c7dca471,8666f61d,d7d8bc10,e06d1929,7fbad7b7,7d45526,9e207b09)
+,S(676c4c3f,617b661,2affb2c2,dcfe072c,ddee8b29,dad9124f,dd24e87b,52a80b88,6df8c35,be6818bc,b6857f47,f59a11b,e05cebae,ee6c53ed,8cb93fa8,92c49e0b)
+,S(8b0c8502,bfa15f59,335cc34,20e04c90,becc2308,12d40c7e,14fc3e30,88b8f34f,eb75d312,9fa4db28,27d20c93,de9c5cc9,4237bbb,a9710371,f767f686,e5ddbbbd)
+,S(6ea07148,5594bd90,2d0d526c,28918bb2,cdb7d1cf,d3ad0b1f,a3ebbf76,71a2f90f,3a30be2c,2058cb43,c6f8ae98,1ce8986a,8b4dfc3d,81d49a80,4e40c81a,a1fc8220)
+,S(aba7df4,8bcaa5e4,c4fd9a21,6b4bb3fa,27617205,693763bf,71b8b214,9cf83c48,6b1b719f,a0633abc,4580a9cb,9c1210a3,3e5e3bfd,177bc76,39057e51,3fb9b3fe)
+,S(ccfca0f,ee5bebb7,26e2062e,2b5cd592,847031d3,5edc7767,414af809,9b3ac2ad,135b2ff2,4e40f04c,adef93ed,ceededb7,380c1e9a,e32a499,467af149,cfb532cd)
+,S(9af36417,f3076595,42ea54b1,4671d2db,f7582ff9,b7e659a7,6465ee2d,4db88e35,dc5d07a2,58d4f5d5,ae649b63,e07a4253,8b8b3e42,c65a6ba3,44900028,c84df8aa)
+,S(e2f308a3,e4d99e74,d6b37cc1,dc41d9fd,e98a4472,6e86764a,89fe959d,deaf922e,f5f8eebc,d9252e1c,74b9040b,569c9d5e,11d12af5,aa21051,8f87043c,7b47776a)
+,S(a62581d4,c4fa4b6,aee11db0,8fb698e9,864cf336,578c536a,8a887d1a,89b43e35,b530ce21,bba9d034,d53dd490,2b76f25b,4391914a,5f87b6d8,2526f7c3,def132ba)
+,S(11ef91f5,dfeaceaa,52f434b0,fc03085f,60c12ea9,4441574a,5725aa86,52c259b4,a2c81e79,cb5ad0d6,bf0221ce,2bf7497e,bc91026e,adf0e25e,6269dfb3,2ced7d8)
+,S(ff549a04,fb86bf9e,3ad207b5,ac76a74c,2532a1a6,516327bc,96353baf,66269c5c,ef1088fc,633f639f,f0061bef,4c1e4c64,5897ba0e,ee229d44,d99be0d6,95e494db)
+,S(11c9ebb8,893b6534,b323909,961bb8ee,4c90c854,52848ad4,18fcf223,c80eb7cd,4b0229e0,89a1ca0e,d60ce2ee,590211a8,769d333,5f4ef32f,4460f8be,940a0dd2)
+,S(e86b3691,f8ae48c4,12a6216c,c3633f1e,88667299,f828d6b1,3ff88cac,e060b1b4,14d95d6a,61298fb5,1fc974fe,f3957db5,4aac7130,a1ed873c,cee5cada,6eec0c6a)
+,S(e5b9550e,eaeed973,5d8068b2,2c48bd2a,608fdabb,563c0e5a,6c2b2351,24c49d19,506ff679,2ea7c37c,254d7ae1,a459204d,aca23016,93c1598c,2449b758,6d437de4)
+,S(cab58ba0,cb15982a,c1ae5b51,ad65574f,55540820,d057e11e,f9c9f9b,a1388335,ae1c9e22,74958b33,2ce0f0c7,ef621a49,4d5b0ad,b04748c6,539dbcbd,6bd4ef18)
+,S(715e4568,9bd663cf,e9c83006,82fc7c90,5ae2da55,42b0ea4,40cbe2eb,36e1eb43,58ccbf96,8860cbfc,6b03f6a,a5fe05db,14be0e3f,3d6224bd,ce6eb54f,7372aa85)
+,S(df92f1de,4d22a7ee,6d2bf45a,5728745e,f59b6b07,29614536,722c7de7,965c0648,59e18767,f0e22894,be586a13,46950c03,88f1529e,cced0d18,50439dd0,e5bc192c)
+,S(885dd01e,dc8ffd40,c5f26d7a,bcecf670,7a791ac0,b2332b91,12e69cbf,11399808,4ad58276,6e763ddc,3f4ff718,569f600d,8c764659,87ebd74c,d506c2,ba886ac8)
+,S(d3fe74b6,17a1ab46,c773549b,af4bcbff,917c7ecc,fbedb63b,651b2197,89c1ff9e,b2e6bbee,5d84b593,d43467db,7372f40e,493a9fdc,c5d88fe6,5767f45c,837acf93)
+,S(c3730836,74b97237,66d9e9de,f7b6d792,93faedf4,f7d86301,75862d62,d4ada8e3,b669a24,a31f8277,8686d2aa,6b2acd16,872570f0,8e6f06b8,394f498a,dc29f099)
+,S(4ef2ace6,422be7ab,6a614e2b,fc43360a,2fdfcdde,51cb31c8,372a2042,2df4e100,86868f5c,37366665,fc6121e0,a8ab3a86,92ba1714,f5b8506f,9a3c3025,eaf9fbc8)
+,S(51110764,573c540b,813ebc4e,79d59277,67e30ed1,70a951b7,9ed05f8e,8d142cf8,ea8890e4,9668304b,63fad75e,33f42601,f2649a21,724fc495,61110e79,d7ddfea9)
+,S(36cbfeec,5491e1c2,f853d98a,275c1baa,e74dca33,2bd3d830,7d896607,c1cb651c,f67659d6,677b44cd,33c0cedc,d5886ad8,90eac77f,5b393fa5,6cba1077,54489eee)
+,S(d1ff3875,e1ef071,eef96f05,bc19d356,aeee18a7,f3892f02,4d07b43b,c3f09dbf,ba825e43,72b4a644,dcb5b8f9,62e0099,ab75ef9e,34b54874,f8d68197,ecbe8eae)
+,S(45e7bec6,75819b22,f2761ae7,575ebd6a,8ef87727,a15e33b,3edc7ead,dd58fa5d,3482080e,edaea330,240b539c,7d6a2e42,2cbaf40,f93d5052,28c773f9,6d80fa86)
+,S(8ca5d7e4,bd79aebb,bcc5250d,c86ac1df,373eb3ce,1d8cf2ff,5916cbb7,1e8e016e,1af3f417,afa5c1c7,89474f79,a0755bbf,a9a268bf,fdf242f4,c1599dc7,b7cb1e55)
+,S(56bf2e78,e7c43841,6324e581,7330a6bd,208edee5,3b5d61cb,a141f9cd,ec3002c4,e8f91e4b,3984a946,29060a4e,534bb4de,f345879a,f4884214,63dd0299,2bfc2fde)
+,S(af152859,31540f00,1be4a65c,e3f55437,f7be7d8c,db0283bd,f96bf71c,c004455f,1f58be49,77cf9b8,b7ddf7fb,74f7356d,62b8fe33,6bf798de,3dc435b1,86122b40)
+,S(2f4d8117,bcffeaab,7db186c5,7aedcb00,80d67b36,a560c5f0,e323b7d7,79be70b3,e0a50d82,80677ee9,caafcaaa,5d7d1747,3f4980c,73831f43,29b15452,94e71829)
+,S(bd96815c,e6b6d0f1,3688cc26,777c42bf,50fb8cd8,cd0aa082,94ad498c,620d1f4d,8a882c49,6592b186,b0a4071c,b0b556ca,27f2ec82,417aa246,ae24b415,8e4ddb23)
+,S(cf64bc04,e0796fec,112a5ef1,2c3cd909,5c041b46,2772b818,3e6656ea,16d046c2,6a05162a,eddf163a,fc2cc91f,34f7a7bf,41660b4e,a8ac7af5,698c259e,47e77e86)
+,S(3dc4bd0c,2c8253e2,4ed942a0,7f45c2c6,390a9d07,6d334f3c,80dfabe9,282a86c5,e0994668,7cc9c6ca,e2d04840,6d34cd22,e4f8e271,da4416dc,77e59af1,7057c43c)
+,S(40e00b89,e58de390,6a56133a,fa574019,51be1efa,6156baa0,45fb3987,94f7ff11,cf675e01,1f20efc4,24b882fb,b7bb9ca5,5a1134f,b628acd9,a597fb97,968641d)
+,S(5626496f,1f49190a,48929e9a,403f9f54,319a6b1d,301cf256,692cadc0,41301c27,21702c7e,2ee0efcd,b98a0170,110e3495,e23fe5b9,9674bb0d,b6f09e57,fe76b48f)
+,S(2a2c8f2c,a580145b,a9593b87,dfe0dcdd,caa3cef0,20b0e2cd,3792da6e,2f989a11,4aad23a0,e01f6a43,3f6c2a40,f480f945,d45c89b1,df42d67,acf6b0da,3f46bba8)
+,S(68a74703,a88b88d9,ee974a87,af7b1be5,1866ea40,ab4cae9d,90a4c2c6,5822b565,3660b266,c74b8be1,c98d3b9,b1f14dd7,e039b476,733a1322,d2d7d2f6,9ad59700)
+,S(b50ad45a,4898f77b,c5544dc1,cc8c0515,3b1e15ae,d043d2f1,40bf9dd7,29e413e1,1a59e623,3bea3be0,5713c06,b18badce,69b84693,636be68a,532adfa8,c617a773)
+,S(df18b016,3ad015e8,da7e87ad,e6fa5312,d665c696,e42e466a,5e9e2a82,18337c22,532d4260,eb34306e,691f42dd,c215ffdf,2f6cf3ef,cc1363c6,46b8921,ccf277b0)
+,S(405bc408,446bb0bd,49eb838a,eaadbf1b,27d413ef,a15fdec9,86e8446e,2c799391,1293bad0,ca26e4a9,f80dcdbf,1ccb70d3,fca9f403,89bcc331,e917d7e4,bf4d0b3e)
+,S(1230acd2,75b02450,255fdebe,dd0ae807,38f081bc,5faaeebe,4542664b,ec57bb15,aa31d16d,b145414d,acc29c11,b0ed9fe4,fad90a7c,451d9706,4f7ec6fd,75b15703)
+,S(4015c1de,3e09dc64,9ec990be,898db42d,1193e1cb,81956b08,da1c15c4,b9a2af48,d58b2d0e,553dd49f,ab07e5dc,c5a66543,b7dd351d,84375fdf,2ce1db56,8185e67c)
+,S(f3da2f12,7f47b9a7,192f00a1,5576aeb0,8bc36211,7fe1246,ad61421,85f79009,865ca0c6,4aa629af,b84f761f,b26a4938,25fdec29,ce1d4a66,9dbcd138,41bb83c0)
+,S(15f1e896,f7c7cc94,f3f921e7,6dc1e30c,f0d43b99,e9fa0352,42e56a4b,90a0c736,61e85195,215b864a,6f5bd52c,d0274526,dbc80af1,4395f9d1,ce60bf74,27c18b33)
+,S(3fad3455,470a113a,2f773ed1,258111ff,da926643,f7fa1cf2,8e9f7b80,dfd2105b,ffbe436f,a1975bcd,ee4eae51,8dece7d0,cb34aeae,ade738d1,b39f4c6,6ca08a05)
+,S(62bbb9ac,282329dc,65ae7b4f,bd15dca7,70a088e5,45850aaa,bc4c09b1,9177f92a,9c000eb7,f6104a03,51e1bd8c,d8ac8f7e,22578291,35eea222,866f2632,2573dd72)
+,S(9bf86604,a46cf253,324f5608,b7bc87c8,72939597,131f12c0,eae3482d,b1935e42,e9f2dd2,15cce5af,16149d3f,1116d79,74f51267,1b575f8f,6ab6367f,fede26e9)
+,S(a2ec976c,b5e72001,a25f95e,bbd7d354,2f3b174e,80ee3752,db082910,895f723,dbcb75c8,365c6248,c52a83fe,1c79d7b9,37ca8ebc,5060ba7f,60b881c1,964105d5)
+,S(dd91f713,ee212c4d,f94b1fc8,c7f246b9,cd162a9c,5c8988b8,f3adff0f,fdb0aded,efd02821,c4eb853b,bb8c55ef,c54f41fe,7e53582a,230d52fa,c18a53d,ca40c81e)
+,S(504e6ab0,c47fb3f4,b6b74a7b,1e67f6e8,c28ef108,62c2db35,f16f31cc,e71d423f,e7adb424,3200ab4e,71e50453,2d849315,1eae2247,50ff7a59,52bf2656,65b3ded1)
+,S(1a9ea377,27fad3be,155f7ed5,1caf01ab,1d30195b,1629fba0,dd04b7af,c1a4b8c7,2140f144,e531dab2,22cd4137,921b4720,59efbd57,c1c97367,ff2083e7,f2420206)
+,S(d76324e8,31920463,d5d94ce8,f9654393,89d97ba3,eb5e91ac,56898343,397b34aa,189631be,df5d46fe,fa8f60fc,a8b22fc2,ac987d23,b21ff267,560863,6ef3a72b)
+,S(de87a315,50a6f146,e681d8a9,f9a7cde6,7da28c7b,5cd7a70b,703695e2,3c9bddfe,d33a05e7,77ba9e6d,155bab56,2b8cbba,27f4cc63,13038f7e,d193137f,d14b8502)
+,S(d8381e05,7fbc1910,8b5a304,fa984e0c,cc0f5d27,303a3287,9ecfbf73,a1137974,1dc513d5,ac96238c,79d8f740,c855e045,e5c4e567,b3f44744,abb3bf46,ca394e8)
+,S(69da86a3,b355f0d8,138bf809,79e314ab,7cb34e64,45be4842,b8f3810f,11b2ad66,7db776df,68bcac9a,c0f8f55e,8ee6a7e1,771d4148,1f5d953e,e9bf832e,cf713cfe)
+,S(698f8b8,66093996,e2e357d4,d671d21b,230726a8,84079fbd,766332a5,4e7f18f3,5925e34e,dcab3458,ed959aa,3903ac93,c39b8ebd,1c562691,3f844150,d41ad20a)
+,S(37274120,6cb7047d,aa97274f,b12aa8d2,e5eabca2,f3ab0b4b,daa3fd7a,3d5365df,30d36bad,c10337a2,db6c30f2,e8876226,5ccc6a1,7104460a,6f438a9d,3e8e9300)
+,S(4e8c8df7,30f5d411,77355739,84a530b3,8ca4012d,3d4c8ce,f6c00689,b72cbeca,d9f7aed1,f5073c8a,8d2948d7,86ce6dd9,93a405ba,393a20a8,719287ce,797163)
+,S(1e62c3c7,16e4f6ca,77b6d325,8553a5fd,59f67df,f7295115,cd6e4bb1,19b4b5aa,7df17da2,a7397df9,e314fd8b,6b03d293,ff7325e2,769d7477,ef3802a5,7d8010a0)
+,S(c79f25a4,664cae13,d0971832,fee6a316,ff338f15,40c1f3e5,95c707c0,6e035db,5ef7879,c46266ca,7b342264,1594e81,5c189ce0,f057f187,e43a61fa,10330e85)
+,S(768a47a3,64304a44,34b097e5,132edab2,b9840584,6e543dd4,755038da,e355cb9b,79896b63,eed7e866,32c33041,d037554e,551f2a73,6f2c2b35,4dd7d7ac,f6562344)
+,S(131671bc,604d622,eea3f06f,200edb52,f7223fc9,3fc8d4e5,496af1a9,f72e56ad,5a6614d3,7985f503,2ad7a53,9b99ccf7,7c453f94,3975983c,e948dfe0,ffb867d6)
+,S(3b9e6127,48d11bfc,1d2d0081,24e79a9c,604bdb94,6b25ac57,749ca6ef,302d7a58,379e7cc0,fecf689c,f905e84e,8516388f,3e1cb41a,aab8192c,aa024de0,3332cc70)
+,S(4f9fdecd,10e8cc9c,f5f2573e,a2fd231f,b1313468,f516af1f,76af0eac,9ad51d76,26d6731b,71382ea2,1172142,fc5e0f5d,d0f7afa2,c9409fdc,62bced0,e8246194)
+,S(25f313d7,ad044b0,538bff0a,ead5c689,d5fafec5,7cddd9a8,31b9a4f,59b848e0,f28c77b8,9202c9fe,e64c0580,75a972cc,a4839e20,42c32b66,517605d5,87470c40)
+,S(24a8d407,e26c4cae,3f8dbc18,5820f345,81bf4355,7ad036a5,200b9b7a,68bb8d6e,fc6a5d96,4fa25fad,4d09a1a1,a4ec4697,818e46b0,8cdefb70,367e3453,2462b98b)
+,S(ef4df8ea,5cc100e2,768aeab3,112c7ac0,6077b754,75cab97,df3ed51d,6d397f4c,fbf555d2,27eb051f,54965eb3,fac1e21b,82d216ec,807b1485,5074ee56,1ad70883)
+,S(80c9d594,578f6e4,e8462dc,228cd99,9b621493,63d55cf5,80e1c524,627055e3,b6d5bf04,97b44e3a,7c7e52e3,28f63214,5eedda41,f80c44df,c7ca6d29,77436f24)
+,S(35961cd1,57bc1774,40dd41b1,6a81e31e,52349a5a,e4085248,fe4a19c3,b10f7a45,b999ee7c,b32f1051,f0e7eb9d,4689fb30,fac7af1e,b410d53a,85e79f27,70a7566f)
+,S(4aa49d09,32a7fc5f,77a76a12,16240142,596a82d6,6b59d388,24f0d8a1,e7f70948,adb5b12a,5e40bd0,a14c174b,13c242c6,c5f25ee0,642a6265,60d293d9,64a4671)
+,S(110d8320,a9b2c5d6,5b06f0c0,cddd243d,c83cfe4f,671db970,d1213780,f6c4af0a,a97c2689,5c7b6ea,a3a02564,d2af735c,9b43ceeb,9f6f2557,3fc468b0,467b12a1)
+,S(d01abcdc,a363b065,d8d2bb08,388c3545,cc8ee88e,90ee66c6,18a9f575,c0caee80,317409e4,a70e30ac,279914d7,135f9d18,e19fe520,4c83c472,5f86a614,1863b4f9)
+,S(cea07679,64506753,8dc24b68,19bc3332,f320f16c,61eb7b85,96e25bc4,1499796,edff87c0,67e97ced,4aa330e4,e9dbec3f,d800934e,ed7238f7,8e97a46c,a6ad9ea3)
+,S(d4463e7e,da5fcdd8,8ef0133,a5dbb1ca,c93aefb5,64581da1,3acc3871,cb94ce1f,bb1efe84,81dff341,dc7a4a8a,c2e44ca1,b071bcc3,81e7ecdf,4d4b7edb,6996547d)
+,S(89cb575,5e9323b8,7771a2d0,58dc78ab,ad8bba70,6f845a8e,9a45a16e,ffbca1bb,f7e743f8,a24a6728,f8e8051f,5a303d71,f1f47059,202d332c,23f3a293,9ab97e37)
+,S(d035032f,8e8e955b,b71006d5,a3b098eb,7dedb73f,a15d0d36,7e01c390,18bdea9e,1ba4cc2,fbabc437,a9d17ff4,f3c59f2d,2a416d2d,c07c0c81,c3e0a180,260bf2c0)
+,S(fec9ff6a,e37da167,208b1247,b754cda4,6c6eb072,8d6b65b1,3754e2e2,eb3223e9,305400aa,27a59f3f,f19d1513,3c5a3655,464c6f39,94fd2ec4,562d7f85,fccfb767)
+,S(3cfcc8e6,9e872314,5853743f,efd2802d,bb1a05dd,a03a731,77daf6ca,da9007f0,42b23158,fd0c1401,29298d42,a6cce708,743924fa,624d582a,94b682ee,4beb222e)
+,S(4438bc8c,f41b7916,dfcdb038,5c9b6806,83362409,69ce8869,c294990b,cd340e45,78154e51,a4dd31d5,14885a18,b7185fc6,84c699de,2862f480,937c9697,6155ae70)
+,S(d2ed1c29,faf76c12,fb15b514,6a31cc2f,c799cc4,5fb226bd,c38d3b0,176b5d52,54984b30,96d0c2ac,763654b3,32666baf,82c04562,d0d92310,cce6db16,216bb219)
+,S(37f21b9c,d1243170,5ee6db23,eb578ab7,31f4b470,ab07e1e1,68e69bc7,539b170a,afdc95dd,6379244d,cbcfc811,54aa1917,e8093b54,8ec2be73,5867574a,82ec10cd)
+,S(73fe29dd,54c8584a,7d25641e,c62f257d,400f013f,763c504f,f0a3ec02,d1ff8067,197ada53,ba57463e,e23b9831,ef8a6a69,d3d2f84d,c7225782,e7569603,fe1d1c83)
+,S(56b27676,f0e88c45,3db1819d,36a73d03,95aae3b6,59f612a9,fe28714e,20bc73c,98660256,fb7d7d75,aca14107,dda9e7c2,28459341,ee6de72,9e463c2c,17367149)
+,S(fd898f2f,e7f918a4,61f8e57e,f30380bc,5192a5d5,e1f520a0,5b99658e,8d57bf54,6861b3c3,5b0f6943,48bc4886,15eab8b1,36630618,592ac04f,80cdd632,aa63b620)
+,S(fef75974,2911ca2,8057e141,6288b351,ccf2d490,634c98a7,a80153f,e9dc6929,9d5d0031,3417797a,83f0ecb5,d4f45890,d679660f,b1b19686,ffbe060e,deff716e)
+,S(2c4338aa,18a27e60,d1daaa92,3d837414,f199f585,8d33b66b,471c6562,c8324bb1,13c28f36,25f2b273,8646cda3,5a2a729e,eac1de3d,80430cd1,6a0f3a9a,cb859fe7)
+,S(53d6a5c1,deb56159,34416235,c2f597af,f6e10ed5,444d15c5,d9ca82b6,8e1820f8,26a5d559,cc04f53c,6b1ff3c2,4d5a62f,f63e50f4,b7c1b619,9dc54c20,628364c9)
+,S(e432c338,e550a635,79ab747c,f01f3ffa,9e39d066,b221fbae,8b44429b,873decd5,297e10af,3006b09b,80d0ae19,3c1e8b3a,80ae9051,3dd9944a,444b2c7c,42d0066e)
+,S(a61c5ac2,60f3048f,92cc2af1,6d3f6a4d,696e543,f044192c,9d840962,493f5cf0,1249d4f,83608025,331ab42f,bbe338b4,727a5ccf,b086aeb3,f1d9c96,26859158)
+,S(a2f37e43,c3c2ffba,c45ad316,e912b586,2a9ac698,f85ea54e,98fe9a6c,e1fa038d,93e95000,6bd329ea,57397b25,71dc2e78,a466c4f8,76ace5fb,36d945b,a6e9b24c)
+,S(b2257994,44c2ed2f,3114185a,6ca617b4,bf4ac15d,40d73b62,44a81852,d30260c2,fd4607f1,3d4ee761,adb6b139,3f87bf8,e8b05156,5561d650,a47efacc,5ef01dc3)
+,S(d0607bf1,5317662c,73df9f40,805c9b3e,208ca1e,7fa8c04d,ab9766a2,8c7fffc2,f06da1e2,7e721799,41a9e128,e25ec992,eb030ca3,6161c02c,8ee31d22,388bd999)
+,S(596aa391,d4831e61,55d80829,35a85bed,a1ea3190,a499ec6,374389cd,1bd5d8c9,cd9240b2,9845911e,47ad147e,ae55a0c8,639b994,8d72d2f2,72e89fdb,578d4ff9)
+,S(433ec09e,19b7543f,a460de41,e70f63f6,6097ece6,dad9b5fb,f4030c7d,bc5862c1,dce03718,a609efe7,1858f6db,184708d1,9275ec2c,76d5e93f,e55a13e7,927cba95)
+,S(343b03eb,c285418f,ad522784,f91707e4,f268451a,394e85d2,824c837e,fa48900a,e6595234,643667c4,bb885b8c,1ced3a29,a71212df,f2904549,ccb91de3,75787922)
+,S(6094f67e,41b23bbf,4d594e97,b53391af,f10a978a,19244189,63814efa,ccd6488e,ea874289,dd943f7a,c109939b,8fa545f7,58359804,ad81ed0d,26cef135,cd138954)
+,S(cd0c3700,bba5677c,8d0ff53d,f06bdbf5,c5adce29,64921c9f,a1591c91,ae0a375,720b88ac,9374709d,1919854c,237cc5fe,dc53b14,3897e4f,3502af17,d7510c63)
+,S(d37ef1ea,95ae727e,5166dd59,bf5ee82a,1f215720,79d82e25,6369464e,d9a87cc4,59c5321a,d700c559,c92e500b,1d3a4589,15a88575,df9774e1,4bee7b2,ccf9bad8)
+,S(238158e3,d58e7618,95f7a0b1,cdad8a24,3e19bfb6,d1c65929,ff08e766,e62c2b12,1f65fb1,8969ccb7,27d50e46,39c7551c,5b3f25b4,90b7d70c,cc5e4ae8,7293a0b)
+,S(260a340a,5245a039,4a2f0908,f2912f0f,63ed68b6,aba66fb1,951128dc,9d542512,d30646c1,e8aabbd5,e758adbe,980715d2,b0b169c6,fe09c502,3beb7f5d,b5422be)
+,S(7333eee5,d111e138,f6e0b2d,4b476ba3,6df4357d,b28c8e7d,f232c61a,6c3067bb,d427a423,a4de1e60,e8b73098,b8582e0e,18923637,c44c52ef,fa0b5f90,8ccf786)
+,S(c411f215,dfb87aed,be2530c2,82a61e5b,37a0df71,1ce61fd1,25624b44,b7673eaf,ca3d89d7,d136fd46,161fdbd6,3f0b075a,afe90855,51e075d2,391f3206,382a0441)
+,S(275b0a1,9dd09495,78298aa1,c4b62ff,11e715fb,6c3740fd,80d7ec03,3f2635e,30dcc412,faf3f389,c9919b6a,f96e7b28,6eb8abb4,ada80525,b9ca7eaa,f3ce74cc)
+,S(9f774052,6818bbcc,b068c11c,b400eecb,da60c4dd,22353a3,4145e3e0,91f81617,a9e56fde,8f38116f,cafaea93,35ee3688,50da5107,a5a3e571,92f2bfc,1b55033)
+,S(60fb35ce,f1098201,353bd7e6,89b42fc8,9f86dbc6,3eb400e5,3b8d16f6,28ae4358,1906ce1c,6a6f41a5,2f45424e,86633937,8ed56578,ffd94174,f4f85960,ee0f5c2e)
+,S(1390a621,f999c3d,1737c72c,3235e542,99ce4796,d65c1ec5,45f60b71,19f4ae25,8f1cb557,b101a876,296881fd,5d30556f,55d739da,5122c0f1,43c04add,3485dbad)
+,S(15f372d6,9be09ee3,8d43c453,dc488f17,42f53a7a,7923439,66946210,60f1cfcf,c6007ae8,a836a1fc,b5a4c0f5,e584fb7f,2c468d68,9efaefa,6303bd6a,beecb05d)
+,S(bc2b2a76,17dd9fb9,e6d60931,ef2d5755,d33c7174,7e8e28e4,be151b42,14537d80,2582a69,b6e9b9a8,c5bb4b79,4ffeef15,96f383cd,670eb524,2ac4e7ba,375509e0)
+,S(5f8e0957,61e307de,26ffd39c,92410937,5dac9c83,7a5a62f0,b0864cd8,a37f2686,d342dc84,7657354d,d524b32b,62f5f69d,5b2ecbfd,71831b28,565cae36,777534c7)
+,S(5451cd91,9e849ec,b8dc75c7,9f939957,69a39234,38159544,dea98155,cb001c5c,e00d1d37,f9ec02d1,ae8222a,744381,4f16220,800f84d9,17cea9d5,9a9e2a60)
+,S(737b89ae,9d9951da,d2b489bf,f2ff714b,dcfb13fd,829160c1,39875a46,7343adc7,ef9e2ab9,f8246113,726e5be3,5c1da48c,a6b4fca0,53d35dfa,8a3d826e,e48c5ced)
+,S(8b80e227,9b0a91a7,6af48413,71ae6fdc,68f4f5c5,58de6efc,1ec0034a,36a26000,909b49ed,6ce8c555,25441ab5,1046956f,d25a3a73,5d979c04,43ae5891,fbd43df6)
+,S(9db9379d,346cd59e,ed0c0d44,abc4baa0,3b7af170,9f034c79,151aaf54,69296780,1a8f9e50,918a104d,b525c439,bb16b64,179dc4d5,452c86fa,e87ab757,61e97031)
+,S(3aa7c8c0,293e5c9d,fb50b63d,340851a3,88b1641b,b864cc08,fe776500,76f98d0d,974dde95,7c958b70,e0ff9399,d2d03da3,4dfc3437,c1ca557d,2240fdfb,3ae1d36d)
+,S(26cfaf0,d27825e1,6014e5c3,19bb907b,7a3b777f,b6bc69da,5cdafec8,40d5b4b5,2eabc11,73729fdb,d31fabb1,722be99,e5b4355e,8c2b4bef,53b21dd8,3cf81ba4)
+,S(ee495a13,bd1ba28d,cc26fc72,4cbfee95,3aa72852,57c883f0,cb09d6aa,1bdf3b20,b340a2f9,978013ce,8275b7cb,3fad5c1e,857bc6d7,b43782f2,1e737681,fb39b619)
+,S(2e04dc81,831bb465,59d6c354,c4c6105f,41f61301,769d6006,adb290b1,b75540c9,d086cbba,4d221cc3,7cc96b20,adceff4a,6157ab9e,686d1fd5,5d56801,dcf4b779)
+,S(557b5b41,b2b2e4c,598460ef,22888da0,aa2ec3a4,7980247a,e8bd465,a6e64c22,6a3c62ef,f80832ab,83a9d698,f61f7903,b7f64e41,9900950e,c7d79369,403d57b5)
+,S(a0ea9ddc,e2797fbb,d384a1a,2c26d7c0,edf866f6,9addb763,dc44b112,dc1cdc5d,a085725e,d947778b,40a2baee,98dcf460,b084aeb0,3f96658,4f990895,b15e3378)
+,S(1acb89f7,55a51f58,d8ed16e6,99a2294a,b2f4bff9,2fa2d1de,9883061,4ed4b5fd,5b243df,31c3bc95,79c47c57,58eef875,c18bb896,424c0293,22d729a8,b7a32a21)
+,S(fbced690,b601e450,2f0ed32b,8c2ac448,31c4b327,a4ad9648,97637b08,2f3d3912,3235804b,549210ae,8cb5bdae,e5b1b474,e682cdfd,8af4acd9,8c0c19a3,cb5c017a)
+,S(75339a0,82043d85,54ff592c,186a183e,4597a0ff,48f280ac,d760d134,9dfc6b5a,dbf1aaa6,8bd5db0d,8cdcfee7,de6635b4,b7877ef3,6da38418,5688fefd,dc584b18)
+,S(d83caf1b,2994a763,77a2bba0,3c644e48,7f170d5,845a7d17,b8be8bb9,84b0ad1e,e479d930,6d2a405e,f0be6418,3d4f8dfc,a7f58ff,95df1e38,c92a401f,17745879)
+,S(35fbbe06,39d9fc5e,d595a67f,442d7adc,ae6f566f,4641fb76,149d6c74,42af49b8,5eaf204e,6217ef53,1ab09a53,e6cf4d12,46d6c4e6,b71ae8ca,4e821474,94d00680)
+,S(d5563a62,bd6fba1d,e252a5a5,9c03bdfa,6c570145,71cd1a31,bba43700,2a7c1251,2f83b6a3,2efa7b70,1b4d3262,9e7a8755,8b681d17,cff0b992,1e102b7b,f851f543)
+,S(8f2a2a14,a834ec79,107153f0,ffaf8f46,5cbb46c7,5a72d07d,5e2af498,f3359b75,30ac7456,5c946e21,73bdbd9c,dc999e79,260445e0,dad2467b,97234789,a4de1184)
+,S(74482ce2,45605bdf,f7d586f3,c2e343a6,8f9579f2,543f7f7,22a4b352,24361b4,b2cae040,9ae59ee9,bff4fb5a,34847ca3,e4acd880,e35e4d5a,5ce47b70,3cc565c7)
+,S(ca0c158f,cd362d9e,3724bb2b,f07305a9,5adc440d,24270efa,2a8f208d,7f540295,9e1daa26,5a5effd1,29f62b,bf0f5c60,c0c2b73a,58ddbd99,c832125d,3927e7ae)
+,S(9c5403ab,b8b04f47,5eb4ac6b,5d526784,8d237d3d,c36e8698,d59172c8,a9d9e268,89cd0c87,9d02beeb,ffb6dc2f,fa882711,2071cde4,ee71a7cf,669f64b7,d463fbb5)
+,S(e6bf2997,5eb88332,64169169,62f49080,29072e85,797fb699,df05526c,c4ee0de9,ae9de06a,1952c472,6047bbb7,b967e6ac,db33a123,24b07165,d2caf737,3fa40068)
+,S(ae4ec439,e4392deb,5e1b1565,2310d52e,9cf5c0a9,8753a95d,d7b51e1e,5889a744,1400b900,c3159d2,25ceac35,4e566d2f,4e6f057,f4664b8f,465b0f53,2ba61852)
+,S(c6351ec4,27d1d6c5,64c05959,ccee21d9,b086a881,3f4d7406,ba8d0ec8,6cd139dd,b7173d5f,bec7a8da,89c4cfbc,a911687,f39a455a,9293640e,7d473bd3,ef2dba3f)
+,S(fe44937d,a54556c2,a50d9538,98abc367,6da5d722,6c6d3379,20092042,d1219cbf,c5c2e2a3,174fffd5,74761486,669b0cab,5a5eb21e,be669ba,c5c5a4a8,46e404b)
+,S(760dd500,b18aa066,19a3977f,ddbb6947,d092649e,485f2b6a,d26d01aa,445588a8,cac47a22,6da2825,38126d62,38751a4d,93daf13a,420be353,3fc0f7ad,db68c20)
+,S(8bdd111c,e271b136,45d00636,f2d33c92,df570cbf,6bbdc156,69fd898c,ce4ea8ff,884f1430,8ab84796,d61e557d,abb4d15d,15114c0b,dc770388,6ca3ff0c,622df5ad)
+,S(406c6d3e,79fed3cd,16d616e6,7fe004b5,4f589594,ecb7ca6e,24210224,c5b4eeb5,aeffee19,f82cee83,d4796668,8545f0b3,b8e61877,f34a0b23,c6a3573c,b98c9b7f)
+,S(c645ea95,2580652e,8e05df6a,3d208df0,83e00eaf,50cd7d4d,a7c51458,324a41f5,8b4b9cc9,d3f00fce,332d2ae8,2874787a,6c6c8008,a7577ad5,d225f951,82e8bd2d)
+,S(813cd833,dacd8916,76af5b48,5d1ff72b,df03f2ce,c7657e6d,249e79f1,f12d7476,c364d1ee,f5f1d5f2,7438c58d,ee926c18,7162cc71,383e9524,b80cbae,3cea17bb)
+,S(fef2337,cf88e025,d70e2a44,e68c22bd,95371f36,14ad9009,f2ba8286,290495e5,b622fc00,8b0a0f9a,9a36ddeb,ce10d871,e5dcd7e9,65ed2784,21ab5891,6aaf7404)
+,S(8505810f,22888b4c,c8bb708e,c1e4df79,a3a361d9,5ac2b259,acc18d68,e50b0952,b80fd8aa,b7196e00,3fe24ed,fc6742d3,e7b2115,967f838a,2ef00345,3dbd4d34)
+,S(b7aa2500,c77effba,3e93a4e0,b09a0f52,92240fef,4282cae,4c8036ab,2e5e5561,85823a06,1fcf2328,2dde378,8802d211,fb2cda3c,316dbba,d30048be,1295d7c)
+,S(6dd2e626,181f0007,6ed53763,32493f55,a77cf5,3c268524,2be805c,7da06c95,2a6a76bc,b3f96c70,78920303,c5ed3208,170fa969,6c5264e0,c3cb1d86,ca322da6)
+,S(ff5181a7,ab79b40,a3afdd39,8ac729cf,e49a6a23,2fa46f9e,4ce0bdc4,696e9f9a,99c20ca8,b11b6a05,47e81074,8a34c606,140eb3c7,ce5c843f,60203249,62858aad)
+,S(a5dfb758,32aa580a,790fce58,b4c04a1c,9de648f4,19ec33f0,92491275,e8243ef7,78a66f07,e1466785,edfd5523,99fd1935,1ccadfb,e3b25bf9,d5279ed4,1d0b9fd9)
+,S(fc5e4688,ea6e4553,610946a7,dd3497e,a5f698b,82d6b439,6a21e082,a9aabfce,d1b32a9d,761df7cc,3d69b5be,d7aac28f,976be204,7b2aff0f,2824fb00,b70d697a)
+,S(179fb126,a3cd9931,f135cbe7,2604d3bc,83cd986a,d9a7900a,17436875,d3507016,dc2a57cb,b0bd39d6,c8daf32f,fbe6b300,52cff0d3,12e84b72,c00a7d76,3578e749)
+,S(af37b7e,cac16810,9c51fe45,b2d6da7c,3505c1e4,bdc88b10,5a386fcf,e30a6c1b,4dc24b79,61e9199a,f594974,32c9352b,4ca9d735,84dde4f7,a4c0127f,21cc17f1)
+,S(62d66f6,b534cd8a,66236ca8,5b7de9a1,eeb49aa6,e65e5298,edd1a99f,96fb1dd1,83c05dc7,e69dcb3c,86dab3d1,153d93f3,e9861239,6e25d3f6,6a6d637,248f237e)
+,S(6a40f396,1587f5ab,89280eb0,568ec9c8,6958b4d,d8a379ec,2ce2489b,7e451ece,74972d6,1100a0bf,7751a400,6093ec78,1fe16c82,baaf0e69,74142a17,a405da36)
+,S(2838f8f0,c6e20e53,9ecba383,c6e07a2c,5022d436,904e5da2,b91b283e,40bbd6bb,6bbbf962,2b7c41a4,6b72a30b,d051551e,e1227362,b0664dc2,509404c2,819b4985)
+,S(21e927c2,82cd4635,c9c19c00,f18ddfe8,7aa9b60f,f3000c3,2019871e,a443333a,6834c23d,e05bc59c,f6fc64a3,af61f049,7c247d86,f76a2ada,7771dd16,999febb1)
+,S(d9817ec8,f88f9cef,92cf9df,1fa9099f,3f10ac61,fa641ddc,9f36e854,98822571,53c57b49,4d84c3e7,679060b7,c7c8d4ad,f2db0c4c,c8cabbc7,5c29ad15,80b963a9)
+,S(6eaafe92,1994519c,1c61bbcc,c1ad6ac6,f7a2d0b4,fd88354a,6a458e78,17503e30,f29a7f85,f3e91dbd,9e011055,f47a5079,7f55fa4f,46a6b188,ea4694d5,a086b4e)
+,S(2bd45f,1625722,2352b5bd,a6d8e2b8,e7d23c3,f8497fe7,348a8d59,97b5cdbb,b5f9d5a9,8ed6387a,41397e54,6b3ff76c,4c6bf446,3093e979,2d1f8748,7a6b725c)
+,S(176d02ae,cf4f1313,ff804e22,326d6a13,8b641e2a,3fd4d38f,2c27a35d,f1f456de,5ac13641,d2f19a4f,77097a4e,8eaae498,2afe9494,9188e411,e03ed031,fed9eb40)
+,S(6d0bfca8,6296255c,1fede5ef,8d04dad1,2b6625fd,7bc127f7,3f6b82d8,b257ca8c,3c5c434a,81c17be8,8101b5d5,ead55e60,9d9dfb10,c5ce1b41,484d5fb6,f595fc10)
+,S(b67d3fe4,f6617324,a4063fc1,142ff4b8,2a605a26,8b8fa146,697db96d,570ecca8,63ed93c7,a95a0ea2,9ffd6090,5c096042,b5562997,4957f47b,2d5bca14,21114bf5)
+,S(c171bc24,fd80dd05,4eb3e3a5,5f50c9a5,322989c8,a1213179,be4503d0,2fb1f1a,2ead84ac,7528e7ba,982fec81,4b68ff7f,7aecf675,281f126f,9f41a7c4,5deb2e03)
+,S(c4936f57,96269373,21abb8d7,df07e4ae,48ae1f18,ee1f8ea5,6682ced8,ec911593,52ea3664,1b441154,81805582,dcddf216,80eaadf7,4fb324dc,67439b03,aaccb1b2)
+,S(b0a38c84,ecc73fce,200658d3,cb43cbe8,e0df114b,5d1ff7a9,33158b67,b404dae0,40c381dd,fc600cfd,ff24d7c,988cd4ce,74c18fe,130f4248,2ced320b,b91f2ff3)
+,S(1610da0b,300d59db,d8746d5e,17d71ab2,e7e9c1d,2b43b688,656e570c,60336b82,8923b2e2,fa3fd34f,eff4ad22,7f9f6638,745167d8,fb769b34,b3bb7e12,a25c892e)
+,S(f6723495,10cb5b38,da909d65,333adb86,d22ed855,74d24d35,83294cfe,ac88d999,6f726bb3,891187c6,3c74392f,a1e3ffea,f55b9a9e,76e3b584,1d13dac2,e888c740)
+,S(3cda21c1,d048a768,d2863f4d,1028459b,c9a91c31,2626940c,f762c074,23d85796,af05c34b,4a15e00b,b6ce97cf,501316a0,85ba33f2,cb536f27,324f5506,54a8f03a)
+,S(24e1bc3c,84c0ce3f,52e1443c,1ce82330,b69bbdca,f09724d7,e616135a,d9f99c0c,61385dc5,e5c36e42,275109b7,9c22940d,3ee4c679,99802e67,3163c114,be7fb0eb)
+,S(f9511548,94dc4fd6,e2907990,7da4a5d8,ffff1eba,4fe12201,a3ebadec,2620a2fa,d40669dc,1eee21c8,ee1110c2,def5de0d,4f08ca55,6758dd14,b6f3ce64,46b2fe4d)
+,S(c6808c80,61dd7e3,f6fb5ae,d129d23b,c2101af0,130537d5,4bb99baa,1b8ee268,2fb3e2aa,77870909,993f9d91,bf670cf9,bcd5abfe,26ea9990,6f9805db,c8707f84)
+,S(ca952b81,f79a35bc,effc9f2c,c66c9928,cda6330f,42c44f9a,3191ea5b,5f473c3c,aa53ac41,f34fee5a,2028f7fa,8ffd5106,23cf2dfc,cfe5a1f0,99ef3649,d7f846b2)
+,S(679c1de6,521c29f1,9b0d3c5b,ab481e53,d01ec2ca,c719fbe4,16054bae,593c0592,61d4eff3,5daff1f,a4bb875e,bbb42722,9cc996d0,405c74d0,6ef0c6f1,31ade7c7)
+,S(6f7ac468,d33618d7,8c59d849,3571abb5,1d445a43,af10fbed,c5d25b13,58170f76,9187ac46,f2076aa,5cf4de93,52e5437c,4cbd2220,d8070172,807e84c8,10a05090)
+,S(f4ce85c0,86a4fb78,2f081fe5,379984c3,1a7aab89,ef9ac386,a6a8a11e,596278dc,89d6d9d6,75983a6a,d1dc4c45,a3dafc1,cf951dde,2a038261,b414eb94,f9899886)
+,S(18b0b225,19360c19,739623b1,7850107c,32ca6b61,295a8161,fc9d2e1f,8d1e60d4,4d8fd58,98ba10a7,3aadae04,a9ed18a7,8c48bd94,7825f0f3,b42685e0,d391dcc9)
+,S(3f75a866,537d022,f6b9b18a,330ecdc0,bdfa7aa7,5b213f4a,876705ff,635d8eb,fd0f335b,b4f41615,7ea2752,2b8aa40e,dcdcacbc,1beaa051,97ecc250,f0782cc9)
+,S(58310e74,290245af,c4acb91f,20b29db0,f5195039,24b9f76f,16952141,875d0124,f79e457c,364b374b,43c8d6ee,b408cbb2,94fe8eae,c6914427,83a74757,c8b27f98)
+,S(90692ace,4fd3c4cd,3c808952,d5ea0781,2192c807,4619b8aa,4274426e,feb7f6d4,3147db2e,7b3b8506,625c21bf,8803c5f4,e7250b0c,4523a6bd,e25e874f,76d1622e)
+,S(154d18c9,6c441173,ba7b8d2b,5099d9d3,92ae7e0d,57419144,229697cf,52384f73,1c196518,31ad8cc5,ea72b3f0,ed0d30f,78b773a8,1f54fc37,29043a35,6fde93a5)
+,S(311ebd4f,5f52bdca,290dc97c,73102ecc,421a0b07,4c53c052,11b0bfc7,3b6eb94,69d17492,eca55f53,72b04c34,6696454,ab779ddd,8c7eb07a,34c8971c,b5168019)
+,S(f62a716,6976f82d,b62e48a5,1eb45464,c845b71,6436d639,a9aa0a06,feb57d0c,a0b93a32,3fc8c047,3c4198e1,5ab5f499,e3eaa4f1,4bf99a69,b3ac303f,34839448)
+,S(c23e0cdd,5e39eec0,d3ad195b,19294bc4,30c11eaa,67c6e87b,a4e2a88c,60998ed4,a521d1b8,8e409682,bf7b7daf,ff45f697,6254b8ce,6c63985a,ad2d9cfa,559208fe)
+,S(742ca7fa,a8b4a98f,28040f8c,15db6045,70353954,b862c223,c7979eb2,3443ebfc,251ef412,e97a7e21,292ad45e,46c40774,b97a78cc,7826e45b,cef481f4,a64b838f)
+,S(622a14f9,7bd04407,63eb5d52,c15c2f3a,ae185395,e89dda70,3cc4c439,60c5592f,e5db52cb,ee60b303,69da59eb,87ce10c3,c485c239,ae1c849d,32e0e239,df4d4d46)
+,S(3d6dbb7b,4e28da6,b731c67a,6c038107,c2ec325b,6b10e31d,9b7d5273,fc81e20c,f0b619ac,febe82f,8c4caf5e,6d4710b0,caf89c2e,1a20073d,66ebe05d,69fc2c9f)
+,S(d450d441,bc191b5f,9c2556c5,a56d20c4,48afec13,c7e4b9be,320ddb90,b4c320e3,661be65,b5eef8e8,b357f521,d360379c,585c9e71,c27bd038,f2d63f72,6f6606af)
+,S(82f9dd1e,ddb046b2,2b33bf19,2970e41f,c5df0c45,f1375133,fe1b365c,eed1ec7d,cde9eef5,554476e5,e775e829,1d38a572,1d055c4a,925c7eff,35a389b1,388e18d8)
+,S(5227c547,834a79e2,d6fb0c3d,720661ac,7ec0e2ff,5a1480bf,3f31ac82,cfb2650d,dca309ff,621c591d,aea1bada,bb1be76d,2fa30a0e,1c83b4b0,d66cbd59,7612c0b2)
+,S(3eac813d,7e2c8034,f1d58217,c4372a96,a1fcae27,b29ed9c4,e870034f,7faa78ba,94005cc8,7b8f7aba,143573b1,79aef942,c1519b3,9c63b58e,e420a875,7c4c8b80)
+,S(9373c48b,50fb0243,b42762e,3b80994d,61986116,ba2c0677,a38daeac,7dcb21a0,295f694d,70f8295b,cddc1c76,141ed17c,a1cd8e5b,79909785,dad43e92,9247b250)
+,S(14019457,db851046,42b51ece,50fb8d94,201a80e0,f29d52ad,1af35e4b,8d82c6a8,c47d97c9,df2816f9,a6147dba,7658b5da,f9588dab,8aa393c5,8f721786,9c498b9a)
+,S(1b01f484,ce98064b,f60333d3,65d926fe,ee1cead3,c1497c88,8409be91,2288890b,6817b86a,86c98512,634bf90b,564ce109,13fad61f,c807a256,36a5d6aa,7f2d6005)
+,S(5bad5660,f615f36f,6bb9ff3b,19c07b74,9519caab,fffd98a0,4520802c,88b6cb22,4d23780a,e6796a72,324c369b,1987465d,90540788,88987513,13dea0cd,69f90dc0)
+,S(7044bd7c,29d2a7cd,d662bf16,90d5ee35,93175691,b62d68e3,f8f66ef5,8304c509,f263888d,52d74133,60ddfb1e,d1c09b9c,871d6eb1,e5833949,13d24973,5721ce12)
+,S(186411c2,f90c5402,6445dc4a,4764318a,f3acd811,52c01dcf,d11d13cb,a8c02afc,462b9556,1bf18dff,8a4211d8,89f420d2,122c4ea9,7fda3d23,558b6304,d25b7aa3)
+,S(62ea528c,185fd551,745c1512,6fbfd40e,5f8933de,4e1e3b95,92a93b0e,b762ec3f,276da42e,3c8a6755,6be49e00,2e42522b,e3b95e15,39a4708b,36429a94,4f6a86a3)
+,S(5e2c7621,efa587ce,bd3c2392,a1b8dac8,50b15316,c42570ed,7270b521,a65d6cc0,c7faa23f,eafb70ce,723338d8,19bebd10,bae703d2,1e72b496,f2f95b6,e83d7d22)
+,S(7e27207a,b80f124f,9694f143,9a0cd895,2c67a719,4075d9fd,1bb7c9a5,a22dfa3e,322b729f,e19d75f5,89749527,80f3ae04,48edf9e9,d8c24267,18812dc6,bef5e602)
+,S(3de40b43,9077ea26,8d94aaa1,93e9c7cb,98e362a1,551b9b10,d5eb64ce,15986582,ba36c2b,e0f9d3d0,220eb47f,4ea66d01,59236411,2898172,8582d3c5,19576943)
+,S(81e94808,7e89846e,6c7e5ad4,feb8f0da,4553e460,e3e4620,d87a206c,9d3232b,e216962e,4068a44,920e6a9e,f03efd5e,afae7f96,3497ecaa,dc741c37,7e9943b3)
+,S(3056eeb0,d00a19cc,bb5a2ac7,f320ea3a,4e931187,498ec23c,daadc820,a34f49da,c6803559,271b265c,80257585,1f0a78e9,85abeaac,cb570787,f398766c,aa21fed3)
+,S(9b1e1189,752fb763,7a61246a,7134145f,86b973b1,e44a5e7c,c59998a2,77ed64f2,f6793c87,9b8c380e,65296c8b,eaeb98c6,b66e0be0,d03865f4,4a09177,5dcfd332)
+,S(807179ba,f1f9ce93,bb1f7dc6,e3c6514,99077419,472b9d8a,1a8cc4e2,f35c0c5,36807219,9966eb7,f18dfb7,d3316eec,54f1a9a7,7214d4fb,ce3f3ff2,935e2ced)
+,S(60dd7b7c,cbcab93b,8ecfa461,8cfef03f,a74bdd47,9cb90a1,5e46ca7c,c1bafcc8,1d24d147,9987f779,90cde228,22ea0cd4,4236875d,943eda25,fa25096f,e16b8ce6)
+,S(19daeb26,23383b3d,d15b0075,77a5e92f,bcedee4c,91996546,a7c52200,d243e4f8,12676559,3d67fe33,b1c01d4f,cae44be1,5f5f5e31,1149962,83ce8f92,f6485e3)
+,S(f42f8e1a,813dab8,9e4db5de,27445215,c0fb1cd8,91c9a96f,ca5ae1db,14e84361,3cd2ab35,55705994,42070743,d01fe633,34819d2a,af95e97,6dbee1b4,e3ba2ae)
+,S(1a2b774c,d5d0dd28,26d7c4e5,886d65b7,a219952c,6a413d2b,9fa8f765,73fe2bd8,4e2d0ecb,384a158e,e57da809,d065e39a,27830625,400c51ab,dffdf615,5d88032b)
+,S(e9fa7d8,94c55075,1ad1731a,b322fab,fd3d17a,889bccc3,73e44e37,b4c2c880,67528cad,e7987d12,77c61681,36abe0c9,5dfdce09,33129f27,ffa9d36,53673bd2)
+,S(5347f349,e54c301b,abcfd8cc,50f6fe6d,8fcd0fcd,861757d2,bc36cbfe,39f460b8,16d08dcc,2a837b6d,f9fe2ffa,b188a966,9d39181a,ed2aeb40,9ed17c8b,554e9d27)
+,S(e20e8cea,4450bf03,149bdf60,e95f7ed3,69fd79d0,aff9fb8c,ef6e5287,830c7ddc,fa256932,fcc569e2,613bc0af,5f90263e,6db633f3,6cebfe46,4c70b043,9b886058)
+,S(69132e10,b3a919a9,8a7188b3,e9afcf6c,2d53859a,5955e114,a41f1310,55ef8441,e6c339cd,ddd26e0e,ac4a1c2b,39e19cae,2d67e726,8518b750,94cb5e6c,b525d84e)
+,S(11e10c95,9bd9f79d,c2819a87,e17c0de7,9105af6b,fdbe3f6b,88d198a7,106c861a,27c29227,4a3677c7,381fe385,8382ca38,d4b98e91,af4250fb,40540828,246d5c16)
+,S(785934d,e1b1827a,471d7e59,2a4c3475,3054b00e,b8aae372,444b00ef,d9d894b1,7b8dd2e,a038d4e6,23f0f1f5,a2f75dbc,fe34e76f,6d106ae3,33d88a07,56dc4a60)
+,S(f09c814e,8e66b8e5,930f1a49,28b28e5d,206f4108,fe99f04f,ead93096,1cc17605,469bf934,b4059a4c,4a942214,e1d86fe6,dc900426,c7d0eddb,8d89e86c,76d60f24)
+,S(732901c7,26982b9f,ff1229a,3e8f7c83,2f47437b,412d0b3e,274a73e4,24ad6480,6b82e2d3,d4830086,cf416593,9b04ff7a,89b835bd,81cccd8a,7a29d47c,b70da3b7)
+,S(b8369a11,d23ff4ea,99ce166a,4708ab9d,389cefed,b1843d8d,6fc11f74,7260faea,f4346c36,63ec0ab3,6ac12df7,f61e9848,c2d4cbd8,c8e6e173,2d104d0b,aecaef9)
+,S(5499e409,3df85dad,411b8675,c09d0c0,c25bfefc,2afb0228,b94f834a,34ff83bb,7775c877,8fc6e8d0,519a67a8,7d2fe9c,c8abd8c1,15ae1700,ad1a94d7,925a4c78)
+,S(fa5bc8e6,fa9b13e8,ad787ba1,497a6b97,5c34a64d,a0da5b5c,836bd71b,88c93740,8c919cc1,19e45de1,54f6d0d8,f22d3b51,169b3f0d,181bb40a,56213cfa,a4ad126a)
+,S(a871c481,a84f4447,89ecded1,e2b1f525,9b1d4ab2,b16af331,199f89f5,730cdb0b,c478609,30b85d69,1ae45d62,7aeca01c,9f10a119,500d5d4a,c317fdd7,8de4a103)
+,S(63d3be27,66d33bf8,f7a38577,aadd5d9b,234bb77f,d206b056,379e023b,ecd25616,9509d09a,6dad6da0,aa5151f8,dd8e3800,abd8a799,2276ea0d,3c958f76,498ada87)
+,S(413ab945,c133d383,d70e81d3,34bda75c,be7bacf5,e49d71e3,7a884489,adb28f8f,c3d49f0d,6c65f6d6,1c9c84df,a4138076,f0168916,393612b,837c1df5,df710a02)
+,S(df070f4d,ce208b39,e2614db,77c6aa32,2a50bb26,2ec7141a,b1e26835,911b85c2,b0b1f453,1815fa7,83609235,da7bec0e,f1bf2ad3,b0e71f7f,7c18de8f,83f55a3b)
+,S(1ae86e7f,300efbe7,8cc933c,f8cda339,1f0f8f7e,411e6c0e,708a0d75,a1ab1815,d322b34f,f0778782,7d2da5c1,4d6bf17f,f8afc8a1,8051a724,bbd719e0,f5f31a2b)
+,S(2a38dfd9,ee86308b,e0c76ca1,8dbb9ec0,fbaa86fb,51075887,9283c070,f31106a9,69cb45,94832b55,abd6b686,f67d493a,9d45e4a1,7d557723,fbbbbb83,7ab30cc4)
+,S(2c6d7ab3,b1c3301d,65c79d40,583b566d,3ee39014,345a4553,a77a8e46,95b779e7,eb392dde,318bd27d,446b814e,73f9cbf1,380e38d,fed25022,bd584585,d671e470)
+,S(758739e8,2aa2e25e,b1d8e027,b0e401b2,c82db2ca,549ebb9c,e1560ec4,531c5c77,d3792987,c3da2cc5,5760e52d,a19ea1b4,d0c2cce5,3f612760,bfc28414,37090975)
+,S(7ef11cac,99fcb66b,71de229b,b34e82c6,e3149f85,ba1ffbf7,f22db64c,6a72588,64d7c546,28892864,1db41465,a134cfab,bc08ea64,11f5b2d5,b1de9f0f,7ae41b70)
+,S(a7d48b06,c66ef847,f17b4b3d,ec40eb97,cb91bff1,c06d4a6,5d6db8c3,5561e4c7,2f22aae0,d6eb7221,d24f025d,ad1768a9,a619d6d9,db9d8e74,948d9263,3d0676f)
+,S(a14d7354,1bb93625,d80f654,af67febb,d774e42b,6430a14,a907c52f,84088ab,adfe7f75,2b080bb6,89c031fe,c7c11d1a,bc303b7,f1a0ec2,38a4dac4,afbb2a5c)
+,S(16076f95,b067381c,9d71cc9a,928f10db,43553332,f747e33e,367cc7ca,ffaa5f88,5c05040e,43a29d4d,e16b5e42,b672f618,8f0496ef,f307c269,13df7c79,ed2b1502)
+,S(973450b4,a297ebf1,70630a71,fa74ae2c,8f3f8e39,18ff73fe,41bd1e65,5a5acd29,ba04c21f,e92ea639,99d5d87f,77181c31,ae8ed87c,dca22054,2f746fad,61f63039)
+,S(aa29f7ef,d2f06187,108ab23e,16d9f3a7,74ab6459,550048cf,e1ddca0b,45fb5942,431cbd5,c77b31b4,d8b8568d,b092e721,a02d643a,75621eb6,1016b363,9728e2e8)
+,S(bba61b3e,52614d14,358dc227,e0c0ea6c,e4dce364,fb7e0500,72d0d780,14642d9b,f33e0e72,6e9ee195,21fb4a80,2510156b,230a7ff,6e4c6b38,cd38b3cf,65336d6e)
+,S(911443a6,979ede22,f23df6af,e4b1ab,73867dd7,a47e9268,3e3cd83f,241bfacc,a0e5be1d,31cf0375,7c2469a5,90f3493b,e43a99e2,755af9d8,b87aac67,ee7a6488)
+,S(ff2126cc,5698e6c1,2da7f441,b031ea11,30132b86,23994f64,b332a8f2,87616d41,c616d5b3,79eeaae2,b072a11a,d2b316c1,b2c851d6,698b6d86,7fae1abd,482e91d4)
+,S(2fe68e9d,de151731,12e1653a,2a6abce7,615062fe,a5375ef6,a2be1e90,67f6d8ed,c24e4b95,718acdfc,cd9f39f5,eca6f2fe,74fe7f9b,ae6aa352,e3651bbe,5d81c9b8)
+,S(dc08aedd,90e96f6b,892ee62b,1f719619,6af44975,58d70f1e,7294863e,271ddb99,7250d846,1ac24a2e,e74bc5a7,53d5361f,8c012986,4364d84b,4afe22cf,c94aad99)
+,S(e9c21052,f350d1dd,caa82594,b6eefb5b,f8f01ec4,1a423278,fba3951b,fcc7eaae,6992071d,becaac44,a5cd1537,cd066f2f,c432f198,621b70ab,360ea8d1,35757784)
+,S(110d5ac,7838b9d2,d33bdf5e,8aed8529,5ceb9334,d409074f,3c26e3f9,f0cb792c,7879e339,427d8425,b597e76f,56a7a6e7,9a8cb00b,374ac98e,9cbec66a,47bceac)
+,S(92982af9,ab48532f,cf2ece2c,9ab346b8,7def4729,8ebcc03b,91869aeb,42f9bbda,c6bf5a6e,8639e2ca,772e8c36,5f824b3d,331c7be9,4c13e9a8,ae6a779e,208a157e)
+,S(c3f07f47,5246bb78,eac4e9cb,263c774a,3447acce,993a9707,14c1b553,79013162,f1931fa5,d6fd228a,a5781b35,45faba70,df6bca90,936acf17,f81a1155,4897e136)
+,S(37640e7a,eef3f326,a598d363,df4f46dc,8f0decb5,ab6e368e,62294c53,ef3fdc7b,54fe19ac,83a074aa,796feef6,8d39358c,7be8848b,433e1eaf,9982701a,3eca7a1d)
+,S(e903363b,6c90bd,2bf15176,83411d1d,aa9f0bb4,a22b5f03,ebbee32f,8f0cdf4d,fa44eae0,78b4b6fc,63abac71,ce0a6e0e,16b42d80,94179f1a,657eabd8,7eea2480)
+,S(3c5fdd9f,7313d178,312bc477,849ce90b,a22770df,867a815b,2bd1d1a0,600afb6f,d81524ea,9e23ad00,bd7197ee,63457745,75795d6a,63b8b15,a19cf606,72159a05)
+,S(40b540cf,43713ef5,c8b919af,6c991632,e60c198a,677887be,33b84c70,7c0ede8f,54586256,7352c824,49ebecbe,6eaae259,8e1cf694,fbb296bd,c14a4a59,240798e9)
+,S(67da332f,f57adb72,8eb8b926,5a650e23,bfe5271e,396d74f3,9878c22,6f912053,91aec263,d7b74e09,b4fcffa4,87cee236,356e4fdd,bfa257c8,f3e3be0f,3a3b16f6)
+,S(40cea066,fa029178,5662c994,db5b1153,e59fa121,c9133c2,fe1c6d20,91d44d98,61475cc7,a5ff5251,558f258b,aa8d69a1,52ed6497,c8ffcd55,2b66baa5,534df64c)
+,S(c4eed050,248cf186,f8e2c079,870a139,c0cb13ed,2cec040e,d98a18ca,9b67ed0,50e9997e,263c7441,9e71405a,4d342e76,c5548e,1a7a3cc2,97e4e00e,91fc476c)
+,S(676b60d2,14e309a6,8c7a8470,70d5bf62,8b71b7fd,322ae568,56fd4a48,9f3ee83,16e0d8d,371ad6bd,4713e9f,7c5f329c,72215cf,21a48527,35a0df71,205b733d)
+,S(af268996,29117c69,c3beb193,c5cf7944,d4d3cc1b,7481d08e,1a190b45,c03e1fe7,359e17db,bdbe179c,8cb75ead,8a0e3c86,2b1d7d28,4aafd2c,e45e7b9a,c6d83ebf)
+,S(62e15cc5,a30d1388,2b3c3890,4e1d11db,97b0a7b7,c658175d,e438591c,ed1ed489,fab66c6b,ab7b5ed5,815c81ca,65cf364,f4cdf8fd,7a6fe8e9,ab5ceb66,3bb4e8f5)
+,S(6c7af496,df980977,41f5068,f34d0477,7da16397,c853539c,1b0c1263,2e43ccaa,4eb0e461,5c6fd9e4,3aa05201,88bb264b,d55b3a05,fc2b6c8c,d6f5f51a,4314f6b)
+,S(757a45d4,4c662311,289be914,4ccca5ae,6ef89f51,52d66a2a,9be64096,cfc8fba3,732ddb9f,62fdf217,44d7daa6,35ca3e92,c3b84061,bae4c220,13339e06,fd4da7e0)
+,S(14978c08,f1eaa9ce,4d878db3,29f0bc94,43301fdb,24b525e5,4f9f27d5,7fc114f9,439d8e8b,2b9fdc0d,85914620,9c883731,26e961f6,82407867,b10bdbb5,3074e5b7)
+,S(3f231c93,760d9198,4a8d9adc,abd83c1b,3ae620c8,f067d103,6d1e5e02,2a72bcf9,95eb3a0,a928d3f7,dff3426d,763cf6ed,20d6df2f,c5dfb17f,c53ce0b7,90412bc7)
+,S(c90268ee,75cc8e7d,7fe84298,b1db4255,80c3c45d,3643a280,e3d5d0f6,7337b616,f566fecd,1158d49c,c12a1dde,d0b1fd7d,d9cafbb6,ed3fd09b,48689f85,b01cb59)
+,S(6457f0e,4d6cee8,7a2c0aee,85306a02,42c017d0,1e1c9807,5b460732,5c1d82f,67bf2f81,262de4e2,ba9d29aa,aecc9315,ff56c3ed,2e73d438,2a3dfa6d,faf9808a)
+,S(ddc591c,1abcbb88,3de13bc4,490a66d5,3d96c97c,f1e21ae5,6a430c1c,39b1b629,80ae50f7,b81f043b,e3db78c4,da7b6078,871d4813,1e076ad9,de59fb27,b942f72e)
+,S(22b19bf0,5efeb280,44b43bfd,7a6b3427,2e8b3c1,f6635ec8,d6966a,6667a252,47f504fb,ef2cea6c,8692d0a5,1f492560,151429c3,e522c23,2914e880,9ffdeef0)
+,S(d5883bd6,c13d93ed,50371ce6,ed6c4263,395c5d28,f589c84e,cb9fbfc7,2dca651e,acde7b79,969cde2b,9a580387,d8e3a99c,45f15d38,f2e2ed79,688a3a95,80aa9a8)
+,S(9615736a,4804dbbe,439f2f82,ca576623,a1675aeb,9ea9e40e,f6b910b6,c84af16b,a0967216,67f9dce6,25ce5331,62d45477,31be7427,74eeb1ec,4e3fe578,343c46be)
+,S(ea36bced,959bc461,95e730f2,26224652,2472c2c5,70df6832,befa40aa,5c600e32,dd52094,82eb08c4,bc233090,2aa54333,87d06885,a9357f40,246348b4,4d97fbf9)
+,S(44814860,ddf61b77,77cad443,18c21686,85c614b0,1c5830b3,b178a52,d85539bd,f3e5fd15,c71050b7,280643dd,bd2c55b9,219e7fda,cfbd2e98,94fa9a4c,9cc7ce75)
+,S(814454b,cde86996,56b44c39,69bf0a8f,31b6d032,40098f9e,43d52266,cee66f49,8baf21a6,601db25f,2e18f5fe,decb9f31,9a6378c,adbff6ec,99bfa2ff,8d26b5c6)
+,S(1ff790f1,11f7bbb5,b6db5f83,22ac696,c1de09d8,e50b9f4d,641ef76f,d43fdad,145d0aae,c218d6c0,219ce9c2,313b4962,f873c5c3,5424d3b,536c1543,14fa9517)
+,S(275cc6c0,6a8faf20,c3c1e88b,87e27d35,661c6401,d3a1bd96,18cb016e,fdbc6d0c,45cc522e,97b61ff7,696c5780,638054cb,5e97b6d4,fc4a813c,7000a633,4e9f2a7c)
+,S(9c78cd3f,874afab,23874f0c,8a84fbc8,a6d032f6,7fef6c6f,29c90513,bb6926f5,818a2406,fedf958f,7efafc4a,584ff6b1,7bae1b65,f67d1086,c3e013a2,cc318b1a)
+,S(3c060395,f2cfe9f9,e3bb4afd,e5a71e03,c5a92491,323de27a,c9ebe1b,170153eb,344d08c3,8021fea2,6f55c0c5,85af3954,afda21e7,14cdedc6,8ffa3771,43b2ca27)
+,S(f4b61a9f,7392b960,752bafd0,ce521e4e,57bcb898,cbb2dd9a,b0f7db8a,3ce5ff2,e412589e,f3678029,15813dfd,acfe8056,2a59894a,4c87640c,6044656c,e8998d5c)
+,S(418698b7,6230acce,49505275,a0c01e9,4eb356a2,e3c242ff,470b64be,fa91ce85,cb9dfaf5,4c64ed94,f97e03d,30e07876,9e5a3142,d0fc0902,5e20ac2c,21c4ceeb)
+,S(809cbcd7,91c1f309,864ca343,3d9a11dd,2db3d9c4,5350ac5b,27f55e19,b9941ce2,8161347a,92fdcb92,263f1d85,2923a15c,42d5012e,30d7d9b8,623cefa6,12b06bf2)
+,S(6410c007,1d1025c9,8ce11509,5359e962,58c6a115,5e7f34fd,30fc8862,f9569f23,d76363d6,2661a55c,6c211bc4,13b1dd7d,63fa6964,a03d9461,e2870f2e,54c87d29)
+,S(8394abff,22ef6051,7517e352,12a4dca,103a19ab,4091c7e8,fd417a,98fcfd2e,20d0ad3e,bc0fd15,fd405417,61bfbb40,8e37975d,a77321b,67ad2ef8,35732c0b)
+,S(dbec1fa7,765386c1,d7558cb1,f19788bf,ce0e9fa4,7ca41edb,2f2d9ef8,78a04308,5d7c918e,335ef23a,934fc963,48dfd8f6,ce79885e,f4c463c5,b2645c8,48083ea0)
+,S(9d6fe17f,3f53f921,893a422f,c9f675d4,652cbe09,a870c81d,8b2ab9ee,9a591cc2,fae9ccd0,b22ce7e3,2e7faed,2d47c36f,25cac5b1,e56ea936,a6811f11,8d485a2f)
+,S(622f8f9d,65c4270b,1479e4d6,6f82fbc4,cf23e7a4,d09a6537,22c20d9c,54f85f55,e87650ee,4d9ac5d9,c6566612,1b6e4679,7e52953a,d7c3aedc,2fecc22f,d5b76591)
+,S(cb1db853,b615cb5a,b92d0340,7ad7891f,2e7b1d4d,120ba3fd,a1ea3565,ee1d1436,8362a39d,9d425eae,2451d601,27ac2824,3819da08,856d0db2,18f339d6,fcf20046)
+,S(5cbc6a63,59d9d6a5,2ceb093f,ca5cae,f32892f7,c9d04091,8245d9ae,ebd594cc,c4c18f88,7436575f,39b9e7c3,27c4efdc,6a3490b1,23c50743,ef03b1bc,34566bd)
+,S(37a3cb08,3a9b7561,78ff2128,e7a5b9a1,19577af6,61974869,cf555dac,ee2d11d8,1a8a6297,4d0b6c5a,12155e9b,cf895c95,f6fd2b1a,2776c32,8d6b56f8,32f114ca)
+,S(8e0611d7,ae0914d0,5d39e06b,9b359400,f21c3beb,73ede92d,bcaa6d96,8a995b95,ddd4f522,d1c6a964,9629727f,52740664,43e80ac9,7d9c68e1,225e60c5,38129bd7)
+,S(9ec34a91,8a4648f0,1c1d726b,51b1874f,36410180,8bee25ac,c159c251,fc115510,bc5ee2aa,b5e43b01,b34ab989,5f4cd71d,1d3e6288,915daa2,e84ed531,4b388b8b)
+,S(dc19ec7d,c901e215,f6d0603e,bb5494ca,aa9b5409,67a5a339,8915c4cd,84000654,b55b9596,a18e53c4,b82c669b,92defe5f,bb5e58b0,3cd227b6,3b439b4,ef13bf13)
+,S(51bc3804,bda51e9,d0c45087,13599f12,b9a8599d,6e8ce949,5a3f595c,7d38dc8f,ef0d6522,fe3a3c4e,64ee1092,b9ae8f6,e7847bf,94044693,a3ac7cf0,f4aaa37)
+,S(13463b32,dff393d3,dfddbe3f,bd6ade13,190e0bb5,83e3f126,344b5e01,3105e234,ea3df1a8,b8270f70,24910f40,a519cef4,9944fcf4,d82a4300,63b2026f,8f019ff4)
+,S(c49b3261,2e286adb,606686d9,67dbf4b9,57819dac,9bb75f44,8f1416ec,f900fa5f,ffe45b6d,8c19de7e,c08256e2,96667d89,f290f5d2,25a9e380,c106972d,79551b1f)
+,S(10fe7aff,36a8f4ef,79e2d8ac,619ca92e,2300878b,cf21a271,70f89e9b,6294dd28,f67da70f,623fe6fd,2c7113eb,fe6458fe,d0d5471,ab639050,685a0fd9,33afd6a3)
+,S(d56037f6,efec78c6,e31e633c,570c5e46,96f96276,b86d0b89,e993f014,53592300,2499b92,4fd99b5e,a56f9649,bd8e53c4,b2f20dab,9fc1de83,dc199022,1f606b37)
+,S(a3c1d0c8,939cd4b7,5cce8ce2,f3be0226,589fb32e,55457fde,8e700a77,a60bf003,b9054f66,bf6450cb,782533b9,33190084,d6f5944f,cf4e06f,de72d483,144c941c)
+,S(85d0c4ca,e1cfe42f,b5f73f31,42e97e6b,c0855f7e,db19b1a,8668e413,4efcd249,d8372bc,937fa754,b81631aa,33a8ecbc,a25f86d3,d5e0627,d6964ee,5c08e68b)
+,S(3092eae2,d41d0ccc,10af9d81,fe8c80f6,9ae27c9b,74b5f696,7a69211c,8d6ef98d,153f0882,f6b720bc,c8ae5924,923e0608,d6163c3b,32d36742,68718d6,e7f35e4e)
+,S(4aeb6ac7,fe874a0f,1c24681d,884d5497,3486f293,9b01ebd9,74c34ea3,429be71a,d7077161,c508a7d9,63006566,f652afdd,df87d0b2,8daf3fba,21f206ec,a94a53e4)
+,S(729bb0f7,be975284,a68363ef,40003a6e,c770fa4,5d6e6b99,ab0c5042,da563f32,1e0435d5,ea85370a,7293396b,407da43f,c540aa04,24f21de6,a002f555,cccd4480)
+,S(96164ac5,1074dce1,3b973689,a39b6795,9bf5756c,4de94829,66bbdd23,9e665fdd,5cf13b8f,56c92710,80c11626,6bce26c2,14a39237,9aa68ed1,b7a05d65,7bbea247)
+,S(6d45d79d,9297bb8a,326b889,391b18d7,31af609c,67b31be2,9b4273cc,405e3f80,2d99909a,7b6969fe,148111fa,1b9c9326,97fb465,494a8225,a6c62626,555ed02a)
+,S(70091076,b5b81f33,42170f0,4881c941,d2fe9b0e,ff156221,66f0c92b,4f9e8e71,7c676c5a,4fb434d6,58f635a8,20b454f3,4c9795e8,b8860d27,4d0fecbc,ce7824a2)
+,S(d04c0a77,c8fcb3a9,a02df253,b8819853,63dd47ca,bc1f8881,88d5e56,87a7db74,302d1b96,c35a2626,22bbc6e2,841b5cf8,efb77374,af428f9e,d69b2b11,6993db09)
+,S(3c93d2bb,7ee61cb0,7a25ef65,f3e22eda,6e74d2eb,f3ede111,b4f2a28b,b4f206d5,65ed4db2,b1647b39,7225741e,241310e6,7a47f0ee,4f459ab1,3d29689e,cef70336)
+,S(8efd5a54,a4c7567f,bd971cce,7ce3006e,3524dd81,cb7a4ee1,a5c61e12,62961037,6b9688d7,d73db9a7,1410738c,80430ea6,ea329145,718b4177,71e542a6,93b494cf)
+,S(e7aa8121,34fa1f75,efd2ff02,273becca,18bf1ea9,47d168e2,cadd6e9a,6c448425,8af9da38,e2471dad,128e004a,d7b03932,2976d84b,7c91f91a,af471546,dfa5acdd)
+,S(e4335a32,b3218d51,9c582689,85138591,4b7cd8fd,4e4eabc3,b5f9e0b4,c3212b84,ccfbfb0f,50b5fe75,c849510a,bac5870c,3016573a,53eda160,b14602c2,42ca02c7)
+,S(aeff696f,e98cf587,745adbee,3fca1ae2,3f8f5768,56bbad5f,4a26afe,904a17c4,55dfb880,250b9a5b,7eb971a1,fbe0cd6,ad2d375b,88d98e52,6afcafeb,7ac4617)
+,S(72fdb2e1,eb120244,4b20bd6d,afd6d49f,46a56f25,63e679c5,2de98cb5,bc999a5d,e29f2,34ad3637,7b4a9cf6,c307b8a3,a779cc22,ae472aac,eb519c10,8137162d)
+,S(eda9f183,f89750bc,8c12ce7a,fee54145,42edd9ae,9fefd508,ab588bf1,6c7da0e3,a9328c5,81b0cb02,fc09fcfd,2a57d2c8,fa313ef5,4e205902,9bcf0846,811be308)
+,S(744683c1,2a0150be,1d7655e,b5a3fc97,4303387b,e53bcdeb,41dfbabf,ff12f6be,df2e4b05,a459aa27,2d3de8dd,4c211dec,e35eb798,67050285,57dd53e3,5b9950f6)
+,S(9f3cabfc,106653e4,65daeb52,e86d99ff,e3ac6df4,5eef90f0,61226cc0,32592ef5,9f20d174,1b78c8ec,d7425d19,fc0a4c9b,1f1cac8d,b97514b5,8585901c,41862306)
+,S(9dc15715,9f59c338,d56a7d9d,ce63579e,9e95424d,e6db6927,418b024f,ed95936a,278716bc,3e131fa4,75b9ac00,6e868d88,ce17e6ba,d7ecd202,33fbba0,fb34f0f9)
+,S(b6c91d90,b1bf3b46,4b526186,69e1c118,dcf8d6f9,c8ca7473,5a361a28,b53c823e,15132dc7,69e59b7b,fe5e9966,1b82e47b,3ee4c3a3,1c0b8201,517dc567,ff90a4bd)
+,S(56604a9,ab972c4a,f18d5f8a,d5cb6d94,2d0c841,a7defd1b,b94b1b25,c31df400,3d2f2a27,adc2eb70,336b4b44,5229e09,a74a113a,f1b21bd9,1e3f2351,15f6a85b)
+,S(a5b57de,fcd3016a,917ababf,171c3c31,ed62957b,cd8d233d,c551fd9,6216561d,3731d822,155afc28,8bd7ed39,30c3f6e3,58a46f5d,d9fb3ed2,6d7c7da2,a8dee233)
+,S(da179b61,81e27ecd,d545af40,ea5967ab,7c0ea9ad,68a8c0e7,4d4a5aa6,4aafa549,c5c97c42,e74f4991,55191cf3,3118f05e,19633eac,ff5ea8d0,7ec866a0,7fbbef29)
+,S(42a0e864,1b594b98,90357e4e,8c32422a,19f368e8,190170bc,6d8abca0,9cf12f1a,bac7a5e5,baf7ddf4,934aaeb9,5078e0a9,c449de0a,cb932b13,a93f474f,52312d85)
+,S(74c85e38,944e2003,435bf345,124656a,6a409bdf,fd1c16dd,d1246d45,cadcaaf7,bc18315d,caf237d5,5f3ffc65,41bf9ca9,f39af9f0,cdde6fab,f602e888,dc51bb7a)
+,S(8ceda42,698e5995,40091f6d,f50388e2,7c229b0e,76e7def7,f8986b6c,af975e79,a8915f5e,7c524e55,5743c392,2b31c426,71fa938f,84679389,b3738af7,59e92430)
+,S(f44e2dd3,ffe43da2,66fbaa1,990d1f19,e3e4e44f,bb565ec8,74af57d5,feeac498,c307b3c1,a90da318,bf928a1a,a8894080,29874639,ece7700d,4f4dddee,d005f6f3)
+,S(7e30bb38,c9a603f9,d5fe78f7,453d1c81,30c140b2,1ad7706b,601d6b77,5c703984,49c9de1d,1d057fa6,b135ebdc,f0b5ad9c,f9f51cef,95a4cb7c,ebc11d4a,3bbb6d7)
+,S(8e1e53c7,4f7e1595,b4a5f7b4,5b324f0e,435473b0,a61cdd8b,1607c0ef,d11e3c56,584781c3,ae8a8beb,f6cd1bb8,3938fb12,35994977,2d1facc4,240fa43,7bc241d2)
+,S(63d0cd75,54bf2c18,bb180269,2d19b4a5,4acd77c,d2eccb7f,360dfd5d,4b9f22bf,ed79b7af,eee5ec82,e498ebeb,467380b6,1369802c,3dd995ae,c844d3d2,91ddd756)
+,S(feef5d30,b382dd6d,a0ec0d81,b18ae45a,8dbe12c3,dd695648,cea27c14,7d075be4,20ba81b6,b48ebc6,b185d6bb,2fb7bea5,c6a011a1,24f49550,415eb8f3,cde3aec7)
+,S(21bb575f,db07a152,5ff0a7a2,d7d2c189,742df276,9306bc7a,30c2c3df,f2125b94,8ea74299,b7b40a93,3db6afb6,6577ce64,dd10d24a,89bc3907,1f656f5a,71c56953)
+,S(dee2dc59,44cad7f2,310afc94,403067fc,5c1c3d2a,dde88ae0,55ba8bec,d6e5cb08,606542e4,5301a6ac,86c5c794,444006d,d77e2bda,11c8af0,6d883689,7a6b6dd7)
+,S(4768a2e4,98ca0472,67cef4b4,18e6398c,81289c73,e617a2e8,ca021155,edc576d8,f8c574bf,beea93d7,1a2a331b,cee494f3,75c1bc3b,ea918106,9f1665fd,589dbc3a)
+,S(53d75697,160c2b90,aaea7f95,ad24bd66,b5fd7681,f2802bef,d2a71080,74f66b40,4b04d94b,416a8098,144dccab,bcd8742b,13e85b2e,ec8817c7,7b7e5821,2e8b56c0)
+,S(832f268d,ad5f3bb2,dafef9dc,f94bacec,b369d4a1,ffbdfdae,bd4fcd9d,77404e99,a6495805,c9b439b3,26e32f78,8b06765e,8d984a37,86ccb4e3,88b36bfc,c9cc582b)
+,S(657acf28,15b8cc12,83265bcc,9c826be2,c6d5329b,351fee50,2ed96f4f,bb1a6333,171a0a97,b2809b24,a89b337a,cbeab96e,7d1d850d,dc577a10,ef3c757a,9c2da9fe)
+,S(7e3d0a00,a3378c89,741184cf,36e41bb8,758fd131,eccd970,638f60d9,31b8348b,6f2cc777,31f94565,2a3b4c42,29be627e,bb70d5c1,67648d16,df5470f8,90512517)
+,S(649a30aa,4fac6630,c7bab764,19f9a34c,6676f17c,2458fb1d,ac48317a,734242cc,fb3f07e2,5737d6b1,a28b074b,880db818,c9623c12,80268b02,dad90da1,c8d246d6)
+,S(6b65264f,537fa580,9d21588,fd86b246,4d1818e1,ec7fc43b,94af9211,c835c986,537365ae,4e61460d,c2c1caf0,62ac870c,9536d8b9,436a0ef0,dee6a39e,2bf25611)
+,S(dc1a5599,d5cba6b0,2d692eac,304b642b,db32afe2,59e2e8fc,3bdc8f40,72c66c51,bd18d5f8,f99c6070,b7bc06af,568e28b9,2b39dc31,ad49a842,4bff4a55,d11ff42e)
+,S(726d39f4,86401794,9e7a5498,8e8fbb53,b8b13ec1,cd5fa3c2,88f0d933,894e193d,f23e9fc5,68c9e0cc,b258dba2,58b3dd65,7aca0dd4,d9cb7bf,274e62d4,f65543aa)
+,S(78d76006,857c2f36,889c14ee,90a8f993,79c1e0f3,5344cafd,592c961f,75aa8ee5,76dfacfc,994f3985,70d98c75,4f5e6d00,ae3ed428,49cb75d1,580e81f6,3d7427c5)
+,S(d69c3e30,88874c19,71bf077c,89247826,b464d3d5,292196f,88ef0ad6,892375a9,cc7b98de,86017934,c472bc7b,e56f14c8,7494cf5,6f2791a5,d3132c07,26315cf5)
+,S(9b4022c,907c4aa6,87631f88,8d47bde4,faeab1c9,23e125f9,280dcf86,7920ae84,c7468b6a,a7b4db67,a9b4a23e,11fff527,19e454ee,65ed88eb,3b89e231,e504c284)
+,S(e638a253,84e985a3,5dca200a,5e3786de,52617824,7ed0c9f7,9c9d598b,8bcf8447,69211bb0,be8fcd6f,cdb0ebdd,a8782be8,a47d8852,7bb74b3c,d98c41d5,6aae614c)
+,S(e46758ab,e2838a28,42baafad,12376137,7cf72960,d6a93105,3270330a,203134b4,2c7ca1c4,73d0c3a5,8f5ca754,6604ac75,8c460c82,64f5ab4c,832893c3,fcbfc7c)
+,S(c8c8083c,3bd1b84,9b9402bb,9472263e,37e7d2bc,53a77b4c,b0ae9b3d,bc70342a,9085d285,6ebd4446,127ab4c2,fe7e5c84,d5c5c114,8ee76a1c,da72933,9ca6578d)
+,S(cf21f3d5,75f194a9,3133a382,514ca64a,f998b099,eb307655,46e2959,f71f838f,657df357,aa09b443,c4763432,45d3eae,4fedfd1f,7fa86896,2ffc5174,d61fc4ba)
+,S(684aa68,d4aabda9,65adbb29,1056db00,1c41b900,e11770c,c77c687d,ebcd702f,c6f0c4bd,f6f6193b,928d81b2,812c4303,7e6b90eb,598a50b0,742dd21,8d82bf3f)
+,S(b9a4ef5c,acf4a82,77b81803,6bcf2672,945ec080,e16e8c3b,19f7b612,c408c884,1cca67ba,9e98e737,b4a55145,7f254d4f,5d793d4e,22b81b35,f4ab48d0,92b9c745)
+,S(ff439f87,d4784ca7,490da489,e2757106,e59836ba,f3fe2e4d,f6700c08,cdb2327e,98f21471,84659fa9,a9cdb709,f894236f,18ecdac9,f5834dfb,b91a7bf5,8edb7461)
+,S(e1750c62,9c35027a,c1a5f1aa,c9fb4076,badfd925,f5915b11,a267672b,15945ed8,e17610ce,a0b8d837,d1038d7d,9300edfb,5832fa84,c4e630f5,2b01ac64,a79c0e17)
+,S(2b7057dc,1c59ed7c,e64f187b,86adbbb7,1d228e5d,eea347c,75c73d2d,a73b3a28,1b136a49,713b433f,f2c79de6,77b5a322,8003e614,2b845470,5ce884ba,329e20a1)
+,S(711c07c9,ae61ac68,f1041b58,c0f2ed07,1106c2b1,bc47e104,527d540f,53690434,e9199a45,2f5a3a39,9506473f,be6bb46a,3105aa70,2c517051,7b4c810a,5a194c09)
+,S(54dc7650,68c38627,4619d9a1,faadc0d8,c2ad8296,dd0d00a5,f2e53c5e,1a1a0d4b,2e9b7179,3af2f752,c111fd71,c00f4bd0,8fa646a0,428b4813,885d4e4b,ab7e3fd9)
+,S(9c5aecba,3f8b3507,db7cc231,c2c1674c,3c3e27be,84757fc,4f1521f9,c3d9323c,413455e1,9e157ddd,17f51c1e,618dd726,d300c023,f0a0d24b,518c93e3,f2954630)
+,S(c22c2972,5f67e23,a369342d,9a4e1f6d,dc1bf6f5,88d63086,fb54718c,f5183a,a26ca30b,d97ad611,4ea4ece4,cfdd3928,23c02838,9723d53f,32c3b38,320eb707)
+,S(8f87ac94,a29dd2c9,d37aa130,f8b4e67b,da595ca,a22803d1,e2d8cd4,eba4f2a9,551fab10,16227763,6d7ad2c,bb055439,21743078,e02fe0e1,b7dffd6,8749b04)
+,S(bc486976,76c0f638,a116bcce,d7ee781b,876ef486,111fd680,4dedb176,8125dbd8,16d7c6d0,19708ccb,510ddcd8,698c2fdd,bc6978b8,7b0639d7,a1c8ec6e,ee3ea383)
+,S(5a6ec844,201d9b39,92a46fe5,ad4f05db,6e8cf251,24ecae84,3a28da7d,46e75ae8,9e1538ef,f27344ae,8f9c1049,c12b49d0,2d5341fe,33652a8a,9f2eb512,c74ef224)
+,S(dd6b2c56,b13f0ab5,4e0a75ec,526219e1,4d43ad78,7deae379,1dfb387c,541f4d6f,7379c5ff,1b793b97,c8acba99,97a3c079,f1c147a0,f63a2ec1,a0a771fb,fc3d432b)
+,S(74e27534,4d7d8cab,e4995d08,6d61d27e,942e2514,3c6e3040,8402a5ff,12a63ebb,7b5914d7,fefb7b3d,2fdeb49,359878b8,355eecef,65ac589b,dd31ccb4,c270d854)
+,S(bea186e4,b5e3663a,fb00230e,d8ac1660,67b022b9,b69b6e75,aaecb88d,d750d34d,35807d83,5b75e3ae,670bf35c,d415d37,6fbc86e7,4f99afbd,c60a0b46,9153a0d7)
+,S(17ef6838,a07f65f7,cc094d4f,77743c6b,fde12ae3,b81625c,23826228,650f30f0,9d696a8e,a5356fa2,10626ce2,cf312fb7,198b0937,493c9dde,4711dba1,333eba5c)
+,S(b3e1bfcb,38c89fac,af3baf39,80b21e47,d6465473,c9d6a29c,8a08cb18,141bcb7,aa33ab83,2a9d4eaf,2a50f9f8,ba55d0b,c5e3b120,69a8330c,23120928,5f6b90)
+,S(689d499d,c754f099,83372631,2f307f0d,807f4f6,d67df40a,318aadd5,5776202a,dd4f9012,8a19dfbd,8f5f96ed,df2c7d79,d451f84f,fa63b1a5,9845f84b,759377eb)
+,S(4bfb2e58,9df27505,91a73a4c,6ce88397,a2f68f6e,8f866e1f,d3af9df1,f3c96bb4,a9d94c07,29948553,6433f0ec,b4618d1d,af309c6b,73fa4749,aa949e6f,bdc24b7e)
+,S(97a3004f,26461f5f,b6cbbca3,13eecbe7,5026d958,a1804c34,6e661722,c67f91d,8b8e9bfd,b9b704d5,13bb5a50,a725bae2,c7ceb6a1,ffcf8c49,8e87c6ff,e47844f9)
+,S(a07a76e2,48f87384,48e607ee,7f30aed1,db657b9f,b159ac9a,3d38e8ad,61050c28,7d7749b7,aa6dcd68,931c3c0d,87eb73d9,6bd5f43a,b633e7b8,f77406a9,23fdd47f)
+,S(9bcff8ce,3a280998,fe077cb7,a6e4854c,4c834e21,af118937,9a133986,320b8e25,da3214eb,5cfea248,f1f8a1c1,e8b0dfcd,4171b2fa,5e133854,84a6c99b,215c9ca1)
+,S(8f1d2dd,bab8242e,fad20574,c0f28976,d2e98df7,5e144d27,e558b9c9,8d75a036,8bd117cb,294db5d6,a39097e9,8976c701,1042af41,680637d1,c8a1d56d,30800bab)
+,S(73910449,2a44d0fa,d27b97b8,df75ca46,caefe44c,741848f5,36b78986,8d966991,d31b7807,e1db48a3,380608e6,5f865cf4,445c47f6,c6094819,da2450e4,6b78168b)
+,S(e024cfa9,4fdae1e1,2895590f,222b167d,8a41a87b,b1a6b720,61ccac0c,4caf9dc3,d62f1129,cd84f36f,bd1b9439,6f5ce037,fbdafe41,fbebd066,110549fd,50b0ba05)
+,S(a378ab39,e3dce826,6805bcec,b8123eb3,ffada53d,883c752e,e46ce4f8,5bf093fc,db9d124e,4c0a8d1f,14cfc406,4498a7a6,513261f3,300ebe0,99a41f0e,701c7dd3)
+,S(bea5d211,b808e4bc,5aaa1a96,a9b8842b,5204b60e,24d5e518,4b4e92aa,12d8968f,caf8b92f,87c4b8fc,4692efb,889ccd64,610fd604,b9669dca,e033ae9a,453bbca9)
+,S(7ec06291,40b6bfd4,cc4bd45a,8a953fc2,653d73c5,d366b5e8,b732dd8d,5d30428,e96c9515,da8dfae3,a2f4e01f,f02ebad9,8499a318,8905c0f0,fcbcbb58,87360a08)
+,S(9f9698a7,6ccc8bc5,31dcd9a5,b21f3f8c,9d143194,8902312c,b5ab89cf,554c3b26,e08acb08,2ab0eb8f,fc31f7a3,1ca8dfbc,d4b1863e,29d155f,4abb8d54,6c59a221)
+,S(ad955b37,a45f2bfa,1779e8c8,e6786af0,dc49dc9d,d692281c,da10b25d,7517214f,b2048fe,ee71c152,8c8f5dbb,cedde340,284af2c7,71ee86e1,8d565285,5de918ef)
+,S(e7e56815,9412123b,7737b006,f48b3f32,513023a0,70c595af,1749c564,8222e21d,3ff11313,c2992218,cb3a1c01,e333f2fc,ffdd05a0,c381f8e2,24de6add,85aad0b0)
+,S(4afab50b,55c2a433,488adadc,ca5d11,2e225f81,9ab817bb,116109ce,71dd3439,d232e25a,e5a8f6d5,68344997,442bdc54,de9cc597,cc474555,5f64cbfb,6252808d)
+,S(2f739ca4,6559727c,cc2fdfa7,c66da19,b7d2660f,cc63b74,155057be,d55313bb,c39350a6,10a844f,80730a2f,27bbee8b,a06d7ae4,a279f490,f975111f,eada018b)
+,S(f3596671,79f9343b,bc3238e7,bab4686b,5b7aaadc,95848f20,52adfc33,d15a990e,8b5759c8,e0bfb8ff,e298e824,ef18c042,65d7f886,1af8252f,8c9d9d92,c1822849)
+,S(b3feced5,8d79e1c4,d0a210dc,de416353,404f533f,5a1295bd,4d888d59,b43725c3,b07089f0,871f7c3e,440ea905,cebf66de,52c68c04,a6aae237,e23c3272,26d99826)
+,S(85c74622,bb28186b,5f1bffc9,74d51ea1,8bd7e6f9,1a02285d,6d8818df,b87d2f9c,8eb95100,63263c67,976fda8a,18910459,df0755b9,307e4145,cfdd18,15b799ff)
+,S(3823d01,5b240e83,44c936a,c9a5f7f0,fbbe3059,1c20f39c,ca51be63,98ea7a7d,6e6539ac,8f404753,dda08dbe,f7ad4e48,69a67a93,f0efd0b7,b53c14be,130435fb)
+,S(b73ae7aa,e97af1d1,b6ae34b5,f6188c62,33ac811e,1ce5818a,a9f20703,7deaa539,cf495bd7,2df163b1,f6908b7,23042bf1,137a325f,bb8ebd78,c0d12086,e7b76005)
+,S(f6724463,faac9880,41dc4918,5e27b97e,889e74a1,81f35b58,2601328b,143688a2,a290e04a,f10a477c,7c0269ff,42285277,f1faced9,eff88272,45f2d069,58897554)
+,S(9eff8038,1d546c1e,e1b5d562,947f3a98,427e17f4,84d0007f,eebd71c8,261ff959,bca422aa,d4748c66,6aa99f76,eb8e75b8,55f89b0,917ec29f,401caf83,cec111c9)
+,S(93384df7,33d0fece,931587d3,410f2520,6bbbd992,5e6fce75,5432252d,8bc1bcc5,9e3beba1,b9a92647,c630cb4a,69b9bbf,80e301be,fb8eeafb,fa0021c3,ae27c38c)
+,S(ca85653f,975882c3,71902d14,6f50b3ec,1dfe1fa4,b6e6d5a9,e5068685,632074bf,a64fdea1,66808f60,736f7d84,850f841f,588879e9,5d1adcf8,ccbdc4bf,4f743bba)
+,S(b80a52f6,951aa063,1094a2e2,866d3a29,b95cf239,48753ea5,cf5c6f6e,8e082f90,61c95d57,d6fc3ca7,5f92771,61ca211,1f20a67,9a85f4f,2b8b0fbd,494d55dd)
+,S(3d5d3037,3a97dd67,fe45b273,2ce21e19,b29587dd,301f3dd9,b411432,e642a3c8,5c8e3a19,896ef1a5,5cf1ad28,41e47dd6,1f207f22,3388c6aa,23d011d8,fd95929a)
+,S(b274f8ca,29a87fe2,8a3a1269,ddc35b5b,44f9e4d9,81af118a,187a7c36,acb155c8,410d9c55,bc34c21a,6368155b,c282e449,c5317dd1,c4e5758e,27493fa0,4f028ea8)
+,S(f1557792,8cac518,66f59814,a70c14f7,beeaefa5,33d3b535,df19d31b,ce1cacf8,113dbebd,9fef9cfb,93b5606a,e4b48aca,5b7e9c00,a59832e9,6865282b,80b70ecb)
+,S(fbe3f262,18fcb657,7fe56753,42765926,59ff099e,f36252f4,cb5af101,622c40e6,4c872d52,f1202df3,e905a0d,3f9c89f,b347723c,99b1b273,8f3dbb83,df0fa2ff)
+,S(ef7d13fa,25ef46c5,3663eddb,a677f6e3,b24c7e7c,6895e731,2c6993da,3d9384a2,cda2cc35,114e06d2,1f6f896,666c16db,78fef74d,2ee46fb6,a4a34e09,8546935f)
+,S(8e34b93e,afb7f027,cdf8696f,a6407213,91860119,cae17b66,d4f16175,fd7118cc,3198f5fa,27ee190a,e56813e,910d917e,3bb8c850,20b0376e,e55e88ea,eb56397b)
+,S(a8291a3b,8e544240,a0f0dcaf,6369b2cd,98ab80bb,4dcbc2fe,e023cea,1fa52399,f8305f7a,b1993569,82b8f2a0,1fa0e808,46a506ef,5cf0ccf4,fcba9211,284e15a8)
+,S(bd36854f,90dcd6ac,978c2545,7800489,35c4cca,79a0f9b6,bf461da6,5522c88e,631a3d75,7c05e2cf,4a445b22,73cf663a,332610a,8461dff3,846503fa,12e65ae2)
+,S(fad86e9a,ae78aaf2,e55e93f4,b8ee049c,73b86524,e942ab93,f05f9dfe,8b783116,657988b7,20822c63,dadaef15,a5cb3d49,be52946d,53b62ed7,1814ef3,b5aa4b7c)
+,S(e1235938,db5e1f30,fa0b4d4e,a9e1925c,6308917c,23efde51,47fb818d,a39bcb2,7641244a,7384acbc,3133fd6e,9ed61af4,40e3b951,751f9d0c,384328f8,b87bb2bb)
+,S(40ec62d9,7c9bf05a,cd4bd50c,137cb143,8e3331ac,554098a,57b6a92,afb137da,8b1468fa,f334dcfd,5a43d405,aacd3f31,7e868af2,73498367,4d0e5a06,67186a8e)
+,S(f6f5c9e1,c7d94d25,9abe1a8d,745dabfe,59e911cb,c917fefc,e2da2a63,cacb26a0,7f2454a8,550b385e,f49c26fe,bac89a9f,33bd6c9c,2eb05c98,4303a16,6b21ca51)
+,S(be4dd8db,c703a834,9e24773a,acefd0d5,70dd2ec,ef07bc70,ea8156bf,d5b516ab,46a7dc2,5d56052e,dc64a0d1,b414da49,dbb218d8,5abe14e5,c753eaa3,84b958ee)
+,S(273f227d,448ee218,1e43f2a9,89d5942,54eae85e,54fe9f76,fb67ce81,169e1be1,67cf461a,a6c7ac60,1ccdd925,b4b38e84,1998cbec,cabf9441,29575438,a855f35f)
+,S(94ca507b,96c063b5,bfa9d74a,c92e656e,db186570,9a017ce0,e5270bfc,8a8c4a31,98daf409,49c48c6b,8c674361,17aeb669,36c76169,8d39eda8,9922490b,4fa6a25d)
+,S(91d6f747,c1c7e012,440cf7c1,34ba64f8,9ef67b54,3a57196b,d2bd6ae8,f5ef4356,e2117eb0,4d4d29cb,5b13f628,f69e5eaf,2befc095,2fa361fd,f757430a,168c19d6)
+,S(8e2c4d62,c17835b0,97ba07b,37947515,e710e825,15bc614,75a66ed2,ac4cfb84,7b7f7e56,22bbca12,2863c230,5271ad25,b5e4195f,cb96e5a5,ca2be6d5,273d6532)
+,S(55738482,d32c4248,1bb0d1a0,666adab3,8bd2441b,9436b690,77925e15,2d8c948f,93a6705b,ba5e5b36,e73fe83e,e0ea81b,3de393c9,1c209e89,af90c539,9af5ea2d)
+,S(7faa0f45,45fa7d68,918396f6,19beb941,43d93f86,c5a26539,5016d386,b3e85086,cde251a8,3de1f2c7,11b884b5,33226baf,cac36791,1ff30e19,25f499ef,27da9c06)
+,S(61a766a7,7bf6f8f3,a07ed7c6,6648606c,69134c6f,4ab4931,9033f9a5,e8b7d191,7dfa24d7,6bba181d,7bd77606,c73b1635,46f41751,c05c34dc,ec54773b,4abea4a)
+,S(64317c72,4f1207dd,a6009736,6fd2d189,8b702e71,8cf84fcc,7c50427d,7eee171,d1d45f23,b1c5fda9,ee05652,dd30f898,c75923d8,293d6eb4,18a0e892,ae400895)
+,S(4c328f82,5923e7c8,9cdba421,92ad7a37,5a328323,71242c4a,e108c771,fc47356,322421bd,92c5142c,efe89e59,4689a7a2,e8e5507e,be8b505f,9dc9ac86,9d90ae6)
+,S(360aa32,797804f1,649c44aa,b38fa9a3,5d011301,708ac7cd,a4135c13,d86a6758,ce4b0fb6,6957f5a9,7e4ef923,ebfbd850,4f6d4098,5333db66,1152f1c,ac6eef59)
+,S(5b110b6b,d9ec8ab6,635f5016,bc597f31,ec22f7ce,cfeedd2a,1e6f883f,64d2379e,9472fb70,87ab6f91,2b10c6ff,995af03c,5086c034,f0f69860,ead562a6,e409c8b2)
+,S(be27b39b,5a657cf2,9ebb1b16,45f5e1d6,bb6e32bf,e3a52b08,a916e091,9affa38c,93fbf27b,5d03ae3f,471ad91b,69e74fd5,a8f2f925,2bd16473,62c4feac,d26d1dbe)
+,S(8ec65d75,c599fe6a,bddf3cf4,6ddcb4d6,1e9b5324,f5e7b7be,5407cb5e,28a9df4f,3d52541d,49ce4b07,7b543747,3a219db8,29680777,3cdcbf80,e4b47786,14ca082)
+,S(6edaa1b9,ea8c2c45,6c6a34c6,13ad60ed,aed18a04,32e96030,ac7305e3,2dbbf94c,c64c8279,40cbabbf,fcdd4db5,1719c53e,f8cdb650,67af48cf,fd731618,bd304b7f)
+,S(3fb5f6f6,60847e2d,e04341e0,26c4102,68d5a1fe,880602de,c07be98c,22640a29,ddd43c38,95e663fa,5aee3227,4a16f532,df3a180f,e0813ba,3ba113d6,f6fbd9cb)
+,S(2d740009,d7addda8,a802b263,35d41284,b3b9a119,248a3b,29b4a532,654e84c2,cbe1e2d8,1bffb79a,6f9292f,43ccbbad,e763a56d,6d68cde3,d946f310,dba8f28b)
+,S(15bf4abc,1d74793f,6ebf2fe4,aa74e34d,b359ad76,3d5624d8,19c24386,33517436,5efdcb90,259b5dca,39054a98,b6702fb0,f2fd4b61,235ed4c6,cd1f3dc,dab15f12)
+,S(feabbebf,3c6ee0ab,9b584162,476c8e9b,f7523c30,7874d7cc,c4a6b88c,b118d423,c51d328d,276502fa,f79168f7,3787d3ac,b4e7bb7e,1f65b421,64ad6e93,2d405460)
+,S(e3664247,929c3455,e98de868,60010f47,4258c686,4d4a7c0e,4bec28d1,b9af3188,7cb4bd55,ba579fd4,a3066f83,710a3606,2fab9f87,34311609,902407a5,88454bc7)
+,S(d570f391,365aa2ee,29b6db92,2a96e4db,f1820a6b,94fbb8b4,aec45ae2,f97a21af,c0841986,2b0adbae,1cb192e7,bf80dba1,830520e2,35e1e42,569a31cd,fc0c1543)
+,S(9cfce5e3,5119ca91,38629b08,c75b77f0,db3cb593,b2bf8dbc,b7d6fe3c,d1eba55c,33891655,226885b4,cd74d8ce,f29e978f,60a71bea,be99a2c1,d2071f53,239e4f12)
+,S(186ecba5,f9998439,f6a3dca1,a179608d,a15adf9f,f4d2f386,4268ec3e,e62e4407,ec7eaeb9,bec50709,e8dd761f,6253248b,2fd064a9,638953bf,510a38ae,c7c6d24)
+,S(ad52f2f6,fe0b72ed,2a0fe483,3745aebf,acfae58b,b40a0291,21767058,3e0f6b83,b0cae754,85e3038e,c6dc8d,b4e95a54,63e3e6f2,1b99d991,2f521663,3eea0c71)
+,S(aa06c0be,7d72350e,6b094df,f4dec4c1,993588f8,5bd82a1c,158f92cd,eaa7804,ed628163,29369fde,f0fac2f1,a533fcb2,a704637d,6dfaa1f4,a3b57f74,4efbeed0)
+,S(5f7a102c,4bdf0a06,76e1bd4a,4df17a3f,124bfee6,312b3972,c49fc4a7,14b3e867,85f153db,ab40a9e6,747aef3b,cd30f59b,fc9776c3,93293222,8f534d59,9efb30e3)
+,S(31a4309a,64c225e,69567574,e05bb994,3fe01679,6f09a0d9,358b1237,96cd3fe0,9b9862a2,916ad0f4,1e588567,5a1e357d,19ec82c5,b31f967d,af058e1f,da7cab16)
+,S(8906bd2a,505e8401,cc89e32,b9362c84,3443b4f,bafb7c03,75bc883b,11c3e59c,ca78e1d0,1c6fca33,b39d690f,5b85c764,ee15dbfc,48fa78dc,5f7d7cc4,5323d187)
+,S(41cc93ec,a27c4fc4,19fc1c8e,4568744e,dab8917d,d8936cd3,2723737e,e36b4f9d,c11d8299,bdb95efb,842ba828,a6d89120,1fc6a28a,9f208430,c1e2f748,bce6b7ae)
+,S(6e1b0bc6,199c3b84,220020e1,1a698e74,2fa97a58,c498254c,d3af1e8b,23ef34ed,25e0ed2,3f04706,6b4134fa,b6252276,b2205bd0,7a8ba64c,636e0b0e,1d6d0217)
+,S(b55741a5,7b9c7270,dd1e5115,995ecc55,8729832d,9f4e373a,6824d9a2,83490eb5,9adffc91,52eca815,465e533e,c82bab6,ec6b37a0,dbb3b6f8,c3bce25f,6e3d944b)
+,S(fde1167e,67f0e084,251d50fb,bafb538c,9c375e4c,fd6441bc,59a46104,46ff090f,662451a2,444d39f9,58593a02,e9a94ec1,4a1b8d87,9dc80c5a,73bb68fb,67af754)
+,S(bbc374da,188df5c6,5a633621,804d22e6,f7474faa,47a8af94,a1cb78fa,aee68040,c2c74abd,17acf272,6c03bbfe,7dbe06ce,eb1f4e0a,b0001aef,4d8f342c,aef50186)
+,S(bde6680d,414ce86,548504d5,55c83b18,c9f94e45,f55b6683,166cc81f,583e0eb,2b1ce8a2,6b5bbd8e,a087eaa6,49f49a48,2891abda,87c2037b,a73409a2,69b5e2e8)
+,S(8f9ba006,faf50323,b9637f00,9aa29cb,8e402219,75d329ce,15796428,6c84e5d3,1bb33199,e5c30e98,5f5eaa1d,65879a3c,703b7a50,cb04c7ec,a6c7512c,94180e16)
+,S(19f03bc4,3b61d7a8,62bb81e0,f4b84c02,7359a170,de0108f0,e9b9e9d3,95b63481,8239d21c,f31ae885,ae10c62b,8be0ee1a,95db0368,cf0488c9,4a110a76,7d22dd73)
+,S(667c2647,2261828f,2653a0eb,e70de204,29231fd8,132961dd,ba3e4853,8e332941,5758f0ef,4362f75b,c4356b3f,cd8cb2fc,3c77cb25,b7d65c8f,ef7b4096,e0d879e5)
+,S(86558922,618551b5,c4c66c50,9b81a622,ca376318,7c558ca1,8a00a00d,cf100ca8,32cd16ef,955deafe,e3fedb4e,55fd2071,8e35c1e3,736dba12,9f3c3287,4413739b)
+,S(255bfbc3,d0b0d6e,385905b4,af6ee2a0,18109db9,73788509,2d5fb275,f1b47b45,b1b1078c,afe453b9,a35fbc30,c5f605b8,4a1f61a3,1104b406,ab5014db,57e2b167)
+,S(acdae8d2,eeab48c1,9507f575,6ba60b0c,e9d5b6be,e2ac15ba,d31e8932,fe89e14e,b077540,ab137999,7e7dfb3f,5e3fff46,10c2a369,2306ac0a,418d5026,caee0466)
+,S(162b0c77,da3bc13,a62753f2,b7b19c9f,3fe864ca,66fa2dc4,226c5cd8,ca8d7112,377956e8,59c2f465,2af5159,bdfc86c,df0bd742,ec7f9eca,6e675b47,d6eda222)
+,S(9453c9ef,afb6a23e,40ebf013,eb1af363,c28a6e14,d235c7eb,58d3d142,9d1b498b,65e3b737,ede3c00b,5f322b38,9b09a68c,2ff44f30,c7737932,4e9c94c9,bdd78961)
+,S(8409ed29,38a5bec8,669e24db,88c1b6fb,b397ba64,d8a1826a,f011e2e8,32e85506,573a0053,1be979e,1ae3f2bc,3d28ce2b,7a3ec55a,bd00242e,73523a2,582500dd)
+,S(3b55d457,b1878898,9c486cf5,3d1ef107,4161330c,64fc2250,81096148,f5ea2c45,24780fa0,3e83919b,9e3491a3,7e0b76d0,f5d32f2f,a4c3aaf0,d2e7c955,43476fc6)
+,S(d3fa2c21,f4704812,a5b582f,9096fc87,422af325,5c5d006c,63e1e9ff,d2d9ebb6,a6aea607,9ed334eb,9355fbff,27650096,ab19a007,191d57b9,4a8fc12b,a59bbab9)
+,S(a938a4a9,9dc45307,29f3bac7,4fcd7241,1e56cff6,f53fb048,c727087a,9a54b374,3949a589,388ef8cf,aee8fe82,fde39e01,41ad91c5,2beaea97,e7494659,1a27bebd)
+,S(792220fa,aaf49862,479a6de2,35be75f7,e811d12,7420571f,e46213a3,e77aa93b,5f274791,31fc7585,8b82b021,52057cc4,f1686543,3eb6e22a,de56bea5,8823131e)
+,S(b1bcdf1d,57699459,1bc11d27,cb15d84e,75eb3d5b,2f9b4bd6,1c848c14,e9b7f2d1,a2115735,8c35ac77,e116a0c7,77917e62,e1d09897,316e2389,41d8e170,90adeb50)
+,S(735b746f,6f0d453a,c45cf288,6941cf13,c63899e1,a41ff3b4,cc1a4c74,a9b2ab33,e4c2b67a,c6bd7917,2478b52a,994dccd4,475cb24a,ed1eb77d,a39fbcda,9c02771f)
+,S(1640d0cd,ba4b4fc2,f3670b35,2485027e,2724ea4f,df918b72,3807870a,39fbcb2e,a0a71f4b,ba481eab,999dfc3c,15275eb6,b06d129,48000828,be4754b2,749bae30)
+,S(bff651f6,df72e476,a097231e,b496618f,6e7d621d,dfd45356,8b08c718,e138caa7,10dbc188,2d0a17fa,d769f855,bffe1a81,14183445,5d9ae144,e6eddb52,8e67f99d)
+,S(1a3fa743,cf429f3b,49e122c4,5c6d6e8d,18c633b3,f9903c9a,207f0405,c2716b69,b1b2c87e,65faf1fd,debc377a,bd9648cc,24abeb81,75efa4cb,5f0a0b06,aa2f1e28)
+,S(bc2a9ae8,e2940908,ef5420f0,9ef4c2b2,ae988e5c,c0c0efbf,62f8ea05,b305ff21,ede884fe,6b48627c,84c96869,5944be60,df3ed5c6,66f16b56,188a9e1d,6bb14e80)
+,S(8cee080c,e9204a62,502ae88a,15965abc,b2a8f18c,80f6c461,24b073f7,63990ec,3adc08be,7bea0bc2,b2c5ca91,963f4c40,bdfdaaea,318fe3c7,866229e7,e53c8fb5)
+,S(2fc784eb,f79f916f,7f57dfc5,8fc62e8d,bcdc7dc6,70d6a444,c13f397d,ed528e2c,56c58a3c,be510393,90a88028,12d03658,20141c,b1b24241,241dba91,74d6eb37)
+,S(fcd83e1c,ec7a6db9,1aef0894,cfb2e1e0,d2b48fe4,88bcd28d,c14e7824,6e62aa35,a86c9321,e2dd113b,cb7ec78a,d9d4db68,b5ddbc01,70aa0f67,5586b08d,6694a853)
+,S(4e4fc5b9,65584dc3,40cec4ed,87ab0610,d674e1c0,9d76d28f,e28888df,7f9be562,d2344fc3,de7e5372,ebd87d0c,ea5431d3,2364249c,f6c350b6,d7aa2353,26e9ac7c)
+,S(8df04fe6,e93afc18,b0508831,320caa9d,b21fb740,46bcc364,aa80564f,6f89270e,d7b37dd,2463e50c,583dde08,ca253215,4d52bd8e,a4252c55,6749641b,71ee7214)
+,S(f662c961,3102fc4f,afd27352,cc697de0,1f4a1406,f99a0656,6597b96e,cbc99305,43783b26,759a2eb7,8ba4a3cd,e865d1f6,474b1ae,26eeaa2a,15220353,f6bce384)
+,S(2052f92,b66998ca,f172ce,15cde941,484c5ee3,d3ae329c,87f339df,ae944439,3e9ef8c,9f4257d,c563509,6df8efa8,ffd2312f,60684baf,bb9e5d,9cbd04ff)
+,S(730aa6c8,9c8abb08,855bc551,1938bc46,bad8f226,4b162386,9f2e1ef7,c2d6702c,7523fb97,799e2bb2,f13ba1d,59510bec,ee682f98,f865aefa,cf3c6578,bf46ff81)
+,S(c5773c0,7d65fcb9,7cefd396,b07dfa58,1ab237a6,be3c1739,e6db944b,c7991c59,6afea6af,44ea94f3,ee67d071,4b6654a2,b1b335cb,e914d305,1a60b05d,44cb81dc)
+,S(3ef9a63a,5bdce751,48d7c585,5e3e9aec,90d34ca5,1a3b4829,979d67be,c38c83f9,145e65ae,635acb42,e7949060,fe44f350,3535d417,f3ce9e42,4c3b3d0f,b02f2c73)
+,S(a1632263,42b900e5,887b1800,196c5be5,11065746,52cb88c1,4011aae4,6d14bdc8,beda5e2c,40b55506,31aae0d3,fd9997c5,3f37169a,2d810b5b,402210c7,7c372cdc)
+,S(8c1f5646,65449ca1,f16015a,a876bdb4,4d965993,7ca6936d,5bbb80cd,c2da6d65,7cbacf98,f6f7363,8940358b,60beec4d,1cd1a1d,900f84bb,9db5f784,d4565034)
+,S(693ab562,230c1ddd,3493c64c,6f7e2bb3,a74cc535,2b7efc30,630904,e700d5a6,db890cb6,d09d5be7,ddaeec01,299880a1,2e68acdb,dd950118,3c8f5f07,739cf4e7)
+,S(d761653f,f7979336,f833ca51,b91b9e90,b2bc04f,7b7407eb,be3c8462,95d59df2,f81a5d74,446e9762,2391368a,ed154b2f,4faefa60,af93d727,8357fd6d,98537c5f)
+,S(41de1c8c,a1315711,3435ce37,c2d2efef,24a67cae,59347d23,44bebf0f,a2cecc64,77629b7f,46cf1d57,a03898fb,cc9f4e37,937daac8,12c4df74,846d8c89,60095559)
+,S(21f89207,4e3a00c9,39862265,c1762dd3,2662d182,397c1127,4ef144b7,f598b650,e6e30e11,566dce23,b7a6a06a,11e12bcc,978a6b7a,fa9297b,8c978f56,40f8b4f1)
+,S(6163f61c,628b4800,dc49f30d,dff19310,369012a8,f31d4a25,27c790b4,c51f068,4e87a17a,12055cd0,4c4bc19,e052a219,7dc5847f,ec984f9c,aebb8f81,7a7065ec)
+,S(a68ebde6,43ab3c15,72f5ab0f,85d683f2,6e6eaada,550e2425,f85596db,8e2dd200,487604ed,38a6387a,27e3cf1e,9d4865fe,7fc67e7c,ee26ab11,1f03e0a3,316de778)
+,S(9b9fd342,4e065ff5,b82e0c4e,e5efa0b1,d0991087,684c46d5,7885adcf,b352d06c,b11a7a46,570eb251,6562ae87,90eeb403,823380c4,aae99329,de713677,5b5b5e0d)
+,S(d80c347e,98db32bd,57ba5728,20c7322b,b295cc3a,ae326fd9,49e7557d,27151fc2,6d734eee,40229d19,465a0e2b,a011af39,62ff5c08,f83a2e17,e5c2783c,a430cb42)
+,S(c8aba983,5f814895,e5d05139,7b23988c,7fefedd9,aed9dd20,a9bb0025,49e63ef9,3811b18d,8310a67,532be770,45461d82,e40c0ff5,6af355a7,55ed4708,f1ab0c7b)
+,S(1bad15b0,a186d418,bb84a87d,d2fb9255,9aa64547,cf47a93f,73d23953,86b0e301,e432c50f,662da1ae,f7ee8f73,f5d7ac4b,4a4da6ee,5a943d17,7557e64b,5eeab1d2)
+,S(720fcf05,dcbb0609,e5b45efa,e055811a,66d84384,16f7091d,7ea66186,922779e1,9045fb14,37d2086e,ae7d6a64,49effaae,17e3a559,571ab010,57f20fb5,80535906)
+,S(96a540e7,8fb6647,63d3b129,8a1100b0,88a2c3e6,6da3ebe1,4b6c39cb,f01c4b2c,4debf0e5,c95b9a1,7bec7f14,12018197,88a1c325,12f60973,9d5b4909,f087b5c2)
+,S(2f068148,d385bcd9,6fd6b60,b7e331b5,88419085,3942ed16,18b464c5,9c3ca99,596f3fb9,2fa7377f,a9ecc8e5,be8421cc,77339f62,c6f1572d,7a28266e,eb66ae52)
+,S(466e9733,ef167fb7,233363de,16d9d510,74d8e5b6,35abaf38,20a037d4,f6b3e45c,73548e1b,d4d5b78b,821fb1d9,94919bac,a9d4e12e,13a2e8f2,d4c5df51,2553410e)
+,S(f8a841c,a8c7fb3c,9a334f12,cfed9ddd,d1dbd4ac,764f3c6e,87a42818,a4a8e51d,57ebf669,72e9c4fc,7c435cc6,a85d381,6a969d02,ea85edc5,63c57187,34f0f926)
+,S(d8c7d6e9,6719e74b,2eb7ae7,59d82ad2,6aa003ee,58e3d9df,ea97c7ae,6d6b887f,f1bec88e,5e8df038,b069692b,9e44245d,a11feed4,c89ff45f,17bbb6b7,1b0e43ca)
+,S(afd5e13c,cabf51c,19c39c4c,815618a6,14a4f461,5fbaab69,624d366d,540ab638,9ced3d42,5c361706,16cdba99,653c00aa,e5212c5e,939c0bf0,3e5a1cb0,a05cba0a)
+,S(fb491696,a4a1b9a1,572b462,f4628f66,b8368f3,3ce957d0,6ec29a0,92ce994e,b4fa2340,68741570,a56182bf,4f1c71eb,2c80d6a0,cffa42bf,a3e9d9da,59507de8)
+,S(96e301b1,efd54091,80e3aa96,6652a253,78ce4bd3,cf587238,f0367a58,ec45b0a2,1bcdfe49,5ed90efe,7eb853f6,6fdc5b7,365ca2ae,e1d9b787,afd41b9f,c00f308c)
+,S(9cde8d26,40d197a0,9ac00167,9b93092a,6eb8b13a,4d9fe2e5,6365a5f5,fc38d809,c86345d9,cf95fe50,40b2b2e6,2bf4267,72cdf10c,988a4f27,836d960d,c98501ef)
+,S(d33ba473,10c37342,43e2219c,f3cf4881,2e843be3,c7492d01,80239bdd,20a829f2,ac774707,a5b0888e,b2ffa131,b71035d3,6af5be1d,3a3605b5,751b92c9,9e58a45a)
+,S(6b364a32,1b5aecb3,749093e0,1b5229d6,5576e65e,1bea096c,29065a87,e26cf2aa,668ba97c,a01f659b,3687cef8,ac87dcd4,7a8a4f85,4a434f49,9592151c,b8f96152)
+,S(d0009cbf,1d0d0673,5f66c16f,5cd4747b,d33b3347,fd7f096b,a026355e,917b5015,41c10a72,3e82bec0,b92e560d,3bf1e0d8,15a22e50,3afb4bf0,e5caf771,569a7dee)
+,S(e618f641,a5b443d0,704102b5,40efb697,c470955a,8375e6b,a845c299,f377b701,9d615e53,edf6463,9b3b2d0,8684f8b6,15cf4122,33991a4b,5b7c85bb,f5698825)
+,S(789c55f5,d393228c,7cc7920,9e705d29,867a6e9e,750d05da,9bc6dbdd,36c5c49f,8f38e43a,338058c9,39c64ff4,3f8f7bf0,2a7910bf,dc2f9af9,532049df,ca236de3)
+,S(8fa4f0a8,1bacc20c,5d402478,23401597,bfbcc47b,973abe3d,71d33e2d,fee792f7,7dfac188,c5d6c17d,9e7430ed,d9038a6,e6fcf47,174347d8,7a68aa4e,cdc46c38)
+,S(4d5f8d87,9377b056,afd4c8df,54a48673,c43fce03,d05be56a,56c42a23,356c34a2,b064c60f,a3b75513,577c171d,68acbef6,ac96f665,6a899d54,29e9427b,533b8e36)
+,S(7a409ee0,8299930e,ddfc1e4a,db8475ca,9a99bf4f,a178a8b2,540ae448,ac87a3b1,5c4873af,c8a079cc,38a385c7,2ca039d4,4363425e,67de4cd4,15d09514,50f28e17)
+,S(ac327275,44973221,dfb8b577,e33bd935,76407a86,77a1a842,bb04832f,68304e88,2b41b0de,3e406560,a57978e6,3359a911,6f993a91,9dd1c2ca,79c9a36a,6a4c8815)
+,S(f9168fd3,973728c1,30dda9c6,907912d3,2e6cf9fb,b1c7a058,cc948f4e,44282720,c7005217,a6adf515,d8d3a87a,7e8a8b2e,aeb470db,c014824c,733e9a7b,17111677)
+,S(818b9a9a,295d8f3b,bfb69d3a,f4749e5e,b0c1c04c,838ac3b2,9e74f6e5,dc73281a,141d14ab,64b3023c,597e96c9,3fdf393a,b53f45f4,56cd17a2,bd917af5,dca8daa5)
+,S(90a416a9,dba0e05,bdd25dce,2dd0b0d9,200aef56,a6c0e16c,748e7d4c,99cac1c7,bc871391,95a2f128,af9c9c0d,56bff605,2fc27648,4e0a855d,6472f0e9,a779e0dc)
+,S(678248e3,d48fd800,8e694890,b442d3f8,4f851881,9b152a6f,da24a6ea,88e1efb8,fa5d302b,51a36e66,98477693,9ba9c095,eb8b78c1,8f1bb114,53cb1904,a2185615)
+,S(c2333e2e,742bb244,b7dac90a,18c2e65c,1dcb447b,11f8596c,bb3fcb8a,1e85195d,d15b8771,a31ff36d,b46b9ca1,b0ba345e,b877b7ec,48de20d4,71792a78,17ee826f)
+,S(7d562291,9c72b694,d81bd71a,e78204af,995a63bf,3e8ecb3c,d9b3f589,c75ef8d8,aa554f52,67d9d3a5,8d35cf02,191b533d,ffdebf32,dde4cf07,252ef949,ec7df6bc)
+,S(c5023f92,698f955e,4fcf7fda,288673ba,97b4d275,7f26f25a,c63ccfe9,155232b4,7d9dbce,def550c4,ee4c881f,69010859,c7a09ea5,36a8f7d7,17c1573d,c5db971f)
+,S(37dc82b2,ed0e9533,e87867e8,d1eb57ed,707f335,b081d14d,d57aa247,645bb1d5,ff0c021a,d28649f2,3f000ae1,123f909f,1c803a9d,98ef2487,bf5d44bd,a97068dc)
+,S(ceae1d30,2bf19dd3,a952ac79,8426244d,968b6ddf,25e16357,553f7636,a15ba8ed,c5a3a752,4d05206,39ecb8b,bf4282df,a1f9c795,ea74410a,ed9e064f,9a37c70)
+,S(8bd49da5,fdb92648,f321bfc4,2d8145c5,20b8dea1,46b2bbf2,7a054698,3eb6574f,f769854c,5b5c9058,20ab0765,1a6d8104,e9a9dd1c,7aea6425,2b239ba9,7b0609f4)
+,S(d1553a8,9a5226bb,3c5b6296,9f094b2c,1b761aaf,2605b0ba,b3793f6c,6959e8ee,d7b11159,d289d42b,8ca2889,f3dd7d01,e1cd0e5a,745b9f12,ab98b823,3211b2fc)
+,S(ccf443ea,d8b17d4c,ec59ab81,74f1b1b4,8b6c3934,6e64a955,c617336e,aa6abc89,5cdbd39c,64510cdd,b342cce2,62915966,f8cef7cd,e10f4a7c,41a0d495,e5bdccd1)
+,S(f95ad24e,7accb2b4,ce6afabf,6c1a40a0,172cf2b8,42871778,881ad94e,3f3d8d57,f3142d40,377543bb,6dee8195,743a6d73,e60dc5ef,4b0756eb,68d09d6e,326caf5b)
+,S(464189d2,52726cd2,6f5ad4ca,5184503f,c546144a,ce7dfb32,5e4b4147,da7bcaba,910f8aae,acb04646,3c6a2a31,6174510d,8ae8bac9,fdce4c47,6c0dbd62,5196e2f9)
+,S(637d373a,7355334e,70c78ae4,99429ce2,a5d97257,c0f407b8,1cb41704,d1b36415,469fa81,5dba5bd8,bb53a5fa,aff5b4c,18e7c28e,fbf21f52,14359d6c,7114c818)
+,S(b489330e,2a4a4a6e,a99091aa,4e5aebaf,dcdba016,2bbc38df,5a49d4e4,7eee62b6,e1fed3d,93333ae9,2198b85e,fd68582a,35f6fb60,ff268494,720b387b,b3a7543e)
+,S(8f2fbd92,70781f54,9d32ca01,2479438,2ec9cad6,2151c893,64c1cefb,c2324b12,2ae5c8a,2e018e74,2089a4b,12082c73,ba466dc9,851e7226,388e48ae,b1270a1d)
+,S(a1871963,e9a65bd3,9e1b667c,55fe1a1b,87fe4215,8273c6c,f338f8cd,9119a828,e6881210,adb32d79,10dfe9da,c46c728b,20bca3e1,ad130240,f0dac7b9,fcc0cbc7)
+,S(4a91a506,e8b32ca,13cbad7,99c4e3d7,21fd64c9,7ac8a1b1,e7f4bf2b,cc0ffa1e,66a0ee78,cb63bdd0,1a7c4bed,7bb565fe,832eb2c2,d32f2032,c33935f3,f16a40ca)
+,S(61c960ef,2a3a6244,e8e7ee79,d4f5e98,88539c0a,b8be739b,314a100a,375ab66f,13b94913,ac8f600d,dbe9a82e,8987a061,3672629e,45d7d887,822faff2,60fb9e08)
+,S(10325f87,f797c48b,2e6c7acb,bc0aa0e0,537fbf59,e74ab9fa,a7630c9b,86a04b72,685c5ae7,26b5c9c0,31e1c830,d513db4,b7fda140,14f8b723,7a9da11c,7ce9403f)
+,S(71bca019,c15a3534,e5bebab0,6e1e1821,1ab01e97,dd24e1f9,1f89f834,b2cfde74,102387d9,a8da4f7,a483480b,316f0303,2178e668,f7a72719,2ae7e54d,27314a8e)
+,S(7d30b01c,5c93abf8,9a50d14a,535a88f6,7cbb535b,1e58540,661fd7ea,91121fe6,e3d7e70d,1a9c0cb,2d6c86df,53709d18,b1989a5e,7642c1b7,cb381338,f6ed96d2)
+,S(6f0322af,c1617968,b2550b3a,cafc8d0b,9445fd7a,4692f933,3ae9146e,fa2d3a4e,ba402962,d311b424,d05f199d,31b07d5c,8534ccff,caf817e0,88712bb4,2e6496a1)
+,S(a3719ef2,c34bce90,feb7668c,a07d1a23,e2e6fbbe,1eef4b93,d2995e84,2c74688a,7164f77b,67aadb53,30b4127c,2d71dc46,f11e2d72,25968163,f4ea7358,134e5d56)
+,S(3cb0007a,d2f1fb76,aa9752f0,218e2498,b7217440,a6a5136,68e95a78,4f71a72a,2f498749,12e8f469,e511b7a2,5a5046c0,f922a343,24620b51,3f6f0160,6de6b308)
+,S(26b62d6e,f46929fd,88f00ca5,a699ac87,e090ab0c,8f02a078,393fb3ad,ae18c055,4fb9e53d,1b643585,4f2c78ed,1a818a80,1ff62c5d,fb0f8f23,d5e4d096,29886fbc)
+,S(55e9ad69,68f490d,bfc2e17b,4e90dc5f,58335c1f,7bf30d44,79679acc,8cd7442,d4df7806,f74d9701,378ea804,be9a6270,85767e0f,b816ddec,4dbe34d9,536fe892)
+,S(74a87add,723320ea,f1f9c35c,eddb6133,79835723,c74bc043,af36aeb3,5e1cbc45,5c79ef91,bccc2579,eea907ac,85ff8c0a,57fb48a7,c273f9af,6113e177,588fb14c)
+,S(d4f1a9e0,2189ffca,c1d9914c,177fd66e,9d9a41cf,d1a38626,aed6b82f,70ba8020,923bf669,6ad7c71b,bfd696f3,9d68373b,9d0cbad,f367363e,2f70a93,4a0dea5c)
+,S(593c7afd,c178edf,9eae7fb0,85984992,bc5ca489,16a2a155,a0314d8e,31fed706,ef39bd47,64f3b3b4,cd505e3a,628197df,5aa74126,30d83793,75c85b27,76a1073f)
+,S(6622a6ea,569856b4,23e9f68a,78bab680,759a0089,3f6f645b,2e0eae60,f5dc9d3d,e84d491a,1bfc3127,3cfecf5b,65621213,bdf1af30,2dd39d26,d756e75c,4f9bc86d)
+,S(d7149e32,fb34d956,1f5b25d0,650409f7,33a28fc1,fa4ad822,eabe98c6,74b3437d,2c249dbd,a1a82561,51b6eca8,a44bad96,1b2d37c6,d01c1d1a,70ceaa38,9b3f5039)
+,S(64058ff8,7cadb65,8efbf32f,a68b7b3f,19915f5f,b434830f,bd5ca208,a4a09b6f,71c6dc90,f4d8082f,72d5697e,48fb380b,8486d7e1,5f113cc,28365ef7,d3ee9999)
+,S(6a6cbb7f,5b571865,d70ec29d,425115a0,82d1fc1,f0209e8d,47be5e5,a9965dfc,fbf10d18,f3af0e94,b2a6ed30,c610f17f,5bd571a,41d073c4,2b2a4dce,c98ced0c)
+,S(3f9a9be2,9a72cf7f,2086d9ff,3701a35a,94a7f81d,4b34a364,916a45e0,d8652874,25b12751,5ff033c1,70feaee1,189a35d8,ba0b8da,d4c943bb,4fdcebd2,1cffdf72)
+,S(873be5e6,3cca17ca,95980167,9568b487,3d34c5ce,68abd305,169917a7,30dd206f,6ea148c1,280396a0,7ea5c5a4,17980f48,d076bdab,3df1628a,89da4c45,14bcbd4c)
+,S(17865995,f28d4c4f,43e2e9f5,9b20edfd,830a65cd,d632cf9e,e7024ec3,4da0834a,6773c06d,478f3822,86c749c,5ae09a10,910b5666,5b6df747,36d20adc,af58332c)
+,S(efe91146,fdfc4865,bd784853,ef79b8d4,d2f020db,3f901f45,38c74c80,bef49172,a81a34a8,dc3a229,8348109c,14d367c8,7abe6753,50d013e0,b1b0372d,2a6ee5ba)
+,S(7ee6fb63,36cc88be,3b3c2821,1552031f,d017aa4e,192bc122,973545bf,924e8a8e,a656fe25,846e8173,327ab11b,d8ecd2ed,9d1909fb,21d1f789,588b4fa9,a8ceb0d8)
+,S(449677d0,2a78e9a,ce374016,e19e7fae,46efd0d6,4839680a,4d5cbc42,173ee605,47017ad3,3357db8b,ceca2513,c6477157,f3daa99,9cccb709,bbe88340,29312013)
+,S(ca9db080,12b9fd4a,cef2255e,83f35fb,e20806f3,9839c2a1,699c5d03,d7b5762,6a1a811,3d82a60b,677d61c0,af995bd1,4c598f08,f915e971,d9f17e9f,8398487b)
+,S(d040da2,8dd69fc,67414651,714d4e94,5a27c4a2,9fb44612,d6d87f4f,80e2ba45,a1a72b85,957a01ca,8c8d5d3e,d9ae6a2b,31d2d192,cd7afb9a,4d1e4629,aeb9f356)
+,S(27eeb708,fd2d52a9,47f69872,3706b67a,1d6e29b,cc0c86e8,111057f1,e3655608,7f67db4c,25b2e88e,275e53c1,c52eb47f,c2dab668,64b91236,522229d3,1b001a94)
+,S(3bc82484,daab22ad,6d887a01,ea9f4b38,bb70e272,b15a7b4d,ab5e3dd2,439d8a23,b0ec952e,6cfe3ed7,4e6246d1,46c9c354,dacbc024,45b1af9a,6a668f0f,6fd52ded)
+,S(d0a00060,13596198,8f070ff6,7ea731be,7f97a51f,68faf899,95eb0ad7,746aec69,dde4a735,d6dd08cc,28e2588e,9af0eed7,57017b38,790d381f,74748f30,9717a989)
+,S(8efc4c50,51c65e10,56f5ccb6,a4be2014,a9dd043b,641b7690,cae2a8a9,1bbe8ecb,26fd1112,e1aa603c,91eb458e,3874d010,db58efab,5dd9ed20,e156886a,5f39fc13)
+,S(e42271b8,881306ce,f166138,7d14f0d,da0db64a,b379368e,fa79969f,432cb110,d2b9999e,7ce9f3c5,8a6c77ce,a97cb9f5,f2860299,9bacdc7a,b7d5487f,8b5c9f5b)
+,S(bb068f3f,8e7fbd31,f3aaf96f,de53d134,e3a88b63,9d8d43c6,4b3a2b45,2f8de740,574410bf,903c173e,23d88fb1,3f7534fe,566984c1,aa10f0d0,f54eea9e,7883819b)
+,S(a3d0bd11,d728bee1,b166dff1,81c3682d,650fde7f,285ed5ef,b2ac5033,5327cd66,3e290c2a,42afb4ed,8b5a685f,69bdd379,44215104,17a61d8d,bd3dd2cd,805c5f44)
+,S(9884434,78bfd51b,d27d04df,b5282a72,4cf82c21,487a8733,9347e560,994debdc,545574c4,359fe553,b694803c,5a07339b,b4e1a95a,b9fc72c7,5d4c8f5d,ec6ce4df)
+,S(8cc104b8,58b8fb94,e0771dce,a103a7ae,adfc50cc,dea4cf93,a5f4ec9a,d44acea3,ad73883f,57c470cf,d477f228,8badab99,938b6723,516f97b1,22578f2b,f893b506)
+,S(1627b08d,a822d244,ec8fe2e7,d8f02094,111fa362,e7190cbc,11229a4c,2043c626,41f6b029,80fb1370,c1e800de,39507798,8b6f315c,f910bb00,423ff727,e9e04c3c)
+,S(459d4b1f,2676fd9c,2aac5937,376dc18c,fd4244d9,dc937407,d641e0d5,491df69,6f22ce37,a6ea6a5d,c9823197,22b0085a,e61fe140,d7558fcf,7bb44976,5de7aae6)
+,S(cdfc7b3a,b755c181,72882e37,ff641e2a,94fa4e5e,b1b2947,4cd6e94b,f4f9387,76a11dae,107bced7,c2870dd,62ef183a,d45a02be,ce33e333,dea061fb,d89e787)
+,S(5e189861,b1615f76,ac416236,e84b0961,b2639845,ecf6e6ee,8dc33217,b0952afd,1cfc65b0,9194d1f9,71136626,a2c3896f,5a3de705,ff1009c3,49a09c86,ea1667e1)
+,S(84749eb3,3d482c59,81cc08bb,8634bad,fe0572d1,42367cc8,57a3c399,821d12c2,146a4fa2,3fecc0de,f00299c0,19406b30,dfbd9ad0,975717c8,7630e726,6e96022e)
+,S(d73a1958,e9aa29b3,b1ab0807,2165c06f,daa38c90,6be76384,1851fa3,5711bca3,41f13f90,20633dac,3a5eca40,229ad15b,434c4f8d,4ea570ff,76d15d4f,63ea882e)
+,S(1d77616e,1ccf1fda,bd4f0beb,6b60c1b3,1b94576e,bf2b61b8,c085cd79,caf8c018,7d3e5813,cf181271,55f3d084,df1077eb,2bfc9d6b,8ab6ede9,55c0ba4e,5095f23c)
+,S(bac936d3,63887dab,cf27ea02,50bd550e,db37cb71,a2a8351f,fabcb1d,6d6ca9c4,7aa18819,8bd513e6,b45d6633,aa1af70d,b1a9c432,ffd1be4f,8a8fda79,a38c47f6)
+,S(4d18c5c7,51639d86,b21712fe,b2333d52,5f4bd3f5,e4208537,e1e3bf7a,9343475f,2a60352a,4d8fcb6a,ce01b4c7,63619f16,156868c2,d85e882e,a2e7fb80,16f6500d)
+,S(8e473caf,d74fb06,b483d955,ba3e35ec,e99a4495,cc86485,a8b6fada,c4c8eb4f,41708d5d,ae2de832,c7c38389,d0ae46c4,46add069,8e83990f,52a545f1,6ef66942)
+,S(91366f76,48ed27a9,2ab639ac,f37aba5c,44e8bea6,1402e075,e307c4fa,ea2cefa8,868fe0f5,565092ad,677eb1c9,8959affe,5af504a0,c929bb58,2f5c3263,114ea371)
+,S(1eab20f6,51b63685,a0a8489b,4e3247ce,1592c4db,40cb2f90,7eff1c58,c6609915,c142e9f4,b9522b0f,1db90912,c6f83c7,add6d8a,6bd1de4b,c54503a8,4e873cce)
+,S(a0652eda,796ff72a,eaf8cfef,371594fb,e1528929,1320230d,2bc6a252,f4b49484,67e6d40e,8aaca7cd,f2a2047a,fc0a59c3,b4eddc1f,d3d5662f,45bb5792,9e4dc9a3)
+,S(83915afa,c936886a,3deb8958,70e926e9,7ee4a6ab,1a5c66b,a1602c13,c4f959f1,86dad7b8,e870dba7,712ca968,1ab63524,2ed55fe0,36a148fe,25b1bdb1,1ac2da4c)
+,S(293f0bc4,11454959,86b19fb8,6f738d2c,814523f8,b75b280,f8f9021f,95db6061,12d98ddc,894669fa,86b073e6,5855a0a1,760733e7,b7c5bf5e,868dd977,82a4fdbd)
+,S(a829b1c0,d6780732,321871da,2d28ecdf,18d13311,4ddc33aa,8ff4caf0,58fb9ad,c5375298,501294a4,dc38d1f,a8c96f9b,789ee9c5,6533643e,1142bce6,8e1ef5ef)
+,S(48133900,866a344,68309fc0,cc18f79,c0e01dfd,ed6a7bb4,e5a4697d,4b9cd462,335b7188,ccea4687,50fcdfc9,a6fa6034,c239fe6b,27cf6460,182a1c0e,c8c96707)
+,S(7fe9d310,bbdaa101,b28c1e71,137a7ab5,181dca39,aa8d1469,bc06c856,3c7a70ec,18006c39,538a5141,2371828a,4d73e02,f4699a34,7e887318,57e394fe,75c8143c)
+,S(1bd5b65b,d79c3eb,54ee1ce2,541b4352,1b7d6c37,d2a26f21,b51d2c07,103ebd8b,66e81b90,a120f04b,340adb2c,42143ef6,5d8a383,46e71856,673090ef,291d7bf2)
+,S(237374f9,306e5714,5f37a1ce,1418a238,73938fa0,8bb971ab,fb5d97e8,e5fa0206,d8410815,fd4049e,f54abd51,fe2053a9,bde7f3ac,f40fe992,21bdcf8d,4b9808a5)
+,S(33279bf7,38cee621,c17f75eb,bf78af4,58c1a4ef,a7197456,b57ee679,f2c34bfd,d63a21a4,5dc29462,13750d88,ea5e12c9,900b110b,ce433c49,e9b37382,7de327ac)
+,S(ee274c71,b1f43251,11d7e100,5d7e9d97,ed1590d8,95cc6504,3e8ed6e5,5a87a9b,73f2bd1b,1baec4f8,ebbcf9ec,f613869e,8a262d99,7bdee49c,c5b2fb22,b652e9dd)
+,S(2f49f0ab,c24536a3,3bb0857d,57c35846,f5dd036,3851a873,46f93d0e,53ab8de2,66b3dcd,d367958f,fd06121b,e42237a0,a9edaf21,79ded853,e8bf3c5,b6a81531)
+,S(2d122193,ea92ca9b,46eec10e,2a23268e,9b1f972e,91821489,8cb12571,1e3094b0,b54d4b85,a02f77a1,57a48001,c0a26c81,2c038d0f,b91575cd,835183ff,3a0b7071)
+,S(9047eae7,841f346a,374131ee,d4299fef,970f59e1,e4bb1fab,819fecb7,3026ad44,d59d3d2a,2c03be1e,553a54d,2dc61c9,e13364bf,3338a5f0,4e4466b6,86695061)
+,S(f689480d,c0ddd61c,ba5aefe3,17aaa497,c2d051ed,d527cc20,16877986,12d7c8f,dac41495,a948d83e,37a9f310,18cd7abf,6d5608f2,213aa5cb,7a2b8f90,98d87398)
+,S(4a01c418,be472958,5bae0c45,cf6233b9,ad0177ef,eb6e74ca,ded59788,a22d083a,8a12550b,83de095f,22411b16,937a85b5,a079c7ea,b8137f80,ffa66116,2a1c53f2)
+,S(a6c715ad,cdc77020,febc4ae7,c6caf5a1,107147ba,8281d3f3,7945682e,72a5da7c,69b4ce46,2634da4e,e9e43559,72f87511,a26718d1,d232f726,577f0d5,6b49d165)
+,S(68ecec4f,aa19ac3d,dd8b928e,8362ed53,3be24406,15f5ddf8,4b8a376b,cbff327d,f725f978,f6129f28,49a1c9fe,b07bc2b2,78fcdf4a,96a6ee3a,70b9b943,98a89f3d)
+,S(5701d52e,2cdb7b71,a9ed91e6,95396487,1b656bc7,271299b,62ce0a4a,78dc69ee,eb8e4539,be99cbf0,ad730fa5,fcf785b7,35e1f5ad,f5c16c72,85abfeee,4058ea1b)
+,S(8210f0c4,4b2f54b0,62de4761,b7c62d87,42424b13,ca0448ca,ba999eab,73b26409,1c79890,e4149248,b9dcd496,1da563f1,517275ec,79949969,8c6b864f,c03f8050)
+,S(64cb2793,4ee57641,9d52cd81,6144543b,e4319d16,fdde7a7e,2bd824c,113bc1b7,c3144c3a,518eaebb,51a55bba,d87aba0a,12d3add5,5a5e00c0,94a2e227,80f0f6b7)
+,S(37eb1010,acb889,932d8536,b86648e7,c124a8f5,1005c0fd,ec40bdd3,6369c82a,1da5703f,b387312d,d5a337c2,2d3f63b7,33dcc994,38109c2c,4807fc45,c02a2717)
+,S(84bbf980,b54d60e1,ccfacb7,e861aded,b4cd7bd1,a3f7baa0,9a1898fa,22144d2b,3820c4d2,7b545166,2515064c,dc9b4cf,813c2435,e84a4a67,ba47068a,e6e09045)
+,S(29e74c02,6b43add6,939ae05b,dc0a5e0e,b7d05bc0,536e23f8,8fed55e0,6f93f1f7,f0f6fd9c,798732c2,1dd1c550,3cfbd56a,71b335d3,aaa22359,75fb0c89,9571186c)
+,S(98f3530,1122a0d2,629e5adc,579acbf8,8c0aea34,c3450ea6,784c4ce5,ee9672f1,427b899e,74e0c5cc,c289304d,b9a874c5,1d401369,55dc5b03,e0713bb0,8c3ec3ac)
+,S(16af2e5c,4c37b50f,5f2b6e94,341e365c,90548d68,2bd9af37,1d849126,ad2c6c6b,1dd1bef1,6077f6df,32054335,c81ff474,33b7c1c7,d6243dbf,6a2564b0,fb9d8502)
+,S(56998d6,bd5b2da6,d452f951,5343a9bc,4ed64463,adc6b8df,6a3edd64,e75e1cbc,ccd52462,9dbda3a3,10f3beac,7b3d3bb2,f1bf3c50,bca242ba,224861c8,1f26760f)
+,S(f1732044,ec59c52,86273115,3c53aee0,c7f1c4df,e6e55cb0,e7e37d62,c1e11ce9,16a547b9,a61a6c10,4df1d1a9,de99f54,b42e0ad1,104a6a30,e6e616c4,dcadb2a2)
+,S(6e5fcc4d,2df77b2b,8d2f95dc,56ddb885,6030f9af,aa51d86e,20d4772a,854b8973,11939a24,26c1ad6f,90db151e,c5c9f036,3f0b6898,2464fe92,c33aeedc,77347660)
+,S(74a3ff02,98c3cbde,ba066554,d6def895,3954af05,f0f72365,680b7b8,4c5e9fc8,23b5f011,e50dd2b6,9c5ad6b,b4dad524,9c6a8abd,f134c232,f40de18c,3c65206)
+,S(12a40a59,169e806c,8e32deb6,7e64c615,77a3ca,5c56723d,ebc98ed3,11983bc1,9d97709a,9c644c8e,3fcda745,a70cf3be,c405d230,eedac78f,96792bce,a715c081)
+,S(f25dcc0c,5ae3f442,7fc17acc,bf888557,82673050,c3594abf,cea7eec4,7a4662af,52a20297,bb9213cd,d1b4f1f3,4f6168aa,ec2d326e,d9aef5eb,5b497c39,e0642e0b)
+,S(fe31ac7b,ee45ffd7,99941eb1,8d65cb2d,38618938,c6278e45,4b87e41b,3c7d0f90,a5f1be4b,e0373cea,c3137a8a,c5b5cab3,e1209c93,2d49b245,eb99a0c6,469c3e64)
+,S(c0ff7403,2855c2c9,ba06c2fc,6c9a8fc5,29b4ebb8,be082951,475196b0,ca4d6711,2c53707e,540e0c03,27a10980,25e356a,81fa6a48,b1e41d78,b7fe5515,b022173f)
+,S(5b23e392,b87bef43,a3c08956,e1930c10,cae049e,b6f041f9,1bf3de75,4a84f984,c905adbc,337b9e7d,78781dd5,deaa0590,18e20bc3,5114c842,72343879,7a37987e)
+,S(2100a6c5,b6b96ad6,37e13430,8d92e2cd,97902da4,7a016ccb,63a20cef,e72ac25c,a1fdc3cf,93560ea3,8418c470,679c5389,7bcc12aa,dc87ee6c,3429c68f,690f7e11)
+,S(d57874e,509198e9,ee6ac826,b101ab2d,fe952895,ab288184,55f2d85a,eb2c3387,1c7bd36b,cdb6debc,99228b,341abac2,94dfd768,c9e00e73,8aa58339,d226f940)
+,S(ff91057a,e46817be,b3874656,42afecb2,a290d31d,f18c6da3,d6313565,99657c4d,a2bb1559,96ca6cbe,2a375c3e,510df603,69d0cd8,f66d6571,9f9866f8,c6e73675)
+,S(7f20e461,ee306c4d,7db625b3,49906235,14aca551,21b7890f,244de5e5,84d18b7f,8cc69fd1,eeb89a9f,9e126be4,3983ed45,d88c22fc,89f47006,ecd57431,4eb5d1c5)
+,S(7ca32320,75421226,257670e4,5f277f4d,32cc7b4d,53588423,317203cc,b787696d,1e940799,8f25b7da,8f1212ba,c1dceaae,ca7b1952,26655535,6a98769c,b3da15fd)
+,S(bcb7060e,f2685623,9aac249b,f603ce7d,b5c253a2,c998e44c,4ed60db6,730d5450,e03df58e,6d279025,955a4f52,dfce586b,f427e376,ca72e09,36d80c31,5047f57)
+,S(30387990,3157ac6,fed71113,a004284e,82fdfc7a,3e08c0ff,1ff5dbc5,dbdfc04c,7132084a,1230ecfb,200ded60,9a1666a5,2f574014,d29475e1,6a061330,fbe19e7f)
+,S(c5b3aa24,1147d664,a0b80f33,5dfefed8,a8f7c1a8,c6258686,cb16e3c,c365a249,fb5143c6,5f8907b9,a44f10fd,27064fef,93ee588f,9e77a65b,1cf64e4f,956f5748)
+,S(11d8bdb2,b750146d,d78d8c55,6e6ac45f,4d34f1ae,35332673,cbb46bdd,3d76d9a9,1ea28ad5,c92761b8,7df96987,6e5b3243,9fe97661,87b5978a,d7515288,f30a5970)
+,S(d6db4c60,742914e,c9c7bfa0,7a716cc5,f5492aa8,5381f31d,f76d089d,a773814d,b0ca5fa3,bc5d1fa2,c62a657d,77215b49,82f72e89,b138552d,bdea8166,359b6a3d)
+,S(d28a6123,3b4e073,f1242c4f,5292bf70,9e1ae15e,a654bae3,4239133c,4a8a86e8,89519c8,8c44b38e,ad5c2ace,52d01de1,d74ee0de,5365567,cf1b21b2,2ae8b95)
+,S(ff32042b,6a943772,d6f5794a,43420218,2ed31ac2,447167ba,ec82d19b,86751337,16961368,e20f2550,383268c3,9fe62fe3,b5d356b1,da2e4231,8f9618e3,13655f0e)
+,S(f2c6177,30a9870f,5999ed69,d34efac3,589baa96,9f660cf9,ac839eee,a10e374c,fbb2480e,b6f191c0,15ee3c58,bd950aa6,7bee7569,1681250e,502e1d76,b6ec9069)
+,S(dca14b70,e5e33022,eb559d90,1cf3a533,4c40bd45,7a43df85,e87acd40,90342539,7d038e51,30f77ec7,efe84748,4145594f,87d613bb,85a95715,9d0cd377,91678d23)
+,S(9cbb407d,acc7c2df,2d86a258,d5ab2b43,31a18bea,9480f5e3,7727aef7,644416cf,7ab9fb64,c5f54f6a,4e5529b6,eb7834ae,80283bcd,c3f6b24a,8a014d02,b3b80b57)
+,S(4552c48f,2d96ef41,aaf27778,a7ab4945,e4f2a2fb,7e1564ee,c375e50e,3516f555,e63da54e,28b70a99,5f35a1ac,3a25e384,6efafcbe,4e8f73fe,d84e095f,126524ac)
+,S(b4cfb90b,168dc850,36559181,3d2d084a,9866512,9396f76,879280f2,38e4af3f,cfca0080,37006c35,7fd89c5a,1d444d19,5fd72d4,17fee670,e7b743dd,57f71b00)
+,S(8e264996,e4e8a858,a1e32c59,b0df640b,a096401c,e77be6ee,ccd228d9,67dada3f,c9f5a8bc,89322e56,838c6d8d,859b6012,6d0a40f2,8377aca6,b5b4dacd,44931d0e)
+,S(34ea02ae,49a4dce2,5ec2dc07,c71e3400,390b3054,83b8f30a,81021eef,5761ed99,b4b6f9ea,c41bf9d6,c4bba143,4639fd57,b8735d27,6098e374,d9324319,3def4c1b)
+,S(bd391dfd,8569db85,b567c36c,5e6c378c,c152ad9b,c23d1fd6,1af23e29,543a56c3,9bf167d2,77e6bca3,a8d3cce7,61a36abe,91fcad0d,8d6ce398,877d3748,f2f13bf)
+,S(67b295aa,440c8807,95369b98,c67d1d5c,1b9265af,58541994,7353c0bc,47ea8483,c94a0287,f2983c42,14f3baca,a8c5c791,d4d88fb7,30eb5b3d,4309f5cb,c5706f23)
+,S(755e0335,284ad31b,5afb5775,fa191486,32b29c84,f38cafce,1b0b3b4f,2d073a42,c4506c75,c8cc96d2,8e31766e,a8ed1cf,531f4f7c,73888831,65f825d2,2b74c47d)
+,S(e4b0cb3a,6149079b,5e47ccd,bfc4f351,64e575c9,20cd9827,a83f68e7,e5ba0a97,1604e71a,afa83b19,61bdd7ae,e4be5113,f9e9ddc2,29957255,cfe40341,9e45e5f4)
+,S(3baca490,3147531c,905a2c73,277e4f39,c27ff6e5,41f6f2b,3ed4f730,3af0c4a,cf36fade,87b988ee,a4ccec6b,6b70ec01,d057173f,3aa7c79a,6bf4d412,d4bcafbc)
+,S(229519e8,2a4dd2e7,ae77d713,21fbc8ff,f31191ee,6604823c,a6aefe03,19d06d95,a70e9af6,14ae7a1f,76224b8f,f5d1fc26,2e34707e,a6bfd26c,8cd7fba9,b5627e15)
+,S(59364b22,4a53ed1a,7dbe9753,1b3a2600,2f700045,b0576733,8ee87a9b,2559dd54,b08cc507,70f5f3d8,851908b7,ed79ebc9,7f4f7342,61de0752,e14237c2,14eb5f6)
+,S(d4b681cb,f3467c9c,649fd640,7991b4ac,3c66bf50,26ae93f9,e9b0238,9fb7c1f2,6df1a03f,4a5f00f4,8356bb9f,b23f1621,bb18a8e0,5afac4ce,4edbb01f,99a27000)
+,S(49784426,fb036d23,a289f4f5,b3b92535,76da111f,ffcefdb6,a4163e55,2c56bc,76de5ca2,16ce703c,6a62ea4c,a0f7ae07,3744a22d,6db67389,9b0e93ff,a69e2a9d)
+,S(5b213b9d,3f84b248,a98fe326,929b94a9,7bf78521,106a83fc,adba632c,8ed4892f,8eec203e,d015749f,f01402b1,722214d2,b58af86a,95384ae1,c39a7780,5623a204)
+,S(6bb55cfb,9e3f5468,966711b8,6343e4af,6e372d04,ee7f570c,6a12005d,628959ef,75359562,9d633c9f,c2432ad5,f4c9f00,c6f54005,cdffaf82,438e3e58,70d14154)
+,S(d760efaa,3a9e5c7a,967174a4,705baafe,d230dadb,4c957cf0,c025ab55,4b2eeb43,c019790a,b1b8498b,58daa784,ba02b7b5,672ba2b6,13d312cb,b4563f6f,e26675ce)
+,S(f8be7bdc,6a361b6b,2844c60b,af7fec1a,216d75f6,96418734,337f9ccb,ae9117c0,df66b665,21e3dccf,639a323,5d773c21,4364062f,c5260323,3007e2cc,457d783a)
+,S(6bbd2558,84348c88,c75a8155,6529be50,93b06a4,885c5d32,f1047357,a11434a2,842f9093,fd41b2a2,153727ae,ca2cbf00,a494ab7b,eef1a2cd,8696e972,1b1491d1)
+,S(e692623d,cda3bde3,d32c1c01,f480d21f,9ccf8f1c,416a7dd5,17f1aab,12d3f3c6,30dab6f8,71f4c6d4,c768e086,fd6287ad,3fd000bc,3b04aa70,35cf441d,44764b89)
+,S(86dbfe13,5db905ef,9ec7483c,6f51b75a,71726a1a,27e5131,8d6c0b2c,b0b933c2,371f23bd,45c46d3c,18056f23,10ab6afa,1259c88a,3a55f8ce,cecaea71,aea083a0)
+,S(7ee329d5,9c625a92,594e620,4cb48559,458514f8,da94c7ba,fd2a4835,a4f10239,80a58a2b,e17f32da,dc80038c,7ed57de4,c7c561c6,69bf6786,57ee72ae,dd2bef04)
+,S(e16a922b,8255d2c9,6ef776b,cda14285,b1cad5f7,62f75465,f8c82695,cf1065c2,44bc0e38,df9ce403,a927cb01,849e166e,6838468d,c7a8bd4e,6ec3fbbe,1f3465bd)
+,S(5311e064,23145aa3,10737d38,41adf49b,988c1ca8,e8a705ca,3ca67f98,f756fe87,21c3f6ef,73bcca3a,c376e20f,dec775af,e22e708e,7e500c24,23114b4c,84ea8678)
+,S(c09eda1d,dad1ca36,a9aaefdc,d16c5f50,a6ae499f,2cdefa2e,e5b61ab6,69f7fdf3,2220cbe5,bc279362,c5506404,e1df076,52624966,e3222b7a,62a1f7f9,faf00500)
+,S(8888e104,18fb5c16,fc3c2b7e,b9ea06c1,da2df71f,c647b989,e71662a1,731628b4,7444a776,fa8f5bbe,959c71e2,c919b761,a2f8fdcb,5e66e5b,65e561e0,928e2d73)
+,S(5c70258c,c1030231,d897c9a9,199df5b5,8b920f59,18141ece,d84bbcb8,b9b6c243,d627669a,e3dbb6d8,57d65a42,ec53bdf1,c688492,d189b1b8,67b75c3,f003ff90)
+,S(eb58739b,878ea9f6,74b16f8a,406e7135,1ef06377,d9be32e8,1f657648,60e35ae0,752ae84c,8db0c7f4,e956d2b4,5750a5ef,24ea454,8f275f0,52b59ead,e3405ab5)
+,S(996af698,ef26245e,35e4845a,dbf9c45d,6fec5564,c1fab0b4,8ac78f06,9840e0e7,a86b564c,ee788008,bbb04ee,e3d66c42,3c6910e7,7988aa54,420f3a4d,3137a1b5)
+,S(bd03f2ea,a505bdd,7f39915,23f3e3b7,7532335a,6b5a11a1,4e303542,c00b8f4b,345f765f,cad902c4,56211eb0,bbe520ad,aacf55d9,e9c67787,aa02f18d,ccd88ea)
+,S(8480c77f,3dd59c6,329c221b,ed8473e0,8cb0446d,c4e9bc6b,f2dba8d1,7ddf0f1,b055a135,a224f1e2,965cff1,a4f0d764,fed265bb,c644c696,2f3570d1,9af6e360)
+,S(f46b6845,fa45e8c4,576b7c74,cd1a308e,f1adeedc,1d539d21,1158318c,ebd4c584,e1ed2665,34a14e05,c1ecf136,8cf8d6bf,fd9f0258,a5f0a53c,8abb00a3,e953c425)
+,S(596db19c,38d91452,ad238f05,453bb773,9883df63,a0b545e2,47e5947c,d9f52a2e,bcb35b45,b172aeff,9e4fc5d1,714d6743,46bb4073,6f571291,e6575d34,f8b0d929)
+,S(4cfbd998,f9544921,e5f1658d,e3ee95c6,df85b3f9,309f7a85,f6e4d08b,7e535497,ccd54e2e,437e4aff,7fc2ef17,3bed5ce6,b7d6e34b,4b386f36,72140d72,ceba71e9)
+,S(c3f056d2,357ffe13,4403cee,6dd5ba3a,a7d2d0d,91d83f25,cb2cee44,34e57f94,1c31cee1,595b3682,fd85840e,312a61e4,40cbbf68,55418b30,bd6b24ab,c3bbf7b)
+,S(e272370b,82ffc486,53274eb8,898409c5,9338e024,202be5e7,e18b5ec5,7f824680,d2f4e6c,619f0d,71e38990,f4e52881,de27ee31,ff7ad9cb,11a7f735,80a546cb)
+,S(81537bc4,6a5fe897,827aeba4,6e66d576,6cd05a35,cd3fe1cd,9c06a2d7,194be59f,6706c254,125be3c5,92ad55f,6fa6289,4298f23f,2f4f397f,3bc84f50,79bcb8ae)
+,S(50e161e2,6bc89d2c,816030ad,45559a3b,49c8606c,b28b6307,6ac6a051,9226d2b2,98478bc6,3f8d6be9,2db02910,67e5e359,e865d046,a5dd853a,fccb7592,72985c67)
+,S(76ce7272,fcff02f9,bfc355eb,24286fab,88ba08ad,b15e099,22724b84,315be56,88f98fe7,62e37fdb,b72c1526,59528cdc,fc4c4203,c465e772,38dc8618,78a5a14d)
+,S(77935c1,3a7f5f47,13098101,6e10ec54,d5ca10eb,492d4025,365d5265,ef7e6ebb,3c15e7c9,cf230340,44444126,5e74456a,4f3b72dd,7aff0ac1,aa76c67b,ce77dd0a)
+,S(b37c3ecf,5813b5a5,2f52fc4,42049653,991d9241,e8677d2a,f9779fda,43c7a255,4361c742,c070b356,387fef42,1a9cdf79,58dd47a0,b7c9add5,57fa425d,626a1786)
+,S(90c64aa3,28d43534,271e2f37,3460d8af,d17f9585,516b909a,6a7bea2f,1b12d2c6,79394191,a37a451f,e439e538,5e876c2d,ac397f0e,dfe29114,d14b9363,b76823c4)
+,S(a314f637,2362ef7c,c4bec6a7,9396c318,568d9f05,9b6ca38a,c5f56090,c33e5e5e,b3a401e4,f7741130,95179507,2ce3b0e,53d2f51,f2dcaa9,d289e25a,8de01519)
+,S(15c25f4e,80a7de90,8c49fc7b,649afd24,4c5a4be4,dfc15b2f,70099f73,6ad003dd,4aa9fb98,39855fca,c9f8bb26,b6322c95,e5d7adae,5aca9bf6,de073949,eb364b86)
+,S(445e6d34,90f4ce76,22b6713f,584065a5,e0998d47,1b7603a,2527ed85,5d67d7a0,ecf994bd,7ba618b7,6eaca0,b852e0eb,be7b7f86,70d028e3,f52d1b2,846ce8ea)
+,S(def695be,1ded66c3,650e9918,e942e4c,bd420fab,3a4708c2,43ab4e3f,1bf2101b,63569e13,532bf299,a0cf8d0e,a4addffc,1e782a1e,98a2f7c0,e0b64f50,8dd0afc5)
+,S(eb364f1b,89938b48,2d32271,551f9529,5013185e,3ee2b534,bf01a288,9a534a88,9e6091fa,b439d0,d96f6a9d,cb468573,881234c1,6bbf4c50,32a6c950,99e6e6c1)
+,S(7efe80e6,5c0134b8,49b6c58c,7d4c54ac,873e43fd,1b47f9d2,1d33f9c8,ee26646b,5411262d,63357cc8,d8280243,41d1767f,c25a0972,4c8c7a7f,3ddf6701,d12478e7)
+,S(5f412876,3774e9de,6f2f25d8,a1d98de9,edf959a8,884643a4,fa18ac7a,26d6308,d3f6eff0,e336d4f5,abe35a12,4c47ed4e,5dbbe6d8,7d563fb1,8ea89242,aa454411)
+,S(c63e3b34,bafd384b,2b60328b,4aee3a28,c7b3ed30,8a7cde45,87aa6c75,6c49c2dd,724fbbfc,11d05623,a5cb449e,a2f9f65f,a3de167a,a811bfcb,6ab9c3d0,3b123ad7)
+,S(cc92795e,a0be5e79,757a86b5,147429eb,ca7a7c7,d51a8d3c,93650178,4f6ba5b5,92053ab3,db369d61,3af1093f,50829c73,4618c1d3,610ebc57,420d2824,935ae2ff)
+,S(ba73d310,b5170cd1,57bbe14,63bfe944,ce7cea80,1b1aedb2,da3db11d,f1c7ea5c,4114e55,15806ca6,323edc6b,f0b75a92,834c72ff,9579d1f2,27fdadd6,d773c577)
+,S(6047bc6,fd3a1c7b,9a36036a,94139542,7d9432c0,f652259e,1d52d709,e5088b22,bb119bf4,5d8ac9bb,1a918e6b,95cdf23e,6e2ccbf0,171579f7,ecfc9126,6d236b8a)
+,S(a0600a7c,484559cf,3da255c4,935d2d97,1628fe8a,e75b88bb,1f3c4eca,e68f78d5,a439ac58,42bc6ee8,be096973,d87598da,349929c6,92e37852,e57ac941,eedef402)
+,S(bfdef77e,1efac235,c1c49f04,290f89aa,c2e4632c,85f40481,dfdf5c59,d479e2a,e6e451cf,d76433ab,1de85511,9abaa5c7,8e4499a5,fa48ad77,f098c825,206dc7fc)
+,S(81ff778c,373975,fb041cf8,ce4bc337,e2c977f2,d6bb2c61,9122240b,8e21234,3fc02add,e92c9928,e94e0ad0,218d6204,d71ef295,4c32227d,96b30b5b,9a61f640)
+,S(84c4653c,d1af54f3,fc59dab4,5bbaa470,48f8eb13,4afc8f5b,60a8974a,cbf03933,98ff808b,a4682139,68b73ecb,67fe0a32,85dace7a,19d300dd,bd517e3d,b04ddba9)
+,S(9d7ed86a,69f39ecd,c448de07,55197029,f81ee886,7c9a61b9,62d13eb3,abce35ae,d9b27e39,41c6bd1d,87dab6e9,32e8ba57,1dcd2c58,67177ce8,e7ef0fdc,668fccd5)
+,S(540b7fe1,ee263e6b,3610bb96,1071d817,b9cdd162,77aaf28,87e7e5fd,df72f5b5,6638015d,591305c1,7a598a44,ba6871cb,8d1d3628,3ea25c5c,846bab2b,cd910340)
+,S(4799c5ec,f1fb2112,f479abab,217ed0dc,e936c6bd,14215eee,6bbbb34f,d811cbe0,abfdeb73,4ac738cf,f607cd93,de58c0a3,237201eb,da47a808,3bccaee6,da5c5515)
+,S(70a58362,b360c280,626a8698,7e4f2aa1,abdc9f8,f0b8c216,bb88b0cc,133c2312,5e37daac,d2835f3,1d924659,e51858ab,68e3a874,947360eb,c520767f,ce4d46d0)
+,S(f345a0ca,857102b6,e225dfc5,7ae1cbbb,dd5c2737,116adbd8,b3d1f74,7d132b01,16fcaf2d,f7cae2ec,ef25da7b,3d51afd2,8f5e9920,5c0d74f0,c1e7b360,17eb2fb8)
+,S(c3f4282b,29f253d4,fae8deb7,941484e3,9d2555d3,f96889b4,551e7d8a,eb2a209d,fc562248,8a6e83f1,6bb1530d,2a35629d,b25c8280,2eea7057,d22d109d,4263ac1d)
+,S(5542218f,606e7cf3,9cf646a1,3677b0ed,4ff61aac,1dcea3f5,da5dd4a7,d4727632,f1bce63e,a11d5176,f47e576f,66817f45,4b51840b,a79695e6,3a1a1cd6,fb6c07db)
+,S(65e81ed2,7d6b839e,5c3829f9,24beda63,98264de8,b2223479,43881582,4d124b35,2a17e09c,e4dd6e6a,32d85d71,e6cc2378,b53b9356,ee5790f6,8fc3040c,e6b6179f)
+,S(5066b022,e43a5f83,c4290064,9e2b611e,750a5ded,7c89b8f5,892126f1,e112edf3,381e92b3,e407c6c5,d1c0ab40,6fbe1a99,57643da9,a2118cb1,3b8c6243,9328d9e8)
+,S(8df78ac5,c5ff1cc6,df1e1dfb,58ef889b,17886433,61bea73b,a805c3ae,a83e2373,dc668ddf,5b39eebb,7b692997,f22140c1,8347e14b,edb6d343,96017e09,d37ca4d3)
+,S(426c1767,7d7b00ee,af8d7d30,1bb11cea,1cebfa58,fc54bf0f,de719937,fb484434,4fcfa5b9,ab7b71fd,560ecbfa,985db2f2,418465f7,cbf8acd8,fdd71af5,7f9519d8)
+,S(4f7f0061,bb90e396,63f6aadf,70dd3312,f781b2a2,3867df3c,566e18f9,b4a511e1,1308473f,d8956b35,97d904c6,cf73c05c,fd7c075d,c83848b8,571e666d,dc44b3df)
+,S(7393002d,d2e85925,3b23db69,6c140258,8272a847,d834982c,5b22b256,93685107,b61532fc,6706f7ad,78548e76,b334a836,c899a49c,46afa1f4,4579b5cd,27641528)
+,S(c41dff65,e88e5c6f,fca3b0ab,6ae69bde,c4215194,cd7c57ca,fd9b38be,feab4e05,9a9ba27b,a0b7e217,d31340cb,acd8506,7f052d8b,f92a4be1,cf59fbe9,6241f0c9)
+,S(f619dc9d,6dcc39d2,9155082c,2ed9bc60,99296a8a,982327f0,60fd6208,5765c518,87961d3e,2b850ffd,f080d5aa,cceb1912,120ddbc3,4e0ad8d7,96e74afc,aa4871fd)
+,S(6becdd5d,f02a7bbc,d1cc811c,fb83901c,46aa8207,35e81c29,a8d4d4ea,3f5cf99a,a45f7dd1,8949f842,2905c7ee,836004a6,5bb106d2,fb623d68,c2690c14,f181e39d)
+,S(cd2390,db1e7c53,f424a893,c2529660,69a8f151,6f60722a,524578e3,e5427196,b817ed1b,457633ab,a3439454,6ed410cd,8140b9d2,e7e679b6,3322eae5,f3466e90)
+,S(96cd9608,7f1cbcc9,b017ad2b,c7824285,4047dc3d,f98e7951,2fc09fbc,e3cd33ab,dfdb9090,c8a5ae70,13b8faa7,855554d7,3df381d7,88fd5569,d3a7ef7d,f729d625)
+,S(99cd7508,5e9abb74,5fe03e3d,b100f2c5,2a43acc9,4127bd8f,83314baf,70d72b4a,19c98b68,2ded269a,57e50e3a,28b9cd65,344000ed,dac3d3e9,d8ac8370,662ee1c5)
+,S(f53c2afa,647496ac,6c1220e1,4627c138,186286ef,b776449,55f9238,b39fdb20,1598c495,106a200,58fe1fd9,b29140e6,a93996d4,fe4cfdd6,74ec10f0,75badbd7)
+,S(c127dad5,3b9457b9,51192c79,5793734a,d0a84671,ff6ba236,f53cc40f,769585f8,688e6264,da4e9d1e,fe66f5ab,db078c56,98696ef3,53b3bd42,c344b3f1,3d3ad744)
+,S(882bc4c7,651634c,930384d1,3daf5a91,41508df3,2d34818a,e61bb65,40e92bd7,5c456414,430eece2,fc6e95b3,7700f608,9815f5cb,12a09ebe,8a87e370,85bcf255)
+,S(4cbc141f,55c0b001,cfd934e4,dbbc2c2e,4b5dc68,72e3388f,2388e54c,e2a91bdc,1749d8e5,30d21894,221b2aa5,96541f1d,e700bbc1,e3427140,24f0a9b,9c0766b0)
+,S(bff11777,6bb9bfd6,bbf872a1,3b9b6a62,32465cef,f16c3c75,441c39ea,2975528e,9e7412e4,ae492669,58dbdc9a,b7b1f4c5,d2edefc1,d4f0a483,27f2fd69,f992eb34)
+,S(251416e5,887b294f,c752a1e2,3e991f11,90b8798b,11c97033,e470bfb5,b7bb6328,e6981dcf,15fb4b98,ac8a37da,267f1bb6,a2a38b86,3919d20f,72b5bc34,cb5e329c)
+,S(bfe2490,569255d1,a62318c8,416e9114,66dec59a,bcca5df4,e64c2f48,46d050d4,f78bf673,577508c8,3846bd5a,312b9284,2283c47e,d4df7651,79d33bda,ba6eea54)
+,S(e50d0a78,40779b75,fa121def,456865d9,3d7bb9c5,d566d790,58b1b56c,3fdc7b15,2f2688ee,4abcfa52,9424d4cd,eb40a8a6,a6de26b1,be8946f1,e4ba429b,5b32a6c8)
+,S(b3a9d7ef,235df6ef,262e177d,19bd1121,167a056a,3957ffd2,a3d22d00,9a199bab,6a7adf,40ab5386,21fc3447,77c97416,66537460,44113c5b,a73455bd,9658753b)
+,S(ec7277c4,20af5d48,3a6247d3,a1da7243,31c0e35a,85d6057d,55a3e526,bb7962bf,2dcd3e8c,5abc47d4,56bfcf,a8086889,89354e10,8188fb0b,c9ab4578,7b91d69d)
+,S(91ed86a2,330ef91d,e085df2,a947c9de,f1284b8c,76d9b432,8dee9342,bd297242,fcc226b0,c46a36f3,ac56ec31,bf297360,8375f0f7,d248c669,f8b31ca9,9d056713)
+,S(e2a09eb6,6e76b287,36c5824f,829afff2,439d973,e5be5b4,f3c55cea,e83bbda4,6b217b22,123bf3db,f35845f,315264c0,4a67ba18,a49abd08,6b2acc76,ca0b016c)
+,S(78501449,bd76ff1f,58cdf2e9,203de4d8,3325ce45,1bf106d,2f474e91,bb0545c1,d0bbcc92,acbad044,218a830d,5f461332,cf488003,4b6f89fa,2f58b708,63aaa585)
+,S(c3626c48,95df6e93,2c79d5d7,eac22ef1,d7679f1b,1df1259d,2be08aaf,7217d978,a594df74,250bcb50,dd9f294d,e7322b25,f72cf935,700856e3,c31fc5f,35e61b67)
+,S(5c6e0358,ec09945a,c4240f22,3304f744,63269e16,c4f87dbb,99bbb744,bb4afaae,e6168dcb,d719ad05,8020dbc5,b03ec4c0,61b1fd87,d530913e,6df5d498,69e340d7)
+,S(4a3fb364,d55fca64,4cc03c40,5a5956b8,a794718a,5b43cdf0,795e5d5d,5f79e7c0,4c4e0c11,5f88ef66,545280de,af9e3d59,3ff7d1ec,d8f20779,70ed84a7,8d660d28)
+,S(fdc828e6,e305427d,c925de61,6f57e13f,5d0c8777,b538e511,49cdd304,1b022d05,de9e1037,db0dab0c,fedd8544,3b926a36,88e8bc54,7420b27,c65e2c6d,bbcb1662)
+,S(6d70ad6c,375119a0,f4b2b65f,51257d7b,e73a8d69,ab944dcb,232b8fd8,e7021583,31de3a22,c8e8034a,d812a7d,234cad97,978aba7a,1c2996b7,aee623f5,858770e2)
+,S(faa9dff,68f63fc5,7ca8c39d,8d950c2f,78a90317,c5d7f787,6ffa035,fcce8dc6,419b6c29,a7c02ea6,c8b7ed5b,c9b6fe89,1b3c705d,2ed2707f,3ef7995c,81a17de0)
+,S(53d9472b,eb9a020,e84e10f0,1d5ed8c2,6219d24a,eab4cd67,dd30f084,8fa47a12,624f4c9c,64c02832,9b6ad395,dd51f960,41eeffc3,b3238764,57d21f85,d8c674ce)
+,S(598daff5,aac2831e,21d5eff6,319e563e,3208ea18,e3ffe13f,2bf19444,73292f02,3db66869,2538e2f,e3689a41,dbb05504,bc86dabd,e033fc1,dbd7f84d,dd4e18c2)
+,S(eefd321d,41fe6468,a7766276,5932449a,d3956209,c4c6a548,c4392db9,b4e39a97,6a372971,d5515d4e,c691b3cf,e73ccf6a,a491df97,570c9f52,3f29b108,c626c319)
+,S(5a3a8225,49ecb78a,9c5aa12a,49e02c5e,10c168ac,e053f85f,30921724,96177ee4,482a65fb,f57726d9,d4ad61c6,75cdd5c3,25b6e59,899366a5,3ddbf239,96016448)
+,S(e21f7d4d,b2343eb0,1d23d1c,5ec76db9,89e1e624,2fabc41a,b204ca64,838eee55,fb64c87d,ba7c54d6,f1d68d7f,a49d50b1,bd79d699,a75227e8,4363ed30,430b2605)
+,S(fd688c92,f80983b8,496689ae,fcc0820a,a3d91fb2,aa4d599a,f48de5b0,98ed491e,7f946da9,9169612b,dd6ad8b5,d686052e,3ff25610,21432c92,f8728187,29e860e7)
+,S(65594f34,947f182,bcd1703c,dbb1ddbc,4bf59b2c,2fff23f4,1d363631,cd54af0f,e8d98a21,a603eabe,cc1a1b83,9ccd553e,fa5eb258,5dc94e10,d134f40a,63b5bb1b)
+,S(4f47f3b9,8bcf3917,464c07cd,be99d2ea,adf31166,8199324e,d120d087,e14789e7,279da4fb,d718e578,b10d316b,9994dd05,ffa05431,f85db2d6,6d4327d3,68aac28a)
+,S(32cd8b52,c027e4e1,7991ccf5,6460f3dc,1d2ea6be,6434067d,bd4880e8,a09196dc,1d3066d3,76961716,1882da20,e467e035,4ad84041,f391a042,9e94d8a0,5d89807)
+,S(c454b400,c7946f9b,b35003a7,c51e8037,dd03fcda,f0a19b14,f8daba3f,310d8bec,dffa7652,86aecb65,2744c9e0,21229687,1c305d91,6279b414,1ca1a,acc021b9)
+,S(151b7159,4fce7438,2ac83025,6d98abbb,6ca309b6,64ef0235,53495342,34f7b4f6,fc61aa0d,722156b5,dd7ffd24,38100589,1bf236be,a41aff71,c3f1964f,15978a28)
+,S(59716aa9,6b60ebde,848783d1,a686e9ab,e337b87d,104aa3f9,4cc7af46,ea8b8710,2e3062d4,a7d290eb,f53ee38,31dd8e80,354fd671,62a01a4c,73c57fb3,4582d345)
+,S(81838542,7622429e,832e7a50,b1a670e1,2a626c3b,97cc69f7,abaadd5a,44a92395,18a88d63,d42e3ba2,af4b6c36,9971b0b9,35363e5d,77417116,b58de2d,8b6afb42)
+,S(c95cf1fc,af7dd741,479a54ca,40a0e264,a989f0da,99b3a1b3,c4f67284,c8ae2a75,14b32e26,99662bee,51ad8534,fca1925a,a835cd00,9807c5e6,915b8283,63872f76)
+,S(9362c939,ea51a649,2ae2dc2b,c01e4bfe,ccdf4612,97932668,2435bf44,e9c6ea1f,944684c5,2cb534b1,4871f48,41e889ad,933299bb,474b392d,a1e85ffc,5763c2e0)
+,S(8852fd51,1e5f5e93,c6c3c7b8,4b0544af,cdb7d0b8,497d4bfc,90cb7322,28a77040,b0ea5bb9,c338a6de,7333b4cf,ac29f997,36c248,405facd2,6ce438f9,cb997a13)
+,S(59105318,491ab266,2fb94506,532ed81b,74c8f82e,a13581ae,ef6c0c77,80696ad9,3417191f,bdcc1dd1,43323ff8,6e6051ee,921dcf69,9eda369a,afec66ff,a06097ec)
+,S(c78bb701,8e96901d,3f13681e,ecc24df9,65b124b6,43f72904,ddf00ce8,bd28a127,ef07ce8,1b9c1cf1,26108dd5,f96ff86b,e0d49bdf,ad3d518b,1004b3c9,4c79bea0)
+,S(9eb55ba5,2b5d11ae,3d419ede,5a5480b6,c2aee921,6f9aeb4a,96e51934,e8e4c11d,50094963,25b94022,2642ca89,1fb4697a,5e643e50,19670934,99937432,f020eaf)
+,S(79ca2986,d40c7786,dc4d3e6f,71c33233,ad0b65fd,96822383,c11949f1,ab42f5e1,275db48a,fab1f0db,188e1298,4b391ce,6872e216,85c04c0f,3e62d42,d1e6d310)
+,S(a2cf65b8,fe2a7abc,b78bcdf3,f25db18f,432ada89,1ce7d99f,faccefe8,e9673463,418e9be4,f6a1dce9,200823f0,5a6a0e31,7924a0f9,44c18b2f,1602a2fd,1ef13a72)
+,S(7f6881f3,9f4684d1,3bf35c4b,c350b64b,28eb3c44,2adf05fb,c5e2c1e0,307fef19,20ac47a9,b954e805,db6fa20a,4e1a04f3,36c058f2,1946aff4,d4c24f63,6bd608eb)
+,S(abf40dcf,72704e6c,65502d17,aa384bca,5834a802,62ec0de2,fd46ca2d,d9316ef,f605192b,a8c56b66,f3bdb35d,9c1df4d9,94662b41,85e8e6c2,9fde9d27,45039564)
+,S(4fbb0d5d,ada948f6,2877c665,9cfe5f57,c6d5be5c,8cbb7bee,71cc575a,f4c92989,d2290911,45c718d5,243e1ef,92b8f7bc,2c77af95,f8666ce8,15900462,35d1c3dc)
+,S(6c62710d,d0ce5eb9,5196e202,7c3c1d12,5a25f329,878b1f38,fa883146,b8ccffa4,c70ee1dc,174a6a4b,908b54d,69c94ec,5829bc8d,f6513c82,b0fc02ce,f566dde7)
+,S(83ac175e,e220c800,a40adc87,df8450a3,963015a5,2c9e9497,602f930c,37af6c12,b7dd932,95601178,f6db7b5f,98046d7c,e42371ab,34e5f11,31f7cb31,59d37994)
+,S(c823727a,348e275b,f52c18b1,43653c3f,8f0a5c0a,e8f48432,a8016486,ec3674b5,760237f6,2222cf21,fe1813da,4cfe9437,edca8286,cf3be63b,5bb05560,fa71235f)
+,S(388b02ce,506784cf,2ec7e315,e765f126,23f764a,7d1ef836,fe360355,cb3f0517,ed0998cc,9069f336,c938b639,d6a74e8c,672a7d2a,2fe1dd1a,d7e18969,e7e57b20)
+,S(517d4da9,e25f9eaf,7ab6efcd,cc00e6eb,7bfb975d,e8287b2b,d7d15914,4b7a981a,2ea7196b,a14b60c0,78444a20,2b67fedf,8fd119a3,7a39738b,17694cd4,c0dd712d)
+,S(eac89275,54b0f71c,4ee80260,4945c5e5,578fdd50,ad68c478,2295670a,80432bee,dfe1ac53,dc9e18b7,1a930e73,cea36af2,8c8326eb,3615f858,fa1d3884,446f59a7)
+,S(f77a0877,e7ffd2e2,cba9f0b2,c419e886,73711125,7cee4480,f6529851,6013ce29,fb245db7,29acfa2c,145011f4,42c9d480,5fcb0be8,b7f27dd9,9d532f6,aee2d57c)
+,S(747d96af,94b3ae3,4cbcec25,fe8f4b74,e8d2077e,31ca2520,6d0d5613,3a49bd7e,b13d780b,8d322848,de5463af,3dc9c6fb,4cee70e0,da4731db,14916252,4b6d8d4f)
+,S(9bf6ae06,6db68c50,4ef9b1cd,6d123efe,1d8608c5,3a1a2276,f1f44493,f8b5bf72,5b0080f7,694a756,f306714,aa9d8b3e,617b7c5e,84d862be,470df13d,e79c8994)
+,S(91d0275d,e99c876b,d6de2cd,481fd72,13d9f6f0,e41c3444,4790dd80,cbc72e72,b12126c0,8b03b040,60183216,d1468246,d32d834c,57e687a8,9ce42ae4,d4eba7bf)
+,S(e3cd4480,6585252c,8eb09442,74222016,5ed4cb90,462310ac,ddc769b1,b9a111e2,d8821a94,f1bd3def,434557ed,4739d625,c74548d1,44bd370b,180fc4d9,ee04afa0)
+,S(3502269d,e8a68ef1,a0d74a0e,1423de94,99b84d3a,1fbef636,d9f38801,ed00d64a,9c4b6259,8c1bb627,449800ba,d9e93c7a,265114eb,99f9b5,7bca5b6a,72e3b302)
+,S(244e51da,a54a3c4d,69f7a53e,6ef82bf4,7907bb40,7713f5e8,84694641,1daa2ec3,61f00ad5,f30928ca,a20cd38e,5af6b3fa,afd4def2,f8433609,4f08e82e,d46a0320)
+,S(4f00186b,5d6f0420,88ac1221,a13e3aa4,60190cc2,2bd8fc26,4df81f44,1e508032,fcf58149,b8ab94c,67b30d73,4a3a5835,c7f89e44,6aa8d2d9,291c5f6c,b17b2e3c)
+,S(10a96b69,2f522f4d,58d1c9af,463ae371,73e6f72d,93aaf756,6267b3d2,f62a579c,fcc7a656,c9d72dcc,1540a638,51328135,85d3a0f4,ba5242f,f5aa35f1,88ee3070)
+,S(ee66c2c,2b19242f,4d7a22bd,df36fe3b,b5c151f7,1dd8a81,93fbae52,23064f9d,9d4f46db,7639d9a6,95d51d1e,44b08d6b,4791e443,744042e5,cc9e3933,cc27aefc)
+,S(872337c4,e34a3dbb,f4b274a0,a47c1398,f78ce842,fb11b994,b550e9e2,e21934c2,aa8a7840,d6dbf62e,d91577c8,8b8c6baa,69e01f94,5294e3fe,4ccbadc4,c1d64221)
+,S(e2eeb213,bfeb413a,9093be1a,7f75820e,5f48dc34,8515ef1c,7026c116,9be224a6,a49c846e,9132e039,9d66da39,57cebf1d,2e673831,3a89f682,c28d2230,1792d36b)
+,S(fe264a9d,63932bdd,5cd4629a,dda37c9a,8d2bbb1f,5809d333,80a561a9,66af74c5,543b7920,c6c27b7a,515b5adc,b8d144ae,64118447,dee21638,1d6cfd2,5627fc53)
+,S(13806a30,2d32152f,a1ee8060,67b07cc8,fce1e67f,16f21859,e7b60de1,37debf51,ffcb1150,7be5c2a8,90237923,5335b575,4cd83460,423ece53,18be988,c7e5e978)
+,S(db67e361,f9d91cff,1d8b99db,b7bd2584,f1b91cfd,77473802,f603ee9d,debf4dfe,6407a133,7604fbb9,35fbdfb,9fd6e2a4,ea6d8f28,a63e7524,172cebfb,d3331e2b)
+,S(606d4f47,d1d4cc58,3e30f214,e1ee57cd,98e68b6c,91c852ad,cad6c32c,989d8bd8,81911891,8a074dd6,ebfb95b1,c97b4fd8,5ef0887c,15ae5e88,ec6e97b9,cba46701)
+,S(51d60942,e93fbcf7,e230c116,77528c0d,3b63f7ee,64c1da65,692aa91c,af482ecc,b82db22e,3f104807,6338369f,d77dc11,d982296d,e630af66,36cedecc,108ae433)
+,S(2553006b,b8474473,29108ffd,cfd9c91d,22b7ad2b,6a0e7bb,72f98a0b,770da376,6173583e,e6b238be,ff3cd6cc,9bba1b48,d89dcf6f,481868dc,773eea98,59ffa871)
+,S(52e35836,fb0a1c1f,efb092fe,3c95bb32,26bf9aaf,50fd1ddf,29ef0ba4,b100d794,639078d1,cd1cd22d,135ca950,d754d3f2,bcd11a95,91abb6c7,c4a5177c,53adc86f)
+,S(332e02e5,5c089c84,82ee9863,a4dff4ea,b01a7a83,4747ff83,512fb567,7a8ee3d,b1edbfc7,9c1f9264,10c4cc3b,8919b4f4,e89bad8f,34135af5,f16b1c66,9a28b87c)
+,S(d9113a61,7d5a4a75,2080931a,84bad37b,ce2f907b,cc05adf4,16750e8b,8951435a,ab1f66e5,8d3a5887,2f664b56,6c2468df,f9d4d76c,a73111bf,57e10d1a,f7df7aab)
+,S(71999a85,799030fa,b0575523,fab4111c,f4b60351,e03f8703,1f5a852a,f22131d4,eb171070,d6124255,9adbd82,565c8dd3,fba6b8c0,df939501,4223b2e6,148668f4)
+,S(a9436d74,a39c7193,368ccbf0,d24098be,41309668,87ebb8d8,4213e0b3,436c23cd,7b93ba5d,e2ad9b42,ac45ac85,43f7ae59,7300e745,8fed1359,bc392015,540e7a19)
+,S(f6288f25,57359179,cd3659c6,1cceef6d,c5a69631,174f63ac,115633ef,83530b2a,d54f0f2d,51a365dc,7ba8b630,67ae663c,b4102e2c,59cfa616,b8878483,6ca85722)
+,S(bf685c41,863c9fee,dff2fdd4,ba47d726,1f0fcb6f,b0432a8a,3b7c4f6d,6f52700a,336b1d57,43ca6d28,52e20cd6,ab276441,61b2ed82,ea4e0051,d88ea92c,a66828c7)
+,S(672eaa18,1009f3da,3fe74eb7,4b479e24,4b73b54f,206f7342,eaa865ee,f945b00f,3f056594,a113cd63,810adf1d,b76efaad,babcd42d,347282c2,ce66ad54,37cb89d0)
+,S(299deede,3b6722e4,4c5e7600,214f85aa,4dd70ac9,df75cfe6,c020ec58,c8c859f7,92ecac9e,4a6326a7,8b01c0e3,6466723a,3d00593b,6597b6e,e16924cd,60105137)
+,S(e4268a68,7e6c26b9,2cec18b6,8581bf03,8b25544e,2040d505,7b9823b8,b01c07d5,35d1c370,95a9cc03,f91db5d4,250a904f,b9f9daed,9388b5cf,d6a3699e,b03c30c0)
+,S(7164e9,bfa6ade,a42bcc27,db38cf5b,fe908499,eda21bf2,27063fb6,369b1ae1,a2367f94,fe683e07,1cb7ffb4,287cce88,b11336ca,98e6769e,178262a6,b9103d9b)
+,S(84d8d32,a4be7402,1c94d3b6,c0913724,b2db26fd,862fee1b,c467a37f,b98b299a,46b92145,46603cb9,1cd5ff05,a237079a,e290b496,19d868f2,8143d660,94e61cf5)
+,S(60372ba5,d0eaaacb,c1445979,74a0553a,6e63c4d,15001b76,39f5d05b,84f626dc,8fab368b,c4d011aa,edf7d98c,2e6a0359,5737b1bd,bf701060,d30c9f0e,a8e8c847)
+,S(453c17f5,5364f812,a7da0f75,d7c074b1,81cc0901,a938447c,df55ba92,a7decfbc,53d465f2,6d3d86b,a76ad1e6,f147d208,474989a4,64ceb6ce,79972cc9,3e2e2c3a)
+,S(cf1f79b4,b765a894,2b967271,85d0c2c4,dfab4c4d,d679693a,4b35b343,c411cdc4,b89916ea,4ea34abc,63b9292f,591b5c8d,5ce802df,9d4f2be,275ef244,7e1ece)
+,S(74b07994,b7fe3a27,eff2f9aa,72f8746a,299f9eb7,81f09b15,f3ae595f,a0c4ac37,5464345,f4873a6e,9f4cb569,acc8e551,a9acff9e,5e0a92ca,e2c3f800,1888f905)
+,S(f9de1544,89b7a06e,40115de1,fcb7897a,f6bb2b91,5a1e8971,8d5d5ee8,68bab74f,789b5c55,2b352db3,4345ca30,328f542b,ad22e5cf,d98e5b8b,e85646e8,d47a0e6e)
+,S(c011f3d1,897cfe72,827d2cc7,c04a6aa7,496273ac,11f0df10,27ab4d69,aa745c5d,8e31fcd8,3842ffbb,a600e771,feb0cc2b,1fb257ab,7c19fe61,67802313,cdec95ad)
+,S(16567ed2,4ea1cb2a,15418d66,c70c0587,386201f3,4dde86b,82f687f,95229648,fc4aa805,45366f8c,3ee336f4,51397e3,7f78188e,b6dff3ce,d80c7e7b,6d9f7cf2)
+,S(8cd33d56,9acd3607,979b3c17,bf5c2175,ef6f3428,7a25c18e,89a1b38c,979d50e,f4312cbf,f301e942,61b7da0e,cadda424,336b1201,82ad73c3,c907be8d,840f8614)
+,S(646e22ba,39927176,4e1df1b3,16767718,79d7a16d,587b9e47,5232a331,42ea2a5b,55378afe,5f29feb3,2a3152ba,4d83305e,f77b1025,79154aeb,7bb8b8ef,c5958576)
+,S(2699d984,462e1fa6,208a833b,8af2e32f,58cf2d02,7707b4fe,2e3f888d,82e8e2fc,ed6c46a5,c5121755,5f236a62,21399a40,5fd87fca,f4cc6603,fffb440d,54b888c4)
+,S(be4b6631,3fd3e2fb,163530c7,2fa4a41b,e36d04b2,638315a9,1d07de72,c4ced54c,a7a71077,83a27b72,4e8aa644,a88ea181,c770cf6f,489829c6,6660c44d,45fd2ddd)
+,S(1f2ad69d,a1438b51,fe02a47,9cf865e2,18bdbe01,259b0818,1b6e7e6b,762a72a6,d4da99d5,7aa328df,3c587a45,2d756bae,fc09c626,fa5516bb,c8781b9e,b1ecd29b)
+,S(b1adb241,721a1622,35540622,f8e84291,e1c2702d,70cad33a,89aa3806,f7acda43,e6cd9324,12542fc4,25b8f16c,c0820f3f,26f33e11,1ba0ca5c,b5aeaa54,1fa3d9c6)
+,S(b604e2,f06df266,1163604f,2a1941ff,4d6991fb,84796c40,ccbe74e4,cf68e207,306936ee,e887427e,6005b265,38af5ca,53b3cab9,a3aebaaa,96556c46,7db96e88)
+,S(afb935fa,1e30617a,9b4f26b2,e7b150b3,f33566b4,7b5b4a7d,6223fe3,9c0dced3,83624f43,66dd82d6,8e4cd94c,464b6322,db0b1774,9fa1125b,a0944503,b0c63b0d)
+,S(5cc7252,a08ff892,93022eca,b56a5e9,cd2eb4c4,71161d15,5d7a5113,8b12d235,c272b6cc,42461529,b31943fd,fcb51a59,7a0eaec3,ae8c2754,827fe1ce,a182bcc4)
+,S(6c17c206,7c72a1ba,410f2446,e4ae2012,6eccaf88,aa4fea14,522a7607,143c1122,7172af08,2adea428,2f6a3cbc,7946db2f,c0170975,50ad8ee7,f4c514e5,dcd693eb)
+,S(fd82afcf,c55d226b,274cd62f,385e882f,716210f,9a14be15,baf7e17f,b98eac8,4aeac666,a1153851,6d66390e,6c7818d3,3de26fa9,3d234eb8,5e4d5b42,853eb3c1)
+,S(3d0121e6,c758dc91,8ce3bbca,1884788b,20717075,1e80742c,49b202d3,c2f8012,ca6b47b,306cef6c,662bf21f,77bae3c4,25009561,72dfc630,e2b1a6da,e733413d)
+,S(488306dd,3bf3bb5f,24160f1d,67b8c053,bceb8da3,cb1b05ae,7ae9fa72,e3f7b0c2,2356a8e6,77ae2f06,6135bd88,1fab5b4c,6aa57769,3e2d476a,1b2a4db7,fc6c27be)
+,S(d7e91488,6786009e,eaf12d14,a23ec6e7,fe41e406,aca5a5b7,47010ee8,8441d6b2,c98389a9,143a8fdb,df4a67d8,7c05cd4d,fff75fae,845e7e62,26c61aff,3dc4dde6)
+,S(873a2877,9c45280e,3d196725,5da756d0,ee5ac567,cbb7c52d,c8e654a7,ed78a1f1,9bb9672e,e76feae0,d52be301,983c182d,ec99b228,defb2166,5310a4ab,cae7eccd)
+,S(410a7c98,85f531ab,46d99b26,b6fc2576,97723e4,bd9b9c57,6544542e,2cad2ff3,8bc9e686,4f139032,cd443148,4f43abd4,3234e3eb,3825a0a7,db8176be,cb5207cb)
+,S(39269060,b38b4abb,107c2230,6f541353,d8627901,3399b368,8b650ad4,cbf99144,780c2949,aad303f,ef8fff3f,b9734551,b45639cd,9437935f,d93f7d95,bc9d1aa4)
+,S(bbc52d26,36e861e1,3e593d4a,c6ad573a,e4698ede,f101b3e4,f4aaca54,325b9f9,4a311f44,9f16bfb6,4c5c554,5ba373e9,fc41b7ec,beadb4a6,a929cf0d,79f37922)
+,S(bb74e659,5ed6d931,9716b8e6,120f0cb0,57dcce87,150cb26a,cbdf5b1c,f86ccbcd,9f2385a3,bb460cdb,8ec74db8,fc5e6014,f4310665,c5b69e1b,cf96203,1afe085)
+,S(67e64d65,badbd97a,bb204cb4,f9009f5a,973700d8,34f6b6a5,395fbaa2,c6eb0672,a122f76f,67490b28,9977d730,df544f7,d725dfd0,93135ba4,4bb348c9,e4dd3303)
+,S(dbd294ba,e0775f43,f58ee677,6240eaca,b9b29ceb,92fc3354,de4d4b20,95548050,1987ba2e,3ce8ef0,5b71acbf,4c69f706,e2cb4d6f,354f0fc6,53a7a9b9,5dd1c115)
+,S(45c946f3,93658d3e,589fdcbb,6895c97d,60352342,3a3676df,680b6bad,de6cee1,629c7238,db2cd3e5,29e5b30f,a8ba5629,dcbb1ccd,ada1eb22,294f98f0,4cae2d00)
+,S(33ad0e14,44be7775,3fe47875,2688e384,2be7ae06,7d38e473,6b7dbe0,c106e14f,d89eed78,6518775e,1ef441d5,fe51c4d4,b2a1e377,eb1a4cf7,804c2e1a,5175f1ef)
+,S(f9f78161,4cd463fb,6e358274,e47812b,4b0113d8,3f426aa7,85756c6f,b9e7853e,5eab09ab,51247c76,f87f592d,77e0870,238877dc,a47cf6b4,5fe72940,ff4469a2)
+,S(ed3015a6,7a1fec82,f0f7a59c,45cb69ae,8aa0d883,39a05f,f6959c9d,b7d761c5,b7c94a9c,28389f1d,17bdf197,307411fe,1c395483,da8a097a,fb3b5fcf,e392e16d)
+,S(301af330,de741ec5,61b71fc3,c5048a42,6b55d58f,800934f5,c59aa8f5,914092b0,3d3137d8,262d196d,872fe1f9,8acba295,fec02ee1,30aa4c19,8c888765,357b67e4)
+,S(21e197a7,85953a90,226c1ab0,441e35a0,fd8444b1,92c0e5ad,65588063,f40c1246,6811f94f,18a9569d,4df2ffa7,fd8d75ff,5f66ad1e,62da2a60,c0084381,4437a2c4)
+,S(325fcc8c,27804b7c,e73d6687,70db7f5d,3ed4b6ac,feb04003,c61d6262,8fd41385,2110e8d7,24e3a03f,46183536,b208b595,8586202c,2e69b954,d3ee1500,21ae7d8)
+,S(48597aad,ec69eb0d,90f60e6a,abf83129,1de759f5,eff24d81,8677248b,ea87d945,c3fd850a,cddc2597,499be90c,24e249b,328728ff,5443fbd5,6515a6f0,4111775d)
+,S(58648599,8ac44bd2,e937796,d8dfa60d,c56d94c4,d53cfb77,ee0e380a,53ab8f76,2f47f278,6a285454,475d3c9,ffe9ee44,a93e15cb,b17772ec,67a30943,d3191110)
+,S(bd2761c5,722288b1,409aa7a5,db7690d2,73dba76a,3847d94e,3e3d3a7f,2dd35597,42590713,6ab6745d,5e573412,663d4d93,29c4a284,4430899d,68e5ca64,197ad58c)
+,S(fac9260f,1d420371,7e468769,1af8c270,dada5d97,5ceda9f2,64deffe9,1990b52a,9ce17c1,ebe94ab4,e092d1d5,850194d1,7e6a87e6,7b283ba4,ba68640a,94193314)
+,S(82e65b52,e4585ec1,4bc03591,249cf4bc,e5391f69,7b813175,b3b4b403,a64d6877,627e196b,42d327be,48526318,2dafb37e,222578a0,ccbcc443,7941eca4,a82ac893)
+,S(b9473eb4,dd002597,464965e5,b6d95842,543cd14,e18c95d5,b45bb654,eedbd6da,1b6e80a5,377ba31f,b5b6fcac,633321e7,f6e5b2ad,4a54e143,e963effd,6805c3a9)
+,S(31113d99,4caaea40,40182db0,17a880ac,64b183af,1746b820,2f29fbd0,d1bcc524,3f476b72,eeeb7c27,f9d04cba,71ac54aa,a25ec4ab,15d77e17,8544a651,653e83ad)
+,S(d04adc5e,73e21fc1,8c3b047,4d34f8cd,1cdcebdc,5dabf14,e258af57,860157d2,b21150d6,ad94a07c,d11a81c7,b741a2f0,5cd6a5ae,aba194ce,b874bd19,bfb6c326)
+,S(4e59356b,f280f51a,c492751b,3b3c7c2e,3fd1fb58,679b4fb5,5abeeb65,bce6ac2b,33a1ed9a,1d9c34c8,42b95e4a,108c7985,21c1f06,91f3716a,68fa5c5f,89dc73f)
+,S(53d76685,9ddc778c,b4f719ad,55f74fa7,85d52300,65c06b1e,4aafc560,39ba3547,168b5451,29170fe2,c53abea9,68a25dcc,2719090b,e0814635,a1dc7267,9d83a01)
+,S(7e9107a0,d2830362,7e53e06d,6e82efa8,b1a037a,328df546,a6d04c30,3037a63f,222d8b81,2a99860e,87fa24e0,aaab4ddb,b903cbe6,39c46cb6,3f2144d7,f8856489)
+,S(6775b2d7,b23dc08a,beb65049,db8552f5,565a092f,fad86865,c17347e2,a744106b,a6f23c87,fb639e66,9830ed33,34c6dd42,6bab0e23,aadcff44,1d4c73d1,a61efda4)
+,S(559885b6,a54fd0dc,b275662e,f66566e2,87a17219,e9c02f68,8c1cc8f5,6f814673,2ec87df5,917d1d7b,f217621e,82c31844,d2bb138b,bc35f873,5b52309a,baf800c1)
+,S(6fb774c1,2971b620,b40a17ec,74dccc9a,8c711844,a44a3e4d,e8310d47,bda53428,68ab0f6,57b823e3,35df55d1,ed9632a8,f0825f67,8a05d5eb,9e115ea3,e43ff4e7)
+,S(623c155c,2787396e,815ecfdb,5f03bdb7,282aeda1,7c9298f5,306ec10e,21dd0b90,69382be3,a4bae926,47252910,ad1ec62f,f4bbcde5,6259cb52,10ff2158,6b111f66)
+,S(c42c41e0,63db66dc,9b32c21c,af94a158,14fd5b62,aaa975d,3ca06925,f6d6ecc2,e93159a3,ad6fbcb6,38f7b09d,40601189,cafbe5c5,90c70103,b56fbd47,d36ccfba)
+,S(1103e98e,7a1659ac,4242ad9d,6fb012d9,21696e58,413f71aa,e19fff6f,1c334fbf,9f2d4667,ce5a1285,524d91d9,265d7a5d,da9f5ea6,cd508cf5,90076d57,a975bc62)
+,S(9e113cd5,9e7177b9,19859144,598263cd,630f72f3,4da00ad9,84964043,9d82878a,6a09bef7,6e13f2f6,8e70ee90,5dd5af4,495f5965,859a1d83,ef149f67,2643c9f7)
+,S(c03c5ebc,d04bf8a2,bdec182b,32d8c726,1913652f,e4547892,3e0dba7a,1fe275ed,f567e3c7,4b9313c4,11ac9411,11f1b62f,74a16f79,e7d90817,b54d4d89,958cda21)
+,S(205c4c44,7b84661b,cc8ab2f0,221343f4,140c9efa,fb107c59,b5095b48,25f54b24,94a10344,ac5f48a3,600309ef,8ef94242,a8050865,3c018e57,a7734d9e,da18a55c)
+,S(e393821a,58c9e9c5,6e45cda0,334bebc4,359c4b3c,1a60bab3,f1dce2de,c1da81b6,5469cb0f,4edf5f47,80df616,3a6b7074,7b26291e,8830d113,79d84aa2,15814e6d)
+,S(38fc36b7,a866b165,a424f0ae,74ca34bb,b05922d5,1bdb447,5df797ad,4d042e2f,a9279b50,4b3edff3,aa8fe039,3415c21a,556609bd,8089383f,f5dbdd34,291c2b1b)
+,S(1c4a1aac,3c3247d9,99a75a00,305a4092,c5f34321,d3a33b66,b110331c,85be2b27,a10e4138,a835e3b1,16d7b6c9,46c752e8,dc92c39b,21677968,147a3cab,fa5a0f1)
+,S(41d70c82,207c3b7b,716a2d4f,784302e7,e1034555,a79965b7,d951ebac,b7d62c00,7311a36f,cf3de546,37013e84,b2162c35,3eba0387,3d296427,220e5942,af398bac)
+,S(bada1cce,dcf3dfc,9834c49d,200fb82a,b13cf2d3,d5da9ee5,c9c35448,352e660a,42e0d3db,511cbbe7,942ff10d,a7d49805,972d9373,a75545b7,206e490b,6c5dc651)
+,S(233c0c68,4b9fe726,baf2b7d7,a0503e,7aba8b1b,3c4f28d9,4d095107,2b429bc2,a7bc02a6,2b81154,c3bce0f1,6a0b4f77,d412d162,1c713372,11ac1c61,a8f6fa28)
+,S(a675f208,a0d48078,93525e1f,b6c5be3b,ef24ade,8d3ab14a,afac550a,fa6362cd,3f8edef0,3e0600fd,1fdf10e7,c5562ddb,af4266a1,52bfca59,e1235d7,c9e8223b)
+,S(4adffdf7,a8a92b65,6f747fe2,92e6bfd2,cd3deb68,ccfd7f01,5639d779,7d21e48c,4d4079af,a6e89720,3a50015,92e43c6e,97fa1e57,11f21bef,c9df4274,441f7d81)
+,S(c786e96d,fa658a6f,a9f1fbfb,a15d7021,835ebbb4,3e8ed3a2,c7ea573,c2944dba,81130470,7a10b1e8,74f5b856,b7223346,eef3c562,8959454b,d536494a,f075393f)
+,S(10df82c4,64b75895,2c54f335,6fc24ace,cda4578f,d34ae82a,8a1eb2e3,d0830349,dae5c271,86031dd9,2eff2db9,6af91689,2a131cb2,44534495,c3562cb8,dbc5e1b0)
+,S(55532c4c,c4483aac,26b049d7,df1da7e1,ef281c7d,bd99d21b,72626443,f2c748c4,58160e32,da446337,d0642596,c17500f7,b0e64081,1017bc1f,4452c4a6,8d2c2789)
+,S(fe994c5,d63149e0,d31f6cdb,fce5b941,239c4adf,8d5e6866,37990411,d88ead47,200532b8,4ee2fb18,b2c27cd5,9c3940f3,58c6a2c1,d96ad043,4d826c8c,2a457dce)
+,S(c7690e5b,3148cd96,592e654f,2eed33ec,a69d2684,545cbadc,6f6a7e8b,4d3cfbdd,98e0018c,36423854,6dede771,b78bc4b8,c52d956,d26eb22a,e447ab3a,144cd394)
+,S(8f1f0986,d273476f,b31d4ddc,de949584,97ec74c9,acc6b0eb,900e4cc,2c98cac3,31f420f4,b9209657,1656b663,a06804fb,78597071,6c138106,119ef214,43aa765b)
+,S(bee7ab1c,c23f6101,be01ed60,574ffca,70fbd4db,ae73e5c7,128da065,9f78c042,9187835b,66b2b634,a87d1baa,7666bda3,57dd5ed,26871976,8e0ea9a6,ed102dfc)
+,S(8093581b,3205e5c1,90e9d38b,5b5ac422,b48fb5a3,9176bf7a,e1d377,c764f74b,3a3e06f3,4c00cf7f,6216e67f,2d55236d,db54640f,192897e9,fd68820c,bf22ce39)
+,S(fc018da2,70dfe007,871e0be7,f5edfb7c,30fc30bd,bed5052c,78a7701b,50954702,9483d20d,af9fb123,723e0c17,7905e94f,462831c7,dceb0238,6f0942e5,188f3a90)
+,S(f4ca4cab,7f06af06,d0a8bd7,97d6eed1,7354420d,65d80e09,32f6eaf1,ca12a39c,76770553,69f93094,3f368b0f,2ef6e412,f3d5a45d,1c7edc3d,9550fdd4,ebb1950)
+,S(fb03fae2,87265749,787de276,84bfdab0,4993112d,f384113f,1dd41e6a,b438bdf3,ae8829f6,80f60534,50113930,2aba238b,1dc295bc,6598c060,af8393b5,1153b479)
+,S(b76268c2,6b873f54,9438a569,5e2d5e24,a92da29a,ca26f18e,143e3290,69638a45,bb4543e,23abdead,c3377320,dd8ffb6a,d38967ac,ea90afd3,23c69373,eeb2407a)
+,S(87db8064,9a5a31a6,487893d,f487c00b,143c09c8,fe878621,b592b25a,6c3d8646,872a4547,520d307b,a537d42a,ffbc8e9c,e04d1c80,e3d4f506,b001b0f4,79e92972)
+,S(fb9295d5,a7c2cda9,c08b0f39,1fcdea4d,b768b086,dd170d8a,966516fa,bd476acf,62496929,a85c828c,cda71d2a,ae70c429,7bc12f03,5a99ff75,7d66cedd,5fb5135c)
+,S(96f749ed,a1fc306,6d133829,774293e0,b179a598,327c3bde,a2e94200,770d12ba,c16915b8,af011de7,614fda0,ce1c4a3,ffeabc2e,2e891e4c,a2d9c277,247fc8c1)
+,S(1564d7b9,77b4eb29,e7b23ba7,a3cf453a,8eaadc50,87448fb0,fd9310ec,653ec66d,6d8935ef,a7d41cb7,5c5dad07,c3ca864d,89e49f0,f74d4474,af85bf05,c408009f)
+,S(93db7b68,9ed6ad1d,bb61223c,dcca7280,9cf4a49a,14d94f3c,7cae77c8,f1298340,9088165,7b4979f7,26b156c9,d34430db,4a0af993,eeb996c,d091ad5c,4f7bbaff)
+,S(2656af7e,d8a2e718,9849cd,793baf93,1c23374a,a3b5596,d8c88841,2b6a5ad9,dca0f4b2,7c7f1547,97346dfc,589374d6,1224048b,ead5442c,9f8950f1,63689045)
+,S(a7dc8558,c0adf996,b7f57c08,1b509e34,7819131d,42647498,ba819c12,6d26cbf7,9fc494c9,2bbf6116,14527eaa,1de4708a,f0c19847,3ee9164b,6b9de909,f6a4497d)
+,S(1f6d4701,effe09fa,17ecc014,a7a0033c,143fbfac,ba4861cd,d7ee2fe8,5bcb2cda,84c5b017,81ce481a,e610bd8d,96ffa58b,b7a158e9,d1cccd79,7e6436dd,b1308de6)
+,S(eefe37c5,d547b779,d905849e,dd1038b,f054233b,f2d1af47,1684e5c2,a1e69960,b5f00dee,8b1f7960,aa068db6,78b6b41a,f8c3e14b,27c1f43e,10f9b34c,fe8eefef)
+,S(8d4e8462,60602ee0,948ba5c9,f0506046,d0bf3fd5,e1b93073,bcc8a6b3,30af96d0,62d0e36b,bdffa309,f1257b23,6327506,5a5e7999,b314dbed,edc75800,b35534ba)
+,S(da22079d,352d3527,5a80b95f,80b7b8b1,3eb6d178,310b6889,a94cbf2b,9a9a898,e8b06b65,37aae428,cd25fae,d0c1af8b,827b296,886de122,c6690a19,fe94df72)
+,S(beb411ff,67cdbb5e,58da6353,172813fe,e386c7,95550395,1ddc23e5,d4e579a4,919f8f30,41f53020,4d3620bc,b0bc80e5,9d87ab73,355c046d,cf2986d3,c9995866)
+,S(b0a5732b,76b4a526,e8e742e3,528891c7,3a1febb5,c7657a90,4bc1f95b,96d462b6,a5e4f134,93f9e24,75ac7dab,479092cd,fb59a931,dd042add,3d875e22,76965a9e)
+,S(5a87a782,13130193,4ce6180b,714e99c7,30fc8bd4,fd4e8c59,f5b6aae2,f3622561,a929d120,68a64953,90c559f1,ed8ff0d9,bef92431,66117208,d0e8a08a,de9a3d0b)
+,S(777ba7aa,6c50e927,64ed93ac,daf56285,9909b031,7c3c5ab9,38ebba26,d62a1748,27a32172,d7ff61ea,b6a26d00,c252f99d,bcf614af,1434641d,cdbd5f4,10e6657e)
+,S(ad0f9f5c,8fa07d5d,3c18d4a5,7dc16bc6,3be0dac5,9166fb42,6bfca8f0,65b76720,d2c9c778,3caf2c93,f6c3980e,60ec0fcc,1f1d5ffc,8aff6af,a912b5b4,245fff6e)
+,S(8904706f,17aad850,7a71f0c0,94f981e0,5e5a42d9,7f5cc3ed,99b4f635,660e227b,371d5f58,a63ec71b,3cd8b601,ee622586,2822a2c3,99ac70f4,ce293846,23ad8198)
+,S(ce32a220,2e276dd,3f5b0a10,38a70f21,3c29ba7,58934c4e,27ee3bc3,c9dadf00,e43d28,80486b34,65e545d7,6618d80c,56874afd,29ea4ee1,e79dbe5b,b1ec1f42)
+,S(3d031c0,c717447e,19266420,cef08d59,ac2aed4,7e84c84f,8980e8ed,ee59c7c1,86eabd82,d6a5f57e,cdb52825,a8c726d5,4a9faba3,6272441b,22627c4,a321d970)
+,S(9dc08947,fa3983dd,44730aee,d8e94f2c,78eefc44,df126804,281f740,53330b43,58838246,3fc02261,c0e771b9,3d4a90cc,c2c19f7,2893ffb,22fe6d5c,6c5e7318)
+,S(f9fb51c7,29646acf,94ecadf7,30989d5e,669ca4fb,3b4dfe66,dad9838a,f239057e,d4a04a8f,f44b86c3,17ce4350,1a2325cd,46b5decf,5f4e14e7,17ef0c30,1241f8e7)
+,S(d4a1c33e,816419c1,884c2838,abc7148,c61f05d3,71fe3de8,9f06b580,cc5e1006,28d8f049,a1daec88,5d186da2,66e2b8a2,893d90c8,5e720d03,a53cf8bb,f8a10208)
+,S(1b1c6ab,74436126,203ffd8d,8e9c58b3,e18f2767,3a72bfb4,ae4c9e25,ce17c570,ad28aaa5,eaf7128,fc8788e5,b9c1c13b,a4cf16e9,f651da6b,6c43fd1c,cf2903dd)
+,S(3d791154,b2c062fb,e1f6ad1,dcc17bd6,b648aadf,cd573cb7,d29f9e47,e089e1c3,a578f2d,a568b0b,e95e1189,7bad8311,3098787d,62756c99,7dc3d795,8e0d3745)
+,S(6daac2f7,ee7b01f7,277b3a5a,44785b4b,c6b6adf9,b112dd6a,227b2b46,9f27940a,fe9504e5,75c1e349,9267624f,2b2e603,55befd7e,d66d7fe6,80c521b5,e0d1aaab)
+,S(ea6343d7,73a5966c,2ea66806,ed59079e,8b216a9f,4fcbe8f6,744808b3,2478c26f,15ab94e5,cc1f4a5a,33955f6,b30571e2,5104c615,c0aef2bb,6a8f6693,64639f6f)
+,S(ffc78cf2,4b436203,dcc1b892,c77fb336,463a8070,332783c6,1824acb3,f5cc55c,7bfe0b6d,666b28c2,3259c4f9,2c0dd94b,fcf53921,91d617df,da1c651a,1fcb81a3)
+,S(db38103d,5156c309,67189677,9317879a,f31dcfa6,b8d0f5d9,1f2bc691,6090e6b0,b5b3e45d,9bd41082,cd3115ff,824ff027,78f47a0b,d0ae71fb,32c48d72,cd540c84)
+,S(4c08de87,abf89885,2791b455,126e7e54,d660903,f407b842,7b4fcd70,53e0b000,a9f83c6f,dcea99fb,fcb301dd,c31146c8,25c02978,6e5019e8,7b1b6db0,731b9189)
+,S(53b6a23b,8f93200c,41bf45b2,bd0d20a5,e6fa5db9,a3686a7c,c669815b,993604c5,31bbf5d2,21023fc2,fef75f0a,f7bc33e,b4d38323,cbdaa511,c40ed497,ef42a850)
+,S(b39ebc0e,53b74f35,6f573a40,1df6f8d6,fe1e4fed,f7d976e9,949da398,a45b464e,9d58ae16,a633ea0e,86bad1de,39f0b203,c1ef0b24,b5f1d824,48fc606c,a97fdff1)
+,S(182e4920,f4a60741,a0b94fc3,e3ff0bef,39f1d459,cd6c18fb,16b072b8,de0bd416,6d048d0e,ffdf4e60,8097cde5,46955541,491721a3,d6e051ef,9279c5c0,22a32fb6)
+,S(7a39e7e0,a2da209d,8cbb9797,5f12acce,840dddfc,5acf7c5f,fe778a11,829e1003,c24aa083,20e6a786,1c161e14,f37b1c7a,65117e55,2c252445,20b47b67,66fb410)
+,S(62e6173f,2273d3ff,d9fb640b,87d5cb15,e5df841e,3462bc5f,6b94575d,a110914e,7c424010,4ba37e57,48404997,689a01cb,851343f1,ea8259fc,938483dd,d70ac5d4)
+,S(3960d4cd,96de0126,5c2cc88,68e94d66,40e9ac8a,f2abfcd5,2108848c,ad62467,fb24aaf2,85a54405,f75db03a,464bbc29,3bcaaa44,344c763f,dd44656,fa7faeed)
+,S(463437ab,42694ce9,98ac17cb,fd4d9034,ab7a1be0,35f911e2,864441a3,eff8e3e3,370056b1,24b894d6,3631087b,194dc5ca,fcd2475c,a95402b8,418f1954,d47599e8)
+,S(65774018,fd428788,e4234b36,42c8a354,770ddafa,c38040e9,49f194c0,ff7ad3a4,462ec7,cb17abb6,5200a88a,9874c7f9,40469a51,c48c1fdd,6c0938ad,67741467)
+,S(738feb40,e7f16fc3,19ed6649,2507406e,6501308e,5112dff4,db9d12d3,bc0f138a,4923678b,84470212,cc5472de,2163ac3c,51ed5419,dc1b1b1e,78dc0946,f730b940)
+,S(546841d9,7985d80b,a0eb3448,3dc5d17c,441b7eb5,d24b6216,ab98b14a,d320cf36,719434a4,952ee43a,b1006ce6,f7785734,c6a5c018,383eed75,e3660f7,94eb6829)
+,S(31143de9,1a4b96eb,be7efe31,56b6688,5d39ce66,fa8ce202,57626dc2,8557ece4,d8d8bd18,36e5c388,2273143e,721bef10,b0c3005a,5e2fd3a7,e471ae33,ebfae7be)
+,S(ad8076d9,29feddae,a52c009,f3967726,a0a94301,dfc12d59,da63c47b,df6566fe,39eedd66,13fb7141,796c0353,9f560ac,e23f844f,d0d3d422,5b36e41c,b6707602)
+,S(b01a4f7b,9362be2e,78f5cdbf,d9e35f21,4d296a3f,3e233d93,2cf33c71,95b3f613,245b535f,c58254a2,157caa87,38e855ac,fa9b071c,1b6182f3,5260da9d,18e385cb)
+,S(50f3458f,a781d513,a944ebd9,6f6b791a,1b0cedec,1421f9a0,16a7f350,2d5f429a,4972c646,c1ad5958,18766bab,5bf54ea9,e9c4fe3,19810f1e,27f46cc9,41594045)
+,S(d7b606ed,e8fc3a20,925e0a59,5c9462d9,4e04b5c2,b64d13cc,19a47d1,ccf10b0a,dc39a8dd,d5447a0,f07b5e7a,6ea35286,ec01679d,ffb6eaea,6222711a,d57cc63f)
+,S(7629836b,73691a1f,f3ae6c99,7e06f597,34fb9625,2d1ec88f,2af15cac,f89c199d,296e4034,8eacfd71,7f64beb5,76736398,62114296,5fc818a3,ea89ba52,1b1a410e)
+,S(88f6a162,7baea31,3a2a5d5d,aeda2f4b,4becca6b,812a60d,4b5b4e22,6c822a1,d3acfe53,d6189ab8,31106ca8,2388fc28,5b567e5a,5172050,5be56bf0,187534eb)
+,S(8e93c72f,cfeae58d,fecd373e,dd3f31ab,3e4fa28c,f53681dd,ebf37d40,c376283a,e9c82571,2d0cfc0d,e6f35e77,acf0597a,7e2437e2,80f13420,cbe93acc,52901d71)
+,S(b2264df0,eaead63,111d7b05,8767cc7f,36d386c7,edf21792,e8aef135,9958b2bd,242eccda,5e4324a5,40e8d098,cad23ecb,88955bb1,126314fc,5da973ee,b1d83313)
+,S(9f1c9e90,7a6813a8,da520f6,84553a4c,aab650a6,7eaf4f0e,f2ec212b,95a885ce,416dae6b,f47aeb47,453fd0f4,7da6375d,136b6ee2,450bfe75,504f3619,84a0f355)
+,S(dcc7585,132b95e6,a4a24450,d557a0fc,3ec93506,fd1f5f02,17bd0f7a,6943fa1a,c62ca95e,d976d1e7,2bcad48d,9bc3a316,a35e8496,952a7a07,760ecbc,8903b001)
+,S(e3c674b1,eeb380f3,f08b1d64,32f4dddd,77cb602,915ac478,4f3c769b,dc2a30fd,fa8b08f9,8bb4a1b7,568c9d3e,754292b,1a35cede,1b377c99,fcee16ff,a16bbe5e)
+,S(1152da70,2b7341ff,69e8d3e,6f5ce8d3,bdcd3a03,27df54bb,846ac8e9,18e747e4,7c139d20,1e2ea5db,984cc8d2,4b66c64,8adbd0c9,48c0b085,d59c73ce,b4d7a91c)
+,S(3449cac4,abbd3ae5,e09dbc5,c89258a3,df93ead9,1f62fad3,a5add3f9,87a2f83b,197ecb64,5dc998fe,eb9b0df8,6267c7c3,f7af9647,96fea60d,88d4de89,33171e2a)
+,S(ad5cc468,11c5a39d,ffa313f6,578acb00,cdda9ce,b3757479,9f2afd6,a8df7a19,4fdf6093,c8fa8a92,7702982e,7e638948,b982d84f,ae6658bc,fa839354,6d6e76f4)
+,S(acad447c,b57e8f5,f528a113,347e5c5a,2097766a,b4664c70,3f496635,759a7799,88e1b4ff,3bf3e967,d2c6c948,4bb727a1,d13231cd,acc45463,d421431a,b6fc46ad)
+,S(b74286a7,e2699aee,9802563a,4da514cc,d74fd001,48534822,9214395b,36158246,8df2b491,ea018b23,b1c7fb54,b7a05db,b79b0ebe,1117e2d9,ce73e70d,d097bf90)
+,S(86bc560b,19d583b3,62c1634a,139bbd16,db30e823,75913cd6,fb688e4,38ceca4d,2126168,75c3adc6,c2aa16ee,2e028052,9e6612b,fe4b1aee,e4961feb,f530423c)
+,S(dd79faa2,e97dd468,5f3ff8b8,d5e55598,73736de3,9493a3f4,4e679516,f51e495a,2cb89020,efaae785,5376d901,4d1bc374,21e0ee60,29ac70c4,65bdcdd1,e240e57d)
+,S(caf6318f,825ca3d8,6d45c681,60d897d1,76875e26,bcd36d00,82b4e1ea,e6d8c142,d7abc304,55a5fab2,68c6d17c,3763e586,5b9e266b,bc6211b9,48b5ff3d,19f5df72)
+,S(c49dbf15,70c3f0ce,1afd166f,884af550,1f26905d,2f726185,7c026405,efe9a2bd,54eaad70,8bdb7b2a,59f5d69b,5be6ed79,5fbc4137,945be17c,b4736649,6e8cd3c0)
+,S(a87447c2,83c88db2,15630cb7,6029132f,47dadd57,5ea6f9bc,10d1b36d,8317a91a,8489d3c3,6334d65,fdf6089b,df19c3e8,7eecd697,516e1756,5fc8b977,be82c363)
+,S(7467b357,7d21b028,dab4100b,ebfa734d,36345024,adc60b1,10b8f96b,c7860889,b2978a5d,dea9765f,7877d8ff,fba66c0d,f7c8e0f4,6854deab,21908da2,8572b1a2)
+,S(6af133d9,bf2d6b57,ef69e0e7,5eef6d,eeb82d31,af490320,bd26f4eb,38ffd42d,7f4a4d1e,ce23c530,a4d64c23,cf0bf8,a46c59aa,74dce4ac,2854c6bc,d11b056f)
+,S(faff2662,5a41c80f,c0889d4,83eaf50c,596aa571,6807b118,1e94ce5b,581b0a7d,32f3d057,4afc487b,43b129af,f83bc7dc,d495402b,90fdc30f,736e87a5,469e8aa7)
+,S(8c6983d2,8047ab24,ddb292cf,1c8836af,7e75d7ad,6ce23149,e022cb64,2439ba2f,70a10314,447eaa73,924fdf58,fc607dc1,c69a69aa,29b84dcb,156fec4e,568a5bb9)
+,S(bfdda2aa,b23a37b2,bc129bb4,280a2c45,926360c3,2719872c,ae1e81b3,1b3d3d02,e8319769,b7d21199,9e5de1ae,76021c9c,2bf75ed0,4c9a6c2a,c52da4f4,88cf78a5)
+,S(80e24bf,3559d05e,c0cf63af,21dd7adf,237c23e7,ed930c7b,4124ad4,46871de8,c8f37f91,4e78e037,602ae9bf,ea3511fd,2c95ad3,6665117d,64f9fbbd,ecd10063)
+,S(7f56d940,2d6fb0ed,dc6ce187,2ee8e55f,45db30f9,8defa84d,f7fb76ca,aef5e800,f43b9e6c,b60ce85f,44682fae,d8a48e5,3d9599d4,f19b4757,74f7d6fe,2fb2554f)
+,S(437e7a08,900216be,72f14ef7,33127d49,9130309a,73369d2e,58fd4187,a0d428bd,3f0a4c4c,63dc779d,69dea37f,786a5157,43b3560c,16d4e56,4a1d7802,f40dec83)
+,S(3bb8db7e,8cb3534e,d7f70f8d,eeb1cb81,3ab21dd0,552c311f,f98f38e3,63321626,9ffd98a4,b3c271e7,83ec8c72,98ba83b3,f4f0a5bb,61ce1edd,5c1095ee,eb16a569)
+,S(21de8ce4,6aaebc6b,4ac51620,e2c78904,f9300b6,2930fa79,699e2782,5dc2310f,12a21855,50ceab27,aeb2e7cf,14710b7c,b3dc837a,67a1e4d2,6950e2b8,1942b9c1)
+,S(6c24ddca,e4245972,5268369c,545bc910,ffddd8c3,49d83fec,eb27af78,cfc0c965,6263abc6,ed17a124,c8b2c5e5,c91b157a,13512939,b9d60e48,929fe6d8,4d032338)
+,S(ddc0dfb0,49f7b6b1,cd1d03c6,f8ed2470,ae320f04,bc6f13f5,a88ba89,7bd1f91b,57c5f0df,8fd22e02,da44cd05,74fbcc1,c8b4a903,a909f906,aef9208a,89eeddd0)
+,S(6fc5fdee,78c61421,a3ec2284,583a56d8,f18e66eb,58c54dde,e5209a1f,3e3761eb,baeac905,6101b825,8b08a807,72c977bf,60956b2e,d98d1b25,e71b2b7e,10e3d25e)
+,S(1b6735d6,ac2f1db0,1c3781d0,cf42e2cc,3ccbf030,2e3837f1,3f6655eb,ba0dfddc,621e8c0e,cedfd28e,608c3da5,135d63fb,93dc6919,2a6154db,bf63e315,2f7db68e)
+,S(1a875a0c,ecae6600,4bbdab3c,4fa5a57f,925079dd,671bd9aa,e8ac5c51,b21a5e83,2317a0c0,81c17bed,a15e1148,f44beb72,d4e65fa4,96408778,8216f85b,3924d9fa)
+,S(51635c0c,ce51684d,9631c8ad,f6c9c4a9,3f66dc04,a372c891,294c42ae,2be5a84a,5c6cf3f1,bbc9c21b,124e78cf,ba05b2f9,ffb9c902,3895d584,48622259,635d3517)
+,S(c548df8c,b685f457,71c564ed,a3e9a77e,a4734faf,7cef877c,b0bd70ff,d85afe0d,2675d6b8,24f99a19,8825f1ee,19510492,9eb633d0,367c01f7,c922bfb,c2cd6dc2)
+,S(121592ee,aa39a310,3c02502d,72e360f,f500853a,7d2e449b,16c5e443,f42e700c,b5cfa2c6,689d973d,e0578a39,bc687720,acc0305d,6ad3b678,1d36941b,7f0cb435)
+,S(c2a8b66d,cce99233,b3d83699,b20f0c60,21a83ee1,46a491e6,d7e69ebc,92a3e046,e0f3aff2,64228803,d8c1d729,88780d2,ae8c344d,f9571b86,70254b39,b4243705)
+,S(b2b703c2,56ab219e,528886a4,4d6b7772,5cfc1b5b,17865ecc,c46e2d2,2420514d,b6aff027,b4408177,8c6cfaa0,123590a7,4615394c,aa83891d,15013d35,ba28a9cf)
+,S(d249c36d,fbf43f5d,c6ddb196,d78d4cbe,898d64cb,3b239f89,1e8c4245,ab647afb,4e58c9e9,4199e0b7,8a0179c2,c82b6442,17eb3fe7,80c687e5,166f56ec,f812d092)
+,S(ac3519a1,92c13eb,b37cd560,1a141d80,817226ec,7c86a053,42655c1,997b476,3522765a,afc2fe6b,2af9b489,27809189,74c2bc57,58ce502,13777ce1,a569083a)
+,S(e9b69596,8983ee86,340b96ce,efd9a289,e86e6d49,3f057962,77b99067,af83c70f,983a83a,e1b08fee,392e51e1,c12a8e12,731d592a,517e240e,ea508f7d,b34059d5)
+,S(e11e982f,10e65120,ca357106,f273c5b2,9900454f,81456781,36f52871,65444dd6,e961b155,81ee9ec5,1e6a3616,b7182da1,bd2e5db4,d08dad5b,46bee558,44c21850)
+,S(f63f4434,bb0c17dd,3a17c75d,2d179e41,10a7810a,847bd4eb,37827997,94e57b14,480bff24,69c2e268,a51b2147,3d6cf7ca,23a3c61b,513267f7,c25b092,7dcc8549)
+,S(cd8ea46,d65bb2da,7234508e,fb48a828,27678525,d102fa85,6d26475,eadc1a69,ba231ab9,513f90be,9cc8260a,fc63b05a,5aaa0280,3502532c,916d99c7,20b7b2d0)
+,S(af9a2285,ec491b56,9cf53c8,6ec188e0,5bf18d1c,d7e898c3,c881a5de,481bbe13,a0cca7f3,714f8d00,92af7bc9,62abbe5,4d106dd0,a6089607,35a6d9b4,73d9ed58)
+,S(5d90a039,55f41998,62e5cef1,af05ddd9,114632eb,abf27d6b,9b92c6c8,cfed8640,a0025e54,482aa49,11d8a556,2205c2ae,2a0f75c4,6f3faa55,7463b9b9,cce1281d)
+,S(aa1f071c,55541753,3a47b490,c5603aed,2d2e5282,71acd0de,6ea7c5bc,ba66a348,195d8b00,fd90b1ad,15e46620,22d78bb2,47c1e9a7,8ab3b018,f341a005,6267a167)
+,S(4225728f,ee2495d6,73f64d5a,cee2e372,2713a3b4,dbd2f098,d20415c9,3ab513e6,76c17939,461504e6,e1420d53,c5b07449,ce7f976a,e4de178e,69552755,75e92412)
+,S(669c2815,b3357084,bf7bab89,63753b0b,ebbea33e,5b731ba7,5f969890,3a281eb6,23fcf486,e2839e2d,91fb08a9,11ed7361,81de7406,54c13306,575c576c,d0459c28)
+,S(7b29749b,393869b0,d7f0977b,340b9e07,76a20ceb,ff6d8f8e,f4650348,11773665,a0d68cd,b6033ab6,a4c92113,c8f07110,aa5cf600,2335d2d5,2ca9b956,2874832b)
+,S(6f096ed8,56f38c26,25200774,77ef7ade,19fb616e,30ed560a,ee5b4987,5f43a7db,54453b3d,1ffce3dc,b5e72ec9,3f15b57c,6725b271,d3fe8b7d,8f30ed00,35845b6d)
+,S(1354de01,ef040d5c,681318c5,a6dfe7af,5c8eba0e,ab581674,acd5335c,e33c4bec,4002513f,ed215b53,c65686ad,8366cd7e,38711fd9,98d27750,bfce7e24,dda317b)
+,S(5f8afb0b,3800c535,47cdf93d,61ae5c67,233c2525,17f99c38,8e97e7a9,1a90b561,7dad53b7,a64b7068,967fc0dc,e7178a43,a06e56f7,7aab1a57,7910d69c,23540671)
+,S(901d50d9,b88abad7,84e75135,85a81d9f,a1d167f2,c9f377b8,e2598cc7,b249f3d8,7242b591,3c80db3e,748c63ae,47ee6229,2c1bc29b,e9f9088d,fb882259,405c3dd0)
+,S(2f5e27e7,4c7e00df,c0bf6401,7d1a888d,1bb7a3e1,3ff66874,f7c306e3,806a48d3,87c3836c,7fb767f,4b5ac585,62c48a18,21dede2a,7d63fe40,da75d967,cf9191d0)
+,S(8b2277a1,70464589,1d8b54cc,43bd5fc3,54fa6f1b,e7a062e6,6349ac2c,40eef8ba,ac3a007d,6b3278de,1c043476,13b254b7,69c9e14a,c2f50f9d,5f025046,2e06081f)
+,S(4a6273a4,e9f28e9a,82c3532b,e7d3e564,66e87273,ad1fcfad,7ecace6c,54890de4,6d8b0fb2,1cb99844,610a325c,9592cc1d,e7c8b32,d70e19b7,ab7df472,8fd1aa51)
+,S(f07330e,2ab0150e,435fe3a6,8c703091,4e7fb52c,307d58d5,d5120bfb,891f84d5,25b6ebc5,4c1d9206,33891a8e,39aadebd,988bd98b,a29b04bf,6ce4c283,a4438b08)
+,S(3a30b22d,6f1fd617,9fff2c21,d6635828,8c21fc8a,94a274b8,993ecb91,eaab54eb,94035c56,6ea179ac,d58eb0f9,d12cb41d,67b94fbe,65805110,61cd9806,890946b)
+,S(8c4f39cb,87d7f65e,591fa10,fd46d08f,fc5de3e1,67d8c9e7,718bff95,b112a5a,726c4bb,c64373f1,9399db5,18b5f823,3faef361,3e363b84,ad76052e,bdc8f2e6)
+,S(38118e59,63a1929e,74f6d98b,c80e44e4,d9b32254,6a0f1eb0,690d08f4,f3bd4bfb,23167e00,c29513e8,e82d1140,bef5bf02,b806a652,fee592fb,1dad0811,604a4b50)
+,S(75d4246b,db065274,550e9784,f3c9437f,3aec0fde,3af54a0d,61430cdf,2626bf5c,8392f570,3896cc62,d66f8485,9f7f269,4ff40a81,9505447b,7d79bb98,77f8f621)
+,S(ab3bb0ae,c1f390fc,8d1bd3fb,4ecdad66,3db868c7,c4fbe0ba,6cf4f059,7068ed87,91382a2,2dcfe0c1,b51148ce,bad2140,24cf099c,e3e5e3ee,867db7ee,d070c7e4)
+,S(d1453e12,383386e1,1976cae0,8a448b63,1a977dd8,47c19d2f,d7a212ad,5090011c,7044d595,fa8f68c2,4a972658,590d7ab6,dfc06ace,b9d8c320,205b858e,ba0402c5)
+,S(894afc53,b0d1bb6a,c948d117,7e83c42,b4ff4084,e593fd75,d0660680,2ec0a4eb,5c5eb493,73e74fc7,39ca4fba,1940ebe4,6912d896,7cfc036c,7402e8ff,8d071d7c)
+,S(f1dbde60,43133dc6,8699e89a,3dcaddc1,fbcb5ea5,e815eb5,8e7a6b87,dea2e6e9,96a7b1a5,b36e5492,68168c91,775d6107,a3f87f9,fb5c8b3b,acb75dad,5dc544fa)
+,S(ad9126ba,6d35d780,dd2841cb,2ba817d3,f0267446,ee99abd0,ee2b4910,a4450b8,f77eaa1e,66c0f3f6,88268d92,9c9ee53d,6dbbc20b,b74e864f,d7831cc9,3d47280b)
+,S(70d5638f,d3fc43c7,6f321157,f9715994,3b797d8b,1d366f5a,a5a7f1e4,ff1ff7a6,ba6f2d41,7af1c5af,dac8c83d,dcc289e9,4d6f29b4,2631ab7b,19414bdf,4a9ece36)
+,S(e43bb23e,1f82bcd2,708730b9,3d3ed915,e3b4ad84,61904f68,bd91a065,80a4ebad,3b528db,117cfb49,99941b0b,63f51ef3,926a6230,dadbfcdc,28fd1d6,2bd44147)
+,S(9daf3516,a015bd59,b648fd9d,9143e76,46b2e3fa,df5e446a,c57f2e22,9c9dad2b,5ec57ad4,808a9f2,ed297f7d,a7794e2e,3f1bb14c,bef58047,e0bddfb1,8ff11149)
+,S(13970b21,3115c499,5eac245b,33633c53,1f2be101,a541f129,7403a727,67df16f8,3444e05a,7e49ecfd,633c96dc,99a0fc81,cc3c359c,440ffcd4,5df61c5d,1c027e97)
+,S(12aef793,66978a2d,3fab4377,7debd5c7,4315b002,829b49df,c80fbb4e,1eaa94c1,e3f5c1d6,ea42b741,8bb3446d,c23679f8,e7a96d02,a8f33d1d,3404126f,71f9e37b)
+,S(62a2ef7b,887de5a6,19c753f5,e0bc45c1,7c47b8b1,ffbb0ce4,8b93caf1,d1ab4b02,7d00482c,20c25e01,ad6ae35e,89c263a3,5d0fc816,952a96b0,9f2c2fa4,b8fc9bef)
+,S(e6b03f17,92df5b1e,ec324ea0,898c031b,d745221e,791d2406,2aa917fc,de6f8a87,b4ee4b18,41153d22,1ec0ffe0,ec05b1c3,408d71c,5d2ca29e,a01ef9c2,e669b205)
+,S(dbc02e03,e03e2f14,53ff6410,afded1f4,f0d51461,5ee00f75,d041ee33,c4f35783,6a3a332d,99ffedd3,d442b44b,aaa9d12,9d93e372,36dad034,9c47bd83,7c7674c4)
+,S(f11be23d,6884890f,78ccbcaa,c1759ceb,5e7f98dc,19073aba,b85d85be,5fd23ef0,9afda170,dc1270d2,e43989a,4ffac7d5,c848ee6a,51e03b58,c308a4fa,39e2cfe9)
+,S(16ec4f95,1db5c83a,c2c26209,f2577650,e9c48c44,224b221c,c09b0b19,1c1c5552,e3959034,d259e9f5,163a44da,f87ffd63,7a35b220,eea5ec6c,301cba9,eb09dc54)
+,S(3cf701ab,8991e981,e9cbfe30,7b3aced5,c2147c47,f76bc2a0,733ee544,3fef3f99,1e6a3069,d4d0bb8c,def98d49,cd303b51,c45617ed,833be051,ca2836bc,13b8e1ac)
+,S(96d093fd,1a8efbe,4f93c544,d0d7e397,cc83e114,4574f804,570fa3ec,58d5669c,2a29438,a05fe50d,b980db60,b343b06d,1796ddff,7e7fe39a,356cb608,69c05ccb)
+,S(a6457eee,21025732,5094d3eb,6f6ea05,21e83184,adeabfa7,b6cd1206,9a9dc9ee,83e436a8,b234778d,9c7be0db,88639177,1d7a48df,19c29c47,682fa2cc,30b5e7f2)
+,S(1b366505,1c858ac3,5890e7dd,b4aa7984,dbacbbe1,f4d2b62d,5337b530,da9bb0a5,39d3c2d,42c5d292,40b474e7,2e94a64b,4612f5a,68f5b6bc,586db5fc,a41025d6)
+,S(e09325f4,68328cc4,d69a71d4,8ffe0380,bc118cb3,b8f390d3,4c1e56fd,27f4589a,16cbf183,78946fb8,3ff9763,41c6cc3c,9b2f451d,7661bc3f,3811f7e6,ea89a01d)
+,S(6a8ea7a9,ddfa0f9a,8473c47e,f5667e44,3e64e03c,5c33a9a1,f0f1257b,40e1ce62,92806471,56238c84,9c0aadaa,2e9efdcd,e5a56a2a,78803f7b,66210333,88f525db)
+,S(480b30ca,dc57c623,9ede2763,f113b46e,599076ae,ec687c49,33343178,c620f2ea,b5aa1b8a,ffe1e5ed,de587df3,341dd34b,57180cd4,752a1bfd,d06e4c2c,273b4433)
+,S(134be6f0,b03ea43e,98e2364,46a45253,ea5822df,46227aec,b24b09d5,b25a34b2,d4841d54,b7fc1736,b293d314,bf6352f2,c7b08ece,4de652d4,2c1b985,d1fd78a2)
+,S(7c84e23f,c54de6a1,a4ff6c9a,c7c88ac6,732d019f,a53b1a9a,a6eb2ab8,a3101f31,4ca88bac,a8d52f44,3703fa27,4fddde3d,ae5924bd,26b062fc,6f7fd0d,43ddf5ad)
+,S(7c6a349,911f02ef,2aebdc3b,ce77f639,94c4dd2a,a842b567,141c023f,4f2d92d5,9b4f2f9,6215aad9,c7e0edf6,efcd8aa8,74dbbcd5,4a0c4cd0,fb7e01e8,ba6884af)
+,S(9e1dffc6,a919c9b8,4e3d818a,5ec60f7d,5a2baba7,7d2dd65e,137d2ba2,8a1aed3c,cf26f543,bb7ef705,e2d3c429,f0ea27,84e3daae,1a71c556,38d281fd,aa3b1738)
+,S(e24f6abe,c7519588,33ecc765,7446ae36,937e310b,d5754c5c,343eecf3,6e140079,c38a0399,774ff24d,90f8e599,183bf011,aa3c911b,9a66bbe6,920522a6,7510e62d)
+,S(517505bd,1fe28c21,2fa85f18,99823b01,bcc3bd1,748169ea,54f35ab7,870f0e1,da94c34a,5de41881,1184fe92,8b3f08fc,362aadf7,5e7abf87,5d5f4798,fa712f3f)
+,S(a02217de,4ec87155,b877b7c9,dd7425b9,79627f0d,ebe127ce,27d4f3ef,fb988a8b,cdbd866d,7b69e8eb,9321d07b,2a5c9d8f,6eec8be2,f19a6d24,4c987a1a,12752bd5)
+,S(2e595023,c8ba084c,1cbb2d05,96ec35b2,7c366bf,cde27666,35d7e820,8fcb0ae9,ac08f27e,b8fd5ac4,deb1f46b,23ac1c5c,aa02b918,9761e6ba,d7c1ebb0,f412d8cf)
+,S(ce384358,fba557d3,b76df62e,d2264cf1,e0bc7b43,bab30be9,fd6f65e1,a82b6c2f,a3cbf24a,e067ad85,ae0fc86a,6e8490b6,1e44980b,52f29a75,4a3f7e4b,a79ad119)
+,S(9715da8,79cb1c5c,4291e00,fd2822c1,7f067d63,664170fe,463e86c2,d25e46,c5179ad3,a4846fb8,d6f290b9,2f957e14,cee99f6e,12fc8066,ec4dfaaf,a82edb99)
+,S(19f61bb0,4cedc19e,5054eeff,8d0bc384,6cf62a35,1af3ab95,e03e45d0,786e1aef,aaacadc8,db84d7c3,f869931b,bd33d295,45fb37cb,7e474fa1,7a69a683,117c05b8)
+,S(2a69afa7,581777ad,38882f6c,659ff4da,33fcdc17,a5355583,d1f8ae37,7dcbd718,878eb429,d42dfbd6,435df1fa,c5e0ed4d,e7b2fe4b,6f7dd6f2,6a3150a2,213fa619)
+,S(c3da1980,cdf257db,f2a5eda9,94267691,a5e1e679,79d4908c,c06f7f50,71002381,2cdf4de1,90ef2995,a984d882,598c24cc,35cfc47e,5cbd2d53,53d880cf,a944bfb6)
+,S(19294eba,9d19c03b,497551cb,7cc8d8ad,3e3b2130,942ca8dd,c8bc5579,1c424d2d,5523ac45,e676daaf,2d8da00f,5e9240e3,d904a536,63e6b704,735889c8,84b680ba)
+,S(d8b3b307,41ee7ff8,2306615f,2d2ef361,6e3f7cd7,fed9d56e,69300fb8,5eab6bd3,7d57c12d,e65bf3c4,6dde736c,373ea374,d090b240,6e1d97fc,8049e21e,aa10a74c)
+,S(e2fa1bd1,164528f0,87c72a18,e9843e33,43b376d9,b5616b74,5e0c3d00,eca95fd1,72dcfc41,15b35406,8bd3057d,506d592,771eb3fd,60a2c2c3,dfc2645f,86b249e5)
+,S(ac587775,bee32b7e,90031ad8,9786df14,8e4d9662,55a06399,e43c0441,883fd6b4,b6d3eaa,6f6a50ef,ef84c578,b241591e,4a718eef,fb40ac34,99a57079,b74c45b5)
+,S(74976cb0,77d481f5,e6bf700,6db57a13,f362fabb,e6aaf25b,6e956452,9d093bbc,bb40be31,7cfde25c,75ea859,2b622e4,9d42a0a7,30602241,219bcc84,a5f4bfe1)
+,S(e71e6967,f32647fc,2c13a94d,4bc1410a,cf9728d,1f543522,681d750b,2620a668,33c4fc82,720210d9,afb9f1fd,51671f3f,fc1df5f4,e61a5ff8,c59f06c7,91f996de)
+,S(bc36cf57,161e9b17,828e4557,74204c59,805b35e3,abdf4ba4,daa9a5c3,fafad6d2,df34c492,3018e879,bf459cb4,528d2983,340444f5,a85efc29,71e260df,29cd8a20)
+,S(925251b3,9c8761c6,317c2066,717a2e8d,89e43acf,89527ddd,6078fa49,2d040f95,aa7a084,8b2633ac,ce551f1c,63312895,f4ece420,5e224665,2c486beb,b8131f10)
+,S(4ec27df3,d9e755ce,b93e1ca0,e0e43f44,595b529f,6460e3f4,e6cc3765,3a2bbb21,eee3fa06,257b4be9,387ac7b6,6cc1ff6a,aae43583,37d6ed71,27ff753f,1fb179ac)
+,S(6f733e9c,b86c3a17,5bce6c08,347577eb,69cceb17,3c19abef,c94b6646,92859812,2a895d6f,c4a7a4f5,610e8b8,9e7361bb,db728625,ee31e6de,927c74f5,b10ad0fe)
+,S(c631f4ec,f205b1b4,6bc0fce5,3680e6a7,27f9e64d,5ee3fe24,c37291a0,d3a69b53,f0de9e0,e4bea2a9,cc01a5d,2f9aad2,f5af7ab2,7c2ff98b,983dd2b6,38dced4c)
+,S(9326d449,4fcb3049,8badc221,6d3a90c0,131d31ea,cbca74f7,2cf7da2c,bb6aa2b8,c3f268ba,4c9a9ab5,3f9edb88,74f2786c,4e4c065e,ab58487e,cd8101b,7132511a)
+,S(538c52d4,8fa6c492,cf546349,675d6a2c,ba10b442,8827dfeb,69f0303b,1b7ac774,c1b1db4f,d6d50f3e,c7533ee8,cea0d47,883b57e6,dd4137c8,2132f846,3b81ebf9)
+,S(5e58a25d,8bdb4576,d178fdb7,23158d26,508f8486,ad553727,907901d5,6e99a680,97c1f814,8880cd85,51c9f1e4,9ae58eb3,d1a01285,bfa8248,44bc794b,7d83ec62)
+,S(1e9830ee,b75d6c6d,c70989d4,ccb85e62,34a1cf94,ef81b65a,49b25753,cb6c13c4,d0780a7f,9607e530,d80dc068,68b1cf8b,82d3047a,2977d204,65187ed3,13c94c6c)
+,S(c5b441c2,f7e97a03,dd690cbc,ac605772,1524dce7,fb5068f3,f73d78ce,50fe0183,9bdd2242,e35008dd,4f907600,64eb3b29,427ee9b2,bbeeb548,62878688,a916e410)
+,S(a5f56816,e9448d0a,aaa7593e,e3145678,3be74521,b129f13,f11a276e,d419492,8406662,65c275da,76ef289e,d36f8af6,6ead9be1,48cec081,7c21987e,9e8af9fc)
+,S(c5e85955,44004f79,2260d553,25628858,ce50c95b,9362d868,90fdfd20,8d1184c4,6a5f02f1,c0f381f2,7fd21eb,928f03a,c8524dc5,9bfc1bca,d025a290,7cf939d1)
+,S(d5dd810,9e691f5,8694c87b,59907ed5,ec18d37b,8554799c,1481ac78,825d2ac9,ffbaef54,fd35a5ab,a49f9946,a11e5ad9,2f29590c,20e28180,9f4be3e4,b156dbe0)
+,S(ee5d42a2,c705bae5,a11d9d09,af3217d,2ec16588,64a60a56,d8e4a1cd,4313c61a,f08f0e08,89c015f5,3a2a74c3,3dd625da,b329181d,1d0f4fa0,14ec01e9,5d113d88)
+,S(90409eee,78af819e,249f62ea,3b4d70a9,26557f8,731e50ed,532c0b30,4616d615,17aa7a7f,8af635c9,c4ea353c,56c89da9,70df599a,faec8916,ec9a6d82,cdf957f2)
+,S(5f19aa1b,a6d6e3d6,9445e8cd,71c95e3f,a3ddad6c,ff0dcb4b,9e09aee5,65ba9e46,f82b3170,c2953397,a6cd29fc,9c87bcd9,76cbc7a3,5f953948,5a57a940,63c2e570)
+,S(5081942d,1039bfcd,96a759c9,27583c45,8dd4c013,59fea307,40c65fad,d020606b,f6f204b0,97cecd15,b2619aef,c25328fb,226598b,fc9384bd,de99a4d6,567e9b8e)
+,S(43eea7b1,acbb1450,c9a49b0,262639f,702612b1,b184ac15,675d6496,a5df1a54,a31636f9,ceecfbd6,60f78f,f6cee471,d4366d7f,ff863db4,9a5a652c,71b94797)
+,S(f2860e98,a30a6c14,ac43dc9c,61bbae1f,b8ecb294,36c8f0a8,7dd43c01,486706a1,bc83bfae,9a4effeb,4beb025e,962108e5,4a5d7979,cb9ae2a0,7cc44295,b95a2e9c)
+,S(6b4a8c28,7d5c7af,63ad8d34,9751116b,60a613f5,7cac229d,7ef0d9c8,166d69c9,48333ada,f4810cf,94c78d43,88f8842d,fdc9fd7c,d391e456,a592d8b2,200bd6c6)
+,S(d1efc808,393d4498,50837323,9b791d0d,a814e888,2958da8a,87136d93,bf1b7d74,13247e74,3c323631,9e557476,4ad4dcf2,b91dbc97,2d38244a,fabe4c0c,d08a9924)
+,S(d3fd7a6a,fdc7332d,f2e6683b,a05ab787,e3c48262,ce837f9e,d8ebae1c,1f6f7ab2,3d25bfd3,3ddd4f74,8ff395a6,b4f36d19,cdb28ce6,b56aaa55,e783e9f6,3d74e70b)
+,S(816f76c4,c5ea8733,5f220c54,28b31cc6,89fd8267,e498a675,4d6a2620,a60d9aac,d3b61647,f6624bb3,9fbb672f,51b66613,8a441a3b,660bb223,1f255488,806e79c4)
+,S(1e344f97,98f11372,aef5c6c7,6b32a568,16198e18,8e611026,1dc78338,2522cc93,474e0218,9bb4f698,15e304d4,8166e3cd,717a1bc,a9cf4e4b,1f5c5d23,a36e392c)
+,S(4d3bcef1,d6cff8a0,e0582d11,22eb7f67,28aae077,e9ef7960,ec519ab,3c6d6087,29f1b01f,a70e6812,3dade19e,d5d2689,6c491389,27a2da1d,3c628965,bccf38e2)
+,S(6d5d596e,467ce203,297cdfe6,ce4807a6,1686a8c9,f0606283,5e0fa194,894d027b,ef58ab41,1d6a002c,12f469e2,e9f8ded4,4291b270,4b7490c5,4c70c94a,cb7b24ce)
+,S(86f6ebc9,c25f6866,f14af018,88486b22,6c89b1fb,64bd9ac6,e523e503,e2cc6819,b0725647,4d9f3b4,8d4055d,e15b72ca,ce599bfc,247ce9a8,4b0d5e72,16b30425)
+,S(520115e9,a47c3df7,23f81df,8422c03a,ea0084df,b122759a,8d6a5b75,540cb339,93b12878,44f22aec,9d5ed727,3d204d85,d3bddaad,73e3545e,5725b171,2b8417bb)
+,S(19c9ff30,e5e50038,7e9be1f8,efddca98,7a72de0,d5cad8ce,7569d4e7,2b381009,b43b0c98,402748ee,16b362c8,b68ae79f,8493a7ef,293b149e,3faf7247,83ee3661)
+,S(bdf0f8e0,928affd0,87566820,3c95b3b4,e6baf9f,f1da25c9,73814c27,551ee4cf,5f701bb6,8f8a6795,cb4ad675,e00b5ca5,761a0eff,32a1d3f0,9b29d5b6,3885163b)
+,S(5c609591,37a48dfb,f778dc26,80de17ce,390ec33c,ea5cace2,a969ee9d,1e413e1a,670078d8,59a2c138,93946d1,e052552d,fd92c380,5fdf2ed7,8aad7795,2ddf2f51)
+,S(98f22ef1,b9a62928,c5ddbdf,70e71c08,eb910ff1,fa6a6a1,56de82bf,bed8fae,f87be19a,9433d279,8088c882,5d122e31,bec9102f,c580fa2,24d40f32,2a2db1e8)
+,S(d1842bec,2bfc5fc0,d5208d7b,40e04b76,88f26add,9b5a6845,751147e4,b4524615,f0405ace,6dc9bc88,48d18586,b713ca3d,67b76ad9,4f2f794c,55fbe9d2,f72ffa56)
+,S(732cdad8,e0aaee77,473c0140,9702cb39,555ee048,357fa448,33ce8e3f,5f50bea5,24666502,448268a5,bc2c693a,85a1fea9,dc5f010b,a9b0cce7,6bf36124,bca1cb0c)
+,S(6c86ebd9,5200b1ff,dbb6ce6d,e9fff6b7,1b6100e3,1144239d,77e7201c,db2e8af5,39c687d5,abff0ec7,c7ccc4b2,a4a16ba9,7324430e,a1ef209d,5ea126d2,cef24539)
+,S(655d63c1,47441ab0,e65f9893,dd38f3ca,22d2d8a,a7b2c87d,a2e2293,b24ffe0f,d19ede94,b25ca138,94ab8fe9,842cae29,92cb58da,592c19eb,57c4184a,45121281)
+,S(8efc14d2,d5845886,ec264438,449ff49d,ddab7567,69999bd3,6191cb39,efa41b72,9f1052fc,416db1a1,d9797e66,a816b403,475ac091,ded4dfdc,e262d527,3c535293)
+,S(31a7f0b9,1686e695,d1fae6e3,8fcdbeb4,246fde30,f2ca80d5,2d9fde31,c728eef2,9661bf7d,46248da3,8ae1ff52,a8aba654,351a1f58,4f3bbfed,1875d439,3612190d)
+,S(9dd959a9,8c862275,93dcc957,e369b2fe,5cc1d411,d4162ad7,d8e22b64,633adb85,78ccfeef,d95ede71,32a7011d,bd39b9dd,f77e38bc,47f7432c,f90d6583,5a6e665e)
+,S(51beca99,fe3cedfd,1ba44caf,58c0fe4,8b926e72,50e5ca7f,8a187cb4,909b1892,12f38fea,aa9de148,7c14eff6,96cccf6b,c7cb23a8,6f2b7e0f,10fa971f,3545a0b2)
+,S(1a84e21,3ef9b9a5,9f9a4fe9,d21dc1cd,1ec7a102,fd91557c,1129921b,781e6b51,aefbd931,17a42a75,13db0e04,782aa0b6,9cd79d36,b074f026,bfb7682,983cb78c)
+,S(9eb14847,2d02a287,cd197450,78d81963,3943183d,c76c2090,9f68b94,12eeeaf0,6fe4b5a2,d18ac52f,9a129a91,1db00993,ca505380,2054b5c5,48f35380,c6d467d)
+,S(9ecb3cc8,da5475cf,1a66ef54,3286f07,f5be1196,2c1fd420,b394bae6,c4256441,b4160952,e3701895,6f25c5d2,98ce90c7,91797571,267902a0,bba53d2c,2fe2cde0)
+,S(541e567c,b2160fe2,75e9d479,1beb8ad0,4c07d6b5,12b43d49,888963f6,d6696ce,2444e184,66cc09d6,aec704c6,ea8ef670,4ed1488c,dd8107c0,c625b783,6534d6f4)
+,S(8c061b6b,b6b55fc3,7c6d805c,808fb3e1,6fab1cb3,a05853bc,4933eb39,ca7b3580,20430304,c3780c29,a977f8d3,54424539,67924c2e,9a1353da,40716ef5,a0a0d37d)
+,S(b9b674ab,361aacec,bbb69f7f,7c2b1361,44e55da6,1566ed97,cd58152e,4d391033,7841975a,4cf0b5b7,3bad8433,10866275,8a8eb93c,3b5db58a,15346083,f3d10386)
+,S(3453c3d2,27e1dfc5,3e22487d,cce25ab6,18a3d25a,48f6fd1f,8e9158ec,dd6bfa1c,aeef1768,b754d998,fcbc75db,7a750396,930d169d,bf933c1c,15dfe041,17ff63a6)
+,S(f36f7b9f,28463b22,d2c43e29,6b96846c,1b3401ec,53490c5c,35ec197d,da2c440c,9876476d,e2cfb7eb,b1cdef50,a39d20c,4ba5000f,9edef22e,ab7b96c6,f0cb5585)
+,S(77c64190,33ef6119,ac3edefe,ed519632,ef5dccf3,f46066bf,6d5204e0,66788b5d,980cc59e,a103486a,9c8cfccd,213cf704,3e6aacb6,abbf3293,c833de88,e5b2716a)
+,S(818911ee,6051c4d5,19fb7785,d52c6f27,a82e2d79,a4a55623,909f3d6d,b549e851,5d031307,a2d66fce,4b607967,f662bc0,af855112,11cc209d,8457ff41,968fa325)
+,S(bf5900a7,7c211a75,231ebe58,17f91748,c957f5ae,b98377b1,9554fe90,d11ff226,d910b2e3,1760f0de,838cc159,7da6915d,e6c3fb29,80bc0e65,e87a36f7,749cf1f1)
+,S(654b4257,11f03dbe,75b7d60d,b578d75,20e7cb6f,4923f774,8799b4a1,df06fa16,12c9e75e,26d3ab4d,645a7a64,d97eb6c9,356a3951,fb715bbe,9e42f500,a0c3f44c)
+,S(33a425f4,f178af6d,48b78873,cf70da66,aabbaae0,397e6673,7a9c6074,15ab3d2f,1e5aaddf,d76b1b91,14016f02,1812d7ea,18decd14,ca3e3925,89894151,92178cb0)
+,S(cb088930,f0ba3995,d7542d48,92ce47e5,5d8fdd5d,7adf60d9,3651240b,12fe7636,aad156ed,f0b25c30,e4bc3784,a1b7857a,4cabbe5d,2ceffb72,ca2cb7d2,45ddb024)
+,S(ffa9e81,afb11dee,83a54b47,fe9b41e4,de4191af,7279d19e,90e1c528,7c205c0a,405233e,b20a4848,80210b40,18c098ff,a0a17203,c5a13b12,5ec0fe92,1d1c3567)
+,S(92ce3be2,8fd6c9db,be1cd4d1,f58005b2,af0c136,89181c52,a67c2503,2649a6af,cdb840c7,7e0fc2c3,d4b959c6,6fc47142,622c8a16,b30168a6,c62ef368,8bd23932)
+,S(46079065,b64bd3d3,3e3efc91,374e1443,69adc4a,bcd2bcfd,91ebed0d,88f78cff,b09653a1,1c0710bd,b737611d,e5d80e67,a516dcc6,2ee3f63f,e2d6a7,f3794ae4)
+,S(5cf961ff,de982138,958471b4,b316cae3,6246ae74,e1309400,a3acd118,e4736c93,ab8e425c,ab39325b,b94925d7,795d8799,18efc449,e44c9f03,cf7bf487,fc32b185)
+,S(d8fa1009,27c1aad9,6ba97005,f8a24013,bc29082b,ada0e0ae,f6f72ec9,8abc4240,38d88e5e,183b2c09,d53adeb5,8d0525f0,83a512c4,1dd64cfb,a7024602,f39e484c)
+,S(cdabe8c6,7d0d4627,54cdd3d5,3e70bcba,e2ec925c,a46a4536,ce3be9ae,e0b37d8a,c2032dac,527cd15a,a1d812ce,1c658cc2,a0a379a5,2a30613c,2737812a,6e683830)
+,S(394fbdd6,7069d83,8fdf87f7,b1c179d9,1a491ca3,680f0103,46de3299,37e92374,5ceac741,828ac862,7fcd587c,69844243,d17ba038,901cdb42,36e96685,d589a693)
+,S(84eb6d44,103f56df,96617c7,11c79dc7,a6161189,157a0782,74fec78,fc5f6c37,57a16660,4d1fa3d9,cb358e7a,47984a00,6926df57,4e06a313,7b3c7524,2e882320)
+,S(295dca03,657995e5,d432a606,da12bec9,fec8f4f0,582d75dc,5657c973,7cf1051d,c4df0ad7,b1e3a29d,cca4120f,478a2d63,f18fc67f,bd201be4,e2fe05fa,66ba2d6c)
+,S(b42d81ca,1bdfb038,d7888194,deda7307,eb846bf1,738d8b7d,89663bf2,8097fa7e,2d913cc9,93ed5118,1082c85a,42495133,ace8bc6c,65530309,c6e15794,aceff5cb)
+,S(48484186,4f6d8f3e,94977a3,45bc0db3,1330910d,4c555032,da8da876,912df644,7a78a8c7,68c9d9ef,b5242fcd,b7a5946c,5fbedaa3,2914339f,8b0c0ac0,eb8a3146)
+,S(7376d600,9a7a76b9,dfb7e225,c0da3186,b683fb13,daed9fdd,25ac6606,7e7d2316,fc733036,dabd7c4a,719b699c,da115547,8a52d69f,387b8a94,28744144,c0502901)
+,S(9be9c65f,5fd6cbcf,522eb9ca,91427f68,152caa2,a152051e,3919307c,9f67ab8f,14da6642,fa3b7c37,41c9f953,d1e01c09,267b7885,8414fe5f,24f47c4,b44c413e)
+,S(7d0ae5e4,18d6c6df,45f6d26a,7e962335,4ea1a338,8f183eac,85b1eac9,1962e2f5,551eedf8,264763b0,913307a5,14fd9e09,479f43a8,87983e69,509a3688,d09308be)
+,S(d91d965,d3b85441,acec7257,d444cba0,6243b34,14e9665,9cc62cbd,89aea7db,54e26ec,9c82bf54,f06cce16,2cfb924,2a354c83,fe530937,9bbe733,6010f44f)
+,S(44c8fe95,aa48f8bb,6c0a32da,a6263918,fc2df7b8,6a68f277,6bf405cd,1bf0566,87fc1fa8,3fea76e5,52f53612,45e54053,9d70377,cd865915,b6b78acb,f73a6e03)
+,S(c7f8e825,5f2ddcfd,f21c5c20,ea84a527,2c5f6c59,99843c96,3bce9e0a,aa7ef398,5c1cf086,9c1f790,b1e59ddd,ec9729dc,2b73c6a1,be333dd7,e423a0be,bee50243)
+,S(3a8ebd85,a2bd4b1e,6c0373d0,63e9cc4e,a91e6e1a,f4bd7af7,501e0160,8fb7f4d9,4d9351b7,3c3f6f36,1b86ae94,ccecd211,ee3b13a9,522d799f,e78c87df,4473f23c)
+,S(bb01a4cf,ad90f3e0,5355f0b6,d1b28420,786c09dd,9db0ed5b,38a56506,4da77e9e,1742b511,43bc276f,273afb9,8473ee3d,3d962050,7462cdf4,a8c641ef,cc2eccde)
+,S(eee45594,1a04bdec,a02e7e85,1d86987e,798c27df,adcfd5d8,2979960a,3983f4b9,3cc75025,9b5d215,37570928,1abca8a9,29f5609d,56c8dca4,3d1b23d3,cba3fedc)
+,S(d2290ec5,120d591d,2e4e2796,3d10c0eb,e73d8b9b,600587ca,84173ce6,796123ba,c4760011,4c68baf7,b4053666,d8bd494b,b4ef1786,c1d7a522,8a656f10,1c837304)
+,S(21e359ca,9b7326bc,b3380282,b9017df0,3cdfb7f0,af95f326,701bd8bc,25dc047a,68b866e8,555206e9,7cc43461,34c3a61d,ce2a50ab,2b514935,a05f8e04,ad95c70)
+,S(b4acba20,94b35033,5095b208,9126367f,3203efc3,35caa43a,51857181,f4987e42,fa0f72af,77db4913,af6d906e,54eb33f0,a3e9d20e,d366c878,3b7c513c,c5165c16)
+,S(5ac6b2da,18754c30,9ae46ac8,3592d673,ac5d61e0,35ef1b4,512aa9b6,7551862a,e93b1d74,105974cd,b6bd3043,c0dedb8c,b4eaa81,c949999e,68d52fa,4a3941a8)
+,S(4a53cad7,2a894cab,9b761157,38ae78b0,c36c293,c60ba8d4,b87300aa,792c51d,4b0dcfda,b890ffdd,cf8a6a71,15f2a351,d883ad8,fe3d15a9,118f3e04,43f840c8)
+,S(5edec48f,7d8c9b4c,af3371c2,6e054392,755fa073,1e660971,4e089b04,2a07bc36,b18b8d1e,407f934f,e526fa5d,38b3a408,76bab92a,2bc192b5,b7c206ed,6ad040e0)
+,S(986b120,618abe6a,d965f9d9,6f50fd7b,29f1b897,8276ff8c,562519ab,8aa92890,2c981569,23ff1809,1cb47459,bafc0d51,699740b,ca59dd7a,14e07b9,432f681)
+,S(8c61517b,397d36a6,b30f0894,98d525ff,bbda959a,126e9be6,f67b9831,e5e7372d,f7608f24,130ce8cf,56a7b762,c1563519,a4be88d1,79e90f1d,b432ac05,d472d771)
+,S(d6abe67b,e30fa40,b642483e,a6ae7ecb,4217a07f,35546f97,469aae99,a286b8f6,b5e5675c,91aa08d2,a5a77349,5f1ad2bf,8b6b9dbf,4b35dc6c,262ff1c9,8eaa70ed)
+,S(26be12b4,ae013009,45c8ec05,58edb030,e19a75ad,872104f6,8642bf5b,c30f7934,1086891b,3ce97d8a,a568fe54,28164f25,4fc15953,c97d40c8,f32c0ec6,6ed49fcd)
+,S(3f0281e9,1dfdf1de,69d5112b,1b86ea89,d737d09f,1cbbb71d,2400d0e7,719987fb,27451e9a,2cb336a2,998d55ca,ac12e16c,fffbbd5a,3703897d,5f566ab4,5f4aba92)
+,S(b84b8115,7b1782f1,e4b641c2,a001daac,ac7d53f5,b3f1fa5a,d0a5ddc2,732af3b0,a0c8f7f4,8fa49815,7a6c590d,4ea18dc2,c586b332,2a303061,c19edf44,ebba25ae)
+,S(790ab328,fd86da4c,66f0989,296229fb,609de28e,cc8cc6d3,d315eb89,fdf31e38,cdcf83d3,44d103c6,736bb5c6,375bc2e4,3fcc46f5,777d6e5d,cc407700,15d29aa0)
+,S(d5fee68a,f9b7f182,20ea6525,6a591f24,da79a642,4ea0fe31,88a0b658,9006fb51,87b8608b,1b3d0d71,c9ab2c9b,84654408,af6551c7,1e8ec6d4,a8f26cb3,20577532)
+,S(410f9801,4622b22d,62eef39a,3c5350c9,e80ecef8,48c4295e,2ae279ca,9623e777,53dbc737,5766d9f8,ac0b8b7c,e4b852b0,3214fe70,24386915,84856c83,6376821)
+,S(6cbfa6f,fc7a6009,75edf0b,c260bd2d,258bec55,382e650d,c464b16b,e5f34eeb,de72cf4e,33028bb9,18ed3a41,d885faf7,e1d5901a,ad7a325f,801f1a36,2ed730c5)
+,S(2a75c02b,3325ec0b,ffa42250,e224a4de,e0c4c12b,69b71039,4bc3040d,80e5c504,ed666a2d,8ac26964,f0445d21,f1719ada,fbaea128,9edd69bc,94ae6123,a2e6b8bd)
+,S(ea2bbd57,6c0b20a5,6790ad87,29f25475,24ef97e3,86663aba,2473994e,fab39134,d98d55fc,daedbd5c,3aab619e,1288634d,f526f873,19743f81,149ba85d,535172cc)
+,S(893e9899,fe1b8a92,439c1594,634ff44d,1d0a60cd,8a0183a,b810bb8e,f80d0400,c680717b,aa2ff029,7baa807,d7290190,37c73d0f,a5a1878c,9fa2a6dd,d17cbb2)
+,S(d75b0a2d,1e9a20c5,398fc3b7,cacc79ba,fd53a14e,ebe23196,e4bdf4a8,f8546422,37a8efdd,618bcff3,3dd0c0c9,f8bf3192,2e131764,305b610c,88a2b74e,44672981)
+,S(96c84a8d,5dd2ec9b,44a5b2d7,af3b65e4,9c07786,969452c2,5e8e64f5,a264c14e,292ed1a0,dafdf3f4,83a2a419,6e1b6b28,4d7daf88,88c7268d,70e556fc,ff55341e)
+,S(458895f0,77782a62,43abb775,7daec5af,264a71e0,6eccaf8a,3b23baaf,fbd7343f,809eb056,87bb618c,a0f4e1e7,c8d05e48,95f18393,2e949b22,b9ddab0c,55d32b93)
+,S(59dba4a8,d7956515,7f639316,75fecc7b,58a0e91a,6c9c3d50,7dae6d40,2e67a9df,718094a2,83e47265,1ef52d4e,db25b0b9,9e069f,391ddfb0,d9987596,d2f4ee2f)
+,S(a5f92445,b7cd75c3,9a4b3199,96baf00b,f855ebf,ab3e19bb,71d4346c,878b4bb,9bb1bdb5,baa4d56,5b9c5077,c86b96ec,953ce381,17cc8d53,7b0f3957,a582ddd1)
+,S(f146eff,2a9ee1ec,a3f26d6a,17c89639,a1f3505d,2776e340,ae89449b,99c8b198,1674daf7,a66f1a89,7b5378e4,add6a196,fd27795d,88969a07,a210d33d,646a64af)
+,S(e67f5967,d98c1d3c,3a4d0872,12d3b65f,6f8df216,5dc14633,92c23ecf,ffc17e1a,c3dbbcab,d1971eb7,a8b088c8,c71d65a8,328bf43,58f0e685,9025db87,e5391380)
+,S(32e8d775,ed37cc2e,6f69c85b,71c95d65,d40f033c,b5eef362,86d4499b,fb6071f,2fbb1d8d,a6364791,95ecaf52,6f63eb86,e4604973,edebbf82,b796d88b,ade44334)
+,S(b98c7cac,475ee4a3,c1815a17,e460f76e,e5334b27,e1ea319f,be8924b5,819a473b,d7f1bb1b,a653f20d,c7145420,d8c8c339,d789ee60,9b9ff0ce,73910b94,3deeb88f)
+,S(d9830fd5,545dcca0,ee37a402,9f406cd7,50bbaf59,e60a80fe,da976bbe,ff9027d0,cffab795,e45a2833,75e7b861,728421d5,f9e22d03,44f835a4,c55207bc,6479b947)
+,S(399fbb5e,4f4e27ab,3e737a32,d065fdd8,c003ecaa,84a2430b,4a7b4d40,eb6f9721,93f7b541,121d13bc,480f7868,ac9d8302,6706d2f1,a46955de,a3912735,c5f02e0)
+,S(64e067fe,17127128,6ef0fbdb,b2adb4c3,395a1ddd,f2ea76e6,261e6cf0,112c6227,8ef6afa,4bac7536,a23f08ed,eb8656a3,47a13f25,2dfacd37,c215cc3f,473687ab)
+,S(57eb5e46,40721263,97f0d12a,532aa1ff,abef7822,4ba9b10e,8fc95e1c,6075a071,8a700d2c,80df0b4d,7e2c9291,9a51e565,8dd6ba5e,59bf1503,7bf7a0a,935545a1)
+,S(b83adb94,ba1874cc,c61ade9e,43093cae,5bd86ff5,e86615c1,abca14cb,6eb81877,93417bf2,1fe01c85,5c6f7782,a5cdb01,a5d13b29,d719f0fb,a2373ba2,8bada7f1)
+,S(7a90bb49,71537bc9,3d1bed23,891e43c6,e350fa37,ef8e73a2,3fd46ea0,5ed879bf,ee0fa59,3a51af19,70a6d8b7,22d42bf7,ca253572,2324a59f,c041b3e7,305fa3d4)
+,S(195e4afc,6c95d6d0,8273cb0d,fda2da3b,4696b569,650d4230,4d396fb,3e653831,44075199,9dce9d6c,f10ef736,7888dbb3,a713423c,f2881cd5,76a681ce,6fee2c8a)
+,S(28ec566a,29bd09e2,f8b228b9,ff2ec49d,56660734,f2ea864e,856be0ff,fd6f60ee,5b4f5e34,298b5a56,a6826143,8ba59d25,4922078d,f36dfdfe,d4e8972c,647fe031)
+,S(1e005b72,be1bb77c,80512581,58e940e3,544cc133,a76ddf49,b681422c,1815cd22,9c523adf,4ba5d753,93e432f,491f8e1a,435165b2,f40f79d7,889d82f,8951a25a)
+,S(f54ae39a,d074c399,636f0dca,682b9405,4e87e87,3132d7f9,cf79ad85,fa82586d,db2e9b90,1c2dac2f,f4851f4e,b0ffae7a,4c0cdf34,ae9f964b,841c539d,84040667)
+,S(bc8dafb8,d385cfca,3643fc75,c8a93f9,792d2b9a,715269b9,ec40d581,5936e6c6,dda791ce,186ff28c,db7636ad,4073996c,4a2e2875,80da17e8,90d03886,1c14aec9)
+,S(60b6ea82,627f5414,16978e7d,3c9d911d,9d9de92f,3baa0975,a8de4e3a,8ed3ab2d,64693ab,fd095109,ef89cdb2,204f2f3,89dae035,f451fe28,58fcb4f1,dbff0999)
+,S(9c8d1352,bf291803,22730718,5ee65aa8,b14211de,6d73dace,2937cc6a,1ee79134,3c6e0d66,48f3fb6b,23e6e4a9,5df3911d,797afb50,9c12e90d,7eac557c,7b1a9505)
+,S(bb2a8344,2997babd,6cefa2a6,1c9d2fc7,a42db3d5,bfb19334,c7535bd5,630be896,20de4f27,69596e65,edcd695f,61a0d8,3c8925a0,c8707470,9e84bd41,615ac75f)
+,S(ba8bca72,496a6046,7b250a38,cbb536e3,b9fb9ab1,43800655,8ef5d186,2b66d50a,81abbb33,e835f864,3d075858,7ce59671,7e08c1c6,75af4c5b,eb80429b,9dc46aec)
+,S(529fde52,c4d1c978,405107ba,d862f7b1,995ffef5,cba4a59e,d71b366c,28e17b46,ed7c2521,d39ca130,60d5f509,d0a8b0b3,40eb78c0,d4e4fc4a,83318a65,226d0a05)
+,S(6e0e10c9,4445acc3,593efdd5,4b8ea1f9,db4a45a1,4c2d0a27,edbe3fc0,7a90e91d,43537a25,d2091290,f753460d,8816ff10,41308e6d,fb04b7e7,d5a108d5,c9fd83a)
+,S(b2f90714,6fe2e01c,5cbd73a0,c0a358c7,a05aa730,97a060ff,491f362c,75c20e90,d0e680d8,f7d27eff,12b332e8,a92b846b,4242a746,9b31740,6c6af499,5ab51948)
+,S(bf631a7,933e3ab5,f7b8707e,55a9498e,31ec3f36,970bb9b3,f5efa0cd,1a3f28a0,1030146a,387d4fd9,c12544dd,a448133a,49b5a6e0,d4b96933,cd47e89c,608dd5b9)
+,S(cd7ec470,e9d5e3fc,a4c344f2,9edcd4df,4b7033ef,5e7ee99,de0db6a8,43926034,3aae77b3,bb008cb6,e982d673,7f78e920,f3a587db,bc106c0a,25c65d45,df8a4f6e)
+,S(b3ac95ff,8365813e,e71199eb,946b5888,7dd34b1b,a214482f,dd3b7fa,3b8ce6b6,e3d9bbdd,aaba7887,8e763360,abd370d5,9d941ba5,cf758d33,3b480f00,ec5e7672)
+,S(7fdc21a8,6962fced,e6f9fbdd,77e60a00,4dfb858b,5b149362,dae4b4f4,a4ab84fa,2ec0f21c,3d1c6d60,f22817a2,954d02b1,ce6e8b91,d826c11e,f8e542c4,245a55f3)
+,S(6f019691,def39afb,103e524a,598bca92,3c99e44d,7dff4866,f76fb6c4,47e6b40b,a225b484,cda916f3,559e5782,3b519827,8bd7300a,c31dace1,7a797582,2a2e2a31)
+,S(cb9a979f,c4e8d887,f03956da,9ac89637,579813b0,c3b27874,82961a54,e54c16a5,ff42bdc3,1a837d98,b7d37a38,db3c74ee,6109e868,d06b7c33,d5562dde,b11ddbf2)
+,S(2ccee51c,9d63f3e8,99314da1,656cbb15,635928bd,309cde4b,69699860,c0e28736,dff9a128,adb8b4fb,7bcaa1eb,6bfb390f,226b2ae0,b72443a4,5982d559,91d379eb)
+,S(a239538c,c5e0b53e,879f484f,7202a52b,d52d1cdb,ca7ae7d0,639850cd,b2c4f57c,6cc1f9c5,8998e347,2c6db0b8,6b1d9092,d3cd0c84,267bea8e,75a172f9,f4879dd5)
+,S(e77796ac,c619974a,63476635,7bb3bf33,6ad1e87e,8496bac3,378db956,7beaee90,3eaa4b63,c9679050,59d8cf67,7b7095c,4064534,1c592ccd,ddb7626c,10586f0c)
+,S(52c332cf,37646a2c,c1bf25cd,26a6131c,3b243688,9c44d804,d2762fae,618250c6,2279bab0,a19f78a9,43e695d4,53a0dc3c,f0312987,6ccbb70b,1d61eae1,e92729bb)
+,S(d68826da,36e5f78c,bf728468,88bbe6ef,f6e55d34,f8b47a9c,8296e662,4ad9bbb3,88ffeb15,5f70c6ab,9b83f9e8,30e2f449,7e661dac,889803a6,d30a2ddb,11bfca5f)
+,S(af92bd8a,2a5b0034,ea074d69,a1d7a517,808d3b61,58f5f7c2,d3fb08e4,eb825cf3,2fef9245,a4a3c837,d4b57ded,52009294,c077a801,8f633313,b6db2d4c,92c724b7)
+,S(df86fa3f,63d95d73,98872011,c7545b3c,f5f27fc6,a821bff4,5d09afd1,bf76d895,a891e766,12953c4f,37a463c5,ce449574,b1906c63,c192ba4c,67f4f78e,d1e93a35)
+,S(a049a35e,119e27f6,e272774e,f470ca50,9a1da9b,a4e5d781,6e64a13a,23383c24,4cb8e2eb,ccc82ca4,a2f82841,34eb3a05,f85a2335,a3b1b117,92886029,96fb3fd6)
+,S(b3193cbb,f3c8f3b0,b47b1a0e,5689461a,8da801c2,4c8d51ab,fc2e67b,1d9f331,2032a290,3f0cf0ad,21b63de1,565170a3,edee470,a4dbbabe,5f3d459a,3827c7ff)
+,S(ff3cd387,554fb3a,89142ff7,3e97fdd8,884964bb,2f457283,e45b79ae,ef1d692d,24475b62,c1ade1b0,ba36ad93,27916e19,637071c,22fb59c1,f2108fb8,d38ec5b2)
+,S(c095d24c,42b058d,c2f77e2b,463a2c7f,1ddd1dae,dd6f6111,11ba78db,26763204,d2648519,61974d6c,cf66de22,1028943d,ceccb181,ae03cd38,fb5aec22,fae54326)
+,S(5365a446,389f54dd,8279826c,e1e7df5d,b4a9699d,b8208efe,80d1eff,2d883ee,74625a49,b7856c1f,b157776c,cd79270a,2957862c,a437bfc8,75986264,401e714e)
+,S(4c073085,e96134b7,75248412,c36b3b33,77afa275,24c83369,a2477b8c,9851f15e,fed40d9f,a44f64b1,59c290e1,63d1add6,92bd2782,51de71db,e302cbfa,67e508aa)
+,S(71edf152,ab95a066,2b7e5190,8af75f38,d03d27b0,3a3b6607,4f472b7,706a3114,c3e6f145,dad44a3d,5cf056d6,2c608b4c,840608bb,aa15a101,c9bd3cca,e511741d)
+,S(1b7d41a9,3cba67ad,c145962e,7b2c6353,bfbc8eed,34eb4c27,bfc181d3,1ac0a802,b165e7e4,23c5d880,1bc3bd1,ee0c6778,50986b35,9dbad06e,aabb2f57,dbe553bf)
+,S(ce997626,cb41ab98,58f591ca,c89f7a73,bc1df836,716ee74c,45c4c781,eef4ccc9,be76f81f,a8e4b053,f63be23a,5e72ad6b,7aa359aa,e9407b60,98bdcadf,e367b167)
+,S(5b0cfa70,aeccd544,cd634d10,a2bcccdc,33e4525a,54259ba9,92c40100,698bbf2f,ec50e655,163994b6,4881369f,b3aab550,65df1a5b,dc6037a7,7c01e56,904660d2)
+,S(a03873b9,695ee82a,42b72a90,f0cdfc68,dbedbd2e,a50d5ff6,e120d811,ce8d5097,5947c8e3,56e64f71,b36fc1f7,7ecfc7f,a31c0f0b,cbb05102,775648bc,f2435758)
+,S(d6b91cc6,6dd31e59,f04c6e58,bd7448a3,fac62753,68579214,11a8b42c,66084ed1,fec7fa6d,778c0b63,e7dfd72f,ef044da0,903ccfc7,1786f0b1,85edd004,f691a0f2)
+,S(896a1313,e0a96d35,9fd42841,7790baef,a40647cc,f56264a,ac3b72df,687b5692,831d4b47,52f5fcd3,4942ca26,95dc86d8,4fe49c73,7c2bd46a,f892eef7,304117e6)
+,S(779e7400,8e564167,56795a4f,9d2021b7,94aa9689,eaa37780,8e3a6061,b5bdc04d,739ea3a9,4f38be31,df57c052,362d1872,333d2777,c6704c2,e69271d2,9f78b123)
+,S(f20988a9,3a3273a5,a015866a,c4de930e,507b5b48,cc5ba52f,a2a71e9c,185e72a5,6c861907,8fadd612,c0535163,dfa4cf39,648b59d6,4b056bb0,4e06695b,3b51213a)
+,S(7e8520e2,3151c78f,9f48bd10,5aff4087,dd90f9c4,2ac33e24,19499ab6,8e5b21aa,995827b,43c276dd,61403388,27b2fb9d,9fbb46ec,af10b65a,a8025971,608f38c9)
+,S(98f0e4b0,9e72ec0f,d80ce3ad,eab29913,fe84fa49,1786bd79,7f6832cd,7ed4dc6a,58c42bdd,7ca43579,b45df8f,b2a6db3d,41f75a3f,89dfab0e,e000383,c9e04a54)
+,S(31cf38d3,dec1162e,e75eeac6,6827aad,22fa3ee9,abfda002,b6956600,6fe596ec,ceeb4b04,fc6c31e7,7a6260ca,bdf92569,92841221,d60ca74e,81309472,8fff4442)
+,S(60766d5b,50cc4d46,a1234c92,1baeec1d,29900e23,4493f174,2f06ada3,ed9dfbea,13debdc8,9795f421,6f796a53,74b87aaa,bca4f73e,fda2ecf,7d151870,179c44a4)
+,S(1b0ebbaa,35e8ecb5,a76d9c30,ab88fa10,b211ce3,e7c2b428,117645b6,881c7895,a312adef,e1c4a34c,d9f75d10,bb2ceb29,79184181,bb955439,e317cde4,202b2f83)
+,S(b3129f71,c3438602,c9c24ee3,2f997341,26dbd76c,60cf7713,200ffb68,e486fc94,bd4beeb5,70966285,6a15002e,a25046cf,996a1cc7,9a570549,467ac179,b4f145f9)
+,S(2925ca17,662f0905,3927d40f,f2fdee1f,66cc5c13,c3587e78,fe48effc,40cc075f,6d37757e,64f0438d,7bfb3658,5df58dbe,a8ab8cdd,89871670,dbe221b7,4c416185)
+,S(8d55b85e,fce6bd0f,ff8906d1,6497d35e,4b69e701,da7845f2,aec1a049,39c9ec45,435416dd,9fd01388,b717ba9a,df574456,785cc0fa,c115dc04,8a242270,4a3c77dd)
+,S(a660a9bd,b419e19b,16823b5e,dc3fcdde,f1021b71,4debd17a,9a0619a3,aabc23c9,ef6d4bbc,e963bb1c,2edffa5c,ef70e330,bddccb4b,3b23cc52,d5b4a689,e0c76c32)
+,S(8896427f,c92bdbfd,59699ec2,222b4bbf,2198e160,94945c77,1f207bbe,4cdd6b0b,bc6081fa,abd2df26,b087acbd,a2c67c63,2eb1a8dd,6fae2454,6f3fa747,be421ff1)
+,S(47e5d9b2,3f429484,61ee9f38,2f14babb,f93e318f,32d67063,ed20e917,9894e993,bd17f8b5,6084d3f6,62facae,24e93e3e,29205f21,68903ade,4f7476a5,ba70e8b1)
+,S(ff352870,69bf1131,6f530ef3,b32a487b,3f11e6e,f8518c15,b1202a18,4e6d5487,8920338,ccf36f98,4afde38e,1a74528e,86fddfc7,8d7a6964,cad4286f,231462b6)
+,S(2a713d8f,eca88def,b5fda7f8,8de9c6cf,9b97bf0,4c070173,aa47dad9,197bae2d,5ba64900,f7d18ec6,8887bd26,d2769b0,26d22e96,1007b58c,b27b8983,a6e7adb1)
+,S(853d813d,3133ed7d,a85065a5,755ca0c5,3f32f156,154853b4,b018668c,b165ace1,fda8017,e00d20db,6ee4c0a,5790b504,afc376ad,170d74bc,1261abcd,241ea020)
+,S(d5c4dc15,37b048d8,6631fd14,7d896d6f,f403ceda,7de8883e,1ccc006b,6d9ccd99,9ea2829e,64213434,eaaaadc,43ed10b8,28e706a,5001d7df,47146058,8bffa8ed)
+,S(f649da82,d50fa298,8c598d5c,caf1e7f7,2bde2cc8,8073b55a,2e43b6e7,5d44905e,4438f4cb,d3e1938a,b461b1e7,b94d8f6a,c6e287e2,50d06da6,67aacb1c,609bb6cb)
+,S(adc3515d,4fb7776c,b1592a69,13254d7,afcb20bb,8a4d7529,7ddba70a,c35a7193,49b7bd8b,3f280916,c6024e46,afb45e6b,da5bb15f,3d3497fc,85e9a46f,acec3d80)
+,S(d78c46f2,603a00df,b45d0495,c1e2b346,963dc82b,84512cac,c2227acb,383f75ed,76b02870,2e7a3da8,79272759,1e2f81ef,54ed02f,debde8b5,38f9ff1e,4335a21f)
+,S(13904467,59e0fc27,c2a499ec,384e0906,bf293dcf,c13ca16f,d3bedfda,d320e466,5320c884,b74bcdc8,6e0c21f5,40c16f65,dc61f19e,9ec5e8ef,385fb637,ee7a3701)
+,S(93700603,543ec558,3fe48141,310b184,aa8faa04,6058467c,389c10f3,b98c42f0,8e0acf55,bfc585df,4f8cae06,131753ee,23a7bcca,68354182,61450e1d,e1a136ce)
+,S(bdcb9434,4c556618,a247c935,29c5ba74,c68f25ea,a5507148,1431c00d,6926884a,c29b7b1b,ad6ec5a8,e7046cf7,cdf99c6d,15f6a3e4,3c6ce718,9ae2acbd,531bb17a)
+,S(839ac85a,9337818a,b07b5611,f67eb16,6342c1a6,8aadefc4,6842c023,336afb08,88b30690,e79fb157,3e424c80,75bc810a,fb9d57de,5464a253,79d06222,ea656b69)
+,S(2959c32e,bcf9289,9882e003,c8a28e71,3d491402,4d24d878,ba8bed88,47b949c,ba2643c3,95fac027,6b7c55e4,d2d2f530,318665f1,ec2065d6,eaf32c05,123e04c0)
+,S(71116eb0,5def3abf,bff3e235,a0306605,b18aa465,b47167b4,4eb3486c,c442f3aa,2652a726,35be8336,f9b51607,76b3af84,26a23716,871fa64c,898520eb,822d6630)
+,S(400c1bcb,dd3e3978,3ca06e8c,2abe8b0b,9b45034,a1655cde,fb748ef4,e2a477af,1471c86c,c8b27b48,1d4c45d,1533a5c8,d46fc3cb,ea4788d6,c48dbdad,6f7670e3)
+,S(2a4abe28,5cf94456,aa92216a,dd635abe,71a7e825,712d775f,d61fdc98,a4c9288f,3c0d2483,3d6ffcad,b471d234,4ee8d07,15c09719,b18cb581,8ede730,35d89c15)
+,S(cb0113a,1832843f,7e32ce25,15b0b23b,8a803ea7,50b500b6,3fb89f6c,e7bb1884,816d7056,b775f13a,cfd94a6,f88f442e,519495a3,6e74d8f8,359a8a03,16583bda)
+,S(4d7be7ae,5c4271f6,c1adeb7f,4dac8467,beae22bf,ae00a71b,1e353be9,5ef172fd,cd7e6415,5708d20a,9fc3b0e9,85517642,f677281b,49490439,14845a36,afe6ca56)
+,S(bc285658,fd724cfe,e6ec8c7e,35f9197f,e9083bf5,439fd4d8,d9b262bb,7a3c38f3,80c10d7,59f76b4b,8330c96f,38a1af24,1d1b0db7,4e6befc4,4f085180,c1c33729)
+,S(a829ee43,221d9955,38ce8aef,e80c49ac,dc6e71f,4293750c,c0585c1,69963f04,144f6b56,d996a18e,627d4c8b,8115b2c1,c369f410,ec8924c1,73382302,3758ba33)
+,S(f5450bd7,efc9227b,e7d28ad6,75ee14df,1b2378fd,308e6c5e,68945ac9,a47d82d1,20201fb5,cba463af,cc46e6da,caac8417,63356e64,5cdcfa5d,9d810c48,272cf8e0)
+,S(7dcbdb69,46dcf79d,454095f0,b61341e4,45243bc7,c2262817,374fea5,37a1a380,bd2cee4d,c7ebc71b,46fb3bec,bd6787eb,d2be3128,703a884d,98359c5a,43875977)
+,S(f1d6c1db,cc8d33d4,fbff821c,8c788d06,2d906063,2f44a786,585a6526,20ce776a,3696a3c,8473bd07,76e77226,8cd09f96,3dbcd143,e631c32d,5d83254,ada29340)
+,S(f1688e1a,d5df4e43,67caec6,f2234534,f65aac3b,79a94ca,32a786bb,9fee4b49,efb620b8,e2164685,c9a3837b,5c6eb70d,759824,96541aed,eb80aebe,4193e34e)
+,S(b639e284,3ecffb0f,66c2819c,73787e10,527086e2,5d3da074,e037a915,e06a5813,61fde1dd,63ff304c,8ec99d4,67ffbabe,e8000637,b9856bec,344b825a,4f198407)
+,S(11a4ff89,d5e63ec8,6a0ce18,53dde8a8,875c9a9b,f563526b,cd25b830,6e3314dd,9f7ec77c,9a3f88cb,7f64b1ca,f2b5c7cb,d70d65d6,dbdba9f2,68832f3c,a2e117a4)
+,S(323db783,26abfd99,2b13d67f,3ae01415,77162203,c50322c5,7a7933e8,7d687d3a,92c8a67c,ec834653,d0f1a50e,a7834b38,631d83ec,ee38e50,33ed927f,7e14253b)
+,S(2907fe12,c8433ab6,2e6283ec,85b93342,ecf14d16,6d90cfdb,b4061968,aa35170f,160f9790,66291ed7,d51962d4,be02d85f,8a92ff8f,258a9a07,55b8a5ca,2d57c2c2)
+,S(67cef7bf,a58519cb,6c5cd8c4,f69d5cc8,84cc77a7,854a4b6e,a40b6dcd,57e43e17,e8071d35,e590dfa7,4d4f4da2,82033f1b,590b9383,70b571ac,ebb3bc11,b9b48482)
+,S(81e40522,3d4ccb14,3952867b,b8398cd4,e5ab92c5,d91066b0,d1fdeaed,55c71165,55357564,af12b507,b2e24e6a,425697b9,e6356b82,da36f111,2b5c3394,183c0d10)
+,S(4880abe1,47bcc598,a3743304,1afabe99,fc525daa,564c4b05,2aa60c27,5c814628,b6d944f1,ec69e7bf,2cdcf621,864ba76,a1df44a7,ed15ae15,290ddbe5,b91f585e)
+,S(fa2bc507,19131dc7,d5f23fe6,9e60377e,2d2f11c7,f8a9a451,82aa69e6,24eef53e,9b0f2017,5f287d80,41f58930,6cd022e5,9b63bab5,1b26abfe,1a295ac3,46a2e9fc)
+,S(aaa18fe1,25e781a8,901ac351,38d2bffa,83cf7c3c,99a4c7d8,54b30c70,c9483e8,6a8f9e1e,a40f6383,6008a0c3,596f7644,c044bf53,9700a142,ec5e3c97,c075b03c)
+,S(d473950a,8465711f,71a6f1f0,22f4bfcc,1c16ba81,4bf73c2c,1eca244a,da4999f1,6eccf9c8,aafb09df,46ca0d36,ee9028dd,1df62bdc,6ade77b8,a5d410d1,a69bc775)
+,S(d7e2b17c,f8e1895c,cf9fb163,b56f4be8,ad99133f,f00f2ce8,8ce911d3,3b8e36cc,b6557693,ed9371ce,69bf397b,56c0b566,21d38958,ebdc0b96,ca488570,1561e6bc)
+,S(3f1e73f2,a2192809,acaecea1,71d175af,683e796,e1337db2,11b6b34,8ba924f0,a593bd94,96308bb7,76b63703,bc11e30a,c5f01c17,c8b9748f,3b4c8015,56f52c3f)
+,S(4cbb68b4,27899c92,1c0d969c,94341d8d,161f3b8b,3fe4cfca,2b583a63,eb383dd2,6b3c29d4,97728ac7,b45cf7ce,ea618789,95935bea,bd146e1,6c756f61,4698b6cb)
+,S(e41b826b,52ff9bea,354af41e,3004b7b9,edd01e13,8cbd466c,ba4cbab8,d63bb4e0,75d5b642,47388aa1,51d4d8d5,2568a804,fcf66ba2,42b3f56b,dee0350d,ecc527ed)
+,S(d508dd5b,ec38f795,88bf2d9b,6bcc9f8,aa96689e,91c1381b,9f8db311,94588028,9b144547,1a2ee559,6584c927,2d779fa3,123a760d,9faeabfa,1e39d3b5,ddac2595)
+,S(5276f127,3bad7149,ee5ff022,2769dd6e,973018e2,a9948070,fdc82148,ac637de0,73f778c2,caca737f,acd3d877,14e24d83,964dd47c,f22915e6,212bfb09,8e804e21)
+,S(2e9ebbb5,9d108d21,71d28c27,32af659d,b534cd10,c5457cea,3fcef018,4d7761a,229d20ba,cbf0104f,b385621f,dfe386df,4f40c287,7d956046,60eb3923,46937bff)
+,S(ad819539,5b94bb1f,4e60ab85,932b24cf,2c79c20b,79a972bd,db1e4201,c49f1d1f,9226c45f,4d161a1a,c5c3c0ba,a0536def,3c6052a4,ec22dd24,cc803a37,b5d791a1)
+,S(f5d4baf3,93ee5acd,944b2057,78cae170,8a622f30,68d3147b,62bef05a,88fee96f,9a187396,9eeba528,9f5fca32,6bbb922,2eeff5f6,6d205a0c,78b77dea,ee17d1db)
+,S(1a0f5e1c,b2fb5d01,fbcbfddc,da83693e,9619ea60,1669c728,7710733a,e6ca778c,3074e8d1,61da2d34,38be57cc,fc437742,533e415e,5f0c888b,834a2fe5,5d4fd6bf)
+,S(a78f6f7a,110cd16f,99fbe16e,9be52782,248518d8,e621f478,2167887,f81cdae4,e3f78e8d,507f9af8,11653ab8,5f2286dc,db34d9dc,8106e9f0,57610267,411f02a0)
+,S(c53e4243,b26ebe40,a1abffdf,3c42129c,47e92cb7,32bd66c0,3d4a4290,c68b1c25,bd4f96b5,b5801b82,300b2132,2c39fd2c,65b2d084,e657ba2d,7db5df15,ab960e34)
+,S(a3a1ddc8,56957468,2e9b8a57,50bbc738,f72dc60a,1c09c95e,a6559b2a,736535e4,94887a0f,a4381d9e,dcc4faf5,1525ce98,fc43116d,29f68c99,236e4940,6842a741)
+,S(8160ee7f,738f54a0,698806b8,35ed4bca,113bb568,b23fd331,ef5f1cc2,80b6230b,382ff30b,f13f1e28,95a38af3,13fcd099,249b195c,96ac42a6,6a929fc7,a907b17b)
+,S(68552ddc,6b219554,dbabd276,e0f2a5d9,33610bcc,776bc40d,7efdc1c6,1b992e35,eee09352,c82dec92,b0ae8d8c,d6918ac6,df620dec,86a0e4ac,abfe8025,52a0ab5e)
+,S(919fef57,f308255e,1fa802cb,5acab880,c1810c62,c79a4ecf,c2251a2c,cc02ef51,cb38c163,8f7890f2,d61a980f,ed712ca8,97296366,7927ff7,39de824d,207ab566)
+,S(d7e493e2,e2c33635,ee8d22f3,76fa8de9,31ed4eb0,9771746,f48ba201,307e04d1,ff7e6d72,f712f2be,2bfffb43,2764f677,62917509,3cf6bfe5,eb5cb7ce,85c1a8b4)
+,S(6b642a8d,f4131ddf,7f31dc9f,c26b96c9,286e1f80,de2af96d,52e383d1,ffa73a41,1e55e667,5f0ee13e,76818c02,ce424d8f,48cbc930,b25dbb85,363019c5,fc29979c)
+,S(7ade4aa8,1df8c53d,1e64655f,bfe0ad88,4057e0b2,1c88bb2b,4c8d5f19,34794191,cb0e9802,fbf1027f,dd8d2167,f4f4680c,f9e18f4c,3bc3310a,c4014745,530a06fa)
+,S(6d578cb3,1ed19dc,812fd360,a367996b,91a7ba42,7d2f74c3,e2a1721d,72e1c017,4ac9ad2e,aab987ed,dc994b74,733fc710,19301e1,f691999a,5161cb15,ba11e9b4)
+,S(df95b5f7,7bb79814,21892d72,743abe4e,828a7544,f9f0e774,b1f5ada7,a054978c,4ccd011f,a966604b,32f70bd6,1a3c1515,c6d1b261,a3ce5c59,7078cc9d,f723b32)
+,S(d7392d17,1cf72e1e,ddea0be,a242edf2,c418e9eb,7dcbe1b3,aa07ae7f,a11ef08c,4b696f78,20a9ac8d,a5f52c8e,9d1a39c,bbb3d3d9,fb5b38c8,1b46bcfc,90e869ef)
+,S(f01f2aa9,82842315,98f414ae,f87c9d7b,6eaf21be,c4dddea1,3967677f,5d2a1032,7c3be753,da5485bf,13a4cd72,a9e3fbe2,28fc6a22,c502b19d,1b6f7d18,149e2b3e)
+,S(cee8f811,4b1829ab,a47e9b5a,54de7cba,1f6edfe,624f30e2,ec4979f8,3145242,4b01f7b4,cebb1125,20bb0ab2,7013af9d,11d19c4,14b0c29f,d142c7d,5b903a09)
+,S(f4215bb,973b5586,ec051388,203b1c99,cf69b555,6b1591d2,fc711842,759e9832,5d8a5ce3,ece7c011,df3d414d,e62ecd4,2d716c73,cab02e29,621307e0,658e6fe5)
+,S(e39ecc23,90c9464c,32b08759,9a44586a,da09af95,ba8a3b30,2cb015d6,4a49b18a,bd7957c6,e1feb061,f5535231,4f5c5e5e,c8245f28,4638f390,d079cffe,bd2eea7a)
+,S(9e6bbe6c,402e4cbf,e298e789,458fa9a6,68cfd407,3efb3d25,4699278,760589,989bf3f,9912b242,419c848c,f82c3fb6,8690ab05,bc23372f,eb9a850f,b4dd44ba)
+,S(67504bbf,57824cd9,8a3bd82d,34fcb59,3d20590c,a90b5652,c4ea4695,1f48905d,93ebbf6d,3678478f,56ae5a54,cde812f7,d8d40928,21b5e82,71669dd3,f0b263d3)
+,S(4e5bee50,503a28c0,9252b9bc,dd28af66,cecae127,2128e88e,fc431373,7324657d,d6891df5,3a4cdf2a,d7ab610b,817b0f60,c2502442,2e40269,a7da80dd,2672e0f3)
+,S(7481d5a5,bef3d397,533e01b3,640b0809,fd6ff946,a1e5481f,b90f0b3d,dd05c21,21ee7275,9c217d19,3999df2b,e3cddff6,fe59f26a,e570e0ae,58868441,f37e342b)
+,S(778dff4f,dd32f251,6defcd94,188f2440,26b9f789,ff4eefd5,84b2c15e,2bc61d62,996a2edc,f43e10d6,93cc2d00,c6f4506f,45be1dc5,c762fe20,3dce124e,34e320e0)
+,S(cf531271,3d65d471,929f6108,12db63ac,b1c52203,eb879ca4,a8ee9f62,774580,38e28f4c,881391e0,55fa7148,2c92c097,c842dd,74a58d6b,5753d6e1,2f773b19)
+,S(99702d01,9420286e,723625b5,62c8152a,2dd5f1a,eff84437,8a182cf4,25582031,8c4af2b2,654f1631,82d08bd6,e7f8b6ca,d5365b9e,d869fd23,e5a3c4d4,7e5990c)
+,S(68614c88,6b59c198,c49245c1,e1232cb0,b4bcce31,e0a2aa15,9fb2331d,ff1dce66,49c870bc,7ac78e22,b635c2b9,6f29e641,3b29c6ec,8ec8b3b7,8fa6597c,90180c7c)
+,S(f497a9bd,3c0e923d,5d622ab6,afeb9e8b,d9b4525f,d1f30cae,2a44d0b3,e13256b,af4d0273,e088adb0,b7de7724,b387e109,d49d20a6,eceb369c,12e07eb4,f28c9e32)
+,S(50a764f7,f5e29cba,ed7ababb,97d2ace2,22c06c65,9ce87d77,83b5bd0d,d165bbbe,4abc57c5,4c9f1d54,e73cead6,d77a85a0,8be25ba0,ce96b8a5,1b4fb460,5eca949c)
+,S(fccfe1e1,e312e6a3,92e83cb,97274576,56415255,b127ad54,432c93cf,4ae29bc0,e681795f,d8340902,da0018a0,dbb8a424,870e4bcf,7de95f0e,b2c7e98f,47a46c58)
+,S(66de61ba,48c1fd44,80d5c78c,3f06c3e2,45ecaf25,e4c235d5,8408c90,e1b62ed1,bf3bf086,a90221ba,711819d0,d80194c,c45177e2,57b1408e,7e649f15,a92aa6a0)
+,S(4373e7ff,e3995503,97bdee9,c9d3d70b,39f47446,45fd3c1,63b2012d,58e148d6,440a1376,16096124,42c7bff3,5f9a8aa2,3ac64e8b,bd5ca839,bd3c5a39,b84e6fe)
+,S(c8774ea8,7d83fc06,c36ab357,b1fa76b6,c647cc9c,ebf2e125,3f3ab303,9306ef1d,ccbde78d,2e4d2c0d,ace4e660,efdc4d1f,a1dbb44,4cabb0df,bfe29de3,191f7249)
+,S(748cb6cd,c57d89d7,8842fae7,731b1e28,3b59ed18,cb761c88,a4d2e4c1,c3359fc,62f5b6c4,11c72d4d,a412148b,8b038b32,8f98aecf,ece537a7,237b9f87,646b9a3b)
+,S(35a83610,30fc10f3,53d2fdbf,cf67655a,91b86555,cd3d9eba,f962996f,ecf55cbf,6fd79f5c,df8093db,5c7f3a94,52dbe6ae,bd1ca410,199deb04,761ffffc,77ec9fec)
+,S(cd05bbae,d0a8d78a,2e05e9d4,1c33cbd2,8d59d384,75d42389,43f9cc35,3a8a30c7,9f7336dc,8e77fd55,bd0b9e8f,23eedf1f,d0c16f69,921994db,dc2588dd,ff72a8f8)
+,S(da3fe760,2547c831,2d4f515a,5ce530be,29379325,41c6de36,364c4b5d,ead43c58,df60bf1a,d2fca43f,6d482df4,61fc180e,5e3cf692,995bf8c1,7d32a263,730b3ddd)
+,S(bbd7996c,25ba5c24,a14742a9,745dd2,8c18a598,8279581b,f8b5958a,8092051,896a39f1,310be1c5,9de4b86c,7c9bde10,8035ba39,864a45a3,69573d16,4afbc2d)
+,S(bf7c20dd,64ba5f51,2a996bd,428fdbaa,df1853fb,f814e6c7,a415fb64,a3e16070,afaec0ea,2b18c89,93a1a565,f3db58dc,748df9eb,4d9f8a04,a18cdc23,4710d5c6)
+,S(919d0aa8,10928129,cad99b09,85bea5ba,7d4ea114,9f9d5d65,2b6c0e0f,20464903,60d9352b,d053b01c,83caa121,63e8c9a3,e2153cbf,b335943,7a2a788b,7aa02dfb)
+,S(5e7c2a9c,6ab8251e,8f8749ab,e0ef107c,aee593e1,a8632a6e,1e0e0c4e,d3cace9c,74186f42,6f03f806,36d79258,e9edf593,6e21e0b2,d882d933,c0241ae9,7d761582)
+,S(2815184d,af1e838d,86d63a32,db5339df,24731743,aee62add,21e3a6c2,c2b0b1c0,2a4951e8,3ec61221,b1035c6b,a7d2cbed,f6ef93e8,cff69e01,295e09d9,20e05919)
+,S(e3086e36,91432a20,8602458a,87d82955,c8920ca9,fe1c079,3eed878b,282ec3b0,13db4219,50388269,cd591c5c,d8e07ba1,b532f01b,485829e2,aae4f55,f05e4362)
+,S(8264d534,2db3261c,d7e294c6,eba040f5,461fb9e7,e3fa13fb,dfcec29c,20f2fa7c,4dc311ff,10b92db6,b67f47ad,86fd74be,24e3dbe0,d6a74842,92f35d9f,6e95eac1)
+,S(9edbed6,3c4b66ce,a8c2ac6d,89622d61,6838e1fd,9b93c363,c2bde528,a629b2b,c1706a02,5b1f9419,2dde89fc,63ae2a81,ea015ab2,964beb58,d5ca7ffe,84266644)
+,S(68006753,672e9ae0,79fcdee7,9814a904,80c170a7,f644302d,e5de7982,7684e12e,fc1209de,88ca7c3a,614252e3,153df13a,6d0e8db0,4c82d83a,fcbe65a4,5c084398)
+,S(acdfba80,9e519114,a11b1634,1835d7e4,5b93a6d4,7094846a,e1ecec00,18bc4531,a4e57d02,51511f2e,5b729309,4c50ebef,4f8d3cb0,d930ff48,20d0623b,d636d664)
+,S(978304cb,e99eb899,5ef43f94,c67c471d,6d42ec19,f83f9323,3a44b9f2,e2d13896,ab26782d,2c1dbf16,a90f90c,8e49d250,1e1172f1,3e1bd20a,3deba979,85fcb110)
+,S(8c8b561f,9c857510,88478c03,866b347f,46e06801,82482343,923d7e27,c67f49e8,e7908d27,79cc5b19,dd00f2f0,4ab52474,5c35cd6d,4b85932c,99614fdc,64048cc4)
+,S(d4a7ebc1,987b1abb,5d02e598,190f73a,36d1176,d7f0f7a8,cb9491c1,b86a3c55,4f321dec,9c1832e3,b0d0c974,798834ab,6a410bfb,398ebf58,177f39a2,22ba4e50)
+,S(14bbfb6e,7910f522,69e544f2,ad3175d2,3a36b7aa,8209c24d,1fbb4277,9508c261,d16147c7,2a1df442,d8e831e5,aecd54c6,8bc3f225,4d0f51e4,9a375053,73e8d08)
+,S(d24ad71e,81de43d5,7096e101,6bd4d99a,46e52e56,782d99ee,838217a0,dfea0f5b,ae574f68,e07cead9,f214976,67a18c2f,fbbcbddf,2bfb6c95,3b7ba673,7d08903b)
+,S(ac96889a,f0b46b7,6896b763,8e1a13f3,dd24459e,8601f892,c3367c7d,8b52931a,b68a8631,8672c378,d99b0b20,44b06190,876ab100,eadb12e6,c16c2ba7,c1ee2381)
+,S(36b4da52,4f4ad5da,d7396445,1e79bd5c,20973df0,efa82bb2,da4bf68c,55afeeb7,5cb7598b,576f0db4,db1093c5,e6c9723c,f493bb91,450a0017,9f79c8e9,92dd6136)
+,S(98c7bc3a,7054f928,d062ae65,b4140dd6,293f2fb6,cd16fbba,e00d39d0,b11befd2,82d134ac,3e614e4e,62b1b475,bbb5fd80,a5e6d3e4,e4572dc5,7cb666c9,a06131da)
+,S(95bb18cd,991cdf72,1c627d62,aee4655e,aaed0b6a,b1e64537,fa89a0ac,f60b4a52,c37e37ee,5b87a5a5,e61824a3,ea519f03,dc3b0a77,f755485,d337ac79,f1f9e8c9)
+,S(41e45ca2,b88a4679,6df9106b,c8b53180,81674c34,9646545,e5ad9b6d,e5f6cdc6,151ba666,b0fdb7a7,18110f62,83e3cb8f,8e40fb8b,fa1a1854,75958a3b,ec10d197)
+,S(32d15f16,dda923d5,c2f1bf5c,9c003b33,b77d2450,95e5ad31,2ec62956,ae092805,58d64c72,96ba6976,d61774f,f37a0d1,6316cd19,3ac0d930,bdcf4924,cd904095)
+,S(41c4e029,817de516,8dc04b2a,9bde3850,7ae48602,dab08db0,3272c694,6cf099eb,303738a8,7b888601,2f9e2053,5bb8b610,92f6222e,96968afb,98940d85,98181458)
+,S(28b8ccf,b14a86a1,84fc3c3c,a6a7dbd8,763415,91a67d8b,4109f026,1dd964c5,899f98fd,5e0c59be,69150d8c,5a917d6e,864fa15c,63072769,f75f6353,8cb276e6)
+,S(f2776367,762d6468,c9cc0e38,d3921813,16dd394c,eaeea519,786b4353,a5044586,1a873421,1b170183,a117e420,c41d2725,84acf219,a415778a,4eb0c34b,bee9a68c)
+,S(7a1a5f53,6e96ee57,e10b1337,6bb1e895,d0703c6,5adfa4bd,f24937da,98bd7144,860921d5,67fbdd1f,11aa3ced,103453af,8c3f5037,b92ff10b,ee70ddc,e4323206)
+,S(d82e79dc,5d6de6ff,8863e039,60401bd1,610500f1,57fd2b41,f20689d8,889c3f76,f1947dc2,ca625df3,af5ec97d,32e62c09,2139d108,948795ba,5cb164b9,351bbf34)
+,S(6a2e184c,23ee235f,93f036c4,3875db01,22416a6d,26ef54bd,85a2b465,defd0351,6c44297d,724eb2d3,2f58a197,2f52a7ad,ee49d30f,c8f8424d,7f26c6e1,73dc6868)
+,S(ea0d5281,bd1417c7,2dbedbd4,dff37c49,bf143417,d2a40dc2,573b4b3b,2ccddcde,c7a35ef7,685faf18,c5a4cfcb,2eca27b7,46b21d65,ed71aae9,15185cc2,6d2b54ee)
+,S(d5432c9f,8ed0b4a4,c3e42dd8,28098f13,11d2cdf3,94672331,51fddbf2,a6030974,1e047ebb,8cc01a43,2ee6ea04,578513aa,17ad2bef,7fc7653e,936b2d22,bf8f6c3)
+,S(c99ee053,655c9d53,1fdd2298,3cc03756,299f47bb,5e1d0a4,d7b861fa,c3b5e332,61c5187e,4e12f8fc,617a5fd8,746f28c3,368b6b19,1189172d,8c56e2f4,679f6b7a)
+,S(f41ee431,170be2d7,fd488c3f,5f21f3f3,aae5e501,1a3c4ebe,d0f6db8f,63e11e55,f767b289,118391c4,4d27c1e0,76b7c70d,110cb938,e9c5c62f,1af200ad,7e9976cc)
+,S(505a65a4,29388bcd,55561f5e,fb3090b2,2d553bac,2f8cee97,6c0685da,40006e41,c72c9e86,6b4de925,3d463d7,e7bcf7d3,d6e7c351,1fe6c4b4,7fc436f6,d793e0ae)
+,S(ca34be0d,48bc2931,cabe71d7,9cd2bc23,ffa928a,5d532d67,f3665acd,375dc01e,263008ca,4dcf002f,8fdd580a,65701694,bf4530e8,baa0438d,b77ec246,75b4db4c)
+,S(d52c25e,9a76600,b16dfa93,cf9c2df3,38c806a7,d8cff18a,1d262662,5fed6d7,80309810,6055c3a4,d5d1e5ac,945aa815,bb8ca3ed,10b5d54f,156e4336,39c4ac77)
+,S(83e43bbe,62e39426,a0a74ef3,831cb4d2,776d7ea3,d5a2d57a,8280bae6,ae0bd8d7,a1c2c1b4,ea1140c8,cb4ec2a6,98a3f727,666eaf81,1ae9b89a,9e09db39,d1a257d2)
+,S(12326a97,ad8dbe89,3181d76c,6d7507e2,74d62cca,1f0a3517,30e9ddd7,198de84f,79e7823e,7cfa4df0,bb31e9dc,ac415297,edc6e061,4fca2f18,1ac7fd46,d27fff48)
+,S(1ad3375e,c82aa917,88bd787c,37fef8a0,2071509e,aef62e8a,dd5c5e4c,b096cea4,f9f9f10e,efc1fa79,454c6d55,b894d65b,ff5c445b,f4e9e46b,8c82a4c2,a94d5a71)
+,S(8e8bf9c3,a752258c,278bcf19,7aeebae6,fcc198f9,2310b13d,d114c1a7,d10fd2c9,e2f41d5,b7d94378,5f61f572,763e6e88,df7b321e,9baf0445,482d9f22,f1160195)
+,S(c44cd33a,144e2926,b7ebfb93,d7d9ab56,3888f6d2,694efbbf,a5665e10,f6e0ff7,c2d4afed,f77c22d2,88f9cf38,a057df90,baae8ca3,1e074d11,bb8f89f4,e9e1bf4b)
+,S(b960f0cc,bd7d3431,4138accd,aadc2efa,d5b60071,7c69f1c5,92900a40,ea68b24a,e0cbda14,801794eb,19401935,3f8ab80a,f525b8eb,2b64e5ee,62afaa5a,da4680b1)
+,S(f7104560,8fe120fe,5d036260,5bc3de58,76e24b6,20684413,a440cf56,6520559b,2e208f0f,fea3f78a,9a283f9a,6b601ce,db4df4b,b2fda7b6,306dc8b7,3d514f35)
+,S(83a31aa2,cb10fc14,ca8cb2cd,b21cc163,41cc9862,67a5f1cb,75f3f90e,1a92c59c,be18918,400a6e32,b4fa3469,ea6e3613,251ceabb,29cbbfaf,2c16af07,fc5413ac)
+,S(3d7b800f,8802e521,341f83a5,efdb355a,b60669d0,adc15531,72c62097,8106f6ab,f9b179a3,aae98427,e02d4f00,89b3cee7,250e30e5,ed72d59c,198d5ae7,1d639e72)
+,S(7bef4e27,9064400c,48d4f27a,a754deaf,8af74b10,d5dfc497,98c38216,803f50e8,bab0d71f,d02c67e6,b274693f,6a4f402f,831aa4a3,5fd83014,fb07c5c2,e62d561d)
+,S(e6b2c83f,2a6ea201,f56a024c,482a8076,2f2053b4,2e4d2901,4a5178d2,3361bcc,75d1f7b5,209cafe4,f98e63ac,53052a40,487b3390,e4ab73eb,ac63acb5,cc3dc88c)
+,S(eb4f3b95,f12c16a8,e5e13446,d9b8ca7e,92c56bdf,565aa4f9,bc1c47af,914fd145,e3776908,e3f3228b,ba0c0523,7eaf1963,1835797b,ffd7eff5,61b30fb3,9fcd6307)
+,S(e2926c0a,858b9732,82c1b34b,4c4ba4b0,3099797d,d29c5fb7,4447f28d,ff962e54,2730f3b,e59e862b,37ac50,e5375d08,920cb62,b87ee8d2,f5ec9975,886359e2)
+,S(8bf4efd6,c11d7251,b06a5e08,99ff2e80,349f8022,387f3200,6d9de060,bfbf3f68,5514395,457848e,a79ba6c4,39a7c151,b497751a,a4a1784f,114686e,e351afb)
+,S(4ea97c1b,920d2ec5,3c2182ce,d6f7e1f3,df49e673,1a14ecd7,d67aba0f,fd077c78,5e958afc,d3894757,e0aa89ed,ba26e035,f06e4b11,da13675e,29d382c7,b21fa9e)
+,S(1b12e81,3c7c19be,18576f93,69d938f4,bc81bbfd,7e9eb443,cf2b9ef2,b8e2b3ee,47220a1f,718c36af,8eb8a9e7,ecee3899,ddc49127,91421438,8760d6d1,699a5ad1)
+,S(7c6c144d,4f839904,ba40fba8,b739913,54f40bf0,f5810329,c4e3b961,ee6a101d,6eebb976,3ceae5f4,f1ef2473,a50b795b,a6375c72,df67d15,f310b5ca,9706b5eb)
+,S(ec637ec6,bea71803,2bae7631,9227ae58,9581d3a7,131323ec,35f0d9fa,27a3e285,c12b830f,f273fe72,4f3bfdef,4279ce4a,8ae6d0a6,de5cbad2,b0a7b4ab,643c79db)
+,S(33c8d6fc,d2b37103,2426910,6b9adb76,6c76f788,9627a9,6807572,e0af0f84,b3f01db0,7ed82f45,252d494c,af735e6d,3934ff78,c89c57e6,6c42a663,e5d6a792)
+,S(35ee32e5,f7204f0d,d48b1a80,cea0a418,1d71205e,c373827b,2afc25eb,e3ab7e20,d57bc815,684adacc,756291c6,87d0eab1,63067976,a7c3a2a1,98ef1d8e,bad12935)
+,S(97362395,200d807e,623826e8,3bdfa37b,e98793fd,6d7057f6,370720b7,5089a6b0,c908e9de,cd1d54a,172973b9,1706fc6c,c3367d75,2216c2d8,1085dffa,5627f06b)
+,S(bd37e01,eb944b32,b379b195,16256ad7,4061760e,4eb44361,5e8e5fd4,34eae9a,dadb545e,2a613e54,6067cb6c,179fbdf6,d94b7b8b,c799adef,391b2957,2b93f57)
+,S(b332b57a,4f070d20,35986e86,d82cc6f,7180293,53bd360f,d3f883fd,68e9c5ef,eebd3a05,933526ab,ba9e63f8,cb24ffa8,550e50d6,8cc7a4bf,215c551,ab89832b)
+,S(fe5bf27f,9459e640,7489bb32,2012d1d1,69d40635,74dc05bd,6bdd6c38,cffb61a3,72c6318a,3775b8fc,5c790d6e,31bbfddc,7ee07a71,93e5f137,e3c3e098,bae25da9)
+,S(f27cbe27,ed93086b,517c5859,9929310c,ad0e05fd,482f1fc3,af041852,c63a2a23,cce74e61,4e14bd09,8f11674f,23e30be6,b3276f4c,f85dedea,b3cbfa49,5a716e4)
+,S(b328535,1a1b22cc,51b7a590,3582dc27,518bbfa7,410dc36c,e63da663,daa8693a,1b260487,7d3ad6e3,db75a0b5,d6b89df,df507809,c203b4c4,cb0712ce,ae2e3d2f)
+,S(bb47bb09,70dae4b5,4f4c3aa4,ad4c966,ae42691e,ae39f1ea,a6711d6b,5f04b81e,2edfe19b,b52b7b0,2b4cf349,aeeeab0f,67524375,7f35b6e7,b920d343,e71561d2)
+,S(fb6c9735,d4333142,5bf6ad83,50c7241d,b82e35a2,9cbafa37,d822304a,c1b3dd02,946a7ec7,1e0e6dd,a4d4c315,2a6e7489,8671dcb6,8a219781,3e2491a7,6a9e3357)
+,S(c711f224,40cb6e74,a60509ec,23daa2d9,fbca44aa,9a093475,524e31e5,43575a3b,e4259800,352d0d79,c5e22d3e,2bf59f4d,e4b42484,68d15c47,ab5a9cbf,854294b2)
+,S(9c748d45,a07e141c,639ef97e,8887ccc3,aa84bdc,ca0618ff,4f43b1bc,7496c83f,3dab775e,c3001657,e71a9d46,bf8cc120,9a74b9d5,1025f97c,4dbb9457,e932b5b4)
+,S(9d5e6479,81a9278,6db60938,4a462621,23070938,d50e1bed,8df9474d,bee12513,30f2517c,6ff04eb8,9a6ef21,e4ff33b8,e14567ef,e38871bd,b9dba6d5,584c8b0e)
+,S(4d24d6e8,91644ed6,ac1aa619,f9eb2b58,a9932c5b,3e8c82cb,589694d0,14b1d472,6ef1a21a,9dcba4d6,850e6593,3ee1a259,91203278,2f478fae,cda13d6e,5abdab22)
+,S(fa226c4,36b389c4,50143041,da93c906,70258092,a8de85cb,d20a0dcd,284bc808,524d2992,655c77bb,59258257,5db3d663,a7a345f2,85572ff6,e9dd1dd3,21bebf6a)
+,S(d4e659a8,e9af7543,2d9ec769,5dda0371,7bd79ff1,9ba73f07,ad0bf13a,45ad3b77,5f4a2de8,db9814f9,9b73ec63,6c77f847,1aa48356,ff67c8f8,3f0b6aaf,1ac7ba9e)
+,S(157b6da0,1556b23f,b6c46b06,145727c0,21d6e573,782bcded,d594ae46,598df23,737d45d5,2c247718,e720fed0,56352768,ce111425,72730890,5a84a545,c53c560b)
+,S(d97a6087,19c8572a,78b73938,5479e4bc,9a2b249e,a4f064a4,550ce127,fc4bd45e,f11e233a,75ba1651,144368b9,55bd4dd0,f4ba1f2d,2d0bce2e,82315e5b,78e0d76e)
+,S(d2fdeec2,9b5f4ef6,374c2b87,57e4867b,d2e036d8,964a2ae,15632ca4,6f79a294,2d2c1502,a935f5b5,960abbda,9db42aea,c9f58f0a,bfaccddd,f8d59881,e2953872)
+,S(fbc6a2b1,b3c0b039,9abc55fa,835bbeba,b0461db,41f3d9f3,160d0154,72861b3d,54421d5e,a5ed3abe,f22df1a7,26a2b5da,a298b41d,acc69bd5,a72952a2,13f928c4)
+,S(7ac224b,cf7efd8d,b214db6,a6601d51,829d57d7,28c4c3cc,398ba57f,5079bf99,edf12fdb,9e281367,5e7df40b,1cc3c572,55213edd,c0fa07b,4e3f750d,36d6935c)
+,S(f2bc4452,4af39f04,afb480c2,f7addb57,a04db86c,3691b26a,922b6ce5,a1724d9a,63c372e2,4a659127,ace8f54d,33969635,1d890dbf,7e2a31c4,251352ed,53c3a0bf)
+,S(5ac48ffd,bf27b452,ca37dbdf,83f2fe6d,8f704040,f3a56180,ab991228,a74ad88c,c7ccab4a,e859e7bd,982310ff,2b7eb408,678b6f21,f52ebea8,41021f3d,fab6f091)
+,S(daa3d659,a4defb4d,3291a16a,d669a43e,b6891e90,dbe0147f,568b650d,1213750a,af36d811,9ce1ff85,5dd637a3,bd475b10,50216093,aedf5f24,2c98da62,29bdcdbf)
+,S(381d3791,30d4beaf,aed138d1,4072bbcc,b8d71d6,dbb13226,ff168f64,3bf55d37,fbfd7b62,3ce32a4,4335682c,d5ccd4b4,aa4430ce,d8fe3d34,9582bba,fedaf9c)
+,S(757c7b23,ff6b6ecc,51ac84e6,26ed70ce,4e6e5c74,e4b65f3c,fd17c304,e19b1ccf,56848ab7,f814a047,2bd286f6,b386af5d,34b27c4e,a3ece71,f153dcc7,7e4027b8)
+,S(ea498d11,ca35804c,d6103185,ae468bec,6c2f4f6d,ab025173,b1de4027,551b913,ee939bff,8d30bf5,9e3341e3,58acab90,17de8fb6,e2977847,f4322ceb,ca8829c6)
+,S(9d119046,59ea5dff,30105d1b,5ee3f8dc,c9291bef,15844057,66e07d44,72ee1418,45355041,4d4715d,e8c087d4,f05b5f8b,a424ac3,49b3ceba,bf806b9c,e657e139)
+,S(97bce776,90f8790f,e7d82b68,b7dc1b38,f3baded3,f7c67655,1894fc4f,cd1b834c,fcc18c2b,4f743ca0,e00f4b34,509fc237,c030b689,83451d5f,e7407b81,ed04f7b4)
+,S(5339f056,abeb4926,f46dce7,3b8d735e,c6e9c4a3,2057c22a,49c86400,f15d7ed9,5be6a0b9,37e26dd9,f6db74a7,74fa10d2,cbae30f6,bdfafb,dfa2922c,58a8e37e)
+,S(27f22d01,4dc5d3,162f39c9,7de3ef62,f2275b5e,cc6d5e32,6ab064ad,f762a446,6aebbb58,d671179,d712926e,d56cd280,8393fd85,dee45558,300a0f8a,a2986f09)
+,S(94af2fff,61741cf2,5f158308,e7333e3f,678bf1ee,56adfd56,629312e2,2435f9d5,33a7269,79df6672,b13198f7,e674330,806f2dd9,50d8e82,1774f381,d9ec24d6)
+,S(ae8a0e18,486273a5,36d526ee,3974031f,f3ed095b,a6835a68,2e943dc7,e19b37e4,23c2a51f,69df1826,9b21413e,505c0785,576fbc84,acbb2812,fda146c7,f5e8c8c)
+,S(623fb527,d3d99023,9f720cbc,64478e0e,a0b84b28,5c0c3f3f,107b3e3d,7dc430aa,3ea48a8,d1eb543e,ade4a55a,f909e62,14e47d26,9471dbf,4d98a3e0,39c72849)
+,S(1ff42295,d85e98be,f7aa84c4,47ec854,29f01b4e,c87371f2,b2025ba7,1e31a768,d9500f9,6e8c697,7ecc51d5,7bb7dfd1,3cc97017,58bb4196,b0b11d1b,3c24937)
+,S(bc808b0b,67bedaeb,2e7a4bc0,d328efbb,1ff35dc3,b51716ca,3e501a3f,956aed3f,6af0de4b,26a6378e,6d86378d,d1f54243,929c37ee,d5c10bbd,86b80c3,ead8e545)
+,S(e8ab92e0,17a9e956,354203b5,5d7b15fb,acc666a2,79158016,33a91865,b5bb46af,3e87cbd3,66926e66,3f5faa,426a9db9,811a9db4,de3a4bd8,79073b7f,c1e3197e)
+,S(a7bf0061,c383040b,6e89ba95,b57102ae,2c291ad6,72bb5027,3c27fcd,f90613ec,79ac8ff2,4bbc79cf,431f4159,4852ad4e,2f0a9f86,ca72ac11,9d4e3fdf,8746539f)
+,S(6841bcc7,22b705e2,759ba4e6,83d6b83a,19ee6b4a,375b38f4,5722474c,ca41894c,dac48021,5c168519,d147a966,451dd63,7838d236,5667803e,80658faa,1029a7e)
+,S(d67e6d5e,a1606817,512f1db3,9033829f,69089a41,902189c5,20f0202b,8511479f,9cb4a747,7224f93a,8447152a,9fdf4c92,36a1b698,2e9196b5,a4355715,b9fd6ee9)
+,S(61b3a7a0,53c477b9,e03d0a96,8ba38de0,b02e42df,162a13fe,8ad538c2,840eed06,94c07520,fa19457e,8d98fdbd,d9a9bf93,57642cd8,1b48fa58,b4b14a89,cb6142ce)
+,S(cbd26d0e,a00f7dd,4b0b26ba,7358b2c7,587e233c,3a13c86a,d5022ecf,c865e4ba,50e832c9,d84ff55b,7ba79035,559bc889,53700622,59dec3cd,8b3eda3f,1f2b6e67)
+,S(17a6f57e,d3d729d,c5ec018e,1b69394b,1ed78e59,6c7a5e31,bfe5dc43,f9c67e56,34f16cdb,c23e46e6,bda5db2,7538d7e1,f66751de,3eb05543,96c66a54,36bdfe9b)
+,S(eaeb62d,93fa13e1,ff9d9a4,9eda40ce,dd6006e5,ced0e8b8,c02f7ab9,98f06f31,7e225365,b4b39204,b01c8890,4476c141,1c166f75,1726718,8ad917c4,9a719ad3)
+,S(d09999b6,c35d5d71,55605a17,e7f82d3c,dd8d68ce,9be252e6,99493031,a39c7487,9165e761,8dfec3d7,cf733fcc,e548f672,362637aa,8687f47c,b1eb5c18,a780b061)
+,S(2b4cf8d,7fb166d8,a6931bce,e67f580,870c61c7,635632a0,71166fc7,4a11c693,7974e2d5,164771d5,2e7a121e,2b015565,b3a874d,d6313721,ec69d3aa,b44d473e)
+,S(d5c0045f,a411cdea,470d85a6,66aafa44,49ed682f,a1903c5b,c9594d19,5cbebea6,ffeebc77,5b24e736,8a8b46a3,64837466,85df5c8c,b40bf2b2,291f370e,94c6eca4)
+,S(1eed08dd,d9569712,6c0a4039,c6aa5ae5,ab4aabe2,a88142c3,b9aa763c,632b5e38,d180547e,c4640035,ca86d925,10a70a64,5dcbf2b5,d3add4b0,3f6d0fba,5f4c2f8a)
+,S(9591b04e,3de43104,3a6982e1,29a2e79f,f525888,846689f0,44e50b18,ce14413e,cc4cc696,73279c51,4aa4fd63,474050b1,930e627e,a1bd9d55,867d700e,fccf8155)
+,S(690a17c1,b2dc7ff,520aecaa,380b19d6,d4a28669,83dc5df5,8ab2bfb7,6c7b0600,bdd8a858,e2d989ca,79fbfd46,60ffdc0b,e0231562,711b13d3,47cfd37b,7a53d4d)
+,S(800a632a,aca6b505,f9fddc22,14efe53e,4e7ad2a1,a6c07d90,27d8109d,893851ab,bf242683,e0c1a24c,9220c6ab,deae8baa,12c6203c,a0080856,bc5e5ac6,4c3f3261)
+,S(6dceb824,c48159d8,57a92334,4c72b4e5,cf2005c5,6fadedaf,5a8b780d,3ceeeab7,e6b961f7,6162ab6a,d44f3fb4,5aefc843,bf0d714a,1a50d13c,68036f42,30a1ad10)
+,S(3ef5eff1,2b76432c,4bdfd1f8,23bdfdee,f60b5d0f,5d0b4051,2a3e22bb,665f2b0,8741e43e,9f78066e,d57d317b,d50252fb,11d8d235,3c2c9d57,76191c21,8798b0a9)
+,S(4ce8d33f,a53f2e1d,aa696e9a,2de694df,2192db5f,8e6fe88e,b5d51340,83791c17,a023ff40,69587bb9,49ebb15a,d047f141,9985b521,ae915f54,bebc6dbf,5320558f)
+,S(da030efd,a3f6363,926abcd1,182f183c,43c4a6d8,8bcb0519,3d137827,6dcd3fbe,c14f27d3,2251248e,3c4b8613,481e7c48,f1493b6e,5c0716c7,8d5e3b97,876ccf3a)
+,S(65c12034,87b729bc,3709759d,beabdd79,ee7f50d7,ed2cedfe,f2c2b7e9,97192f40,f440d69e,d59adfbe,e087ef70,9b75b95d,13ac0e06,20683d3c,6d49762,ddf68a01)
+,S(82c052fd,dbd6aceb,1f429f21,eed34d44,f915e949,7190aa6a,d487bd6e,68d91c20,90dfd944,c7c20ec4,4ce35d2d,4036eb97,894f5b93,6bef62a0,f2f65082,b0f7678d)
+,S(43e2f20e,cab47065,e71abd8b,aa511163,e17e3efd,3e17d790,ba924de5,ab402255,6b1ff657,e37b65e0,bf2c5e60,47e36c8a,2b7ba965,79bdc711,c3ae5935,d2c47bed)
+,S(27f177cc,6722e5a7,70200e2e,a9198bb9,f227251f,8efa1988,ac7342b0,985a3853,a76767a5,3743db5a,1062ccb,64452ad1,606d5065,9df8c0a5,64f049f7,764d6a99)
+,S(6b1ce20d,d15cf54e,59aec7fa,c1919791,c40c926c,55801801,75c09ac0,dcce0147,c90a76f2,627d2510,8b89df25,23f069a3,6b102201,c2fb7e9c,932ae678,4a28906e)
+,S(f9df6109,27b5ff70,d55d2a46,ebc6a734,df165bab,3bd27398,24a60727,5410f62b,4da454cf,7a381056,581fb115,d36161a4,4beeef74,26724d,d4f5500e,3a6c1612)
+,S(16bd87e8,2f87778f,6b3f1da1,a04bc048,3b14de01,420b0074,81aab07d,ad806cbd,13a50b5d,886047b7,6898c85d,cd1bfb4,87642f95,8304d54d,12c03b25,9429170b)
+,S(f35175c6,2244f0c3,ddb104fa,3ae57557,424c2d0e,f6a20246,e2fa48d3,2908dae7,dfc1ef36,8ffb4e8,2076ae27,7788444b,33880ee5,b6d5bd0a,9a2ba79f,30c4d1ff)
+,S(6a9ec43a,b8a6cb70,465ba668,5e15fe2f,9e714c0e,31f1f227,186d95ad,2faeccd9,ee752bfe,4da4feb5,e4c0266a,57929e56,62483704,6e927e73,9edec593,8d538708)
+,S(92e3b0b1,3df6dea4,371601ba,3d92f507,2388a23e,302edf74,6da973b4,613d2292,9442966a,dff82878,f6e0b8d9,9e56f99c,68eea310,79b365cc,5f057eed,ec38496a)
+,S(35427db7,f03afb34,d13ba232,420e5d9c,4a8d16c7,924a2043,a217fbd,4287230b,5cfc1908,108fa47c,95ff8e02,634351d2,523dd990,aee1700c,7cda57c1,b106a734)
+,S(a61be939,d3a33b8f,65b8fb5b,897598a7,ee25e71,5797014c,fdb087f1,90895825,fa6b7a9c,f2a4a71a,857bb126,44fdcf27,c9f4ccf2,7bf6a0d0,dcf8179e,af1a3396)
+,S(659868b8,2a9422d7,1da877f8,59956376,b999dc3a,657278f0,89e1b7,a3014222,9ecb6c01,fb97f691,92402a76,13f7932,d8a82252,e6b97c66,5c727d9d,e6b2ac62)
+,S(12667366,d27bbe3a,d75f00c7,b28fcf20,86e9caf6,e8b5615e,eee0f180,526602ec,dbac0f9c,32895bf1,21c90190,d5bfea81,84289a4f,a0cf498c,3a3084db,1d4a833f)
+,S(74af3ac2,60461898,c502229a,8eb4e7e0,962c8f38,897e43f,6e421ca3,3240b7db,72f03ec2,7c24abdc,dbc9af25,41e10f51,5e470c7b,19ab9680,24eecce0,954c84cb)
+,S(9aefb23,d88c5745,da9606e7,ce81d4f4,5a39c8d0,4f5d5f07,62653594,d3a34732,f797796e,5c1c0a56,9886af6b,fd8a8299,29ae1897,ca43314b,cb6ed78c,6c0b0572)
+,S(93a3da8b,1f686078,1849ca06,24c2cec1,796f64f8,4f46da9d,34766eb9,dfc1f018,e5c50d0,fe7d2f53,fe1053a2,985d2b15,25125981,30de3cce,2ebf300b,4b944c0)
+,S(ed8d18c3,f526a062,bd6095cc,249b7d10,ee09d072,435218be,f2ab6c90,c5ed66a6,42084909,f4bfb751,5ec6da47,2cba7678,7870a9fd,bfc86fba,669e31ff,233a72a2)
+,S(dba838ae,b57fad4a,6ecfae8a,acb50123,decb0f60,b702a9cf,7af7d78d,814845df,c3213cec,8f225c2b,fc02519f,dce1f67,5ad59b20,91381f0e,feef93b0,3c6536b8)
+,S(f1a033b8,64caff57,21857094,e1038fec,7879765a,3b977a4a,c6616162,68c1d8fe,9592b8b9,e4cc6a7,ce173980,e68fc405,88a83788,a08c6027,8623ef61,ba81b652)
+,S(53967cf9,7058ad43,1222e9a,46caeba2,d8fa447a,6b0295ab,f40b8aa1,af1f0097,e8e86c76,cef5299a,9a15a6d3,4985411f,2a71b8fc,99f7a76e,230052fd,d5309017)
+,S(2477d3a2,bc3fd88,6daba319,8c6fa6c9,5206bc1e,955e9d4a,c6e5916e,5883eae3,baddd174,ce70e285,1e7ed788,cb81cb7a,3402276e,d94e6e72,f20789bc,ec4f5257)
+,S(b483c05e,22824454,52f44e9e,287bc21a,634018f7,babd1252,d7a6bc70,24d9cdc7,5d7cd9d,23ad04b3,3a7ccdb0,38676342,5b2338bf,48d4f910,853e9100,e1f3aadb)
+,S(6ae41ce9,6c8f0a33,674f74a4,587db25f,7c368fa8,83abe414,a3f6bf13,840d46f8,d52f2dc7,d4fd791b,36e6448f,5c8f746,759e68ba,994de0d6,48c6b1b3,58476871)
+,S(bd1a4d61,e19ce013,d06740be,c3ad88fe,bc3b2391,45563be4,41768f01,45f4c450,88c18e77,c5313848,bd19bf27,374deffb,1f40e479,9687791e,675af225,1141fda3)
+,S(1d2fccee,47b4553b,215dd2c7,f26412d6,73319507,43136454,35426bc1,29b358d9,93e52147,c13791f6,aceab8dc,95df1637,83d985d8,3a4426d2,f825d126,e7b8c564)
+,S(322cdebe,5aef9ab,957b355c,e8e4fa7c,23f23f83,bf311785,f0fc40be,ce0f7453,2eb8c80e,561e419e,f898f772,12eccab6,e6c4ffc2,5daf67b8,47853a6e,8475d19e)
+,S(c7474f42,5491fe9d,51a9e00a,a42bc188,50d4fa36,c19d9869,6939962e,61e207b9,8dd394ad,799a69c8,da550741,7352e7a7,92a941d2,10b3f65,f634cdc3,1f42a875)
+,S(ac33b339,1bddf66a,6d04c62c,da618bc4,1ad217c9,7d37526a,38d12e28,9fa9dd30,602267b,59fe438f,ac57d14a,8dd3451f,acde0be6,c8984b58,7cfc1b24,34ed9688)
+,S(158e2a30,36f71701,2020f476,dd869974,66f157a2,27548e65,688ae79c,3bf8141b,fac16be0,6033e61,d34d1d,1e2c95ca,6109dfa3,64232edc,8f8f62d7,19ce6303)
+,S(88384c6,42d1bdcb,af5b472c,2f7a54b2,11ae4947,433d5d35,add21374,33ec4b78,3c3a484d,5b8793ae,203f90bb,476b4d25,773b268a,8e89dfb5,dcb17576,166b3e7c)
+,S(21e3c1d6,32299e3b,5da75f6e,7ffa2958,e5d686c2,6322491a,2597dd44,f6973d2,9866fc69,7b9399b7,4307b1ea,e27eda12,590bb138,b22485b9,de6e3cfd,8d23bba6)
+,S(abc484c2,6d06ec8,bba4170f,727055de,2611145c,8e4a33ea,56507b60,3477d319,4f92a638,17f6b635,d2d944a6,b9194d40,c4ab7041,2a8ccf05,e2fee038,58d87592)
+,S(7a98d6d0,202f4230,a12fe9d2,e321bc55,a3a3b35c,92443731,cc8112f0,579b08fa,bad00e1b,578de9d3,73f0ea77,85502035,c5a04c98,8904923b,f0059a3a,a8ec6285)
+,S(282e401f,57ef51d9,f9a10959,d272e0da,e9898f32,d2a3e059,4a65c901,cb1ae10f,6bb8b543,e9461164,a66d55a0,adc51ada,4ac311be,c6625276,5b2c1639,c803037b)
+,S(5259a2f8,3dacac1c,18a9a64,d9834c82,e862169c,7a1b9d24,2b521c4a,d7ec4274,196fac52,458c7d1c,3dfae8b8,2ca130ba,99d43a40,8bf41da7,d2e9d040,291f165b)
+,S(cbc4fdda,9ed1707b,59db2171,38e9bc1d,eda499c0,78f22c28,4309e184,cf906081,2929df0b,24074d42,75e8a861,8f064466,9ca0dd45,752c7d5c,8cf32661,f8a1ebe8)
+,S(96b294a7,ed8d4916,21f10b04,3c2a5ad8,88b92c76,3c93f375,f6d31d99,64b9cef8,f5502e33,f1416c8,77cf06f2,5752998d,a30ed434,365b8239,617ab3e1,65948a96)
+,S(287e1f0a,a510c8f6,273362d4,ff8d96f0,dd27113a,b45d0bf0,1af5d5,d24f5038,4b5ddc1d,6c9c4423,1f27ebde,bf4afa29,df337f18,2a2559b0,33de6830,cd7b9e14)
+,S(eed0e323,3475ee14,5160d4b7,49210f47,c58d7b26,95dc8036,eae0e6aa,91a545bf,22407aa5,430aa089,3f7218f,2ca23ea0,16eb04b3,3c967e6c,d4c68ad7,16e4378d)
+,S(1417cc87,72c932b2,b1116b4d,ab4e86a6,e7d80fc7,b082a6a4,c148c50d,177299a8,66e06245,56f09207,ab2d944d,167590d6,44afa2b7,b598b92b,65706271,d7b50e30)
+,S(af6029b8,93c549c7,3544e849,b01ff2d7,b991fb98,2b8a3baa,b9f1b8ed,2b24bc89,dea2973,a97bcb6d,3257121e,9233956d,43ea9155,8105559d,ae17db09,fbc14f2c)
+,S(dbb5544d,d28d2510,8a91dfa5,9a3c7538,1b4173c5,eecc8e18,b5065fd8,fa4fa570,4f84feee,755215e9,15abfbb,ff46eb6,9148efbf,39f69261,a9d2a345,3aaf1bd2)
+,S(50ee1b42,be9598e6,3fcb0467,18786633,18b550ec,16645f70,869b231b,674a1878,8f4fafc5,fb1e714d,f52c0a10,55016f9f,3ca57c9e,48fca138,68464b8d,70c6b2fe)
+,S(77b88613,4bcf9ab7,a1a6e0bc,82137906,d5c24607,a6d4812b,a6d1c8d9,55a5669f,2ffe0de,c5426e8c,92fc247f,a024f1e2,86668e7e,d7a24c33,2c887946,4cbfdfcf)
+,S(2bf83837,74a9b9d4,7acfa6cb,6010fd44,620f51c4,e076d5b7,e798edba,21d7fb8c,5f336533,5203a820,a9f75f58,61bf2d0b,fcad07ae,9e297433,79d22b3e,a75f40f7)
+,S(207b1218,9a6c2653,69f66738,b2e61d3a,c43cfedc,bd9f94fa,2b883991,ae69e350,c43b15c8,c08b4592,70c887dd,d15cbe95,d627a3e1,4a1c7afe,da2b0c69,549649c2)
+,S(5ec76ba9,63dbe3e1,d054ad89,7a00c7af,f60f043,d2472f6,d3369e87,45637cbc,b66d383a,c4ec579b,8350a1b0,b2751fdb,f2ab329f,6ad63cdb,d6d46e35,944009ae)
+,S(d010ddeb,3959bd8a,7a7ac178,ca573326,b578e940,b46f5808,12398722,42e13c94,2343d4e2,a380fc9f,617ed8b0,903b722b,a707c53d,a2140021,403ac617,d71fe37)
+,S(49157637,c5c47498,5590bdd0,e4a8cdb9,f9bfd422,99812950,9ed25a49,7dad0da4,2564d49e,5c53c818,770c8a36,6e92532b,59fb90ef,e7ff4dba,c6baedc6,b792eefa)
+,S(7e39cef2,8285f9ad,1b5ea712,78720954,f4933546,bcd7f9a,b4c7bcc7,54147a9f,6bbe4096,c4c107d1,c361befc,75916c87,6a2a0da5,dde637bf,1f125a21,5408e78c)
+,S(45457311,84171f1d,aa931d3c,16b9926,59357877,84a4655c,54822c9c,1685761a,a13710ad,597e7da8,f4b12c17,9afdc5e0,5fc4f05b,e204567,9314149,9c73b421)
+,S(c0bbe693,23e256fc,f69f0427,74c59091,287bc0be,82f0b5a5,6ea8f957,6d647d8b,c22981fc,6a015c20,525a0bf7,a9ba8ac6,dab6256d,d763614e,ea250c5f,fb433231)
+,S(bb224b39,ff7d27f8,1ba86e92,a6897776,85074fa5,48b5515,987df332,15dca58,73bbcc60,c3adbb94,651cb73b,b311f690,6995d611,8b8238c0,4519de94,1e6bd47a)
+,S(94489617,8b4bb641,9cdce312,5d863395,7ea54002,7f759e39,a8846551,ad3a0866,4a16c110,7730cd80,55fb7ddf,93c6deab,e3282da3,8a35d79b,3238e8ee,c8917935)
+,S(9ae267ae,a964e8de,68398609,d6351619,4019778b,2341696c,7e44f446,dc8fac38,6d175dce,e589920,851c02cc,3fe3dfee,e9398e53,7742249c,e2745713,fee236c3)
+,S(9e237d91,a6ce503a,65dafb47,a9fc5f7f,6dbcf3cb,b026ea73,68403187,d95afd67,64d491e6,df79eadc,74c198f6,fbdc481a,330d030f,851c7fc9,63974047,ddf2d12f)
+,S(a5c5e0d4,920f0e3e,6973b71b,90ae2b32,2fa16960,b850eefa,1e516b4c,37252d6c,1aae183c,52ba9f14,f06c57dc,b483ba6f,740d6bfa,7ebb72e8,266895c,e6f6551a)
+,S(a6d0cd83,9a198c9f,62bbefc4,b91b696b,57a4f876,6a16fac8,1131a9b1,1b36bc1,97981c96,9f758543,2c810b09,460c07f8,8520e78,3e68529d,7a1d3bbb,e0a86e85)
+,S(4a75be64,16d6a87d,49e393c8,a26467b9,4b43887f,a90a25bb,139626e8,58b122b6,ace3e92a,c693f8d4,210932c3,89d4275d,75a46c6f,a9a76358,39c26288,1b8f83ba)
+,S(1559a339,7f1e1195,51d8b4c0,fa53b5af,c693ab8f,843e6b00,1a6fc435,5967d7ee,8e450f28,78b2e9ea,829e965f,ae4484be,7e98f39b,a7b0ecaa,b777914b,848f324c)
+,S(33565a48,44d9b25c,109eb9f2,9546fd5a,3f30d4a6,157a4e69,6029420a,21f74deb,c8141513,c4e370e2,400b8df6,208e867d,9bcacdd,d87cd975,8f91913,3ba97557)
+,S(b49c8814,23db909f,c68c73ee,3995a7db,89e919f2,dc697855,357053a5,7ce26988,65878108,879801bb,ae412aff,72e83051,bb13c415,60499b94,8e0831d3,c2e11fb7)
+,S(3a9635b0,b82585d2,37068f72,76291c4f,cd3d211f,80fa7256,58e28dfe,920e3e93,a1711c74,ba4e1a1f,f0a9b6d2,12c8b995,7b6c8c0f,f71da246,154f13f4,719f0713)
+,S(ce6dc56e,6f5c496,71a900c1,ae531e3a,a8246877,98044497,fc543013,2572bff8,1af98ef7,3703f8a7,6fc88e9e,c9134aa8,a9e24326,314bf4d8,2a0c85ed,af291f8)
+,S(a945a79f,1627e79c,9ce1cc5b,79ad02b7,c07263a9,11f8f78a,ad314049,92bea11f,f41aa315,4049b7c8,c9bef95,f3462336,ccfadf0e,16c1f129,26a5c9e3,7a443bf5)
+,S(3debe447,a5f793d4,210e1607,642abdc3,c3a8d446,5a553a45,d73ede0f,20819dae,c0463782,dc5383b4,f7f81557,efddb90d,30138670,858c4197,5a47e6a5,565e339e)
+,S(dba32245,a37b5636,9d7120fb,a99880a5,aa590299,601c6cff,d33238a0,395f8d2f,d589ab1f,ff442551,12aa1283,3deb9b43,947059bc,9cb1b32,4d8a29e1,1da82b2e)
+,S(9c52bd5d,1fd61e1f,8e75f23f,f6e8baea,a8b7b5e1,5e780870,ea9f8dea,2b75cd56,e6d0a620,c116a7d2,2b2f797c,da7119be,556cd834,caab1007,e9a8ac02,f8945859)
+,S(1ec28a0f,24e8910a,85f3c583,415afad6,dc5e10be,cc600749,8cbb40ea,b80fd383,c616ac82,bc6aa8b7,1a3cf89c,b82d7e9d,ddb95761,dd64da13,290f6bd4,a4ff907c)
+,S(4fcefc4f,134d223b,994c1274,bd39655,878a35fc,2f50e405,ce11c76,1a6833c6,50c62036,fa49f62f,ab1781da,ec17a13c,4ec82c57,7993fd20,c5c56d70,145c2a54)
+,S(85481ce2,90bb32a6,eb0fcfb6,9cb9fdda,580d8808,5b09611d,2d8747f6,ca657e20,ad2f9361,85aea05b,6a0d20db,9b6620ee,ee718c2b,2ae1810,42f6bf1a,2b3a2453)
+,S(11aa1424,7760f682,3c11cf4f,12c013f9,7b1c9eaa,5ff0a504,334d2e41,f5daebfe,dda53fb7,b09620c8,fbcdf9b6,605710aa,f807dad5,c7ee4e9f,c7dc9c34,23302646)
+,S(908c4f4a,15c58b2c,a0512eb6,b07c67d6,5b08b99c,13d22358,a52bbe24,b3823dc0,5e708db1,d4b37459,e33db06e,21a45fa6,5dd5c959,22ee7b60,7162a77,d89fc674)
+,S(d192c334,65630164,2edf01aa,d974fb7d,af13ce8b,2c8975c6,ddde145c,1a2784c9,96bf7877,ced69d6a,a71f0908,86e2dc9c,f6529297,a2f8500d,d683b6a7,ebe4504b)
+,S(8fa0f7a1,97138152,75f6c886,245902ef,b6e57515,c28732fe,d49b7f57,c19c6b9b,c09b428a,e54fe6d2,effdb332,4b1fc1e1,11aaf4dc,965b72c5,f97a8a97,18fdb68b)
+,S(e53249d5,4d80b59,31d40779,4c550ff5,d6cfc715,13e0f419,4d7b42e0,62e74681,face5c4e,f404cf9a,275846b,11339448,d9133e1b,470489ba,64c190e0,b73735d0)
+,S(9a1c943e,7f7178dc,c4453de2,d578c4e6,ab80d538,70c03001,a7a4d5d6,fabca0de,6ae6fb2a,1a7d87c0,99f6eef5,dea6a53b,a296824b,d8ab0848,b44d1216,c2c0789c)
+,S(f0d4f862,dd60a74b,e06c9478,1b14b9db,af5847f0,baa00a97,72b61857,bb3d192c,6f48f413,90f9cdb9,edffe12,859b82ff,f8f7b32b,b655f3af,f28175c0,8f1efd8)
+,S(1f474fc9,f6ee1699,7a7f37b5,f10f1d02,f2445e12,ae17324e,cd31d2e,c6fb8e1,cbb396e0,4b754b24,3dd587a7,d71eb673,c41b0fb6,329013a6,8ba95dff,c6d0d9c4)
+,S(dd871b68,1cf78706,61bd7b4d,1ab259a2,1636cedf,39ac276d,5d36f086,fc9ad4d3,89456fa8,cce6295e,56cd18f5,9d9b83a6,4e4983ca,b55d425d,730726ef,12958dc7)
+,S(5223e3b8,3809df92,8db9f4fc,d2b81408,96ed1b89,e6480fe,8a6b815b,bc7a33a5,95b640ed,128da08e,a10148d9,6f53b9ce,e53077e4,64eac3ca,1f604225,75b12182)
+,S(65f26a8c,88fed562,12f11676,e2f237d,b4c500e4,a4ee0715,ae2e332d,74c48815,78df921c,545b864d,7ebe6c36,bedd987c,51ac9d73,795b3c8a,2a125d2f,2fb8cbd2)
+,S(b62376f4,bd858d69,dc5d2757,b67dfdf7,1d3f770f,e96a0dce,3c61fcad,ed0e2586,c58d5af0,d669832f,4ff38f98,298e9240,c6202343,4e829b0d,145093ac,9ef023f0)
+,S(a3297102,6001a6ab,ac0e84c,bfc4c829,4c607d6,c2147833,b1f726,752ddf07,b2c820e9,35502858,eea3b657,c15173fb,d1d45454,3c4fa17a,591a20d1,802d5c65)
+,S(3b6e214,94773849,46056d4a,dec9e5c6,86f9873d,76accfa4,b4a377ec,84081339,d7e8ac79,e03d1cd1,7c83ad60,6a140b26,dfe67ed1,254a46e2,9c527cfd,c6afdf96)
+,S(ff6aaeab,11cd4c80,ea69c3c,a10f09a4,40b3e51,abf56ee7,2c337414,f3220264,71d8a65d,7a605e01,852f0fcb,1bccfef9,147007f5,7c6b83d0,ef127b0,fe90bdf9)
+,S(a0800062,64942e,b9bc70b9,f40bcc7b,52c0d43a,b4d608b4,ff65d73d,75fd4a87,de229122,80c1d66b,364fc250,5b3020dd,1482e43e,c4e67ad2,f2e49ca7,df9659b7)
+,S(7c2b8b50,7e2256da,15afa166,84dcb7e7,c437b925,6c042450,6025a551,cafadd5c,747b5b36,e247939,7dd719aa,6ce55c0a,218312b7,26adf84d,eb7e3820,57a0b375)
+,S(631c89e9,ee8a3192,c593ef08,baf3fc1e,d30a47e4,6a4ee9b7,e1c6cf5f,d6a0a5e5,8d49bbec,85a5245d,ecf6b084,fc65c697,190f8220,cbb84525,a344263c,ae10e2af)
+,S(7ee8cbf4,a0b12cb9,d598835,bcf13fed,72e441e3,bc4b515,4182cf7b,f2818b3c,ea3b208e,70542467,a1e09248,8f34b44c,3821f0dc,169c6037,a7299ecb,25111774)
+,S(69c085e5,86fad3f9,7b94d5b4,63b937be,5a95905f,eb33b25e,11ef9e8d,6b5ab3c4,5badd881,779a04f1,3a7333f2,dfcd0fb3,6167d168,b86b6a8,27640559,6e5510c2)
+,S(951c09f5,563288a4,e25284a5,a694aebc,1e4b3d45,db0f0ef5,86ce87ed,237aa05f,a0c2704a,fddd2f24,462ac715,cca72894,7de034a9,2c958111,3f55c58d,83911c24)
+,S(ba30b632,6ad18aae,6d87a1c4,6af749e4,6d639106,76f25f8a,673d0249,5e813e42,6c174bd6,3def5d0,2ce342b,1d0f895c,ef792f42,a97768b0,d091a92b,14f5192e)
+,S(53a1d69b,77ee7d09,f9530860,31e93038,42daf062,c1ec9f19,1328b346,559fea0a,baea6eed,b33605f7,4bdac4e,749650a7,256bf215,737d1081,2c805ed5,298de5b6)
+,S(23635f56,f8122da0,91d7e3a0,1125b99,a0f87e98,a717dbe1,f6d9528e,82f9b4ae,1a326517,904ad591,43f0f733,8c98f11c,2ea0fc9b,54e9eeb8,c41e469d,ef0ed297)
+,S(c574946f,79574d9a,32c588bb,5cd8fee5,dc60403e,81b11fad,cafc69be,67c0eb67,d2598c1a,8568e4bd,a477d9d9,909b083d,f55a7116,9ccddf5b,666a8b61,96e2f73c)
+,S(966bbcbb,4d397eb1,91ea2ecc,871fb24,b0c47469,33df7b03,124408fe,583db143,11741ab6,a38217c,e55bba9f,1c7f41cb,2e69e54a,8a78cf02,60bd3d2b,22789b8f)
+,S(6ebbecdf,69e6e137,ad70cfd1,741ed404,4b3620ff,15a07f8a,769edc8f,c1aa1667,2ac87d70,baa106f3,a3490b56,a5960f64,fd80160,d0c14d64,ca1d40c5,f244c57)
+,S(815f7f47,8609fee,733b7239,b272afdd,89c2f984,5da8186f,4ee8be2e,2e3e73ce,a972e06b,388be908,86c1e324,e1d2b953,18e99ef3,c0120906,f1508732,f839b930)
+,S(24799358,53364be7,4675e3e3,c141e64a,febf3a04,386fa41e,f19696bc,5d3253bb,d6233c69,ec254367,673bedc7,1319641b,f9c029a7,2523f8ba,39dc375a,df245804)
+,S(db32eded,dc803ff,d5a1f3e7,8437efbe,8c098fd8,e05f2aaa,c03e0daf,50ba5622,30ceea35,22ba7bbf,2ffe9c1f,bb817fb0,748efb45,65d01eda,9f9cff5c,b5afdad9)
+,S(c5fb9cd8,8408cd00,33592de0,e602ad35,74e873be,4442d0bf,fe3bf837,51601689,a604a6eb,85233ccf,ef57fe7f,8a73c430,10e94b8c,4189225b,fe97637f,e7b97935)
+,S(7b74932c,71dc26be,429f53eb,efc29905,bdf088a3,f2cf4bb,9828b701,11798163,e07d2133,c628a82e,4a22f58d,710b7d88,892cb999,2f921c28,3772310,c72909ff)
+,S(308a025,4f659ac0,7c4e0850,738a2f16,df89ca15,fd64b35f,8f968413,b00b2819,4b4758f4,1eab6491,a8b50fc5,17f7767b,add40ea1,7b1272d4,1b1adf09,5d33c990)
+,S(26a78f16,95b595f,63ff1b4c,cd52acca,ae650319,e67554b3,a77f85a3,637fa8ec,3db38db3,ca1e5dec,c73f2192,c4af6ff,66842a38,c76d62c7,c5958fcb,67f38097)
+,S(bc440e62,f8524e7b,aef0af7,38e60a61,b213ab6e,713fa9c7,66d28785,891f15ec,175add64,8d472b3f,1547970c,6de2a57b,d2d3833d,2e847810,253b3712,f4d740aa)
+,S(f2300d54,ebe04aeb,7a9409c4,3f2bce46,72d9937f,cf7e2a86,c4e8d55a,ef2a4e26,59e0e44b,9e090bfa,5291f436,6a3a5336,a56dbc96,65ae1aeb,e71e8c7d,e2fe77af)
+,S(4d34ac85,c64d7d4d,97d40331,3fc19118,ddf31d19,18196594,d2f7a08c,db951c1a,551b6581,e6a1949a,4bbc211f,30fea215,5da8389,a69f6681,96f947e5,f7c8f7f4)
+,S(53c3e6f0,fa2795a,adab1a45,a0f30f00,5f0310e,2f989d7f,d1f4504e,d03f2c04,12b382e9,b867a8c8,55461627,b7996676,880784b0,19690280,e709e91d,93048a32)
+,S(259b0a65,79eced6b,2dcaa804,ff86122a,24e0d338,165a3013,9ab59f30,343f9ed3,27195af8,5217e109,33e2e1ba,57ebe333,9910c84,9b4e8f6c,af5700bf,93395635)
+,S(fe07b39c,f9bd07e7,980b45c2,bd791e14,450eadeb,f6c41206,e73c101d,51093908,a8e47a5e,7a7cd98f,4f5e0afb,b5cccf03,56491271,c85fe0e4,9ae12558,721c66fe)
+,S(7f38bd5a,87e2ebd4,526bfa35,5ced4f47,87c404c7,74e7f481,85d40d10,894210a1,4073ed4,cc499ca9,e7f8ff5c,f91f9c4b,782b6e6,f6225edd,d6f69fa8,b0b7fdd2)
+,S(8796a424,9a251ecc,c0b3b44a,37edd05b,e34efda1,20926343,3a099e7b,8ae40a82,c02ec680,2860ecd8,f6ac62e2,845e8470,ff60cc55,10bf0179,49f95517,c1dd25d5)
+,S(cadcc04b,9d4d8e5,22c153bb,def50fc,941cf94f,bb3b254,61422a4,7e6891b0,4ea1718a,53d64935,ff01f0c3,37ed2b7e,a31f9a15,edbbb60d,bceef362,8a454259)
+,S(f2e614fb,346faa61,ec752d79,f9518b1f,e8f535bf,75496cca,513fa961,77f571a,1831227a,b5a35867,82b30fe4,720d2467,68f8c358,8472100e,fea76526,4581fa0)
+,S(cb10686b,d361e64e,d82d6aab,5373f62d,b165d3a1,30bc7022,cb3f37ab,d61adff1,d969d37d,9c3db8d4,2c60a24f,44abdf65,b19fc6f7,56a452d6,7ef1b099,613019d2)
+,S(6e903855,15042422,cc16d104,962352f0,2e86847c,f816468d,5754c70,fbc6d3cd,cc49058,80b7c15f,6f718ff0,ec2d8544,62e636c4,3e20dbdc,ee318a87,2d52d9fa)
+,S(2c0a40ca,38f70b73,ef4da636,185c8260,e50643ff,9b5a83a0,fc0d410f,5526ac12,3f1eda92,8c32cf57,64d768ef,7a6afeb3,89dba8b7,e5bbe5d5,29b50410,5136ab15)
+,S(1da89240,4f7ac31,136097f3,ed3055ea,d700aac5,a87ad4c5,49246211,f0ab0d0,e20f1baa,6ca3514e,ed4ceba5,9afe1875,c717597a,b7dd3c37,6d638e,287bd49b)
+,S(5113fec4,172e4cf4,4eb27c6e,932e1d93,f16b3ec5,8c791b3c,e22c9bb3,634f76cb,7b129bae,b450023b,ebf81c01,bcd486a9,b494884f,b005b2e9,48eceeae,a6911760)
+,S(a8d236b7,bff53a1a,fe23dd5d,63433dd0,a267e05f,31bce172,f80c5d65,c24373c9,698101e4,33e8a6cc,45b07552,7aa4ffae,3714324f,d5da0ff6,4fbc7123,773dde9a)
+,S(79b2cfbc,b5a0c79b,d2ba680f,a1b594ef,4b2869da,3baba7b2,81cbf373,9d6f89b6,df45bb38,a21f4838,9e9eec46,f34eb6a9,78967e6c,5d181a92,e989e275,45756aaf)
+,S(ba0eca95,4ec16133,1245f4fe,d70b725b,97393053,84fb962b,d1a0a014,cc403bdd,7bb5626d,2ee7d5fb,ad9cb623,7ba48440,26cbc27d,651811f3,92682622,2df76258)
+,S(69609368,c01a1920,d3f62310,311cb7d9,cfca4659,1f53fc31,1f0af251,1f99fcc7,73ee24fd,32b08bef,f4254bf4,51614b2b,c0269e59,c6caf25b,bedb4919,76186894)
+,S(c0b4d69b,d2344ab6,df9d8427,d480296f,5e0333a6,4a447302,5eac698b,e916f676,817dd44c,49b24aaf,627620c,ff7bb843,a84c7eb3,cc7e77c4,f65ba06a,14abd07a)
+,S(80fd0f21,435d42a3,5ba377d4,e2401afc,dec30b21,db770277,fbab9841,3c5d9f9c,502f305a,a3350f4f,50d418d4,9b19768e,4976020d,8e158f2a,6cada628,e79953fe)
+,S(7e18fb26,a881189,e3862fe0,9006e1a5,e07aa6b,39a5ef66,4f52547e,1cd7ebcb,dac9006,d99e8a47,d3c5539a,508f3f41,c649d475,4a53fc43,2dace107,1112ca84)
+,S(a5b8503e,3f7c067e,628e5f5a,e65a0891,74385de9,69049aaa,26df1906,ed85af56,e9cc7458,fda4c95b,6b502498,95f4bdfa,ad9ed7d,346609ee,6549fa16,6e98dd1d)
+,S(d93f866,450f7693,689bc9a4,644b52a9,3d006ced,d284332,4dac7fc0,bc6ff548,94c7526a,14b30b8c,b5a2b33f,c6508dce,fa141bbe,b6aba116,cf3cc169,ca094b08)
+,S(424ec330,e4f5dff4,31ce33ed,1ef8293b,b8cdd070,12b5b18a,67b3f4c4,d766bae3,94f29933,fc5ee8a9,27295c4d,8d28b3a3,67c60d6b,13247616,a4dcab96,b58e2dd0)
+,S(58805d5b,10cf81e5,b114c372,69dd5dff,cdf7e153,370a8305,bcba9d3b,7ebfe952,15e7b2cc,3ab0ab9e,a36df4bd,ce66bf72,8c45e295,d4a6c94b,e366f86a,ab39df5d)
+,S(dab0c80c,a05aa70a,e626f81d,7b85c06f,b418ca69,8067b9fd,83cc6e0d,6a3949e8,4c728c4c,527f9839,498aff2b,91e8a344,aedb11cf,7ab9486c,ab3c7014,3dde8e3)
+,S(55b54261,cd493b2d,7dd46f1c,78ad3983,787a37e7,ad8092d8,5cd6a55a,b870e09b,bee36be0,1168a67c,13faf147,6a614b6c,bf7b149b,4600c93e,4ec199e0,9f7fc63a)
+,S(ea4f2da7,a5cec770,d986ba06,b1f18ec2,b3907a44,47fa2bef,4c9fbc10,d92afd4e,18f9565a,41583c3b,f7015986,ca7c94c7,4222b81a,9ac26eec,e7954baf,cb470072)
+,S(5d835d26,54e489c3,d726f54,bc06ee3f,11390023,fb8d16,61f76b2c,29cfb78e,83091f39,9d1bfaf5,216add5f,dd4d60a3,469aaf82,ca6bf5e4,1070c03f,792dcb2e)
+,S(f5efa7d1,484fe717,428e9f54,88c12db1,c775073e,27d028bf,7def8c3f,4f558774,1139d67,793faccc,70c7f48f,c892c314,988d4767,b9d6fa2a,2f2b632f,367453a4)
+,S(132950c1,6f24a24f,a907cc59,704692ed,b6a5d254,79dea8d8,38cd71a2,a5d6542,b1e87d14,db8725f4,e2c2522e,c2f3f290,11d664f0,e6e85368,6c142c3,bfefd736)
+,S(e479b0c5,478e49b2,c9e211c0,8e610b4c,1f1917fe,5960ba35,9af83c9b,4640d05,66ab2af5,3ffbfca,fdceb064,452c8ab4,b112ed68,8bafed44,1b66ef80,92144364)
+,S(41b8288c,19cfecba,562b30e4,93a4c796,dc3adc21,f0c7a9d1,6adf4459,375edc5a,3ae93bec,6f438174,b3956d57,d9dcf29a,d673f6ca,74c96120,c22018dc,fea42398)
+,S(56696d31,6d3cb87a,a3eb312e,1cd41768,2d0183f3,b91f605b,c4389d59,d86052e4,5e96c041,e495e90e,2812c09e,81d431c4,eca7274a,2204cb,a3a00a0e,650c6b21)
+,S(ea36425,bc35c1f2,f0d96a49,ce4f4446,72848c5b,ec47d7df,6ac5cc30,d3968ebe,b00381cd,a5c19740,a266e63d,d59fea3b,d3d3d3eb,c899bf9b,da8090f8,1eea766b)
+,S(84463c57,b01dd5c9,b98e0e4,38e221af,58c0e077,20540b7,da0b4d89,b3c36502,deb3a24f,9a0305e8,812fbaa2,f81e5fea,fd24c375,6a529c3c,c2bf4aa3,8d87b30b)
+,S(13a22d5b,d23428f9,912df3be,eb82f4b,411fb39b,1604fa7d,4db63862,293c2310,99a19b77,c6912900,1047d70b,7e84ed80,a8427709,67384cbc,da11a158,6ddfb1db)
+,S(de017231,52bdadcd,21b028b,4cee806b,89e98728,f91784d3,a418d7b1,22aaeb57,7ac0a9cf,15ff4a0c,f7d8a0e9,d2fe1469,1a08d526,7e3475a9,381be3bc,64771e65)
+,S(1fc63549,9d462327,afc13d0c,eecddb5e,e99bb085,55076d88,7c064e8e,e40396dc,841f309,e47fb335,d2691c43,248a151b,426f1205,ccba170c,7c644615,54258a55)
+,S(323e5acb,f821f131,7ff1dddc,822cba0a,b3b2380c,ea2f1b76,903c906d,83491dda,afc25ce3,b13cad24,6f6d9a2f,71e97d1e,e31bd2b5,967a5cc,7ebb1caa,adc7ee)
+,S(57b1ec40,5c187317,ff9e70dd,2fd0eca8,cf2b94f0,3d7737ac,dd1468ab,61f56384,247e6f6d,7e2e70ab,a8d50794,36b1f6a0,b27865ac,791d1f08,c334013a,4ed93386)
+,S(d6f5f80f,80586e87,5cd322f5,7836327e,225aceb5,6d8a83b1,6cf3bd12,4b581074,e925199,b597c7a0,a179cf34,519ca3a,f35b6d9b,24d76118,ace70f99,f1932979)
+,S(2fef6c2f,eaa8c4e7,1cd31179,e0bfaa85,95d26471,fc36be60,1df75cd9,94e73c02,eedc9575,5bbca159,2271bcdf,d9ec8bc3,466e4b77,36d28abd,e6d68ff9,b9820f06)
+,S(e488b041,358bf98b,11cd31a7,77a7d93d,e9cb3a61,c49fbafc,4bdabcdd,7b895964,755147d5,ba8f1d44,4ed0eeb3,d072c11d,f448c132,b9e06f4d,66f92ab3,7114a1b5)
+,S(ba2591b6,35e7747f,20553589,11e7165e,618b6150,222a70ab,afa66bc9,a931cf35,3c60585,b16b1d07,7bd578f1,85e76bf6,77ff788e,a9b2caee,6c64ef9b,143ef487)
+,S(ff4b12b3,cb0ec8d1,750c648d,6ed2695e,a41f8e82,58ba8b16,bf4727ba,6120ccf4,e2cbc52b,f0031efa,74c1fc8d,25466888,41c695d2,393e19e7,287bb34f,afb689ec)
+,S(9e42cb1c,aaac0c62,47e4028d,501c84ba,6279b39,dd17424,73c2cd10,9bd36063,c9d0d646,381ca19d,528d2ff2,b04aaefd,9f8095a6,8811f8e3,e85b5ff1,5a5da5f)
+,S(610e8f14,eb180ac5,ee435530,812941e3,ed7dad5f,c7bc7924,10f296e2,449fe005,67632a19,b1567d77,b0b5f013,77c6a05e,9261ca50,d010340a,968d8507,877fd4d4)
+,S(f4c4230,443f3324,7be7bd5e,5cc12a0,27f0ff23,ede41c44,beacedd0,64789752,55d7b7c6,866f6bfd,29a410e9,8d5d5e21,98719d60,93e2bafa,697a8b5f,734d8bb8)
+,S(66221ff,1d344797,1f308b89,a26e993e,c4d1c05,2c2fa436,3729c9aa,8c9dad0d,c0c78a0f,be8ba04a,932a7d6d,604f0fac,4ee01452,fef801d,36d3ca93,c4b7a965)
+,S(c3ea4e8d,f8ac15b2,1dd251f9,7ebd19ca,2d91e97e,b13085fa,98294915,6aecfcf3,a7286bd0,3bc8f0bb,a3d28b6f,c513c4d0,472225b7,aab70f62,18c1a735,b31f1547)
+,S(762ea616,8b3056b9,da318ef7,53ae0cb4,ff57eb15,8fff58ec,7e4fca2c,b605a49b,195d761e,9caa7603,ff1b5ab9,85d4bdb9,d128ba93,33d6cd94,f00c62f2,9452c8e1)
+,S(50cbfa1c,f9a07c2b,42783077,8cae738c,3c3a0d5,617b8c6b,81914720,25712a6a,40a37fbf,97da5646,a653ec25,eeef583e,15cc1db,5bee9ebf,addf9706,cb14e689)
+,S(bb8b806c,6798d001,f0d6b31d,1b17cf31,7a5422d4,3a906a79,294e5243,e22ae3ba,46b763df,b7a7a967,75b6b3ac,d21cfa37,a187ab39,99506c99,31623acb,841d4dd3)
+,S(5491fa1d,88f0c9f3,6d87e074,331a9a6d,c17a5f63,b1e3326,500a5bba,1f0081d2,6c206f15,7dfb29d0,3b0e5878,57d1abb3,5f18b260,45c58da,87e8c128,7f699a83)
+,S(c9d2726f,5ce823a3,ce02ee66,262d0673,f04ee272,dbc16cc0,27068850,cf472435,ff62f77e,60de3ae1,52c7f943,c3eed295,fe6a7aaf,8e6ba0df,bb60a8a2,b6081aef)
+,S(a0d934b4,68151a34,cea5ff0b,d002dfb0,ec51df7d,ca5afd35,56acd53e,39515256,2f27f413,ac43711d,fc69e5af,785546f5,8e0da1d0,c9e89271,c8933b21,5998a999)
+,S(342b7a8d,a3664884,1d8198dc,5e17b669,f4e602bd,5dfb28f0,95b7751e,4ce8602e,cf36fd4b,24cc36a2,806f8926,db6951a4,4c545076,70ee674e,8e2fefb7,e33f65f0)
+,S(1f0993db,1084fdf2,6b2fbcfc,cf0c8a24,124c2474,92acbcb9,6221b788,18542b87,fbf92437,f6feeffa,4e04267a,c8dc57d0,c6d521b0,2631c20f,876fd9f8,b00793a8)
+,S(f8f4034b,d7fcc9b4,256433c0,c2b40f9b,2f45a117,3a371707,f6ebec47,e456d9aa,cd895dbe,d97ab95c,b3c98512,c46a538f,385b9b26,5438f7f9,8caa245c,c680f54c)
+,S(c80f3bbe,d409d5a8,cc0502ec,d7d95d8b,69067e61,fd2e8f7d,45f06ba6,7db89a33,dc803aae,6b936dc7,27773f6e,17c5d2d,af87a1f9,464320c5,4fd0cdd6,d7ef5c1a)
+,S(b19fd3c7,8ee32a3e,dba4d6db,bb1464b8,5b3a5865,7f0c06f8,31af5b39,de2b436e,242c72a1,91f17614,8ee25c12,e0f8d4ad,52837a48,9b94b16c,27c8053,43c8e523)
+,S(c88c52f8,a658160c,b10614bf,c744f668,ac46b774,94592a1b,99562a6e,e6482099,5a2f3a43,bfa6873e,7a198ad5,4fc0e3cb,2047f268,6396231a,a158a5eb,f4aa3170)
+,S(b5f02d99,8f8f1c5a,8c8995b0,6879c804,1dca6f17,3666613c,efdbb82,820164e0,8e39ef2,207f5d31,2e36ce55,3569d2d7,2204a9f2,500ccff8,50bb67d0,a0802585)
+,S(4d4e728b,5da0713c,18fdde5b,290d24ae,f7150d42,f9e5625e,f05bd17b,124f8302,be413caa,b7c77064,91110243,a20545f,8f9e5357,49ce98d5,cdb41384,5471bb5c)
+,S(92832d03,32f7ebae,b67701ca,a0a2bfc2,b36b6403,742f4ff5,ff2ae46c,242dd226,cacf8955,92bc2fd2,90dc5b5f,b4185159,3e4a6a0,709a51f7,32e8c554,7cdc4114)
+,S(2807a982,b4fc3fc0,8908fc5e,b3734a83,b2e2035d,8c6e3036,b16f9ac2,f4bba58a,ddbb9f8,3a9a6ae0,9945ebfa,9cb7e7a8,49798032,8545379,df582f93,72cea69e)
+,S(e755ddd9,139cc4fc,b266477d,645b4efb,b02088da,752d10af,aee5ff8a,45df9659,fa7daf3d,605846c6,35e2534d,746873ab,cd502ee4,27e62c45,ef66401b,c816beae)
+,S(93c33dc5,152a9bf8,31c3cf7e,ea833ca0,485f852d,52a255f3,55d7e67a,c1964f63,4a3a36df,13c8cde5,48feb589,dc56eb16,9a874272,c7a0becd,d40554db,cf4d8f63)
+,S(70d66e2c,8f934356,d6720d9b,4809b984,6c7ab1c4,f8604990,d2e559b,a59c24c,24e8b668,4ee0062d,7bd79b3a,c96e0316,dcbffe2c,973ff6bf,e99590fa,192603e8)
+,S(c165111e,fc2d7105,f6bde2aa,7f682287,2d803fa2,ec904380,27195cc,147904d2,c71184de,f408b79f,32086d4b,2b0e5d95,aed6e0e0,eb99bfb2,7e917abb,8d3a5e74)
+,S(12144a63,67cc355e,e75486,357b0c79,ff4fe703,57a2f89f,3e3f7e20,ef860204,f2bb05e6,e55171c,c839fdb1,2b49ba11,dfd53af1,7a5a9602,4327f93,940b8491)
+,S(3179dfa8,bd134725,3988033e,70f806de,fde9c6c7,aa4a6d43,a5cf110d,6fda7828,3133a35a,ffd1f24f,579fb314,2e72590e,475e931e,8766d462,842972cd,70e49344)
+,S(51fe3e70,e5f21b21,1cae97a9,d0fa49bd,166dac17,5087ac3,a93219bf,d17ee77f,f3309396,5677c691,2a987cc1,5b3f016a,4efc22c7,6f89f562,4830f09,a9fc9bd1)
+,S(2d7c98c,a224ebd2,a5167017,88018bf2,1f29444b,6eeead79,dfd9e503,7fe1680e,abae552b,bbeb09d9,dc82af6a,eea16d50,613c9314,be23eb79,d254a16c,decdc02a)
+,S(c356823a,37dc335a,918a5553,bb0dfb9c,704ba647,d6cef22c,1e71bc9b,dedaa333,d8715c0c,a0ebf8be,d79ea3d0,85a70d2b,b40efecf,7dded60e,13d0577,cc235e3d)
+,S(91af0d4a,56a75616,e9cb1351,4ca27ef1,b7411d9e,5991be14,c1658450,71a2b3f,f6c845a8,76657a63,ed37bd33,46ca60ef,a8fd151c,24a9e35c,5893f969,2580e26)
+,S(6a32ae36,93ee1e7b,77fe8418,7266e6c5,cb41c7a7,37351cea,987a4f80,a26cbe00,2816504,dc3efca2,67e4bba2,5d4c9dbb,e8622e99,4a712503,37320925,ed5f64db)
+,S(5851d327,5e18fb4d,79292e6e,2bd6bf29,b6301e08,7b418ac1,43afdf70,7d880901,1e17a9c3,dfa8c3e6,c1e9c34a,785321a6,e58d8024,c61cd02a,8b83ad41,a2366211)
+,S(233a98a8,9fec3399,f74d99cd,7d5d4894,1be8274d,8f7ecfa1,f4f3693a,fb26a654,e9d5a9ee,fa5e6cbf,9ffe590,bd7db1fb,b9e08125,93f42238,65298e9,eb42d7fd)
+,S(8751bf4a,9676e2f9,5036c3ea,97749d8f,f452f67,cd1259c8,4c39e8de,9cf796c9,4f883d63,bfb0a01b,e26b31b,53ed8755,49ed6c1e,4b67a160,7fb68be1,7b845711)
+,S(a21126cf,7330697d,714be16f,27986c9d,cca4a0f0,3a12b6a,d54ef31e,d7a3dc23,3b0e984f,565d9825,2c523913,d2d90a26,b47973a4,8d8669f6,8dcb4c62,399b9777)
+,S(8123c441,96d17ce1,c6c1a9d6,2aaecfb4,cdde74b9,317599ea,450e62f1,5639c3e4,406c585b,c9aee3ea,dedc117e,d58b1c3f,db5846cb,6eb11592,469bf958,6872b068)
+,S(6f8e1a45,c18ebfce,2e2f710,efbd7ffb,4f107a32,fa6a46a4,caaf8ee2,37a22805,b36a7c4d,712315f9,a89b5ac2,8d1a5d55,5ead81,d7c43b8,8155eee2,b3ba8d3b)
+,S(51db2e94,7e75c9d5,4ea07ea3,35942071,5987090d,b81c3b99,40b85684,2b0f0bcf,70967acd,454e6ce8,ad015f45,e0578940,c95dd818,70268d0b,9782a595,9a1462d4)
+,S(84e0b0fd,b16e03c2,cae53675,4eb3452c,86ef07a1,ba278abc,d5aeed37,f71a3151,5a8e435b,53a4b51e,2ea659b7,1f3371ea,dfb28579,8b062eda,300664b6,d3b204ed)
+,S(ced68408,c2b01401,fc039059,5140ab68,14142b7e,d69a64bb,e6ec5d85,be833367,76ce2478,28d2581f,6779f723,327fa83c,8cb10451,fc34625b,d069885,3cfad07c)
+,S(8d860f70,a32921af,6376c310,bf5093e0,572e9b3,44e9204d,f5487554,c4f5484c,6dd24078,cb9f8ea0,eeaa4f4,3f3cf99c,890966c,5da8fe0f,9cd70128,88907cfa)
+,S(6223ee77,4e56b9e3,da6e008a,eb3ba06a,40bafa1e,84383ff5,65f98286,d9095d37,ebcec7ec,f750cde,9ff7972d,172340c3,c324d843,f31db269,c3f35a62,c5f15f36)
+,S(326943a5,5e7b7ca6,951a78dd,afd00e10,c8ca7f6f,3c01a038,ffc4fc7a,20fe2c63,b3bc5a8b,c87ba023,ee22bb4d,3f92cd81,787f2af2,4ecaebe2,67fe0a86,21c5d201)
+,S(f69b5d4a,eb0b550f,851f601c,92698789,f9f94821,47a0ade8,c8a19fe0,5742731f,2a74e8bd,94469645,c8a328b4,24975dc4,93adc83e,4baddba,6c41e10,3b58e90c)
+,S(f69a5a88,b8f13bef,a987194d,6b00a79b,7e576749,3d180fe0,32a1868a,26d853ba,6eb589cc,9c51900e,a6d99110,206f60dd,cbdc368f,5ae8dd48,cea05218,3415cbfa)
+,S(c00ffc9d,8a57cfcf,9624a812,dd2181f7,195f459c,3b858a19,864393bb,1d1a269e,3097e10a,d6abfc0a,3fa039fe,952034e7,6bda4fc5,c5614092,b124ee3b,bf55f87a)
+,S(9c021c49,d6671103,cfddcc3d,8e54848a,addfefa1,d6de5455,e5bda021,126dd183,4fa1ad18,81362f4f,f0587b52,a7a1b483,2d14127,434ffc4,c5bb90e4,fce50834)
+,S(59aae0a2,923bc36a,1a5bc8cb,ea5bbbc8,b34f1504,4671a046,eb3090ed,3f4b2345,659f89e0,faa1577e,36175240,2cf1736,a18b070e,4d4b0fae,9ed08297,362cb246)
+,S(7ba1ee89,479254b1,f32e9e53,517f0961,79d17d81,3ab3666a,75d4bf7a,7113f252,6530b40b,7e66a084,97168778,61cffd96,5eb71e62,e8b0ad7a,7d2851aa,15a26dd8)
+,S(4b0e5728,cef356a5,c6d08616,47c268b4,c8a12d8e,89c2da7b,78e9db87,7b606719,235ec085,a1f3651,11b5f03d,7237dcf3,d70e851a,6dab8446,10e45fa,2996e70b)
+,S(54285c70,315d9a43,a040bd05,70c35713,68504efb,fd103098,79067d6e,765d4499,de233654,e7c05b5e,f144d25c,6d539157,51e83ce,7f88dedb,7fbef11f,d6acadb6)
+,S(ae15f764,d20e4eba,b95c3463,402a2159,fcd21daf,fa831b3c,e47bec08,9bd43da8,474c4cb8,afeba9e9,3f1d0a2d,28911298,939328e,5e364d44,68c64cf4,fec2eb78)
+,S(6de8743a,68c42b81,ad069f2b,fc1482c0,204640f7,74515924,441ebd9c,917e3974,7ed602bc,16300648,86ed0369,21936ee,aa5e9764,ffc294e0,bcded12b,bcc86f55)
+,S(7e4951,dfae38e6,f9869fd9,6d058847,2a38b0f8,827052f8,46195e21,44213a47,6fa2e60,a3883383,f8efebc,f39329a3,b7aec31,2958510a,dbdd5a72,728035be)
+,S(1f7eb5f4,47d53537,3d29770d,5d7ed36c,a2d2a4a5,550d8bc1,849382fe,3847df55,5a351374,da5a804e,3b995d43,49560f7b,aa417dab,936860c5,baa252cd,1753f25f)
+,S(dcc1272e,b31560ec,64a4b53d,24727bde,da576493,b571b5b0,aa7bb3ad,e8b2dfb6,567e08e7,bde60e6d,a614f321,a9cdba4,1b860f41,387b3854,603a8740,f93039b2)
+,S(3f4e219f,5014414a,3c757cd,28120043,3cc199b,fa843c40,b344b32b,87dc7e7d,dba2099d,839e9c1e,7d7d4c0c,9444e956,168e2bc,4df1dc52,bb5b4da6,3a8283f3)
+,S(dac6f264,74fee94e,dfbe9de,cb2fb88e,272ff622,4d7f8b86,3076337d,6d37acec,1bfc6855,5af0f07a,c9329ed7,5549560e,8d3e0c67,753d2673,eb6706b5,27a0de10)
+,S(82ac1fb6,5a975de1,4bbd5709,9e2574d5,ebf883c7,7f38a7c6,1408dd3d,5e49b33f,a6d9dde8,b43656b7,9ab5d880,f3af2ca8,b70da7dc,251a7299,cb236b1d,75276c56)
+,S(19a59ade,a0da1340,36a533b8,ff202a58,55b9182f,b19e8b79,caea80b0,9e263706,58030bb4,b17da5b,1879a67a,12c1d929,88cee2a5,d8915528,26456762,9a99f256)
+,S(27e8a699,eca192b6,7a66b1be,5b290e37,1ff8e912,5afef253,134af2c6,ae709ead,54ae6059,58d036ec,959d789a,5316c70,a09db19b,179e5d4f,effbb057,abd87eeb)
+,S(25e6cdbe,5d7e37ea,fe2b51f1,95cac707,a2aaa70,57fd5e78,8fc926cf,76e65466,576b2c22,cb6ba6bd,6acf0eae,79b52ee4,1fdebde,25293347,d624973f,e9b66be1)
+,S(a0114d87,cc03bfbf,97e96821,2b69c53f,12910c87,e87e7a79,109f83c1,7042dbb0,869c33a4,cec89d65,633bbe60,a3cf7b70,1e5c83eb,e7c229ea,a4c279a0,4203a9f9)
+,S(e8017e4e,806557e4,61ea997,f5f46e72,9fb668d1,e8faacc3,5804c35b,6d5cbad3,eca21b4c,294ed18d,d0df0dbb,771b8bd1,659c2eae,2c843f8b,bfd3aad,f44a4070)
+,S(948209cc,528dc6d6,a406c996,7d7c191,19ab5142,679ac9ba,afc5098d,4d7c83e,3cc37cf5,1aecaa1d,ef14a2bd,cb6a1084,f3e60da0,9fdc4fb0,9d9f9fa5,84f14b25)
+,S(10f4d6e1,c141dc53,fecfbdb0,b39e3e8a,c7f5279b,dc231fdb,55b25551,df90fca0,4f5e59b0,9c6daad5,80adde67,1583af4d,fae40d52,6017d5b2,9e798bca,6917e735)
+,S(66361888,5d081bf3,9e9fc4bf,a0922dbf,dbbe8eae,451c199f,9aa844f0,71a327e4,f31b98f6,48940706,13a086df,12416779,a5c16ad3,7cf885d,5f1fdb37,1be94cce)
+,S(6afc24bb,ae6cbfca,b34fd467,f23a31a4,4a0a35f6,203dd7b,a881ee5f,f340db5,7ab76f2f,6bada7ac,1e01c930,90c741fd,90c41fa6,943aa804,ff960b17,3ab28cf8)
+,S(3551d572,2eff7d0b,275e310,d1466a70,2b828d8c,fec039aa,ce629aa1,2a9c23a6,b58af71e,1f9a6cce,c48d1fd1,18902a21,7f1e7f35,3ee9d794,8133d41e,2d2d61eb)
+,S(e6e8cceb,f6096fcb,8f21cd9e,d428260d,c3867e0d,9c4cacc8,b8900fff,7bd4c1aa,d1b12068,f85e64f,7c9de5ca,f1490bd8,6dabf18b,4b78b5ef,531d9bd4,f64f13a8)
+,S(5cd74a22,d46e7769,15b3c84a,492fad11,8790534e,dd8d9bb1,e117a6a4,78f566cf,397b2429,f978404f,ec96a4b5,28db5a,1b0cf9ef,61f2fc7d,470f0554,eed5ee08)
+,S(abeeb656,151fc7a0,fdfca1ae,fef91a7,ae156db7,c433178f,be6fd700,991e8b86,e2a10216,3a8bdd0e,8254f459,b573d182,eb55f2b4,969a3f80,267b060,9f208a8c)
+,S(3f9702ac,3b96bd4,ac9412cc,8f40d5c,99f4d7b9,d211bd2b,18c6f96a,ebd2f958,e077e28d,8f171626,9488fa5b,67a54800,b0d5a519,4384ca56,f9836b87,68e9821a)
+,S(3c8e54a0,d094d63d,60aecab8,675349e9,f229995,587cefde,eaa1f50,cf3032ac,e77aa94a,fd252860,3bff0189,f11d5f93,fb26fe86,dec719b2,f8bbeda1,3cf38ba8)
+,S(8e88168f,41689167,ead8ca79,5ef784c9,8e3cdc41,43a0ff8f,2891d476,98387bee,fb4bf21f,343fc6eb,ca6fe337,ccb7a7a6,899bb29f,d2f60480,ffb0a187,e875b00e)
+,S(d5c7df6f,31001177,f2e88aa5,43276617,7a598335,cf6ad98a,e55a6d66,1b75c1ec,2edb20b5,47b7c233,23d5c4e3,295921d9,9d98854,e780f4c1,e756021d,79f1b035)
+,S(262b9c58,75087b02,490291f3,963160c,c1f5a3a0,fd6a905c,25c98bb9,f7268514,c7e4ec06,b4cc77a4,ee551a5f,6c90ea97,4a0b2193,f1b828c,305a0fc1,b22e5b81)
+,S(cc94ea5b,a4fdaa06,93976b76,893dbd92,f602bcce,822ff271,7a13bc2d,6b31e7b1,c81c01ad,f2ff92f,5c2cc42,f3c30091,11e6901d,36c9af9f,9b408df5,c7460932)
+,S(b21abb23,4c435197,5b73471e,3b2eebe2,f537b95d,1b19361d,31ca4e63,336b0066,db02da36,73e62e9d,e96e1bc7,b79ef4ed,49449c29,7f4f0330,227dabdd,5b4c3d9e)
+,S(ed130512,5af211bb,28118dc7,fc22b8e,8bc2554a,a19a8c7,16f69f11,a03df1dc,fa146b3c,2e0eab2,bba69407,9ee3b6f4,2f64dab3,9c19a1a4,256283f5,bc0886ec)
+,S(42b829a,96989e82,37e48200,20eca1d9,61e487d,a9c6f9ee,60586dad,8fcd0e83,c2e164f0,29b6cab0,14fe76ad,82ee7372,78124cf6,5f251c9c,c260e239,50ec4014)
+,S(15f09133,fe57a223,e2c9ad79,dadbbc7d,ec85df2c,6af39fd4,a156eb0b,1602a13c,563206ac,b190bc2f,c7b24d2e,ff376cb8,64102efa,12f7be73,84898cc8,76a12b4f)
+,S(b8446387,4262c03e,312eb0cb,e562f460,8cd4f65a,75b099d0,b45e0de7,8398f5bd,da730acf,79fa0282,a3a29b99,7a0ea45,ba0896e7,598be8fb,8298aaa6,9b94640d)
+,S(6a926c00,ef4c32f2,52d9f336,29fc708b,e21f571f,1f320ae8,6e6c46b8,9511fb95,9106e0c8,2eb9fa36,4a84a2e8,8eadc9aa,9113927d,99adeb61,a2ac5527,5de9a9ba)
+,S(fd6cbc21,9ec03dff,8f3d00e6,9de0c64d,30ca5a04,1556d0d5,87339b0a,925d064,742ce8ed,a4b47eeb,29883606,211c453f,fc15ae40,174e1c74,656a78ee,f3a85e8e)
+,S(6fd7f1b7,61116218,68e1038f,d5f341,c43b61bc,b6ec53c2,8d84b321,ac664274,f681256b,947a9492,5b8402e4,26ef8d53,20c65a29,3a7758de,6b7e3f45,a9d635d)
+,S(c28c2cff,1e418550,f73fb839,58c1ca6d,4c616c3,74a67978,d4dd71c1,99902ac5,537d774,83b1ca9,50174ee,381023de,cc210f91,3a66615c,b242829e,e3285285)
+,S(89458f8b,7db2cd74,346b8b74,759088,fbf81591,5fa1e97a,3f34ff90,908cb183,9b5b21fa,378f50f,dff2e276,353179a,c0a6e43b,13373940,c2e73e20,106742bd)
+,S(e66ed94e,793b894,552b3893,88a657d8,55ccbb2d,f9ae0061,2cc07244,bfd434a3,8a6a17f5,da95e907,7b03192b,eba324a3,5595b6d0,660851a4,7f9e2259,2f093275)
+,S(8c7e4ce,f5dca16e,620d6690,ce3b9337,8000ca08,e73eac21,deb5deae,83359160,29a44639,f9a6b8ef,990b72c1,5ca6f539,31000a2f,394b59c9,36542992,7959c505)
+,S(a0d1611a,807750a2,45c68132,2f7adab1,9b81de3,809a9a82,ac038294,b732bdb,c6e35357,246fec0b,ed0c5491,24f13f9a,a01fe39d,e7630357,110a5878,90d9bf95)
+,S(c1cc130c,474f5ebf,e4b4e26e,a444d5d,7542609a,2bc65a68,9c6453f7,9dcf6ab5,deaba85c,f0f7f9fa,cac2415d,9f82c62e,9caf457e,fc9149fb,55bd8f2c,32f74ea7)
+,S(d6dd2a36,763b77e6,259f1305,43c8262b,784a268e,45adcd26,efbd6d54,afeabd68,2987d048,9549cdd4,c27222a1,9562b005,56dac521,1e67d052,e76266bf,fbab179e)
+,S(885cf8e4,ee0498f,29a7f3b6,a2420629,4a941f56,f3d852e1,4641a604,9415c49d,b1002bf3,e34ce44d,54a18be5,3737d98b,28ad0f7f,31d9bc37,ce31279c,fc039b2e)
+,S(8f0c57d0,3d85979d,5bec7346,1f0a3b7d,540fd0c3,8d8a6775,fde2ca35,ec8a0d91,86a3f4a2,cc4f934a,8b833cfb,dbb96eaf,159e00ee,caa0871b,235e4f8f,97bf542f)
+,S(53456583,d2f4d9fe,1a13883b,7775b363,3993c9ce,6bca547f,d05021a2,d36cd366,92cec0bd,cd83312c,455690fd,d715e41e,c29cc70d,f5eb2e17,7f0b2caa,f3b5214b)
+,S(a5ac3a28,fad5cda9,200bef2c,454b73ee,bbc853a3,e8b2ff77,111ea25e,5f3b5359,4951843f,6e23b9ba,60f326b5,d6b13f1f,f49e8b3d,b399be4e,46cb3ab5,7ef10bec)
+,S(2ec53b3e,6d91835e,d236898f,8857a64c,4d898098,9af6ba60,392b774,6eb99ad,e21f4abb,cc05952,eec3fe34,f02d64c7,e7a91658,b0b11b14,118c3489,7bb2a2ee)
+,S(5863f940,a45c8f5e,a2361500,84c588b8,a7f99d26,84121d59,9073d38a,69494c38,db422c38,41a2bb32,98390c98,e9f4c23c,da27c64e,a5481870,b33a2bc,866852d4)
+,S(3492772e,d177b4a2,5f9eed03,7094c52b,aa72dee7,1c5b315b,70948dcf,a1975a64,c5a26844,26418929,b5bd1488,49b3241b,d0eb5243,61106911,1fc32cdb,29087562)
+,S(4405762c,ba4f63b4,2401ce63,120c3599,af37ac13,d2de044d,26d830,9e664a4b,3143da5a,8319bf4d,32941d58,e9bda807,74c58380,ad8c3a33,460bfd85,36d9baa2)
+,S(4894f457,1324691,8f32111,e1bd94e8,a43f717d,74e8c465,550e864b,9ae2a16e,9c89818e,6f09fdc5,b36c65f7,12f26be6,40598712,fefda799,4b200967,7de01ea)
+,S(620abc9d,4efdc1a,55edc41f,29834528,ca87b333,a8678e8c,205d6817,cb7ec3cc,f524cc99,9e911d67,dd0e8bd4,3e003ec1,64af288f,3135a602,4e93856f,8110f867)
+,S(d69800fb,9fe61ca8,97f77226,d42749b,1274176e,29bb85a6,226f91e1,e8c62a7b,43baaafa,e10649d3,ff2bb0cf,10c58f8a,f01fd3f4,1a06c245,a4e9c483,8bc9e3f9)
+,S(87a12e5e,d002cacf,f55901c0,d374f81c,ab9da24b,80e1fa9b,25f038c9,38344721,36586bc,17aaf4d2,5d02ae3e,e9f98235,f9d605fc,1954be4a,dbbcb917,1f736d72)
+,S(a0af0d5c,bfdf4fa8,98a3ea89,867721d6,3178341b,ba30f091,946c72af,bb876624,100f795b,18dd85c0,9af012b2,5d7d5d1d,5118d02d,3837fabc,ceab0b23,99f98e43)
+,S(ac94b41,7becf857,1248a94b,a853f4f9,dd47284,157e0b9b,1756c4ca,fb692086,cf94bf3d,d0c7f89f,acf8f678,5508e510,faf27a33,10915d99,80b9fcd9,62f75c92)
+,S(649654d2,966fb2df,b917367,e2ea4034,fe886725,3711bc40,8520d5d,579a3481,bf8ac886,a7550c40,29279fe1,c4d330d0,89935427,d6967412,66d79ec1,f1a2780a)
+,S(5f7776ad,e73826a7,fd2969a6,1511141f,cbf6fb11,23c8d7e4,3ff93835,ee1860c1,9faebe0,2140468d,4564f7c8,bfe4f097,dd0ba493,8656fb43,ea9f0f8d,22089e5b)
+,S(f5dfe7be,f4c42f3c,e91fea18,10402c5a,9072b001,286a7371,35a00fd5,c71e2f17,9787d33f,821a0633,ab1982a4,f9240b53,38a5644a,4d203b1c,6b5cb212,3c837b4e)
+,S(d3432817,3f33fa7,e517d6f0,408bfcb4,6a882c0a,6d78feb7,44f731e7,4e1bed23,bc1e6ff7,cbdaca91,edd419f2,e80e617c,506bf8d,8acd4548,8267938b,813a281)
+,S(a4420846,95528dde,2c52d5ec,cd67266e,3024865a,c6e812e5,1ef4f780,505f9d2c,4a721caa,63d62b9a,c23ac717,7a27e27d,d54e5ff8,aa204bf7,3e6b3131,3ccc31ac)
+,S(b3818c70,ea29c1bf,db63ba44,1e42c842,11f9d2e,4d6b07cc,79938d3b,b294b820,1b2c711,a98418b8,15abf79,44fa75b7,db8965c3,1779d4e6,1967f009,8c005d2a)
+,S(3854b55b,def18a47,7e87f62e,d7607c6d,aa2e737d,e0e5015d,de7e90e4,570d43b0,2865de79,552c68ce,4841ad3a,69376a36,9d74d55a,98c35d25,f97656a2,fa22785b)
+,S(e2e805af,78bf592,6a37fac8,7429f6ad,88c45522,e58e5c9,2bd2ddcb,e893ff33,c2206185,254ef80d,fcc7365f,1dee9a3a,cdac0ebc,d0ce6a5d,4c9a6875,f07a46f6)
+,S(37510b86,df2d8e60,10d40e34,77af6c24,47f2a41a,fa35ed49,224bee62,eb0b77c1,1f30b802,6a3288d9,714b33b3,7a09cf20,cb754f09,730888d2,a09869ac,1e905ff9)
+,S(14b2bcad,c5272c56,8930c574,d745fac7,d190558c,121df6e0,c2c9cc1a,f9662fcf,baaf56ed,f70fc0b6,520bea13,a8794d2,d397e935,65841028,6dafdc16,96caaf3b)
+,S(2984937c,e3d6a155,7a185609,9e44bfb7,28dc6d0c,bd8c628a,23a383ca,3f38082a,637c5e4,9b0943d8,e09960fd,2375770c,5d4dc4b1,3ea460df,d5ba49ab,fd6339c0)
+,S(e64f46da,d9b9e7ee,3d2878b2,f604728b,8203a591,d02e7d23,721fc436,165918c0,f7ec0e4c,9f66adf9,98b8e41a,d43fe3e4,7cb9be23,6356ef3,ef5b9a23,711e1140)
+,S(3f587c9f,1b88ca37,d32af584,e510609e,ae113e54,8d07fbb9,a34f6916,908f686e,37712f53,41485518,241835aa,d31c45b6,f5370c6b,238380a4,ddbd0755,17b2b49e)
+,S(8218250d,b1ee7484,b8892bdd,53be130b,4b5d3db4,7c3c9e36,5a17baac,5d8654a1,f19955f2,a7f954b9,2050c815,8e801222,8e77405f,c9f0676e,76ec2e4a,f3b93bf)
+,S(5ad1a4a2,55a22c56,e8d17acf,786356f1,7ffd6453,262980f7,188879be,9e1eaac5,fec5d2b7,ac26e4f2,d4d7af01,b49295c3,3a969fd5,28e3aeb3,90e86bf9,85093dc4)
+,S(1c92ee58,c5226166,c313b491,5c731d34,739068b8,f0241dde,6f0d7151,243304c6,5dff29a6,1197aab4,c1ac8a25,625c4dc1,11729680,15f03488,b8a4baaa,d541bcdc)
+,S(fe622f9b,fd9c4ba8,8c80c82d,d1a07bac,c1c9da11,996240cd,50b6a41,f6f8fdc3,666e59ff,e9efb9a9,b7c36539,ac948438,f1de235b,fbed8fe7,3a084076,39f6b901)
+,S(b2e8301d,ee34bbc1,d95de73f,b947bbd0,325bb3a5,555738a2,8fbe4e3,601a40d,6953963d,3496413c,53ef500,6def0fda,607d9a9a,319cb93e,22d9bfd,a0c3b807)
+,S(1505e140,4644537b,56da7114,5efd34d1,566ee38f,dd4b549a,34ff312d,5cb9bb96,d6440284,c1ba972b,413f8c12,7fc40001,39954fd2,5ee4993b,4dcd5e3d,a2b843a6)
+,S(7a524409,67918e47,53b451e5,243c6996,c053fce6,1f492995,8d2bb84,9fd1088d,e089d973,19788a2e,853a3067,c4a98c59,4fce75cc,a9ba908f,37780e1e,567b7284)
+,S(69eff8da,8efa75c2,ab052d71,e898a975,c58a074f,c46fc6b3,2b385e41,93ff5a30,30e873ca,f0e7d1d,e58713db,cf7c5c9,6c9f068f,e0e3d1d6,c3863d44,8da1cca4)
+,S(64a5649f,2da4eb15,1be3fb68,b1210cca,61b32492,60225ef5,53426992,95e6d6ec,8c53c12e,8fbd7c,811d4a85,95787105,4719c5fc,368845a1,6b8babba,1d92f56f)
+,S(ca23d56f,46ce3458,d95a5b24,d998188c,3ed76a22,2034b337,933c4298,8c804fdb,efcbc7c7,d0d11fd3,ef1c0ac1,38d1a2bf,d0e94a85,a0700cb3,630dcaa,426a4c43)
+,S(630b2d2e,62bf28a2,ebf80f2c,2bb10cc,82014ee0,c48e15a6,4cd691db,dfe8a55,908eba92,e889f132,4da0f927,9c1bfb74,dcf16786,c9c8a964,79757a79,d4443e9e)
+,S(29b5c3d2,57674ebb,1cab5fd0,56534261,5a059eae,c8002aac,c000a857,a7b7c840,e7724381,f3f1cd4d,198a06aa,33b7fb9a,d6acdd57,45f900d7,be34fd6d,4f6dd41)
+,S(f4b9c47a,2454985f,e732c151,3216f7aa,f5de769,89344c0a,4b8b46fa,c15508db,9c51095a,c45d901a,75229288,fe5d49c1,1dbab43b,9a030cc7,c6d71bf8,9d097378)
+,S(af0dbf55,79f3f1f,91847143,99a09fff,75c8922b,48213c42,1cb17d11,2ab7ac71,56e7f5fe,e96e464d,50cf98b2,90a04917,430bc2c6,72a411a0,842149,8fe23d66)
+,S(7ddbb2fb,f5d68e,6acf574f,1fba12e8,323e06d0,b6b80cb,1b9e9368,5543a8e9,888670aa,f057a051,1738d69d,162ac2f4,9074e5ae,d28cd6a3,a30edf9e,e874d7ed)
+,S(43612257,2c25dce0,4a0273a8,a83890da,3a27848b,103d5ee9,1f0bb33f,ddf131c8,62cf1a80,7bdfeaf7,7b9d90bb,ec403b7a,b4261e04,62a16c58,5c9e1435,afb177d3)
+,S(8691a20c,6df3b947,e173735b,d764ce9a,4a7773b4,4b4276a,873786a8,8e5b0932,974ca0c,6644983f,e4288afa,a80c03de,fa8d9215,c148a63f,1a1d4aef,365d9e81)
+,S(7376518a,528c1190,b95cfdb,ef241485,c84f34d9,3690041a,e4d8b0db,295fe87,fcd56fa1,3d5cbebc,ea197636,ad3e7bb,f9faf472,56d44489,e7cbad3b,ca9e01e)
+,S(9c5e491d,838b7471,87eeff8,f44ebd70,d6087ba7,fa2b957,8302e46a,3e5113ed,3e312d47,a32d61ee,f88dcb4d,aa38b024,7327ba59,cd377798,75bcd10c,2aa13278)
+,S(884a9710,9e6e95f9,9a52d8a3,7b91480,d33a95e2,4f385ecb,d9666bc7,ddad4c63,f39408bf,4f27f2f4,ef65b195,b231edc6,c50aca83,60d23ff3,32b1c3e7,149e8d6a)
+,S(f99760ec,771c8f39,d349fa7d,19b0ff65,bfd2ebbb,f2d4707,eff2d646,4beca7fd,d71a5750,a9737ff1,bdd2fbbb,9674905,5508c2eb,ad22aee3,6aff09f0,1fc9d996)
+,S(f2cbe279,98214502,77f79ae5,22da1671,452c8e94,27562e3e,5d78fc17,9e758e2f,8334d592,9b50b714,a50ead97,6fcd8b12,f9806edc,5da45d8a,a226e029,282ab52d)
+,S(df67bf7b,861d0636,30784bd7,f9a472df,6c2db3a4,7af8d06b,ea3665,cceb76fb,e939458e,513e55b8,7e4b90d4,3f073e47,620dbdec,d7ceb425,1353f4cf,a8d20624)
+,S(e3f17365,4bb1e860,d1812852,c67c0095,50f82b34,434c5326,d5864884,bf64fcb3,9f07baf6,ae6b8c28,e8a9d807,22a97f51,bae7c98b,daa09578,5a2d1fae,3f359139)
+,S(1cc073f8,ac4fe62f,e311eb31,42bd357e,45ea17,a844528c,7261bfb8,24642103,52303125,ef059a48,142036a1,ab6353cf,90a021d8,30a936ee,9cc4ffc4,91f514b3)
+,S(f6b037a4,9394a077,7483c0ef,326e694c,be4b01a0,3accec75,629f7224,7fce7f0,f922659,25e4434c,4054ea7d,d4bdebc4,d3801c39,be53b037,715c6ec2,88b34db3)
+,S(74966556,eb8c4cbf,cd364f06,b2bac116,5b914c76,d394dbf6,b5f2f7ca,14e54207,8ef7ffba,85b9eb27,f444de36,86ce67f7,75c8eb30,5bae0c6d,1962c839,a88202df)
+,S(44d3ad0a,bd1f2ad,30957e00,594f7738,18777896,9b4237cc,d61931fb,a564ff35,af69cb36,28168fbc,f194f55e,e7691ca1,88178a44,2e6bb250,84c6ea77,a3d41748)
+,S(7914f911,b6956f5,cb0fa063,bff4ee00,cb67058,3dd4eeba,daa4e445,97f816a1,a61b333a,e72fef24,a47f48df,90b5384b,b25b5f8d,5530a5e5,117a4f45,43948fc6)
+,S(65a31bd4,10c97121,dcf656fb,55a71c94,ac34ba43,c3219b1c,86f19f56,bda94c38,a2e19092,35d8b549,b1926524,132a5220,e26beb5,f9d87ddf,f46aae23,dd8834c7)
+,S(eb092b73,5b789bfe,9a466b70,3801b511,aaa33260,407b8750,cad24563,abaafb49,ee29705,18088ea6,132314c,999ee924,5f50346f,c7a9d114,169fc20a,2e6b6a42)
+,S(38574e2e,8ff7d427,3870b6ae,d859322b,deac3824,bdc1ec6c,e34d88a,8d92196f,a0a6691b,4d770ffe,e5503d61,bba954d2,f4185860,19aa60f9,303f3e89,9fbbc7d6)
+,S(5e555cf3,adf0d5fb,530f87cb,6fa753bd,e2c09d9b,d703a899,f27d2a15,a051a64e,41bba138,c76d1e98,90ce88be,1053bd3d,559e7118,4b900aff,c048a494,24e1768a)
+,S(4e8518ed,92b06242,b0f28b2c,e02582db,e5f908ee,fc660c63,964f5e88,95b509c9,9e4fa860,cd07c071,fea0ccdb,f1b9284e,393d9f61,45dc4ddd,5ded2dad,b8897e5d)
+,S(507d72be,dc881de7,86103317,77afe208,69619a4c,f6cd3012,e04c8cfd,2029b562,2f2ec47a,963f7c86,de8497cf,fa70846f,22dad843,29643444,706487c7,d9999da6)
+,S(c87295fb,299c6f1b,410f1128,a1c88eb3,4467d0b3,df7dfcd2,18fa3819,58df06f6,2977ab13,5abd0c43,ef791c18,5cdd6b59,443ad076,5f190cd4,77620227,dc38c479)
+,S(5f9fcb3e,2d7f842e,22ae0d41,48d74b9b,66b8d98f,fb66e4d0,1f279be7,931731ef,523a9ed2,a911ec36,87619cd3,f7ffde07,e11a2b19,e90771b1,8ff86170,a747193)
+,S(42d833f2,b9717832,1b9174ee,75127d0f,5a850a63,52452942,56fc4257,f90f74e7,fcb299b0,ed234bb5,4f0c9ad3,e9a87bd3,f4a83bd9,916c9050,6952df68,f39dbda8)
+,S(cb173f92,400cf477,47ec4ce9,f9852778,6636247d,55279b52,81388daf,99b77f68,f9d99960,1e669f8a,d8283ced,317eb2bd,5aebe201,ab97a62c,25573a0,65b28e0e)
+,S(a73a52d,a2ed0dad,e9943a25,8e6a1f0b,6b2b772,b010d81f,a6eb3bb1,61877d65,71f7bd19,7e9d575e,25a4c592,92061743,2cf69ecd,f33705d0,3429966d,956a2e58)
+,S(209411b0,398bdbaa,7412b2b1,49162c31,da88d9c1,5dd4db67,8ab3e19,c90a8415,1392e77d,af6bcf59,3162c8b2,2e8ff0b5,4ecf8e01,4fbdc743,dda8f061,ba8a24dd)
+,S(74590b3f,a03daf8d,537d9eaf,410b6c61,780f4146,44e7360f,7d6e2710,3c8a6d9,d40fb53a,1f6768ae,b4918201,54dc85bb,62c5ee68,614f1e3,b6cbbdb8,e182d9f4)
+,S(cd77abfc,78148f0e,1acc919d,e3afeee4,2cb6fae7,5f68ce7e,cd31e3a5,adb54544,a46dc809,f9b1d0ee,4ba8872f,95166de3,87b08a0,b68b3622,492841d3,f4c8ee1e)
+,S(ad1d5f2f,ef4890e3,5d1916e5,2dc6bac2,612d3b0a,3511ce92,94262b7e,fe2da353,6aff87fe,3778f197,ca8b1a67,9b8f89f9,69fcaaa5,4ef0a629,c0dd311e,ae83e568)
+,S(de45c27f,fdb38ff3,a91c0dda,56076875,be8a1369,23ef5a55,26af8829,c9a17705,43564551,83b6ec8c,48c1daf8,d8f0cacc,4b3bd932,5d6e5adb,89368834,2ef5ee90)
+,S(deba00f,aa0d172,a6bf1c71,6d280e2c,8c8e35ba,9c15f0cb,ae574940,fb78883f,2b282f66,c9499232,dbe30521,da2298c9,7a0dfc43,562ac5af,74eaac20,1d2dd708)
+,S(eb95be9c,eb4d5db2,ae9071,e5dca616,dcdffd15,762dda32,5d13b576,f6532b04,c21f9054,d504aeac,79f98cda,de167ee,60e8cd52,bd44e4e9,3d66e2be,a9867741)
+,S(a2849585,a2d9d78b,9da83fa0,cdf7f4b2,62c29e29,876297fe,3ad3bcc3,691acca9,a165f5d5,9ba43cba,816ddc9c,b33c4d14,e4f768e7,96ce32ed,2f711127,7bb8c720)
+,S(e5a492b8,cae88b61,c72c8772,eaf6de20,40c89597,a4c4c703,85c28e29,62bdad2d,a0dd4bd,8cc5136a,184fd7e3,aa025c2f,62f85693,163e726f,cffa37e,2be168c)
+,S(875a7369,7940cc11,b00b28fd,c72b31f6,19c9018d,5c261af,f1cef7e1,be71b61f,93718642,241a4e8b,22760240,2b4f4e1,fef54882,1af31e69,cd45afb3,427fe8c0)
+,S(39a301a4,69836ad3,f98d7086,24b53106,fd9d9aff,c1253059,f45617d6,ad6c0c7b,a7f00229,6ff382a6,4bcb9dd1,fd9afb5,4dfdc2f2,bac962c4,8bb76603,7224a403)
+,S(8bc53451,922203aa,caae8513,4deadac8,10c585c9,f9fb44bc,57113a31,9474f090,a4bc9c8e,8ea5d122,54a6cecf,aa46b791,68cf14a2,280c86ca,177871b2,abc65b8e)
+,S(796eec76,37c1fc11,3ef31366,dbefc78d,ba5735a9,28505c0c,e2a22ad8,b447b1bc,11e91c1c,f9195b5c,b8948081,7d8ca5e5,f0fa07e0,19ee5566,90da195b,c5eda060)
+,S(ac52e134,1b531c25,60efb2eb,1c0c79b0,d1f3cb6f,3bcc4b16,6a7f701d,7d5a60df,4415cb74,b2ca5b76,985a1386,2278f53f,871813e2,905e51a,cad23265,64efe34f)
+,S(c231c57a,ed49f271,2d571e10,fea59a11,c4d427c3,4a67b024,b4713af7,d2288d69,bb4ec242,6026ce7b,56471afb,c4ed8772,dada1335,61d07981,907d278e,70ce398c)
+,S(1a1b76ef,11f3d64c,5670f06e,7354fc4f,a7c17129,75ed3094,b5a6df78,c8c03034,600c7a61,188e6ea8,76b8bd21,b121ee22,ba9d50a2,d2ce0fc3,d836829d,1f829430)
+,S(82b4e49f,2d9d49c0,f409ce6,13b65a5,c031c8fa,adb3ec8b,62885760,c69bc5,67b8cfb9,56b80bee,5e5ec168,6cbad5f5,cddf38ae,3bffcafe,17d242ab,896fca10)
+,S(bb3201,8ebb358d,575cf58f,c08426b2,f7116d40,8cd2d779,9acf6c4f,55de461f,8f3205b3,291c8da0,b0ebab8b,ac292913,12ad3a7a,83ac3ff1,6e6f55d0,445f22bf)
+,S(fab9cc75,60a02c8a,e916bfe9,b61cce9e,32d37203,8b42b58,150db6a7,cdd40a22,132d8021,8e3b6ced,e6b3060,5812823b,80c7f0ba,f369caab,8b3b7cb3,bbb477d1)
+,S(9f96535a,bbd2b21a,bf41bd19,549528fe,1353724e,cfa3870b,3df3256a,661c7e47,b8acdf49,a9783748,40232e1c,9a0f6854,1547b7d6,d1d60bb5,c321a1b6,54fee431)
+,S(60d4754a,2faf463d,f7b0cc2b,ff4e6495,ea9fa9a2,e2f1f4e9,d773301b,3d406daa,43d16225,6bddfb93,3588da3e,511ec648,5599ef3f,7db3a1c8,899c21ea,2fc91936)
+,S(3850610e,10a40ef1,5aaf4d4d,b11ce214,7c82a449,ea965cb2,5cd9ad46,45ba44d8,c10cdca4,aa919f20,4ab148c7,2eb4e6f3,7939c70e,e134433f,5c70e45c,fc30be3f)
+,S(68089586,3a26181,a6966055,1ad8d431,9d325533,70839d17,fbfed5c7,fb84fab4,a0cee277,97d2ff7f,fb7a6805,604eec37,4ef4182f,a163c53,15924f,287bd447)
+,S(aee5d57d,17a9167e,9d3ff19e,8eebeb09,7675b709,e3a89ec7,38280b9f,ab9404da,154f14e4,f991644d,aad6d858,940a6126,5a8f1c1e,ef6071db,5e138081,5e2d34c9)
+,S(8f3362fa,659c58a8,2376ab88,c921fe2f,2c8a5de,f36c057b,3154800f,bd493950,5f88cf3c,3fc1ccc2,2105f3c7,8ba7b8c5,525a9fa7,7cf76976,8906d0e8,caa64408)
+,S(2bfce32a,9d69a14d,324d8f94,15b42f87,25f5befd,ba3cc6ac,2a5c7778,f23187a3,f7e88e0,51ea8e3b,788e18e2,95355b2a,75fc3c3c,e62f7797,d3b02681,d6a3b63c)
+,S(62984e62,5d026f0a,c6c82fb0,46dbc152,a05c9a22,3f55663d,5cdd87d1,e094022,1dadce42,d6b68fcb,19439f33,2d2db167,f33861de,28cd303d,c94e3a8b,7b26964e)
+,S(15502824,b02a10a1,d7b13137,4175bcb5,6b70f796,fd3d0713,42bdee98,99d8a057,b391d51b,b2b89dae,5b687e16,e2ce1351,2296130b,e86a7d21,c1d3c6b7,b20eca57)
+,S(1bd98bca,c0ed80d4,f23422d,c32c5922,1164ce33,55526ea1,61e1d9fe,518c0e11,6b0afff3,b0fa5029,b4e9731a,fe772fca,c0e30c84,e6c652e0,f22dfd41,a9cf0ef1)
+,S(4dc9e532,d5543e88,a59872fa,24b99968,e649977f,9ea08bdc,303ca4e,d574bf40,7c05536,d9181687,133dec90,43cae3af,42dbe034,af05a746,b6de1ef8,20276947)
+,S(3e92be78,d7c7db61,1049827,42b0d213,672cc543,c27628cb,f5985c19,5685f3a0,171c3afe,c69648e,7bb7912f,fdfecc4a,78cfd246,a4fe1263,e5eeedd5,330f84e4)
+,S(57b6c4f4,75bb9ce2,2086a5a,dfd5473b,73b0f6d6,278afc7a,16854e6d,32b2842b,4fb4aff6,738f05ce,31ec7934,3638a717,3806d347,c11afd82,e39d492f,b961ebb)
+,S(571ac8b,835c5f4,a7457344,e8572910,309f0d3a,26b849a1,b3bca2a5,28771b59,317ae805,3aa2855d,aaec95e1,72f4005a,6ae09ce7,187590b6,41fc13c4,9bb4cf9f)
+,S(534c2141,e38a7880,bf146951,7d4ceaf2,a25bf5d6,a538eb1d,4161461a,ae54c4be,59dc6548,1b056dc8,c3e98364,ce6b76f5,fbc9c501,6ff24e0c,1c7bfffd,306b03e2)
+,S(7a761f86,3a224193,157d3d1f,8fff8a05,e5c13366,a7ef7604,2cd3a1ff,f9f936f1,20e86bd4,5e93b784,f433d6a5,8056c6a8,e8d1fdd9,e924fd37,bd5b16fe,fa0ece9)
+,S(c1497e7a,b9373d32,4bfe813c,32aa9dae,f1351351,c86ed382,fd3d4c5,6a54f62c,9401bb9,1621a327,2c233004,d6a8093d,f812ee66,604eaa86,32085b3e,482eccf8)
+,S(2dd83787,e31e7237,f49a570d,adc675bb,147b91e1,3910f22c,e41bd16f,edf3c0bc,10148349,6883687b,7ee844f6,d60ee90f,1aeb7c0e,c9f83293,be96eb2f,5cd6d46d)
+,S(938f1399,18a0fe3,55ddc7ec,d6dacd34,1d9c996f,9ab4f9d6,90b435e1,fbc0a74c,30c71b30,e7a3c244,b8a576be,9e527e6e,60d1834d,17908e6f,a0771daa,92517448)
+,S(e71217df,430dc65a,d188f6,861b00ac,c3214125,447d8e26,7dc5473f,9471284,8f27019f,114e542e,96eb5121,b7c3e094,f18f6287,f2cefd9e,6a5290e8,5e1dbac0)
+,S(ca2ba87e,4c040efd,c06ca7fa,50cbe414,b66bb2e3,ded2bfdf,7744f81a,91b102fc,24848b82,4019bae7,4cd7604d,101c4819,6e808ecc,79db885d,bed68354,ba3f138)
+,S(c267ce5b,633c7f12,1be2b297,45b4dab9,ff488b02,c8f89ba8,706948c7,77167ad7,16184a77,954c3b5,f9e330f8,e8b308de,1489ebe4,bb9ffe59,f3f545da,e7748385)
+,S(1eb9af42,96d58c44,bd6fe2ff,db05e0ba,1b5f581a,af842883,5a47a050,468f8b33,f88a1128,95e53e05,4e514117,5a2c54f6,a235cb08,3494a7a,991fba4a,fd0bf1b2)
+,S(ba342b95,76bea3ec,15aafca6,2f4f505f,c35bc2ca,64e2f4be,22323b77,1ee39062,91be5746,1fb662f6,cc28e73d,f0dd61e5,20cd3ceb,2d6fb0b3,39a76e5a,39114afb)
+,S(f3a8c7f2,86117118,a4714895,eda7f401,dce4be87,dab4d4fe,b55068b4,c948b350,1dd2f669,31f0ec62,74e8bd53,97cb6b50,d97f9238,2603c931,8ff1c6b,18893bf0)
+,S(3cc304a4,3aa02bc5,25437a89,977b8ee0,9f5f997c,56c4d317,f531d22e,4a60f55b,9ce121dc,cce749b4,78823adc,c9a613b8,aaf78f5d,c2eac8b5,d5ee6aed,592c7bae)
+,S(e5be6c29,b9f12f42,1f499fb1,13e54bf4,4a577fa6,d8d0dcd9,6b509f65,1b4f3587,7755eecc,721bdd9c,c6e8c96a,d398cff3,c03e77c7,9e34dfac,1f51873b,8771d40)
+,S(f933bc46,f296b780,4284de6d,5bbeed68,bae90bdc,cd731cb,b9519c05,278c7fda,b6ec0484,faa4c53a,630a8b81,e1d567dd,543a4e55,4e89ba69,d72646c5,7ab3740)
+,S(e1d21ebc,297edcc2,b595976b,2f65b2a7,a6797cfa,3e5abd27,34e2a962,dd2f507e,aa31ee8f,4c80a0fb,9e52f32,c7e4a69d,fbe8d297,8dba479e,b0c9f4d0,350012fc)
+,S(c3cf0aa1,8e45aa16,343c52ac,41b12278,f9899b46,e17ef9d,d7b67f75,84a1eb72,174cf510,70418a6e,f83b3db4,97102ca9,5bd99985,f2554e5f,c32cdefb,ba47e411)
+,S(e6a90aff,6e1f0311,34f93967,538040e4,92120644,8e8e2106,dbba6f5c,701700f8,93895ef2,1d3513e1,19228b95,86289c26,f3efc024,1ac2c963,b394cb87,265638c8)
+,S(e2b695fc,8f1856c6,131761e0,9f75a558,94a4a7a9,2837dd29,f8e8a474,7a9b9a91,b580a2e4,240724d,5c5381df,27a17d72,4d0e638d,958c0a27,fcbba34d,da5361d5)
+,S(c0660a14,6db599e2,15f813a9,f267d6db,4542a696,9b08334c,6bc80558,ae518063,6a901346,6bee774a,54ec2f97,47d7a8d1,e157a13,fcde8cfc,57e48d84,374f6ee6)
+,S(5c41cced,2b091fa7,df1f8e30,3d78b117,842511eb,41717b59,f776e05e,39daacb5,dc4964e4,d91fc985,af5c0f87,f0026a6e,290bb1c0,b181fe2e,195f7001,52509f40)
+,S(6abe8574,49cbaffd,d0e5fdf6,450484b5,f8636170,5c8a0a59,a3612dc0,8d0d52a1,c669b059,3a5fadf6,86b9583e,7fecc9f2,c5eae967,9eb5be36,a2018337,64703bdb)
+,S(560dc0ec,2d407e81,4b5034cb,8d26c8bc,7c86487c,f74e2fb9,a076b521,f68e22de,faa241bb,ee929015,b4183152,5aff5062,3a270bfd,6026d94e,c3106e3a,e66783da)
+,S(f3ef40ed,8d82c02,a141b953,e8593f06,b74b244a,b85edb18,eda3e693,3c8f90a3,aeaa6d25,6db6b12c,d9a6ab5b,d6d0d854,62c0d298,5a772648,db46b614,3050d4a7)
+,S(413e0fff,df030385,248b1fe2,1bebedfa,77c1cb86,d665790b,21914da4,58a4479d,6fa9db70,80ab1736,ee7d54dc,e5d1b545,dd17e3f4,45b39038,595fe180,2b34b443)
+,S(ed3c5ee2,cf1cc502,37e5c654,d903083c,6fce29e,cda0f427,5a6e1ac,940b8183,fd265e79,3474e60,109cac37,a867bb81,d8ba8b8f,94b13f08,c409ad5,362492c2)
+,S(b98e14a2,3f5e5d6a,a99ef39f,18e234d4,42102e72,2e330d2e,e654b328,e2f3bf49,67a60b41,8e820ef9,72ffa57b,1e383b1,35585920,20434df0,e443c318,89734499)
+,S(31bb6293,28793b42,dbafdc9e,6a418c51,f0a0cf0b,6da96879,11a6f046,c146e475,1bdb131c,b14a3d85,a532f889,89112231,341a546e,c88e8a25,8bfa341a,7826512)
+,S(79b2d26f,f257ac80,ca67a639,9be17ff1,8ea0c10d,739b106a,a9310754,6ba0b252,e09448ea,b102b1cd,654b6e1e,7e4754e1,c63d11c2,46b0ec5d,31df6175,6b99e850)
+,S(ab8cbf8b,c3a740d3,c1bfc2e6,efbd7ac,f444795,cf2e311d,edfd5c2d,124d55da,70599847,895f335,a8bd33f1,811201b9,a860555e,8cde2a27,4c348b4c,6ab449a5)
+,S(f6b7c2ba,c5468fb1,cfa0785b,f67972b5,36367ef4,d3dc9ef9,25e88085,524e6021,663be56d,c325b2e2,3753bf15,1f6b2ea0,2d6a62b3,a3d5f565,2734401c,9c661a3b)
+,S(f5d2e04d,229d784,d7af5af3,ea65a35d,637b404b,c431ca72,1bec7fa4,dee33377,16c90231,e570a434,700fd8e7,cae5f8d,fbfda2e0,e234ef23,a2e82452,a0a953e9)
+,S(4df218c9,4277fac3,3ca43921,e29fba57,6f183e74,fa2ea781,88b8245d,eddab853,7828e929,6c589e6b,1d80b036,2c9bb0c9,2c2a79aa,378c597e,8a64b985,d6e4d108)
+,S(60e1cbc2,78d4a0bc,b7973b32,964da674,9e2b3448,24075a0d,1db93e51,ee3414c1,cec0aaa2,3db6c3e,6d6c3189,c2dca9de,8ce91791,a721ecbc,1f09c7ad,468ee8c5)
+,S(1e7a9c4d,a6cf3251,559d58eb,bafd1a7f,ee686c72,8b1ad271,d9da3b15,6a9f3737,794e3bbb,cdc0df3e,b9669a10,8a32d7b7,f3fb843,388cc55e,aa893f64,ce1b960e)
+,S(e8984316,5ee703c2,a413c7,2a5c8ea0,605c0b4b,58cb844c,85df83c3,b4f361b0,69fd6f89,5cac1716,f0bacdd,5a880f12,f964c2cf,1cd402ee,27ccdbcb,5188b64d)
+,S(2b95eaae,6078c535,32a23225,eb9821e,c7bf864b,75187df3,2736459,f0797e4e,aa6e1922,b5102e69,77fc23b5,ac2de98c,edcbcc37,54c928b1,7c7d124d,980666fa)
+,S(403c1933,59ac9027,7aed0f41,f9ebc507,8ae553a6,ec3b8a4e,4f66a841,19d221a0,edab5156,8667e7b2,c7793e17,839e46e7,85a6c7a0,8af7295,8e25b411,13829ead)
+,S(fb182399,c535de2d,556ecded,54e42f29,8c0054a6,1dea2477,9df1c7c3,bb53e1b5,7bed179b,73268027,4fa6b227,d13763d8,4fa62dec,2e351ac2,d3aa59d8,8961123e)
+,S(9375a9d3,ecfff9b4,b672d90,45aa4872,f61c3b8e,4cf86a38,7daf74cd,affaa521,41c7bd13,f4e491db,77a42bb8,d65ba77d,f03acc6c,cd789759,37486d08,c3f691d4)
+,S(abb9554e,1b68c554,81d8bb12,5b426a4c,433cb110,79254f8a,ddebabd2,9f5be0c7,946d680c,1bee958d,32089353,41ceb7ee,5b4a8168,a6368a92,e1ab1050,5d0e76d4)
+,S(56e8aa51,37b38531,1e5e1097,4df857ea,b4f7e53d,11102021,6463c212,ebcb873d,b51e1981,7eee5672,afe7f688,92ada73,abe703ac,4e19770c,97dac300,8d3b1632)
+,S(ac487fb0,4b00962b,2b098cfc,4f22eb28,e5007944,d32a136e,5988dd47,d9828f5,bd305529,5f4200e4,c5e6238d,76665bc7,67ad8402,dad13d8,6c6fb316,a214a5c)
+,S(1dd7562a,ce273114,660ccde4,5f41d690,11621bce,56cc49c7,2016f19f,d94e9e9f,a8e8861b,ef664d9a,c19391b6,5bb97715,ef677199,a373f255,876aa9ad,d8a93043)
+,S(c198019,cda66df3,2bd528db,e3869d6,1d1d7cae,57ced846,eebcf1e2,bcceb8c3,b0a9c52,ae2b2625,7699d3b1,861474,4d66f09f,8b795d81,acd3e5de,902b247a)
+,S(950f54ab,3cb421f6,95404b53,9b1f4936,6b43e61c,7bf9879d,168027bd,f58dc386,e14586c,7f005f5f,21e122bb,2a35194,d5d2fcfa,4898c279,cc296b24,9b48b2a0)
+,S(5b20af8a,31b69820,a56d0df0,c7374c8a,37805449,81e0c017,83b4ff49,2bd40ed9,7e49b8a1,c5bbcb32,55991da7,99613598,cfab9d8a,82f731d0,dc2f52a1,6ec39c55)
+,S(eb8a10cf,3777670f,437f55c0,2ddd8681,63da41ff,5b534c63,ffb23ac9,ecaed755,99c18d8d,df2ba9a0,d46ea92d,8b983f50,c16f14b9,86b955e,a577f332,10533df2)
+,S(12977f3f,d75a9c72,81358c91,73664b40,8d8ccc98,45153ede,c62b189d,8da2b176,f24f505a,75761c5d,939ad836,17f0c6,dfd8a2f3,fea04721,9078e2b2,1aa317df)
+,S(7a591539,ff4fc3ce,2e2936d3,50d753fb,131ba419,8d034c65,e76d0744,c159096f,c95d8b25,52b3920a,6341ef43,5e3e797a,446565e0,652a562,7e0674c7,ca243425)
+,S(993061ac,819fde52,ae500ed7,3277ecb,fd08930f,8adff61d,f5f9c3c6,cca49640,d54444ce,748f6058,10051838,52f0073a,8a5d1477,f14111d8,b623a316,a67ad06a)
+,S(cf807c40,c5664fbd,910a31bd,ed3cb7e5,2e54d1ff,ffcb4b43,7a579931,6f803051,a5d21e6,6fa9b5a8,2882b77b,ca66b6e4,163d579a,d245d089,602274f4,55ca9881)
+,S(9c0119ba,461d003e,c6fb7a01,2bb32b89,ec819d97,8fd4cfec,ca1c3b2f,1f14f0bd,b41c5fa,ce1e9a54,f1605e84,61b5e6ce,c11590c0,15838059,2c511360,f4b537c4)
+,S(56ea3259,5d97b7f,d7f9fe51,b525d73d,3d77d483,f8bf8460,8d874d25,aed3da3c,f764a40,2cc9278a,f1ae6369,e1723bf5,f0a15a47,992f8fe0,ae33752e,473c3058)
+,S(2851e3cc,2fa6752b,e0a65326,46aa8445,71736e1,d22a01fa,ab3becd6,50460acd,ad778ace,631584df,da4730a4,20242779,81f9f829,cb18b20f,8ce727b,d62d64b7)
+,S(1674559a,528fe0ad,5aef46f4,eeb4e0ba,34b8c2e8,c23d3409,5ec1e164,ef351979,afaef98e,ee2ada75,7be9675f,fee76686,d2350972,a9d1b80d,fbbc0719,efc38b21)
+,S(ede70ea,37946f71,848d72fc,7a98102b,f9c167f3,219671ab,1843b5c6,8ba6d7c0,920d6108,6929e5b8,30c4fa,eb155b4c,9d324001,59d748c9,d7e74980,d54be37b)
+,S(fd3b1f22,c5037c8e,93f4f9ac,27ea723b,3d3e861e,694ef349,dfe51f83,50ac9fa5,cc02effd,6df18244,fcbd177,a624ff17,b0da8fec,fd60624a,3d066be0,9c466cdd)
+,S(72f037df,352a4619,729bc550,e23ad7bb,6f2d7977,7d39ae36,bbc1d45d,d6e864c2,c4bfcde1,2a5cbba3,7e047070,5937c2c9,da702040,bf49cb5,c762d60c,e8fca76b)
+,S(f17a9b25,601ec8ef,e320558f,ca832789,d0d8d558,76ff7c53,6af0f84b,ca799a61,c90583c6,2a863567,b0d8c41,e47c3d8e,7e196a1,9269a409,31a1eab8,f1402837)
+,S(ea9fdf49,9e201fbb,b0a26a71,1b9be2e,dd17b2d2,b96390c,4aa2dd00,83bf5c86,64322654,c8bb2a83,ab0cb743,eb907234,d8503fe7,381e17be,c17bad5c,d33b4df1)
+,S(8d5d6f0a,24aa6e3e,7dff42b9,ab8b22aa,656788b1,1e18ca35,b4ca6f19,1d50de6f,d509a2b5,e9800d5e,a7d1d047,e945e693,2e5c1923,59bb0210,1b2e8956,33e0257e)
+,S(25ebcc4e,84a1d22c,f0a8c980,8252d96,7dfd528a,808ea293,ffcae94,50e1fb81,3127af8e,4012c2b5,c92e428,2e455de1,681eb1b2,6e660fcb,4ee8fef,b64c6101)
+,S(c55c17a1,dcd8fa41,8a3edb5e,c2da8678,4fed0840,522b24ed,4bcb85c8,cc45c20,7d583091,25261489,44b56fed,17b07906,9d156fa2,e9bdc462,eeddeebe,68f4f463)
+,S(f4297f59,21a867ba,1e58b9e1,def633f1,18e058d5,a7889721,f0e4814b,7e63ecce,a39f359e,35a123eb,5fb66d81,f117858f,b0557859,aa2c388,a8298d11,43f137a9)
+,S(626b0a,cbcf0e7,daf7d218,74f72be4,8d824883,4428bfee,f82ea516,c2d1b98d,74ae6867,1c27a642,53a36590,5247cbeb,77173b07,2e429de2,3ce09730,8d54ddc4)
+,S(8ed35ae3,c02c5db2,acb516f3,2d3b6823,61964f2e,701889ab,26dc9512,ed40172c,aef4c71c,e241be56,63a091d9,e230463d,237e0717,78b7b6ba,a63688c7,6c694334)
+,S(5b082ab8,963510de,46c1cc49,4ac6d3c6,dfa25f33,8627a00b,6b98121c,73899ed,cd8b2b84,185718a1,c4686ff0,7cad18ec,fe3d4532,9537910d,31458086,c280bb32)
+,S(deaf505d,b08a282,d5274de6,43c5719d,f51827e6,2ed035f1,74279276,7ddc1158,c1067344,5e4c0d47,ad1ca85d,713a5916,1aef6960,9294d738,103b945a,e99ed1c4)
+,S(eb62dcb4,d820019c,e865129a,28b98b5,be6c6e16,a80f7c76,db3a15ee,31ba7aea,e78eec22,be4a175d,68b2257f,c5adbe46,fbe31c3d,5eed4736,2304d80,ae4577a7)
+,S(6c58cb64,7ef638c2,337cfedc,a9345837,597ac142,577b2230,7d231a3e,5a9173cf,563008a5,7b823427,60bbc400,5f604024,92f0bcf0,2ab2430a,5d7accc5,b62cbcd0)
+,S(106d8978,775a41b1,12f07815,7c3bc5db,bb5980d9,c745806a,b5ca5ede,8b468d51,bf960349,6f7d7906,141bc4fd,b1766102,e8dfc49f,decb469f,75dbc54f,21338dab)
+,S(cd6124f4,21796b6f,44c34982,8b536ef7,44bf30ec,6ca08142,e959a35e,c0385224,97ccdb9f,2896e815,19bbe9e8,ae491e61,e83417c6,6db8b6a9,bede3aca,f6608ea1)
+,S(2918b2d9,b0bd83d0,b8d02815,59219c6,bd708e2f,2139ad0,1815b1ff,ae60e03c,f322596e,c56984f2,e7b2ee90,8a9bb56a,d213f84f,3088aefa,67e372f2,76e2a233)
+,S(6d3fe999,acc04d13,2462f14d,680a90c9,89b747f2,3601d779,507c36ce,8c2acc7d,a6c7413c,36b6399e,58a443b4,e4137ea5,551a9fb2,c5397457,9d55b48a,5df0e30b)
+,S(bd74ac79,8b320aaa,e3e51123,9354d4e9,280c99c2,809e88be,13980305,62d55d52,73477881,9b9067a0,78b40108,38ae59f4,3f6ef064,ba35209c,46a9f0dc,aaf84597)
+,S(303f6cbe,866b4574,9d282217,1f571fb7,8c54dbfe,901f2f43,681ebb0c,76e5700d,b13dea58,d3dfe08,7fd043f5,8e63e565,85230d6c,273d9e3b,22145e39,afd6ea4a)
+,S(3bbb0824,16a2e3bd,e328f013,154f18c1,4e840030,707057cc,f4fa0fae,ff56181a,18b214c7,823b0cb1,76375146,7a49bb8c,ddc0047f,782e3802,be12a119,ecf0f480)
+,S(ef42fcbc,999a3f80,b4e7319b,1fafc2c6,49f51845,2e423c55,f57e5e1e,f8338adf,786ffec5,60464882,48641155,38aac187,ced4678a,cee2b9ea,eab6ae61,ab2061e2)
+,S(afb21e4e,c095bf31,34276f4e,f1a4883a,6038c20b,a7a87ba6,6288bb1a,3bc6f77d,cda832eb,73dc0e9,fb77315f,6cc7a313,2212c7b4,1075a290,d5917033,62363bad)
+,S(329c98f5,a40b81bd,7d121b90,78b50bdf,bc16c9bc,47744368,34a5208f,20d39d63,dc14f7d8,4bd2a1e7,22fdab98,1044d6e5,98515df1,7da5536c,7a95866d,8231a)
+,S(6929a4df,e15e7ac8,e8a9c5a9,3544af51,aa621dc7,ca04038a,9c9cf603,8e081754,e1333f46,e4d1f151,f2b8c341,d2ff90cf,d36cf73c,6f441b4c,5c0ae272,6a25fbf3)
+,S(f40fbdb4,27d2d68e,854cbae0,24ea5980,5948ca40,e3fdfcc3,3efea0a4,57e2bc24,33493d84,41c8945a,9e291b58,5e12789,34990a7f,5fec49db,ea1ff605,4bf8802f)
+,S(220417f3,d9fb32c0,1439e473,d638856,9b169c38,1057b780,c9de7d12,e30dd796,4cd93672,5abc4e39,89e64ed1,af9b3d4b,4732ac76,a6c34d6b,23274573,8d765a1a)
+,S(dcbe3dcf,2c0120d9,4d6336ae,6158bdf2,859cdb03,8c76ea3c,cad4ed11,13ed216,670823d9,73c74725,ce929318,c2ea650d,5feb7c33,c7831a26,821f2614,7db7d8ee)
+,S(34de2319,c535a31a,87fd9b70,33c363e2,8ff754a7,9e0669a6,37230443,228ab3b8,31c65b12,cf6f4a9d,662238b0,c8ab52af,ceb96acc,35b90b2b,81667b8b,dfd9895)
+,S(f0fb2bde,a5626729,720ff432,542c5e41,abf0fbc4,772aca7a,75b882ab,2b364acd,114edca0,74520c9e,2f5b8059,59c5273f,25d2e621,d2f55709,b42d187c,932b6bb8)
+,S(90477ee6,a00742ef,78662c11,f3725077,dbda7b66,7ba55b55,f9bfea1a,4c5f88f4,467196ec,638d137,33971505,f291dc0b,b9d0f3f8,f284e3ab,9035273e,d9c7279)
+,S(ecdef6b7,455a41ff,96cf943d,e489858c,b7abc526,e41d463e,b24a56f9,dd6eeada,1116e7da,9fe72782,e8c656b,9f677c5b,dfb3e46c,98957c30,49efd7b6,dd5d3258)
+,S(58d30bd1,d8dbf5d9,885b6e7e,4f28ceb8,381415eb,3851a031,ef04b073,65e16598,9cb96ab0,546246fb,f5cc0878,7b99db0b,26c9bdac,184a0eba,728fbd26,bc880480)
+,S(a7587d1b,771b3421,f56e342a,cca98e7d,82c7dc60,765a481,53379da6,fd341c10,9499ba9d,8351d194,213ba35,43d4b563,aa28bba0,9a6d8811,9b55f389,90742929)
+,S(8aa99d89,9db3c7e1,c28bfc5e,18abdfbf,d9fff46c,560e4fc0,cff65ce,e18ae6b0,aacbc2e2,bcc4ae58,1e354d29,617afee6,20ced0ff,859c62b6,669cf2e0,565a9bef)
+,S(45d81a7a,b4158aa4,2e45fe7f,3966d278,75f8647b,defa0c8d,a761ebef,894ef249,93a76905,d0e785f2,db52e09f,573a461f,183f672f,9f10005a,eeed6e0c,d40d31bb)
+,S(de19bc8,6fddeed9,909eff4,80b0760b,66a1a245,82e33be4,55b8061b,225942f9,6eb2c1f6,f604056a,15c4e91f,789e35b6,1a787abe,aded0f30,abd2525f,19486d00)
+,S(653f0e92,977b7830,fa546dec,44f05549,80f5a9f6,61f2cecb,7e360efc,41d16380,58ba9f7a,eb7aed3,40b54d7a,6f9ad0aa,ab5eaa2a,7715d8ec,48d52ce3,c3c57128)
+,S(c05441fe,2ddce6b6,64270b69,83d44d5c,251efcb8,2bce4665,9388eb3d,537acce,cc82b7bd,3a049b06,98feacc8,11a1c9fa,e95181d2,50c0c62a,55a6d662,c9587d65)
+,S(7a569bc6,a089fbd,294dd5d0,b10f3a7a,31b6bf39,42ee97d0,49c9259f,7adf0a7c,2399d17a,f6207b8f,20286fc4,78896af4,5e596b09,7c97f662,9bff0c03,14db53e5)
+,S(1c4c7a37,4e14ce88,fd08a1b3,10025711,7d96878a,e173d29e,1ac53a57,1d6ae794,919f9b82,e827cc78,7352f0ab,99770e97,bfe1b600,40cf1034,b7c5178b,3d1104fe)
+,S(fd4ef218,a09baf70,57b53f65,2ca1e2e5,8386e867,521dc998,1bd4ffdc,619c31c1,b1d2e716,64fec6d9,3cc8bf17,70ab5f10,a49a0497,ac1586b7,b8299f7a,e92354ce)
+,S(f012612c,1f933373,ac30413c,1b2cfb9b,6582957e,b74e4de5,29c0267a,e7552a41,a38b2418,e7ace7bf,3a15035b,a68f82b5,aae49192,5783066e,f0f0263d,6dbc86fa)
+,S(8e0d504b,c9598eac,c4bd2726,8b3ad24c,a22b7534,32eb5a31,d7e54948,d57f6f4b,50f59455,ba1ea3a,5a0cc105,a1c40c4b,72637a31,44bf9438,a1e3b52e,7b30911c)
+,S(8635604b,89ec22bb,b3b4e266,3e76cb3a,976cc78e,c7db31fa,fc16a7ab,411ed197,8a11d457,6868d117,4f41c40d,4c82d27e,3960d57d,4b1309a4,531c2617,b1d90227)
+,S(aba7addf,c234513b,3e861382,654959c9,984628df,72b2a896,6459b3c4,86bdbd2b,ddec8263,bfdb4c38,c9e7fd,e4693b0d,962c6e5f,a4f9eb9b,9561e81a,f04a3a3c)
+,S(12aa3b40,44f699c4,8ff6c598,8a7ce56,84f3af85,8cf2ebd3,4d59ca7f,f7501895,76397e3f,3c42935b,6a42222a,525c2166,7662ea00,25decbf7,8a856391,a03956db)
+,S(e01136bd,da38f328,af447a50,43a48606,a1ab5a86,b3bca98,b13a53aa,c7061098,76f3fc47,c1aedcc,bf26ec5c,4f6ad56c,fa163212,65844d01,8d2f2b94,184b64df)
+,S(639cb266,f0672340,d0a789a9,41eec287,b60c380e,f2f62f96,41b67137,4b286aa6,d381e7bd,5dffffd9,50645e56,63c36d91,83210038,d70df2ca,4bbb837,e8eff508)
+,S(eb12f18c,89a6d2e6,5e07d20f,f7acf3c4,b903ce68,5237aca4,5692c0e0,f6a4714e,d26860ab,e6f97745,dfb01cf,f6225c36,bf62e5dd,24088d54,a6d44384,e9eed86a)
+,S(8fd06b6d,96f37c6f,8e69187c,c5ace64a,6e36b45e,37de82b4,872731cc,8781e941,e7dc3254,3b40599e,852d4e9b,e35a5438,ff68b063,3b81c8ff,c2f3298e,931e9e98)
+,S(d248d914,4ca3f10b,3fb66763,713492ac,93b42781,9119683f,bf0e0f08,1bb6b241,e7a2ca15,f1867e9a,d19ffdc3,f1a20d0f,2469fa6a,e04f94be,a289d019,c405318c)
+,S(ba2150dc,15884df0,34a64e20,89023947,687d1322,475dd073,b163a4bf,4eaf0740,af92a566,a320a0a4,34095dc6,f02f765f,4ebdf04e,d81e2c04,a86e6e2e,923f8c94)
+,S(fb12f487,225a6843,31e39309,3133f377,a6f841a7,f6f90ccb,18ce3d39,48b56616,e3358a9,406905b7,d6bc0a33,6a89a5ba,e62136a5,4135c3db,bb32f115,4cf92b9b)
+,S(bdeb3e38,7c36bb9f,c45a1d62,f7128217,20e6d0a6,55a285dc,da87af3f,f59e0644,b23fb389,3cdb280a,43275691,3c1de5fa,6da12909,c0ebece7,12c9da49,69a3cb29)
+,S(32f3ecc5,925ccc13,f753ddc7,d5c0c576,e80402ab,ffc6dc77,6e8bf74d,15735007,f950add3,926bebef,9d8e3a5e,4d0ebbef,24b54dfa,ae7c12d1,32b6e973,dc67c050)
+,S(94a725ed,e57e5162,817d95b0,54e2732a,3afe3a6,52ae3e46,ca9de38f,6dd9f0fd,805f6634,f8ba79b8,ecd5f46f,74b741a4,de5f9678,d29b8cba,eec73498,27671f67)
+,S(22197e54,d35357fc,ad20f6cc,986216e7,f24e6dc,cfd9bb89,3e5c1ee6,9a99b3a4,b3e7edac,abb1d1c3,d375f361,1f04a927,9d2995c9,3e18e7fc,4b5dca90,a2a3fe17)
+,S(a51664bc,5a1edd2a,ee8ea644,7beef61b,419e20ad,ac955847,5e1d666b,1b4dd52d,b8a95fad,e3aeac7,bcd8670c,78dd1b2b,5dcad225,277ca5bd,f24f131d,94405c39)
+,S(896a11cf,f9db64a1,aef51088,baec42d0,16dd5a99,98262f71,a005cdc8,ae8cab78,7a7263ea,f64962db,bd09a278,a3958708,e61c4858,1a759726,c225471b,20899077)
+,S(fff75552,46da269a,2124d03c,677f59a2,18b995aa,e69c85d4,3b29f81e,5201a757,dbbf1558,6670c191,9da69467,6e8906f3,80eb3f61,34c656b2,a4ccfc71,4b3223f5)
+,S(89da8ea8,56f946d6,6e9b07f3,db5b2ca7,49a07e5f,78b59c1b,e52e46b1,3793e198,25889e02,d2013d86,6653cad2,7b3504d1,4e547343,fec74a37,a3ee71a9,646a36b3)
+,S(d260dbae,6ac3e8a1,442ca7b9,8f7118c5,7d6cef72,783c0b3b,a4ad7e7c,3a8836fc,e00ee7fc,95131cd3,3a446bf4,c21b85cc,45a8e61d,2d9d6cf0,287996e2,77b7cb6b)
+,S(bacf90ec,75ff002b,c1a259f0,3c9debe5,9f5f9dd5,cc0cbff9,e8fd62c,4552a619,82dedfc1,42202786,a7a12a29,22937c0c,23bddd23,4418979e,78723ff2,6a9e5e88)
+,S(1ec23fa,995a22ef,53a91dec,a5b2faa9,514b5ef8,faf125ad,da61f84c,5b13a397,1568ab1c,cf75692c,b7d41c53,2dd4427b,ed7043e6,cdfe01a6,2f9bcb47,cb97435d)
+,S(48225de5,eb07155b,dd86e759,9e172a3b,b96f69bc,ddcdb051,af2dc769,f4450b1b,856ce939,b81d976c,6a6c249e,c0d087cb,36e28082,ba050de5,4948d92c,6693f4aa)
+,S(e9ac9963,16c1ff8e,a7d2bbf4,148c8b3b,a869d4e1,290168f,b3831d6b,3bbd164f,2b1ac664,6bc87e3a,e6914792,d0bda8b8,5cfe1107,3d0447ef,e4a65acc,6eac846d)
+,S(8af31ba2,af0b68c9,4290bdf4,b4b80345,5f52ee89,f4ddbc98,1dda1000,9c1a2ec2,a37cbc1,a5efc09c,dc944f42,a66a305a,b302eb17,21ce5088,a7deb46b,5223f0b6)
+,S(1d211de7,d75d4389,4cdac235,9b0b9e40,6b71b8a9,8c0583a5,7d7a0056,b3e88779,3ae4bfde,20f83eae,96982e96,62d65443,4359b2bb,df249a85,c7c83b95,56d7679f)
+,S(be6beeec,18aa8d77,20100975,3dc7d745,c6d49f9b,ea64ebfe,b8fdafc0,92a192ac,c9e14aa2,4bce41e0,f444030f,ddbf035d,e808bc06,63a70593,454ba287,4ebe50cf)
+,S(b126dd86,555491a8,e2ab601b,2f133960,d86a7f9e,bcd2c88a,cbd8764f,1afee3b2,d22ae79f,fbc60439,baaf2c2e,418edb77,70837ebc,a909322d,b5580c30,27c20821)
+,S(857b9c62,6350cec4,f928d456,7d30cad8,6f1cfad,142b338d,74a137ec,61212791,9d3dc070,f610ee55,cfb9cfaa,4bffda56,52f7fd18,7f354634,ed4f2dc,d27f9ca9)
+,S(bbb7d30,3e242e87,2e94e3b4,27197ebe,5252c363,43ccd8ca,940202ff,fe5775ac,f2b5b210,a40d1fe,140f8638,3a5b0f9c,96885d5,d9857a3d,252523b8,d59d33f5)
+,S(3e90a10c,a61bd12a,fe9caabd,e52dafbe,8bcd332c,e0ff8bd,7718b685,89e26447,3a4d342d,fec7d557,7cc52bf9,d7c60537,50150146,8a05baae,7b562dbe,b626a952)
+,S(dc1f2531,d5e0d304,66b963fd,7d09524f,c66e6bbb,3855b6d3,141db170,9af05fa4,f1644b11,e8291f92,4884d3ea,cf89d857,fc98c3fc,e49fef96,7986e8e9,d67c9b0e)
+,S(2b4714d1,fd0aa7ab,6c103ae9,19493efe,4a503d5f,beba56dd,93a8c9db,485c1dad,d65bb3c,47efcc3f,7484b6c0,9f51605,30542a81,d1192ac7,5d506c43,16f41220)
+,S(c9ffd7fa,3b14fce7,c2946111,e940ab3c,8199b7e5,40bface2,5d8e3b0d,d1a15176,3b40f328,a4539bd0,a0b71e5d,91a881c8,87b31e11,453d9f5,82066f44,ead8d5a5)
+,S(e019b0e7,6b4221c0,e45d387c,6ee41bdd,ed5e219e,a7069b73,d92b6339,2657c39e,792691b8,4c8748a,cf10475a,955aaf5a,77328c6,f03c2e9,bd1b20be,f363f368)
+,S(51e07e1f,e8dc56df,f6394d1d,7f2887a6,9e7959bc,ca10af77,cd54064e,6268929d,c09b86d6,6837e473,574bdf95,f0b99851,b97a821f,6dc622d0,d9c6cfbf,18db5ceb)
+,S(c5c19c69,9a9b6908,4625d3b9,5c6598cc,d1bba7a0,6d4e2f91,88f1b77b,4aab720c,af066357,107d856a,51c699a0,259774b3,352f8c12,988201c3,c71bfe3,c5d8280c)
+,S(7b51ad32,ec4a6df5,f9c952e1,fcabd8dc,7661ec53,2631331e,5205d231,533f8d77,e1346672,ebbb97d8,569a12ae,fea65246,e1902f0a,9cd91894,a4b8aaad,5a02ad35)
+,S(be3059dc,3789e16f,5ca8f6e2,c469f834,bcd3fa73,5d84377f,907cadf9,e7eb895a,5a6fa277,ee5d317e,81819fb1,11f40778,ab437567,48eed726,238ab5c7,f4d6ef06)
+,S(cf75a66e,810f3284,52e09fa3,15451289,e1cba33a,ff1013e,4702ff1b,92b6f587,a0658bc5,8c894702,ec5c366c,5a6b18fd,86269d5a,8117dee3,601dc40f,cc93f17b)
+,S(6356c70,7d5228e5,253f09b7,7020681a,fa64dfd6,3cabd703,91d7f892,d9822737,3241ba88,cef88e8f,98d19fda,717904fc,737a9c77,45838ba3,97141964,946ac7b5)
+,S(90d7f09f,7b8a1232,236b4459,b031b0ff,d5e8c903,36a35f04,94a89615,3baf8554,4a612ce4,b18b7ae0,f3c557e,c4ab51bd,7c32f26b,24d0ca7e,accc748b,3a2db676)
+,S(170265f9,5a3f936f,57a39e1f,a748a3cc,902b1b20,4306c49e,f4485b15,555f80af,d2f813a4,b329da9c,68104a55,301eb7cd,3ff6dfe1,c4aab9d9,d2fb03c9,e7ae2bee)
+,S(2d6316de,37598fe8,ed6e3e52,ac47d442,636a6553,64274692,5a468f08,54377eea,e064f40,7f0d3b32,74a61d82,d7b75006,6fab6447,e66f2d4b,20439303,cdb3a107)
+,S(8c89678e,73f3085a,1a766e14,f566625a,cc29dda6,3eb7bc9,ed1195b8,5fa2092b,12b42d8e,91c9640,b8b2509a,157229bc,a66d28b8,157742fb,a12d7405,eec110f5)
+,S(ddeb928,de6424c,f9ea76f0,abc208f1,16731596,29fdb2c5,c8e6ed28,38ab6b11,b1395663,9ac1f06d,74aef36b,61916872,7709eaff,d8b76905,ca404459,325839b6)
+,S(485e8e44,35c46bd1,d0c2a4db,19b958fd,4a87511a,ad4aae65,eec4f5ba,6cbb38ee,e621d1d8,736d6df5,df2db5d2,36887c27,a93733b8,d3232dc0,95d0b2b6,d0be516a)
+,S(bc527a44,2547aca1,91fd98fb,84ce7b3b,6210378c,46f7bd46,bfd375a8,1b61206f,ff7c1cfb,d3c21616,85d6f405,e6f19e8b,6785e6be,ce374189,4efc149b,b3031707)
+,S(9911194a,7a75269d,2fda7214,21e4e2e,3666ad12,3e76004,b5ff9afe,9ea89ca8,b1f350ab,c87d942f,1aea75fe,6c144ea2,fc5cc040,5c38af56,9ee45413,17c7bd4)
+,S(93226535,e27a96af,7953597,4db1d4d5,4a65d3e9,331fc3df,7f028fa3,288c3189,98007e66,60fc6673,5e8e864,afc62171,49168a86,27d35eea,2d02d90f,e6f15331)
+,S(752d352b,2459fb97,d5a0c46c,3fef99ed,50ebfe74,ceb1c881,b2fa518f,3aa59e72,c6e99a8a,2544731e,d932a164,ca0def49,dbfe4f29,f8894133,ff5eed02,66c4fbcc)
+,S(ab37b416,dd06a595,ae6fe33d,717c4ff1,fd1de2ad,6c58e2b3,660e872e,aac7aeb5,182f07fd,61ba43fd,e11ad355,d7027fef,714c9b9c,364c0b72,1838ef7c,f85d9470)
+,S(d2fa3ff2,b1cd8909,52a0d380,d43233f4,1eef04da,aeac6ceb,46dd8e6e,572d170a,85f3c854,3eea0e64,b8a9eabf,18057700,6c3a6f70,a790cce6,24a3f6f9,5752c520)
+,S(e256c5b7,99ae8dd7,1daf5a7f,3dd94f94,e040d98,291a2d6e,9b398889,addff0c,b4375e5c,82517974,b515ae28,54c83443,e8bf9391,cb975013,727e3bc5,1473b133)
+,S(30056648,afaac00,c1d77bd7,e7b5235a,fea2bc8c,58b34a6b,83e630d2,3036db6c,16ca5c30,6882fd6e,f7d82f93,b25ad01c,eb3e9e69,b8280f0e,e3aef2e2,ec204600)
+,S(8602fe69,d4b1f32b,e8422928,200c5b5,816f08a1,759faafb,29861e07,c5dccef7,59a5ca0,35490ebe,66409e2a,283f4c9d,f6e0a7c7,9dd1ec82,f31f7e4e,4f23ead0)
+,S(53bb9f5,ed205516,36ab170,7afc75b5,6ab3a75a,3d360c15,3b0b74c2,d7d9d64c,77c6c1ec,c7a53dc3,8c6540d4,461757c8,b5f7b66,654fd754,fbfa8f5a,a5318cbf)
+,S(badc41b2,86982d76,e5374b3,dcf023e,dbc1e187,70cd0b2e,2916d436,108a4328,b1694651,a69dfad,924fdf5d,526c25cd,e732078f,31128556,3d42ebb1,3329e2fb)
+,S(15b43026,f5134b3f,1ad441c9,793b9e57,a318d455,fd6f10df,e4b0bb91,5d36600,43568550,60fb010a,6d5123e8,b446a1e7,cfddb6b4,6e4fb18f,245a4be8,f9975a1a)
+,S(fcc64bd,c9df17,4d4e8e18,cad6116,a48780e2,a180f7c7,57f532da,9fdf37e7,ede37062,35eca482,b935410b,6d495f53,12b133cc,238eeb6d,e8e5f593,65601951)
+,S(f394fa79,254fbdc2,7a1b31df,1f868c48,9b48b6d5,1afab542,2da5b1f5,6f3edd2,f56d3d7d,e7f8d9c5,fd45d6e2,cc2af300,fdce3293,9be5b975,9d81cead,e2000e7d)
+,S(3c7c8c54,6b853a5f,97f92932,5558793a,e1debf3,3f680d5,6a79bdef,d4608d91,575771ed,f26feb38,a728354a,6c4023ce,4b019d65,3f7adfee,3c83cf58,9f2fe4a)
+,S(51d61258,43b8d621,6c0880d,f04f34d,9acbb422,d8194a98,dcbf222d,cf27fc4e,2d0bbd0e,ae299afb,93980894,bfbdbdf8,6edf9509,ea408286,ef602cf0,ce3b33a2)
+,S(14b17f35,ac7b5914,e08babb5,5aa37cb4,26d3bd34,f2c1e4f,45acb493,8ef51a65,a9090e25,cd8273c3,15d1ac6a,15eab027,7981f6bd,a85fb082,2b24cc88,2918fbc1)
+,S(59ceb93d,d78ff6a5,f45c5fcc,7c1ecd72,43f2d8af,e4ba8a3f,fb03053a,586387dc,28f4d0e6,38ac1fc1,98aa3548,56f4f19b,479ff825,5d150f29,871630ae,f82f3777)
+,S(273bc0a7,eb63a0df,eea8d7ac,b24a5200,a7086078,388db5bb,37a0a6f6,acf24656,a971405,a287160e,22909b67,357fb63d,10af5ece,f725b1ac,17c7fc73,759936f3)
+,S(c9b5b690,3a45e529,3a298219,cca93e0,52a2719c,25cf2f50,c4ff7f04,5f346475,7db09fca,ff1aeae2,dad001ff,1fca6166,a607eaff,bdfc327b,9b63e2a8,e97f665d)
+,S(90044bea,c8459e34,edf7c40d,2a101b45,66728d1,cf0055ee,c8ea07ab,e39307f0,19763d08,77d4a896,ca9ecbc0,56d405b,5a6ebcce,1ff6ac26,593be19f,63caf6cf)
+,S(6e0898bf,bf6baaef,d085f41,da7e6b93,6b6c9a88,3728dc7,8ce7d71b,fd597b2e,4769146,91587abc,c2f21e05,4542280a,f7260a72,e822edca,1e63c089,3bea3dd9)
+,S(e94563b6,e0156145,ca2ef19f,58de9727,7b806969,a249629a,4f024b99,8a023792,c8949547,a4d25901,f3980cf5,333f65f5,8e1797d8,b42ccb0b,dc550e6d,5909927f)
+,S(3cd027e4,173c2799,54d06c3c,ec05c0d,161a3b73,348db0d2,8c03d097,8921ad64,f0d1a3e8,ebc3387a,ee88189e,c1fb3f6d,5e73e895,7b7372d9,32b00144,248271ba)
+,S(4c96f51,2b4f0758,38335d47,db599db9,a2dfe1d1,6783960c,dedda119,693d5686,4e840262,66897288,9bd54c15,219ae871,e6426b67,afa949c5,e1226bbe,1204dfe1)
+,S(8b03ca2e,458873,963ba6b,c9dcd14b,59fb1190,3f2330cb,22997bb4,19002fbd,2b29df15,c6be49d8,27981ffe,aae26930,7a461f84,8285f561,4f910508,eb865781)
+,S(f4217bd2,32229dbf,39066a17,c2524838,38098362,f0891b69,275dede1,f8e64f0d,7581350a,957f480c,89246800,86c2803e,99ff5037,938e3e19,22e3f9a6,7098dd96)
+,S(247274b3,d5095d63,132673ca,dbf0e418,898468d3,9a30c538,a46a2719,42846bf8,4265a1b7,7d1dbc68,956f2441,9c4d2b70,9e71f6e4,6e24e336,a978285c,22a84f11)
+,S(19c25b9b,97f40ddb,23d62bd4,a298ce7d,befdf39d,327aca47,61815c0a,28d4af9a,a9b5d705,94cf4c7e,b7e947e2,101b18bd,fb9f2f20,fc3bf89d,f5a63d7f,61d3b3ce)
+,S(fb69718c,baf0c5f8,e20ca98c,2fdb18f5,59df27e5,c2a064fd,ffb2785a,73bf27d6,b612c590,4e0b1c54,7beb4e07,82ad2716,84eb895a,862b59b5,cf6476b8,af52107)
+,S(9fe6e793,ed1aed77,d8381352,84890e3c,f817ca60,37ee80df,6646a3ce,9c316a6b,17214a01,99370a88,41717ae5,41d35a4,96f8f041,e9b3fe88,4188f6f4,e30b0657)
+,S(c7f7ab4a,394f17c8,47010e9d,f1764fae,6159b140,578f70c9,fe50703b,aaba62cc,9673f262,c875953b,90558dec,8ddd04a2,6d7d3ac1,672e3d10,c1a3c656,b0318c19)
+,S(cc2e30bc,2d63d4d2,bd0f5bca,8faac99e,a6add123,82d014c1,d7bf8285,7ede2297,cb87a21c,f1efe789,fe72ca0a,b6acc5be,63e6973,2ca899e6,fb9e05e7,72d4d8ff)
+,S(6fe7070d,a78205ea,1f12661b,4538d0fb,60b4bb4,9c1709c9,e53de22e,c3c25d6b,2f6b773d,492a82f7,f9609cbe,e1af3c9b,2940a12f,1e615c1a,801c02b2,19e6b8cb)
+,S(1affe9da,ab5da7f7,9b331e9f,91eb7e3a,f4dad51,2317ca45,3ae13528,66013d8f,2706d2aa,d3139097,73a0febc,191c7a0a,df2ef168,c65e759d,7c034bac,49c8a92b)
+,S(13566dd2,d0cdb199,20a1f9c,aa1ab581,c3ddf2ad,125c13cf,efe199d5,bc338231,b403ab04,67df46b,2efa5b8a,4cfa8bd,97399c87,12ffc55e,cae8de52,d4f6f28c)
+,S(135fae69,9a969720,b1c0d899,790afa99,83074584,da3ee8dc,1e011336,dbc3636e,b4260b88,2dc79423,8cd0fbe6,5242147b,c96690da,c391e3cf,d2c53ecd,2ae9fc60)
+,S(1b05d97,744364a0,5432de4a,7d840834,3ffe211f,a543bccf,71a4b210,3bb0489,d61c9d21,671b2481,a4ca0c36,7d4ea919,ae1b331f,a8aedb87,cc6b6c98,85616a9a)
+,S(2877f026,83a5cb48,7014da9d,419c8b9c,920f0940,718e2d06,d7252de5,5b46a84d,849f9fb2,88d3fdee,de734aaa,3592ef01,483e02d3,62a5e0ca,2ead6c0b,42628038)
+,S(8a7024ce,6348d2fd,84be71ab,b363bdb8,86ec6a2d,29d9cd83,1934270a,27370b78,8f520972,9e4e1325,363a68f4,ad53737b,688c63dd,1cec6cfc,bf9da51a,98b29c0)
+,S(5ac77dfb,2309c061,8f68b320,bb6eb76e,4b0f0792,b8235fc1,ed768c57,44fabb1d,fab11baa,beafeab4,43a14a82,f8d70228,57752732,7b016b56,32b924c9,ccbb1db6)
+,S(aee4edc,93413d53,45e0df68,99fc2193,be318a8b,f279f0e0,56c0ac42,a60759d2,b6a87499,1dc68ba8,503beb0b,8a6c09df,cb9efb6b,a44aed6a,3cd7befb,506119b9)
+,S(b51d3e77,741d0d44,3a67b5d5,67b45aac,2008c25b,5196c71d,c9f910e7,b76dd2d1,431c7ea3,cf4f577f,950d22e2,74b7cfdf,2c2934af,ad0215f9,459a802d,ddee4c21)
+,S(803a2ff,c59c2a94,65d8935d,93d47653,86e5beb9,c8e702a,12d7b565,98a09841,d5e02ccc,5d8ccf6e,29a7fb76,5a257dc9,c902c900,a4fe16d1,53e9187e,290efbeb)
+,S(22c17725,44eef514,5636a398,23e874df,8c58bc6b,6935598a,440ae9aa,5b738075,a67f431c,688d4426,c519be32,9b1dd50e,2c64648,4d3612f,35d52089,c98dbcfd)
+,S(ed67feaa,5aab50a9,ff71c434,855bafb0,5191f036,c691c8c5,563395,d2053b86,b2d13cb6,4ea821df,f8829ee1,57cb5fca,81dcce75,d091719c,73cc7785,c443f0a8)
+,S(f8cc5ae2,3b670b9,3c27ab8c,7d8055c8,4654b427,f9e6b733,b083fecc,c7c5d375,7dc996,7bc3a2f2,f516aab3,682f8d6a,32b84173,ecc742d5,c8a15c5c,72eb261b)
+,S(838891a1,fa46e300,a20fa3d0,cba3fe09,3326ffd7,bcdd7c73,b6e96da,5d591332,d46717e2,c5fa3d52,a268aa9e,a85922e4,547ea986,3a37b1ae,b77d75b0,d48a8fea)
+,S(92caeb7f,400d043,6d36656c,8ffd5d45,6097cb51,cf512c00,1fe613e,8dcd5544,2096bc03,dfd088ca,25cb9aef,29b24b99,2b2aa00b,e3429cad,c0976a3f,162e47e2)
+,S(2e6226d,574b687c,20dcd4a9,683697f8,afce56a3,1e11cdef,6f0ba6f0,dceb89b4,d9c4d7a7,a7aa5f8b,f30f0930,d6c3bbdd,b1963b1d,8cf24796,141bddb1,ba8ffcf7)
+,S(33aab3f4,17d936de,b8c1f07a,9fd5024f,802fa5b3,a593a6b0,9fd42871,75f4ee7d,4c13dc95,7311dfaf,932eb4cc,68c82550,3b185530,13008dc6,878dd092,50edca9c)
+,S(ed74a882,a947da53,fd62a242,b67dcd04,50896a43,e9882c84,ada77f47,691e5fc4,454a18f,a8fc6d8d,e673410b,213875ee,35190221,9f7cf88e,f363be08,571030d8)
+,S(b5d3f084,56db930a,7d8b4728,2caaf807,be7bca65,bddf9738,67a56224,39723ebd,a89e0271,28d5872a,f4d6b4d7,c5a7efa3,b0339a32,89a12918,2077c106,b61e1a4a)
+,S(5e40e90c,1a01e008,d5fde186,283919ef,eb859921,c3ec07ca,e34eedc2,b0f07967,e4be6ef4,26eb3c94,70ee3084,f431c68d,82b2df48,5286082,82cc1b2,afe77900)
+,S(2f4b14a2,674a743a,4aefd302,7fb214f1,a7678336,3c9e7c8f,8ebee72d,c5f29830,11b13461,b6578710,677bc733,3d28e773,c78dec4b,27ca1aac,a17121b0,de9868e6)
+,S(71909162,35890bbe,6a8f7a99,5b1cc3c,a68b3ff9,7551d09,59a97835,5b7167c7,f9aa3992,124fa99f,167f1351,865a1456,8ed9eb92,c7cb2050,5082d228,4b1532de)
+,S(8df50d7d,d3cf99c7,b0269ae5,e70546dd,bed3f05e,260bd834,575d56e,e65f7f0,835405bf,3c84c4ba,5e253fef,f306bd1c,c1240ef,8c03da98,d7c092db,3a2606ca)
+,S(5e0f6a7c,e9bc1e0b,852841ad,52045b02,b4fd545b,f2106c82,17a76bcb,441173ee,ad70f065,4d75c88f,e6654d56,fe65c57b,857d91e8,ad6abff,148f3577,7afa2aa7)
+,S(27880a25,21a78fca,cddd0b78,5a3da1f4,2e832641,8f804a2a,42fe3c0e,f69b43b7,ac9f930,12402aad,c55c12bd,e450700,b0208d85,a6784586,d04f1c93,6df8624a)
+,S(6578c4a0,dc25e068,97482b12,3f38cef3,39cfd6b2,ec06c89f,6da11449,de5e43a5,8a249d9a,41e6c1a5,a776ddfd,ea93ba78,15f2e908,b8b854c2,3a7e3ff2,cb99bf70)
+,S(c66e890a,71beeba3,301bbbef,2bcf4cdd,def8e634,dcf476f4,6907a280,df3dd33e,f3510cb8,9c46f493,c4a70976,34a9c502,11532929,ddc883ab,d43bd360,1b028dff)
+,S(393f0dcd,24b47380,81197794,58bf5e48,b2f5479c,8efd8925,a1f78bef,6bd16665,9898d880,e24f840f,f1b4662d,3d444c29,6527cfe8,2b6f1b4f,f0e5928c,bf09de74)
+,S(337fc469,43942ce4,f1601877,874366fc,a8726f4a,65a9bb26,c6c2c013,856a3adb,95df242b,2d4446de,b2b792a4,d36ceb2c,add17365,380d78c6,3b23b101,1b3be914)
+,S(b7edfbe5,118cfeb1,4c1aa23b,48154dbf,5e9d1057,a2758516,7fb8e030,a457874,bc1e5723,dabdfd76,c98f408d,1d8c13e5,7dee979e,83b3d610,981b9718,f1e61eee)
+,S(4dffac46,6a507b9c,2e2ee5b6,ca81d8e4,d4e8aae6,3d73395b,dd29b024,51436e5b,af227fa8,ad0bfc48,eb469596,b9b2759b,f41eb169,1fb8f896,1451489,ebe0d5d7)
+,S(553ab99,3448879,b42c72e2,97d597a6,24416a45,f5b35720,c93a303b,c6dd0e88,5ba2d3fb,222a03dd,c5302b25,ffce74cd,58de90a1,c3e41928,19717c28,52ad1b39)
+,S(b351ad4e,4c7df853,8f6f71d4,e95554ca,3a07932e,7a812309,b0b0c807,f98cea2a,5ba5141d,b3d4ff44,7efe06c9,c624d447,1aa3c3f3,47af74af,49929de8,d8558c70)
+,S(844b9bc0,ae73df50,e5b80fe2,fb24a35c,dbc91c61,2753c2e8,e3765e1e,47d44263,80eeb80c,414c3a08,a42d89b8,87883d48,84b38bd1,40f7bbee,e977ff5b,c4c57b90)
+,S(f64b4ef6,8fc11491,38ed4ef8,ab2d6336,3d494b37,b56649d1,5d15777a,8cd315b9,c6f83010,5dcfc707,f435cfa0,b6bc32f3,8ce8afb6,28bf9139,dfc47279,cafa56a5)
+,S(969ceb7a,441f8be1,f16c94bd,6065db17,942f88dd,e5506742,7cd30dee,cf9ba5c7,a08ae62c,6e6758f9,724baa45,d35f3e03,9f636265,d841b61a,f1b31d20,bc8d65f8)
+,S(e465041b,78c33311,d4397b30,9a8ba4de,6b312d10,ec2ca906,583162ca,1c599102,3f21d5d4,416f1954,7af1ba97,6687dea3,520ac304,43c180ad,3892d46b,86618f55)
+,S(87b2e548,b019224f,b1021a06,522073dd,46892847,308fffe9,910ffc28,5b702bd0,6e641d35,9e7ff12b,20123b72,f0e5ef16,338c3418,38c2f4ea,6dab94c,7c3f6940)
+,S(f832d7b3,590a59d7,ec2c8a63,7ca0347a,893fe461,4eaba097,8707c353,8296ee14,3fb3e845,4624fe35,326062b4,a6f30c85,f0e7101b,a3532455,7687812e,412233e)
+,S(52aff21f,fe1819f3,7f8b5974,ab004393,6e99d8cd,8342b7bb,ad46d333,5e4d6651,66d79c3c,c7d08828,d8646e4a,6a44853b,4a49df0e,85c95e85,d9c995c2,d09b427c)
+,S(aae62778,8069bcdb,fc91bdb,946cedab,63896817,575a471b,315a47cc,d567c678,f254c548,832d95f8,4f20215e,ca4805fe,356e806d,9b3b7338,7dd36e85,214b70bf)
+,S(fc15d494,b6580e0d,e1c769c3,95c5d047,202e8d07,ba94bd1a,f96064b8,d1a4bfbc,f9327fc8,75319184,c1876748,bdbbdd3c,bfee8baa,bf46844b,af465d4e,ec6be335)
+,S(aacec857,fa4bc62c,82790a4a,496206f2,d79a31dd,e17d2db2,d99619d8,c3d880d9,6dd1e4a2,adc502ac,150293d9,42a1cbea,a576da49,f1de7d15,de70bd67,d95c5fb0)
+,S(c7ba3155,bf34fb9a,2441832a,27396e1,99836557,9c9cb856,44c3ace2,9ade66bc,afccc814,243a1fa1,345fa46f,ee4b4190,96082bf0,7866fa8a,2a887d84,d24192f4)
+,S(cf7a0525,3bee95d7,711d8f7b,7b301f5d,8036a487,a55e3860,900b25b1,c4599115,e8a4a9be,7b9cf99a,5dcb4db9,8249350b,7a71a12f,a9582620,eda5a35,1a8a0484)
+,S(a4336248,6b999ad1,623c4c32,c79ebb3,4e8d6f3b,484f808b,9a088ffb,2885a11c,edf8eef9,74d3e5ae,2a991a28,6323597f,5a161f9,2eeb9256,207be548,f9b38d16)
+,S(d3cdbd98,8cefc8ac,3a442587,51364a10,649243a8,d4a63927,f4fa3b10,b1a7dcc8,f10e26c8,11f4a219,da4f948c,51e8b81b,d8bb357a,182031cf,40ffb464,d5f7d7c4)
+,S(fa038534,28dd093,26977fc,da344269,fe3c61fe,35567eef,909a2309,8e5ceaef,f31c5d30,9e234b3b,44fbb52b,8c973aa2,bd85afac,1f9f0798,788721a9,380d8606)
+,S(718c2bc,26dba98f,24f34af5,18e18870,5510c0a7,4e228cd6,9d4e39d8,a00a577f,c41d0d81,8f093246,5675a326,d0615b0,294b8455,909af0c6,e557195e,11225152)
+,S(378ade51,463d949,1ed22ab1,834cd7bd,6b99a123,52c65e18,70d5005b,e97e602f,76469796,d7758ba4,b3bed1eb,9f8389a2,2a421f5a,20f8df71,72821a8a,508e4c1)
+,S(40bd7df9,1255680b,b50d3d08,fead6815,5f807759,87e9cf80,15e6359c,9f138b8b,ec0417d4,2eb1ab50,a469a853,edc65ca5,2fe00ee7,53b30b9c,56536e3b,36144e8a)
+,S(f01b30bb,985dfb53,7bb4cd62,18cb0b00,b5a77215,4d84a802,8a4969,260d963f,3cf483df,d6b58eb8,46e8ba1b,f06c2e9,6784255a,2afbf68,613f39f1,44b82417)
+,S(2392d86a,1bf9a636,38eaa5dd,76a7c6c9,eabd50bc,9f2ba568,183c0995,f7195900,806cd3da,ac23f93c,3b11cb5d,a3bc4482,ea49ed2b,444c6e64,dc557e46,3ac5c033)
+,S(b0e7747e,c9496fb,aa7798db,e616fa42,5b0b7acb,7409265d,c989b8e9,20087133,32fa615e,d0286b64,b83cbfb1,e8c4b133,85527655,48071401,89f42d93,330491e1)
+,S(8d1342f4,2f6dc3cb,9bb741c1,9daa08e2,25fb6352,ffe860e1,76a26fda,a0601624,82d35ed7,57cb6f31,81af31fc,36f53817,191fb9b,c9338a97,3757d0bf,50d79d77)
+,S(ad09dcc1,d3ebbbd6,ecd7be45,d7eec5d,ef743851,2ce076e3,cfc4f8b9,449a2ccb,26bde63a,e1f7fbd8,46260a64,372d015a,fd3d5ae6,125dd801,523a94fc,8421d04f)
+,S(128f5199,68435c1,a27591a3,2edff533,d12a725c,f0c7e121,260cbb74,925cc292,dd8945f7,42f1d013,92152dbd,1e4dd8e,53277da8,bab68acd,8c7c8d73,f5d7e190)
+,S(118c1167,196e8eac,e519d83d,17ae1e30,36ff1fa0,cbd1cc58,41cc3763,d1d8a931,eea348d,54f47b73,d5d8c2b4,7eb7604b,53beb345,c82ceca3,4f8639e1,45b2e3b2)
+,S(81ee4bba,6a84edb1,83e1f2b7,5103e453,2ba9613a,b612e0f1,27009ee7,7be3bfb,e58208,d152059b,73b42039,e0a7a489,df067fab,1d1c2c04,9eed00cf,893f4847)
+,S(494a821f,6f4b2d75,7e5be34c,fb9949ba,b9271599,3e060005,dd807c83,adf04f2f,8ab15e9f,c37d368,3586a1ed,ef9ddc59,8dae7206,499cf53c,31a8cc4b,d7ba15e0)
+,S(3749271a,da87c292,724a3ad7,2861a7df,9757e31,3c3156a1,72cd3735,608c865a,aeffa1c1,aaab4f09,3998b4ef,e046aaf0,f404d590,d6cd762f,1aea5745,1f8aa3f5)
+,S(103c8721,321ddfbb,cc3ef6af,1ea8fab1,3de6aca0,294dbc79,3a1e4216,563dc1f5,fe9cca2d,b459596c,462fb268,a8115880,16c2894e,e8839caa,362e4813,e8e827cf)
+,S(ddbfc655,6aff403b,10a643fb,f62a60ed,656baa39,b10febe6,92140bf6,7b78f2f9,1cd4169e,cc8ac589,de57b5a6,e02e03df,f3cc7bb3,45993d5c,4ea57e6,852a8417)
+,S(d025f583,3e51a9c6,a1c785c5,1c579528,5af0c297,c0fdb82a,f555fd59,88dbb28,5170614c,110f31ce,d88424fc,7d569f4e,e93d5017,a8c676af,c7261ed3,340d22ef)
+,S(3f349cbd,8ebac9e,c570b0ca,29fe8ce8,dbd98eba,103f131d,daaf193,4fe78516,ec9641f3,175ed56b,d0c8f26d,188f9fa4,b38d069f,cef8f4cf,71acf66f,1ef7dbc9)
+,S(7624599c,61e71532,a177e838,ba92d789,5160e43f,ad798fe2,9170e6d9,bbcc11ce,409e8cbf,6aea70b8,21533902,150148a0,7e45dd61,c9c8d24a,b8cc3da3,f03c49a3)
+,S(8a1e1b47,3c699dea,aa418ba2,85cf7467,51af1cb0,8bf78228,932dc6ed,845403f4,1bd300a2,7a9a8da,6ed2bce3,73b9d39e,661d02bd,b4605740,20934bc6,abf3c483)
+,S(eeb91c38,d9b834bb,5e3945b0,9655b988,96efff11,1e3dde8c,add6ef2c,7ea51b09,899d841,24f83b43,e2ea82ad,3a6411dc,cf36fa86,17bdab35,d83829d1,456c56be)
+,S(46360f69,8c023375,6f050969,60b3defc,2a1897dd,44e0e159,d185ac04,3315ef47,ec02a6d3,828246f0,684d2059,23ba73ee,10cc88c9,575fc005,6271fb8c,67e0a4a0)
+,S(16e5cccc,b410c20,e8de1e76,e5b71649,64cabc26,f629f8be,36eff4da,66f875ad,a80de48e,e079d9c,bac312e0,70f10d6f,fb875c90,7dd3ff57,c9bf8b90,57c0fe14)
+,S(c315230,c8ee5bd8,429efc06,bd089f49,5f4c5a1e,2fb188bd,81e41bfb,85acc82f,71430e8e,cee9c6f5,eb91eb14,20e07b5d,736217e5,4bc25cac,9767a749,a477599b)
+,S(7731eb8c,1684092a,d9d2ec69,b50339d1,19436082,c9116366,8ce2bda7,ee80c0c9,e6636efc,22a4c339,f8100dea,a227a709,42d18222,8cc58d13,ae4d613c,a879de8d)
+,S(2c1c200,4a5f04c0,b83d143f,ede81755,67d4d54e,b2dc4ffb,de00b83d,9802f68b,b3e2e434,30d409cd,26490c1c,818b24ed,b10e835b,d6292422,45c529f7,6e299159)
+,S(2d984bc6,a2031a3e,1a57d0ae,d13d798d,fab45382,d29e4a7e,8e029fdf,2a9d95c2,b169c34f,9932f02,8320ed87,4a74da8b,5cba81bd,f20a9454,feb315fe,a0926720)
+,S(f61abdda,f7673f75,74e966f1,c77096c7,7f6e8659,746e45e7,2c9fbf3d,5e0db5f6,1717dd6f,86edd17a,b242212c,91878ef8,9ff1b865,b32b4e24,cfdab7de,de90937f)
+,S(a68f5871,bfbce14a,1097eced,68a9e906,c94599cf,b6dd4176,ef946fa7,e5552c3b,cbc07a08,86faa82e,d231eb0,739a24e3,62a717ed,30b0512b,96ac8dd9,56ab05f2)
+,S(52035076,1af3e786,60906105,36a2ced0,6f8209d,a0eb2757,cba705a3,467ccbe2,7a01b944,5f63cf43,cba95191,262b1b53,ae0af9b,4b172b78,3970f84f,f8ace09c)
+,S(bc8f1537,9d4b9862,a437065b,10f6c28c,8c3323f4,51f2847c,63251000,c9f144d6,894826ed,61d85e90,58c00e74,cc731dd5,d62684b1,ca996c07,ab176df0,e4b951f7)
+,S(536b0cb5,81dbf6,ab3b364,64a397d7,2a513bd8,a7bb8237,70a725d2,2eb12a98,85bc95fe,6e160f2f,9a31b7e2,74c09023,90cb2f4a,22f15ac3,3d0ee72a,b666f5bb)
+,S(267840ea,e2f49fe8,9889bac7,40eb797e,ee42f922,c1821a66,163a580a,a0df90d0,2c7fe7f3,4e06f09d,a1a2b1ba,79906a0b,18c3d51b,d9b6011f,688c69e9,1504a00)
+,S(d8fd79cf,6beed8c,fa57bedc,ca06e367,e0667e9d,a057222b,81fba682,979808ec,39cab613,9cef186a,248562d4,fa581384,d6c81de5,a0f7fc49,140d0822,f6126034)
+,S(601407de,9ecff4d0,836228ae,eeaa612f,2b659706,576e2eca,74bc32a1,d3d14b7b,6cfde694,2f0e4495,1e25ff02,2f2501e6,7101828f,8088c7bc,a8ef2b25,88036ec3)
+,S(f518c5c,bc0e8541,48c40253,d500a2d,1ea1d25f,d31dc777,d6365050,d3b26804,8dcc6378,2b1ce6fb,9f15c8fb,70c5fd0e,53e4d80a,cf38261f,49a558e1,de637b6b)
+,S(16a9bcff,334e35e2,80258378,b2e25d9a,56ce58c3,b3426bd,da82978f,370ee6f6,c7b6656e,baa3864e,bfbc5294,fe9836a9,9fdc095d,ceac6a32,642e6911,a6f3e933)
+,S(9d940fce,5ecdc659,30c945db,7151b823,a9259d0a,2a3991c9,f71e8b00,bbe35d4f,32f533d,d96f2e36,2109a96,48ef55b2,e5887387,80de97ad,c7974227,b23fe647)
+,S(19e973f7,69c2d02a,8bed34dd,b7591828,5036e724,22227a81,850f3d31,3128f586,f2f5fab4,fe79c177,752ee60b,cd85e625,e459b50e,de702010,a6fbcbd1,5b31aa6f)
+,S(ff07bc26,473271d6,4371a4d2,9b59f858,b1b01e40,472bb4e0,1769ed2b,66bf2097,3eba7660,492ae09a,abd7bb8,c5d80e33,44539ab7,276edfd5,b599b02f,27c60b8a)
+,S(175f786c,93d89acb,8959d846,934c21df,5dc4f6ce,a9c1e150,e7da469f,d27e6605,343366e5,7f5b9f7a,407cd566,7ef1f0f2,464a2938,61fd5f2c,b0363a5b,dc9c2f9a)
+,S(a9027f8e,b662a7e0,d70aa1ac,d3e0b9ba,d4e0bd8e,8bf8c883,40b0a7f5,cbafa761,2f9dfc2c,57bfd835,271d63ac,e3cecdfe,f6e19e0a,fc19ac0f,71ef9ec2,7fac30e3)
+,S(677daf40,728a6c89,6804ed3,1df283e,19b41c2d,36a3a98f,d4b93fa6,6699983,1affbe57,3a561872,37dafd1b,bdcaa594,e499b298,6af58591,c6a2ea3a,2016c039)
+,S(1105aff4,d4761b77,68db74ca,d9fc7aa0,14c5417e,de1fe641,ed1dcdb1,9b5a3690,bfabb1aa,76906ada,4a1ea463,f4caff44,a41afa71,b82e2457,d2756ddd,14946ff0)
+,S(3221d033,16be670b,e05ecc94,8b537ca7,9318eb65,f93ab3e7,32e7f36c,bd06249e,92f7b5c9,85ba3fd8,7b14a093,74d4ef94,130d3642,517369e8,f9de5fa1,c8ccb803)
+,S(ac10037c,ad83fcbe,6aa7acf2,3043ed,831dcdb5,66921f16,246488de,6e012fc8,d530eaa8,ebe1d47c,8e57892d,9301c4a4,29b223b2,7344e433,f2bf77c4,d9a20205)
+,S(b3ea670b,f5001657,913d5d49,ee1005ea,65fdd33c,4ad81987,efa0331d,b29a3e53,6d758db6,df4275e3,fc148e91,6536505f,6393daef,c54c3b0,b708e0d0,8de3f1bc)
+,S(42762d8,bf60f678,924b7cf5,4e8c513b,fa1223cf,98e124d9,18d88cd9,a54c8d88,96be42a1,f0dadc84,64a3522d,e13f10ad,3272505,f7d4fc54,e6dc1a33,ef6b2eed)
+,S(7b9e0117,167c51ed,c3f7d2b9,edb61bde,aa90efd,88349510,c4b1cf1a,43a9ae6e,c43e0d1d,8a673cb,1f0d9d1a,e3a4c985,bd47a068,2528ac36,67976881,1ead7a4)
+,S(1e807fdf,c69acac4,ba5be7fc,9c617005,d34ff896,dae25e6c,428abb96,3255239e,7db7d6e8,8bf3b869,fe4f7c11,65d85faf,55bd677f,5670ebdd,89d2f8b9,f56d972c)
+,S(9aadd434,75384190,a6289f2,32cc6491,fb7a1d86,b04ae9ea,94dfd2c8,449c3961,fc491907,3ffe94d1,3b945382,eb9c482e,9da5a764,d9aa1d1c,c3d973aa,5edcd3f3)
+,S(5012b7eb,481fd85,db13c3fe,2bdd06a,720eb4c9,805193d2,b99b4bf7,39802f26,db8555d7,e2cc1858,21920564,3c288352,22086161,1a611dcb,d1e98518,7c46cd4e)
+,S(78f9e5ba,91071270,5160654e,2393cd73,85e4681f,8efb4a45,cdce5ef3,d73cc7b1,24c4512f,911101c9,d3a4fe24,b7468585,36cb8137,e13578e,95cc016b,96d86e20)
+,S(91a7d927,4de2c0fe,84a10579,891ea8cd,f87fcf5b,a0939411,4612efd4,6bb9f826,d5a5e511,b85436b,89e46211,ec69dfa8,d0ee87eb,7c0daa31,24d48462,10e6c40)
+,S(3940b4e9,4626f86d,4592b96a,4f27f874,c37c6cbf,5940de,37dafc1f,35350b69,ecc6176c,43df3f71,cbf0160b,697afeec,1a9a0d69,5ebdb7bc,34b0efe9,2cc68b39)
+,S(76e7ab54,8c63ee6a,30c736ff,11762061,283af0e5,5a7dbbd2,23fe467b,85c95d8b,f266c922,fc5e61f1,65bf521c,33235e05,113140db,6a481b0e,e4f9976d,2696fdce)
+,S(ecdc2e5d,b8d5028f,f93de09,c9f5a6b3,c439b14b,3c322c53,94622a13,80f04067,e70df9f2,bf6b0a35,9029f937,5e74aa93,4014e78d,e68e29b0,9d96da05,5ff78112)
+,S(ccfe93db,de087d5b,9194b286,99243dc0,91d4dd5d,7189a5e0,d5621311,9dee9a94,2b0a0a20,cfef0c73,addd2dc6,d9b4ba7e,9e44f2c,26d9f376,8ef90241,b2d907da)
+,S(4e82a200,e64f5b3b,3e473e50,e437c224,e21bf875,ec8ac364,7e599ba7,84f02574,ff696d9d,2d9cc0be,217394da,85201a1d,208e4309,9b9372a8,19f6d069,88839c0a)
+,S(a292e105,6f3f0a1e,e816a49f,51ef4760,91324316,2e3c734e,802550a2,c942c17f,479a2e95,7a05a686,1c08df3b,221ed2c6,5d192181,189269fe,9ef42a8,e71fd6ef)
+,S(47279a82,8311aa4c,b6138c9b,ccb2fc6c,c4b9d27e,2e334389,1773fc1,ee09f461,2480a805,496e8bd3,e02b36cf,8081bc5a,254f821e,40c0ef48,291ecbb1,6699a10b)
+,S(b903b4f8,2126fe06,44976643,5f0982f4,394db57f,b473401,9536740,595562fc,e8c97572,bfae91fd,61cfee63,3b24bece,e587291,f65a6aff,b71c6a3b,615e1361)
+,S(16b9e3eb,eadf469d,368ab368,431afb79,214bc728,5df165e6,c3bf98a4,701b05a5,26e74ff0,64cf5de9,ec3d084f,8d75337d,c04918eb,f783c65e,b50b948,d48eb003)
+,S(4927fd2b,c17b92c1,3b3ca52e,759324ca,353e8505,ba81ac24,9003091d,1cebbfa9,95a6c16d,c4c52f20,2883ab4c,a9c050c2,b2849b71,e19e0df0,8ff495cd,f62d73ac)
+,S(70c503d,93e47,10262c8b,b1630409,979b673a,79ad08b0,8d855365,f51ffcaa,2ad207aa,5fe05144,95baf3f0,b0807efb,d10265f0,5de63d6b,563e4ac5,e70b89ff)
+,S(cf598642,32972f7a,a6cf12ce,dc5aa95d,4bd0f96e,38ed546b,9ba9040a,e25a9e6e,67f2f83a,f5f09b52,caed83e5,1b9d6de0,58a6e9b8,96d1a6ed,d7ab4d40,30332027)
+,S(617b9e5a,8d0b8c44,b186aa60,281cee51,dc224e2c,9e1c4f07,c342a180,78b271f0,b64d8d5f,bc2907bf,90b983cb,a6126586,dbb7e7f3,d95993e2,2bc1b8f8,9472d200)
+,S(d52e0c90,c69cd94e,3c849ea7,dbba79d8,6aed2a3e,3ca3f106,d2baa2a3,59c50534,36c8390c,fe400769,fd2b2fe1,b6af62d0,7fbd667c,fcd9a132,b6b4f974,a7e454f7)
+,S(ea474a01,36d16bc2,fae6f568,9ea3c035,aa6580e6,b238f42f,e2ab19be,81330a46,d09379ce,aa89765e,1164f438,4b0f0ef0,c1e8be86,427c7455,af98e4b5,c9ee8145)
+,S(4e5dd22c,b6a4b205,97f71375,cc49ee10,ba6b82cf,b06cf065,a25d6f5d,bef51d70,d4ff2ed0,55279f96,344dc16e,10e3410,40378ff8,b8d912c3,a17cbfb0,70588cf0)
+,S(774587f7,f3038136,131fa9eb,f1eb3407,9e473a8b,b9e5acb7,317ff5c9,17447878,9d3779a1,2b067b00,d2a2a3e9,46f8078b,e6279024,d94c83c6,28c0cd48,145f510e)
+,S(ab807569,d1a3630c,e5447b36,c205e601,a6a23069,4d2c0786,19d9b97c,e0ba6611,2b9eef15,54f8ee6,e11af6b,6a1d045e,d47b8821,ec84c6da,366afe10,2730e9ea)
+,S(91602928,ed3cea8f,4faa254c,28962b68,c4437602,3076a5c1,6bad95ff,3e328049,764faf56,2d8de3c1,89b7fef7,62012be8,112db4,a3201692,95c7e76d,fcbd3be9)
+,S(6c1ecc2a,258a44b1,ca1d964b,c86c5600,49fdfd98,b362c35e,3c830647,cf1266d4,1f9d3edf,5e0e8550,e4534c33,5b07d731,19c49c4e,29397f6a,938fc1bc,ebf8fcef)
+,S(e176821a,4006b429,999de3a4,ada09166,f6e5deaa,f09fa613,60bd3733,db8f7084,7d07d1a5,390325d0,27b05e18,d90e7659,f5ef4c8c,c7c6dd00,c7a5427,4ec91842)
+,S(2ae0b70e,53536893,8a7faee5,da5d8dbe,e5af4873,32caf51d,7bade79f,eea50df2,e70be2e8,c8110c31,c3eb5e36,31dc5a5e,bebeb184,e6b9f081,bb7236dd,cadf903a)
+,S(1c686fcb,d7a751b2,d420614b,56d37c8f,81c9a600,335fa911,835dad8a,7c663e24,4fe2eeae,7ea1b639,b893329a,a65bbfcd,b9fd8f07,28614bd8,6a5b0712,76aa576)
+,S(b369d7e5,c31c9a56,f480b44b,3354be,84145c3,97dbed68,d87a4c3c,be31dc5c,50800690,17d31473,59bab021,c876d152,c17ea8e8,b5c95762,c749a2d,29adf3cb)
+,S(522d3ac3,42a0ff3a,9a8eb5ba,54ed4dad,fbcdb48f,53bc6e1f,2c0c12a5,61cb1e9d,32ed883e,1e1f562a,50063d79,45075ad9,9ab55ba6,fdff0d58,9d2b4a4d,10df82fa)
+,S(7d001803,7b722a7a,17d74696,fed9bbb5,f3d5f6f,d8a623b6,9c952a2e,f2be939e,81ee30e6,deb893d6,274c4b46,8533d845,38073ed8,68b101e9,515ebd84,70e368de)
+,S(c76b074b,b228dc24,1dc9b704,75fcc52d,a3f3bf0a,5e954910,ca4e6f16,bd298983,4fcc807b,4c1e37cb,6a6c42da,b939a7bb,6f1d5ec2,87320d74,408622fa,ece22266)
+,S(8497f267,99c7f525,83c620f6,e284a9a0,35130556,9d7caa1a,f118de41,c51b05e4,3b861f56,16ce6234,c6847273,16bfa629,7cac9d5,ff562f66,24b26146,413960d1)
+,S(ddb10ff0,a217ab76,241a587a,8cd46cdf,ce6ff5ae,e39d2d85,7f47eeb7,6d2bd68e,a4110196,fd0813ea,19846dc7,12537cb6,8faf9333,19e7e49b,553e523,f07b004f)
+,S(47eb53da,455cbbb9,a8330e12,e0210d80,cc565661,348fec72,529390e2,a75b812e,88e4a8f,91ada187,5734dcf,42b85e2b,a3f5fc53,1f1c1df1,300c3d5f,e811fb70)
+,S(eb0a8903,42fb2710,a4c7811e,78384918,dedea7a2,9bb7da46,e49211bd,95da1426,8d69a88b,d85e2edc,d8264cb6,c44d8218,1ce8946a,818c9d4a,6f757bf8,5817ac56)
+,S(d400c8ef,655d3879,579ba4c,488c3e55,af5af95c,1701bd15,482b2549,9334906d,e7bafda2,5a9f5934,6bcec6e2,a9408f18,e81b76f9,7a9d721f,496c27f6,42725e5c)
+,S(bae81c3d,1772e104,66625f8b,ef08d4a4,5f07892c,72bcee05,fb7e382,2a6261fc,4ce5f14f,74f28b03,34a6cc64,452b9049,8460493f,3b64d9be,2ecf98ef,c0270377)
+,S(7f575b9b,46bd0f74,555a363c,d80122c4,232e8c53,a6624d8,e13b5c06,74986961,edc0ffd5,952fd4d3,c752271b,7cdfaf3b,4cefecd8,66d722f0,3da1e97b,49aaa080)
+,S(a86871d9,1292f7fa,7249ee8,e77270fe,e7bddafd,3255b4a1,16851ae,411293f3,c21ee1b0,bd897d82,566cf438,b66439dd,3dfab0ec,3c7a4038,ccb86039,3b0b0187)
+,S(c320cfdf,9cbc6579,8c8b33c4,d97d690b,64ae90c9,a5070646,8c8791e9,1ee4a18a,8f1a295b,2a3c8c5c,3b5bd8ce,e3380a04,819a8658,7be87d03,73a0194c,fafac74b)
+,S(169a1b4,f2eacec2,be263ced,2e0576b4,ae77b863,525b2a9f,f8fc05d2,c07a8fc4,7703f867,d997a2ca,bb697f87,b97ea986,78777183,aea81417,1dd0946,309e77c)
+,S(218de686,ed51588b,1307d8b6,54f7f6fc,e673cb37,553d23b7,b8c23367,d6b7ea5f,98325ea9,150a100a,f5d2af49,2fa25b23,40ee9606,1553c3d7,edd4d870,5288b8cf)
+,S(c7c2e438,d12ed0ac,6363564,8bf2899c,d1b39b1b,200ffeda,4ef9cae0,5d8381e5,93a36085,fd09ff08,b83d50a8,3b140edd,a63e2442,e4bf4d1c,7ae44963,c1646f41)
+,S(12e834e5,605d6e35,8cbe550b,8fe917dc,59194c58,66b265cc,50b00e3c,38fe058,6a44ecf2,17f46865,2e0991b7,df3b3565,444e7e29,3a2d6378,61a8f3c1,5ec1517e)
+,S(30f33c39,af77735c,749fd328,e228ed67,bd625fbe,79dc3b06,ab31c173,777308fe,29a00f66,1c998f1d,bd62935e,44794420,7ffd7b1c,24f63806,9206e1c6,5c3d9604)
+,S(c5bd81b6,b057e687,19c47964,d55ab996,6c7ea99b,25c1c2cb,50d6fbd9,af492358,5a6b1332,8562599e,e87c475a,1e7da886,c460ec67,ad81372a,7ed39498,41225e5e)
+,S(1fd0e769,9d931a80,dbcfaf1,46b5cebe,b9547f8b,b7fa75fd,b2bac9ae,ac0908ab,11770838,88607506,bad87ba6,38c9ae26,d79a9dc6,6746816a,b9f21d64,fea96838)
+,S(ac14a06a,4679e9af,b2ea3aea,15f2749,bc9610a3,b576a506,f96fa41a,76df97de,5aafae08,5b8a0a7d,48ebb339,f4dec906,21bf5162,dcb85100,eb7524e3,a65a4921)
+,S(ad583074,13a4eba9,ceecba6b,c568bfbb,30566031,c06e8e97,5c5d992b,9ed2bd33,c2bda9bf,d5c87e0f,a663a40,34162dcb,29b61800,c1dcf02a,c11fe615,25af1772)
+,S(5a8bd45d,6fd468dd,41ecafd5,aa072227,6d0176be,81b92061,b4277b73,32acfaab,878a8d5f,7903d74f,6abe28f8,d94d4767,3698a7e,6acbc32d,9e92f9d6,bf31c2d5)
+,S(6690c9c1,d9666be4,56d3540a,6a2ed706,372256f0,43265478,7b54e56d,f28df74a,7ad591,23772578,999c90c1,24704c13,a7193b62,64240aef,63d12d88,340762a4)
+,S(3c051303,c113779a,6137f46d,38d1175d,8778e460,8b1e0abb,f7bc4539,80b64a2f,9d4d04a0,ad1c772b,4a523c13,cc48990,c733eb87,993cdbaf,61dbf75c,4f6a96c2)
+,S(1fdff503,66319168,f5dc381e,8085ac92,223b3484,a8b362c2,26d1f00c,976f9f04,5cb328e8,56aaeb05,62017bf8,65da44b2,94ad7404,df11e117,8426b79c,25a49fa6)
+,S(ae83da7,52ec2098,a4a593ac,f99dd58f,cd48da14,361feaae,6cd992d3,96b4fd8e,6dc92b41,f1e1474b,a259e96b,ec4f2b36,108745b9,a500ad9a,edd9c828,4c3d129)
+,S(c0f86e7a,6c0fee54,a2f73d2b,6b1522e9,fee994cb,d5089886,d98a4748,161811d7,4aea0b92,2441c184,c347243e,5ad5a064,ba00768d,52d7153,a5e0838f,f497d551)
+,S(8e5b23f8,85d683a6,a6a657ed,d2d2f403,1320d4c0,83340126,d2958dc2,4c5f5ba2,25c6db80,477f37e0,ed6c6e3c,c96b1c7c,f9a7ca16,8e940e8a,b2946c7,3b02e61f)
+,S(6672b4db,bb16c672,2592c239,7d9ea25e,f081d48d,aeb42c89,ae6c42bb,af09b3c5,a3778252,e239ae3a,f64e3b91,7f646181,4f71753d,b4bc958c,b5bcd3ba,4b5b1a4e)
+,S(e0af1a1,b894fe1c,1f7de814,1a393a3f,b12b31e3,fcbd8f2a,356e61f4,402d76d0,37913973,b4de9a2d,23f4f795,709fe825,8eee8aee,afec5996,83d924e7,21fb9b0e)
+,S(94355dd3,c3d73a1,cabdbe7a,295cb015,335a5a79,dd301718,10c245b3,d0c840ff,31e96abe,22a16033,56681d3e,e5e8330,628d8090,bfdcb925,79074cb6,82845475)
+,S(fc340c8d,1e3e2849,1470dfcd,1c2fb445,e807e1a3,9c525ce8,141b292c,596d2e36,738e7213,7580eb3,615b7eed,9b069cd2,b644447,24696a,7cd22257,7a931464)
+,S(c0c4e03,61d923fc,4201872a,1ff525c6,1697412a,7bea7a92,596e9204,f1af90c3,25c4c2c6,d6593ef7,ff5f04fa,a5b0b2ca,736ab33f,5c36dc63,433821b5,382fc4b2)
+,S(81afd4a8,d666b97f,dcdf0d36,f2dfdf7,bf7c3322,69728b75,26dcb3aa,df51365c,b7fe7653,2c8d48fb,8c3d0382,68d57839,edf80cb5,732ae303,5c1b51c7,cb8d3efc)
+,S(140b32fa,62130c2f,1d49e39d,15f9c64,f5cf54af,3a0c65b2,298e91e3,21b9477d,bac2aca4,c96d4363,12107b2d,8996875e,6772eaea,a5070920,39c1171b,9113b516)
+,S(17418ab7,46f1eaa,b98725ab,68bca72b,9cc645d9,cbe0835e,4bf91a7b,3939b98,dc964031,b1292c03,117a4ce8,b3341e23,da54a539,fdd31126,41706257,bb9382b6)
+,S(8f0222bb,6cbf7491,12b95780,b50077d7,be2a27ec,5bb6dab4,923cf36d,3a12618d,8df2a149,abcd276,31265890,471094cc,fe6bd8ed,b75c2364,6f7dd54e,30c4c6fb)
+,S(e3965324,1c543ba1,2d0ca0ad,88c26ace,b265f42a,41d2b7d4,f252ecf0,a48275d0,44467da5,18786654,5722fa15,36c187a6,f67f2e8f,5a424336,b0ce8bbc,a53f9cca)
+,S(6a4b614c,41c4a6d4,ba4f8c53,26d08bc4,ecbc72cd,d2415c3,b7caf285,acb07c1d,76dd92d6,3f85e1dd,685faa18,283f8667,2425de4c,95a7985a,cf5f74c2,7b29b576)
+,S(afdd252f,82037cb1,928d896,74f3ff64,57b94412,b563a4e0,1a32cf2d,1afde412,d57f319,300a6f93,1155b0b8,3dd83a5e,d2b4a0e0,5d58786a,8024627b,73360609)
+,S(65adaf88,4297a087,6ec0d433,ea82bd5b,9e3590c4,921fc2ef,d1fa0b12,cc74808,30e4ac9,77b97c4d,b7516c02,df65de7c,d9e8ae08,6146716c,3da4b26b,eca17033)
+,S(eba0dd63,c667395a,9e9eda33,93f5d101,8462b957,1aae6a09,cb723e2d,a45704e7,8314c569,49b7c144,197647da,baf857ca,a164e385,62c1cf46,bb30e7a7,a8dcb680)
+,S(d3341d4f,1f967f0f,10932a5,351c6c22,c748af09,1d547cc,2766e6f3,1a9f570c,9694fb83,74177e3d,80775206,f58b2e12,32b87c9a,21f060ec,19152435,45502951)
+,S(1596b717,8dceadc1,b5f3a5de,89c089f,62506b6e,2c6e49a7,f1cc4a11,e502079f,97157538,2aba92cd,8f009de0,9dc143c8,51b0f3ea,31067381,48a34858,8c085d49)
+,S(138c0bbb,17c63e1a,a3e65b50,3c602d8c,74178847,8dc2bcce,65b84cfc,95f7ec41,bdf88a3e,34f69fc2,415fb95d,a4b6d3b7,f159651f,36a2d4e0,b4063e5a,ee86dafb)
+,S(7d99662d,e6274432,65ab2842,a4ed79be,480404b3,1b847c01,c557e277,ee073176,e2ceda2,bada9b63,ff2fc022,44124d3c,b83dd4d1,f3fb74b2,763ecdb6,46e4cbf0)
+,S(9e3f4ea0,b1db451b,7d713eae,35802229,fabbbfd,6f6d0ab0,af7483a5,37992e63,a9023199,10301c3d,78933143,b54e87d4,1419524b,16c9c00c,5550fafd,e6be8b65)
+,S(108c8cda,d6ffc3d,b0863a66,43f0a4bb,efcdb0c7,202f630f,f971a7ce,dec3ff40,847ab4b9,8fba1fbd,15f6bb2a,4b3d1038,726c2d66,f4c9b8e9,f740af8f,5067d95f)
+,S(5258a6a,7c85d4f3,e650f0e5,1e2d8254,8a768c0a,f276da55,27ab0050,6e97e710,e5605a14,31c8941e,4f2aa3c7,9ab94e3f,ffed156e,ba2159a2,7fde377e,e2ea7e26)
+,S(c40820e7,f46acad2,5bffcc6d,745aa3e,7036f26a,b6ae85f0,e3cb8f95,29dc3f3,6ddf9217,88249ac7,6ac2c9b0,1dc5e62e,91587d15,c76fe26d,6d7c3b2f,feaf3b12)
+,S(c135f50f,160d04e,43148abf,d76509c4,e55aadc7,554e4ea5,823e013e,a0490da7,f9a597a6,b26a1485,a7d5a91d,486d099,93de9a4,6484edc8,72f8f4be,710aae69)
+,S(484be5a8,b903230f,991c3118,38d3ebdd,9759f5cb,11a9d0a3,9bb11a03,3924268,18f80a36,a3d70e67,5bd65253,a1ad3e40,a3152d55,c1141315,57f8585e,315ba462)
+,S(af67562e,998a4032,77fc5827,cf222258,cb2f23a7,4dcd0d4b,315564c3,eb66da9c,dd5bf89e,c9b2c178,6adea201,d36f3a66,771b3f2a,cfba7acb,c30024fb,fa73ad6f)
+,S(38dd6cd,475f2808,938d92be,8ad0c955,f3cf3255,c3602b99,3c177e06,553af411,1abcdd02,d82cc0f,680362bb,f898bf89,304d681b,6bc3afcf,65454ab5,8d44214)
+,S(ee37f0ab,3db1f9b3,2da0031d,48f53766,3530b68a,f47bdb87,679426b0,d90fa6d5,6cdb12d8,136fc9c6,2f025cbe,7882ef21,4e7b09dc,9fba4cf9,b021c4d6,610c0397)
+,S(670684dd,fcc19f15,ba9201b,ca36d143,47dabf31,bad07e8d,68e6fbd,2630a98e,77bd28ff,a9699737,1304d4f,82d29d1f,a69dc123,6f2ee438,cffe3f2d,358ce706)
+,S(1654f447,78026345,64e3608,bb29004a,812ea39a,d96830f6,66a92f5c,54a79359,11d91962,3f81fda0,36d2d021,607d9750,cbd30359,83c4f47a,21fc8116,ca93cbe9)
+,S(ccf0a89d,429a0274,7b000326,d62825ec,6978f24e,8f92f490,e8cab1ab,ff90bfa1,5f047694,375222bd,5968dbcf,a331db73,85b4df25,72791c53,42c62467,3d84400d)
+,S(45d36700,32ab11c7,897d648,67ed4d03,a9504461,bf28f3df,7e1276fe,4c1de796,67e837fb,37108844,2338086a,d1506453,ed1f37ff,fb14e617,93908c7c,2a8e6fa4)
+,S(9af3b6e1,627a2ffb,c18ddf33,b668fece,bbe7ebe0,986df82f,1b2fdfa1,56dbc565,55e9562e,882f6629,1eae4c6b,5a82b0b,b5bc2cb2,b8f884bc,3e45a126,aeee19e0)
+,S(ecfe9d5e,d3b9fe15,c320e05c,7e0f3b1a,5fdaa9a4,5e1ff99f,88012642,a5d45b4a,b3cc1fd0,e0117151,f53ec671,e1d207ad,5f2b0755,8956cf28,2be5228d,db5d48bb)
+,S(6e482326,6ef64478,dfa30c6c,f3a951f9,fd9d3108,dbe80e5d,3cbf2217,70f5483c,97a3f599,906b1738,372212da,80309562,d3d4179d,d2abc2b6,41ef2f4e,6561095e)
+,S(3de89149,f6c939cc,5419e4ba,f0baa93a,390f01a3,4ad0fb7b,3b170e54,60a380c6,e9a07758,1c4617c0,b996ae3f,b250b723,874b66fb,85a6d826,cc5826e5,bb068491)
+,S(d4d28193,53ace188,703643d3,84622505,d9020459,a600349e,69016cf4,faed2e25,9a494bcf,e15bcdb0,97513682,ef09890a,424d6bc1,ad1cb73f,123ff5f6,7babb364)
+,S(f694a819,fd0f2035,1193eba,c18e2db7,9c219191,2bfcc60b,6af8e067,2281095a,d80d1652,1e43f18a,4b663898,bfce8670,6f53436d,a30b0663,9ee6f99e,ca87e667)
+,S(af8595b8,8de7c459,7d1d1614,ac897de0,5dd9ff05,593dd3b6,cbac81ce,d2e1fb5d,e9dcce9c,83ee7217,857d5ca5,a48bb720,69d467b6,897be9ac,658dfbef,3d40e6a6)
+,S(df4177f6,a7deccf4,c618b710,b096bb4e,b310e4e2,470b5795,6a633154,8ae8123e,3638e20,5d42ebc6,7184e567,c177f479,18fbf9b1,e4f69435,487b289c,35c7fedf)
+,S(ef50482,30344ae2,70ec6d30,f4daea23,ce7b64bd,b101638b,5a52ff3d,6dbe9fd3,a6eec78f,e38a2e6f,a9c062bd,4ce28dde,c5d25fd5,a3204281,ae30d79d,99a2658d)
+,S(f89596f3,ddd57abe,3344080c,a6d85d0c,492261ca,7a698aad,ae00dafc,75615954,f8d7d2eb,45dc2b9e,a0979550,8d9da016,20b53a19,b4150ca6,36bf0f86,ab3dc0dc)
+,S(a7c2ffd7,50b99bde,92ac1419,57d8df27,56ca49e9,3f4c7434,b24899f1,24fb3cc5,a1672ade,aadad853,47d1440,d573e3dc,91987d6d,ce55c67d,665402d5,f8b0a289)
+,S(463f5f25,b5c63801,a6b1accc,6662e6de,5256fce7,37e1c875,2b4a880f,19ceeee9,858e4a68,39eb48a7,f1a7de4a,514fdb46,1f4203c2,65e308d0,3fb9770f,1f8f13e5)
+,S(4c99bf38,57073c27,cc92314c,f260dbf9,e0f4bb7d,1a5ffadd,a808783d,3bb602b8,aa107422,ac7dbbbb,f6e8064d,22a5526a,96bcbca9,9dbaac33,c1f35b2f,c6df568f)
+,S(f6825035,64438569,aa7a5a4b,e2468453,8d8bfb88,f7e983d5,33ebffd,f8588520,84ff2ce6,9d79938d,fd910bf0,25a2fe8d,e6013c03,74784b73,168049e,c851cf15)
+,S(62ea02ca,16b2e528,2f913a,36463494,c00df046,8afbeb34,cc9573,b71577fc,36be98bd,2c83e8cf,e0fc1aad,98ffd9e2,9ccbad8f,a25b9da8,23de20fb,fe91f9b3)
+,S(ea34600a,7591c57,d0a7e351,de6e6d0,2c72220,62a980cb,bcca8966,356a2984,25eccb4f,a6102f52,60e4c545,57aa960,b427e372,80c35b8,edad5f52,1bc93aca)
+,S(5b76cc79,2e78f177,97b32c46,92f2eca5,1ae1b7be,a753ce98,8e58d116,6c667027,2e01ba25,799e1b9b,3416493e,3fe9fff2,c46e634c,2175a30d,7458429,3ea60b5e)
+,S(62a52d8c,d8562624,48ce5315,28213ad0,6fc6044,b6490db7,c27b7662,bb66f07a,e8f5e0aa,aaa65c7c,2b51e665,f3b31157,54ab9fdc,ac492ee5,fbb2a348,d8db5376)
+,S(a276992a,5e155e29,d091e05a,5f0513d9,ff2dfbee,6ec1ffd9,a91f55b9,bca641c1,3d480cf4,e3f6efda,6cea9cc9,d769b16c,d1f3d64,23aefe9a,abc82b8a,adb22e48)
+,S(bdb5fd64,bc99741f,a2a672d4,a895aacc,98886a9a,d38a486d,ed1915f1,f0b515f,d9744595,ae6e1e64,5a52a094,75ad094e,6af9655f,185ab90c,c03262cd,39794f93)
+,S(cd6c6829,9d2b1c60,9b70153a,45259261,91b9b9d0,9fcf0682,d312960c,c3f82c04,2178ce3f,1bc21a2f,7accf32a,b20d625a,182f8733,e460e8b9,e1067dfa,fee6b36e)
+,S(ebbfa9e1,8a4107a2,475f99a8,672be581,f32426a2,d774acdb,efe501c0,af97a0f1,1845a5fd,d71baefa,64cdf1f,d1211158,a70752b3,adf2b4d4,b5bf1a9f,7a0abdf2)
+,S(bd5af866,4d51256f,455a3190,88b754a5,34223135,1491f763,3e090bd6,27414fa6,f8b5bbf2,2154786a,29f75090,fca2e149,60f84b47,50ea8db,d7c309d2,52233f3c)
+,S(34ef0b38,5a8e776f,1c3ff95a,5852027a,ab6d1da6,6201548a,fa181c81,55382b77,958180ce,9afc501f,84d4d3b4,eb556ca2,e6ae8dcf,f949db6d,33cca5e2,9b357280)
+,S(4b5f6663,11e6956c,e186fe3,85f00069,c0dfbf67,e4130bda,64e0e89,1abaf471,a6cf3571,2e790d5f,b500324,773281c,43f6d008,f6578ab2,b48fe4de,1ce3b545)
+,S(cb22489c,bac94ccc,887a1d7d,8836cacc,c8c2a43a,4e09595c,39cc6064,ca04546c,dced75ef,d7ee6ae0,18ff2690,9abc82ca,da74e823,c62e4268,606334e2,969bf94d)
+,S(b069007c,4a50bfdd,38ebcbe4,31a952ae,5356d63a,9f4179b5,e4cda3f,fe478c42,bb90d5c8,e66c6194,ec55acc7,6dae5f0b,dd498746,2d24a265,c314e93d,618a0f41)
+,S(18722ce2,9d9cf99a,e52a420e,23fd8e85,e1582d02,c520d4f1,16c2b82d,464091f9,9fe257cb,5cd5f644,183c8461,ac2dde6,94cc84e9,76d9c623,584a9d94,40fea12b)
+,S(a1562afa,6420b34f,92a78951,e9ab1bd7,8772a181,636df487,81bf4bc0,b16bd196,ce4435e8,7105d006,9b353734,5a503e0f,a692d3a,8571e8b9,66d9a722,48ecbd1c)
+,S(f466db58,b4fae060,b12b780b,df11c7e5,ea8a08cb,cc50e68b,f5d85926,b9f3cd97,c86b4153,45515a2c,9a831ff1,d6377a8c,cae62456,f207df2c,42a1e767,684f79a4)
+,S(686a1d05,e2bfaac8,e31def35,21876c81,27be2ad1,34ef3dcf,6de52778,37278176,111404e1,7f2153ab,43597a74,be1c278a,998b3695,5f4d465f,271a6a46,8e9e8986)
+,S(d8433d5f,e5ec423c,73bb3ec4,95d06cf5,3a77474c,1e97ff97,f72a0457,9a60926e,3df114d5,a9d63dad,ada0ec4f,f98cb8ce,f1ad419a,e2c23dc2,f24048b4,1879be1c)
+,S(3a9a0aed,4581937f,fe49392f,488053df,349f0194,9666418f,16e56fcc,533cb73d,c9db1a90,2d6676da,251b4be9,7a643bdd,d55c2b15,95ce51b3,281cc866,40cb558b)
+,S(b35a204a,28884708,3091abf3,34be3696,b1082fc7,5caeb0d5,18387aa2,711a4190,65f951c8,78232345,487e8e,376c22bc,e5d9e8d5,ac04ecbf,24cafef9,4de358f8)
+,S(81ff6fec,11f48691,59a2d23b,b2a6a9b5,68c5e6c5,1df9905f,ff73e1cc,a2c505a,c7b794cc,d657519,fc05632e,33e23474,654f1344,6ef1b4aa,1a1da18b,4acc1e49)
+,S(3588a9e1,7feaaca1,a62fcdfb,3952beba,43116167,bb238f10,a41fdfa9,bc316d8e,acb24c1a,58ed9a0b,9744fa76,df4742b9,b440347a,4b4446ea,a3e55234,102d4789)
+,S(7eb13fdc,9588b724,e7cddaec,498a8b15,d57a49af,529c8c9a,cc8303b5,e81f91c0,89f6ac3f,38351f7d,e4b293e,f61a87a4,2c08a4a3,ae0c160a,563ae5af,dc62dcfd)
+,S(2f68c6ef,b363459d,862710a0,a0ae67c4,afc3cc00,85f02e21,ca4d764,3c76e00a,f8be9930,3a3aa7e5,c50d3f53,9b88bfad,60f05fb0,1461d7a8,225bb21e,18616cd7)
+,S(b11994c2,5e3e6d0d,917ac215,c5f39606,3b9b764b,5dfc2b75,ab8ef880,3b57d802,4a7ae35e,c525d91a,cfbdea6f,cc9afbc9,b3cc8c80,acb4385e,9bc20158,f9f2b55b)
+,S(d8e7881a,e1e4d04,c431c097,25dd4cd9,b4efb4c4,3896256b,7de47fc6,3a3b30bf,ccaf57cc,138f0bbf,5dbde16e,91d14875,c0d5ea,3842e864,be8de17d,875fef67)
+,S(88e02abf,a37ffc97,f564cf3d,8a086c8a,62c05720,802319a2,30ab7cfe,b448c478,ec2d3169,15dd0c2d,6f03f851,97a96f9a,6c0772ee,df0c4524,c08f58f2,39c89308)
+,S(ad258ffc,b42d127e,a875b181,a8883a5,31d18a64,d75a6dd4,4111d697,90752d1f,acf5ad9d,bfbb14cf,a25748e3,96bf23eb,aefe1bab,6550b234,90ca0278,276e9db4)
+,S(a2bfdb6d,38159e5a,604d564e,af29cf09,a0a8ac79,1aef5a63,e1c05da5,fb6a0c39,7a45c5c,a7ee7c0e,74c05914,1e3d898f,ab62a8c7,31ca0a66,a937ef55,51dad999)
+,S(7c7bb792,ef21cd53,bcf33a82,6a1ebf93,e9f3357,51131f9b,36f659d9,594f453d,bc98b32e,173d91ca,e9daf137,766c5ca5,6e0434f0,e2eb070e,7fa7f8b2,e7364635)
+,S(40a2000c,dc0c1c9e,4c037a3f,3113b48,f26730ce,11e03b1f,d2f07217,7816f8c,1966929f,210afe16,9daee99b,7b48eef7,27e1703c,8bf42006,922c0496,888b690a)
+,S(6427d169,cfd7e9fc,1b310f68,e3371720,28c17dd7,c6d5a32f,4ed6d41a,634f3f1a,b1a71fdc,6a030ca3,d7dc2ce9,27f3b9b3,ca7169f5,2fdecba4,bc85e32b,4e52fcff)
+,S(723013b4,24fd897a,1e8ab77d,ee0618c9,3c832117,94f8b822,9d7a9e51,1ba8194f,21acfca6,e5e0cc31,479e5a97,17494692,9134f2e6,ebcef2ac,c7779251,77e9aede)
+,S(1b18b7a5,43a284b8,3165bfa8,ca947da5,376fc4a0,8f4070e0,a20aa905,fd12acb9,713ab4fd,9e0bab6c,aadd2f63,1c5ef168,7cae85e7,6146319e,94b19a1e,f6a69584)
+,S(65e5990a,4700f51c,9d3e61d4,26c92f88,5506817c,d4d60c66,a341cf91,9646ff81,2ebdd818,f69cd135,1405c63a,7160ad4f,17a6a7e2,d4353db4,7b554eab,3e737819)
+,S(eb131661,eb78d37f,92a851f4,506c43b5,1f2a155a,dac7eee3,b1dbc29b,a0b1250c,45f2f418,47d2258c,3f78a2d2,794e9aa8,eab23395,8debf0e,b1440d56,dc728334)
+,S(f20aaa98,ab7d6f1,d6de080e,ecd0bd28,b14cac9e,7f27c931,5576b039,16777203,4d0dc753,84c942d9,347f007d,543bc399,ee01e84,7625d5c1,a57cdd67,79c4dfba)
+,S(9994a963,ef21ca0e,9657cbcb,3da57f3f,e28ce389,60ae5dd2,812b2949,96969047,93d75bb1,35572b75,4801509e,5b64858b,c0a415e0,3968efe4,2e558786,8516362b)
+,S(4696ef39,95e5818f,d7894737,2fd68c75,fbb455fa,8477863b,b2687fca,fc2cd7b5,1cdc53f1,c52112c2,f58a6f66,7c1e4e9,110d83f9,d765347e,a724c784,d8e5d5ee)
+,S(7b052f1f,e1af9537,ab3bb5b,3e0e510f,7e101cf0,999f85be,c403fd62,53e68d25,69c7f158,4b6c36c,f7d881a0,fe4efa5e,3f879753,641ce0f4,3e73bfe4,77ada27c)
+,S(99452d74,3311867d,1d86c1b1,decd1ed4,7192a58b,3ef98cf0,7816823b,1296abc9,ffabb50d,a1a0451d,36b811ab,5e0c55d8,751a1851,3ca8bca4,8d6b3ffc,61ba36e3)
+,S(40c6fec6,5ded4688,31f72de9,fb5c7f67,32c0c170,29f19b36,b00b0f85,5a12424,17aa0baa,eb3ba6e4,c5000e96,c3eb620d,ce1dfd81,b35a3e79,b27b8246,97dd5741)
+,S(b9bd9e2f,c55ce5dc,2e46e4df,56401c72,e01ac3d5,201a3cbb,a6609fef,ae2e827b,f545efa7,f95e9a60,72cb9750,6f929b4c,e0360c8f,a9f058e6,5b87bd55,a72abdcf)
+,S(867c0fa9,f885935,2756e3e4,11666eb2,59a416b4,7c2ff329,e30be462,13178921,6fdda875,4a50ee1b,d229d4f0,fa8876d6,9caf9fb2,a6af19fd,dbbd2a81,5dae486b)
+,S(1cbe8374,3decb58f,f2fc9668,7ba45c64,812507ec,c2f71d66,eeea12c2,92fb36cb,799533ce,46d2c091,d0b553b5,18c82317,f516049c,4a4f50be,909c875e,b0bbe21b)
+,S(c654f9fd,57426248,fd24097,2595d71d,80cf771f,cabed8d4,63bdda8,340398cd,898e9224,c9e94d14,3f96702d,c296bf50,9b2cee37,da574bdf,b7c09cec,18357a18)
+,S(49e8e14f,4a9f09ff,48725eda,85ecae6c,3fe3400b,81012e00,991f6a69,2d75083c,815230c9,284924fa,57d08944,2a30c61b,8ce19644,7a8ede69,fb645864,ef35977f)
+,S(43a6ecde,ed83f1fa,8946f584,99e71bd9,978f610,b46d1613,c15fcfc0,f79786af,2995f70c,11eb448e,68eb3d10,c84b36cd,7605e249,1df1fa3,2e9eb57c,c0275482)
+,S(96861d91,678e5004,7c491950,5bbfc70a,e342c3d2,361729b0,4d0bcb5f,d93eceb5,6845ec37,9bee6269,464b2e9f,156ada30,c518bb8e,105153e1,c3b3e948,d38078e7)
+,S(3c72be53,c9f82add,504a1955,7b9560a1,7716a058,26063408,79aca60,c55f4515,e584b72b,cc4744d9,6a00dc44,b03ba61f,c2269731,a8178755,2a6dce8,25d31b81)
+,S(ce4b4d07,deae1fad,33192544,448ac5b2,77ba7f70,27b81a08,d7f84581,4f71787b,2013299b,2c744a5b,da6b243c,d04d95b7,e515848c,dc28eb40,892d40c,210bd1b2)
+,S(37984db1,6d288866,78e1804b,9c94ebf8,f3a1aa05,1fefce96,65712f98,198ce116,20a25966,8ed14a5f,fc3aac09,6d2351b3,b6cb19ab,da4c833b,4a2a6c68,55d1ce59)
+,S(ac01bcf,b02e627b,2c9c931c,f87beb2f,4ad7328f,9caf627a,2bf695ed,b7353acd,be4eacf4,77c92348,fe0feea9,3075e93b,bb3633c6,6747524a,e387df82,176ea252)
+,S(d5d6af83,1a81b72f,efe5618b,ea43335,bf1d81f1,73382fda,860260d8,1a2faa83,865f9ee,4ff0fc6b,fa761709,db4c67ee,a3213d07,21b2facd,fcd8fa57,8945698f)
+,S(3c16399c,4de35853,a6dac8c1,8eea4b40,92a22a8d,5e69ed0c,13b9c2a4,3cd5e39c,bffc2dbc,c2ce4b04,6a92b967,d1a04b5a,2fe40be0,fd9930d0,45b51f8a,15b53edf)
+,S(f67018d4,23e50a73,68045b0d,ce803e35,a26d9a5c,288a3a7c,c25ebb03,dad28187,ee97afc5,1c73531f,ea8998f5,53086a59,cc67c6db,955baaa2,8f57153c,afc4e772)
+,S(de67026,529a32fa,b3ae79f6,ef9ece7a,47008d2,46f89053,e9339c4c,dcb53b30,4daa8700,4b055005,90611f78,43d258b9,516f1fe8,61cf06ca,d466e000,d3a68783)
+,S(a133627c,af6e7ed3,1d267608,19b69f45,7e75ecae,2169284a,48b5ee16,b5dc8c10,755ef12a,fb5c071a,36dbe2b7,1f858d87,31c93d81,d271c999,8f632982,d7e97ce6)
+,S(d255c1e7,ccc88c4c,33887c9c,b9c15a2b,52b08471,90ad1420,5fb5909e,d36059c7,83e3e1ca,99a386e8,4b119391,2c20593c,f9573996,d42cb7c3,6db24a5f,cb413080)
+,S(aca6c69b,9ea17803,4af67422,71b8062f,77e6dbe5,1df2a570,65fb3057,ea185b8c,40cb09f2,adef414c,816b22f8,d7a59f8c,f5197fb9,b31614d9,ac172436,d0f54647)
+,S(fbc19c84,3b656fcb,21d99c3,5289d3e3,2bc58fdb,c2404309,a9d8831a,f2365f24,cc22999f,203a4fae,59eac72c,28bed6d9,291f204b,707bffca,ca6d8359,1e403124)
+,S(ea308c88,c366677d,5e575457,cd3e6978,5b491a02,c542dcae,5dd5e149,2f839c55,c1916831,2f48555f,b80845fc,ba89eee7,a7967807,d10c6f6e,b516c190,94873ac9)
+,S(d911d62a,33fefc48,abfd4409,7ee2d32f,d7e85816,2a8a00d1,342646ac,8dda6cd2,f160f933,41bb32f7,401d153b,4a2decf8,b793fb5b,4d5520c9,6d9cb9e,cba79aa3)
+,S(bb75b497,7d698442,7b0ac74b,939ab3d8,fb94304f,602e102,1fdacf22,27022a4e,ee3cc171,8e9190df,9b45d8d3,54eeef9e,11639423,dc091128,ae09e451,fffe3468)
+,S(358e7639,b4031852,b983b5c0,a6c0d33e,5edb304a,3f8bd15c,35d35794,e2cf90f0,5da4be1d,2e9bef5a,5da3cc59,d3c4f85a,e6624ee3,17395ded,398147a,12c56c45)
+,S(e098fb9c,440a5cdf,bc570270,4b57eeed,f3087b7,e196522e,4b194618,f3c874fe,9a5b80e6,b22dd111,1f824c36,4830e723,18b7825e,2f2a0fe6,ca460d0c,34eb6449)
+,S(62d607b2,d1a16e4e,cf60480a,be9416a7,15d70b5c,56734e7d,1498ba03,7632528e,70c5f4d1,4f5c900a,96291a4e,d0f795ff,439d35d5,2c5bddd2,ab10571b,1d7d20c2)
+,S(a630c5bd,ec76f869,40842391,cba6cdfb,9109940b,e1034b87,c6a1e5e6,9662857c,8f28f55e,beed2883,3e347b10,92ff8938,133558c3,bfeac1f6,a6b938a4,c783b79f)
+,S(e2a164aa,e17cb0c4,8ae1e911,872b0b3a,7c0e29f0,93cd5e18,97145211,d72147b,23ccf99c,afd1bfbf,a7ce1ade,1590d609,9a423b26,381f5761,c19ba373,290e6193)
+,S(742526f5,b95051cf,2ee34994,8385fa72,425162e7,e46bba3,febe5ce8,595a8b37,d106a3be,638987e6,870acf8d,26d4f78c,e6aa0e9b,63e4eb19,114fc97a,eee3a12f)
+,S(ce7837c2,31c32444,10dcc790,de465c06,75404a1a,68d23fe9,b69d887e,9c554f45,2c0be877,20cfdb11,8c37b2de,a2c355,d12279da,58f75570,7e738867,146257a3)
+,S(601167cb,2788b146,998f0b91,d582cbd,27f4b866,40db7ec6,7f26214,f3ab9212,50525e40,1f2da57d,1f605f34,8f11ac23,19ad1827,41d7be11,46538e83,e03bbeeb)
+,S(d2f657da,6f7c3c80,9d2e5291,b1161d46,393009ce,e2bd22ae,32b99eed,f76fc728,6df58d32,b795b6de,2a9c3b15,f4f1dc9,4e6e6757,e01891e2,79acde59,d13e3e75)
+,S(e9fb6b74,f84973fe,7c7a0924,e0133b92,bb4c22d1,ce9a94e8,433f0c72,2a86e00d,f4df6cd9,df43c150,9d4b9580,eb87298a,551ebec5,2438597c,87dd46d4,3a8ad2c4)
+,S(98d46b64,e43f3384,88c63da7,35af1141,e8b41981,b706ac5a,7aa1c0ac,1182afd3,3b2ce203,5bbd2cd7,f3206b3b,6aa3ac68,31e0e2d4,7f9e57f2,3e780fc9,cf865733)
+,S(b358a4c6,a7130b1e,a00d8403,7164e68f,c6cf96ea,c6580ee5,b1cc2452,8d2bb5b,3bbb25ab,4645c17a,2a6f7e64,2d3952eb,86462564,5647abd1,2e80d965,be1d3854)
+,S(fd8807c6,c456582e,d03114a6,2b42316d,4d0d386a,aee634cb,d33f2f82,c1ad6f05,c67d1611,e45c57d6,1f8d721c,437c0ca2,189488bc,f363aab0,f25314b0,14f896)
+,S(cd53fa2a,1f989ceb,cedfb7a5,237addfb,2efe9469,8b6509c9,3081710b,f0db107a,47e61ca6,4d26e617,8192e993,411d0540,bf7c37b5,8c748eb7,6c1c197c,87c3f844)
+,S(38cfdfb1,1b60a68,b00a4096,8f2da5e4,4a60868b,de9af728,fcb888b4,9a098c66,65f4f191,92667492,d717cfbe,bafd0076,59c08392,30da216c,315f2cfa,d3725184)
+,S(cc179d39,1c6ab4f3,7fae6380,35886e2f,82038bca,768d1396,13fae8df,a167a271,a12fff68,84a967e6,fdd6e14b,4083c0ba,2a2bcf49,f7d6071,d708c70,4722b1f3)
+,S(cdd61b33,75fd00cf,430d9d54,202c5c61,465fe7c0,a3f51660,ce74a3bc,58068c,46e5334d,bad31f3f,6c4bccbc,6812cf13,5c039a5d,d51c6516,49564f45,45f13ab)
+,S(39ecf8d5,4fa9c3b,fef7d5e6,5ebe0e75,288f17df,4b33036b,d034be2d,fa5bdbbd,21991cec,ef62e421,70da3bf9,8b2f9bd7,790d5b13,25159727,a53a0735,5ab1d956)
+,S(7b621836,342994d2,3185da8,67d47e69,a67a184e,925a3,524f5e7b,63639263,b08c269a,1569538e,653f2beb,3e6e348d,c61537e0,7afc5f13,f56d1f74,518b274e)
+,S(28e5ec3b,38359a6e,7d3a965a,c5713365,44b91ea5,c9f350bc,d315c153,72133bb4,5bdc5a02,62734535,8621c1f1,492b3434,be731c25,f82c1a32,163ecf09,7f548465)
+,S(37ac3ac2,3f6b2a1,a3a5a99c,707a6b8d,5f05e80,133ac522,107ae5ff,414d33c7,460c947e,76eb51c8,42bd0e6,6ccc0937,87f61bc3,554538b4,c2065fdd,533d0b02)
+,S(275f5ef2,a4546ba0,9d96d138,e698cd32,78cf27f3,2ee297a,5ff8dd41,f16bea50,ca91a3b8,5b0a493c,a49168b4,c9eff873,66212b9a,c030fe6d,a9be42b7,45d0464a)
+,S(6c43669f,a69bd51c,63cacca0,21c69bf7,9a94ef9f,3f0aaa92,3be9380,a6702e34,b416195a,1419771d,82fc2ce0,637cf5a,29823d1a,95614642,c93a979e,5ff3fff6)
+,S(606c37c1,271b90f7,482e6ba1,81bd956c,44a44189,346bfa67,539c188,ac0eb61f,f6af64cd,3f04e30a,1b4a7019,c6caa84b,823bd00f,587eb58a,e190ef25,322154b0)
+,S(e4136e15,b3fdf609,f779d0c0,70ce8521,2babc592,577361d0,47ada13a,2a83d43b,1af23c84,ad240ac8,50da2ec2,721531e7,18776ddc,5847edd8,b4d79d52,26e53125)
+,S(a338d942,6ce420ac,c9fb29b9,cf572af0,72c0d144,46dc2c3c,75b9d5c9,f7fa244d,c88a4399,f6e3ef2c,619cd9d5,215d305d,3715b962,b02b29ca,231446cf,8ea7c40f)
+,S(c454d1b2,6f77ad27,a168d032,fc1a73ca,fcc4aac3,ace31f2a,433599fa,7107fd9a,989b6091,ba2ec267,380c5139,47059d4d,2773109c,1afc21a4,3be54ea6,ad8f19ee)
+,S(bbd7bd30,5bf1b36c,6cd6c180,2f41525d,75675d76,9352dc60,1a727931,ee6f40c8,3c3263d3,75bd412e,1d7f7d5e,72f73216,6415ef3,52d1fcf0,58e6c046,ceb46abc)
+,S(acae6fb0,5d5b503,c2e3d841,19ce3bbe,1380b363,e5d8763d,3c520a3f,df39f7b6,6fab4b7b,daba880c,9167ae8f,5feb9aa4,3ca19f28,77ec5021,df36ac7,db730293)
+,S(c9d4ba53,a44403b3,b06915f,6bd9bb43,4716a639,453797e,5b8e1cf5,abc78425,749cca45,6abc2a6a,4e970589,42cefba5,a2f55dc5,39bf4f3e,be5088cf,ae04bf70)
+,S(3408e460,99f1a176,fd52f70,3c772f1d,a46d32db,246815d,a21826dc,c5657e61,a93bd344,de7afec8,2ea2842d,40fbcf60,732be8fb,738b8364,aaaab796,1e20974f)
+,S(5e061a06,f97f61d1,5f66c3ff,17372621,4ce82af,3e606b4e,9f64fb62,e405376c,609064a0,bde996b2,d909e50f,726ed7be,b4698ec7,5e1c9c45,3ba18815,2915cb1)
+,S(b12ca67f,739f4284,3a7adf58,d2a2f3ca,fd245ff4,b766793c,c79cdc31,45579113,b1deaf81,34f017f,b2bc20cd,da75fcb7,d219c353,98ee9887,612781a0,e3f3d1e5)
+,S(95a72f2f,c241fa0f,c9500cea,d9cf069d,23820078,f61d4492,508d0fc4,34fc223d,832a3979,1fb9fd9b,79748643,64643bcb,b227c39a,e4cb5051,d136263c,293cd453)
+,S(ab8ccb01,4b672660,b867e544,926749bf,7172a0f5,ac6317a1,a18b7d15,f039fc94,28471e3c,a2d6e77c,87700c4c,7e3df1e9,2fe91efc,77724df3,2f20ceba,1ba000fb)
+,S(26131926,5261c0d3,ecfa9769,fa987347,1b9d4ebf,dccd830a,96bd160b,61b47278,dc9ab665,485133d2,59d7b604,5e1e4f52,9b099e9d,4db9f680,4935e712,f8402f66)
+,S(87a4227d,2303f5c0,acace6e,96586b68,178dc65e,2c99583e,8e427ad7,167c4a65,5bce1d82,216355d6,5bbf33e0,9b3baec4,fb0befff,ebe48b24,cc01d454,7de6db8)
+,S(a6576ea2,39af87ba,392a225f,bcec3045,8920b494,68c54ff3,92d2f509,519ce85f,deb950bb,6a767b3f,3603be36,6234480c,1851ae4b,1980f902,f8fec863,dfabde82)
+,S(ed41c3a2,48285ad9,1642f6a6,feccdbb1,66298fa6,467b0ec0,ea256570,c8e343a4,dccf3578,aafbc34d,8ca5fb6c,b4482de,4b94dc65,a8d22845,ac800947,dc1042b8)
+,S(227756ff,800f7eb5,4493181f,83050c32,9f27a35b,891a3bc1,ea5f0e89,b94e77e7,571c9345,e9e95238,3c7dc62,69aa0fff,46455825,a032f33a,154a89ed,e13a09c3)
+,S(6f3b91f1,3f2d6787,454bc7a2,2ee780a2,3c251697,c0da9aa0,a03dcc3f,f03e2b0b,432b396f,c2dcd370,647eadde,ec058a01,53fac955,4b3f400c,435c4755,5e61afe8)
+,S(aa79f0aa,767db1c0,3893c9c9,c75a1f8f,457f3f36,72c1d2ae,31e58658,a916fe5,4da2c69c,8033860c,14f8438b,8edf290c,5d02f2e5,153b68ed,fb945043,a6e6a1f0)
+,S(48f2a720,df970127,2385a961,5a215d8a,3d41e0b4,ad439c9a,9d0453af,4699e527,11669dc9,26f70e96,e76178c5,7d698d05,b6e7da96,eef4e986,c4f6e6be,216f22ac)
+,S(561d8010,a81a1191,3bb2436b,bbe0ce2a,6f1af6c6,fc064d57,59edaf45,c7f9781a,bfb2561,bc311bdd,707aee1f,af3d5c9d,faa9d564,a5121bae,9989665,b074f026)
+,S(64d0fc68,6369a225,a15cefec,431fe434,1a424c78,85bdf2,51cccf53,9e266fed,694fdfa8,12f6bffd,b1c75baa,3b843d02,1b69cc8,20f2a8b8,69908a00,ac7050c)
+,S(2b80d86d,341d05f6,218eb96c,fb227834,44bdcdf3,65cc3809,1bcba0ff,fa8b3d09,152eb516,2794fd0f,abf030cb,1968faa4,100e803c,e5b8046d,c36e3075,9317a8a5)
+,S(62652ecc,daf7ff5,3aa255de,ecbcd653,7840a657,dd53e58a,514ec1bb,98c9b5b9,2a05c8cd,bcc4a512,1d2cafd0,6289fa14,178e91b5,b1fa1190,e4c7c13f,f50cef6c)
+,S(f23fe7d7,69cd7bd8,5e0d97c5,4163e596,a0e7dce9,488e8f67,4ca6f3ca,81726ce0,eb1355f6,ecac2b79,dd299fce,c0f273fc,3767a3f3,3ac4777d,cb871a1a,99077e1c)
+,S(91d4028d,1ea8e320,5718f427,b427c21f,4780a944,55ec46c4,2fb2a1cf,4772af1e,7a529f92,3756a212,24dcd316,bf9a3f6b,f5bfbc54,3b015c10,54ae51be,5c2e6b2)
+,S(7a8fdf03,175969a7,80475dad,c43e5c66,fa75846f,63cfd62c,e82d2153,d185670a,b7b58ebb,fa0b2d3e,ec2a2638,accd965e,c7db6cf1,c847c1b7,9f0714b0,c1cf7dde)
+,S(9d72d9af,5e9d7b2,7fb2b867,4aa35438,946c4ca9,eb9ea4be,e20b2eb5,e7cdb89,324214ce,d556acd2,3ac00175,f120d59e,50dc95e,96e6fda6,ff348bde,5ff7e701)
+,S(33556ab7,bbf601ba,44dcb33e,aa5efc82,3c70f507,550f3d7c,22f4ba62,cf2d6bcb,a21d830f,233a657f,7857560f,c030f053,656aada8,f7812424,f38a2409,7505dcb7)
+,S(e002b33d,93022868,60b39e1c,2820ad06,2063c344,bef98dec,3a9a0428,20e2c507,3133f829,1c81d970,f879d1eb,2128f21d,7540e135,31189576,191ac4bb,d83d99b7)
+,S(9eeb1972,ffd49c0c,7982671c,59071b20,422a053e,394db993,8ef7b3d8,98795c5d,ae48763e,5ad78988,7a756827,4a17708f,8afdd8be,bc9c0316,73dd9485,319763c0)
+,S(60f821e8,ad12907f,e445f049,141c7718,a495d1ea,3e39edbf,f0a73018,a5cb6854,6dc1b291,62b025ae,2a285e59,a5b406dd,927a743b,483454d1,20426fa7,50adb95d)
+,S(5b8bcdc6,40f4a217,6d0661ef,f2ca5d6c,b1aa2069,557274c8,287fba59,dfd65a41,42ab52dc,cad04998,63e634db,ebaae018,c999eee4,c3cf05b9,4f18d218,23f21256)
+,S(e764e748,4ec2a2ac,6843df3b,5316f29b,701b5191,778bda16,a23a20c1,69ed0cff,e1007e10,4ae52971,875bf7ea,9e9d9431,94c2e9b5,bc7b2844,7b7acded,de7d633c)
+,S(37f0d948,48742a8b,e73ef1ad,495b88f,ea95f7ee,b343152d,85f9e442,771a22b4,bf960e80,467cf81,bc22380b,af2f57f0,d5938ccc,55f3f691,784be72,7fa68bb2)
+,S(7ff13c43,7f2189a1,18b2095f,be268dfe,e1375a3d,f71e88b8,4cf5b94d,63b04612,10295e49,1f0a882e,aba663f8,f0202223,21c422d5,f3b453f4,8ab8bf4b,4319930a)
+,S(74f6853e,f4a2d018,4cf113d7,62fe2a1c,33ff2729,5414a5bf,3f381989,551ceaa4,629f116d,37c1809,f4e2ecfd,19c2627,6deff6c5,b89249fc,d4f6e82e,58eeea79)
+,S(d54d88bd,abdcc56,c1bb8cbf,cdaea6ac,16949256,f78d70f6,7a1416ba,b4cf51ce,996afb9c,5b36f588,812bad4,95c368da,f9e96035,4bb7dd1,3f457a6e,da159b59)
+,S(a860ca66,3ecd7482,c862fac6,f6a7b0e5,f5f6bb26,ee950db9,2942fc89,4b6fbacf,3445137d,2047c17d,65b3cb88,8e1b0ba3,619db023,bd989a0d,c585a59d,14da7b9f)
+,S(d794dc2,4e0e36fc,6f38fc8e,7a68cdac,8d547d42,b9667241,2dd7e6d2,c40f9aab,22a9a90c,10f1b80,e277be34,3c492125,24ebc477,1f838070,f2be48bf,cec3a7f5)
+,S(7e28db65,2115f5a4,575293c3,d792fc97,9ea1adf9,dac468e4,60e5526f,6847657f,8025944c,16a12ac9,25e67f13,3835bcbd,33c338d6,824b1fba,f0ee001b,d79d66e3)
+,S(d3f13a27,524f0c87,266f3d46,14d965a1,3865df67,5d20c5aa,99a4411c,dc6322c4,9a1025a3,845a4bc1,9f7cc175,9377c7f,e46ecaf7,53263433,baed836f,77e2e841)
+,S(d845636c,db18d557,1759f6e6,bad6a60d,3a67141c,b0bfbbf9,33e628bf,8344c053,40de706,ef833427,80e5120b,ec6e61e4,a8a3726,32818317,729e60e6,3ab7e37)
+,S(f40f53fb,c672573b,c020338b,71589d53,3709ac32,b38cb943,ed0ca0ff,e592e552,502145c,5f542a77,652a4ab7,d79791cd,e92f3e72,d9d0190a,2724e114,49b64e0b)
+,S(2065a8bb,a0d61dde,921a0741,21ae5678,8766f712,bdb3c4c5,776af9e3,774120be,fd12cac4,a85d5b10,1aec6ee1,4b1301a9,950df948,86427be5,55f52736,3ca29847)
+,S(a9b1e8dc,410466c2,df97cc8e,bbcb3af5,f981726c,2daf8803,ef06ef2f,a23e038f,b09dd4e2,77b1d10d,bfdd06e1,a42baf37,a5157017,ba026d98,fee13512,4a1c5419)
+,S(c54ce1c,bbfa3808,f24b2661,793c3574,a58aeb0d,128d7e5b,ddcd98a6,d8c9bdbb,c1a2291f,d20e8a23,f4012b54,37a7be7d,5af5f776,bdbb2c53,193e07da,bc1a3212)
+,S(41ad2d03,31f57724,6476d0c1,f2c46216,6156296d,8bfd3783,eec40892,835ec421,62777bb0,f8b6ba08,128f1727,9c237286,abc5d2a6,492b9c67,3edc903,7b0e3008)
+,S(a8eddde5,eb761183,ef5cce4d,a7958b92,db28bab8,2f695fbb,597f6535,50048a3c,7f60d3aa,95ee5ae5,f4cf10ac,cb5729e2,bf89ba7,6b1070c7,ba385f41,a5912685)
+,S(f1db8d40,2cee572f,6eb250bd,ed3d978b,1346ce96,d65291da,977b42cd,36bd073,9bdd0bdb,a546ce4d,774f79fc,3561c0fb,ca11f4fd,b46ab1c2,a7520913,f254f42c)
+,S(55cee66c,7ebecc0c,7f22d03f,8f166b99,ec7b5e6a,776bcf60,b5f4d452,c861bfc7,772832cd,55b13c5,890c7ba9,96731ced,5a2e1c05,6ac89469,320c08f4,43159d36)
+,S(61427868,7710db98,d4347d4c,aae4c70a,9efbfc7e,bfeffe5d,6f33bddc,4aeddedf,fe8b32bb,d0c7a7d3,b93dcb7a,99a5cc8f,e386bf89,7dcdcd86,ffaac641,6550dd85)
+,S(9f3ac763,c117bd99,658f5379,119aa025,cd422ed3,b1ed2cc8,545d6f93,39baf4e4,41b2409d,cec0065e,4026e879,84b99d35,4eed93f4,15e8981,256e8734,a4eebb74)
+,S(8510bf74,8f5255a1,8f408565,30f909d5,2bed111d,6347da9d,8da2a97e,751d4a98,2ed99b6,6af7cc01,37329730,1b0b63c9,f8732547,fc632eb7,7357e67e,df5549b4)
+,S(d81fc0cf,9646ae0,7dad1a3f,e06adaf,1d3508fb,13af2309,c200c2e1,2228807d,cac833d6,c94e674c,a7aec186,42e4a501,ffbfed92,dfa1015e,c95740e6,57978cd5)
+,S(32aa5e70,972a899e,e25e6c6d,e43c32ee,df07ebcf,e5ed13e,5095f7c3,3bb55622,38e82901,990a1e42,38639a42,66a93fb5,4368df0e,befe19a,7f234424,a8b68c0d)
+,S(68f7b02a,ea38424f,decbbfc3,498c6193,62c732a3,b048800c,85d042d,b284f7d4,bef680d,90660176,f3d3d009,9f6cf818,a277dc5b,3d765a30,b7a4ee9,cf3bd46e)
+,S(9437ace9,6b566bb3,87d9946c,2c32c06,f62f1158,dead214f,2b721c6f,b6e8888d,f8dee3bb,331e1e33,9963b7e2,316a1352,c8748f42,44463ffa,5bf2265a,243941d5)
+,S(af40e909,85e5ce8d,dfb6d6d4,222d3c57,2ffae40f,53de2c06,55a74cc,70cd8dc5,2f08f237,3fc922c3,f0ed9d6c,b9538f4b,c661ccac,ea2f4975,50f47ec2,17d8e626)
+,S(382e5a07,f1f236d5,ca1a68b8,f0fdb813,29e0393c,c375df88,f87914d,cef93c64,e24ee731,c0a88fa4,8ed3dba,87e97096,e0ec2224,dd657411,a9f1a9e8,2b0a6657)
+,S(99fce288,c6ef1d18,ad630097,8ba82dd9,1c779a60,b266109a,288d51c3,978fe565,294c9e53,3cd42a54,c071d5c8,acb7edc9,897db8ac,d25b5f10,9eaf8dac,42a9c1a4)
+,S(748326fa,c8dc9394,2de0a000,933dc18c,6ef92cfe,bac46939,f4405d89,627e6727,adf2d561,45581b4f,e706ccd1,8dc82bcc,14d76fa6,94ac8a61,a51d06d2,89e36d2d)
+,S(43fef689,67074a2b,7e944b76,8f8b1ca,15aac3ad,c8f5590c,f1f02c3,afa82e90,5313cf6e,8cac44d9,fd548032,dbef3ab2,26e93880,644468bc,799c87d4,c0bc3f99)
+,S(404341da,829f537a,c425050c,5ba93ca7,baa8a8b7,dfe51c23,e2ce7c72,43d57659,f91a0d59,bc35db64,b250adca,3cfbbaa2,2a82cfb4,d684e8db,e17484ee,af009f9b)
+,S(3af33cb6,b4d553e5,50fd35f1,a0b569e3,eae05737,7b7d735b,545f7f00,d9acae67,42aa2cea,deab8cb3,b1ee9c3f,4b1b06df,e157cbfa,3912035b,585980bb,cf85279c)
+,S(2e96133a,1da8a378,c138583e,86ba1de2,3450b285,3559a431,654ec9aa,1f64229f,3bfa5a75,4dbd936d,7a41266c,97472020,6cac86b4,d684bc1a,59dd1f27,fed8e76b)
+,S(adc4b672,69fbb719,92bd6e22,3cf9ecb3,c9388b5c,45ffadd6,94c72e2f,b355984a,ed177eea,ac8cbd88,2a368fcc,4908ba4c,8a4054ae,3411d75d,b06939cc,72522a7c)
+,S(68ac3244,49eac1e3,df997282,65a0176,bf6c6115,64daf79a,135bc6c2,5578b6e,407a75bd,b1e5e6be,a9b815ce,833c0be5,f5c462c5,c71a086e,59fbe0d2,5e7b1fca)
+,S(5176afcc,b4235cc5,ea41eaa7,b657a77,bb383bf,aa71ef8d,d33990b9,9c2acab9,cb363792,9d249fc6,1c0931c,8a27dbfa,c8371574,52c40306,c3291814,ceb57095)
+,S(4938cd76,e1aa6b28,2a89e883,8671e4e3,82d7bc76,dc4653c8,46323cd2,51d18542,2bfe67eb,6da39ea8,c8160621,158eac48,550c3730,664590a2,731247a1,399bc42f)
+,S(9364dddd,dadbaa52,efc81971,75041c81,e7ebb48a,f20b82a8,125d85fb,a7fea192,ee568f7,53513b91,cf6720,2c45c4f4,181e855,ac0300bf,d7de30e7,317a6ea2)
+,S(bdbc0937,243e563,df29781d,3b14d4ac,a664fe5e,70f3d9c1,39ef1b69,57839156,2a84b153,549c6d1b,27dd9ac2,1ab86f34,9ace0619,6f814d08,92a1958e,d137bb1f)
+,S(b616b635,adf7b64c,43c4e242,32ffb330,bf28ee8e,48918093,9584c26c,28c82f2c,27fddaab,e5d47957,6344022b,68744822,eec7b937,d29b0631,93c7f6c5,6385cc89)
+,S(55a3849a,50606886,abf6f0a6,5a3e657f,46031cd7,4c117365,8f27aa14,326f3cac,4a522c0c,17fcd116,61b11d9b,f88e0ad,c7a5761e,e01db8ff,a7bc3dca,a7976b00)
+,S(d53e472b,439dc5dd,c8ff479,ff678dae,95b2e207,c92df108,728c3783,f8818542,3f3f7ecf,df3d9f89,1c723161,75a57931,4ebeadab,3c4dccf,bf2b834,c762d30f)
+,S(1e27dd,f6186285,41f5d8a1,6587e2a4,ed38c34d,8393a6c9,fc0a7c07,cef36053,280b223,da8d01c2,12315c1c,ba7dd8d9,96d3202b,91c4eb4b,26c802e5,9494378c)
+,S(b6d9d97c,64ba01fb,e8a9d29b,806d8a6,42413bfb,fbb4ae0c,10d8fe52,7ae6415d,894875dc,d912f8fa,845614de,a2b09796,d402c738,ca1f3c9e,c0796681,d715b8e4)
+,S(2c97985a,5fd96164,e4c4d9d5,9a9fb52e,b2e6df0c,77ed4745,3dca6eac,7550756a,b3526bbd,de58e408,a4f45dd6,61f5c6fe,2f82d2ca,3e2172e1,c99d1fee,93d44c98)
+,S(405deafb,528991e2,ef924f55,b7e4dfd8,185de449,cd6f71d6,53025999,4caae657,e959b7e,59cecac7,f813dc1b,a15bb71b,4a4832ca,54026e18,479d71d9,191c3ad)
+,S(4276ecae,a14c0556,b4573b26,dba35226,4fff2c3d,12a3e4a8,4937ae9a,3f687bfa,7611836b,d3b335b,66f92914,6df0de13,d6ecd47e,88369ffb,6c9aa493,e67dfc71)
+,S(6fd734de,6d2fadcb,d7b19f56,ae7153d9,1ddb396f,e0c1e51f,ae31fe80,8a35556f,aaa647c6,92865772,f31fdc1a,3b430ffb,e1647e10,3cd5d629,19bcc905,ff7ae633)
+,S(4f0a22c,ad6ebf6c,e6b444dd,35a54e38,70017bae,eecc14cc,3f7ca88a,6d4e27c9,1386d40e,680060ca,bb46d678,d2be7209,418d6f72,d3917e20,7b833124,29b43ea1)
+,S(873ccb39,5c10f57,6e50093d,44879f2,687d9321,441d8a7c,993c1083,ae7b0570,b261d029,dbe15f4,ff70ee42,36f558de,8984db4a,608d45f,4e28d001,e564c5e2)
+,S(75d41857,5be3709c,5c732073,24f36089,b87532b8,e91db4e6,70a89117,9d25e039,47e29f54,fa62ef44,139db763,4b1c8f5c,e027b0d7,e1ec3501,1e8c6dfc,dcd1a105)
+,S(b325bb90,cea81ac1,c79df75b,e7615ace,9b2a9d4c,fa1f4504,1a47e0d4,30b64b67,3024fffc,2005699d,5351615f,baee8c49,8a319a19,45ac8132,71c609b4,23e14a07)
+,S(436c92bd,a6c7e124,5aaffb22,62036329,ddb8984e,624f2469,b30fab18,1269ee2b,2a9f90d,88c01880,62a152d7,e7ed5acd,33f12e92,4e36fab0,bc0602f8,2c1d3e3)
+,S(c0105c64,4e51d333,c7ed28b3,c94292d8,6d9c04f1,89b3827d,f1f22fe2,99bc51cc,d73bc012,1233ba52,ef9727b3,1249babe,bf63cacf,ece0192b,5cbd618c,c48a9d35)
+,S(9f2a01b0,46109d49,d11ee109,5e94c281,1cb6f76f,7773141f,632b3a9,2e5f3f7e,1e260290,fda1caa9,ea315380,781f633f,21c90765,2815251a,fa70b169,e4b0da58)
+,S(4d805499,23dc1905,7fd35a86,feefb937,f2b621e,48946e53,b8390620,3aef584a,2cd9c060,d66be813,12a3fd9f,ebb9cbdd,4fc23431,c3e0531f,4a026f50,a40dbd30)
+,S(76779423,b5e5acad,55137380,276c4033,a865ae5f,9ada0f30,dee6986c,444a1526,9a6fc30b,4f4c5093,b343c8d1,aa204ef3,7c2a6d5c,712ad8d6,39ef545d,1eaa9a57)
+,S(1ccc1998,33f8b121,18227adc,2f27c3fe,8d328b26,684b271e,85f8368f,40378881,da21e917,94851bd5,a8859173,830ddd0e,988ffdd7,f7dcb263,f6755eab,e2d73f75)
+,S(afeea14,e8306fb8,e69689a3,d12efe72,949b6b03,8c4cdc70,c95bc351,1f999030,cafbd04e,79378032,47c71954,d8c2a11f,d60e53b,35045507,8f6701ed,621e7d53)
+,S(cefa268b,e551b02f,8fe50481,44920abc,3d03d97,3f2e9368,d2d2cb42,341c11b3,77440b02,64eb1972,91d2d69,ebdc1de7,66915a09,aa01615,e4001d62,7219d491)
+,S(8625c163,58bfd43d,888ef97b,e33d9938,c62f7f2a,9e7b9735,26dd14ca,7c76abda,e1351920,59085272,3ea7b55f,49c4045e,2dda5ceb,c1a31841,1b6cf38b,b97bc1c4)
+,S(43b8caf5,d4f72519,19630044,13bd459c,f5913edc,ff303fa6,dceb3412,f8e39c2,7d1df179,13186dc0,d7957f61,a3232180,21a6b50f,61a86f33,72623f5f,d3dc1a11)
+,S(163fff8b,cece557b,6fd77b4d,e22e5b55,a6ed51a7,76dfe2b1,362040bc,9e7e4fe0,29204f73,5bc6428,3c510e0e,2192299a,7f6ed56d,1a0cc569,aa37f895,c0c4646a)
+,S(fdbfcee1,69aa6724,b5839a55,e1c54856,86503b51,d1320b37,dcd9af73,2bfc4497,d7f75ba3,7af2f969,31bfa612,446c6807,a207af9a,17269199,77b0d71b,16b11a0e)
+,S(f1981a9,aa585d6d,102b3a7d,e3509e0f,ed002866,b379b4e2,ba9d175e,4e5879ee,bad6366b,71a7cd67,163b6313,3dcd442d,24f9362e,5d0b9791,2a8dbfb5,74517e1a)
+,S(dd3de17f,1cffd240,424096cf,effcaeee,87bf4d30,4a41d5db,6953102e,4b91853d,d136d363,1b9b968b,7c7d1a16,b2302e7a,7770e5ce,afae92a3,8f6e1299,6fb04718)
+,S(b1d95fc1,4e35f77f,7e64f62a,36b26218,86397228,35ccadb8,39fa7d7b,834bdae3,75611c0a,920e0251,345b3213,422959c5,ac66c495,14d50c35,de7aa7ff,2a330a6d)
+,S(1eeb92e6,75f25a35,9ed16c8b,51a5c130,d2210c35,ce954430,ea2cb3a3,af69187,cdefc1ac,40fac4de,e42ba496,eae80bc7,680e214,4117e6da,c2b3bc12,ce9eec45)
+,S(aeef491a,fabae168,9d58c2f3,808b22fd,760e8607,c043c10b,591ed211,6fbb5ce9,b0db916,30810159,7e79aa7,82d8b643,d739bda2,c45ee36c,4f328108,4e55a33c)
+,S(c56793cf,822c3da5,300c6c2d,cf06b5ef,413d51af,633ec77b,b9b68b1d,d3079e43,a423e25e,1eb466da,f521c5d1,6395805f,a2da609,fcfcffc1,2728add5,61eb2c0c)
+,S(2aa824c3,c8c648eb,8bd0c151,b30452aa,c097bc38,a9f53db5,a8375631,25887e06,20aa4bfa,3bb2c5c2,a113299f,6c61102c,7586deaa,938a33f8,4a517dc,4ba78ada)
+,S(4a0bb8dc,1833942d,9ae3428,ed493cb9,5716b50e,c96db120,c18ccac4,f6c3dd9,d0526d5d,c8be139f,53427e50,17cedc51,6b4960ac,bb98d4a4,f07fdf26,640b78b)
+,S(2808616a,309b64c1,5d061adf,ae65711a,a561f8b8,345132e1,5b18fdb0,e476240,d2190f22,7320a55e,ad2dc736,671db631,9b18d6cc,b4d2bffc,cb4b692f,74eeaa0c)
+,S(3dc4b015,13a95221,32ef431d,33435ba,8cf9e6d7,7e4ac75e,54848916,c23e7959,eaa2516b,9b13bc99,1f4b8ba,fa90a6dc,a007fea4,e26fbe0b,a2c5d1da,326d5420)
+,S(473f6157,50af1d8,839ee0d0,eb5dfb8a,c14ce65a,e04e5f03,99fe8666,bd6efe6a,18d204d9,1b27527c,50823d5,222c4e4c,e3e193e5,a282daf2,75d2b43c,ffba8412)
+,S(3b87175a,db1a5e49,1cf7565a,28250c51,9fff906b,ef0eecb,e8e50a7d,a190aaaf,fc58f2dd,16f1a5cf,1a728117,dcac3dbf,3a3963f,3859a518,2616b65b,59e96403)
+,S(12f1b577,1410d1be,d0c4863,360e37d9,d36643d8,e0cf6fe7,8770478f,504174fa,be29140e,6b5a40a1,40559972,7e0727f8,ca904c3b,813897d2,bea089d9,dc2f17bf)
+,S(8658f35b,902afb85,408280f2,3b4d98db,9526b57a,1e6cd0e9,37d8c629,ae174a3c,4060349d,47a69720,7d29e83,d8c82197,d32bb9ae,8c83879,1e09a7b7,1c3e7c28)
+,S(530545eb,526d9657,2ce6cfc0,22e1c0a7,b9965c7c,3c2db355,cb5d414a,6c1ac8c7,99243b26,17f8ae2,898b96b4,1c3c65f9,96a9f8f5,83ff341c,671a2d5f,2d04637a)
+,S(2e808732,bbab8507,e65936f3,fd1d1662,91ada8c4,c0d865ff,849e0a1a,5f08d265,96dbf7c9,53fd2f61,7e149f06,89b66431,88b091d5,1227a1a6,a0ebb140,18a79fdb)
+,S(4272e028,b4b9c90c,44526fe6,b25f5e84,4b8baba6,34ceb2e2,33447413,cd5bb35a,6b4a4076,fc3706a7,50b0c824,93f5e363,f9fcdb64,9d683a1f,fc3bc2af,fc8470cc)
+,S(78712f3,449d07ac,7f8171d5,42ee8b40,4761e054,eb0362c8,3b30cd52,6f9ac60,c7ff5ae1,38ca3c13,79457619,dd76061b,7b59778,79db2ca1,5b07ea47,7aa41bf7)
+,S(be40166a,60ad9af2,d1bdfc7d,9b0660c1,640d4f1b,640ce485,8fb22eda,65d15a21,78c49afc,1d992bdc,b70bab6d,d3619305,a32fe90a,2f2b1b43,38d77c80,b208cf90)
+,S(2fd5831e,6bd5a79b,35bc75f,92e83e4c,9acff5cf,61eaad7e,dacb149f,46d5e6ba,82f38222,4b6be0f2,f52318eb,7fe44a4c,4c0c1b05,8eae3f99,dbdea80f,a70ca3d0)
+,S(32fc3fb,4574a651,472e0328,c15a71e3,bf9a12ca,15d341f1,c5102dab,2ee6de37,7e9398a6,760df809,e5eb57df,8fdc3234,eff1aa8,bef57008,c36e7953,c07f25a9)
+,S(b9018d98,3452e952,7944f2fb,3354487d,a82f8b90,e52689d4,edb2a91a,a8faa6bf,e9cd0e4e,5c5efcbf,9ca25cf9,f271f9c,a2c46b4a,322cc966,e7789607,324348f8)
+,S(a74ba662,32afb3e7,d5c22ad1,c792da33,f1bc88dc,244a8ce5,d4d582bb,b16ced23,444c5512,b49c2c63,4cc0328d,20f7321,a88db1ee,6d525be3,5d2de8df,cc381377)
+,S(40f6df83,6d5e8c94,332174e2,2fa43556,d06f48a8,f52cfd69,820c2c46,2185dbfa,852c5b98,15ba4ef0,18f5d231,195fb62d,afafc08d,fbf9159a,eb5f6063,ca353424)
+,S(e05800f5,f7890a14,6bbbabb1,27924cc2,e33e3c81,eb88606c,6bca020f,1aa71747,ab905ec6,3af1bc11,897a44e,89c2c2a8,3fb7255,c0e7f76e,8378e59f,1289158f)
+,S(7b75dff9,a1afde87,be8528f7,9df63d70,e4df925b,a15f01c5,8e8162f0,89ee735e,bc057ff8,bdc9e37f,554a6ad2,3ebfeb2e,5d64adb7,69fa0082,2b2d4902,ca82712e)
+,S(2fb81423,3b01e312,7ceabacd,a9ca518e,b1ab993c,bff855a5,20a96f52,afa9a0cf,a7e4bc57,b53affba,9e2cd875,9665cd9,215fcc,35dfc402,4d1db86b,9605c4b7)
+,S(f346a33a,ec17d0e6,a10262f2,fd8185eb,f80a1fbb,f6b06bdd,1c04f18d,75dbaaeb,c09caf81,120586fc,33a6a0bc,97ef5cc7,56d20806,1340a1cc,ba9955ff,4a059e10)
+,S(d128544f,a5f5dd38,62a759b8,5d538baa,63d112e2,f8c343a1,1bb3b8bb,ebf548d8,7893faee,b73f0530,bb67e8e0,9c2806d7,e303dd5e,116bc9e5,93e4dcdb,eac031f8)
+,S(69046ec4,11c06822,59de20b1,a2a8f84c,58c56765,2ddcae,a26f533a,9c706f43,c17a9640,adc07d61,4a264ffe,272cd686,99b9af9f,6890cdc9,ac02c761,637dda8a)
+,S(7b50f61a,9dd7b9ef,7af49c17,6ca5555f,eadf3b67,90998365,29379dd2,a3c85b5b,c08e18cc,bea8a970,7bc34d98,6b36475e,e2e24695,2304df65,bbe0347b,6052416)
+,S(794a9728,9db4743e,c91a8560,e430b14,a7d8312,1fbacfbd,ec37a9bd,c749d3f,c57a5b9a,f0cb23a3,5e9b092f,386cda86,bf2f8242,1f74dfa1,837047c3,ae0d2235)
+,S(fd8d1485,3d2fa064,c4682ee1,1c319a8a,49fa9b23,2cde9d1a,9a44b2dc,93b2f251,8cc4001d,f0121ce0,ad2119d1,7aaba363,ec45345,87fa10b0,c94a5043,f641b91c)
+,S(7b5fbad,8105fe06,6962a72e,39a9a4fb,fac27794,e39a6660,133b9ef4,a6877557,b9b4c9c,1200d879,6013de67,958176c6,dc04ef69,b1021057,de8d3b40,564fbcd3)
+,S(2c7ffc8b,40eda03e,20e64678,68959141,c66f01e8,b7cb050d,c60e8a48,6f6e41f9,cd0f3510,39aed3c1,56ae2b0d,1a117f78,c14a704c,992db297,60d22700,2f71ff7a)
+,S(79533078,d81a6fe8,446dd750,b59ecdc3,8904f13b,48ca89a6,5644aa8c,9233de64,d7c95bff,77fa9894,74634aab,3b8f86e0,ee0bf92a,3a338fb7,f89881e6,e1fd746)
+,S(be96c5e5,d3fb03a1,801a7760,16bf3824,aa16010e,884359b,d5e30658,5f13b214,d156346f,158d0c1a,2ef96a95,86cd8d34,20be21de,6997904,8299744,b40a5d9f)
+,S(165c53d1,9ac89139,c063d934,511478aa,bc296cb9,7201dbca,fea4cac2,16a4fa02,4b002644,1e6f1369,d3603780,f33f74e8,42a812d8,b4e7ff7a,4aeea468,35f67348)
+,S(508fb72e,dbd27f3c,76569185,a18af8bc,6242462e,cecffffb,3352ce3a,da5ccb5e,e1698f3e,1d53607b,4911423a,f2167466,a473a8f1,e2226849,f4dfe551,dfd14652)
+,S(e9be0fb7,8e95dc1c,7b79f4eb,7976367,a85034ce,ea8642cb,19106dad,1d10ab92,b7867a7f,51f89779,a32a7b8e,273f9659,fb84367b,90ca3ff6,afc2cdac,7f596c45)
+,S(e6ea5e6f,97116554,2de16c66,1f15d6e1,24aa449e,960b393a,e5337de1,d4c94800,bbd62bdd,1c235fea,60be143a,9155ffa8,204a1b11,3f19f4e,6e683c7d,e234ca7e)
+,S(ab3f8a0,5b8f5ff4,149a390b,a858092c,9653d159,6d84bbc5,6e4a7a8b,fd54d7e8,41008916,311de07b,16c1b49,c6aa65ed,8baaebf,7a4e75b1,5aa1bc34,37483e53)
+,S(515e02e9,52a347e7,5e0c5eed,a266242b,48bf33d0,70048562,c20feb3f,aecea1e3,797b3ef8,f6c35440,58517c56,ef5c6464,fcb63353,2bd6d2e2,83487a1d,8a403b36)
+,S(520cf598,b3552fe0,a42438f8,55aefb81,3a3e10d3,f4985998,492e06a2,42ef46e1,c69de50e,2bf9658a,40567066,3cac0e4,8c8d2920,95ac1df9,9535b7e9,209324ed)
+,S(26a8e655,4a2cf338,33bd27fb,d96880bc,bcc1d360,2a76920c,37075790,1c50bb1a,ba5a4560,5ddc5236,2a0d09df,3247a507,9c87e652,c4ad35f2,e19ecc9e,ec1ae4af)
+,S(bd06a5a2,362ac91a,759dc578,dff3a3f8,102a67ae,a86ac11,5ddb2e14,bc1bba44,e8751dd7,153537ca,eec17988,98337cd2,abdfa554,52c597c8,61c364dd,78f49de7)
+,S(ddbccf92,da0ab07a,e99fda1f,4a03927d,66b0bd21,f1e54fc5,afd4f329,35a0cae7,26fc18c1,52755bc5,d68dc3f2,461d60ee,b4dfc02e,a04b4779,6e7725b1,23acf8dd)
+,S(650e1616,2a30c776,b54130c9,9fbbf567,32e2bdde,f667b09b,9b7f25ed,93c0737c,14972f76,429eb04c,1ebb0583,8c54fa0d,309fee09,a55d7eb3,700be0df,5801d56b)
+,S(2920d280,41ad7365,cc0e33c8,7a3d6f3c,f9fec9c3,b00e5698,55ae3b83,8cf08973,3821fdd1,fe36668e,16f2cbd0,b2704fbc,24354f08,8ba19a1f,67d1b11a,b70c2d68)
+,S(3842fb0f,1b26bfe7,535c9f5b,cee85ba5,6cd491dc,346829a2,a178ce65,c5294302,8e02342a,cb0e1233,9e638018,a125622c,5f66ab52,86a74a6c,28982c25,aa3a0fe2)
+,S(9c21d89f,f1142d24,1e62c1df,e0481268,c2273d01,f153af5c,d31b3514,5b9b41ac,f5a924a1,d60e1eb3,72837535,4e252740,593c96f4,87328e9e,2a80cae,15fabdb)
+,S(59320ba5,c9088701,f354a3a1,93391880,2829ce91,be9b4c14,c9018fe6,4fcd387a,610e48aa,705e2e7f,86a6a12a,817984a1,7bc60f9b,abc0ba9f,775f3446,8e3f3815)
+,S(d800691f,83c2903b,1add209b,35d796e7,15b805a0,9bbe6120,3bf68a08,a13c46e5,21d194ed,bcb8bea0,cc35a9f2,328f1689,cdacc58a,73f65a28,56811e54,d96e5576)
+,S(865588f8,66c21986,7b9643d8,7f1215fb,90fe186f,46478e8,522a5da6,724f6e8f,91a6b315,a7ddca8d,b4ecfbc3,9b55eb81,393f4c51,f573fef6,e7ca0c9f,cc551e7d)
+,S(9dfe808f,cf7f574a,ddb251c0,4b053d00,8915f8fa,5a975479,d43c719a,b67aa4ad,4d40cc00,ea6720db,ff1f1339,7bb26c0b,281686a8,726fa430,bce0e4e4,ff01b01d)
+,S(835f1c87,cf8d4420,72728601,ab6aef63,cd0d73a1,80f81f07,f5d57cc6,bab5ef7d,bac2d1d4,c8541f65,be0644c9,40a18f7f,d2c30360,2083a455,4d70a111,1c5bf07c)
+,S(9562dc71,33c48e4,b46d73ac,d42db4c0,b0222c4d,dcd0e76e,b4f84969,348fa46,7cfe0965,96f691de,d358c00e,a292975d,465ef064,e9437556,40bc1d4a,33c3a0ba)
+,S(21afe3b9,4237473c,dc032588,c4c1b7ec,853987a6,dcd1fce,2c48bbb6,8d0f3b45,1751c5ef,674cf88d,d5385943,b40a20a4,6d20cbd3,9876adc4,a4a4bba8,477e78a7)
+,S(89809c4d,572cc5c1,2241ae09,fe1cee6f,71aaa292,c9ff8d6e,c3eb8a92,8e144ebe,462c023e,1710ed77,bd47d22e,e222598c,68cd7c56,b004369,a9356a47,ed6809d)
+,S(b7c6164f,b9e175c1,5724c596,988b496a,b9f5b0d9,dd45d0e6,4a0f08cb,9000e3e9,1a13e8e5,a23b40a0,aba44bad,5cb4d37d,a6061157,aeab7a0d,d327242,ab2ad11f)
+,S(62088450,24eef2d5,4fabe8f8,fabf519,72908ac3,23596378,c377c458,9719bba8,26216b3,a353295e,a1877547,b826c240,351f227e,293abcd2,e3967fed,30391f5a)
+,S(dcfe82df,4049089,f3f8b275,120ca438,998fb22f,e11d40e0,9d09c4ce,c12ad036,388f9754,39b1c412,10014136,c3b58fe3,30ab524d,d7d3524b,37ce9133,5cb3bf3f)
+,S(324ec5b0,12de7919,2f27f5ed,166344e1,934b3527,2b197d28,9a634044,5dd4bce1,99944794,579e12e8,c5c0c11f,a8eae5f1,88cb8cdb,3ce7814c,f89e3f1b,a3d3de0f)
+,S(b3a70b0f,af96cb56,7dc4245,13ab7c6c,bbc38634,faa0c286,b81b9754,454a363f,b507745b,97843c90,170f8ffb,f731fee8,4532c1d0,6b2a077c,2aba5d94,189545ed)
+,S(c4a6ff4e,cdf1ac83,29a1cdb7,b5165d88,2a1f1823,d1c38006,1b53144f,56187fce,6f7d0fc0,c08a7ba7,386f9a59,330996ef,b13d9d21,eb6d3915,4c8fb919,66159919)
+,S(61d9ee96,1ef58634,5c4a73e3,a8c3df82,eac28aa2,6d740cbe,1833dcf6,d5a38811,c9e4a482,1700107,f2d4af3d,fcc74e68,8123b589,4da1c2bb,1fd926e7,11330892)
+,S(67ecbd0f,4f4fe300,49390655,5289c9a5,cb6ac090,dff38502,75f7751,a84c6172,e422b1dd,10467cfe,921028f6,71cc75cd,2be5d8a6,75e644e5,d3c40b3a,2836726d)
+,S(47f6c669,70898fa8,16dcd4d7,4553c644,2ce5bbe9,cda91324,ee3bba7a,868ff0f7,e56b9590,838bdfaa,1c2be1c3,95f775e,4a0b3982,d0eee531,26ec7ddc,9e3f77a6)
+,S(e39ec9af,c8dccd35,4b155dd3,1d1750cb,ab096807,f89c8afc,fe61e6d2,e348cfa3,df3fca08,99158319,b93bac62,88c302f8,a59e175a,cda9fbf7,6f0ad59,8358088)
+,S(2d1aae84,500037f9,8e08b64,341eab03,e0f1cdf,5a079b46,738746c2,18b3a0,747c23ac,8173adcc,de767d2e,ac156384,ddf40797,131a6167,c32486aa,12c89e5)
+,S(ed1bbf04,d4570df5,8f584158,1fc47665,481ebf59,cb88322e,497d128a,678c2b4a,a40765c4,772da2d0,b3c8f107,22ec3931,ab3fc8cc,c28b003c,bea1a0da,279c8fba)
+,S(bcbc3e1f,7bd268,93f377b2,eee4b76d,49a8a603,738de309,5353fde3,deff55f3,fb697a08,2f2570bd,1e9e4ec3,fc7f6c81,2a27a7e6,f7b8a53e,30da80ef,f59ef2cc)
+,S(4f98b2d9,2f0b5d57,51ed3784,94cf4de5,65cf632e,982a270b,2746a5a6,3da9333d,43857e7e,437bdc02,6dcdbe68,d056784f,a2cc606d,7ce09a0e,12978a74,5b67e529)
+,S(9dbb995d,d0667371,1731bf05,c8029035,2b413411,45318de8,2236df5c,87728582,c0a90e4c,6fbc0665,f8cd9fb6,fd59ea3e,f6ae9a16,9bfb71fc,5fe73e3a,4d665f86)
+,S(83692208,1d099344,3d979c51,90940e44,5465624d,3a945c05,7885cd00,5ce6b9e,49be5e40,2e1d05e0,67b16279,855bc1de,6f0d8aad,35d8bc0e,142dbe87,33a14e13)
+,S(f713e920,7a699b68,12d7ee9d,1475ba85,a6c56af2,8b73ace7,cf67ed6b,55650e97,a5a2c2a2,45012812,29fc71c8,103db717,48a51f88,61765d31,4b9ec278,3d0aab45)
+,S(919f2d21,256ae682,fe514320,9c6551cc,d165de1b,8213fdbc,9c06578d,ef705725,9780da96,eeaac4e8,c96f3d6a,89c222cc,9b16b4c2,e8faad4d,96cc0136,a06021d3)
+,S(1738093d,197a5ce3,cedd1fa7,e2a8ff03,959a6c23,6aedf9e8,9dbd74c4,d82b6e48,74363112,d16b829,d371a0c,f1b3bcd1,2000254e,196ea80c,a9d46570,1ee4a1d8)
+,S(41242a81,35811b36,d4ffc40d,bbdeaa7c,cce36135,3c4fc9f2,d23191a4,b9c46379,7b894326,789f3071,374983c7,cd2a5ad7,e0ee49c5,e740dd33,817a31ed,97c388ba)
+,S(894a6ec9,96eaa8e0,9e077b34,7b4f1e1,a387c930,a526c469,aaefc0c5,402d41a,a080fb43,c8e6bc6,388fa766,2398e096,b65032e8,26c5a9a8,47793924,4dcf5e41)
+,S(a71f2131,3599cb7e,8c1058c9,52a5712e,661d01d5,79bc7ee5,1fbadd35,34ca5d5f,afe5b47b,663ebd7c,d788e0f,d3f963c9,ac63ee24,b7495e61,4a5d6553,9ab5f859)
+,S(8f330e77,82eb62e4,4ea389f5,7f1c58b3,458c5d39,127d9783,6ddef8c1,27fa390,894e6142,bc359171,999489e1,1ed08224,4a46100,136fba84,e2b8732,e9bb626b)
+,S(d2f0700d,6124c46f,a64cb709,1181cea9,34fe0406,21267334,c85ace2,cf05fc6f,8dc30ae9,83a95b74,2d800490,fbd8c290,bda64daf,f82d8fa5,e69243cb,43556cb4)
+,S(c2478e89,8c075873,ba6cd5e9,6a730e1c,b6ade2f2,7fc9e7ec,93da9201,63f88c32,c6412063,9921d8c5,77dced53,76907410,82b1b4ff,4434bd,9a55b6c,8591ed5c)
+,S(c5bc11a3,4e701898,d22e2920,2806c880,b24efa7a,c6d4ee36,cd440386,e4463a10,2c2b89fc,48feefc8,8bcb4ef5,68d16b44,cd7d8c7,485c9703,91c1c243,bf91003e)
+,S(4b3930e8,21827b05,8c487bd2,fefa3458,6d0d3f20,5a2236fe,1b735d63,ac8c62b9,c38a29ad,c9b9941d,dc92a0db,4ce5f312,252c1f66,8a3189c5,595a371,19321c6c)
+,S(fc646e3c,eab5a96a,1785da2b,1b50f7db,f0515091,76ade1f5,b057d05f,3aa3b8fe,b2014537,dbf2637d,6f683fb1,6af00d5c,63d4ed59,cdbdd673,f3bfbd48,e9574dd5)
+,S(c0ada793,e2d9ed24,8ce307da,a6bebffd,3df2fc27,d2001dd4,5dbfc7be,c5f97a0c,6f3a787e,d40f073b,4965d52c,40700f66,da93f679,9efceafb,4894788f,5c9c7fd7)
+,S(b1a45f3d,f2d45a,e21e43af,31ec3159,e8877d91,3efea814,b66f6fa4,a227b157,d988122a,eab167b9,f89db9e2,dd82405b,404f8a9c,a9acfd29,81c8bfa4,273ed248)
+,S(4e19b9e2,ad3e421f,1b85a174,89d8841f,65672fad,9a17ad70,ca4fcd12,716d7a68,51412d39,59b158c1,3905c267,f5cf66e2,364aeb8,b66a11fd,ea6f5471,35db6dcd)
+,S(533ee2b1,379a6ddd,6e5b3a2a,3a197e7d,eece722d,5c5b9c66,5e1be9dc,f3c09adc,b91b7477,fd0eabdd,bdc4047a,9bcad0cd,9da8496e,bd328fa3,a3ab20a6,3508a6d9)
+,S(ccdb933a,816ac55e,c8fb97e1,504fa512,67408fd3,77aeeaf9,565ab66c,a2033b94,20299202,99b57beb,5d3817f5,26aae569,b490b24c,d5834dbe,8b05e8bc,89110de4)
+,S(770d7c72,2e9964d6,84dead28,328b1925,287184b4,6e3abbdc,534eb87a,e0ea5873,363c73a7,bbb9b2af,3c0cc91,6f8ffe74,837a99c8,58b5464c,9f253764,e4a78285)
+,S(d440dafd,b1d0609f,7c2354d5,74e711cf,852b364,8827fd41,88228ca5,98f71eeb,57d438de,c1aa78b7,c872cae5,c6803a2c,9844809c,7bca1a54,1be6f779,893aae1c)
+,S(1602ca76,35ee0795,4fed3cea,d3e54470,41033887,2f060e19,990f3cd3,501b951e,1ea7f857,4b72d3e2,bd45fe36,c828f18a,5810812f,ab6e0936,a7854ed7,c7e32bd6)
+,S(9c4d2a24,e4ad8226,bccab8ee,96960b1b,4722d2a1,88a429ad,f9d194ca,6687f7e,e3a4b46f,bf608018,ada2383,5c70fbe,cabbd446,78c9e5c1,35e91138,7d66b01b)
+,S(fdf84be7,5be40fa8,db537848,e2fc8ba2,b7c58824,74fea4f4,6e8fcf15,f33d3bb1,2af57dd8,60ba0e6c,dc3606a9,a902420f,9283f721,70ce32d8,39c33673,5da1ff77)
+,S(6083a785,fc5aedbf,34615139,e2f97964,ef65d254,a38251ba,203f8ea0,26eea81c,bb4d48bb,894fb656,22cd752f,6e3bc6e7,670a4bd2,64675035,8481561a,2c18439c)
+,S(e03ad08e,5b4b9e01,5103e028,668f09a2,7d2f5254,25c6a985,6dfee667,6afffb82,f53acd57,1ab23ddb,d6b104b8,71d957c7,f254bc40,c37017ad,f7350e18,7a24865b)
+,S(5a382a4c,88656b6c,4a5c8dcf,4052b1c0,a0bbc0a9,86289ab0,e212fd24,b852d9bc,912caa9a,32a10900,eadd0eec,423f710a,3e0aaba7,93f7b675,912223a2,6ba14f31)
+,S(37dd526a,b5392b03,3bd05ff9,3952a31c,7bb0cfe1,f02f4f57,3b8d0ef0,c05d5ec0,7e329228,36595c82,14c8a776,15482931,98966225,4d4315c,c236c156,254e3249)
+,S(ed4460f9,cd4bc957,aca653a0,5b6f0935,9dd7e19a,6d65c60,ca585ea3,ee2e1263,733af30e,6edd2b2b,317bba97,d24abd7e,41af6256,e7353f97,58357ff4,1a701829)
+,S(eb01d9cd,50ff4778,b29e5096,93388ee1,12cfbc35,2c1b1382,7b3195e7,44a3bc3a,24877b7,99b7a2c9,db23047a,3194e9cb,91e5dd50,d0f1e252,b6f3bfca,f5b4d110)
+,S(9fcfa274,b180ce82,14624545,22bb9289,1e0a8fc9,71949bfe,7aa25cde,88dc284e,6787be0a,12a76a23,9de45596,2a11f7f4,4051fbbe,3ba7dfb3,996c60ee,97be2b9)
+,S(c8a0d869,87a7a854,99bd5663,30a07d67,70265d8e,cd3286ce,c9be4d02,6145bff,a65c64e4,af865e6a,893e902b,b06c43d6,10bb8181,134a4b71,d136b5fd,f42982a8)
+,S(374294c5,932d3f74,a6e74731,6c6a84ca,dfda6d35,5edd914b,70b26161,50628735,ac47d048,8433754e,3deb79c6,7056d828,14d73bdd,703b299a,ca910180,e518672f)
+,S(baa9e3a6,2b4bf099,1fde27ad,4b043b50,76a184cb,4f9a6da9,9b56ecd8,a2ab99e5,1e8e836f,f76043c2,c187ee45,7138cf3a,270e2d3f,5bc96979,c12c34cf,9205c63d)
+,S(72f85ea,784a5ef1,71516c22,13abca1e,8017db34,4e00b397,4cb509de,a124654d,c78ec627,6cbc5072,fd75b28c,8d395f13,e84731f,7767448d,e06c0ba7,372968bf)
+,S(c9173d63,bf5a1301,f0750b1d,e3cb7061,bb9cdd36,296b422e,d23513d1,10b61903,d26a6a0a,ceef78eb,73c6b031,a5455d2c,2a9c4ab2,d916b7cc,7b8e627d,6d581c56)
+,S(865ff86a,58fb9853,8bcfe496,26c0bb89,e419083d,f21dbf6a,7b13e041,d5cd3f18,f0bdbabb,8118de57,bce9a90c,83529ec8,abfc2812,ab0088d2,8ade4bde,fe2fa383)
+,S(3f14eb28,fd9852c9,bf4d4497,4d794ef1,c30f7748,5c7bb766,6f32fcb5,5ad910ad,e982971b,ec014b05,a9b5657c,a0bf45b7,adfe19d,22726075,80b42eeb,f4dc5217)
+,S(61dfae27,c7bb68a1,ede331c,6499a7ed,e242457a,77e5a606,cea82e9f,f450d01,973739f2,c1e4ff77,cae3cf59,b481e730,5ebe8196,c5b62b9d,a96ae224,9b83efa7)
+,S(e319690b,e944c297,f7c1bc1f,462ac3b5,a74fb913,9b963384,ac11046f,4343883a,3dadda66,538ea9c8,8fa0c02f,208ede8a,b6ef3480,82af4a32,2ddb5fa7,96d2efeb)
+,S(f3db5e84,a9015b39,1617fea6,58143553,baa1975a,ab017012,38dc4243,7d9eaf9b,df55628b,c50cb2b1,be2ef193,a7f90e6a,3bfef4ac,63aaeee7,39907906,547d8b62)
+,S(83a7dcd,58742725,8d17657c,ec64b5ed,4807db49,911296e7,10cf349d,c4fc709f,e5201a27,c37cca5f,2f7bf74a,fe000c0f,56643a5b,bafe9f91,de181e74,1d327183)
+,S(b95b2363,28f51c80,b376dd90,a0f92d08,1e395132,deaa8f42,c142f642,3d3611ee,c111a08c,a6dbccad,2e784498,22816422,f2200f6b,bb24842a,f96c9502,13479f55)
+,S(c3ff0645,921f2b9b,2fe590de,dfbac094,8475bdfc,a6446177,6422cca5,6fb549e6,e07ecccb,4b972834,e2711423,c0fba72f,eb0bb7c0,71a9e206,bf7715f2,62f03e04)
+,S(96a37acc,527ee163,51c46241,1df94da3,eb0229b8,6a6e34d0,234bdcb0,5313c10a,46014617,fdd3f8b3,a67269d5,20a49680,9e5fa57e,76da4ef3,59ef862a,c58380c)
+,S(b135c091,ec98a07d,b624fe48,4d336b85,62facf81,50346e2d,d0be2cfd,618d1e0e,24456a71,e8f2cc29,19f53594,6d7aaa79,e3d7dcfb,4af2feb5,ea0a2ad3,a23ec070)
+,S(71d26219,81730b69,b0411b1c,f553c81,6f35a34,e09d086c,4500ba,94812017,c25357f,8915a2c4,98fe0d60,ca979ecd,8bd7ded3,ad6bc9ad,262db1d2,c3d3e7be)
+,S(363cae8,ab2259ee,80283084,d98dc16,60c0934,68e3e854,dd86d9a0,d5e97884,756c60f7,c5e113d8,6e92df38,8fc9a1a2,a4889d86,f7440429,7661365a,ccfd8ce8)
+,S(aef32d83,81ba3804,6e5b3305,6764ce3a,726c4e5a,ea61a17,ac114599,63f36247,dea5fc8b,d4ceba19,89640462,a957a8a7,44ca42d6,901716a,734e6f87,9aadb81e)
+,S(65980f89,e4d0e342,d4b4fcf5,228692c0,9ebfed11,52d951c7,80963e6f,8c81313e,2d594cdd,a1f0b9db,7b3d8815,f7402a06,acba8e31,b9b0c597,8d2118a2,5dffa75d)
+,S(f979280d,7e35cce4,8b9372cd,f73cebe3,6ee08388,e98e6069,fbeeb168,52329433,9181e8aa,bf7d4723,4cb851d5,6b3ca08,8c5f31eb,6b1b8c7,2879cfba,bd3ecaac)
+,S(3b9f877e,286a13c8,a8463db3,b306ad62,c152065c,6708bbd5,68931e8a,2deb537f,12436d2a,5269a319,4f605dc1,4a34fcb0,445be9f4,5cc2bdc1,b96d86e8,b9465631)
+,S(f2c70f82,1f86e94d,426e3e3c,e31ee519,f5a95b6f,38b663ae,9a6aba4e,f7bdc4e5,dc534655,4ba850bc,fef2485d,51e08c3,ab546119,49fee2ee,4dfc4e09,ff203b44)
+,S(e2fb481,da8a356a,ab82098a,f622db2d,6f0a4349,2428dbac,922c1350,65801f15,5f735bb5,bb805980,d85ae242,4855bb2d,5de0c1f5,5018e1a8,e65bc2f4,86b7742d)
+,S(d99e2001,33cf632a,f66c382e,d8ef862a,17092764,2c8f1f40,bd3d7bb,f0070324,d00f12db,cdb6e1ed,d190a754,fcbefdec,ee459be4,d5a46d69,afd6cbf8,4a4d30f2)
+,S(dd765b6b,cb2dd356,f5965a8d,38108610,688fedc,eb3ce48d,352b095b,aa0daa,636258b3,58171669,f0dc68bd,3dff2a6d,bea6e5ef,20060913,66b12082,e2d7fa0)
+,S(f549c14,f099a957,6267ad6c,3adc985b,9d0626b7,3f1f5849,d64ceb1e,266a9965,45a17dc8,30118c3d,28e73a3c,3d026afc,29ecf50d,198afdab,dff3d130,8f32f3d3)
+,S(20d80860,90a192a8,51eddb84,f79b2882,ad7ce8a0,9374b365,61e6da34,427e8226,b48b6947,9febc104,880aa8b4,17344206,b19dd720,e5392bac,7e1954d4,a341eec1)
+,S(b9f383ff,2545078a,c22cf9cb,83fc9e00,e9d37f30,e03ae03,5694437d,c1de2d7f,14f8b209,d1128a44,20dfb93d,3dc9ccb6,7ed22dd8,ecf5a181,2cd687dd,64a2996b)
+,S(2ba0e5b,cec7a4f0,c6edd1c8,2d2f5927,2d97f4dc,3ecf353,8d3854aa,8d6f9739,8b10b217,6e56e5e6,5b99a617,eb71da00,3bee99af,b80e5ef7,3ca8c332,5ca7a75f)
+,S(28b45a0f,3c308ecd,c0f7beca,c62d42b,500b704a,9af39931,b8debae8,8cef27e,9a3f95d,a17888ac,19eb4e42,1279c400,a60a0c1f,70a11696,4cf6943,9fc858d8)
+,S(d8993bb9,e73af10,26ab41f0,9ec5adf7,437ce08a,4295cccb,283657f0,7a9ca3a5,ad8930d7,817534b1,e8407db9,bb8a608f,538b2bc6,9827a234,743382b,4381ddbd)
+,S(77cd88a1,76bfed38,d7dd7152,32e2554a,a644b79,64a85f86,dbd6ffc6,69714e82,4394630a,42436802,1d0a0681,87fcc6a4,dfee0fe3,6db3bf2f,dac6fc58,34faccf5)
+,S(d2557185,9c0fd15f,1f3666d3,aba99e38,89419099,ce7be94a,81ca1045,158f2da,90e94d6e,ac00b9d9,19832505,75bb2f,3242e7fb,fb429dc2,a90e3231,d1316cf0)
+,S(f4e26c7d,4ccd80e2,7620917a,fdc72ca,94178f54,547eb330,77baa95c,d92a981e,c8ff014d,a388dcc4,c634304b,5973b274,785927e6,190c5557,773b9a0b,ef7d7005)
+,S(da3a12a9,50dcd18d,c9e531e9,86f85a53,e7ce5bb8,8f2b5869,9830c44d,8c14cba2,7380a5b8,c01209e9,a1face4d,798f63ad,519a67fe,6bc90511,c763ca19,7e8c6b41)
+,S(3565fae0,daf5d9ef,609bede3,6e19417a,45d8c0d2,59163f71,b4d9f54,43756fcc,7b1ef713,a88f9965,be7e6799,4a936960,c44f67ae,d5fa798d,8c0286af,e9da257c)
+,S(6683fb20,d435a139,bd08c35f,adcc8aa5,8fbb8f48,7f9576d1,6f41d086,3a4e3de6,6a969f08,566afbc,dc98abfc,9d0d4d54,5076ebaf,efc9b966,957f1dd0,af52209f)
+,S(900de92c,cbd4528f,57a72013,77dc1b51,7af67416,1013a20b,30d356bf,e011f508,cb55db4c,8799575d,9dea64f6,9fdf081d,959210eb,32b26bee,b903bf0b,80264c60)
+,S(9d84bcf8,1be8a9f5,df2c6e80,d1b5679e,476e39c5,c30351ef,dc6b0b41,61c17613,8aa0cee8,cbc22e60,b71d9066,3533c2cc,a02b8d7f,7df93ce9,897154c6,2fae046d)
+,S(6280fba,a3c3c8e4,4fcf0f55,a783eea5,2ebda748,501730de,71781be,abadd211,45b74c18,f0c18d3b,76cc1089,8741246b,202fd272,cdd0e866,5e1f4d86,ee527f5a)
+,S(a4237add,7a5ea66e,8a1b48cd,7d5ef195,d90f25e5,6f2f148c,6d4eeff1,805b9024,d512d16e,632bd9ce,6cb1b2d4,c9a41e36,f9a2b83e,73fc8631,1e4dfa1b,b3bf71af)
+,S(51effda3,e84027a,47afb48e,dc5c1937,9a685a24,ded2998c,c2b74422,b1e83fe0,346a9d82,cc07ed91,d785c6f0,dc32b62,e3e7877a,892007cf,c015444e,46001f19)
+,S(87ac6bee,837ce155,29c005a1,6eca4540,de1480b6,91bc0ed8,90fed51c,de923cf4,9a9aa52f,1be1a33b,7280d0a7,3c19f5c5,b6baf99d,3c9c2d54,4a8d9bf3,a25ceb71)
+,S(c8fd7df6,a3b0c0e2,5a931146,72a0af1a,1f995f1a,109e6e83,10b0d433,5dc2666a,3a853149,9b28c2ee,b5baf17d,dba8f57,3cf6e269,f4f21b1e,72bf38c7,79d239c4)
+,S(890f9eed,47126c8a,355658f9,296b1845,b142eb17,4c2270d2,46293ba2,997e5a54,f294c38a,1c929ba4,2a9234d3,249690d,10a990cc,137bda3c,ada4b3,6d4e4b79)
+,S(9329dbcf,45adc298,65c8defb,ee2ce008,a3474855,39826516,b417b9d3,bd47c86a,469a6cde,e1b0c094,f536fa91,f7617890,1be77c00,896efc5d,94cdd787,3886959f)
+,S(6fa5326e,7b161c7c,742188d1,c47263a8,2f1f78e1,df83c664,2546c9ac,70660332,86cfd636,11879179,16d51a4,eac57709,5b8abab2,1024ce5d,35d64b4c,78559375)
+,S(ece2e23b,8915d7fd,dab9e58e,8489b053,24eb1485,d18eff66,ee5013ac,3e0556aa,6a94e4cb,8fdf0549,a01621b4,438c2757,fe9753f5,13dcbb35,5655f9b2,ebaaea58)
+,S(891b613f,413c155b,c2dedaf9,96d75e1b,54a5b5b0,3705808c,f575cdf,1f697ced,11904787,c1fb6f8f,8856aeb9,f7e05bae,f599b78,d7450bf9,13288e95,ff3f871f)
+,S(b7bd8742,d1af6cb2,9b55a307,dd3c0318,6923be55,78ba2797,e38a7154,8d6231c,269e9a33,7a9421b4,cf45938,1961b0a4,3e4a0f6d,f6a0f10,2d7a831a,d7d4cd3f)
+,S(7c6f5db3,1620a83f,b4388d45,75d244ca,1f38a0d8,611300b5,d4fdc9c4,34a16432,d5c0c35b,e4a371b0,3b85214e,f5e472de,e6c8175a,b140f05f,6e52b766,aa313f7a)
+,S(18d303bb,d2bd6f9b,7f941879,6a23fbea,5ece2078,982064a5,e040c95f,c534ad3b,76eaa3dd,b73af546,7b1862c5,7b4385a0,28b03b7c,66729fce,94885373,1ed2dccc)
+,S(31c0daf3,31aa6248,de302243,a768aac0,c8e27da2,c2b8e0a8,7fd74214,b49bb78b,e8e1f975,b77550bc,d404631b,12c72d38,55d3bf5e,5477a588,b11d57e0,e71e1ebe)
+,S(940aa62e,e3bff798,327e806,b644a972,fae9eb09,dffb8394,61b080b4,708f715d,2853e12d,56898ea6,8e922497,3660a29b,37ec41c7,339b8059,2075c7a,2836c1b5)
+,S(66db37fe,3bcfd7bb,25ca4a1f,b2ee09df,5c748061,1c3a6fb5,d0f079dc,cdbf9b7a,a6d37fd5,5d58ee33,73898711,69794421,9cd7a2f3,3becc8fe,761bcf83,ce603b9a)
+,S(fb04bfa,a93a8ed9,3d755351,98895c8f,e90d545f,8eb1d08d,5d7282bc,66026e3f,e77f3c9e,afa2791,b4db2f69,3438d051,47edc983,a8541296,a8cae9a2,174e03b5)
+,S(5792afeb,7766365d,e6b36beb,aafde8a1,8e556ac4,207965d7,9e18c1ca,63465c78,95fa5ad4,4b93db96,2c26d740,d2aa582d,da19b761,480ecadc,212452ef,cd885b40)
+,S(186c0feb,6298e341,a2440465,547ad137,c56593dd,ed82b608,6824097f,3f83f8eb,b3b58cce,8375d9a1,e63500d,141feec1,38778c46,4be1ad43,7c63256f,33ac3b6c)
+,S(d39114b7,c22beefe,6796b6ae,3f740a39,9e3c98bb,58b647b3,5cb23ead,76eae678,1df690f,383db8a3,86284ff8,f914925d,c688aa2a,8ec01a2a,243eb309,e79aa071)
+,S(6195550f,8ce49ce2,f762011b,2e8feaca,509a0628,eaa93151,4c779616,721b39b3,ee8208f1,6d86fdbb,c75c265e,88090c85,aec112be,a1d803e1,211151d6,cfbeee2c)
+,S(a8429368,37b33a8,2d41a26d,e11a0fd8,7af231bf,30d3eb64,73aa064e,acfd8740,18524c63,c0cf7a0a,b4e0eddd,61717f6c,3221a8f6,3522d35d,4eccee30,b6ed82c9)
+,S(bf42ae9e,a64351a6,eb1d2c64,57d23481,f913de5a,d3c00359,5eb8cb5b,228fb202,2d74804a,34413cef,8d2cb488,ea780cf5,15faabd2,36a9db67,91549577,70a09d3)
+,S(f1bdfcaa,ba133809,f915e0af,1a08fcbb,dd9cb3d8,b62f545d,6b71b44b,b130daa2,51fba8b2,2c7935ed,4241a87,f19c2b76,bc1a288e,3e53855d,c532f0b8,1ee382c9)
+,S(7bf32637,4c6adf01,c7796f59,a11e5c3d,103e3339,a0cfbdc2,dec57f5e,69429bcd,8926e57c,a1fe7442,72d2e89,d037feff,df263831,e40e9ac4,8473336a,269f6b44)
+,S(95b652a7,7f58b0d3,4c6d25e1,c294907f,a22a3ee0,f8e8478a,4e8458ef,37791c2f,e7dc4caf,b5bfdaa4,7185f0f3,a98876d,b50bfb35,a77a8b11,b522196,9f255845)
+,S(d9f8c6ab,693f8058,8c73e2a,9221b0c4,c8f1d1bb,5e1e58e1,8468a48b,c74f50e1,cb38d48a,89c1ecc0,23e0e248,e1991ac4,3fbddf5a,9beeb53b,4cd9c49d,41f42a9e)
+,S(43f62528,287e50,5cbf1a68,18bd99c,9f307e95,84e0d73a,f9fefeb5,b6dff92b,85fbb4ea,b81a0409,ce43ca05,3dfd5a1,9756fb5,f4b964bd,dc409efe,696c2ace)
+,S(425a68ad,6d20661c,ca7d688,6bb9c66,f37dbf29,30ccc6da,dc34025a,5ea7a92b,7853cbea,d7816579,fa98ab94,875ebd2e,7ceebf73,20b50b2f,7e67f0f6,dfd2eeee)
+,S(929ea74f,9b75c327,a7b26127,8828feca,821e4d8f,c5e308da,f3169a2,bf84bc2,f19e6cfe,d8c966da,bb070d42,3c62289a,5193146e,4297fa35,5908663a,a36b0578)
+,S(83da36be,b1bedbd9,4a4ee417,f9faae5c,c20a9763,2c1ab2c8,b997f23c,f6d35c31,a91def1d,7871aa84,eed0bce6,12bf6a82,98d0ebb7,536d8e49,f6757a48,aa7a86ea)
+,S(a2e1da8b,4318fad3,52c8c285,46f0a8d7,8fd6cf6a,b506f8ac,2d6746c6,75f2d5b3,584489cc,58b08663,1cdd1b7,3e61cac3,52c16814,493b611e,ffb94a71,2cd85699)
+,S(5d7c1af4,4b257440,22b82ca2,9923a180,bb7fc209,1990b111,12061b6e,9eec4d2b,b40ca0f6,a974223,3a7b0253,9f0dbefa,1bf23dfc,cd59c747,c290f525,2e960b02)
+,S(e2831933,6cce89c9,993bf230,ae4311ed,48fb0913,b5f35da2,b7531418,b512a75b,660aa9d9,8bfea898,810107e1,711abff0,88881efa,4d9d586d,91381b11,67cc2a21)
+,S(722c1e28,498d3c21,66fb0f1b,f44e3ba6,181a962,75efeed6,ac83b36c,12426031,27a135d2,3b70006b,480c3aa3,bd057bfa,200da08f,f9eff741,6bff7885,4a1795be)
+,S(f3cd71bd,f93f2100,c534d788,ba607845,cf6049e3,b94f5274,84e8608d,7adb9c99,b8e86285,db09b729,dd789293,7cf5fdc,989e00f4,5dcd4916,a6860bf8,d77cecfe)
+,S(36341496,d986b096,5e5ad593,de6f88,67aa6130,889714a3,dc0d58b7,19647318,8cbeb984,a3f4bb5d,75cf77ce,14368b9b,77dfeeeb,7313f16a,8a573953,c7b898a2)
+,S(a48443b4,3783c58d,4b7b2f27,17efafc5,e5ffe24c,a7c26bbc,dcbf93,538fbdea,33bd2bf6,9a64a742,c461fc0b,b0ae8770,9ed47a9a,26e7d05c,b71e4e2d,20c894a5)
+,S(d4364d96,71f2876e,843dede5,9991ac5a,cf92268a,73212ab0,54b1c196,197dddfa,b30038a0,fd9f7387,fb37754e,9b050e80,e0f28596,d251d627,5149149e,880f6d43)
+,S(ce277a60,19ac0b41,16b9d863,5a2555cf,30ef3408,f1a15769,91e48d0f,9465d250,5260ee90,65c89bc,7ef55fa3,d5f5d7ed,594fe592,322b7e97,965a9a3a,5654e710)
+,S(587ecb1e,7c08da9d,75ed0249,b1281762,e9c71475,5c3ae35a,f7d66b53,c83117be,c6dda341,cb7d88b,b4a1b13e,313dcca6,1ec58063,376d38f2,cf142b56,87bafcb6)
+,S(d87f96bc,69510c4f,19b84e93,cd8dd0b2,eee4fbb6,c5c5074f,ea76a209,e059f41d,a9b83947,b557c4b6,41952117,45ddff77,b5952798,66fb4095,6b5361a1,b463d326)
+,S(af9f0d3a,78454c,eb8ca65,c9d7a324,312c01e9,dd8a00ad,e923f2f6,41fb0ead,2d3003ef,29a5ad10,20262c54,936411f0,f8082630,8506fcb1,e1848a7d,5d16482b)
+,S(efd0467e,f4791ec9,9380be87,394225ac,637f906f,800abf9b,1ad5b3cd,cf9f017f,a14308d6,b0d16772,f36da4fd,d77945f7,1d82276c,ec4dddc0,de24f760,965c5725)
+,S(e892235e,39ac312c,f30dfb97,97e88446,dc1f9a3,ef5cb8eb,d540c64f,d6b6129a,5b291ebe,7c055f52,b9fae6ff,cdcc6dbf,f84cad1e,4d35f495,4dc19b3d,64eb992)
+,S(3158351a,542ff38b,12f82b5a,daa6ea3e,6e75caae,600b76a1,16ebe3f8,c9bcd66b,2006c258,a327481c,d324acda,b8ddc331,6a6aca81,44dba340,527babd6,4de975e2)
+,S(f17bbac8,c0a7d2da,bbc5a5cd,4b28e96,4ab88639,546b2b22,d40c519d,25dd448d,14f9f488,e76663bc,278961f4,a33e11f6,98d6f5fc,1eaac638,79ccfae,1ab40991)
+,S(9aa24eb3,44e010c2,d6fd3efd,fa03cfe6,aff67d25,2f08dda9,3d00332d,3065defb,494cc5bf,e60fff11,f42190dc,e607f067,7e355a9,52ccc682,6845111,322ac050)
+,S(3f36168d,77711926,deb0f7ea,b6dad80b,8c755db8,e6705fa5,61285f96,84f1ccc5,486d57cd,b46d998a,5d064f9c,68511657,e53e544a,ee8c5521,87a1cd16,4121c6c2)
+,S(fad18e89,219c449,87551525,6150e4a8,1fa2b23a,b6c1d90c,2e2f9152,ee8cd054,b285a7de,4eeff44b,751b4e51,f252f3a0,be7c2223,a715e301,23e9bcea,495ea7d4)
+,S(1cb1cf55,9c56951f,58147d84,9482dba7,8dc6050e,2897f389,e30aa87c,519dadb6,b9e54a71,93a8e255,b2cf1fe1,80fe54e4,3e17470,60e9128d,bd527abd,c7ef1f97)
+,S(74e68afc,9c8d9e0c,92675d9e,2fc12803,4ce7d22f,e31f5332,d18817a3,bd05efda,1d8442db,d55e8abd,aa1de803,f4fb1295,e9a8710a,3f25a242,7af9a5d0,b5dd786a)
+,S(10336317,ec82d4e8,543dea2e,b8cb597d,3aec0e70,fb2971f8,7c5699aa,e4576de2,f2ccc066,5eae8645,54816dfe,c82e1162,226ab207,a17c6085,62925f5a,ffa3e021)
+,S(b06a55cf,57668bef,6c51bb66,ac8ba7fc,6714c864,ca788279,2c8b759d,290342b3,7311f47e,5b526dbc,e4bc7833,e4c5b45a,190e3517,8f0f8137,2857e7b0,fb1f0528)
+,S(af83a357,81306453,e576c819,d1cdacd2,689b0198,4f108d2b,6d9b8148,50df5523,14f52176,909c7e1b,eda13d20,7567f31e,161a80ac,112e4016,ad7c0bd6,20ec0ce7)
+,S(f8f56d54,54faf536,3ea98913,827d57f2,a8983112,aa8809dc,594af919,3ae5c4a5,cc9d4182,bcb00a0d,cb73bfcf,da46ced0,ecee167d,fd7bbfc8,899063e8,d659dd7d)
+,S(61aa26b7,415001ae,d6b3afd0,1c690177,879cac31,93a2e410,4148df74,733c4ea1,972510d3,697b93ad,60711b39,f3b3c237,771bfbc0,b7238e78,5a786707,dd179f23)
+,S(781f196c,dde0f8e5,10ad45ad,6be062aa,1315c246,85d0ca97,21533c65,627ad492,6f3248fb,e7e61cad,1b01ec2c,fdb4dc4a,b1f4dc25,3666d4ae,27a88d50,c566d18b)
+,S(c422d61,7f84ddc6,4483d55e,19228dcb,395f16fc,e85b5c93,2778f62f,ce8917bd,2f3cef48,deefbbe9,9477389b,be898cb3,90499b2a,615899bf,1e910e21,ed337652)
+,S(c325955e,b56fe9a6,66555a32,72f637d7,3351b65,da5059f2,17748e68,4da4a4a8,3fa27721,2364140b,5b71526f,ad963d01,16889555,bdd42fda,c2b451c,fb70a3b4)
+,S(e393cca1,49142f01,9be9a4a6,e8597354,e34f8d55,b400fa4e,8ac6b4c5,7e50b7a7,e40b69bb,44d6d1e5,22cc30f7,26b7a262,3e5b76e,7b190f07,10325a08,a99fb2ac)
+,S(33e3686a,e4e69510,e939e53d,62fd669f,f1a39af5,c6179364,a190ae11,a600cbf1,cfe60b76,1306222e,7052b0f1,f799380,ed564d47,1f6418ac,dfb13d98,47f9154)
+,S(1c35b5c8,3072f4d9,b3b294b7,69ff1b8a,ed2954cd,a013c7b3,34b53fec,c783b251,1c691a2e,782ff393,b0ac6c31,94f4cb0,f8dbd5f5,b51654a4,3914a458,6b855318)
+,S(147255dd,3af5eb26,119e3d86,b2bed206,43579099,742c4ccd,974f7fb9,83e47fa6,5e0a0a01,7497235b,4766b44e,2fbe8902,aa0e2c2,69e7ceb1,d65c0f34,7a97f7f9)
+,S(9524d71,57304a13,71d46aa,bc43986a,5ece70cb,ea008aa2,b8c97070,6436b237,a343af97,db30b94b,3d8d366f,1cd27b11,83c9f44a,75f0aa93,8c4932aa,52f6ea55)
+,S(8502e7c6,e498d868,3816188,a99d0f35,79058887,dbeb3c03,676b3b91,be7481a0,28bda608,a9e18df9,c304896f,94efa7d2,46ee528a,6061afd0,322e052b,e7cfb68e)
+,S(b89a0d8d,a21903a7,200b196e,46714aa5,ad49c5b0,8fc84de7,8e72ca76,2a3ad3b9,953bac1f,85e4f631,38464a99,e6e3be5c,328b3c10,7523701,c60aad8f,d57e6bee)
+,S(49bf791d,67125d38,496d8ae6,ffcc25f8,97114f6f,9fcd5541,9876dca,4bdd7d7,6c2976ec,1b9078a9,a90f55eb,510b1a89,17efca39,d2fda494,b9013d07,7f4e05d8)
+,S(c63bdf20,1ff5b07c,14273727,ff174322,422b6497,9ca8427f,5f868eb3,a1fcf05e,c4135e1f,1b5a09b5,d628674c,21ead97a,42957d31,92a44de9,b785986b,3269a782)
+,S(58c8c84b,e9f85bd,b26f99b3,cde715b4,4b057d56,d5411c3e,a3000829,27ebe551,15de85b2,1467bee0,d4e0b0c5,114fdafd,410cf720,3ab35f1c,1eb2577e,fc2ec620)
+,S(5fc5177f,e0b59e31,e4abef85,31f3fbaa,e3399bb4,126b6119,c7acac83,777cf9b8,adf27f69,b613fa62,3cff72eb,4dd10b4c,4009b73f,2cb885d9,57ab8c78,ca705fe9)
+,S(1017a9b8,5116ce3a,498888e5,7a408f36,12a6e8b,b18f6961,d6e1d2e4,38902928,24f7a939,5e0d3c0a,579ae611,b733248a,640db7da,929edb24,b11bd617,3e573658)
+,S(d9ea68f4,6af94d9d,232a5deb,c485fed0,d719cdf3,2afe4617,524958ed,751a2c47,e59f2193,db2fe578,642a774f,c4fc8515,f638d1c0,ae8081f,e9d3c0a0,fe20410e)
+,S(61d975c7,e4d7e262,5b067179,667325c9,a32ef6de,a0bcbcb4,a825d89f,de6f7aea,b7a00d17,5a2d827d,37de6c8,667bebd9,da92ba42,4efeb706,54092342,e644db9f)
+,S(2ff5cd3a,fefe0c25,bbb8245f,c9399409,83194bf8,f4599f3,101e9d79,b7f8d9bf,3c154b7,11964aee,5fe9175d,deacabe2,400350e5,3ea1ba23,20d9e675,5aac8fa9)
+,S(cb438486,954c4a00,effd88db,29e0e61c,f9fef94,5b42bbca,8939e0a5,dad9e8a9,920ab096,41789957,6c3a8ab7,249ae2cc,73d1443f,5c650ad3,4da9d473,221de71e)
+,S(9aaeefc2,889948cd,f59fa4ac,352204ab,46aa399a,c848041f,446be421,e0e4758d,8e4d2899,2ef8d6d7,3e1e118c,70729e7b,4e0bc28,69d7b5da,72df7b46,38fb3365)
+,S(ace47cbf,846e95f2,9387dab7,6ed4e272,e32f6215,1e745738,69f2bfbc,720c78f0,a35997f8,37b8e86c,3b4377d9,71098d88,95d6a008,b9d65552,b1385a4b,49c53d3d)
+,S(66610f69,1558942f,8285a9df,3081e431,5c946a5f,df958f03,b2ffde5b,c591850f,be93a2f6,53a8630a,ef037f8a,624e623,8f2ad9d7,3ff4624e,f4240cd8,d3495a98)
+,S(db4bc8b3,7a12e950,706e148e,4f07df0d,a24d1de,615f2201,2dc1befe,f1ad95ca,fd55628c,c260a1a2,e56b95ee,ebd6b854,f548dfcf,2c4a6b99,7c4e95a0,a52c4894)
+,S(a2a7aebf,58a9a58,24d5a996,da18958a,5fc23d8,452d13b2,b254d4fa,bcba959,d6440764,1642f25c,8b31a117,cd7ed90b,dcdc54f9,e652a818,bfa032cd,18bf085)
+,S(2d8846f3,fa8a7a0d,408f8ad,bd76366f,4bf7bade,c255e2fe,595e4e22,cfe86684,2c0a7297,228185cd,3b21c10b,5c7f490c,b01bfe72,9513eb63,f2716d27,f0fbe19)
+,S(27ba20c,a44821f,d6ebd41c,8c29e584,6237d8bd,13b3eedb,a82b5aaf,10a6fc59,68d65fe7,b511bde2,f922f119,4bb411a0,c000b4fd,268c2c86,e14279ae,9a63e42)
+,S(c2f0b611,3a6bebe9,22ec3e97,a3962280,ab0b6713,76a6778e,5ceb73a7,e2894b13,27b90863,65989917,68a9635a,7f6c674e,71a433fa,ce4f1ec4,cd775277,89d290e8)
+,S(8420787c,a0df74fc,5c81d19e,64f7ed56,8bc54a2c,ce1c5714,1706888d,bdf377f8,4a94b5e6,ad402877,dc4c0df,38c7fe41,d9e6e085,e70431e9,99c2b724,e35ae74)
+,S(29d08c36,c45715f4,1eb5138f,a5c2f002,b4021f2b,bdc49592,e4242443,1f4d5f0a,903d61f7,2e81352f,582ce3b3,ead7b6f9,e0340c23,6925882a,cdb41285,6181bcab)
+,S(ccabdbe,f68b6549,2158d4c8,91dd1d23,efa7a84a,a985252a,3a1e895d,757e5f10,94a0e915,2addabd3,d5adad5e,cbcb38ec,e1a045bb,9d7295a,92aee49c,a6f0bb4b)
+,S(5bd30e4,9e2ba9a,745c6ebe,434b8d4f,1d8c34c7,6d478ffb,2871466f,a3ff23e4,1067b3c8,5980ea3a,dd1a4cba,8bb0b96f,ad988cc6,4dd8e206,51eee853,915226ae)
+,S(eb233898,8f12eb2b,5369d9f1,56d754dc,8733745b,30967e17,697e69c4,4fa80493,c258bfa5,e993ff4a,4a9eb82f,ce1530ce,25fe74ec,2bbc2639,683464f8,a26b5667)
+,S(4b44ca53,f01e1c64,8ff41a97,721e7c3,b0d62b4d,b15c5bd5,d84621c,4dee2ace,d8999254,b359a155,99e59761,f42639ad,27caf87f,ed4ddc57,203fef6c,9abbd922)
+,S(ce5ef1f7,6cef6b65,35631e65,d4f47924,df370ac8,ce059a19,5455fb1e,b156f7a1,74c9b95a,a4dc212c,3e127bdd,266aa89c,a4773f27,5607dff1,4438647c,f0e50a60)
+,S(563d7e99,40325aee,e66557d0,b14b7e8e,14f86643,de2b3300,1bcfa7f1,ef788bc4,ceebeb99,9878a305,1a8bd9df,bd6cb2f7,3ac18776,ea78df41,30fd22d1,bcdf37da)
+,S(ff929868,fb5a1b53,6acca702,f5dc1e83,efe8cb96,f96a3303,d107c6ae,ab5dbee3,82828150,fe8fbb3c,f2bfe03a,3c79fa5e,67c33d97,b12faaaf,572b1455,6ae11969)
+,S(1004e4ad,487212a5,8af57ea1,49e0edae,6aac884,2f488bc7,1b75a5bd,4a20204c,88d9a6,164cbc21,52d60ee2,7c8003b6,b39e418,b10c72d0,504a6a7,d7b8b2db)
+,S(28dca143,206abca7,1c48137f,8bebd26e,6c79666d,ce164fdd,ef1ca7ac,8e141a25,ec1dea42,575e5cc0,804f6da3,21ee739b,ff244cb,2b299413,4b8539e3,88f7ccf7)
+,S(cbb81690,a7e511bf,56a5190,b9366345,7b4fe8f9,64b8fb57,36df2067,28e1ca48,c2d2686a,5405dc79,d6a2deef,95a97813,4a434309,c5303985,f173015c,6571e5e)
+,S(3e1e663e,378c44b9,b61d04ca,bfaf65fc,df6b59a2,ae83719,11b11582,978f008f,bbf4b3b8,2010fd76,70d23b07,6018708e,8f78d70a,b2da1efd,be668c9b,d5125d51)
+,S(7f742a3b,9edf6aaf,cfbbf368,5a622318,1a6c3b5d,588b74de,c2d2c049,91d97784,238a4f6b,5cd25489,1b8aa5bb,41f253e6,6a59a020,bce98966,ed4c75f6,b7939e32)
+,S(f073f95f,f6c809d0,9271eb48,abf35b2d,b760caa6,54b0969c,e327cff,f806f43b,6a7eb8ce,9e297e07,170e9287,7fc737cf,bf923cc1,e72efdbe,5b3b4920,6602746f)
+,S(855f6451,5b98ef1,67d3a11a,fec74625,cf3801ab,75df42d2,1b33b1bc,c36d074b,6e8cb794,9990748b,f54a9291,e7ec374f,a31bef56,ed1812a7,7b2ef00,149938fd)
+,S(f0164c7,f204384,d3235b4c,cc1bb9ed,bb10cabc,d69c02b5,aed1dfa9,56c74d49,872fc547,78580a6f,38792974,a64399b8,cd674622,659ec31a,91fea06e,77e27118)
+,S(16e83238,e95e29f3,ebc297e7,fbbc77eb,53431f3,cc90f809,1e540457,aced09bf,3f3c0ff5,754630bf,88ec765c,a5c04da3,f6ca4ad5,e72d9c0,715cddeb,69c4f8b0)
+,S(70d371c8,8b2e47a,47982dfc,bc98ffd8,324b6bcf,2f1aa2a8,f4815f66,dd4949bc,34cc039d,3c69b4d1,833375db,e7315340,bab2452b,2a82163b,dec73702,f4c8da46)
+,S(db250b65,6848570b,5a59a2f2,d45e99d2,de1b3813,46fa6ce0,8bca0b34,57c27d10,2859a0e8,fde87061,d7ea8786,f5667aa8,b2633e8c,c52926cc,c5427d64,a7ae6494)
+,S(d6ecb3fd,b1ef3350,a2a831e2,321cfe9b,6b22b38d,6a8fa0f,b256f2cd,ac73f949,ad83f35b,c1b5c568,49436cfe,6ff17f5e,8abc6891,e24f4a0c,524d88e0,6c3f1028)
+,S(ee2059ff,a2c5bef0,646bf76d,ae2f3bfa,193b8a28,bc74cfbf,a96b48,921ac0d0,3a8f4693,15d6a6e2,2e57edb7,e5897039,153e0283,8d66b1ce,1814ac74,195379e7)
+,S(6dd7fa4d,bc12da89,1669cf7f,b1024a8a,551d7281,83fd221a,7a0ca9a0,8c2aa725,67fe6a0d,fca0fc02,1fc89584,d2a5f19e,ce890708,490c79e3,cdbd43ad,ad24493e)
+,S(15102e09,b966ca25,1a9b4609,16ca1229,7ab64d60,980582e5,e8bf0e4d,80fd6c35,7ebf61f9,956109c4,3cfb52ad,4e60078c,93ea653f,17c7328f,9120545c,48988be7)
+,S(a0697816,4a0511f9,3a48efe1,de74992b,54679aaa,a99e328d,6771386,945e9039,92d24154,971add65,c40e6f32,a5b5fd01,765effb6,c8d64676,c9d97e8b,f857d630)
+,S(ac925df1,3a9ce7db,18b9071f,f81880f7,c8ec97be,4b78a31b,27917d71,da0defce,6347aee9,abe9b2bb,1f1e3ab2,2792009e,ee009011,337fb184,d3f637f3,186acba6)
+,S(74f3c7b4,e237db77,9229cb2f,1fdba8be,9ba990ed,6dd84976,ff92646e,55e21091,44e9a71e,a07e4254,c4dae620,9c437873,7c56187f,23f42224,3167e45,932055f2)
+,S(78f0a024,f6a5bbaa,f3eaf550,92a55bae,73348e82,37dc095c,11ee34fc,3194eb00,54e9b6e7,2f758d54,23d5b9bd,b329262d,6745eb32,c93c2571,f86f40cd,1cfeeef9)
+,S(83d3e538,92d722a4,8c006910,a22f32ad,2ff7bdec,d9bd2ea3,a2f315cb,550a1bc3,a4f3c8e1,732b23ae,9f21c03e,7c3711ff,687683c3,13455107,68278332,8d9a25d0)
+,S(15deb2e3,f0f0b65,5edbb7d1,8d86cedd,7242a693,a271d853,b468d57a,52cbd647,7cb1ea70,8e12acb,6bbec5ac,26f513cf,51460493,9db6cccb,ba712561,a6f4a80)
+,S(6fc5c841,eca2637b,67fcd5f1,3c3dbf40,3b00e4e5,270bccad,617c58af,ac54195,afc3fc7d,92f0f77c,5147ae41,8aae93d3,b5cb7785,d65e623a,391d6a06,1f82d4c4)
+,S(154dad09,40e83686,d0942998,e220f8b6,bd106af7,beb9bc66,1f1a4c2e,29300f20,9a47095d,b2a357c7,16d8773f,18c953ff,dc0ed270,1cd881f,f3088176,e61bd7ed)
+,S(a498ef6b,89b882d6,81ea0647,f83d53aa,d1fb39e6,6bba74bf,8008a43f,197b301a,cf4d289e,f723ad46,27edc96f,5315bc2c,9ad39c04,4e8e6785,222ca142,3f5c2881)
+,S(5c01e4d2,465c3326,1828c45d,bbb2cf69,79cdb746,fb659a6b,44f0f2f1,f388fa3f,315dab9e,5e53f939,610e9729,3e686d33,e46f8262,5ddfb45d,46728b03,927a6837)
+,S(d058f58b,255164fe,e6d60472,2b32624b,2eb523b,6c7f1e6a,7ce1c248,fb3fe505,21761abe,1bcb844,39645310,7a3dd2ee,28bb4dc9,93dcd0e9,a09d5176,1a7c6536)
+,S(eb89dbf1,67c1352e,5ea2a7fb,206663b1,8c95d962,cec35412,3b9be6b3,51799ca1,9566074f,ec54174,a49a5f84,e4965174,408425f2,22d485ec,b020740c,74b08ef1)
+,S(19ddc300,84dda580,db5b1230,b0fe9508,5575eb10,680181ff,ee0d521b,17b39cb8,6af18172,bfb03b77,db456836,b9617f05,bbcbcccf,f6ed2dd9,a9c6e734,c01d188f)
+,S(66240aec,7e72f707,69560e0c,f31f2c41,9a8efab5,32f17f59,19bd56e2,93c41e13,16fad661,3600a79d,41eba5b2,d0721dca,afe94372,fe83b20f,7178e29a,e6f3949a)
+,S(3c75905b,9e7c7751,9f4617ff,6010c39f,92b852fe,89dca73d,cb3f15b0,23f7a286,799ffb8,94fd4f3e,61dd489f,da746fdb,ae955eb1,3c8dd9eb,e4f73d41,2feccec1)
+,S(9719a34,e765cca4,68ab3453,3c6dedd1,6247af51,b73295f6,8b936914,c03f10a,4d4e7f2d,ee3aec6f,71fa8978,f532e995,c0e1533c,5cf0b51d,f35d8f8,29cc10ec)
+,S(e32f292e,e5c41e2d,bd262c45,eda0b729,713207c0,17fa5c47,c8bce6,ca550814,105716c5,5995ffa6,998f2209,b9d0b37e,f2bd78be,527f6c12,b707faf1,ef73a82c)
+,S(76aa4115,595e7656,c76300d0,a60e3316,fd9c1b60,d41920a6,128e59f0,74a9dde5,f3ca0754,b6daef99,acd6e1e6,fb36d93d,e068c0d2,26b843a6,e7e111e9,9df8efda)
+,S(215186c7,ba018fee,747c2030,f57d1105,945b021b,be053da,efb1136b,f0d6f0a9,62994ba3,62d9a8a0,7432690,689a859e,ef498860,3d52352b,e27e0f8f,d02e4de7)
+,S(62e16f47,4d3ce3d8,a21f0c8c,875eea7c,111ca0f5,21c03f54,6bcee790,ab0d48bd,e9a8c8ab,99f916e0,4141972c,f60843be,72088d1,e044b27c,6a84b21f,c787abb)
+,S(372b5966,8b00faaa,a714e7a8,2462107a,3d1226e4,988faafe,988d06a7,dfb27bd0,c6d349aa,6a53d0bb,185e0f59,a4c137c,8622be1c,5df205f3,4b090080,bf4e4035)
+,S(b11cb8c,cd6302bd,e6005ed0,9a1ce2ea,a81fbd9c,748a17e8,fe1c139e,d2d1d725,29ec84f8,e8d627a6,b81a63c,4b13abb,88d7e5d4,9e56e2b9,a3f15f40,60efa38d)
+,S(652b5427,f45d07c1,8cd9afb6,7d5743e2,836d78f3,528917fe,2a5c6162,c4a06d81,3e93d9e4,25ce53a4,915bd12d,4327e89b,64a7112c,5ebae53,35c631c9,64b2e5f9)
+,S(c0812ee9,89fa0531,56847bb4,edd517a6,7d6d7d0,90ab5955,a59326da,f3833afa,2450338a,cf923109,d67b0501,3557f310,f3b0550a,8f1cd5fc,6eef8a5c,14b46c27)
+,S(627c169e,fb0d9937,8ddd0fd5,a73afa16,2a317e56,7d957695,41e52a41,d9344ca1,11dfbcf7,75bafe74,eec503cc,22c8b485,90a17079,580acdd9,c51158f5,efd0cd7b)
+,S(69916299,5b83ba3a,6bf16e2,97e8031e,74dc9054,c05ab59a,335a8296,d876a66d,39e45d50,aeceb888,8a1d64ab,9cb3b127,71269b7e,a14ca4eb,2179d762,4ee6d953)
+,S(6693adae,579636f3,2332a418,7e49ffc6,921aa51d,852b5136,9a96c8e1,cc268574,ae73a660,580a4005,50865060,dbe9ab43,2f304ca5,506b9f4e,7e17f602,1456bfa2)
+,S(ccc178c,7168ac1e,e7bf7579,f75f9645,5ca2b558,e1e709ee,de86df5e,5ebe0789,81c63b04,eddbf33b,432e00c5,9e76d319,fd1ef2f7,d6f31349,1f7a3c10,431a2130)
+,S(d80687f6,89f7c28b,d6ef1531,c4e4b283,c6e5dabc,ad7fe5d9,6dc20d30,e1feeea2,71e24cd5,9d2c33ac,2b298946,bc90e0fe,d229720d,539a6f5,e128973a,9bd6c5fb)
+,S(c53a6911,88f785f3,efc1fe1a,d142a259,cbda5f76,f3e9de36,895a8963,ffefcb74,7a225bd6,a348728d,951d55bf,257de9e9,d88df32c,ff2c4391,f4ddae8e,ce357cc0)
+,S(d512c64d,1932fd1,5636740e,2bbd302c,3d8674e6,52a30d40,ce879145,bed9b7c1,52e336dd,3c7eca6a,469bc97e,a330fa03,1cda3c57,a4354ba2,acffcaa,a1e6b424)
+,S(384aed3b,531098a1,99312d65,74b1b1bb,e79a8bf0,ea4f7a86,c5114fda,b32061d6,f2290bbb,2bbe7b53,eb64f87b,17a9e1,49356d9e,de3c0be4,28a4dc7d,709ef731)
+,S(6db6c2c1,1fbd5b92,31a4e34f,ca2f9315,dde00dee,909b8d53,d7149c6,6e3cecb7,cb2f0b26,e1bcd464,6e6ee074,8efcd499,f535a8ba,f61a38e7,aaae3511,3c781649)
+,S(6bc2f0f2,c0118efd,4fbab4c4,90c56da9,d66c0b1b,ec88e8b1,c8da967a,95d1ae60,a568f40f,24e51e2a,d01c13de,4490f34d,5a5bff13,e005ce77,94a59128,f6d871ae)
+,S(12e4e92a,aa40ad9d,281316d2,358bb0d6,c69fac28,24114a9b,a96091d1,64ee29cb,f717cba6,b07eac9c,34b8821c,218519c3,886d5cc7,a22be959,54b3eefa,8819bb51)
+,S(6dee0e1c,b887e155,e67996de,92716821,7874f9f0,a14c8673,1eaba91d,272705b3,28d9f2fc,23807874,9dd40ac1,8ace2dce,18ac3980,7c7a5922,43260eb8,ededbc3)
+,S(f9d667ac,ec2120aa,50c2b6f0,810b54eb,4928bef4,779e2311,7d12eebf,d093f139,29c9458a,52d4cde7,e32a265b,fb537b3e,5a5fdbe6,ece9be95,b645b960,c160166d)
+,S(e026f66,af79f4ea,52955b52,bca16e2f,b2cb05f4,38568c06,ebf1ca25,e6f5be17,6319ae60,3e733681,c8caa501,d7715b98,6244c1df,1c42d391,d8d47e15,a681df15)
+,S(1ddd29c9,bbb37823,1185f631,23d5e1fd,39c6b03e,44e2a542,318a6f3e,8325ffb8,22d80158,cee2f596,8da360e5,93a2a86,ce1ed25b,77a4d66,a2e7592d,26c2c715)
+,S(138f88f5,f9f46b81,2246373,6034958a,d5476a0f,348ca538,f789e980,9c799f30,adac6393,3e2de680,6fc38d7b,23ec5214,43ab505d,cedde216,6accf786,bd4e4aa5)
+,S(b516a9a9,4630ba5e,7469d5e5,ee0f03c2,51bfdf5,a1983506,79baca9a,e6de6f6,9c184956,7ad68859,89a2013a,5a902fea,66d398e4,6c85203e,b7a143b1,90b42587)
+,S(bb1a5499,548ee5a6,79500a49,a1466b11,9d56918a,735c3e07,31939ed0,2d47abe7,b946e966,2df43be8,6478e809,ac690d4d,b25398e8,de13731e,89867f80,63f8021e)
+,S(394ee032,8be13bc3,ffa069f3,92b72070,36ad018b,503ed70b,9bbf9f7b,458faf36,3a494b0,dd538dc,fa3a10e9,70b83c4a,2169b4ea,255c6423,50f7ee72,40a6910d)
+,S(a021889,ce4c941,606c0226,2b423afd,f44d6a75,483dc4cf,797b3512,8131e2ed,d8ae98ca,572b5a38,cd10a763,6638c47f,2867710,373af6a1,bfab6cc9,64b26547)
+,S(99e2cf77,a0f389ad,a6c21457,d3e94ee5,95fded19,89c326da,3cef2e49,670f2572,8144a88c,a90a7685,ea3155ea,8fa5cc0c,c282fc25,532aa5da,84494b97,94810a1c)
+,S(23c4b50e,80278869,b77c62de,8232a70e,52a4a3c3,4d0d6114,78989746,54e57aca,afba6a63,e35b15f3,1a24e5b5,844b0f3c,b247deee,a764b3c1,1075c3b8,c65bb0b5)
+,S(ae0ea240,91b09648,6bd06ec7,ab6dd488,fd6669be,58c2e91d,e8486560,47493d5a,63e13a3,aed0b2f5,a11e914a,3617b1ea,abf62d4d,731eda05,62251d76,939aea63)
+,S(d9e9ec51,cea0b150,28199afd,70fa86ef,dfa90e86,b9613831,9cbbeb86,c6573bf2,561519ee,f8dd5ebb,df47d4bb,c24eed76,5ff4342d,6ec6e537,8a2952e7,db51354a)
+,S(e674a628,7472d602,8c0b888e,1dc86429,207e38a,af61d3e7,60708721,c1a44613,c145e723,eabf1dc7,f09fcef,1ae24116,1bc0d24e,9c96c83a,3c4e76e4,cdbb9e7f)
+,S(19a43fb6,ad571142,42644af6,a3ce367d,329f44e5,bbbd8948,9368620d,944f413f,29a616f2,5f2bf4df,e516574,cbe840de,9ab9ee1d,abc86ca9,6413bfb7,a79a4095)
+,S(cf1e1a87,32eb52e1,660186f9,6aaa4cac,9248d8ef,2738a6e7,5e600f3b,658825d,379dd9a1,8355ac8a,94a9614b,e3f51540,c17a76dd,3e3f853f,252f0e75,164dd346)
+,S(342147b5,8a1ac1d0,baba5b2d,e924e7a3,b804e385,466f5ae8,29138bc9,5c5b386b,9d8792c5,8917aabb,6a3cbc4c,7f18d2b0,768dc9b9,1871bf48,8ebabc00,f51e2bf0)
+,S(1c24e35d,35fda6b1,f6ae6b43,7599ec91,dff1fbb3,b3d26976,783c0539,a8b9af32,58591ff1,68290b12,d729c621,f5da504c,e697ef00,7d922152,9a76ed61,2dbe8608)
+,S(d0fa4d47,a29e1101,baa08cca,73e00d6,660e2588,6e1b5cce,ee1c2a5a,9fb806da,918cb1f1,608f9e40,37a59bb7,28c25708,db898d76,a8b2e2b9,d4450c64,3606212)
+,S(f3307ffb,7e72413e,2207918d,8a93f183,d5cc93e6,ae07d196,a6d22f1d,253b2499,8a44b83b,feffd6d2,78442d72,51929c0d,42b690a2,d91d99bc,c5dff056,d37e1f27)
+,S(77e612a6,9931080c,7d910573,fe55582b,30eb4ca4,c7b7fe1c,9c4eeda9,b296097f,cc85c0f3,6f020bb0,9705f560,15268e36,bf61db2b,814b51b7,c958f1a8,656c26b8)
+,S(fe3b3fdb,b8d768aa,8248087b,70e6d0de,592c95e9,b9816996,a3b4c88b,21bb9605,23b44ffb,20e8fc95,ad3c035e,3f52fb53,51291965,95fbda63,8a192cf9,43630e0d)
+,S(e664460b,253050fd,8814a2,b2bc0f56,fd8d2f53,94673a67,9a76eee3,f7ae6e80,bf0a7515,a0a6351e,62bdf527,6974f06d,be87345b,438eea33,ddb980fc,788eec9c)
+,S(b8ab3266,6cb96b06,a363d87a,a7ee820c,695b7372,b9341b,292dd0f1,d5fc35af,720da144,39ac9d53,c480dc25,5eb45ffa,b9e406c,8eb5bae5,1c145058,8120f900)
+,S(38242b07,d1904c72,6da9ca1c,f1acced2,96c1c4a9,b37671c2,e529917d,a651b99,3d47a793,688603a,d6ddfc87,1c85a19f,e21ac51b,d292ff7c,69e219e5,7a0dea85)
+,S(ae9a9354,e451abb4,454766fb,7eaac21,5982008e,6cd47d7d,df5a6289,27131913,46d291c0,7f99fbb8,2eea4c66,525602f9,6af5c16b,f4c31ca8,c26a831e,a39985f)
+,S(59e59fd6,6a89a538,f5277950,816bf2dc,7070f70e,98d04b95,1b83a80,dab205a9,cec6b519,4d1122d6,dd3e39a6,fb3e80a3,2d829158,3ddf0bb0,3dc3086e,9f247f4d)
+,S(59aade5,c117e92a,97ba1785,2e1ef3f6,d000620d,a8f82e2c,1d4272d5,34a8e22a,6a6b6ab1,bd9a69cb,181538fd,eb4a9e8b,eda75811,96ef31ae,deaf516c,e68c1cc3)
+,S(f29d02a4,5b464774,fbc1bcd7,7caaf22f,12efcc9b,2a569966,b9adbe8,18a9f075,ba87956,5e0a1c56,fd03175b,a781110,3f34542,ded10367,6d44f706,7b8ab418)
+,S(db630bf6,e9ff0092,eebeebb8,a5bc72e8,774c083,cafa0519,2e6d913d,112181a8,6b764e8,2213a7de,79b9abe7,edabf502,d9ac04c8,eb5a4b26,9d22b666,f657685f)
+,S(45b9f064,71b848c7,48ff3fc3,34d425d2,57a71abc,27c4d002,dda26c77,1b09d2b8,c2119389,e4cecaa9,c0c72e4e,20c95cf9,1acb1698,c0bcfd42,f8620a9e,d781de57)
+,S(d4919e2,3a278aa4,25bb55cd,2fdcde2,eac63058,4cd57f50,390c6a9a,1015ffb4,f8e9f461,950f17fd,8c46f04a,3a6f3c52,5318cb93,a0aa3f3b,bf90c02e,80e1c288)
+,S(ea000677,2a76378f,3faa3c1f,c7227cc1,4b11764a,3c9a14c0,4f18f9d0,b55acc46,eafaf0b5,9a308182,8e6d07d7,2e16509f,bbf76fbd,e1473e35,18b795c8,87ff84c6)
+,S(70b539a4,4750f763,be1145b5,b433e98,847545a2,8fc72986,2c17045b,f0d6fded,d5438ebf,18eb5feb,fcf6edae,4fcca2af,e0208adb,2f82648,2af428cf,bc761464)
+,S(10b4a235,99ce2be7,fdc31f8e,ad91523a,47b8162f,8ed9387b,4c208657,25fa88d3,773ef1b3,a3943b86,729661bb,6ce6f4ae,e8c7165f,97a88fe9,5df9e027,3ccf9e7c)
+,S(67d7633,499323f7,cc378c5e,2e62cc6a,5f34ff83,e11e6061,9ec4a404,d63b91b7,cd7616ed,60f0f4fc,1006dcf1,850807d7,e8730954,30db6761,cb7cbbf1,a9c2958b)
+,S(5744c77f,8371057,61b1c782,1c9d9c53,14219e1c,5df80ea0,f772f9fe,ff157aa7,578459ee,13ec92b8,b685acda,a153f24,f6c844bb,e195ad58,77364ead,7a9e5fa4)
+,S(7c6b254d,39ab709c,cd63c2c2,56c43483,183b1b27,25ca49a3,19753f68,6486ad02,5669fcba,d8662be6,2d12cde6,30102f3,70f7ef0b,5b347fa8,6000ae6f,497fad6a)
+,S(8ec715c5,bda8f9ef,3b197ea8,a182a3dd,6cbc3b8a,88227e00,53a2eefb,b2006676,e59ecc81,aea7f2a5,4f659bdf,a317bada,3f8ccb7b,134ae21d,733b9710,335e73c9)
+,S(fc7eb1e0,95d0b18,58d22b5,ad36fbac,1b513d86,2bb3c9ef,61b55a5e,985e642,7206dfc3,10056bcc,4071e9f8,13495744,dd903d72,2aa0d6b7,3fb35394,4b66c85d)
+,S(4954bd00,308e205b,90c191ab,6262daf2,81939084,668c43dd,1ae998d7,e143f1dc,8efa802f,e67f72c2,5b4fc279,4e23608,7b343d89,255272d6,3c3968c8,7f26237)
+,S(f27e6c84,f60858e8,2eb53d39,a6860189,9172da9c,e0d1ea70,9225effe,23de6969,90533e33,321f1f5a,ce37ff79,b4dd3109,a1efd6eb,de502aae,4dbdf58b,1e697c74)
+,S(166f3aeb,cd040509,85df120,edf55c1b,f6eed0b5,fb24173d,c7d9125d,d0b2b29a,54b8de8b,c24b1cd7,8f89820f,d4b3ac6a,1588ebce,6de99b9c,81773ba,5fd32e20)
+,S(c0797522,8dabaaf2,b46108c4,88ebd104,b0bfafdb,b344b5e0,72f6cb6a,f58f3cdb,bae0280c,704e0d0d,2d421b20,828cd00d,9b388f32,fcadb511,ad5ed4de,281a4a29)
+,S(81366739,2085f96c,6a39c9f5,ff60b51c,4991a289,7106619d,1ab0de9b,34de87bc,d7b8599,2464c1e1,9f575cfd,de5bec08,987230b6,20d911d5,d6dd3d2a,8a75e079)
+,S(335f446a,f3964e77,8f4985a5,c19e371b,876494b4,467ed700,482558a,9cab3c65,6e8fa42,24cd52c4,b78af9de,b7efa726,c26a94d,85bfeb6,fdb1b97f,674cbe6f)
+,S(b6a34b42,bf5e4781,df14fe99,1a14b414,fa488da2,29314366,1ba83ecf,1e80d60c,b633c9f3,cd359dc9,2ce47287,670fe80e,131315c1,6fc17811,f319f1e9,82f88e8b)
+,S(95f99013,a9e937e6,ff784b07,23287960,5eb4532,e16b3881,25a18012,17ee3ed9,2d0fa2ee,1aed211d,5b90915f,f3b2116a,28528f19,35b6b534,333b102d,177c08a2)
+,S(9c0923b0,d681933,bc8bca36,a6af4058,682c5661,95d3a211,a1ef602f,933f6a45,a72df8d,a9a951e5,a63f0424,4974d74f,fb809cf5,fe7c24da,9c1715a7,2419c7d5)
+,S(931cd34d,e32188a8,802b6a73,204eadf2,cae8d8de,52423daf,daf042cb,946657f1,d84b7406,d58c53e2,89ca15bb,4ba78db3,6bd2947,34d0ee9d,6939c15a,9f28b856)
+,S(24be4b41,f845c43b,5fc594ac,90e3e4aa,b49cc79c,4b0a8408,1803c27b,ce62fe4,c6651cb0,be54ab0,78940179,6dca2448,3d9349ee,e45e78d4,b786a636,83861bb9)
+,S(f19a51c2,ebff1d77,81b0e7f0,a29947fc,3ed9dd26,9f0b9cb9,c27c3f7,500c81eb,8e1cfe92,6128173f,556b3ec4,4c394ba0,201a4f93,e2db054f,63934b2,479a301e)
+,S(f6e7e4cb,88ecad49,a1653a6c,5510571a,cec77024,2f490774,a8dd62a7,d6e16363,60842dbb,b8ae082e,9538e725,1a3dd7f9,8edabff3,5444719d,97134a3c,236c97b3)
+,S(e7b7bb26,af8cc2ba,6e54e923,6af55e40,7ff704c6,1264cacc,74d96b52,81f2ca00,3abaca16,e20f74d7,6d11a942,415987c7,8da5ed50,3d781f2f,aba6d534,cbc3908c)
+,S(c8acf1d3,89a29f6d,e0d03835,80a0a562,aefcaa99,b184f910,f2c8370b,bedc4c16,924e9b2e,2c6463ac,e8eda0b3,feee2f82,73050559,1071bbcd,72f6e323,31617359)
+,S(1453b2dc,efe09d16,373ffc2d,42e79805,64ff194c,6b9944dc,b12d3cdb,1d84ae27,2d7faeab,7ca11212,a1aa9d4,a462c04b,8dacd2ec,1f7ee3b8,28fcdfb7,a26c6e17)
+,S(ae92e090,b3c6ae15,68a12c6c,882d1b4,345f0a46,b9ad364,bc869243,dd533f4d,3f50449b,a3865900,ff63d944,27a0b967,56c00179,5b5f51cd,5996ca2b,19ad7abf)
+,S(3086b503,ad8afe4d,fe2795f7,c972e0c0,8d6f040a,1be88309,606fee4d,b977fd06,b8631fad,80689ce2,7f62db6c,d6a56f3c,d3dc110e,610f3732,fa3f2c10,a4d588d9)
+,S(7a17def1,e9c2b175,9944eb35,262908e7,c988f602,2440e151,928dfb44,462e2856,42171a1,f71ae8ea,d437a1d7,e1ec3394,b713044d,6c895930,2535787f,b93fcec3)
+,S(97975e9e,b0698b70,995411da,37ce2a87,91198b90,e104476e,b86c4a77,dc5ce9c4,b8999b7,69b36de2,13cfc81c,c2fffc3,65e5dbc2,db1906a0,ec88e931,cd05bd41)
+,S(839fa603,a2ec722d,1253328e,15f7d187,55ee80fd,b6bc7b09,bbca59eb,316d1b22,4e43cdca,1b33fa9,cf397ef3,91d40b46,fdcfa770,b2be8e9d,9ee22d61,6e12dfa9)
+,S(ccfb8b97,7baefebd,eaf49c7c,1ddada20,861e1c0d,acba4caf,4e30f21b,ca3a05a7,7d9bced6,62579237,a348071,3ea1af91,256e9d62,1265fa27,cc80b5fc,cf75f99f)
+,S(8f9f369b,3f325823,e8c9b16f,f2142ebc,3c6f7bfd,dd28c4df,63d1c92b,581cb6a4,114c7d9b,3f54f549,c10d93d4,25843477,9c297e2f,3f07b208,12335fe2,5771b12c)
+,S(f0deaa5c,324c5ead,6f6f1cb0,cf1dac32,ef342606,3533435,65ac164a,ac8f0f2f,ef6dd597,e2203c03,f0ce0780,bcc1e963,621c1460,7a4ce616,9ee6624d,11c2eee9)
+,S(638362c2,18c9e0e8,72dafa8e,fed86fcf,da5641eb,7cd01725,9a85103,f04fa408,3c224389,bff1fd09,338ea28c,7c9a93cb,32be8749,4a6c629,5c1c3dff,2b582877)
+,S(49acbef2,64708117,a53f52e6,84bc15e9,d004baa2,fb3a756a,72d35efb,49871759,b678efb3,fa09158f,d1f9c74a,87a56883,b0a8316c,d4848ef5,1f35dfc0,8c4b5bb)
+,S(a79d63c7,b718cd66,b393e70a,f032bc50,a90209b2,5f5b07c0,303eb8d1,1db618ee,ecf7f89d,2f6f9877,9b5e390,ce5837ba,49bc2b3,a7c1047b,7a7c852e,89f1551a)
+,S(c922d543,f192f654,3445d3f9,c36a05b8,2ee043e0,92afcae5,a21b9b17,a06d0257,cf77d5eb,9e555f90,34ce1c14,63f7c4b6,a0202d81,deb02ddf,a26113ba,292554e7)
+,S(dbb8f077,b411a4dd,faf0d89c,3dc20375,1bb20e16,2052ee46,915528e5,1f461387,a6c0d5df,91cc4ba1,cbba0588,774d47e1,7ef97281,63ca8950,7ff6b779,da12b7e6)
+,S(dea21a21,eccb1733,14d76fcf,dc6109c8,88a633d9,645f86e4,e59ee237,cb18110c,a1390d1d,69a304f1,a2792ecc,675f2dae,1ddef908,2f2e3929,6b9a068,3933264b)
+,S(f088ed85,750dd58a,cd03b3a9,93d88760,34f50780,985f7552,114f957a,ce8904a1,b810e652,f596cb80,c369f61,f632bc3c,fcfb1fc2,b906acaf,c1f39d02,5e3ae4dd)
+,S(b85da431,16b898e8,56fe3c18,b60a48b7,c2ba9f65,ad67c31d,f45ac3b6,608b774c,357d324b,474ae7d8,97398506,c550a1fc,5353a00c,7e6f1245,c0f57683,80ac9e1f)
+,S(eaac0d2c,276000ff,899dcb3c,61b41663,70123276,14585bea,7704de95,d164514b,aad696cb,1af2f12,1ba915ec,64afc13d,a689719d,8f188424,25d6068e,9bb06a69)
+,S(7a3cfc7e,51fbf61f,ffed3430,eb9ac40,c84164b0,21220837,29f20ed8,eacac977,9015b896,e034d2b6,684f7352,185e959b,5c45406f,6187930f,82f62269,d3ba70a)
+,S(5a9def12,e06f0ac4,35b9f853,53db864c,77288050,c349ed7d,a8d8b109,b001a856,b63b74ba,868df816,9dfc30a9,1efbae1e,1617a230,3ed20239,9ecf5798,5ec4bf99)
+,S(b937b3d4,287a0f84,5323cc72,95b4a201,ba9d97d3,2d968533,7caccbdc,ce8623ed,6f2ad251,a66e5ff0,77384746,9208db13,2a396dc2,17e781ce,9aa8d556,83fc0adf)
+,S(d44f7fc2,97e079f4,ba0689de,dc743d4,964c6ab,8c34bbff,f95bf22e,b7d3c209,b5afe3b6,f6b02542,e6ce811b,f4bb0fce,79e7916f,fed8845c,dd83de07,9320a2d1)
+,S(5980fbb1,6be7acd7,b090a2b1,c83dbf80,9148cc99,75fd6834,edf564c5,50fdf2f2,72340269,8d22b946,ae51c9c8,33d5b44d,ee884a02,e12a6d4a,23957483,32abac9)
+,S(94733aeb,dce57a89,16961f41,3eb04b5e,71f0a055,29baf93f,c9ff178a,12b70511,e591b62e,5cf92ea4,306e16b5,acc5958d,a5516bf5,7a7dab17,db38cef7,44302c47)
+,S(1172b006,3d5ae491,8699e756,75ddfc59,fb5cc8d4,f332ce72,f99fb99e,c9799d96,2845be1b,b97830d3,f9d04a3b,36ae381c,5654bef3,f3fa8516,3a7b9738,ed867ef4)
+,S(29afd093,5ca567f7,eb4cc1c2,ebbbe8c3,bc405691,b41a2812,b7c71312,81bbe691,77e9a59d,c0aebd28,9cf2960,ebe7fc19,236c1859,7882df0f,a8e6e0c2,6d92b821)
+,S(191c7ed6,72c36def,576f645c,6b475eff,793119e3,ebc3a29b,71eee3c9,cb52a635,642bdce7,90d0f104,54ebe4d6,282be83a,443f8f44,faba4c76,5b1491d8,c7c83210)
+,S(237eff13,89c20d30,9902a738,fa4543d4,c2a4a2b5,6731603,500997bb,40d28eda,973d696c,ba9eb05d,73ce7491,5c1cf3d1,5a998608,7ce85854,f7bdd157,3d5c7394)
+,S(d4985b52,80673074,53ec0edb,f02b9d4c,b1ce9a0c,af7c675,77789b8d,f3b5ab33,ad8fa145,94c510a7,830f3353,4ac94a98,cdf2fa30,b6a1b572,9222969c,e27eb1ea)
+,S(3baed9b6,25f5d0b2,6e0132c6,20a9015,f79bd8d1,8e5ce170,20fed78f,a2238914,6ef88df1,3c7a9023,1180edfd,d041b950,3ad89f22,4ec557b7,2e900bc8,fa820c19)
+,S(6e2298a6,102268b1,af97bf67,c0aba783,5463165b,1df8a824,530ee5d7,86d354f6,c3864e52,3bb5cfe0,a64adc7a,9e8926e9,876516a4,c83767d8,5ebfc39a,e125c19c)
+,S(f9e87f15,2412598d,775131de,abbd0272,4d658849,cb60aac6,92280e63,8e835e9,e843a3dd,a30f9685,70fcf86e,86206c22,af40ce3a,3beb620c,aa167e63,271d95ac)
+,S(f9925b7e,80b8b8b1,b5c56f80,74bd5ee1,9e419678,2c5a33d2,c59f8016,56cfbb0e,3e2fda0b,50aa7671,5810a8d2,2d4778d8,66bd2515,acf87b79,7b2f4875,dee19719)
+,S(6fc34efd,5d11ae35,2cca3254,c5f8a040,52b81357,556d4d67,dd02d22b,91f4e49b,f14c656,ec946492,a6af3f2f,56fd7355,71e41b2c,dfeda7bd,ed567658,202f6e61)
+,S(ab504458,4b38c846,e282038,1f02f55d,fc6a5648,1b1830c1,e4ee94e3,d11af8d9,4ad3821e,3f5219c,aab31787,2a8fbccf,f0f445d7,da30f05,d9523f55,13eee3cc)
+,S(2378d11,716b6d34,85bd5a57,5c5b2c96,1b817abe,e21b7d45,38244933,5ce7e7a5,33682ec0,8c59a158,c4ef12bd,d2a46d31,6abc6dd4,f81a1fef,5be40577,4e03fab)
+,S(cfa95425,8608d9b,9c568a1c,fd4b078a,ff49150f,a4681324,ac56b6e9,df569016,e200a3ae,2d82ddc2,a71767e5,842ef30c,86cd9b17,7c5e52ff,ac316e50,1e7e2)
+,S(585542d9,a3a582a3,bde74fef,112924c4,e00cafcb,61518d87,f524211d,bdb98993,2035bc19,7a0ea2b6,8d1d1333,b5aadc61,c9dff2c1,e4dea034,1539ff15,9a3d18ae)
+,S(fab2433,905e5b46,e47103f2,e353d503,cb141e61,2167cb4d,34946a5c,cd2c06b,7097d735,3f17734f,8eff6993,77916c9,884f67db,42f7a96c,62a3e1d9,9e341547)
+,S(b10db548,be55521c,de5edc26,fa39716,154e365d,a1b8b7fd,2265d78b,7edee8cd,389efe1c,7fd8b4a5,4a42e651,b5c06a2a,7c153664,e52ef30d,90eda2d5,9e9690c8)
+,S(218a8a36,273fce14,85c0c9f7,1910aff8,64910b00,6254af75,e78a6b5b,3d5c7bad,4a1984e8,e90d4695,b8dcf34a,55eaf568,b0fd34cc,528a147c,bebb052a,8e6e8604)
+,S(e120bc22,fe6dc81f,dc3ead1b,a2ca966f,c5702ec,479793b1,5f0ebae3,b6c5ff3,9f92f1d5,e8aa56f6,1ef20685,c8085782,be180658,c7d2b9e1,c020c98e,cd425835)
+,S(e83373fa,f80d4560,5ac4da9a,c9cfa220,b2a2c656,26857035,a228c93b,495be15f,8b915652,3c532657,7945021,d6c1b1a6,3b1fd090,ea93cf01,90fdb791,a2397a91)
+,S(b7d8a393,a10590ea,91d2a495,eec07262,f2f43e29,74f7b2e5,6ba6ee92,17e3e74b,4ad6671f,58b2c7ba,7a940613,5986b3f3,5a6e13ec,8243b0fa,c8bec130,2afbad0f)
+,S(75a5ed46,b2103f5f,ee808803,bf419bbc,232cf5d3,84955e8b,1d4fbaee,5194ca35,51b9670c,4c65e969,a5a56e15,25f33dc9,458c317b,6faf484a,186d52d1,757e4857)
+,S(6d8d67cb,c309ecc6,3c1e04d4,aa42683c,775d5f32,51111500,9166c574,b0dd66e4,e127b8c,f431cf09,5939712e,c96d299e,efbdeeec,eeca3d2a,9f6b3d29,fb8f72fd)
+,S(51a6d684,463065c8,7d3e0fee,ac72e4f3,1e5187a4,dd14d59e,ef71ee93,85fb229,7fe1069c,b384178c,ae2241fa,6886e1fd,286347f0,d2488dbb,f4d6eaf9,e722a90a)
+,S(5140ba9e,81a272eb,30ac5c96,a8b054bf,870b1785,9519cdbe,4f2e6573,2a56e6bc,3b6a2c0e,7421eab3,147b61e6,d8252326,1819bd94,9e3c805f,ca2a12b2,e13599a9)
+,S(b94c7812,6c60a3b0,48b28f47,f9d461e,27ffdf7f,93a3ee70,ae38962c,8060166b,bab7aa94,385d224f,f20e7c60,7f7f11db,4ec3526a,c226cc96,16af6a3e,356208f2)
+,S(45046678,76689fbc,a94ebd79,ddb5d655,3e97b788,c91cee0,b62ee75c,1fd12ff3,635b3d75,a0621530,d7ff26cf,f1878d52,2864a6ea,e82b220f,d35ae5a5,edea1895)
+,S(45f4025d,7b88ddaf,e39566e4,27060b7c,ac59ae7a,526ac3d6,a489424b,d677a54d,d732c322,18307ace,354ade14,21d13438,ac4c7c3,5b5021a6,cea9137f,b47465ac)
+,S(c6e8912e,a197f39b,817b743d,deb3320b,558af332,96e0ebb,58c258c4,f1c0d5cc,6e0c8ecc,fd97ccd,deb08f4a,73ca13cf,b48d3633,afb74139,36550e0a,c23f04ea)
+,S(6fd13fd,c7d3809d,6a3bf6b1,5208d0ab,5f476e99,57a7fc71,29824154,a05a7dd7,95922641,32be31b4,c34ea614,df6b8c1a,c386dbc2,1318868d,b40869a7,17b862e6)
+,S(54fc0732,968b0207,ea2c115f,d11bfb57,b9b28164,4644d82f,45af1100,6b63d0b3,318ef9f3,b2173c45,bba5ffdd,8345a08b,66c8e183,80ef9dbb,b5d80c1f,15f95bfb)
+,S(9e6ac718,6e09f698,1f384cdc,b9c48703,a8ee3726,d6d8ee3,a10499f5,e17731e1,95b4c37f,ec98faca,b41c628e,12f606e,79829b17,96ef3dce,c4aba99e,3882bc0a)
+,S(85732ae2,eb7944a2,6609aea5,607604c4,c30f25ca,c365fb2,e01c7600,40542ce6,928a62fb,b082f38b,52890540,7b20f9ac,1f4841a7,bde217ab,828780ee,94749fcb)
+,S(3ea5ace,80e47aa1,9bf1406d,3559fd50,85d38504,93752563,de66393e,37a652a1,db5fa543,142d36f,fcc1cc8,36b1f4c4,e82d4980,f2b277c7,bec53324,fbdc8e9c)
+,S(7d40f7ae,f1866d87,8e42f9c8,d5afff76,2a427567,f6130f73,439d67fe,d14be54d,5bee61f5,31e4ebb5,679c9645,d565cf,f93b391b,f48c5504,a5054e23,47859d2a)
+,S(3dc80cd7,478ea38e,1d6e1e41,aca892c4,4e4d8339,acd72fb4,c27861ae,3e7d8664,98412c68,68af56ab,19876499,fa30c8b7,8bfa5d19,b4aea0ec,52787690,49b7e3b5)
+,S(2dd92155,81bbbcdb,a1900b90,9018ea30,2e40ec35,cf2b74ca,6065e8d1,f3bcc057,cdb59ee3,b5d42deb,5a4ffe56,46f5dec0,218d0e9d,569cdd3f,b96610ab,2a382fe5)
+,S(a245a185,ed85c547,3b78a561,76a32e45,b35efe75,36a1fef4,569f4f70,ba510ae5,93b66fc4,6fde9554,1363bdbd,117073cd,f3f5e406,75fc5710,34bef6bc,47a2519c)
+,S(5136c2e4,5004c1fd,615fe81a,e4463153,2753c670,86d1bba0,b3a35bdc,47bbec08,1743f5c5,d0a58608,a66fab55,69f7134d,7fe49fad,2dbee1a6,d01c581d,18f97d85)
+,S(b65423af,618b242b,71e258e8,c22f975b,621a8900,9e0a3f12,f9f8314d,7fc6ca54,e3c39b1c,e4159306,e730c2ad,4ecec430,720355a2,815b63a9,720ef623,b91e4230)
+,S(d6db49c6,4e68f6b0,59cb5a00,3c826a59,bea1e9fe,7622a2e,6eca605e,fe9a7858,cff0a39d,83e246f1,efad5dad,72c5df0d,62e9cf8f,4da81a5a,68586187,3dfd758f)
+,S(ff2f739,8e5aaae1,a589a82f,e8e36315,34ff1081,cb083933,d08473b4,bd16f03,1559e2e8,49dc5aeb,50f3de13,1478fa99,e110627,aa0c4c5d,43ab03ca,dde04cdf)
+,S(a7c9398c,5938a3ca,e32d2947,d8e3a58,e42a669f,5cd9b219,d8acf6f5,2cef9bf5,43e2a5a3,dae4bd5e,64a30861,7056fce6,cf86d0b7,41c3b46e,3a3ed90e,98d2d51c)
+,S(faa9724a,357b6806,7be30aa6,4fb85879,1969191e,346d5d73,8a85b27c,c6608d72,ea1f8a66,8f4881fc,4ecfc556,f0ca4e12,b93ee6ca,54a0fce,b2fe51ca,174d9713)
+,S(28301cf8,328171c0,74cd585f,6e5870ac,815de8d0,9c9f15c5,5540de9a,b29a86df,31910e6f,15585710,74e87f41,e5cc9c73,4ddd15bd,4436ec8f,59806afe,7901c2e4)
+,S(fbde2380,ae0cccc4,e044ca59,92be8e11,5fc782eb,c1d49bc2,cbdfd1f5,d7908a09,c1a1d67c,74777fbb,68919bf4,11de555a,6485436f,7e34062b,480b7516,8a03dba3)
+,S(59d8ba7b,6c71ba1d,191d4cce,662483cb,9784ede7,d1908e81,815d0a48,4b84bf7d,8a32e968,1ecf963b,3c23a9d2,f382490b,1f229b27,a663f4a6,9819c33b,f9f6149f)
+,S(6c3a61d7,1c999ae0,604511ad,23f620ad,dfc7891b,925eeed1,6a5ca37f,b41b47e4,f7115905,c696c2b3,e2b82a30,9728923e,b8eba53c,363f1456,73676b59,9b50b9c0)
+,S(8e53027f,8e137bfa,73eb5167,35382ba,ab3468f4,d4227b19,a45c51c2,ef3d8339,2b5ea7b9,542a83ab,a1c402ba,be13437b,c621067,96e83b7a,2cdedc52,2bcff513)
+,S(113aa35e,6a5f794b,a56b04a3,d639b1e1,64a790b5,8ff310c,fbeab588,f93be16a,227c17e7,d95583e7,fdcc3ab7,b24182b5,1bb11e91,9f28fd7b,3a2e4a40,4f333962)
+,S(16c4c83f,5a06b2de,9d3f39e7,1f0a9de7,af6e8fc7,b0fecaf3,2c82f1aa,fe9a5343,b4cbf71e,c3ad4635,87f8e355,cffe1ea,a19f1dc6,d233d617,776a69a9,ab8dec03)
+,S(4d97594c,613de84a,e685199a,ac639a56,e5c15a0e,c00282bd,197cc2ea,90f8fbb0,b9f39a44,24cbb1e2,f77afa90,ec7266ee,64ea987e,80a32b34,483c1f2e,b0c5844a)
+,S(b679693a,b3fecff0,819e0598,65406521,1f9aee9c,1ea44417,eba86ebe,32414ac3,7bfe1ba0,ae17291d,71aac3f3,66e5a927,56b53312,a6818d1a,78b7d9ef,a5d01b2f)
+,S(a97c2730,a78cf5b7,538b518a,87d8fc55,f95a367d,4e021d23,79f163eb,98b6eb9a,aed1e51c,3ce7e35e,ff69e7d9,3fd3a968,59f0f23a,7bbab9d8,3b60cabd,cebd34f)
+,S(7dd4e84f,6547d66b,5e0b204c,ed1d0258,4fe92ed8,6b504ae4,eb1b3d66,d43b8ca4,7956148f,de975510,5e3b5126,f82e77b,89a77b68,ffc9364c,bfb596e8,187ea99b)
+,S(5e856d1d,25acc306,e8c1a2b7,a9ccea1,beb3008d,c224b38f,e2f31376,65d07c3f,7dccf6b1,55c12be2,f3da02c9,12fdb666,816558b1,11a2a545,9d88aa28,9d855e6c)
+,S(c85ee868,7f507429,e5c26af6,7ef1fe45,e782661c,1fa03aa3,ee9dd9c9,302e5dd6,732de6ad,d071a0b0,b77e47bc,14e176d4,c85b39d0,ac5b4ea,55f0d367,dba5ab5d)
+,S(a97ba3a5,cc2d5148,3f65c65b,483b3e4f,3c68e46b,87bcfea1,42aeed8,4c42e42b,f4eb1271,3024d1,b7612c3b,7dc3dff8,ca336f23,5db7daf9,3ca6f7d8,1bdb4a21)
+,S(3c0396cf,6ff0150c,5b6bd528,4a05d0a5,3b735c85,125bd49c,f62db5b6,4eaf54a7,6ec02c02,f8d9a61e,6bb38d64,daaf3c7d,5324462e,37e2df8d,4ad12bfa,37fd2cb2)
+,S(e36fcebc,e406d2a4,ad42f7dd,cc00e9f3,cf385eeb,58cee004,5aab8174,82d84f94,7c98182f,6edd358e,76d66de0,b45ae9f6,5eb75092,1a25194c,1911bd9f,7e6a1a6b)
+,S(171ea2ec,b9641746,7d7edcf,ecd6d85,8577322e,6ebac130,5ab57f33,62eb4e37,9f219970,753a7b9c,e4f0c6ce,5745596a,aca8df7b,a73660c9,10add5a9,d4c533d6)
+,S(a81d720a,bf8047e8,ef67bf2,71a13f47,636a5f9e,ec425649,1cbdad65,39652f9e,92b37c88,275c022b,635df6b,9246edf5,5dbd8284,eaa4cd7e,3d3ce6d1,c0ca3794)
+,S(fa3b6973,4bd9939c,4b6ecd3b,f0a06327,2dc11345,1bddd717,f17b745f,bc3f99b3,f38a4e1a,bcb35097,7acc8f2e,d7f73f75,d406e7f2,22fdeea,2c12d8b9,e5d2dfa3)
+,S(c117681e,b55bff67,feda80a1,ae88b4be,c806860d,91916619,288a7ce0,b31aef86,d94ae124,dca678bc,b69c9421,f295405f,d6dc1fac,de96a2b4,58ba5fd2,72faa032)
+,S(5ccc0619,92744a57,683de5e3,7b956fa1,fd7287d,b4516fc9,f8635be3,a0db42a9,af1f73ea,4d2168e1,7550ffc,dcbba288,8397931b,e457ce6f,3f8082f8,cfc5f03)
+,S(858b019c,8a93524f,6c86738d,cb10b534,d8caaf86,5c0ce75c,fc9b83b0,7c661a0a,7c59d30,1ffc8ce1,b0767ed7,91f84bc5,60bb8ca,ed3464ba,698a53c,160ec570)
+,S(e1e217b8,69da0c77,599dcc38,40fa1d8c,a8d08b1a,4ac9a882,da1476cc,cc76fa56,83f0ef77,905f0801,4bd86e17,63b8c2cf,ab2018a8,9586620a,b49a15,9fc314ca)
+,S(15a1ae40,b4fc51dc,554b75d4,db0c2bfd,62dfbbfc,dede18e1,4edbb689,91525cff,4f0453b7,e4e0e99d,9663e5c6,bb018007,b52c8e14,d78a28d,c4a888e4,8c4326c2)
+,S(1b9a142f,fc4d03ea,4b079f2d,b05fad98,8ddb2d32,b359967f,c173801f,63320825,59bda7ed,5b691c20,4fc8f8ac,f53be298,ae628954,a8134d0f,dd097e67,be9ff9b6)
+#endif
+};
+#endif
+#undef S
+#endif
diff --git a/src/secp256k1/src/field.h b/src/secp256k1/src/field.h
index aca1fb72c5..55679a2fc1 100644
--- a/src/secp256k1/src/field.h
+++ b/src/secp256k1/src/field.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_FIELD_H
#define SECP256K1_FIELD_H
@@ -14,8 +14,8 @@
* - Each field element can be normalized or not.
* - Each field element has a magnitude, which represents how far away
* its representation is away from normalization. Normalized elements
- * always have a magnitude of 1, but a magnitude of 1 doesn't imply
- * normality.
+ * always have a magnitude of 0 or 1, but a magnitude of 1 doesn't
+ * imply normality.
*/
#if defined HAVE_CONFIG_H
@@ -43,15 +43,16 @@ static void secp256k1_fe_normalize_weak(secp256k1_fe *r);
/** Normalize a field element, without constant-time guarantee. */
static void secp256k1_fe_normalize_var(secp256k1_fe *r);
-/** Verify whether a field element represents zero i.e. would normalize to a zero value. The field
- * implementation may optionally normalize the input, but this should not be relied upon. */
-static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r);
+/** Verify whether a field element represents zero i.e. would normalize to a zero value. */
+static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r);
-/** Verify whether a field element represents zero i.e. would normalize to a zero value. The field
- * implementation may optionally normalize the input, but this should not be relied upon. */
-static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r);
+/** Verify whether a field element represents zero i.e. would normalize to a zero value,
+ * without constant-time guarantee. */
+static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r);
-/** Set a field element equal to a small integer. Resulting field element is normalized. */
+/** Set a field element equal to a small (not greater than 0x7FFF), non-negative integer.
+ * Resulting field element is normalized; it has magnitude 0 if a == 0, and magnitude 1 otherwise.
+ */
static void secp256k1_fe_set_int(secp256k1_fe *r, int a);
/** Sets a field element equal to zero, initializing all fields. */
@@ -104,9 +105,6 @@ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a);
* itself. */
static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a);
-/** Checks whether a field element is a quadratic residue. */
-static int secp256k1_fe_is_quad_var(const secp256k1_fe *a);
-
/** Sets a field element to be the (modular) inverse of another. Requires the input's magnitude to be
* at most 8. The output magnitude is 1 (but not guaranteed to be normalized). */
static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a);
@@ -114,11 +112,6 @@ static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a);
/** Potentially faster version of secp256k1_fe_inv, without constant-time guarantee. */
static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a);
-/** Calculate the (modular) inverses of a batch of field elements. Requires the inputs' magnitudes to be
- * at most 8. The output magnitudes are 1 (but not guaranteed to be normalized). The inputs and
- * outputs must not overlap in memory. */
-static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len);
-
/** Convert a field element to the storage type. */
static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a);
diff --git a/src/secp256k1/src/field_10x26.h b/src/secp256k1/src/field_10x26.h
index 5ff03c8abc..9eb65607f1 100644
--- a/src/secp256k1/src/field_10x26.h
+++ b/src/secp256k1/src/field_10x26.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_FIELD_REPR_H
#define SECP256K1_FIELD_REPR_H
diff --git a/src/secp256k1/src/field_10x26_impl.h b/src/secp256k1/src/field_10x26_impl.h
index 651500ee8e..4363e727e7 100644
--- a/src/secp256k1/src/field_10x26_impl.h
+++ b/src/secp256k1/src/field_10x26_impl.h
@@ -1,14 +1,15 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_FIELD_REPR_IMPL_H
#define SECP256K1_FIELD_REPR_IMPL_H
#include "util.h"
#include "field.h"
+#include "modinv32_impl.h"
#ifdef VERIFY
static void secp256k1_fe_verify(const secp256k1_fe *a) {
@@ -181,7 +182,7 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) {
#endif
}
-static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) {
uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4],
t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9];
@@ -210,7 +211,7 @@ static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) {
return (z0 == 0) | (z1 == 0x3FFFFFFUL);
}
-static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) {
uint32_t t0, t1, t2, t3, t4, t5, t6, t7, t8, t9;
uint32_t z0, z1;
uint32_t x;
@@ -263,10 +264,11 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) {
}
SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) {
+ VERIFY_CHECK(0 <= a && a <= 0x7FFF);
r->n[0] = a;
r->n[1] = r->n[2] = r->n[3] = r->n[4] = r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0;
#ifdef VERIFY
- r->magnitude = 1;
+ r->magnitude = (a != 0);
r->normalized = 1;
secp256k1_fe_verify(r);
#endif
@@ -1161,7 +1163,96 @@ static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const se
#ifdef VERIFY
r->magnitude = 1;
r->normalized = 1;
+ secp256k1_fe_verify(r);
+#endif
+}
+
+static void secp256k1_fe_from_signed30(secp256k1_fe *r, const secp256k1_modinv32_signed30 *a) {
+ const uint32_t M26 = UINT32_MAX >> 6;
+ const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4],
+ a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8];
+
+ /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and
+ * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8).
+ */
+ VERIFY_CHECK(a0 >> 30 == 0);
+ VERIFY_CHECK(a1 >> 30 == 0);
+ VERIFY_CHECK(a2 >> 30 == 0);
+ VERIFY_CHECK(a3 >> 30 == 0);
+ VERIFY_CHECK(a4 >> 30 == 0);
+ VERIFY_CHECK(a5 >> 30 == 0);
+ VERIFY_CHECK(a6 >> 30 == 0);
+ VERIFY_CHECK(a7 >> 30 == 0);
+ VERIFY_CHECK(a8 >> 16 == 0);
+
+ r->n[0] = a0 & M26;
+ r->n[1] = (a0 >> 26 | a1 << 4) & M26;
+ r->n[2] = (a1 >> 22 | a2 << 8) & M26;
+ r->n[3] = (a2 >> 18 | a3 << 12) & M26;
+ r->n[4] = (a3 >> 14 | a4 << 16) & M26;
+ r->n[5] = (a4 >> 10 | a5 << 20) & M26;
+ r->n[6] = (a5 >> 6 | a6 << 24) & M26;
+ r->n[7] = (a6 >> 2 ) & M26;
+ r->n[8] = (a6 >> 28 | a7 << 2) & M26;
+ r->n[9] = (a7 >> 24 | a8 << 6);
+
+#ifdef VERIFY
+ r->magnitude = 1;
+ r->normalized = 1;
+ secp256k1_fe_verify(r);
+#endif
+}
+
+static void secp256k1_fe_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_fe *a) {
+ const uint32_t M30 = UINT32_MAX >> 2;
+ const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4],
+ a5 = a->n[5], a6 = a->n[6], a7 = a->n[7], a8 = a->n[8], a9 = a->n[9];
+
+#ifdef VERIFY
+ VERIFY_CHECK(a->normalized);
#endif
+
+ r->v[0] = (a0 | a1 << 26) & M30;
+ r->v[1] = (a1 >> 4 | a2 << 22) & M30;
+ r->v[2] = (a2 >> 8 | a3 << 18) & M30;
+ r->v[3] = (a3 >> 12 | a4 << 14) & M30;
+ r->v[4] = (a4 >> 16 | a5 << 10) & M30;
+ r->v[5] = (a5 >> 20 | a6 << 6) & M30;
+ r->v[6] = (a6 >> 24 | a7 << 2
+ | a8 << 28) & M30;
+ r->v[7] = (a8 >> 2 | a9 << 24) & M30;
+ r->v[8] = a9 >> 6;
+}
+
+static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_fe = {
+ {{-0x3D1, -4, 0, 0, 0, 0, 0, 0, 65536}},
+ 0x2DDACACFL
+};
+
+static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) {
+ secp256k1_fe tmp;
+ secp256k1_modinv32_signed30 s;
+
+ tmp = *x;
+ secp256k1_fe_normalize(&tmp);
+ secp256k1_fe_to_signed30(&s, &tmp);
+ secp256k1_modinv32(&s, &secp256k1_const_modinfo_fe);
+ secp256k1_fe_from_signed30(r, &s);
+
+ VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
+}
+
+static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) {
+ secp256k1_fe tmp;
+ secp256k1_modinv32_signed30 s;
+
+ tmp = *x;
+ secp256k1_fe_normalize_var(&tmp);
+ secp256k1_fe_to_signed30(&s, &tmp);
+ secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_fe);
+ secp256k1_fe_from_signed30(r, &s);
+
+ VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
}
#endif /* SECP256K1_FIELD_REPR_IMPL_H */
diff --git a/src/secp256k1/src/field_5x52.h b/src/secp256k1/src/field_5x52.h
index 6a068484c2..50ee3f9ec9 100644
--- a/src/secp256k1/src/field_5x52.h
+++ b/src/secp256k1/src/field_5x52.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_FIELD_REPR_H
#define SECP256K1_FIELD_REPR_H
diff --git a/src/secp256k1/src/field_5x52_asm_impl.h b/src/secp256k1/src/field_5x52_asm_impl.h
index 1fc3171f6b..a2118044ab 100644
--- a/src/secp256k1/src/field_5x52_asm_impl.h
+++ b/src/secp256k1/src/field_5x52_asm_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
/**
* Changelog:
diff --git a/src/secp256k1/src/field_5x52_impl.h b/src/secp256k1/src/field_5x52_impl.h
index 71a38f915b..b56bdd1353 100644
--- a/src/secp256k1/src/field_5x52_impl.h
+++ b/src/secp256k1/src/field_5x52_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_FIELD_REPR_IMPL_H
#define SECP256K1_FIELD_REPR_IMPL_H
@@ -13,6 +13,7 @@
#include "util.h"
#include "field.h"
+#include "modinv64_impl.h"
#if defined(USE_ASM_X86_64)
#include "field_5x52_asm_impl.h"
@@ -161,7 +162,7 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) {
#endif
}
-static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) {
uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4];
/* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */
@@ -184,7 +185,7 @@ static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) {
return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL);
}
-static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) {
uint64_t t0, t1, t2, t3, t4;
uint64_t z0, z1;
uint64_t x;
@@ -226,10 +227,11 @@ static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) {
}
SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) {
+ VERIFY_CHECK(0 <= a && a <= 0x7FFF);
r->n[0] = a;
r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0;
#ifdef VERIFY
- r->magnitude = 1;
+ r->magnitude = (a != 0);
r->normalized = 1;
secp256k1_fe_verify(r);
#endif
@@ -495,6 +497,83 @@ static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const se
#ifdef VERIFY
r->magnitude = 1;
r->normalized = 1;
+ secp256k1_fe_verify(r);
+#endif
+}
+
+static void secp256k1_fe_from_signed62(secp256k1_fe *r, const secp256k1_modinv64_signed62 *a) {
+ const uint64_t M52 = UINT64_MAX >> 12;
+ const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4];
+
+ /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and
+ * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4).
+ */
+ VERIFY_CHECK(a0 >> 62 == 0);
+ VERIFY_CHECK(a1 >> 62 == 0);
+ VERIFY_CHECK(a2 >> 62 == 0);
+ VERIFY_CHECK(a3 >> 62 == 0);
+ VERIFY_CHECK(a4 >> 8 == 0);
+
+ r->n[0] = a0 & M52;
+ r->n[1] = (a0 >> 52 | a1 << 10) & M52;
+ r->n[2] = (a1 >> 42 | a2 << 20) & M52;
+ r->n[3] = (a2 >> 32 | a3 << 30) & M52;
+ r->n[4] = (a3 >> 22 | a4 << 40);
+
+#ifdef VERIFY
+ r->magnitude = 1;
+ r->normalized = 1;
+ secp256k1_fe_verify(r);
+#endif
+}
+
+static void secp256k1_fe_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_fe *a) {
+ const uint64_t M62 = UINT64_MAX >> 2;
+ const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4];
+
+#ifdef VERIFY
+ VERIFY_CHECK(a->normalized);
+#endif
+
+ r->v[0] = (a0 | a1 << 52) & M62;
+ r->v[1] = (a1 >> 10 | a2 << 42) & M62;
+ r->v[2] = (a2 >> 20 | a3 << 32) & M62;
+ r->v[3] = (a3 >> 30 | a4 << 22) & M62;
+ r->v[4] = a4 >> 40;
+}
+
+static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_fe = {
+ {{-0x1000003D1LL, 0, 0, 0, 256}},
+ 0x27C7F6E22DDACACFLL
+};
+
+static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) {
+ secp256k1_fe tmp;
+ secp256k1_modinv64_signed62 s;
+
+ tmp = *x;
+ secp256k1_fe_normalize(&tmp);
+ secp256k1_fe_to_signed62(&s, &tmp);
+ secp256k1_modinv64(&s, &secp256k1_const_modinfo_fe);
+ secp256k1_fe_from_signed62(r, &s);
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
+#endif
+}
+
+static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) {
+ secp256k1_fe tmp;
+ secp256k1_modinv64_signed62 s;
+
+ tmp = *x;
+ secp256k1_fe_normalize_var(&tmp);
+ secp256k1_fe_to_signed62(&s, &tmp);
+ secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_fe);
+ secp256k1_fe_from_signed62(r, &s);
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
#endif
}
diff --git a/src/secp256k1/src/field_5x52_int128_impl.h b/src/secp256k1/src/field_5x52_int128_impl.h
index bcbfb92ac2..0ed6118cc9 100644
--- a/src/secp256k1/src/field_5x52_int128_impl.h
+++ b/src/secp256k1/src/field_5x52_int128_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_FIELD_INNER5X52_IMPL_H
#define SECP256K1_FIELD_INNER5X52_IMPL_H
@@ -49,14 +49,14 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t
c = (uint128_t)a4 * b[4];
VERIFY_BITS(c, 112);
/* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
- d += (c & M) * R; c >>= 52;
+ d += (uint128_t)R * (uint64_t)c; c >>= 64;
VERIFY_BITS(d, 115);
- VERIFY_BITS(c, 60);
- /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+ VERIFY_BITS(c, 48);
+ /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
t3 = d & M; d >>= 52;
VERIFY_BITS(t3, 52);
VERIFY_BITS(d, 63);
- /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+ /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
d += (uint128_t)a0 * b[4]
+ (uint128_t)a1 * b[3]
@@ -64,8 +64,8 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t
+ (uint128_t)a3 * b[1]
+ (uint128_t)a4 * b[0];
VERIFY_BITS(d, 115);
- /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
- d += c * R;
+ /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
+ d += (uint128_t)(R << 12) * (uint64_t)c;
VERIFY_BITS(d, 116);
/* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
t4 = d & M; d >>= 52;
@@ -129,17 +129,16 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t
+ (uint128_t)a4 * b[3];
VERIFY_BITS(d, 114);
/* [d 0 0 t4 t3 c t1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
- c += (d & M) * R; d >>= 52;
+ c += (uint128_t)R * (uint64_t)d; d >>= 64;
VERIFY_BITS(c, 115);
- VERIFY_BITS(d, 62);
- /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+ VERIFY_BITS(d, 50);
+ /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
- /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
r[2] = c & M; c >>= 52;
VERIFY_BITS(r[2], 52);
VERIFY_BITS(c, 63);
- /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
- c += d * R + t3;
+ /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+ c += (uint128_t)(R << 12) * (uint64_t)d + t3;
VERIFY_BITS(c, 100);
/* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
r[3] = c & M; c >>= 52;
@@ -178,22 +177,22 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t
c = (uint128_t)a4 * a4;
VERIFY_BITS(c, 112);
/* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
- d += (c & M) * R; c >>= 52;
+ d += (uint128_t)R * (uint64_t)c; c >>= 64;
VERIFY_BITS(d, 115);
- VERIFY_BITS(c, 60);
- /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+ VERIFY_BITS(c, 48);
+ /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
t3 = d & M; d >>= 52;
VERIFY_BITS(t3, 52);
VERIFY_BITS(d, 63);
- /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+ /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
a4 *= 2;
d += (uint128_t)a0 * a4
+ (uint128_t)(a1*2) * a3
+ (uint128_t)a2 * a2;
VERIFY_BITS(d, 115);
- /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
- d += c * R;
+ /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
+ d += (uint128_t)(R << 12) * (uint64_t)c;
VERIFY_BITS(d, 116);
/* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
t4 = d & M; d >>= 52;
@@ -252,16 +251,16 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t
d += (uint128_t)a3 * a4;
VERIFY_BITS(d, 114);
/* [d 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
- c += (d & M) * R; d >>= 52;
+ c += (uint128_t)R * (uint64_t)d; d >>= 64;
VERIFY_BITS(c, 115);
- VERIFY_BITS(d, 62);
- /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+ VERIFY_BITS(d, 50);
+ /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
r[2] = c & M; c >>= 52;
VERIFY_BITS(r[2], 52);
VERIFY_BITS(c, 63);
- /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+ /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
- c += d * R + t3;
+ c += (uint128_t)(R << 12) * (uint64_t)d + t3;
VERIFY_BITS(c, 100);
/* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
r[3] = c & M; c >>= 52;
diff --git a/src/secp256k1/src/field_impl.h b/src/secp256k1/src/field_impl.h
index 18e4d2f30e..374284a1f4 100644
--- a/src/secp256k1/src/field_impl.h
+++ b/src/secp256k1/src/field_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_FIELD_IMPL_H
#define SECP256K1_FIELD_IMPL_H
@@ -12,7 +12,6 @@
#endif
#include "util.h"
-#include "num.h"
#if defined(SECP256K1_WIDEMUL_INT128)
#include "field_5x52_impl.h"
@@ -136,185 +135,6 @@ static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) {
return secp256k1_fe_equal(&t1, a);
}
-static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a) {
- secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1;
- int j;
-
- /** The binary representation of (p - 2) has 5 blocks of 1s, with lengths in
- * { 1, 2, 22, 223 }. Use an addition chain to calculate 2^n - 1 for each block:
- * [1], [2], 3, 6, 9, 11, [22], 44, 88, 176, 220, [223]
- */
-
- secp256k1_fe_sqr(&x2, a);
- secp256k1_fe_mul(&x2, &x2, a);
-
- secp256k1_fe_sqr(&x3, &x2);
- secp256k1_fe_mul(&x3, &x3, a);
-
- x6 = x3;
- for (j=0; j<3; j++) {
- secp256k1_fe_sqr(&x6, &x6);
- }
- secp256k1_fe_mul(&x6, &x6, &x3);
-
- x9 = x6;
- for (j=0; j<3; j++) {
- secp256k1_fe_sqr(&x9, &x9);
- }
- secp256k1_fe_mul(&x9, &x9, &x3);
-
- x11 = x9;
- for (j=0; j<2; j++) {
- secp256k1_fe_sqr(&x11, &x11);
- }
- secp256k1_fe_mul(&x11, &x11, &x2);
-
- x22 = x11;
- for (j=0; j<11; j++) {
- secp256k1_fe_sqr(&x22, &x22);
- }
- secp256k1_fe_mul(&x22, &x22, &x11);
-
- x44 = x22;
- for (j=0; j<22; j++) {
- secp256k1_fe_sqr(&x44, &x44);
- }
- secp256k1_fe_mul(&x44, &x44, &x22);
-
- x88 = x44;
- for (j=0; j<44; j++) {
- secp256k1_fe_sqr(&x88, &x88);
- }
- secp256k1_fe_mul(&x88, &x88, &x44);
-
- x176 = x88;
- for (j=0; j<88; j++) {
- secp256k1_fe_sqr(&x176, &x176);
- }
- secp256k1_fe_mul(&x176, &x176, &x88);
-
- x220 = x176;
- for (j=0; j<44; j++) {
- secp256k1_fe_sqr(&x220, &x220);
- }
- secp256k1_fe_mul(&x220, &x220, &x44);
-
- x223 = x220;
- for (j=0; j<3; j++) {
- secp256k1_fe_sqr(&x223, &x223);
- }
- secp256k1_fe_mul(&x223, &x223, &x3);
-
- /* The final result is then assembled using a sliding window over the blocks. */
-
- t1 = x223;
- for (j=0; j<23; j++) {
- secp256k1_fe_sqr(&t1, &t1);
- }
- secp256k1_fe_mul(&t1, &t1, &x22);
- for (j=0; j<5; j++) {
- secp256k1_fe_sqr(&t1, &t1);
- }
- secp256k1_fe_mul(&t1, &t1, a);
- for (j=0; j<3; j++) {
- secp256k1_fe_sqr(&t1, &t1);
- }
- secp256k1_fe_mul(&t1, &t1, &x2);
- for (j=0; j<2; j++) {
- secp256k1_fe_sqr(&t1, &t1);
- }
- secp256k1_fe_mul(r, a, &t1);
-}
-
-static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a) {
-#if defined(USE_FIELD_INV_BUILTIN)
- secp256k1_fe_inv(r, a);
-#elif defined(USE_FIELD_INV_NUM)
- secp256k1_num n, m;
- static const secp256k1_fe negone = SECP256K1_FE_CONST(
- 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
- 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, 0xFFFFFC2EUL
- );
- /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */
- static const unsigned char prime[32] = {
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F
- };
- unsigned char b[32];
- int res;
- secp256k1_fe c = *a;
- secp256k1_fe_normalize_var(&c);
- secp256k1_fe_get_b32(b, &c);
- secp256k1_num_set_bin(&n, b, 32);
- secp256k1_num_set_bin(&m, prime, 32);
- secp256k1_num_mod_inverse(&n, &n, &m);
- secp256k1_num_get_bin(b, 32, &n);
- res = secp256k1_fe_set_b32(r, b);
- (void)res;
- VERIFY_CHECK(res);
- /* Verify the result is the (unique) valid inverse using non-GMP code. */
- secp256k1_fe_mul(&c, &c, r);
- secp256k1_fe_add(&c, &negone);
- CHECK(secp256k1_fe_normalizes_to_zero_var(&c));
-#else
-#error "Please select field inverse implementation"
-#endif
-}
-
-static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len) {
- secp256k1_fe u;
- size_t i;
- if (len < 1) {
- return;
- }
-
- VERIFY_CHECK((r + len <= a) || (a + len <= r));
-
- r[0] = a[0];
-
- i = 0;
- while (++i < len) {
- secp256k1_fe_mul(&r[i], &r[i - 1], &a[i]);
- }
-
- secp256k1_fe_inv_var(&u, &r[--i]);
-
- while (i > 0) {
- size_t j = i--;
- secp256k1_fe_mul(&r[j], &r[i], &u);
- secp256k1_fe_mul(&u, &u, &a[j]);
- }
-
- r[0] = u;
-}
-
-static int secp256k1_fe_is_quad_var(const secp256k1_fe *a) {
-#ifndef USE_NUM_NONE
- unsigned char b[32];
- secp256k1_num n;
- secp256k1_num m;
- /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */
- static const unsigned char prime[32] = {
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F
- };
-
- secp256k1_fe c = *a;
- secp256k1_fe_normalize_var(&c);
- secp256k1_fe_get_b32(b, &c);
- secp256k1_num_set_bin(&n, b, 32);
- secp256k1_num_set_bin(&m, prime, 32);
- return secp256k1_num_jacobi(&n, &m) >= 0;
-#else
- secp256k1_fe r;
- return secp256k1_fe_sqrt(&r, a);
-#endif
-}
-
static const secp256k1_fe secp256k1_fe_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
#endif /* SECP256K1_FIELD_IMPL_H */
diff --git a/src/secp256k1/src/gen_context.c b/src/secp256k1/src/gen_context.c
deleted file mode 100644
index 8b7729aee4..0000000000
--- a/src/secp256k1/src/gen_context.c
+++ /dev/null
@@ -1,88 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014, 2015 Thomas Daede, Cory Fields *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-// Autotools creates libsecp256k1-config.h, of which ECMULT_GEN_PREC_BITS is needed.
-// ifndef guard so downstream users can define their own if they do not use autotools.
-#if !defined(ECMULT_GEN_PREC_BITS)
-#include "libsecp256k1-config.h"
-#endif
-#define USE_BASIC_CONFIG 1
-#include "basic-config.h"
-
-#include "include/secp256k1.h"
-#include "assumptions.h"
-#include "util.h"
-#include "field_impl.h"
-#include "scalar_impl.h"
-#include "group_impl.h"
-#include "ecmult_gen_impl.h"
-
-static void default_error_callback_fn(const char* str, void* data) {
- (void)data;
- fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str);
- abort();
-}
-
-static const secp256k1_callback default_error_callback = {
- default_error_callback_fn,
- NULL
-};
-
-int main(int argc, char **argv) {
- secp256k1_ecmult_gen_context ctx;
- void *prealloc, *base;
- int inner;
- int outer;
- FILE* fp;
-
- (void)argc;
- (void)argv;
-
- fp = fopen("src/ecmult_static_context.h","w");
- if (fp == NULL) {
- fprintf(stderr, "Could not open src/ecmult_static_context.h for writing!\n");
- return -1;
- }
-
- fprintf(fp, "#ifndef _SECP256K1_ECMULT_STATIC_CONTEXT_\n");
- fprintf(fp, "#define _SECP256K1_ECMULT_STATIC_CONTEXT_\n");
- fprintf(fp, "#include \"src/group.h\"\n");
- fprintf(fp, "#define SC SECP256K1_GE_STORAGE_CONST\n");
- fprintf(fp, "#if ECMULT_GEN_PREC_N != %d || ECMULT_GEN_PREC_G != %d\n", ECMULT_GEN_PREC_N, ECMULT_GEN_PREC_G);
- fprintf(fp, " #error configuration mismatch, invalid ECMULT_GEN_PREC_N, ECMULT_GEN_PREC_G. Try deleting ecmult_static_context.h before the build.\n");
- fprintf(fp, "#endif\n");
- fprintf(fp, "static const secp256k1_ge_storage secp256k1_ecmult_static_context[ECMULT_GEN_PREC_N][ECMULT_GEN_PREC_G] = {\n");
-
- base = checked_malloc(&default_error_callback, SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE);
- prealloc = base;
- secp256k1_ecmult_gen_context_init(&ctx);
- secp256k1_ecmult_gen_context_build(&ctx, &prealloc);
- for(outer = 0; outer != ECMULT_GEN_PREC_N; outer++) {
- fprintf(fp,"{\n");
- for(inner = 0; inner != ECMULT_GEN_PREC_G; inner++) {
- fprintf(fp," SC(%uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu)", SECP256K1_GE_STORAGE_CONST_GET((*ctx.prec)[outer][inner]));
- if (inner != ECMULT_GEN_PREC_G - 1) {
- fprintf(fp,",\n");
- } else {
- fprintf(fp,"\n");
- }
- }
- if (outer != ECMULT_GEN_PREC_N - 1) {
- fprintf(fp,"},\n");
- } else {
- fprintf(fp,"}\n");
- }
- }
- fprintf(fp,"};\n");
- secp256k1_ecmult_gen_context_clear(&ctx);
- free(base);
-
- fprintf(fp, "#undef SC\n");
- fprintf(fp, "#endif\n");
- fclose(fp);
-
- return 0;
-}
diff --git a/src/secp256k1/src/gen_ecmult_gen_static_prec_table.c b/src/secp256k1/src/gen_ecmult_gen_static_prec_table.c
new file mode 100644
index 0000000000..22923df313
--- /dev/null
+++ b/src/secp256k1/src/gen_ecmult_gen_static_prec_table.c
@@ -0,0 +1,83 @@
+/***********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Thomas Daede, Cory Fields *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#include <inttypes.h>
+#include <stdio.h>
+
+#include "../include/secp256k1.h"
+#include "assumptions.h"
+#include "util.h"
+#include "group.h"
+#include "ecmult_gen.h"
+#include "ecmult_gen_prec_impl.h"
+
+int main(int argc, char **argv) {
+ const char outfile[] = "src/ecmult_gen_static_prec_table.h";
+ FILE* fp;
+ int bits;
+
+ (void)argc;
+ (void)argv;
+
+ fp = fopen(outfile, "w");
+ if (fp == NULL) {
+ fprintf(stderr, "Could not open %s for writing!\n", outfile);
+ return -1;
+ }
+
+ fprintf(fp, "/* This file was automatically generated by gen_ecmult_gen_static_prec_table. */\n");
+ fprintf(fp, "/* See ecmult_gen_impl.h for details about the contents of this file. */\n");
+ fprintf(fp, "#ifndef SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H\n");
+ fprintf(fp, "#define SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H\n");
+
+ fprintf(fp, "#include \"group.h\"\n");
+
+ fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) "
+ "SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,"
+ "0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n");
+
+ fprintf(fp, "#ifdef EXHAUSTIVE_TEST_ORDER\n");
+ fprintf(fp, "static secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)];\n");
+ fprintf(fp, "#else\n");
+ fprintf(fp, "static const secp256k1_ge_storage secp256k1_ecmult_gen_prec_table[ECMULT_GEN_PREC_N(ECMULT_GEN_PREC_BITS)][ECMULT_GEN_PREC_G(ECMULT_GEN_PREC_BITS)] = {\n");
+
+ for (bits = 2; bits <= 8; bits *= 2) {
+ int g = ECMULT_GEN_PREC_G(bits);
+ int n = ECMULT_GEN_PREC_N(bits);
+ int inner, outer;
+
+ secp256k1_ge_storage* table = checked_malloc(&default_error_callback, n * g * sizeof(secp256k1_ge_storage));
+ secp256k1_ecmult_gen_create_prec_table(table, &secp256k1_ge_const_g, bits);
+
+ fprintf(fp, "#if ECMULT_GEN_PREC_BITS == %d\n", bits);
+ for(outer = 0; outer != n; outer++) {
+ fprintf(fp,"{");
+ for(inner = 0; inner != g; inner++) {
+ fprintf(fp, "S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32
+ ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")",
+ SECP256K1_GE_STORAGE_CONST_GET(table[outer * g + inner]));
+ if (inner != g - 1) {
+ fprintf(fp,",\n");
+ }
+ }
+ if (outer != n - 1) {
+ fprintf(fp,"},\n");
+ } else {
+ fprintf(fp,"}\n");
+ }
+ }
+ fprintf(fp, "#endif\n");
+ free(table);
+ }
+
+ fprintf(fp, "};\n");
+ fprintf(fp, "#endif /* EXHAUSTIVE_TEST_ORDER */\n");
+ fprintf(fp, "#undef SC\n");
+ fprintf(fp, "#endif /* SECP256K1_ECMULT_GEN_STATIC_PREC_TABLE_H */\n");
+ fclose(fp);
+
+ return 0;
+}
diff --git a/src/secp256k1/src/gen_ecmult_static_pre_g.c b/src/secp256k1/src/gen_ecmult_static_pre_g.c
new file mode 100644
index 0000000000..ba1d1f17d7
--- /dev/null
+++ b/src/secp256k1/src/gen_ecmult_static_pre_g.c
@@ -0,0 +1,131 @@
+/*****************************************************************************************************
+ * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php. *
+ *****************************************************************************************************/
+
+#include <inttypes.h>
+#include <stdio.h>
+
+/* Autotools creates libsecp256k1-config.h, of which ECMULT_WINDOW_SIZE is needed.
+ ifndef guard so downstream users can define their own if they do not use autotools. */
+#if !defined(ECMULT_WINDOW_SIZE)
+#include "libsecp256k1-config.h"
+#endif
+
+#include "../include/secp256k1.h"
+#include "assumptions.h"
+#include "util.h"
+#include "field_impl.h"
+#include "group_impl.h"
+#include "ecmult.h"
+
+void print_table(FILE *fp, const char *name, int window_g, const secp256k1_gej *gen, int with_conditionals) {
+ static secp256k1_gej gj;
+ static secp256k1_ge ge, dgen;
+ static secp256k1_ge_storage ges;
+ int j;
+ int i;
+
+ gj = *gen;
+ secp256k1_ge_set_gej_var(&ge, &gj);
+ secp256k1_ge_to_storage(&ges, &ge);
+
+ fprintf(fp, "static const secp256k1_ge_storage %s[ECMULT_TABLE_SIZE(WINDOW_G)] = {\n", name);
+ fprintf(fp, " S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32
+ ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n",
+ SECP256K1_GE_STORAGE_CONST_GET(ges));
+
+ secp256k1_gej_double_var(&gj, gen, NULL);
+ secp256k1_ge_set_gej_var(&dgen, &gj);
+
+ j = 1;
+ for(i = 3; i <= window_g; ++i) {
+ if (with_conditionals) {
+ fprintf(fp, "#if ECMULT_TABLE_SIZE(WINDOW_G) > %ld\n", ECMULT_TABLE_SIZE(i-1));
+ }
+ for(;j < ECMULT_TABLE_SIZE(i); ++j) {
+ secp256k1_gej_set_ge(&gj, &ge);
+ secp256k1_gej_add_ge_var(&gj, &gj, &dgen, NULL);
+ secp256k1_ge_set_gej_var(&ge, &gj);
+ secp256k1_ge_to_storage(&ges, &ge);
+
+ fprintf(fp, ",S(%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32
+ ",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32",%"PRIx32")\n",
+ SECP256K1_GE_STORAGE_CONST_GET(ges));
+ }
+ if (with_conditionals) {
+ fprintf(fp, "#endif\n");
+ }
+ }
+ fprintf(fp, "};\n");
+}
+
+void print_two_tables(FILE *fp, int window_g, const secp256k1_ge *g, int with_conditionals) {
+ secp256k1_gej gj;
+ int i;
+
+ secp256k1_gej_set_ge(&gj, g);
+ print_table(fp, "secp256k1_pre_g", window_g, &gj, with_conditionals);
+ for (i = 0; i < 128; ++i) {
+ secp256k1_gej_double_var(&gj, &gj, NULL);
+ }
+ print_table(fp, "secp256k1_pre_g_128", window_g, &gj, with_conditionals);
+}
+
+int main(void) {
+ const secp256k1_ge g = SECP256K1_G;
+ const secp256k1_ge g_13 = SECP256K1_G_ORDER_13;
+ const secp256k1_ge g_199 = SECP256K1_G_ORDER_199;
+ const int window_g_13 = 4;
+ const int window_g_199 = 8;
+ FILE* fp;
+
+ fp = fopen("src/ecmult_static_pre_g.h","w");
+ if (fp == NULL) {
+ fprintf(stderr, "Could not open src/ecmult_static_pre_g.h for writing!\n");
+ return -1;
+ }
+
+ fprintf(fp, "/* This file was automatically generated by gen_ecmult_static_pre_g. */\n");
+ fprintf(fp, "/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and\n");
+ fprintf(fp, " * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G.\n");
+ fprintf(fp, " */\n");
+ fprintf(fp, "#ifndef SECP256K1_ECMULT_STATIC_PRE_G_H\n");
+ fprintf(fp, "#define SECP256K1_ECMULT_STATIC_PRE_G_H\n");
+ fprintf(fp, "#include \"group.h\"\n");
+ fprintf(fp, "#ifdef S\n");
+ fprintf(fp, " #error macro identifier S already in use.\n");
+ fprintf(fp, "#endif\n");
+ fprintf(fp, "#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) "
+ "SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,"
+ "0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u)\n");
+ fprintf(fp, "#if ECMULT_TABLE_SIZE(ECMULT_WINDOW_SIZE) > %ld\n", ECMULT_TABLE_SIZE(ECMULT_WINDOW_SIZE));
+ fprintf(fp, " #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting ecmult_static_pre_g.h before the build.\n");
+ fprintf(fp, "#endif\n");
+ fprintf(fp, "#if defined(EXHAUSTIVE_TEST_ORDER)\n");
+ fprintf(fp, "#if EXHAUSTIVE_TEST_ORDER == 13\n");
+ fprintf(fp, "#define WINDOW_G %d\n", window_g_13);
+
+ print_two_tables(fp, window_g_13, &g_13, 0);
+
+ fprintf(fp, "#elif EXHAUSTIVE_TEST_ORDER == 199\n");
+ fprintf(fp, "#define WINDOW_G %d\n", window_g_199);
+
+ print_two_tables(fp, window_g_199, &g_199, 0);
+
+ fprintf(fp, "#else\n");
+ fprintf(fp, " #error No known generator for the specified exhaustive test group order.\n");
+ fprintf(fp, "#endif\n");
+ fprintf(fp, "#else /* !defined(EXHAUSTIVE_TEST_ORDER) */\n");
+ fprintf(fp, "#define WINDOW_G ECMULT_WINDOW_SIZE\n");
+
+ print_two_tables(fp, ECMULT_WINDOW_SIZE, &g, 1);
+
+ fprintf(fp, "#endif\n");
+ fprintf(fp, "#undef S\n");
+ fprintf(fp, "#endif\n");
+ fclose(fp);
+
+ return 0;
+}
diff --git a/src/secp256k1/src/group.h b/src/secp256k1/src/group.h
index 36e39ecf0f..b9cd334dae 100644
--- a/src/secp256k1/src/group.h
+++ b/src/secp256k1/src/group.h
@@ -1,13 +1,12 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_GROUP_H
#define SECP256K1_GROUP_H
-#include "num.h"
#include "field.h"
/** A group element of the secp256k1 curve, in affine coordinates. */
@@ -43,12 +42,6 @@ typedef struct {
/** Set a group element equal to the point with given X and Y coordinates */
static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y);
-/** Set a group element (affine) equal to the point with the given X coordinate
- * and a Y coordinate that is a quadratic residue modulo p. The return value
- * is true iff a coordinate with the given X coordinate exists.
- */
-static int secp256k1_ge_set_xquad(secp256k1_ge *r, const secp256k1_fe *x);
-
/** Set a group element (affine) equal to the point with the given X coordinate, and given oddness
* for Y. Return value indicates whether the result is valid. */
static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd);
@@ -62,9 +55,12 @@ static int secp256k1_ge_is_valid_var(const secp256k1_ge *a);
/** Set r equal to the inverse of a (i.e., mirrored around the X axis) */
static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a);
-/** Set a group element equal to another which is given in jacobian coordinates */
+/** Set a group element equal to another which is given in jacobian coordinates. Constant time. */
static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a);
+/** Set a group element equal to another which is given in jacobian coordinates. */
+static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a);
+
/** Set a batch of group elements equal to the inputs given in jacobian coordinates */
static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len);
@@ -93,9 +89,6 @@ static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a);
/** Check whether a group element is the point at infinity. */
static int secp256k1_gej_is_infinity(const secp256k1_gej *a);
-/** Check whether a group element's y coordinate is a quadratic residue. */
-static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a);
-
/** Set r equal to the double of a. Constant time. */
static void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a);
diff --git a/src/secp256k1/src/group_impl.h b/src/secp256k1/src/group_impl.h
index a5fbc91a0f..bce9fbdad5 100644
--- a/src/secp256k1/src/group_impl.h
+++ b/src/secp256k1/src/group_impl.h
@@ -1,16 +1,36 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_GROUP_IMPL_H
#define SECP256K1_GROUP_IMPL_H
-#include "num.h"
#include "field.h"
#include "group.h"
+#define SECP256K1_G_ORDER_13 SECP256K1_GE_CONST(\
+ 0xc3459c3d, 0x35326167, 0xcd86cce8, 0x07a2417f,\
+ 0x5b8bd567, 0xde8538ee, 0x0d507b0c, 0xd128f5bb,\
+ 0x8e467fec, 0xcd30000a, 0x6cc1184e, 0x25d382c2,\
+ 0xa2f4494e, 0x2fbe9abc, 0x8b64abac, 0xd005fb24\
+)
+#define SECP256K1_G_ORDER_199 SECP256K1_GE_CONST(\
+ 0x226e653f, 0xc8df7744, 0x9bacbf12, 0x7d1dcbf9,\
+ 0x87f05b2a, 0xe7edbd28, 0x1f564575, 0xc48dcf18,\
+ 0xa13872c2, 0xe933bb17, 0x5d9ffd5b, 0xb5b6e10c,\
+ 0x57fe3c00, 0xbaaaa15a, 0xe003ec3e, 0x9c269bae\
+)
+/** Generator for secp256k1, value 'g' defined in
+ * "Standards for Efficient Cryptography" (SEC2) 2.7.1.
+ */
+#define SECP256K1_G SECP256K1_GE_CONST(\
+ 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,\
+ 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,\
+ 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,\
+ 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL\
+)
/* These exhaustive group test orders and generators are chosen such that:
* - The field size is equal to that of secp256k1, so field code is the same.
* - The curve equation is of the form y^2=x^3+B for some constant B.
@@ -22,23 +42,15 @@
*/
#if defined(EXHAUSTIVE_TEST_ORDER)
# if EXHAUSTIVE_TEST_ORDER == 13
-static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST(
- 0xc3459c3d, 0x35326167, 0xcd86cce8, 0x07a2417f,
- 0x5b8bd567, 0xde8538ee, 0x0d507b0c, 0xd128f5bb,
- 0x8e467fec, 0xcd30000a, 0x6cc1184e, 0x25d382c2,
- 0xa2f4494e, 0x2fbe9abc, 0x8b64abac, 0xd005fb24
-);
+static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_13;
+
static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(
0x3d3486b2, 0x159a9ca5, 0xc75638be, 0xb23a69bc,
0x946a45ab, 0x24801247, 0xb4ed2b8e, 0x26b6a417
);
# elif EXHAUSTIVE_TEST_ORDER == 199
-static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST(
- 0x226e653f, 0xc8df7744, 0x9bacbf12, 0x7d1dcbf9,
- 0x87f05b2a, 0xe7edbd28, 0x1f564575, 0xc48dcf18,
- 0xa13872c2, 0xe933bb17, 0x5d9ffd5b, 0xb5b6e10c,
- 0x57fe3c00, 0xbaaaa15a, 0xe003ec3e, 0x9c269bae
-);
+static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_199;
+
static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(
0x2cca28fa, 0xfc614b80, 0x2a3db42b, 0x00ba00b1,
0xbea8d943, 0xdace9ab2, 0x9536daea, 0x0074defb
@@ -47,15 +59,7 @@ static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(
# error No known generator for the specified exhaustive test group order.
# endif
#else
-/** Generator for secp256k1, value 'g' defined in
- * "Standards for Efficient Cryptography" (SEC2) 2.7.1.
- */
-static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST(
- 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,
- 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,
- 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,
- 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL
-);
+static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G;
static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 7);
#endif
@@ -63,6 +67,7 @@ static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(0, 0, 0, 0,
static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi) {
secp256k1_fe zi2;
secp256k1_fe zi3;
+ VERIFY_CHECK(!a->infinity);
secp256k1_fe_sqr(&zi2, zi);
secp256k1_fe_mul(&zi3, &zi2, zi);
secp256k1_fe_mul(&r->x, &a->x, &zi2);
@@ -101,8 +106,8 @@ static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) {
static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) {
secp256k1_fe z2, z3;
- r->infinity = a->infinity;
if (a->infinity) {
+ secp256k1_ge_set_infinity(r);
return;
}
secp256k1_fe_inv_var(&a->z, &a->z);
@@ -111,8 +116,7 @@ static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) {
secp256k1_fe_mul(&a->x, &a->x, &z2);
secp256k1_fe_mul(&a->y, &a->y, &z3);
secp256k1_fe_set_int(&a->z, 1);
- r->x = a->x;
- r->y = a->y;
+ secp256k1_ge_set_xy(r, &a->x, &a->y);
}
static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len) {
@@ -121,7 +125,9 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a
size_t last_i = SIZE_MAX;
for (i = 0; i < len; i++) {
- if (!a[i].infinity) {
+ if (a[i].infinity) {
+ secp256k1_ge_set_infinity(&r[i]);
+ } else {
/* Use destination's x coordinates as scratch space */
if (last_i == SIZE_MAX) {
r[i].x = a[i].z;
@@ -149,7 +155,6 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a
r[last_i].x = u;
for (i = 0; i < len; i++) {
- r[i].infinity = a[i].infinity;
if (!a[i].infinity) {
secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x);
}
@@ -207,18 +212,14 @@ static void secp256k1_ge_clear(secp256k1_ge *r) {
secp256k1_fe_clear(&r->y);
}
-static int secp256k1_ge_set_xquad(secp256k1_ge *r, const secp256k1_fe *x) {
+static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) {
secp256k1_fe x2, x3;
r->x = *x;
secp256k1_fe_sqr(&x2, x);
secp256k1_fe_mul(&x3, x, &x2);
r->infinity = 0;
secp256k1_fe_add(&x3, &secp256k1_fe_const_b);
- return secp256k1_fe_sqrt(&r->y, &x3);
-}
-
-static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) {
- if (!secp256k1_ge_set_xquad(r, x)) {
+ if (!secp256k1_fe_sqrt(&r->y, &x3)) {
return 0;
}
secp256k1_fe_normalize_var(&r->y);
@@ -316,7 +317,7 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s
* point will be gibberish (z = 0 but infinity = 0).
*/
if (a->infinity) {
- r->infinity = 1;
+ secp256k1_gej_set_infinity(r);
if (rzr != NULL) {
secp256k1_fe_set_int(rzr, 1);
}
@@ -591,7 +592,7 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const
secp256k1_fe_cmov(&n, &m, degenerate); /* n = M^3 * Malt (2) */
secp256k1_fe_sqr(&t, &rr_alt); /* t = Ralt^2 (1) */
secp256k1_fe_mul(&r->z, &a->z, &m_alt); /* r->z = Malt*Z (1) */
- infinity = secp256k1_fe_normalizes_to_zero(&r->z) * (1 - a->infinity);
+ infinity = secp256k1_fe_normalizes_to_zero(&r->z) & ~a->infinity;
secp256k1_fe_mul_int(&r->z, 2); /* r->z = Z3 = 2*Malt*Z (2) */
secp256k1_fe_negate(&q, &q, 1); /* q = -Q (2) */
secp256k1_fe_add(&t, &q); /* t = Ralt^2-Q (3) */
@@ -655,26 +656,12 @@ static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a) {
secp256k1_fe_mul(&r->x, &r->x, &beta);
}
-static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a) {
- secp256k1_fe yz;
-
- if (a->infinity) {
- return 0;
- }
-
- /* We rely on the fact that the Jacobi symbol of 1 / a->z^3 is the same as
- * that of a->z. Thus a->y / a->z^3 is a quadratic residue iff a->y * a->z
- is */
- secp256k1_fe_mul(&yz, &a->y, &a->z);
- return secp256k1_fe_is_quad_var(&yz);
-}
-
static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge) {
#ifdef EXHAUSTIVE_TEST_ORDER
secp256k1_gej out;
int i;
- /* A very simple EC multiplication ladder that avoids a dependecy on ecmult. */
+ /* A very simple EC multiplication ladder that avoids a dependency on ecmult. */
secp256k1_gej_set_infinity(&out);
for (i = 0; i < 32; ++i) {
secp256k1_gej_double_var(&out, &out, NULL);
diff --git a/src/secp256k1/src/hash.h b/src/secp256k1/src/hash.h
index de26e4b89f..0947a09694 100644
--- a/src/secp256k1/src/hash.h
+++ b/src/secp256k1/src/hash.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_HASH_H
#define SECP256K1_HASH_H
diff --git a/src/secp256k1/src/hash_impl.h b/src/secp256k1/src/hash_impl.h
index 409772587b..f8cd3a1634 100644
--- a/src/secp256k1/src/hash_impl.h
+++ b/src/secp256k1/src/hash_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_HASH_IMPL_H
#define SECP256K1_HASH_IMPL_H
diff --git a/src/secp256k1/src/modinv32.h b/src/secp256k1/src/modinv32.h
new file mode 100644
index 0000000000..0efdda9ab5
--- /dev/null
+++ b/src/secp256k1/src/modinv32.h
@@ -0,0 +1,42 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV32_H
+#define SECP256K1_MODINV32_H
+
+#if defined HAVE_CONFIG_H
+#include "libsecp256k1-config.h"
+#endif
+
+#include "util.h"
+
+/* A signed 30-bit limb representation of integers.
+ *
+ * Its value is sum(v[i] * 2^(30*i), i=0..8). */
+typedef struct {
+ int32_t v[9];
+} secp256k1_modinv32_signed30;
+
+typedef struct {
+ /* The modulus in signed30 notation, must be odd and in [3, 2^256]. */
+ secp256k1_modinv32_signed30 modulus;
+
+ /* modulus^{-1} mod 2^30 */
+ uint32_t modulus_inv30;
+} secp256k1_modinv32_modinfo;
+
+/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus).
+ * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of
+ * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime.
+ *
+ * On output, all of x's limbs will be in [0, 2^30).
+ */
+static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo);
+
+/* Same as secp256k1_modinv32_var, but constant time in x (not in the modulus). */
+static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo);
+
+#endif /* SECP256K1_MODINV32_H */
diff --git a/src/secp256k1/src/modinv32_impl.h b/src/secp256k1/src/modinv32_impl.h
new file mode 100644
index 0000000000..661c5fc04c
--- /dev/null
+++ b/src/secp256k1/src/modinv32_impl.h
@@ -0,0 +1,587 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV32_IMPL_H
+#define SECP256K1_MODINV32_IMPL_H
+
+#include "modinv32.h"
+
+#include "util.h"
+
+#include <stdlib.h>
+
+/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and
+ * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang.
+ *
+ * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an
+ * implementation for N=30, using 30-bit signed limbs represented as int32_t.
+ */
+
+#ifdef VERIFY
+static const secp256k1_modinv32_signed30 SECP256K1_SIGNED30_ONE = {{1}};
+
+/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^30). */
+static void secp256k1_modinv32_mul_30(secp256k1_modinv32_signed30 *r, const secp256k1_modinv32_signed30 *a, int alen, int32_t factor) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ int64_t c = 0;
+ int i;
+ for (i = 0; i < 8; ++i) {
+ if (i < alen) c += (int64_t)a->v[i] * factor;
+ r->v[i] = (int32_t)c & M30; c >>= 30;
+ }
+ if (8 < alen) c += (int64_t)a->v[8] * factor;
+ VERIFY_CHECK(c == (int32_t)c);
+ r->v[8] = (int32_t)c;
+}
+
+/* Return -1 for a<b*factor, 0 for a==b*factor, 1 for a>b*factor. A consists of alen limbs; b has 9. */
+static int secp256k1_modinv32_mul_cmp_30(const secp256k1_modinv32_signed30 *a, int alen, const secp256k1_modinv32_signed30 *b, int32_t factor) {
+ int i;
+ secp256k1_modinv32_signed30 am, bm;
+ secp256k1_modinv32_mul_30(&am, a, alen, 1); /* Normalize all but the top limb of a. */
+ secp256k1_modinv32_mul_30(&bm, b, 9, factor);
+ for (i = 0; i < 8; ++i) {
+ /* Verify that all but the top limb of a and b are normalized. */
+ VERIFY_CHECK(am.v[i] >> 30 == 0);
+ VERIFY_CHECK(bm.v[i] >> 30 == 0);
+ }
+ for (i = 8; i >= 0; --i) {
+ if (am.v[i] < bm.v[i]) return -1;
+ if (am.v[i] > bm.v[i]) return 1;
+ }
+ return 0;
+}
+#endif
+
+/* Take as input a signed30 number in range (-2*modulus,modulus), and add a multiple of the modulus
+ * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the
+ * process. The input must have limbs in range (-2^30,2^30). The output will have limbs in range
+ * [0,2^30). */
+static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int32_t sign, const secp256k1_modinv32_modinfo *modinfo) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ int32_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4],
+ r5 = r->v[5], r6 = r->v[6], r7 = r->v[7], r8 = r->v[8];
+ int32_t cond_add, cond_negate;
+
+#ifdef VERIFY
+ /* Verify that all limbs are in range (-2^30,2^30). */
+ int i;
+ for (i = 0; i < 9; ++i) {
+ VERIFY_CHECK(r->v[i] >= -M30);
+ VERIFY_CHECK(r->v[i] <= M30);
+ }
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, -2) > 0); /* r > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */
+#endif
+
+ /* In a first step, add the modulus if the input is negative, and then negate if requested.
+ * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input
+ * limbs are in range (-2^30,2^30), this cannot overflow an int32_t. Note that the right
+ * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is
+ * indeed the behavior of the right shift operator). */
+ cond_add = r8 >> 31;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ r5 += modinfo->modulus.v[5] & cond_add;
+ r6 += modinfo->modulus.v[6] & cond_add;
+ r7 += modinfo->modulus.v[7] & cond_add;
+ r8 += modinfo->modulus.v[8] & cond_add;
+ cond_negate = sign >> 31;
+ r0 = (r0 ^ cond_negate) - cond_negate;
+ r1 = (r1 ^ cond_negate) - cond_negate;
+ r2 = (r2 ^ cond_negate) - cond_negate;
+ r3 = (r3 ^ cond_negate) - cond_negate;
+ r4 = (r4 ^ cond_negate) - cond_negate;
+ r5 = (r5 ^ cond_negate) - cond_negate;
+ r6 = (r6 ^ cond_negate) - cond_negate;
+ r7 = (r7 ^ cond_negate) - cond_negate;
+ r8 = (r8 ^ cond_negate) - cond_negate;
+ /* Propagate the top bits, to bring limbs back to range (-2^30,2^30). */
+ r1 += r0 >> 30; r0 &= M30;
+ r2 += r1 >> 30; r1 &= M30;
+ r3 += r2 >> 30; r2 &= M30;
+ r4 += r3 >> 30; r3 &= M30;
+ r5 += r4 >> 30; r4 &= M30;
+ r6 += r5 >> 30; r5 &= M30;
+ r7 += r6 >> 30; r6 &= M30;
+ r8 += r7 >> 30; r7 &= M30;
+
+ /* In a second step add the modulus again if the result is still negative, bringing r to range
+ * [0,modulus). */
+ cond_add = r8 >> 31;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ r5 += modinfo->modulus.v[5] & cond_add;
+ r6 += modinfo->modulus.v[6] & cond_add;
+ r7 += modinfo->modulus.v[7] & cond_add;
+ r8 += modinfo->modulus.v[8] & cond_add;
+ /* And propagate again. */
+ r1 += r0 >> 30; r0 &= M30;
+ r2 += r1 >> 30; r1 &= M30;
+ r3 += r2 >> 30; r2 &= M30;
+ r4 += r3 >> 30; r3 &= M30;
+ r5 += r4 >> 30; r4 &= M30;
+ r6 += r5 >> 30; r5 &= M30;
+ r7 += r6 >> 30; r6 &= M30;
+ r8 += r7 >> 30; r7 &= M30;
+
+ r->v[0] = r0;
+ r->v[1] = r1;
+ r->v[2] = r2;
+ r->v[3] = r3;
+ r->v[4] = r4;
+ r->v[5] = r5;
+ r->v[6] = r6;
+ r->v[7] = r7;
+ r->v[8] = r8;
+
+#ifdef VERIFY
+ VERIFY_CHECK(r0 >> 30 == 0);
+ VERIFY_CHECK(r1 >> 30 == 0);
+ VERIFY_CHECK(r2 >> 30 == 0);
+ VERIFY_CHECK(r3 >> 30 == 0);
+ VERIFY_CHECK(r4 >> 30 == 0);
+ VERIFY_CHECK(r5 >> 30 == 0);
+ VERIFY_CHECK(r6 >> 30 == 0);
+ VERIFY_CHECK(r7 >> 30 == 0);
+ VERIFY_CHECK(r8 >> 30 == 0);
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 0) >= 0); /* r >= 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */
+#endif
+}
+
+/* Data type for transition matrices (see section 3 of explanation).
+ *
+ * t = [ u v ]
+ * [ q r ]
+ */
+typedef struct {
+ int32_t u, v, q, r;
+} secp256k1_modinv32_trans2x2;
+
+/* Compute the transition matrix and zeta for 30 divsteps.
+ *
+ * Input: zeta: initial zeta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final zeta
+ *
+ * Implements the divsteps_n_matrix function from the explanation.
+ */
+static int32_t secp256k1_modinv32_divsteps_30(int32_t zeta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) {
+ /* u,v,q,r are the elements of the transformation matrix being built up,
+ * starting with the identity matrix. Semantically they are signed integers
+ * in range [-2^30,2^30], but here represented as unsigned mod 2^32. This
+ * permits left shifting (which is UB for negative numbers). The range
+ * being inside [-2^31,2^31) means that casting to signed works correctly.
+ */
+ uint32_t u = 1, v = 0, q = 0, r = 1;
+ uint32_t c1, c2, f = f0, g = g0, x, y, z;
+ int i;
+
+ for (i = 0; i < 30; ++i) {
+ VERIFY_CHECK((f & 1) == 1); /* f must always be odd */
+ VERIFY_CHECK((u * f0 + v * g0) == f << i);
+ VERIFY_CHECK((q * f0 + r * g0) == g << i);
+ /* Compute conditional masks for (zeta < 0) and for (g & 1). */
+ c1 = zeta >> 31;
+ c2 = -(g & 1);
+ /* Compute x,y,z, conditionally negated versions of f,u,v. */
+ x = (f ^ c1) - c1;
+ y = (u ^ c1) - c1;
+ z = (v ^ c1) - c1;
+ /* Conditionally add x,y,z to g,q,r. */
+ g += x & c2;
+ q += y & c2;
+ r += z & c2;
+ /* In what follows, c1 is a condition mask for (zeta < 0) and (g & 1). */
+ c1 &= c2;
+ /* Conditionally change zeta into -zeta-2 or zeta-1. */
+ zeta = (zeta ^ c1) - 1;
+ /* Conditionally add g,q,r to f,u,v. */
+ f += g & c1;
+ u += q & c1;
+ v += r & c1;
+ /* Shifts */
+ g >>= 1;
+ u <<= 1;
+ v <<= 1;
+ /* Bounds on zeta that follow from the bounds on iteration count (max 20*30 divsteps). */
+ VERIFY_CHECK(zeta >= -601 && zeta <= 601);
+ }
+ /* Return data in t and return value. */
+ t->u = (int32_t)u;
+ t->v = (int32_t)v;
+ t->q = (int32_t)q;
+ t->r = (int32_t)r;
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 30 of them will have determinant 2^30. */
+ VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30);
+ return zeta;
+}
+
+/* Compute the transition matrix and eta for 30 divsteps (variable time).
+ *
+ * Input: eta: initial eta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final eta
+ *
+ * Implements the divsteps_n_matrix_var function from the explanation.
+ */
+static int32_t secp256k1_modinv32_divsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) {
+ /* inv256[i] = -(2*i+1)^-1 (mod 256) */
+ static const uint8_t inv256[128] = {
+ 0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59,
+ 0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31,
+ 0x2F, 0x05, 0xE3, 0x79, 0xF7, 0x0D, 0xEB, 0x41, 0x3F, 0x95, 0x73, 0x89,
+ 0x07, 0x9D, 0x7B, 0x51, 0x4F, 0x25, 0x03, 0x99, 0x17, 0x2D, 0x0B, 0x61,
+ 0x5F, 0xB5, 0x93, 0xA9, 0x27, 0xBD, 0x9B, 0x71, 0x6F, 0x45, 0x23, 0xB9,
+ 0x37, 0x4D, 0x2B, 0x81, 0x7F, 0xD5, 0xB3, 0xC9, 0x47, 0xDD, 0xBB, 0x91,
+ 0x8F, 0x65, 0x43, 0xD9, 0x57, 0x6D, 0x4B, 0xA1, 0x9F, 0xF5, 0xD3, 0xE9,
+ 0x67, 0xFD, 0xDB, 0xB1, 0xAF, 0x85, 0x63, 0xF9, 0x77, 0x8D, 0x6B, 0xC1,
+ 0xBF, 0x15, 0xF3, 0x09, 0x87, 0x1D, 0xFB, 0xD1, 0xCF, 0xA5, 0x83, 0x19,
+ 0x97, 0xAD, 0x8B, 0xE1, 0xDF, 0x35, 0x13, 0x29, 0xA7, 0x3D, 0x1B, 0xF1,
+ 0xEF, 0xC5, 0xA3, 0x39, 0xB7, 0xCD, 0xAB, 0x01
+ };
+
+ /* Transformation matrix; see comments in secp256k1_modinv32_divsteps_30. */
+ uint32_t u = 1, v = 0, q = 0, r = 1;
+ uint32_t f = f0, g = g0, m;
+ uint16_t w;
+ int i = 30, limit, zeros;
+
+ for (;;) {
+ /* Use a sentinel bit to count zeros only up to i. */
+ zeros = secp256k1_ctz32_var(g | (UINT32_MAX << i));
+ /* Perform zeros divsteps at once; they all just divide g by two. */
+ g >>= zeros;
+ u <<= zeros;
+ v <<= zeros;
+ eta -= zeros;
+ i -= zeros;
+ /* We're done once we've done 30 divsteps. */
+ if (i == 0) break;
+ VERIFY_CHECK((f & 1) == 1);
+ VERIFY_CHECK((g & 1) == 1);
+ VERIFY_CHECK((u * f0 + v * g0) == f << (30 - i));
+ VERIFY_CHECK((q * f0 + r * g0) == g << (30 - i));
+ /* Bounds on eta that follow from the bounds on iteration count (max 25*30 divsteps). */
+ VERIFY_CHECK(eta >= -751 && eta <= 751);
+ /* If eta is negative, negate it and replace f,g with g,-f. */
+ if (eta < 0) {
+ uint32_t tmp;
+ eta = -eta;
+ tmp = f; f = g; g = -tmp;
+ tmp = u; u = q; q = -tmp;
+ tmp = v; v = r; r = -tmp;
+ }
+ /* eta is now >= 0. In what follows we're going to cancel out the bottom bits of g. No more
+ * than i can be cancelled out (as we'd be done before that point), and no more than eta+1
+ * can be done as its sign will flip once that happens. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ /* m is a mask for the bottom min(limit, 8) bits (our table only supports 8 bits). */
+ VERIFY_CHECK(limit > 0 && limit <= 30);
+ m = (UINT32_MAX >> (32 - limit)) & 255U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */
+ w = (g * inv256[(f >> 1) & 127]) & m;
+ /* Do so. */
+ g += f * w;
+ q += u * w;
+ r += v * w;
+ VERIFY_CHECK((g & m) == 0);
+ }
+ /* Return data in t and return value. */
+ t->u = (int32_t)u;
+ t->v = (int32_t)v;
+ t->q = (int32_t)q;
+ t->r = (int32_t)r;
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 30 of them will have determinant 2^30. */
+ VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30);
+ return eta;
+}
+
+/* Compute (t/2^30) * [d, e] mod modulus, where t is a transition matrix for 30 divsteps.
+ *
+ * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range
+ * (-2^30,2^30).
+ *
+ * This implements the update_de function from the explanation.
+ */
+static void secp256k1_modinv32_update_de_30(secp256k1_modinv32_signed30 *d, secp256k1_modinv32_signed30 *e, const secp256k1_modinv32_trans2x2 *t, const secp256k1_modinv32_modinfo* modinfo) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ const int32_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int32_t di, ei, md, me, sd, se;
+ int64_t cd, ce;
+ int i;
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */
+ VERIFY_CHECK((labs(u) + labs(v)) >= 0); /* |u|+|v| doesn't overflow */
+ VERIFY_CHECK((labs(q) + labs(r)) >= 0); /* |q|+|r| doesn't overflow */
+ VERIFY_CHECK((labs(u) + labs(v)) <= M30 + 1); /* |u|+|v| <= 2^30 */
+ VERIFY_CHECK((labs(q) + labs(r)) <= M30 + 1); /* |q|+|r| <= 2^30 */
+#endif
+ /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */
+ sd = d->v[8] >> 31;
+ se = e->v[8] >> 31;
+ md = (u & sd) + (v & se);
+ me = (q & sd) + (r & se);
+ /* Begin computing t*[d,e]. */
+ di = d->v[0];
+ ei = e->v[0];
+ cd = (int64_t)u * di + (int64_t)v * ei;
+ ce = (int64_t)q * di + (int64_t)r * ei;
+ /* Correct md,me so that t*[d,e]+modulus*[md,me] has 30 zero bottom bits. */
+ md -= (modinfo->modulus_inv30 * (uint32_t)cd + md) & M30;
+ me -= (modinfo->modulus_inv30 * (uint32_t)ce + me) & M30;
+ /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */
+ cd += (int64_t)modinfo->modulus.v[0] * md;
+ ce += (int64_t)modinfo->modulus.v[0] * me;
+ /* Verify that the low 30 bits of the computation are indeed zero, and then throw them away. */
+ VERIFY_CHECK(((int32_t)cd & M30) == 0); cd >>= 30;
+ VERIFY_CHECK(((int32_t)ce & M30) == 0); ce >>= 30;
+ /* Now iteratively compute limb i=1..8 of t*[d,e]+modulus*[md,me], and store them in output
+ * limb i-1 (shifting down by 30 bits). */
+ for (i = 1; i < 9; ++i) {
+ di = d->v[i];
+ ei = e->v[i];
+ cd += (int64_t)u * di + (int64_t)v * ei;
+ ce += (int64_t)q * di + (int64_t)r * ei;
+ cd += (int64_t)modinfo->modulus.v[i] * md;
+ ce += (int64_t)modinfo->modulus.v[i] * me;
+ d->v[i - 1] = (int32_t)cd & M30; cd >>= 30;
+ e->v[i - 1] = (int32_t)ce & M30; ce >>= 30;
+ }
+ /* What remains is limb 9 of t*[d,e]+modulus*[md,me]; store it as output limb 8. */
+ d->v[8] = (int32_t)cd;
+ e->v[8] = (int32_t)ce;
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */
+#endif
+}
+
+/* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps.
+ *
+ * This implements the update_fg function from the explanation.
+ */
+static void secp256k1_modinv32_update_fg_30(secp256k1_modinv32_signed30 *f, secp256k1_modinv32_signed30 *g, const secp256k1_modinv32_trans2x2 *t) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ const int32_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int32_t fi, gi;
+ int64_t cf, cg;
+ int i;
+ /* Start computing t*[f,g]. */
+ fi = f->v[0];
+ gi = g->v[0];
+ cf = (int64_t)u * fi + (int64_t)v * gi;
+ cg = (int64_t)q * fi + (int64_t)r * gi;
+ /* Verify that the bottom 30 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK(((int32_t)cf & M30) == 0); cf >>= 30;
+ VERIFY_CHECK(((int32_t)cg & M30) == 0); cg >>= 30;
+ /* Now iteratively compute limb i=1..8 of t*[f,g], and store them in output limb i-1 (shifting
+ * down by 30 bits). */
+ for (i = 1; i < 9; ++i) {
+ fi = f->v[i];
+ gi = g->v[i];
+ cf += (int64_t)u * fi + (int64_t)v * gi;
+ cg += (int64_t)q * fi + (int64_t)r * gi;
+ f->v[i - 1] = (int32_t)cf & M30; cf >>= 30;
+ g->v[i - 1] = (int32_t)cg & M30; cg >>= 30;
+ }
+ /* What remains is limb 9 of t*[f,g]; store it as output limb 8. */
+ f->v[8] = (int32_t)cf;
+ g->v[8] = (int32_t)cg;
+}
+
+/* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps.
+ *
+ * Version that operates on a variable number of limbs in f and g.
+ *
+ * This implements the update_fg function from the explanation in modinv64_impl.h.
+ */
+static void secp256k1_modinv32_update_fg_30_var(int len, secp256k1_modinv32_signed30 *f, secp256k1_modinv32_signed30 *g, const secp256k1_modinv32_trans2x2 *t) {
+ const int32_t M30 = (int32_t)(UINT32_MAX >> 2);
+ const int32_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int32_t fi, gi;
+ int64_t cf, cg;
+ int i;
+ VERIFY_CHECK(len > 0);
+ /* Start computing t*[f,g]. */
+ fi = f->v[0];
+ gi = g->v[0];
+ cf = (int64_t)u * fi + (int64_t)v * gi;
+ cg = (int64_t)q * fi + (int64_t)r * gi;
+ /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK(((int32_t)cf & M30) == 0); cf >>= 30;
+ VERIFY_CHECK(((int32_t)cg & M30) == 0); cg >>= 30;
+ /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting
+ * down by 30 bits). */
+ for (i = 1; i < len; ++i) {
+ fi = f->v[i];
+ gi = g->v[i];
+ cf += (int64_t)u * fi + (int64_t)v * gi;
+ cg += (int64_t)q * fi + (int64_t)r * gi;
+ f->v[i - 1] = (int32_t)cf & M30; cf >>= 30;
+ g->v[i - 1] = (int32_t)cg & M30; cg >>= 30;
+ }
+ /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */
+ f->v[len - 1] = (int32_t)cf;
+ g->v[len - 1] = (int32_t)cg;
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (constant time in x). */
+static void secp256k1_modinv32(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, zeta=-1. */
+ secp256k1_modinv32_signed30 d = {{0}};
+ secp256k1_modinv32_signed30 e = {{1}};
+ secp256k1_modinv32_signed30 f = modinfo->modulus;
+ secp256k1_modinv32_signed30 g = *x;
+ int i;
+ int32_t zeta = -1; /* zeta = -(delta+1/2); delta is initially 1/2. */
+
+ /* Do 20 iterations of 30 divsteps each = 600 divsteps. 590 suffices for 256-bit inputs. */
+ for (i = 0; i < 20; ++i) {
+ /* Compute transition matrix and new zeta after 30 divsteps. */
+ secp256k1_modinv32_trans2x2 t;
+ zeta = secp256k1_modinv32_divsteps_30(zeta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ secp256k1_modinv32_update_fg_30(&f, &g, &t);
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ }
+
+ /* At this point sufficient iterations have been performed that g must have reached 0
+ * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g
+ * values i.e. +/- 1, and d now contains +/- the modular inverse. */
+#ifdef VERIFY
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, 9, &SECP256K1_SIGNED30_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, -1) == 0 ||
+ secp256k1_modinv32_mul_cmp_30(&f, 9, &SECP256K1_SIGNED30_ONE, 1) == 0 ||
+ (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ (secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, 1) == 0 ||
+ secp256k1_modinv32_mul_cmp_30(&f, 9, &modinfo->modulus, -1) == 0)));
+#endif
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv32_normalize_30(&d, f.v[8], modinfo);
+ *x = d;
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */
+static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */
+ secp256k1_modinv32_signed30 d = {{0, 0, 0, 0, 0, 0, 0, 0, 0}};
+ secp256k1_modinv32_signed30 e = {{1, 0, 0, 0, 0, 0, 0, 0, 0}};
+ secp256k1_modinv32_signed30 f = modinfo->modulus;
+ secp256k1_modinv32_signed30 g = *x;
+#ifdef VERIFY
+ int i = 0;
+#endif
+ int j, len = 9;
+ int32_t eta = -1; /* eta = -delta; delta is initially 1 (faster for the variable-time code) */
+ int32_t cond, fn, gn;
+
+ /* Do iterations of 30 divsteps each until g=0. */
+ while (1) {
+ /* Compute transition matrix and new eta after 30 divsteps. */
+ secp256k1_modinv32_trans2x2 t;
+ eta = secp256k1_modinv32_divsteps_30_var(eta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t);
+ /* If the bottom limb of g is 0, there is a chance g=0. */
+ if (g.v[0] == 0) {
+ cond = 0;
+ /* Check if all other limbs are also 0. */
+ for (j = 1; j < len; ++j) {
+ cond |= g.v[j];
+ }
+ /* If so, we're done. */
+ if (cond == 0) break;
+ }
+
+ /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */
+ fn = f.v[len - 1];
+ gn = g.v[len - 1];
+ cond = ((int32_t)len - 2) >> 31;
+ cond |= fn ^ (fn >> 31);
+ cond |= gn ^ (gn >> 31);
+ /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */
+ if (cond == 0) {
+ f.v[len - 2] |= (uint32_t)fn << 30;
+ g.v[len - 2] |= (uint32_t)gn << 30;
+ --len;
+ }
+#ifdef VERIFY
+ VERIFY_CHECK(++i < 25); /* We should never need more than 25*30 = 750 divsteps */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ }
+
+ /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of
+ * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */
+#ifdef VERIFY
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &SECP256K1_SIGNED30_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */
+ VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, -1) == 0 ||
+ secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, 1) == 0 ||
+ (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 &&
+ (secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) == 0 ||
+ secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) == 0)));
+#endif
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv32_normalize_30(&d, f.v[len - 1], modinfo);
+ *x = d;
+}
+
+#endif /* SECP256K1_MODINV32_IMPL_H */
diff --git a/src/secp256k1/src/modinv64.h b/src/secp256k1/src/modinv64.h
new file mode 100644
index 0000000000..da506dfa9f
--- /dev/null
+++ b/src/secp256k1/src/modinv64.h
@@ -0,0 +1,46 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV64_H
+#define SECP256K1_MODINV64_H
+
+#if defined HAVE_CONFIG_H
+#include "libsecp256k1-config.h"
+#endif
+
+#include "util.h"
+
+#ifndef SECP256K1_WIDEMUL_INT128
+#error "modinv64 requires 128-bit wide multiplication support"
+#endif
+
+/* A signed 62-bit limb representation of integers.
+ *
+ * Its value is sum(v[i] * 2^(62*i), i=0..4). */
+typedef struct {
+ int64_t v[5];
+} secp256k1_modinv64_signed62;
+
+typedef struct {
+ /* The modulus in signed62 notation, must be odd and in [3, 2^256]. */
+ secp256k1_modinv64_signed62 modulus;
+
+ /* modulus^{-1} mod 2^62 */
+ uint64_t modulus_inv62;
+} secp256k1_modinv64_modinfo;
+
+/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus).
+ * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of
+ * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime.
+ *
+ * On output, all of x's limbs will be in [0, 2^62).
+ */
+static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo);
+
+/* Same as secp256k1_modinv64_var, but constant time in x (not in the modulus). */
+static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo);
+
+#endif /* SECP256K1_MODINV64_H */
diff --git a/src/secp256k1/src/modinv64_impl.h b/src/secp256k1/src/modinv64_impl.h
new file mode 100644
index 0000000000..0743a9c821
--- /dev/null
+++ b/src/secp256k1/src/modinv64_impl.h
@@ -0,0 +1,593 @@
+/***********************************************************************
+ * Copyright (c) 2020 Peter Dettman *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#ifndef SECP256K1_MODINV64_IMPL_H
+#define SECP256K1_MODINV64_IMPL_H
+
+#include "modinv64.h"
+
+#include "util.h"
+
+/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and
+ * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang.
+ *
+ * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an
+ * implementation for N=62, using 62-bit signed limbs represented as int64_t.
+ */
+
+#ifdef VERIFY
+/* Helper function to compute the absolute value of an int64_t.
+ * (we don't use abs/labs/llabs as it depends on the int sizes). */
+static int64_t secp256k1_modinv64_abs(int64_t v) {
+ VERIFY_CHECK(v > INT64_MIN);
+ if (v < 0) return -v;
+ return v;
+}
+
+static const secp256k1_modinv64_signed62 SECP256K1_SIGNED62_ONE = {{1}};
+
+/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^62). */
+static void secp256k1_modinv64_mul_62(secp256k1_modinv64_signed62 *r, const secp256k1_modinv64_signed62 *a, int alen, int64_t factor) {
+ const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ int128_t c = 0;
+ int i;
+ for (i = 0; i < 4; ++i) {
+ if (i < alen) c += (int128_t)a->v[i] * factor;
+ r->v[i] = (int64_t)c & M62; c >>= 62;
+ }
+ if (4 < alen) c += (int128_t)a->v[4] * factor;
+ VERIFY_CHECK(c == (int64_t)c);
+ r->v[4] = (int64_t)c;
+}
+
+/* Return -1 for a<b*factor, 0 for a==b*factor, 1 for a>b*factor. A has alen limbs; b has 5. */
+static int secp256k1_modinv64_mul_cmp_62(const secp256k1_modinv64_signed62 *a, int alen, const secp256k1_modinv64_signed62 *b, int64_t factor) {
+ int i;
+ secp256k1_modinv64_signed62 am, bm;
+ secp256k1_modinv64_mul_62(&am, a, alen, 1); /* Normalize all but the top limb of a. */
+ secp256k1_modinv64_mul_62(&bm, b, 5, factor);
+ for (i = 0; i < 4; ++i) {
+ /* Verify that all but the top limb of a and b are normalized. */
+ VERIFY_CHECK(am.v[i] >> 62 == 0);
+ VERIFY_CHECK(bm.v[i] >> 62 == 0);
+ }
+ for (i = 4; i >= 0; --i) {
+ if (am.v[i] < bm.v[i]) return -1;
+ if (am.v[i] > bm.v[i]) return 1;
+ }
+ return 0;
+}
+#endif
+
+/* Take as input a signed62 number in range (-2*modulus,modulus), and add a multiple of the modulus
+ * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the
+ * process. The input must have limbs in range (-2^62,2^62). The output will have limbs in range
+ * [0,2^62). */
+static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int64_t sign, const secp256k1_modinv64_modinfo *modinfo) {
+ const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ int64_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4];
+ int64_t cond_add, cond_negate;
+
+#ifdef VERIFY
+ /* Verify that all limbs are in range (-2^62,2^62). */
+ int i;
+ for (i = 0; i < 5; ++i) {
+ VERIFY_CHECK(r->v[i] >= -M62);
+ VERIFY_CHECK(r->v[i] <= M62);
+ }
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, -2) > 0); /* r > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */
+#endif
+
+ /* In a first step, add the modulus if the input is negative, and then negate if requested.
+ * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input
+ * limbs are in range (-2^62,2^62), this cannot overflow an int64_t. Note that the right
+ * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is
+ * indeed the behavior of the right shift operator). */
+ cond_add = r4 >> 63;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ cond_negate = sign >> 63;
+ r0 = (r0 ^ cond_negate) - cond_negate;
+ r1 = (r1 ^ cond_negate) - cond_negate;
+ r2 = (r2 ^ cond_negate) - cond_negate;
+ r3 = (r3 ^ cond_negate) - cond_negate;
+ r4 = (r4 ^ cond_negate) - cond_negate;
+ /* Propagate the top bits, to bring limbs back to range (-2^62,2^62). */
+ r1 += r0 >> 62; r0 &= M62;
+ r2 += r1 >> 62; r1 &= M62;
+ r3 += r2 >> 62; r2 &= M62;
+ r4 += r3 >> 62; r3 &= M62;
+
+ /* In a second step add the modulus again if the result is still negative, bringing
+ * r to range [0,modulus). */
+ cond_add = r4 >> 63;
+ r0 += modinfo->modulus.v[0] & cond_add;
+ r1 += modinfo->modulus.v[1] & cond_add;
+ r2 += modinfo->modulus.v[2] & cond_add;
+ r3 += modinfo->modulus.v[3] & cond_add;
+ r4 += modinfo->modulus.v[4] & cond_add;
+ /* And propagate again. */
+ r1 += r0 >> 62; r0 &= M62;
+ r2 += r1 >> 62; r1 &= M62;
+ r3 += r2 >> 62; r2 &= M62;
+ r4 += r3 >> 62; r3 &= M62;
+
+ r->v[0] = r0;
+ r->v[1] = r1;
+ r->v[2] = r2;
+ r->v[3] = r3;
+ r->v[4] = r4;
+
+#ifdef VERIFY
+ VERIFY_CHECK(r0 >> 62 == 0);
+ VERIFY_CHECK(r1 >> 62 == 0);
+ VERIFY_CHECK(r2 >> 62 == 0);
+ VERIFY_CHECK(r3 >> 62 == 0);
+ VERIFY_CHECK(r4 >> 62 == 0);
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 0) >= 0); /* r >= 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */
+#endif
+}
+
+/* Data type for transition matrices (see section 3 of explanation).
+ *
+ * t = [ u v ]
+ * [ q r ]
+ */
+typedef struct {
+ int64_t u, v, q, r;
+} secp256k1_modinv64_trans2x2;
+
+/* Compute the transition matrix and eta for 59 divsteps (where zeta=-(delta+1/2)).
+ * Note that the transformation matrix is scaled by 2^62 and not 2^59.
+ *
+ * Input: zeta: initial zeta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final zeta
+ *
+ * Implements the divsteps_n_matrix function from the explanation.
+ */
+static int64_t secp256k1_modinv64_divsteps_59(int64_t zeta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t) {
+ /* u,v,q,r are the elements of the transformation matrix being built up,
+ * starting with the identity matrix times 8 (because the caller expects
+ * a result scaled by 2^62). Semantically they are signed integers
+ * in range [-2^62,2^62], but here represented as unsigned mod 2^64. This
+ * permits left shifting (which is UB for negative numbers). The range
+ * being inside [-2^63,2^63) means that casting to signed works correctly.
+ */
+ uint64_t u = 8, v = 0, q = 0, r = 8;
+ uint64_t c1, c2, f = f0, g = g0, x, y, z;
+ int i;
+
+ for (i = 3; i < 62; ++i) {
+ VERIFY_CHECK((f & 1) == 1); /* f must always be odd */
+ VERIFY_CHECK((u * f0 + v * g0) == f << i);
+ VERIFY_CHECK((q * f0 + r * g0) == g << i);
+ /* Compute conditional masks for (zeta < 0) and for (g & 1). */
+ c1 = zeta >> 63;
+ c2 = -(g & 1);
+ /* Compute x,y,z, conditionally negated versions of f,u,v. */
+ x = (f ^ c1) - c1;
+ y = (u ^ c1) - c1;
+ z = (v ^ c1) - c1;
+ /* Conditionally add x,y,z to g,q,r. */
+ g += x & c2;
+ q += y & c2;
+ r += z & c2;
+ /* In what follows, c1 is a condition mask for (zeta < 0) and (g & 1). */
+ c1 &= c2;
+ /* Conditionally change zeta into -zeta-2 or zeta-1. */
+ zeta = (zeta ^ c1) - 1;
+ /* Conditionally add g,q,r to f,u,v. */
+ f += g & c1;
+ u += q & c1;
+ v += r & c1;
+ /* Shifts */
+ g >>= 1;
+ u <<= 1;
+ v <<= 1;
+ /* Bounds on zeta that follow from the bounds on iteration count (max 10*59 divsteps). */
+ VERIFY_CHECK(zeta >= -591 && zeta <= 591);
+ }
+ /* Return data in t and return value. */
+ t->u = (int64_t)u;
+ t->v = (int64_t)v;
+ t->q = (int64_t)q;
+ t->r = (int64_t)r;
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 59 of them will have determinant 2^59. Multiplying with the initial
+ * 8*identity (which has determinant 2^6) means the overall outputs has determinant
+ * 2^65. */
+ VERIFY_CHECK((int128_t)t->u * t->r - (int128_t)t->v * t->q == ((int128_t)1) << 65);
+ return zeta;
+}
+
+/* Compute the transition matrix and eta for 62 divsteps (variable time, eta=-delta).
+ *
+ * Input: eta: initial eta
+ * f0: bottom limb of initial f
+ * g0: bottom limb of initial g
+ * Output: t: transition matrix
+ * Return: final eta
+ *
+ * Implements the divsteps_n_matrix_var function from the explanation.
+ */
+static int64_t secp256k1_modinv64_divsteps_62_var(int64_t eta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t) {
+ /* Transformation matrix; see comments in secp256k1_modinv64_divsteps_62. */
+ uint64_t u = 1, v = 0, q = 0, r = 1;
+ uint64_t f = f0, g = g0, m;
+ uint32_t w;
+ int i = 62, limit, zeros;
+
+ for (;;) {
+ /* Use a sentinel bit to count zeros only up to i. */
+ zeros = secp256k1_ctz64_var(g | (UINT64_MAX << i));
+ /* Perform zeros divsteps at once; they all just divide g by two. */
+ g >>= zeros;
+ u <<= zeros;
+ v <<= zeros;
+ eta -= zeros;
+ i -= zeros;
+ /* We're done once we've done 62 divsteps. */
+ if (i == 0) break;
+ VERIFY_CHECK((f & 1) == 1);
+ VERIFY_CHECK((g & 1) == 1);
+ VERIFY_CHECK((u * f0 + v * g0) == f << (62 - i));
+ VERIFY_CHECK((q * f0 + r * g0) == g << (62 - i));
+ /* Bounds on eta that follow from the bounds on iteration count (max 12*62 divsteps). */
+ VERIFY_CHECK(eta >= -745 && eta <= 745);
+ /* If eta is negative, negate it and replace f,g with g,-f. */
+ if (eta < 0) {
+ uint64_t tmp;
+ eta = -eta;
+ tmp = f; f = g; g = -tmp;
+ tmp = u; u = q; q = -tmp;
+ tmp = v; v = r; r = -tmp;
+ /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled
+ * out (as we'd be done before that point), and no more than eta+1 can be done as its
+ * will flip again once that happens. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ VERIFY_CHECK(limit > 0 && limit <= 62);
+ /* m is a mask for the bottom min(limit, 6) bits. */
+ m = (UINT64_MAX >> (64 - limit)) & 63U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 6)
+ * bits. */
+ w = (f * g * (f * f - 2)) & m;
+ } else {
+ /* In this branch, use a simpler formula that only lets us cancel up to 4 bits of g, as
+ * eta tends to be smaller here. */
+ limit = ((int)eta + 1) > i ? i : ((int)eta + 1);
+ VERIFY_CHECK(limit > 0 && limit <= 62);
+ /* m is a mask for the bottom min(limit, 4) bits. */
+ m = (UINT64_MAX >> (64 - limit)) & 15U;
+ /* Find what multiple of f must be added to g to cancel its bottom min(limit, 4)
+ * bits. */
+ w = f + (((f + 1) & 4) << 1);
+ w = (-w * g) & m;
+ }
+ g += f * w;
+ q += u * w;
+ r += v * w;
+ VERIFY_CHECK((g & m) == 0);
+ }
+ /* Return data in t and return value. */
+ t->u = (int64_t)u;
+ t->v = (int64_t)v;
+ t->q = (int64_t)q;
+ t->r = (int64_t)r;
+ /* The determinant of t must be a power of two. This guarantees that multiplication with t
+ * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which
+ * will be divided out again). As each divstep's individual matrix has determinant 2, the
+ * aggregate of 62 of them will have determinant 2^62. */
+ VERIFY_CHECK((int128_t)t->u * t->r - (int128_t)t->v * t->q == ((int128_t)1) << 62);
+ return eta;
+}
+
+/* Compute (t/2^62) * [d, e] mod modulus, where t is a transition matrix scaled by 2^62.
+ *
+ * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range
+ * (-2^62,2^62).
+ *
+ * This implements the update_de function from the explanation.
+ */
+static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp256k1_modinv64_signed62 *e, const secp256k1_modinv64_trans2x2 *t, const secp256k1_modinv64_modinfo* modinfo) {
+ const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ const int64_t d0 = d->v[0], d1 = d->v[1], d2 = d->v[2], d3 = d->v[3], d4 = d->v[4];
+ const int64_t e0 = e->v[0], e1 = e->v[1], e2 = e->v[2], e3 = e->v[3], e4 = e->v[4];
+ const int64_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int64_t md, me, sd, se;
+ int128_t cd, ce;
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */
+ VERIFY_CHECK((secp256k1_modinv64_abs(u) + secp256k1_modinv64_abs(v)) >= 0); /* |u|+|v| doesn't overflow */
+ VERIFY_CHECK((secp256k1_modinv64_abs(q) + secp256k1_modinv64_abs(r)) >= 0); /* |q|+|r| doesn't overflow */
+ VERIFY_CHECK((secp256k1_modinv64_abs(u) + secp256k1_modinv64_abs(v)) <= M62 + 1); /* |u|+|v| <= 2^62 */
+ VERIFY_CHECK((secp256k1_modinv64_abs(q) + secp256k1_modinv64_abs(r)) <= M62 + 1); /* |q|+|r| <= 2^62 */
+#endif
+ /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */
+ sd = d4 >> 63;
+ se = e4 >> 63;
+ md = (u & sd) + (v & se);
+ me = (q & sd) + (r & se);
+ /* Begin computing t*[d,e]. */
+ cd = (int128_t)u * d0 + (int128_t)v * e0;
+ ce = (int128_t)q * d0 + (int128_t)r * e0;
+ /* Correct md,me so that t*[d,e]+modulus*[md,me] has 62 zero bottom bits. */
+ md -= (modinfo->modulus_inv62 * (uint64_t)cd + md) & M62;
+ me -= (modinfo->modulus_inv62 * (uint64_t)ce + me) & M62;
+ /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */
+ cd += (int128_t)modinfo->modulus.v[0] * md;
+ ce += (int128_t)modinfo->modulus.v[0] * me;
+ /* Verify that the low 62 bits of the computation are indeed zero, and then throw them away. */
+ VERIFY_CHECK(((int64_t)cd & M62) == 0); cd >>= 62;
+ VERIFY_CHECK(((int64_t)ce & M62) == 0); ce >>= 62;
+ /* Compute limb 1 of t*[d,e]+modulus*[md,me], and store it as output limb 0 (= down shift). */
+ cd += (int128_t)u * d1 + (int128_t)v * e1;
+ ce += (int128_t)q * d1 + (int128_t)r * e1;
+ if (modinfo->modulus.v[1]) { /* Optimize for the case where limb of modulus is zero. */
+ cd += (int128_t)modinfo->modulus.v[1] * md;
+ ce += (int128_t)modinfo->modulus.v[1] * me;
+ }
+ d->v[0] = (int64_t)cd & M62; cd >>= 62;
+ e->v[0] = (int64_t)ce & M62; ce >>= 62;
+ /* Compute limb 2 of t*[d,e]+modulus*[md,me], and store it as output limb 1. */
+ cd += (int128_t)u * d2 + (int128_t)v * e2;
+ ce += (int128_t)q * d2 + (int128_t)r * e2;
+ if (modinfo->modulus.v[2]) { /* Optimize for the case where limb of modulus is zero. */
+ cd += (int128_t)modinfo->modulus.v[2] * md;
+ ce += (int128_t)modinfo->modulus.v[2] * me;
+ }
+ d->v[1] = (int64_t)cd & M62; cd >>= 62;
+ e->v[1] = (int64_t)ce & M62; ce >>= 62;
+ /* Compute limb 3 of t*[d,e]+modulus*[md,me], and store it as output limb 2. */
+ cd += (int128_t)u * d3 + (int128_t)v * e3;
+ ce += (int128_t)q * d3 + (int128_t)r * e3;
+ if (modinfo->modulus.v[3]) { /* Optimize for the case where limb of modulus is zero. */
+ cd += (int128_t)modinfo->modulus.v[3] * md;
+ ce += (int128_t)modinfo->modulus.v[3] * me;
+ }
+ d->v[2] = (int64_t)cd & M62; cd >>= 62;
+ e->v[2] = (int64_t)ce & M62; ce >>= 62;
+ /* Compute limb 4 of t*[d,e]+modulus*[md,me], and store it as output limb 3. */
+ cd += (int128_t)u * d4 + (int128_t)v * e4;
+ ce += (int128_t)q * d4 + (int128_t)r * e4;
+ cd += (int128_t)modinfo->modulus.v[4] * md;
+ ce += (int128_t)modinfo->modulus.v[4] * me;
+ d->v[3] = (int64_t)cd & M62; cd >>= 62;
+ e->v[3] = (int64_t)ce & M62; ce >>= 62;
+ /* What remains is limb 5 of t*[d,e]+modulus*[md,me]; store it as output limb 4. */
+ d->v[4] = (int64_t)cd;
+ e->v[4] = (int64_t)ce;
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */
+#endif
+}
+
+/* Compute (t/2^62) * [f, g], where t is a transition matrix scaled by 2^62.
+ *
+ * This implements the update_fg function from the explanation.
+ */
+static void secp256k1_modinv64_update_fg_62(secp256k1_modinv64_signed62 *f, secp256k1_modinv64_signed62 *g, const secp256k1_modinv64_trans2x2 *t) {
+ const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ const int64_t f0 = f->v[0], f1 = f->v[1], f2 = f->v[2], f3 = f->v[3], f4 = f->v[4];
+ const int64_t g0 = g->v[0], g1 = g->v[1], g2 = g->v[2], g3 = g->v[3], g4 = g->v[4];
+ const int64_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int128_t cf, cg;
+ /* Start computing t*[f,g]. */
+ cf = (int128_t)u * f0 + (int128_t)v * g0;
+ cg = (int128_t)q * f0 + (int128_t)r * g0;
+ /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK(((int64_t)cf & M62) == 0); cf >>= 62;
+ VERIFY_CHECK(((int64_t)cg & M62) == 0); cg >>= 62;
+ /* Compute limb 1 of t*[f,g], and store it as output limb 0 (= down shift). */
+ cf += (int128_t)u * f1 + (int128_t)v * g1;
+ cg += (int128_t)q * f1 + (int128_t)r * g1;
+ f->v[0] = (int64_t)cf & M62; cf >>= 62;
+ g->v[0] = (int64_t)cg & M62; cg >>= 62;
+ /* Compute limb 2 of t*[f,g], and store it as output limb 1. */
+ cf += (int128_t)u * f2 + (int128_t)v * g2;
+ cg += (int128_t)q * f2 + (int128_t)r * g2;
+ f->v[1] = (int64_t)cf & M62; cf >>= 62;
+ g->v[1] = (int64_t)cg & M62; cg >>= 62;
+ /* Compute limb 3 of t*[f,g], and store it as output limb 2. */
+ cf += (int128_t)u * f3 + (int128_t)v * g3;
+ cg += (int128_t)q * f3 + (int128_t)r * g3;
+ f->v[2] = (int64_t)cf & M62; cf >>= 62;
+ g->v[2] = (int64_t)cg & M62; cg >>= 62;
+ /* Compute limb 4 of t*[f,g], and store it as output limb 3. */
+ cf += (int128_t)u * f4 + (int128_t)v * g4;
+ cg += (int128_t)q * f4 + (int128_t)r * g4;
+ f->v[3] = (int64_t)cf & M62; cf >>= 62;
+ g->v[3] = (int64_t)cg & M62; cg >>= 62;
+ /* What remains is limb 5 of t*[f,g]; store it as output limb 4. */
+ f->v[4] = (int64_t)cf;
+ g->v[4] = (int64_t)cg;
+}
+
+/* Compute (t/2^62) * [f, g], where t is a transition matrix for 62 divsteps.
+ *
+ * Version that operates on a variable number of limbs in f and g.
+ *
+ * This implements the update_fg function from the explanation.
+ */
+static void secp256k1_modinv64_update_fg_62_var(int len, secp256k1_modinv64_signed62 *f, secp256k1_modinv64_signed62 *g, const secp256k1_modinv64_trans2x2 *t) {
+ const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ const int64_t u = t->u, v = t->v, q = t->q, r = t->r;
+ int64_t fi, gi;
+ int128_t cf, cg;
+ int i;
+ VERIFY_CHECK(len > 0);
+ /* Start computing t*[f,g]. */
+ fi = f->v[0];
+ gi = g->v[0];
+ cf = (int128_t)u * fi + (int128_t)v * gi;
+ cg = (int128_t)q * fi + (int128_t)r * gi;
+ /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */
+ VERIFY_CHECK(((int64_t)cf & M62) == 0); cf >>= 62;
+ VERIFY_CHECK(((int64_t)cg & M62) == 0); cg >>= 62;
+ /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting
+ * down by 62 bits). */
+ for (i = 1; i < len; ++i) {
+ fi = f->v[i];
+ gi = g->v[i];
+ cf += (int128_t)u * fi + (int128_t)v * gi;
+ cg += (int128_t)q * fi + (int128_t)r * gi;
+ f->v[i - 1] = (int64_t)cf & M62; cf >>= 62;
+ g->v[i - 1] = (int64_t)cg & M62; cg >>= 62;
+ }
+ /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */
+ f->v[len - 1] = (int64_t)cf;
+ g->v[len - 1] = (int64_t)cg;
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (constant time in x). */
+static void secp256k1_modinv64(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, zeta=-1. */
+ secp256k1_modinv64_signed62 d = {{0, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 e = {{1, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 f = modinfo->modulus;
+ secp256k1_modinv64_signed62 g = *x;
+ int i;
+ int64_t zeta = -1; /* zeta = -(delta+1/2); delta starts at 1/2. */
+
+ /* Do 10 iterations of 59 divsteps each = 590 divsteps. This suffices for 256-bit inputs. */
+ for (i = 0; i < 10; ++i) {
+ /* Compute transition matrix and new zeta after 59 divsteps. */
+ secp256k1_modinv64_trans2x2 t;
+ zeta = secp256k1_modinv64_divsteps_59(zeta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ secp256k1_modinv64_update_fg_62(&f, &g, &t);
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ }
+
+ /* At this point sufficient iterations have been performed that g must have reached 0
+ * and (if g was not originally 0) f must now equal +/- GCD of the initial f, g
+ * values i.e. +/- 1, and d now contains +/- the modular inverse. */
+#ifdef VERIFY
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, 5, &SECP256K1_SIGNED62_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, -1) == 0 ||
+ secp256k1_modinv64_mul_cmp_62(&f, 5, &SECP256K1_SIGNED62_ONE, 1) == 0 ||
+ (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ (secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, 1) == 0 ||
+ secp256k1_modinv64_mul_cmp_62(&f, 5, &modinfo->modulus, -1) == 0)));
+#endif
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv64_normalize_62(&d, f.v[4], modinfo);
+ *x = d;
+}
+
+/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */
+static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) {
+ /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */
+ secp256k1_modinv64_signed62 d = {{0, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 e = {{1, 0, 0, 0, 0}};
+ secp256k1_modinv64_signed62 f = modinfo->modulus;
+ secp256k1_modinv64_signed62 g = *x;
+#ifdef VERIFY
+ int i = 0;
+#endif
+ int j, len = 5;
+ int64_t eta = -1; /* eta = -delta; delta is initially 1 */
+ int64_t cond, fn, gn;
+
+ /* Do iterations of 62 divsteps each until g=0. */
+ while (1) {
+ /* Compute transition matrix and new eta after 62 divsteps. */
+ secp256k1_modinv64_trans2x2 t;
+ eta = secp256k1_modinv64_divsteps_62_var(eta, f.v[0], g.v[0], &t);
+ /* Update d,e using that transition matrix. */
+ secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo);
+ /* Update f,g using that transition matrix. */
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t);
+ /* If the bottom limb of g is zero, there is a chance that g=0. */
+ if (g.v[0] == 0) {
+ cond = 0;
+ /* Check if the other limbs are also 0. */
+ for (j = 1; j < len; ++j) {
+ cond |= g.v[j];
+ }
+ /* If so, we're done. */
+ if (cond == 0) break;
+ }
+
+ /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */
+ fn = f.v[len - 1];
+ gn = g.v[len - 1];
+ cond = ((int64_t)len - 2) >> 63;
+ cond |= fn ^ (fn >> 63);
+ cond |= gn ^ (gn >> 63);
+ /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */
+ if (cond == 0) {
+ f.v[len - 2] |= (uint64_t)fn << 62;
+ g.v[len - 2] |= (uint64_t)gn << 62;
+ --len;
+ }
+#ifdef VERIFY
+ VERIFY_CHECK(++i < 12); /* We should never need more than 12*62 = 744 divsteps */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */
+#endif
+ }
+
+ /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of
+ * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */
+#ifdef VERIFY
+ /* g == 0 */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &SECP256K1_SIGNED62_ONE, 0) == 0);
+ /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */
+ VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, -1) == 0 ||
+ secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, 1) == 0 ||
+ (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 &&
+ (secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) == 0 ||
+ secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) == 0)));
+#endif
+
+ /* Optionally negate d, normalize to [0,modulus), and return it. */
+ secp256k1_modinv64_normalize_62(&d, f.v[len - 1], modinfo);
+ *x = d;
+}
+
+#endif /* SECP256K1_MODINV64_IMPL_H */
diff --git a/src/secp256k1/src/modules/ecdh/Makefile.am.include b/src/secp256k1/src/modules/ecdh/Makefile.am.include
index e3088b4697..7f7f95f1fd 100644
--- a/src/secp256k1/src/modules/ecdh/Makefile.am.include
+++ b/src/secp256k1/src/modules/ecdh/Makefile.am.include
@@ -1,8 +1,4 @@
include_HEADERS += include/secp256k1_ecdh.h
noinst_HEADERS += src/modules/ecdh/main_impl.h
noinst_HEADERS += src/modules/ecdh/tests_impl.h
-if USE_BENCHMARK
-noinst_PROGRAMS += bench_ecdh
-bench_ecdh_SOURCES = src/bench_ecdh.c
-bench_ecdh_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB)
-endif
+noinst_HEADERS += src/modules/ecdh/bench_impl.h
diff --git a/src/secp256k1/src/bench_ecdh.c b/src/secp256k1/src/modules/ecdh/bench_impl.h
index f099d33884..94d833462f 100644
--- a/src/secp256k1/src/bench_ecdh.c
+++ b/src/secp256k1/src/modules/ecdh/bench_impl.h
@@ -1,15 +1,13 @@
-/**********************************************************************
- * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#include <string.h>
+#ifndef SECP256K1_MODULE_ECDH_BENCH_H
+#define SECP256K1_MODULE_ECDH_BENCH_H
-#include "include/secp256k1.h"
-#include "include/secp256k1_ecdh.h"
-#include "util.h"
-#include "bench.h"
+#include "../include/secp256k1_ecdh.h"
typedef struct {
secp256k1_context *ctx;
@@ -44,16 +42,16 @@ static void bench_ecdh(void* arg, int iters) {
}
}
-int main(void) {
+void run_ecdh_bench(int iters, int argc, char** argv) {
bench_ecdh_data data;
-
- int iters = get_iters(20000);
+ int d = argc == 1;
/* create a context with no capabilities */
data.ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT);
- run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "ecdh")) run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, iters);
secp256k1_context_destroy(data.ctx);
- return 0;
}
+
+#endif /* SECP256K1_MODULE_ECDH_BENCH_H */
diff --git a/src/secp256k1/src/modules/ecdh/main_impl.h b/src/secp256k1/src/modules/ecdh/main_impl.h
index 07a25b80d4..5408c9de70 100644
--- a/src/secp256k1/src/modules/ecdh/main_impl.h
+++ b/src/secp256k1/src/modules/ecdh/main_impl.h
@@ -1,14 +1,14 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_MODULE_ECDH_MAIN_H
#define SECP256K1_MODULE_ECDH_MAIN_H
-#include "include/secp256k1_ecdh.h"
-#include "ecmult_const_impl.h"
+#include "../../../include/secp256k1_ecdh.h"
+#include "../../ecmult_const_impl.h"
static int ecdh_hash_function_sha256(unsigned char *output, const unsigned char *x32, const unsigned char *y32, void *data) {
unsigned char version = (y32[31] & 0x01) | 0x02;
diff --git a/src/secp256k1/src/modules/ecdh/tests_impl.h b/src/secp256k1/src/modules/ecdh/tests_impl.h
index e8d2aeab9a..be07447a4b 100644
--- a/src/secp256k1/src/modules/ecdh/tests_impl.h
+++ b/src/secp256k1/src/modules/ecdh/tests_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_MODULE_ECDH_TESTS_H
#define SECP256K1_MODULE_ECDH_TESTS_H
diff --git a/src/secp256k1/src/modules/extrakeys/main_impl.h b/src/secp256k1/src/modules/extrakeys/main_impl.h
index 5378d2f301..e1003052f4 100644
--- a/src/secp256k1/src/modules/extrakeys/main_impl.h
+++ b/src/secp256k1/src/modules/extrakeys/main_impl.h
@@ -1,14 +1,14 @@
-/**********************************************************************
- * Copyright (c) 2020 Jonas Nick *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2020 Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_EXTRAKEYS_MAIN_
-#define _SECP256K1_MODULE_EXTRAKEYS_MAIN_
+#ifndef SECP256K1_MODULE_EXTRAKEYS_MAIN_H
+#define SECP256K1_MODULE_EXTRAKEYS_MAIN_H
-#include "include/secp256k1.h"
-#include "include/secp256k1_extrakeys.h"
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_extrakeys.h"
static SECP256K1_INLINE int secp256k1_xonly_pubkey_load(const secp256k1_context* ctx, secp256k1_ge *ge, const secp256k1_xonly_pubkey *pubkey) {
return secp256k1_pubkey_load(ctx, ge, (const secp256k1_pubkey *) pubkey);
@@ -55,6 +55,32 @@ int secp256k1_xonly_pubkey_serialize(const secp256k1_context* ctx, unsigned char
return 1;
}
+int secp256k1_xonly_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_xonly_pubkey* pk0, const secp256k1_xonly_pubkey* pk1) {
+ unsigned char out[2][32];
+ const secp256k1_xonly_pubkey* pk[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ pk[0] = pk0; pk[1] = pk1;
+ for (i = 0; i < 2; i++) {
+ /* If the public key is NULL or invalid, xonly_pubkey_serialize will
+ * call the illegal_callback and return 0. In that case we will
+ * serialize the key as all zeros which is less than any valid public
+ * key. This results in consistent comparisons even if NULL or invalid
+ * pubkeys are involved and prevents edge cases such as sorting
+ * algorithms that use this function and do not terminate as a
+ * result. */
+ if (!secp256k1_xonly_pubkey_serialize(ctx, out[i], pk[i])) {
+ /* Note that xonly_pubkey_serialize should already set the output to
+ * zero in that case, but it's not guaranteed by the API, we can't
+ * test it and writing a VERIFY_CHECK is more complex than
+ * explicitly memsetting (again). */
+ memset(out[i], 0, sizeof(out[i]));
+ }
+ }
+ return secp256k1_memcmp_var(out[0], out[1], sizeof(out[1]));
+}
+
/** Keeps a group element as is if it has an even Y and otherwise negates it.
* y_parity is set to 0 in the former case and to 1 in the latter case.
* Requires that the coordinates of r are normalized. */
@@ -94,12 +120,11 @@ int secp256k1_xonly_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pub
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(output_pubkey != NULL);
memset(output_pubkey, 0, sizeof(*output_pubkey));
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(internal_pubkey != NULL);
ARG_CHECK(tweak32 != NULL);
if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey)
- || !secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &pk, tweak32)) {
+ || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) {
return 0;
}
secp256k1_pubkey_save(output_pubkey, &pk);
@@ -111,13 +136,12 @@ int secp256k1_xonly_pubkey_tweak_add_check(const secp256k1_context* ctx, const u
unsigned char pk_expected32[32];
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(internal_pubkey != NULL);
ARG_CHECK(tweaked_pubkey32 != NULL);
ARG_CHECK(tweak32 != NULL);
if (!secp256k1_xonly_pubkey_load(ctx, &pk, internal_pubkey)
- || !secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &pk, tweak32)) {
+ || !secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32)) {
return 0;
}
secp256k1_fe_normalize_var(&pk.x);
@@ -180,12 +204,22 @@ int secp256k1_keypair_create(const secp256k1_context* ctx, secp256k1_keypair *ke
ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &sk, &pk, seckey32);
secp256k1_keypair_save(keypair, &sk, &pk);
- memczero(keypair, sizeof(*keypair), !ret);
+ secp256k1_memczero(keypair, sizeof(*keypair), !ret);
secp256k1_scalar_clear(&sk);
return ret;
}
+int secp256k1_keypair_sec(const secp256k1_context* ctx, unsigned char *seckey, const secp256k1_keypair *keypair) {
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(seckey != NULL);
+ memset(seckey, 0, 32);
+ ARG_CHECK(keypair != NULL);
+
+ memcpy(seckey, &keypair->data[0], 32);
+ return 1;
+}
+
int secp256k1_keypair_pub(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_keypair *keypair) {
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(pubkey != NULL);
@@ -224,7 +258,6 @@ int secp256k1_keypair_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_ke
int ret;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(keypair != NULL);
ARG_CHECK(tweak32 != NULL);
@@ -237,7 +270,7 @@ int secp256k1_keypair_xonly_tweak_add(const secp256k1_context* ctx, secp256k1_ke
}
ret &= secp256k1_ec_seckey_tweak_add_helper(&sk, tweak32);
- ret &= secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &pk, tweak32);
+ ret &= secp256k1_ec_pubkey_tweak_add_helper(&pk, tweak32);
secp256k1_declassify(ctx, &ret, sizeof(ret));
if (ret) {
diff --git a/src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h b/src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h
index 0e29bc6b09..d4a2f5bdf4 100644
--- a/src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h
+++ b/src/secp256k1/src/modules/extrakeys/tests_exhaustive_impl.h
@@ -1,14 +1,14 @@
-/**********************************************************************
- * Copyright (c) 2020 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2020 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_
-#define _SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_
+#ifndef SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H
+#define SECP256K1_MODULE_EXTRAKEYS_TESTS_EXHAUSTIVE_H
#include "src/modules/extrakeys/main_impl.h"
-#include "include/secp256k1_extrakeys.h"
+#include "../../../include/secp256k1_extrakeys.h"
static void test_exhaustive_extrakeys(const secp256k1_context *ctx, const secp256k1_ge* group) {
secp256k1_keypair keypair[EXHAUSTIVE_TEST_ORDER - 1];
diff --git a/src/secp256k1/src/modules/extrakeys/tests_impl.h b/src/secp256k1/src/modules/extrakeys/tests_impl.h
index 5ee135849e..c8a99f4466 100644
--- a/src/secp256k1/src/modules/extrakeys/tests_impl.h
+++ b/src/secp256k1/src/modules/extrakeys/tests_impl.h
@@ -1,13 +1,13 @@
-/**********************************************************************
- * Copyright (c) 2020 Jonas Nick *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2020 Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_EXTRAKEYS_TESTS_
-#define _SECP256K1_MODULE_EXTRAKEYS_TESTS_
+#ifndef SECP256K1_MODULE_EXTRAKEYS_TESTS_H
+#define SECP256K1_MODULE_EXTRAKEYS_TESTS_H
-#include "secp256k1_extrakeys.h"
+#include "../../../include/secp256k1_extrakeys.h"
static secp256k1_context* api_test_context(int flags, int *ecount) {
secp256k1_context *ctx0 = secp256k1_context_create(flags);
@@ -137,6 +137,43 @@ void test_xonly_pubkey(void) {
secp256k1_context_destroy(verify);
}
+void test_xonly_pubkey_comparison(void) {
+ unsigned char pk1_ser[32] = {
+ 0x58, 0x84, 0xb3, 0xa2, 0x4b, 0x97, 0x37, 0x88, 0x92, 0x38, 0xa6, 0x26, 0x62, 0x52, 0x35, 0x11,
+ 0xd0, 0x9a, 0xa1, 0x1b, 0x80, 0x0b, 0x5e, 0x93, 0x80, 0x26, 0x11, 0xef, 0x67, 0x4b, 0xd9, 0x23
+ };
+ const unsigned char pk2_ser[32] = {
+ 0xde, 0x36, 0x0e, 0x87, 0x59, 0x8f, 0x3c, 0x01, 0x36, 0x2a, 0x2a, 0xb8, 0xc6, 0xf4, 0x5e, 0x4d,
+ 0xb2, 0xc2, 0xd5, 0x03, 0xa7, 0xf9, 0xf1, 0x4f, 0xa8, 0xfa, 0x95, 0xa8, 0xe9, 0x69, 0x76, 0x1c
+ };
+ secp256k1_xonly_pubkey pk1;
+ secp256k1_xonly_pubkey pk2;
+ int ecount = 0;
+ secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount);
+
+ CHECK(secp256k1_xonly_pubkey_parse(none, &pk1, pk1_ser) == 1);
+ CHECK(secp256k1_xonly_pubkey_parse(none, &pk2, pk2_ser) == 1);
+
+ CHECK(secp256k1_xonly_pubkey_cmp(none, NULL, &pk2) < 0);
+ CHECK(ecount == 1);
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, NULL) > 0);
+ CHECK(ecount == 2);
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk2) < 0);
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk2, &pk1) > 0);
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk1) == 0);
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk2, &pk2) == 0);
+ CHECK(ecount == 2);
+ memset(&pk1, 0, sizeof(pk1)); /* illegal pubkey */
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk2) < 0);
+ CHECK(ecount == 3);
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk1, &pk1) == 0);
+ CHECK(ecount == 5);
+ CHECK(secp256k1_xonly_pubkey_cmp(none, &pk2, &pk1) > 0);
+ CHECK(ecount == 6);
+
+ secp256k1_context_destroy(none);
+}
+
void test_xonly_pubkey_tweak(void) {
unsigned char zeros64[64] = { 0 };
unsigned char overflows[32];
@@ -160,19 +197,19 @@ void test_xonly_pubkey_tweak(void) {
CHECK(secp256k1_xonly_pubkey_from_pubkey(none, &internal_xonly_pk, &pk_parity, &internal_pk) == 1);
ecount = 0;
- CHECK(secp256k1_xonly_pubkey_tweak_add(none, &output_pk, &internal_xonly_pk, tweak) == 0);
- CHECK(ecount == 1);
- CHECK(secp256k1_xonly_pubkey_tweak_add(sign, &output_pk, &internal_xonly_pk, tweak) == 0);
- CHECK(ecount == 2);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(none, &output_pk, &internal_xonly_pk, tweak) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_xonly_pubkey_tweak_add(sign, &output_pk, &internal_xonly_pk, tweak) == 1);
+ CHECK(ecount == 0);
CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 1);
CHECK(secp256k1_xonly_pubkey_tweak_add(verify, NULL, &internal_xonly_pk, tweak) == 0);
- CHECK(ecount == 3);
+ CHECK(ecount == 1);
CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, NULL, tweak) == 0);
- CHECK(ecount == 4);
+ CHECK(ecount == 2);
/* NULL internal_xonly_pk zeroes the output_pk */
CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, NULL) == 0);
- CHECK(ecount == 5);
+ CHECK(ecount == 3);
/* NULL tweak zeroes the output_pk */
CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
@@ -237,20 +274,20 @@ void test_xonly_pubkey_tweak_check(void) {
CHECK(secp256k1_xonly_pubkey_tweak_add(verify, &output_pk, &internal_xonly_pk, tweak) == 1);
CHECK(secp256k1_xonly_pubkey_from_pubkey(verify, &output_xonly_pk, &pk_parity, &output_pk) == 1);
CHECK(secp256k1_xonly_pubkey_serialize(ctx, buf32, &output_xonly_pk) == 1);
- CHECK(secp256k1_xonly_pubkey_tweak_add_check(none, buf32, pk_parity, &internal_xonly_pk, tweak) == 0);
- CHECK(ecount == 1);
- CHECK(secp256k1_xonly_pubkey_tweak_add_check(sign, buf32, pk_parity, &internal_xonly_pk, tweak) == 0);
- CHECK(ecount == 2);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(none, buf32, pk_parity, &internal_xonly_pk, tweak) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_xonly_pubkey_tweak_add_check(sign, buf32, pk_parity, &internal_xonly_pk, tweak) == 1);
+ CHECK(ecount == 0);
CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, &internal_xonly_pk, tweak) == 1);
CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, NULL, pk_parity, &internal_xonly_pk, tweak) == 0);
- CHECK(ecount == 3);
+ CHECK(ecount == 1);
/* invalid pk_parity value */
CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, 2, &internal_xonly_pk, tweak) == 0);
- CHECK(ecount == 3);
+ CHECK(ecount == 1);
CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, NULL, tweak) == 0);
- CHECK(ecount == 4);
+ CHECK(ecount == 2);
CHECK(secp256k1_xonly_pubkey_tweak_add_check(verify, buf32, pk_parity, &internal_xonly_pk, NULL) == 0);
- CHECK(ecount == 5);
+ CHECK(ecount == 3);
memset(tweak, 1, sizeof(tweak));
CHECK(secp256k1_xonly_pubkey_from_pubkey(ctx, &internal_xonly_pk, NULL, &internal_pk) == 1);
@@ -269,7 +306,7 @@ void test_xonly_pubkey_tweak_check(void) {
CHECK(secp256k1_xonly_pubkey_tweak_add_check(ctx, output_pk32, pk_parity, &internal_xonly_pk, overflows) == 0);
CHECK(secp256k1_xonly_pubkey_tweak_add(ctx, &output_pk, &internal_xonly_pk, overflows) == 0);
CHECK(secp256k1_memcmp_var(&output_pk, zeros64, sizeof(output_pk)) == 0);
- CHECK(ecount == 5);
+ CHECK(ecount == 3);
secp256k1_context_destroy(none);
secp256k1_context_destroy(sign);
@@ -311,6 +348,7 @@ void test_xonly_pubkey_tweak_recursive(void) {
void test_keypair(void) {
unsigned char sk[32];
+ unsigned char sk_tmp[32];
unsigned char zeros96[96] = { 0 };
unsigned char overflows[32];
secp256k1_keypair keypair;
@@ -321,6 +359,9 @@ void test_keypair(void) {
secp256k1_context *none = api_test_context(SECP256K1_CONTEXT_NONE, &ecount);
secp256k1_context *sign = api_test_context(SECP256K1_CONTEXT_SIGN, &ecount);
secp256k1_context *verify = api_test_context(SECP256K1_CONTEXT_VERIFY, &ecount);
+ secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_no_precomp);
+ secp256k1_context_set_error_callback(sttc, counting_illegal_callback_fn, &ecount);
+ secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount);
CHECK(sizeof(zeros96) == sizeof(keypair));
memset(overflows, 0xFF, sizeof(overflows));
@@ -328,18 +369,22 @@ void test_keypair(void) {
/* Test keypair_create */
ecount = 0;
secp256k1_testrand256(sk);
- CHECK(secp256k1_keypair_create(none, &keypair, sk) == 0);
- CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0);
+ CHECK(secp256k1_keypair_create(none, &keypair, sk) == 1);
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_keypair_create(verify, &keypair, sk) == 1);
+ CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) != 0);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_keypair_create(sign, NULL, sk) == 0);
CHECK(ecount == 1);
- CHECK(secp256k1_keypair_create(verify, &keypair, sk) == 0);
+ CHECK(secp256k1_keypair_create(sign, &keypair, NULL) == 0);
CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0);
CHECK(ecount == 2);
CHECK(secp256k1_keypair_create(sign, &keypair, sk) == 1);
- CHECK(secp256k1_keypair_create(sign, NULL, sk) == 0);
- CHECK(ecount == 3);
- CHECK(secp256k1_keypair_create(sign, &keypair, NULL) == 0);
+ CHECK(ecount == 2);
+ CHECK(secp256k1_keypair_create(sttc, &keypair, sk) == 0);
CHECK(secp256k1_memcmp_var(zeros96, &keypair, sizeof(keypair)) == 0);
- CHECK(ecount == 4);
+ CHECK(ecount == 3);
/* Invalid secret key */
CHECK(secp256k1_keypair_create(sign, &keypair, zeros96) == 0);
@@ -396,9 +441,32 @@ void test_keypair(void) {
CHECK(secp256k1_memcmp_var(&xonly_pk, &xonly_pk_tmp, sizeof(pk)) == 0);
CHECK(pk_parity == pk_parity_tmp);
+ /* Test keypair_seckey */
+ ecount = 0;
+ secp256k1_testrand256(sk);
+ CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_sec(none, sk_tmp, &keypair) == 1);
+ CHECK(secp256k1_keypair_sec(none, NULL, &keypair) == 0);
+ CHECK(ecount == 1);
+ CHECK(secp256k1_keypair_sec(none, sk_tmp, NULL) == 0);
+ CHECK(ecount == 2);
+ CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0);
+
+ /* keypair returns the same seckey it got */
+ CHECK(secp256k1_keypair_create(sign, &keypair, sk) == 1);
+ CHECK(secp256k1_keypair_sec(none, sk_tmp, &keypair) == 1);
+ CHECK(secp256k1_memcmp_var(sk, sk_tmp, sizeof(sk_tmp)) == 0);
+
+
+ /* Using an invalid keypair is fine for keypair_seckey */
+ memset(&keypair, 0, sizeof(keypair));
+ CHECK(secp256k1_keypair_sec(none, sk_tmp, &keypair) == 1);
+ CHECK(secp256k1_memcmp_var(zeros96, sk_tmp, sizeof(sk_tmp)) == 0);
+
secp256k1_context_destroy(none);
secp256k1_context_destroy(sign);
secp256k1_context_destroy(verify);
+ secp256k1_context_destroy(sttc);
}
void test_keypair_add(void) {
@@ -419,15 +487,15 @@ void test_keypair_add(void) {
memset(overflows, 0xFF, 32);
CHECK(secp256k1_keypair_create(ctx, &keypair, sk) == 1);
- CHECK(secp256k1_keypair_xonly_tweak_add(none, &keypair, tweak) == 0);
- CHECK(ecount == 1);
- CHECK(secp256k1_keypair_xonly_tweak_add(sign, &keypair, tweak) == 0);
- CHECK(ecount == 2);
+ CHECK(secp256k1_keypair_xonly_tweak_add(none, &keypair, tweak) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_keypair_xonly_tweak_add(sign, &keypair, tweak) == 1);
+ CHECK(ecount == 0);
CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, tweak) == 1);
CHECK(secp256k1_keypair_xonly_tweak_add(verify, NULL, tweak) == 0);
- CHECK(ecount == 3);
+ CHECK(ecount == 1);
CHECK(secp256k1_keypair_xonly_tweak_add(verify, &keypair, NULL) == 0);
- CHECK(ecount == 4);
+ CHECK(ecount == 2);
/* This does not set the keypair to zeroes */
CHECK(secp256k1_memcmp_var(&keypair, zeros96, sizeof(keypair)) != 0);
@@ -484,6 +552,7 @@ void test_keypair_add(void) {
secp256k1_pubkey output_pk_xy;
secp256k1_pubkey output_pk_expected;
unsigned char pk32[32];
+ unsigned char sk32[32];
int pk_parity;
secp256k1_testrand256(tweak);
@@ -501,7 +570,8 @@ void test_keypair_add(void) {
CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0);
/* Check that the secret key in the keypair is tweaked correctly */
- CHECK(secp256k1_ec_pubkey_create(ctx, &output_pk_expected, &keypair.data[0]) == 1);
+ CHECK(secp256k1_keypair_sec(none, sk32, &keypair) == 1);
+ CHECK(secp256k1_ec_pubkey_create(ctx, &output_pk_expected, sk32) == 1);
CHECK(secp256k1_memcmp_var(&output_pk_xy, &output_pk_expected, sizeof(output_pk_xy)) == 0);
}
secp256k1_context_destroy(none);
@@ -515,6 +585,7 @@ void run_extrakeys_tests(void) {
test_xonly_pubkey_tweak();
test_xonly_pubkey_tweak_check();
test_xonly_pubkey_tweak_recursive();
+ test_xonly_pubkey_comparison();
/* keypair tests */
test_keypair();
diff --git a/src/secp256k1/src/modules/recovery/Makefile.am.include b/src/secp256k1/src/modules/recovery/Makefile.am.include
index e2d3f1248d..156ea690fa 100644
--- a/src/secp256k1/src/modules/recovery/Makefile.am.include
+++ b/src/secp256k1/src/modules/recovery/Makefile.am.include
@@ -2,8 +2,4 @@ include_HEADERS += include/secp256k1_recovery.h
noinst_HEADERS += src/modules/recovery/main_impl.h
noinst_HEADERS += src/modules/recovery/tests_impl.h
noinst_HEADERS += src/modules/recovery/tests_exhaustive_impl.h
-if USE_BENCHMARK
-noinst_PROGRAMS += bench_recover
-bench_recover_SOURCES = src/bench_recover.c
-bench_recover_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB)
-endif
+noinst_HEADERS += src/modules/recovery/bench_impl.h
diff --git a/src/secp256k1/src/bench_recover.c b/src/secp256k1/src/modules/recovery/bench_impl.h
index e952ed1215..4a9e886910 100644
--- a/src/secp256k1/src/bench_recover.c
+++ b/src/secp256k1/src/modules/recovery/bench_impl.h
@@ -1,13 +1,13 @@
-/**********************************************************************
- * Copyright (c) 2014-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#include "include/secp256k1.h"
-#include "include/secp256k1_recovery.h"
-#include "util.h"
-#include "bench.h"
+#ifndef SECP256K1_MODULE_RECOVERY_BENCH_H
+#define SECP256K1_MODULE_RECOVERY_BENCH_H
+
+#include "../include/secp256k1_recovery.h"
typedef struct {
secp256k1_context *ctx;
@@ -48,15 +48,15 @@ void bench_recover_setup(void* arg) {
}
}
-int main(void) {
+void run_recovery_bench(int iters, int argc, char** argv) {
bench_recover_data data;
-
- int iters = get_iters(20000);
+ int d = argc == 1;
data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
- run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, iters);
+ if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, iters);
secp256k1_context_destroy(data.ctx);
- return 0;
}
+
+#endif /* SECP256K1_MODULE_RECOVERY_BENCH_H */
diff --git a/src/secp256k1/src/modules/recovery/main_impl.h b/src/secp256k1/src/modules/recovery/main_impl.h
index e2576aa953..e7906eb62e 100644
--- a/src/secp256k1/src/modules/recovery/main_impl.h
+++ b/src/secp256k1/src/modules/recovery/main_impl.h
@@ -1,13 +1,13 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_MODULE_RECOVERY_MAIN_H
#define SECP256K1_MODULE_RECOVERY_MAIN_H
-#include "include/secp256k1_recovery.h"
+#include "../../../include/secp256k1_recovery.h"
static void secp256k1_ecdsa_recoverable_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, int* recid, const secp256k1_ecdsa_recoverable_signature* sig) {
(void)ctx;
@@ -40,7 +40,7 @@ int secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_context*
int ret = 1;
int overflow = 0;
- (void)ctx;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(input64 != NULL);
ARG_CHECK(recid >= 0 && recid <= 3);
@@ -60,7 +60,7 @@ int secp256k1_ecdsa_recoverable_signature_parse_compact(const secp256k1_context*
int secp256k1_ecdsa_recoverable_signature_serialize_compact(const secp256k1_context* ctx, unsigned char *output64, int *recid, const secp256k1_ecdsa_recoverable_signature* sig) {
secp256k1_scalar r, s;
- (void)ctx;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(output64 != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(recid != NULL);
@@ -75,7 +75,7 @@ int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx,
secp256k1_scalar r, s;
int recid;
- (void)ctx;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(sigin != NULL);
@@ -84,7 +84,7 @@ int secp256k1_ecdsa_recoverable_signature_convert(const secp256k1_context* ctx,
return 1;
}
-static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) {
+static int secp256k1_ecdsa_sig_recover(const secp256k1_scalar *sigr, const secp256k1_scalar* sigs, secp256k1_ge *pubkey, const secp256k1_scalar *message, int recid) {
unsigned char brx[32];
secp256k1_fe fx;
secp256k1_ge x;
@@ -115,40 +115,39 @@ static int secp256k1_ecdsa_sig_recover(const secp256k1_ecmult_context *ctx, cons
secp256k1_scalar_mul(&u1, &rn, message);
secp256k1_scalar_negate(&u1, &u1);
secp256k1_scalar_mul(&u2, &rn, sigs);
- secp256k1_ecmult(ctx, &qj, &xj, &u2, &u1);
+ secp256k1_ecmult(&qj, &xj, &u2, &u1);
secp256k1_ge_set_gej_var(pubkey, &qj);
return !secp256k1_gej_is_infinity(&qj);
}
-int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
+int secp256k1_ecdsa_sign_recoverable(const secp256k1_context* ctx, secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
secp256k1_scalar r, s;
int ret, recid;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msghash32 != NULL);
ARG_CHECK(signature != NULL);
ARG_CHECK(seckey != NULL);
- ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, &recid, msg32, seckey, noncefp, noncedata);
+ ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, &recid, msghash32, seckey, noncefp, noncedata);
secp256k1_ecdsa_recoverable_signature_save(signature, &r, &s, recid);
return ret;
}
-int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msg32) {
+int secp256k1_ecdsa_recover(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const secp256k1_ecdsa_recoverable_signature *signature, const unsigned char *msghash32) {
secp256k1_ge q;
secp256k1_scalar r, s;
secp256k1_scalar m;
int recid;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msghash32 != NULL);
ARG_CHECK(signature != NULL);
ARG_CHECK(pubkey != NULL);
secp256k1_ecdsa_recoverable_signature_load(ctx, &r, &s, &recid, signature);
VERIFY_CHECK(recid >= 0 && recid < 4); /* should have been caught in parse_compact */
- secp256k1_scalar_set_b32(&m, msg32, NULL);
- if (secp256k1_ecdsa_sig_recover(&ctx->ecmult_ctx, &r, &s, &q, &m, recid)) {
+ secp256k1_scalar_set_b32(&m, msghash32, NULL);
+ if (secp256k1_ecdsa_sig_recover(&r, &s, &q, &m, recid)) {
secp256k1_pubkey_save(pubkey, &q);
return 1;
} else {
diff --git a/src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h b/src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h
index a2f381d77a..590a972ed3 100644
--- a/src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h
+++ b/src/secp256k1/src/modules/recovery/tests_exhaustive_impl.h
@@ -1,14 +1,14 @@
-/**********************************************************************
- * Copyright (c) 2016 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2016 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H
#define SECP256K1_MODULE_RECOVERY_EXHAUSTIVE_TESTS_H
#include "src/modules/recovery/main_impl.h"
-#include "include/secp256k1_recovery.h"
+#include "../../../include/secp256k1_recovery.h"
void test_exhaustive_recovery_sign(const secp256k1_context *ctx, const secp256k1_ge *group) {
int i, j, k;
diff --git a/src/secp256k1/src/modules/recovery/tests_impl.h b/src/secp256k1/src/modules/recovery/tests_impl.h
index 09cae38403..abf62f7f3a 100644
--- a/src/secp256k1/src/modules/recovery/tests_impl.h
+++ b/src/secp256k1/src/modules/recovery/tests_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_MODULE_RECOVERY_TESTS_H
#define SECP256K1_MODULE_RECOVERY_TESTS_H
@@ -34,6 +34,7 @@ void test_ecdsa_recovery_api(void) {
secp256k1_context *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
secp256k1_context *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
secp256k1_context *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+ secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_no_precomp);
secp256k1_pubkey pubkey;
secp256k1_pubkey recpubkey;
secp256k1_ecdsa_signature normal_sig;
@@ -53,10 +54,12 @@ void test_ecdsa_recovery_api(void) {
secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_error_callback(vrfy, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_error_callback(both, counting_illegal_callback_fn, &ecount);
+ secp256k1_context_set_error_callback(sttc, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(both, counting_illegal_callback_fn, &ecount);
+ secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount);
/* Construct and verify corresponding public key. */
CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1);
@@ -64,48 +67,50 @@ void test_ecdsa_recovery_api(void) {
/* Check bad contexts and NULLs for signing */
ecount = 0;
- CHECK(secp256k1_ecdsa_sign_recoverable(none, &recsig, message, privkey, NULL, NULL) == 0);
- CHECK(ecount == 1);
+ CHECK(secp256k1_ecdsa_sign_recoverable(none, &recsig, message, privkey, NULL, NULL) == 1);
+ CHECK(ecount == 0);
CHECK(secp256k1_ecdsa_sign_recoverable(sign, &recsig, message, privkey, NULL, NULL) == 1);
- CHECK(ecount == 1);
- CHECK(secp256k1_ecdsa_sign_recoverable(vrfy, &recsig, message, privkey, NULL, NULL) == 0);
- CHECK(ecount == 2);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_ecdsa_sign_recoverable(vrfy, &recsig, message, privkey, NULL, NULL) == 1);
+ CHECK(ecount == 0);
CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1);
- CHECK(ecount == 2);
+ CHECK(ecount == 0);
CHECK(secp256k1_ecdsa_sign_recoverable(both, NULL, message, privkey, NULL, NULL) == 0);
- CHECK(ecount == 3);
+ CHECK(ecount == 1);
CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, NULL, privkey, NULL, NULL) == 0);
- CHECK(ecount == 4);
+ CHECK(ecount == 2);
CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, NULL, NULL, NULL) == 0);
- CHECK(ecount == 5);
+ CHECK(ecount == 3);
+ CHECK(secp256k1_ecdsa_sign_recoverable(sttc, &recsig, message, privkey, NULL, NULL) == 0);
+ CHECK(ecount == 4);
/* This will fail or succeed randomly, and in either case will not ARG_CHECK failure */
secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, recovery_test_nonce_function, NULL);
- CHECK(ecount == 5);
+ CHECK(ecount == 4);
/* These will all fail, but not in ARG_CHECK way */
CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, zero_privkey, NULL, NULL) == 0);
CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, over_privkey, NULL, NULL) == 0);
/* This one will succeed. */
CHECK(secp256k1_ecdsa_sign_recoverable(both, &recsig, message, privkey, NULL, NULL) == 1);
- CHECK(ecount == 5);
+ CHECK(ecount == 4);
/* Check signing with a goofy nonce function */
/* Check bad contexts and NULLs for recovery */
ecount = 0;
- CHECK(secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 0);
- CHECK(ecount == 1);
- CHECK(secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 0);
- CHECK(ecount == 2);
+ CHECK(secp256k1_ecdsa_recover(none, &recpubkey, &recsig, message) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_ecdsa_recover(sign, &recpubkey, &recsig, message) == 1);
+ CHECK(ecount == 0);
CHECK(secp256k1_ecdsa_recover(vrfy, &recpubkey, &recsig, message) == 1);
- CHECK(ecount == 2);
+ CHECK(ecount == 0);
CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, message) == 1);
- CHECK(ecount == 2);
+ CHECK(ecount == 0);
CHECK(secp256k1_ecdsa_recover(both, NULL, &recsig, message) == 0);
- CHECK(ecount == 3);
+ CHECK(ecount == 1);
CHECK(secp256k1_ecdsa_recover(both, &recpubkey, NULL, message) == 0);
- CHECK(ecount == 4);
+ CHECK(ecount == 2);
CHECK(secp256k1_ecdsa_recover(both, &recpubkey, &recsig, NULL) == 0);
- CHECK(ecount == 5);
+ CHECK(ecount == 3);
/* Check NULLs for conversion */
CHECK(secp256k1_ecdsa_sign(both, &normal_sig, message, privkey, NULL, NULL) == 1);
@@ -145,6 +150,7 @@ void test_ecdsa_recovery_api(void) {
secp256k1_context_destroy(sign);
secp256k1_context_destroy(vrfy);
secp256k1_context_destroy(both);
+ secp256k1_context_destroy(sttc);
}
void test_ecdsa_recovery_end_to_end(void) {
diff --git a/src/secp256k1/src/modules/schnorrsig/Makefile.am.include b/src/secp256k1/src/modules/schnorrsig/Makefile.am.include
index 568bcc3523..654fa2e5ae 100644
--- a/src/secp256k1/src/modules/schnorrsig/Makefile.am.include
+++ b/src/secp256k1/src/modules/schnorrsig/Makefile.am.include
@@ -2,8 +2,4 @@ include_HEADERS += include/secp256k1_schnorrsig.h
noinst_HEADERS += src/modules/schnorrsig/main_impl.h
noinst_HEADERS += src/modules/schnorrsig/tests_impl.h
noinst_HEADERS += src/modules/schnorrsig/tests_exhaustive_impl.h
-if USE_BENCHMARK
-noinst_PROGRAMS += bench_schnorrsig
-bench_schnorrsig_SOURCES = src/bench_schnorrsig.c
-bench_schnorrsig_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB)
-endif
+noinst_HEADERS += src/modules/schnorrsig/bench_impl.h
diff --git a/src/secp256k1/src/bench_schnorrsig.c b/src/secp256k1/src/modules/schnorrsig/bench_impl.h
index 315f5af28e..41f393c84d 100644
--- a/src/secp256k1/src/bench_schnorrsig.c
+++ b/src/secp256k1/src/modules/schnorrsig/bench_impl.h
@@ -1,17 +1,15 @@
-/**********************************************************************
- * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#include <string.h>
-#include <stdlib.h>
+#ifndef SECP256K1_MODULE_SCHNORRSIG_BENCH_H
+#define SECP256K1_MODULE_SCHNORRSIG_BENCH_H
+#include "../../../include/secp256k1_schnorrsig.h"
-#include "include/secp256k1.h"
-#include "include/secp256k1_schnorrsig.h"
-#include "util.h"
-#include "bench.h"
+#define MSGLEN 32
typedef struct {
secp256k1_context *ctx;
@@ -26,13 +24,13 @@ typedef struct {
void bench_schnorrsig_sign(void* arg, int iters) {
bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg;
int i;
- unsigned char msg[32] = "benchmarkexamplemessagetemplate";
+ unsigned char msg[MSGLEN] = {0};
unsigned char sig[64];
for (i = 0; i < iters; i++) {
msg[0] = i;
msg[1] = i >> 8;
- CHECK(secp256k1_schnorrsig_sign(data->ctx, sig, msg, data->keypairs[i], NULL, NULL));
+ CHECK(secp256k1_schnorrsig_sign_custom(data->ctx, sig, msg, MSGLEN, data->keypairs[i], NULL));
}
}
@@ -43,14 +41,14 @@ void bench_schnorrsig_verify(void* arg, int iters) {
for (i = 0; i < iters; i++) {
secp256k1_xonly_pubkey pk;
CHECK(secp256k1_xonly_pubkey_parse(data->ctx, &pk, data->pk[i]) == 1);
- CHECK(secp256k1_schnorrsig_verify(data->ctx, data->sigs[i], data->msgs[i], &pk));
+ CHECK(secp256k1_schnorrsig_verify(data->ctx, data->sigs[i], data->msgs[i], MSGLEN, &pk));
}
}
-int main(void) {
+void run_schnorrsig_bench(int iters, int argc, char** argv) {
int i;
bench_schnorrsig_data data;
- int iters = get_iters(10000);
+ int d = argc == 1;
data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY | SECP256K1_CONTEXT_SIGN);
data.keypairs = (const secp256k1_keypair **)malloc(iters * sizeof(secp256k1_keypair *));
@@ -58,9 +56,10 @@ int main(void) {
data.msgs = (const unsigned char **)malloc(iters * sizeof(unsigned char *));
data.sigs = (const unsigned char **)malloc(iters * sizeof(unsigned char *));
+ CHECK(MSGLEN >= 4);
for (i = 0; i < iters; i++) {
unsigned char sk[32];
- unsigned char *msg = (unsigned char *)malloc(32);
+ unsigned char *msg = (unsigned char *)malloc(MSGLEN);
unsigned char *sig = (unsigned char *)malloc(64);
secp256k1_keypair *keypair = (secp256k1_keypair *)malloc(sizeof(*keypair));
unsigned char *pk_char = (unsigned char *)malloc(32);
@@ -69,7 +68,7 @@ int main(void) {
msg[1] = sk[1] = i >> 8;
msg[2] = sk[2] = i >> 16;
msg[3] = sk[3] = i >> 24;
- memset(&msg[4], 'm', 28);
+ memset(&msg[4], 'm', MSGLEN - 4);
memset(&sk[4], 's', 28);
data.keypairs[i] = keypair;
@@ -78,13 +77,13 @@ int main(void) {
data.sigs[i] = sig;
CHECK(secp256k1_keypair_create(data.ctx, keypair, sk));
- CHECK(secp256k1_schnorrsig_sign(data.ctx, sig, msg, keypair, NULL, NULL));
+ CHECK(secp256k1_schnorrsig_sign_custom(data.ctx, sig, msg, MSGLEN, keypair, NULL));
CHECK(secp256k1_keypair_xonly_pub(data.ctx, &pk, NULL, keypair));
CHECK(secp256k1_xonly_pubkey_serialize(data.ctx, pk_char, &pk) == 1);
}
- run_benchmark("schnorrsig_sign", bench_schnorrsig_sign, NULL, NULL, (void *) &data, 10, iters);
- run_benchmark("schnorrsig_verify", bench_schnorrsig_verify, NULL, NULL, (void *) &data, 10, iters);
+ if (d || have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "schnorrsig_sign")) run_benchmark("schnorrsig_sign", bench_schnorrsig_sign, NULL, NULL, (void *) &data, 10, iters);
+ if (d || have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "schnorrsig_verify")) run_benchmark("schnorrsig_verify", bench_schnorrsig_verify, NULL, NULL, (void *) &data, 10, iters);
for (i = 0; i < iters; i++) {
free((void *)data.keypairs[i]);
@@ -98,5 +97,6 @@ int main(void) {
free(data.sigs);
secp256k1_context_destroy(data.ctx);
- return 0;
}
+
+#endif
diff --git a/src/secp256k1/src/modules/schnorrsig/main_impl.h b/src/secp256k1/src/modules/schnorrsig/main_impl.h
index b0d8481f9b..94e3ee414d 100644
--- a/src/secp256k1/src/modules/schnorrsig/main_impl.h
+++ b/src/secp256k1/src/modules/schnorrsig/main_impl.h
@@ -1,15 +1,15 @@
-/**********************************************************************
- * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_SCHNORRSIG_MAIN_
-#define _SECP256K1_MODULE_SCHNORRSIG_MAIN_
+#ifndef SECP256K1_MODULE_SCHNORRSIG_MAIN_H
+#define SECP256K1_MODULE_SCHNORRSIG_MAIN_H
-#include "include/secp256k1.h"
-#include "include/secp256k1_schnorrsig.h"
-#include "hash.h"
+#include "../../../include/secp256k1.h"
+#include "../../../include/secp256k1_schnorrsig.h"
+#include "../../hash.h"
/* Initializes SHA256 with fixed midstate. This midstate was computed by applying
* SHA256 to SHA256("BIP0340/nonce")||SHA256("BIP0340/nonce"). */
@@ -43,16 +43,18 @@ static void secp256k1_nonce_function_bip340_sha256_tagged_aux(secp256k1_sha256 *
sha->bytes = 64;
}
-/* algo16 argument for nonce_function_bip340 to derive the nonce exactly as stated in BIP-340
+/* algo argument for nonce_function_bip340 to derive the nonce exactly as stated in BIP-340
* by using the correct tagged hash function. */
-static const unsigned char bip340_algo16[16] = "BIP0340/nonce\0\0\0";
+static const unsigned char bip340_algo[13] = "BIP0340/nonce";
-static int nonce_function_bip340(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo16, void *data) {
+static const unsigned char schnorrsig_extraparams_magic[4] = SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC;
+
+static int nonce_function_bip340(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
secp256k1_sha256 sha;
unsigned char masked_key[32];
int i;
- if (algo16 == NULL) {
+ if (algo == NULL) {
return 0;
}
@@ -63,30 +65,33 @@ static int nonce_function_bip340(unsigned char *nonce32, const unsigned char *ms
for (i = 0; i < 32; i++) {
masked_key[i] ^= key32[i];
}
+ } else {
+ /* Precomputed TaggedHash("BIP0340/aux", 0x0000...00); */
+ static const unsigned char ZERO_MASK[32] = {
+ 84, 241, 105, 207, 201, 226, 229, 114,
+ 116, 128, 68, 31, 144, 186, 37, 196,
+ 136, 244, 97, 199, 11, 94, 165, 220,
+ 170, 247, 175, 105, 39, 10, 165, 20
+ };
+ for (i = 0; i < 32; i++) {
+ masked_key[i] = key32[i] ^ ZERO_MASK[i];
+ }
}
- /* Tag the hash with algo16 which is important to avoid nonce reuse across
+ /* Tag the hash with algo which is important to avoid nonce reuse across
* algorithms. If this nonce function is used in BIP-340 signing as defined
* in the spec, an optimized tagging implementation is used. */
- if (secp256k1_memcmp_var(algo16, bip340_algo16, 16) == 0) {
+ if (algolen == sizeof(bip340_algo)
+ && secp256k1_memcmp_var(algo, bip340_algo, algolen) == 0) {
secp256k1_nonce_function_bip340_sha256_tagged(&sha);
} else {
- int algo16_len = 16;
- /* Remove terminating null bytes */
- while (algo16_len > 0 && !algo16[algo16_len - 1]) {
- algo16_len--;
- }
- secp256k1_sha256_initialize_tagged(&sha, algo16, algo16_len);
+ secp256k1_sha256_initialize_tagged(&sha, algo, algolen);
}
- /* Hash (masked-)key||pk||msg using the tagged hash as per the spec */
- if (data != NULL) {
- secp256k1_sha256_write(&sha, masked_key, 32);
- } else {
- secp256k1_sha256_write(&sha, key32, 32);
- }
+ /* Hash masked-key||pk||msg using the tagged hash as per the spec */
+ secp256k1_sha256_write(&sha, masked_key, 32);
secp256k1_sha256_write(&sha, xonly_pk32, 32);
- secp256k1_sha256_write(&sha, msg32, 32);
+ secp256k1_sha256_write(&sha, msg, msglen);
secp256k1_sha256_finalize(&sha, nonce32);
return 1;
}
@@ -108,23 +113,23 @@ static void secp256k1_schnorrsig_sha256_tagged(secp256k1_sha256 *sha) {
sha->bytes = 64;
}
-static void secp256k1_schnorrsig_challenge(secp256k1_scalar* e, const unsigned char *r32, const unsigned char *msg32, const unsigned char *pubkey32)
+static void secp256k1_schnorrsig_challenge(secp256k1_scalar* e, const unsigned char *r32, const unsigned char *msg, size_t msglen, const unsigned char *pubkey32)
{
unsigned char buf[32];
secp256k1_sha256 sha;
- /* tagged hash(r.x, pk.x, msg32) */
+ /* tagged hash(r.x, pk.x, msg) */
secp256k1_schnorrsig_sha256_tagged(&sha);
secp256k1_sha256_write(&sha, r32, 32);
secp256k1_sha256_write(&sha, pubkey32, 32);
- secp256k1_sha256_write(&sha, msg32, 32);
+ secp256k1_sha256_write(&sha, msg, msglen);
secp256k1_sha256_finalize(&sha, buf);
/* Set scalar e to the challenge hash modulo the curve order as per
* BIP340. */
secp256k1_scalar_set_b32(e, buf, NULL);
}
-int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, secp256k1_nonce_function_hardened noncefp, void *ndata) {
+static int secp256k1_schnorrsig_sign_internal(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_keypair *keypair, secp256k1_nonce_function_hardened noncefp, void *ndata) {
secp256k1_scalar sk;
secp256k1_scalar e;
secp256k1_scalar k;
@@ -139,7 +144,7 @@ int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
ARG_CHECK(sig64 != NULL);
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msg != NULL || msglen == 0);
ARG_CHECK(keypair != NULL);
if (noncefp == NULL) {
@@ -156,7 +161,7 @@ int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64
secp256k1_scalar_get_b32(seckey, &sk);
secp256k1_fe_get_b32(pk_buf, &pk.x);
- ret &= !!noncefp(buf, msg32, seckey, pk_buf, bip340_algo16, ndata);
+ ret &= !!noncefp(buf, msg, msglen, seckey, pk_buf, bip340_algo, sizeof(bip340_algo), ndata);
secp256k1_scalar_set_b32(&k, buf, NULL);
ret &= !secp256k1_scalar_is_zero(&k);
secp256k1_scalar_cmov(&k, &secp256k1_scalar_one, !ret);
@@ -174,12 +179,12 @@ int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64
secp256k1_fe_normalize_var(&r.x);
secp256k1_fe_get_b32(&sig64[0], &r.x);
- secp256k1_schnorrsig_challenge(&e, &sig64[0], msg32, pk_buf);
+ secp256k1_schnorrsig_challenge(&e, &sig64[0], msg, msglen, pk_buf);
secp256k1_scalar_mul(&e, &e, &sk);
secp256k1_scalar_add(&e, &e, &k);
secp256k1_scalar_get_b32(&sig64[32], &e);
- memczero(sig64, 64, !ret);
+ secp256k1_memczero(sig64, 64, !ret);
secp256k1_scalar_clear(&k);
secp256k1_scalar_clear(&sk);
memset(seckey, 0, sizeof(seckey));
@@ -187,7 +192,27 @@ int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64
return ret;
}
-int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned char *sig64, const unsigned char *msg32, const secp256k1_xonly_pubkey *pubkey) {
+int secp256k1_schnorrsig_sign(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg32, const secp256k1_keypair *keypair, const unsigned char *aux_rand32) {
+ /* We cast away const from the passed aux_rand32 argument since we know the default nonce function does not modify it. */
+ return secp256k1_schnorrsig_sign_internal(ctx, sig64, msg32, 32, keypair, secp256k1_nonce_function_bip340, (unsigned char*)aux_rand32);
+}
+
+int secp256k1_schnorrsig_sign_custom(const secp256k1_context* ctx, unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_keypair *keypair, secp256k1_schnorrsig_extraparams *extraparams) {
+ secp256k1_nonce_function_hardened noncefp = NULL;
+ void *ndata = NULL;
+ VERIFY_CHECK(ctx != NULL);
+
+ if (extraparams != NULL) {
+ ARG_CHECK(secp256k1_memcmp_var(extraparams->magic,
+ schnorrsig_extraparams_magic,
+ sizeof(extraparams->magic)) == 0);
+ noncefp = extraparams->noncefp;
+ ndata = extraparams->ndata;
+ }
+ return secp256k1_schnorrsig_sign_internal(ctx, sig64, msg, msglen, keypair, noncefp, ndata);
+}
+
+int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_xonly_pubkey *pubkey) {
secp256k1_scalar s;
secp256k1_scalar e;
secp256k1_gej rj;
@@ -199,9 +224,8 @@ int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned cha
int overflow;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(sig64 != NULL);
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msg != NULL || msglen == 0);
ARG_CHECK(pubkey != NULL);
if (!secp256k1_fe_set_b32(&rx, &sig64[0])) {
@@ -219,12 +243,12 @@ int secp256k1_schnorrsig_verify(const secp256k1_context* ctx, const unsigned cha
/* Compute e. */
secp256k1_fe_get_b32(buf, &pk.x);
- secp256k1_schnorrsig_challenge(&e, &sig64[0], msg32, buf);
+ secp256k1_schnorrsig_challenge(&e, &sig64[0], msg, msglen, buf);
/* Compute rj = s*G + (-e)*pkj */
secp256k1_scalar_negate(&e, &e);
secp256k1_gej_set_ge(&pkj, &pk);
- secp256k1_ecmult(&ctx->ecmult_ctx, &rj, &pkj, &e, &s);
+ secp256k1_ecmult(&rj, &pkj, &e, &s);
secp256k1_ge_set_gej_var(&r, &rj);
if (secp256k1_ge_is_infinity(&r)) {
diff --git a/src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h b/src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h
index 4bf0bc1680..d8df9dd2df 100644
--- a/src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h
+++ b/src/secp256k1/src/modules/schnorrsig/tests_exhaustive_impl.h
@@ -1,13 +1,13 @@
-/**********************************************************************
- * Copyright (c) 2020 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2020 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_
-#define _SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_
+#ifndef SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_H
+#define SECP256K1_MODULE_SCHNORRSIG_TESTS_EXHAUSTIVE_H
-#include "include/secp256k1_schnorrsig.h"
+#include "../../../include/secp256k1_schnorrsig.h"
#include "src/modules/schnorrsig/main_impl.h"
static const unsigned char invalid_pubkey_bytes[][32] = {
@@ -58,15 +58,19 @@ static const unsigned char invalid_pubkey_bytes[][32] = {
#define NUM_INVALID_KEYS (sizeof(invalid_pubkey_bytes) / sizeof(invalid_pubkey_bytes[0]))
-static int secp256k1_hardened_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg32,
+static int secp256k1_hardened_nonce_function_smallint(unsigned char *nonce32, const unsigned char *msg,
+ size_t msglen,
const unsigned char *key32, const unsigned char *xonly_pk32,
- const unsigned char *algo16, void* data) {
+ const unsigned char *algo, size_t algolen,
+ void* data) {
secp256k1_scalar s;
int *idata = data;
- (void)msg32;
+ (void)msg;
+ (void)msglen;
(void)key32;
(void)xonly_pk32;
- (void)algo16;
+ (void)algo;
+ (void)algolen;
secp256k1_scalar_set_int(&s, *idata);
secp256k1_scalar_get_b32(nonce32, &s);
return 1;
@@ -101,7 +105,7 @@ static void test_exhaustive_schnorrsig_verify(const secp256k1_context *ctx, cons
secp256k1_scalar e;
unsigned char msg32[32];
secp256k1_testrand256(msg32);
- secp256k1_schnorrsig_challenge(&e, sig64, msg32, pk32);
+ secp256k1_schnorrsig_challenge(&e, sig64, msg32, sizeof(msg32), pk32);
/* Only do work if we hit a challenge we haven't tried before. */
if (!e_done[e]) {
/* Iterate over the possible valid last 32 bytes in the signature.
@@ -119,7 +123,7 @@ static void test_exhaustive_schnorrsig_verify(const secp256k1_context *ctx, cons
secp256k1_testrand256(sig64 + 32);
expect_valid = 0;
}
- valid = secp256k1_schnorrsig_verify(ctx, sig64, msg32, &pubkeys[d - 1]);
+ valid = secp256k1_schnorrsig_verify(ctx, sig64, msg32, sizeof(msg32), &pubkeys[d - 1]);
CHECK(valid == expect_valid);
count_valid += valid;
}
@@ -137,6 +141,8 @@ static void test_exhaustive_schnorrsig_verify(const secp256k1_context *ctx, cons
static void test_exhaustive_schnorrsig_sign(const secp256k1_context *ctx, unsigned char (*xonly_pubkey_bytes)[32], const secp256k1_keypair* keypairs, const int* parities) {
int d, k;
uint64_t iter = 0;
+ secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT;
+
/* Loop over keys. */
for (d = 1; d < EXHAUSTIVE_TEST_ORDER; ++d) {
int actual_d = d;
@@ -149,19 +155,21 @@ static void test_exhaustive_schnorrsig_sign(const secp256k1_context *ctx, unsign
unsigned char sig64[64];
int actual_k = k;
if (skip_section(&iter)) continue;
+ extraparams.noncefp = secp256k1_hardened_nonce_function_smallint;
+ extraparams.ndata = &k;
if (parities[k - 1]) actual_k = EXHAUSTIVE_TEST_ORDER - k;
/* Generate random messages until all challenges have been tried. */
while (e_count_done < EXHAUSTIVE_TEST_ORDER) {
secp256k1_scalar e;
secp256k1_testrand256(msg32);
- secp256k1_schnorrsig_challenge(&e, xonly_pubkey_bytes[k - 1], msg32, xonly_pubkey_bytes[d - 1]);
+ secp256k1_schnorrsig_challenge(&e, xonly_pubkey_bytes[k - 1], msg32, sizeof(msg32), xonly_pubkey_bytes[d - 1]);
/* Only do work if we hit a challenge we haven't tried before. */
if (!e_done[e]) {
secp256k1_scalar expected_s = (actual_k + e * actual_d) % EXHAUSTIVE_TEST_ORDER;
unsigned char expected_s_bytes[32];
secp256k1_scalar_get_b32(expected_s_bytes, &expected_s);
/* Invoke the real function to construct a signature. */
- CHECK(secp256k1_schnorrsig_sign(ctx, sig64, msg32, &keypairs[d - 1], secp256k1_hardened_nonce_function_smallint, &k));
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig64, msg32, sizeof(msg32), &keypairs[d - 1], &extraparams));
/* The first 32 bytes must match the xonly pubkey for the specified k. */
CHECK(secp256k1_memcmp_var(sig64, xonly_pubkey_bytes[k - 1], 32) == 0);
/* The last 32 bytes must match the expected s value. */
diff --git a/src/secp256k1/src/modules/schnorrsig/tests_impl.h b/src/secp256k1/src/modules/schnorrsig/tests_impl.h
index f522fcb320..2efec8a2b9 100644
--- a/src/secp256k1/src/modules/schnorrsig/tests_impl.h
+++ b/src/secp256k1/src/modules/schnorrsig/tests_impl.h
@@ -1,22 +1,22 @@
-/**********************************************************************
- * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_MODULE_SCHNORRSIG_TESTS_
-#define _SECP256K1_MODULE_SCHNORRSIG_TESTS_
+#ifndef SECP256K1_MODULE_SCHNORRSIG_TESTS_H
+#define SECP256K1_MODULE_SCHNORRSIG_TESTS_H
-#include "secp256k1_schnorrsig.h"
+#include "../../../include/secp256k1_schnorrsig.h"
/* Checks that a bit flip in the n_flip-th argument (that has n_bytes many
* bytes) changes the hash function
*/
-void nonce_function_bip340_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes) {
+void nonce_function_bip340_bitflip(unsigned char **args, size_t n_flip, size_t n_bytes, size_t msglen, size_t algolen) {
unsigned char nonces[2][32];
- CHECK(nonce_function_bip340(nonces[0], args[0], args[1], args[2], args[3], args[4]) == 1);
+ CHECK(nonce_function_bip340(nonces[0], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1);
secp256k1_testrand_flip(args[n_flip], n_bytes);
- CHECK(nonce_function_bip340(nonces[1], args[0], args[1], args[2], args[3], args[4]) == 1);
+ CHECK(nonce_function_bip340(nonces[1], args[0], msglen, args[1], args[2], args[3], algolen, args[4]) == 1);
CHECK(secp256k1_memcmp_var(nonces[0], nonces[1], 32) != 0);
}
@@ -34,11 +34,13 @@ void test_sha256_eq(const secp256k1_sha256 *sha1, const secp256k1_sha256 *sha2)
void run_nonce_function_bip340_tests(void) {
unsigned char tag[13] = "BIP0340/nonce";
unsigned char aux_tag[11] = "BIP0340/aux";
- unsigned char algo16[16] = "BIP0340/nonce\0\0\0";
+ unsigned char algo[13] = "BIP0340/nonce";
+ size_t algolen = sizeof(algo);
secp256k1_sha256 sha;
secp256k1_sha256 sha_optimized;
- unsigned char nonce[32];
+ unsigned char nonce[32], nonce_z[32];
unsigned char msg[32];
+ size_t msglen = sizeof(msg);
unsigned char key[32];
unsigned char pk[32];
unsigned char aux_rand[32];
@@ -68,33 +70,48 @@ void run_nonce_function_bip340_tests(void) {
args[0] = msg;
args[1] = key;
args[2] = pk;
- args[3] = algo16;
+ args[3] = algo;
args[4] = aux_rand;
for (i = 0; i < count; i++) {
- nonce_function_bip340_bitflip(args, 0, 32);
- nonce_function_bip340_bitflip(args, 1, 32);
- nonce_function_bip340_bitflip(args, 2, 32);
- /* Flip algo16 special case "BIP0340/nonce" */
- nonce_function_bip340_bitflip(args, 3, 16);
- /* Flip algo16 again */
- nonce_function_bip340_bitflip(args, 3, 16);
- nonce_function_bip340_bitflip(args, 4, 32);
+ nonce_function_bip340_bitflip(args, 0, 32, msglen, algolen);
+ nonce_function_bip340_bitflip(args, 1, 32, msglen, algolen);
+ nonce_function_bip340_bitflip(args, 2, 32, msglen, algolen);
+ /* Flip algo special case "BIP0340/nonce" */
+ nonce_function_bip340_bitflip(args, 3, algolen, msglen, algolen);
+ /* Flip algo again */
+ nonce_function_bip340_bitflip(args, 3, algolen, msglen, algolen);
+ nonce_function_bip340_bitflip(args, 4, 32, msglen, algolen);
}
- /* NULL algo16 is disallowed */
- CHECK(nonce_function_bip340(nonce, msg, key, pk, NULL, NULL) == 0);
- /* Empty algo16 is fine */
- memset(algo16, 0x00, 16);
- CHECK(nonce_function_bip340(nonce, msg, key, pk, algo16, NULL) == 1);
- /* algo16 with terminating null bytes is fine */
- algo16[1] = 65;
- CHECK(nonce_function_bip340(nonce, msg, key, pk, algo16, NULL) == 1);
- /* Other algo16 is fine */
- memset(algo16, 0xFF, 16);
- CHECK(nonce_function_bip340(nonce, msg, key, pk, algo16, NULL) == 1);
-
- /* NULL aux_rand argument is allowed. */
- CHECK(nonce_function_bip340(nonce, msg, key, pk, algo16, NULL) == 1);
+ /* NULL algo is disallowed */
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, NULL, 0, NULL) == 0);
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1);
+ /* Other algo is fine */
+ secp256k1_rfc6979_hmac_sha256_generate(&secp256k1_test_rng, algo, algolen);
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1);
+
+ for (i = 0; i < count; i++) {
+ unsigned char nonce2[32];
+ uint32_t offset = secp256k1_testrand_int(msglen - 1);
+ size_t msglen_tmp = (msglen + offset) % msglen;
+ size_t algolen_tmp;
+
+ /* Different msglen gives different nonce */
+ CHECK(nonce_function_bip340(nonce2, msg, msglen_tmp, key, pk, algo, algolen, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0);
+
+ /* Different algolen gives different nonce */
+ offset = secp256k1_testrand_int(algolen - 1);
+ algolen_tmp = (algolen + offset) % algolen;
+ CHECK(nonce_function_bip340(nonce2, msg, msglen, key, pk, algo, algolen_tmp, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(nonce, nonce2, 32) != 0);
+ }
+
+ /* NULL aux_rand argument is allowed, and identical to passing all zero aux_rand. */
+ memset(aux_rand, 0, 32);
+ CHECK(nonce_function_bip340(nonce_z, msg, msglen, key, pk, algo, algolen, &aux_rand) == 1);
+ CHECK(nonce_function_bip340(nonce, msg, msglen, key, pk, algo, algolen, NULL) == 1);
+ CHECK(secp256k1_memcmp_var(nonce_z, nonce, 32) == 0);
}
void test_schnorrsig_api(void) {
@@ -103,26 +120,31 @@ void test_schnorrsig_api(void) {
unsigned char sk3[32];
unsigned char msg[32];
secp256k1_keypair keypairs[3];
- secp256k1_keypair invalid_keypair = { 0 };
+ secp256k1_keypair invalid_keypair = {{ 0 }};
secp256k1_xonly_pubkey pk[3];
secp256k1_xonly_pubkey zero_pk;
unsigned char sig[64];
+ secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT;
+ secp256k1_schnorrsig_extraparams invalid_extraparams = {{ 0 }, NULL, NULL};
/** setup **/
secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
secp256k1_context *sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
secp256k1_context *vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
secp256k1_context *both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+ secp256k1_context *sttc = secp256k1_context_clone(secp256k1_context_no_precomp);
int ecount;
secp256k1_context_set_error_callback(none, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_error_callback(sign, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_error_callback(vrfy, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_error_callback(both, counting_illegal_callback_fn, &ecount);
+ secp256k1_context_set_error_callback(sttc, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(both, counting_illegal_callback_fn, &ecount);
+ secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount);
secp256k1_testrand256(sk1);
secp256k1_testrand256(sk2);
@@ -138,48 +160,77 @@ void test_schnorrsig_api(void) {
/** main test body **/
ecount = 0;
- CHECK(secp256k1_schnorrsig_sign(none, sig, msg, &keypairs[0], NULL, NULL) == 0);
+ CHECK(secp256k1_schnorrsig_sign(none, sig, msg, &keypairs[0], NULL) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_sign(vrfy, sig, msg, &keypairs[0], NULL) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, &keypairs[0], NULL) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_sign(sign, NULL, msg, &keypairs[0], NULL) == 0);
CHECK(ecount == 1);
- CHECK(secp256k1_schnorrsig_sign(vrfy, sig, msg, &keypairs[0], NULL, NULL) == 0);
- CHECK(ecount == 2);
- CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, &keypairs[0], NULL, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_sign(sign, sig, NULL, &keypairs[0], NULL) == 0);
CHECK(ecount == 2);
- CHECK(secp256k1_schnorrsig_sign(sign, NULL, msg, &keypairs[0], NULL, NULL) == 0);
+ CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, NULL, NULL) == 0);
CHECK(ecount == 3);
- CHECK(secp256k1_schnorrsig_sign(sign, sig, NULL, &keypairs[0], NULL, NULL) == 0);
+ CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, &invalid_keypair, NULL) == 0);
CHECK(ecount == 4);
- CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, NULL, NULL, NULL) == 0);
+ CHECK(secp256k1_schnorrsig_sign(sttc, sig, msg, &keypairs[0], NULL) == 0);
CHECK(ecount == 5);
- CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, &invalid_keypair, NULL, NULL) == 0);
- CHECK(ecount == 6);
ecount = 0;
- CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, &keypairs[0], NULL, NULL) == 1);
- CHECK(secp256k1_schnorrsig_verify(none, sig, msg, &pk[0]) == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(none, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(vrfy, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, NULL, msg, sizeof(msg), &keypairs[0], &extraparams) == 0);
CHECK(ecount == 1);
- CHECK(secp256k1_schnorrsig_verify(sign, sig, msg, &pk[0]) == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, NULL, sizeof(msg), &keypairs[0], &extraparams) == 0);
CHECK(ecount == 2);
- CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, &pk[0]) == 1);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, NULL, 0, &keypairs[0], &extraparams) == 1);
CHECK(ecount == 2);
- CHECK(secp256k1_schnorrsig_verify(vrfy, NULL, msg, &pk[0]) == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), NULL, &extraparams) == 0);
CHECK(ecount == 3);
- CHECK(secp256k1_schnorrsig_verify(vrfy, sig, NULL, &pk[0]) == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &invalid_keypair, &extraparams) == 0);
CHECK(ecount == 4);
- CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, NULL) == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &keypairs[0], NULL) == 1);
+ CHECK(ecount == 4);
+ CHECK(secp256k1_schnorrsig_sign_custom(sign, sig, msg, sizeof(msg), &keypairs[0], &invalid_extraparams) == 0);
CHECK(ecount == 5);
- CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, &zero_pk) == 0);
+ CHECK(secp256k1_schnorrsig_sign_custom(sttc, sig, msg, sizeof(msg), &keypairs[0], &extraparams) == 0);
CHECK(ecount == 6);
+ ecount = 0;
+ CHECK(secp256k1_schnorrsig_sign(sign, sig, msg, &keypairs[0], NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(none, sig, msg, sizeof(msg), &pk[0]) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_verify(sign, sig, msg, sizeof(msg), &pk[0]) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), &pk[0]) == 1);
+ CHECK(ecount == 0);
+ CHECK(secp256k1_schnorrsig_verify(vrfy, NULL, msg, sizeof(msg), &pk[0]) == 0);
+ CHECK(ecount == 1);
+ CHECK(secp256k1_schnorrsig_verify(vrfy, sig, NULL, sizeof(msg), &pk[0]) == 0);
+ CHECK(ecount == 2);
+ CHECK(secp256k1_schnorrsig_verify(vrfy, sig, NULL, 0, &pk[0]) == 0);
+ CHECK(ecount == 2);
+ CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), NULL) == 0);
+ CHECK(ecount == 3);
+ CHECK(secp256k1_schnorrsig_verify(vrfy, sig, msg, sizeof(msg), &zero_pk) == 0);
+ CHECK(ecount == 4);
+
secp256k1_context_destroy(none);
secp256k1_context_destroy(sign);
secp256k1_context_destroy(vrfy);
secp256k1_context_destroy(both);
+ secp256k1_context_destroy(sttc);
}
/* Checks that hash initialized by secp256k1_schnorrsig_sha256_tagged has the
* expected state. */
void test_schnorrsig_sha256_tagged(void) {
- char tag[17] = "BIP0340/challenge";
+ unsigned char tag[17] = "BIP0340/challenge";
secp256k1_sha256 sha;
secp256k1_sha256 sha_optimized;
@@ -190,19 +241,19 @@ void test_schnorrsig_sha256_tagged(void) {
/* Helper function for schnorrsig_bip_vectors
* Signs the message and checks that it's the same as expected_sig. */
-void test_schnorrsig_bip_vectors_check_signing(const unsigned char *sk, const unsigned char *pk_serialized, unsigned char *aux_rand, const unsigned char *msg, const unsigned char *expected_sig) {
+void test_schnorrsig_bip_vectors_check_signing(const unsigned char *sk, const unsigned char *pk_serialized, const unsigned char *aux_rand, const unsigned char *msg32, const unsigned char *expected_sig) {
unsigned char sig[64];
secp256k1_keypair keypair;
secp256k1_xonly_pubkey pk, pk_expected;
CHECK(secp256k1_keypair_create(ctx, &keypair, sk));
- CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, NULL, aux_rand));
+ CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg32, &keypair, aux_rand));
CHECK(secp256k1_memcmp_var(sig, expected_sig, 64) == 0);
CHECK(secp256k1_xonly_pubkey_parse(ctx, &pk_expected, pk_serialized));
CHECK(secp256k1_keypair_xonly_pub(ctx, &pk, NULL, &keypair));
CHECK(secp256k1_memcmp_var(&pk, &pk_expected, sizeof(pk)) == 0);
- CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, &pk));
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg32, 32, &pk));
}
/* Helper function for schnorrsig_bip_vectors
@@ -211,7 +262,7 @@ void test_schnorrsig_bip_vectors_check_verify(const unsigned char *pk_serialized
secp256k1_xonly_pubkey pk;
CHECK(secp256k1_xonly_pubkey_parse(ctx, &pk, pk_serialized));
- CHECK(expected == secp256k1_schnorrsig_verify(ctx, sig, msg32, &pk));
+ CHECK(expected == secp256k1_schnorrsig_verify(ctx, sig, msg32, 32, &pk));
}
/* Test vectors according to BIP-340 ("Schnorr Signatures for secp256k1"). See
@@ -634,22 +685,26 @@ void test_schnorrsig_bip_vectors(void) {
}
/* Nonce function that returns constant 0 */
-static int nonce_function_failing(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo16, void *data) {
- (void) msg32;
+static int nonce_function_failing(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
+ (void) msg;
+ (void) msglen;
(void) key32;
(void) xonly_pk32;
- (void) algo16;
+ (void) algo;
+ (void) algolen;
(void) data;
(void) nonce32;
return 0;
}
/* Nonce function that sets nonce to 0 */
-static int nonce_function_0(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo16, void *data) {
- (void) msg32;
+static int nonce_function_0(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
+ (void) msg;
+ (void) msglen;
(void) key32;
(void) xonly_pk32;
- (void) algo16;
+ (void) algo;
+ (void) algolen;
(void) data;
memset(nonce32, 0, 32);
@@ -657,11 +712,13 @@ static int nonce_function_0(unsigned char *nonce32, const unsigned char *msg32,
}
/* Nonce function that sets nonce to 0xFF...0xFF */
-static int nonce_function_overflowing(unsigned char *nonce32, const unsigned char *msg32, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo16, void *data) {
- (void) msg32;
+static int nonce_function_overflowing(unsigned char *nonce32, const unsigned char *msg, size_t msglen, const unsigned char *key32, const unsigned char *xonly_pk32, const unsigned char *algo, size_t algolen, void *data) {
+ (void) msg;
+ (void) msglen;
(void) key32;
(void) xonly_pk32;
- (void) algo16;
+ (void) algo;
+ (void) algolen;
(void) data;
memset(nonce32, 0xFF, 32);
@@ -670,24 +727,45 @@ static int nonce_function_overflowing(unsigned char *nonce32, const unsigned cha
void test_schnorrsig_sign(void) {
unsigned char sk[32];
+ secp256k1_xonly_pubkey pk;
secp256k1_keypair keypair;
const unsigned char msg[32] = "this is a msg for a schnorrsig..";
unsigned char sig[64];
+ unsigned char sig2[64];
unsigned char zeros64[64] = { 0 };
+ secp256k1_schnorrsig_extraparams extraparams = SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT;
+ unsigned char aux_rand[32];
secp256k1_testrand256(sk);
+ secp256k1_testrand256(aux_rand);
CHECK(secp256k1_keypair_create(ctx, &keypair, sk));
- CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, NULL, NULL) == 1);
+ CHECK(secp256k1_keypair_xonly_pub(ctx, &pk, NULL, &keypair));
+ CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, sizeof(msg), &pk));
/* Test different nonce functions */
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypair, &extraparams) == 1);
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, sizeof(msg), &pk));
memset(sig, 1, sizeof(sig));
- CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, nonce_function_failing, NULL) == 0);
+ extraparams.noncefp = nonce_function_failing;
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypair, &extraparams) == 0);
CHECK(secp256k1_memcmp_var(sig, zeros64, sizeof(sig)) == 0);
memset(&sig, 1, sizeof(sig));
- CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, nonce_function_0, NULL) == 0);
+ extraparams.noncefp = nonce_function_0;
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypair, &extraparams) == 0);
CHECK(secp256k1_memcmp_var(sig, zeros64, sizeof(sig)) == 0);
- CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, nonce_function_overflowing, NULL) == 1);
- CHECK(secp256k1_memcmp_var(sig, zeros64, sizeof(sig)) != 0);
+ memset(&sig, 1, sizeof(sig));
+ extraparams.noncefp = nonce_function_overflowing;
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypair, &extraparams) == 1);
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, sizeof(msg), &pk));
+
+ /* When using the default nonce function, schnorrsig_sign_custom produces
+ * the same result as schnorrsig_sign with aux_rand = extraparams.ndata */
+ extraparams.noncefp = NULL;
+ extraparams.ndata = aux_rand;
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig, msg, sizeof(msg), &keypair, &extraparams) == 1);
+ CHECK(secp256k1_schnorrsig_sign(ctx, sig2, msg, &keypair, extraparams.ndata) == 1);
+ CHECK(secp256k1_memcmp_var(sig, sig2, sizeof(sig)) == 0);
}
#define N_SIGS 3
@@ -709,8 +787,8 @@ void test_schnorrsig_sign_verify(void) {
for (i = 0; i < N_SIGS; i++) {
secp256k1_testrand256(msg[i]);
- CHECK(secp256k1_schnorrsig_sign(ctx, sig[i], msg[i], &keypair, NULL, NULL));
- CHECK(secp256k1_schnorrsig_verify(ctx, sig[i], msg[i], &pk));
+ CHECK(secp256k1_schnorrsig_sign(ctx, sig[i], msg[i], &keypair, NULL));
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig[i], msg[i], sizeof(msg[i]), &pk));
}
{
@@ -720,36 +798,54 @@ void test_schnorrsig_sign_verify(void) {
size_t byte_idx = secp256k1_testrand_int(32);
unsigned char xorbyte = secp256k1_testrand_int(254)+1;
sig[sig_idx][byte_idx] ^= xorbyte;
- CHECK(!secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], &pk));
+ CHECK(!secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
sig[sig_idx][byte_idx] ^= xorbyte;
byte_idx = secp256k1_testrand_int(32);
sig[sig_idx][32+byte_idx] ^= xorbyte;
- CHECK(!secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], &pk));
+ CHECK(!secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
sig[sig_idx][32+byte_idx] ^= xorbyte;
byte_idx = secp256k1_testrand_int(32);
msg[sig_idx][byte_idx] ^= xorbyte;
- CHECK(!secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], &pk));
+ CHECK(!secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
msg[sig_idx][byte_idx] ^= xorbyte;
/* Check that above bitflips have been reversed correctly */
- CHECK(secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], &pk));
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig[sig_idx], msg[sig_idx], sizeof(msg[sig_idx]), &pk));
}
/* Test overflowing s */
- CHECK(secp256k1_schnorrsig_sign(ctx, sig[0], msg[0], &keypair, NULL, NULL));
- CHECK(secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], &pk));
+ CHECK(secp256k1_schnorrsig_sign(ctx, sig[0], msg[0], &keypair, NULL));
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], sizeof(msg[0]), &pk));
memset(&sig[0][32], 0xFF, 32);
- CHECK(!secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], &pk));
+ CHECK(!secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], sizeof(msg[0]), &pk));
/* Test negative s */
- CHECK(secp256k1_schnorrsig_sign(ctx, sig[0], msg[0], &keypair, NULL, NULL));
- CHECK(secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], &pk));
+ CHECK(secp256k1_schnorrsig_sign(ctx, sig[0], msg[0], &keypair, NULL));
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], sizeof(msg[0]), &pk));
secp256k1_scalar_set_b32(&s, &sig[0][32], NULL);
secp256k1_scalar_negate(&s, &s);
secp256k1_scalar_get_b32(&sig[0][32], &s);
- CHECK(!secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], &pk));
+ CHECK(!secp256k1_schnorrsig_verify(ctx, sig[0], msg[0], sizeof(msg[0]), &pk));
+
+ /* The empty message can be signed & verified */
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig[0], NULL, 0, &keypair, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig[0], NULL, 0, &pk) == 1);
+
+ {
+ /* Test varying message lengths */
+ unsigned char msg_large[32 * 8];
+ uint32_t msglen = secp256k1_testrand_int(sizeof(msg_large));
+ for (i = 0; i < sizeof(msg_large); i += 32) {
+ secp256k1_testrand256(&msg_large[i]);
+ }
+ CHECK(secp256k1_schnorrsig_sign_custom(ctx, sig[0], msg_large, msglen, &keypair, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig[0], msg_large, msglen, &pk) == 1);
+ /* Verification for a random wrong message length fails */
+ msglen = (msglen + (sizeof(msg_large) - 1)) % sizeof(msg_large);
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig[0], msg_large, msglen, &pk) == 0);
+ }
}
#undef N_SIGS
@@ -777,10 +873,10 @@ void test_schnorrsig_taproot(void) {
/* Key spend */
secp256k1_testrand256(msg);
- CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, NULL, NULL) == 1);
+ CHECK(secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, NULL) == 1);
/* Verify key spend */
CHECK(secp256k1_xonly_pubkey_parse(ctx, &output_pk, output_pk_bytes) == 1);
- CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, &output_pk) == 1);
+ CHECK(secp256k1_schnorrsig_verify(ctx, sig, msg, sizeof(msg), &output_pk) == 1);
/* Script spend */
CHECK(secp256k1_xonly_pubkey_serialize(ctx, internal_pk_bytes, &internal_pk) == 1);
diff --git a/src/secp256k1/src/num.h b/src/secp256k1/src/num.h
deleted file mode 100644
index 49f2dd791d..0000000000
--- a/src/secp256k1/src/num.h
+++ /dev/null
@@ -1,74 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef SECP256K1_NUM_H
-#define SECP256K1_NUM_H
-
-#ifndef USE_NUM_NONE
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
-
-#if defined(USE_NUM_GMP)
-#include "num_gmp.h"
-#else
-#error "Please select num implementation"
-#endif
-
-/** Copy a number. */
-static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a);
-
-/** Convert a number's absolute value to a binary big-endian string.
- * There must be enough place. */
-static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a);
-
-/** Set a number to the value of a binary big-endian string. */
-static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen);
-
-/** Compute a modular inverse. The input must be less than the modulus. */
-static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m);
-
-/** Compute the jacobi symbol (a|b). b must be positive and odd. */
-static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b);
-
-/** Compare the absolute value of two numbers. */
-static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b);
-
-/** Test whether two number are equal (including sign). */
-static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b);
-
-/** Add two (signed) numbers. */
-static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b);
-
-/** Subtract two (signed) numbers. */
-static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b);
-
-/** Multiply two (signed) numbers. */
-static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b);
-
-/** Replace a number by its remainder modulo m. M's sign is ignored. The result is a number between 0 and m-1,
- even if r was negative. */
-static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m);
-
-/** Right-shift the passed number by bits bits. */
-static void secp256k1_num_shift(secp256k1_num *r, int bits);
-
-/** Check whether a number is zero. */
-static int secp256k1_num_is_zero(const secp256k1_num *a);
-
-/** Check whether a number is one. */
-static int secp256k1_num_is_one(const secp256k1_num *a);
-
-/** Check whether a number is strictly negative. */
-static int secp256k1_num_is_neg(const secp256k1_num *a);
-
-/** Change a number's sign. */
-static void secp256k1_num_negate(secp256k1_num *r);
-
-#endif
-
-#endif /* SECP256K1_NUM_H */
diff --git a/src/secp256k1/src/num_gmp.h b/src/secp256k1/src/num_gmp.h
deleted file mode 100644
index 3619844bd5..0000000000
--- a/src/secp256k1/src/num_gmp.h
+++ /dev/null
@@ -1,20 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef SECP256K1_NUM_REPR_H
-#define SECP256K1_NUM_REPR_H
-
-#include <gmp.h>
-
-#define NUM_LIMBS ((256+GMP_NUMB_BITS-1)/GMP_NUMB_BITS)
-
-typedef struct {
- mp_limb_t data[2*NUM_LIMBS];
- int neg;
- int limbs;
-} secp256k1_num;
-
-#endif /* SECP256K1_NUM_REPR_H */
diff --git a/src/secp256k1/src/num_gmp_impl.h b/src/secp256k1/src/num_gmp_impl.h
deleted file mode 100644
index 0ae2a8ba0e..0000000000
--- a/src/secp256k1/src/num_gmp_impl.h
+++ /dev/null
@@ -1,288 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef SECP256K1_NUM_REPR_IMPL_H
-#define SECP256K1_NUM_REPR_IMPL_H
-
-#include <string.h>
-#include <stdlib.h>
-#include <gmp.h>
-
-#include "util.h"
-#include "num.h"
-
-#ifdef VERIFY
-static void secp256k1_num_sanity(const secp256k1_num *a) {
- VERIFY_CHECK(a->limbs == 1 || (a->limbs > 1 && a->data[a->limbs-1] != 0));
-}
-#else
-#define secp256k1_num_sanity(a) do { } while(0)
-#endif
-
-static void secp256k1_num_copy(secp256k1_num *r, const secp256k1_num *a) {
- *r = *a;
-}
-
-static void secp256k1_num_get_bin(unsigned char *r, unsigned int rlen, const secp256k1_num *a) {
- unsigned char tmp[65];
- int len = 0;
- int shift = 0;
- if (a->limbs>1 || a->data[0] != 0) {
- len = mpn_get_str(tmp, 256, (mp_limb_t*)a->data, a->limbs);
- }
- while (shift < len && tmp[shift] == 0) shift++;
- VERIFY_CHECK(len-shift <= (int)rlen);
- memset(r, 0, rlen - len + shift);
- if (len > shift) {
- memcpy(r + rlen - len + shift, tmp + shift, len - shift);
- }
- memset(tmp, 0, sizeof(tmp));
-}
-
-static void secp256k1_num_set_bin(secp256k1_num *r, const unsigned char *a, unsigned int alen) {
- int len;
- VERIFY_CHECK(alen > 0);
- VERIFY_CHECK(alen <= 64);
- len = mpn_set_str(r->data, a, alen, 256);
- if (len == 0) {
- r->data[0] = 0;
- len = 1;
- }
- VERIFY_CHECK(len <= NUM_LIMBS*2);
- r->limbs = len;
- r->neg = 0;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
-}
-
-static void secp256k1_num_add_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- mp_limb_t c = mpn_add(r->data, a->data, a->limbs, b->data, b->limbs);
- r->limbs = a->limbs;
- if (c != 0) {
- VERIFY_CHECK(r->limbs < 2*NUM_LIMBS);
- r->data[r->limbs++] = c;
- }
-}
-
-static void secp256k1_num_sub_abs(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- mp_limb_t c = mpn_sub(r->data, a->data, a->limbs, b->data, b->limbs);
- (void)c;
- VERIFY_CHECK(c == 0);
- r->limbs = a->limbs;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
-}
-
-static void secp256k1_num_mod(secp256k1_num *r, const secp256k1_num *m) {
- secp256k1_num_sanity(r);
- secp256k1_num_sanity(m);
-
- if (r->limbs >= m->limbs) {
- mp_limb_t t[2*NUM_LIMBS];
- mpn_tdiv_qr(t, r->data, 0, r->data, r->limbs, m->data, m->limbs);
- memset(t, 0, sizeof(t));
- r->limbs = m->limbs;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
- }
-
- if (r->neg && (r->limbs > 1 || r->data[0] != 0)) {
- secp256k1_num_sub_abs(r, m, r);
- r->neg = 0;
- }
-}
-
-static void secp256k1_num_mod_inverse(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *m) {
- int i;
- mp_limb_t g[NUM_LIMBS+1];
- mp_limb_t u[NUM_LIMBS+1];
- mp_limb_t v[NUM_LIMBS+1];
- mp_size_t sn;
- mp_size_t gn;
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(m);
-
- /** mpn_gcdext computes: (G,S) = gcdext(U,V), where
- * * G = gcd(U,V)
- * * G = U*S + V*T
- * * U has equal or more limbs than V, and V has no padding
- * If we set U to be (a padded version of) a, and V = m:
- * G = a*S + m*T
- * G = a*S mod m
- * Assuming G=1:
- * S = 1/a mod m
- */
- VERIFY_CHECK(m->limbs <= NUM_LIMBS);
- VERIFY_CHECK(m->data[m->limbs-1] != 0);
- for (i = 0; i < m->limbs; i++) {
- u[i] = (i < a->limbs) ? a->data[i] : 0;
- v[i] = m->data[i];
- }
- sn = NUM_LIMBS+1;
- gn = mpn_gcdext(g, r->data, &sn, u, m->limbs, v, m->limbs);
- (void)gn;
- VERIFY_CHECK(gn == 1);
- VERIFY_CHECK(g[0] == 1);
- r->neg = a->neg ^ m->neg;
- if (sn < 0) {
- mpn_sub(r->data, m->data, m->limbs, r->data, -sn);
- r->limbs = m->limbs;
- while (r->limbs > 1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
- } else {
- r->limbs = sn;
- }
- memset(g, 0, sizeof(g));
- memset(u, 0, sizeof(u));
- memset(v, 0, sizeof(v));
-}
-
-static int secp256k1_num_jacobi(const secp256k1_num *a, const secp256k1_num *b) {
- int ret;
- mpz_t ga, gb;
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
- VERIFY_CHECK(!b->neg && (b->limbs > 0) && (b->data[0] & 1));
-
- mpz_inits(ga, gb, NULL);
-
- mpz_import(gb, b->limbs, -1, sizeof(mp_limb_t), 0, 0, b->data);
- mpz_import(ga, a->limbs, -1, sizeof(mp_limb_t), 0, 0, a->data);
- if (a->neg) {
- mpz_neg(ga, ga);
- }
-
- ret = mpz_jacobi(ga, gb);
-
- mpz_clears(ga, gb, NULL);
-
- return ret;
-}
-
-static int secp256k1_num_is_one(const secp256k1_num *a) {
- return (a->limbs == 1 && a->data[0] == 1);
-}
-
-static int secp256k1_num_is_zero(const secp256k1_num *a) {
- return (a->limbs == 1 && a->data[0] == 0);
-}
-
-static int secp256k1_num_is_neg(const secp256k1_num *a) {
- return (a->limbs > 1 || a->data[0] != 0) && a->neg;
-}
-
-static int secp256k1_num_cmp(const secp256k1_num *a, const secp256k1_num *b) {
- if (a->limbs > b->limbs) {
- return 1;
- }
- if (a->limbs < b->limbs) {
- return -1;
- }
- return mpn_cmp(a->data, b->data, a->limbs);
-}
-
-static int secp256k1_num_eq(const secp256k1_num *a, const secp256k1_num *b) {
- if (a->limbs > b->limbs) {
- return 0;
- }
- if (a->limbs < b->limbs) {
- return 0;
- }
- if ((a->neg && !secp256k1_num_is_zero(a)) != (b->neg && !secp256k1_num_is_zero(b))) {
- return 0;
- }
- return mpn_cmp(a->data, b->data, a->limbs) == 0;
-}
-
-static void secp256k1_num_subadd(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b, int bneg) {
- if (!(b->neg ^ bneg ^ a->neg)) { /* a and b have the same sign */
- r->neg = a->neg;
- if (a->limbs >= b->limbs) {
- secp256k1_num_add_abs(r, a, b);
- } else {
- secp256k1_num_add_abs(r, b, a);
- }
- } else {
- if (secp256k1_num_cmp(a, b) > 0) {
- r->neg = a->neg;
- secp256k1_num_sub_abs(r, a, b);
- } else {
- r->neg = b->neg ^ bneg;
- secp256k1_num_sub_abs(r, b, a);
- }
- }
-}
-
-static void secp256k1_num_add(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
- secp256k1_num_subadd(r, a, b, 0);
-}
-
-static void secp256k1_num_sub(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
- secp256k1_num_subadd(r, a, b, 1);
-}
-
-static void secp256k1_num_mul(secp256k1_num *r, const secp256k1_num *a, const secp256k1_num *b) {
- mp_limb_t tmp[2*NUM_LIMBS+1];
- secp256k1_num_sanity(a);
- secp256k1_num_sanity(b);
-
- VERIFY_CHECK(a->limbs + b->limbs <= 2*NUM_LIMBS+1);
- if ((a->limbs==1 && a->data[0]==0) || (b->limbs==1 && b->data[0]==0)) {
- r->limbs = 1;
- r->neg = 0;
- r->data[0] = 0;
- return;
- }
- if (a->limbs >= b->limbs) {
- mpn_mul(tmp, a->data, a->limbs, b->data, b->limbs);
- } else {
- mpn_mul(tmp, b->data, b->limbs, a->data, a->limbs);
- }
- r->limbs = a->limbs + b->limbs;
- if (r->limbs > 1 && tmp[r->limbs - 1]==0) {
- r->limbs--;
- }
- VERIFY_CHECK(r->limbs <= 2*NUM_LIMBS);
- mpn_copyi(r->data, tmp, r->limbs);
- r->neg = a->neg ^ b->neg;
- memset(tmp, 0, sizeof(tmp));
-}
-
-static void secp256k1_num_shift(secp256k1_num *r, int bits) {
- if (bits % GMP_NUMB_BITS) {
- /* Shift within limbs. */
- mpn_rshift(r->data, r->data, r->limbs, bits % GMP_NUMB_BITS);
- }
- if (bits >= GMP_NUMB_BITS) {
- int i;
- /* Shift full limbs. */
- for (i = 0; i < r->limbs; i++) {
- int index = i + (bits / GMP_NUMB_BITS);
- if (index < r->limbs && index < 2*NUM_LIMBS) {
- r->data[i] = r->data[index];
- } else {
- r->data[i] = 0;
- }
- }
- }
- while (r->limbs>1 && r->data[r->limbs-1]==0) {
- r->limbs--;
- }
-}
-
-static void secp256k1_num_negate(secp256k1_num *r) {
- r->neg ^= 1;
-}
-
-#endif /* SECP256K1_NUM_REPR_IMPL_H */
diff --git a/src/secp256k1/src/num_impl.h b/src/secp256k1/src/num_impl.h
deleted file mode 100644
index c45193b033..0000000000
--- a/src/secp256k1/src/num_impl.h
+++ /dev/null
@@ -1,24 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef SECP256K1_NUM_IMPL_H
-#define SECP256K1_NUM_IMPL_H
-
-#if defined HAVE_CONFIG_H
-#include "libsecp256k1-config.h"
-#endif
-
-#include "num.h"
-
-#if defined(USE_NUM_GMP)
-#include "num_gmp_impl.h"
-#elif defined(USE_NUM_NONE)
-/* Nothing. */
-#else
-#error "Please select num implementation"
-#endif
-
-#endif /* SECP256K1_NUM_IMPL_H */
diff --git a/src/secp256k1/src/scalar.h b/src/secp256k1/src/scalar.h
index fb3fb187ce..aaaa3d8827 100644
--- a/src/secp256k1/src/scalar.h
+++ b/src/secp256k1/src/scalar.h
@@ -1,13 +1,12 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_H
#define SECP256K1_SCALAR_H
-#include "num.h"
#include "util.h"
#if defined HAVE_CONFIG_H
@@ -63,9 +62,6 @@ static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a,
* the low bits that were shifted off */
static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n);
-/** Compute the square of a scalar (modulo the group order). */
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a);
-
/** Compute the inverse of a scalar (modulo the group order). */
static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *a);
@@ -91,14 +87,6 @@ static int secp256k1_scalar_is_high(const secp256k1_scalar *a);
* Returns -1 if the number was negated, 1 otherwise */
static int secp256k1_scalar_cond_negate(secp256k1_scalar *a, int flag);
-#ifndef USE_NUM_NONE
-/** Convert a scalar to a number. */
-static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a);
-
-/** Get the order of the group as a number. */
-static void secp256k1_scalar_order_get_num(secp256k1_num *r);
-#endif
-
/** Compare two scalars. */
static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b);
diff --git a/src/secp256k1/src/scalar_4x64.h b/src/secp256k1/src/scalar_4x64.h
index 19c7495d1c..700964291e 100644
--- a/src/secp256k1/src/scalar_4x64.h
+++ b/src/secp256k1/src/scalar_4x64.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_REPR_H
#define SECP256K1_SCALAR_REPR_H
diff --git a/src/secp256k1/src/scalar_4x64_impl.h b/src/secp256k1/src/scalar_4x64_impl.h
index 73cbd5e18a..a1def26fca 100644
--- a/src/secp256k1/src/scalar_4x64_impl.h
+++ b/src/secp256k1/src/scalar_4x64_impl.h
@@ -1,12 +1,14 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_REPR_IMPL_H
#define SECP256K1_SCALAR_REPR_IMPL_H
+#include "modinv64_impl.h"
+
/* Limbs of the secp256k1 order. */
#define SECP256K1_N_0 ((uint64_t)0xBFD25E8CD0364141ULL)
#define SECP256K1_N_1 ((uint64_t)0xBAAEDCE6AF48A03BULL)
@@ -212,28 +214,6 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
VERIFY_CHECK(c1 >= th); \
}
-/** Add 2*a*b to the number defined by (c0,c1,c2). c2 must never overflow. */
-#define muladd2(a,b) { \
- uint64_t tl, th, th2, tl2; \
- { \
- uint128_t t = (uint128_t)a * b; \
- th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \
- tl = t; \
- } \
- th2 = th + th; /* at most 0xFFFFFFFFFFFFFFFE (in case th was 0x7FFFFFFFFFFFFFFF) */ \
- c2 += (th2 < th); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((th2 >= th) || (c2 != 0)); \
- tl2 = tl + tl; /* at most 0xFFFFFFFFFFFFFFFE (in case the lowest 63 bits of tl were 0x7FFFFFFFFFFFFFFF) */ \
- th2 += (tl2 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \
- c0 += tl2; /* overflow is handled on the next line */ \
- th2 += (c0 < tl2); /* second overflow is handled on the next line */ \
- c2 += (c0 < tl2) & (th2 == 0); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c0 >= tl2) || (th2 != 0) || (c2 != 0)); \
- c1 += th2; /* overflow is handled on the next line */ \
- c2 += (c1 < th2); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c1 >= th2) || (c2 != 0)); \
-}
-
/** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */
#define sumadd(a) { \
unsigned int over; \
@@ -743,148 +723,10 @@ static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, c
#endif
}
-static void secp256k1_scalar_sqr_512(uint64_t l[8], const secp256k1_scalar *a) {
-#ifdef USE_ASM_X86_64
- __asm__ __volatile__(
- /* Preload */
- "movq 0(%%rdi), %%r11\n"
- "movq 8(%%rdi), %%r12\n"
- "movq 16(%%rdi), %%r13\n"
- "movq 24(%%rdi), %%r14\n"
- /* (rax,rdx) = a0 * a0 */
- "movq %%r11, %%rax\n"
- "mulq %%r11\n"
- /* Extract l0 */
- "movq %%rax, 0(%%rsi)\n"
- /* (r8,r9,r10) = (rdx,0) */
- "movq %%rdx, %%r8\n"
- "xorq %%r9, %%r9\n"
- "xorq %%r10, %%r10\n"
- /* (r8,r9,r10) += 2 * a0 * a1 */
- "movq %%r11, %%rax\n"
- "mulq %%r12\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- /* Extract l1 */
- "movq %%r8, 8(%%rsi)\n"
- "xorq %%r8, %%r8\n"
- /* (r9,r10,r8) += 2 * a0 * a2 */
- "movq %%r11, %%rax\n"
- "mulq %%r13\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- /* (r9,r10,r8) += a1 * a1 */
- "movq %%r12, %%rax\n"
- "mulq %%r12\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- /* Extract l2 */
- "movq %%r9, 16(%%rsi)\n"
- "xorq %%r9, %%r9\n"
- /* (r10,r8,r9) += 2 * a0 * a3 */
- "movq %%r11, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- /* (r10,r8,r9) += 2 * a1 * a2 */
- "movq %%r12, %%rax\n"
- "mulq %%r13\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- "adcq $0, %%r9\n"
- /* Extract l3 */
- "movq %%r10, 24(%%rsi)\n"
- "xorq %%r10, %%r10\n"
- /* (r8,r9,r10) += 2 * a1 * a3 */
- "movq %%r12, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- /* (r8,r9,r10) += a2 * a2 */
- "movq %%r13, %%rax\n"
- "mulq %%r13\n"
- "addq %%rax, %%r8\n"
- "adcq %%rdx, %%r9\n"
- "adcq $0, %%r10\n"
- /* Extract l4 */
- "movq %%r8, 32(%%rsi)\n"
- "xorq %%r8, %%r8\n"
- /* (r9,r10,r8) += 2 * a2 * a3 */
- "movq %%r13, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- "addq %%rax, %%r9\n"
- "adcq %%rdx, %%r10\n"
- "adcq $0, %%r8\n"
- /* Extract l5 */
- "movq %%r9, 40(%%rsi)\n"
- /* (r10,r8) += a3 * a3 */
- "movq %%r14, %%rax\n"
- "mulq %%r14\n"
- "addq %%rax, %%r10\n"
- "adcq %%rdx, %%r8\n"
- /* Extract l6 */
- "movq %%r10, 48(%%rsi)\n"
- /* Extract l7 */
- "movq %%r8, 56(%%rsi)\n"
- :
- : "S"(l), "D"(a->d)
- : "rax", "rdx", "r8", "r9", "r10", "r11", "r12", "r13", "r14", "cc", "memory");
-#else
- /* 160 bit accumulator. */
- uint64_t c0 = 0, c1 = 0;
- uint32_t c2 = 0;
-
- /* l[0..7] = a[0..3] * b[0..3]. */
- muladd_fast(a->d[0], a->d[0]);
- extract_fast(l[0]);
- muladd2(a->d[0], a->d[1]);
- extract(l[1]);
- muladd2(a->d[0], a->d[2]);
- muladd(a->d[1], a->d[1]);
- extract(l[2]);
- muladd2(a->d[0], a->d[3]);
- muladd2(a->d[1], a->d[2]);
- extract(l[3]);
- muladd2(a->d[1], a->d[3]);
- muladd(a->d[2], a->d[2]);
- extract(l[4]);
- muladd2(a->d[2], a->d[3]);
- extract(l[5]);
- muladd_fast(a->d[3], a->d[3]);
- extract_fast(l[6]);
- VERIFY_CHECK(c1 == 0);
- l[7] = c0;
-#endif
-}
-
#undef sumadd
#undef sumadd_fast
#undef muladd
#undef muladd_fast
-#undef muladd2
#undef extract
#undef extract_fast
@@ -906,12 +748,6 @@ static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) {
return ret;
}
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) {
- uint64_t l[8];
- secp256k1_scalar_sqr_512(l, a);
- secp256k1_scalar_reduce_512(r, l);
-}
-
static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) {
r1->d[0] = k->d[0];
r1->d[1] = k->d[1];
@@ -955,4 +791,78 @@ static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const se
r->d[3] = (r->d[3] & mask0) | (a->d[3] & mask1);
}
+static void secp256k1_scalar_from_signed62(secp256k1_scalar *r, const secp256k1_modinv64_signed62 *a) {
+ const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4];
+
+ /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and
+ * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4).
+ */
+ VERIFY_CHECK(a0 >> 62 == 0);
+ VERIFY_CHECK(a1 >> 62 == 0);
+ VERIFY_CHECK(a2 >> 62 == 0);
+ VERIFY_CHECK(a3 >> 62 == 0);
+ VERIFY_CHECK(a4 >> 8 == 0);
+
+ r->d[0] = a0 | a1 << 62;
+ r->d[1] = a1 >> 2 | a2 << 60;
+ r->d[2] = a2 >> 4 | a3 << 58;
+ r->d[3] = a3 >> 6 | a4 << 56;
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0);
+#endif
+}
+
+static void secp256k1_scalar_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_scalar *a) {
+ const uint64_t M62 = UINT64_MAX >> 2;
+ const uint64_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3];
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_check_overflow(a) == 0);
+#endif
+
+ r->v[0] = a0 & M62;
+ r->v[1] = (a0 >> 62 | a1 << 2) & M62;
+ r->v[2] = (a1 >> 60 | a2 << 4) & M62;
+ r->v[3] = (a2 >> 58 | a3 << 6) & M62;
+ r->v[4] = a3 >> 56;
+}
+
+static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_scalar = {
+ {{0x3FD25E8CD0364141LL, 0x2ABB739ABD2280EELL, -0x15LL, 0, 256}},
+ 0x34F20099AA774EC1LL
+};
+
+static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv64_signed62 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
+#endif
+ secp256k1_scalar_to_signed62(&s, x);
+ secp256k1_modinv64(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed62(r, &s);
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
+#endif
+}
+
+static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv64_signed62 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
+#endif
+ secp256k1_scalar_to_signed62(&s, x);
+ secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed62(r, &s);
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
+#endif
+}
+
+SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) {
+ return !(a->d[0] & 1);
+}
+
#endif /* SECP256K1_SCALAR_REPR_IMPL_H */
diff --git a/src/secp256k1/src/scalar_8x32.h b/src/secp256k1/src/scalar_8x32.h
index 2c9a348e24..17863ef937 100644
--- a/src/secp256k1/src/scalar_8x32.h
+++ b/src/secp256k1/src/scalar_8x32.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_REPR_H
#define SECP256K1_SCALAR_REPR_H
diff --git a/src/secp256k1/src/scalar_8x32_impl.h b/src/secp256k1/src/scalar_8x32_impl.h
index 6853f79ecc..62c7ae7156 100644
--- a/src/secp256k1/src/scalar_8x32_impl.h
+++ b/src/secp256k1/src/scalar_8x32_impl.h
@@ -1,12 +1,14 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_REPR_IMPL_H
#define SECP256K1_SCALAR_REPR_IMPL_H
+#include "modinv32_impl.h"
+
/* Limbs of the secp256k1 order. */
#define SECP256K1_N_0 ((uint32_t)0xD0364141UL)
#define SECP256K1_N_1 ((uint32_t)0xBFD25E8CUL)
@@ -291,28 +293,6 @@ static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag) {
VERIFY_CHECK(c1 >= th); \
}
-/** Add 2*a*b to the number defined by (c0,c1,c2). c2 must never overflow. */
-#define muladd2(a,b) { \
- uint32_t tl, th, th2, tl2; \
- { \
- uint64_t t = (uint64_t)a * b; \
- th = t >> 32; /* at most 0xFFFFFFFE */ \
- tl = t; \
- } \
- th2 = th + th; /* at most 0xFFFFFFFE (in case th was 0x7FFFFFFF) */ \
- c2 += (th2 < th); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((th2 >= th) || (c2 != 0)); \
- tl2 = tl + tl; /* at most 0xFFFFFFFE (in case the lowest 63 bits of tl were 0x7FFFFFFF) */ \
- th2 += (tl2 < tl); /* at most 0xFFFFFFFF */ \
- c0 += tl2; /* overflow is handled on the next line */ \
- th2 += (c0 < tl2); /* second overflow is handled on the next line */ \
- c2 += (c0 < tl2) & (th2 == 0); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c0 >= tl2) || (th2 != 0) || (c2 != 0)); \
- c1 += th2; /* overflow is handled on the next line */ \
- c2 += (c1 < th2); /* never overflows by contract (verified the next line) */ \
- VERIFY_CHECK((c1 >= th2) || (c2 != 0)); \
-}
-
/** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */
#define sumadd(a) { \
unsigned int over; \
@@ -576,71 +556,10 @@ static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar *a, con
l[15] = c0;
}
-static void secp256k1_scalar_sqr_512(uint32_t *l, const secp256k1_scalar *a) {
- /* 96 bit accumulator. */
- uint32_t c0 = 0, c1 = 0, c2 = 0;
-
- /* l[0..15] = a[0..7]^2. */
- muladd_fast(a->d[0], a->d[0]);
- extract_fast(l[0]);
- muladd2(a->d[0], a->d[1]);
- extract(l[1]);
- muladd2(a->d[0], a->d[2]);
- muladd(a->d[1], a->d[1]);
- extract(l[2]);
- muladd2(a->d[0], a->d[3]);
- muladd2(a->d[1], a->d[2]);
- extract(l[3]);
- muladd2(a->d[0], a->d[4]);
- muladd2(a->d[1], a->d[3]);
- muladd(a->d[2], a->d[2]);
- extract(l[4]);
- muladd2(a->d[0], a->d[5]);
- muladd2(a->d[1], a->d[4]);
- muladd2(a->d[2], a->d[3]);
- extract(l[5]);
- muladd2(a->d[0], a->d[6]);
- muladd2(a->d[1], a->d[5]);
- muladd2(a->d[2], a->d[4]);
- muladd(a->d[3], a->d[3]);
- extract(l[6]);
- muladd2(a->d[0], a->d[7]);
- muladd2(a->d[1], a->d[6]);
- muladd2(a->d[2], a->d[5]);
- muladd2(a->d[3], a->d[4]);
- extract(l[7]);
- muladd2(a->d[1], a->d[7]);
- muladd2(a->d[2], a->d[6]);
- muladd2(a->d[3], a->d[5]);
- muladd(a->d[4], a->d[4]);
- extract(l[8]);
- muladd2(a->d[2], a->d[7]);
- muladd2(a->d[3], a->d[6]);
- muladd2(a->d[4], a->d[5]);
- extract(l[9]);
- muladd2(a->d[3], a->d[7]);
- muladd2(a->d[4], a->d[6]);
- muladd(a->d[5], a->d[5]);
- extract(l[10]);
- muladd2(a->d[4], a->d[7]);
- muladd2(a->d[5], a->d[6]);
- extract(l[11]);
- muladd2(a->d[5], a->d[7]);
- muladd(a->d[6], a->d[6]);
- extract(l[12]);
- muladd2(a->d[6], a->d[7]);
- extract(l[13]);
- muladd_fast(a->d[7], a->d[7]);
- extract_fast(l[14]);
- VERIFY_CHECK(c1 == 0);
- l[15] = c0;
-}
-
#undef sumadd
#undef sumadd_fast
#undef muladd
#undef muladd_fast
-#undef muladd2
#undef extract
#undef extract_fast
@@ -666,12 +585,6 @@ static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) {
return ret;
}
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) {
- uint32_t l[16];
- secp256k1_scalar_sqr_512(l, a);
- secp256k1_scalar_reduce_512(r, l);
-}
-
static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) {
r1->d[0] = k->d[0];
r1->d[1] = k->d[1];
@@ -731,4 +644,92 @@ static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const se
r->d[7] = (r->d[7] & mask0) | (a->d[7] & mask1);
}
+static void secp256k1_scalar_from_signed30(secp256k1_scalar *r, const secp256k1_modinv32_signed30 *a) {
+ const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4],
+ a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8];
+
+ /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and
+ * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8).
+ */
+ VERIFY_CHECK(a0 >> 30 == 0);
+ VERIFY_CHECK(a1 >> 30 == 0);
+ VERIFY_CHECK(a2 >> 30 == 0);
+ VERIFY_CHECK(a3 >> 30 == 0);
+ VERIFY_CHECK(a4 >> 30 == 0);
+ VERIFY_CHECK(a5 >> 30 == 0);
+ VERIFY_CHECK(a6 >> 30 == 0);
+ VERIFY_CHECK(a7 >> 30 == 0);
+ VERIFY_CHECK(a8 >> 16 == 0);
+
+ r->d[0] = a0 | a1 << 30;
+ r->d[1] = a1 >> 2 | a2 << 28;
+ r->d[2] = a2 >> 4 | a3 << 26;
+ r->d[3] = a3 >> 6 | a4 << 24;
+ r->d[4] = a4 >> 8 | a5 << 22;
+ r->d[5] = a5 >> 10 | a6 << 20;
+ r->d[6] = a6 >> 12 | a7 << 18;
+ r->d[7] = a7 >> 14 | a8 << 16;
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0);
+#endif
+}
+
+static void secp256k1_scalar_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_scalar *a) {
+ const uint32_t M30 = UINT32_MAX >> 2;
+ const uint32_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3],
+ a4 = a->d[4], a5 = a->d[5], a6 = a->d[6], a7 = a->d[7];
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_check_overflow(a) == 0);
+#endif
+
+ r->v[0] = a0 & M30;
+ r->v[1] = (a0 >> 30 | a1 << 2) & M30;
+ r->v[2] = (a1 >> 28 | a2 << 4) & M30;
+ r->v[3] = (a2 >> 26 | a3 << 6) & M30;
+ r->v[4] = (a3 >> 24 | a4 << 8) & M30;
+ r->v[5] = (a4 >> 22 | a5 << 10) & M30;
+ r->v[6] = (a5 >> 20 | a6 << 12) & M30;
+ r->v[7] = (a6 >> 18 | a7 << 14) & M30;
+ r->v[8] = a7 >> 16;
+}
+
+static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_scalar = {
+ {{0x10364141L, 0x3F497A33L, 0x348A03BBL, 0x2BB739ABL, -0x146L, 0, 0, 0, 65536}},
+ 0x2A774EC1L
+};
+
+static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv32_signed30 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
+#endif
+ secp256k1_scalar_to_signed30(&s, x);
+ secp256k1_modinv32(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed30(r, &s);
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
+#endif
+}
+
+static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_modinv32_signed30 s;
+#ifdef VERIFY
+ int zero_in = secp256k1_scalar_is_zero(x);
+#endif
+ secp256k1_scalar_to_signed30(&s, x);
+ secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_scalar);
+ secp256k1_scalar_from_signed30(r, &s);
+
+#ifdef VERIFY
+ VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in);
+#endif
+}
+
+SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) {
+ return !(a->d[0] & 1);
+}
+
#endif /* SECP256K1_SCALAR_REPR_IMPL_H */
diff --git a/src/secp256k1/src/scalar_impl.h b/src/secp256k1/src/scalar_impl.h
index fc75891818..1b690e3944 100644
--- a/src/secp256k1/src/scalar_impl.h
+++ b/src/secp256k1/src/scalar_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_IMPL_H
#define SECP256K1_SCALAR_IMPL_H
@@ -31,231 +31,12 @@
static const secp256k1_scalar secp256k1_scalar_one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1);
static const secp256k1_scalar secp256k1_scalar_zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
-#ifndef USE_NUM_NONE
-static void secp256k1_scalar_get_num(secp256k1_num *r, const secp256k1_scalar *a) {
- unsigned char c[32];
- secp256k1_scalar_get_b32(c, a);
- secp256k1_num_set_bin(r, c, 32);
-}
-
-/** secp256k1 curve order, see secp256k1_ecdsa_const_order_as_fe in ecdsa_impl.h */
-static void secp256k1_scalar_order_get_num(secp256k1_num *r) {
-#if defined(EXHAUSTIVE_TEST_ORDER)
- static const unsigned char order[32] = {
- 0,0,0,0,0,0,0,0,
- 0,0,0,0,0,0,0,0,
- 0,0,0,0,0,0,0,0,
- 0,0,0,0,0,0,0,EXHAUSTIVE_TEST_ORDER
- };
-#else
- static const unsigned char order[32] = {
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
- 0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,
- 0xBA,0xAE,0xDC,0xE6,0xAF,0x48,0xA0,0x3B,
- 0xBF,0xD2,0x5E,0x8C,0xD0,0x36,0x41,0x41
- };
-#endif
- secp256k1_num_set_bin(r, order, 32);
-}
-#endif
-
static int secp256k1_scalar_set_b32_seckey(secp256k1_scalar *r, const unsigned char *bin) {
int overflow;
secp256k1_scalar_set_b32(r, bin, &overflow);
return (!overflow) & (!secp256k1_scalar_is_zero(r));
}
-static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
-#if defined(EXHAUSTIVE_TEST_ORDER)
- int i;
- *r = 0;
- for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++)
- if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1)
- *r = i;
- /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus
- * have a composite group order; fix it in exhaustive_tests.c). */
- VERIFY_CHECK(*r != 0);
-}
-#else
- secp256k1_scalar *t;
- int i;
- /* First compute xN as x ^ (2^N - 1) for some values of N,
- * and uM as x ^ M for some values of M. */
- secp256k1_scalar x2, x3, x6, x8, x14, x28, x56, x112, x126;
- secp256k1_scalar u2, u5, u9, u11, u13;
-
- secp256k1_scalar_sqr(&u2, x);
- secp256k1_scalar_mul(&x2, &u2, x);
- secp256k1_scalar_mul(&u5, &u2, &x2);
- secp256k1_scalar_mul(&x3, &u5, &u2);
- secp256k1_scalar_mul(&u9, &x3, &u2);
- secp256k1_scalar_mul(&u11, &u9, &u2);
- secp256k1_scalar_mul(&u13, &u11, &u2);
-
- secp256k1_scalar_sqr(&x6, &u13);
- secp256k1_scalar_sqr(&x6, &x6);
- secp256k1_scalar_mul(&x6, &x6, &u11);
-
- secp256k1_scalar_sqr(&x8, &x6);
- secp256k1_scalar_sqr(&x8, &x8);
- secp256k1_scalar_mul(&x8, &x8, &x2);
-
- secp256k1_scalar_sqr(&x14, &x8);
- for (i = 0; i < 5; i++) {
- secp256k1_scalar_sqr(&x14, &x14);
- }
- secp256k1_scalar_mul(&x14, &x14, &x6);
-
- secp256k1_scalar_sqr(&x28, &x14);
- for (i = 0; i < 13; i++) {
- secp256k1_scalar_sqr(&x28, &x28);
- }
- secp256k1_scalar_mul(&x28, &x28, &x14);
-
- secp256k1_scalar_sqr(&x56, &x28);
- for (i = 0; i < 27; i++) {
- secp256k1_scalar_sqr(&x56, &x56);
- }
- secp256k1_scalar_mul(&x56, &x56, &x28);
-
- secp256k1_scalar_sqr(&x112, &x56);
- for (i = 0; i < 55; i++) {
- secp256k1_scalar_sqr(&x112, &x112);
- }
- secp256k1_scalar_mul(&x112, &x112, &x56);
-
- secp256k1_scalar_sqr(&x126, &x112);
- for (i = 0; i < 13; i++) {
- secp256k1_scalar_sqr(&x126, &x126);
- }
- secp256k1_scalar_mul(&x126, &x126, &x14);
-
- /* Then accumulate the final result (t starts at x126). */
- t = &x126;
- for (i = 0; i < 3; i++) {
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u5); /* 101 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u5); /* 101 */
- for (i = 0; i < 5; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u11); /* 1011 */
- for (i = 0; i < 4; i++) {
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u11); /* 1011 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 5; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 6; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u13); /* 1101 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u5); /* 101 */
- for (i = 0; i < 3; i++) {
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 5; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u9); /* 1001 */
- for (i = 0; i < 6; i++) { /* 000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u5); /* 101 */
- for (i = 0; i < 10; i++) { /* 0000000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 4; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x3); /* 111 */
- for (i = 0; i < 9; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x8); /* 11111111 */
- for (i = 0; i < 5; i++) { /* 0 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u9); /* 1001 */
- for (i = 0; i < 6; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u11); /* 1011 */
- for (i = 0; i < 4; i++) {
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u13); /* 1101 */
- for (i = 0; i < 5; i++) {
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &x2); /* 11 */
- for (i = 0; i < 6; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u13); /* 1101 */
- for (i = 0; i < 10; i++) { /* 000000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u13); /* 1101 */
- for (i = 0; i < 4; i++) {
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, &u9); /* 1001 */
- for (i = 0; i < 6; i++) { /* 00000 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(t, t, x); /* 1 */
- for (i = 0; i < 8; i++) { /* 00 */
- secp256k1_scalar_sqr(t, t);
- }
- secp256k1_scalar_mul(r, t, &x6); /* 111111 */
-}
-
-SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) {
- return !(a->d[0] & 1);
-}
-#endif
-
-static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
-#if defined(USE_SCALAR_INV_BUILTIN)
- secp256k1_scalar_inverse(r, x);
-#elif defined(USE_SCALAR_INV_NUM)
- unsigned char b[32];
- secp256k1_num n, m;
- secp256k1_scalar t = *x;
- secp256k1_scalar_get_b32(b, &t);
- secp256k1_num_set_bin(&n, b, 32);
- secp256k1_scalar_order_get_num(&m);
- secp256k1_num_mod_inverse(&n, &n, &m);
- secp256k1_num_get_bin(b, 32, &n);
- secp256k1_scalar_set_b32(r, b, NULL);
- /* Verify that the inverse was computed correctly, without GMP code. */
- secp256k1_scalar_mul(&t, &t, r);
- CHECK(secp256k1_scalar_is_one(&t));
-#else
-#error "Please select scalar inverse implementation"
-#endif
-}
-
/* These parameters are generated using sage/gen_exhaustive_groups.sage. */
#if defined(EXHAUSTIVE_TEST_ORDER)
# if EXHAUSTIVE_TEST_ORDER == 13
@@ -293,7 +74,7 @@ static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, con
* Both lambda and beta are primitive cube roots of unity. That is lamba^3 == 1 mod n and
* beta^3 == 1 mod p, where n is the curve order and p is the field order.
*
- * Futhermore, because (X^3 - 1) = (X - 1)(X^2 + X + 1), the primitive cube roots of unity are
+ * Furthermore, because (X^3 - 1) = (X - 1)(X^2 + X + 1), the primitive cube roots of unity are
* roots of X^2 + X + 1. Therefore lambda^2 + lamba == -1 mod n and beta^2 + beta == -1 mod p.
* (The other primitive cube roots of unity are lambda^2 and beta^2 respectively.)
*
diff --git a/src/secp256k1/src/scalar_low.h b/src/secp256k1/src/scalar_low.h
index 2794a7f171..67051bd30b 100644
--- a/src/secp256k1/src/scalar_low.h
+++ b/src/secp256k1/src/scalar_low.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_REPR_H
#define SECP256K1_SCALAR_REPR_H
diff --git a/src/secp256k1/src/scalar_low_impl.h b/src/secp256k1/src/scalar_low_impl.h
index a615ec074b..7176f0b2ca 100644
--- a/src/secp256k1/src/scalar_low_impl.h
+++ b/src/secp256k1/src/scalar_low_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2015 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SCALAR_REPR_IMPL_H
#define SECP256K1_SCALAR_REPR_IMPL_H
@@ -104,10 +104,6 @@ static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) {
return ret;
}
-static void secp256k1_scalar_sqr(secp256k1_scalar *r, const secp256k1_scalar *a) {
- *r = (*a * *a) % EXHAUSTIVE_TEST_ORDER;
-}
-
static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a) {
*r1 = *a;
*r2 = 0;
@@ -125,4 +121,19 @@ static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const se
*r = (*r & mask0) | (*a & mask1);
}
+static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ int i;
+ *r = 0;
+ for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++)
+ if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1)
+ *r = i;
+ /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus
+ * have a composite group order; fix it in exhaustive_tests.c). */
+ VERIFY_CHECK(*r != 0);
+}
+
+static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) {
+ secp256k1_scalar_inverse(r, x);
+}
+
#endif /* SECP256K1_SCALAR_REPR_IMPL_H */
diff --git a/src/secp256k1/src/scratch.h b/src/secp256k1/src/scratch.h
index 77b35d126b..9dcb7581f6 100644
--- a/src/secp256k1/src/scratch.h
+++ b/src/secp256k1/src/scratch.h
@@ -1,11 +1,11 @@
-/**********************************************************************
- * Copyright (c) 2017 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef _SECP256K1_SCRATCH_
-#define _SECP256K1_SCRATCH_
+/***********************************************************************
+ * Copyright (c) 2017 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
+
+#ifndef SECP256K1_SCRATCH_H
+#define SECP256K1_SCRATCH_H
/* The typedef is used internally; the struct name is used in the public API
* (where it is exposed as a different typedef) */
diff --git a/src/secp256k1/src/scratch_impl.h b/src/secp256k1/src/scratch_impl.h
index f381e2e322..688e18eb66 100644
--- a/src/secp256k1/src/scratch_impl.h
+++ b/src/secp256k1/src/scratch_impl.h
@@ -1,11 +1,11 @@
-/**********************************************************************
- * Copyright (c) 2017 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2017 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#ifndef _SECP256K1_SCRATCH_IMPL_H_
-#define _SECP256K1_SCRATCH_IMPL_H_
+#ifndef SECP256K1_SCRATCH_IMPL_H
+#define SECP256K1_SCRATCH_IMPL_H
#include "util.h"
#include "scratch.h"
diff --git a/src/secp256k1/src/secp256k1.c b/src/secp256k1/src/secp256k1.c
index dae506d08c..36fde24c3d 100644
--- a/src/secp256k1/src/secp256k1.c
+++ b/src/secp256k1/src/secp256k1.c
@@ -1,15 +1,16 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
-#include "include/secp256k1.h"
-#include "include/secp256k1_preallocated.h"
+#define SECP256K1_BUILD
+
+#include "../include/secp256k1.h"
+#include "../include/secp256k1_preallocated.h"
#include "assumptions.h"
#include "util.h"
-#include "num_impl.h"
#include "field_impl.h"
#include "scalar_impl.h"
#include "group_impl.h"
@@ -22,6 +23,10 @@
#include "scratch_impl.h"
#include "selftest.h"
+#ifdef SECP256K1_NO_BUILD
+# error "secp256k1.h processed without SECP256K1_BUILD defined while building secp256k1.c"
+#endif
+
#if defined(VALGRIND)
# include <valgrind/memcheck.h>
#endif
@@ -39,36 +44,7 @@
} \
} while(0)
-#ifndef USE_EXTERNAL_DEFAULT_CALLBACKS
-#include <stdlib.h>
-#include <stdio.h>
-static void secp256k1_default_illegal_callback_fn(const char* str, void* data) {
- (void)data;
- fprintf(stderr, "[libsecp256k1] illegal argument: %s\n", str);
- abort();
-}
-static void secp256k1_default_error_callback_fn(const char* str, void* data) {
- (void)data;
- fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str);
- abort();
-}
-#else
-void secp256k1_default_illegal_callback_fn(const char* str, void* data);
-void secp256k1_default_error_callback_fn(const char* str, void* data);
-#endif
-
-static const secp256k1_callback default_illegal_callback = {
- secp256k1_default_illegal_callback_fn,
- NULL
-};
-
-static const secp256k1_callback default_error_callback = {
- secp256k1_default_error_callback_fn,
- NULL
-};
-
struct secp256k1_context_struct {
- secp256k1_ecmult_context ecmult_ctx;
secp256k1_ecmult_gen_context ecmult_gen_ctx;
secp256k1_callback illegal_callback;
secp256k1_callback error_callback;
@@ -77,7 +53,6 @@ struct secp256k1_context_struct {
static const secp256k1_context secp256k1_context_no_precomp_ = {
{ 0 },
- { 0 },
{ secp256k1_default_illegal_callback_fn, 0 },
{ secp256k1_default_error_callback_fn, 0 },
0
@@ -85,7 +60,9 @@ static const secp256k1_context secp256k1_context_no_precomp_ = {
const secp256k1_context *secp256k1_context_no_precomp = &secp256k1_context_no_precomp_;
size_t secp256k1_context_preallocated_size(unsigned int flags) {
- size_t ret = ROUND_TO_ALIGN(sizeof(secp256k1_context));
+ size_t ret = sizeof(secp256k1_context);
+ /* A return value of 0 is reserved as an indicator for errors when we call this function internally. */
+ VERIFY_CHECK(ret != 0);
if (EXPECT((flags & SECP256K1_FLAGS_TYPE_MASK) != SECP256K1_FLAGS_TYPE_CONTEXT, 0)) {
secp256k1_callback_call(&default_illegal_callback,
@@ -93,59 +70,38 @@ size_t secp256k1_context_preallocated_size(unsigned int flags) {
return 0;
}
- if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) {
- ret += SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
- }
- if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) {
- ret += SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE;
- }
return ret;
}
size_t secp256k1_context_preallocated_clone_size(const secp256k1_context* ctx) {
- size_t ret = ROUND_TO_ALIGN(sizeof(secp256k1_context));
+ size_t ret = sizeof(secp256k1_context);
VERIFY_CHECK(ctx != NULL);
- if (secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)) {
- ret += SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
- }
- if (secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)) {
- ret += SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE;
- }
return ret;
}
secp256k1_context* secp256k1_context_preallocated_create(void* prealloc, unsigned int flags) {
- void* const base = prealloc;
size_t prealloc_size;
secp256k1_context* ret;
if (!secp256k1_selftest()) {
secp256k1_callback_call(&default_error_callback, "self test failed");
}
- VERIFY_CHECK(prealloc != NULL);
+
prealloc_size = secp256k1_context_preallocated_size(flags);
- ret = (secp256k1_context*)manual_alloc(&prealloc, sizeof(secp256k1_context), base, prealloc_size);
+ if (prealloc_size == 0) {
+ return NULL;
+ }
+ VERIFY_CHECK(prealloc != NULL);
+ ret = (secp256k1_context*)prealloc;
ret->illegal_callback = default_illegal_callback;
ret->error_callback = default_error_callback;
- if (EXPECT((flags & SECP256K1_FLAGS_TYPE_MASK) != SECP256K1_FLAGS_TYPE_CONTEXT, 0)) {
- secp256k1_callback_call(&ret->illegal_callback,
- "Invalid flags");
- return NULL;
- }
-
- secp256k1_ecmult_context_init(&ret->ecmult_ctx);
- secp256k1_ecmult_gen_context_init(&ret->ecmult_gen_ctx);
-
- if (flags & SECP256K1_FLAGS_BIT_CONTEXT_SIGN) {
- secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx, &prealloc);
- }
- if (flags & SECP256K1_FLAGS_BIT_CONTEXT_VERIFY) {
- secp256k1_ecmult_context_build(&ret->ecmult_ctx, &prealloc);
- }
+ /* Flags have been checked by secp256k1_context_preallocated_size. */
+ VERIFY_CHECK((flags & SECP256K1_FLAGS_TYPE_MASK) == SECP256K1_FLAGS_TYPE_CONTEXT);
+ secp256k1_ecmult_gen_context_build(&ret->ecmult_gen_ctx);
ret->declassify = !!(flags & SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY);
- return (secp256k1_context*) ret;
+ return ret;
}
secp256k1_context* secp256k1_context_create(unsigned int flags) {
@@ -160,16 +116,12 @@ secp256k1_context* secp256k1_context_create(unsigned int flags) {
}
secp256k1_context* secp256k1_context_preallocated_clone(const secp256k1_context* ctx, void* prealloc) {
- size_t prealloc_size;
secp256k1_context* ret;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(prealloc != NULL);
- prealloc_size = secp256k1_context_preallocated_clone_size(ctx);
ret = (secp256k1_context*)prealloc;
- memcpy(ret, ctx, prealloc_size);
- secp256k1_ecmult_gen_context_finalize_memcpy(&ret->ecmult_gen_ctx, &ctx->ecmult_gen_ctx);
- secp256k1_ecmult_context_finalize_memcpy(&ret->ecmult_ctx, &ctx->ecmult_ctx);
+ *ret = *ctx;
return ret;
}
@@ -187,7 +139,6 @@ secp256k1_context* secp256k1_context_clone(const secp256k1_context* ctx) {
void secp256k1_context_preallocated_destroy(secp256k1_context* ctx) {
ARG_CHECK_NO_RETURN(ctx != secp256k1_context_no_precomp);
if (ctx != NULL) {
- secp256k1_ecmult_context_clear(&ctx->ecmult_ctx);
secp256k1_ecmult_gen_context_clear(&ctx->ecmult_gen_ctx);
}
}
@@ -315,6 +266,32 @@ int secp256k1_ec_pubkey_serialize(const secp256k1_context* ctx, unsigned char *o
return ret;
}
+int secp256k1_ec_pubkey_cmp(const secp256k1_context* ctx, const secp256k1_pubkey* pubkey0, const secp256k1_pubkey* pubkey1) {
+ unsigned char out[2][33];
+ const secp256k1_pubkey* pk[2];
+ int i;
+
+ VERIFY_CHECK(ctx != NULL);
+ pk[0] = pubkey0; pk[1] = pubkey1;
+ for (i = 0; i < 2; i++) {
+ size_t out_size = sizeof(out[i]);
+ /* If the public key is NULL or invalid, ec_pubkey_serialize will call
+ * the illegal_callback and return 0. In that case we will serialize the
+ * key as all zeros which is less than any valid public key. This
+ * results in consistent comparisons even if NULL or invalid pubkeys are
+ * involved and prevents edge cases such as sorting algorithms that use
+ * this function and do not terminate as a result. */
+ if (!secp256k1_ec_pubkey_serialize(ctx, out[i], &out_size, pk[i], SECP256K1_EC_COMPRESSED)) {
+ /* Note that ec_pubkey_serialize should already set the output to
+ * zero in that case, but it's not guaranteed by the API, we can't
+ * test it and writing a VERIFY_CHECK is more complex than
+ * explicitly memsetting (again). */
+ memset(out[i], 0, sizeof(out[i]));
+ }
+ }
+ return secp256k1_memcmp_var(out[0], out[1], sizeof(out[0]));
+}
+
static void secp256k1_ecdsa_signature_load(const secp256k1_context* ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_ecdsa_signature* sig) {
(void)ctx;
if (sizeof(secp256k1_scalar) == 32) {
@@ -420,21 +397,20 @@ int secp256k1_ecdsa_signature_normalize(const secp256k1_context* ctx, secp256k1_
return ret;
}
-int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msg32, const secp256k1_pubkey *pubkey) {
+int secp256k1_ecdsa_verify(const secp256k1_context* ctx, const secp256k1_ecdsa_signature *sig, const unsigned char *msghash32, const secp256k1_pubkey *pubkey) {
secp256k1_ge q;
secp256k1_scalar r, s;
secp256k1_scalar m;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msghash32 != NULL);
ARG_CHECK(sig != NULL);
ARG_CHECK(pubkey != NULL);
- secp256k1_scalar_set_b32(&m, msg32, NULL);
+ secp256k1_scalar_set_b32(&m, msghash32, NULL);
secp256k1_ecdsa_signature_load(ctx, &r, &s, sig);
return (!secp256k1_scalar_is_high(&s) &&
secp256k1_pubkey_load(ctx, &q, pubkey) &&
- secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &r, &s, &q, &m));
+ secp256k1_ecdsa_sig_verify(&r, &s, &q, &m));
}
static SECP256K1_INLINE void buffer_append(unsigned char *buf, unsigned int *offset, const void *data, unsigned int len) {
@@ -531,16 +507,16 @@ static int secp256k1_ecdsa_sign_inner(const secp256k1_context* ctx, secp256k1_sc
return ret;
}
-int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature *signature, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
+int secp256k1_ecdsa_sign(const secp256k1_context* ctx, secp256k1_ecdsa_signature *signature, const unsigned char *msghash32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void* noncedata) {
secp256k1_scalar r, s;
int ret;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx));
- ARG_CHECK(msg32 != NULL);
+ ARG_CHECK(msghash32 != NULL);
ARG_CHECK(signature != NULL);
ARG_CHECK(seckey != NULL);
- ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, NULL, msg32, seckey, noncefp, noncedata);
+ ret = secp256k1_ecdsa_sign_inner(ctx, &r, &s, NULL, msghash32, seckey, noncefp, noncedata);
secp256k1_ecdsa_signature_save(signature, &r, &s);
return ret;
}
@@ -580,7 +556,7 @@ int secp256k1_ec_pubkey_create(const secp256k1_context* ctx, secp256k1_pubkey *p
ret = secp256k1_ec_pubkey_create_helper(&ctx->ecmult_gen_ctx, &seckey_scalar, &p, seckey);
secp256k1_pubkey_save(pubkey, &p);
- memczero(pubkey, sizeof(*pubkey), !ret);
+ secp256k1_memczero(pubkey, sizeof(*pubkey), !ret);
secp256k1_scalar_clear(&seckey_scalar);
return ret;
@@ -621,26 +597,26 @@ int secp256k1_ec_pubkey_negate(const secp256k1_context* ctx, secp256k1_pubkey *p
}
-static int secp256k1_ec_seckey_tweak_add_helper(secp256k1_scalar *sec, const unsigned char *tweak) {
+static int secp256k1_ec_seckey_tweak_add_helper(secp256k1_scalar *sec, const unsigned char *tweak32) {
secp256k1_scalar term;
int overflow = 0;
int ret = 0;
- secp256k1_scalar_set_b32(&term, tweak, &overflow);
+ secp256k1_scalar_set_b32(&term, tweak32, &overflow);
ret = (!overflow) & secp256k1_eckey_privkey_tweak_add(sec, &term);
secp256k1_scalar_clear(&term);
return ret;
}
-int secp256k1_ec_seckey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) {
+int secp256k1_ec_seckey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
secp256k1_scalar sec;
int ret = 0;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(seckey != NULL);
- ARG_CHECK(tweak != NULL);
+ ARG_CHECK(tweak32 != NULL);
ret = secp256k1_scalar_set_b32_seckey(&sec, seckey);
- ret &= secp256k1_ec_seckey_tweak_add_helper(&sec, tweak);
+ ret &= secp256k1_ec_seckey_tweak_add_helper(&sec, tweak32);
secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret);
secp256k1_scalar_get_b32(seckey, &sec);
@@ -648,28 +624,27 @@ int secp256k1_ec_seckey_tweak_add(const secp256k1_context* ctx, unsigned char *s
return ret;
}
-int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) {
- return secp256k1_ec_seckey_tweak_add(ctx, seckey, tweak);
+int secp256k1_ec_privkey_tweak_add(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
+ return secp256k1_ec_seckey_tweak_add(ctx, seckey, tweak32);
}
-static int secp256k1_ec_pubkey_tweak_add_helper(const secp256k1_ecmult_context* ecmult_ctx, secp256k1_ge *p, const unsigned char *tweak) {
+static int secp256k1_ec_pubkey_tweak_add_helper(secp256k1_ge *p, const unsigned char *tweak32) {
secp256k1_scalar term;
int overflow = 0;
- secp256k1_scalar_set_b32(&term, tweak, &overflow);
- return !overflow && secp256k1_eckey_pubkey_tweak_add(ecmult_ctx, p, &term);
+ secp256k1_scalar_set_b32(&term, tweak32, &overflow);
+ return !overflow && secp256k1_eckey_pubkey_tweak_add(p, &term);
}
-int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) {
+int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) {
secp256k1_ge p;
int ret = 0;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(pubkey != NULL);
- ARG_CHECK(tweak != NULL);
+ ARG_CHECK(tweak32 != NULL);
ret = secp256k1_pubkey_load(ctx, &p, pubkey);
memset(pubkey, 0, sizeof(*pubkey));
- ret = ret && secp256k1_ec_pubkey_tweak_add_helper(&ctx->ecmult_ctx, &p, tweak);
+ ret = ret && secp256k1_ec_pubkey_tweak_add_helper(&p, tweak32);
if (ret) {
secp256k1_pubkey_save(pubkey, &p);
}
@@ -677,16 +652,16 @@ int secp256k1_ec_pubkey_tweak_add(const secp256k1_context* ctx, secp256k1_pubkey
return ret;
}
-int secp256k1_ec_seckey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) {
+int secp256k1_ec_seckey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
secp256k1_scalar factor;
secp256k1_scalar sec;
int ret = 0;
int overflow = 0;
VERIFY_CHECK(ctx != NULL);
ARG_CHECK(seckey != NULL);
- ARG_CHECK(tweak != NULL);
+ ARG_CHECK(tweak32 != NULL);
- secp256k1_scalar_set_b32(&factor, tweak, &overflow);
+ secp256k1_scalar_set_b32(&factor, tweak32, &overflow);
ret = secp256k1_scalar_set_b32_seckey(&sec, seckey);
ret &= (!overflow) & secp256k1_eckey_privkey_tweak_mul(&sec, &factor);
secp256k1_scalar_cmov(&sec, &secp256k1_scalar_zero, !ret);
@@ -697,25 +672,24 @@ int secp256k1_ec_seckey_tweak_mul(const secp256k1_context* ctx, unsigned char *s
return ret;
}
-int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak) {
- return secp256k1_ec_seckey_tweak_mul(ctx, seckey, tweak);
+int secp256k1_ec_privkey_tweak_mul(const secp256k1_context* ctx, unsigned char *seckey, const unsigned char *tweak32) {
+ return secp256k1_ec_seckey_tweak_mul(ctx, seckey, tweak32);
}
-int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak) {
+int secp256k1_ec_pubkey_tweak_mul(const secp256k1_context* ctx, secp256k1_pubkey *pubkey, const unsigned char *tweak32) {
secp256k1_ge p;
secp256k1_scalar factor;
int ret = 0;
int overflow = 0;
VERIFY_CHECK(ctx != NULL);
- ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx));
ARG_CHECK(pubkey != NULL);
- ARG_CHECK(tweak != NULL);
+ ARG_CHECK(tweak32 != NULL);
- secp256k1_scalar_set_b32(&factor, tweak, &overflow);
+ secp256k1_scalar_set_b32(&factor, tweak32, &overflow);
ret = !overflow && secp256k1_pubkey_load(ctx, &p, pubkey);
memset(pubkey, 0, sizeof(*pubkey));
if (ret) {
- if (secp256k1_eckey_pubkey_tweak_mul(&ctx->ecmult_ctx, &p, &factor)) {
+ if (secp256k1_eckey_pubkey_tweak_mul(&p, &factor)) {
secp256k1_pubkey_save(pubkey, &p);
} else {
ret = 0;
@@ -738,6 +712,7 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *
secp256k1_gej Qj;
secp256k1_ge Q;
+ VERIFY_CHECK(ctx != NULL);
ARG_CHECK(pubnonce != NULL);
memset(pubnonce, 0, sizeof(*pubnonce));
ARG_CHECK(n >= 1);
@@ -746,6 +721,7 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *
secp256k1_gej_set_infinity(&Qj);
for (i = 0; i < n; i++) {
+ ARG_CHECK(pubnonces[i] != NULL);
secp256k1_pubkey_load(ctx, &Q, pubnonces[i]);
secp256k1_gej_add_ge(&Qj, &Qj, &Q);
}
@@ -757,6 +733,19 @@ int secp256k1_ec_pubkey_combine(const secp256k1_context* ctx, secp256k1_pubkey *
return 1;
}
+int secp256k1_tagged_sha256(const secp256k1_context* ctx, unsigned char *hash32, const unsigned char *tag, size_t taglen, const unsigned char *msg, size_t msglen) {
+ secp256k1_sha256 sha;
+ VERIFY_CHECK(ctx != NULL);
+ ARG_CHECK(hash32 != NULL);
+ ARG_CHECK(tag != NULL);
+ ARG_CHECK(msg != NULL);
+
+ secp256k1_sha256_initialize_tagged(&sha, tag, taglen);
+ secp256k1_sha256_write(&sha, msg, msglen);
+ secp256k1_sha256_finalize(&sha, hash32);
+ return 1;
+}
+
#ifdef ENABLE_MODULE_ECDH
# include "modules/ecdh/main_impl.h"
#endif
diff --git a/src/secp256k1/src/selftest.h b/src/secp256k1/src/selftest.h
index 0e37510c1e..52f1b8442e 100644
--- a/src/secp256k1/src/selftest.h
+++ b/src/secp256k1/src/selftest.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2020 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2020 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_SELFTEST_H
#define SECP256K1_SELFTEST_H
diff --git a/src/secp256k1/src/testrand.h b/src/secp256k1/src/testrand.h
index a76003d5b8..667d1867bd 100644
--- a/src/secp256k1/src/testrand.h
+++ b/src/secp256k1/src/testrand.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_TESTRAND_H
#define SECP256K1_TESTRAND_H
diff --git a/src/secp256k1/src/testrand_impl.h b/src/secp256k1/src/testrand_impl.h
index 3392566329..c8d30ef6a8 100644
--- a/src/secp256k1/src/testrand_impl.h
+++ b/src/secp256k1/src/testrand_impl.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_TESTRAND_IMPL_H
#define SECP256K1_TESTRAND_IMPL_H
@@ -127,7 +127,7 @@ static void secp256k1_testrand_init(const char* hexseed) {
pos++;
}
} else {
- FILE *frand = fopen("/dev/urandom", "r");
+ FILE *frand = fopen("/dev/urandom", "rb");
if ((frand == NULL) || fread(&seed16, 1, sizeof(seed16), frand) != sizeof(seed16)) {
uint64_t t = time(NULL) * (uint64_t)1337;
fprintf(stderr, "WARNING: could not read 16 bytes from /dev/urandom; falling back to insecure PRNG\n");
diff --git a/src/secp256k1/src/tests.c b/src/secp256k1/src/tests.c
index bb4b5b4c07..712fc655fa 100644
--- a/src/secp256k1/src/tests.c
+++ b/src/secp256k1/src/tests.c
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#if defined HAVE_CONFIG_H
#include "libsecp256k1-config.h"
@@ -15,22 +15,18 @@
#include <time.h>
#include "secp256k1.c"
-#include "include/secp256k1.h"
-#include "include/secp256k1_preallocated.h"
+#include "../include/secp256k1.h"
+#include "../include/secp256k1_preallocated.h"
#include "testrand_impl.h"
+#include "util.h"
-#ifdef ENABLE_OPENSSL_TESTS
-#include "openssl/bn.h"
-#include "openssl/ec.h"
-#include "openssl/ecdsa.h"
-#include "openssl/obj_mac.h"
-# if OPENSSL_VERSION_NUMBER < 0x10100000L
-void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps) {*pr = sig->r; *ps = sig->s;}
-# endif
-#endif
+#include "../contrib/lax_der_parsing.c"
+#include "../contrib/lax_der_privatekey_parsing.c"
-#include "contrib/lax_der_parsing.c"
-#include "contrib/lax_der_privatekey_parsing.c"
+#include "modinv32_impl.h"
+#ifdef SECP256K1_WIDEMUL_INT128
+#include "modinv64_impl.h"
+#endif
static int count = 64;
static secp256k1_context *ctx = NULL;
@@ -147,10 +143,12 @@ void run_context_tests(int use_prealloc) {
secp256k1_context *sign;
secp256k1_context *vrfy;
secp256k1_context *both;
+ secp256k1_context *sttc;
void *none_prealloc = NULL;
void *sign_prealloc = NULL;
void *vrfy_prealloc = NULL;
void *both_prealloc = NULL;
+ void *sttc_prealloc = NULL;
secp256k1_gej pubj;
secp256k1_ge pub;
@@ -162,26 +160,30 @@ void run_context_tests(int use_prealloc) {
sign_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN));
vrfy_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY));
both_prealloc = malloc(secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY));
+ sttc_prealloc = malloc(secp256k1_context_preallocated_clone_size(secp256k1_context_no_precomp));
CHECK(none_prealloc != NULL);
CHECK(sign_prealloc != NULL);
CHECK(vrfy_prealloc != NULL);
CHECK(both_prealloc != NULL);
+ CHECK(sttc_prealloc != NULL);
none = secp256k1_context_preallocated_create(none_prealloc, SECP256K1_CONTEXT_NONE);
sign = secp256k1_context_preallocated_create(sign_prealloc, SECP256K1_CONTEXT_SIGN);
vrfy = secp256k1_context_preallocated_create(vrfy_prealloc, SECP256K1_CONTEXT_VERIFY);
both = secp256k1_context_preallocated_create(both_prealloc, SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+ sttc = secp256k1_context_preallocated_clone(secp256k1_context_no_precomp, sttc_prealloc);
} else {
none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
sign = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
vrfy = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
both = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+ sttc = secp256k1_context_clone(secp256k1_context_no_precomp);
}
memset(&zero_pubkey, 0, sizeof(zero_pubkey));
ecount = 0;
ecount2 = 10;
- secp256k1_context_set_illegal_callback(vrfy, counting_illegal_callback_fn, &ecount);
+ secp256k1_context_set_illegal_callback(sttc, counting_illegal_callback_fn, &ecount);
secp256k1_context_set_illegal_callback(sign, counting_illegal_callback_fn, &ecount2);
/* set error callback (to a function that still aborts in case malloc() fails in secp256k1_context_clone() below) */
secp256k1_context_set_error_callback(sign, secp256k1_default_illegal_callback_fn, NULL);
@@ -193,6 +195,7 @@ void run_context_tests(int use_prealloc) {
CHECK(secp256k1_context_preallocated_clone_size(sign) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN));
CHECK(secp256k1_context_preallocated_clone_size(vrfy) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_VERIFY));
CHECK(secp256k1_context_preallocated_clone_size(both) == secp256k1_context_preallocated_size(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY));
+ CHECK(secp256k1_context_preallocated_clone_size(sttc) >= sizeof(secp256k1_context));
/*** clone and destroy all of them to make sure cloning was complete ***/
{
@@ -256,46 +259,46 @@ void run_context_tests(int use_prealloc) {
/* Verify context-type checking illegal-argument errors. */
memset(ctmp, 1, 32);
- CHECK(secp256k1_ec_pubkey_create(vrfy, &pubkey, ctmp) == 0);
+ CHECK(secp256k1_ec_pubkey_create(sttc, &pubkey, ctmp) == 0);
CHECK(ecount == 1);
VG_UNDEF(&pubkey, sizeof(pubkey));
CHECK(secp256k1_ec_pubkey_create(sign, &pubkey, ctmp) == 1);
VG_CHECK(&pubkey, sizeof(pubkey));
- CHECK(secp256k1_ecdsa_sign(vrfy, &sig, ctmp, ctmp, NULL, NULL) == 0);
+ CHECK(secp256k1_ecdsa_sign(sttc, &sig, ctmp, ctmp, NULL, NULL) == 0);
CHECK(ecount == 2);
VG_UNDEF(&sig, sizeof(sig));
CHECK(secp256k1_ecdsa_sign(sign, &sig, ctmp, ctmp, NULL, NULL) == 1);
VG_CHECK(&sig, sizeof(sig));
CHECK(ecount2 == 10);
- CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 0);
- CHECK(ecount2 == 11);
- CHECK(secp256k1_ecdsa_verify(vrfy, &sig, ctmp, &pubkey) == 1);
+ CHECK(secp256k1_ecdsa_verify(sign, &sig, ctmp, &pubkey) == 1);
+ CHECK(ecount2 == 10);
+ CHECK(secp256k1_ecdsa_verify(sttc, &sig, ctmp, &pubkey) == 1);
CHECK(ecount == 2);
- CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 0);
- CHECK(ecount2 == 12);
- CHECK(secp256k1_ec_pubkey_tweak_add(vrfy, &pubkey, ctmp) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_add(sign, &pubkey, ctmp) == 1);
+ CHECK(ecount2 == 10);
+ CHECK(secp256k1_ec_pubkey_tweak_add(sttc, &pubkey, ctmp) == 1);
CHECK(ecount == 2);
- CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 0);
- CHECK(ecount2 == 13);
- CHECK(secp256k1_ec_pubkey_negate(vrfy, &pubkey) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_mul(sign, &pubkey, ctmp) == 1);
+ CHECK(ecount2 == 10);
+ CHECK(secp256k1_ec_pubkey_negate(sttc, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_negate(sign, &pubkey) == 1);
CHECK(ecount == 2);
CHECK(secp256k1_ec_pubkey_negate(sign, NULL) == 0);
- CHECK(ecount2 == 14);
- CHECK(secp256k1_ec_pubkey_negate(vrfy, &zero_pubkey) == 0);
+ CHECK(ecount2 == 11);
+ CHECK(secp256k1_ec_pubkey_negate(sttc, &zero_pubkey) == 0);
CHECK(ecount == 3);
- CHECK(secp256k1_ec_pubkey_tweak_mul(vrfy, &pubkey, ctmp) == 1);
+ CHECK(secp256k1_ec_pubkey_tweak_mul(sttc, &pubkey, ctmp) == 1);
CHECK(ecount == 3);
- CHECK(secp256k1_context_randomize(vrfy, ctmp) == 1);
+ CHECK(secp256k1_context_randomize(sttc, ctmp) == 1);
CHECK(ecount == 3);
- CHECK(secp256k1_context_randomize(vrfy, NULL) == 1);
+ CHECK(secp256k1_context_randomize(sttc, NULL) == 1);
CHECK(ecount == 3);
CHECK(secp256k1_context_randomize(sign, ctmp) == 1);
- CHECK(ecount2 == 14);
+ CHECK(ecount2 == 11);
CHECK(secp256k1_context_randomize(sign, NULL) == 1);
- CHECK(ecount2 == 14);
- secp256k1_context_set_illegal_callback(vrfy, NULL, NULL);
+ CHECK(ecount2 == 11);
+ secp256k1_context_set_illegal_callback(sttc, NULL, NULL);
secp256k1_context_set_illegal_callback(sign, NULL, NULL);
/* obtain a working nonce */
@@ -308,8 +311,8 @@ void run_context_tests(int use_prealloc) {
CHECK(secp256k1_ecdsa_sig_sign(&both->ecmult_gen_ctx, &sigr, &sigs, &key, &msg, &nonce, NULL));
/* try verifying */
- CHECK(secp256k1_ecdsa_sig_verify(&vrfy->ecmult_ctx, &sigr, &sigs, &pub, &msg));
- CHECK(secp256k1_ecdsa_sig_verify(&both->ecmult_ctx, &sigr, &sigs, &pub, &msg));
+ CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
+ CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
/* cleanup */
if (use_prealloc) {
@@ -317,15 +320,18 @@ void run_context_tests(int use_prealloc) {
secp256k1_context_preallocated_destroy(sign);
secp256k1_context_preallocated_destroy(vrfy);
secp256k1_context_preallocated_destroy(both);
+ secp256k1_context_preallocated_destroy(sttc);
free(none_prealloc);
free(sign_prealloc);
free(vrfy_prealloc);
free(both_prealloc);
+ free(sttc_prealloc);
} else {
secp256k1_context_destroy(none);
secp256k1_context_destroy(sign);
secp256k1_context_destroy(vrfy);
secp256k1_context_destroy(both);
+ secp256k1_context_destroy(sttc);
}
/* Defined as no-op. */
secp256k1_context_destroy(NULL);
@@ -416,6 +422,25 @@ void run_scratch_tests(void) {
secp256k1_context_destroy(none);
}
+void run_ctz_tests(void) {
+ static const uint32_t b32[] = {1, 0xffffffff, 0x5e56968f, 0xe0d63129};
+ static const uint64_t b64[] = {1, 0xffffffffffffffff, 0xbcd02462139b3fc3, 0x98b5f80c769693ef};
+ int shift;
+ unsigned i;
+ for (i = 0; i < sizeof(b32) / sizeof(b32[0]); ++i) {
+ for (shift = 0; shift < 32; ++shift) {
+ CHECK(secp256k1_ctz32_var_debruijn(b32[i] << shift) == shift);
+ CHECK(secp256k1_ctz32_var(b32[i] << shift) == shift);
+ }
+ }
+ for (i = 0; i < sizeof(b64) / sizeof(b64[0]); ++i) {
+ for (shift = 0; shift < 64; ++shift) {
+ CHECK(secp256k1_ctz64_var_debruijn(b64[i] << shift) == shift);
+ CHECK(secp256k1_ctz64_var(b64[i] << shift) == shift);
+ }
+ }
+}
+
/***** HASH TESTS *****/
void run_sha256_tests(void) {
@@ -539,6 +564,38 @@ void run_rfc6979_hmac_sha256_tests(void) {
secp256k1_rfc6979_hmac_sha256_finalize(&rng);
}
+void run_tagged_sha256_tests(void) {
+ int ecount = 0;
+ secp256k1_context *none = secp256k1_context_create(SECP256K1_CONTEXT_NONE);
+ unsigned char tag[32] = { 0 };
+ unsigned char msg[32] = { 0 };
+ unsigned char hash32[32];
+ unsigned char hash_expected[32] = {
+ 0x04, 0x7A, 0x5E, 0x17, 0xB5, 0x86, 0x47, 0xC1,
+ 0x3C, 0xC6, 0xEB, 0xC0, 0xAA, 0x58, 0x3B, 0x62,
+ 0xFB, 0x16, 0x43, 0x32, 0x68, 0x77, 0x40, 0x6C,
+ 0xE2, 0x76, 0x55, 0x9A, 0x3B, 0xDE, 0x55, 0xB3
+ };
+
+ secp256k1_context_set_illegal_callback(none, counting_illegal_callback_fn, &ecount);
+
+ /* API test */
+ CHECK(secp256k1_tagged_sha256(none, hash32, tag, sizeof(tag), msg, sizeof(msg)) == 1);
+ CHECK(secp256k1_tagged_sha256(none, NULL, tag, sizeof(tag), msg, sizeof(msg)) == 0);
+ CHECK(ecount == 1);
+ CHECK(secp256k1_tagged_sha256(none, hash32, NULL, 0, msg, sizeof(msg)) == 0);
+ CHECK(ecount == 2);
+ CHECK(secp256k1_tagged_sha256(none, hash32, tag, sizeof(tag), NULL, 0) == 0);
+ CHECK(ecount == 3);
+
+ /* Static test vector */
+ memcpy(tag, "tag", 3);
+ memcpy(msg, "msg", 3);
+ CHECK(secp256k1_tagged_sha256(none, hash32, tag, 3, msg, 3) == 1);
+ CHECK(secp256k1_memcmp_var(hash32, hash_expected, sizeof(hash32)) == 0);
+ secp256k1_context_destroy(none);
+}
+
/***** RANDOM TESTS *****/
void test_rand_bits(int rand32, int bits) {
@@ -611,202 +668,924 @@ void run_rand_int(void) {
}
}
-/***** NUM TESTS *****/
+/***** MODINV TESTS *****/
+
+/* Compute the modular inverse of (odd) x mod 2^64. */
+uint64_t modinv2p64(uint64_t x) {
+ /* If w = 1/x mod 2^(2^L), then w*(2 - w*x) = 1/x mod 2^(2^(L+1)). See
+ * Hacker's Delight second edition, Henry S. Warren, Jr., pages 245-247 for
+ * why. Start with L=0, for which it is true for every odd x that
+ * 1/x=1 mod 2. Iterating 6 times gives us 1/x mod 2^64. */
+ int l;
+ uint64_t w = 1;
+ CHECK(x & 1);
+ for (l = 0; l < 6; ++l) w *= (2 - w*x);
+ return w;
+}
-#ifndef USE_NUM_NONE
-void random_num_negate(secp256k1_num *num) {
- if (secp256k1_testrand_bits(1)) {
- secp256k1_num_negate(num);
+/* compute out = (a*b) mod m; if b=NULL, treat b=1.
+ *
+ * Out is a 512-bit number (represented as 32 uint16_t's in LE order). The other
+ * arguments are 256-bit numbers (represented as 16 uint16_t's in LE order). */
+void mulmod256(uint16_t* out, const uint16_t* a, const uint16_t* b, const uint16_t* m) {
+ uint16_t mul[32];
+ uint64_t c = 0;
+ int i, j;
+ int m_bitlen = 0;
+ int mul_bitlen = 0;
+
+ if (b != NULL) {
+ /* Compute the product of a and b, and put it in mul. */
+ for (i = 0; i < 32; ++i) {
+ for (j = i <= 15 ? 0 : i - 15; j <= i && j <= 15; j++) {
+ c += (uint64_t)a[j] * b[i - j];
+ }
+ mul[i] = c & 0xFFFF;
+ c >>= 16;
+ }
+ CHECK(c == 0);
+
+ /* compute the highest set bit in mul */
+ for (i = 511; i >= 0; --i) {
+ if ((mul[i >> 4] >> (i & 15)) & 1) {
+ mul_bitlen = i;
+ break;
+ }
+ }
+ } else {
+ /* if b==NULL, set mul=a. */
+ memcpy(mul, a, 32);
+ memset(mul + 16, 0, 32);
+ /* compute the highest set bit in mul */
+ for (i = 255; i >= 0; --i) {
+ if ((mul[i >> 4] >> (i & 15)) & 1) {
+ mul_bitlen = i;
+ break;
+ }
+ }
+ }
+
+ /* Compute the highest set bit in m. */
+ for (i = 255; i >= 0; --i) {
+ if ((m[i >> 4] >> (i & 15)) & 1) {
+ m_bitlen = i;
+ break;
+ }
}
+
+ /* Try do mul -= m<<i, for i going down to 0, whenever the result is not negative */
+ for (i = mul_bitlen - m_bitlen; i >= 0; --i) {
+ uint16_t mul2[32];
+ int64_t cs;
+
+ /* Compute mul2 = mul - m<<i. */
+ cs = 0; /* accumulator */
+ for (j = 0; j < 32; ++j) { /* j loops over the output limbs in mul2. */
+ /* Compute sub: the 16 bits in m that will be subtracted from mul2[j]. */
+ uint16_t sub = 0;
+ int p;
+ for (p = 0; p < 16; ++p) { /* p loops over the bit positions in mul2[j]. */
+ int bitpos = j * 16 - i + p; /* bitpos is the correspond bit position in m. */
+ if (bitpos >= 0 && bitpos < 256) {
+ sub |= ((m[bitpos >> 4] >> (bitpos & 15)) & 1) << p;
+ }
+ }
+ /* Add mul[j]-sub to accumulator, and shift bottom 16 bits out to mul2[j]. */
+ cs += mul[j];
+ cs -= sub;
+ mul2[j] = (cs & 0xFFFF);
+ cs >>= 16;
+ }
+ /* If remainder of subtraction is 0, set mul = mul2. */
+ if (cs == 0) {
+ memcpy(mul, mul2, sizeof(mul));
+ }
+ }
+ /* Sanity check: test that all limbs higher than m's highest are zero */
+ for (i = (m_bitlen >> 4) + 1; i < 32; ++i) {
+ CHECK(mul[i] == 0);
+ }
+ memcpy(out, mul, 32);
}
-void random_num_order_test(secp256k1_num *num) {
- secp256k1_scalar sc;
- random_scalar_order_test(&sc);
- secp256k1_scalar_get_num(num, &sc);
+/* Convert a 256-bit number represented as 16 uint16_t's to signed30 notation. */
+void uint16_to_signed30(secp256k1_modinv32_signed30* out, const uint16_t* in) {
+ int i;
+ memset(out->v, 0, sizeof(out->v));
+ for (i = 0; i < 256; ++i) {
+ out->v[i / 30] |= (int32_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 30);
+ }
}
-void random_num_order(secp256k1_num *num) {
- secp256k1_scalar sc;
- random_scalar_order(&sc);
- secp256k1_scalar_get_num(num, &sc);
-}
-
-void test_num_negate(void) {
- secp256k1_num n1;
- secp256k1_num n2;
- random_num_order_test(&n1); /* n1 = R */
- random_num_negate(&n1);
- secp256k1_num_copy(&n2, &n1); /* n2 = R */
- secp256k1_num_sub(&n1, &n2, &n1); /* n1 = n2-n1 = 0 */
- CHECK(secp256k1_num_is_zero(&n1));
- secp256k1_num_copy(&n1, &n2); /* n1 = R */
- secp256k1_num_negate(&n1); /* n1 = -R */
- CHECK(!secp256k1_num_is_zero(&n1));
- secp256k1_num_add(&n1, &n2, &n1); /* n1 = n2+n1 = 0 */
- CHECK(secp256k1_num_is_zero(&n1));
- secp256k1_num_copy(&n1, &n2); /* n1 = R */
- secp256k1_num_negate(&n1); /* n1 = -R */
- CHECK(secp256k1_num_is_neg(&n1) != secp256k1_num_is_neg(&n2));
- secp256k1_num_negate(&n1); /* n1 = R */
- CHECK(secp256k1_num_eq(&n1, &n2));
-}
-
-void test_num_add_sub(void) {
+/* Convert a 256-bit number in signed30 notation to a representation as 16 uint16_t's. */
+void signed30_to_uint16(uint16_t* out, const secp256k1_modinv32_signed30* in) {
int i;
- secp256k1_scalar s;
- secp256k1_num n1;
- secp256k1_num n2;
- secp256k1_num n1p2, n2p1, n1m2, n2m1;
- random_num_order_test(&n1); /* n1 = R1 */
- if (secp256k1_testrand_bits(1)) {
- random_num_negate(&n1);
+ memset(out, 0, 32);
+ for (i = 0; i < 256; ++i) {
+ out[i >> 4] |= (((in->v[i / 30]) >> (i % 30)) & 1) << (i & 15);
}
- random_num_order_test(&n2); /* n2 = R2 */
- if (secp256k1_testrand_bits(1)) {
- random_num_negate(&n2);
- }
- secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = R1 + R2 */
- secp256k1_num_add(&n2p1, &n2, &n1); /* n2p1 = R2 + R1 */
- secp256k1_num_sub(&n1m2, &n1, &n2); /* n1m2 = R1 - R2 */
- secp256k1_num_sub(&n2m1, &n2, &n1); /* n2m1 = R2 - R1 */
- CHECK(secp256k1_num_eq(&n1p2, &n2p1));
- CHECK(!secp256k1_num_eq(&n1p2, &n1m2));
- secp256k1_num_negate(&n2m1); /* n2m1 = -R2 + R1 */
- CHECK(secp256k1_num_eq(&n2m1, &n1m2));
- CHECK(!secp256k1_num_eq(&n2m1, &n1));
- secp256k1_num_add(&n2m1, &n2m1, &n2); /* n2m1 = -R2 + R1 + R2 = R1 */
- CHECK(secp256k1_num_eq(&n2m1, &n1));
- CHECK(!secp256k1_num_eq(&n2p1, &n1));
- secp256k1_num_sub(&n2p1, &n2p1, &n2); /* n2p1 = R2 + R1 - R2 = R1 */
- CHECK(secp256k1_num_eq(&n2p1, &n1));
-
- /* check is_one */
- secp256k1_scalar_set_int(&s, 1);
- secp256k1_scalar_get_num(&n1, &s);
- CHECK(secp256k1_num_is_one(&n1));
- /* check that 2^n + 1 is never 1 */
- secp256k1_scalar_get_num(&n2, &s);
- for (i = 0; i < 250; ++i) {
- secp256k1_num_add(&n1, &n1, &n1); /* n1 *= 2 */
- secp256k1_num_add(&n1p2, &n1, &n2); /* n1p2 = n1 + 1 */
- CHECK(!secp256k1_num_is_one(&n1p2));
- }
-}
-
-void test_num_mod(void) {
+}
+
+/* Randomly mutate the sign of limbs in signed30 representation, without changing the value. */
+void mutate_sign_signed30(secp256k1_modinv32_signed30* x) {
int i;
- secp256k1_scalar s;
- secp256k1_num order, n;
+ for (i = 0; i < 16; ++i) {
+ int pos = secp256k1_testrand_int(8);
+ if (x->v[pos] > 0 && x->v[pos + 1] <= 0x3fffffff) {
+ x->v[pos] -= 0x40000000;
+ x->v[pos + 1] += 1;
+ } else if (x->v[pos] < 0 && x->v[pos + 1] >= 0x3fffffff) {
+ x->v[pos] += 0x40000000;
+ x->v[pos + 1] -= 1;
+ }
+ }
+}
- /* check that 0 mod anything is 0 */
- random_scalar_order_test(&s);
- secp256k1_scalar_get_num(&order, &s);
- secp256k1_scalar_set_int(&s, 0);
- secp256k1_scalar_get_num(&n, &s);
- secp256k1_num_mod(&n, &order);
- CHECK(secp256k1_num_is_zero(&n));
-
- /* check that anything mod 1 is 0 */
- secp256k1_scalar_set_int(&s, 1);
- secp256k1_scalar_get_num(&order, &s);
- secp256k1_scalar_get_num(&n, &s);
- secp256k1_num_mod(&n, &order);
- CHECK(secp256k1_num_is_zero(&n));
-
- /* check that increasing the number past 2^256 does not break this */
- random_scalar_order_test(&s);
- secp256k1_scalar_get_num(&n, &s);
- /* multiply by 2^8, which'll test this case with high probability */
- for (i = 0; i < 8; ++i) {
- secp256k1_num_add(&n, &n, &n);
+/* Test secp256k1_modinv32{_var}, using inputs in 16-bit limb format, and returning inverse. */
+void test_modinv32_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) {
+ uint16_t tmp[16];
+ secp256k1_modinv32_signed30 x;
+ secp256k1_modinv32_modinfo m;
+ int i, vartime, nonzero;
+
+ uint16_to_signed30(&x, in);
+ nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4] | x.v[5] | x.v[6] | x.v[7] | x.v[8]) != 0;
+ uint16_to_signed30(&m.modulus, mod);
+ mutate_sign_signed30(&m.modulus);
+
+ /* compute 1/modulus mod 2^30 */
+ m.modulus_inv30 = modinv2p64(m.modulus.v[0]) & 0x3fffffff;
+ CHECK(((m.modulus_inv30 * m.modulus.v[0]) & 0x3fffffff) == 1);
+
+ for (vartime = 0; vartime < 2; ++vartime) {
+ /* compute inverse */
+ (vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m);
+
+ /* produce output */
+ signed30_to_uint16(out, &x);
+
+ /* check if the inverse times the input is 1 (mod m), unless x is 0. */
+ mulmod256(tmp, out, in, mod);
+ CHECK(tmp[0] == nonzero);
+ for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0);
+
+ /* invert again */
+ (vartime ? secp256k1_modinv32_var : secp256k1_modinv32)(&x, &m);
+
+ /* check if the result is equal to the input */
+ signed30_to_uint16(tmp, &x);
+ for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]);
}
- secp256k1_num_mod(&n, &order);
- CHECK(secp256k1_num_is_zero(&n));
}
-void test_num_jacobi(void) {
- secp256k1_scalar sqr;
- secp256k1_scalar small;
- secp256k1_scalar five; /* five is not a quadratic residue */
- secp256k1_num order, n;
+#ifdef SECP256K1_WIDEMUL_INT128
+/* Convert a 256-bit number represented as 16 uint16_t's to signed62 notation. */
+void uint16_to_signed62(secp256k1_modinv64_signed62* out, const uint16_t* in) {
int i;
- /* squares mod 5 are 1, 4 */
- const int jacobi5[10] = { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1 };
+ memset(out->v, 0, sizeof(out->v));
+ for (i = 0; i < 256; ++i) {
+ out->v[i / 62] |= (int64_t)(((in[i >> 4]) >> (i & 15)) & 1) << (i % 62);
+ }
+}
- /* check some small values with 5 as the order */
- secp256k1_scalar_set_int(&five, 5);
- secp256k1_scalar_get_num(&order, &five);
- for (i = 0; i < 10; ++i) {
- secp256k1_scalar_set_int(&small, i);
- secp256k1_scalar_get_num(&n, &small);
- CHECK(secp256k1_num_jacobi(&n, &order) == jacobi5[i]);
+/* Convert a 256-bit number in signed62 notation to a representation as 16 uint16_t's. */
+void signed62_to_uint16(uint16_t* out, const secp256k1_modinv64_signed62* in) {
+ int i;
+ memset(out, 0, 32);
+ for (i = 0; i < 256; ++i) {
+ out[i >> 4] |= (((in->v[i / 62]) >> (i % 62)) & 1) << (i & 15);
}
+}
- /** test large values with 5 as group order */
- secp256k1_scalar_get_num(&order, &five);
- /* we first need a scalar which is not a multiple of 5 */
- do {
- secp256k1_num fiven;
- random_scalar_order_test(&sqr);
- secp256k1_scalar_get_num(&fiven, &five);
- secp256k1_scalar_get_num(&n, &sqr);
- secp256k1_num_mod(&n, &fiven);
- } while (secp256k1_num_is_zero(&n));
- /* next force it to be a residue. 2 is a nonresidue mod 5 so we can
- * just multiply by two, i.e. add the number to itself */
- if (secp256k1_num_jacobi(&n, &order) == -1) {
- secp256k1_num_add(&n, &n, &n);
- }
-
- /* test residue */
- CHECK(secp256k1_num_jacobi(&n, &order) == 1);
- /* test nonresidue */
- secp256k1_num_add(&n, &n, &n);
- CHECK(secp256k1_num_jacobi(&n, &order) == -1);
-
- /** test with secp group order as order */
- secp256k1_scalar_order_get_num(&order);
- random_scalar_order_test(&sqr);
- secp256k1_scalar_sqr(&sqr, &sqr);
- /* test residue */
- secp256k1_scalar_get_num(&n, &sqr);
- CHECK(secp256k1_num_jacobi(&n, &order) == 1);
- /* test nonresidue */
- secp256k1_scalar_mul(&sqr, &sqr, &five);
- secp256k1_scalar_get_num(&n, &sqr);
- CHECK(secp256k1_num_jacobi(&n, &order) == -1);
- /* test multiple of the order*/
- CHECK(secp256k1_num_jacobi(&order, &order) == 0);
-
- /* check one less than the order */
- secp256k1_scalar_set_int(&small, 1);
- secp256k1_scalar_get_num(&n, &small);
- secp256k1_num_sub(&n, &order, &n);
- CHECK(secp256k1_num_jacobi(&n, &order) == 1); /* sage confirms this is 1 */
-}
-
-void run_num_smalltests(void) {
+/* Randomly mutate the sign of limbs in signed62 representation, without changing the value. */
+void mutate_sign_signed62(secp256k1_modinv64_signed62* x) {
+ static const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ int i;
+ for (i = 0; i < 8; ++i) {
+ int pos = secp256k1_testrand_int(4);
+ if (x->v[pos] > 0 && x->v[pos + 1] <= M62) {
+ x->v[pos] -= (M62 + 1);
+ x->v[pos + 1] += 1;
+ } else if (x->v[pos] < 0 && x->v[pos + 1] >= -M62) {
+ x->v[pos] += (M62 + 1);
+ x->v[pos + 1] -= 1;
+ }
+ }
+}
+
+/* Test secp256k1_modinv64{_var}, using inputs in 16-bit limb format, and returning inverse. */
+void test_modinv64_uint16(uint16_t* out, const uint16_t* in, const uint16_t* mod) {
+ static const int64_t M62 = (int64_t)(UINT64_MAX >> 2);
+ uint16_t tmp[16];
+ secp256k1_modinv64_signed62 x;
+ secp256k1_modinv64_modinfo m;
+ int i, vartime, nonzero;
+
+ uint16_to_signed62(&x, in);
+ nonzero = (x.v[0] | x.v[1] | x.v[2] | x.v[3] | x.v[4]) != 0;
+ uint16_to_signed62(&m.modulus, mod);
+ mutate_sign_signed62(&m.modulus);
+
+ /* compute 1/modulus mod 2^62 */
+ m.modulus_inv62 = modinv2p64(m.modulus.v[0]) & M62;
+ CHECK(((m.modulus_inv62 * m.modulus.v[0]) & M62) == 1);
+
+ for (vartime = 0; vartime < 2; ++vartime) {
+ /* compute inverse */
+ (vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m);
+
+ /* produce output */
+ signed62_to_uint16(out, &x);
+
+ /* check if the inverse times the input is 1 (mod m), unless x is 0. */
+ mulmod256(tmp, out, in, mod);
+ CHECK(tmp[0] == nonzero);
+ for (i = 1; i < 16; ++i) CHECK(tmp[i] == 0);
+
+ /* invert again */
+ (vartime ? secp256k1_modinv64_var : secp256k1_modinv64)(&x, &m);
+
+ /* check if the result is equal to the input */
+ signed62_to_uint16(tmp, &x);
+ for (i = 0; i < 16; ++i) CHECK(tmp[i] == in[i]);
+ }
+}
+#endif
+
+/* test if a and b are coprime */
+int coprime(const uint16_t* a, const uint16_t* b) {
+ uint16_t x[16], y[16], t[16];
int i;
- for (i = 0; i < 100*count; i++) {
- test_num_negate();
- test_num_add_sub();
- test_num_mod();
- test_num_jacobi();
+ int iszero;
+ memcpy(x, a, 32);
+ memcpy(y, b, 32);
+
+ /* simple gcd loop: while x!=0, (x,y)=(y%x,x) */
+ while (1) {
+ iszero = 1;
+ for (i = 0; i < 16; ++i) {
+ if (x[i] != 0) {
+ iszero = 0;
+ break;
+ }
+ }
+ if (iszero) break;
+ mulmod256(t, y, NULL, x);
+ memcpy(y, x, 32);
+ memcpy(x, t, 32);
}
+
+ /* return whether y=1 */
+ if (y[0] != 1) return 0;
+ for (i = 1; i < 16; ++i) {
+ if (y[i] != 0) return 0;
+ }
+ return 1;
}
+
+void run_modinv_tests(void) {
+ /* Fixed test cases. Each tuple is (input, modulus, output), each as 16x16 bits in LE order. */
+ static const uint16_t CASES[][3][16] = {
+ /* Test cases triggering edge cases in divsteps */
+
+ /* Test case known to need 713 divsteps */
+ {{0x1513, 0x5389, 0x54e9, 0x2798, 0x1957, 0x66a0, 0x8057, 0x3477,
+ 0x7784, 0x1052, 0x326a, 0x9331, 0x6506, 0xa95c, 0x91f3, 0xfb5e},
+ {0x2bdd, 0x8df4, 0xcc61, 0x481f, 0xdae5, 0x5ca7, 0xf43b, 0x7d54,
+ 0x13d6, 0x469b, 0x2294, 0x20f4, 0xb2a4, 0xa2d1, 0x3ff1, 0xfd4b},
+ {0xffd8, 0xd9a0, 0x456e, 0x81bb, 0xbabd, 0x6cea, 0x6dbd, 0x73ab,
+ 0xbb94, 0x3d3c, 0xdf08, 0x31c4, 0x3e32, 0xc179, 0x2486, 0xb86b}},
+ /* Test case known to need 589 divsteps, reaching delta=-140 and
+ delta=141. */
+ {{0x3fb1, 0x903b, 0x4eb7, 0x4813, 0xd863, 0x26bf, 0xd89f, 0xa8a9,
+ 0x02fe, 0x57c6, 0x554a, 0x4eab, 0x165e, 0x3d61, 0xee1e, 0x456c},
+ {0x9295, 0x823b, 0x5c1f, 0x5386, 0x48e0, 0x02ff, 0x4c2a, 0xa2da,
+ 0xe58f, 0x967c, 0xc97e, 0x3f5a, 0x69fb, 0x52d9, 0x0a86, 0xb4a3},
+ {0x3d30, 0xb893, 0xa809, 0xa7a8, 0x26f5, 0x5b42, 0x55be, 0xf4d0,
+ 0x12c2, 0x7e6a, 0xe41a, 0x90c7, 0xebfa, 0xf920, 0x304e, 0x1419}},
+ /* Test case known to need 650 divsteps, and doing 65 consecutive (f,g/2) steps. */
+ {{0x8583, 0x5058, 0xbeae, 0xeb69, 0x48bc, 0x52bb, 0x6a9d, 0xcc94,
+ 0x2a21, 0x87d5, 0x5b0d, 0x42f6, 0x5b8a, 0x2214, 0xe9d6, 0xa040},
+ {0x7531, 0x27cb, 0x7e53, 0xb739, 0x6a5f, 0x83f5, 0xa45c, 0xcb1d,
+ 0x8a87, 0x1c9c, 0x51d7, 0x851c, 0xb9d8, 0x1fbe, 0xc241, 0xd4a3},
+ {0xcdb4, 0x275c, 0x7d22, 0xa906, 0x0173, 0xc054, 0x7fdf, 0x5005,
+ 0x7fb8, 0x9059, 0xdf51, 0x99df, 0x2654, 0x8f6e, 0x070f, 0xb347}},
+ /* example needing 713 divsteps; delta=-2..3 */
+ {{0xe2e9, 0xee91, 0x4345, 0xe5ad, 0xf3ec, 0x8f42, 0x0364, 0xd5c9,
+ 0xff49, 0xbef5, 0x4544, 0x4c7c, 0xae4b, 0xfd9d, 0xb35b, 0xda9d},
+ {0x36e7, 0x8cca, 0x2ed0, 0x47b3, 0xaca4, 0xb374, 0x7d2a, 0x0772,
+ 0x6bdb, 0xe0a7, 0x900b, 0xfe10, 0x788c, 0x6f22, 0xd909, 0xf298},
+ {0xd8c6, 0xba39, 0x13ed, 0x198c, 0x16c8, 0xb837, 0xa5f2, 0x9797,
+ 0x0113, 0x882a, 0x15b5, 0x324c, 0xabee, 0xe465, 0x8170, 0x85ac}},
+ /* example needing 713 divsteps; delta=-2..3 */
+ {{0xd5b7, 0x2966, 0x040e, 0xf59a, 0x0387, 0xd96d, 0xbfbc, 0xd850,
+ 0x2d96, 0x872a, 0xad81, 0xc03c, 0xbb39, 0xb7fa, 0xd904, 0xef78},
+ {0x6279, 0x4314, 0xfdd3, 0x1568, 0x0982, 0x4d13, 0x625f, 0x010c,
+ 0x22b1, 0x0cc3, 0xf22d, 0x5710, 0x1109, 0x5751, 0x7714, 0xfcf2},
+ {0xdb13, 0x5817, 0x232e, 0xe456, 0xbbbc, 0x6fbe, 0x4572, 0xa358,
+ 0xc76d, 0x928e, 0x0162, 0x5314, 0x8325, 0x5683, 0xe21b, 0xda88}},
+ /* example needing 713 divsteps; delta=-2..3 */
+ {{0xa06f, 0x71ee, 0x3bac, 0x9ebb, 0xdeaa, 0x09ed, 0x1cf7, 0x9ec9,
+ 0x7158, 0x8b72, 0x5d53, 0x5479, 0x5c75, 0xbb66, 0x9125, 0xeccc},
+ {0x2941, 0xd46c, 0x3cd4, 0x4a9d, 0x5c4a, 0x256b, 0xbd6c, 0x9b8e,
+ 0x8fe0, 0x8a14, 0xffe8, 0x2496, 0x618d, 0xa9d7, 0x5018, 0xfb29},
+ {0x437c, 0xbd60, 0x7590, 0x94bb, 0x0095, 0xd35e, 0xd4fe, 0xd6da,
+ 0x0d4e, 0x5342, 0x4cd2, 0x169b, 0x661c, 0x1380, 0xed2d, 0x85c1}},
+ /* example reaching delta=-64..65; 661 divsteps */
+ {{0xfde4, 0x68d6, 0x6c48, 0x7f77, 0x1c78, 0x96de, 0x2fd9, 0xa6c2,
+ 0xbbb5, 0xd319, 0x69cf, 0xd4b3, 0xa321, 0xcda0, 0x172e, 0xe530},
+ {0xd9e3, 0x0f60, 0x3d86, 0xeeab, 0x25ee, 0x9582, 0x2d50, 0xfe16,
+ 0xd4e2, 0xe3ba, 0x94e2, 0x9833, 0x6c5e, 0x8982, 0x13b6, 0xe598},
+ {0xe675, 0xf55a, 0x10f6, 0xabde, 0x5113, 0xecaa, 0x61ae, 0xad9f,
+ 0x0c27, 0xef33, 0x62e5, 0x211d, 0x08fa, 0xa78d, 0xc675, 0x8bae}},
+ /* example reaching delta=-64..65; 661 divsteps */
+ {{0x21bf, 0x52d5, 0x8fd4, 0xaa18, 0x156a, 0x7247, 0xebb8, 0x5717,
+ 0x4eb5, 0x1421, 0xb58f, 0x3b0b, 0x5dff, 0xe533, 0xb369, 0xd28a},
+ {0x9f6b, 0xe463, 0x2563, 0xc74d, 0x6d81, 0x636a, 0x8fc8, 0x7a94,
+ 0x9429, 0x1585, 0xf35e, 0x7ff5, 0xb64f, 0x9720, 0xba74, 0xe108},
+ {0xa5ab, 0xea7b, 0xfe5e, 0x8a85, 0x13be, 0x7934, 0xe8a0, 0xa187,
+ 0x86b5, 0xe477, 0xb9a4, 0x75d7, 0x538f, 0xdd70, 0xc781, 0xb67d}},
+ /* example reaching delta=-64..65; 661 divsteps */
+ {{0xa41a, 0x3e8d, 0xf1f5, 0x9493, 0x868c, 0x5103, 0x2725, 0x3ceb,
+ 0x6032, 0x3624, 0xdc6b, 0x9120, 0xbf4c, 0x8821, 0x91ad, 0xb31a},
+ {0x5c0b, 0xdda5, 0x20f8, 0x32a1, 0xaf73, 0x6ec5, 0x4779, 0x43d6,
+ 0xd454, 0x9573, 0xbf84, 0x5a58, 0xe04e, 0x307e, 0xd1d5, 0xe230},
+ {0xda15, 0xbcd6, 0x7180, 0xabd3, 0x04e6, 0x6986, 0xc0d7, 0x90bb,
+ 0x3a4d, 0x7c95, 0xaaab, 0x9ab3, 0xda34, 0xa7f6, 0x9636, 0x6273}},
+ /* example doing 123 consecutive (f,g/2) steps; 615 divsteps */
+ {{0xb4d6, 0xb38f, 0x00aa, 0xebda, 0xd4c2, 0x70b8, 0x9dad, 0x58ee,
+ 0x68f8, 0x48d3, 0xb5ff, 0xf422, 0x9e46, 0x2437, 0x18d0, 0xd9cc},
+ {0x5c83, 0xfed7, 0x97f5, 0x3f07, 0xcaad, 0x95b1, 0xb4a4, 0xb005,
+ 0x23af, 0xdd27, 0x6c0d, 0x932c, 0xe2b2, 0xe3ae, 0xfb96, 0xdf67},
+ {0x3105, 0x0127, 0xfd48, 0x039b, 0x35f1, 0xbc6f, 0x6c0a, 0xb572,
+ 0xe4df, 0xebad, 0x8edc, 0xb89d, 0x9555, 0x4c26, 0x1fef, 0x997c}},
+ /* example doing 123 consecutive (f,g/2) steps; 614 divsteps */
+ {{0x5138, 0xd474, 0x385f, 0xc964, 0x00f2, 0x6df7, 0x862d, 0xb185,
+ 0xb264, 0xe9e1, 0x466c, 0xf39e, 0xafaf, 0x5f41, 0x47e2, 0xc89d},
+ {0x8607, 0x9c81, 0x46a2, 0x7dcc, 0xcb0c, 0x9325, 0xe149, 0x2bde,
+ 0x6632, 0x2869, 0xa261, 0xb163, 0xccee, 0x22ae, 0x91e0, 0xcfd5},
+ {0x831c, 0xda22, 0xb080, 0xba7a, 0x26e2, 0x54b0, 0x073b, 0x5ea0,
+ 0xed4b, 0xcb3d, 0xbba1, 0xbec8, 0xf2ad, 0xae0d, 0x349b, 0x17d1}},
+ /* example doing 123 consecutive (f,g/2) steps; 614 divsteps */
+ {{0xe9a5, 0xb4ad, 0xd995, 0x9953, 0xcdff, 0x50d7, 0xf715, 0x9dc7,
+ 0x3e28, 0x15a9, 0x95a3, 0x8554, 0x5b5e, 0xad1d, 0x6d57, 0x3d50},
+ {0x3ad9, 0xbd60, 0x5cc7, 0x6b91, 0xadeb, 0x71f6, 0x7cc4, 0xa58a,
+ 0x2cce, 0xf17c, 0x38c9, 0x97ed, 0x65fb, 0x3fa6, 0xa6bc, 0xeb24},
+ {0xf96c, 0x1963, 0x8151, 0xa0cc, 0x299b, 0xf277, 0x001a, 0x16bb,
+ 0xfd2e, 0x532d, 0x0410, 0xe117, 0x6b00, 0x44ec, 0xca6a, 0x1745}},
+ /* example doing 446 (f,g/2) steps; 523 divsteps */
+ {{0x3758, 0xa56c, 0xe41e, 0x4e47, 0x0975, 0xa82b, 0x107c, 0x89cf,
+ 0x2093, 0x5a0c, 0xda37, 0xe007, 0x6074, 0x4f68, 0x2f5a, 0xbb8a},
+ {0x4beb, 0xa40f, 0x2c42, 0xd9d6, 0x97e8, 0xca7c, 0xd395, 0x894f,
+ 0x1f50, 0x8067, 0xa233, 0xb850, 0x1746, 0x1706, 0xbcda, 0xdf32},
+ {0x762a, 0xceda, 0x4c45, 0x1ca0, 0x8c37, 0xd8c5, 0xef57, 0x7a2c,
+ 0x6e98, 0xe38a, 0xc50e, 0x2ca9, 0xcb85, 0x24d5, 0xc29c, 0x61f6}},
+ /* example doing 446 (f,g/2) steps; 523 divsteps */
+ {{0x6f38, 0x74ad, 0x7332, 0x4073, 0x6521, 0xb876, 0xa370, 0xa6bd,
+ 0xcea5, 0xbd06, 0x969f, 0x77c6, 0x1e69, 0x7c49, 0x7d51, 0xb6e7},
+ {0x3f27, 0x4be4, 0xd81e, 0x1396, 0xb21f, 0x92aa, 0x6dc3, 0x6283,
+ 0x6ada, 0x3ca2, 0xc1e5, 0x8b9b, 0xd705, 0x5598, 0x8ba1, 0xe087},
+ {0x6a22, 0xe834, 0xbc8d, 0xcee9, 0x42fc, 0xfc77, 0x9c45, 0x1ca8,
+ 0xeb66, 0xed74, 0xaaf9, 0xe75f, 0xfe77, 0x46d2, 0x179b, 0xbf3e}},
+ /* example doing 336 (f,(f+g)/2) steps; 693 divsteps */
+ {{0x7ea7, 0x444e, 0x84ea, 0xc447, 0x7c1f, 0xab97, 0x3de6, 0x5878,
+ 0x4e8b, 0xc017, 0x03e0, 0xdc40, 0xbbd0, 0x74ce, 0x0169, 0x7ab5},
+ {0x4023, 0x154f, 0xfbe4, 0x8195, 0xfda0, 0xef54, 0x9e9a, 0xc703,
+ 0x2803, 0xf760, 0x6302, 0xed5b, 0x7157, 0x6456, 0xdd7d, 0xf14b},
+ {0xb6fb, 0xe3b3, 0x0733, 0xa77e, 0x44c5, 0x3003, 0xc937, 0xdd4d,
+ 0x5355, 0x14e9, 0x184e, 0xcefe, 0xe6b5, 0xf2e0, 0x0a28, 0x5b74}},
+ /* example doing 336 (f,(f+g)/2) steps; 687 divsteps */
+ {{0xa893, 0xb5f4, 0x1ede, 0xa316, 0x242c, 0xbdcc, 0xb017, 0x0836,
+ 0x3a37, 0x27fb, 0xfb85, 0x251e, 0xa189, 0xb15d, 0xa4b8, 0xc24c},
+ {0xb0b7, 0x57ba, 0xbb6d, 0x9177, 0xc896, 0xc7f2, 0x43b4, 0x85a6,
+ 0xe6c4, 0xe50e, 0x3109, 0x7ca5, 0xd73d, 0x13ff, 0x0c3d, 0xcd62},
+ {0x48ca, 0xdb34, 0xe347, 0x2cef, 0x4466, 0x10fb, 0x7ee1, 0x6344,
+ 0x4308, 0x966d, 0xd4d1, 0xb099, 0x994f, 0xd025, 0x2187, 0x5866}},
+ /* example doing 267 (g,(g-f)/2) steps; 678 divsteps */
+ {{0x0775, 0x1754, 0x01f6, 0xdf37, 0xc0be, 0x8197, 0x072f, 0x6cf5,
+ 0x8b36, 0x8069, 0x5590, 0xb92d, 0x6084, 0x47a4, 0x23fe, 0xddd5},
+ {0x8e1b, 0xda37, 0x27d9, 0x312e, 0x3a2f, 0xef6d, 0xd9eb, 0x8153,
+ 0xdcba, 0x9fa3, 0x9f80, 0xead5, 0x134d, 0x2ebb, 0x5ec0, 0xe032},
+ {0x1cb6, 0x5a61, 0x1bed, 0x77d6, 0xd5d1, 0x7498, 0xef33, 0x2dd2,
+ 0x1089, 0xedbd, 0x6958, 0x16ae, 0x336c, 0x45e6, 0x4361, 0xbadc}},
+ /* example doing 267 (g,(g-f)/2) steps; 676 divsteps */
+ {{0x0207, 0xf948, 0xc430, 0xf36b, 0xf0a7, 0x5d36, 0x751f, 0x132c,
+ 0x6f25, 0xa630, 0xca1f, 0xc967, 0xaf9c, 0x34e7, 0xa38f, 0xbe9f},
+ {0x5fb9, 0x7321, 0x6561, 0x5fed, 0x54ec, 0x9c3a, 0xee0e, 0x6717,
+ 0x49af, 0xb896, 0xf4f5, 0x451c, 0x722a, 0xf116, 0x64a9, 0xcf0b},
+ {0xf4d7, 0xdb47, 0xfef2, 0x4806, 0x4cb8, 0x18c7, 0xd9a7, 0x4951,
+ 0x14d8, 0x5c3a, 0xd22d, 0xd7b2, 0x750c, 0x3de7, 0x8b4a, 0x19aa}},
+
+ /* Test cases triggering edge cases in divsteps variant starting with delta=1/2 */
+
+ /* example needing 590 divsteps; delta=-5/2..7/2 */
+ {{0x9118, 0xb640, 0x53d7, 0x30ab, 0x2a23, 0xd907, 0x9323, 0x5b3a,
+ 0xb6d4, 0x538a, 0x7637, 0xfe97, 0xfd05, 0x3cc0, 0x453a, 0xfb7e},
+ {0x6983, 0x4f75, 0x4ad1, 0x48ad, 0xb2d9, 0x521d, 0x3dbc, 0x9cc0,
+ 0x4b60, 0x0ac6, 0xd3be, 0x0fb6, 0xd305, 0x3895, 0x2da5, 0xfdf8},
+ {0xcec1, 0x33ac, 0xa801, 0x8194, 0xe36c, 0x65ef, 0x103b, 0xca54,
+ 0xfa9b, 0xb41d, 0x9b52, 0xb6f7, 0xa611, 0x84aa, 0x3493, 0xbf54}},
+ /* example needing 590 divsteps; delta=-3/2..5/2 */
+ {{0xb5f2, 0x42d0, 0x35e8, 0x8ca0, 0x4b62, 0x6e1d, 0xbdf3, 0x890e,
+ 0x8c82, 0x23d8, 0xc79a, 0xc8e8, 0x789e, 0x353d, 0x9766, 0xea9d},
+ {0x6fa1, 0xacba, 0x4b7a, 0x5de1, 0x95d0, 0xc845, 0xebbf, 0x6f5a,
+ 0x30cf, 0x52db, 0x69b7, 0xe278, 0x4b15, 0x8411, 0x2ab2, 0xf3e7},
+ {0xf12c, 0x9d6d, 0x95fa, 0x1878, 0x9f13, 0x4fb5, 0x3c8b, 0xa451,
+ 0x7182, 0xc4b6, 0x7e2a, 0x7bb7, 0x6e0e, 0x5b68, 0xde55, 0x9927}},
+ /* example needing 590 divsteps; delta=-3/2..5/2 */
+ {{0x229c, 0x4ef8, 0x1e93, 0xe5dc, 0xcde5, 0x6d62, 0x263b, 0xad11,
+ 0xced0, 0x88ff, 0xae8e, 0x3183, 0x11d2, 0xa50b, 0x350d, 0xeb40},
+ {0x3157, 0xe2ea, 0x8a02, 0x0aa3, 0x5ae1, 0xb26c, 0xea27, 0x6805,
+ 0x87e2, 0x9461, 0x37c1, 0x2f8d, 0x85d2, 0x77a8, 0xf805, 0xeec9},
+ {0x6f4e, 0x2748, 0xf7e5, 0xd8d3, 0xabe2, 0x7270, 0xc4e0, 0xedc7,
+ 0xf196, 0x78ca, 0x9139, 0xd8af, 0x72c6, 0xaf2f, 0x85d2, 0x6cd3}},
+ /* example needing 590 divsteps; delta=-5/2..7/2 */
+ {{0xdce8, 0xf1fe, 0x6708, 0x021e, 0xf1ca, 0xd609, 0x5443, 0x85ce,
+ 0x7a05, 0x8f9c, 0x90c3, 0x52e7, 0x8e1d, 0x97b8, 0xc0bf, 0xf2a1},
+ {0xbd3d, 0xed11, 0x1625, 0xb4c5, 0x844c, 0xa413, 0x2569, 0xb9ba,
+ 0xcd35, 0xff84, 0xcd6e, 0x7f0b, 0x7d5d, 0x10df, 0x3efe, 0xfbe5},
+ {0xa9dd, 0xafef, 0xb1b7, 0x4c8d, 0x50e4, 0xafbf, 0x2d5a, 0xb27c,
+ 0x0653, 0x66b6, 0x5d36, 0x4694, 0x7e35, 0xc47c, 0x857f, 0x32c5}},
+ /* example needing 590 divsteps; delta=-3/2..5/2 */
+ {{0x7902, 0xc9f8, 0x926b, 0xaaeb, 0x90f8, 0x1c89, 0xcce3, 0x96b7,
+ 0x28b2, 0x87a2, 0x136d, 0x695a, 0xa8df, 0x9061, 0x9e31, 0xee82},
+ {0xd3a9, 0x3c02, 0x818c, 0x6b81, 0x34b3, 0xebbb, 0xe2c8, 0x7712,
+ 0xbfd6, 0x8248, 0xa6f4, 0xba6f, 0x03bb, 0xfb54, 0x7575, 0xfe89},
+ {0x8246, 0x0d63, 0x478e, 0xf946, 0xf393, 0x0451, 0x08c2, 0x5919,
+ 0x5fd6, 0x4c61, 0xbeb7, 0x9a15, 0x30e1, 0x55fc, 0x6a01, 0x3724}},
+ /* example reaching delta=-127/2..129/2; 571 divsteps */
+ {{0x3eff, 0x926a, 0x77f5, 0x1fff, 0x1a5b, 0xf3ef, 0xf64b, 0x8681,
+ 0xf800, 0xf9bc, 0x761d, 0xe268, 0x62b0, 0xa032, 0xba9c, 0xbe56},
+ {0xb8f9, 0x00e7, 0x47b7, 0xdffc, 0xfd9d, 0x5abb, 0xa19b, 0x1868,
+ 0x31fd, 0x3b29, 0x3674, 0x5449, 0xf54d, 0x1d19, 0x6ac7, 0xff6f},
+ {0xf1d7, 0x3551, 0x5682, 0x9adf, 0xe8aa, 0x19a5, 0x8340, 0x71db,
+ 0xb7ab, 0x4cfd, 0xf661, 0x632c, 0xc27e, 0xd3c6, 0xdf42, 0xd306}},
+ /* example reaching delta=-127/2..129/2; 571 divsteps */
+ {{0x0000, 0x0000, 0x0000, 0x0000, 0x3aff, 0x2ed7, 0xf2e0, 0xabc7,
+ 0x8aee, 0x166e, 0x7ed0, 0x9ac7, 0x714a, 0xb9c5, 0x4d58, 0xad6c},
+ {0x9cf9, 0x47e2, 0xa421, 0xb277, 0xffc2, 0x2747, 0x6486, 0x94c1,
+ 0x1d99, 0xd49b, 0x1096, 0x991a, 0xe986, 0xae02, 0xe89b, 0xea36},
+ {0x1fb4, 0x98d8, 0x19b7, 0x80e9, 0xcdac, 0xaa5a, 0xf1e6, 0x0074,
+ 0xe393, 0xed8b, 0x8d5c, 0xe17d, 0x81b3, 0xc16d, 0x54d3, 0x9be3}},
+ /* example reaching delta=-127/2..129/2; 571 divsteps */
+ {{0xd047, 0x7e36, 0x3157, 0x7ab6, 0xb4d9, 0x8dae, 0x7534, 0x4f5d,
+ 0x489e, 0xa8ab, 0x8a3d, 0xd52c, 0x62af, 0xa032, 0xba9c, 0xbe56},
+ {0xb1f1, 0x737f, 0x5964, 0x5afb, 0x3712, 0x8ef9, 0x19f7, 0x9669,
+ 0x664d, 0x03ad, 0xc352, 0xf7a5, 0xf545, 0x1d19, 0x6ac7, 0xff6f},
+ {0xa834, 0x5256, 0x27bc, 0x33bd, 0xba11, 0x5a7b, 0x791e, 0xe6c0,
+ 0x9ac4, 0x9370, 0x1130, 0x28b4, 0x2b2e, 0x231b, 0x082a, 0x796e}},
+ /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */
+ {{0x6ab1, 0x6ea0, 0x1a99, 0xe0c2, 0xdd45, 0x645d, 0x8dbc, 0x466a,
+ 0xfa64, 0x4289, 0xd3f7, 0xfc8f, 0x2894, 0xe3c5, 0xa008, 0xcc14},
+ {0xc75f, 0xc083, 0x4cc2, 0x64f2, 0x2aff, 0x4c12, 0x8461, 0xc4ae,
+ 0xbbfa, 0xb336, 0xe4b2, 0x3ac5, 0x2c22, 0xf56c, 0x5381, 0xe943},
+ {0xcd80, 0x760d, 0x4395, 0xb3a6, 0xd497, 0xf583, 0x82bd, 0x1daa,
+ 0xbe92, 0x2613, 0xfdfb, 0x869b, 0x0425, 0xa333, 0x7056, 0xc9c5}},
+ /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */
+ {{0x71d4, 0x64df, 0xec4f, 0x74d8, 0x7e0c, 0x40d3, 0x7073, 0x4cc8,
+ 0x2a2a, 0xb1ff, 0x8518, 0x6513, 0xb0ea, 0x640a, 0x62d9, 0xd5f4},
+ {0xdc75, 0xd937, 0x3b13, 0x1d36, 0xdf83, 0xd034, 0x1c1c, 0x4332,
+ 0x4cc3, 0xeeec, 0x7d94, 0x6771, 0x3384, 0x74b0, 0x947d, 0xf2c4},
+ {0x0a82, 0x37a4, 0x12d5, 0xec97, 0x972c, 0xe6bf, 0xc348, 0xa0a9,
+ 0xc50c, 0xdc7c, 0xae30, 0x19d1, 0x0fca, 0x35e1, 0xd6f6, 0x81ee}},
+ /* example doing 123 consecutive (f,g/2) steps; 554 divsteps */
+ {{0xa6b1, 0xabc5, 0x5bbc, 0x7f65, 0xdd32, 0xaa73, 0xf5a3, 0x1982,
+ 0xced4, 0xe949, 0x0fd6, 0x2bc4, 0x2bd7, 0xe3c5, 0xa008, 0xcc14},
+ {0x4b5f, 0x8f96, 0xa375, 0xfbcf, 0x1c7d, 0xf1ec, 0x03f5, 0xb35d,
+ 0xb999, 0xdb1f, 0xc9a1, 0xb4c7, 0x1dd5, 0xf56c, 0x5381, 0xe943},
+ {0xaa3d, 0x38b9, 0xf17d, 0xeed9, 0x9988, 0x69ee, 0xeb88, 0x1495,
+ 0x203f, 0x18c8, 0x82b7, 0xdcb2, 0x34a7, 0x6b00, 0x6998, 0x589a}},
+ /* example doing 453 (f,g/2) steps; 514 divsteps */
+ {{0xa478, 0xe60d, 0x3244, 0x60e6, 0xada3, 0xfe50, 0xb6b1, 0x2eae,
+ 0xd0ef, 0xa7b1, 0xef63, 0x05c0, 0xe213, 0x443e, 0x4427, 0x2448},
+ {0x258f, 0xf9ef, 0xe02b, 0x92dd, 0xd7f3, 0x252b, 0xa503, 0x9089,
+ 0xedff, 0x96c1, 0xfe3a, 0x3a39, 0x198a, 0x981d, 0x0627, 0xedb7},
+ {0x595a, 0x45be, 0x8fb0, 0x2265, 0xc210, 0x02b8, 0xdce9, 0xe241,
+ 0xcab6, 0xbf0d, 0x0049, 0x8d9a, 0x2f51, 0xae54, 0x5785, 0xb411}},
+ /* example doing 453 (f,g/2) steps; 514 divsteps */
+ {{0x48f0, 0x7db3, 0xdafe, 0x1c92, 0x5912, 0xe11a, 0xab52, 0xede1,
+ 0x3182, 0x8980, 0x5d2b, 0x9b5b, 0x8718, 0xda27, 0x1683, 0x1de2},
+ {0x168f, 0x6f36, 0xce7a, 0xf435, 0x19d4, 0xda5e, 0x2351, 0x9af5,
+ 0xb003, 0x0ef5, 0x3b4c, 0xecec, 0xa9f0, 0x78e1, 0xdfef, 0xe823},
+ {0x5f55, 0xfdcc, 0xb233, 0x2914, 0x84f0, 0x97d1, 0x9cf4, 0x2159,
+ 0xbf56, 0xb79c, 0x17a3, 0x7cef, 0xd5de, 0x34f0, 0x5311, 0x4c54}},
+ /* example doing 510 (f,(f+g)/2) steps; 512 divsteps */
+ {{0x2789, 0x2e04, 0x6e0e, 0xb6cd, 0xe4de, 0x4dbf, 0x228d, 0x7877,
+ 0xc335, 0x806b, 0x38cd, 0x8049, 0xa73b, 0xcfa2, 0x82f7, 0x9e19},
+ {0xc08d, 0xb99d, 0xb8f3, 0x663d, 0xbbb3, 0x1284, 0x1485, 0x1d49,
+ 0xc98f, 0x9e78, 0x1588, 0x11e3, 0xd91a, 0xa2c7, 0xfff1, 0xc7b9},
+ {0x1e1f, 0x411d, 0x7c49, 0x0d03, 0xe789, 0x2f8e, 0x5d55, 0xa95e,
+ 0x826e, 0x8de5, 0x52a0, 0x1abc, 0x4cd7, 0xd13a, 0x4395, 0x63e1}},
+ /* example doing 510 (f,(f+g)/2) steps; 512 divsteps */
+ {{0xd5a1, 0xf786, 0x555c, 0xb14b, 0x44ae, 0x535f, 0x4a49, 0xffc3,
+ 0xf497, 0x70d1, 0x57c8, 0xa933, 0xc85a, 0x1910, 0x75bf, 0x960b},
+ {0xfe53, 0x5058, 0x496d, 0xfdff, 0x6fb8, 0x4100, 0x92bd, 0xe0c4,
+ 0xda89, 0xe0a4, 0x841b, 0x43d4, 0xa388, 0x957f, 0x99ca, 0x9abf},
+ {0xe530, 0x05bc, 0xfeec, 0xfc7e, 0xbcd3, 0x1239, 0x54cb, 0x7042,
+ 0xbccb, 0x139e, 0x9076, 0x0203, 0x6068, 0x90c7, 0x1ddf, 0x488d}},
+ /* example doing 228 (g,(g-f)/2) steps; 538 divsteps */
+ {{0x9488, 0xe54b, 0x0e43, 0x81d2, 0x06e7, 0x4b66, 0x36d0, 0x53d6,
+ 0x2b68, 0x22ec, 0x3fa9, 0xc1a7, 0x9ad2, 0xa596, 0xb3ac, 0xdf42},
+ {0xe31f, 0x0b28, 0x5f3b, 0xc1ff, 0x344c, 0xbf5f, 0xd2ec, 0x2936,
+ 0x9995, 0xdeb2, 0xae6c, 0x2852, 0xa2c6, 0xb306, 0x8120, 0xe305},
+ {0xa56e, 0xfb98, 0x1537, 0x4d85, 0x619e, 0x866c, 0x3cd4, 0x779a,
+ 0xdd66, 0xa80d, 0xdc2f, 0xcae4, 0xc74c, 0x5175, 0xa65d, 0x605e}},
+ /* example doing 228 (g,(g-f)/2) steps; 537 divsteps */
+ {{0x8cd5, 0x376d, 0xd01b, 0x7176, 0x19ef, 0xcf09, 0x8403, 0x5e52,
+ 0x83c1, 0x44de, 0xb91e, 0xb33d, 0xe15c, 0x51e7, 0xbad8, 0x6359},
+ {0x3b75, 0xf812, 0x5f9e, 0xa04e, 0x92d3, 0x226e, 0x540e, 0x7c9a,
+ 0x31c6, 0x46d2, 0x0b7b, 0xdb4a, 0xe662, 0x4950, 0x0265, 0xf76f},
+ {0x09ed, 0x692f, 0xe8f1, 0x3482, 0xab54, 0x36b4, 0x8442, 0x6ae9,
+ 0x4329, 0x6505, 0x183b, 0x1c1d, 0x482d, 0x7d63, 0xb44f, 0xcc09}},
+
+ /* Test cases with the group order as modulus. */
+
+ /* Test case with the group order as modulus, needing 635 divsteps. */
+ {{0x95ed, 0x6c01, 0xd113, 0x5ff1, 0xd7d0, 0x29cc, 0x5817, 0x6120,
+ 0xca8e, 0xaad1, 0x25ae, 0x8e84, 0x9af6, 0x30bf, 0xf0ed, 0x1686},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x1631, 0xbf4a, 0x286a, 0x2716, 0x469f, 0x2ac8, 0x1312, 0xe9bc,
+ 0x04f4, 0x304b, 0x9931, 0x113b, 0xd932, 0xc8f4, 0x0d0d, 0x01a1}},
+ /* example with group size as modulus needing 631 divsteps */
+ {{0x85ed, 0xc284, 0x9608, 0x3c56, 0x19b6, 0xbb5b, 0x2850, 0xdab7,
+ 0xa7f5, 0xe9ab, 0x06a4, 0x5bbb, 0x1135, 0xa186, 0xc424, 0xc68b},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x8479, 0x450a, 0x8fa3, 0xde05, 0xb2f5, 0x7793, 0x7269, 0xbabb,
+ 0xc3b3, 0xd49b, 0x3377, 0x03c6, 0xe694, 0xc760, 0xd3cb, 0x2811}},
+ /* example with group size as modulus needing 565 divsteps starting at delta=1/2 */
+ {{0x8432, 0x5ceb, 0xa847, 0x6f1e, 0x51dd, 0x535a, 0x6ddc, 0x70ce,
+ 0x6e70, 0xc1f6, 0x18f2, 0x2a7e, 0xc8e7, 0x39f8, 0x7e96, 0xebbf},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x257e, 0x449f, 0x689f, 0x89aa, 0x3989, 0xb661, 0x376c, 0x1e32,
+ 0x654c, 0xee2e, 0xf4e2, 0x33c8, 0x3f2f, 0x9716, 0x6046, 0xcaa3}},
+ /* Test case with the group size as modulus, needing 981 divsteps with
+ broken eta handling. */
+ {{0xfeb9, 0xb877, 0xee41, 0x7fa3, 0x87da, 0x94c4, 0x9d04, 0xc5ae,
+ 0x5708, 0x0994, 0xfc79, 0x0916, 0xbf32, 0x3ad8, 0xe11c, 0x5ca2},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0f12, 0x075e, 0xce1c, 0x6f92, 0xc80f, 0xca92, 0x9a04, 0x6126,
+ 0x4b6c, 0x57d6, 0xca31, 0x97f3, 0x1f99, 0xf4fd, 0xda4d, 0x42ce}},
+ /* Test case with the group size as modulus, input = 0. */
+ {{0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the group size as modulus, input = 1. */
+ {{0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the group size as modulus, input = 2. */
+ {{0x0002, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x20a1, 0x681b, 0x2f46, 0xdfe9, 0x501d, 0x57a4, 0x6e73, 0x5d57,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff}},
+ /* Test case with the group size as modulus, input = group - 1. */
+ {{0x4140, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x4141, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x4140, 0xd036, 0x5e8c, 0xbfd2, 0xa03b, 0xaf48, 0xdce6, 0xbaae,
+ 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}},
+
+ /* Test cases with the field size as modulus. */
+
+ /* Test case with the field size as modulus, needing 637 divsteps. */
+ {{0x9ec3, 0x1919, 0xca84, 0x7c11, 0xf996, 0x06f3, 0x5408, 0x6688,
+ 0x1320, 0xdb8a, 0x632a, 0x0dcb, 0x8a84, 0x6bee, 0x9c95, 0xe34e},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x18e5, 0x19b6, 0xdf92, 0x1aaa, 0x09fb, 0x8a3f, 0x52b0, 0x8701,
+ 0xac0c, 0x2582, 0xda44, 0x9bcc, 0x6828, 0x1c53, 0xbd8f, 0xbd2c}},
+ /* example with field size as modulus needing 637 divsteps */
+ {{0xaec3, 0xa7cf, 0x2f2d, 0x0693, 0x5ad5, 0xa8ff, 0x7ec7, 0x30ff,
+ 0x0c8b, 0xc242, 0xcab2, 0x063a, 0xf86e, 0x6057, 0x9cbd, 0xf6d8},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0310, 0x579d, 0xcb38, 0x9030, 0x3ded, 0x9bb9, 0x1234, 0x63ce,
+ 0x0c63, 0x8e3d, 0xacfe, 0x3c20, 0xdc85, 0xf859, 0x919e, 0x1d45}},
+ /* example with field size as modulus needing 564 divsteps starting at delta=1/2 */
+ {{0x63ae, 0x8d10, 0x0071, 0xdb5c, 0xb454, 0x78d1, 0x744a, 0x5f8e,
+ 0xe4d8, 0x87b1, 0x8e62, 0x9590, 0xcede, 0xa070, 0x36b4, 0x7f6f},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfdc8, 0xe8d5, 0xbe15, 0x9f86, 0xa5fe, 0xf18e, 0xa7ff, 0xd291,
+ 0xf4c2, 0x9c87, 0xf150, 0x073e, 0x69b8, 0xf7c4, 0xee4b, 0xc7e6}},
+ /* Test case with the field size as modulus, needing 935 divsteps with
+ broken eta handling. */
+ {{0x1b37, 0xbdc3, 0x8bcd, 0x25e3, 0x1eae, 0x567d, 0x30b6, 0xf0d8,
+ 0x9277, 0x0cf8, 0x9c2e, 0xecd7, 0x631d, 0xe38f, 0xd4f8, 0x5c93},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x1622, 0xe05b, 0xe880, 0x7de9, 0x3e45, 0xb682, 0xee6c, 0x67ed,
+ 0xa179, 0x15db, 0x6b0d, 0xa656, 0x7ccb, 0x8ef7, 0xa2ff, 0xe279}},
+ /* Test case with the field size as modulus, input = 0. */
+ {{0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the field size as modulus, input = 1. */
+ {{0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0x0001, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000}},
+ /* Test case with the field size as modulus, input = 2. */
+ {{0x0002, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfe18, 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff}},
+ /* Test case with the field size as modulus, input = field - 1. */
+ {{0xfc2e, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff},
+ {0xfc2e, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff}},
+
+ /* Selected from a large number of random inputs to reach small/large
+ * d/e values in various configurations. */
+ {{0x3a08, 0x23e1, 0x4d8c, 0xe606, 0x3263, 0x67af, 0x9bf1, 0x9d70,
+ 0xf5fd, 0x12e4, 0x03c8, 0xb9ca, 0xe847, 0x8c5d, 0x6322, 0xbd30},
+ {0x8359, 0x59dd, 0x1831, 0x7c1a, 0x1e83, 0xaee1, 0x770d, 0xcea8,
+ 0xfbb1, 0xeed6, 0x10b5, 0xe2c6, 0x36ea, 0xee17, 0xe32c, 0xffff},
+ {0x1727, 0x0f36, 0x6f85, 0x5d0c, 0xca6c, 0x3072, 0x9628, 0x5842,
+ 0xcb44, 0x7c2b, 0xca4f, 0x62e5, 0x29b1, 0x6ffd, 0x9055, 0xc196}},
+ {{0x905d, 0x41c8, 0xa2ff, 0x295b, 0x72bb, 0x4679, 0x6d01, 0x2c98,
+ 0xb3e0, 0xc537, 0xa310, 0xe07e, 0xe72f, 0x4999, 0x1148, 0xf65e},
+ {0x5b41, 0x4239, 0x3c37, 0x5130, 0x30e3, 0xff35, 0xc51f, 0x1a43,
+ 0xdb23, 0x13cf, 0x9f49, 0xf70c, 0x5e70, 0xd411, 0x3005, 0xf8c6},
+ {0xc30e, 0x68f0, 0x201a, 0xe10c, 0x864a, 0x6243, 0xe946, 0x43ae,
+ 0xf3f1, 0x52dc, 0x1f7f, 0x50d4, 0x2797, 0x064c, 0x5ca4, 0x90e3}},
+ {{0xf1b5, 0xc6e5, 0xd2c4, 0xff95, 0x27c5, 0x0c92, 0x5d19, 0x7ae5,
+ 0x4fbe, 0x5438, 0x99e1, 0x880d, 0xd892, 0xa05c, 0x6ffd, 0x7eac},
+ {0x2153, 0xcc9d, 0xfc6c, 0x8358, 0x49a1, 0x01e2, 0xcef0, 0x4969,
+ 0xd69a, 0x8cef, 0xf5b2, 0xfd95, 0xdcc2, 0x71f4, 0x6ae2, 0xceeb},
+ {0x9b2e, 0xcdc6, 0x0a5c, 0x7317, 0x9084, 0xe228, 0x56cf, 0xd512,
+ 0x628a, 0xce21, 0x3473, 0x4e13, 0x8823, 0x1ed0, 0x34d0, 0xbfa3}},
+ {{0x5bae, 0x53e5, 0x5f4d, 0x21ca, 0xb875, 0x8ecf, 0x9aa6, 0xbe3c,
+ 0x9f96, 0x7b82, 0x375d, 0x4d3e, 0x491c, 0xb1eb, 0x04c9, 0xb6c8},
+ {0xfcfd, 0x10b7, 0x73b2, 0xd23b, 0xa357, 0x67da, 0x0d9f, 0x8702,
+ 0xa037, 0xff8e, 0x0e8b, 0x1801, 0x2c5c, 0x4e6e, 0x4558, 0xfff2},
+ {0xc50f, 0x5654, 0x6713, 0x5ef5, 0xa7ce, 0xa647, 0xc832, 0x69ce,
+ 0x1d5c, 0x4310, 0x0746, 0x5a01, 0x96ea, 0xde4b, 0xa88b, 0x5543}},
+ {{0xdc7f, 0x5e8c, 0x89d1, 0xb077, 0xd521, 0xcf90, 0x32fa, 0x5737,
+ 0x839e, 0x1464, 0x007c, 0x09c6, 0x9371, 0xe8ea, 0xc1cb, 0x75c4},
+ {0xe3a3, 0x107f, 0xa82a, 0xa375, 0x4578, 0x60f4, 0x75c9, 0x5ee4,
+ 0x3fd7, 0x2736, 0x2871, 0xd3d2, 0x5f1d, 0x1abb, 0xa764, 0xffff},
+ {0x45c6, 0x1f2e, 0xb14c, 0x84d7, 0x7bb7, 0x5a04, 0x0504, 0x3f33,
+ 0x5cc1, 0xb07a, 0x6a6c, 0x786f, 0x647f, 0xe1d7, 0x78a2, 0x4cf4}},
+ {{0xc006, 0x356f, 0x8cd2, 0x967b, 0xb49e, 0x2d4e, 0x14bf, 0x4bcb,
+ 0xddab, 0xd3f9, 0xa068, 0x2c1c, 0xd242, 0xa56d, 0xf2c7, 0x5f97},
+ {0x465b, 0xb745, 0x0e0d, 0x69a9, 0x987d, 0xcb37, 0xf637, 0xb311,
+ 0xc4d6, 0x2ddb, 0xf68f, 0x2af9, 0x959d, 0x3f53, 0x98f2, 0xf640},
+ {0xc0f2, 0x6bfb, 0xf5c3, 0x91c1, 0x6b05, 0x0825, 0x5ca0, 0x7df7,
+ 0x9d55, 0x6d9e, 0xfe94, 0x2ad9, 0xd9f0, 0xe68b, 0xa72b, 0xd1b2}},
+ {{0x2279, 0x61ba, 0x5bc6, 0x136b, 0xf544, 0x717c, 0xafda, 0x02bd,
+ 0x79af, 0x1fad, 0xea09, 0x81bb, 0x932b, 0x32c9, 0xdf1d, 0xe576},
+ {0x8215, 0x7817, 0xca82, 0x43b0, 0x9b06, 0xea65, 0x1291, 0x0621,
+ 0x0089, 0x46fe, 0xc5a6, 0xddd7, 0x8065, 0xc6a0, 0x214b, 0xfc64},
+ {0x04bf, 0x6f2a, 0x86b2, 0x841a, 0x4a95, 0xc632, 0x97b7, 0x5821,
+ 0x2b18, 0x1bb0, 0x3e97, 0x935e, 0xcc7d, 0x066b, 0xd513, 0xc251}},
+ {{0x76e8, 0x5bc2, 0x3eaa, 0x04fc, 0x9974, 0x92c1, 0x7c15, 0xfa89,
+ 0x1151, 0x36ee, 0x48b2, 0x049c, 0x5f16, 0xcee4, 0x925b, 0xe98e},
+ {0x913f, 0x0a2d, 0xa185, 0x9fea, 0xda5a, 0x4025, 0x40d7, 0x7cfa,
+ 0x88ca, 0xbbe8, 0xb265, 0xb7e4, 0x6cb1, 0xed64, 0xc6f9, 0xffb5},
+ {0x6ab1, 0x1a86, 0x5009, 0x152b, 0x1cc4, 0xe2c8, 0x960b, 0x19d0,
+ 0x3554, 0xc562, 0xd013, 0xcf91, 0x10e1, 0x7933, 0xe195, 0xcf49}},
+ {{0x9cb5, 0xd2d7, 0xc6ed, 0xa818, 0xb495, 0x06ee, 0x0f4a, 0x06e3,
+ 0x4c5a, 0x80ce, 0xd49a, 0x4cd7, 0x7487, 0x92af, 0xe516, 0x676c},
+ {0xd6e9, 0x6b85, 0x619a, 0xb52c, 0x20a0, 0x2f79, 0x3545, 0x1edd,
+ 0x5a6f, 0x8082, 0x9b80, 0xf8f8, 0xc78a, 0xd0a3, 0xadf4, 0xffff},
+ {0x01c2, 0x2118, 0xef5e, 0xa877, 0x046a, 0xd2c2, 0x2ad5, 0x951c,
+ 0x8900, 0xa5c9, 0x8d0f, 0x6b61, 0x55d3, 0xd572, 0x48de, 0x9219}},
+ {{0x5114, 0x0644, 0x23dd, 0x01d3, 0xc101, 0xa659, 0xea17, 0x640f,
+ 0xf767, 0x2644, 0x9cec, 0xd8ba, 0xd6da, 0x9156, 0x8aeb, 0x875a},
+ {0xc1bf, 0xdae9, 0xe96b, 0xce77, 0xf7a1, 0x3e99, 0x5c2e, 0x973b,
+ 0xd048, 0x5bd0, 0x4e8a, 0xcb85, 0xce39, 0x37f5, 0x815d, 0xffff},
+ {0x48cc, 0x35b6, 0x26d4, 0x2ea6, 0x50d6, 0xa2f9, 0x64b6, 0x03bf,
+ 0xd00c, 0xe057, 0x3343, 0xfb79, 0x3ce5, 0xf717, 0xc5af, 0xe185}},
+ {{0x13ff, 0x6c76, 0x2077, 0x16e0, 0xd5ca, 0xf2ad, 0x8dba, 0x8f49,
+ 0x7887, 0x16f9, 0xb646, 0xfc87, 0xfa31, 0x5096, 0xf08c, 0x3fbe},
+ {0x8139, 0x6fd7, 0xf6df, 0xa7bf, 0x6699, 0x5361, 0x6f65, 0x13c8,
+ 0xf4d1, 0xe28f, 0xc545, 0x0a8c, 0x5274, 0xb0a6, 0xffff, 0xffff},
+ {0x22ca, 0x0cd6, 0xc1b5, 0xb064, 0x44a7, 0x297b, 0x495f, 0x34ac,
+ 0xfa95, 0xec62, 0xf08d, 0x621c, 0x66a6, 0xba94, 0x84c6, 0x8ee0}},
+ {{0xaa30, 0x312e, 0x439c, 0x4e88, 0x2e2f, 0x32dc, 0xb880, 0xa28e,
+ 0xf795, 0xc910, 0xb406, 0x8dd7, 0xb187, 0xa5a5, 0x38f1, 0xe49e},
+ {0xfb19, 0xf64a, 0xba6a, 0x8ec2, 0x7255, 0xce89, 0x2cf9, 0x9cba,
+ 0xe1fe, 0x50da, 0x1705, 0xac52, 0xe3d4, 0x4269, 0x0648, 0xfd77},
+ {0xb4c8, 0x6e8a, 0x2b5f, 0x4c2d, 0x5a67, 0xa7bb, 0x7d6d, 0x5569,
+ 0xa0ea, 0x244a, 0xc0f2, 0xf73d, 0x58cf, 0xac7f, 0xd32b, 0x3018}},
+ {{0xc953, 0x1ae1, 0xae46, 0x8709, 0x19c2, 0xa986, 0x9abe, 0x1611,
+ 0x0395, 0xd5ab, 0xf0f6, 0xb5b0, 0x5b2b, 0x0317, 0x80ba, 0x376d},
+ {0xfe77, 0xbc03, 0xac2f, 0x9d00, 0xa175, 0x293d, 0x3b56, 0x0e3a,
+ 0x0a9c, 0xf40c, 0x690e, 0x1508, 0x95d4, 0xddc4, 0xe805, 0xffff},
+ {0xb1ce, 0x0929, 0xa5fe, 0x4b50, 0x9d5d, 0x8187, 0x2557, 0x4376,
+ 0x11ba, 0xdcef, 0xc1f3, 0xd531, 0x1824, 0x93f6, 0xd81f, 0x8f83}},
+ {{0xb8d2, 0xb900, 0x4a0c, 0x7188, 0xa5bf, 0x1b0b, 0x2ae5, 0xa35b,
+ 0x98e0, 0x610c, 0x86db, 0x2487, 0xa267, 0x002c, 0xebb6, 0xc5f4},
+ {0x9cdd, 0x1c1b, 0x2f06, 0x43d1, 0xce47, 0xc334, 0x6e60, 0xc016,
+ 0x989e, 0x0ab2, 0x0cac, 0x1196, 0xe2d9, 0x2e04, 0xc62b, 0xffff},
+ {0xdc36, 0x1f05, 0x6aa9, 0x7a20, 0x944f, 0x2fd3, 0xa553, 0xdb4f,
+ 0xbd5c, 0x3a75, 0x25d4, 0xe20e, 0xa387, 0x1410, 0xdbb1, 0x1b60}},
+ {{0x76b3, 0x2207, 0x4930, 0x5dd7, 0x65a0, 0xd55c, 0xb443, 0x53b7,
+ 0x5c22, 0x818a, 0xb2e7, 0x9de8, 0x9985, 0xed45, 0x33b1, 0x53e8},
+ {0x7913, 0x44e1, 0xf15b, 0x5edd, 0x34f3, 0x4eba, 0x0758, 0x7104,
+ 0x32d9, 0x28f3, 0x4401, 0x85c5, 0xb695, 0xb899, 0xc0f2, 0xffff},
+ {0x7f43, 0xd202, 0x24c9, 0x69f3, 0x74dc, 0x1a69, 0xeaee, 0x5405,
+ 0x1755, 0x4bb8, 0x04e3, 0x2fd2, 0xada8, 0x39eb, 0x5b4d, 0x96ca}},
+ {{0x807b, 0x7112, 0xc088, 0xdafd, 0x02fa, 0x9d95, 0x5e42, 0xc033,
+ 0xde0a, 0xeecf, 0x8e90, 0x8da1, 0xb17e, 0x9a5b, 0x4c6d, 0x1914},
+ {0x4871, 0xd1cb, 0x47d7, 0x327f, 0x09ec, 0x97bb, 0x2fae, 0xd346,
+ 0x6b78, 0x3707, 0xfeb2, 0xa6ab, 0x13df, 0x76b0, 0x8fb9, 0xffb3},
+ {0x179e, 0xb63b, 0x4784, 0x231e, 0x9f42, 0x7f1a, 0xa3fb, 0xdd8c,
+ 0xd1eb, 0xb4c9, 0x8ca7, 0x018c, 0xf691, 0x576c, 0xa7d6, 0xce27}},
+ {{0x5f45, 0x7c64, 0x083d, 0xedd5, 0x08a0, 0x0c64, 0x6c6f, 0xec3c,
+ 0xe2fb, 0x352c, 0x9303, 0x75e4, 0xb4e0, 0x8b09, 0xaca4, 0x7025},
+ {0x1025, 0xb482, 0xfed5, 0xa678, 0x8966, 0x9359, 0x5329, 0x98bb,
+ 0x85b2, 0x73ba, 0x9982, 0x6fdc, 0xf190, 0xbe8c, 0xdc5c, 0xfd93},
+ {0x83a2, 0x87a4, 0xa680, 0x52a1, 0x1ba1, 0x8848, 0x5db7, 0x9744,
+ 0x409c, 0x0745, 0x0e1e, 0x1cfc, 0x00cd, 0xf573, 0x2071, 0xccaa}},
+ {{0xf61f, 0x63d4, 0x536c, 0x9eb9, 0x5ddd, 0xbb11, 0x9014, 0xe904,
+ 0xfe01, 0x6b45, 0x1858, 0xcb5b, 0x4c38, 0x43e1, 0x381d, 0x7f94},
+ {0xf61f, 0x63d4, 0xd810, 0x7ca3, 0x8a04, 0x4b83, 0x11fc, 0xdf94,
+ 0x4169, 0xbd05, 0x608e, 0x7151, 0x4fbf, 0xb31a, 0x38a7, 0xa29b},
+ {0xe621, 0xdfa5, 0x3d06, 0x1d03, 0x81e6, 0x00da, 0x53a6, 0x965e,
+ 0x93e5, 0x2164, 0x5b61, 0x59b8, 0xa629, 0x8d73, 0x699a, 0x6111}},
+ {{0x4cc3, 0xd29e, 0xf4a3, 0x3428, 0x2048, 0xeec9, 0x5f50, 0x99a4,
+ 0x6de9, 0x05f2, 0x5aa9, 0x5fd2, 0x98b4, 0x1adc, 0x225f, 0x777f},
+ {0xe649, 0x37da, 0x5ba6, 0x5765, 0x3f4a, 0x8a1c, 0x2e79, 0xf550,
+ 0x1a54, 0xcd1e, 0x7218, 0x3c3c, 0x6311, 0xfe28, 0x95fb, 0xed97},
+ {0xe9b6, 0x0c47, 0x3f0e, 0x849b, 0x11f8, 0xe599, 0x5e4d, 0xd618,
+ 0xa06d, 0x33a0, 0x9a3e, 0x44db, 0xded8, 0x10f0, 0x94d2, 0x81fb}},
+ {{0x2e59, 0x7025, 0xd413, 0x455a, 0x1ce3, 0xbd45, 0x7263, 0x27f7,
+ 0x23e3, 0x518e, 0xbe06, 0xc8c4, 0xe332, 0x4276, 0x68b4, 0xb166},
+ {0x596f, 0x0cf6, 0xc8ec, 0x787b, 0x04c1, 0x473c, 0xd2b8, 0x8d54,
+ 0x9cdf, 0x77f2, 0xd3f3, 0x6735, 0x0638, 0xf80e, 0x9467, 0xc6aa},
+ {0xc7e7, 0x1822, 0xb62a, 0xec0d, 0x89cd, 0x7846, 0xbfa2, 0x35d5,
+ 0xfa38, 0x870f, 0x494b, 0x1697, 0x8b17, 0xf904, 0x10b6, 0x9822}},
+ {{0x6d5b, 0x1d4f, 0x0aaf, 0x807b, 0x35fb, 0x7ee8, 0x00c6, 0x059a,
+ 0xddf0, 0x1fb1, 0xc38a, 0xd78e, 0x2aa4, 0x79e7, 0xad28, 0xc3f1},
+ {0xe3bb, 0x174e, 0xe0a8, 0x74b6, 0xbd5b, 0x35f6, 0x6d23, 0x6328,
+ 0xc11f, 0x83e1, 0xf928, 0xa918, 0x838e, 0xbf43, 0xe243, 0xfffb},
+ {0x9cf2, 0x6b8b, 0x3476, 0x9d06, 0xdcf2, 0xdb8a, 0x89cd, 0x4857,
+ 0x75c2, 0xabb8, 0x490b, 0xc9bd, 0x890e, 0xe36e, 0xd552, 0xfffa}},
+ {{0x2f09, 0x9d62, 0xa9fc, 0xf090, 0xd6d1, 0x9d1d, 0x1828, 0xe413,
+ 0xc92b, 0x3d5a, 0x1373, 0x368c, 0xbaf2, 0x2158, 0x71eb, 0x08a3},
+ {0x2f09, 0x1d62, 0x4630, 0x0de1, 0x06dc, 0xf7f1, 0xc161, 0x1e92,
+ 0x7495, 0x97e4, 0x94b6, 0xa39e, 0x4f1b, 0x18f8, 0x7bd4, 0x0c4c},
+ {0xeb3d, 0x723d, 0x0907, 0x525b, 0x463a, 0x49a8, 0xc6b8, 0xce7f,
+ 0x740c, 0x0d7d, 0xa83b, 0x457f, 0xae8e, 0xc6af, 0xd331, 0x0475}},
+ {{0x6abd, 0xc7af, 0x3e4e, 0x95fd, 0x8fc4, 0xee25, 0x1f9c, 0x0afe,
+ 0x291d, 0xcde0, 0x48f4, 0xb2e8, 0xf7af, 0x8f8d, 0x0bd6, 0x078d},
+ {0x4037, 0xbf0e, 0x2081, 0xf363, 0x13b2, 0x381e, 0xfb6e, 0x818e,
+ 0x27e4, 0x5662, 0x18b0, 0x0cd2, 0x81f5, 0x9415, 0x0d6c, 0xf9fb},
+ {0xd205, 0x0981, 0x0498, 0x1f08, 0xdb93, 0x1732, 0x0579, 0x1424,
+ 0xad95, 0x642f, 0x050c, 0x1d6d, 0xfc95, 0xfc4a, 0xd41b, 0x3521}},
+ {{0xf23a, 0x4633, 0xaef4, 0x1a92, 0x3c8b, 0x1f09, 0x30f3, 0x4c56,
+ 0x2a2f, 0x4f62, 0xf5e4, 0x8329, 0x63cc, 0xb593, 0xec6a, 0xc428},
+ {0x93a7, 0xfcf6, 0x606d, 0xd4b2, 0x2aad, 0x28b4, 0xc65b, 0x8998,
+ 0x4e08, 0xd178, 0x0900, 0xc82b, 0x7470, 0xa342, 0x7c0f, 0xffff},
+ {0x315f, 0xf304, 0xeb7b, 0xe5c3, 0x1451, 0x6311, 0x8f37, 0x93a8,
+ 0x4a38, 0xa6c6, 0xe393, 0x1087, 0x6301, 0xd673, 0x4ec4, 0xffff}},
+ {{0x892e, 0xeed0, 0x1165, 0xcbc1, 0x5545, 0xa280, 0x7243, 0x10c9,
+ 0x9536, 0x36af, 0xb3fc, 0x2d7c, 0xe8a5, 0x09d6, 0xe1d4, 0xe85d},
+ {0xae09, 0xc28a, 0xd777, 0xbd80, 0x23d6, 0xf980, 0xeb7c, 0x4e0e,
+ 0xf7dc, 0x6475, 0xf10a, 0x2d33, 0x5dfd, 0x797a, 0x7f1c, 0xf71a},
+ {0x4064, 0x8717, 0xd091, 0x80b0, 0x4527, 0x8442, 0xac8b, 0x9614,
+ 0xc633, 0x35f5, 0x7714, 0x2e83, 0x4aaa, 0xd2e4, 0x1acd, 0x0562}},
+ {{0xdb64, 0x0937, 0x308b, 0x53b0, 0x00e8, 0xc77f, 0x2f30, 0x37f7,
+ 0x79ce, 0xeb7f, 0xde81, 0x9286, 0xafda, 0x0e62, 0xae00, 0x0067},
+ {0x2cc7, 0xd362, 0xb161, 0x0557, 0x4ff2, 0xb9c8, 0x06fe, 0x5f2b,
+ 0xde33, 0x0190, 0x28c6, 0xb886, 0xee2b, 0x5a4e, 0x3289, 0x0185},
+ {0x4215, 0x923e, 0xf34f, 0xb362, 0x88f8, 0xceec, 0xafdd, 0x7f42,
+ 0x0c57, 0x56b2, 0xa366, 0x6a08, 0x0826, 0xfb8f, 0x1b03, 0x0163}},
+ {{0xa4ba, 0x8408, 0x810a, 0xdeba, 0x47a3, 0x853a, 0xeb64, 0x2f74,
+ 0x3039, 0x038c, 0x7fbb, 0x498e, 0xd1e9, 0x46fb, 0x5691, 0x32a4},
+ {0xd749, 0xb49d, 0x20b7, 0x2af6, 0xd34a, 0xd2da, 0x0a10, 0xf781,
+ 0x58c9, 0x171f, 0x3cb6, 0x6337, 0x88cd, 0xcf1e, 0xb246, 0x7351},
+ {0xf729, 0xcf0a, 0x96ea, 0x032c, 0x4a8f, 0x42fe, 0xbac8, 0xec65,
+ 0x1510, 0x0d75, 0x4c17, 0x8d29, 0xa03f, 0x8b7e, 0x2c49, 0x0000}},
+ {{0x0fa4, 0x8e1c, 0x3788, 0xba3c, 0x8d52, 0xd89d, 0x12c8, 0xeced,
+ 0x9fe6, 0x9b88, 0xecf3, 0xe3c8, 0xac48, 0x76ed, 0xf23e, 0xda79},
+ {0x1103, 0x227c, 0x5b00, 0x3fcf, 0xc5d0, 0x2d28, 0x8020, 0x4d1c,
+ 0xc6b9, 0x67f9, 0x6f39, 0x989a, 0xda53, 0x3847, 0xd416, 0xe0d0},
+ {0xdd8e, 0xcf31, 0x3710, 0x7e44, 0xa511, 0x933c, 0x0cc3, 0x5145,
+ 0xf632, 0x5e1d, 0x038f, 0x5ce7, 0x7265, 0xda9d, 0xded6, 0x08f8}},
+ {{0xe2c8, 0x91d5, 0xa5f5, 0x735f, 0x6b58, 0x56dc, 0xb39d, 0x5c4a,
+ 0x57d0, 0xa1c2, 0xd92f, 0x9ad4, 0xf7c4, 0x51dd, 0xaf5c, 0x0096},
+ {0x1739, 0x7207, 0x7505, 0xbf35, 0x42de, 0x0a29, 0xa962, 0xdedf,
+ 0x53e8, 0x12bf, 0xcde7, 0xd8e2, 0x8d4d, 0x2c4b, 0xb1b1, 0x0628},
+ {0x992d, 0xe3a7, 0xb422, 0xc198, 0x23ab, 0xa6ef, 0xb45d, 0x50da,
+ 0xa738, 0x014a, 0x2310, 0x85fb, 0x5fe8, 0x1b18, 0x1774, 0x03a7}},
+ {{0x1f16, 0x2b09, 0x0236, 0xee90, 0xccf9, 0x9775, 0x8130, 0x4c91,
+ 0x9091, 0x310b, 0x6dc4, 0x86f6, 0xc2e8, 0xef60, 0xfc0e, 0xf3a4},
+ {0x9f49, 0xac15, 0x02af, 0x110f, 0xc59d, 0x5677, 0xa1a9, 0x38d5,
+ 0x914f, 0xa909, 0x3a3a, 0x4a39, 0x3703, 0xea30, 0x73da, 0xffad},
+ {0x15ed, 0xdd16, 0x83c7, 0x270a, 0x862f, 0xd8ad, 0xcaa1, 0x5f41,
+ 0x99a9, 0x3fc8, 0x7bb2, 0x360a, 0xb06d, 0xfadc, 0x1b36, 0xffa8}},
+ {{0xc4e0, 0xb8fd, 0x5106, 0xe169, 0x754c, 0xa58c, 0xc413, 0x8224,
+ 0x5483, 0x63ec, 0xd477, 0x8473, 0x4778, 0x9281, 0x0000, 0x0000},
+ {0x85e1, 0xff54, 0xb200, 0xe413, 0xf4f4, 0x4c0f, 0xfcec, 0xc183,
+ 0x60d3, 0x1b0c, 0x3834, 0x601c, 0x943c, 0xbe6e, 0x0002, 0x0000},
+ {0xf4f8, 0xfd5e, 0x61ef, 0xece8, 0x9199, 0xe5c4, 0x05a6, 0xe6c3,
+ 0xc4ae, 0x8b28, 0x66b1, 0x8a95, 0x9ece, 0x8f4a, 0x0001, 0x0000}},
+ {{0xeae9, 0xa1b4, 0xc6d8, 0x2411, 0x2b5a, 0x1dd0, 0x2dc9, 0xb57b,
+ 0x5ccd, 0x4957, 0xaf59, 0xa04b, 0x5f42, 0xab7c, 0x2826, 0x526f},
+ {0xf407, 0x165a, 0xb724, 0x2f12, 0x2ea1, 0x470b, 0x4464, 0xbd35,
+ 0x606f, 0xd73e, 0x50d3, 0x8a7f, 0x8029, 0x7ffc, 0xbe31, 0x6cfb},
+ {0x8171, 0x1f4c, 0xced2, 0x9c99, 0x6d7e, 0x5a0f, 0xfefb, 0x59e3,
+ 0xa0c8, 0xabd9, 0xc4c5, 0x57d3, 0xbfa3, 0x4f11, 0x96a2, 0x5a7d}},
+ {{0xe068, 0x4cc0, 0x8bcd, 0xc903, 0x9e52, 0xb3e1, 0xd745, 0x0995,
+ 0xdd8f, 0xf14b, 0xd2ac, 0xd65a, 0xda1d, 0xa742, 0xbac5, 0x474c},
+ {0x7481, 0xf2ad, 0x9757, 0x2d82, 0xb683, 0xb16b, 0x0002, 0x7b60,
+ 0x8f0c, 0x2594, 0x8f64, 0x3b7a, 0x3552, 0x8d9d, 0xb9d7, 0x67eb},
+ {0xcaab, 0xb9a1, 0xf966, 0xe311, 0x5b34, 0x0fa0, 0x6abc, 0x8134,
+ 0xab3d, 0x90f6, 0x1984, 0x9232, 0xec17, 0x74e5, 0x2ceb, 0x434e}},
+ {{0x0fb1, 0x7a55, 0x1a5c, 0x53eb, 0xd7b3, 0x7a01, 0xca32, 0x31f6,
+ 0x3b74, 0x679e, 0x1501, 0x6c57, 0xdb20, 0x8b7c, 0xd7d0, 0x8097},
+ {0xb127, 0xb20c, 0xe3a2, 0x96f3, 0xe0d8, 0xd50c, 0x14b4, 0x0b40,
+ 0x6eeb, 0xa258, 0x99db, 0x3c8c, 0x0f51, 0x4198, 0x3887, 0xffd0},
+ {0x0273, 0x9f8c, 0x9669, 0xbbba, 0x1c49, 0x767c, 0xc2af, 0x59f0,
+ 0x1366, 0xd397, 0x63ac, 0x6fe8, 0x1a9a, 0x1259, 0x01d0, 0x0016}},
+ {{0x7876, 0x2a35, 0xa24a, 0x433e, 0x5501, 0x573c, 0xd76d, 0xcb82,
+ 0x1334, 0xb4a6, 0xf290, 0xc797, 0xeae9, 0x2b83, 0x1e2b, 0x8b14},
+ {0x3885, 0x8aef, 0x9dea, 0x2b8c, 0xdd7c, 0xd7cd, 0xb0cc, 0x05ee,
+ 0x361b, 0x3800, 0xb0d4, 0x4c23, 0xbd3f, 0x5180, 0x9783, 0xff80},
+ {0xab36, 0x3104, 0xdae8, 0x0704, 0x4a28, 0x6714, 0x824b, 0x0051,
+ 0x8134, 0x1f6a, 0x712d, 0x1f03, 0x03b2, 0xecac, 0x377d, 0xfef9}}
+ };
+
+ int i, j, ok;
+
+ /* Test known inputs/outputs */
+ for (i = 0; (size_t)i < sizeof(CASES) / sizeof(CASES[0]); ++i) {
+ uint16_t out[16];
+ test_modinv32_uint16(out, CASES[i][0], CASES[i][1]);
+ for (j = 0; j < 16; ++j) CHECK(out[j] == CASES[i][2][j]);
+#ifdef SECP256K1_WIDEMUL_INT128
+ test_modinv64_uint16(out, CASES[i][0], CASES[i][1]);
+ for (j = 0; j < 16; ++j) CHECK(out[j] == CASES[i][2][j]);
#endif
+ }
+
+ for (i = 0; i < 100 * count; ++i) {
+ /* 256-bit numbers in 16-uint16_t's notation */
+ static const uint16_t ZERO[16] = {0};
+ uint16_t xd[16]; /* the number (in range [0,2^256)) to be inverted */
+ uint16_t md[16]; /* the modulus (odd, in range [3,2^256)) */
+ uint16_t id[16]; /* the inverse of xd mod md */
+
+ /* generate random xd and md, so that md is odd, md>1, xd<md, and gcd(xd,md)=1 */
+ do {
+ /* generate random xd and md (with many subsequent 0s and 1s) */
+ secp256k1_testrand256_test((unsigned char*)xd);
+ secp256k1_testrand256_test((unsigned char*)md);
+ md[0] |= 1; /* modulus must be odd */
+ /* If modulus is 1, find another one. */
+ ok = md[0] != 1;
+ for (j = 1; j < 16; ++j) ok |= md[j] != 0;
+ mulmod256(xd, xd, NULL, md); /* Make xd = xd mod md */
+ } while (!(ok && coprime(xd, md)));
+
+ test_modinv32_uint16(id, xd, md);
+#ifdef SECP256K1_WIDEMUL_INT128
+ test_modinv64_uint16(id, xd, md);
+#endif
+
+ /* In a few cases, also test with input=0 */
+ if (i < count) {
+ test_modinv32_uint16(id, ZERO, md);
+#ifdef SECP256K1_WIDEMUL_INT128
+ test_modinv64_uint16(id, ZERO, md);
+#endif
+ }
+ }
+}
/***** SCALAR TESTS *****/
+
void scalar_test(void) {
secp256k1_scalar s;
secp256k1_scalar s1;
secp256k1_scalar s2;
-#ifndef USE_NUM_NONE
- secp256k1_num snum, s1num, s2num;
- secp256k1_num order, half_order;
-#endif
unsigned char c[32];
/* Set 's' to a random scalar, with value 'snum'. */
@@ -819,16 +1598,6 @@ void scalar_test(void) {
random_scalar_order_test(&s2);
secp256k1_scalar_get_b32(c, &s2);
-#ifndef USE_NUM_NONE
- secp256k1_scalar_get_num(&snum, &s);
- secp256k1_scalar_get_num(&s1num, &s1);
- secp256k1_scalar_get_num(&s2num, &s2);
-
- secp256k1_scalar_order_get_num(&order);
- half_order = order;
- secp256k1_num_shift(&half_order, 1);
-#endif
-
{
int i;
/* Test that fetching groups of 4 bits from a scalar and recursing n(i)=16*n(i-1)+p(i) reconstructs it. */
@@ -868,80 +1637,6 @@ void scalar_test(void) {
CHECK(secp256k1_scalar_eq(&n, &s));
}
-#ifndef USE_NUM_NONE
- {
- /* Test that adding the scalars together is equal to adding their numbers together modulo the order. */
- secp256k1_num rnum;
- secp256k1_num r2num;
- secp256k1_scalar r;
- secp256k1_num_add(&rnum, &snum, &s2num);
- secp256k1_num_mod(&rnum, &order);
- secp256k1_scalar_add(&r, &s, &s2);
- secp256k1_scalar_get_num(&r2num, &r);
- CHECK(secp256k1_num_eq(&rnum, &r2num));
- }
-
- {
- /* Test that multiplying the scalars is equal to multiplying their numbers modulo the order. */
- secp256k1_scalar r;
- secp256k1_num r2num;
- secp256k1_num rnum;
- secp256k1_num_mul(&rnum, &snum, &s2num);
- secp256k1_num_mod(&rnum, &order);
- secp256k1_scalar_mul(&r, &s, &s2);
- secp256k1_scalar_get_num(&r2num, &r);
- CHECK(secp256k1_num_eq(&rnum, &r2num));
- /* The result can only be zero if at least one of the factors was zero. */
- CHECK(secp256k1_scalar_is_zero(&r) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_zero(&s2)));
- /* The results can only be equal to one of the factors if that factor was zero, or the other factor was one. */
- CHECK(secp256k1_num_eq(&rnum, &snum) == (secp256k1_scalar_is_zero(&s) || secp256k1_scalar_is_one(&s2)));
- CHECK(secp256k1_num_eq(&rnum, &s2num) == (secp256k1_scalar_is_zero(&s2) || secp256k1_scalar_is_one(&s)));
- }
-
- {
- secp256k1_scalar neg;
- secp256k1_num negnum;
- secp256k1_num negnum2;
- /* Check that comparison with zero matches comparison with zero on the number. */
- CHECK(secp256k1_num_is_zero(&snum) == secp256k1_scalar_is_zero(&s));
- /* Check that comparison with the half order is equal to testing for high scalar. */
- CHECK(secp256k1_scalar_is_high(&s) == (secp256k1_num_cmp(&snum, &half_order) > 0));
- secp256k1_scalar_negate(&neg, &s);
- secp256k1_num_sub(&negnum, &order, &snum);
- secp256k1_num_mod(&negnum, &order);
- /* Check that comparison with the half order is equal to testing for high scalar after negation. */
- CHECK(secp256k1_scalar_is_high(&neg) == (secp256k1_num_cmp(&negnum, &half_order) > 0));
- /* Negating should change the high property, unless the value was already zero. */
- CHECK((secp256k1_scalar_is_high(&s) == secp256k1_scalar_is_high(&neg)) == secp256k1_scalar_is_zero(&s));
- secp256k1_scalar_get_num(&negnum2, &neg);
- /* Negating a scalar should be equal to (order - n) mod order on the number. */
- CHECK(secp256k1_num_eq(&negnum, &negnum2));
- secp256k1_scalar_add(&neg, &neg, &s);
- /* Adding a number to its negation should result in zero. */
- CHECK(secp256k1_scalar_is_zero(&neg));
- secp256k1_scalar_negate(&neg, &neg);
- /* Negating zero should still result in zero. */
- CHECK(secp256k1_scalar_is_zero(&neg));
- }
-
- {
- /* Test secp256k1_scalar_mul_shift_var. */
- secp256k1_scalar r;
- secp256k1_num one;
- secp256k1_num rnum;
- secp256k1_num rnum2;
- unsigned char cone[1] = {0x01};
- unsigned int shift = 256 + secp256k1_testrand_int(257);
- secp256k1_scalar_mul_shift_var(&r, &s1, &s2, shift);
- secp256k1_num_mul(&rnum, &s1num, &s2num);
- secp256k1_num_shift(&rnum, shift - 1);
- secp256k1_num_set_bin(&one, cone, 1);
- secp256k1_num_add(&rnum, &rnum, &one);
- secp256k1_num_shift(&rnum, 1);
- secp256k1_scalar_get_num(&rnum2, &r);
- CHECK(secp256k1_num_eq(&rnum, &rnum2));
- }
-
{
/* test secp256k1_scalar_shr_int */
secp256k1_scalar r;
@@ -955,34 +1650,6 @@ void scalar_test(void) {
CHECK(expected == low);
}
}
-#endif
-
- {
- /* Test that scalar inverses are equal to the inverse of their number modulo the order. */
- if (!secp256k1_scalar_is_zero(&s)) {
- secp256k1_scalar inv;
-#ifndef USE_NUM_NONE
- secp256k1_num invnum;
- secp256k1_num invnum2;
-#endif
- secp256k1_scalar_inverse(&inv, &s);
-#ifndef USE_NUM_NONE
- secp256k1_num_mod_inverse(&invnum, &snum, &order);
- secp256k1_scalar_get_num(&invnum2, &inv);
- CHECK(secp256k1_num_eq(&invnum, &invnum2));
-#endif
- secp256k1_scalar_mul(&inv, &inv, &s);
- /* Multiplying a scalar with its inverse must result in one. */
- CHECK(secp256k1_scalar_is_one(&inv));
- secp256k1_scalar_inverse(&inv, &inv);
- /* Inverting one must result in one. */
- CHECK(secp256k1_scalar_is_one(&inv));
-#ifndef USE_NUM_NONE
- secp256k1_scalar_get_num(&invnum, &inv);
- CHECK(secp256k1_num_is_one(&invnum));
-#endif
- }
- }
{
/* Test commutativity of add. */
@@ -1055,14 +1722,6 @@ void scalar_test(void) {
}
{
- /* Test square. */
- secp256k1_scalar r1, r2;
- secp256k1_scalar_sqr(&r1, &s1);
- secp256k1_scalar_mul(&r2, &s1, &s1);
- CHECK(secp256k1_scalar_eq(&r1, &r2));
- }
-
- {
/* Test multiplicative identity. */
secp256k1_scalar r1, v1;
secp256k1_scalar_set_int(&v1,1);
@@ -1126,48 +1785,6 @@ void run_scalar_tests(void) {
CHECK(secp256k1_scalar_is_zero(&o));
}
-#ifndef USE_NUM_NONE
- {
- /* Test secp256k1_scalar_set_b32 boundary conditions */
- secp256k1_num order;
- secp256k1_scalar scalar;
- unsigned char bin[32];
- unsigned char bin_tmp[32];
- int overflow = 0;
- /* 2^256-1 - order */
- static const secp256k1_scalar all_ones_minus_order = SECP256K1_SCALAR_CONST(
- 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000001UL,
- 0x45512319UL, 0x50B75FC4UL, 0x402DA173UL, 0x2FC9BEBEUL
- );
-
- /* A scalar set to 0s should be 0. */
- memset(bin, 0, 32);
- secp256k1_scalar_set_b32(&scalar, bin, &overflow);
- CHECK(overflow == 0);
- CHECK(secp256k1_scalar_is_zero(&scalar));
-
- /* A scalar with value of the curve order should be 0. */
- secp256k1_scalar_order_get_num(&order);
- secp256k1_num_get_bin(bin, 32, &order);
- secp256k1_scalar_set_b32(&scalar, bin, &overflow);
- CHECK(overflow == 1);
- CHECK(secp256k1_scalar_is_zero(&scalar));
-
- /* A scalar with value of the curve order minus one should not overflow. */
- bin[31] -= 1;
- secp256k1_scalar_set_b32(&scalar, bin, &overflow);
- CHECK(overflow == 0);
- secp256k1_scalar_get_b32(bin_tmp, &scalar);
- CHECK(secp256k1_memcmp_var(bin, bin_tmp, 32) == 0);
-
- /* A scalar set to all 1s should overflow. */
- memset(bin, 0xFF, 32);
- secp256k1_scalar_set_b32(&scalar, bin, &overflow);
- CHECK(overflow == 1);
- CHECK(secp256k1_scalar_eq(&scalar, &all_ones_minus_order));
- }
-#endif
-
{
/* Does check_overflow check catch all ones? */
static const secp256k1_scalar overflowed = SECP256K1_SCALAR_CONST(
@@ -1190,9 +1807,7 @@ void run_scalar_tests(void) {
secp256k1_scalar one;
secp256k1_scalar r1;
secp256k1_scalar r2;
-#if defined(USE_SCALAR_INV_NUM)
secp256k1_scalar zzv;
-#endif
int overflow;
unsigned char chal[33][2][32] = {
{{0xff, 0xff, 0x03, 0x07, 0x00, 0x00, 0x00, 0x00,
@@ -1742,10 +2357,8 @@ void run_scalar_tests(void) {
if (!secp256k1_scalar_is_zero(&y)) {
secp256k1_scalar_inverse(&zz, &y);
CHECK(!secp256k1_scalar_check_overflow(&zz));
-#if defined(USE_SCALAR_INV_NUM)
secp256k1_scalar_inverse_var(&zzv, &y);
CHECK(secp256k1_scalar_eq(&zzv, &zz));
-#endif
secp256k1_scalar_mul(&z, &z, &zz);
CHECK(!secp256k1_scalar_check_overflow(&z));
CHECK(secp256k1_scalar_eq(&x, &z));
@@ -1753,12 +2366,6 @@ void run_scalar_tests(void) {
CHECK(!secp256k1_scalar_check_overflow(&zz));
CHECK(secp256k1_scalar_eq(&one, &zz));
}
- secp256k1_scalar_mul(&z, &x, &x);
- CHECK(!secp256k1_scalar_check_overflow(&z));
- secp256k1_scalar_sqr(&zz, &x);
- CHECK(!secp256k1_scalar_check_overflow(&zz));
- CHECK(secp256k1_scalar_eq(&zz, &z));
- CHECK(secp256k1_scalar_eq(&r2, &zz));
}
}
}
@@ -1814,13 +2421,6 @@ int check_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) {
return secp256k1_fe_equal_var(&an, &bn);
}
-int check_fe_inverse(const secp256k1_fe *a, const secp256k1_fe *ai) {
- secp256k1_fe x;
- secp256k1_fe one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
- secp256k1_fe_mul(&x, a, ai);
- return check_fe_equal(&x, &one);
-}
-
void run_field_convert(void) {
static const unsigned char b32[32] = {
0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
@@ -1940,49 +2540,67 @@ void run_field_misc(void) {
}
}
-void run_field_inv(void) {
- secp256k1_fe x, xi, xii;
+void test_fe_mul(const secp256k1_fe* a, const secp256k1_fe* b, int use_sqr)
+{
+ secp256k1_fe c, an, bn;
+ /* Variables in BE 32-byte format. */
+ unsigned char a32[32], b32[32], c32[32];
+ /* Variables in LE 16x uint16_t format. */
+ uint16_t a16[16], b16[16], c16[16];
+ /* Field modulus in LE 16x uint16_t format. */
+ static const uint16_t m16[16] = {
+ 0xfc2f, 0xffff, 0xfffe, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff,
+ };
+ uint16_t t16[32];
int i;
- for (i = 0; i < 10*count; i++) {
- random_fe_non_zero(&x);
- secp256k1_fe_inv(&xi, &x);
- CHECK(check_fe_inverse(&x, &xi));
- secp256k1_fe_inv(&xii, &xi);
- CHECK(check_fe_equal(&x, &xii));
- }
-}
-void run_field_inv_var(void) {
- secp256k1_fe x, xi, xii;
- int i;
- for (i = 0; i < 10*count; i++) {
- random_fe_non_zero(&x);
- secp256k1_fe_inv_var(&xi, &x);
- CHECK(check_fe_inverse(&x, &xi));
- secp256k1_fe_inv_var(&xii, &xi);
- CHECK(check_fe_equal(&x, &xii));
+ /* Compute C = A * B in fe format. */
+ c = *a;
+ if (use_sqr) {
+ secp256k1_fe_sqr(&c, &c);
+ } else {
+ secp256k1_fe_mul(&c, &c, b);
}
+
+ /* Convert A, B, C into LE 16x uint16_t format. */
+ an = *a;
+ bn = *b;
+ secp256k1_fe_normalize_var(&c);
+ secp256k1_fe_normalize_var(&an);
+ secp256k1_fe_normalize_var(&bn);
+ secp256k1_fe_get_b32(a32, &an);
+ secp256k1_fe_get_b32(b32, &bn);
+ secp256k1_fe_get_b32(c32, &c);
+ for (i = 0; i < 16; ++i) {
+ a16[i] = a32[31 - 2*i] + ((uint16_t)a32[30 - 2*i] << 8);
+ b16[i] = b32[31 - 2*i] + ((uint16_t)b32[30 - 2*i] << 8);
+ c16[i] = c32[31 - 2*i] + ((uint16_t)c32[30 - 2*i] << 8);
+ }
+ /* Compute T = A * B in LE 16x uint16_t format. */
+ mulmod256(t16, a16, b16, m16);
+ /* Compare */
+ CHECK(secp256k1_memcmp_var(t16, c16, 32) == 0);
}
-void run_field_inv_all_var(void) {
- secp256k1_fe x[16], xi[16], xii[16];
+void run_fe_mul(void) {
int i;
- /* Check it's safe to call for 0 elements */
- secp256k1_fe_inv_all_var(xi, x, 0);
- for (i = 0; i < count; i++) {
- size_t j;
- size_t len = secp256k1_testrand_int(15) + 1;
- for (j = 0; j < len; j++) {
- random_fe_non_zero(&x[j]);
- }
- secp256k1_fe_inv_all_var(xi, x, len);
- for (j = 0; j < len; j++) {
- CHECK(check_fe_inverse(&x[j], &xi[j]));
- }
- secp256k1_fe_inv_all_var(xii, xi, len);
- for (j = 0; j < len; j++) {
- CHECK(check_fe_equal(&x[j], &xii[j]));
- }
+ for (i = 0; i < 100 * count; ++i) {
+ secp256k1_fe a, b, c, d;
+ random_fe(&a);
+ random_field_element_magnitude(&a);
+ random_fe(&b);
+ random_field_element_magnitude(&b);
+ random_fe_test(&c);
+ random_field_element_magnitude(&c);
+ random_fe_test(&d);
+ random_field_element_magnitude(&d);
+ test_fe_mul(&a, &a, 1);
+ test_fe_mul(&c, &c, 1);
+ test_fe_mul(&a, &b, 0);
+ test_fe_mul(&a, &c, 0);
+ test_fe_mul(&c, &b, 0);
+ test_fe_mul(&c, &d, 0);
}
}
@@ -2050,6 +2668,318 @@ void run_sqrt(void) {
}
}
+/***** FIELD/SCALAR INVERSE TESTS *****/
+
+static const secp256k1_scalar scalar_minus_one = SECP256K1_SCALAR_CONST(
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE,
+ 0xBAAEDCE6, 0xAF48A03B, 0xBFD25E8C, 0xD0364140
+);
+
+static const secp256k1_fe fe_minus_one = SECP256K1_FE_CONST(
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
+ 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFE, 0xFFFFFC2E
+);
+
+/* These tests test the following identities:
+ *
+ * for x==0: 1/x == 0
+ * for x!=0: x*(1/x) == 1
+ * for x!=0 and x!=1: 1/(1/x - 1) + 1 == -1/(x-1)
+ */
+
+void test_inverse_scalar(secp256k1_scalar* out, const secp256k1_scalar* x, int var)
+{
+ secp256k1_scalar l, r, t;
+
+ (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&l, x); /* l = 1/x */
+ if (out) *out = l;
+ if (secp256k1_scalar_is_zero(x)) {
+ CHECK(secp256k1_scalar_is_zero(&l));
+ return;
+ }
+ secp256k1_scalar_mul(&t, x, &l); /* t = x*(1/x) */
+ CHECK(secp256k1_scalar_is_one(&t)); /* x*(1/x) == 1 */
+ secp256k1_scalar_add(&r, x, &scalar_minus_one); /* r = x-1 */
+ if (secp256k1_scalar_is_zero(&r)) return;
+ (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&r, &r); /* r = 1/(x-1) */
+ secp256k1_scalar_add(&l, &scalar_minus_one, &l); /* l = 1/x-1 */
+ (var ? secp256k1_scalar_inverse_var : secp256k1_scalar_inverse)(&l, &l); /* l = 1/(1/x-1) */
+ secp256k1_scalar_add(&l, &l, &secp256k1_scalar_one); /* l = 1/(1/x-1)+1 */
+ secp256k1_scalar_add(&l, &r, &l); /* l = 1/(1/x-1)+1 + 1/(x-1) */
+ CHECK(secp256k1_scalar_is_zero(&l)); /* l == 0 */
+}
+
+void test_inverse_field(secp256k1_fe* out, const secp256k1_fe* x, int var)
+{
+ secp256k1_fe l, r, t;
+
+ (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&l, x) ; /* l = 1/x */
+ if (out) *out = l;
+ t = *x; /* t = x */
+ if (secp256k1_fe_normalizes_to_zero_var(&t)) {
+ CHECK(secp256k1_fe_normalizes_to_zero(&l));
+ return;
+ }
+ secp256k1_fe_mul(&t, x, &l); /* t = x*(1/x) */
+ secp256k1_fe_add(&t, &fe_minus_one); /* t = x*(1/x)-1 */
+ CHECK(secp256k1_fe_normalizes_to_zero(&t)); /* x*(1/x)-1 == 0 */
+ r = *x; /* r = x */
+ secp256k1_fe_add(&r, &fe_minus_one); /* r = x-1 */
+ if (secp256k1_fe_normalizes_to_zero_var(&r)) return;
+ (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&r, &r); /* r = 1/(x-1) */
+ secp256k1_fe_add(&l, &fe_minus_one); /* l = 1/x-1 */
+ (var ? secp256k1_fe_inv_var : secp256k1_fe_inv)(&l, &l); /* l = 1/(1/x-1) */
+ secp256k1_fe_add(&l, &secp256k1_fe_one); /* l = 1/(1/x-1)+1 */
+ secp256k1_fe_add(&l, &r); /* l = 1/(1/x-1)+1 + 1/(x-1) */
+ CHECK(secp256k1_fe_normalizes_to_zero_var(&l)); /* l == 0 */
+}
+
+void run_inverse_tests(void)
+{
+ /* Fixed test cases for field inverses: pairs of (x, 1/x) mod p. */
+ static const secp256k1_fe fe_cases[][2] = {
+ /* 0 */
+ {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0),
+ SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0)},
+ /* 1 */
+ {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1),
+ SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1)},
+ /* -1 */
+ {SECP256K1_FE_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xfffffc2e),
+ SECP256K1_FE_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xfffffc2e)},
+ /* 2 */
+ {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 2),
+ SECP256K1_FE_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x7ffffe18)},
+ /* 2**128 */
+ {SECP256K1_FE_CONST(0, 0, 0, 1, 0, 0, 0, 0),
+ SECP256K1_FE_CONST(0xbcb223fe, 0xdc24a059, 0xd838091d, 0xd2253530, 0xffffffff, 0xffffffff, 0xffffffff, 0x434dd931)},
+ /* Input known to need 637 divsteps */
+ {SECP256K1_FE_CONST(0xe34e9c95, 0x6bee8a84, 0x0dcb632a, 0xdb8a1320, 0x66885408, 0x06f3f996, 0x7c11ca84, 0x19199ec3),
+ SECP256K1_FE_CONST(0xbd2cbd8f, 0x1c536828, 0x9bccda44, 0x2582ac0c, 0x870152b0, 0x8a3f09fb, 0x1aaadf92, 0x19b618e5)},
+ /* Input known to need 567 divsteps starting with delta=1/2. */
+ {SECP256K1_FE_CONST(0xf6bc3ba3, 0x636451c4, 0x3e46357d, 0x2c21d619, 0x0988e234, 0x15985661, 0x6672982b, 0xa7549bfc),
+ SECP256K1_FE_CONST(0xb024fdc7, 0x5547451e, 0x426c585f, 0xbd481425, 0x73df6b75, 0xeef6d9d0, 0x389d87d4, 0xfbb440ba)},
+ /* Input known to need 566 divsteps starting with delta=1/2. */
+ {SECP256K1_FE_CONST(0xb595d81b, 0x2e3c1e2f, 0x482dbc65, 0xe4865af7, 0x9a0a50aa, 0x29f9e618, 0x6f87d7a5, 0x8d1063ae),
+ SECP256K1_FE_CONST(0xc983337c, 0x5d5c74e1, 0x49918330, 0x0b53afb5, 0xa0428a0b, 0xce6eef86, 0x059bd8ef, 0xe5b908de)},
+ /* Set of 10 inputs accessing all 128 entries in the modinv32 divsteps_var table */
+ {SECP256K1_FE_CONST(0x00000000, 0x00000000, 0xe0ff1f80, 0x1f000000, 0x00000000, 0x00000000, 0xfeff0100, 0x00000000),
+ SECP256K1_FE_CONST(0x9faf9316, 0x77e5049d, 0x0b5e7a1b, 0xef70b893, 0x18c9e30c, 0x045e7fd7, 0x29eddf8c, 0xd62e9e3d)},
+ {SECP256K1_FE_CONST(0x621a538d, 0x511b2780, 0x35688252, 0x53f889a4, 0x6317c3ac, 0x32ba0a46, 0x6277c0d1, 0xccd31192),
+ SECP256K1_FE_CONST(0x38513b0c, 0x5eba856f, 0xe29e882e, 0x9b394d8c, 0x34bda011, 0xeaa66943, 0x6a841a4c, 0x6ae8bcff)},
+ {SECP256K1_FE_CONST(0x00000200, 0xf0ffff1f, 0x00000000, 0x0000e0ff, 0xffffffff, 0xfffcffff, 0xffffffff, 0xffff0100),
+ SECP256K1_FE_CONST(0x5da42a52, 0x3640de9e, 0x13e64343, 0x0c7591b7, 0x6c1e3519, 0xf048c5b6, 0x0484217c, 0xedbf8b2f)},
+ {SECP256K1_FE_CONST(0xd1343ef9, 0x4b952621, 0x7c52a2ee, 0x4ea1281b, 0x4ab46410, 0x9f26998d, 0xa686a8ff, 0x9f2103e8),
+ SECP256K1_FE_CONST(0x84044385, 0x9a4619bf, 0x74e35b6d, 0xa47e0c46, 0x6b7fb47d, 0x9ffab128, 0xb0775aa3, 0xcb318bd1)},
+ {SECP256K1_FE_CONST(0xb27235d2, 0xc56a52be, 0x210db37a, 0xd50d23a4, 0xbe621bdd, 0x5df22c6a, 0xe926ba62, 0xd2e4e440),
+ SECP256K1_FE_CONST(0x67a26e54, 0x483a9d3c, 0xa568469e, 0xd258ab3d, 0xb9ec9981, 0xdca9b1bd, 0x8d2775fe, 0x53ae429b)},
+ {SECP256K1_FE_CONST(0x00000000, 0x00000000, 0x00e0ffff, 0xffffff83, 0xffffffff, 0x3f00f00f, 0x000000e0, 0xffffffff),
+ SECP256K1_FE_CONST(0x310e10f8, 0x23bbfab0, 0xac94907d, 0x076c9a45, 0x8d357d7f, 0xc763bcee, 0x00d0e615, 0x5a6acef6)},
+ {SECP256K1_FE_CONST(0xfeff0300, 0x001c0000, 0xf80700c0, 0x0ff0ffff, 0xffffffff, 0x0fffffff, 0xffff0100, 0x7f0000fe),
+ SECP256K1_FE_CONST(0x28e2fdb4, 0x0709168b, 0x86f598b0, 0x3453a370, 0x530cf21f, 0x32f978d5, 0x1d527a71, 0x59269b0c)},
+ {SECP256K1_FE_CONST(0xc2591afa, 0x7bb98ef7, 0x090bb273, 0x85c14f87, 0xbb0b28e0, 0x54d3c453, 0x85c66753, 0xd5574d2f),
+ SECP256K1_FE_CONST(0xfdca70a2, 0x70ce627c, 0x95e66fae, 0x848a6dbb, 0x07ffb15c, 0x5f63a058, 0xba4140ed, 0x6113b503)},
+ {SECP256K1_FE_CONST(0xf5475db3, 0xedc7b5a3, 0x411c047e, 0xeaeb452f, 0xc625828e, 0x1cf5ad27, 0x8eec1060, 0xc7d3e690),
+ SECP256K1_FE_CONST(0x5eb756c0, 0xf963f4b9, 0xdc6a215e, 0xec8cc2d8, 0x2e9dec01, 0xde5eb88d, 0x6aba7164, 0xaecb2c5a)},
+ {SECP256K1_FE_CONST(0x00000000, 0x00f8ffff, 0xffffffff, 0x01000000, 0xe0ff1f00, 0x00000000, 0xffffff7f, 0x00000000),
+ SECP256K1_FE_CONST(0xe0d2e3d8, 0x49b6157d, 0xe54e88c2, 0x1a7f02ca, 0x7dd28167, 0xf1125d81, 0x7bfa444e, 0xbe110037)},
+ /* Selection of randomly generated inputs that reach high/low d/e values in various configurations. */
+ {SECP256K1_FE_CONST(0x13cc08a4, 0xd8c41f0f, 0x179c3e67, 0x54c46c67, 0xc4109221, 0x09ab3b13, 0xe24d9be1, 0xffffe950),
+ SECP256K1_FE_CONST(0xb80c8006, 0xd16abaa7, 0xcabd71e5, 0xcf6714f4, 0x966dd3d0, 0x64767a2d, 0xe92c4441, 0x51008cd1)},
+ {SECP256K1_FE_CONST(0xaa6db990, 0x95efbca1, 0x3cc6ff71, 0x0602e24a, 0xf49ff938, 0x99fffc16, 0x46f40993, 0xc6e72057),
+ SECP256K1_FE_CONST(0xd5d3dd69, 0xb0c195e5, 0x285f1d49, 0xe639e48c, 0x9223f8a9, 0xca1d731d, 0x9ca482f9, 0xa5b93e06)},
+ {SECP256K1_FE_CONST(0x1c680eac, 0xaeabffd8, 0x9bdc4aee, 0x1781e3de, 0xa3b08108, 0x0015f2e0, 0x94449e1b, 0x2f67a058),
+ SECP256K1_FE_CONST(0x7f083f8d, 0x31254f29, 0x6510f475, 0x245c373d, 0xc5622590, 0x4b323393, 0x32ed1719, 0xc127444b)},
+ {SECP256K1_FE_CONST(0x147d44b3, 0x012d83f8, 0xc160d386, 0x1a44a870, 0x9ba6be96, 0x8b962707, 0x267cbc1a, 0xb65b2f0a),
+ SECP256K1_FE_CONST(0x555554ff, 0x170aef1e, 0x50a43002, 0xe51fbd36, 0xafadb458, 0x7a8aded1, 0x0ca6cd33, 0x6ed9087c)},
+ {SECP256K1_FE_CONST(0x12423796, 0x22f0fe61, 0xf9ca017c, 0x5384d107, 0xa1fbf3b2, 0x3b018013, 0x916a3c37, 0x4000b98c),
+ SECP256K1_FE_CONST(0x20257700, 0x08668f94, 0x1177e306, 0x136c01f5, 0x8ed1fbd2, 0x95ec4589, 0xae38edb9, 0xfd19b6d7)},
+ {SECP256K1_FE_CONST(0xdcf2d030, 0x9ab42cb4, 0x93ffa181, 0xdcd23619, 0x39699b52, 0x08909a20, 0xb5a17695, 0x3a9dcf21),
+ SECP256K1_FE_CONST(0x1f701dea, 0xe211fb1f, 0x4f37180d, 0x63a0f51c, 0x29fe1e40, 0xa40b6142, 0x2e7b12eb, 0x982b06b6)},
+ {SECP256K1_FE_CONST(0x79a851f6, 0xa6314ed3, 0xb35a55e6, 0xca1c7d7f, 0xe32369ea, 0xf902432e, 0x375308c5, 0xdfd5b600),
+ SECP256K1_FE_CONST(0xcaae00c5, 0xe6b43851, 0x9dabb737, 0x38cba42c, 0xa02c8549, 0x7895dcbf, 0xbd183d71, 0xafe4476a)},
+ {SECP256K1_FE_CONST(0xede78fdd, 0xcfc92bf1, 0x4fec6c6c, 0xdb8d37e2, 0xfb66bc7b, 0x28701870, 0x7fa27c9a, 0x307196ec),
+ SECP256K1_FE_CONST(0x68193a6c, 0x9a8b87a7, 0x2a760c64, 0x13e473f6, 0x23ae7bed, 0x1de05422, 0x88865427, 0xa3418265)},
+ {SECP256K1_FE_CONST(0xa40b2079, 0xb8f88e89, 0xa7617997, 0x89baf5ae, 0x174df343, 0x75138eae, 0x2711595d, 0x3fc3e66c),
+ SECP256K1_FE_CONST(0x9f99c6a5, 0x6d685267, 0xd4b87c37, 0x9d9c4576, 0x358c692b, 0x6bbae0ed, 0x3389c93d, 0x7fdd2655)},
+ {SECP256K1_FE_CONST(0x7c74c6b6, 0xe98d9151, 0x72645cf1, 0x7f06e321, 0xcefee074, 0x15b2113a, 0x10a9be07, 0x08a45696),
+ SECP256K1_FE_CONST(0x8c919a88, 0x898bc1e0, 0x77f26f97, 0x12e655b7, 0x9ba0ac40, 0xe15bb19e, 0x8364cc3b, 0xe227a8ee)},
+ {SECP256K1_FE_CONST(0x109ba1ce, 0xdafa6d4a, 0xa1cec2b2, 0xeb1069f4, 0xb7a79e5b, 0xec6eb99b, 0xaec5f643, 0xee0e723e),
+ SECP256K1_FE_CONST(0x93d13eb8, 0x4bb0bcf9, 0xe64f5a71, 0xdbe9f359, 0x7191401c, 0x6f057a4a, 0xa407fe1b, 0x7ecb65cc)},
+ {SECP256K1_FE_CONST(0x3db076cd, 0xec74a5c9, 0xf61dd138, 0x90e23e06, 0xeeedd2d0, 0x74cbc4e0, 0x3dbe1e91, 0xded36a78),
+ SECP256K1_FE_CONST(0x3f07f966, 0x8e2a1e09, 0x706c71df, 0x02b5e9d5, 0xcb92ddbf, 0xcdd53010, 0x16545564, 0xe660b107)},
+ {SECP256K1_FE_CONST(0xe31c73ed, 0xb4c4b82c, 0x02ae35f7, 0x4cdec153, 0x98b522fd, 0xf7d2460c, 0x6bf7c0f8, 0x4cf67b0d),
+ SECP256K1_FE_CONST(0x4b8f1faf, 0x94e8b070, 0x19af0ff6, 0xa319cd31, 0xdf0a7ffb, 0xefaba629, 0x59c50666, 0x1fe5b843)},
+ {SECP256K1_FE_CONST(0x4c8b0e6e, 0x83392ab6, 0xc0e3e9f1, 0xbbd85497, 0x16698897, 0xf552d50d, 0x79652ddb, 0x12f99870),
+ SECP256K1_FE_CONST(0x56d5101f, 0xd23b7949, 0x17dc38d6, 0xf24022ef, 0xcf18e70a, 0x5cc34424, 0x438544c3, 0x62da4bca)},
+ {SECP256K1_FE_CONST(0xb0e040e2, 0x40cc35da, 0x7dd5c611, 0x7fccb178, 0x28888137, 0xbc930358, 0xea2cbc90, 0x775417dc),
+ SECP256K1_FE_CONST(0xca37f0d4, 0x016dd7c8, 0xab3ae576, 0x96e08d69, 0x68ed9155, 0xa9b44270, 0x900ae35d, 0x7c7800cd)},
+ {SECP256K1_FE_CONST(0x8a32ea49, 0x7fbb0bae, 0x69724a9d, 0x8e2105b2, 0xbdf69178, 0x862577ef, 0x35055590, 0x667ddaef),
+ SECP256K1_FE_CONST(0xd02d7ead, 0xc5e190f0, 0x559c9d72, 0xdaef1ffc, 0x64f9f425, 0xf43645ea, 0x7341e08d, 0x11768e96)},
+ {SECP256K1_FE_CONST(0xa3592d98, 0x9abe289d, 0x579ebea6, 0xbb0857a8, 0xe242ab73, 0x85f9a2ce, 0xb6998f0f, 0xbfffbfc6),
+ SECP256K1_FE_CONST(0x093c1533, 0x32032efa, 0x6aa46070, 0x0039599e, 0x589c35f4, 0xff525430, 0x7fe3777a, 0x44b43ddc)},
+ {SECP256K1_FE_CONST(0x647178a3, 0x229e607b, 0xcc98521a, 0xcce3fdd9, 0x1e1bc9c9, 0x97fb7c6a, 0x61b961e0, 0x99b10709),
+ SECP256K1_FE_CONST(0x98217c13, 0xd51ddf78, 0x96310e77, 0xdaebd908, 0x602ca683, 0xcb46d07a, 0xa1fcf17e, 0xc8e2feb3)},
+ {SECP256K1_FE_CONST(0x7334627c, 0x73f98968, 0x99464b4b, 0xf5964958, 0x1b95870d, 0xc658227e, 0x5e3235d8, 0xdcab5787),
+ SECP256K1_FE_CONST(0x000006fd, 0xc7e9dd94, 0x40ae367a, 0xe51d495c, 0x07603b9b, 0x2d088418, 0x6cc5c74c, 0x98514307)},
+ {SECP256K1_FE_CONST(0x82e83876, 0x96c28938, 0xa50dd1c5, 0x605c3ad1, 0xc048637d, 0x7a50825f, 0x335ed01a, 0x00005760),
+ SECP256K1_FE_CONST(0xb0393f9f, 0x9f2aa55e, 0xf5607e2e, 0x5287d961, 0x60b3e704, 0xf3e16e80, 0xb4f9a3ea, 0xfec7f02d)},
+ {SECP256K1_FE_CONST(0xc97b6cec, 0x3ee6b8dc, 0x98d24b58, 0x3c1970a1, 0xfe06297a, 0xae813529, 0xe76bb6bd, 0x771ae51d),
+ SECP256K1_FE_CONST(0x0507c702, 0xd407d097, 0x47ddeb06, 0xf6625419, 0x79f48f79, 0x7bf80d0b, 0xfc34b364, 0x253a5db1)},
+ {SECP256K1_FE_CONST(0xd559af63, 0x77ea9bc4, 0x3cf1ad14, 0x5c7a4bbb, 0x10e7d18b, 0x7ce0dfac, 0x380bb19d, 0x0bb99bd3),
+ SECP256K1_FE_CONST(0x00196119, 0xb9b00d92, 0x34edfdb5, 0xbbdc42fc, 0xd2daa33a, 0x163356ca, 0xaa8754c8, 0xb0ec8b0b)},
+ {SECP256K1_FE_CONST(0x8ddfa3dc, 0x52918da0, 0x640519dc, 0x0af8512a, 0xca2d33b2, 0xbde52514, 0xda9c0afc, 0xcb29fce4),
+ SECP256K1_FE_CONST(0xb3e4878d, 0x5cb69148, 0xcd54388b, 0xc23acce0, 0x62518ba8, 0xf09def92, 0x7b31e6aa, 0x6ba35b02)},
+ {SECP256K1_FE_CONST(0xf8207492, 0xe3049f0a, 0x65285f2b, 0x0bfff996, 0x00ca112e, 0xc05da837, 0x546d41f9, 0x5194fb91),
+ SECP256K1_FE_CONST(0x7b7ee50b, 0xa8ed4bbd, 0xf6469930, 0x81419a5c, 0x071441c7, 0x290d046e, 0x3b82ea41, 0x611c5f95)},
+ {SECP256K1_FE_CONST(0x050f7c80, 0x5bcd3c6b, 0x823cb724, 0x5ce74db7, 0xa4e39f5c, 0xbd8828d7, 0xfd4d3e07, 0x3ec2926a),
+ SECP256K1_FE_CONST(0x000d6730, 0xb0171314, 0x4764053d, 0xee157117, 0x48fd61da, 0xdea0b9db, 0x1d5e91c6, 0xbdc3f59e)},
+ {SECP256K1_FE_CONST(0x3e3ea8eb, 0x05d760cf, 0x23009263, 0xb3cb3ac9, 0x088f6f0d, 0x3fc182a3, 0xbd57087c, 0xe67c62f9),
+ SECP256K1_FE_CONST(0xbe988716, 0xa29c1bf6, 0x4456aed6, 0xab1e4720, 0x49929305, 0x51043bf4, 0xebd833dd, 0xdd511e8b)},
+ {SECP256K1_FE_CONST(0x6964d2a9, 0xa7fa6501, 0xa5959249, 0x142f4029, 0xea0c1b5f, 0x2f487ef6, 0x301ac80a, 0x768be5cd),
+ SECP256K1_FE_CONST(0x3918ffe4, 0x07492543, 0xed24d0b7, 0x3df95f8f, 0xaffd7cb4, 0x0de2191c, 0x9ec2f2ad, 0x2c0cb3c6)},
+ {SECP256K1_FE_CONST(0x37c93520, 0xf6ddca57, 0x2b42fd5e, 0xb5c7e4de, 0x11b5b81c, 0xb95e91f3, 0x95c4d156, 0x39877ccb),
+ SECP256K1_FE_CONST(0x9a94b9b5, 0x57eb71ee, 0x4c975b8b, 0xac5262a8, 0x077b0595, 0xe12a6b1f, 0xd728edef, 0x1a6bf956)}
+ };
+ /* Fixed test cases for scalar inverses: pairs of (x, 1/x) mod n. */
+ static const secp256k1_scalar scalar_cases[][2] = {
+ /* 0 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0),
+ SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0)},
+ /* 1 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1),
+ SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1)},
+ /* -1 */
+ {SECP256K1_SCALAR_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xbaaedce6, 0xaf48a03b, 0xbfd25e8c, 0xd0364140),
+ SECP256K1_SCALAR_CONST(0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0xbaaedce6, 0xaf48a03b, 0xbfd25e8c, 0xd0364140)},
+ /* 2 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 2),
+ SECP256K1_SCALAR_CONST(0x7fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x5d576e73, 0x57a4501d, 0xdfe92f46, 0x681b20a1)},
+ /* 2**128 */
+ {SECP256K1_SCALAR_CONST(0, 0, 0, 1, 0, 0, 0, 0),
+ SECP256K1_SCALAR_CONST(0x50a51ac8, 0x34b9ec24, 0x4b0dff66, 0x5588b13e, 0x9984d5b3, 0xcf80ef0f, 0xd6a23766, 0xa3ee9f22)},
+ /* Input known to need 635 divsteps */
+ {SECP256K1_SCALAR_CONST(0xcb9f1d35, 0xdd4416c2, 0xcd71bf3f, 0x6365da66, 0x3c9b3376, 0x8feb7ae9, 0x32a5ef60, 0x19199ec3),
+ SECP256K1_SCALAR_CONST(0x1d7c7bba, 0xf1893d53, 0xb834bd09, 0x36b411dc, 0x42c2e42f, 0xec72c428, 0x5e189791, 0x8e9bc708)},
+ /* Input known to need 566 divsteps starting with delta=1/2. */
+ {SECP256K1_SCALAR_CONST(0x7e3c993d, 0xa4272488, 0xbc015b49, 0x2db54174, 0xd382083a, 0xebe6db35, 0x80f82eff, 0xcd132c72),
+ SECP256K1_SCALAR_CONST(0x086f34a0, 0x3e631f76, 0x77418f28, 0xcc84ac95, 0x6304439d, 0x365db268, 0x312c6ded, 0xd0b934f8)},
+ /* Input known to need 565 divsteps starting with delta=1/2. */
+ {SECP256K1_SCALAR_CONST(0xbad7e587, 0x3f307859, 0x60d93147, 0x8a18491e, 0xb38a9fd5, 0x254350d3, 0x4b1f0e4b, 0x7dd6edc4),
+ SECP256K1_SCALAR_CONST(0x89f2df26, 0x39e2b041, 0xf19bd876, 0xd039c8ac, 0xc2223add, 0x29c4943e, 0x6632d908, 0x515f467b)},
+ /* Selection of randomly generated inputs that reach low/high d/e values in various configurations. */
+ {SECP256K1_SCALAR_CONST(0x1950d757, 0xb37a5809, 0x435059bb, 0x0bb8997e, 0x07e1e3c8, 0x5e5d7d2c, 0x6a0ed8e3, 0xdbde180e),
+ SECP256K1_SCALAR_CONST(0xbf72af9b, 0x750309e2, 0x8dda230b, 0xfe432b93, 0x7e25e475, 0x4388251e, 0x633d894b, 0x3bcb6f8c)},
+ {SECP256K1_SCALAR_CONST(0x9bccf4e7, 0xc5a515e3, 0x50637aa9, 0xbb65a13f, 0x391749a1, 0x62de7d4e, 0xf6d7eabb, 0x3cd10ce0),
+ SECP256K1_SCALAR_CONST(0xaf2d5623, 0xb6385a33, 0xcd0365be, 0x5e92a70d, 0x7f09179c, 0x3baaf30f, 0x8f9cc83b, 0x20092f67)},
+ {SECP256K1_SCALAR_CONST(0x73a57111, 0xb242952a, 0x5c5dee59, 0xf3be2ace, 0xa30a7659, 0xa46e5f47, 0xd21267b1, 0x39e642c9),
+ SECP256K1_SCALAR_CONST(0xa711df07, 0xcbcf13ef, 0xd61cc6be, 0xbcd058ce, 0xb02cf157, 0x272d4a18, 0x86d0feb3, 0xcd5fa004)},
+ {SECP256K1_SCALAR_CONST(0x04884963, 0xce0580b1, 0xba547030, 0x3c691db3, 0x9cd2c84f, 0x24c7cebd, 0x97ebfdba, 0x3e785ec2),
+ SECP256K1_SCALAR_CONST(0xaaaaaf14, 0xd7c99ba7, 0x517ce2c1, 0x78a28b4c, 0x3769a851, 0xe5c5a03d, 0x4cc28f33, 0x0ec4dc5d)},
+ {SECP256K1_SCALAR_CONST(0x1679ed49, 0x21f537b1, 0x815cb8ae, 0x9efc511c, 0x5b9fa037, 0x0b0f275e, 0x6c985281, 0x6c4a9905),
+ SECP256K1_SCALAR_CONST(0xb14ac3d5, 0x62b52999, 0xef34ead1, 0xffca4998, 0x0294341a, 0x1f8172aa, 0xea1624f9, 0x302eea62)},
+ {SECP256K1_SCALAR_CONST(0x626b37c0, 0xf0057c35, 0xee982f83, 0x452a1fd3, 0xea826506, 0x48b08a9d, 0x1d2c4799, 0x4ad5f6ec),
+ SECP256K1_SCALAR_CONST(0xe38643b7, 0x567bfc2f, 0x5d2f1c15, 0xe327239c, 0x07112443, 0x69509283, 0xfd98e77a, 0xdb71c1e8)},
+ {SECP256K1_SCALAR_CONST(0x1850a3a7, 0x759efc56, 0x54f287b2, 0x14d1234b, 0xe263bbc9, 0xcf4d8927, 0xd5f85f27, 0x965bd816),
+ SECP256K1_SCALAR_CONST(0x3b071831, 0xcac9619a, 0xcceb0596, 0xf614d63b, 0x95d0db2f, 0xc6a00901, 0x8eaa2621, 0xabfa0009)},
+ {SECP256K1_SCALAR_CONST(0x94ae5d06, 0xa27dc400, 0x487d72be, 0xaa51ebed, 0xe475b5c0, 0xea675ffc, 0xf4df627a, 0xdca4222f),
+ SECP256K1_SCALAR_CONST(0x01b412ed, 0xd7830956, 0x1532537e, 0xe5e3dc99, 0x8fd3930a, 0x54f8d067, 0x32ef5760, 0x594438a5)},
+ {SECP256K1_SCALAR_CONST(0x1f24278a, 0xb5bfe374, 0xa328dbbc, 0xebe35f48, 0x6620e009, 0xd58bb1b4, 0xb5a6bf84, 0x8815f63a),
+ SECP256K1_SCALAR_CONST(0xfe928416, 0xca5ba2d3, 0xfde513da, 0x903a60c7, 0x9e58ad8a, 0x8783bee4, 0x083a3843, 0xa608c914)},
+ {SECP256K1_SCALAR_CONST(0xdc107d58, 0x274f6330, 0x67dba8bc, 0x26093111, 0x5201dfb8, 0x968ce3f5, 0xf34d1bd4, 0xf2146504),
+ SECP256K1_SCALAR_CONST(0x660cfa90, 0x13c3d93e, 0x7023b1e5, 0xedd09e71, 0x6d9c9d10, 0x7a3d2cdb, 0xdd08edc3, 0xaa78fcfb)},
+ {SECP256K1_SCALAR_CONST(0x7cd1e905, 0xc6f02776, 0x2f551cc7, 0x5da61cff, 0x7da05389, 0x1119d5a4, 0x631c7442, 0x894fd4f7),
+ SECP256K1_SCALAR_CONST(0xff20862a, 0x9d3b1a37, 0x1628803b, 0x3004ccae, 0xaa23282a, 0xa89a1109, 0xd94ece5e, 0x181bdc46)},
+ {SECP256K1_SCALAR_CONST(0x5b9dade8, 0x23d26c58, 0xcd12d818, 0x25b8ae97, 0x3dea04af, 0xf482c96b, 0xa062f254, 0x9e453640),
+ SECP256K1_SCALAR_CONST(0x50c38800, 0x15fa53f4, 0xbe1e5392, 0x5c9b120a, 0x262c22c7, 0x18fa0816, 0x5f2baab4, 0x8cb5db46)},
+ {SECP256K1_SCALAR_CONST(0x11cdaeda, 0x969c464b, 0xef1f4ab0, 0x5b01d22e, 0x656fd098, 0x882bea84, 0x65cdbe7a, 0x0c19ff03),
+ SECP256K1_SCALAR_CONST(0x1968d0fa, 0xac46f103, 0xb55f1f72, 0xb3820bed, 0xec6b359a, 0x4b1ae0ad, 0x7e38e1fb, 0x295ccdfb)},
+ {SECP256K1_SCALAR_CONST(0x2c351aa1, 0x26e91589, 0x194f8a1e, 0x06561f66, 0x0cb97b7f, 0x10914454, 0x134d1c03, 0x157266b4),
+ SECP256K1_SCALAR_CONST(0xbe49ada6, 0x92bd8711, 0x41b176c4, 0xa478ba95, 0x14883434, 0x9d1cd6f3, 0xcc4b847d, 0x22af80f5)},
+ {SECP256K1_SCALAR_CONST(0x6ba07c6e, 0x13a60edb, 0x6247f5c3, 0x84b5fa56, 0x76fe3ec5, 0x80426395, 0xf65ec2ae, 0x623ba730),
+ SECP256K1_SCALAR_CONST(0x25ac23f7, 0x418cd747, 0x98376f9d, 0x4a11c7bf, 0x24c8ebfe, 0x4c8a8655, 0x345f4f52, 0x1c515595)},
+ {SECP256K1_SCALAR_CONST(0x9397a712, 0x8abb6951, 0x2d4a3d54, 0x703b1c2a, 0x0661dca8, 0xd75c9b31, 0xaed4d24b, 0xd2ab2948),
+ SECP256K1_SCALAR_CONST(0xc52e8bef, 0xd55ce3eb, 0x1c897739, 0xeb9fb606, 0x36b9cd57, 0x18c51cc2, 0x6a87489e, 0xffd0dcf3)},
+ {SECP256K1_SCALAR_CONST(0xe6a808cc, 0xeb437888, 0xe97798df, 0x4e224e44, 0x7e3b380a, 0x207c1653, 0x889f3212, 0xc6738b6f),
+ SECP256K1_SCALAR_CONST(0x31f9ae13, 0xd1e08b20, 0x757a2e5e, 0x5243a0eb, 0x8ae35f73, 0x19bb6122, 0xb910f26b, 0xda70aa55)},
+ {SECP256K1_SCALAR_CONST(0xd0320548, 0xab0effe7, 0xa70779e0, 0x61a347a6, 0xb8c1e010, 0x9d5281f8, 0x2ee588a6, 0x80000000),
+ SECP256K1_SCALAR_CONST(0x1541897e, 0x78195c90, 0x7583dd9e, 0x728b6100, 0xbce8bc6d, 0x7a53b471, 0x5dcd9e45, 0x4425fcaf)},
+ {SECP256K1_SCALAR_CONST(0x93d623f1, 0xd45b50b0, 0x796e9186, 0x9eac9407, 0xd30edc20, 0xef6304cf, 0x250494e7, 0xba503de9),
+ SECP256K1_SCALAR_CONST(0x7026d638, 0x1178b548, 0x92043952, 0x3c7fb47c, 0xcd3ea236, 0x31d82b01, 0x612fc387, 0x80b9b957)},
+ {SECP256K1_SCALAR_CONST(0xf860ab39, 0x55f5d412, 0xa4d73bcc, 0x3b48bd90, 0xc248ffd3, 0x13ca10be, 0x8fba84cc, 0xdd28d6a3),
+ SECP256K1_SCALAR_CONST(0x5c32fc70, 0xe0b15d67, 0x76694700, 0xfe62be4d, 0xeacdb229, 0x7a4433d9, 0x52155cd0, 0x7649ab59)},
+ {SECP256K1_SCALAR_CONST(0x4e41311c, 0x0800af58, 0x7a690a8e, 0xe175c9ba, 0x6981ab73, 0xac532ea8, 0x5c1f5e63, 0x6ac1f189),
+ SECP256K1_SCALAR_CONST(0xfffffff9, 0xd075982c, 0x7fbd3825, 0xc05038a2, 0x4533b91f, 0x94ec5f45, 0xb280b28f, 0x842324dc)},
+ {SECP256K1_SCALAR_CONST(0x48e473bf, 0x3555eade, 0xad5d7089, 0x2424c4e4, 0x0a99397c, 0x2dc796d8, 0xb7a43a69, 0xd0364141),
+ SECP256K1_SCALAR_CONST(0x634976b2, 0xa0e47895, 0x1ec38593, 0x266d6fd0, 0x6f602644, 0x9bb762f1, 0x7180c704, 0xe23a4daa)},
+ {SECP256K1_SCALAR_CONST(0xbe83878d, 0x3292fc54, 0x26e71c62, 0x556ccedc, 0x7cbb8810, 0x4032a720, 0x34ead589, 0xe4d6bd13),
+ SECP256K1_SCALAR_CONST(0x6cd150ad, 0x25e59d0f, 0x74cbae3d, 0x6377534a, 0x1e6562e8, 0xb71b9d18, 0xe1e5d712, 0x8480abb3)},
+ {SECP256K1_SCALAR_CONST(0xcdddf2e5, 0xefc15f88, 0xc9ee06de, 0x8a846ca9, 0x28561581, 0x68daa5fb, 0xd1cf3451, 0xeb1782d0),
+ SECP256K1_SCALAR_CONST(0xffffffd9, 0xed8d2af4, 0x993c865a, 0x23e9681a, 0x3ca3a3dc, 0xe6d5a46e, 0xbd86bd87, 0x61b55c70)},
+ {SECP256K1_SCALAR_CONST(0xb6a18f1f, 0x04872df9, 0x08165ec4, 0x319ca19c, 0x6c0359ab, 0x1f7118fb, 0xc2ef8082, 0xca8b7785),
+ SECP256K1_SCALAR_CONST(0xff55b19b, 0x0f1ac78c, 0x0f0c88c2, 0x2358d5ad, 0x5f455e4e, 0x3330b72f, 0x274dc153, 0xffbf272b)},
+ {SECP256K1_SCALAR_CONST(0xea4898e5, 0x30eba3e8, 0xcf0e5c3d, 0x06ec6844, 0x01e26fb6, 0x75636225, 0xc5d08f4c, 0x1decafa0),
+ SECP256K1_SCALAR_CONST(0xe5a014a8, 0xe3c4ec1e, 0xea4f9b32, 0xcfc7b386, 0x00630806, 0x12c08d02, 0x6407ccc2, 0xb067d90e)},
+ {SECP256K1_SCALAR_CONST(0x70e9aea9, 0x7e933af0, 0x8a23bfab, 0x23e4b772, 0xff951863, 0x5ffcf47d, 0x6bebc918, 0x2ca58265),
+ SECP256K1_SCALAR_CONST(0xf4e00006, 0x81bc6441, 0x4eb6ec02, 0xc194a859, 0x80ad7c48, 0xba4e9afb, 0x8b6bdbe0, 0x989d8f77)},
+ {SECP256K1_SCALAR_CONST(0x3c56c774, 0x46efe6f0, 0xe93618b8, 0xf9b5a846, 0xd247df61, 0x83b1e215, 0x06dc8bcc, 0xeefc1bf5),
+ SECP256K1_SCALAR_CONST(0xfff8937a, 0x2cd9586b, 0x43c25e57, 0xd1cefa7a, 0x9fb91ed3, 0x95b6533d, 0x8ad0de5b, 0xafb93f00)},
+ {SECP256K1_SCALAR_CONST(0xfb5c2772, 0x5cb30e83, 0xe38264df, 0xe4e3ebf3, 0x392aa92e, 0xa68756a1, 0x51279ac5, 0xb50711a8),
+ SECP256K1_SCALAR_CONST(0x000013af, 0x1105bfe7, 0xa6bbd7fb, 0x3d638f99, 0x3b266b02, 0x072fb8bc, 0x39251130, 0x2e0fd0ea)}
+ };
+ int i, var, testrand;
+ unsigned char b32[32];
+ secp256k1_fe x_fe;
+ secp256k1_scalar x_scalar;
+ memset(b32, 0, sizeof(b32));
+ /* Test fixed test cases through test_inverse_{scalar,field}, both ways. */
+ for (i = 0; (size_t)i < sizeof(fe_cases)/sizeof(fe_cases[0]); ++i) {
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_field(&x_fe, &fe_cases[i][0], var);
+ check_fe_equal(&x_fe, &fe_cases[i][1]);
+ test_inverse_field(&x_fe, &fe_cases[i][1], var);
+ check_fe_equal(&x_fe, &fe_cases[i][0]);
+ }
+ }
+ for (i = 0; (size_t)i < sizeof(scalar_cases)/sizeof(scalar_cases[0]); ++i) {
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(&x_scalar, &scalar_cases[i][0], var);
+ CHECK(secp256k1_scalar_eq(&x_scalar, &scalar_cases[i][1]));
+ test_inverse_scalar(&x_scalar, &scalar_cases[i][1], var);
+ CHECK(secp256k1_scalar_eq(&x_scalar, &scalar_cases[i][0]));
+ }
+ }
+ /* Test inputs 0..999 and their respective negations. */
+ for (i = 0; i < 1000; ++i) {
+ b32[31] = i & 0xff;
+ b32[30] = (i >> 8) & 0xff;
+ secp256k1_scalar_set_b32(&x_scalar, b32, NULL);
+ secp256k1_fe_set_b32(&x_fe, b32);
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(NULL, &x_scalar, var);
+ test_inverse_field(NULL, &x_fe, var);
+ }
+ secp256k1_scalar_negate(&x_scalar, &x_scalar);
+ secp256k1_fe_negate(&x_fe, &x_fe, 1);
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(NULL, &x_scalar, var);
+ test_inverse_field(NULL, &x_fe, var);
+ }
+ }
+ /* test 128*count random inputs; half with testrand256_test, half with testrand256 */
+ for (testrand = 0; testrand <= 1; ++testrand) {
+ for (i = 0; i < 64 * count; ++i) {
+ (testrand ? secp256k1_testrand256_test : secp256k1_testrand256)(b32);
+ secp256k1_scalar_set_b32(&x_scalar, b32, NULL);
+ secp256k1_fe_set_b32(&x_fe, b32);
+ for (var = 0; var <= 1; ++var) {
+ test_inverse_scalar(NULL, &x_scalar, var);
+ test_inverse_field(NULL, &x_fe, var);
+ }
+ }
+ }
+}
+
/***** GROUP TESTS *****/
void ge_equals_ge(const secp256k1_ge *a, const secp256k1_ge *b) {
@@ -2111,7 +3041,6 @@ void test_ge(void) {
*/
secp256k1_ge *ge = (secp256k1_ge *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_ge) * (1 + 4 * runs));
secp256k1_gej *gej = (secp256k1_gej *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_gej) * (1 + 4 * runs));
- secp256k1_fe *zinv = (secp256k1_fe *)checked_malloc(&ctx->error_callback, sizeof(secp256k1_fe) * (1 + 4 * runs));
secp256k1_fe zf;
secp256k1_fe zfi2, zfi3;
@@ -2145,23 +3074,6 @@ void test_ge(void) {
}
}
- /* Compute z inverses. */
- {
- secp256k1_fe *zs = checked_malloc(&ctx->error_callback, sizeof(secp256k1_fe) * (1 + 4 * runs));
- for (i = 0; i < 4 * runs + 1; i++) {
- if (i == 0) {
- /* The point at infinity does not have a meaningful z inverse. Any should do. */
- do {
- random_field_element_test(&zs[i]);
- } while(secp256k1_fe_is_zero(&zs[i]));
- } else {
- zs[i] = gej[i].z;
- }
- }
- secp256k1_fe_inv_all_var(zinv, zs, 4 * runs + 1);
- free(zs);
- }
-
/* Generate random zf, and zfi2 = 1/zf^2, zfi3 = 1/zf^3 */
do {
random_field_element_test(&zf);
@@ -2270,16 +3182,9 @@ void test_ge(void) {
free(gej_shuffled);
}
- /* Test batch gej -> ge conversion with and without known z ratios. */
+ /* Test batch gej -> ge conversion without known z ratios. */
{
- secp256k1_fe *zr = (secp256k1_fe *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_fe));
secp256k1_ge *ge_set_all = (secp256k1_ge *)checked_malloc(&ctx->error_callback, (4 * runs + 1) * sizeof(secp256k1_ge));
- for (i = 0; i < 4 * runs + 1; i++) {
- /* Compute gej[i + 1].z / gez[i].z (with gej[n].z taken to be 1). */
- if (i < 4 * runs) {
- secp256k1_fe_mul(&zr[i + 1], &zinv[i], &gej[i + 1].z);
- }
- }
secp256k1_ge_set_all_gej_var(ge_set_all, gej, 4 * runs + 1);
for (i = 0; i < 4 * runs + 1; i++) {
secp256k1_fe s;
@@ -2288,28 +3193,40 @@ void test_ge(void) {
ge_equals_gej(&ge_set_all[i], &gej[i]);
}
free(ge_set_all);
- free(zr);
}
/* Test batch gej -> ge conversion with many infinities. */
for (i = 0; i < 4 * runs + 1; i++) {
+ int odd;
random_group_element_test(&ge[i]);
+ odd = secp256k1_fe_is_odd(&ge[i].x);
+ CHECK(odd == 0 || odd == 1);
/* randomly set half the points to infinity */
- if(secp256k1_fe_is_odd(&ge[i].x)) {
+ if (odd == i % 2) {
secp256k1_ge_set_infinity(&ge[i]);
}
secp256k1_gej_set_ge(&gej[i], &ge[i]);
}
- /* batch invert */
+ /* batch convert */
secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1);
/* check result */
for (i = 0; i < 4 * runs + 1; i++) {
ge_equals_gej(&ge[i], &gej[i]);
}
+ /* Test batch gej -> ge conversion with all infinities. */
+ for (i = 0; i < 4 * runs + 1; i++) {
+ secp256k1_gej_set_infinity(&gej[i]);
+ }
+ /* batch convert */
+ secp256k1_ge_set_all_gej_var(ge, gej, 4 * runs + 1);
+ /* check result */
+ for (i = 0; i < 4 * runs + 1; i++) {
+ CHECK(secp256k1_ge_is_infinity(&ge[i]));
+ }
+
free(ge);
free(gej);
- free(zinv);
}
@@ -2318,7 +3235,7 @@ void test_intialized_inf(void) {
secp256k1_gej pj, npj, infj1, infj2, infj3;
secp256k1_fe zinv;
- /* Test that adding P+(-P) results in a fully initalized infinity*/
+ /* Test that adding P+(-P) results in a fully initialized infinity*/
random_group_element_test(&p);
secp256k1_gej_set_ge(&pj, &p);
secp256k1_gej_neg(&npj, &pj);
@@ -2456,64 +3373,35 @@ void run_ec_combine(void) {
void test_group_decompress(const secp256k1_fe* x) {
/* The input itself, normalized. */
secp256k1_fe fex = *x;
- secp256k1_fe fez;
- /* Results of set_xquad_var, set_xo_var(..., 0), set_xo_var(..., 1). */
- secp256k1_ge ge_quad, ge_even, ge_odd;
- secp256k1_gej gej_quad;
+ /* Results of set_xo_var(..., 0), set_xo_var(..., 1). */
+ secp256k1_ge ge_even, ge_odd;
/* Return values of the above calls. */
- int res_quad, res_even, res_odd;
+ int res_even, res_odd;
secp256k1_fe_normalize_var(&fex);
- res_quad = secp256k1_ge_set_xquad(&ge_quad, &fex);
res_even = secp256k1_ge_set_xo_var(&ge_even, &fex, 0);
res_odd = secp256k1_ge_set_xo_var(&ge_odd, &fex, 1);
- CHECK(res_quad == res_even);
- CHECK(res_quad == res_odd);
+ CHECK(res_even == res_odd);
- if (res_quad) {
- secp256k1_fe_normalize_var(&ge_quad.x);
+ if (res_even) {
secp256k1_fe_normalize_var(&ge_odd.x);
secp256k1_fe_normalize_var(&ge_even.x);
- secp256k1_fe_normalize_var(&ge_quad.y);
secp256k1_fe_normalize_var(&ge_odd.y);
secp256k1_fe_normalize_var(&ge_even.y);
/* No infinity allowed. */
- CHECK(!ge_quad.infinity);
CHECK(!ge_even.infinity);
CHECK(!ge_odd.infinity);
/* Check that the x coordinates check out. */
- CHECK(secp256k1_fe_equal_var(&ge_quad.x, x));
CHECK(secp256k1_fe_equal_var(&ge_even.x, x));
CHECK(secp256k1_fe_equal_var(&ge_odd.x, x));
- /* Check that the Y coordinate result in ge_quad is a square. */
- CHECK(secp256k1_fe_is_quad_var(&ge_quad.y));
-
/* Check odd/even Y in ge_odd, ge_even. */
CHECK(secp256k1_fe_is_odd(&ge_odd.y));
CHECK(!secp256k1_fe_is_odd(&ge_even.y));
-
- /* Check secp256k1_gej_has_quad_y_var. */
- secp256k1_gej_set_ge(&gej_quad, &ge_quad);
- CHECK(secp256k1_gej_has_quad_y_var(&gej_quad));
- do {
- random_fe_test(&fez);
- } while (secp256k1_fe_is_zero(&fez));
- secp256k1_gej_rescale(&gej_quad, &fez);
- CHECK(secp256k1_gej_has_quad_y_var(&gej_quad));
- secp256k1_gej_neg(&gej_quad, &gej_quad);
- CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad));
- do {
- random_fe_test(&fez);
- } while (secp256k1_fe_is_zero(&fez));
- secp256k1_gej_rescale(&gej_quad, &fez);
- CHECK(!secp256k1_gej_has_quad_y_var(&gej_quad));
- secp256k1_gej_neg(&gej_quad, &gej_quad);
- CHECK(secp256k1_gej_has_quad_y_var(&gej_quad));
}
}
@@ -2528,6 +3416,80 @@ void run_group_decompress(void) {
/***** ECMULT TESTS *****/
+void test_pre_g_table(const secp256k1_ge_storage * pre_g, size_t n) {
+ /* Tests the pre_g / pre_g_128 tables for consistency.
+ * For independent verification we take a "geometric" approach to verification.
+ * We check that every entry is on-curve.
+ * We check that for consecutive entries p and q, that p + gg - q = 0 by checking
+ * (1) p, gg, and -q are colinear.
+ * (2) p, gg, and -q are all distinct.
+ * where gg is twice the generator, where the generator is the first table entry.
+ *
+ * Checking the table's generators are correct is done in run_ecmult_pre_g.
+ */
+ secp256k1_gej g2;
+ secp256k1_ge p, q, gg;
+ secp256k1_fe dpx, dpy, dqx, dqy;
+ size_t i;
+
+ CHECK(0 < n);
+
+ secp256k1_ge_from_storage(&p, &pre_g[0]);
+ CHECK(secp256k1_ge_is_valid_var(&p));
+
+ secp256k1_gej_set_ge(&g2, &p);
+ secp256k1_gej_double_var(&g2, &g2, NULL);
+ secp256k1_ge_set_gej_var(&gg, &g2);
+ for (i = 1; i < n; ++i) {
+ secp256k1_fe_negate(&dpx, &p.x, 1); secp256k1_fe_add(&dpx, &gg.x); secp256k1_fe_normalize_weak(&dpx);
+ secp256k1_fe_negate(&dpy, &p.y, 1); secp256k1_fe_add(&dpy, &gg.y); secp256k1_fe_normalize_weak(&dpy);
+ /* Check that p is not equal to gg */
+ CHECK(!secp256k1_fe_normalizes_to_zero_var(&dpx) || !secp256k1_fe_normalizes_to_zero_var(&dpy));
+
+ secp256k1_ge_from_storage(&q, &pre_g[i]);
+ CHECK(secp256k1_ge_is_valid_var(&q));
+
+ secp256k1_fe_negate(&dqx, &q.x, 1); secp256k1_fe_add(&dqx, &gg.x); secp256k1_fe_normalize_weak(&dqx);
+ dqy = q.y; secp256k1_fe_add(&dqy, &gg.y); secp256k1_fe_normalize_weak(&dqy);
+ /* Check that -q is not equal to gg */
+ CHECK(!secp256k1_fe_normalizes_to_zero_var(&dqx) || !secp256k1_fe_normalizes_to_zero_var(&dqy));
+
+ /* Check that -q is not equal to p */
+ CHECK(!secp256k1_fe_equal_var(&dpx, &dqx) || !secp256k1_fe_equal_var(&dpy, &dqy));
+
+ /* Check that p, -q and gg are colinear */
+ secp256k1_fe_mul(&dpx, &dpx, &dqy);
+ secp256k1_fe_mul(&dpy, &dpy, &dqx);
+ CHECK(secp256k1_fe_equal_var(&dpx, &dpy));
+
+ p = q;
+ }
+}
+
+void run_ecmult_pre_g(void) {
+ secp256k1_ge_storage gs;
+ secp256k1_gej gj;
+ secp256k1_ge g;
+ size_t i;
+
+ /* Check that the pre_g and pre_g_128 tables are consistent. */
+ test_pre_g_table(secp256k1_pre_g, ECMULT_TABLE_SIZE(WINDOW_G));
+ test_pre_g_table(secp256k1_pre_g_128, ECMULT_TABLE_SIZE(WINDOW_G));
+
+ /* Check the first entry from the pre_g table. */
+ secp256k1_ge_to_storage(&gs, &secp256k1_ge_const_g);
+ CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g[0], sizeof(gs)) == 0);
+
+ /* Check the first entry from the pre_g_128 table. */
+ secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g);
+ for (i = 0; i < 128; ++i) {
+ secp256k1_gej_double_var(&gj, &gj, NULL);
+ }
+ secp256k1_ge_set_gej(&g, &gj);
+ secp256k1_ge_to_storage(&gs, &g);
+ CHECK(secp256k1_memcmp_var(&gs, &secp256k1_pre_g_128[0], sizeof(gs)) == 0);
+}
+
void run_ecmult_chain(void) {
/* random starting point A (on the curve) */
secp256k1_gej a = SECP256K1_GEJ_CONST(
@@ -2560,7 +3522,7 @@ void run_ecmult_chain(void) {
x = a;
for (i = 0; i < 200*count; i++) {
/* in each iteration, compute X = xn*X + gn*G; */
- secp256k1_ecmult(&ctx->ecmult_ctx, &x, &x, &xn, &gn);
+ secp256k1_ecmult(&x, &x, &xn, &gn);
/* also compute ae and ge: the actual accumulated factors for A and G */
/* if X was (ae*A+ge*G), xn*X + gn*G results in (xn*ae*A + (xn*ge+gn)*G) */
secp256k1_scalar_mul(&ae, &ae, &xn);
@@ -2586,7 +3548,7 @@ void run_ecmult_chain(void) {
}
}
/* redo the computation, but directly with the resulting ae and ge coefficients: */
- secp256k1_ecmult(&ctx->ecmult_ctx, &x2, &a, &ae, &ge);
+ secp256k1_ecmult(&x2, &a, &ae, &ge);
secp256k1_gej_neg(&x2, &x2);
secp256k1_gej_add_var(&x2, &x2, &x, NULL);
CHECK(secp256k1_gej_is_infinity(&x2));
@@ -2604,8 +3566,8 @@ void test_point_times_order(const secp256k1_gej *point) {
size_t psize = 65;
random_scalar_order_test(&x);
secp256k1_scalar_negate(&nx, &x);
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &x, &x); /* calc res1 = x * point + x * G; */
- secp256k1_ecmult(&ctx->ecmult_ctx, &res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */
+ secp256k1_ecmult(&res1, point, &x, &x); /* calc res1 = x * point + x * G; */
+ secp256k1_ecmult(&res2, point, &nx, &nx); /* calc res2 = (order - x) * point + (order - x) * G; */
secp256k1_gej_add_var(&res1, &res1, &res2, NULL);
CHECK(secp256k1_gej_is_infinity(&res1));
secp256k1_ge_set_gej(&res3, &res1);
@@ -2615,13 +3577,13 @@ void test_point_times_order(const secp256k1_gej *point) {
psize = 65;
CHECK(secp256k1_eckey_pubkey_serialize(&res3, pub, &psize, 1) == 0);
/* check zero/one edge cases */
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &zero);
+ secp256k1_ecmult(&res1, point, &zero, &zero);
secp256k1_ge_set_gej(&res3, &res1);
CHECK(secp256k1_ge_is_infinity(&res3));
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &one, &zero);
+ secp256k1_ecmult(&res1, point, &one, &zero);
secp256k1_ge_set_gej(&res3, &res1);
ge_equals_gej(&res3, point);
- secp256k1_ecmult(&ctx->ecmult_ctx, &res1, point, &zero, &one);
+ secp256k1_ecmult(&res1, point, &zero, &one);
secp256k1_ge_set_gej(&res3, &res1);
ge_equals_ge(&res3, &secp256k1_ge_const_g);
}
@@ -2680,9 +3642,9 @@ void test_ecmult_target(const secp256k1_scalar* target, int mode) {
secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &p2j, &n2);
secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &ptj, target);
} else if (mode == 1) {
- secp256k1_ecmult(&ctx->ecmult_ctx, &p1j, &pj, &n1, &zero);
- secp256k1_ecmult(&ctx->ecmult_ctx, &p2j, &pj, &n2, &zero);
- secp256k1_ecmult(&ctx->ecmult_ctx, &ptj, &pj, target, &zero);
+ secp256k1_ecmult(&p1j, &pj, &n1, &zero);
+ secp256k1_ecmult(&p2j, &pj, &n2, &zero);
+ secp256k1_ecmult(&ptj, &pj, target, &zero);
} else {
secp256k1_ecmult_const(&p1j, &p, &n1, 256);
secp256k1_ecmult_const(&p2j, &p, &n2, 256);
@@ -2865,7 +3827,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
secp256k1_scalar_set_int(&szero, 0);
/* No points to multiply */
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, NULL, ecmult_multi_callback, &data, 0));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, NULL, ecmult_multi_callback, &data, 0));
/* Check 1- and 2-point multiplies against ecmult */
for (ncount = 0; ncount < count; ncount++) {
@@ -2880,32 +3842,32 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
pt[1] = secp256k1_ge_const_g;
/* only G scalar */
- secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &szero, &sc[0]);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0));
+ secp256k1_ecmult(&r2, &ptgj, &szero, &sc[0]);
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &sc[0], ecmult_multi_callback, &data, 0));
secp256k1_gej_neg(&r2, &r2);
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
/* 1-point */
- secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &szero);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 1));
+ secp256k1_ecmult(&r2, &ptgj, &sc[0], &szero);
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 1));
secp256k1_gej_neg(&r2, &r2);
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
/* Try to multiply 1 point, but callback returns false */
- CHECK(!ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1));
+ CHECK(!ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_false_callback, &data, 1));
/* 2-point */
- secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 2));
+ secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]);
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 2));
secp256k1_gej_neg(&r2, &r2);
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
/* 2-point with G scalar */
- secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &ptgj, &sc[0], &sc[1]);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1));
+ secp256k1_ecmult(&r2, &ptgj, &sc[0], &sc[1]);
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &sc[1], ecmult_multi_callback, &data, 1));
secp256k1_gej_neg(&r2, &r2);
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
@@ -2922,7 +3884,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
random_scalar_order(&sc[i]);
secp256k1_ge_set_infinity(&pt[i]);
}
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
CHECK(secp256k1_gej_is_infinity(&r));
}
@@ -2932,7 +3894,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
pt[i] = ptg;
secp256k1_scalar_set_int(&sc[i], 0);
}
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
CHECK(secp256k1_gej_is_infinity(&r));
}
@@ -2945,7 +3907,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
pt[2 * i + 1] = ptg;
}
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
CHECK(secp256k1_gej_is_infinity(&r));
random_scalar_order(&sc[0]);
@@ -2958,7 +3920,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
secp256k1_ge_neg(&pt[2*i+1], &pt[2*i]);
}
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, sizes[j]));
CHECK(secp256k1_gej_is_infinity(&r));
}
@@ -2973,7 +3935,7 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
secp256k1_scalar_negate(&sc[i], &sc[i]);
}
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 32));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 32));
CHECK(secp256k1_gej_is_infinity(&r));
}
@@ -2991,8 +3953,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
secp256k1_gej_add_ge_var(&r, &r, &pt[i], NULL);
}
- secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r, &sc[0], &szero);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
+ secp256k1_ecmult(&r2, &r, &sc[0], &szero);
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
secp256k1_gej_neg(&r2, &r2);
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
@@ -3014,8 +3976,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
}
secp256k1_gej_set_ge(&p0j, &pt[0]);
- secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &p0j, &rs, &szero);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
+ secp256k1_ecmult(&r2, &p0j, &rs, &szero);
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
secp256k1_gej_neg(&r2, &r2);
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
@@ -3028,13 +3990,13 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
}
secp256k1_scalar_clear(&sc[0]);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 20));
secp256k1_scalar_clear(&sc[1]);
secp256k1_scalar_clear(&sc[2]);
secp256k1_scalar_clear(&sc[3]);
secp256k1_scalar_clear(&sc[4]);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 6));
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &szero, ecmult_multi_callback, &data, 5));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 6));
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &r, &szero, ecmult_multi_callback, &data, 5));
CHECK(secp256k1_gej_is_infinity(&r));
/* Run through s0*(t0*P) + s1*(t1*P) exhaustively for many small values of s0, s1, t0, t1 */
@@ -3058,8 +4020,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
secp256k1_scalar_set_int(&t1, (t1i + 1) / 2);
secp256k1_scalar_cond_negate(&t1, t1i & 1);
- secp256k1_ecmult(&ctx->ecmult_ctx, &t0p, &ptgj, &t0, &szero);
- secp256k1_ecmult(&ctx->ecmult_ctx, &t1p, &ptgj, &t1, &szero);
+ secp256k1_ecmult(&t0p, &ptgj, &t0, &szero);
+ secp256k1_ecmult(&t1p, &ptgj, &t1, &szero);
for(s0i = 0; s0i < TOP; s0i++) {
for(s1i = 0; s1i < TOP; s1i++) {
@@ -3078,8 +4040,8 @@ void test_ecmult_multi(secp256k1_scratch *scratch, secp256k1_ecmult_multi_func e
secp256k1_scalar_mul(&tmp2, &t1, &sc[1]);
secp256k1_scalar_add(&tmp1, &tmp1, &tmp2);
- secp256k1_ecmult(&ctx->ecmult_ctx, &expected, &ptgj, &tmp1, &szero);
- CHECK(ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &actual, &szero, ecmult_multi_callback, &data, 2));
+ secp256k1_ecmult(&expected, &ptgj, &tmp1, &szero);
+ CHECK(ecmult_multi(&ctx->error_callback, scratch, &actual, &szero, ecmult_multi_callback, &data, 2));
secp256k1_gej_neg(&expected, &expected);
secp256k1_gej_add_var(&actual, &actual, &expected, NULL);
CHECK(secp256k1_gej_is_infinity(&actual));
@@ -3106,7 +4068,7 @@ void test_ecmult_multi_batch_single(secp256k1_ecmult_multi_func ecmult_multi) {
/* Try to multiply 1 point, but scratch space is empty.*/
scratch_empty = secp256k1_scratch_create(&ctx->error_callback, 0);
- CHECK(!ecmult_multi(&ctx->error_callback, &ctx->ecmult_ctx, scratch_empty, &r, &szero, ecmult_multi_callback, &data, 1));
+ CHECK(!ecmult_multi(&ctx->error_callback, scratch_empty, &r, &szero, ecmult_multi_callback, &data, 1));
secp256k1_scratch_destroy(&ctx->error_callback, scratch_empty);
}
@@ -3228,7 +4190,7 @@ void test_ecmult_multi_batching(void) {
/* Get random scalars and group elements and compute result */
random_scalar_order(&scG);
- secp256k1_ecmult(&ctx->ecmult_ctx, &r2, &r2, &szero, &scG);
+ secp256k1_ecmult(&r2, &r2, &szero, &scG);
for(i = 0; i < n_points; i++) {
secp256k1_ge ptg;
secp256k1_gej ptgj;
@@ -3236,7 +4198,7 @@ void test_ecmult_multi_batching(void) {
secp256k1_gej_set_ge(&ptgj, &ptg);
pt[i] = ptg;
random_scalar_order(&sc[i]);
- secp256k1_ecmult(&ctx->ecmult_ctx, &ptgj, &ptgj, &sc[i], NULL);
+ secp256k1_ecmult(&ptgj, &ptgj, &sc[i], NULL);
secp256k1_gej_add_var(&r2, &r2, &ptgj, NULL);
}
data.sc = sc;
@@ -3246,7 +4208,7 @@ void test_ecmult_multi_batching(void) {
/* Test with empty scratch space. It should compute the correct result using
* ecmult_mult_simple algorithm which doesn't require a scratch space. */
scratch = secp256k1_scratch_create(&ctx->error_callback, 0);
- CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
+ CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
secp256k1_scratch_destroy(&ctx->error_callback, scratch);
@@ -3255,7 +4217,7 @@ void test_ecmult_multi_batching(void) {
* ecmult_multi selects strauss which requires more memory. It should
* therefore select the simple algorithm. */
scratch = secp256k1_scratch_create(&ctx->error_callback, secp256k1_pippenger_scratch_size(1, 1) + PIPPENGER_SCRATCH_OBJECTS*ALIGNMENT);
- CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
+ CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
secp256k1_scratch_destroy(&ctx->error_callback, scratch);
@@ -3269,7 +4231,7 @@ void test_ecmult_multi_batching(void) {
size_t scratch_size = secp256k1_strauss_scratch_size(i);
scratch = secp256k1_scratch_create(&ctx->error_callback, scratch_size + STRAUSS_SCRATCH_OBJECTS*ALIGNMENT);
}
- CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
+ CHECK(secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &r, &scG, ecmult_multi_callback, &data, n_points));
secp256k1_gej_add_var(&r, &r, &r2, NULL);
CHECK(secp256k1_gej_is_infinity(&r));
secp256k1_scratch_destroy(&ctx->error_callback, scratch);
@@ -3537,37 +4499,89 @@ void run_wnaf(void) {
CHECK(secp256k1_scalar_is_zero(&n));
}
+static int test_ecmult_accumulate_cb(secp256k1_scalar* sc, secp256k1_ge* pt, size_t idx, void* data) {
+ const secp256k1_scalar* indata = (const secp256k1_scalar*)data;
+ *sc = *indata;
+ *pt = secp256k1_ge_const_g;
+ CHECK(idx == 0);
+ return 1;
+}
+
+void test_ecmult_accumulate(secp256k1_sha256* acc, const secp256k1_scalar* x, secp256k1_scratch* scratch) {
+ /* Compute x*G in 6 different ways, serialize it uncompressed, and feed it into acc. */
+ secp256k1_gej rj1, rj2, rj3, rj4, rj5, rj6, gj, infj;
+ secp256k1_ge r;
+ const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
+ unsigned char bytes[65];
+ size_t size = 65;
+ secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g);
+ secp256k1_gej_set_infinity(&infj);
+ secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &rj1, x);
+ secp256k1_ecmult(&rj2, &gj, x, &zero);
+ secp256k1_ecmult(&rj3, &infj, &zero, x);
+ secp256k1_ecmult_multi_var(NULL, scratch, &rj4, x, NULL, NULL, 0);
+ secp256k1_ecmult_multi_var(NULL, scratch, &rj5, &zero, test_ecmult_accumulate_cb, (void*)x, 1);
+ secp256k1_ecmult_const(&rj6, &secp256k1_ge_const_g, x, 256);
+ secp256k1_ge_set_gej_var(&r, &rj1);
+ ge_equals_gej(&r, &rj2);
+ ge_equals_gej(&r, &rj3);
+ ge_equals_gej(&r, &rj4);
+ ge_equals_gej(&r, &rj5);
+ ge_equals_gej(&r, &rj6);
+ if (secp256k1_ge_is_infinity(&r)) {
+ /* Store infinity as 0x00 */
+ const unsigned char zerobyte[1] = {0};
+ secp256k1_sha256_write(acc, zerobyte, 1);
+ } else {
+ /* Store other points using their uncompressed serialization. */
+ secp256k1_eckey_pubkey_serialize(&r, bytes, &size, 0);
+ CHECK(size == 65);
+ secp256k1_sha256_write(acc, bytes, size);
+ }
+}
+
void test_ecmult_constants(void) {
- /* Test ecmult_gen() for [0..36) and [order-36..0). */
+ /* Test ecmult_gen for:
+ * - For i in 0..36:
+ * - Key i
+ * - Key -i
+ * - For i in 0..255:
+ * - For j in 1..255 (only odd values):
+ * - Key (j*2^i) mod order
+ */
secp256k1_scalar x;
- secp256k1_gej r;
- secp256k1_ge ng;
- int i;
- int j;
- secp256k1_ge_neg(&ng, &secp256k1_ge_const_g);
- for (i = 0; i < 36; i++ ) {
- secp256k1_scalar_set_int(&x, i);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x);
- for (j = 0; j < i; j++) {
- if (j == i - 1) {
- ge_equals_gej(&secp256k1_ge_const_g, &r);
- }
- secp256k1_gej_add_ge(&r, &r, &ng);
- }
- CHECK(secp256k1_gej_is_infinity(&r));
- }
- for (i = 1; i <= 36; i++ ) {
+ secp256k1_sha256 acc;
+ unsigned char b32[32];
+ int i, j;
+ secp256k1_scratch_space *scratch = secp256k1_scratch_space_create(ctx, 65536);
+
+ /* Expected hash of all the computed points; created with an independent
+ * implementation. */
+ static const unsigned char expected32[32] = {
+ 0xe4, 0x71, 0x1b, 0x4d, 0x14, 0x1e, 0x68, 0x48,
+ 0xb7, 0xaf, 0x47, 0x2b, 0x4c, 0xd2, 0x04, 0x14,
+ 0x3a, 0x75, 0x87, 0x60, 0x1a, 0xf9, 0x63, 0x60,
+ 0xd0, 0xcb, 0x1f, 0xaa, 0x85, 0x9a, 0xb7, 0xb4
+ };
+ secp256k1_sha256_initialize(&acc);
+ for (i = 0; i <= 36; ++i) {
secp256k1_scalar_set_int(&x, i);
+ test_ecmult_accumulate(&acc, &x, scratch);
secp256k1_scalar_negate(&x, &x);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &r, &x);
- for (j = 0; j < i; j++) {
- if (j == i - 1) {
- ge_equals_gej(&ng, &r);
- }
- secp256k1_gej_add_ge(&r, &r, &secp256k1_ge_const_g);
+ test_ecmult_accumulate(&acc, &x, scratch);
+ };
+ for (i = 0; i < 256; ++i) {
+ for (j = 1; j < 256; j += 2) {
+ int k;
+ secp256k1_scalar_set_int(&x, j);
+ for (k = 0; k < i; ++k) secp256k1_scalar_add(&x, &x, &x);
+ test_ecmult_accumulate(&acc, &x, scratch);
}
- CHECK(secp256k1_gej_is_infinity(&r));
}
+ secp256k1_sha256_finalize(&acc, b32);
+ CHECK(secp256k1_memcmp_var(b32, expected32, 32) == 0);
+
+ secp256k1_scratch_space_destroy(ctx, scratch);
}
void run_ecmult_constants(void) {
@@ -4373,21 +5387,25 @@ void test_ecdsa_sign_verify(void) {
secp256k1_scalar one;
secp256k1_scalar msg, key;
secp256k1_scalar sigr, sigs;
- int recid;
int getrec;
+ int recid;
random_scalar_order_test(&msg);
random_scalar_order_test(&key);
secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubj, &key);
secp256k1_ge_set_gej(&pub, &pubj);
getrec = secp256k1_testrand_bits(1);
- random_sign(&sigr, &sigs, &key, &msg, getrec?&recid:NULL);
+ /* The specific way in which this conditional is written sidesteps a potential bug in clang.
+ See the commit messages of the commit that introduced this comment for details. */
if (getrec) {
+ random_sign(&sigr, &sigs, &key, &msg, &recid);
CHECK(recid >= 0 && recid < 4);
+ } else {
+ random_sign(&sigr, &sigs, &key, &msg, NULL);
}
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg));
+ CHECK(secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
secp256k1_scalar_set_int(&one, 1);
secp256k1_scalar_add(&msg, &msg, &one);
- CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &pub, &msg));
+ CHECK(!secp256k1_ecdsa_sig_verify(&sigr, &sigs, &pub, &msg));
}
void run_ecdsa_sign_verify(void) {
@@ -4654,6 +5672,55 @@ void test_random_pubkeys(void) {
}
}
+void run_pubkey_comparison(void) {
+ unsigned char pk1_ser[33] = {
+ 0x02,
+ 0x58, 0x84, 0xb3, 0xa2, 0x4b, 0x97, 0x37, 0x88, 0x92, 0x38, 0xa6, 0x26, 0x62, 0x52, 0x35, 0x11,
+ 0xd0, 0x9a, 0xa1, 0x1b, 0x80, 0x0b, 0x5e, 0x93, 0x80, 0x26, 0x11, 0xef, 0x67, 0x4b, 0xd9, 0x23
+ };
+ const unsigned char pk2_ser[33] = {
+ 0x02,
+ 0xde, 0x36, 0x0e, 0x87, 0x59, 0x8f, 0x3c, 0x01, 0x36, 0x2a, 0x2a, 0xb8, 0xc6, 0xf4, 0x5e, 0x4d,
+ 0xb2, 0xc2, 0xd5, 0x03, 0xa7, 0xf9, 0xf1, 0x4f, 0xa8, 0xfa, 0x95, 0xa8, 0xe9, 0x69, 0x76, 0x1c
+ };
+ secp256k1_pubkey pk1;
+ secp256k1_pubkey pk2;
+ int32_t ecount = 0;
+
+ CHECK(secp256k1_ec_pubkey_parse(ctx, &pk1, pk1_ser, sizeof(pk1_ser)) == 1);
+ CHECK(secp256k1_ec_pubkey_parse(ctx, &pk2, pk2_ser, sizeof(pk2_ser)) == 1);
+
+ secp256k1_context_set_illegal_callback(ctx, counting_illegal_callback_fn, &ecount);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, NULL, &pk2) < 0);
+ CHECK(ecount == 1);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk1, NULL) > 0);
+ CHECK(ecount == 2);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk1, &pk2) < 0);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk2, &pk1) > 0);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk1, &pk1) == 0);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk2, &pk2) == 0);
+ CHECK(ecount == 2);
+ {
+ secp256k1_pubkey pk_tmp;
+ memset(&pk_tmp, 0, sizeof(pk_tmp)); /* illegal pubkey */
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk_tmp, &pk2) < 0);
+ CHECK(ecount == 3);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk_tmp, &pk_tmp) == 0);
+ CHECK(ecount == 5);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk2, &pk_tmp) > 0);
+ CHECK(ecount == 6);
+ }
+
+ secp256k1_context_set_illegal_callback(ctx, NULL, NULL);
+
+ /* Make pk2 the same as pk1 but with 3 rather than 2. Note that in
+ * an uncompressed encoding, these would have the opposite ordering */
+ pk1_ser[0] = 3;
+ CHECK(secp256k1_ec_pubkey_parse(ctx, &pk2, pk1_ser, sizeof(pk1_ser)) == 1);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk1, &pk2) < 0);
+ CHECK(secp256k1_ec_pubkey_cmp(ctx, &pk2, &pk1) > 0);
+}
+
void run_random_pubkeys(void) {
int i;
for (i = 0; i < 10*count; i++) {
@@ -4670,14 +5737,6 @@ void run_ecdsa_end_to_end(void) {
int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_der, int certainly_not_der) {
static const unsigned char zeroes[32] = {0};
-#ifdef ENABLE_OPENSSL_TESTS
- static const unsigned char max_scalar[32] = {
- 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
- 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe,
- 0xba, 0xae, 0xdc, 0xe6, 0xaf, 0x48, 0xa0, 0x3b,
- 0xbf, 0xd2, 0x5e, 0x8c, 0xd0, 0x36, 0x41, 0x40
- };
-#endif
int ret = 0;
@@ -4693,15 +5752,6 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_
size_t len_der_lax = 2048;
int parsed_der_lax = 0, valid_der_lax = 0, roundtrips_der_lax = 0;
-#ifdef ENABLE_OPENSSL_TESTS
- ECDSA_SIG *sig_openssl;
- const BIGNUM *r = NULL, *s = NULL;
- const unsigned char *sigptr;
- unsigned char roundtrip_openssl[2048];
- int len_openssl = 2048;
- int parsed_openssl, valid_openssl = 0, roundtrips_openssl = 0;
-#endif
-
parsed_der = secp256k1_ecdsa_signature_parse_der(ctx, &sig_der, sig, siglen);
if (parsed_der) {
ret |= (!secp256k1_ecdsa_signature_serialize_compact(ctx, compact_der, &sig_der)) << 0;
@@ -4742,43 +5792,6 @@ int test_ecdsa_der_parse(const unsigned char *sig, size_t siglen, int certainly_
ret |= (!parsed_der_lax) << 16;
}
-#ifdef ENABLE_OPENSSL_TESTS
- sig_openssl = ECDSA_SIG_new();
- sigptr = sig;
- parsed_openssl = (d2i_ECDSA_SIG(&sig_openssl, &sigptr, siglen) != NULL);
- if (parsed_openssl) {
- ECDSA_SIG_get0(sig_openssl, &r, &s);
- valid_openssl = !BN_is_negative(r) && !BN_is_negative(s) && BN_num_bits(r) > 0 && BN_num_bits(r) <= 256 && BN_num_bits(s) > 0 && BN_num_bits(s) <= 256;
- if (valid_openssl) {
- unsigned char tmp[32] = {0};
- BN_bn2bin(r, tmp + 32 - BN_num_bytes(r));
- valid_openssl = secp256k1_memcmp_var(tmp, max_scalar, 32) < 0;
- }
- if (valid_openssl) {
- unsigned char tmp[32] = {0};
- BN_bn2bin(s, tmp + 32 - BN_num_bytes(s));
- valid_openssl = secp256k1_memcmp_var(tmp, max_scalar, 32) < 0;
- }
- }
- len_openssl = i2d_ECDSA_SIG(sig_openssl, NULL);
- if (len_openssl <= 2048) {
- unsigned char *ptr = roundtrip_openssl;
- CHECK(i2d_ECDSA_SIG(sig_openssl, &ptr) == len_openssl);
- roundtrips_openssl = valid_openssl && ((size_t)len_openssl == siglen) && (secp256k1_memcmp_var(roundtrip_openssl, sig, siglen) == 0);
- } else {
- len_openssl = 0;
- }
- ECDSA_SIG_free(sig_openssl);
-
- ret |= (parsed_der && !parsed_openssl) << 4;
- ret |= (valid_der && !valid_openssl) << 5;
- ret |= (roundtrips_openssl && !parsed_der) << 6;
- ret |= (roundtrips_der != roundtrips_openssl) << 7;
- if (roundtrips_openssl) {
- ret |= (len_der != (size_t)len_openssl) << 8;
- ret |= ((len_der != (size_t)len_openssl) || (secp256k1_memcmp_var(roundtrip_der, roundtrip_openssl, len_der) != 0)) << 9;
- }
-#endif
return ret;
}
@@ -5016,7 +6029,7 @@ void test_ecdsa_edge_cases(void) {
secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &keyj, &sr);
secp256k1_ge_set_gej(&key, &keyj);
msg = ss;
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
}
/* Verify signature with r of zero fails. */
@@ -5035,7 +6048,7 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_int(&msg, 0);
secp256k1_scalar_set_int(&sr, 0);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey_mods_zero, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify( &sr, &ss, &key, &msg) == 0);
}
/* Verify signature with s of zero fails. */
@@ -5054,7 +6067,7 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_int(&msg, 0);
secp256k1_scalar_set_int(&sr, 1);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
}
/* Verify signature with message 0 passes. */
@@ -5082,14 +6095,14 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_int(&sr, 2);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_negate(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_set_int(&ss, 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0);
}
/* Verify signature with message 1 passes. */
@@ -5123,15 +6136,15 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_set_b32(&sr, csr, NULL);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
CHECK(secp256k1_eckey_pubkey_parse(&key2, pubkey2, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_negate(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 1);
secp256k1_scalar_set_int(&ss, 2);
secp256k1_scalar_inverse_var(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key2, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key2, &msg) == 0);
}
/* Verify signature with message -1 passes. */
@@ -5157,12 +6170,12 @@ void test_ecdsa_edge_cases(void) {
secp256k1_scalar_negate(&msg, &msg);
secp256k1_scalar_set_b32(&sr, csr, NULL);
CHECK(secp256k1_eckey_pubkey_parse(&key, pubkey, 33));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
secp256k1_scalar_negate(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 1);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 1);
secp256k1_scalar_set_int(&ss, 3);
secp256k1_scalar_inverse_var(&ss, &ss);
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sr, &ss, &key, &msg) == 0);
+ CHECK(secp256k1_ecdsa_sig_verify(&sr, &ss, &key, &msg) == 0);
}
/* Signature where s would be zero. */
@@ -5372,62 +6385,6 @@ void run_ecdsa_edge_cases(void) {
test_ecdsa_edge_cases();
}
-#ifdef ENABLE_OPENSSL_TESTS
-EC_KEY *get_openssl_key(const unsigned char *key32) {
- unsigned char privkey[300];
- size_t privkeylen;
- const unsigned char* pbegin = privkey;
- int compr = secp256k1_testrand_bits(1);
- EC_KEY *ec_key = EC_KEY_new_by_curve_name(NID_secp256k1);
- CHECK(ec_privkey_export_der(ctx, privkey, &privkeylen, key32, compr));
- CHECK(d2i_ECPrivateKey(&ec_key, &pbegin, privkeylen));
- CHECK(EC_KEY_check_key(ec_key));
- return ec_key;
-}
-
-void test_ecdsa_openssl(void) {
- secp256k1_gej qj;
- secp256k1_ge q;
- secp256k1_scalar sigr, sigs;
- secp256k1_scalar one;
- secp256k1_scalar msg2;
- secp256k1_scalar key, msg;
- EC_KEY *ec_key;
- unsigned int sigsize = 80;
- size_t secp_sigsize = 80;
- unsigned char message[32];
- unsigned char signature[80];
- unsigned char key32[32];
- secp256k1_testrand256_test(message);
- secp256k1_scalar_set_b32(&msg, message, NULL);
- random_scalar_order_test(&key);
- secp256k1_scalar_get_b32(key32, &key);
- secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &qj, &key);
- secp256k1_ge_set_gej(&q, &qj);
- ec_key = get_openssl_key(key32);
- CHECK(ec_key != NULL);
- CHECK(ECDSA_sign(0, message, sizeof(message), signature, &sigsize, ec_key));
- CHECK(secp256k1_ecdsa_sig_parse(&sigr, &sigs, signature, sigsize));
- CHECK(secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg));
- secp256k1_scalar_set_int(&one, 1);
- secp256k1_scalar_add(&msg2, &msg, &one);
- CHECK(!secp256k1_ecdsa_sig_verify(&ctx->ecmult_ctx, &sigr, &sigs, &q, &msg2));
-
- random_sign(&sigr, &sigs, &key, &msg, NULL);
- CHECK(secp256k1_ecdsa_sig_serialize(signature, &secp_sigsize, &sigr, &sigs));
- CHECK(ECDSA_verify(0, message, sizeof(message), signature, secp_sigsize, ec_key) == 1);
-
- EC_KEY_free(ec_key);
-}
-
-void run_ecdsa_openssl(void) {
- int i;
- for (i = 0; i < 10*count; i++) {
- test_ecdsa_openssl();
- }
-}
-#endif
-
#ifdef ENABLE_MODULE_ECDH
# include "modules/ecdh/tests_impl.h"
#endif
@@ -5444,18 +6401,18 @@ void run_ecdsa_openssl(void) {
# include "modules/schnorrsig/tests_impl.h"
#endif
-void run_memczero_test(void) {
+void run_secp256k1_memczero_test(void) {
unsigned char buf1[6] = {1, 2, 3, 4, 5, 6};
unsigned char buf2[sizeof(buf1)];
- /* memczero(..., ..., 0) is a noop. */
+ /* secp256k1_memczero(..., ..., 0) is a noop. */
memcpy(buf2, buf1, sizeof(buf1));
- memczero(buf1, sizeof(buf1), 0);
+ secp256k1_memczero(buf1, sizeof(buf1), 0);
CHECK(secp256k1_memcmp_var(buf1, buf2, sizeof(buf1)) == 0);
- /* memczero(..., ..., 1) zeros the buffer. */
+ /* secp256k1_memczero(..., ..., 1) zeros the buffer. */
memset(buf2, 0, sizeof(buf2));
- memczero(buf1, sizeof(buf1) , 1);
+ secp256k1_memczero(buf1, sizeof(buf1) , 1);
CHECK(secp256k1_memcmp_var(buf1, buf2, sizeof(buf1)) == 0);
}
@@ -5626,6 +6583,15 @@ int main(int argc, char **argv) {
/* find iteration count */
if (argc > 1) {
count = strtol(argv[1], NULL, 0);
+ } else {
+ const char* env = getenv("SECP256K1_TEST_ITERS");
+ if (env && strlen(env) > 0) {
+ count = strtol(env, NULL, 0);
+ }
+ }
+ if (count <= 0) {
+ fputs("An iteration count of 0 or less is not allowed.\n", stderr);
+ return EXIT_FAILURE;
}
printf("test count = %i\n", count);
@@ -5646,24 +6612,22 @@ int main(int argc, char **argv) {
run_rand_bits();
run_rand_int();
+ run_ctz_tests();
+ run_modinv_tests();
+ run_inverse_tests();
+
run_sha256_tests();
run_hmac_sha256_tests();
run_rfc6979_hmac_sha256_tests();
-
-#ifndef USE_NUM_NONE
- /* num tests */
- run_num_smalltests();
-#endif
+ run_tagged_sha256_tests();
/* scalar tests */
run_scalar_tests();
/* field tests */
- run_field_inv();
- run_field_inv_var();
- run_field_inv_all_var();
run_field_misc();
run_field_convert();
+ run_fe_mul();
run_sqr();
run_sqrt();
@@ -5672,6 +6636,7 @@ int main(int argc, char **argv) {
run_group_decompress();
/* ecmult tests */
+ run_ecmult_pre_g();
run_wnaf();
run_point_times_order();
run_ecmult_near_split_bound();
@@ -5700,14 +6665,12 @@ int main(int argc, char **argv) {
#endif
/* ecdsa tests */
+ run_pubkey_comparison();
run_random_pubkeys();
run_ecdsa_der_parse();
run_ecdsa_sign_verify();
run_ecdsa_end_to_end();
run_ecdsa_edge_cases();
-#ifdef ENABLE_OPENSSL_TESTS
- run_ecdsa_openssl();
-#endif
#ifdef ENABLE_MODULE_RECOVERY
/* ECDSA pubkey recovery tests */
@@ -5723,7 +6686,7 @@ int main(int argc, char **argv) {
#endif
/* util tests */
- run_memczero_test();
+ run_secp256k1_memczero_test();
run_cmov_tests();
diff --git a/src/secp256k1/src/tests_exhaustive.c b/src/secp256k1/src/tests_exhaustive.c
index f4d5b8e176..6bae7a4778 100644
--- a/src/secp256k1/src/tests_exhaustive.c
+++ b/src/secp256k1/src/tests_exhaustive.c
@@ -1,8 +1,8 @@
/***********************************************************************
- * Copyright (c) 2016 Andrew Poelstra *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+ * Copyright (c) 2016 Andrew Poelstra *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#if defined HAVE_CONFIG_H
#include "libsecp256k1-config.h"
@@ -10,21 +10,19 @@
#include <stdio.h>
#include <stdlib.h>
-
#include <time.h>
-#undef USE_ECMULT_STATIC_PRECOMPUTATION
-
#ifndef EXHAUSTIVE_TEST_ORDER
/* see group_impl.h for allowable values */
#define EXHAUSTIVE_TEST_ORDER 13
#endif
-#include "include/secp256k1.h"
+#include "secp256k1.c"
+#include "../include/secp256k1.h"
#include "assumptions.h"
#include "group.h"
-#include "secp256k1.c"
#include "testrand_impl.h"
+#include "ecmult_gen_prec_impl.h"
static int count = 2;
@@ -164,7 +162,7 @@ void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *gr
}
}
-void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *group, const secp256k1_gej *groupj) {
+void test_exhaustive_ecmult(const secp256k1_ge *group, const secp256k1_gej *groupj) {
int i, j, r_log;
uint64_t iter = 0;
for (r_log = 1; r_log < EXHAUSTIVE_TEST_ORDER; r_log++) {
@@ -176,7 +174,7 @@ void test_exhaustive_ecmult(const secp256k1_context *ctx, const secp256k1_ge *gr
secp256k1_scalar_set_int(&na, i);
secp256k1_scalar_set_int(&ng, j);
- secp256k1_ecmult(&ctx->ecmult_ctx, &tmp, &groupj[r_log], &na, &ng);
+ secp256k1_ecmult(&tmp, &groupj[r_log], &na, &ng);
ge_equals_gej(&group[(i * r_log + j) % EXHAUSTIVE_TEST_ORDER], &tmp);
if (i > 0) {
@@ -220,7 +218,7 @@ void test_exhaustive_ecmult_multi(const secp256k1_context *ctx, const secp256k1_
data.pt[0] = group[x];
data.pt[1] = group[y];
- secp256k1_ecmult_multi_var(&ctx->error_callback, &ctx->ecmult_ctx, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2);
+ secp256k1_ecmult_multi_var(&ctx->error_callback, scratch, &tmp, &g_sc, ecmult_multi_callback, &data, 2);
ge_equals_gej(&group[(i * x + j * y + k) % EXHAUSTIVE_TEST_ORDER], &tmp);
}
}
@@ -303,6 +301,7 @@ void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *grou
if (skip_section(&iter)) continue;
for (k = 1; k < EXHAUSTIVE_TEST_ORDER; k++) { /* nonce */
const int starting_k = k;
+ int ret;
secp256k1_ecdsa_signature sig;
secp256k1_scalar sk, msg, r, s, expected_r;
unsigned char sk32[32], msg32[32];
@@ -311,7 +310,8 @@ void test_exhaustive_sign(const secp256k1_context *ctx, const secp256k1_ge *grou
secp256k1_scalar_get_b32(sk32, &sk);
secp256k1_scalar_get_b32(msg32, &msg);
- secp256k1_ecdsa_sign(ctx, &sig, msg32, sk32, secp256k1_nonce_function_smallint, &k);
+ ret = secp256k1_ecdsa_sign(ctx, &sig, msg32, sk32, secp256k1_nonce_function_smallint, &k);
+ CHECK(ret == 1);
secp256k1_ecdsa_signature_load(ctx, &r, &s, &sig);
/* Note that we compute expected_r *after* signing -- this is important
@@ -389,6 +389,9 @@ int main(int argc, char** argv) {
printf("running tests for core %lu (out of [0..%lu])\n", (unsigned long)this_core, (unsigned long)num_cores - 1);
}
+ /* Recreate the ecmult_gen table using the right generator (as selected via EXHAUSTIVE_TEST_ORDER) */
+ secp256k1_ecmult_gen_create_prec_table(&secp256k1_ecmult_gen_prec_table[0][0], &secp256k1_ge_const_g, ECMULT_GEN_PREC_BITS);
+
while (count--) {
/* Build context */
ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
@@ -429,7 +432,7 @@ int main(int argc, char** argv) {
/* Run the tests */
test_exhaustive_endomorphism(group);
test_exhaustive_addition(group, groupj);
- test_exhaustive_ecmult(ctx, group, groupj);
+ test_exhaustive_ecmult(group, groupj);
test_exhaustive_ecmult_multi(ctx, group);
test_exhaustive_sign(ctx, group);
test_exhaustive_verify(ctx, group);
diff --git a/src/secp256k1/src/util.h b/src/secp256k1/src/util.h
index 3a88a41bc6..04227a7c9b 100644
--- a/src/secp256k1/src/util.h
+++ b/src/secp256k1/src/util.h
@@ -1,8 +1,8 @@
-/**********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#ifndef SECP256K1_UTIL_H
#define SECP256K1_UTIL_H
@@ -25,6 +25,33 @@ static SECP256K1_INLINE void secp256k1_callback_call(const secp256k1_callback *
cb->fn(text, (void*)cb->data);
}
+#ifndef USE_EXTERNAL_DEFAULT_CALLBACKS
+static void secp256k1_default_illegal_callback_fn(const char* str, void* data) {
+ (void)data;
+ fprintf(stderr, "[libsecp256k1] illegal argument: %s\n", str);
+ abort();
+}
+static void secp256k1_default_error_callback_fn(const char* str, void* data) {
+ (void)data;
+ fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str);
+ abort();
+}
+#else
+void secp256k1_default_illegal_callback_fn(const char* str, void* data);
+void secp256k1_default_error_callback_fn(const char* str, void* data);
+#endif
+
+static const secp256k1_callback default_illegal_callback = {
+ secp256k1_default_illegal_callback_fn,
+ NULL
+};
+
+static const secp256k1_callback default_error_callback = {
+ secp256k1_default_error_callback_fn,
+ NULL
+};
+
+
#ifdef DETERMINISTIC
#define TEST_FAILURE(msg) do { \
fprintf(stderr, "%s\n", msg); \
@@ -113,37 +140,7 @@ static SECP256K1_INLINE void *checked_realloc(const secp256k1_callback* cb, void
#define ALIGNMENT 16
#endif
-#define ROUND_TO_ALIGN(size) (((size + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT)
-
-/* Assume there is a contiguous memory object with bounds [base, base + max_size)
- * of which the memory range [base, *prealloc_ptr) is already allocated for usage,
- * where *prealloc_ptr is an aligned pointer. In that setting, this functions
- * reserves the subobject [*prealloc_ptr, *prealloc_ptr + alloc_size) of
- * alloc_size bytes by increasing *prealloc_ptr accordingly, taking into account
- * alignment requirements.
- *
- * The function returns an aligned pointer to the newly allocated subobject.
- *
- * This is useful for manual memory management: if we're simply given a block
- * [base, base + max_size), the caller can use this function to allocate memory
- * in this block and keep track of the current allocation state with *prealloc_ptr.
- *
- * It is VERIFY_CHECKed that there is enough space left in the memory object and
- * *prealloc_ptr is aligned relative to base.
- */
-static SECP256K1_INLINE void *manual_alloc(void** prealloc_ptr, size_t alloc_size, void* base, size_t max_size) {
- size_t aligned_alloc_size = ROUND_TO_ALIGN(alloc_size);
- void* ret;
- VERIFY_CHECK(prealloc_ptr != NULL);
- VERIFY_CHECK(*prealloc_ptr != NULL);
- VERIFY_CHECK(base != NULL);
- VERIFY_CHECK((unsigned char*)*prealloc_ptr >= (unsigned char*)base);
- VERIFY_CHECK(((unsigned char*)*prealloc_ptr - (unsigned char*)base) % ALIGNMENT == 0);
- VERIFY_CHECK((unsigned char*)*prealloc_ptr - (unsigned char*)base + aligned_alloc_size <= max_size);
- ret = *prealloc_ptr;
- *((unsigned char**)prealloc_ptr) += aligned_alloc_size;
- return ret;
-}
+#define ROUND_TO_ALIGN(size) ((((size) + ALIGNMENT - 1) / ALIGNMENT) * ALIGNMENT)
/* Macro for restrict, when available and not in a VERIFY build. */
#if defined(SECP256K1_BUILD) && defined(VERIFY)
@@ -202,7 +199,7 @@ static SECP256K1_INLINE void *manual_alloc(void** prealloc_ptr, size_t alloc_siz
#endif
/* Zero memory if flag == 1. Flag must be 0 or 1. Constant time. */
-static SECP256K1_INLINE void memczero(void *s, size_t len, int flag) {
+static SECP256K1_INLINE void secp256k1_memczero(void *s, size_t len, int flag) {
unsigned char *p = (unsigned char *)s;
/* Access flag with a volatile-qualified lvalue.
This prevents clang from figuring out (after inlining) that flag can
@@ -260,14 +257,85 @@ static SECP256K1_INLINE void secp256k1_int_cmov(int *r, const int *a, int flag)
# define SECP256K1_WIDEMUL_INT128 1
#elif defined(USE_FORCE_WIDEMUL_INT64)
# define SECP256K1_WIDEMUL_INT64 1
-#elif defined(__SIZEOF_INT128__)
+#elif defined(UINT128_MAX) || defined(__SIZEOF_INT128__)
# define SECP256K1_WIDEMUL_INT128 1
#else
# define SECP256K1_WIDEMUL_INT64 1
#endif
#if defined(SECP256K1_WIDEMUL_INT128)
+# if !defined(UINT128_MAX) && defined(__SIZEOF_INT128__)
SECP256K1_GNUC_EXT typedef unsigned __int128 uint128_t;
SECP256K1_GNUC_EXT typedef __int128 int128_t;
+#define UINT128_MAX ((uint128_t)(-1))
+#define INT128_MAX ((int128_t)(UINT128_MAX >> 1))
+#define INT128_MIN (-INT128_MAX - 1)
+/* No (U)INT128_C macros because compilers providing __int128 do not support 128-bit literals. */
+# endif
+#endif
+
+#ifndef __has_builtin
+#define __has_builtin(x) 0
#endif
+/* Determine the number of trailing zero bits in a (non-zero) 32-bit x.
+ * This function is only intended to be used as fallback for
+ * secp256k1_ctz32_var, but permits it to be tested separately. */
+static SECP256K1_INLINE int secp256k1_ctz32_var_debruijn(uint32_t x) {
+ static const uint8_t debruijn[32] = {
+ 0x00, 0x01, 0x02, 0x18, 0x03, 0x13, 0x06, 0x19, 0x16, 0x04, 0x14, 0x0A,
+ 0x10, 0x07, 0x0C, 0x1A, 0x1F, 0x17, 0x12, 0x05, 0x15, 0x09, 0x0F, 0x0B,
+ 0x1E, 0x11, 0x08, 0x0E, 0x1D, 0x0D, 0x1C, 0x1B
+ };
+ return debruijn[((x & -x) * 0x04D7651F) >> 27];
+}
+
+/* Determine the number of trailing zero bits in a (non-zero) 64-bit x.
+ * This function is only intended to be used as fallback for
+ * secp256k1_ctz64_var, but permits it to be tested separately. */
+static SECP256K1_INLINE int secp256k1_ctz64_var_debruijn(uint64_t x) {
+ static const uint8_t debruijn[64] = {
+ 0, 1, 2, 53, 3, 7, 54, 27, 4, 38, 41, 8, 34, 55, 48, 28,
+ 62, 5, 39, 46, 44, 42, 22, 9, 24, 35, 59, 56, 49, 18, 29, 11,
+ 63, 52, 6, 26, 37, 40, 33, 47, 61, 45, 43, 21, 23, 58, 17, 10,
+ 51, 25, 36, 32, 60, 20, 57, 16, 50, 31, 19, 15, 30, 14, 13, 12
+ };
+ return debruijn[((x & -x) * 0x022FDD63CC95386D) >> 58];
+}
+
+/* Determine the number of trailing zero bits in a (non-zero) 32-bit x. */
+static SECP256K1_INLINE int secp256k1_ctz32_var(uint32_t x) {
+ VERIFY_CHECK(x != 0);
+#if (__has_builtin(__builtin_ctz) || SECP256K1_GNUC_PREREQ(3,4))
+ /* If the unsigned type is sufficient to represent the largest uint32_t, consider __builtin_ctz. */
+ if (((unsigned)UINT32_MAX) == UINT32_MAX) {
+ return __builtin_ctz(x);
+ }
+#endif
+#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4))
+ /* Otherwise consider __builtin_ctzl (the unsigned long type is always at least 32 bits). */
+ return __builtin_ctzl(x);
+#else
+ /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */
+ return secp256k1_ctz32_var_debruijn(x);
+#endif
+}
+
+/* Determine the number of trailing zero bits in a (non-zero) 64-bit x. */
+static SECP256K1_INLINE int secp256k1_ctz64_var(uint64_t x) {
+ VERIFY_CHECK(x != 0);
+#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4))
+ /* If the unsigned long type is sufficient to represent the largest uint64_t, consider __builtin_ctzl. */
+ if (((unsigned long)UINT64_MAX) == UINT64_MAX) {
+ return __builtin_ctzl(x);
+ }
+#endif
+#if (__has_builtin(__builtin_ctzll) || SECP256K1_GNUC_PREREQ(3,4))
+ /* Otherwise consider __builtin_ctzll (the unsigned long long type is always at least 64 bits). */
+ return __builtin_ctzll(x);
+#else
+ /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */
+ return secp256k1_ctz64_var_debruijn(x);
+#endif
+}
+
#endif /* SECP256K1_UTIL_H */
diff --git a/src/secp256k1/src/valgrind_ctime_test.c b/src/secp256k1/src/valgrind_ctime_test.c
index 3169e3651c..ea6d4b3deb 100644
--- a/src/secp256k1/src/valgrind_ctime_test.c
+++ b/src/secp256k1/src/valgrind_ctime_test.c
@@ -1,32 +1,68 @@
-/**********************************************************************
- * Copyright (c) 2020 Gregory Maxwell *
- * Distributed under the MIT software license, see the accompanying *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
+/***********************************************************************
+ * Copyright (c) 2020 Gregory Maxwell *
+ * Distributed under the MIT software license, see the accompanying *
+ * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
+ ***********************************************************************/
#include <valgrind/memcheck.h>
-#include "include/secp256k1.h"
+#include <stdio.h>
+
+#include "../include/secp256k1.h"
#include "assumptions.h"
#include "util.h"
#ifdef ENABLE_MODULE_ECDH
-# include "include/secp256k1_ecdh.h"
+# include "../include/secp256k1_ecdh.h"
#endif
#ifdef ENABLE_MODULE_RECOVERY
-# include "include/secp256k1_recovery.h"
+# include "../include/secp256k1_recovery.h"
#endif
#ifdef ENABLE_MODULE_EXTRAKEYS
-# include "include/secp256k1_extrakeys.h"
+# include "../include/secp256k1_extrakeys.h"
#endif
#ifdef ENABLE_MODULE_SCHNORRSIG
-#include "include/secp256k1_schnorrsig.h"
+#include "../include/secp256k1_schnorrsig.h"
#endif
+void run_tests(secp256k1_context *ctx, unsigned char *key);
+
int main(void) {
secp256k1_context* ctx;
+ unsigned char key[32];
+ int ret, i;
+
+ if (!RUNNING_ON_VALGRIND) {
+ fprintf(stderr, "This test can only usefully be run inside valgrind.\n");
+ fprintf(stderr, "Usage: libtool --mode=execute valgrind ./valgrind_ctime_test\n");
+ return 1;
+ }
+ ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN
+ | SECP256K1_CONTEXT_VERIFY
+ | SECP256K1_CONTEXT_DECLASSIFY);
+ /** In theory, testing with a single secret input should be sufficient:
+ * If control flow depended on secrets the tool would generate an error.
+ */
+ for (i = 0; i < 32; i++) {
+ key[i] = i + 65;
+ }
+
+ run_tests(ctx, key);
+
+ /* Test context randomisation. Do this last because it leaves the context
+ * tainted. */
+ VALGRIND_MAKE_MEM_UNDEFINED(key, 32);
+ ret = secp256k1_context_randomize(ctx, key);
+ VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret));
+ CHECK(ret);
+
+ secp256k1_context_destroy(ctx);
+ return 0;
+}
+
+void run_tests(secp256k1_context *ctx, unsigned char *key) {
secp256k1_ecdsa_signature signature;
secp256k1_pubkey pubkey;
size_t siglen = 74;
@@ -34,7 +70,6 @@ int main(void) {
int i;
int ret;
unsigned char msg[32];
- unsigned char key[32];
unsigned char sig[74];
unsigned char spubkey[33];
#ifdef ENABLE_MODULE_RECOVERY
@@ -45,26 +80,10 @@ int main(void) {
secp256k1_keypair keypair;
#endif
- if (!RUNNING_ON_VALGRIND) {
- fprintf(stderr, "This test can only usefully be run inside valgrind.\n");
- fprintf(stderr, "Usage: libtool --mode=execute valgrind ./valgrind_ctime_test\n");
- exit(1);
- }
-
- /** In theory, testing with a single secret input should be sufficient:
- * If control flow depended on secrets the tool would generate an error.
- */
- for (i = 0; i < 32; i++) {
- key[i] = i + 65;
- }
for (i = 0; i < 32; i++) {
msg[i] = i + 1;
}
- ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN
- | SECP256K1_CONTEXT_VERIFY
- | SECP256K1_CONTEXT_DECLASSIFY);
-
/* Test keygen. */
VALGRIND_MAKE_MEM_UNDEFINED(key, 32);
ret = secp256k1_ec_pubkey_create(ctx, &pubkey, key);
@@ -122,12 +141,6 @@ int main(void) {
VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret));
CHECK(ret == 1);
- /* Test context randomisation. Do this last because it leaves the context tainted. */
- VALGRIND_MAKE_MEM_UNDEFINED(key, 32);
- ret = secp256k1_context_randomize(ctx, key);
- VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret));
- CHECK(ret);
-
/* Test keypair_create and keypair_xonly_tweak_add. */
#ifdef ENABLE_MODULE_EXTRAKEYS
VALGRIND_MAKE_MEM_UNDEFINED(key, 32);
@@ -140,6 +153,12 @@ int main(void) {
ret = secp256k1_keypair_xonly_tweak_add(ctx, &keypair, msg);
VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret));
CHECK(ret == 1);
+
+ VALGRIND_MAKE_MEM_UNDEFINED(key, 32);
+ VALGRIND_MAKE_MEM_UNDEFINED(&keypair, sizeof(keypair));
+ ret = secp256k1_keypair_sec(ctx, key, &keypair);
+ VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret));
+ CHECK(ret == 1);
#endif
#ifdef ENABLE_MODULE_SCHNORRSIG
@@ -147,11 +166,8 @@ int main(void) {
ret = secp256k1_keypair_create(ctx, &keypair, key);
VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret));
CHECK(ret == 1);
- ret = secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, NULL, NULL);
+ ret = secp256k1_schnorrsig_sign(ctx, sig, msg, &keypair, NULL);
VALGRIND_MAKE_MEM_DEFINED(&ret, sizeof(ret));
CHECK(ret == 1);
#endif
-
- secp256k1_context_destroy(ctx);
- return 0;
}
diff --git a/src/serialize.h b/src/serialize.h
index d9ca984f9c..44bb471f25 100644
--- a/src/serialize.h
+++ b/src/serialize.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -47,115 +47,80 @@ static const unsigned int MAX_VECTOR_ALLOCATE = 5000000;
struct deserialize_type {};
constexpr deserialize_type deserialize {};
-//! Safely convert odd char pointer types to standard ones.
-inline char* CharCast(char* c) { return c; }
-inline char* CharCast(unsigned char* c) { return (char*)c; }
-inline const char* CharCast(const char* c) { return c; }
-inline const char* CharCast(const unsigned char* c) { return (const char*)c; }
-
/*
* Lowest-level serialization and conversion.
- * @note Sizes of these types are verified in the tests
*/
template<typename Stream> inline void ser_writedata8(Stream &s, uint8_t obj)
{
- s.write((char*)&obj, 1);
+ s.write(AsBytes(Span{&obj, 1}));
}
template<typename Stream> inline void ser_writedata16(Stream &s, uint16_t obj)
{
obj = htole16(obj);
- s.write((char*)&obj, 2);
+ s.write(AsBytes(Span{&obj, 1}));
}
template<typename Stream> inline void ser_writedata16be(Stream &s, uint16_t obj)
{
obj = htobe16(obj);
- s.write((char*)&obj, 2);
+ s.write(AsBytes(Span{&obj, 1}));
}
template<typename Stream> inline void ser_writedata32(Stream &s, uint32_t obj)
{
obj = htole32(obj);
- s.write((char*)&obj, 4);
+ s.write(AsBytes(Span{&obj, 1}));
}
template<typename Stream> inline void ser_writedata32be(Stream &s, uint32_t obj)
{
obj = htobe32(obj);
- s.write((char*)&obj, 4);
+ s.write(AsBytes(Span{&obj, 1}));
}
template<typename Stream> inline void ser_writedata64(Stream &s, uint64_t obj)
{
obj = htole64(obj);
- s.write((char*)&obj, 8);
+ s.write(AsBytes(Span{&obj, 1}));
}
template<typename Stream> inline uint8_t ser_readdata8(Stream &s)
{
uint8_t obj;
- s.read((char*)&obj, 1);
+ s.read(AsWritableBytes(Span{&obj, 1}));
return obj;
}
template<typename Stream> inline uint16_t ser_readdata16(Stream &s)
{
uint16_t obj;
- s.read((char*)&obj, 2);
+ s.read(AsWritableBytes(Span{&obj, 1}));
return le16toh(obj);
}
template<typename Stream> inline uint16_t ser_readdata16be(Stream &s)
{
uint16_t obj;
- s.read((char*)&obj, 2);
+ s.read(AsWritableBytes(Span{&obj, 1}));
return be16toh(obj);
}
template<typename Stream> inline uint32_t ser_readdata32(Stream &s)
{
uint32_t obj;
- s.read((char*)&obj, 4);
+ s.read(AsWritableBytes(Span{&obj, 1}));
return le32toh(obj);
}
template<typename Stream> inline uint32_t ser_readdata32be(Stream &s)
{
uint32_t obj;
- s.read((char*)&obj, 4);
+ s.read(AsWritableBytes(Span{&obj, 1}));
return be32toh(obj);
}
template<typename Stream> inline uint64_t ser_readdata64(Stream &s)
{
uint64_t obj;
- s.read((char*)&obj, 8);
+ s.read(AsWritableBytes(Span{&obj, 1}));
return le64toh(obj);
}
-inline uint64_t ser_double_to_uint64(double x)
-{
- uint64_t tmp;
- std::memcpy(&tmp, &x, sizeof(x));
- static_assert(sizeof(tmp) == sizeof(x), "double and uint64_t assumed to have the same size");
- return tmp;
-}
-inline uint32_t ser_float_to_uint32(float x)
-{
- uint32_t tmp;
- std::memcpy(&tmp, &x, sizeof(x));
- static_assert(sizeof(tmp) == sizeof(x), "float and uint32_t assumed to have the same size");
- return tmp;
-}
-inline double ser_uint64_to_double(uint64_t y)
-{
- double tmp;
- std::memcpy(&tmp, &y, sizeof(y));
- static_assert(sizeof(tmp) == sizeof(y), "double and uint64_t assumed to have the same size");
- return tmp;
-}
-inline float ser_uint32_to_float(uint32_t y)
-{
- float tmp;
- std::memcpy(&tmp, &y, sizeof(y));
- static_assert(sizeof(tmp) == sizeof(y), "float and uint32_t assumed to have the same size");
- return tmp;
-}
/////////////////////////////////////////////////////////////////
//
// Templates for serializing to anything that looks like a stream,
-// i.e. anything that supports .read(char*, size_t) and .write(char*, size_t)
+// i.e. anything that supports .read(Span<std::byte>) and .write(Span<const std::byte>)
//
class CSizeComputer;
@@ -224,7 +189,7 @@ template<typename X> const X& ReadWriteAsHelper(const X& x) { return x; }
FORMATTER_METHODS(cls, obj)
#ifndef CHAR_EQUALS_INT8
-template<typename Stream> inline void Serialize(Stream& s, char a ) { ser_writedata8(s, a); } // TODO Get rid of bare char
+template <typename Stream> void Serialize(Stream&, char) = delete; // char serialization forbidden. Use uint8_t or int8_t
#endif
template<typename Stream> inline void Serialize(Stream& s, int8_t a ) { ser_writedata8(s, a); }
template<typename Stream> inline void Serialize(Stream& s, uint8_t a ) { ser_writedata8(s, a); }
@@ -234,15 +199,13 @@ template<typename Stream> inline void Serialize(Stream& s, int32_t a ) { ser_wri
template<typename Stream> inline void Serialize(Stream& s, uint32_t a) { ser_writedata32(s, a); }
template<typename Stream> inline void Serialize(Stream& s, int64_t a ) { ser_writedata64(s, a); }
template<typename Stream> inline void Serialize(Stream& s, uint64_t a) { ser_writedata64(s, a); }
-template<typename Stream> inline void Serialize(Stream& s, float a ) { ser_writedata32(s, ser_float_to_uint32(a)); }
-template<typename Stream> inline void Serialize(Stream& s, double a ) { ser_writedata64(s, ser_double_to_uint64(a)); }
-template<typename Stream, int N> inline void Serialize(Stream& s, const char (&a)[N]) { s.write(a, N); }
-template<typename Stream, int N> inline void Serialize(Stream& s, const unsigned char (&a)[N]) { s.write(CharCast(a), N); }
-template<typename Stream> inline void Serialize(Stream& s, const Span<const unsigned char>& span) { s.write(CharCast(span.data()), span.size()); }
-template<typename Stream> inline void Serialize(Stream& s, const Span<unsigned char>& span) { s.write(CharCast(span.data()), span.size()); }
+template<typename Stream, int N> inline void Serialize(Stream& s, const char (&a)[N]) { s.write(MakeByteSpan(a)); }
+template<typename Stream, int N> inline void Serialize(Stream& s, const unsigned char (&a)[N]) { s.write(MakeByteSpan(a)); }
+template<typename Stream> inline void Serialize(Stream& s, const Span<const unsigned char>& span) { s.write(AsBytes(span)); }
+template<typename Stream> inline void Serialize(Stream& s, const Span<unsigned char>& span) { s.write(AsBytes(span)); }
#ifndef CHAR_EQUALS_INT8
-template<typename Stream> inline void Unserialize(Stream& s, char& a ) { a = ser_readdata8(s); } // TODO Get rid of bare char
+template <typename Stream> void Unserialize(Stream&, char) = delete; // char serialization forbidden. Use uint8_t or int8_t
#endif
template<typename Stream> inline void Unserialize(Stream& s, int8_t& a ) { a = ser_readdata8(s); }
template<typename Stream> inline void Unserialize(Stream& s, uint8_t& a ) { a = ser_readdata8(s); }
@@ -252,18 +215,12 @@ template<typename Stream> inline void Unserialize(Stream& s, int32_t& a ) { a =
template<typename Stream> inline void Unserialize(Stream& s, uint32_t& a) { a = ser_readdata32(s); }
template<typename Stream> inline void Unserialize(Stream& s, int64_t& a ) { a = ser_readdata64(s); }
template<typename Stream> inline void Unserialize(Stream& s, uint64_t& a) { a = ser_readdata64(s); }
-template<typename Stream> inline void Unserialize(Stream& s, float& a ) { a = ser_uint32_to_float(ser_readdata32(s)); }
-template<typename Stream> inline void Unserialize(Stream& s, double& a ) { a = ser_uint64_to_double(ser_readdata64(s)); }
-template<typename Stream, int N> inline void Unserialize(Stream& s, char (&a)[N]) { s.read(a, N); }
-template<typename Stream, int N> inline void Unserialize(Stream& s, unsigned char (&a)[N]) { s.read(CharCast(a), N); }
-template<typename Stream> inline void Unserialize(Stream& s, Span<unsigned char>& span) { s.read(CharCast(span.data()), span.size()); }
-
-template<typename Stream> inline void Serialize(Stream& s, bool a) { char f=a; ser_writedata8(s, f); }
-template<typename Stream> inline void Unserialize(Stream& s, bool& a) { char f=ser_readdata8(s); a=f; }
-
-
-
+template<typename Stream, int N> inline void Unserialize(Stream& s, char (&a)[N]) { s.read(MakeWritableByteSpan(a)); }
+template<typename Stream, int N> inline void Unserialize(Stream& s, unsigned char (&a)[N]) { s.read(MakeWritableByteSpan(a)); }
+template<typename Stream> inline void Unserialize(Stream& s, Span<unsigned char>& span) { s.read(AsWritableBytes(span)); }
+template <typename Stream> inline void Serialize(Stream& s, bool a) { uint8_t f = a; ser_writedata8(s, f); }
+template <typename Stream> inline void Unserialize(Stream& s, bool& a) { uint8_t f = ser_readdata8(s); a = f; }
/**
@@ -515,10 +472,10 @@ struct CustomUintFormatter
if (v < 0 || v > MAX) throw std::ios_base::failure("CustomUintFormatter value out of range");
if (BigEndian) {
uint64_t raw = htobe64(v);
- s.write(((const char*)&raw) + 8 - Bytes, Bytes);
+ s.write({BytePtr(&raw) + 8 - Bytes, Bytes});
} else {
uint64_t raw = htole64(v);
- s.write((const char*)&raw, Bytes);
+ s.write({BytePtr(&raw), Bytes});
}
}
@@ -528,10 +485,10 @@ struct CustomUintFormatter
static_assert(std::numeric_limits<U>::max() >= MAX && std::numeric_limits<U>::min() <= 0, "Assigned type too small");
uint64_t raw = 0;
if (BigEndian) {
- s.read(((char*)&raw) + 8 - Bytes, Bytes);
+ s.read({BytePtr(&raw) + 8 - Bytes, Bytes});
v = static_cast<I>(be64toh(raw));
} else {
- s.read((char*)&raw, Bytes);
+ s.read({BytePtr(&raw), Bytes});
v = static_cast<I>(le64toh(raw));
}
}
@@ -563,6 +520,19 @@ struct CompactSizeFormatter
}
};
+class CompactSizeWriter
+{
+protected:
+ uint64_t n;
+public:
+ explicit CompactSizeWriter(uint64_t n_in) : n(n_in) { }
+
+ template<typename Stream>
+ void Serialize(Stream &s) const {
+ WriteCompactSize<Stream>(s, n);
+ }
+};
+
template<size_t Limit>
struct LimitedStringFormatter
{
@@ -574,7 +544,7 @@ struct LimitedStringFormatter
throw std::ios_base::failure("String length limit exceeded");
}
v.resize(size);
- if (size != 0) s.read((char*)v.data(), size);
+ if (size != 0) s.read(MakeWritableByteSpan(v));
}
template<typename Stream>
@@ -738,7 +708,7 @@ void Serialize(Stream& os, const std::basic_string<C>& str)
{
WriteCompactSize(os, str.size());
if (!str.empty())
- os.write((char*)str.data(), str.size() * sizeof(C));
+ os.write(MakeByteSpan(str));
}
template<typename Stream, typename C>
@@ -747,7 +717,7 @@ void Unserialize(Stream& is, std::basic_string<C>& str)
unsigned int nSize = ReadCompactSize(is);
str.resize(nSize);
if (nSize != 0)
- is.read((char*)str.data(), nSize * sizeof(C));
+ is.read(MakeWritableByteSpan(str));
}
@@ -760,7 +730,7 @@ void Serialize_impl(Stream& os, const prevector<N, T>& v, const unsigned char&)
{
WriteCompactSize(os, v.size());
if (!v.empty())
- os.write((char*)v.data(), v.size() * sizeof(T));
+ os.write(MakeByteSpan(v));
}
template<typename Stream, unsigned int N, typename T, typename V>
@@ -787,7 +757,7 @@ void Unserialize_impl(Stream& is, prevector<N, T>& v, const unsigned char&)
{
unsigned int blk = std::min(nSize - i, (unsigned int)(1 + 4999999 / sizeof(T)));
v.resize_uninitialized(i + blk);
- is.read((char*)&v[i], blk * sizeof(T));
+ is.read(AsWritableBytes(Span{&v[i], blk}));
i += blk;
}
}
@@ -814,7 +784,7 @@ void Serialize_impl(Stream& os, const std::vector<T, A>& v, const unsigned char&
{
WriteCompactSize(os, v.size());
if (!v.empty())
- os.write((char*)v.data(), v.size() * sizeof(T));
+ os.write(MakeByteSpan(v));
}
template<typename Stream, typename T, typename A>
@@ -853,7 +823,7 @@ void Unserialize_impl(Stream& is, std::vector<T, A>& v, const unsigned char&)
{
unsigned int blk = std::min(nSize - i, (unsigned int)(1 + 4999999 / sizeof(T)));
v.resize(i + blk);
- is.read((char*)&v[i], blk * sizeof(T));
+ is.read(AsWritableBytes(Span{&v[i], blk}));
i += blk;
}
}
@@ -1018,9 +988,9 @@ protected:
public:
explicit CSizeComputer(int nVersionIn) : nSize(0), nVersion(nVersionIn) {}
- void write(const char *psz, size_t _nSize)
+ void write(Span<const std::byte> src)
{
- this->nSize += _nSize;
+ this->nSize += src.size();
}
/** Pretend _nSize bytes are written, without specifying them. */
diff --git a/src/shutdown.cpp b/src/shutdown.cpp
index 6a73e0b2d8..93f04e9021 100644
--- a/src/shutdown.cpp
+++ b/src/shutdown.cpp
@@ -1,22 +1,35 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <shutdown.h>
+#include <logging.h>
+#include <node/ui_interface.h>
+#include <util/tokenpipe.h>
+#include <warnings.h>
+
#include <config/bitcoin-config.h>
#include <assert.h>
#include <atomic>
#ifdef WIN32
#include <condition_variable>
-#else
-#include <errno.h>
-#include <fcntl.h>
-#include <unistd.h>
#endif
+bool AbortNode(const std::string& strMessage, bilingual_str user_message)
+{
+ SetMiscWarning(Untranslated(strMessage));
+ LogPrintf("*** %s\n", strMessage);
+ if (user_message.empty()) {
+ user_message = _("A fatal internal error occurred, see debug.log for details");
+ }
+ AbortError(user_message);
+ StartShutdown();
+ return false;
+}
+
static std::atomic<bool> fRequestShutdown(false);
#ifdef WIN32
/** On windows it is possible to simply use a condition variable. */
@@ -24,25 +37,18 @@ std::mutex g_shutdown_mutex;
std::condition_variable g_shutdown_cv;
#else
/** On UNIX-like operating systems use the self-pipe trick.
- * Index 0 will be the read end of the pipe, index 1 the write end.
*/
-static int g_shutdown_pipe[2] = {-1, -1};
+static TokenPipeEnd g_shutdown_r;
+static TokenPipeEnd g_shutdown_w;
#endif
bool InitShutdownState()
{
#ifndef WIN32
-#if HAVE_O_CLOEXEC && HAVE_DECL_PIPE2
- // If we can, make sure that the file descriptors are closed on exec()
- // to prevent interference.
- if (pipe2(g_shutdown_pipe, O_CLOEXEC) != 0) {
- return false;
- }
-#else
- if (pipe(g_shutdown_pipe) != 0) {
- return false;
- }
-#endif
+ std::optional<TokenPipe> pipe = TokenPipe::Make();
+ if (!pipe) return false;
+ g_shutdown_r = pipe->TakeReadEnd();
+ g_shutdown_w = pipe->TakeWriteEnd();
#endif
return true;
}
@@ -59,17 +65,10 @@ void StartShutdown()
// case of a reentrant signal.
if (!fRequestShutdown.exchange(true)) {
// Write an arbitrary byte to the write end of the shutdown pipe.
- const char token = 'x';
- while (true) {
- int result = write(g_shutdown_pipe[1], &token, 1);
- if (result < 0) {
- // Failure. It's possible that the write was interrupted by another signal.
- // Other errors are unexpected here.
- assert(errno == EINTR);
- } else {
- assert(result == 1);
- break;
- }
+ int res = g_shutdown_w.TokenWrite('x');
+ if (res != 0) {
+ LogPrintf("Sending shutdown token failed\n");
+ assert(0);
}
}
#endif
@@ -96,17 +95,10 @@ void WaitForShutdown()
std::unique_lock<std::mutex> lk(g_shutdown_mutex);
g_shutdown_cv.wait(lk, [] { return fRequestShutdown.load(); });
#else
- char token;
- while (true) {
- int result = read(g_shutdown_pipe[0], &token, 1);
- if (result < 0) {
- // Failure. Check if the read was interrupted by a signal.
- // Other errors are unexpected here.
- assert(errno == EINTR);
- } else {
- assert(result == 1);
- break;
- }
+ int res = g_shutdown_r.TokenRead();
+ if (res != 'x') {
+ LogPrintf("Reading shutdown token failed\n");
+ assert(0);
}
#endif
}
diff --git a/src/shutdown.h b/src/shutdown.h
index b2fbdb8cfb..07a8315788 100644
--- a/src/shutdown.h
+++ b/src/shutdown.h
@@ -1,11 +1,16 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_SHUTDOWN_H
#define BITCOIN_SHUTDOWN_H
+#include <util/translation.h> // For bilingual_str
+
+/** Abort with a message */
+bool AbortNode(const std::string& strMessage, bilingual_str user_message = bilingual_str{});
+
/** Initialize shutdown state. This must be called before using either StartShutdown(),
* AbortShutdown() or WaitForShutdown(). Calling ShutdownRequested() is always safe.
*/
@@ -27,4 +32,4 @@ bool ShutdownRequested();
*/
void WaitForShutdown();
-#endif
+#endif // BITCOIN_SHUTDOWN_H
diff --git a/src/signet.cpp b/src/signet.cpp
index e68f031aa4..747bd1b0a8 100644
--- a/src/signet.cpp
+++ b/src/signet.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -38,7 +38,7 @@ static bool FetchAndClearCommitmentSection(const Span<const uint8_t> header, CSc
std::vector<uint8_t> pushdata;
while (witness_commitment.GetOp(pc, opcode, pushdata)) {
if (pushdata.size() > 0) {
- if (!found_header && pushdata.size() > (size_t) header.size() && Span<const uint8_t>(pushdata.data(), header.size()) == header) {
+ if (!found_header && pushdata.size() > (size_t)header.size() && Span{pushdata}.first(header.size()) == header) {
// pushdata only counts if it has the header _and_ some data
result.insert(result.end(), pushdata.begin() + header.size(), pushdata.end());
pushdata.erase(pushdata.begin() + header.size(), pushdata.end());
@@ -65,7 +65,7 @@ static uint256 ComputeModifiedMerkleRoot(const CMutableTransaction& cb, const CB
return ComputeMerkleRoot(std::move(leaves));
}
-Optional<SignetTxs> SignetTxs::Create(const CBlock& block, const CScript& challenge)
+std::optional<SignetTxs> SignetTxs::Create(const CBlock& block, const CScript& challenge)
{
CMutableTransaction tx_to_spend;
tx_to_spend.nVersion = 0;
@@ -83,12 +83,12 @@ Optional<SignetTxs> SignetTxs::Create(const CBlock& block, const CScript& challe
// responses from block coinbase tx
// find and delete signet signature
- if (block.vtx.empty()) return nullopt; // no coinbase tx in block; invalid
+ if (block.vtx.empty()) return std::nullopt; // no coinbase tx in block; invalid
CMutableTransaction modified_cb(*block.vtx.at(0));
const int cidx = GetWitnessCommitmentIndex(block);
if (cidx == NO_WITNESS_COMMITMENT) {
- return nullopt; // require a witness commitment
+ return std::nullopt; // require a witness commitment
}
CScript& witness_commitment = modified_cb.vout.at(cidx).scriptPubKey;
@@ -98,12 +98,12 @@ Optional<SignetTxs> SignetTxs::Create(const CBlock& block, const CScript& challe
// no signet solution -- allow this to support OP_TRUE as trivial block challenge
} else {
try {
- VectorReader v(SER_NETWORK, INIT_PROTO_VERSION, signet_solution, 0);
+ SpanReader v{SER_NETWORK, INIT_PROTO_VERSION, signet_solution};
v >> tx_spending.vin[0].scriptSig;
v >> tx_spending.vin[0].scriptWitness.stack;
- if (!v.empty()) return nullopt; // extraneous data encountered
+ if (!v.empty()) return std::nullopt; // extraneous data encountered
} catch (const std::exception&) {
- return nullopt; // parsing error
+ return std::nullopt; // parsing error
}
}
uint256 signet_merkle = ComputeModifiedMerkleRoot(modified_cb, block);
@@ -129,7 +129,7 @@ bool CheckSignetBlockSolution(const CBlock& block, const Consensus::Params& cons
}
const CScript challenge(consensusParams.signet_challenge.begin(), consensusParams.signet_challenge.end());
- const Optional<SignetTxs> signet_txs = SignetTxs::Create(block, challenge);
+ const std::optional<SignetTxs> signet_txs = SignetTxs::Create(block, challenge);
if (!signet_txs) {
LogPrint(BCLog::VALIDATION, "CheckSignetBlockSolution: Errors in block (block solution parse failure)\n");
@@ -139,7 +139,9 @@ bool CheckSignetBlockSolution(const CBlock& block, const Consensus::Params& cons
const CScript& scriptSig = signet_txs->m_to_sign.vin[0].scriptSig;
const CScriptWitness& witness = signet_txs->m_to_sign.vin[0].scriptWitness;
- TransactionSignatureChecker sigcheck(&signet_txs->m_to_sign, /*nIn=*/ 0, /*amount=*/ signet_txs->m_to_spend.vout[0].nValue);
+ PrecomputedTransactionData txdata;
+ txdata.Init(signet_txs->m_to_sign, {signet_txs->m_to_spend.vout[0]});
+ TransactionSignatureChecker sigcheck(&signet_txs->m_to_sign, /* nInIn= */ 0, /* amountIn= */ signet_txs->m_to_spend.vout[0].nValue, txdata, MissingDataBehavior::ASSERT_FAIL);
if (!VerifyScript(scriptSig, signet_txs->m_to_spend.vout[0].scriptPubKey, &witness, BLOCK_SCRIPT_VERIFY_FLAGS, sigcheck)) {
LogPrint(BCLog::VALIDATION, "CheckSignetBlockSolution: Errors in block (block solution invalid)\n");
diff --git a/src/signet.h b/src/signet.h
index 23563a83c4..6912fc7f4b 100644
--- a/src/signet.h
+++ b/src/signet.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,7 +9,7 @@
#include <primitives/block.h>
#include <primitives/transaction.h>
-#include <optional.h>
+#include <optional>
/**
* Extract signature and check whether a block has a valid solution
@@ -28,7 +28,7 @@ class SignetTxs {
SignetTxs(const T1& to_spend, const T2& to_sign) : m_to_spend{to_spend}, m_to_sign{to_sign} { }
public:
- static Optional<SignetTxs> Create(const CBlock& block, const CScript& challenge);
+ static std::optional<SignetTxs> Create(const CBlock& block, const CScript& challenge);
const CTransaction m_to_spend;
const CTransaction m_to_sign;
diff --git a/src/span.h b/src/span.h
index 830164514b..b627b993c2 100644
--- a/src/span.h
+++ b/src/span.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -30,7 +30,11 @@
/** A Span is an object that can refer to a contiguous sequence of objects.
*
- * It implements a subset of C++20's std::span.
+ * This file implements a subset of C++20's std::span. It can be considered
+ * temporary compatibility code until C++20 and is designed to be a
+ * self-contained abstraction without depending on other project files. For this
+ * reason, Clang lifetimebound is defined here instead of including
+ * <attributes.h>, which also defines it.
*
* Things to be aware of when writing code that deals with Spans:
*
@@ -60,7 +64,7 @@
* types that expose a data() and size() member function), functions that
* accept a Span as input parameter can be called with any compatible
* range-like object. For example, this works:
-*
+ *
* void Foo(Span<const int> arg);
*
* Foo(std::vector<int>{1, 2, 3}); // Works
@@ -180,6 +184,7 @@ public:
return m_data[m_size - 1];
}
constexpr std::size_t size() const noexcept { return m_size; }
+ constexpr std::size_t size_bytes() const noexcept { return sizeof(C) * m_size; }
constexpr bool empty() const noexcept { return size() == 0; }
CONSTEXPR_IF_NOT_DEBUG C& operator[](std::size_t pos) const noexcept
{
@@ -217,13 +222,15 @@ public:
template <typename O> friend class Span;
};
-// MakeSpan helps constructing a Span of the right type automatically.
-/** MakeSpan for arrays: */
-template <typename A, int N> Span<A> constexpr MakeSpan(A (&a)[N]) { return Span<A>(a, N); }
-/** MakeSpan for temporaries / rvalue references, only supporting const output. */
-template <typename V> constexpr auto MakeSpan(V&& v SPAN_ATTR_LIFETIMEBOUND) -> typename std::enable_if<!std::is_lvalue_reference<V>::value, Span<const typename std::remove_pointer<decltype(v.data())>::type>>::type { return std::forward<V>(v); }
-/** MakeSpan for (lvalue) references, supporting mutable output. */
-template <typename V> constexpr auto MakeSpan(V& v SPAN_ATTR_LIFETIMEBOUND) -> Span<typename std::remove_pointer<decltype(v.data())>::type> { return v; }
+// Deduction guides for Span
+// For the pointer/size based and iterator based constructor:
+template <typename T, typename EndOrSize> Span(T*, EndOrSize) -> Span<T>;
+// For the array constructor:
+template <typename T, std::size_t N> Span(T (&)[N]) -> Span<T>;
+// For the temporaries/rvalue references constructor, only supporting const output.
+template <typename T> Span(T&&) -> Span<std::enable_if_t<!std::is_lvalue_reference_v<T>, const std::remove_pointer_t<decltype(std::declval<T&&>().data())>>>;
+// For (lvalue) references, supporting mutable output.
+template <typename T> Span(T&) -> Span<std::remove_pointer_t<decltype(std::declval<T&>().data())>>;
/** Pop the last element off a span, and return a reference to that element. */
template <typename T>
@@ -236,16 +243,45 @@ T& SpanPopBack(Span<T>& span)
return back;
}
+//! Convert a data pointer to a std::byte data pointer.
+//! Where possible, please use the safer AsBytes helpers.
+inline const std::byte* BytePtr(const void* data) { return reinterpret_cast<const std::byte*>(data); }
+inline std::byte* BytePtr(void* data) { return reinterpret_cast<std::byte*>(data); }
+
+// From C++20 as_bytes and as_writeable_bytes
+template <typename T>
+Span<const std::byte> AsBytes(Span<T> s) noexcept
+{
+ return {BytePtr(s.data()), s.size_bytes()};
+}
+template <typename T>
+Span<std::byte> AsWritableBytes(Span<T> s) noexcept
+{
+ return {BytePtr(s.data()), s.size_bytes()};
+}
+
+template <typename V>
+Span<const std::byte> MakeByteSpan(V&& v) noexcept
+{
+ return AsBytes(Span{std::forward<V>(v)});
+}
+template <typename V>
+Span<std::byte> MakeWritableByteSpan(V&& v) noexcept
+{
+ return AsWritableBytes(Span{std::forward<V>(v)});
+}
+
// Helper functions to safely cast to unsigned char pointers.
inline unsigned char* UCharCast(char* c) { return (unsigned char*)c; }
inline unsigned char* UCharCast(unsigned char* c) { return c; }
inline const unsigned char* UCharCast(const char* c) { return (unsigned char*)c; }
inline const unsigned char* UCharCast(const unsigned char* c) { return c; }
+inline const unsigned char* UCharCast(const std::byte* c) { return reinterpret_cast<const unsigned char*>(c); }
// Helper function to safely convert a Span to a Span<[const] unsigned char>.
template <typename T> constexpr auto UCharSpanCast(Span<T> s) -> Span<typename std::remove_pointer<decltype(UCharCast(s.data()))>::type> { return {UCharCast(s.data()), s.size()}; }
-/** Like MakeSpan, but for (const) unsigned char member types only. Only works for (un)signed char containers. */
-template <typename V> constexpr auto MakeUCharSpan(V&& v) -> decltype(UCharSpanCast(MakeSpan(std::forward<V>(v)))) { return UCharSpanCast(MakeSpan(std::forward<V>(v))); }
+/** Like the Span constructor, but for (const) unsigned char member types only. Only works for (un)signed char containers. */
+template <typename V> constexpr auto MakeUCharSpan(V&& v) -> decltype(UCharSpanCast(Span{std::forward<V>(v)})) { return UCharSpanCast(Span{std::forward<V>(v)}); }
-#endif
+#endif // BITCOIN_SPAN_H
diff --git a/src/streams.h b/src/streams.h
index e78da31cbc..cf8b4eb96f 100644
--- a/src/streams.h
+++ b/src/streams.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -49,14 +49,14 @@ public:
return (*this);
}
- void write(const char* pch, size_t nSize)
+ void write(Span<const std::byte> src)
{
- stream->write(pch, nSize);
+ stream->write(src);
}
- void read(char* pch, size_t nSize)
+ void read(Span<std::byte> dst)
{
- stream->read(pch, nSize);
+ stream->read(dst);
}
int GetVersion() const { return nVersion; }
@@ -94,17 +94,17 @@ class CVectorWriter
{
::SerializeMany(*this, std::forward<Args>(args)...);
}
- void write(const char* pch, size_t nSize)
+ void write(Span<const std::byte> src)
{
assert(nPos <= vchData.size());
- size_t nOverwrite = std::min(nSize, vchData.size() - nPos);
+ size_t nOverwrite = std::min(src.size(), vchData.size() - nPos);
if (nOverwrite) {
- memcpy(vchData.data() + nPos, reinterpret_cast<const unsigned char*>(pch), nOverwrite);
+ memcpy(vchData.data() + nPos, src.data(), nOverwrite);
}
- if (nOverwrite < nSize) {
- vchData.insert(vchData.end(), reinterpret_cast<const unsigned char*>(pch) + nOverwrite, reinterpret_cast<const unsigned char*>(pch) + nSize);
+ if (nOverwrite < src.size()) {
+ vchData.insert(vchData.end(), UCharCast(src.data()) + nOverwrite, UCharCast(src.end()));
}
- nPos += nSize;
+ nPos += src.size();
}
template<typename T>
CVectorWriter& operator<<(const T& obj)
@@ -128,15 +128,14 @@ private:
size_t nPos;
};
-/** Minimal stream for reading from an existing vector by reference
+/** Minimal stream for reading from an existing byte array by Span.
*/
-class VectorReader
+class SpanReader
{
private:
const int m_type;
const int m_version;
- const std::vector<unsigned char>& m_data;
- size_t m_pos = 0;
+ Span<const unsigned char> m_data;
public:
@@ -144,30 +143,12 @@ public:
* @param[in] type Serialization Type
* @param[in] version Serialization Version (including any flags)
* @param[in] data Referenced byte vector to overwrite/append
- * @param[in] pos Starting position. Vector index where reads should start.
*/
- VectorReader(int type, int version, const std::vector<unsigned char>& data, size_t pos)
- : m_type(type), m_version(version), m_data(data), m_pos(pos)
- {
- if (m_pos > m_data.size()) {
- throw std::ios_base::failure("VectorReader(...): end of data (m_pos > m_data.size())");
- }
- }
-
- /**
- * (other params same as above)
- * @param[in] args A list of items to deserialize starting at pos.
- */
- template <typename... Args>
- VectorReader(int type, int version, const std::vector<unsigned char>& data, size_t pos,
- Args&&... args)
- : VectorReader(type, version, data, pos)
- {
- ::UnserializeMany(*this, std::forward<Args>(args)...);
- }
+ SpanReader(int type, int version, Span<const unsigned char> data)
+ : m_type(type), m_version(version), m_data(data) {}
template<typename T>
- VectorReader& operator>>(T& obj)
+ SpanReader& operator>>(T&& obj)
{
// Unserialize from this stream
::Unserialize(*this, obj);
@@ -177,22 +158,21 @@ public:
int GetVersion() const { return m_version; }
int GetType() const { return m_type; }
- size_t size() const { return m_data.size() - m_pos; }
- bool empty() const { return m_data.size() == m_pos; }
+ size_t size() const { return m_data.size(); }
+ bool empty() const { return m_data.empty(); }
- void read(char* dst, size_t n)
+ void read(Span<std::byte> dst)
{
- if (n == 0) {
+ if (dst.size() == 0) {
return;
}
// Read from the beginning of the buffer
- size_t pos_next = m_pos + n;
- if (pos_next > m_data.size()) {
- throw std::ios_base::failure("VectorReader::read(): end of data");
+ if (dst.size() > m_data.size()) {
+ throw std::ios_base::failure("SpanReader::read(): end of data");
}
- memcpy(dst, m_data.data() + m_pos, n);
- m_pos = pos_next;
+ memcpy(dst.data(), m_data.data(), dst.size());
+ m_data = m_data.subspan(dst.size());
}
};
@@ -226,7 +206,8 @@ public:
: nType{nTypeIn},
nVersion{nVersionIn} {}
- explicit CDataStream(Span<const uint8_t> sp, int nTypeIn, int nVersionIn)
+ explicit CDataStream(Span<const uint8_t> sp, int type, int version) : CDataStream{AsBytes(sp), type, version} {}
+ explicit CDataStream(Span<const value_type> sp, int nTypeIn, int nVersionIn)
: vch(sp.data(), sp.data() + sp.size()),
nType{nTypeIn},
nVersion{nVersionIn} {}
@@ -241,7 +222,7 @@ public:
std::string str() const
{
- return (std::string(begin(), end()));
+ return std::string{UCharCast(data()), UCharCast(data() + size())};
}
@@ -254,81 +235,14 @@ public:
iterator end() { return vch.end(); }
size_type size() const { return vch.size() - nReadPos; }
bool empty() const { return vch.size() == nReadPos; }
- void resize(size_type n, value_type c=0) { vch.resize(n + nReadPos, c); }
+ void resize(size_type n, value_type c = value_type{}) { vch.resize(n + nReadPos, c); }
void reserve(size_type n) { vch.reserve(n + nReadPos); }
const_reference operator[](size_type pos) const { return vch[pos + nReadPos]; }
reference operator[](size_type pos) { return vch[pos + nReadPos]; }
void clear() { vch.clear(); nReadPos = 0; }
- iterator insert(iterator it, const uint8_t x) { return vch.insert(it, x); }
- void insert(iterator it, size_type n, const uint8_t x) { vch.insert(it, n, x); }
value_type* data() { return vch.data() + nReadPos; }
const value_type* data() const { return vch.data() + nReadPos; }
- void insert(iterator it, std::vector<uint8_t>::const_iterator first, std::vector<uint8_t>::const_iterator last)
- {
- if (last == first) return;
- assert(last - first > 0);
- if (it == vch.begin() + nReadPos && (unsigned int)(last - first) <= nReadPos)
- {
- // special case for inserting at the front when there's room
- nReadPos -= (last - first);
- memcpy(&vch[nReadPos], &first[0], last - first);
- }
- else
- vch.insert(it, first, last);
- }
-
- void insert(iterator it, const char* first, const char* last)
- {
- if (last == first) return;
- assert(last - first > 0);
- if (it == vch.begin() + nReadPos && (unsigned int)(last - first) <= nReadPos)
- {
- // special case for inserting at the front when there's room
- nReadPos -= (last - first);
- memcpy(&vch[nReadPos], &first[0], last - first);
- }
- else
- vch.insert(it, first, last);
- }
-
- iterator erase(iterator it)
- {
- if (it == vch.begin() + nReadPos)
- {
- // special case for erasing from the front
- if (++nReadPos >= vch.size())
- {
- // whenever we reach the end, we take the opportunity to clear the buffer
- nReadPos = 0;
- return vch.erase(vch.begin(), vch.end());
- }
- return vch.begin() + nReadPos;
- }
- else
- return vch.erase(it);
- }
-
- iterator erase(iterator first, iterator last)
- {
- if (first == vch.begin() + nReadPos)
- {
- // special case for erasing from the front
- if (last == vch.end())
- {
- nReadPos = 0;
- return vch.erase(vch.begin(), vch.end());
- }
- else
- {
- nReadPos = (last - vch.begin());
- return last;
- }
- }
- else
- return vch.erase(first, last);
- }
-
inline void Compact()
{
vch.erase(vch.begin(), vch.begin() + nReadPos);
@@ -362,16 +276,16 @@ public:
void SetVersion(int n) { nVersion = n; }
int GetVersion() const { return nVersion; }
- void read(char* pch, size_t nSize)
+ void read(Span<value_type> dst)
{
- if (nSize == 0) return;
+ if (dst.size() == 0) return;
// Read from the beginning of the buffer
- unsigned int nReadPosNext = nReadPos + nSize;
+ unsigned int nReadPosNext = nReadPos + dst.size();
if (nReadPosNext > vch.size()) {
throw std::ios_base::failure("CDataStream::read(): end of data");
}
- memcpy(pch, &vch[nReadPos], nSize);
+ memcpy(dst.data(), &vch[nReadPos], dst.size());
if (nReadPosNext == vch.size())
{
nReadPos = 0;
@@ -399,10 +313,10 @@ public:
nReadPos = nReadPosNext;
}
- void write(const char* pch, size_t nSize)
+ void write(Span<const value_type> src)
{
// Write to the end of the buffer
- vch.insert(vch.end(), pch, pch + nSize);
+ vch.insert(vch.end(), src.begin(), src.end());
}
template<typename Stream>
@@ -410,7 +324,7 @@ public:
{
// Special case: stream << stream concatenates like stream += stream
if (!vch.empty())
- s.write((char*)vch.data(), vch.size() * sizeof(value_type));
+ s.write(MakeByteSpan(vch));
}
template<typename T>
@@ -441,7 +355,7 @@ public:
}
for (size_type i = 0, j = 0; i != size(); i++) {
- vch[i] ^= key[j++];
+ vch[i] ^= std::byte{key[j++]};
// This potentially acts on very many bytes of data, so it's
// important that we calculate `j`, i.e. the `key` index in this
@@ -614,12 +528,13 @@ public:
int GetType() const { return nType; }
int GetVersion() const { return nVersion; }
- void read(char* pch, size_t nSize)
+ void read(Span<std::byte> dst)
{
if (!file)
throw std::ios_base::failure("CAutoFile::read: file handle is nullptr");
- if (fread(pch, 1, nSize, file) != nSize)
+ if (fread(dst.data(), 1, dst.size(), file) != dst.size()) {
throw std::ios_base::failure(feof(file) ? "CAutoFile::read: end of file" : "CAutoFile::read: fread failed");
+ }
}
void ignore(size_t nSize)
@@ -635,12 +550,13 @@ public:
}
}
- void write(const char* pch, size_t nSize)
+ void write(Span<const std::byte> src)
{
if (!file)
throw std::ios_base::failure("CAutoFile::write: file handle is nullptr");
- if (fwrite(pch, 1, nSize, file) != nSize)
+ if (fwrite(src.data(), 1, src.size(), file) != src.size()) {
throw std::ios_base::failure("CAutoFile::write: write failed");
+ }
}
template<typename T>
@@ -681,7 +597,7 @@ private:
uint64_t nReadPos; //!< how many bytes have been read from this
uint64_t nReadLimit; //!< up to which position we're allowed to read
uint64_t nRewind; //!< how many bytes we guarantee to rewind
- std::vector<char> vchBuf; //!< the buffer
+ std::vector<std::byte> vchBuf; //!< the buffer
protected:
//! read data from the source to fill the buffer
@@ -702,8 +618,8 @@ protected:
}
public:
- CBufferedFile(FILE *fileIn, uint64_t nBufSize, uint64_t nRewindIn, int nTypeIn, int nVersionIn) :
- nType(nTypeIn), nVersion(nVersionIn), nSrcPos(0), nReadPos(0), nReadLimit(std::numeric_limits<uint64_t>::max()), nRewind(nRewindIn), vchBuf(nBufSize, 0)
+ CBufferedFile(FILE* fileIn, uint64_t nBufSize, uint64_t nRewindIn, int nTypeIn, int nVersionIn)
+ : nType(nTypeIn), nVersion(nVersionIn), nSrcPos(0), nReadPos(0), nReadLimit(std::numeric_limits<uint64_t>::max()), nRewind(nRewindIn), vchBuf(nBufSize, std::byte{0})
{
if (nRewindIn >= nBufSize)
throw std::ios_base::failure("Rewind limit must be less than buffer size");
@@ -736,22 +652,23 @@ public:
}
//! read a number of bytes
- void read(char *pch, size_t nSize) {
- if (nSize + nReadPos > nReadLimit)
+ void read(Span<std::byte> dst)
+ {
+ if (dst.size() + nReadPos > nReadLimit) {
throw std::ios_base::failure("Read attempted past buffer limit");
- while (nSize > 0) {
+ }
+ while (dst.size() > 0) {
if (nReadPos == nSrcPos)
Fill();
unsigned int pos = nReadPos % vchBuf.size();
- size_t nNow = nSize;
+ size_t nNow = dst.size();
if (nNow + pos > vchBuf.size())
nNow = vchBuf.size() - pos;
if (nNow + nReadPos > nSrcPos)
nNow = nSrcPos - nReadPos;
- memcpy(pch, &vchBuf[pos], nNow);
+ memcpy(dst.data(), &vchBuf[pos], nNow);
nReadPos += nNow;
- pch += nNow;
- nSize -= nNow;
+ dst = dst.subspan(nNow);
}
}
@@ -794,12 +711,14 @@ public:
}
//! search for a given byte in the stream, and remain positioned on it
- void FindByte(char ch) {
+ void FindByte(uint8_t ch)
+ {
while (true) {
if (nReadPos == nSrcPos)
Fill();
- if (vchBuf[nReadPos % vchBuf.size()] == ch)
+ if (vchBuf[nReadPos % vchBuf.size()] == std::byte{ch}) {
break;
+ }
nReadPos++;
}
}
diff --git a/src/support/allocators/secure.h b/src/support/allocators/secure.h
index 0e31ad3ce3..a9aa928082 100644
--- a/src/support/allocators/secure.h
+++ b/src/support/allocators/secure.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,6 +9,7 @@
#include <support/lockedpool.h>
#include <support/cleanse.h>
+#include <memory>
#include <string>
//
@@ -17,15 +18,13 @@
//
template <typename T>
struct secure_allocator : public std::allocator<T> {
- // MSVC8 default copy constructor is broken
- typedef std::allocator<T> base;
- typedef typename base::size_type size_type;
- typedef typename base::difference_type difference_type;
- typedef typename base::pointer pointer;
- typedef typename base::const_pointer const_pointer;
- typedef typename base::reference reference;
- typedef typename base::const_reference const_reference;
- typedef typename base::value_type value_type;
+ using base = std::allocator<T>;
+ using traits = std::allocator_traits<base>;
+ using size_type = typename traits::size_type;
+ using difference_type = typename traits::difference_type;
+ using pointer = typename traits::pointer;
+ using const_pointer = typename traits::const_pointer;
+ using value_type = typename traits::value_type;
secure_allocator() noexcept {}
secure_allocator(const secure_allocator& a) noexcept : base(a) {}
template <typename U>
diff --git a/src/support/allocators/zeroafterfree.h b/src/support/allocators/zeroafterfree.h
index 418f0ee656..0befe0ffcd 100644
--- a/src/support/allocators/zeroafterfree.h
+++ b/src/support/allocators/zeroafterfree.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2018 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,15 +13,13 @@
template <typename T>
struct zero_after_free_allocator : public std::allocator<T> {
- // MSVC8 default copy constructor is broken
- typedef std::allocator<T> base;
- typedef typename base::size_type size_type;
- typedef typename base::difference_type difference_type;
- typedef typename base::pointer pointer;
- typedef typename base::const_pointer const_pointer;
- typedef typename base::reference reference;
- typedef typename base::const_reference const_reference;
- typedef typename base::value_type value_type;
+ using base = std::allocator<T>;
+ using traits = std::allocator_traits<base>;
+ using size_type = typename traits::size_type;
+ using difference_type = typename traits::difference_type;
+ using pointer = typename traits::pointer;
+ using const_pointer = typename traits::const_pointer;
+ using value_type = typename traits::value_type;
zero_after_free_allocator() noexcept {}
zero_after_free_allocator(const zero_after_free_allocator& a) noexcept : base(a) {}
template <typename U>
@@ -43,6 +41,6 @@ struct zero_after_free_allocator : public std::allocator<T> {
};
/** Byte-vector that clears its contents before deletion. */
-using SerializeData = std::vector<uint8_t, zero_after_free_allocator<uint8_t>>;
+using SerializeData = std::vector<std::byte, zero_after_free_allocator<std::byte>>;
#endif // BITCOIN_SUPPORT_ALLOCATORS_ZEROAFTERFREE_H
diff --git a/src/sync.cpp b/src/sync.cpp
index a2b62c2286..4621805653 100644
--- a/src/sync.cpp
+++ b/src/sync.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -23,17 +23,6 @@
#include <utility>
#include <vector>
-#ifdef DEBUG_LOCKCONTENTION
-#if !defined(HAVE_THREAD_LOCAL)
-static_assert(false, "thread_local is not supported");
-#endif
-void PrintLockContention(const char* pszName, const char* pszFile, int nLine)
-{
- LogPrintf("LOCKCONTENTION: %s\n", pszName);
- LogPrintf("Locker: %s:%d\n", pszFile, nLine);
-}
-#endif /* DEBUG_LOCKCONTENTION */
-
#ifdef DEBUG_LOCKORDER
//
// Early deadlock detection.
@@ -108,27 +97,29 @@ static void potential_deadlock_detected(const LockPair& mismatch, const LockStac
LogPrintf("POTENTIAL DEADLOCK DETECTED\n");
LogPrintf("Previous lock order was:\n");
for (const LockStackItem& i : s1) {
+ std::string prefix{};
if (i.first == mismatch.first) {
- LogPrintf(" (1)"); /* Continued */
+ prefix = " (1)";
}
if (i.first == mismatch.second) {
- LogPrintf(" (2)"); /* Continued */
+ prefix = " (2)";
}
- LogPrintf(" %s\n", i.second.ToString());
+ LogPrintf("%s %s\n", prefix, i.second.ToString());
}
std::string mutex_a, mutex_b;
LogPrintf("Current lock order is:\n");
for (const LockStackItem& i : s2) {
+ std::string prefix{};
if (i.first == mismatch.first) {
- LogPrintf(" (1)"); /* Continued */
+ prefix = " (1)";
mutex_a = i.second.Name();
}
if (i.first == mismatch.second) {
- LogPrintf(" (2)"); /* Continued */
+ prefix = " (2)";
mutex_b = i.second.Name();
}
- LogPrintf(" %s\n", i.second.ToString());
+ LogPrintf("%s %s\n", prefix, i.second.ToString());
}
if (g_debug_lockorder_abort) {
tfm::format(std::cerr, "Assertion failed: detected inconsistent lock order for %s, details in debug log.\n", s2.back().second.ToString());
@@ -142,10 +133,11 @@ static void double_lock_detected(const void* mutex, const LockStack& lock_stack)
LogPrintf("DOUBLE LOCK DETECTED\n");
LogPrintf("Lock order:\n");
for (const LockStackItem& i : lock_stack) {
+ std::string prefix{};
if (i.first == mutex) {
- LogPrintf(" (*)"); /* Continued */
+ prefix = " (*)";
}
- LogPrintf(" %s\n", i.second.ToString());
+ LogPrintf("%s %s\n", prefix, i.second.ToString());
}
if (g_debug_lockorder_abort) {
tfm::format(std::cerr,
diff --git a/src/sync.h b/src/sync.h
index 53213c2089..85000a9151 100644
--- a/src/sync.h
+++ b/src/sync.h
@@ -1,11 +1,13 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_SYNC_H
#define BITCOIN_SYNC_H
+#include <logging.h>
+#include <logging/timer.h>
#include <threadsafety.h>
#include <util/macros.h>
@@ -56,7 +58,7 @@ std::string LocksHeld();
template <typename MutexType>
void AssertLockHeldInternal(const char* pszName, const char* pszFile, int nLine, MutexType* cs) EXCLUSIVE_LOCKS_REQUIRED(cs);
template <typename MutexType>
-void AssertLockNotHeldInternal(const char* pszName, const char* pszFile, int nLine, MutexType* cs) EXCLUSIVE_LOCKS_REQUIRED(!cs);
+void AssertLockNotHeldInternal(const char* pszName, const char* pszFile, int nLine, MutexType* cs) LOCKS_EXCLUDED(cs);
void DeleteLock(void* cs);
bool LockStackEmpty();
@@ -74,7 +76,7 @@ inline void CheckLastCritical(void* cs, std::string& lockname, const char* guard
template <typename MutexType>
inline void AssertLockHeldInternal(const char* pszName, const char* pszFile, int nLine, MutexType* cs) EXCLUSIVE_LOCKS_REQUIRED(cs) {}
template <typename MutexType>
-void AssertLockNotHeldInternal(const char* pszName, const char* pszFile, int nLine, MutexType* cs) EXCLUSIVE_LOCKS_REQUIRED(!cs) {}
+void AssertLockNotHeldInternal(const char* pszName, const char* pszFile, int nLine, MutexType* cs) LOCKS_EXCLUDED(cs) {}
inline void DeleteLock(void* cs) {}
inline bool LockStackEmpty() { return true; }
#endif
@@ -126,10 +128,6 @@ using RecursiveMutex = AnnotatedMixin<std::recursive_mutex>;
/** Wrapped mutex: supports waiting but not recursive locking */
typedef AnnotatedMixin<std::mutex> Mutex;
-#ifdef DEBUG_LOCKCONTENTION
-void PrintLockContention(const char* pszName, const char* pszFile, int nLine);
-#endif
-
/** Wrapper around std::unique_lock style lock for Mutex. */
template <typename Mutex, typename Base = typename Mutex::UniqueLock>
class SCOPED_LOCKABLE UniqueLock : public Base
@@ -138,22 +136,18 @@ private:
void Enter(const char* pszName, const char* pszFile, int nLine)
{
EnterCritical(pszName, pszFile, nLine, Base::mutex());
-#ifdef DEBUG_LOCKCONTENTION
- if (!Base::try_lock()) {
- PrintLockContention(pszName, pszFile, nLine);
-#endif
- Base::lock();
-#ifdef DEBUG_LOCKCONTENTION
- }
-#endif
+ if (Base::try_lock()) return;
+ LOG_TIME_MICROS_WITH_CATEGORY(strprintf("lock contention %s, %s:%d", pszName, pszFile, nLine), BCLog::LOCK);
+ Base::lock();
}
bool TryEnter(const char* pszName, const char* pszFile, int nLine)
{
EnterCritical(pszName, pszFile, nLine, Base::mutex(), true);
Base::try_lock();
- if (!Base::owns_lock())
+ if (!Base::owns_lock()) {
LeaveCritical();
+ }
return Base::owns_lock();
}
diff --git a/src/test/README.md b/src/test/README.md
index 57cda26d7c..90d0e7102d 100644
--- a/src/test/README.md
+++ b/src/test/README.md
@@ -33,19 +33,31 @@ the `src/qt/test/test_main.cpp` file.
### Running individual tests
-`test_bitcoin` has some built-in command-line arguments; for
-example, to run just the `getarg_tests` verbosely:
+`test_bitcoin` accepts the command line arguments from the boost framework.
+For example, to run just the `getarg_tests` suite of tests:
- test_bitcoin --log_level=all --run_test=getarg_tests -- DEBUG_LOG_OUT
+```bash
+test_bitcoin --log_level=all --run_test=getarg_tests
+```
`log_level` controls the verbosity of the test framework, which logs when a
-test case is entered, for example. The `DEBUG_LOG_OUT` after the two dashes
-redirects the debug log, which would normally go to a file in the test datadir
+test case is entered, for example. `test_bitcoin` also accepts the command
+line arguments accepted by `bitcoind`. Use `--` to separate both types of
+arguments:
+
+```bash
+test_bitcoin --log_level=all --run_test=getarg_tests -- -printtoconsole=1
+```
+
+The `-printtoconsole=1` after the two dashes redirects the debug log, which
+would normally go to a file in the test datadir
(`BasicTestingSetup::m_path_root`), to the standard terminal output.
... or to run just the doubledash test:
- test_bitcoin --run_test=getarg_tests/doubledash
+```bash
+test_bitcoin --run_test=getarg_tests/doubledash
+```
Run `test_bitcoin --help` for the full list.
@@ -68,9 +80,35 @@ on failure. For running individual tests verbosely, refer to the section
To write to logs from unit tests you need to use specific message methods
provided by Boost. The simplest is `BOOST_TEST_MESSAGE`.
-For debugging you can launch the `test_bitcoin` executable with `gdb`or `lldb` and
+For debugging you can launch the `test_bitcoin` executable with `gdb` or `lldb` and
start debugging, just like you would with any other program:
```bash
gdb src/test/test_bitcoin
```
+
+#### Segmentation faults
+
+If you hit a segmentation fault during a test run, you can diagnose where the fault
+is happening by running `gdb ./src/test/test_bitcoin` and then using the `bt` command
+within gdb.
+
+Another tool that can be used to resolve segmentation faults is
+[valgrind](https://valgrind.org/).
+
+If for whatever reason you want to produce a core dump file for this fault, you can do
+that as well. By default, the boost test runner will intercept system errors and not
+produce a core file. To bypass this, add `--catch_system_errors=no` to the
+`test_bitcoin` arguments and ensure that your ulimits are set properly (e.g. `ulimit -c
+unlimited`).
+
+Running the tests and hitting a segmentation fault should now produce a file called `core`
+(on Linux platforms, the file name will likely depend on the contents of
+`/proc/sys/kernel/core_pattern`).
+
+You can then explore the core dump using
+```bash
+gdb src/test/test_bitcoin core
+
+(gbd) bt # produce a backtrace for where a segfault occurred
+```
diff --git a/src/test/addrman_tests.cpp b/src/test/addrman_tests.cpp
index 37ff8a9afe..efc30b6822 100644
--- a/src/test/addrman_tests.cpp
+++ b/src/test/addrman_tests.cpp
@@ -1,97 +1,35 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <addrdb.h>
#include <addrman.h>
+#include <addrman_impl.h>
+#include <chainparams.h>
+#include <clientversion.h>
+#include <hash.h>
+#include <netbase.h>
+#include <random.h>
#include <test/data/asmap.raw.h>
#include <test/util/setup_common.h>
#include <util/asmap.h>
#include <util/string.h>
-#include <hash.h>
-#include <netbase.h>
-#include <random.h>
#include <boost/test/unit_test.hpp>
+#include <optional>
#include <string>
-class CAddrManTest : public CAddrMan
-{
-private:
- bool deterministic;
-public:
- explicit CAddrManTest(bool makeDeterministic = true,
- std::vector<bool> asmap = std::vector<bool>())
- {
- if (makeDeterministic) {
- // Set addrman addr placement to be deterministic.
- MakeDeterministic();
- }
- deterministic = makeDeterministic;
- m_asmap = asmap;
- }
-
- //! Ensure that bucket placement is always the same for testing purposes.
- void MakeDeterministic()
- {
- nKey.SetNull();
- insecure_rand = FastRandomContext(true);
- }
-
- CAddrInfo* Find(const CNetAddr& addr, int* pnId = nullptr)
- {
- LOCK(cs);
- return CAddrMan::Find(addr, pnId);
- }
-
- CAddrInfo* Create(const CAddress& addr, const CNetAddr& addrSource, int* pnId = nullptr)
- {
- LOCK(cs);
- return CAddrMan::Create(addr, addrSource, pnId);
- }
-
- void Delete(int nId)
- {
- LOCK(cs);
- CAddrMan::Delete(nId);
- }
-
- // Used to test deserialization
- std::pair<int, int> GetBucketAndEntry(const CAddress& addr)
- {
- LOCK(cs);
- int nId = mapAddr[addr];
- for (int bucket = 0; bucket < ADDRMAN_NEW_BUCKET_COUNT; ++bucket) {
- for (int entry = 0; entry < ADDRMAN_BUCKET_SIZE; ++entry) {
- if (nId == vvNew[bucket][entry]) {
- return std::pair<int, int>(bucket, entry);
- }
- }
- }
- return std::pair<int, int>(-1, -1);
- }
+using namespace std::literals;
+using node::NodeContext;
- // Simulates connection failure so that we can test eviction of offline nodes
- void SimConnFail(const CService& addr)
- {
- LOCK(cs);
- int64_t nLastSuccess = 1;
- Good_(addr, true, nLastSuccess); // Set last good connection in the deep past.
-
- bool count_failure = false;
- int64_t nLastTry = GetAdjustedTime()-61;
- Attempt(addr, count_failure, nLastTry);
- }
-
- void Clear()
- {
- CAddrMan::Clear();
- if (deterministic) {
- nKey.SetNull();
- insecure_rand = FastRandomContext(true);
- }
- }
+static const std::vector<bool> EMPTY_ASMAP;
+static const bool DETERMINISTIC{true};
-};
+static int32_t GetCheckRatio(const NodeContext& node_ctx)
+{
+ return std::clamp<int32_t>(node_ctx.args->GetIntArg("-checkaddrman", 100), 0, 1000000);
+}
static CNetAddr ResolveIP(const std::string& ip)
{
@@ -100,7 +38,7 @@ static CNetAddr ResolveIP(const std::string& ip)
return addr;
}
-static CService ResolveService(const std::string& ip, const int port = 0)
+static CService ResolveService(const std::string& ip, uint16_t port = 0)
{
CService serv;
BOOST_CHECK_MESSAGE(Lookup(ip, serv, port, false), strprintf("failed to resolve: %s:%i", ip, port));
@@ -108,7 +46,8 @@ static CService ResolveService(const std::string& ip, const int port = 0)
}
-static std::vector<bool> FromBytes(const unsigned char* source, int vector_size) {
+static std::vector<bool> FromBytes(const unsigned char* source, int vector_size)
+{
std::vector<bool> result(vector_size);
for (int byte_i = 0; byte_i < vector_size / 8; ++byte_i) {
unsigned char cur_byte = source[byte_i];
@@ -119,32 +58,31 @@ static std::vector<bool> FromBytes(const unsigned char* source, int vector_size)
return result;
}
-
BOOST_FIXTURE_TEST_SUITE(addrman_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(addrman_simple)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
CNetAddr source = ResolveIP("252.2.2.2");
// Test: Does Addrman respond correctly when empty.
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
- CAddrInfo addr_null = addrman.Select();
+ BOOST_CHECK_EQUAL(addrman->size(), 0U);
+ auto addr_null = addrman->Select().first;
BOOST_CHECK_EQUAL(addr_null.ToString(), "[::]:0");
// Test: Does Addrman::Add work as expected.
CService addr1 = ResolveService("250.1.1.1", 8333);
- BOOST_CHECK(addrman.Add(CAddress(addr1, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
- CAddrInfo addr_ret1 = addrman.Select();
+ BOOST_CHECK(addrman->Add({CAddress(addr1, NODE_NONE)}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
+ auto addr_ret1 = addrman->Select().first;
BOOST_CHECK_EQUAL(addr_ret1.ToString(), "250.1.1.1:8333");
// Test: Does IP address deduplication work correctly.
// Expected dup IP should not be added.
CService addr1_dup = ResolveService("250.1.1.1", 8333);
- BOOST_CHECK(!addrman.Add(CAddress(addr1_dup, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
+ BOOST_CHECK(!addrman->Add({CAddress(addr1_dup, NODE_NONE)}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
// Test: New table has one addr and we add a diff addr we should
@@ -154,77 +92,72 @@ BOOST_AUTO_TEST_CASE(addrman_simple)
// success.
CService addr2 = ResolveService("250.1.1.2", 8333);
- BOOST_CHECK(addrman.Add(CAddress(addr2, NODE_NONE), source));
- BOOST_CHECK(addrman.size() >= 1);
-
- // Test: AddrMan::Clear() should empty the new table.
- addrman.Clear();
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
- CAddrInfo addr_null2 = addrman.Select();
- BOOST_CHECK_EQUAL(addr_null2.ToString(), "[::]:0");
+ BOOST_CHECK(addrman->Add({CAddress(addr2, NODE_NONE)}, source));
+ BOOST_CHECK(addrman->size() >= 1);
- // Test: AddrMan::Add multiple addresses works as expected
+ // Test: reset addrman and test AddrMan::Add multiple addresses works as expected
+ addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
std::vector<CAddress> vAddr;
vAddr.push_back(CAddress(ResolveService("250.1.1.3", 8333), NODE_NONE));
vAddr.push_back(CAddress(ResolveService("250.1.1.4", 8333), NODE_NONE));
- BOOST_CHECK(addrman.Add(vAddr, source));
- BOOST_CHECK(addrman.size() >= 1);
+ BOOST_CHECK(addrman->Add(vAddr, source));
+ BOOST_CHECK(addrman->size() >= 1);
}
BOOST_AUTO_TEST_CASE(addrman_ports)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
CNetAddr source = ResolveIP("252.2.2.2");
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
+ BOOST_CHECK_EQUAL(addrman->size(), 0U);
// Test 7; Addr with same IP but diff port does not replace existing addr.
CService addr1 = ResolveService("250.1.1.1", 8333);
- BOOST_CHECK(addrman.Add(CAddress(addr1, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
+ BOOST_CHECK(addrman->Add({CAddress(addr1, NODE_NONE)}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
CService addr1_port = ResolveService("250.1.1.1", 8334);
- BOOST_CHECK(!addrman.Add(CAddress(addr1_port, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
- CAddrInfo addr_ret2 = addrman.Select();
- BOOST_CHECK_EQUAL(addr_ret2.ToString(), "250.1.1.1:8333");
-
- // Test: Add same IP but diff port to tried table, it doesn't get added.
- // Perhaps this is not ideal behavior but it is the current behavior.
- addrman.Good(CAddress(addr1_port, NODE_NONE));
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
+ BOOST_CHECK(addrman->Add({CAddress(addr1_port, NODE_NONE)}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), 2U);
+ auto addr_ret2 = addrman->Select().first;
+ BOOST_CHECK(addr_ret2.ToString() == "250.1.1.1:8333" || addr_ret2.ToString() == "250.1.1.1:8334");
+
+ // Test: Add same IP but diff port to tried table; this converts the entry with
+ // the specified port to tried, but not the other.
+ addrman->Good(CAddress(addr1_port, NODE_NONE));
+ BOOST_CHECK_EQUAL(addrman->size(), 2U);
bool newOnly = true;
- CAddrInfo addr_ret3 = addrman.Select(newOnly);
+ auto addr_ret3 = addrman->Select(newOnly).first;
BOOST_CHECK_EQUAL(addr_ret3.ToString(), "250.1.1.1:8333");
}
BOOST_AUTO_TEST_CASE(addrman_select)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
CNetAddr source = ResolveIP("252.2.2.2");
// Test: Select from new with 1 addr in new.
CService addr1 = ResolveService("250.1.1.1", 8333);
- BOOST_CHECK(addrman.Add(CAddress(addr1, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
+ BOOST_CHECK(addrman->Add({CAddress(addr1, NODE_NONE)}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
bool newOnly = true;
- CAddrInfo addr_ret1 = addrman.Select(newOnly);
+ auto addr_ret1 = addrman->Select(newOnly).first;
BOOST_CHECK_EQUAL(addr_ret1.ToString(), "250.1.1.1:8333");
// Test: move addr to tried, select from new expected nothing returned.
- addrman.Good(CAddress(addr1, NODE_NONE));
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
- CAddrInfo addr_ret2 = addrman.Select(newOnly);
+ BOOST_CHECK(addrman->Good(CAddress(addr1, NODE_NONE)));
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
+ auto addr_ret2 = addrman->Select(newOnly).first;
BOOST_CHECK_EQUAL(addr_ret2.ToString(), "[::]:0");
- CAddrInfo addr_ret3 = addrman.Select();
+ auto addr_ret3 = addrman->Select().first;
BOOST_CHECK_EQUAL(addr_ret3.ToString(), "250.1.1.1:8333");
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
// Add three addresses to new table.
@@ -232,167 +165,133 @@ BOOST_AUTO_TEST_CASE(addrman_select)
CService addr3 = ResolveService("250.3.2.2", 9999);
CService addr4 = ResolveService("250.3.3.3", 9999);
- BOOST_CHECK(addrman.Add(CAddress(addr2, NODE_NONE), ResolveService("250.3.1.1", 8333)));
- BOOST_CHECK(addrman.Add(CAddress(addr3, NODE_NONE), ResolveService("250.3.1.1", 8333)));
- BOOST_CHECK(addrman.Add(CAddress(addr4, NODE_NONE), ResolveService("250.4.1.1", 8333)));
+ BOOST_CHECK(addrman->Add({CAddress(addr2, NODE_NONE)}, ResolveService("250.3.1.1", 8333)));
+ BOOST_CHECK(addrman->Add({CAddress(addr3, NODE_NONE)}, ResolveService("250.3.1.1", 8333)));
+ BOOST_CHECK(addrman->Add({CAddress(addr4, NODE_NONE)}, ResolveService("250.4.1.1", 8333)));
// Add three addresses to tried table.
CService addr5 = ResolveService("250.4.4.4", 8333);
CService addr6 = ResolveService("250.4.5.5", 7777);
CService addr7 = ResolveService("250.4.6.6", 8333);
- BOOST_CHECK(addrman.Add(CAddress(addr5, NODE_NONE), ResolveService("250.3.1.1", 8333)));
- addrman.Good(CAddress(addr5, NODE_NONE));
- BOOST_CHECK(addrman.Add(CAddress(addr6, NODE_NONE), ResolveService("250.3.1.1", 8333)));
- addrman.Good(CAddress(addr6, NODE_NONE));
- BOOST_CHECK(addrman.Add(CAddress(addr7, NODE_NONE), ResolveService("250.1.1.3", 8333)));
- addrman.Good(CAddress(addr7, NODE_NONE));
+ BOOST_CHECK(addrman->Add({CAddress(addr5, NODE_NONE)}, ResolveService("250.3.1.1", 8333)));
+ BOOST_CHECK(addrman->Good(CAddress(addr5, NODE_NONE)));
+ BOOST_CHECK(addrman->Add({CAddress(addr6, NODE_NONE)}, ResolveService("250.3.1.1", 8333)));
+ BOOST_CHECK(addrman->Good(CAddress(addr6, NODE_NONE)));
+ BOOST_CHECK(addrman->Add({CAddress(addr7, NODE_NONE)}, ResolveService("250.1.1.3", 8333)));
+ BOOST_CHECK(addrman->Good(CAddress(addr7, NODE_NONE)));
// Test: 6 addrs + 1 addr from last test = 7.
- BOOST_CHECK_EQUAL(addrman.size(), 7U);
+ BOOST_CHECK_EQUAL(addrman->size(), 7U);
// Test: Select pulls from new and tried regardless of port number.
std::set<uint16_t> ports;
for (int i = 0; i < 20; ++i) {
- ports.insert(addrman.Select().GetPort());
+ ports.insert(addrman->Select().first.GetPort());
}
BOOST_CHECK_EQUAL(ports.size(), 3U);
}
BOOST_AUTO_TEST_CASE(addrman_new_collisions)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
CNetAddr source = ResolveIP("252.2.2.2");
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
+ uint32_t num_addrs{0};
- for (unsigned int i = 1; i < 18; i++) {
- CService addr = ResolveService("250.1.1." + ToString(i));
- BOOST_CHECK(addrman.Add(CAddress(addr, NODE_NONE), source));
+ BOOST_CHECK_EQUAL(addrman->size(), num_addrs);
+
+ while (num_addrs < 22) { // Magic number! 250.1.1.1 - 250.1.1.22 do not collide with deterministic key = 1
+ CService addr = ResolveService("250.1.1." + ToString(++num_addrs));
+ BOOST_CHECK(addrman->Add({CAddress(addr, NODE_NONE)}, source));
- //Test: No collision in new table yet.
- BOOST_CHECK_EQUAL(addrman.size(), i);
+ // Test: No collision in new table yet.
+ BOOST_CHECK_EQUAL(addrman->size(), num_addrs);
}
- //Test: new table collision!
- CService addr1 = ResolveService("250.1.1.18");
- BOOST_CHECK(addrman.Add(CAddress(addr1, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 17U);
+ // Test: new table collision!
+ CService addr1 = ResolveService("250.1.1." + ToString(++num_addrs));
+ uint32_t collisions{1};
+ BOOST_CHECK(addrman->Add({CAddress(addr1, NODE_NONE)}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), num_addrs - collisions);
- CService addr2 = ResolveService("250.1.1.19");
- BOOST_CHECK(addrman.Add(CAddress(addr2, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 18U);
+ CService addr2 = ResolveService("250.1.1." + ToString(++num_addrs));
+ BOOST_CHECK(addrman->Add({CAddress(addr2, NODE_NONE)}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), num_addrs - collisions);
}
-BOOST_AUTO_TEST_CASE(addrman_tried_collisions)
+BOOST_AUTO_TEST_CASE(addrman_new_multiplicity)
{
- CAddrManTest addrman;
-
- CNetAddr source = ResolveIP("252.2.2.2");
-
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
-
- for (unsigned int i = 1; i < 80; i++) {
- CService addr = ResolveService("250.1.1." + ToString(i));
- BOOST_CHECK(addrman.Add(CAddress(addr, NODE_NONE), source));
- addrman.Good(CAddress(addr, NODE_NONE));
-
- //Test: No collision in tried table yet.
- BOOST_CHECK_EQUAL(addrman.size(), i);
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
+ CAddress addr{CAddress(ResolveService("253.3.3.3", 8333), NODE_NONE)};
+ int64_t start_time{GetAdjustedTime()};
+ addr.nTime = start_time;
+
+ // test that multiplicity stays at 1 if nTime doesn't increase
+ for (unsigned int i = 1; i < 20; ++i) {
+ std::string addr_ip{ToString(i % 256) + "." + ToString(i >> 8 % 256) + ".1.1"};
+ CNetAddr source{ResolveIP(addr_ip)};
+ addrman->Add({addr}, source);
}
-
- //Test: tried table collision!
- CService addr1 = ResolveService("250.1.1.80");
- BOOST_CHECK(addrman.Add(CAddress(addr1, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 79U);
-
- CService addr2 = ResolveService("250.1.1.81");
- BOOST_CHECK(addrman.Add(CAddress(addr2, NODE_NONE), source));
- BOOST_CHECK_EQUAL(addrman.size(), 80U);
+ AddressPosition addr_pos = addrman->FindAddressEntry(addr).value();
+ BOOST_CHECK_EQUAL(addr_pos.multiplicity, 1U);
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
+
+ // if nTime increases, an addr can occur in up to 8 buckets
+ // The acceptance probability decreases exponentially with existing multiplicity -
+ // choose number of iterations such that it gets to 8 with deterministic addrman.
+ for (unsigned int i = 1; i < 400; ++i) {
+ std::string addr_ip{ToString(i % 256) + "." + ToString(i >> 8 % 256) + ".1.1"};
+ CNetAddr source{ResolveIP(addr_ip)};
+ addr.nTime = start_time + i;
+ addrman->Add({addr}, source);
+ }
+ AddressPosition addr_pos_multi = addrman->FindAddressEntry(addr).value();
+ BOOST_CHECK_EQUAL(addr_pos_multi.multiplicity, 8U);
+ // multiplicity doesn't affect size
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
}
-BOOST_AUTO_TEST_CASE(addrman_find)
+BOOST_AUTO_TEST_CASE(addrman_tried_collisions)
{
- CAddrManTest addrman;
-
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
- CAddress addr1 = CAddress(ResolveService("250.1.2.1", 8333), NODE_NONE);
- CAddress addr2 = CAddress(ResolveService("250.1.2.1", 9999), NODE_NONE);
- CAddress addr3 = CAddress(ResolveService("251.255.2.1", 8333), NODE_NONE);
+ CNetAddr source = ResolveIP("252.2.2.2");
- CNetAddr source1 = ResolveIP("250.1.2.1");
- CNetAddr source2 = ResolveIP("250.1.2.2");
-
- BOOST_CHECK(addrman.Add(addr1, source1));
- BOOST_CHECK(!addrman.Add(addr2, source2));
- BOOST_CHECK(addrman.Add(addr3, source1));
-
- // Test: ensure Find returns an IP matching what we searched on.
- CAddrInfo* info1 = addrman.Find(addr1);
- BOOST_REQUIRE(info1);
- BOOST_CHECK_EQUAL(info1->ToString(), "250.1.2.1:8333");
-
- // Test 18; Find does not discriminate by port number.
- CAddrInfo* info2 = addrman.Find(addr2);
- BOOST_REQUIRE(info2);
- BOOST_CHECK_EQUAL(info2->ToString(), info1->ToString());
-
- // Test: Find returns another IP matching what we searched on.
- CAddrInfo* info3 = addrman.Find(addr3);
- BOOST_REQUIRE(info3);
- BOOST_CHECK_EQUAL(info3->ToString(), "251.255.2.1:8333");
-}
+ uint32_t num_addrs{0};
-BOOST_AUTO_TEST_CASE(addrman_create)
-{
- CAddrManTest addrman;
+ BOOST_CHECK_EQUAL(addrman->size(), num_addrs);
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
+ while (num_addrs < 35) { // Magic number! 250.1.1.1 - 250.1.1.35 do not collide in tried with deterministic key = 1
+ CService addr = ResolveService("250.1.1." + ToString(++num_addrs));
+ BOOST_CHECK(addrman->Add({CAddress(addr, NODE_NONE)}, source));
- CAddress addr1 = CAddress(ResolveService("250.1.2.1", 8333), NODE_NONE);
- CNetAddr source1 = ResolveIP("250.1.2.1");
+ // Test: Add to tried without collision
+ BOOST_CHECK(addrman->Good(CAddress(addr, NODE_NONE)));
- int nId;
- CAddrInfo* pinfo = addrman.Create(addr1, source1, &nId);
+ }
- // Test: The result should be the same as the input addr.
- BOOST_CHECK_EQUAL(pinfo->ToString(), "250.1.2.1:8333");
+ // Test: Unable to add to tried table due to collision!
+ CService addr1 = ResolveService("250.1.1." + ToString(++num_addrs));
+ BOOST_CHECK(addrman->Add({CAddress(addr1, NODE_NONE)}, source));
+ BOOST_CHECK(!addrman->Good(CAddress(addr1, NODE_NONE)));
- CAddrInfo* info2 = addrman.Find(addr1);
- BOOST_CHECK_EQUAL(info2->ToString(), "250.1.2.1:8333");
+ // Test: Add the next address to tried without collision
+ CService addr2 = ResolveService("250.1.1." + ToString(++num_addrs));
+ BOOST_CHECK(addrman->Add({CAddress(addr2, NODE_NONE)}, source));
+ BOOST_CHECK(addrman->Good(CAddress(addr2, NODE_NONE)));
}
-BOOST_AUTO_TEST_CASE(addrman_delete)
-{
- CAddrManTest addrman;
-
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
-
- CAddress addr1 = CAddress(ResolveService("250.1.2.1", 8333), NODE_NONE);
- CNetAddr source1 = ResolveIP("250.1.2.1");
-
- int nId;
- addrman.Create(addr1, source1, &nId);
-
- // Test: Delete should actually delete the addr.
- BOOST_CHECK_EQUAL(addrman.size(), 1U);
- addrman.Delete(nId);
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
- CAddrInfo* info2 = addrman.Find(addr1);
- BOOST_CHECK(info2 == nullptr);
-}
-
BOOST_AUTO_TEST_CASE(addrman_getaddr)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
// Test: Sanity check, GetAddr should never return anything if addrman
// is empty.
- BOOST_CHECK_EQUAL(addrman.size(), 0U);
- std::vector<CAddress> vAddr1 = addrman.GetAddr(/* max_addresses */ 0, /* max_pct */0);
+ BOOST_CHECK_EQUAL(addrman->size(), 0U);
+ std::vector<CAddress> vAddr1 = addrman->GetAddr(/*max_addresses=*/0, /*max_pct=*/0, /*network=*/std::nullopt);
BOOST_CHECK_EQUAL(vAddr1.size(), 0U);
CAddress addr1 = CAddress(ResolveService("250.250.2.1", 8333), NODE_NONE);
@@ -409,21 +308,18 @@ BOOST_AUTO_TEST_CASE(addrman_getaddr)
CNetAddr source2 = ResolveIP("250.2.3.3");
// Test: Ensure GetAddr works with new addresses.
- BOOST_CHECK(addrman.Add(addr1, source1));
- BOOST_CHECK(addrman.Add(addr2, source2));
- BOOST_CHECK(addrman.Add(addr3, source1));
- BOOST_CHECK(addrman.Add(addr4, source2));
- BOOST_CHECK(addrman.Add(addr5, source1));
+ BOOST_CHECK(addrman->Add({addr1, addr3, addr5}, source1));
+ BOOST_CHECK(addrman->Add({addr2, addr4}, source2));
- BOOST_CHECK_EQUAL(addrman.GetAddr(/* max_addresses */ 0, /* max_pct */ 0).size(), 5U);
+ BOOST_CHECK_EQUAL(addrman->GetAddr(/*max_addresses=*/0, /*max_pct=*/0, /*network=*/std::nullopt).size(), 5U);
// Net processing asks for 23% of addresses. 23% of 5 is 1 rounded down.
- BOOST_CHECK_EQUAL(addrman.GetAddr(/* max_addresses */ 2500, /* max_pct */ 23).size(), 1U);
+ BOOST_CHECK_EQUAL(addrman->GetAddr(/*max_addresses=*/2500, /*max_pct=*/23, /*network=*/std::nullopt).size(), 1U);
// Test: Ensure GetAddr works with new and tried addresses.
- addrman.Good(CAddress(addr1, NODE_NONE));
- addrman.Good(CAddress(addr2, NODE_NONE));
- BOOST_CHECK_EQUAL(addrman.GetAddr(/* max_addresses */ 0, /* max_pct */ 0).size(), 5U);
- BOOST_CHECK_EQUAL(addrman.GetAddr(/* max_addresses */ 2500, /* max_pct */ 23).size(), 1U);
+ BOOST_CHECK(addrman->Good(CAddress(addr1, NODE_NONE)));
+ BOOST_CHECK(addrman->Good(CAddress(addr2, NODE_NONE)));
+ BOOST_CHECK_EQUAL(addrman->GetAddr(/*max_addresses=*/0, /*max_pct=*/0, /*network=*/std::nullopt).size(), 5U);
+ BOOST_CHECK_EQUAL(addrman->GetAddr(/*max_addresses=*/2500, /*max_pct=*/23, /*network=*/std::nullopt).size(), 1U);
// Test: Ensure GetAddr still returns 23% when addrman has many addrs.
for (unsigned int i = 1; i < (8 * 256); i++) {
@@ -434,31 +330,29 @@ BOOST_AUTO_TEST_CASE(addrman_getaddr)
// Ensure that for all addrs in addrman, isTerrible == false.
addr.nTime = GetAdjustedTime();
- addrman.Add(addr, ResolveIP(strAddr));
+ addrman->Add({addr}, ResolveIP(strAddr));
if (i % 8 == 0)
- addrman.Good(addr);
+ addrman->Good(addr);
}
- std::vector<CAddress> vAddr = addrman.GetAddr(/* max_addresses */ 2500, /* max_pct */ 23);
+ std::vector<CAddress> vAddr = addrman->GetAddr(/*max_addresses=*/2500, /*max_pct=*/23, /*network=*/std::nullopt);
- size_t percent23 = (addrman.size() * 23) / 100;
+ size_t percent23 = (addrman->size() * 23) / 100;
BOOST_CHECK_EQUAL(vAddr.size(), percent23);
BOOST_CHECK_EQUAL(vAddr.size(), 461U);
// (Addrman.size() < number of addresses added) due to address collisions.
- BOOST_CHECK_EQUAL(addrman.size(), 2006U);
+ BOOST_CHECK_EQUAL(addrman->size(), 2006U);
}
BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket_legacy)
{
- CAddrManTest addrman;
-
CAddress addr1 = CAddress(ResolveService("250.1.1.1", 8333), NODE_NONE);
CAddress addr2 = CAddress(ResolveService("250.1.1.1", 9999), NODE_NONE);
CNetAddr source1 = ResolveIP("250.1.1.1");
- CAddrInfo info1 = CAddrInfo(addr1, source1);
+ AddrInfo info1 = AddrInfo(addr1, source1);
uint256 nKey1 = (uint256)(CHashWriter(SER_GETHASH, 0) << 1).GetHash();
uint256 nKey2 = (uint256)(CHashWriter(SER_GETHASH, 0) << 2).GetHash();
@@ -473,14 +367,14 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket_legacy)
// Test: Two addresses with same IP but different ports can map to
// different buckets because they have different keys.
- CAddrInfo info2 = CAddrInfo(addr2, source1);
+ AddrInfo info2 = AddrInfo(addr2, source1);
BOOST_CHECK(info1.GetKey() != info2.GetKey());
BOOST_CHECK(info1.GetTriedBucket(nKey1, asmap) != info2.GetTriedBucket(nKey1, asmap));
std::set<int> buckets;
for (int i = 0; i < 255; i++) {
- CAddrInfo infoi = CAddrInfo(
+ AddrInfo infoi = AddrInfo(
CAddress(ResolveService("250.1.1." + ToString(i)), NODE_NONE),
ResolveIP("250.1.1." + ToString(i)));
int bucket = infoi.GetTriedBucket(nKey1, asmap);
@@ -492,7 +386,7 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket_legacy)
buckets.clear();
for (int j = 0; j < 255; j++) {
- CAddrInfo infoj = CAddrInfo(
+ AddrInfo infoj = AddrInfo(
CAddress(ResolveService("250." + ToString(j) + ".1.1"), NODE_NONE),
ResolveIP("250." + ToString(j) + ".1.1"));
int bucket = infoj.GetTriedBucket(nKey1, asmap);
@@ -505,14 +399,12 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket_legacy)
BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket_legacy)
{
- CAddrManTest addrman;
-
CAddress addr1 = CAddress(ResolveService("250.1.2.1", 8333), NODE_NONE);
CAddress addr2 = CAddress(ResolveService("250.1.2.1", 9999), NODE_NONE);
CNetAddr source1 = ResolveIP("250.1.2.1");
- CAddrInfo info1 = CAddrInfo(addr1, source1);
+ AddrInfo info1 = AddrInfo(addr1, source1);
uint256 nKey1 = (uint256)(CHashWriter(SER_GETHASH, 0) << 1).GetHash();
uint256 nKey2 = (uint256)(CHashWriter(SER_GETHASH, 0) << 2).GetHash();
@@ -528,13 +420,13 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket_legacy)
BOOST_CHECK(info1.GetNewBucket(nKey1, asmap) != info1.GetNewBucket(nKey2, asmap));
// Test: Ports should not affect bucket placement in the addr
- CAddrInfo info2 = CAddrInfo(addr2, source1);
+ AddrInfo info2 = AddrInfo(addr2, source1);
BOOST_CHECK(info1.GetKey() != info2.GetKey());
BOOST_CHECK_EQUAL(info1.GetNewBucket(nKey1, asmap), info2.GetNewBucket(nKey1, asmap));
std::set<int> buckets;
for (int i = 0; i < 255; i++) {
- CAddrInfo infoi = CAddrInfo(
+ AddrInfo infoi = AddrInfo(
CAddress(ResolveService("250.1.1." + ToString(i)), NODE_NONE),
ResolveIP("250.1.1." + ToString(i)));
int bucket = infoi.GetNewBucket(nKey1, asmap);
@@ -546,7 +438,7 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket_legacy)
buckets.clear();
for (int j = 0; j < 4 * 255; j++) {
- CAddrInfo infoj = CAddrInfo(CAddress(
+ AddrInfo infoj = AddrInfo(CAddress(
ResolveService(
ToString(250 + (j / 255)) + "." + ToString(j % 256) + ".1.1"), NODE_NONE),
ResolveIP("251.4.1.1"));
@@ -559,7 +451,7 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket_legacy)
buckets.clear();
for (int p = 0; p < 255; p++) {
- CAddrInfo infoj = CAddrInfo(
+ AddrInfo infoj = AddrInfo(
CAddress(ResolveService("250.1.1.1"), NODE_NONE),
ResolveIP("250." + ToString(p) + ".1.1"));
int bucket = infoj.GetNewBucket(nKey1, asmap);
@@ -583,15 +475,13 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket_legacy)
// 101.8.0.0/16 AS8
BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket)
{
- CAddrManTest addrman;
-
CAddress addr1 = CAddress(ResolveService("250.1.1.1", 8333), NODE_NONE);
CAddress addr2 = CAddress(ResolveService("250.1.1.1", 9999), NODE_NONE);
CNetAddr source1 = ResolveIP("250.1.1.1");
- CAddrInfo info1 = CAddrInfo(addr1, source1);
+ AddrInfo info1 = AddrInfo(addr1, source1);
uint256 nKey1 = (uint256)(CHashWriter(SER_GETHASH, 0) << 1).GetHash();
uint256 nKey2 = (uint256)(CHashWriter(SER_GETHASH, 0) << 2).GetHash();
@@ -606,14 +496,14 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket)
// Test: Two addresses with same IP but different ports can map to
// different buckets because they have different keys.
- CAddrInfo info2 = CAddrInfo(addr2, source1);
+ AddrInfo info2 = AddrInfo(addr2, source1);
BOOST_CHECK(info1.GetKey() != info2.GetKey());
BOOST_CHECK(info1.GetTriedBucket(nKey1, asmap) != info2.GetTriedBucket(nKey1, asmap));
std::set<int> buckets;
for (int j = 0; j < 255; j++) {
- CAddrInfo infoj = CAddrInfo(
+ AddrInfo infoj = AddrInfo(
CAddress(ResolveService("101." + ToString(j) + ".1.1"), NODE_NONE),
ResolveIP("101." + ToString(j) + ".1.1"));
int bucket = infoj.GetTriedBucket(nKey1, asmap);
@@ -625,7 +515,7 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket)
buckets.clear();
for (int j = 0; j < 255; j++) {
- CAddrInfo infoj = CAddrInfo(
+ AddrInfo infoj = AddrInfo(
CAddress(ResolveService("250." + ToString(j) + ".1.1"), NODE_NONE),
ResolveIP("250." + ToString(j) + ".1.1"));
int bucket = infoj.GetTriedBucket(nKey1, asmap);
@@ -638,14 +528,12 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_tried_bucket)
BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket)
{
- CAddrManTest addrman;
-
CAddress addr1 = CAddress(ResolveService("250.1.2.1", 8333), NODE_NONE);
CAddress addr2 = CAddress(ResolveService("250.1.2.1", 9999), NODE_NONE);
CNetAddr source1 = ResolveIP("250.1.2.1");
- CAddrInfo info1 = CAddrInfo(addr1, source1);
+ AddrInfo info1 = AddrInfo(addr1, source1);
uint256 nKey1 = (uint256)(CHashWriter(SER_GETHASH, 0) << 1).GetHash();
uint256 nKey2 = (uint256)(CHashWriter(SER_GETHASH, 0) << 2).GetHash();
@@ -661,13 +549,13 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket)
BOOST_CHECK(info1.GetNewBucket(nKey1, asmap) != info1.GetNewBucket(nKey2, asmap));
// Test: Ports should not affect bucket placement in the addr
- CAddrInfo info2 = CAddrInfo(addr2, source1);
+ AddrInfo info2 = AddrInfo(addr2, source1);
BOOST_CHECK(info1.GetKey() != info2.GetKey());
BOOST_CHECK_EQUAL(info1.GetNewBucket(nKey1, asmap), info2.GetNewBucket(nKey1, asmap));
std::set<int> buckets;
for (int i = 0; i < 255; i++) {
- CAddrInfo infoi = CAddrInfo(
+ AddrInfo infoi = AddrInfo(
CAddress(ResolveService("250.1.1." + ToString(i)), NODE_NONE),
ResolveIP("250.1.1." + ToString(i)));
int bucket = infoi.GetNewBucket(nKey1, asmap);
@@ -679,7 +567,7 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket)
buckets.clear();
for (int j = 0; j < 4 * 255; j++) {
- CAddrInfo infoj = CAddrInfo(CAddress(
+ AddrInfo infoj = AddrInfo(CAddress(
ResolveService(
ToString(250 + (j / 255)) + "." + ToString(j % 256) + ".1.1"), NODE_NONE),
ResolveIP("251.4.1.1"));
@@ -692,7 +580,7 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket)
buckets.clear();
for (int p = 0; p < 255; p++) {
- CAddrInfo infoj = CAddrInfo(
+ AddrInfo infoj = AddrInfo(
CAddress(ResolveService("250.1.1.1"), NODE_NONE),
ResolveIP("101." + ToString(p) + ".1.1"));
int bucket = infoj.GetNewBucket(nKey1, asmap);
@@ -704,7 +592,7 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket)
buckets.clear();
for (int p = 0; p < 255; p++) {
- CAddrInfo infoj = CAddrInfo(
+ AddrInfo infoj = AddrInfo(
CAddress(ResolveService("250.1.1.1"), NODE_NONE),
ResolveIP("250." + ToString(p) + ".1.1"));
int bucket = infoj.GetNewBucket(nKey1, asmap);
@@ -713,217 +601,394 @@ BOOST_AUTO_TEST_CASE(caddrinfo_get_new_bucket)
// Test: IP addresses in the different source /16 prefixes sometimes map to NO MORE
// than 1 bucket.
BOOST_CHECK(buckets.size() == 1);
-
}
BOOST_AUTO_TEST_CASE(addrman_serialization)
{
std::vector<bool> asmap1 = FromBytes(asmap_raw, sizeof(asmap_raw) * 8);
- CAddrManTest addrman_asmap1(true, asmap1);
- CAddrManTest addrman_asmap1_dup(true, asmap1);
- CAddrManTest addrman_noasmap;
+ const auto ratio = GetCheckRatio(m_node);
+ auto addrman_asmap1 = std::make_unique<AddrMan>(asmap1, DETERMINISTIC, ratio);
+ auto addrman_asmap1_dup = std::make_unique<AddrMan>(asmap1, DETERMINISTIC, ratio);
+ auto addrman_noasmap = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, ratio);
+
CDataStream stream(SER_NETWORK, PROTOCOL_VERSION);
CAddress addr = CAddress(ResolveService("250.1.1.1"), NODE_NONE);
CNetAddr default_source;
+ addrman_asmap1->Add({addr}, default_source);
- addrman_asmap1.Add(addr, default_source);
-
- stream << addrman_asmap1;
+ stream << *addrman_asmap1;
// serizalizing/deserializing addrman with the same asmap
- stream >> addrman_asmap1_dup;
+ stream >> *addrman_asmap1_dup;
- std::pair<int, int> bucketAndEntry_asmap1 = addrman_asmap1.GetBucketAndEntry(addr);
- std::pair<int, int> bucketAndEntry_asmap1_dup = addrman_asmap1_dup.GetBucketAndEntry(addr);
- BOOST_CHECK(bucketAndEntry_asmap1.second != -1);
- BOOST_CHECK(bucketAndEntry_asmap1_dup.second != -1);
+ AddressPosition addr_pos1 = addrman_asmap1->FindAddressEntry(addr).value();
+ AddressPosition addr_pos2 = addrman_asmap1_dup->FindAddressEntry(addr).value();
+ BOOST_CHECK(addr_pos1.multiplicity != 0);
+ BOOST_CHECK(addr_pos2.multiplicity != 0);
- BOOST_CHECK(bucketAndEntry_asmap1.first == bucketAndEntry_asmap1_dup.first);
- BOOST_CHECK(bucketAndEntry_asmap1.second == bucketAndEntry_asmap1_dup.second);
+ BOOST_CHECK(addr_pos1 == addr_pos2);
// deserializing asmaped peers.dat to non-asmaped addrman
- stream << addrman_asmap1;
- stream >> addrman_noasmap;
- std::pair<int, int> bucketAndEntry_noasmap = addrman_noasmap.GetBucketAndEntry(addr);
- BOOST_CHECK(bucketAndEntry_noasmap.second != -1);
- BOOST_CHECK(bucketAndEntry_asmap1.first != bucketAndEntry_noasmap.first);
- BOOST_CHECK(bucketAndEntry_asmap1.second != bucketAndEntry_noasmap.second);
+ stream << *addrman_asmap1;
+ stream >> *addrman_noasmap;
+ AddressPosition addr_pos3 = addrman_noasmap->FindAddressEntry(addr).value();
+ BOOST_CHECK(addr_pos3.multiplicity != 0);
+ BOOST_CHECK(addr_pos1.bucket != addr_pos3.bucket);
+ BOOST_CHECK(addr_pos1.position != addr_pos3.position);
// deserializing non-asmaped peers.dat to asmaped addrman
- addrman_asmap1.Clear();
- addrman_noasmap.Clear();
- addrman_noasmap.Add(addr, default_source);
- stream << addrman_noasmap;
- stream >> addrman_asmap1;
- std::pair<int, int> bucketAndEntry_asmap1_deser = addrman_asmap1.GetBucketAndEntry(addr);
- BOOST_CHECK(bucketAndEntry_asmap1_deser.second != -1);
- BOOST_CHECK(bucketAndEntry_asmap1_deser.first != bucketAndEntry_noasmap.first);
- BOOST_CHECK(bucketAndEntry_asmap1_deser.first == bucketAndEntry_asmap1_dup.first);
- BOOST_CHECK(bucketAndEntry_asmap1_deser.second == bucketAndEntry_asmap1_dup.second);
+ addrman_asmap1 = std::make_unique<AddrMan>(asmap1, DETERMINISTIC, ratio);
+ addrman_noasmap = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, ratio);
+ addrman_noasmap->Add({addr}, default_source);
+ stream << *addrman_noasmap;
+ stream >> *addrman_asmap1;
+
+ AddressPosition addr_pos4 = addrman_asmap1->FindAddressEntry(addr).value();
+ BOOST_CHECK(addr_pos4.multiplicity != 0);
+ BOOST_CHECK(addr_pos4.bucket != addr_pos3.bucket);
+ BOOST_CHECK(addr_pos4 == addr_pos2);
// used to map to different buckets, now maps to the same bucket.
- addrman_asmap1.Clear();
- addrman_noasmap.Clear();
+ addrman_asmap1 = std::make_unique<AddrMan>(asmap1, DETERMINISTIC, ratio);
+ addrman_noasmap = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, ratio);
CAddress addr1 = CAddress(ResolveService("250.1.1.1"), NODE_NONE);
CAddress addr2 = CAddress(ResolveService("250.2.1.1"), NODE_NONE);
- addrman_noasmap.Add(addr, default_source);
- addrman_noasmap.Add(addr2, default_source);
- std::pair<int, int> bucketAndEntry_noasmap_addr1 = addrman_noasmap.GetBucketAndEntry(addr1);
- std::pair<int, int> bucketAndEntry_noasmap_addr2 = addrman_noasmap.GetBucketAndEntry(addr2);
- BOOST_CHECK(bucketAndEntry_noasmap_addr1.first != bucketAndEntry_noasmap_addr2.first);
- BOOST_CHECK(bucketAndEntry_noasmap_addr1.second != bucketAndEntry_noasmap_addr2.second);
- stream << addrman_noasmap;
- stream >> addrman_asmap1;
- std::pair<int, int> bucketAndEntry_asmap1_deser_addr1 = addrman_asmap1.GetBucketAndEntry(addr1);
- std::pair<int, int> bucketAndEntry_asmap1_deser_addr2 = addrman_asmap1.GetBucketAndEntry(addr2);
- BOOST_CHECK(bucketAndEntry_asmap1_deser_addr1.first == bucketAndEntry_asmap1_deser_addr2.first);
- BOOST_CHECK(bucketAndEntry_asmap1_deser_addr1.second != bucketAndEntry_asmap1_deser_addr2.second);
+ addrman_noasmap->Add({addr, addr2}, default_source);
+ AddressPosition addr_pos5 = addrman_noasmap->FindAddressEntry(addr1).value();
+ AddressPosition addr_pos6 = addrman_noasmap->FindAddressEntry(addr2).value();
+ BOOST_CHECK(addr_pos5.bucket != addr_pos6.bucket);
+ stream << *addrman_noasmap;
+ stream >> *addrman_asmap1;
+ AddressPosition addr_pos7 = addrman_asmap1->FindAddressEntry(addr1).value();
+ AddressPosition addr_pos8 = addrman_asmap1->FindAddressEntry(addr2).value();
+ BOOST_CHECK(addr_pos7.bucket == addr_pos8.bucket);
+ BOOST_CHECK(addr_pos7.position != addr_pos8.position);
}
+BOOST_AUTO_TEST_CASE(remove_invalid)
+{
+ // Confirm that invalid addresses are ignored in unserialization.
+
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
+ CDataStream stream(SER_NETWORK, PROTOCOL_VERSION);
+
+ const CAddress new1{ResolveService("5.5.5.5"), NODE_NONE};
+ const CAddress new2{ResolveService("6.6.6.6"), NODE_NONE};
+ const CAddress tried1{ResolveService("7.7.7.7"), NODE_NONE};
+ const CAddress tried2{ResolveService("8.8.8.8"), NODE_NONE};
+
+ addrman->Add({new1, tried1, new2, tried2}, CNetAddr{});
+ addrman->Good(tried1);
+ addrman->Good(tried2);
+ BOOST_REQUIRE_EQUAL(addrman->size(), 4);
+
+ stream << *addrman;
+
+ const std::string str{stream.str()};
+ size_t pos;
+
+ const char new2_raw[]{6, 6, 6, 6};
+ const uint8_t new2_raw_replacement[]{0, 0, 0, 0}; // 0.0.0.0 is !IsValid()
+ pos = str.find(new2_raw, 0, sizeof(new2_raw));
+ BOOST_REQUIRE(pos != std::string::npos);
+ BOOST_REQUIRE(pos + sizeof(new2_raw_replacement) <= stream.size());
+ memcpy(stream.data() + pos, new2_raw_replacement, sizeof(new2_raw_replacement));
+
+ const char tried2_raw[]{8, 8, 8, 8};
+ const uint8_t tried2_raw_replacement[]{255, 255, 255, 255}; // 255.255.255.255 is !IsValid()
+ pos = str.find(tried2_raw, 0, sizeof(tried2_raw));
+ BOOST_REQUIRE(pos != std::string::npos);
+ BOOST_REQUIRE(pos + sizeof(tried2_raw_replacement) <= stream.size());
+ memcpy(stream.data() + pos, tried2_raw_replacement, sizeof(tried2_raw_replacement));
+
+ addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
+ stream >> *addrman;
+ BOOST_CHECK_EQUAL(addrman->size(), 2);
+}
BOOST_AUTO_TEST_CASE(addrman_selecttriedcollision)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
- BOOST_CHECK(addrman.size() == 0);
+ BOOST_CHECK(addrman->size() == 0);
// Empty addrman should return blank addrman info.
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
// Add twenty two addresses.
CNetAddr source = ResolveIP("252.2.2.2");
for (unsigned int i = 1; i < 23; i++) {
- CService addr = ResolveService("250.1.1."+ToString(i));
- BOOST_CHECK(addrman.Add(CAddress(addr, NODE_NONE), source));
- addrman.Good(addr);
+ CService addr = ResolveService("250.1.1." + ToString(i));
+ BOOST_CHECK(addrman->Add({CAddress(addr, NODE_NONE)}, source));
- // No collisions yet.
- BOOST_CHECK(addrman.size() == i);
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ // No collisions in tried.
+ BOOST_CHECK(addrman->Good(addr));
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
}
// Ensure Good handles duplicates well.
+ // If an address is a duplicate, Good will return false but will not count it as a collision.
for (unsigned int i = 1; i < 23; i++) {
- CService addr = ResolveService("250.1.1."+ToString(i));
- addrman.Good(addr);
+ CService addr = ResolveService("250.1.1." + ToString(i));
- BOOST_CHECK(addrman.size() == 22);
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
- }
+ // Unable to add duplicate address to tried table.
+ BOOST_CHECK(!addrman->Good(addr));
+ // Verify duplicate address not marked as a collision.
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
+ }
}
BOOST_AUTO_TEST_CASE(addrman_noevict)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
- // Add twenty two addresses.
+ // Add 35 addresses.
CNetAddr source = ResolveIP("252.2.2.2");
- for (unsigned int i = 1; i < 23; i++) {
- CService addr = ResolveService("250.1.1."+ToString(i));
- BOOST_CHECK(addrman.Add(CAddress(addr, NODE_NONE), source));
- addrman.Good(addr);
+ for (unsigned int i = 1; i < 36; i++) {
+ CService addr = ResolveService("250.1.1." + ToString(i));
+ BOOST_CHECK(addrman->Add({CAddress(addr, NODE_NONE)}, source));
// No collision yet.
- BOOST_CHECK(addrman.size() == i);
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ BOOST_CHECK(addrman->Good(addr));
}
- // Collision between 23 and 19.
- CService addr23 = ResolveService("250.1.1.23");
- BOOST_CHECK(addrman.Add(CAddress(addr23, NODE_NONE), source));
- addrman.Good(addr23);
-
- BOOST_CHECK(addrman.size() == 23);
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "250.1.1.19:0");
+ // Collision in tried table between 36 and 19.
+ CService addr36 = ResolveService("250.1.1.36");
+ BOOST_CHECK(addrman->Add({CAddress(addr36, NODE_NONE)}, source));
+ BOOST_CHECK(!addrman->Good(addr36));
+ BOOST_CHECK_EQUAL(addrman->SelectTriedCollision().first.ToString(), "250.1.1.19:0");
- // 23 should be discarded and 19 not evicted.
- addrman.ResolveCollisions();
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ // 36 should be discarded and 19 not evicted.
+ // This means we keep 19 in the tried table and
+ // 36 stays in the new table.
+ addrman->ResolveCollisions();
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
// Lets create two collisions.
- for (unsigned int i = 24; i < 33; i++) {
- CService addr = ResolveService("250.1.1."+ToString(i));
- BOOST_CHECK(addrman.Add(CAddress(addr, NODE_NONE), source));
- addrman.Good(addr);
-
- BOOST_CHECK(addrman.size() == i);
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ for (unsigned int i = 37; i < 59; i++) {
+ CService addr = ResolveService("250.1.1." + ToString(i));
+ BOOST_CHECK(addrman->Add({CAddress(addr, NODE_NONE)}, source));
+ BOOST_CHECK(addrman->Good(addr));
}
- // Cause a collision.
- CService addr33 = ResolveService("250.1.1.33");
- BOOST_CHECK(addrman.Add(CAddress(addr33, NODE_NONE), source));
- addrman.Good(addr33);
- BOOST_CHECK(addrman.size() == 33);
+ // Cause a collision in the tried table.
+ CService addr59 = ResolveService("250.1.1.59");
+ BOOST_CHECK(addrman->Add({CAddress(addr59, NODE_NONE)}, source));
+ BOOST_CHECK(!addrman->Good(addr59));
+
+ BOOST_CHECK_EQUAL(addrman->SelectTriedCollision().first.ToString(), "250.1.1.10:0");
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "250.1.1.27:0");
+ // Cause a second collision in the new table.
+ BOOST_CHECK(!addrman->Add({CAddress(addr36, NODE_NONE)}, source));
- // Cause a second collision.
- BOOST_CHECK(!addrman.Add(CAddress(addr23, NODE_NONE), source));
- addrman.Good(addr23);
- BOOST_CHECK(addrman.size() == 33);
+ // 36 still cannot be moved from new to tried due to colliding with 19
+ BOOST_CHECK(!addrman->Good(addr36));
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() != "[::]:0");
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() != "[::]:0");
- addrman.ResolveCollisions();
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ // Resolve all collisions.
+ addrman->ResolveCollisions();
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
}
BOOST_AUTO_TEST_CASE(addrman_evictionworks)
{
- CAddrManTest addrman;
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
- BOOST_CHECK(addrman.size() == 0);
+ BOOST_CHECK(addrman->size() == 0);
// Empty addrman should return blank addrman info.
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
- // Add twenty two addresses.
+ // Add 35 addresses
CNetAddr source = ResolveIP("252.2.2.2");
- for (unsigned int i = 1; i < 23; i++) {
- CService addr = ResolveService("250.1.1."+ToString(i));
- BOOST_CHECK(addrman.Add(CAddress(addr, NODE_NONE), source));
- addrman.Good(addr);
+ for (unsigned int i = 1; i < 36; i++) {
+ CService addr = ResolveService("250.1.1." + ToString(i));
+ BOOST_CHECK(addrman->Add({CAddress(addr, NODE_NONE)}, source));
// No collision yet.
- BOOST_CHECK(addrman.size() == i);
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ BOOST_CHECK(addrman->Good(addr));
}
- // Collision between 23 and 19.
- CService addr = ResolveService("250.1.1.23");
- BOOST_CHECK(addrman.Add(CAddress(addr, NODE_NONE), source));
- addrman.Good(addr);
+ // Collision between 36 and 19.
+ CService addr = ResolveService("250.1.1.36");
+ BOOST_CHECK(addrman->Add({CAddress(addr, NODE_NONE)}, source));
+ BOOST_CHECK(!addrman->Good(addr));
- BOOST_CHECK(addrman.size() == 23);
- CAddrInfo info = addrman.SelectTriedCollision();
- BOOST_CHECK(info.ToString() == "250.1.1.19:0");
+ auto info = addrman->SelectTriedCollision().first;
+ BOOST_CHECK_EQUAL(info.ToString(), "250.1.1.19:0");
// Ensure test of address fails, so that it is evicted.
- addrman.SimConnFail(info);
+ // Update entry in tried by setting last good connection in the deep past.
+ BOOST_CHECK(!addrman->Good(info, /*nTime=*/1));
+ addrman->Attempt(info, /*fCountFailure=*/false, /*nTime=*/GetAdjustedTime() - 61);
+
+ // Should swap 36 for 19.
+ addrman->ResolveCollisions();
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
+ AddressPosition addr_pos{addrman->FindAddressEntry(CAddress(addr, NODE_NONE)).value()};
+ BOOST_CHECK(addr_pos.tried);
+
+ // If 36 was swapped for 19, then adding 36 to tried should fail because we
+ // are attempting to add a duplicate.
+ // We check this by verifying Good() returns false and also verifying that
+ // we have no collisions.
+ BOOST_CHECK(!addrman->Good(addr));
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
+
+ // 19 should fail as a collision (not a duplicate) if we now attempt to move
+ // it to the tried table.
+ CService addr19 = ResolveService("250.1.1.19");
+ BOOST_CHECK(!addrman->Good(addr19));
+ BOOST_CHECK_EQUAL(addrman->SelectTriedCollision().first.ToString(), "250.1.1.36:0");
+
+ // Eviction is also successful if too much time has passed since last try
+ SetMockTime(GetTime() + 4 * 60 *60);
+ addrman->ResolveCollisions();
+ BOOST_CHECK(addrman->SelectTriedCollision().first.ToString() == "[::]:0");
+ //Now 19 is in tried again, and 36 back to new
+ AddressPosition addr_pos19{addrman->FindAddressEntry(CAddress(addr19, NODE_NONE)).value()};
+ BOOST_CHECK(addr_pos19.tried);
+ AddressPosition addr_pos36{addrman->FindAddressEntry(CAddress(addr, NODE_NONE)).value()};
+ BOOST_CHECK(!addr_pos36.tried);
+}
+
+static CDataStream AddrmanToStream(const AddrMan& addrman)
+{
+ CDataStream ssPeersIn(SER_DISK, CLIENT_VERSION);
+ ssPeersIn << Params().MessageStart();
+ ssPeersIn << addrman;
+ return ssPeersIn;
+}
- // Should swap 23 for 19.
- addrman.ResolveCollisions();
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+BOOST_AUTO_TEST_CASE(load_addrman)
+{
+ AddrMan addrman{EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node)};
- // If 23 was swapped for 19, then this should cause no collisions.
- BOOST_CHECK(!addrman.Add(CAddress(addr, NODE_NONE), source));
- addrman.Good(addr);
+ CService addr1, addr2, addr3;
+ BOOST_CHECK(Lookup("250.7.1.1", addr1, 8333, false));
+ BOOST_CHECK(Lookup("250.7.2.2", addr2, 9999, false));
+ BOOST_CHECK(Lookup("250.7.3.3", addr3, 9999, false));
+ BOOST_CHECK(Lookup("250.7.3.3"s, addr3, 9999, false));
+ BOOST_CHECK(!Lookup("250.7.3.3\0example.com"s, addr3, 9999, false));
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ // Add three addresses to new table.
+ CService source;
+ BOOST_CHECK(Lookup("252.5.1.1", source, 8333, false));
+ std::vector<CAddress> addresses{CAddress(addr1, NODE_NONE), CAddress(addr2, NODE_NONE), CAddress(addr3, NODE_NONE)};
+ BOOST_CHECK(addrman.Add(addresses, source));
+ BOOST_CHECK(addrman.size() == 3);
+
+ // Test that the de-serialization does not throw an exception.
+ CDataStream ssPeers1 = AddrmanToStream(addrman);
+ bool exceptionThrown = false;
+ AddrMan addrman1{EMPTY_ASMAP, !DETERMINISTIC, GetCheckRatio(m_node)};
+
+ BOOST_CHECK(addrman1.size() == 0);
+ try {
+ unsigned char pchMsgTmp[4];
+ ssPeers1 >> pchMsgTmp;
+ ssPeers1 >> addrman1;
+ } catch (const std::exception&) {
+ exceptionThrown = true;
+ }
- // If we insert 19 is should collide with 23.
- CService addr19 = ResolveService("250.1.1.19");
- BOOST_CHECK(!addrman.Add(CAddress(addr19, NODE_NONE), source));
- addrman.Good(addr19);
+ BOOST_CHECK(addrman1.size() == 3);
+ BOOST_CHECK(exceptionThrown == false);
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "250.1.1.23:0");
+ // Test that ReadFromStream creates an addrman with the correct number of addrs.
+ CDataStream ssPeers2 = AddrmanToStream(addrman);
- addrman.ResolveCollisions();
- BOOST_CHECK(addrman.SelectTriedCollision().ToString() == "[::]:0");
+ AddrMan addrman2{EMPTY_ASMAP, !DETERMINISTIC, GetCheckRatio(m_node)};
+ BOOST_CHECK(addrman2.size() == 0);
+ ReadFromStream(addrman2, ssPeers2);
+ BOOST_CHECK(addrman2.size() == 3);
}
+// Produce a corrupt peers.dat that claims 20 addrs when it only has one addr.
+static CDataStream MakeCorruptPeersDat()
+{
+ CDataStream s(SER_DISK, CLIENT_VERSION);
+ s << ::Params().MessageStart();
+
+ unsigned char nVersion = 1;
+ s << nVersion;
+ s << ((unsigned char)32);
+ s << uint256::ONE;
+ s << 10; // nNew
+ s << 10; // nTried
+
+ int nUBuckets = ADDRMAN_NEW_BUCKET_COUNT ^ (1 << 30);
+ s << nUBuckets;
+
+ CService serv;
+ BOOST_CHECK(Lookup("252.1.1.1", serv, 7777, false));
+ CAddress addr = CAddress(serv, NODE_NONE);
+ CNetAddr resolved;
+ BOOST_CHECK(LookupHost("252.2.2.2", resolved, false));
+ AddrInfo info = AddrInfo(addr, resolved);
+ s << info;
+
+ return s;
+}
+
+BOOST_AUTO_TEST_CASE(load_addrman_corrupted)
+{
+ // Test that the de-serialization of corrupted peers.dat throws an exception.
+ CDataStream ssPeers1 = MakeCorruptPeersDat();
+ bool exceptionThrown = false;
+ AddrMan addrman1{EMPTY_ASMAP, !DETERMINISTIC, GetCheckRatio(m_node)};
+ BOOST_CHECK(addrman1.size() == 0);
+ try {
+ unsigned char pchMsgTmp[4];
+ ssPeers1 >> pchMsgTmp;
+ ssPeers1 >> addrman1;
+ } catch (const std::exception&) {
+ exceptionThrown = true;
+ }
+ // Even though de-serialization failed addrman is not left in a clean state.
+ BOOST_CHECK(addrman1.size() == 1);
+ BOOST_CHECK(exceptionThrown);
+
+ // Test that ReadFromStream fails if peers.dat is corrupt
+ CDataStream ssPeers2 = MakeCorruptPeersDat();
+
+ AddrMan addrman2{EMPTY_ASMAP, !DETERMINISTIC, GetCheckRatio(m_node)};
+ BOOST_CHECK(addrman2.size() == 0);
+ BOOST_CHECK_THROW(ReadFromStream(addrman2, ssPeers2), std::ios_base::failure);
+}
+
+BOOST_AUTO_TEST_CASE(addrman_update_address)
+{
+ // Tests updating nTime via Connected() and nServices via SetServices()
+ auto addrman = std::make_unique<AddrMan>(EMPTY_ASMAP, DETERMINISTIC, GetCheckRatio(m_node));
+ CNetAddr source{ResolveIP("252.2.2.2")};
+ CAddress addr{CAddress(ResolveService("250.1.1.1", 8333), NODE_NONE)};
+
+ int64_t start_time{GetAdjustedTime() - 10000};
+ addr.nTime = start_time;
+ BOOST_CHECK(addrman->Add({addr}, source));
+ BOOST_CHECK_EQUAL(addrman->size(), 1U);
+
+ // Updating an addrman entry with a different port doesn't change it
+ CAddress addr_diff_port{CAddress(ResolveService("250.1.1.1", 8334), NODE_NONE)};
+ addr_diff_port.nTime = start_time;
+ addrman->Connected(addr_diff_port);
+ addrman->SetServices(addr_diff_port, NODE_NETWORK_LIMITED);
+ std::vector<CAddress> vAddr1{addrman->GetAddr(/*max_addresses=*/0, /*max_pct=*/0, /*network=*/std::nullopt)};
+ BOOST_CHECK_EQUAL(vAddr1.size(), 1U);
+ BOOST_CHECK_EQUAL(vAddr1.at(0).nTime, start_time);
+ BOOST_CHECK_EQUAL(vAddr1.at(0).nServices, NODE_NONE);
+
+ // Updating an addrman entry with the correct port is successful
+ addrman->Connected(addr);
+ addrman->SetServices(addr, NODE_NETWORK_LIMITED);
+ std::vector<CAddress> vAddr2 = addrman->GetAddr(/*max_addresses=*/0, /*max_pct=*/0, /*network=*/std::nullopt);
+ BOOST_CHECK_EQUAL(vAddr2.size(), 1U);
+ BOOST_CHECK(vAddr2.at(0).nTime >= start_time + 10000);
+ BOOST_CHECK_EQUAL(vAddr2.at(0).nServices, NODE_NETWORK_LIMITED);
+}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/allocator_tests.cpp b/src/test/allocator_tests.cpp
index d33d668a04..715ce0a5b4 100644
--- a/src/test/allocator_tests.cpp
+++ b/src/test/allocator_tests.cpp
@@ -1,17 +1,19 @@
-// Copyright (c) 2012-2019 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <util/memory.h>
+#include <support/lockedpool.h>
#include <util/system.h>
-#include <test/util/setup_common.h>
-
+#include <limits>
#include <memory>
+#include <stdexcept>
+#include <utility>
+#include <vector>
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(allocator_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(allocator_tests)
BOOST_AUTO_TEST_CASE(arena_tests)
{
@@ -163,7 +165,7 @@ private:
BOOST_AUTO_TEST_CASE(lockedpool_tests_mock)
{
// Test over three virtual arenas, of which one will succeed being locked
- std::unique_ptr<LockedPageAllocator> x = MakeUnique<TestLockedPageAllocator>(3, 1);
+ std::unique_ptr<LockedPageAllocator> x = std::make_unique<TestLockedPageAllocator>(3, 1);
LockedPool pool(std::move(x));
BOOST_CHECK(pool.stats().total == 0);
BOOST_CHECK(pool.stats().locked == 0);
diff --git a/src/test/amount_tests.cpp b/src/test/amount_tests.cpp
index 1a39498899..3815a5bba6 100644
--- a/src/test/amount_tests.cpp
+++ b/src/test/amount_tests.cpp
@@ -1,14 +1,15 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
+#include <consensus/amount.h>
#include <policy/feerate.h>
-#include <test/util/setup_common.h>
+
+#include <limits>
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(amount_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(amount_tests)
BOOST_AUTO_TEST_CASE(MoneyRangeTest)
{
@@ -47,13 +48,13 @@ BOOST_AUTO_TEST_CASE(GetFeeTest)
BOOST_CHECK_EQUAL(feeRate.GetFee(9e3), CAmount(-9e3));
feeRate = CFeeRate(123);
- // Truncates the result, if not integer
+ // Rounds up the result, if not integer
BOOST_CHECK_EQUAL(feeRate.GetFee(0), CAmount(0));
BOOST_CHECK_EQUAL(feeRate.GetFee(8), CAmount(1)); // Special case: returns 1 instead of 0
- BOOST_CHECK_EQUAL(feeRate.GetFee(9), CAmount(1));
- BOOST_CHECK_EQUAL(feeRate.GetFee(121), CAmount(14));
- BOOST_CHECK_EQUAL(feeRate.GetFee(122), CAmount(15));
- BOOST_CHECK_EQUAL(feeRate.GetFee(999), CAmount(122));
+ BOOST_CHECK_EQUAL(feeRate.GetFee(9), CAmount(2));
+ BOOST_CHECK_EQUAL(feeRate.GetFee(121), CAmount(15));
+ BOOST_CHECK_EQUAL(feeRate.GetFee(122), CAmount(16));
+ BOOST_CHECK_EQUAL(feeRate.GetFee(999), CAmount(123));
BOOST_CHECK_EQUAL(feeRate.GetFee(1e3), CAmount(123));
BOOST_CHECK_EQUAL(feeRate.GetFee(9e3), CAmount(1107));
@@ -83,7 +84,7 @@ BOOST_AUTO_TEST_CASE(GetFeeTest)
BOOST_CHECK(CFeeRate(CAmount(26), 789) == CFeeRate(32));
BOOST_CHECK(CFeeRate(CAmount(27), 789) == CFeeRate(34));
// Maximum size in bytes, should not crash
- CFeeRate(MAX_MONEY, std::numeric_limits<size_t>::max() >> 1).GetFeePerK();
+ CFeeRate(MAX_MONEY, std::numeric_limits<uint32_t>::max()).GetFeePerK();
}
BOOST_AUTO_TEST_CASE(BinaryOperatorTest)
diff --git a/src/test/arith_uint256_tests.cpp b/src/test/arith_uint256_tests.cpp
index a135c93786..a923d38467 100644
--- a/src/test/arith_uint256_tests.cpp
+++ b/src/test/arith_uint256_tests.cpp
@@ -1,21 +1,21 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <arith_uint256.h>
-#include <test/util/setup_common.h>
#include <uint256.h>
#include <boost/test/unit_test.hpp>
#include <cmath>
+#include <cstdint>
#include <iomanip>
#include <limits>
#include <sstream>
-#include <stdint.h>
#include <string>
+#include <vector>
-BOOST_FIXTURE_TEST_SUITE(arith_uint256_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(arith_uint256_tests)
/// Convert vector to arith_uint256, via uint256 blob
static inline arith_uint256 arith_uint256V(const std::vector<unsigned char>& vch)
@@ -129,11 +129,11 @@ static void shiftArrayRight(unsigned char* to, const unsigned char* from, unsign
{
unsigned int F = (T+bitsToShift/8);
if (F < arrayLength)
- to[T] = from[F] >> (bitsToShift%8);
+ to[T] = uint8_t(from[F] >> (bitsToShift % 8));
else
to[T] = 0;
if (F + 1 < arrayLength)
- to[T] |= from[(F+1)] << (8-bitsToShift%8);
+ to[T] |= uint8_t(from[(F + 1)] << (8 - bitsToShift % 8));
}
}
@@ -144,9 +144,9 @@ static void shiftArrayLeft(unsigned char* to, const unsigned char* from, unsigne
if (T >= bitsToShift/8)
{
unsigned int F = T-bitsToShift/8;
- to[T] = from[F] << (bitsToShift%8);
+ to[T] = uint8_t(from[F] << (bitsToShift % 8));
if (T >= bitsToShift/8+1)
- to[T] |= from[F-1] >> (8-bitsToShift%8);
+ to[T] |= uint8_t(from[F - 1] >> (8 - bitsToShift % 8));
}
else {
to[T] = 0;
@@ -202,7 +202,7 @@ BOOST_AUTO_TEST_CASE( unaryOperators ) // ! ~ -
BOOST_CHECK(~ZeroL == MaxL);
unsigned char TmpArray[32];
- for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = ~R1Array[i]; }
+ for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = uint8_t(~R1Array[i]); }
BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (~R1L));
BOOST_CHECK(-ZeroL == ZeroL);
@@ -215,7 +215,7 @@ BOOST_AUTO_TEST_CASE( unaryOperators ) // ! ~ -
// Check if doing _A_ _OP_ _B_ results in the same as applying _OP_ onto each
// element of Aarray and Barray, and then converting the result into an arith_uint256.
#define CHECKBITWISEOPERATOR(_A_,_B_,_OP_) \
- for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = _A_##Array[i] _OP_ _B_##Array[i]; } \
+ for (unsigned int i = 0; i < 32; ++i) { TmpArray[i] = uint8_t(_A_##Array[i] _OP_ _B_##Array[i]); } \
BOOST_CHECK(arith_uint256V(std::vector<unsigned char>(TmpArray,TmpArray+32)) == (_A_##L _OP_ _B_##L));
#define CHECKASSIGNMENTOPERATOR(_A_,_B_,_OP_) \
diff --git a/src/test/banman_tests.cpp b/src/test/banman_tests.cpp
new file mode 100644
index 0000000000..27ce9ad638
--- /dev/null
+++ b/src/test/banman_tests.cpp
@@ -0,0 +1,43 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <banman.h>
+#include <chainparams.h>
+#include <netbase.h>
+#include <streams.h>
+#include <test/util/logging.h>
+#include <test/util/setup_common.h>
+#include <util/readwritefile.h>
+
+
+#include <boost/test/unit_test.hpp>
+
+BOOST_FIXTURE_TEST_SUITE(banman_tests, BasicTestingSetup)
+
+BOOST_AUTO_TEST_CASE(file)
+{
+ SetMockTime(777s);
+ const fs::path banlist_path{m_args.GetDataDirBase() / "banlist_test"};
+ {
+ const std::string entries_write{
+ "{ \"banned_nets\": ["
+ " { \"version\": 1, \"ban_created\": 0, \"banned_until\": 778, \"address\": \"aaaaaaaaa\" },"
+ " { \"version\": 2, \"ban_created\": 0, \"banned_until\": 778, \"address\": \"bbbbbbbbb\" },"
+ " { \"version\": 1, \"ban_created\": 0, \"banned_until\": 778, \"address\": \"1.0.0.0/8\" }"
+ "] }",
+ };
+ assert(WriteBinaryFile(banlist_path + ".json", entries_write));
+ {
+ // The invalid entries will be dropped, but the valid one remains
+ ASSERT_DEBUG_LOG("Dropping entry with unparseable address or subnet (aaaaaaaaa) from ban list");
+ ASSERT_DEBUG_LOG("Dropping entry with unknown version (2) from ban list");
+ BanMan banman{banlist_path, /*client_interface=*/nullptr, /*default_ban_time=*/0};
+ banmap_t entries_read;
+ banman.GetBanned(entries_read);
+ assert(entries_read.size() == 1);
+ }
+ }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/base32_tests.cpp b/src/test/base32_tests.cpp
index 3b44564ddb..5fab7f0d1e 100644
--- a/src/test/base32_tests.cpp
+++ b/src/test/base32_tests.cpp
@@ -1,8 +1,7 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <test/util/setup_common.h>
#include <util/strencodings.h>
#include <boost/test/unit_test.hpp>
@@ -10,7 +9,7 @@
using namespace std::literals;
-BOOST_FIXTURE_TEST_SUITE(base32_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(base32_tests)
BOOST_AUTO_TEST_CASE(base32_testvectors)
{
diff --git a/src/test/base58_tests.cpp b/src/test/base58_tests.cpp
index dd760fe999..00f32ddcee 100644
--- a/src/test/base58_tests.cpp
+++ b/src/test/base58_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -16,7 +16,7 @@
using namespace std::literals;
-extern UniValue read_json(const std::string& jsondata);
+UniValue read_json(const std::string& jsondata);
BOOST_FIXTURE_TEST_SUITE(base58_tests, BasicTestingSetup)
diff --git a/src/test/base64_tests.cpp b/src/test/base64_tests.cpp
index 714fccffaa..6ee1b83691 100644
--- a/src/test/base64_tests.cpp
+++ b/src/test/base64_tests.cpp
@@ -1,8 +1,7 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <test/util/setup_common.h>
#include <util/strencodings.h>
#include <boost/test/unit_test.hpp>
@@ -10,7 +9,7 @@
using namespace std::literals;
-BOOST_FIXTURE_TEST_SUITE(base64_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(base64_tests)
BOOST_AUTO_TEST_CASE(base64_testvectors)
{
@@ -24,6 +23,16 @@ BOOST_AUTO_TEST_CASE(base64_testvectors)
BOOST_CHECK_EQUAL(strDec, vstrIn[i]);
}
+ {
+ const std::vector<uint8_t> in_u{0xff, 0x01, 0xff};
+ const std::vector<std::byte> in_b{std::byte{0xff}, std::byte{0x01}, std::byte{0xff}};
+ const std::string in_s{"\xff\x01\xff"};
+ const std::string out_exp{"/wH/"};
+ BOOST_CHECK_EQUAL(EncodeBase64(in_u), out_exp);
+ BOOST_CHECK_EQUAL(EncodeBase64(in_b), out_exp);
+ BOOST_CHECK_EQUAL(EncodeBase64(in_s), out_exp);
+ }
+
// Decoding strings with embedded NUL characters should fail
bool failure;
(void)DecodeBase64("invalid\0"s, &failure);
diff --git a/src/test/bech32_tests.cpp b/src/test/bech32_tests.cpp
index a2098f4f56..51a1d1199e 100644
--- a/src/test/bech32_tests.cpp
+++ b/src/test/bech32_tests.cpp
@@ -1,16 +1,18 @@
// Copyright (c) 2017 Pieter Wuille
+// Copyright (c) 2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <bech32.h>
-#include <test/util/setup_common.h>
#include <test/util/str.h>
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(bech32_tests, BasicTestingSetup)
+#include <string>
-BOOST_AUTO_TEST_CASE(bip173_testvectors_valid)
+BOOST_AUTO_TEST_SUITE(bech32_tests)
+
+BOOST_AUTO_TEST_CASE(bech32_testvectors_valid)
{
static const std::string CASES[] = {
"A12UEL5L",
@@ -22,15 +24,35 @@ BOOST_AUTO_TEST_CASE(bip173_testvectors_valid)
"?1ezyfcl",
};
for (const std::string& str : CASES) {
- auto ret = bech32::Decode(str);
- BOOST_CHECK(!ret.first.empty());
- std::string recode = bech32::Encode(ret.first, ret.second);
+ const auto dec = bech32::Decode(str);
+ BOOST_CHECK(dec.encoding == bech32::Encoding::BECH32);
+ std::string recode = bech32::Encode(bech32::Encoding::BECH32, dec.hrp, dec.data);
BOOST_CHECK(!recode.empty());
BOOST_CHECK(CaseInsensitiveEqual(str, recode));
}
}
-BOOST_AUTO_TEST_CASE(bip173_testvectors_invalid)
+BOOST_AUTO_TEST_CASE(bech32m_testvectors_valid)
+{
+ static const std::string CASES[] = {
+ "A1LQFN3A",
+ "a1lqfn3a",
+ "an83characterlonghumanreadablepartthatcontainsthetheexcludedcharactersbioandnumber11sg7hg6",
+ "abcdef1l7aum6echk45nj3s0wdvt2fg8x9yrzpqzd3ryx",
+ "11llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllludsr8",
+ "split1checkupstagehandshakeupstreamerranterredcaperredlc445v",
+ "?1v759aa"
+ };
+ for (const std::string& str : CASES) {
+ const auto dec = bech32::Decode(str);
+ BOOST_CHECK(dec.encoding == bech32::Encoding::BECH32M);
+ std::string recode = bech32::Encode(bech32::Encoding::BECH32M, dec.hrp, dec.data);
+ BOOST_CHECK(!recode.empty());
+ BOOST_CHECK(CaseInsensitiveEqual(str, recode));
+ }
+}
+
+BOOST_AUTO_TEST_CASE(bech32_testvectors_invalid)
{
static const std::string CASES[] = {
" 1nwldj5",
@@ -47,10 +69,90 @@ BOOST_AUTO_TEST_CASE(bip173_testvectors_invalid)
"1qzzfhee",
"a12UEL5L",
"A12uEL5L",
+ "abcdef1qpzrz9x8gf2tvdw0s3jn54khce6mua7lmqqqxw",
+ "test1zg69w7y6hn0aqy352euf40x77qddq3dc",
+ };
+ static const std::pair<std::string, std::vector<int>> ERRORS[] = {
+ {"Invalid character or mixed case", {0}},
+ {"Invalid character or mixed case", {0}},
+ {"Invalid character or mixed case", {0}},
+ {"Bech32 string too long", {90}},
+ {"Missing separator", {}},
+ {"Invalid separator position", {0}},
+ {"Invalid Base 32 character", {2}},
+ {"Invalid separator position", {2}},
+ {"Invalid character or mixed case", {8}},
+ {"Invalid checksum", {}}, // The checksum is calculated using the uppercase form so the entire string is invalid, not just a few characters
+ {"Invalid separator position", {0}},
+ {"Invalid separator position", {0}},
+ {"Invalid character or mixed case", {3, 4, 5, 7}},
+ {"Invalid character or mixed case", {3}},
+ {"Invalid Bech32 checksum", {11}},
+ {"Invalid Bech32 checksum", {9, 16}},
};
+ static_assert(std::size(CASES) == std::size(ERRORS), "Bech32 CASES and ERRORS should have the same length");
+
+ int i = 0;
+ for (const std::string& str : CASES) {
+ const auto& err = ERRORS[i];
+ const auto dec = bech32::Decode(str);
+ BOOST_CHECK(dec.encoding == bech32::Encoding::INVALID);
+ auto [error, error_locations] = bech32::LocateErrors(str);
+ BOOST_CHECK_EQUAL(err.first, error);
+ BOOST_CHECK(err.second == error_locations);
+ i++;
+ }
+}
+
+BOOST_AUTO_TEST_CASE(bech32m_testvectors_invalid)
+{
+ static const std::string CASES[] = {
+ " 1xj0phk",
+ "\x7f""1g6xzxy",
+ "\x80""1vctc34",
+ "an84characterslonghumanreadablepartthatcontainsthetheexcludedcharactersbioandnumber11d6pts4",
+ "qyrz8wqd2c9m",
+ "1qyrz8wqd2c9m",
+ "y1b0jsk6g",
+ "lt1igcx5c0",
+ "in1muywd",
+ "mm1crxm3i",
+ "au1s5cgom",
+ "M1VUXWEZ",
+ "16plkw9",
+ "1p2gdwpf",
+ "abcdef1l7aum6echk45nj2s0wdvt2fg8x9yrzpqzd3ryx",
+ "test1zg69v7y60n00qy352euf40x77qcusag6",
+ };
+ static const std::pair<std::string, std::vector<int>> ERRORS[] = {
+ {"Invalid character or mixed case", {0}},
+ {"Invalid character or mixed case", {0}},
+ {"Invalid character or mixed case", {0}},
+ {"Bech32 string too long", {90}},
+ {"Missing separator", {}},
+ {"Invalid separator position", {0}},
+ {"Invalid Base 32 character", {2}},
+ {"Invalid Base 32 character", {3}},
+ {"Invalid separator position", {2}},
+ {"Invalid Base 32 character", {8}},
+ {"Invalid Base 32 character", {7}},
+ {"Invalid checksum", {}},
+ {"Invalid separator position", {0}},
+ {"Invalid separator position", {0}},
+ {"Invalid Bech32m checksum", {21}},
+ {"Invalid Bech32m checksum", {13, 32}},
+ };
+ static_assert(std::size(CASES) == std::size(ERRORS), "Bech32m CASES and ERRORS should have the same length");
+
+ int i = 0;
for (const std::string& str : CASES) {
- auto ret = bech32::Decode(str);
- BOOST_CHECK(ret.first.empty());
+ const auto& err = ERRORS[i];
+ const auto dec = bech32::Decode(str);
+ BOOST_CHECK(dec.encoding == bech32::Encoding::INVALID);
+ auto [error, error_locations] = bech32::LocateErrors(str);
+ BOOST_CHECK_EQUAL(err.first, error);
+ BOOST_CHECK(err.second == error_locations);
+ i++;
}
}
diff --git a/src/test/bip32_tests.cpp b/src/test/bip32_tests.cpp
index 32329eb510..0fa6b7784f 100644
--- a/src/test/bip32_tests.cpp
+++ b/src/test/bip32_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2013-2020 The Bitcoin Core developers
+// Copyright (c) 2013-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,6 +14,8 @@
#include <string>
#include <vector>
+namespace {
+
struct TestDerivation {
std::string pub;
std::string prv;
@@ -87,11 +89,42 @@ TestVector test3 =
"xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L",
0);
-static void RunTest(const TestVector &test) {
+TestVector test4 =
+ TestVector("3ddd5602285899a946114506157c7997e5444528f3003f6134712147db19b678")
+ ("xpub661MyMwAqRbcGczjuMoRm6dXaLDEhW1u34gKenbeYqAix21mdUKJyuyu5F1rzYGVxyL6tmgBUAEPrEz92mBXjByMRiJdba9wpnN37RLLAXa",
+ "xprv9s21ZrQH143K48vGoLGRPxgo2JNkJ3J3fqkirQC2zVdk5Dgd5w14S7fRDyHH4dWNHUgkvsvNDCkvAwcSHNAQwhwgNMgZhLtQC63zxwhQmRv",
+ 0x80000000)
+ ("xpub69AUMk3qDBi3uW1sXgjCmVjJ2G6WQoYSnNHyzkmdCHEhSZ4tBok37xfFEqHd2AddP56Tqp4o56AePAgCjYdvpW2PU2jbUPFKsav5ut6Ch1m",
+ "xprv9vB7xEWwNp9kh1wQRfCCQMnZUEG21LpbR9NPCNN1dwhiZkjjeGRnaALmPXCX7SgjFTiCTT6bXes17boXtjq3xLpcDjzEuGLQBM5ohqkao9G",
+ 0x80000001)
+ ("xpub6BJA1jSqiukeaesWfxe6sNK9CCGaujFFSJLomWHprUL9DePQ4JDkM5d88n49sMGJxrhpjazuXYWdMf17C9T5XnxkopaeS7jGk1GyyVziaMt",
+ "xprv9xJocDuwtYCMNAo3Zw76WENQeAS6WGXQ55RCy7tDJ8oALr4FWkuVoHJeHVAcAqiZLE7Je3vZJHxspZdFHfnBEjHqU5hG1Jaj32dVoS6XLT1",
+ 0);
+
+const std::vector<std::string> TEST5 = {
+ "xpub661MyMwAqRbcEYS8w7XLSVeEsBXy79zSzH1J8vCdxAZningWLdN3zgtU6LBpB85b3D2yc8sfvZU521AAwdZafEz7mnzBBsz4wKY5fTtTQBm",
+ "xprv9s21ZrQH143K24Mfq5zL5MhWK9hUhhGbd45hLXo2Pq2oqzMMo63oStZzFGTQQD3dC4H2D5GBj7vWvSQaaBv5cxi9gafk7NF3pnBju6dwKvH",
+ "xpub661MyMwAqRbcEYS8w7XLSVeEsBXy79zSzH1J8vCdxAZningWLdN3zgtU6Txnt3siSujt9RCVYsx4qHZGc62TG4McvMGcAUjeuwZdduYEvFn",
+ "xprv9s21ZrQH143K24Mfq5zL5MhWK9hUhhGbd45hLXo2Pq2oqzMMo63oStZzFGpWnsj83BHtEy5Zt8CcDr1UiRXuWCmTQLxEK9vbz5gPstX92JQ",
+ "xpub661MyMwAqRbcEYS8w7XLSVeEsBXy79zSzH1J8vCdxAZningWLdN3zgtU6N8ZMMXctdiCjxTNq964yKkwrkBJJwpzZS4HS2fxvyYUA4q2Xe4",
+ "xprv9s21ZrQH143K24Mfq5zL5MhWK9hUhhGbd45hLXo2Pq2oqzMMo63oStZzFAzHGBP2UuGCqWLTAPLcMtD9y5gkZ6Eq3Rjuahrv17fEQ3Qen6J",
+ "xprv9s2SPatNQ9Vc6GTbVMFPFo7jsaZySyzk7L8n2uqKXJen3KUmvQNTuLh3fhZMBoG3G4ZW1N2kZuHEPY53qmbZzCHshoQnNf4GvELZfqTUrcv",
+ "xpub661no6RGEX3uJkY4bNnPcw4URcQTrSibUZ4NqJEw5eBkv7ovTwgiT91XX27VbEXGENhYRCf7hyEbWrR3FewATdCEebj6znwMfQkhRYHRLpJ",
+ "xprv9s21ZrQH4r4TsiLvyLXqM9P7k1K3EYhA1kkD6xuquB5i39AU8KF42acDyL3qsDbU9NmZn6MsGSUYZEsuoePmjzsB3eFKSUEh3Gu1N3cqVUN",
+ "xpub661MyMwAuDcm6CRQ5N4qiHKrJ39Xe1R1NyfouMKTTWcguwVcfrZJaNvhpebzGerh7gucBvzEQWRugZDuDXjNDRmXzSZe4c7mnTK97pTvGS8",
+ "DMwo58pR1QLEFihHiXPVykYB6fJmsTeHvyTp7hRThAtCX8CvYzgPcn8XnmdfHGMQzT7ayAmfo4z3gY5KfbrZWZ6St24UVf2Qgo6oujFktLHdHY4",
+ "DMwo58pR1QLEFihHiXPVykYB6fJmsTeHvyTp7hRThAtCX8CvYzgPcn8XnmdfHPmHJiEDXkTiJTVV9rHEBUem2mwVbbNfvT2MTcAqj3nesx8uBf9",
+ "xprv9s21ZrQH143K24Mfq5zL5MhWK9hUhhGbd45hLXo2Pq2oqzMMo63oStZzF93Y5wvzdUayhgkkFoicQZcP3y52uPPxFnfoLZB21Teqt1VvEHx",
+ "xprv9s21ZrQH143K24Mfq5zL5MhWK9hUhhGbd45hLXo2Pq2oqzMMo63oStZzFAzHGBP2UuGCqWLTAPLcMtD5SDKr24z3aiUvKr9bJpdrcLg1y3G",
+ "xpub661MyMwAqRbcEYS8w7XLSVeEsBXy79zSzH1J8vCdxAZningWLdN3zgtU6Q5JXayek4PRsn35jii4veMimro1xefsM58PgBMrvdYre8QyULY",
+ "xprv9s21ZrQH143K3QTDL4LXw2F7HEK3wJUD2nW2nRk4stbPy6cq3jPPqjiChkVvvNKmPGJxWUtg6LnF5kejMRNNU3TGtRBeJgk33yuGBxrMPHL"
+};
+
+void RunTest(const TestVector &test) {
std::vector<unsigned char> seed = ParseHex(test.strHexMaster);
CExtKey key;
CExtPubKey pubkey;
- key.SetSeed(seed.data(), seed.size());
+ key.SetSeed(seed);
pubkey = key.Neuter();
for (const TestDerivation &derive : test.vDerive) {
unsigned char data[74];
@@ -121,6 +154,8 @@ static void RunTest(const TestVector &test) {
}
}
+} // namespace
+
BOOST_FIXTURE_TEST_SUITE(bip32_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(bip32_test1) {
@@ -135,4 +170,17 @@ BOOST_AUTO_TEST_CASE(bip32_test3) {
RunTest(test3);
}
+BOOST_AUTO_TEST_CASE(bip32_test4) {
+ RunTest(test4);
+}
+
+BOOST_AUTO_TEST_CASE(bip32_test5) {
+ for (const auto& str : TEST5) {
+ auto dec_extkey = DecodeExtKey(str);
+ auto dec_extpubkey = DecodeExtPubKey(str);
+ BOOST_CHECK_MESSAGE(!dec_extkey.key.IsValid(), "Decoding '" + str + "' as xprv should fail");
+ BOOST_CHECK_MESSAGE(!dec_extpubkey.pubkey.IsValid(), "Decoding '" + str + "' as xpub should fail");
+ }
+}
+
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/blockfilter_index_tests.cpp b/src/test/blockfilter_index_tests.cpp
index 633a95ce96..7c502349b3 100644
--- a/src/test/blockfilter_index_tests.cpp
+++ b/src/test/blockfilter_index_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,7 +6,7 @@
#include <chainparams.h>
#include <consensus/validation.h>
#include <index/blockfilterindex.h>
-#include <miner.h>
+#include <node/miner.h>
#include <pow.h>
#include <script/standard.h>
#include <test/util/blockfilter.h>
@@ -16,6 +16,10 @@
#include <boost/test/unit_test.hpp>
+using node::BlockAssembler;
+using node::CBlockTemplate;
+using node::IncrementExtraNonce;
+
BOOST_AUTO_TEST_SUITE(blockfilter_index_tests)
struct BuildChainTestingSetup : public TestChain100Setup {
@@ -62,7 +66,7 @@ CBlock BuildChainTestingSetup::CreateBlock(const CBlockIndex* prev,
const CScript& scriptPubKey)
{
const CChainParams& chainparams = Params();
- std::unique_ptr<CBlockTemplate> pblocktemplate = BlockAssembler(*m_node.mempool, chainparams).CreateNewBlock(scriptPubKey);
+ std::unique_ptr<CBlockTemplate> pblocktemplate = BlockAssembler(m_node.chainman->ActiveChainstate(), *m_node.mempool, chainparams).CreateNewBlock(scriptPubKey);
CBlock& block = pblocktemplate->block;
block.hashPrevBlock = prev->GetBlockHash();
block.nTime = prev->nTime + 1;
@@ -117,9 +121,9 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
std::vector<BlockFilter> filters;
std::vector<uint256> filter_hashes;
- for (const CBlockIndex* block_index = ::ChainActive().Genesis();
+ for (const CBlockIndex* block_index = m_node.chainman->ActiveChain().Genesis();
block_index != nullptr;
- block_index = ::ChainActive().Next(block_index)) {
+ block_index = m_node.chainman->ActiveChain().Next(block_index)) {
BOOST_CHECK(!filter_index.LookupFilter(block_index, filter));
BOOST_CHECK(!filter_index.LookupFilterHeader(block_index, filter_header));
BOOST_CHECK(!filter_index.LookupFilterRange(block_index->nHeight, block_index, filters));
@@ -131,7 +135,7 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
// BlockUntilSyncedToCurrentChain should return false before index is started.
BOOST_CHECK(!filter_index.BlockUntilSyncedToCurrentChain());
- filter_index.Start();
+ BOOST_REQUIRE(filter_index.Start(m_node.chainman->ActiveChainstate()));
// Allow filter index to catch up with the block index.
constexpr int64_t timeout_ms = 10 * 1000;
@@ -145,9 +149,9 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
{
LOCK(cs_main);
const CBlockIndex* block_index;
- for (block_index = ::ChainActive().Genesis();
+ for (block_index = m_node.chainman->ActiveChain().Genesis();
block_index != nullptr;
- block_index = ::ChainActive().Next(block_index)) {
+ block_index = m_node.chainman->ActiveChain().Next(block_index)) {
CheckFilterLookups(filter_index, block_index, last_header);
}
}
@@ -156,7 +160,7 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
const CBlockIndex* tip;
{
LOCK(cs_main);
- tip = ::ChainActive().Tip();
+ tip = m_node.chainman->ActiveChain().Tip();
}
CKey coinbase_key_A, coinbase_key_B;
coinbase_key_A.MakeNewKey(true);
@@ -178,7 +182,7 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
const CBlockIndex* block_index;
{
LOCK(cs_main);
- block_index = g_chainman.m_blockman.LookupBlockIndex(block->GetHash());
+ block_index = m_node.chainman->m_blockman.LookupBlockIndex(block->GetHash());
}
BOOST_CHECK(filter_index.BlockUntilSyncedToCurrentChain());
@@ -196,7 +200,7 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
const CBlockIndex* block_index;
{
LOCK(cs_main);
- block_index = g_chainman.m_blockman.LookupBlockIndex(block->GetHash());
+ block_index = m_node.chainman->m_blockman.LookupBlockIndex(block->GetHash());
}
BOOST_CHECK(filter_index.BlockUntilSyncedToCurrentChain());
@@ -210,7 +214,7 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
const CBlockIndex* block_index;
{
LOCK(cs_main);
- block_index = g_chainman.m_blockman.LookupBlockIndex(block->GetHash());
+ block_index = m_node.chainman->m_blockman.LookupBlockIndex(block->GetHash());
}
BOOST_CHECK(filter_index.BlockUntilSyncedToCurrentChain());
@@ -231,14 +235,14 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
{
LOCK(cs_main);
- block_index = g_chainman.m_blockman.LookupBlockIndex(chainA[i]->GetHash());
+ block_index = m_node.chainman->m_blockman.LookupBlockIndex(chainA[i]->GetHash());
}
BOOST_CHECK(filter_index.BlockUntilSyncedToCurrentChain());
CheckFilterLookups(filter_index, block_index, chainA_last_header);
{
LOCK(cs_main);
- block_index = g_chainman.m_blockman.LookupBlockIndex(chainB[i]->GetHash());
+ block_index = m_node.chainman->m_blockman.LookupBlockIndex(chainB[i]->GetHash());
}
BOOST_CHECK(filter_index.BlockUntilSyncedToCurrentChain());
CheckFilterLookups(filter_index, block_index, chainB_last_header);
@@ -250,7 +254,7 @@ BOOST_FIXTURE_TEST_CASE(blockfilter_index_initial_sync, BuildChainTestingSetup)
{
LOCK(cs_main);
- tip = ::ChainActive().Tip();
+ tip = m_node.chainman->ActiveChain().Tip();
}
BOOST_CHECK(filter_index.LookupFilterRange(0, tip, filters));
BOOST_CHECK(filter_index.LookupFilterHashRange(0, tip, filter_hashes));
diff --git a/src/test/bloom_tests.cpp b/src/test/bloom_tests.cpp
index 5a98558240..35c4108caa 100644
--- a/src/test/bloom_tests.cpp
+++ b/src/test/bloom_tests.cpp
@@ -1,8 +1,8 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <bloom.h>
+#include <common/bloom.h>
#include <clientversion.h>
#include <key.h>
@@ -43,8 +43,9 @@ BOOST_AUTO_TEST_CASE(bloom_create_insert_serialize)
stream << filter;
std::vector<uint8_t> expected = ParseHex("03614e9b050000000000000001");
+ auto result{MakeUCharSpan(stream)};
- BOOST_CHECK_EQUAL_COLLECTIONS(stream.begin(), stream.end(), expected.begin(), expected.end());
+ BOOST_CHECK_EQUAL_COLLECTIONS(result.begin(), result.end(), expected.begin(), expected.end());
BOOST_CHECK_MESSAGE( filter.contains(ParseHex("99108ad8ed9bb6274d3980bab5a85c048f0950c8")), "Bloom filter doesn't contain just-inserted object!");
}
@@ -69,8 +70,9 @@ BOOST_AUTO_TEST_CASE(bloom_create_insert_serialize_with_tweak)
stream << filter;
std::vector<uint8_t> expected = ParseHex("03ce4299050000000100008001");
+ auto result{MakeUCharSpan(stream)};
- BOOST_CHECK_EQUAL_COLLECTIONS(stream.begin(), stream.end(), expected.begin(), expected.end());
+ BOOST_CHECK_EQUAL_COLLECTIONS(result.begin(), result.end(), expected.begin(), expected.end());
}
BOOST_AUTO_TEST_CASE(bloom_create_insert_key)
@@ -83,14 +85,15 @@ BOOST_AUTO_TEST_CASE(bloom_create_insert_key)
CBloomFilter filter(2, 0.001, 0, BLOOM_UPDATE_ALL);
filter.insert(vchPubKey);
uint160 hash = pubkey.GetID();
- filter.insert(std::vector<unsigned char>(hash.begin(), hash.end()));
+ filter.insert(hash);
CDataStream stream(SER_NETWORK, PROTOCOL_VERSION);
stream << filter;
std::vector<unsigned char> expected = ParseHex("038fc16b080000000000000001");
+ auto result{MakeUCharSpan(stream)};
- BOOST_CHECK_EQUAL_COLLECTIONS(stream.begin(), stream.end(), expected.begin(), expected.end());
+ BOOST_CHECK_EQUAL_COLLECTIONS(result.begin(), result.end(), expected.begin(), expected.end());
}
BOOST_AUTO_TEST_CASE(bloom_match)
@@ -341,8 +344,9 @@ BOOST_AUTO_TEST_CASE(merkle_block_3_and_serialize)
merkleStream << merkleBlock;
std::vector<uint8_t> expected = ParseHex("0100000079cda856b143d9db2c1caff01d1aecc8630d30625d10e8b4b8b0000000000000b50cc069d6a3e33e3ff84a5c41d9d3febe7c770fdcc96b2c3ff60abe184f196367291b4d4c86041b8fa45d630100000001b50cc069d6a3e33e3ff84a5c41d9d3febe7c770fdcc96b2c3ff60abe184f19630101");
+ auto result{MakeUCharSpan(merkleStream)};
- BOOST_CHECK_EQUAL_COLLECTIONS(expected.begin(), expected.end(), merkleStream.begin(), merkleStream.end());
+ BOOST_CHECK_EQUAL_COLLECTIONS(expected.begin(), expected.end(), result.begin(), result.end());
}
BOOST_AUTO_TEST_CASE(merkle_block_4)
diff --git a/src/test/bswap_tests.cpp b/src/test/bswap_tests.cpp
index c89cb5488d..2be7122fc1 100644
--- a/src/test/bswap_tests.cpp
+++ b/src/test/bswap_tests.cpp
@@ -1,17 +1,15 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <compat/byteswap.h>
-#include <test/util/setup_common.h>
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(bswap_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(bswap_tests)
BOOST_AUTO_TEST_CASE(bswap_tests)
{
- // Sibling in bitcoin/src/qt/test/compattests.cpp
uint16_t u1 = 0x1234;
uint32_t u2 = 0x56789abc;
uint64_t u3 = 0xdef0123456789abc;
diff --git a/src/test/checkqueue_tests.cpp b/src/test/checkqueue_tests.cpp
index 21921375b3..153ccd984b 100644
--- a/src/test/checkqueue_tests.cpp
+++ b/src/test/checkqueue_tests.cpp
@@ -1,11 +1,10 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <checkqueue.h>
#include <sync.h>
#include <test/util/setup_common.h>
-#include <util/memory.h>
#include <util/system.h>
#include <util/time.h>
@@ -19,7 +18,17 @@
#include <utility>
#include <vector>
-BOOST_FIXTURE_TEST_SUITE(checkqueue_tests, TestingSetup)
+/**
+ * Identical to TestingSetup but excludes lock contention logging, as some of
+ * these tests are designed to be heavily contested to trigger race conditions
+ * or other issues.
+ */
+struct NoLockLoggingTestingSetup : public TestingSetup {
+ NoLockLoggingTestingSetup()
+ : TestingSetup{CBaseChainParams::MAIN, /*extra_args=*/{"-debugexclude=lock"}} {}
+};
+
+BOOST_FIXTURE_TEST_SUITE(checkqueue_tests, NoLockLoggingTestingSetup)
static const unsigned int QUEUE_BATCH_SIZE = 128;
static const int SCRIPT_CHECK_THREADS = 3;
@@ -146,7 +155,7 @@ typedef CCheckQueue<FrozenCleanupCheck> FrozenCleanup_Queue;
*/
static void Correct_Queue_range(std::vector<size_t> range)
{
- auto small_queue = MakeUnique<Correct_Queue>(QUEUE_BATCH_SIZE);
+ auto small_queue = std::make_unique<Correct_Queue>(QUEUE_BATCH_SIZE);
small_queue->StartWorkerThreads(SCRIPT_CHECK_THREADS);
// Make vChecks here to save on malloc (this test can be slow...)
std::vector<FakeCheckCheckCompletion> vChecks;
@@ -206,7 +215,7 @@ BOOST_AUTO_TEST_CASE(test_CheckQueue_Correct_Random)
/** Test that failing checks are caught */
BOOST_AUTO_TEST_CASE(test_CheckQueue_Catches_Failure)
{
- auto fail_queue = MakeUnique<Failing_Queue>(QUEUE_BATCH_SIZE);
+ auto fail_queue = std::make_unique<Failing_Queue>(QUEUE_BATCH_SIZE);
fail_queue->StartWorkerThreads(SCRIPT_CHECK_THREADS);
for (size_t i = 0; i < 1001; ++i) {
@@ -234,7 +243,7 @@ BOOST_AUTO_TEST_CASE(test_CheckQueue_Catches_Failure)
// future blocks, ie, the bad state is cleared.
BOOST_AUTO_TEST_CASE(test_CheckQueue_Recovers_From_Failure)
{
- auto fail_queue = MakeUnique<Failing_Queue>(QUEUE_BATCH_SIZE);
+ auto fail_queue = std::make_unique<Failing_Queue>(QUEUE_BATCH_SIZE);
fail_queue->StartWorkerThreads(SCRIPT_CHECK_THREADS);
for (auto times = 0; times < 10; ++times) {
@@ -258,7 +267,7 @@ BOOST_AUTO_TEST_CASE(test_CheckQueue_Recovers_From_Failure)
// more than once as well
BOOST_AUTO_TEST_CASE(test_CheckQueue_UniqueCheck)
{
- auto queue = MakeUnique<Unique_Queue>(QUEUE_BATCH_SIZE);
+ auto queue = std::make_unique<Unique_Queue>(QUEUE_BATCH_SIZE);
queue->StartWorkerThreads(SCRIPT_CHECK_THREADS);
size_t COUNT = 100000;
@@ -293,7 +302,7 @@ BOOST_AUTO_TEST_CASE(test_CheckQueue_UniqueCheck)
// time could leave the data hanging across a sequence of blocks.
BOOST_AUTO_TEST_CASE(test_CheckQueue_Memory)
{
- auto queue = MakeUnique<Memory_Queue>(QUEUE_BATCH_SIZE);
+ auto queue = std::make_unique<Memory_Queue>(QUEUE_BATCH_SIZE);
queue->StartWorkerThreads(SCRIPT_CHECK_THREADS);
for (size_t i = 0; i < 1000; ++i) {
size_t total = i;
@@ -320,7 +329,7 @@ BOOST_AUTO_TEST_CASE(test_CheckQueue_Memory)
// have been destructed
BOOST_AUTO_TEST_CASE(test_CheckQueue_FrozenCleanup)
{
- auto queue = MakeUnique<FrozenCleanup_Queue>(QUEUE_BATCH_SIZE);
+ auto queue = std::make_unique<FrozenCleanup_Queue>(QUEUE_BATCH_SIZE);
bool fails = false;
queue->StartWorkerThreads(SCRIPT_CHECK_THREADS);
std::thread t0([&]() {
@@ -360,7 +369,7 @@ BOOST_AUTO_TEST_CASE(test_CheckQueue_FrozenCleanup)
/** Test that CCheckQueueControl is threadsafe */
BOOST_AUTO_TEST_CASE(test_CheckQueueControl_Locks)
{
- auto queue = MakeUnique<Standard_Queue>(QUEUE_BATCH_SIZE);
+ auto queue = std::make_unique<Standard_Queue>(QUEUE_BATCH_SIZE);
{
std::vector<std::thread> tg;
std::atomic<int> nThreads {0};
diff --git a/src/test/coins_tests.cpp b/src/test/coins_tests.cpp
index 06db3b846e..82e4e1c90f 100644
--- a/src/test/coins_tests.cpp
+++ b/src/test/coins_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2014-2020 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -269,7 +269,7 @@ BOOST_AUTO_TEST_CASE(coins_cache_simulation_test)
CCoinsViewTest base;
SimulationTest(&base, false);
- CCoinsViewDB db_base{"test", /*nCacheSize*/ 1 << 23, /*fMemory*/ true, /*fWipe*/ false};
+ CCoinsViewDB db_base{"test", /*nCacheSize=*/1 << 23, /*fMemory=*/true, /*fWipe=*/false};
SimulationTest(&db_base, true);
}
@@ -324,7 +324,7 @@ BOOST_AUTO_TEST_CASE(updatecoins_simulation_test)
tx.vout.resize(1);
tx.vout[0].nValue = i; //Keep txs unique unless intended to duplicate
tx.vout[0].scriptPubKey.assign(InsecureRand32() & 0x3F, 0); // Random sizes so we can test memory usage accounting
- unsigned int height = InsecureRand32();
+ const int height{int(InsecureRand32() >> 1)};
Coin old_coin;
// 2/20 times create a new coinbase
@@ -393,11 +393,11 @@ BOOST_AUTO_TEST_CASE(updatecoins_simulation_test)
// Update the expected result to know about the new output coins
assert(tx.vout.size() == 1);
const COutPoint outpoint(tx.GetHash(), 0);
- result[outpoint] = Coin(tx.vout[0], height, CTransaction(tx).IsCoinBase());
+ result[outpoint] = Coin{tx.vout[0], height, CTransaction{tx}.IsCoinBase()};
// Call UpdateCoins on the top cache
CTxUndo undo;
- UpdateCoins(CTransaction(tx), *(stack.back()), undo, height);
+ UpdateCoins(CTransaction{tx}, *(stack.back()), undo, height);
// Update the utxo set for future spends
utxoset.insert(outpoint);
diff --git a/src/test/coinstatsindex_tests.cpp b/src/test/coinstatsindex_tests.cpp
new file mode 100644
index 0000000000..92de4ec7ba
--- /dev/null
+++ b/src/test/coinstatsindex_tests.cpp
@@ -0,0 +1,81 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <index/coinstatsindex.h>
+#include <test/util/setup_common.h>
+#include <util/time.h>
+#include <validation.h>
+
+#include <boost/test/unit_test.hpp>
+
+#include <chrono>
+
+using node::CCoinsStats;
+using node::CoinStatsHashType;
+
+BOOST_AUTO_TEST_SUITE(coinstatsindex_tests)
+
+BOOST_FIXTURE_TEST_CASE(coinstatsindex_initial_sync, TestChain100Setup)
+{
+ CoinStatsIndex coin_stats_index{1 << 20, true};
+
+ CCoinsStats coin_stats{CoinStatsHashType::MUHASH};
+ const CBlockIndex* block_index;
+ {
+ LOCK(cs_main);
+ block_index = m_node.chainman->ActiveChain().Tip();
+ }
+
+ // CoinStatsIndex should not be found before it is started.
+ BOOST_CHECK(!coin_stats_index.LookUpStats(block_index, coin_stats));
+
+ // BlockUntilSyncedToCurrentChain should return false before CoinStatsIndex
+ // is started.
+ BOOST_CHECK(!coin_stats_index.BlockUntilSyncedToCurrentChain());
+
+ BOOST_REQUIRE(coin_stats_index.Start(m_node.chainman->ActiveChainstate()));
+
+ // Allow the CoinStatsIndex to catch up with the block index that is syncing
+ // in a background thread.
+ const auto timeout = GetTime<std::chrono::seconds>() + 120s;
+ while (!coin_stats_index.BlockUntilSyncedToCurrentChain()) {
+ BOOST_REQUIRE(timeout > GetTime<std::chrono::milliseconds>());
+ UninterruptibleSleep(100ms);
+ }
+
+ // Check that CoinStatsIndex works for genesis block.
+ const CBlockIndex* genesis_block_index;
+ {
+ LOCK(cs_main);
+ genesis_block_index = m_node.chainman->ActiveChain().Genesis();
+ }
+ BOOST_CHECK(coin_stats_index.LookUpStats(genesis_block_index, coin_stats));
+
+ // Check that CoinStatsIndex updates with new blocks.
+ coin_stats_index.LookUpStats(block_index, coin_stats);
+
+ const CScript script_pub_key{CScript() << ToByteVector(coinbaseKey.GetPubKey()) << OP_CHECKSIG};
+ std::vector<CMutableTransaction> noTxns;
+ CreateAndProcessBlock(noTxns, script_pub_key);
+
+ // Let the CoinStatsIndex to catch up again.
+ BOOST_CHECK(coin_stats_index.BlockUntilSyncedToCurrentChain());
+
+ CCoinsStats new_coin_stats{CoinStatsHashType::MUHASH};
+ const CBlockIndex* new_block_index;
+ {
+ LOCK(cs_main);
+ new_block_index = m_node.chainman->ActiveChain().Tip();
+ }
+ coin_stats_index.LookUpStats(new_block_index, new_coin_stats);
+
+ BOOST_CHECK(block_index != new_block_index);
+
+ // Shutdown sequence (c.f. Shutdown() in init.cpp)
+ coin_stats_index.Stop();
+
+ // Rest of shutdown sequence and destructors happen in ~TestingSetup()
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/compilerbug_tests.cpp b/src/test/compilerbug_tests.cpp
index b68bc279e1..ef558c1e32 100644
--- a/src/test/compilerbug_tests.cpp
+++ b/src/test/compilerbug_tests.cpp
@@ -1,11 +1,10 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <boost/test/unit_test.hpp>
-#include <test/util/setup_common.h>
-BOOST_FIXTURE_TEST_SUITE(compilerbug_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(compilerbug_tests)
#if defined(__GNUC__)
// This block will also be built under clang, which is fine (as it supports noinline)
diff --git a/src/test/compress_tests.cpp b/src/test/compress_tests.cpp
index 4ddbc8338e..de99b91c7f 100644
--- a/src/test/compress_tests.cpp
+++ b/src/test/compress_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -72,14 +72,14 @@ BOOST_AUTO_TEST_CASE(compress_script_to_ckey_id)
CScript script = CScript() << OP_DUP << OP_HASH160 << ToByteVector(pubkey.GetID()) << OP_EQUALVERIFY << OP_CHECKSIG;
BOOST_CHECK_EQUAL(script.size(), 25U);
- std::vector<unsigned char> out;
+ CompressedScript out;
bool done = CompressScript(script, out);
BOOST_CHECK_EQUAL(done, true);
// Check compressed script
BOOST_CHECK_EQUAL(out.size(), 21U);
BOOST_CHECK_EQUAL(out[0], 0x00);
- BOOST_CHECK_EQUAL(memcmp(&out[1], &script[3], 20), 0); // compare the 20 relevant chars of the CKeyId in the script
+ BOOST_CHECK_EQUAL(memcmp(out.data() + 1, script.data() + 3, 20), 0); // compare the 20 relevant chars of the CKeyId in the script
}
BOOST_AUTO_TEST_CASE(compress_script_to_cscript_id)
@@ -89,14 +89,14 @@ BOOST_AUTO_TEST_CASE(compress_script_to_cscript_id)
script << OP_HASH160 << ToByteVector(CScriptID(redeemScript)) << OP_EQUAL;
BOOST_CHECK_EQUAL(script.size(), 23U);
- std::vector<unsigned char> out;
+ CompressedScript out;
bool done = CompressScript(script, out);
BOOST_CHECK_EQUAL(done, true);
// Check compressed script
BOOST_CHECK_EQUAL(out.size(), 21U);
BOOST_CHECK_EQUAL(out[0], 0x01);
- BOOST_CHECK_EQUAL(memcmp(&out[1], &script[2], 20), 0); // compare the 20 relevant chars of the CScriptId in the script
+ BOOST_CHECK_EQUAL(memcmp(out.data() + 1, script.data() + 2, 20), 0); // compare the 20 relevant chars of the CScriptId in the script
}
BOOST_AUTO_TEST_CASE(compress_script_to_compressed_pubkey_id)
@@ -107,14 +107,14 @@ BOOST_AUTO_TEST_CASE(compress_script_to_compressed_pubkey_id)
CScript script = CScript() << ToByteVector(key.GetPubKey()) << OP_CHECKSIG; // COMPRESSED_PUBLIC_KEY_SIZE (33)
BOOST_CHECK_EQUAL(script.size(), 35U);
- std::vector<unsigned char> out;
+ CompressedScript out;
bool done = CompressScript(script, out);
BOOST_CHECK_EQUAL(done, true);
// Check compressed script
BOOST_CHECK_EQUAL(out.size(), 33U);
- BOOST_CHECK_EQUAL(memcmp(&out[0], &script[1], 1), 0);
- BOOST_CHECK_EQUAL(memcmp(&out[1], &script[2], 32), 0); // compare the 32 chars of the compressed CPubKey
+ BOOST_CHECK_EQUAL(memcmp(out.data(), script.data() + 1, 1), 0);
+ BOOST_CHECK_EQUAL(memcmp(out.data() + 1, script.data() + 2, 32), 0); // compare the 32 chars of the compressed CPubKey
}
BOOST_AUTO_TEST_CASE(compress_script_to_uncompressed_pubkey_id)
@@ -124,13 +124,13 @@ BOOST_AUTO_TEST_CASE(compress_script_to_uncompressed_pubkey_id)
CScript script = CScript() << ToByteVector(key.GetPubKey()) << OP_CHECKSIG; // PUBLIC_KEY_SIZE (65)
BOOST_CHECK_EQUAL(script.size(), 67U); // 1 char code + 65 char pubkey + OP_CHECKSIG
- std::vector<unsigned char> out;
+ CompressedScript out;
bool done = CompressScript(script, out);
BOOST_CHECK_EQUAL(done, true);
// Check compressed script
BOOST_CHECK_EQUAL(out.size(), 33U);
- BOOST_CHECK_EQUAL(memcmp(&out[1], &script[2], 32), 0); // first 32 chars of CPubKey are copied into out[1:]
+ BOOST_CHECK_EQUAL(memcmp(out.data() + 1, script.data() + 2, 32), 0); // first 32 chars of CPubKey are copied into out[1:]
BOOST_CHECK_EQUAL(out[0], 0x04 | (script[65] & 0x01)); // least significant bit (lsb) of last char of pubkey is mapped into out[0]
}
diff --git a/src/test/crypto_tests.cpp b/src/test/crypto_tests.cpp
index 7358b246b6..6148edf115 100644
--- a/src/test/crypto_tests.cpp
+++ b/src/test/crypto_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2014-2020 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -33,7 +33,7 @@ static void TestVector(const Hasher &h, const In &in, const Out &out) {
hash.resize(out.size());
{
// Test that writing the whole input string at once works.
- Hasher(h).Write((unsigned char*)&in[0], in.size()).Finalize(&hash[0]);
+ Hasher(h).Write((const uint8_t*)in.data(), in.size()).Finalize(hash.data());
BOOST_CHECK(hash == out);
}
for (int i=0; i<32; i++) {
@@ -42,15 +42,15 @@ static void TestVector(const Hasher &h, const In &in, const Out &out) {
size_t pos = 0;
while (pos < in.size()) {
size_t len = InsecureRandRange((in.size() - pos + 1) / 2 + 1);
- hasher.Write((unsigned char*)&in[pos], len);
+ hasher.Write((const uint8_t*)in.data() + pos, len);
pos += len;
if (pos > 0 && pos + 2 * out.size() > in.size() && pos < in.size()) {
// Test that writing the rest at once to a copy of a hasher works.
- Hasher(hasher).Write((unsigned char*)&in[pos], in.size() - pos).Finalize(&hash[0]);
+ Hasher(hasher).Write((const uint8_t*)in.data() + pos, in.size() - pos).Finalize(hash.data());
BOOST_CHECK(hash == out);
}
}
- hasher.Finalize(&hash[0]);
+ hasher.Finalize(hash.data());
BOOST_CHECK(hash == out);
}
}
@@ -574,10 +574,10 @@ BOOST_AUTO_TEST_CASE(hkdf_hmac_sha256_l32_tests)
{
// Use rfc5869 test vectors but truncated to 32 bytes (our implementation only support length 32)
TestHKDF_SHA256_32(
- /* IKM */ "0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b",
- /* salt */ "000102030405060708090a0b0c",
- /* info */ "f0f1f2f3f4f5f6f7f8f9",
- /* expected OKM */ "3cb25f25faacd57a90434f64d0362f2a2d2d0a90cf1a5a4c5db02d56ecc4c5bf");
+ /*ikm_hex=*/"0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b0b",
+ /*salt_hex=*/"000102030405060708090a0b0c",
+ /*info_hex=*/"f0f1f2f3f4f5f6f7f8f9",
+ /*okm_check_hex=*/"3cb25f25faacd57a90434f64d0362f2a2d2d0a90cf1a5a4c5db02d56ecc4c5bf");
TestHKDF_SHA256_32(
"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f",
"606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f808182838485868788898a8b8c8d8e8f909192939495969798999a9b9c9d9e9fa0a1a2a3a4a5a6a7a8a9aaabacadaeaf",
@@ -617,7 +617,7 @@ static void TestChaCha20Poly1305AEAD(bool must_succeed, unsigned int expected_aa
ChaCha20Poly1305AEAD aead(aead_K_1.data(), aead_K_1.size(), aead_K_2.data(), aead_K_2.size());
// create a chacha20 instance to compare against
- ChaCha20 cmp_ctx(aead_K_2.data(), 32);
+ ChaCha20 cmp_ctx(aead_K_1.data(), 32);
// encipher
bool res = aead.Crypt(seqnr_payload, seqnr_aad, aad_pos, ciphertext_buf.data(), ciphertext_buf.size(), plaintext_buf.data(), plaintext_buf.size(), true);
@@ -694,8 +694,8 @@ BOOST_AUTO_TEST_CASE(chacha20_poly1305_aead_testvector)
TestChaCha20Poly1305AEAD(true, 0,
/* m */ "0000000000000000000000000000000000000000000000000000000000000000",
- /* k1 (payload) */ "0000000000000000000000000000000000000000000000000000000000000000",
- /* k2 (AAD) */ "0000000000000000000000000000000000000000000000000000000000000000",
+ /* k1 (AAD) */ "0000000000000000000000000000000000000000000000000000000000000000",
+ /* k2 (payload) */ "0000000000000000000000000000000000000000000000000000000000000000",
/* AAD keystream */ "76b8e0ada0f13d90405d6ae55386bd28bdd219b8a08ded1aa836efcc8b770dc7da41597c5157488d7724e03fb8d84a376a43b8f41518a11cc387b669b2ee6586",
/* encrypted message & MAC */ "76b8e09f07e7be5551387a98ba977c732d080dcb0f29a048e3656912c6533e32d2fc11829c1b6c1df1f551cd6131ff08",
/* encrypted message & MAC at sequence 999 */ "b0a03d5bd2855d60699e7d3a3133fa47be740fe4e4c1f967555e2d9271f31c3aaa7aa16ec62c5e24f040c08bb20c3598");
@@ -708,8 +708,8 @@ BOOST_AUTO_TEST_CASE(chacha20_poly1305_aead_testvector)
"b1a03d5bd2855d60699e7d3a3133fa47be740fe4e4c1f967555e2d9271f31c3a8bd94d54b5ecabbc41ffbb0c90924080");
TestChaCha20Poly1305AEAD(true, 255,
"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",
- "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f",
"ff0102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f",
+ "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f",
"c640c1711e3ee904ac35c57ab9791c8a1c408603a90b77a83b54f6c844cb4b06d94e7fc6c800e165acd66147e80ec45a567f6ce66d05ec0cae679dceeb890017",
"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",
"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");
@@ -770,8 +770,8 @@ static void TestSHA3_256(const std::string& input, const std::string& output)
int s1 = InsecureRandRange(in_bytes.size() + 1);
int s2 = InsecureRandRange(in_bytes.size() + 1 - s1);
int s3 = in_bytes.size() - s1 - s2;
- sha.Write(MakeSpan(in_bytes).first(s1)).Write(MakeSpan(in_bytes).subspan(s1, s2));
- sha.Write(MakeSpan(in_bytes).last(s3)).Finalize(out);
+ sha.Write(Span{in_bytes}.first(s1)).Write(Span{in_bytes}.subspan(s1, s2));
+ sha.Write(Span{in_bytes}.last(s3)).Finalize(out);
BOOST_CHECK(std::equal(std::begin(out_bytes), std::end(out_bytes), out));
}
diff --git a/src/test/cuckoocache_tests.cpp b/src/test/cuckoocache_tests.cpp
index 35b66cfc53..c7c34cc8c9 100644
--- a/src/test/cuckoocache_tests.cpp
+++ b/src/test/cuckoocache_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <cuckoocache.h>
diff --git a/src/test/data/README.md b/src/test/data/README.md
index 2463daa42a..a05d9c668b 100644
--- a/src/test/data/README.md
+++ b/src/test/data/README.md
@@ -8,5 +8,5 @@ License
The data files in this directory are distributed under the MIT software
license, see the accompanying file COPYING or
-http://www.opensource.org/licenses/mit-license.php.
+https://www.opensource.org/licenses/mit-license.php.
diff --git a/src/test/data/bip341_wallet_vectors.json b/src/test/data/bip341_wallet_vectors.json
new file mode 100644
index 0000000000..11261b00ba
--- /dev/null
+++ b/src/test/data/bip341_wallet_vectors.json
@@ -0,0 +1,452 @@
+{
+ "version": 1,
+ "scriptPubKey": [
+ {
+ "given": {
+ "internalPubkey": "d6889cb081036e0faefa3a35157ad71086b123b2b144b649798b494c300a961d",
+ "scriptTree": null
+ },
+ "intermediary": {
+ "merkleRoot": null,
+ "tweak": "b86e7be8f39bab32a6f2c0443abbc210f0edac0e2c53d501b36b64437d9c6c70",
+ "tweakedPubkey": "53a1f6e454df1aa2776a2814a721372d6258050de330b3c6d10ee8f4e0dda343"
+ },
+ "expected": {
+ "scriptPubKey": "512053a1f6e454df1aa2776a2814a721372d6258050de330b3c6d10ee8f4e0dda343",
+ "bip350Address": "bc1p2wsldez5mud2yam29q22wgfh9439spgduvct83k3pm50fcxa5dps59h4z5"
+ }
+ },
+ {
+ "given": {
+ "internalPubkey": "187791b6f712a8ea41c8ecdd0ee77fab3e85263b37e1ec18a3651926b3a6cf27",
+ "scriptTree": {
+ "id": 0,
+ "script": "20d85a959b0290bf19bb89ed43c916be835475d013da4b362117393e25a48229b8ac",
+ "leafVersion": 192
+ }
+ },
+ "intermediary": {
+ "leafHashes": [
+ "5b75adecf53548f3ec6ad7d78383bf84cc57b55a3127c72b9a2481752dd88b21"
+ ],
+ "merkleRoot": "5b75adecf53548f3ec6ad7d78383bf84cc57b55a3127c72b9a2481752dd88b21",
+ "tweak": "cbd8679ba636c1110ea247542cfbd964131a6be84f873f7f3b62a777528ed001",
+ "tweakedPubkey": "147c9c57132f6e7ecddba9800bb0c4449251c92a1e60371ee77557b6620f3ea3"
+ },
+ "expected": {
+ "scriptPubKey": "5120147c9c57132f6e7ecddba9800bb0c4449251c92a1e60371ee77557b6620f3ea3",
+ "bip350Address": "bc1pz37fc4cn9ah8anwm4xqqhvxygjf9rjf2resrw8h8w4tmvcs0863sa2e586",
+ "scriptPathControlBlocks": [
+ "c1187791b6f712a8ea41c8ecdd0ee77fab3e85263b37e1ec18a3651926b3a6cf27"
+ ]
+ }
+ },
+ {
+ "given": {
+ "internalPubkey": "93478e9488f956df2396be2ce6c5cced75f900dfa18e7dabd2428aae78451820",
+ "scriptTree": {
+ "id": 0,
+ "script": "20b617298552a72ade070667e86ca63b8f5789a9fe8731ef91202a91c9f3459007ac",
+ "leafVersion": 192
+ }
+ },
+ "intermediary": {
+ "leafHashes": [
+ "c525714a7f49c28aedbbba78c005931a81c234b2f6c99a73e4d06082adc8bf2b"
+ ],
+ "merkleRoot": "c525714a7f49c28aedbbba78c005931a81c234b2f6c99a73e4d06082adc8bf2b",
+ "tweak": "6af9e28dbf9d6aaf027696e2598a5b3d056f5fd2355a7fd5a37a0e5008132d30",
+ "tweakedPubkey": "e4d810fd50586274face62b8a807eb9719cef49c04177cc6b76a9a4251d5450e"
+ },
+ "expected": {
+ "scriptPubKey": "5120e4d810fd50586274face62b8a807eb9719cef49c04177cc6b76a9a4251d5450e",
+ "bip350Address": "bc1punvppl2stp38f7kwv2u2spltjuvuaayuqsthe34hd2dyy5w4g58qqfuag5",
+ "scriptPathControlBlocks": [
+ "c093478e9488f956df2396be2ce6c5cced75f900dfa18e7dabd2428aae78451820"
+ ]
+ }
+ },
+ {
+ "given": {
+ "internalPubkey": "ee4fe085983462a184015d1f782d6a5f8b9c2b60130aff050ce221ecf3786592",
+ "scriptTree": [
+ {
+ "id": 0,
+ "script": "20387671353e273264c495656e27e39ba899ea8fee3bb69fb2a680e22093447d48ac",
+ "leafVersion": 192
+ },
+ {
+ "id": 1,
+ "script": "06424950333431",
+ "leafVersion": 250
+ }
+ ]
+ },
+ "intermediary": {
+ "leafHashes": [
+ "8ad69ec7cf41c2a4001fd1f738bf1e505ce2277acdcaa63fe4765192497f47a7",
+ "f224a923cd0021ab202ab139cc56802ddb92dcfc172b9212261a539df79a112a"
+ ],
+ "merkleRoot": "6c2dc106ab816b73f9d07e3cd1ef2c8c1256f519748e0813e4edd2405d277bef",
+ "tweak": "9e0517edc8259bb3359255400b23ca9507f2a91cd1e4250ba068b4eafceba4a9",
+ "tweakedPubkey": "712447206d7a5238acc7ff53fbe94a3b64539ad291c7cdbc490b7577e4b17df5"
+ },
+ "expected": {
+ "scriptPubKey": "5120712447206d7a5238acc7ff53fbe94a3b64539ad291c7cdbc490b7577e4b17df5",
+ "bip350Address": "bc1pwyjywgrd0ffr3tx8laflh6228dj98xkjj8rum0zfpd6h0e930h6saqxrrm",
+ "scriptPathControlBlocks": [
+ "c0ee4fe085983462a184015d1f782d6a5f8b9c2b60130aff050ce221ecf3786592f224a923cd0021ab202ab139cc56802ddb92dcfc172b9212261a539df79a112a",
+ "faee4fe085983462a184015d1f782d6a5f8b9c2b60130aff050ce221ecf37865928ad69ec7cf41c2a4001fd1f738bf1e505ce2277acdcaa63fe4765192497f47a7"
+ ]
+ }
+ },
+ {
+ "given": {
+ "internalPubkey": "f9f400803e683727b14f463836e1e78e1c64417638aa066919291a225f0e8dd8",
+ "scriptTree": [
+ {
+ "id": 0,
+ "script": "2044b178d64c32c4a05cc4f4d1407268f764c940d20ce97abfd44db5c3592b72fdac",
+ "leafVersion": 192
+ },
+ {
+ "id": 1,
+ "script": "07546170726f6f74",
+ "leafVersion": 192
+ }
+ ]
+ },
+ "intermediary": {
+ "leafHashes": [
+ "64512fecdb5afa04f98839b50e6f0cb7b1e539bf6f205f67934083cdcc3c8d89",
+ "2cb2b90daa543b544161530c925f285b06196940d6085ca9474d41dc3822c5cb"
+ ],
+ "merkleRoot": "ab179431c28d3b68fb798957faf5497d69c883c6fb1e1cd9f81483d87bac90cc",
+ "tweak": "639f0281b7ac49e742cd25b7f188657626da1ad169209078e2761cefd91fd65e",
+ "tweakedPubkey": "77e30a5522dd9f894c3f8b8bd4c4b2cf82ca7da8a3ea6a239655c39c050ab220"
+ },
+ "expected": {
+ "scriptPubKey": "512077e30a5522dd9f894c3f8b8bd4c4b2cf82ca7da8a3ea6a239655c39c050ab220",
+ "bip350Address": "bc1pwl3s54fzmk0cjnpl3w9af39je7pv5ldg504x5guk2hpecpg2kgsqaqstjq",
+ "scriptPathControlBlocks": [
+ "c1f9f400803e683727b14f463836e1e78e1c64417638aa066919291a225f0e8dd82cb2b90daa543b544161530c925f285b06196940d6085ca9474d41dc3822c5cb",
+ "c1f9f400803e683727b14f463836e1e78e1c64417638aa066919291a225f0e8dd864512fecdb5afa04f98839b50e6f0cb7b1e539bf6f205f67934083cdcc3c8d89"
+ ]
+ }
+ },
+ {
+ "given": {
+ "internalPubkey": "e0dfe2300b0dd746a3f8674dfd4525623639042569d829c7f0eed9602d263e6f",
+ "scriptTree": [
+ {
+ "id": 0,
+ "script": "2072ea6adcf1d371dea8fba1035a09f3d24ed5a059799bae114084130ee5898e69ac",
+ "leafVersion": 192
+ },
+ [
+ {
+ "id": 1,
+ "script": "202352d137f2f3ab38d1eaa976758873377fa5ebb817372c71e2c542313d4abda8ac",
+ "leafVersion": 192
+ },
+ {
+ "id": 2,
+ "script": "207337c0dd4253cb86f2c43a2351aadd82cccb12a172cd120452b9bb8324f2186aac",
+ "leafVersion": 192
+ }
+ ]
+ ]
+ },
+ "intermediary": {
+ "leafHashes": [
+ "2645a02e0aac1fe69d69755733a9b7621b694bb5b5cde2bbfc94066ed62b9817",
+ "ba982a91d4fc552163cb1c0da03676102d5b7a014304c01f0c77b2b8e888de1c",
+ "9e31407bffa15fefbf5090b149d53959ecdf3f62b1246780238c24501d5ceaf6"
+ ],
+ "merkleRoot": "ccbd66c6f7e8fdab47b3a486f59d28262be857f30d4773f2d5ea47f7761ce0e2",
+ "tweak": "b57bfa183d28eeb6ad688ddaabb265b4a41fbf68e5fed2c72c74de70d5a786f4",
+ "tweakedPubkey": "91b64d5324723a985170e4dc5a0f84c041804f2cd12660fa5dec09fc21783605"
+ },
+ "expected": {
+ "scriptPubKey": "512091b64d5324723a985170e4dc5a0f84c041804f2cd12660fa5dec09fc21783605",
+ "bip350Address": "bc1pjxmy65eywgafs5tsunw95ruycpqcqnev6ynxp7jaasylcgtcxczs6n332e",
+ "scriptPathControlBlocks": [
+ "c0e0dfe2300b0dd746a3f8674dfd4525623639042569d829c7f0eed9602d263e6fffe578e9ea769027e4f5a3de40732f75a88a6353a09d767ddeb66accef85e553",
+ "c0e0dfe2300b0dd746a3f8674dfd4525623639042569d829c7f0eed9602d263e6f9e31407bffa15fefbf5090b149d53959ecdf3f62b1246780238c24501d5ceaf62645a02e0aac1fe69d69755733a9b7621b694bb5b5cde2bbfc94066ed62b9817",
+ "c0e0dfe2300b0dd746a3f8674dfd4525623639042569d829c7f0eed9602d263e6fba982a91d4fc552163cb1c0da03676102d5b7a014304c01f0c77b2b8e888de1c2645a02e0aac1fe69d69755733a9b7621b694bb5b5cde2bbfc94066ed62b9817"
+ ]
+ }
+ },
+ {
+ "given": {
+ "internalPubkey": "55adf4e8967fbd2e29f20ac896e60c3b0f1d5b0efa9d34941b5958c7b0a0312d",
+ "scriptTree": [
+ {
+ "id": 0,
+ "script": "2071981521ad9fc9036687364118fb6ccd2035b96a423c59c5430e98310a11abe2ac",
+ "leafVersion": 192
+ },
+ [
+ {
+ "id": 1,
+ "script": "20d5094d2dbe9b76e2c245a2b89b6006888952e2faa6a149ae318d69e520617748ac",
+ "leafVersion": 192
+ },
+ {
+ "id": 2,
+ "script": "20c440b462ad48c7a77f94cd4532d8f2119dcebbd7c9764557e62726419b08ad4cac",
+ "leafVersion": 192
+ }
+ ]
+ ]
+ },
+ "intermediary": {
+ "leafHashes": [
+ "f154e8e8e17c31d3462d7132589ed29353c6fafdb884c5a6e04ea938834f0d9d",
+ "737ed1fe30bc42b8022d717b44f0d93516617af64a64753b7a06bf16b26cd711",
+ "d7485025fceb78b9ed667db36ed8b8dc7b1f0b307ac167fa516fe4352b9f4ef7"
+ ],
+ "merkleRoot": "2f6b2c5397b6d68ca18e09a3f05161668ffe93a988582d55c6f07bd5b3329def",
+ "tweak": "6579138e7976dc13b6a92f7bfd5a2fc7684f5ea42419d43368301470f3b74ed9",
+ "tweakedPubkey": "75169f4001aa68f15bbed28b218df1d0a62cbbcf1188c6665110c293c907b831"
+ },
+ "expected": {
+ "scriptPubKey": "512075169f4001aa68f15bbed28b218df1d0a62cbbcf1188c6665110c293c907b831",
+ "bip350Address": "bc1pw5tf7sqp4f50zka7629jrr036znzew70zxyvvej3zrpf8jg8hqcssyuewe",
+ "scriptPathControlBlocks": [
+ "c155adf4e8967fbd2e29f20ac896e60c3b0f1d5b0efa9d34941b5958c7b0a0312d3cd369a528b326bc9d2133cbd2ac21451acb31681a410434672c8e34fe757e91",
+ "c155adf4e8967fbd2e29f20ac896e60c3b0f1d5b0efa9d34941b5958c7b0a0312dd7485025fceb78b9ed667db36ed8b8dc7b1f0b307ac167fa516fe4352b9f4ef7f154e8e8e17c31d3462d7132589ed29353c6fafdb884c5a6e04ea938834f0d9d",
+ "c155adf4e8967fbd2e29f20ac896e60c3b0f1d5b0efa9d34941b5958c7b0a0312d737ed1fe30bc42b8022d717b44f0d93516617af64a64753b7a06bf16b26cd711f154e8e8e17c31d3462d7132589ed29353c6fafdb884c5a6e04ea938834f0d9d"
+ ]
+ }
+ }
+ ],
+ "keyPathSpending": [
+ {
+ "given": {
+ "rawUnsignedTx": "02000000097de20cbff686da83a54981d2b9bab3586f4ca7e48f57f5b55963115f3b334e9c010000000000000000d7b7cab57b1393ace2d064f4d4a2cb8af6def61273e127517d44759b6dafdd990000000000fffffffff8e1f583384333689228c5d28eac13366be082dc57441760d957275419a418420000000000fffffffff0689180aa63b30cb162a73c6d2a38b7eeda2a83ece74310fda0843ad604853b0100000000feffffffaa5202bdf6d8ccd2ee0f0202afbbb7461d9264a25e5bfd3c5a52ee1239e0ba6c0000000000feffffff956149bdc66faa968eb2be2d2faa29718acbfe3941215893a2a3446d32acd050000000000000000000e664b9773b88c09c32cb70a2a3e4da0ced63b7ba3b22f848531bbb1d5d5f4c94010000000000000000e9aa6b8e6c9de67619e6a3924ae25696bb7b694bb677a632a74ef7eadfd4eabf0000000000ffffffffa778eb6a263dc090464cd125c466b5a99667720b1c110468831d058aa1b82af10100000000ffffffff0200ca9a3b000000001976a91406afd46bcdfd22ef94ac122aa11f241244a37ecc88ac807840cb0000000020ac9a87f5594be208f8532db38cff670c450ed2fea8fcdefcc9a663f78bab962b0065cd1d",
+ "utxosSpent": [
+ {
+ "scriptPubKey": "512053a1f6e454df1aa2776a2814a721372d6258050de330b3c6d10ee8f4e0dda343",
+ "amountSats": 420000000
+ },
+ {
+ "scriptPubKey": "5120147c9c57132f6e7ecddba9800bb0c4449251c92a1e60371ee77557b6620f3ea3",
+ "amountSats": 462000000
+ },
+ {
+ "scriptPubKey": "76a914751e76e8199196d454941c45d1b3a323f1433bd688ac",
+ "amountSats": 294000000
+ },
+ {
+ "scriptPubKey": "5120e4d810fd50586274face62b8a807eb9719cef49c04177cc6b76a9a4251d5450e",
+ "amountSats": 504000000
+ },
+ {
+ "scriptPubKey": "512091b64d5324723a985170e4dc5a0f84c041804f2cd12660fa5dec09fc21783605",
+ "amountSats": 630000000
+ },
+ {
+ "scriptPubKey": "00147dd65592d0ab2fe0d0257d571abf032cd9db93dc",
+ "amountSats": 378000000
+ },
+ {
+ "scriptPubKey": "512075169f4001aa68f15bbed28b218df1d0a62cbbcf1188c6665110c293c907b831",
+ "amountSats": 672000000
+ },
+ {
+ "scriptPubKey": "5120712447206d7a5238acc7ff53fbe94a3b64539ad291c7cdbc490b7577e4b17df5",
+ "amountSats": 546000000
+ },
+ {
+ "scriptPubKey": "512077e30a5522dd9f894c3f8b8bd4c4b2cf82ca7da8a3ea6a239655c39c050ab220",
+ "amountSats": 588000000
+ }
+ ]
+ },
+ "intermediary": {
+ "hashAmounts": "58a6964a4f5f8f0b642ded0a8a553be7622a719da71d1f5befcefcdee8e0fde6",
+ "hashOutputs": "a2e6dab7c1f0dcd297c8d61647fd17d821541ea69c3cc37dcbad7f90d4eb4bc5",
+ "hashPrevouts": "e3b33bb4ef3a52ad1fffb555c0d82828eb22737036eaeb02a235d82b909c4c3f",
+ "hashScriptPubkeys": "23ad0f61ad2bca5ba6a7693f50fce988e17c3780bf2b1e720cfbb38fbdd52e21",
+ "hashSequences": "18959c7221ab5ce9e26c3cd67b22c24f8baa54bac281d8e6b05e400e6c3a957e"
+ },
+ "inputSpending": [
+ {
+ "given": {
+ "txinIndex": 0,
+ "internalPrivkey": "6b973d88838f27366ed61c9ad6367663045cb456e28335c109e30717ae0c6baa",
+ "merkleRoot": null,
+ "hashType": 3
+ },
+ "intermediary": {
+ "internalPubkey": "d6889cb081036e0faefa3a35157ad71086b123b2b144b649798b494c300a961d",
+ "tweak": "b86e7be8f39bab32a6f2c0443abbc210f0edac0e2c53d501b36b64437d9c6c70",
+ "tweakedPrivkey": "2405b971772ad26915c8dcdf10f238753a9b837e5f8e6a86fd7c0cce5b7296d9",
+ "sigMsg": "0003020000000065cd1de3b33bb4ef3a52ad1fffb555c0d82828eb22737036eaeb02a235d82b909c4c3f58a6964a4f5f8f0b642ded0a8a553be7622a719da71d1f5befcefcdee8e0fde623ad0f61ad2bca5ba6a7693f50fce988e17c3780bf2b1e720cfbb38fbdd52e2118959c7221ab5ce9e26c3cd67b22c24f8baa54bac281d8e6b05e400e6c3a957e0000000000d0418f0e9a36245b9a50ec87f8bf5be5bcae434337b87139c3a5b1f56e33cba0",
+ "precomputedUsed": [
+ "hashAmounts",
+ "hashPrevouts",
+ "hashScriptPubkeys",
+ "hashSequences"
+ ],
+ "sigHash": "2514a6272f85cfa0f45eb907fcb0d121b808ed37c6ea160a5a9046ed5526d555"
+ },
+ "expected": {
+ "witness": [
+ "ed7c1647cb97379e76892be0cacff57ec4a7102aa24296ca39af7541246d8ff14d38958d4cc1e2e478e4d4a764bbfd835b16d4e314b72937b29833060b87276c03"
+ ]
+ }
+ },
+ {
+ "given": {
+ "txinIndex": 1,
+ "internalPrivkey": "1e4da49f6aaf4e5cd175fe08a32bb5cb4863d963921255f33d3bc31e1343907f",
+ "merkleRoot": "5b75adecf53548f3ec6ad7d78383bf84cc57b55a3127c72b9a2481752dd88b21",
+ "hashType": 131
+ },
+ "intermediary": {
+ "internalPubkey": "187791b6f712a8ea41c8ecdd0ee77fab3e85263b37e1ec18a3651926b3a6cf27",
+ "tweak": "cbd8679ba636c1110ea247542cfbd964131a6be84f873f7f3b62a777528ed001",
+ "tweakedPrivkey": "ea260c3b10e60f6de018455cd0278f2f5b7e454be1999572789e6a9565d26080",
+ "sigMsg": "0083020000000065cd1d00d7b7cab57b1393ace2d064f4d4a2cb8af6def61273e127517d44759b6dafdd9900000000808f891b00000000225120147c9c57132f6e7ecddba9800bb0c4449251c92a1e60371ee77557b6620f3ea3ffffffffffcef8fb4ca7efc5433f591ecfc57391811ce1e186a3793024def5c884cba51d",
+ "precomputedUsed": [],
+ "sigHash": "325a644af47e8a5a2591cda0ab0723978537318f10e6a63d4eed783b96a71a4d"
+ },
+ "expected": {
+ "witness": [
+ "052aedffc554b41f52b521071793a6b88d6dbca9dba94cf34c83696de0c1ec35ca9c5ed4ab28059bd606a4f3a657eec0bb96661d42921b5f50a95ad33675b54f83"
+ ]
+ }
+ },
+ {
+ "given": {
+ "txinIndex": 3,
+ "internalPrivkey": "d3c7af07da2d54f7a7735d3d0fc4f0a73164db638b2f2f7c43f711f6d4aa7e64",
+ "merkleRoot": "c525714a7f49c28aedbbba78c005931a81c234b2f6c99a73e4d06082adc8bf2b",
+ "hashType": 1
+ },
+ "intermediary": {
+ "internalPubkey": "93478e9488f956df2396be2ce6c5cced75f900dfa18e7dabd2428aae78451820",
+ "tweak": "6af9e28dbf9d6aaf027696e2598a5b3d056f5fd2355a7fd5a37a0e5008132d30",
+ "tweakedPrivkey": "97323385e57015b75b0339a549c56a948eb961555973f0951f555ae6039ef00d",
+ "sigMsg": "0001020000000065cd1de3b33bb4ef3a52ad1fffb555c0d82828eb22737036eaeb02a235d82b909c4c3f58a6964a4f5f8f0b642ded0a8a553be7622a719da71d1f5befcefcdee8e0fde623ad0f61ad2bca5ba6a7693f50fce988e17c3780bf2b1e720cfbb38fbdd52e2118959c7221ab5ce9e26c3cd67b22c24f8baa54bac281d8e6b05e400e6c3a957ea2e6dab7c1f0dcd297c8d61647fd17d821541ea69c3cc37dcbad7f90d4eb4bc50003000000",
+ "precomputedUsed": [
+ "hashAmounts",
+ "hashOutputs",
+ "hashPrevouts",
+ "hashScriptPubkeys",
+ "hashSequences"
+ ],
+ "sigHash": "bf013ea93474aa67815b1b6cc441d23b64fa310911d991e713cd34c7f5d46669"
+ },
+ "expected": {
+ "witness": [
+ "ff45f742a876139946a149ab4d9185574b98dc919d2eb6754f8abaa59d18b025637a3aa043b91817739554f4ed2026cf8022dbd83e351ce1fabc272841d2510a01"
+ ]
+ }
+ },
+ {
+ "given": {
+ "txinIndex": 4,
+ "internalPrivkey": "f36bb07a11e469ce941d16b63b11b9b9120a84d9d87cff2c84a8d4affb438f4e",
+ "merkleRoot": "ccbd66c6f7e8fdab47b3a486f59d28262be857f30d4773f2d5ea47f7761ce0e2",
+ "hashType": 0
+ },
+ "intermediary": {
+ "internalPubkey": "e0dfe2300b0dd746a3f8674dfd4525623639042569d829c7f0eed9602d263e6f",
+ "tweak": "b57bfa183d28eeb6ad688ddaabb265b4a41fbf68e5fed2c72c74de70d5a786f4",
+ "tweakedPrivkey": "a8e7aa924f0d58854185a490e6c41f6efb7b675c0f3331b7f14b549400b4d501",
+ "sigMsg": "0000020000000065cd1de3b33bb4ef3a52ad1fffb555c0d82828eb22737036eaeb02a235d82b909c4c3f58a6964a4f5f8f0b642ded0a8a553be7622a719da71d1f5befcefcdee8e0fde623ad0f61ad2bca5ba6a7693f50fce988e17c3780bf2b1e720cfbb38fbdd52e2118959c7221ab5ce9e26c3cd67b22c24f8baa54bac281d8e6b05e400e6c3a957ea2e6dab7c1f0dcd297c8d61647fd17d821541ea69c3cc37dcbad7f90d4eb4bc50004000000",
+ "precomputedUsed": [
+ "hashAmounts",
+ "hashOutputs",
+ "hashPrevouts",
+ "hashScriptPubkeys",
+ "hashSequences"
+ ],
+ "sigHash": "4f900a0bae3f1446fd48490c2958b5a023228f01661cda3496a11da502a7f7ef"
+ },
+ "expected": {
+ "witness": [
+ "b4010dd48a617db09926f729e79c33ae0b4e94b79f04a1ae93ede6315eb3669de185a17d2b0ac9ee09fd4c64b678a0b61a0a86fa888a273c8511be83bfd6810f"
+ ]
+ }
+ },
+ {
+ "given": {
+ "txinIndex": 6,
+ "internalPrivkey": "415cfe9c15d9cea27d8104d5517c06e9de48e2f986b695e4f5ffebf230e725d8",
+ "merkleRoot": "2f6b2c5397b6d68ca18e09a3f05161668ffe93a988582d55c6f07bd5b3329def",
+ "hashType": 2
+ },
+ "intermediary": {
+ "internalPubkey": "55adf4e8967fbd2e29f20ac896e60c3b0f1d5b0efa9d34941b5958c7b0a0312d",
+ "tweak": "6579138e7976dc13b6a92f7bfd5a2fc7684f5ea42419d43368301470f3b74ed9",
+ "tweakedPrivkey": "241c14f2639d0d7139282aa6abde28dd8a067baa9d633e4e7230287ec2d02901",
+ "sigMsg": "0002020000000065cd1de3b33bb4ef3a52ad1fffb555c0d82828eb22737036eaeb02a235d82b909c4c3f58a6964a4f5f8f0b642ded0a8a553be7622a719da71d1f5befcefcdee8e0fde623ad0f61ad2bca5ba6a7693f50fce988e17c3780bf2b1e720cfbb38fbdd52e2118959c7221ab5ce9e26c3cd67b22c24f8baa54bac281d8e6b05e400e6c3a957e0006000000",
+ "precomputedUsed": [
+ "hashAmounts",
+ "hashPrevouts",
+ "hashScriptPubkeys",
+ "hashSequences"
+ ],
+ "sigHash": "15f25c298eb5cdc7eb1d638dd2d45c97c4c59dcaec6679cfc16ad84f30876b85"
+ },
+ "expected": {
+ "witness": [
+ "a3785919a2ce3c4ce26f298c3d51619bc474ae24014bcdd31328cd8cfbab2eff3395fa0a16fe5f486d12f22a9cedded5ae74feb4bbe5351346508c5405bcfee002"
+ ]
+ }
+ },
+ {
+ "given": {
+ "txinIndex": 7,
+ "internalPrivkey": "c7b0e81f0a9a0b0499e112279d718cca98e79a12e2f137c72ae5b213aad0d103",
+ "merkleRoot": "6c2dc106ab816b73f9d07e3cd1ef2c8c1256f519748e0813e4edd2405d277bef",
+ "hashType": 130
+ },
+ "intermediary": {
+ "internalPubkey": "ee4fe085983462a184015d1f782d6a5f8b9c2b60130aff050ce221ecf3786592",
+ "tweak": "9e0517edc8259bb3359255400b23ca9507f2a91cd1e4250ba068b4eafceba4a9",
+ "tweakedPrivkey": "65b6000cd2bfa6b7cf736767a8955760e62b6649058cbc970b7c0871d786346b",
+ "sigMsg": "0082020000000065cd1d00e9aa6b8e6c9de67619e6a3924ae25696bb7b694bb677a632a74ef7eadfd4eabf00000000804c8b2000000000225120712447206d7a5238acc7ff53fbe94a3b64539ad291c7cdbc490b7577e4b17df5ffffffff",
+ "precomputedUsed": [],
+ "sigHash": "cd292de50313804dabe4685e83f923d2969577191a3e1d2882220dca88cbeb10"
+ },
+ "expected": {
+ "witness": [
+ "ea0c6ba90763c2d3a296ad82ba45881abb4f426b3f87af162dd24d5109edc1cdd11915095ba47c3a9963dc1e6c432939872bc49212fe34c632cd3ab9fed429c482"
+ ]
+ }
+ },
+ {
+ "given": {
+ "txinIndex": 8,
+ "internalPrivkey": "77863416be0d0665e517e1c375fd6f75839544eca553675ef7fdf4949518ebaa",
+ "merkleRoot": "ab179431c28d3b68fb798957faf5497d69c883c6fb1e1cd9f81483d87bac90cc",
+ "hashType": 129
+ },
+ "intermediary": {
+ "internalPubkey": "f9f400803e683727b14f463836e1e78e1c64417638aa066919291a225f0e8dd8",
+ "tweak": "639f0281b7ac49e742cd25b7f188657626da1ad169209078e2761cefd91fd65e",
+ "tweakedPrivkey": "ec18ce6af99f43815db543f47b8af5ff5df3b2cb7315c955aa4a86e8143d2bf5",
+ "sigMsg": "0081020000000065cd1da2e6dab7c1f0dcd297c8d61647fd17d821541ea69c3cc37dcbad7f90d4eb4bc500a778eb6a263dc090464cd125c466b5a99667720b1c110468831d058aa1b82af101000000002b0c230000000022512077e30a5522dd9f894c3f8b8bd4c4b2cf82ca7da8a3ea6a239655c39c050ab220ffffffff",
+ "precomputedUsed": [
+ "hashOutputs"
+ ],
+ "sigHash": "cccb739eca6c13a8a89e6e5cd317ffe55669bbda23f2fd37b0f18755e008edd2"
+ },
+ "expected": {
+ "witness": [
+ "bbc9584a11074e83bc8c6759ec55401f0ae7b03ef290c3139814f545b58a9f8127258000874f44bc46db7646322107d4d86aec8e73b8719a61fff761d75b5dd981"
+ ]
+ }
+ }
+ ],
+ "auxiliary": {
+ "fullySignedTx": "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"
+ }
+ }
+ ]
+}
diff --git a/src/test/data/key_io_invalid.json b/src/test/data/key_io_invalid.json
index 9b52943ac6..abe07dad24 100644
--- a/src/test/data/key_io_invalid.json
+++ b/src/test/data/key_io_invalid.json
@@ -6,177 +6,207 @@
"x"
],
[
- "37qgekLpCCHrQuSjvX3fs496FWTGsHFHizjJAs6NPcR47aefnnCWECAhHV6E3g4YN7u7Yuwod5Y"
+ "2v7k5Bb8Lr1MMgTgW6HAf5YHXi6BzpPjHpQ4srD4RSwHYpzXKiXmLAgiLhkXvp3JF5v7nq45EWr"
],
[
- "dzb7VV1Ui55BARxv7ATxAtCUeJsANKovDGWFVgpTbhq9gvPqP3yv"
+ "RAZzCGtMbiUgMiiyrZySrSpdfnQReFXA3r"
],
[
- "MuNu7ZAEDFiHthiunm7dPjwKqrVNCM3mAz6rP9zFveQu14YA8CxExSJTHcVP9DErn6u84E6Ej7S"
+ "NYamy7tcPQTzoU5iyQojD3sqhiz7zxkvn8"
],
[
- "rPpQpYknyNQ5AEHuY6H8ijJJrYc2nDKKk9jjmKEXsWzyAQcFGpDLU2Zvsmoi8JLR7hAwoy3RQWf"
+ "geaFG555Ex5nyRf7JjW6Pj2GwZA8KYxtJJLbr1eZhVW75STbYBZeRszy3wg4pkKdF4ez9J4wQiz"
],
[
- "4Uc3FmN6NQ6zLBK5QQBXRBUREaaHwCZYsGCueHauuDmJpZKn6jkEskMB2Zi2CNgtb5r6epWEFfUJq"
+ "2Cxmid3c2XQ2zvQ8SA1ha2TKqvqbJS9XFmXRsCneBS3Po7Qqb65z5zNdsoF9AfieXFcpoVPmkmfa"
],
[
- "7aQgR5DFQ25vyXmqZAWmnVCjL3PkBcdVkBUpjrjMTcghHx3E8wb"
+ "gaJ7UVge2njVg9tFTetJrtHgruMm7aQDiSAxfHrVEgzK8N2ooagDVmDkdph434xzc4K96Gjyxcs"
],
[
- "17QpPprjeg69fW1DV8DcYYCKvWjYhXvWkov6MJ1iTTvMFj6weAqW7wybZeH57WTNxXVCRH4veVs"
+ "5JN5BEVQPZ3tAiatz1RGXkrJuE3EC6bervMaPb38wTNgEuZCeqp"
],
[
- "KxuACDviz8Xvpn1xAh9MfopySZNuyajYMZWz16Dv2mHHryznWUp3"
+ "3TnFbyUtBRS5rE1KTW81qLVspjJNaB3uu6uuvLjxhZo2DB6PCGh"
],
[
- "7nK3GSmqdXJQtdohvGfJ7KsSmn3TmGqExug49583bDAL91pVSGq5xS9SHoAYL3Wv3ijKTit65th"
+ "7UgSZGaMaTc4d2mdEgcGBFiMeS6eMsithGUqvBsKTQdGzD7XQDbMEYo3gojdbXEPbUdFF3CQoK72f"
],
[
- "cTivdBmq7bay3RFGEBBuNfMh2P1pDCgRYN2Wbxmgwr4ki3jNUL2va"
+ "9261wfqQqruNDnBDhbbb4tN9oKA1KpRFHeoYeufyJApVGixyAG4V"
],
[
- "gjMV4vjNjyMrna4fsAr8bWxAbwtmMUBXJS3zL4NJt5qjozpbQLmAfK1uA3CquSqsZQMpoD1g2nk"
+ "cS824CTUh18scFmYuqt6BgxuRhdR4dEEnCHs3fzBbcyQgbfasHbw"
],
[
- "emXm1naBMoVzPjbk7xpeTVMFy4oDEe25UmoyGgKEB1gGWsK8kRGs"
+ "tc1q0ywf7wkz6t580n3yemd3ucfw8jxn93tpc6wskt"
],
[
- "7VThQnNRj1o3Zyvc7XHPRrjDf8j2oivPTeDXnRPYWeYGE4pXeRJDZgf28ppti5hsHWXS2GSobdqyo"
+ "bt1pxeeuh96wpm5c6u3kavts2qgwlv6y8um7u7ga6ltlwrhrv7w9vers8lgt3k"
],
[
- "1G9u6oCVCPh2o8m3t55ACiYvG1y5BHewUkDSdiQarDcYXXhFHYdzMdYfUAhfxn5vNZBwpgUNpso"
+ "tb130lvl2lyugsk2tf3zhwcjjv39dmwt2tt7ytqaexy8edwcuwks6p5scll5kz"
],
[
- "31QQ7ZMLkScDiB4VyZjuptr7AEc9j1SjstF7pRoLhHTGkW4Q2y9XELobQmhhWxeRvqcukGd1XCq"
+ "bcrt1rhsveeudk"
],
[
- "DHqKSnpxa8ZdQyH8keAhvLTrfkyBMQxqngcQA5N8LQ9KVt25kmGN"
+ "bc10rmfwl8nxdweeyc4sf89t0tn9fv9w6qpyzsnl2r4k48vjqh03qas9asdje0rlr0phru0wqw0p"
],
[
- "2LUHcJPbwLCy9GLH1qXmfmAwvadWw4bp4PCpDfduLqV17s6iDcy1imUwhQJhAoNoN1XNmweiJP4i"
+ "tb1qjqnfsuatr54e957xzg9sqk7yqcry9lns"
],
[
- "7USRzBXAnmck8fX9HmW7RAb4qt92VFX6soCnts9s74wxm4gguVhtG5of8fZGbNPJA83irHVY6bCos"
+ "bcrt1q8p08mv8echkf3es027u4cdswxlylm3th76ls8v6y4zy4vwsavngpr4e4td"
],
[
- "1DGezo7BfVebZxAbNT3XGujdeHyNNBF3vnficYoTSp4PfK2QaML9bHzAMxke3wdKdHYWmsMTJVu"
+ "BC1QNC2H66VLWTWTW52DP0FYUSNU3QQG5VT4V"
],
[
- "2D12DqDZKwCxxkzs1ZATJWvgJGhQ4cFi3WrizQ5zLAyhN5HxuAJ1yMYaJp8GuYsTLLxTAz6otCfb"
+ "tb1qgk665m2auw09rc7pqyf7aulcuhmatz9xqtr5mxew7zuysacaascqs9v0vn"
],
[
- "8AFJzuTujXjw1Z6M3fWhQ1ujDW7zsV4ePeVjVo7D1egERqSW9nZ"
+ "bcrt17CAPP7"
],
[
- "163Q17qLbTCue8YY3AvjpUhotuaodLm2uqMhpYirsKjVqnxJRWTEoywMVY3NbBAHuhAJ2cF9GAZ"
+ "bc1qxmf2d6aerjzam3rur0zufqxqnyqfts5u302s7x"
],
[
- "2MnmgiRH4eGLyLc9eAqStzk7dFgBjFtUCtu"
+ "tb1qn8x5dnzpexq7nnvrvnhwr9c3wkakpcyu9wwsjzq9pstkwg0t6qhs4l3rv6"
],
[
- "461QQ2sYWxU7H2PV4oBwJGNch8XVTYYbZxU"
+ "BCRT1Q397G2RNVYRL5LK07CE8NCKHVKP8Z4SC9U0MVH9"
],
[
- "2UCtv53VttmQYkVU4VMtXB31REvQg4ABzs41AEKZ8UcB7DAfVzdkV9JDErwGwyj5AUHLkmgZeobs"
+ "bc1pgxwyajq0gdn389f69uwn2fw9q0z5c9s063j5dgkdd23ajaud4hpsercr9h"
],
[
- "cSNjAsnhgtiFMi6MtfvgscMB2Cbhn2v1FUYfviJ1CdjfidvmeW6mn"
+ "tb1z6mnmp5k542l6yk4ul0mp4rq3yvz44lfm"
],
[
- "gmsow2Y6EWAFDFE1CE4Hd3Tpu2BvfmBfG1SXsuRARbnt1WjkZnFh1qGTiptWWbjsq2Q6qvpgJVj"
+ "bcrt17capp7"
],
[
- "nksUKSkzS76v8EsSgozXGMoQFiCoCHzCVajFKAXqzK5on9ZJYVHMD5CKwgmX3S3c7M1U3xabUny"
+ "2D2bqvKseKHdoKjCNvjVULUgmxHu9hjKGwDbPRjTRH59tsHNLeyKwq3vyVBbo9LByY9wiapqjwFY"
],
[
- "L3favK1UzFGgdzYBF2oBT5tbayCo4vtVBLJhg2iYuMeePxWG8SQc"
+ "2SSjAim4wZpeQRe5zTj1qqS6Li9ttJDaZ3ze"
],
[
- "7VxLxGGtYT6N99GdEfi6xz56xdQ8nP2dG1CavuXx7Rf2PrvNMTBNevjkfgs9JmkcGm6EXpj8ipyPZ"
+ "mi9H6MjLwXxy9kxe1x4ToxyLRBsmcZxgVi"
],
[
- "2mbZwFXF6cxShaCo2czTRB62WTx9LxhTtpP"
+ "VciXoxEitcn88jy197J9n9cpJ1pZahzU3SyWUiHqLgcfjttLEEJz"
],
[
- "dB7cwYdcPSgiyAwKWL3JwCVwSk6epU2txw"
+ "KppmwADGoExPT9Eq5hjRWpWFDbzJyfzHFgsfxBiDHNpVBgWPRNuy"
],
[
- "HPhFUhUAh8ZQQisH8QQWafAxtQYju3SFTX"
+ "TN7EQXMxKffzvHo54yHHu9R4ks9f5gWBW3MMVf5k72zAqrgVK9ys"
],
[
- "4ctAH6AkHzq5ioiM1m9T3E2hiYEev5mTsB"
+ "92dbrMEYzP5dD5UhQ6maNkCQ4GLG42BM4Gc6XKZzSSMSfosfkkcB"
],
[
- "Hn1uFi4dNexWrqARpjMqgT6cX1UsNPuV3cHdGg9ExyXw8HTKadbktRDtdeVmY3M1BxJStiL4vjJ"
+ "J7VQxPxyzuWEkRstQWpCz2AgysEz1APgnWCEQrFvkN3umAnCrhQF"
],
[
- "Sq3fDbvutABmnAHHExJDgPLQn44KnNC7UsXuT7KZecpaYDMU9Txs"
+ "tc1qymllj6c96v5qj2504y27ldtner6eh8ldx38t83"
],
[
- "6TqWyrqdgUEYDQU1aChMuFMMEimHX44qHFzCUgGfqxGgZNMUVWJ"
+ "bt1flep4g"
],
[
- "giqJo7oWqFxNKWyrgcBxAVHXnjJ1t6cGoEffce5Y1y7u649Noj5wJ4mmiUAKEVVrYAGg2KPB3Y4"
+ "tb13c553hwygcgj48qwmr9f8q0hgdcfklyaye5sxzcpcjnmxv4z506xs90tchn"
],
[
- "cNzHY5e8vcmM3QVJUcjCyiKMYfeYvyueq5qCMV3kqcySoLyGLYUK"
+ "bcrt1tyddyu"
],
[
- "37uTe568EYc9WLoHEd9jXEvUiWbq5LFLscNyqvAzLU5vBArUJA6eydkLmnMwJDjkL5kXc2VK7ig"
+ "bc10qssq2mknjqf0glwe2f3587wc4jysvs3f8s6chysae6hcl6fxzdm4wxyyscrl5k9f5qmnf05a"
],
[
- "EsYbG4tWWWY45G31nox838qNdzksbPySWc"
+ "tb1q425lmgvxdgtyl2m6xuu2pc354y4fvgg8"
],
[
- "nbuzhfwMoNzA3PaFnyLcRxE9bTJPDkjZ6Rf6Y6o2ckXZfzZzXBT"
+ "bcrt1q9wp8e5d2u3u4g0pll0cy7smeeuqezdun9xl439n3p2gg4fvgfvk3hu52hj"
],
[
- "cQN9PoxZeCWK1x56xnz6QYAsvR11XAce3Ehp3gMUdfSQ53Y2mPzx"
+ "bc1qrz5acazpue8vl4zsaxn8fxtmeuqmyjkq3"
],
[
- "1Gm3N3rkef6iMbx4voBzaxtXcmmiMTqZPhcuAepRzYUJQW4qRpEnHvMojzof42hjFRf8PE2jPde"
+ "tb1qkeuglpgmnex9tv3fr7htzfrh3rwrk23r52rx9halxzmv9fr85lwq0fwhmp"
],
[
- "2TAq2tuN6x6m233bpT7yqdYQPELdTDJn1eU"
+ "bcrt1qd0t2wrhl7s57z99rsyaekpq0dyjcQRSSmz80r4"
],
[
- "ntEtnnGhqPii4joABvBtSEJG6BxjT2tUZqE8PcVYgk3RHpgxgHDCQxNbLJf7ardf1dDk2oCQ7Cf"
+ "BC1QXLFDUCGX90T3E53PQCNKJ2PK25MSF3VLPMVY6T"
],
[
- "Ky1YjoZNgQ196HJV3HpdkecfhRBmRZdMJk89Hi5KGfpfPwS2bUbfd"
+ "tb1qmycg4zszgnk34vaurx3cu8wpvteg9h40yq6cp52gt26gjel03t3su3x3xu"
],
[
- "2A1q1YsMZowabbvta7kTy2Fd6qN4r5ZCeG3qLpvZBMzCixMUdkN2Y4dHB1wPsZAeVXUGD83MfRED"
+ "bcrt1q9hy58r4fnuxqzdqndpmq9pptc9nt2dw3rczf5e"
],
[
- "tc1qw508d6qejxtdg4y5r3zarvary0c5xw7kg3g4ty"
+ "BC1PA7682NAY6JQSLUWAJYTC0ERWTMW7A4RPWLNTUS32LCXWLHVKKKTQ2UL8CG"
],
[
- "bc1qw508d6qejxtdg4y5r3zarvary0c5xw7kv8f3t5"
+ "tb1z850dpxnwz2fzae5h2myatj4yvu6rq5xq"
],
[
- "BC13W508D6QEJXTDG4Y5R3ZARVARY0C5XW7KN40WF2"
+ "bcrt1sp525pzjsmpqvcrawjreww36e9keg876skjvpwt"
],
[
- "bc1rw5uspcuh"
+ "xcAvW5jurCpzSpLxBKEhCewCgwwuGhqJnC"
],
[
- "bc10w508d6qejxtdg4y5r3zarvary0c5xw7kw508d6qejxtdg4y5r3zarvary0c5xw7kw5rljs90"
+ "2Cvv8yp9kXbQt8EKh6Yma95yJ1uwYF9YKXuVhGJyu3dHGVsb2AVpTC62TFACZZ3KDNrALxR2CVNs"
],
[
- "BC1QR508D6QEJXTDG4Y5R3ZARVARYV98GJ9P"
+ "niUuL46hCuEVvkAzZKHvD746qbmLmzip9Pv3F6UZV14JxzEXBnTkVxCT4URapChJG6qAEgsZs6G"
],
[
- "tb1qrp33g0q5c5txsp9arysrx4k6zdkfs4nce4xj0gdcccefvpysxf3q0sL5k7"
+ "2UHHgGfiipzvB8Eumnmvq6SowvrMJimjT3NwwG1839XEiUfwtpSdkUrseNsQuagXv21ce7aZu6yo"
],
[
- "bc1zw508d6qejxtdg4y5r3zarvaryvqyzf3du"
+ "8u9djKu4u6o3bsgeR4BKNnLK3akpo64FYzDAmA9239wKeshgF97"
],
[
- "tb1qrp33g0q5c5txsp9arysrx4k6zdkfs4nce4xj0gdcccefvpysxf3pjxtptv"
+ "TC1QPAARXSLVMXHVRR0474LZXQYZWLGFZYPSFVL9E4"
],
[
- "bc1gmk9yu"
+ "bt1pakek0n2267t9yaksxaczgr2syhv9y3xkx0wnsdwchfa6xkmjtvuqg3kgyr"
+ ],
+ [
+ "tb13h83rtwq62udrhwpn87uely7cyxcjrj0azz6a4r3n9s87x5uj98ys6ufp83"
+ ],
+ [
+ "bcrt1rk5vw5qf2"
+ ],
+ [
+ "bc10d3rmtg62h747en5j6fju5g5qyvsransrkty6ghh96pu647wumctejlsngh9pf26cysrys2x2"
+ ],
+ [
+ "tb1qajuy2cdwqgmrzc7la85al5cwcq374tsp"
+ ],
+ [
+ "bcrt1q3udxvj6x20chqh723mn064mzz65yr56ef00xk8czvu3jnx04ydapzk02s5"
+ ],
+ [
+ "bc1qule2szwzyaq4qy0s3aa4mauucyqt6fewe"
+ ],
+ [
+ "tb1ql0qny5vg9gh5tyzke6dw36px5ulkrp24x53x0pl2t5lpwrtejw3s2seej2"
+ ],
+ [
+ "bcrt17CAPP7"
+ ],
+ [
+ "bc1qtvm6davyf725wfedc2d5mrgfewqgcrce8gjrpl"
+ ],
+ [
+ "tb1q5acjgtqrrw3an0dzavxxxzlex8k7aukjzjk9v2u4rmfdqxjphcyq7ge97e"
]
]
diff --git a/src/test/data/key_io_valid.json b/src/test/data/key_io_valid.json
index 8418a6002d..5dee44c04b 100644
--- a/src/test/data/key_io_valid.json
+++ b/src/test/data/key_io_valid.json
@@ -1,533 +1,610 @@
[
[
- "1AGNa15ZQXAZUgFiqJ2i7Z2DPU2J6hW62i",
- "76a91465a16059864a2fdbc7c99a4723a8395bc6f188eb88ac",
+ "1BShJZ8A5q53oJJfMJoEF1gfZCWdZqZwwD",
+ "76a914728d4cc27d19707b0197cfcd7c412d43287864b588ac",
{
- "isPrivkey": false,
- "chain": "main"
+ "chain": "main",
+ "isPrivkey": false
}
],
[
- "3CMNFxN1oHBc4R1EpboAL5yzHGgE611Xou",
- "a91474f209f6ea907e2ea48f74fae05782ae8a66525787",
+ "3L1YkZjdeNSqaZcNKZFXQfyokx3zVYm7r6",
+ "a914c8f37c3cc21561296ad81f4bec6b5de10ebc185187",
{
- "isPrivkey": false,
- "chain": "main"
+ "chain": "main",
+ "isPrivkey": false
}
],
[
- "mo9ncXisMeAoXwqcV5EWuyncbmCcQN4rVs",
- "76a91453c0307d6851aa0ce7825ba883c6bd9ad242b48688ac",
+ "mhJuoGLgnJC8gdBgBzEigsoyG4omQXejPT",
+ "76a91413a92d1998e081354d36c13ce0c9dc04b865d40a88ac",
{
- "isPrivkey": false,
- "chain": "test"
+ "chain": "test",
+ "isPrivkey": false
}
],
[
- "mo9ncXisMeAoXwqcV5EWuyncbmCcQN4rVs",
- "76a91453c0307d6851aa0ce7825ba883c6bd9ad242b48688ac",
+ "2N5VpzKEuYvZJbmg6eUNGnfrrD1ir92FWGu",
+ "a91486648cc2faaf05660e72c04c7a837bcc3e986f1787",
{
- "isPrivkey": false,
- "chain": "regtest"
+ "chain": "test",
+ "isPrivkey": false
}
],
[
- "2N2JD6wb56AfK4tfmM6PwdVmoYk2dCKf4Br",
- "a9146349a418fc4578d10a372b54b45c280cc8c4382f87",
+ "mtQueCtmAnP3E4aBHXCiFNEQAuPaLMuQNy",
+ "76a9148d74ecd86c845baf9c6d4484d2d00e731b79e34788ac",
{
- "isPrivkey": false,
- "chain": "test"
+ "chain": "signet",
+ "isPrivkey": false
+ }
+ ],
+ [
+ "2NEvWRTHjh89gV52fkperFtwzoFWQiQmiCh",
+ "a914edc895152c67ccff0ba620bcc373b789ec68266f87",
+ {
+ "chain": "signet",
+ "isPrivkey": false
}
],
[
- "5Kd3NBUAdUnhyzenEwVLy9pBKxSwXvE9FMPyR4UKZvpe6E3AgLr",
- "eddbdc1168f1daeadbd3e44c1e3f8f5a284c2029f78ad26af98583a499de5b19",
+ "mngdx94qJFhSf7A7SAEgQSC9fQJuapujJp",
+ "76a9144e9dba545455a80ce94c343d1cac9dec62cbf22288ac",
{
+ "chain": "regtest",
+ "isPrivkey": false
+ }
+ ],
+ [
+ "2NBzRN3pV56k3JUvSHifaHyzjGHv7ZS9FZZ",
+ "a914cd9da5642451273e5b6d088854cc1fad4a8d442187",
+ {
+ "chain": "regtest",
+ "isPrivkey": false
+ }
+ ],
+ [
+ "5KcrFZvJ2p4dM6QVUPu53cKXcCfozA1PJLHm1mNAxkDYhgThLu4",
+ "ed6c796e2f62377410766214f55aa81ac9a6590ad7ed57c509c983bf648409ac",
+ {
+ "chain": "main",
"isCompressed": false,
- "isPrivkey": true,
- "chain": "main"
+ "isPrivkey": true
}
],
[
- "Kz6UJmQACJmLtaQj5A3JAge4kVTNQ8gbvXuwbmCj7bsaabudb3RD",
- "55c9bccb9ed68446d1b75273bbce89d7fe013a8acd1625514420fb2aca1a21c4",
+ "L195WBrf2G3nCnun4CLxrb8XKk9LbCqH43THh4n4QrL5SzRzpq9j",
+ "74f76c106e38d20514a99a86e4fe3bb28319e7dd2ad21dbc170cbb516a5358fa",
{
+ "chain": "main",
"isCompressed": true,
- "isPrivkey": true,
- "chain": "main"
+ "isPrivkey": true
}
],
[
- "9213qJab2HNEpMpYNBa7wHGFKKbkDn24jpANDs2huN3yi4J11ko",
- "36cb93b9ab1bdabf7fb9f2c04f1b9cc879933530ae7842398eef5a63a56800c2",
+ "92z6HnMQR4tWqjfVA3UaUN5EuUMgoVMdCa5rZFYZfmgyD7wxYCw",
+ "b8511e1d74549e305517d48a1d394d1be2cfa5d0f3c0d83f9f450316ffa01276",
{
+ "chain": "test",
"isCompressed": false,
- "isPrivkey": true,
- "chain": "test"
+ "isPrivkey": true
}
],
[
- "9213qJab2HNEpMpYNBa7wHGFKKbkDn24jpANDs2huN3yi4J11ko",
- "36cb93b9ab1bdabf7fb9f2c04f1b9cc879933530ae7842398eef5a63a56800c2",
+ "cTPnaF52x4w4Tq6afPxRHux3wbYb86thS7S45A7r3oZc1AHTQ6Qm",
+ "ad68c48d337181da125de9061933ececcdf7d917631af7d34f7e38082bff9a11",
{
+ "chain": "test",
+ "isCompressed": true,
+ "isPrivkey": true
+ }
+ ],
+ [
+ "924U35yFcYkxe2JXGmuhSRVaShGyhRDZx1ysPmw1sAHuszGMoxq",
+ "3e8dfaf78d4f02b11d0b645648a4f3080d71d0d068979c47f7255c9a29eee01d",
+ {
+ "chain": "signet",
"isCompressed": false,
- "isPrivkey": true,
- "chain": "regtest"
+ "isPrivkey": true
}
],
[
- "cTpB4YiyKiBcPxnefsDpbnDxFDffjqJob8wGCEDXxgQ7zQoMXJdH",
- "b9f4892c9e8282028fea1d2667c4dc5213564d41fc5783896a0d843fc15089f3",
+ "cRy1qCf2LUesGPQagTkYwk2V3PyN2KCPKgxeg6k6KoJPzH7nrVjw",
+ "82d4187690d6b59bcffda27dae52f2ecb87313cfc0904e0b674a27d906a65fde",
{
+ "chain": "signet",
"isCompressed": true,
- "isPrivkey": true,
- "chain": "test"
+ "isPrivkey": true
}
],
[
- "cTpB4YiyKiBcPxnefsDpbnDxFDffjqJob8wGCEDXxgQ7zQoMXJdH",
- "b9f4892c9e8282028fea1d2667c4dc5213564d41fc5783896a0d843fc15089f3",
+ "932NTcHK35Apf2C3K9Zv1ZdeZEmB1x7ZT2Ju3SjoEY6pUgUpT7H",
+ "bd7dba24df9e003e145ae9b4862776413a0bb6fa5b4e42753397f2d9536e58a9",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "regtest"
+ "chain": "regtest",
+ "isCompressed": false,
+ "isPrivkey": true
}
],
[
- "1Ax4gZtb7gAit2TivwejZHYtNNLT18PUXJ",
- "76a9146d23156cbbdcc82a5a47eee4c2c7c583c18b6bf488ac",
+ "cNa75orYQ2oos52zCnMaS5PG6XbNZKc5LpGxTHacrxwWeX4WAK3E",
+ "1d87e3c58b08766fea03598380ec8d59f8c88d5392bf683ab1088bd4caf073ee",
{
- "isPrivkey": false,
- "chain": "main"
+ "chain": "regtest",
+ "isCompressed": true,
+ "isPrivkey": true
}
],
[
- "3QjYXhTkvuj8qPaXHTTWb5wjXhdsLAAWVy",
- "a914fcc5460dd6e2487c7d75b1963625da0e8f4c597587",
+ "bc1q5cuatynjmk4szh40mmunszfzh7zrc5xm9w8ccy",
+ "0014a639d59272ddab015eafdef9380922bf843c50db",
{
+ "chain": "main",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "n3ZddxzLvAY9o7184TB4c6FJasAybsw4HZ",
- "76a914f1d470f9b02370fdec2e6b708b08ac431bf7a5f788ac",
+ "bc1qkw7lz3ahms6e0ajv27mzh7g62tchjpmve4afc29u7w49tddydy2syv0087",
+ "0020b3bdf147b7dc3597f64c57b62bf91a52f179076ccd7a9c28bcf3aa55b5a46915",
{
+ "chain": "main",
"isPrivkey": false,
- "chain": "test"
+ "tryCaseFlip": true
}
],
[
- "2NBFNJTktNa7GZusGbDbGKRZTxdK9VVez3n",
- "a914c579342c2c4c9220205e2cdc285617040c924a0a87",
+ "bc1p5rgvqejqh9dh37t9g94dd9cm8vtqns7dndgj423egwggsggcdzmsspvr7j",
+ "5120a0d0c06640b95b78f965416ad6971b3b1609c3cd9b512aaa39439088211868b7",
{
+ "chain": "main",
"isPrivkey": false,
- "chain": "test"
+ "tryCaseFlip": true
}
],
[
- "5K494XZwps2bGyeL71pWid4noiSNA2cfCibrvRWqcHSptoFn7rc",
- "a326b95ebae30164217d7a7f57d72ab2b54e3be64928a19da0210b9568d4015e",
+ "bc1zr4pq63udck",
+ "52021d42",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "main",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "L1RrrnXkcKut5DEMwtDthjwRcTTwED36thyL1DebVrKuwvohjMNi",
- "7d998b45c219a1e38e99e7cbd312ef67f77a455a9b50c730c27f02c6f730dfb4",
+ "tb1q74fxwnvhsue0l8wremgq66xzvn48jlc5zthsvz",
+ "0014f552674d978732ff9dc3ced00d68c264ea797f14",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "test",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "93DVKyFYwSN6wEo3E2fCrFPUp17FtrtNi2Lf7n4G3garFb16CRj",
- "d6bca256b5abc5602ec2e1c121a08b0da2556587430bcf7e1898af2224885203",
+ "tb1qpt7cqgq8ukv92dcraun9c3n0s3aswrt62vtv8nqmkfpa2tjfghesv9ln74",
+ "00200afd802007e598553703ef265c466f847b070d7a5316c3cc1bb243d52e4945f3",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "test",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "cTDVKtMGVYWTHCb1AFjmVbEbWjvKpKqKgMaR3QJxToMSQAhmCeTN",
- "a81ca4e8f90181ec4b61b6a7eb998af17b2cb04de8a03b504b9e34c4c61db7d9",
+ "tb1ph9v3e8nxct57hknlkhkz75p5pnxnkn05cw8ewpxu6tek56g29xgqydzfu7",
+ "5120b9591c9e66c2e9ebda7fb5ec2f50340ccd3b4df4c38f9704dcd2f36a690a2990",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "test",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "1C5bSj1iEGUgSTbziymG7Cn18ENQuT36vv",
- "76a9147987ccaa53d02c8873487ef919677cd3db7a691288ac",
+ "tb1ray6e8gxfx49ers6c4c70l3c8lsxtcmlx",
+ "5310e93593a0c9354b91c358ae3cffc707fc",
{
+ "chain": "test",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "3AnNxabYGoTxYiTEZwFEnerUoeFXK2Zoks",
- "a91463bcc565f9e68ee0189dd5cc67f1b0e5f02f45cb87",
+ "tb1q0sqzfp3zj42u0perxr6jahhu4y03uw4dypk6sc",
+ "00147c002486229555c7872330f52edefca91f1e3aad",
{
+ "chain": "signet",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "n3LnJXCqbPjghuVs8ph9CYsAe4Sh4j97wk",
- "76a914ef66444b5b17f14e8fae6e7e19b045a78c54fd7988ac",
+ "tb1q9jv4qnawnuevqaeadn47gkq05ev78m4qg3zqejykdr9u0cm7yutq6gu5dj",
+ "00202c99504fae9f32c0773d6cebe4580fa659e3eea044440cc89668cbc7e37e2716",
{
+ "chain": "signet",
"isPrivkey": false,
- "chain": "test"
+ "tryCaseFlip": true
}
],
[
- "2NB72XtkjpnATMggui83aEtPawyyKvnbX2o",
- "a914c3e55fceceaa4391ed2a9677f4a4d34eacd021a087",
+ "tb1pxqf7d825wjtcftj7uep8w24jq3tz8vudfaqj20rns8ahqya56gcs92eqtu",
+ "51203013e69d54749784ae5ee642772ab2045623b38d4f41253c7381fb7013b4d231",
{
+ "chain": "signet",
"isPrivkey": false,
- "chain": "test"
+ "tryCaseFlip": true
}
],
[
- "5KaBW9vNtWNhc3ZEDyNCiXLPdVPHCikRxSBWwV9NrpLLa4LsXi9",
- "e75d936d56377f432f404aabb406601f892fd49da90eb6ac558a733c93b47252",
+ "tb1rsrzkyvu2rt0dcgexajtazlw5nft4j7494ay396q6auw9375wxsrsgag884",
+ "532080c562338a1adedc2326ec97d17dd49a57597aa5af4912e81aef1c58fa8e3407",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "signet",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "L1axzbSyynNYA8mCAhzxkipKkfHtAXYF4YQnhSKcLV8YXA874fgT",
- "8248bd0375f2f75d7e274ae544fb920f51784480866b102384190b1addfbaa5c",
+ "bcrt1qwf52dt9y2sv0f7fwkcpmtfjf74d4np2saeljt6",
+ "00147268a6aca45418f4f92eb603b5a649f55b598550",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "regtest",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "927CnUkUbasYtDwYwVn2j8GdTuACNnKkjZ1rpZd2yBB1CLcnXpo",
- "44c4f6a096eac5238291a94cc24c01e3b19b8d8cef72874a079e00a242237a52",
+ "bcrt1q0lma84unycxl4n96etffthqlf7y5axyp4fxf64kmhymvw8l6pwfs39futd",
+ "00207ff7d3d793260dfaccbacad295dc1f4f894e9881aa4c9d56dbb936c71ffa0b93",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "regtest",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "cUcfCMRjiQf85YMzzQEk9d1s5A4K7xL5SmBCLrezqXFuTVefyhY7",
- "d1de707020a9059d6d3abaf85e17967c6555151143db13dbb06db78df0f15c69",
+ "bcrt1p3xat2ryucc2v0adrktqnavfzttvezrr27ngltsa2726p2ehvxz4se722v2",
+ "512089bab50c9cc614c7f5a3b2c13eb1225ad9910c6af4d1f5c3aaf2b41566ec30ab",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "regtest",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "1Gqk4Tv79P91Cc1STQtU3s1W6277M2CVWu",
- "76a914adc1cc2081a27206fae25792f28bbc55b831549d88ac",
+ "bcrt1saflydw6e26xhp29euhy5jke5jjqyywk3wvtc9ulgw9dvxyuqy9hdnxthyw755c7ldavy7u",
+ "6028ea7e46bb59568d70a8b9e5c9495b349480423ad1731782f3e8715ac31380216ed9997723bd4a63df",
{
+ "chain": "regtest",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "33vt8ViH5jsr115AGkW6cEmEz9MpvJSwDk",
- "a914188f91a931947eddd7432d6e614387e32b24470987",
+ "16y3Q1XVRZqMR9T1XL1FkvNtD2E1bXBuYa",
+ "76a9144171ec673aeb9fcf42af6094a3c82207e3b9a78188ac",
{
- "isPrivkey": false,
- "chain": "main"
+ "chain": "main",
+ "isPrivkey": false
}
],
[
- "mhaMcBxNh5cqXm4aTQ6EcVbKtfL6LGyK2H",
- "76a9141694f5bc1a7295b600f40018a618a6ea48eeb49888ac",
+ "3CmZZnAiHVQgiAKSakf864oJMxN2BP1eLC",
+ "a914798575fc1041b9440c4e63c28e57e597d00b7e4387",
{
- "isPrivkey": false,
- "chain": "test"
+ "chain": "main",
+ "isPrivkey": false
}
],
[
- "2MxgPqX1iThW3oZVk9KoFcE5M4JpiETssVN",
- "a9143b9b3fd7a50d4f08d1a5b0f62f644fa7115ae2f387",
+ "mtCB3SoBo7EYUv8j54kUubGY4x3aJPY8nk",
+ "76a9148b0c5f9ee714e0d1d24642ad63d9d5f398d9b56588ac",
{
- "isPrivkey": false,
- "chain": "test"
+ "chain": "test",
+ "isPrivkey": false
}
],
[
- "5HtH6GdcwCJA4ggWEL1B3jzBBUB8HPiBi9SBc5h9i4Wk4PSeApR",
- "091035445ef105fa1bb125eccfb1882f3fe69592265956ade751fd095033d8d0",
+ "2N5ymzzKpx6EdUR4UdMZ7t9hcuwqtpHwgw5",
+ "a9148badb3c3b5c0d39f906f7618e0018b7eae4baf7387",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "test",
+ "isPrivkey": false
}
],
[
- "L2xSYmMeVo3Zek3ZTsv9xUrXVAmrWxJ8Ua4cw8pkfbQhcEFhkXT8",
- "ab2b4bcdfc91d34dee0ae2a8c6b6668dadaeb3a88b9859743156f462325187af",
+ "myXnpYbub28zgiJupDdZSWZtDbjcyfJVby",
+ "76a914c59ac57661b57daadd7c0caf7318c14f54c6c0fa88ac",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "signet",
+ "isPrivkey": false
}
],
[
- "92xFEve1Z9N8Z641KQQS7ByCSb8kGjsDzw6fAmjHN1LZGKQXyMq",
- "b4204389cef18bbe2b353623cbf93e8678fbc92a475b664ae98ed594e6cf0856",
+ "2MtLg8jS5jSXm9evMzTtvpLjy26dBmjFEoT",
+ "a9140c0007e89cea625d3bf9543baa5a470bb7e5b67287",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "signet",
+ "isPrivkey": false
}
],
[
- "92xFEve1Z9N8Z641KQQS7ByCSb8kGjsDzw6fAmjHN1LZGKQXyMq",
- "b4204389cef18bbe2b353623cbf93e8678fbc92a475b664ae98ed594e6cf0856",
+ "mzCyqdf2UNGdpgkD9NBgLcxdwXRg1i9buY",
+ "76a914cd04311bdd1ef9c5c24e41930e032aade82a863a88ac",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "regtest"
+ "chain": "regtest",
+ "isPrivkey": false
}
],
[
- "cVM65tdYu1YK37tNoAyGoJTR13VBYFva1vg9FLuPAsJijGvG6NEA",
- "e7b230133f1b5489843260236b06edca25f66adb1be455fbd38d4010d48faeef",
+ "2N3zGiwFku2vQjYnAqXv5Qu2ztfYRhh7tbF",
+ "a91475d56d75c88e704d6c72fbe84ac1505abf736b4087",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "regtest",
+ "isPrivkey": false
}
],
[
- "1JwMWBVLtiqtscbaRHai4pqHokhFCbtoB4",
- "76a914c4c1b72491ede1eedaca00618407ee0b772cad0d88ac",
+ "5JUHCgyxNSHg64wwju72eNsG6ajqo4Z2fHHw9iLDLfh69rSiL7w",
+ "5644d06d88855dacf3192a31df8f4acd8e4c155c52a86d2c1fa48303f5cff053",
{
- "isPrivkey": false,
- "chain": "main"
+ "chain": "main",
+ "isCompressed": false,
+ "isPrivkey": true
}
],
[
- "3QCzvfL4ZRvmJFiWWBVwxfdaNBT8EtxB5y",
- "a914f6fe69bcb548a829cce4c57bf6fff8af3a5981f987",
+ "L2kZaexG69VSriMe9T2m1jkS86iPe3xNbjcdfakRC1PHe7ay78Ji",
+ "a50ee94aefcabf5a5d7c85be5b3844dee03c5604861dbfc77fe388c91e5a30f8",
{
- "isPrivkey": false,
- "chain": "main"
+ "chain": "main",
+ "isCompressed": true,
+ "isPrivkey": true
}
],
[
- "mizXiucXRCsEriQCHUkCqef9ph9qtPbZZ6",
- "76a914261f83568a098a8638844bd7aeca039d5f2352c088ac",
+ "927JwT1ViCr5TD2ZX8CsMNhg17dXmou5xu4y2KiH54zD7i34UJq",
+ "4502a54c0026b0150281d41f40860d1e23870c63cdc32645bbed688f2ee41f64",
{
- "isPrivkey": false,
- "chain": "test"
+ "chain": "test",
+ "isCompressed": false,
+ "isPrivkey": true
}
],
[
- "2NEWDzHWwY5ZZp8CQWbB7ouNMLqCia6YRda",
- "a914e930e1834a4d234702773951d627cce82fbb5d2e87",
+ "cTpGGNPVy2Eagawohbr4aGtRJzpLnjxGsGYh9DUcBM45f3KdKGF6",
+ "ba005a0cb39587aab00bd54c848b59e8adaed47403228567ddc739c2a344ff59",
{
- "isPrivkey": false,
- "chain": "test"
+ "chain": "test",
+ "isCompressed": true,
+ "isPrivkey": true
}
],
[
- "5KQmDryMNDcisTzRp3zEq9e4awRmJrEVU1j5vFRTKpRNYPqYrMg",
- "d1fab7ab7385ad26872237f1eb9789aa25cc986bacc695e07ac571d6cdac8bc0",
+ "932PLCLA19yPNqV67qwHBSGjxi82LVzWBF7josL9ab4Q1kxgPGF",
+ "bd8677e076eb39770bf7e9f9e8d3f2cf257effab9b4c220fd3439ccfc208c984",
{
+ "chain": "signet",
"isCompressed": false,
- "isPrivkey": true,
- "chain": "main"
+ "isPrivkey": true
}
],
[
- "L39Fy7AC2Hhj95gh3Yb2AU5YHh1mQSAHgpNixvm27poizcJyLtUi",
- "b0bbede33ef254e8376aceb1510253fc3550efd0fcf84dcd0c9998b288f166b3",
+ "cViUpEy8URSsLjUvxwL7cEuNgCVqM7oKBzd1ZPbA4khcQsQJuj1j",
+ "f2b36ade8393e29dc71e52cb75ba1109ba210203cd7d0a5ae881ad6846516203",
{
+ "chain": "signet",
"isCompressed": true,
- "isPrivkey": true,
- "chain": "main"
+ "isPrivkey": true
}
],
[
- "91cTVUcgydqyZLgaANpf1fvL55FH53QMm4BsnCADVNYuWuqdVys",
- "037f4192c630f399d9271e26c575269b1d15be553ea1a7217f0cb8513cef41cb",
+ "92jddDjJCVDmJtgvBHQ9i58PMash8kwsYhRdNo22ea2MYPXdCBE",
+ "977bf8686f1bcad28f86c4c14afbd33215746bd19203647bf7ff9c6fddc9cc87",
{
+ "chain": "regtest",
"isCompressed": false,
- "isPrivkey": true,
- "chain": "test"
+ "isPrivkey": true
}
],
[
- "cQspfSzsgLeiJGB2u8vrAiWpCU4MxUT6JseWo2SjXy4Qbzn2fwDw",
- "6251e205e8ad508bab5596bee086ef16cd4b239e0cc0c5d7c4e6035441e7d5de",
+ "cVwAuMoUqRo399X7vXzuzQyPEvZJMXM8c82zHzRkFCxPCSGx8A6y",
+ "f93acbbce02b8cb9ddca3fad495441e324cc01eb640b0a7b4c9f0e31644c822a",
{
+ "chain": "regtest",
"isCompressed": true,
- "isPrivkey": true,
- "chain": "test"
+ "isPrivkey": true
}
],
[
- "19dcawoKcZdQz365WpXWMhX6QCUpR9SY4r",
- "76a9145eadaf9bb7121f0f192561a5a62f5e5f5421029288ac",
+ "bc1qz377zwe5awr68dnggengqx9vrjt05k98q3sw2n",
+ "0014147de13b34eb87a3b66846668018ac1c96fa58a7",
{
+ "chain": "main",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "37Sp6Rv3y4kVd1nQ1JV5pfqXccHNyZm1x3",
- "a9143f210e7277c899c3a155cc1c90f4106cbddeec6e87",
+ "bc1qkmhskpdzg8kdkfywhu09kswwn9qan9vnkrf6mk40jvnr06s6sz5ssf82ya",
+ "0020b6ef0b05a241ecdb248ebf1e5b41ce9941d99593b0d3addaaf932637ea1a80a9",
{
+ "chain": "main",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "myoqcgYiehufrsnnkqdqbp69dddVDMopJu",
- "76a914c8a3c2a09a298592c3e180f02487cd91ba3400b588ac",
+ "bc1ps8cndas60cntk8x79sg9f5e5jz7x050z8agyugln2ukkks23rryqpejzkc",
+ "512081f136f61a7e26bb1cde2c1054d33490bc67d1e23f504e23f3572d6b415118c8",
{
+ "chain": "main",
"isPrivkey": false,
- "chain": "test"
+ "tryCaseFlip": true
}
],
[
- "2N7FuwuUuoTBrDFdrAZ9KxBmtqMLxce9i1C",
- "a91499b31df7c9068d1481b596578ddbb4d3bd90baeb87",
+ "bc1zn4tsczge9l",
+ "52029d57",
{
+ "chain": "main",
"isPrivkey": false,
- "chain": "test"
+ "tryCaseFlip": true
}
],
[
- "5KL6zEaMtPRXZKo1bbMq7JDjjo1bJuQcsgL33je3oY8uSJCR5b4",
- "c7666842503db6dc6ea061f092cfb9c388448629a6fe868d068c42a488b478ae",
+ "tb1q6xw0wwd9n9d7ge87dryz4vm5vtahzhvz6yett3",
+ "0014d19cf739a5995be464fe68c82ab37462fb715d82",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "test",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "KwV9KAfwbwt51veZWNscRTeZs9CKpojyu1MsPnaKTF5kz69H1UN2",
- "07f0803fc5399e773555ab1e8939907e9badacc17ca129e67a2f5f2ff84351dd",
+ "tb1qwn9zq9fu5uk35ykpgsc7rz4uawy4yh0r5m5er26768h5ur50su3qj6evun",
+ "002074ca20153ca72d1a12c14431e18abceb89525de3a6e991ab5ed1ef4e0e8f8722",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "main"
+ "chain": "test",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "93N87D6uxSBzwXvpokpzg8FFmfQPmvX4xHoWQe3pLdYpbiwT5YV",
- "ea577acfb5d1d14d3b7b195c321566f12f87d2b77ea3a53f68df7ebf8604a801",
+ "tb1pmcdc5d8gr92rtemfsnhpeqanvs0nr82upn5dktxluz9n0qcv34lqxke0wq",
+ "5120de1b8a34e8195435e76984ee1c83b3641f319d5c0ce8db2cdfe08b37830c8d7e",
{
- "isCompressed": false,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "test",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "cMxXusSihaX58wpJ3tNuuUcZEQGt6DKJ1wEpxys88FFaQCYjku9h",
- "0b3b34f0958d8a268193a9814da92c3e8b58b4a4378a542863e34ac289cd830c",
+ "tb1rgxjvtfzp0xczz6dlzqv8d5cmuykk4qkk",
+ "531041a4c5a44179b02169bf101876d31be1",
{
- "isCompressed": true,
- "isPrivkey": true,
- "chain": "test"
+ "chain": "test",
+ "isPrivkey": false,
+ "tryCaseFlip": true
}
],
[
- "13p1ijLwsnrcuyqcTvJXkq2ASdXqcnEBLE",
- "76a9141ed467017f043e91ed4c44b4e8dd674db211c4e688ac",
+ "tb1qa9dlyt6fydestul4y4wh72yshh044w32np8etk",
+ "0014e95bf22f49237305f3f5255d7f2890bddf5aba2a",
{
+ "chain": "signet",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "3ALJH9Y951VCGcVZYAdpA3KchoP9McEj1G",
- "a9145ece0cadddc415b1980f001785947120acdb36fc87",
+ "tb1qu4p26n0033720xm0rjgkds5ehdwf039k2fgv75um5krrvfhrrj7qckl9r2",
+ "0020e542ad4def8c7ca79b6f1c9166c299bb5c97c4b65250cf539ba5863626e31cbc",
{
+ "chain": "signet",
"isPrivkey": false,
- "chain": "main"
+ "tryCaseFlip": true
}
],
[
- "bc1qw508d6qejxtdg4y5r3zarvary0c5xw7kv8f3t4",
- "0014751e76e8199196d454941c45d1b3a323f1433bd6",
+ "tb1pjyukm4n4flwd0ey3lrl06c9kalr60ggmlkcxq2rhhxmy4lvkmkpqexdzqy",
+ "512091396dd6754fdcd7e491f8fefd60b6efc7a7a11bfdb0602877b9b64afd96dd82",
{
+ "chain": "signet",
"isPrivkey": false,
- "chain": "main",
"tryCaseFlip": true
}
],
[
- "bcrt1qw508d6qejxtdg4y5r3zarvary0c5xw7kygt080",
- "0014751e76e8199196d454941c45d1b3a323f1433bd6",
+ "tb1r4k75s5syvewsvxufdc3xfhf4tw4u30alw39xny3dnxrl6hau7systymfdv",
+ "5320adbd485204665d061b896e2264dd355babc8bfbf744a69922d9987fd5fbcf409",
{
+ "chain": "signet",
"isPrivkey": false,
- "chain": "regtest",
"tryCaseFlip": true
}
],
[
- "tb1qrp33g0q5c5txsp9arysrx4k6zdkfs4nce4xj0gdcccefvpysxf3q0sl5k7",
- "00201863143c14c5166804bd19203356da136c985678cd4d27a1b8c6329604903262",
+ "bcrt1qnk3tdwwj47ppc4pqmxkjdusegedn9ru5gvccwa",
+ "00149da2b6b9d2af821c5420d9ad26f219465b328f94",
{
+ "chain": "regtest",
"isPrivkey": false,
- "chain": "test",
"tryCaseFlip": true
}
],
[
- "bc1pw508d6qejxtdg4y5r3zarvary0c5xw7kw508d6qejxtdg4y5r3zarvary0c5xw7k7grplx",
- "5128751e76e8199196d454941c45d1b3a323f1433bd6751e76e8199196d454941c45d1b3a323f1433bd6",
+ "bcrt1qz7prfshfkwsxuk72pt6mzr6uumq4qllxe4vmwqt89tat48d362yqlykk6a",
+ "0020178234c2e9b3a06e5bca0af5b10f5ce6c1507fe6cd59b701672afaba9db1d288",
{
+ "chain": "regtest",
"isPrivkey": false,
- "chain": "main",
"tryCaseFlip": true
}
],
[
- "bc1sw50qa3jx3s",
- "6002751e",
+ "bcrt1pumee3wj80xvyr7wjmj7zsk26x5pn095aegy862yhx6f2j9sgc9hq6cj4cm",
+ "5120e6f398ba47799841f9d2dcbc28595a350337969dca087d28973692a91608c16e",
{
+ "chain": "regtest",
"isPrivkey": false,
- "chain": "main",
"tryCaseFlip": true
}
],
[
- "bc1zw508d6qejxtdg4y5r3zarvaryvg6kdaj",
- "5210751e76e8199196d454941c45d1b3a323",
+ "bcrt1szqz8hj64d2hhc6nt65v09jxal66pgff2xpcp9kj648qkk8kjzxelsts4dktd799g47uase",
+ "602810047bcb556aaf7c6a6bd518f2c8ddfeb414252a307012da5aa9c16b1ed211b3f82e156d96df14a8",
{
+ "chain": "regtest",
"isPrivkey": false,
- "chain": "main",
"tryCaseFlip": true
}
],
[
- "tb1qqqqqp399et2xygdj5xreqhjjvcmzhxw4aywxecjdzew6hylgvsesrxh6hy",
- "0020000000c4a5cad46221b2a187905e5266362b99d5e91c6ce24d165dab93e86433",
+ "12agZTajtRE3STSchwWNWnrm467zzTQ916",
+ "76a9141156e00f70061e5faba8b71593a8c7554b47090c88ac",
+ {
+ "chain": "main",
+ "isPrivkey": false
+ }
+ ],
+ [
+ "3NXqB6iZiPYbKruNT3d9xNBTmtb73xMvvf",
+ "a914e49decc9e5d97e0547d3642f3a4795b13ae62bca87",
+ {
+ "chain": "main",
+ "isPrivkey": false
+ }
+ ],
+ [
+ "mjgt4BoCYxjzWvJFoh68x7cj5GeaKDYhyx",
+ "76a9142dc11fc7b8072f733f690ffb0591c00f4062295c88ac",
{
- "isPrivkey": false,
"chain": "test",
- "tryCaseFlip": true
+ "isPrivkey": false
}
],
[
- "bcrt1qqqqqp399et2xygdj5xreqhjjvcmzhxw4aywxecjdzew6hylgvseswlauz7",
- "0020000000c4a5cad46221b2a187905e5266362b99d5e91c6ce24d165dab93e86433",
+ "2NCT6FdQ5MxorHgnFxLeHyGwTGRdkHcrJDH",
+ "a914d2a8ec992b0894a0d9391ca5d9c45c388c41be7e87",
{
- "isPrivkey": false,
- "chain": "regtest",
- "tryCaseFlip": true
+ "chain": "test",
+ "isPrivkey": false
+ }
+ ],
+ [
+ "mpomiA7wqDnMcxaNLC23eBuXAb4U6H4ZqW",
+ "76a91465e75e340415ed297c58d6a14d3c17ceeaa17bbd88ac",
+ {
+ "chain": "signet",
+ "isPrivkey": false
+ }
+ ],
+ [
+ "2N1pGAA5uatbU2PKvMA9BnJmHcK6yHfMiZa",
+ "a9145e008b6cc232164570befc23d216060bf4ea793b87",
+ {
+ "chain": "signet",
+ "isPrivkey": false
}
]
]
diff --git a/src/test/data/script_tests.json b/src/test/data/script_tests.json
index 724789bbf9..ad05240369 100644
--- a/src/test/data/script_tests.json
+++ b/src/test/data/script_tests.json
@@ -1269,6 +1269,10 @@
[["51", 0.00000000 ], "", "0 0x206e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d", "P2SH,WITNESS", "WITNESS_PROGRAM_MISMATCH", "Witness script hash mismatch"],
[["00", 0.00000000 ], "", "0 0x206e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d", "", "OK", "Invalid witness script without WITNESS"],
[["51", 0.00000000 ], "", "0 0x206e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d", "", "OK", "Witness script hash mismatch without WITNESS"],
+[["51", 0.00000000 ], "", "-1 0x021234", "P2SH,WITNESS", "WITNESS_UNEXPECTED", "OP_1NEGATE does not introduce a witness program"],
+[["51", 0.00000000 ], "00", "1 0x021234", "P2SH,WITNESS", "WITNESS_MALLEATED", "OP_1 does introduce a witness program"],
+[["51", 0.00000000 ], "00", "16 0x021234", "P2SH,WITNESS", "WITNESS_MALLEATED", "OP_16 does introduce a witness program"],
+[["51", 0.00000000 ], "", "NOP 0x021234", "P2SH,WITNESS", "WITNESS_UNEXPECTED", "NOP does not introduce a witness program"],
["Automatically generated test cases"],
[
diff --git a/src/test/data/tx_invalid.json b/src/test/data/tx_invalid.json
index c394356798..a47bc8f366 100644
--- a/src/test/data/tx_invalid.json
+++ b/src/test/data/tx_invalid.json
@@ -124,15 +124,15 @@
["CHECKLOCKTIMEVERIFY tests"],
["By-height locks, with argument just beyond tx nLockTime"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "1 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "1 CHECKLOCKTIMEVERIFY"]],
"010000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKLOCKTIMEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "499999999 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "499999999 CHECKLOCKTIMEVERIFY"]],
"0100000001000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000fe64cd1d", "CHECKLOCKTIMEVERIFY"],
["By-time locks, with argument just beyond tx nLockTime (but within numerical boundaries)"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "500000001 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "500000001 CHECKLOCKTIMEVERIFY"]],
"01000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000065cd1d", "CHECKLOCKTIMEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4294967295 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4294967295 CHECKLOCKTIMEVERIFY"]],
"0100000001000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000feffffff", "CHECKLOCKTIMEVERIFY"],
["Argument missing"],
@@ -142,11 +142,11 @@
"010000000100010000000000000000000000000000000000000000000000000000000000000000000001b1010000000100000000000000000000000000", "CHECKLOCKTIMEVERIFY"],
["Argument negative with by-blockheight nLockTime=0"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKLOCKTIMEVERIFY"]],
"010000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKLOCKTIMEVERIFY"],
["Argument negative with by-blocktime nLockTime=500,000,000"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKLOCKTIMEVERIFY"]],
"01000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000065cd1d", "CHECKLOCKTIMEVERIFY"],
[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "1"]],
"010000000100010000000000000000000000000000000000000000000000000000000000000000000004005194b1010000000100000000000000000002000000", "CHECKLOCKTIMEVERIFY"],
@@ -167,19 +167,19 @@
"01000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000065cd1d", "CHECKLOCKTIMEVERIFY"],
[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "0"]],
"01000000010001000000000000000000000000000000000000000000000000000000000000000000000251b100000000010000000000000000000065cd1d", "NONE"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "499999999 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "499999999 CHECKLOCKTIMEVERIFY"]],
"01000000010001000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000065cd1d", "CHECKLOCKTIMEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "500000000 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "500000000 CHECKLOCKTIMEVERIFY"]],
"010000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKLOCKTIMEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "500000000 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "500000000 CHECKLOCKTIMEVERIFY"]],
"0100000001000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000ff64cd1d", "CHECKLOCKTIMEVERIFY"],
["Argument 2^32 with nLockTime=2^32-1"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "0x050000000001 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "0x050000000001 CHECKLOCKTIMEVERIFY"]],
"0100000001000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000ffffffff", "CHECKLOCKTIMEVERIFY"],
["Same, but with nLockTime=2^31-1"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "2147483648 CHECKLOCKTIMEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "2147483648 CHECKLOCKTIMEVERIFY"]],
"0100000001000100000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000ffffff7f", "CHECKLOCKTIMEVERIFY"],
["6 byte non-minimally-encoded arguments are invalid even if their contents are valid"],
@@ -201,15 +201,15 @@
["CHECKSEQUENCEVERIFY tests"],
["By-height locks, with argument just beyond txin.nSequence"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "1 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "1 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4259839 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4259839 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000feff40000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
["By-time locks, with argument just beyond txin.nSequence (but within numerical boundaries)"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4194305 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4194305 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000040000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4259839 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4259839 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000feff40000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
["Argument missing"],
@@ -217,21 +217,21 @@
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
["Argument negative with by-blockheight txin.nSequence=0"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
["Argument negative with by-blocktime txin.nSequence=CTxIn::SEQUENCE_LOCKTIME_TYPE_FLAG"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "-1 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000040000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
["Argument/tx height/time mismatch, both versions"],
[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "0 CHECKSEQUENCEVERIFY 1"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000040000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "65535 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "65535 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000040000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4194304 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4194304 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4259839 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4259839 CHECKSEQUENCEVERIFY"]],
"020000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
["6 byte non-minimally-encoded arguments are invalid even if their contents are valid"],
@@ -249,7 +249,7 @@
["Failure due to insufficient tx.nVersion (<2)"],
[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "0 CHECKSEQUENCEVERIFY 1"]],
"010000000100010000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4194304 CHECKSEQUENCEVERIFY 1"]],
+[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "4194304 CHECKSEQUENCEVERIFY"]],
"010000000100010000000000000000000000000000000000000000000000000000000000000000000000000040000100000000000000000000000000", "CHECKSEQUENCEVERIFY"],
["Unknown witness program version (with DISCOURAGE_UPGRADABLE_WITNESS_PROGRAM)"],
@@ -311,6 +311,10 @@
[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "0x00 0x20 0x34b6c399093e06cf9f0f7f660a1abcfe78fcf7b576f43993208edd9518a0ae9b", 1000]],
"0100000000010100010000000000000000000000000000000000000000000000000000000000000000000000ffffffff01e803000000000000015101045102010100000000", "P2SH,WITNESS"],
+["P2WSH with an empty redeem should fail due to empty stack"],
+[[["3d4da21b04a67a54c8a58df1c53a0534b0a7f0864fb3d19abd43b8f6934e785f", 0, "0x00 0x20 0xe3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855", 1337]],
+"020000000001015f784e93f6b843bd9ad1b34f86f0a7b034053ac5f18da5c8547aa6041ba24d3d0000000000ffffffff013905000000000000220020e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855010000000000", "P2SH,WITNESS"],
+
["33 bytes push should be considered a witness scriptPubKey"],
[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "0x60 0x21 0xff25429251b5a84f452230a3c75fd886b7fc5a7865ce4a7bb7a9d7c5be6da3dbff", 1000]],
"010000000100010000000000000000000000000000000000000000000000000000000000000000000000ffffffff01e803000000000000015100000000", "P2SH,WITNESS,DISCOURAGE_UPGRADABLE_WITNESS_PROGRAM"],
diff --git a/src/test/data/tx_valid.json b/src/test/data/tx_valid.json
index 2727af5abd..b874f6f26c 100644
--- a/src/test/data/tx_valid.json
+++ b/src/test/data/tx_valid.json
@@ -62,10 +62,6 @@
["c76168ef1a272a4f176e55e73157ecfce040cfad16a5272f6296eb7089dca846", 1, "DUP HASH160 0x14 0x34fea2c5a75414fd945273ae2d029ce1f28dafcf EQUALVERIFY CHECKSIG"]],
"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", "NONE"],
-["An invalid P2SH Transaction"],
-[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "HASH160 0x14 0x7a052c840ba73af26755de42cf01cc9e0a49fef0 EQUAL"]],
-"010000000100010000000000000000000000000000000000000000000000000000000000000000000009085768617420697320ffffffff010000000000000000015100000000", "P2SH,CLEANSTACK,WITNESS"],
-
["A valid P2SH Transaction using the standard transaction type put forth in BIP 16"],
[[["0000000000000000000000000000000000000000000000000000000000000100", 0, "HASH160 0x14 0x8febbed40483661de6958d957412f82deed8e2f7 EQUAL"]],
"01000000010001000000000000000000000000000000000000000000000000000000000000000000006e493046022100c66c9cdf4c43609586d15424c54707156e316d88b0a1534c9e6b0d4f311406310221009c0fe51dbc9c4ab7cc25d3fdbeccf6679fe6827f08edf2b4a9f16ee3eb0e438a0123210338e8034509af564c62644c07691942e0c056752008a173c89f60ab2a88ac2ebfacffffffff010000000000000000015100000000", "LOW_S"],
diff --git a/src/test/dbwrapper_tests.cpp b/src/test/dbwrapper_tests.cpp
index 3d802cbeb3..fc89fe1450 100644
--- a/src/test/dbwrapper_tests.cpp
+++ b/src/test/dbwrapper_tests.cpp
@@ -1,11 +1,10 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <dbwrapper.h>
#include <test/util/setup_common.h>
#include <uint256.h>
-#include <util/memory.h>
#include <memory>
@@ -27,9 +26,9 @@ BOOST_AUTO_TEST_CASE(dbwrapper)
{
// Perform tests both obfuscated and non-obfuscated.
for (const bool obfuscate : {false, true}) {
- fs::path ph = GetDataDir() / (obfuscate ? "dbwrapper_obfuscate_true" : "dbwrapper_obfuscate_false");
+ fs::path ph = m_args.GetDataDirBase() / (obfuscate ? "dbwrapper_obfuscate_true" : "dbwrapper_obfuscate_false");
CDBWrapper dbw(ph, (1 << 20), true, false, obfuscate);
- char key = 'k';
+ uint8_t key{'k'};
uint256 in = InsecureRand256();
uint256 res;
@@ -46,7 +45,7 @@ BOOST_AUTO_TEST_CASE(dbwrapper_basic_data)
{
// Perform tests both obfuscated and non-obfuscated.
for (bool obfuscate : {false, true}) {
- fs::path ph = GetDataDir() / (obfuscate ? "dbwrapper_1_obfuscate_true" : "dbwrapper_1_obfuscate_false");
+ fs::path ph = m_args.GetDataDirBase() / (obfuscate ? "dbwrapper_1_obfuscate_true" : "dbwrapper_1_obfuscate_false");
CDBWrapper dbw(ph, (1 << 20), false, true, obfuscate);
uint256 res;
@@ -89,21 +88,21 @@ BOOST_AUTO_TEST_CASE(dbwrapper_basic_data)
BOOST_CHECK_EQUAL(res.ToString(), in_utxo.ToString());
//Simulate last block file number - "l"
- char key_last_blockfile_number = 'l';
+ uint8_t key_last_blockfile_number{'l'};
uint32_t lastblockfilenumber = InsecureRand32();
BOOST_CHECK(dbw.Write(key_last_blockfile_number, lastblockfilenumber));
BOOST_CHECK(dbw.Read(key_last_blockfile_number, res_uint_32));
BOOST_CHECK_EQUAL(lastblockfilenumber, res_uint_32);
//Simulate Is Reindexing - "R"
- char key_IsReindexing = 'R';
+ uint8_t key_IsReindexing{'R'};
bool isInReindexing = InsecureRandBool();
BOOST_CHECK(dbw.Write(key_IsReindexing, isInReindexing));
BOOST_CHECK(dbw.Read(key_IsReindexing, res_bool));
BOOST_CHECK_EQUAL(isInReindexing, res_bool);
//Simulate last block hash up to which UXTO covers - 'B'
- char key_lastblockhash_uxto = 'B';
+ uint8_t key_lastblockhash_uxto{'B'};
uint256 lastblock_hash = InsecureRand256();
BOOST_CHECK(dbw.Write(key_lastblockhash_uxto, lastblock_hash));
BOOST_CHECK(dbw.Read(key_lastblockhash_uxto, res));
@@ -127,14 +126,14 @@ BOOST_AUTO_TEST_CASE(dbwrapper_batch)
{
// Perform tests both obfuscated and non-obfuscated.
for (const bool obfuscate : {false, true}) {
- fs::path ph = GetDataDir() / (obfuscate ? "dbwrapper_batch_obfuscate_true" : "dbwrapper_batch_obfuscate_false");
+ fs::path ph = m_args.GetDataDirBase() / (obfuscate ? "dbwrapper_batch_obfuscate_true" : "dbwrapper_batch_obfuscate_false");
CDBWrapper dbw(ph, (1 << 20), true, false, obfuscate);
- char key = 'i';
+ uint8_t key{'i'};
uint256 in = InsecureRand256();
- char key2 = 'j';
+ uint8_t key2{'j'};
uint256 in2 = InsecureRand256();
- char key3 = 'k';
+ uint8_t key3{'k'};
uint256 in3 = InsecureRand256();
uint256 res;
@@ -163,14 +162,14 @@ BOOST_AUTO_TEST_CASE(dbwrapper_iterator)
{
// Perform tests both obfuscated and non-obfuscated.
for (const bool obfuscate : {false, true}) {
- fs::path ph = GetDataDir() / (obfuscate ? "dbwrapper_iterator_obfuscate_true" : "dbwrapper_iterator_obfuscate_false");
+ fs::path ph = m_args.GetDataDirBase() / (obfuscate ? "dbwrapper_iterator_obfuscate_true" : "dbwrapper_iterator_obfuscate_false");
CDBWrapper dbw(ph, (1 << 20), true, false, obfuscate);
// The two keys are intentionally chosen for ordering
- char key = 'j';
+ uint8_t key{'j'};
uint256 in = InsecureRand256();
BOOST_CHECK(dbw.Write(key, in));
- char key2 = 'k';
+ uint8_t key2{'k'};
uint256 in2 = InsecureRand256();
BOOST_CHECK(dbw.Write(key2, in2));
@@ -179,7 +178,7 @@ BOOST_AUTO_TEST_CASE(dbwrapper_iterator)
// Be sure to seek past the obfuscation key (if it exists)
it->Seek(key);
- char key_res;
+ uint8_t key_res;
uint256 val_res;
BOOST_REQUIRE(it->GetKey(key_res));
@@ -203,12 +202,12 @@ BOOST_AUTO_TEST_CASE(dbwrapper_iterator)
BOOST_AUTO_TEST_CASE(existing_data_no_obfuscate)
{
// We're going to share this fs::path between two wrappers
- fs::path ph = GetDataDir() / "existing_data_no_obfuscate";
- create_directories(ph);
+ fs::path ph = m_args.GetDataDirBase() / "existing_data_no_obfuscate";
+ fs::create_directories(ph);
// Set up a non-obfuscated wrapper to write some initial data.
- std::unique_ptr<CDBWrapper> dbw = MakeUnique<CDBWrapper>(ph, (1 << 10), false, false, false);
- char key = 'k';
+ std::unique_ptr<CDBWrapper> dbw = std::make_unique<CDBWrapper>(ph, (1 << 10), false, false, false);
+ uint8_t key{'k'};
uint256 in = InsecureRand256();
uint256 res;
@@ -244,12 +243,12 @@ BOOST_AUTO_TEST_CASE(existing_data_no_obfuscate)
BOOST_AUTO_TEST_CASE(existing_data_reindex)
{
// We're going to share this fs::path between two wrappers
- fs::path ph = GetDataDir() / "existing_data_reindex";
- create_directories(ph);
+ fs::path ph = m_args.GetDataDirBase() / "existing_data_reindex";
+ fs::create_directories(ph);
// Set up a non-obfuscated wrapper to write some initial data.
- std::unique_ptr<CDBWrapper> dbw = MakeUnique<CDBWrapper>(ph, (1 << 10), false, false, false);
- char key = 'k';
+ std::unique_ptr<CDBWrapper> dbw = std::make_unique<CDBWrapper>(ph, (1 << 10), false, false, false);
+ uint8_t key{'k'};
uint256 in = InsecureRand256();
uint256 res;
@@ -279,7 +278,7 @@ BOOST_AUTO_TEST_CASE(existing_data_reindex)
BOOST_AUTO_TEST_CASE(iterator_ordering)
{
- fs::path ph = GetDataDir() / "iterator_ordering";
+ fs::path ph = m_args.GetDataDirBase() / "iterator_ordering";
CDBWrapper dbw(ph, (1 << 20), true, false, false);
for (int x=0x00; x<256; ++x) {
uint8_t key = x;
@@ -335,7 +334,7 @@ struct StringContentsSerializer {
void Serialize(Stream& s) const
{
for (size_t i = 0; i < str.size(); i++) {
- s << str[i];
+ s << uint8_t(str[i]);
}
}
@@ -343,7 +342,7 @@ struct StringContentsSerializer {
void Unserialize(Stream& s)
{
str.clear();
- char c = 0;
+ uint8_t c{0};
while (true) {
try {
s >> c;
@@ -359,7 +358,7 @@ BOOST_AUTO_TEST_CASE(iterator_string_ordering)
{
char buf[10];
- fs::path ph = GetDataDir() / "iterator_string_ordering";
+ fs::path ph = m_args.GetDataDirBase() / "iterator_string_ordering";
CDBWrapper dbw(ph, (1 << 20), true, false, false);
for (int x=0x00; x<10; ++x) {
for (int y = 0; y < 10; y++) {
@@ -405,7 +404,7 @@ BOOST_AUTO_TEST_CASE(unicodepath)
// On Windows this test will fail if the directory is created using
// the ANSI CreateDirectoryA call and the code page isn't UTF8.
// It will succeed if created with CreateDirectoryW.
- fs::path ph = GetDataDir() / "test_runner_₿_🏃_20191128_104644";
+ fs::path ph = m_args.GetDataDirBase() / "test_runner_₿_🏃_20191128_104644";
CDBWrapper dbw(ph, (1 << 20));
fs::path lockPath = ph / "LOCK";
diff --git a/src/test/denialofservice_tests.cpp b/src/test/denialofservice_tests.cpp
index 5906913b58..a17cc87730 100644
--- a/src/test/denialofservice_tests.cpp
+++ b/src/test/denialofservice_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,36 +14,19 @@
#include <script/signingprovider.h>
#include <script/standard.h>
#include <serialize.h>
+#include <test/util/net.h>
+#include <test/util/setup_common.h>
#include <txorphanage.h>
-#include <util/memory.h>
#include <util/string.h>
#include <util/system.h>
#include <util/time.h>
#include <validation.h>
-#include <test/util/setup_common.h>
-
+#include <array>
#include <stdint.h>
#include <boost/test/unit_test.hpp>
-struct CConnmanTest : public CConnman {
- using CConnman::CConnman;
- void AddNode(CNode& node)
- {
- LOCK(cs_vNodes);
- vNodes.push_back(&node);
- }
- void ClearNodes()
- {
- LOCK(cs_vNodes);
- for (CNode* node : vNodes) {
- delete node;
- }
- vNodes.clear();
- }
-};
-
static CService ip(uint32_t i)
{
struct in_addr s;
@@ -68,13 +51,24 @@ BOOST_FIXTURE_TEST_SUITE(denialofservice_tests, TestingSetup)
BOOST_AUTO_TEST_CASE(outbound_slow_chain_eviction)
{
const CChainParams& chainparams = Params();
- auto connman = MakeUnique<CConnman>(0x1337, 0x1337);
- auto peerLogic = PeerManager::make(chainparams, *connman, nullptr, *m_node.scheduler,
+ auto connman = std::make_unique<CConnman>(0x1337, 0x1337, *m_node.addrman);
+ // Disable inactivity checks for this test to avoid interference
+ static_cast<ConnmanTestMsg*>(connman.get())->SetPeerConnectTimeout(99999s);
+ auto peerLogic = PeerManager::make(chainparams, *connman, *m_node.addrman, nullptr,
*m_node.chainman, *m_node.mempool, false);
// Mock an outbound peer
CAddress addr1(ip(0xa0b0c001), NODE_NONE);
- CNode dummyNode1(id++, ServiceFlags(NODE_NETWORK | NODE_WITNESS), INVALID_SOCKET, addr1, /* nKeyedNetGroupIn */ 0, /* nLocalHostNonceIn */ 0, CAddress(), /* pszDest */ "", ConnectionType::OUTBOUND_FULL_RELAY, /* inbound_onion */ false);
+ CNode dummyNode1{id++,
+ ServiceFlags(NODE_NETWORK | NODE_WITNESS),
+ /*sock=*/nullptr,
+ addr1,
+ /*nKeyedNetGroupIn=*/0,
+ /*nLocalHostNonceIn=*/0,
+ CAddress(),
+ /*addrNameIn=*/"",
+ ConnectionType::OUTBOUND_FULL_RELAY,
+ /*inbound_onion=*/false};
dummyNode1.SetCommonVersion(PROTOCOL_VERSION);
peerLogic->InitializeNode(&dummyNode1);
@@ -83,8 +77,8 @@ BOOST_AUTO_TEST_CASE(outbound_slow_chain_eviction)
// This test requires that we have a chain with non-zero work.
{
LOCK(cs_main);
- BOOST_CHECK(::ChainActive().Tip() != nullptr);
- BOOST_CHECK(::ChainActive().Tip()->nChainWork > 0);
+ BOOST_CHECK(m_node.chainman->ActiveChain().Tip() != nullptr);
+ BOOST_CHECK(m_node.chainman->ActiveChain().Tip()->nChainWork > 0);
}
// Test starts here
@@ -116,30 +110,37 @@ BOOST_AUTO_TEST_CASE(outbound_slow_chain_eviction)
BOOST_CHECK(peerLogic->SendMessages(&dummyNode1)); // should result in disconnect
}
BOOST_CHECK(dummyNode1.fDisconnect == true);
- SetMockTime(0);
- bool dummy;
- peerLogic->FinalizeNode(dummyNode1, dummy);
+ peerLogic->FinalizeNode(dummyNode1);
}
-static void AddRandomOutboundPeer(std::vector<CNode *> &vNodes, PeerManager &peerLogic, CConnmanTest* connman)
+static void AddRandomOutboundPeer(std::vector<CNode*>& vNodes, PeerManager& peerLogic, ConnmanTestMsg& connman, ConnectionType connType)
{
CAddress addr(ip(g_insecure_rand_ctx.randbits(32)), NODE_NONE);
- vNodes.emplace_back(new CNode(id++, ServiceFlags(NODE_NETWORK | NODE_WITNESS), INVALID_SOCKET, addr, /* nKeyedNetGroupIn */ 0, /* nLocalHostNonceIn */ 0, CAddress(), /* pszDest */ "", ConnectionType::OUTBOUND_FULL_RELAY, /* inbound_onion */ false));
+ vNodes.emplace_back(new CNode{id++,
+ ServiceFlags(NODE_NETWORK | NODE_WITNESS),
+ /*sock=*/nullptr,
+ addr,
+ /*nKeyedNetGroupIn=*/0,
+ /*nLocalHostNonceIn=*/0,
+ CAddress(),
+ /*addrNameIn=*/"",
+ connType,
+ /*inbound_onion=*/false});
CNode &node = *vNodes.back();
node.SetCommonVersion(PROTOCOL_VERSION);
peerLogic.InitializeNode(&node);
node.fSuccessfullyConnected = true;
- connman->AddNode(node);
+ connman.AddTestNode(node);
}
BOOST_AUTO_TEST_CASE(stale_tip_peer_management)
{
const CChainParams& chainparams = Params();
- auto connman = MakeUnique<CConnmanTest>(0x1337, 0x1337);
- auto peerLogic = PeerManager::make(chainparams, *connman, nullptr, *m_node.scheduler,
+ auto connman = std::make_unique<ConnmanTestMsg>(0x1337, 0x1337, *m_node.addrman);
+ auto peerLogic = PeerManager::make(chainparams, *connman, *m_node.addrman, nullptr,
*m_node.chainman, *m_node.mempool, false);
constexpr int max_outbound_full_relay = MAX_OUTBOUND_FULL_RELAY_CONNECTIONS;
@@ -148,12 +149,15 @@ BOOST_AUTO_TEST_CASE(stale_tip_peer_management)
options.m_max_outbound_full_relay = max_outbound_full_relay;
options.nMaxFeeler = MAX_FEELER_CONNECTIONS;
+ const auto time_init{GetTime<std::chrono::seconds>()};
+ SetMockTime(time_init);
+ const auto time_later{time_init + 3 * std::chrono::seconds{chainparams.GetConsensus().nPowTargetSpacing} + 1s};
connman->Init(options);
std::vector<CNode *> vNodes;
// Mock some outbound peers
- for (int i=0; i<max_outbound_full_relay; ++i) {
- AddRandomOutboundPeer(vNodes, *peerLogic, connman.get());
+ for (int i = 0; i < max_outbound_full_relay; ++i) {
+ AddRandomOutboundPeer(vNodes, *peerLogic, *connman, ConnectionType::OUTBOUND_FULL_RELAY);
}
peerLogic->CheckForStaleTipAndEvictPeers();
@@ -163,7 +167,7 @@ BOOST_AUTO_TEST_CASE(stale_tip_peer_management)
BOOST_CHECK(node->fDisconnect == false);
}
- SetMockTime(GetTime() + 3 * chainparams.GetConsensus().nPowTargetSpacing + 1);
+ SetMockTime(time_later);
// Now tip should definitely be stale, and we should look for an extra
// outbound peer
@@ -178,7 +182,9 @@ BOOST_AUTO_TEST_CASE(stale_tip_peer_management)
// If we add one more peer, something should get marked for eviction
// on the next check (since we're mocking the time to be in the future, the
// required time connected check should be satisfied).
- AddRandomOutboundPeer(vNodes, *peerLogic, connman.get());
+ SetMockTime(time_init);
+ AddRandomOutboundPeer(vNodes, *peerLogic, *connman, ConnectionType::OUTBOUND_FULL_RELAY);
+ SetMockTime(time_later);
peerLogic->CheckForStaleTipAndEvictPeers();
for (int i = 0; i < max_outbound_full_relay; ++i) {
@@ -200,67 +206,196 @@ BOOST_AUTO_TEST_CASE(stale_tip_peer_management)
BOOST_CHECK(vNodes[max_outbound_full_relay-1]->fDisconnect == true);
BOOST_CHECK(vNodes.back()->fDisconnect == false);
- bool dummy;
for (const CNode *node : vNodes) {
- peerLogic->FinalizeNode(*node, dummy);
+ peerLogic->FinalizeNode(*node);
+ }
+
+ connman->ClearTestNodes();
+}
+
+BOOST_AUTO_TEST_CASE(block_relay_only_eviction)
+{
+ const CChainParams& chainparams = Params();
+ auto connman = std::make_unique<ConnmanTestMsg>(0x1337, 0x1337, *m_node.addrman);
+ auto peerLogic = PeerManager::make(chainparams, *connman, *m_node.addrman, nullptr,
+ *m_node.chainman, *m_node.mempool, false);
+
+ constexpr int max_outbound_block_relay{MAX_BLOCK_RELAY_ONLY_CONNECTIONS};
+ constexpr int64_t MINIMUM_CONNECT_TIME{30};
+ CConnman::Options options;
+ options.nMaxConnections = DEFAULT_MAX_PEER_CONNECTIONS;
+ options.m_max_outbound_full_relay = MAX_OUTBOUND_FULL_RELAY_CONNECTIONS;
+ options.m_max_outbound_block_relay = max_outbound_block_relay;
+
+ connman->Init(options);
+ std::vector<CNode*> vNodes;
+
+ // Add block-relay-only peers up to the limit
+ for (int i = 0; i < max_outbound_block_relay; ++i) {
+ AddRandomOutboundPeer(vNodes, *peerLogic, *connman, ConnectionType::BLOCK_RELAY);
+ }
+ peerLogic->CheckForStaleTipAndEvictPeers();
+
+ for (int i = 0; i < max_outbound_block_relay; ++i) {
+ BOOST_CHECK(vNodes[i]->fDisconnect == false);
+ }
+
+ // Add an extra block-relay-only peer breaking the limit (mocks logic in ThreadOpenConnections)
+ AddRandomOutboundPeer(vNodes, *peerLogic, *connman, ConnectionType::BLOCK_RELAY);
+ peerLogic->CheckForStaleTipAndEvictPeers();
+
+ // The extra peer should only get marked for eviction after MINIMUM_CONNECT_TIME
+ for (int i = 0; i < max_outbound_block_relay; ++i) {
+ BOOST_CHECK(vNodes[i]->fDisconnect == false);
+ }
+ BOOST_CHECK(vNodes.back()->fDisconnect == false);
+
+ SetMockTime(GetTime() + MINIMUM_CONNECT_TIME + 1);
+ peerLogic->CheckForStaleTipAndEvictPeers();
+ for (int i = 0; i < max_outbound_block_relay; ++i) {
+ BOOST_CHECK(vNodes[i]->fDisconnect == false);
+ }
+ BOOST_CHECK(vNodes.back()->fDisconnect == true);
+
+ // Update the last block time for the extra peer,
+ // and check that the next youngest peer gets evicted.
+ vNodes.back()->fDisconnect = false;
+ vNodes.back()->m_last_block_time = GetTime<std::chrono::seconds>();
+
+ peerLogic->CheckForStaleTipAndEvictPeers();
+ for (int i = 0; i < max_outbound_block_relay - 1; ++i) {
+ BOOST_CHECK(vNodes[i]->fDisconnect == false);
}
+ BOOST_CHECK(vNodes[max_outbound_block_relay - 1]->fDisconnect == true);
+ BOOST_CHECK(vNodes.back()->fDisconnect == false);
- connman->ClearNodes();
+ for (const CNode* node : vNodes) {
+ peerLogic->FinalizeNode(*node);
+ }
+ connman->ClearTestNodes();
}
BOOST_AUTO_TEST_CASE(peer_discouragement)
{
const CChainParams& chainparams = Params();
- auto banman = MakeUnique<BanMan>(GetDataDir() / "banlist.dat", nullptr, DEFAULT_MISBEHAVING_BANTIME);
- auto connman = MakeUnique<CConnman>(0x1337, 0x1337);
- auto peerLogic = PeerManager::make(chainparams, *connman, banman.get(), *m_node.scheduler,
+ auto banman = std::make_unique<BanMan>(m_args.GetDataDirBase() / "banlist", nullptr, DEFAULT_MISBEHAVING_BANTIME);
+ auto connman = std::make_unique<ConnmanTestMsg>(0x1337, 0x1337, *m_node.addrman);
+ auto peerLogic = PeerManager::make(chainparams, *connman, *m_node.addrman, banman.get(),
*m_node.chainman, *m_node.mempool, false);
+ CNetAddr tor_netaddr;
+ BOOST_REQUIRE(
+ tor_netaddr.SetSpecial("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion"));
+ const CService tor_service{tor_netaddr, Params().GetDefaultPort()};
+
+ const std::array<CAddress, 3> addr{CAddress{ip(0xa0b0c001), NODE_NONE},
+ CAddress{ip(0xa0b0c002), NODE_NONE},
+ CAddress{tor_service, NODE_NONE}};
+
+ const CNetAddr other_addr{ip(0xa0b0ff01)}; // Not any of addr[].
+
+ std::array<CNode*, 3> nodes;
+
banman->ClearBanned();
- CAddress addr1(ip(0xa0b0c001), NODE_NONE);
- CNode dummyNode1(id++, NODE_NETWORK, INVALID_SOCKET, addr1, /* nKeyedNetGroupIn */ 0, /* nLocalHostNonceIn */ 0, CAddress(), /* pszDest */ "", ConnectionType::INBOUND, /* inbound_onion */ false);
- dummyNode1.SetCommonVersion(PROTOCOL_VERSION);
- peerLogic->InitializeNode(&dummyNode1);
- dummyNode1.fSuccessfullyConnected = true;
- peerLogic->Misbehaving(dummyNode1.GetId(), DISCOURAGEMENT_THRESHOLD, /* message */ ""); // Should be discouraged
+ nodes[0] = new CNode{id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr[0],
+ /*nKeyedNetGroupIn=*/0,
+ /*nLocalHostNonceIn=*/0,
+ CAddress(),
+ /*addrNameIn=*/"",
+ ConnectionType::INBOUND,
+ /*inbound_onion=*/false};
+ nodes[0]->SetCommonVersion(PROTOCOL_VERSION);
+ peerLogic->InitializeNode(nodes[0]);
+ nodes[0]->fSuccessfullyConnected = true;
+ connman->AddTestNode(*nodes[0]);
+ peerLogic->Misbehaving(nodes[0]->GetId(), DISCOURAGEMENT_THRESHOLD, /*message=*/""); // Should be discouraged
{
- LOCK(dummyNode1.cs_sendProcessing);
- BOOST_CHECK(peerLogic->SendMessages(&dummyNode1));
+ LOCK(nodes[0]->cs_sendProcessing);
+ BOOST_CHECK(peerLogic->SendMessages(nodes[0]));
}
- BOOST_CHECK(banman->IsDiscouraged(addr1));
- BOOST_CHECK(!banman->IsDiscouraged(ip(0xa0b0c001|0x0000ff00))); // Different IP, not discouraged
-
- CAddress addr2(ip(0xa0b0c002), NODE_NONE);
- CNode dummyNode2(id++, NODE_NETWORK, INVALID_SOCKET, addr2, /* nKeyedNetGroupIn */ 1, /* nLocalHostNonceIn */ 1, CAddress(), /* pszDest */ "", ConnectionType::INBOUND, /* inbound_onion */ false);
- dummyNode2.SetCommonVersion(PROTOCOL_VERSION);
- peerLogic->InitializeNode(&dummyNode2);
- dummyNode2.fSuccessfullyConnected = true;
- peerLogic->Misbehaving(dummyNode2.GetId(), DISCOURAGEMENT_THRESHOLD - 1, /* message */ "");
+ BOOST_CHECK(banman->IsDiscouraged(addr[0]));
+ BOOST_CHECK(nodes[0]->fDisconnect);
+ BOOST_CHECK(!banman->IsDiscouraged(other_addr)); // Different address, not discouraged
+
+ nodes[1] = new CNode{id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr[1],
+ /*nKeyedNetGroupIn=*/1,
+ /*nLocalHostNonceIn=*/1,
+ CAddress(),
+ /*addrNameIn=*/"",
+ ConnectionType::INBOUND,
+ /*inbound_onion=*/false};
+ nodes[1]->SetCommonVersion(PROTOCOL_VERSION);
+ peerLogic->InitializeNode(nodes[1]);
+ nodes[1]->fSuccessfullyConnected = true;
+ connman->AddTestNode(*nodes[1]);
+ peerLogic->Misbehaving(nodes[1]->GetId(), DISCOURAGEMENT_THRESHOLD - 1, /*message=*/"");
{
- LOCK(dummyNode2.cs_sendProcessing);
- BOOST_CHECK(peerLogic->SendMessages(&dummyNode2));
+ LOCK(nodes[1]->cs_sendProcessing);
+ BOOST_CHECK(peerLogic->SendMessages(nodes[1]));
}
- BOOST_CHECK(!banman->IsDiscouraged(addr2)); // 2 not discouraged yet...
- BOOST_CHECK(banman->IsDiscouraged(addr1)); // ... but 1 still should be
- peerLogic->Misbehaving(dummyNode2.GetId(), 1, /* message */ ""); // 2 reaches discouragement threshold
+ // [0] is still discouraged/disconnected.
+ BOOST_CHECK(banman->IsDiscouraged(addr[0]));
+ BOOST_CHECK(nodes[0]->fDisconnect);
+ // [1] is not discouraged/disconnected yet.
+ BOOST_CHECK(!banman->IsDiscouraged(addr[1]));
+ BOOST_CHECK(!nodes[1]->fDisconnect);
+ peerLogic->Misbehaving(nodes[1]->GetId(), 1, /*message=*/""); // [1] reaches discouragement threshold
{
- LOCK(dummyNode2.cs_sendProcessing);
- BOOST_CHECK(peerLogic->SendMessages(&dummyNode2));
+ LOCK(nodes[1]->cs_sendProcessing);
+ BOOST_CHECK(peerLogic->SendMessages(nodes[1]));
}
- BOOST_CHECK(banman->IsDiscouraged(addr1)); // Expect both 1 and 2
- BOOST_CHECK(banman->IsDiscouraged(addr2)); // to be discouraged now
-
- bool dummy;
- peerLogic->FinalizeNode(dummyNode1, dummy);
- peerLogic->FinalizeNode(dummyNode2, dummy);
+ // Expect both [0] and [1] to be discouraged/disconnected now.
+ BOOST_CHECK(banman->IsDiscouraged(addr[0]));
+ BOOST_CHECK(nodes[0]->fDisconnect);
+ BOOST_CHECK(banman->IsDiscouraged(addr[1]));
+ BOOST_CHECK(nodes[1]->fDisconnect);
+
+ // Make sure non-IP peers are discouraged and disconnected properly.
+
+ nodes[2] = new CNode{id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr[2],
+ /*nKeyedNetGroupIn=*/1,
+ /*nLocalHostNonceIn=*/1,
+ CAddress(),
+ /*addrNameIn=*/"",
+ ConnectionType::OUTBOUND_FULL_RELAY,
+ /*inbound_onion=*/false};
+ nodes[2]->SetCommonVersion(PROTOCOL_VERSION);
+ peerLogic->InitializeNode(nodes[2]);
+ nodes[2]->fSuccessfullyConnected = true;
+ connman->AddTestNode(*nodes[2]);
+ peerLogic->Misbehaving(nodes[2]->GetId(), DISCOURAGEMENT_THRESHOLD, /*message=*/"");
+ {
+ LOCK(nodes[2]->cs_sendProcessing);
+ BOOST_CHECK(peerLogic->SendMessages(nodes[2]));
+ }
+ BOOST_CHECK(banman->IsDiscouraged(addr[0]));
+ BOOST_CHECK(banman->IsDiscouraged(addr[1]));
+ BOOST_CHECK(banman->IsDiscouraged(addr[2]));
+ BOOST_CHECK(nodes[0]->fDisconnect);
+ BOOST_CHECK(nodes[1]->fDisconnect);
+ BOOST_CHECK(nodes[2]->fDisconnect);
+
+ for (CNode* node : nodes) {
+ peerLogic->FinalizeNode(*node);
+ }
+ connman->ClearTestNodes();
}
BOOST_AUTO_TEST_CASE(DoS_bantime)
{
const CChainParams& chainparams = Params();
- auto banman = MakeUnique<BanMan>(GetDataDir() / "banlist.dat", nullptr, DEFAULT_MISBEHAVING_BANTIME);
- auto connman = MakeUnique<CConnman>(0x1337, 0x1337);
- auto peerLogic = PeerManager::make(chainparams, *connman, banman.get(), *m_node.scheduler,
+ auto banman = std::make_unique<BanMan>(m_args.GetDataDirBase() / "banlist", nullptr, DEFAULT_MISBEHAVING_BANTIME);
+ auto connman = std::make_unique<CConnman>(0x1337, 0x1337, *m_node.addrman);
+ auto peerLogic = PeerManager::make(chainparams, *connman, *m_node.addrman, banman.get(),
*m_node.chainman, *m_node.mempool, false);
banman->ClearBanned();
@@ -268,20 +403,28 @@ BOOST_AUTO_TEST_CASE(DoS_bantime)
SetMockTime(nStartTime); // Overrides future calls to GetTime()
CAddress addr(ip(0xa0b0c001), NODE_NONE);
- CNode dummyNode(id++, NODE_NETWORK, INVALID_SOCKET, addr, /* nKeyedNetGroupIn */ 4, /* nLocalHostNonceIn */ 4, CAddress(), /* pszDest */ "", ConnectionType::INBOUND, /* inbound_onion */ false);
+ CNode dummyNode{id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr,
+ /*nKeyedNetGroupIn=*/4,
+ /*nLocalHostNonceIn=*/4,
+ CAddress(),
+ /*addrNameIn=*/"",
+ ConnectionType::INBOUND,
+ /*inbound_onion=*/false};
dummyNode.SetCommonVersion(PROTOCOL_VERSION);
peerLogic->InitializeNode(&dummyNode);
dummyNode.fSuccessfullyConnected = true;
- peerLogic->Misbehaving(dummyNode.GetId(), DISCOURAGEMENT_THRESHOLD, /* message */ "");
+ peerLogic->Misbehaving(dummyNode.GetId(), DISCOURAGEMENT_THRESHOLD, /*message=*/"");
{
LOCK(dummyNode.cs_sendProcessing);
BOOST_CHECK(peerLogic->SendMessages(&dummyNode));
}
BOOST_CHECK(banman->IsDiscouraged(addr));
- bool dummy;
- peerLogic->FinalizeNode(dummyNode, dummy);
+ peerLogic->FinalizeNode(dummyNode);
}
class TxOrphanageTest : public TxOrphanage
@@ -306,7 +449,7 @@ static void MakeNewKeyWithFastRandomContext(CKey& key)
{
std::vector<unsigned char> keydata;
keydata = g_insecure_rand_ctx.randbytes(32);
- key.Set(keydata.data(), keydata.data() + keydata.size(), /*fCompressedIn*/ true);
+ key.Set(keydata.data(), keydata.data() + keydata.size(), /*fCompressedIn=*/true);
assert(key.IsValid());
}
diff --git a/src/test/descriptor_tests.cpp b/src/test/descriptor_tests.cpp
index acbd6a01ee..5a3e382c3f 100644
--- a/src/test/descriptor_tests.cpp
+++ b/src/test/descriptor_tests.cpp
@@ -1,7 +1,8 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <pubkey.h>
#include <script/descriptor.h>
#include <script/sign.h>
#include <script/standard.h>
@@ -10,6 +11,7 @@
#include <boost/test/unit_test.hpp>
+#include <optional>
#include <string>
#include <vector>
@@ -23,7 +25,15 @@ void CheckUnparsable(const std::string& prv, const std::string& pub, const std::
auto parse_pub = Parse(pub, keys_pub, error);
BOOST_CHECK_MESSAGE(!parse_priv, prv);
BOOST_CHECK_MESSAGE(!parse_pub, pub);
- BOOST_CHECK(error == expected_error);
+ BOOST_CHECK_EQUAL(error, expected_error);
+}
+
+/** Check that the script is inferred as non-standard */
+void CheckInferRaw(const CScript& script)
+{
+ FlatSigningProvider dummy_provider;
+ std::unique_ptr<Descriptor> desc = InferDescriptor(script, dummy_provider);
+ BOOST_CHECK(desc->ToString().rfind("raw(", 0) == 0);
}
constexpr int DEFAULT = 0;
@@ -32,6 +42,7 @@ constexpr int HARDENED = 2; // Derivation needs access to private keys
constexpr int UNSOLVABLE = 4; // This descriptor is not expected to be solvable
constexpr int SIGNABLE = 8; // We can sign with this descriptor (this is not true when actual BIP32 derivation is used, as that's not integrated in our signing code)
constexpr int DERIVE_HARDENED = 16; // The final derivation is hardened, i.e. ends with *' or *h
+constexpr int MIXED_PUBKEYS = 32;
/** Compare two descriptors. If only one of them has a checksum, the checksum is ignored. */
bool EqualDescriptor(std::string a, std::string b)
@@ -63,9 +74,21 @@ std::string UseHInsteadOfApostrophe(const std::string& desc)
return ret;
}
+// Count the number of times the string "xpub" appears in a descriptor string
+static size_t CountXpubs(const std::string& desc)
+{
+ size_t count = 0;
+ size_t p = desc.find("xpub", 0);
+ while (p != std::string::npos) {
+ count++;
+ p = desc.find("xpub", p + 1);
+ }
+ return count;
+}
+
const std::set<std::vector<uint32_t>> ONLY_EMPTY{{}};
-void DoCheck(const std::string& prv, const std::string& pub, const std::string& norm_prv, const std::string& norm_pub, int flags, const std::vector<std::vector<std::string>>& scripts, const Optional<OutputType>& type, const std::set<std::vector<uint32_t>>& paths = ONLY_EMPTY,
+void DoCheck(const std::string& prv, const std::string& pub, const std::string& norm_prv, const std::string& norm_pub, int flags, const std::vector<std::vector<std::string>>& scripts, const std::optional<OutputType>& type, const std::set<std::vector<uint32_t>>& paths = ONLY_EMPTY,
bool replace_apostrophe_with_h_in_prv=false, bool replace_apostrophe_with_h_in_pub=false)
{
FlatSigningProvider keys_priv, keys_pub;
@@ -114,14 +137,10 @@ void DoCheck(const std::string& prv, const std::string& pub, const std::string&
// Check that private can produce the normalized descriptors
std::string norm1;
- BOOST_CHECK(parse_priv->ToNormalizedString(keys_priv, norm1, false));
+ BOOST_CHECK(parse_priv->ToNormalizedString(keys_priv, norm1));
BOOST_CHECK(EqualDescriptor(norm1, norm_pub));
- BOOST_CHECK(parse_pub->ToNormalizedString(keys_priv, norm1, false));
+ BOOST_CHECK(parse_pub->ToNormalizedString(keys_priv, norm1));
BOOST_CHECK(EqualDescriptor(norm1, norm_pub));
- BOOST_CHECK(parse_priv->ToNormalizedString(keys_priv, norm1, true));
- BOOST_CHECK(EqualDescriptor(norm1, norm_prv));
- BOOST_CHECK(parse_pub->ToNormalizedString(keys_priv, norm1, true));
- BOOST_CHECK(EqualDescriptor(norm1, norm_prv));
// Check whether IsRange on both returns the expected result
BOOST_CHECK_EQUAL(parse_pub->IsRange(), (flags & RANGE) != 0);
@@ -165,7 +184,8 @@ void DoCheck(const std::string& prv, const std::string& pub, const std::string&
// Check whether keys are in the cache
const auto& der_xpub_cache = desc_cache.GetCachedDerivedExtPubKeys();
const auto& parent_xpub_cache = desc_cache.GetCachedParentExtPubKeys();
- if ((flags & RANGE) && !(flags & DERIVE_HARDENED)) {
+ const size_t num_xpubs = CountXpubs(pub1);
+ if ((flags & RANGE) && !(flags & (DERIVE_HARDENED))) {
// For ranged, unhardened derivation, None of the keys in origins should appear in the cache but the cache should have parent keys
// But we can derive one level from each of those parent keys and find them all
BOOST_CHECK(der_xpub_cache.empty());
@@ -177,13 +197,22 @@ void DoCheck(const std::string& prv, const std::string& pub, const std::string&
xpub.Derive(der, i);
pubkeys.insert(der.pubkey);
}
+ int count_pks = 0;
for (const auto& origin_pair : script_provider_cached.origins) {
const CPubKey& pk = origin_pair.second.first;
- BOOST_CHECK(pubkeys.count(pk) > 0);
+ count_pks += pubkeys.count(pk);
+ }
+ if (flags & MIXED_PUBKEYS) {
+ BOOST_CHECK_EQUAL(num_xpubs, count_pks);
+ } else {
+ BOOST_CHECK_EQUAL(script_provider_cached.origins.size(), count_pks);
}
- } else if (pub1.find("xpub") != std::string::npos) {
+ } else if (num_xpubs > 0) {
// For ranged, hardened derivation, or not ranged, but has an xpub, all of the keys should appear in the cache
- BOOST_CHECK(der_xpub_cache.size() + parent_xpub_cache.size() == script_provider_cached.origins.size());
+ BOOST_CHECK(der_xpub_cache.size() + parent_xpub_cache.size() == num_xpubs);
+ if (!(flags & MIXED_PUBKEYS)) {
+ BOOST_CHECK(num_xpubs == script_provider_cached.origins.size());
+ }
// Get all of the derived pubkeys
std::set<CPubKey> pubkeys;
for (const auto& xpub_map_pair : der_xpub_cache) {
@@ -200,12 +229,18 @@ void DoCheck(const std::string& prv, const std::string& pub, const std::string&
xpub.Derive(der, i);
pubkeys.insert(der.pubkey);
}
+ int count_pks = 0;
for (const auto& origin_pair : script_provider_cached.origins) {
const CPubKey& pk = origin_pair.second.first;
- BOOST_CHECK(pubkeys.count(pk) > 0);
+ count_pks += pubkeys.count(pk);
+ }
+ if (flags & MIXED_PUBKEYS) {
+ BOOST_CHECK_EQUAL(num_xpubs, count_pks);
+ } else {
+ BOOST_CHECK_EQUAL(script_provider_cached.origins.size(), count_pks);
}
- } else {
- // No xpub, nothing should be cached
+ } else if (!(flags & MIXED_PUBKEYS)) {
+ // Only const pubkeys, nothing should be cached
BOOST_CHECK(der_xpub_cache.empty());
BOOST_CHECK(parent_xpub_cache.empty());
}
@@ -262,7 +297,7 @@ void DoCheck(const std::string& prv, const std::string& pub, const std::string&
BOOST_CHECK_MESSAGE(left_paths.empty(), "Not all expected key paths found: " + prv);
}
-void Check(const std::string& prv, const std::string& pub, const std::string& norm_prv, const std::string& norm_pub, int flags, const std::vector<std::vector<std::string>>& scripts, const Optional<OutputType>& type, const std::set<std::vector<uint32_t>>& paths = ONLY_EMPTY)
+void Check(const std::string& prv, const std::string& pub, const std::string& norm_prv, const std::string& norm_pub, int flags, const std::vector<std::vector<std::string>>& scripts, const std::optional<OutputType>& type, const std::set<std::vector<uint32_t>>& paths = ONLY_EMPTY)
{
bool found_apostrophes_in_prv = false;
bool found_apostrophes_in_pub = false;
@@ -295,8 +330,8 @@ BOOST_FIXTURE_TEST_SUITE(descriptor_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(descriptor_test)
{
// Basic single-key compressed
- Check("combo(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "combo(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "combo(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "combo(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"2103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bdac","76a9149a1c78a507689f6f54b847ad1cef1e614ee23f1e88ac","00149a1c78a507689f6f54b847ad1cef1e614ee23f1e","a91484ab21b1b2fd065d4504ff693d832434b6108d7b87"}}, nullopt);
- Check("pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"2103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bdac"}}, nullopt);
+ Check("combo(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "combo(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "combo(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "combo(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"2103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bdac","76a9149a1c78a507689f6f54b847ad1cef1e614ee23f1e88ac","00149a1c78a507689f6f54b847ad1cef1e614ee23f1e","a91484ab21b1b2fd065d4504ff693d832434b6108d7b87"}}, std::nullopt);
+ Check("pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"2103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bdac"}}, std::nullopt);
Check("pkh([deadbeef/1/2'/3/4']L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "pkh([deadbeef/1/2'/3/4']03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "pkh([deadbeef/1/2'/3/4']L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "pkh([deadbeef/1/2'/3/4']03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"76a9149a1c78a507689f6f54b847ad1cef1e614ee23f1e88ac"}}, OutputType::LEGACY, {{1,0x80000002UL,3,0x80000004UL}});
Check("wpkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "wpkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "wpkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "wpkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"00149a1c78a507689f6f54b847ad1cef1e614ee23f1e"}}, OutputType::BECH32);
Check("sh(wpkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))", "sh(wpkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", "sh(wpkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))", "sh(wpkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", SIGNABLE, {{"a91484ab21b1b2fd065d4504ff693d832434b6108d7b87"}}, OutputType::P2SH_SEGWIT);
@@ -305,8 +340,8 @@ BOOST_AUTO_TEST_CASE(descriptor_test)
CheckUnparsable("pkh([deadbeef]/1/2'/3/4']L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "pkh([deadbeef]/1/2'/3/4']03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "Multiple ']' characters found for a single pubkey"); // Multiple end brackets in key origin
// Basic single-key uncompressed
- Check("combo(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "combo(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "combo(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "combo(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)",SIGNABLE, {{"4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235ac","76a914b5bd079c4d57cc7fc28ecf8213a6b791625b818388ac"}}, nullopt);
- Check("pk(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "pk(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "pk(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "pk(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", SIGNABLE, {{"4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235ac"}}, nullopt);
+ Check("combo(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "combo(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "combo(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "combo(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)",SIGNABLE, {{"4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235ac","76a914b5bd079c4d57cc7fc28ecf8213a6b791625b818388ac"}}, std::nullopt);
+ Check("pk(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "pk(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "pk(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "pk(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", SIGNABLE, {{"4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235ac"}}, std::nullopt);
Check("pkh(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "pkh(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "pkh(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "pkh(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", SIGNABLE, {{"76a914b5bd079c4d57cc7fc28ecf8213a6b791625b818388ac"}}, OutputType::LEGACY);
CheckUnparsable("wpkh(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "wpkh(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "Uncompressed keys are not allowed"); // No uncompressed keys in witness
CheckUnparsable("wsh(pk(5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss))", "wsh(pk(04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235))", "Uncompressed keys are not allowed"); // No uncompressed keys in witness
@@ -321,23 +356,28 @@ BOOST_AUTO_TEST_CASE(descriptor_test)
Check("sh(wsh(pkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "sh(wsh(pkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", "sh(wsh(pkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "sh(wsh(pkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", SIGNABLE, {{"a914b61b92e2ca21bac1e72a3ab859a742982bea960a87"}}, OutputType::P2SH_SEGWIT);
// Versions with BIP32 derivations
- Check("combo([01234567]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc)", "combo([01234567]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL)", "combo([01234567]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc)", "combo([01234567]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL)", SIGNABLE, {{"2102d2b36900396c9282fa14628566582f206a5dd0bcc8d5e892611806cafb0301f0ac","76a91431a507b815593dfc51ffc7245ae7e5aee304246e88ac","001431a507b815593dfc51ffc7245ae7e5aee304246e","a9142aafb926eb247cb18240a7f4c07983ad1f37922687"}}, nullopt);
- Check("pk(xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0)", "pk(xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0)", "pk(xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0)", "pk(xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0)", DEFAULT, {{"210379e45b3cf75f9c5f9befd8e9506fb962f6a9d185ac87001ec44a8d3df8d4a9e3ac"}}, nullopt, {{0}});
+ Check("combo([01234567]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc)", "combo([01234567]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL)", "combo([01234567]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc)", "combo([01234567]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL)", SIGNABLE, {{"2102d2b36900396c9282fa14628566582f206a5dd0bcc8d5e892611806cafb0301f0ac","76a91431a507b815593dfc51ffc7245ae7e5aee304246e88ac","001431a507b815593dfc51ffc7245ae7e5aee304246e","a9142aafb926eb247cb18240a7f4c07983ad1f37922687"}}, std::nullopt);
+ Check("pk(xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0)", "pk(xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0)", "pk(xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0)", "pk(xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0)", DEFAULT, {{"210379e45b3cf75f9c5f9befd8e9506fb962f6a9d185ac87001ec44a8d3df8d4a9e3ac"}}, std::nullopt, {{0}});
Check("pkh(xprv9s21ZrQH143K31xYSDQpPDxsXRTUcvj2iNHm5NUtrGiGG5e2DtALGdso3pGz6ssrdK4PFmM8NSpSBHNqPqm55Qn3LqFtT2emdEXVYsCzC2U/2147483647'/0)", "pkh(xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB/2147483647'/0)", "pkh([bd16bee5/2147483647']xprv9vHkqa6XAPwKqSKSEJMcAB3yoCZhaSVsGZbSkFY5L3Lfjjk8sjZucbsbvEw5o3QrSA69nPfZDCgFnNnLhQ2ohpZuwummndnPasDw2Qr6dC2/0)", "pkh([bd16bee5/2147483647']xpub69H7F5dQzmVd3vPuLKtcXJziMEQByuDidnX3YdwgtNsecY5HRGtAAQC5mXTt4dsv9RzyjgDjAQs9VGVV6ydYCHnprc9vvaA5YtqWyL6hyds/0)", HARDENED, {{"76a914ebdc90806a9c4356c1c88e42216611e1cb4c1c1788ac"}}, OutputType::LEGACY, {{0xFFFFFFFFUL,0}});
Check("wpkh([ffffffff/13']xprv9vHkqa6EV4sPZHYqZznhT2NPtPCjKuDKGY38FBWLvgaDx45zo9WQRUT3dKYnjwih2yJD9mkrocEZXo1ex8G81dwSM1fwqWpWkeS3v86pgKt/1/2/*)", "wpkh([ffffffff/13']xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH/1/2/*)", "wpkh([ffffffff/13']xprv9vHkqa6EV4sPZHYqZznhT2NPtPCjKuDKGY38FBWLvgaDx45zo9WQRUT3dKYnjwih2yJD9mkrocEZXo1ex8G81dwSM1fwqWpWkeS3v86pgKt/1/2/*)", "wpkh([ffffffff/13']xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH/1/2/*)", RANGE, {{"0014326b2249e3a25d5dc60935f044ee835d090ba859"},{"0014af0bd98abc2f2cae66e36896a39ffe2d32984fb7"},{"00141fa798efd1cbf95cebf912c031b8a4a6e9fb9f27"}}, OutputType::BECH32, {{0x8000000DUL, 1, 2, 0}, {0x8000000DUL, 1, 2, 1}, {0x8000000DUL, 1, 2, 2}});
Check("sh(wpkh(xprv9s21ZrQH143K3QTDL4LXw2F7HEK3wJUD2nW2nRk4stbPy6cq3jPPqjiChkVvvNKmPGJxWUtg6LnF5kejMRNNU3TGtRBeJgk33yuGBxrMPHi/10/20/30/40/*'))", "sh(wpkh(xpub661MyMwAqRbcFtXgS5sYJABqqG9YLmC4Q1Rdap9gSE8NqtwybGhePY2gZ29ESFjqJoCu1Rupje8YtGqsefD265TMg7usUDFdp6W1EGMcet8/10/20/30/40/*'))", "sh(wpkh(xprv9s21ZrQH143K3QTDL4LXw2F7HEK3wJUD2nW2nRk4stbPy6cq3jPPqjiChkVvvNKmPGJxWUtg6LnF5kejMRNNU3TGtRBeJgk33yuGBxrMPHi/10/20/30/40/*'))", "sh(wpkh(xpub661MyMwAqRbcFtXgS5sYJABqqG9YLmC4Q1Rdap9gSE8NqtwybGhePY2gZ29ESFjqJoCu1Rupje8YtGqsefD265TMg7usUDFdp6W1EGMcet8/10/20/30/40/*'))", RANGE | HARDENED | DERIVE_HARDENED, {{"a9149a4d9901d6af519b2a23d4a2f51650fcba87ce7b87"},{"a914bed59fc0024fae941d6e20a3b44a109ae740129287"},{"a9148483aa1116eb9c05c482a72bada4b1db24af654387"}}, OutputType::P2SH_SEGWIT, {{10, 20, 30, 40, 0x80000000UL}, {10, 20, 30, 40, 0x80000001UL}, {10, 20, 30, 40, 0x80000002UL}});
- Check("combo(xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/*)", "combo(xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/*)", "combo(xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/*)", "combo(xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/*)", RANGE, {{"2102df12b7035bdac8e3bab862a3a83d06ea6b17b6753d52edecba9be46f5d09e076ac","76a914f90e3178ca25f2c808dc76624032d352fdbdfaf288ac","0014f90e3178ca25f2c808dc76624032d352fdbdfaf2","a91408f3ea8c68d4a7585bf9e8bda226723f70e445f087"},{"21032869a233c9adff9a994e4966e5b821fd5bac066da6c3112488dc52383b4a98ecac","76a914a8409d1b6dfb1ed2a3e8aa5e0ef2ff26b15b75b788ac","0014a8409d1b6dfb1ed2a3e8aa5e0ef2ff26b15b75b7","a91473e39884cb71ae4e5ac9739e9225026c99763e6687"}}, nullopt, {{0}, {1}});
+ Check("combo(xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/*)", "combo(xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/*)", "combo(xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/*)", "combo(xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/*)", RANGE, {{"2102df12b7035bdac8e3bab862a3a83d06ea6b17b6753d52edecba9be46f5d09e076ac","76a914f90e3178ca25f2c808dc76624032d352fdbdfaf288ac","0014f90e3178ca25f2c808dc76624032d352fdbdfaf2","a91408f3ea8c68d4a7585bf9e8bda226723f70e445f087"},{"21032869a233c9adff9a994e4966e5b821fd5bac066da6c3112488dc52383b4a98ecac","76a914a8409d1b6dfb1ed2a3e8aa5e0ef2ff26b15b75b788ac","0014a8409d1b6dfb1ed2a3e8aa5e0ef2ff26b15b75b7","a91473e39884cb71ae4e5ac9739e9225026c99763e6687"}}, std::nullopt, {{0}, {1}});
+ // Mixed xpubs and const pubkeys
+ Check("wsh(multi(1,xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/0,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))","wsh(multi(1,xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/0,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))","wsh(multi(1,xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/0,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))","wsh(multi(1,xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/0,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", MIXED_PUBKEYS, {{"0020cb155486048b23a6da976d4c6fe071a2dbc8a7b57aaf225b8955f2e2a27b5f00"}},OutputType::BECH32,{{0},{}});
+ // Mixed range xpubs and const pubkeys
+ Check("multi(1,xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/*,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)","multi(1,xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/*,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)","multi(1,xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334/*,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)","multi(1,xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV/*,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", RANGE | MIXED_PUBKEYS, {{"512102df12b7035bdac8e3bab862a3a83d06ea6b17b6753d52edecba9be46f5d09e0762103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd52ae"},{"5121032869a233c9adff9a994e4966e5b821fd5bac066da6c3112488dc52383b4a98ec2103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd52ae"},{"5121035d30b6c66dc1e036c45369da8287518cf7e0d6ed1e2b905171c605708f14ca032103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd52ae"}}, std::nullopt,{{2},{1},{0},{}});
+
CheckUnparsable("combo([012345678]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc)", "combo([012345678]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL)", "Fingerprint is not 4 bytes (9 characters instead of 8 characters)"); // Too long key fingerprint
CheckUnparsable("pkh(xprv9s21ZrQH143K31xYSDQpPDxsXRTUcvj2iNHm5NUtrGiGG5e2DtALGdso3pGz6ssrdK4PFmM8NSpSBHNqPqm55Qn3LqFtT2emdEXVYsCzC2U/2147483648)", "pkh(xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB/2147483648)", "Key path value 2147483648 is out of range"); // BIP 32 path element overflow
CheckUnparsable("pkh(xprv9s21ZrQH143K31xYSDQpPDxsXRTUcvj2iNHm5NUtrGiGG5e2DtALGdso3pGz6ssrdK4PFmM8NSpSBHNqPqm55Qn3LqFtT2emdEXVYsCzC2U/1aa)", "pkh(xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB/1aa)", "Key path value '1aa' is not a valid uint32"); // Path is not valid uint
Check("pkh([01234567/10/20]xprv9s21ZrQH143K31xYSDQpPDxsXRTUcvj2iNHm5NUtrGiGG5e2DtALGdso3pGz6ssrdK4PFmM8NSpSBHNqPqm55Qn3LqFtT2emdEXVYsCzC2U/2147483647'/0)", "pkh([01234567/10/20]xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB/2147483647'/0)", "pkh([01234567/10/20/2147483647']xprv9vHkqa6XAPwKqSKSEJMcAB3yoCZhaSVsGZbSkFY5L3Lfjjk8sjZucbsbvEw5o3QrSA69nPfZDCgFnNnLhQ2ohpZuwummndnPasDw2Qr6dC2/0)", "pkh([01234567/10/20/2147483647']xpub69H7F5dQzmVd3vPuLKtcXJziMEQByuDidnX3YdwgtNsecY5HRGtAAQC5mXTt4dsv9RzyjgDjAQs9VGVV6ydYCHnprc9vvaA5YtqWyL6hyds/0)", HARDENED, {{"76a914ebdc90806a9c4356c1c88e42216611e1cb4c1c1788ac"}}, OutputType::LEGACY, {{10, 20, 0xFFFFFFFFUL, 0}});
// Multisig constructions
- Check("multi(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "multi(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "multi(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "multi(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", SIGNABLE, {{"512103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea23552ae"}}, nullopt);
- Check("sortedmulti(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "sortedmulti(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "sortedmulti(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "sortedmulti(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", SIGNABLE, {{"512103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea23552ae"}}, nullopt);
- Check("sortedmulti(1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "sortedmulti(1,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "sortedmulti(1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "sortedmulti(1,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"512103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea23552ae"}}, nullopt);
+ Check("multi(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "multi(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "multi(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "multi(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", SIGNABLE, {{"512103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea23552ae"}}, std::nullopt);
+ Check("sortedmulti(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "sortedmulti(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "sortedmulti(1,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "sortedmulti(1,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", SIGNABLE, {{"512103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea23552ae"}}, std::nullopt);
+ Check("sortedmulti(1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "sortedmulti(1,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "sortedmulti(1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "sortedmulti(1,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", SIGNABLE, {{"512103a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd4104a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea23552ae"}}, std::nullopt);
Check("sh(multi(2,[00000000/111'/222]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0))", "sh(multi(2,[00000000/111'/222]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0))", "sh(multi(2,[00000000/111'/222]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0))", "sh(multi(2,[00000000/111'/222]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0))", DEFAULT, {{"a91445a9a622a8b0a1269944be477640eedc447bbd8487"}}, OutputType::LEGACY, {{0x8000006FUL,222},{0}});
- Check("sortedmulti(2,xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc/*,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0/0/*)", "sortedmulti(2,xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL/*,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0/0/*)", "sortedmulti(2,xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc/*,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0/0/*)", "sortedmulti(2,xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL/*,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0/0/*)", RANGE, {{"5221025d5fc65ebb8d44a5274b53bac21ff8307fec2334a32df05553459f8b1f7fe1b62102fbd47cc8034098f0e6a94c6aeee8528abf0a2153a5d8e46d325b7284c046784652ae"}, {"52210264fd4d1f5dea8ded94c61e9641309349b62f27fbffe807291f664e286bfbe6472103f4ece6dfccfa37b211eb3d0af4d0c61dba9ef698622dc17eecdf764beeb005a652ae"}, {"5221022ccabda84c30bad578b13c89eb3b9544ce149787e5b538175b1d1ba259cbb83321024d902e1a2fc7a8755ab5b694c575fce742c48d9ff192e63df5193e4c7afe1f9c52ae"}}, nullopt, {{0}, {1}, {2}, {0, 0, 0}, {0, 0, 1}, {0, 0, 2}});
+ Check("sortedmulti(2,xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc/*,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0/0/*)", "sortedmulti(2,xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL/*,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0/0/*)", "sortedmulti(2,xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc/*,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0/0/*)", "sortedmulti(2,xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL/*,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0/0/*)", RANGE, {{"5221025d5fc65ebb8d44a5274b53bac21ff8307fec2334a32df05553459f8b1f7fe1b62102fbd47cc8034098f0e6a94c6aeee8528abf0a2153a5d8e46d325b7284c046784652ae"}, {"52210264fd4d1f5dea8ded94c61e9641309349b62f27fbffe807291f664e286bfbe6472103f4ece6dfccfa37b211eb3d0af4d0c61dba9ef698622dc17eecdf764beeb005a652ae"}, {"5221022ccabda84c30bad578b13c89eb3b9544ce149787e5b538175b1d1ba259cbb83321024d902e1a2fc7a8755ab5b694c575fce742c48d9ff192e63df5193e4c7afe1f9c52ae"}}, std::nullopt, {{0}, {1}, {2}, {0, 0, 0}, {0, 0, 1}, {0, 0, 2}});
Check("wsh(multi(2,xprv9s21ZrQH143K31xYSDQpPDxsXRTUcvj2iNHm5NUtrGiGG5e2DtALGdso3pGz6ssrdK4PFmM8NSpSBHNqPqm55Qn3LqFtT2emdEXVYsCzC2U/2147483647'/0,xprv9vHkqa6EV4sPZHYqZznhT2NPtPCjKuDKGY38FBWLvgaDx45zo9WQRUT3dKYnjwih2yJD9mkrocEZXo1ex8G81dwSM1fwqWpWkeS3v86pgKt/1/2/*,xprv9s21ZrQH143K3QTDL4LXw2F7HEK3wJUD2nW2nRk4stbPy6cq3jPPqjiChkVvvNKmPGJxWUtg6LnF5kejMRNNU3TGtRBeJgk33yuGBxrMPHi/10/20/30/40/*'))", "wsh(multi(2,xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB/2147483647'/0,xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH/1/2/*,xpub661MyMwAqRbcFtXgS5sYJABqqG9YLmC4Q1Rdap9gSE8NqtwybGhePY2gZ29ESFjqJoCu1Rupje8YtGqsefD265TMg7usUDFdp6W1EGMcet8/10/20/30/40/*'))", "wsh(multi(2,[bd16bee5/2147483647']xprv9vHkqa6XAPwKqSKSEJMcAB3yoCZhaSVsGZbSkFY5L3Lfjjk8sjZucbsbvEw5o3QrSA69nPfZDCgFnNnLhQ2ohpZuwummndnPasDw2Qr6dC2/0,xprv9vHkqa6EV4sPZHYqZznhT2NPtPCjKuDKGY38FBWLvgaDx45zo9WQRUT3dKYnjwih2yJD9mkrocEZXo1ex8G81dwSM1fwqWpWkeS3v86pgKt/1/2/*,xprv9s21ZrQH143K3QTDL4LXw2F7HEK3wJUD2nW2nRk4stbPy6cq3jPPqjiChkVvvNKmPGJxWUtg6LnF5kejMRNNU3TGtRBeJgk33yuGBxrMPHi/10/20/30/40/*'))", "wsh(multi(2,[bd16bee5/2147483647']xpub69H7F5dQzmVd3vPuLKtcXJziMEQByuDidnX3YdwgtNsecY5HRGtAAQC5mXTt4dsv9RzyjgDjAQs9VGVV6ydYCHnprc9vvaA5YtqWyL6hyds/0,xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH/1/2/*,xpub661MyMwAqRbcFtXgS5sYJABqqG9YLmC4Q1Rdap9gSE8NqtwybGhePY2gZ29ESFjqJoCu1Rupje8YtGqsefD265TMg7usUDFdp6W1EGMcet8/10/20/30/40/*'))", HARDENED | RANGE | DERIVE_HARDENED, {{"0020b92623201f3bb7c3771d45b2ad1d0351ea8fbf8cfe0a0e570264e1075fa1948f"},{"002036a08bbe4923af41cf4316817c93b8d37e2f635dd25cfff06bd50df6ae7ea203"},{"0020a96e7ab4607ca6b261bfe3245ffda9c746b28d3f59e83d34820ec0e2b36c139c"}}, OutputType::BECH32, {{0xFFFFFFFFUL,0}, {1,2,0}, {1,2,1}, {1,2,2}, {10, 20, 30, 40, 0x80000000UL}, {10, 20, 30, 40, 0x80000001UL}, {10, 20, 30, 40, 0x80000002UL}});
Check("sh(wsh(multi(16,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9)))","sh(wsh(multi(16,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232)))", "sh(wsh(multi(16,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9)))","sh(wsh(multi(16,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232)))", SIGNABLE, {{"a9147fc63e13dc25e8a95a3cee3d9a714ac3afd96f1e87"}}, OutputType::P2SH_SEGWIT);
CheckUnparsable("sh(multi(16,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9))","sh(multi(16,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232))", "P2SH script is too large, 547 bytes is larger than 520 bytes"); // P2SH does not fit 16 compressed pubkeys in a redeemscript
@@ -350,16 +390,17 @@ BOOST_AUTO_TEST_CASE(descriptor_test)
CheckUnparsable("multi(0,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "multi(0,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "Multisig threshold cannot be 0, must be at least 1"); // Threshold of 0
CheckUnparsable("multi(3,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1,5KYZdUEo39z3FPrtuX2QbbwGnNP5zTd7yyr2SC1j299sBCnWjss)", "multi(3,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd,04a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd5b8dec5235a0fa8722476c7709c02559e3aa73aa03918ba2d492eea75abea235)", "Multisig threshold cannot be larger than the number of keys; threshold is 3 but only 2 keys specified"); // Threshold larger than number of keys
CheckUnparsable("multi(3,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f)", "multi(3,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8)", "Cannot have 4 pubkeys in bare multisig; only at most 3 pubkeys"); // Threshold larger than number of keys
- CheckUnparsable("sh(multi(16,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))","sh(multi(16,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", "Cannot have 17 keys in multisig; must have between 1 and 16 keys, inclusive"); // Cannot have more than 16 keys in a multisig
-
+ CheckUnparsable("sh(multi(16,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9,L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))","sh(multi(16,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232,03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", "P2SH script is too large, 581 bytes is larger than 520 bytes"); // Cannot have more than 15 keys in a P2SH multisig, or we exceed maximum push size
+ Check("wsh(multi(20,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9,KzRedjSwMggebB3VufhbzpYJnvHfHe9kPJSjCU5QpJdAW3NSZxYS,Kyjtp5858xL7JfeV4PNRCKy2t6XvgqNNepArGY9F9F1SSPqNEMs3,L2D4RLHPiHBidkHS8ftx11jJk1hGFELvxh8LoxNQheaGT58dKenW,KyLPZdwY4td98bKkXqEXTEBX3vwEYTQo1yyLjX2jKXA63GBpmSjv))","wsh(multi(20,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232,02bc2feaa536991d269aae46abb8f3772a5b3ad592314945e51543e7da84c4af6e,0318bf32e5217c1eb771a6d5ce1cd39395dff7ff665704f175c9a5451d95a2f2ca,02c681a6243f16208c2004bb81f5a8a67edfdd3e3711534eadeec3dcf0b010c759,0249fdd6b69768b8d84b4893f8ff84b36835c50183de20fcae8f366a45290d01fd))", "wsh(multi(20,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9,KzRedjSwMggebB3VufhbzpYJnvHfHe9kPJSjCU5QpJdAW3NSZxYS,Kyjtp5858xL7JfeV4PNRCKy2t6XvgqNNepArGY9F9F1SSPqNEMs3,L2D4RLHPiHBidkHS8ftx11jJk1hGFELvxh8LoxNQheaGT58dKenW,KyLPZdwY4td98bKkXqEXTEBX3vwEYTQo1yyLjX2jKXA63GBpmSjv))","wsh(multi(20,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232,02bc2feaa536991d269aae46abb8f3772a5b3ad592314945e51543e7da84c4af6e,0318bf32e5217c1eb771a6d5ce1cd39395dff7ff665704f175c9a5451d95a2f2ca,02c681a6243f16208c2004bb81f5a8a67edfdd3e3711534eadeec3dcf0b010c759,0249fdd6b69768b8d84b4893f8ff84b36835c50183de20fcae8f366a45290d01fd))", SIGNABLE, {{"0020376bd8344b8b6ebe504ff85ef743eaa1aa9272178223bcb6887e9378efb341ac"}}, OutputType::BECH32); // In P2WSH we can have up to 20 keys
+Check("sh(wsh(multi(20,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9,KzRedjSwMggebB3VufhbzpYJnvHfHe9kPJSjCU5QpJdAW3NSZxYS,Kyjtp5858xL7JfeV4PNRCKy2t6XvgqNNepArGY9F9F1SSPqNEMs3,L2D4RLHPiHBidkHS8ftx11jJk1hGFELvxh8LoxNQheaGT58dKenW,KyLPZdwY4td98bKkXqEXTEBX3vwEYTQo1yyLjX2jKXA63GBpmSjv)))","sh(wsh(multi(20,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232,02bc2feaa536991d269aae46abb8f3772a5b3ad592314945e51543e7da84c4af6e,0318bf32e5217c1eb771a6d5ce1cd39395dff7ff665704f175c9a5451d95a2f2ca,02c681a6243f16208c2004bb81f5a8a67edfdd3e3711534eadeec3dcf0b010c759,0249fdd6b69768b8d84b4893f8ff84b36835c50183de20fcae8f366a45290d01fd)))", "sh(wsh(multi(20,KzoAz5CanayRKex3fSLQ2BwJpN7U52gZvxMyk78nDMHuqrUxuSJy,KwGNz6YCCQtYvFzMtrC6D3tKTKdBBboMrLTsjr2NYVBwapCkn7Mr,KxogYhiNfwxuswvXV66eFyKcCpm7dZ7TqHVqujHAVUjJxyivxQ9X,L2BUNduTSyZwZjwNHynQTF14mv2uz2NRq5n5sYWTb4FkkmqgEE9f,L1okJGHGn1kFjdXHKxXjwVVtmCMR2JA5QsbKCSpSb7ReQjezKeoD,KxDCNSST75HFPaW5QKpzHtAyaCQC7p9Vo3FYfi2u4dXD1vgMiboK,L5edQjFtnkcf5UWURn6UuuoFrabgDQUHdheKCziwN42aLwS3KizU,KzF8UWFcEC7BYTq8Go1xVimMkDmyNYVmXV5PV7RuDicvAocoPB8i,L3nHUboKG2w4VSJ5jYZ5CBM97oeK6YuKvfZxrefdShECcjEYKMWZ,KyjHo36dWkYhimKmVVmQTq3gERv3pnqA4xFCpvUgbGDJad7eS8WE,KwsfyHKRUTZPQtysN7M3tZ4GXTnuov5XRgjdF2XCG8faAPmFruRF,KzCUbGhN9LJhdeFfL9zQgTJMjqxdBKEekRGZX24hXdgCNCijkkap,KzgpMBwwsDLwkaC5UrmBgCYaBD2WgZ7PBoGYXR8KT7gCA9UTN5a3,KyBXTPy4T7YG4q9tcAM3LkvfRpD1ybHMvcJ2ehaWXaSqeGUxEdkP,KzJDe9iwJRPtKP2F2AoN6zBgzS7uiuAwhWCfGdNeYJ3PC1HNJ8M8,L1xbHrxynrqLKkoYc4qtoQPx6uy5qYXR5ZDYVYBSRmCV5piU3JG9,KzRedjSwMggebB3VufhbzpYJnvHfHe9kPJSjCU5QpJdAW3NSZxYS,Kyjtp5858xL7JfeV4PNRCKy2t6XvgqNNepArGY9F9F1SSPqNEMs3,L2D4RLHPiHBidkHS8ftx11jJk1hGFELvxh8LoxNQheaGT58dKenW,KyLPZdwY4td98bKkXqEXTEBX3vwEYTQo1yyLjX2jKXA63GBpmSjv)))","sh(wsh(multi(20,03669b8afcec803a0d323e9a17f3ea8e68e8abe5a278020a929adbec52421adbd0,0260b2003c386519fc9eadf2b5cf124dd8eea4c4e68d5e154050a9346ea98ce600,0362a74e399c39ed5593852a30147f2959b56bb827dfa3e60e464b02ccf87dc5e8,0261345b53de74a4d721ef877c255429961b7e43714171ac06168d7e08c542a8b8,02da72e8b46901a65d4374fe6315538d8f368557dda3a1dcf9ea903f3afe7314c8,0318c82dd0b53fd3a932d16e0ba9e278fcc937c582d5781be626ff16e201f72286,0297ccef1ef99f9d73dec9ad37476ddb232f1238aff877af19e72ba04493361009,02e502cfd5c3f972fe9a3e2a18827820638f96b6f347e54d63deb839011fd5765d,03e687710f0e3ebe81c1037074da939d409c0025f17eb86adb9427d28f0f7ae0e9,02c04d3a5274952acdbc76987f3184b346a483d43be40874624b29e3692c1df5af,02ed06e0f418b5b43a7ec01d1d7d27290fa15f75771cb69b642a51471c29c84acd,036d46073cbb9ffee90473f3da429abc8de7f8751199da44485682a989a4bebb24,02f5d1ff7c9029a80a4e36b9a5497027ef7f3e73384a4a94fbfe7c4e9164eec8bc,02e41deffd1b7cce11cde209a781adcffdabd1b91c0ba0375857a2bfd9302419f3,02d76625f7956a7fc505ab02556c23ee72d832f1bac391bcd2d3abce5710a13d06,0399eb0a5487515802dc14544cf10b3666623762fbed2ec38a3975716e2c29c232,02bc2feaa536991d269aae46abb8f3772a5b3ad592314945e51543e7da84c4af6e,0318bf32e5217c1eb771a6d5ce1cd39395dff7ff665704f175c9a5451d95a2f2ca,02c681a6243f16208c2004bb81f5a8a67edfdd3e3711534eadeec3dcf0b010c759,0249fdd6b69768b8d84b4893f8ff84b36835c50183de20fcae8f366a45290d01fd)))", SIGNABLE, {{"a914c2c9c510e9d7f92fd6131e94803a8d34a8ef675e87"}}, OutputType::P2SH_SEGWIT); // Even if it's wrapped into P2SH
// Check for invalid nesting of structures
CheckUnparsable("sh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "sh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "A function is needed within P2SH"); // P2SH needs a script, not a key
- CheckUnparsable("sh(combo(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))", "sh(combo(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", "Cannot have combo in non-top level"); // Old must be top level
+ CheckUnparsable("sh(combo(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))", "sh(combo(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", "Can only have combo() at top level"); // Old must be top level
CheckUnparsable("wsh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)", "wsh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)", "A function is needed within P2WSH"); // P2WSH needs a script, not a key
- CheckUnparsable("wsh(wpkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))", "wsh(wpkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", "Cannot have wpkh within wsh"); // Cannot embed witness inside witness
- CheckUnparsable("wsh(sh(pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "wsh(sh(pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", "Cannot have sh in non-top level"); // Cannot embed P2SH inside P2WSH
- CheckUnparsable("sh(sh(pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "sh(sh(pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", "Cannot have sh in non-top level"); // Cannot embed P2SH inside P2SH
- CheckUnparsable("wsh(wsh(pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "wsh(wsh(pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", "Cannot have wsh within wsh"); // Cannot embed P2WSH inside P2WSH
+ CheckUnparsable("wsh(wpkh(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1))", "wsh(wpkh(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd))", "Can only have wpkh() at top level or inside sh()"); // Cannot embed witness inside witness
+ CheckUnparsable("wsh(sh(pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "wsh(sh(pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", "Can only have sh() at top level"); // Cannot embed P2SH inside P2WSH
+ CheckUnparsable("sh(sh(pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "sh(sh(pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", "Can only have sh() at top level"); // Cannot embed P2SH inside P2SH
+ CheckUnparsable("wsh(wsh(pk(L4rK1yDtCWekvXuE6oXD9jCYfFNV2cWRpVuPLBcCU2z8TrisoyY1)))", "wsh(wsh(pk(03a34b99f22c790c4e36b2b3c2c35a36db06226e41c692fc82b8b56ac1c540c5bd)))", "Can only have wsh() at top level or inside sh()"); // Cannot embed P2WSH inside P2WSH
// Checksums
Check("sh(multi(2,[00000000/111'/222]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0))#ggrsrxfy", "sh(multi(2,[00000000/111'/222]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0))#tjg09x5t", "sh(multi(2,[00000000/111'/222]xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc,xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L/0))#ggrsrxfy", "sh(multi(2,[00000000/111'/222]xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL,xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y/0))#tjg09x5t", DEFAULT, {{"a91445a9a622a8b0a1269944be477640eedc447bbd8487"}}, OutputType::LEGACY, {{0x8000006FUL,222},{0}});
@@ -375,6 +416,27 @@ BOOST_AUTO_TEST_CASE(descriptor_test)
CheckUnparsable("", "addr(asdf)", "Address is not valid"); // Invalid address
CheckUnparsable("", "raw(asdf)", "Raw script is not hex"); // Invalid script
CheckUnparsable("", "raw(Ü)#00000000", "Invalid characters in payload"); // Invalid chars
+
+ // A 2of4 but using a direct push rather than OP_2
+ CScript nonminimalmultisig;
+ CKey keys[4];
+ nonminimalmultisig << std::vector<unsigned char>{2};
+ for (int i = 0; i < 4; i++) {
+ keys[i].MakeNewKey(true);
+ nonminimalmultisig << ToByteVector(keys[i].GetPubKey());
+ }
+ nonminimalmultisig << 4 << OP_CHECKMULTISIG;
+ CheckInferRaw(nonminimalmultisig);
+
+ // A 2of4 but using a direct push rather than OP_4
+ nonminimalmultisig.clear();
+ nonminimalmultisig << 2;
+ for (int i = 0; i < 4; i++) {
+ keys[i].MakeNewKey(true);
+ nonminimalmultisig << ToByteVector(keys[i].GetPubKey());
+ }
+ nonminimalmultisig << std::vector<unsigned char>{4} << OP_CHECKMULTISIG;
+ CheckInferRaw(nonminimalmultisig);
}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/flatfile_tests.cpp b/src/test/flatfile_tests.cpp
index 0c5c19113d..d54d6b6471 100644
--- a/src/test/flatfile_tests.cpp
+++ b/src/test/flatfile_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,7 +14,7 @@ BOOST_FIXTURE_TEST_SUITE(flatfile_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(flatfile_filename)
{
- const auto data_dir = GetDataDir();
+ const auto data_dir = m_args.GetDataDirBase();
FlatFilePos pos(456, 789);
@@ -27,7 +27,7 @@ BOOST_AUTO_TEST_CASE(flatfile_filename)
BOOST_AUTO_TEST_CASE(flatfile_open)
{
- const auto data_dir = GetDataDir();
+ const auto data_dir = m_args.GetDataDirBase();
FlatFileSeq seq(data_dir, "a", 16 * 1024);
std::string line1("A purely peer-to-peer version of electronic cash would allow online "
@@ -88,7 +88,7 @@ BOOST_AUTO_TEST_CASE(flatfile_open)
BOOST_AUTO_TEST_CASE(flatfile_allocate)
{
- const auto data_dir = GetDataDir();
+ const auto data_dir = m_args.GetDataDirBase();
FlatFileSeq seq(data_dir, "a", 100);
bool out_of_space;
@@ -108,7 +108,7 @@ BOOST_AUTO_TEST_CASE(flatfile_allocate)
BOOST_AUTO_TEST_CASE(flatfile_flush)
{
- const auto data_dir = GetDataDir();
+ const auto data_dir = m_args.GetDataDirBase();
FlatFileSeq seq(data_dir, "a", 100);
bool out_of_space;
diff --git a/src/test/fs_tests.cpp b/src/test/fs_tests.cpp
index e52cd5230c..313064b294 100644
--- a/src/test/fs_tests.cpp
+++ b/src/test/fs_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
//
@@ -9,46 +9,77 @@
#include <boost/test/unit_test.hpp>
+#include <fstream>
+#include <ios>
+#include <string>
+
BOOST_FIXTURE_TEST_SUITE(fs_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_CASE(fsbridge_pathtostring)
+{
+ std::string u8_str = "fs_tests_₿_🏃";
+ BOOST_CHECK_EQUAL(fs::PathToString(fs::PathFromString(u8_str)), u8_str);
+ BOOST_CHECK_EQUAL(fs::u8path(u8_str).u8string(), u8_str);
+ BOOST_CHECK_EQUAL(fs::PathFromString(u8_str).u8string(), u8_str);
+ BOOST_CHECK_EQUAL(fs::PathToString(fs::u8path(u8_str)), u8_str);
+#ifndef WIN32
+ // On non-windows systems, verify that arbitrary byte strings containing
+ // invalid UTF-8 can be round tripped successfully with PathToString and
+ // PathFromString. On non-windows systems, paths are just byte strings so
+ // these functions do not do any encoding. On windows, paths are Unicode,
+ // and these functions do encoding and decoding, so the behavior of this
+ // test would be undefined.
+ std::string invalid_u8_str = "\xf0";
+ BOOST_CHECK_EQUAL(invalid_u8_str.size(), 1);
+ BOOST_CHECK_EQUAL(fs::PathToString(fs::PathFromString(invalid_u8_str)), invalid_u8_str);
+#endif
+}
+
+BOOST_AUTO_TEST_CASE(fsbridge_stem)
+{
+ std::string test_filename = "fs_tests_₿_🏃.dat";
+ std::string expected_stem = "fs_tests_₿_🏃";
+ BOOST_CHECK_EQUAL(fs::PathToString(fs::PathFromString(test_filename).stem()), expected_stem);
+}
+
BOOST_AUTO_TEST_CASE(fsbridge_fstream)
{
- fs::path tmpfolder = GetDataDir();
+ fs::path tmpfolder = m_args.GetDataDirBase();
// tmpfile1 should be the same as tmpfile2
fs::path tmpfile1 = tmpfolder / "fs_tests_₿_🏃";
fs::path tmpfile2 = tmpfolder / "fs_tests_₿_🏃";
{
- fsbridge::ofstream file(tmpfile1);
+ std::ofstream file{tmpfile1};
file << "bitcoin";
}
{
- fsbridge::ifstream file(tmpfile2);
+ std::ifstream file{tmpfile2};
std::string input_buffer;
file >> input_buffer;
BOOST_CHECK_EQUAL(input_buffer, "bitcoin");
}
{
- fsbridge::ifstream file(tmpfile1, std::ios_base::in | std::ios_base::ate);
+ std::ifstream file{tmpfile1, std::ios_base::in | std::ios_base::ate};
std::string input_buffer;
file >> input_buffer;
BOOST_CHECK_EQUAL(input_buffer, "");
}
{
- fsbridge::ofstream file(tmpfile2, std::ios_base::out | std::ios_base::app);
+ std::ofstream file{tmpfile2, std::ios_base::out | std::ios_base::app};
file << "tests";
}
{
- fsbridge::ifstream file(tmpfile1);
+ std::ifstream file{tmpfile1};
std::string input_buffer;
file >> input_buffer;
BOOST_CHECK_EQUAL(input_buffer, "bitcointests");
}
{
- fsbridge::ofstream file(tmpfile2, std::ios_base::out | std::ios_base::trunc);
+ std::ofstream file{tmpfile2, std::ios_base::out | std::ios_base::trunc};
file << "bitcoin";
}
{
- fsbridge::ifstream file(tmpfile1);
+ std::ifstream file{tmpfile1};
std::string input_buffer;
file >> input_buffer;
BOOST_CHECK_EQUAL(input_buffer, "bitcoin");
@@ -87,4 +118,62 @@ BOOST_AUTO_TEST_CASE(fsbridge_fstream)
}
}
-BOOST_AUTO_TEST_SUITE_END() \ No newline at end of file
+BOOST_AUTO_TEST_CASE(rename)
+{
+ const fs::path tmpfolder{m_args.GetDataDirBase()};
+
+ const fs::path path1{GetUniquePath(tmpfolder)};
+ const fs::path path2{GetUniquePath(tmpfolder)};
+
+ const std::string path1_contents{"1111"};
+ const std::string path2_contents{"2222"};
+
+ {
+ std::ofstream file{path1};
+ file << path1_contents;
+ }
+
+ {
+ std::ofstream file{path2};
+ file << path2_contents;
+ }
+
+ // Rename path1 -> path2.
+ BOOST_CHECK(RenameOver(path1, path2));
+
+ BOOST_CHECK(!fs::exists(path1));
+
+ {
+ std::ifstream file{path2};
+ std::string contents;
+ file >> contents;
+ BOOST_CHECK_EQUAL(contents, path1_contents);
+ }
+ fs::remove(path2);
+}
+
+#ifndef WIN32
+BOOST_AUTO_TEST_CASE(create_directories)
+{
+ // Test fs::create_directories workaround.
+ const fs::path tmpfolder{m_args.GetDataDirBase()};
+
+ const fs::path dir{GetUniquePath(tmpfolder)};
+ fs::create_directory(dir);
+ BOOST_CHECK(fs::exists(dir));
+ BOOST_CHECK(fs::is_directory(dir));
+ BOOST_CHECK(!fs::create_directories(dir));
+
+ const fs::path symlink{GetUniquePath(tmpfolder)};
+ fs::create_directory_symlink(dir, symlink);
+ BOOST_CHECK(fs::exists(symlink));
+ BOOST_CHECK(fs::is_symlink(symlink));
+ BOOST_CHECK(fs::is_directory(symlink));
+ BOOST_CHECK(!fs::create_directories(symlink));
+
+ fs::remove(symlink);
+ fs::remove(dir);
+}
+#endif // WIN32
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/fuzz/FuzzedDataProvider.h b/src/test/fuzz/FuzzedDataProvider.h
index 744a9d78ce..6cbfc39bc2 100644
--- a/src/test/fuzz/FuzzedDataProvider.h
+++ b/src/test/fuzz/FuzzedDataProvider.h
@@ -20,6 +20,7 @@
#include <cstdint>
#include <cstring>
#include <initializer_list>
+#include <limits>
#include <string>
#include <type_traits>
#include <utility>
diff --git a/src/test/fuzz/addition_overflow.cpp b/src/test/fuzz/addition_overflow.cpp
index c6cfbd8d30..cfad41659e 100644
--- a/src/test/fuzz/addition_overflow.cpp
+++ b/src/test/fuzz/addition_overflow.cpp
@@ -5,6 +5,7 @@
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
+#include <util/overflow.h>
#include <cstdint>
#include <string>
diff --git a/src/test/fuzz/addrdb.cpp b/src/test/fuzz/addrdb.cpp
deleted file mode 100644
index d15c785673..0000000000
--- a/src/test/fuzz/addrdb.cpp
+++ /dev/null
@@ -1,37 +0,0 @@
-// Copyright (c) 2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#include <addrdb.h>
-#include <test/fuzz/FuzzedDataProvider.h>
-#include <test/fuzz/fuzz.h>
-#include <test/fuzz/util.h>
-
-#include <cassert>
-#include <cstdint>
-#include <optional>
-#include <string>
-#include <vector>
-
-FUZZ_TARGET(addrdb)
-{
- FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
-
- // The point of this code is to exercise all CBanEntry constructors.
- const CBanEntry ban_entry = [&] {
- switch (fuzzed_data_provider.ConsumeIntegralInRange<int>(0, 2)) {
- case 0:
- return CBanEntry{fuzzed_data_provider.ConsumeIntegral<int64_t>()};
- break;
- case 1: {
- const std::optional<CBanEntry> ban_entry = ConsumeDeserializable<CBanEntry>(fuzzed_data_provider);
- if (ban_entry) {
- return *ban_entry;
- }
- break;
- }
- }
- return CBanEntry{};
- }();
- (void)ban_entry; // currently unused
-}
diff --git a/src/test/fuzz/addrman.cpp b/src/test/fuzz/addrman.cpp
index b55f1c72b1..3699abb597 100644
--- a/src/test/fuzz/addrman.cpp
+++ b/src/test/fuzz/addrman.cpp
@@ -4,74 +4,262 @@
#include <addrdb.h>
#include <addrman.h>
+#include <addrman_impl.h>
#include <chainparams.h>
#include <merkleblock.h>
+#include <random.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
+#include <test/util/setup_common.h>
#include <time.h>
#include <util/asmap.h>
+#include <util/system.h>
+#include <cassert>
#include <cstdint>
#include <optional>
#include <string>
#include <vector>
+namespace {
+const BasicTestingSetup* g_setup;
+
+int32_t GetCheckRatio()
+{
+ return std::clamp<int32_t>(g_setup->m_node.args->GetIntArg("-checkaddrman", 0), 0, 1000000);
+}
+} // namespace
+
void initialize_addrman()
{
- SelectParams(CBaseChainParams::REGTEST);
+ static const auto testing_setup = MakeNoLogFileContext<>(CBaseChainParams::REGTEST);
+ g_setup = testing_setup.get();
+}
+
+FUZZ_TARGET_INIT(data_stream_addr_man, initialize_addrman)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+ CDataStream data_stream = ConsumeDataStream(fuzzed_data_provider);
+ AddrMan addr_man{/*asmap=*/std::vector<bool>(), /*deterministic=*/false, GetCheckRatio()};
+ try {
+ ReadFromStream(addr_man, data_stream);
+ } catch (const std::exception&) {
+ }
+}
+
+/**
+ * Generate a random address. Always returns a valid address.
+ */
+CNetAddr RandAddr(FuzzedDataProvider& fuzzed_data_provider, FastRandomContext& fast_random_context)
+{
+ CNetAddr addr;
+ if (fuzzed_data_provider.remaining_bytes() > 1 && fuzzed_data_provider.ConsumeBool()) {
+ addr = ConsumeNetAddr(fuzzed_data_provider);
+ } else {
+ // The networks [1..6] correspond to CNetAddr::BIP155Network (private).
+ static const std::map<uint8_t, uint8_t> net_len_map = {{1, ADDR_IPV4_SIZE},
+ {2, ADDR_IPV6_SIZE},
+ {4, ADDR_TORV3_SIZE},
+ {5, ADDR_I2P_SIZE},
+ {6, ADDR_CJDNS_SIZE}};
+ uint8_t net = fast_random_context.randrange(5) + 1; // [1..5]
+ if (net == 3) {
+ net = 6;
+ }
+
+ CDataStream s(SER_NETWORK, PROTOCOL_VERSION | ADDRV2_FORMAT);
+
+ s << net;
+ s << fast_random_context.randbytes(net_len_map.at(net));
+
+ s >> addr;
+ }
+
+ // Return a dummy IPv4 5.5.5.5 if we generated an invalid address.
+ if (!addr.IsValid()) {
+ in_addr v4_addr = {};
+ v4_addr.s_addr = 0x05050505;
+ addr = CNetAddr{v4_addr};
+ }
+
+ return addr;
+}
+
+/** Fill addrman with lots of addresses from lots of sources. */
+void FillAddrman(AddrMan& addrman, FuzzedDataProvider& fuzzed_data_provider)
+{
+ // Add a fraction of the addresses to the "tried" table.
+ // 0, 1, 2, 3 corresponding to 0%, 100%, 50%, 33%
+ const size_t n = fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 3);
+
+ const size_t num_sources = fuzzed_data_provider.ConsumeIntegralInRange<size_t>(1, 50);
+ CNetAddr prev_source;
+ // Generate a FastRandomContext seed to use inside the loops instead of
+ // fuzzed_data_provider. When fuzzed_data_provider is exhausted it
+ // just returns 0.
+ FastRandomContext fast_random_context{ConsumeUInt256(fuzzed_data_provider)};
+ for (size_t i = 0; i < num_sources; ++i) {
+ const auto source = RandAddr(fuzzed_data_provider, fast_random_context);
+ const size_t num_addresses = fast_random_context.randrange(500) + 1; // [1..500]
+
+ for (size_t j = 0; j < num_addresses; ++j) {
+ const auto addr = CAddress{CService{RandAddr(fuzzed_data_provider, fast_random_context), 8333}, NODE_NETWORK};
+ const auto time_penalty = fast_random_context.randrange(100000001);
+ addrman.Add({addr}, source, time_penalty);
+
+ if (n > 0 && addrman.size() % n == 0) {
+ addrman.Good(addr, GetTime());
+ }
+
+ // Add 10% of the addresses from more than one source.
+ if (fast_random_context.randrange(10) == 0 && prev_source.IsValid()) {
+ addrman.Add({addr}, prev_source, time_penalty);
+ }
+ }
+ prev_source = source;
+ }
}
-class CAddrManDeterministic : public CAddrMan
+class AddrManDeterministic : public AddrMan
{
public:
- void MakeDeterministic(const uint256& random_seed)
+ explicit AddrManDeterministic(std::vector<bool> asmap, FuzzedDataProvider& fuzzed_data_provider)
+ : AddrMan{std::move(asmap), /*deterministic=*/true, GetCheckRatio()}
{
- insecure_rand = FastRandomContext{random_seed};
- Clear();
+ WITH_LOCK(m_impl->cs, m_impl->insecure_rand = FastRandomContext{ConsumeUInt256(fuzzed_data_provider)});
+ }
+
+ /**
+ * Compare with another AddrMan.
+ * This compares:
+ * - the values in `mapInfo` (the keys aka ids are ignored)
+ * - vvNew entries refer to the same addresses
+ * - vvTried entries refer to the same addresses
+ */
+ bool operator==(const AddrManDeterministic& other)
+ {
+ LOCK2(m_impl->cs, other.m_impl->cs);
+
+ if (m_impl->mapInfo.size() != other.m_impl->mapInfo.size() || m_impl->nNew != other.m_impl->nNew ||
+ m_impl->nTried != other.m_impl->nTried) {
+ return false;
+ }
+
+ // Check that all values in `mapInfo` are equal to all values in `other.mapInfo`.
+ // Keys may be different.
+
+ auto addrinfo_hasher = [](const AddrInfo& a) {
+ CSipHasher hasher(0, 0);
+ auto addr_key = a.GetKey();
+ auto source_key = a.source.GetAddrBytes();
+ hasher.Write(a.nLastSuccess);
+ hasher.Write(a.nAttempts);
+ hasher.Write(a.nRefCount);
+ hasher.Write(a.fInTried);
+ hasher.Write(a.GetNetwork());
+ hasher.Write(a.source.GetNetwork());
+ hasher.Write(addr_key.size());
+ hasher.Write(source_key.size());
+ hasher.Write(addr_key.data(), addr_key.size());
+ hasher.Write(source_key.data(), source_key.size());
+ return (size_t)hasher.Finalize();
+ };
+
+ auto addrinfo_eq = [](const AddrInfo& lhs, const AddrInfo& rhs) {
+ return std::tie(static_cast<const CService&>(lhs), lhs.source, lhs.nLastSuccess, lhs.nAttempts, lhs.nRefCount, lhs.fInTried) ==
+ std::tie(static_cast<const CService&>(rhs), rhs.source, rhs.nLastSuccess, rhs.nAttempts, rhs.nRefCount, rhs.fInTried);
+ };
+
+ using Addresses = std::unordered_set<AddrInfo, decltype(addrinfo_hasher), decltype(addrinfo_eq)>;
+
+ const size_t num_addresses{m_impl->mapInfo.size()};
+
+ Addresses addresses{num_addresses, addrinfo_hasher, addrinfo_eq};
+ for (const auto& [id, addr] : m_impl->mapInfo) {
+ addresses.insert(addr);
+ }
+
+ Addresses other_addresses{num_addresses, addrinfo_hasher, addrinfo_eq};
+ for (const auto& [id, addr] : other.m_impl->mapInfo) {
+ other_addresses.insert(addr);
+ }
+
+ if (addresses != other_addresses) {
+ return false;
+ }
+
+ auto IdsReferToSameAddress = [&](int id, int other_id) EXCLUSIVE_LOCKS_REQUIRED(m_impl->cs, other.m_impl->cs) {
+ if (id == -1 && other_id == -1) {
+ return true;
+ }
+ if ((id == -1 && other_id != -1) || (id != -1 && other_id == -1)) {
+ return false;
+ }
+ return m_impl->mapInfo.at(id) == other.m_impl->mapInfo.at(other_id);
+ };
+
+ // Check that `vvNew` contains the same addresses as `other.vvNew`. Notice - `vvNew[i][j]`
+ // contains just an id and the address is to be found in `mapInfo.at(id)`. The ids
+ // themselves may differ between `vvNew` and `other.vvNew`.
+ for (size_t i = 0; i < ADDRMAN_NEW_BUCKET_COUNT; ++i) {
+ for (size_t j = 0; j < ADDRMAN_BUCKET_SIZE; ++j) {
+ if (!IdsReferToSameAddress(m_impl->vvNew[i][j], other.m_impl->vvNew[i][j])) {
+ return false;
+ }
+ }
+ }
+
+ // Same for `vvTried`.
+ for (size_t i = 0; i < ADDRMAN_TRIED_BUCKET_COUNT; ++i) {
+ for (size_t j = 0; j < ADDRMAN_BUCKET_SIZE; ++j) {
+ if (!IdsReferToSameAddress(m_impl->vvTried[i][j], other.m_impl->vvTried[i][j])) {
+ return false;
+ }
+ }
+ }
+
+ return true;
}
};
+[[nodiscard]] inline std::vector<bool> ConsumeAsmap(FuzzedDataProvider& fuzzed_data_provider) noexcept
+{
+ std::vector<bool> asmap = ConsumeRandomLengthBitVector(fuzzed_data_provider);
+ if (!SanityCheckASMap(asmap, 128)) asmap.clear();
+ return asmap;
+}
+
FUZZ_TARGET_INIT(addrman, initialize_addrman)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
SetMockTime(ConsumeTime(fuzzed_data_provider));
- CAddrManDeterministic addr_man;
- addr_man.MakeDeterministic(ConsumeUInt256(fuzzed_data_provider));
+ std::vector<bool> asmap = ConsumeAsmap(fuzzed_data_provider);
+ auto addr_man_ptr = std::make_unique<AddrManDeterministic>(asmap, fuzzed_data_provider);
if (fuzzed_data_provider.ConsumeBool()) {
- addr_man.m_asmap = ConsumeRandomLengthBitVector(fuzzed_data_provider);
- if (!SanityCheckASMap(addr_man.m_asmap)) {
- addr_man.m_asmap.clear();
+ const std::vector<uint8_t> serialized_data{ConsumeRandomLengthByteVector(fuzzed_data_provider)};
+ CDataStream ds(serialized_data, SER_DISK, INIT_PROTO_VERSION);
+ const auto ser_version{fuzzed_data_provider.ConsumeIntegral<int32_t>()};
+ ds.SetVersion(ser_version);
+ try {
+ ds >> *addr_man_ptr;
+ } catch (const std::ios_base::failure&) {
+ addr_man_ptr = std::make_unique<AddrManDeterministic>(asmap, fuzzed_data_provider);
}
}
- while (fuzzed_data_provider.ConsumeBool()) {
+ AddrManDeterministic& addr_man = *addr_man_ptr;
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
- addr_man.Clear();
- },
- [&] {
addr_man.ResolveCollisions();
},
[&] {
(void)addr_man.SelectTriedCollision();
},
[&] {
- (void)addr_man.Select(fuzzed_data_provider.ConsumeBool());
- },
- [&] {
- (void)addr_man.GetAddr(fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096));
- },
- [&] {
- const std::optional<CAddress> opt_address = ConsumeDeserializable<CAddress>(fuzzed_data_provider);
- const std::optional<CNetAddr> opt_net_addr = ConsumeDeserializable<CNetAddr>(fuzzed_data_provider);
- if (opt_address && opt_net_addr) {
- addr_man.Add(*opt_address, *opt_net_addr, fuzzed_data_provider.ConsumeIntegralInRange<int64_t>(0, 100000000));
- }
- },
- [&] {
std::vector<CAddress> addresses;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::optional<CAddress> opt_address = ConsumeDeserializable<CAddress>(fuzzed_data_provider);
if (!opt_address) {
break;
@@ -86,7 +274,7 @@ FUZZ_TARGET_INIT(addrman, initialize_addrman)
[&] {
const std::optional<CService> opt_service = ConsumeDeserializable<CService>(fuzzed_data_provider);
if (opt_service) {
- addr_man.Good(*opt_service, fuzzed_data_provider.ConsumeBool(), ConsumeTime(fuzzed_data_provider));
+ addr_man.Good(*opt_service, ConsumeTime(fuzzed_data_provider));
}
},
[&] {
@@ -104,14 +292,35 @@ FUZZ_TARGET_INIT(addrman, initialize_addrman)
[&] {
const std::optional<CService> opt_service = ConsumeDeserializable<CService>(fuzzed_data_provider);
if (opt_service) {
- addr_man.SetServices(*opt_service, ServiceFlags{fuzzed_data_provider.ConsumeIntegral<uint64_t>()});
+ addr_man.SetServices(*opt_service, ConsumeWeakEnum(fuzzed_data_provider, ALL_SERVICE_FLAGS));
}
- },
- [&] {
- (void)addr_man.Check();
});
}
- (void)addr_man.size();
+ const AddrMan& const_addr_man{addr_man};
+ (void)const_addr_man.GetAddr(
+ /*max_addresses=*/fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096),
+ /*max_pct=*/fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096),
+ /*network=*/std::nullopt);
+ (void)const_addr_man.Select(fuzzed_data_provider.ConsumeBool());
+ (void)const_addr_man.size();
CDataStream data_stream(SER_NETWORK, PROTOCOL_VERSION);
- data_stream << addr_man;
+ data_stream << const_addr_man;
+}
+
+// Check that serialize followed by unserialize produces the same addrman.
+FUZZ_TARGET_INIT(addrman_serdeser, initialize_addrman)
+{
+ FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
+ SetMockTime(ConsumeTime(fuzzed_data_provider));
+
+ std::vector<bool> asmap = ConsumeAsmap(fuzzed_data_provider);
+ AddrManDeterministic addr_man1{asmap, fuzzed_data_provider};
+ AddrManDeterministic addr_man2{asmap, fuzzed_data_provider};
+
+ CDataStream data_stream(SER_NETWORK, PROTOCOL_VERSION);
+
+ FillAddrman(addr_man1, fuzzed_data_provider);
+ data_stream << addr_man1;
+ data_stream >> addr_man2;
+ assert(addr_man1 == addr_man2);
}
diff --git a/src/test/fuzz/asmap.cpp b/src/test/fuzz/asmap.cpp
index 4c5bc0cbf2..95be963dc8 100644
--- a/src/test/fuzz/asmap.cpp
+++ b/src/test/fuzz/asmap.cpp
@@ -1,9 +1,10 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <netaddress.h>
#include <test/fuzz/fuzz.h>
+#include <util/asmap.h>
#include <cstdint>
#include <vector>
@@ -42,13 +43,13 @@ FUZZ_TARGET(asmap)
asmap.push_back((buffer[1 + i] >> j) & 1);
}
}
- if (!SanityCheckASMap(asmap)) return;
+ if (!SanityCheckASMap(asmap, 128)) return;
const uint8_t* addr_data = buffer.data() + 1 + asmap_size;
CNetAddr net_addr;
if (ipv6) {
assert(addr_size == ADDR_IPV6_SIZE);
- net_addr.SetLegacyIPv6(Span<const uint8_t>(addr_data, addr_size));
+ net_addr.SetLegacyIPv6({addr_data, addr_size});
} else {
assert(addr_size == ADDR_IPV4_SIZE);
in_addr ipv4;
diff --git a/src/test/fuzz/asmap_direct.cpp b/src/test/fuzz/asmap_direct.cpp
index 8b7822dc16..8a355fd3f6 100644
--- a/src/test/fuzz/asmap_direct.cpp
+++ b/src/test/fuzz/asmap_direct.cpp
@@ -1,9 +1,10 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <test/fuzz/fuzz.h>
+#include <netaddress.h>
#include <util/asmap.h>
+#include <test/fuzz/fuzz.h>
#include <cstdint>
#include <optional>
diff --git a/src/test/fuzz/autofile.cpp b/src/test/fuzz/autofile.cpp
index dbc0b5ab81..3b410930ed 100644
--- a/src/test/fuzz/autofile.cpp
+++ b/src/test/fuzz/autofile.cpp
@@ -2,7 +2,6 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <optional.h>
#include <streams.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
@@ -20,20 +19,20 @@ FUZZ_TARGET(autofile)
FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
FuzzedAutoFileProvider fuzzed_auto_file_provider = ConsumeAutoFile(fuzzed_data_provider);
CAutoFile auto_file = fuzzed_auto_file_provider.open();
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
- std::array<uint8_t, 4096> arr{};
+ std::array<std::byte, 4096> arr{};
try {
- auto_file.read((char*)arr.data(), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096));
+ auto_file.read({arr.data(), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096)});
} catch (const std::ios_base::failure&) {
}
},
[&] {
- const std::array<uint8_t, 4096> arr{};
+ const std::array<std::byte, 4096> arr{};
try {
- auto_file.write((const char*)arr.data(), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096));
+ auto_file.write({arr.data(), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096)});
} catch (const std::ios_base::failure&) {
}
},
diff --git a/src/test/fuzz/banman.cpp b/src/test/fuzz/banman.cpp
index 8bf484722c..b2969ecdc0 100644
--- a/src/test/fuzz/banman.cpp
+++ b/src/test/fuzz/banman.cpp
@@ -9,8 +9,10 @@
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
#include <test/util/setup_common.h>
+#include <util/readwritefile.h>
#include <util/system.h>
+#include <cassert>
#include <cstdint>
#include <limits>
#include <string>
@@ -30,15 +32,38 @@ void initialize_banman()
static const auto testing_setup = MakeNoLogFileContext<>();
}
+static bool operator==(const CBanEntry& lhs, const CBanEntry& rhs)
+{
+ return lhs.nVersion == rhs.nVersion &&
+ lhs.nCreateTime == rhs.nCreateTime &&
+ lhs.nBanUntil == rhs.nBanUntil;
+}
+
FUZZ_TARGET_INIT(banman, initialize_banman)
{
FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
SetMockTime(ConsumeTime(fuzzed_data_provider));
- const fs::path banlist_file = GetDataDir() / "fuzzed_banlist.dat";
- fs::remove(banlist_file);
+ fs::path banlist_file = gArgs.GetDataDirNet() / "fuzzed_banlist";
+
+ const bool start_with_corrupted_banlist{fuzzed_data_provider.ConsumeBool()};
+ bool force_read_and_write_to_err{false};
+ if (start_with_corrupted_banlist) {
+ assert(WriteBinaryFile(banlist_file + ".json",
+ fuzzed_data_provider.ConsumeRandomLengthString()));
+ } else {
+ force_read_and_write_to_err = fuzzed_data_provider.ConsumeBool();
+ if (force_read_and_write_to_err) {
+ banlist_file = fs::path{"path"} / "to" / "inaccessible" / "fuzzed_banlist";
+ }
+ }
+
{
- BanMan ban_man{banlist_file, nullptr, ConsumeBanTimeOffset(fuzzed_data_provider)};
- while (fuzzed_data_provider.ConsumeBool()) {
+ BanMan ban_man{banlist_file, /*client_interface=*/nullptr, /*default_ban_time=*/ConsumeBanTimeOffset(fuzzed_data_provider)};
+ // The complexity is O(N^2), where N is the input size, because each call
+ // might call DumpBanlist (or other methods that are at least linear
+ // complexity of the input size).
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 300)
+ {
CallOneOf(
fuzzed_data_provider,
[&] {
@@ -52,7 +77,6 @@ FUZZ_TARGET_INIT(banman, initialize_banman)
[&] {
ban_man.ClearBanned();
},
- [] {},
[&] {
ban_man.IsBanned(ConsumeNetAddr(fuzzed_data_provider));
},
@@ -72,11 +96,20 @@ FUZZ_TARGET_INIT(banman, initialize_banman)
[&] {
ban_man.DumpBanlist();
},
- [] {},
[&] {
ban_man.Discourage(ConsumeNetAddr(fuzzed_data_provider));
});
}
+ if (!force_read_and_write_to_err) {
+ ban_man.DumpBanlist();
+ SetMockTime(ConsumeTime(fuzzed_data_provider));
+ banmap_t banmap;
+ ban_man.GetBanned(banmap);
+ BanMan ban_man_read{banlist_file, /*client_interface=*/nullptr, /*default_ban_time=*/0};
+ banmap_t banmap_read;
+ ban_man_read.GetBanned(banmap_read);
+ assert(banmap == banmap_read);
+ }
}
- fs::remove(banlist_file);
+ fs::remove(fs::PathToString(banlist_file + ".json"));
}
diff --git a/src/test/fuzz/base_encode_decode.cpp b/src/test/fuzz/base_encode_decode.cpp
index 4470e13a61..196410e29c 100644
--- a/src/test/fuzz/base_encode_decode.cpp
+++ b/src/test/fuzz/base_encode_decode.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,7 +14,12 @@
#include <string>
#include <vector>
-FUZZ_TARGET(base_encode_decode)
+void initialize_base_encode_decode()
+{
+ static const ECCVerifyHandle verify_handle;
+}
+
+FUZZ_TARGET_INIT(base_encode_decode, initialize_base_encode_decode)
{
const std::string random_encoded_string(buffer.begin(), buffer.end());
diff --git a/src/test/fuzz/bech32.cpp b/src/test/fuzz/bech32.cpp
index 95cd4b413f..ffc5ba518f 100644
--- a/src/test/fuzz/bech32.cpp
+++ b/src/test/fuzz/bech32.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -16,28 +16,28 @@
FUZZ_TARGET(bech32)
{
const std::string random_string(buffer.begin(), buffer.end());
- const std::pair<std::string, std::vector<uint8_t>> r1 = bech32::Decode(random_string);
- if (r1.first.empty()) {
- assert(r1.second.empty());
+ const auto r1 = bech32::Decode(random_string);
+ if (r1.hrp.empty()) {
+ assert(r1.encoding == bech32::Encoding::INVALID);
+ assert(r1.data.empty());
} else {
- const std::string& hrp = r1.first;
- const std::vector<uint8_t>& data = r1.second;
- const std::string reencoded = bech32::Encode(hrp, data);
+ assert(r1.encoding != bech32::Encoding::INVALID);
+ const std::string reencoded = bech32::Encode(r1.encoding, r1.hrp, r1.data);
assert(CaseInsensitiveEqual(random_string, reencoded));
}
std::vector<unsigned char> input;
ConvertBits<8, 5, true>([&](unsigned char c) { input.push_back(c); }, buffer.begin(), buffer.end());
- const std::string encoded = bech32::Encode("bc", input);
- assert(!encoded.empty());
- const std::pair<std::string, std::vector<uint8_t>> r2 = bech32::Decode(encoded);
- if (r2.first.empty()) {
- assert(r2.second.empty());
- } else {
- const std::string& hrp = r2.first;
- const std::vector<uint8_t>& data = r2.second;
- assert(hrp == "bc");
- assert(data == input);
+ if (input.size() + 3 + 6 <= 90) {
+ // If it's possible to encode input in Bech32(m) without exceeding the 90-character limit:
+ for (auto encoding : {bech32::Encoding::BECH32, bech32::Encoding::BECH32M}) {
+ const std::string encoded = bech32::Encode(encoding, "bc", input);
+ assert(!encoded.empty());
+ const auto r2 = bech32::Decode(encoded);
+ assert(r2.encoding == encoding);
+ assert(r2.hrp == "bc");
+ assert(r2.data == input);
+ }
}
}
diff --git a/src/test/fuzz/block.cpp b/src/test/fuzz/block.cpp
index 65a33de4b4..b7ed2c6abd 100644
--- a/src/test/fuzz/block.cpp
+++ b/src/test/fuzz/block.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -58,8 +58,6 @@ FUZZ_TARGET_INIT(block, initialize_block)
(void)block.ToString();
(void)BlockMerkleRoot(block);
if (!block.vtx.empty()) {
- // TODO: Avoid array index out of bounds error in BlockWitnessMerkleRoot
- // when block.vtx.empty().
(void)BlockWitnessMerkleRoot(block);
}
(void)GetBlockWeight(block);
diff --git a/src/test/fuzz/blockfilter.cpp b/src/test/fuzz/blockfilter.cpp
index 7fa06085f8..3adc114515 100644
--- a/src/test/fuzz/blockfilter.cpp
+++ b/src/test/fuzz/blockfilter.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -36,9 +36,10 @@ FUZZ_TARGET(blockfilter)
(void)gcs_filter.GetEncoded();
(void)gcs_filter.Match(ConsumeRandomLengthByteVector(fuzzed_data_provider));
GCSFilter::ElementSet element_set;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 30000)
+ {
element_set.insert(ConsumeRandomLengthByteVector(fuzzed_data_provider));
- gcs_filter.MatchAny(element_set);
}
+ gcs_filter.MatchAny(element_set);
}
}
diff --git a/src/test/fuzz/bloom_filter.cpp b/src/test/fuzz/bloom_filter.cpp
index c5bb8744a4..3e303ecc0f 100644
--- a/src/test/fuzz/bloom_filter.cpp
+++ b/src/test/fuzz/bloom_filter.cpp
@@ -2,7 +2,7 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <bloom.h>
+#include <common/bloom.h>
#include <primitives/transaction.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
@@ -24,7 +24,7 @@ FUZZ_TARGET(bloom_filter)
1.0 / fuzzed_data_provider.ConsumeIntegralInRange<unsigned int>(1, std::numeric_limits<unsigned int>::max()),
fuzzed_data_provider.ConsumeIntegral<unsigned int>(),
static_cast<unsigned char>(fuzzed_data_provider.PickValueInArray({BLOOM_UPDATE_NONE, BLOOM_UPDATE_ALL, BLOOM_UPDATE_P2PUBKEY_ONLY, BLOOM_UPDATE_MASK}))};
- while (fuzzed_data_provider.remaining_bytes() > 0) {
+ LIMITED_WHILE(fuzzed_data_provider.remaining_bytes() > 0, 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
diff --git a/src/test/fuzz/buffered_file.cpp b/src/test/fuzz/buffered_file.cpp
index ffe38f10fc..a8c3318629 100644
--- a/src/test/fuzz/buffered_file.cpp
+++ b/src/test/fuzz/buffered_file.cpp
@@ -2,7 +2,6 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <optional.h>
#include <streams.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
@@ -30,13 +29,13 @@ FUZZ_TARGET(buffered_file)
}
if (opt_buffered_file && fuzzed_file != nullptr) {
bool setpos_fail = false;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
- std::array<uint8_t, 4096> arr{};
+ std::array<std::byte, 4096> arr{};
try {
- opt_buffered_file->read((char*)arr.data(), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096));
+ opt_buffered_file->read({arr.data(), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096)});
} catch (const std::ios_base::failure&) {
}
},
@@ -54,7 +53,7 @@ FUZZ_TARGET(buffered_file)
return;
}
try {
- opt_buffered_file->FindByte(fuzzed_data_provider.ConsumeIntegral<char>());
+ opt_buffered_file->FindByte(fuzzed_data_provider.ConsumeIntegral<uint8_t>());
} catch (const std::ios_base::failure&) {
}
},
diff --git a/src/test/fuzz/chain.cpp b/src/test/fuzz/chain.cpp
index 9f7074b423..8c0ed32d51 100644
--- a/src/test/fuzz/chain.cpp
+++ b/src/test/fuzz/chain.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,21 +21,24 @@ FUZZ_TARGET(chain)
const uint256 zero{};
disk_block_index->phashBlock = &zero;
- (void)disk_block_index->GetBlockHash();
- (void)disk_block_index->GetBlockPos();
- (void)disk_block_index->GetBlockTime();
- (void)disk_block_index->GetBlockTimeMax();
- (void)disk_block_index->GetMedianTimePast();
- (void)disk_block_index->GetUndoPos();
- (void)disk_block_index->HaveTxsDownloaded();
- (void)disk_block_index->IsValid();
- (void)disk_block_index->ToString();
+ {
+ LOCK(::cs_main);
+ (void)disk_block_index->GetBlockHash();
+ (void)disk_block_index->GetBlockPos();
+ (void)disk_block_index->GetBlockTime();
+ (void)disk_block_index->GetBlockTimeMax();
+ (void)disk_block_index->GetMedianTimePast();
+ (void)disk_block_index->GetUndoPos();
+ (void)disk_block_index->HaveTxsDownloaded();
+ (void)disk_block_index->IsValid();
+ (void)disk_block_index->ToString();
+ }
const CBlockHeader block_header = disk_block_index->GetBlockHeader();
(void)CDiskBlockIndex{*disk_block_index};
(void)disk_block_index->BuildSkip();
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const BlockStatus block_status = fuzzed_data_provider.PickValueInArray({
BlockStatus::BLOCK_VALID_UNKNOWN,
BlockStatus::BLOCK_VALID_RESERVED,
@@ -55,7 +58,7 @@ FUZZ_TARGET(chain)
if (block_status & ~BLOCK_VALID_MASK) {
continue;
}
- (void)disk_block_index->RaiseValidity(block_status);
+ WITH_LOCK(::cs_main, (void)disk_block_index->RaiseValidity(block_status));
}
CBlockIndex block_index{block_header};
diff --git a/src/test/fuzz/coins_view.cpp b/src/test/fuzz/coins_view.cpp
index 328a31f1dc..360dc00307 100644
--- a/src/test/fuzz/coins_view.cpp
+++ b/src/test/fuzz/coins_view.cpp
@@ -2,10 +2,11 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
#include <chainparams.h>
#include <chainparamsbase.h>
#include <coins.h>
+#include <consensus/amount.h>
+#include <consensus/tx_check.h>
#include <consensus/tx_verify.h>
#include <consensus/validation.h>
#include <key.h>
@@ -25,7 +26,12 @@
#include <string>
#include <vector>
+using node::CCoinsStats;
+using node::CoinStatsHashType;
+using node::GetUTXOStats;
+
namespace {
+const TestingSetup* g_setup;
const Coin EMPTY_COIN{};
bool operator==(const Coin& a, const Coin& b)
@@ -38,6 +44,7 @@ bool operator==(const Coin& a, const Coin& b)
void initialize_coins_view()
{
static const auto testing_setup = MakeNoLogFileContext<const TestingSetup>();
+ g_setup = testing_setup.get();
}
FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
@@ -48,7 +55,7 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
COutPoint random_out_point;
Coin random_coin;
CMutableTransaction random_mutable_transaction;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
@@ -111,7 +118,7 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
},
[&] {
CCoinsMap coins_map;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CCoinsCacheEntry coins_cache_entry;
coins_cache_entry.flags = fuzzed_data_provider.ConsumeIntegral<unsigned char>();
if (fuzzed_data_provider.ConsumeBool()) {
@@ -180,8 +187,8 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
}
{
- const CCoinsViewCursor* coins_view_cursor = backend_coins_view.Cursor();
- assert(coins_view_cursor == nullptr);
+ std::unique_ptr<CCoinsViewCursor> coins_view_cursor = backend_coins_view.Cursor();
+ assert(!coins_view_cursor);
(void)backend_coins_view.EstimateSize();
(void)backend_coins_view.GetBestBlock();
(void)backend_coins_view.GetHeadBlocks();
@@ -204,7 +211,7 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
return;
}
bool expected_code_path = false;
- const int height = fuzzed_data_provider.ConsumeIntegral<int>();
+ const int height{int(fuzzed_data_provider.ConsumeIntegral<uint32_t>() >> 1)};
const bool possible_overwrite = fuzzed_data_provider.ConsumeBool();
try {
AddCoins(coins_view_cache, transaction, height, possible_overwrite);
@@ -218,8 +225,7 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
assert(expected_code_path);
},
[&] {
- (void)AreInputsStandard(CTransaction{random_mutable_transaction}, coins_view_cache, false);
- (void)AreInputsStandard(CTransaction{random_mutable_transaction}, coins_view_cache, true);
+ (void)AreInputsStandard(CTransaction{random_mutable_transaction}, coins_view_cache);
},
[&] {
TxValidationState state;
@@ -230,10 +236,13 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
// consensus/tx_verify.cpp:171: bool Consensus::CheckTxInputs(const CTransaction &, TxValidationState &, const CCoinsViewCache &, int, CAmount &): Assertion `!coin.IsSpent()' failed.
return;
}
- try {
- (void)Consensus::CheckTxInputs(transaction, state, coins_view_cache, fuzzed_data_provider.ConsumeIntegralInRange<int>(0, std::numeric_limits<int>::max()), tx_fee_out);
+ TxValidationState dummy;
+ if (!CheckTransaction(transaction, dummy)) {
+ // It is not allowed to call CheckTxInputs if CheckTransaction failed
+ return;
+ }
+ if (Consensus::CheckTxInputs(transaction, state, coins_view_cache, fuzzed_data_provider.ConsumeIntegralInRange<int>(0, std::numeric_limits<int>::max()), tx_fee_out)) {
assert(MoneyRange(tx_fee_out));
- } catch (const std::runtime_error&) {
}
},
[&] {
@@ -252,7 +261,7 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
// consensus/tx_verify.cpp:130: unsigned int GetP2SHSigOpCount(const CTransaction &, const CCoinsViewCache &): Assertion `!coin.IsSpent()' failed.
return;
}
- const int flags = fuzzed_data_provider.ConsumeIntegral<int>();
+ const auto flags{fuzzed_data_provider.ConsumeIntegral<uint32_t>()};
if (!transaction.vin.empty() && (flags & SCRIPT_VERIFY_WITNESS) != 0 && (flags & SCRIPT_VERIFY_P2SH) == 0) {
// Avoid:
// script/interpreter.cpp:1705: size_t CountWitnessSigOps(const CScript &, const CScript &, const CScriptWitness *, unsigned int): Assertion `(flags & SCRIPT_VERIFY_P2SH) != 0' failed.
@@ -261,10 +270,10 @@ FUZZ_TARGET_INIT(coins_view, initialize_coins_view)
(void)GetTransactionSigOpCost(transaction, coins_view_cache, flags);
},
[&] {
- CCoinsStats stats;
+ CCoinsStats stats{CoinStatsHashType::HASH_SERIALIZED};
bool expected_code_path = false;
try {
- (void)GetUTXOStats(&coins_view_cache, stats, CoinStatsHashType::HASH_SERIALIZED);
+ (void)GetUTXOStats(&coins_view_cache, g_setup->m_node.chainman->m_blockman, stats);
} catch (const std::logic_error&) {
expected_code_path = true;
}
diff --git a/src/test/fuzz/connman.cpp b/src/test/fuzz/connman.cpp
index 663d4fee8b..a14d28f4ef 100644
--- a/src/test/fuzz/connman.cpp
+++ b/src/test/fuzz/connman.cpp
@@ -2,6 +2,7 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <addrman.h>
#include <chainparams.h>
#include <chainparamsbase.h>
#include <net.h>
@@ -11,54 +12,47 @@
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
#include <test/util/setup_common.h>
+#include <util/system.h>
#include <util/translation.h>
#include <cstdint>
#include <vector>
+namespace {
+const BasicTestingSetup* g_setup;
+} // namespace
+
void initialize_connman()
{
static const auto testing_setup = MakeNoLogFileContext<>();
+ g_setup = testing_setup.get();
}
FUZZ_TARGET_INIT(connman, initialize_connman)
{
FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
SetMockTime(ConsumeTime(fuzzed_data_provider));
- CConnman connman{fuzzed_data_provider.ConsumeIntegral<uint64_t>(), fuzzed_data_provider.ConsumeIntegral<uint64_t>(), fuzzed_data_provider.ConsumeBool()};
- CAddress random_address;
+ AddrMan addrman(/*asmap=*/std::vector<bool>(),
+ /*deterministic=*/false,
+ g_setup->m_node.args->GetIntArg("-checkaddrman", 0));
+ CConnman connman{fuzzed_data_provider.ConsumeIntegral<uint64_t>(), fuzzed_data_provider.ConsumeIntegral<uint64_t>(), addrman, fuzzed_data_provider.ConsumeBool()};
CNetAddr random_netaddr;
CNode random_node = ConsumeNode(fuzzed_data_provider);
- CService random_service;
CSubNet random_subnet;
std::string random_string;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
- random_address = ConsumeAddress(fuzzed_data_provider);
- },
- [&] {
random_netaddr = ConsumeNetAddr(fuzzed_data_provider);
},
[&] {
- random_service = ConsumeService(fuzzed_data_provider);
- },
- [&] {
random_subnet = ConsumeSubNet(fuzzed_data_provider);
},
[&] {
random_string = fuzzed_data_provider.ConsumeRandomLengthString(64);
},
[&] {
- std::vector<CAddress> addresses;
- while (fuzzed_data_provider.ConsumeBool()) {
- addresses.push_back(ConsumeAddress(fuzzed_data_provider));
- }
- // Limit nTimePenalty to int32_t to avoid signed integer overflow
- (void)connman.AddNewAddresses(addresses, ConsumeAddress(fuzzed_data_provider), fuzzed_data_provider.ConsumeIntegral<int32_t>());
- },
- [&] {
connman.AddNode(random_string);
},
[&] {
@@ -80,36 +74,30 @@ FUZZ_TARGET_INIT(connman, initialize_connman)
connman.ForEachNode([](auto) {});
},
[&] {
- connman.ForEachNodeThen([](auto) {}, []() {});
- },
- [&] {
(void)connman.ForNode(fuzzed_data_provider.ConsumeIntegral<NodeId>(), [&](auto) { return fuzzed_data_provider.ConsumeBool(); });
},
[&] {
- (void)connman.GetAddresses(fuzzed_data_provider.ConsumeIntegral<size_t>(), fuzzed_data_provider.ConsumeIntegral<size_t>());
+ (void)connman.GetAddresses(
+ /*max_addresses=*/fuzzed_data_provider.ConsumeIntegral<size_t>(),
+ /*max_pct=*/fuzzed_data_provider.ConsumeIntegral<size_t>(),
+ /*network=*/std::nullopt);
},
[&] {
- (void)connman.GetAddresses(random_node, fuzzed_data_provider.ConsumeIntegral<size_t>(), fuzzed_data_provider.ConsumeIntegral<size_t>());
+ (void)connman.GetAddresses(
+ /*requestor=*/random_node,
+ /*max_addresses=*/fuzzed_data_provider.ConsumeIntegral<size_t>(),
+ /*max_pct=*/fuzzed_data_provider.ConsumeIntegral<size_t>());
},
[&] {
(void)connman.GetDeterministicRandomizer(fuzzed_data_provider.ConsumeIntegral<uint64_t>());
},
[&] {
- (void)connman.GetNodeCount(fuzzed_data_provider.PickValueInArray({CConnman::CONNECTIONS_NONE, CConnman::CONNECTIONS_IN, CConnman::CONNECTIONS_OUT, CConnman::CONNECTIONS_ALL}));
- },
- [&] {
- connman.MarkAddressGood(random_address);
+ (void)connman.GetNodeCount(fuzzed_data_provider.PickValueInArray({ConnectionDirection::None, ConnectionDirection::In, ConnectionDirection::Out, ConnectionDirection::Both}));
},
[&] {
(void)connman.OutboundTargetReached(fuzzed_data_provider.ConsumeBool());
},
[&] {
- // Limit now to int32_t to avoid signed integer overflow
- (void)connman.PoissonNextSendInbound(
- std::chrono::microseconds{fuzzed_data_provider.ConsumeIntegral<int32_t>()},
- std::chrono::seconds{fuzzed_data_provider.ConsumeIntegral<int>()});
- },
- [&] {
CSerializedNetMsg serialized_net_msg;
serialized_net_msg.m_type = fuzzed_data_provider.ConsumeRandomLengthString(CMessageHeader::COMMAND_SIZE);
serialized_net_msg.data = ConsumeRandomLengthByteVector(fuzzed_data_provider);
@@ -119,18 +107,9 @@ FUZZ_TARGET_INIT(connman, initialize_connman)
connman.RemoveAddedNode(random_string);
},
[&] {
- const std::vector<bool> asmap = ConsumeRandomLengthBitVector(fuzzed_data_provider);
- if (SanityCheckASMap(asmap)) {
- connman.SetAsmap(asmap);
- }
- },
- [&] {
connman.SetNetworkActive(fuzzed_data_provider.ConsumeBool());
},
[&] {
- connman.SetServices(random_service, ConsumeWeakEnum(fuzzed_data_provider, ALL_SERVICE_FLAGS));
- },
- [&] {
connman.SetTryNewOutboundPeer(fuzzed_data_provider.ConsumeBool());
});
}
diff --git a/src/test/fuzz/crypto.cpp b/src/test/fuzz/crypto.cpp
index eeeac18968..84b95117e2 100644
--- a/src/test/fuzz/crypto.cpp
+++ b/src/test/fuzz/crypto.cpp
@@ -36,7 +36,8 @@ FUZZ_TARGET(crypto)
SHA3_256 sha3;
CSipHasher sip_hasher{fuzzed_data_provider.ConsumeIntegral<uint64_t>(), fuzzed_data_provider.ConsumeIntegral<uint64_t>()};
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 30)
+ {
CallOneOf(
fuzzed_data_provider,
[&] {
diff --git a/src/test/fuzz/crypto_aes256.cpp b/src/test/fuzz/crypto_aes256.cpp
index ccabd1f7dc..c5dd79a61e 100644
--- a/src/test/fuzz/crypto_aes256.cpp
+++ b/src/test/fuzz/crypto_aes256.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,7 +19,7 @@ FUZZ_TARGET(crypto_aes256)
AES256Encrypt encrypt{key.data()};
AES256Decrypt decrypt{key.data()};
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::vector<uint8_t> plaintext = ConsumeFixedLengthByteVector(fuzzed_data_provider, AES_BLOCKSIZE);
std::vector<uint8_t> ciphertext(AES_BLOCKSIZE);
encrypt.Encrypt(ciphertext.data(), plaintext.data());
diff --git a/src/test/fuzz/crypto_aes256cbc.cpp b/src/test/fuzz/crypto_aes256cbc.cpp
index 6d4138e546..72bf962fee 100644
--- a/src/test/fuzz/crypto_aes256cbc.cpp
+++ b/src/test/fuzz/crypto_aes256cbc.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,7 +21,7 @@ FUZZ_TARGET(crypto_aes256cbc)
AES256CBCEncrypt encrypt{key.data(), iv.data(), pad};
AES256CBCDecrypt decrypt{key.data(), iv.data(), pad};
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::vector<uint8_t> plaintext = ConsumeRandomLengthByteVector(fuzzed_data_provider);
std::vector<uint8_t> ciphertext(plaintext.size() + AES_BLOCKSIZE);
const int encrypt_ret = encrypt.Encrypt(plaintext.data(), plaintext.size(), ciphertext.data());
diff --git a/src/test/fuzz/crypto_chacha20.cpp b/src/test/fuzz/crypto_chacha20.cpp
index 8adfa92420..3f552a8cda 100644
--- a/src/test/fuzz/crypto_chacha20.cpp
+++ b/src/test/fuzz/crypto_chacha20.cpp
@@ -19,7 +19,7 @@ FUZZ_TARGET(crypto_chacha20)
const std::vector<unsigned char> key = ConsumeFixedLengthByteVector(fuzzed_data_provider, fuzzed_data_provider.ConsumeIntegralInRange<size_t>(16, 32));
chacha20 = ChaCha20{key.data(), key.size()};
}
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
diff --git a/src/test/fuzz/crypto_chacha20_poly1305_aead.cpp b/src/test/fuzz/crypto_chacha20_poly1305_aead.cpp
index bb4ef22158..596614a71b 100644
--- a/src/test/fuzz/crypto_chacha20_poly1305_aead.cpp
+++ b/src/test/fuzz/crypto_chacha20_poly1305_aead.cpp
@@ -7,6 +7,7 @@
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
+#include <util/overflow.h>
#include <cassert>
#include <cstdint>
@@ -28,7 +29,7 @@ FUZZ_TARGET(crypto_chacha20_poly1305_aead)
std::vector<uint8_t> in(buffer_size + CHACHA20_POLY1305_AEAD_AAD_LEN + POLY1305_TAGLEN, 0);
std::vector<uint8_t> out(buffer_size + CHACHA20_POLY1305_AEAD_AAD_LEN + POLY1305_TAGLEN, 0);
bool is_encrypt = fuzzed_data_provider.ConsumeBool();
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
diff --git a/src/test/fuzz/crypto_diff_fuzz_chacha20.cpp b/src/test/fuzz/crypto_diff_fuzz_chacha20.cpp
new file mode 100644
index 0000000000..fcc96c6418
--- /dev/null
+++ b/src/test/fuzz/crypto_diff_fuzz_chacha20.cpp
@@ -0,0 +1,329 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <crypto/chacha20.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+
+#include <cstdint>
+#include <vector>
+
+/*
+From https://cr.yp.to/chacha.html
+chacha-merged.c version 20080118
+D. J. Bernstein
+Public domain.
+*/
+
+typedef unsigned int u32;
+typedef unsigned char u8;
+
+#define U8C(v) (v##U)
+#define U32C(v) (v##U)
+
+#define U8V(v) ((u8)(v)&U8C(0xFF))
+#define U32V(v) ((u32)(v)&U32C(0xFFFFFFFF))
+
+#define ROTL32(v, n) (U32V((v) << (n)) | ((v) >> (32 - (n))))
+
+#define U8TO32_LITTLE(p) \
+ (((u32)((p)[0])) | ((u32)((p)[1]) << 8) | ((u32)((p)[2]) << 16) | \
+ ((u32)((p)[3]) << 24))
+
+#define U32TO8_LITTLE(p, v) \
+ do { \
+ (p)[0] = U8V((v)); \
+ (p)[1] = U8V((v) >> 8); \
+ (p)[2] = U8V((v) >> 16); \
+ (p)[3] = U8V((v) >> 24); \
+ } while (0)
+
+/* ------------------------------------------------------------------------- */
+/* Data structures */
+
+typedef struct
+{
+ u32 input[16];
+} ECRYPT_ctx;
+
+/* ------------------------------------------------------------------------- */
+/* Mandatory functions */
+
+void ECRYPT_keysetup(
+ ECRYPT_ctx* ctx,
+ const u8* key,
+ u32 keysize, /* Key size in bits. */
+ u32 ivsize); /* IV size in bits. */
+
+void ECRYPT_ivsetup(
+ ECRYPT_ctx* ctx,
+ const u8* iv);
+
+void ECRYPT_encrypt_bytes(
+ ECRYPT_ctx* ctx,
+ const u8* plaintext,
+ u8* ciphertext,
+ u32 msglen); /* Message length in bytes. */
+
+/* ------------------------------------------------------------------------- */
+
+/* Optional features */
+
+void ECRYPT_keystream_bytes(
+ ECRYPT_ctx* ctx,
+ u8* keystream,
+ u32 length); /* Length of keystream in bytes. */
+
+/* ------------------------------------------------------------------------- */
+
+#define ROTATE(v, c) (ROTL32(v, c))
+#define XOR(v, w) ((v) ^ (w))
+#define PLUS(v, w) (U32V((v) + (w)))
+#define PLUSONE(v) (PLUS((v), 1))
+
+#define QUARTERROUND(a, b, c, d) \
+ a = PLUS(a, b); d = ROTATE(XOR(d, a), 16); \
+ c = PLUS(c, d); b = ROTATE(XOR(b, c), 12); \
+ a = PLUS(a, b); d = ROTATE(XOR(d, a), 8); \
+ c = PLUS(c, d); b = ROTATE(XOR(b, c), 7);
+
+static const char sigma[] = "expand 32-byte k";
+static const char tau[] = "expand 16-byte k";
+
+void ECRYPT_keysetup(ECRYPT_ctx* x, const u8* k, u32 kbits, u32 ivbits)
+{
+ const char* constants;
+
+ x->input[4] = U8TO32_LITTLE(k + 0);
+ x->input[5] = U8TO32_LITTLE(k + 4);
+ x->input[6] = U8TO32_LITTLE(k + 8);
+ x->input[7] = U8TO32_LITTLE(k + 12);
+ if (kbits == 256) { /* recommended */
+ k += 16;
+ constants = sigma;
+ } else { /* kbits == 128 */
+ constants = tau;
+ }
+ x->input[8] = U8TO32_LITTLE(k + 0);
+ x->input[9] = U8TO32_LITTLE(k + 4);
+ x->input[10] = U8TO32_LITTLE(k + 8);
+ x->input[11] = U8TO32_LITTLE(k + 12);
+ x->input[0] = U8TO32_LITTLE(constants + 0);
+ x->input[1] = U8TO32_LITTLE(constants + 4);
+ x->input[2] = U8TO32_LITTLE(constants + 8);
+ x->input[3] = U8TO32_LITTLE(constants + 12);
+}
+
+void ECRYPT_ivsetup(ECRYPT_ctx* x, const u8* iv)
+{
+ x->input[12] = 0;
+ x->input[13] = 0;
+ x->input[14] = U8TO32_LITTLE(iv + 0);
+ x->input[15] = U8TO32_LITTLE(iv + 4);
+}
+
+void ECRYPT_encrypt_bytes(ECRYPT_ctx* x, const u8* m, u8* c, u32 bytes)
+{
+ u32 x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15;
+ u32 j0, j1, j2, j3, j4, j5, j6, j7, j8, j9, j10, j11, j12, j13, j14, j15;
+ u8* ctarget = NULL;
+ u8 tmp[64];
+ uint32_t i;
+
+ if (!bytes) return;
+
+ j0 = x->input[0];
+ j1 = x->input[1];
+ j2 = x->input[2];
+ j3 = x->input[3];
+ j4 = x->input[4];
+ j5 = x->input[5];
+ j6 = x->input[6];
+ j7 = x->input[7];
+ j8 = x->input[8];
+ j9 = x->input[9];
+ j10 = x->input[10];
+ j11 = x->input[11];
+ j12 = x->input[12];
+ j13 = x->input[13];
+ j14 = x->input[14];
+ j15 = x->input[15];
+
+ for (;;) {
+ if (bytes < 64) {
+ for (i = 0; i < bytes; ++i)
+ tmp[i] = m[i];
+ m = tmp;
+ ctarget = c;
+ c = tmp;
+ }
+ x0 = j0;
+ x1 = j1;
+ x2 = j2;
+ x3 = j3;
+ x4 = j4;
+ x5 = j5;
+ x6 = j6;
+ x7 = j7;
+ x8 = j8;
+ x9 = j9;
+ x10 = j10;
+ x11 = j11;
+ x12 = j12;
+ x13 = j13;
+ x14 = j14;
+ x15 = j15;
+ for (i = 20; i > 0; i -= 2) {
+ QUARTERROUND(x0, x4, x8, x12)
+ QUARTERROUND(x1, x5, x9, x13)
+ QUARTERROUND(x2, x6, x10, x14)
+ QUARTERROUND(x3, x7, x11, x15)
+ QUARTERROUND(x0, x5, x10, x15)
+ QUARTERROUND(x1, x6, x11, x12)
+ QUARTERROUND(x2, x7, x8, x13)
+ QUARTERROUND(x3, x4, x9, x14)
+ }
+ x0 = PLUS(x0, j0);
+ x1 = PLUS(x1, j1);
+ x2 = PLUS(x2, j2);
+ x3 = PLUS(x3, j3);
+ x4 = PLUS(x4, j4);
+ x5 = PLUS(x5, j5);
+ x6 = PLUS(x6, j6);
+ x7 = PLUS(x7, j7);
+ x8 = PLUS(x8, j8);
+ x9 = PLUS(x9, j9);
+ x10 = PLUS(x10, j10);
+ x11 = PLUS(x11, j11);
+ x12 = PLUS(x12, j12);
+ x13 = PLUS(x13, j13);
+ x14 = PLUS(x14, j14);
+ x15 = PLUS(x15, j15);
+
+ x0 = XOR(x0, U8TO32_LITTLE(m + 0));
+ x1 = XOR(x1, U8TO32_LITTLE(m + 4));
+ x2 = XOR(x2, U8TO32_LITTLE(m + 8));
+ x3 = XOR(x3, U8TO32_LITTLE(m + 12));
+ x4 = XOR(x4, U8TO32_LITTLE(m + 16));
+ x5 = XOR(x5, U8TO32_LITTLE(m + 20));
+ x6 = XOR(x6, U8TO32_LITTLE(m + 24));
+ x7 = XOR(x7, U8TO32_LITTLE(m + 28));
+ x8 = XOR(x8, U8TO32_LITTLE(m + 32));
+ x9 = XOR(x9, U8TO32_LITTLE(m + 36));
+ x10 = XOR(x10, U8TO32_LITTLE(m + 40));
+ x11 = XOR(x11, U8TO32_LITTLE(m + 44));
+ x12 = XOR(x12, U8TO32_LITTLE(m + 48));
+ x13 = XOR(x13, U8TO32_LITTLE(m + 52));
+ x14 = XOR(x14, U8TO32_LITTLE(m + 56));
+ x15 = XOR(x15, U8TO32_LITTLE(m + 60));
+
+ j12 = PLUSONE(j12);
+ if (!j12) {
+ j13 = PLUSONE(j13);
+ /* stopping at 2^70 bytes per nonce is user's responsibility */
+ }
+
+ U32TO8_LITTLE(c + 0, x0);
+ U32TO8_LITTLE(c + 4, x1);
+ U32TO8_LITTLE(c + 8, x2);
+ U32TO8_LITTLE(c + 12, x3);
+ U32TO8_LITTLE(c + 16, x4);
+ U32TO8_LITTLE(c + 20, x5);
+ U32TO8_LITTLE(c + 24, x6);
+ U32TO8_LITTLE(c + 28, x7);
+ U32TO8_LITTLE(c + 32, x8);
+ U32TO8_LITTLE(c + 36, x9);
+ U32TO8_LITTLE(c + 40, x10);
+ U32TO8_LITTLE(c + 44, x11);
+ U32TO8_LITTLE(c + 48, x12);
+ U32TO8_LITTLE(c + 52, x13);
+ U32TO8_LITTLE(c + 56, x14);
+ U32TO8_LITTLE(c + 60, x15);
+
+ if (bytes <= 64) {
+ if (bytes < 64) {
+ for (i = 0; i < bytes; ++i)
+ ctarget[i] = c[i];
+ }
+ x->input[12] = j12;
+ x->input[13] = j13;
+ return;
+ }
+ bytes -= 64;
+ c += 64;
+ m += 64;
+ }
+}
+
+void ECRYPT_keystream_bytes(ECRYPT_ctx* x, u8* stream, u32 bytes)
+{
+ u32 i;
+ for (i = 0; i < bytes; ++i)
+ stream[i] = 0;
+ ECRYPT_encrypt_bytes(x, stream, stream, bytes);
+}
+
+FUZZ_TARGET(crypto_diff_fuzz_chacha20)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+
+ ChaCha20 chacha20;
+ ECRYPT_ctx ctx;
+ // D. J. Bernstein doesn't initialise ctx to 0 while Bitcoin Core initialises chacha20 to 0 in the constructor
+ for (int i = 0; i < 16; i++) {
+ ctx.input[i] = 0;
+ }
+
+ if (fuzzed_data_provider.ConsumeBool()) {
+ const std::vector<unsigned char> key = ConsumeFixedLengthByteVector(fuzzed_data_provider, fuzzed_data_provider.ConsumeIntegralInRange<size_t>(16, 32));
+ chacha20 = ChaCha20{key.data(), key.size()};
+ ECRYPT_keysetup(&ctx, key.data(), key.size() * 8, 0);
+ // ECRYPT_keysetup() doesn't set the counter and nonce to 0 while SetKey() does
+ uint8_t iv[8] = {0, 0, 0, 0, 0, 0, 0, 0};
+ ECRYPT_ivsetup(&ctx, iv);
+ }
+
+ LIMITED_WHILE (fuzzed_data_provider.ConsumeBool(), 3000) {
+ CallOneOf(
+ fuzzed_data_provider,
+ [&] {
+ const std::vector<unsigned char> key = ConsumeFixedLengthByteVector(fuzzed_data_provider, fuzzed_data_provider.ConsumeIntegralInRange<size_t>(16, 32));
+ chacha20.SetKey(key.data(), key.size());
+ ECRYPT_keysetup(&ctx, key.data(), key.size() * 8, 0);
+ // ECRYPT_keysetup() doesn't set the counter and nonce to 0 while SetKey() does
+ uint8_t iv[8] = {0, 0, 0, 0, 0, 0, 0, 0};
+ ECRYPT_ivsetup(&ctx, iv);
+ },
+ [&] {
+ uint64_t iv = fuzzed_data_provider.ConsumeIntegral<uint64_t>();
+ chacha20.SetIV(iv);
+ ctx.input[14] = iv;
+ ctx.input[15] = iv >> 32;
+ },
+ [&] {
+ uint64_t counter = fuzzed_data_provider.ConsumeIntegral<uint64_t>();
+ chacha20.Seek(counter);
+ ctx.input[12] = counter;
+ ctx.input[13] = counter >> 32;
+ },
+ [&] {
+ uint32_t integralInRange = fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096);
+ std::vector<uint8_t> output(integralInRange);
+ chacha20.Keystream(output.data(), output.size());
+ std::vector<uint8_t> djb_output(integralInRange);
+ ECRYPT_keystream_bytes(&ctx, djb_output.data(), djb_output.size());
+ assert(output == djb_output);
+ },
+ [&] {
+ uint32_t integralInRange = fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 4096);
+ std::vector<uint8_t> output(integralInRange);
+ const std::vector<uint8_t> input = ConsumeFixedLengthByteVector(fuzzed_data_provider, output.size());
+ chacha20.Crypt(input.data(), output.data(), input.size());
+ std::vector<uint8_t> djb_output(integralInRange);
+ ECRYPT_encrypt_bytes(&ctx, input.data(), djb_output.data(), input.size());
+ assert(output == djb_output);
+ });
+ }
+}
diff --git a/src/test/fuzz/crypto_hkdf_hmac_sha256_l32.cpp b/src/test/fuzz/crypto_hkdf_hmac_sha256_l32.cpp
index 8cb9c55283..af6d108c07 100644
--- a/src/test/fuzz/crypto_hkdf_hmac_sha256_l32.cpp
+++ b/src/test/fuzz/crypto_hkdf_hmac_sha256_l32.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -18,7 +18,7 @@ FUZZ_TARGET(crypto_hkdf_hmac_sha256_l32)
const std::vector<uint8_t> initial_key_material = ConsumeRandomLengthByteVector(fuzzed_data_provider);
CHKDF_HMAC_SHA256_L32 hkdf_hmac_sha256_l32(initial_key_material.data(), initial_key_material.size(), fuzzed_data_provider.ConsumeRandomLengthString(1024));
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
std::vector<uint8_t> out(32);
hkdf_hmac_sha256_l32.Expand32(fuzzed_data_provider.ConsumeRandomLengthString(128), out.data());
}
diff --git a/src/test/fuzz/cuckoocache.cpp b/src/test/fuzz/cuckoocache.cpp
index dc20dc3f62..50a71ee03f 100644
--- a/src/test/fuzz/cuckoocache.cpp
+++ b/src/test/fuzz/cuckoocache.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -30,14 +30,14 @@ FUZZ_TARGET(cuckoocache)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
fuzzed_data_provider_ptr = &fuzzed_data_provider;
- CuckooCache::cache<bool, RandomHasher> cuckoo_cache{};
+ CuckooCache::cache<int, RandomHasher> cuckoo_cache{};
if (fuzzed_data_provider.ConsumeBool()) {
const size_t megabytes = fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 16);
cuckoo_cache.setup_bytes(megabytes << 20);
} else {
cuckoo_cache.setup(fuzzed_data_provider.ConsumeIntegralInRange<uint32_t>(0, 4096));
}
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
if (fuzzed_data_provider.ConsumeBool()) {
cuckoo_cache.insert(fuzzed_data_provider.ConsumeBool());
} else {
diff --git a/src/test/fuzz/danger_link_all.sh b/src/test/fuzz/danger_link_all.sh
deleted file mode 100755
index 2ddd00c658..0000000000
--- a/src/test/fuzz/danger_link_all.sh
+++ /dev/null
@@ -1,28 +0,0 @@
-#!/usr/bin/env bash
-# Copyright (c) 2020 The Bitcoin Core developers
-# Distributed under the MIT software license, see the accompanying
-# file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-export LC_ALL=C.UTF-8
-
-set -e
-
-ROOT_DIR="$(git rev-parse --show-toplevel)"
-
-# Run only once (break make recursion)
-if [ -d "${ROOT_DIR}/lock_fuzz_link_all" ]; then
- exit
-fi
-mkdir "${ROOT_DIR}/lock_fuzz_link_all"
-
-echo "Linking each fuzz target separately."
-for FUZZING_HARNESS in $(PRINT_ALL_FUZZ_TARGETS_AND_ABORT=1 "${ROOT_DIR}/src/test/fuzz/fuzz" | sort -u); do
- echo "Building src/test/fuzz/${FUZZING_HARNESS} ..."
- git checkout -- "${ROOT_DIR}/src/test/fuzz/fuzz.cpp"
- sed -i "s/std::getenv(\"FUZZ\")/\"${FUZZING_HARNESS}\"/g" "${ROOT_DIR}/src/test/fuzz/fuzz.cpp"
- make
- mv "${ROOT_DIR}/src/test/fuzz/fuzz" "${ROOT_DIR}/src/test/fuzz/${FUZZING_HARNESS}"
-done
-git checkout -- "${ROOT_DIR}/src/test/fuzz/fuzz.cpp"
-rmdir "${ROOT_DIR}/lock_fuzz_link_all"
-echo "Successfully built all fuzz targets."
diff --git a/src/test/fuzz/data_stream.cpp b/src/test/fuzz/data_stream.cpp
deleted file mode 100644
index 473caec6ff..0000000000
--- a/src/test/fuzz/data_stream.cpp
+++ /dev/null
@@ -1,26 +0,0 @@
-// Copyright (c) 2020-2021 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#include <addrman.h>
-#include <net.h>
-#include <test/fuzz/FuzzedDataProvider.h>
-#include <test/fuzz/fuzz.h>
-#include <test/fuzz/util.h>
-#include <test/util/setup_common.h>
-
-#include <cstdint>
-#include <vector>
-
-void initialize_data_stream_addr_man()
-{
- static const auto testing_setup = MakeNoLogFileContext<>();
-}
-
-FUZZ_TARGET_INIT(data_stream_addr_man, initialize_data_stream_addr_man)
-{
- FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
- CDataStream data_stream = ConsumeDataStream(fuzzed_data_provider);
- CAddrMan addr_man;
- CAddrDB::Read(addr_man, data_stream);
-}
diff --git a/src/test/fuzz/descriptor_parse.cpp b/src/test/fuzz/descriptor_parse.cpp
index 0d1921f285..f5f86a574a 100644
--- a/src/test/fuzz/descriptor_parse.cpp
+++ b/src/test/fuzz/descriptor_parse.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,7 +6,6 @@
#include <pubkey.h>
#include <script/descriptor.h>
#include <test/fuzz/fuzz.h>
-#include <util/memory.h>
void initialize_descriptor_parse()
{
diff --git a/src/test/fuzz/deserialize.cpp b/src/test/fuzz/deserialize.cpp
index 64c6e49615..ed6f172a2a 100644
--- a/src/test/fuzz/deserialize.cpp
+++ b/src/test/fuzz/deserialize.cpp
@@ -4,6 +4,7 @@
#include <addrdb.h>
#include <addrman.h>
+#include <addrman_impl.h>
#include <blockencodings.h>
#include <blockfilter.h>
#include <chain.h>
@@ -15,25 +16,36 @@
#include <net.h>
#include <netbase.h>
#include <node/utxo_snapshot.h>
-#include <optional.h>
#include <primitives/block.h>
#include <protocol.h>
#include <psbt.h>
#include <pubkey.h>
#include <script/keyorigin.h>
#include <streams.h>
+#include <test/util/setup_common.h>
#include <undo.h>
+#include <util/system.h>
#include <version.h>
#include <exception>
+#include <optional>
#include <stdexcept>
#include <stdint.h>
#include <unistd.h>
#include <test/fuzz/fuzz.h>
+using node::SnapshotMetadata;
+
+namespace {
+const BasicTestingSetup* g_setup;
+} // namespace
+
void initialize_deserialize()
{
+ static const auto testing_setup = MakeNoLogFileContext<>();
+ g_setup = testing_setup.get();
+
// Fuzzers using pubkey must hold an ECCVerifyHandle.
static const ECCVerifyHandle verify_handle;
}
@@ -53,9 +65,9 @@ struct invalid_fuzzing_input_exception : public std::exception {
};
template <typename T>
-CDataStream Serialize(const T& obj, const int version = INIT_PROTO_VERSION)
+CDataStream Serialize(const T& obj, const int version = INIT_PROTO_VERSION, const int ser_type = SER_NETWORK)
{
- CDataStream ds(SER_NETWORK, version);
+ CDataStream ds(ser_type, version);
ds << obj;
return ds;
}
@@ -69,9 +81,9 @@ T Deserialize(CDataStream ds)
}
template <typename T>
-void DeserializeFromFuzzingInput(FuzzBufferType buffer, T& obj, const Optional<int> protocol_version = nullopt)
+void DeserializeFromFuzzingInput(FuzzBufferType buffer, T& obj, const std::optional<int> protocol_version = std::nullopt, const int ser_type = SER_NETWORK)
{
- CDataStream ds(buffer, SER_NETWORK, INIT_PROTO_VERSION);
+ CDataStream ds(buffer, ser_type, INIT_PROTO_VERSION);
if (protocol_version) {
ds.SetVersion(*protocol_version);
} else {
@@ -92,209 +104,223 @@ void DeserializeFromFuzzingInput(FuzzBufferType buffer, T& obj, const Optional<i
}
template <typename T>
-void AssertEqualAfterSerializeDeserialize(const T& obj, const int version = INIT_PROTO_VERSION)
+void AssertEqualAfterSerializeDeserialize(const T& obj, const int version = INIT_PROTO_VERSION, const int ser_type = SER_NETWORK)
{
- assert(Deserialize<T>(Serialize(obj, version)) == obj);
+ assert(Deserialize<T>(Serialize(obj, version, ser_type)) == obj);
}
} // namespace
FUZZ_TARGET_DESERIALIZE(block_filter_deserialize, {
- BlockFilter block_filter;
- DeserializeFromFuzzingInput(buffer, block_filter);
+ BlockFilter block_filter;
+ DeserializeFromFuzzingInput(buffer, block_filter);
})
FUZZ_TARGET_DESERIALIZE(addr_info_deserialize, {
- CAddrInfo addr_info;
- DeserializeFromFuzzingInput(buffer, addr_info);
+ AddrInfo addr_info;
+ DeserializeFromFuzzingInput(buffer, addr_info);
})
FUZZ_TARGET_DESERIALIZE(block_file_info_deserialize, {
- CBlockFileInfo block_file_info;
- DeserializeFromFuzzingInput(buffer, block_file_info);
+ CBlockFileInfo block_file_info;
+ DeserializeFromFuzzingInput(buffer, block_file_info);
})
FUZZ_TARGET_DESERIALIZE(block_header_and_short_txids_deserialize, {
- CBlockHeaderAndShortTxIDs block_header_and_short_txids;
- DeserializeFromFuzzingInput(buffer, block_header_and_short_txids);
+ CBlockHeaderAndShortTxIDs block_header_and_short_txids;
+ DeserializeFromFuzzingInput(buffer, block_header_and_short_txids);
})
FUZZ_TARGET_DESERIALIZE(fee_rate_deserialize, {
- CFeeRate fee_rate;
- DeserializeFromFuzzingInput(buffer, fee_rate);
- AssertEqualAfterSerializeDeserialize(fee_rate);
+ CFeeRate fee_rate;
+ DeserializeFromFuzzingInput(buffer, fee_rate);
+ AssertEqualAfterSerializeDeserialize(fee_rate);
})
FUZZ_TARGET_DESERIALIZE(merkle_block_deserialize, {
- CMerkleBlock merkle_block;
- DeserializeFromFuzzingInput(buffer, merkle_block);
+ CMerkleBlock merkle_block;
+ DeserializeFromFuzzingInput(buffer, merkle_block);
})
FUZZ_TARGET_DESERIALIZE(out_point_deserialize, {
- COutPoint out_point;
- DeserializeFromFuzzingInput(buffer, out_point);
- AssertEqualAfterSerializeDeserialize(out_point);
+ COutPoint out_point;
+ DeserializeFromFuzzingInput(buffer, out_point);
+ AssertEqualAfterSerializeDeserialize(out_point);
})
FUZZ_TARGET_DESERIALIZE(partial_merkle_tree_deserialize, {
- CPartialMerkleTree partial_merkle_tree;
- DeserializeFromFuzzingInput(buffer, partial_merkle_tree);
+ CPartialMerkleTree partial_merkle_tree;
+ DeserializeFromFuzzingInput(buffer, partial_merkle_tree);
})
FUZZ_TARGET_DESERIALIZE(pub_key_deserialize, {
- CPubKey pub_key;
- DeserializeFromFuzzingInput(buffer, pub_key);
- // TODO: The following equivalence should hold for CPubKey? Fix.
- // AssertEqualAfterSerializeDeserialize(pub_key);
+ CPubKey pub_key;
+ DeserializeFromFuzzingInput(buffer, pub_key);
+ AssertEqualAfterSerializeDeserialize(pub_key);
})
FUZZ_TARGET_DESERIALIZE(script_deserialize, {
- CScript script;
- DeserializeFromFuzzingInput(buffer, script);
-})
-FUZZ_TARGET_DESERIALIZE(sub_net_deserialize, {
- CSubNet sub_net_1;
- DeserializeFromFuzzingInput(buffer, sub_net_1, INIT_PROTO_VERSION);
- AssertEqualAfterSerializeDeserialize(sub_net_1, INIT_PROTO_VERSION);
- CSubNet sub_net_2;
- DeserializeFromFuzzingInput(buffer, sub_net_2, INIT_PROTO_VERSION | ADDRV2_FORMAT);
- AssertEqualAfterSerializeDeserialize(sub_net_2, INIT_PROTO_VERSION | ADDRV2_FORMAT);
- CSubNet sub_net_3;
- DeserializeFromFuzzingInput(buffer, sub_net_3);
- AssertEqualAfterSerializeDeserialize(sub_net_3, INIT_PROTO_VERSION | ADDRV2_FORMAT);
+ CScript script;
+ DeserializeFromFuzzingInput(buffer, script);
})
FUZZ_TARGET_DESERIALIZE(tx_in_deserialize, {
- CTxIn tx_in;
- DeserializeFromFuzzingInput(buffer, tx_in);
- AssertEqualAfterSerializeDeserialize(tx_in);
+ CTxIn tx_in;
+ DeserializeFromFuzzingInput(buffer, tx_in);
+ AssertEqualAfterSerializeDeserialize(tx_in);
})
FUZZ_TARGET_DESERIALIZE(flat_file_pos_deserialize, {
- FlatFilePos flat_file_pos;
- DeserializeFromFuzzingInput(buffer, flat_file_pos);
- AssertEqualAfterSerializeDeserialize(flat_file_pos);
+ FlatFilePos flat_file_pos;
+ DeserializeFromFuzzingInput(buffer, flat_file_pos);
+ AssertEqualAfterSerializeDeserialize(flat_file_pos);
})
FUZZ_TARGET_DESERIALIZE(key_origin_info_deserialize, {
- KeyOriginInfo key_origin_info;
- DeserializeFromFuzzingInput(buffer, key_origin_info);
- AssertEqualAfterSerializeDeserialize(key_origin_info);
+ KeyOriginInfo key_origin_info;
+ DeserializeFromFuzzingInput(buffer, key_origin_info);
+ AssertEqualAfterSerializeDeserialize(key_origin_info);
})
FUZZ_TARGET_DESERIALIZE(partially_signed_transaction_deserialize, {
- PartiallySignedTransaction partially_signed_transaction;
- DeserializeFromFuzzingInput(buffer, partially_signed_transaction);
+ PartiallySignedTransaction partially_signed_transaction;
+ DeserializeFromFuzzingInput(buffer, partially_signed_transaction);
})
FUZZ_TARGET_DESERIALIZE(prefilled_transaction_deserialize, {
- PrefilledTransaction prefilled_transaction;
- DeserializeFromFuzzingInput(buffer, prefilled_transaction);
+ PrefilledTransaction prefilled_transaction;
+ DeserializeFromFuzzingInput(buffer, prefilled_transaction);
})
FUZZ_TARGET_DESERIALIZE(psbt_input_deserialize, {
- PSBTInput psbt_input;
- DeserializeFromFuzzingInput(buffer, psbt_input);
+ PSBTInput psbt_input;
+ DeserializeFromFuzzingInput(buffer, psbt_input);
})
FUZZ_TARGET_DESERIALIZE(psbt_output_deserialize, {
- PSBTOutput psbt_output;
- DeserializeFromFuzzingInput(buffer, psbt_output);
+ PSBTOutput psbt_output;
+ DeserializeFromFuzzingInput(buffer, psbt_output);
})
FUZZ_TARGET_DESERIALIZE(block_deserialize, {
- CBlock block;
- DeserializeFromFuzzingInput(buffer, block);
+ CBlock block;
+ DeserializeFromFuzzingInput(buffer, block);
})
FUZZ_TARGET_DESERIALIZE(blocklocator_deserialize, {
- CBlockLocator bl;
- DeserializeFromFuzzingInput(buffer, bl);
+ CBlockLocator bl;
+ DeserializeFromFuzzingInput(buffer, bl);
})
FUZZ_TARGET_DESERIALIZE(blockmerkleroot, {
- CBlock block;
- DeserializeFromFuzzingInput(buffer, block);
- bool mutated;
- BlockMerkleRoot(block, &mutated);
+ CBlock block;
+ DeserializeFromFuzzingInput(buffer, block);
+ bool mutated;
+ BlockMerkleRoot(block, &mutated);
})
FUZZ_TARGET_DESERIALIZE(addrman_deserialize, {
- CAddrMan am;
- DeserializeFromFuzzingInput(buffer, am);
+ AddrMan am(/*asmap=*/std::vector<bool>(),
+ /*deterministic=*/false,
+ g_setup->m_node.args->GetIntArg("-checkaddrman", 0));
+ DeserializeFromFuzzingInput(buffer, am);
})
FUZZ_TARGET_DESERIALIZE(blockheader_deserialize, {
- CBlockHeader bh;
- DeserializeFromFuzzingInput(buffer, bh);
-})
-FUZZ_TARGET_DESERIALIZE(banentry_deserialize, {
- CBanEntry be;
- DeserializeFromFuzzingInput(buffer, be);
+ CBlockHeader bh;
+ DeserializeFromFuzzingInput(buffer, bh);
})
FUZZ_TARGET_DESERIALIZE(txundo_deserialize, {
- CTxUndo tu;
- DeserializeFromFuzzingInput(buffer, tu);
+ CTxUndo tu;
+ DeserializeFromFuzzingInput(buffer, tu);
})
FUZZ_TARGET_DESERIALIZE(blockundo_deserialize, {
- CBlockUndo bu;
- DeserializeFromFuzzingInput(buffer, bu);
+ CBlockUndo bu;
+ DeserializeFromFuzzingInput(buffer, bu);
})
FUZZ_TARGET_DESERIALIZE(coins_deserialize, {
- Coin coin;
- DeserializeFromFuzzingInput(buffer, coin);
+ Coin coin;
+ DeserializeFromFuzzingInput(buffer, coin);
})
FUZZ_TARGET_DESERIALIZE(netaddr_deserialize, {
- CNetAddr na;
- DeserializeFromFuzzingInput(buffer, na);
- if (na.IsAddrV1Compatible()) {
- AssertEqualAfterSerializeDeserialize(na);
- }
- AssertEqualAfterSerializeDeserialize(na, INIT_PROTO_VERSION | ADDRV2_FORMAT);
+ CNetAddr na;
+ DeserializeFromFuzzingInput(buffer, na);
+ if (na.IsAddrV1Compatible()) {
+ AssertEqualAfterSerializeDeserialize(na);
+ }
+ AssertEqualAfterSerializeDeserialize(na, INIT_PROTO_VERSION | ADDRV2_FORMAT);
})
FUZZ_TARGET_DESERIALIZE(service_deserialize, {
- CService s;
- DeserializeFromFuzzingInput(buffer, s);
- if (s.IsAddrV1Compatible()) {
- AssertEqualAfterSerializeDeserialize(s);
- }
- AssertEqualAfterSerializeDeserialize(s, INIT_PROTO_VERSION | ADDRV2_FORMAT);
- CService s1;
- DeserializeFromFuzzingInput(buffer, s1, INIT_PROTO_VERSION);
- AssertEqualAfterSerializeDeserialize(s1, INIT_PROTO_VERSION);
- assert(s1.IsAddrV1Compatible());
- CService s2;
- DeserializeFromFuzzingInput(buffer, s2, INIT_PROTO_VERSION | ADDRV2_FORMAT);
- AssertEqualAfterSerializeDeserialize(s2, INIT_PROTO_VERSION | ADDRV2_FORMAT);
+ CService s;
+ DeserializeFromFuzzingInput(buffer, s);
+ if (s.IsAddrV1Compatible()) {
+ AssertEqualAfterSerializeDeserialize(s);
+ }
+ AssertEqualAfterSerializeDeserialize(s, INIT_PROTO_VERSION | ADDRV2_FORMAT);
+ CService s1;
+ DeserializeFromFuzzingInput(buffer, s1, INIT_PROTO_VERSION);
+ AssertEqualAfterSerializeDeserialize(s1, INIT_PROTO_VERSION);
+ assert(s1.IsAddrV1Compatible());
+ CService s2;
+ DeserializeFromFuzzingInput(buffer, s2, INIT_PROTO_VERSION | ADDRV2_FORMAT);
+ AssertEqualAfterSerializeDeserialize(s2, INIT_PROTO_VERSION | ADDRV2_FORMAT);
})
FUZZ_TARGET_DESERIALIZE(messageheader_deserialize, {
- CMessageHeader mh;
- DeserializeFromFuzzingInput(buffer, mh);
- (void)mh.IsCommandValid();
-})
-FUZZ_TARGET_DESERIALIZE(address_deserialize, {
- CAddress a;
- DeserializeFromFuzzingInput(buffer, a);
+ CMessageHeader mh;
+ DeserializeFromFuzzingInput(buffer, mh);
+ (void)mh.IsCommandValid();
+})
+FUZZ_TARGET_DESERIALIZE(address_deserialize_v1_notime, {
+ CAddress a;
+ DeserializeFromFuzzingInput(buffer, a, INIT_PROTO_VERSION);
+ // A CAddress without nTime (as is expected under INIT_PROTO_VERSION) will roundtrip
+ // in all 5 formats (with/without nTime, v1/v2, network/disk)
+ AssertEqualAfterSerializeDeserialize(a, INIT_PROTO_VERSION);
+ AssertEqualAfterSerializeDeserialize(a, PROTOCOL_VERSION);
+ AssertEqualAfterSerializeDeserialize(a, 0, SER_DISK);
+ AssertEqualAfterSerializeDeserialize(a, PROTOCOL_VERSION | ADDRV2_FORMAT);
+ AssertEqualAfterSerializeDeserialize(a, ADDRV2_FORMAT, SER_DISK);
+})
+FUZZ_TARGET_DESERIALIZE(address_deserialize_v1_withtime, {
+ CAddress a;
+ DeserializeFromFuzzingInput(buffer, a, PROTOCOL_VERSION);
+ // A CAddress in V1 mode will roundtrip in all 4 formats that have nTime.
+ AssertEqualAfterSerializeDeserialize(a, PROTOCOL_VERSION);
+ AssertEqualAfterSerializeDeserialize(a, 0, SER_DISK);
+ AssertEqualAfterSerializeDeserialize(a, PROTOCOL_VERSION | ADDRV2_FORMAT);
+ AssertEqualAfterSerializeDeserialize(a, ADDRV2_FORMAT, SER_DISK);
+})
+FUZZ_TARGET_DESERIALIZE(address_deserialize_v2, {
+ CAddress a;
+ DeserializeFromFuzzingInput(buffer, a, PROTOCOL_VERSION | ADDRV2_FORMAT);
+ // A CAddress in V2 mode will roundtrip in both V2 formats, and also in the V1 formats
+ // with time if it's V1 compatible.
+ if (a.IsAddrV1Compatible()) {
+ AssertEqualAfterSerializeDeserialize(a, PROTOCOL_VERSION);
+ AssertEqualAfterSerializeDeserialize(a, 0, SER_DISK);
+ }
+ AssertEqualAfterSerializeDeserialize(a, PROTOCOL_VERSION | ADDRV2_FORMAT);
+ AssertEqualAfterSerializeDeserialize(a, ADDRV2_FORMAT, SER_DISK);
})
FUZZ_TARGET_DESERIALIZE(inv_deserialize, {
- CInv i;
- DeserializeFromFuzzingInput(buffer, i);
+ CInv i;
+ DeserializeFromFuzzingInput(buffer, i);
})
FUZZ_TARGET_DESERIALIZE(bloomfilter_deserialize, {
- CBloomFilter bf;
- DeserializeFromFuzzingInput(buffer, bf);
+ CBloomFilter bf;
+ DeserializeFromFuzzingInput(buffer, bf);
})
FUZZ_TARGET_DESERIALIZE(diskblockindex_deserialize, {
- CDiskBlockIndex dbi;
- DeserializeFromFuzzingInput(buffer, dbi);
+ CDiskBlockIndex dbi;
+ DeserializeFromFuzzingInput(buffer, dbi);
})
FUZZ_TARGET_DESERIALIZE(txoutcompressor_deserialize, {
- CTxOut to;
- auto toc = Using<TxOutCompression>(to);
- DeserializeFromFuzzingInput(buffer, toc);
+ CTxOut to;
+ auto toc = Using<TxOutCompression>(to);
+ DeserializeFromFuzzingInput(buffer, toc);
})
FUZZ_TARGET_DESERIALIZE(blocktransactions_deserialize, {
- BlockTransactions bt;
- DeserializeFromFuzzingInput(buffer, bt);
+ BlockTransactions bt;
+ DeserializeFromFuzzingInput(buffer, bt);
})
FUZZ_TARGET_DESERIALIZE(blocktransactionsrequest_deserialize, {
- BlockTransactionsRequest btr;
- DeserializeFromFuzzingInput(buffer, btr);
+ BlockTransactionsRequest btr;
+ DeserializeFromFuzzingInput(buffer, btr);
})
FUZZ_TARGET_DESERIALIZE(snapshotmetadata_deserialize, {
- SnapshotMetadata snapshot_metadata;
- DeserializeFromFuzzingInput(buffer, snapshot_metadata);
+ SnapshotMetadata snapshot_metadata;
+ DeserializeFromFuzzingInput(buffer, snapshot_metadata);
})
FUZZ_TARGET_DESERIALIZE(uint160_deserialize, {
- uint160 u160;
- DeserializeFromFuzzingInput(buffer, u160);
- AssertEqualAfterSerializeDeserialize(u160);
+ uint160 u160;
+ DeserializeFromFuzzingInput(buffer, u160);
+ AssertEqualAfterSerializeDeserialize(u160);
})
FUZZ_TARGET_DESERIALIZE(uint256_deserialize, {
- uint256 u256;
- DeserializeFromFuzzingInput(buffer, u256);
- AssertEqualAfterSerializeDeserialize(u256);
-})
- // Classes intentionally not covered in this file since their deserialization code is
- // fuzzed elsewhere:
- // * Deserialization of CTxOut is fuzzed in test/fuzz/tx_out.cpp
- // * Deserialization of CMutableTransaction is fuzzed in src/test/fuzz/transaction.cpp
+ uint256 u256;
+ DeserializeFromFuzzingInput(buffer, u256);
+ AssertEqualAfterSerializeDeserialize(u256);
+})
+// Classes intentionally not covered in this file since their deserialization code is
+// fuzzed elsewhere:
+// * Deserialization of CTxOut is fuzzed in test/fuzz/tx_out.cpp
+// * Deserialization of CMutableTransaction is fuzzed in src/test/fuzz/transaction.cpp
diff --git a/src/test/fuzz/eval_script.cpp b/src/test/fuzz/eval_script.cpp
index 635288fc36..e7c49c2dbc 100644
--- a/src/test/fuzz/eval_script.cpp
+++ b/src/test/fuzz/eval_script.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,7 +6,6 @@
#include <script/interpreter.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
-#include <util/memory.h>
#include <limits>
diff --git a/src/test/fuzz/fee_rate.cpp b/src/test/fuzz/fee_rate.cpp
index 2955213635..92616b62be 100644
--- a/src/test/fuzz/fee_rate.cpp
+++ b/src/test/fuzz/fee_rate.cpp
@@ -1,8 +1,8 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
+#include <consensus/amount.h>
#include <policy/feerate.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
@@ -20,8 +20,8 @@ FUZZ_TARGET(fee_rate)
const CFeeRate fee_rate{satoshis_per_k};
(void)fee_rate.GetFeePerK();
- const size_t bytes = fuzzed_data_provider.ConsumeIntegral<size_t>();
- if (!MultiplicationOverflow(static_cast<int64_t>(bytes), satoshis_per_k) && bytes <= static_cast<uint64_t>(std::numeric_limits<int64_t>::max())) {
+ const auto bytes = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
+ if (!MultiplicationOverflow(int64_t{bytes}, satoshis_per_k)) {
(void)fee_rate.GetFee(bytes);
}
(void)fee_rate.ToString();
diff --git a/src/test/fuzz/fees.cpp b/src/test/fuzz/fees.cpp
index 61c7681bf9..deb0ed65ca 100644
--- a/src/test/fuzz/fees.cpp
+++ b/src/test/fuzz/fees.cpp
@@ -1,8 +1,8 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
+#include <consensus/amount.h>
#include <policy/fees.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
@@ -18,7 +18,7 @@ FUZZ_TARGET(fees)
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
const CFeeRate minimal_incremental_fee{ConsumeMoney(fuzzed_data_provider)};
FeeFilterRounder fee_filter_rounder{minimal_incremental_fee};
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const CAmount current_minimum_fee = ConsumeMoney(fuzzed_data_provider);
const CAmount rounded_fee = fee_filter_rounder.round(current_minimum_fee);
assert(MoneyRange(rounded_fee));
diff --git a/src/test/fuzz/float.cpp b/src/test/fuzz/float.cpp
index d18a87d177..8714ab8a04 100644
--- a/src/test/fuzz/float.cpp
+++ b/src/test/fuzz/float.cpp
@@ -1,42 +1,62 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <memusage.h>
-#include <serialize.h>
-#include <streams.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <util/serfloat.h>
#include <version.h>
#include <cassert>
-#include <cstdint>
+#include <cmath>
+#include <limits>
FUZZ_TARGET(float)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
{
- const double d = fuzzed_data_provider.ConsumeFloatingPoint<double>();
+ const double d{[&] {
+ double tmp;
+ CallOneOf(
+ fuzzed_data_provider,
+ // an actual number
+ [&] { tmp = fuzzed_data_provider.ConsumeFloatingPoint<double>(); },
+ // special numbers and NANs
+ [&] { tmp = fuzzed_data_provider.PickValueInArray({
+ std::numeric_limits<double>::infinity(),
+ -std::numeric_limits<double>::infinity(),
+ std::numeric_limits<double>::min(),
+ -std::numeric_limits<double>::min(),
+ std::numeric_limits<double>::max(),
+ -std::numeric_limits<double>::max(),
+ std::numeric_limits<double>::lowest(),
+ -std::numeric_limits<double>::lowest(),
+ std::numeric_limits<double>::quiet_NaN(),
+ -std::numeric_limits<double>::quiet_NaN(),
+ std::numeric_limits<double>::signaling_NaN(),
+ -std::numeric_limits<double>::signaling_NaN(),
+ std::numeric_limits<double>::denorm_min(),
+ -std::numeric_limits<double>::denorm_min(),
+ }); },
+ // Anything from raw memory (also checks that DecodeDouble doesn't crash on any input)
+ [&] { tmp = DecodeDouble(fuzzed_data_provider.ConsumeIntegral<uint64_t>()); });
+ return tmp;
+ }()};
(void)memusage::DynamicUsage(d);
- assert(ser_uint64_to_double(ser_double_to_uint64(d)) == d);
- CDataStream stream(SER_NETWORK, INIT_PROTO_VERSION);
- stream << d;
- double d_deserialized;
- stream >> d_deserialized;
- assert(d == d_deserialized);
- }
-
- {
- const float f = fuzzed_data_provider.ConsumeFloatingPoint<float>();
- (void)memusage::DynamicUsage(f);
- assert(ser_uint32_to_float(ser_float_to_uint32(f)) == f);
-
- CDataStream stream(SER_NETWORK, INIT_PROTO_VERSION);
- stream << f;
- float f_deserialized;
- stream >> f_deserialized;
- assert(f == f_deserialized);
+ uint64_t encoded = EncodeDouble(d);
+ if constexpr (std::numeric_limits<double>::is_iec559) {
+ if (!std::isnan(d)) {
+ uint64_t encoded_in_memory;
+ std::copy((const unsigned char*)&d, (const unsigned char*)(&d + 1), (unsigned char*)&encoded_in_memory);
+ assert(encoded_in_memory == encoded);
+ }
+ }
+ double d_deserialized = DecodeDouble(encoded);
+ assert(std::isnan(d) == std::isnan(d_deserialized));
+ assert(std::isnan(d) || d == d_deserialized);
}
}
diff --git a/src/test/fuzz/fuzz.cpp b/src/test/fuzz/fuzz.cpp
index 1fab46ff13..a490bbfa1d 100644
--- a/src/test/fuzz/fuzz.cpp
+++ b/src/test/fuzz/fuzz.cpp
@@ -4,15 +4,49 @@
#include <test/fuzz/fuzz.h>
+#include <fs.h>
+#include <netaddress.h>
+#include <netbase.h>
#include <test/util/setup_common.h>
#include <util/check.h>
+#include <util/sock.h>
#include <cstdint>
+#include <exception>
+#include <fstream>
+#include <functional>
+#include <map>
+#include <memory>
+#include <string>
+#include <tuple>
#include <unistd.h>
#include <vector>
const std::function<void(const std::string&)> G_TEST_LOG_FUN{};
+/**
+ * A copy of the command line arguments that start with `--`.
+ * First `LLVMFuzzerInitialize()` is called, which saves the arguments to `g_args`.
+ * Later, depending on the fuzz test, `G_TEST_COMMAND_LINE_ARGUMENTS()` may be
+ * called by `BasicTestingSetup` constructor to fetch those arguments and store
+ * them in `BasicTestingSetup::m_node::args`.
+ */
+static std::vector<const char*> g_args;
+
+static void SetArgs(int argc, char** argv) {
+ for (int i = 1; i < argc; ++i) {
+ // Only take into account arguments that start with `--`. The others are for the fuzz engine:
+ // `fuzz -runs=1 fuzz_seed_corpus/address_deserialize_v2 --checkaddrman=5`
+ if (strlen(argv[i]) > 2 && argv[i][0] == '-' && argv[i][1] == '-') {
+ g_args.push_back(argv[i]);
+ }
+ }
+}
+
+const std::function<std::vector<const char*>()> G_TEST_COMMAND_LINE_ARGUMENTS = []() {
+ return g_args;
+};
+
std::map<std::string_view, std::tuple<TypeTestOneInput, TypeInitialize, TypeHidden>>& FuzzTargets()
{
static std::map<std::string_view, std::tuple<TypeTestOneInput, TypeInitialize, TypeHidden>> g_fuzz_targets;
@@ -29,13 +63,35 @@ static TypeTestOneInput* g_test_one_input{nullptr};
void initialize()
{
+ // Terminate immediately if a fuzzing harness ever tries to create a TCP socket.
+ CreateSock = [](const CService&) -> std::unique_ptr<Sock> { std::terminate(); };
+
+ // Terminate immediately if a fuzzing harness ever tries to perform a DNS lookup.
+ g_dns_lookup = [](const std::string& name, bool allow_lookup) {
+ if (allow_lookup) {
+ std::terminate();
+ }
+ return WrappedGetAddrInfo(name, false);
+ };
+
+ bool should_abort{false};
if (std::getenv("PRINT_ALL_FUZZ_TARGETS_AND_ABORT")) {
for (const auto& t : FuzzTargets()) {
if (std::get<2>(t.second)) continue;
std::cout << t.first << std::endl;
}
- Assert(false);
+ should_abort = true;
+ }
+ if (const char* out_path = std::getenv("WRITE_ALL_FUZZ_TARGETS_AND_ABORT")) {
+ std::cout << "Writing all fuzz target names to '" << out_path << "'." << std::endl;
+ std::ofstream out_stream{out_path, std::ios::binary};
+ for (const auto& t : FuzzTargets()) {
+ if (std::get<2>(t.second)) continue;
+ out_stream << t.first << std::endl;
+ }
+ should_abort = true;
}
+ Assert(!should_abort);
std::string_view fuzz_target{Assert(std::getenv("FUZZ"))};
const auto it = FuzzTargets().find(fuzz_target);
Assert(it != FuzzTargets().end());
@@ -67,6 +123,7 @@ extern "C" int LLVMFuzzerTestOneInput(const uint8_t* data, size_t size)
// This function is used by libFuzzer
extern "C" int LLVMFuzzerInitialize(int* argc, char*** argv)
{
+ SetArgs(*argc, *argv);
initialize();
return 0;
}
diff --git a/src/test/fuzz/fuzz.h b/src/test/fuzz/fuzz.h
index 2bad77bdc1..c91c33da67 100644
--- a/src/test/fuzz/fuzz.h
+++ b/src/test/fuzz/fuzz.h
@@ -11,6 +11,13 @@
#include <functional>
#include <string_view>
+/**
+ * Can be used to limit a theoretically unbounded loop. This caps the runtime
+ * to avoid timeouts or OOMs.
+ */
+#define LIMITED_WHILE(condition, limit) \
+ for (unsigned _count{limit}; (condition) && _count; --_count)
+
using FuzzBufferType = Span<const uint8_t>;
using TypeTestOneInput = std::function<void(FuzzBufferType)>;
diff --git a/src/test/fuzz/golomb_rice.cpp b/src/test/fuzz/golomb_rice.cpp
index c99bf940c7..b4bb4c6dc6 100644
--- a/src/test/fuzz/golomb_rice.cpp
+++ b/src/test/fuzz/golomb_rice.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,27 +19,13 @@
#include <vector>
namespace {
-uint64_t MapIntoRange(const uint64_t x, const uint64_t n)
-{
- const uint64_t x_hi = x >> 32;
- const uint64_t x_lo = x & 0xFFFFFFFF;
- const uint64_t n_hi = n >> 32;
- const uint64_t n_lo = n & 0xFFFFFFFF;
- const uint64_t ac = x_hi * n_hi;
- const uint64_t ad = x_hi * n_lo;
- const uint64_t bc = x_lo * n_hi;
- const uint64_t bd = x_lo * n_lo;
- const uint64_t mid34 = (bd >> 32) + (bc & 0xFFFFFFFF) + (ad & 0xFFFFFFFF);
- const uint64_t upper64 = ac + (bc >> 32) + (ad >> 32) + (mid34 >> 32);
- return upper64;
-}
uint64_t HashToRange(const std::vector<uint8_t>& element, const uint64_t f)
{
const uint64_t hash = CSipHasher(0x0706050403020100ULL, 0x0F0E0D0C0B0A0908ULL)
.Write(element.data(), element.size())
.Finalize();
- return MapIntoRange(hash, f);
+ return FastRange64(hash, f);
}
std::vector<uint64_t> BuildHashedSet(const std::unordered_set<std::vector<uint8_t>, ByteVectorHash>& elements, const uint64_t f)
@@ -82,8 +68,8 @@ FUZZ_TARGET(golomb_rice)
std::vector<uint64_t> decoded_deltas;
{
- VectorReader stream{SER_NETWORK, 0, golomb_rice_data, 0};
- BitStreamReader<VectorReader> bitreader(stream);
+ SpanReader stream{SER_NETWORK, 0, golomb_rice_data};
+ BitStreamReader<SpanReader> bitreader{stream};
const uint32_t n = static_cast<uint32_t>(ReadCompactSize(stream));
for (uint32_t i = 0; i < n; ++i) {
decoded_deltas.push_back(GolombRiceDecode(bitreader, BASIC_FILTER_P));
@@ -94,14 +80,14 @@ FUZZ_TARGET(golomb_rice)
{
const std::vector<uint8_t> random_bytes = ConsumeRandomLengthByteVector(fuzzed_data_provider, 1024);
- VectorReader stream{SER_NETWORK, 0, random_bytes, 0};
+ SpanReader stream{SER_NETWORK, 0, random_bytes};
uint32_t n;
try {
n = static_cast<uint32_t>(ReadCompactSize(stream));
} catch (const std::ios_base::failure&) {
return;
}
- BitStreamReader<VectorReader> bitreader(stream);
+ BitStreamReader<SpanReader> bitreader{stream};
for (uint32_t i = 0; i < std::min<uint32_t>(n, 1024); ++i) {
try {
(void)GolombRiceDecode(bitreader, BASIC_FILTER_P);
diff --git a/src/test/fuzz/i2p.cpp b/src/test/fuzz/i2p.cpp
new file mode 100644
index 0000000000..fb6d23aca5
--- /dev/null
+++ b/src/test/fuzz/i2p.cpp
@@ -0,0 +1,57 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <i2p.h>
+#include <netaddress.h>
+#include <netbase.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <test/util/setup_common.h>
+#include <threadinterrupt.h>
+#include <util/system.h>
+
+void initialize_i2p()
+{
+ static const auto testing_setup = MakeNoLogFileContext<>();
+}
+
+FUZZ_TARGET_INIT(i2p, initialize_i2p)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+
+ // Mock CreateSock() to create FuzzedSock.
+ auto CreateSockOrig = CreateSock;
+ CreateSock = [&fuzzed_data_provider](const CService&) {
+ return std::make_unique<FuzzedSock>(fuzzed_data_provider);
+ };
+
+ const CService sam_proxy;
+ CThreadInterrupt interrupt;
+
+ i2p::sam::Session sess{gArgs.GetDataDirNet() / "fuzzed_i2p_private_key", sam_proxy, &interrupt};
+
+ i2p::Connection conn;
+
+ if (sess.Listen(conn)) {
+ if (sess.Accept(conn)) {
+ try {
+ (void)conn.sock->RecvUntilTerminator('\n', 10ms, interrupt, i2p::sam::MAX_MSG_SIZE);
+ } catch (const std::runtime_error&) {
+ }
+ }
+ }
+
+ const CService to;
+ bool proxy_error;
+
+ if (sess.Connect(to, conn, proxy_error)) {
+ try {
+ conn.sock->SendComplete("verack\n", 10ms, interrupt);
+ } catch (const std::runtime_error&) {
+ }
+ }
+
+ CreateSock = CreateSockOrig;
+}
diff --git a/src/test/fuzz/integer.cpp b/src/test/fuzz/integer.cpp
index 5bc99ddcb9..72574612a2 100644
--- a/src/test/fuzz/integer.cpp
+++ b/src/test/fuzz/integer.cpp
@@ -1,10 +1,10 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
#include <arith_uint256.h>
#include <compressor.h>
+#include <consensus/amount.h>
#include <consensus/merkle.h>
#include <core_io.h>
#include <crypto/common.h>
@@ -16,8 +16,6 @@
#include <pow.h>
#include <protocol.h>
#include <pubkey.h>
-#include <rpc/util.h>
-#include <script/signingprovider.h>
#include <script/standard.h>
#include <serialize.h>
#include <streams.h>
@@ -25,17 +23,17 @@
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
#include <uint256.h>
+#include <univalue.h>
#include <util/check.h>
#include <util/moneystr.h>
+#include <util/overflow.h>
#include <util/strencodings.h>
#include <util/string.h>
#include <util/system.h>
-#include <util/time.h>
#include <version.h>
#include <cassert>
#include <chrono>
-#include <ctime>
#include <limits>
#include <set>
#include <vector>
@@ -82,12 +80,9 @@ FUZZ_TARGET_INIT(integer, initialize_integer)
(void)ComputeMerkleRoot(v256);
(void)CountBits(u64);
(void)DecompressAmount(u64);
- (void)FormatISO8601Date(i64);
- (void)FormatISO8601DateTime(i64);
{
- int64_t parsed_money;
- if (ParseMoney(FormatMoney(i64), parsed_money)) {
- assert(parsed_money == i64);
+ if (std::optional<CAmount> parsed = ParseMoney(FormatMoney(i64))) {
+ assert(parsed.value() == i64);
}
}
(void)GetSizeOfCompactSize(u64);
@@ -122,19 +117,14 @@ FUZZ_TARGET_INIT(integer, initialize_integer)
assert(dynamic_usage == incremental_dynamic_usage * i64s.size());
}
(void)MillisToTimeval(i64);
- const double d = ser_uint64_to_double(u64);
- assert(ser_double_to_uint64(d) == u64);
- const float f = ser_uint32_to_float(u32);
- assert(ser_float_to_uint32(f) == u32);
(void)SighashToStr(uch);
(void)SipHashUint256(u64, u64, u256);
(void)SipHashUint256Extra(u64, u64, u256, u32);
(void)ToLower(ch);
(void)ToUpper(ch);
{
- int64_t parsed_money;
- if (ParseMoney(ValueFromAmount(i64).getValStr(), parsed_money)) {
- assert(parsed_money == i64);
+ if (std::optional<CAmount> parsed = ParseMoney(ValueFromAmount(i64).getValStr())) {
+ assert(parsed.value() == i64);
}
}
if (i32 >= 0 && i32 <= 16) {
@@ -162,20 +152,6 @@ FUZZ_TARGET_INIT(integer, initialize_integer)
const CKeyID key_id{u160};
const CScriptID script_id{u160};
- // CTxDestination = CNoDestination ∪ PKHash ∪ ScriptHash ∪ WitnessV0ScriptHash ∪ WitnessV0KeyHash ∪ WitnessUnknown
- const PKHash pk_hash{u160};
- const ScriptHash script_hash{u160};
- const WitnessV0KeyHash witness_v0_key_hash{u160};
- const WitnessV0ScriptHash witness_v0_script_hash{u256};
- const std::vector<CTxDestination> destinations{pk_hash, script_hash, witness_v0_key_hash, witness_v0_script_hash};
- const SigningProvider store;
- for (const CTxDestination& destination : destinations) {
- (void)DescribeAddress(destination);
- (void)EncodeDestination(destination);
- (void)GetKeyForDestination(store, destination);
- (void)GetScriptForDestination(destination);
- (void)IsValidDestination(destination);
- }
{
CDataStream stream(SER_NETWORK, INIT_PROTO_VERSION);
@@ -230,11 +206,6 @@ FUZZ_TARGET_INIT(integer, initialize_integer)
stream >> deserialized_i8;
assert(i8 == deserialized_i8 && stream.empty());
- char deserialized_ch;
- stream << ch;
- stream >> deserialized_ch;
- assert(ch == deserialized_ch && stream.empty());
-
bool deserialized_b;
stream << b;
stream >> deserialized_b;
diff --git a/src/test/fuzz/key.cpp b/src/test/fuzz/key.cpp
index aa8f826e4a..bfea9778f4 100644
--- a/src/test/fuzz/key.cpp
+++ b/src/test/fuzz/key.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -17,7 +17,6 @@
#include <script/standard.h>
#include <streams.h>
#include <test/fuzz/fuzz.h>
-#include <util/memory.h>
#include <util/strencodings.h>
#include <cassert>
diff --git a/src/test/fuzz/key_io.cpp b/src/test/fuzz/key_io.cpp
index 665ca01fa1..32a81c2e17 100644
--- a/src/test/fuzz/key_io.cpp
+++ b/src/test/fuzz/key_io.cpp
@@ -1,12 +1,9 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chainparams.h>
#include <key_io.h>
-#include <rpc/util.h>
-#include <script/signingprovider.h>
-#include <script/standard.h>
#include <test/fuzz/fuzz.h>
#include <cassert>
@@ -39,12 +36,4 @@ FUZZ_TARGET_INIT(key_io, initialize_key_io)
if (ext_pub_key.pubkey.size() == CPubKey::COMPRESSED_SIZE) {
assert(ext_pub_key == DecodeExtPubKey(EncodeExtPubKey(ext_pub_key)));
}
-
- const CTxDestination tx_destination = DecodeDestination(random_string);
- (void)DescribeAddress(tx_destination);
- (void)GetKeyForDestination(/* store */ {}, tx_destination);
- (void)GetScriptForDestination(tx_destination);
- (void)IsValidDestination(tx_destination);
-
- (void)IsValidDestinationString(random_string);
}
diff --git a/src/test/fuzz/kitchen_sink.cpp b/src/test/fuzz/kitchen_sink.cpp
index 908e9a1c83..82f3a306c5 100644
--- a/src/test/fuzz/kitchen_sink.cpp
+++ b/src/test/fuzz/kitchen_sink.cpp
@@ -13,6 +13,7 @@
#include <array>
#include <cstdint>
+#include <optional>
#include <vector>
namespace {
@@ -46,11 +47,10 @@ FUZZ_TARGET(kitchen_sink)
const OutputType output_type = fuzzed_data_provider.PickValueInArray(OUTPUT_TYPES);
const std::string& output_type_string = FormatOutputType(output_type);
- OutputType output_type_parsed;
- const bool parsed = ParseOutputType(output_type_string, output_type_parsed);
+ const std::optional<OutputType> parsed = ParseOutputType(output_type_string);
assert(parsed);
- assert(output_type == output_type_parsed);
- (void)ParseOutputType(fuzzed_data_provider.ConsumeRandomLengthString(64), output_type_parsed);
+ assert(output_type == parsed.value());
+ (void)ParseOutputType(fuzzed_data_provider.ConsumeRandomLengthString(64));
const std::vector<uint8_t> bytes = ConsumeRandomLengthByteVector(fuzzed_data_provider);
const std::vector<bool> bits = BytesToBits(bytes);
diff --git a/src/test/fuzz/load_external_block_file.cpp b/src/test/fuzz/load_external_block_file.cpp
index dbd0c76d42..bfa977520b 100644
--- a/src/test/fuzz/load_external_block_file.cpp
+++ b/src/test/fuzz/load_external_block_file.cpp
@@ -13,9 +13,14 @@
#include <cstdint>
#include <vector>
+namespace {
+const TestingSetup* g_setup;
+} // namespace
+
void initialize_load_external_block_file()
{
static const auto testing_setup = MakeNoLogFileContext<const TestingSetup>();
+ g_setup = testing_setup.get();
}
FUZZ_TARGET_INIT(load_external_block_file, initialize_load_external_block_file)
@@ -27,5 +32,5 @@ FUZZ_TARGET_INIT(load_external_block_file, initialize_load_external_block_file)
return;
}
FlatFilePos flat_file_pos;
- ::ChainstateActive().LoadExternalBlockFile(Params(), fuzzed_block_file, fuzzed_data_provider.ConsumeBool() ? &flat_file_pos : nullptr);
+ g_setup->m_node.chainman->ActiveChainstate().LoadExternalBlockFile(fuzzed_block_file, fuzzed_data_provider.ConsumeBool() ? &flat_file_pos : nullptr);
}
diff --git a/src/test/fuzz/locale.cpp b/src/test/fuzz/locale.cpp
index 5b1acae57b..0f2985b504 100644
--- a/src/test/fuzz/locale.cpp
+++ b/src/test/fuzz/locale.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -50,8 +50,6 @@ FUZZ_TARGET(locale)
const bool parseint32_without_locale = ParseInt32(random_string, &parseint32_out_without_locale);
int64_t parseint64_out_without_locale;
const bool parseint64_without_locale = ParseInt64(random_string, &parseint64_out_without_locale);
- const int64_t atoi64_without_locale = atoi64(random_string);
- const int atoi_without_locale = atoi(random_string);
const int64_t random_int64 = fuzzed_data_provider.ConsumeIntegral<int64_t>();
const std::string tostring_without_locale = ToString(random_int64);
// The variable `random_int32` is no longer used, but the harness still needs to
@@ -77,10 +75,6 @@ FUZZ_TARGET(locale)
if (parseint64_without_locale) {
assert(parseint64_out_without_locale == parseint64_out_with_locale);
}
- const int64_t atoi64_with_locale = atoi64(random_string);
- assert(atoi64_without_locale == atoi64_with_locale);
- const int atoi_with_locale = atoi(random_string);
- assert(atoi_without_locale == atoi_with_locale);
const std::string tostring_with_locale = ToString(random_int64);
assert(tostring_without_locale == tostring_with_locale);
const std::string strprintf_int_with_locale = strprintf("%d", random_int64);
diff --git a/src/test/fuzz/merkleblock.cpp b/src/test/fuzz/merkleblock.cpp
index 1eefd4c521..6271367a9c 100644
--- a/src/test/fuzz/merkleblock.cpp
+++ b/src/test/fuzz/merkleblock.cpp
@@ -34,7 +34,7 @@ FUZZ_TARGET(merkleblock)
if (fuzzed_data_provider.ConsumeBool()) {
merkle_block = CMerkleBlock{*opt_block, bloom_filter};
} else if (fuzzed_data_provider.ConsumeBool()) {
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
txids.insert(ConsumeUInt256(fuzzed_data_provider));
}
merkle_block = CMerkleBlock{*opt_block, txids};
diff --git a/src/test/fuzz/minisketch.cpp b/src/test/fuzz/minisketch.cpp
new file mode 100644
index 0000000000..a17be73f6c
--- /dev/null
+++ b/src/test/fuzz/minisketch.cpp
@@ -0,0 +1,66 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <minisketch.h>
+#include <node/minisketchwrapper.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <util/check.h>
+
+#include <map>
+#include <numeric>
+
+using node::MakeMinisketch32;
+
+FUZZ_TARGET(minisketch)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+ const auto capacity{fuzzed_data_provider.ConsumeIntegralInRange<size_t>(1, 200)};
+ Minisketch sketch_a{Assert(MakeMinisketch32(capacity))};
+ Minisketch sketch_b{Assert(MakeMinisketch32(capacity))};
+
+ // Fill two sets and keep the difference in a map
+ std::map<uint32_t, bool> diff;
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000)
+ {
+ const auto entry{fuzzed_data_provider.ConsumeIntegralInRange<uint32_t>(1, std::numeric_limits<uint32_t>::max() - 1)};
+ const auto KeepDiff{[&] {
+ bool& mut{diff[entry]};
+ mut = !mut;
+ }};
+ CallOneOf(
+ fuzzed_data_provider,
+ [&] {
+ sketch_a.Add(entry);
+ KeepDiff();
+ },
+ [&] {
+ sketch_b.Add(entry);
+ KeepDiff();
+ },
+ [&] {
+ sketch_a.Add(entry);
+ sketch_b.Add(entry);
+ });
+ }
+ const auto num_diff{std::accumulate(diff.begin(), diff.end(), size_t{0}, [](auto n, const auto& e) { return n + e.second; })};
+
+ Minisketch sketch_ar{MakeMinisketch32(capacity)};
+ Minisketch sketch_br{MakeMinisketch32(capacity)};
+ sketch_ar.Deserialize(sketch_a.Serialize());
+ sketch_br.Deserialize(sketch_b.Serialize());
+
+ Minisketch sketch_diff{std::move(fuzzed_data_provider.ConsumeBool() ? sketch_a : sketch_ar)};
+ sketch_diff.Merge(fuzzed_data_provider.ConsumeBool() ? sketch_b : sketch_br);
+
+ if (capacity >= num_diff) {
+ const auto max_elements{fuzzed_data_provider.ConsumeIntegralInRange<size_t>(num_diff, capacity)};
+ const auto dec{*Assert(sketch_diff.Decode(max_elements))};
+ Assert(dec.size() == num_diff);
+ for (auto d : dec) {
+ Assert(diff.at(d));
+ }
+ }
+}
diff --git a/src/test/fuzz/muhash.cpp b/src/test/fuzz/muhash.cpp
index 4ea9511870..8304e6fdb8 100644
--- a/src/test/fuzz/muhash.cpp
+++ b/src/test/fuzz/muhash.cpp
@@ -12,52 +12,47 @@
FUZZ_TARGET(muhash)
{
FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
- std::vector<uint8_t> data = ConsumeRandomLengthByteVector(fuzzed_data_provider);
- std::vector<uint8_t> data2 = ConsumeRandomLengthByteVector(fuzzed_data_provider);
- if (data.empty()) {
- data.resize(fuzzed_data_provider.ConsumeIntegralInRange<size_t>(1, 4096), fuzzed_data_provider.ConsumeIntegral<uint8_t>());
- }
- if (data2.empty()) {
- data2.resize(fuzzed_data_provider.ConsumeIntegralInRange<size_t>(1, 4096), fuzzed_data_provider.ConsumeIntegral<uint8_t>());
- }
-
- data = ConsumeRandomLengthByteVector(fuzzed_data_provider);
- data2 = ConsumeRandomLengthByteVector(fuzzed_data_provider);
+ std::vector<uint8_t> data{ConsumeRandomLengthByteVector(fuzzed_data_provider)};
+ std::vector<uint8_t> data2{ConsumeRandomLengthByteVector(fuzzed_data_provider)};
MuHash3072 muhash;
- // Test that MuHash result is consistent independent of order of operations
muhash.Insert(data);
muhash.Insert(data2);
+ const std::string initial_state_hash{"dd5ad2a105c2d29495f577245c357409002329b9f4d6182c0af3dc2f462555c8"};
uint256 out;
- muhash.Finalize(out);
-
- muhash = MuHash3072();
- muhash.Insert(data2);
- muhash.Insert(data);
-
uint256 out2;
- muhash.Finalize(out2);
-
+ CallOneOf(
+ fuzzed_data_provider,
+ [&] {
+ // Test that MuHash result is consistent independent of order of operations
+ muhash.Finalize(out);
+
+ muhash = MuHash3072();
+ muhash.Insert(data2);
+ muhash.Insert(data);
+ muhash.Finalize(out2);
+ },
+ [&] {
+ // Test that multiplication with the initial state never changes the finalized result
+ muhash.Finalize(out);
+ MuHash3072 muhash3;
+ muhash3 *= muhash;
+ muhash3.Finalize(out2);
+ },
+ [&] {
+ // Test that dividing a MuHash by itself brings it back to it's initial state
+ muhash /= muhash;
+ muhash.Finalize(out);
+ out2 = uint256S(initial_state_hash);
+ },
+ [&] {
+ // Test that removing all added elements brings the object back to it's initial state
+ muhash.Remove(data);
+ muhash.Remove(data2);
+ muhash.Finalize(out);
+ out2 = uint256S(initial_state_hash);
+ });
assert(out == out2);
- MuHash3072 muhash3;
- muhash3 *= muhash;
- uint256 out3;
- muhash3.Finalize(out3);
- assert(out == out3);
-
- // Test that removing all added elements brings the object back to it's initial state
- muhash /= muhash;
- muhash.Finalize(out);
-
- MuHash3072 muhash2;
- muhash2.Finalize(out2);
-
- assert(out == out2);
-
- muhash3.Remove(data);
- muhash3.Remove(data2);
- muhash3.Finalize(out3);
- assert(out == out3);
}
diff --git a/src/test/fuzz/multiplication_overflow.cpp b/src/test/fuzz/multiplication_overflow.cpp
index 0f054529a6..fbe4d061bf 100644
--- a/src/test/fuzz/multiplication_overflow.cpp
+++ b/src/test/fuzz/multiplication_overflow.cpp
@@ -1,7 +1,11 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#if defined(HAVE_CONFIG_H)
+#include <config/bitcoin-config.h>
+#endif
+
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
@@ -10,14 +14,6 @@
#include <string>
#include <vector>
-#if defined(__has_builtin)
-#if __has_builtin(__builtin_mul_overflow)
-#define HAVE_BUILTIN_MUL_OVERFLOW
-#endif
-#elif defined(__GNUC__)
-#define HAVE_BUILTIN_MUL_OVERFLOW
-#endif
-
namespace {
template <typename T>
void TestMultiplicationOverflow(FuzzedDataProvider& fuzzed_data_provider)
diff --git a/src/test/fuzz/net.cpp b/src/test/fuzz/net.cpp
index b056f46f2e..fb11ea36ce 100644
--- a/src/test/fuzz/net.cpp
+++ b/src/test/fuzz/net.cpp
@@ -7,7 +7,6 @@
#include <net.h>
#include <net_permissions.h>
#include <netaddress.h>
-#include <optional.h>
#include <protocol.h>
#include <random.h>
#include <test/fuzz/FuzzedDataProvider.h>
@@ -15,8 +14,10 @@
#include <test/fuzz/util.h>
#include <test/util/net.h>
#include <test/util/setup_common.h>
+#include <util/asmap.h>
#include <cstdint>
+#include <optional>
#include <string>
#include <vector>
@@ -31,22 +32,15 @@ FUZZ_TARGET_INIT(net, initialize_net)
SetMockTime(ConsumeTime(fuzzed_data_provider));
CNode node{ConsumeNode(fuzzed_data_provider)};
node.SetCommonVersion(fuzzed_data_provider.ConsumeIntegral<int>());
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
node.CloseSocketDisconnect();
},
[&] {
- node.MaybeSetAddrName(fuzzed_data_provider.ConsumeRandomLengthString(32));
- },
- [&] {
- const std::vector<bool> asmap = ConsumeRandomLengthBitVector(fuzzed_data_provider);
- if (!SanityCheckASMap(asmap)) {
- return;
- }
CNodeStats stats;
- node.copyStats(stats, asmap);
+ node.CopyStats(stats);
},
[&] {
const CNode* add_ref_node = node.AddRef();
@@ -58,27 +52,6 @@ FUZZ_TARGET_INIT(net, initialize_net)
}
},
[&] {
- if (node.m_addr_known == nullptr) {
- return;
- }
- const std::optional<CAddress> addr_opt = ConsumeDeserializable<CAddress>(fuzzed_data_provider);
- if (!addr_opt) {
- return;
- }
- node.AddAddressKnown(*addr_opt);
- },
- [&] {
- if (node.m_addr_known == nullptr) {
- return;
- }
- const std::optional<CAddress> addr_opt = ConsumeDeserializable<CAddress>(fuzzed_data_provider);
- if (!addr_opt) {
- return;
- }
- FastRandomContext fast_random_context{ConsumeUInt256(fuzzed_data_provider)};
- node.PushAddress(*addr_opt, fast_random_context);
- },
- [&] {
const std::optional<CInv> inv_opt = ConsumeDeserializable<CInv>(fuzzed_data_provider);
if (!inv_opt) {
return;
@@ -103,14 +76,12 @@ FUZZ_TARGET_INIT(net, initialize_net)
}
(void)node.GetAddrLocal();
- (void)node.GetAddrName();
(void)node.GetId();
(void)node.GetLocalNonce();
(void)node.GetLocalServices();
const int ref_count = node.GetRefCount();
assert(ref_count >= 0);
(void)node.GetCommonVersion();
- (void)node.RelayAddrsWithConn();
const NetPermissionFlags net_permission_flags = ConsumeWeakEnum(fuzzed_data_provider, ALL_NET_PERMISSION_FLAGS);
(void)node.HasPermission(net_permission_flags);
diff --git a/src/test/fuzz/net_permissions.cpp b/src/test/fuzz/net_permissions.cpp
index 544a33047b..e62fe0328e 100644
--- a/src/test/fuzz/net_permissions.cpp
+++ b/src/test/fuzz/net_permissions.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -25,7 +25,7 @@ FUZZ_TARGET(net_permissions)
(void)NetPermissions::ToStrings(net_whitebind_permissions.m_flags);
(void)NetPermissions::AddFlag(net_whitebind_permissions.m_flags, net_permission_flags);
assert(NetPermissions::HasFlag(net_whitebind_permissions.m_flags, net_permission_flags));
- (void)NetPermissions::ClearFlag(net_whitebind_permissions.m_flags, net_permission_flags);
+ (void)NetPermissions::ClearFlag(net_whitebind_permissions.m_flags, NetPermissionFlags::Implicit);
(void)NetPermissions::ToStrings(net_whitebind_permissions.m_flags);
}
@@ -35,7 +35,7 @@ FUZZ_TARGET(net_permissions)
(void)NetPermissions::ToStrings(net_whitelist_permissions.m_flags);
(void)NetPermissions::AddFlag(net_whitelist_permissions.m_flags, net_permission_flags);
assert(NetPermissions::HasFlag(net_whitelist_permissions.m_flags, net_permission_flags));
- (void)NetPermissions::ClearFlag(net_whitelist_permissions.m_flags, net_permission_flags);
+ (void)NetPermissions::ClearFlag(net_whitelist_permissions.m_flags, NetPermissionFlags::Implicit);
(void)NetPermissions::ToStrings(net_whitelist_permissions.m_flags);
}
}
diff --git a/src/test/fuzz/netaddress.cpp b/src/test/fuzz/netaddress.cpp
index f9d8129ca9..6cb81901cb 100644
--- a/src/test/fuzz/netaddress.cpp
+++ b/src/test/fuzz/netaddress.cpp
@@ -54,7 +54,7 @@ FUZZ_TARGET(netaddress)
(void)net_addr.IsRFC3927();
(void)net_addr.IsRFC3964();
if (net_addr.IsRFC4193()) {
- assert(net_addr.GetNetwork() == Network::NET_ONION || net_addr.GetNetwork() == Network::NET_INTERNAL || net_addr.GetNetwork() == Network::NET_UNROUTABLE);
+ assert(net_addr.GetNetwork() == Network::NET_INTERNAL || net_addr.GetNetwork() == Network::NET_UNROUTABLE);
}
(void)net_addr.IsRFC4380();
(void)net_addr.IsRFC4843();
diff --git a/src/test/fuzz/netbase_dns_lookup.cpp b/src/test/fuzz/netbase_dns_lookup.cpp
new file mode 100644
index 0000000000..31ea31744a
--- /dev/null
+++ b/src/test/fuzz/netbase_dns_lookup.cpp
@@ -0,0 +1,71 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <netaddress.h>
+#include <netbase.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+
+#include <cstdint>
+#include <string>
+#include <vector>
+
+FUZZ_TARGET(netbase_dns_lookup)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+ const std::string name = fuzzed_data_provider.ConsumeRandomLengthString(512);
+ const unsigned int max_results = fuzzed_data_provider.ConsumeIntegral<unsigned int>();
+ const bool allow_lookup = fuzzed_data_provider.ConsumeBool();
+ const uint16_t default_port = fuzzed_data_provider.ConsumeIntegral<uint16_t>();
+
+ auto fuzzed_dns_lookup_function = [&](const std::string&, bool) {
+ std::vector<CNetAddr> resolved_addresses;
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
+ resolved_addresses.push_back(ConsumeNetAddr(fuzzed_data_provider));
+ }
+ return resolved_addresses;
+ };
+
+ {
+ std::vector<CNetAddr> resolved_addresses;
+ if (LookupHost(name, resolved_addresses, max_results, allow_lookup, fuzzed_dns_lookup_function)) {
+ for (const CNetAddr& resolved_address : resolved_addresses) {
+ assert(!resolved_address.IsInternal());
+ }
+ }
+ assert(resolved_addresses.size() <= max_results || max_results == 0);
+ }
+ {
+ CNetAddr resolved_address;
+ if (LookupHost(name, resolved_address, allow_lookup, fuzzed_dns_lookup_function)) {
+ assert(!resolved_address.IsInternal());
+ }
+ }
+ {
+ std::vector<CService> resolved_services;
+ if (Lookup(name, resolved_services, default_port, allow_lookup, max_results, fuzzed_dns_lookup_function)) {
+ for (const CNetAddr& resolved_service : resolved_services) {
+ assert(!resolved_service.IsInternal());
+ }
+ }
+ assert(resolved_services.size() <= max_results || max_results == 0);
+ }
+ {
+ CService resolved_service;
+ if (Lookup(name, resolved_service, default_port, allow_lookup, fuzzed_dns_lookup_function)) {
+ assert(!resolved_service.IsInternal());
+ }
+ }
+ {
+ CService resolved_service = LookupNumeric(name, default_port, fuzzed_dns_lookup_function);
+ assert(!resolved_service.IsInternal());
+ }
+ {
+ CSubNet resolved_subnet;
+ if (LookupSubNet(name, resolved_subnet)) {
+ assert(resolved_subnet.IsValid());
+ }
+ }
+}
diff --git a/src/test/fuzz/node_eviction.cpp b/src/test/fuzz/node_eviction.cpp
index 606ebfc151..2e90085744 100644
--- a/src/test/fuzz/node_eviction.cpp
+++ b/src/test/fuzz/node_eviction.cpp
@@ -1,9 +1,8 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <net.h>
-#include <optional.h>
#include <protocol.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
@@ -19,25 +18,26 @@ FUZZ_TARGET(node_eviction)
{
FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
std::vector<NodeEvictionCandidate> eviction_candidates;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
eviction_candidates.push_back({
- /* id */ fuzzed_data_provider.ConsumeIntegral<NodeId>(),
- /* nTimeConnected */ fuzzed_data_provider.ConsumeIntegral<int64_t>(),
- /* m_min_ping_time */ std::chrono::microseconds{fuzzed_data_provider.ConsumeIntegral<int64_t>()},
- /* nLastBlockTime */ fuzzed_data_provider.ConsumeIntegral<int64_t>(),
- /* nLastTXTime */ fuzzed_data_provider.ConsumeIntegral<int64_t>(),
- /* fRelevantServices */ fuzzed_data_provider.ConsumeBool(),
- /* fRelayTxes */ fuzzed_data_provider.ConsumeBool(),
- /* fBloomFilter */ fuzzed_data_provider.ConsumeBool(),
- /* nKeyedNetGroup */ fuzzed_data_provider.ConsumeIntegral<uint64_t>(),
- /* prefer_evict */ fuzzed_data_provider.ConsumeBool(),
- /* m_is_local */ fuzzed_data_provider.ConsumeBool(),
+ /*id=*/fuzzed_data_provider.ConsumeIntegral<NodeId>(),
+ /*m_connected=*/std::chrono::seconds{fuzzed_data_provider.ConsumeIntegral<int64_t>()},
+ /*m_min_ping_time=*/std::chrono::microseconds{fuzzed_data_provider.ConsumeIntegral<int64_t>()},
+ /*m_last_block_time=*/std::chrono::seconds{fuzzed_data_provider.ConsumeIntegral<int64_t>()},
+ /*m_last_tx_time=*/std::chrono::seconds{fuzzed_data_provider.ConsumeIntegral<int64_t>()},
+ /*fRelevantServices=*/fuzzed_data_provider.ConsumeBool(),
+ /*fRelayTxes=*/fuzzed_data_provider.ConsumeBool(),
+ /*fBloomFilter=*/fuzzed_data_provider.ConsumeBool(),
+ /*nKeyedNetGroup=*/fuzzed_data_provider.ConsumeIntegral<uint64_t>(),
+ /*prefer_evict=*/fuzzed_data_provider.ConsumeBool(),
+ /*m_is_local=*/fuzzed_data_provider.ConsumeBool(),
+ /*m_network=*/fuzzed_data_provider.PickValueInArray(ALL_NETWORKS),
});
}
// Make a copy since eviction_candidates may be in some valid but otherwise
// indeterminate state after the SelectNodeToEvict(&&) call.
const std::vector<NodeEvictionCandidate> eviction_candidates_copy = eviction_candidates;
- const Optional<NodeId> node_to_evict = SelectNodeToEvict(std::move(eviction_candidates));
+ const std::optional<NodeId> node_to_evict = SelectNodeToEvict(std::move(eviction_candidates));
if (node_to_evict) {
assert(std::any_of(eviction_candidates_copy.begin(), eviction_candidates_copy.end(), [&node_to_evict](const NodeEvictionCandidate& eviction_candidate) { return *node_to_evict == eviction_candidate.id; }));
}
diff --git a/src/test/fuzz/p2p_transport_deserializer.cpp b/src/test/fuzz/p2p_transport_deserializer.cpp
deleted file mode 100644
index 163f1b839e..0000000000
--- a/src/test/fuzz/p2p_transport_deserializer.cpp
+++ /dev/null
@@ -1,42 +0,0 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#include <chainparams.h>
-#include <net.h>
-#include <protocol.h>
-#include <test/fuzz/fuzz.h>
-
-#include <cassert>
-#include <cstdint>
-#include <limits>
-#include <vector>
-
-void initialize_p2p_transport_deserializer()
-{
- SelectParams(CBaseChainParams::REGTEST);
-}
-
-FUZZ_TARGET_INIT(p2p_transport_deserializer, initialize_p2p_transport_deserializer)
-{
- // Construct deserializer, with a dummy NodeId
- V1TransportDeserializer deserializer{Params(), (NodeId)0, SER_NETWORK, INIT_PROTO_VERSION};
- Span<const uint8_t> msg_bytes{buffer};
- while (msg_bytes.size() > 0) {
- const int handled = deserializer.Read(msg_bytes);
- if (handled < 0) {
- break;
- }
- if (deserializer.Complete()) {
- const std::chrono::microseconds m_time{std::numeric_limits<int64_t>::max()};
- uint32_t out_err_raw_size{0};
- Optional<CNetMessage> result{deserializer.GetMessage(m_time, out_err_raw_size)};
- if (result) {
- assert(result->m_command.size() <= CMessageHeader::COMMAND_SIZE);
- assert(result->m_raw_message_size <= buffer.size());
- assert(result->m_raw_message_size == CMessageHeader::HEADER_SIZE + result->m_message_size);
- assert(result->m_time == m_time);
- }
- }
- }
-}
diff --git a/src/test/fuzz/p2p_transport_serialization.cpp b/src/test/fuzz/p2p_transport_serialization.cpp
new file mode 100644
index 0000000000..88c22ca305
--- /dev/null
+++ b/src/test/fuzz/p2p_transport_serialization.cpp
@@ -0,0 +1,83 @@
+// Copyright (c) 2019-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chainparams.h>
+#include <hash.h>
+#include <net.h>
+#include <netmessagemaker.h>
+#include <protocol.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+
+#include <cassert>
+#include <cstdint>
+#include <limits>
+#include <optional>
+#include <vector>
+
+void initialize_p2p_transport_serialization()
+{
+ SelectParams(CBaseChainParams::REGTEST);
+}
+
+FUZZ_TARGET_INIT(p2p_transport_serialization, initialize_p2p_transport_serialization)
+{
+ // Construct deserializer, with a dummy NodeId
+ V1TransportDeserializer deserializer{Params(), (NodeId)0, SER_NETWORK, INIT_PROTO_VERSION};
+ V1TransportSerializer serializer{};
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+
+ auto checksum_assist = fuzzed_data_provider.ConsumeBool();
+ auto magic_bytes_assist = fuzzed_data_provider.ConsumeBool();
+ std::vector<uint8_t> mutable_msg_bytes;
+
+ auto header_bytes_remaining = CMessageHeader::HEADER_SIZE;
+ if (magic_bytes_assist) {
+ auto msg_start = Params().MessageStart();
+ for (size_t i = 0; i < CMessageHeader::MESSAGE_SIZE_SIZE; ++i) {
+ mutable_msg_bytes.push_back(msg_start[i]);
+ }
+ header_bytes_remaining -= CMessageHeader::MESSAGE_SIZE_SIZE;
+ }
+
+ if (checksum_assist) {
+ header_bytes_remaining -= CMessageHeader::CHECKSUM_SIZE;
+ }
+
+ auto header_random_bytes = fuzzed_data_provider.ConsumeBytes<uint8_t>(header_bytes_remaining);
+ mutable_msg_bytes.insert(mutable_msg_bytes.end(), header_random_bytes.begin(), header_random_bytes.end());
+ auto payload_bytes = fuzzed_data_provider.ConsumeRemainingBytes<uint8_t>();
+
+ if (checksum_assist && mutable_msg_bytes.size() == CMessageHeader::CHECKSUM_OFFSET) {
+ CHash256 hasher;
+ unsigned char hsh[32];
+ hasher.Write(payload_bytes);
+ hasher.Finalize(hsh);
+ for (size_t i = 0; i < CMessageHeader::CHECKSUM_SIZE; ++i) {
+ mutable_msg_bytes.push_back(hsh[i]);
+ }
+ }
+
+ mutable_msg_bytes.insert(mutable_msg_bytes.end(), payload_bytes.begin(), payload_bytes.end());
+ Span<const uint8_t> msg_bytes{mutable_msg_bytes};
+ while (msg_bytes.size() > 0) {
+ const int handled = deserializer.Read(msg_bytes);
+ if (handled < 0) {
+ break;
+ }
+ if (deserializer.Complete()) {
+ const std::chrono::microseconds m_time{std::numeric_limits<int64_t>::max()};
+ bool reject_message{false};
+ CNetMessage msg = deserializer.GetMessage(m_time, reject_message);
+ assert(msg.m_type.size() <= CMessageHeader::COMMAND_SIZE);
+ assert(msg.m_raw_message_size <= mutable_msg_bytes.size());
+ assert(msg.m_raw_message_size == CMessageHeader::HEADER_SIZE + msg.m_message_size);
+ assert(msg.m_time == m_time);
+
+ std::vector<unsigned char> header;
+ auto msg2 = CNetMsgMaker{msg.m_recv.GetVersion()}.Make(msg.m_type, MakeUCharSpan(msg.m_recv));
+ serializer.prepareForTransport(msg2, header);
+ }
+ }
+}
diff --git a/src/test/fuzz/parse_iso8601.cpp b/src/test/fuzz/parse_iso8601.cpp
index dcb24ac127..0fef9a9a1d 100644
--- a/src/test/fuzz/parse_iso8601.cpp
+++ b/src/test/fuzz/parse_iso8601.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -15,10 +15,11 @@ FUZZ_TARGET(parse_iso8601)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
- const int64_t random_time = fuzzed_data_provider.ConsumeIntegral<int64_t>();
+ const int64_t random_time = fuzzed_data_provider.ConsumeIntegral<int32_t>();
const std::string random_string = fuzzed_data_provider.ConsumeRemainingBytesAsString();
const std::string iso8601_datetime = FormatISO8601DateTime(random_time);
+ (void)FormatISO8601Date(random_time);
const int64_t parsed_time_1 = ParseISO8601DateTime(iso8601_datetime);
if (random_time >= 0) {
assert(parsed_time_1 >= 0);
diff --git a/src/test/fuzz/parse_numbers.cpp b/src/test/fuzz/parse_numbers.cpp
index ddd2bcfba3..2cd3146679 100644
--- a/src/test/fuzz/parse_numbers.cpp
+++ b/src/test/fuzz/parse_numbers.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,21 +12,23 @@ FUZZ_TARGET(parse_numbers)
{
const std::string random_string(buffer.begin(), buffer.end());
- CAmount amount;
- (void)ParseMoney(random_string, amount);
+ (void)ParseMoney(random_string);
- double d;
- (void)ParseDouble(random_string, &d);
+ uint8_t u8;
+ (void)ParseUInt8(random_string, &u8);
+
+ uint16_t u16;
+ (void)ParseUInt16(random_string, &u16);
int32_t i32;
(void)ParseInt32(random_string, &i32);
- (void)atoi(random_string);
+ (void)LocaleIndependentAtoi<int>(random_string);
uint32_t u32;
(void)ParseUInt32(random_string, &u32);
int64_t i64;
- (void)atoi64(random_string);
+ (void)LocaleIndependentAtoi<int64_t>(random_string);
(void)ParseFixedPoint(random_string, 3, &i64);
(void)ParseInt64(random_string, &i64);
diff --git a/src/test/fuzz/parse_univalue.cpp b/src/test/fuzz/parse_univalue.cpp
index afe382ba21..c7a76aa52f 100644
--- a/src/test/fuzz/parse_univalue.cpp
+++ b/src/test/fuzz/parse_univalue.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,6 @@
#include <rpc/client.h>
#include <rpc/util.h>
#include <test/fuzz/fuzz.h>
-#include <util/memory.h>
#include <limits>
#include <string>
diff --git a/src/test/fuzz/policy_estimator.cpp b/src/test/fuzz/policy_estimator.cpp
index 116b7a71d9..e4d95f72a0 100644
--- a/src/test/fuzz/policy_estimator.cpp
+++ b/src/test/fuzz/policy_estimator.cpp
@@ -24,7 +24,7 @@ FUZZ_TARGET_INIT(policy_estimator, initialize_policy_estimator)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
CBlockPolicyEstimator block_policy_estimator;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
CallOneOf(
fuzzed_data_provider,
[&] {
@@ -35,12 +35,12 @@ FUZZ_TARGET_INIT(policy_estimator, initialize_policy_estimator)
const CTransaction tx{*mtx};
block_policy_estimator.processTransaction(ConsumeTxMemPoolEntry(fuzzed_data_provider, tx), fuzzed_data_provider.ConsumeBool());
if (fuzzed_data_provider.ConsumeBool()) {
- (void)block_policy_estimator.removeTx(tx.GetHash(), /* inBlock */ fuzzed_data_provider.ConsumeBool());
+ (void)block_policy_estimator.removeTx(tx.GetHash(), /*inBlock=*/fuzzed_data_provider.ConsumeBool());
}
},
[&] {
std::vector<CTxMemPoolEntry> mempool_entries;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::optional<CMutableTransaction> mtx = ConsumeDeserializable<CMutableTransaction>(fuzzed_data_provider);
if (!mtx) {
break;
@@ -56,7 +56,7 @@ FUZZ_TARGET_INIT(policy_estimator, initialize_policy_estimator)
block_policy_estimator.processBlock(fuzzed_data_provider.ConsumeIntegral<unsigned int>(), ptrs);
},
[&] {
- (void)block_policy_estimator.removeTx(ConsumeUInt256(fuzzed_data_provider), /* inBlock */ fuzzed_data_provider.ConsumeBool());
+ (void)block_policy_estimator.removeTx(ConsumeUInt256(fuzzed_data_provider), /*inBlock=*/fuzzed_data_provider.ConsumeBool());
},
[&] {
block_policy_estimator.FlushUnconfirmed();
diff --git a/src/test/fuzz/pow.cpp b/src/test/fuzz/pow.cpp
index 53726ca893..0004d82d66 100644
--- a/src/test/fuzz/pow.cpp
+++ b/src/test/fuzz/pow.cpp
@@ -9,6 +9,7 @@
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
+#include <util/overflow.h>
#include <cstdint>
#include <optional>
@@ -27,14 +28,14 @@ FUZZ_TARGET_INIT(pow, initialize_pow)
std::vector<CBlockIndex> blocks;
const uint32_t fixed_time = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
const uint32_t fixed_bits = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
- while (fuzzed_data_provider.remaining_bytes() > 0) {
+ LIMITED_WHILE(fuzzed_data_provider.remaining_bytes() > 0, 10000) {
const std::optional<CBlockHeader> block_header = ConsumeDeserializable<CBlockHeader>(fuzzed_data_provider);
if (!block_header) {
continue;
}
CBlockIndex current_block{*block_header};
{
- CBlockIndex* previous_block = !blocks.empty() ? &blocks[fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, blocks.size() - 1)] : nullptr;
+ CBlockIndex* previous_block = blocks.empty() ? nullptr : &PickValue(fuzzed_data_provider, blocks);
const int current_height = (previous_block != nullptr && previous_block->nHeight != std::numeric_limits<int>::max()) ? previous_block->nHeight + 1 : 0;
if (fuzzed_data_provider.ConsumeBool()) {
current_block.pprev = previous_block;
@@ -66,9 +67,9 @@ FUZZ_TARGET_INIT(pow, initialize_pow)
}
}
{
- const CBlockIndex* to = &blocks[fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, blocks.size() - 1)];
- const CBlockIndex* from = &blocks[fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, blocks.size() - 1)];
- const CBlockIndex* tip = &blocks[fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, blocks.size() - 1)];
+ const CBlockIndex* to = &PickValue(fuzzed_data_provider, blocks);
+ const CBlockIndex* from = &PickValue(fuzzed_data_provider, blocks);
+ const CBlockIndex* tip = &PickValue(fuzzed_data_provider, blocks);
try {
(void)GetBlockProofEquivalentTime(*to, *from, *tip, consensus_params);
} catch (const uint_error&) {
diff --git a/src/test/fuzz/prevector.cpp b/src/test/fuzz/prevector.cpp
index 51956bbe9e..a48bab1ee2 100644
--- a/src/test/fuzz/prevector.cpp
+++ b/src/test/fuzz/prevector.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -209,7 +209,8 @@ FUZZ_TARGET(prevector)
FuzzedDataProvider prov(buffer.data(), buffer.size());
prevector_tester<8, int> test;
- while (prov.remaining_bytes()) {
+ LIMITED_WHILE(prov.remaining_bytes(), 3000)
+ {
switch (prov.ConsumeIntegralInRange<int>(0, 13 + 3 * (test.size() > 0))) {
case 0:
test.insert(prov.ConsumeIntegralInRange<size_t>(0, test.size()), prov.ConsumeIntegral<int>());
diff --git a/src/test/fuzz/process_message.cpp b/src/test/fuzz/process_message.cpp
index 0289d49ccc..1763cd8af3 100644
--- a/src/test/fuzz/process_message.cpp
+++ b/src/test/fuzz/process_message.cpp
@@ -19,7 +19,6 @@
#include <test/util/setup_common.h>
#include <test/util/validation.h>
#include <txorphanage.h>
-#include <util/memory.h>
#include <validationinterface.h>
#include <version.h>
@@ -69,8 +68,8 @@ void fuzz_target(FuzzBufferType buffer, const std::string& LIMIT_TO_MESSAGE_TYPE
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
- ConnmanTestMsg& connman = *(ConnmanTestMsg*)g_setup->m_node.connman.get();
- TestChainState& chainstate = *(TestChainState*)&g_setup->m_node.chainman->ActiveChainstate();
+ ConnmanTestMsg& connman = *static_cast<ConnmanTestMsg*>(g_setup->m_node.connman.get());
+ TestChainState& chainstate = *static_cast<TestChainState*>(&g_setup->m_node.chainman->ActiveChainstate());
SetMockTime(1610000000); // any time to successfully reset ibd
chainstate.ResetIbd();
@@ -80,11 +79,9 @@ void fuzz_target(FuzzBufferType buffer, const std::string& LIMIT_TO_MESSAGE_TYPE
}
CNode& p2p_node = *ConsumeNodeAsUniquePtr(fuzzed_data_provider).release();
- const bool successfully_connected{fuzzed_data_provider.ConsumeBool()};
- p2p_node.fSuccessfullyConnected = successfully_connected;
connman.AddTestNode(p2p_node);
g_setup->m_node.peerman->InitializeNode(&p2p_node);
- FillNode(fuzzed_data_provider, p2p_node, /* init_version */ successfully_connected);
+ FillNode(fuzzed_data_provider, connman, *g_setup->m_node.peerman, p2p_node);
const auto mock_time = ConsumeTime(fuzzed_data_provider);
SetMockTime(mock_time);
@@ -101,7 +98,6 @@ void fuzz_target(FuzzBufferType buffer, const std::string& LIMIT_TO_MESSAGE_TYPE
g_setup->m_node.peerman->SendMessages(&p2p_node);
}
SyncWithValidationInterfaceQueue();
- LOCK2(::cs_main, g_cs_orphans); // See init.cpp for rationale for implicit locking order requirement
g_setup->m_node.connman->StopNodes();
}
diff --git a/src/test/fuzz/process_messages.cpp b/src/test/fuzz/process_messages.cpp
index 617a71ea60..e1c11e1afd 100644
--- a/src/test/fuzz/process_messages.cpp
+++ b/src/test/fuzz/process_messages.cpp
@@ -14,7 +14,6 @@
#include <test/util/setup_common.h>
#include <test/util/validation.h>
#include <txorphanage.h>
-#include <util/memory.h>
#include <validation.h>
#include <validationinterface.h>
@@ -36,8 +35,8 @@ FUZZ_TARGET_INIT(process_messages, initialize_process_messages)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
- ConnmanTestMsg& connman = *(ConnmanTestMsg*)g_setup->m_node.connman.get();
- TestChainState& chainstate = *(TestChainState*)&g_setup->m_node.chainman->ActiveChainstate();
+ ConnmanTestMsg& connman = *static_cast<ConnmanTestMsg*>(g_setup->m_node.connman.get());
+ TestChainState& chainstate = *static_cast<TestChainState*>(&g_setup->m_node.chainman->ActiveChainstate());
SetMockTime(1610000000); // any time to successfully reset ibd
chainstate.ResetIbd();
@@ -47,16 +46,13 @@ FUZZ_TARGET_INIT(process_messages, initialize_process_messages)
peers.push_back(ConsumeNodeAsUniquePtr(fuzzed_data_provider, i).release());
CNode& p2p_node = *peers.back();
- const bool successfully_connected{fuzzed_data_provider.ConsumeBool()};
- p2p_node.fSuccessfullyConnected = successfully_connected;
- p2p_node.fPauseSend = false;
g_setup->m_node.peerman->InitializeNode(&p2p_node);
- FillNode(fuzzed_data_provider, p2p_node, /* init_version */ successfully_connected);
+ FillNode(fuzzed_data_provider, connman, *g_setup->m_node.peerman, p2p_node);
connman.AddTestNode(p2p_node);
}
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::string random_message_type{fuzzed_data_provider.ConsumeBytesAsString(CMessageHeader::COMMAND_SIZE).c_str()};
const auto mock_time = ConsumeTime(fuzzed_data_provider);
@@ -66,7 +62,7 @@ FUZZ_TARGET_INIT(process_messages, initialize_process_messages)
net_msg.m_type = random_message_type;
net_msg.data = ConsumeRandomLengthByteVector(fuzzed_data_provider);
- CNode& random_node = *peers.at(fuzzed_data_provider.ConsumeIntegralInRange<int>(0, peers.size() - 1));
+ CNode& random_node = *PickValue(fuzzed_data_provider, peers);
(void)connman.ReceiveMsgFrom(random_node, net_msg);
random_node.fPauseSend = false;
@@ -81,6 +77,5 @@ FUZZ_TARGET_INIT(process_messages, initialize_process_messages)
}
}
SyncWithValidationInterfaceQueue();
- LOCK2(::cs_main, g_cs_orphans); // See init.cpp for rationale for implicit locking order requirement
g_setup->m_node.connman->StopNodes();
}
diff --git a/src/test/fuzz/psbt.cpp b/src/test/fuzz/psbt.cpp
index 0b4588c4ce..669688a80d 100644
--- a/src/test/fuzz/psbt.cpp
+++ b/src/test/fuzz/psbt.cpp
@@ -1,22 +1,27 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <node/psbt.h>
-#include <optional.h>
#include <psbt.h>
#include <pubkey.h>
#include <script/script.h>
#include <streams.h>
-#include <util/memory.h>
+#include <util/check.h>
#include <version.h>
#include <cstdint>
+#include <optional>
#include <string>
#include <vector>
+using node::AnalyzePSBT;
+using node::PSBTAnalysis;
+using node::PSBTInputAnalysis;
+
void initialize_psbt()
{
static const ECCVerifyHandle verify_handle;
@@ -24,10 +29,10 @@ void initialize_psbt()
FUZZ_TARGET_INIT(psbt, initialize_psbt)
{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
PartiallySignedTransaction psbt_mut;
- const std::string raw_psbt{buffer.begin(), buffer.end()};
std::string error;
- if (!DecodeRawPSBT(psbt_mut, raw_psbt, error)) {
+ if (!DecodeRawPSBT(psbt_mut, fuzzed_data_provider.ConsumeRandomLengthString(), error)) {
return;
}
const PartiallySignedTransaction psbt = psbt_mut;
@@ -40,7 +45,7 @@ FUZZ_TARGET_INIT(psbt, initialize_psbt)
(void)psbt.IsNull();
- Optional<CMutableTransaction> tx = psbt.tx;
+ std::optional<CMutableTransaction> tx = psbt.tx;
if (tx) {
const CMutableTransaction& mtx = *tx;
const PartiallySignedTransaction psbt_from_tx{mtx};
@@ -50,6 +55,7 @@ FUZZ_TARGET_INIT(psbt, initialize_psbt)
(void)PSBTInputSigned(input);
(void)input.IsNull();
}
+ (void)CountPSBTUnsignedInputs(psbt);
for (const PSBTOutput& output : psbt.outputs) {
(void)output.IsNull();
@@ -72,6 +78,20 @@ FUZZ_TARGET_INIT(psbt, initialize_psbt)
const PartiallySignedTransaction psbt_from_tx{result};
}
+ PartiallySignedTransaction psbt_merge;
+ if (!DecodeRawPSBT(psbt_merge, fuzzed_data_provider.ConsumeRandomLengthString(), error)) {
+ psbt_merge = psbt;
+ }
+ psbt_mut = psbt;
+ (void)psbt_mut.Merge(psbt_merge);
psbt_mut = psbt;
- (void)psbt_mut.Merge(psbt);
+ (void)CombinePSBTs(psbt_mut, {psbt_mut, psbt_merge});
+ psbt_mut = psbt;
+ for (unsigned int i = 0; i < psbt_merge.tx->vin.size(); ++i) {
+ (void)psbt_mut.AddInput(psbt_merge.tx->vin[i], psbt_merge.inputs[i]);
+ }
+ for (unsigned int i = 0; i < psbt_merge.tx->vout.size(); ++i) {
+ Assert(psbt_mut.AddOutput(psbt_merge.tx->vout[i], psbt_merge.outputs[i]));
+ }
+ psbt_mut.unknown.insert(psbt_merge.unknown.begin(), psbt_merge.unknown.end());
}
diff --git a/src/test/fuzz/rbf.cpp b/src/test/fuzz/rbf.cpp
index 26c89a70c3..8dcaa609b5 100644
--- a/src/test/fuzz/rbf.cpp
+++ b/src/test/fuzz/rbf.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -24,7 +24,7 @@ FUZZ_TARGET(rbf)
return;
}
CTxMemPool pool;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::optional<CMutableTransaction> another_mtx = ConsumeDeserializable<CMutableTransaction>(fuzzed_data_provider);
if (!another_mtx) {
break;
diff --git a/src/test/fuzz/rolling_bloom_filter.cpp b/src/test/fuzz/rolling_bloom_filter.cpp
index 07059cce76..9c18ad49cb 100644
--- a/src/test/fuzz/rolling_bloom_filter.cpp
+++ b/src/test/fuzz/rolling_bloom_filter.cpp
@@ -2,7 +2,7 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <bloom.h>
+#include <common/bloom.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
@@ -21,7 +21,8 @@ FUZZ_TARGET(rolling_bloom_filter)
CRollingBloomFilter rolling_bloom_filter{
fuzzed_data_provider.ConsumeIntegralInRange<unsigned int>(1, 1000),
0.999 / fuzzed_data_provider.ConsumeIntegralInRange<unsigned int>(1, std::numeric_limits<unsigned int>::max())};
- while (fuzzed_data_provider.remaining_bytes() > 0) {
+ LIMITED_WHILE(fuzzed_data_provider.remaining_bytes() > 0, 3000)
+ {
CallOneOf(
fuzzed_data_provider,
[&] {
@@ -32,13 +33,10 @@ FUZZ_TARGET(rolling_bloom_filter)
assert(present);
},
[&] {
- const std::optional<uint256> u256 = ConsumeDeserializable<uint256>(fuzzed_data_provider);
- if (!u256) {
- return;
- }
- (void)rolling_bloom_filter.contains(*u256);
- rolling_bloom_filter.insert(*u256);
- const bool present = rolling_bloom_filter.contains(*u256);
+ const uint256 u256{ConsumeUInt256(fuzzed_data_provider)};
+ (void)rolling_bloom_filter.contains(u256);
+ rolling_bloom_filter.insert(u256);
+ const bool present = rolling_bloom_filter.contains(u256);
assert(present);
},
[&] {
diff --git a/src/test/fuzz/rpc.cpp b/src/test/fuzz/rpc.cpp
new file mode 100644
index 0000000000..03a84b697d
--- /dev/null
+++ b/src/test/fuzz/rpc.cpp
@@ -0,0 +1,371 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <base58.h>
+#include <core_io.h>
+#include <key.h>
+#include <key_io.h>
+#include <node/context.h>
+#include <primitives/block.h>
+#include <primitives/transaction.h>
+#include <psbt.h>
+#include <rpc/blockchain.h>
+#include <rpc/client.h>
+#include <rpc/request.h>
+#include <rpc/server.h>
+#include <rpc/util.h>
+#include <span.h>
+#include <streams.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <test/util/setup_common.h>
+#include <tinyformat.h>
+#include <univalue.h>
+#include <util/strencodings.h>
+#include <util/string.h>
+#include <util/time.h>
+
+#include <cstdint>
+#include <iostream>
+#include <memory>
+#include <optional>
+#include <stdexcept>
+#include <string>
+#include <vector>
+
+namespace {
+struct RPCFuzzTestingSetup : public TestingSetup {
+ RPCFuzzTestingSetup(const std::string& chain_name, const std::vector<const char*>& extra_args) : TestingSetup{chain_name, extra_args}
+ {
+ }
+
+ void CallRPC(const std::string& rpc_method, const std::vector<std::string>& arguments)
+ {
+ JSONRPCRequest request;
+ request.context = &m_node;
+ request.strMethod = rpc_method;
+ try {
+ request.params = RPCConvertValues(rpc_method, arguments);
+ } catch (const std::runtime_error&) {
+ return;
+ }
+ tableRPC.execute(request);
+ }
+
+ std::vector<std::string> GetRPCCommands() const
+ {
+ return tableRPC.listCommands();
+ }
+};
+
+RPCFuzzTestingSetup* rpc_testing_setup = nullptr;
+std::string g_limit_to_rpc_command;
+
+// RPC commands which are not appropriate for fuzzing: such as RPC commands
+// reading or writing to a filename passed as an RPC parameter, RPC commands
+// resulting in network activity, etc.
+const std::vector<std::string> RPC_COMMANDS_NOT_SAFE_FOR_FUZZING{
+ "addconnection", // avoid DNS lookups
+ "addnode", // avoid DNS lookups
+ "addpeeraddress", // avoid DNS lookups
+ "analyzepsbt", // avoid signed integer overflow in CFeeRate::GetFee(unsigned long) (https://github.com/bitcoin/bitcoin/issues/20607)
+ "dumptxoutset", // avoid writing to disk
+ "dumpwallet", // avoid writing to disk
+ "echoipc", // avoid assertion failure (Assertion `"EnsureAnyNodeContext(request.context).init" && check' failed.)
+ "generatetoaddress", // avoid prohibitively slow execution (when `num_blocks` is large)
+ "generatetodescriptor", // avoid prohibitively slow execution (when `nblocks` is large)
+ "gettxoutproof", // avoid prohibitively slow execution
+ "importwallet", // avoid reading from disk
+ "loadwallet", // avoid reading from disk
+ "prioritisetransaction", // avoid signed integer overflow in CTxMemPool::PrioritiseTransaction(uint256 const&, long const&) (https://github.com/bitcoin/bitcoin/issues/20626)
+ "savemempool", // disabled as a precautionary measure: may take a file path argument in the future
+ "setban", // avoid DNS lookups
+ "stop", // avoid shutdown state
+};
+
+// RPC commands which are safe for fuzzing.
+const std::vector<std::string> RPC_COMMANDS_SAFE_FOR_FUZZING{
+ "clearbanned",
+ "combinepsbt",
+ "combinerawtransaction",
+ "converttopsbt",
+ "createmultisig",
+ "createpsbt",
+ "createrawtransaction",
+ "decodepsbt",
+ "decoderawtransaction",
+ "decodescript",
+ "deriveaddresses",
+ "disconnectnode",
+ "echo",
+ "echojson",
+ "estimaterawfee",
+ "estimatesmartfee",
+ "finalizepsbt",
+ "generate",
+ "generateblock",
+ "getaddednodeinfo",
+ "getbestblockhash",
+ "getblock",
+ "getblockchaininfo",
+ "getblockcount",
+ "getblockfilter",
+ "getblockhash",
+ "getblockheader",
+ "getblockfrompeer", // when no peers are connected, no p2p message is sent
+ "getblockstats",
+ "getblocktemplate",
+ "getchaintips",
+ "getchaintxstats",
+ "getconnectioncount",
+ "getdeploymentinfo",
+ "getdescriptorinfo",
+ "getdifficulty",
+ "getindexinfo",
+ "getmemoryinfo",
+ "getmempoolancestors",
+ "getmempooldescendants",
+ "getmempoolentry",
+ "getmempoolinfo",
+ "getmininginfo",
+ "getnettotals",
+ "getnetworkhashps",
+ "getnetworkinfo",
+ "getnodeaddresses",
+ "getpeerinfo",
+ "getrawmempool",
+ "getrawtransaction",
+ "getrpcinfo",
+ "gettxout",
+ "gettxoutsetinfo",
+ "help",
+ "invalidateblock",
+ "joinpsbts",
+ "listbanned",
+ "logging",
+ "mockscheduler",
+ "ping",
+ "preciousblock",
+ "pruneblockchain",
+ "reconsiderblock",
+ "scantxoutset",
+ "sendrawtransaction",
+ "setmocktime",
+ "setnetworkactive",
+ "signmessagewithprivkey",
+ "signrawtransactionwithkey",
+ "submitblock",
+ "submitheader",
+ "syncwithvalidationinterfacequeue",
+ "testmempoolaccept",
+ "uptime",
+ "utxoupdatepsbt",
+ "validateaddress",
+ "verifychain",
+ "verifymessage",
+ "verifytxoutproof",
+ "waitforblock",
+ "waitforblockheight",
+ "waitfornewblock",
+};
+
+std::string ConsumeScalarRPCArgument(FuzzedDataProvider& fuzzed_data_provider)
+{
+ const size_t max_string_length = 4096;
+ const size_t max_base58_bytes_length{64};
+ std::string r;
+ CallOneOf(
+ fuzzed_data_provider,
+ [&] {
+ // string argument
+ r = fuzzed_data_provider.ConsumeRandomLengthString(max_string_length);
+ },
+ [&] {
+ // base64 argument
+ r = EncodeBase64(fuzzed_data_provider.ConsumeRandomLengthString(max_string_length));
+ },
+ [&] {
+ // hex argument
+ r = HexStr(fuzzed_data_provider.ConsumeRandomLengthString(max_string_length));
+ },
+ [&] {
+ // bool argument
+ r = fuzzed_data_provider.ConsumeBool() ? "true" : "false";
+ },
+ [&] {
+ // range argument
+ r = "[" + ToString(fuzzed_data_provider.ConsumeIntegral<int64_t>()) + "," + ToString(fuzzed_data_provider.ConsumeIntegral<int64_t>()) + "]";
+ },
+ [&] {
+ // integral argument (int64_t)
+ r = ToString(fuzzed_data_provider.ConsumeIntegral<int64_t>());
+ },
+ [&] {
+ // integral argument (uint64_t)
+ r = ToString(fuzzed_data_provider.ConsumeIntegral<uint64_t>());
+ },
+ [&] {
+ // floating point argument
+ r = strprintf("%f", fuzzed_data_provider.ConsumeFloatingPoint<double>());
+ },
+ [&] {
+ // tx destination argument
+ r = EncodeDestination(ConsumeTxDestination(fuzzed_data_provider));
+ },
+ [&] {
+ // uint160 argument
+ r = ConsumeUInt160(fuzzed_data_provider).ToString();
+ },
+ [&] {
+ // uint256 argument
+ r = ConsumeUInt256(fuzzed_data_provider).ToString();
+ },
+ [&] {
+ // base32 argument
+ r = EncodeBase32(fuzzed_data_provider.ConsumeRandomLengthString(max_string_length));
+ },
+ [&] {
+ // base58 argument
+ r = EncodeBase58(MakeUCharSpan(fuzzed_data_provider.ConsumeRandomLengthString(max_base58_bytes_length)));
+ },
+ [&] {
+ // base58 argument with checksum
+ r = EncodeBase58Check(MakeUCharSpan(fuzzed_data_provider.ConsumeRandomLengthString(max_base58_bytes_length)));
+ },
+ [&] {
+ // hex encoded block
+ std::optional<CBlock> opt_block = ConsumeDeserializable<CBlock>(fuzzed_data_provider);
+ if (!opt_block) {
+ return;
+ }
+ CDataStream data_stream{SER_NETWORK, PROTOCOL_VERSION};
+ data_stream << *opt_block;
+ r = HexStr(data_stream);
+ },
+ [&] {
+ // hex encoded block header
+ std::optional<CBlockHeader> opt_block_header = ConsumeDeserializable<CBlockHeader>(fuzzed_data_provider);
+ if (!opt_block_header) {
+ return;
+ }
+ CDataStream data_stream{SER_NETWORK, PROTOCOL_VERSION};
+ data_stream << *opt_block_header;
+ r = HexStr(data_stream);
+ },
+ [&] {
+ // hex encoded tx
+ std::optional<CMutableTransaction> opt_tx = ConsumeDeserializable<CMutableTransaction>(fuzzed_data_provider);
+ if (!opt_tx) {
+ return;
+ }
+ CDataStream data_stream{SER_NETWORK, fuzzed_data_provider.ConsumeBool() ? PROTOCOL_VERSION : (PROTOCOL_VERSION | SERIALIZE_TRANSACTION_NO_WITNESS)};
+ data_stream << *opt_tx;
+ r = HexStr(data_stream);
+ },
+ [&] {
+ // base64 encoded psbt
+ std::optional<PartiallySignedTransaction> opt_psbt = ConsumeDeserializable<PartiallySignedTransaction>(fuzzed_data_provider);
+ if (!opt_psbt) {
+ return;
+ }
+ CDataStream data_stream{SER_NETWORK, PROTOCOL_VERSION};
+ data_stream << *opt_psbt;
+ r = EncodeBase64(data_stream);
+ },
+ [&] {
+ // base58 encoded key
+ const std::vector<uint8_t> random_bytes = fuzzed_data_provider.ConsumeBytes<uint8_t>(32);
+ CKey key;
+ key.Set(random_bytes.begin(), random_bytes.end(), fuzzed_data_provider.ConsumeBool());
+ if (!key.IsValid()) {
+ return;
+ }
+ r = EncodeSecret(key);
+ },
+ [&] {
+ // hex encoded pubkey
+ const std::vector<uint8_t> random_bytes = fuzzed_data_provider.ConsumeBytes<uint8_t>(32);
+ CKey key;
+ key.Set(random_bytes.begin(), random_bytes.end(), fuzzed_data_provider.ConsumeBool());
+ if (!key.IsValid()) {
+ return;
+ }
+ r = HexStr(key.GetPubKey());
+ });
+ return r;
+}
+
+std::string ConsumeArrayRPCArgument(FuzzedDataProvider& fuzzed_data_provider)
+{
+ std::vector<std::string> scalar_arguments;
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 100) {
+ scalar_arguments.push_back(ConsumeScalarRPCArgument(fuzzed_data_provider));
+ }
+ return "[\"" + Join(scalar_arguments, "\",\"") + "\"]";
+}
+
+std::string ConsumeRPCArgument(FuzzedDataProvider& fuzzed_data_provider)
+{
+ return fuzzed_data_provider.ConsumeBool() ? ConsumeScalarRPCArgument(fuzzed_data_provider) : ConsumeArrayRPCArgument(fuzzed_data_provider);
+}
+
+RPCFuzzTestingSetup* InitializeRPCFuzzTestingSetup()
+{
+ static const auto setup = MakeNoLogFileContext<RPCFuzzTestingSetup>();
+ SetRPCWarmupFinished();
+ return setup.get();
+}
+}; // namespace
+
+void initialize_rpc()
+{
+ rpc_testing_setup = InitializeRPCFuzzTestingSetup();
+ const std::vector<std::string> supported_rpc_commands = rpc_testing_setup->GetRPCCommands();
+ for (const std::string& rpc_command : supported_rpc_commands) {
+ const bool safe_for_fuzzing = std::find(RPC_COMMANDS_SAFE_FOR_FUZZING.begin(), RPC_COMMANDS_SAFE_FOR_FUZZING.end(), rpc_command) != RPC_COMMANDS_SAFE_FOR_FUZZING.end();
+ const bool not_safe_for_fuzzing = std::find(RPC_COMMANDS_NOT_SAFE_FOR_FUZZING.begin(), RPC_COMMANDS_NOT_SAFE_FOR_FUZZING.end(), rpc_command) != RPC_COMMANDS_NOT_SAFE_FOR_FUZZING.end();
+ if (!(safe_for_fuzzing || not_safe_for_fuzzing)) {
+ std::cerr << "Error: RPC command \"" << rpc_command << "\" not found in RPC_COMMANDS_SAFE_FOR_FUZZING or RPC_COMMANDS_NOT_SAFE_FOR_FUZZING. Please update " << __FILE__ << ".\n";
+ std::terminate();
+ }
+ if (safe_for_fuzzing && not_safe_for_fuzzing) {
+ std::cerr << "Error: RPC command \"" << rpc_command << "\" found in *both* RPC_COMMANDS_SAFE_FOR_FUZZING and RPC_COMMANDS_NOT_SAFE_FOR_FUZZING. Please update " << __FILE__ << ".\n";
+ std::terminate();
+ }
+ }
+ const char* limit_to_rpc_command_env = std::getenv("LIMIT_TO_RPC_COMMAND");
+ if (limit_to_rpc_command_env != nullptr) {
+ g_limit_to_rpc_command = std::string{limit_to_rpc_command_env};
+ }
+}
+
+FUZZ_TARGET_INIT(rpc, initialize_rpc)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+ SetMockTime(ConsumeTime(fuzzed_data_provider));
+ const std::string rpc_command = fuzzed_data_provider.ConsumeRandomLengthString(64);
+ if (!g_limit_to_rpc_command.empty() && rpc_command != g_limit_to_rpc_command) {
+ return;
+ }
+ const bool safe_for_fuzzing = std::find(RPC_COMMANDS_SAFE_FOR_FUZZING.begin(), RPC_COMMANDS_SAFE_FOR_FUZZING.end(), rpc_command) != RPC_COMMANDS_SAFE_FOR_FUZZING.end();
+ if (!safe_for_fuzzing) {
+ return;
+ }
+ std::vector<std::string> arguments;
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 100) {
+ arguments.push_back(ConsumeRPCArgument(fuzzed_data_provider));
+ }
+ try {
+ rpc_testing_setup->CallRPC(rpc_command, arguments);
+ } catch (const UniValue& json_rpc_error) {
+ const std::string error_msg{find_value(json_rpc_error, "message").get_str()};
+ // Once c++20 is allowed, starts_with can be used.
+ // if (error_msg.starts_with("Internal bug detected")) {
+ if (0 == error_msg.rfind("Internal bug detected", 0)) {
+ // Only allow the intentional internal bug
+ assert(error_msg.find("trigger_internal_bug") != std::string::npos);
+ }
+ }
+}
diff --git a/src/test/fuzz/script.cpp b/src/test/fuzz/script.cpp
index 193862e847..fdcd0da37d 100644
--- a/src/test/fuzz/script.cpp
+++ b/src/test/fuzz/script.cpp
@@ -6,8 +6,10 @@
#include <compressor.h>
#include <core_io.h>
#include <core_memusage.h>
+#include <key_io.h>
#include <policy/policy.h>
#include <pubkey.h>
+#include <rpc/util.h>
#include <script/descriptor.h>
#include <script/interpreter.h>
#include <script/script.h>
@@ -20,7 +22,6 @@
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
#include <univalue.h>
-#include <util/memory.h>
#include <algorithm>
#include <cassert>
@@ -40,11 +41,9 @@ void initialize_script()
FUZZ_TARGET_INIT(script, initialize_script)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
- const std::optional<CScript> script_opt = ConsumeDeserializable<CScript>(fuzzed_data_provider);
- if (!script_opt) return;
- const CScript script{*script_opt};
+ const CScript script{ConsumeScript(fuzzed_data_provider)};
- std::vector<unsigned char> compressed;
+ CompressedScript compressed;
if (CompressScript(script, compressed)) {
const unsigned int size = compressed[0];
compressed.erase(compressed.begin());
@@ -55,21 +54,6 @@ FUZZ_TARGET_INIT(script, initialize_script)
assert(script == decompressed_script);
}
- CTxDestination address;
- (void)ExtractDestination(script, address);
-
- TxoutType type_ret;
- std::vector<CTxDestination> addresses;
- int required_ret;
- (void)ExtractDestinations(script, type_ret, addresses, required_ret);
-
- const FlatSigningProvider signing_provider;
- (void)InferDescriptor(script, signing_provider);
-
- (void)IsSegWitOutput(signing_provider, script);
-
- (void)IsSolvable(signing_provider, script);
-
TxoutType which_type;
bool is_standard_ret = IsStandard(script, which_type);
if (!is_standard_ret) {
@@ -88,6 +72,25 @@ FUZZ_TARGET_INIT(script, initialize_script)
which_type == TxoutType::NONSTANDARD);
}
+ CTxDestination address;
+ bool extract_destination_ret = ExtractDestination(script, address);
+ if (!extract_destination_ret) {
+ assert(which_type == TxoutType::PUBKEY ||
+ which_type == TxoutType::NONSTANDARD ||
+ which_type == TxoutType::NULL_DATA ||
+ which_type == TxoutType::MULTISIG);
+ }
+ if (which_type == TxoutType::NONSTANDARD ||
+ which_type == TxoutType::NULL_DATA ||
+ which_type == TxoutType::MULTISIG) {
+ assert(!extract_destination_ret);
+ }
+
+ const FlatSigningProvider signing_provider;
+ (void)InferDescriptor(script, signing_provider);
+ (void)IsSegWitOutput(signing_provider, script);
+ (void)IsSolvable(signing_provider, script);
+
(void)RecursiveDynamicUsage(script);
std::vector<std::vector<unsigned char>> solutions;
@@ -99,25 +102,14 @@ FUZZ_TARGET_INIT(script, initialize_script)
(void)script.IsPushOnly();
(void)script.GetSigOpCount(/* fAccurate= */ false);
- (void)FormatScript(script);
- (void)ScriptToAsmStr(script, false);
- (void)ScriptToAsmStr(script, true);
-
- UniValue o1(UniValue::VOBJ);
- ScriptPubKeyToUniv(script, o1, true);
- UniValue o2(UniValue::VOBJ);
- ScriptPubKeyToUniv(script, o2, false);
- UniValue o3(UniValue::VOBJ);
- ScriptToUniv(script, o3, true);
- UniValue o4(UniValue::VOBJ);
- ScriptToUniv(script, o4, false);
-
{
const std::vector<uint8_t> bytes = ConsumeRandomLengthByteVector(fuzzed_data_provider);
+ CompressedScript compressed_script;
+ compressed_script.assign(bytes.begin(), bytes.end());
// DecompressScript(..., ..., bytes) is not guaranteed to be defined if the bytes vector is too short
- if (bytes.size() >= 32) {
+ if (compressed_script.size() >= 32) {
CScript decompressed_script;
- DecompressScript(decompressed_script, fuzzed_data_provider.ConsumeIntegral<unsigned int>(), bytes);
+ DecompressScript(decompressed_script, fuzzed_data_provider.ConsumeIntegral<unsigned int>(), compressed_script);
}
}
@@ -153,26 +145,26 @@ FUZZ_TARGET_INIT(script, initialize_script)
}
{
- WitnessUnknown witness_unknown_1{};
- witness_unknown_1.version = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
- const std::vector<uint8_t> witness_unknown_program_1 = fuzzed_data_provider.ConsumeBytes<uint8_t>(40);
- witness_unknown_1.length = witness_unknown_program_1.size();
- std::copy(witness_unknown_program_1.begin(), witness_unknown_program_1.end(), witness_unknown_1.program);
-
- WitnessUnknown witness_unknown_2{};
- witness_unknown_2.version = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
- const std::vector<uint8_t> witness_unknown_program_2 = fuzzed_data_provider.ConsumeBytes<uint8_t>(40);
- witness_unknown_2.length = witness_unknown_program_2.size();
- std::copy(witness_unknown_program_2.begin(), witness_unknown_program_2.end(), witness_unknown_2.program);
-
- (void)(witness_unknown_1 == witness_unknown_2);
- (void)(witness_unknown_1 < witness_unknown_2);
- }
+ const CTxDestination tx_destination_1{
+ fuzzed_data_provider.ConsumeBool() ?
+ DecodeDestination(fuzzed_data_provider.ConsumeRandomLengthString()) :
+ ConsumeTxDestination(fuzzed_data_provider)};
+ const CTxDestination tx_destination_2{ConsumeTxDestination(fuzzed_data_provider)};
+ const std::string encoded_dest{EncodeDestination(tx_destination_1)};
+ const UniValue json_dest{DescribeAddress(tx_destination_1)};
+ Assert(tx_destination_1 == DecodeDestination(encoded_dest));
+ (void)GetKeyForDestination(/*store=*/{}, tx_destination_1);
+ const CScript dest{GetScriptForDestination(tx_destination_1)};
+ const bool valid{IsValidDestination(tx_destination_1)};
+ Assert(dest.empty() != valid);
+
+ Assert(valid == IsValidDestinationString(encoded_dest));
- {
- const CTxDestination tx_destination_1 = ConsumeTxDestination(fuzzed_data_provider);
- const CTxDestination tx_destination_2 = ConsumeTxDestination(fuzzed_data_provider);
- (void)(tx_destination_1 == tx_destination_2);
(void)(tx_destination_1 < tx_destination_2);
+ if (tx_destination_1 == tx_destination_2) {
+ Assert(encoded_dest == EncodeDestination(tx_destination_2));
+ Assert(json_dest.write() == DescribeAddress(tx_destination_2).write());
+ Assert(dest == GetScriptForDestination(tx_destination_2));
+ }
}
}
diff --git a/src/test/fuzz/script_assets_test_minimizer.cpp b/src/test/fuzz/script_assets_test_minimizer.cpp
index 5f07acbcc7..00a3bed12f 100644
--- a/src/test/fuzz/script_assets_test_minimizer.cpp
+++ b/src/test/fuzz/script_assets_test_minimizer.cpp
@@ -54,7 +54,7 @@ CMutableTransaction TxFromHex(const std::string& str)
{
CMutableTransaction tx;
try {
- VectorReader(SER_DISK, SERIALIZE_TRANSACTION_NO_WITNESS, CheckedParseHex(str), 0) >> tx;
+ SpanReader{SER_DISK, SERIALIZE_TRANSACTION_NO_WITNESS, CheckedParseHex(str)} >> tx;
} catch (const std::ios_base::failure&) {
throw std::runtime_error("Tx deserialization failure");
}
@@ -68,7 +68,7 @@ std::vector<CTxOut> TxOutsFromJSON(const UniValue& univalue)
for (size_t i = 0; i < univalue.size(); ++i) {
CTxOut txout;
try {
- VectorReader(SER_DISK, 0, CheckedParseHex(univalue[i].get_str()), 0) >> txout;
+ SpanReader{SER_DISK, 0, CheckedParseHex(univalue[i].get_str())} >> txout;
} catch (const std::ios_base::failure&) {
throw std::runtime_error("Prevout invalid format");
}
@@ -133,8 +133,7 @@ unsigned int ParseScriptFlags(const std::string& str)
std::vector<std::string> words;
boost::algorithm::split(words, str, boost::algorithm::is_any_of(","));
- for (const std::string& word : words)
- {
+ for (const std::string& word : words) {
auto it = FLAG_NAMES.find(word);
if (it == FLAG_NAMES.end()) throw std::runtime_error("Unknown verification flag " + word);
flags |= it->second;
@@ -161,7 +160,7 @@ void Test(const std::string& str)
tx.vin[idx].scriptWitness = ScriptWitnessFromJSON(test["success"]["witness"]);
PrecomputedTransactionData txdata;
txdata.Init(tx, std::vector<CTxOut>(prevouts));
- MutableTransactionSignatureChecker txcheck(&tx, idx, prevouts[idx].nValue, txdata);
+ MutableTransactionSignatureChecker txcheck(&tx, idx, prevouts[idx].nValue, txdata, MissingDataBehavior::ASSERT_FAIL);
for (const auto flags : ALL_FLAGS) {
// "final": true tests are valid for all flags. Others are only valid with flags that are
// a subset of test_flags.
@@ -176,7 +175,7 @@ void Test(const std::string& str)
tx.vin[idx].scriptWitness = ScriptWitnessFromJSON(test["failure"]["witness"]);
PrecomputedTransactionData txdata;
txdata.Init(tx, std::vector<CTxOut>(prevouts));
- MutableTransactionSignatureChecker txcheck(&tx, idx, prevouts[idx].nValue, txdata);
+ MutableTransactionSignatureChecker txcheck(&tx, idx, prevouts[idx].nValue, txdata, MissingDataBehavior::ASSERT_FAIL);
for (const auto flags : ALL_FLAGS) {
// If a test is supposed to fail with test_flags, it should also fail with any superset thereof.
if ((flags & test_flags) == test_flags) {
@@ -186,15 +185,19 @@ void Test(const std::string& str)
}
}
-ECCVerifyHandle handle;
-
-} // namespace
+void test_init()
+{
+ static ECCVerifyHandle handle;
+}
-FUZZ_TARGET_INIT_HIDDEN(script_assets_test_minimizer, FuzzFrameworkEmptyInitFun, /* hidden */ true)
+FUZZ_TARGET_INIT_HIDDEN(script_assets_test_minimizer, test_init, /*hidden=*/true)
{
if (buffer.size() < 2 || buffer.back() != '\n' || buffer[buffer.size() - 2] != ',') return;
const std::string str((const char*)buffer.data(), buffer.size() - 2);
try {
Test(str);
- } catch (const std::runtime_error&) {}
+ } catch (const std::runtime_error&) {
+ }
}
+
+} // namespace
diff --git a/src/test/fuzz/script_descriptor_cache.cpp b/src/test/fuzz/script_descriptor_cache.cpp
index 1c62c018e7..ceb5cfe17e 100644
--- a/src/test/fuzz/script_descriptor_cache.cpp
+++ b/src/test/fuzz/script_descriptor_cache.cpp
@@ -1,8 +1,7 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <optional.h>
#include <pubkey.h>
#include <script/descriptor.h>
#include <test/fuzz/FuzzedDataProvider.h>
@@ -10,6 +9,7 @@
#include <test/fuzz/util.h>
#include <cstdint>
+#include <optional>
#include <string>
#include <vector>
@@ -17,7 +17,7 @@ FUZZ_TARGET(script_descriptor_cache)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
DescriptorCache descriptor_cache;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::vector<uint8_t> code = fuzzed_data_provider.ConsumeBytes<uint8_t>(BIP32_EXTKEY_SIZE);
if (code.size() == BIP32_EXTKEY_SIZE) {
CExtPubKey xpub;
diff --git a/src/test/fuzz/script_flags.cpp b/src/test/fuzz/script_flags.cpp
index ce8915ca2c..8dc99ee069 100644
--- a/src/test/fuzz/script_flags.cpp
+++ b/src/test/fuzz/script_flags.cpp
@@ -1,18 +1,16 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <consensus/amount.h>
#include <pubkey.h>
#include <script/interpreter.h>
#include <streams.h>
-#include <util/memory.h>
+#include <test/util/script.h>
#include <version.h>
#include <test/fuzz/fuzz.h>
-/** Flags that are not forbidden by an assert */
-static bool IsValidFlagCombination(unsigned flags);
-
void initialize_script_flags()
{
static const ECCVerifyHandle verify_handle;
@@ -44,6 +42,10 @@ FUZZ_TARGET_INIT(script_flags, initialize_script_flags)
for (unsigned i = 0; i < tx.vin.size(); ++i) {
CTxOut prevout;
ds >> prevout;
+ if (!MoneyRange(prevout.nValue)) {
+ // prevouts should be consensus-valid
+ prevout.nValue = 1;
+ }
spent_outputs.push_back(prevout);
}
PrecomputedTransactionData txdata;
@@ -51,7 +53,7 @@ FUZZ_TARGET_INIT(script_flags, initialize_script_flags)
for (unsigned i = 0; i < tx.vin.size(); ++i) {
const CTxOut& prevout = txdata.m_spent_outputs.at(i);
- const TransactionSignatureChecker checker{&tx, i, prevout.nValue, txdata};
+ const TransactionSignatureChecker checker{&tx, i, prevout.nValue, txdata, MissingDataBehavior::ASSERT_FAIL};
ScriptError serror;
const bool ret = VerifyScript(tx.vin.at(i).scriptSig, prevout.scriptPubKey, &tx.vin.at(i).scriptWitness, verify_flags, checker, &serror);
@@ -75,10 +77,3 @@ FUZZ_TARGET_INIT(script_flags, initialize_script_flags)
return;
}
}
-
-static bool IsValidFlagCombination(unsigned flags)
-{
- if (flags & SCRIPT_VERIFY_CLEANSTACK && ~flags & (SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS)) return false;
- if (flags & SCRIPT_VERIFY_WITNESS && ~flags & SCRIPT_VERIFY_P2SH) return false;
- return true;
-}
diff --git a/src/test/fuzz/script_format.cpp b/src/test/fuzz/script_format.cpp
new file mode 100644
index 0000000000..2fa893f812
--- /dev/null
+++ b/src/test/fuzz/script_format.cpp
@@ -0,0 +1,30 @@
+// Copyright (c) 2019-2022 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chainparams.h>
+#include <core_io.h>
+#include <script/script.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <univalue.h>
+
+void initialize_script_format()
+{
+ SelectParams(CBaseChainParams::REGTEST);
+}
+
+FUZZ_TARGET_INIT(script_format, initialize_script_format)
+{
+ FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
+ const CScript script{ConsumeScript(fuzzed_data_provider)};
+
+ (void)FormatScript(script);
+ (void)ScriptToAsmStr(script, /*fAttemptSighashDecode=*/fuzzed_data_provider.ConsumeBool());
+
+ UniValue o1(UniValue::VOBJ);
+ ScriptPubKeyToUniv(script, o1, /*include_hex=*/fuzzed_data_provider.ConsumeBool());
+ UniValue o3(UniValue::VOBJ);
+ ScriptToUniv(script, o3);
+}
diff --git a/src/test/fuzz/script_ops.cpp b/src/test/fuzz/script_ops.cpp
index eb1c808a88..12247679f2 100644
--- a/src/test/fuzz/script_ops.cpp
+++ b/src/test/fuzz/script_ops.cpp
@@ -14,55 +14,54 @@
FUZZ_TARGET(script_ops)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
- CScript script = ConsumeScript(fuzzed_data_provider);
- while (fuzzed_data_provider.remaining_bytes() > 0) {
+ CScript script_mut = ConsumeScript(fuzzed_data_provider);
+ LIMITED_WHILE(fuzzed_data_provider.remaining_bytes() > 0, 1000000) {
CallOneOf(
fuzzed_data_provider,
[&] {
CScript s = ConsumeScript(fuzzed_data_provider);
- script = std::move(s);
+ script_mut = std::move(s);
},
[&] {
const CScript& s = ConsumeScript(fuzzed_data_provider);
- script = s;
+ script_mut = s;
},
[&] {
- script << fuzzed_data_provider.ConsumeIntegral<int64_t>();
+ script_mut << fuzzed_data_provider.ConsumeIntegral<int64_t>();
},
[&] {
- script << ConsumeOpcodeType(fuzzed_data_provider);
+ script_mut << ConsumeOpcodeType(fuzzed_data_provider);
},
[&] {
- script << ConsumeScriptNum(fuzzed_data_provider);
+ script_mut << ConsumeScriptNum(fuzzed_data_provider);
},
[&] {
- script << ConsumeRandomLengthByteVector(fuzzed_data_provider);
+ script_mut << ConsumeRandomLengthByteVector(fuzzed_data_provider);
},
[&] {
- script.clear();
- },
- [&] {
- (void)script.GetSigOpCount(false);
- (void)script.GetSigOpCount(true);
- (void)script.GetSigOpCount(script);
- (void)script.HasValidOps();
- (void)script.IsPayToScriptHash();
- (void)script.IsPayToWitnessScriptHash();
- (void)script.IsPushOnly();
- (void)script.IsUnspendable();
- {
- CScript::const_iterator pc = script.begin();
- opcodetype opcode;
- (void)script.GetOp(pc, opcode);
- std::vector<uint8_t> data;
- (void)script.GetOp(pc, opcode, data);
- (void)script.IsPushOnly(pc);
- }
- {
- int version;
- std::vector<uint8_t> program;
- (void)script.IsWitnessProgram(version, program);
- }
+ script_mut.clear();
});
}
+ const CScript& script = script_mut;
+ (void)script.GetSigOpCount(false);
+ (void)script.GetSigOpCount(true);
+ (void)script.GetSigOpCount(script);
+ (void)script.HasValidOps();
+ (void)script.IsPayToScriptHash();
+ (void)script.IsPayToWitnessScriptHash();
+ (void)script.IsPushOnly();
+ (void)script.IsUnspendable();
+ {
+ CScript::const_iterator pc = script.begin();
+ opcodetype opcode;
+ (void)script.GetOp(pc, opcode);
+ std::vector<uint8_t> data;
+ (void)script.GetOp(pc, opcode, data);
+ (void)script.IsPushOnly(pc);
+ }
+ {
+ int version;
+ std::vector<uint8_t> program;
+ (void)script.IsWitnessProgram(version, program);
+ }
}
diff --git a/src/test/fuzz/script_sign.cpp b/src/test/fuzz/script_sign.cpp
index fe850a6959..1446eafe92 100644
--- a/src/test/fuzz/script_sign.cpp
+++ b/src/test/fuzz/script_sign.cpp
@@ -1,10 +1,11 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chainparams.h>
#include <chainparamsbase.h>
#include <key.h>
+#include <psbt.h>
#include <pubkey.h>
#include <script/keyorigin.h>
#include <script/sign.h>
@@ -13,6 +14,7 @@
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
+#include <util/translation.h>
#include <cassert>
#include <cstdint>
@@ -42,12 +44,12 @@ FUZZ_TARGET_INIT(script_sign, initialize_script_sign)
} catch (const std::ios_base::failure&) {
}
CDataStream serialized{SER_NETWORK, PROTOCOL_VERSION};
- SerializeHDKeypaths(serialized, hd_keypaths, fuzzed_data_provider.ConsumeIntegral<uint8_t>());
+ SerializeHDKeypaths(serialized, hd_keypaths, CompactSizeWriter(fuzzed_data_provider.ConsumeIntegral<uint8_t>()));
}
{
std::map<CPubKey, KeyOriginInfo> hd_keypaths;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::optional<CPubKey> pub_key = ConsumeDeserializable<CPubKey>(fuzzed_data_provider);
if (!pub_key) {
break;
@@ -60,7 +62,7 @@ FUZZ_TARGET_INIT(script_sign, initialize_script_sign)
}
CDataStream serialized{SER_NETWORK, PROTOCOL_VERSION};
try {
- SerializeHDKeypaths(serialized, hd_keypaths, fuzzed_data_provider.ConsumeIntegral<uint8_t>());
+ SerializeHDKeypaths(serialized, hd_keypaths, CompactSizeWriter(fuzzed_data_provider.ConsumeIntegral<uint8_t>()));
} catch (const std::ios_base::failure&) {
}
std::map<CPubKey, KeyOriginInfo> deserialized_hd_keypaths;
@@ -124,7 +126,7 @@ FUZZ_TARGET_INIT(script_sign, initialize_script_sign)
(void)signature_creator.CreateSig(provider, vch_sig, address, ConsumeScript(fuzzed_data_provider), fuzzed_data_provider.PickValueInArray({SigVersion::BASE, SigVersion::WITNESS_V0}));
}
std::map<COutPoint, Coin> coins;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
const std::optional<COutPoint> outpoint = ConsumeDeserializable<COutPoint>(fuzzed_data_provider);
if (!outpoint) {
break;
@@ -135,7 +137,7 @@ FUZZ_TARGET_INIT(script_sign, initialize_script_sign)
}
coins[*outpoint] = *coin;
}
- std::map<int, std::string> input_errors;
+ std::map<int, bilingual_str> input_errors;
(void)SignTransaction(sign_transaction_tx_to, &provider, coins, fuzzed_data_provider.ConsumeIntegral<int>(), input_errors);
}
}
diff --git a/src/test/fuzz/scriptnum_ops.cpp b/src/test/fuzz/scriptnum_ops.cpp
index 62ed50d13f..0681aaf949 100644
--- a/src/test/fuzz/scriptnum_ops.cpp
+++ b/src/test/fuzz/scriptnum_ops.cpp
@@ -28,7 +28,7 @@ FUZZ_TARGET(scriptnum_ops)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
CScriptNum script_num = ConsumeScriptNum(fuzzed_data_provider);
- while (fuzzed_data_provider.remaining_bytes() > 0) {
+ LIMITED_WHILE(fuzzed_data_provider.remaining_bytes() > 0, 1000000) {
CallOneOf(
fuzzed_data_provider,
[&] {
diff --git a/src/test/fuzz/signature_checker.cpp b/src/test/fuzz/signature_checker.cpp
index 3e7b72805e..f6c591aca4 100644
--- a/src/test/fuzz/signature_checker.cpp
+++ b/src/test/fuzz/signature_checker.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,7 +6,8 @@
#include <script/interpreter.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
-#include <util/memory.h>
+#include <test/fuzz/util.h>
+#include <test/util/script.h>
#include <cstdint>
#include <limits>
@@ -15,7 +16,7 @@
void initialize_signature_checker()
{
- static const auto verify_handle = MakeUnique<ECCVerifyHandle>();
+ static const auto verify_handle = std::make_unique<ECCVerifyHandle>();
}
namespace {
@@ -33,7 +34,7 @@ public:
return m_fuzzed_data_provider.ConsumeBool();
}
- bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, const ScriptExecutionData& execdata, ScriptError* serror = nullptr) const override
+ bool CheckSchnorrSignature(Span<const unsigned char> sig, Span<const unsigned char> pubkey, SigVersion sigversion, ScriptExecutionData& execdata, ScriptError* serror = nullptr) const override
{
return m_fuzzed_data_provider.ConsumeBool();
}
@@ -57,17 +58,12 @@ FUZZ_TARGET_INIT(signature_checker, initialize_signature_checker)
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
const unsigned int flags = fuzzed_data_provider.ConsumeIntegral<unsigned int>();
const SigVersion sig_version = fuzzed_data_provider.PickValueInArray({SigVersion::BASE, SigVersion::WITNESS_V0});
- const std::string script_string_1 = fuzzed_data_provider.ConsumeRandomLengthString(65536);
- const std::vector<uint8_t> script_bytes_1{script_string_1.begin(), script_string_1.end()};
- const std::string script_string_2 = fuzzed_data_provider.ConsumeRandomLengthString(65536);
- const std::vector<uint8_t> script_bytes_2{script_string_2.begin(), script_string_2.end()};
+ const auto script_1{ConsumeScript(fuzzed_data_provider)};
+ const auto script_2{ConsumeScript(fuzzed_data_provider)};
std::vector<std::vector<unsigned char>> stack;
- (void)EvalScript(stack, {script_bytes_1.begin(), script_bytes_1.end()}, flags, FuzzedSignatureChecker(fuzzed_data_provider), sig_version, nullptr);
- if ((flags & SCRIPT_VERIFY_CLEANSTACK) != 0 && ((flags & SCRIPT_VERIFY_P2SH) == 0 || (flags & SCRIPT_VERIFY_WITNESS) == 0)) {
+ (void)EvalScript(stack, script_1, flags, FuzzedSignatureChecker(fuzzed_data_provider), sig_version, nullptr);
+ if (!IsValidFlagCombination(flags)) {
return;
}
- if ((flags & SCRIPT_VERIFY_WITNESS) != 0 && (flags & SCRIPT_VERIFY_P2SH) == 0) {
- return;
- }
- (void)VerifyScript({script_bytes_1.begin(), script_bytes_1.end()}, {script_bytes_2.begin(), script_bytes_2.end()}, nullptr, flags, FuzzedSignatureChecker(fuzzed_data_provider), nullptr);
+ (void)VerifyScript(script_1, script_2, nullptr, flags, FuzzedSignatureChecker(fuzzed_data_provider), nullptr);
}
diff --git a/src/test/fuzz/socks5.cpp b/src/test/fuzz/socks5.cpp
index e5cc4cabe5..c3a6eed089 100644
--- a/src/test/fuzz/socks5.cpp
+++ b/src/test/fuzz/socks5.cpp
@@ -2,6 +2,7 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <netaddress.h>
#include <netbase.h>
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
@@ -38,7 +39,7 @@ FUZZ_TARGET_INIT(socks5, initialize_socks5)
// This Socks5(...) fuzzing harness would have caught CVE-2017-18350 within
// a few seconds of fuzzing.
(void)Socks5(fuzzed_data_provider.ConsumeRandomLengthString(512),
- fuzzed_data_provider.ConsumeIntegral<int>(),
+ fuzzed_data_provider.ConsumeIntegral<uint16_t>(),
fuzzed_data_provider.ConsumeBool() ? &proxy_credentials : nullptr,
fuzzed_sock);
}
diff --git a/src/test/fuzz/string.cpp b/src/test/fuzz/string.cpp
index 93b4948a2f..ca57af25c4 100644
--- a/src/test/fuzz/string.cpp
+++ b/src/test/fuzz/string.cpp
@@ -5,6 +5,7 @@
#include <blockfilter.h>
#include <clientversion.h>
#include <logging.h>
+#include <netaddress.h>
#include <netbase.h>
#include <outputtype.h>
#include <rpc/client.h>
@@ -30,9 +31,105 @@
#include <version.h>
#include <cstdint>
+#include <cstdlib>
#include <string>
#include <vector>
+namespace {
+bool LegacyParsePrechecks(const std::string& str)
+{
+ if (str.empty()) // No empty string allowed
+ return false;
+ if (str.size() >= 1 && (IsSpace(str[0]) || IsSpace(str[str.size() - 1]))) // No padding allowed
+ return false;
+ if (!ValidAsCString(str)) // No embedded NUL characters allowed
+ return false;
+ return true;
+}
+
+bool LegacyParseInt32(const std::string& str, int32_t* out)
+{
+ if (!LegacyParsePrechecks(str))
+ return false;
+ char* endp = nullptr;
+ errno = 0; // strtol will not set errno if valid
+ long int n = strtol(str.c_str(), &endp, 10);
+ if (out) *out = (int32_t)n;
+ // Note that strtol returns a *long int*, so even if strtol doesn't report an over/underflow
+ // we still have to check that the returned value is within the range of an *int32_t*. On 64-bit
+ // platforms the size of these types may be different.
+ return endp && *endp == 0 && !errno &&
+ n >= std::numeric_limits<int32_t>::min() &&
+ n <= std::numeric_limits<int32_t>::max();
+}
+
+bool LegacyParseInt64(const std::string& str, int64_t* out)
+{
+ if (!LegacyParsePrechecks(str))
+ return false;
+ char* endp = nullptr;
+ errno = 0; // strtoll will not set errno if valid
+ long long int n = strtoll(str.c_str(), &endp, 10);
+ if (out) *out = (int64_t)n;
+ // Note that strtoll returns a *long long int*, so even if strtol doesn't report an over/underflow
+ // we still have to check that the returned value is within the range of an *int64_t*.
+ return endp && *endp == 0 && !errno &&
+ n >= std::numeric_limits<int64_t>::min() &&
+ n <= std::numeric_limits<int64_t>::max();
+}
+
+bool LegacyParseUInt32(const std::string& str, uint32_t* out)
+{
+ if (!LegacyParsePrechecks(str))
+ return false;
+ if (str.size() >= 1 && str[0] == '-') // Reject negative values, unfortunately strtoul accepts these by default if they fit in the range
+ return false;
+ char* endp = nullptr;
+ errno = 0; // strtoul will not set errno if valid
+ unsigned long int n = strtoul(str.c_str(), &endp, 10);
+ if (out) *out = (uint32_t)n;
+ // Note that strtoul returns a *unsigned long int*, so even if it doesn't report an over/underflow
+ // we still have to check that the returned value is within the range of an *uint32_t*. On 64-bit
+ // platforms the size of these types may be different.
+ return endp && *endp == 0 && !errno &&
+ n <= std::numeric_limits<uint32_t>::max();
+}
+
+bool LegacyParseUInt8(const std::string& str, uint8_t* out)
+{
+ uint32_t u32;
+ if (!LegacyParseUInt32(str, &u32) || u32 > std::numeric_limits<uint8_t>::max()) {
+ return false;
+ }
+ if (out != nullptr) {
+ *out = static_cast<uint8_t>(u32);
+ }
+ return true;
+}
+
+bool LegacyParseUInt64(const std::string& str, uint64_t* out)
+{
+ if (!LegacyParsePrechecks(str))
+ return false;
+ if (str.size() >= 1 && str[0] == '-') // Reject negative values, unfortunately strtoull accepts these by default if they fit in the range
+ return false;
+ char* endp = nullptr;
+ errno = 0; // strtoull will not set errno if valid
+ unsigned long long int n = strtoull(str.c_str(), &endp, 10);
+ if (out) *out = (uint64_t)n;
+ // Note that strtoull returns a *unsigned long long int*, so even if it doesn't report an over/underflow
+ // we still have to check that the returned value is within the range of an *uint64_t*.
+ return endp && *endp == 0 && !errno &&
+ n <= std::numeric_limits<uint64_t>::max();
+}
+
+// For backwards compatibility checking.
+int64_t atoi64_legacy(const std::string& str)
+{
+ return strtoll(str.c_str(), nullptr, 10);
+}
+}; // namespace
+
FUZZ_TARGET(string)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
@@ -48,7 +145,8 @@ FUZZ_TARGET(string)
(void)CopyrightHolders(random_string_1);
FeeEstimateMode fee_estimate_mode;
(void)FeeModeFromString(random_string_1, fee_estimate_mode);
- (void)FormatParagraph(random_string_1, fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 1000), fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, 1000));
+ const auto width{fuzzed_data_provider.ConsumeIntegralInRange<size_t>(1, 1000)};
+ (void)FormatParagraph(random_string_1, width, fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, width));
(void)FormatSubVersion(random_string_1, fuzzed_data_provider.ConsumeIntegral<int>(), random_string_vector);
(void)GetDescriptorChecksum(random_string_1);
(void)HelpExampleCli(random_string_1, random_string_2);
@@ -65,8 +163,7 @@ FUZZ_TARGET(string)
(void)ParseNonRFCJSONValue(random_string_1);
} catch (const std::runtime_error&) {
}
- OutputType output_type;
- (void)ParseOutputType(random_string_1, output_type);
+ (void)ParseOutputType(random_string_1);
(void)RemovePrefix(random_string_1, random_string_2);
(void)ResolveErrMsg(random_string_1, random_string_2);
try {
@@ -82,7 +179,7 @@ FUZZ_TARGET(string)
#ifndef WIN32
(void)ShellEscape(random_string_1);
#endif // WIN32
- int port_out;
+ uint16_t port_out;
std::string host_out;
SplitHostPort(random_string_1, port_out, host_out);
(void)TimingResistantEqual(random_string_1, random_string_2);
@@ -133,4 +230,61 @@ FUZZ_TARGET(string)
const bilingual_str bs2{random_string_2, random_string_1};
(void)(bs1 + bs2);
}
+ {
+ int32_t i32;
+ int64_t i64;
+ uint32_t u32;
+ uint64_t u64;
+ uint8_t u8;
+ const bool ok_i32 = ParseInt32(random_string_1, &i32);
+ const bool ok_i64 = ParseInt64(random_string_1, &i64);
+ const bool ok_u32 = ParseUInt32(random_string_1, &u32);
+ const bool ok_u64 = ParseUInt64(random_string_1, &u64);
+ const bool ok_u8 = ParseUInt8(random_string_1, &u8);
+
+ int32_t i32_legacy;
+ int64_t i64_legacy;
+ uint32_t u32_legacy;
+ uint64_t u64_legacy;
+ uint8_t u8_legacy;
+ const bool ok_i32_legacy = LegacyParseInt32(random_string_1, &i32_legacy);
+ const bool ok_i64_legacy = LegacyParseInt64(random_string_1, &i64_legacy);
+ const bool ok_u32_legacy = LegacyParseUInt32(random_string_1, &u32_legacy);
+ const bool ok_u64_legacy = LegacyParseUInt64(random_string_1, &u64_legacy);
+ const bool ok_u8_legacy = LegacyParseUInt8(random_string_1, &u8_legacy);
+
+ assert(ok_i32 == ok_i32_legacy);
+ assert(ok_i64 == ok_i64_legacy);
+ assert(ok_u32 == ok_u32_legacy);
+ assert(ok_u64 == ok_u64_legacy);
+ assert(ok_u8 == ok_u8_legacy);
+
+ if (ok_i32) {
+ assert(i32 == i32_legacy);
+ }
+ if (ok_i64) {
+ assert(i64 == i64_legacy);
+ }
+ if (ok_u32) {
+ assert(u32 == u32_legacy);
+ }
+ if (ok_u64) {
+ assert(u64 == u64_legacy);
+ }
+ if (ok_u8) {
+ assert(u8 == u8_legacy);
+ }
+ }
+
+ {
+ const int locale_independent_atoi_result = LocaleIndependentAtoi<int>(random_string_1);
+ const int64_t atoi64_result = atoi64_legacy(random_string_1);
+ assert(locale_independent_atoi_result == std::clamp<int64_t>(atoi64_result, std::numeric_limits<int>::min(), std::numeric_limits<int>::max()));
+ }
+
+ {
+ const int64_t atoi64_result = atoi64_legacy(random_string_1);
+ const int64_t locale_independent_atoi_result = LocaleIndependentAtoi<int64_t>(random_string_1);
+ assert(atoi64_result == locale_independent_atoi_result);
+ }
}
diff --git a/src/test/fuzz/strprintf.cpp b/src/test/fuzz/strprintf.cpp
index 2c92b159a5..18de0e1960 100644
--- a/src/test/fuzz/strprintf.cpp
+++ b/src/test/fuzz/strprintf.cpp
@@ -49,67 +49,6 @@ FUZZ_TARGET(str_printf)
// Upstream bug report: https://github.com/c42f/tinyformat/issues/70
try {
- (void)strprintf(format_string, (signed char*)nullptr);
- (void)tinyformat::format(bilingual_string, (signed char*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (unsigned char*)nullptr);
- (void)tinyformat::format(bilingual_string, (unsigned char*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (void*)nullptr);
- (void)tinyformat::format(bilingual_string, (void*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (bool*)nullptr);
- (void)tinyformat::format(bilingual_string, (bool*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (float*)nullptr);
- (void)tinyformat::format(bilingual_string, (float*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (double*)nullptr);
- (void)tinyformat::format(bilingual_string, (double*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (int16_t*)nullptr);
- (void)tinyformat::format(bilingual_string, (int16_t*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (uint16_t*)nullptr);
- (void)tinyformat::format(bilingual_string, (uint16_t*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (int32_t*)nullptr);
- (void)tinyformat::format(bilingual_string, (int32_t*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (uint32_t*)nullptr);
- (void)tinyformat::format(bilingual_string, (uint32_t*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (int64_t*)nullptr);
- (void)tinyformat::format(bilingual_string, (int64_t*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
- try {
- (void)strprintf(format_string, (uint64_t*)nullptr);
- (void)tinyformat::format(bilingual_string, (uint64_t*)nullptr);
- } catch (const tinyformat::format_error&) {
- }
-
- try {
CallOneOf(
fuzzed_data_provider,
[&] {
diff --git a/src/test/fuzz/system.cpp b/src/test/fuzz/system.cpp
index d9571209fa..dc3f9c8b8f 100644
--- a/src/test/fuzz/system.cpp
+++ b/src/test/fuzz/system.cpp
@@ -5,6 +5,7 @@
#include <test/fuzz/FuzzedDataProvider.h>
#include <test/fuzz/fuzz.h>
#include <test/fuzz/util.h>
+#include <test/util/setup_common.h>
#include <util/system.h>
#include <cstdint>
@@ -12,6 +13,11 @@
#include <vector>
namespace {
+void initialize_system()
+{
+ static const auto testing_setup = MakeNoLogFileContext<>();
+}
+
std::string GetArgumentName(const std::string& name)
{
size_t idx = name.find('=');
@@ -20,9 +26,8 @@ std::string GetArgumentName(const std::string& name)
}
return name.substr(0, idx);
}
-} // namespace
-FUZZ_TARGET(system)
+FUZZ_TARGET_INIT(system, initialize_system)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
ArgsManager args_manager{};
@@ -31,7 +36,8 @@ FUZZ_TARGET(system)
SetupHelpOptions(args_manager);
}
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 3000)
+ {
CallOneOf(
fuzzed_data_provider,
[&] {
@@ -51,7 +57,7 @@ FUZZ_TARGET(system)
// Avoid hitting:
// util/system.cpp:425: void ArgsManager::AddArg(const std::string &, const std::string &, unsigned int, const OptionsCategory &): Assertion `ret.second' failed.
const std::string argument_name = GetArgumentName(fuzzed_data_provider.ConsumeRandomLengthString(16));
- if (args_manager.GetArgFlags(argument_name) != nullopt) {
+ if (args_manager.GetArgFlags(argument_name) != std::nullopt) {
return;
}
args_manager.AddArg(argument_name, fuzzed_data_provider.ConsumeRandomLengthString(16), fuzzed_data_provider.ConsumeIntegral<unsigned int>() & ~ArgsManager::COMMAND, options_category);
@@ -63,7 +69,7 @@ FUZZ_TARGET(system)
std::vector<std::string> hidden_arguments;
for (const std::string& name : names) {
const std::string hidden_argument = GetArgumentName(name);
- if (args_manager.GetArgFlags(hidden_argument) != nullopt) {
+ if (args_manager.GetArgFlags(hidden_argument) != std::nullopt) {
continue;
}
if (std::find(hidden_arguments.begin(), hidden_arguments.end(), hidden_argument) != hidden_arguments.end()) {
@@ -96,7 +102,7 @@ FUZZ_TARGET(system)
const int64_t i64 = fuzzed_data_provider.ConsumeIntegral<int64_t>();
const bool b = fuzzed_data_provider.ConsumeBool();
- (void)args_manager.GetArg(s1, i64);
+ (void)args_manager.GetIntArg(s1, i64);
(void)args_manager.GetArg(s1, s2);
(void)args_manager.GetArgFlags(s1);
(void)args_manager.GetArgs(s1);
@@ -113,3 +119,4 @@ FUZZ_TARGET(system)
(void)HelpRequested(args_manager);
}
+} // namespace
diff --git a/src/test/fuzz/timedata.cpp b/src/test/fuzz/timedata.cpp
index d7fa66298a..f5d005296b 100644
--- a/src/test/fuzz/timedata.cpp
+++ b/src/test/fuzz/timedata.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -15,10 +15,12 @@ FUZZ_TARGET(timedata)
{
FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
const unsigned int max_size = fuzzed_data_provider.ConsumeIntegralInRange<unsigned int>(0, 1000);
+ // A max_size of 0 implies no limit, so cap the max number of insertions to avoid timeouts
+ auto max_to_insert = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, 4000);
// Divide by 2 to avoid signed integer overflow in .median()
const int64_t initial_value = fuzzed_data_provider.ConsumeIntegral<int64_t>() / 2;
CMedianFilter<int64_t> median_filter{max_size, initial_value};
- while (fuzzed_data_provider.remaining_bytes() > 0) {
+ while (fuzzed_data_provider.remaining_bytes() > 0 && --max_to_insert >= 0) {
(void)median_filter.median();
assert(median_filter.size() > 0);
assert(static_cast<size_t>(median_filter.size()) == median_filter.sorted().size());
diff --git a/src/test/fuzz/torcontrol.cpp b/src/test/fuzz/torcontrol.cpp
index a97d3962bf..a78715f769 100644
--- a/src/test/fuzz/torcontrol.cpp
+++ b/src/test/fuzz/torcontrol.cpp
@@ -44,7 +44,7 @@ FUZZ_TARGET_INIT(torcontrol, initialize_torcontrol)
FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
TorController tor_controller;
- while (fuzzed_data_provider.ConsumeBool()) {
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 10000) {
TorControlReply tor_control_reply;
CallOneOf(
fuzzed_data_provider,
diff --git a/src/test/fuzz/transaction.cpp b/src/test/fuzz/transaction.cpp
index 41e1687405..6dd8a36692 100644
--- a/src/test/fuzz/transaction.cpp
+++ b/src/test/fuzz/transaction.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -61,8 +61,11 @@ FUZZ_TARGET_INIT(transaction, initialize_transaction)
return;
}
- TxValidationState state_with_dupe_check;
- (void)CheckTransaction(tx, state_with_dupe_check);
+ {
+ TxValidationState state_with_dupe_check;
+ const bool res{CheckTransaction(tx, state_with_dupe_check)};
+ Assert(res == state_with_dupe_check.IsValid());
+ }
const CFeeRate dust_relay_fee{DUST_RELAY_TX_FEE};
std::string reason;
@@ -95,12 +98,10 @@ FUZZ_TARGET_INIT(transaction, initialize_transaction)
CCoinsView coins_view;
const CCoinsViewCache coins_view_cache(&coins_view);
- (void)AreInputsStandard(tx, coins_view_cache, false);
- (void)AreInputsStandard(tx, coins_view_cache, true);
+ (void)AreInputsStandard(tx, coins_view_cache);
(void)IsWitnessStandard(tx, coins_view_cache);
UniValue u(UniValue::VOBJ);
- TxToUniv(tx, /* hashBlock */ {}, u);
- static const uint256 u256_max(uint256S("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"));
- TxToUniv(tx, u256_max, u);
+ TxToUniv(tx, /*hashBlock=*/uint256::ZERO, u);
+ TxToUniv(tx, /*hashBlock=*/uint256::ONE, u);
}
diff --git a/src/test/fuzz/tx_pool.cpp b/src/test/fuzz/tx_pool.cpp
new file mode 100644
index 0000000000..df5b271d06
--- /dev/null
+++ b/src/test/fuzz/tx_pool.cpp
@@ -0,0 +1,354 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <consensus/validation.h>
+#include <node/miner.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <test/util/mining.h>
+#include <test/util/script.h>
+#include <test/util/setup_common.h>
+#include <util/rbf.h>
+#include <validation.h>
+#include <validationinterface.h>
+
+using node::BlockAssembler;
+
+namespace {
+
+const TestingSetup* g_setup;
+std::vector<COutPoint> g_outpoints_coinbase_init_mature;
+std::vector<COutPoint> g_outpoints_coinbase_init_immature;
+
+struct MockedTxPool : public CTxMemPool {
+ void RollingFeeUpdate() EXCLUSIVE_LOCKS_REQUIRED(!cs)
+ {
+ LOCK(cs);
+ lastRollingFeeUpdate = GetTime();
+ blockSinceLastRollingFeeBump = true;
+ }
+};
+
+class DummyChainState final : public CChainState
+{
+public:
+ void SetMempool(CTxMemPool* mempool)
+ {
+ m_mempool = mempool;
+ }
+};
+
+void initialize_tx_pool()
+{
+ static const auto testing_setup = MakeNoLogFileContext<const TestingSetup>();
+ g_setup = testing_setup.get();
+
+ for (int i = 0; i < 2 * COINBASE_MATURITY; ++i) {
+ CTxIn in = MineBlock(g_setup->m_node, P2WSH_OP_TRUE);
+ // Remember the txids to avoid expensive disk access later on
+ auto& outpoints = i < COINBASE_MATURITY ?
+ g_outpoints_coinbase_init_mature :
+ g_outpoints_coinbase_init_immature;
+ outpoints.push_back(in.prevout);
+ }
+ SyncWithValidationInterfaceQueue();
+}
+
+struct TransactionsDelta final : public CValidationInterface {
+ std::set<CTransactionRef>& m_removed;
+ std::set<CTransactionRef>& m_added;
+
+ explicit TransactionsDelta(std::set<CTransactionRef>& r, std::set<CTransactionRef>& a)
+ : m_removed{r}, m_added{a} {}
+
+ void TransactionAddedToMempool(const CTransactionRef& tx, uint64_t /* mempool_sequence */) override
+ {
+ Assert(m_added.insert(tx).second);
+ }
+
+ void TransactionRemovedFromMempool(const CTransactionRef& tx, MemPoolRemovalReason reason, uint64_t /* mempool_sequence */) override
+ {
+ Assert(m_removed.insert(tx).second);
+ }
+};
+
+void SetMempoolConstraints(ArgsManager& args, FuzzedDataProvider& fuzzed_data_provider)
+{
+ args.ForceSetArg("-limitancestorcount",
+ ToString(fuzzed_data_provider.ConsumeIntegralInRange<unsigned>(0, 50)));
+ args.ForceSetArg("-limitancestorsize",
+ ToString(fuzzed_data_provider.ConsumeIntegralInRange<unsigned>(0, 202)));
+ args.ForceSetArg("-limitdescendantcount",
+ ToString(fuzzed_data_provider.ConsumeIntegralInRange<unsigned>(0, 50)));
+ args.ForceSetArg("-limitdescendantsize",
+ ToString(fuzzed_data_provider.ConsumeIntegralInRange<unsigned>(0, 202)));
+ args.ForceSetArg("-maxmempool",
+ ToString(fuzzed_data_provider.ConsumeIntegralInRange<unsigned>(0, 200)));
+ args.ForceSetArg("-mempoolexpiry",
+ ToString(fuzzed_data_provider.ConsumeIntegralInRange<unsigned>(0, 999)));
+}
+
+void Finish(FuzzedDataProvider& fuzzed_data_provider, MockedTxPool& tx_pool, CChainState& chainstate)
+{
+ WITH_LOCK(::cs_main, tx_pool.check(chainstate.CoinsTip(), chainstate.m_chain.Height() + 1));
+ {
+ BlockAssembler::Options options;
+ options.nBlockMaxWeight = fuzzed_data_provider.ConsumeIntegralInRange(0U, MAX_BLOCK_WEIGHT);
+ options.blockMinFeeRate = CFeeRate{ConsumeMoney(fuzzed_data_provider, /*max=*/COIN)};
+ auto assembler = BlockAssembler{chainstate, *static_cast<CTxMemPool*>(&tx_pool), chainstate.m_params, options};
+ auto block_template = assembler.CreateNewBlock(CScript{} << OP_TRUE);
+ Assert(block_template->block.vtx.size() >= 1);
+ }
+ const auto info_all = tx_pool.infoAll();
+ if (!info_all.empty()) {
+ const auto& tx_to_remove = *PickValue(fuzzed_data_provider, info_all).tx;
+ WITH_LOCK(tx_pool.cs, tx_pool.removeRecursive(tx_to_remove, MemPoolRemovalReason::BLOCK /* dummy */));
+ std::vector<uint256> all_txids;
+ tx_pool.queryHashes(all_txids);
+ assert(all_txids.size() < info_all.size());
+ WITH_LOCK(::cs_main, tx_pool.check(chainstate.CoinsTip(), chainstate.m_chain.Height() + 1));
+ }
+ SyncWithValidationInterfaceQueue();
+}
+
+void MockTime(FuzzedDataProvider& fuzzed_data_provider, const CChainState& chainstate)
+{
+ const auto time = ConsumeTime(fuzzed_data_provider,
+ chainstate.m_chain.Tip()->GetMedianTimePast() + 1,
+ std::numeric_limits<decltype(chainstate.m_chain.Tip()->nTime)>::max());
+ SetMockTime(time);
+}
+
+FUZZ_TARGET_INIT(tx_pool_standard, initialize_tx_pool)
+{
+ FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
+ const auto& node = g_setup->m_node;
+ auto& chainstate{static_cast<DummyChainState&>(node.chainman->ActiveChainstate())};
+
+ MockTime(fuzzed_data_provider, chainstate);
+ SetMempoolConstraints(*node.args, fuzzed_data_provider);
+
+ // All RBF-spendable outpoints
+ std::set<COutPoint> outpoints_rbf;
+ // All outpoints counting toward the total supply (subset of outpoints_rbf)
+ std::set<COutPoint> outpoints_supply;
+ for (const auto& outpoint : g_outpoints_coinbase_init_mature) {
+ Assert(outpoints_supply.insert(outpoint).second);
+ }
+ outpoints_rbf = outpoints_supply;
+
+ // The sum of the values of all spendable outpoints
+ constexpr CAmount SUPPLY_TOTAL{COINBASE_MATURITY * 50 * COIN};
+
+ CTxMemPool tx_pool_{/*estimator=*/nullptr, /*check_ratio=*/1};
+ MockedTxPool& tx_pool = *static_cast<MockedTxPool*>(&tx_pool_);
+
+ chainstate.SetMempool(&tx_pool);
+
+ // Helper to query an amount
+ const CCoinsViewMemPool amount_view{WITH_LOCK(::cs_main, return &chainstate.CoinsTip()), tx_pool};
+ const auto GetAmount = [&](const COutPoint& outpoint) {
+ Coin c;
+ Assert(amount_view.GetCoin(outpoint, c));
+ return c.out.nValue;
+ };
+
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 300)
+ {
+ {
+ // Total supply is the mempool fee + all outpoints
+ CAmount supply_now{WITH_LOCK(tx_pool.cs, return tx_pool.GetTotalFee())};
+ for (const auto& op : outpoints_supply) {
+ supply_now += GetAmount(op);
+ }
+ Assert(supply_now == SUPPLY_TOTAL);
+ }
+ Assert(!outpoints_supply.empty());
+
+ // Create transaction to add to the mempool
+ const CTransactionRef tx = [&] {
+ CMutableTransaction tx_mut;
+ tx_mut.nVersion = CTransaction::CURRENT_VERSION;
+ tx_mut.nLockTime = fuzzed_data_provider.ConsumeBool() ? 0 : fuzzed_data_provider.ConsumeIntegral<uint32_t>();
+ const auto num_in = fuzzed_data_provider.ConsumeIntegralInRange<int>(1, outpoints_rbf.size());
+ const auto num_out = fuzzed_data_provider.ConsumeIntegralInRange<int>(1, outpoints_rbf.size() * 2);
+
+ CAmount amount_in{0};
+ for (int i = 0; i < num_in; ++i) {
+ // Pop random outpoint
+ auto pop = outpoints_rbf.begin();
+ std::advance(pop, fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, outpoints_rbf.size() - 1));
+ const auto outpoint = *pop;
+ outpoints_rbf.erase(pop);
+ amount_in += GetAmount(outpoint);
+
+ // Create input
+ const auto sequence = ConsumeSequence(fuzzed_data_provider);
+ const auto script_sig = CScript{};
+ const auto script_wit_stack = std::vector<std::vector<uint8_t>>{WITNESS_STACK_ELEM_OP_TRUE};
+ CTxIn in;
+ in.prevout = outpoint;
+ in.nSequence = sequence;
+ in.scriptSig = script_sig;
+ in.scriptWitness.stack = script_wit_stack;
+
+ tx_mut.vin.push_back(in);
+ }
+ const auto amount_fee = fuzzed_data_provider.ConsumeIntegralInRange<CAmount>(-1000, amount_in);
+ const auto amount_out = (amount_in - amount_fee) / num_out;
+ for (int i = 0; i < num_out; ++i) {
+ tx_mut.vout.emplace_back(amount_out, P2WSH_OP_TRUE);
+ }
+ const auto tx = MakeTransactionRef(tx_mut);
+ // Restore previously removed outpoints
+ for (const auto& in : tx->vin) {
+ Assert(outpoints_rbf.insert(in.prevout).second);
+ }
+ return tx;
+ }();
+
+ if (fuzzed_data_provider.ConsumeBool()) {
+ MockTime(fuzzed_data_provider, chainstate);
+ }
+ if (fuzzed_data_provider.ConsumeBool()) {
+ SetMempoolConstraints(*node.args, fuzzed_data_provider);
+ }
+ if (fuzzed_data_provider.ConsumeBool()) {
+ tx_pool.RollingFeeUpdate();
+ }
+ if (fuzzed_data_provider.ConsumeBool()) {
+ const auto& txid = fuzzed_data_provider.ConsumeBool() ?
+ tx->GetHash() :
+ PickValue(fuzzed_data_provider, outpoints_rbf).hash;
+ const auto delta = fuzzed_data_provider.ConsumeIntegralInRange<CAmount>(-50 * COIN, +50 * COIN);
+ tx_pool.PrioritiseTransaction(txid, delta);
+ }
+
+ // Remember all removed and added transactions
+ std::set<CTransactionRef> removed;
+ std::set<CTransactionRef> added;
+ auto txr = std::make_shared<TransactionsDelta>(removed, added);
+ RegisterSharedValidationInterface(txr);
+ const bool bypass_limits = fuzzed_data_provider.ConsumeBool();
+ ::fRequireStandard = fuzzed_data_provider.ConsumeBool();
+
+ // Make sure ProcessNewPackage on one transaction works and always fully validates the transaction.
+ // The result is not guaranteed to be the same as what is returned by ATMP.
+ const auto result_package = WITH_LOCK(::cs_main,
+ return ProcessNewPackage(chainstate, tx_pool, {tx}, true));
+ auto it = result_package.m_tx_results.find(tx->GetWitnessHash());
+ Assert(it != result_package.m_tx_results.end());
+ Assert(it->second.m_result_type == MempoolAcceptResult::ResultType::VALID ||
+ it->second.m_result_type == MempoolAcceptResult::ResultType::INVALID);
+
+ const auto res = WITH_LOCK(::cs_main, return AcceptToMemoryPool(chainstate, tx, GetTime(), bypass_limits, /*test_accept=*/false));
+ const bool accepted = res.m_result_type == MempoolAcceptResult::ResultType::VALID;
+ SyncWithValidationInterfaceQueue();
+ UnregisterSharedValidationInterface(txr);
+
+ Assert(accepted != added.empty());
+ Assert(accepted == res.m_state.IsValid());
+ Assert(accepted != res.m_state.IsInvalid());
+ if (accepted) {
+ Assert(added.size() == 1); // For now, no package acceptance
+ Assert(tx == *added.begin());
+ } else {
+ // Do not consider rejected transaction removed
+ removed.erase(tx);
+ }
+
+ // Helper to insert spent and created outpoints of a tx into collections
+ using Sets = std::vector<std::reference_wrapper<std::set<COutPoint>>>;
+ const auto insert_tx = [](Sets created_by_tx, Sets consumed_by_tx, const auto& tx) {
+ for (size_t i{0}; i < tx.vout.size(); ++i) {
+ for (auto& set : created_by_tx) {
+ Assert(set.get().emplace(tx.GetHash(), i).second);
+ }
+ }
+ for (const auto& in : tx.vin) {
+ for (auto& set : consumed_by_tx) {
+ Assert(set.get().insert(in.prevout).second);
+ }
+ }
+ };
+ // Add created outpoints, remove spent outpoints
+ {
+ // Outpoints that no longer exist at all
+ std::set<COutPoint> consumed_erased;
+ // Outpoints that no longer count toward the total supply
+ std::set<COutPoint> consumed_supply;
+ for (const auto& removed_tx : removed) {
+ insert_tx(/*created_by_tx=*/{consumed_erased}, /*consumed_by_tx=*/{outpoints_supply}, /*tx=*/*removed_tx);
+ }
+ for (const auto& added_tx : added) {
+ insert_tx(/*created_by_tx=*/{outpoints_supply, outpoints_rbf}, /*consumed_by_tx=*/{consumed_supply}, /*tx=*/*added_tx);
+ }
+ for (const auto& p : consumed_erased) {
+ Assert(outpoints_supply.erase(p) == 1);
+ Assert(outpoints_rbf.erase(p) == 1);
+ }
+ for (const auto& p : consumed_supply) {
+ Assert(outpoints_supply.erase(p) == 1);
+ }
+ }
+ }
+ Finish(fuzzed_data_provider, tx_pool, chainstate);
+}
+
+FUZZ_TARGET_INIT(tx_pool, initialize_tx_pool)
+{
+ FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
+ const auto& node = g_setup->m_node;
+ auto& chainstate = node.chainman->ActiveChainstate();
+
+ MockTime(fuzzed_data_provider, chainstate);
+ SetMempoolConstraints(*node.args, fuzzed_data_provider);
+
+ std::vector<uint256> txids;
+ for (const auto& outpoint : g_outpoints_coinbase_init_mature) {
+ txids.push_back(outpoint.hash);
+ }
+ for (int i{0}; i <= 3; ++i) {
+ // Add some immature and non-existent outpoints
+ txids.push_back(g_outpoints_coinbase_init_immature.at(i).hash);
+ txids.push_back(ConsumeUInt256(fuzzed_data_provider));
+ }
+
+ CTxMemPool tx_pool_{/*estimator=*/nullptr, /*check_ratio=*/1};
+ MockedTxPool& tx_pool = *static_cast<MockedTxPool*>(&tx_pool_);
+
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 300)
+ {
+ const auto mut_tx = ConsumeTransaction(fuzzed_data_provider, txids);
+
+ if (fuzzed_data_provider.ConsumeBool()) {
+ MockTime(fuzzed_data_provider, chainstate);
+ }
+ if (fuzzed_data_provider.ConsumeBool()) {
+ SetMempoolConstraints(*node.args, fuzzed_data_provider);
+ }
+ if (fuzzed_data_provider.ConsumeBool()) {
+ tx_pool.RollingFeeUpdate();
+ }
+ if (fuzzed_data_provider.ConsumeBool()) {
+ const auto& txid = fuzzed_data_provider.ConsumeBool() ?
+ mut_tx.GetHash() :
+ PickValue(fuzzed_data_provider, txids);
+ const auto delta = fuzzed_data_provider.ConsumeIntegralInRange<CAmount>(-50 * COIN, +50 * COIN);
+ tx_pool.PrioritiseTransaction(txid, delta);
+ }
+
+ const auto tx = MakeTransactionRef(mut_tx);
+ const bool bypass_limits = fuzzed_data_provider.ConsumeBool();
+ ::fRequireStandard = fuzzed_data_provider.ConsumeBool();
+ const auto res = WITH_LOCK(::cs_main, return AcceptToMemoryPool(chainstate, tx, GetTime(), bypass_limits, /*test_accept=*/false));
+ const bool accepted = res.m_result_type == MempoolAcceptResult::ResultType::VALID;
+ if (accepted) {
+ txids.push_back(tx->GetHash());
+ }
+ }
+ Finish(fuzzed_data_provider, tx_pool, chainstate);
+}
+} // namespace
diff --git a/src/test/fuzz/txrequest.cpp b/src/test/fuzz/txrequest.cpp
index 72438ff2d7..74d20f86e0 100644
--- a/src/test/fuzz/txrequest.cpp
+++ b/src/test/fuzz/txrequest.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -204,7 +204,7 @@ public:
}
// Call TxRequestTracker's implementation.
- m_tracker.ReceivedInv(peer, GenTxid{is_wtxid, TXHASHES[txhash]}, preferred, reqtime);
+ m_tracker.ReceivedInv(peer, is_wtxid ? GenTxid::Wtxid(TXHASHES[txhash]) : GenTxid::Txid(TXHASHES[txhash]), preferred, reqtime);
}
void RequestedTx(int peer, int txhash, std::chrono::microseconds exptime)
@@ -252,7 +252,7 @@ public:
for (int peer2 = 0; peer2 < MAX_PEERS; ++peer2) {
Announcement& ann2 = m_announcements[txhash][peer2];
if (ann2.m_state == State::REQUESTED && ann2.m_time <= m_now) {
- expected_expired.emplace_back(peer2, GenTxid{ann2.m_is_wtxid, TXHASHES[txhash]});
+ expected_expired.emplace_back(peer2, ann2.m_is_wtxid ? GenTxid::Wtxid(TXHASHES[txhash]) : GenTxid::Txid(TXHASHES[txhash]));
ann2.m_state = State::COMPLETED;
break;
}
diff --git a/src/test/fuzz/util.cpp b/src/test/fuzz/util.cpp
index 0a541e4186..2514636d6e 100644
--- a/src/test/fuzz/util.cpp
+++ b/src/test/fuzz/util.cpp
@@ -2,24 +2,607 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <consensus/amount.h>
+#include <net_processing.h>
+#include <netmessagemaker.h>
+#include <pubkey.h>
#include <test/fuzz/util.h>
+#include <test/util/script.h>
+#include <util/overflow.h>
+#include <util/rbf.h>
+#include <util/time.h>
#include <version.h>
-void FillNode(FuzzedDataProvider& fuzzed_data_provider, CNode& node, bool init_version) noexcept
+#include <memory>
+
+FuzzedSock::FuzzedSock(FuzzedDataProvider& fuzzed_data_provider)
+ : m_fuzzed_data_provider{fuzzed_data_provider}
+{
+ m_socket = fuzzed_data_provider.ConsumeIntegralInRange<SOCKET>(INVALID_SOCKET - 1, INVALID_SOCKET);
+}
+
+FuzzedSock::~FuzzedSock()
{
+ // Sock::~Sock() will be called after FuzzedSock::~FuzzedSock() and it will call
+ // Sock::Reset() (not FuzzedSock::Reset()!) which will call CloseSocket(m_socket).
+ // Avoid closing an arbitrary file descriptor (m_socket is just a random very high number which
+ // theoretically may concide with a real opened file descriptor).
+ Reset();
+}
+
+FuzzedSock& FuzzedSock::operator=(Sock&& other)
+{
+ assert(false && "Move of Sock into FuzzedSock not allowed.");
+ return *this;
+}
+
+void FuzzedSock::Reset()
+{
+ m_socket = INVALID_SOCKET;
+}
+
+ssize_t FuzzedSock::Send(const void* data, size_t len, int flags) const
+{
+ constexpr std::array send_errnos{
+ EACCES,
+ EAGAIN,
+ EALREADY,
+ EBADF,
+ ECONNRESET,
+ EDESTADDRREQ,
+ EFAULT,
+ EINTR,
+ EINVAL,
+ EISCONN,
+ EMSGSIZE,
+ ENOBUFS,
+ ENOMEM,
+ ENOTCONN,
+ ENOTSOCK,
+ EOPNOTSUPP,
+ EPIPE,
+ EWOULDBLOCK,
+ };
+ if (m_fuzzed_data_provider.ConsumeBool()) {
+ return len;
+ }
+ const ssize_t r = m_fuzzed_data_provider.ConsumeIntegralInRange<ssize_t>(-1, len);
+ if (r == -1) {
+ SetFuzzedErrNo(m_fuzzed_data_provider, send_errnos);
+ }
+ return r;
+}
+
+ssize_t FuzzedSock::Recv(void* buf, size_t len, int flags) const
+{
+ // Have a permanent error at recv_errnos[0] because when the fuzzed data is exhausted
+ // SetFuzzedErrNo() will always return the first element and we want to avoid Recv()
+ // returning -1 and setting errno to EAGAIN repeatedly.
+ constexpr std::array recv_errnos{
+ ECONNREFUSED,
+ EAGAIN,
+ EBADF,
+ EFAULT,
+ EINTR,
+ EINVAL,
+ ENOMEM,
+ ENOTCONN,
+ ENOTSOCK,
+ EWOULDBLOCK,
+ };
+ assert(buf != nullptr || len == 0);
+ if (len == 0 || m_fuzzed_data_provider.ConsumeBool()) {
+ const ssize_t r = m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
+ if (r == -1) {
+ SetFuzzedErrNo(m_fuzzed_data_provider, recv_errnos);
+ }
+ return r;
+ }
+ std::vector<uint8_t> random_bytes;
+ bool pad_to_len_bytes{m_fuzzed_data_provider.ConsumeBool()};
+ if (m_peek_data.has_value()) {
+ // `MSG_PEEK` was used in the preceding `Recv()` call, return `m_peek_data`.
+ random_bytes.assign({m_peek_data.value()});
+ if ((flags & MSG_PEEK) == 0) {
+ m_peek_data.reset();
+ }
+ pad_to_len_bytes = false;
+ } else if ((flags & MSG_PEEK) != 0) {
+ // New call with `MSG_PEEK`.
+ random_bytes = m_fuzzed_data_provider.ConsumeBytes<uint8_t>(1);
+ if (!random_bytes.empty()) {
+ m_peek_data = random_bytes[0];
+ pad_to_len_bytes = false;
+ }
+ } else {
+ random_bytes = m_fuzzed_data_provider.ConsumeBytes<uint8_t>(
+ m_fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, len));
+ }
+ if (random_bytes.empty()) {
+ const ssize_t r = m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
+ if (r == -1) {
+ SetFuzzedErrNo(m_fuzzed_data_provider, recv_errnos);
+ }
+ return r;
+ }
+ std::memcpy(buf, random_bytes.data(), random_bytes.size());
+ if (pad_to_len_bytes) {
+ if (len > random_bytes.size()) {
+ std::memset((char*)buf + random_bytes.size(), 0, len - random_bytes.size());
+ }
+ return len;
+ }
+ if (m_fuzzed_data_provider.ConsumeBool() && std::getenv("FUZZED_SOCKET_FAKE_LATENCY") != nullptr) {
+ std::this_thread::sleep_for(std::chrono::milliseconds{2});
+ }
+ return random_bytes.size();
+}
+
+int FuzzedSock::Connect(const sockaddr*, socklen_t) const
+{
+ // Have a permanent error at connect_errnos[0] because when the fuzzed data is exhausted
+ // SetFuzzedErrNo() will always return the first element and we want to avoid Connect()
+ // returning -1 and setting errno to EAGAIN repeatedly.
+ constexpr std::array connect_errnos{
+ ECONNREFUSED,
+ EAGAIN,
+ ECONNRESET,
+ EHOSTUNREACH,
+ EINPROGRESS,
+ EINTR,
+ ENETUNREACH,
+ ETIMEDOUT,
+ };
+ if (m_fuzzed_data_provider.ConsumeBool()) {
+ SetFuzzedErrNo(m_fuzzed_data_provider, connect_errnos);
+ return -1;
+ }
+ return 0;
+}
+
+std::unique_ptr<Sock> FuzzedSock::Accept(sockaddr* addr, socklen_t* addr_len) const
+{
+ constexpr std::array accept_errnos{
+ ECONNABORTED,
+ EINTR,
+ ENOMEM,
+ };
+ if (m_fuzzed_data_provider.ConsumeBool()) {
+ SetFuzzedErrNo(m_fuzzed_data_provider, accept_errnos);
+ return std::unique_ptr<FuzzedSock>();
+ }
+ return std::make_unique<FuzzedSock>(m_fuzzed_data_provider);
+}
+
+int FuzzedSock::GetSockOpt(int level, int opt_name, void* opt_val, socklen_t* opt_len) const
+{
+ constexpr std::array getsockopt_errnos{
+ ENOMEM,
+ ENOBUFS,
+ };
+ if (m_fuzzed_data_provider.ConsumeBool()) {
+ SetFuzzedErrNo(m_fuzzed_data_provider, getsockopt_errnos);
+ return -1;
+ }
+ if (opt_val == nullptr) {
+ return 0;
+ }
+ std::memcpy(opt_val,
+ ConsumeFixedLengthByteVector(m_fuzzed_data_provider, *opt_len).data(),
+ *opt_len);
+ return 0;
+}
+
+bool FuzzedSock::Wait(std::chrono::milliseconds timeout, Event requested, Event* occurred) const
+{
+ constexpr std::array wait_errnos{
+ EBADF,
+ EINTR,
+ EINVAL,
+ };
+ if (m_fuzzed_data_provider.ConsumeBool()) {
+ SetFuzzedErrNo(m_fuzzed_data_provider, wait_errnos);
+ return false;
+ }
+ if (occurred != nullptr) {
+ *occurred = m_fuzzed_data_provider.ConsumeBool() ? requested : 0;
+ }
+ return true;
+}
+
+bool FuzzedSock::IsConnected(std::string& errmsg) const
+{
+ if (m_fuzzed_data_provider.ConsumeBool()) {
+ return true;
+ }
+ errmsg = "disconnected at random by the fuzzer";
+ return false;
+}
+
+void FillNode(FuzzedDataProvider& fuzzed_data_provider, ConnmanTestMsg& connman, PeerManager& peerman, CNode& node) noexcept
+{
+ const bool successfully_connected{fuzzed_data_provider.ConsumeBool()};
const ServiceFlags remote_services = ConsumeWeakEnum(fuzzed_data_provider, ALL_SERVICE_FLAGS);
const NetPermissionFlags permission_flags = ConsumeWeakEnum(fuzzed_data_provider, ALL_NET_PERMISSION_FLAGS);
const int32_t version = fuzzed_data_provider.ConsumeIntegralInRange<int32_t>(MIN_PEER_PROTO_VERSION, std::numeric_limits<int32_t>::max());
const bool filter_txs = fuzzed_data_provider.ConsumeBool();
- node.nServices = remote_services;
- node.m_permissionFlags = permission_flags;
- if (init_version) {
- node.nVersion = version;
- node.SetCommonVersion(std::min(version, PROTOCOL_VERSION));
+ const CNetMsgMaker mm{0};
+
+ CSerializedNetMsg msg_version{
+ mm.Make(NetMsgType::VERSION,
+ version, //
+ Using<CustomUintFormatter<8>>(remote_services), //
+ int64_t{}, // dummy time
+ int64_t{}, // ignored service bits
+ CService{}, // dummy
+ int64_t{}, // ignored service bits
+ CService{}, // ignored
+ uint64_t{1}, // dummy nonce
+ std::string{}, // dummy subver
+ int32_t{}, // dummy starting_height
+ filter_txs),
+ };
+
+ (void)connman.ReceiveMsgFrom(node, msg_version);
+ node.fPauseSend = false;
+ connman.ProcessMessagesOnce(node);
+ {
+ LOCK(node.cs_sendProcessing);
+ peerman.SendMessages(&node);
}
+ if (node.fDisconnect) return;
+ assert(node.nVersion == version);
+ assert(node.GetCommonVersion() == std::min(version, PROTOCOL_VERSION));
+ assert(node.nServices == remote_services);
if (node.m_tx_relay != nullptr) {
LOCK(node.m_tx_relay->cs_filter);
- node.m_tx_relay->fRelayTxes = filter_txs;
+ assert(node.m_tx_relay->fRelayTxes == filter_txs);
+ }
+ node.m_permissionFlags = permission_flags;
+ if (successfully_connected) {
+ CSerializedNetMsg msg_verack{mm.Make(NetMsgType::VERACK)};
+ (void)connman.ReceiveMsgFrom(node, msg_verack);
+ node.fPauseSend = false;
+ connman.ProcessMessagesOnce(node);
+ {
+ LOCK(node.cs_sendProcessing);
+ peerman.SendMessages(&node);
+ }
+ assert(node.fSuccessfullyConnected == true);
}
}
+
+CAmount ConsumeMoney(FuzzedDataProvider& fuzzed_data_provider, const std::optional<CAmount>& max) noexcept
+{
+ return fuzzed_data_provider.ConsumeIntegralInRange<CAmount>(0, max.value_or(MAX_MONEY));
+}
+
+int64_t ConsumeTime(FuzzedDataProvider& fuzzed_data_provider, const std::optional<int64_t>& min, const std::optional<int64_t>& max) noexcept
+{
+ // Avoid t=0 (1970-01-01T00:00:00Z) since SetMockTime(0) disables mocktime.
+ static const int64_t time_min{ParseISO8601DateTime("2000-01-01T00:00:01Z")};
+ static const int64_t time_max{ParseISO8601DateTime("2100-12-31T23:59:59Z")};
+ return fuzzed_data_provider.ConsumeIntegralInRange<int64_t>(min.value_or(time_min), max.value_or(time_max));
+}
+
+CMutableTransaction ConsumeTransaction(FuzzedDataProvider& fuzzed_data_provider, const std::optional<std::vector<uint256>>& prevout_txids, const int max_num_in, const int max_num_out) noexcept
+{
+ CMutableTransaction tx_mut;
+ const auto p2wsh_op_true = fuzzed_data_provider.ConsumeBool();
+ tx_mut.nVersion = fuzzed_data_provider.ConsumeBool() ?
+ CTransaction::CURRENT_VERSION :
+ fuzzed_data_provider.ConsumeIntegral<int32_t>();
+ tx_mut.nLockTime = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
+ const auto num_in = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, max_num_in);
+ const auto num_out = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, max_num_out);
+ for (int i = 0; i < num_in; ++i) {
+ const auto& txid_prev = prevout_txids ?
+ PickValue(fuzzed_data_provider, *prevout_txids) :
+ ConsumeUInt256(fuzzed_data_provider);
+ const auto index_out = fuzzed_data_provider.ConsumeIntegralInRange<uint32_t>(0, max_num_out);
+ const auto sequence = ConsumeSequence(fuzzed_data_provider);
+ const auto script_sig = p2wsh_op_true ? CScript{} : ConsumeScript(fuzzed_data_provider);
+ CScriptWitness script_wit;
+ if (p2wsh_op_true) {
+ script_wit.stack = std::vector<std::vector<uint8_t>>{WITNESS_STACK_ELEM_OP_TRUE};
+ } else {
+ script_wit = ConsumeScriptWitness(fuzzed_data_provider);
+ }
+ CTxIn in;
+ in.prevout = COutPoint{txid_prev, index_out};
+ in.nSequence = sequence;
+ in.scriptSig = script_sig;
+ in.scriptWitness = script_wit;
+
+ tx_mut.vin.push_back(in);
+ }
+ for (int i = 0; i < num_out; ++i) {
+ const auto amount = fuzzed_data_provider.ConsumeIntegralInRange<CAmount>(-10, 50 * COIN + 10);
+ const auto script_pk = p2wsh_op_true ?
+ P2WSH_OP_TRUE :
+ ConsumeScript(fuzzed_data_provider, /*maybe_p2wsh=*/true);
+ tx_mut.vout.emplace_back(amount, script_pk);
+ }
+ return tx_mut;
+}
+
+CScriptWitness ConsumeScriptWitness(FuzzedDataProvider& fuzzed_data_provider, const size_t max_stack_elem_size) noexcept
+{
+ CScriptWitness ret;
+ const auto n_elements = fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, max_stack_elem_size);
+ for (size_t i = 0; i < n_elements; ++i) {
+ ret.stack.push_back(ConsumeRandomLengthByteVector(fuzzed_data_provider));
+ }
+ return ret;
+}
+
+CScript ConsumeScript(FuzzedDataProvider& fuzzed_data_provider, const bool maybe_p2wsh) noexcept
+{
+ CScript r_script{};
+ {
+ // Keep a buffer of bytes to allow the fuzz engine to produce smaller
+ // inputs to generate CScripts with repeated data.
+ static constexpr unsigned MAX_BUFFER_SZ{128};
+ std::vector<uint8_t> buffer(MAX_BUFFER_SZ, uint8_t{'a'});
+ while (fuzzed_data_provider.ConsumeBool()) {
+ CallOneOf(
+ fuzzed_data_provider,
+ [&] {
+ // Insert byte vector directly to allow malformed or unparsable scripts
+ r_script.insert(r_script.end(), buffer.begin(), buffer.begin() + fuzzed_data_provider.ConsumeIntegralInRange(0U, MAX_BUFFER_SZ));
+ },
+ [&] {
+ // Push a byte vector from the buffer
+ r_script << std::vector<uint8_t>{buffer.begin(), buffer.begin() + fuzzed_data_provider.ConsumeIntegralInRange(0U, MAX_BUFFER_SZ)};
+ },
+ [&] {
+ // Push multisig
+ // There is a special case for this to aid the fuzz engine
+ // navigate the highly structured multisig format.
+ r_script << fuzzed_data_provider.ConsumeIntegralInRange<int64_t>(0, 22);
+ int num_data{fuzzed_data_provider.ConsumeIntegralInRange(1, 22)};
+ std::vector<uint8_t> pubkey_comp{buffer.begin(), buffer.begin() + CPubKey::COMPRESSED_SIZE};
+ pubkey_comp.front() = fuzzed_data_provider.ConsumeIntegralInRange(2, 3); // Set first byte for GetLen() to pass
+ std::vector<uint8_t> pubkey_uncomp{buffer.begin(), buffer.begin() + CPubKey::SIZE};
+ pubkey_uncomp.front() = fuzzed_data_provider.ConsumeIntegralInRange(4, 7); // Set first byte for GetLen() to pass
+ while (num_data--) {
+ auto& pubkey{fuzzed_data_provider.ConsumeBool() ? pubkey_uncomp : pubkey_comp};
+ if (fuzzed_data_provider.ConsumeBool()) {
+ pubkey.back() = num_data; // Make each pubkey different
+ }
+ r_script << pubkey;
+ }
+ r_script << fuzzed_data_provider.ConsumeIntegralInRange<int64_t>(0, 22);
+ },
+ [&] {
+ // Mutate the buffer
+ const auto vec{ConsumeRandomLengthByteVector(fuzzed_data_provider, /*max_length=*/MAX_BUFFER_SZ)};
+ std::copy(vec.begin(), vec.end(), buffer.begin());
+ },
+ [&] {
+ // Push an integral
+ r_script << fuzzed_data_provider.ConsumeIntegral<int64_t>();
+ },
+ [&] {
+ // Push an opcode
+ r_script << ConsumeOpcodeType(fuzzed_data_provider);
+ },
+ [&] {
+ // Push a scriptnum
+ r_script << ConsumeScriptNum(fuzzed_data_provider);
+ });
+ }
+ }
+ if (maybe_p2wsh && fuzzed_data_provider.ConsumeBool()) {
+ uint256 script_hash;
+ CSHA256().Write(r_script.data(), r_script.size()).Finalize(script_hash.begin());
+ r_script.clear();
+ r_script << OP_0 << ToByteVector(script_hash);
+ }
+ return r_script;
+}
+
+uint32_t ConsumeSequence(FuzzedDataProvider& fuzzed_data_provider) noexcept
+{
+ return fuzzed_data_provider.ConsumeBool() ?
+ fuzzed_data_provider.PickValueInArray({
+ CTxIn::SEQUENCE_FINAL,
+ CTxIn::MAX_SEQUENCE_NONFINAL,
+ MAX_BIP125_RBF_SEQUENCE,
+ }) :
+ fuzzed_data_provider.ConsumeIntegral<uint32_t>();
+}
+
+CTxDestination ConsumeTxDestination(FuzzedDataProvider& fuzzed_data_provider) noexcept
+{
+ CTxDestination tx_destination;
+ const size_t call_size{CallOneOf(
+ fuzzed_data_provider,
+ [&] {
+ tx_destination = CNoDestination{};
+ },
+ [&] {
+ tx_destination = PKHash{ConsumeUInt160(fuzzed_data_provider)};
+ },
+ [&] {
+ tx_destination = ScriptHash{ConsumeUInt160(fuzzed_data_provider)};
+ },
+ [&] {
+ tx_destination = WitnessV0ScriptHash{ConsumeUInt256(fuzzed_data_provider)};
+ },
+ [&] {
+ tx_destination = WitnessV0KeyHash{ConsumeUInt160(fuzzed_data_provider)};
+ },
+ [&] {
+ tx_destination = WitnessV1Taproot{XOnlyPubKey{ConsumeUInt256(fuzzed_data_provider)}};
+ },
+ [&] {
+ WitnessUnknown witness_unknown{};
+ witness_unknown.version = fuzzed_data_provider.ConsumeIntegralInRange(2, 16);
+ std::vector<uint8_t> witness_unknown_program_1{fuzzed_data_provider.ConsumeBytes<uint8_t>(40)};
+ if (witness_unknown_program_1.size() < 2) {
+ witness_unknown_program_1 = {0, 0};
+ }
+ witness_unknown.length = witness_unknown_program_1.size();
+ std::copy(witness_unknown_program_1.begin(), witness_unknown_program_1.end(), witness_unknown.program);
+ tx_destination = witness_unknown;
+ })};
+ Assert(call_size == std::variant_size_v<CTxDestination>);
+ return tx_destination;
+}
+
+CTxMemPoolEntry ConsumeTxMemPoolEntry(FuzzedDataProvider& fuzzed_data_provider, const CTransaction& tx) noexcept
+{
+ // Avoid:
+ // policy/feerate.cpp:28:34: runtime error: signed integer overflow: 34873208148477500 * 1000 cannot be represented in type 'long'
+ //
+ // Reproduce using CFeeRate(348732081484775, 10).GetFeePerK()
+ const CAmount fee = std::min<CAmount>(ConsumeMoney(fuzzed_data_provider), std::numeric_limits<CAmount>::max() / static_cast<CAmount>(100000));
+ assert(MoneyRange(fee));
+ const int64_t time = fuzzed_data_provider.ConsumeIntegral<int64_t>();
+ const unsigned int entry_height = fuzzed_data_provider.ConsumeIntegral<unsigned int>();
+ const bool spends_coinbase = fuzzed_data_provider.ConsumeBool();
+ const unsigned int sig_op_cost = fuzzed_data_provider.ConsumeIntegralInRange<unsigned int>(0, MAX_BLOCK_SIGOPS_COST);
+ return CTxMemPoolEntry{MakeTransactionRef(tx), fee, time, entry_height, spends_coinbase, sig_op_cost, {}};
+}
+
+bool ContainsSpentInput(const CTransaction& tx, const CCoinsViewCache& inputs) noexcept
+{
+ for (const CTxIn& tx_in : tx.vin) {
+ const Coin& coin = inputs.AccessCoin(tx_in.prevout);
+ if (coin.IsSpent()) {
+ return true;
+ }
+ }
+ return false;
+}
+
+CNetAddr ConsumeNetAddr(FuzzedDataProvider& fuzzed_data_provider) noexcept
+{
+ const Network network = fuzzed_data_provider.PickValueInArray({Network::NET_IPV4, Network::NET_IPV6, Network::NET_INTERNAL, Network::NET_ONION});
+ CNetAddr net_addr;
+ if (network == Network::NET_IPV4) {
+ in_addr v4_addr = {};
+ v4_addr.s_addr = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
+ net_addr = CNetAddr{v4_addr};
+ } else if (network == Network::NET_IPV6) {
+ if (fuzzed_data_provider.remaining_bytes() >= 16) {
+ in6_addr v6_addr = {};
+ memcpy(v6_addr.s6_addr, fuzzed_data_provider.ConsumeBytes<uint8_t>(16).data(), 16);
+ net_addr = CNetAddr{v6_addr, fuzzed_data_provider.ConsumeIntegral<uint32_t>()};
+ }
+ } else if (network == Network::NET_INTERNAL) {
+ net_addr.SetInternal(fuzzed_data_provider.ConsumeBytesAsString(32));
+ } else if (network == Network::NET_ONION) {
+ net_addr.SetSpecial(fuzzed_data_provider.ConsumeBytesAsString(32));
+ }
+ return net_addr;
+}
+
+FILE* FuzzedFileProvider::open()
+{
+ SetFuzzedErrNo(m_fuzzed_data_provider);
+ if (m_fuzzed_data_provider.ConsumeBool()) {
+ return nullptr;
+ }
+ std::string mode;
+ CallOneOf(
+ m_fuzzed_data_provider,
+ [&] {
+ mode = "r";
+ },
+ [&] {
+ mode = "r+";
+ },
+ [&] {
+ mode = "w";
+ },
+ [&] {
+ mode = "w+";
+ },
+ [&] {
+ mode = "a";
+ },
+ [&] {
+ mode = "a+";
+ });
+#if defined _GNU_SOURCE && !defined __ANDROID__
+ const cookie_io_functions_t io_hooks = {
+ FuzzedFileProvider::read,
+ FuzzedFileProvider::write,
+ FuzzedFileProvider::seek,
+ FuzzedFileProvider::close,
+ };
+ return fopencookie(this, mode.c_str(), io_hooks);
+#else
+ (void)mode;
+ return nullptr;
+#endif
+}
+
+ssize_t FuzzedFileProvider::read(void* cookie, char* buf, size_t size)
+{
+ FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
+ SetFuzzedErrNo(fuzzed_file->m_fuzzed_data_provider);
+ if (buf == nullptr || size == 0 || fuzzed_file->m_fuzzed_data_provider.ConsumeBool()) {
+ return fuzzed_file->m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
+ }
+ const std::vector<uint8_t> random_bytes = fuzzed_file->m_fuzzed_data_provider.ConsumeBytes<uint8_t>(size);
+ if (random_bytes.empty()) {
+ return 0;
+ }
+ std::memcpy(buf, random_bytes.data(), random_bytes.size());
+ if (AdditionOverflow(fuzzed_file->m_offset, (int64_t)random_bytes.size())) {
+ return fuzzed_file->m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
+ }
+ fuzzed_file->m_offset += random_bytes.size();
+ return random_bytes.size();
+}
+
+ssize_t FuzzedFileProvider::write(void* cookie, const char* buf, size_t size)
+{
+ FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
+ SetFuzzedErrNo(fuzzed_file->m_fuzzed_data_provider);
+ const ssize_t n = fuzzed_file->m_fuzzed_data_provider.ConsumeIntegralInRange<ssize_t>(0, size);
+ if (AdditionOverflow(fuzzed_file->m_offset, (int64_t)n)) {
+ return fuzzed_file->m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
+ }
+ fuzzed_file->m_offset += n;
+ return n;
+}
+
+int FuzzedFileProvider::seek(void* cookie, int64_t* offset, int whence)
+{
+ assert(whence == SEEK_SET || whence == SEEK_CUR || whence == SEEK_END);
+ FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
+ SetFuzzedErrNo(fuzzed_file->m_fuzzed_data_provider);
+ int64_t new_offset = 0;
+ if (whence == SEEK_SET) {
+ new_offset = *offset;
+ } else if (whence == SEEK_CUR) {
+ if (AdditionOverflow(fuzzed_file->m_offset, *offset)) {
+ return -1;
+ }
+ new_offset = fuzzed_file->m_offset + *offset;
+ } else if (whence == SEEK_END) {
+ const int64_t n = fuzzed_file->m_fuzzed_data_provider.ConsumeIntegralInRange<int64_t>(0, 4096);
+ if (AdditionOverflow(n, *offset)) {
+ return -1;
+ }
+ new_offset = n + *offset;
+ }
+ if (new_offset < 0) {
+ return -1;
+ }
+ fuzzed_file->m_offset = new_offset;
+ *offset = new_offset;
+ return fuzzed_file->m_fuzzed_data_provider.ConsumeIntegralInRange<int>(-1, 0);
+}
+
+int FuzzedFileProvider::close(void* cookie)
+{
+ FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
+ SetFuzzedErrNo(fuzzed_file->m_fuzzed_data_provider);
+ return fuzzed_file->m_fuzzed_data_provider.ConsumeIntegralInRange<int>(-1, 0);
+}
diff --git a/src/test/fuzz/util.h b/src/test/fuzz/util.h
index f2d43032f4..6c91844633 100644
--- a/src/test/fuzz/util.h
+++ b/src/test/fuzz/util.h
@@ -5,12 +5,12 @@
#ifndef BITCOIN_TEST_FUZZ_UTIL_H
#define BITCOIN_TEST_FUZZ_UTIL_H
-#include <amount.h>
#include <arith_uint256.h>
#include <attributes.h>
#include <chainparamsbase.h>
#include <coins.h>
#include <compat.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
#include <merkleblock.h>
#include <net.h>
@@ -26,7 +26,6 @@
#include <test/util/net.h>
#include <txmempool.h>
#include <uint256.h>
-#include <util/time.h>
#include <version.h>
#include <algorithm>
@@ -37,29 +36,84 @@
#include <string>
#include <vector>
+class PeerManager;
+
+class FuzzedSock : public Sock
+{
+ FuzzedDataProvider& m_fuzzed_data_provider;
+
+ /**
+ * Data to return when `MSG_PEEK` is used as a `Recv()` flag.
+ * If `MSG_PEEK` is used, then our `Recv()` returns some random data as usual, but on the next
+ * `Recv()` call we must return the same data, thus we remember it here.
+ */
+ mutable std::optional<uint8_t> m_peek_data;
+
+public:
+ explicit FuzzedSock(FuzzedDataProvider& fuzzed_data_provider);
+
+ ~FuzzedSock() override;
+
+ FuzzedSock& operator=(Sock&& other) override;
+
+ void Reset() override;
+
+ ssize_t Send(const void* data, size_t len, int flags) const override;
+
+ ssize_t Recv(void* buf, size_t len, int flags) const override;
+
+ int Connect(const sockaddr*, socklen_t) const override;
+
+ std::unique_ptr<Sock> Accept(sockaddr* addr, socklen_t* addr_len) const override;
+
+ int GetSockOpt(int level, int opt_name, void* opt_val, socklen_t* opt_len) const override;
+
+ bool Wait(std::chrono::milliseconds timeout, Event requested, Event* occurred = nullptr) const override;
+
+ bool IsConnected(std::string& errmsg) const override;
+};
+
+[[nodiscard]] inline FuzzedSock ConsumeSock(FuzzedDataProvider& fuzzed_data_provider)
+{
+ return FuzzedSock{fuzzed_data_provider};
+}
+
template <typename... Callables>
-void CallOneOf(FuzzedDataProvider& fuzzed_data_provider, Callables... callables)
+size_t CallOneOf(FuzzedDataProvider& fuzzed_data_provider, Callables... callables)
{
constexpr size_t call_size{sizeof...(callables)};
static_assert(call_size >= 1);
const size_t call_index{fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, call_size - 1)};
size_t i{0};
- return ((i++ == call_index ? callables() : void()), ...);
+ ((i++ == call_index ? callables() : void()), ...);
+ return call_size;
+}
+
+template <typename Collection>
+auto& PickValue(FuzzedDataProvider& fuzzed_data_provider, Collection& col)
+{
+ const auto sz = col.size();
+ assert(sz >= 1);
+ auto it = col.begin();
+ std::advance(it, fuzzed_data_provider.ConsumeIntegralInRange<decltype(sz)>(0, sz - 1));
+ return *it;
}
-[[nodiscard]] inline std::vector<uint8_t> ConsumeRandomLengthByteVector(FuzzedDataProvider& fuzzed_data_provider, const size_t max_length = 4096) noexcept
+[[nodiscard]] inline std::vector<uint8_t> ConsumeRandomLengthByteVector(FuzzedDataProvider& fuzzed_data_provider, const std::optional<size_t>& max_length = std::nullopt) noexcept
{
- const std::string s = fuzzed_data_provider.ConsumeRandomLengthString(max_length);
+ const std::string s = max_length ?
+ fuzzed_data_provider.ConsumeRandomLengthString(*max_length) :
+ fuzzed_data_provider.ConsumeRandomLengthString();
return {s.begin(), s.end()};
}
-[[nodiscard]] inline std::vector<bool> ConsumeRandomLengthBitVector(FuzzedDataProvider& fuzzed_data_provider, const size_t max_length = 4096) noexcept
+[[nodiscard]] inline std::vector<bool> ConsumeRandomLengthBitVector(FuzzedDataProvider& fuzzed_data_provider, const std::optional<size_t>& max_length = std::nullopt) noexcept
{
return BytesToBits(ConsumeRandomLengthByteVector(fuzzed_data_provider, max_length));
}
-[[nodiscard]] inline CDataStream ConsumeDataStream(FuzzedDataProvider& fuzzed_data_provider, const size_t max_length = 4096) noexcept
+[[nodiscard]] inline CDataStream ConsumeDataStream(FuzzedDataProvider& fuzzed_data_provider, const std::optional<size_t>& max_length = std::nullopt) noexcept
{
return CDataStream{ConsumeRandomLengthByteVector(fuzzed_data_provider, max_length), SER_NETWORK, INIT_PROTO_VERSION};
}
@@ -86,7 +140,7 @@ template <typename T>
}
template <typename T>
-[[nodiscard]] inline std::optional<T> ConsumeDeserializable(FuzzedDataProvider& fuzzed_data_provider, const size_t max_length = 4096) noexcept
+[[nodiscard]] inline std::optional<T> ConsumeDeserializable(FuzzedDataProvider& fuzzed_data_provider, const std::optional<size_t>& max_length = std::nullopt) noexcept
{
const std::vector<uint8_t> buffer = ConsumeRandomLengthByteVector(fuzzed_data_provider, max_length);
CDataStream ds{buffer, SER_NETWORK, INIT_PROTO_VERSION};
@@ -112,24 +166,17 @@ template <typename WeakEnumType, size_t size>
return static_cast<opcodetype>(fuzzed_data_provider.ConsumeIntegralInRange<uint32_t>(0, MAX_OPCODE));
}
-[[nodiscard]] inline CAmount ConsumeMoney(FuzzedDataProvider& fuzzed_data_provider) noexcept
-{
- return fuzzed_data_provider.ConsumeIntegralInRange<CAmount>(0, MAX_MONEY);
-}
+[[nodiscard]] CAmount ConsumeMoney(FuzzedDataProvider& fuzzed_data_provider, const std::optional<CAmount>& max = std::nullopt) noexcept;
-[[nodiscard]] inline int64_t ConsumeTime(FuzzedDataProvider& fuzzed_data_provider) noexcept
-{
- // Avoid t=0 (1970-01-01T00:00:00Z) since SetMockTime(0) is a no-op.
- static const int64_t time_min = ParseISO8601DateTime("1970-01-01T00:00:01Z");
- static const int64_t time_max = ParseISO8601DateTime("9999-12-31T23:59:59Z");
- return fuzzed_data_provider.ConsumeIntegralInRange<int64_t>(time_min, time_max);
-}
+[[nodiscard]] int64_t ConsumeTime(FuzzedDataProvider& fuzzed_data_provider, const std::optional<int64_t>& min = std::nullopt, const std::optional<int64_t>& max = std::nullopt) noexcept;
-[[nodiscard]] inline CScript ConsumeScript(FuzzedDataProvider& fuzzed_data_provider) noexcept
-{
- const std::vector<uint8_t> b = ConsumeRandomLengthByteVector(fuzzed_data_provider);
- return {b.begin(), b.end()};
-}
+[[nodiscard]] CMutableTransaction ConsumeTransaction(FuzzedDataProvider& fuzzed_data_provider, const std::optional<std::vector<uint256>>& prevout_txids, const int max_num_in = 10, const int max_num_out = 10) noexcept;
+
+[[nodiscard]] CScriptWitness ConsumeScriptWitness(FuzzedDataProvider& fuzzed_data_provider, const size_t max_stack_elem_size = 32) noexcept;
+
+[[nodiscard]] CScript ConsumeScript(FuzzedDataProvider& fuzzed_data_provider, const bool maybe_p2wsh = false) noexcept;
+
+[[nodiscard]] uint32_t ConsumeSequence(FuzzedDataProvider& fuzzed_data_provider) noexcept;
[[nodiscard]] inline CScriptNum ConsumeScriptNum(FuzzedDataProvider& fuzzed_data_provider) noexcept
{
@@ -159,51 +206,9 @@ template <typename WeakEnumType, size_t size>
return UintToArith256(ConsumeUInt256(fuzzed_data_provider));
}
-[[nodiscard]] inline CTxMemPoolEntry ConsumeTxMemPoolEntry(FuzzedDataProvider& fuzzed_data_provider, const CTransaction& tx) noexcept
-{
- // Avoid:
- // policy/feerate.cpp:28:34: runtime error: signed integer overflow: 34873208148477500 * 1000 cannot be represented in type 'long'
- //
- // Reproduce using CFeeRate(348732081484775, 10).GetFeePerK()
- const CAmount fee = std::min<CAmount>(ConsumeMoney(fuzzed_data_provider), std::numeric_limits<CAmount>::max() / static_cast<CAmount>(100000));
- assert(MoneyRange(fee));
- const int64_t time = fuzzed_data_provider.ConsumeIntegral<int64_t>();
- const unsigned int entry_height = fuzzed_data_provider.ConsumeIntegral<unsigned int>();
- const bool spends_coinbase = fuzzed_data_provider.ConsumeBool();
- const unsigned int sig_op_cost = fuzzed_data_provider.ConsumeIntegralInRange<unsigned int>(0, MAX_BLOCK_SIGOPS_COST);
- return CTxMemPoolEntry{MakeTransactionRef(tx), fee, time, entry_height, spends_coinbase, sig_op_cost, {}};
-}
+[[nodiscard]] CTxMemPoolEntry ConsumeTxMemPoolEntry(FuzzedDataProvider& fuzzed_data_provider, const CTransaction& tx) noexcept;
-[[nodiscard]] inline CTxDestination ConsumeTxDestination(FuzzedDataProvider& fuzzed_data_provider) noexcept
-{
- CTxDestination tx_destination;
- CallOneOf(
- fuzzed_data_provider,
- [&] {
- tx_destination = CNoDestination{};
- },
- [&] {
- tx_destination = PKHash{ConsumeUInt160(fuzzed_data_provider)};
- },
- [&] {
- tx_destination = ScriptHash{ConsumeUInt160(fuzzed_data_provider)};
- },
- [&] {
- tx_destination = WitnessV0ScriptHash{ConsumeUInt256(fuzzed_data_provider)};
- },
- [&] {
- tx_destination = WitnessV0KeyHash{ConsumeUInt160(fuzzed_data_provider)};
- },
- [&] {
- WitnessUnknown witness_unknown{};
- witness_unknown.version = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
- const std::vector<uint8_t> witness_unknown_program_1 = fuzzed_data_provider.ConsumeBytes<uint8_t>(40);
- witness_unknown.length = witness_unknown_program_1.size();
- std::copy(witness_unknown_program_1.begin(), witness_unknown_program_1.end(), witness_unknown.program);
- tx_destination = witness_unknown;
- });
- return tx_destination;
-}
+[[nodiscard]] CTxDestination ConsumeTxDestination(FuzzedDataProvider& fuzzed_data_provider) noexcept;
template <typename T>
[[nodiscard]] bool MultiplicationOverflow(const T i, const T j) noexcept
@@ -228,27 +233,7 @@ template <typename T>
}
}
-template <class T>
-[[nodiscard]] bool AdditionOverflow(const T i, const T j) noexcept
-{
- static_assert(std::is_integral<T>::value, "Integral required.");
- if (std::numeric_limits<T>::is_signed) {
- return (i > 0 && j > std::numeric_limits<T>::max() - i) ||
- (i < 0 && j < std::numeric_limits<T>::min() - i);
- }
- return std::numeric_limits<T>::max() - i < j;
-}
-
-[[nodiscard]] inline bool ContainsSpentInput(const CTransaction& tx, const CCoinsViewCache& inputs) noexcept
-{
- for (const CTxIn& tx_in : tx.vin) {
- const Coin& coin = inputs.AccessCoin(tx_in.prevout);
- if (coin.IsSpent()) {
- return true;
- }
- }
- return false;
-}
+[[nodiscard]] bool ContainsSpentInput(const CTransaction& tx, const CCoinsViewCache& inputs) noexcept;
/**
* Sets errno to a value selected from the given std::array `errnos`.
@@ -259,6 +244,16 @@ void SetFuzzedErrNo(FuzzedDataProvider& fuzzed_data_provider, const std::array<T
errno = fuzzed_data_provider.PickValueInArray(errnos);
}
+/*
+ * Sets a fuzzed errno in the range [0, 133 (EHWPOISON)]. Can be used from functions emulating
+ * standard library functions that set errno, or in other contexts where the value of errno
+ * might be relevant for the execution path that will be taken.
+ */
+inline void SetFuzzedErrNo(FuzzedDataProvider& fuzzed_data_provider) noexcept
+{
+ errno = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, 133);
+}
+
/**
* Returns a byte vector of specified size regardless of the number of remaining bytes available
* from the fuzzer. Pads with zero value bytes if needed to achieve the specified size.
@@ -273,27 +268,7 @@ void SetFuzzedErrNo(FuzzedDataProvider& fuzzed_data_provider, const std::array<T
return result;
}
-inline CNetAddr ConsumeNetAddr(FuzzedDataProvider& fuzzed_data_provider) noexcept
-{
- const Network network = fuzzed_data_provider.PickValueInArray({Network::NET_IPV4, Network::NET_IPV6, Network::NET_INTERNAL, Network::NET_ONION});
- CNetAddr net_addr;
- if (network == Network::NET_IPV4) {
- in_addr v4_addr = {};
- v4_addr.s_addr = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
- net_addr = CNetAddr{v4_addr};
- } else if (network == Network::NET_IPV6) {
- if (fuzzed_data_provider.remaining_bytes() >= 16) {
- in6_addr v6_addr = {};
- memcpy(v6_addr.s6_addr, fuzzed_data_provider.ConsumeBytes<uint8_t>(16).data(), 16);
- net_addr = CNetAddr{v6_addr, fuzzed_data_provider.ConsumeIntegral<uint32_t>()};
- }
- } else if (network == Network::NET_INTERNAL) {
- net_addr.SetInternal(fuzzed_data_provider.ConsumeBytesAsString(32));
- } else if (network == Network::NET_ONION) {
- net_addr.SetSpecial(fuzzed_data_provider.ConsumeBytesAsString(32));
- }
- return net_addr;
-}
+CNetAddr ConsumeNetAddr(FuzzedDataProvider& fuzzed_data_provider) noexcept;
inline CSubNet ConsumeSubNet(FuzzedDataProvider& fuzzed_data_provider) noexcept
{
@@ -313,9 +288,9 @@ inline CAddress ConsumeAddress(FuzzedDataProvider& fuzzed_data_provider) noexcep
template <bool ReturnUniquePtr = false>
auto ConsumeNode(FuzzedDataProvider& fuzzed_data_provider, const std::optional<NodeId>& node_id_in = std::nullopt) noexcept
{
- const NodeId node_id = node_id_in.value_or(fuzzed_data_provider.ConsumeIntegral<NodeId>());
+ const NodeId node_id = node_id_in.value_or(fuzzed_data_provider.ConsumeIntegralInRange<NodeId>(0, std::numeric_limits<NodeId>::max()));
const ServiceFlags local_services = ConsumeWeakEnum(fuzzed_data_provider, ALL_SERVICE_FLAGS);
- const SOCKET socket = INVALID_SOCKET;
+ const auto sock = std::make_shared<FuzzedSock>(fuzzed_data_provider);
const CAddress address = ConsumeAddress(fuzzed_data_provider);
const uint64_t keyed_net_group = fuzzed_data_provider.ConsumeIntegral<uint64_t>();
const uint64_t local_host_nonce = fuzzed_data_provider.ConsumeIntegral<uint64_t>();
@@ -324,14 +299,32 @@ auto ConsumeNode(FuzzedDataProvider& fuzzed_data_provider, const std::optional<N
const ConnectionType conn_type = fuzzed_data_provider.PickValueInArray(ALL_CONNECTION_TYPES);
const bool inbound_onion{conn_type == ConnectionType::INBOUND ? fuzzed_data_provider.ConsumeBool() : false};
if constexpr (ReturnUniquePtr) {
- return std::make_unique<CNode>(node_id, local_services, socket, address, keyed_net_group, local_host_nonce, addr_bind, addr_name, conn_type, inbound_onion);
+ return std::make_unique<CNode>(node_id,
+ local_services,
+ sock,
+ address,
+ keyed_net_group,
+ local_host_nonce,
+ addr_bind,
+ addr_name,
+ conn_type,
+ inbound_onion);
} else {
- return CNode{node_id, local_services, socket, address, keyed_net_group, local_host_nonce, addr_bind, addr_name, conn_type, inbound_onion};
+ return CNode{node_id,
+ local_services,
+ sock,
+ address,
+ keyed_net_group,
+ local_host_nonce,
+ addr_bind,
+ addr_name,
+ conn_type,
+ inbound_onion};
}
}
inline std::unique_ptr<CNode> ConsumeNodeAsUniquePtr(FuzzedDataProvider& fdp, const std::optional<NodeId>& node_id_in = std::nullopt) { return ConsumeNode<true>(fdp, node_id_in); }
-void FillNode(FuzzedDataProvider& fuzzed_data_provider, CNode& node, bool init_version) noexcept;
+void FillNode(FuzzedDataProvider& fuzzed_data_provider, ConnmanTestMsg& connman, PeerManager& peerman, CNode& node) noexcept;
class FuzzedFileProvider
{
@@ -343,101 +336,15 @@ public:
{
}
- FILE* open()
- {
- if (m_fuzzed_data_provider.ConsumeBool()) {
- return nullptr;
- }
- std::string mode;
- CallOneOf(
- m_fuzzed_data_provider,
- [&] {
- mode = "r";
- },
- [&] {
- mode = "r+";
- },
- [&] {
- mode = "w";
- },
- [&] {
- mode = "w+";
- },
- [&] {
- mode = "a";
- },
- [&] {
- mode = "a+";
- });
-#ifdef _GNU_SOURCE
- const cookie_io_functions_t io_hooks = {
- FuzzedFileProvider::read,
- FuzzedFileProvider::write,
- FuzzedFileProvider::seek,
- FuzzedFileProvider::close,
- };
- return fopencookie(this, mode.c_str(), io_hooks);
-#else
- (void)mode;
- return nullptr;
-#endif
- }
+ FILE* open();
- static ssize_t read(void* cookie, char* buf, size_t size)
- {
- FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
- if (buf == nullptr || size == 0 || fuzzed_file->m_fuzzed_data_provider.ConsumeBool()) {
- return fuzzed_file->m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
- }
- const std::vector<uint8_t> random_bytes = fuzzed_file->m_fuzzed_data_provider.ConsumeBytes<uint8_t>(size);
- if (random_bytes.empty()) {
- return 0;
- }
- std::memcpy(buf, random_bytes.data(), random_bytes.size());
- if (AdditionOverflow(fuzzed_file->m_offset, (int64_t)random_bytes.size())) {
- return fuzzed_file->m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
- }
- fuzzed_file->m_offset += random_bytes.size();
- return random_bytes.size();
- }
+ static ssize_t read(void* cookie, char* buf, size_t size);
- static ssize_t write(void* cookie, const char* buf, size_t size)
- {
- FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
- const ssize_t n = fuzzed_file->m_fuzzed_data_provider.ConsumeIntegralInRange<ssize_t>(0, size);
- if (AdditionOverflow(fuzzed_file->m_offset, (int64_t)n)) {
- return fuzzed_file->m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
- }
- fuzzed_file->m_offset += n;
- return n;
- }
+ static ssize_t write(void* cookie, const char* buf, size_t size);
- static int seek(void* cookie, int64_t* offset, int whence)
- {
- assert(whence == SEEK_SET || whence == SEEK_CUR); // SEEK_END not implemented yet.
- FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
- int64_t new_offset = 0;
- if (whence == SEEK_SET) {
- new_offset = *offset;
- } else if (whence == SEEK_CUR) {
- if (AdditionOverflow(fuzzed_file->m_offset, *offset)) {
- return -1;
- }
- new_offset = fuzzed_file->m_offset + *offset;
- }
- if (new_offset < 0) {
- return -1;
- }
- fuzzed_file->m_offset = new_offset;
- *offset = new_offset;
- return fuzzed_file->m_fuzzed_data_provider.ConsumeIntegralInRange<int>(-1, 0);
- }
+ static int seek(void* cookie, int64_t* offset, int whence);
- static int close(void* cookie)
- {
- FuzzedFileProvider* fuzzed_file = (FuzzedFileProvider*)cookie;
- return fuzzed_file->m_fuzzed_data_provider.ConsumeIntegralInRange<int>(-1, 0);
- }
+ static int close(void* cookie);
};
[[nodiscard]] inline FuzzedFileProvider ConsumeFile(FuzzedDataProvider& fuzzed_data_provider) noexcept
@@ -479,7 +386,6 @@ void WriteToStream(FuzzedDataProvider& fuzzed_data_provider, Stream& stream) noe
CallOneOf(
fuzzed_data_provider,
WRITE_TO_STREAM_CASE(bool, fuzzed_data_provider.ConsumeBool()),
- WRITE_TO_STREAM_CASE(char, fuzzed_data_provider.ConsumeIntegral<char>()),
WRITE_TO_STREAM_CASE(int8_t, fuzzed_data_provider.ConsumeIntegral<int8_t>()),
WRITE_TO_STREAM_CASE(uint8_t, fuzzed_data_provider.ConsumeIntegral<uint8_t>()),
WRITE_TO_STREAM_CASE(int16_t, fuzzed_data_provider.ConsumeIntegral<int16_t>()),
@@ -488,10 +394,8 @@ void WriteToStream(FuzzedDataProvider& fuzzed_data_provider, Stream& stream) noe
WRITE_TO_STREAM_CASE(uint32_t, fuzzed_data_provider.ConsumeIntegral<uint32_t>()),
WRITE_TO_STREAM_CASE(int64_t, fuzzed_data_provider.ConsumeIntegral<int64_t>()),
WRITE_TO_STREAM_CASE(uint64_t, fuzzed_data_provider.ConsumeIntegral<uint64_t>()),
- WRITE_TO_STREAM_CASE(float, fuzzed_data_provider.ConsumeFloatingPoint<float>()),
- WRITE_TO_STREAM_CASE(double, fuzzed_data_provider.ConsumeFloatingPoint<double>()),
WRITE_TO_STREAM_CASE(std::string, fuzzed_data_provider.ConsumeRandomLengthString(32)),
- WRITE_TO_STREAM_CASE(std::vector<char>, ConsumeRandomLengthIntegralVector<char>(fuzzed_data_provider)));
+ WRITE_TO_STREAM_CASE(std::vector<uint8_t>, ConsumeRandomLengthIntegralVector<uint8_t>(fuzzed_data_provider)));
} catch (const std::ios_base::failure&) {
break;
}
@@ -511,7 +415,6 @@ void ReadFromStream(FuzzedDataProvider& fuzzed_data_provider, Stream& stream) no
CallOneOf(
fuzzed_data_provider,
READ_FROM_STREAM_CASE(bool),
- READ_FROM_STREAM_CASE(char),
READ_FROM_STREAM_CASE(int8_t),
READ_FROM_STREAM_CASE(uint8_t),
READ_FROM_STREAM_CASE(int16_t),
@@ -520,131 +423,12 @@ void ReadFromStream(FuzzedDataProvider& fuzzed_data_provider, Stream& stream) no
READ_FROM_STREAM_CASE(uint32_t),
READ_FROM_STREAM_CASE(int64_t),
READ_FROM_STREAM_CASE(uint64_t),
- READ_FROM_STREAM_CASE(float),
- READ_FROM_STREAM_CASE(double),
READ_FROM_STREAM_CASE(std::string),
- READ_FROM_STREAM_CASE(std::vector<char>));
+ READ_FROM_STREAM_CASE(std::vector<uint8_t>));
} catch (const std::ios_base::failure&) {
break;
}
}
}
-class FuzzedSock : public Sock
-{
- FuzzedDataProvider& m_fuzzed_data_provider;
-
-public:
- explicit FuzzedSock(FuzzedDataProvider& fuzzed_data_provider) : m_fuzzed_data_provider{fuzzed_data_provider}
- {
- }
-
- ~FuzzedSock() override
- {
- }
-
- SOCKET Get() const override
- {
- assert(false && "Not implemented yet.");
- return INVALID_SOCKET;
- }
-
- SOCKET Release() override
- {
- assert(false && "Not implemented yet.");
- return INVALID_SOCKET;
- }
-
- void Reset() override
- {
- assert(false && "Not implemented yet.");
- }
-
- ssize_t Send(const void* data, size_t len, int flags) const override
- {
- constexpr std::array send_errnos{
- EACCES,
- EAGAIN,
- EALREADY,
- EBADF,
- ECONNRESET,
- EDESTADDRREQ,
- EFAULT,
- EINTR,
- EINVAL,
- EISCONN,
- EMSGSIZE,
- ENOBUFS,
- ENOMEM,
- ENOTCONN,
- ENOTSOCK,
- EOPNOTSUPP,
- EPIPE,
- EWOULDBLOCK,
- };
- if (m_fuzzed_data_provider.ConsumeBool()) {
- return len;
- }
- const ssize_t r = m_fuzzed_data_provider.ConsumeIntegralInRange<ssize_t>(-1, len);
- if (r == -1) {
- SetFuzzedErrNo(m_fuzzed_data_provider, send_errnos);
- }
- return r;
- }
-
- ssize_t Recv(void* buf, size_t len, int flags) const override
- {
- constexpr std::array recv_errnos{
- EAGAIN,
- EBADF,
- ECONNREFUSED,
- EFAULT,
- EINTR,
- EINVAL,
- ENOMEM,
- ENOTCONN,
- ENOTSOCK,
- EWOULDBLOCK,
- };
- assert(buf != nullptr || len == 0);
- if (len == 0 || m_fuzzed_data_provider.ConsumeBool()) {
- const ssize_t r = m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
- if (r == -1) {
- SetFuzzedErrNo(m_fuzzed_data_provider, recv_errnos);
- }
- return r;
- }
- const std::vector<uint8_t> random_bytes = m_fuzzed_data_provider.ConsumeBytes<uint8_t>(
- m_fuzzed_data_provider.ConsumeIntegralInRange<size_t>(0, len));
- if (random_bytes.empty()) {
- const ssize_t r = m_fuzzed_data_provider.ConsumeBool() ? 0 : -1;
- if (r == -1) {
- SetFuzzedErrNo(m_fuzzed_data_provider, recv_errnos);
- }
- return r;
- }
- std::memcpy(buf, random_bytes.data(), random_bytes.size());
- if (m_fuzzed_data_provider.ConsumeBool()) {
- if (len > random_bytes.size()) {
- std::memset((char*)buf + random_bytes.size(), 0, len - random_bytes.size());
- }
- return len;
- }
- if (m_fuzzed_data_provider.ConsumeBool() && std::getenv("FUZZED_SOCKET_FAKE_LATENCY") != nullptr) {
- std::this_thread::sleep_for(std::chrono::milliseconds{2});
- }
- return random_bytes.size();
- }
-
- bool Wait(std::chrono::milliseconds timeout, Event requested, Event* occurred = nullptr) const override
- {
- return m_fuzzed_data_provider.ConsumeBool();
- }
-};
-
-[[nodiscard]] inline FuzzedSock ConsumeSock(FuzzedDataProvider& fuzzed_data_provider)
-{
- return FuzzedSock{fuzzed_data_provider};
-}
-
#endif // BITCOIN_TEST_FUZZ_UTIL_H
diff --git a/src/test/fuzz/utxo_snapshot.cpp b/src/test/fuzz/utxo_snapshot.cpp
new file mode 100644
index 0000000000..e513f1883c
--- /dev/null
+++ b/src/test/fuzz/utxo_snapshot.cpp
@@ -0,0 +1,91 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chainparams.h>
+#include <consensus/validation.h>
+#include <fs.h>
+#include <node/utxo_snapshot.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <test/util/mining.h>
+#include <test/util/setup_common.h>
+#include <validation.h>
+#include <validationinterface.h>
+
+using node::SnapshotMetadata;
+
+namespace {
+
+const std::vector<std::shared_ptr<CBlock>>* g_chain;
+
+void initialize_chain()
+{
+ const auto params{CreateChainParams(ArgsManager{}, CBaseChainParams::REGTEST)};
+ static const auto chain{CreateBlockChain(2 * COINBASE_MATURITY, *params)};
+ g_chain = &chain;
+}
+
+FUZZ_TARGET_INIT(utxo_snapshot, initialize_chain)
+{
+ FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
+ std::unique_ptr<const TestingSetup> setup{MakeNoLogFileContext<const TestingSetup>()};
+ const auto& node = setup->m_node;
+ auto& chainman{*node.chainman};
+
+ const auto snapshot_path = gArgs.GetDataDirNet() / "fuzzed_snapshot.dat";
+
+ Assert(!chainman.SnapshotBlockhash());
+
+ {
+ CAutoFile outfile{fsbridge::fopen(snapshot_path, "wb"), SER_DISK, CLIENT_VERSION};
+ const auto file_data{ConsumeRandomLengthByteVector(fuzzed_data_provider)};
+ outfile << Span{file_data};
+ }
+
+ const auto ActivateFuzzedSnapshot{[&] {
+ CAutoFile infile{fsbridge::fopen(snapshot_path, "rb"), SER_DISK, CLIENT_VERSION};
+ SnapshotMetadata metadata;
+ try {
+ infile >> metadata;
+ } catch (const std::ios_base::failure&) {
+ return false;
+ }
+ return chainman.ActivateSnapshot(infile, metadata, /*in_memory=*/true);
+ }};
+
+ if (fuzzed_data_provider.ConsumeBool()) {
+ for (const auto& block : *g_chain) {
+ BlockValidationState dummy;
+ bool processed{chainman.ProcessNewBlockHeaders({*block}, dummy, ::Params())};
+ Assert(processed);
+ const auto* index{WITH_LOCK(::cs_main, return chainman.m_blockman.LookupBlockIndex(block->GetHash()))};
+ Assert(index);
+ }
+ }
+
+ if (ActivateFuzzedSnapshot()) {
+ LOCK(::cs_main);
+ Assert(!chainman.ActiveChainstate().m_from_snapshot_blockhash->IsNull());
+ Assert(*chainman.ActiveChainstate().m_from_snapshot_blockhash ==
+ *chainman.SnapshotBlockhash());
+ const auto& coinscache{chainman.ActiveChainstate().CoinsTip()};
+ int64_t chain_tx{};
+ for (const auto& block : *g_chain) {
+ Assert(coinscache.HaveCoin(COutPoint{block->vtx.at(0)->GetHash(), 0}));
+ const auto* index{chainman.m_blockman.LookupBlockIndex(block->GetHash())};
+ const auto num_tx{Assert(index)->nTx};
+ Assert(num_tx == 1);
+ chain_tx += num_tx;
+ }
+ Assert(g_chain->size() == coinscache.GetCacheSize());
+ Assert(chain_tx == chainman.ActiveTip()->nChainTx);
+ } else {
+ Assert(!chainman.SnapshotBlockhash());
+ Assert(!chainman.ActiveChainstate().m_from_snapshot_blockhash);
+ }
+ // Snapshot should refuse to load a second time regardless of validity
+ Assert(!ActivateFuzzedSnapshot());
+}
+} // namespace
diff --git a/src/test/fuzz/validation_load_mempool.cpp b/src/test/fuzz/validation_load_mempool.cpp
new file mode 100644
index 0000000000..c2aaf486c5
--- /dev/null
+++ b/src/test/fuzz/validation_load_mempool.cpp
@@ -0,0 +1,39 @@
+// Copyright (c) 2020 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chainparamsbase.h>
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <test/util/setup_common.h>
+#include <txmempool.h>
+#include <util/time.h>
+#include <validation.h>
+
+#include <cstdint>
+#include <vector>
+
+namespace {
+const TestingSetup* g_setup;
+} // namespace
+
+void initialize_validation_load_mempool()
+{
+ static const auto testing_setup = MakeNoLogFileContext<const TestingSetup>();
+ g_setup = testing_setup.get();
+}
+
+FUZZ_TARGET_INIT(validation_load_mempool, initialize_validation_load_mempool)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+ SetMockTime(ConsumeTime(fuzzed_data_provider));
+ FuzzedFileProvider fuzzed_file_provider = ConsumeFile(fuzzed_data_provider);
+
+ CTxMemPool pool{};
+ auto fuzzed_fopen = [&](const fs::path&, const char*) {
+ return fuzzed_file_provider.open();
+ };
+ (void)LoadMempool(pool, g_setup->m_node.chainman->ActiveChainstate(), fuzzed_fopen);
+ (void)DumpMempool(pool, fuzzed_fopen, true);
+}
diff --git a/src/test/fuzz/versionbits.cpp b/src/test/fuzz/versionbits.cpp
new file mode 100644
index 0000000000..95eb71099d
--- /dev/null
+++ b/src/test/fuzz/versionbits.cpp
@@ -0,0 +1,364 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <chain.h>
+#include <chainparams.h>
+#include <consensus/params.h>
+#include <primitives/block.h>
+#include <util/system.h>
+#include <versionbits.h>
+
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+
+#include <cstdint>
+#include <limits>
+#include <memory>
+#include <vector>
+
+namespace {
+class TestConditionChecker : public AbstractThresholdConditionChecker
+{
+private:
+ mutable ThresholdConditionCache m_cache;
+ const Consensus::Params dummy_params{};
+
+public:
+ const int64_t m_begin;
+ const int64_t m_end;
+ const int m_period;
+ const int m_threshold;
+ const int m_min_activation_height;
+ const int m_bit;
+
+ TestConditionChecker(int64_t begin, int64_t end, int period, int threshold, int min_activation_height, int bit)
+ : m_begin{begin}, m_end{end}, m_period{period}, m_threshold{threshold}, m_min_activation_height{min_activation_height}, m_bit{bit}
+ {
+ assert(m_period > 0);
+ assert(0 <= m_threshold && m_threshold <= m_period);
+ assert(0 <= m_bit && m_bit < 32 && m_bit < VERSIONBITS_NUM_BITS);
+ assert(0 <= m_min_activation_height);
+ }
+
+ bool Condition(const CBlockIndex* pindex, const Consensus::Params& params) const override { return Condition(pindex->nVersion); }
+ int64_t BeginTime(const Consensus::Params& params) const override { return m_begin; }
+ int64_t EndTime(const Consensus::Params& params) const override { return m_end; }
+ int Period(const Consensus::Params& params) const override { return m_period; }
+ int Threshold(const Consensus::Params& params) const override { return m_threshold; }
+ int MinActivationHeight(const Consensus::Params& params) const override { return m_min_activation_height; }
+
+ ThresholdState GetStateFor(const CBlockIndex* pindexPrev) const { return AbstractThresholdConditionChecker::GetStateFor(pindexPrev, dummy_params, m_cache); }
+ int GetStateSinceHeightFor(const CBlockIndex* pindexPrev) const { return AbstractThresholdConditionChecker::GetStateSinceHeightFor(pindexPrev, dummy_params, m_cache); }
+ BIP9Stats GetStateStatisticsFor(const CBlockIndex* pindex, std::vector<bool>* signals=nullptr) const { return AbstractThresholdConditionChecker::GetStateStatisticsFor(pindex, dummy_params, signals); }
+
+ bool Condition(int32_t version) const
+ {
+ uint32_t mask = ((uint32_t)1) << m_bit;
+ return (((version & VERSIONBITS_TOP_MASK) == VERSIONBITS_TOP_BITS) && (version & mask) != 0);
+ }
+
+ bool Condition(const CBlockIndex* pindex) const { return Condition(pindex->nVersion); }
+};
+
+/** Track blocks mined for test */
+class Blocks
+{
+private:
+ std::vector<std::unique_ptr<CBlockIndex>> m_blocks;
+ const uint32_t m_start_time;
+ const uint32_t m_interval;
+ const int32_t m_signal;
+ const int32_t m_no_signal;
+
+public:
+ Blocks(uint32_t start_time, uint32_t interval, int32_t signal, int32_t no_signal)
+ : m_start_time{start_time}, m_interval{interval}, m_signal{signal}, m_no_signal{no_signal} {}
+
+ size_t size() const { return m_blocks.size(); }
+
+ CBlockIndex* tip() const
+ {
+ return m_blocks.empty() ? nullptr : m_blocks.back().get();
+ }
+
+ CBlockIndex* mine_block(bool signal)
+ {
+ CBlockHeader header;
+ header.nVersion = signal ? m_signal : m_no_signal;
+ header.nTime = m_start_time + m_blocks.size() * m_interval;
+ header.nBits = 0x1d00ffff;
+
+ auto current_block = std::make_unique<CBlockIndex>(header);
+ current_block->pprev = tip();
+ current_block->nHeight = m_blocks.size();
+ current_block->BuildSkip();
+
+ return m_blocks.emplace_back(std::move(current_block)).get();
+ }
+};
+
+std::unique_ptr<const CChainParams> g_params;
+
+void initialize()
+{
+ // this is actually comparatively slow, so only do it once
+ g_params = CreateChainParams(ArgsManager{}, CBaseChainParams::MAIN);
+ assert(g_params != nullptr);
+}
+
+constexpr uint32_t MAX_START_TIME = 4102444800; // 2100-01-01
+
+FUZZ_TARGET_INIT(versionbits, initialize)
+{
+ const CChainParams& params = *g_params;
+ const int64_t interval = params.GetConsensus().nPowTargetSpacing;
+ assert(interval > 1); // need to be able to halve it
+ assert(interval < std::numeric_limits<int32_t>::max());
+
+ FuzzedDataProvider fuzzed_data_provider(buffer.data(), buffer.size());
+
+ // making period/max_periods larger slows these tests down significantly
+ const int period = 32;
+ const size_t max_periods = 16;
+ const size_t max_blocks = 2 * period * max_periods;
+
+ const int threshold = fuzzed_data_provider.ConsumeIntegralInRange(1, period);
+ assert(0 < threshold && threshold <= period); // must be able to both pass and fail threshold!
+
+ // too many blocks at 10min each might cause uint32_t time to overflow if
+ // block_start_time is at the end of the range above
+ assert(std::numeric_limits<uint32_t>::max() - MAX_START_TIME > interval * max_blocks);
+
+ const int64_t block_start_time = fuzzed_data_provider.ConsumeIntegralInRange<uint32_t>(params.GenesisBlock().nTime, MAX_START_TIME);
+
+ // what values for version will we use to signal / not signal?
+ const int32_t ver_signal = fuzzed_data_provider.ConsumeIntegral<int32_t>();
+ const int32_t ver_nosignal = fuzzed_data_provider.ConsumeIntegral<int32_t>();
+
+ // select deployment parameters: bit, start time, timeout
+ const int bit = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, VERSIONBITS_NUM_BITS - 1);
+
+ bool always_active_test = false;
+ bool never_active_test = false;
+ int64_t start_time;
+ int64_t timeout;
+ if (fuzzed_data_provider.ConsumeBool()) {
+ // pick the timestamp to switch based on a block
+ // note states will change *after* these blocks because mediantime lags
+ int start_block = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, period * (max_periods - 3));
+ int end_block = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, period * (max_periods - 3));
+
+ start_time = block_start_time + start_block * interval;
+ timeout = block_start_time + end_block * interval;
+
+ // allow for times to not exactly match a block
+ if (fuzzed_data_provider.ConsumeBool()) start_time += interval / 2;
+ if (fuzzed_data_provider.ConsumeBool()) timeout += interval / 2;
+ } else {
+ if (fuzzed_data_provider.ConsumeBool()) {
+ start_time = Consensus::BIP9Deployment::ALWAYS_ACTIVE;
+ always_active_test = true;
+ } else {
+ start_time = Consensus::BIP9Deployment::NEVER_ACTIVE;
+ never_active_test = true;
+ }
+ timeout = fuzzed_data_provider.ConsumeBool() ? Consensus::BIP9Deployment::NO_TIMEOUT : fuzzed_data_provider.ConsumeIntegral<int64_t>();
+ }
+ int min_activation = fuzzed_data_provider.ConsumeIntegralInRange<int>(0, period * max_periods);
+
+ TestConditionChecker checker(start_time, timeout, period, threshold, min_activation, bit);
+
+ // Early exit if the versions don't signal sensibly for the deployment
+ if (!checker.Condition(ver_signal)) return;
+ if (checker.Condition(ver_nosignal)) return;
+ if (ver_nosignal < 0) return;
+
+ // TOP_BITS should ensure version will be positive and meet min
+ // version requirement
+ assert(ver_signal > 0);
+ assert(ver_signal >= VERSIONBITS_LAST_OLD_BLOCK_VERSION);
+
+ // Now that we have chosen time and versions, setup to mine blocks
+ Blocks blocks(block_start_time, interval, ver_signal, ver_nosignal);
+
+ /* Strategy:
+ * * we will mine a final period worth of blocks, with
+ * randomised signalling according to a mask
+ * * but before we mine those blocks, we will mine some
+ * randomised number of prior periods; with either all
+ * or no blocks in the period signalling
+ *
+ * We establish the mask first, then consume "bools" until
+ * we run out of fuzz data to work out how many prior periods
+ * there are and which ones will signal.
+ */
+
+ // establish the mask
+ const uint32_t signalling_mask = fuzzed_data_provider.ConsumeIntegral<uint32_t>();
+
+ // mine prior periods
+ while (fuzzed_data_provider.remaining_bytes() > 0) { // early exit; no need for LIMITED_WHILE
+ // all blocks in these periods either do or don't signal
+ bool signal = fuzzed_data_provider.ConsumeBool();
+ for (int b = 0; b < period; ++b) {
+ blocks.mine_block(signal);
+ }
+
+ // don't risk exceeding max_blocks or times may wrap around
+ if (blocks.size() + 2 * period > max_blocks) break;
+ }
+ // NOTE: fuzzed_data_provider may be fully consumed at this point and should not be used further
+
+ // now we mine the final period and check that everything looks sane
+
+ // count the number of signalling blocks
+ int blocks_sig = 0;
+
+ // get the info for the first block of the period
+ CBlockIndex* prev = blocks.tip();
+ const int exp_since = checker.GetStateSinceHeightFor(prev);
+ const ThresholdState exp_state = checker.GetStateFor(prev);
+
+ // get statistics from end of previous period, then reset
+ BIP9Stats last_stats;
+ last_stats.period = period;
+ last_stats.threshold = threshold;
+ last_stats.count = last_stats.elapsed = 0;
+ last_stats.possible = (period >= threshold);
+ std::vector<bool> last_signals{};
+
+ int prev_next_height = (prev == nullptr ? 0 : prev->nHeight + 1);
+ assert(exp_since <= prev_next_height);
+
+ // mine (period-1) blocks and check state
+ for (int b = 1; b < period; ++b) {
+ const bool signal = (signalling_mask >> (b % 32)) & 1;
+ if (signal) ++blocks_sig;
+
+ CBlockIndex* current_block = blocks.mine_block(signal);
+
+ // verify that signalling attempt was interpreted correctly
+ assert(checker.Condition(current_block) == signal);
+
+ // state and since don't change within the period
+ const ThresholdState state = checker.GetStateFor(current_block);
+ const int since = checker.GetStateSinceHeightFor(current_block);
+ assert(state == exp_state);
+ assert(since == exp_since);
+
+ // check that after mining this block stats change as expected
+ std::vector<bool> signals;
+ const BIP9Stats stats = checker.GetStateStatisticsFor(current_block, &signals);
+ const BIP9Stats stats_no_signals = checker.GetStateStatisticsFor(current_block);
+ assert(stats.period == stats_no_signals.period && stats.threshold == stats_no_signals.threshold
+ && stats.elapsed == stats_no_signals.elapsed && stats.count == stats_no_signals.count
+ && stats.possible == stats_no_signals.possible);
+
+ assert(stats.period == period);
+ assert(stats.threshold == threshold);
+ assert(stats.elapsed == b);
+ assert(stats.count == last_stats.count + (signal ? 1 : 0));
+ assert(stats.possible == (stats.count + period >= stats.elapsed + threshold));
+ last_stats = stats;
+
+ assert(signals.size() == last_signals.size() + 1);
+ assert(signals.back() == signal);
+ last_signals.push_back(signal);
+ assert(signals == last_signals);
+ }
+
+ if (exp_state == ThresholdState::STARTED) {
+ // double check that stats.possible is sane
+ if (blocks_sig >= threshold - 1) assert(last_stats.possible);
+ }
+
+ // mine the final block
+ bool signal = (signalling_mask >> (period % 32)) & 1;
+ if (signal) ++blocks_sig;
+ CBlockIndex* current_block = blocks.mine_block(signal);
+ assert(checker.Condition(current_block) == signal);
+
+ const BIP9Stats stats = checker.GetStateStatisticsFor(current_block);
+ assert(stats.period == period);
+ assert(stats.threshold == threshold);
+ assert(stats.elapsed == period);
+ assert(stats.count == blocks_sig);
+ assert(stats.possible == (stats.count + period >= stats.elapsed + threshold));
+
+ // More interesting is whether the state changed.
+ const ThresholdState state = checker.GetStateFor(current_block);
+ const int since = checker.GetStateSinceHeightFor(current_block);
+
+ // since is straightforward:
+ assert(since % period == 0);
+ assert(0 <= since && since <= current_block->nHeight + 1);
+ if (state == exp_state) {
+ assert(since == exp_since);
+ } else {
+ assert(since == current_block->nHeight + 1);
+ }
+
+ // state is where everything interesting is
+ switch (state) {
+ case ThresholdState::DEFINED:
+ assert(since == 0);
+ assert(exp_state == ThresholdState::DEFINED);
+ assert(current_block->GetMedianTimePast() < checker.m_begin);
+ break;
+ case ThresholdState::STARTED:
+ assert(current_block->GetMedianTimePast() >= checker.m_begin);
+ if (exp_state == ThresholdState::STARTED) {
+ assert(blocks_sig < threshold);
+ assert(current_block->GetMedianTimePast() < checker.m_end);
+ } else {
+ assert(exp_state == ThresholdState::DEFINED);
+ }
+ break;
+ case ThresholdState::LOCKED_IN:
+ if (exp_state == ThresholdState::LOCKED_IN) {
+ assert(current_block->nHeight + 1 < min_activation);
+ } else {
+ assert(exp_state == ThresholdState::STARTED);
+ assert(blocks_sig >= threshold);
+ }
+ break;
+ case ThresholdState::ACTIVE:
+ assert(always_active_test || min_activation <= current_block->nHeight + 1);
+ assert(exp_state == ThresholdState::ACTIVE || exp_state == ThresholdState::LOCKED_IN);
+ break;
+ case ThresholdState::FAILED:
+ assert(never_active_test || current_block->GetMedianTimePast() >= checker.m_end);
+ if (exp_state == ThresholdState::STARTED) {
+ assert(blocks_sig < threshold);
+ } else {
+ assert(exp_state == ThresholdState::FAILED);
+ }
+ break;
+ default:
+ assert(false);
+ }
+
+ if (blocks.size() >= period * max_periods) {
+ // we chose the timeout (and block times) so that by the time we have this many blocks it's all over
+ assert(state == ThresholdState::ACTIVE || state == ThresholdState::FAILED);
+ }
+
+ if (always_active_test) {
+ // "always active" has additional restrictions
+ assert(state == ThresholdState::ACTIVE);
+ assert(exp_state == ThresholdState::ACTIVE);
+ assert(since == 0);
+ } else if (never_active_test) {
+ // "never active" does too
+ assert(state == ThresholdState::FAILED);
+ assert(exp_state == ThresholdState::FAILED);
+ assert(since == 0);
+ } else {
+ // for signalled deployments, the initial state is always DEFINED
+ assert(since > 0 || state == ThresholdState::DEFINED);
+ assert(exp_since > 0 || exp_state == ThresholdState::DEFINED);
+ }
+}
+} // namespace
diff --git a/src/test/getarg_tests.cpp b/src/test/getarg_tests.cpp
index 45c9b90ee9..597d774673 100644
--- a/src/test/getarg_tests.cpp
+++ b/src/test/getarg_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,6 +6,7 @@
#include <util/strencodings.h>
#include <util/system.h>
+#include <limits>
#include <string>
#include <utility>
#include <vector>
@@ -18,7 +19,7 @@ namespace getarg_tests{
protected:
void SetupArgs(const std::vector<std::pair<std::string, unsigned int>>& args);
void ResetArgs(const std::string& strArg);
- ArgsManager m_args;
+ ArgsManager m_local_args;
};
}
@@ -39,14 +40,14 @@ void LocalTestingSetup :: ResetArgs(const std::string& strArg)
vecChar.push_back(s.c_str());
std::string error;
- BOOST_CHECK(m_args.ParseParameters(vecChar.size(), vecChar.data(), error));
+ BOOST_CHECK(m_local_args.ParseParameters(vecChar.size(), vecChar.data(), error));
}
void LocalTestingSetup :: SetupArgs(const std::vector<std::pair<std::string, unsigned int>>& args)
{
- m_args.ClearArgs();
+ m_local_args.ClearArgs();
for (const auto& arg : args) {
- m_args.AddArg(arg.first, "", arg.second, OptionsCategory::OPTIONS);
+ m_local_args.AddArg(arg.first, "", arg.second, OptionsCategory::OPTIONS);
}
}
@@ -55,52 +56,52 @@ BOOST_AUTO_TEST_CASE(boolarg)
const auto foo = std::make_pair("-foo", ArgsManager::ALLOW_ANY);
SetupArgs({foo});
ResetArgs("-foo");
- BOOST_CHECK(m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", true));
- BOOST_CHECK(!m_args.GetBoolArg("-fo", false));
- BOOST_CHECK(m_args.GetBoolArg("-fo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-fo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-fo", true));
- BOOST_CHECK(!m_args.GetBoolArg("-fooo", false));
- BOOST_CHECK(m_args.GetBoolArg("-fooo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-fooo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-fooo", true));
ResetArgs("-foo=0");
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
ResetArgs("-foo=1");
- BOOST_CHECK(m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", true));
// New 0.6 feature: auto-map -nosomething to !-something:
ResetArgs("-nofoo");
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
ResetArgs("-nofoo=1");
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
ResetArgs("-foo -nofoo"); // -nofoo should win
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
ResetArgs("-foo=1 -nofoo=1"); // -nofoo should win
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
ResetArgs("-foo=0 -nofoo=0"); // -nofoo=0 should win
- BOOST_CHECK(m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", true));
// New 0.6 feature: treat -- same as -:
ResetArgs("--foo=1");
- BOOST_CHECK(m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", true));
ResetArgs("--nofoo=1");
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
}
@@ -110,24 +111,24 @@ BOOST_AUTO_TEST_CASE(stringarg)
const auto bar = std::make_pair("-bar", ArgsManager::ALLOW_ANY);
SetupArgs({foo, bar});
ResetArgs("");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", ""), "");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", "eleven"), "eleven");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", ""), "");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", "eleven"), "eleven");
ResetArgs("-foo -bar");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", ""), "");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", "eleven"), "");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", ""), "");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", "eleven"), "");
ResetArgs("-foo=");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", ""), "");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", "eleven"), "");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", ""), "");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", "eleven"), "");
ResetArgs("-foo=11");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", ""), "11");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", "eleven"), "11");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", ""), "11");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", "eleven"), "11");
ResetArgs("-foo=eleven");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", ""), "eleven");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", "eleven"), "eleven");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", ""), "eleven");
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", "eleven"), "eleven");
}
@@ -137,20 +138,117 @@ BOOST_AUTO_TEST_CASE(intarg)
const auto bar = std::make_pair("-bar", ArgsManager::ALLOW_ANY);
SetupArgs({foo, bar});
ResetArgs("");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", 11), 11);
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", 0), 0);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-foo", 11), 11);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-foo", 0), 0);
ResetArgs("-foo -bar");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", 11), 0);
- BOOST_CHECK_EQUAL(m_args.GetArg("-bar", 11), 0);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-foo", 11), 0);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-bar", 11), 0);
+
+ // Check under-/overflow behavior.
+ ResetArgs("-foo=-9223372036854775809 -bar=9223372036854775808");
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-foo", 0), std::numeric_limits<int64_t>::min());
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-bar", 0), std::numeric_limits<int64_t>::max());
ResetArgs("-foo=11 -bar=12");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", 0), 11);
- BOOST_CHECK_EQUAL(m_args.GetArg("-bar", 11), 12);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-foo", 0), 11);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-bar", 11), 12);
ResetArgs("-foo=NaN -bar=NotANumber");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", 1), 0);
- BOOST_CHECK_EQUAL(m_args.GetArg("-bar", 11), 0);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-foo", 1), 0);
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-bar", 11), 0);
+}
+
+BOOST_AUTO_TEST_CASE(patharg)
+{
+ const auto dir = std::make_pair("-dir", ArgsManager::ALLOW_ANY);
+ SetupArgs({dir});
+ ResetArgs("");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), fs::path{});
+
+ const fs::path root_path{"/"};
+ ResetArgs("-dir=/");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), root_path);
+
+ ResetArgs("-dir=/.");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), root_path);
+
+ ResetArgs("-dir=/./");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), root_path);
+
+ ResetArgs("-dir=/.//");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), root_path);
+
+#ifdef WIN32
+ const fs::path win_root_path{"C:\\"};
+ ResetArgs("-dir=C:\\");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), win_root_path);
+
+ ResetArgs("-dir=C:/");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), win_root_path);
+
+ ResetArgs("-dir=C:\\\\");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), win_root_path);
+
+ ResetArgs("-dir=C:\\.");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), win_root_path);
+
+ ResetArgs("-dir=C:\\.\\");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), win_root_path);
+
+ ResetArgs("-dir=C:\\.\\\\");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), win_root_path);
+#endif
+
+ const fs::path absolute_path{"/home/user/.bitcoin"};
+ ResetArgs("-dir=/home/user/.bitcoin");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ ResetArgs("-dir=/root/../home/user/.bitcoin");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ ResetArgs("-dir=/home/./user/.bitcoin");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ ResetArgs("-dir=/home/user/.bitcoin/");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ ResetArgs("-dir=/home/user/.bitcoin//");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ ResetArgs("-dir=/home/user/.bitcoin/.");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ ResetArgs("-dir=/home/user/.bitcoin/./");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ ResetArgs("-dir=/home/user/.bitcoin/.//");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), absolute_path);
+
+ const fs::path relative_path{"user/.bitcoin"};
+ ResetArgs("-dir=user/.bitcoin");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
+
+ ResetArgs("-dir=somewhere/../user/.bitcoin");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
+
+ ResetArgs("-dir=user/./.bitcoin");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
+
+ ResetArgs("-dir=user/.bitcoin/");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
+
+ ResetArgs("-dir=user/.bitcoin//");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
+
+ ResetArgs("-dir=user/.bitcoin/.");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
+
+ ResetArgs("-dir=user/.bitcoin/./");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
+
+ ResetArgs("-dir=user/.bitcoin/.//");
+ BOOST_CHECK_EQUAL(m_local_args.GetPathArg("-dir"), relative_path);
}
BOOST_AUTO_TEST_CASE(doubledash)
@@ -159,11 +257,11 @@ BOOST_AUTO_TEST_CASE(doubledash)
const auto bar = std::make_pair("-bar", ArgsManager::ALLOW_ANY);
SetupArgs({foo, bar});
ResetArgs("--foo");
- BOOST_CHECK_EQUAL(m_args.GetBoolArg("-foo", false), true);
+ BOOST_CHECK_EQUAL(m_local_args.GetBoolArg("-foo", false), true);
ResetArgs("--foo=verbose --bar=1");
- BOOST_CHECK_EQUAL(m_args.GetArg("-foo", ""), "verbose");
- BOOST_CHECK_EQUAL(m_args.GetArg("-bar", 0), 1);
+ BOOST_CHECK_EQUAL(m_local_args.GetArg("-foo", ""), "verbose");
+ BOOST_CHECK_EQUAL(m_local_args.GetIntArg("-bar", 0), 1);
}
BOOST_AUTO_TEST_CASE(boolargno)
@@ -172,30 +270,30 @@ BOOST_AUTO_TEST_CASE(boolargno)
const auto bar = std::make_pair("-bar", ArgsManager::ALLOW_ANY);
SetupArgs({foo, bar});
ResetArgs("-nofoo");
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
ResetArgs("-nofoo=1");
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
ResetArgs("-nofoo=0");
- BOOST_CHECK(m_args.GetBoolArg("-foo", true));
- BOOST_CHECK(m_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", false));
ResetArgs("-foo --nofoo"); // --nofoo should win
- BOOST_CHECK(!m_args.GetBoolArg("-foo", true));
- BOOST_CHECK(!m_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(!m_local_args.GetBoolArg("-foo", false));
ResetArgs("-nofoo -foo"); // foo always wins:
- BOOST_CHECK(m_args.GetBoolArg("-foo", true));
- BOOST_CHECK(m_args.GetBoolArg("-foo", false));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", true));
+ BOOST_CHECK(m_local_args.GetBoolArg("-foo", false));
}
BOOST_AUTO_TEST_CASE(logargs)
{
- const auto okaylog_bool = std::make_pair("-okaylog-bool", ArgsManager::ALLOW_BOOL);
- const auto okaylog_negbool = std::make_pair("-okaylog-negbool", ArgsManager::ALLOW_BOOL);
+ const auto okaylog_bool = std::make_pair("-okaylog-bool", ArgsManager::ALLOW_ANY);
+ const auto okaylog_negbool = std::make_pair("-okaylog-negbool", ArgsManager::ALLOW_ANY);
const auto okaylog = std::make_pair("-okaylog", ArgsManager::ALLOW_ANY);
const auto dontlog = std::make_pair("-dontlog", ArgsManager::ALLOW_ANY | ArgsManager::SENSITIVE);
SetupArgs({okaylog_bool, okaylog_negbool, okaylog, dontlog});
@@ -209,7 +307,7 @@ BOOST_AUTO_TEST_CASE(logargs)
});
// Log the arguments
- m_args.LogArgs();
+ m_local_args.LogArgs();
LogInstance().DeleteCallback(print_connection);
// Check that what should appear does, and what shouldn't doesn't.
diff --git a/src/test/hash_tests.cpp b/src/test/hash_tests.cpp
index 41a626c0ea..5b5158884a 100644
--- a/src/test/hash_tests.cpp
+++ b/src/test/hash_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2013-2020 The Bitcoin Core developers
+// Copyright (c) 2013-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,7 +10,7 @@
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(hash_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(hash_tests)
BOOST_AUTO_TEST_CASE(murmurhash3)
{
diff --git a/src/test/i2p_tests.cpp b/src/test/i2p_tests.cpp
new file mode 100644
index 0000000000..bd9ba4b8f7
--- /dev/null
+++ b/src/test/i2p_tests.cpp
@@ -0,0 +1,44 @@
+// Copyright (c) 2021-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <i2p.h>
+#include <netaddress.h>
+#include <test/util/logging.h>
+#include <test/util/net.h>
+#include <test/util/setup_common.h>
+#include <threadinterrupt.h>
+#include <util/system.h>
+
+#include <boost/test/unit_test.hpp>
+
+#include <memory>
+#include <string>
+
+BOOST_FIXTURE_TEST_SUITE(i2p_tests, BasicTestingSetup)
+
+BOOST_AUTO_TEST_CASE(unlimited_recv)
+{
+ auto CreateSockOrig = CreateSock;
+
+ // Mock CreateSock() to create MockSock.
+ CreateSock = [](const CService&) {
+ return std::make_unique<StaticContentsSock>(std::string(i2p::sam::MAX_MSG_SIZE + 1, 'a'));
+ };
+
+ CThreadInterrupt interrupt;
+ i2p::sam::Session session(gArgs.GetDataDirNet() / "test_i2p_private_key", CService{}, &interrupt);
+
+ {
+ ASSERT_DEBUG_LOG("Creating SAM session");
+ ASSERT_DEBUG_LOG("too many bytes without a terminator");
+
+ i2p::Connection conn;
+ bool proxy_error;
+ BOOST_REQUIRE(!session.Connect(CService{}, conn, proxy_error));
+ }
+
+ CreateSock = CreateSockOrig;
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/interfaces_tests.cpp b/src/test/interfaces_tests.cpp
index 73463b071e..49b7d2003b 100644
--- a/src/test/interfaces_tests.cpp
+++ b/src/test/interfaces_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -98,7 +98,7 @@ BOOST_AUTO_TEST_CASE(findCommonAncestor)
auto* orig_tip = active.Tip();
for (int i = 0; i < 10; ++i) {
BlockValidationState state;
- ChainstateActive().InvalidateBlock(state, Params(), active.Tip());
+ m_node.chainman->ActiveChainstate().InvalidateBlock(state, active.Tip());
}
BOOST_CHECK_EQUAL(active.Height(), orig_tip->nHeight - 10);
coinbaseKey.MakeNewKey(true);
@@ -123,6 +123,7 @@ BOOST_AUTO_TEST_CASE(findCommonAncestor)
BOOST_AUTO_TEST_CASE(hasBlocks)
{
+ LOCK(::cs_main);
auto& chain = m_node.chain;
const CChain& active = Assert(m_node.chainman)->ActiveChain();
diff --git a/src/test/key_io_tests.cpp b/src/test/key_io_tests.cpp
index 611e9f2623..b06157e99f 100644
--- a/src/test/key_io_tests.cpp
+++ b/src/test/key_io_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -15,7 +15,7 @@
#include <univalue.h>
-extern UniValue read_json(const std::string& jsondata);
+UniValue read_json(const std::string& jsondata);
BOOST_FIXTURE_TEST_SUITE(key_io_tests, BasicTestingSetup)
@@ -46,7 +46,7 @@ BOOST_AUTO_TEST_CASE(key_io_valid_parse)
privkey = DecodeSecret(exp_base58string);
BOOST_CHECK_MESSAGE(privkey.IsValid(), "!IsValid:" + strTest);
BOOST_CHECK_MESSAGE(privkey.IsCompressed() == isCompressed, "compressed mismatch:" + strTest);
- BOOST_CHECK_MESSAGE(privkey.size() == exp_payload.size() && std::equal(privkey.begin(), privkey.end(), exp_payload.begin()), "key mismatch:" + strTest);
+ BOOST_CHECK_MESSAGE(Span{privkey} == Span{exp_payload}, "key mismatch:" + strTest);
// Private key must be invalid public key
destination = DecodeDestination(exp_base58string);
diff --git a/src/test/key_tests.cpp b/src/test/key_tests.cpp
index cb66d5164e..61d334ab18 100644
--- a/src/test/key_tests.cpp
+++ b/src/test/key_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -300,6 +300,48 @@ BOOST_AUTO_TEST_CASE(bip340_test_vectors)
auto sig = ParseHex(test.first[2]);
BOOST_CHECK_EQUAL(XOnlyPubKey(pubkey).VerifySchnorr(uint256(msg), sig), test.second);
}
+
+ static const std::vector<std::array<std::string, 5>> SIGN_VECTORS = {
+ {{"0000000000000000000000000000000000000000000000000000000000000003", "F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000", "E907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0"}},
+ {{"B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF", "DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659", "0000000000000000000000000000000000000000000000000000000000000001", "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89", "6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A"}},
+ {{"C90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B14E5C9", "DD308AFEC5777E13121FA72B9CC1B7CC0139715309B086C960E18FD969774EB8", "C87AA53824B4D7AE2EB035A2B5BBBCCC080E76CDC6D1692C4B0B62D798E6D906", "7E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C", "5831AAEED7B44BB74E5EAB94BA9D4294C49BCF2A60728D8B4C200F50DD313C1BAB745879A5AD954A72C45A91C3A51D3C7ADEA98D82F8481E0E1E03674A6F3FB7"}},
+ {{"0B432B2677937381AEF05BB02A66ECD012773062CF3FA2549E44F58ED2401710", "25D1DFF95105F5253C4022F628A996AD3A0D95FBF21D468A1B33F8C160D8F517", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "7EB0509757E246F19449885651611CB965ECC1A187DD51B64FDA1EDC9637D5EC97582B9CB13DB3933705B32BA982AF5AF25FD78881EBB32771FC5922EFC66EA3"}},
+ };
+
+ for (const auto& [sec_hex, pub_hex, aux_hex, msg_hex, sig_hex] : SIGN_VECTORS) {
+ auto sec = ParseHex(sec_hex);
+ auto pub = ParseHex(pub_hex);
+ uint256 aux256(ParseHex(aux_hex));
+ uint256 msg256(ParseHex(msg_hex));
+ auto sig = ParseHex(sig_hex);
+ unsigned char sig64[64];
+
+ // Run the untweaked test vectors above, comparing with exact expected signature.
+ CKey key;
+ key.Set(sec.begin(), sec.end(), true);
+ XOnlyPubKey pubkey(key.GetPubKey());
+ BOOST_CHECK(std::equal(pubkey.begin(), pubkey.end(), pub.begin(), pub.end()));
+ bool ok = key.SignSchnorr(msg256, sig64, nullptr, aux256);
+ BOOST_CHECK(ok);
+ BOOST_CHECK(std::vector<unsigned char>(sig64, sig64 + 64) == sig);
+ // Verify those signatures for good measure.
+ BOOST_CHECK(pubkey.VerifySchnorr(msg256, sig64));
+
+ // Do 10 iterations where we sign with a random Merkle root to tweak,
+ // and compare against the resulting tweaked keys, with random aux.
+ // In iteration i=0 we tweak with empty Merkle tree.
+ for (int i = 0; i < 10; ++i) {
+ uint256 merkle_root;
+ if (i) merkle_root = InsecureRand256();
+ auto tweaked = pubkey.CreateTapTweak(i ? &merkle_root : nullptr);
+ BOOST_CHECK(tweaked);
+ XOnlyPubKey tweaked_key = tweaked->first;
+ aux256 = InsecureRand256();
+ bool ok = key.SignSchnorr(msg256, sig64, &merkle_root, aux256);
+ BOOST_CHECK(ok);
+ BOOST_CHECK(tweaked_key.VerifySchnorr(msg256, sig64));
+ }
+ }
}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/logging_tests.cpp b/src/test/logging_tests.cpp
index 25655b8894..cbfb6c67c3 100644
--- a/src/test/logging_tests.cpp
+++ b/src/test/logging_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,11 +14,10 @@ BOOST_FIXTURE_TEST_SUITE(logging_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(logging_timer)
{
-
SetMockTime(1);
- auto sec_timer = BCLog::Timer<std::chrono::seconds>("tests", "end_msg");
+ auto micro_timer = BCLog::Timer<std::chrono::microseconds>("tests", "end_msg");
SetMockTime(2);
- BOOST_CHECK_EQUAL(sec_timer.LogMsg("test secs"), "tests: test secs (1.00s)");
+ BOOST_CHECK_EQUAL(micro_timer.LogMsg("test micros"), "tests: test micros (1000000μs)");
SetMockTime(1);
auto ms_timer = BCLog::Timer<std::chrono::milliseconds>("tests", "end_msg");
@@ -26,11 +25,9 @@ BOOST_AUTO_TEST_CASE(logging_timer)
BOOST_CHECK_EQUAL(ms_timer.LogMsg("test ms"), "tests: test ms (1000.00ms)");
SetMockTime(1);
- auto micro_timer = BCLog::Timer<std::chrono::microseconds>("tests", "end_msg");
+ auto sec_timer = BCLog::Timer<std::chrono::seconds>("tests", "end_msg");
SetMockTime(2);
- BOOST_CHECK_EQUAL(micro_timer.LogMsg("test micros"), "tests: test micros (1000000.00μs)");
-
- SetMockTime(0);
+ BOOST_CHECK_EQUAL(sec_timer.LogMsg("test secs"), "tests: test secs (1.00s)");
}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/main.cpp b/src/test/main.cpp
index 5885564074..73bb331e21 100644
--- a/src/test/main.cpp
+++ b/src/test/main.cpp
@@ -3,14 +3,15 @@
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
/**
- * See https://www.boost.org/doc/libs/1_71_0/libs/test/doc/html/boost_test/utf_reference/link_references/link_boost_test_module_macro.html
+ * See https://www.boost.org/doc/libs/1_78_0/libs/test/doc/html/boost_test/adv_scenarios/single_header_customizations/multiple_translation_units.html
*/
#define BOOST_TEST_MODULE Bitcoin Core Test Suite
-#include <boost/test/unit_test.hpp>
+#include <boost/test/included/unit_test.hpp>
#include <test/util/setup_common.h>
+#include <functional>
#include <iostream>
/** Redirect debug log to unit_test.log files */
@@ -24,3 +25,17 @@ const std::function<void(const std::string&)> G_TEST_LOG_FUN = [](const std::str
if (!should_log) return;
std::cout << s;
};
+
+/**
+ * Retrieve the command line arguments from boost.
+ * Allows usage like:
+ * `test_bitcoin --run_test="net_tests/cnode_listen_port" -- -checkaddrman=1 -printtoconsole=1`
+ * which would return `["-checkaddrman=1", "-printtoconsole=1"]`.
+ */
+const std::function<std::vector<const char*>()> G_TEST_COMMAND_LINE_ARGUMENTS = []() {
+ std::vector<const char*> args;
+ for (int i = 1; i < boost::unit_test::framework::master_test_suite().argc; ++i) {
+ args.push_back(boost::unit_test::framework::master_test_suite().argv[i]);
+ }
+ return args;
+};
diff --git a/src/test/mempool_tests.cpp b/src/test/mempool_tests.cpp
index 38fed51af2..d6f24210eb 100644
--- a/src/test/mempool_tests.cpp
+++ b/src/test/mempool_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -444,12 +444,12 @@ BOOST_AUTO_TEST_CASE(MempoolSizeLimitTest)
pool.addUnchecked(entry.Fee(5000LL).FromTx(tx2));
pool.TrimToSize(pool.DynamicMemoryUsage()); // should do nothing
- BOOST_CHECK(pool.exists(tx1.GetHash()));
- BOOST_CHECK(pool.exists(tx2.GetHash()));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx1.GetHash())));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx2.GetHash())));
pool.TrimToSize(pool.DynamicMemoryUsage() * 3 / 4); // should remove the lower-feerate transaction
- BOOST_CHECK(pool.exists(tx1.GetHash()));
- BOOST_CHECK(!pool.exists(tx2.GetHash()));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx1.GetHash())));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx2.GetHash())));
pool.addUnchecked(entry.FromTx(tx2));
CMutableTransaction tx3 = CMutableTransaction();
@@ -462,14 +462,14 @@ BOOST_AUTO_TEST_CASE(MempoolSizeLimitTest)
pool.addUnchecked(entry.Fee(20000LL).FromTx(tx3));
pool.TrimToSize(pool.DynamicMemoryUsage() * 3 / 4); // tx3 should pay for tx2 (CPFP)
- BOOST_CHECK(!pool.exists(tx1.GetHash()));
- BOOST_CHECK(pool.exists(tx2.GetHash()));
- BOOST_CHECK(pool.exists(tx3.GetHash()));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx1.GetHash())));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx2.GetHash())));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx3.GetHash())));
pool.TrimToSize(GetVirtualTransactionSize(CTransaction(tx1))); // mempool is limited to tx1's size in memory usage, so nothing fits
- BOOST_CHECK(!pool.exists(tx1.GetHash()));
- BOOST_CHECK(!pool.exists(tx2.GetHash()));
- BOOST_CHECK(!pool.exists(tx3.GetHash()));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx1.GetHash())));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx2.GetHash())));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx3.GetHash())));
CFeeRate maxFeeRateRemoved(25000, GetVirtualTransactionSize(CTransaction(tx3)) + GetVirtualTransactionSize(CTransaction(tx2)));
BOOST_CHECK_EQUAL(pool.GetMinFee(1).GetFeePerK(), maxFeeRateRemoved.GetFeePerK() + 1000);
@@ -529,19 +529,19 @@ BOOST_AUTO_TEST_CASE(MempoolSizeLimitTest)
// we only require this to remove, at max, 2 txn, because it's not clear what we're really optimizing for aside from that
pool.TrimToSize(pool.DynamicMemoryUsage() - 1);
- BOOST_CHECK(pool.exists(tx4.GetHash()));
- BOOST_CHECK(pool.exists(tx6.GetHash()));
- BOOST_CHECK(!pool.exists(tx7.GetHash()));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx4.GetHash())));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx6.GetHash())));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx7.GetHash())));
- if (!pool.exists(tx5.GetHash()))
+ if (!pool.exists(GenTxid::Txid(tx5.GetHash())))
pool.addUnchecked(entry.Fee(1000LL).FromTx(tx5));
pool.addUnchecked(entry.Fee(9000LL).FromTx(tx7));
pool.TrimToSize(pool.DynamicMemoryUsage() / 2); // should maximize mempool size by only removing 5/7
- BOOST_CHECK(pool.exists(tx4.GetHash()));
- BOOST_CHECK(!pool.exists(tx5.GetHash()));
- BOOST_CHECK(pool.exists(tx6.GetHash()));
- BOOST_CHECK(!pool.exists(tx7.GetHash()));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx4.GetHash())));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx5.GetHash())));
+ BOOST_CHECK(pool.exists(GenTxid::Txid(tx6.GetHash())));
+ BOOST_CHECK(!pool.exists(GenTxid::Txid(tx7.GetHash())));
pool.addUnchecked(entry.Fee(1000LL).FromTx(tx5));
pool.addUnchecked(entry.Fee(9000LL).FromTx(tx7));
@@ -571,8 +571,6 @@ BOOST_AUTO_TEST_CASE(MempoolSizeLimitTest)
SetMockTime(42 + 8*CTxMemPool::ROLLING_FEE_HALFLIFE + CTxMemPool::ROLLING_FEE_HALFLIFE/2 + CTxMemPool::ROLLING_FEE_HALFLIFE/4);
BOOST_CHECK_EQUAL(pool.GetMinFee(1).GetFeePerK(), 0);
// ... unless it has gone all the way to 0 (after getting past 1000/2)
-
- SetMockTime(0);
}
inline CTransactionRef make_tx(std::vector<CAmount>&& output_values, std::vector<CTransactionRef>&& inputs=std::vector<CTransactionRef>(), std::vector<uint32_t>&& input_indices=std::vector<uint32_t>())
@@ -604,7 +602,7 @@ BOOST_AUTO_TEST_CASE(MempoolAncestryTests)
//
// [tx1]
//
- CTransactionRef tx1 = make_tx(/* output_values */ {10 * COIN});
+ CTransactionRef tx1 = make_tx(/*output_values=*/{10 * COIN});
pool.addUnchecked(entry.Fee(10000LL).FromTx(tx1));
// Ancestors / descendants should be 1 / 1 (itself / itself)
@@ -616,7 +614,7 @@ BOOST_AUTO_TEST_CASE(MempoolAncestryTests)
//
// [tx1].0 <- [tx2]
//
- CTransactionRef tx2 = make_tx(/* output_values */ {495 * CENT, 5 * COIN}, /* inputs */ {tx1});
+ CTransactionRef tx2 = make_tx(/*output_values=*/{495 * CENT, 5 * COIN}, /*inputs=*/{tx1});
pool.addUnchecked(entry.Fee(10000LL).FromTx(tx2));
// Ancestors / descendants should be:
@@ -635,7 +633,7 @@ BOOST_AUTO_TEST_CASE(MempoolAncestryTests)
//
// [tx1].0 <- [tx2].0 <- [tx3]
//
- CTransactionRef tx3 = make_tx(/* output_values */ {290 * CENT, 200 * CENT}, /* inputs */ {tx2});
+ CTransactionRef tx3 = make_tx(/*output_values=*/{290 * CENT, 200 * CENT}, /*inputs=*/{tx2});
pool.addUnchecked(entry.Fee(10000LL).FromTx(tx3));
// Ancestors / descendants should be:
@@ -660,7 +658,7 @@ BOOST_AUTO_TEST_CASE(MempoolAncestryTests)
// |
// \---1 <- [tx4]
//
- CTransactionRef tx4 = make_tx(/* output_values */ {290 * CENT, 250 * CENT}, /* inputs */ {tx2}, /* input_indices */ {1});
+ CTransactionRef tx4 = make_tx(/*output_values=*/{290 * CENT, 250 * CENT}, /*inputs=*/{tx2}, /*input_indices=*/{1});
pool.addUnchecked(entry.Fee(10000LL).FromTx(tx4));
// Ancestors / descendants should be:
@@ -696,14 +694,14 @@ BOOST_AUTO_TEST_CASE(MempoolAncestryTests)
CAmount v = 5 * COIN;
for (uint64_t i = 0; i < 5; i++) {
CTransactionRef& tyi = *ty[i];
- tyi = make_tx(/* output_values */ {v}, /* inputs */ i > 0 ? std::vector<CTransactionRef>{*ty[i - 1]} : std::vector<CTransactionRef>{});
+ tyi = make_tx(/*output_values=*/{v}, /*inputs=*/i > 0 ? std::vector<CTransactionRef>{*ty[i - 1]} : std::vector<CTransactionRef>{});
v -= 50 * CENT;
pool.addUnchecked(entry.Fee(10000LL).FromTx(tyi));
pool.GetTransactionAncestry(tyi->GetHash(), ancestors, descendants);
BOOST_CHECK_EQUAL(ancestors, i+1);
BOOST_CHECK_EQUAL(descendants, i+1);
}
- CTransactionRef ty6 = make_tx(/* output_values */ {5 * COIN}, /* inputs */ {tx3, ty5});
+ CTransactionRef ty6 = make_tx(/*output_values=*/{5 * COIN}, /*inputs=*/{tx3, ty5});
pool.addUnchecked(entry.Fee(10000LL).FromTx(ty6));
// Ancestors / descendants should be:
@@ -757,10 +755,10 @@ BOOST_AUTO_TEST_CASE(MempoolAncestryTests)
// \---1 <- [tc].0 --<--/
//
CTransactionRef ta, tb, tc, td;
- ta = make_tx(/* output_values */ {10 * COIN});
- tb = make_tx(/* output_values */ {5 * COIN, 3 * COIN}, /* inputs */ {ta});
- tc = make_tx(/* output_values */ {2 * COIN}, /* inputs */ {tb}, /* input_indices */ {1});
- td = make_tx(/* output_values */ {6 * COIN}, /* inputs */ {tb, tc}, /* input_indices */ {0, 0});
+ ta = make_tx(/*output_values=*/{10 * COIN});
+ tb = make_tx(/*output_values=*/{5 * COIN, 3 * COIN}, /*inputs=*/ {ta});
+ tc = make_tx(/*output_values=*/{2 * COIN}, /*inputs=*/{tb}, /*input_indices=*/{1});
+ td = make_tx(/*output_values=*/{6 * COIN}, /*inputs=*/{tb, tc}, /*input_indices=*/{0, 0});
pool.clear();
pool.addUnchecked(entry.Fee(10000LL).FromTx(ta));
pool.addUnchecked(entry.Fee(10000LL).FromTx(tb));
diff --git a/src/test/merkleblock_tests.cpp b/src/test/merkleblock_tests.cpp
index 98b27994a6..c7ec5fec15 100644
--- a/src/test/merkleblock_tests.cpp
+++ b/src/test/merkleblock_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,8 +8,10 @@
#include <boost/test/unit_test.hpp>
+#include <set>
+#include <vector>
-BOOST_FIXTURE_TEST_SUITE(merkleblock_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(merkleblock_tests)
/**
* Create a CMerkleBlock using a list of txids which will be found in the
diff --git a/src/test/miner_tests.cpp b/src/test/miner_tests.cpp
index aa628371e6..c453dae701 100644
--- a/src/test/miner_tests.cpp
+++ b/src/test/miner_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,7 @@
#include <consensus/consensus.h>
#include <consensus/merkle.h>
#include <consensus/tx_verify.h>
-#include <miner.h>
+#include <node/miner.h>
#include <policy/policy.h>
#include <script/standard.h>
#include <txmempool.h>
@@ -16,6 +16,7 @@
#include <util/system.h>
#include <util/time.h>
#include <validation.h>
+#include <versionbits.h>
#include <test/util/setup_common.h>
@@ -23,12 +24,16 @@
#include <boost/test/unit_test.hpp>
+using node::BlockAssembler;
+using node::CBlockTemplate;
+
namespace miner_tests {
struct MinerTestingSetup : public TestingSetup {
void TestPackageSelection(const CChainParams& chainparams, const CScript& scriptPubKey, const std::vector<CTransactionRef>& txFirst) EXCLUSIVE_LOCKS_REQUIRED(::cs_main, m_node.mempool->cs);
bool TestSequenceLocks(const CTransaction& tx, int flags) EXCLUSIVE_LOCKS_REQUIRED(::cs_main, m_node.mempool->cs)
{
- return CheckSequenceLocks(::ChainstateActive(), *m_node.mempool, tx, flags);
+ CCoinsViewMemPool view_mempool(&m_node.chainman->ActiveChainstate().CoinsTip(), *m_node.mempool);
+ return CheckSequenceLocks(m_node.chainman->ActiveChain().Tip(), view_mempool, tx, flags);
}
BlockAssembler AssemblerForTest(const CChainParams& params);
};
@@ -44,48 +49,37 @@ BlockAssembler MinerTestingSetup::AssemblerForTest(const CChainParams& params)
options.nBlockMaxWeight = MAX_BLOCK_WEIGHT;
options.blockMinFeeRate = blockMinFeeRate;
- return BlockAssembler(*m_node.mempool, params, options);
+ return BlockAssembler(m_node.chainman->ActiveChainstate(), *m_node.mempool, params, options);
}
constexpr static struct {
unsigned char extranonce;
unsigned int nonce;
-} blockinfo[] = {
- {4, 0xa4a3e223}, {2, 0x15c32f9e}, {1, 0x0375b547}, {1, 0x7004a8a5},
- {2, 0xce440296}, {2, 0x52cfe198}, {1, 0x77a72cd0}, {2, 0xbb5d6f84},
- {2, 0x83f30c2c}, {1, 0x48a73d5b}, {1, 0xef7dcd01}, {2, 0x6809c6c4},
- {2, 0x0883ab3c}, {1, 0x087bbbe2}, {2, 0x2104a814}, {2, 0xdffb6daa},
- {1, 0xee8a0a08}, {2, 0xba4237c1}, {1, 0xa70349dc}, {1, 0x344722bb},
- {3, 0xd6294733}, {2, 0xec9f5c94}, {2, 0xca2fbc28}, {1, 0x6ba4f406},
- {2, 0x015d4532}, {1, 0x6e119b7c}, {2, 0x43e8f314}, {2, 0x27962f38},
- {2, 0xb571b51b}, {2, 0xb36bee23}, {2, 0xd17924a8}, {2, 0x6bc212d9},
- {1, 0x630d4948}, {2, 0x9a4c4ebb}, {2, 0x554be537}, {1, 0xd63ddfc7},
- {2, 0xa10acc11}, {1, 0x759a8363}, {2, 0xfb73090d}, {1, 0xe82c6a34},
- {1, 0xe33e92d7}, {3, 0x658ef5cb}, {2, 0xba32ff22}, {5, 0x0227a10c},
- {1, 0xa9a70155}, {5, 0xd096d809}, {1, 0x37176174}, {1, 0x830b8d0f},
- {1, 0xc6e3910e}, {2, 0x823f3ca8}, {1, 0x99850849}, {1, 0x7521fb81},
- {1, 0xaacaabab}, {1, 0xd645a2eb}, {5, 0x7aea1781}, {5, 0x9d6e4b78},
- {1, 0x4ce90fd8}, {1, 0xabdc832d}, {6, 0x4a34f32a}, {2, 0xf2524c1c},
- {2, 0x1bbeb08a}, {1, 0xad47f480}, {1, 0x9f026aeb}, {1, 0x15a95049},
- {2, 0xd1cb95b2}, {2, 0xf84bbda5}, {1, 0x0fa62cd1}, {1, 0xe05f9169},
- {1, 0x78d194a9}, {5, 0x3e38147b}, {5, 0x737ba0d4}, {1, 0x63378e10},
- {1, 0x6d5f91cf}, {2, 0x88612eb8}, {2, 0xe9639484}, {1, 0xb7fabc9d},
- {2, 0x19b01592}, {1, 0x5a90dd31}, {2, 0x5bd7e028}, {2, 0x94d00323},
- {1, 0xa9b9c01a}, {1, 0x3a40de61}, {1, 0x56e7eec7}, {5, 0x859f7ef6},
- {1, 0xfd8e5630}, {1, 0x2b0c9f7f}, {1, 0xba700e26}, {1, 0x7170a408},
- {1, 0x70de86a8}, {1, 0x74d64cd5}, {1, 0x49e738a1}, {2, 0x6910b602},
- {0, 0x643c565f}, {1, 0x54264b3f}, {2, 0x97ea6396}, {2, 0x55174459},
- {2, 0x03e8779a}, {1, 0x98f34d8f}, {1, 0xc07b2b07}, {1, 0xdfe29668},
- {1, 0x3141c7c1}, {1, 0xb3b595f4}, {1, 0x735abf08}, {5, 0x623bfbce},
- {2, 0xd351e722}, {1, 0xf4ca48c9}, {1, 0x5b19c670}, {1, 0xa164bf0e},
- {2, 0xbbbeb305}, {2, 0xfe1c810a},
-};
-
-static CBlockIndex CreateBlockIndex(int nHeight) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+} BLOCKINFO[]{{8, 582909131}, {0, 971462344}, {2, 1169481553}, {6, 66147495}, {7, 427785981}, {8, 80538907},
+ {8, 207348013}, {2, 1951240923}, {4, 215054351}, {1, 491520534}, {8, 1282281282}, {4, 639565734},
+ {3, 248274685}, {8, 1160085976}, {6, 396349768}, {5, 393780549}, {5, 1096899528}, {4, 965381630},
+ {0, 728758712}, {5, 318638310}, {3, 164591898}, {2, 274234550}, {2, 254411237}, {7, 561761812},
+ {2, 268342573}, {0, 402816691}, {1, 221006382}, {6, 538872455}, {7, 393315655}, {4, 814555937},
+ {7, 504879194}, {6, 467769648}, {3, 925972193}, {2, 200581872}, {3, 168915404}, {8, 430446262},
+ {5, 773507406}, {3, 1195366164}, {0, 433361157}, {3, 297051771}, {0, 558856551}, {2, 501614039},
+ {3, 528488272}, {2, 473587734}, {8, 230125274}, {2, 494084400}, {4, 357314010}, {8, 60361686},
+ {7, 640624687}, {3, 480441695}, {8, 1424447925}, {4, 752745419}, {1, 288532283}, {6, 669170574},
+ {5, 1900907591}, {3, 555326037}, {3, 1121014051}, {0, 545835650}, {8, 189196651}, {5, 252371575},
+ {0, 199163095}, {6, 558895874}, {6, 1656839784}, {6, 815175452}, {6, 718677851}, {5, 544000334},
+ {0, 340113484}, {6, 850744437}, {4, 496721063}, {8, 524715182}, {6, 574361898}, {6, 1642305743},
+ {6, 355110149}, {5, 1647379658}, {8, 1103005356}, {7, 556460625}, {3, 1139533992}, {5, 304736030},
+ {2, 361539446}, {2, 143720360}, {6, 201939025}, {7, 423141476}, {4, 574633709}, {3, 1412254823},
+ {4, 873254135}, {0, 341817335}, {6, 53501687}, {3, 179755410}, {5, 172209688}, {8, 516810279},
+ {4, 1228391489}, {8, 325372589}, {6, 550367589}, {0, 876291812}, {7, 412454120}, {7, 717202854},
+ {2, 222677843}, {6, 251778867}, {7, 842004420}, {7, 194762829}, {4, 96668841}, {1, 925485796},
+ {0, 792342903}, {6, 678455063}, {6, 773251385}, {5, 186617471}, {6, 883189502}, {7, 396077336},
+ {8, 254702874}, {0, 455592851}};
+
+static CBlockIndex CreateBlockIndex(int nHeight, CBlockIndex* active_chain_tip) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
{
CBlockIndex index;
index.nHeight = nHeight;
- index.pprev = ::ChainActive().Tip();
+ index.pprev = active_chain_tip;
return index;
}
@@ -219,25 +213,23 @@ BOOST_AUTO_TEST_CASE(CreateNewBlock_validity)
// We can't make transactions until we have inputs
// Therefore, load 110 blocks :)
- static_assert(std::size(blockinfo) == 110, "Should have 110 blocks to import");
+ static_assert(std::size(BLOCKINFO) == 110, "Should have 110 blocks to import");
int baseheight = 0;
std::vector<CTransactionRef> txFirst;
- for (const auto& bi : blockinfo) {
+ for (const auto& bi : BLOCKINFO) {
CBlock *pblock = &pblocktemplate->block; // pointer for convenience
{
LOCK(cs_main);
- pblock->nVersion = 1;
- pblock->nTime = ::ChainActive().Tip()->GetMedianTimePast()+1;
+ pblock->nVersion = VERSIONBITS_TOP_BITS;
+ pblock->nTime = m_node.chainman->ActiveChain().Tip()->GetMedianTimePast()+1;
CMutableTransaction txCoinbase(*pblock->vtx[0]);
txCoinbase.nVersion = 1;
- txCoinbase.vin[0].scriptSig = CScript();
- txCoinbase.vin[0].scriptSig.push_back(bi.extranonce);
- txCoinbase.vin[0].scriptSig.push_back(::ChainActive().Height());
+ txCoinbase.vin[0].scriptSig = CScript{} << (m_node.chainman->ActiveChain().Height() + 1) << bi.extranonce;
txCoinbase.vout.resize(1); // Ignore the (optional) segwit commitment added by CreateNewBlock (as the hardcoded nonces don't account for this)
txCoinbase.vout[0].scriptPubKey = CScript();
pblock->vtx[0] = MakeTransactionRef(std::move(txCoinbase));
if (txFirst.size() == 0)
- baseheight = ::ChainActive().Height();
+ baseheight = m_node.chainman->ActiveChain().Height();
if (txFirst.size() < 4)
txFirst.push_back(pblock->vtx[0]);
pblock->hashMerkleRoot = BlockMerkleRoot(*pblock);
@@ -363,29 +355,29 @@ BOOST_AUTO_TEST_CASE(CreateNewBlock_validity)
m_node.mempool->clear();
// subsidy changing
- int nHeight = ::ChainActive().Height();
+ int nHeight = m_node.chainman->ActiveChain().Height();
// Create an actual 209999-long block chain (without valid blocks).
- while (::ChainActive().Tip()->nHeight < 209999) {
- CBlockIndex* prev = ::ChainActive().Tip();
+ while (m_node.chainman->ActiveChain().Tip()->nHeight < 209999) {
+ CBlockIndex* prev = m_node.chainman->ActiveChain().Tip();
CBlockIndex* next = new CBlockIndex();
next->phashBlock = new uint256(InsecureRand256());
- ::ChainstateActive().CoinsTip().SetBestBlock(next->GetBlockHash());
+ m_node.chainman->ActiveChainstate().CoinsTip().SetBestBlock(next->GetBlockHash());
next->pprev = prev;
next->nHeight = prev->nHeight + 1;
next->BuildSkip();
- ::ChainActive().SetTip(next);
+ m_node.chainman->ActiveChain().SetTip(next);
}
BOOST_CHECK(pblocktemplate = AssemblerForTest(chainparams).CreateNewBlock(scriptPubKey));
// Extend to a 210000-long block chain.
- while (::ChainActive().Tip()->nHeight < 210000) {
- CBlockIndex* prev = ::ChainActive().Tip();
+ while (m_node.chainman->ActiveChain().Tip()->nHeight < 210000) {
+ CBlockIndex* prev = m_node.chainman->ActiveChain().Tip();
CBlockIndex* next = new CBlockIndex();
next->phashBlock = new uint256(InsecureRand256());
- ::ChainstateActive().CoinsTip().SetBestBlock(next->GetBlockHash());
+ m_node.chainman->ActiveChainstate().CoinsTip().SetBestBlock(next->GetBlockHash());
next->pprev = prev;
next->nHeight = prev->nHeight + 1;
next->BuildSkip();
- ::ChainActive().SetTip(next);
+ m_node.chainman->ActiveChain().SetTip(next);
}
BOOST_CHECK(pblocktemplate = AssemblerForTest(chainparams).CreateNewBlock(scriptPubKey));
@@ -408,16 +400,16 @@ BOOST_AUTO_TEST_CASE(CreateNewBlock_validity)
m_node.mempool->clear();
// Delete the dummy blocks again.
- while (::ChainActive().Tip()->nHeight > nHeight) {
- CBlockIndex* del = ::ChainActive().Tip();
- ::ChainActive().SetTip(del->pprev);
- ::ChainstateActive().CoinsTip().SetBestBlock(del->pprev->GetBlockHash());
+ while (m_node.chainman->ActiveChain().Tip()->nHeight > nHeight) {
+ CBlockIndex* del = m_node.chainman->ActiveChain().Tip();
+ m_node.chainman->ActiveChain().SetTip(del->pprev);
+ m_node.chainman->ActiveChainstate().CoinsTip().SetBestBlock(del->pprev->GetBlockHash());
delete del->phashBlock;
delete del;
}
// non-final txs in mempool
- SetMockTime(::ChainActive().Tip()->GetMedianTimePast()+1);
+ SetMockTime(m_node.chainman->ActiveChain().Tip()->GetMedianTimePast()+1);
int flags = LOCKTIME_VERIFY_SEQUENCE|LOCKTIME_MEDIAN_TIME_PAST;
// height map
std::vector<int> prevheights;
@@ -429,7 +421,7 @@ BOOST_AUTO_TEST_CASE(CreateNewBlock_validity)
tx.vin[0].prevout.hash = txFirst[0]->GetHash(); // only 1 transaction
tx.vin[0].prevout.n = 0;
tx.vin[0].scriptSig = CScript() << OP_1;
- tx.vin[0].nSequence = ::ChainActive().Tip()->nHeight + 1; // txFirst[0] is the 2nd block
+ tx.vin[0].nSequence = m_node.chainman->ActiveChain().Tip()->nHeight + 1; // txFirst[0] is the 2nd block
prevheights[0] = baseheight + 1;
tx.vout.resize(1);
tx.vout[0].nValue = BLOCKSUBSIDY-HIGHFEE;
@@ -437,53 +429,62 @@ BOOST_AUTO_TEST_CASE(CreateNewBlock_validity)
tx.nLockTime = 0;
hash = tx.GetHash();
m_node.mempool->addUnchecked(entry.Fee(HIGHFEE).Time(GetTime()).SpendsCoinbase(true).FromTx(tx));
- BOOST_CHECK(CheckFinalTx(::ChainActive().Tip(), CTransaction(tx), flags)); // Locktime passes
+ BOOST_CHECK(CheckFinalTx(m_node.chainman->ActiveChain().Tip(), CTransaction(tx), flags)); // Locktime passes
BOOST_CHECK(!TestSequenceLocks(CTransaction(tx), flags)); // Sequence locks fail
- BOOST_CHECK(SequenceLocks(CTransaction(tx), flags, prevheights, CreateBlockIndex(::ChainActive().Tip()->nHeight + 2))); // Sequence locks pass on 2nd block
+
+ {
+ CBlockIndex* active_chain_tip = m_node.chainman->ActiveChain().Tip();
+ BOOST_CHECK(SequenceLocks(CTransaction(tx), flags, prevheights, CreateBlockIndex(active_chain_tip->nHeight + 2, active_chain_tip))); // Sequence locks pass on 2nd block
+ }
// relative time locked
tx.vin[0].prevout.hash = txFirst[1]->GetHash();
- tx.vin[0].nSequence = CTxIn::SEQUENCE_LOCKTIME_TYPE_FLAG | (((::ChainActive().Tip()->GetMedianTimePast()+1-::ChainActive()[1]->GetMedianTimePast()) >> CTxIn::SEQUENCE_LOCKTIME_GRANULARITY) + 1); // txFirst[1] is the 3rd block
+ tx.vin[0].nSequence = CTxIn::SEQUENCE_LOCKTIME_TYPE_FLAG | (((m_node.chainman->ActiveChain().Tip()->GetMedianTimePast()+1-m_node.chainman->ActiveChain()[1]->GetMedianTimePast()) >> CTxIn::SEQUENCE_LOCKTIME_GRANULARITY) + 1); // txFirst[1] is the 3rd block
prevheights[0] = baseheight + 2;
hash = tx.GetHash();
m_node.mempool->addUnchecked(entry.Time(GetTime()).FromTx(tx));
- BOOST_CHECK(CheckFinalTx(::ChainActive().Tip(), CTransaction(tx), flags)); // Locktime passes
+ BOOST_CHECK(CheckFinalTx(m_node.chainman->ActiveChain().Tip(), CTransaction(tx), flags)); // Locktime passes
BOOST_CHECK(!TestSequenceLocks(CTransaction(tx), flags)); // Sequence locks fail
for (int i = 0; i < CBlockIndex::nMedianTimeSpan; i++)
- ::ChainActive().Tip()->GetAncestor(::ChainActive().Tip()->nHeight - i)->nTime += 512; //Trick the MedianTimePast
- BOOST_CHECK(SequenceLocks(CTransaction(tx), flags, prevheights, CreateBlockIndex(::ChainActive().Tip()->nHeight + 1))); // Sequence locks pass 512 seconds later
+ m_node.chainman->ActiveChain().Tip()->GetAncestor(m_node.chainman->ActiveChain().Tip()->nHeight - i)->nTime += 512; //Trick the MedianTimePast
+
+ {
+ CBlockIndex* active_chain_tip = m_node.chainman->ActiveChain().Tip();
+ BOOST_CHECK(SequenceLocks(CTransaction(tx), flags, prevheights, CreateBlockIndex(active_chain_tip->nHeight + 1, active_chain_tip))); // Sequence locks pass 512 seconds later
+ }
+
for (int i = 0; i < CBlockIndex::nMedianTimeSpan; i++)
- ::ChainActive().Tip()->GetAncestor(::ChainActive().Tip()->nHeight - i)->nTime -= 512; //undo tricked MTP
+ m_node.chainman->ActiveChain().Tip()->GetAncestor(m_node.chainman->ActiveChain().Tip()->nHeight - i)->nTime -= 512; //undo tricked MTP
// absolute height locked
tx.vin[0].prevout.hash = txFirst[2]->GetHash();
- tx.vin[0].nSequence = CTxIn::SEQUENCE_FINAL - 1;
+ tx.vin[0].nSequence = CTxIn::MAX_SEQUENCE_NONFINAL;
prevheights[0] = baseheight + 3;
- tx.nLockTime = ::ChainActive().Tip()->nHeight + 1;
+ tx.nLockTime = m_node.chainman->ActiveChain().Tip()->nHeight + 1;
hash = tx.GetHash();
m_node.mempool->addUnchecked(entry.Time(GetTime()).FromTx(tx));
- BOOST_CHECK(!CheckFinalTx(::ChainActive().Tip(), CTransaction(tx), flags)); // Locktime fails
+ BOOST_CHECK(!CheckFinalTx(m_node.chainman->ActiveChain().Tip(), CTransaction(tx), flags)); // Locktime fails
BOOST_CHECK(TestSequenceLocks(CTransaction(tx), flags)); // Sequence locks pass
- BOOST_CHECK(IsFinalTx(CTransaction(tx), ::ChainActive().Tip()->nHeight + 2, ::ChainActive().Tip()->GetMedianTimePast())); // Locktime passes on 2nd block
+ BOOST_CHECK(IsFinalTx(CTransaction(tx), m_node.chainman->ActiveChain().Tip()->nHeight + 2, m_node.chainman->ActiveChain().Tip()->GetMedianTimePast())); // Locktime passes on 2nd block
// absolute time locked
tx.vin[0].prevout.hash = txFirst[3]->GetHash();
- tx.nLockTime = ::ChainActive().Tip()->GetMedianTimePast();
+ tx.nLockTime = m_node.chainman->ActiveChain().Tip()->GetMedianTimePast();
prevheights.resize(1);
prevheights[0] = baseheight + 4;
hash = tx.GetHash();
m_node.mempool->addUnchecked(entry.Time(GetTime()).FromTx(tx));
- BOOST_CHECK(!CheckFinalTx(::ChainActive().Tip(), CTransaction(tx), flags)); // Locktime fails
+ BOOST_CHECK(!CheckFinalTx(m_node.chainman->ActiveChain().Tip(), CTransaction(tx), flags)); // Locktime fails
BOOST_CHECK(TestSequenceLocks(CTransaction(tx), flags)); // Sequence locks pass
- BOOST_CHECK(IsFinalTx(CTransaction(tx), ::ChainActive().Tip()->nHeight + 2, ::ChainActive().Tip()->GetMedianTimePast() + 1)); // Locktime passes 1 second later
+ BOOST_CHECK(IsFinalTx(CTransaction(tx), m_node.chainman->ActiveChain().Tip()->nHeight + 2, m_node.chainman->ActiveChain().Tip()->GetMedianTimePast() + 1)); // Locktime passes 1 second later
// mempool-dependent transactions (not added)
tx.vin[0].prevout.hash = hash;
- prevheights[0] = ::ChainActive().Tip()->nHeight + 1;
+ prevheights[0] = m_node.chainman->ActiveChain().Tip()->nHeight + 1;
tx.nLockTime = 0;
tx.vin[0].nSequence = 0;
- BOOST_CHECK(CheckFinalTx(::ChainActive().Tip(), CTransaction(tx), flags)); // Locktime passes
+ BOOST_CHECK(CheckFinalTx(m_node.chainman->ActiveChain().Tip(), CTransaction(tx), flags)); // Locktime passes
BOOST_CHECK(TestSequenceLocks(CTransaction(tx), flags)); // Sequence locks pass
tx.vin[0].nSequence = 1;
BOOST_CHECK(!TestSequenceLocks(CTransaction(tx), flags)); // Sequence locks fail
@@ -501,14 +502,14 @@ BOOST_AUTO_TEST_CASE(CreateNewBlock_validity)
BOOST_CHECK_EQUAL(pblocktemplate->block.vtx.size(), 3U);
// However if we advance height by 1 and time by 512, all of them should be mined
for (int i = 0; i < CBlockIndex::nMedianTimeSpan; i++)
- ::ChainActive().Tip()->GetAncestor(::ChainActive().Tip()->nHeight - i)->nTime += 512; //Trick the MedianTimePast
- ::ChainActive().Tip()->nHeight++;
- SetMockTime(::ChainActive().Tip()->GetMedianTimePast() + 1);
+ m_node.chainman->ActiveChain().Tip()->GetAncestor(m_node.chainman->ActiveChain().Tip()->nHeight - i)->nTime += 512; //Trick the MedianTimePast
+ m_node.chainman->ActiveChain().Tip()->nHeight++;
+ SetMockTime(m_node.chainman->ActiveChain().Tip()->GetMedianTimePast() + 1);
BOOST_CHECK(pblocktemplate = AssemblerForTest(chainparams).CreateNewBlock(scriptPubKey));
BOOST_CHECK_EQUAL(pblocktemplate->block.vtx.size(), 5U);
- ::ChainActive().Tip()->nHeight--;
+ m_node.chainman->ActiveChain().Tip()->nHeight--;
SetMockTime(0);
m_node.mempool->clear();
diff --git a/src/test/minisketch_tests.cpp b/src/test/minisketch_tests.cpp
new file mode 100644
index 0000000000..9c53ace633
--- /dev/null
+++ b/src/test/minisketch_tests.cpp
@@ -0,0 +1,51 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <minisketch.h>
+#include <node/minisketchwrapper.h>
+#include <random.h>
+#include <test/util/setup_common.h>
+
+#include <boost/test/unit_test.hpp>
+
+#include <utility>
+
+using node::MakeMinisketch32;
+
+BOOST_AUTO_TEST_SUITE(minisketch_tests)
+
+BOOST_AUTO_TEST_CASE(minisketch_test)
+{
+ for (int i = 0; i < 100; ++i) {
+ uint32_t errors = 0 + InsecureRandRange(11);
+ uint32_t start_a = 1 + InsecureRandRange(1000000000);
+ uint32_t a_not_b = InsecureRandRange(errors + 1);
+ uint32_t b_not_a = errors - a_not_b;
+ uint32_t both = InsecureRandRange(10000);
+ uint32_t end_a = start_a + a_not_b + both;
+ uint32_t start_b = start_a + a_not_b;
+ uint32_t end_b = start_b + both + b_not_a;
+
+ Minisketch sketch_a = MakeMinisketch32(10);
+ for (uint32_t a = start_a; a < end_a; ++a) sketch_a.Add(a);
+ Minisketch sketch_b = MakeMinisketch32(10);
+ for (uint32_t b = start_b; b < end_b; ++b) sketch_b.Add(b);
+
+ Minisketch sketch_ar = MakeMinisketch32(10);
+ Minisketch sketch_br = MakeMinisketch32(10);
+ sketch_ar.Deserialize(sketch_a.Serialize());
+ sketch_br.Deserialize(sketch_b.Serialize());
+
+ Minisketch sketch_c = std::move(sketch_ar);
+ sketch_c.Merge(sketch_br);
+ auto dec = sketch_c.Decode(errors);
+ BOOST_CHECK(dec.has_value());
+ auto sols = std::move(*dec);
+ std::sort(sols.begin(), sols.end());
+ for (uint32_t i = 0; i < a_not_b; ++i) BOOST_CHECK_EQUAL(sols[i], start_a + i);
+ for (uint32_t i = 0; i < b_not_a; ++i) BOOST_CHECK_EQUAL(sols[i + a_not_b], start_b + both + i);
+ }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/multisig_tests.cpp b/src/test/multisig_tests.cpp
index e14d2dd72d..dccc7ce795 100644
--- a/src/test/multisig_tests.cpp
+++ b/src/test/multisig_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -77,20 +77,20 @@ BOOST_AUTO_TEST_CASE(multisig_verify)
keys.assign(1,key[0]);
keys.push_back(key[1]);
s = sign_multisig(a_and_b, keys, CTransaction(txTo[0]), 0);
- BOOST_CHECK(VerifyScript(s, a_and_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[0], 0, amount), &err));
+ BOOST_CHECK(VerifyScript(s, a_and_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[0], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
for (int i = 0; i < 4; i++)
{
keys.assign(1,key[i]);
s = sign_multisig(a_and_b, keys, CTransaction(txTo[0]), 0);
- BOOST_CHECK_MESSAGE(!VerifyScript(s, a_and_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[0], 0, amount), &err), strprintf("a&b 1: %d", i));
+ BOOST_CHECK_MESSAGE(!VerifyScript(s, a_and_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[0], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err), strprintf("a&b 1: %d", i));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_INVALID_STACK_OPERATION, ScriptErrorString(err));
keys.assign(1,key[1]);
keys.push_back(key[i]);
s = sign_multisig(a_and_b, keys, CTransaction(txTo[0]), 0);
- BOOST_CHECK_MESSAGE(!VerifyScript(s, a_and_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[0], 0, amount), &err), strprintf("a&b 2: %d", i));
+ BOOST_CHECK_MESSAGE(!VerifyScript(s, a_and_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[0], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err), strprintf("a&b 2: %d", i));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
}
@@ -101,18 +101,18 @@ BOOST_AUTO_TEST_CASE(multisig_verify)
s = sign_multisig(a_or_b, keys, CTransaction(txTo[1]), 0);
if (i == 0 || i == 1)
{
- BOOST_CHECK_MESSAGE(VerifyScript(s, a_or_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[1], 0, amount), &err), strprintf("a|b: %d", i));
+ BOOST_CHECK_MESSAGE(VerifyScript(s, a_or_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[1], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err), strprintf("a|b: %d", i));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
}
else
{
- BOOST_CHECK_MESSAGE(!VerifyScript(s, a_or_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[1], 0, amount), &err), strprintf("a|b: %d", i));
+ BOOST_CHECK_MESSAGE(!VerifyScript(s, a_or_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[1], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err), strprintf("a|b: %d", i));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
}
}
s.clear();
s << OP_0 << OP_1;
- BOOST_CHECK(!VerifyScript(s, a_or_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[1], 0, amount), &err));
+ BOOST_CHECK(!VerifyScript(s, a_or_b, nullptr, flags, MutableTransactionSignatureChecker(&txTo[1], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_SIG_DER, ScriptErrorString(err));
@@ -124,12 +124,12 @@ BOOST_AUTO_TEST_CASE(multisig_verify)
s = sign_multisig(escrow, keys, CTransaction(txTo[2]), 0);
if (i < j && i < 3 && j < 3)
{
- BOOST_CHECK_MESSAGE(VerifyScript(s, escrow, nullptr, flags, MutableTransactionSignatureChecker(&txTo[2], 0, amount), &err), strprintf("escrow 1: %d %d", i, j));
+ BOOST_CHECK_MESSAGE(VerifyScript(s, escrow, nullptr, flags, MutableTransactionSignatureChecker(&txTo[2], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err), strprintf("escrow 1: %d %d", i, j));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
}
else
{
- BOOST_CHECK_MESSAGE(!VerifyScript(s, escrow, nullptr, flags, MutableTransactionSignatureChecker(&txTo[2], 0, amount), &err), strprintf("escrow 2: %d %d", i, j));
+ BOOST_CHECK_MESSAGE(!VerifyScript(s, escrow, nullptr, flags, MutableTransactionSignatureChecker(&txTo[2], 0, amount, MissingDataBehavior::ASSERT_FAIL), &err), strprintf("escrow 2: %d %d", i, j));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
}
}
diff --git a/src/test/net_peer_eviction_tests.cpp b/src/test/net_peer_eviction_tests.cpp
new file mode 100644
index 0000000000..78ad24a408
--- /dev/null
+++ b/src/test/net_peer_eviction_tests.cpp
@@ -0,0 +1,552 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <netaddress.h>
+#include <net.h>
+#include <test/util/net.h>
+#include <test/util/setup_common.h>
+
+#include <boost/test/unit_test.hpp>
+
+#include <algorithm>
+#include <functional>
+#include <optional>
+#include <unordered_set>
+#include <vector>
+
+BOOST_FIXTURE_TEST_SUITE(net_peer_eviction_tests, BasicTestingSetup)
+
+// Create `num_peers` random nodes, apply setup function `candidate_setup_fn`,
+// call ProtectEvictionCandidatesByRatio() to apply protection logic, and then
+// return true if all of `protected_peer_ids` and none of `unprotected_peer_ids`
+// are protected from eviction, i.e. removed from the eviction candidates.
+bool IsProtected(int num_peers,
+ std::function<void(NodeEvictionCandidate&)> candidate_setup_fn,
+ const std::unordered_set<NodeId>& protected_peer_ids,
+ const std::unordered_set<NodeId>& unprotected_peer_ids,
+ FastRandomContext& random_context)
+{
+ std::vector<NodeEvictionCandidate> candidates{GetRandomNodeEvictionCandidates(num_peers, random_context)};
+ for (NodeEvictionCandidate& candidate : candidates) {
+ candidate_setup_fn(candidate);
+ }
+ Shuffle(candidates.begin(), candidates.end(), random_context);
+
+ const size_t size{candidates.size()};
+ const size_t expected{size - size / 2}; // Expect half the candidates will be protected.
+ ProtectEvictionCandidatesByRatio(candidates);
+ BOOST_CHECK_EQUAL(candidates.size(), expected);
+
+ size_t unprotected_count{0};
+ for (const NodeEvictionCandidate& candidate : candidates) {
+ if (protected_peer_ids.count(candidate.id)) {
+ // this peer should have been removed from the eviction candidates
+ BOOST_TEST_MESSAGE(strprintf("expected candidate to be protected: %d", candidate.id));
+ return false;
+ }
+ if (unprotected_peer_ids.count(candidate.id)) {
+ // this peer remains in the eviction candidates, as expected
+ ++unprotected_count;
+ }
+ }
+
+ const bool is_protected{unprotected_count == unprotected_peer_ids.size()};
+ if (!is_protected) {
+ BOOST_TEST_MESSAGE(strprintf("unprotected: expected %d, actual %d",
+ unprotected_peer_ids.size(), unprotected_count));
+ }
+ return is_protected;
+}
+
+BOOST_AUTO_TEST_CASE(peer_protection_test)
+{
+ FastRandomContext random_context{true};
+ int num_peers{12};
+
+ // Expect half of the peers with greatest uptime (the lowest m_connected)
+ // to be protected from eviction.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = false;
+ c.m_network = NET_IPV4;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 4, 5},
+ /*unprotected_peer_ids=*/{6, 7, 8, 9, 10, 11},
+ random_context));
+
+ // Verify in the opposite direction.
+ BOOST_CHECK(IsProtected(
+ num_peers, [num_peers](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{num_peers - c.id};
+ c.m_is_local = false;
+ c.m_network = NET_IPV6;
+ },
+ /*protected_peer_ids=*/{6, 7, 8, 9, 10, 11},
+ /*unprotected_peer_ids=*/{0, 1, 2, 3, 4, 5},
+ random_context));
+
+ // Test protection of onion, localhost, and I2P peers...
+
+ // Expect 1/4 onion peers to be protected from eviction,
+ // if no localhost or I2P peers.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_is_local = false;
+ c.m_network = (c.id == 3 || c.id == 8 || c.id == 9) ? NET_ONION : NET_IPV4;
+ },
+ /*protected_peer_ids=*/{3, 8, 9},
+ /*unprotected_peer_ids=*/{},
+ random_context));
+
+ // Expect 1/4 onion peers and 1/4 of the other peers to be protected,
+ // sorted by longest uptime (lowest m_connected), if no localhost or I2P peers.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = false;
+ c.m_network = (c.id == 3 || c.id > 7) ? NET_ONION : NET_IPV6;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 8, 9},
+ /*unprotected_peer_ids=*/{4, 5, 6, 7, 10, 11},
+ random_context));
+
+ // Expect 1/4 localhost peers to be protected from eviction,
+ // if no onion or I2P peers.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_is_local = (c.id == 1 || c.id == 9 || c.id == 11);
+ c.m_network = NET_IPV4;
+ },
+ /*protected_peer_ids=*/{1, 9, 11},
+ /*unprotected_peer_ids=*/{},
+ random_context));
+
+ // Expect 1/4 localhost peers and 1/4 of the other peers to be protected,
+ // sorted by longest uptime (lowest m_connected), if no onion or I2P peers.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id > 6);
+ c.m_network = NET_IPV6;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 7, 8, 9},
+ /*unprotected_peer_ids=*/{3, 4, 5, 6, 10, 11},
+ random_context));
+
+ // Expect 1/4 I2P peers to be protected from eviction,
+ // if no onion or localhost peers.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_is_local = false;
+ c.m_network = (c.id == 2 || c.id == 7 || c.id == 10) ? NET_I2P : NET_IPV4;
+ },
+ /*protected_peer_ids=*/{2, 7, 10},
+ /*unprotected_peer_ids=*/{},
+ random_context));
+
+ // Expect 1/4 I2P peers and 1/4 of the other peers to be protected,
+ // sorted by longest uptime (lowest m_connected), if no onion or localhost peers.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = false;
+ c.m_network = (c.id == 4 || c.id > 8) ? NET_I2P : NET_IPV6;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 4, 9, 10},
+ /*unprotected_peer_ids=*/{3, 5, 6, 7, 8, 11},
+ random_context));
+
+ // Tests with 2 networks...
+
+ // Combined test: expect having 1 localhost and 1 onion peer out of 4 to
+ // protect 1 localhost, 0 onion and 1 other peer, sorted by longest uptime;
+ // stable sort breaks tie with array order of localhost first.
+ BOOST_CHECK(IsProtected(
+ 4, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 4);
+ c.m_network = (c.id == 3) ? NET_ONION : NET_IPV4;
+ },
+ /*protected_peer_ids=*/{0, 4},
+ /*unprotected_peer_ids=*/{1, 2},
+ random_context));
+
+ // Combined test: expect having 1 localhost and 1 onion peer out of 7 to
+ // protect 1 localhost, 0 onion, and 2 other peers (3 total), sorted by
+ // uptime; stable sort breaks tie with array order of localhost first.
+ BOOST_CHECK(IsProtected(
+ 7, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 6);
+ c.m_network = (c.id == 5) ? NET_ONION : NET_IPV4;
+ },
+ /*protected_peer_ids=*/{0, 1, 6},
+ /*unprotected_peer_ids=*/{2, 3, 4, 5},
+ random_context));
+
+ // Combined test: expect having 1 localhost and 1 onion peer out of 8 to
+ // protect protect 1 localhost, 1 onion and 2 other peers (4 total), sorted
+ // by uptime; stable sort breaks tie with array order of localhost first.
+ BOOST_CHECK(IsProtected(
+ 8, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 6);
+ c.m_network = (c.id == 5) ? NET_ONION : NET_IPV4;
+ },
+ /*protected_peer_ids=*/{0, 1, 5, 6},
+ /*unprotected_peer_ids=*/{2, 3, 4, 7},
+ random_context));
+
+ // Combined test: expect having 3 localhost and 3 onion peers out of 12 to
+ // protect 2 localhost and 1 onion, plus 3 other peers, sorted by longest
+ // uptime; stable sort breaks ties with the array order of localhost first.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 6 || c.id == 9 || c.id == 11);
+ c.m_network = (c.id == 7 || c.id == 8 || c.id == 10) ? NET_ONION : NET_IPV6;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 6, 7, 9},
+ /*unprotected_peer_ids=*/{3, 4, 5, 8, 10, 11},
+ random_context));
+
+ // Combined test: expect having 4 localhost and 1 onion peer out of 12 to
+ // protect 2 localhost and 1 onion, plus 3 other peers, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id > 4 && c.id < 9);
+ c.m_network = (c.id == 10) ? NET_ONION : NET_IPV4;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 5, 6, 10},
+ /*unprotected_peer_ids=*/{3, 4, 7, 8, 9, 11},
+ random_context));
+
+ // Combined test: expect having 4 localhost and 2 onion peers out of 16 to
+ // protect 2 localhost and 2 onions, plus 4 other peers, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 16, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 6 || c.id == 9 || c.id == 11 || c.id == 12);
+ c.m_network = (c.id == 8 || c.id == 10) ? NET_ONION : NET_IPV6;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 6, 8, 9, 10},
+ /*unprotected_peer_ids=*/{4, 5, 7, 11, 12, 13, 14, 15},
+ random_context));
+
+ // Combined test: expect having 5 localhost and 1 onion peer out of 16 to
+ // protect 3 localhost (recovering the unused onion slot), 1 onion, and 4
+ // others, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 16, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id > 10);
+ c.m_network = (c.id == 10) ? NET_ONION : NET_IPV4;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 10, 11, 12, 13},
+ /*unprotected_peer_ids=*/{4, 5, 6, 7, 8, 9, 14, 15},
+ random_context));
+
+ // Combined test: expect having 1 localhost and 4 onion peers out of 16 to
+ // protect 1 localhost and 3 onions (recovering the unused localhost slot),
+ // plus 4 others, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 16, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 15);
+ c.m_network = (c.id > 6 && c.id < 11) ? NET_ONION : NET_IPV6;
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 7, 8, 9, 15},
+ /*unprotected_peer_ids=*/{5, 6, 10, 11, 12, 13, 14},
+ random_context));
+
+ // Combined test: expect having 2 onion and 4 I2P out of 12 peers to protect
+ // 2 onion (prioritized for having fewer candidates) and 1 I2P, plus 3
+ // others, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ num_peers, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = false;
+ if (c.id == 8 || c.id == 10) {
+ c.m_network = NET_ONION;
+ } else if (c.id == 6 || c.id == 9 || c.id == 11 || c.id == 12) {
+ c.m_network = NET_I2P;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 6, 8, 10},
+ /*unprotected_peer_ids=*/{3, 4, 5, 7, 9, 11},
+ random_context));
+
+ // Tests with 3 networks...
+
+ // Combined test: expect having 1 localhost, 1 I2P and 1 onion peer out of 4
+ // to protect 1 I2P, 0 localhost, 0 onion and 1 other peer (2 total), sorted
+ // by longest uptime; stable sort breaks tie with array order of I2P first.
+ BOOST_CHECK(IsProtected(
+ 4, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 3);
+ if (c.id == 4) {
+ c.m_network = NET_I2P;
+ } else if (c.id == 2) {
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV6;
+ }
+ },
+ /*protected_peer_ids=*/{0, 4},
+ /*unprotected_peer_ids=*/{1, 2},
+ random_context));
+
+ // Combined test: expect having 1 localhost, 1 I2P and 1 onion peer out of 7
+ // to protect 1 I2P, 0 localhost, 0 onion and 2 other peers (3 total) sorted
+ // by longest uptime; stable sort breaks tie with array order of I2P first.
+ BOOST_CHECK(IsProtected(
+ 7, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 4);
+ if (c.id == 6) {
+ c.m_network = NET_I2P;
+ } else if (c.id == 5) {
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV6;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 6},
+ /*unprotected_peer_ids=*/{2, 3, 4, 5},
+ random_context));
+
+ // Combined test: expect having 1 localhost, 1 I2P and 1 onion peer out of 8
+ // to protect 1 I2P, 1 localhost, 0 onion and 2 other peers (4 total) sorted
+ // by uptime; stable sort breaks tie with array order of I2P then localhost.
+ BOOST_CHECK(IsProtected(
+ 8, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 6);
+ if (c.id == 5) {
+ c.m_network = NET_I2P;
+ } else if (c.id == 4) {
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV6;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 5, 6},
+ /*unprotected_peer_ids=*/{2, 3, 4, 7},
+ random_context));
+
+ // Combined test: expect having 4 localhost, 2 I2P, and 2 onion peers out of
+ // 16 to protect 1 localhost, 2 I2P, and 1 onion (4/16 total), plus 4 others
+ // for 8 total, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 16, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 6 || c.id > 11);
+ if (c.id == 7 || c.id == 11) {
+ c.m_network = NET_I2P;
+ } else if (c.id == 9 || c.id == 10) {
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 6, 7, 9, 11},
+ /*unprotected_peer_ids=*/{4, 5, 8, 10, 12, 13, 14, 15},
+ random_context));
+
+ // Combined test: expect having 1 localhost, 8 I2P and 1 onion peer out of
+ // 24 to protect 1, 4, and 1 (6 total), plus 6 others for 12/24 total,
+ // sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 24, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 12);
+ if (c.id > 14 && c.id < 23) { // 4 protected instead of usual 2
+ c.m_network = NET_I2P;
+ } else if (c.id == 23) {
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV6;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 4, 5, 12, 15, 16, 17, 18, 23},
+ /*unprotected_peer_ids=*/{6, 7, 8, 9, 10, 11, 13, 14, 19, 20, 21, 22},
+ random_context));
+
+ // Combined test: expect having 1 localhost, 3 I2P and 6 onion peers out of
+ // 24 to protect 1, 3, and 2 (6 total, I2P has fewer candidates and so gets the
+ // unused localhost slot), plus 6 others for 12/24 total, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 24, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 15);
+ if (c.id == 12 || c.id == 14 || c.id == 17) {
+ c.m_network = NET_I2P;
+ } else if (c.id > 17) { // 4 protected instead of usual 2
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 4, 5, 12, 14, 15, 17, 18, 19},
+ /*unprotected_peer_ids=*/{6, 7, 8, 9, 10, 11, 13, 16, 20, 21, 22, 23},
+ random_context));
+
+ // Combined test: expect having 1 localhost, 7 I2P and 4 onion peers out of
+ // 24 to protect 1 localhost, 2 I2P, and 3 onions (6 total), plus 6 others
+ // for 12/24 total, sorted by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 24, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id == 13);
+ if (c.id > 16) {
+ c.m_network = NET_I2P;
+ } else if (c.id == 12 || c.id == 14 || c.id == 15 || c.id == 16) {
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV6;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 4, 5, 12, 13, 14, 15, 17, 18},
+ /*unprotected_peer_ids=*/{6, 7, 8, 9, 10, 11, 16, 19, 20, 21, 22, 23},
+ random_context));
+
+ // Combined test: expect having 8 localhost, 4 I2P, and 3 onion peers out of
+ // 24 to protect 2 of each (6 total), plus 6 others for 12/24 total, sorted
+ // by longest uptime.
+ BOOST_CHECK(IsProtected(
+ 24, [](NodeEvictionCandidate& c) {
+ c.m_connected = std::chrono::seconds{c.id};
+ c.m_is_local = (c.id > 15);
+ if (c.id > 10 && c.id < 15) {
+ c.m_network = NET_I2P;
+ } else if (c.id > 6 && c.id < 10) {
+ c.m_network = NET_ONION;
+ } else {
+ c.m_network = NET_IPV4;
+ }
+ },
+ /*protected_peer_ids=*/{0, 1, 2, 3, 4, 5, 7, 8, 11, 12, 16, 17},
+ /*unprotected_peer_ids=*/{6, 9, 10, 13, 14, 15, 18, 19, 20, 21, 22, 23},
+ random_context));
+}
+
+// Returns true if any of the node ids in node_ids are selected for eviction.
+bool IsEvicted(std::vector<NodeEvictionCandidate> candidates, const std::unordered_set<NodeId>& node_ids, FastRandomContext& random_context)
+{
+ Shuffle(candidates.begin(), candidates.end(), random_context);
+ const std::optional<NodeId> evicted_node_id = SelectNodeToEvict(std::move(candidates));
+ if (!evicted_node_id) {
+ return false;
+ }
+ return node_ids.count(*evicted_node_id);
+}
+
+// Create number_of_nodes random nodes, apply setup function candidate_setup_fn,
+// apply eviction logic and then return true if any of the node ids in node_ids
+// are selected for eviction.
+bool IsEvicted(const int number_of_nodes, std::function<void(NodeEvictionCandidate&)> candidate_setup_fn, const std::unordered_set<NodeId>& node_ids, FastRandomContext& random_context)
+{
+ std::vector<NodeEvictionCandidate> candidates = GetRandomNodeEvictionCandidates(number_of_nodes, random_context);
+ for (NodeEvictionCandidate& candidate : candidates) {
+ candidate_setup_fn(candidate);
+ }
+ return IsEvicted(candidates, node_ids, random_context);
+}
+
+BOOST_AUTO_TEST_CASE(peer_eviction_test)
+{
+ FastRandomContext random_context{true};
+
+ for (int number_of_nodes = 0; number_of_nodes < 200; ++number_of_nodes) {
+ // Four nodes with the highest keyed netgroup values should be
+ // protected from eviction.
+ BOOST_CHECK(!IsEvicted(
+ number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
+ candidate.nKeyedNetGroup = number_of_nodes - candidate.id;
+ },
+ {0, 1, 2, 3}, random_context));
+
+ // Eight nodes with the lowest minimum ping time should be protected
+ // from eviction.
+ BOOST_CHECK(!IsEvicted(
+ number_of_nodes, [](NodeEvictionCandidate& candidate) {
+ candidate.m_min_ping_time = std::chrono::microseconds{candidate.id};
+ },
+ {0, 1, 2, 3, 4, 5, 6, 7}, random_context));
+
+ // Four nodes that most recently sent us novel transactions accepted
+ // into our mempool should be protected from eviction.
+ BOOST_CHECK(!IsEvicted(
+ number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
+ candidate.m_last_tx_time = std::chrono::seconds{number_of_nodes - candidate.id};
+ },
+ {0, 1, 2, 3}, random_context));
+
+ // Up to eight non-tx-relay peers that most recently sent us novel
+ // blocks should be protected from eviction.
+ BOOST_CHECK(!IsEvicted(
+ number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
+ candidate.m_last_block_time = std::chrono::seconds{number_of_nodes - candidate.id};
+ if (candidate.id <= 7) {
+ candidate.fRelayTxes = false;
+ candidate.fRelevantServices = true;
+ }
+ },
+ {0, 1, 2, 3, 4, 5, 6, 7}, random_context));
+
+ // Four peers that most recently sent us novel blocks should be
+ // protected from eviction.
+ BOOST_CHECK(!IsEvicted(
+ number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
+ candidate.m_last_block_time = std::chrono::seconds{number_of_nodes - candidate.id};
+ },
+ {0, 1, 2, 3}, random_context));
+
+ // Combination of the previous two tests.
+ BOOST_CHECK(!IsEvicted(
+ number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
+ candidate.m_last_block_time = std::chrono::seconds{number_of_nodes - candidate.id};
+ if (candidate.id <= 7) {
+ candidate.fRelayTxes = false;
+ candidate.fRelevantServices = true;
+ }
+ },
+ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, random_context));
+
+ // Combination of all tests above.
+ BOOST_CHECK(!IsEvicted(
+ number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
+ candidate.nKeyedNetGroup = number_of_nodes - candidate.id; // 4 protected
+ candidate.m_min_ping_time = std::chrono::microseconds{candidate.id}; // 8 protected
+ candidate.m_last_tx_time = std::chrono::seconds{number_of_nodes - candidate.id}; // 4 protected
+ candidate.m_last_block_time = std::chrono::seconds{number_of_nodes - candidate.id}; // 4 protected
+ },
+ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}, random_context));
+
+ // An eviction is expected given >= 29 random eviction candidates. The eviction logic protects at most
+ // four peers by net group, eight by lowest ping time, four by last time of novel tx, up to eight non-tx-relay
+ // peers by last novel block time, and four more peers by last novel block time.
+ if (number_of_nodes >= 29) {
+ BOOST_CHECK(SelectNodeToEvict(GetRandomNodeEvictionCandidates(number_of_nodes, random_context)));
+ }
+
+ // No eviction is expected given <= 20 random eviction candidates. The eviction logic protects at least
+ // four peers by net group, eight by lowest ping time, four by last time of novel tx and four peers by last
+ // novel block time.
+ if (number_of_nodes <= 20) {
+ BOOST_CHECK(!SelectNodeToEvict(GetRandomNodeEvictionCandidates(number_of_nodes, random_context)));
+ }
+
+ // Cases left to test:
+ // * "If any remaining peers are preferred for eviction consider only them. [...]"
+ // * "Identify the network group with the most connections and youngest member. [...]"
+ }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/net_tests.cpp b/src/test/net_tests.cpp
index a29c6a2665..908b030eea 100644
--- a/src/test/net_tests.cpp
+++ b/src/test/net_tests.cpp
@@ -1,20 +1,17 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <addrdb.h>
-#include <addrman.h>
#include <chainparams.h>
#include <clientversion.h>
#include <cstdint>
#include <net.h>
+#include <netaddress.h>
#include <netbase.h>
-#include <optional.h>
#include <serialize.h>
#include <span.h>
#include <streams.h>
#include <test/util/setup_common.h>
-#include <util/memory.h>
#include <util/strencodings.h>
#include <util/string.h>
#include <util/system.h>
@@ -25,74 +22,17 @@
#include <algorithm>
#include <ios>
#include <memory>
+#include <optional>
#include <string>
using namespace std::literals;
-class CAddrManSerializationMock : public CAddrMan
-{
-public:
- virtual void Serialize(CDataStream& s) const = 0;
-
- //! Ensure that bucket placement is always the same for testing purposes.
- void MakeDeterministic()
- {
- nKey.SetNull();
- insecure_rand = FastRandomContext(true);
- }
-};
-
-class CAddrManUncorrupted : public CAddrManSerializationMock
-{
-public:
- void Serialize(CDataStream& s) const override
- {
- CAddrMan::Serialize(s);
- }
-};
-
-class CAddrManCorrupted : public CAddrManSerializationMock
-{
-public:
- void Serialize(CDataStream& s) const override
- {
- // Produces corrupt output that claims addrman has 20 addrs when it only has one addr.
- unsigned char nVersion = 1;
- s << nVersion;
- s << ((unsigned char)32);
- s << nKey;
- s << 10; // nNew
- s << 10; // nTried
-
- int nUBuckets = ADDRMAN_NEW_BUCKET_COUNT ^ (1 << 30);
- s << nUBuckets;
-
- CService serv;
- BOOST_CHECK(Lookup("252.1.1.1", serv, 7777, false));
- CAddress addr = CAddress(serv, NODE_NONE);
- CNetAddr resolved;
- BOOST_CHECK(LookupHost("252.2.2.2", resolved, false));
- CAddrInfo info = CAddrInfo(addr, resolved);
- s << info;
- }
-};
-
-static CDataStream AddrmanToStream(const CAddrManSerializationMock& _addrman)
-{
- CDataStream ssPeersIn(SER_DISK, CLIENT_VERSION);
- ssPeersIn << Params().MessageStart();
- ssPeersIn << _addrman;
- std::string str = ssPeersIn.str();
- std::vector<unsigned char> vchData(str.begin(), str.end());
- return CDataStream(vchData, SER_DISK, CLIENT_VERSION);
-}
-
BOOST_FIXTURE_TEST_SUITE(net_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(cnode_listen_port)
{
// test default
- uint16_t port = GetListenPort();
+ uint16_t port{GetListenPort()};
BOOST_CHECK(port == Params().GetDefaultPort());
// test set port
uint16_t altPort = 12345;
@@ -101,85 +41,8 @@ BOOST_AUTO_TEST_CASE(cnode_listen_port)
BOOST_CHECK(port == altPort);
}
-BOOST_AUTO_TEST_CASE(caddrdb_read)
-{
- CAddrManUncorrupted addrmanUncorrupted;
- addrmanUncorrupted.MakeDeterministic();
-
- CService addr1, addr2, addr3;
- BOOST_CHECK(Lookup("250.7.1.1", addr1, 8333, false));
- BOOST_CHECK(Lookup("250.7.2.2", addr2, 9999, false));
- BOOST_CHECK(Lookup("250.7.3.3", addr3, 9999, false));
- BOOST_CHECK(Lookup("250.7.3.3"s, addr3, 9999, false));
- BOOST_CHECK(!Lookup("250.7.3.3\0example.com"s, addr3, 9999, false));
-
- // Add three addresses to new table.
- CService source;
- BOOST_CHECK(Lookup("252.5.1.1", source, 8333, false));
- BOOST_CHECK(addrmanUncorrupted.Add(CAddress(addr1, NODE_NONE), source));
- BOOST_CHECK(addrmanUncorrupted.Add(CAddress(addr2, NODE_NONE), source));
- BOOST_CHECK(addrmanUncorrupted.Add(CAddress(addr3, NODE_NONE), source));
-
- // Test that the de-serialization does not throw an exception.
- CDataStream ssPeers1 = AddrmanToStream(addrmanUncorrupted);
- bool exceptionThrown = false;
- CAddrMan addrman1;
-
- BOOST_CHECK(addrman1.size() == 0);
- try {
- unsigned char pchMsgTmp[4];
- ssPeers1 >> pchMsgTmp;
- ssPeers1 >> addrman1;
- } catch (const std::exception&) {
- exceptionThrown = true;
- }
-
- BOOST_CHECK(addrman1.size() == 3);
- BOOST_CHECK(exceptionThrown == false);
-
- // Test that CAddrDB::Read creates an addrman with the correct number of addrs.
- CDataStream ssPeers2 = AddrmanToStream(addrmanUncorrupted);
-
- CAddrMan addrman2;
- BOOST_CHECK(addrman2.size() == 0);
- BOOST_CHECK(CAddrDB::Read(addrman2, ssPeers2));
- BOOST_CHECK(addrman2.size() == 3);
-}
-
-
-BOOST_AUTO_TEST_CASE(caddrdb_read_corrupted)
-{
- CAddrManCorrupted addrmanCorrupted;
- addrmanCorrupted.MakeDeterministic();
-
- // Test that the de-serialization of corrupted addrman throws an exception.
- CDataStream ssPeers1 = AddrmanToStream(addrmanCorrupted);
- bool exceptionThrown = false;
- CAddrMan addrman1;
- BOOST_CHECK(addrman1.size() == 0);
- try {
- unsigned char pchMsgTmp[4];
- ssPeers1 >> pchMsgTmp;
- ssPeers1 >> addrman1;
- } catch (const std::exception&) {
- exceptionThrown = true;
- }
- // Even through de-serialization failed addrman is not left in a clean state.
- BOOST_CHECK(addrman1.size() == 1);
- BOOST_CHECK(exceptionThrown);
-
- // Test that CAddrDB::Read leaves addrman in a clean state if de-serialization fails.
- CDataStream ssPeers2 = AddrmanToStream(addrmanCorrupted);
-
- CAddrMan addrman2;
- BOOST_CHECK(addrman2.size() == 0);
- BOOST_CHECK(!CAddrDB::Read(addrman2, ssPeers2));
- BOOST_CHECK(addrman2.size() == 0);
-}
-
BOOST_AUTO_TEST_CASE(cnode_simple_test)
{
- SOCKET hSocket = INVALID_SOCKET;
NodeId id = 0;
in_addr ipv4Addr;
@@ -188,12 +51,16 @@ BOOST_AUTO_TEST_CASE(cnode_simple_test)
CAddress addr = CAddress(CService(ipv4Addr, 7777), NODE_NETWORK);
std::string pszDest;
- std::unique_ptr<CNode> pnode1 = MakeUnique<CNode>(
- id++, NODE_NETWORK, hSocket, addr,
- /* nKeyedNetGroupIn = */ 0,
- /* nLocalHostNonceIn = */ 0,
- CAddress(), pszDest, ConnectionType::OUTBOUND_FULL_RELAY,
- /* inbound_onion = */ false);
+ std::unique_ptr<CNode> pnode1 = std::make_unique<CNode>(id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr,
+ /*nKeyedNetGroupIn=*/0,
+ /*nLocalHostNonceIn=*/0,
+ CAddress(),
+ pszDest,
+ ConnectionType::OUTBOUND_FULL_RELAY,
+ /*inbound_onion=*/false);
BOOST_CHECK(pnode1->IsFullOutboundConn() == true);
BOOST_CHECK(pnode1->IsManualConn() == false);
BOOST_CHECK(pnode1->IsBlockOnlyConn() == false);
@@ -203,12 +70,16 @@ BOOST_AUTO_TEST_CASE(cnode_simple_test)
BOOST_CHECK(pnode1->m_inbound_onion == false);
BOOST_CHECK_EQUAL(pnode1->ConnectedThroughNetwork(), Network::NET_IPV4);
- std::unique_ptr<CNode> pnode2 = MakeUnique<CNode>(
- id++, NODE_NETWORK, hSocket, addr,
- /* nKeyedNetGroupIn = */ 1,
- /* nLocalHostNonceIn = */ 1,
- CAddress(), pszDest, ConnectionType::INBOUND,
- /* inbound_onion = */ false);
+ std::unique_ptr<CNode> pnode2 = std::make_unique<CNode>(id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr,
+ /*nKeyedNetGroupIn=*/1,
+ /*nLocalHostNonceIn=*/1,
+ CAddress(),
+ pszDest,
+ ConnectionType::INBOUND,
+ /*inbound_onion=*/false);
BOOST_CHECK(pnode2->IsFullOutboundConn() == false);
BOOST_CHECK(pnode2->IsManualConn() == false);
BOOST_CHECK(pnode2->IsBlockOnlyConn() == false);
@@ -218,12 +89,16 @@ BOOST_AUTO_TEST_CASE(cnode_simple_test)
BOOST_CHECK(pnode2->m_inbound_onion == false);
BOOST_CHECK_EQUAL(pnode2->ConnectedThroughNetwork(), Network::NET_IPV4);
- std::unique_ptr<CNode> pnode3 = MakeUnique<CNode>(
- id++, NODE_NETWORK, hSocket, addr,
- /* nKeyedNetGroupIn = */ 0,
- /* nLocalHostNonceIn = */ 0,
- CAddress(), pszDest, ConnectionType::OUTBOUND_FULL_RELAY,
- /* inbound_onion = */ false);
+ std::unique_ptr<CNode> pnode3 = std::make_unique<CNode>(id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr,
+ /*nKeyedNetGroupIn=*/0,
+ /*nLocalHostNonceIn=*/0,
+ CAddress(),
+ pszDest,
+ ConnectionType::OUTBOUND_FULL_RELAY,
+ /*inbound_onion=*/false);
BOOST_CHECK(pnode3->IsFullOutboundConn() == true);
BOOST_CHECK(pnode3->IsManualConn() == false);
BOOST_CHECK(pnode3->IsBlockOnlyConn() == false);
@@ -233,12 +108,16 @@ BOOST_AUTO_TEST_CASE(cnode_simple_test)
BOOST_CHECK(pnode3->m_inbound_onion == false);
BOOST_CHECK_EQUAL(pnode3->ConnectedThroughNetwork(), Network::NET_IPV4);
- std::unique_ptr<CNode> pnode4 = MakeUnique<CNode>(
- id++, NODE_NETWORK, hSocket, addr,
- /* nKeyedNetGroupIn = */ 1,
- /* nLocalHostNonceIn = */ 1,
- CAddress(), pszDest, ConnectionType::INBOUND,
- /* inbound_onion = */ true);
+ std::unique_ptr<CNode> pnode4 = std::make_unique<CNode>(id++,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr,
+ /*nKeyedNetGroupIn=*/1,
+ /*nLocalHostNonceIn=*/1,
+ CAddress(),
+ pszDest,
+ ConnectionType::INBOUND,
+ /*inbound_onion=*/true);
BOOST_CHECK(pnode4->IsFullOutboundConn() == false);
BOOST_CHECK(pnode4->IsManualConn() == false);
BOOST_CHECK(pnode4->IsBlockOnlyConn() == false);
@@ -300,16 +179,17 @@ BOOST_AUTO_TEST_CASE(cnetaddr_basic)
// IPv6, scoped/link-local. See https://tools.ietf.org/html/rfc4007
// We support non-negative decimal integers (uint32_t) as zone id indices.
- // Test with a fairly-high value, e.g. 32, to avoid locally reserved ids.
+ // Normal link-local scoped address functionality is to append "%" plus the
+ // zone id, for example, given a link-local address of "fe80::1" and a zone
+ // id of "32", return the address as "fe80::1%32".
const std::string link_local{"fe80::1"};
const std::string scoped_addr{link_local + "%32"};
BOOST_REQUIRE(LookupHost(scoped_addr, addr, false));
BOOST_REQUIRE(addr.IsValid());
BOOST_REQUIRE(addr.IsIPv6());
BOOST_CHECK(!addr.IsBindAny());
- const std::string addr_str{addr.ToString()};
- BOOST_CHECK(addr_str == scoped_addr || addr_str == "fe80:0:0:0:0:0:0:1");
- // The fallback case "fe80:0:0:0:0:0:0:1" is needed for macOS 10.14/10.15 and (probably) later.
+ BOOST_CHECK_EQUAL(addr.ToString(), scoped_addr);
+
// Test that the delimiter "%" and default zone id of 0 can be omitted for the default scope.
BOOST_REQUIRE(LookupHost(link_local + "%0", addr, false));
BOOST_REQUIRE(addr.IsValid());
@@ -317,15 +197,8 @@ BOOST_AUTO_TEST_CASE(cnetaddr_basic)
BOOST_CHECK(!addr.IsBindAny());
BOOST_CHECK_EQUAL(addr.ToString(), link_local);
- // TORv2
- BOOST_REQUIRE(addr.SetSpecial("6hzph5hv6337r6p2.onion"));
- BOOST_REQUIRE(addr.IsValid());
- BOOST_REQUIRE(addr.IsTor());
-
- BOOST_CHECK(!addr.IsI2P());
- BOOST_CHECK(!addr.IsBindAny());
- BOOST_CHECK(addr.IsAddrV1Compatible());
- BOOST_CHECK_EQUAL(addr.ToString(), "6hzph5hv6337r6p2.onion");
+ // TORv2, no longer supported
+ BOOST_CHECK(!addr.SetSpecial("6hzph5hv6337r6p2.onion"));
// TORv3
const char* torv3_addr = "pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion";
@@ -396,6 +269,60 @@ BOOST_AUTO_TEST_CASE(cnetaddr_basic)
BOOST_CHECK(!addr.SetSpecial("totally bogus"));
}
+BOOST_AUTO_TEST_CASE(cnetaddr_tostring_canonical_ipv6)
+{
+ // Test that CNetAddr::ToString formats IPv6 addresses with zero compression as described in
+ // RFC 5952 ("A Recommendation for IPv6 Address Text Representation").
+ const std::map<std::string, std::string> canonical_representations_ipv6{
+ {"0000:0000:0000:0000:0000:0000:0000:0000", "::"},
+ {"000:0000:000:00:0:00:000:0000", "::"},
+ {"000:000:000:000:000:000:000:000", "::"},
+ {"00:00:00:00:00:00:00:00", "::"},
+ {"0:0:0:0:0:0:0:0", "::"},
+ {"0:0:0:0:0:0:0:1", "::1"},
+ {"2001:0:0:1:0:0:0:1", "2001:0:0:1::1"},
+ {"2001:0db8:0:0:1:0:0:1", "2001:db8::1:0:0:1"},
+ {"2001:0db8:85a3:0000:0000:8a2e:0370:7334", "2001:db8:85a3::8a2e:370:7334"},
+ {"2001:0db8::0001", "2001:db8::1"},
+ {"2001:0db8::0001:0000", "2001:db8::1:0"},
+ {"2001:0db8::1:0:0:1", "2001:db8::1:0:0:1"},
+ {"2001:db8:0000:0:1::1", "2001:db8::1:0:0:1"},
+ {"2001:db8:0000:1:1:1:1:1", "2001:db8:0:1:1:1:1:1"},
+ {"2001:db8:0:0:0:0:2:1", "2001:db8::2:1"},
+ {"2001:db8:0:0:0::1", "2001:db8::1"},
+ {"2001:db8:0:0:1:0:0:1", "2001:db8::1:0:0:1"},
+ {"2001:db8:0:0:1::1", "2001:db8::1:0:0:1"},
+ {"2001:DB8:0:0:1::1", "2001:db8::1:0:0:1"},
+ {"2001:db8:0:0::1", "2001:db8::1"},
+ {"2001:db8:0:0:aaaa::1", "2001:db8::aaaa:0:0:1"},
+ {"2001:db8:0:1:1:1:1:1", "2001:db8:0:1:1:1:1:1"},
+ {"2001:db8:0::1", "2001:db8::1"},
+ {"2001:db8:85a3:0:0:8a2e:370:7334", "2001:db8:85a3::8a2e:370:7334"},
+ {"2001:db8::0:1", "2001:db8::1"},
+ {"2001:db8::0:1:0:0:1", "2001:db8::1:0:0:1"},
+ {"2001:DB8::1", "2001:db8::1"},
+ {"2001:db8::1", "2001:db8::1"},
+ {"2001:db8::1:0:0:1", "2001:db8::1:0:0:1"},
+ {"2001:db8::1:1:1:1:1", "2001:db8:0:1:1:1:1:1"},
+ {"2001:db8::aaaa:0:0:1", "2001:db8::aaaa:0:0:1"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:0:1", "2001:db8:aaaa:bbbb:cccc:dddd:0:1"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd::1", "2001:db8:aaaa:bbbb:cccc:dddd:0:1"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:eeee:0001", "2001:db8:aaaa:bbbb:cccc:dddd:eeee:1"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:eeee:001", "2001:db8:aaaa:bbbb:cccc:dddd:eeee:1"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:eeee:01", "2001:db8:aaaa:bbbb:cccc:dddd:eeee:1"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:eeee:1", "2001:db8:aaaa:bbbb:cccc:dddd:eeee:1"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:eeee:aaaa", "2001:db8:aaaa:bbbb:cccc:dddd:eeee:aaaa"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:eeee:AAAA", "2001:db8:aaaa:bbbb:cccc:dddd:eeee:aaaa"},
+ {"2001:db8:aaaa:bbbb:cccc:dddd:eeee:AaAa", "2001:db8:aaaa:bbbb:cccc:dddd:eeee:aaaa"},
+ };
+ for (const auto& [input_address, expected_canonical_representation_output] : canonical_representations_ipv6) {
+ CNetAddr net_addr;
+ BOOST_REQUIRE(LookupHost(input_address, net_addr, false));
+ BOOST_REQUIRE(net_addr.IsIPv6());
+ BOOST_CHECK_EQUAL(net_addr.ToString(), expected_canonical_representation_output);
+ }
+}
+
BOOST_AUTO_TEST_CASE(cnetaddr_serialize_v1)
{
CNetAddr addr;
@@ -415,10 +342,8 @@ BOOST_AUTO_TEST_CASE(cnetaddr_serialize_v1)
BOOST_CHECK_EQUAL(HexStr(s), "1a1b2a2b3a3b4a4b5a5b6a6b7a7b8a8b");
s.clear();
- BOOST_REQUIRE(addr.SetSpecial("6hzph5hv6337r6p2.onion"));
- s << addr;
- BOOST_CHECK_EQUAL(HexStr(s), "fd87d87eeb43f1f2f3f4f5f6f7f8f9fa");
- s.clear();
+ // TORv2, no longer supported
+ BOOST_CHECK(!addr.SetSpecial("6hzph5hv6337r6p2.onion"));
BOOST_REQUIRE(addr.SetSpecial("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion"));
s << addr;
@@ -453,10 +378,8 @@ BOOST_AUTO_TEST_CASE(cnetaddr_serialize_v2)
BOOST_CHECK_EQUAL(HexStr(s), "02101a1b2a2b3a3b4a4b5a5b6a6b7a7b8a8b");
s.clear();
- BOOST_REQUIRE(addr.SetSpecial("6hzph5hv6337r6p2.onion"));
- s << addr;
- BOOST_CHECK_EQUAL(HexStr(s), "030af1f2f3f4f5f6f7f8f9fa");
- s.clear();
+ // TORv2, no longer supported
+ BOOST_CHECK(!addr.SetSpecial("6hzph5hv6337r6p2.onion"));
BOOST_REQUIRE(addr.SetSpecial("kpgvmscirrdqpekbqjsvw5teanhatztpp2gl6eee4zkowvwfxwenqaid.onion"));
s << addr;
@@ -478,9 +401,9 @@ BOOST_AUTO_TEST_CASE(cnetaddr_unserialize_v2)
s.SetVersion(s.GetVersion() | ADDRV2_FORMAT);
// Valid IPv4.
- s << MakeSpan(ParseHex("01" // network type (IPv4)
- "04" // address length
- "01020304")); // address
+ s << Span{ParseHex("01" // network type (IPv4)
+ "04" // address length
+ "01020304")}; // address
s >> addr;
BOOST_CHECK(addr.IsValid());
BOOST_CHECK(addr.IsIPv4());
@@ -489,35 +412,35 @@ BOOST_AUTO_TEST_CASE(cnetaddr_unserialize_v2)
BOOST_REQUIRE(s.empty());
// Invalid IPv4, valid length but address itself is shorter.
- s << MakeSpan(ParseHex("01" // network type (IPv4)
- "04" // address length
- "0102")); // address
+ s << Span{ParseHex("01" // network type (IPv4)
+ "04" // address length
+ "0102")}; // address
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure, HasReason("end of data"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Invalid IPv4, with bogus length.
- s << MakeSpan(ParseHex("01" // network type (IPv4)
- "05" // address length
- "01020304")); // address
+ s << Span{ParseHex("01" // network type (IPv4)
+ "05" // address length
+ "01020304")}; // address
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
HasReason("BIP155 IPv4 address with length 5 (should be 4)"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Invalid IPv4, with extreme length.
- s << MakeSpan(ParseHex("01" // network type (IPv4)
- "fd0102" // address length (513 as CompactSize)
- "01020304")); // address
+ s << Span{ParseHex("01" // network type (IPv4)
+ "fd0102" // address length (513 as CompactSize)
+ "01020304")}; // address
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
HasReason("Address too long: 513 > 512"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Valid IPv6.
- s << MakeSpan(ParseHex("02" // network type (IPv6)
- "10" // address length
- "0102030405060708090a0b0c0d0e0f10")); // address
+ s << Span{ParseHex("02" // network type (IPv6)
+ "10" // address length
+ "0102030405060708090a0b0c0d0e0f10")}; // address
s >> addr;
BOOST_CHECK(addr.IsValid());
BOOST_CHECK(addr.IsIPv6());
@@ -526,10 +449,10 @@ BOOST_AUTO_TEST_CASE(cnetaddr_unserialize_v2)
BOOST_REQUIRE(s.empty());
// Valid IPv6, contains embedded "internal".
- s << MakeSpan(ParseHex(
+ s << Span{ParseHex(
"02" // network type (IPv6)
"10" // address length
- "fd6b88c08724ca978112ca1bbdcafac2")); // address: 0xfd + sha256("bitcoin")[0:5] +
+ "fd6b88c08724ca978112ca1bbdcafac2")}; // address: 0xfd + sha256("bitcoin")[0:5] +
// sha256(name)[0:10]
s >> addr;
BOOST_CHECK(addr.IsInternal());
@@ -538,56 +461,44 @@ BOOST_AUTO_TEST_CASE(cnetaddr_unserialize_v2)
BOOST_REQUIRE(s.empty());
// Invalid IPv6, with bogus length.
- s << MakeSpan(ParseHex("02" // network type (IPv6)
- "04" // address length
- "00")); // address
+ s << Span{ParseHex("02" // network type (IPv6)
+ "04" // address length
+ "00")}; // address
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
HasReason("BIP155 IPv6 address with length 4 (should be 16)"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Invalid IPv6, contains embedded IPv4.
- s << MakeSpan(ParseHex("02" // network type (IPv6)
- "10" // address length
- "00000000000000000000ffff01020304")); // address
+ s << Span{ParseHex("02" // network type (IPv6)
+ "10" // address length
+ "00000000000000000000ffff01020304")}; // address
s >> addr;
BOOST_CHECK(!addr.IsValid());
BOOST_REQUIRE(s.empty());
// Invalid IPv6, contains embedded TORv2.
- s << MakeSpan(ParseHex("02" // network type (IPv6)
- "10" // address length
- "fd87d87eeb430102030405060708090a")); // address
+ s << Span{ParseHex("02" // network type (IPv6)
+ "10" // address length
+ "fd87d87eeb430102030405060708090a")}; // address
s >> addr;
BOOST_CHECK(!addr.IsValid());
BOOST_REQUIRE(s.empty());
- // Valid TORv2.
- s << MakeSpan(ParseHex("03" // network type (TORv2)
- "0a" // address length
- "f1f2f3f4f5f6f7f8f9fa")); // address
+ // TORv2, no longer supported.
+ s << Span{ParseHex("03" // network type (TORv2)
+ "0a" // address length
+ "f1f2f3f4f5f6f7f8f9fa")}; // address
s >> addr;
- BOOST_CHECK(addr.IsValid());
- BOOST_CHECK(addr.IsTor());
- BOOST_CHECK(addr.IsAddrV1Compatible());
- BOOST_CHECK_EQUAL(addr.ToString(), "6hzph5hv6337r6p2.onion");
+ BOOST_CHECK(!addr.IsValid());
BOOST_REQUIRE(s.empty());
- // Invalid TORv2, with bogus length.
- s << MakeSpan(ParseHex("03" // network type (TORv2)
- "07" // address length
- "00")); // address
- BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
- HasReason("BIP155 TORv2 address with length 7 (should be 10)"));
- BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
- s.clear();
-
// Valid TORv3.
- s << MakeSpan(ParseHex("04" // network type (TORv3)
- "20" // address length
- "79bcc625184b05194975c28b66b66b04" // address
- "69f7f6556fb1ac3189a79b40dda32f1f"
- ));
+ s << Span{ParseHex("04" // network type (TORv3)
+ "20" // address length
+ "79bcc625184b05194975c28b66b66b04" // address
+ "69f7f6556fb1ac3189a79b40dda32f1f"
+ )};
s >> addr;
BOOST_CHECK(addr.IsValid());
BOOST_CHECK(addr.IsTor());
@@ -597,20 +508,20 @@ BOOST_AUTO_TEST_CASE(cnetaddr_unserialize_v2)
BOOST_REQUIRE(s.empty());
// Invalid TORv3, with bogus length.
- s << MakeSpan(ParseHex("04" // network type (TORv3)
- "00" // address length
- "00" // address
- ));
+ s << Span{ParseHex("04" // network type (TORv3)
+ "00" // address length
+ "00" // address
+ )};
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
HasReason("BIP155 TORv3 address with length 0 (should be 32)"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Valid I2P.
- s << MakeSpan(ParseHex("05" // network type (I2P)
- "20" // address length
- "a2894dabaec08c0051a481a6dac88b64" // address
- "f98232ae42d4b6fd2fa81952dfe36a87"));
+ s << Span{ParseHex("05" // network type (I2P)
+ "20" // address length
+ "a2894dabaec08c0051a481a6dac88b64" // address
+ "f98232ae42d4b6fd2fa81952dfe36a87")};
s >> addr;
BOOST_CHECK(addr.IsValid());
BOOST_CHECK(addr.IsI2P());
@@ -620,20 +531,20 @@ BOOST_AUTO_TEST_CASE(cnetaddr_unserialize_v2)
BOOST_REQUIRE(s.empty());
// Invalid I2P, with bogus length.
- s << MakeSpan(ParseHex("05" // network type (I2P)
- "03" // address length
- "00" // address
- ));
+ s << Span{ParseHex("05" // network type (I2P)
+ "03" // address length
+ "00" // address
+ )};
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
HasReason("BIP155 I2P address with length 3 (should be 32)"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Valid CJDNS.
- s << MakeSpan(ParseHex("06" // network type (CJDNS)
- "10" // address length
- "fc000001000200030004000500060007" // address
- ));
+ s << Span{ParseHex("06" // network type (CJDNS)
+ "10" // address length
+ "fc000001000200030004000500060007" // address
+ )};
s >> addr;
BOOST_CHECK(addr.IsValid());
BOOST_CHECK(addr.IsCJDNS());
@@ -642,49 +553,49 @@ BOOST_AUTO_TEST_CASE(cnetaddr_unserialize_v2)
BOOST_REQUIRE(s.empty());
// Invalid CJDNS, wrong prefix.
- s << MakeSpan(ParseHex("06" // network type (CJDNS)
- "10" // address length
- "aa000001000200030004000500060007" // address
- ));
+ s << Span{ParseHex("06" // network type (CJDNS)
+ "10" // address length
+ "aa000001000200030004000500060007" // address
+ )};
s >> addr;
BOOST_CHECK(addr.IsCJDNS());
BOOST_CHECK(!addr.IsValid());
BOOST_REQUIRE(s.empty());
// Invalid CJDNS, with bogus length.
- s << MakeSpan(ParseHex("06" // network type (CJDNS)
- "01" // address length
- "00" // address
- ));
+ s << Span{ParseHex("06" // network type (CJDNS)
+ "01" // address length
+ "00" // address
+ )};
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
HasReason("BIP155 CJDNS address with length 1 (should be 16)"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Unknown, with extreme length.
- s << MakeSpan(ParseHex("aa" // network type (unknown)
- "fe00000002" // address length (CompactSize's MAX_SIZE)
- "01020304050607" // address
- ));
+ s << Span{ParseHex("aa" // network type (unknown)
+ "fe00000002" // address length (CompactSize's MAX_SIZE)
+ "01020304050607" // address
+ )};
BOOST_CHECK_EXCEPTION(s >> addr, std::ios_base::failure,
HasReason("Address too long: 33554432 > 512"));
BOOST_REQUIRE(!s.empty()); // The stream is not consumed on invalid input.
s.clear();
// Unknown, with reasonable length.
- s << MakeSpan(ParseHex("aa" // network type (unknown)
- "04" // address length
- "01020304" // address
- ));
+ s << Span{ParseHex("aa" // network type (unknown)
+ "04" // address length
+ "01020304" // address
+ )};
s >> addr;
BOOST_CHECK(!addr.IsValid());
BOOST_REQUIRE(s.empty());
// Unknown, with zero length.
- s << MakeSpan(ParseHex("aa" // network type (unknown)
- "00" // address length
- "" // address
- ));
+ s << Span{ParseHex("aa" // network type (unknown)
+ "00" // address length
+ "" // address
+ )};
s >> addr;
BOOST_CHECK(!addr.IsValid());
BOOST_REQUIRE(s.empty());
@@ -697,7 +608,7 @@ BOOST_AUTO_TEST_CASE(ipv4_peer_with_ipv6_addrMe_test)
// that a normal IPv4 address is among the entries, but if this address is
// !IsRoutable the undefined behavior is easier to trigger deterministically
{
- LOCK(cs_mapLocalHost);
+ LOCK(g_maplocalhost_mutex);
in_addr ipv4AddrLocal;
ipv4AddrLocal.s_addr = 0x0100007f;
CNetAddr addr = CNetAddr(ipv4AddrLocal);
@@ -711,7 +622,16 @@ BOOST_AUTO_TEST_CASE(ipv4_peer_with_ipv6_addrMe_test)
in_addr ipv4AddrPeer;
ipv4AddrPeer.s_addr = 0xa0b0c001;
CAddress addr = CAddress(CService(ipv4AddrPeer, 7777), NODE_NETWORK);
- std::unique_ptr<CNode> pnode = MakeUnique<CNode>(0, NODE_NETWORK, INVALID_SOCKET, addr, /* nKeyedNetGroupIn */ 0, /* nLocalHostNonceIn */ 0, CAddress{}, /* pszDest */ std::string{}, ConnectionType::OUTBOUND_FULL_RELAY, /* inbound_onion */ false);
+ std::unique_ptr<CNode> pnode = std::make_unique<CNode>(/*id=*/0,
+ NODE_NETWORK,
+ /*sock=*/nullptr,
+ addr,
+ /*nKeyedNetGroupIn=*/0,
+ /*nLocalHostNonceIn=*/0,
+ CAddress{},
+ /*pszDest=*/std::string{},
+ ConnectionType::OUTBOUND_FULL_RELAY,
+ /*inbound_onion=*/false);
pnode->fSuccessfullyConnected.store(true);
// the peer claims to be reaching us via IPv6
@@ -731,37 +651,42 @@ BOOST_AUTO_TEST_CASE(ipv4_peer_with_ipv6_addrMe_test)
BOOST_AUTO_TEST_CASE(LimitedAndReachable_Network)
{
- BOOST_CHECK_EQUAL(IsReachable(NET_IPV4), true);
- BOOST_CHECK_EQUAL(IsReachable(NET_IPV6), true);
- BOOST_CHECK_EQUAL(IsReachable(NET_ONION), true);
+ BOOST_CHECK(IsReachable(NET_IPV4));
+ BOOST_CHECK(IsReachable(NET_IPV6));
+ BOOST_CHECK(IsReachable(NET_ONION));
+ BOOST_CHECK(IsReachable(NET_I2P));
SetReachable(NET_IPV4, false);
SetReachable(NET_IPV6, false);
SetReachable(NET_ONION, false);
+ SetReachable(NET_I2P, false);
- BOOST_CHECK_EQUAL(IsReachable(NET_IPV4), false);
- BOOST_CHECK_EQUAL(IsReachable(NET_IPV6), false);
- BOOST_CHECK_EQUAL(IsReachable(NET_ONION), false);
+ BOOST_CHECK(!IsReachable(NET_IPV4));
+ BOOST_CHECK(!IsReachable(NET_IPV6));
+ BOOST_CHECK(!IsReachable(NET_ONION));
+ BOOST_CHECK(!IsReachable(NET_I2P));
SetReachable(NET_IPV4, true);
SetReachable(NET_IPV6, true);
SetReachable(NET_ONION, true);
+ SetReachable(NET_I2P, true);
- BOOST_CHECK_EQUAL(IsReachable(NET_IPV4), true);
- BOOST_CHECK_EQUAL(IsReachable(NET_IPV6), true);
- BOOST_CHECK_EQUAL(IsReachable(NET_ONION), true);
+ BOOST_CHECK(IsReachable(NET_IPV4));
+ BOOST_CHECK(IsReachable(NET_IPV6));
+ BOOST_CHECK(IsReachable(NET_ONION));
+ BOOST_CHECK(IsReachable(NET_I2P));
}
BOOST_AUTO_TEST_CASE(LimitedAndReachable_NetworkCaseUnroutableAndInternal)
{
- BOOST_CHECK_EQUAL(IsReachable(NET_UNROUTABLE), true);
- BOOST_CHECK_EQUAL(IsReachable(NET_INTERNAL), true);
+ BOOST_CHECK(IsReachable(NET_UNROUTABLE));
+ BOOST_CHECK(IsReachable(NET_INTERNAL));
SetReachable(NET_UNROUTABLE, false);
SetReachable(NET_INTERNAL, false);
- BOOST_CHECK_EQUAL(IsReachable(NET_UNROUTABLE), true); // Ignored for both networks
- BOOST_CHECK_EQUAL(IsReachable(NET_INTERNAL), true);
+ BOOST_CHECK(IsReachable(NET_UNROUTABLE)); // Ignored for both networks
+ BOOST_CHECK(IsReachable(NET_INTERNAL));
}
CNetAddr UtilBuildAddress(unsigned char p1, unsigned char p2, unsigned char p3, unsigned char p4)
@@ -780,10 +705,10 @@ BOOST_AUTO_TEST_CASE(LimitedAndReachable_CNetAddr)
CNetAddr addr = UtilBuildAddress(0x001, 0x001, 0x001, 0x001); // 1.1.1.1
SetReachable(NET_IPV4, true);
- BOOST_CHECK_EQUAL(IsReachable(addr), true);
+ BOOST_CHECK(IsReachable(addr));
SetReachable(NET_IPV4, false);
- BOOST_CHECK_EQUAL(IsReachable(addr), false);
+ BOOST_CHECK(!IsReachable(addr));
SetReachable(NET_IPV4, true); // have to reset this, because this is stateful.
}
@@ -795,155 +720,12 @@ BOOST_AUTO_TEST_CASE(LocalAddress_BasicLifecycle)
SetReachable(NET_IPV4, true);
- BOOST_CHECK_EQUAL(IsLocal(addr), false);
- BOOST_CHECK_EQUAL(AddLocal(addr, 1000), true);
- BOOST_CHECK_EQUAL(IsLocal(addr), true);
+ BOOST_CHECK(!IsLocal(addr));
+ BOOST_CHECK(AddLocal(addr, 1000));
+ BOOST_CHECK(IsLocal(addr));
RemoveLocal(addr);
- BOOST_CHECK_EQUAL(IsLocal(addr), false);
-}
-
-std::vector<NodeEvictionCandidate> GetRandomNodeEvictionCandidates(const int n_candidates, FastRandomContext& random_context)
-{
- std::vector<NodeEvictionCandidate> candidates;
- for (int id = 0; id < n_candidates; ++id) {
- candidates.push_back({
- /* id */ id,
- /* nTimeConnected */ static_cast<int64_t>(random_context.randrange(100)),
- /* m_min_ping_time */ std::chrono::microseconds{random_context.randrange(100)},
- /* nLastBlockTime */ static_cast<int64_t>(random_context.randrange(100)),
- /* nLastTXTime */ static_cast<int64_t>(random_context.randrange(100)),
- /* fRelevantServices */ random_context.randbool(),
- /* fRelayTxes */ random_context.randbool(),
- /* fBloomFilter */ random_context.randbool(),
- /* nKeyedNetGroup */ random_context.randrange(100),
- /* prefer_evict */ random_context.randbool(),
- /* m_is_local */ random_context.randbool(),
- });
- }
- return candidates;
-}
-
-// Returns true if any of the node ids in node_ids are selected for eviction.
-bool IsEvicted(std::vector<NodeEvictionCandidate> candidates, const std::vector<NodeId>& node_ids, FastRandomContext& random_context)
-{
- Shuffle(candidates.begin(), candidates.end(), random_context);
- const Optional<NodeId> evicted_node_id = SelectNodeToEvict(std::move(candidates));
- if (!evicted_node_id) {
- return false;
- }
- return std::find(node_ids.begin(), node_ids.end(), *evicted_node_id) != node_ids.end();
-}
-
-// Create number_of_nodes random nodes, apply setup function candidate_setup_fn,
-// apply eviction logic and then return true if any of the node ids in node_ids
-// are selected for eviction.
-bool IsEvicted(const int number_of_nodes, std::function<void(NodeEvictionCandidate&)> candidate_setup_fn, const std::vector<NodeId>& node_ids, FastRandomContext& random_context)
-{
- std::vector<NodeEvictionCandidate> candidates = GetRandomNodeEvictionCandidates(number_of_nodes, random_context);
- for (NodeEvictionCandidate& candidate : candidates) {
- candidate_setup_fn(candidate);
- }
- return IsEvicted(candidates, node_ids, random_context);
-}
-
-namespace {
-constexpr int NODE_EVICTION_TEST_ROUNDS{10};
-constexpr int NODE_EVICTION_TEST_UP_TO_N_NODES{200};
-} // namespace
-
-BOOST_AUTO_TEST_CASE(node_eviction_test)
-{
- FastRandomContext random_context{true};
-
- for (int i = 0; i < NODE_EVICTION_TEST_ROUNDS; ++i) {
- for (int number_of_nodes = 0; number_of_nodes < NODE_EVICTION_TEST_UP_TO_N_NODES; ++number_of_nodes) {
- // Four nodes with the highest keyed netgroup values should be
- // protected from eviction.
- BOOST_CHECK(!IsEvicted(
- number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
- candidate.nKeyedNetGroup = number_of_nodes - candidate.id;
- },
- {0, 1, 2, 3}, random_context));
-
- // Eight nodes with the lowest minimum ping time should be protected
- // from eviction.
- BOOST_CHECK(!IsEvicted(
- number_of_nodes, [](NodeEvictionCandidate& candidate) {
- candidate.m_min_ping_time = std::chrono::microseconds{candidate.id};
- },
- {0, 1, 2, 3, 4, 5, 6, 7}, random_context));
-
- // Four nodes that most recently sent us novel transactions accepted
- // into our mempool should be protected from eviction.
- BOOST_CHECK(!IsEvicted(
- number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
- candidate.nLastTXTime = number_of_nodes - candidate.id;
- },
- {0, 1, 2, 3}, random_context));
-
- // Up to eight non-tx-relay peers that most recently sent us novel
- // blocks should be protected from eviction.
- BOOST_CHECK(!IsEvicted(
- number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
- candidate.nLastBlockTime = number_of_nodes - candidate.id;
- if (candidate.id <= 7) {
- candidate.fRelayTxes = false;
- candidate.fRelevantServices = true;
- }
- },
- {0, 1, 2, 3, 4, 5, 6, 7}, random_context));
-
- // Four peers that most recently sent us novel blocks should be
- // protected from eviction.
- BOOST_CHECK(!IsEvicted(
- number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
- candidate.nLastBlockTime = number_of_nodes - candidate.id;
- },
- {0, 1, 2, 3}, random_context));
-
- // Combination of the previous two tests.
- BOOST_CHECK(!IsEvicted(
- number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
- candidate.nLastBlockTime = number_of_nodes - candidate.id;
- if (candidate.id <= 7) {
- candidate.fRelayTxes = false;
- candidate.fRelevantServices = true;
- }
- },
- {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, random_context));
-
- // Combination of all tests above.
- BOOST_CHECK(!IsEvicted(
- number_of_nodes, [number_of_nodes](NodeEvictionCandidate& candidate) {
- candidate.nKeyedNetGroup = number_of_nodes - candidate.id; // 4 protected
- candidate.m_min_ping_time = std::chrono::microseconds{candidate.id}; // 8 protected
- candidate.nLastTXTime = number_of_nodes - candidate.id; // 4 protected
- candidate.nLastBlockTime = number_of_nodes - candidate.id; // 4 protected
- },
- {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}, random_context));
-
- // An eviction is expected given >= 29 random eviction candidates. The eviction logic protects at most
- // four peers by net group, eight by lowest ping time, four by last time of novel tx, up to eight non-tx-relay
- // peers by last novel block time, and four more peers by last novel block time.
- if (number_of_nodes >= 29) {
- BOOST_CHECK(SelectNodeToEvict(GetRandomNodeEvictionCandidates(number_of_nodes, random_context)));
- }
-
- // No eviction is expected given <= 20 random eviction candidates. The eviction logic protects at least
- // four peers by net group, eight by lowest ping time, four by last time of novel tx and four peers by last
- // novel block time.
- if (number_of_nodes <= 20) {
- BOOST_CHECK(!SelectNodeToEvict(GetRandomNodeEvictionCandidates(number_of_nodes, random_context)));
- }
-
- // Cases left to test:
- // * "Protect the half of the remaining nodes which have been connected the longest. [...]"
- // * "Pick out up to 1/4 peers that are localhost, sorted by longest uptime. [...]"
- // * "If any remaining peers are preferred for eviction consider only them. [...]"
- // * "Identify the network group with the most connections and youngest member. [...]"
- }
- }
+ BOOST_CHECK(!IsLocal(addr));
}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/netbase_tests.cpp b/src/test/netbase_tests.cpp
index 66ad7bb5ea..6410ac565a 100644
--- a/src/test/netbase_tests.cpp
+++ b/src/test/netbase_tests.cpp
@@ -1,8 +1,9 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <net_permissions.h>
+#include <netaddress.h>
#include <netbase.h>
#include <protocol.h>
#include <serialize.h>
@@ -43,13 +44,12 @@ static CNetAddr CreateInternal(const std::string& host)
BOOST_AUTO_TEST_CASE(netbase_networks)
{
- BOOST_CHECK(ResolveIP("127.0.0.1").GetNetwork() == NET_UNROUTABLE);
- BOOST_CHECK(ResolveIP("::1").GetNetwork() == NET_UNROUTABLE);
- BOOST_CHECK(ResolveIP("8.8.8.8").GetNetwork() == NET_IPV4);
- BOOST_CHECK(ResolveIP("2001::8888").GetNetwork() == NET_IPV6);
- BOOST_CHECK(ResolveIP("FD87:D87E:EB43:edb1:8e4:3588:e546:35ca").GetNetwork() == NET_ONION);
- BOOST_CHECK(CreateInternal("foo.com").GetNetwork() == NET_INTERNAL);
-
+ BOOST_CHECK(ResolveIP("127.0.0.1").GetNetwork() == NET_UNROUTABLE);
+ BOOST_CHECK(ResolveIP("::1").GetNetwork() == NET_UNROUTABLE);
+ BOOST_CHECK(ResolveIP("8.8.8.8").GetNetwork() == NET_IPV4);
+ BOOST_CHECK(ResolveIP("2001::8888").GetNetwork() == NET_IPV6);
+ BOOST_CHECK(ResolveIP("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion").GetNetwork() == NET_ONION);
+ BOOST_CHECK(CreateInternal("foo.com").GetNetwork() == NET_INTERNAL);
}
BOOST_AUTO_TEST_CASE(netbase_properties)
@@ -72,7 +72,7 @@ BOOST_AUTO_TEST_CASE(netbase_properties)
BOOST_CHECK(ResolveIP("2001:20::").IsRFC7343());
BOOST_CHECK(ResolveIP("FE80::").IsRFC4862());
BOOST_CHECK(ResolveIP("64:FF9B::").IsRFC6052());
- BOOST_CHECK(ResolveIP("FD87:D87E:EB43:edb1:8e4:3588:e546:35ca").IsTor());
+ BOOST_CHECK(ResolveIP("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion").IsTor());
BOOST_CHECK(ResolveIP("127.0.0.1").IsLocal());
BOOST_CHECK(ResolveIP("::1").IsLocal());
BOOST_CHECK(ResolveIP("8.8.8.8").IsRoutable());
@@ -83,31 +83,31 @@ BOOST_AUTO_TEST_CASE(netbase_properties)
}
-bool static TestSplitHost(std::string test, std::string host, int port)
+bool static TestSplitHost(const std::string& test, const std::string& host, uint16_t port)
{
std::string hostOut;
- int portOut = -1;
+ uint16_t portOut{0};
SplitHostPort(test, portOut, hostOut);
return hostOut == host && port == portOut;
}
BOOST_AUTO_TEST_CASE(netbase_splithost)
{
- BOOST_CHECK(TestSplitHost("www.bitcoincore.org", "www.bitcoincore.org", -1));
- BOOST_CHECK(TestSplitHost("[www.bitcoincore.org]", "www.bitcoincore.org", -1));
+ BOOST_CHECK(TestSplitHost("www.bitcoincore.org", "www.bitcoincore.org", 0));
+ BOOST_CHECK(TestSplitHost("[www.bitcoincore.org]", "www.bitcoincore.org", 0));
BOOST_CHECK(TestSplitHost("www.bitcoincore.org:80", "www.bitcoincore.org", 80));
BOOST_CHECK(TestSplitHost("[www.bitcoincore.org]:80", "www.bitcoincore.org", 80));
- BOOST_CHECK(TestSplitHost("127.0.0.1", "127.0.0.1", -1));
+ BOOST_CHECK(TestSplitHost("127.0.0.1", "127.0.0.1", 0));
BOOST_CHECK(TestSplitHost("127.0.0.1:8333", "127.0.0.1", 8333));
- BOOST_CHECK(TestSplitHost("[127.0.0.1]", "127.0.0.1", -1));
+ BOOST_CHECK(TestSplitHost("[127.0.0.1]", "127.0.0.1", 0));
BOOST_CHECK(TestSplitHost("[127.0.0.1]:8333", "127.0.0.1", 8333));
- BOOST_CHECK(TestSplitHost("::ffff:127.0.0.1", "::ffff:127.0.0.1", -1));
+ BOOST_CHECK(TestSplitHost("::ffff:127.0.0.1", "::ffff:127.0.0.1", 0));
BOOST_CHECK(TestSplitHost("[::ffff:127.0.0.1]:8333", "::ffff:127.0.0.1", 8333));
BOOST_CHECK(TestSplitHost("[::]:8333", "::", 8333));
- BOOST_CHECK(TestSplitHost("::8333", "::8333", -1));
+ BOOST_CHECK(TestSplitHost("::8333", "::8333", 0));
BOOST_CHECK(TestSplitHost(":8333", "", 8333));
BOOST_CHECK(TestSplitHost("[]:8333", "", 8333));
- BOOST_CHECK(TestSplitHost("", "", -1));
+ BOOST_CHECK(TestSplitHost("", "", 0));
}
bool static TestParse(std::string src, std::string canon)
@@ -132,18 +132,6 @@ BOOST_AUTO_TEST_CASE(netbase_lookupnumeric)
BOOST_CHECK(TestParse("[fd6c:88c0:8724:1:2:3:4:5]", "[fd6c:88c0:8724:1:2:3:4:5]:65535"));
}
-BOOST_AUTO_TEST_CASE(onioncat_test)
-{
- // values from https://web.archive.org/web/20121122003543/http://www.cypherpunk.at/onioncat/wiki/OnionCat
- CNetAddr addr1(ResolveIP("5wyqrzbvrdsumnok.onion"));
- CNetAddr addr2(ResolveIP("FD87:D87E:EB43:edb1:8e4:3588:e546:35ca"));
- BOOST_CHECK(addr1 == addr2);
- BOOST_CHECK(addr1.IsTor());
- BOOST_CHECK(addr1.ToStringIP() == "5wyqrzbvrdsumnok.onion");
- BOOST_CHECK(addr1.IsRoutable());
-
-}
-
BOOST_AUTO_TEST_CASE(embedded_test)
{
CNetAddr addr1(ResolveIP("1.2.3.4"));
@@ -337,7 +325,6 @@ BOOST_AUTO_TEST_CASE(netbase_getgroup)
BOOST_CHECK(ResolveIP("64:FF9B::102:304").GetGroup(asmap) == std::vector<unsigned char>({(unsigned char)NET_IPV4, 1, 2})); // RFC6052
BOOST_CHECK(ResolveIP("2002:102:304:9999:9999:9999:9999:9999").GetGroup(asmap) == std::vector<unsigned char>({(unsigned char)NET_IPV4, 1, 2})); // RFC3964
BOOST_CHECK(ResolveIP("2001:0:9999:9999:9999:9999:FEFD:FCFB").GetGroup(asmap) == std::vector<unsigned char>({(unsigned char)NET_IPV4, 1, 2})); // RFC4380
- BOOST_CHECK(ResolveIP("FD87:D87E:EB43:edb1:8e4:3588:e546:35ca").GetGroup(asmap) == std::vector<unsigned char>({(unsigned char)NET_ONION, 239})); // Tor
BOOST_CHECK(ResolveIP("2001:470:abcd:9999:9999:9999:9999:9999").GetGroup(asmap) == std::vector<unsigned char>({(unsigned char)NET_IPV6, 32, 1, 4, 112, 175})); //he.net
BOOST_CHECK(ResolveIP("2001:2001:9999:9999:9999:9999:9999:9999").GetGroup(asmap) == std::vector<unsigned char>({(unsigned char)NET_IPV6, 32, 1, 32, 1})); //IPv6
@@ -352,11 +339,13 @@ BOOST_AUTO_TEST_CASE(netbase_parsenetwork)
BOOST_CHECK_EQUAL(ParseNetwork("ipv6"), NET_IPV6);
BOOST_CHECK_EQUAL(ParseNetwork("onion"), NET_ONION);
BOOST_CHECK_EQUAL(ParseNetwork("tor"), NET_ONION);
+ BOOST_CHECK_EQUAL(ParseNetwork("cjdns"), NET_CJDNS);
BOOST_CHECK_EQUAL(ParseNetwork("IPv4"), NET_IPV4);
BOOST_CHECK_EQUAL(ParseNetwork("IPv6"), NET_IPV6);
BOOST_CHECK_EQUAL(ParseNetwork("ONION"), NET_ONION);
BOOST_CHECK_EQUAL(ParseNetwork("TOR"), NET_ONION);
+ BOOST_CHECK_EQUAL(ParseNetwork("CJDNS"), NET_CJDNS);
BOOST_CHECK_EQUAL(ParseNetwork(":)"), NET_UNROUTABLE);
BOOST_CHECK_EQUAL(ParseNetwork("tÖr"), NET_UNROUTABLE);
@@ -380,41 +369,63 @@ BOOST_AUTO_TEST_CASE(netpermissions_test)
// If no permission flags, assume backward compatibility
BOOST_CHECK(NetWhitebindPermissions::TryParse("1.2.3.4:32", whitebindPermissions, error));
BOOST_CHECK(error.empty());
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_ISIMPLICIT);
- BOOST_CHECK(NetPermissions::HasFlag(whitebindPermissions.m_flags, PF_ISIMPLICIT));
- NetPermissions::ClearFlag(whitebindPermissions.m_flags, PF_ISIMPLICIT);
- BOOST_CHECK(!NetPermissions::HasFlag(whitebindPermissions.m_flags, PF_ISIMPLICIT));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_NONE);
- NetPermissions::AddFlag(whitebindPermissions.m_flags, PF_ISIMPLICIT);
- BOOST_CHECK(NetPermissions::HasFlag(whitebindPermissions.m_flags, PF_ISIMPLICIT));
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::Implicit);
+ BOOST_CHECK(NetPermissions::HasFlag(whitebindPermissions.m_flags, NetPermissionFlags::Implicit));
+ NetPermissions::ClearFlag(whitebindPermissions.m_flags, NetPermissionFlags::Implicit);
+ BOOST_CHECK(!NetPermissions::HasFlag(whitebindPermissions.m_flags, NetPermissionFlags::Implicit));
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::None);
+ NetPermissions::AddFlag(whitebindPermissions.m_flags, NetPermissionFlags::Implicit);
+ BOOST_CHECK(NetPermissions::HasFlag(whitebindPermissions.m_flags, NetPermissionFlags::Implicit));
// Can set one permission
BOOST_CHECK(NetWhitebindPermissions::TryParse("bloom@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_BLOOMFILTER);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::BloomFilter);
BOOST_CHECK(NetWhitebindPermissions::TryParse("@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_NONE);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::None);
+
+ NetWhitebindPermissions noban, noban_download, download_noban, download;
+
+ // "noban" implies "download"
+ BOOST_REQUIRE(NetWhitebindPermissions::TryParse("noban@1.2.3.4:32", noban, error));
+ BOOST_CHECK_EQUAL(noban.m_flags, NetPermissionFlags::NoBan);
+ BOOST_CHECK(NetPermissions::HasFlag(noban.m_flags, NetPermissionFlags::Download));
+ BOOST_CHECK(NetPermissions::HasFlag(noban.m_flags, NetPermissionFlags::NoBan));
+
+ // "noban,download" is equivalent to "noban"
+ BOOST_REQUIRE(NetWhitebindPermissions::TryParse("noban,download@1.2.3.4:32", noban_download, error));
+ BOOST_CHECK_EQUAL(noban_download.m_flags, noban.m_flags);
+
+ // "download,noban" is equivalent to "noban"
+ BOOST_REQUIRE(NetWhitebindPermissions::TryParse("download,noban@1.2.3.4:32", download_noban, error));
+ BOOST_CHECK_EQUAL(download_noban.m_flags, noban.m_flags);
+
+ // "download" excludes (does not imply) "noban"
+ BOOST_REQUIRE(NetWhitebindPermissions::TryParse("download@1.2.3.4:32", download, error));
+ BOOST_CHECK_EQUAL(download.m_flags, NetPermissionFlags::Download);
+ BOOST_CHECK(NetPermissions::HasFlag(download.m_flags, NetPermissionFlags::Download));
+ BOOST_CHECK(!NetPermissions::HasFlag(download.m_flags, NetPermissionFlags::NoBan));
// Happy path, can parse flags
BOOST_CHECK(NetWhitebindPermissions::TryParse("bloom,forcerelay@1.2.3.4:32", whitebindPermissions, error));
// forcerelay should also activate the relay permission
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_BLOOMFILTER | PF_FORCERELAY | PF_RELAY);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::BloomFilter | NetPermissionFlags::ForceRelay | NetPermissionFlags::Relay);
BOOST_CHECK(NetWhitebindPermissions::TryParse("bloom,relay,noban@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_BLOOMFILTER | PF_RELAY | PF_NOBAN);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::BloomFilter | NetPermissionFlags::Relay | NetPermissionFlags::NoBan);
BOOST_CHECK(NetWhitebindPermissions::TryParse("bloom,forcerelay,noban@1.2.3.4:32", whitebindPermissions, error));
BOOST_CHECK(NetWhitebindPermissions::TryParse("all@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_ALL);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::All);
// Allow dups
BOOST_CHECK(NetWhitebindPermissions::TryParse("bloom,relay,noban,noban@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_BLOOMFILTER | PF_RELAY | PF_NOBAN);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::BloomFilter | NetPermissionFlags::Relay | NetPermissionFlags::NoBan | NetPermissionFlags::Download); // "noban" implies "download"
// Allow empty
BOOST_CHECK(NetWhitebindPermissions::TryParse("bloom,relay,,noban@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_BLOOMFILTER | PF_RELAY | PF_NOBAN);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::BloomFilter | NetPermissionFlags::Relay | NetPermissionFlags::NoBan);
BOOST_CHECK(NetWhitebindPermissions::TryParse(",@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_NONE);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::None);
BOOST_CHECK(NetWhitebindPermissions::TryParse(",,@1.2.3.4:32", whitebindPermissions, error));
- BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, PF_NONE);
+ BOOST_CHECK_EQUAL(whitebindPermissions.m_flags, NetPermissionFlags::None);
// Detect invalid flag
BOOST_CHECK(!NetWhitebindPermissions::TryParse("bloom,forcerelay,oopsie@1.2.3.4:32", whitebindPermissions, error));
@@ -426,14 +437,16 @@ BOOST_AUTO_TEST_CASE(netpermissions_test)
// Happy path for whitelist parsing
BOOST_CHECK(NetWhitelistPermissions::TryParse("noban@1.2.3.4", whitelistPermissions, error));
- BOOST_CHECK_EQUAL(whitelistPermissions.m_flags, PF_NOBAN);
+ BOOST_CHECK_EQUAL(whitelistPermissions.m_flags, NetPermissionFlags::NoBan);
+ BOOST_CHECK(NetPermissions::HasFlag(whitelistPermissions.m_flags, NetPermissionFlags::NoBan));
+
BOOST_CHECK(NetWhitelistPermissions::TryParse("bloom,forcerelay,noban,relay@1.2.3.4/32", whitelistPermissions, error));
- BOOST_CHECK_EQUAL(whitelistPermissions.m_flags, PF_BLOOMFILTER | PF_FORCERELAY | PF_NOBAN | PF_RELAY);
+ BOOST_CHECK_EQUAL(whitelistPermissions.m_flags, NetPermissionFlags::BloomFilter | NetPermissionFlags::ForceRelay | NetPermissionFlags::NoBan | NetPermissionFlags::Relay);
BOOST_CHECK(error.empty());
BOOST_CHECK_EQUAL(whitelistPermissions.m_subnet.ToString(), "1.2.3.4/32");
BOOST_CHECK(NetWhitelistPermissions::TryParse("bloom,forcerelay,noban,relay,mempool@1.2.3.4/32", whitelistPermissions, error));
- const auto strings = NetPermissions::ToStrings(PF_ALL);
+ const auto strings = NetPermissions::ToStrings(NetPermissionFlags::All);
BOOST_CHECK_EQUAL(strings.size(), 7U);
BOOST_CHECK(std::find(strings.begin(), strings.end(), "bloomfilter") != strings.end());
BOOST_CHECK(std::find(strings.begin(), strings.end(), "forcerelay") != strings.end());
@@ -456,10 +469,10 @@ BOOST_AUTO_TEST_CASE(netbase_dont_resolve_strings_with_embedded_nul_characters)
BOOST_CHECK(!LookupSubNet("1.2.3.0/24\0"s, ret));
BOOST_CHECK(!LookupSubNet("1.2.3.0/24\0example.com"s, ret));
BOOST_CHECK(!LookupSubNet("1.2.3.0/24\0example.com\0"s, ret));
- BOOST_CHECK(LookupSubNet("5wyqrzbvrdsumnok.onion"s, ret));
- BOOST_CHECK(!LookupSubNet("5wyqrzbvrdsumnok.onion\0"s, ret));
- BOOST_CHECK(!LookupSubNet("5wyqrzbvrdsumnok.onion\0example.com"s, ret));
- BOOST_CHECK(!LookupSubNet("5wyqrzbvrdsumnok.onion\0example.com\0"s, ret));
+ BOOST_CHECK(LookupSubNet("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion"s, ret));
+ BOOST_CHECK(!LookupSubNet("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion\0"s, ret));
+ BOOST_CHECK(!LookupSubNet("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion\0example.com"s, ret));
+ BOOST_CHECK(!LookupSubNet("pg6mmjiyjmcrsslvykfwnntlaru7p5svn6y2ymmju6nubxndf4pscryd.onion\0example.com\0"s, ret));
}
// Since CNetAddr (un)ser is tested separately in net_tests.cpp here we only
diff --git a/src/test/policy_fee_tests.cpp b/src/test/policy_fee_tests.cpp
index 6d8872b11e..25fb5343e3 100644
--- a/src/test/policy_fee_tests.cpp
+++ b/src/test/policy_fee_tests.cpp
@@ -1,15 +1,15 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
+#include <consensus/amount.h>
#include <policy/fees.h>
-#include <test/util/setup_common.h>
-
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(policy_fee_tests, BasicTestingSetup)
+#include <set>
+
+BOOST_AUTO_TEST_SUITE(policy_fee_tests)
BOOST_AUTO_TEST_CASE(FeeRounder)
{
diff --git a/src/test/pow_tests.cpp b/src/test/pow_tests.cpp
index d5a4d3fd80..2f43ae52f7 100644
--- a/src/test/pow_tests.cpp
+++ b/src/test/pow_tests.cpp
@@ -73,7 +73,7 @@ BOOST_AUTO_TEST_CASE(CheckProofOfWork_test_overflow_target)
{
const auto consensus = CreateChainParams(*m_node.args, CBaseChainParams::MAIN)->GetConsensus();
uint256 hash;
- unsigned int nBits = ~0x00800000;
+ unsigned int nBits{~0x00800000U};
hash.SetHex("0x1");
BOOST_CHECK(!CheckProofOfWork(hash, nBits, consensus));
}
diff --git a/src/test/prevector_tests.cpp b/src/test/prevector_tests.cpp
index 12c5848eaf..89814748fe 100644
--- a/src/test/prevector_tests.cpp
+++ b/src/test/prevector_tests.cpp
@@ -220,7 +220,7 @@ BOOST_AUTO_TEST_CASE(PrevectorTestInt)
prevector_tester<8, int> test;
for (int i = 0; i < 2048; i++) {
if (InsecureRandBits(2) == 0) {
- test.insert(InsecureRandRange(test.size() + 1), InsecureRand32());
+ test.insert(InsecureRandRange(test.size() + 1), int(InsecureRand32()));
}
if (test.size() > 0 && InsecureRandBits(2) == 1) {
test.erase(InsecureRandRange(test.size()));
@@ -230,7 +230,7 @@ BOOST_AUTO_TEST_CASE(PrevectorTestInt)
test.resize(new_size);
}
if (InsecureRandBits(3) == 3) {
- test.insert(InsecureRandRange(test.size() + 1), 1 + InsecureRandBool(), InsecureRand32());
+ test.insert(InsecureRandRange(test.size() + 1), 1 + InsecureRandBool(), int(InsecureRand32()));
}
if (InsecureRandBits(3) == 4) {
int del = std::min<int>(test.size(), 1 + (InsecureRandBool()));
@@ -238,7 +238,7 @@ BOOST_AUTO_TEST_CASE(PrevectorTestInt)
test.erase(beg, beg + del);
}
if (InsecureRandBits(4) == 5) {
- test.push_back(InsecureRand32());
+ test.push_back(int(InsecureRand32()));
}
if (test.size() > 0 && InsecureRandBits(4) == 6) {
test.pop_back();
@@ -247,7 +247,7 @@ BOOST_AUTO_TEST_CASE(PrevectorTestInt)
int values[4];
int num = 1 + (InsecureRandBits(2));
for (int k = 0; k < num; k++) {
- values[k] = InsecureRand32();
+ values[k] = int(InsecureRand32());
}
test.insert_range(InsecureRandRange(test.size() + 1), values, values + num);
}
@@ -263,13 +263,13 @@ BOOST_AUTO_TEST_CASE(PrevectorTestInt)
test.shrink_to_fit();
}
if (test.size() > 0) {
- test.update(InsecureRandRange(test.size()), InsecureRand32());
+ test.update(InsecureRandRange(test.size()), int(InsecureRand32()));
}
if (InsecureRandBits(10) == 11) {
test.clear();
}
if (InsecureRandBits(9) == 12) {
- test.assign(InsecureRandBits(5), InsecureRand32());
+ test.assign(InsecureRandBits(5), int(InsecureRand32()));
}
if (InsecureRandBits(3) == 3) {
test.swap();
@@ -283,8 +283,8 @@ BOOST_AUTO_TEST_CASE(PrevectorTestInt)
if (InsecureRandBits(5) == 19) {
unsigned int num = 1 + (InsecureRandBits(4));
std::vector<int> values(num);
- for (auto &v : values) {
- v = InsecureRand32();
+ for (int& v : values) {
+ v = int(InsecureRand32());
}
test.resize_uninitialized(values);
}
diff --git a/src/test/ref_tests.cpp b/src/test/ref_tests.cpp
deleted file mode 100644
index 0ec0799fbc..0000000000
--- a/src/test/ref_tests.cpp
+++ /dev/null
@@ -1,33 +0,0 @@
-// Copyright (c) 2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#include <util/ref.h>
-
-#include <boost/test/unit_test.hpp>
-
-BOOST_AUTO_TEST_SUITE(ref_tests)
-
-BOOST_AUTO_TEST_CASE(ref_test)
-{
- util::Ref ref;
- BOOST_CHECK(!ref.Has<int>());
- BOOST_CHECK_THROW(ref.Get<int>(), NonFatalCheckError);
- int value = 5;
- ref.Set(value);
- BOOST_CHECK(ref.Has<int>());
- BOOST_CHECK_EQUAL(ref.Get<int>(), 5);
- ++ref.Get<int>();
- BOOST_CHECK_EQUAL(ref.Get<int>(), 6);
- BOOST_CHECK_EQUAL(value, 6);
- ++value;
- BOOST_CHECK_EQUAL(value, 7);
- BOOST_CHECK_EQUAL(ref.Get<int>(), 7);
- BOOST_CHECK(!ref.Has<bool>());
- BOOST_CHECK_THROW(ref.Get<bool>(), NonFatalCheckError);
- ref.Clear();
- BOOST_CHECK(!ref.Has<int>());
- BOOST_CHECK_THROW(ref.Get<int>(), NonFatalCheckError);
-}
-
-BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/reverselock_tests.cpp b/src/test/reverselock_tests.cpp
index 7da364d316..0a9ff5f294 100644
--- a/src/test/reverselock_tests.cpp
+++ b/src/test/reverselock_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,9 @@
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(reverselock_tests, BasicTestingSetup)
+#include <stdexcept>
+
+BOOST_AUTO_TEST_SUITE(reverselock_tests)
BOOST_AUTO_TEST_CASE(reverselock_basics)
{
diff --git a/src/test/rpc_tests.cpp b/src/test/rpc_tests.cpp
index 810665877d..50b5078110 100644
--- a/src/test/rpc_tests.cpp
+++ b/src/test/rpc_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,9 +10,10 @@
#include <interfaces/chain.h>
#include <node/context.h>
#include <test/util/setup_common.h>
-#include <util/ref.h>
#include <util/time.h>
+#include <any>
+
#include <boost/algorithm/string.hpp>
#include <boost/test/unit_test.hpp>
@@ -32,11 +33,10 @@ UniValue RPCTestingSetup::CallRPC(std::string args)
boost::split(vArgs, args, boost::is_any_of(" \t"));
std::string strMethod = vArgs[0];
vArgs.erase(vArgs.begin());
- util::Ref context{m_node};
- JSONRPCRequest request(context);
+ JSONRPCRequest request;
+ request.context = &m_node;
request.strMethod = strMethod;
request.params = RPCConvertValues(strMethod, vArgs);
- request.fHelp = false;
if (RPCIsInWarmup(nullptr)) SetRPCWarmupFinished();
try {
UniValue result = tableRPC.execute(request);
@@ -269,22 +269,29 @@ BOOST_AUTO_TEST_CASE(rpc_ban)
ar = r.get_array();
o1 = ar[0].get_obj();
adr = find_value(o1, "address");
- UniValue banned_until = find_value(o1, "banned_until");
+ int64_t banned_until{find_value(o1, "banned_until").get_int64()};
BOOST_CHECK_EQUAL(adr.get_str(), "127.0.0.0/24");
- BOOST_CHECK_EQUAL(banned_until.get_int64(), 9907731200); // absolute time check
+ BOOST_CHECK_EQUAL(banned_until, 9907731200); // absolute time check
BOOST_CHECK_NO_THROW(CallRPC(std::string("clearbanned")));
+ auto now = 10'000s;
+ SetMockTime(now);
BOOST_CHECK_NO_THROW(r = CallRPC(std::string("setban 127.0.0.0/24 add 200")));
+ SetMockTime(now += 2s);
+ const int64_t time_remaining_expected{198};
BOOST_CHECK_NO_THROW(r = CallRPC(std::string("listbanned")));
ar = r.get_array();
o1 = ar[0].get_obj();
adr = find_value(o1, "address");
- banned_until = find_value(o1, "banned_until");
+ banned_until = find_value(o1, "banned_until").get_int64();
+ const int64_t ban_created{find_value(o1, "ban_created").get_int64()};
+ const int64_t ban_duration{find_value(o1, "ban_duration").get_int64()};
+ const int64_t time_remaining{find_value(o1, "time_remaining").get_int64()};
BOOST_CHECK_EQUAL(adr.get_str(), "127.0.0.0/24");
- int64_t now = GetTime();
- BOOST_CHECK(banned_until.get_int64() > now);
- BOOST_CHECK(banned_until.get_int64()-now <= 200);
+ BOOST_CHECK_EQUAL(banned_until, time_remaining_expected + now.count());
+ BOOST_CHECK_EQUAL(ban_duration, banned_until - ban_created);
+ BOOST_CHECK_EQUAL(time_remaining, time_remaining_expected);
// must throw an exception because 127.0.0.1 is in already banned subnet range
BOOST_CHECK_THROW(r = CallRPC(std::string("setban 127.0.0.1 add")), std::runtime_error);
@@ -431,4 +438,39 @@ BOOST_AUTO_TEST_CASE(rpc_getblockstats_calculate_percentiles_by_weight)
}
}
+BOOST_AUTO_TEST_CASE(help_example)
+{
+ // test different argument types
+ const RPCArgList& args = {{"foo", "bar"}, {"b", true}, {"n", 1}};
+ BOOST_CHECK_EQUAL(HelpExampleCliNamed("test", args), "> bitcoin-cli -named test foo=bar b=true n=1\n");
+ BOOST_CHECK_EQUAL(HelpExampleRpcNamed("test", args), "> curl --user myusername --data-binary '{\"jsonrpc\": \"1.0\", \"id\": \"curltest\", \"method\": \"test\", \"params\": {\"foo\":\"bar\",\"b\":true,\"n\":1}}' -H 'content-type: text/plain;' http://127.0.0.1:8332/\n");
+
+ // test shell escape
+ BOOST_CHECK_EQUAL(HelpExampleCliNamed("test", {{"foo", "b'ar"}}), "> bitcoin-cli -named test foo='b'''ar'\n");
+ BOOST_CHECK_EQUAL(HelpExampleCliNamed("test", {{"foo", "b\"ar"}}), "> bitcoin-cli -named test foo='b\"ar'\n");
+ BOOST_CHECK_EQUAL(HelpExampleCliNamed("test", {{"foo", "b ar"}}), "> bitcoin-cli -named test foo='b ar'\n");
+
+ // test object params
+ UniValue obj_value(UniValue::VOBJ);
+ obj_value.pushKV("foo", "bar");
+ obj_value.pushKV("b", false);
+ obj_value.pushKV("n", 1);
+ BOOST_CHECK_EQUAL(HelpExampleCliNamed("test", {{"name", obj_value}}), "> bitcoin-cli -named test name='{\"foo\":\"bar\",\"b\":false,\"n\":1}'\n");
+ BOOST_CHECK_EQUAL(HelpExampleRpcNamed("test", {{"name", obj_value}}), "> curl --user myusername --data-binary '{\"jsonrpc\": \"1.0\", \"id\": \"curltest\", \"method\": \"test\", \"params\": {\"name\":{\"foo\":\"bar\",\"b\":false,\"n\":1}}}' -H 'content-type: text/plain;' http://127.0.0.1:8332/\n");
+
+ // test array params
+ UniValue arr_value(UniValue::VARR);
+ arr_value.push_back("bar");
+ arr_value.push_back(false);
+ arr_value.push_back(1);
+ BOOST_CHECK_EQUAL(HelpExampleCliNamed("test", {{"name", arr_value}}), "> bitcoin-cli -named test name='[\"bar\",false,1]'\n");
+ BOOST_CHECK_EQUAL(HelpExampleRpcNamed("test", {{"name", arr_value}}), "> curl --user myusername --data-binary '{\"jsonrpc\": \"1.0\", \"id\": \"curltest\", \"method\": \"test\", \"params\": {\"name\":[\"bar\",false,1]}}' -H 'content-type: text/plain;' http://127.0.0.1:8332/\n");
+
+ // test types don't matter for shell
+ BOOST_CHECK_EQUAL(HelpExampleCliNamed("foo", {{"arg", true}}), HelpExampleCliNamed("foo", {{"arg", "true"}}));
+
+ // test types matter for Rpc
+ BOOST_CHECK_NE(HelpExampleRpcNamed("foo", {{"arg", true}}), HelpExampleRpcNamed("foo", {{"arg", "true"}}));
+}
+
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/sanity_tests.cpp b/src/test/sanity_tests.cpp
index 3e4b963fe3..a7057f8361 100644
--- a/src/test/sanity_tests.cpp
+++ b/src/test/sanity_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,7 +13,6 @@ BOOST_FIXTURE_TEST_SUITE(sanity_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(basic_sanity)
{
- BOOST_CHECK_MESSAGE(glibc_sanity_test() == true, "libc sanity test");
BOOST_CHECK_MESSAGE(glibcxx_sanity_test() == true, "stdlib sanity test");
BOOST_CHECK_MESSAGE(ECC_InitSanityCheck() == true, "secp256k1 sanity test");
BOOST_CHECK_MESSAGE(ChronoSanityCheck() == true, "chrono epoch test");
diff --git a/src/test/scheduler_tests.cpp b/src/test/scheduler_tests.cpp
index d57c000b92..4195d413fc 100644
--- a/src/test/scheduler_tests.cpp
+++ b/src/test/scheduler_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -44,7 +44,7 @@ BOOST_AUTO_TEST_CASE(manythreads)
std::mutex counterMutex[10];
int counter[10] = { 0 };
- FastRandomContext rng{/* fDeterministic */ true};
+ FastRandomContext rng{/*fDeterministic=*/true};
auto zeroToNine = [](FastRandomContext& rc) -> int { return rc.randrange(10); }; // [0, 9]
auto randomMsec = [](FastRandomContext& rc) -> int { return -11 + (int)rc.randrange(1012); }; // [-11, 1000]
auto randomDelta = [](FastRandomContext& rc) -> int { return -1000 + (int)rc.randrange(2001); }; // [-1000, 1000]
diff --git a/src/test/script_p2sh_tests.cpp b/src/test/script_p2sh_tests.cpp
index 856ec6346d..a221e02d2f 100644
--- a/src/test/script_p2sh_tests.cpp
+++ b/src/test/script_p2sh_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -41,7 +41,7 @@ Verify(const CScript& scriptSig, const CScript& scriptPubKey, bool fStrict, Scri
txTo.vin[0].scriptSig = scriptSig;
txTo.vout[0].nValue = 1;
- return VerifyScript(scriptSig, scriptPubKey, nullptr, fStrict ? SCRIPT_VERIFY_P2SH : SCRIPT_VERIFY_NONE, MutableTransactionSignatureChecker(&txTo, 0, txFrom.vout[0].nValue), &err);
+ return VerifyScript(scriptSig, scriptPubKey, nullptr, fStrict ? SCRIPT_VERIFY_P2SH : SCRIPT_VERIFY_NONE, MutableTransactionSignatureChecker(&txTo, 0, txFrom.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err);
}
@@ -343,7 +343,7 @@ BOOST_AUTO_TEST_CASE(AreInputsStandard)
txTo.vin[3].scriptSig << OP_11 << OP_11 << std::vector<unsigned char>(oneAndTwo.begin(), oneAndTwo.end());
txTo.vin[4].scriptSig << std::vector<unsigned char>(fifteenSigops.begin(), fifteenSigops.end());
- BOOST_CHECK(::AreInputsStandard(CTransaction(txTo), coins, false));
+ BOOST_CHECK(::AreInputsStandard(CTransaction(txTo), coins));
// 22 P2SH sigops for all inputs (1 for vin[0], 6 for vin[3], 15 for vin[4]
BOOST_CHECK_EQUAL(GetP2SHSigOpCount(CTransaction(txTo), coins), 22U);
@@ -356,7 +356,7 @@ BOOST_AUTO_TEST_CASE(AreInputsStandard)
txToNonStd1.vin[0].prevout.hash = txFrom.GetHash();
txToNonStd1.vin[0].scriptSig << std::vector<unsigned char>(sixteenSigops.begin(), sixteenSigops.end());
- BOOST_CHECK(!::AreInputsStandard(CTransaction(txToNonStd1), coins, false));
+ BOOST_CHECK(!::AreInputsStandard(CTransaction(txToNonStd1), coins));
BOOST_CHECK_EQUAL(GetP2SHSigOpCount(CTransaction(txToNonStd1), coins), 16U);
CMutableTransaction txToNonStd2;
@@ -368,7 +368,7 @@ BOOST_AUTO_TEST_CASE(AreInputsStandard)
txToNonStd2.vin[0].prevout.hash = txFrom.GetHash();
txToNonStd2.vin[0].scriptSig << std::vector<unsigned char>(twentySigops.begin(), twentySigops.end());
- BOOST_CHECK(!::AreInputsStandard(CTransaction(txToNonStd2), coins, false));
+ BOOST_CHECK(!::AreInputsStandard(CTransaction(txToNonStd2), coins));
BOOST_CHECK_EQUAL(GetP2SHSigOpCount(CTransaction(txToNonStd2), coins), 20U);
}
diff --git a/src/test/script_parse_tests.cpp b/src/test/script_parse_tests.cpp
new file mode 100644
index 0000000000..004c1a9a84
--- /dev/null
+++ b/src/test/script_parse_tests.cpp
@@ -0,0 +1,55 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <core_io.h>
+#include <script/script.h>
+#include <util/strencodings.h>
+#include <test/util/setup_common.h>
+
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_SUITE(script_parse_tests)
+BOOST_AUTO_TEST_CASE(parse_script)
+{
+ const std::vector<std::pair<std::string,std::string>> IN_OUT{
+ // {IN: script string , OUT: hex string }
+ {"", ""},
+ {"0", "00"},
+ {"1", "51"},
+ {"2", "52"},
+ {"3", "53"},
+ {"4", "54"},
+ {"5", "55"},
+ {"6", "56"},
+ {"7", "57"},
+ {"8", "58"},
+ {"9", "59"},
+ {"10", "5a"},
+ {"11", "5b"},
+ {"12", "5c"},
+ {"13", "5d"},
+ {"14", "5e"},
+ {"15", "5f"},
+ {"16", "60"},
+ {"17", "0111"},
+ {"-9", "0189"},
+ {"0x17", "17"},
+ {"'17'", "023137"},
+ {"ELSE", "67"},
+ {"NOP10", "b9"},
+ };
+ std::string all_in;
+ std::string all_out;
+ for (const auto& [in, out] : IN_OUT) {
+ BOOST_CHECK_EQUAL(HexStr(ParseScript(in)), out);
+ all_in += " " + in + " ";
+ all_out += out;
+ }
+ BOOST_CHECK_EQUAL(HexStr(ParseScript(all_in)), all_out);
+
+ BOOST_CHECK_EXCEPTION(ParseScript("11111111111111111111"), std::runtime_error, HasReason("script parse error: decimal numeric value only allowed in the range -0xFFFFFFFF...0xFFFFFFFF"));
+ BOOST_CHECK_EXCEPTION(ParseScript("11111111111"), std::runtime_error, HasReason("script parse error: decimal numeric value only allowed in the range -0xFFFFFFFF...0xFFFFFFFF"));
+ BOOST_CHECK_EXCEPTION(ParseScript("OP_CHECKSIGADD"), std::runtime_error, HasReason("script parse error: unknown opcode"));
+}
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/script_standard_tests.cpp b/src/test/script_standard_tests.cpp
index 4dc0dd5f51..75bc616cf9 100644
--- a/src/test/script_standard_tests.cpp
+++ b/src/test/script_standard_tests.cpp
@@ -1,15 +1,21 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <test/data/bip341_wallet_vectors.json.h>
+
#include <key.h>
+#include <key_io.h>
#include <script/script.h>
#include <script/signingprovider.h>
#include <script/standard.h>
#include <test/util/setup_common.h>
+#include <util/strencodings.h>
#include <boost/test/unit_test.hpp>
+#include <univalue.h>
+
BOOST_FIXTURE_TEST_SUITE(script_standard_tests, BasicTestingSetup)
@@ -98,7 +104,7 @@ BOOST_AUTO_TEST_CASE(script_standard_Solver_success)
// TxoutType::WITNESS_V0_SCRIPTHASH
uint256 scriptHash;
- CSHA256().Write(&redeemScript[0], redeemScript.size())
+ CSHA256().Write(redeemScript.data(), redeemScript.size())
.Finalize(scriptHash.begin());
s.clear();
@@ -111,9 +117,8 @@ BOOST_AUTO_TEST_CASE(script_standard_Solver_success)
s.clear();
s << OP_1 << ToByteVector(uint256::ZERO);
BOOST_CHECK_EQUAL(Solver(s, solutions), TxoutType::WITNESS_V1_TAPROOT);
- BOOST_CHECK_EQUAL(solutions.size(), 2U);
- BOOST_CHECK(solutions[0] == std::vector<unsigned char>{1});
- BOOST_CHECK(solutions[1] == ToByteVector(uint256::ZERO));
+ BOOST_CHECK_EQUAL(solutions.size(), 1U);
+ BOOST_CHECK(solutions[0] == ToByteVector(uint256::ZERO));
// TxoutType::WITNESS_UNKNOWN
s.clear();
@@ -199,23 +204,20 @@ BOOST_AUTO_TEST_CASE(script_standard_ExtractDestination)
s.clear();
s << ToByteVector(pubkey) << OP_CHECKSIG;
BOOST_CHECK(ExtractDestination(s, address));
- BOOST_CHECK(std::get_if<PKHash>(&address) &&
- *std::get_if<PKHash>(&address) == PKHash(pubkey));
+ BOOST_CHECK(std::get<PKHash>(address) == PKHash(pubkey));
// TxoutType::PUBKEYHASH
s.clear();
s << OP_DUP << OP_HASH160 << ToByteVector(pubkey.GetID()) << OP_EQUALVERIFY << OP_CHECKSIG;
BOOST_CHECK(ExtractDestination(s, address));
- BOOST_CHECK(std::get_if<PKHash>(&address) &&
- *std::get_if<PKHash>(&address) == PKHash(pubkey));
+ BOOST_CHECK(std::get<PKHash>(address) == PKHash(pubkey));
// TxoutType::SCRIPTHASH
CScript redeemScript(s); // initialize with leftover P2PKH script
s.clear();
s << OP_HASH160 << ToByteVector(CScriptID(redeemScript)) << OP_EQUAL;
BOOST_CHECK(ExtractDestination(s, address));
- BOOST_CHECK(std::get_if<ScriptHash>(&address) &&
- *std::get_if<ScriptHash>(&address) == ScriptHash(redeemScript));
+ BOOST_CHECK(std::get<ScriptHash>(address) == ScriptHash(redeemScript));
// TxoutType::MULTISIG
s.clear();
@@ -233,7 +235,7 @@ BOOST_AUTO_TEST_CASE(script_standard_ExtractDestination)
BOOST_CHECK(ExtractDestination(s, address));
WitnessV0KeyHash keyhash;
CHash160().Write(pubkey).Finalize(keyhash);
- BOOST_CHECK(std::get_if<WitnessV0KeyHash>(&address) && *std::get_if<WitnessV0KeyHash>(&address) == keyhash);
+ BOOST_CHECK(std::get<WitnessV0KeyHash>(address) == keyhash);
// TxoutType::WITNESS_V0_SCRIPTHASH
s.clear();
@@ -241,7 +243,7 @@ BOOST_AUTO_TEST_CASE(script_standard_ExtractDestination)
CSHA256().Write(redeemScript.data(), redeemScript.size()).Finalize(scripthash.begin());
s << OP_0 << ToByteVector(scripthash);
BOOST_CHECK(ExtractDestination(s, address));
- BOOST_CHECK(std::get_if<WitnessV0ScriptHash>(&address) && *std::get_if<WitnessV0ScriptHash>(&address) == scripthash);
+ BOOST_CHECK(std::get<WitnessV0ScriptHash>(address) == scripthash);
// TxoutType::WITNESS_UNKNOWN with unknown version
s.clear();
@@ -251,73 +253,7 @@ BOOST_AUTO_TEST_CASE(script_standard_ExtractDestination)
unk.length = 33;
unk.version = 1;
std::copy(pubkey.begin(), pubkey.end(), unk.program);
- BOOST_CHECK(std::get_if<WitnessUnknown>(&address) && *std::get_if<WitnessUnknown>(&address) == unk);
-}
-
-BOOST_AUTO_TEST_CASE(script_standard_ExtractDestinations)
-{
- CKey keys[3];
- CPubKey pubkeys[3];
- for (int i = 0; i < 3; i++) {
- keys[i].MakeNewKey(true);
- pubkeys[i] = keys[i].GetPubKey();
- }
-
- CScript s;
- TxoutType whichType;
- std::vector<CTxDestination> addresses;
- int nRequired;
-
- // TxoutType::PUBKEY
- s.clear();
- s << ToByteVector(pubkeys[0]) << OP_CHECKSIG;
- BOOST_CHECK(ExtractDestinations(s, whichType, addresses, nRequired));
- BOOST_CHECK_EQUAL(whichType, TxoutType::PUBKEY);
- BOOST_CHECK_EQUAL(addresses.size(), 1U);
- BOOST_CHECK_EQUAL(nRequired, 1);
- BOOST_CHECK(std::get_if<PKHash>(&addresses[0]) &&
- *std::get_if<PKHash>(&addresses[0]) == PKHash(pubkeys[0]));
-
- // TxoutType::PUBKEYHASH
- s.clear();
- s << OP_DUP << OP_HASH160 << ToByteVector(pubkeys[0].GetID()) << OP_EQUALVERIFY << OP_CHECKSIG;
- BOOST_CHECK(ExtractDestinations(s, whichType, addresses, nRequired));
- BOOST_CHECK_EQUAL(whichType, TxoutType::PUBKEYHASH);
- BOOST_CHECK_EQUAL(addresses.size(), 1U);
- BOOST_CHECK_EQUAL(nRequired, 1);
- BOOST_CHECK(std::get_if<PKHash>(&addresses[0]) &&
- *std::get_if<PKHash>(&addresses[0]) == PKHash(pubkeys[0]));
-
- // TxoutType::SCRIPTHASH
- CScript redeemScript(s); // initialize with leftover P2PKH script
- s.clear();
- s << OP_HASH160 << ToByteVector(CScriptID(redeemScript)) << OP_EQUAL;
- BOOST_CHECK(ExtractDestinations(s, whichType, addresses, nRequired));
- BOOST_CHECK_EQUAL(whichType, TxoutType::SCRIPTHASH);
- BOOST_CHECK_EQUAL(addresses.size(), 1U);
- BOOST_CHECK_EQUAL(nRequired, 1);
- BOOST_CHECK(std::get_if<ScriptHash>(&addresses[0]) &&
- *std::get_if<ScriptHash>(&addresses[0]) == ScriptHash(redeemScript));
-
- // TxoutType::MULTISIG
- s.clear();
- s << OP_2 <<
- ToByteVector(pubkeys[0]) <<
- ToByteVector(pubkeys[1]) <<
- OP_2 << OP_CHECKMULTISIG;
- BOOST_CHECK(ExtractDestinations(s, whichType, addresses, nRequired));
- BOOST_CHECK_EQUAL(whichType, TxoutType::MULTISIG);
- BOOST_CHECK_EQUAL(addresses.size(), 2U);
- BOOST_CHECK_EQUAL(nRequired, 2);
- BOOST_CHECK(std::get_if<PKHash>(&addresses[0]) &&
- *std::get_if<PKHash>(&addresses[0]) == PKHash(pubkeys[0]));
- BOOST_CHECK(std::get_if<PKHash>(&addresses[1]) &&
- *std::get_if<PKHash>(&addresses[1]) == PKHash(pubkeys[1]));
-
- // TxoutType::NULL_DATA
- s.clear();
- s << OP_RETURN << std::vector<unsigned char>({75});
- BOOST_CHECK(!ExtractDestinations(s, whichType, addresses, nRequired));
+ BOOST_CHECK(std::get<WitnessUnknown>(address) == unk);
}
BOOST_AUTO_TEST_CASE(script_standard_GetScriptFor_)
@@ -378,7 +314,7 @@ BOOST_AUTO_TEST_CASE(script_standard_GetScriptFor_)
witnessScript << OP_1 << ToByteVector(pubkeys[0]) << OP_1 << OP_CHECKMULTISIG;
uint256 scriptHash;
- CSHA256().Write(&witnessScript[0], witnessScript.size())
+ CSHA256().Write(witnessScript.data(), witnessScript.size())
.Finalize(scriptHash.begin());
expected.clear();
@@ -387,4 +323,112 @@ BOOST_AUTO_TEST_CASE(script_standard_GetScriptFor_)
BOOST_CHECK(result == expected);
}
+BOOST_AUTO_TEST_CASE(script_standard_taproot_builder)
+{
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({}), true);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0}), true);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,1}), true);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,0,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,0,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,0,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,1,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,1,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,1,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,2,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,2,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({0,2,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,0,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,0,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,0,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,1,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,1,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,1,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,2,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,2,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({1,2,2}), true);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,0,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,0,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,0,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,1,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,1,1}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,1,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,2,0}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,2,1}), true);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,2,2}), false);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({2,2,2,3,4,5,6,7,8,9,10,11,12,14,14,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,31,31,31,31,31,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,128}), true);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({128,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1}), true);
+ BOOST_CHECK_EQUAL(TaprootBuilder::ValidDepths({129,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1}), false);
+
+ XOnlyPubKey key_inner{ParseHex("79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798")};
+ XOnlyPubKey key_1{ParseHex("c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5")};
+ XOnlyPubKey key_2{ParseHex("f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9")};
+ CScript script_1 = CScript() << ToByteVector(key_1) << OP_CHECKSIG;
+ CScript script_2 = CScript() << ToByteVector(key_2) << OP_CHECKSIG;
+ uint256 hash_3 = uint256S("31fe7061656bea2a36aa60a2f7ef940578049273746935d296426dc0afd86b68");
+
+ TaprootBuilder builder;
+ BOOST_CHECK(builder.IsValid() && builder.IsComplete());
+ builder.Add(2, script_2, 0xc0);
+ BOOST_CHECK(builder.IsValid() && !builder.IsComplete());
+ builder.AddOmitted(2, hash_3);
+ BOOST_CHECK(builder.IsValid() && !builder.IsComplete());
+ builder.Add(1, script_1, 0xc0);
+ BOOST_CHECK(builder.IsValid() && builder.IsComplete());
+ builder.Finalize(key_inner);
+ BOOST_CHECK(builder.IsValid() && builder.IsComplete());
+ BOOST_CHECK_EQUAL(EncodeDestination(builder.GetOutput()), "bc1pj6gaw944fy0xpmzzu45ugqde4rz7mqj5kj0tg8kmr5f0pjq8vnaqgynnge");
+}
+
+BOOST_AUTO_TEST_CASE(bip341_spk_test_vectors)
+{
+ using control_set = decltype(TaprootSpendData::scripts)::mapped_type;
+
+ UniValue tests;
+ tests.read((const char*)json_tests::bip341_wallet_vectors, sizeof(json_tests::bip341_wallet_vectors));
+
+ const auto& vectors = tests["scriptPubKey"];
+
+ for (const auto& vec : vectors.getValues()) {
+ TaprootBuilder spktest;
+ std::map<std::pair<CScript, int>, int> scriptposes;
+ std::function<void (const UniValue&, int)> parse_tree = [&](const UniValue& node, int depth) {
+ if (node.isNull()) return;
+ if (node.isObject()) {
+ auto script_bytes = ParseHex(node["script"].get_str());
+ CScript script(script_bytes.begin(), script_bytes.end());
+ int idx = node["id"].get_int();
+ int leaf_version = node["leafVersion"].get_int();
+ scriptposes[{script, leaf_version}] = idx;
+ spktest.Add(depth, script, leaf_version);
+ } else {
+ parse_tree(node[0], depth + 1);
+ parse_tree(node[1], depth + 1);
+ }
+ };
+ parse_tree(vec["given"]["scriptTree"], 0);
+ spktest.Finalize(XOnlyPubKey(ParseHex(vec["given"]["internalPubkey"].get_str())));
+ BOOST_CHECK_EQUAL(HexStr(GetScriptForDestination(spktest.GetOutput())), vec["expected"]["scriptPubKey"].get_str());
+ BOOST_CHECK_EQUAL(EncodeDestination(spktest.GetOutput()), vec["expected"]["bip350Address"].get_str());
+ auto spend_data = spktest.GetSpendData();
+ BOOST_CHECK_EQUAL(vec["intermediary"]["merkleRoot"].isNull(), spend_data.merkle_root.IsNull());
+ if (!spend_data.merkle_root.IsNull()) {
+ BOOST_CHECK_EQUAL(vec["intermediary"]["merkleRoot"].get_str(), HexStr(spend_data.merkle_root));
+ }
+ BOOST_CHECK_EQUAL(spend_data.scripts.size(), scriptposes.size());
+ for (const auto& scriptpos : scriptposes) {
+ BOOST_CHECK(spend_data.scripts[scriptpos.first] == control_set{ParseHex(vec["expected"]["scriptPathControlBlocks"][scriptpos.second].get_str())});
+ }
+ }
+}
+
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/script_tests.cpp b/src/test/script_tests.cpp
index 25ca171b33..c453f22594 100644
--- a/src/test/script_tests.cpp
+++ b/src/test/script_tests.cpp
@@ -1,8 +1,9 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <test/data/script_tests.json.h>
+#include <test/data/bip341_wallet_vectors.json.h>
#include <core_io.h>
#include <fs.h>
@@ -23,7 +24,8 @@
#include <script/bitcoinconsensus.h>
#endif
-#include <stdint.h>
+#include <cstdint>
+#include <fstream>
#include <string>
#include <vector>
@@ -39,8 +41,7 @@ static const unsigned int gFlags = SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_STRICTENC;
unsigned int ParseScriptFlags(std::string strFlags);
std::string FormatScriptFlags(unsigned int flags);
-UniValue
-read_json(const std::string& jsondata)
+UniValue read_json(const std::string& jsondata)
{
UniValue v;
@@ -124,7 +125,7 @@ static ScriptError_t ParseScriptError(const std::string& name)
BOOST_FIXTURE_TEST_SUITE(script_tests, BasicTestingSetup)
-void DoTest(const CScript& scriptPubKey, const CScript& scriptSig, const CScriptWitness& scriptWitness, int flags, const std::string& message, int scriptError, CAmount nValue = 0)
+void DoTest(const CScript& scriptPubKey, const CScript& scriptSig, const CScriptWitness& scriptWitness, uint32_t flags, const std::string& message, int scriptError, CAmount nValue = 0)
{
bool expect = (scriptError == SCRIPT_ERR_OK);
if (flags & SCRIPT_VERIFY_CLEANSTACK) {
@@ -135,30 +136,30 @@ void DoTest(const CScript& scriptPubKey, const CScript& scriptSig, const CScript
const CTransaction txCredit{BuildCreditingTransaction(scriptPubKey, nValue)};
CMutableTransaction tx = BuildSpendingTransaction(scriptSig, scriptWitness, txCredit);
CMutableTransaction tx2 = tx;
- BOOST_CHECK_MESSAGE(VerifyScript(scriptSig, scriptPubKey, &scriptWitness, flags, MutableTransactionSignatureChecker(&tx, 0, txCredit.vout[0].nValue), &err) == expect, message);
+ BOOST_CHECK_MESSAGE(VerifyScript(scriptSig, scriptPubKey, &scriptWitness, flags, MutableTransactionSignatureChecker(&tx, 0, txCredit.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err) == expect, message);
BOOST_CHECK_MESSAGE(err == scriptError, FormatScriptError(err) + " where " + FormatScriptError((ScriptError_t)scriptError) + " expected: " + message);
// Verify that removing flags from a passing test or adding flags to a failing test does not change the result.
for (int i = 0; i < 16; ++i) {
- int extra_flags = InsecureRandBits(16);
- int combined_flags = expect ? (flags & ~extra_flags) : (flags | extra_flags);
+ uint32_t extra_flags(InsecureRandBits(16));
+ uint32_t combined_flags{expect ? (flags & ~extra_flags) : (flags | extra_flags)};
// Weed out some invalid flag combinations.
if (combined_flags & SCRIPT_VERIFY_CLEANSTACK && ~combined_flags & (SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS)) continue;
if (combined_flags & SCRIPT_VERIFY_WITNESS && ~combined_flags & SCRIPT_VERIFY_P2SH) continue;
- BOOST_CHECK_MESSAGE(VerifyScript(scriptSig, scriptPubKey, &scriptWitness, combined_flags, MutableTransactionSignatureChecker(&tx, 0, txCredit.vout[0].nValue), &err) == expect, message + strprintf(" (with flags %x)", combined_flags));
+ BOOST_CHECK_MESSAGE(VerifyScript(scriptSig, scriptPubKey, &scriptWitness, combined_flags, MutableTransactionSignatureChecker(&tx, 0, txCredit.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err) == expect, message + strprintf(" (with flags %x)", combined_flags));
}
#if defined(HAVE_CONSENSUS_LIB)
CDataStream stream(SER_NETWORK, PROTOCOL_VERSION);
stream << tx2;
- int libconsensus_flags = flags & bitcoinconsensus_SCRIPT_FLAGS_VERIFY_ALL;
+ uint32_t libconsensus_flags{flags & bitcoinconsensus_SCRIPT_FLAGS_VERIFY_ALL};
if (libconsensus_flags == flags) {
int expectedSuccessCode = expect ? 1 : 0;
if (flags & bitcoinconsensus_SCRIPT_FLAGS_VERIFY_WITNESS) {
- BOOST_CHECK_MESSAGE(bitcoinconsensus_verify_script_with_amount(scriptPubKey.data(), scriptPubKey.size(), txCredit.vout[0].nValue, (const unsigned char*)&stream[0], stream.size(), 0, libconsensus_flags, nullptr) == expectedSuccessCode, message);
+ BOOST_CHECK_MESSAGE(bitcoinconsensus_verify_script_with_amount(scriptPubKey.data(), scriptPubKey.size(), txCredit.vout[0].nValue, UCharCast(stream.data()), stream.size(), 0, libconsensus_flags, nullptr) == expectedSuccessCode, message);
} else {
- BOOST_CHECK_MESSAGE(bitcoinconsensus_verify_script_with_amount(scriptPubKey.data(), scriptPubKey.size(), 0, (const unsigned char*)&stream[0], stream.size(), 0, libconsensus_flags, nullptr) == expectedSuccessCode, message);
- BOOST_CHECK_MESSAGE(bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), (const unsigned char*)&stream[0], stream.size(), 0, libconsensus_flags, nullptr) == expectedSuccessCode, message);
+ BOOST_CHECK_MESSAGE(bitcoinconsensus_verify_script_with_amount(scriptPubKey.data(), scriptPubKey.size(), 0, UCharCast(stream.data()), stream.size(), 0, libconsensus_flags, nullptr) == expectedSuccessCode, message);
+ BOOST_CHECK_MESSAGE(bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), UCharCast(stream.data()), stream.size(), 0, libconsensus_flags, nullptr) == expectedSuccessCode, message);
}
}
#endif
@@ -224,7 +225,7 @@ struct KeyData
pubkey0 = key0.GetPubKey();
pubkey0H = key0.GetPubKey();
pubkey0C = key0C.GetPubKey();
- *const_cast<unsigned char*>(&pubkey0H[0]) = 0x06 | (pubkey0H[64] & 1);
+ *const_cast<unsigned char*>(pubkey0H.data()) = 0x06 | (pubkey0H[64] & 1);
key1.Set(vchKey1, vchKey1 + 32, false);
key1C.Set(vchKey1, vchKey1 + 32, true);
@@ -259,7 +260,7 @@ private:
bool havePush;
std::vector<unsigned char> push;
std::string comment;
- int flags;
+ uint32_t flags;
int scriptError;
CAmount nValue;
@@ -279,18 +280,18 @@ private:
}
public:
- TestBuilder(const CScript& script_, const std::string& comment_, int flags_, bool P2SH = false, WitnessMode wm = WitnessMode::NONE, int witnessversion = 0, CAmount nValue_ = 0) : script(script_), havePush(false), comment(comment_), flags(flags_), scriptError(SCRIPT_ERR_OK), nValue(nValue_)
+ TestBuilder(const CScript& script_, const std::string& comment_, uint32_t flags_, bool P2SH = false, WitnessMode wm = WitnessMode::NONE, int witnessversion = 0, CAmount nValue_ = 0) : script(script_), havePush(false), comment(comment_), flags(flags_), scriptError(SCRIPT_ERR_OK), nValue(nValue_)
{
CScript scriptPubKey = script;
if (wm == WitnessMode::PKH) {
uint160 hash;
- CHash160().Write(MakeSpan(script).subspan(1)).Finalize(hash);
+ CHash160().Write(Span{script}.subspan(1)).Finalize(hash);
script = CScript() << OP_DUP << OP_HASH160 << ToByteVector(hash) << OP_EQUALVERIFY << OP_CHECKSIG;
scriptPubKey = CScript() << witnessversion << ToByteVector(hash);
} else if (wm == WitnessMode::SH) {
witscript = scriptPubKey;
uint256 hash;
- CSHA256().Write(&witscript[0], witscript.size()).Finalize(hash.begin());
+ CSHA256().Write(witscript.data(), witscript.size()).Finalize(hash.begin());
scriptPubKey = CScript() << witnessversion << ToByteVector(hash);
}
if (P2SH) {
@@ -774,7 +775,7 @@ BOOST_AUTO_TEST_CASE(script_build)
{
CScript witscript = CScript() << ToByteVector(keys.pubkey0);
uint256 hash;
- CSHA256().Write(&witscript[0], witscript.size()).Finalize(hash.begin());
+ CSHA256().Write(witscript.data(), witscript.size()).Finalize(hash.begin());
std::vector<unsigned char> hashBytes = ToByteVector(hash);
hashBytes.pop_back();
tests.push_back(TestBuilder(CScript() << OP_0 << hashBytes,
@@ -923,7 +924,7 @@ BOOST_AUTO_TEST_CASE(script_build)
}
#ifdef UPDATE_JSON_TESTS
- FILE* file = fopen("script_tests.json.gen", "w");
+ FILE* file = fsbridge::fopen("script_tests.json.gen", "w");
fputs(strGen.c_str(), file);
fclose(file);
#endif
@@ -1071,18 +1072,18 @@ BOOST_AUTO_TEST_CASE(script_CHECKMULTISIG12)
CMutableTransaction txTo12 = BuildSpendingTransaction(CScript(), CScriptWitness(), txFrom12);
CScript goodsig1 = sign_multisig(scriptPubKey12, key1, CTransaction(txTo12));
- BOOST_CHECK(VerifyScript(goodsig1, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue), &err));
+ BOOST_CHECK(VerifyScript(goodsig1, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
txTo12.vout[0].nValue = 2;
- BOOST_CHECK(!VerifyScript(goodsig1, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(goodsig1, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
CScript goodsig2 = sign_multisig(scriptPubKey12, key2, CTransaction(txTo12));
- BOOST_CHECK(VerifyScript(goodsig2, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue), &err));
+ BOOST_CHECK(VerifyScript(goodsig2, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
CScript badsig1 = sign_multisig(scriptPubKey12, key3, CTransaction(txTo12));
- BOOST_CHECK(!VerifyScript(badsig1, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(badsig1, scriptPubKey12, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo12, 0, txFrom12.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
}
@@ -1104,54 +1105,54 @@ BOOST_AUTO_TEST_CASE(script_CHECKMULTISIG23)
std::vector<CKey> keys;
keys.push_back(key1); keys.push_back(key2);
CScript goodsig1 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(VerifyScript(goodsig1, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(VerifyScript(goodsig1, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
keys.clear();
keys.push_back(key1); keys.push_back(key3);
CScript goodsig2 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(VerifyScript(goodsig2, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(VerifyScript(goodsig2, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
keys.clear();
keys.push_back(key2); keys.push_back(key3);
CScript goodsig3 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(VerifyScript(goodsig3, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(VerifyScript(goodsig3, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_OK, ScriptErrorString(err));
keys.clear();
keys.push_back(key2); keys.push_back(key2); // Can't re-use sig
CScript badsig1 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(!VerifyScript(badsig1, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(badsig1, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
keys.clear();
keys.push_back(key2); keys.push_back(key1); // sigs must be in correct order
CScript badsig2 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(!VerifyScript(badsig2, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(badsig2, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
keys.clear();
keys.push_back(key3); keys.push_back(key2); // sigs must be in correct order
CScript badsig3 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(!VerifyScript(badsig3, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(badsig3, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
keys.clear();
keys.push_back(key4); keys.push_back(key2); // sigs must match pubkeys
CScript badsig4 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(!VerifyScript(badsig4, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(badsig4, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
keys.clear();
keys.push_back(key1); keys.push_back(key4); // sigs must match pubkeys
CScript badsig5 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(!VerifyScript(badsig5, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(badsig5, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_EVAL_FALSE, ScriptErrorString(err));
keys.clear(); // Must have signatures
CScript badsig6 = sign_multisig(scriptPubKey23, keys, CTransaction(txTo23));
- BOOST_CHECK(!VerifyScript(badsig6, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue), &err));
+ BOOST_CHECK(!VerifyScript(badsig6, scriptPubKey23, nullptr, gFlags, MutableTransactionSignatureChecker(&txTo23, 0, txFrom23.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &err));
BOOST_CHECK_MESSAGE(err == SCRIPT_ERR_INVALID_STACK_OPERATION, ScriptErrorString(err));
}
@@ -1161,7 +1162,7 @@ SignatureData CombineSignatures(const CTxOut& txout, const CMutableTransaction&
SignatureData data;
data.MergeSignatureData(scriptSig1);
data.MergeSignatureData(scriptSig2);
- ProduceSignature(DUMMY_SIGNING_PROVIDER, MutableTransactionSignatureCreator(&tx, 0, txout.nValue), txout.scriptPubKey, data);
+ ProduceSignature(DUMMY_SIGNING_PROVIDER, MutableTransactionSignatureCreator(&tx, 0, txout.nValue, SIGHASH_DEFAULT), txout.scriptPubKey, data);
return data;
}
@@ -1473,7 +1474,7 @@ BOOST_AUTO_TEST_CASE(script_HasValidOps)
static CMutableTransaction TxFromHex(const std::string& str)
{
CMutableTransaction tx;
- VectorReader(SER_DISK, SERIALIZE_TRANSACTION_NO_WITNESS, ParseHex(str), 0) >> tx;
+ SpanReader{SER_DISK, SERIALIZE_TRANSACTION_NO_WITNESS, ParseHex(str)} >> tx;
return tx;
}
@@ -1483,7 +1484,7 @@ static std::vector<CTxOut> TxOutsFromJSON(const UniValue& univalue)
std::vector<CTxOut> prevouts;
for (size_t i = 0; i < univalue.size(); ++i) {
CTxOut txout;
- VectorReader(SER_DISK, 0, ParseHex(univalue[i].get_str()), 0) >> txout;
+ SpanReader{SER_DISK, 0, ParseHex(univalue[i].get_str())} >> txout;
prevouts.push_back(std::move(txout));
}
return prevouts;
@@ -1520,7 +1521,7 @@ BOOST_AUTO_TEST_CASE(bitcoinconsensus_verify_script_returns_true)
stream << spendTx;
bitcoinconsensus_error err;
- int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), (const unsigned char*)&stream[0], stream.size(), nIn, libconsensus_flags, &err);
+ int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), UCharCast(stream.data()), stream.size(), nIn, libconsensus_flags, &err);
BOOST_CHECK_EQUAL(result, 1);
BOOST_CHECK_EQUAL(err, bitcoinconsensus_ERR_OK);
}
@@ -1543,7 +1544,7 @@ BOOST_AUTO_TEST_CASE(bitcoinconsensus_verify_script_tx_index_err)
stream << spendTx;
bitcoinconsensus_error err;
- int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), (const unsigned char*)&stream[0], stream.size(), nIn, libconsensus_flags, &err);
+ int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), UCharCast(stream.data()), stream.size(), nIn, libconsensus_flags, &err);
BOOST_CHECK_EQUAL(result, 0);
BOOST_CHECK_EQUAL(err, bitcoinconsensus_ERR_TX_INDEX);
}
@@ -1566,7 +1567,7 @@ BOOST_AUTO_TEST_CASE(bitcoinconsensus_verify_script_tx_size)
stream << spendTx;
bitcoinconsensus_error err;
- int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), (const unsigned char*)&stream[0], stream.size() * 2, nIn, libconsensus_flags, &err);
+ int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), UCharCast(stream.data()), stream.size() * 2, nIn, libconsensus_flags, &err);
BOOST_CHECK_EQUAL(result, 0);
BOOST_CHECK_EQUAL(err, bitcoinconsensus_ERR_TX_SIZE_MISMATCH);
}
@@ -1589,7 +1590,7 @@ BOOST_AUTO_TEST_CASE(bitcoinconsensus_verify_script_tx_serialization)
stream << 0xffffffff;
bitcoinconsensus_error err;
- int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), (const unsigned char*)&stream[0], stream.size(), nIn, libconsensus_flags, &err);
+ int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), UCharCast(stream.data()), stream.size(), nIn, libconsensus_flags, &err);
BOOST_CHECK_EQUAL(result, 0);
BOOST_CHECK_EQUAL(err, bitcoinconsensus_ERR_TX_DESERIALIZE);
}
@@ -1612,7 +1613,7 @@ BOOST_AUTO_TEST_CASE(bitcoinconsensus_verify_script_amount_required_err)
stream << spendTx;
bitcoinconsensus_error err;
- int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), (const unsigned char*)&stream[0], stream.size(), nIn, libconsensus_flags, &err);
+ int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), UCharCast(stream.data()), stream.size(), nIn, libconsensus_flags, &err);
BOOST_CHECK_EQUAL(result, 0);
BOOST_CHECK_EQUAL(err, bitcoinconsensus_ERR_AMOUNT_REQUIRED);
}
@@ -1635,7 +1636,7 @@ BOOST_AUTO_TEST_CASE(bitcoinconsensus_verify_script_invalid_flags)
stream << spendTx;
bitcoinconsensus_error err;
- int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), (const unsigned char*)&stream[0], stream.size(), nIn, libconsensus_flags, &err);
+ int result = bitcoinconsensus_verify_script(scriptPubKey.data(), scriptPubKey.size(), UCharCast(stream.data()), stream.size(), nIn, libconsensus_flags, &err);
BOOST_CHECK_EQUAL(result, 0);
BOOST_CHECK_EQUAL(err, bitcoinconsensus_ERR_INVALID_FLAGS);
}
@@ -1678,7 +1679,7 @@ static void AssetTest(const UniValue& test)
const std::vector<CTxOut> prevouts = TxOutsFromJSON(test["prevouts"]);
BOOST_CHECK(prevouts.size() == mtx.vin.size());
size_t idx = test["index"].get_int64();
- unsigned int test_flags = ParseScriptFlags(test["flags"].get_str());
+ uint32_t test_flags{ParseScriptFlags(test["flags"].get_str())};
bool fin = test.exists("final") && test["final"].get_bool();
if (test.exists("success")) {
@@ -1727,13 +1728,13 @@ BOOST_AUTO_TEST_CASE(script_assets_test)
bool exists = fs::exists(path);
BOOST_WARN_MESSAGE(exists, "File $DIR_UNIT_TEST_DATA/script_assets_test.json not found, skipping script_assets_test");
if (!exists) return;
- fs::ifstream file(path);
+ std::ifstream file{path};
BOOST_CHECK(file.is_open());
file.seekg(0, std::ios::end);
size_t length = file.tellg();
file.seekg(0, std::ios::beg);
std::string data(length, '\0');
- file.read(&data[0], data.size());
+ file.read(data.data(), data.size());
UniValue tests = read_json(data);
BOOST_CHECK(tests.isArray());
BOOST_CHECK(tests.size() > 0);
@@ -1744,4 +1745,79 @@ BOOST_AUTO_TEST_CASE(script_assets_test)
file.close();
}
+BOOST_AUTO_TEST_CASE(bip341_keypath_test_vectors)
+{
+ UniValue tests;
+ tests.read((const char*)json_tests::bip341_wallet_vectors, sizeof(json_tests::bip341_wallet_vectors));
+
+ const auto& vectors = tests["keyPathSpending"];
+
+ for (const auto& vec : vectors.getValues()) {
+ auto txhex = ParseHex(vec["given"]["rawUnsignedTx"].get_str());
+ CMutableTransaction tx;
+ SpanReader{SER_NETWORK, PROTOCOL_VERSION, txhex} >> tx;
+ std::vector<CTxOut> utxos;
+ for (const auto& utxo_spent : vec["given"]["utxosSpent"].getValues()) {
+ auto script_bytes = ParseHex(utxo_spent["scriptPubKey"].get_str());
+ CScript script{script_bytes.begin(), script_bytes.end()};
+ CAmount amount{utxo_spent["amountSats"].get_int()};
+ utxos.emplace_back(amount, script);
+ }
+
+ PrecomputedTransactionData txdata;
+ txdata.Init(tx, std::vector<CTxOut>{utxos}, true);
+
+ BOOST_CHECK(txdata.m_bip341_taproot_ready);
+ BOOST_CHECK_EQUAL(HexStr(txdata.m_spent_amounts_single_hash), vec["intermediary"]["hashAmounts"].get_str());
+ BOOST_CHECK_EQUAL(HexStr(txdata.m_outputs_single_hash), vec["intermediary"]["hashOutputs"].get_str());
+ BOOST_CHECK_EQUAL(HexStr(txdata.m_prevouts_single_hash), vec["intermediary"]["hashPrevouts"].get_str());
+ BOOST_CHECK_EQUAL(HexStr(txdata.m_spent_scripts_single_hash), vec["intermediary"]["hashScriptPubkeys"].get_str());
+ BOOST_CHECK_EQUAL(HexStr(txdata.m_sequences_single_hash), vec["intermediary"]["hashSequences"].get_str());
+
+ for (const auto& input : vec["inputSpending"].getValues()) {
+ int txinpos = input["given"]["txinIndex"].get_int();
+ int hashtype = input["given"]["hashType"].get_int();
+
+ // Load key.
+ auto privkey = ParseHex(input["given"]["internalPrivkey"].get_str());
+ CKey key;
+ key.Set(privkey.begin(), privkey.end(), true);
+
+ // Load Merkle root.
+ uint256 merkle_root;
+ if (!input["given"]["merkleRoot"].isNull()) {
+ merkle_root = uint256{ParseHex(input["given"]["merkleRoot"].get_str())};
+ }
+
+ // Compute and verify (internal) public key.
+ XOnlyPubKey pubkey{key.GetPubKey()};
+ BOOST_CHECK_EQUAL(HexStr(pubkey), input["intermediary"]["internalPubkey"].get_str());
+
+ // Sign and verify signature.
+ FlatSigningProvider provider;
+ provider.keys[key.GetPubKey().GetID()] = key;
+ MutableTransactionSignatureCreator creator(&tx, txinpos, utxos[txinpos].nValue, &txdata, hashtype);
+ std::vector<unsigned char> signature;
+ BOOST_CHECK(creator.CreateSchnorrSig(provider, signature, pubkey, nullptr, &merkle_root, SigVersion::TAPROOT));
+ BOOST_CHECK_EQUAL(HexStr(signature), input["expected"]["witness"][0].get_str());
+
+ // We can't observe the tweak used inside the signing logic, so verify by recomputing it.
+ BOOST_CHECK_EQUAL(HexStr(pubkey.ComputeTapTweakHash(merkle_root.IsNull() ? nullptr : &merkle_root)), input["intermediary"]["tweak"].get_str());
+
+ // We can't observe the sighash used inside the signing logic, so verify by recomputing it.
+ ScriptExecutionData sed;
+ sed.m_annex_init = true;
+ sed.m_annex_present = false;
+ uint256 sighash;
+ BOOST_CHECK(SignatureHashSchnorr(sighash, sed, tx, txinpos, hashtype, SigVersion::TAPROOT, txdata, MissingDataBehavior::FAIL));
+ BOOST_CHECK_EQUAL(HexStr(sighash), input["intermediary"]["sigHash"].get_str());
+
+ // To verify the sigmsg, hash the expected sigmsg, and compare it with the (expected) sighash.
+ BOOST_CHECK_EQUAL(HexStr((CHashWriter(HASHER_TAPSIGHASH) << Span{ParseHex(input["intermediary"]["sigMsg"].get_str())}).GetSHA256()), input["intermediary"]["sigHash"].get_str());
+ }
+
+ }
+
+}
+
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/scriptnum10.h b/src/test/scriptnum10.h
index 352797f18d..1381d5d431 100644
--- a/src/test/scriptnum10.h
+++ b/src/test/scriptnum10.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -179,4 +179,4 @@ private:
};
-#endif // BITCOIN_TEST_BIGNUM_H
+#endif // BITCOIN_TEST_SCRIPTNUM10_H
diff --git a/src/test/serfloat_tests.cpp b/src/test/serfloat_tests.cpp
new file mode 100644
index 0000000000..ed1f081913
--- /dev/null
+++ b/src/test/serfloat_tests.cpp
@@ -0,0 +1,130 @@
+// Copyright (c) 2014-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <hash.h>
+#include <test/util/setup_common.h>
+#include <util/serfloat.h>
+#include <serialize.h>
+#include <streams.h>
+
+#include <boost/test/unit_test.hpp>
+
+#include <cmath>
+#include <limits>
+
+BOOST_FIXTURE_TEST_SUITE(serfloat_tests, BasicTestingSetup)
+
+namespace {
+
+uint64_t TestDouble(double f) {
+ uint64_t i = EncodeDouble(f);
+ double f2 = DecodeDouble(i);
+ if (std::isnan(f)) {
+ // NaN is not guaranteed to round-trip exactly.
+ BOOST_CHECK(std::isnan(f2));
+ } else {
+ // Everything else is.
+ BOOST_CHECK(!std::isnan(f2));
+ uint64_t i2 = EncodeDouble(f2);
+ BOOST_CHECK_EQUAL(f, f2);
+ BOOST_CHECK_EQUAL(i, i2);
+ }
+ return i;
+}
+
+} // namespace
+
+BOOST_AUTO_TEST_CASE(double_serfloat_tests) {
+ BOOST_CHECK_EQUAL(TestDouble(0.0), 0U);
+ BOOST_CHECK_EQUAL(TestDouble(-0.0), 0x8000000000000000);
+ BOOST_CHECK_EQUAL(TestDouble(std::numeric_limits<double>::infinity()), 0x7ff0000000000000U);
+ BOOST_CHECK_EQUAL(TestDouble(-std::numeric_limits<double>::infinity()), 0xfff0000000000000);
+ BOOST_CHECK_EQUAL(TestDouble(0.5), 0x3fe0000000000000ULL);
+ BOOST_CHECK_EQUAL(TestDouble(1.0), 0x3ff0000000000000ULL);
+ BOOST_CHECK_EQUAL(TestDouble(2.0), 0x4000000000000000ULL);
+ BOOST_CHECK_EQUAL(TestDouble(4.0), 0x4010000000000000ULL);
+ BOOST_CHECK_EQUAL(TestDouble(785.066650390625), 0x4088888880000000ULL);
+
+ // Roundtrip test on IEC559-compatible systems
+ if (std::numeric_limits<double>::is_iec559) {
+ BOOST_CHECK_EQUAL(sizeof(double), 8U);
+ BOOST_CHECK_EQUAL(sizeof(uint64_t), 8U);
+ // Test extreme values
+ TestDouble(std::numeric_limits<double>::min());
+ TestDouble(-std::numeric_limits<double>::min());
+ TestDouble(std::numeric_limits<double>::max());
+ TestDouble(-std::numeric_limits<double>::max());
+ TestDouble(std::numeric_limits<double>::lowest());
+ TestDouble(-std::numeric_limits<double>::lowest());
+ TestDouble(std::numeric_limits<double>::quiet_NaN());
+ TestDouble(-std::numeric_limits<double>::quiet_NaN());
+ TestDouble(std::numeric_limits<double>::signaling_NaN());
+ TestDouble(-std::numeric_limits<double>::signaling_NaN());
+ TestDouble(std::numeric_limits<double>::denorm_min());
+ TestDouble(-std::numeric_limits<double>::denorm_min());
+ // Test exact encoding: on currently supported platforms, EncodeDouble
+ // should produce exactly the same as the in-memory representation for non-NaN.
+ for (int j = 0; j < 1000; ++j) {
+ // Iterate over 9 specific bits exhaustively; the others are chosen randomly.
+ // These specific bits are the sign bit, and the 2 top and bottom bits of
+ // exponent and mantissa in the IEEE754 binary64 format.
+ for (int x = 0; x < 512; ++x) {
+ uint64_t v = InsecureRandBits(64);
+ v &= ~(uint64_t{1} << 0);
+ if (x & 1) v |= (uint64_t{1} << 0);
+ v &= ~(uint64_t{1} << 1);
+ if (x & 2) v |= (uint64_t{1} << 1);
+ v &= ~(uint64_t{1} << 50);
+ if (x & 4) v |= (uint64_t{1} << 50);
+ v &= ~(uint64_t{1} << 51);
+ if (x & 8) v |= (uint64_t{1} << 51);
+ v &= ~(uint64_t{1} << 52);
+ if (x & 16) v |= (uint64_t{1} << 52);
+ v &= ~(uint64_t{1} << 53);
+ if (x & 32) v |= (uint64_t{1} << 53);
+ v &= ~(uint64_t{1} << 61);
+ if (x & 64) v |= (uint64_t{1} << 61);
+ v &= ~(uint64_t{1} << 62);
+ if (x & 128) v |= (uint64_t{1} << 62);
+ v &= ~(uint64_t{1} << 63);
+ if (x & 256) v |= (uint64_t{1} << 63);
+ double f;
+ memcpy(&f, &v, 8);
+ uint64_t v2 = TestDouble(f);
+ if (!std::isnan(f)) BOOST_CHECK_EQUAL(v, v2);
+ }
+ }
+ }
+}
+
+/*
+Python code to generate the below hashes:
+
+ def reversed_hex(x):
+ return bytes(reversed(x)).hex()
+
+ def dsha256(x):
+ return hashlib.sha256(hashlib.sha256(x).digest()).digest()
+
+ reversed_hex(dsha256(b''.join(struct.pack('<d', x) for x in range(0,1000)))) == '43d0c82591953c4eafe114590d392676a01585d25b25d433557f0d7878b23f96'
+*/
+BOOST_AUTO_TEST_CASE(doubles)
+{
+ CDataStream ss(SER_DISK, 0);
+ // encode
+ for (int i = 0; i < 1000; i++) {
+ ss << EncodeDouble(i);
+ }
+ BOOST_CHECK(Hash(ss) == uint256S("43d0c82591953c4eafe114590d392676a01585d25b25d433557f0d7878b23f96"));
+
+ // decode
+ for (int i = 0; i < 1000; i++) {
+ uint64_t val;
+ ss >> val;
+ double j = DecodeDouble(val);
+ BOOST_CHECK_MESSAGE(i == j, "decoded:" << j << " expected:" << i);
+ }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/serialize_tests.cpp b/src/test/serialize_tests.cpp
index f77cda7ba2..2441847f99 100644
--- a/src/test/serialize_tests.cpp
+++ b/src/test/serialize_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -24,7 +24,7 @@ protected:
CTransactionRef txval;
public:
CSerializeMethodsTestSingle() = default;
- CSerializeMethodsTestSingle(int intvalin, bool boolvalin, std::string stringvalin, const char* charstrvalin, const CTransactionRef& txvalin) : intval(intvalin), boolval(boolvalin), stringval(std::move(stringvalin)), txval(txvalin)
+ CSerializeMethodsTestSingle(int intvalin, bool boolvalin, std::string stringvalin, const uint8_t* charstrvalin, const CTransactionRef& txvalin) : intval(intvalin), boolval(boolvalin), stringval(std::move(stringvalin)), txval(txvalin)
{
memcpy(charstrval, charstrvalin, sizeof(charstrval));
}
@@ -61,7 +61,7 @@ public:
BOOST_AUTO_TEST_CASE(sizes)
{
- BOOST_CHECK_EQUAL(sizeof(char), GetSerializeSize(char(0), 0));
+ BOOST_CHECK_EQUAL(sizeof(unsigned char), GetSerializeSize((unsigned char)0, 0));
BOOST_CHECK_EQUAL(sizeof(int8_t), GetSerializeSize(int8_t(0), 0));
BOOST_CHECK_EQUAL(sizeof(uint8_t), GetSerializeSize(uint8_t(0), 0));
BOOST_CHECK_EQUAL(sizeof(int16_t), GetSerializeSize(int16_t(0), 0));
@@ -70,13 +70,11 @@ BOOST_AUTO_TEST_CASE(sizes)
BOOST_CHECK_EQUAL(sizeof(uint32_t), GetSerializeSize(uint32_t(0), 0));
BOOST_CHECK_EQUAL(sizeof(int64_t), GetSerializeSize(int64_t(0), 0));
BOOST_CHECK_EQUAL(sizeof(uint64_t), GetSerializeSize(uint64_t(0), 0));
- BOOST_CHECK_EQUAL(sizeof(float), GetSerializeSize(float(0), 0));
- BOOST_CHECK_EQUAL(sizeof(double), GetSerializeSize(double(0), 0));
- // Bool is serialized as char
- BOOST_CHECK_EQUAL(sizeof(char), GetSerializeSize(bool(0), 0));
+ // Bool is serialized as uint8_t
+ BOOST_CHECK_EQUAL(sizeof(uint8_t), GetSerializeSize(bool(0), 0));
// Sanity-check GetSerializeSize and c++ type matching
- BOOST_CHECK_EQUAL(GetSerializeSize(char(0), 0), 1U);
+ BOOST_CHECK_EQUAL(GetSerializeSize((unsigned char)0, 0), 1U);
BOOST_CHECK_EQUAL(GetSerializeSize(int8_t(0), 0), 1U);
BOOST_CHECK_EQUAL(GetSerializeSize(uint8_t(0), 0), 1U);
BOOST_CHECK_EQUAL(GetSerializeSize(int16_t(0), 0), 2U);
@@ -85,93 +83,9 @@ BOOST_AUTO_TEST_CASE(sizes)
BOOST_CHECK_EQUAL(GetSerializeSize(uint32_t(0), 0), 4U);
BOOST_CHECK_EQUAL(GetSerializeSize(int64_t(0), 0), 8U);
BOOST_CHECK_EQUAL(GetSerializeSize(uint64_t(0), 0), 8U);
- BOOST_CHECK_EQUAL(GetSerializeSize(float(0), 0), 4U);
- BOOST_CHECK_EQUAL(GetSerializeSize(double(0), 0), 8U);
BOOST_CHECK_EQUAL(GetSerializeSize(bool(0), 0), 1U);
}
-BOOST_AUTO_TEST_CASE(floats_conversion)
-{
- // Choose values that map unambiguously to binary floating point to avoid
- // rounding issues at the compiler side.
- BOOST_CHECK_EQUAL(ser_uint32_to_float(0x00000000), 0.0F);
- BOOST_CHECK_EQUAL(ser_uint32_to_float(0x3f000000), 0.5F);
- BOOST_CHECK_EQUAL(ser_uint32_to_float(0x3f800000), 1.0F);
- BOOST_CHECK_EQUAL(ser_uint32_to_float(0x40000000), 2.0F);
- BOOST_CHECK_EQUAL(ser_uint32_to_float(0x40800000), 4.0F);
- BOOST_CHECK_EQUAL(ser_uint32_to_float(0x44444444), 785.066650390625F);
-
- BOOST_CHECK_EQUAL(ser_float_to_uint32(0.0F), 0x00000000U);
- BOOST_CHECK_EQUAL(ser_float_to_uint32(0.5F), 0x3f000000U);
- BOOST_CHECK_EQUAL(ser_float_to_uint32(1.0F), 0x3f800000U);
- BOOST_CHECK_EQUAL(ser_float_to_uint32(2.0F), 0x40000000U);
- BOOST_CHECK_EQUAL(ser_float_to_uint32(4.0F), 0x40800000U);
- BOOST_CHECK_EQUAL(ser_float_to_uint32(785.066650390625F), 0x44444444U);
-}
-
-BOOST_AUTO_TEST_CASE(doubles_conversion)
-{
- // Choose values that map unambiguously to binary floating point to avoid
- // rounding issues at the compiler side.
- BOOST_CHECK_EQUAL(ser_uint64_to_double(0x0000000000000000ULL), 0.0);
- BOOST_CHECK_EQUAL(ser_uint64_to_double(0x3fe0000000000000ULL), 0.5);
- BOOST_CHECK_EQUAL(ser_uint64_to_double(0x3ff0000000000000ULL), 1.0);
- BOOST_CHECK_EQUAL(ser_uint64_to_double(0x4000000000000000ULL), 2.0);
- BOOST_CHECK_EQUAL(ser_uint64_to_double(0x4010000000000000ULL), 4.0);
- BOOST_CHECK_EQUAL(ser_uint64_to_double(0x4088888880000000ULL), 785.066650390625);
-
- BOOST_CHECK_EQUAL(ser_double_to_uint64(0.0), 0x0000000000000000ULL);
- BOOST_CHECK_EQUAL(ser_double_to_uint64(0.5), 0x3fe0000000000000ULL);
- BOOST_CHECK_EQUAL(ser_double_to_uint64(1.0), 0x3ff0000000000000ULL);
- BOOST_CHECK_EQUAL(ser_double_to_uint64(2.0), 0x4000000000000000ULL);
- BOOST_CHECK_EQUAL(ser_double_to_uint64(4.0), 0x4010000000000000ULL);
- BOOST_CHECK_EQUAL(ser_double_to_uint64(785.066650390625), 0x4088888880000000ULL);
-}
-/*
-Python code to generate the below hashes:
-
- def reversed_hex(x):
- return binascii.hexlify(''.join(reversed(x)))
- def dsha256(x):
- return hashlib.sha256(hashlib.sha256(x).digest()).digest()
-
- reversed_hex(dsha256(''.join(struct.pack('<f', x) for x in range(0,1000)))) == '8e8b4cf3e4df8b332057e3e23af42ebc663b61e0495d5e7e32d85099d7f3fe0c'
- reversed_hex(dsha256(''.join(struct.pack('<d', x) for x in range(0,1000)))) == '43d0c82591953c4eafe114590d392676a01585d25b25d433557f0d7878b23f96'
-*/
-BOOST_AUTO_TEST_CASE(floats)
-{
- CDataStream ss(SER_DISK, 0);
- // encode
- for (int i = 0; i < 1000; i++) {
- ss << float(i);
- }
- BOOST_CHECK(Hash(ss) == uint256S("8e8b4cf3e4df8b332057e3e23af42ebc663b61e0495d5e7e32d85099d7f3fe0c"));
-
- // decode
- for (int i = 0; i < 1000; i++) {
- float j;
- ss >> j;
- BOOST_CHECK_MESSAGE(i == j, "decoded:" << j << " expected:" << i);
- }
-}
-
-BOOST_AUTO_TEST_CASE(doubles)
-{
- CDataStream ss(SER_DISK, 0);
- // encode
- for (int i = 0; i < 1000; i++) {
- ss << double(i);
- }
- BOOST_CHECK(Hash(ss) == uint256S("43d0c82591953c4eafe114590d392676a01585d25b25d433557f0d7878b23f96"));
-
- // decode
- for (int i = 0; i < 1000; i++) {
- double j;
- ss >> j;
- BOOST_CHECK_MESSAGE(i == j, "decoded:" << j << " expected:" << i);
- }
-}
-
BOOST_AUTO_TEST_CASE(varints)
{
// encode
@@ -272,84 +186,41 @@ BOOST_AUTO_TEST_CASE(noncanonical)
std::vector<char>::size_type n;
// zero encoded with three bytes:
- ss.write("\xfd\x00\x00", 3);
+ ss.write(MakeByteSpan("\xfd\x00\x00").first(3));
BOOST_CHECK_EXCEPTION(ReadCompactSize(ss), std::ios_base::failure, isCanonicalException);
// 0xfc encoded with three bytes:
- ss.write("\xfd\xfc\x00", 3);
+ ss.write(MakeByteSpan("\xfd\xfc\x00").first(3));
BOOST_CHECK_EXCEPTION(ReadCompactSize(ss), std::ios_base::failure, isCanonicalException);
// 0xfd encoded with three bytes is OK:
- ss.write("\xfd\xfd\x00", 3);
+ ss.write(MakeByteSpan("\xfd\xfd\x00").first(3));
n = ReadCompactSize(ss);
BOOST_CHECK(n == 0xfd);
// zero encoded with five bytes:
- ss.write("\xfe\x00\x00\x00\x00", 5);
+ ss.write(MakeByteSpan("\xfe\x00\x00\x00\x00").first(5));
BOOST_CHECK_EXCEPTION(ReadCompactSize(ss), std::ios_base::failure, isCanonicalException);
// 0xffff encoded with five bytes:
- ss.write("\xfe\xff\xff\x00\x00", 5);
+ ss.write(MakeByteSpan("\xfe\xff\xff\x00\x00").first(5));
BOOST_CHECK_EXCEPTION(ReadCompactSize(ss), std::ios_base::failure, isCanonicalException);
// zero encoded with nine bytes:
- ss.write("\xff\x00\x00\x00\x00\x00\x00\x00\x00", 9);
+ ss.write(MakeByteSpan("\xff\x00\x00\x00\x00\x00\x00\x00\x00").first(9));
BOOST_CHECK_EXCEPTION(ReadCompactSize(ss), std::ios_base::failure, isCanonicalException);
// 0x01ffffff encoded with nine bytes:
- ss.write("\xff\xff\xff\xff\x01\x00\x00\x00\x00", 9);
+ ss.write(MakeByteSpan("\xff\xff\xff\xff\x01\x00\x00\x00\x00").first(9));
BOOST_CHECK_EXCEPTION(ReadCompactSize(ss), std::ios_base::failure, isCanonicalException);
}
-BOOST_AUTO_TEST_CASE(insert_delete)
-{
- // Test inserting/deleting bytes.
- CDataStream ss(SER_DISK, 0);
- BOOST_CHECK_EQUAL(ss.size(), 0U);
-
- ss.write("\x00\x01\x02\xff", 4);
- BOOST_CHECK_EQUAL(ss.size(), 4U);
-
- char c = (char)11;
-
- // Inserting at beginning/end/middle:
- ss.insert(ss.begin(), c);
- BOOST_CHECK_EQUAL(ss.size(), 5U);
- BOOST_CHECK_EQUAL(ss[0], c);
- BOOST_CHECK_EQUAL(ss[1], 0);
-
- ss.insert(ss.end(), c);
- BOOST_CHECK_EQUAL(ss.size(), 6U);
- BOOST_CHECK_EQUAL(ss[4], 0xff);
- BOOST_CHECK_EQUAL(ss[5], c);
-
- ss.insert(ss.begin()+2, c);
- BOOST_CHECK_EQUAL(ss.size(), 7U);
- BOOST_CHECK_EQUAL(ss[2], c);
-
- // Delete at beginning/end/middle
- ss.erase(ss.begin());
- BOOST_CHECK_EQUAL(ss.size(), 6U);
- BOOST_CHECK_EQUAL(ss[0], 0);
-
- ss.erase(ss.begin()+ss.size()-1);
- BOOST_CHECK_EQUAL(ss.size(), 5U);
- BOOST_CHECK_EQUAL(ss[4], 0xff);
-
- ss.erase(ss.begin()+1);
- BOOST_CHECK_EQUAL(ss.size(), 4U);
- BOOST_CHECK_EQUAL(ss[0], 0);
- BOOST_CHECK_EQUAL(ss[1], 1);
- BOOST_CHECK_EQUAL(ss[2], 2);
- BOOST_CHECK_EQUAL(ss[3], 0xff);
-}
-
BOOST_AUTO_TEST_CASE(class_methods)
{
int intval(100);
bool boolval(true);
std::string stringval("testing");
- const char charstrval[16] = "testing charstr";
+ const uint8_t charstrval[16]{"testing charstr"};
CMutableTransaction txval;
CTransactionRef tx_ref{MakeTransactionRef(txval)};
CSerializeMethodsTestSingle methodtest1(intval, boolval, stringval, charstrval, tx_ref);
diff --git a/src/test/settings_tests.cpp b/src/test/settings_tests.cpp
index 548fd020a6..15ffd068c7 100644
--- a/src/test/settings_tests.cpp
+++ b/src/test/settings_tests.cpp
@@ -1,9 +1,10 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <util/settings.h>
+#include <fs.h>
#include <test/util/setup_common.h>
#include <test/util/str.h>
@@ -13,6 +14,11 @@
#include <util/strencodings.h>
#include <util/string.h>
#include <util/system.h>
+
+#include <fstream>
+#include <map>
+#include <string>
+#include <system_error>
#include <vector>
inline bool operator==(const util::SettingsValue& a, const util::SettingsValue& b)
@@ -36,7 +42,7 @@ inline std::ostream& operator<<(std::ostream& os, const std::pair<std::string, u
inline void WriteText(const fs::path& path, const std::string& text)
{
- fsbridge::ofstream file;
+ std::ofstream file;
file.open(path);
file << text;
}
@@ -45,7 +51,7 @@ BOOST_FIXTURE_TEST_SUITE(settings_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(ReadWrite)
{
- fs::path path = GetDataDir() / "settings.json";
+ fs::path path = m_args.GetDataDirBase() / "settings.json";
WriteText(path, R"({
"string": "string",
@@ -80,19 +86,19 @@ BOOST_AUTO_TEST_CASE(ReadWrite)
"dupe": "dupe"
})");
BOOST_CHECK(!util::ReadSettings(path, values, errors));
- std::vector<std::string> dup_keys = {strprintf("Found duplicate key dupe in settings file %s", path.string())};
+ std::vector<std::string> dup_keys = {strprintf("Found duplicate key dupe in settings file %s", fs::PathToString(path))};
BOOST_CHECK_EQUAL_COLLECTIONS(errors.begin(), errors.end(), dup_keys.begin(), dup_keys.end());
// Check non-kv json files not allowed
WriteText(path, R"("non-kv")");
BOOST_CHECK(!util::ReadSettings(path, values, errors));
- std::vector<std::string> non_kv = {strprintf("Found non-object value \"non-kv\" in settings file %s", path.string())};
+ std::vector<std::string> non_kv = {strprintf("Found non-object value \"non-kv\" in settings file %s", fs::PathToString(path))};
BOOST_CHECK_EQUAL_COLLECTIONS(errors.begin(), errors.end(), non_kv.begin(), non_kv.end());
// Check invalid json not allowed
WriteText(path, R"(invalid json)");
BOOST_CHECK(!util::ReadSettings(path, values, errors));
- std::vector<std::string> fail_parse = {strprintf("Unable to parse settings file %s", path.string())};
+ std::vector<std::string> fail_parse = {strprintf("Unable to parse settings file %s", fs::PathToString(path))};
BOOST_CHECK_EQUAL_COLLECTIONS(errors.begin(), errors.end(), fail_parse.begin(), fail_parse.end());
}
diff --git a/src/test/sighash_tests.cpp b/src/test/sighash_tests.cpp
index 2eb980e8cd..1601b02356 100644
--- a/src/test/sighash_tests.cpp
+++ b/src/test/sighash_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2013-2020 The Bitcoin Core developers
+// Copyright (c) 2013-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -21,7 +21,7 @@
#include <univalue.h>
-extern UniValue read_json(const std::string& jsondata);
+UniValue read_json(const std::string& jsondata);
// Old script.cpp SignatureHash function
uint256 static SignatureHashOld(CScript scriptCode, const CTransaction& txTo, unsigned int nIn, int nHashType)
@@ -91,8 +91,9 @@ void static RandomScript(CScript &script) {
script << oplist[InsecureRandRange(std::size(oplist))];
}
-void static RandomTransaction(CMutableTransaction &tx, bool fSingle) {
- tx.nVersion = InsecureRand32();
+void static RandomTransaction(CMutableTransaction& tx, bool fSingle)
+{
+ tx.nVersion = int(InsecureRand32());
tx.vin.clear();
tx.vout.clear();
tx.nLockTime = (InsecureRandBool()) ? InsecureRand32() : 0;
@@ -126,7 +127,7 @@ BOOST_AUTO_TEST_CASE(sighash_test)
int nRandomTests = 50000;
#endif
for (int i=0; i<nRandomTests; i++) {
- int nHashType = InsecureRand32();
+ int nHashType{int(InsecureRand32())};
CMutableTransaction txTo;
RandomTransaction(txTo, (nHashType & 0x1f) == SIGHASH_SINGLE);
CScript scriptCode;
diff --git a/src/test/sigopcount_tests.cpp b/src/test/sigopcount_tests.cpp
index 7e5274450d..55486db6b2 100644
--- a/src/test/sigopcount_tests.cpp
+++ b/src/test/sigopcount_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -67,11 +67,11 @@ BOOST_AUTO_TEST_CASE(GetSigOpCount)
* Verifies script execution of the zeroth scriptPubKey of tx output and
* zeroth scriptSig and witness of tx input.
*/
-static ScriptError VerifyWithFlag(const CTransaction& output, const CMutableTransaction& input, int flags)
+static ScriptError VerifyWithFlag(const CTransaction& output, const CMutableTransaction& input, uint32_t flags)
{
ScriptError error;
CTransaction inputi(input);
- bool ret = VerifyScript(inputi.vin[0].scriptSig, output.vout[0].scriptPubKey, &inputi.vin[0].scriptWitness, flags, TransactionSignatureChecker(&inputi, 0, output.vout[0].nValue), &error);
+ bool ret = VerifyScript(inputi.vin[0].scriptSig, output.vout[0].scriptPubKey, &inputi.vin[0].scriptWitness, flags, TransactionSignatureChecker(&inputi, 0, output.vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &error);
BOOST_CHECK((ret == true) == (error == SCRIPT_ERR_OK));
return error;
@@ -121,7 +121,7 @@ BOOST_AUTO_TEST_CASE(GetTxSigOpCost)
key.MakeNewKey(true);
CPubKey pubkey = key.GetPubKey();
// Default flags
- int flags = SCRIPT_VERIFY_WITNESS | SCRIPT_VERIFY_P2SH;
+ const uint32_t flags{SCRIPT_VERIFY_WITNESS | SCRIPT_VERIFY_P2SH};
// Multisig script (legacy counting)
{
diff --git a/src/test/skiplist_tests.cpp b/src/test/skiplist_tests.cpp
index 7ede79279f..6dadf09176 100644
--- a/src/test/skiplist_tests.cpp
+++ b/src/test/skiplist_tests.cpp
@@ -114,8 +114,8 @@ BOOST_AUTO_TEST_CASE(findearliestatleast_test)
} else {
// randomly choose something in the range [MTP, MTP*2]
int64_t medianTimePast = vBlocksMain[i].GetMedianTimePast();
- int r = InsecureRandRange(medianTimePast);
- vBlocksMain[i].nTime = r + medianTimePast;
+ int r{int(InsecureRandRange(medianTimePast))};
+ vBlocksMain[i].nTime = uint32_t(r + medianTimePast);
vBlocksMain[i].nTimeMax = std::max(vBlocksMain[i].nTime, vBlocksMain[i-1].nTimeMax);
}
}
diff --git a/src/test/sock_tests.cpp b/src/test/sock_tests.cpp
index ed9780dfb5..9e98f4f0b1 100644
--- a/src/test/sock_tests.cpp
+++ b/src/test/sock_tests.cpp
@@ -4,11 +4,13 @@
#include <compat.h>
#include <test/util/setup_common.h>
+#include <threadinterrupt.h>
#include <util/sock.h>
#include <util/system.h>
#include <boost/test/unit_test.hpp>
+#include <cassert>
#include <thread>
using namespace std::chrono_literals;
@@ -137,13 +139,42 @@ BOOST_AUTO_TEST_CASE(wait)
Sock sock0(s[0]);
Sock sock1(s[1]);
- std::thread waiter([&sock0]() { sock0.Wait(24h, Sock::RECV); });
+ std::thread waiter([&sock0]() { (void)sock0.Wait(24h, Sock::RECV); });
BOOST_REQUIRE_EQUAL(sock1.Send("a", 1, 0), 1);
waiter.join();
}
+BOOST_AUTO_TEST_CASE(recv_until_terminator_limit)
+{
+ constexpr auto timeout = 1min; // High enough so that it is never hit.
+ CThreadInterrupt interrupt;
+ int s[2];
+ CreateSocketPair(s);
+
+ Sock sock_send(s[0]);
+ Sock sock_recv(s[1]);
+
+ std::thread receiver([&sock_recv, &timeout, &interrupt]() {
+ constexpr size_t max_data{10};
+ bool threw_as_expected{false};
+ // BOOST_CHECK_EXCEPTION() writes to some variables shared with the main thread which
+ // creates a data race. So mimic it manually.
+ try {
+ (void)sock_recv.RecvUntilTerminator('\n', timeout, interrupt, max_data);
+ } catch (const std::runtime_error& e) {
+ threw_as_expected = HasReason("too many bytes without a terminator")(e);
+ }
+ assert(threw_as_expected);
+ });
+
+ BOOST_REQUIRE_NO_THROW(sock_send.SendComplete("1234567", timeout, interrupt));
+ BOOST_REQUIRE_NO_THROW(sock_send.SendComplete("89a\n", timeout, interrupt));
+
+ receiver.join();
+}
+
#endif /* WIN32 */
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/streams_tests.cpp b/src/test/streams_tests.cpp
index 3079c9ff29..0925e2e9ee 100644
--- a/src/test/streams_tests.cpp
+++ b/src/test/streams_tests.cpp
@@ -1,12 +1,15 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <fs.h>
#include <streams.h>
#include <test/util/setup_common.h>
#include <boost/test/unit_test.hpp>
+using namespace std::string_literals;
+
BOOST_FIXTURE_TEST_SUITE(streams_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(streams_vector_writer)
@@ -71,7 +74,7 @@ BOOST_AUTO_TEST_CASE(streams_vector_reader)
{
std::vector<unsigned char> vch = {1, 255, 3, 4, 5, 6};
- VectorReader reader(SER_NETWORK, INIT_PROTO_VERSION, vch, 0);
+ SpanReader reader{SER_NETWORK, INIT_PROTO_VERSION, vch};
BOOST_CHECK_EQUAL(reader.size(), 6U);
BOOST_CHECK(!reader.empty());
@@ -101,7 +104,7 @@ BOOST_AUTO_TEST_CASE(streams_vector_reader)
BOOST_CHECK_THROW(reader >> d, std::ios_base::failure);
// Read a 4 bytes as a signed int from the beginning of the buffer.
- VectorReader new_reader(SER_NETWORK, INIT_PROTO_VERSION, vch, 0);
+ SpanReader new_reader{SER_NETWORK, INIT_PROTO_VERSION, vch};
new_reader >> d;
BOOST_CHECK_EQUAL(d, 67370753); // 1,255,3,4 in little-endian base-256
BOOST_CHECK_EQUAL(new_reader.size(), 2U);
@@ -112,6 +115,17 @@ BOOST_AUTO_TEST_CASE(streams_vector_reader)
BOOST_CHECK_THROW(new_reader >> d, std::ios_base::failure);
}
+BOOST_AUTO_TEST_CASE(streams_vector_reader_rvalue)
+{
+ std::vector<uint8_t> data{0x82, 0xa7, 0x31};
+ SpanReader reader{SER_NETWORK, INIT_PROTO_VERSION, data};
+ uint32_t varint = 0;
+ // Deserialize into r-value
+ reader >> VARINT(varint);
+ BOOST_CHECK_EQUAL(varint, 54321U);
+ BOOST_CHECK(reader.empty());
+}
+
BOOST_AUTO_TEST_CASE(bitstream_reader_writer)
{
CDataStream data(SER_NETWORK, INIT_PROTO_VERSION);
@@ -149,62 +163,43 @@ BOOST_AUTO_TEST_CASE(bitstream_reader_writer)
BOOST_AUTO_TEST_CASE(streams_serializedata_xor)
{
- std::vector<uint8_t> in;
- std::vector<char> expected_xor;
- std::vector<unsigned char> key;
- CDataStream ds(in, 0, 0);
+ std::vector<std::byte> in;
// Degenerate case
+ {
+ CDataStream ds{in, 0, 0};
+ ds.Xor({0x00, 0x00});
+ BOOST_CHECK_EQUAL(""s, ds.str());
+ }
- key.push_back('\x00');
- key.push_back('\x00');
- ds.Xor(key);
- BOOST_CHECK_EQUAL(
- std::string(expected_xor.begin(), expected_xor.end()),
- std::string(ds.begin(), ds.end()));
-
- in.push_back('\x0f');
- in.push_back('\xf0');
- expected_xor.push_back('\xf0');
- expected_xor.push_back('\x0f');
+ in.push_back(std::byte{0x0f});
+ in.push_back(std::byte{0xf0});
// Single character key
-
- ds.clear();
- ds.insert(ds.begin(), in.begin(), in.end());
- key.clear();
-
- key.push_back('\xff');
- ds.Xor(key);
- BOOST_CHECK_EQUAL(
- std::string(expected_xor.begin(), expected_xor.end()),
- std::string(ds.begin(), ds.end()));
+ {
+ CDataStream ds{in, 0, 0};
+ ds.Xor({0xff});
+ BOOST_CHECK_EQUAL("\xf0\x0f"s, ds.str());
+ }
// Multi character key
in.clear();
- expected_xor.clear();
- in.push_back('\xf0');
- in.push_back('\x0f');
- expected_xor.push_back('\x0f');
- expected_xor.push_back('\x00');
-
- ds.clear();
- ds.insert(ds.begin(), in.begin(), in.end());
-
- key.clear();
- key.push_back('\xff');
- key.push_back('\x0f');
-
- ds.Xor(key);
- BOOST_CHECK_EQUAL(
- std::string(expected_xor.begin(), expected_xor.end()),
- std::string(ds.begin(), ds.end()));
+ in.push_back(std::byte{0xf0});
+ in.push_back(std::byte{0x0f});
+
+ {
+ CDataStream ds{in, 0, 0};
+ ds.Xor({0xff, 0x0f});
+ BOOST_CHECK_EQUAL("\x0f\x00"s, ds.str());
+ }
}
BOOST_AUTO_TEST_CASE(streams_buffered_file)
{
- FILE* file = fsbridge::fopen("streams_test_tmp", "w+b");
+ fs::path streams_test_filename = m_args.GetDataDirBase() / "streams_test_tmp";
+ FILE* file = fsbridge::fopen(streams_test_filename, "w+b");
+
// The value at each offset is the offset.
for (uint8_t j = 0; j < 40; ++j) {
fwrite(&j, 1, 1, file);
@@ -332,7 +327,7 @@ BOOST_AUTO_TEST_CASE(streams_buffered_file)
// We can explicitly close the file, or the destructor will do it.
bf.fclose();
- fs::remove("streams_test_tmp");
+ fs::remove(streams_test_filename);
}
BOOST_AUTO_TEST_CASE(streams_buffered_file_rand)
@@ -340,8 +335,9 @@ BOOST_AUTO_TEST_CASE(streams_buffered_file_rand)
// Make this test deterministic.
SeedInsecureRand(SeedRand::ZEROS);
+ fs::path streams_test_filename = m_args.GetDataDirBase() / "streams_test_tmp";
for (int rep = 0; rep < 50; ++rep) {
- FILE* file = fsbridge::fopen("streams_test_tmp", "w+b");
+ FILE* file = fsbridge::fopen(streams_test_filename, "w+b");
size_t fileSize = InsecureRandRange(256);
for (uint8_t i = 0; i < fileSize; ++i) {
fwrite(&i, 1, 1, file);
@@ -407,7 +403,7 @@ BOOST_AUTO_TEST_CASE(streams_buffered_file_rand)
size_t find = currentPos + InsecureRandRange(8);
if (find >= fileSize)
find = fileSize - 1;
- bf.FindByte(static_cast<char>(find));
+ bf.FindByte(uint8_t(find));
// The value at each offset is the offset.
BOOST_CHECK_EQUAL(bf.GetPos(), find);
currentPos = find;
@@ -442,7 +438,7 @@ BOOST_AUTO_TEST_CASE(streams_buffered_file_rand)
maxPos = currentPos;
}
}
- fs::remove("streams_test_tmp");
+ fs::remove(streams_test_filename);
}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/sync_tests.cpp b/src/test/sync_tests.cpp
index 3e4d1dac9e..55c2c5108d 100644
--- a/src/test/sync_tests.cpp
+++ b/src/test/sync_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,6 +8,7 @@
#include <boost/test/unit_test.hpp>
#include <mutex>
+#include <stdexcept>
namespace {
template <typename MutexType>
@@ -76,7 +77,7 @@ void TestInconsistentLockOrderDetected(MutexType& mutex1, MutexType& mutex2) NO_
}
} // namespace
-BOOST_FIXTURE_TEST_SUITE(sync_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(sync_tests)
BOOST_AUTO_TEST_CASE(potential_deadlock_detected)
{
diff --git a/src/test/system_tests.cpp b/src/test/system_tests.cpp
index 940145b84f..9c6950f11f 100644
--- a/src/test/system_tests.cpp
+++ b/src/test/system_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
//
@@ -7,6 +7,11 @@
#include <univalue.h>
#ifdef ENABLE_EXTERNAL_SIGNER
+#if defined(WIN32) && !defined(__kernel_entry)
+// A workaround for boost 1.71 incompatibility with mingw-w64 compiler.
+// For details see https://github.com/bitcoin/bitcoin/pull/22348.
+#define __kernel_entry
+#endif
#include <boost/process.hpp>
#endif // ENABLE_EXTERNAL_SIGNER
@@ -23,28 +28,6 @@ BOOST_AUTO_TEST_CASE(dummy)
#ifdef ENABLE_EXTERNAL_SIGNER
-bool checkMessage(const std::runtime_error& ex)
-{
- // On Linux & Mac: "No such file or directory"
- // On Windows: "The system cannot find the file specified."
- const std::string what(ex.what());
- BOOST_CHECK(what.find("file") != std::string::npos);
- return true;
-}
-
-bool checkMessageFalse(const std::runtime_error& ex)
-{
- BOOST_CHECK_EQUAL(ex.what(), std::string("RunCommandParseJSON error: process(false) returned 1: \n"));
- return true;
-}
-
-bool checkMessageStdErr(const std::runtime_error& ex)
-{
- const std::string what(ex.what());
- BOOST_CHECK(what.find("RunCommandParseJSON error:") != std::string::npos);
- return checkMessage(ex);
-}
-
BOOST_AUTO_TEST_CASE(run_command)
{
{
@@ -53,10 +36,8 @@ BOOST_AUTO_TEST_CASE(run_command)
}
{
#ifdef WIN32
- // Windows requires single quotes to prevent escaping double quotes from the JSON...
- const UniValue result = RunCommandParseJSON("echo '{\"success\": true}'");
+ const UniValue result = RunCommandParseJSON("cmd.exe /c echo {\"success\": true}");
#else
- // ... but Linux and macOS echo a single quote if it's used
const UniValue result = RunCommandParseJSON("echo \"{\"success\": true}\"");
#endif
BOOST_CHECK(result.isObject());
@@ -66,15 +47,45 @@ BOOST_AUTO_TEST_CASE(run_command)
}
{
// An invalid command is handled by Boost
- BOOST_CHECK_EXCEPTION(RunCommandParseJSON("invalid_command"), boost::process::process_error, checkMessage); // Command failed
+#ifdef WIN32
+ const std::string expected{"The system cannot find the file specified."};
+#else
+ const std::string expected{"No such file or directory"};
+#endif
+ BOOST_CHECK_EXCEPTION(RunCommandParseJSON("invalid_command"), boost::process::process_error, [&](const boost::process::process_error& e) {
+ const std::string what(e.what());
+ BOOST_CHECK(what.find("RunCommandParseJSON error:") == std::string::npos);
+ BOOST_CHECK(what.find(expected) != std::string::npos);
+ return true;
+ });
}
{
// Return non-zero exit code, no output to stderr
- BOOST_CHECK_EXCEPTION(RunCommandParseJSON("false"), std::runtime_error, checkMessageFalse);
+#ifdef WIN32
+ const std::string command{"cmd.exe /c call"};
+#else
+ const std::string command{"false"};
+#endif
+ BOOST_CHECK_EXCEPTION(RunCommandParseJSON(command), std::runtime_error, [&](const std::runtime_error& e) {
+ BOOST_CHECK(std::string(e.what()).find(strprintf("RunCommandParseJSON error: process(%s) returned 1: \n", command)) != std::string::npos);
+ return true;
+ });
}
{
// Return non-zero exit code, with error message for stderr
- BOOST_CHECK_EXCEPTION(RunCommandParseJSON("ls nosuchfile"), std::runtime_error, checkMessageStdErr);
+#ifdef WIN32
+ const std::string command{"cmd.exe /c dir nosuchfile"};
+ const std::string expected{"File Not Found"};
+#else
+ const std::string command{"ls nosuchfile"};
+ const std::string expected{"No such file or directory"};
+#endif
+ BOOST_CHECK_EXCEPTION(RunCommandParseJSON(command), std::runtime_error, [&](const std::runtime_error& e) {
+ const std::string what(e.what());
+ BOOST_CHECK(what.find(strprintf("RunCommandParseJSON error: process(%s) returned", command)) != std::string::npos);
+ BOOST_CHECK(what.find(expected) != std::string::npos);
+ return true;
+ });
}
{
BOOST_REQUIRE_THROW(RunCommandParseJSON("echo \"{\""), std::runtime_error); // Unable to parse JSON
diff --git a/src/test/torcontrol_tests.cpp b/src/test/torcontrol_tests.cpp
index 41aa17988c..659caaef61 100644
--- a/src/test/torcontrol_tests.cpp
+++ b/src/test/torcontrol_tests.cpp
@@ -2,7 +2,6 @@
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
//
-#include <test/util/setup_common.h>
#include <boost/test/unit_test.hpp>
@@ -15,7 +14,7 @@ std::pair<std::string, std::string> SplitTorReplyLine(const std::string& s);
std::map<std::string, std::string> ParseTorReplyMapping(const std::string& s);
-BOOST_FIXTURE_TEST_SUITE(torcontrol_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(torcontrol_tests)
static void CheckSplitTorReplyLine(std::string input, std::string command, std::string args)
{
diff --git a/src/test/transaction_tests.cpp b/src/test/transaction_tests.cpp
index 8f1d99b199..4fb7f9c405 100644
--- a/src/test/transaction_tests.cpp
+++ b/src/test/transaction_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,6 +8,7 @@
#include <checkqueue.h>
#include <clientversion.h>
+#include <consensus/amount.h>
#include <consensus/tx_check.h>
#include <consensus/validation.h>
#include <core_io.h>
@@ -20,6 +21,7 @@
#include <script/signingprovider.h>
#include <script/standard.h>
#include <streams.h>
+#include <test/util/script.h>
#include <test/util/transaction_utils.h>
#include <util/strencodings.h>
#include <util/string.h>
@@ -38,7 +40,7 @@
typedef std::vector<unsigned char> valtype;
// In script_tests.cpp
-extern UniValue read_json(const std::string& jsondata);
+UniValue read_json(const std::string& jsondata);
static std::map<std::string, unsigned int> mapFlagNames = {
{std::string("P2SH"), (unsigned int)SCRIPT_VERIFY_P2SH},
@@ -59,6 +61,9 @@ static std::map<std::string, unsigned int> mapFlagNames = {
{std::string("WITNESS_PUBKEYTYPE"), (unsigned int)SCRIPT_VERIFY_WITNESS_PUBKEYTYPE},
{std::string("CONST_SCRIPTCODE"), (unsigned int)SCRIPT_VERIFY_CONST_SCRIPTCODE},
{std::string("TAPROOT"), (unsigned int)SCRIPT_VERIFY_TAPROOT},
+ {std::string("DISCOURAGE_UPGRADABLE_PUBKEYTYPE"), (unsigned int)SCRIPT_VERIFY_DISCOURAGE_UPGRADABLE_PUBKEYTYPE},
+ {std::string("DISCOURAGE_OP_SUCCESS"), (unsigned int)SCRIPT_VERIFY_DISCOURAGE_OP_SUCCESS},
+ {std::string("DISCOURAGE_UPGRADABLE_TAPROOT_VERSION"), (unsigned int)SCRIPT_VERIFY_DISCOURAGE_UPGRADABLE_TAPROOT_VERSION},
};
unsigned int ParseScriptFlags(std::string strFlags)
@@ -78,6 +83,16 @@ unsigned int ParseScriptFlags(std::string strFlags)
return flags;
}
+// Check that all flags in STANDARD_SCRIPT_VERIFY_FLAGS are present in mapFlagNames.
+bool CheckMapFlagNames()
+{
+ unsigned int standard_flags_missing{STANDARD_SCRIPT_VERIFY_FLAGS};
+ for (const auto& pair : mapFlagNames) {
+ standard_flags_missing &= ~(pair.second);
+ }
+ return standard_flags_missing == 0;
+}
+
std::string FormatScriptFlags(unsigned int flags)
{
if (flags == 0) {
@@ -108,7 +123,7 @@ bool CheckTxScripts(const CTransaction& tx, const std::map<COutPoint, CScript>&
const CAmount amount = map_prevout_values.count(input.prevout) ? map_prevout_values.at(input.prevout) : 0;
try {
tx_valid = VerifyScript(input.scriptSig, map_prevout_scriptPubKeys.at(input.prevout),
- &input.scriptWitness, flags, TransactionSignatureChecker(&tx, i, amount, txdata), &err);
+ &input.scriptWitness, flags, TransactionSignatureChecker(&tx, i, amount, txdata, MissingDataBehavior::ASSERT_FAIL), &err);
} catch (...) {
BOOST_ERROR("Bad test: " << strTest);
return true; // The test format is bad and an error is thrown. Return true to silence further error.
@@ -139,6 +154,7 @@ unsigned int TrimFlags(unsigned int flags)
// CLEANSTACK requires WITNESS (and transitively CLEANSTACK requires P2SH)
if (!(flags & SCRIPT_VERIFY_WITNESS)) flags &= ~(unsigned int)SCRIPT_VERIFY_CLEANSTACK;
+ Assert(IsValidFlagCombination(flags));
return flags;
}
@@ -149,17 +165,21 @@ unsigned int FillFlags(unsigned int flags)
// WITNESS implies P2SH (and transitively CLEANSTACK implies P2SH)
if (flags & SCRIPT_VERIFY_WITNESS) flags |= SCRIPT_VERIFY_P2SH;
+ Assert(IsValidFlagCombination(flags));
return flags;
}
-// Return valid flags that are all except one flag for each flag
-std::vector<unsigned int> ExcludeIndividualFlags(unsigned int flags)
+// Exclude each possible script verify flag from flags. Returns a set of these flag combinations
+// that are valid and without duplicates. For example: if flags=1111 and the 4 possible flags are
+// 0001, 0010, 0100, and 1000, this should return the set {0111, 1011, 1101, 1110}.
+// Assumes that mapFlagNames contains all script verify flags.
+std::set<unsigned int> ExcludeIndividualFlags(unsigned int flags)
{
- std::vector<unsigned int> flags_combos;
- for (unsigned int i = 0; i < mapFlagNames.size(); ++i) {
- const unsigned int flags_excluding_i = TrimFlags(flags & ~(1U << i));
- if (flags != flags_excluding_i && std::find(flags_combos.begin(), flags_combos.end(), flags_excluding_i) != flags_combos.end()) {
- flags_combos.push_back(flags_excluding_i);
+ std::set<unsigned int> flags_combos;
+ for (const auto& pair : mapFlagNames) {
+ const unsigned int flags_excluding_one = TrimFlags(flags & ~(pair.second));
+ if (flags != flags_excluding_one) {
+ flags_combos.insert(flags_excluding_one);
}
}
return flags_combos;
@@ -169,6 +189,7 @@ BOOST_FIXTURE_TEST_SUITE(transaction_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(tx_valid)
{
+ BOOST_CHECK_MESSAGE(CheckMapFlagNames(), "mapFlagNames is missing a script verification flag");
// Read tests from test/data/tx_valid.json
UniValue tests = read_json(std::string(json_tests::tx_valid, json_tests::tx_valid + sizeof(json_tests::tx_valid)));
@@ -199,7 +220,7 @@ BOOST_AUTO_TEST_CASE(tx_valid)
fValid = false;
break;
}
- COutPoint outpoint(uint256S(vinput[0].get_str()), vinput[1].get_int());
+ COutPoint outpoint{uint256S(vinput[0].get_str()), uint32_t(vinput[1].get_int())};
mapprevOutScriptPubKeys[outpoint] = ParseScript(vinput[2].get_str());
if (vinput.size() >= 4)
{
@@ -228,27 +249,26 @@ BOOST_AUTO_TEST_CASE(tx_valid)
BOOST_ERROR("Bad test flags: " << strTest);
}
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, ~verify_flags, txdata, strTest, /* expect_valid */ true)) {
- BOOST_ERROR("Tx unexpectedly failed: " << strTest);
- }
+ BOOST_CHECK_MESSAGE(CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, ~verify_flags, txdata, strTest, /*expect_valid=*/true),
+ "Tx unexpectedly failed: " << strTest);
// Backwards compatibility of script verification flags: Removing any flag(s) should not invalidate a valid transaction
- for (size_t i = 0; i < mapFlagNames.size(); ++i) {
+ for (const auto& [name, flag] : mapFlagNames) {
// Removing individual flags
- unsigned int flags = TrimFlags(~(verify_flags | (1U << i)));
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /* expect_valid */ true)) {
- BOOST_ERROR("Tx unexpectedly failed with flag " << ToString(i) << " unset: " << strTest);
+ unsigned int flags = TrimFlags(~(verify_flags | flag));
+ if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /*expect_valid=*/true)) {
+ BOOST_ERROR("Tx unexpectedly failed with flag " << name << " unset: " << strTest);
}
// Removing random combinations of flags
flags = TrimFlags(~(verify_flags | (unsigned int)InsecureRandBits(mapFlagNames.size())));
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /* expect_valid */ true)) {
+ if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /*expect_valid=*/true)) {
BOOST_ERROR("Tx unexpectedly failed with random flags " << ToString(flags) << ": " << strTest);
}
}
// Check that flags are maximal: transaction should fail if any unset flags are set.
- for (auto flags_excluding_one: ExcludeIndividualFlags(verify_flags)) {
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, ~flags_excluding_one, txdata, strTest, /* expect_valid */ false)) {
+ for (auto flags_excluding_one : ExcludeIndividualFlags(verify_flags)) {
+ if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, ~flags_excluding_one, txdata, strTest, /*expect_valid=*/false)) {
BOOST_ERROR("Too many flags unset: " << strTest);
}
}
@@ -288,7 +308,7 @@ BOOST_AUTO_TEST_CASE(tx_invalid)
fValid = false;
break;
}
- COutPoint outpoint(uint256S(vinput[0].get_str()), vinput[1].get_int());
+ COutPoint outpoint{uint256S(vinput[0].get_str()), uint32_t(vinput[1].get_int())};
mapprevOutScriptPubKeys[outpoint] = ParseScript(vinput[2].get_str());
if (vinput.size() >= 4)
{
@@ -314,28 +334,32 @@ BOOST_AUTO_TEST_CASE(tx_invalid)
PrecomputedTransactionData txdata(tx);
unsigned int verify_flags = ParseScriptFlags(test[2].get_str());
- // Not using FillFlags() in the main test, in order to detect invalid verifyFlags combination
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, verify_flags, txdata, strTest, /* expect_valid */ false)) {
- BOOST_ERROR("Tx unexpectedly passed: " << strTest);
+ // Check that the test gives a valid combination of flags (otherwise VerifyScript will throw). Don't edit the flags.
+ if (verify_flags != FillFlags(verify_flags)) {
+ BOOST_ERROR("Bad test flags: " << strTest);
}
+ // Not using FillFlags() in the main test, in order to detect invalid verifyFlags combination
+ BOOST_CHECK_MESSAGE(CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, verify_flags, txdata, strTest, /*expect_valid=*/false),
+ "Tx unexpectedly passed: " << strTest);
+
// Backwards compatibility of script verification flags: Adding any flag(s) should not validate an invalid transaction
- for (size_t i = 0; i < mapFlagNames.size(); i++) {
- unsigned int flags = FillFlags(verify_flags | (1U << i));
+ for (const auto& [name, flag] : mapFlagNames) {
+ unsigned int flags = FillFlags(verify_flags | flag);
// Adding individual flags
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /* expect_valid */ false)) {
- BOOST_ERROR("Tx unexpectedly passed with flag " << ToString(i) << " set: " << strTest);
+ if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /*expect_valid=*/false)) {
+ BOOST_ERROR("Tx unexpectedly passed with flag " << name << " set: " << strTest);
}
// Adding random combinations of flags
flags = FillFlags(verify_flags | (unsigned int)InsecureRandBits(mapFlagNames.size()));
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /* expect_valid */ false)) {
- BOOST_ERROR("Tx unexpectedly passed with random flags " << ToString(flags) << ": " << strTest);
+ if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags, txdata, strTest, /*expect_valid=*/false)) {
+ BOOST_ERROR("Tx unexpectedly passed with random flags " << name << ": " << strTest);
}
}
// Check that flags are minimal: transaction should succeed if any set flags are unset.
- for (auto flags_excluding_one: ExcludeIndividualFlags(verify_flags)) {
- if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags_excluding_one, txdata, strTest, /* expect_valid */ true)) {
+ for (auto flags_excluding_one : ExcludeIndividualFlags(verify_flags)) {
+ if (!CheckTxScripts(tx, mapprevOutScriptPubKeys, mapprevOutValues, flags_excluding_one, txdata, strTest, /*expect_valid=*/true)) {
BOOST_ERROR("Too many flags set: " << strTest);
}
}
@@ -382,7 +406,7 @@ BOOST_AUTO_TEST_CASE(test_Get)
t1.vout[0].nValue = 90*CENT;
t1.vout[0].scriptPubKey << OP_1;
- BOOST_CHECK(AreInputsStandard(CTransaction(t1), coins, false));
+ BOOST_CHECK(AreInputsStandard(CTransaction(t1), coins));
}
static void CreateCreditAndSpend(const FillableSigningProvider& keystore, const CScript& outscript, CTransactionRef& output, CMutableTransaction& input, bool success = true)
@@ -423,11 +447,11 @@ static void CreateCreditAndSpend(const FillableSigningProvider& keystore, const
assert(input.vin[0].scriptWitness.stack == inputm.vin[0].scriptWitness.stack);
}
-static void CheckWithFlag(const CTransactionRef& output, const CMutableTransaction& input, int flags, bool success)
+static void CheckWithFlag(const CTransactionRef& output, const CMutableTransaction& input, uint32_t flags, bool success)
{
ScriptError error;
CTransaction inputi(input);
- bool ret = VerifyScript(inputi.vin[0].scriptSig, output->vout[0].scriptPubKey, &inputi.vin[0].scriptWitness, flags, TransactionSignatureChecker(&inputi, 0, output->vout[0].nValue), &error);
+ bool ret = VerifyScript(inputi.vin[0].scriptSig, output->vout[0].scriptPubKey, &inputi.vin[0].scriptWitness, flags, TransactionSignatureChecker(&inputi, 0, output->vout[0].nValue, MissingDataBehavior::ASSERT_FAIL), &error);
assert(ret == success);
}
@@ -538,7 +562,7 @@ SignatureData CombineSignatures(const CMutableTransaction& input1, const CMutabl
SignatureData sigdata;
sigdata = DataFromTransaction(input1, 0, tx->vout[0]);
sigdata.MergeSignatureData(DataFromTransaction(input2, 0, tx->vout[0]));
- ProduceSignature(DUMMY_SIGNING_PROVIDER, MutableTransactionSignatureCreator(&input1, 0, tx->vout[0].nValue), tx->vout[0].scriptPubKey, sigdata);
+ ProduceSignature(DUMMY_SIGNING_PROVIDER, MutableTransactionSignatureCreator(&input1, 0, tx->vout[0].nValue, SIGHASH_ALL), tx->vout[0].scriptPubKey, sigdata);
return sigdata;
}
@@ -742,95 +766,89 @@ BOOST_AUTO_TEST_CASE(test_IsStandard)
key.MakeNewKey(true);
t.vout[0].scriptPubKey = GetScriptForDestination(PKHash(key.GetPubKey()));
- std::string reason;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ constexpr auto CheckIsStandard = [](const auto& t) {
+ std::string reason;
+ BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ BOOST_CHECK(reason.empty());
+ };
+ constexpr auto CheckIsNotStandard = [](const auto& t, const std::string& reason_in) {
+ std::string reason;
+ BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
+ BOOST_CHECK_EQUAL(reason_in, reason);
+ };
+
+ CheckIsStandard(t);
// Check dust with default relay fee:
- CAmount nDustThreshold = 182 * dustRelayFee.GetFeePerK()/1000;
+ CAmount nDustThreshold = 182 * dustRelayFee.GetFeePerK() / 1000;
BOOST_CHECK_EQUAL(nDustThreshold, 546);
// dust:
t.vout[0].nValue = nDustThreshold - 1;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "dust");
+ CheckIsNotStandard(t, "dust");
// not dust:
t.vout[0].nValue = nDustThreshold;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
// Disallowed nVersion
t.nVersion = -1;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "version");
+ CheckIsNotStandard(t, "version");
t.nVersion = 0;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "version");
+ CheckIsNotStandard(t, "version");
t.nVersion = 3;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "version");
+ CheckIsNotStandard(t, "version");
// Allowed nVersion
t.nVersion = 1;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
t.nVersion = 2;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
// Check dust with odd relay fee to verify rounding:
// nDustThreshold = 182 * 3702 / 1000
dustRelayFee = CFeeRate(3702);
// dust:
- t.vout[0].nValue = 673 - 1;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "dust");
+ t.vout[0].nValue = 674 - 1;
+ CheckIsNotStandard(t, "dust");
// not dust:
- t.vout[0].nValue = 673;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ t.vout[0].nValue = 674;
+ CheckIsStandard(t);
dustRelayFee = CFeeRate(DUST_RELAY_TX_FEE);
t.vout[0].scriptPubKey = CScript() << OP_1;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "scriptpubkey");
+ CheckIsNotStandard(t, "scriptpubkey");
// MAX_OP_RETURN_RELAY-byte TxoutType::NULL_DATA (standard)
t.vout[0].scriptPubKey = CScript() << OP_RETURN << ParseHex("04678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef3804678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef38");
BOOST_CHECK_EQUAL(MAX_OP_RETURN_RELAY, t.vout[0].scriptPubKey.size());
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
// MAX_OP_RETURN_RELAY+1-byte TxoutType::NULL_DATA (non-standard)
t.vout[0].scriptPubKey = CScript() << OP_RETURN << ParseHex("04678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef3804678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef3800");
BOOST_CHECK_EQUAL(MAX_OP_RETURN_RELAY + 1, t.vout[0].scriptPubKey.size());
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "scriptpubkey");
+ CheckIsNotStandard(t, "scriptpubkey");
// Data payload can be encoded in any way...
t.vout[0].scriptPubKey = CScript() << OP_RETURN << ParseHex("");
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
t.vout[0].scriptPubKey = CScript() << OP_RETURN << ParseHex("00") << ParseHex("01");
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
// OP_RESERVED *is* considered to be a PUSHDATA type opcode by IsPushOnly()!
t.vout[0].scriptPubKey = CScript() << OP_RETURN << OP_RESERVED << -1 << 0 << ParseHex("01") << 2 << 3 << 4 << 5 << 6 << 7 << 8 << 9 << 10 << 11 << 12 << 13 << 14 << 15 << 16;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
t.vout[0].scriptPubKey = CScript() << OP_RETURN << 0 << ParseHex("01") << 2 << ParseHex("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff");
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
// ...so long as it only contains PUSHDATA's
t.vout[0].scriptPubKey = CScript() << OP_RETURN << OP_RETURN;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "scriptpubkey");
+ CheckIsNotStandard(t, "scriptpubkey");
// TxoutType::NULL_DATA w/o PUSHDATA
t.vout.resize(1);
t.vout[0].scriptPubKey = CScript() << OP_RETURN;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
// Only one TxoutType::NULL_DATA permitted in all cases
t.vout.resize(2);
@@ -838,21 +856,15 @@ BOOST_AUTO_TEST_CASE(test_IsStandard)
t.vout[0].nValue = 0;
t.vout[1].scriptPubKey = CScript() << OP_RETURN << ParseHex("04678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef38");
t.vout[1].nValue = 0;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "multi-op-return");
+ CheckIsNotStandard(t, "multi-op-return");
t.vout[0].scriptPubKey = CScript() << OP_RETURN << ParseHex("04678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef38");
t.vout[1].scriptPubKey = CScript() << OP_RETURN;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "multi-op-return");
+ CheckIsNotStandard(t, "multi-op-return");
t.vout[0].scriptPubKey = CScript() << OP_RETURN;
t.vout[1].scriptPubKey = CScript() << OP_RETURN;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "multi-op-return");
+ CheckIsNotStandard(t, "multi-op-return");
// Check large scriptSig (non-standard if size is >1650 bytes)
t.vout.resize(1);
@@ -860,12 +872,10 @@ BOOST_AUTO_TEST_CASE(test_IsStandard)
t.vout[0].scriptPubKey = GetScriptForDestination(PKHash(key.GetPubKey()));
// OP_PUSHDATA2 with len (3 bytes) + data (1647 bytes) = 1650 bytes
t.vin[0].scriptSig = CScript() << std::vector<unsigned char>(1647, 0); // 1650
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
t.vin[0].scriptSig = CScript() << std::vector<unsigned char>(1648, 0); // 1651
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "scriptsig-size");
+ CheckIsNotStandard(t, "scriptsig-size");
// Check scriptSig format (non-standard if there are any other ops than just PUSHs)
t.vin[0].scriptSig = CScript()
@@ -874,7 +884,7 @@ BOOST_AUTO_TEST_CASE(test_IsStandard)
<< std::vector<unsigned char>(235, 0) // OP_PUSHDATA1 x [...x bytes...]
<< std::vector<unsigned char>(1234, 0) // OP_PUSHDATA2 x [...x bytes...]
<< OP_9;
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
const std::vector<unsigned char> non_push_ops = { // arbitrary set of non-push operations
OP_NOP, OP_VERIFY, OP_IF, OP_ROT, OP_3DUP, OP_SIZE, OP_EQUAL, OP_ADD, OP_SUB,
@@ -894,11 +904,10 @@ BOOST_AUTO_TEST_CASE(test_IsStandard)
// replace current push-op with each non-push-op
for (auto op : non_push_ops) {
t.vin[0].scriptSig[index] = op;
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "scriptsig-not-pushonly");
+ CheckIsNotStandard(t, "scriptsig-not-pushonly");
}
t.vin[0].scriptSig[index] = orig_op; // restore op
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
}
// Check tx-size (non-standard if transaction weight is > MAX_STANDARD_TX_WEIGHT)
@@ -911,27 +920,47 @@ BOOST_AUTO_TEST_CASE(test_IsStandard)
// ===============================
// total: 400000 vbytes
BOOST_CHECK_EQUAL(GetTransactionWeight(CTransaction(t)), 400000);
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
// increase output size by one byte, so we end up with 400004 vbytes
t.vout[0].scriptPubKey = CScript() << OP_RETURN << std::vector<unsigned char>(20, 0); // output size: 31 bytes
BOOST_CHECK_EQUAL(GetTransactionWeight(CTransaction(t)), 400004);
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "tx-size");
+ CheckIsNotStandard(t, "tx-size");
// Check bare multisig (standard if policy flag fIsBareMultisigStd is set)
fIsBareMultisigStd = true;
t.vout[0].scriptPubKey = GetScriptForMultisig(1, {key.GetPubKey()}); // simple 1-of-1
t.vin.resize(1);
t.vin[0].scriptSig = CScript() << std::vector<unsigned char>(65, 0);
- BOOST_CHECK(IsStandardTx(CTransaction(t), reason));
+ CheckIsStandard(t);
fIsBareMultisigStd = false;
- reason.clear();
- BOOST_CHECK(!IsStandardTx(CTransaction(t), reason));
- BOOST_CHECK_EQUAL(reason, "bare-multisig");
+ CheckIsNotStandard(t, "bare-multisig");
fIsBareMultisigStd = DEFAULT_PERMIT_BAREMULTISIG;
+
+ // Check P2WPKH outputs dust threshold
+ t.vout[0].scriptPubKey = CScript() << OP_0 << ParseHex("ffffffffffffffffffffffffffffffffffffffff");
+ t.vout[0].nValue = 294;
+ CheckIsStandard(t);
+ t.vout[0].nValue = 293;
+ CheckIsNotStandard(t, "dust");
+
+ // Check P2WSH outputs dust threshold
+ t.vout[0].scriptPubKey = CScript() << OP_0 << ParseHex("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff");
+ t.vout[0].nValue = 330;
+ CheckIsStandard(t);
+ t.vout[0].nValue = 329;
+ CheckIsNotStandard(t, "dust");
+
+ // Check future Witness Program versions dust threshold
+ for (int op = OP_2; op <= OP_16; op += 1) {
+ t.vout[0].scriptPubKey = CScript() << (opcodetype)op << ParseHex("ffff");
+ t.vout[0].nValue = 240;
+ CheckIsStandard(t);
+
+ t.vout[0].nValue = 239;
+ CheckIsNotStandard(t, "dust");
+ }
}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/txindex_tests.cpp b/src/test/txindex_tests.cpp
index 5fc172ee86..15213f826b 100644
--- a/src/test/txindex_tests.cpp
+++ b/src/test/txindex_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,6 +7,7 @@
#include <script/standard.h>
#include <test/util/setup_common.h>
#include <util/time.h>
+#include <validation.h>
#include <boost/test/unit_test.hpp>
@@ -27,7 +28,7 @@ BOOST_FIXTURE_TEST_CASE(txindex_initial_sync, TestChain100Setup)
// BlockUntilSyncedToCurrentChain should return false before txindex is started.
BOOST_CHECK(!txindex.BlockUntilSyncedToCurrentChain());
- txindex.Start();
+ BOOST_REQUIRE(txindex.Start(m_node.chainman->ActiveChainstate()));
// Allow tx index to catch up with the block index.
constexpr int64_t timeout_ms = 10 * 1000;
diff --git a/src/test/txpackage_tests.cpp b/src/test/txpackage_tests.cpp
new file mode 100644
index 0000000000..560efb6b42
--- /dev/null
+++ b/src/test/txpackage_tests.cpp
@@ -0,0 +1,562 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <consensus/validation.h>
+#include <key_io.h>
+#include <policy/packages.h>
+#include <policy/policy.h>
+#include <primitives/transaction.h>
+#include <script/script.h>
+#include <script/standard.h>
+#include <test/util/setup_common.h>
+#include <validation.h>
+
+#include <boost/test/unit_test.hpp>
+
+BOOST_AUTO_TEST_SUITE(txpackage_tests)
+
+// Create placeholder transactions that have no meaning.
+inline CTransactionRef create_placeholder_tx(size_t num_inputs, size_t num_outputs)
+{
+ CMutableTransaction mtx = CMutableTransaction();
+ mtx.vin.resize(num_inputs);
+ mtx.vout.resize(num_outputs);
+ auto random_script = CScript() << ToByteVector(InsecureRand256()) << ToByteVector(InsecureRand256());
+ for (size_t i{0}; i < num_inputs; ++i) {
+ mtx.vin[i].prevout.hash = InsecureRand256();
+ mtx.vin[i].prevout.n = 0;
+ mtx.vin[i].scriptSig = random_script;
+ }
+ for (size_t o{0}; o < num_outputs; ++o) {
+ mtx.vout[o].nValue = 1 * CENT;
+ mtx.vout[o].scriptPubKey = random_script;
+ }
+ return MakeTransactionRef(mtx);
+}
+
+BOOST_FIXTURE_TEST_CASE(package_sanitization_tests, TestChain100Setup)
+{
+ // Packages can't have more than 25 transactions.
+ Package package_too_many;
+ package_too_many.reserve(MAX_PACKAGE_COUNT + 1);
+ for (size_t i{0}; i < MAX_PACKAGE_COUNT + 1; ++i) {
+ package_too_many.emplace_back(create_placeholder_tx(1, 1));
+ }
+ PackageValidationState state_too_many;
+ BOOST_CHECK(!CheckPackage(package_too_many, state_too_many));
+ BOOST_CHECK_EQUAL(state_too_many.GetResult(), PackageValidationResult::PCKG_POLICY);
+ BOOST_CHECK_EQUAL(state_too_many.GetRejectReason(), "package-too-many-transactions");
+
+ // Packages can't have a total size of more than 101KvB.
+ CTransactionRef large_ptx = create_placeholder_tx(150, 150);
+ Package package_too_large;
+ auto size_large = GetVirtualTransactionSize(*large_ptx);
+ size_t total_size{0};
+ while (total_size <= MAX_PACKAGE_SIZE * 1000) {
+ package_too_large.push_back(large_ptx);
+ total_size += size_large;
+ }
+ BOOST_CHECK(package_too_large.size() <= MAX_PACKAGE_COUNT);
+ PackageValidationState state_too_large;
+ BOOST_CHECK(!CheckPackage(package_too_large, state_too_large));
+ BOOST_CHECK_EQUAL(state_too_large.GetResult(), PackageValidationResult::PCKG_POLICY);
+ BOOST_CHECK_EQUAL(state_too_large.GetRejectReason(), "package-too-large");
+}
+
+BOOST_FIXTURE_TEST_CASE(package_validation_tests, TestChain100Setup)
+{
+ LOCK(cs_main);
+ unsigned int initialPoolSize = m_node.mempool->size();
+
+ // Parent and Child Package
+ CKey parent_key;
+ parent_key.MakeNewKey(true);
+ CScript parent_locking_script = GetScriptForDestination(PKHash(parent_key.GetPubKey()));
+ auto mtx_parent = CreateValidMempoolTransaction(/*input_transaction=*/ m_coinbase_txns[0], /*input_vout=*/0,
+ /*input_height=*/ 0, /*input_signing_key=*/coinbaseKey,
+ /*output_destination=*/ parent_locking_script,
+ /*output_amount=*/ CAmount(49 * COIN), /*submit=*/false);
+ CTransactionRef tx_parent = MakeTransactionRef(mtx_parent);
+
+ CKey child_key;
+ child_key.MakeNewKey(true);
+ CScript child_locking_script = GetScriptForDestination(PKHash(child_key.GetPubKey()));
+ auto mtx_child = CreateValidMempoolTransaction(/*input_transaction=*/ tx_parent, /*input_vout=*/0,
+ /*input_height=*/ 101, /*input_signing_key=*/parent_key,
+ /*output_destination=*/child_locking_script,
+ /*output_amount=*/ CAmount(48 * COIN), /*submit=*/false);
+ CTransactionRef tx_child = MakeTransactionRef(mtx_child);
+ const auto result_parent_child = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool, {tx_parent, tx_child}, /*test_accept=*/true);
+ BOOST_CHECK_MESSAGE(result_parent_child.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << result_parent_child.m_state.GetRejectReason());
+ auto it_parent = result_parent_child.m_tx_results.find(tx_parent->GetWitnessHash());
+ auto it_child = result_parent_child.m_tx_results.find(tx_child->GetWitnessHash());
+ BOOST_CHECK(it_parent != result_parent_child.m_tx_results.end());
+ BOOST_CHECK_MESSAGE(it_parent->second.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << it_parent->second.m_state.GetRejectReason());
+ BOOST_CHECK(it_child != result_parent_child.m_tx_results.end());
+ BOOST_CHECK_MESSAGE(it_child->second.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << it_child->second.m_state.GetRejectReason());
+
+
+ // A single, giant transaction submitted through ProcessNewPackage fails on single tx policy.
+ CTransactionRef giant_ptx = create_placeholder_tx(999, 999);
+ BOOST_CHECK(GetVirtualTransactionSize(*giant_ptx) > MAX_PACKAGE_SIZE * 1000);
+ auto result_single_large = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool, {giant_ptx}, /*test_accept=*/true);
+ BOOST_CHECK(result_single_large.m_state.IsInvalid());
+ BOOST_CHECK_EQUAL(result_single_large.m_state.GetResult(), PackageValidationResult::PCKG_TX);
+ BOOST_CHECK_EQUAL(result_single_large.m_state.GetRejectReason(), "transaction failed");
+ auto it_giant_tx = result_single_large.m_tx_results.find(giant_ptx->GetWitnessHash());
+ BOOST_CHECK(it_giant_tx != result_single_large.m_tx_results.end());
+ BOOST_CHECK_EQUAL(it_giant_tx->second.m_state.GetRejectReason(), "tx-size");
+
+ // Check that mempool size hasn't changed.
+ BOOST_CHECK_EQUAL(m_node.mempool->size(), initialPoolSize);
+}
+
+BOOST_FIXTURE_TEST_CASE(noncontextual_package_tests, TestChain100Setup)
+{
+ // The signatures won't be verified so we can just use a placeholder
+ CKey placeholder_key;
+ placeholder_key.MakeNewKey(true);
+ CScript spk = GetScriptForDestination(PKHash(placeholder_key.GetPubKey()));
+ CKey placeholder_key_2;
+ placeholder_key_2.MakeNewKey(true);
+ CScript spk2 = GetScriptForDestination(PKHash(placeholder_key_2.GetPubKey()));
+
+ // Parent and Child Package
+ {
+ auto mtx_parent = CreateValidMempoolTransaction(m_coinbase_txns[0], 0, 0, coinbaseKey, spk,
+ CAmount(49 * COIN), /* submit */ false);
+ CTransactionRef tx_parent = MakeTransactionRef(mtx_parent);
+
+ auto mtx_child = CreateValidMempoolTransaction(tx_parent, 0, 101, placeholder_key, spk2,
+ CAmount(48 * COIN), /* submit */ false);
+ CTransactionRef tx_child = MakeTransactionRef(mtx_child);
+
+ PackageValidationState state;
+ BOOST_CHECK(CheckPackage({tx_parent, tx_child}, state));
+ BOOST_CHECK(!CheckPackage({tx_child, tx_parent}, state));
+ BOOST_CHECK_EQUAL(state.GetResult(), PackageValidationResult::PCKG_POLICY);
+ BOOST_CHECK_EQUAL(state.GetRejectReason(), "package-not-sorted");
+ BOOST_CHECK(IsChildWithParents({tx_parent, tx_child}));
+ }
+
+ // 24 Parents and 1 Child
+ {
+ Package package;
+ CMutableTransaction child;
+ for (int i{0}; i < 24; ++i) {
+ auto parent = MakeTransactionRef(CreateValidMempoolTransaction(m_coinbase_txns[i + 1],
+ 0, 0, coinbaseKey, spk, CAmount(48 * COIN), false));
+ package.emplace_back(parent);
+ child.vin.push_back(CTxIn(COutPoint(parent->GetHash(), 0)));
+ }
+ child.vout.push_back(CTxOut(47 * COIN, spk2));
+
+ // The child must be in the package.
+ BOOST_CHECK(!IsChildWithParents(package));
+
+ // The parents can be in any order.
+ FastRandomContext rng;
+ Shuffle(package.begin(), package.end(), rng);
+ package.push_back(MakeTransactionRef(child));
+
+ PackageValidationState state;
+ BOOST_CHECK(CheckPackage(package, state));
+ BOOST_CHECK(IsChildWithParents(package));
+
+ package.erase(package.begin());
+ BOOST_CHECK(IsChildWithParents(package));
+
+ // The package cannot have unrelated transactions.
+ package.insert(package.begin(), m_coinbase_txns[0]);
+ BOOST_CHECK(!IsChildWithParents(package));
+ }
+
+ // 2 Parents and 1 Child where one parent depends on the other.
+ {
+ CMutableTransaction mtx_parent;
+ mtx_parent.vin.push_back(CTxIn(COutPoint(m_coinbase_txns[0]->GetHash(), 0)));
+ mtx_parent.vout.push_back(CTxOut(20 * COIN, spk));
+ mtx_parent.vout.push_back(CTxOut(20 * COIN, spk2));
+ CTransactionRef tx_parent = MakeTransactionRef(mtx_parent);
+
+ CMutableTransaction mtx_parent_also_child;
+ mtx_parent_also_child.vin.push_back(CTxIn(COutPoint(tx_parent->GetHash(), 0)));
+ mtx_parent_also_child.vout.push_back(CTxOut(20 * COIN, spk));
+ CTransactionRef tx_parent_also_child = MakeTransactionRef(mtx_parent_also_child);
+
+ CMutableTransaction mtx_child;
+ mtx_child.vin.push_back(CTxIn(COutPoint(tx_parent->GetHash(), 1)));
+ mtx_child.vin.push_back(CTxIn(COutPoint(tx_parent_also_child->GetHash(), 0)));
+ mtx_child.vout.push_back(CTxOut(39 * COIN, spk));
+ CTransactionRef tx_child = MakeTransactionRef(mtx_child);
+
+ PackageValidationState state;
+ BOOST_CHECK(IsChildWithParents({tx_parent, tx_parent_also_child}));
+ BOOST_CHECK(IsChildWithParents({tx_parent, tx_child}));
+ BOOST_CHECK(IsChildWithParents({tx_parent, tx_parent_also_child, tx_child}));
+ // IsChildWithParents does not detect unsorted parents.
+ BOOST_CHECK(IsChildWithParents({tx_parent_also_child, tx_parent, tx_child}));
+ BOOST_CHECK(CheckPackage({tx_parent, tx_parent_also_child, tx_child}, state));
+ BOOST_CHECK(!CheckPackage({tx_parent_also_child, tx_parent, tx_child}, state));
+ BOOST_CHECK_EQUAL(state.GetResult(), PackageValidationResult::PCKG_POLICY);
+ BOOST_CHECK_EQUAL(state.GetRejectReason(), "package-not-sorted");
+ }
+}
+
+BOOST_FIXTURE_TEST_CASE(package_submission_tests, TestChain100Setup)
+{
+ LOCK(cs_main);
+ unsigned int expected_pool_size = m_node.mempool->size();
+ CKey parent_key;
+ parent_key.MakeNewKey(true);
+ CScript parent_locking_script = GetScriptForDestination(PKHash(parent_key.GetPubKey()));
+
+ // Unrelated transactions are not allowed in package submission.
+ Package package_unrelated;
+ for (size_t i{0}; i < 10; ++i) {
+ auto mtx = CreateValidMempoolTransaction(/* input_transaction */ m_coinbase_txns[i + 25], /* vout */ 0,
+ /* input_height */ 0, /* input_signing_key */ coinbaseKey,
+ /* output_destination */ parent_locking_script,
+ /* output_amount */ CAmount(49 * COIN), /* submit */ false);
+ package_unrelated.emplace_back(MakeTransactionRef(mtx));
+ }
+ auto result_unrelated_submit = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ package_unrelated, /* test_accept */ false);
+ BOOST_CHECK(result_unrelated_submit.m_state.IsInvalid());
+ BOOST_CHECK_EQUAL(result_unrelated_submit.m_state.GetResult(), PackageValidationResult::PCKG_POLICY);
+ BOOST_CHECK_EQUAL(result_unrelated_submit.m_state.GetRejectReason(), "package-not-child-with-parents");
+ BOOST_CHECK_EQUAL(m_node.mempool->size(), expected_pool_size);
+
+ // Parent and Child (and Grandchild) Package
+ Package package_parent_child;
+ Package package_3gen;
+ auto mtx_parent = CreateValidMempoolTransaction(/* input_transaction */ m_coinbase_txns[0], /* vout */ 0,
+ /* input_height */ 0, /* input_signing_key */ coinbaseKey,
+ /* output_destination */ parent_locking_script,
+ /* output_amount */ CAmount(49 * COIN), /* submit */ false);
+ CTransactionRef tx_parent = MakeTransactionRef(mtx_parent);
+ package_parent_child.push_back(tx_parent);
+ package_3gen.push_back(tx_parent);
+
+ CKey child_key;
+ child_key.MakeNewKey(true);
+ CScript child_locking_script = GetScriptForDestination(PKHash(child_key.GetPubKey()));
+ auto mtx_child = CreateValidMempoolTransaction(/* input_transaction */ tx_parent, /* vout */ 0,
+ /* input_height */ 101, /* input_signing_key */ parent_key,
+ /* output_destination */ child_locking_script,
+ /* output_amount */ CAmount(48 * COIN), /* submit */ false);
+ CTransactionRef tx_child = MakeTransactionRef(mtx_child);
+ package_parent_child.push_back(tx_child);
+ package_3gen.push_back(tx_child);
+
+ CKey grandchild_key;
+ grandchild_key.MakeNewKey(true);
+ CScript grandchild_locking_script = GetScriptForDestination(PKHash(grandchild_key.GetPubKey()));
+ auto mtx_grandchild = CreateValidMempoolTransaction(/* input_transaction */ tx_child, /* vout */ 0,
+ /* input_height */ 101, /* input_signing_key */ child_key,
+ /* output_destination */ grandchild_locking_script,
+ /* output_amount */ CAmount(47 * COIN), /* submit */ false);
+ CTransactionRef tx_grandchild = MakeTransactionRef(mtx_grandchild);
+ package_3gen.push_back(tx_grandchild);
+
+ // 3 Generations is not allowed.
+ {
+ auto result_3gen_submit = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ package_3gen, /* test_accept */ false);
+ BOOST_CHECK(result_3gen_submit.m_state.IsInvalid());
+ BOOST_CHECK_EQUAL(result_3gen_submit.m_state.GetResult(), PackageValidationResult::PCKG_POLICY);
+ BOOST_CHECK_EQUAL(result_3gen_submit.m_state.GetRejectReason(), "package-not-child-with-parents");
+ BOOST_CHECK_EQUAL(m_node.mempool->size(), expected_pool_size);
+ }
+
+ // Child with missing parent.
+ mtx_child.vin.push_back(CTxIn(COutPoint(package_unrelated[0]->GetHash(), 0)));
+ Package package_missing_parent;
+ package_missing_parent.push_back(tx_parent);
+ package_missing_parent.push_back(MakeTransactionRef(mtx_child));
+ {
+ const auto result_missing_parent = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ package_missing_parent, /* test_accept */ false);
+ BOOST_CHECK(result_missing_parent.m_state.IsInvalid());
+ BOOST_CHECK_EQUAL(result_missing_parent.m_state.GetResult(), PackageValidationResult::PCKG_POLICY);
+ BOOST_CHECK_EQUAL(result_missing_parent.m_state.GetRejectReason(), "package-not-child-with-unconfirmed-parents");
+ BOOST_CHECK_EQUAL(m_node.mempool->size(), expected_pool_size);
+
+ }
+
+ // Submit package with parent + child.
+ {
+ const auto submit_parent_child = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ package_parent_child, /* test_accept */ false);
+ expected_pool_size += 2;
+ BOOST_CHECK_MESSAGE(submit_parent_child.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << submit_parent_child.m_state.GetRejectReason());
+ auto it_parent = submit_parent_child.m_tx_results.find(tx_parent->GetWitnessHash());
+ auto it_child = submit_parent_child.m_tx_results.find(tx_child->GetWitnessHash());
+ BOOST_CHECK(it_parent != submit_parent_child.m_tx_results.end());
+ BOOST_CHECK(it_parent->second.m_state.IsValid());
+ BOOST_CHECK(it_child != submit_parent_child.m_tx_results.end());
+ BOOST_CHECK(it_child->second.m_state.IsValid());
+
+ BOOST_CHECK_EQUAL(m_node.mempool->size(), expected_pool_size);
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(tx_parent->GetHash())));
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(tx_child->GetHash())));
+ }
+
+ // Already-in-mempool transactions should be detected and de-duplicated.
+ {
+ const auto submit_deduped = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ package_parent_child, /* test_accept */ false);
+ BOOST_CHECK_MESSAGE(submit_deduped.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << submit_deduped.m_state.GetRejectReason());
+ auto it_parent_deduped = submit_deduped.m_tx_results.find(tx_parent->GetWitnessHash());
+ auto it_child_deduped = submit_deduped.m_tx_results.find(tx_child->GetWitnessHash());
+ BOOST_CHECK(it_parent_deduped != submit_deduped.m_tx_results.end());
+ BOOST_CHECK(it_parent_deduped->second.m_state.IsValid());
+ BOOST_CHECK(it_parent_deduped->second.m_result_type == MempoolAcceptResult::ResultType::MEMPOOL_ENTRY);
+ BOOST_CHECK(it_child_deduped != submit_deduped.m_tx_results.end());
+ BOOST_CHECK(it_child_deduped->second.m_state.IsValid());
+ BOOST_CHECK(it_child_deduped->second.m_result_type == MempoolAcceptResult::ResultType::MEMPOOL_ENTRY);
+
+ BOOST_CHECK_EQUAL(m_node.mempool->size(), expected_pool_size);
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(tx_parent->GetHash())));
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(tx_child->GetHash())));
+ }
+}
+
+// Tests for packages containing transactions that have same-txid-different-witness equivalents in
+// the mempool.
+BOOST_FIXTURE_TEST_CASE(package_witness_swap_tests, TestChain100Setup)
+{
+ // Mine blocks to mature coinbases.
+ mineBlocks(5);
+ LOCK(cs_main);
+
+ // Transactions with a same-txid-different-witness transaction in the mempool should be ignored,
+ // and the mempool entry's wtxid returned.
+ CScript witnessScript = CScript() << OP_DROP << OP_TRUE;
+ CScript scriptPubKey = GetScriptForDestination(WitnessV0ScriptHash(witnessScript));
+ auto mtx_parent = CreateValidMempoolTransaction(/*input_transaction=*/ m_coinbase_txns[0], /*vout=*/ 0,
+ /*input_height=*/ 0, /*input_signing_key=*/ coinbaseKey,
+ /*output_destination=*/ scriptPubKey,
+ /*output_amount=*/ CAmount(49 * COIN), /*submit=*/ false);
+ CTransactionRef ptx_parent = MakeTransactionRef(mtx_parent);
+
+ // Make two children with the same txid but different witnesses.
+ CScriptWitness witness1;
+ witness1.stack.push_back(std::vector<unsigned char>(1));
+ witness1.stack.push_back(std::vector<unsigned char>(witnessScript.begin(), witnessScript.end()));
+
+ CScriptWitness witness2(witness1);
+ witness2.stack.push_back(std::vector<unsigned char>(2));
+ witness2.stack.push_back(std::vector<unsigned char>(witnessScript.begin(), witnessScript.end()));
+
+ CKey child_key;
+ child_key.MakeNewKey(true);
+ CScript child_locking_script = GetScriptForDestination(WitnessV0KeyHash(child_key.GetPubKey()));
+ CMutableTransaction mtx_child1;
+ mtx_child1.nVersion = 1;
+ mtx_child1.vin.resize(1);
+ mtx_child1.vin[0].prevout.hash = ptx_parent->GetHash();
+ mtx_child1.vin[0].prevout.n = 0;
+ mtx_child1.vin[0].scriptSig = CScript();
+ mtx_child1.vin[0].scriptWitness = witness1;
+ mtx_child1.vout.resize(1);
+ mtx_child1.vout[0].nValue = CAmount(48 * COIN);
+ mtx_child1.vout[0].scriptPubKey = child_locking_script;
+
+ CMutableTransaction mtx_child2{mtx_child1};
+ mtx_child2.vin[0].scriptWitness = witness2;
+
+ CTransactionRef ptx_child1 = MakeTransactionRef(mtx_child1);
+ CTransactionRef ptx_child2 = MakeTransactionRef(mtx_child2);
+
+ // child1 and child2 have the same txid
+ BOOST_CHECK_EQUAL(ptx_child1->GetHash(), ptx_child2->GetHash());
+ // child1 and child2 have different wtxids
+ BOOST_CHECK(ptx_child1->GetWitnessHash() != ptx_child2->GetWitnessHash());
+
+ // Try submitting Package1{parent, child1} and Package2{parent, child2} where the children are
+ // same-txid-different-witness.
+ {
+ const auto submit_witness1 = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ {ptx_parent, ptx_child1}, /*test_accept=*/ false);
+ BOOST_CHECK_MESSAGE(submit_witness1.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << submit_witness1.m_state.GetRejectReason());
+ auto it_parent1 = submit_witness1.m_tx_results.find(ptx_parent->GetWitnessHash());
+ auto it_child1 = submit_witness1.m_tx_results.find(ptx_child1->GetWitnessHash());
+ BOOST_CHECK(it_parent1 != submit_witness1.m_tx_results.end());
+ BOOST_CHECK_MESSAGE(it_parent1->second.m_state.IsValid(),
+ "Transaction unexpectedly failed: " << it_parent1->second.m_state.GetRejectReason());
+ BOOST_CHECK(it_child1 != submit_witness1.m_tx_results.end());
+ BOOST_CHECK_MESSAGE(it_child1->second.m_state.IsValid(),
+ "Transaction unexpectedly failed: " << it_child1->second.m_state.GetRejectReason());
+
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_parent->GetHash())));
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_child1->GetHash())));
+
+ const auto submit_witness2 = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ {ptx_parent, ptx_child2}, /*test_accept=*/ false);
+ BOOST_CHECK_MESSAGE(submit_witness2.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << submit_witness2.m_state.GetRejectReason());
+ auto it_parent2_deduped = submit_witness2.m_tx_results.find(ptx_parent->GetWitnessHash());
+ auto it_child2 = submit_witness2.m_tx_results.find(ptx_child2->GetWitnessHash());
+ BOOST_CHECK(it_parent2_deduped != submit_witness2.m_tx_results.end());
+ BOOST_CHECK(it_parent2_deduped->second.m_result_type == MempoolAcceptResult::ResultType::MEMPOOL_ENTRY);
+ BOOST_CHECK(it_child2 != submit_witness2.m_tx_results.end());
+ BOOST_CHECK(it_child2->second.m_result_type == MempoolAcceptResult::ResultType::DIFFERENT_WITNESS);
+ BOOST_CHECK_EQUAL(ptx_child1->GetWitnessHash(), it_child2->second.m_other_wtxid.value());
+
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_child2->GetHash())));
+ BOOST_CHECK(!m_node.mempool->exists(GenTxid::Wtxid(ptx_child2->GetWitnessHash())));
+ }
+
+ // Try submitting Package1{child2, grandchild} where child2 is same-txid-different-witness as
+ // the in-mempool transaction, child1. Since child1 exists in the mempool and its outputs are
+ // available, child2 should be ignored and grandchild should be accepted.
+ //
+ // This tests a potential censorship vector in which an attacker broadcasts a competing package
+ // where a parent's witness is mutated. The honest package should be accepted despite the fact
+ // that we don't allow witness replacement.
+ CKey grandchild_key;
+ grandchild_key.MakeNewKey(true);
+ CScript grandchild_locking_script = GetScriptForDestination(WitnessV0KeyHash(grandchild_key.GetPubKey()));
+ auto mtx_grandchild = CreateValidMempoolTransaction(/*input_transaction=*/ ptx_child2, /* vout=*/ 0,
+ /*input_height=*/ 0, /*input_signing_key=*/ child_key,
+ /*output_destination=*/ grandchild_locking_script,
+ /*output_amount=*/ CAmount(47 * COIN), /*submit=*/ false);
+ CTransactionRef ptx_grandchild = MakeTransactionRef(mtx_grandchild);
+
+ // We already submitted child1 above.
+ {
+ const auto submit_spend_ignored = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool,
+ {ptx_child2, ptx_grandchild}, /*test_accept=*/ false);
+ BOOST_CHECK_MESSAGE(submit_spend_ignored.m_state.IsValid(),
+ "Package validation unexpectedly failed: " << submit_spend_ignored.m_state.GetRejectReason());
+ auto it_child2_ignored = submit_spend_ignored.m_tx_results.find(ptx_child2->GetWitnessHash());
+ auto it_grandchild = submit_spend_ignored.m_tx_results.find(ptx_grandchild->GetWitnessHash());
+ BOOST_CHECK(it_child2_ignored != submit_spend_ignored.m_tx_results.end());
+ BOOST_CHECK(it_child2_ignored->second.m_result_type == MempoolAcceptResult::ResultType::DIFFERENT_WITNESS);
+ BOOST_CHECK(it_grandchild != submit_spend_ignored.m_tx_results.end());
+ BOOST_CHECK(it_grandchild->second.m_result_type == MempoolAcceptResult::ResultType::VALID);
+
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_child2->GetHash())));
+ BOOST_CHECK(!m_node.mempool->exists(GenTxid::Wtxid(ptx_child2->GetWitnessHash())));
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Wtxid(ptx_grandchild->GetWitnessHash())));
+ }
+
+ // A package Package{parent1, parent2, parent3, child} where the parents are a mixture of
+ // identical-tx-in-mempool, same-txid-different-witness-in-mempool, and new transactions.
+ Package package_mixed;
+
+ // Give all the parents anyone-can-spend scripts so we don't have to deal with signing the child.
+ CScript acs_script = CScript() << OP_TRUE;
+ CScript acs_spk = GetScriptForDestination(WitnessV0ScriptHash(acs_script));
+ CScriptWitness acs_witness;
+ acs_witness.stack.push_back(std::vector<unsigned char>(acs_script.begin(), acs_script.end()));
+
+ // parent1 will already be in the mempool
+ auto mtx_parent1 = CreateValidMempoolTransaction(/*input_transaction=*/ m_coinbase_txns[1], /*vout=*/ 0,
+ /*input_height=*/ 0, /*input_signing_key=*/ coinbaseKey,
+ /*output_destination=*/ acs_spk,
+ /*output_amount=*/ CAmount(49 * COIN), /*submit=*/ true);
+ CTransactionRef ptx_parent1 = MakeTransactionRef(mtx_parent1);
+ package_mixed.push_back(ptx_parent1);
+
+ // parent2 will have a same-txid-different-witness tx already in the mempool
+ CScript grandparent2_script = CScript() << OP_DROP << OP_TRUE;
+ CScript grandparent2_spk = GetScriptForDestination(WitnessV0ScriptHash(grandparent2_script));
+ CScriptWitness parent2_witness1;
+ parent2_witness1.stack.push_back(std::vector<unsigned char>(1));
+ parent2_witness1.stack.push_back(std::vector<unsigned char>(grandparent2_script.begin(), grandparent2_script.end()));
+ CScriptWitness parent2_witness2;
+ parent2_witness2.stack.push_back(std::vector<unsigned char>(2));
+ parent2_witness2.stack.push_back(std::vector<unsigned char>(grandparent2_script.begin(), grandparent2_script.end()));
+
+ // Create grandparent2 creating an output with multiple spending paths. Submit to mempool.
+ auto mtx_grandparent2 = CreateValidMempoolTransaction(/*input_transaction=*/ m_coinbase_txns[2], /* vout=*/ 0,
+ /*input_height=*/ 0, /*input_signing_key=*/ coinbaseKey,
+ /*output_destination=*/ grandparent2_spk,
+ /*output_amount=*/ CAmount(49 * COIN), /*submit=*/ true);
+ CTransactionRef ptx_grandparent2 = MakeTransactionRef(mtx_grandparent2);
+
+ CMutableTransaction mtx_parent2_v1;
+ mtx_parent2_v1.nVersion = 1;
+ mtx_parent2_v1.vin.resize(1);
+ mtx_parent2_v1.vin[0].prevout.hash = ptx_grandparent2->GetHash();
+ mtx_parent2_v1.vin[0].prevout.n = 0;
+ mtx_parent2_v1.vin[0].scriptSig = CScript();
+ mtx_parent2_v1.vin[0].scriptWitness = parent2_witness1;
+ mtx_parent2_v1.vout.resize(1);
+ mtx_parent2_v1.vout[0].nValue = CAmount(48 * COIN);
+ mtx_parent2_v1.vout[0].scriptPubKey = acs_spk;
+
+ CMutableTransaction mtx_parent2_v2{mtx_parent2_v1};
+ mtx_parent2_v2.vin[0].scriptWitness = parent2_witness2;
+
+ CTransactionRef ptx_parent2_v1 = MakeTransactionRef(mtx_parent2_v1);
+ CTransactionRef ptx_parent2_v2 = MakeTransactionRef(mtx_parent2_v2);
+ // Put parent2_v1 in the package, submit parent2_v2 to the mempool.
+ const MempoolAcceptResult parent2_v2_result = m_node.chainman->ProcessTransaction(ptx_parent2_v2);
+ BOOST_CHECK(parent2_v2_result.m_result_type == MempoolAcceptResult::ResultType::VALID);
+ package_mixed.push_back(ptx_parent2_v1);
+
+ // parent3 will be a new transaction
+ auto mtx_parent3 = CreateValidMempoolTransaction(/*input_transaction=*/ m_coinbase_txns[3], /*vout=*/ 0,
+ /*input_height=*/ 0, /*input_signing_key=*/ coinbaseKey,
+ /*output_destination=*/ acs_spk,
+ /*output_amount=*/ CAmount(49 * COIN), /*submit=*/ false);
+ CTransactionRef ptx_parent3 = MakeTransactionRef(mtx_parent3);
+ package_mixed.push_back(ptx_parent3);
+
+ // child spends parent1, parent2, and parent3
+ CKey mixed_grandchild_key;
+ mixed_grandchild_key.MakeNewKey(true);
+ CScript mixed_child_spk = GetScriptForDestination(WitnessV0KeyHash(mixed_grandchild_key.GetPubKey()));
+
+ CMutableTransaction mtx_mixed_child;
+ mtx_mixed_child.vin.push_back(CTxIn(COutPoint(ptx_parent1->GetHash(), 0)));
+ mtx_mixed_child.vin.push_back(CTxIn(COutPoint(ptx_parent2_v1->GetHash(), 0)));
+ mtx_mixed_child.vin.push_back(CTxIn(COutPoint(ptx_parent3->GetHash(), 0)));
+ mtx_mixed_child.vin[0].scriptWitness = acs_witness;
+ mtx_mixed_child.vin[1].scriptWitness = acs_witness;
+ mtx_mixed_child.vin[2].scriptWitness = acs_witness;
+ mtx_mixed_child.vout.push_back(CTxOut(145 * COIN, mixed_child_spk));
+ CTransactionRef ptx_mixed_child = MakeTransactionRef(mtx_mixed_child);
+ package_mixed.push_back(ptx_mixed_child);
+
+ // Submit package:
+ // parent1 should be ignored
+ // parent2_v1 should be ignored (and v2 wtxid returned)
+ // parent3 should be accepted
+ // child should be accepted
+ {
+ const auto mixed_result = ProcessNewPackage(m_node.chainman->ActiveChainstate(), *m_node.mempool, package_mixed, false);
+ BOOST_CHECK_MESSAGE(mixed_result.m_state.IsValid(), mixed_result.m_state.GetRejectReason());
+ auto it_parent1 = mixed_result.m_tx_results.find(ptx_parent1->GetWitnessHash());
+ auto it_parent2 = mixed_result.m_tx_results.find(ptx_parent2_v1->GetWitnessHash());
+ auto it_parent3 = mixed_result.m_tx_results.find(ptx_parent3->GetWitnessHash());
+ auto it_child = mixed_result.m_tx_results.find(ptx_mixed_child->GetWitnessHash());
+ BOOST_CHECK(it_parent1 != mixed_result.m_tx_results.end());
+ BOOST_CHECK(it_parent2 != mixed_result.m_tx_results.end());
+ BOOST_CHECK(it_parent3 != mixed_result.m_tx_results.end());
+ BOOST_CHECK(it_child != mixed_result.m_tx_results.end());
+
+ BOOST_CHECK(it_parent1->second.m_result_type == MempoolAcceptResult::ResultType::MEMPOOL_ENTRY);
+ BOOST_CHECK(it_parent2->second.m_result_type == MempoolAcceptResult::ResultType::DIFFERENT_WITNESS);
+ BOOST_CHECK(it_parent3->second.m_result_type == MempoolAcceptResult::ResultType::VALID);
+ BOOST_CHECK(it_child->second.m_result_type == MempoolAcceptResult::ResultType::VALID);
+ BOOST_CHECK_EQUAL(ptx_parent2_v2->GetWitnessHash(), it_parent2->second.m_other_wtxid.value());
+
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_parent1->GetHash())));
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_parent2_v1->GetHash())));
+ BOOST_CHECK(!m_node.mempool->exists(GenTxid::Wtxid(ptx_parent2_v1->GetWitnessHash())));
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_parent3->GetHash())));
+ BOOST_CHECK(m_node.mempool->exists(GenTxid::Txid(ptx_mixed_child->GetHash())));
+ }
+}
+BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/txrequest_tests.cpp b/src/test/txrequest_tests.cpp
index 1d137b03b1..a4ed1e8b3a 100644
--- a/src/test/txrequest_tests.cpp
+++ b/src/test/txrequest_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -221,7 +221,7 @@ public:
/** Generate a random GenTxid; the txhash follows NewTxHash; the is_wtxid flag is random. */
GenTxid NewGTxid(const std::vector<std::vector<NodeId>>& orders = {})
{
- return {InsecureRandBool(), NewTxHash(orders)};
+ return InsecureRandBool() ? GenTxid::Wtxid(NewTxHash(orders)) : GenTxid::Txid(NewTxHash(orders));
}
/** Generate a new random NodeId to use as peer. The same NodeId is never returned twice
@@ -494,8 +494,8 @@ void BuildWtxidTest(Scenario& scenario, int config)
auto peerT = scenario.NewPeer();
auto peerW = scenario.NewPeer();
auto txhash = scenario.NewTxHash();
- GenTxid txid{false, txhash};
- GenTxid wtxid{true, txhash};
+ auto txid{GenTxid::Txid(txhash)};
+ auto wtxid{GenTxid::Wtxid(txhash)};
auto reqtimeT = InsecureRandBool() ? MIN_TIME : scenario.Now() + RandomTime8s();
auto reqtimeW = InsecureRandBool() ? MIN_TIME : scenario.Now() + RandomTime8s();
diff --git a/src/test/txvalidation_tests.cpp b/src/test/txvalidation_tests.cpp
index 8d14071297..f06bef3589 100644
--- a/src/test/txvalidation_tests.cpp
+++ b/src/test/txvalidation_tests.cpp
@@ -1,10 +1,14 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <consensus/validation.h>
+#include <key_io.h>
+#include <policy/packages.h>
+#include <policy/policy.h>
#include <primitives/transaction.h>
#include <script/script.h>
+#include <script/standard.h>
#include <test/util/setup_common.h>
#include <validation.h>
@@ -33,8 +37,7 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_reject_coinbase, TestChain100Setup)
LOCK(cs_main);
unsigned int initialPoolSize = m_node.mempool->size();
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), *m_node.mempool, MakeTransactionRef(coinbaseTx),
- true /* bypass_limits */);
+ const MempoolAcceptResult result = m_node.chainman->ProcessTransaction(MakeTransactionRef(coinbaseTx));
BOOST_CHECK(result.m_result_type == MempoolAcceptResult::ResultType::INVALID);
@@ -46,5 +49,4 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_reject_coinbase, TestChain100Setup)
BOOST_CHECK_EQUAL(result.m_state.GetRejectReason(), "coinbase");
BOOST_CHECK(result.m_state.GetResult() == TxValidationResult::TX_CONSENSUS);
}
-
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/txvalidationcache_tests.cpp b/src/test/txvalidationcache_tests.cpp
index 3244b58082..b1e2119c64 100644
--- a/src/test/txvalidationcache_tests.cpp
+++ b/src/test/txvalidationcache_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,6 +13,11 @@
#include <boost/test/unit_test.hpp>
+struct Dersig100Setup : public TestChain100Setup {
+ Dersig100Setup()
+ : TestChain100Setup{{"-testactivationheight=dersig@102"}} {}
+};
+
bool CheckInputScripts(const CTransaction& tx, TxValidationState& state,
const CCoinsViewCache& inputs, unsigned int flags, bool cacheSigStore,
bool cacheFullScriptStore, PrecomputedTransactionData& txdata,
@@ -20,7 +25,7 @@ bool CheckInputScripts(const CTransaction& tx, TxValidationState& state,
BOOST_AUTO_TEST_SUITE(txvalidationcache_tests)
-BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, TestChain100Setup)
+BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, Dersig100Setup)
{
// Make sure skipping validation of transactions that were
// validated going into the memory pool does not allow
@@ -31,8 +36,7 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, TestChain100Setup)
const auto ToMemPool = [this](const CMutableTransaction& tx) {
LOCK(cs_main);
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), *m_node.mempool, MakeTransactionRef(tx),
- true /* bypass_limits */);
+ const MempoolAcceptResult result = m_node.chainman->ProcessTransaction(MakeTransactionRef(tx));
return result.m_result_type == MempoolAcceptResult::ResultType::VALID;
};
@@ -63,7 +67,7 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, TestChain100Setup)
block = CreateAndProcessBlock(spends, scriptPubKey);
{
LOCK(cs_main);
- BOOST_CHECK(::ChainActive().Tip()->GetBlockHash() != block.GetHash());
+ BOOST_CHECK(m_node.chainman->ActiveChain().Tip()->GetBlockHash() != block.GetHash());
}
// Test 2: ... and should be rejected if spend1 is in the memory pool
@@ -71,7 +75,7 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, TestChain100Setup)
block = CreateAndProcessBlock(spends, scriptPubKey);
{
LOCK(cs_main);
- BOOST_CHECK(::ChainActive().Tip()->GetBlockHash() != block.GetHash());
+ BOOST_CHECK(m_node.chainman->ActiveChain().Tip()->GetBlockHash() != block.GetHash());
}
m_node.mempool->clear();
@@ -80,7 +84,7 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, TestChain100Setup)
block = CreateAndProcessBlock(spends, scriptPubKey);
{
LOCK(cs_main);
- BOOST_CHECK(::ChainActive().Tip()->GetBlockHash() != block.GetHash());
+ BOOST_CHECK(m_node.chainman->ActiveChain().Tip()->GetBlockHash() != block.GetHash());
}
m_node.mempool->clear();
@@ -91,7 +95,7 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, TestChain100Setup)
block = CreateAndProcessBlock(oneSpend, scriptPubKey);
{
LOCK(cs_main);
- BOOST_CHECK(::ChainActive().Tip()->GetBlockHash() == block.GetHash());
+ BOOST_CHECK(m_node.chainman->ActiveChain().Tip()->GetBlockHash() == block.GetHash());
}
// spends[1] should have been removed from the mempool when the
// block with spends[0] is accepted:
@@ -109,13 +113,18 @@ BOOST_FIXTURE_TEST_CASE(tx_mempool_block_doublespend, TestChain100Setup)
// should fail.
// Capture this interaction with the upgraded_nop argument: set it when evaluating
// any script flag that is implemented as an upgraded NOP code.
-static void ValidateCheckInputsForAllFlags(const CTransaction &tx, uint32_t failing_flags, bool add_to_cache) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+static void ValidateCheckInputsForAllFlags(const CTransaction &tx, uint32_t failing_flags, bool add_to_cache, CCoinsViewCache& active_coins_tip) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
{
PrecomputedTransactionData txdata;
- // If we add many more flags, this loop can get too expensive, but we can
- // rewrite in the future to randomly pick a set of flags to evaluate.
- for (uint32_t test_flags=0; test_flags < (1U << 16); test_flags += 1) {
+
+ FastRandomContext insecure_rand(true);
+
+ for (int count = 0; count < 10000; ++count) {
TxValidationState state;
+
+ // Randomly selects flag combinations
+ uint32_t test_flags = (uint32_t) insecure_rand.randrange((SCRIPT_VERIFY_END_MARKER - 1) << 1);
+
// Filter out incompatible flag choices
if ((test_flags & SCRIPT_VERIFY_CLEANSTACK)) {
// CLEANSTACK requires P2SH and WITNESS, see VerifyScript() in
@@ -126,7 +135,7 @@ static void ValidateCheckInputsForAllFlags(const CTransaction &tx, uint32_t fail
// WITNESS requires P2SH
test_flags |= SCRIPT_VERIFY_P2SH;
}
- bool ret = CheckInputScripts(tx, state, &::ChainstateActive().CoinsTip(), test_flags, true, add_to_cache, txdata, nullptr);
+ bool ret = CheckInputScripts(tx, state, &active_coins_tip, test_flags, true, add_to_cache, txdata, nullptr);
// CheckInputScripts should succeed iff test_flags doesn't intersect with
// failing_flags
bool expected_return_value = !(test_flags & failing_flags);
@@ -136,19 +145,19 @@ static void ValidateCheckInputsForAllFlags(const CTransaction &tx, uint32_t fail
if (ret && add_to_cache) {
// Check that we get a cache hit if the tx was valid
std::vector<CScriptCheck> scriptchecks;
- BOOST_CHECK(CheckInputScripts(tx, state, &::ChainstateActive().CoinsTip(), test_flags, true, add_to_cache, txdata, &scriptchecks));
+ BOOST_CHECK(CheckInputScripts(tx, state, &active_coins_tip, test_flags, true, add_to_cache, txdata, &scriptchecks));
BOOST_CHECK(scriptchecks.empty());
} else {
// Check that we get script executions to check, if the transaction
// was invalid, or we didn't add to cache.
std::vector<CScriptCheck> scriptchecks;
- BOOST_CHECK(CheckInputScripts(tx, state, &::ChainstateActive().CoinsTip(), test_flags, true, add_to_cache, txdata, &scriptchecks));
+ BOOST_CHECK(CheckInputScripts(tx, state, &active_coins_tip, test_flags, true, add_to_cache, txdata, &scriptchecks));
BOOST_CHECK_EQUAL(scriptchecks.size(), tx.vin.size());
}
}
}
-BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
+BOOST_FIXTURE_TEST_CASE(checkinputs_test, Dersig100Setup)
{
// Test that passing CheckInputScripts with one set of script flags doesn't imply
// that we would pass again with a different set of flags.
@@ -205,20 +214,20 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
TxValidationState state;
PrecomputedTransactionData ptd_spend_tx;
- BOOST_CHECK(!CheckInputScripts(CTransaction(spend_tx), state, &::ChainstateActive().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_DERSIG, true, true, ptd_spend_tx, nullptr));
+ BOOST_CHECK(!CheckInputScripts(CTransaction(spend_tx), state, &m_node.chainman->ActiveChainstate().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_DERSIG, true, true, ptd_spend_tx, nullptr));
// If we call again asking for scriptchecks (as happens in
// ConnectBlock), we should add a script check object for this -- we're
// not caching invalidity (if that changes, delete this test case).
std::vector<CScriptCheck> scriptchecks;
- BOOST_CHECK(CheckInputScripts(CTransaction(spend_tx), state, &::ChainstateActive().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_DERSIG, true, true, ptd_spend_tx, &scriptchecks));
+ BOOST_CHECK(CheckInputScripts(CTransaction(spend_tx), state, &m_node.chainman->ActiveChainstate().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_DERSIG, true, true, ptd_spend_tx, &scriptchecks));
BOOST_CHECK_EQUAL(scriptchecks.size(), 1U);
// Test that CheckInputScripts returns true iff DERSIG-enforcing flags are
// not present. Don't add these checks to the cache, so that we can
// test later that block validation works fine in the absence of cached
// successes.
- ValidateCheckInputsForAllFlags(CTransaction(spend_tx), SCRIPT_VERIFY_DERSIG | SCRIPT_VERIFY_LOW_S | SCRIPT_VERIFY_STRICTENC, false);
+ ValidateCheckInputsForAllFlags(CTransaction(spend_tx), SCRIPT_VERIFY_DERSIG | SCRIPT_VERIFY_LOW_S | SCRIPT_VERIFY_STRICTENC, false, m_node.chainman->ActiveChainstate().CoinsTip());
}
// And if we produce a block with this tx, it should be valid (DERSIG not
@@ -227,8 +236,8 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
block = CreateAndProcessBlock({spend_tx}, p2pk_scriptPubKey);
LOCK(cs_main);
- BOOST_CHECK(::ChainActive().Tip()->GetBlockHash() == block.GetHash());
- BOOST_CHECK(::ChainstateActive().CoinsTip().GetBestBlock() == block.GetHash());
+ BOOST_CHECK(m_node.chainman->ActiveChain().Tip()->GetBlockHash() == block.GetHash());
+ BOOST_CHECK(m_node.chainman->ActiveChainstate().CoinsTip().GetBestBlock() == block.GetHash());
// Test P2SH: construct a transaction that is valid without P2SH, and
// then test validity with P2SH.
@@ -244,7 +253,7 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
std::vector<unsigned char> vchSig2(p2pk_scriptPubKey.begin(), p2pk_scriptPubKey.end());
invalid_under_p2sh_tx.vin[0].scriptSig << vchSig2;
- ValidateCheckInputsForAllFlags(CTransaction(invalid_under_p2sh_tx), SCRIPT_VERIFY_P2SH, true);
+ ValidateCheckInputsForAllFlags(CTransaction(invalid_under_p2sh_tx), SCRIPT_VERIFY_P2SH, true, m_node.chainman->ActiveChainstate().CoinsTip());
}
// Test CHECKLOCKTIMEVERIFY
@@ -267,13 +276,13 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
vchSig.push_back((unsigned char)SIGHASH_ALL);
invalid_with_cltv_tx.vin[0].scriptSig = CScript() << vchSig << 101;
- ValidateCheckInputsForAllFlags(CTransaction(invalid_with_cltv_tx), SCRIPT_VERIFY_CHECKLOCKTIMEVERIFY, true);
+ ValidateCheckInputsForAllFlags(CTransaction(invalid_with_cltv_tx), SCRIPT_VERIFY_CHECKLOCKTIMEVERIFY, true, m_node.chainman->ActiveChainstate().CoinsTip());
// Make it valid, and check again
invalid_with_cltv_tx.vin[0].scriptSig = CScript() << vchSig << 100;
TxValidationState state;
PrecomputedTransactionData txdata;
- BOOST_CHECK(CheckInputScripts(CTransaction(invalid_with_cltv_tx), state, ::ChainstateActive().CoinsTip(), SCRIPT_VERIFY_CHECKLOCKTIMEVERIFY, true, true, txdata, nullptr));
+ BOOST_CHECK(CheckInputScripts(CTransaction(invalid_with_cltv_tx), state, m_node.chainman->ActiveChainstate().CoinsTip(), SCRIPT_VERIFY_CHECKLOCKTIMEVERIFY, true, true, txdata, nullptr));
}
// TEST CHECKSEQUENCEVERIFY
@@ -295,13 +304,13 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
vchSig.push_back((unsigned char)SIGHASH_ALL);
invalid_with_csv_tx.vin[0].scriptSig = CScript() << vchSig << 101;
- ValidateCheckInputsForAllFlags(CTransaction(invalid_with_csv_tx), SCRIPT_VERIFY_CHECKSEQUENCEVERIFY, true);
+ ValidateCheckInputsForAllFlags(CTransaction(invalid_with_csv_tx), SCRIPT_VERIFY_CHECKSEQUENCEVERIFY, true, m_node.chainman->ActiveChainstate().CoinsTip());
// Make it valid, and check again
invalid_with_csv_tx.vin[0].scriptSig = CScript() << vchSig << 100;
TxValidationState state;
PrecomputedTransactionData txdata;
- BOOST_CHECK(CheckInputScripts(CTransaction(invalid_with_csv_tx), state, &::ChainstateActive().CoinsTip(), SCRIPT_VERIFY_CHECKSEQUENCEVERIFY, true, true, txdata, nullptr));
+ BOOST_CHECK(CheckInputScripts(CTransaction(invalid_with_csv_tx), state, &m_node.chainman->ActiveChainstate().CoinsTip(), SCRIPT_VERIFY_CHECKSEQUENCEVERIFY, true, true, txdata, nullptr));
}
// TODO: add tests for remaining script flags
@@ -324,11 +333,11 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
UpdateInput(valid_with_witness_tx.vin[0], sigdata);
// This should be valid under all script flags.
- ValidateCheckInputsForAllFlags(CTransaction(valid_with_witness_tx), 0, true);
+ ValidateCheckInputsForAllFlags(CTransaction(valid_with_witness_tx), 0, true, m_node.chainman->ActiveChainstate().CoinsTip());
// Remove the witness, and check that it is now invalid.
valid_with_witness_tx.vin[0].scriptWitness.SetNull();
- ValidateCheckInputsForAllFlags(CTransaction(valid_with_witness_tx), SCRIPT_VERIFY_WITNESS, true);
+ ValidateCheckInputsForAllFlags(CTransaction(valid_with_witness_tx), SCRIPT_VERIFY_WITNESS, true, m_node.chainman->ActiveChainstate().CoinsTip());
}
{
@@ -353,7 +362,7 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
}
// This should be valid under all script flags
- ValidateCheckInputsForAllFlags(CTransaction(tx), 0, true);
+ ValidateCheckInputsForAllFlags(CTransaction(tx), 0, true, m_node.chainman->ActiveChainstate().CoinsTip());
// Check that if the second input is invalid, but the first input is
// valid, the transaction is not cached.
@@ -363,12 +372,12 @@ BOOST_FIXTURE_TEST_CASE(checkinputs_test, TestChain100Setup)
TxValidationState state;
PrecomputedTransactionData txdata;
// This transaction is now invalid under segwit, because of the second input.
- BOOST_CHECK(!CheckInputScripts(CTransaction(tx), state, &::ChainstateActive().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS, true, true, txdata, nullptr));
+ BOOST_CHECK(!CheckInputScripts(CTransaction(tx), state, &m_node.chainman->ActiveChainstate().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS, true, true, txdata, nullptr));
std::vector<CScriptCheck> scriptchecks;
// Make sure this transaction was not cached (ie because the first
// input was valid)
- BOOST_CHECK(CheckInputScripts(CTransaction(tx), state, &::ChainstateActive().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS, true, true, txdata, &scriptchecks));
+ BOOST_CHECK(CheckInputScripts(CTransaction(tx), state, &m_node.chainman->ActiveChainstate().CoinsTip(), SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS, true, true, txdata, &scriptchecks));
// Should get 2 script checks back -- caching is on a whole-transaction basis.
BOOST_CHECK_EQUAL(scriptchecks.size(), 2U);
}
diff --git a/src/test/uint256_tests.cpp b/src/test/uint256_tests.cpp
index ae626d4613..bc206fc945 100644
--- a/src/test/uint256_tests.cpp
+++ b/src/test/uint256_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,8 +13,9 @@
#include <iomanip>
#include <sstream>
#include <string>
+#include <vector>
-BOOST_FIXTURE_TEST_SUITE(uint256_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(uint256_tests)
const unsigned char R1Array[] =
"\x9c\x52\x4a\xdb\xcf\x56\x11\x12\x2b\x29\x12\x5e\x5d\x35\xd2\xd2"
diff --git a/src/test/util/blockfilter.cpp b/src/test/util/blockfilter.cpp
index bccff5e5a6..3ae22921b9 100644
--- a/src/test/util/blockfilter.cpp
+++ b/src/test/util/blockfilter.cpp
@@ -1,15 +1,20 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <test/util/blockfilter.h>
#include <chainparams.h>
+#include <node/blockstorage.h>
#include <validation.h>
+using node::ReadBlockFromDisk;
+using node::UndoReadFromDisk;
bool ComputeFilter(BlockFilterType filter_type, const CBlockIndex* block_index, BlockFilter& filter)
{
+ LOCK(::cs_main);
+
CBlock block;
if (!ReadBlockFromDisk(block, block_index->GetBlockPos(), Params().GetConsensus())) {
return false;
diff --git a/src/test/util/chainstate.h b/src/test/util/chainstate.h
new file mode 100644
index 0000000000..09f96a033c
--- /dev/null
+++ b/src/test/util/chainstate.h
@@ -0,0 +1,55 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+//
+#ifndef BITCOIN_TEST_UTIL_CHAINSTATE_H
+#define BITCOIN_TEST_UTIL_CHAINSTATE_H
+
+#include <clientversion.h>
+#include <fs.h>
+#include <node/context.h>
+#include <node/utxo_snapshot.h>
+#include <rpc/blockchain.h>
+#include <validation.h>
+
+#include <univalue.h>
+
+#include <boost/test/unit_test.hpp>
+
+const auto NoMalleation = [](CAutoFile& file, node::SnapshotMetadata& meta){};
+
+/**
+ * Create and activate a UTXO snapshot, optionally providing a function to
+ * malleate the snapshot.
+ */
+template<typename F = decltype(NoMalleation)>
+static bool
+CreateAndActivateUTXOSnapshot(node::NodeContext& node, const fs::path root, F malleation = NoMalleation)
+{
+ // Write out a snapshot to the test's tempdir.
+ //
+ int height;
+ WITH_LOCK(::cs_main, height = node.chainman->ActiveHeight());
+ fs::path snapshot_path = root / tfm::format("test_snapshot.%d.dat", height);
+ FILE* outfile{fsbridge::fopen(snapshot_path, "wb")};
+ CAutoFile auto_outfile{outfile, SER_DISK, CLIENT_VERSION};
+
+ UniValue result = CreateUTXOSnapshot(
+ node, node.chainman->ActiveChainstate(), auto_outfile, snapshot_path, snapshot_path);
+ BOOST_TEST_MESSAGE(
+ "Wrote UTXO snapshot to " << fs::PathToString(snapshot_path.make_preferred()) << ": " << result.write());
+
+ // Read the written snapshot in and then activate it.
+ //
+ FILE* infile{fsbridge::fopen(snapshot_path, "rb")};
+ CAutoFile auto_infile{infile, SER_DISK, CLIENT_VERSION};
+ node::SnapshotMetadata metadata;
+ auto_infile >> metadata;
+
+ malleation(auto_infile, metadata);
+
+ return node.chainman->ActivateSnapshot(auto_infile, metadata, /*in_memory=*/true);
+}
+
+
+#endif // BITCOIN_TEST_UTIL_CHAINSTATE_H
diff --git a/src/test/util/logging.cpp b/src/test/util/logging.cpp
index c1dd47f06c..753e50d054 100644
--- a/src/test/util/logging.cpp
+++ b/src/test/util/logging.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,6 @@
#include <logging.h>
#include <noui.h>
#include <tinyformat.h>
-#include <util/memory.h>
#include <stdexcept>
diff --git a/src/test/util/mining.cpp b/src/test/util/mining.cpp
index 0c6487fbfa..5ed8598e8e 100644
--- a/src/test/util/mining.cpp
+++ b/src/test/util/mining.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,12 +7,17 @@
#include <chainparams.h>
#include <consensus/merkle.h>
#include <key_io.h>
-#include <miner.h>
#include <node/context.h>
+#include <node/miner.h>
#include <pow.h>
#include <script/standard.h>
+#include <test/util/script.h>
#include <util/check.h>
#include <validation.h>
+#include <versionbits.h>
+
+using node::BlockAssembler;
+using node::NodeContext;
CTxIn generatetoaddress(const NodeContext& node, const std::string& address)
{
@@ -23,6 +28,37 @@ CTxIn generatetoaddress(const NodeContext& node, const std::string& address)
return MineBlock(node, coinbase_script);
}
+std::vector<std::shared_ptr<CBlock>> CreateBlockChain(size_t total_height, const CChainParams& params)
+{
+ std::vector<std::shared_ptr<CBlock>> ret{total_height};
+ auto time{params.GenesisBlock().nTime};
+ for (size_t height{0}; height < total_height; ++height) {
+ CBlock& block{*(ret.at(height) = std::make_shared<CBlock>())};
+
+ CMutableTransaction coinbase_tx;
+ coinbase_tx.vin.resize(1);
+ coinbase_tx.vin[0].prevout.SetNull();
+ coinbase_tx.vout.resize(1);
+ coinbase_tx.vout[0].scriptPubKey = P2WSH_OP_TRUE;
+ coinbase_tx.vout[0].nValue = GetBlockSubsidy(height + 1, params.GetConsensus());
+ coinbase_tx.vin[0].scriptSig = CScript() << (height + 1) << OP_0;
+ block.vtx = {MakeTransactionRef(std::move(coinbase_tx))};
+
+ block.nVersion = VERSIONBITS_LAST_OLD_BLOCK_VERSION;
+ block.hashPrevBlock = (height >= 1 ? *ret.at(height - 1) : params.GenesisBlock()).GetHash();
+ block.hashMerkleRoot = BlockMerkleRoot(block);
+ block.nTime = ++time;
+ block.nBits = params.GenesisBlock().nBits;
+ block.nNonce = 0;
+
+ while (!CheckProofOfWork(block.GetHash(), block.nBits, params.GetConsensus())) {
+ ++block.nNonce;
+ assert(block.nNonce);
+ }
+ }
+ return ret;
+}
+
CTxIn MineBlock(const NodeContext& node, const CScript& coinbase_scriptPubKey)
{
auto block = PrepareBlock(node, coinbase_scriptPubKey);
@@ -41,12 +77,12 @@ CTxIn MineBlock(const NodeContext& node, const CScript& coinbase_scriptPubKey)
std::shared_ptr<CBlock> PrepareBlock(const NodeContext& node, const CScript& coinbase_scriptPubKey)
{
auto block = std::make_shared<CBlock>(
- BlockAssembler{*Assert(node.mempool), Params()}
+ BlockAssembler{Assert(node.chainman)->ActiveChainstate(), *Assert(node.mempool), Params()}
.CreateNewBlock(coinbase_scriptPubKey)
->block);
LOCK(cs_main);
- block->nTime = ::ChainActive().Tip()->GetMedianTimePast() + 1;
+ block->nTime = Assert(node.chainman)->ActiveChain().Tip()->GetMedianTimePast() + 1;
block->hashMerkleRoot = BlockMerkleRoot(*block);
return block;
diff --git a/src/test/util/mining.h b/src/test/util/mining.h
index 5f250fffe8..09e712cd35 100644
--- a/src/test/util/mining.h
+++ b/src/test/util/mining.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,19 +7,26 @@
#include <memory>
#include <string>
+#include <vector>
class CBlock;
+class CChainParams;
class CScript;
class CTxIn;
+namespace node {
struct NodeContext;
+} // namespace node
+
+/** Create a blockchain, starting from genesis */
+std::vector<std::shared_ptr<CBlock>> CreateBlockChain(size_t total_height, const CChainParams& params);
/** Returns the generated coin */
-CTxIn MineBlock(const NodeContext&, const CScript& coinbase_scriptPubKey);
+CTxIn MineBlock(const node::NodeContext&, const CScript& coinbase_scriptPubKey);
/** Prepare a block to be mined */
-std::shared_ptr<CBlock> PrepareBlock(const NodeContext&, const CScript& coinbase_scriptPubKey);
+std::shared_ptr<CBlock> PrepareBlock(const node::NodeContext&, const CScript& coinbase_scriptPubKey);
/** RPC-like helper function, returns the generated coin */
-CTxIn generatetoaddress(const NodeContext&, const std::string& address);
+CTxIn generatetoaddress(const node::NodeContext&, const std::string& address);
#endif // BITCOIN_TEST_UTIL_MINING_H
diff --git a/src/test/util/net.cpp b/src/test/util/net.cpp
index 847a490e03..fe3cf52974 100644
--- a/src/test/util/net.cpp
+++ b/src/test/util/net.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,6 +6,9 @@
#include <chainparams.h>
#include <net.h>
+#include <span.h>
+
+#include <vector>
void ConnmanTestMsg::NodeReceiveMsgBytes(CNode& node, Span<const uint8_t> msg_bytes, bool& complete) const
{
@@ -37,3 +40,25 @@ bool ConnmanTestMsg::ReceiveMsgFrom(CNode& node, CSerializedNetMsg& ser_msg) con
NodeReceiveMsgBytes(node, ser_msg.data, complete);
return complete;
}
+
+std::vector<NodeEvictionCandidate> GetRandomNodeEvictionCandidates(int n_candidates, FastRandomContext& random_context)
+{
+ std::vector<NodeEvictionCandidate> candidates;
+ for (int id = 0; id < n_candidates; ++id) {
+ candidates.push_back({
+ /*id=*/id,
+ /*m_connected=*/std::chrono::seconds{random_context.randrange(100)},
+ /*m_min_ping_time=*/std::chrono::microseconds{random_context.randrange(100)},
+ /*m_last_block_time=*/std::chrono::seconds{random_context.randrange(100)},
+ /*m_last_tx_time=*/std::chrono::seconds{random_context.randrange(100)},
+ /*fRelevantServices=*/random_context.randbool(),
+ /*fRelayTxes=*/random_context.randbool(),
+ /*fBloomFilter=*/random_context.randbool(),
+ /*nKeyedNetGroup=*/random_context.randrange(100),
+ /*prefer_evict=*/random_context.randbool(),
+ /*m_is_local=*/random_context.randbool(),
+ /*m_network=*/ALL_NETWORKS[random_context.randrange(ALL_NETWORKS.size())],
+ });
+ }
+ return candidates;
+}
diff --git a/src/test/util/net.h b/src/test/util/net.h
index e25036be26..20c45058a1 100644
--- a/src/test/util/net.h
+++ b/src/test/util/net.h
@@ -1,26 +1,41 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_TEST_UTIL_NET_H
#define BITCOIN_TEST_UTIL_NET_H
+#include <compat.h>
+#include <netaddress.h>
#include <net.h>
+#include <util/sock.h>
+
+#include <array>
+#include <cassert>
+#include <cstring>
+#include <memory>
+#include <string>
struct ConnmanTestMsg : public CConnman {
using CConnman::CConnman;
+
+ void SetPeerConnectTimeout(std::chrono::seconds timeout)
+ {
+ m_peer_connect_timeout = timeout;
+ }
+
void AddTestNode(CNode& node)
{
- LOCK(cs_vNodes);
- vNodes.push_back(&node);
+ LOCK(m_nodes_mutex);
+ m_nodes.push_back(&node);
}
void ClearTestNodes()
{
- LOCK(cs_vNodes);
- for (CNode* node : vNodes) {
+ LOCK(m_nodes_mutex);
+ for (CNode* node : m_nodes) {
delete node;
}
- vNodes.clear();
+ m_nodes.clear();
}
void ProcessMessagesOnce(CNode& node) { m_msgproc->ProcessMessages(&node, flagInterruptMsgProc); }
@@ -40,16 +55,16 @@ constexpr ServiceFlags ALL_SERVICE_FLAGS[]{
};
constexpr NetPermissionFlags ALL_NET_PERMISSION_FLAGS[]{
- NetPermissionFlags::PF_NONE,
- NetPermissionFlags::PF_BLOOMFILTER,
- NetPermissionFlags::PF_RELAY,
- NetPermissionFlags::PF_FORCERELAY,
- NetPermissionFlags::PF_NOBAN,
- NetPermissionFlags::PF_MEMPOOL,
- NetPermissionFlags::PF_ADDR,
- NetPermissionFlags::PF_DOWNLOAD,
- NetPermissionFlags::PF_ISIMPLICIT,
- NetPermissionFlags::PF_ALL,
+ NetPermissionFlags::None,
+ NetPermissionFlags::BloomFilter,
+ NetPermissionFlags::Relay,
+ NetPermissionFlags::ForceRelay,
+ NetPermissionFlags::NoBan,
+ NetPermissionFlags::Mempool,
+ NetPermissionFlags::Addr,
+ NetPermissionFlags::Download,
+ NetPermissionFlags::Implicit,
+ NetPermissionFlags::All,
};
constexpr ConnectionType ALL_CONNECTION_TYPES[]{
@@ -61,4 +76,95 @@ constexpr ConnectionType ALL_CONNECTION_TYPES[]{
ConnectionType::ADDR_FETCH,
};
+constexpr auto ALL_NETWORKS = std::array{
+ Network::NET_UNROUTABLE,
+ Network::NET_IPV4,
+ Network::NET_IPV6,
+ Network::NET_ONION,
+ Network::NET_I2P,
+ Network::NET_CJDNS,
+ Network::NET_INTERNAL,
+};
+
+/**
+ * A mocked Sock alternative that returns a statically contained data upon read and succeeds
+ * and ignores all writes. The data to be returned is given to the constructor and when it is
+ * exhausted an EOF is returned by further reads.
+ */
+class StaticContentsSock : public Sock
+{
+public:
+ explicit StaticContentsSock(const std::string& contents) : m_contents{contents}, m_consumed{0}
+ {
+ // Just a dummy number that is not INVALID_SOCKET.
+ m_socket = INVALID_SOCKET - 1;
+ }
+
+ ~StaticContentsSock() override { Reset(); }
+
+ StaticContentsSock& operator=(Sock&& other) override
+ {
+ assert(false && "Move of Sock into MockSock not allowed.");
+ return *this;
+ }
+
+ void Reset() override
+ {
+ m_socket = INVALID_SOCKET;
+ }
+
+ ssize_t Send(const void*, size_t len, int) const override { return len; }
+
+ ssize_t Recv(void* buf, size_t len, int flags) const override
+ {
+ const size_t consume_bytes{std::min(len, m_contents.size() - m_consumed)};
+ std::memcpy(buf, m_contents.data() + m_consumed, consume_bytes);
+ if ((flags & MSG_PEEK) == 0) {
+ m_consumed += consume_bytes;
+ }
+ return consume_bytes;
+ }
+
+ int Connect(const sockaddr*, socklen_t) const override { return 0; }
+
+ std::unique_ptr<Sock> Accept(sockaddr* addr, socklen_t* addr_len) const override
+ {
+ if (addr != nullptr) {
+ // Pretend all connections come from 5.5.5.5:6789
+ memset(addr, 0x00, *addr_len);
+ const socklen_t write_len = static_cast<socklen_t>(sizeof(sockaddr_in));
+ if (*addr_len >= write_len) {
+ *addr_len = write_len;
+ sockaddr_in* addr_in = reinterpret_cast<sockaddr_in*>(addr);
+ addr_in->sin_family = AF_INET;
+ memset(&addr_in->sin_addr, 0x05, sizeof(addr_in->sin_addr));
+ addr_in->sin_port = htons(6789);
+ }
+ }
+ return std::make_unique<StaticContentsSock>("");
+ };
+
+ int GetSockOpt(int level, int opt_name, void* opt_val, socklen_t* opt_len) const override
+ {
+ std::memset(opt_val, 0x0, *opt_len);
+ return 0;
+ }
+
+ bool Wait(std::chrono::milliseconds timeout,
+ Event requested,
+ Event* occurred = nullptr) const override
+ {
+ if (occurred != nullptr) {
+ *occurred = requested;
+ }
+ return true;
+ }
+
+private:
+ const std::string m_contents;
+ mutable size_t m_consumed;
+};
+
+std::vector<NodeEvictionCandidate> GetRandomNodeEvictionCandidates(int n_candidates, FastRandomContext& random_context);
+
#endif // BITCOIN_TEST_UTIL_NET_H
diff --git a/src/test/util/script.cpp b/src/test/util/script.cpp
new file mode 100644
index 0000000000..a5852daa60
--- /dev/null
+++ b/src/test/util/script.cpp
@@ -0,0 +1,13 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <script/interpreter.h>
+#include <test/util/script.h>
+
+bool IsValidFlagCombination(unsigned flags)
+{
+ if (flags & SCRIPT_VERIFY_CLEANSTACK && ~flags & (SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS)) return false;
+ if (flags & SCRIPT_VERIFY_WITNESS && ~flags & SCRIPT_VERIFY_P2SH) return false;
+ return true;
+}
diff --git a/src/test/util/script.h b/src/test/util/script.h
index abd14c2067..428b3e10b3 100644
--- a/src/test/util/script.h
+++ b/src/test/util/script.h
@@ -18,4 +18,7 @@ static const CScript P2WSH_OP_TRUE{
return hash;
}())};
+/** Flags that are not forbidden by an assert in script validation */
+bool IsValidFlagCombination(unsigned flags);
+
#endif // BITCOIN_TEST_UTIL_SCRIPT_H
diff --git a/src/test/util/setup_common.cpp b/src/test/util/setup_common.cpp
index 46b28190d3..c968e4d124 100644
--- a/src/test/util/setup_common.cpp
+++ b/src/test/util/setup_common.cpp
@@ -1,9 +1,10 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <test/util/setup_common.h>
+#include <addrman.h>
#include <banman.h>
#include <chainparams.h>
#include <consensus/consensus.h>
@@ -12,10 +13,12 @@
#include <crypto/sha256.h>
#include <init.h>
#include <interfaces/chain.h>
-#include <miner.h>
#include <net.h>
#include <net_processing.h>
+#include <node/miner.h>
#include <noui.h>
+#include <node/blockstorage.h>
+#include <node/chainstate.h>
#include <policy/fees.h>
#include <pow.h>
#include <rpc/blockchain.h>
@@ -23,11 +26,13 @@
#include <rpc/server.h>
#include <scheduler.h>
#include <script/sigcache.h>
+#include <shutdown.h>
#include <streams.h>
#include <txdb.h>
-#include <util/memory.h>
#include <util/strencodings.h>
#include <util/string.h>
+#include <util/thread.h>
+#include <util/threadnames.h>
#include <util/time.h>
#include <util/translation.h>
#include <util/url.h>
@@ -37,6 +42,15 @@
#include <walletinitinterface.h>
#include <functional>
+#include <stdexcept>
+
+using node::BlockAssembler;
+using node::CalculateCacheSizes;
+using node::LoadChainstate;
+using node::RegenerateCommitments;
+using node::VerifyLoadedChainstate;
+using node::fPruneMode;
+using node::fReindex;
const std::function<std::string(const char*)> G_TRANSLATION_FUN = nullptr;
UrlDecodeFn* const URL_DECODE = nullptr;
@@ -71,9 +85,11 @@ std::ostream& operator<<(std::ostream& os, const uint256& num)
}
BasicTestingSetup::BasicTestingSetup(const std::string& chainName, const std::vector<const char*>& extra_args)
- : m_path_root{fs::temp_directory_path() / "test_common_" PACKAGE_NAME / g_insecure_rand_ctx_temp_path.rand256().ToString()}
+ : m_path_root{fs::temp_directory_path() / "test_common_" PACKAGE_NAME / g_insecure_rand_ctx_temp_path.rand256().ToString()},
+ m_args{}
{
- const std::vector<const char*> arguments = Cat(
+ m_node.args = &gArgs;
+ std::vector<const char*> arguments = Cat(
{
"dummy",
"-printtoconsole=0",
@@ -85,16 +101,21 @@ BasicTestingSetup::BasicTestingSetup(const std::string& chainName, const std::ve
"-debugexclude=leveldb",
},
extra_args);
+ if (G_TEST_COMMAND_LINE_ARGUMENTS) {
+ arguments = Cat(arguments, G_TEST_COMMAND_LINE_ARGUMENTS());
+ }
util::ThreadRename("test");
fs::create_directories(m_path_root);
- gArgs.ForceSetArg("-datadir", m_path_root.string());
- ClearDatadirCache();
+ m_args.ForceSetArg("-datadir", fs::PathToString(m_path_root));
+ gArgs.ForceSetArg("-datadir", fs::PathToString(m_path_root));
+ gArgs.ClearPathCache();
{
- SetupServerArgs(m_node);
+ SetupServerArgs(*m_node.args);
std::string error;
- const bool success{m_node.args->ParseParameters(arguments.size(), arguments.data(), error)};
- assert(success);
- assert(error.empty());
+ if (!m_node.args->ParseParameters(arguments.size(), arguments.data(), error)) {
+ m_node.args->ClearArgs();
+ throw std::runtime_error{error};
+ }
}
SelectParams(chainName);
SeedInsecureRand();
@@ -109,7 +130,6 @@ BasicTestingSetup::BasicTestingSetup(const std::string& chainName, const std::ve
InitSignatureCache();
InitScriptExecutionCache();
m_node.chain = interfaces::MakeChain(m_node);
- g_wallet_init_interface.Construct(m_node);
fCheckBlockIndex = true;
static bool noui_connected = false;
if (!noui_connected) {
@@ -120,6 +140,7 @@ BasicTestingSetup::BasicTestingSetup(const std::string& chainName, const std::ve
BasicTestingSetup::~BasicTestingSetup()
{
+ SetMockTime(0s); // Reset mocktime for following tests
LogInstance().DisconnectTestLogger();
fs::remove_all(m_path_root);
gArgs.ClearArgs();
@@ -131,16 +152,17 @@ ChainTestingSetup::ChainTestingSetup(const std::string& chainName, const std::ve
{
// We have to run a scheduler thread to prevent ActivateBestChain
// from blocking due to queue overrun.
- m_node.scheduler = MakeUnique<CScheduler>();
- m_node.scheduler->m_service_thread = std::thread([&] { TraceThread("scheduler", [&] { m_node.scheduler->serviceQueue(); }); });
+ m_node.scheduler = std::make_unique<CScheduler>();
+ m_node.scheduler->m_service_thread = std::thread(util::TraceThread, "scheduler", [&] { m_node.scheduler->serviceQueue(); });
GetMainSignals().RegisterBackgroundSignalScheduler(*m_node.scheduler);
- pblocktree.reset(new CBlockTreeDB(1 << 20, true));
-
m_node.fee_estimator = std::make_unique<CBlockPolicyEstimator>();
m_node.mempool = std::make_unique<CTxMemPool>(m_node.fee_estimator.get(), 1);
- m_node.chainman = &::g_chainman;
+ m_cache_sizes = CalculateCacheSizes(m_args);
+
+ m_node.chainman = std::make_unique<ChainstateManager>();
+ m_node.chainman->m_blockman.m_block_tree_db = std::make_unique<CBlockTreeDB>(m_cache_sizes.block_tree_db, true);
// Start script-checking threads. Set g_parallel_script_checks to true so they are used.
constexpr int script_check_threads = 2;
@@ -156,13 +178,13 @@ ChainTestingSetup::~ChainTestingSetup()
GetMainSignals().UnregisterBackgroundSignalScheduler();
m_node.connman.reset();
m_node.banman.reset();
+ m_node.addrman.reset();
m_node.args = nullptr;
UnloadBlockIndex(m_node.mempool.get(), *m_node.chainman);
m_node.mempool.reset();
m_node.scheduler.reset();
m_node.chainman->Reset();
- m_node.chainman = nullptr;
- pblocktree.reset();
+ m_node.chainman.reset();
}
TestingSetup::TestingSetup(const std::string& chainName, const std::vector<const char*>& extra_args)
@@ -173,26 +195,42 @@ TestingSetup::TestingSetup(const std::string& chainName, const std::vector<const
// instead of unit tests, but for now we need these here.
RegisterAllCoreRPCCommands(tableRPC);
- m_node.chainman->InitializeChainstate(*m_node.mempool);
- ::ChainstateActive().InitCoinsDB(
- /* cache_size_bytes */ 1 << 23, /* in_memory */ true, /* should_wipe */ false);
- assert(!::ChainstateActive().CanFlushToDisk());
- ::ChainstateActive().InitCoinsCache(1 << 23);
- assert(::ChainstateActive().CanFlushToDisk());
- if (!::ChainstateActive().LoadGenesisBlock(chainparams)) {
- throw std::runtime_error("LoadGenesisBlock failed.");
- }
+ auto maybe_load_error = LoadChainstate(fReindex.load(),
+ *Assert(m_node.chainman.get()),
+ Assert(m_node.mempool.get()),
+ fPruneMode,
+ chainparams.GetConsensus(),
+ m_args.GetBoolArg("-reindex-chainstate", false),
+ m_cache_sizes.block_tree_db,
+ m_cache_sizes.coins_db,
+ m_cache_sizes.coins,
+ /*block_tree_db_in_memory=*/true,
+ /*coins_db_in_memory=*/true);
+ assert(!maybe_load_error.has_value());
+
+ auto maybe_verify_error = VerifyLoadedChainstate(
+ *Assert(m_node.chainman),
+ fReindex.load(),
+ m_args.GetBoolArg("-reindex-chainstate", false),
+ chainparams.GetConsensus(),
+ m_args.GetIntArg("-checkblocks", DEFAULT_CHECKBLOCKS),
+ m_args.GetIntArg("-checklevel", DEFAULT_CHECKLEVEL),
+ /*get_unix_time_seconds=*/static_cast<int64_t(*)()>(GetTime));
+ assert(!maybe_verify_error.has_value());
BlockValidationState state;
- if (!::ChainstateActive().ActivateBestChain(state, chainparams)) {
+ if (!m_node.chainman->ActiveChainstate().ActivateBestChain(state)) {
throw std::runtime_error(strprintf("ActivateBestChain failed. (%s)", state.ToString()));
}
- m_node.banman = MakeUnique<BanMan>(GetDataDir() / "banlist.dat", nullptr, DEFAULT_MISBEHAVING_BANTIME);
- m_node.connman = MakeUnique<CConnman>(0x1337, 0x1337); // Deterministic randomness for tests.
- m_node.peerman = PeerManager::make(chainparams, *m_node.connman, m_node.banman.get(),
- *m_node.scheduler, *m_node.chainman, *m_node.mempool,
- false);
+ m_node.addrman = std::make_unique<AddrMan>(/*asmap=*/std::vector<bool>(),
+ /*deterministic=*/false,
+ m_node.args->GetIntArg("-checkaddrman", 0));
+ m_node.banman = std::make_unique<BanMan>(m_args.GetDataDirBase() / "banlist", nullptr, DEFAULT_MISBEHAVING_BANTIME);
+ m_node.connman = std::make_unique<CConnman>(0x1337, 0x1337, *m_node.addrman); // Deterministic randomness for tests.
+ m_node.peerman = PeerManager::make(chainparams, *m_node.connman, *m_node.addrman,
+ m_node.banman.get(), *m_node.chainman,
+ *m_node.mempool, false);
{
CConnman::Options options;
options.m_msgproc = m_node.peerman.get();
@@ -200,61 +238,67 @@ TestingSetup::TestingSetup(const std::string& chainName, const std::vector<const
}
}
-TestChain100Setup::TestChain100Setup(bool deterministic)
+TestChain100Setup::TestChain100Setup(const std::vector<const char*>& extra_args)
+ : TestingSetup{CBaseChainParams::REGTEST, extra_args}
{
- m_deterministic = deterministic;
-
- if (m_deterministic) {
- SetMockTime(1598887952);
- constexpr std::array<unsigned char, 32> vchKey = {
- {
- 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
- }
- };
- coinbaseKey.Set(vchKey.begin(), vchKey.end(), false);
- } else {
- coinbaseKey.MakeNewKey(true);
- }
+ SetMockTime(1598887952);
+ constexpr std::array<unsigned char, 32> vchKey = {
+ {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}};
+ coinbaseKey.Set(vchKey.begin(), vchKey.end(), true);
// Generate a 100-block chain:
this->mineBlocks(COINBASE_MATURITY);
- if (m_deterministic) {
+ {
LOCK(::cs_main);
assert(
m_node.chainman->ActiveChain().Tip()->GetBlockHash().ToString() ==
- "49c95db1e470fed04496d801c9d8fbb78155d2c7f855232c918823d2c17d0cf6");
+ "571d80a9967ae599cec0448b0b0ba1cfb606f584d8069bd7166b86854ba7a191");
}
}
void TestChain100Setup::mineBlocks(int num_blocks)
{
CScript scriptPubKey = CScript() << ToByteVector(coinbaseKey.GetPubKey()) << OP_CHECKSIG;
- for (int i = 0; i < num_blocks; i++)
- {
+ for (int i = 0; i < num_blocks; i++) {
std::vector<CMutableTransaction> noTxns;
CBlock b = CreateAndProcessBlock(noTxns, scriptPubKey);
- if (m_deterministic) {
- SetMockTime(GetTime() + 1);
- }
+ SetMockTime(GetTime() + 1);
m_coinbase_txns.push_back(b.vtx[0]);
}
}
-CBlock TestChain100Setup::CreateAndProcessBlock(const std::vector<CMutableTransaction>& txns, const CScript& scriptPubKey)
+CBlock TestChain100Setup::CreateBlock(
+ const std::vector<CMutableTransaction>& txns,
+ const CScript& scriptPubKey,
+ CChainState& chainstate)
{
const CChainParams& chainparams = Params();
CTxMemPool empty_pool;
- CBlock block = BlockAssembler(empty_pool, chainparams).CreateNewBlock(scriptPubKey)->block;
+ CBlock block = BlockAssembler(chainstate, empty_pool, chainparams).CreateNewBlock(scriptPubKey)->block;
Assert(block.vtx.size() == 1);
for (const CMutableTransaction& tx : txns) {
block.vtx.push_back(MakeTransactionRef(tx));
}
- RegenerateCommitments(block);
+ RegenerateCommitments(block, *Assert(m_node.chainman));
while (!CheckProofOfWork(block.GetHash(), block.nBits, chainparams.GetConsensus())) ++block.nNonce;
+ return block;
+}
+
+CBlock TestChain100Setup::CreateAndProcessBlock(
+ const std::vector<CMutableTransaction>& txns,
+ const CScript& scriptPubKey,
+ CChainState* chainstate)
+{
+ if (!chainstate) {
+ chainstate = &Assert(m_node.chainman)->ActiveChainstate();
+ }
+
+ const CChainParams& chainparams = Params();
+ const CBlock block = this->CreateBlock(txns, scriptPubKey, *chainstate);
std::shared_ptr<const CBlock> shared_pblock = std::make_shared<const CBlock>(block);
Assert(m_node.chainman)->ProcessNewBlock(chainparams, shared_pblock, true, nullptr);
@@ -267,7 +311,8 @@ CMutableTransaction TestChain100Setup::CreateValidMempoolTransaction(CTransactio
int input_height,
CKey input_signing_key,
CScript output_destination,
- CAmount output_amount)
+ CAmount output_amount,
+ bool submit)
{
// Transaction we will submit to the mempool
CMutableTransaction mempool_txn;
@@ -297,27 +342,19 @@ CMutableTransaction TestChain100Setup::CreateValidMempoolTransaction(CTransactio
input_coins.insert({outpoint_to_spend, utxo_to_spend});
// - Default signature hashing type
int nHashType = SIGHASH_ALL;
- std::map<int, std::string> input_errors;
+ std::map<int, bilingual_str> input_errors;
assert(SignTransaction(mempool_txn, &keystore, input_coins, nHashType, input_errors));
- // Add transaction to the mempool
- {
+ // If submit=true, add transaction to the mempool.
+ if (submit) {
LOCK(cs_main);
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), *m_node.mempool.get(), MakeTransactionRef(mempool_txn), /* bypass_limits */ false);
+ const MempoolAcceptResult result = m_node.chainman->ProcessTransaction(MakeTransactionRef(mempool_txn));
assert(result.m_result_type == MempoolAcceptResult::ResultType::VALID);
}
return mempool_txn;
}
-TestChain100Setup::~TestChain100Setup()
-{
- gArgs.ForceSetArg("-segwitheight", "0");
- if (m_deterministic) {
- SetMockTime(0);
- }
-}
-
CTxMemPoolEntry TestMemPoolEntryHelper::FromTx(const CMutableTransaction& tx) const
{
return FromTx(MakeTransactionRef(tx));
diff --git a/src/test/util/setup_common.h b/src/test/util/setup_common.h
index 7323f1f0b6..a1b7525cf4 100644
--- a/src/test/util/setup_common.h
+++ b/src/test/util/setup_common.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,6 +8,8 @@
#include <chainparamsbase.h>
#include <fs.h>
#include <key.h>
+#include <util/system.h>
+#include <node/caches.h>
#include <node/context.h>
#include <pubkey.h>
#include <random.h>
@@ -17,18 +19,24 @@
#include <util/string.h>
#include <util/vector.h>
+#include <functional>
#include <type_traits>
#include <vector>
/** This is connected to the logger. Can be used to redirect logs to any other log */
extern const std::function<void(const std::string&)> G_TEST_LOG_FUN;
+/** Retrieve the command line arguments. */
+extern const std::function<std::vector<const char*>()> G_TEST_COMMAND_LINE_ARGUMENTS;
+
// Enable BOOST_CHECK_EQUAL for enum class types
+namespace std {
template <typename T>
std::ostream& operator<<(typename std::enable_if<std::is_enum<T>::value, std::ostream>::type& stream, const T& e)
{
return stream << static_cast<typename std::underlying_type<T>::type>(e);
}
+} // namespace std
/**
* This global and the helpers that use it are not thread-safe.
@@ -55,7 +63,7 @@ void Seed(FastRandomContext& ctx);
static inline void SeedInsecureRand(SeedRand seed = SeedRand::SEED)
{
if (seed == SeedRand::ZEROS) {
- g_insecure_rand_ctx = FastRandomContext(/* deterministic */ true);
+ g_insecure_rand_ctx = FastRandomContext(/*fDeterministic=*/true);
} else {
Seed(g_insecure_rand_ctx);
}
@@ -74,12 +82,13 @@ static constexpr CAmount CENT{1000000};
*/
struct BasicTestingSetup {
ECCVerifyHandle globalVerifyHandle;
- NodeContext m_node;
+ node::NodeContext m_node;
explicit BasicTestingSetup(const std::string& chainName = CBaseChainParams::MAIN, const std::vector<const char*>& extra_args = {});
~BasicTestingSetup();
const fs::path m_path_root;
+ ArgsManager m_args;
};
/** Testing setup that performs all steps up until right before
@@ -87,6 +96,7 @@ struct BasicTestingSetup {
* initialization behaviour.
*/
struct ChainTestingSetup : public BasicTestingSetup {
+ node::CacheSizes m_cache_sizes{};
explicit ChainTestingSetup(const std::string& chainName = CBaseChainParams::MAIN, const std::vector<const char*>& extra_args = {});
~ChainTestingSetup();
@@ -111,15 +121,26 @@ class CScript;
/**
* Testing fixture that pre-creates a 100-block REGTEST-mode block chain
*/
-struct TestChain100Setup : public RegTestingSetup {
- TestChain100Setup(bool deterministic = false);
+struct TestChain100Setup : public TestingSetup {
+ TestChain100Setup(const std::vector<const char*>& extra_args = {});
/**
* Create a new block with just given transactions, coinbase paying to
* scriptPubKey, and try to add it to the current chain.
+ * If no chainstate is specified, default to the active.
*/
CBlock CreateAndProcessBlock(const std::vector<CMutableTransaction>& txns,
- const CScript& scriptPubKey);
+ const CScript& scriptPubKey,
+ CChainState* chainstate = nullptr);
+
+ /**
+ * Create a new block with just given transactions, coinbase paying to
+ * scriptPubKey.
+ */
+ CBlock CreateBlock(
+ const std::vector<CMutableTransaction>& txns,
+ const CScript& scriptPubKey,
+ CChainState& chainstate);
//! Mine a series of new blocks on the active chain.
void mineBlocks(int num_blocks);
@@ -133,26 +154,20 @@ struct TestChain100Setup : public RegTestingSetup {
* @param input_signing_key The key to spend the input_transaction
* @param output_destination Where to send the output
* @param output_amount How much to send
+ * @param submit Whether or not to submit to mempool
*/
CMutableTransaction CreateValidMempoolTransaction(CTransactionRef input_transaction,
int input_vout,
int input_height,
CKey input_signing_key,
CScript output_destination,
- CAmount output_amount = CAmount(1 * COIN));
+ CAmount output_amount = CAmount(1 * COIN),
+ bool submit = true);
- ~TestChain100Setup();
-
- bool m_deterministic;
std::vector<CTransactionRef> m_coinbase_txns; // For convenience, coinbase transactions
CKey coinbaseKey; // private/public key needed to spend coinbase transactions
};
-
-struct TestChain100DeterministicSetup : public TestChain100Setup {
- TestChain100DeterministicSetup() : TestChain100Setup(true) { }
-};
-
/**
* Make a test setup that has disk access to the debug.log file disabled. Can
* be used in "hot loops", for example fuzzing or benchmarking.
@@ -220,4 +235,4 @@ private:
const std::string m_reason;
};
-#endif
+#endif // BITCOIN_TEST_UTIL_SETUP_COMMON_H
diff --git a/src/test/util/wallet.cpp b/src/test/util/wallet.cpp
index fd6012e9fe..52aaeabccf 100644
--- a/src/test/util/wallet.cpp
+++ b/src/test/util/wallet.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,9 +8,12 @@
#include <outputtype.h>
#include <script/standard.h>
#ifdef ENABLE_WALLET
+#include <util/translation.h>
#include <wallet/wallet.h>
#endif
+using wallet::CWallet;
+
const std::string ADDRESS_BCRT1_UNSPENDABLE = "bcrt1qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq3xueyj";
#ifdef ENABLE_WALLET
@@ -18,22 +21,10 @@ std::string getnewaddress(CWallet& w)
{
constexpr auto output_type = OutputType::BECH32;
CTxDestination dest;
- std::string error;
+ bilingual_str error;
if (!w.GetNewDestination(output_type, "", dest, error)) assert(false);
return EncodeDestination(dest);
}
-void importaddress(CWallet& wallet, const std::string& address)
-{
- auto spk_man = wallet.GetLegacyScriptPubKeyMan();
- LOCK2(wallet.cs_wallet, spk_man->cs_KeyStore);
- const auto dest = DecodeDestination(address);
- assert(IsValidDestination(dest));
- const auto script = GetScriptForDestination(dest);
- wallet.MarkDirty();
- assert(!spk_man->HaveWatchOnly(script));
- if (!spk_man->AddWatchOnly(script, 0 /* nCreateTime */)) assert(false);
- wallet.SetAddressBook(dest, /* label */ "", "receive");
-}
#endif // ENABLE_WALLET
diff --git a/src/test/util/wallet.h b/src/test/util/wallet.h
index 565ef1756a..31281bf70e 100644
--- a/src/test/util/wallet.h
+++ b/src/test/util/wallet.h
@@ -7,7 +7,9 @@
#include <string>
+namespace wallet {
class CWallet;
+} // namespace wallet
// Constants //
@@ -16,9 +18,9 @@ extern const std::string ADDRESS_BCRT1_UNSPENDABLE;
// RPC-like //
/** Import the address to the wallet */
-void importaddress(CWallet& wallet, const std::string& address);
+void importaddress(wallet::CWallet& wallet, const std::string& address);
/** Returns a new address from the wallet */
-std::string getnewaddress(CWallet& w);
+std::string getnewaddress(wallet::CWallet& w);
#endif // BITCOIN_TEST_UTIL_WALLET_H
diff --git a/src/test/util_tests.cpp b/src/test/util_tests.cpp
index 5a46002a79..52b24327ec 100644
--- a/src/test/util_tests.cpp
+++ b/src/test/util_tests.cpp
@@ -1,13 +1,13 @@
-// Copyright (c) 2011-2020 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <util/system.h>
#include <clientversion.h>
+#include <fs.h>
#include <hash.h> // For Hash()
#include <key.h> // For CKey
-#include <optional.h>
#include <sync.h>
#include <test/util/logging.h>
#include <test/util/setup_common.h>
@@ -16,6 +16,7 @@
#include <util/getuniquepath.h>
#include <util/message.h> // For MessageSign(), MessageVerify(), MESSAGE_MAGIC
#include <util/moneystr.h>
+#include <util/overflow.h>
#include <util/spanparsing.h>
#include <util/strencodings.h>
#include <util/string.h>
@@ -23,6 +24,9 @@
#include <util/vector.h>
#include <array>
+#include <optional>
+#include <limits>
+#include <map>
#include <stdint.h>
#include <string.h>
#include <thread>
@@ -38,6 +42,7 @@
#include <boost/test/unit_test.hpp>
using namespace std::literals;
+static const std::string STRING_WITH_EMBEDDED_NULL_CHAR{"1"s "\0" "1"s};
/* defined in logging.cpp */
namespace BCLog {
@@ -48,34 +53,40 @@ BOOST_FIXTURE_TEST_SUITE(util_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(util_datadir)
{
- ClearDatadirCache();
- const fs::path dd_norm = GetDataDir();
+ // Use local args variable instead of m_args to avoid making assumptions about test setup
+ ArgsManager args;
+ args.ForceSetArg("-datadir", fs::PathToString(m_path_root));
- gArgs.ForceSetArg("-datadir", dd_norm.string() + "/");
- ClearDatadirCache();
- BOOST_CHECK_EQUAL(dd_norm, GetDataDir());
+ const fs::path dd_norm = args.GetDataDirBase();
- gArgs.ForceSetArg("-datadir", dd_norm.string() + "/.");
- ClearDatadirCache();
- BOOST_CHECK_EQUAL(dd_norm, GetDataDir());
+ args.ForceSetArg("-datadir", fs::PathToString(dd_norm) + "/");
+ args.ClearPathCache();
+ BOOST_CHECK_EQUAL(dd_norm, args.GetDataDirBase());
- gArgs.ForceSetArg("-datadir", dd_norm.string() + "/./");
- ClearDatadirCache();
- BOOST_CHECK_EQUAL(dd_norm, GetDataDir());
+ args.ForceSetArg("-datadir", fs::PathToString(dd_norm) + "/.");
+ args.ClearPathCache();
+ BOOST_CHECK_EQUAL(dd_norm, args.GetDataDirBase());
- gArgs.ForceSetArg("-datadir", dd_norm.string() + "/.//");
- ClearDatadirCache();
- BOOST_CHECK_EQUAL(dd_norm, GetDataDir());
+ args.ForceSetArg("-datadir", fs::PathToString(dd_norm) + "/./");
+ args.ClearPathCache();
+ BOOST_CHECK_EQUAL(dd_norm, args.GetDataDirBase());
+
+ args.ForceSetArg("-datadir", fs::PathToString(dd_norm) + "/.//");
+ args.ClearPathCache();
+ BOOST_CHECK_EQUAL(dd_norm, args.GetDataDirBase());
}
BOOST_AUTO_TEST_CASE(util_check)
{
// Check that Assert can forward
- const std::unique_ptr<int> p_two = Assert(MakeUnique<int>(2));
+ const std::unique_ptr<int> p_two = Assert(std::make_unique<int>(2));
// Check that Assert works on lvalues and rvalues
const int two = *Assert(p_two);
Assert(two == 2);
Assert(true);
+ // Check that Assume can be used as unary expression
+ const bool result{Assume(two == 2)};
+ Assert(result);
}
BOOST_AUTO_TEST_CASE(util_criticalsection)
@@ -135,21 +146,32 @@ BOOST_AUTO_TEST_CASE(util_HexStr)
"04678afdb0fe5548271967f1a67130b7105cd6a828e03909a67962e0ea1f61deb649f6bc3f4cef38c4f35504e51ec112de5c384df7ba0b8d578a4c702b6bf11d5f");
BOOST_CHECK_EQUAL(
- HexStr(Span<const unsigned char>(
- ParseHex_expected + sizeof(ParseHex_expected),
- ParseHex_expected + sizeof(ParseHex_expected))),
+ HexStr(Span{ParseHex_expected}.last(0)),
"");
BOOST_CHECK_EQUAL(
- HexStr(Span<const unsigned char>(ParseHex_expected, ParseHex_expected)),
+ HexStr(Span{ParseHex_expected}.first(0)),
"");
- std::vector<unsigned char> ParseHex_vec(ParseHex_expected, ParseHex_expected + 5);
+ {
+ const std::vector<char> in_s{ParseHex_expected, ParseHex_expected + 5};
+ const Span<const uint8_t> in_u{MakeUCharSpan(in_s)};
+ const Span<const std::byte> in_b{MakeByteSpan(in_s)};
+ const std::string out_exp{"04678afdb0"};
+
+ BOOST_CHECK_EQUAL(HexStr(in_u), out_exp);
+ BOOST_CHECK_EQUAL(HexStr(in_s), out_exp);
+ BOOST_CHECK_EQUAL(HexStr(in_b), out_exp);
+ }
+}
- BOOST_CHECK_EQUAL(
- HexStr(ParseHex_vec),
- "04678afdb0"
- );
+BOOST_AUTO_TEST_CASE(span_write_bytes)
+{
+ std::array mut_arr{uint8_t{0xaa}, uint8_t{0xbb}};
+ const auto mut_bytes{MakeWritableByteSpan(mut_arr)};
+ mut_bytes[1] = std::byte{0x11};
+ BOOST_CHECK_EQUAL(mut_arr.at(0), 0xaa);
+ BOOST_CHECK_EQUAL(mut_arr.at(1), 0x11);
}
BOOST_AUTO_TEST_CASE(util_Join)
@@ -166,6 +188,22 @@ BOOST_AUTO_TEST_CASE(util_Join)
BOOST_CHECK_EQUAL(Join<std::string>({"foo", "bar"}, ", ", op_upper), "FOO, BAR");
}
+BOOST_AUTO_TEST_CASE(util_TrimString)
+{
+ BOOST_CHECK_EQUAL(TrimString(" foo bar "), "foo bar");
+ BOOST_CHECK_EQUAL(TrimString("\t \n \n \f\n\r\t\v\tfoo \n \f\n\r\t\v\tbar\t \n \f\n\r\t\v\t\n "), "foo \n \f\n\r\t\v\tbar");
+ BOOST_CHECK_EQUAL(TrimString("\t \n foo \n\tbar\t \n "), "foo \n\tbar");
+ BOOST_CHECK_EQUAL(TrimString("\t \n foo \n\tbar\t \n ", "fobar"), "\t \n foo \n\tbar\t \n ");
+ BOOST_CHECK_EQUAL(TrimString("foo bar"), "foo bar");
+ BOOST_CHECK_EQUAL(TrimString("foo bar", "fobar"), " ");
+ BOOST_CHECK_EQUAL(TrimString(std::string("\0 foo \0 ", 8)), std::string("\0 foo \0", 7));
+ BOOST_CHECK_EQUAL(TrimString(std::string(" foo ", 5)), std::string("foo", 3));
+ BOOST_CHECK_EQUAL(TrimString(std::string("\t\t\0\0\n\n", 6)), std::string("\0\0", 2));
+ BOOST_CHECK_EQUAL(TrimString(std::string("\x05\x04\x03\x02\x01\x00", 6)), std::string("\x05\x04\x03\x02\x01\x00", 6));
+ BOOST_CHECK_EQUAL(TrimString(std::string("\x05\x04\x03\x02\x01\x00", 6), std::string("\x05\x04\x03\x02\x01", 5)), std::string("\0", 1));
+ BOOST_CHECK_EQUAL(TrimString(std::string("\x05\x04\x03\x02\x01\x00", 6), std::string("\x05\x04\x03\x02\x01\x00", 6)), "");
+}
+
BOOST_AUTO_TEST_CASE(util_FormatParseISO8601DateTime)
{
BOOST_CHECK_EQUAL(FormatISO8601DateTime(1317425777), "2011-09-30T23:36:17Z");
@@ -175,7 +213,7 @@ BOOST_AUTO_TEST_CASE(util_FormatParseISO8601DateTime)
BOOST_CHECK_EQUAL(ParseISO8601DateTime("1960-01-01T00:00:00Z"), 0);
BOOST_CHECK_EQUAL(ParseISO8601DateTime("2011-09-30T23:36:17Z"), 1317425777);
- auto time = GetSystemTimeInSeconds();
+ auto time = GetTimeSeconds();
BOOST_CHECK_EQUAL(ParseISO8601DateTime(FormatISO8601DateTime(time)), time);
}
@@ -227,9 +265,9 @@ public:
bool default_int = false;
bool default_bool = false;
const char* string_value = nullptr;
- Optional<int64_t> int_value;
- Optional<bool> bool_value;
- Optional<std::vector<std::string>> list_value;
+ std::optional<int64_t> int_value;
+ std::optional<bool> bool_value;
+ std::optional<std::vector<std::string>> list_value;
const char* error = nullptr;
explicit Expect(util::SettingsValue s) : setting(std::move(s)) {}
@@ -277,9 +315,9 @@ public:
}
if (expect.default_int) {
- BOOST_CHECK_EQUAL(test.GetArg("-value", 99999), 99999);
+ BOOST_CHECK_EQUAL(test.GetIntArg("-value", 99999), 99999);
} else if (expect.int_value) {
- BOOST_CHECK_EQUAL(test.GetArg("-value", 99999), *expect.int_value);
+ BOOST_CHECK_EQUAL(test.GetIntArg("-value", 99999), *expect.int_value);
} else {
BOOST_CHECK(!success);
}
@@ -322,6 +360,25 @@ BOOST_FIXTURE_TEST_CASE(util_CheckValue, CheckValueTest)
CheckValue(M::ALLOW_ANY, "-value=abc", Expect{"abc"}.String("abc").Int(0).Bool(false).List({"abc"}));
}
+struct NoIncludeConfTest {
+ std::string Parse(const char* arg)
+ {
+ TestArgsManager test;
+ test.SetupArgs({{"-includeconf", ArgsManager::ALLOW_ANY}});
+ std::array argv{"ignored", arg};
+ std::string error;
+ (void)test.ParseParameters(argv.size(), argv.data(), error);
+ return error;
+ }
+};
+
+BOOST_FIXTURE_TEST_CASE(util_NoIncludeConf, NoIncludeConfTest)
+{
+ BOOST_CHECK_EQUAL(Parse("-noincludeconf"), "");
+ BOOST_CHECK_EQUAL(Parse("-includeconf"), "-includeconf cannot be used from commandline; -includeconf=\"\"");
+ BOOST_CHECK_EQUAL(Parse("-includeconf=file"), "-includeconf cannot be used from commandline; -includeconf=\"file\"");
+}
+
BOOST_AUTO_TEST_CASE(util_ParseParameters)
{
TestArgsManager testArgs;
@@ -390,8 +447,8 @@ static void TestParse(const std::string& str, bool expected_bool, int64_t expect
BOOST_CHECK(test.ParseParameters(2, (char**)argv, error));
BOOST_CHECK_EQUAL(test.GetBoolArg("-value", false), expected_bool);
BOOST_CHECK_EQUAL(test.GetBoolArg("-value", true), expected_bool);
- BOOST_CHECK_EQUAL(test.GetArg("-value", 99998), expected_int);
- BOOST_CHECK_EQUAL(test.GetArg("-value", 99999), expected_int);
+ BOOST_CHECK_EQUAL(test.GetIntArg("-value", 99998), expected_int);
+ BOOST_CHECK_EQUAL(test.GetIntArg("-value", 99999), expected_int);
}
// Test bool and int parsing.
@@ -742,9 +799,9 @@ BOOST_AUTO_TEST_CASE(util_GetArg)
BOOST_CHECK_EQUAL(testArgs.GetArg("strtest1", "default"), "string...");
BOOST_CHECK_EQUAL(testArgs.GetArg("strtest2", "default"), "default");
- BOOST_CHECK_EQUAL(testArgs.GetArg("inttest1", -1), 12345);
- BOOST_CHECK_EQUAL(testArgs.GetArg("inttest2", -1), 81985529216486895LL);
- BOOST_CHECK_EQUAL(testArgs.GetArg("inttest3", -1), -1);
+ BOOST_CHECK_EQUAL(testArgs.GetIntArg("inttest1", -1), 12345);
+ BOOST_CHECK_EQUAL(testArgs.GetIntArg("inttest2", -1), 81985529216486895LL);
+ BOOST_CHECK_EQUAL(testArgs.GetIntArg("inttest3", -1), -1);
BOOST_CHECK_EQUAL(testArgs.GetBoolArg("booltest1", false), true);
BOOST_CHECK_EQUAL(testArgs.GetBoolArg("booltest2", false), false);
BOOST_CHECK_EQUAL(testArgs.GetBoolArg("booltest3", false), false);
@@ -1139,21 +1196,23 @@ BOOST_AUTO_TEST_CASE(util_ReadWriteSettings)
{
// Test writing setting.
TestArgsManager args1;
+ args1.ForceSetArg("-datadir", fs::PathToString(m_path_root));
args1.LockSettings([&](util::Settings& settings) { settings.rw_settings["name"] = "value"; });
args1.WriteSettingsFile();
// Test reading setting.
TestArgsManager args2;
+ args2.ForceSetArg("-datadir", fs::PathToString(m_path_root));
args2.ReadSettingsFile();
args2.LockSettings([&](util::Settings& settings) { BOOST_CHECK_EQUAL(settings.rw_settings["name"].get_str(), "value"); });
// Test error logging, and remove previously written setting.
{
ASSERT_DEBUG_LOG("Failed renaming settings file");
- fs::remove(GetDataDir() / "settings.json");
- fs::create_directory(GetDataDir() / "settings.json");
+ fs::remove(args1.GetDataDirBase() / "settings.json");
+ fs::create_directory(args1.GetDataDirBase() / "settings.json");
args2.WriteSettingsFile();
- fs::remove(GetDataDir() / "settings.json");
+ fs::remove(args1.GetDataDirBase() / "settings.json");
}
}
@@ -1194,86 +1253,71 @@ BOOST_AUTO_TEST_CASE(util_FormatMoney)
BOOST_AUTO_TEST_CASE(util_ParseMoney)
{
- CAmount ret = 0;
- BOOST_CHECK(ParseMoney("0.0", ret));
- BOOST_CHECK_EQUAL(ret, 0);
-
- BOOST_CHECK(ParseMoney("12345.6789", ret));
- BOOST_CHECK_EQUAL(ret, (COIN/10000)*123456789);
-
- BOOST_CHECK(ParseMoney("100000000.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*100000000);
- BOOST_CHECK(ParseMoney("10000000.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*10000000);
- BOOST_CHECK(ParseMoney("1000000.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*1000000);
- BOOST_CHECK(ParseMoney("100000.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*100000);
- BOOST_CHECK(ParseMoney("10000.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*10000);
- BOOST_CHECK(ParseMoney("1000.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*1000);
- BOOST_CHECK(ParseMoney("100.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*100);
- BOOST_CHECK(ParseMoney("10.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN*10);
- BOOST_CHECK(ParseMoney("1.00", ret));
- BOOST_CHECK_EQUAL(ret, COIN);
- BOOST_CHECK(ParseMoney("1", ret));
- BOOST_CHECK_EQUAL(ret, COIN);
- BOOST_CHECK(ParseMoney(" 1", ret));
- BOOST_CHECK_EQUAL(ret, COIN);
- BOOST_CHECK(ParseMoney("1 ", ret));
- BOOST_CHECK_EQUAL(ret, COIN);
- BOOST_CHECK(ParseMoney(" 1 ", ret));
- BOOST_CHECK_EQUAL(ret, COIN);
- BOOST_CHECK(ParseMoney("0.1", ret));
- BOOST_CHECK_EQUAL(ret, COIN/10);
- BOOST_CHECK(ParseMoney("0.01", ret));
- BOOST_CHECK_EQUAL(ret, COIN/100);
- BOOST_CHECK(ParseMoney("0.001", ret));
- BOOST_CHECK_EQUAL(ret, COIN/1000);
- BOOST_CHECK(ParseMoney("0.0001", ret));
- BOOST_CHECK_EQUAL(ret, COIN/10000);
- BOOST_CHECK(ParseMoney("0.00001", ret));
- BOOST_CHECK_EQUAL(ret, COIN/100000);
- BOOST_CHECK(ParseMoney("0.000001", ret));
- BOOST_CHECK_EQUAL(ret, COIN/1000000);
- BOOST_CHECK(ParseMoney("0.0000001", ret));
- BOOST_CHECK_EQUAL(ret, COIN/10000000);
- BOOST_CHECK(ParseMoney("0.00000001", ret));
- BOOST_CHECK_EQUAL(ret, COIN/100000000);
- BOOST_CHECK(ParseMoney(" 0.00000001 ", ret));
- BOOST_CHECK_EQUAL(ret, COIN/100000000);
- BOOST_CHECK(ParseMoney("0.00000001 ", ret));
- BOOST_CHECK_EQUAL(ret, COIN/100000000);
- BOOST_CHECK(ParseMoney(" 0.00000001", ret));
- BOOST_CHECK_EQUAL(ret, COIN/100000000);
-
- // Parsing amount that can not be represented in ret should fail
- BOOST_CHECK(!ParseMoney("0.000000001", ret));
+ BOOST_CHECK_EQUAL(ParseMoney("0.0").value(), 0);
+ BOOST_CHECK_EQUAL(ParseMoney(".").value(), 0);
+ BOOST_CHECK_EQUAL(ParseMoney("0.").value(), 0);
+ BOOST_CHECK_EQUAL(ParseMoney(".0").value(), 0);
+ BOOST_CHECK_EQUAL(ParseMoney(".6789").value(), 6789'0000);
+ BOOST_CHECK_EQUAL(ParseMoney("12345.").value(), COIN * 12345);
+
+ BOOST_CHECK_EQUAL(ParseMoney("12345.6789").value(), (COIN/10000)*123456789);
+
+ BOOST_CHECK_EQUAL(ParseMoney("10000000.00").value(), COIN*10000000);
+ BOOST_CHECK_EQUAL(ParseMoney("1000000.00").value(), COIN*1000000);
+ BOOST_CHECK_EQUAL(ParseMoney("100000.00").value(), COIN*100000);
+ BOOST_CHECK_EQUAL(ParseMoney("10000.00").value(), COIN*10000);
+ BOOST_CHECK_EQUAL(ParseMoney("1000.00").value(), COIN*1000);
+ BOOST_CHECK_EQUAL(ParseMoney("100.00").value(), COIN*100);
+ BOOST_CHECK_EQUAL(ParseMoney("10.00").value(), COIN*10);
+ BOOST_CHECK_EQUAL(ParseMoney("1.00").value(), COIN);
+ BOOST_CHECK_EQUAL(ParseMoney("1").value(), COIN);
+ BOOST_CHECK_EQUAL(ParseMoney(" 1").value(), COIN);
+ BOOST_CHECK_EQUAL(ParseMoney("1 ").value(), COIN);
+ BOOST_CHECK_EQUAL(ParseMoney(" 1 ").value(), COIN);
+ BOOST_CHECK_EQUAL(ParseMoney("0.1").value(), COIN/10);
+ BOOST_CHECK_EQUAL(ParseMoney("0.01").value(), COIN/100);
+ BOOST_CHECK_EQUAL(ParseMoney("0.001").value(), COIN/1000);
+ BOOST_CHECK_EQUAL(ParseMoney("0.0001").value(), COIN/10000);
+ BOOST_CHECK_EQUAL(ParseMoney("0.00001").value(), COIN/100000);
+ BOOST_CHECK_EQUAL(ParseMoney("0.000001").value(), COIN/1000000);
+ BOOST_CHECK_EQUAL(ParseMoney("0.0000001").value(), COIN/10000000);
+ BOOST_CHECK_EQUAL(ParseMoney("0.00000001").value(), COIN/100000000);
+ BOOST_CHECK_EQUAL(ParseMoney(" 0.00000001 ").value(), COIN/100000000);
+ BOOST_CHECK_EQUAL(ParseMoney("0.00000001 ").value(), COIN/100000000);
+ BOOST_CHECK_EQUAL(ParseMoney(" 0.00000001").value(), COIN/100000000);
+
+ // Parsing amount that can not be represented should fail
+ BOOST_CHECK(!ParseMoney("100000000.00"));
+ BOOST_CHECK(!ParseMoney("0.000000001"));
// Parsing empty string should fail
- BOOST_CHECK(!ParseMoney("", ret));
- BOOST_CHECK(!ParseMoney(" ", ret));
- BOOST_CHECK(!ParseMoney(" ", ret));
+ BOOST_CHECK(!ParseMoney(""));
+ BOOST_CHECK(!ParseMoney(" "));
+ BOOST_CHECK(!ParseMoney(" "));
// Parsing two numbers should fail
- BOOST_CHECK(!ParseMoney("1 2", ret));
- BOOST_CHECK(!ParseMoney(" 1 2 ", ret));
- BOOST_CHECK(!ParseMoney(" 1.2 3 ", ret));
- BOOST_CHECK(!ParseMoney(" 1 2.3 ", ret));
+ BOOST_CHECK(!ParseMoney(".."));
+ BOOST_CHECK(!ParseMoney("0..0"));
+ BOOST_CHECK(!ParseMoney("1 2"));
+ BOOST_CHECK(!ParseMoney(" 1 2 "));
+ BOOST_CHECK(!ParseMoney(" 1.2 3 "));
+ BOOST_CHECK(!ParseMoney(" 1 2.3 "));
+
+ // Embedded whitespace should fail
+ BOOST_CHECK(!ParseMoney(" -1 .2 "));
+ BOOST_CHECK(!ParseMoney(" 1 .2 "));
+ BOOST_CHECK(!ParseMoney(" +1 .2 "));
// Attempted 63 bit overflow should fail
- BOOST_CHECK(!ParseMoney("92233720368.54775808", ret));
+ BOOST_CHECK(!ParseMoney("92233720368.54775808"));
// Parsing negative amounts must fail
- BOOST_CHECK(!ParseMoney("-1", ret));
+ BOOST_CHECK(!ParseMoney("-1"));
// Parsing strings with embedded NUL characters should fail
- BOOST_CHECK(!ParseMoney("\0-1"s, ret));
- BOOST_CHECK(!ParseMoney("\0" "1"s, ret));
- BOOST_CHECK(!ParseMoney("1\0"s, ret));
+ BOOST_CHECK(!ParseMoney("\0-1"s));
+ BOOST_CHECK(!ParseMoney(STRING_WITH_EMBEDDED_NULL_CHAR));
+ BOOST_CHECK(!ParseMoney("1\0"s));
}
BOOST_AUTO_TEST_CASE(util_IsHex)
@@ -1423,6 +1467,38 @@ BOOST_AUTO_TEST_CASE(test_IsDigit)
BOOST_CHECK_EQUAL(IsDigit(9), false);
}
+/* Check for overflow */
+template <typename T>
+static void TestAddMatrixOverflow()
+{
+ constexpr T MAXI{std::numeric_limits<T>::max()};
+ BOOST_CHECK(!CheckedAdd(T{1}, MAXI));
+ BOOST_CHECK(!CheckedAdd(MAXI, MAXI));
+ BOOST_CHECK_EQUAL(0, CheckedAdd(T{0}, T{0}).value());
+ BOOST_CHECK_EQUAL(MAXI, CheckedAdd(T{0}, MAXI).value());
+ BOOST_CHECK_EQUAL(MAXI, CheckedAdd(T{1}, MAXI - 1).value());
+}
+
+/* Check for overflow or underflow */
+template <typename T>
+static void TestAddMatrix()
+{
+ TestAddMatrixOverflow<T>();
+ constexpr T MINI{std::numeric_limits<T>::min()};
+ constexpr T MAXI{std::numeric_limits<T>::max()};
+ BOOST_CHECK(!CheckedAdd(T{-1}, MINI));
+ BOOST_CHECK(!CheckedAdd(MINI, MINI));
+ BOOST_CHECK_EQUAL(MINI, CheckedAdd(T{0}, MINI).value());
+ BOOST_CHECK_EQUAL(MINI, CheckedAdd(T{-1}, MINI + 1).value());
+ BOOST_CHECK_EQUAL(-1, CheckedAdd(MINI, MAXI).value());
+}
+
+BOOST_AUTO_TEST_CASE(util_overflow)
+{
+ TestAddMatrixOverflow<unsigned>();
+ TestAddMatrix<signed>();
+}
+
BOOST_AUTO_TEST_CASE(test_ParseInt32)
{
int32_t n;
@@ -1449,10 +1525,7 @@ BOOST_AUTO_TEST_CASE(test_ParseInt32)
BOOST_CHECK(!ParseInt32("1a", &n));
BOOST_CHECK(!ParseInt32("aap", &n));
BOOST_CHECK(!ParseInt32("0x1", &n)); // no hex
- BOOST_CHECK(!ParseInt32("0x1", &n)); // no hex
- const char test_bytes[] = {'1', 0, '1'};
- std::string teststr(test_bytes, sizeof(test_bytes));
- BOOST_CHECK(!ParseInt32(teststr, &n)); // no embedded NULs
+ BOOST_CHECK(!ParseInt32(STRING_WITH_EMBEDDED_NULL_CHAR, &n));
// Overflow and underflow
BOOST_CHECK(!ParseInt32("-2147483649", nullptr));
BOOST_CHECK(!ParseInt32("2147483648", nullptr));
@@ -1460,6 +1533,193 @@ BOOST_AUTO_TEST_CASE(test_ParseInt32)
BOOST_CHECK(!ParseInt32("32482348723847471234", nullptr));
}
+template <typename T>
+static void RunToIntegralTests()
+{
+ BOOST_CHECK(!ToIntegral<T>(STRING_WITH_EMBEDDED_NULL_CHAR));
+ BOOST_CHECK(!ToIntegral<T>(" 1"));
+ BOOST_CHECK(!ToIntegral<T>("1 "));
+ BOOST_CHECK(!ToIntegral<T>("1a"));
+ BOOST_CHECK(!ToIntegral<T>("1.1"));
+ BOOST_CHECK(!ToIntegral<T>("1.9"));
+ BOOST_CHECK(!ToIntegral<T>("+01.9"));
+ BOOST_CHECK(!ToIntegral<T>("-"));
+ BOOST_CHECK(!ToIntegral<T>("+"));
+ BOOST_CHECK(!ToIntegral<T>(" -1"));
+ BOOST_CHECK(!ToIntegral<T>("-1 "));
+ BOOST_CHECK(!ToIntegral<T>(" -1 "));
+ BOOST_CHECK(!ToIntegral<T>("+1"));
+ BOOST_CHECK(!ToIntegral<T>(" +1"));
+ BOOST_CHECK(!ToIntegral<T>(" +1 "));
+ BOOST_CHECK(!ToIntegral<T>("+-1"));
+ BOOST_CHECK(!ToIntegral<T>("-+1"));
+ BOOST_CHECK(!ToIntegral<T>("++1"));
+ BOOST_CHECK(!ToIntegral<T>("--1"));
+ BOOST_CHECK(!ToIntegral<T>(""));
+ BOOST_CHECK(!ToIntegral<T>("aap"));
+ BOOST_CHECK(!ToIntegral<T>("0x1"));
+ BOOST_CHECK(!ToIntegral<T>("-32482348723847471234"));
+ BOOST_CHECK(!ToIntegral<T>("32482348723847471234"));
+}
+
+BOOST_AUTO_TEST_CASE(test_ToIntegral)
+{
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("1234").value(), 1'234);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("0").value(), 0);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("01234").value(), 1'234);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("00000000000000001234").value(), 1'234);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("-00000000000000001234").value(), -1'234);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("00000000000000000000").value(), 0);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("-00000000000000000000").value(), 0);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("-1234").value(), -1'234);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("-1").value(), -1);
+
+ RunToIntegralTests<uint64_t>();
+ RunToIntegralTests<int64_t>();
+ RunToIntegralTests<uint32_t>();
+ RunToIntegralTests<int32_t>();
+ RunToIntegralTests<uint16_t>();
+ RunToIntegralTests<int16_t>();
+ RunToIntegralTests<uint8_t>();
+ RunToIntegralTests<int8_t>();
+
+ BOOST_CHECK(!ToIntegral<int64_t>("-9223372036854775809"));
+ BOOST_CHECK_EQUAL(ToIntegral<int64_t>("-9223372036854775808").value(), -9'223'372'036'854'775'807LL - 1LL);
+ BOOST_CHECK_EQUAL(ToIntegral<int64_t>("9223372036854775807").value(), 9'223'372'036'854'775'807);
+ BOOST_CHECK(!ToIntegral<int64_t>("9223372036854775808"));
+
+ BOOST_CHECK(!ToIntegral<uint64_t>("-1"));
+ BOOST_CHECK_EQUAL(ToIntegral<uint64_t>("0").value(), 0U);
+ BOOST_CHECK_EQUAL(ToIntegral<uint64_t>("18446744073709551615").value(), 18'446'744'073'709'551'615ULL);
+ BOOST_CHECK(!ToIntegral<uint64_t>("18446744073709551616"));
+
+ BOOST_CHECK(!ToIntegral<int32_t>("-2147483649"));
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("-2147483648").value(), -2'147'483'648LL);
+ BOOST_CHECK_EQUAL(ToIntegral<int32_t>("2147483647").value(), 2'147'483'647);
+ BOOST_CHECK(!ToIntegral<int32_t>("2147483648"));
+
+ BOOST_CHECK(!ToIntegral<uint32_t>("-1"));
+ BOOST_CHECK_EQUAL(ToIntegral<uint32_t>("0").value(), 0U);
+ BOOST_CHECK_EQUAL(ToIntegral<uint32_t>("4294967295").value(), 4'294'967'295U);
+ BOOST_CHECK(!ToIntegral<uint32_t>("4294967296"));
+
+ BOOST_CHECK(!ToIntegral<int16_t>("-32769"));
+ BOOST_CHECK_EQUAL(ToIntegral<int16_t>("-32768").value(), -32'768);
+ BOOST_CHECK_EQUAL(ToIntegral<int16_t>("32767").value(), 32'767);
+ BOOST_CHECK(!ToIntegral<int16_t>("32768"));
+
+ BOOST_CHECK(!ToIntegral<uint16_t>("-1"));
+ BOOST_CHECK_EQUAL(ToIntegral<uint16_t>("0").value(), 0U);
+ BOOST_CHECK_EQUAL(ToIntegral<uint16_t>("65535").value(), 65'535U);
+ BOOST_CHECK(!ToIntegral<uint16_t>("65536"));
+
+ BOOST_CHECK(!ToIntegral<int8_t>("-129"));
+ BOOST_CHECK_EQUAL(ToIntegral<int8_t>("-128").value(), -128);
+ BOOST_CHECK_EQUAL(ToIntegral<int8_t>("127").value(), 127);
+ BOOST_CHECK(!ToIntegral<int8_t>("128"));
+
+ BOOST_CHECK(!ToIntegral<uint8_t>("-1"));
+ BOOST_CHECK_EQUAL(ToIntegral<uint8_t>("0").value(), 0U);
+ BOOST_CHECK_EQUAL(ToIntegral<uint8_t>("255").value(), 255U);
+ BOOST_CHECK(!ToIntegral<uint8_t>("256"));
+}
+
+int64_t atoi64_legacy(const std::string& str)
+{
+ return strtoll(str.c_str(), nullptr, 10);
+}
+
+BOOST_AUTO_TEST_CASE(test_LocaleIndependentAtoi)
+{
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("1234"), 1'234);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("0"), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("01234"), 1'234);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("-1234"), -1'234);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>(" 1"), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("1 "), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("1a"), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("1.1"), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("1.9"), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("+01.9"), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("-1"), -1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>(" -1"), -1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("-1 "), -1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>(" -1 "), -1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("+1"), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>(" +1"), 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>(" +1 "), 1);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("+-1"), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("-+1"), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("++1"), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("--1"), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>(""), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("aap"), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("0x1"), 0);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("-32482348723847471234"), -2'147'483'647 - 1);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("32482348723847471234"), 2'147'483'647);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int64_t>("-9223372036854775809"), -9'223'372'036'854'775'807LL - 1LL);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int64_t>("-9223372036854775808"), -9'223'372'036'854'775'807LL - 1LL);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int64_t>("9223372036854775807"), 9'223'372'036'854'775'807);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int64_t>("9223372036854775808"), 9'223'372'036'854'775'807);
+
+ std::map<std::string, int64_t> atoi64_test_pairs = {
+ {"-9223372036854775809", std::numeric_limits<int64_t>::min()},
+ {"-9223372036854775808", -9'223'372'036'854'775'807LL - 1LL},
+ {"9223372036854775807", 9'223'372'036'854'775'807},
+ {"9223372036854775808", std::numeric_limits<int64_t>::max()},
+ {"+-", 0},
+ {"0x1", 0},
+ {"ox1", 0},
+ {"", 0},
+ };
+
+ for (const auto& pair : atoi64_test_pairs) {
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int64_t>(pair.first), pair.second);
+ }
+
+ // Ensure legacy compatibility with previous versions of Bitcoin Core's atoi64
+ for (const auto& pair : atoi64_test_pairs) {
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int64_t>(pair.first), atoi64_legacy(pair.first));
+ }
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint64_t>("-1"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint64_t>("0"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint64_t>("18446744073709551615"), 18'446'744'073'709'551'615ULL);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint64_t>("18446744073709551616"), 18'446'744'073'709'551'615ULL);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("-2147483649"), -2'147'483'648LL);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("-2147483648"), -2'147'483'648LL);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("2147483647"), 2'147'483'647);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int32_t>("2147483648"), 2'147'483'647);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint32_t>("-1"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint32_t>("0"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint32_t>("4294967295"), 4'294'967'295U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint32_t>("4294967296"), 4'294'967'295U);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int16_t>("-32769"), -32'768);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int16_t>("-32768"), -32'768);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int16_t>("32767"), 32'767);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int16_t>("32768"), 32'767);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint16_t>("-1"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint16_t>("0"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint16_t>("65535"), 65'535U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint16_t>("65536"), 65'535U);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int8_t>("-129"), -128);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int8_t>("-128"), -128);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int8_t>("127"), 127);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<int8_t>("128"), 127);
+
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint8_t>("-1"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint8_t>("0"), 0U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint8_t>("255"), 255U);
+ BOOST_CHECK_EQUAL(LocaleIndependentAtoi<uint8_t>("256"), 255U);
+}
+
BOOST_AUTO_TEST_CASE(test_ParseInt64)
{
int64_t n;
@@ -1480,9 +1740,7 @@ BOOST_AUTO_TEST_CASE(test_ParseInt64)
BOOST_CHECK(!ParseInt64("1a", &n));
BOOST_CHECK(!ParseInt64("aap", &n));
BOOST_CHECK(!ParseInt64("0x1", &n)); // no hex
- const char test_bytes[] = {'1', 0, '1'};
- std::string teststr(test_bytes, sizeof(test_bytes));
- BOOST_CHECK(!ParseInt64(teststr, &n)); // no embedded NULs
+ BOOST_CHECK(!ParseInt64(STRING_WITH_EMBEDDED_NULL_CHAR, &n));
// Overflow and underflow
BOOST_CHECK(!ParseInt64("-9223372036854775809", nullptr));
BOOST_CHECK(!ParseInt64("9223372036854775808", nullptr));
@@ -1490,6 +1748,76 @@ BOOST_AUTO_TEST_CASE(test_ParseInt64)
BOOST_CHECK(!ParseInt64("32482348723847471234", nullptr));
}
+BOOST_AUTO_TEST_CASE(test_ParseUInt8)
+{
+ uint8_t n;
+ // Valid values
+ BOOST_CHECK(ParseUInt8("255", nullptr));
+ BOOST_CHECK(ParseUInt8("0", &n) && n == 0);
+ BOOST_CHECK(ParseUInt8("255", &n) && n == 255);
+ BOOST_CHECK(ParseUInt8("0255", &n) && n == 255); // no octal
+ BOOST_CHECK(ParseUInt8("255", &n) && n == static_cast<uint8_t>(255));
+ BOOST_CHECK(ParseUInt8("+255", &n) && n == 255);
+ BOOST_CHECK(ParseUInt8("00000000000000000012", &n) && n == 12);
+ BOOST_CHECK(ParseUInt8("00000000000000000000", &n) && n == 0);
+ // Invalid values
+ BOOST_CHECK(!ParseUInt8("-00000000000000000000", &n));
+ BOOST_CHECK(!ParseUInt8("", &n));
+ BOOST_CHECK(!ParseUInt8(" 1", &n)); // no padding inside
+ BOOST_CHECK(!ParseUInt8(" -1", &n));
+ BOOST_CHECK(!ParseUInt8("++1", &n));
+ BOOST_CHECK(!ParseUInt8("+-1", &n));
+ BOOST_CHECK(!ParseUInt8("-+1", &n));
+ BOOST_CHECK(!ParseUInt8("--1", &n));
+ BOOST_CHECK(!ParseUInt8("-1", &n));
+ BOOST_CHECK(!ParseUInt8("1 ", &n));
+ BOOST_CHECK(!ParseUInt8("1a", &n));
+ BOOST_CHECK(!ParseUInt8("aap", &n));
+ BOOST_CHECK(!ParseUInt8("0x1", &n)); // no hex
+ BOOST_CHECK(!ParseUInt8(STRING_WITH_EMBEDDED_NULL_CHAR, &n));
+ // Overflow and underflow
+ BOOST_CHECK(!ParseUInt8("-255", &n));
+ BOOST_CHECK(!ParseUInt8("256", &n));
+ BOOST_CHECK(!ParseUInt8("-123", &n));
+ BOOST_CHECK(!ParseUInt8("-123", nullptr));
+ BOOST_CHECK(!ParseUInt8("256", nullptr));
+}
+
+BOOST_AUTO_TEST_CASE(test_ParseUInt16)
+{
+ uint16_t n;
+ // Valid values
+ BOOST_CHECK(ParseUInt16("1234", nullptr));
+ BOOST_CHECK(ParseUInt16("0", &n) && n == 0);
+ BOOST_CHECK(ParseUInt16("1234", &n) && n == 1234);
+ BOOST_CHECK(ParseUInt16("01234", &n) && n == 1234); // no octal
+ BOOST_CHECK(ParseUInt16("65535", &n) && n == static_cast<uint16_t>(65535));
+ BOOST_CHECK(ParseUInt16("+65535", &n) && n == 65535);
+ BOOST_CHECK(ParseUInt16("00000000000000000012", &n) && n == 12);
+ BOOST_CHECK(ParseUInt16("00000000000000000000", &n) && n == 0);
+ // Invalid values
+ BOOST_CHECK(!ParseUInt16("-00000000000000000000", &n));
+ BOOST_CHECK(!ParseUInt16("", &n));
+ BOOST_CHECK(!ParseUInt16(" 1", &n)); // no padding inside
+ BOOST_CHECK(!ParseUInt16(" -1", &n));
+ BOOST_CHECK(!ParseUInt16("++1", &n));
+ BOOST_CHECK(!ParseUInt16("+-1", &n));
+ BOOST_CHECK(!ParseUInt16("-+1", &n));
+ BOOST_CHECK(!ParseUInt16("--1", &n));
+ BOOST_CHECK(!ParseUInt16("-1", &n));
+ BOOST_CHECK(!ParseUInt16("1 ", &n));
+ BOOST_CHECK(!ParseUInt16("1a", &n));
+ BOOST_CHECK(!ParseUInt16("aap", &n));
+ BOOST_CHECK(!ParseUInt16("0x1", &n)); // no hex
+ BOOST_CHECK(!ParseUInt16(STRING_WITH_EMBEDDED_NULL_CHAR, &n));
+ // Overflow and underflow
+ BOOST_CHECK(!ParseUInt16("-65535", &n));
+ BOOST_CHECK(!ParseUInt16("65536", &n));
+ BOOST_CHECK(!ParseUInt16("-123", &n));
+ BOOST_CHECK(!ParseUInt16("-123", nullptr));
+ BOOST_CHECK(!ParseUInt16("65536", nullptr));
+}
+
BOOST_AUTO_TEST_CASE(test_ParseUInt32)
{
uint32_t n;
@@ -1518,10 +1846,7 @@ BOOST_AUTO_TEST_CASE(test_ParseUInt32)
BOOST_CHECK(!ParseUInt32("1a", &n));
BOOST_CHECK(!ParseUInt32("aap", &n));
BOOST_CHECK(!ParseUInt32("0x1", &n)); // no hex
- BOOST_CHECK(!ParseUInt32("0x1", &n)); // no hex
- const char test_bytes[] = {'1', 0, '1'};
- std::string teststr(test_bytes, sizeof(test_bytes));
- BOOST_CHECK(!ParseUInt32(teststr, &n)); // no embedded NULs
+ BOOST_CHECK(!ParseUInt32(STRING_WITH_EMBEDDED_NULL_CHAR, &n));
// Overflow and underflow
BOOST_CHECK(!ParseUInt32("-2147483648", &n));
BOOST_CHECK(!ParseUInt32("4294967296", &n));
@@ -1550,9 +1875,7 @@ BOOST_AUTO_TEST_CASE(test_ParseUInt64)
BOOST_CHECK(!ParseUInt64("1a", &n));
BOOST_CHECK(!ParseUInt64("aap", &n));
BOOST_CHECK(!ParseUInt64("0x1", &n)); // no hex
- const char test_bytes[] = {'1', 0, '1'};
- std::string teststr(test_bytes, sizeof(test_bytes));
- BOOST_CHECK(!ParseUInt64(teststr, &n)); // no embedded NULs
+ BOOST_CHECK(!ParseUInt64(STRING_WITH_EMBEDDED_NULL_CHAR, &n));
// Overflow and underflow
BOOST_CHECK(!ParseUInt64("-9223372036854775809", nullptr));
BOOST_CHECK(!ParseUInt64("18446744073709551616", nullptr));
@@ -1562,34 +1885,6 @@ BOOST_AUTO_TEST_CASE(test_ParseUInt64)
BOOST_CHECK(!ParseUInt64("-1234", &n));
}
-BOOST_AUTO_TEST_CASE(test_ParseDouble)
-{
- double n;
- // Valid values
- BOOST_CHECK(ParseDouble("1234", nullptr));
- BOOST_CHECK(ParseDouble("0", &n) && n == 0.0);
- BOOST_CHECK(ParseDouble("1234", &n) && n == 1234.0);
- BOOST_CHECK(ParseDouble("01234", &n) && n == 1234.0); // no octal
- BOOST_CHECK(ParseDouble("2147483647", &n) && n == 2147483647.0);
- BOOST_CHECK(ParseDouble("-2147483648", &n) && n == -2147483648.0);
- BOOST_CHECK(ParseDouble("-1234", &n) && n == -1234.0);
- BOOST_CHECK(ParseDouble("1e6", &n) && n == 1e6);
- BOOST_CHECK(ParseDouble("-1e6", &n) && n == -1e6);
- // Invalid values
- BOOST_CHECK(!ParseDouble("", &n));
- BOOST_CHECK(!ParseDouble(" 1", &n)); // no padding inside
- BOOST_CHECK(!ParseDouble("1 ", &n));
- BOOST_CHECK(!ParseDouble("1a", &n));
- BOOST_CHECK(!ParseDouble("aap", &n));
- BOOST_CHECK(!ParseDouble("0x1", &n)); // no hex
- const char test_bytes[] = {'1', 0, '1'};
- std::string teststr(test_bytes, sizeof(test_bytes));
- BOOST_CHECK(!ParseDouble(teststr, &n)); // no embedded NULs
- // Overflow and underflow
- BOOST_CHECK(!ParseDouble("-1e10000", nullptr));
- BOOST_CHECK(!ParseDouble("1e10000", nullptr));
-}
-
BOOST_AUTO_TEST_CASE(test_FormatParagraph)
{
BOOST_CHECK_EQUAL(FormatParagraph("", 79, 0), "");
@@ -1692,6 +1987,15 @@ BOOST_AUTO_TEST_CASE(test_ParseFixedPoint)
BOOST_CHECK(!ParseFixedPoint("1.1e", 8, &amount));
BOOST_CHECK(!ParseFixedPoint("1.1e-", 8, &amount));
BOOST_CHECK(!ParseFixedPoint("1.", 8, &amount));
+
+ // Test with 3 decimal places for fee rates in sat/vB.
+ BOOST_CHECK(ParseFixedPoint("0.001", 3, &amount));
+ BOOST_CHECK_EQUAL(amount, CAmount{1});
+ BOOST_CHECK(!ParseFixedPoint("0.0009", 3, &amount));
+ BOOST_CHECK(!ParseFixedPoint("31.00100001", 3, &amount));
+ BOOST_CHECK(!ParseFixedPoint("31.0011", 3, &amount));
+ BOOST_CHECK(!ParseFixedPoint("31.99999999", 3, &amount));
+ BOOST_CHECK(!ParseFixedPoint("31.999999999999999999999", 3, &amount));
}
static void TestOtherThread(fs::path dirname, std::string lockname, bool *result)
@@ -1704,7 +2008,7 @@ static constexpr char LockCommand = 'L';
static constexpr char UnlockCommand = 'U';
static constexpr char ExitCommand = 'X';
-static void TestOtherProcess(fs::path dirname, std::string lockname, int fd)
+[[noreturn]] static void TestOtherProcess(fs::path dirname, std::string lockname, int fd)
{
char ch;
while (true) {
@@ -1734,7 +2038,7 @@ static void TestOtherProcess(fs::path dirname, std::string lockname, int fd)
BOOST_AUTO_TEST_CASE(test_LockDirectory)
{
- fs::path dirname = GetDataDir() / "lock_dir";
+ fs::path dirname = m_args.GetDataDirBase() / "lock_dir";
const std::string lockname = ".lock";
#ifndef WIN32
// Revert SIGCHLD to default, otherwise boost.test will catch and fail on
@@ -1823,7 +2127,7 @@ BOOST_AUTO_TEST_CASE(test_LockDirectory)
BOOST_AUTO_TEST_CASE(test_DirIsWritable)
{
// Should be able to write to the data dir.
- fs::path tmpdirname = GetDataDir();
+ fs::path tmpdirname = m_args.GetDataDirBase();
BOOST_CHECK_EQUAL(DirIsWritable(tmpdirname), true);
// Should not be able to write to a non-existent dir.
@@ -2224,4 +2528,52 @@ BOOST_AUTO_TEST_CASE(remove_prefix)
BOOST_CHECK_EQUAL(RemovePrefix("", ""), "");
}
+BOOST_AUTO_TEST_CASE(util_ParseByteUnits)
+{
+ auto noop = ByteUnit::NOOP;
+
+ // no multiplier
+ BOOST_CHECK_EQUAL(ParseByteUnits("1", noop).value(), 1);
+ BOOST_CHECK_EQUAL(ParseByteUnits("0", noop).value(), 0);
+
+ BOOST_CHECK_EQUAL(ParseByteUnits("1k", noop).value(), 1000ULL);
+ BOOST_CHECK_EQUAL(ParseByteUnits("1K", noop).value(), 1ULL << 10);
+
+ BOOST_CHECK_EQUAL(ParseByteUnits("2m", noop).value(), 2'000'000ULL);
+ BOOST_CHECK_EQUAL(ParseByteUnits("2M", noop).value(), 2ULL << 20);
+
+ BOOST_CHECK_EQUAL(ParseByteUnits("3g", noop).value(), 3'000'000'000ULL);
+ BOOST_CHECK_EQUAL(ParseByteUnits("3G", noop).value(), 3ULL << 30);
+
+ BOOST_CHECK_EQUAL(ParseByteUnits("4t", noop).value(), 4'000'000'000'000ULL);
+ BOOST_CHECK_EQUAL(ParseByteUnits("4T", noop).value(), 4ULL << 40);
+
+ // check default multiplier
+ BOOST_CHECK_EQUAL(ParseByteUnits("5", ByteUnit::K).value(), 5ULL << 10);
+
+ // NaN
+ BOOST_CHECK(!ParseByteUnits("", noop));
+ BOOST_CHECK(!ParseByteUnits("foo", noop));
+
+ // whitespace
+ BOOST_CHECK(!ParseByteUnits("123m ", noop));
+ BOOST_CHECK(!ParseByteUnits(" 123m", noop));
+
+ // no +-
+ BOOST_CHECK(!ParseByteUnits("-123m", noop));
+ BOOST_CHECK(!ParseByteUnits("+123m", noop));
+
+ // zero padding
+ BOOST_CHECK_EQUAL(ParseByteUnits("020M", noop).value(), 20ULL << 20);
+
+ // fractions not allowed
+ BOOST_CHECK(!ParseByteUnits("0.5T", noop));
+
+ // overflow
+ BOOST_CHECK(!ParseByteUnits("18446744073709551615g", noop));
+
+ // invalid unit
+ BOOST_CHECK(!ParseByteUnits("1x", noop));
+}
+
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/util_threadnames_tests.cpp b/src/test/util_threadnames_tests.cpp
index f3f9fb2bff..dbb5423a77 100644
--- a/src/test/util_threadnames_tests.cpp
+++ b/src/test/util_threadnames_tests.cpp
@@ -1,13 +1,13 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <test/util/setup_common.h>
#include <util/string.h>
#include <util/threadnames.h>
#include <mutex>
#include <set>
+#include <string>
#include <thread>
#include <vector>
@@ -17,7 +17,7 @@
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(util_threadnames_tests, BasicTestingSetup)
+BOOST_AUTO_TEST_SUITE(util_threadnames_tests)
const std::string TEST_THREAD_NAME_BASE = "test_thread.";
diff --git a/src/test/validation_block_tests.cpp b/src/test/validation_block_tests.cpp
index 0c87c4d360..c5b1dabcb7 100644
--- a/src/test/validation_block_tests.cpp
+++ b/src/test/validation_block_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,7 +7,7 @@
#include <chainparams.h>
#include <consensus/merkle.h>
#include <consensus/validation.h>
-#include <miner.h>
+#include <node/miner.h>
#include <pow.h>
#include <random.h>
#include <script/standard.h>
@@ -19,6 +19,8 @@
#include <thread>
+using node::BlockAssembler;
+
namespace validation_block_tests {
struct MinerTestingSetup : public RegTestingSetup {
std::shared_ptr<CBlock> Block(const uint256& prev_hash);
@@ -63,7 +65,7 @@ std::shared_ptr<CBlock> MinerTestingSetup::Block(const uint256& prev_hash)
static int i = 0;
static uint64_t time = Params().GenesisBlock().nTime;
- auto ptemplate = BlockAssembler(*m_node.mempool, Params()).CreateNewBlock(CScript{} << i++ << OP_TRUE);
+ auto ptemplate = BlockAssembler(m_node.chainman->ActiveChainstate(), *m_node.mempool, Params()).CreateNewBlock(CScript{} << i++ << OP_TRUE);
auto pblock = std::make_shared<CBlock>(ptemplate->block);
pblock->hashPrevBlock = prev_hash;
pblock->nTime = ++time;
@@ -77,6 +79,8 @@ std::shared_ptr<CBlock> MinerTestingSetup::Block(const uint256& prev_hash)
txCoinbase.vout[1].nValue = txCoinbase.vout[0].nValue;
txCoinbase.vout[0].nValue = 0;
txCoinbase.vin[0].scriptWitness.SetNull();
+ // Always pad with OP_0 at the end to avoid bad-cb-length error
+ txCoinbase.vin[0].scriptSig = CScript{} << WITH_LOCK(::cs_main, return m_node.chainman->m_blockman.LookupBlockIndex(prev_hash)->nHeight + 1) << OP_0;
pblock->vtx[0] = MakeTransactionRef(std::move(txCoinbase));
return pblock;
@@ -84,8 +88,8 @@ std::shared_ptr<CBlock> MinerTestingSetup::Block(const uint256& prev_hash)
std::shared_ptr<CBlock> MinerTestingSetup::FinalizeBlock(std::shared_ptr<CBlock> pblock)
{
- LOCK(cs_main); // For g_chainman.m_blockman.LookupBlockIndex
- GenerateCoinbaseCommitment(*pblock, g_chainman.m_blockman.LookupBlockIndex(pblock->hashPrevBlock), Params().GetConsensus());
+ const CBlockIndex* prev_block{WITH_LOCK(::cs_main, return m_node.chainman->m_blockman.LookupBlockIndex(pblock->hashPrevBlock))};
+ GenerateCoinbaseCommitment(*pblock, prev_block, Params().GetConsensus());
pblock->hashMerkleRoot = BlockMerkleRoot(*pblock);
@@ -93,6 +97,11 @@ std::shared_ptr<CBlock> MinerTestingSetup::FinalizeBlock(std::shared_ptr<CBlock>
++(pblock->nNonce);
}
+ // submit block header, so that miner can get the block height from the
+ // global state and the node has the topology of the chain
+ BlockValidationState ignored;
+ BOOST_CHECK(Assert(m_node.chainman)->ProcessNewBlockHeaders({pblock->GetBlockHeader()}, ignored, Params()));
+
return pblock;
}
@@ -147,13 +156,6 @@ BOOST_AUTO_TEST_CASE(processnewblock_signals_ordering)
}
bool ignored;
- BlockValidationState state;
- std::vector<CBlockHeader> headers;
- std::transform(blocks.begin(), blocks.end(), std::back_inserter(headers), [](std::shared_ptr<const CBlock> b) { return b->GetBlockHeader(); });
-
- // Process all the headers so we understand the toplogy of the chain
- BOOST_CHECK(Assert(m_node.chainman)->ProcessNewBlockHeaders(headers, state, Params()));
-
// Connect the genesis block and drain any outstanding events
BOOST_CHECK(Assert(m_node.chainman)->ProcessNewBlock(Params(), std::make_shared<CBlock>(Params().GenesisBlock()), true, &ignored));
SyncWithValidationInterfaceQueue();
@@ -162,7 +164,7 @@ BOOST_AUTO_TEST_CASE(processnewblock_signals_ordering)
const CBlockIndex* initial_tip = nullptr;
{
LOCK(cs_main);
- initial_tip = ::ChainActive().Tip();
+ initial_tip = m_node.chainman->ActiveChain().Tip();
}
auto sub = std::make_shared<TestSubscriber>(initial_tip->GetBlockHash());
RegisterSharedValidationInterface(sub);
@@ -198,7 +200,7 @@ BOOST_AUTO_TEST_CASE(processnewblock_signals_ordering)
UnregisterSharedValidationInterface(sub);
LOCK(cs_main);
- BOOST_CHECK_EQUAL(sub->m_expected_tip, ::ChainActive().Tip()->GetBlockHash());
+ BOOST_CHECK_EQUAL(sub->m_expected_tip, m_node.chainman->ActiveChain().Tip()->GetBlockHash());
}
/**
@@ -222,7 +224,7 @@ BOOST_AUTO_TEST_CASE(mempool_locks_reorg)
{
bool ignored;
auto ProcessBlock = [&](std::shared_ptr<const CBlock> block) -> bool {
- return Assert(m_node.chainman)->ProcessNewBlock(Params(), block, /* fForceProcessing */ true, /* fNewBlock */ &ignored);
+ return Assert(m_node.chainman)->ProcessNewBlock(Params(), block, /*force_processing=*/true, /*new_block=*/&ignored);
};
// Process all mined blocks
@@ -232,7 +234,7 @@ BOOST_AUTO_TEST_CASE(mempool_locks_reorg)
// Run the test multiple times
for (int test_runs = 3; test_runs > 0; --test_runs) {
- BOOST_CHECK_EQUAL(last_mined->GetHash(), ::ChainActive().Tip()->GetBlockHash());
+ BOOST_CHECK_EQUAL(last_mined->GetHash(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
// Later on split from here
const uint256 split_hash{last_mined->hashPrevBlock};
@@ -273,7 +275,7 @@ BOOST_AUTO_TEST_CASE(mempool_locks_reorg)
{
LOCK(cs_main);
for (const auto& tx : txs) {
- const MempoolAcceptResult result = AcceptToMemoryPool(::ChainstateActive(), *m_node.mempool, tx, false /* bypass_limits */);
+ const MempoolAcceptResult result = m_node.chainman->ProcessTransaction(tx);
BOOST_REQUIRE(result.m_result_type == MempoolAcceptResult::ResultType::VALID);
}
}
@@ -306,7 +308,7 @@ BOOST_AUTO_TEST_CASE(mempool_locks_reorg)
}
LOCK(cs_main);
// We are done with the reorg, so the tip must have changed
- assert(tip_init != ::ChainActive().Tip()->GetBlockHash());
+ assert(tip_init != m_node.chainman->ActiveChain().Tip()->GetBlockHash());
}};
// Submit the reorg in this thread to invalidate and remove the txs from the tx pool
@@ -314,7 +316,7 @@ BOOST_AUTO_TEST_CASE(mempool_locks_reorg)
ProcessBlock(b);
}
// Check that the reorg was eventually successful
- BOOST_CHECK_EQUAL(last_mined->GetHash(), ::ChainActive().Tip()->GetBlockHash());
+ BOOST_CHECK_EQUAL(last_mined->GetHash(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
// We can join the other thread, which returns when the reorg was successful
rpc_thread.join();
@@ -325,7 +327,7 @@ BOOST_AUTO_TEST_CASE(witness_commitment_index)
{
CScript pubKey;
pubKey << 1 << OP_TRUE;
- auto ptemplate = BlockAssembler(*m_node.mempool, Params()).CreateNewBlock(pubKey);
+ auto ptemplate = BlockAssembler(m_node.chainman->ActiveChainstate(), *m_node.mempool, Params()).CreateNewBlock(pubKey);
CBlock pblock = ptemplate->block;
CTxOut witness;
diff --git a/src/test/validation_chainstate_tests.cpp b/src/test/validation_chainstate_tests.cpp
index 92d8cf2e7d..1beef5cf04 100644
--- a/src/test/validation_chainstate_tests.cpp
+++ b/src/test/validation_chainstate_tests.cpp
@@ -1,11 +1,14 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
//
+#include <chainparams.h>
#include <random.h>
#include <uint256.h>
#include <consensus/validation.h>
#include <sync.h>
+#include <rpc/blockchain.h>
+#include <test/util/chainstate.h>
#include <test/util/setup_common.h>
#include <validation.h>
@@ -20,6 +23,7 @@ BOOST_FIXTURE_TEST_SUITE(validation_chainstate_tests, TestingSetup)
BOOST_AUTO_TEST_CASE(validation_chainstate_resize_caches)
{
ChainstateManager manager;
+ WITH_LOCK(::cs_main, manager.m_blockman.m_block_tree_db = std::make_unique<CBlockTreeDB>(1 << 20, true));
CTxMemPool mempool;
//! Create and add a Coin with DynamicMemoryUsage of 80 bytes to the given view.
@@ -35,10 +39,11 @@ BOOST_AUTO_TEST_CASE(validation_chainstate_resize_caches)
return outp;
};
- CChainState& c1 = WITH_LOCK(cs_main, return manager.InitializeChainstate(mempool));
+ CChainState& c1 = WITH_LOCK(cs_main, return manager.InitializeChainstate(&mempool));
c1.InitCoinsDB(
- /* cache_size_bytes */ 1 << 23, /* in_memory */ true, /* should_wipe */ false);
+ /*cache_size_bytes=*/1 << 23, /*in_memory=*/true, /*should_wipe=*/false);
WITH_LOCK(::cs_main, c1.InitCoinsCache(1 << 23));
+ BOOST_REQUIRE(c1.LoadGenesisBlock()); // Need at least one block loaded to be able to flush caches
// Add a coin to the in-memory cache, upsize once, then downsize.
{
@@ -72,4 +77,78 @@ BOOST_AUTO_TEST_CASE(validation_chainstate_resize_caches)
WITH_LOCK(::cs_main, manager.Unload());
}
+//! Test UpdateTip behavior for both active and background chainstates.
+//!
+//! When run on the background chainstate, UpdateTip should do a subset
+//! of what it does for the active chainstate.
+BOOST_FIXTURE_TEST_CASE(chainstate_update_tip, TestChain100Setup)
+{
+ ChainstateManager& chainman = *Assert(m_node.chainman);
+ uint256 curr_tip = ::g_best_block;
+
+ // Mine 10 more blocks, putting at us height 110 where a valid assumeutxo value can
+ // be found.
+ mineBlocks(10);
+
+ // After adding some blocks to the tip, best block should have changed.
+ BOOST_CHECK(::g_best_block != curr_tip);
+
+ BOOST_REQUIRE(CreateAndActivateUTXOSnapshot(m_node, m_path_root));
+
+ // Ensure our active chain is the snapshot chainstate.
+ BOOST_CHECK(chainman.IsSnapshotActive());
+
+ curr_tip = ::g_best_block;
+
+ // Mine a new block on top of the activated snapshot chainstate.
+ mineBlocks(1); // Defined in TestChain100Setup.
+
+ // After adding some blocks to the snapshot tip, best block should have changed.
+ BOOST_CHECK(::g_best_block != curr_tip);
+
+ curr_tip = ::g_best_block;
+
+ BOOST_CHECK_EQUAL(chainman.GetAll().size(), 2);
+
+ CChainState& background_cs{*[&] {
+ for (CChainState* cs : chainman.GetAll()) {
+ if (cs != &chainman.ActiveChainstate()) {
+ return cs;
+ }
+ }
+ assert(false);
+ }()};
+
+ // Create a block to append to the validation chain.
+ std::vector<CMutableTransaction> noTxns;
+ CScript scriptPubKey = CScript() << ToByteVector(coinbaseKey.GetPubKey()) << OP_CHECKSIG;
+ CBlock validation_block = this->CreateBlock(noTxns, scriptPubKey, background_cs);
+ auto pblock = std::make_shared<const CBlock>(validation_block);
+ BlockValidationState state;
+ CBlockIndex* pindex = nullptr;
+ const CChainParams& chainparams = Params();
+ bool newblock = false;
+
+ // TODO: much of this is inlined from ProcessNewBlock(); just reuse PNB()
+ // once it is changed to support multiple chainstates.
+ {
+ LOCK(::cs_main);
+ bool checked = CheckBlock(*pblock, state, chainparams.GetConsensus());
+ BOOST_CHECK(checked);
+ bool accepted = background_cs.AcceptBlock(
+ pblock, state, &pindex, true, nullptr, &newblock);
+ BOOST_CHECK(accepted);
+ }
+ // UpdateTip is called here
+ bool block_added = background_cs.ActivateBestChain(state, pblock);
+
+ // Ensure tip is as expected
+ BOOST_CHECK_EQUAL(background_cs.m_chain.Tip()->GetBlockHash(), validation_block.GetHash());
+
+ // g_best_block should be unchanged after adding a block to the background
+ // validation chain.
+ BOOST_CHECK(block_added);
+ BOOST_CHECK_EQUAL(curr_tip, ::g_best_block);
+}
+
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/validation_chainstatemanager_tests.cpp b/src/test/validation_chainstatemanager_tests.cpp
index 94d4277019..26392e690d 100644
--- a/src/test/validation_chainstatemanager_tests.cpp
+++ b/src/test/validation_chainstatemanager_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
//
@@ -8,18 +8,20 @@
#include <random.h>
#include <rpc/blockchain.h>
#include <sync.h>
+#include <test/util/chainstate.h>
#include <test/util/setup_common.h>
#include <uint256.h>
#include <validation.h>
#include <validationinterface.h>
#include <tinyformat.h>
-#include <univalue.h>
#include <vector>
#include <boost/test/unit_test.hpp>
+using node::SnapshotMetadata;
+
BOOST_FIXTURE_TEST_SUITE(validation_chainstatemanager_tests, ChainTestingSetup)
//! Basic tests for ChainstateManager.
@@ -31,21 +33,19 @@ BOOST_AUTO_TEST_CASE(chainstatemanager)
CTxMemPool& mempool = *m_node.mempool;
std::vector<CChainState*> chainstates;
- const CChainParams& chainparams = Params();
BOOST_CHECK(!manager.SnapshotBlockhash().has_value());
// Create a legacy (IBD) chainstate.
//
- CChainState& c1 = WITH_LOCK(::cs_main, return manager.InitializeChainstate(mempool));
+ CChainState& c1 = WITH_LOCK(::cs_main, return manager.InitializeChainstate(&mempool));
chainstates.push_back(&c1);
c1.InitCoinsDB(
- /* cache_size_bytes */ 1 << 23, /* in_memory */ true, /* should_wipe */ false);
+ /*cache_size_bytes=*/1 << 23, /*in_memory=*/true, /*should_wipe=*/false);
WITH_LOCK(::cs_main, c1.InitCoinsCache(1 << 23));
BOOST_CHECK(!manager.IsSnapshotActive());
BOOST_CHECK(!manager.IsSnapshotValidated());
- BOOST_CHECK(!manager.IsBackgroundIBD(&c1));
auto all = manager.GetAll();
BOOST_CHECK_EQUAL_COLLECTIONS(all.begin(), all.end(), chainstates.begin(), chainstates.end());
@@ -58,32 +58,29 @@ BOOST_AUTO_TEST_CASE(chainstatemanager)
auto exp_tip = c1.m_chain.Tip();
BOOST_CHECK_EQUAL(active_tip, exp_tip);
- auto& validated_cs = manager.ValidatedChainstate();
- BOOST_CHECK_EQUAL(&validated_cs, &c1);
-
BOOST_CHECK(!manager.SnapshotBlockhash().has_value());
// Create a snapshot-based chainstate.
//
const uint256 snapshot_blockhash = GetRandHash();
CChainState& c2 = WITH_LOCK(::cs_main, return manager.InitializeChainstate(
- mempool, snapshot_blockhash));
+ &mempool, snapshot_blockhash));
chainstates.push_back(&c2);
BOOST_CHECK_EQUAL(manager.SnapshotBlockhash().value(), snapshot_blockhash);
c2.InitCoinsDB(
- /* cache_size_bytes */ 1 << 23, /* in_memory */ true, /* should_wipe */ false);
+ /*cache_size_bytes=*/1 << 23, /*in_memory=*/true, /*should_wipe=*/false);
WITH_LOCK(::cs_main, c2.InitCoinsCache(1 << 23));
// Unlike c1, which doesn't have any blocks. Gets us different tip, height.
- c2.LoadGenesisBlock(chainparams);
+ c2.LoadGenesisBlock();
BlockValidationState _;
- BOOST_CHECK(c2.ActivateBestChain(_, chainparams, nullptr));
+ BOOST_CHECK(c2.ActivateBestChain(_, nullptr));
BOOST_CHECK(manager.IsSnapshotActive());
BOOST_CHECK(!manager.IsSnapshotValidated());
- BOOST_CHECK(manager.IsBackgroundIBD(&c1));
- BOOST_CHECK(!manager.IsBackgroundIBD(&c2));
+ BOOST_CHECK_EQUAL(&c2, &manager.ActiveChainstate());
+ BOOST_CHECK(&c1 != &manager.ActiveChainstate());
auto all2 = manager.GetAll();
BOOST_CHECK_EQUAL_COLLECTIONS(all2.begin(), all2.end(), chainstates.begin(), chainstates.end());
@@ -100,16 +97,6 @@ BOOST_AUTO_TEST_CASE(chainstatemanager)
// CCoinsViewCache instances.
BOOST_CHECK(exp_tip != exp_tip2);
- auto& validated_cs2 = manager.ValidatedChainstate();
- BOOST_CHECK_EQUAL(&validated_cs2, &c1);
-
- auto& validated_chain = manager.ValidatedChain();
- BOOST_CHECK_EQUAL(&validated_chain, &c1.m_chain);
-
- auto validated_tip = manager.ValidatedTip();
- exp_tip = c1.m_chain.Tip();
- BOOST_CHECK_EQUAL(validated_tip, exp_tip);
-
// Let scheduler events finish running to avoid accessing memory that is going to be unloaded
SyncWithValidationInterfaceQueue();
@@ -130,15 +117,15 @@ BOOST_AUTO_TEST_CASE(chainstatemanager_rebalance_caches)
// Create a legacy (IBD) chainstate.
//
- CChainState& c1 = WITH_LOCK(cs_main, return manager.InitializeChainstate(mempool));
+ CChainState& c1 = WITH_LOCK(cs_main, return manager.InitializeChainstate(&mempool));
chainstates.push_back(&c1);
c1.InitCoinsDB(
- /* cache_size_bytes */ 1 << 23, /* in_memory */ true, /* should_wipe */ false);
+ /*cache_size_bytes=*/1 << 23, /*in_memory=*/true, /*should_wipe=*/false);
{
LOCK(::cs_main);
c1.InitCoinsCache(1 << 23);
- BOOST_REQUIRE(c1.LoadGenesisBlock(Params()));
+ BOOST_REQUIRE(c1.LoadGenesisBlock());
c1.CoinsTip().SetBestBlock(InsecureRand256());
manager.MaybeRebalanceCaches();
}
@@ -148,15 +135,15 @@ BOOST_AUTO_TEST_CASE(chainstatemanager_rebalance_caches)
// Create a snapshot-based chainstate.
//
- CChainState& c2 = WITH_LOCK(cs_main, return manager.InitializeChainstate(mempool, GetRandHash()));
+ CChainState& c2 = WITH_LOCK(cs_main, return manager.InitializeChainstate(&mempool, GetRandHash()));
chainstates.push_back(&c2);
c2.InitCoinsDB(
- /* cache_size_bytes */ 1 << 23, /* in_memory */ true, /* should_wipe */ false);
+ /*cache_size_bytes=*/1 << 23, /*in_memory=*/true, /*should_wipe=*/false);
{
LOCK(::cs_main);
c2.InitCoinsCache(1 << 23);
- BOOST_REQUIRE(c2.LoadGenesisBlock(Params()));
+ BOOST_REQUIRE(c2.LoadGenesisBlock());
c2.CoinsTip().SetBestBlock(InsecureRand256());
manager.MaybeRebalanceCaches();
}
@@ -169,38 +156,8 @@ BOOST_AUTO_TEST_CASE(chainstatemanager_rebalance_caches)
BOOST_CHECK_CLOSE(c2.m_coinsdb_cache_size_bytes, max_cache * 0.95, 1);
}
-auto NoMalleation = [](CAutoFile& file, SnapshotMetadata& meta){};
-
-template<typename F = decltype(NoMalleation)>
-static bool
-CreateAndActivateUTXOSnapshot(NodeContext& node, const fs::path root, F malleation = NoMalleation)
-{
- // Write out a snapshot to the test's tempdir.
- //
- int height;
- WITH_LOCK(::cs_main, height = node.chainman->ActiveHeight());
- fs::path snapshot_path = root / tfm::format("test_snapshot.%d.dat", height);
- FILE* outfile{fsbridge::fopen(snapshot_path, "wb")};
- CAutoFile auto_outfile{outfile, SER_DISK, CLIENT_VERSION};
-
- UniValue result = CreateUTXOSnapshot(node, node.chainman->ActiveChainstate(), auto_outfile);
- BOOST_TEST_MESSAGE(
- "Wrote UTXO snapshot to " << snapshot_path.make_preferred().string() << ": " << result.write());
-
- // Read the written snapshot in and then activate it.
- //
- FILE* infile{fsbridge::fopen(snapshot_path, "rb")};
- CAutoFile auto_infile{infile, SER_DISK, CLIENT_VERSION};
- SnapshotMetadata metadata;
- auto_infile >> metadata;
-
- malleation(auto_infile, metadata);
-
- return node.chainman->ActivateSnapshot(auto_infile, metadata, /*in_memory*/ true);
-}
-
//! Test basic snapshot activation.
-BOOST_FIXTURE_TEST_CASE(chainstatemanager_activate_snapshot, TestChain100DeterministicSetup)
+BOOST_FIXTURE_TEST_CASE(chainstatemanager_activate_snapshot, TestChain100Setup)
{
ChainstateManager& chainman = *Assert(m_node.chainman);
@@ -226,13 +183,12 @@ BOOST_FIXTURE_TEST_CASE(chainstatemanager_activate_snapshot, TestChain100Determi
// Snapshot should refuse to load at this height.
BOOST_REQUIRE(!CreateAndActivateUTXOSnapshot(m_node, m_path_root));
- BOOST_CHECK(chainman.ActiveChainstate().m_from_snapshot_blockhash.IsNull());
- BOOST_CHECK_EQUAL(
- chainman.ActiveChainstate().m_from_snapshot_blockhash,
- chainman.SnapshotBlockhash().value_or(uint256()));
+ BOOST_CHECK(!chainman.ActiveChainstate().m_from_snapshot_blockhash);
+ BOOST_CHECK(!chainman.SnapshotBlockhash());
// Mine 10 more blocks, putting at us height 110 where a valid assumeutxo value can
// be found.
+ constexpr int snapshot_height = 110;
mineBlocks(10);
initial_size += 10;
initial_total_coins += 10;
@@ -259,15 +215,33 @@ BOOST_FIXTURE_TEST_CASE(chainstatemanager_activate_snapshot, TestChain100Determi
// Coins count is smaller than coins in file
metadata.m_coins_count -= 1;
}));
+ BOOST_REQUIRE(!CreateAndActivateUTXOSnapshot(
+ m_node, m_path_root, [](CAutoFile& auto_infile, SnapshotMetadata& metadata) {
+ // Wrong hash
+ metadata.m_base_blockhash = uint256::ZERO;
+ }));
+ BOOST_REQUIRE(!CreateAndActivateUTXOSnapshot(
+ m_node, m_path_root, [](CAutoFile& auto_infile, SnapshotMetadata& metadata) {
+ // Wrong hash
+ metadata.m_base_blockhash = uint256::ONE;
+ }));
BOOST_REQUIRE(CreateAndActivateUTXOSnapshot(m_node, m_path_root));
// Ensure our active chain is the snapshot chainstate.
- BOOST_CHECK(!chainman.ActiveChainstate().m_from_snapshot_blockhash.IsNull());
+ BOOST_CHECK(!chainman.ActiveChainstate().m_from_snapshot_blockhash->IsNull());
BOOST_CHECK_EQUAL(
- chainman.ActiveChainstate().m_from_snapshot_blockhash,
+ *chainman.ActiveChainstate().m_from_snapshot_blockhash,
*chainman.SnapshotBlockhash());
+ // Ensure that the genesis block was not marked assumed-valid.
+ BOOST_CHECK(WITH_LOCK(::cs_main, return !chainman.ActiveChain().Genesis()->IsAssumedValid()));
+
+ const AssumeutxoData& au_data = *ExpectedAssumeutxo(snapshot_height, ::Params());
+ const CBlockIndex* tip = chainman.ActiveTip();
+
+ BOOST_CHECK_EQUAL(tip->nChainTx, au_data.nChainTx);
+
// To be checked against later when we try loading a subsequent snapshot.
uint256 loaded_snapshot_blockhash{*chainman.SnapshotBlockhash()};
@@ -308,27 +282,27 @@ BOOST_FIXTURE_TEST_CASE(chainstatemanager_activate_snapshot, TestChain100Determi
{
LOCK(::cs_main);
size_t coins_in_active{0};
- size_t coins_in_ibd{0};
- size_t coins_missing_ibd{0};
+ size_t coins_in_background{0};
+ size_t coins_missing_from_background{0};
for (CChainState* chainstate : chainman.GetAll()) {
BOOST_TEST_MESSAGE("Checking coins in " << chainstate->ToString());
CCoinsViewCache& coinscache = chainstate->CoinsTip();
- bool is_ibd = chainman.IsBackgroundIBD(chainstate);
+ bool is_background = chainstate != &chainman.ActiveChainstate();
for (CTransactionRef& txn : m_coinbase_txns) {
COutPoint op{txn->GetHash(), 0};
if (coinscache.HaveCoin(op)) {
- (is_ibd ? coins_in_ibd : coins_in_active)++;
- } else if (is_ibd) {
- coins_missing_ibd++;
+ (is_background ? coins_in_background : coins_in_active)++;
+ } else if (is_background) {
+ coins_missing_from_background++;
}
}
}
BOOST_CHECK_EQUAL(coins_in_active, initial_total_coins + new_coins);
- BOOST_CHECK_EQUAL(coins_in_ibd, initial_total_coins);
- BOOST_CHECK_EQUAL(coins_missing_ibd, new_coins);
+ BOOST_CHECK_EQUAL(coins_in_background, initial_total_coins);
+ BOOST_CHECK_EQUAL(coins_missing_from_background, new_coins);
}
// Snapshot should refuse to load after one has already loaded.
@@ -336,8 +310,86 @@ BOOST_FIXTURE_TEST_CASE(chainstatemanager_activate_snapshot, TestChain100Determi
// Snapshot blockhash should be unchanged.
BOOST_CHECK_EQUAL(
- chainman.ActiveChainstate().m_from_snapshot_blockhash,
+ *chainman.ActiveChainstate().m_from_snapshot_blockhash,
loaded_snapshot_blockhash);
}
+//! Test LoadBlockIndex behavior when multiple chainstates are in use.
+//!
+//! - First, verfiy that setBlockIndexCandidates is as expected when using a single,
+//! fully-validating chainstate.
+//!
+//! - Then mark a region of the chain BLOCK_ASSUMED_VALID and introduce a second chainstate
+//! that will tolerate assumed-valid blocks. Run LoadBlockIndex() and ensure that the first
+//! chainstate only contains fully validated blocks and the other chainstate contains all blocks,
+//! even those assumed-valid.
+//!
+BOOST_FIXTURE_TEST_CASE(chainstatemanager_loadblockindex, TestChain100Setup)
+{
+ ChainstateManager& chainman = *Assert(m_node.chainman);
+ CTxMemPool& mempool = *m_node.mempool;
+ CChainState& cs1 = chainman.ActiveChainstate();
+
+ int num_indexes{0};
+ int num_assumed_valid{0};
+ const int expected_assumed_valid{20};
+ const int last_assumed_valid_idx{40};
+ const int assumed_valid_start_idx = last_assumed_valid_idx - expected_assumed_valid;
+
+ CBlockIndex* validated_tip{nullptr};
+ CBlockIndex* assumed_tip{chainman.ActiveChain().Tip()};
+
+ auto reload_all_block_indexes = [&]() {
+ for (CChainState* cs : chainman.GetAll()) {
+ LOCK(::cs_main);
+ cs->UnloadBlockIndex();
+ BOOST_CHECK(cs->setBlockIndexCandidates.empty());
+ }
+
+ WITH_LOCK(::cs_main, chainman.LoadBlockIndex());
+ };
+
+ // Ensure that without any assumed-valid BlockIndex entries, all entries are considered
+ // tip candidates.
+ reload_all_block_indexes();
+ BOOST_CHECK_EQUAL(cs1.setBlockIndexCandidates.size(), cs1.m_chain.Height() + 1);
+
+ // Mark some region of the chain assumed-valid.
+ for (int i = 0; i <= cs1.m_chain.Height(); ++i) {
+ LOCK(::cs_main);
+ auto index = cs1.m_chain[i];
+
+ if (i < last_assumed_valid_idx && i >= assumed_valid_start_idx) {
+ index->nStatus = BlockStatus::BLOCK_VALID_TREE | BlockStatus::BLOCK_ASSUMED_VALID;
+ }
+
+ ++num_indexes;
+ if (index->IsAssumedValid()) ++num_assumed_valid;
+
+ // Note the last fully-validated block as the expected validated tip.
+ if (i == (assumed_valid_start_idx - 1)) {
+ validated_tip = index;
+ BOOST_CHECK(!index->IsAssumedValid());
+ }
+ }
+
+ BOOST_CHECK_EQUAL(expected_assumed_valid, num_assumed_valid);
+
+ CChainState& cs2 = WITH_LOCK(::cs_main,
+ return chainman.InitializeChainstate(&mempool, GetRandHash()));
+
+ reload_all_block_indexes();
+
+ // The fully validated chain only has candidates up to the start of the assumed-valid
+ // blocks.
+ BOOST_CHECK_EQUAL(cs1.setBlockIndexCandidates.count(validated_tip), 1);
+ BOOST_CHECK_EQUAL(cs1.setBlockIndexCandidates.count(assumed_tip), 0);
+ BOOST_CHECK_EQUAL(cs1.setBlockIndexCandidates.size(), assumed_valid_start_idx);
+
+ // The assumed-valid tolerant chain has all blocks as candidates.
+ BOOST_CHECK_EQUAL(cs2.setBlockIndexCandidates.count(validated_tip), 1);
+ BOOST_CHECK_EQUAL(cs2.setBlockIndexCandidates.count(assumed_tip), 1);
+ BOOST_CHECK_EQUAL(cs2.setBlockIndexCandidates.size(), num_indexes);
+}
+
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/validation_flush_tests.cpp b/src/test/validation_flush_tests.cpp
index a3b344d2c9..a34895d4ae 100644
--- a/src/test/validation_flush_tests.cpp
+++ b/src/test/validation_flush_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
//
@@ -9,7 +9,9 @@
#include <boost/test/unit_test.hpp>
-BOOST_FIXTURE_TEST_SUITE(validation_flush_tests, BasicTestingSetup)
+using node::BlockManager;
+
+BOOST_FIXTURE_TEST_SUITE(validation_flush_tests, ChainTestingSetup)
//! Test utilities for detecting when we need to flush the coins cache based
//! on estimated memory usage.
@@ -20,10 +22,9 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
{
CTxMemPool mempool;
BlockManager blockman{};
- CChainState chainstate{mempool, blockman};
- chainstate.InitCoinsDB(/*cache_size_bytes*/ 1 << 10, /*in_memory*/ true, /*should_wipe*/ false);
+ CChainState chainstate{&mempool, blockman, *Assert(m_node.chainman)};
+ chainstate.InitCoinsDB(/*cache_size_bytes=*/1 << 10, /*in_memory=*/true, /*should_wipe=*/false);
WITH_LOCK(::cs_main, chainstate.InitCoinsCache(1 << 10));
- CTxMemPool tx_pool{};
constexpr bool is_64_bit = sizeof(void*) == 8;
@@ -57,7 +58,7 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
// Without any coins in the cache, we shouldn't need to flush.
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes*/ 0),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes=*/0),
CoinsCacheSizeState::OK);
// If the initial memory allocations of cacheCoins don't match these common
@@ -72,7 +73,7 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
}
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes*/ 0),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes=*/0),
CoinsCacheSizeState::CRITICAL);
BOOST_TEST_MESSAGE("Exiting cache flush tests early due to unsupported arch");
@@ -93,7 +94,7 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
print_view_mem_usage(view);
BOOST_CHECK_EQUAL(view.AccessCoin(res).DynamicMemoryUsage(), COIN_SIZE);
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes*/ 0),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes=*/0),
CoinsCacheSizeState::OK);
}
@@ -101,26 +102,26 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
for (int i{0}; i < 4; ++i) {
add_coin(view);
print_view_mem_usage(view);
- if (chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes*/ 0) ==
+ if (chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes=*/0) ==
CoinsCacheSizeState::CRITICAL) {
break;
}
}
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes*/ 0),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes=*/0),
CoinsCacheSizeState::CRITICAL);
// Passing non-zero max mempool usage should allow us more headroom.
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes*/ 1 << 10),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes=*/1 << 10),
CoinsCacheSizeState::OK);
for (int i{0}; i < 3; ++i) {
add_coin(view);
print_view_mem_usage(view);
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes*/ 1 << 10),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, /*max_mempool_size_bytes=*/1 << 10),
CoinsCacheSizeState::OK);
}
@@ -136,7 +137,7 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
BOOST_CHECK(usage_percentage >= 0.9);
BOOST_CHECK(usage_percentage < 1);
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, 1 << 10),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, 1 << 10),
CoinsCacheSizeState::LARGE);
}
@@ -144,7 +145,7 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
for (int i{0}; i < 1000; ++i) {
add_coin(view);
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool),
+ chainstate.GetCoinsCacheSizeState(),
CoinsCacheSizeState::OK);
}
@@ -152,7 +153,7 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
// preallocated memory that doesn't get reclaimed even after flush.
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, 0),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, 0),
CoinsCacheSizeState::CRITICAL);
view.SetBestBlock(InsecureRand256());
@@ -160,7 +161,7 @@ BOOST_AUTO_TEST_CASE(getcoinscachesizestate)
print_view_mem_usage(view);
BOOST_CHECK_EQUAL(
- chainstate.GetCoinsCacheSizeState(&tx_pool, MAX_COINS_CACHE_BYTES, 0),
+ chainstate.GetCoinsCacheSizeState(MAX_COINS_CACHE_BYTES, 0),
CoinsCacheSizeState::CRITICAL);
}
diff --git a/src/test/validation_tests.cpp b/src/test/validation_tests.cpp
index ecf9453094..6ea49cb4ee 100644
--- a/src/test/validation_tests.cpp
+++ b/src/test/validation_tests.cpp
@@ -1,8 +1,9 @@
-// Copyright (c) 2014-2020 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chainparams.h>
+#include <consensus/amount.h>
#include <net.h>
#include <signet.h>
#include <uint256.h>
@@ -135,12 +136,12 @@ BOOST_AUTO_TEST_CASE(test_assumeutxo)
}
const auto out110 = *ExpectedAssumeutxo(110, *params);
- BOOST_CHECK_EQUAL(out110.hash_serialized, uint256S("76fd7334ac7c1baf57ddc0c626f073a655a35d98a4258cd1382c8cc2b8392e10"));
- BOOST_CHECK_EQUAL(out110.nChainTx, (unsigned int)110);
+ BOOST_CHECK_EQUAL(out110.hash_serialized.ToString(), "1ebbf5850204c0bdb15bf030f47c7fe91d45c44c712697e4509ba67adb01c618");
+ BOOST_CHECK_EQUAL(out110.nChainTx, 110U);
- const auto out210 = *ExpectedAssumeutxo(210, *params);
- BOOST_CHECK_EQUAL(out210.hash_serialized, uint256S("9c5ed99ef98544b34f8920b6d1802f72ac28ae6e2bd2bd4c316ff10c230df3f2"));
- BOOST_CHECK_EQUAL(out210.nChainTx, (unsigned int)210);
+ const auto out210 = *ExpectedAssumeutxo(200, *params);
+ BOOST_CHECK_EQUAL(out210.hash_serialized.ToString(), "51c8d11d8b5c1de51543c579736e786aa2736206d1e11e627568029ce092cf62");
+ BOOST_CHECK_EQUAL(out210.nChainTx, 200U);
}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/test/versionbits_tests.cpp b/src/test/versionbits_tests.cpp
index 50444f7bbe..bf87812a8a 100644
--- a/src/test/versionbits_tests.cpp
+++ b/src/test/versionbits_tests.cpp
@@ -1,10 +1,11 @@
-// Copyright (c) 2014-2020 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chain.h>
#include <chainparams.h>
#include <consensus/params.h>
+#include <deploymentstatus.h>
#include <test/util/setup_common.h>
#include <validation.h>
#include <versionbits.h>
@@ -14,6 +15,18 @@
/* Define a virtual block time, one block per 10 minutes after Nov 14 2014, 0:55:36am */
static int32_t TestTime(int nHeight) { return 1415926536 + 600 * nHeight; }
+static const std::string StateName(ThresholdState state)
+{
+ switch (state) {
+ case ThresholdState::DEFINED: return "DEFINED";
+ case ThresholdState::STARTED: return "STARTED";
+ case ThresholdState::LOCKED_IN: return "LOCKED_IN";
+ case ThresholdState::ACTIVE: return "ACTIVE";
+ case ThresholdState::FAILED: return "FAILED";
+ } // no default case, so the compiler can warn about missing cases
+ return "";
+}
+
static const Consensus::Params paramsDummy = Consensus::Params();
class TestConditionChecker : public AbstractThresholdConditionChecker
@@ -32,12 +45,24 @@ public:
int GetStateSinceHeightFor(const CBlockIndex* pindexPrev) const { return AbstractThresholdConditionChecker::GetStateSinceHeightFor(pindexPrev, paramsDummy, cache); }
};
+class TestDelayedActivationConditionChecker : public TestConditionChecker
+{
+public:
+ int MinActivationHeight(const Consensus::Params& params) const override { return 15000; }
+};
+
class TestAlwaysActiveConditionChecker : public TestConditionChecker
{
public:
int64_t BeginTime(const Consensus::Params& params) const override { return Consensus::BIP9Deployment::ALWAYS_ACTIVE; }
};
+class TestNeverActiveConditionChecker : public TestConditionChecker
+{
+public:
+ int64_t BeginTime(const Consensus::Params& params) const override { return Consensus::BIP9Deployment::NEVER_ACTIVE; }
+};
+
#define CHECKERS 6
class VersionBitsTester
@@ -49,22 +74,29 @@ class VersionBitsTester
// The first one performs all checks, the second only 50%, the third only 25%, etc...
// This is to test whether lack of cached information leads to the same results.
TestConditionChecker checker[CHECKERS];
+ // Another 6 that assume delayed activation
+ TestDelayedActivationConditionChecker checker_delayed[CHECKERS];
// Another 6 that assume always active activation
TestAlwaysActiveConditionChecker checker_always[CHECKERS];
+ // Another 6 that assume never active activation
+ TestNeverActiveConditionChecker checker_never[CHECKERS];
// Test counter (to identify failures)
- int num;
+ int num{1000};
public:
- VersionBitsTester() : num(0) {}
-
VersionBitsTester& Reset() {
+ // Have each group of tests be counted by the 1000s part, starting at 1000
+ num = num - (num % 1000) + 1000;
+
for (unsigned int i = 0; i < vpblock.size(); i++) {
delete vpblock[i];
}
for (unsigned int i = 0; i < CHECKERS; i++) {
checker[i] = TestConditionChecker();
+ checker_delayed[i] = TestDelayedActivationConditionChecker();
checker_always[i] = TestAlwaysActiveConditionChecker();
+ checker_never[i] = TestNeverActiveConditionChecker();
}
vpblock.clear();
return *this;
@@ -78,7 +110,7 @@ public:
while (vpblock.size() < height) {
CBlockIndex* pindex = new CBlockIndex();
pindex->nHeight = vpblock.size();
- pindex->pprev = vpblock.size() > 0 ? vpblock.back() : nullptr;
+ pindex->pprev = Tip();
pindex->nTime = nTime;
pindex->nVersion = nVersion;
pindex->BuildSkip();
@@ -87,73 +119,69 @@ public:
return *this;
}
- VersionBitsTester& TestStateSinceHeight(int height) {
- for (int i = 0; i < CHECKERS; i++) {
- if (InsecureRandBits(i) == 0) {
- BOOST_CHECK_MESSAGE(checker[i].GetStateSinceHeightFor(vpblock.empty() ? nullptr : vpblock.back()) == height, strprintf("Test %i for StateSinceHeight", num));
- BOOST_CHECK_MESSAGE(checker_always[i].GetStateSinceHeightFor(vpblock.empty() ? nullptr : vpblock.back()) == 0, strprintf("Test %i for StateSinceHeight (always active)", num));
- }
- }
- num++;
- return *this;
+ VersionBitsTester& TestStateSinceHeight(int height)
+ {
+ return TestStateSinceHeight(height, height);
}
- VersionBitsTester& TestDefined() {
+ VersionBitsTester& TestStateSinceHeight(int height, int height_delayed)
+ {
+ const CBlockIndex* tip = Tip();
for (int i = 0; i < CHECKERS; i++) {
if (InsecureRandBits(i) == 0) {
- BOOST_CHECK_MESSAGE(checker[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::DEFINED, strprintf("Test %i for DEFINED", num));
- BOOST_CHECK_MESSAGE(checker_always[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::ACTIVE, strprintf("Test %i for ACTIVE (always active)", num));
+ BOOST_CHECK_MESSAGE(checker[i].GetStateSinceHeightFor(tip) == height, strprintf("Test %i for StateSinceHeight", num));
+ BOOST_CHECK_MESSAGE(checker_delayed[i].GetStateSinceHeightFor(tip) == height_delayed, strprintf("Test %i for StateSinceHeight (delayed)", num));
+ BOOST_CHECK_MESSAGE(checker_always[i].GetStateSinceHeightFor(tip) == 0, strprintf("Test %i for StateSinceHeight (always active)", num));
+ BOOST_CHECK_MESSAGE(checker_never[i].GetStateSinceHeightFor(tip) == 0, strprintf("Test %i for StateSinceHeight (never active)", num));
}
}
num++;
return *this;
}
- VersionBitsTester& TestStarted() {
- for (int i = 0; i < CHECKERS; i++) {
- if (InsecureRandBits(i) == 0) {
- BOOST_CHECK_MESSAGE(checker[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::STARTED, strprintf("Test %i for STARTED", num));
- BOOST_CHECK_MESSAGE(checker_always[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::ACTIVE, strprintf("Test %i for ACTIVE (always active)", num));
- }
- }
- num++;
- return *this;
+ VersionBitsTester& TestState(ThresholdState exp)
+ {
+ return TestState(exp, exp);
}
- VersionBitsTester& TestLockedIn() {
- for (int i = 0; i < CHECKERS; i++) {
- if (InsecureRandBits(i) == 0) {
- BOOST_CHECK_MESSAGE(checker[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::LOCKED_IN, strprintf("Test %i for LOCKED_IN", num));
- BOOST_CHECK_MESSAGE(checker_always[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::ACTIVE, strprintf("Test %i for ACTIVE (always active)", num));
- }
+ VersionBitsTester& TestState(ThresholdState exp, ThresholdState exp_delayed)
+ {
+ if (exp != exp_delayed) {
+ // only expected differences are that delayed stays in locked_in longer
+ BOOST_CHECK_EQUAL(exp, ThresholdState::ACTIVE);
+ BOOST_CHECK_EQUAL(exp_delayed, ThresholdState::LOCKED_IN);
}
- num++;
- return *this;
- }
- VersionBitsTester& TestActive() {
+ const CBlockIndex* pindex = Tip();
for (int i = 0; i < CHECKERS; i++) {
if (InsecureRandBits(i) == 0) {
- BOOST_CHECK_MESSAGE(checker[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::ACTIVE, strprintf("Test %i for ACTIVE", num));
- BOOST_CHECK_MESSAGE(checker_always[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::ACTIVE, strprintf("Test %i for ACTIVE (always active)", num));
+ ThresholdState got = checker[i].GetStateFor(pindex);
+ ThresholdState got_delayed = checker_delayed[i].GetStateFor(pindex);
+ ThresholdState got_always = checker_always[i].GetStateFor(pindex);
+ ThresholdState got_never = checker_never[i].GetStateFor(pindex);
+ // nHeight of the next block. If vpblock is empty, the next (ie first)
+ // block should be the genesis block with nHeight == 0.
+ int height = pindex == nullptr ? 0 : pindex->nHeight + 1;
+ BOOST_CHECK_MESSAGE(got == exp, strprintf("Test %i for %s height %d (got %s)", num, StateName(exp), height, StateName(got)));
+ BOOST_CHECK_MESSAGE(got_delayed == exp_delayed, strprintf("Test %i for %s height %d (got %s; delayed case)", num, StateName(exp_delayed), height, StateName(got_delayed)));
+ BOOST_CHECK_MESSAGE(got_always == ThresholdState::ACTIVE, strprintf("Test %i for ACTIVE height %d (got %s; always active case)", num, height, StateName(got_always)));
+ BOOST_CHECK_MESSAGE(got_never == ThresholdState::FAILED, strprintf("Test %i for FAILED height %d (got %s; never active case)", num, height, StateName(got_never)));
}
}
num++;
return *this;
}
- VersionBitsTester& TestFailed() {
- for (int i = 0; i < CHECKERS; i++) {
- if (InsecureRandBits(i) == 0) {
- BOOST_CHECK_MESSAGE(checker[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::FAILED, strprintf("Test %i for FAILED", num));
- BOOST_CHECK_MESSAGE(checker_always[i].GetStateFor(vpblock.empty() ? nullptr : vpblock.back()) == ThresholdState::ACTIVE, strprintf("Test %i for ACTIVE (always active)", num));
- }
- }
- num++;
- return *this;
- }
+ VersionBitsTester& TestDefined() { return TestState(ThresholdState::DEFINED); }
+ VersionBitsTester& TestStarted() { return TestState(ThresholdState::STARTED); }
+ VersionBitsTester& TestLockedIn() { return TestState(ThresholdState::LOCKED_IN); }
+ VersionBitsTester& TestActive() { return TestState(ThresholdState::ACTIVE); }
+ VersionBitsTester& TestFailed() { return TestState(ThresholdState::FAILED); }
+
+ // non-delayed should be active; delayed should still be locked in
+ VersionBitsTester& TestActiveDelayed() { return TestState(ThresholdState::ACTIVE, ThresholdState::LOCKED_IN); }
- CBlockIndex * Tip() { return vpblock.size() ? vpblock.back() : nullptr; }
+ CBlockIndex* Tip() { return vpblock.empty() ? nullptr : vpblock.back(); }
};
BOOST_FIXTURE_TEST_SUITE(versionbits_tests, TestingSetup)
@@ -161,18 +189,19 @@ BOOST_FIXTURE_TEST_SUITE(versionbits_tests, TestingSetup)
BOOST_AUTO_TEST_CASE(versionbits_test)
{
for (int i = 0; i < 64; i++) {
- // DEFINED -> FAILED
+ // DEFINED -> STARTED after timeout reached -> FAILED
VersionBitsTester().TestDefined().TestStateSinceHeight(0)
.Mine(1, TestTime(1), 0x100).TestDefined().TestStateSinceHeight(0)
.Mine(11, TestTime(11), 0x100).TestDefined().TestStateSinceHeight(0)
.Mine(989, TestTime(989), 0x100).TestDefined().TestStateSinceHeight(0)
- .Mine(999, TestTime(20000), 0x100).TestDefined().TestStateSinceHeight(0)
- .Mine(1000, TestTime(20000), 0x100).TestFailed().TestStateSinceHeight(1000)
- .Mine(1999, TestTime(30001), 0x100).TestFailed().TestStateSinceHeight(1000)
- .Mine(2000, TestTime(30002), 0x100).TestFailed().TestStateSinceHeight(1000)
- .Mine(2001, TestTime(30003), 0x100).TestFailed().TestStateSinceHeight(1000)
- .Mine(2999, TestTime(30004), 0x100).TestFailed().TestStateSinceHeight(1000)
- .Mine(3000, TestTime(30005), 0x100).TestFailed().TestStateSinceHeight(1000)
+ .Mine(999, TestTime(20000), 0x100).TestDefined().TestStateSinceHeight(0) // Timeout and start time reached simultaneously
+ .Mine(1000, TestTime(20000), 0).TestStarted().TestStateSinceHeight(1000) // Hit started, stop signalling
+ .Mine(1999, TestTime(30001), 0).TestStarted().TestStateSinceHeight(1000)
+ .Mine(2000, TestTime(30002), 0x100).TestFailed().TestStateSinceHeight(2000) // Hit failed, start signalling again
+ .Mine(2001, TestTime(30003), 0x100).TestFailed().TestStateSinceHeight(2000)
+ .Mine(2999, TestTime(30004), 0x100).TestFailed().TestStateSinceHeight(2000)
+ .Mine(3000, TestTime(30005), 0x100).TestFailed().TestStateSinceHeight(2000)
+ .Mine(4000, TestTime(30006), 0x100).TestFailed().TestStateSinceHeight(2000)
// DEFINED -> STARTED -> FAILED
.Reset().TestDefined().TestStateSinceHeight(0)
@@ -184,19 +213,19 @@ BOOST_AUTO_TEST_CASE(versionbits_test)
.Mine(3000, TestTime(20000), 0).TestFailed().TestStateSinceHeight(3000) // 50 old blocks (so 899 out of the past 1000)
.Mine(4000, TestTime(20010), 0x100).TestFailed().TestStateSinceHeight(3000)
- // DEFINED -> STARTED -> FAILED while threshold reached
+ // DEFINED -> STARTED -> LOCKEDIN after timeout reached -> ACTIVE
.Reset().TestDefined().TestStateSinceHeight(0)
.Mine(1, TestTime(1), 0).TestDefined().TestStateSinceHeight(0)
.Mine(1000, TestTime(10000) - 1, 0x101).TestDefined().TestStateSinceHeight(0) // One second more and it would be defined
.Mine(2000, TestTime(10000), 0x101).TestStarted().TestStateSinceHeight(2000) // So that's what happens the next period
.Mine(2999, TestTime(30000), 0x100).TestStarted().TestStateSinceHeight(2000) // 999 new blocks
- .Mine(3000, TestTime(30000), 0x100).TestFailed().TestStateSinceHeight(3000) // 1 new block (so 1000 out of the past 1000 are new)
- .Mine(3999, TestTime(30001), 0).TestFailed().TestStateSinceHeight(3000)
- .Mine(4000, TestTime(30002), 0).TestFailed().TestStateSinceHeight(3000)
- .Mine(14333, TestTime(30003), 0).TestFailed().TestStateSinceHeight(3000)
- .Mine(24000, TestTime(40000), 0).TestFailed().TestStateSinceHeight(3000)
+ .Mine(3000, TestTime(30000), 0x100).TestLockedIn().TestStateSinceHeight(3000) // 1 new block (so 1000 out of the past 1000 are new)
+ .Mine(3999, TestTime(30001), 0).TestLockedIn().TestStateSinceHeight(3000)
+ .Mine(4000, TestTime(30002), 0).TestActiveDelayed().TestStateSinceHeight(4000, 3000)
+ .Mine(14333, TestTime(30003), 0).TestActiveDelayed().TestStateSinceHeight(4000, 3000)
+ .Mine(24000, TestTime(40000), 0).TestActive().TestStateSinceHeight(4000, 15000)
- // DEFINED -> STARTED -> LOCKEDIN at the last minute -> ACTIVE
+ // DEFINED -> STARTED -> LOCKEDIN before timeout -> ACTIVE
.Reset().TestDefined()
.Mine(1, TestTime(1), 0).TestDefined().TestStateSinceHeight(0)
.Mine(1000, TestTime(10000) - 1, 0x101).TestDefined().TestStateSinceHeight(0) // One second more and it would be defined
@@ -206,9 +235,10 @@ BOOST_AUTO_TEST_CASE(versionbits_test)
.Mine(2999, TestTime(19999), 0x200).TestStarted().TestStateSinceHeight(2000) // 49 old blocks
.Mine(3000, TestTime(29999), 0x200).TestLockedIn().TestStateSinceHeight(3000) // 1 old block (so 900 out of the past 1000)
.Mine(3999, TestTime(30001), 0).TestLockedIn().TestStateSinceHeight(3000)
- .Mine(4000, TestTime(30002), 0).TestActive().TestStateSinceHeight(4000)
- .Mine(14333, TestTime(30003), 0).TestActive().TestStateSinceHeight(4000)
- .Mine(24000, TestTime(40000), 0).TestActive().TestStateSinceHeight(4000)
+ .Mine(4000, TestTime(30002), 0).TestActiveDelayed().TestStateSinceHeight(4000, 3000) // delayed will not become active until height=15000
+ .Mine(14333, TestTime(30003), 0).TestActiveDelayed().TestStateSinceHeight(4000, 3000)
+ .Mine(15000, TestTime(40000), 0).TestActive().TestStateSinceHeight(4000, 15000)
+ .Mine(24000, TestTime(40000), 0).TestActive().TestStateSinceHeight(4000, 15000)
// DEFINED multiple periods -> STARTED multiple periods -> FAILED
.Reset().TestDefined().TestStateSinceHeight(0)
@@ -218,109 +248,135 @@ BOOST_AUTO_TEST_CASE(versionbits_test)
.Mine(3000, TestTime(10000), 0).TestStarted().TestStateSinceHeight(3000)
.Mine(4000, TestTime(10000), 0).TestStarted().TestStateSinceHeight(3000)
.Mine(5000, TestTime(10000), 0).TestStarted().TestStateSinceHeight(3000)
+ .Mine(5999, TestTime(20000), 0).TestStarted().TestStateSinceHeight(3000)
.Mine(6000, TestTime(20000), 0).TestFailed().TestStateSinceHeight(6000)
- .Mine(7000, TestTime(20000), 0x100).TestFailed().TestStateSinceHeight(6000);
- }
-
- // Sanity checks of version bit deployments
- const auto chainParams = CreateChainParams(*m_node.args, CBaseChainParams::MAIN);
- const Consensus::Params &mainnetParams = chainParams->GetConsensus();
- for (int i=0; i<(int) Consensus::MAX_VERSION_BITS_DEPLOYMENTS; i++) {
- uint32_t bitmask = VersionBitsMask(mainnetParams, static_cast<Consensus::DeploymentPos>(i));
- // Make sure that no deployment tries to set an invalid bit.
- BOOST_CHECK_EQUAL(bitmask & ~(uint32_t)VERSIONBITS_TOP_MASK, bitmask);
-
- // Verify that the deployment windows of different deployment using the
- // same bit are disjoint.
- // This test may need modification at such time as a new deployment
- // is proposed that reuses the bit of an activated soft fork, before the
- // end time of that soft fork. (Alternatively, the end time of that
- // activated soft fork could be later changed to be earlier to avoid
- // overlap.)
- for (int j=i+1; j<(int) Consensus::MAX_VERSION_BITS_DEPLOYMENTS; j++) {
- if (VersionBitsMask(mainnetParams, static_cast<Consensus::DeploymentPos>(j)) == bitmask) {
- BOOST_CHECK(mainnetParams.vDeployments[j].nStartTime > mainnetParams.vDeployments[i].nTimeout ||
- mainnetParams.vDeployments[i].nStartTime > mainnetParams.vDeployments[j].nTimeout);
- }
- }
+ .Mine(7000, TestTime(20000), 0x100).TestFailed().TestStateSinceHeight(6000)
+ .Mine(24000, TestTime(20000), 0x100).TestFailed().TestStateSinceHeight(6000) // stay in FAILED no matter how much we signal
+ ;
}
}
-BOOST_AUTO_TEST_CASE(versionbits_computeblockversion)
+/** Check that ComputeBlockVersion will set the appropriate bit correctly */
+static void check_computeblockversion(const Consensus::Params& params, Consensus::DeploymentPos dep)
{
- // Check that ComputeBlockVersion will set the appropriate bit correctly
- // on mainnet.
- const auto chainParams = CreateChainParams(*m_node.args, CBaseChainParams::MAIN);
- const Consensus::Params &mainnetParams = chainParams->GetConsensus();
+ // This implicitly uses g_versionbitscache, so clear it every time
+ g_versionbitscache.Clear();
+
+ int64_t bit = params.vDeployments[dep].bit;
+ int64_t nStartTime = params.vDeployments[dep].nStartTime;
+ int64_t nTimeout = params.vDeployments[dep].nTimeout;
+ int min_activation_height = params.vDeployments[dep].min_activation_height;
+
+ // should not be any signalling for first block
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(nullptr, params), VERSIONBITS_TOP_BITS);
+
+ // always/never active deployments shouldn't need to be tested further
+ if (nStartTime == Consensus::BIP9Deployment::ALWAYS_ACTIVE ||
+ nStartTime == Consensus::BIP9Deployment::NEVER_ACTIVE)
+ {
+ BOOST_CHECK_EQUAL(min_activation_height, 0);
+ return;
+ }
- // Use the TESTDUMMY deployment for testing purposes.
- int64_t bit = mainnetParams.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].bit;
- int64_t nStartTime = mainnetParams.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nStartTime;
- int64_t nTimeout = mainnetParams.vDeployments[Consensus::DEPLOYMENT_TESTDUMMY].nTimeout;
+ BOOST_REQUIRE(nStartTime < nTimeout);
+ BOOST_REQUIRE(nStartTime >= 0);
+ BOOST_REQUIRE(nTimeout <= std::numeric_limits<uint32_t>::max() || nTimeout == Consensus::BIP9Deployment::NO_TIMEOUT);
+ BOOST_REQUIRE(0 <= bit && bit < 32);
+ // Make sure that no deployment tries to set an invalid bit.
+ BOOST_REQUIRE(((1 << bit) & VERSIONBITS_TOP_MASK) == 0);
+ BOOST_REQUIRE(min_activation_height >= 0);
+ // Check min_activation_height is on a retarget boundary
+ BOOST_REQUIRE_EQUAL(min_activation_height % params.nMinerConfirmationWindow, 0U);
- assert(nStartTime < nTimeout);
+ const uint32_t bitmask{g_versionbitscache.Mask(params, dep)};
+ BOOST_CHECK_EQUAL(bitmask, uint32_t{1} << bit);
// In the first chain, test that the bit is set by CBV until it has failed.
// In the second chain, test the bit is set by CBV while STARTED and
// LOCKED-IN, and then no longer set while ACTIVE.
VersionBitsTester firstChain, secondChain;
- // Start generating blocks before nStartTime
- int64_t nTime = nStartTime - 1;
+ int64_t nTime = nStartTime;
+
+ const CBlockIndex *lastBlock = nullptr;
// Before MedianTimePast of the chain has crossed nStartTime, the bit
// should not be set.
- CBlockIndex *lastBlock = nullptr;
- lastBlock = firstChain.Mine(mainnetParams.nMinerConfirmationWindow, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit), 0);
-
- // Mine more blocks (4 less than the adjustment period) at the old time, and check that CBV isn't setting the bit yet.
- for (uint32_t i = 1; i < mainnetParams.nMinerConfirmationWindow - 4; i++) {
- lastBlock = firstChain.Mine(mainnetParams.nMinerConfirmationWindow + i, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- // This works because VERSIONBITS_LAST_OLD_BLOCK_VERSION happens
- // to be 4, and the bit we're testing happens to be bit 28.
- BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit), 0);
- }
- // Now mine 5 more blocks at the start time -- MTP should not have passed yet, so
- // CBV should still not yet set the bit.
- nTime = nStartTime;
- for (uint32_t i = mainnetParams.nMinerConfirmationWindow - 4; i <= mainnetParams.nMinerConfirmationWindow; i++) {
- lastBlock = firstChain.Mine(mainnetParams.nMinerConfirmationWindow + i, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit), 0);
+ if (nTime == 0) {
+ // since CBlockIndex::nTime is uint32_t we can't represent any
+ // earlier time, so will transition from DEFINED to STARTED at the
+ // end of the first period by mining blocks at nTime == 0
+ lastBlock = firstChain.Mine(params.nMinerConfirmationWindow - 1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit), 0);
+ lastBlock = firstChain.Mine(params.nMinerConfirmationWindow, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
+ // then we'll keep mining at nStartTime...
+ } else {
+ // use a time 1s earlier than start time to check we stay DEFINED
+ --nTime;
+
+ // Start generating blocks before nStartTime
+ lastBlock = firstChain.Mine(params.nMinerConfirmationWindow, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit), 0);
+
+ // Mine more blocks (4 less than the adjustment period) at the old time, and check that CBV isn't setting the bit yet.
+ for (uint32_t i = 1; i < params.nMinerConfirmationWindow - 4; i++) {
+ lastBlock = firstChain.Mine(params.nMinerConfirmationWindow + i, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit), 0);
+ }
+ // Now mine 5 more blocks at the start time -- MTP should not have passed yet, so
+ // CBV should still not yet set the bit.
+ nTime = nStartTime;
+ for (uint32_t i = params.nMinerConfirmationWindow - 4; i <= params.nMinerConfirmationWindow; i++) {
+ lastBlock = firstChain.Mine(params.nMinerConfirmationWindow + i, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit), 0);
+ }
+ // Next we will advance to the next period and transition to STARTED,
}
- // Advance to the next period and transition to STARTED,
- lastBlock = firstChain.Mine(mainnetParams.nMinerConfirmationWindow * 3, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ lastBlock = firstChain.Mine(params.nMinerConfirmationWindow * 3, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
// so ComputeBlockVersion should now set the bit,
- BOOST_CHECK((ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit)) != 0);
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
// and should also be using the VERSIONBITS_TOP_BITS.
- BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & VERSIONBITS_TOP_MASK, VERSIONBITS_TOP_BITS);
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & VERSIONBITS_TOP_MASK, VERSIONBITS_TOP_BITS);
// Check that ComputeBlockVersion will set the bit until nTimeout
nTime += 600;
- uint32_t blocksToMine = mainnetParams.nMinerConfirmationWindow * 2; // test blocks for up to 2 time periods
- uint32_t nHeight = mainnetParams.nMinerConfirmationWindow * 3;
+ uint32_t blocksToMine = params.nMinerConfirmationWindow * 2; // test blocks for up to 2 time periods
+ uint32_t nHeight = params.nMinerConfirmationWindow * 3;
// These blocks are all before nTimeout is reached.
while (nTime < nTimeout && blocksToMine > 0) {
lastBlock = firstChain.Mine(nHeight+1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK((ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit)) != 0);
- BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & VERSIONBITS_TOP_MASK, VERSIONBITS_TOP_BITS);
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & VERSIONBITS_TOP_MASK, VERSIONBITS_TOP_BITS);
blocksToMine--;
nTime += 600;
nHeight += 1;
}
- nTime = nTimeout;
- // FAILED is only triggered at the end of a period, so CBV should be setting
- // the bit until the period transition.
- for (uint32_t i = 0; i < mainnetParams.nMinerConfirmationWindow - 1; i++) {
+ if (nTimeout != Consensus::BIP9Deployment::NO_TIMEOUT) {
+ // can reach any nTimeout other than NO_TIMEOUT due to earlier BOOST_REQUIRE
+
+ nTime = nTimeout;
+
+ // finish the last period before we start timing out
+ while (nHeight % params.nMinerConfirmationWindow != 0) {
+ lastBlock = firstChain.Mine(nHeight+1, nTime - 1, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
+ nHeight += 1;
+ }
+
+ // FAILED is only triggered at the end of a period, so CBV should be setting
+ // the bit until the period transition.
+ for (uint32_t i = 0; i < params.nMinerConfirmationWindow - 1; i++) {
+ lastBlock = firstChain.Mine(nHeight+1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
+ nHeight += 1;
+ }
+ // The next block should trigger no longer setting the bit.
lastBlock = firstChain.Mine(nHeight+1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK((ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit)) != 0);
- nHeight += 1;
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit), 0);
}
- // The next block should trigger no longer setting the bit.
- lastBlock = firstChain.Mine(nHeight+1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit), 0);
// On a new chain:
// verify that the bit will be set after lock-in, and then stop being set
@@ -329,26 +385,72 @@ BOOST_AUTO_TEST_CASE(versionbits_computeblockversion)
// Mine one period worth of blocks, and check that the bit will be on for the
// next period.
- lastBlock = secondChain.Mine(mainnetParams.nMinerConfirmationWindow, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK((ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit)) != 0);
+ lastBlock = secondChain.Mine(params.nMinerConfirmationWindow, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
// Mine another period worth of blocks, signaling the new bit.
- lastBlock = secondChain.Mine(mainnetParams.nMinerConfirmationWindow * 2, nTime, VERSIONBITS_TOP_BITS | (1<<bit)).Tip();
+ lastBlock = secondChain.Mine(params.nMinerConfirmationWindow * 2, nTime, VERSIONBITS_TOP_BITS | (1<<bit)).Tip();
// After one period of setting the bit on each block, it should have locked in.
// We keep setting the bit for one more period though, until activation.
- BOOST_CHECK((ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit)) != 0);
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
// Now check that we keep mining the block until the end of this period, and
// then stop at the beginning of the next period.
- lastBlock = secondChain.Mine((mainnetParams.nMinerConfirmationWindow * 3) - 1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK((ComputeBlockVersion(lastBlock, mainnetParams) & (1 << bit)) != 0);
- lastBlock = secondChain.Mine(mainnetParams.nMinerConfirmationWindow * 3, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
- BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & (1<<bit), 0);
-
- // Finally, verify that after a soft fork has activated, CBV no longer uses
- // VERSIONBITS_LAST_OLD_BLOCK_VERSION.
- //BOOST_CHECK_EQUAL(ComputeBlockVersion(lastBlock, mainnetParams) & VERSIONBITS_TOP_MASK, VERSIONBITS_TOP_BITS);
+ lastBlock = secondChain.Mine((params.nMinerConfirmationWindow * 3) - 1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
+ lastBlock = secondChain.Mine(params.nMinerConfirmationWindow * 3, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+
+ if (lastBlock->nHeight + 1 < min_activation_height) {
+ // check signalling continues while min_activation_height is not reached
+ lastBlock = secondChain.Mine(min_activation_height - 1, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ BOOST_CHECK((g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit)) != 0);
+ // then reach min_activation_height, which was already REQUIRE'd to start a new period
+ lastBlock = secondChain.Mine(min_activation_height, nTime, VERSIONBITS_LAST_OLD_BLOCK_VERSION).Tip();
+ }
+
+ // Check that we don't signal after activation
+ BOOST_CHECK_EQUAL(g_versionbitscache.ComputeBlockVersion(lastBlock, params) & (1 << bit), 0);
}
+BOOST_AUTO_TEST_CASE(versionbits_computeblockversion)
+{
+ // check that any deployment on any chain can conceivably reach both
+ // ACTIVE and FAILED states in roughly the way we expect
+ for (const auto& chain_name : {CBaseChainParams::MAIN, CBaseChainParams::TESTNET, CBaseChainParams::SIGNET, CBaseChainParams::REGTEST}) {
+ const auto chainParams = CreateChainParams(*m_node.args, chain_name);
+ uint32_t chain_all_vbits{0};
+ for (int i = 0; i < (int)Consensus::MAX_VERSION_BITS_DEPLOYMENTS; ++i) {
+ const auto dep = static_cast<Consensus::DeploymentPos>(i);
+ // Check that no bits are re-used (within the same chain). This is
+ // disallowed because the transition to FAILED (on timeout) does
+ // not take precedence over STARTED/LOCKED_IN. So all softforks on
+ // the same bit might overlap, even when non-overlapping start-end
+ // times are picked.
+ const uint32_t dep_mask{g_versionbitscache.Mask(chainParams->GetConsensus(), dep)};
+ BOOST_CHECK(!(chain_all_vbits & dep_mask));
+ chain_all_vbits |= dep_mask;
+ check_computeblockversion(chainParams->GetConsensus(), dep);
+ }
+ }
+
+ {
+ // Use regtest/testdummy to ensure we always exercise some
+ // deployment that's not always/never active
+ ArgsManager args;
+ args.ForceSetArg("-vbparams", "testdummy:1199145601:1230767999"); // January 1, 2008 - December 31, 2008
+ const auto chainParams = CreateChainParams(args, CBaseChainParams::REGTEST);
+ check_computeblockversion(chainParams->GetConsensus(), Consensus::DEPLOYMENT_TESTDUMMY);
+ }
+
+ {
+ // Use regtest/testdummy to ensure we always exercise the
+ // min_activation_height test, even if we're not using that in a
+ // live deployment
+ ArgsManager args;
+ args.ForceSetArg("-vbparams", "testdummy:1199145601:1230767999:403200"); // January 1, 2008 - December 31, 2008, min act height 403200
+ const auto chainParams = CreateChainParams(args, CBaseChainParams::REGTEST);
+ check_computeblockversion(chainParams->GetConsensus(), Consensus::DEPLOYMENT_TESTDUMMY);
+ }
+}
BOOST_AUTO_TEST_SUITE_END()
diff --git a/src/threadinterrupt.h b/src/threadinterrupt.h
index 2665f8a5be..cb9a5fbf8b 100644
--- a/src/threadinterrupt.h
+++ b/src/threadinterrupt.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2019 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -33,4 +33,4 @@ private:
std::atomic<bool> flag;
};
-#endif //BITCOIN_THREADINTERRUPT_H
+#endif // BITCOIN_THREADINTERRUPT_H
diff --git a/src/timedata.cpp b/src/timedata.cpp
index 354092752d..541580b3ff 100644
--- a/src/timedata.cpp
+++ b/src/timedata.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2014-2020 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,6 +11,7 @@
#include <netaddress.h>
#include <node/ui_interface.h>
#include <sync.h>
+#include <tinyformat.h>
#include <util/system.h>
#include <util/translation.h>
#include <warnings.h>
@@ -74,7 +75,7 @@ void AddTimeData(const CNetAddr& ip, int64_t nOffsetSample)
int64_t nMedian = vTimeOffsets.median();
std::vector<int64_t> vSorted = vTimeOffsets.sorted();
// Only let other nodes change our time by so much
- int64_t max_adjustment = std::max<int64_t>(0, gArgs.GetArg("-maxtimeadjustment", DEFAULT_MAX_TIME_ADJUSTMENT));
+ int64_t max_adjustment = std::max<int64_t>(0, gArgs.GetIntArg("-maxtimeadjustment", DEFAULT_MAX_TIME_ADJUSTMENT));
if (nMedian >= -max_adjustment && nMedian <= max_adjustment) {
nTimeOffset = nMedian;
} else {
@@ -98,11 +99,12 @@ void AddTimeData(const CNetAddr& ip, int64_t nOffsetSample)
}
if (LogAcceptCategory(BCLog::NET)) {
+ std::string log_message{"time data samples: "};
for (const int64_t n : vSorted) {
- LogPrint(BCLog::NET, "%+d ", n); /* Continued */
+ log_message += strprintf("%+d ", n);
}
- LogPrint(BCLog::NET, "| "); /* Continued */
- LogPrint(BCLog::NET, "nTimeOffset = %+d (%+d minutes)\n", nTimeOffset, nTimeOffset / 60);
+ log_message += strprintf("| median offset = %+d (%+d minutes)", nTimeOffset, nTimeOffset / 60);
+ LogPrint(BCLog::NET, "%s\n", log_message);
}
}
}
diff --git a/src/tinyformat.h b/src/tinyformat.h
index bc893ccda5..bedaa14007 100644
--- a/src/tinyformat.h
+++ b/src/tinyformat.h
@@ -797,27 +797,27 @@ inline const char* streamStateFromFormat(std::ostream& out, bool& positionalMode
break;
case 'X':
out.setf(std::ios::uppercase);
- // Falls through
+ [[fallthrough]];
case 'x': case 'p':
out.setf(std::ios::hex, std::ios::basefield);
intConversion = true;
break;
case 'E':
out.setf(std::ios::uppercase);
- // Falls through
+ [[fallthrough]];
case 'e':
out.setf(std::ios::scientific, std::ios::floatfield);
out.setf(std::ios::dec, std::ios::basefield);
break;
case 'F':
out.setf(std::ios::uppercase);
- // Falls through
+ [[fallthrough]];
case 'f':
out.setf(std::ios::fixed, std::ios::floatfield);
break;
case 'A':
out.setf(std::ios::uppercase);
- // Falls through
+ [[fallthrough]];
case 'a':
# ifdef _MSC_VER
// Workaround https://developercommunity.visualstudio.com/content/problem/520472/hexfloat-stream-output-does-not-ignore-precision-a.html
@@ -829,7 +829,7 @@ inline const char* streamStateFromFormat(std::ostream& out, bool& positionalMode
break;
case 'G':
out.setf(std::ios::uppercase);
- // Falls through
+ [[fallthrough]];
case 'g':
out.setf(std::ios::dec, std::ios::basefield);
// As in boost::format, let stream decide float format.
diff --git a/src/torcontrol.cpp b/src/torcontrol.cpp
index 6666e49a2b..1bbced8cb6 100644
--- a/src/torcontrol.cpp
+++ b/src/torcontrol.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Copyright (c) 2017 The Zcash developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -14,25 +14,25 @@
#include <netbase.h>
#include <util/readwritefile.h>
#include <util/strencodings.h>
+#include <util/syscall_sandbox.h>
#include <util/system.h>
+#include <util/thread.h>
#include <util/time.h>
#include <deque>
#include <functional>
#include <set>
-#include <stdlib.h>
#include <vector>
-#include <boost/signals2/signal.hpp>
-#include <boost/algorithm/string/split.hpp>
#include <boost/algorithm/string/classification.hpp>
#include <boost/algorithm/string/replace.hpp>
+#include <boost/algorithm/string/split.hpp>
-#include <event2/bufferevent.h>
#include <event2/buffer.h>
-#include <event2/util.h>
+#include <event2/bufferevent.h>
#include <event2/event.h>
#include <event2/thread.h>
+#include <event2/util.h>
/** Default control port */
const std::string DEFAULT_TOR_CONTROL = "127.0.0.1:9051";
@@ -82,7 +82,7 @@ void TorControlConnection::readcb(struct bufferevent *bev, void *ctx)
if (s.size() < 4) // Short line
continue;
// <status>(-|+| )<data><CRLF>
- self->message.code = atoi(s.substr(0,3));
+ self->message.code = LocaleIndependentAtoi<int>(s.substr(0,3));
self->message.lines.push_back(s.substr(4));
char ch = s[3]; // '-','+' or ' '
if (ch == ' ') {
@@ -131,28 +131,35 @@ void TorControlConnection::eventcb(struct bufferevent *bev, short what, void *ct
bool TorControlConnection::Connect(const std::string& tor_control_center, const ConnectionCB& _connected, const ConnectionCB& _disconnected)
{
- if (b_conn)
+ if (b_conn) {
Disconnect();
- // Parse tor_control_center address:port
- struct sockaddr_storage connect_to_addr;
- int connect_to_addrlen = sizeof(connect_to_addr);
- if (evutil_parse_sockaddr_port(tor_control_center.c_str(),
- (struct sockaddr*)&connect_to_addr, &connect_to_addrlen)<0) {
+ }
+
+ CService control_service;
+ if (!Lookup(tor_control_center, control_service, 9051, fNameLookup)) {
+ LogPrintf("tor: Failed to look up control center %s\n", tor_control_center);
+ return false;
+ }
+
+ struct sockaddr_storage control_address;
+ socklen_t control_address_len = sizeof(control_address);
+ if (!control_service.GetSockAddr(reinterpret_cast<struct sockaddr*>(&control_address), &control_address_len)) {
LogPrintf("tor: Error parsing socket address %s\n", tor_control_center);
return false;
}
// Create a new socket, set up callbacks and enable notification bits
b_conn = bufferevent_socket_new(base, -1, BEV_OPT_CLOSE_ON_FREE);
- if (!b_conn)
+ if (!b_conn) {
return false;
+ }
bufferevent_setcb(b_conn, TorControlConnection::readcb, nullptr, TorControlConnection::eventcb, this);
bufferevent_enable(b_conn, EV_READ|EV_WRITE);
this->connected = _connected;
this->disconnected = _disconnected;
// Finally, connect to tor_control_center
- if (bufferevent_socket_connect(b_conn, (struct sockaddr*)&connect_to_addr, connect_to_addrlen) < 0) {
+ if (bufferevent_socket_connect(b_conn, reinterpret_cast<struct sockaddr*>(&control_address), control_address_len) < 0) {
LogPrintf("tor: Error connecting to address %s\n", tor_control_center);
return false;
}
@@ -268,9 +275,15 @@ std::map<std::string,std::string> ParseTorReplyMapping(const std::string &s)
if (j == 3 && value[i] > '3') {
j--;
}
- escaped_value.push_back(strtol(value.substr(i, j).c_str(), nullptr, 8));
+ const auto end{i + j};
+ uint8_t val{0};
+ while (i < end) {
+ val *= 8;
+ val += value[i++] - '0';
+ }
+ escaped_value.push_back(char(val));
// Account for automatic incrementing at loop end
- i += j - 1;
+ --i;
} else {
escaped_value.push_back(value[i]);
}
@@ -309,7 +322,7 @@ TorController::TorController(struct event_base* _base, const std::string& tor_co
// Read service private key if cached
std::pair<bool,std::string> pkf = ReadBinaryFile(GetPrivateKeyFile());
if (pkf.first) {
- LogPrint(BCLog::TOR, "tor: Reading cached private key from %s\n", GetPrivateKeyFile().string());
+ LogPrint(BCLog::TOR, "tor: Reading cached private key from %s\n", fs::PathToString(GetPrivateKeyFile()));
private_key = pkf.second;
}
}
@@ -347,9 +360,9 @@ void TorController::add_onion_cb(TorControlConnection& _conn, const TorControlRe
service = LookupNumeric(std::string(service_id+".onion"), Params().GetDefaultPort());
LogPrintf("tor: Got service ID %s, advertising service %s\n", service_id, service.ToString());
if (WriteBinaryFile(GetPrivateKeyFile(), private_key)) {
- LogPrint(BCLog::TOR, "tor: Cached service private key to %s\n", GetPrivateKeyFile().string());
+ LogPrint(BCLog::TOR, "tor: Cached service private key to %s\n", fs::PathToString(GetPrivateKeyFile()));
} else {
- LogPrintf("tor: Error writing service private key to %s\n", GetPrivateKeyFile().string());
+ LogPrintf("tor: Error writing service private key to %s\n", fs::PathToString(GetPrivateKeyFile()));
}
AddLocal(service, LOCAL_MANUAL);
// ... onion requested - keep connection open
@@ -499,7 +512,7 @@ void TorController::protocolinfo_cb(TorControlConnection& _conn, const TorContro
} else if (methods.count("SAFECOOKIE")) {
// Cookie: hexdump -e '32/1 "%02x""\n"' ~/.tor/control_auth_cookie
LogPrint(BCLog::TOR, "tor: Using SAFECOOKIE authentication, reading cookie authentication from %s\n", cookiefile);
- std::pair<bool,std::string> status_cookie = ReadBinaryFile(cookiefile, TOR_COOKIE_SIZE);
+ std::pair<bool,std::string> status_cookie = ReadBinaryFile(fs::PathFromString(cookiefile), TOR_COOKIE_SIZE);
if (status_cookie.first && status_cookie.second.size() == TOR_COOKIE_SIZE) {
// _conn.Command("AUTHENTICATE " + HexStr(status_cookie.second), std::bind(&TorController::auth_cb, this, std::placeholders::_1, std::placeholders::_2));
cookie = std::vector<uint8_t>(status_cookie.second.begin(), status_cookie.second.end());
@@ -562,7 +575,7 @@ void TorController::Reconnect()
fs::path TorController::GetPrivateKeyFile()
{
- return GetDataDir() / "onion_v3_private_key";
+ return gArgs.GetDataDirNet() / "onion_v3_private_key";
}
void TorController::reconnect_cb(evutil_socket_t fd, short what, void *arg)
@@ -577,6 +590,7 @@ static std::thread torControlThread;
static void TorControlThread(CService onion_service_target)
{
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::TOR_CONTROL);
TorController ctrl(gBase, gArgs.GetArg("-torcontrol", DEFAULT_TOR_CONTROL), onion_service_target);
event_base_dispatch(gBase);
@@ -596,7 +610,7 @@ void StartTorControl(CService onion_service_target)
return;
}
- torControlThread = std::thread(&TraceThread<std::function<void()>>, "torcontrol", [onion_service_target] {
+ torControlThread = std::thread(&util::TraceThread, "torcontrol", [onion_service_target] {
TorControlThread(onion_service_target);
});
}
diff --git a/src/torcontrol.h b/src/torcontrol.h
index 7258f27cb6..4ace3edcb1 100644
--- a/src/torcontrol.h
+++ b/src/torcontrol.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -157,4 +157,4 @@ public:
static void reconnect_cb(evutil_socket_t fd, short what, void *arg);
};
-#endif /* BITCOIN_TORCONTROL_H */
+#endif // BITCOIN_TORCONTROL_H
diff --git a/src/txdb.cpp b/src/txdb.cpp
index 4b4766e1ba..5e4379a60a 100644
--- a/src/txdb.cpp
+++ b/src/txdb.cpp
@@ -1,38 +1,60 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <txdb.h>
+#include <chain.h>
#include <node/ui_interface.h>
#include <pow.h>
#include <random.h>
#include <shutdown.h>
#include <uint256.h>
-#include <util/memory.h>
#include <util/system.h>
#include <util/translation.h>
#include <util/vector.h>
#include <stdint.h>
-static const char DB_COIN = 'C';
-static const char DB_COINS = 'c';
-static const char DB_BLOCK_FILES = 'f';
-static const char DB_BLOCK_INDEX = 'b';
+static constexpr uint8_t DB_COIN{'C'};
+static constexpr uint8_t DB_COINS{'c'};
+static constexpr uint8_t DB_BLOCK_FILES{'f'};
+static constexpr uint8_t DB_BLOCK_INDEX{'b'};
-static const char DB_BEST_BLOCK = 'B';
-static const char DB_HEAD_BLOCKS = 'H';
-static const char DB_FLAG = 'F';
-static const char DB_REINDEX_FLAG = 'R';
-static const char DB_LAST_BLOCK = 'l';
+static constexpr uint8_t DB_BEST_BLOCK{'B'};
+static constexpr uint8_t DB_HEAD_BLOCKS{'H'};
+static constexpr uint8_t DB_FLAG{'F'};
+static constexpr uint8_t DB_REINDEX_FLAG{'R'};
+static constexpr uint8_t DB_LAST_BLOCK{'l'};
+
+// Keys used in previous version that might still be found in the DB:
+static constexpr uint8_t DB_TXINDEX_BLOCK{'T'};
+// uint8_t DB_TXINDEX{'t'}
+
+std::optional<bilingual_str> CheckLegacyTxindex(CBlockTreeDB& block_tree_db)
+{
+ CBlockLocator ignored{};
+ if (block_tree_db.Read(DB_TXINDEX_BLOCK, ignored)) {
+ return _("The -txindex upgrade started by a previous version can not be completed. Restart with the previous version or run a full -reindex.");
+ }
+ bool txindex_legacy_flag{false};
+ block_tree_db.ReadFlag("txindex", txindex_legacy_flag);
+ if (txindex_legacy_flag) {
+ // Disable legacy txindex and warn once about occupied disk space
+ if (!block_tree_db.WriteFlag("txindex", false)) {
+ return Untranslated("Failed to write block index db flag 'txindex'='0'");
+ }
+ return _("The block index db contains a legacy 'txindex'. To clear the occupied disk space, run a full -reindex, otherwise ignore this error. This error message will not be displayed again.");
+ }
+ return std::nullopt;
+}
namespace {
struct CoinEntry {
COutPoint* outpoint;
- char key;
+ uint8_t key;
explicit CoinEntry(const COutPoint* ptr) : outpoint(const_cast<COutPoint*>(ptr)), key(DB_COIN) {}
SERIALIZE_METHODS(CoinEntry, obj) { READWRITE(obj.key, obj.outpoint->hash, VARINT(obj.outpoint->n)); }
@@ -41,7 +63,7 @@ struct CoinEntry {
}
CCoinsViewDB::CCoinsViewDB(fs::path ldb_path, size_t nCacheSize, bool fMemory, bool fWipe) :
- m_db(MakeUnique<CDBWrapper>(ldb_path, nCacheSize, fMemory, fWipe, true)),
+ m_db(std::make_unique<CDBWrapper>(ldb_path, nCacheSize, fMemory, fWipe, true)),
m_ldb_path(ldb_path),
m_is_memory(fMemory) { }
@@ -53,7 +75,7 @@ void CCoinsViewDB::ResizeCache(size_t new_cache_size)
// Have to do a reset first to get the original `m_db` state to release its
// filesystem lock.
m_db.reset();
- m_db = MakeUnique<CDBWrapper>(
+ m_db = std::make_unique<CDBWrapper>(
m_ldb_path, new_cache_size, m_is_memory, /*fWipe*/ false, /*obfuscate*/ true);
}
}
@@ -85,8 +107,8 @@ bool CCoinsViewDB::BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock) {
CDBBatch batch(*m_db);
size_t count = 0;
size_t changed = 0;
- size_t batch_size = (size_t)gArgs.GetArg("-dbbatchsize", nDefaultDbBatchSize);
- int crash_simulate = gArgs.GetArg("-dbcrashratio", 0);
+ size_t batch_size = (size_t)gArgs.GetIntArg("-dbbatchsize", nDefaultDbBatchSize);
+ int crash_simulate = gArgs.GetIntArg("-dbcrashratio", 0);
assert(!hashBlock.IsNull());
uint256 old_tip = GetBestBlock();
@@ -144,10 +166,10 @@ bool CCoinsViewDB::BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock) {
size_t CCoinsViewDB::EstimateSize() const
{
- return m_db->EstimateSize(DB_COIN, (char)(DB_COIN+1));
+ return m_db->EstimateSize(DB_COIN, uint8_t(DB_COIN + 1));
}
-CBlockTreeDB::CBlockTreeDB(size_t nCacheSize, bool fMemory, bool fWipe) : CDBWrapper(GetDataDir() / "blocks" / "index", nCacheSize, fMemory, fWipe) {
+CBlockTreeDB::CBlockTreeDB(size_t nCacheSize, bool fMemory, bool fWipe) : CDBWrapper(gArgs.GetDataDirNet() / "blocks" / "index", nCacheSize, fMemory, fWipe) {
}
bool CBlockTreeDB::ReadBlockFileInfo(int nFile, CBlockFileInfo &info) {
@@ -156,7 +178,7 @@ bool CBlockTreeDB::ReadBlockFileInfo(int nFile, CBlockFileInfo &info) {
bool CBlockTreeDB::WriteReindexing(bool fReindexing) {
if (fReindexing)
- return Write(DB_REINDEX_FLAG, '1');
+ return Write(DB_REINDEX_FLAG, uint8_t{'1'});
else
return Erase(DB_REINDEX_FLAG);
}
@@ -169,9 +191,34 @@ bool CBlockTreeDB::ReadLastBlockFile(int &nFile) {
return Read(DB_LAST_BLOCK, nFile);
}
-CCoinsViewCursor *CCoinsViewDB::Cursor() const
+/** Specialization of CCoinsViewCursor to iterate over a CCoinsViewDB */
+class CCoinsViewDBCursor: public CCoinsViewCursor
{
- CCoinsViewDBCursor *i = new CCoinsViewDBCursor(const_cast<CDBWrapper&>(*m_db).NewIterator(), GetBestBlock());
+public:
+ // Prefer using CCoinsViewDB::Cursor() since we want to perform some
+ // cache warmup on instantiation.
+ CCoinsViewDBCursor(CDBIterator* pcursorIn, const uint256&hashBlockIn):
+ CCoinsViewCursor(hashBlockIn), pcursor(pcursorIn) {}
+ ~CCoinsViewDBCursor() {}
+
+ bool GetKey(COutPoint &key) const override;
+ bool GetValue(Coin &coin) const override;
+ unsigned int GetValueSize() const override;
+
+ bool Valid() const override;
+ void Next() override;
+
+private:
+ std::unique_ptr<CDBIterator> pcursor;
+ std::pair<char, COutPoint> keyTmp;
+
+ friend class CCoinsViewDB;
+};
+
+std::unique_ptr<CCoinsViewCursor> CCoinsViewDB::Cursor() const
+{
+ auto i = std::make_unique<CCoinsViewDBCursor>(
+ const_cast<CDBWrapper&>(*m_db).NewIterator(), GetBestBlock());
/* It seems that there are no "const iterators" for LevelDB. Since we
only need read operations on it, use a const-cast to get around
that restriction. */
@@ -236,27 +283,27 @@ bool CBlockTreeDB::WriteBatchSync(const std::vector<std::pair<int, const CBlockF
}
bool CBlockTreeDB::WriteFlag(const std::string &name, bool fValue) {
- return Write(std::make_pair(DB_FLAG, name), fValue ? '1' : '0');
+ return Write(std::make_pair(DB_FLAG, name), fValue ? uint8_t{'1'} : uint8_t{'0'});
}
bool CBlockTreeDB::ReadFlag(const std::string &name, bool &fValue) {
- char ch;
+ uint8_t ch;
if (!Read(std::make_pair(DB_FLAG, name), ch))
return false;
- fValue = ch == '1';
+ fValue = ch == uint8_t{'1'};
return true;
}
bool CBlockTreeDB::LoadBlockIndexGuts(const Consensus::Params& consensusParams, std::function<CBlockIndex*(const uint256&)> insertBlockIndex)
{
+ AssertLockHeld(::cs_main);
std::unique_ptr<CDBIterator> pcursor(NewIterator());
-
pcursor->Seek(std::make_pair(DB_BLOCK_INDEX, uint256()));
// Load m_block_index
while (pcursor->Valid()) {
if (ShutdownRequested()) return false;
- std::pair<char, uint256> key;
+ std::pair<uint8_t, uint256> key;
if (pcursor->GetKey(key) && key.first == DB_BLOCK_INDEX) {
CDiskBlockIndex diskindex;
if (pcursor->GetValue(diskindex)) {
@@ -275,8 +322,9 @@ bool CBlockTreeDB::LoadBlockIndexGuts(const Consensus::Params& consensusParams,
pindexNew->nStatus = diskindex.nStatus;
pindexNew->nTx = diskindex.nTx;
- if (!CheckProofOfWork(pindexNew->GetBlockHash(), pindexNew->nBits, consensusParams))
+ if (!CheckProofOfWork(pindexNew->GetBlockHash(), pindexNew->nBits, consensusParams)) {
return error("%s: CheckProofOfWork failed: %s", __func__, pindexNew->ToString());
+ }
pcursor->Next();
} else {
diff --git a/src/txdb.h b/src/txdb.h
index 0cf7e2f1b8..e70f3cd1f2 100644
--- a/src/txdb.h
+++ b/src/txdb.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,17 +8,20 @@
#include <coins.h>
#include <dbwrapper.h>
-#include <chain.h>
-#include <primitives/block.h>
#include <memory>
+#include <optional>
#include <string>
#include <utility>
#include <vector>
+class CBlockFileInfo;
class CBlockIndex;
-class CCoinsViewDBCursor;
class uint256;
+namespace Consensus {
+struct Params;
+};
+struct bilingual_str;
//! -dbcache default (MiB)
static const int64_t nDefaultDbCache = 450;
@@ -60,7 +63,7 @@ public:
uint256 GetBestBlock() const override;
std::vector<uint256> GetHeadBlocks() const override;
bool BatchWrite(CCoinsMap &mapCoins, const uint256 &hashBlock) override;
- CCoinsViewCursor *Cursor() const override;
+ std::unique_ptr<CCoinsViewCursor> Cursor() const override;
//! Attempt to update from an older database format. Returns whether an error occurred.
bool Upgrade();
@@ -70,28 +73,6 @@ public:
void ResizeCache(size_t new_cache_size) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
};
-/** Specialization of CCoinsViewCursor to iterate over a CCoinsViewDB */
-class CCoinsViewDBCursor: public CCoinsViewCursor
-{
-public:
- ~CCoinsViewDBCursor() {}
-
- bool GetKey(COutPoint &key) const override;
- bool GetValue(Coin &coin) const override;
- unsigned int GetValueSize() const override;
-
- bool Valid() const override;
- void Next() override;
-
-private:
- CCoinsViewDBCursor(CDBIterator* pcursorIn, const uint256 &hashBlockIn):
- CCoinsViewCursor(hashBlockIn), pcursor(pcursorIn) {}
- std::unique_ptr<CDBIterator> pcursor;
- std::pair<char, COutPoint> keyTmp;
-
- friend class CCoinsViewDB;
-};
-
/** Access to the block database (blocks/index/) */
class CBlockTreeDB : public CDBWrapper
{
@@ -105,7 +86,10 @@ public:
void ReadReindexing(bool &fReindexing);
bool WriteFlag(const std::string &name, bool fValue);
bool ReadFlag(const std::string &name, bool &fValue);
- bool LoadBlockIndexGuts(const Consensus::Params& consensusParams, std::function<CBlockIndex*(const uint256&)> insertBlockIndex);
+ bool LoadBlockIndexGuts(const Consensus::Params& consensusParams, std::function<CBlockIndex*(const uint256&)> insertBlockIndex)
+ EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
};
+std::optional<bilingual_str> CheckLegacyTxindex(CBlockTreeDB& block_tree_db);
+
#endif // BITCOIN_TXDB_H
diff --git a/src/txmempool.cpp b/src/txmempool.cpp
index f10b4ad740..fb5652d0a0 100644
--- a/src/txmempool.cpp
+++ b/src/txmempool.cpp
@@ -1,14 +1,15 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <txmempool.h>
+#include <chain.h>
+#include <coins.h>
#include <consensus/consensus.h>
#include <consensus/tx_verify.h>
#include <consensus/validation.h>
-#include <optional.h>
#include <policy/fees.h>
#include <policy/policy.h>
#include <policy/settings.h>
@@ -16,27 +17,88 @@
#include <util/moneystr.h>
#include <util/system.h>
#include <util/time.h>
-#include <validation.h>
#include <validationinterface.h>
-CTxMemPoolEntry::CTxMemPoolEntry(const CTransactionRef& _tx, const CAmount& _nFee,
- int64_t _nTime, unsigned int _entryHeight,
- bool _spendsCoinbase, int64_t _sigOpsCost, LockPoints lp)
- : tx(_tx), nFee(_nFee), nTxWeight(GetTransactionWeight(*tx)), nUsageSize(RecursiveDynamicUsage(tx)), nTime(_nTime), entryHeight(_entryHeight),
- spendsCoinbase(_spendsCoinbase), sigOpCost(_sigOpsCost), lockPoints(lp)
+#include <cmath>
+#include <optional>
+
+// Helpers for modifying CTxMemPool::mapTx, which is a boost multi_index.
+struct update_descendant_state
+{
+ update_descendant_state(int64_t _modifySize, CAmount _modifyFee, int64_t _modifyCount) :
+ modifySize(_modifySize), modifyFee(_modifyFee), modifyCount(_modifyCount)
+ {}
+
+ void operator() (CTxMemPoolEntry &e)
+ { e.UpdateDescendantState(modifySize, modifyFee, modifyCount); }
+
+ private:
+ int64_t modifySize;
+ CAmount modifyFee;
+ int64_t modifyCount;
+};
+
+struct update_ancestor_state
+{
+ update_ancestor_state(int64_t _modifySize, CAmount _modifyFee, int64_t _modifyCount, int64_t _modifySigOpsCost) :
+ modifySize(_modifySize), modifyFee(_modifyFee), modifyCount(_modifyCount), modifySigOpsCost(_modifySigOpsCost)
+ {}
+
+ void operator() (CTxMemPoolEntry &e)
+ { e.UpdateAncestorState(modifySize, modifyFee, modifyCount, modifySigOpsCost); }
+
+ private:
+ int64_t modifySize;
+ CAmount modifyFee;
+ int64_t modifyCount;
+ int64_t modifySigOpsCost;
+};
+
+struct update_fee_delta
{
- nCountWithDescendants = 1;
- nSizeWithDescendants = GetTxSize();
- nModFeesWithDescendants = nFee;
+ explicit update_fee_delta(int64_t _feeDelta) : feeDelta(_feeDelta) { }
- feeDelta = 0;
+ void operator() (CTxMemPoolEntry &e) { e.UpdateFeeDelta(feeDelta); }
+
+private:
+ int64_t feeDelta;
+};
- nCountWithAncestors = 1;
- nSizeWithAncestors = GetTxSize();
- nModFeesWithAncestors = nFee;
- nSigOpCostWithAncestors = sigOpCost;
+bool TestLockPointValidity(CChain& active_chain, const LockPoints& lp)
+{
+ AssertLockHeld(cs_main);
+ // If there are relative lock times then the maxInputBlock will be set
+ // If there are no relative lock times, the LockPoints don't depend on the chain
+ if (lp.maxInputBlock) {
+ // Check whether active_chain is an extension of the block at which the LockPoints
+ // calculation was valid. If not LockPoints are no longer valid
+ if (!active_chain.Contains(lp.maxInputBlock)) {
+ return false;
+ }
+ }
+
+ // LockPoints still valid
+ return true;
}
+CTxMemPoolEntry::CTxMemPoolEntry(const CTransactionRef& tx, CAmount fee,
+ int64_t time, unsigned int entry_height,
+ bool spends_coinbase, int64_t sigops_cost, LockPoints lp)
+ : tx{tx},
+ nFee{fee},
+ nTxWeight(GetTransactionWeight(*tx)),
+ nUsageSize{RecursiveDynamicUsage(tx)},
+ nTime{time},
+ entryHeight{entry_height},
+ spendsCoinbase{spends_coinbase},
+ sigOpCost{sigops_cost},
+ lockPoints{lp},
+ nSizeWithDescendants{GetTxSize()},
+ nModFeesWithDescendants{nFee},
+ nSizeWithAncestors{GetTxSize()},
+ nModFeesWithAncestors{nFee},
+ nSigOpCostWithAncestors{sigOpCost} {}
+
void CTxMemPoolEntry::UpdateFeeDelta(int64_t newFeeDelta)
{
nModFeesWithDescendants += newFeeDelta - feeDelta;
@@ -54,10 +116,9 @@ size_t CTxMemPoolEntry::GetTxSize() const
return GetVirtualTransactionSize(nTxWeight, sigOpCost);
}
-// Update the given tx for any in-mempool descendants.
-// Assumes that CTxMemPool::m_children is correct for the given tx and all
-// descendants.
-void CTxMemPool::UpdateForDescendants(txiter updateIt, cacheMap &cachedDescendants, const std::set<uint256> &setExclude)
+void CTxMemPool::UpdateForDescendants(txiter updateIt, cacheMap& cachedDescendants,
+ const std::set<uint256>& setExclude, std::set<uint256>& descendants_to_remove,
+ uint64_t ancestor_size_limit, uint64_t ancestor_count_limit)
{
CTxMemPoolEntry::Children stageEntries, descendants;
stageEntries = updateIt->GetMemPoolChildrenConst();
@@ -94,17 +155,18 @@ void CTxMemPool::UpdateForDescendants(txiter updateIt, cacheMap &cachedDescendan
cachedDescendants[updateIt].insert(mapTx.iterator_to(descendant));
// Update ancestor state for each descendant
mapTx.modify(mapTx.iterator_to(descendant), update_ancestor_state(updateIt->GetTxSize(), updateIt->GetModifiedFee(), 1, updateIt->GetSigOpCost()));
+ // Don't directly remove the transaction here -- doing so would
+ // invalidate iterators in cachedDescendants. Mark it for removal
+ // by inserting into descendants_to_remove.
+ if (descendant.GetCountWithAncestors() > ancestor_count_limit || descendant.GetSizeWithAncestors() > ancestor_size_limit) {
+ descendants_to_remove.insert(descendant.GetTx().GetHash());
+ }
}
}
mapTx.modify(updateIt, update_descendant_state(modifySize, modifyFee, modifyCount));
}
-// vHashesToUpdate is the set of transaction hashes from a disconnected block
-// which has been re-added to the mempool.
-// for each entry, look for descendants that are outside vHashesToUpdate, and
-// add fee/size information for such descendants to the parent.
-// for each such descendant, also update the ancestor state to include the parent.
-void CTxMemPool::UpdateTransactionsFromBlock(const std::vector<uint256> &vHashesToUpdate)
+void CTxMemPool::UpdateTransactionsFromBlock(const std::vector<uint256> &vHashesToUpdate, uint64_t ancestor_size_limit, uint64_t ancestor_count_limit)
{
AssertLockHeld(cs);
// For each entry in vHashesToUpdate, store the set of in-mempool, but not
@@ -116,6 +178,8 @@ void CTxMemPool::UpdateTransactionsFromBlock(const std::vector<uint256> &vHashes
// accounted for in the state of their ancestors)
std::set<uint256> setAlreadyIncluded(vHashesToUpdate.begin(), vHashesToUpdate.end());
+ std::set<uint256> descendants_to_remove;
+
// Iterate in reverse, so that whenever we are looking at a transaction
// we are sure that all in-mempool descendants have already been processed.
// This maximizes the benefit of the descendant cache and guarantees that
@@ -145,37 +209,29 @@ void CTxMemPool::UpdateTransactionsFromBlock(const std::vector<uint256> &vHashes
}
}
} // release epoch guard for UpdateForDescendants
- UpdateForDescendants(it, mapMemPoolDescendantsToUpdate, setAlreadyIncluded);
+ UpdateForDescendants(it, mapMemPoolDescendantsToUpdate, setAlreadyIncluded, descendants_to_remove, ancestor_size_limit, ancestor_count_limit);
}
-}
-bool CTxMemPool::CalculateMemPoolAncestors(const CTxMemPoolEntry &entry, setEntries &setAncestors, uint64_t limitAncestorCount, uint64_t limitAncestorSize, uint64_t limitDescendantCount, uint64_t limitDescendantSize, std::string &errString, bool fSearchForParents /* = true */) const
-{
- CTxMemPoolEntry::Parents staged_ancestors;
- const CTransaction &tx = entry.GetTx();
-
- if (fSearchForParents) {
- // Get parents of this transaction that are in the mempool
- // GetMemPoolParents() is only valid for entries in the mempool, so we
- // iterate mapTx to find parents.
- for (unsigned int i = 0; i < tx.vin.size(); i++) {
- Optional<txiter> piter = GetIter(tx.vin[i].prevout.hash);
- if (piter) {
- staged_ancestors.insert(**piter);
- if (staged_ancestors.size() + 1 > limitAncestorCount) {
- errString = strprintf("too many unconfirmed parents [limit: %u]", limitAncestorCount);
- return false;
- }
- }
+ for (const auto& txid : descendants_to_remove) {
+ // This txid may have been removed already in a prior call to removeRecursive.
+ // Therefore we ensure it is not yet removed already.
+ if (const std::optional<txiter> txiter = GetIter(txid)) {
+ removeRecursive((*txiter)->GetTx(), MemPoolRemovalReason::SIZELIMIT);
}
- } else {
- // If we're not searching for parents, we require this to be an
- // entry in the mempool already.
- txiter it = mapTx.iterator_to(entry);
- staged_ancestors = it->GetMemPoolParentsConst();
}
+}
- size_t totalSizeWithAncestors = entry.GetTxSize();
+bool CTxMemPool::CalculateAncestorsAndCheckLimits(size_t entry_size,
+ size_t entry_count,
+ setEntries& setAncestors,
+ CTxMemPoolEntry::Parents& staged_ancestors,
+ uint64_t limitAncestorCount,
+ uint64_t limitAncestorSize,
+ uint64_t limitDescendantCount,
+ uint64_t limitDescendantSize,
+ std::string &errString) const
+{
+ size_t totalSizeWithAncestors = entry_size;
while (!staged_ancestors.empty()) {
const CTxMemPoolEntry& stage = staged_ancestors.begin()->get();
@@ -185,10 +241,10 @@ bool CTxMemPool::CalculateMemPoolAncestors(const CTxMemPoolEntry &entry, setEntr
staged_ancestors.erase(stage);
totalSizeWithAncestors += stageit->GetTxSize();
- if (stageit->GetSizeWithDescendants() + entry.GetTxSize() > limitDescendantSize) {
+ if (stageit->GetSizeWithDescendants() + entry_size > limitDescendantSize) {
errString = strprintf("exceeds descendant size limit for tx %s [limit: %u]", stageit->GetTx().GetHash().ToString(), limitDescendantSize);
return false;
- } else if (stageit->GetCountWithDescendants() + 1 > limitDescendantCount) {
+ } else if (stageit->GetCountWithDescendants() + entry_count > limitDescendantCount) {
errString = strprintf("too many descendants for tx %s [limit: %u]", stageit->GetTx().GetHash().ToString(), limitDescendantCount);
return false;
} else if (totalSizeWithAncestors > limitAncestorSize) {
@@ -204,7 +260,7 @@ bool CTxMemPool::CalculateMemPoolAncestors(const CTxMemPoolEntry &entry, setEntr
if (setAncestors.count(parent_it) == 0) {
staged_ancestors.insert(parent);
}
- if (staged_ancestors.size() + setAncestors.size() + 1 > limitAncestorCount) {
+ if (staged_ancestors.size() + setAncestors.size() + entry_count > limitAncestorCount) {
errString = strprintf("too many unconfirmed ancestors [limit: %u]", limitAncestorCount);
return false;
}
@@ -214,9 +270,83 @@ bool CTxMemPool::CalculateMemPoolAncestors(const CTxMemPoolEntry &entry, setEntr
return true;
}
+bool CTxMemPool::CheckPackageLimits(const Package& package,
+ uint64_t limitAncestorCount,
+ uint64_t limitAncestorSize,
+ uint64_t limitDescendantCount,
+ uint64_t limitDescendantSize,
+ std::string &errString) const
+{
+ CTxMemPoolEntry::Parents staged_ancestors;
+ size_t total_size = 0;
+ for (const auto& tx : package) {
+ total_size += GetVirtualTransactionSize(*tx);
+ for (const auto& input : tx->vin) {
+ std::optional<txiter> piter = GetIter(input.prevout.hash);
+ if (piter) {
+ staged_ancestors.insert(**piter);
+ if (staged_ancestors.size() + package.size() > limitAncestorCount) {
+ errString = strprintf("too many unconfirmed parents [limit: %u]", limitAncestorCount);
+ return false;
+ }
+ }
+ }
+ }
+ // When multiple transactions are passed in, the ancestors and descendants of all transactions
+ // considered together must be within limits even if they are not interdependent. This may be
+ // stricter than the limits for each individual transaction.
+ setEntries setAncestors;
+ const auto ret = CalculateAncestorsAndCheckLimits(total_size, package.size(),
+ setAncestors, staged_ancestors,
+ limitAncestorCount, limitAncestorSize,
+ limitDescendantCount, limitDescendantSize, errString);
+ // It's possible to overestimate the ancestor/descendant totals.
+ if (!ret) errString.insert(0, "possibly ");
+ return ret;
+}
+
+bool CTxMemPool::CalculateMemPoolAncestors(const CTxMemPoolEntry &entry,
+ setEntries &setAncestors,
+ uint64_t limitAncestorCount,
+ uint64_t limitAncestorSize,
+ uint64_t limitDescendantCount,
+ uint64_t limitDescendantSize,
+ std::string &errString,
+ bool fSearchForParents /* = true */) const
+{
+ CTxMemPoolEntry::Parents staged_ancestors;
+ const CTransaction &tx = entry.GetTx();
+
+ if (fSearchForParents) {
+ // Get parents of this transaction that are in the mempool
+ // GetMemPoolParents() is only valid for entries in the mempool, so we
+ // iterate mapTx to find parents.
+ for (unsigned int i = 0; i < tx.vin.size(); i++) {
+ std::optional<txiter> piter = GetIter(tx.vin[i].prevout.hash);
+ if (piter) {
+ staged_ancestors.insert(**piter);
+ if (staged_ancestors.size() + 1 > limitAncestorCount) {
+ errString = strprintf("too many unconfirmed parents [limit: %u]", limitAncestorCount);
+ return false;
+ }
+ }
+ }
+ } else {
+ // If we're not searching for parents, we require this to already be an
+ // entry in the mempool and use the entry's cached parents.
+ txiter it = mapTx.iterator_to(entry);
+ staged_ancestors = it->GetMemPoolParentsConst();
+ }
+
+ return CalculateAncestorsAndCheckLimits(entry.GetTxSize(), /* entry_count */ 1,
+ setAncestors, staged_ancestors,
+ limitAncestorCount, limitAncestorSize,
+ limitDescendantCount, limitDescendantSize, errString);
+}
+
void CTxMemPool::UpdateAncestorsOf(bool add, txiter it, setEntries &setAncestors)
{
- CTxMemPoolEntry::Parents parents = it->GetMemPoolParents();
+ const CTxMemPoolEntry::Parents& parents = it->GetMemPoolParentsConst();
// add or remove this tx as a child of each parent
for (const CTxMemPoolEntry& parent : parents) {
UpdateChild(mapTx.iterator_to(parent), it, add);
@@ -503,43 +633,24 @@ void CTxMemPool::removeRecursive(const CTransaction &origTx, MemPoolRemovalReaso
RemoveStaged(setAllRemoves, false, reason);
}
-void CTxMemPool::removeForReorg(CChainState& active_chainstate, int flags)
+void CTxMemPool::removeForReorg(CChain& chain, std::function<bool(txiter)> check_final_and_mature)
{
// Remove transactions spending a coinbase which are now immature and no-longer-final transactions
AssertLockHeld(cs);
+ AssertLockHeld(::cs_main);
+
setEntries txToRemove;
for (indexed_transaction_set::const_iterator it = mapTx.begin(); it != mapTx.end(); it++) {
- const CTransaction& tx = it->GetTx();
- LockPoints lp = it->GetLockPoints();
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
- bool validLP = TestLockPointValidity(active_chainstate.m_chain, &lp);
- if (!CheckFinalTx(active_chainstate.m_chain.Tip(), tx, flags) || !CheckSequenceLocks(active_chainstate, *this, tx, flags, &lp, validLP)) {
- // Note if CheckSequenceLocks fails the LockPoints may still be invalid
- // So it's critical that we remove the tx and not depend on the LockPoints.
- txToRemove.insert(it);
- } else if (it->GetSpendsCoinbase()) {
- for (const CTxIn& txin : tx.vin) {
- indexed_transaction_set::const_iterator it2 = mapTx.find(txin.prevout.hash);
- if (it2 != mapTx.end())
- continue;
- const Coin &coin = active_chainstate.CoinsTip().AccessCoin(txin.prevout);
- if (m_check_ratio != 0) assert(!coin.IsSpent());
- unsigned int nMemPoolHeight = active_chainstate.m_chain.Tip()->nHeight + 1;
- if (coin.IsSpent() || (coin.IsCoinBase() && ((signed long)nMemPoolHeight) - coin.nHeight < COINBASE_MATURITY)) {
- txToRemove.insert(it);
- break;
- }
- }
- }
- if (!validLP) {
- mapTx.modify(it, update_lock_points(lp));
- }
+ if (check_final_and_mature(it)) txToRemove.insert(it);
}
setEntries setAllRemoves;
for (txiter it : txToRemove) {
CalculateDescendants(it, setAllRemoves);
}
RemoveStaged(setAllRemoves, false, MemPoolRemovalReason::REORG);
+ for (indexed_transaction_set::const_iterator it = mapTx.begin(); it != mapTx.end(); it++) {
+ assert(TestLockPointValidity(chain, it->GetLockPoints()));
+ }
}
void CTxMemPool::removeConflicts(const CTransaction &tx)
@@ -610,16 +721,7 @@ void CTxMemPool::clear()
_clear();
}
-static void CheckInputsAndUpdateCoins(const CTransaction& tx, CCoinsViewCache& mempoolDuplicate, const int64_t spendheight)
-{
- TxValidationState dummy_state; // Not used. CheckTxInputs() should always pass
- CAmount txfee = 0;
- bool fCheckResult = tx.IsCoinBase() || Consensus::CheckTxInputs(tx, dummy_state, mempoolDuplicate, spendheight, txfee);
- assert(fCheckResult);
- UpdateCoins(tx, mempoolDuplicate, std::numeric_limits<int>::max());
-}
-
-void CTxMemPool::check(CChainState& active_chainstate) const
+void CTxMemPool::check(const CCoinsViewCache& active_coins_tip, int64_t spendheight) const
{
if (m_check_ratio == 0) return;
@@ -632,22 +734,16 @@ void CTxMemPool::check(CChainState& active_chainstate) const
uint64_t checkTotal = 0;
CAmount check_total_fee{0};
uint64_t innerUsage = 0;
+ uint64_t prev_ancestor_count{0};
- CCoinsViewCache& active_coins_tip = active_chainstate.CoinsTip();
- assert(std::addressof(::ChainstateActive().CoinsTip()) == std::addressof(active_coins_tip)); // TODO: REVIEW-ONLY, REMOVE IN FUTURE COMMIT
CCoinsViewCache mempoolDuplicate(const_cast<CCoinsViewCache*>(&active_coins_tip));
- const int64_t spendheight = active_chainstate.m_chain.Height() + 1;
- assert(g_chainman.m_blockman.GetSpendHeight(mempoolDuplicate) == spendheight); // TODO: REVIEW-ONLY, REMOVE IN FUTURE COMMIT
- std::list<const CTxMemPoolEntry*> waitingOnDependants;
- for (indexed_transaction_set::const_iterator it = mapTx.begin(); it != mapTx.end(); it++) {
- unsigned int i = 0;
+ for (const auto& it : GetSortedDepthAndScore()) {
checkTotal += it->GetTxSize();
check_total_fee += it->GetFee();
innerUsage += it->DynamicMemoryUsage();
const CTransaction& tx = it->GetTx();
innerUsage += memusage::DynamicUsage(it->GetMemPoolParentsConst()) + memusage::DynamicUsage(it->GetMemPoolChildrenConst());
- bool fDependsWait = false;
CTxMemPoolEntry::Parents setParentCheck;
for (const CTxIn &txin : tx.vin) {
// Check that every mempool transaction's inputs refer to available coins, or other mempool tx's.
@@ -655,17 +751,17 @@ void CTxMemPool::check(CChainState& active_chainstate) const
if (it2 != mapTx.end()) {
const CTransaction& tx2 = it2->GetTx();
assert(tx2.vout.size() > txin.prevout.n && !tx2.vout[txin.prevout.n].IsNull());
- fDependsWait = true;
setParentCheck.insert(*it2);
- } else {
- assert(active_coins_tip.HaveCoin(txin.prevout));
}
+ // We are iterating through the mempool entries sorted in order by ancestor count.
+ // All parents must have been checked before their children and their coins added to
+ // the mempoolDuplicate coins cache.
+ assert(mempoolDuplicate.HaveCoin(txin.prevout));
// Check whether its inputs are marked in mapNextTx.
auto it3 = mapNextTx.find(txin.prevout);
assert(it3 != mapNextTx.end());
assert(it3->first == &txin.prevout);
assert(it3->second == &tx);
- i++;
}
auto comp = [](const CTxMemPoolEntry& a, const CTxMemPoolEntry& b) -> bool {
return a.GetTx().GetHash() == b.GetTx().GetHash();
@@ -692,6 +788,9 @@ void CTxMemPool::check(CChainState& active_chainstate) const
assert(it->GetSizeWithAncestors() == nSizeCheck);
assert(it->GetSigOpCostWithAncestors() == nSigOpCheck);
assert(it->GetModFeesWithAncestors() == nFeesCheck);
+ // Sanity check: we are walking in ascending ancestor count order.
+ assert(prev_ancestor_count <= it->GetCountWithAncestors());
+ prev_ancestor_count = it->GetCountWithAncestors();
// Check children against mapNextTx
CTxMemPoolEntry::Children setChildrenCheck;
@@ -710,24 +809,12 @@ void CTxMemPool::check(CChainState& active_chainstate) const
// just a sanity check, not definitive that this calc is correct...
assert(it->GetSizeWithDescendants() >= child_sizes + it->GetTxSize());
- if (fDependsWait)
- waitingOnDependants.push_back(&(*it));
- else {
- CheckInputsAndUpdateCoins(tx, mempoolDuplicate, spendheight);
- }
- }
- unsigned int stepsSinceLastRemove = 0;
- while (!waitingOnDependants.empty()) {
- const CTxMemPoolEntry* entry = waitingOnDependants.front();
- waitingOnDependants.pop_front();
- if (!mempoolDuplicate.HaveInputs(entry->GetTx())) {
- waitingOnDependants.push_back(entry);
- stepsSinceLastRemove++;
- assert(stepsSinceLastRemove < waitingOnDependants.size());
- } else {
- CheckInputsAndUpdateCoins(entry->GetTx(), mempoolDuplicate, spendheight);
- stepsSinceLastRemove = 0;
- }
+ TxValidationState dummy_state; // Not used. CheckTxInputs() should always pass
+ CAmount txfee = 0;
+ assert(!tx.IsCoinBase());
+ assert(Consensus::CheckTxInputs(tx, dummy_state, mempoolDuplicate, spendheight, txfee));
+ for (const auto& input: tx.vin) mempoolDuplicate.SpendCoin(input.prevout);
+ AddCoins(mempoolDuplicate, tx, std::numeric_limits<int>::max());
}
for (auto it = mapNextTx.cbegin(); it != mapNextTx.cend(); it++) {
uint256 hash = it->second->GetHash();
@@ -836,8 +923,6 @@ TxMempoolInfo CTxMemPool::info(const GenTxid& gtxid) const
return GetInfo(i);
}
-TxMempoolInfo CTxMemPool::info(const uint256& txid) const { return info(GenTxid{false, txid}); }
-
void CTxMemPool::PrioritiseTransaction(const uint256& hash, const CAmount& nFeeDelta)
{
{
@@ -865,7 +950,7 @@ void CTxMemPool::PrioritiseTransaction(const uint256& hash, const CAmount& nFeeD
++nTransactionsUpdated;
}
}
- LogPrintf("PrioritiseTransaction: %s feerate += %s\n", hash.ToString(), FormatMoney(nFeeDelta));
+ LogPrintf("PrioritiseTransaction: %s fee += %s\n", hash.ToString(), FormatMoney(nFeeDelta));
}
void CTxMemPool::ApplyDelta(const uint256& hash, CAmount &nFeeDelta) const
@@ -890,11 +975,11 @@ const CTransaction* CTxMemPool::GetConflictTx(const COutPoint& prevout) const
return it == mapNextTx.end() ? nullptr : it->second;
}
-Optional<CTxMemPool::txiter> CTxMemPool::GetIter(const uint256& txid) const
+std::optional<CTxMemPool::txiter> CTxMemPool::GetIter(const uint256& txid) const
{
auto it = mapTx.find(txid);
if (it != mapTx.end()) return it;
- return Optional<txiter>{};
+ return std::nullopt;
}
CTxMemPool::setEntries CTxMemPool::GetIterSet(const std::set<uint256>& hashes) const
@@ -910,7 +995,7 @@ CTxMemPool::setEntries CTxMemPool::GetIterSet(const std::set<uint256>& hashes) c
bool CTxMemPool::HasNoInputsOf(const CTransaction &tx) const
{
for (unsigned int i = 0; i < tx.vin.size(); i++)
- if (exists(tx.vin[i].prevout.hash))
+ if (exists(GenTxid::Txid(tx.vin[i].prevout.hash)))
return false;
return true;
}
@@ -918,6 +1003,13 @@ bool CTxMemPool::HasNoInputsOf(const CTransaction &tx) const
CCoinsViewMemPool::CCoinsViewMemPool(CCoinsView* baseIn, const CTxMemPool& mempoolIn) : CCoinsViewBacked(baseIn), mempool(mempoolIn) { }
bool CCoinsViewMemPool::GetCoin(const COutPoint &outpoint, Coin &coin) const {
+ // Check to see if the inputs are made available by another tx in the package.
+ // These Coins would not be available in the underlying CoinsView.
+ if (auto it = m_temp_added.find(outpoint); it != m_temp_added.end()) {
+ coin = it->second;
+ return true;
+ }
+
// If an entry in the mempool exists, always return that one, as it's guaranteed to never
// conflict with the underlying cache, and it cannot have pruned entries (as it contains full)
// transactions. First checking the underlying cache risks returning a pruned entry instead.
@@ -933,6 +1025,13 @@ bool CCoinsViewMemPool::GetCoin(const COutPoint &outpoint, Coin &coin) const {
return base->GetCoin(outpoint, coin);
}
+void CCoinsViewMemPool::PackageAddTransaction(const CTransactionRef& tx)
+{
+ for (unsigned int n = 0; n < tx->vout.size(); ++n) {
+ m_temp_added.emplace(COutPoint(tx->GetHash(), n), Coin(tx->vout[n], MEMPOOL_HEIGHT, false));
+ }
+}
+
size_t CTxMemPool::DynamicMemoryUsage() const {
LOCK(cs);
// Estimate the overhead of mapTx to be 15 pointers + an allocation, as no exact formula for boost::multi_index_contained is implemented.
@@ -1067,7 +1166,7 @@ void CTxMemPool::TrimToSize(size_t sizelimit, std::vector<COutPoint>* pvNoSpends
if (pvNoSpendsRemaining) {
for (const CTransaction& tx : txn) {
for (const CTxIn& txin : tx.vin) {
- if (exists(txin.prevout.hash)) continue;
+ if (exists(GenTxid::Txid(txin.prevout.hash))) continue;
pvNoSpendsRemaining->push_back(txin.prevout);
}
}
@@ -1101,12 +1200,14 @@ uint64_t CTxMemPool::CalculateDescendantMaximum(txiter entry) const {
return maximum;
}
-void CTxMemPool::GetTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants) const {
+void CTxMemPool::GetTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants, size_t* const ancestorsize, CAmount* const ancestorfees) const {
LOCK(cs);
auto it = mapTx.find(txid);
ancestors = descendants = 0;
if (it != mapTx.end()) {
ancestors = it->GetCountWithAncestors();
+ if (ancestorsize) *ancestorsize = it->GetSizeWithAncestors();
+ if (ancestorfees) *ancestorfees = it->GetModFeesWithAncestors();
descendants = CalculateDescendantMaximum(it);
}
}
diff --git a/src/txmempool.h b/src/txmempool.h
index 8a96294192..e7e5a3c402 100644
--- a/src/txmempool.h
+++ b/src/txmempool.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,49 +8,53 @@
#include <atomic>
#include <map>
+#include <optional>
#include <set>
#include <string>
#include <utility>
#include <vector>
-#include <amount.h>
#include <coins.h>
+#include <consensus/amount.h>
#include <indirectmap.h>
-#include <optional.h>
#include <policy/feerate.h>
+#include <policy/packages.h>
#include <primitives/transaction.h>
#include <random.h>
#include <sync.h>
#include <util/epochguard.h>
#include <util/hasher.h>
-#include <boost/multi_index_container.hpp>
#include <boost/multi_index/hashed_index.hpp>
#include <boost/multi_index/ordered_index.hpp>
#include <boost/multi_index/sequenced_index.hpp>
+#include <boost/multi_index_container.hpp>
class CBlockIndex;
+class CChain;
class CChainState;
extern RecursiveMutex cs_main;
/** Fake height value used in Coin to signify they are only in the memory pool (since 0.8) */
static const uint32_t MEMPOOL_HEIGHT = 0x7FFFFFFF;
-struct LockPoints
-{
+struct LockPoints {
// Will be set to the blockchain height and median time past
// values that would be necessary to satisfy all relative locktime
// constraints (BIP68) of this tx given our view of block chain history
- int height;
- int64_t time;
+ int height{0};
+ int64_t time{0};
// As long as the current chain descends from the highest height block
// containing one of the inputs used in the calculation, then the cached
// values are still valid even after a reorg.
- CBlockIndex* maxInputBlock;
-
- LockPoints() : height(0), time(0), maxInputBlock(nullptr) { }
+ CBlockIndex* maxInputBlock{nullptr};
};
+/**
+ * Test whether the LockPoints height and time are still valid on the current chain
+ */
+bool TestLockPointValidity(CChain& active_chain, const LockPoints& lp) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
struct CompareIteratorByHash {
// SFINAE for T where T is either a pointer type (e.g., a txiter) or a reference_wrapper<T>
// (e.g. a wrapped CTxMemPoolEntry&)
@@ -97,27 +101,27 @@ private:
const unsigned int entryHeight; //!< Chain height when entering the mempool
const bool spendsCoinbase; //!< keep track of transactions that spend a coinbase
const int64_t sigOpCost; //!< Total sigop cost
- int64_t feeDelta; //!< Used for determining the priority of the transaction for mining in a block
+ int64_t feeDelta{0}; //!< Used for determining the priority of the transaction for mining in a block
LockPoints lockPoints; //!< Track the height and time at which tx was final
// Information about descendants of this transaction that are in the
// mempool; if we remove this transaction we must remove all of these
// descendants as well.
- uint64_t nCountWithDescendants; //!< number of descendant transactions
+ uint64_t nCountWithDescendants{1}; //!< number of descendant transactions
uint64_t nSizeWithDescendants; //!< ... and size
CAmount nModFeesWithDescendants; //!< ... and total fees (all including us)
// Analogous statistics for ancestor transactions
- uint64_t nCountWithAncestors;
+ uint64_t nCountWithAncestors{1};
uint64_t nSizeWithAncestors;
CAmount nModFeesWithAncestors;
int64_t nSigOpCostWithAncestors;
public:
- CTxMemPoolEntry(const CTransactionRef& _tx, const CAmount& _nFee,
- int64_t _nTime, unsigned int _entryHeight,
- bool spendsCoinbase,
- int64_t nSigOpsCost, LockPoints lp);
+ CTxMemPoolEntry(const CTransactionRef& tx, CAmount fee,
+ int64_t time, unsigned int entry_height,
+ bool spends_coinbase,
+ int64_t sigops_cost, LockPoints lp);
const CTransaction& GetTx() const { return *this->tx; }
CTransactionRef GetSharedTx() const { return this->tx; }
@@ -161,58 +165,6 @@ public:
mutable Epoch::Marker m_epoch_marker; //!< epoch when last touched, useful for graph algorithms
};
-// Helpers for modifying CTxMemPool::mapTx, which is a boost multi_index.
-struct update_descendant_state
-{
- update_descendant_state(int64_t _modifySize, CAmount _modifyFee, int64_t _modifyCount) :
- modifySize(_modifySize), modifyFee(_modifyFee), modifyCount(_modifyCount)
- {}
-
- void operator() (CTxMemPoolEntry &e)
- { e.UpdateDescendantState(modifySize, modifyFee, modifyCount); }
-
- private:
- int64_t modifySize;
- CAmount modifyFee;
- int64_t modifyCount;
-};
-
-struct update_ancestor_state
-{
- update_ancestor_state(int64_t _modifySize, CAmount _modifyFee, int64_t _modifyCount, int64_t _modifySigOpsCost) :
- modifySize(_modifySize), modifyFee(_modifyFee), modifyCount(_modifyCount), modifySigOpsCost(_modifySigOpsCost)
- {}
-
- void operator() (CTxMemPoolEntry &e)
- { e.UpdateAncestorState(modifySize, modifyFee, modifyCount, modifySigOpsCost); }
-
- private:
- int64_t modifySize;
- CAmount modifyFee;
- int64_t modifyCount;
- int64_t modifySigOpsCost;
-};
-
-struct update_fee_delta
-{
- explicit update_fee_delta(int64_t _feeDelta) : feeDelta(_feeDelta) { }
-
- void operator() (CTxMemPoolEntry &e) { e.UpdateFeeDelta(feeDelta); }
-
-private:
- int64_t feeDelta;
-};
-
-struct update_lock_points
-{
- explicit update_lock_points(const LockPoints& _lp) : lp(_lp) { }
-
- void operator() (CTxMemPoolEntry &e) { e.UpdateLockPoints(lp); }
-
-private:
- const LockPoints& lp;
-};
-
// extracts a transaction hash from CTxMemPoolEntry or CTransactionRef
struct mempoolentry_txid
{
@@ -476,24 +428,24 @@ enum class MemPoolRemovalReason {
*/
class CTxMemPool
{
-private:
+protected:
const int m_check_ratio; //!< Value n means that 1 times in n we check.
std::atomic<unsigned int> nTransactionsUpdated{0}; //!< Used by getblocktemplate to trigger CreateNewBlock() invocation
- CBlockPolicyEstimator* minerPolicyEstimator;
+ CBlockPolicyEstimator* const minerPolicyEstimator;
uint64_t totalTxSize GUARDED_BY(cs); //!< sum of all mempool tx's virtual sizes. Differs from serialized tx size since witness data is discounted. Defined in BIP 141.
CAmount m_total_fee GUARDED_BY(cs); //!< sum of all mempool tx's fees (NOT modified fee)
uint64_t cachedInnerUsage GUARDED_BY(cs); //!< sum of dynamic memory usage of all the map elements (NOT the maps themselves)
- mutable int64_t lastRollingFeeUpdate;
- mutable bool blockSinceLastRollingFeeBump;
- mutable double rollingMinimumFeeRate; //!< minimum fee to get into the pool, decreases exponentially
+ mutable int64_t lastRollingFeeUpdate GUARDED_BY(cs);
+ mutable bool blockSinceLastRollingFeeBump GUARDED_BY(cs);
+ mutable double rollingMinimumFeeRate GUARDED_BY(cs); //!< minimum fee to get into the pool, decreases exponentially
mutable Epoch m_epoch GUARDED_BY(cs);
// In-memory counter for external mempool tracking purposes.
// This number is incremented once every time a transaction
// is added or removed from the mempool for any reason.
- mutable uint64_t m_sequence_number{1};
+ mutable uint64_t m_sequence_number GUARDED_BY(cs){1};
void trackPackageRemoved(const CFeeRate& rate) EXCLUSIVE_LOCKS_REQUIRED(cs);
@@ -544,7 +496,7 @@ public:
* By design, it is guaranteed that:
*
* 1. Locking both `cs_main` and `mempool.cs` will give a view of mempool
- * that is consistent with current chain tip (`::ChainActive()` and
+ * that is consistent with current chain tip (`ActiveChain()` and
* `CoinsTip()`) and is fully populated. Fully populated means that if the
* current active chain is missing transactions that were present in a
* previously active chain, all the missing transactions will have been
@@ -585,9 +537,28 @@ private:
*/
std::set<uint256> m_unbroadcast_txids GUARDED_BY(cs);
+
+ /**
+ * Helper function to calculate all in-mempool ancestors of staged_ancestors and apply ancestor
+ * and descendant limits (including staged_ancestors thsemselves, entry_size and entry_count).
+ * param@[in] entry_size Virtual size to include in the limits.
+ * param@[in] entry_count How many entries to include in the limits.
+ * param@[in] staged_ancestors Should contain entries in the mempool.
+ * param@[out] setAncestors Will be populated with all mempool ancestors.
+ */
+ bool CalculateAncestorsAndCheckLimits(size_t entry_size,
+ size_t entry_count,
+ setEntries& setAncestors,
+ CTxMemPoolEntry::Parents &staged_ancestors,
+ uint64_t limitAncestorCount,
+ uint64_t limitAncestorSize,
+ uint64_t limitDescendantCount,
+ uint64_t limitDescendantSize,
+ std::string &errString) const EXCLUSIVE_LOCKS_REQUIRED(cs);
+
public:
indirectmap<COutPoint, const CTransaction*> mapNextTx GUARDED_BY(cs);
- std::map<uint256, CAmount> mapDeltas;
+ std::map<uint256, CAmount> mapDeltas GUARDED_BY(cs);
/** Create a new CTxMemPool.
* Sanity checks will be off by default for performance, because otherwise
@@ -605,7 +576,7 @@ public:
* all inputs are in the mapNextTx array). If sanity-checking is turned off,
* check does nothing.
*/
- void check(CChainState& active_chainstate) const EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
+ void check(const CCoinsViewCache& active_coins_tip, int64_t spendheight) const EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
// addUnchecked must updated state for all ancestors of a given transaction,
// to track size/count of descendant transactions. First version of
@@ -618,7 +589,14 @@ public:
void addUnchecked(const CTxMemPoolEntry& entry, setEntries& setAncestors, bool validFeeEstimate = true) EXCLUSIVE_LOCKS_REQUIRED(cs, cs_main);
void removeRecursive(const CTransaction& tx, MemPoolRemovalReason reason) EXCLUSIVE_LOCKS_REQUIRED(cs);
- void removeForReorg(CChainState& active_chainstate, int flags) EXCLUSIVE_LOCKS_REQUIRED(cs, cs_main);
+ /** After reorg, filter the entries that would no longer be valid in the next block, and update
+ * the entries' cached LockPoints if needed. The mempool does not have any knowledge of
+ * consensus rules. It just appplies the callable function and removes the ones for which it
+ * returns true.
+ * @param[in] filter_final_and_mature Predicate that checks the relevant validation rules
+ * and updates an entry's LockPoints.
+ * */
+ void removeForReorg(CChain& chain, std::function<bool(txiter)> filter_final_and_mature) EXCLUSIVE_LOCKS_REQUIRED(cs, cs_main);
void removeConflicts(const CTransaction& tx) EXCLUSIVE_LOCKS_REQUIRED(cs);
void removeForBlock(const std::vector<CTransactionRef>& vtx, unsigned int nBlockHeight) EXCLUSIVE_LOCKS_REQUIRED(cs);
@@ -644,7 +622,7 @@ public:
const CTransaction* GetConflictTx(const COutPoint& prevout) const EXCLUSIVE_LOCKS_REQUIRED(cs);
/** Returns an iterator to the given hash, if found */
- Optional<txiter> GetIter(const uint256& txid) const EXCLUSIVE_LOCKS_REQUIRED(cs);
+ std::optional<txiter> GetIter(const uint256& txid) const EXCLUSIVE_LOCKS_REQUIRED(cs);
/** Translate a set of hashes into a set of pool iterators to avoid repeated lookups */
setEntries GetIterSet(const std::set<uint256>& hashes) const EXCLUSIVE_LOCKS_REQUIRED(cs);
@@ -658,16 +636,25 @@ public:
*/
void RemoveStaged(setEntries& stage, bool updateDescendants, MemPoolRemovalReason reason) EXCLUSIVE_LOCKS_REQUIRED(cs);
- /** When adding transactions from a disconnected block back to the mempool,
- * new mempool entries may have children in the mempool (which is generally
- * not the case when otherwise adding transactions).
- * UpdateTransactionsFromBlock() will find child transactions and update the
- * descendant state for each transaction in vHashesToUpdate (excluding any
- * child transactions present in vHashesToUpdate, which are already accounted
- * for). Note: vHashesToUpdate should be the set of transactions from the
- * disconnected block that have been accepted back into the mempool.
+ /** UpdateTransactionsFromBlock is called when adding transactions from a
+ * disconnected block back to the mempool, new mempool entries may have
+ * children in the mempool (which is generally not the case when otherwise
+ * adding transactions).
+ * @post updated descendant state for descendants of each transaction in
+ * vHashesToUpdate (excluding any child transactions present in
+ * vHashesToUpdate, which are already accounted for). Updated state
+ * includes add fee/size information for such descendants to the
+ * parent and updated ancestor state to include the parent.
+ *
+ * @param[in] vHashesToUpdate The set of txids from the
+ * disconnected block that have been accepted back into the mempool.
+ * @param[in] ancestor_size_limit The maximum allowed size in virtual
+ * bytes of an entry and its ancestors
+ * @param[in] ancestor_count_limit The maximum allowed number of
+ * transactions including the entry and its ancestors.
*/
- void UpdateTransactionsFromBlock(const std::vector<uint256>& vHashesToUpdate) EXCLUSIVE_LOCKS_REQUIRED(cs, cs_main) LOCKS_EXCLUDED(m_epoch);
+ void UpdateTransactionsFromBlock(const std::vector<uint256>& vHashesToUpdate,
+ uint64_t ancestor_size_limit, uint64_t ancestor_count_limit) EXCLUSIVE_LOCKS_REQUIRED(cs, cs_main) LOCKS_EXCLUDED(m_epoch);
/** Try to calculate all in-mempool ancestors of entry.
* (these are all calculated including the tx itself)
@@ -681,6 +668,28 @@ public:
*/
bool CalculateMemPoolAncestors(const CTxMemPoolEntry& entry, setEntries& setAncestors, uint64_t limitAncestorCount, uint64_t limitAncestorSize, uint64_t limitDescendantCount, uint64_t limitDescendantSize, std::string& errString, bool fSearchForParents = true) const EXCLUSIVE_LOCKS_REQUIRED(cs);
+ /** Calculate all in-mempool ancestors of a set of transactions not already in the mempool and
+ * check ancestor and descendant limits. Heuristics are used to estimate the ancestor and
+ * descendant count of all entries if the package were to be added to the mempool. The limits
+ * are applied to the union of all package transactions. For example, if the package has 3
+ * transactions and limitAncestorCount = 25, the union of all 3 sets of ancestors (including the
+ * transactions themselves) must be <= 22.
+ * @param[in] package Transaction package being evaluated for acceptance
+ * to mempool. The transactions need not be direct
+ * ancestors/descendants of each other.
+ * @param[in] limitAncestorCount Max number of txns including ancestors.
+ * @param[in] limitAncestorSize Max virtual size including ancestors.
+ * @param[in] limitDescendantCount Max number of txns including descendants.
+ * @param[in] limitDescendantSize Max virtual size including descendants.
+ * @param[out] errString Populated with error reason if a limit is hit.
+ */
+ bool CheckPackageLimits(const Package& package,
+ uint64_t limitAncestorCount,
+ uint64_t limitAncestorSize,
+ uint64_t limitDescendantCount,
+ uint64_t limitDescendantSize,
+ std::string &errString) const EXCLUSIVE_LOCKS_REQUIRED(cs);
+
/** Populate setDescendants with all in-mempool descendants of hash.
* Assumes that setDescendants includes all in-mempool descendants of anything
* already in it. */
@@ -706,8 +715,10 @@ public:
/**
* Calculate the ancestor and descendant count for the given transaction.
* The counts include the transaction itself.
+ * When ancestors is non-zero (ie, the transaction itself is in the mempool),
+ * ancestorsize and ancestorfees will also be set to the appropriate values.
*/
- void GetTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants) const;
+ void GetTransactionAncestry(const uint256& txid, size_t& ancestors, size_t& descendants, size_t* ancestorsize = nullptr, CAmount* ancestorfees = nullptr) const;
/** @returns true if the mempool is fully loaded */
bool IsLoaded() const;
@@ -741,7 +752,6 @@ public:
}
return (mapTx.count(gtxid.GetHash()) != 0);
}
- bool exists(const uint256& txid) const { return exists(GenTxid{false, txid}); }
CTransactionRef get(const uint256& hash) const;
txiter get_iter_from_wtxid(const uint256& wtxid) const EXCLUSIVE_LOCKS_REQUIRED(cs)
@@ -749,7 +759,6 @@ public:
AssertLockHeld(cs);
return mapTx.project<0>(mapTx.get<index_by_wtxid>().find(wtxid));
}
- TxMempoolInfo info(const uint256& hash) const;
TxMempoolInfo info(const GenTxid& gtxid) const;
std::vector<TxMempoolInfo> infoAll() const;
@@ -761,7 +770,7 @@ public:
LOCK(cs);
// Sanity check the transaction is in the mempool & insert into
// unbroadcast set.
- if (exists(txid)) m_unbroadcast_txids.insert(txid);
+ if (exists(GenTxid::Txid(txid))) m_unbroadcast_txids.insert(txid);
};
/** Removes a transaction from the unbroadcast set */
@@ -794,19 +803,38 @@ private:
/** UpdateForDescendants is used by UpdateTransactionsFromBlock to update
* the descendants for a single transaction that has been added to the
* mempool but may have child transactions in the mempool, eg during a
- * chain reorg. setExclude is the set of descendant transactions in the
- * mempool that must not be accounted for (because any descendants in
- * setExclude were added to the mempool after the transaction being
- * updated and hence their state is already reflected in the parent
- * state).
+ * chain reorg.
*
- * cachedDescendants will be updated with the descendants of the transaction
- * being updated, so that future invocations don't need to walk the
- * same transaction again, if encountered in another transaction chain.
+ * @pre CTxMemPool::m_children is correct for the given tx and all
+ * descendants.
+ * @pre cachedDescendants is an accurate cache where each entry has all
+ * descendants of the corresponding key, including those that should
+ * be removed for violation of ancestor limits.
+ * @post if updateIt has any non-excluded descendants, cachedDescendants has
+ * a new cache line for updateIt.
+ * @post descendants_to_remove has a new entry for any descendant which exceeded
+ * ancestor limits relative to updateIt.
+ *
+ * @param[in] updateIt the entry to update for its descendants
+ * @param[in,out] cachedDescendants a cache where each line corresponds to all
+ * descendants. It will be updated with the descendants of the transaction
+ * being updated, so that future invocations don't need to walk the same
+ * transaction again, if encountered in another transaction chain.
+ * @param[in] setExclude the set of descendant transactions in the mempool
+ * that must not be accounted for (because any descendants in setExclude
+ * were added to the mempool after the transaction being updated and hence
+ * their state is already reflected in the parent state).
+ * @param[out] descendants_to_remove Populated with the txids of entries that
+ * exceed ancestor limits. It's the responsibility of the caller to
+ * removeRecursive them.
+ * @param[in] ancestor_size_limit the max number of ancestral bytes allowed
+ * for any descendant
+ * @param[in] ancestor_count_limit the max number of ancestor transactions
+ * allowed for any descendant
*/
- void UpdateForDescendants(txiter updateIt,
- cacheMap &cachedDescendants,
- const std::set<uint256> &setExclude) EXCLUSIVE_LOCKS_REQUIRED(cs);
+ void UpdateForDescendants(txiter updateIt, cacheMap& cachedDescendants,
+ const std::set<uint256>& setExclude, std::set<uint256>& descendants_to_remove,
+ uint64_t ancestor_size_limit, uint64_t ancestor_count_limit) EXCLUSIVE_LOCKS_REQUIRED(cs);
/** Update ancestors of hash to add/remove it as a descendant transaction. */
void UpdateAncestorsOf(bool add, txiter hash, setEntries &setAncestors) EXCLUSIVE_LOCKS_REQUIRED(cs);
/** Set ancestor state for an entry */
@@ -841,7 +869,7 @@ public:
return m_epoch.visited(it->m_epoch_marker);
}
- bool visited(Optional<txiter> it) const EXCLUSIVE_LOCKS_REQUIRED(cs, m_epoch)
+ bool visited(std::optional<txiter> it) const EXCLUSIVE_LOCKS_REQUIRED(cs, m_epoch)
{
assert(m_epoch.guarded()); // verify guard even when it==nullopt
return !it || visited(*it);
@@ -852,7 +880,8 @@ public:
* CCoinsView that brings transactions from a mempool into view.
* It does not check for spendings by memory pool transactions.
* Instead, it provides access to all Coins which are either unspent in the
- * base CCoinsView, or are outputs from any mempool transaction!
+ * base CCoinsView, are outputs from any mempool transaction, or are
+ * tracked temporarily to allow transaction dependencies in package validation.
* This allows transaction replacement to work as expected, as you want to
* have all inputs "available" to check signatures, and any cycles in the
* dependency graph are checked directly in AcceptToMemoryPool.
@@ -862,12 +891,20 @@ public:
*/
class CCoinsViewMemPool : public CCoinsViewBacked
{
+ /**
+ * Coins made available by transactions being validated. Tracking these allows for package
+ * validation, since we can access transaction outputs without submitting them to mempool.
+ */
+ std::unordered_map<COutPoint, Coin, SaltedOutpointHasher> m_temp_added;
protected:
const CTxMemPool& mempool;
public:
CCoinsViewMemPool(CCoinsView* baseIn, const CTxMemPool& mempoolIn);
bool GetCoin(const COutPoint &outpoint, Coin &coin) const override;
+ /** Add the coins created by this transaction. These coins are only temporarily stored in
+ * m_temp_added and cannot be flushed to the back end. Only used for package validation. */
+ void PackageAddTransaction(const CTransactionRef& tx);
};
/**
diff --git a/src/txorphanage.h b/src/txorphanage.h
index df55cdb3be..24c8318f36 100644
--- a/src/txorphanage.h
+++ b/src/txorphanage.h
@@ -24,9 +24,9 @@ public:
bool AddTx(const CTransactionRef& tx, NodeId peer) EXCLUSIVE_LOCKS_REQUIRED(g_cs_orphans);
/** Check if we already have an orphan transaction (by txid or wtxid) */
- bool HaveTx(const GenTxid& gtxid) const EXCLUSIVE_LOCKS_REQUIRED(!g_cs_orphans);
+ bool HaveTx(const GenTxid& gtxid) const LOCKS_EXCLUDED(::g_cs_orphans);
- /** Get an orphan transaction and its orginating peer
+ /** Get an orphan transaction and its originating peer
* (Transaction ref will be nullptr if not found)
*/
std::pair<CTransactionRef, NodeId> GetTx(const uint256& txid) const EXCLUSIVE_LOCKS_REQUIRED(g_cs_orphans);
@@ -38,7 +38,7 @@ public:
void EraseForPeer(NodeId peer) EXCLUSIVE_LOCKS_REQUIRED(g_cs_orphans);
/** Erase all orphans included in or invalidated by a new block */
- void EraseForBlock(const CBlock& block) EXCLUSIVE_LOCKS_REQUIRED(!g_cs_orphans);
+ void EraseForBlock(const CBlock& block) LOCKS_EXCLUDED(::g_cs_orphans);
/** Limit the orphanage to the given maximum */
unsigned int LimitOrphans(unsigned int max_orphans) EXCLUSIVE_LOCKS_REQUIRED(g_cs_orphans);
@@ -47,6 +47,13 @@ public:
* (ie orphans that may have found their final missing parent, and so should be reconsidered for the mempool) */
void AddChildrenToWorkSet(const CTransaction& tx, std::set<uint256>& orphan_work_set) const EXCLUSIVE_LOCKS_REQUIRED(g_cs_orphans);
+ /** Return how many entries exist in the orphange */
+ size_t Size() LOCKS_EXCLUDED(::g_cs_orphans)
+ {
+ LOCK(::g_cs_orphans);
+ return m_orphans.size();
+ }
+
protected:
struct OrphanTx {
CTransactionRef tx;
diff --git a/src/txrequest.cpp b/src/txrequest.cpp
index e54c073328..96a3d2eeeb 100644
--- a/src/txrequest.cpp
+++ b/src/txrequest.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,7 +9,6 @@
#include <primitives/transaction.h>
#include <random.h>
#include <uint256.h>
-#include <util/memory.h>
#include <boost/multi_index_container.hpp>
#include <boost/multi_index/ordered_index.hpp>
@@ -301,7 +300,7 @@ std::map<uint256, TxHashInfo> ComputeTxHashInfo(const Index& index, const Priori
GenTxid ToGenTxid(const Announcement& ann)
{
- return {ann.m_is_wtxid, ann.m_txhash};
+ return ann.m_is_wtxid ? GenTxid::Wtxid(ann.m_txhash) : GenTxid::Txid(ann.m_txhash);
}
} // namespace
@@ -487,7 +486,7 @@ private:
}
//! Make the data structure consistent with a given point in time:
- //! - REQUESTED annoucements with expiry <= now are turned into COMPLETED.
+ //! - REQUESTED announcements with expiry <= now are turned into COMPLETED.
//! - CANDIDATE_DELAYED announcements with reqtime <= now are turned into CANDIDATE_{READY,BEST}.
//! - CANDIDATE_{READY,BEST} announcements with reqtime > now are turned into CANDIDATE_DELAYED.
void SetTimePoint(std::chrono::microseconds now, std::vector<std::pair<NodeId, GenTxid>>* expired)
@@ -711,7 +710,7 @@ public:
};
TxRequestTracker::TxRequestTracker(bool deterministic) :
- m_impl{MakeUnique<TxRequestTracker::Impl>(deterministic)} {}
+ m_impl{std::make_unique<TxRequestTracker::Impl>(deterministic)} {}
TxRequestTracker::~TxRequestTracker() = default;
diff --git a/src/uint256.h b/src/uint256.h
index fadf2320af..5c3a2f5409 100644
--- a/src/uint256.h
+++ b/src/uint256.h
@@ -1,11 +1,13 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_UINT256_H
#define BITCOIN_UINT256_H
+#include <span.h>
+
#include <assert.h>
#include <cstring>
#include <stdint.h>
@@ -75,7 +77,7 @@ public:
return &m_data[WIDTH];
}
- unsigned int size() const
+ static constexpr unsigned int size()
{
return sizeof(m_data);
}
@@ -96,13 +98,13 @@ public:
template<typename Stream>
void Serialize(Stream& s) const
{
- s.write((char*)m_data, sizeof(m_data));
+ s.write(MakeByteSpan(m_data));
}
template<typename Stream>
void Unserialize(Stream& s)
{
- s.read((char*)m_data, sizeof(m_data));
+ s.read(MakeWritableByteSpan(m_data));
}
};
diff --git a/src/univalue/.cirrus.yml b/src/univalue/.cirrus.yml
new file mode 100644
index 0000000000..f140fee12b
--- /dev/null
+++ b/src/univalue/.cirrus.yml
@@ -0,0 +1,44 @@
+env:
+ MAKEJOBS: "-j4"
+ RUN_TESTS: "true"
+ BASE_OUTDIR: "$CIRRUS_WORKING_DIR/out_dir_base"
+ DEBIAN_FRONTEND: "noninteractive"
+
+task:
+ container:
+ image: ubuntu:focal
+ cpu: 1
+ memory: 1G
+ greedy: true # https://medium.com/cirruslabs/introducing-greedy-container-instances-29aad06dc2b4
+
+ matrix:
+ - name: "gcc"
+ env:
+ CC: "gcc"
+ CXX: "g++"
+ APT_PKGS: "gcc"
+ - name: "clang"
+ env:
+ CC: "clang"
+ CXX: "clang++"
+ APT_PKGS: "clang"
+ - name: "mingw"
+ env:
+ CC: ""
+ CXX: ""
+ UNIVALUE_CONFIG: "--host=x86_64-w64-mingw32"
+ APT_PKGS: "g++-mingw-w64-x86-64 gcc-mingw-w64-x86-64 binutils-mingw-w64-x86-64"
+ RUN_TESTS: "false"
+
+ install_script:
+ - apt update
+ - apt install -y pkg-config build-essential libtool autotools-dev automake bsdmainutils
+ - apt install -y $APT_PKGS
+ autogen_script:
+ - ./autogen.sh
+ configure_script:
+ - ./configure --cache-file=config.cache --bindir=$BASE_OUTDIR/bin --libdir=$BASE_OUTDIR/lib $UNIVALUE_CONFIG
+ make_script:
+ - make $MAKEJOBS V=1
+ test_script:
+ - if [ "$RUN_TESTS" = "true" ]; then make $MAKEJOBS distcheck; fi
diff --git a/src/univalue/.travis.yml b/src/univalue/.travis.yml
deleted file mode 100644
index 43a1ed362e..0000000000
--- a/src/univalue/.travis.yml
+++ /dev/null
@@ -1,51 +0,0 @@
-language: cpp
-
-compiler:
- - clang
- - gcc
-
-os:
- - linux
- - osx
-
-sudo: false
-
-env:
- global:
- - MAKEJOBS=-j3
- - RUN_TESTS=true
- - BASE_OUTDIR=$TRAVIS_BUILD_DIR/out
-
-cache:
- apt: true
-
-addons:
- apt:
- packages:
- - pkg-config
-
-before_script:
- - if [ -n "$USE_SHELL" ]; then export CONFIG_SHELL="$USE_SHELL"; fi
- - test -n "$USE_SHELL" && eval '"$USE_SHELL" -c "./autogen.sh"' || ./autogen.sh
-
-script:
- - if [ -n "$UNIVALUE_CONFIG" ]; then unset CC; unset CXX; fi
- - OUTDIR=$BASE_OUTDIR/$TRAVIS_PULL_REQUEST/$TRAVIS_JOB_NUMBER-$HOST
- - UNIVALUE_CONFIG_ALL="--prefix=$TRAVIS_BUILD_DIR/depends/$HOST --bindir=$OUTDIR/bin --libdir=$OUTDIR/lib"
- - ./configure --cache-file=config.cache $UNIVALUE_CONFIG_ALL $UNIVALUE_CONFIG || ( cat config.log && false)
- - make -s $MAKEJOBS $GOAL || ( echo "Build failure. Verbose build follows." && make $GOAL ; false )
- - export LD_LIBRARY_PATH=$TRAVIS_BUILD_DIR/depends/$HOST/lib
- - if [ "$RUN_TESTS" = "true" ]; then make $MAKEJOBS distcheck; fi
-
-matrix:
- fast_finish: true
- include:
- - os: linux
- compiler: gcc
- env: UNIVALUE_CONFIG=--host=x86_64-w64-mingw32 RUN_TESTS=false
- addons:
- apt:
- packages:
- - g++-mingw-w64-x86-64
- - gcc-mingw-w64-x86-64
- - binutils-mingw-w64-x86-64
diff --git a/src/univalue/Makefile.am b/src/univalue/Makefile.am
index 0f5ba59954..476f14b922 100644
--- a/src/univalue/Makefile.am
+++ b/src/univalue/Makefile.am
@@ -1,20 +1,17 @@
+include sources.mk
ACLOCAL_AMFLAGS = -I build-aux/m4
-.PHONY: gen
+.PHONY: gen FORCE
.INTERMEDIATE: $(GENBIN)
-include_HEADERS = include/univalue.h
-noinst_HEADERS = lib/univalue_escapes.h lib/univalue_utffilter.h
+include_HEADERS = $(UNIVALUE_DIST_HEADERS_INT)
+noinst_HEADERS = $(UNIVALUE_LIB_HEADERS_INT)
lib_LTLIBRARIES = libunivalue.la
pkgconfigdir = $(libdir)/pkgconfig
pkgconfig_DATA = pc/libunivalue.pc
-libunivalue_la_SOURCES = \
- lib/univalue.cpp \
- lib/univalue_get.cpp \
- lib/univalue_read.cpp \
- lib/univalue_write.cpp
+libunivalue_la_SOURCES = $(UNIVALUE_LIB_SOURCES_INT)
libunivalue_la_LDFLAGS = \
-version-info $(LIBUNIVALUE_CURRENT):$(LIBUNIVALUE_REVISION):$(LIBUNIVALUE_AGE) \
@@ -30,89 +27,32 @@ $(GENBIN): $(GEN_SRCS)
@echo Building $@
$(AM_V_at)c++ -I$(top_srcdir)/include -o $@ $<
-gen: lib/univalue_escapes.h $(GENBIN)
- @echo Updating $<
+gen: $(GENBIN) FORCE
+ @echo Updating lib/univalue_escapes.h
$(AM_V_at)$(GENBIN) > lib/univalue_escapes.h
noinst_PROGRAMS = $(TESTS) test/test_json
-TEST_DATA_DIR=test
-
-test_unitester_SOURCES = test/unitester.cpp
+test_unitester_SOURCES = $(UNIVALUE_TEST_UNITESTER_INT)
test_unitester_LDADD = libunivalue.la
-test_unitester_CXXFLAGS = -I$(top_srcdir)/include -DJSON_TEST_SRC=\"$(srcdir)/$(TEST_DATA_DIR)\"
+test_unitester_CXXFLAGS = -I$(top_srcdir)/include -DJSON_TEST_SRC=\"$(srcdir)/$(UNIVALUE_TEST_DATA_DIR_INT)\"
test_unitester_LDFLAGS = -static $(LIBTOOL_APP_LDFLAGS)
-test_test_json_SOURCES = test/test_json.cpp
+test_test_json_SOURCES = $(UNIVALUE_TEST_JSON_INT)
test_test_json_LDADD = libunivalue.la
test_test_json_CXXFLAGS = -I$(top_srcdir)/include
test_test_json_LDFLAGS = -static $(LIBTOOL_APP_LDFLAGS)
-test_no_nul_SOURCES = test/no_nul.cpp
+test_no_nul_SOURCES = $(UNIVALUE_TEST_NO_NUL_INT)
test_no_nul_LDADD = libunivalue.la
test_no_nul_CXXFLAGS = -I$(top_srcdir)/include
test_no_nul_LDFLAGS = -static $(LIBTOOL_APP_LDFLAGS)
-test_object_SOURCES = test/object.cpp
+test_object_SOURCES = $(UNIVALUE_TEST_OBJECT_INT)
test_object_LDADD = libunivalue.la
test_object_CXXFLAGS = -I$(top_srcdir)/include
test_object_LDFLAGS = -static $(LIBTOOL_APP_LDFLAGS)
-TEST_FILES = \
- $(TEST_DATA_DIR)/fail10.json \
- $(TEST_DATA_DIR)/fail11.json \
- $(TEST_DATA_DIR)/fail12.json \
- $(TEST_DATA_DIR)/fail13.json \
- $(TEST_DATA_DIR)/fail14.json \
- $(TEST_DATA_DIR)/fail15.json \
- $(TEST_DATA_DIR)/fail16.json \
- $(TEST_DATA_DIR)/fail17.json \
- $(TEST_DATA_DIR)/fail18.json \
- $(TEST_DATA_DIR)/fail19.json \
- $(TEST_DATA_DIR)/fail1.json \
- $(TEST_DATA_DIR)/fail20.json \
- $(TEST_DATA_DIR)/fail21.json \
- $(TEST_DATA_DIR)/fail22.json \
- $(TEST_DATA_DIR)/fail23.json \
- $(TEST_DATA_DIR)/fail24.json \
- $(TEST_DATA_DIR)/fail25.json \
- $(TEST_DATA_DIR)/fail26.json \
- $(TEST_DATA_DIR)/fail27.json \
- $(TEST_DATA_DIR)/fail28.json \
- $(TEST_DATA_DIR)/fail29.json \
- $(TEST_DATA_DIR)/fail2.json \
- $(TEST_DATA_DIR)/fail30.json \
- $(TEST_DATA_DIR)/fail31.json \
- $(TEST_DATA_DIR)/fail32.json \
- $(TEST_DATA_DIR)/fail33.json \
- $(TEST_DATA_DIR)/fail34.json \
- $(TEST_DATA_DIR)/fail35.json \
- $(TEST_DATA_DIR)/fail36.json \
- $(TEST_DATA_DIR)/fail37.json \
- $(TEST_DATA_DIR)/fail38.json \
- $(TEST_DATA_DIR)/fail39.json \
- $(TEST_DATA_DIR)/fail40.json \
- $(TEST_DATA_DIR)/fail41.json \
- $(TEST_DATA_DIR)/fail42.json \
- $(TEST_DATA_DIR)/fail44.json \
- $(TEST_DATA_DIR)/fail45.json \
- $(TEST_DATA_DIR)/fail3.json \
- $(TEST_DATA_DIR)/fail4.json \
- $(TEST_DATA_DIR)/fail5.json \
- $(TEST_DATA_DIR)/fail6.json \
- $(TEST_DATA_DIR)/fail7.json \
- $(TEST_DATA_DIR)/fail8.json \
- $(TEST_DATA_DIR)/fail9.json \
- $(TEST_DATA_DIR)/pass1.json \
- $(TEST_DATA_DIR)/pass2.json \
- $(TEST_DATA_DIR)/pass3.json \
- $(TEST_DATA_DIR)/pass4.json \
- $(TEST_DATA_DIR)/round1.json \
- $(TEST_DATA_DIR)/round2.json \
- $(TEST_DATA_DIR)/round3.json \
- $(TEST_DATA_DIR)/round4.json \
- $(TEST_DATA_DIR)/round5.json \
- $(TEST_DATA_DIR)/round6.json \
- $(TEST_DATA_DIR)/round7.json
-
-EXTRA_DIST=$(TEST_FILES) $(GEN_SRCS)
+TEST_FILES = $(UNIVALUE_TEST_FILES_INT)
+
+EXTRA_DIST=$(UNIVALUE_TEST_FILES_INT) $(GEN_SRCS)
diff --git a/src/univalue/build-aux/m4/ax_cxx_compile_stdcxx.m4 b/src/univalue/build-aux/m4/ax_cxx_compile_stdcxx.m4
new file mode 100644
index 0000000000..f7e5137003
--- /dev/null
+++ b/src/univalue/build-aux/m4/ax_cxx_compile_stdcxx.m4
@@ -0,0 +1,962 @@
+# ===========================================================================
+# https://www.gnu.org/software/autoconf-archive/ax_cxx_compile_stdcxx.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+# AX_CXX_COMPILE_STDCXX(VERSION, [ext|noext], [mandatory|optional])
+#
+# DESCRIPTION
+#
+# Check for baseline language coverage in the compiler for the specified
+# version of the C++ standard. If necessary, add switches to CXX and
+# CXXCPP to enable support. VERSION may be '11' (for the C++11 standard)
+# or '14' (for the C++14 standard).
+#
+# The second argument, if specified, indicates whether you insist on an
+# extended mode (e.g. -std=gnu++11) or a strict conformance mode (e.g.
+# -std=c++11). If neither is specified, you get whatever works, with
+# preference for no added switch, and then for an extended mode.
+#
+# The third argument, if specified 'mandatory' or if left unspecified,
+# indicates that baseline support for the specified C++ standard is
+# required and that the macro should error out if no mode with that
+# support is found. If specified 'optional', then configuration proceeds
+# regardless, after defining HAVE_CXX${VERSION} if and only if a
+# supporting mode is found.
+#
+# LICENSE
+#
+# Copyright (c) 2008 Benjamin Kosnik <bkoz@redhat.com>
+# Copyright (c) 2012 Zack Weinberg <zackw@panix.com>
+# Copyright (c) 2013 Roy Stogner <roystgnr@ices.utexas.edu>
+# Copyright (c) 2014, 2015 Google Inc.; contributed by Alexey Sokolov <sokolov@google.com>
+# Copyright (c) 2015 Paul Norman <penorman@mac.com>
+# Copyright (c) 2015 Moritz Klammler <moritz@klammler.eu>
+# Copyright (c) 2016, 2018 Krzesimir Nowak <qdlacz@gmail.com>
+# Copyright (c) 2019 Enji Cooper <yaneurabeya@gmail.com>
+# Copyright (c) 2020 Jason Merrill <jason@redhat.com>
+#
+# Copying and distribution of this file, with or without modification, are
+# permitted in any medium without royalty provided the copyright notice
+# and this notice are preserved. This file is offered as-is, without any
+# warranty.
+
+#serial 12
+
+dnl This macro is based on the code from the AX_CXX_COMPILE_STDCXX_11 macro
+dnl (serial version number 13).
+
+AC_DEFUN([AX_CXX_COMPILE_STDCXX], [dnl
+ m4_if([$1], [11], [ax_cxx_compile_alternatives="11 0x"],
+ [$1], [14], [ax_cxx_compile_alternatives="14 1y"],
+ [$1], [17], [ax_cxx_compile_alternatives="17 1z"],
+ [m4_fatal([invalid first argument `$1' to AX_CXX_COMPILE_STDCXX])])dnl
+ m4_if([$2], [], [],
+ [$2], [ext], [],
+ [$2], [noext], [],
+ [m4_fatal([invalid second argument `$2' to AX_CXX_COMPILE_STDCXX])])dnl
+ m4_if([$3], [], [ax_cxx_compile_cxx$1_required=true],
+ [$3], [mandatory], [ax_cxx_compile_cxx$1_required=true],
+ [$3], [optional], [ax_cxx_compile_cxx$1_required=false],
+ [m4_fatal([invalid third argument `$3' to AX_CXX_COMPILE_STDCXX])])
+ AC_LANG_PUSH([C++])dnl
+ ac_success=no
+
+ m4_if([$2], [], [dnl
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features by default,
+ ax_cv_cxx_compile_cxx$1,
+ [AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [ax_cv_cxx_compile_cxx$1=yes],
+ [ax_cv_cxx_compile_cxx$1=no])])
+ if test x$ax_cv_cxx_compile_cxx$1 = xyes; then
+ ac_success=yes
+ fi])
+
+ m4_if([$2], [noext], [], [dnl
+ if test x$ac_success = xno; then
+ for alternative in ${ax_cxx_compile_alternatives}; do
+ switch="-std=gnu++${alternative}"
+ cachevar=AS_TR_SH([ax_cv_cxx_compile_cxx$1_$switch])
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features with $switch,
+ $cachevar,
+ [ac_save_CXX="$CXX"
+ CXX="$CXX $switch"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [eval $cachevar=yes],
+ [eval $cachevar=no])
+ CXX="$ac_save_CXX"])
+ if eval test x\$$cachevar = xyes; then
+ CXX="$CXX $switch"
+ if test -n "$CXXCPP" ; then
+ CXXCPP="$CXXCPP $switch"
+ fi
+ ac_success=yes
+ break
+ fi
+ done
+ fi])
+
+ m4_if([$2], [ext], [], [dnl
+ if test x$ac_success = xno; then
+ dnl HP's aCC needs +std=c++11 according to:
+ dnl http://h21007.www2.hp.com/portal/download/files/unprot/aCxx/PDF_Release_Notes/769149-001.pdf
+ dnl Cray's crayCC needs "-h std=c++11"
+ for alternative in ${ax_cxx_compile_alternatives}; do
+ for switch in -std=c++${alternative} +std=c++${alternative} "-h std=c++${alternative}"; do
+ cachevar=AS_TR_SH([ax_cv_cxx_compile_cxx$1_$switch])
+ AC_CACHE_CHECK(whether $CXX supports C++$1 features with $switch,
+ $cachevar,
+ [ac_save_CXX="$CXX"
+ CXX="$CXX $switch"
+ AC_COMPILE_IFELSE([AC_LANG_SOURCE([_AX_CXX_COMPILE_STDCXX_testbody_$1])],
+ [eval $cachevar=yes],
+ [eval $cachevar=no])
+ CXX="$ac_save_CXX"])
+ if eval test x\$$cachevar = xyes; then
+ CXX="$CXX $switch"
+ if test -n "$CXXCPP" ; then
+ CXXCPP="$CXXCPP $switch"
+ fi
+ ac_success=yes
+ break
+ fi
+ done
+ if test x$ac_success = xyes; then
+ break
+ fi
+ done
+ fi])
+ AC_LANG_POP([C++])
+ if test x$ax_cxx_compile_cxx$1_required = xtrue; then
+ if test x$ac_success = xno; then
+ AC_MSG_ERROR([*** A compiler with support for C++$1 language features is required.])
+ fi
+ fi
+ if test x$ac_success = xno; then
+ HAVE_CXX$1=0
+ AC_MSG_NOTICE([No compiler with C++$1 support was found])
+ else
+ HAVE_CXX$1=1
+ AC_DEFINE(HAVE_CXX$1,1,
+ [define if the compiler supports basic C++$1 syntax])
+ fi
+ AC_SUBST(HAVE_CXX$1)
+])
+
+
+dnl Test body for checking C++11 support
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_11],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+)
+
+
+dnl Test body for checking C++14 support
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_14],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_14
+)
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_17],
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_11
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_14
+ _AX_CXX_COMPILE_STDCXX_testbody_new_in_17
+)
+
+dnl Tests for new features in C++11
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_11], [[
+
+// If the compiler admits that it is not ready for C++11, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201103L
+
+#error "This is not a C++11 compiler"
+
+#else
+
+namespace cxx11
+{
+
+ namespace test_static_assert
+ {
+
+ template <typename T>
+ struct check
+ {
+ static_assert(sizeof(int) <= sizeof(T), "not big enough");
+ };
+
+ }
+
+ namespace test_final_override
+ {
+
+ struct Base
+ {
+ virtual ~Base() {}
+ virtual void f() {}
+ };
+
+ struct Derived : public Base
+ {
+ virtual ~Derived() override {}
+ virtual void f() override {}
+ };
+
+ }
+
+ namespace test_double_right_angle_brackets
+ {
+
+ template < typename T >
+ struct check {};
+
+ typedef check<void> single_type;
+ typedef check<check<void>> double_type;
+ typedef check<check<check<void>>> triple_type;
+ typedef check<check<check<check<void>>>> quadruple_type;
+
+ }
+
+ namespace test_decltype
+ {
+
+ int
+ f()
+ {
+ int a = 1;
+ decltype(a) b = 2;
+ return a + b;
+ }
+
+ }
+
+ namespace test_type_deduction
+ {
+
+ template < typename T1, typename T2 >
+ struct is_same
+ {
+ static const bool value = false;
+ };
+
+ template < typename T >
+ struct is_same<T, T>
+ {
+ static const bool value = true;
+ };
+
+ template < typename T1, typename T2 >
+ auto
+ add(T1 a1, T2 a2) -> decltype(a1 + a2)
+ {
+ return a1 + a2;
+ }
+
+ int
+ test(const int c, volatile int v)
+ {
+ static_assert(is_same<int, decltype(0)>::value == true, "");
+ static_assert(is_same<int, decltype(c)>::value == false, "");
+ static_assert(is_same<int, decltype(v)>::value == false, "");
+ auto ac = c;
+ auto av = v;
+ auto sumi = ac + av + 'x';
+ auto sumf = ac + av + 1.0;
+ static_assert(is_same<int, decltype(ac)>::value == true, "");
+ static_assert(is_same<int, decltype(av)>::value == true, "");
+ static_assert(is_same<int, decltype(sumi)>::value == true, "");
+ static_assert(is_same<int, decltype(sumf)>::value == false, "");
+ static_assert(is_same<int, decltype(add(c, v))>::value == true, "");
+ return (sumf > 0.0) ? sumi : add(c, v);
+ }
+
+ }
+
+ namespace test_noexcept
+ {
+
+ int f() { return 0; }
+ int g() noexcept { return 0; }
+
+ static_assert(noexcept(f()) == false, "");
+ static_assert(noexcept(g()) == true, "");
+
+ }
+
+ namespace test_constexpr
+ {
+
+ template < typename CharT >
+ unsigned long constexpr
+ strlen_c_r(const CharT *const s, const unsigned long acc) noexcept
+ {
+ return *s ? strlen_c_r(s + 1, acc + 1) : acc;
+ }
+
+ template < typename CharT >
+ unsigned long constexpr
+ strlen_c(const CharT *const s) noexcept
+ {
+ return strlen_c_r(s, 0UL);
+ }
+
+ static_assert(strlen_c("") == 0UL, "");
+ static_assert(strlen_c("1") == 1UL, "");
+ static_assert(strlen_c("example") == 7UL, "");
+ static_assert(strlen_c("another\0example") == 7UL, "");
+
+ }
+
+ namespace test_rvalue_references
+ {
+
+ template < int N >
+ struct answer
+ {
+ static constexpr int value = N;
+ };
+
+ answer<1> f(int&) { return answer<1>(); }
+ answer<2> f(const int&) { return answer<2>(); }
+ answer<3> f(int&&) { return answer<3>(); }
+
+ void
+ test()
+ {
+ int i = 0;
+ const int c = 0;
+ static_assert(decltype(f(i))::value == 1, "");
+ static_assert(decltype(f(c))::value == 2, "");
+ static_assert(decltype(f(0))::value == 3, "");
+ }
+
+ }
+
+ namespace test_uniform_initialization
+ {
+
+ struct test
+ {
+ static const int zero {};
+ static const int one {1};
+ };
+
+ static_assert(test::zero == 0, "");
+ static_assert(test::one == 1, "");
+
+ }
+
+ namespace test_lambdas
+ {
+
+ void
+ test1()
+ {
+ auto lambda1 = [](){};
+ auto lambda2 = lambda1;
+ lambda1();
+ lambda2();
+ }
+
+ int
+ test2()
+ {
+ auto a = [](int i, int j){ return i + j; }(1, 2);
+ auto b = []() -> int { return '0'; }();
+ auto c = [=](){ return a + b; }();
+ auto d = [&](){ return c; }();
+ auto e = [a, &b](int x) mutable {
+ const auto identity = [](int y){ return y; };
+ for (auto i = 0; i < a; ++i)
+ a += b--;
+ return x + identity(a + b);
+ }(0);
+ return a + b + c + d + e;
+ }
+
+ int
+ test3()
+ {
+ const auto nullary = [](){ return 0; };
+ const auto unary = [](int x){ return x; };
+ using nullary_t = decltype(nullary);
+ using unary_t = decltype(unary);
+ const auto higher1st = [](nullary_t f){ return f(); };
+ const auto higher2nd = [unary](nullary_t f1){
+ return [unary, f1](unary_t f2){ return f2(unary(f1())); };
+ };
+ return higher1st(nullary) + higher2nd(nullary)(unary);
+ }
+
+ }
+
+ namespace test_variadic_templates
+ {
+
+ template <int...>
+ struct sum;
+
+ template <int N0, int... N1toN>
+ struct sum<N0, N1toN...>
+ {
+ static constexpr auto value = N0 + sum<N1toN...>::value;
+ };
+
+ template <>
+ struct sum<>
+ {
+ static constexpr auto value = 0;
+ };
+
+ static_assert(sum<>::value == 0, "");
+ static_assert(sum<1>::value == 1, "");
+ static_assert(sum<23>::value == 23, "");
+ static_assert(sum<1, 2>::value == 3, "");
+ static_assert(sum<5, 5, 11>::value == 21, "");
+ static_assert(sum<2, 3, 5, 7, 11, 13>::value == 41, "");
+
+ }
+
+ // http://stackoverflow.com/questions/13728184/template-aliases-and-sfinae
+ // Clang 3.1 fails with headers of libstd++ 4.8.3 when using std::function
+ // because of this.
+ namespace test_template_alias_sfinae
+ {
+
+ struct foo {};
+
+ template<typename T>
+ using member = typename T::member_type;
+
+ template<typename T>
+ void func(...) {}
+
+ template<typename T>
+ void func(member<T>*) {}
+
+ void test();
+
+ void test() { func<foo>(0); }
+
+ }
+
+} // namespace cxx11
+
+#endif // __cplusplus >= 201103L
+
+]])
+
+
+dnl Tests for new features in C++14
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_14], [[
+
+// If the compiler admits that it is not ready for C++14, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201402L
+
+#error "This is not a C++14 compiler"
+
+#else
+
+namespace cxx14
+{
+
+ namespace test_polymorphic_lambdas
+ {
+
+ int
+ test()
+ {
+ const auto lambda = [](auto&&... args){
+ const auto istiny = [](auto x){
+ return (sizeof(x) == 1UL) ? 1 : 0;
+ };
+ const int aretiny[] = { istiny(args)... };
+ return aretiny[0];
+ };
+ return lambda(1, 1L, 1.0f, '1');
+ }
+
+ }
+
+ namespace test_binary_literals
+ {
+
+ constexpr auto ivii = 0b0000000000101010;
+ static_assert(ivii == 42, "wrong value");
+
+ }
+
+ namespace test_generalized_constexpr
+ {
+
+ template < typename CharT >
+ constexpr unsigned long
+ strlen_c(const CharT *const s) noexcept
+ {
+ auto length = 0UL;
+ for (auto p = s; *p; ++p)
+ ++length;
+ return length;
+ }
+
+ static_assert(strlen_c("") == 0UL, "");
+ static_assert(strlen_c("x") == 1UL, "");
+ static_assert(strlen_c("test") == 4UL, "");
+ static_assert(strlen_c("another\0test") == 7UL, "");
+
+ }
+
+ namespace test_lambda_init_capture
+ {
+
+ int
+ test()
+ {
+ auto x = 0;
+ const auto lambda1 = [a = x](int b){ return a + b; };
+ const auto lambda2 = [a = lambda1(x)](){ return a; };
+ return lambda2();
+ }
+
+ }
+
+ namespace test_digit_separators
+ {
+
+ constexpr auto ten_million = 100'000'000;
+ static_assert(ten_million == 100000000, "");
+
+ }
+
+ namespace test_return_type_deduction
+ {
+
+ auto f(int& x) { return x; }
+ decltype(auto) g(int& x) { return x; }
+
+ template < typename T1, typename T2 >
+ struct is_same
+ {
+ static constexpr auto value = false;
+ };
+
+ template < typename T >
+ struct is_same<T, T>
+ {
+ static constexpr auto value = true;
+ };
+
+ int
+ test()
+ {
+ auto x = 0;
+ static_assert(is_same<int, decltype(f(x))>::value, "");
+ static_assert(is_same<int&, decltype(g(x))>::value, "");
+ return x;
+ }
+
+ }
+
+} // namespace cxx14
+
+#endif // __cplusplus >= 201402L
+
+]])
+
+
+dnl Tests for new features in C++17
+
+m4_define([_AX_CXX_COMPILE_STDCXX_testbody_new_in_17], [[
+
+// If the compiler admits that it is not ready for C++17, why torture it?
+// Hopefully, this will speed up the test.
+
+#ifndef __cplusplus
+
+#error "This is not a C++ compiler"
+
+#elif __cplusplus < 201703L
+
+#error "This is not a C++17 compiler"
+
+#else
+
+#include <initializer_list>
+#include <utility>
+#include <type_traits>
+
+namespace cxx17
+{
+
+ namespace test_constexpr_lambdas
+ {
+
+ constexpr int foo = [](){return 42;}();
+
+ }
+
+ namespace test::nested_namespace::definitions
+ {
+
+ }
+
+ namespace test_fold_expression
+ {
+
+ template<typename... Args>
+ int multiply(Args... args)
+ {
+ return (args * ... * 1);
+ }
+
+ template<typename... Args>
+ bool all(Args... args)
+ {
+ return (args && ...);
+ }
+
+ }
+
+ namespace test_extended_static_assert
+ {
+
+ static_assert (true);
+
+ }
+
+ namespace test_auto_brace_init_list
+ {
+
+ auto foo = {5};
+ auto bar {5};
+
+ static_assert(std::is_same<std::initializer_list<int>, decltype(foo)>::value);
+ static_assert(std::is_same<int, decltype(bar)>::value);
+ }
+
+ namespace test_typename_in_template_template_parameter
+ {
+
+ template<template<typename> typename X> struct D;
+
+ }
+
+ namespace test_fallthrough_nodiscard_maybe_unused_attributes
+ {
+
+ int f1()
+ {
+ return 42;
+ }
+
+ [[nodiscard]] int f2()
+ {
+ [[maybe_unused]] auto unused = f1();
+
+ switch (f1())
+ {
+ case 17:
+ f1();
+ [[fallthrough]];
+ case 42:
+ f1();
+ }
+ return f1();
+ }
+
+ }
+
+ namespace test_extended_aggregate_initialization
+ {
+
+ struct base1
+ {
+ int b1, b2 = 42;
+ };
+
+ struct base2
+ {
+ base2() {
+ b3 = 42;
+ }
+ int b3;
+ };
+
+ struct derived : base1, base2
+ {
+ int d;
+ };
+
+ derived d1 {{1, 2}, {}, 4}; // full initialization
+ derived d2 {{}, {}, 4}; // value-initialized bases
+
+ }
+
+ namespace test_general_range_based_for_loop
+ {
+
+ struct iter
+ {
+ int i;
+
+ int& operator* ()
+ {
+ return i;
+ }
+
+ const int& operator* () const
+ {
+ return i;
+ }
+
+ iter& operator++()
+ {
+ ++i;
+ return *this;
+ }
+ };
+
+ struct sentinel
+ {
+ int i;
+ };
+
+ bool operator== (const iter& i, const sentinel& s)
+ {
+ return i.i == s.i;
+ }
+
+ bool operator!= (const iter& i, const sentinel& s)
+ {
+ return !(i == s);
+ }
+
+ struct range
+ {
+ iter begin() const
+ {
+ return {0};
+ }
+
+ sentinel end() const
+ {
+ return {5};
+ }
+ };
+
+ void f()
+ {
+ range r {};
+
+ for (auto i : r)
+ {
+ [[maybe_unused]] auto v = i;
+ }
+ }
+
+ }
+
+ namespace test_lambda_capture_asterisk_this_by_value
+ {
+
+ struct t
+ {
+ int i;
+ int foo()
+ {
+ return [*this]()
+ {
+ return i;
+ }();
+ }
+ };
+
+ }
+
+ namespace test_enum_class_construction
+ {
+
+ enum class byte : unsigned char
+ {};
+
+ byte foo {42};
+
+ }
+
+ namespace test_constexpr_if
+ {
+
+ template <bool cond>
+ int f ()
+ {
+ if constexpr(cond)
+ {
+ return 13;
+ }
+ else
+ {
+ return 42;
+ }
+ }
+
+ }
+
+ namespace test_selection_statement_with_initializer
+ {
+
+ int f()
+ {
+ return 13;
+ }
+
+ int f2()
+ {
+ if (auto i = f(); i > 0)
+ {
+ return 3;
+ }
+
+ switch (auto i = f(); i + 4)
+ {
+ case 17:
+ return 2;
+
+ default:
+ return 1;
+ }
+ }
+
+ }
+
+ namespace test_template_argument_deduction_for_class_templates
+ {
+
+ template <typename T1, typename T2>
+ struct pair
+ {
+ pair (T1 p1, T2 p2)
+ : m1 {p1},
+ m2 {p2}
+ {}
+
+ T1 m1;
+ T2 m2;
+ };
+
+ void f()
+ {
+ [[maybe_unused]] auto p = pair{13, 42u};
+ }
+
+ }
+
+ namespace test_non_type_auto_template_parameters
+ {
+
+ template <auto n>
+ struct B
+ {};
+
+ B<5> b1;
+ B<'a'> b2;
+
+ }
+
+ namespace test_structured_bindings
+ {
+
+ int arr[2] = { 1, 2 };
+ std::pair<int, int> pr = { 1, 2 };
+
+ auto f1() -> int(&)[2]
+ {
+ return arr;
+ }
+
+ auto f2() -> std::pair<int, int>&
+ {
+ return pr;
+ }
+
+ struct S
+ {
+ int x1 : 2;
+ volatile double y1;
+ };
+
+ S f3()
+ {
+ return {};
+ }
+
+ auto [ x1, y1 ] = f1();
+ auto& [ xr1, yr1 ] = f1();
+ auto [ x2, y2 ] = f2();
+ auto& [ xr2, yr2 ] = f2();
+ const auto [ x3, y3 ] = f3();
+
+ }
+
+ namespace test_exception_spec_type_system
+ {
+
+ struct Good {};
+ struct Bad {};
+
+ void g1() noexcept;
+ void g2();
+
+ template<typename T>
+ Bad
+ f(T*, T*);
+
+ template<typename T1, typename T2>
+ Good
+ f(T1*, T2*);
+
+ static_assert (std::is_same_v<Good, decltype(f(g1, g2))>);
+
+ }
+
+ namespace test_inline_variables
+ {
+
+ template<class T> void f(T)
+ {}
+
+ template<class T> inline T g(T)
+ {
+ return T{};
+ }
+
+ template<> inline void f<>(int)
+ {}
+
+ template<> int g<>(int)
+ {
+ return 5;
+ }
+
+ }
+
+} // namespace cxx17
+
+#endif // __cplusplus < 201703L
+
+]])
diff --git a/src/univalue/configure.ac b/src/univalue/configure.ac
index 8298332ac1..495b25a53d 100644
--- a/src/univalue/configure.ac
+++ b/src/univalue/configure.ac
@@ -1,7 +1,7 @@
m4_define([libunivalue_major_version], [1])
m4_define([libunivalue_minor_version], [1])
-m4_define([libunivalue_micro_version], [3])
-m4_define([libunivalue_interface_age], [3])
+m4_define([libunivalue_micro_version], [4])
+m4_define([libunivalue_interface_age], [4])
# If you need a modifier for the version number.
# Normally empty, but can be used to make "fixup" releases.
m4_define([libunivalue_extraversion], [])
@@ -14,7 +14,7 @@ m4_define([libunivalue_age], [m4_eval(libunivalue_binary_age - libunivalue_inter
m4_define([libunivalue_version], [libunivalue_major_version().libunivalue_minor_version().libunivalue_micro_version()libunivalue_extraversion()])
-AC_INIT([univalue], [1.0.3],
+AC_INIT([univalue], [1.0.4],
[http://github.com/jgarzik/univalue/])
dnl make the compilation flags quiet unless V=1 is used
@@ -45,6 +45,9 @@ AC_SUBST(LIBUNIVALUE_AGE)
LT_INIT
LT_LANG([C++])
+dnl Require C++11 compiler (no GNU extensions)
+AX_CXX_COMPILE_STDCXX([11], [noext], [mandatory], [nodefault])
+
case $host in
*mingw*)
LIBTOOL_APP_LDFLAGS="$LIBTOOL_APP_LDFLAGS -all-static"
diff --git a/src/univalue/gen/gen.cpp b/src/univalue/gen/gen.cpp
index 85fe20924a..b8a6c73f4e 100644
--- a/src/univalue/gen/gen.cpp
+++ b/src/univalue/gen/gen.cpp
@@ -1,6 +1,6 @@
// Copyright 2014 BitPay Inc.
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
//
// To re-create univalue_escapes.h:
@@ -45,7 +45,7 @@ static void outputEscape()
for (unsigned int i = 0; i < 256; i++) {
if (escapes[i].empty()) {
- printf("\tNULL,\n");
+ printf("\tnullptr,\n");
} else {
printf("\t\"");
diff --git a/src/univalue/include/univalue.h b/src/univalue/include/univalue.h
index 048e162f7d..fc5cf402be 100644
--- a/src/univalue/include/univalue.h
+++ b/src/univalue/include/univalue.h
@@ -1,7 +1,7 @@
// Copyright 2014 BitPay Inc.
// Copyright 2015 Bitcoin Core Developers
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#ifndef __UNIVALUE_H__
#define __UNIVALUE_H__
@@ -14,8 +14,6 @@
#include <map>
#include <cassert>
-#include <sstream> // .get_int64()
-
class UniValue {
public:
enum VType { VNULL, VOBJ, VARR, VSTR, VNUM, VBOOL, };
diff --git a/src/univalue/lib/univalue.cpp b/src/univalue/lib/univalue.cpp
index 4c9c15d63e..c4e59fae74 100644
--- a/src/univalue/lib/univalue.cpp
+++ b/src/univalue/lib/univalue.cpp
@@ -1,7 +1,7 @@
// Copyright 2014 BitPay Inc.
// Copyright 2015 Bitcoin Core Developers
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#include <stdint.h>
#include <iomanip>
@@ -178,17 +178,19 @@ bool UniValue::findKey(const std::string& key, size_t& retIdx) const
bool UniValue::checkObject(const std::map<std::string,UniValue::VType>& t) const
{
- if (typ != VOBJ)
+ if (typ != VOBJ) {
return false;
+ }
- for (std::map<std::string,UniValue::VType>::const_iterator it = t.begin();
- it != t.end(); ++it) {
+ for (const auto& object: t) {
size_t idx = 0;
- if (!findKey(it->first, idx))
+ if (!findKey(object.first, idx)) {
return false;
+ }
- if (values.at(idx).getType() != it->second)
+ if (values.at(idx).getType() != object.second) {
return false;
+ }
}
return true;
@@ -228,7 +230,7 @@ const char *uvTypeName(UniValue::VType t)
}
// not reached
- return NULL;
+ return nullptr;
}
const UniValue& find_value(const UniValue& obj, const std::string& name)
diff --git a/src/univalue/lib/univalue_escapes.h b/src/univalue/lib/univalue_escapes.h
index 74596aab6d..3f714f8e5b 100644
--- a/src/univalue/lib/univalue_escapes.h
+++ b/src/univalue/lib/univalue_escapes.h
@@ -34,229 +34,229 @@ static const char *escapes[256] = {
"\\u001d",
"\\u001e",
"\\u001f",
- NULL,
- NULL,
+ nullptr,
+ nullptr,
"\\\"",
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
"\\\\",
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
"\\u007f",
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
- NULL,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
+ nullptr,
};
#endif // BITCOIN_UNIVALUE_UNIVALUE_ESCAPES_H
diff --git a/src/univalue/lib/univalue_get.cpp b/src/univalue/lib/univalue_get.cpp
index 0ad6146545..5af89a3561 100644
--- a/src/univalue/lib/univalue_get.cpp
+++ b/src/univalue/lib/univalue_get.cpp
@@ -1,7 +1,7 @@
// Copyright 2014 BitPay Inc.
// Copyright 2015 Bitcoin Core Developers
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#include <stdint.h>
#include <errno.h>
@@ -11,6 +11,7 @@
#include <vector>
#include <limits>
#include <string>
+#include <sstream>
#include "univalue.h"
@@ -31,7 +32,7 @@ bool ParseInt32(const std::string& str, int32_t *out)
{
if (!ParsePrechecks(str))
return false;
- char *endp = NULL;
+ char *endp = nullptr;
errno = 0; // strtol will not set errno if valid
long int n = strtol(str.c_str(), &endp, 10);
if(out) *out = (int32_t)n;
@@ -47,7 +48,7 @@ bool ParseInt64(const std::string& str, int64_t *out)
{
if (!ParsePrechecks(str))
return false;
- char *endp = NULL;
+ char *endp = nullptr;
errno = 0; // strtoll will not set errno if valid
long long int n = strtoll(str.c_str(), &endp, 10);
if(out) *out = (int64_t)n;
diff --git a/src/univalue/lib/univalue_read.cpp b/src/univalue/lib/univalue_read.cpp
index 5c6a1acf75..be39bfe57a 100644
--- a/src/univalue/lib/univalue_read.cpp
+++ b/src/univalue/lib/univalue_read.cpp
@@ -1,6 +1,6 @@
// Copyright 2014 BitPay Inc.
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#include <string.h>
#include <vector>
@@ -227,7 +227,7 @@ enum jtokentype getJsonToken(std::string& tokenVal, unsigned int& consumed,
}
else {
- writer.push_back(*raw);
+ writer.push_back(static_cast<unsigned char>(*raw));
raw++;
}
}
@@ -244,7 +244,7 @@ enum jtokentype getJsonToken(std::string& tokenVal, unsigned int& consumed,
}
}
-enum expect_bits {
+enum expect_bits : unsigned {
EXP_OBJ_NAME = (1U << 0),
EXP_COLON = (1U << 1),
EXP_ARR_VALUE = (1U << 2),
diff --git a/src/univalue/lib/univalue_utffilter.h b/src/univalue/lib/univalue_utffilter.h
index 20d4043009..c24ac58eaf 100644
--- a/src/univalue/lib/univalue_utffilter.h
+++ b/src/univalue/lib/univalue_utffilter.h
@@ -1,6 +1,6 @@
// Copyright 2016 Wladimir J. van der Laan
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#ifndef UNIVALUE_UTFFILTER_H
#define UNIVALUE_UTFFILTER_H
diff --git a/src/univalue/lib/univalue_write.cpp b/src/univalue/lib/univalue_write.cpp
index 827eb9b271..3a2c580c7f 100644
--- a/src/univalue/lib/univalue_write.cpp
+++ b/src/univalue/lib/univalue_write.cpp
@@ -1,9 +1,8 @@
// Copyright 2014 BitPay Inc.
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#include <iomanip>
-#include <sstream>
#include <stdio.h>
#include "univalue.h"
#include "univalue_escapes.h"
@@ -14,13 +13,13 @@ static std::string json_escape(const std::string& inS)
outS.reserve(inS.size() * 2);
for (unsigned int i = 0; i < inS.size(); i++) {
- unsigned char ch = inS[i];
+ unsigned char ch = static_cast<unsigned char>(inS[i]);
const char *escStr = escapes[ch];
if (escStr)
outS += escStr;
else
- outS += ch;
+ outS += static_cast<char>(ch);
}
return outS;
diff --git a/src/univalue/sources.mk b/src/univalue/sources.mk
new file mode 100644
index 0000000000..efab6d277f
--- /dev/null
+++ b/src/univalue/sources.mk
@@ -0,0 +1,95 @@
+# - All variables are namespaced with UNIVALUE_ to avoid colliding with
+# downstream makefiles.
+# - All Variables ending in _HEADERS or _SOURCES confuse automake, so the
+# _INT postfix is applied.
+# - Convenience variables, for example a UNIVALUE_TEST_DIR should not be used
+# as they interfere with automatic dependency generation
+# - The %reldir% is the relative path from the Makefile.am. This allows
+# downstreams to use these variables without having to manually account for
+# the path change.
+
+UNIVALUE_INCLUDE_DIR_INT = %reldir%/include
+
+UNIVALUE_DIST_HEADERS_INT =
+UNIVALUE_DIST_HEADERS_INT += %reldir%/include/univalue.h
+
+UNIVALUE_LIB_HEADERS_INT =
+UNIVALUE_LIB_HEADERS_INT += %reldir%/lib/univalue_utffilter.h
+UNIVALUE_LIB_HEADERS_INT += %reldir%/lib/univalue_escapes.h
+
+UNIVALUE_LIB_SOURCES_INT =
+UNIVALUE_LIB_SOURCES_INT += %reldir%/lib/univalue.cpp
+UNIVALUE_LIB_SOURCES_INT += %reldir%/lib/univalue_get.cpp
+UNIVALUE_LIB_SOURCES_INT += %reldir%/lib/univalue_read.cpp
+UNIVALUE_LIB_SOURCES_INT += %reldir%/lib/univalue_write.cpp
+
+UNIVALUE_TEST_DATA_DIR_INT = %reldir%/test
+
+UNIVALUE_TEST_UNITESTER_INT =
+UNIVALUE_TEST_UNITESTER_INT += %reldir%/test/unitester.cpp
+
+UNIVALUE_TEST_JSON_INT =
+UNIVALUE_TEST_JSON_INT += %reldir%/test/test_json.cpp
+
+UNIVALUE_TEST_NO_NUL_INT =
+UNIVALUE_TEST_NO_NUL_INT += %reldir%/test/no_nul.cpp
+
+UNIVALUE_TEST_OBJECT_INT =
+UNIVALUE_TEST_OBJECT_INT += %reldir%/test/object.cpp
+
+UNIVALUE_TEST_FILES_INT =
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail1.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail2.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail3.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail4.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail5.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail6.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail7.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail8.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail9.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail10.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail11.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail12.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail13.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail14.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail15.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail16.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail17.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail18.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail19.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail20.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail21.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail22.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail23.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail24.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail25.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail26.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail27.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail28.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail29.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail30.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail31.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail32.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail33.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail34.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail35.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail36.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail37.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail38.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail39.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail40.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail41.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail42.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail44.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/fail45.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/pass1.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/pass2.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/pass3.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/pass4.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/round1.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/round2.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/round3.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/round4.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/round5.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/round6.json
+UNIVALUE_TEST_FILES_INT += %reldir%/test/round7.json
diff --git a/src/univalue/test/object.cpp b/src/univalue/test/object.cpp
index ccc1344836..c2f52f83ac 100644
--- a/src/univalue/test/object.cpp
+++ b/src/univalue/test/object.cpp
@@ -1,7 +1,7 @@
// Copyright (c) 2014 BitPay Inc.
// Copyright (c) 2014-2016 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#include <stdint.h>
#include <vector>
diff --git a/src/univalue/test/unitester.cpp b/src/univalue/test/unitester.cpp
index 2308afbcdf..02e1a83c6d 100644
--- a/src/univalue/test/unitester.cpp
+++ b/src/univalue/test/unitester.cpp
@@ -1,6 +1,6 @@
// Copyright 2014 BitPay Inc.
// Distributed under the MIT/X11 software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+// file COPYING or https://opensource.org/licenses/mit-license.php.
#include <stdlib.h>
#include <stdio.h>
@@ -58,7 +58,7 @@ static void runtest_file(const char *filename_)
std::string basename(filename_);
std::string filename = srcdir + "/" + basename;
FILE *f = fopen(filename.c_str(), "r");
- assert(f != NULL);
+ assert(f != nullptr);
std::string jdata;
diff --git a/src/util/asmap.cpp b/src/util/asmap.cpp
index bd77d74218..ceb8379c1c 100644
--- a/src/util/asmap.cpp
+++ b/src/util/asmap.cpp
@@ -1,11 +1,18 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <util/asmap.h>
+
+#include <clientversion.h>
+#include <crypto/common.h>
+#include <fs.h>
+#include <logging.h>
+#include <streams.h>
+
+#include <cassert>
#include <map>
#include <vector>
-#include <assert.h>
-#include <crypto/common.h>
namespace {
@@ -93,8 +100,7 @@ uint32_t Interpret(const std::vector<bool> &asmap, const std::vector<bool> &ip)
jump = DecodeJump(pos, endpos);
if (jump == INVALID) break; // Jump offset straddles EOF
if (bits == 0) break; // No input bits left
- if (pos + jump < pos) break; // overflow
- if (pos + jump >= endpos) break; // Jumping past EOF
+ if (int64_t{jump} >= int64_t{endpos - pos}) break; // Jumping past EOF
if (ip[ip.size() - bits]) {
pos += jump;
}
@@ -156,8 +162,7 @@ bool SanityCheckASMap(const std::vector<bool>& asmap, int bits)
} else if (opcode == Instruction::JUMP) {
uint32_t jump = DecodeJump(pos, endpos);
if (jump == INVALID) return false; // Jump offset straddles EOF
- if (pos + jump < pos) return false; // overflow
- if (pos + jump > endpos) return false; // Jump out of range
+ if (int64_t{jump} > int64_t{endpos - pos}) return false; // Jump out of range
if (bits == 0) return false; // Consuming bits past the end of the input
--bits;
uint32_t jump_offset = pos - begin + jump;
@@ -185,3 +190,31 @@ bool SanityCheckASMap(const std::vector<bool>& asmap, int bits)
}
return false; // Reached EOF without RETURN instruction
}
+
+std::vector<bool> DecodeAsmap(fs::path path)
+{
+ std::vector<bool> bits;
+ FILE *filestr = fsbridge::fopen(path, "rb");
+ CAutoFile file(filestr, SER_DISK, CLIENT_VERSION);
+ if (file.IsNull()) {
+ LogPrintf("Failed to open asmap file from disk\n");
+ return bits;
+ }
+ fseek(filestr, 0, SEEK_END);
+ int length = ftell(filestr);
+ LogPrintf("Opened asmap file %s (%d bytes) from disk\n", fs::quoted(fs::PathToString(path)), length);
+ fseek(filestr, 0, SEEK_SET);
+ uint8_t cur_byte;
+ for (int i = 0; i < length; ++i) {
+ file >> cur_byte;
+ for (int bit = 0; bit < 8; ++bit) {
+ bits.push_back((cur_byte >> bit) & 1);
+ }
+ }
+ if (!SanityCheckASMap(bits, 128)) {
+ LogPrintf("Sanity check of asmap file %s failed\n", fs::quoted(fs::PathToString(path)));
+ return {};
+ }
+ return bits;
+}
+
diff --git a/src/util/asmap.h b/src/util/asmap.h
index d0588bc8c3..844037f816 100644
--- a/src/util/asmap.h
+++ b/src/util/asmap.h
@@ -1,15 +1,20 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_UTIL_ASMAP_H
#define BITCOIN_UTIL_ASMAP_H
-#include <stdint.h>
+#include <fs.h>
+
+#include <cstdint>
#include <vector>
uint32_t Interpret(const std::vector<bool> &asmap, const std::vector<bool> &ip);
bool SanityCheckASMap(const std::vector<bool>& asmap, int bits);
+/** Read asmap from provided binary file */
+std::vector<bool> DecodeAsmap(fs::path path);
+
#endif // BITCOIN_UTIL_ASMAP_H
diff --git a/src/util/check.h b/src/util/check.h
index bc62da3440..a443c13cf2 100644
--- a/src/util/check.h
+++ b/src/util/check.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -33,11 +33,11 @@ class NonFatalCheckError : public std::runtime_error
do { \
if (!(condition)) { \
throw NonFatalCheckError( \
- strprintf("%s:%d (%s)\n" \
- "Internal bug detected: '%s'\n" \
+ strprintf("Internal bug detected: '%s'\n" \
+ "%s:%d (%s)\n" \
"You may report this issue here: %s\n", \
- __FILE__, __LINE__, __func__, \
(#condition), \
+ __FILE__, __LINE__, __func__, \
PACKAGE_BUGREPORT)); \
} \
} while (false)
@@ -69,7 +69,7 @@ T get_pure_r_value(T&& val)
#ifdef ABORT_ON_FAILED_ASSUME
#define Assume(val) Assert(val)
#else
-#define Assume(val) ((void)(val))
+#define Assume(val) ([&]() -> decltype(get_pure_r_value(val)) { auto&& check = (val); return std::forward<decltype(get_pure_r_value(val))>(check); }())
#endif
#endif // BITCOIN_UTIL_CHECK_H
diff --git a/src/util/epochguard.h b/src/util/epochguard.h
index 1570ec4eb4..0fec7d2624 100644
--- a/src/util/epochguard.h
+++ b/src/util/epochguard.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -40,6 +40,9 @@ public:
Epoch() = default;
Epoch(const Epoch&) = delete;
Epoch& operator=(const Epoch&) = delete;
+ Epoch(Epoch&&) = delete;
+ Epoch& operator=(Epoch&&) = delete;
+ ~Epoch() = default;
bool guarded() const { return m_guarded; }
@@ -51,6 +54,13 @@ public:
// only allow modification via Epoch member functions
friend class Epoch;
Marker& operator=(const Marker&) = delete;
+
+ public:
+ Marker() = default;
+ Marker(const Marker&) = default;
+ Marker(Marker&&) = delete;
+ Marker& operator=(Marker&&) = delete;
+ ~Marker() = default;
};
class SCOPED_LOCKABLE Guard
diff --git a/src/util/error.cpp b/src/util/error.cpp
index 48c81693f3..af8cbd0353 100644
--- a/src/util/error.cpp
+++ b/src/util/error.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2010-2020 The Bitcoin Core developers
+// Copyright (c) 2010-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -20,9 +20,9 @@ bilingual_str TransactionErrorString(const TransactionError err)
case TransactionError::P2P_DISABLED:
return Untranslated("Peer-to-peer functionality missing or disabled");
case TransactionError::MEMPOOL_REJECTED:
- return Untranslated("Transaction rejected by AcceptToMemoryPool");
+ return Untranslated("Transaction rejected by mempool");
case TransactionError::MEMPOOL_ERROR:
- return Untranslated("AcceptToMemoryPool failed");
+ return Untranslated("Mempool internal error");
case TransactionError::INVALID_PSBT:
return Untranslated("PSBT is not well-formed");
case TransactionError::PSBT_MISMATCH:
diff --git a/src/util/fastrange.h b/src/util/fastrange.h
new file mode 100644
index 0000000000..77cb883ce0
--- /dev/null
+++ b/src/util/fastrange.h
@@ -0,0 +1,51 @@
+// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_FASTRANGE_H
+#define BITCOIN_UTIL_FASTRANGE_H
+
+#include <cstdint>
+
+/* This file offers implementations of the fast range reduction technique described
+ * in https://lemire.me/blog/2016/06/27/a-fast-alternative-to-the-modulo-reduction/
+ *
+ * In short, they take an integer x and a range n, and return the upper bits of
+ * (x * n). If x is uniformly distributed over its domain, the result is as close to
+ * uniformly distributed over [0, n) as (x mod n) would be, but significantly faster.
+ */
+
+/** Fast range reduction with 32-bit input and 32-bit range. */
+static inline uint32_t FastRange32(uint32_t x, uint32_t n)
+{
+ return (uint64_t{x} * n) >> 32;
+}
+
+/** Fast range reduction with 64-bit input and 64-bit range. */
+static inline uint64_t FastRange64(uint64_t x, uint64_t n)
+{
+#ifdef __SIZEOF_INT128__
+ return (static_cast<unsigned __int128>(x) * static_cast<unsigned __int128>(n)) >> 64;
+#else
+ // To perform the calculation on 64-bit numbers without losing the
+ // result to overflow, split the numbers into the most significant and
+ // least significant 32 bits and perform multiplication piece-wise.
+ //
+ // See: https://stackoverflow.com/a/26855440
+ const uint64_t x_hi = x >> 32;
+ const uint64_t x_lo = x & 0xFFFFFFFF;
+ const uint64_t n_hi = n >> 32;
+ const uint64_t n_lo = n & 0xFFFFFFFF;
+
+ const uint64_t ac = x_hi * n_hi;
+ const uint64_t ad = x_hi * n_lo;
+ const uint64_t bc = x_lo * n_hi;
+ const uint64_t bd = x_lo * n_lo;
+
+ const uint64_t mid34 = (bd >> 32) + (bc & 0xFFFFFFFF) + (ad & 0xFFFFFFFF);
+ const uint64_t upper64 = ac + (bc >> 32) + (ad >> 32) + (mid34 >> 32);
+ return upper64;
+#endif
+}
+
+#endif // BITCOIN_UTIL_FASTRANGE_H
diff --git a/src/util/getuniquepath.cpp b/src/util/getuniquepath.cpp
index 9839d2f624..6776e7785b 100644
--- a/src/util/getuniquepath.cpp
+++ b/src/util/getuniquepath.cpp
@@ -1,3 +1,7 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
#include <random.h>
#include <fs.h>
#include <util/strencodings.h>
diff --git a/src/util/golombrice.h b/src/util/golombrice.h
index 67d262406f..4ff4f6d7e5 100644
--- a/src/util/golombrice.h
+++ b/src/util/golombrice.h
@@ -5,6 +5,8 @@
#ifndef BITCOIN_UTIL_GOLOMBRICE_H
#define BITCOIN_UTIL_GOLOMBRICE_H
+#include <util/fastrange.h>
+
#include <streams.h>
#include <cstdint>
diff --git a/src/util/hash_type.h b/src/util/hash_type.h
new file mode 100644
index 0000000000..13b831cf19
--- /dev/null
+++ b/src/util/hash_type.h
@@ -0,0 +1,72 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_HASH_TYPE_H
+#define BITCOIN_UTIL_HASH_TYPE_H
+
+template <typename HashType>
+class BaseHash
+{
+protected:
+ HashType m_hash;
+
+public:
+ BaseHash() : m_hash() {}
+ explicit BaseHash(const HashType& in) : m_hash(in) {}
+
+ unsigned char* begin()
+ {
+ return m_hash.begin();
+ }
+
+ const unsigned char* begin() const
+ {
+ return m_hash.begin();
+ }
+
+ unsigned char* end()
+ {
+ return m_hash.end();
+ }
+
+ const unsigned char* end() const
+ {
+ return m_hash.end();
+ }
+
+ operator std::vector<unsigned char>() const
+ {
+ return std::vector<unsigned char>{m_hash.begin(), m_hash.end()};
+ }
+
+ std::string ToString() const
+ {
+ return m_hash.ToString();
+ }
+
+ bool operator==(const BaseHash<HashType>& other) const noexcept
+ {
+ return m_hash == other.m_hash;
+ }
+
+ bool operator!=(const BaseHash<HashType>& other) const noexcept
+ {
+ return !(m_hash == other.m_hash);
+ }
+
+ bool operator<(const BaseHash<HashType>& other) const noexcept
+ {
+ return m_hash < other.m_hash;
+ }
+
+ size_t size() const
+ {
+ return m_hash.size();
+ }
+
+ unsigned char* data() { return m_hash.data(); }
+ const unsigned char* data() const { return m_hash.data(); }
+};
+
+#endif // BITCOIN_UTIL_HASH_TYPE_H
diff --git a/src/util/hasher.h b/src/util/hasher.h
index fa2fea30d8..3d24a4d23c 100644
--- a/src/util/hasher.h
+++ b/src/util/hasher.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -33,10 +33,6 @@ public:
SaltedOutpointHasher();
/**
- * This *must* return size_t. With Boost 1.46 on 32-bit systems the
- * unordered_map will behave unpredictably if the custom hasher returns a
- * uint64_t, resulting in failures when syncing the chain (#4634).
- *
* Having the hash noexcept allows libstdc++'s unordered_map to recalculate
* the hash during rehash, so it does not have to cache the value. This
* reduces node's memory by sizeof(size_t). The required recalculation has
diff --git a/src/util/macros.h b/src/util/macros.h
index 0887c80fd7..c9740c8e82 100644
--- a/src/util/macros.h
+++ b/src/util/macros.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/util/memory.h b/src/util/memory.h
deleted file mode 100644
index f21b81bade..0000000000
--- a/src/util/memory.h
+++ /dev/null
@@ -1,20 +0,0 @@
-// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#ifndef BITCOIN_UTIL_MEMORY_H
-#define BITCOIN_UTIL_MEMORY_H
-
-#include <memory>
-#include <utility>
-
-//! Substitute for C++14 std::make_unique.
-//! DEPRECATED use std::make_unique in new code.
-template <typename T, typename... Args>
-std::unique_ptr<T> MakeUnique(Args&&... args)
-{
- return std::make_unique<T>(std::forward<Args>(args)...);
-}
-
-#endif
diff --git a/src/util/message.cpp b/src/util/message.cpp
index 73948e4ff1..2c7f0406f0 100644
--- a/src/util/message.cpp
+++ b/src/util/message.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/util/moneystr.cpp b/src/util/moneystr.cpp
index 3f9ce7dce4..2cd7a426f8 100644
--- a/src/util/moneystr.cpp
+++ b/src/util/moneystr.cpp
@@ -1,14 +1,17 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <util/moneystr.h>
+#include <consensus/amount.h>
#include <tinyformat.h>
#include <util/strencodings.h>
#include <util/string.h>
+#include <optional>
+
std::string FormatMoney(const CAmount n)
{
// Note: not using straight sprintf here because we do NOT want
@@ -35,14 +38,14 @@ std::string FormatMoney(const CAmount n)
}
-bool ParseMoney(const std::string& money_string, CAmount& nRet)
+std::optional<CAmount> ParseMoney(const std::string& money_string)
{
if (!ValidAsCString(money_string)) {
- return false;
+ return std::nullopt;
}
const std::string str = TrimString(money_string);
if (str.empty()) {
- return false;
+ return std::nullopt;
}
std::string strWhole;
@@ -62,21 +65,24 @@ bool ParseMoney(const std::string& money_string, CAmount& nRet)
break;
}
if (IsSpace(*p))
- return false;
+ return std::nullopt;
if (!IsDigit(*p))
- return false;
+ return std::nullopt;
strWhole.insert(strWhole.end(), *p);
}
if (*p) {
- return false;
+ return std::nullopt;
}
if (strWhole.size() > 10) // guard against 63 bit overflow
- return false;
+ return std::nullopt;
if (nUnits < 0 || nUnits > COIN)
- return false;
- int64_t nWhole = atoi64(strWhole);
- CAmount nValue = nWhole*COIN + nUnits;
+ return std::nullopt;
+ int64_t nWhole = LocaleIndependentAtoi<int64_t>(strWhole);
+ CAmount value = nWhole * COIN + nUnits;
+
+ if (!MoneyRange(value)) {
+ return std::nullopt;
+ }
- nRet = nValue;
- return true;
+ return value;
}
diff --git a/src/util/moneystr.h b/src/util/moneystr.h
index 2aedbee358..8180604342 100644
--- a/src/util/moneystr.h
+++ b/src/util/moneystr.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,9 +9,10 @@
#ifndef BITCOIN_UTIL_MONEYSTR_H
#define BITCOIN_UTIL_MONEYSTR_H
-#include <amount.h>
#include <attributes.h>
+#include <consensus/amount.h>
+#include <optional>
#include <string>
/* Do not use these functions to represent or parse monetary amounts to or from
@@ -19,6 +20,6 @@
*/
std::string FormatMoney(const CAmount n);
/** Parse an amount denoted in full coins. E.g. "0.0034" supplied on the command line. **/
-[[nodiscard]] bool ParseMoney(const std::string& str, CAmount& nRet);
+std::optional<CAmount> ParseMoney(const std::string& str);
#endif // BITCOIN_UTIL_MONEYSTR_H
diff --git a/src/util/overflow.h b/src/util/overflow.h
new file mode 100644
index 0000000000..5982af8d04
--- /dev/null
+++ b/src/util/overflow.h
@@ -0,0 +1,31 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_OVERFLOW_H
+#define BITCOIN_UTIL_OVERFLOW_H
+
+#include <limits>
+#include <type_traits>
+
+template <class T>
+[[nodiscard]] bool AdditionOverflow(const T i, const T j) noexcept
+{
+ static_assert(std::is_integral<T>::value, "Integral required.");
+ if (std::numeric_limits<T>::is_signed) {
+ return (i > 0 && j > std::numeric_limits<T>::max() - i) ||
+ (i < 0 && j < std::numeric_limits<T>::min() - i);
+ }
+ return std::numeric_limits<T>::max() - i < j;
+}
+
+template <class T>
+[[nodiscard]] std::optional<T> CheckedAdd(const T i, const T j) noexcept
+{
+ if (AdditionOverflow(i, j)) {
+ return std::nullopt;
+ }
+ return i + j;
+}
+
+#endif // BITCOIN_UTIL_OVERFLOW_H
diff --git a/src/util/overloaded.h b/src/util/overloaded.h
new file mode 100644
index 0000000000..6be7453f81
--- /dev/null
+++ b/src/util/overloaded.h
@@ -0,0 +1,22 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_OVERLOADED_H
+#define BITCOIN_UTIL_OVERLOADED_H
+
+namespace util {
+//! Overloaded helper for std::visit. This helper and std::visit in general are
+//! useful to write code that switches on a variant type. Unlike if/else-if and
+//! switch/case statements, std::visit will trigger compile errors if there are
+//! unhandled cases.
+//!
+//! Implementation comes from and example usage can be found at
+//! https://en.cppreference.com/w/cpp/utility/variant/visit#Example
+template<class... Ts> struct Overloaded : Ts... { using Ts::operator()...; };
+
+//! Explicit deduction guide (not needed as of C++20)
+template<class... Ts> Overloaded(Ts...) -> Overloaded<Ts...>;
+} // namespace util
+
+#endif // BITCOIN_UTIL_OVERLOADED_H
diff --git a/src/util/rbf.h b/src/util/rbf.h
index 6a20b37de5..a957617389 100644
--- a/src/util/rbf.h
+++ b/src/util/rbf.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2019 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,10 +9,15 @@
class CTransaction;
-static const uint32_t MAX_BIP125_RBF_SEQUENCE = 0xfffffffd;
+static constexpr uint32_t MAX_BIP125_RBF_SEQUENCE{0xfffffffd};
-// Check whether the sequence numbers on this transaction are signaling
-// opt-in to replace-by-fee, according to BIP 125
-bool SignalsOptInRBF(const CTransaction &tx);
+/** Check whether the sequence numbers on this transaction are signaling opt-in to replace-by-fee,
+ * according to BIP 125. Allow opt-out of transaction replacement by setting nSequence >
+ * MAX_BIP125_RBF_SEQUENCE (SEQUENCE_FINAL-2) on all inputs.
+*
+* SEQUENCE_FINAL-1 is picked to still allow use of nLockTime by non-replaceable transactions. All
+* inputs rather than just one is for the sake of multi-party protocols, where we don't want a single
+* party to be able to disable replacement by opting out in their own input. */
+bool SignalsOptInRBF(const CTransaction& tx);
#endif // BITCOIN_UTIL_RBF_H
diff --git a/src/util/readwritefile.h b/src/util/readwritefile.h
index 1dab874b38..73437baf1b 100644
--- a/src/util/readwritefile.h
+++ b/src/util/readwritefile.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -25,4 +25,4 @@ std::pair<bool,std::string> ReadBinaryFile(const fs::path &filename, size_t maxs
*/
bool WriteBinaryFile(const fs::path &filename, const std::string &data);
-#endif /* BITCOIN_UTIL_READWRITEFILE_H */
+#endif // BITCOIN_UTIL_READWRITEFILE_H
diff --git a/src/util/ref.h b/src/util/ref.h
deleted file mode 100644
index 9685ea9fec..0000000000
--- a/src/util/ref.h
+++ /dev/null
@@ -1,38 +0,0 @@
-// Copyright (c) 2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#ifndef BITCOIN_UTIL_REF_H
-#define BITCOIN_UTIL_REF_H
-
-#include <util/check.h>
-
-#include <typeindex>
-
-namespace util {
-
-/**
- * Type-safe dynamic reference.
- *
- * This implements a small subset of the functionality in C++17's std::any
- * class, and can be dropped when the project updates to C++17
- * (https://github.com/bitcoin/bitcoin/issues/16684)
- */
-class Ref
-{
-public:
- Ref() = default;
- template<typename T> Ref(T& value) { Set(value); }
- template<typename T> T& Get() const { CHECK_NONFATAL(Has<T>()); return *static_cast<T*>(m_value); }
- template<typename T> void Set(T& value) { m_value = &value; m_type = std::type_index(typeid(T)); }
- template<typename T> bool Has() const { return m_value && m_type == std::type_index(typeid(T)); }
- void Clear() { m_value = nullptr; m_type = std::type_index(typeid(void)); }
-
-private:
- void* m_value = nullptr;
- std::type_index m_type = std::type_index(typeid(void));
-};
-
-} // namespace util
-
-#endif // BITCOIN_UTIL_REF_H
diff --git a/src/util/serfloat.cpp b/src/util/serfloat.cpp
new file mode 100644
index 0000000000..8edca924cd
--- /dev/null
+++ b/src/util/serfloat.cpp
@@ -0,0 +1,64 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <util/serfloat.h>
+
+#include <cmath>
+#include <limits>
+
+double DecodeDouble(uint64_t v) noexcept {
+ static constexpr double NANVAL = std::numeric_limits<double>::quiet_NaN();
+ static constexpr double INFVAL = std::numeric_limits<double>::infinity();
+ double sign = 1.0;
+ if (v & 0x8000000000000000) {
+ sign = -1.0;
+ v ^= 0x8000000000000000;
+ }
+ // Zero
+ if (v == 0) return copysign(0.0, sign);
+ // Infinity
+ if (v == 0x7ff0000000000000) return copysign(INFVAL, sign);
+ // Other numbers
+ int exp = (v & 0x7FF0000000000000) >> 52;
+ uint64_t man = v & 0xFFFFFFFFFFFFF;
+ if (exp == 2047) {
+ // NaN
+ return NANVAL;
+ } else if (exp == 0) {
+ // Subnormal
+ return copysign(ldexp((double)man, -1074), sign);
+ } else {
+ // Normal
+ return copysign(ldexp((double)(man + 0x10000000000000), -1075 + exp), sign);
+ }
+}
+
+uint64_t EncodeDouble(double f) noexcept {
+ int cls = std::fpclassify(f);
+ uint64_t sign = 0;
+ if (copysign(1.0, f) == -1.0) {
+ f = -f;
+ sign = 0x8000000000000000;
+ }
+ // Zero
+ if (cls == FP_ZERO) return sign;
+ // Infinity
+ if (cls == FP_INFINITE) return sign | 0x7ff0000000000000;
+ // NaN
+ if (cls == FP_NAN) return 0x7ff8000000000000;
+ // Other numbers
+ int exp;
+ uint64_t man = std::round(std::frexp(f, &exp) * 9007199254740992.0);
+ if (exp < -1021) {
+ // Too small to represent, encode 0
+ if (exp < -1084) return sign;
+ // Subnormal numbers
+ return sign | (man >> (-1021 - exp));
+ } else {
+ // Too big to represent, encode infinity
+ if (exp > 1024) return sign | 0x7ff0000000000000;
+ // Normal numbers
+ return sign | (((uint64_t)(1022 + exp)) << 52) | (man & 0xFFFFFFFFFFFFF);
+ }
+}
diff --git a/src/util/serfloat.h b/src/util/serfloat.h
new file mode 100644
index 0000000000..4d912b0176
--- /dev/null
+++ b/src/util/serfloat.h
@@ -0,0 +1,16 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_SERFLOAT_H
+#define BITCOIN_UTIL_SERFLOAT_H
+
+#include <stdint.h>
+
+/* Encode a double using the IEEE 754 binary64 format. All NaNs are encoded as x86/ARM's
+ * positive quiet NaN with payload 0. */
+uint64_t EncodeDouble(double f) noexcept;
+/* Reverse operation of DecodeDouble. DecodeDouble(EncodeDouble(f))==f unless isnan(f). */
+double DecodeDouble(uint64_t v) noexcept;
+
+#endif // BITCOIN_UTIL_SERFLOAT_H
diff --git a/src/util/settings.cpp b/src/util/settings.cpp
index b92b1d30c3..26439b010b 100644
--- a/src/util/settings.cpp
+++ b/src/util/settings.cpp
@@ -1,12 +1,18 @@
-// Copyright (c) 2019 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <fs.h>
#include <util/settings.h>
#include <tinyformat.h>
#include <univalue.h>
+#include <fstream>
+#include <map>
+#include <string>
+#include <vector>
+
namespace util {
namespace {
@@ -60,24 +66,30 @@ bool ReadSettings(const fs::path& path, std::map<std::string, SettingsValue>& va
values.clear();
errors.clear();
- fsbridge::ifstream file;
+ // Ok for file to not exist
+ if (!fs::exists(path)) return true;
+
+ std::ifstream file;
file.open(path);
- if (!file.is_open()) return true; // Ok for file not to exist.
+ if (!file.is_open()) {
+ errors.emplace_back(strprintf("%s. Please check permissions.", fs::PathToString(path)));
+ return false;
+ }
SettingsValue in;
if (!in.read(std::string{std::istreambuf_iterator<char>(file), std::istreambuf_iterator<char>()})) {
- errors.emplace_back(strprintf("Unable to parse settings file %s", path.string()));
+ errors.emplace_back(strprintf("Unable to parse settings file %s", fs::PathToString(path)));
return false;
}
if (file.fail()) {
- errors.emplace_back(strprintf("Failed reading settings file %s", path.string()));
+ errors.emplace_back(strprintf("Failed reading settings file %s", fs::PathToString(path)));
return false;
}
file.close(); // Done with file descriptor. Release while copying data.
if (!in.isObject()) {
- errors.emplace_back(strprintf("Found non-object value %s in settings file %s", in.write(), path.string()));
+ errors.emplace_back(strprintf("Found non-object value %s in settings file %s", in.write(), fs::PathToString(path)));
return false;
}
@@ -86,7 +98,7 @@ bool ReadSettings(const fs::path& path, std::map<std::string, SettingsValue>& va
for (size_t i = 0; i < in_keys.size(); ++i) {
auto inserted = values.emplace(in_keys[i], in_values[i]);
if (!inserted.second) {
- errors.emplace_back(strprintf("Found duplicate key %s in settings file %s", in_keys[i], path.string()));
+ errors.emplace_back(strprintf("Found duplicate key %s in settings file %s", in_keys[i], fs::PathToString(path)));
}
}
return errors.empty();
@@ -100,13 +112,13 @@ bool WriteSettings(const fs::path& path,
for (const auto& value : values) {
out.__pushKV(value.first, value.second);
}
- fsbridge::ofstream file;
+ std::ofstream file;
file.open(path);
if (file.fail()) {
- errors.emplace_back(strprintf("Error: Unable to open settings file %s for writing", path.string()));
+ errors.emplace_back(strprintf("Error: Unable to open settings file %s for writing", fs::PathToString(path)));
return false;
}
- file << out.write(/* prettyIndent= */ 1, /* indentLevel= */ 4) << std::endl;
+ file << out.write(/* prettyIndent= */ 4, /* indentLevel= */ 1) << std::endl;
file.close();
return true;
}
diff --git a/src/util/sock.cpp b/src/util/sock.cpp
index e13c52a16a..2029d70a37 100644
--- a/src/util/sock.cpp
+++ b/src/util/sock.cpp
@@ -10,12 +10,15 @@
#include <util/system.h>
#include <util/time.h>
-#include <codecvt>
-#include <cwchar>
-#include <locale>
+#include <memory>
#include <stdexcept>
#include <string>
+#ifdef WIN32
+#include <codecvt>
+#include <locale>
+#endif
+
#ifdef USE_POLL
#include <poll.h>
#endif
@@ -66,6 +69,42 @@ ssize_t Sock::Recv(void* buf, size_t len, int flags) const
return recv(m_socket, static_cast<char*>(buf), len, flags);
}
+int Sock::Connect(const sockaddr* addr, socklen_t addr_len) const
+{
+ return connect(m_socket, addr, addr_len);
+}
+
+std::unique_ptr<Sock> Sock::Accept(sockaddr* addr, socklen_t* addr_len) const
+{
+#ifdef WIN32
+ static constexpr auto ERR = INVALID_SOCKET;
+#else
+ static constexpr auto ERR = SOCKET_ERROR;
+#endif
+
+ std::unique_ptr<Sock> sock;
+
+ const auto socket = accept(m_socket, addr, addr_len);
+ if (socket != ERR) {
+ try {
+ sock = std::make_unique<Sock>(socket);
+ } catch (const std::exception&) {
+#ifdef WIN32
+ closesocket(socket);
+#else
+ close(socket);
+#endif
+ }
+ }
+
+ return sock;
+}
+
+int Sock::GetSockOpt(int level, int opt_name, void* opt_val, socklen_t* opt_len) const
+{
+ return getsockopt(m_socket, level, opt_name, static_cast<char*>(opt_val), opt_len);
+}
+
bool Sock::Wait(std::chrono::milliseconds timeout, Event requested, Event* occurred) const
{
#ifdef USE_POLL
@@ -169,13 +208,14 @@ void Sock::SendComplete(const std::string& data,
// Wait for a short while (or the socket to become ready for sending) before retrying
// if nothing was sent.
const auto wait_time = std::min(deadline - now, std::chrono::milliseconds{MAX_WAIT_FOR_IO});
- Wait(wait_time, SEND);
+ (void)Wait(wait_time, SEND);
}
}
std::string Sock::RecvUntilTerminator(uint8_t terminator,
std::chrono::milliseconds timeout,
- CThreadInterrupt& interrupt) const
+ CThreadInterrupt& interrupt,
+ size_t max_data) const
{
const auto deadline = GetTime<std::chrono::milliseconds>() + timeout;
std::string data;
@@ -190,9 +230,14 @@ std::string Sock::RecvUntilTerminator(uint8_t terminator,
// at a time is about 50 times slower.
for (;;) {
+ if (data.size() >= max_data) {
+ throw std::runtime_error(
+ strprintf("Received too many bytes without a terminator (%u)", data.size()));
+ }
+
char buf[512];
- const ssize_t peek_ret{Recv(buf, sizeof(buf), MSG_PEEK)};
+ const ssize_t peek_ret{Recv(buf, std::min(sizeof(buf), max_data - data.size()), MSG_PEEK)};
switch (peek_ret) {
case -1: {
@@ -246,7 +291,7 @@ std::string Sock::RecvUntilTerminator(uint8_t terminator,
// Wait for a short while (or the socket to become ready for reading) before retrying.
const auto wait_time = std::min(deadline - now, std::chrono::milliseconds{MAX_WAIT_FOR_IO});
- Wait(wait_time, RECV);
+ (void)Wait(wait_time, RECV);
}
}
diff --git a/src/util/sock.h b/src/util/sock.h
index ecebb84205..7510482857 100644
--- a/src/util/sock.h
+++ b/src/util/sock.h
@@ -10,6 +10,7 @@
#include <util/time.h>
#include <chrono>
+#include <memory>
#include <string>
/**
@@ -64,7 +65,7 @@ public:
* Get the value of the contained socket.
* @return socket or INVALID_SOCKET if empty
*/
- virtual SOCKET Get() const;
+ [[nodiscard]] virtual SOCKET Get() const;
/**
* Get the value of the contained socket and drop ownership. It will not be closed by the
@@ -80,15 +81,39 @@ public:
/**
* send(2) wrapper. Equivalent to `send(this->Get(), data, len, flags);`. Code that uses this
- * wrapper can be unit-tested if this method is overridden by a mock Sock implementation.
+ * wrapper can be unit tested if this method is overridden by a mock Sock implementation.
*/
- virtual ssize_t Send(const void* data, size_t len, int flags) const;
+ [[nodiscard]] virtual ssize_t Send(const void* data, size_t len, int flags) const;
/**
* recv(2) wrapper. Equivalent to `recv(this->Get(), buf, len, flags);`. Code that uses this
- * wrapper can be unit-tested if this method is overridden by a mock Sock implementation.
+ * wrapper can be unit tested if this method is overridden by a mock Sock implementation.
*/
- virtual ssize_t Recv(void* buf, size_t len, int flags) const;
+ [[nodiscard]] virtual ssize_t Recv(void* buf, size_t len, int flags) const;
+
+ /**
+ * connect(2) wrapper. Equivalent to `connect(this->Get(), addr, addrlen)`. Code that uses this
+ * wrapper can be unit tested if this method is overridden by a mock Sock implementation.
+ */
+ [[nodiscard]] virtual int Connect(const sockaddr* addr, socklen_t addr_len) const;
+
+ /**
+ * accept(2) wrapper. Equivalent to `std::make_unique<Sock>(accept(this->Get(), addr, addr_len))`.
+ * Code that uses this wrapper can be unit tested if this method is overridden by a mock Sock
+ * implementation.
+ * The returned unique_ptr is empty if `accept()` failed in which case errno will be set.
+ */
+ [[nodiscard]] virtual std::unique_ptr<Sock> Accept(sockaddr* addr, socklen_t* addr_len) const;
+
+ /**
+ * getsockopt(2) wrapper. Equivalent to
+ * `getsockopt(this->Get(), level, opt_name, opt_val, opt_len)`. Code that uses this
+ * wrapper can be unit tested if this method is overridden by a mock Sock implementation.
+ */
+ [[nodiscard]] virtual int GetSockOpt(int level,
+ int opt_name,
+ void* opt_val,
+ socklen_t* opt_len) const;
using Event = uint8_t;
@@ -111,9 +136,9 @@ public:
* value of `true` and `occurred` being set to 0.
* @return true on success and false otherwise
*/
- virtual bool Wait(std::chrono::milliseconds timeout,
- Event requested,
- Event* occurred = nullptr) const;
+ [[nodiscard]] virtual bool Wait(std::chrono::milliseconds timeout,
+ Event requested,
+ Event* occurred = nullptr) const;
/* Higher level, convenience, methods. These may throw. */
@@ -135,22 +160,25 @@ public:
* @param[in] terminator Character up to which to read from the socket.
* @param[in] timeout Timeout for the entire operation.
* @param[in] interrupt If this is signaled then the operation is canceled.
+ * @param[in] max_data The maximum amount of data (in bytes) to receive. If this many bytes
+ * are received and there is still no terminator, then this method will throw an exception.
* @return The data that has been read, without the terminating character.
* @throws std::runtime_error if the operation cannot be completed. In this case some bytes may
* have been consumed from the socket.
*/
- virtual std::string RecvUntilTerminator(uint8_t terminator,
- std::chrono::milliseconds timeout,
- CThreadInterrupt& interrupt) const;
+ [[nodiscard]] virtual std::string RecvUntilTerminator(uint8_t terminator,
+ std::chrono::milliseconds timeout,
+ CThreadInterrupt& interrupt,
+ size_t max_data) const;
/**
* Check if still connected.
- * @param[out] err The error string, if the socket has been disconnected.
+ * @param[out] errmsg The error string, if the socket has been disconnected.
* @return true if connected
*/
- virtual bool IsConnected(std::string& errmsg) const;
+ [[nodiscard]] virtual bool IsConnected(std::string& errmsg) const;
-private:
+protected:
/**
* Contained socket. `INVALID_SOCKET` designates the object is empty.
*/
diff --git a/src/util/spanparsing.cpp b/src/util/spanparsing.cpp
index 0f68254f2c..50f6aee419 100644
--- a/src/util/spanparsing.cpp
+++ b/src/util/spanparsing.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2019 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -34,11 +34,11 @@ Span<const char> Expr(Span<const char>& sp)
int level = 0;
auto it = sp.begin();
while (it != sp.end()) {
- if (*it == '(') {
+ if (*it == '(' || *it == '{') {
++level;
- } else if (level && *it == ')') {
+ } else if (level && (*it == ')' || *it == '}')) {
--level;
- } else if (level == 0 && (*it == ')' || *it == ',')) {
+ } else if (level == 0 && (*it == ')' || *it == '}' || *it == ',')) {
break;
}
++it;
diff --git a/src/util/strencodings.cpp b/src/util/strencodings.cpp
index f3d54a2ac9..940fa90da2 100644
--- a/src/util/strencodings.cpp
+++ b/src/util/strencodings.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,8 +11,8 @@
#include <algorithm>
#include <cstdlib>
#include <cstring>
-#include <errno.h>
#include <limits>
+#include <optional>
static const std::string CHARS_ALPHA_NUM = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789";
@@ -92,7 +92,7 @@ std::vector<unsigned char> ParseHex(const char* psz)
signed char c = HexDigit(*psz++);
if (c == (signed char)-1)
break;
- unsigned char n = (c << 4);
+ auto n{uint8_t(c << 4)};
c = HexDigit(*psz++);
if (c == (signed char)-1)
break;
@@ -107,23 +107,25 @@ std::vector<unsigned char> ParseHex(const std::string& str)
return ParseHex(str.c_str());
}
-void SplitHostPort(std::string in, int &portOut, std::string &hostOut) {
+void SplitHostPort(std::string in, uint16_t& portOut, std::string& hostOut)
+{
size_t colon = in.find_last_of(':');
// if a : is found, and it either follows a [...], or no other : is in the string, treat it as port separator
bool fHaveColon = colon != in.npos;
- bool fBracketed = fHaveColon && (in[0]=='[' && in[colon-1]==']'); // if there is a colon, and in[0]=='[', colon is not 0, so in[colon-1] is safe
- bool fMultiColon = fHaveColon && (in.find_last_of(':',colon-1) != in.npos);
- if (fHaveColon && (colon==0 || fBracketed || !fMultiColon)) {
- int32_t n;
- if (ParseInt32(in.substr(colon + 1), &n) && n > 0 && n < 0x10000) {
+ bool fBracketed = fHaveColon && (in[0] == '[' && in[colon - 1] == ']'); // if there is a colon, and in[0]=='[', colon is not 0, so in[colon-1] is safe
+ bool fMultiColon{fHaveColon && colon != 0 && (in.find_last_of(':', colon - 1) != in.npos)};
+ if (fHaveColon && (colon == 0 || fBracketed || !fMultiColon)) {
+ uint16_t n;
+ if (ParseUInt16(in.substr(colon + 1), &n)) {
in = in.substr(0, colon);
portOut = n;
}
}
- if (in.size()>0 && in[0] == '[' && in[in.size()-1] == ']')
- hostOut = in.substr(1, in.size()-2);
- else
+ if (in.size() > 0 && in[0] == '[' && in[in.size() - 1] == ']') {
+ hostOut = in.substr(1, in.size() - 2);
+ } else {
hostOut = in;
+ }
}
std::string EncodeBase64(Span<const unsigned char> input)
@@ -137,15 +139,9 @@ std::string EncodeBase64(Span<const unsigned char> input)
return str;
}
-std::string EncodeBase64(const std::string& str)
-{
- return EncodeBase64(MakeUCharSpan(str));
-}
-
std::vector<unsigned char> DecodeBase64(const char* p, bool* pf_invalid)
{
- static const int decode64_table[256] =
- {
+ static const int8_t decode64_table[256]{
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, 62, -1, -1, -1, 63, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, -1, -1,
@@ -167,7 +163,7 @@ std::vector<unsigned char> DecodeBase64(const char* p, bool* pf_invalid)
while (*p != 0) {
int x = decode64_table[(unsigned char)*p];
if (x == -1) break;
- val.push_back(x);
+ val.push_back(uint8_t(x));
++p;
}
@@ -223,8 +219,7 @@ std::string EncodeBase32(const std::string& str, bool pad)
std::vector<unsigned char> DecodeBase32(const char* p, bool* pf_invalid)
{
- static const int decode32_table[256] =
- {
+ static const int8_t decode32_table[256]{
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 26, 27, 28, 29, 30, 31, -1, -1, -1, -1,
@@ -246,7 +241,7 @@ std::vector<unsigned char> DecodeBase32(const char* p, bool* pf_invalid)
while (*p != 0) {
int x = decode32_table[(unsigned char)*p];
if (x == -1) break;
- val.push_back(x);
+ val.push_back(uint8_t(x));
++p;
}
@@ -280,110 +275,60 @@ std::string DecodeBase32(const std::string& str, bool* pf_invalid)
return std::string((const char*)vchRet.data(), vchRet.size());
}
-[[nodiscard]] static bool ParsePrechecks(const std::string& str)
+namespace {
+template <typename T>
+bool ParseIntegral(const std::string& str, T* out)
{
- if (str.empty()) // No empty string allowed
- return false;
- if (str.size() >= 1 && (IsSpace(str[0]) || IsSpace(str[str.size()-1]))) // No padding allowed
+ static_assert(std::is_integral<T>::value);
+ // Replicate the exact behavior of strtol/strtoll/strtoul/strtoull when
+ // handling leading +/- for backwards compatibility.
+ if (str.length() >= 2 && str[0] == '+' && str[1] == '-') {
return false;
- if (!ValidAsCString(str)) // No embedded NUL characters allowed
+ }
+ const std::optional<T> opt_int = ToIntegral<T>((!str.empty() && str[0] == '+') ? str.substr(1) : str);
+ if (!opt_int) {
return false;
+ }
+ if (out != nullptr) {
+ *out = *opt_int;
+ }
return true;
}
+}; // namespace
-bool ParseInt32(const std::string& str, int32_t *out)
+bool ParseInt32(const std::string& str, int32_t* out)
{
- if (!ParsePrechecks(str))
- return false;
- char *endp = nullptr;
- errno = 0; // strtol will not set errno if valid
- long int n = strtol(str.c_str(), &endp, 10);
- if(out) *out = (int32_t)n;
- // Note that strtol returns a *long int*, so even if strtol doesn't report an over/underflow
- // we still have to check that the returned value is within the range of an *int32_t*. On 64-bit
- // platforms the size of these types may be different.
- return endp && *endp == 0 && !errno &&
- n >= std::numeric_limits<int32_t>::min() &&
- n <= std::numeric_limits<int32_t>::max();
+ return ParseIntegral<int32_t>(str, out);
}
-bool ParseInt64(const std::string& str, int64_t *out)
+bool ParseInt64(const std::string& str, int64_t* out)
{
- if (!ParsePrechecks(str))
- return false;
- char *endp = nullptr;
- errno = 0; // strtoll will not set errno if valid
- long long int n = strtoll(str.c_str(), &endp, 10);
- if(out) *out = (int64_t)n;
- // Note that strtoll returns a *long long int*, so even if strtol doesn't report an over/underflow
- // we still have to check that the returned value is within the range of an *int64_t*.
- return endp && *endp == 0 && !errno &&
- n >= std::numeric_limits<int64_t>::min() &&
- n <= std::numeric_limits<int64_t>::max();
+ return ParseIntegral<int64_t>(str, out);
}
-bool ParseUInt8(const std::string& str, uint8_t *out)
+bool ParseUInt8(const std::string& str, uint8_t* out)
{
- uint32_t u32;
- if (!ParseUInt32(str, &u32) || u32 > std::numeric_limits<uint8_t>::max()) {
- return false;
- }
- if (out != nullptr) {
- *out = static_cast<uint8_t>(u32);
- }
- return true;
+ return ParseIntegral<uint8_t>(str, out);
}
-bool ParseUInt32(const std::string& str, uint32_t *out)
+bool ParseUInt16(const std::string& str, uint16_t* out)
{
- if (!ParsePrechecks(str))
- return false;
- if (str.size() >= 1 && str[0] == '-') // Reject negative values, unfortunately strtoul accepts these by default if they fit in the range
- return false;
- char *endp = nullptr;
- errno = 0; // strtoul will not set errno if valid
- unsigned long int n = strtoul(str.c_str(), &endp, 10);
- if(out) *out = (uint32_t)n;
- // Note that strtoul returns a *unsigned long int*, so even if it doesn't report an over/underflow
- // we still have to check that the returned value is within the range of an *uint32_t*. On 64-bit
- // platforms the size of these types may be different.
- return endp && *endp == 0 && !errno &&
- n <= std::numeric_limits<uint32_t>::max();
+ return ParseIntegral<uint16_t>(str, out);
}
-bool ParseUInt64(const std::string& str, uint64_t *out)
+bool ParseUInt32(const std::string& str, uint32_t* out)
{
- if (!ParsePrechecks(str))
- return false;
- if (str.size() >= 1 && str[0] == '-') // Reject negative values, unfortunately strtoull accepts these by default if they fit in the range
- return false;
- char *endp = nullptr;
- errno = 0; // strtoull will not set errno if valid
- unsigned long long int n = strtoull(str.c_str(), &endp, 10);
- if(out) *out = (uint64_t)n;
- // Note that strtoull returns a *unsigned long long int*, so even if it doesn't report an over/underflow
- // we still have to check that the returned value is within the range of an *uint64_t*.
- return endp && *endp == 0 && !errno &&
- n <= std::numeric_limits<uint64_t>::max();
+ return ParseIntegral<uint32_t>(str, out);
}
-
-bool ParseDouble(const std::string& str, double *out)
+bool ParseUInt64(const std::string& str, uint64_t* out)
{
- if (!ParsePrechecks(str))
- return false;
- if (str.size() >= 2 && str[0] == '0' && str[1] == 'x') // No hexadecimal floats allowed
- return false;
- std::istringstream text(str);
- text.imbue(std::locale::classic());
- double result;
- text >> result;
- if(out) *out = result;
- return text.eof() && !text.fail();
+ return ParseIntegral<uint64_t>(str, out);
}
std::string FormatParagraph(const std::string& in, size_t width, size_t indent)
{
+ assert(width >= indent);
std::stringstream out;
size_t ptr = 0;
size_t indented = 0;
@@ -423,20 +368,6 @@ std::string FormatParagraph(const std::string& in, size_t width, size_t indent)
return out.str();
}
-int64_t atoi64(const std::string& str)
-{
-#ifdef _MSC_VER
- return _atoi64(str.c_str());
-#else
- return strtoll(str.c_str(), nullptr, 10);
-#endif
-}
-
-int atoi(const std::string& str)
-{
- return atoi(str.c_str());
-}
-
/** Upper bound for mantissa.
* 10^18-1 is the largest arbitrary decimal that will fit in a signed 64-bit integer.
* Larger integers cannot consist of arbitrary combinations of 0-9:
@@ -559,14 +490,14 @@ bool ParseFixedPoint(const std::string &val, int decimals, int64_t *amount_out)
std::string ToLower(const std::string& str)
{
std::string r;
- for (auto ch : str) r += ToLower((unsigned char)ch);
+ for (auto ch : str) r += ToLower(ch);
return r;
}
std::string ToUpper(const std::string& str)
{
std::string r;
- for (auto ch : str) r += ToUpper((unsigned char)ch);
+ for (auto ch : str) r += ToUpper(ch);
return r;
}
@@ -579,13 +510,59 @@ std::string Capitalize(std::string str)
std::string HexStr(const Span<const uint8_t> s)
{
- std::string rv;
+ std::string rv(s.size() * 2, '\0');
static constexpr char hexmap[16] = { '0', '1', '2', '3', '4', '5', '6', '7',
'8', '9', 'a', 'b', 'c', 'd', 'e', 'f' };
- rv.reserve(s.size() * 2);
- for (uint8_t v: s) {
- rv.push_back(hexmap[v >> 4]);
- rv.push_back(hexmap[v & 15]);
+ auto it = rv.begin();
+ for (uint8_t v : s) {
+ *it++ = hexmap[v >> 4];
+ *it++ = hexmap[v & 15];
}
+ assert(it == rv.end());
return rv;
}
+
+std::optional<uint64_t> ParseByteUnits(const std::string& str, ByteUnit default_multiplier)
+{
+ if (str.empty()) {
+ return std::nullopt;
+ }
+ auto multiplier = default_multiplier;
+ char unit = str.back();
+ switch (unit) {
+ case 'k':
+ multiplier = ByteUnit::k;
+ break;
+ case 'K':
+ multiplier = ByteUnit::K;
+ break;
+ case 'm':
+ multiplier = ByteUnit::m;
+ break;
+ case 'M':
+ multiplier = ByteUnit::M;
+ break;
+ case 'g':
+ multiplier = ByteUnit::g;
+ break;
+ case 'G':
+ multiplier = ByteUnit::G;
+ break;
+ case 't':
+ multiplier = ByteUnit::t;
+ break;
+ case 'T':
+ multiplier = ByteUnit::T;
+ break;
+ default:
+ unit = 0;
+ break;
+ }
+
+ uint64_t unit_amount = static_cast<uint64_t>(multiplier);
+ auto parsed_num = ToIntegral<uint64_t>(unit ? str.substr(0, str.size() - 1) : str);
+ if (!parsed_num || parsed_num > std::numeric_limits<uint64_t>::max() / unit_amount) { // check overflow
+ return std::nullopt;
+ }
+ return *parsed_num * unit_amount;
+}
diff --git a/src/util/strencodings.h b/src/util/strencodings.h
index 98379e9138..1f83fa3ffa 100644
--- a/src/util/strencodings.h
+++ b/src/util/strencodings.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,9 +11,13 @@
#include <attributes.h>
#include <span.h>
+#include <util/string.h>
+#include <charconv>
#include <cstdint>
#include <iterator>
+#include <limits>
+#include <optional>
#include <string>
#include <vector>
@@ -27,6 +31,23 @@ enum SafeChars
};
/**
+ * Used by ParseByteUnits()
+ * Lowercase base 1000
+ * Uppercase base 1024
+*/
+enum class ByteUnit : uint64_t {
+ NOOP = 1ULL,
+ k = 1000ULL,
+ K = 1024ULL,
+ m = 1'000'000ULL,
+ M = 1ULL << 20,
+ g = 1'000'000'000ULL,
+ G = 1ULL << 30,
+ t = 1'000'000'000'000ULL,
+ T = 1ULL << 40,
+};
+
+/**
* Remove unsafe chars. Safe chars chosen to allow simple messages/URLs/email
* addresses, but avoid anything even possibly remotely dangerous like & or >
* @param[in] str The string to sanitize
@@ -47,7 +68,8 @@ bool IsHexNumber(const std::string& str);
std::vector<unsigned char> DecodeBase64(const char* p, bool* pf_invalid = nullptr);
std::string DecodeBase64(const std::string& str, bool* pf_invalid = nullptr);
std::string EncodeBase64(Span<const unsigned char> input);
-std::string EncodeBase64(const std::string& str);
+inline std::string EncodeBase64(Span<const std::byte> input) { return EncodeBase64(MakeUCharSpan(input)); }
+inline std::string EncodeBase64(const std::string& str) { return EncodeBase64(MakeUCharSpan(str)); }
std::vector<unsigned char> DecodeBase32(const char* p, bool* pf_invalid = nullptr);
std::string DecodeBase32(const std::string& str, bool* pf_invalid = nullptr);
@@ -65,9 +87,46 @@ std::string EncodeBase32(Span<const unsigned char> input, bool pad = true);
*/
std::string EncodeBase32(const std::string& str, bool pad = true);
-void SplitHostPort(std::string in, int& portOut, std::string& hostOut);
-int64_t atoi64(const std::string& str);
-int atoi(const std::string& str);
+void SplitHostPort(std::string in, uint16_t& portOut, std::string& hostOut);
+
+// LocaleIndependentAtoi is provided for backwards compatibility reasons.
+//
+// New code should use ToIntegral or the ParseInt* functions
+// which provide parse error feedback.
+//
+// The goal of LocaleIndependentAtoi is to replicate the defined behaviour of
+// std::atoi as it behaves under the "C" locale, and remove some undefined
+// behavior. If the parsed value is bigger than the integer type's maximum
+// value, or smaller than the integer type's minimum value, std::atoi has
+// undefined behavior, while this function returns the maximum or minimum
+// values, respectively.
+template <typename T>
+T LocaleIndependentAtoi(const std::string& str)
+{
+ static_assert(std::is_integral<T>::value);
+ T result;
+ // Emulate atoi(...) handling of white space and leading +/-.
+ std::string s = TrimString(str);
+ if (!s.empty() && s[0] == '+') {
+ if (s.length() >= 2 && s[1] == '-') {
+ return 0;
+ }
+ s = s.substr(1);
+ }
+ auto [_, error_condition] = std::from_chars(s.data(), s.data() + s.size(), result);
+ if (error_condition == std::errc::result_out_of_range) {
+ if (s.length() >= 1 && s[0] == '-') {
+ // Saturate underflow, per strtoll's behavior.
+ return std::numeric_limits<T>::min();
+ } else {
+ // Saturate overflow, per strtoll's behavior.
+ return std::numeric_limits<T>::max();
+ }
+ } else if (error_condition != std::errc{}) {
+ return 0;
+ }
+ return result;
+}
/**
* Tests if the given character is a decimal digit.
@@ -95,6 +154,26 @@ constexpr inline bool IsSpace(char c) noexcept {
}
/**
+ * Convert string to integral type T. Leading whitespace, a leading +, or any
+ * trailing character fail the parsing. The required format expressed as regex
+ * is `-?[0-9]+`. The minus sign is only permitted for signed integer types.
+ *
+ * @returns std::nullopt if the entire string could not be parsed, or if the
+ * parsed value is not in the range representable by the type T.
+ */
+template <typename T>
+std::optional<T> ToIntegral(const std::string& str)
+{
+ static_assert(std::is_integral<T>::value);
+ T result;
+ const auto [first_nonmatching, error_condition] = std::from_chars(str.data(), str.data() + str.size(), result);
+ if (first_nonmatching != str.data() + str.size() || error_condition != std::errc{}) {
+ return std::nullopt;
+ }
+ return result;
+}
+
+/**
* Convert string to signed 32-bit integer with strict parse error feedback.
* @returns true if the entire string could be parsed as valid integer,
* false if not the entire string could be parsed or when overflow or underflow occurred.
@@ -116,6 +195,13 @@ constexpr inline bool IsSpace(char c) noexcept {
[[nodiscard]] bool ParseUInt8(const std::string& str, uint8_t *out);
/**
+ * Convert decimal string to unsigned 16-bit integer with strict parse error feedback.
+ * @returns true if the entire string could be parsed as valid integer,
+ * false if the entire string could not be parsed or if overflow or underflow occurred.
+ */
+[[nodiscard]] bool ParseUInt16(const std::string& str, uint16_t* out);
+
+/**
* Convert decimal string to unsigned 32-bit integer with strict parse error feedback.
* @returns true if the entire string could be parsed as valid integer,
* false if not the entire string could be parsed or when overflow or underflow occurred.
@@ -130,17 +216,11 @@ constexpr inline bool IsSpace(char c) noexcept {
[[nodiscard]] bool ParseUInt64(const std::string& str, uint64_t *out);
/**
- * Convert string to double with strict parse error feedback.
- * @returns true if the entire string could be parsed as valid double,
- * false if not the entire string could be parsed or when overflow or underflow occurred.
- */
-[[nodiscard]] bool ParseDouble(const std::string& str, double *out);
-
-/**
* Convert a span of bytes to a lower-case hexadecimal string.
*/
std::string HexStr(const Span<const uint8_t> s);
inline std::string HexStr(const Span<const char> s) { return HexStr(MakeUCharSpan(s)); }
+inline std::string HexStr(const Span<const std::byte> s) { return HexStr(MakeUCharSpan(s)); }
/**
* Format a paragraph of text to a fixed width, adding spaces for
@@ -159,7 +239,7 @@ bool TimingResistantEqual(const T& a, const T& b)
if (b.size() == 0) return a.size() == 0;
size_t accumulator = a.size() ^ b.size();
for (size_t i = 0; i < a.size(); i++)
- accumulator |= a[i] ^ b[i%b.size()];
+ accumulator |= size_t(a[i] ^ b[i%b.size()]);
return accumulator == 0;
}
@@ -257,4 +337,17 @@ std::string ToUpper(const std::string& str);
*/
std::string Capitalize(std::string str);
+/**
+ * Parse a string with suffix unit [k|K|m|M|g|G|t|T].
+ * Must be a whole integer, fractions not allowed (0.5t), no whitespace or +-
+ * Lowercase units are 1000 base. Uppercase units are 1024 base.
+ * Examples: 2m,27M,19g,41T
+ *
+ * @param[in] str the string to convert into bytes
+ * @param[in] default_multiplier if no unit is found in str use this unit
+ * @returns optional uint64_t bytes from str or nullopt
+ * if ToIntegral is false, str is empty, trailing whitespace or overflow
+ */
+std::optional<uint64_t> ParseByteUnits(const std::string& str, ByteUnit default_multiplier);
+
#endif // BITCOIN_UTIL_STRENCODINGS_H
diff --git a/src/util/string.h b/src/util/string.h
index b26facc502..a3b8df8d78 100644
--- a/src/util/string.h
+++ b/src/util/string.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -65,6 +65,14 @@ inline std::string Join(const std::vector<std::string>& list, const std::string&
}
/**
+ * Create an unordered multi-line list of items.
+ */
+inline std::string MakeUnorderedList(const std::vector<std::string>& items)
+{
+ return Join(items, "\n", [](const std::string& item) { return "- " + item; });
+}
+
+/**
* Check if a string does not contain any embedded NUL (\0) characters
*/
[[nodiscard]] inline bool ValidAsCString(const std::string& str) noexcept
@@ -95,4 +103,4 @@ template <typename T1, size_t PREFIX_LEN>
std::equal(std::begin(prefix), std::end(prefix), std::begin(obj));
}
-#endif // BITCOIN_UTIL_STRENCODINGS_H
+#endif // BITCOIN_UTIL_STRING_H
diff --git a/src/util/syscall_sandbox.cpp b/src/util/syscall_sandbox.cpp
new file mode 100644
index 0000000000..f513dba598
--- /dev/null
+++ b/src/util/syscall_sandbox.cpp
@@ -0,0 +1,922 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#if defined(HAVE_CONFIG_H)
+#include <config/bitcoin-config.h>
+#endif // defined(HAVE_CONFIG_H)
+
+#include <util/syscall_sandbox.h>
+
+#if defined(USE_SYSCALL_SANDBOX)
+#include <array>
+#include <cassert>
+#include <cstdint>
+#include <exception>
+#include <map>
+#include <new>
+#include <set>
+#include <string>
+#include <vector>
+
+#include <logging.h>
+#include <tinyformat.h>
+#include <util/threadnames.h>
+
+#include <linux/audit.h>
+#include <linux/filter.h>
+#include <linux/seccomp.h>
+#include <linux/unistd.h>
+#include <signal.h>
+#include <sys/prctl.h>
+#include <sys/types.h>
+#include <unistd.h>
+
+namespace {
+bool g_syscall_sandbox_enabled{false};
+bool g_syscall_sandbox_log_violation_before_terminating{false};
+
+#if !defined(__x86_64__)
+#error Syscall sandbox is an experimental feature currently available only under Linux x86-64.
+#endif // defined(__x86_64__)
+
+#ifndef SECCOMP_RET_KILL_PROCESS
+#define SECCOMP_RET_KILL_PROCESS 0x80000000U
+#endif
+
+// Define system call numbers for x86_64 that are referenced in the system call profile
+// but not provided by the kernel headers used in the GUIX build.
+// Usually, they can be found via "grep name /usr/include/x86_64-linux-gnu/asm/unistd_64.h"
+
+#ifndef __NR_clone3
+#define __NR_clone3 435
+#endif
+
+#ifndef __NR_statx
+#define __NR_statx 332
+#endif
+
+#ifndef __NR_getrandom
+#define __NR_getrandom 318
+#endif
+
+#ifndef __NR_membarrier
+#define __NR_membarrier 324
+#endif
+
+#ifndef __NR_copy_file_range
+#define __NR_copy_file_range 326
+#endif
+
+// This list of syscalls in LINUX_SYSCALLS is only used to map syscall numbers to syscall names in
+// order to be able to print user friendly error messages which include the syscall name in addition
+// to the syscall number.
+//
+// Example output in case of a syscall violation where the syscall is present in LINUX_SYSCALLS:
+//
+// ```
+// 2021-06-09T12:34:56Z ERROR: The syscall "execve" (syscall number 59) is not allowed by the syscall sandbox in thread "msghand". Please report.
+// ```
+//
+// Example output in case of a syscall violation where the syscall is not present in LINUX_SYSCALLS:
+//
+// ```
+// 2021-06-09T12:34:56Z ERROR: The syscall "*unknown*" (syscall number 314) is not allowed by the syscall sandbox in thread "msghand". Please report.
+// ``
+//
+// LINUX_SYSCALLS contains two types of syscalls:
+// 1.) Syscalls that are present under all architectures or relevant Linux kernel versions for which
+// we support the syscall sandbox feature (currently only Linux x86-64). Examples include read,
+// write, open, close, etc.
+// 2.) Syscalls that are present under a subset of architectures or relevant Linux kernel versions
+// for which we support the syscall sandbox feature. This type of syscalls should be added to
+// LINUX_SYSCALLS conditional on availability like in the following example:
+// ...
+// #if defined(__NR_arch_dependent_syscall)
+// {__NR_arch_dependent_syscall, "arch_dependent_syscall"},
+// #endif // defined(__NR_arch_dependent_syscall)
+// ...
+const std::map<uint32_t, std::string> LINUX_SYSCALLS{
+ {__NR_accept, "accept"},
+ {__NR_accept4, "accept4"},
+ {__NR_access, "access"},
+ {__NR_acct, "acct"},
+ {__NR_add_key, "add_key"},
+ {__NR_adjtimex, "adjtimex"},
+ {__NR_afs_syscall, "afs_syscall"},
+ {__NR_alarm, "alarm"},
+ {__NR_arch_prctl, "arch_prctl"},
+ {__NR_bind, "bind"},
+ {__NR_bpf, "bpf"},
+ {__NR_brk, "brk"},
+ {__NR_capget, "capget"},
+ {__NR_capset, "capset"},
+ {__NR_chdir, "chdir"},
+ {__NR_chmod, "chmod"},
+ {__NR_chown, "chown"},
+ {__NR_chroot, "chroot"},
+ {__NR_clock_adjtime, "clock_adjtime"},
+ {__NR_clock_getres, "clock_getres"},
+ {__NR_clock_gettime, "clock_gettime"},
+ {__NR_clock_nanosleep, "clock_nanosleep"},
+ {__NR_clock_settime, "clock_settime"},
+ {__NR_clone, "clone"},
+ {__NR_clone3, "clone3"},
+ {__NR_close, "close"},
+ {__NR_connect, "connect"},
+ {__NR_copy_file_range, "copy_file_range"},
+ {__NR_creat, "creat"},
+ {__NR_create_module, "create_module"},
+ {__NR_delete_module, "delete_module"},
+ {__NR_dup, "dup"},
+ {__NR_dup2, "dup2"},
+ {__NR_dup3, "dup3"},
+ {__NR_epoll_create, "epoll_create"},
+ {__NR_epoll_create1, "epoll_create1"},
+ {__NR_epoll_ctl, "epoll_ctl"},
+ {__NR_epoll_ctl_old, "epoll_ctl_old"},
+ {__NR_epoll_pwait, "epoll_pwait"},
+ {__NR_epoll_wait, "epoll_wait"},
+ {__NR_epoll_wait_old, "epoll_wait_old"},
+ {__NR_eventfd, "eventfd"},
+ {__NR_eventfd2, "eventfd2"},
+ {__NR_execve, "execve"},
+ {__NR_execveat, "execveat"},
+ {__NR_exit, "exit"},
+ {__NR_exit_group, "exit_group"},
+ {__NR_faccessat, "faccessat"},
+ {__NR_fadvise64, "fadvise64"},
+ {__NR_fallocate, "fallocate"},
+ {__NR_fanotify_init, "fanotify_init"},
+ {__NR_fanotify_mark, "fanotify_mark"},
+ {__NR_fchdir, "fchdir"},
+ {__NR_fchmod, "fchmod"},
+ {__NR_fchmodat, "fchmodat"},
+ {__NR_fchown, "fchown"},
+ {__NR_fchownat, "fchownat"},
+ {__NR_fcntl, "fcntl"},
+ {__NR_fdatasync, "fdatasync"},
+ {__NR_fgetxattr, "fgetxattr"},
+ {__NR_finit_module, "finit_module"},
+ {__NR_flistxattr, "flistxattr"},
+ {__NR_flock, "flock"},
+ {__NR_fork, "fork"},
+ {__NR_fremovexattr, "fremovexattr"},
+ {__NR_fsetxattr, "fsetxattr"},
+ {__NR_fstat, "fstat"},
+ {__NR_fstatfs, "fstatfs"},
+ {__NR_fsync, "fsync"},
+ {__NR_ftruncate, "ftruncate"},
+ {__NR_futex, "futex"},
+ {__NR_futimesat, "futimesat"},
+ {__NR_get_kernel_syms, "get_kernel_syms"},
+ {__NR_get_mempolicy, "get_mempolicy"},
+ {__NR_get_robust_list, "get_robust_list"},
+ {__NR_get_thread_area, "get_thread_area"},
+ {__NR_getcpu, "getcpu"},
+ {__NR_getcwd, "getcwd"},
+ {__NR_getdents, "getdents"},
+ {__NR_getdents64, "getdents64"},
+ {__NR_getegid, "getegid"},
+ {__NR_geteuid, "geteuid"},
+ {__NR_getgid, "getgid"},
+ {__NR_getgroups, "getgroups"},
+ {__NR_getitimer, "getitimer"},
+ {__NR_getpeername, "getpeername"},
+ {__NR_getpgid, "getpgid"},
+ {__NR_getpgrp, "getpgrp"},
+ {__NR_getpid, "getpid"},
+ {__NR_getpmsg, "getpmsg"},
+ {__NR_getppid, "getppid"},
+ {__NR_getpriority, "getpriority"},
+ {__NR_getrandom, "getrandom"},
+ {__NR_getresgid, "getresgid"},
+ {__NR_getresuid, "getresuid"},
+ {__NR_getrlimit, "getrlimit"},
+ {__NR_getrusage, "getrusage"},
+ {__NR_getsid, "getsid"},
+ {__NR_getsockname, "getsockname"},
+ {__NR_getsockopt, "getsockopt"},
+ {__NR_gettid, "gettid"},
+ {__NR_gettimeofday, "gettimeofday"},
+ {__NR_getuid, "getuid"},
+ {__NR_getxattr, "getxattr"},
+ {__NR_init_module, "init_module"},
+ {__NR_inotify_add_watch, "inotify_add_watch"},
+ {__NR_inotify_init, "inotify_init"},
+ {__NR_inotify_init1, "inotify_init1"},
+ {__NR_inotify_rm_watch, "inotify_rm_watch"},
+ {__NR_io_cancel, "io_cancel"},
+ {__NR_io_destroy, "io_destroy"},
+ {__NR_io_getevents, "io_getevents"},
+ {__NR_io_setup, "io_setup"},
+ {__NR_io_submit, "io_submit"},
+ {__NR_ioctl, "ioctl"},
+ {__NR_ioperm, "ioperm"},
+ {__NR_iopl, "iopl"},
+ {__NR_ioprio_get, "ioprio_get"},
+ {__NR_ioprio_set, "ioprio_set"},
+ {__NR_kcmp, "kcmp"},
+ {__NR_kexec_file_load, "kexec_file_load"},
+ {__NR_kexec_load, "kexec_load"},
+ {__NR_keyctl, "keyctl"},
+ {__NR_kill, "kill"},
+ {__NR_lchown, "lchown"},
+ {__NR_lgetxattr, "lgetxattr"},
+ {__NR_link, "link"},
+ {__NR_linkat, "linkat"},
+ {__NR_listen, "listen"},
+ {__NR_listxattr, "listxattr"},
+ {__NR_llistxattr, "llistxattr"},
+ {__NR_lookup_dcookie, "lookup_dcookie"},
+ {__NR_lremovexattr, "lremovexattr"},
+ {__NR_lseek, "lseek"},
+ {__NR_lsetxattr, "lsetxattr"},
+ {__NR_lstat, "lstat"},
+ {__NR_madvise, "madvise"},
+ {__NR_mbind, "mbind"},
+ {__NR_membarrier, "membarrier"},
+ {__NR_memfd_create, "memfd_create"},
+ {__NR_migrate_pages, "migrate_pages"},
+ {__NR_mincore, "mincore"},
+ {__NR_mkdir, "mkdir"},
+ {__NR_mkdirat, "mkdirat"},
+ {__NR_mknod, "mknod"},
+ {__NR_mknodat, "mknodat"},
+ {__NR_mlock, "mlock"},
+ {__NR_mlock2, "mlock2"},
+ {__NR_mlockall, "mlockall"},
+ {__NR_mmap, "mmap"},
+ {__NR_modify_ldt, "modify_ldt"},
+ {__NR_mount, "mount"},
+ {__NR_move_pages, "move_pages"},
+ {__NR_mprotect, "mprotect"},
+ {__NR_mq_getsetattr, "mq_getsetattr"},
+ {__NR_mq_notify, "mq_notify"},
+ {__NR_mq_open, "mq_open"},
+ {__NR_mq_timedreceive, "mq_timedreceive"},
+ {__NR_mq_timedsend, "mq_timedsend"},
+ {__NR_mq_unlink, "mq_unlink"},
+ {__NR_mremap, "mremap"},
+ {__NR_msgctl, "msgctl"},
+ {__NR_msgget, "msgget"},
+ {__NR_msgrcv, "msgrcv"},
+ {__NR_msgsnd, "msgsnd"},
+ {__NR_msync, "msync"},
+ {__NR_munlock, "munlock"},
+ {__NR_munlockall, "munlockall"},
+ {__NR_munmap, "munmap"},
+ {__NR_name_to_handle_at, "name_to_handle_at"},
+ {__NR_nanosleep, "nanosleep"},
+ {__NR_newfstatat, "newfstatat"},
+ {__NR_nfsservctl, "nfsservctl"},
+ {__NR_open, "open"},
+ {__NR_open_by_handle_at, "open_by_handle_at"},
+ {__NR_openat, "openat"},
+ {__NR_pause, "pause"},
+ {__NR_perf_event_open, "perf_event_open"},
+ {__NR_personality, "personality"},
+ {__NR_pipe, "pipe"},
+ {__NR_pipe2, "pipe2"},
+ {__NR_pivot_root, "pivot_root"},
+#ifdef __NR_pkey_alloc
+ {__NR_pkey_alloc, "pkey_alloc"},
+#endif
+#ifdef __NR_pkey_free
+ {__NR_pkey_free, "pkey_free"},
+#endif
+#ifdef __NR_pkey_mprotect
+ {__NR_pkey_mprotect, "pkey_mprotect"},
+#endif
+ {__NR_poll, "poll"},
+ {__NR_ppoll, "ppoll"},
+ {__NR_prctl, "prctl"},
+ {__NR_pread64, "pread64"},
+ {__NR_preadv, "preadv"},
+#ifdef __NR_preadv2
+ {__NR_preadv2, "preadv2"},
+#endif
+ {__NR_prlimit64, "prlimit64"},
+ {__NR_process_vm_readv, "process_vm_readv"},
+ {__NR_process_vm_writev, "process_vm_writev"},
+ {__NR_pselect6, "pselect6"},
+ {__NR_ptrace, "ptrace"},
+ {__NR_putpmsg, "putpmsg"},
+ {__NR_pwrite64, "pwrite64"},
+ {__NR_pwritev, "pwritev"},
+#ifdef __NR_pwritev2
+ {__NR_pwritev2, "pwritev2"},
+#endif
+ {__NR__sysctl, "_sysctl"},
+ {__NR_query_module, "query_module"},
+ {__NR_quotactl, "quotactl"},
+ {__NR_read, "read"},
+ {__NR_readahead, "readahead"},
+ {__NR_readlink, "readlink"},
+ {__NR_readlinkat, "readlinkat"},
+ {__NR_readv, "readv"},
+ {__NR_reboot, "reboot"},
+ {__NR_recvfrom, "recvfrom"},
+ {__NR_recvmmsg, "recvmmsg"},
+ {__NR_recvmsg, "recvmsg"},
+ {__NR_remap_file_pages, "remap_file_pages"},
+ {__NR_removexattr, "removexattr"},
+ {__NR_rename, "rename"},
+ {__NR_renameat, "renameat"},
+ {__NR_renameat2, "renameat2"},
+ {__NR_request_key, "request_key"},
+ {__NR_restart_syscall, "restart_syscall"},
+ {__NR_rmdir, "rmdir"},
+ {__NR_rt_sigaction, "rt_sigaction"},
+ {__NR_rt_sigpending, "rt_sigpending"},
+ {__NR_rt_sigprocmask, "rt_sigprocmask"},
+ {__NR_rt_sigqueueinfo, "rt_sigqueueinfo"},
+ {__NR_rt_sigreturn, "rt_sigreturn"},
+ {__NR_rt_sigsuspend, "rt_sigsuspend"},
+ {__NR_rt_sigtimedwait, "rt_sigtimedwait"},
+ {__NR_rt_tgsigqueueinfo, "rt_tgsigqueueinfo"},
+ {__NR_sched_get_priority_max, "sched_get_priority_max"},
+ {__NR_sched_get_priority_min, "sched_get_priority_min"},
+ {__NR_sched_getaffinity, "sched_getaffinity"},
+ {__NR_sched_getattr, "sched_getattr"},
+ {__NR_sched_getparam, "sched_getparam"},
+ {__NR_sched_getscheduler, "sched_getscheduler"},
+ {__NR_sched_rr_get_interval, "sched_rr_get_interval"},
+ {__NR_sched_setaffinity, "sched_setaffinity"},
+ {__NR_sched_setattr, "sched_setattr"},
+ {__NR_sched_setparam, "sched_setparam"},
+ {__NR_sched_setscheduler, "sched_setscheduler"},
+ {__NR_sched_yield, "sched_yield"},
+ {__NR_seccomp, "seccomp"},
+ {__NR_security, "security"},
+ {__NR_select, "select"},
+ {__NR_semctl, "semctl"},
+ {__NR_semget, "semget"},
+ {__NR_semop, "semop"},
+ {__NR_semtimedop, "semtimedop"},
+ {__NR_sendfile, "sendfile"},
+ {__NR_sendmmsg, "sendmmsg"},
+ {__NR_sendmsg, "sendmsg"},
+ {__NR_sendto, "sendto"},
+ {__NR_set_mempolicy, "set_mempolicy"},
+ {__NR_set_robust_list, "set_robust_list"},
+ {__NR_set_thread_area, "set_thread_area"},
+ {__NR_set_tid_address, "set_tid_address"},
+ {__NR_setdomainname, "setdomainname"},
+ {__NR_setfsgid, "setfsgid"},
+ {__NR_setfsuid, "setfsuid"},
+ {__NR_setgid, "setgid"},
+ {__NR_setgroups, "setgroups"},
+ {__NR_sethostname, "sethostname"},
+ {__NR_setitimer, "setitimer"},
+ {__NR_setns, "setns"},
+ {__NR_setpgid, "setpgid"},
+ {__NR_setpriority, "setpriority"},
+ {__NR_setregid, "setregid"},
+ {__NR_setresgid, "setresgid"},
+ {__NR_setresuid, "setresuid"},
+ {__NR_setreuid, "setreuid"},
+ {__NR_setrlimit, "setrlimit"},
+ {__NR_setsid, "setsid"},
+ {__NR_setsockopt, "setsockopt"},
+ {__NR_settimeofday, "settimeofday"},
+ {__NR_setuid, "setuid"},
+ {__NR_setxattr, "setxattr"},
+ {__NR_shmat, "shmat"},
+ {__NR_shmctl, "shmctl"},
+ {__NR_shmdt, "shmdt"},
+ {__NR_shmget, "shmget"},
+ {__NR_shutdown, "shutdown"},
+ {__NR_sigaltstack, "sigaltstack"},
+ {__NR_signalfd, "signalfd"},
+ {__NR_signalfd4, "signalfd4"},
+ {__NR_socket, "socket"},
+ {__NR_socketpair, "socketpair"},
+ {__NR_splice, "splice"},
+ {__NR_stat, "stat"},
+ {__NR_statfs, "statfs"},
+ {__NR_statx, "statx"},
+ {__NR_swapoff, "swapoff"},
+ {__NR_swapon, "swapon"},
+ {__NR_symlink, "symlink"},
+ {__NR_symlinkat, "symlinkat"},
+ {__NR_sync, "sync"},
+ {__NR_sync_file_range, "sync_file_range"},
+ {__NR_syncfs, "syncfs"},
+ {__NR_sysfs, "sysfs"},
+ {__NR_sysinfo, "sysinfo"},
+ {__NR_syslog, "syslog"},
+ {__NR_tee, "tee"},
+ {__NR_tgkill, "tgkill"},
+ {__NR_time, "time"},
+ {__NR_timer_create, "timer_create"},
+ {__NR_timer_delete, "timer_delete"},
+ {__NR_timer_getoverrun, "timer_getoverrun"},
+ {__NR_timer_gettime, "timer_gettime"},
+ {__NR_timer_settime, "timer_settime"},
+ {__NR_timerfd_create, "timerfd_create"},
+ {__NR_timerfd_gettime, "timerfd_gettime"},
+ {__NR_timerfd_settime, "timerfd_settime"},
+ {__NR_times, "times"},
+ {__NR_tkill, "tkill"},
+ {__NR_truncate, "truncate"},
+ {__NR_tuxcall, "tuxcall"},
+ {__NR_umask, "umask"},
+ {__NR_umount2, "umount2"},
+ {__NR_uname, "uname"},
+ {__NR_unlink, "unlink"},
+ {__NR_unlinkat, "unlinkat"},
+ {__NR_unshare, "unshare"},
+ {__NR_uselib, "uselib"},
+ {__NR_userfaultfd, "userfaultfd"},
+ {__NR_ustat, "ustat"},
+ {__NR_utime, "utime"},
+ {__NR_utimensat, "utimensat"},
+ {__NR_utimes, "utimes"},
+ {__NR_vfork, "vfork"},
+ {__NR_vhangup, "vhangup"},
+ {__NR_vmsplice, "vmsplice"},
+ {__NR_vserver, "vserver"},
+ {__NR_wait4, "wait4"},
+ {__NR_waitid, "waitid"},
+ {__NR_write, "write"},
+ {__NR_writev, "writev"},
+};
+
+std::string GetLinuxSyscallName(uint32_t syscall_number)
+{
+ const auto element = LINUX_SYSCALLS.find(syscall_number);
+ if (element != LINUX_SYSCALLS.end()) {
+ return element->second;
+ }
+ return "*unknown*";
+}
+
+// See Linux kernel developer Kees Cook's seccomp guide at <https://outflux.net/teach-seccomp/> for
+// an accessible introduction to using seccomp.
+//
+// This function largely follows <https://outflux.net/teach-seccomp/step-3/syscall-reporter.c> and
+// <https://outflux.net/teach-seccomp/step-3/seccomp-bpf.h>.
+//
+// Seccomp BPF resources:
+// * Seccomp BPF documentation: <https://www.kernel.org/doc/html/latest/userspace-api/seccomp_filter.html>
+// * seccomp(2) manual page: <https://www.kernel.org/doc/man-pages/online/pages/man2/seccomp.2.html>
+// * Seccomp BPF demo code samples: <https://git.kernel.org/pub/scm/linux/kernel/git/torvalds/linux.git/tree/samples/seccomp>
+void SyscallSandboxDebugSignalHandler(int, siginfo_t* signal_info, void* void_signal_context)
+{
+ // The si_code field inside the siginfo_t argument that is passed to a SA_SIGINFO signal handler
+ // is a value indicating why the signal was sent.
+ //
+ // The following value can be placed in si_code for a SIGSYS signal:
+ // * SYS_SECCOMP (since Linux 3.5): Triggered by a seccomp(2) filter rule.
+ constexpr int32_t SYS_SECCOMP_SI_CODE{1};
+ assert(signal_info->si_code == SYS_SECCOMP_SI_CODE);
+
+ // The ucontext_t structure contains signal context information that was saved on the user-space
+ // stack by the kernel.
+ const ucontext_t* signal_context = static_cast<ucontext_t*>(void_signal_context);
+ assert(signal_context != nullptr);
+
+ std::set_new_handler(std::terminate);
+ // Portability note: REG_RAX is Linux x86_64 specific.
+ const uint32_t syscall_number = static_cast<uint32_t>(signal_context->uc_mcontext.gregs[REG_RAX]);
+ const std::string syscall_name = GetLinuxSyscallName(syscall_number);
+ const std::string thread_name = !util::ThreadGetInternalName().empty() ? util::ThreadGetInternalName() : "*unnamed*";
+ const std::string error_message = strprintf("ERROR: The syscall \"%s\" (syscall number %d) is not allowed by the syscall sandbox in thread \"%s\". Please report.", syscall_name, syscall_number, thread_name);
+ tfm::format(std::cerr, "%s\n", error_message);
+ LogPrintf("%s\n", error_message);
+ std::terminate();
+}
+
+// This function largely follows install_syscall_reporter from Kees Cook's seccomp guide:
+// <https://outflux.net/teach-seccomp/step-3/syscall-reporter.c>
+bool SetupSyscallSandboxDebugHandler()
+{
+ struct sigaction action = {};
+ sigset_t mask;
+ sigemptyset(&mask);
+ sigaddset(&mask, SIGSYS);
+ action.sa_sigaction = &SyscallSandboxDebugSignalHandler;
+ action.sa_flags = SA_SIGINFO;
+ if (sigaction(SIGSYS, &action, nullptr) < 0) {
+ return false;
+ }
+ if (sigprocmask(SIG_UNBLOCK, &mask, nullptr)) {
+ return false;
+ }
+ return true;
+}
+
+enum class SyscallSandboxAction {
+ KILL_PROCESS,
+ INVOKE_SIGNAL_HANDLER,
+};
+
+class SeccompPolicyBuilder
+{
+ std::set<uint32_t> allowed_syscalls;
+
+public:
+ SeccompPolicyBuilder()
+ {
+ // Allowed by default.
+ AllowAddressSpaceAccess();
+ AllowEpoll();
+ AllowEventFd();
+ AllowFutex();
+ AllowGeneralIo();
+ AllowGetRandom();
+ AllowGetSimpleId();
+ AllowGetTime();
+ AllowGlobalProcessEnvironment();
+ AllowGlobalSystemStatus();
+ AllowKernelInternalApi();
+ AllowNetworkSocketInformation();
+ AllowOperationOnExistingFileDescriptor();
+ AllowPipe();
+ AllowPrctl();
+ AllowProcessStartOrDeath();
+ AllowScheduling();
+ AllowSignalHandling();
+ AllowSleep();
+ AllowUmask();
+ }
+
+ void AllowAddressSpaceAccess()
+ {
+ allowed_syscalls.insert(__NR_brk); // change data segment size
+ allowed_syscalls.insert(__NR_madvise); // give advice about use of memory
+ allowed_syscalls.insert(__NR_membarrier); // issue memory barriers on a set of threads
+ allowed_syscalls.insert(__NR_mincore); // check if virtual memory is in RAM
+ allowed_syscalls.insert(__NR_mlock); // lock memory
+ allowed_syscalls.insert(__NR_mmap); // map files or devices into memory
+ allowed_syscalls.insert(__NR_mprotect); // set protection on a region of memory
+ allowed_syscalls.insert(__NR_mremap); // remap a file in memory
+ allowed_syscalls.insert(__NR_munlock); // unlock memory
+ allowed_syscalls.insert(__NR_munmap); // unmap files or devices into memory
+ }
+
+ void AllowEpoll()
+ {
+ allowed_syscalls.insert(__NR_epoll_create1); // open an epoll file descriptor
+ allowed_syscalls.insert(__NR_epoll_ctl); // control interface for an epoll file descriptor
+ allowed_syscalls.insert(__NR_epoll_pwait); // wait for an I/O event on an epoll file descriptor
+ allowed_syscalls.insert(__NR_epoll_wait); // wait for an I/O event on an epoll file descriptor
+ }
+
+ void AllowEventFd()
+ {
+ allowed_syscalls.insert(__NR_eventfd2); // create a file descriptor for event notification
+ }
+
+ void AllowFileSystem()
+ {
+ allowed_syscalls.insert(__NR_access); // check user's permissions for a file
+ allowed_syscalls.insert(__NR_chdir); // change working directory
+ allowed_syscalls.insert(__NR_chmod); // change permissions of a file
+ allowed_syscalls.insert(__NR_copy_file_range); // copy a range of data from one file to another
+ allowed_syscalls.insert(__NR_fallocate); // manipulate file space
+ allowed_syscalls.insert(__NR_fchmod); // change permissions of a file
+ allowed_syscalls.insert(__NR_fchown); // change ownership of a file
+ allowed_syscalls.insert(__NR_fdatasync); // synchronize a file's in-core state with storage device
+ allowed_syscalls.insert(__NR_flock); // apply or remove an advisory lock on an open file
+ allowed_syscalls.insert(__NR_fstat); // get file status
+ allowed_syscalls.insert(__NR_fstatfs); // get file system status
+ allowed_syscalls.insert(__NR_fsync); // synchronize a file's in-core state with storage device
+ allowed_syscalls.insert(__NR_ftruncate); // truncate a file to a specified length
+ allowed_syscalls.insert(__NR_getcwd); // get current working directory
+ allowed_syscalls.insert(__NR_getdents); // get directory entries
+ allowed_syscalls.insert(__NR_getdents64); // get directory entries
+ allowed_syscalls.insert(__NR_lstat); // get file status
+ allowed_syscalls.insert(__NR_mkdir); // create a directory
+ allowed_syscalls.insert(__NR_newfstatat); // get file status
+ allowed_syscalls.insert(__NR_open); // open and possibly create a file
+ allowed_syscalls.insert(__NR_openat); // open and possibly create a file
+ allowed_syscalls.insert(__NR_readlink); // read value of a symbolic link
+ allowed_syscalls.insert(__NR_rename); // change the name or location of a file
+ allowed_syscalls.insert(__NR_rmdir); // delete a directory
+ allowed_syscalls.insert(__NR_sendfile); // transfer data between file descriptors
+ allowed_syscalls.insert(__NR_stat); // get file status
+ allowed_syscalls.insert(__NR_statfs); // get filesystem statistics
+ allowed_syscalls.insert(__NR_statx); // get file status (extended)
+ allowed_syscalls.insert(__NR_unlink); // delete a name and possibly the file it refers to
+ allowed_syscalls.insert(__NR_unlinkat); // delete relative to a directory file descriptor
+ }
+
+ void AllowFutex()
+ {
+ allowed_syscalls.insert(__NR_futex); // fast user-space locking
+ allowed_syscalls.insert(__NR_set_robust_list); // set list of robust futexes
+ }
+
+ void AllowGeneralIo()
+ {
+ allowed_syscalls.insert(__NR_ioctl); // control device
+ allowed_syscalls.insert(__NR_lseek); // reposition read/write file offset
+ allowed_syscalls.insert(__NR_poll); // wait for some event on a file descriptor
+ allowed_syscalls.insert(__NR_ppoll); // wait for some event on a file descriptor
+ allowed_syscalls.insert(__NR_pread64); // read from a file descriptor at a given offset
+ allowed_syscalls.insert(__NR_pwrite64); // write to a file descriptor at a given offset
+ allowed_syscalls.insert(__NR_read); // read from a file descriptor
+ allowed_syscalls.insert(__NR_readv); // read data into multiple buffers
+ allowed_syscalls.insert(__NR_recvfrom); // receive a message from a socket
+ allowed_syscalls.insert(__NR_recvmsg); // receive a message from a socket
+ allowed_syscalls.insert(__NR_select); // synchronous I/O multiplexing
+ allowed_syscalls.insert(__NR_sendmmsg); // send multiple messages on a socket
+ allowed_syscalls.insert(__NR_sendmsg); // send a message on a socket
+ allowed_syscalls.insert(__NR_sendto); // send a message on a socket
+ allowed_syscalls.insert(__NR_write); // write to a file descriptor
+ allowed_syscalls.insert(__NR_writev); // write data into multiple buffers
+ }
+
+ void AllowGetRandom()
+ {
+ allowed_syscalls.insert(__NR_getrandom); // obtain a series of random bytes
+ }
+
+ void AllowGetSimpleId()
+ {
+ allowed_syscalls.insert(__NR_getegid); // get group identity
+ allowed_syscalls.insert(__NR_geteuid); // get user identity
+ allowed_syscalls.insert(__NR_getgid); // get group identity
+ allowed_syscalls.insert(__NR_getpgid); // get process group
+ allowed_syscalls.insert(__NR_getpid); // get process identification
+ allowed_syscalls.insert(__NR_getppid); // get process identification
+ allowed_syscalls.insert(__NR_getresgid); // get real, effective and saved group IDs
+ allowed_syscalls.insert(__NR_getresuid); // get real, effective and saved user IDs
+ allowed_syscalls.insert(__NR_getsid); // get session ID
+ allowed_syscalls.insert(__NR_gettid); // get thread identification
+ allowed_syscalls.insert(__NR_getuid); // get user identity
+ }
+
+ void AllowGetTime()
+ {
+ allowed_syscalls.insert(__NR_clock_getres); // find the resolution (precision) of the specified clock
+ allowed_syscalls.insert(__NR_clock_gettime); // retrieve the time of the specified clock
+ allowed_syscalls.insert(__NR_gettimeofday); // get timeval
+ }
+
+ void AllowGlobalProcessEnvironment()
+ {
+ allowed_syscalls.insert(__NR_getrlimit); // get resource limits
+ allowed_syscalls.insert(__NR_getrusage); // get resource usage
+ allowed_syscalls.insert(__NR_prlimit64); // get/set resource limits
+ }
+
+ void AllowGlobalSystemStatus()
+ {
+ allowed_syscalls.insert(__NR_sysinfo); // return system information
+ allowed_syscalls.insert(__NR_uname); // get name and information about current kernel
+ }
+
+ void AllowKernelInternalApi()
+ {
+ allowed_syscalls.insert(__NR_restart_syscall); // restart a system call after interruption by a stop signal
+ }
+
+ void AllowNetwork()
+ {
+ allowed_syscalls.insert(__NR_accept); // accept a connection on a socket
+ allowed_syscalls.insert(__NR_accept4); // accept a connection on a socket
+ allowed_syscalls.insert(__NR_bind); // bind a name to a socket
+ allowed_syscalls.insert(__NR_connect); // initiate a connection on a socket
+ allowed_syscalls.insert(__NR_listen); // listen for connections on a socket
+ allowed_syscalls.insert(__NR_setsockopt); // set options on sockets
+ allowed_syscalls.insert(__NR_socket); // create an endpoint for communication
+ allowed_syscalls.insert(__NR_socketpair); // create a pair of connected sockets
+ }
+
+ void AllowNetworkSocketInformation()
+ {
+ allowed_syscalls.insert(__NR_getpeername); // get name of connected peer socket
+ allowed_syscalls.insert(__NR_getsockname); // get socket name
+ allowed_syscalls.insert(__NR_getsockopt); // get options on sockets
+ }
+
+ void AllowOperationOnExistingFileDescriptor()
+ {
+ allowed_syscalls.insert(__NR_close); // close a file descriptor
+ allowed_syscalls.insert(__NR_dup); // duplicate a file descriptor
+ allowed_syscalls.insert(__NR_dup2); // duplicate a file descriptor
+ allowed_syscalls.insert(__NR_fcntl); // manipulate file descriptor
+ allowed_syscalls.insert(__NR_shutdown); // shut down part of a full-duplex connection
+ }
+
+ void AllowPipe()
+ {
+ allowed_syscalls.insert(__NR_pipe); // create pipe
+ allowed_syscalls.insert(__NR_pipe2); // create pipe
+ }
+
+ void AllowPrctl()
+ {
+ allowed_syscalls.insert(__NR_arch_prctl); // set architecture-specific thread state
+ allowed_syscalls.insert(__NR_prctl); // operations on a process
+ }
+
+ void AllowProcessStartOrDeath()
+ {
+ allowed_syscalls.insert(__NR_clone); // create a child process
+ allowed_syscalls.insert(__NR_clone3); // create a child process
+ allowed_syscalls.insert(__NR_exit); // terminate the calling process
+ allowed_syscalls.insert(__NR_exit_group); // exit all threads in a process
+ allowed_syscalls.insert(__NR_fork); // create a child process
+ allowed_syscalls.insert(__NR_tgkill); // send a signal to a thread
+ allowed_syscalls.insert(__NR_wait4); // wait for process to change state, BSD style
+ }
+
+ void AllowScheduling()
+ {
+ allowed_syscalls.insert(__NR_sched_getaffinity); // set a thread's CPU affinity mask
+ allowed_syscalls.insert(__NR_sched_getparam); // get scheduling parameters
+ allowed_syscalls.insert(__NR_sched_getscheduler); // get scheduling policy/parameters
+ allowed_syscalls.insert(__NR_sched_setscheduler); // set scheduling policy/parameters
+ allowed_syscalls.insert(__NR_sched_yield); // yield the processor
+ }
+
+ void AllowSignalHandling()
+ {
+ allowed_syscalls.insert(__NR_rt_sigaction); // examine and change a signal action
+ allowed_syscalls.insert(__NR_rt_sigprocmask); // examine and change blocked signals
+ allowed_syscalls.insert(__NR_rt_sigreturn); // return from signal handler and cleanup stack frame
+ allowed_syscalls.insert(__NR_sigaltstack); // set and/or get signal stack context
+ }
+
+ void AllowSleep()
+ {
+ allowed_syscalls.insert(__NR_clock_nanosleep); // high-resolution sleep with specifiable clock
+ allowed_syscalls.insert(__NR_nanosleep); // high-resolution sleep
+ }
+
+ void AllowUmask()
+ {
+ allowed_syscalls.insert(__NR_umask); // set file mode creation mask
+ }
+
+ // See Linux kernel developer Kees Cook's seccomp guide at <https://outflux.net/teach-seccomp/>
+ // for an accessible introduction to using seccomp.
+ //
+ // This function largely follows <https://outflux.net/teach-seccomp/step-3/seccomp-bpf.h>.
+ std::vector<sock_filter> BuildFilter(SyscallSandboxAction default_action)
+ {
+ std::vector<sock_filter> bpf_policy;
+ // See VALIDATE_ARCHITECTURE in seccomp-bpf.h referenced above.
+ bpf_policy.push_back(BPF_STMT(BPF_LD + BPF_W + BPF_ABS, offsetof(struct seccomp_data, arch)));
+ // Portability note: AUDIT_ARCH_X86_64 is Linux x86_64 specific.
+ bpf_policy.push_back(BPF_JUMP(BPF_JMP + BPF_JEQ + BPF_K, AUDIT_ARCH_X86_64, 1, 0));
+ bpf_policy.push_back(BPF_STMT(BPF_RET + BPF_K, SECCOMP_RET_KILL_PROCESS));
+ // See EXAMINE_SYSCALL in seccomp-bpf.h referenced above.
+ bpf_policy.push_back(BPF_STMT(BPF_LD + BPF_W + BPF_ABS, offsetof(struct seccomp_data, nr)));
+ for (const uint32_t allowed_syscall : allowed_syscalls) {
+ // See ALLOW_SYSCALL in seccomp-bpf.h referenced above.
+ bpf_policy.push_back(BPF_JUMP(BPF_JMP + BPF_JEQ + BPF_K, allowed_syscall, 0, 1));
+ bpf_policy.push_back(BPF_STMT(BPF_RET + BPF_K, SECCOMP_RET_ALLOW));
+ }
+ switch (default_action) {
+ case SyscallSandboxAction::KILL_PROCESS:
+ // Disallow syscall and kill the process.
+ //
+ // See KILL_PROCESS in seccomp-bpf.h referenced above.
+ //
+ // Note that we're using SECCOMP_RET_KILL_PROCESS (kill the process) instead
+ // of SECCOMP_RET_KILL_THREAD (kill the thread). The SECCOMP_RET_KILL_PROCESS
+ // action was introduced in Linux 4.14.
+ //
+ // SECCOMP_RET_KILL_PROCESS: Results in the entire process exiting immediately without
+ // executing the system call.
+ //
+ // SECCOMP_RET_KILL_PROCESS documentation:
+ // <https://www.kernel.org/doc/html/latest/userspace-api/seccomp_filter.html>
+ bpf_policy.push_back(BPF_STMT(BPF_RET + BPF_K, SECCOMP_RET_KILL_PROCESS));
+ break;
+ case SyscallSandboxAction::INVOKE_SIGNAL_HANDLER:
+ // Disallow syscall and force a SIGSYS to trigger syscall debug reporter.
+ //
+ // SECCOMP_RET_TRAP: Results in the kernel sending a SIGSYS signal to the triggering
+ // task without executing the system call.
+ //
+ // SECCOMP_RET_TRAP documentation:
+ // <https://www.kernel.org/doc/html/latest/userspace-api/seccomp_filter.html>
+ bpf_policy.push_back(BPF_STMT(BPF_RET + BPF_K, SECCOMP_RET_TRAP));
+ break;
+ }
+ return bpf_policy;
+ }
+};
+} // namespace
+
+bool SetupSyscallSandbox(bool log_syscall_violation_before_terminating)
+{
+ assert(!g_syscall_sandbox_enabled && "SetupSyscallSandbox(...) should only be called once.");
+ g_syscall_sandbox_enabled = true;
+ g_syscall_sandbox_log_violation_before_terminating = log_syscall_violation_before_terminating;
+ if (log_syscall_violation_before_terminating) {
+ if (!SetupSyscallSandboxDebugHandler()) {
+ return false;
+ }
+ }
+ SetSyscallSandboxPolicy(SyscallSandboxPolicy::INITIALIZATION);
+ return true;
+}
+
+void TestDisallowedSandboxCall()
+{
+ // The getgroups syscall is assumed NOT to be allowed by the syscall sandbox policy.
+ std::array<gid_t, 1> groups;
+ [[maybe_unused]] int32_t ignored = getgroups(groups.size(), groups.data());
+}
+#endif // defined(USE_SYSCALL_SANDBOX)
+
+void SetSyscallSandboxPolicy(SyscallSandboxPolicy syscall_policy)
+{
+#if defined(USE_SYSCALL_SANDBOX)
+ if (!g_syscall_sandbox_enabled) {
+ return;
+ }
+ SeccompPolicyBuilder seccomp_policy_builder;
+ switch (syscall_policy) {
+ case SyscallSandboxPolicy::INITIALIZATION: // Thread: main thread (state: init)
+ // SyscallSandboxPolicy::INITIALIZATION is the first policy loaded.
+ //
+ // Subsequently loaded policies can reduce the abilities further, but
+ // abilities can never be regained.
+ //
+ // SyscallSandboxPolicy::INITIALIZATION must thus be a superset of all
+ // other policies.
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::INITIALIZATION_DNS_SEED: // Thread: dnsseed
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::INITIALIZATION_LOAD_BLOCKS: // Thread: loadblk
+ seccomp_policy_builder.AllowFileSystem();
+ break;
+ case SyscallSandboxPolicy::INITIALIZATION_MAP_PORT: // Thread: mapport
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::MESSAGE_HANDLER: // Thread: msghand
+ seccomp_policy_builder.AllowFileSystem();
+ break;
+ case SyscallSandboxPolicy::NET: // Thread: net
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::NET_ADD_CONNECTION: // Thread: addcon
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::NET_HTTP_SERVER: // Thread: http
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::NET_HTTP_SERVER_WORKER: // Thread: httpworker.<N>
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::NET_OPEN_CONNECTION: // Thread: opencon
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::SCHEDULER: // Thread: scheduler
+ seccomp_policy_builder.AllowFileSystem();
+ break;
+ case SyscallSandboxPolicy::TOR_CONTROL: // Thread: torcontrol
+ seccomp_policy_builder.AllowFileSystem();
+ seccomp_policy_builder.AllowNetwork();
+ break;
+ case SyscallSandboxPolicy::TX_INDEX: // Thread: txindex
+ seccomp_policy_builder.AllowFileSystem();
+ break;
+ case SyscallSandboxPolicy::VALIDATION_SCRIPT_CHECK: // Thread: scriptch.<N>
+ break;
+ case SyscallSandboxPolicy::SHUTOFF: // Thread: main thread (state: shutoff)
+ seccomp_policy_builder.AllowFileSystem();
+ break;
+ }
+
+ const SyscallSandboxAction default_action = g_syscall_sandbox_log_violation_before_terminating ? SyscallSandboxAction::INVOKE_SIGNAL_HANDLER : SyscallSandboxAction::KILL_PROCESS;
+ std::vector<sock_filter> filter = seccomp_policy_builder.BuildFilter(default_action);
+ const sock_fprog prog = {
+ .len = static_cast<uint16_t>(filter.size()),
+ .filter = filter.data(),
+ };
+ // Do not allow abilities to be regained after being dropped.
+ //
+ // PR_SET_NO_NEW_PRIVS documentation: <https://www.kernel.org/doc/html/latest/userspace-api/no_new_privs.html>
+ if (prctl(PR_SET_NO_NEW_PRIVS, 1, 0, 0, 0) != 0) {
+ throw std::runtime_error("Syscall sandbox enforcement failed: prctl(PR_SET_NO_NEW_PRIVS)");
+ }
+ // Install seccomp-bpf syscall filter.
+ //
+ // PR_SET_SECCOMP documentation: <https://www.kernel.org/doc/html/latest/userspace-api/seccomp_filter.html>
+ if (prctl(PR_SET_SECCOMP, SECCOMP_MODE_FILTER, &prog) != 0) {
+ throw std::runtime_error("Syscall sandbox enforcement failed: prctl(PR_SET_SECCOMP)");
+ }
+
+ const std::string thread_name = !util::ThreadGetInternalName().empty() ? util::ThreadGetInternalName() : "*unnamed*";
+ LogPrint(BCLog::UTIL, "Syscall filter installed for thread \"%s\"\n", thread_name);
+#endif // defined(USE_SYSCALL_SANDBOX)
+}
diff --git a/src/util/syscall_sandbox.h b/src/util/syscall_sandbox.h
new file mode 100644
index 0000000000..f7a1cbdb55
--- /dev/null
+++ b/src/util/syscall_sandbox.h
@@ -0,0 +1,57 @@
+// Copyright (c) 2020-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_SYSCALL_SANDBOX_H
+#define BITCOIN_UTIL_SYSCALL_SANDBOX_H
+
+enum class SyscallSandboxPolicy {
+ // 1. Initialization
+ INITIALIZATION,
+ INITIALIZATION_DNS_SEED,
+ INITIALIZATION_LOAD_BLOCKS,
+ INITIALIZATION_MAP_PORT,
+
+ // 2. Steady state (non-initialization, non-shutdown)
+ MESSAGE_HANDLER,
+ NET,
+ NET_ADD_CONNECTION,
+ NET_HTTP_SERVER,
+ NET_HTTP_SERVER_WORKER,
+ NET_OPEN_CONNECTION,
+ SCHEDULER,
+ TOR_CONTROL,
+ TX_INDEX,
+ VALIDATION_SCRIPT_CHECK,
+
+ // 3. Shutdown
+ SHUTOFF,
+};
+
+//! Force the current thread (and threads created from the current thread) into a restricted-service
+//! operating mode where only a subset of all syscalls are available.
+//!
+//! Subsequent calls to this function can reduce the abilities further, but abilities can never be
+//! regained.
+//!
+//! This function is a no-op unless SetupSyscallSandbox(...) has been called.
+//!
+//! SetupSyscallSandbox(...) is called during bitcoind initialization if Bitcoin Core was compiled
+//! with seccomp-bpf support (--with-seccomp) *and* the parameter -sandbox=<mode> was passed to
+//! bitcoind.
+//!
+//! This experimental feature is available under Linux x86_64 only.
+void SetSyscallSandboxPolicy(SyscallSandboxPolicy syscall_policy);
+
+#if defined(USE_SYSCALL_SANDBOX)
+//! Setup and enable the experimental syscall sandbox for the running process.
+//!
+//! SetSyscallSandboxPolicy(SyscallSandboxPolicy::INITIALIZATION) is called as part of
+//! SetupSyscallSandbox(...).
+[[nodiscard]] bool SetupSyscallSandbox(bool log_syscall_violation_before_terminating);
+
+//! Invoke a disallowed syscall. Use for testing purposes.
+void TestDisallowedSandboxCall();
+#endif // defined(USE_SYSCALL_SANDBOX)
+
+#endif // BITCOIN_UTIL_SYSCALL_SANDBOX_H
diff --git a/src/util/system.cpp b/src/util/system.cpp
index 71453eed81..69811a751b 100644
--- a/src/util/system.cpp
+++ b/src/util/system.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,7 @@
#endif // ENABLE_EXTERNAL_SIGNER
#include <chainparamsbase.h>
+#include <fs.h>
#include <sync.h>
#include <util/check.h>
#include <util/getuniquepath.h>
@@ -66,9 +67,16 @@
#endif
#include <boost/algorithm/string/replace.hpp>
+#include <univalue.h>
+
+#include <fstream>
+#include <map>
+#include <memory>
+#include <optional>
+#include <string>
+#include <system_error>
#include <thread>
#include <typeinfo>
-#include <univalue.h>
// Application startup time (used for uptime calculation)
const int64_t nStartupTime = GetTime();
@@ -93,20 +101,20 @@ bool LockDirectory(const fs::path& directory, const std::string lockfile_name, b
fs::path pathLockFile = directory / lockfile_name;
// If a lock for this directory already exists in the map, don't try to re-lock it
- if (dir_locks.count(pathLockFile.string())) {
+ if (dir_locks.count(fs::PathToString(pathLockFile))) {
return true;
}
// Create empty lock file if it doesn't exist.
FILE* file = fsbridge::fopen(pathLockFile, "a");
if (file) fclose(file);
- auto lock = MakeUnique<fsbridge::FileLock>(pathLockFile);
+ auto lock = std::make_unique<fsbridge::FileLock>(pathLockFile);
if (!lock->TryLock()) {
- return error("Error while attempting to lock directory %s: %s", directory.string(), lock->GetReason());
+ return error("Error while attempting to lock directory %s: %s", fs::PathToString(directory), lock->GetReason());
}
if (!probe_only) {
// Lock successful and we're not just probing, put it into the map
- dir_locks.emplace(pathLockFile.string(), std::move(lock));
+ dir_locks.emplace(fs::PathToString(pathLockFile), std::move(lock));
}
return true;
}
@@ -114,7 +122,7 @@ bool LockDirectory(const fs::path& directory, const std::string lockfile_name, b
void UnlockDirectory(const fs::path& directory, const std::string& lockfile_name)
{
LOCK(cs_dir_locks);
- dir_locks.erase((directory / lockfile_name).string());
+ dir_locks.erase(fs::PathToString(directory / lockfile_name));
}
void ReleaseDirectoryLocks()
@@ -145,7 +153,7 @@ bool CheckDiskSpace(const fs::path& dir, uint64_t additional_bytes)
}
std::streampos GetFileSize(const char* path, std::streamsize max) {
- std::ifstream file(path, std::ios::binary);
+ std::ifstream file{path, std::ios::binary};
file.ignore(max);
return file.gcount();
}
@@ -153,16 +161,14 @@ std::streampos GetFileSize(const char* path, std::streamsize max) {
/**
* Interpret a string argument as a boolean.
*
- * The definition of atoi() requires that non-numeric string values like "foo",
- * return 0. This means that if a user unintentionally supplies a non-integer
- * argument here, the return value is always false. This means that -foo=false
- * does what the user probably expects, but -foo=true is well defined but does
- * not do what they probably expected.
+ * The definition of LocaleIndependentAtoi<int>() requires that non-numeric string values
+ * like "foo", return 0. This means that if a user unintentionally supplies a
+ * non-integer argument here, the return value is always false. This means that
+ * -foo=false does what the user probably expects, but -foo=true is well defined
+ * but does not do what they probably expected.
*
- * The return value of atoi() is undefined when given input not representable as
- * an int. On most systems this means string value between "-2147483648" and
- * "2147483647" are well defined (this method will return true). Setting
- * -txindex=2147483648 on most systems, however, is probably undefined.
+ * The return value of LocaleIndependentAtoi<int>(...) is zero when given input not
+ * representable as an int.
*
* For a more extensive discussion of this topic (and a wide range of opinions
* on the Right Way to change this code), see PR12713.
@@ -171,7 +177,7 @@ static bool InterpretBool(const std::string& strValue)
{
if (strValue.empty())
return true;
- return (atoi(strValue) != 0);
+ return (LocaleIndependentAtoi<int>(strValue) != 0);
}
static std::string SettingName(const std::string& arg)
@@ -179,60 +185,65 @@ static std::string SettingName(const std::string& arg)
return arg.size() > 0 && arg[0] == '-' ? arg.substr(1) : arg;
}
+struct KeyInfo {
+ std::string name;
+ std::string section;
+ bool negated{false};
+};
+
/**
- * Interpret -nofoo as if the user supplied -foo=0.
- *
- * This method also tracks when the -no form was supplied, and if so,
- * checks whether there was a double-negative (-nofoo=0 -> -foo=1).
+ * Parse "name", "section.name", "noname", "section.noname" settings keys.
*
- * If there was not a double negative, it removes the "no" from the key
- * and returns false.
- *
- * If there was a double negative, it removes "no" from the key, and
- * returns true.
- *
- * If there was no "no", it returns the string value untouched.
- *
- * Where an option was negated can be later checked using the
+ * @note Where an option was negated can be later checked using the
* IsArgNegated() method. One use case for this is to have a way to disable
* options that are not normally boolean (e.g. using -nodebuglogfile to request
* that debug log output is not sent to any file at all).
*/
-
-static util::SettingsValue InterpretOption(std::string& section, std::string& key, const std::string& value)
+KeyInfo InterpretKey(std::string key)
{
+ KeyInfo result;
// Split section name from key name for keys like "testnet.foo" or "regtest.bar"
size_t option_index = key.find('.');
if (option_index != std::string::npos) {
- section = key.substr(0, option_index);
+ result.section = key.substr(0, option_index);
key.erase(0, option_index + 1);
}
if (key.substr(0, 2) == "no") {
key.erase(0, 2);
- // Double negatives like -nofoo=0 are supported (but discouraged)
- if (!InterpretBool(value)) {
- LogPrintf("Warning: parsed potentially confusing double-negative -%s=%s\n", key, value);
- return true;
- }
- return false;
+ result.negated = true;
}
- return value;
+ result.name = key;
+ return result;
}
/**
- * Check settings value validity according to flags.
+ * Interpret settings value based on registered flags.
*
- * TODO: Add more meaningful error checks here in the future
- * See "here's how the flags are meant to behave" in
- * https://github.com/bitcoin/bitcoin/pull/16097#issuecomment-514627823
+ * @param[in] key key information to know if key was negated
+ * @param[in] value string value of setting to be parsed
+ * @param[in] flags ArgsManager registered argument flags
+ * @param[out] error Error description if settings value is not valid
+ *
+ * @return parsed settings value if it is valid, otherwise nullopt accompanied
+ * by a descriptive error string
*/
-static bool CheckValid(const std::string& key, const util::SettingsValue& val, unsigned int flags, std::string& error)
-{
- if (val.isBool() && !(flags & ArgsManager::ALLOW_BOOL)) {
- error = strprintf("Negating of -%s is meaningless and therefore forbidden", key);
+static std::optional<util::SettingsValue> InterpretValue(const KeyInfo& key, const std::string& value,
+ unsigned int flags, std::string& error)
+{
+ // Return negated settings as false values.
+ if (key.negated) {
+ if (flags & ArgsManager::DISALLOW_NEGATION) {
+ error = strprintf("Negating of -%s is meaningless and therefore forbidden", key.name);
+ return std::nullopt;
+ }
+ // Double negatives like -nofoo=0 are supported (but discouraged)
+ if (!InterpretBool(value)) {
+ LogPrintf("Warning: parsed potentially confusing double-negative -%s=%s\n", key.name, value);
+ return true;
+ }
return false;
}
- return true;
+ return value;
}
// Define default constructor and destructor that are not inline, so code instantiating this class doesn't need to
@@ -315,7 +326,7 @@ bool ArgsManager::ParseParameters(int argc, const char* const argv[], std::strin
if (key[0] != '-') {
if (!m_accept_any_command && m_command.empty()) {
// The first non-dash arg is a registered command
- Optional<unsigned int> flags = GetArgFlags(key);
+ std::optional<unsigned int> flags = GetArgFlags(key);
if (!flags || !(*flags & ArgsManager::COMMAND)) {
error = strprintf("Invalid command '%s'", argv[i]);
return false;
@@ -335,35 +346,36 @@ bool ArgsManager::ParseParameters(int argc, const char* const argv[], std::strin
// Transform -foo to foo
key.erase(0, 1);
- std::string section;
- util::SettingsValue value = InterpretOption(section, key, val);
- Optional<unsigned int> flags = GetArgFlags('-' + key);
+ KeyInfo keyinfo = InterpretKey(key);
+ std::optional<unsigned int> flags = GetArgFlags('-' + keyinfo.name);
// Unknown command line options and command line options with dot
- // characters (which are returned from InterpretOption with nonempty
+ // characters (which are returned from InterpretKey with nonempty
// section strings) are not valid.
- if (!flags || !section.empty()) {
+ if (!flags || !keyinfo.section.empty()) {
error = strprintf("Invalid parameter %s", argv[i]);
return false;
}
- if (!CheckValid(key, value, *flags, error)) return false;
+ std::optional<util::SettingsValue> value = InterpretValue(keyinfo, val, *flags, error);
+ if (!value) return false;
- m_settings.command_line_options[key].push_back(value);
+ m_settings.command_line_options[keyinfo.name].push_back(*value);
}
- // we do not allow -includeconf from command line
- bool success = true;
+ // we do not allow -includeconf from command line, only -noincludeconf
if (auto* includes = util::FindKey(m_settings.command_line_options, "includeconf")) {
- for (const auto& include : util::SettingsSpan(*includes)) {
- error += "-includeconf cannot be used from commandline; -includeconf=" + include.get_str() + "\n";
- success = false;
+ const util::SettingsSpan values{*includes};
+ // Range may be empty if -noincludeconf was passed
+ if (!values.empty()) {
+ error = "-includeconf cannot be used from commandline; -includeconf=" + values.begin()->write();
+ return false; // pick first value as example
}
}
- return success;
+ return true;
}
-Optional<unsigned int> ArgsManager::GetArgFlags(const std::string& name) const
+std::optional<unsigned int> ArgsManager::GetArgFlags(const std::string& name) const
{
LOCK(cs_args);
for (const auto& arg_map : m_available_args) {
@@ -372,7 +384,82 @@ Optional<unsigned int> ArgsManager::GetArgFlags(const std::string& name) const
return search->second.m_flags;
}
}
- return nullopt;
+ return std::nullopt;
+}
+
+fs::path ArgsManager::GetPathArg(std::string pathlike_arg) const
+{
+ auto result = fs::PathFromString(GetArg(pathlike_arg, "")).lexically_normal();
+ // Remove trailing slash, if present.
+ return result.has_filename() ? result : result.parent_path();
+}
+
+const fs::path& ArgsManager::GetBlocksDirPath() const
+{
+ LOCK(cs_args);
+ fs::path& path = m_cached_blocks_path;
+
+ // Cache the path to avoid calling fs::create_directories on every call of
+ // this function
+ if (!path.empty()) return path;
+
+ if (IsArgSet("-blocksdir")) {
+ path = fs::absolute(GetPathArg("-blocksdir"));
+ if (!fs::is_directory(path)) {
+ path = "";
+ return path;
+ }
+ } else {
+ path = GetDataDirBase();
+ }
+
+ path /= fs::PathFromString(BaseParams().DataDir());
+ path /= "blocks";
+ fs::create_directories(path);
+ return path;
+}
+
+const fs::path& ArgsManager::GetDataDir(bool net_specific) const
+{
+ LOCK(cs_args);
+ fs::path& path = net_specific ? m_cached_network_datadir_path : m_cached_datadir_path;
+
+ // Cache the path to avoid calling fs::create_directories on every call of
+ // this function
+ if (!path.empty()) return path;
+
+ const fs::path datadir{GetPathArg("-datadir")};
+ if (!datadir.empty()) {
+ path = fs::absolute(datadir);
+ if (!fs::is_directory(path)) {
+ path = "";
+ return path;
+ }
+ } else {
+ path = GetDefaultDataDir();
+ }
+
+ if (!fs::exists(path)) {
+ fs::create_directories(path / "wallets");
+ }
+
+ if (net_specific && !BaseParams().DataDir().empty()) {
+ path /= fs::PathFromString(BaseParams().DataDir());
+ if (!fs::exists(path)) {
+ fs::create_directories(path / "wallets");
+ }
+ }
+
+ return path;
+}
+
+void ArgsManager::ClearPathCache()
+{
+ LOCK(cs_args);
+
+ m_cached_datadir_path = fs::path();
+ m_cached_network_datadir_path = fs::path();
+ m_cached_blocks_path = fs::path();
}
std::optional<const ArgsManager::Command> ArgsManager::GetCommand() const
@@ -417,11 +504,11 @@ bool ArgsManager::InitSettings(std::string& error)
std::vector<std::string> errors;
if (!ReadSettingsFile(&errors)) {
- error = strprintf("Failed loading settings file:\n- %s\n", Join(errors, "\n- "));
+ error = strprintf("Failed loading settings file:\n%s\n", MakeUnorderedList(errors));
return false;
}
if (!WriteSettingsFile(&errors)) {
- error = strprintf("Failed saving settings file:\n- %s\n", Join(errors, "\n- "));
+ error = strprintf("Failed saving settings file:\n%s\n", MakeUnorderedList(errors));
return false;
}
return true;
@@ -434,7 +521,7 @@ bool ArgsManager::GetSettingsPath(fs::path* filepath, bool temp) const
}
if (filepath) {
std::string settings = GetArg("-settings", BITCOIN_SETTINGS_FILENAME);
- *filepath = fsbridge::AbsPathJoin(GetDataDir(/* net_specific= */ true), temp ? settings + ".tmp" : settings);
+ *filepath = fsbridge::AbsPathJoin(GetDataDirNet(), fs::PathFromString(temp ? settings + ".tmp" : settings));
}
return true;
}
@@ -465,10 +552,8 @@ bool ArgsManager::ReadSettingsFile(std::vector<std::string>* errors)
return false;
}
for (const auto& setting : m_settings.rw_settings) {
- std::string section;
- std::string key = setting.first;
- (void)InterpretOption(section, key, /* value */ {}); // Split setting key into section and argname
- if (!GetArgFlags('-' + key)) {
+ KeyInfo key = InterpretKey(setting.first); // Split setting key into section and argname
+ if (!GetArgFlags('-' + key.name)) {
LogPrintf("Ignoring unknown rw_settings value %s\n", setting.first);
}
}
@@ -489,7 +574,7 @@ bool ArgsManager::WriteSettingsFile(std::vector<std::string>* errors) const
return false;
}
if (!RenameOver(path_tmp, path)) {
- SaveErrors({strprintf("Failed renaming settings file %s to %s\n", path_tmp.string(), path.string())}, errors);
+ SaveErrors({strprintf("Failed renaming settings file %s to %s\n", fs::PathToString(path_tmp), fs::PathToString(path))}, errors);
return false;
}
return true;
@@ -506,10 +591,10 @@ std::string ArgsManager::GetArg(const std::string& strArg, const std::string& st
return value.isNull() ? strDefault : value.isFalse() ? "0" : value.isTrue() ? "1" : value.get_str();
}
-int64_t ArgsManager::GetArg(const std::string& strArg, int64_t nDefault) const
+int64_t ArgsManager::GetIntArg(const std::string& strArg, int64_t nDefault) const
{
const util::SettingsValue value = GetSetting(strArg);
- return value.isNull() ? nDefault : value.isFalse() ? 0 : value.isTrue() ? 1 : value.isNum() ? value.get_int64() : atoi64(value.get_str());
+ return value.isNull() ? nDefault : value.isFalse() ? 0 : value.isTrue() ? 1 : value.isNum() ? value.get_int64() : LocaleIndependentAtoi<int64_t>(value.get_str());
}
bool ArgsManager::GetBoolArg(const std::string& strArg, bool fDefault) const
@@ -540,14 +625,14 @@ void ArgsManager::ForceSetArg(const std::string& strArg, const std::string& strV
m_settings.forced_settings[SettingName(strArg)] = strValue;
}
-void ArgsManager::AddCommand(const std::string& cmd, const std::string& help, const OptionsCategory& cat)
+void ArgsManager::AddCommand(const std::string& cmd, const std::string& help)
{
Assert(cmd.find('=') == std::string::npos);
Assert(cmd.at(0) != '-');
LOCK(cs_args);
m_accept_any_command = false; // latch to false
- std::map<std::string, Arg>& arg_map = m_available_args[cat];
+ std::map<std::string, Arg>& arg_map = m_available_args[OptionsCategory::COMMANDS];
auto ret = arg_map.emplace(cmd, Arg{"", help, ArgsManager::COMMAND});
Assert(ret.second); // Fail on duplicate commands
}
@@ -723,99 +808,15 @@ fs::path GetDefaultDataDir()
#endif
}
-namespace {
-fs::path StripRedundantLastElementsOfPath(const fs::path& path)
-{
- auto result = path;
- while (result.filename().string() == ".") {
- result = result.parent_path();
- }
-
- assert(fs::equivalent(result, path));
- return result;
-}
-} // namespace
-
-static fs::path g_blocks_path_cache_net_specific;
-static fs::path pathCached;
-static fs::path pathCachedNetSpecific;
-static RecursiveMutex csPathCached;
-
-const fs::path &GetBlocksDir()
-{
- LOCK(csPathCached);
- fs::path &path = g_blocks_path_cache_net_specific;
-
- // Cache the path to avoid calling fs::create_directories on every call of
- // this function
- if (!path.empty()) return path;
-
- if (gArgs.IsArgSet("-blocksdir")) {
- path = fs::system_complete(gArgs.GetArg("-blocksdir", ""));
- if (!fs::is_directory(path)) {
- path = "";
- return path;
- }
- } else {
- path = GetDataDir(false);
- }
-
- path /= BaseParams().DataDir();
- path /= "blocks";
- fs::create_directories(path);
- path = StripRedundantLastElementsOfPath(path);
- return path;
-}
-
-const fs::path &GetDataDir(bool fNetSpecific)
-{
- LOCK(csPathCached);
- fs::path &path = fNetSpecific ? pathCachedNetSpecific : pathCached;
-
- // Cache the path to avoid calling fs::create_directories on every call of
- // this function
- if (!path.empty()) return path;
-
- std::string datadir = gArgs.GetArg("-datadir", "");
- if (!datadir.empty()) {
- path = fs::system_complete(datadir);
- if (!fs::is_directory(path)) {
- path = "";
- return path;
- }
- } else {
- path = GetDefaultDataDir();
- }
- if (fNetSpecific)
- path /= BaseParams().DataDir();
-
- if (fs::create_directories(path)) {
- // This is the first run, create wallets subdirectory too
- fs::create_directories(path / "wallets");
- }
-
- path = StripRedundantLastElementsOfPath(path);
- return path;
-}
-
bool CheckDataDirOption()
{
- std::string datadir = gArgs.GetArg("-datadir", "");
- return datadir.empty() || fs::is_directory(fs::system_complete(datadir));
-}
-
-void ClearDatadirCache()
-{
- LOCK(csPathCached);
-
- pathCached = fs::path();
- pathCachedNetSpecific = fs::path();
- g_blocks_path_cache_net_specific = fs::path();
+ const fs::path datadir{gArgs.GetPathArg("-datadir")};
+ return datadir.empty() || fs::is_directory(fs::absolute(datadir));
}
fs::path GetConfigFile(const std::string& confPath)
{
- return AbsPathForConfigVal(fs::path(confPath), false);
+ return AbsPathForConfigVal(fs::PathFromString(confPath), false);
}
static bool GetConfigOptions(std::istream& stream, const std::string& filepath, std::string& error, std::vector<std::pair<std::string, std::string>>& options, std::list<SectionInfo>& sections)
@@ -871,15 +872,14 @@ bool ArgsManager::ReadConfigStream(std::istream& stream, const std::string& file
return false;
}
for (const std::pair<std::string, std::string>& option : options) {
- std::string section;
- std::string key = option.first;
- util::SettingsValue value = InterpretOption(section, key, option.second);
- Optional<unsigned int> flags = GetArgFlags('-' + key);
+ KeyInfo key = InterpretKey(option.first);
+ std::optional<unsigned int> flags = GetArgFlags('-' + key.name);
if (flags) {
- if (!CheckValid(key, value, *flags, error)) {
+ std::optional<util::SettingsValue> value = InterpretValue(key, option.second, *flags, error);
+ if (!value) {
return false;
}
- m_settings.ro_config[section][key].push_back(value);
+ m_settings.ro_config[key.section][key.name].push_back(*value);
} else {
if (ignore_invalid_keys) {
LogPrintf("Ignoring unknown configuration value %s\n", option.first);
@@ -901,8 +901,13 @@ bool ArgsManager::ReadConfigFiles(std::string& error, bool ignore_invalid_keys)
}
const std::string confPath = GetArg("-conf", BITCOIN_CONF_FILENAME);
- fsbridge::ifstream stream(GetConfigFile(confPath));
+ std::ifstream stream{GetConfigFile(confPath)};
+ // not ok to have a config file specified that cannot be opened
+ if (IsArgSet("-conf") && !stream.good()) {
+ error = strprintf("specified config file \"%s\" could not be opened.", confPath);
+ return false;
+ }
// ok to not have a config file
if (stream.good()) {
if (!ReadConfigStream(stream, confPath, error, ignore_invalid_keys)) {
@@ -943,7 +948,7 @@ bool ArgsManager::ReadConfigFiles(std::string& error, bool ignore_invalid_keys)
const size_t default_includes = add_includes({});
for (const std::string& conf_file_name : conf_file_names) {
- fsbridge::ifstream conf_file_stream(GetConfigFile(conf_file_name));
+ std::ifstream conf_file_stream{GetConfigFile(conf_file_name)};
if (conf_file_stream.good()) {
if (!ReadConfigStream(conf_file_stream, conf_file_name, error, ignore_invalid_keys)) {
return false;
@@ -971,7 +976,7 @@ bool ArgsManager::ReadConfigFiles(std::string& error, bool ignore_invalid_keys)
}
// If datadir is changed in .conf file:
- ClearDatadirCache();
+ gArgs.ClearPathCache();
if (!CheckDataDirOption()) {
error = strprintf("specified data directory \"%s\" does not exist.", GetArg("-datadir", ""));
return false;
@@ -1034,7 +1039,7 @@ void ArgsManager::logArgsPrefix(
std::string section_str = section.empty() ? "" : "[" + section + "] ";
for (const auto& arg : args) {
for (const auto& value : arg.second) {
- Optional<unsigned int> flags = GetArgFlags('-' + arg.first);
+ std::optional<unsigned int> flags = GetArgFlags('-' + arg.first);
if (flags) {
std::string value_str = (*flags & SENSITIVE) ? "****" : value.write();
LogPrintf("%s %s%s=%s\n", prefix, section_str, arg.first, value_str);
@@ -1057,17 +1062,24 @@ void ArgsManager::LogArgs() const
bool RenameOver(fs::path src, fs::path dest)
{
-#ifdef WIN32
+#ifdef __MINGW64__
+ // This is a workaround for a bug in libstdc++ which
+ // implements std::filesystem::rename with _wrename function.
+ // This bug has been fixed in upstream:
+ // - GCC 10.3: 8dd1c1085587c9f8a21bb5e588dfe1e8cdbba79e
+ // - GCC 11.1: 1dfd95f0a0ca1d9e6cbc00e6cbfd1fa20a98f312
+ // For more details see the commits mentioned above.
return MoveFileExW(src.wstring().c_str(), dest.wstring().c_str(),
MOVEFILE_REPLACE_EXISTING) != 0;
#else
- int rc = std::rename(src.string().c_str(), dest.string().c_str());
- return (rc == 0);
-#endif /* WIN32 */
+ std::error_code error;
+ fs::rename(src, dest, error);
+ return !error;
+#endif
}
/**
- * Ignores exceptions thrown by Boost's create_directories if the requested directory exists.
+ * Ignores exceptions thrown by create_directories if the requested directory exists.
* Specifically handles case where path p exists, but it wasn't possible for the user to
* write to the parent directory.
*/
@@ -1247,9 +1259,9 @@ void runCommand(const std::string& strCommand)
}
#endif
-#ifdef ENABLE_EXTERNAL_SIGNER
UniValue RunCommandParseJSON(const std::string& str_command, const std::string& str_std_in)
{
+#ifdef ENABLE_EXTERNAL_SIGNER
namespace bp = boost::process;
UniValue result_json;
@@ -1281,8 +1293,10 @@ UniValue RunCommandParseJSON(const std::string& str_command, const std::string&
if (!result_json.read(result)) throw std::runtime_error("Unable to parse JSON: " + result);
return result_json;
-}
+#else
+ throw std::runtime_error("Compiled without external signing support (required for external signing).");
#endif // ENABLE_EXTERNAL_SIGNER
+}
void SetupEnvironment()
{
@@ -1298,7 +1312,7 @@ void SetupEnvironment()
#endif
// On most POSIX systems (e.g. Linux, but not BSD) the environment's locale
// may be invalid, in which case the "C.UTF-8" locale is used as fallback.
-#if !defined(WIN32) && !defined(MAC_OSX) && !defined(__FreeBSD__) && !defined(__OpenBSD__)
+#if !defined(WIN32) && !defined(MAC_OSX) && !defined(__FreeBSD__) && !defined(__OpenBSD__) && !defined(__NetBSD__)
try {
std::locale(""); // Raises a runtime error if current locale is invalid
} catch (const std::runtime_error&) {
@@ -1309,16 +1323,6 @@ void SetupEnvironment()
SetConsoleCP(CP_UTF8);
SetConsoleOutputCP(CP_UTF8);
#endif
- // The path locale is lazy initialized and to avoid deinitialization errors
- // in multithreading environments, it is set explicitly by the main thread.
- // A dummy locale is used to extract the internal default locale, used by
- // fs::path, which is then used to explicitly imbue the path.
- std::locale loc = fs::path::imbue(std::locale::classic());
-#ifndef WIN32
- fs::path::imbue(loc);
-#else
- fs::path::imbue(std::locale(loc, new std::codecvt_utf8_utf16<wchar_t>()));
-#endif
}
bool SetupNetworking()
@@ -1361,7 +1365,7 @@ fs::path AbsPathForConfigVal(const fs::path& path, bool net_specific)
if (path.is_absolute()) {
return path;
}
- return fsbridge::AbsPathJoin(GetDataDir(net_specific), path);
+ return fsbridge::AbsPathJoin(net_specific ? gArgs.GetDataDirNet() : gArgs.GetDataDirBase(), path);
}
void ScheduleBatchPriority()
diff --git a/src/util/system.h b/src/util/system.h
index de47b93b6e..a72ba3f3ed 100644
--- a/src/util/system.h
+++ b/src/util/system.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,16 +19,15 @@
#include <compat/assumptions.h>
#include <fs.h>
#include <logging.h>
-#include <optional.h>
#include <sync.h>
#include <tinyformat.h>
-#include <util/memory.h>
#include <util/settings.h>
-#include <util/threadnames.h>
#include <util/time.h>
+#include <any>
#include <exception>
#include <map>
+#include <optional>
#include <set>
#include <stdint.h>
#include <string>
@@ -70,7 +69,13 @@ void DirectoryCommit(const fs::path &dirname);
bool TruncateFile(FILE *file, unsigned int length);
int RaiseFileDescriptorLimit(int nMinFD);
void AllocateFileRange(FILE *file, unsigned int offset, unsigned int length);
+
+/**
+ * Rename src to dest.
+ * @return true if the rename was successful.
+ */
[[nodiscard]] bool RenameOver(fs::path src, fs::path dest);
+
bool LockDirectory(const fs::path& directory, const std::string lockfile_name, bool probe_only=false);
void UnlockDirectory(const fs::path& directory, const std::string& lockfile_name);
bool DirIsWritable(const fs::path& directory);
@@ -91,13 +96,8 @@ void ReleaseDirectoryLocks();
bool TryCreateDirectories(const fs::path& p);
fs::path GetDefaultDataDir();
-// The blocks directory is always net specific.
-const fs::path &GetBlocksDir();
-const fs::path &GetDataDir(bool fNetSpecific = true);
// Return true if -datadir option points to a valid directory or is not specified.
bool CheckDataDirOption();
-/** Tests only */
-void ClearDatadirCache();
fs::path GetConfigFile(const std::string& confPath);
#ifdef WIN32
fs::path GetSpecialFolderPath(int nFolder, bool fCreate = true);
@@ -108,7 +108,6 @@ std::string ShellEscape(const std::string& arg);
#if HAVE_SYSTEM
void runCommand(const std::string& strCommand);
#endif
-#ifdef ENABLE_EXTERNAL_SIGNER
/**
* Execute a command which returns JSON, and parse the result.
*
@@ -117,14 +116,13 @@ void runCommand(const std::string& strCommand);
* @return parsed JSON
*/
UniValue RunCommandParseJSON(const std::string& str_command, const std::string& str_std_in="");
-#endif // ENABLE_EXTERNAL_SIGNER
/**
* Most paths passed as configuration arguments are treated as relative to
* the datadir if they are not absolute.
*
* @param path The path to be conditionally prefixed with datadir.
- * @param net_specific Forwarded to GetDataDir().
+ * @param net_specific Use network specific datadir variant
* @return The normalized path.
*/
fs::path AbsPathForConfigVal(const fs::path& path, bool net_specific = true);
@@ -166,12 +164,18 @@ struct SectionInfo
class ArgsManager
{
public:
+ /**
+ * Flags controlling how config and command line arguments are validated and
+ * interpreted.
+ */
enum Flags : uint32_t {
- // Boolean options can accept negation syntax -noOPTION or -noOPTION=1
- ALLOW_BOOL = 0x01,
- ALLOW_INT = 0x02,
- ALLOW_STRING = 0x04,
- ALLOW_ANY = ALLOW_BOOL | ALLOW_INT | ALLOW_STRING,
+ ALLOW_ANY = 0x01, //!< disable validation
+ // ALLOW_BOOL = 0x02, //!< unimplemented, draft implementation in #16545
+ // ALLOW_INT = 0x04, //!< unimplemented, draft implementation in #16545
+ // ALLOW_STRING = 0x08, //!< unimplemented, draft implementation in #16545
+ // ALLOW_LIST = 0x10, //!< unimplemented, draft implementation in #16545
+ DISALLOW_NEGATION = 0x20, //!< disallow -nofoo syntax
+
DEBUG_ONLY = 0x100,
/* Some options would cause cross-contamination if values for
* mainnet were used while running on regtest/testnet (or vice-versa).
@@ -200,6 +204,9 @@ protected:
std::map<OptionsCategory, std::map<std::string, Arg>> m_available_args GUARDED_BY(cs_args);
bool m_accept_any_command GUARDED_BY(cs_args){true};
std::list<SectionInfo> m_config_sections GUARDED_BY(cs_args);
+ mutable fs::path m_cached_blocks_path GUARDED_BY(cs_args);
+ mutable fs::path m_cached_datadir_path GUARDED_BY(cs_args);
+ mutable fs::path m_cached_network_datadir_path GUARDED_BY(cs_args);
[[nodiscard]] bool ReadConfigStream(std::istream& stream, const std::string& filepath, std::string& error, bool ignore_invalid_keys = false);
@@ -210,6 +217,7 @@ protected:
*/
bool UseDefaultSection(const std::string& arg) const EXCLUSIVE_LOCKS_REQUIRED(cs_args);
+ public:
/**
* Get setting value.
*
@@ -224,7 +232,6 @@ protected:
*/
std::vector<util::SettingsValue> GetSettingsList(const std::string& arg) const;
-public:
ArgsManager();
~ArgsManager();
@@ -264,6 +271,44 @@ public:
std::optional<const Command> GetCommand() const;
/**
+ * Get a normalized path from a specified pathlike argument
+ *
+ * It is guaranteed that the returned path has no trailing slashes.
+ *
+ * @param pathlike_arg Pathlike argument to get a path from (e.g., "-datadir", "-blocksdir" or "-walletdir")
+ * @return Normalized path which is get from a specified pathlike argument
+ */
+ fs::path GetPathArg(std::string pathlike_arg) const;
+
+ /**
+ * Get blocks directory path
+ *
+ * @return Blocks path which is network specific
+ */
+ const fs::path& GetBlocksDirPath() const;
+
+ /**
+ * Get data directory path
+ *
+ * @return Absolute path on success, otherwise an empty path when a non-directory path would be returned
+ * @post Returned directory path is created unless it is empty
+ */
+ const fs::path& GetDataDirBase() const { return GetDataDir(false); }
+
+ /**
+ * Get data directory path with appended network identifier
+ *
+ * @return Absolute path on success, otherwise an empty path when a non-directory path would be returned
+ * @post Returned directory path is created unless it is empty
+ */
+ const fs::path& GetDataDirNet() const { return GetDataDir(true); }
+
+ /**
+ * Clear cached directory paths
+ */
+ void ClearPathCache();
+
+ /**
* Return a vector of strings of the given argument
*
* @param strArg Argument to get (e.g. "-foo")
@@ -304,7 +349,7 @@ public:
* @param nDefault (e.g. 1)
* @return command-line argument (0 if invalid number) or default value
*/
- int64_t GetArg(const std::string& strArg, int64_t nDefault) const;
+ int64_t GetIntArg(const std::string& strArg, int64_t nDefault) const;
/**
* Return boolean argument or default value
@@ -351,7 +396,7 @@ public:
/**
* Add subcommand
*/
- void AddCommand(const std::string& cmd, const std::string& help, const OptionsCategory& cat);
+ void AddCommand(const std::string& cmd, const std::string& help);
/**
* Add many hidden arguments
@@ -376,7 +421,7 @@ public:
* Return Flags for known arg.
* Return nullopt for unknown arg.
*/
- Optional<unsigned int> GetArgFlags(const std::string& name) const;
+ std::optional<unsigned int> GetArgFlags(const std::string& name) const;
/**
* Read and update settings file with saved settings. This needs to be
@@ -418,6 +463,15 @@ public:
void LogArgs() const;
private:
+ /**
+ * Get data directory path
+ *
+ * @param net_specific Append network identifier to the returned path
+ * @return Absolute path on success, otherwise an empty path when a non-directory path would be returned
+ * @post Returned directory path is created unless it is empty
+ */
+ const fs::path& GetDataDir(bool net_specific) const;
+
// Helper function for LogArgs().
void logArgsPrefix(
const std::string& prefix,
@@ -458,28 +512,6 @@ std::string HelpMessageOpt(const std::string& option, const std::string& message
*/
int GetNumCores();
-/**
- * .. and a wrapper that just calls func once
- */
-template <typename Callable> void TraceThread(const char* name, Callable func)
-{
- util::ThreadRename(name);
- try
- {
- LogPrintf("%s thread start\n", name);
- func();
- LogPrintf("%s thread exit\n", name);
- }
- catch (const std::exception& e) {
- PrintExceptionContinue(&e, name);
- throw;
- }
- catch (...) {
- PrintExceptionContinue(nullptr, name);
- throw;
- }
-}
-
std::string CopyrightHolders(const std::string& strPrefix);
/**
@@ -501,6 +533,18 @@ inline void insert(std::set<TsetT>& dst, const Tsrc& src) {
dst.insert(src.begin(), src.end());
}
+/**
+ * Helper function to access the contained object of a std::any instance.
+ * Returns a pointer to the object if passed instance has a value and the type
+ * matches, nullptr otherwise.
+ */
+template<typename T>
+T* AnyPtr(const std::any& any) noexcept
+{
+ T* const* ptr = std::any_cast<T*>(&any);
+ return ptr ? *ptr : nullptr;
+}
+
#ifdef WIN32
class WinCmdLineArgs
{
diff --git a/src/util/thread.cpp b/src/util/thread.cpp
new file mode 100644
index 0000000000..14be668685
--- /dev/null
+++ b/src/util/thread.cpp
@@ -0,0 +1,27 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <util/thread.h>
+
+#include <logging.h>
+#include <util/system.h>
+#include <util/threadnames.h>
+
+#include <exception>
+
+void util::TraceThread(const char* thread_name, std::function<void()> thread_func)
+{
+ util::ThreadRename(thread_name);
+ try {
+ LogPrintf("%s thread start\n", thread_name);
+ thread_func();
+ LogPrintf("%s thread exit\n", thread_name);
+ } catch (const std::exception& e) {
+ PrintExceptionContinue(&e, thread_name);
+ throw;
+ } catch (...) {
+ PrintExceptionContinue(nullptr, thread_name);
+ throw;
+ }
+}
diff --git a/src/util/thread.h b/src/util/thread.h
new file mode 100644
index 0000000000..ca2eccc0c3
--- /dev/null
+++ b/src/util/thread.h
@@ -0,0 +1,18 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_THREAD_H
+#define BITCOIN_UTIL_THREAD_H
+
+#include <functional>
+
+namespace util {
+/**
+ * A wrapper for do-something-once thread functions.
+ */
+void TraceThread(const char* thread_name, std::function<void()> thread_func);
+
+} // namespace util
+
+#endif // BITCOIN_UTIL_THREAD_H
diff --git a/src/util/time.cpp b/src/util/time.cpp
index e6f0986a39..f7712f0dc8 100644
--- a/src/util/time.cpp
+++ b/src/util/time.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -124,7 +124,7 @@ int64_t GetTimeMicros()
return int64_t{GetSystemTime<std::chrono::microseconds>().count()};
}
-int64_t GetSystemTimeInSeconds()
+int64_t GetTimeSeconds()
{
return int64_t{GetSystemTime<std::chrono::seconds>().count()};
}
diff --git a/src/util/time.h b/src/util/time.h
index 7ebcaaa339..9d92b23725 100644
--- a/src/util/time.h
+++ b/src/util/time.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -39,7 +39,7 @@ inline double CountSecondsDouble(SecondsDouble t) { return t.count(); }
/**
* DEPRECATED
- * Use either GetSystemTimeInSeconds (not mockable) or GetTime<T> (mockable)
+ * Use either GetTimeSeconds (not mockable) or GetTime<T> (mockable)
*/
int64_t GetTime();
@@ -48,7 +48,7 @@ int64_t GetTimeMillis();
/** Returns the system time (not mockable) */
int64_t GetTimeMicros();
/** Returns the system time (not mockable) */
-int64_t GetSystemTimeInSeconds(); // Like GetTime(), but not mockable
+int64_t GetTimeSeconds(); // Like GetTime(), but not mockable
/**
* DEPRECATED
diff --git a/src/util/tokenpipe.cpp b/src/util/tokenpipe.cpp
new file mode 100644
index 0000000000..4c091cd2e6
--- /dev/null
+++ b/src/util/tokenpipe.cpp
@@ -0,0 +1,109 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <util/tokenpipe.h>
+
+#include <config/bitcoin-config.h>
+
+#ifndef WIN32
+
+#include <errno.h>
+#include <fcntl.h>
+#include <optional>
+#include <unistd.h>
+
+TokenPipeEnd TokenPipe::TakeReadEnd()
+{
+ TokenPipeEnd res(m_fds[0]);
+ m_fds[0] = -1;
+ return res;
+}
+
+TokenPipeEnd TokenPipe::TakeWriteEnd()
+{
+ TokenPipeEnd res(m_fds[1]);
+ m_fds[1] = -1;
+ return res;
+}
+
+TokenPipeEnd::TokenPipeEnd(int fd) : m_fd(fd)
+{
+}
+
+TokenPipeEnd::~TokenPipeEnd()
+{
+ Close();
+}
+
+int TokenPipeEnd::TokenWrite(uint8_t token)
+{
+ while (true) {
+ ssize_t result = write(m_fd, &token, 1);
+ if (result < 0) {
+ // Failure. It's possible that the write was interrupted by a signal,
+ // in that case retry.
+ if (errno != EINTR) {
+ return TS_ERR;
+ }
+ } else if (result == 0) {
+ return TS_EOS;
+ } else { // ==1
+ return 0;
+ }
+ }
+}
+
+int TokenPipeEnd::TokenRead()
+{
+ uint8_t token;
+ while (true) {
+ ssize_t result = read(m_fd, &token, 1);
+ if (result < 0) {
+ // Failure. Check if the read was interrupted by a signal,
+ // in that case retry.
+ if (errno != EINTR) {
+ return TS_ERR;
+ }
+ } else if (result == 0) {
+ return TS_EOS;
+ } else { // ==1
+ return token;
+ }
+ }
+ return token;
+}
+
+void TokenPipeEnd::Close()
+{
+ if (m_fd != -1) close(m_fd);
+ m_fd = -1;
+}
+
+std::optional<TokenPipe> TokenPipe::Make()
+{
+ int fds[2] = {-1, -1};
+#if HAVE_O_CLOEXEC && HAVE_DECL_PIPE2
+ if (pipe2(fds, O_CLOEXEC) != 0) {
+ return std::nullopt;
+ }
+#else
+ if (pipe(fds) != 0) {
+ return std::nullopt;
+ }
+#endif
+ return TokenPipe(fds);
+}
+
+TokenPipe::~TokenPipe()
+{
+ Close();
+}
+
+void TokenPipe::Close()
+{
+ if (m_fds[0] != -1) close(m_fds[0]);
+ if (m_fds[1] != -1) close(m_fds[1]);
+ m_fds[0] = m_fds[1] = -1;
+}
+
+#endif // WIN32
diff --git a/src/util/tokenpipe.h b/src/util/tokenpipe.h
new file mode 100644
index 0000000000..f56be93a38
--- /dev/null
+++ b/src/util/tokenpipe.h
@@ -0,0 +1,127 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_TOKENPIPE_H
+#define BITCOIN_UTIL_TOKENPIPE_H
+
+#ifndef WIN32
+
+#include <cstdint>
+#include <optional>
+
+/** One end of a token pipe. */
+class TokenPipeEnd
+{
+private:
+ int m_fd = -1;
+
+public:
+ TokenPipeEnd(int fd = -1);
+ ~TokenPipeEnd();
+
+ /** Return value constants for TokenWrite and TokenRead. */
+ enum Status {
+ TS_ERR = -1, //!< I/O error
+ TS_EOS = -2, //!< Unexpected end of stream
+ };
+
+ /** Write token to endpoint.
+ *
+ * @returns 0 If successful.
+ * <0 if error:
+ * TS_ERR If an error happened.
+ * TS_EOS If end of stream happened.
+ */
+ int TokenWrite(uint8_t token);
+
+ /** Read token from endpoint.
+ *
+ * @returns >=0 Token value, if successful.
+ * <0 if error:
+ * TS_ERR If an error happened.
+ * TS_EOS If end of stream happened.
+ */
+ int TokenRead();
+
+ /** Explicit close function.
+ */
+ void Close();
+
+ /** Return whether endpoint is open.
+ */
+ bool IsOpen() { return m_fd != -1; }
+
+ // Move-only class.
+ TokenPipeEnd(TokenPipeEnd&& other)
+ {
+ m_fd = other.m_fd;
+ other.m_fd = -1;
+ }
+ TokenPipeEnd& operator=(TokenPipeEnd&& other)
+ {
+ Close();
+ m_fd = other.m_fd;
+ other.m_fd = -1;
+ return *this;
+ }
+ TokenPipeEnd(const TokenPipeEnd&) = delete;
+ TokenPipeEnd& operator=(const TokenPipeEnd&) = delete;
+};
+
+/** An interprocess or interthread pipe for sending tokens (one-byte values)
+ * over.
+ */
+class TokenPipe
+{
+private:
+ int m_fds[2] = {-1, -1};
+
+ TokenPipe(int fds[2]) : m_fds{fds[0], fds[1]} {}
+
+public:
+ ~TokenPipe();
+
+ /** Create a new pipe.
+ * @returns The created TokenPipe, or an empty std::nullopt in case of error.
+ */
+ static std::optional<TokenPipe> Make();
+
+ /** Take the read end of this pipe. This can only be called once,
+ * as the object will be moved out.
+ */
+ TokenPipeEnd TakeReadEnd();
+
+ /** Take the write end of this pipe. This should only be called once,
+ * as the object will be moved out.
+ */
+ TokenPipeEnd TakeWriteEnd();
+
+ /** Close and end of the pipe that hasn't been moved out.
+ */
+ void Close();
+
+ // Move-only class.
+ TokenPipe(TokenPipe&& other)
+ {
+ for (int i = 0; i < 2; ++i) {
+ m_fds[i] = other.m_fds[i];
+ other.m_fds[i] = -1;
+ }
+ }
+ TokenPipe& operator=(TokenPipe&& other)
+ {
+ Close();
+ for (int i = 0; i < 2; ++i) {
+ m_fds[i] = other.m_fds[i];
+ other.m_fds[i] = -1;
+ }
+ return *this;
+ }
+ TokenPipe(const TokenPipe&) = delete;
+ TokenPipe& operator=(const TokenPipe&) = delete;
+};
+
+#endif // WIN32
+
+#endif // BITCOIN_UTIL_TOKENPIPE_H
diff --git a/src/util/trace.h b/src/util/trace.h
index 9c92cb10e7..7a63f39c83 100644
--- a/src/util/trace.h
+++ b/src/util/trace.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -42,4 +42,4 @@
#endif
-#endif /* BITCOIN_UTIL_TRACE_H */
+#endif // BITCOIN_UTIL_TRACE_H
diff --git a/src/util/translation.h b/src/util/translation.h
index 99899ef3c2..aee601d9c1 100644
--- a/src/util/translation.h
+++ b/src/util/translation.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -28,6 +28,12 @@ struct bilingual_str {
{
return original.empty();
}
+
+ void clear()
+ {
+ original.clear();
+ translated.clear();
+ }
};
inline bilingual_str operator+(bilingual_str lhs, const bilingual_str& rhs)
diff --git a/src/util/types.h b/src/util/types.h
new file mode 100644
index 0000000000..0047b00026
--- /dev/null
+++ b/src/util/types.h
@@ -0,0 +1,11 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_UTIL_TYPES_H
+#define BITCOIN_UTIL_TYPES_H
+
+template <class>
+inline constexpr bool ALWAYS_FALSE{false};
+
+#endif // BITCOIN_UTIL_TYPES_H
diff --git a/src/validation.cpp b/src/validation.cpp
index e7439a2a1a..5b52638fc5 100644
--- a/src/validation.cpp
+++ b/src/validation.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,22 +9,25 @@
#include <chain.h>
#include <chainparams.h>
#include <checkqueue.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
#include <consensus/merkle.h>
#include <consensus/tx_check.h>
#include <consensus/tx_verify.h>
#include <consensus/validation.h>
#include <cuckoocache.h>
+#include <deploymentstatus.h>
#include <flatfile.h>
#include <hash.h>
#include <index/blockfilterindex.h>
-#include <index/txindex.h>
#include <logging.h>
#include <logging/timer.h>
+#include <node/blockstorage.h>
#include <node/coinstats.h>
#include <node/ui_interface.h>
-#include <optional.h>
+#include <node/utxo_snapshot.h>
#include <policy/policy.h>
+#include <policy/rbf.h>
#include <policy/settings.h>
#include <pow.h>
#include <primitives/block.h>
@@ -42,18 +45,42 @@
#include <uint256.h>
#include <undo.h>
#include <util/check.h> // For NDEBUG compile time check
+#include <util/hasher.h>
#include <util/moneystr.h>
#include <util/rbf.h>
#include <util/strencodings.h>
#include <util/system.h>
+#include <util/trace.h>
#include <util/translation.h>
#include <validationinterface.h>
#include <warnings.h>
+#include <algorithm>
+#include <numeric>
+#include <optional>
#include <string>
#include <boost/algorithm/string/replace.hpp>
+using node::BLOCKFILE_CHUNK_SIZE;
+using node::BlockManager;
+using node::BlockMap;
+using node::CBlockIndexWorkComparator;
+using node::CCoinsStats;
+using node::CoinStatsHashType;
+using node::GetUTXOStats;
+using node::OpenBlockFile;
+using node::ReadBlockFromDisk;
+using node::SnapshotMetadata;
+using node::UNDOFILE_CHUNK_SIZE;
+using node::UndoReadFromDisk;
+using node::UnlinkPrunedFiles;
+using node::fHavePruned;
+using node::fImporting;
+using node::fPruneMode;
+using node::fReindex;
+using node::nPruneTarget;
+
#define MICRO 0.000001
#define MILLI 0.001
@@ -65,10 +92,6 @@
static const unsigned int EXTRA_DESCENDANT_TX_SIZE_LIMIT = 10000;
/** Maximum kilobytes for transactions to store for processing during reorg */
static const unsigned int MAX_DISCONNECTED_TX_POOL_SIZE = 20000;
-/** The pre-allocation chunk size for blk?????.dat files (since 0.8) */
-static const unsigned int BLOCKFILE_CHUNK_SIZE = 0x1000000; // 16 MiB
-/** The pre-allocation chunk size for rev?????.dat files (since 0.8) */
-static const unsigned int UNDOFILE_CHUNK_SIZE = 0x100000; // 1 MiB
/** Time to wait between writing blocks/block index to disk. */
static constexpr std::chrono::hours DATABASE_WRITE_INTERVAL{1};
/** Time to wait between flushing chainstate to disk. */
@@ -102,21 +125,6 @@ bool CBlockIndexWorkComparator::operator()(const CBlockIndex *pa, const CBlockIn
return false;
}
-ChainstateManager g_chainman;
-
-CChainState& ChainstateActive()
-{
- LOCK(::cs_main);
- assert(g_chainman.m_active_chainstate);
- return *g_chainman.m_active_chainstate;
-}
-
-CChain& ChainActive()
-{
- LOCK(::cs_main);
- return ::ChainstateActive().m_chain;
-}
-
/**
* Mutex to guard access to validation specific variables, such as reading
* or changing the chainstate.
@@ -134,14 +142,9 @@ Mutex g_best_block_mutex;
std::condition_variable g_best_block_cv;
uint256 g_best_block;
bool g_parallel_script_checks{false};
-std::atomic_bool fImporting(false);
-std::atomic_bool fReindex(false);
-bool fHavePruned = false;
-bool fPruneMode = false;
bool fRequireStandard = true;
bool fCheckBlockIndex = false;
bool fCheckpointsEnabled = DEFAULT_CHECKPOINTS_ENABLED;
-uint64_t nPruneTarget = 0;
int64_t nMaxTipAge = DEFAULT_MAX_TIP_AGE;
uint256 hashAssumeValid;
@@ -149,70 +152,36 @@ arith_uint256 nMinimumChainWork;
CFeeRate minRelayTxFee = CFeeRate(DEFAULT_MIN_RELAY_TX_FEE);
-// Internal stuff
-namespace {
- CBlockIndex* pindexBestInvalid = nullptr;
-
- RecursiveMutex cs_LastBlockFile;
- std::vector<CBlockFileInfo> vinfoBlockFile;
- int nLastBlockFile = 0;
- /** Global flag to indicate we should check to see if there are
- * block/undo files that should be deleted. Set on startup
- * or if we allocate more file space when we're in prune mode
- */
- bool fCheckForPruning = false;
-
- /** Dirty block index entries. */
- std::set<CBlockIndex*> setDirtyBlockIndex;
-
- /** Dirty block file entries. */
- std::set<int> setDirtyFileInfo;
-} // anon namespace
-
-CBlockIndex* BlockManager::LookupBlockIndex(const uint256& hash)
-{
- AssertLockHeld(cs_main);
- assert(std::addressof(g_chainman.BlockIndex()) == std::addressof(m_block_index));
- BlockMap::const_iterator it = m_block_index.find(hash);
- return it == m_block_index.end() ? nullptr : it->second;
-}
-
-CBlockIndex* BlockManager::FindForkInGlobalIndex(const CChain& chain, const CBlockLocator& locator)
+CBlockIndex* CChainState::FindForkInGlobalIndex(const CBlockLocator& locator) const
{
AssertLockHeld(cs_main);
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(*this));
// Find the latest block common to locator and chain - we expect that
// locator.vHave is sorted descending by height.
for (const uint256& hash : locator.vHave) {
- CBlockIndex* pindex = LookupBlockIndex(hash);
+ CBlockIndex* pindex{m_blockman.LookupBlockIndex(hash)};
if (pindex) {
- if (chain.Contains(pindex))
+ if (m_chain.Contains(pindex)) {
return pindex;
- if (pindex->GetAncestor(chain.Height()) == chain.Tip()) {
- return chain.Tip();
+ }
+ if (pindex->GetAncestor(m_chain.Height()) == m_chain.Tip()) {
+ return m_chain.Tip();
}
}
}
- return chain.Genesis();
+ return m_chain.Genesis();
}
-std::unique_ptr<CBlockTreeDB> pblocktree;
-
bool CheckInputScripts(const CTransaction& tx, TxValidationState& state,
const CCoinsViewCache& inputs, unsigned int flags, bool cacheSigStore,
bool cacheFullScriptStore, PrecomputedTransactionData& txdata,
std::vector<CScriptCheck>* pvChecks = nullptr)
EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-static FILE* OpenUndoFile(const FlatFilePos &pos, bool fReadOnly = false);
-static FlatFileSeq BlockFileSeq();
-static FlatFileSeq UndoFileSeq();
bool CheckFinalTx(const CBlockIndex* active_chain_tip, const CTransaction &tx, int flags)
{
AssertLockHeld(cs_main);
assert(active_chain_tip); // TODO: Make active_chain_tip a reference
- assert(std::addressof(*::ChainActive().Tip()) == std::addressof(*active_chain_tip));
// By convention a negative value for flags indicates that the
// current network-enforced consensus rules should be used. In
@@ -224,7 +193,7 @@ bool CheckFinalTx(const CBlockIndex* active_chain_tip, const CTransaction &tx, i
// CheckFinalTx() uses active_chain_tip.Height()+1 to evaluate
// nLockTime because when IsFinalTx() is called within
- // CBlock::AcceptBlock(), the height of the block *being*
+ // AcceptBlock(), the height of the block *being*
// evaluated is what is used. Thus if we want to know if a
// transaction can be part of the *next* block, we need to call
// IsFinalTx() with one more than active_chain_tip.Height().
@@ -242,37 +211,13 @@ bool CheckFinalTx(const CBlockIndex* active_chain_tip, const CTransaction &tx, i
return IsFinalTx(tx, nBlockHeight, nBlockTime);
}
-bool TestLockPointValidity(CChain& active_chain, const LockPoints* lp)
-{
- AssertLockHeld(cs_main);
- assert(lp);
- // If there are relative lock times then the maxInputBlock will be set
- // If there are no relative lock times, the LockPoints don't depend on the chain
- if (lp->maxInputBlock) {
- // Check whether ::ChainActive() is an extension of the block at which the LockPoints
- // calculation was valid. If not LockPoints are no longer valid
- assert(std::addressof(::ChainActive()) == std::addressof(active_chain));
- if (!active_chain.Contains(lp->maxInputBlock)) {
- return false;
- }
- }
-
- // LockPoints still valid
- return true;
-}
-
-bool CheckSequenceLocks(CChainState& active_chainstate,
- const CTxMemPool& pool,
+bool CheckSequenceLocks(CBlockIndex* tip,
+ const CCoinsView& coins_view,
const CTransaction& tx,
int flags,
LockPoints* lp,
bool useExistingLockPoints)
{
- AssertLockHeld(cs_main);
- AssertLockHeld(pool.cs);
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
-
- CBlockIndex* tip = active_chainstate.m_chain.Tip();
assert(tip != nullptr);
CBlockIndex index;
@@ -292,14 +237,12 @@ bool CheckSequenceLocks(CChainState& active_chainstate,
lockPair.second = lp->time;
}
else {
- // CoinsTip() contains the UTXO set for active_chainstate.m_chain.Tip()
- CCoinsViewMemPool viewMemPool(&active_chainstate.CoinsTip(), pool);
std::vector<int> prevheights;
prevheights.resize(tx.vin.size());
for (size_t txinIndex = 0; txinIndex < tx.vin.size(); txinIndex++) {
const CTxIn& txin = tx.vin[txinIndex];
Coin coin;
- if (!viewMemPool.GetCoin(txin.prevout, coin)) {
+ if (!coins_view.GetCoin(txin.prevout, coin)) {
return error("%s: Missing input", __func__);
}
if (coin.nHeight == MEMPOOL_HEIGHT) {
@@ -343,8 +286,10 @@ bool CheckSequenceLocks(CChainState& active_chainstate,
static unsigned int GetBlockScriptFlags(const CBlockIndex* pindex, const Consensus::Params& chainparams);
static void LimitMempoolSize(CTxMemPool& pool, CCoinsViewCache& coins_cache, size_t limit, std::chrono::seconds age)
- EXCLUSIVE_LOCKS_REQUIRED(pool.cs, ::cs_main)
+ EXCLUSIVE_LOCKS_REQUIRED(::cs_main, pool.cs)
{
+ AssertLockHeld(::cs_main);
+ AssertLockHeld(pool.cs);
int expired = pool.Expire(GetTime<std::chrono::seconds>() - age);
if (expired != 0) {
LogPrint(BCLog::MEMPOOL, "Expired %i transactions from the memory pool\n", expired);
@@ -352,7 +297,6 @@ static void LimitMempoolSize(CTxMemPool& pool, CCoinsViewCache& coins_cache, siz
std::vector<COutPoint> vNoSpendsRemaining;
pool.TrimToSize(limit, &vNoSpendsRemaining);
- assert(std::addressof(::ChainstateActive().CoinsTip()) == std::addressof(coins_cache));
for (const COutPoint& removed : vNoSpendsRemaining)
coins_cache.Uncache(removed);
}
@@ -360,7 +304,6 @@ static void LimitMempoolSize(CTxMemPool& pool, CCoinsViewCache& coins_cache, siz
static bool IsCurrentForFeeEstimation(CChainState& active_chainstate) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
{
AssertLockHeld(cs_main);
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
if (active_chainstate.IsInitialBlockDownload())
return false;
if (active_chainstate.m_chain.Tip()->GetBlockTime() < count_seconds(GetTime<std::chrono::seconds>() - MAX_FEE_ESTIMATION_TIP_AGE))
@@ -370,24 +313,14 @@ static bool IsCurrentForFeeEstimation(CChainState& active_chainstate) EXCLUSIVE_
return true;
}
-/* Make mempool consistent after a reorg, by re-adding or recursively erasing
- * disconnected block transactions from the mempool, and also removing any
- * other transactions from the mempool that are no longer valid given the new
- * tip/height.
- *
- * Note: we assume that disconnectpool only contains transactions that are NOT
- * confirmed in the current chain nor already in the mempool (otherwise,
- * in-mempool descendants of such transactions would be removed).
- *
- * Passing fAddToMempool=false will skip trying to add the transactions back,
- * and instead just erase from the mempool as needed.
- */
-
-static void UpdateMempoolForReorg(CChainState& active_chainstate, CTxMemPool& mempool, DisconnectedBlockTransactions& disconnectpool, bool fAddToMempool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, mempool.cs)
+void CChainState::MaybeUpdateMempoolForReorg(
+ DisconnectedBlockTransactions& disconnectpool,
+ bool fAddToMempool)
{
+ if (!m_mempool) return;
+
AssertLockHeld(cs_main);
- AssertLockHeld(mempool.cs);
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
+ AssertLockHeld(m_mempool->cs);
std::vector<uint256> vHashUpdate;
// disconnectpool's insertion_order index sorts the entries from
// oldest to newest, but the oldest entry will be the last tx from the
@@ -399,11 +332,13 @@ static void UpdateMempoolForReorg(CChainState& active_chainstate, CTxMemPool& me
while (it != disconnectpool.queuedTx.get<insertion_order>().rend()) {
// ignore validation errors in resurrected transactions
if (!fAddToMempool || (*it)->IsCoinBase() ||
- AcceptToMemoryPool(active_chainstate, mempool, *it, true /* bypass_limits */).m_result_type != MempoolAcceptResult::ResultType::VALID) {
+ AcceptToMemoryPool(*this, *it, GetTime(),
+ /*bypass_limits=*/true, /*test_accept=*/false).m_result_type !=
+ MempoolAcceptResult::ResultType::VALID) {
// If the transaction doesn't make it in to the mempool, remove any
// transactions that depend on it (which would now be orphans).
- mempool.removeRecursive(**it, MemPoolRemovalReason::REORG);
- } else if (mempool.exists((*it)->GetHash())) {
+ m_mempool->removeRecursive(**it, MemPoolRemovalReason::REORG);
+ } else if (m_mempool->exists(GenTxid::Txid((*it)->GetHash()))) {
vHashUpdate.push_back((*it)->GetHash());
}
++it;
@@ -414,12 +349,65 @@ static void UpdateMempoolForReorg(CChainState& active_chainstate, CTxMemPool& me
// previously-confirmed transactions back to the mempool.
// UpdateTransactionsFromBlock finds descendants of any transactions in
// the disconnectpool that were added back and cleans up the mempool state.
- mempool.UpdateTransactionsFromBlock(vHashUpdate);
+ const uint64_t ancestor_count_limit = gArgs.GetIntArg("-limitancestorcount", DEFAULT_ANCESTOR_LIMIT);
+ const uint64_t ancestor_size_limit = gArgs.GetIntArg("-limitancestorsize", DEFAULT_ANCESTOR_SIZE_LIMIT) * 1000;
+ m_mempool->UpdateTransactionsFromBlock(vHashUpdate, ancestor_size_limit, ancestor_count_limit);
+
+ // Predicate to use for filtering transactions in removeForReorg.
+ // Checks whether the transaction is still final and, if it spends a coinbase output, mature.
+ // Also updates valid entries' cached LockPoints if needed.
+ // If false, the tx is still valid and its lockpoints are updated.
+ // If true, the tx would be invalid in the next block; remove this entry and all of its descendants.
+ const auto filter_final_and_mature = [this, flags=STANDARD_LOCKTIME_VERIFY_FLAGS](CTxMemPool::txiter it)
+ EXCLUSIVE_LOCKS_REQUIRED(m_mempool->cs, ::cs_main) {
+ AssertLockHeld(m_mempool->cs);
+ AssertLockHeld(::cs_main);
+ const CTransaction& tx = it->GetTx();
+
+ // The transaction must be final.
+ if (!CheckFinalTx(m_chain.Tip(), tx, flags)) return true;
+ LockPoints lp = it->GetLockPoints();
+ const bool validLP{TestLockPointValidity(m_chain, lp)};
+ CCoinsViewMemPool view_mempool(&CoinsTip(), *m_mempool);
+ // CheckSequenceLocks checks if the transaction will be final in the next block to be
+ // created on top of the new chain. We use useExistingLockPoints=false so that, instead of
+ // using the information in lp (which might now refer to a block that no longer exists in
+ // the chain), it will update lp to contain LockPoints relevant to the new chain.
+ if (!CheckSequenceLocks(m_chain.Tip(), view_mempool, tx, flags, &lp, validLP)) {
+ // If CheckSequenceLocks fails, remove the tx and don't depend on the LockPoints.
+ return true;
+ } else if (!validLP) {
+ // If CheckSequenceLocks succeeded, it also updated the LockPoints.
+ // Now update the mempool entry lockpoints as well.
+ m_mempool->mapTx.modify(it, [&lp](CTxMemPoolEntry& e) { e.UpdateLockPoints(lp); });
+ }
+
+ // If the transaction spends any coinbase outputs, it must be mature.
+ if (it->GetSpendsCoinbase()) {
+ for (const CTxIn& txin : tx.vin) {
+ auto it2 = m_mempool->mapTx.find(txin.prevout.hash);
+ if (it2 != m_mempool->mapTx.end())
+ continue;
+ const Coin& coin{CoinsTip().AccessCoin(txin.prevout)};
+ assert(!coin.IsSpent());
+ const auto mempool_spend_height{m_chain.Tip()->nHeight + 1};
+ if (coin.IsCoinBase() && mempool_spend_height - coin.nHeight < COINBASE_MATURITY) {
+ return true;
+ }
+ }
+ }
+ // Transaction is still valid and cached LockPoints are updated.
+ return false;
+ };
// We also need to remove any now-immature transactions
- mempool.removeForReorg(active_chainstate, STANDARD_LOCKTIME_VERIFY_FLAGS);
+ m_mempool->removeForReorg(m_chain, filter_final_and_mature);
// Re-limit mempool size, in case we added any transactions
- LimitMempoolSize(mempool, active_chainstate.CoinsTip(), gArgs.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000, std::chrono::hours{gArgs.GetArg("-mempoolexpiry", DEFAULT_MEMPOOL_EXPIRY)});
+ LimitMempoolSize(
+ *m_mempool,
+ this->CoinsTip(),
+ gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000,
+ std::chrono::hours{gArgs.GetIntArg("-mempoolexpiry", DEFAULT_MEMPOOL_EXPIRY)});
}
/**
@@ -454,7 +442,6 @@ static bool CheckInputsFromMempoolAndCache(const CTransaction& tx, TxValidationS
assert(txFrom->vout.size() > txin.prevout.n);
assert(txFrom->vout[txin.prevout.n] == coin.out);
} else {
- assert(std::addressof(::ChainstateActive().CoinsTip()) == std::addressof(coins_tip));
const Coin& coinFromUTXOSet = coins_tip.AccessCoin(txin.prevout);
assert(!coinFromUTXOSet.IsSpent());
assert(coinFromUTXOSet.out == coin.out);
@@ -462,7 +449,7 @@ static bool CheckInputsFromMempoolAndCache(const CTransaction& tx, TxValidationS
}
// Call CheckInputScripts() to cache signature and script validity against current tip consensus rules.
- return CheckInputScripts(tx, state, view, flags, /* cacheSigStore = */ true, /* cacheFullSciptStore = */ true, txdata);
+ return CheckInputScripts(tx, state, view, flags, /* cacheSigStore= */ true, /* cacheFullScriptStore= */ true, txdata);
}
namespace {
@@ -471,11 +458,10 @@ class MemPoolAccept
{
public:
explicit MemPoolAccept(CTxMemPool& mempool, CChainState& active_chainstate) : m_pool(mempool), m_view(&m_dummy), m_viewmempool(&active_chainstate.CoinsTip(), m_pool), m_active_chainstate(active_chainstate),
- m_limit_ancestors(gArgs.GetArg("-limitancestorcount", DEFAULT_ANCESTOR_LIMIT)),
- m_limit_ancestor_size(gArgs.GetArg("-limitancestorsize", DEFAULT_ANCESTOR_SIZE_LIMIT)*1000),
- m_limit_descendants(gArgs.GetArg("-limitdescendantcount", DEFAULT_DESCENDANT_LIMIT)),
- m_limit_descendant_size(gArgs.GetArg("-limitdescendantsize", DEFAULT_DESCENDANT_SIZE_LIMIT)*1000) {
- assert(std::addressof(::ChainstateActive()) == std::addressof(m_active_chainstate));
+ m_limit_ancestors(gArgs.GetIntArg("-limitancestorcount", DEFAULT_ANCESTOR_LIMIT)),
+ m_limit_ancestor_size(gArgs.GetIntArg("-limitancestorsize", DEFAULT_ANCESTOR_SIZE_LIMIT)*1000),
+ m_limit_descendants(gArgs.GetIntArg("-limitdescendantcount", DEFAULT_DESCENDANT_LIMIT)),
+ m_limit_descendant_size(gArgs.GetIntArg("-limitdescendantsize", DEFAULT_DESCENDANT_SIZE_LIMIT)*1000) {
}
// We put the arguments we're handed into a struct, so we can pass them
@@ -493,31 +479,117 @@ public:
*/
std::vector<COutPoint>& m_coins_to_uncache;
const bool m_test_accept;
+ /** Whether we allow transactions to replace mempool transactions by BIP125 rules. If false,
+ * any transaction spending the same inputs as a transaction in the mempool is considered
+ * a conflict. */
+ const bool m_allow_bip125_replacement;
+ /** When true, the mempool will not be trimmed when individual transactions are submitted in
+ * Finalize(). Instead, limits should be enforced at the end to ensure the package is not
+ * partially submitted.
+ */
+ const bool m_package_submission;
+
+ /** Parameters for single transaction mempool validation. */
+ static ATMPArgs SingleAccept(const CChainParams& chainparams, int64_t accept_time,
+ bool bypass_limits, std::vector<COutPoint>& coins_to_uncache,
+ bool test_accept) {
+ return ATMPArgs{/* m_chainparams */ chainparams,
+ /* m_accept_time */ accept_time,
+ /* m_bypass_limits */ bypass_limits,
+ /* m_coins_to_uncache */ coins_to_uncache,
+ /* m_test_accept */ test_accept,
+ /* m_allow_bip125_replacement */ true,
+ /* m_package_submission */ false,
+ };
+ }
+
+ /** Parameters for test package mempool validation through testmempoolaccept. */
+ static ATMPArgs PackageTestAccept(const CChainParams& chainparams, int64_t accept_time,
+ std::vector<COutPoint>& coins_to_uncache) {
+ return ATMPArgs{/* m_chainparams */ chainparams,
+ /* m_accept_time */ accept_time,
+ /* m_bypass_limits */ false,
+ /* m_coins_to_uncache */ coins_to_uncache,
+ /* m_test_accept */ true,
+ /* m_allow_bip125_replacement */ false,
+ /* m_package_submission */ false, // not submitting to mempool
+ };
+ }
+
+ /** Parameters for child-with-unconfirmed-parents package validation. */
+ static ATMPArgs PackageChildWithParents(const CChainParams& chainparams, int64_t accept_time,
+ std::vector<COutPoint>& coins_to_uncache) {
+ return ATMPArgs{/* m_chainparams */ chainparams,
+ /* m_accept_time */ accept_time,
+ /* m_bypass_limits */ false,
+ /* m_coins_to_uncache */ coins_to_uncache,
+ /* m_test_accept */ false,
+ /* m_allow_bip125_replacement */ false,
+ /* m_package_submission */ true,
+ };
+ }
+ // No default ctor to avoid exposing details to clients and allowing the possibility of
+ // mixing up the order of the arguments. Use static functions above instead.
+ ATMPArgs() = delete;
};
// Single transaction acceptance
MempoolAcceptResult AcceptSingleTransaction(const CTransactionRef& ptx, ATMPArgs& args) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ /**
+ * Multiple transaction acceptance. Transactions may or may not be interdependent, but must not
+ * conflict with each other, and the transactions cannot already be in the mempool. Parents must
+ * come before children if any dependencies exist.
+ */
+ PackageMempoolAcceptResult AcceptMultipleTransactions(const std::vector<CTransactionRef>& txns, ATMPArgs& args) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+ /**
+ * Package (more specific than just multiple transactions) acceptance. Package must be a child
+ * with all of its unconfirmed parents, and topologically sorted.
+ */
+ PackageMempoolAcceptResult AcceptPackage(const Package& package, ATMPArgs& args) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
private:
// All the intermediate state that gets passed between the various levels
// of checking a given transaction.
struct Workspace {
explicit Workspace(const CTransactionRef& ptx) : m_ptx(ptx), m_hash(ptx->GetHash()) {}
+ /** Txids of mempool transactions that this transaction directly conflicts with. */
std::set<uint256> m_conflicts;
+ /** Iterators to mempool entries that this transaction directly conflicts with. */
+ CTxMemPool::setEntries m_iters_conflicting;
+ /** Iterators to all mempool entries that would be replaced by this transaction, including
+ * those it directly conflicts with and their descendants. */
CTxMemPool::setEntries m_all_conflicting;
+ /** All mempool ancestors of this transaction. */
CTxMemPool::setEntries m_ancestors;
+ /** Mempool entry constructed for this transaction. Constructed in PreChecks() but not
+ * inserted into the mempool until Finalize(). */
std::unique_ptr<CTxMemPoolEntry> m_entry;
+ /** Pointers to the transactions that have been removed from the mempool and replaced by
+ * this transaction, used to return to the MemPoolAccept caller. Only populated if
+ * validation is successful and the original transactions are removed. */
std::list<CTransactionRef> m_replaced_transactions;
- bool m_replacement_transaction;
+ /** Virtual size of the transaction as used by the mempool, calculated using serialized size
+ * of the transaction and sigops. */
+ int64_t m_vsize;
+ /** Fees paid by this transaction: total input amounts subtracted by total output amounts. */
CAmount m_base_fees;
+ /** Base fees + any fee delta set by the user with prioritisetransaction. */
CAmount m_modified_fees;
- CAmount m_conflicting_fees;
- size_t m_conflicting_size;
+ /** Total modified fees of all transactions being replaced. */
+ CAmount m_conflicting_fees{0};
+ /** Total virtual size of all transactions being replaced. */
+ size_t m_conflicting_size{0};
const CTransactionRef& m_ptx;
+ /** Txid. */
const uint256& m_hash;
TxValidationState m_state;
+ /** A temporary cache containing serialized transaction data for signature verification.
+ * Reused across PolicyScriptChecks and ConsensusScriptChecks. */
+ PrecomputedTransactionData m_precomputed_txdata;
};
// Run the policy checks on a given transaction, excluding any script checks.
@@ -526,25 +598,43 @@ private:
// only tests that are fast should be done here (to avoid CPU DoS).
bool PreChecks(ATMPArgs& args, Workspace& ws) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
+ // Run checks for mempool replace-by-fee.
+ bool ReplacementChecks(Workspace& ws) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
+
+ // Enforce package mempool ancestor/descendant limits (distinct from individual
+ // ancestor/descendant limits done in PreChecks).
+ bool PackageMempoolChecks(const std::vector<CTransactionRef>& txns,
+ PackageValidationState& package_state) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
+
// Run the script checks using our policy flags. As this can be slow, we should
// only invoke this on transactions that have otherwise passed policy checks.
- bool PolicyScriptChecks(const ATMPArgs& args, Workspace& ws, PrecomputedTransactionData& txdata) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
+ bool PolicyScriptChecks(const ATMPArgs& args, Workspace& ws) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
// Re-run the script checks, using consensus flags, and try to cache the
// result in the scriptcache. This should be done after
// PolicyScriptChecks(). This requires that all inputs either be in our
// utxo set or in the mempool.
- bool ConsensusScriptChecks(const ATMPArgs& args, Workspace& ws, PrecomputedTransactionData &txdata) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
+ bool ConsensusScriptChecks(const ATMPArgs& args, Workspace& ws) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
// Try to add the transaction to the mempool, removing any conflicts first.
// Returns true if the transaction is in the mempool after any size
// limiting is performed, false otherwise.
bool Finalize(const ATMPArgs& args, Workspace& ws) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
+ // Submit all transactions to the mempool and call ConsensusScriptChecks to add to the script
+ // cache - should only be called after successful validation of all transactions in the package.
+ // The package may end up partially-submitted after size limiting; returns true if all
+ // transactions are successfully added to the mempool, false otherwise.
+ bool SubmitPackage(const ATMPArgs& args, std::vector<Workspace>& workspaces, PackageValidationState& package_state,
+ std::map<const uint256, const MempoolAcceptResult>& results)
+ EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs);
+
// Compare a package's feerate against minimum allowed.
- bool CheckFeeRate(size_t package_size, CAmount package_fee, TxValidationState& state) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_pool.cs)
+ bool CheckFeeRate(size_t package_size, CAmount package_fee, TxValidationState& state) EXCLUSIVE_LOCKS_REQUIRED(::cs_main, m_pool.cs)
{
- CAmount mempoolRejectFee = m_pool.GetMinFee(gArgs.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000).GetFee(package_size);
+ AssertLockHeld(::cs_main);
+ AssertLockHeld(m_pool.cs);
+ CAmount mempoolRejectFee = m_pool.GetMinFee(gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000).GetFee(package_size);
if (mempoolRejectFee > 0 && package_fee < mempoolRejectFee) {
return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "mempool min fee not met", strprintf("%d < %d", package_fee, mempoolRejectFee));
}
@@ -570,10 +660,15 @@ private:
// in-mempool conflicts; see below).
size_t m_limit_descendants;
size_t m_limit_descendant_size;
+
+ /** Whether the transaction(s) would replace any mempool transactions. If so, RBF rules apply. */
+ bool m_rbf{false};
};
bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
{
+ AssertLockHeld(cs_main);
+ AssertLockHeld(m_pool.cs);
const CTransactionRef& ptx = ws.m_ptx;
const CTransaction& tx = *ws.m_ptx;
const uint256& hash = ws.m_hash;
@@ -585,14 +680,7 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
// Alias what we need out of ws
TxValidationState& state = ws.m_state;
- std::set<uint256>& setConflicts = ws.m_conflicts;
- CTxMemPool::setEntries& allConflicting = ws.m_all_conflicting;
- CTxMemPool::setEntries& setAncestors = ws.m_ancestors;
std::unique_ptr<CTxMemPoolEntry>& entry = ws.m_entry;
- bool& fReplacementTransaction = ws.m_replacement_transaction;
- CAmount& nModifiedFees = ws.m_modified_fees;
- CAmount& nConflictingFees = ws.m_conflicting_fees;
- size_t& nConflictingSize = ws.m_conflicting_size;
if (!CheckTransaction(tx, state)) {
return false; // state filled in by CheckTransaction
@@ -617,13 +705,16 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
// Only accept nLockTime-using transactions that can be mined in the next
// block; we don't want our mempool filled up with transactions that can't
// be mined yet.
- assert(std::addressof(::ChainActive()) == std::addressof(m_active_chainstate.m_chain));
if (!CheckFinalTx(m_active_chainstate.m_chain.Tip(), tx, STANDARD_LOCKTIME_VERIFY_FLAGS))
return state.Invalid(TxValidationResult::TX_PREMATURE_SPEND, "non-final");
- // is it already in the memory pool?
- if (m_pool.exists(hash)) {
+ if (m_pool.exists(GenTxid::Wtxid(tx.GetWitnessHash()))) {
+ // Exact transaction already exists in the mempool.
return state.Invalid(TxValidationResult::TX_CONFLICT, "txn-already-in-mempool");
+ } else if (m_pool.exists(GenTxid::Txid(tx.GetHash()))) {
+ // Transaction with the same non-witness data but different witness (same txid, different
+ // wtxid) already exists in the mempool.
+ return state.Invalid(TxValidationResult::TX_CONFLICT, "txn-same-nonwitness-data-in-mempool");
}
// Check for conflicts with in-memory transactions
@@ -631,34 +722,24 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
{
const CTransaction* ptxConflicting = m_pool.GetConflictTx(txin.prevout);
if (ptxConflicting) {
- if (!setConflicts.count(ptxConflicting->GetHash()))
+ if (!args.m_allow_bip125_replacement) {
+ // Transaction conflicts with a mempool tx, but we're not allowing replacements.
+ return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "bip125-replacement-disallowed");
+ }
+ if (!ws.m_conflicts.count(ptxConflicting->GetHash()))
{
- // Allow opt-out of transaction replacement by setting
- // nSequence > MAX_BIP125_RBF_SEQUENCE (SEQUENCE_FINAL-2) on all inputs.
- //
- // SEQUENCE_FINAL-1 is picked to still allow use of nLockTime by
- // non-replaceable transactions. All inputs rather than just one
- // is for the sake of multi-party protocols, where we don't
- // want a single party to be able to disable replacement.
- //
- // The opt-out ignores descendants as anyone relying on
- // first-seen mempool behavior should be checking all
- // unconfirmed ancestors anyway; doing otherwise is hopelessly
- // insecure.
- bool fReplacementOptOut = true;
- for (const CTxIn &_txin : ptxConflicting->vin)
- {
- if (_txin.nSequence <= MAX_BIP125_RBF_SEQUENCE)
- {
- fReplacementOptOut = false;
- break;
- }
- }
- if (fReplacementOptOut) {
+ // Transactions that don't explicitly signal replaceability are
+ // *not* replaceable with the current logic, even if one of their
+ // unconfirmed ancestors signals replaceability. This diverges
+ // from BIP125's inherited signaling description (see CVE-2021-31876).
+ // Applications relying on first-seen mempool behavior should
+ // check all unconfirmed ancestors; otherwise an opt-in ancestor
+ // might be replaced, causing removal of this descendant.
+ if (!SignalsOptInRBF(*ptxConflicting)) {
return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "txn-mempool-conflict");
}
- setConflicts.insert(ptxConflicting->GetHash());
+ ws.m_conflicts.insert(ptxConflicting->GetHash());
}
}
}
@@ -666,7 +747,6 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
LockPoints lp;
m_view.SetBackend(m_viewmempool);
- assert(std::addressof(::ChainstateActive().CoinsTip()) == std::addressof(m_active_chainstate.CoinsTip()));
const CCoinsViewCache& coins_cache = m_active_chainstate.CoinsTip();
// do all inputs exist?
for (const CTxIn& txin : tx.vin) {
@@ -690,7 +770,8 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
}
}
- // Bring the best block into scope
+ // This is const, but calls into the back end CoinsViews. The CCoinsViewDB at the bottom of the
+ // hierarchy brings the best block into scope. See CCoinsViewDB::GetBestBlock().
m_view.GetBestBlock();
// we have all inputs cached now, so switch back to dummy (to protect
@@ -698,25 +779,23 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
// to coins_to_uncache)
m_view.SetBackend(m_dummy);
+ assert(m_active_chainstate.m_blockman.LookupBlockIndex(m_view.GetBestBlock()) == m_active_chainstate.m_chain.Tip());
+
// Only accept BIP68 sequence locked transactions that can be mined in the next
// block; we don't want our mempool filled up with transactions that can't
// be mined yet.
- // Must keep pool.cs for this unless we change CheckSequenceLocks to take a
- // CoinsViewCache instead of create its own
- assert(std::addressof(::ChainstateActive()) == std::addressof(m_active_chainstate));
- if (!CheckSequenceLocks(m_active_chainstate, m_pool, tx, STANDARD_LOCKTIME_VERIFY_FLAGS, &lp))
+ // Pass in m_view which has all of the relevant inputs cached. Note that, since m_view's
+ // backend was removed, it no longer pulls coins from the mempool.
+ if (!CheckSequenceLocks(m_active_chainstate.m_chain.Tip(), m_view, tx, STANDARD_LOCKTIME_VERIFY_FLAGS, &lp))
return state.Invalid(TxValidationResult::TX_PREMATURE_SPEND, "non-BIP68-final");
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(m_active_chainstate.m_blockman));
- if (!Consensus::CheckTxInputs(tx, state, m_view, m_active_chainstate.m_blockman.GetSpendHeight(m_view), ws.m_base_fees)) {
+ // The mempool holds txs for the next block, so pass height+1 to CheckTxInputs
+ if (!Consensus::CheckTxInputs(tx, state, m_view, m_active_chainstate.m_chain.Height() + 1, ws.m_base_fees)) {
return false; // state filled in by CheckTxInputs
}
// Check for non-standard pay-to-script-hash in inputs
- const auto& params = args.m_chainparams.GetConsensus();
- assert(std::addressof(::ChainActive()) == std::addressof(m_active_chainstate.m_chain));
- auto taproot_state = VersionBitsState(m_active_chainstate.m_chain.Tip(), params, Consensus::DEPLOYMENT_TAPROOT, versionbitscache);
- if (fRequireStandard && !AreInputsStandard(tx, m_view, taproot_state == ThresholdState::ACTIVE)) {
+ if (fRequireStandard && !AreInputsStandard(tx, m_view)) {
return state.Invalid(TxValidationResult::TX_INPUTS_NOT_STANDARD, "bad-txns-nonstandard-inputs");
}
@@ -726,9 +805,9 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
int64_t nSigOpsCost = GetTransactionSigOpCost(tx, m_view, STANDARD_SCRIPT_VERIFY_FLAGS);
- // nModifiedFees includes any fee deltas from PrioritiseTransaction
- nModifiedFees = ws.m_base_fees;
- m_pool.ApplyDelta(hash, nModifiedFees);
+ // ws.m_modified_fees includes any fee deltas from PrioritiseTransaction
+ ws.m_modified_fees = ws.m_base_fees;
+ m_pool.ApplyDelta(hash, ws.m_modified_fees);
// Keep track of transactions that spend a coinbase, which we re-scan
// during reorgs to ensure COINBASE_MATURITY is still met.
@@ -741,10 +820,9 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
}
}
- assert(std::addressof(::ChainActive()) == std::addressof(m_active_chainstate.m_chain));
entry.reset(new CTxMemPoolEntry(ptx, ws.m_base_fees, nAcceptTime, m_active_chainstate.m_chain.Height(),
fSpendsCoinbase, nSigOpsCost, lp));
- unsigned int nSize = entry->GetTxSize();
+ ws.m_vsize = entry->GetTxSize();
if (nSigOpsCost > MAX_STANDARD_TX_SIGOPS_COST)
return state.Invalid(TxValidationResult::TX_NOT_STANDARD, "bad-txns-too-many-sigops",
@@ -752,11 +830,11 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
// No transactions are allowed below minRelayTxFee except from disconnected
// blocks
- if (!bypass_limits && !CheckFeeRate(nSize, nModifiedFees, state)) return false;
+ if (!bypass_limits && !CheckFeeRate(ws.m_vsize, ws.m_modified_fees, state)) return false;
- const CTxMemPool::setEntries setIterConflicting = m_pool.GetIterSet(setConflicts);
+ ws.m_iters_conflicting = m_pool.GetIterSet(ws.m_conflicts);
// Calculate in-mempool ancestors, up to a limit.
- if (setConflicts.size() == 1) {
+ if (ws.m_conflicts.size() == 1) {
// In general, when we receive an RBF transaction with mempool conflicts, we want to know whether we
// would meet the chain limits after the conflicts have been removed. However, there isn't a practical
// way to do this short of calculating the ancestor and descendant sets with an overlay cache of
@@ -784,16 +862,16 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
// the ancestor limits should be the same for both our new transaction and any conflicts).
// We don't bother incrementing m_limit_descendants by the full removal count as that limit never comes
// into force here (as we're only adding a single transaction).
- assert(setIterConflicting.size() == 1);
- CTxMemPool::txiter conflict = *setIterConflicting.begin();
+ assert(ws.m_iters_conflicting.size() == 1);
+ CTxMemPool::txiter conflict = *ws.m_iters_conflicting.begin();
m_limit_descendants += 1;
m_limit_descendant_size += conflict->GetSizeWithDescendants();
}
std::string errString;
- if (!m_pool.CalculateMemPoolAncestors(*entry, setAncestors, m_limit_ancestors, m_limit_ancestor_size, m_limit_descendants, m_limit_descendant_size, errString)) {
- setAncestors.clear();
+ if (!m_pool.CalculateMemPoolAncestors(*entry, ws.m_ancestors, m_limit_ancestors, m_limit_ancestor_size, m_limit_descendants, m_limit_descendant_size, errString)) {
+ ws.m_ancestors.clear();
// If CalculateMemPoolAncestors fails second time, we want the original error string.
std::string dummy_err_string;
// Contracting/payment channels CPFP carve-out:
@@ -807,147 +885,92 @@ bool MemPoolAccept::PreChecks(ATMPArgs& args, Workspace& ws)
// to be secure by simply only having two immediately-spendable
// outputs - one for each counterparty. For more info on the uses for
// this, see https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2018-November/016518.html
- if (nSize > EXTRA_DESCENDANT_TX_SIZE_LIMIT ||
- !m_pool.CalculateMemPoolAncestors(*entry, setAncestors, 2, m_limit_ancestor_size, m_limit_descendants + 1, m_limit_descendant_size + EXTRA_DESCENDANT_TX_SIZE_LIMIT, dummy_err_string)) {
+ if (ws.m_vsize > EXTRA_DESCENDANT_TX_SIZE_LIMIT ||
+ !m_pool.CalculateMemPoolAncestors(*entry, ws.m_ancestors, 2, m_limit_ancestor_size, m_limit_descendants + 1, m_limit_descendant_size + EXTRA_DESCENDANT_TX_SIZE_LIMIT, dummy_err_string)) {
return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "too-long-mempool-chain", errString);
}
}
// A transaction that spends outputs that would be replaced by it is invalid. Now
// that we have the set of all ancestors we can detect this
- // pathological case by making sure setConflicts and setAncestors don't
+ // pathological case by making sure ws.m_conflicts and ws.m_ancestors don't
// intersect.
- for (CTxMemPool::txiter ancestorIt : setAncestors)
- {
- const uint256 &hashAncestor = ancestorIt->GetTx().GetHash();
- if (setConflicts.count(hashAncestor))
- {
- return state.Invalid(TxValidationResult::TX_CONSENSUS, "bad-txns-spends-conflicting-tx",
- strprintf("%s spends conflicting transaction %s",
- hash.ToString(),
- hashAncestor.ToString()));
- }
+ if (const auto err_string{EntriesAndTxidsDisjoint(ws.m_ancestors, ws.m_conflicts, hash)}) {
+ // We classify this as a consensus error because a transaction depending on something it
+ // conflicts with would be inconsistent.
+ return state.Invalid(TxValidationResult::TX_CONSENSUS, "bad-txns-spends-conflicting-tx", *err_string);
}
- // Check if it's economically rational to mine this transaction rather
- // than the ones it replaces.
- nConflictingFees = 0;
- nConflictingSize = 0;
- uint64_t nConflictingCount = 0;
+ m_rbf = !ws.m_conflicts.empty();
+ return true;
+}
- // If we don't hold the lock allConflicting might be incomplete; the
- // subsequent RemoveStaged() and addUnchecked() calls don't guarantee
- // mempool consistency for us.
- fReplacementTransaction = setConflicts.size();
- if (fReplacementTransaction)
- {
- CFeeRate newFeeRate(nModifiedFees, nSize);
- std::set<uint256> setConflictsParents;
- const int maxDescendantsToVisit = 100;
- for (const auto& mi : setIterConflicting) {
- // Don't allow the replacement to reduce the feerate of the
- // mempool.
- //
- // We usually don't want to accept replacements with lower
- // feerates than what they replaced as that would lower the
- // feerate of the next block. Requiring that the feerate always
- // be increased is also an easy-to-reason about way to prevent
- // DoS attacks via replacements.
- //
- // We only consider the feerates of transactions being directly
- // replaced, not their indirect descendants. While that does
- // mean high feerate children are ignored when deciding whether
- // or not to replace, we do require the replacement to pay more
- // overall fees too, mitigating most cases.
- CFeeRate oldFeeRate(mi->GetModifiedFee(), mi->GetTxSize());
- if (newFeeRate <= oldFeeRate)
- {
- return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "insufficient fee",
- strprintf("rejecting replacement %s; new feerate %s <= old feerate %s",
- hash.ToString(),
- newFeeRate.ToString(),
- oldFeeRate.ToString()));
- }
+bool MemPoolAccept::ReplacementChecks(Workspace& ws)
+{
+ AssertLockHeld(cs_main);
+ AssertLockHeld(m_pool.cs);
- for (const CTxIn &txin : mi->GetTx().vin)
- {
- setConflictsParents.insert(txin.prevout.hash);
- }
+ const CTransaction& tx = *ws.m_ptx;
+ const uint256& hash = ws.m_hash;
+ TxValidationState& state = ws.m_state;
- nConflictingCount += mi->GetCountWithDescendants();
- }
- // This potentially overestimates the number of actual descendants
- // but we just want to be conservative to avoid doing too much
- // work.
- if (nConflictingCount <= maxDescendantsToVisit) {
- // If not too many to replace, then calculate the set of
- // transactions that would have to be evicted
- for (CTxMemPool::txiter it : setIterConflicting) {
- m_pool.CalculateDescendants(it, allConflicting);
- }
- for (CTxMemPool::txiter it : allConflicting) {
- nConflictingFees += it->GetModifiedFee();
- nConflictingSize += it->GetTxSize();
- }
- } else {
- return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "too many potential replacements",
- strprintf("rejecting replacement %s; too many potential replacements (%d > %d)\n",
- hash.ToString(),
- nConflictingCount,
- maxDescendantsToVisit));
- }
+ CFeeRate newFeeRate(ws.m_modified_fees, ws.m_vsize);
+ // It's possible that the replacement pays more fees than its direct conflicts but not more
+ // than all conflicts (i.e. the direct conflicts have high-fee descendants). However, if the
+ // replacement doesn't pay more fees than its direct conflicts, then we can be sure it's not
+ // more economically rational to mine. Before we go digging through the mempool for all
+ // transactions that would need to be removed (direct conflicts and all descendants), check
+ // that the replacement transaction pays more than its direct conflicts.
+ if (const auto err_string{PaysMoreThanConflicts(ws.m_iters_conflicting, newFeeRate, hash)}) {
+ return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "insufficient fee", *err_string);
+ }
+
+ // Calculate all conflicting entries and enforce BIP125 Rule #5.
+ if (const auto err_string{GetEntriesForConflicts(tx, m_pool, ws.m_iters_conflicting, ws.m_all_conflicting)}) {
+ return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY,
+ "too many potential replacements", *err_string);
+ }
+ // Enforce BIP125 Rule #2.
+ if (const auto err_string{HasNoNewUnconfirmed(tx, m_pool, ws.m_iters_conflicting)}) {
+ return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY,
+ "replacement-adds-unconfirmed", *err_string);
+ }
+ // Check if it's economically rational to mine this transaction rather than the ones it
+ // replaces and pays for its own relay fees. Enforce BIP125 Rules #3 and #4.
+ for (CTxMemPool::txiter it : ws.m_all_conflicting) {
+ ws.m_conflicting_fees += it->GetModifiedFee();
+ ws.m_conflicting_size += it->GetTxSize();
+ }
+ if (const auto err_string{PaysForRBF(ws.m_conflicting_fees, ws.m_modified_fees, ws.m_vsize,
+ ::incrementalRelayFee, hash)}) {
+ return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "insufficient fee", *err_string);
+ }
+ return true;
+}
- for (unsigned int j = 0; j < tx.vin.size(); j++)
- {
- // We don't want to accept replacements that require low
- // feerate junk to be mined first. Ideally we'd keep track of
- // the ancestor feerates and make the decision based on that,
- // but for now requiring all new inputs to be confirmed works.
- //
- // Note that if you relax this to make RBF a little more useful,
- // this may break the CalculateMempoolAncestors RBF relaxation,
- // above. See the comment above the first CalculateMempoolAncestors
- // call for more info.
- if (!setConflictsParents.count(tx.vin[j].prevout.hash))
- {
- // Rather than check the UTXO set - potentially expensive -
- // it's cheaper to just check if the new input refers to a
- // tx that's in the mempool.
- if (m_pool.exists(tx.vin[j].prevout.hash)) {
- return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "replacement-adds-unconfirmed",
- strprintf("replacement %s adds unconfirmed input, idx %d",
- hash.ToString(), j));
- }
- }
- }
+bool MemPoolAccept::PackageMempoolChecks(const std::vector<CTransactionRef>& txns,
+ PackageValidationState& package_state)
+{
+ AssertLockHeld(cs_main);
+ AssertLockHeld(m_pool.cs);
- // The replacement must pay greater fees than the transactions it
- // replaces - if we did the bandwidth used by those conflicting
- // transactions would not be paid for.
- if (nModifiedFees < nConflictingFees)
- {
- return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "insufficient fee",
- strprintf("rejecting replacement %s, less fees than conflicting txs; %s < %s",
- hash.ToString(), FormatMoney(nModifiedFees), FormatMoney(nConflictingFees)));
- }
+ // CheckPackageLimits expects the package transactions to not already be in the mempool.
+ assert(std::all_of(txns.cbegin(), txns.cend(), [this](const auto& tx)
+ { return !m_pool.exists(GenTxid::Txid(tx->GetHash()));}));
- // Finally in addition to paying more fees than the conflicts the
- // new transaction must pay for its own bandwidth.
- CAmount nDeltaFees = nModifiedFees - nConflictingFees;
- if (nDeltaFees < ::incrementalRelayFee.GetFee(nSize))
- {
- return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "insufficient fee",
- strprintf("rejecting replacement %s, not enough additional fees to relay; %s < %s",
- hash.ToString(),
- FormatMoney(nDeltaFees),
- FormatMoney(::incrementalRelayFee.GetFee(nSize))));
- }
+ std::string err_string;
+ if (!m_pool.CheckPackageLimits(txns, m_limit_ancestors, m_limit_ancestor_size, m_limit_descendants,
+ m_limit_descendant_size, err_string)) {
+ // This is a package-wide error, separate from an individual transaction error.
+ return package_state.Invalid(PackageValidationResult::PCKG_POLICY, "package-mempool-limits", err_string);
}
- return true;
+ return true;
}
-bool MemPoolAccept::PolicyScriptChecks(const ATMPArgs& args, Workspace& ws, PrecomputedTransactionData& txdata)
+bool MemPoolAccept::PolicyScriptChecks(const ATMPArgs& args, Workspace& ws)
{
+ AssertLockHeld(cs_main);
+ AssertLockHeld(m_pool.cs);
const CTransaction& tx = *ws.m_ptx;
TxValidationState& state = ws.m_state;
@@ -955,13 +978,13 @@ bool MemPoolAccept::PolicyScriptChecks(const ATMPArgs& args, Workspace& ws, Prec
// Check input scripts and signatures.
// This is done last to help prevent CPU exhaustion denial-of-service attacks.
- if (!CheckInputScripts(tx, state, m_view, scriptVerifyFlags, true, false, txdata)) {
+ if (!CheckInputScripts(tx, state, m_view, scriptVerifyFlags, true, false, ws.m_precomputed_txdata)) {
// SCRIPT_VERIFY_CLEANSTACK requires SCRIPT_VERIFY_WITNESS, so we
// need to turn both off, and compare against just turning off CLEANSTACK
// to see if the failure is specifically due to witness validation.
TxValidationState state_dummy; // Want reported failures to be from first CheckInputScripts
- if (!tx.HasWitness() && CheckInputScripts(tx, state_dummy, m_view, scriptVerifyFlags & ~(SCRIPT_VERIFY_WITNESS | SCRIPT_VERIFY_CLEANSTACK), true, false, txdata) &&
- !CheckInputScripts(tx, state_dummy, m_view, scriptVerifyFlags & ~SCRIPT_VERIFY_CLEANSTACK, true, false, txdata)) {
+ if (!tx.HasWitness() && CheckInputScripts(tx, state_dummy, m_view, scriptVerifyFlags & ~(SCRIPT_VERIFY_WITNESS | SCRIPT_VERIFY_CLEANSTACK), true, false, ws.m_precomputed_txdata) &&
+ !CheckInputScripts(tx, state_dummy, m_view, scriptVerifyFlags & ~SCRIPT_VERIFY_CLEANSTACK, true, false, ws.m_precomputed_txdata)) {
// Only the witness is missing, so the transaction itself may be fine.
state.Invalid(TxValidationResult::TX_WITNESS_STRIPPED,
state.GetRejectReason(), state.GetDebugMessage());
@@ -972,8 +995,10 @@ bool MemPoolAccept::PolicyScriptChecks(const ATMPArgs& args, Workspace& ws, Prec
return true;
}
-bool MemPoolAccept::ConsensusScriptChecks(const ATMPArgs& args, Workspace& ws, PrecomputedTransactionData& txdata)
+bool MemPoolAccept::ConsensusScriptChecks(const ATMPArgs& args, Workspace& ws)
{
+ AssertLockHeld(cs_main);
+ AssertLockHeld(m_pool.cs);
const CTransaction& tx = *ws.m_ptx;
const uint256& hash = ws.m_hash;
TxValidationState& state = ws.m_state;
@@ -994,12 +1019,11 @@ bool MemPoolAccept::ConsensusScriptChecks(const ATMPArgs& args, Workspace& ws, P
// There is a similar check in CreateNewBlock() to prevent creating
// invalid blocks (using TestBlockValidity), however allowing such
// transactions into the mempool can be exploited as a DoS attack.
- assert(std::addressof(::ChainActive()) == std::addressof(m_active_chainstate.m_chain));
unsigned int currentBlockScriptVerifyFlags = GetBlockScriptFlags(m_active_chainstate.m_chain.Tip(), chainparams.GetConsensus());
- assert(std::addressof(::ChainstateActive().CoinsTip()) == std::addressof(m_active_chainstate.CoinsTip()));
- if (!CheckInputsFromMempoolAndCache(tx, state, m_view, m_pool, currentBlockScriptVerifyFlags, txdata, m_active_chainstate.CoinsTip())) {
- return error("%s: BUG! PLEASE REPORT THIS! CheckInputScripts failed against latest-block but not STANDARD flags %s, %s",
- __func__, hash.ToString(), state.ToString());
+ if (!CheckInputsFromMempoolAndCache(tx, state, m_view, m_pool, currentBlockScriptVerifyFlags,
+ ws.m_precomputed_txdata, m_active_chainstate.CoinsTip())) {
+ LogPrintf("BUG! PLEASE REPORT THIS! CheckInputScripts failed against latest-block but not STANDARD flags %s, %s\n", hash.ToString(), state.ToString());
+ return Assume(false);
}
return true;
@@ -1007,52 +1031,125 @@ bool MemPoolAccept::ConsensusScriptChecks(const ATMPArgs& args, Workspace& ws, P
bool MemPoolAccept::Finalize(const ATMPArgs& args, Workspace& ws)
{
+ AssertLockHeld(cs_main);
+ AssertLockHeld(m_pool.cs);
const CTransaction& tx = *ws.m_ptx;
const uint256& hash = ws.m_hash;
TxValidationState& state = ws.m_state;
const bool bypass_limits = args.m_bypass_limits;
- CTxMemPool::setEntries& allConflicting = ws.m_all_conflicting;
- CTxMemPool::setEntries& setAncestors = ws.m_ancestors;
- const CAmount& nModifiedFees = ws.m_modified_fees;
- const CAmount& nConflictingFees = ws.m_conflicting_fees;
- const size_t& nConflictingSize = ws.m_conflicting_size;
- const bool fReplacementTransaction = ws.m_replacement_transaction;
std::unique_ptr<CTxMemPoolEntry>& entry = ws.m_entry;
// Remove conflicting transactions from the mempool
- for (CTxMemPool::txiter it : allConflicting)
+ for (CTxMemPool::txiter it : ws.m_all_conflicting)
{
LogPrint(BCLog::MEMPOOL, "replacing tx %s with %s for %s additional fees, %d delta bytes\n",
it->GetTx().GetHash().ToString(),
hash.ToString(),
- FormatMoney(nModifiedFees - nConflictingFees),
- (int)entry->GetTxSize() - (int)nConflictingSize);
+ FormatMoney(ws.m_modified_fees - ws.m_conflicting_fees),
+ (int)entry->GetTxSize() - (int)ws.m_conflicting_size);
ws.m_replaced_transactions.push_back(it->GetSharedTx());
}
- m_pool.RemoveStaged(allConflicting, false, MemPoolRemovalReason::REPLACED);
+ m_pool.RemoveStaged(ws.m_all_conflicting, false, MemPoolRemovalReason::REPLACED);
// This transaction should only count for fee estimation if:
- // - it isn't a BIP 125 replacement transaction (may not be widely supported)
// - it's not being re-added during a reorg which bypasses typical mempool fee limits
// - the node is not behind
// - the transaction is not dependent on any other transactions in the mempool
- assert(std::addressof(::ChainstateActive()) == std::addressof(m_active_chainstate));
- bool validForFeeEstimation = !fReplacementTransaction && !bypass_limits && IsCurrentForFeeEstimation(m_active_chainstate) && m_pool.HasNoInputsOf(tx);
+ // - it's not part of a package. Since package relay is not currently supported, this
+ // transaction has not necessarily been accepted to miners' mempools.
+ bool validForFeeEstimation = !bypass_limits && !args.m_package_submission && IsCurrentForFeeEstimation(m_active_chainstate) && m_pool.HasNoInputsOf(tx);
// Store transaction in memory
- m_pool.addUnchecked(*entry, setAncestors, validForFeeEstimation);
+ m_pool.addUnchecked(*entry, ws.m_ancestors, validForFeeEstimation);
// trim mempool and check if tx was trimmed
- if (!bypass_limits) {
- assert(std::addressof(::ChainstateActive().CoinsTip()) == std::addressof(m_active_chainstate.CoinsTip()));
- LimitMempoolSize(m_pool, m_active_chainstate.CoinsTip(), gArgs.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000, std::chrono::hours{gArgs.GetArg("-mempoolexpiry", DEFAULT_MEMPOOL_EXPIRY)});
- if (!m_pool.exists(hash))
+ // If we are validating a package, don't trim here because we could evict a previous transaction
+ // in the package. LimitMempoolSize() should be called at the very end to make sure the mempool
+ // is still within limits and package submission happens atomically.
+ if (!args.m_package_submission && !bypass_limits) {
+ LimitMempoolSize(m_pool, m_active_chainstate.CoinsTip(), gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000, std::chrono::hours{gArgs.GetIntArg("-mempoolexpiry", DEFAULT_MEMPOOL_EXPIRY)});
+ if (!m_pool.exists(GenTxid::Txid(hash)))
return state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "mempool full");
}
return true;
}
+bool MemPoolAccept::SubmitPackage(const ATMPArgs& args, std::vector<Workspace>& workspaces,
+ PackageValidationState& package_state,
+ std::map<const uint256, const MempoolAcceptResult>& results)
+{
+ AssertLockHeld(cs_main);
+ AssertLockHeld(m_pool.cs);
+ // Sanity check: none of the transactions should be in the mempool, and none of the transactions
+ // should have a same-txid-different-witness equivalent in the mempool.
+ assert(std::all_of(workspaces.cbegin(), workspaces.cend(), [this](const auto& ws){
+ return !m_pool.exists(GenTxid::Txid(ws.m_ptx->GetHash())); }));
+
+ bool all_submitted = true;
+ // ConsensusScriptChecks adds to the script cache and is therefore consensus-critical;
+ // CheckInputsFromMempoolAndCache asserts that transactions only spend coins available from the
+ // mempool or UTXO set. Submit each transaction to the mempool immediately after calling
+ // ConsensusScriptChecks to make the outputs available for subsequent transactions.
+ for (Workspace& ws : workspaces) {
+ if (!ConsensusScriptChecks(args, ws)) {
+ results.emplace(ws.m_ptx->GetWitnessHash(), MempoolAcceptResult::Failure(ws.m_state));
+ // Since PolicyScriptChecks() passed, this should never fail.
+ all_submitted = false;
+ package_state.Invalid(PackageValidationResult::PCKG_MEMPOOL_ERROR,
+ strprintf("BUG! PolicyScriptChecks succeeded but ConsensusScriptChecks failed: %s",
+ ws.m_ptx->GetHash().ToString()));
+ }
+
+ // Re-calculate mempool ancestors to call addUnchecked(). They may have changed since the
+ // last calculation done in PreChecks, since package ancestors have already been submitted.
+ std::string unused_err_string;
+ if(!m_pool.CalculateMemPoolAncestors(*ws.m_entry, ws.m_ancestors, m_limit_ancestors,
+ m_limit_ancestor_size, m_limit_descendants,
+ m_limit_descendant_size, unused_err_string)) {
+ results.emplace(ws.m_ptx->GetWitnessHash(), MempoolAcceptResult::Failure(ws.m_state));
+ // Since PreChecks() and PackageMempoolChecks() both enforce limits, this should never fail.
+ all_submitted = false;
+ package_state.Invalid(PackageValidationResult::PCKG_MEMPOOL_ERROR,
+ strprintf("BUG! Mempool ancestors or descendants were underestimated: %s",
+ ws.m_ptx->GetHash().ToString()));
+ }
+ // If we call LimitMempoolSize() for each individual Finalize(), the mempool will not take
+ // the transaction's descendant feerate into account because it hasn't seen them yet. Also,
+ // we risk evicting a transaction that a subsequent package transaction depends on. Instead,
+ // allow the mempool to temporarily bypass limits, the maximum package size) while
+ // submitting transactions individually and then trim at the very end.
+ if (!Finalize(args, ws)) {
+ results.emplace(ws.m_ptx->GetWitnessHash(), MempoolAcceptResult::Failure(ws.m_state));
+ // Since LimitMempoolSize() won't be called, this should never fail.
+ all_submitted = false;
+ package_state.Invalid(PackageValidationResult::PCKG_MEMPOOL_ERROR,
+ strprintf("BUG! Adding to mempool failed: %s", ws.m_ptx->GetHash().ToString()));
+ }
+ }
+
+ // It may or may not be the case that all the transactions made it into the mempool. Regardless,
+ // make sure we haven't exceeded max mempool size.
+ LimitMempoolSize(m_pool, m_active_chainstate.CoinsTip(),
+ gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000,
+ std::chrono::hours{gArgs.GetIntArg("-mempoolexpiry", DEFAULT_MEMPOOL_EXPIRY)});
+
+ // Find the wtxids of the transactions that made it into the mempool. Allow partial submission,
+ // but don't report success unless they all made it into the mempool.
+ for (Workspace& ws : workspaces) {
+ if (m_pool.exists(GenTxid::Wtxid(ws.m_ptx->GetWitnessHash()))) {
+ results.emplace(ws.m_ptx->GetWitnessHash(),
+ MempoolAcceptResult::Success(std::move(ws.m_replaced_transactions), ws.m_vsize, ws.m_base_fees));
+ GetMainSignals().TransactionAddedToMempool(ws.m_ptx, m_pool.GetAndIncrementSequence());
+ } else {
+ all_submitted = false;
+ ws.m_state.Invalid(TxValidationResult::TX_MEMPOOL_POLICY, "mempool full");
+ results.emplace(ws.m_ptx->GetWitnessHash(), MempoolAcceptResult::Failure(ws.m_state));
+ }
+ }
+ return all_submitted;
+}
+
MempoolAcceptResult MemPoolAccept::AcceptSingleTransaction(const CTransactionRef& ptx, ATMPArgs& args)
{
AssertLockHeld(cs_main);
@@ -1060,208 +1157,258 @@ MempoolAcceptResult MemPoolAccept::AcceptSingleTransaction(const CTransactionRef
Workspace ws(ptx);
- if (!PreChecks(args, ws)) return MempoolAcceptResult(ws.m_state);
+ if (!PreChecks(args, ws)) return MempoolAcceptResult::Failure(ws.m_state);
- // Only compute the precomputed transaction data if we need to verify
- // scripts (ie, other policy checks pass). We perform the inexpensive
- // checks first and avoid hashing and signature verification unless those
- // checks pass, to mitigate CPU exhaustion denial-of-service attacks.
- PrecomputedTransactionData txdata;
+ if (m_rbf && !ReplacementChecks(ws)) return MempoolAcceptResult::Failure(ws.m_state);
- if (!PolicyScriptChecks(args, ws, txdata)) return MempoolAcceptResult(ws.m_state);
+ // Perform the inexpensive checks first and avoid hashing and signature verification unless
+ // those checks pass, to mitigate CPU exhaustion denial-of-service attacks.
+ if (!PolicyScriptChecks(args, ws)) return MempoolAcceptResult::Failure(ws.m_state);
- if (!ConsensusScriptChecks(args, ws, txdata)) return MempoolAcceptResult(ws.m_state);
+ if (!ConsensusScriptChecks(args, ws)) return MempoolAcceptResult::Failure(ws.m_state);
// Tx was accepted, but not added
if (args.m_test_accept) {
- return MempoolAcceptResult(std::move(ws.m_replaced_transactions), ws.m_base_fees);
+ return MempoolAcceptResult::Success(std::move(ws.m_replaced_transactions), ws.m_vsize, ws.m_base_fees);
}
- if (!Finalize(args, ws)) return MempoolAcceptResult(ws.m_state);
+ if (!Finalize(args, ws)) return MempoolAcceptResult::Failure(ws.m_state);
GetMainSignals().TransactionAddedToMempool(ptx, m_pool.GetAndIncrementSequence());
- return MempoolAcceptResult(std::move(ws.m_replaced_transactions), ws.m_base_fees);
+ return MempoolAcceptResult::Success(std::move(ws.m_replaced_transactions), ws.m_vsize, ws.m_base_fees);
}
-} // anon namespace
-
-/** (try to) add transaction to memory pool with a specified acceptance time **/
-static MempoolAcceptResult AcceptToMemoryPoolWithTime(const CChainParams& chainparams, CTxMemPool& pool,
- CChainState& active_chainstate,
- const CTransactionRef &tx, int64_t nAcceptTime,
- bool bypass_limits, bool test_accept)
- EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+PackageMempoolAcceptResult MemPoolAccept::AcceptMultipleTransactions(const std::vector<CTransactionRef>& txns, ATMPArgs& args)
{
- std::vector<COutPoint> coins_to_uncache;
- MemPoolAccept::ATMPArgs args { chainparams, nAcceptTime, bypass_limits, coins_to_uncache, test_accept };
-
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
- const MempoolAcceptResult result = MemPoolAccept(pool, active_chainstate).AcceptSingleTransaction(tx, args);
- if (result.m_result_type != MempoolAcceptResult::ResultType::VALID) {
- // Remove coins that were not present in the coins cache before calling ATMPW;
- // this is to prevent memory DoS in case we receive a large number of
- // invalid transactions that attempt to overrun the in-memory coins cache
- // (`CCoinsViewCache::cacheCoins`).
+ AssertLockHeld(cs_main);
- for (const COutPoint& hashTx : coins_to_uncache)
- active_chainstate.CoinsTip().Uncache(hashTx);
- }
- // After we've (potentially) uncached entries, ensure our coins cache is still within its size limits
- BlockValidationState state_dummy;
- active_chainstate.FlushStateToDisk(chainparams, state_dummy, FlushStateMode::PERIODIC);
- return result;
-}
+ // These context-free package limits can be done before taking the mempool lock.
+ PackageValidationState package_state;
+ if (!CheckPackage(txns, package_state)) return PackageMempoolAcceptResult(package_state, {});
-MempoolAcceptResult AcceptToMemoryPool(CChainState& active_chainstate, CTxMemPool& pool, const CTransactionRef& tx,
- bool bypass_limits, bool test_accept)
-{
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
- return AcceptToMemoryPoolWithTime(Params(), pool, active_chainstate, tx, GetTime(), bypass_limits, test_accept);
-}
+ std::vector<Workspace> workspaces{};
+ workspaces.reserve(txns.size());
+ std::transform(txns.cbegin(), txns.cend(), std::back_inserter(workspaces),
+ [](const auto& tx) { return Workspace(tx); });
+ std::map<const uint256, const MempoolAcceptResult> results;
-CTransactionRef GetTransaction(const CBlockIndex* const block_index, const CTxMemPool* const mempool, const uint256& hash, const Consensus::Params& consensusParams, uint256& hashBlock)
-{
- LOCK(cs_main);
+ LOCK(m_pool.cs);
- if (block_index) {
- CBlock block;
- if (ReadBlockFromDisk(block, block_index, consensusParams)) {
- for (const auto& tx : block.vtx) {
- if (tx->GetHash() == hash) {
- hashBlock = block_index->GetBlockHash();
- return tx;
- }
- }
+ // Do all PreChecks first and fail fast to avoid running expensive script checks when unnecessary.
+ for (Workspace& ws : workspaces) {
+ if (!PreChecks(args, ws)) {
+ package_state.Invalid(PackageValidationResult::PCKG_TX, "transaction failed");
+ // Exit early to avoid doing pointless work. Update the failed tx result; the rest are unfinished.
+ results.emplace(ws.m_ptx->GetWitnessHash(), MempoolAcceptResult::Failure(ws.m_state));
+ return PackageMempoolAcceptResult(package_state, std::move(results));
}
- return nullptr;
+ // Make the coins created by this transaction available for subsequent transactions in the
+ // package to spend. Since we already checked conflicts in the package and we don't allow
+ // replacements, we don't need to track the coins spent. Note that this logic will need to be
+ // updated if package replace-by-fee is allowed in the future.
+ assert(!args.m_allow_bip125_replacement);
+ m_viewmempool.PackageAddTransaction(ws.m_ptx);
}
- if (mempool) {
- CTransactionRef ptx = mempool->get(hash);
- if (ptx) return ptx;
+
+ // Apply package mempool ancestor/descendant limits. Skip if there is only one transaction,
+ // because it's unnecessary. Also, CPFP carve out can increase the limit for individual
+ // transactions, but this exemption is not extended to packages in CheckPackageLimits().
+ std::string err_string;
+ if (txns.size() > 1 && !PackageMempoolChecks(txns, package_state)) {
+ return PackageMempoolAcceptResult(package_state, std::move(results));
}
- if (g_txindex) {
- CTransactionRef tx;
- if (g_txindex->FindTx(hash, hashBlock, tx)) return tx;
+
+ for (Workspace& ws : workspaces) {
+ if (!PolicyScriptChecks(args, ws)) {
+ // Exit early to avoid doing pointless work. Update the failed tx result; the rest are unfinished.
+ package_state.Invalid(PackageValidationResult::PCKG_TX, "transaction failed");
+ results.emplace(ws.m_ptx->GetWitnessHash(), MempoolAcceptResult::Failure(ws.m_state));
+ return PackageMempoolAcceptResult(package_state, std::move(results));
+ }
+ if (args.m_test_accept) {
+ // When test_accept=true, transactions that pass PolicyScriptChecks are valid because there are
+ // no further mempool checks (passing PolicyScriptChecks implies passing ConsensusScriptChecks).
+ results.emplace(ws.m_ptx->GetWitnessHash(),
+ MempoolAcceptResult::Success(std::move(ws.m_replaced_transactions),
+ ws.m_vsize, ws.m_base_fees));
+ }
}
- return nullptr;
-}
-//////////////////////////////////////////////////////////////////////////////
-//
-// CBlock and CBlockIndex
-//
+ if (args.m_test_accept) return PackageMempoolAcceptResult(package_state, std::move(results));
-static bool WriteBlockToDisk(const CBlock& block, FlatFilePos& pos, const CMessageHeader::MessageStartChars& messageStart)
-{
- // Open history file to append
- CAutoFile fileout(OpenBlockFile(pos), SER_DISK, CLIENT_VERSION);
- if (fileout.IsNull())
- return error("WriteBlockToDisk: OpenBlockFile failed");
-
- // Write index header
- unsigned int nSize = GetSerializeSize(block, fileout.GetVersion());
- fileout << messageStart << nSize;
-
- // Write block
- long fileOutPos = ftell(fileout.Get());
- if (fileOutPos < 0)
- return error("WriteBlockToDisk: ftell failed");
- pos.nPos = (unsigned int)fileOutPos;
- fileout << block;
+ if (!SubmitPackage(args, workspaces, package_state, results)) {
+ // PackageValidationState filled in by SubmitPackage().
+ return PackageMempoolAcceptResult(package_state, std::move(results));
+ }
- return true;
+ return PackageMempoolAcceptResult(package_state, std::move(results));
}
-bool ReadBlockFromDisk(CBlock& block, const FlatFilePos& pos, const Consensus::Params& consensusParams)
+PackageMempoolAcceptResult MemPoolAccept::AcceptPackage(const Package& package, ATMPArgs& args)
{
- block.SetNull();
-
- // Open history file to read
- CAutoFile filein(OpenBlockFile(pos, true), SER_DISK, CLIENT_VERSION);
- if (filein.IsNull())
- return error("ReadBlockFromDisk: OpenBlockFile failed for %s", pos.ToString());
-
- // Read block
- try {
- filein >> block;
- }
- catch (const std::exception& e) {
- return error("%s: Deserialize or I/O error - %s at %s", __func__, e.what(), pos.ToString());
+ AssertLockHeld(cs_main);
+ PackageValidationState package_state;
+
+ // Check that the package is well-formed. If it isn't, we won't try to validate any of the
+ // transactions and thus won't return any MempoolAcceptResults, just a package-wide error.
+
+ // Context-free package checks.
+ if (!CheckPackage(package, package_state)) return PackageMempoolAcceptResult(package_state, {});
+
+ // All transactions in the package must be a parent of the last transaction. This is just an
+ // opportunity for us to fail fast on a context-free check without taking the mempool lock.
+ if (!IsChildWithParents(package)) {
+ package_state.Invalid(PackageValidationResult::PCKG_POLICY, "package-not-child-with-parents");
+ return PackageMempoolAcceptResult(package_state, {});
+ }
+
+ // IsChildWithParents() guarantees the package is > 1 transactions.
+ assert(package.size() > 1);
+ // The package must be 1 child with all of its unconfirmed parents. The package is expected to
+ // be sorted, so the last transaction is the child.
+ const auto& child = package.back();
+ std::unordered_set<uint256, SaltedTxidHasher> unconfirmed_parent_txids;
+ std::transform(package.cbegin(), package.cend() - 1,
+ std::inserter(unconfirmed_parent_txids, unconfirmed_parent_txids.end()),
+ [](const auto& tx) { return tx->GetHash(); });
+
+ // All child inputs must refer to a preceding package transaction or a confirmed UTXO. The only
+ // way to verify this is to look up the child's inputs in our current coins view (not including
+ // mempool), and enforce that all parents not present in the package be available at chain tip.
+ // Since this check can bring new coins into the coins cache, keep track of these coins and
+ // uncache them if we don't end up submitting this package to the mempool.
+ const CCoinsViewCache& coins_tip_cache = m_active_chainstate.CoinsTip();
+ for (const auto& input : child->vin) {
+ if (!coins_tip_cache.HaveCoinInCache(input.prevout)) {
+ args.m_coins_to_uncache.push_back(input.prevout);
+ }
+ }
+ // Using the MemPoolAccept m_view cache allows us to look up these same coins faster later.
+ // This should be connecting directly to CoinsTip, not to m_viewmempool, because we specifically
+ // require inputs to be confirmed if they aren't in the package.
+ m_view.SetBackend(m_active_chainstate.CoinsTip());
+ const auto package_or_confirmed = [this, &unconfirmed_parent_txids](const auto& input) {
+ return unconfirmed_parent_txids.count(input.prevout.hash) > 0 || m_view.HaveCoin(input.prevout);
+ };
+ if (!std::all_of(child->vin.cbegin(), child->vin.cend(), package_or_confirmed)) {
+ package_state.Invalid(PackageValidationResult::PCKG_POLICY, "package-not-child-with-unconfirmed-parents");
+ return PackageMempoolAcceptResult(package_state, {});
}
+ // Protect against bugs where we pull more inputs from disk that miss being added to
+ // coins_to_uncache. The backend will be connected again when needed in PreChecks.
+ m_view.SetBackend(m_dummy);
- // Check the header
- if (!CheckProofOfWork(block.GetHash(), block.nBits, consensusParams))
- return error("ReadBlockFromDisk: Errors in block header at %s", pos.ToString());
-
- // Signet only: check block solution
- if (consensusParams.signet_blocks && !CheckSignetBlockSolution(block, consensusParams)) {
- return error("ReadBlockFromDisk: Errors in block solution at %s", pos.ToString());
+ LOCK(m_pool.cs);
+ std::map<const uint256, const MempoolAcceptResult> results;
+ // Node operators are free to set their mempool policies however they please, nodes may receive
+ // transactions in different orders, and malicious counterparties may try to take advantage of
+ // policy differences to pin or delay propagation of transactions. As such, it's possible for
+ // some package transaction(s) to already be in the mempool, and we don't want to reject the
+ // entire package in that case (as that could be a censorship vector). De-duplicate the
+ // transactions that are already in the mempool, and only call AcceptMultipleTransactions() with
+ // the new transactions. This ensures we don't double-count transaction counts and sizes when
+ // checking ancestor/descendant limits, or double-count transaction fees for fee-related policy.
+ std::vector<CTransactionRef> txns_new;
+ for (const auto& tx : package) {
+ const auto& wtxid = tx->GetWitnessHash();
+ const auto& txid = tx->GetHash();
+ // There are 3 possibilities: already in mempool, same-txid-diff-wtxid already in mempool,
+ // or not in mempool. An already confirmed tx is treated as one not in mempool, because all
+ // we know is that the inputs aren't available.
+ if (m_pool.exists(GenTxid::Wtxid(wtxid))) {
+ // Exact transaction already exists in the mempool.
+ auto iter = m_pool.GetIter(wtxid);
+ assert(iter != std::nullopt);
+ results.emplace(wtxid, MempoolAcceptResult::MempoolTx(iter.value()->GetTxSize(), iter.value()->GetFee()));
+ } else if (m_pool.exists(GenTxid::Txid(txid))) {
+ // Transaction with the same non-witness data but different witness (same txid,
+ // different wtxid) already exists in the mempool.
+ //
+ // We don't allow replacement transactions right now, so just swap the package
+ // transaction for the mempool one. Note that we are ignoring the validity of the
+ // package transaction passed in.
+ // TODO: allow witness replacement in packages.
+ auto iter = m_pool.GetIter(txid);
+ assert(iter != std::nullopt);
+ // Provide the wtxid of the mempool tx so that the caller can look it up in the mempool.
+ results.emplace(wtxid, MempoolAcceptResult::MempoolTxDifferentWitness(iter.value()->GetTx().GetWitnessHash()));
+ } else {
+ // Transaction does not already exist in the mempool.
+ txns_new.push_back(tx);
+ }
}
- return true;
+ // Nothing to do if the entire package has already been submitted.
+ if (txns_new.empty()) return PackageMempoolAcceptResult(package_state, std::move(results));
+ // Validate the (deduplicated) transactions as a package.
+ auto submission_result = AcceptMultipleTransactions(txns_new, args);
+ // Include already-in-mempool transaction results in the final result.
+ for (const auto& [wtxid, mempoolaccept_res] : results) {
+ submission_result.m_tx_results.emplace(wtxid, mempoolaccept_res);
+ }
+ return submission_result;
}
-bool ReadBlockFromDisk(CBlock& block, const CBlockIndex* pindex, const Consensus::Params& consensusParams)
+} // anon namespace
+
+MempoolAcceptResult AcceptToMemoryPool(CChainState& active_chainstate, const CTransactionRef& tx,
+ int64_t accept_time, bool bypass_limits, bool test_accept)
+ EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
- FlatFilePos blockPos;
- {
- LOCK(cs_main);
- blockPos = pindex->GetBlockPos();
- }
+ AssertLockHeld(::cs_main);
+ const CChainParams& chainparams{active_chainstate.m_params};
+ assert(active_chainstate.GetMempool() != nullptr);
+ CTxMemPool& pool{*active_chainstate.GetMempool()};
- if (!ReadBlockFromDisk(block, blockPos, consensusParams))
- return false;
- if (block.GetHash() != pindex->GetBlockHash())
- return error("ReadBlockFromDisk(CBlock&, CBlockIndex*): GetHash() doesn't match index for %s at %s",
- pindex->ToString(), pindex->GetBlockPos().ToString());
- return true;
-}
+ std::vector<COutPoint> coins_to_uncache;
+ auto args = MemPoolAccept::ATMPArgs::SingleAccept(chainparams, accept_time, bypass_limits, coins_to_uncache, test_accept);
+ const MempoolAcceptResult result = MemPoolAccept(pool, active_chainstate).AcceptSingleTransaction(tx, args);
+ if (result.m_result_type != MempoolAcceptResult::ResultType::VALID) {
+ // Remove coins that were not present in the coins cache before calling
+ // AcceptSingleTransaction(); this is to prevent memory DoS in case we receive a large
+ // number of invalid transactions that attempt to overrun the in-memory coins cache
+ // (`CCoinsViewCache::cacheCoins`).
-bool ReadRawBlockFromDisk(std::vector<uint8_t>& block, const FlatFilePos& pos, const CMessageHeader::MessageStartChars& message_start)
-{
- FlatFilePos hpos = pos;
- hpos.nPos -= 8; // Seek back 8 bytes for meta header
- CAutoFile filein(OpenBlockFile(hpos, true), SER_DISK, CLIENT_VERSION);
- if (filein.IsNull()) {
- return error("%s: OpenBlockFile failed for %s", __func__, pos.ToString());
+ for (const COutPoint& hashTx : coins_to_uncache)
+ active_chainstate.CoinsTip().Uncache(hashTx);
}
+ // After we've (potentially) uncached entries, ensure our coins cache is still within its size limits
+ BlockValidationState state_dummy;
+ active_chainstate.FlushStateToDisk(state_dummy, FlushStateMode::PERIODIC);
+ return result;
+}
- try {
- CMessageHeader::MessageStartChars blk_start;
- unsigned int blk_size;
-
- filein >> blk_start >> blk_size;
+PackageMempoolAcceptResult ProcessNewPackage(CChainState& active_chainstate, CTxMemPool& pool,
+ const Package& package, bool test_accept)
+{
+ AssertLockHeld(cs_main);
+ assert(!package.empty());
+ assert(std::all_of(package.cbegin(), package.cend(), [](const auto& tx){return tx != nullptr;}));
- if (memcmp(blk_start, message_start, CMessageHeader::MESSAGE_START_SIZE)) {
- return error("%s: Block magic mismatch for %s: %s versus expected %s", __func__, pos.ToString(),
- HexStr(blk_start),
- HexStr(message_start));
+ std::vector<COutPoint> coins_to_uncache;
+ const CChainParams& chainparams = Params();
+ const auto result = [&]() EXCLUSIVE_LOCKS_REQUIRED(cs_main) {
+ AssertLockHeld(cs_main);
+ if (test_accept) {
+ auto args = MemPoolAccept::ATMPArgs::PackageTestAccept(chainparams, GetTime(), coins_to_uncache);
+ return MemPoolAccept(pool, active_chainstate).AcceptMultipleTransactions(package, args);
+ } else {
+ auto args = MemPoolAccept::ATMPArgs::PackageChildWithParents(chainparams, GetTime(), coins_to_uncache);
+ return MemPoolAccept(pool, active_chainstate).AcceptPackage(package, args);
}
+ }();
- if (blk_size > MAX_SIZE) {
- return error("%s: Block data is larger than maximum deserialization size for %s: %s versus %s", __func__, pos.ToString(),
- blk_size, MAX_SIZE);
+ // Uncache coins pertaining to transactions that were not submitted to the mempool.
+ if (test_accept || result.m_state.IsInvalid()) {
+ for (const COutPoint& hashTx : coins_to_uncache) {
+ active_chainstate.CoinsTip().Uncache(hashTx);
}
-
- block.resize(blk_size); // Zeroing of memory is intentional here
- filein.read((char*)block.data(), blk_size);
- } catch(const std::exception& e) {
- return error("%s: Read from block file failed: %s for %s", __func__, e.what(), pos.ToString());
}
-
- return true;
-}
-
-bool ReadRawBlockFromDisk(std::vector<uint8_t>& block, const CBlockIndex* pindex, const CMessageHeader::MessageStartChars& message_start)
-{
- FlatFilePos block_pos;
- {
- LOCK(cs_main);
- block_pos = pindex->GetBlockPos();
- }
-
- return ReadRawBlockFromDisk(block, block_pos, message_start);
+ // Ensure the coins cache is still within limits.
+ BlockValidationState state_dummy;
+ active_chainstate.FlushStateToDisk(state_dummy, FlushStateMode::PERIODIC);
+ return result;
}
CAmount GetBlockSubsidy(int nHeight, const Consensus::Params& consensusParams)
@@ -1282,17 +1429,24 @@ CoinsViews::CoinsViews(
size_t cache_size_bytes,
bool in_memory,
bool should_wipe) : m_dbview(
- GetDataDir() / ldb_name, cache_size_bytes, in_memory, should_wipe),
+ gArgs.GetDataDirNet() / ldb_name, cache_size_bytes, in_memory, should_wipe),
m_catcherview(&m_dbview) {}
void CoinsViews::InitCache()
{
- m_cacheview = MakeUnique<CCoinsViewCache>(&m_catcherview);
+ AssertLockHeld(::cs_main);
+ m_cacheview = std::make_unique<CCoinsViewCache>(&m_catcherview);
}
-CChainState::CChainState(CTxMemPool& mempool, BlockManager& blockman, uint256 from_snapshot_blockhash)
+CChainState::CChainState(
+ CTxMemPool* mempool,
+ BlockManager& blockman,
+ ChainstateManager& chainman,
+ std::optional<uint256> from_snapshot_blockhash)
: m_mempool(mempool),
m_blockman(blockman),
+ m_params(::Params()),
+ m_chainman(chainman),
m_from_snapshot_blockhash(from_snapshot_blockhash) {}
void CChainState::InitCoinsDB(
@@ -1301,16 +1455,17 @@ void CChainState::InitCoinsDB(
bool should_wipe,
std::string leveldb_name)
{
- if (!m_from_snapshot_blockhash.IsNull()) {
- leveldb_name += "_" + m_from_snapshot_blockhash.ToString();
+ if (m_from_snapshot_blockhash) {
+ leveldb_name += "_" + m_from_snapshot_blockhash->ToString();
}
- m_coins_views = MakeUnique<CoinsViews>(
+ m_coins_views = std::make_unique<CoinsViews>(
leveldb_name, cache_size_bytes, in_memory, should_wipe);
}
void CChainState::InitCoinsCache(size_t cache_size_bytes)
{
+ AssertLockHeld(::cs_main);
assert(m_coins_views != nullptr);
m_coinstip_cache_size_bytes = cache_size_bytes;
m_coins_views->InitCache();
@@ -1366,7 +1521,6 @@ static void AlertNotify(const std::string& strMessage)
void CChainState::CheckForkWarningConditions()
{
AssertLockHeld(cs_main);
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
// Before we get past initial download, we cannot reliably alert about forks
// (we assume we don't get stuck on a fork before finishing our initial sync)
@@ -1374,7 +1528,7 @@ void CChainState::CheckForkWarningConditions()
return;
}
- if (pindexBestInvalid && pindexBestInvalid->nChainWork > m_chain.Tip()->nChainWork + (GetBlockProof(*m_chain.Tip()) * 6)) {
+ if (m_chainman.m_best_invalid && m_chainman.m_best_invalid->nChainWork > m_chain.Tip()->nChainWork + (GetBlockProof(*m_chain.Tip()) * 6)) {
LogPrintf("%s: Warning: Found invalid chain at least ~6 blocks longer than our best chain.\nChain state database corruption likely.\n", __func__);
SetfLargeWorkInvalidChainFound(true);
} else {
@@ -1385,9 +1539,10 @@ void CChainState::CheckForkWarningConditions()
// Called both upon regular invalid block discovery *and* InvalidateBlock
void CChainState::InvalidChainFound(CBlockIndex* pindexNew)
{
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
- if (!pindexBestInvalid || pindexNew->nChainWork > pindexBestInvalid->nChainWork)
- pindexBestInvalid = pindexNew;
+ AssertLockHeld(cs_main);
+ if (!m_chainman.m_best_invalid || pindexNew->nChainWork > m_chainman.m_best_invalid->nChainWork) {
+ m_chainman.m_best_invalid = pindexNew;
+ }
if (pindexBestHeader != nullptr && pindexBestHeader->GetAncestor(pindexNew->nHeight) == pindexNew) {
pindexBestHeader = m_chain.Tip();
}
@@ -1404,12 +1559,14 @@ void CChainState::InvalidChainFound(CBlockIndex* pindexNew)
}
// Same as InvalidChainFound, above, except not called directly from InvalidateBlock,
-// which does its own setBlockIndexCandidates manageent.
-void CChainState::InvalidBlockFound(CBlockIndex *pindex, const BlockValidationState &state) {
+// which does its own setBlockIndexCandidates management.
+void CChainState::InvalidBlockFound(CBlockIndex* pindex, const BlockValidationState& state)
+{
+ AssertLockHeld(cs_main);
if (state.GetResult() != BlockValidationResult::BLOCK_MUTATED) {
pindex->nStatus |= BLOCK_FAILED_VALID;
- m_blockman.m_failed_blocks.insert(pindex);
- setDirtyBlockIndex.insert(pindex);
+ m_chainman.m_failed_blocks.insert(pindex);
+ m_blockman.m_dirty_blockindex.insert(pindex);
setBlockIndexCandidates.erase(pindex);
InvalidChainFound(pindex);
}
@@ -1430,27 +1587,12 @@ void UpdateCoins(const CTransaction& tx, CCoinsViewCache& inputs, CTxUndo &txund
AddCoins(inputs, tx, nHeight);
}
-void UpdateCoins(const CTransaction& tx, CCoinsViewCache& inputs, int nHeight)
-{
- CTxUndo txundo;
- UpdateCoins(tx, inputs, txundo, nHeight);
-}
-
bool CScriptCheck::operator()() {
const CScript &scriptSig = ptxTo->vin[nIn].scriptSig;
const CScriptWitness *witness = &ptxTo->vin[nIn].scriptWitness;
return VerifyScript(scriptSig, m_tx_out.scriptPubKey, witness, nFlags, CachingTransactionSignatureChecker(ptxTo, nIn, m_tx_out.nValue, cacheStore, *txdata), &error);
}
-int BlockManager::GetSpendHeight(const CCoinsViewCache& inputs)
-{
- AssertLockHeld(cs_main);
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(*this));
- CBlockIndex* pindexPrev = LookupBlockIndex(inputs.GetBestBlock());
- return pindexPrev->nHeight + 1;
-}
-
-
static CuckooCache::cache<uint256, SignatureCacheHasher> g_scriptExecutionCache;
static CSHA256 g_scriptExecutionCacheHasher;
@@ -1464,7 +1606,7 @@ void InitScriptExecutionCache() {
g_scriptExecutionCacheHasher.Write(nonce.begin(), 32);
// nMaxCacheSize is unsigned. If -maxsigcachesize is set to zero,
// setup_bytes creates the minimum possible cache (2 elements).
- size_t nMaxCacheSize = std::min(std::max((int64_t)0, gArgs.GetArg("-maxsigcachesize", DEFAULT_MAX_SIG_CACHE_SIZE) / 2), MAX_MAX_SIG_CACHE_SIZE) * ((size_t) 1 << 20);
+ size_t nMaxCacheSize = std::min(std::max((int64_t)0, gArgs.GetIntArg("-maxsigcachesize", DEFAULT_MAX_SIG_CACHE_SIZE) / 2), MAX_MAX_SIG_CACHE_SIZE) * ((size_t) 1 << 20);
size_t nElems = g_scriptExecutionCache.setup_bytes(nMaxCacheSize);
LogPrintf("Using %zu MiB out of %zu/2 requested for script execution cache, able to store %zu elements\n",
(nElems*sizeof(uint256)) >>20, (nMaxCacheSize*2)>>20, nElems);
@@ -1577,78 +1719,7 @@ bool CheckInputScripts(const CTransaction& tx, TxValidationState& state,
return true;
}
-static bool UndoWriteToDisk(const CBlockUndo& blockundo, FlatFilePos& pos, const uint256& hashBlock, const CMessageHeader::MessageStartChars& messageStart)
-{
- // Open history file to append
- CAutoFile fileout(OpenUndoFile(pos), SER_DISK, CLIENT_VERSION);
- if (fileout.IsNull())
- return error("%s: OpenUndoFile failed", __func__);
-
- // Write index header
- unsigned int nSize = GetSerializeSize(blockundo, fileout.GetVersion());
- fileout << messageStart << nSize;
-
- // Write undo data
- long fileOutPos = ftell(fileout.Get());
- if (fileOutPos < 0)
- return error("%s: ftell failed", __func__);
- pos.nPos = (unsigned int)fileOutPos;
- fileout << blockundo;
-
- // calculate & write checksum
- CHashWriter hasher(SER_GETHASH, PROTOCOL_VERSION);
- hasher << hashBlock;
- hasher << blockundo;
- fileout << hasher.GetHash();
-
- return true;
-}
-
-bool UndoReadFromDisk(CBlockUndo& blockundo, const CBlockIndex* pindex)
-{
- FlatFilePos pos = pindex->GetUndoPos();
- if (pos.IsNull()) {
- return error("%s: no undo data available", __func__);
- }
-
- // Open history file to read
- CAutoFile filein(OpenUndoFile(pos, true), SER_DISK, CLIENT_VERSION);
- if (filein.IsNull())
- return error("%s: OpenUndoFile failed", __func__);
-
- // Read block
- uint256 hashChecksum;
- CHashVerifier<CAutoFile> verifier(&filein); // We need a CHashVerifier as reserializing may lose data
- try {
- verifier << pindex->pprev->GetBlockHash();
- verifier >> blockundo;
- filein >> hashChecksum;
- }
- catch (const std::exception& e) {
- return error("%s: Deserialize or I/O error - %s", __func__, e.what());
- }
-
- // Verify checksum
- if (hashChecksum != verifier.GetHash())
- return error("%s: Checksum mismatch", __func__);
-
- return true;
-}
-
-/** Abort with a message */
-static bool AbortNode(const std::string& strMessage, bilingual_str user_message = bilingual_str())
-{
- SetMiscWarning(Untranslated(strMessage));
- LogPrintf("*** %s\n", strMessage);
- if (user_message.empty()) {
- user_message = _("A fatal internal error occurred, see debug.log for details");
- }
- AbortError(user_message);
- StartShutdown();
- return false;
-}
-
-static bool AbortNode(BlockValidationState& state, const std::string& strMessage, const bilingual_str& userMessage = bilingual_str())
+bool AbortNode(BlockValidationState& state, const std::string& strMessage, const bilingual_str& userMessage)
{
AbortNode(strMessage, userMessage);
return state.Error(strMessage);
@@ -1693,6 +1764,7 @@ int ApplyTxInUndo(Coin&& undo, CCoinsViewCache& view, const COutPoint& out)
* When FAILED is returned, view is left in an indeterminate state. */
DisconnectResult CChainState::DisconnectBlock(const CBlock& block, const CBlockIndex* pindex, CCoinsViewCache& view)
{
+ AssertLockHeld(::cs_main);
bool fClean = true;
CBlockUndo blockUndo;
@@ -1732,8 +1804,9 @@ DisconnectResult CChainState::DisconnectBlock(const CBlock& block, const CBlockI
error("DisconnectBlock(): transaction and undo data inconsistent");
return DISCONNECT_FAILED;
}
- for (unsigned int j = tx.vin.size(); j-- > 0;) {
- const COutPoint &out = tx.vin[j].prevout;
+ for (unsigned int j = tx.vin.size(); j > 0;) {
+ --j;
+ const COutPoint& out = tx.vin[j].prevout;
int res = ApplyTxInUndo(std::move(txundo.vprevout[j]), view, out);
if (res == DISCONNECT_FAILED) return DISCONNECT_FAILED;
fClean = fClean && res != DISCONNECT_UNCLEAN;
@@ -1748,55 +1821,6 @@ DisconnectResult CChainState::DisconnectBlock(const CBlock& block, const CBlockI
return fClean ? DISCONNECT_OK : DISCONNECT_UNCLEAN;
}
-static void FlushUndoFile(int block_file, bool finalize = false)
-{
- FlatFilePos undo_pos_old(block_file, vinfoBlockFile[block_file].nUndoSize);
- if (!UndoFileSeq().Flush(undo_pos_old, finalize)) {
- AbortNode("Flushing undo file to disk failed. This is likely the result of an I/O error.");
- }
-}
-
-static void FlushBlockFile(bool fFinalize = false, bool finalize_undo = false)
-{
- LOCK(cs_LastBlockFile);
- FlatFilePos block_pos_old(nLastBlockFile, vinfoBlockFile[nLastBlockFile].nSize);
- if (!BlockFileSeq().Flush(block_pos_old, fFinalize)) {
- AbortNode("Flushing block file to disk failed. This is likely the result of an I/O error.");
- }
- // we do not always flush the undo file, as the chain tip may be lagging behind the incoming blocks,
- // e.g. during IBD or a sync after a node going offline
- if (!fFinalize || finalize_undo) FlushUndoFile(nLastBlockFile, finalize_undo);
-}
-
-static bool FindUndoPos(BlockValidationState &state, int nFile, FlatFilePos &pos, unsigned int nAddSize);
-
-static bool WriteUndoDataForBlock(const CBlockUndo& blockundo, BlockValidationState& state, CBlockIndex* pindex, const CChainParams& chainparams)
-{
- // Write undo information to disk
- if (pindex->GetUndoPos().IsNull()) {
- FlatFilePos _pos;
- if (!FindUndoPos(state, pindex->nFile, _pos, ::GetSerializeSize(blockundo, CLIENT_VERSION) + 40))
- return error("ConnectBlock(): FindUndoPos failed");
- if (!UndoWriteToDisk(blockundo, _pos, pindex->pprev->GetBlockHash(), chainparams.MessageStart()))
- return AbortNode(state, "Failed to write undo data");
- // rev files are written in block height order, whereas blk files are written as blocks come in (often out of order)
- // we want to flush the rev (undo) file once we've written the last block, which is indicated by the last height
- // in the block file info as below; note that this does not catch the case where the undo writes are keeping up
- // with the block writes (usually when a synced up node is getting newly mined blocks) -- this case is caught in
- // the FindBlockPos function
- if (_pos.nFile < nLastBlockFile && static_cast<uint32_t>(pindex->nHeight) == vinfoBlockFile[_pos.nFile].nHeightLast) {
- FlushUndoFile(_pos.nFile, true);
- }
-
- // update nUndoPos in block index
- pindex->nUndoPos = _pos.nPos;
- pindex->nStatus |= BLOCK_HAVE_UNDO;
- setDirtyBlockIndex.insert(pindex);
- }
-
- return true;
-}
-
static CCheckQueue<CScriptCheck> scriptcheckqueue(128);
void StartScriptCheckWorkerThreads(int threads_num)
@@ -1809,23 +1833,6 @@ void StopScriptCheckWorkerThreads()
scriptcheckqueue.StopWorkerThreads();
}
-VersionBitsCache versionbitscache GUARDED_BY(cs_main);
-
-int32_t ComputeBlockVersion(const CBlockIndex* pindexPrev, const Consensus::Params& params)
-{
- LOCK(cs_main);
- int32_t nVersion = VERSIONBITS_TOP_BITS;
-
- for (int i = 0; i < (int)Consensus::MAX_VERSION_BITS_DEPLOYMENTS; i++) {
- ThresholdState state = VersionBitsState(pindexPrev, params, static_cast<Consensus::DeploymentPos>(i), versionbitscache);
- if (state == ThresholdState::LOCKED_IN || state == ThresholdState::STARTED) {
- nVersion |= VersionBitsMask(params, static_cast<Consensus::DeploymentPos>(i));
- }
- }
-
- return nVersion;
-}
-
/**
* Threshold condition checker that triggers when unknown versionbits are seen on the network.
*/
@@ -1847,24 +1854,14 @@ public:
return pindex->nHeight >= params.MinBIP9WarningHeight &&
((pindex->nVersion & VERSIONBITS_TOP_MASK) == VERSIONBITS_TOP_BITS) &&
((pindex->nVersion >> bit) & 1) != 0 &&
- ((ComputeBlockVersion(pindex->pprev, params) >> bit) & 1) == 0;
+ ((g_versionbitscache.ComputeBlockVersion(pindex->pprev, params) >> bit) & 1) == 0;
}
};
static ThresholdConditionCache warningcache[VERSIONBITS_NUM_BITS] GUARDED_BY(cs_main);
-// 0.13.0 was shipped with a segwit deployment defined for testnet, but not for
-// mainnet. We no longer need to support disabling the segwit deployment
-// except for testing purposes, due to limitations of the functional test
-// environment. See test/functional/p2p-segwit.py.
-static bool IsScriptWitnessEnabled(const Consensus::Params& params)
+static unsigned int GetBlockScriptFlags(const CBlockIndex* pindex, const Consensus::Params& consensusparams)
{
- return params.SegwitHeight != std::numeric_limits<int>::max();
-}
-
-static unsigned int GetBlockScriptFlags(const CBlockIndex* pindex, const Consensus::Params& consensusparams) EXCLUSIVE_LOCKS_REQUIRED(cs_main) {
- AssertLockHeld(cs_main);
-
unsigned int flags = SCRIPT_VERIFY_NONE;
// BIP16 didn't become active until Apr 1 2012 (on mainnet, and
@@ -1876,37 +1873,32 @@ static unsigned int GetBlockScriptFlags(const CBlockIndex* pindex, const Consens
pindex->phashBlock == nullptr || // this is a new candidate block, eg from TestBlockValidity()
*pindex->phashBlock != consensusparams.BIP16Exception) // this block isn't the historical exception
{
- flags |= SCRIPT_VERIFY_P2SH;
+ // Enforce WITNESS rules whenever P2SH is in effect
+ flags |= SCRIPT_VERIFY_P2SH | SCRIPT_VERIFY_WITNESS;
}
- // Enforce WITNESS rules whenever P2SH is in effect (and the segwit
- // deployment is defined).
- if (flags & SCRIPT_VERIFY_P2SH && IsScriptWitnessEnabled(consensusparams)) {
- flags |= SCRIPT_VERIFY_WITNESS;
- }
-
- // Start enforcing the DERSIG (BIP66) rule
- if (pindex->nHeight >= consensusparams.BIP66Height) {
+ // Enforce the DERSIG (BIP66) rule
+ if (DeploymentActiveAt(*pindex, consensusparams, Consensus::DEPLOYMENT_DERSIG)) {
flags |= SCRIPT_VERIFY_DERSIG;
}
- // Start enforcing CHECKLOCKTIMEVERIFY (BIP65) rule
- if (pindex->nHeight >= consensusparams.BIP65Height) {
+ // Enforce CHECKLOCKTIMEVERIFY (BIP65)
+ if (DeploymentActiveAt(*pindex, consensusparams, Consensus::DEPLOYMENT_CLTV)) {
flags |= SCRIPT_VERIFY_CHECKLOCKTIMEVERIFY;
}
- // Start enforcing BIP112 (CHECKSEQUENCEVERIFY)
- if (pindex->nHeight >= consensusparams.CSVHeight) {
+ // Enforce CHECKSEQUENCEVERIFY (BIP112)
+ if (DeploymentActiveAt(*pindex, consensusparams, Consensus::DEPLOYMENT_CSV)) {
flags |= SCRIPT_VERIFY_CHECKSEQUENCEVERIFY;
}
- // Start enforcing Taproot using versionbits logic.
- if (VersionBitsState(pindex->pprev, consensusparams, Consensus::DEPLOYMENT_TAPROOT, versionbitscache) == ThresholdState::ACTIVE) {
+ // Enforce Taproot (BIP340-BIP342)
+ if (DeploymentActiveAt(*pindex, consensusparams, Consensus::DEPLOYMENT_TAPROOT)) {
flags |= SCRIPT_VERIFY_TAPROOT;
}
- // Start enforcing BIP147 NULLDUMMY (activated simultaneously with segwit)
- if (IsWitnessEnabled(pindex->pprev, consensusparams)) {
+ // Enforce BIP147 NULLDUMMY (activated simultaneously with segwit)
+ if (DeploymentActiveAt(*pindex, consensusparams, Consensus::DEPLOYMENT_SEGWIT)) {
flags |= SCRIPT_VERIFY_NULLDUMMY;
}
@@ -1920,7 +1912,6 @@ static int64_t nTimeForks = 0;
static int64_t nTimeVerify = 0;
static int64_t nTimeConnect = 0;
static int64_t nTimeIndex = 0;
-static int64_t nTimeCallbacks = 0;
static int64_t nTimeTotal = 0;
static int64_t nBlocksTotal = 0;
@@ -1928,11 +1919,14 @@ static int64_t nBlocksTotal = 0;
* Validity checks that depend on the UTXO set are also done; ConnectBlock()
* can fail if those validity checks fail (among other reasons). */
bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state, CBlockIndex* pindex,
- CCoinsViewCache& view, const CChainParams& chainparams, bool fJustCheck)
+ CCoinsViewCache& view, bool fJustCheck)
{
AssertLockHeld(cs_main);
assert(pindex);
- assert(*pindex->phashBlock == block.GetHash());
+
+ uint256 block_hash{block.GetHash()};
+ assert(*pindex->phashBlock == block_hash);
+
int64_t nTimeStart = GetTimeMicros();
// Check it again in case a previous version let a bad block in
@@ -1942,13 +1936,13 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
// may have let in a block that violates the rule prior to updating the
// software, and we would NOT be enforcing the rule here. Fully solving
// upgrade from one software version to the next after a consensus rule
- // change is potentially tricky and issue-specific (see RewindBlockIndex()
- // for one general approach that was used for BIP 141 deployment).
+ // change is potentially tricky and issue-specific (see NeedsRedownload()
+ // for one approach that was used for BIP 141 deployment).
// Also, currently the rule against blocks more than 2 hours in the future
// is enforced in ContextualCheckBlockHeader(); we wouldn't want to
// re-enforce that rule here (at least until we make it impossible for
// GetAdjustedTime() to go backward).
- if (!CheckBlock(block, state, chainparams.GetConsensus(), !fJustCheck, !fJustCheck)) {
+ if (!CheckBlock(block, state, m_params.GetConsensus(), !fJustCheck, !fJustCheck)) {
if (state.GetResult() == BlockValidationResult::BLOCK_MUTATED) {
// We don't write down blocks to disk if they may have been
// corrupted, so this should be impossible unless we're having hardware
@@ -1966,7 +1960,7 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
// Special case for the genesis block, skipping connection of its transactions
// (its coinbase is unspendable)
- if (block.GetHash() == chainparams.GetConsensus().hashGenesisBlock) {
+ if (block_hash == m_params.GetConsensus().hashGenesisBlock) {
if (!fJustCheck)
view.SetBestBlock(pindex->GetBlockHash());
return true;
@@ -1998,7 +1992,7 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
// artificially set the default assumed verified block further back.
// The test against nMinimumChainWork prevents the skipping when denied access to any chain at
// least as good as the expected chain.
- fScriptChecks = (GetBlockProofEquivalentTime(*pindexBestHeader, *pindex, *pindexBestHeader, chainparams.GetConsensus()) <= 60 * 60 * 24 * 7 * 2);
+ fScriptChecks = (GetBlockProofEquivalentTime(*pindexBestHeader, *pindex, *pindexBestHeader, m_params.GetConsensus()) <= 60 * 60 * 24 * 7 * 2);
}
}
}
@@ -2012,8 +2006,6 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
// can be duplicated to remove the ability to spend the first instance -- even after
// being sent to another address.
// See BIP30, CVE-2012-1909, and http://r6.ca/blog/20120206T005236Z.html for more information.
- // This logic is not necessary for memory pool transactions, as AcceptToMemoryPool
- // already refuses previously-known transaction ids entirely.
// This rule was originally applied to all blocks with a timestamp after March 15, 2012, 0:00 UTC.
// Now that the whole chain is irreversibly beyond that time it is applied to all blocks except the
// two in the chain that violate it. This prevents exploiting the issue against nodes during their
@@ -2074,13 +2066,12 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
// another edge case to deal with.
// testnet3 has no blocks before the BIP34 height with indicated heights
- // post BIP34 before approximately height 486,000,000 and presumably will
- // be reset before it reaches block 1,983,702 and starts doing unnecessary
- // BIP30 checking again.
+ // post BIP34 before approximately height 486,000,000. After block
+ // 1,983,702 testnet3 starts doing unnecessary BIP30 checking again.
assert(pindex->pprev);
- CBlockIndex *pindexBIP34height = pindex->pprev->GetAncestor(chainparams.GetConsensus().BIP34Height);
+ CBlockIndex* pindexBIP34height = pindex->pprev->GetAncestor(m_params.GetConsensus().BIP34Height);
//Only continue to enforce if we're below BIP34 activation height or the block hash at that height doesn't correspond.
- fEnforceBIP30 = fEnforceBIP30 && (!pindexBIP34height || !(pindexBIP34height->GetBlockHash() == chainparams.GetConsensus().BIP34Hash));
+ fEnforceBIP30 = fEnforceBIP30 && (!pindexBIP34height || !(pindexBIP34height->GetBlockHash() == m_params.GetConsensus().BIP34Hash));
// TODO: Remove BIP30 checking from block height 1,983,702 on, once we have a
// consensus change that ensures coinbases at those heights can not
@@ -2096,14 +2087,14 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
}
}
- // Start enforcing BIP68 (sequence locks)
+ // Enforce BIP68 (sequence locks)
int nLockTimeFlags = 0;
- if (pindex->nHeight >= chainparams.GetConsensus().CSVHeight) {
+ if (DeploymentActiveAt(*pindex, m_params.GetConsensus(), Consensus::DEPLOYMENT_CSV)) {
nLockTimeFlags |= LOCKTIME_VERIFY_SEQUENCE;
}
// Get the script flags for this block
- unsigned int flags = GetBlockScriptFlags(pindex, chainparams.GetConsensus());
+ unsigned int flags = GetBlockScriptFlags(pindex, m_params.GetConsensus());
int64_t nTime2 = GetTimeMicros(); nTimeForks += nTime2 - nTime1;
LogPrint(BCLog::BENCH, " - Fork checks: %.2fms [%.2fs (%.2fms/blk)]\n", MILLI * (nTime2 - nTime1), nTimeForks * MICRO, nTimeForks * MILLI / nBlocksTotal);
@@ -2193,7 +2184,7 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
int64_t nTime3 = GetTimeMicros(); nTimeConnect += nTime3 - nTime2;
LogPrint(BCLog::BENCH, " - Connect %u transactions: %.2fms (%.3fms/tx, %.3fms/txin) [%.2fs (%.2fms/blk)]\n", (unsigned)block.vtx.size(), MILLI * (nTime3 - nTime2), MILLI * (nTime3 - nTime2) / block.vtx.size(), nInputs <= 1 ? 0 : MILLI * (nTime3 - nTime2) / (nInputs-1), nTimeConnect * MICRO, nTimeConnect * MILLI / nBlocksTotal);
- CAmount blockReward = nFees + GetBlockSubsidy(pindex->nHeight, chainparams.GetConsensus());
+ CAmount blockReward = nFees + GetBlockSubsidy(pindex->nHeight, m_params.GetConsensus());
if (block.vtx[0]->GetValueOut() > blockReward) {
LogPrintf("ERROR: ConnectBlock(): coinbase pays too much (actual=%d vs limit=%d)\n", block.vtx[0]->GetValueOut(), blockReward);
return state.Invalid(BlockValidationResult::BLOCK_CONSENSUS, "bad-cb-amount");
@@ -2209,12 +2200,13 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
if (fJustCheck)
return true;
- if (!WriteUndoDataForBlock(blockundo, state, pindex, chainparams))
+ if (!m_blockman.WriteUndoDataForBlock(blockundo, state, pindex, m_params)) {
return false;
+ }
if (!pindex->IsValid(BLOCK_VALID_SCRIPTS)) {
pindex->RaiseValidity(BLOCK_VALID_SCRIPTS);
- setDirtyBlockIndex.insert(pindex);
+ m_blockman.m_dirty_blockindex.insert(pindex);
}
assert(pindex->phashBlock);
@@ -2224,29 +2216,35 @@ bool CChainState::ConnectBlock(const CBlock& block, BlockValidationState& state,
int64_t nTime5 = GetTimeMicros(); nTimeIndex += nTime5 - nTime4;
LogPrint(BCLog::BENCH, " - Index writing: %.2fms [%.2fs (%.2fms/blk)]\n", MILLI * (nTime5 - nTime4), nTimeIndex * MICRO, nTimeIndex * MILLI / nBlocksTotal);
- int64_t nTime6 = GetTimeMicros(); nTimeCallbacks += nTime6 - nTime5;
- LogPrint(BCLog::BENCH, " - Callbacks: %.2fms [%.2fs (%.2fms/blk)]\n", MILLI * (nTime6 - nTime5), nTimeCallbacks * MICRO, nTimeCallbacks * MILLI / nBlocksTotal);
+ TRACE6(validation, block_connected,
+ block_hash.data(),
+ pindex->nHeight,
+ block.vtx.size(),
+ nInputs,
+ nSigOpsCost,
+ nTime5 - nTimeStart // in microseconds (µs)
+ );
return true;
}
-CoinsCacheSizeState CChainState::GetCoinsCacheSizeState(const CTxMemPool* tx_pool)
+CoinsCacheSizeState CChainState::GetCoinsCacheSizeState()
{
+ AssertLockHeld(::cs_main);
return this->GetCoinsCacheSizeState(
- tx_pool,
m_coinstip_cache_size_bytes,
- gArgs.GetArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000);
+ gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000);
}
CoinsCacheSizeState CChainState::GetCoinsCacheSizeState(
- const CTxMemPool* tx_pool,
size_t max_coins_cache_size_bytes,
size_t max_mempool_size_bytes)
{
- const int64_t nMempoolUsage = tx_pool ? tx_pool->DynamicMemoryUsage() : 0;
+ AssertLockHeld(::cs_main);
+ const int64_t nMempoolUsage = m_mempool ? m_mempool->DynamicMemoryUsage() : 0;
int64_t cacheSize = CoinsTip().DynamicMemoryUsage();
int64_t nTotalSpace =
- max_coins_cache_size_bytes + std::max<int64_t>(max_mempool_size_bytes - nMempoolUsage, 0);
+ max_coins_cache_size_bytes + std::max<int64_t>(int64_t(max_mempool_size_bytes) - nMempoolUsage, 0);
//! No need to periodic flush if at least this much space still available.
static constexpr int64_t MAX_BLOCK_COINSDB_USAGE_BYTES = 10 * 1024 * 1024; // 10MB
@@ -2263,7 +2261,6 @@ CoinsCacheSizeState CChainState::GetCoinsCacheSizeState(
}
bool CChainState::FlushStateToDisk(
- const CChainParams& chainparams,
BlockValidationState &state,
FlushStateMode mode,
int nManualPruneHeight)
@@ -2283,9 +2280,9 @@ bool CChainState::FlushStateToDisk(
bool fFlushForPrune = false;
bool fDoFullFlush = false;
- CoinsCacheSizeState cache_state = GetCoinsCacheSizeState(&m_mempool);
- LOCK(cs_LastBlockFile);
- if (fPruneMode && (fCheckForPruning || nManualPruneHeight > 0) && !fReindex) {
+ CoinsCacheSizeState cache_state = GetCoinsCacheSizeState();
+ LOCK(m_blockman.cs_LastBlockFile);
+ if (fPruneMode && (m_blockman.m_check_for_pruning || nManualPruneHeight > 0) && !fReindex) {
// make sure we don't prune above the blockfilterindexes bestblocks
// pruning is height-based
int last_prune = m_chain.Height(); // last height we can prune
@@ -2300,13 +2297,13 @@ bool CChainState::FlushStateToDisk(
} else {
LOG_TIME_MILLIS_WITH_CATEGORY("find files to prune", BCLog::BENCH);
- m_blockman.FindFilesToPrune(setFilesToPrune, chainparams.PruneAfterHeight(), m_chain.Height(), last_prune, IsInitialBlockDownload());
- fCheckForPruning = false;
+ m_blockman.FindFilesToPrune(setFilesToPrune, m_params.PruneAfterHeight(), m_chain.Height(), last_prune, IsInitialBlockDownload());
+ m_blockman.m_check_for_pruning = false;
}
if (!setFilesToPrune.empty()) {
fFlushForPrune = true;
if (!fHavePruned) {
- pblocktree->WriteFlag("prunedblockfiles", true);
+ m_blockman.m_block_tree_db->WriteFlag("prunedblockfiles", true);
fHavePruned = true;
}
}
@@ -2331,34 +2328,22 @@ bool CChainState::FlushStateToDisk(
fDoFullFlush = (mode == FlushStateMode::ALWAYS) || fCacheLarge || fCacheCritical || fPeriodicFlush || fFlushForPrune;
// Write blocks and block index to disk.
if (fDoFullFlush || fPeriodicWrite) {
- // Depend on nMinDiskSpace to ensure we can write block index
- if (!CheckDiskSpace(GetBlocksDir())) {
+ // Ensure we can write block index
+ if (!CheckDiskSpace(gArgs.GetBlocksDirPath())) {
return AbortNode(state, "Disk space is too low!", _("Disk space is too low!"));
}
{
LOG_TIME_MILLIS_WITH_CATEGORY("write block and undo data to disk", BCLog::BENCH);
// First make sure all block and undo data is flushed to disk.
- FlushBlockFile();
+ m_blockman.FlushBlockFile();
}
// Then update all block file information (which may refer to block and undo files).
{
LOG_TIME_MILLIS_WITH_CATEGORY("write block index to disk", BCLog::BENCH);
- std::vector<std::pair<int, const CBlockFileInfo*> > vFiles;
- vFiles.reserve(setDirtyFileInfo.size());
- for (std::set<int>::iterator it = setDirtyFileInfo.begin(); it != setDirtyFileInfo.end(); ) {
- vFiles.push_back(std::make_pair(*it, &vinfoBlockFile[*it]));
- setDirtyFileInfo.erase(it++);
- }
- std::vector<const CBlockIndex*> vBlocks;
- vBlocks.reserve(setDirtyBlockIndex.size());
- for (std::set<CBlockIndex*>::iterator it = setDirtyBlockIndex.begin(); it != setDirtyBlockIndex.end(); ) {
- vBlocks.push_back(*it);
- setDirtyBlockIndex.erase(it++);
- }
- if (!pblocktree->WriteBatchSync(vFiles, nLastBlockFile, vBlocks)) {
+ if (!m_blockman.WriteBlockIndexDB()) {
return AbortNode(state, "Failed to write to block index database");
}
}
@@ -2372,15 +2357,15 @@ bool CChainState::FlushStateToDisk(
}
// Flush best chain related state. This can only be done if the blocks / block index write was also done.
if (fDoFullFlush && !CoinsTip().GetBestBlock().IsNull()) {
- LOG_TIME_SECONDS(strprintf("write coins cache to disk (%d coins, %.2fkB)",
- coins_count, coins_mem_usage / 1000));
+ LOG_TIME_MILLIS_WITH_CATEGORY(strprintf("write coins cache to disk (%d coins, %.2fkB)",
+ coins_count, coins_mem_usage / 1000), BCLog::BENCH);
// Typical Coin structures on disk are around 48 bytes in size.
// Pushing a new one to the database can cause it to be written
// twice (once in the log, and once in the tables). This is already
// an overestimation, as most will delete an existing entry or
// overwrite one. Still, use a conservative safety factor of 2.
- if (!CheckDiskSpace(GetDataDir(), 48 * 2 * 2 * CoinsTip().GetCacheSize())) {
+ if (!CheckDiskSpace(gArgs.GetDataDirNet(), 48 * 2 * 2 * CoinsTip().GetCacheSize())) {
return AbortNode(state, "Disk space is too low!", _("Disk space is too low!"));
}
// Flush the chainstate (which may refer to block index entries).
@@ -2389,6 +2374,13 @@ bool CChainState::FlushStateToDisk(
nLastFlush = nNow;
full_flush_completed = true;
}
+ TRACE6(utxocache, flush,
+ (int64_t)(GetTimeMicros() - nNow.count()), // in microseconds (µs)
+ (u_int32_t)mode,
+ (u_int64_t)coins_count,
+ (u_int64_t)coins_mem_usage,
+ (bool)fFlushForPrune,
+ (bool)fDoFullFlush);
}
if (full_flush_completed) {
// Update best block in wallet (so we can detect restored wallets).
@@ -2400,20 +2392,19 @@ bool CChainState::FlushStateToDisk(
return true;
}
-void CChainState::ForceFlushStateToDisk() {
+void CChainState::ForceFlushStateToDisk()
+{
BlockValidationState state;
- const CChainParams& chainparams = Params();
- if (!this->FlushStateToDisk(chainparams, state, FlushStateMode::ALWAYS)) {
+ if (!this->FlushStateToDisk(state, FlushStateMode::ALWAYS)) {
LogPrintf("%s: failed to flush state (%s)\n", __func__, state.ToString());
}
}
-void CChainState::PruneAndFlush() {
+void CChainState::PruneAndFlush()
+{
BlockValidationState state;
- fCheckForPruning = true;
- const CChainParams& chainparams = Params();
-
- if (!this->FlushStateToDisk(chainparams, state, FlushStateMode::NONE)) {
+ m_blockman.m_check_for_pruning = true;
+ if (!this->FlushStateToDisk(state, FlushStateMode::NONE)) {
LogPrintf("%s: failed to flush state (%s)\n", __func__, state.ToString());
}
}
@@ -2435,12 +2426,47 @@ static void AppendWarning(bilingual_str& res, const bilingual_str& warn)
res += warn;
}
-/** Check warning conditions and do some notifications on new chain tip set. */
-static void UpdateTip(CTxMemPool& mempool, const CBlockIndex* pindexNew, const CChainParams& chainParams, CChainState& active_chainstate)
- EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
+static void UpdateTipLog(
+ const CCoinsViewCache& coins_tip,
+ const CBlockIndex* tip,
+ const CChainParams& params,
+ const std::string& func_name,
+ const std::string& prefix,
+ const std::string& warning_messages) EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
+{
+
+ AssertLockHeld(::cs_main);
+ LogPrintf("%s%s: new best=%s height=%d version=0x%08x log2_work=%f tx=%lu date='%s' progress=%f cache=%.1fMiB(%utxo)%s\n",
+ prefix, func_name,
+ tip->GetBlockHash().ToString(), tip->nHeight, tip->nVersion,
+ log(tip->nChainWork.getdouble()) / log(2.0), (unsigned long)tip->nChainTx,
+ FormatISO8601DateTime(tip->GetBlockTime()),
+ GuessVerificationProgress(params.TxData(), tip),
+ coins_tip.DynamicMemoryUsage() * (1.0 / (1 << 20)),
+ coins_tip.GetCacheSize(),
+ !warning_messages.empty() ? strprintf(" warning='%s'", warning_messages) : "");
+}
+
+void CChainState::UpdateTip(const CBlockIndex* pindexNew)
{
+ AssertLockHeld(::cs_main);
+ const auto& coins_tip = this->CoinsTip();
+
+ // The remainder of the function isn't relevant if we are not acting on
+ // the active chainstate, so return if need be.
+ if (this != &m_chainman.ActiveChainstate()) {
+ // Only log every so often so that we don't bury log messages at the tip.
+ constexpr int BACKGROUND_LOG_INTERVAL = 2000;
+ if (pindexNew->nHeight % BACKGROUND_LOG_INTERVAL == 0) {
+ UpdateTipLog(coins_tip, pindexNew, m_params, __func__, "[background validation] ", "");
+ }
+ return;
+ }
+
// New best block
- mempool.AddTransactionsUpdated(1);
+ if (m_mempool) {
+ m_mempool->AddTransactionsUpdated(1);
+ }
{
LOCK(g_best_block_mutex);
@@ -2449,14 +2475,13 @@ static void UpdateTip(CTxMemPool& mempool, const CBlockIndex* pindexNew, const C
}
bilingual_str warning_messages;
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
- if (!active_chainstate.IsInitialBlockDownload()) {
+ if (!this->IsInitialBlockDownload()) {
const CBlockIndex* pindex = pindexNew;
for (int bit = 0; bit < VERSIONBITS_NUM_BITS; bit++) {
WarningBitsConditionChecker checker(bit);
- ThresholdState state = checker.GetStateFor(pindex, chainParams.GetConsensus(), warningcache[bit]);
+ ThresholdState state = checker.GetStateFor(pindex, m_params.GetConsensus(), warningcache[bit]);
if (state == ThresholdState::ACTIVE || state == ThresholdState::LOCKED_IN) {
- const bilingual_str warning = strprintf(_("Warning: unknown new rules activated (versionbit %i)"), bit);
+ const bilingual_str warning = strprintf(_("Unknown new rules activated (versionbit %i)"), bit);
if (state == ThresholdState::ACTIVE) {
DoWarning(warning);
} else {
@@ -2465,37 +2490,32 @@ static void UpdateTip(CTxMemPool& mempool, const CBlockIndex* pindexNew, const C
}
}
}
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
- LogPrintf("%s: new best=%s height=%d version=0x%08x log2_work=%f tx=%lu date='%s' progress=%f cache=%.1fMiB(%utxo)%s\n", __func__,
- pindexNew->GetBlockHash().ToString(), pindexNew->nHeight, pindexNew->nVersion,
- log(pindexNew->nChainWork.getdouble())/log(2.0), (unsigned long)pindexNew->nChainTx,
- FormatISO8601DateTime(pindexNew->GetBlockTime()),
- GuessVerificationProgress(chainParams.TxData(), pindexNew), active_chainstate.CoinsTip().DynamicMemoryUsage() * (1.0 / (1<<20)), active_chainstate.CoinsTip().GetCacheSize(),
- !warning_messages.empty() ? strprintf(" warning='%s'", warning_messages.original) : "");
+ UpdateTipLog(coins_tip, pindexNew, m_params, __func__, "", warning_messages.original);
}
/** Disconnect m_chain's tip.
* After calling, the mempool will be in an inconsistent state, with
* transactions from disconnected blocks being added to disconnectpool. You
- * should make the mempool consistent again by calling UpdateMempoolForReorg.
+ * should make the mempool consistent again by calling MaybeUpdateMempoolForReorg.
* with cs_main held.
*
* If disconnectpool is nullptr, then no disconnected transactions are added to
* disconnectpool (note that the caller is responsible for mempool consistency
* in any case).
*/
-bool CChainState::DisconnectTip(BlockValidationState& state, const CChainParams& chainparams, DisconnectedBlockTransactions* disconnectpool)
+bool CChainState::DisconnectTip(BlockValidationState& state, DisconnectedBlockTransactions* disconnectpool)
{
AssertLockHeld(cs_main);
- AssertLockHeld(m_mempool.cs);
+ if (m_mempool) AssertLockHeld(m_mempool->cs);
CBlockIndex *pindexDelete = m_chain.Tip();
assert(pindexDelete);
// Read block from disk.
std::shared_ptr<CBlock> pblock = std::make_shared<CBlock>();
CBlock& block = *pblock;
- if (!ReadBlockFromDisk(block, pindexDelete, chainparams.GetConsensus()))
+ if (!ReadBlockFromDisk(block, pindexDelete, m_params.GetConsensus())) {
return error("DisconnectTip(): Failed to read block");
+ }
// Apply the block atomically to the chain state.
int64_t nStart = GetTimeMicros();
{
@@ -2508,10 +2528,11 @@ bool CChainState::DisconnectTip(BlockValidationState& state, const CChainParams&
}
LogPrint(BCLog::BENCH, "- Disconnect block: %.2fms\n", (GetTimeMicros() - nStart) * MILLI);
// Write the chain state to disk, if necessary.
- if (!FlushStateToDisk(chainparams, state, FlushStateMode::IF_NEEDED))
+ if (!FlushStateToDisk(state, FlushStateMode::IF_NEEDED)) {
return false;
+ }
- if (disconnectpool) {
+ if (disconnectpool && m_mempool) {
// Save transactions to re-add to mempool at end of reorg
for (auto it = block.vtx.rbegin(); it != block.vtx.rend(); ++it) {
disconnectpool->addTransaction(*it);
@@ -2519,14 +2540,14 @@ bool CChainState::DisconnectTip(BlockValidationState& state, const CChainParams&
while (disconnectpool->DynamicMemoryUsage() > MAX_DISCONNECTED_TX_POOL_SIZE * 1000) {
// Drop the earliest entry, and remove its children from the mempool.
auto it = disconnectpool->queuedTx.get<insertion_order>().begin();
- m_mempool.removeRecursive(**it, MemPoolRemovalReason::REORG);
+ m_mempool->removeRecursive(**it, MemPoolRemovalReason::REORG);
disconnectpool->removeEntry(it);
}
}
m_chain.SetTip(pindexDelete->pprev);
- UpdateTip(m_mempool, pindexDelete->pprev, chainparams, *this);
+ UpdateTip(pindexDelete->pprev);
// Let wallets know transactions went from 1-confirmed to
// 0-confirmed or conflicted:
GetMainSignals().BlockDisconnected(pblock, pindexDelete);
@@ -2585,10 +2606,10 @@ public:
*
* The block is added to connectTrace if connection succeeds.
*/
-bool CChainState::ConnectTip(BlockValidationState& state, const CChainParams& chainparams, CBlockIndex* pindexNew, const std::shared_ptr<const CBlock>& pblock, ConnectTrace& connectTrace, DisconnectedBlockTransactions &disconnectpool)
+bool CChainState::ConnectTip(BlockValidationState& state, CBlockIndex* pindexNew, const std::shared_ptr<const CBlock>& pblock, ConnectTrace& connectTrace, DisconnectedBlockTransactions& disconnectpool)
{
AssertLockHeld(cs_main);
- AssertLockHeld(m_mempool.cs);
+ if (m_mempool) AssertLockHeld(m_mempool->cs);
assert(pindexNew->pprev == m_chain.Tip());
// Read block from disk.
@@ -2596,8 +2617,9 @@ bool CChainState::ConnectTip(BlockValidationState& state, const CChainParams& ch
std::shared_ptr<const CBlock> pthisBlock;
if (!pblock) {
std::shared_ptr<CBlock> pblockNew = std::make_shared<CBlock>();
- if (!ReadBlockFromDisk(*pblockNew, pindexNew, chainparams.GetConsensus()))
+ if (!ReadBlockFromDisk(*pblockNew, pindexNew, m_params.GetConsensus())) {
return AbortNode(state, "Failed to read block");
+ }
pthisBlock = pblockNew;
} else {
pthisBlock = pblock;
@@ -2609,7 +2631,7 @@ bool CChainState::ConnectTip(BlockValidationState& state, const CChainParams& ch
LogPrint(BCLog::BENCH, " - Load block from disk: %.2fms [%.2fs]\n", (nTime2 - nTime1) * MILLI, nTimeReadFromDisk * MICRO);
{
CCoinsViewCache view(&CoinsTip());
- bool rv = ConnectBlock(blockConnecting, state, pindexNew, view, chainparams);
+ bool rv = ConnectBlock(blockConnecting, state, pindexNew, view);
GetMainSignals().BlockChecked(blockConnecting, state);
if (!rv) {
if (state.IsInvalid())
@@ -2625,16 +2647,19 @@ bool CChainState::ConnectTip(BlockValidationState& state, const CChainParams& ch
int64_t nTime4 = GetTimeMicros(); nTimeFlush += nTime4 - nTime3;
LogPrint(BCLog::BENCH, " - Flush: %.2fms [%.2fs (%.2fms/blk)]\n", (nTime4 - nTime3) * MILLI, nTimeFlush * MICRO, nTimeFlush * MILLI / nBlocksTotal);
// Write the chain state to disk, if necessary.
- if (!FlushStateToDisk(chainparams, state, FlushStateMode::IF_NEEDED))
+ if (!FlushStateToDisk(state, FlushStateMode::IF_NEEDED)) {
return false;
+ }
int64_t nTime5 = GetTimeMicros(); nTimeChainState += nTime5 - nTime4;
LogPrint(BCLog::BENCH, " - Writing chainstate: %.2fms [%.2fs (%.2fms/blk)]\n", (nTime5 - nTime4) * MILLI, nTimeChainState * MICRO, nTimeChainState * MILLI / nBlocksTotal);
// Remove conflicting transactions from the mempool.;
- m_mempool.removeForBlock(blockConnecting.vtx, pindexNew->nHeight);
- disconnectpool.removeForBlock(blockConnecting.vtx);
+ if (m_mempool) {
+ m_mempool->removeForBlock(blockConnecting.vtx, pindexNew->nHeight);
+ disconnectpool.removeForBlock(blockConnecting.vtx);
+ }
// Update m_chain & related variables.
m_chain.SetTip(pindexNew);
- UpdateTip(m_mempool, pindexNew, chainparams, *this);
+ UpdateTip(pindexNew);
int64_t nTime6 = GetTimeMicros(); nTimePostConnect += nTime6 - nTime5; nTimeTotal += nTime6 - nTime1;
LogPrint(BCLog::BENCH, " - Connect postprocess: %.2fms [%.2fs (%.2fms/blk)]\n", (nTime6 - nTime5) * MILLI, nTimePostConnect * MICRO, nTimePostConnect * MILLI / nBlocksTotal);
@@ -2648,7 +2673,9 @@ bool CChainState::ConnectTip(BlockValidationState& state, const CChainParams& ch
* Return the tip of the chain with the most work in it, that isn't
* known to be invalid (it's however far from certain to be valid).
*/
-CBlockIndex* CChainState::FindMostWorkChain() {
+CBlockIndex* CChainState::FindMostWorkChain()
+{
+ AssertLockHeld(::cs_main);
do {
CBlockIndex *pindexNew = nullptr;
@@ -2675,8 +2702,9 @@ CBlockIndex* CChainState::FindMostWorkChain() {
bool fMissingData = !(pindexTest->nStatus & BLOCK_HAVE_DATA);
if (fFailedChain || fMissingData) {
// Candidate chain is not usable (either invalid or missing data)
- if (fFailedChain && (pindexBestInvalid == nullptr || pindexNew->nChainWork > pindexBestInvalid->nChainWork))
- pindexBestInvalid = pindexNew;
+ if (fFailedChain && (m_chainman.m_best_invalid == nullptr || pindexNew->nChainWork > m_chainman.m_best_invalid->nChainWork)) {
+ m_chainman.m_best_invalid = pindexNew;
+ }
CBlockIndex *pindexFailed = pindexNew;
// Remove the entire chain from the set.
while (pindexTest != pindexFailed) {
@@ -2721,11 +2749,10 @@ void CChainState::PruneBlockIndexCandidates() {
*
* @returns true unless a system error occurred
*/
-bool CChainState::ActivateBestChainStep(BlockValidationState& state, const CChainParams& chainparams, CBlockIndex* pindexMostWork, const std::shared_ptr<const CBlock>& pblock, bool& fInvalidFound, ConnectTrace& connectTrace)
+bool CChainState::ActivateBestChainStep(BlockValidationState& state, CBlockIndex* pindexMostWork, const std::shared_ptr<const CBlock>& pblock, bool& fInvalidFound, ConnectTrace& connectTrace)
{
AssertLockHeld(cs_main);
- AssertLockHeld(m_mempool.cs);
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
+ if (m_mempool) AssertLockHeld(m_mempool->cs);
const CBlockIndex* pindexOldTip = m_chain.Tip();
const CBlockIndex* pindexFork = m_chain.FindFork(pindexMostWork);
@@ -2734,10 +2761,10 @@ bool CChainState::ActivateBestChainStep(BlockValidationState& state, const CChai
bool fBlocksDisconnected = false;
DisconnectedBlockTransactions disconnectpool;
while (m_chain.Tip() && m_chain.Tip() != pindexFork) {
- if (!DisconnectTip(state, chainparams, &disconnectpool)) {
+ if (!DisconnectTip(state, &disconnectpool)) {
// This is likely a fatal error, but keep the mempool consistent,
// just in case. Only remove from the mempool in this case.
- UpdateMempoolForReorg(*this, m_mempool, disconnectpool, false);
+ MaybeUpdateMempoolForReorg(disconnectpool, false);
// If we're unable to disconnect a block during normal operation,
// then that is a failure of our local system -- we should abort
@@ -2767,7 +2794,7 @@ bool CChainState::ActivateBestChainStep(BlockValidationState& state, const CChai
// Connect new blocks.
for (CBlockIndex* pindexConnect : reverse_iterate(vpindexToConnect)) {
- if (!ConnectTip(state, chainparams, pindexConnect, pindexConnect == pindexMostWork ? pblock : std::shared_ptr<const CBlock>(), connectTrace, disconnectpool)) {
+ if (!ConnectTip(state, pindexConnect, pindexConnect == pindexMostWork ? pblock : std::shared_ptr<const CBlock>(), connectTrace, disconnectpool)) {
if (state.IsInvalid()) {
// The block violates a consensus rule.
if (state.GetResult() != BlockValidationResult::BLOCK_MUTATED) {
@@ -2781,7 +2808,7 @@ bool CChainState::ActivateBestChainStep(BlockValidationState& state, const CChai
// A system error occurred (disk space, database error, ...).
// Make the mempool consistent with the current tip, just in case
// any observers try to use it before shutdown.
- UpdateMempoolForReorg(*this, m_mempool, disconnectpool, false);
+ MaybeUpdateMempoolForReorg(disconnectpool, false);
return false;
}
} else {
@@ -2798,9 +2825,9 @@ bool CChainState::ActivateBestChainStep(BlockValidationState& state, const CChai
if (fBlocksDisconnected) {
// If any blocks were disconnected, disconnectpool may be non empty. Add
// any disconnected transactions back to the mempool.
- UpdateMempoolForReorg(*this, m_mempool, disconnectpool, true);
+ MaybeUpdateMempoolForReorg(disconnectpool, true);
}
- m_mempool.check(*this);
+ if (m_mempool) m_mempool->check(this->CoinsTip(), this->m_chain.Height() + 1);
CheckForkWarningConditions();
@@ -2825,7 +2852,6 @@ static bool NotifyHeaderTip(CChainState& chainstate) LOCKS_EXCLUDED(cs_main) {
if (pindexHeader != pindexHeaderOld) {
fNotify = true;
- assert(std::addressof(::ChainstateActive()) == std::addressof(chainstate));
fInitialBlockDownload = chainstate.IsInitialBlockDownload();
pindexHeaderOld = pindexHeader;
}
@@ -2845,22 +2871,25 @@ static void LimitValidationInterfaceQueue() LOCKS_EXCLUDED(cs_main) {
}
}
-bool CChainState::ActivateBestChain(BlockValidationState &state, const CChainParams& chainparams, std::shared_ptr<const CBlock> pblock) {
+bool CChainState::ActivateBestChain(BlockValidationState& state, std::shared_ptr<const CBlock> pblock)
+{
+ AssertLockNotHeld(m_chainstate_mutex);
+
// Note that while we're often called here from ProcessNewBlock, this is
// far from a guarantee. Things in the P2P/RPC will often end up calling
// us in the middle of ProcessNewBlock - do not assume pblock is set
// sanely for performance or correctness!
- AssertLockNotHeld(cs_main);
+ AssertLockNotHeld(::cs_main);
// ABC maintains a fair degree of expensive-to-calculate internal state
// because this function periodically releases cs_main so that it does not lock up other threads for too long
// during large connects - and to allow for e.g. the callback queue to drain
- // we use m_cs_chainstate to enforce mutual exclusion so that only one caller may execute this function at a time
- LOCK(m_cs_chainstate);
+ // we use m_chainstate_mutex to enforce mutual exclusion so that only one caller may execute this function at a time
+ LOCK(m_chainstate_mutex);
CBlockIndex *pindexMostWork = nullptr;
CBlockIndex *pindexNewTip = nullptr;
- int nStopAtHeight = gArgs.GetArg("-stopatheight", DEFAULT_STOPATHEIGHT);
+ int nStopAtHeight = gArgs.GetIntArg("-stopatheight", DEFAULT_STOPATHEIGHT);
do {
// Block until the validation queue drains. This should largely
// never happen in normal operation, however may happen during
@@ -2872,7 +2901,8 @@ bool CChainState::ActivateBestChain(BlockValidationState &state, const CChainPar
{
LOCK(cs_main);
- LOCK(m_mempool.cs); // Lock transaction pool for at least as long as it takes for connectTrace to be consumed
+ // Lock transaction pool for at least as long as it takes for connectTrace to be consumed
+ LOCK(MempoolMutex());
CBlockIndex* starting_tip = m_chain.Tip();
bool blocks_connected = false;
do {
@@ -2891,7 +2921,7 @@ bool CChainState::ActivateBestChain(BlockValidationState &state, const CChainPar
bool fInvalidFound = false;
std::shared_ptr<const CBlock> nullBlockPtr;
- if (!ActivateBestChainStep(state, chainparams, pindexMostWork, pblock && pblock->GetHash() == pindexMostWork->GetBlockHash() ? pblock : nullBlockPtr, fInvalidFound, connectTrace)) {
+ if (!ActivateBestChainStep(state, pindexMostWork, pblock && pblock->GetHash() == pindexMostWork->GetBlockHash() ? pblock : nullBlockPtr, fInvalidFound, connectTrace)) {
// A system error occurred
return false;
}
@@ -2933,18 +2963,20 @@ bool CChainState::ActivateBestChain(BlockValidationState &state, const CChainPar
// that the best block hash is non-null.
if (ShutdownRequested()) break;
} while (pindexNewTip != pindexMostWork);
- CheckBlockIndex(chainparams.GetConsensus());
+ CheckBlockIndex();
// Write changes periodically to disk, after relay.
- if (!FlushStateToDisk(chainparams, state, FlushStateMode::PERIODIC)) {
+ if (!FlushStateToDisk(state, FlushStateMode::PERIODIC)) {
return false;
}
return true;
}
-bool CChainState::PreciousBlock(BlockValidationState& state, const CChainParams& params, CBlockIndex *pindex)
+bool CChainState::PreciousBlock(BlockValidationState& state, CBlockIndex* pindex)
{
+ AssertLockNotHeld(m_chainstate_mutex);
+ AssertLockNotHeld(::cs_main);
{
LOCK(cs_main);
if (pindex->nChainWork < m_chain.Tip()->nChainWork) {
@@ -2969,11 +3001,18 @@ bool CChainState::PreciousBlock(BlockValidationState& state, const CChainParams&
}
}
- return ActivateBestChain(state, params, std::shared_ptr<const CBlock>());
+ return ActivateBestChain(state, std::shared_ptr<const CBlock>());
}
-bool CChainState::InvalidateBlock(BlockValidationState& state, const CChainParams& chainparams, CBlockIndex *pindex)
+bool CChainState::InvalidateBlock(BlockValidationState& state, CBlockIndex* pindex)
{
+ AssertLockNotHeld(m_chainstate_mutex);
+ AssertLockNotHeld(::cs_main);
+
+ // Genesis block can't be invalidated
+ assert(pindex);
+ if (pindex->nHeight == 0) return false;
+
CBlockIndex* to_mark_failed = pindex;
bool pindex_was_in_chain = false;
int disconnected = 0;
@@ -2981,7 +3020,7 @@ bool CChainState::InvalidateBlock(BlockValidationState& state, const CChainParam
// We do not allow ActivateBestChain() to run while InvalidateBlock() is
// running, as that could cause the tip to change while we disconnect
// blocks.
- LOCK(m_cs_chainstate);
+ LOCK(m_chainstate_mutex);
// We'll be acquiring and releasing cs_main below, to allow the validation
// callbacks to run. However, we should keep the block index in a
@@ -3018,7 +3057,9 @@ bool CChainState::InvalidateBlock(BlockValidationState& state, const CChainParam
LimitValidationInterfaceQueue();
LOCK(cs_main);
- LOCK(m_mempool.cs); // Lock for as long as disconnectpool is in scope to make sure UpdateMempoolForReorg is called after DisconnectTip without unlocking in between
+ // Lock for as long as disconnectpool is in scope to make sure MaybeUpdateMempoolForReorg is
+ // called after DisconnectTip without unlocking in between
+ LOCK(MempoolMutex());
if (!m_chain.Contains(pindex)) break;
pindex_was_in_chain = true;
CBlockIndex *invalid_walk_tip = m_chain.Tip();
@@ -3026,14 +3067,13 @@ bool CChainState::InvalidateBlock(BlockValidationState& state, const CChainParam
// ActivateBestChain considers blocks already in m_chain
// unconditionally valid already, so force disconnect away from it.
DisconnectedBlockTransactions disconnectpool;
- bool ret = DisconnectTip(state, chainparams, &disconnectpool);
+ bool ret = DisconnectTip(state, &disconnectpool);
// DisconnectTip will add transactions to disconnectpool.
// Adjust the mempool to be consistent with the new tip, adding
// transactions back to the mempool if disconnecting was successful,
// and we're not doing a very deep invalidation (in which case
// keeping the mempool up to date is probably futile anyway).
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
- UpdateMempoolForReorg(*this, m_mempool, disconnectpool, /* fAddToMempool = */ (++disconnected <= 10) && ret);
+ MaybeUpdateMempoolForReorg(disconnectpool, /* fAddToMempool = */ (++disconnected <= 10) && ret);
if (!ret) return false;
assert(invalid_walk_tip->pprev == m_chain.Tip());
@@ -3043,14 +3083,14 @@ bool CChainState::InvalidateBlock(BlockValidationState& state, const CChainParam
// are no blocks that meet the "have data and are not invalid per
// nStatus" criteria for inclusion in setBlockIndexCandidates).
invalid_walk_tip->nStatus |= BLOCK_FAILED_VALID;
- setDirtyBlockIndex.insert(invalid_walk_tip);
+ m_blockman.m_dirty_blockindex.insert(invalid_walk_tip);
setBlockIndexCandidates.erase(invalid_walk_tip);
setBlockIndexCandidates.insert(invalid_walk_tip->pprev);
if (invalid_walk_tip->pprev == to_mark_failed && (to_mark_failed->nStatus & BLOCK_FAILED_VALID)) {
// We only want to mark the last disconnected block as BLOCK_FAILED_VALID; its children
// need to be BLOCK_FAILED_CHILD instead.
to_mark_failed->nStatus = (to_mark_failed->nStatus ^ BLOCK_FAILED_VALID) | BLOCK_FAILED_CHILD;
- setDirtyBlockIndex.insert(to_mark_failed);
+ m_blockman.m_dirty_blockindex.insert(to_mark_failed);
}
// Add any equal or more work headers to setBlockIndexCandidates
@@ -3069,7 +3109,7 @@ bool CChainState::InvalidateBlock(BlockValidationState& state, const CChainParam
to_mark_failed = invalid_walk_tip;
}
- CheckBlockIndex(chainparams.GetConsensus());
+ CheckBlockIndex();
{
LOCK(cs_main);
@@ -3080,9 +3120,9 @@ bool CChainState::InvalidateBlock(BlockValidationState& state, const CChainParam
// Mark pindex (or the last disconnected block) as invalid, even when it never was in the main chain
to_mark_failed->nStatus |= BLOCK_FAILED_VALID;
- setDirtyBlockIndex.insert(to_mark_failed);
+ m_blockman.m_dirty_blockindex.insert(to_mark_failed);
setBlockIndexCandidates.erase(to_mark_failed);
- m_blockman.m_failed_blocks.insert(to_mark_failed);
+ m_chainman.m_failed_blocks.insert(to_mark_failed);
// If any new blocks somehow arrived while we were disconnecting
// (above), then the pre-calculation of what should go into
@@ -3119,15 +3159,15 @@ void CChainState::ResetBlockFailureFlags(CBlockIndex *pindex) {
while (it != m_blockman.m_block_index.end()) {
if (!it->second->IsValid() && it->second->GetAncestor(nHeight) == pindex) {
it->second->nStatus &= ~BLOCK_FAILED_MASK;
- setDirtyBlockIndex.insert(it->second);
+ m_blockman.m_dirty_blockindex.insert(it->second);
if (it->second->IsValid(BLOCK_VALID_TRANSACTIONS) && it->second->HaveTxsDownloaded() && setBlockIndexCandidates.value_comp()(m_chain.Tip(), it->second)) {
setBlockIndexCandidates.insert(it->second);
}
- if (it->second == pindexBestInvalid) {
+ if (it->second == m_chainman.m_best_invalid) {
// Reset invalid block marker if it was pointing to one of those.
- pindexBestInvalid = nullptr;
+ m_chainman.m_best_invalid = nullptr;
}
- m_blockman.m_failed_blocks.erase(it->second);
+ m_chainman.m_failed_blocks.erase(it->second);
}
it++;
}
@@ -3136,63 +3176,28 @@ void CChainState::ResetBlockFailureFlags(CBlockIndex *pindex) {
while (pindex != nullptr) {
if (pindex->nStatus & BLOCK_FAILED_MASK) {
pindex->nStatus &= ~BLOCK_FAILED_MASK;
- setDirtyBlockIndex.insert(pindex);
- m_blockman.m_failed_blocks.erase(pindex);
+ m_blockman.m_dirty_blockindex.insert(pindex);
+ m_chainman.m_failed_blocks.erase(pindex);
}
pindex = pindex->pprev;
}
}
-CBlockIndex* BlockManager::AddToBlockIndex(const CBlockHeader& block)
-{
- AssertLockHeld(cs_main);
-
- // Check for duplicate
- uint256 hash = block.GetHash();
- BlockMap::iterator it = m_block_index.find(hash);
- if (it != m_block_index.end())
- return it->second;
-
- // Construct new block index object
- CBlockIndex* pindexNew = new CBlockIndex(block);
- // We assign the sequence id to blocks only when the full data is available,
- // to avoid miners withholding blocks but broadcasting headers, to get a
- // competitive advantage.
- pindexNew->nSequenceId = 0;
- BlockMap::iterator mi = m_block_index.insert(std::make_pair(hash, pindexNew)).first;
- pindexNew->phashBlock = &((*mi).first);
- BlockMap::iterator miPrev = m_block_index.find(block.hashPrevBlock);
- if (miPrev != m_block_index.end())
- {
- pindexNew->pprev = (*miPrev).second;
- pindexNew->nHeight = pindexNew->pprev->nHeight + 1;
- pindexNew->BuildSkip();
- }
- pindexNew->nTimeMax = (pindexNew->pprev ? std::max(pindexNew->pprev->nTimeMax, pindexNew->nTime) : pindexNew->nTime);
- pindexNew->nChainWork = (pindexNew->pprev ? pindexNew->pprev->nChainWork : 0) + GetBlockProof(*pindexNew);
- pindexNew->RaiseValidity(BLOCK_VALID_TREE);
- if (pindexBestHeader == nullptr || pindexBestHeader->nChainWork < pindexNew->nChainWork)
- pindexBestHeader = pindexNew;
-
- setDirtyBlockIndex.insert(pindexNew);
-
- return pindexNew;
-}
-
/** Mark a block as having its data received and checked (up to BLOCK_VALID_TRANSACTIONS). */
-void CChainState::ReceivedBlockTransactions(const CBlock& block, CBlockIndex* pindexNew, const FlatFilePos& pos, const Consensus::Params& consensusParams)
+void CChainState::ReceivedBlockTransactions(const CBlock& block, CBlockIndex* pindexNew, const FlatFilePos& pos)
{
+ AssertLockHeld(cs_main);
pindexNew->nTx = block.vtx.size();
pindexNew->nChainTx = 0;
pindexNew->nFile = pos.nFile;
pindexNew->nDataPos = pos.nPos;
pindexNew->nUndoPos = 0;
pindexNew->nStatus |= BLOCK_HAVE_DATA;
- if (IsWitnessEnabled(pindexNew->pprev, consensusParams)) {
+ if (DeploymentActiveAt(*pindexNew, m_params.GetConsensus(), Consensus::DEPLOYMENT_SEGWIT)) {
pindexNew->nStatus |= BLOCK_OPT_WITNESS;
}
pindexNew->RaiseValidity(BLOCK_VALID_TRANSACTIONS);
- setDirtyBlockIndex.insert(pindexNew);
+ m_blockman.m_dirty_blockindex.insert(pindexNew);
if (pindexNew->pprev == nullptr || pindexNew->pprev->HaveTxsDownloaded()) {
// If pindexNew is the genesis block or all parents are BLOCK_VALID_TRANSACTIONS.
@@ -3204,10 +3209,7 @@ void CChainState::ReceivedBlockTransactions(const CBlock& block, CBlockIndex* pi
CBlockIndex *pindex = queue.front();
queue.pop_front();
pindex->nChainTx = (pindex->pprev ? pindex->pprev->nChainTx : 0) + pindex->nTx;
- {
- LOCK(cs_nBlockSequenceId);
- pindex->nSequenceId = nBlockSequenceId++;
- }
+ pindex->nSequenceId = nBlockSequenceId++;
if (m_chain.Tip() == nullptr || !setBlockIndexCandidates.value_comp()(pindex, m_chain.Tip())) {
setBlockIndexCandidates.insert(pindex);
}
@@ -3226,83 +3228,6 @@ void CChainState::ReceivedBlockTransactions(const CBlock& block, CBlockIndex* pi
}
}
-static bool FindBlockPos(FlatFilePos &pos, unsigned int nAddSize, unsigned int nHeight, CChain& active_chain, uint64_t nTime, bool fKnown = false)
-{
- LOCK(cs_LastBlockFile);
-
- unsigned int nFile = fKnown ? pos.nFile : nLastBlockFile;
- if (vinfoBlockFile.size() <= nFile) {
- vinfoBlockFile.resize(nFile + 1);
- }
-
- bool finalize_undo = false;
- if (!fKnown) {
- while (vinfoBlockFile[nFile].nSize + nAddSize >= (gArgs.GetBoolArg("-fastprune", false) ? 0x10000 /* 64kb */ : MAX_BLOCKFILE_SIZE)) {
- // when the undo file is keeping up with the block file, we want to flush it explicitly
- // when it is lagging behind (more blocks arrive than are being connected), we let the
- // undo block write case handle it
- assert(std::addressof(::ChainActive()) == std::addressof(active_chain));
- finalize_undo = (vinfoBlockFile[nFile].nHeightLast == (unsigned int)active_chain.Tip()->nHeight);
- nFile++;
- if (vinfoBlockFile.size() <= nFile) {
- vinfoBlockFile.resize(nFile + 1);
- }
- }
- pos.nFile = nFile;
- pos.nPos = vinfoBlockFile[nFile].nSize;
- }
-
- if ((int)nFile != nLastBlockFile) {
- if (!fKnown) {
- LogPrint(BCLog::VALIDATION, "Leaving block file %i: %s\n", nLastBlockFile, vinfoBlockFile[nLastBlockFile].ToString());
- }
- FlushBlockFile(!fKnown, finalize_undo);
- nLastBlockFile = nFile;
- }
-
- vinfoBlockFile[nFile].AddBlock(nHeight, nTime);
- if (fKnown)
- vinfoBlockFile[nFile].nSize = std::max(pos.nPos + nAddSize, vinfoBlockFile[nFile].nSize);
- else
- vinfoBlockFile[nFile].nSize += nAddSize;
-
- if (!fKnown) {
- bool out_of_space;
- size_t bytes_allocated = BlockFileSeq().Allocate(pos, nAddSize, out_of_space);
- if (out_of_space) {
- return AbortNode("Disk space is too low!", _("Disk space is too low!"));
- }
- if (bytes_allocated != 0 && fPruneMode) {
- fCheckForPruning = true;
- }
- }
-
- setDirtyFileInfo.insert(nFile);
- return true;
-}
-
-static bool FindUndoPos(BlockValidationState &state, int nFile, FlatFilePos &pos, unsigned int nAddSize)
-{
- pos.nFile = nFile;
-
- LOCK(cs_LastBlockFile);
-
- pos.nPos = vinfoBlockFile[nFile].nUndoSize;
- vinfoBlockFile[nFile].nUndoSize += nAddSize;
- setDirtyFileInfo.insert(nFile);
-
- bool out_of_space;
- size_t bytes_allocated = UndoFileSeq().Allocate(pos, nAddSize, out_of_space);
- if (out_of_space) {
- return AbortNode(state, "Disk space is too low!", _("Disk space is too low!"));
- }
- if (bytes_allocated != 0 && fPruneMode) {
- fCheckForPruning = true;
- }
-
- return true;
-}
-
static bool CheckBlockHeader(const CBlockHeader& block, BlockValidationState& state, const Consensus::Params& consensusParams, bool fCheckPOW = true)
{
// Check proof of work matches claimed amount
@@ -3386,17 +3311,11 @@ bool CheckBlock(const CBlock& block, BlockValidationState& state, const Consensu
return true;
}
-bool IsWitnessEnabled(const CBlockIndex* pindexPrev, const Consensus::Params& params)
-{
- int height = pindexPrev == nullptr ? 0 : pindexPrev->nHeight + 1;
- return (height >= params.SegwitHeight);
-}
-
void UpdateUncommittedBlockStructures(CBlock& block, const CBlockIndex* pindexPrev, const Consensus::Params& consensusParams)
{
int commitpos = GetWitnessCommitmentIndex(block);
static const std::vector<unsigned char> nonce(32, 0x00);
- if (commitpos != NO_WITNESS_COMMITMENT && IsWitnessEnabled(pindexPrev, consensusParams) && !block.vtx[0]->HasWitness()) {
+ if (commitpos != NO_WITNESS_COMMITMENT && DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_SEGWIT) && !block.vtx[0]->HasWitness()) {
CMutableTransaction tx(*block.vtx[0]);
tx.vin[0].scriptWitness.stack.resize(1);
tx.vin[0].scriptWitness.stack[0] = nonce;
@@ -3409,46 +3328,28 @@ std::vector<unsigned char> GenerateCoinbaseCommitment(CBlock& block, const CBloc
std::vector<unsigned char> commitment;
int commitpos = GetWitnessCommitmentIndex(block);
std::vector<unsigned char> ret(32, 0x00);
- if (consensusParams.SegwitHeight != std::numeric_limits<int>::max()) {
- if (commitpos == NO_WITNESS_COMMITMENT) {
- uint256 witnessroot = BlockWitnessMerkleRoot(block, nullptr);
- CHash256().Write(witnessroot).Write(ret).Finalize(witnessroot);
- CTxOut out;
- out.nValue = 0;
- out.scriptPubKey.resize(MINIMUM_WITNESS_COMMITMENT);
- out.scriptPubKey[0] = OP_RETURN;
- out.scriptPubKey[1] = 0x24;
- out.scriptPubKey[2] = 0xaa;
- out.scriptPubKey[3] = 0x21;
- out.scriptPubKey[4] = 0xa9;
- out.scriptPubKey[5] = 0xed;
- memcpy(&out.scriptPubKey[6], witnessroot.begin(), 32);
- commitment = std::vector<unsigned char>(out.scriptPubKey.begin(), out.scriptPubKey.end());
- CMutableTransaction tx(*block.vtx[0]);
- tx.vout.push_back(out);
- block.vtx[0] = MakeTransactionRef(std::move(tx));
- }
+ if (commitpos == NO_WITNESS_COMMITMENT) {
+ uint256 witnessroot = BlockWitnessMerkleRoot(block, nullptr);
+ CHash256().Write(witnessroot).Write(ret).Finalize(witnessroot);
+ CTxOut out;
+ out.nValue = 0;
+ out.scriptPubKey.resize(MINIMUM_WITNESS_COMMITMENT);
+ out.scriptPubKey[0] = OP_RETURN;
+ out.scriptPubKey[1] = 0x24;
+ out.scriptPubKey[2] = 0xaa;
+ out.scriptPubKey[3] = 0x21;
+ out.scriptPubKey[4] = 0xa9;
+ out.scriptPubKey[5] = 0xed;
+ memcpy(&out.scriptPubKey[6], witnessroot.begin(), 32);
+ commitment = std::vector<unsigned char>(out.scriptPubKey.begin(), out.scriptPubKey.end());
+ CMutableTransaction tx(*block.vtx[0]);
+ tx.vout.push_back(out);
+ block.vtx[0] = MakeTransactionRef(std::move(tx));
}
UpdateUncommittedBlockStructures(block, pindexPrev, consensusParams);
return commitment;
}
-CBlockIndex* BlockManager::GetLastCheckpoint(const CCheckpointData& data)
-{
- const MapCheckpoints& checkpoints = data.mapCheckpoints;
-
- for (const MapCheckpoints::value_type& i : reverse_iterate(checkpoints))
- {
- const uint256& hash = i.second;
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(*this));
- CBlockIndex* pindex = LookupBlockIndex(hash);
- if (pindex) {
- return pindex;
- }
- }
- return nullptr;
-}
-
/** Context-dependent validity checks.
* By "context", we mean only the previous block headers, but not the UTXO
* set; UTXO-related validity checks are done in ConnectBlock().
@@ -3458,8 +3359,9 @@ CBlockIndex* BlockManager::GetLastCheckpoint(const CCheckpointData& data)
* in ConnectBlock().
* Note that -reindex-chainstate skips the validation that happens here!
*/
-static bool ContextualCheckBlockHeader(const CBlockHeader& block, BlockValidationState& state, BlockManager& blockman, const CChainParams& params, const CBlockIndex* pindexPrev, int64_t nAdjustedTime) EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+static bool ContextualCheckBlockHeader(const CBlockHeader& block, BlockValidationState& state, BlockManager& blockman, const CChainParams& params, const CBlockIndex* pindexPrev, int64_t nAdjustedTime) EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
assert(pindexPrev != nullptr);
const int nHeight = pindexPrev->nHeight + 1;
@@ -3473,7 +3375,6 @@ static bool ContextualCheckBlockHeader(const CBlockHeader& block, BlockValidatio
// Don't accept any forks from the main chain prior to last checkpoint.
// GetLastCheckpoint finds the last checkpoint in MapCheckpoints that's in our
// BlockIndex().
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(blockman));
CBlockIndex* pcheckpoint = blockman.GetLastCheckpoint(params.Checkpoints());
if (pcheckpoint && nHeight < pcheckpoint->nHeight) {
LogPrintf("ERROR: %s: forked chain older than last checkpoint (height %d)\n", __func__, nHeight);
@@ -3489,13 +3390,13 @@ static bool ContextualCheckBlockHeader(const CBlockHeader& block, BlockValidatio
if (block.GetBlockTime() > nAdjustedTime + MAX_FUTURE_BLOCK_TIME)
return state.Invalid(BlockValidationResult::BLOCK_TIME_FUTURE, "time-too-new", "block timestamp too far in the future");
- // Reject outdated version blocks when 95% (75% on testnet) of the network has upgraded:
- // check for version 2, 3 and 4 upgrades
- if((block.nVersion < 2 && nHeight >= consensusParams.BIP34Height) ||
- (block.nVersion < 3 && nHeight >= consensusParams.BIP66Height) ||
- (block.nVersion < 4 && nHeight >= consensusParams.BIP65Height))
+ // Reject blocks with outdated version
+ if ((block.nVersion < 2 && DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_HEIGHTINCB)) ||
+ (block.nVersion < 3 && DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_DERSIG)) ||
+ (block.nVersion < 4 && DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_CLTV))) {
return state.Invalid(BlockValidationResult::BLOCK_INVALID_HEADER, strprintf("bad-version(0x%08x)", block.nVersion),
strprintf("rejected nVersion=0x%08x block", block.nVersion));
+ }
return true;
}
@@ -3510,9 +3411,9 @@ static bool ContextualCheckBlock(const CBlock& block, BlockValidationState& stat
{
const int nHeight = pindexPrev == nullptr ? 0 : pindexPrev->nHeight + 1;
- // Start enforcing BIP113 (Median Time Past).
+ // Enforce BIP113 (Median Time Past).
int nLockTimeFlags = 0;
- if (nHeight >= consensusParams.CSVHeight) {
+ if (DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_CSV)) {
assert(pindexPrev != nullptr);
nLockTimeFlags |= LOCKTIME_MEDIAN_TIME_PAST;
}
@@ -3529,7 +3430,7 @@ static bool ContextualCheckBlock(const CBlock& block, BlockValidationState& stat
}
// Enforce rule that the coinbase starts with serialized block height
- if (nHeight >= consensusParams.BIP34Height)
+ if (DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_HEIGHTINCB))
{
CScript expect = CScript() << nHeight;
if (block.vtx[0]->vin[0].scriptSig.size() < expect.size() ||
@@ -3547,7 +3448,7 @@ static bool ContextualCheckBlock(const CBlock& block, BlockValidationState& stat
// {0xaa, 0x21, 0xa9, 0xed}, and the following 32 bytes are SHA256^2(witness root, witness reserved value). In case there are
// multiple, the last one is used.
bool fHaveWitness = false;
- if (nHeight >= consensusParams.SegwitHeight) {
+ if (DeploymentActiveAfter(pindexPrev, consensusParams, Consensus::DEPLOYMENT_SEGWIT)) {
int commitpos = GetWitnessCommitmentIndex(block);
if (commitpos != NO_WITNESS_COMMITMENT) {
bool malleated = false;
@@ -3588,20 +3489,20 @@ static bool ContextualCheckBlock(const CBlock& block, BlockValidationState& stat
return true;
}
-bool BlockManager::AcceptBlockHeader(const CBlockHeader& block, BlockValidationState& state, const CChainParams& chainparams, CBlockIndex** ppindex)
+bool ChainstateManager::AcceptBlockHeader(const CBlockHeader& block, BlockValidationState& state, const CChainParams& chainparams, CBlockIndex** ppindex)
{
AssertLockHeld(cs_main);
// Check for duplicate
uint256 hash = block.GetHash();
- BlockMap::iterator miSelf = m_block_index.find(hash);
+ BlockMap::iterator miSelf{m_blockman.m_block_index.find(hash)};
if (hash != chainparams.GetConsensus().hashGenesisBlock) {
- if (miSelf != m_block_index.end()) {
+ if (miSelf != m_blockman.m_block_index.end()) {
// Block header is already known.
CBlockIndex* pindex = miSelf->second;
if (ppindex)
*ppindex = pindex;
if (pindex->nStatus & BLOCK_FAILED_MASK) {
- LogPrintf("ERROR: %s: block %s is marked invalid\n", __func__, hash.ToString());
+ LogPrint(BCLog::VALIDATION, "%s: block %s is marked invalid\n", __func__, hash.ToString());
return state.Invalid(BlockValidationResult::BLOCK_CACHED_INVALID, "duplicate");
}
return true;
@@ -3614,18 +3515,20 @@ bool BlockManager::AcceptBlockHeader(const CBlockHeader& block, BlockValidationS
// Get prev block index
CBlockIndex* pindexPrev = nullptr;
- BlockMap::iterator mi = m_block_index.find(block.hashPrevBlock);
- if (mi == m_block_index.end()) {
- LogPrintf("ERROR: %s: prev block not found\n", __func__);
+ BlockMap::iterator mi{m_blockman.m_block_index.find(block.hashPrevBlock)};
+ if (mi == m_blockman.m_block_index.end()) {
+ LogPrint(BCLog::VALIDATION, "%s: %s prev block not found\n", __func__, hash.ToString());
return state.Invalid(BlockValidationResult::BLOCK_MISSING_PREV, "prev-blk-not-found");
}
pindexPrev = (*mi).second;
if (pindexPrev->nStatus & BLOCK_FAILED_MASK) {
- LogPrintf("ERROR: %s: prev block invalid\n", __func__);
+ LogPrint(BCLog::VALIDATION, "%s: %s prev block invalid\n", __func__, hash.ToString());
return state.Invalid(BlockValidationResult::BLOCK_INVALID_PREV, "bad-prevblk");
}
- if (!ContextualCheckBlockHeader(block, state, *this, chainparams, pindexPrev, GetAdjustedTime()))
- return error("%s: Consensus::ContextualCheckBlockHeader: %s, %s", __func__, hash.ToString(), state.ToString());
+ if (!ContextualCheckBlockHeader(block, state, m_blockman, chainparams, pindexPrev, GetAdjustedTime())) {
+ LogPrint(BCLog::VALIDATION, "%s: Consensus::ContextualCheckBlockHeader: %s, %s\n", __func__, hash.ToString(), state.ToString());
+ return false;
+ }
/* Determine if this block descends from any block which has been found
* invalid (m_failed_blocks), then mark pindexPrev and any blocks between
@@ -3657,16 +3560,16 @@ bool BlockManager::AcceptBlockHeader(const CBlockHeader& block, BlockValidationS
CBlockIndex* invalid_walk = pindexPrev;
while (invalid_walk != failedit) {
invalid_walk->nStatus |= BLOCK_FAILED_CHILD;
- setDirtyBlockIndex.insert(invalid_walk);
+ m_blockman.m_dirty_blockindex.insert(invalid_walk);
invalid_walk = invalid_walk->pprev;
}
- LogPrintf("ERROR: %s: prev block invalid\n", __func__);
+ LogPrint(BCLog::VALIDATION, "%s: %s prev block invalid\n", __func__, hash.ToString());
return state.Invalid(BlockValidationResult::BLOCK_INVALID_PREV, "bad-prevblk");
}
}
}
}
- CBlockIndex* pindex = AddToBlockIndex(block);
+ CBlockIndex* pindex{m_blockman.AddToBlockIndex(block)};
if (ppindex)
*ppindex = pindex;
@@ -3677,15 +3580,13 @@ bool BlockManager::AcceptBlockHeader(const CBlockHeader& block, BlockValidationS
// Exposed wrapper for AcceptBlockHeader
bool ChainstateManager::ProcessNewBlockHeaders(const std::vector<CBlockHeader>& headers, BlockValidationState& state, const CChainParams& chainparams, const CBlockIndex** ppindex)
{
- assert(std::addressof(::ChainstateActive()) == std::addressof(ActiveChainstate()));
AssertLockNotHeld(cs_main);
{
LOCK(cs_main);
for (const CBlockHeader& header : headers) {
CBlockIndex *pindex = nullptr; // Use a temp pindex instead of ppindex to avoid a const_cast
- bool accepted = m_blockman.AcceptBlockHeader(
- header, state, chainparams, &pindex);
- ActiveChainstate().CheckBlockIndex(chainparams.GetConsensus());
+ bool accepted{AcceptBlockHeader(header, state, chainparams, &pindex)};
+ ActiveChainstate().CheckBlockIndex();
if (!accepted) {
return false;
@@ -3697,33 +3598,17 @@ bool ChainstateManager::ProcessNewBlockHeaders(const std::vector<CBlockHeader>&
}
if (NotifyHeaderTip(ActiveChainstate())) {
if (ActiveChainstate().IsInitialBlockDownload() && ppindex && *ppindex) {
- LogPrintf("Synchronizing blockheaders, height: %d (~%.2f%%)\n", (*ppindex)->nHeight, 100.0/((*ppindex)->nHeight+(GetAdjustedTime() - (*ppindex)->GetBlockTime()) / Params().GetConsensus().nPowTargetSpacing) * (*ppindex)->nHeight);
+ const CBlockIndex& last_accepted{**ppindex};
+ const int64_t blocks_left{(GetTime() - last_accepted.GetBlockTime()) / chainparams.GetConsensus().nPowTargetSpacing};
+ const double progress{100.0 * last_accepted.nHeight / (last_accepted.nHeight + blocks_left)};
+ LogPrintf("Synchronizing blockheaders, height: %d (~%.2f%%)\n", last_accepted.nHeight, progress);
}
}
return true;
}
/** Store block on disk. If dbp is non-nullptr, the file is known to already reside on disk */
-static FlatFilePos SaveBlockToDisk(const CBlock& block, int nHeight, CChain& active_chain, const CChainParams& chainparams, const FlatFilePos* dbp) {
- unsigned int nBlockSize = ::GetSerializeSize(block, CLIENT_VERSION);
- FlatFilePos blockPos;
- if (dbp != nullptr)
- blockPos = *dbp;
- if (!FindBlockPos(blockPos, nBlockSize+8, nHeight, active_chain, block.GetBlockTime(), dbp != nullptr)) {
- error("%s: FindBlockPos failed", __func__);
- return FlatFilePos();
- }
- if (dbp == nullptr) {
- if (!WriteBlockToDisk(block, blockPos, chainparams.MessageStart())) {
- AbortNode("Failed to write block");
- return FlatFilePos();
- }
- }
- return blockPos;
-}
-
-/** Store block on disk. If dbp is non-nullptr, the file is known to already reside on disk */
-bool CChainState::AcceptBlock(const std::shared_ptr<const CBlock>& pblock, BlockValidationState& state, const CChainParams& chainparams, CBlockIndex** ppindex, bool fRequested, const FlatFilePos* dbp, bool* fNewBlock)
+bool CChainState::AcceptBlock(const std::shared_ptr<const CBlock>& pblock, BlockValidationState& state, CBlockIndex** ppindex, bool fRequested, const FlatFilePos* dbp, bool* fNewBlock)
{
const CBlock& block = *pblock;
@@ -3733,8 +3618,8 @@ bool CChainState::AcceptBlock(const std::shared_ptr<const CBlock>& pblock, Block
CBlockIndex *pindexDummy = nullptr;
CBlockIndex *&pindex = ppindex ? *ppindex : pindexDummy;
- bool accepted_header = m_blockman.AcceptBlockHeader(block, state, chainparams, &pindex);
- CheckBlockIndex(chainparams.GetConsensus());
+ bool accepted_header{m_chainman.AcceptBlockHeader(block, state, m_params, &pindex)};
+ CheckBlockIndex();
if (!accepted_header)
return false;
@@ -3749,12 +3634,13 @@ bool CChainState::AcceptBlock(const std::shared_ptr<const CBlock>& pblock, Block
// blocks which are too close in height to the tip. Apply this test
// regardless of whether pruning is enabled; it should generally be safe to
// not process unrequested blocks.
- bool fTooFarAhead = (pindex->nHeight > int(m_chain.Height() + MIN_BLOCKS_TO_KEEP));
+ bool fTooFarAhead{pindex->nHeight > m_chain.Height() + int(MIN_BLOCKS_TO_KEEP)};
// TODO: Decouple this function from the block download logic by removing fRequested
// This requires some new chain data structure to efficiently look up if a
// block is in a chain leading to a candidate for best tip, despite not
// being such a candidate itself.
+ // Note that this would break the getblockfrompeer RPC
// TODO: deal better with return value and error conditions for duplicate
// and unrequested blocks.
@@ -3771,11 +3657,11 @@ bool CChainState::AcceptBlock(const std::shared_ptr<const CBlock>& pblock, Block
if (pindex->nChainWork < nMinimumChainWork) return true;
}
- if (!CheckBlock(block, state, chainparams.GetConsensus()) ||
- !ContextualCheckBlock(block, state, chainparams.GetConsensus(), pindex->pprev)) {
+ if (!CheckBlock(block, state, m_params.GetConsensus()) ||
+ !ContextualCheckBlock(block, state, m_params.GetConsensus(), pindex->pprev)) {
if (state.IsInvalid() && state.GetResult() != BlockValidationResult::BLOCK_MUTATED) {
pindex->nStatus |= BLOCK_FAILED_VALID;
- setDirtyBlockIndex.insert(pindex);
+ m_blockman.m_dirty_blockindex.insert(pindex);
}
return error("%s: %s", __func__, state.ToString());
}
@@ -3787,48 +3673,49 @@ bool CChainState::AcceptBlock(const std::shared_ptr<const CBlock>& pblock, Block
// Write block to history file
if (fNewBlock) *fNewBlock = true;
- assert(std::addressof(::ChainActive()) == std::addressof(m_chain));
try {
- FlatFilePos blockPos = SaveBlockToDisk(block, pindex->nHeight, m_chain, chainparams, dbp);
+ FlatFilePos blockPos{m_blockman.SaveBlockToDisk(block, pindex->nHeight, m_chain, m_params, dbp)};
if (blockPos.IsNull()) {
state.Error(strprintf("%s: Failed to find position to write new block to disk", __func__));
return false;
}
- ReceivedBlockTransactions(block, pindex, blockPos, chainparams.GetConsensus());
+ ReceivedBlockTransactions(block, pindex, blockPos);
} catch (const std::runtime_error& e) {
return AbortNode(state, std::string("System error: ") + e.what());
}
- FlushStateToDisk(chainparams, state, FlushStateMode::NONE);
+ FlushStateToDisk(state, FlushStateMode::NONE);
- CheckBlockIndex(chainparams.GetConsensus());
+ CheckBlockIndex();
return true;
}
-bool ChainstateManager::ProcessNewBlock(const CChainParams& chainparams, const std::shared_ptr<const CBlock> pblock, bool fForceProcessing, bool* fNewBlock)
+bool ChainstateManager::ProcessNewBlock(const CChainParams& chainparams, const std::shared_ptr<const CBlock>& block, bool force_processing, bool* new_block)
{
AssertLockNotHeld(cs_main);
- assert(std::addressof(::ChainstateActive()) == std::addressof(ActiveChainstate()));
{
CBlockIndex *pindex = nullptr;
- if (fNewBlock) *fNewBlock = false;
+ if (new_block) *new_block = false;
BlockValidationState state;
// CheckBlock() does not support multi-threaded block validation because CBlock::fChecked can cause data race.
// Therefore, the following critical section must include the CheckBlock() call as well.
LOCK(cs_main);
- // Ensure that CheckBlock() passes before calling AcceptBlock, as
- // belt-and-suspenders.
- bool ret = CheckBlock(*pblock, state, chainparams.GetConsensus());
+ // Skipping AcceptBlock() for CheckBlock() failures means that we will never mark a block as invalid if
+ // CheckBlock() fails. This is protective against consensus failure if there are any unknown forms of block
+ // malleability that cause CheckBlock() to fail; see e.g. CVE-2012-2459 and
+ // https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2019-February/016697.html. Because CheckBlock() is
+ // not very expensive, the anti-DoS benefits of caching failure (of a definitely-invalid block) are not substantial.
+ bool ret = CheckBlock(*block, state, chainparams.GetConsensus());
if (ret) {
// Store to disk
- ret = ActiveChainstate().AcceptBlock(pblock, state, chainparams, &pindex, fForceProcessing, nullptr, fNewBlock);
+ ret = ActiveChainstate().AcceptBlock(block, state, &pindex, force_processing, nullptr, new_block);
}
if (!ret) {
- GetMainSignals().BlockChecked(*pblock, state);
+ GetMainSignals().BlockChecked(*block, state);
return error("%s: AcceptBlock FAILED (%s)", __func__, state.ToString());
}
}
@@ -3836,12 +3723,27 @@ bool ChainstateManager::ProcessNewBlock(const CChainParams& chainparams, const s
NotifyHeaderTip(ActiveChainstate());
BlockValidationState state; // Only used to report errors, not invalidity - ignore it
- if (!ActiveChainstate().ActivateBestChain(state, chainparams, pblock))
+ if (!ActiveChainstate().ActivateBestChain(state, block)) {
return error("%s: ActivateBestChain failed (%s)", __func__, state.ToString());
+ }
return true;
}
+MempoolAcceptResult ChainstateManager::ProcessTransaction(const CTransactionRef& tx, bool test_accept)
+{
+ AssertLockHeld(cs_main);
+ CChainState& active_chainstate = ActiveChainstate();
+ if (!active_chainstate.GetMempool()) {
+ TxValidationState state;
+ state.Invalid(TxValidationResult::TX_NO_MEMPOOL, "no-mempool");
+ return MempoolAcceptResult::Failure(state);
+ }
+ auto result = AcceptToMemoryPool(active_chainstate, tx, GetTime(), /*bypass_limits=*/ false, test_accept);
+ active_chainstate.GetMempool()->check(active_chainstate.CoinsTip(), active_chainstate.m_chain.Height() + 1);
+ return result;
+}
+
bool TestBlockValidity(BlockValidationState& state,
const CChainParams& chainparams,
CChainState& chainstate,
@@ -3851,7 +3753,6 @@ bool TestBlockValidity(BlockValidationState& state,
bool fCheckMerkleRoot)
{
AssertLockHeld(cs_main);
- assert(std::addressof(::ChainstateActive()) == std::addressof(chainstate));
assert(pindexPrev && pindexPrev == chainstate.m_chain.Tip());
CCoinsViewCache viewNew(&chainstate.CoinsTip());
uint256 block_hash(block.GetHash());
@@ -3861,351 +3762,40 @@ bool TestBlockValidity(BlockValidationState& state,
indexDummy.phashBlock = &block_hash;
// NOTE: CheckBlockHeader is called by CheckBlock
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(chainstate.m_blockman));
if (!ContextualCheckBlockHeader(block, state, chainstate.m_blockman, chainparams, pindexPrev, GetAdjustedTime()))
return error("%s: Consensus::ContextualCheckBlockHeader: %s", __func__, state.ToString());
if (!CheckBlock(block, state, chainparams.GetConsensus(), fCheckPOW, fCheckMerkleRoot))
return error("%s: Consensus::CheckBlock: %s", __func__, state.ToString());
if (!ContextualCheckBlock(block, state, chainparams.GetConsensus(), pindexPrev))
return error("%s: Consensus::ContextualCheckBlock: %s", __func__, state.ToString());
- if (!chainstate.ConnectBlock(block, state, &indexDummy, viewNew, chainparams, true))
+ if (!chainstate.ConnectBlock(block, state, &indexDummy, viewNew, true)) {
return false;
+ }
assert(state.IsValid());
return true;
}
-/**
- * BLOCK PRUNING CODE
- */
-
-/* Calculate the amount of disk space the block & undo files currently use */
-uint64_t CalculateCurrentUsage()
-{
- LOCK(cs_LastBlockFile);
-
- uint64_t retval = 0;
- for (const CBlockFileInfo &file : vinfoBlockFile) {
- retval += file.nSize + file.nUndoSize;
- }
- return retval;
-}
-
-void BlockManager::PruneOneBlockFile(const int fileNumber)
-{
- AssertLockHeld(cs_main);
- LOCK(cs_LastBlockFile);
-
- for (const auto& entry : m_block_index) {
- CBlockIndex* pindex = entry.second;
- if (pindex->nFile == fileNumber) {
- pindex->nStatus &= ~BLOCK_HAVE_DATA;
- pindex->nStatus &= ~BLOCK_HAVE_UNDO;
- pindex->nFile = 0;
- pindex->nDataPos = 0;
- pindex->nUndoPos = 0;
- setDirtyBlockIndex.insert(pindex);
-
- // Prune from m_blocks_unlinked -- any block we prune would have
- // to be downloaded again in order to consider its chain, at which
- // point it would be considered as a candidate for
- // m_blocks_unlinked or setBlockIndexCandidates.
- auto range = m_blocks_unlinked.equal_range(pindex->pprev);
- while (range.first != range.second) {
- std::multimap<CBlockIndex *, CBlockIndex *>::iterator _it = range.first;
- range.first++;
- if (_it->second == pindex) {
- m_blocks_unlinked.erase(_it);
- }
- }
- }
- }
-
- vinfoBlockFile[fileNumber].SetNull();
- setDirtyFileInfo.insert(fileNumber);
-}
-
-
-void UnlinkPrunedFiles(const std::set<int>& setFilesToPrune)
-{
- for (std::set<int>::iterator it = setFilesToPrune.begin(); it != setFilesToPrune.end(); ++it) {
- FlatFilePos pos(*it, 0);
- fs::remove(BlockFileSeq().FileName(pos));
- fs::remove(UndoFileSeq().FileName(pos));
- LogPrintf("Prune: %s deleted blk/rev (%05u)\n", __func__, *it);
- }
-}
-
-void BlockManager::FindFilesToPruneManual(std::set<int>& setFilesToPrune, int nManualPruneHeight, int chain_tip_height)
-{
- assert(fPruneMode && nManualPruneHeight > 0);
-
- LOCK2(cs_main, cs_LastBlockFile);
- if (chain_tip_height < 0) {
- return;
- }
-
- // last block to prune is the lesser of (user-specified height, MIN_BLOCKS_TO_KEEP from the tip)
- unsigned int nLastBlockWeCanPrune = std::min((unsigned)nManualPruneHeight, chain_tip_height - MIN_BLOCKS_TO_KEEP);
- int count = 0;
- for (int fileNumber = 0; fileNumber < nLastBlockFile; fileNumber++) {
- if (vinfoBlockFile[fileNumber].nSize == 0 || vinfoBlockFile[fileNumber].nHeightLast > nLastBlockWeCanPrune) {
- continue;
- }
- PruneOneBlockFile(fileNumber);
- setFilesToPrune.insert(fileNumber);
- count++;
- }
- LogPrintf("Prune (Manual): prune_height=%d removed %d blk/rev pairs\n", nLastBlockWeCanPrune, count);
-}
-
/* This function is called from the RPC code for pruneblockchain */
void PruneBlockFilesManual(CChainState& active_chainstate, int nManualPruneHeight)
{
BlockValidationState state;
- const CChainParams& chainparams = Params();
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
if (!active_chainstate.FlushStateToDisk(
- chainparams, state, FlushStateMode::NONE, nManualPruneHeight)) {
+ state, FlushStateMode::NONE, nManualPruneHeight)) {
LogPrintf("%s: failed to flush state (%s)\n", __func__, state.ToString());
}
}
-void BlockManager::FindFilesToPrune(std::set<int>& setFilesToPrune, uint64_t nPruneAfterHeight, int chain_tip_height, int prune_height, bool is_ibd)
-{
- LOCK2(cs_main, cs_LastBlockFile);
- if (chain_tip_height < 0 || nPruneTarget == 0) {
- return;
- }
- if ((uint64_t)chain_tip_height <= nPruneAfterHeight) {
- return;
- }
-
- unsigned int nLastBlockWeCanPrune = std::min(prune_height, chain_tip_height - static_cast<int>(MIN_BLOCKS_TO_KEEP));
- uint64_t nCurrentUsage = CalculateCurrentUsage();
- // We don't check to prune until after we've allocated new space for files
- // So we should leave a buffer under our target to account for another allocation
- // before the next pruning.
- uint64_t nBuffer = BLOCKFILE_CHUNK_SIZE + UNDOFILE_CHUNK_SIZE;
- uint64_t nBytesToPrune;
- int count = 0;
-
- if (nCurrentUsage + nBuffer >= nPruneTarget) {
- // On a prune event, the chainstate DB is flushed.
- // To avoid excessive prune events negating the benefit of high dbcache
- // values, we should not prune too rapidly.
- // So when pruning in IBD, increase the buffer a bit to avoid a re-prune too soon.
- if (is_ibd) {
- // Since this is only relevant during IBD, we use a fixed 10%
- nBuffer += nPruneTarget / 10;
- }
-
- for (int fileNumber = 0; fileNumber < nLastBlockFile; fileNumber++) {
- nBytesToPrune = vinfoBlockFile[fileNumber].nSize + vinfoBlockFile[fileNumber].nUndoSize;
-
- if (vinfoBlockFile[fileNumber].nSize == 0) {
- continue;
- }
-
- if (nCurrentUsage + nBuffer < nPruneTarget) { // are we below our target?
- break;
- }
-
- // don't prune files that could have a block within MIN_BLOCKS_TO_KEEP of the main chain's tip but keep scanning
- if (vinfoBlockFile[fileNumber].nHeightLast > nLastBlockWeCanPrune) {
- continue;
- }
-
- PruneOneBlockFile(fileNumber);
- // Queue up the files for removal
- setFilesToPrune.insert(fileNumber);
- nCurrentUsage -= nBytesToPrune;
- count++;
- }
- }
-
- LogPrint(BCLog::PRUNE, "Prune: target=%dMiB actual=%dMiB diff=%dMiB max_prune_height=%d removed %d blk/rev pairs\n",
- nPruneTarget/1024/1024, nCurrentUsage/1024/1024,
- ((int64_t)nPruneTarget - (int64_t)nCurrentUsage)/1024/1024,
- nLastBlockWeCanPrune, count);
-}
-
-static FlatFileSeq BlockFileSeq()
-{
- return FlatFileSeq(GetBlocksDir(), "blk", gArgs.GetBoolArg("-fastprune", false) ? 0x4000 /* 16kb */ : BLOCKFILE_CHUNK_SIZE);
-}
-
-static FlatFileSeq UndoFileSeq()
-{
- return FlatFileSeq(GetBlocksDir(), "rev", UNDOFILE_CHUNK_SIZE);
-}
-
-FILE* OpenBlockFile(const FlatFilePos &pos, bool fReadOnly) {
- return BlockFileSeq().Open(pos, fReadOnly);
-}
-
-/** Open an undo file (rev?????.dat) */
-static FILE* OpenUndoFile(const FlatFilePos &pos, bool fReadOnly) {
- return UndoFileSeq().Open(pos, fReadOnly);
-}
-
-fs::path GetBlockPosFilename(const FlatFilePos &pos)
-{
- return BlockFileSeq().FileName(pos);
-}
-
-CBlockIndex * BlockManager::InsertBlockIndex(const uint256& hash)
-{
- AssertLockHeld(cs_main);
-
- if (hash.IsNull())
- return nullptr;
-
- // Return existing
- BlockMap::iterator mi = m_block_index.find(hash);
- if (mi != m_block_index.end())
- return (*mi).second;
-
- // Create new
- CBlockIndex* pindexNew = new CBlockIndex();
- mi = m_block_index.insert(std::make_pair(hash, pindexNew)).first;
- pindexNew->phashBlock = &((*mi).first);
-
- return pindexNew;
-}
-
-bool BlockManager::LoadBlockIndex(
- const Consensus::Params& consensus_params,
- CBlockTreeDB& blocktree,
- std::set<CBlockIndex*, CBlockIndexWorkComparator>& block_index_candidates)
-{
- if (!blocktree.LoadBlockIndexGuts(consensus_params, [this](const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main) { return this->InsertBlockIndex(hash); }))
- return false;
-
- // Calculate nChainWork
- std::vector<std::pair<int, CBlockIndex*> > vSortedByHeight;
- vSortedByHeight.reserve(m_block_index.size());
- for (const std::pair<const uint256, CBlockIndex*>& item : m_block_index)
- {
- CBlockIndex* pindex = item.second;
- vSortedByHeight.push_back(std::make_pair(pindex->nHeight, pindex));
- }
- sort(vSortedByHeight.begin(), vSortedByHeight.end());
- for (const std::pair<int, CBlockIndex*>& item : vSortedByHeight)
- {
- if (ShutdownRequested()) return false;
- CBlockIndex* pindex = item.second;
- pindex->nChainWork = (pindex->pprev ? pindex->pprev->nChainWork : 0) + GetBlockProof(*pindex);
- pindex->nTimeMax = (pindex->pprev ? std::max(pindex->pprev->nTimeMax, pindex->nTime) : pindex->nTime);
- // We can link the chain of blocks for which we've received transactions at some point.
- // Pruned nodes may have deleted the block.
- if (pindex->nTx > 0) {
- if (pindex->pprev) {
- if (pindex->pprev->HaveTxsDownloaded()) {
- pindex->nChainTx = pindex->pprev->nChainTx + pindex->nTx;
- } else {
- pindex->nChainTx = 0;
- m_blocks_unlinked.insert(std::make_pair(pindex->pprev, pindex));
- }
- } else {
- pindex->nChainTx = pindex->nTx;
- }
- }
- if (!(pindex->nStatus & BLOCK_FAILED_MASK) && pindex->pprev && (pindex->pprev->nStatus & BLOCK_FAILED_MASK)) {
- pindex->nStatus |= BLOCK_FAILED_CHILD;
- setDirtyBlockIndex.insert(pindex);
- }
- if (pindex->IsValid(BLOCK_VALID_TRANSACTIONS) && (pindex->HaveTxsDownloaded() || pindex->pprev == nullptr)) {
- block_index_candidates.insert(pindex);
- }
- if (pindex->nStatus & BLOCK_FAILED_MASK && (!pindexBestInvalid || pindex->nChainWork > pindexBestInvalid->nChainWork))
- pindexBestInvalid = pindex;
- if (pindex->pprev)
- pindex->BuildSkip();
- if (pindex->IsValid(BLOCK_VALID_TREE) && (pindexBestHeader == nullptr || CBlockIndexWorkComparator()(pindexBestHeader, pindex)))
- pindexBestHeader = pindex;
- }
-
- return true;
-}
-
-void BlockManager::Unload() {
- m_failed_blocks.clear();
- m_blocks_unlinked.clear();
-
- for (const BlockMap::value_type& entry : m_block_index) {
- delete entry.second;
- }
-
- m_block_index.clear();
-}
-
-bool CChainState::LoadBlockIndexDB(const CChainParams& chainparams)
-{
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
- if (!m_blockman.LoadBlockIndex(
- chainparams.GetConsensus(), *pblocktree,
- setBlockIndexCandidates)) {
- return false;
- }
-
- // Load block file info
- pblocktree->ReadLastBlockFile(nLastBlockFile);
- vinfoBlockFile.resize(nLastBlockFile + 1);
- LogPrintf("%s: last block file = %i\n", __func__, nLastBlockFile);
- for (int nFile = 0; nFile <= nLastBlockFile; nFile++) {
- pblocktree->ReadBlockFileInfo(nFile, vinfoBlockFile[nFile]);
- }
- LogPrintf("%s: last block file info: %s\n", __func__, vinfoBlockFile[nLastBlockFile].ToString());
- for (int nFile = nLastBlockFile + 1; true; nFile++) {
- CBlockFileInfo info;
- if (pblocktree->ReadBlockFileInfo(nFile, info)) {
- vinfoBlockFile.push_back(info);
- } else {
- break;
- }
- }
-
- // Check presence of blk files
- LogPrintf("Checking all blk files are present...\n");
- std::set<int> setBlkDataFiles;
- for (const std::pair<const uint256, CBlockIndex*>& item : m_blockman.m_block_index) {
- CBlockIndex* pindex = item.second;
- if (pindex->nStatus & BLOCK_HAVE_DATA) {
- setBlkDataFiles.insert(pindex->nFile);
- }
- }
- for (std::set<int>::iterator it = setBlkDataFiles.begin(); it != setBlkDataFiles.end(); it++)
- {
- FlatFilePos pos(*it, 0);
- if (CAutoFile(OpenBlockFile(pos, true), SER_DISK, CLIENT_VERSION).IsNull()) {
- return false;
- }
- }
-
- // Check whether we have ever pruned block & undo files
- pblocktree->ReadFlag("prunedblockfiles", fHavePruned);
- if (fHavePruned)
- LogPrintf("LoadBlockIndexDB(): Block files have previously been pruned\n");
-
- // Check whether we need to continue reindexing
- bool fReindexing = false;
- pblocktree->ReadReindexing(fReindexing);
- if(fReindexing) fReindex = true;
-
- return true;
-}
-
void CChainState::LoadMempool(const ArgsManager& args)
{
- if (args.GetArg("-persistmempool", DEFAULT_PERSIST_MEMPOOL)) {
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
- ::LoadMempool(m_mempool, *this);
+ if (!m_mempool) return;
+ if (args.GetBoolArg("-persistmempool", DEFAULT_PERSIST_MEMPOOL)) {
+ ::LoadMempool(*m_mempool, *this);
}
- m_mempool.SetIsLoaded(!ShutdownRequested());
+ m_mempool->SetIsLoaded(!ShutdownRequested());
}
-bool CChainState::LoadChainTip(const CChainParams& chainparams)
+bool CChainState::LoadChainTip()
{
AssertLockHeld(cs_main);
const CCoinsViewCache& coins_cache = CoinsTip();
@@ -4226,16 +3816,16 @@ bool CChainState::LoadChainTip(const CChainParams& chainparams)
tip = m_chain.Tip();
LogPrintf("Loaded best chain: hashBestChain=%s height=%d date=%s progress=%f\n",
- tip->GetBlockHash().ToString(),
- m_chain.Height(),
- FormatISO8601DateTime(tip->GetBlockTime()),
- GuessVerificationProgress(chainparams.TxData(), tip));
+ tip->GetBlockHash().ToString(),
+ m_chain.Height(),
+ FormatISO8601DateTime(tip->GetBlockTime()),
+ GuessVerificationProgress(m_params.TxData(), tip));
return true;
}
CVerifyDB::CVerifyDB()
{
- uiInterface.ShowProgress(_("Verifying blocks...").translated, 0, false);
+ uiInterface.ShowProgress(_("Verifying blocks…").translated, 0, false);
}
CVerifyDB::~CVerifyDB()
@@ -4243,47 +3833,54 @@ CVerifyDB::~CVerifyDB()
uiInterface.ShowProgress("", 100, false);
}
-bool CVerifyDB::VerifyDB(const CChainParams& chainparams, CChainState& active_chainstate, CCoinsView *coinsview, int nCheckLevel, int nCheckDepth)
+bool CVerifyDB::VerifyDB(
+ CChainState& chainstate,
+ const Consensus::Params& consensus_params,
+ CCoinsView& coinsview,
+ int nCheckLevel, int nCheckDepth)
{
AssertLockHeld(cs_main);
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
- if (active_chainstate.m_chain.Tip() == nullptr || active_chainstate.m_chain.Tip()->pprev == nullptr)
+ if (chainstate.m_chain.Tip() == nullptr || chainstate.m_chain.Tip()->pprev == nullptr)
return true;
// Verify blocks in the best chain
- if (nCheckDepth <= 0 || nCheckDepth > active_chainstate.m_chain.Height())
- nCheckDepth = active_chainstate.m_chain.Height();
+ if (nCheckDepth <= 0 || nCheckDepth > chainstate.m_chain.Height())
+ nCheckDepth = chainstate.m_chain.Height();
nCheckLevel = std::max(0, std::min(4, nCheckLevel));
LogPrintf("Verifying last %i blocks at level %i\n", nCheckDepth, nCheckLevel);
- CCoinsViewCache coins(coinsview);
+ CCoinsViewCache coins(&coinsview);
CBlockIndex* pindex;
CBlockIndex* pindexFailure = nullptr;
int nGoodTransactions = 0;
BlockValidationState state;
int reportDone = 0;
LogPrintf("[0%%]..."); /* Continued */
- for (pindex = active_chainstate.m_chain.Tip(); pindex && pindex->pprev; pindex = pindex->pprev) {
- const int percentageDone = std::max(1, std::min(99, (int)(((double)(active_chainstate.m_chain.Height() - pindex->nHeight)) / (double)nCheckDepth * (nCheckLevel >= 4 ? 50 : 100))));
+
+ const bool is_snapshot_cs{!chainstate.m_from_snapshot_blockhash};
+
+ for (pindex = chainstate.m_chain.Tip(); pindex && pindex->pprev; pindex = pindex->pprev) {
+ const int percentageDone = std::max(1, std::min(99, (int)(((double)(chainstate.m_chain.Height() - pindex->nHeight)) / (double)nCheckDepth * (nCheckLevel >= 4 ? 50 : 100))));
if (reportDone < percentageDone/10) {
// report every 10% step
LogPrintf("[%d%%]...", percentageDone); /* Continued */
reportDone = percentageDone/10;
}
- uiInterface.ShowProgress(_("Verifying blocks...").translated, percentageDone, false);
- if (pindex->nHeight <= active_chainstate.m_chain.Height()-nCheckDepth)
+ uiInterface.ShowProgress(_("Verifying blocks…").translated, percentageDone, false);
+ if (pindex->nHeight <= chainstate.m_chain.Height()-nCheckDepth)
break;
- if (fPruneMode && !(pindex->nStatus & BLOCK_HAVE_DATA)) {
- // If pruning, only go back as far as we have data.
+ if ((fPruneMode || is_snapshot_cs) && !(pindex->nStatus & BLOCK_HAVE_DATA)) {
+ // If pruning or running under an assumeutxo snapshot, only go
+ // back as far as we have data.
LogPrintf("VerifyDB(): block verification stopping at height %d (pruning, no data)\n", pindex->nHeight);
break;
}
CBlock block;
// check level 0: read from disk
- if (!ReadBlockFromDisk(block, pindex, chainparams.GetConsensus()))
+ if (!ReadBlockFromDisk(block, pindex, consensus_params))
return error("VerifyDB(): *** ReadBlockFromDisk failed at %d, hash=%s", pindex->nHeight, pindex->GetBlockHash().ToString());
// check level 1: verify block validity
- if (nCheckLevel >= 1 && !CheckBlock(block, state, chainparams.GetConsensus()))
+ if (nCheckLevel >= 1 && !CheckBlock(block, state, consensus_params))
return error("%s: *** found bad block at %d, hash=%s (%s)\n", __func__,
pindex->nHeight, pindex->GetBlockHash().ToString(), state.ToString());
// check level 2: verify undo validity
@@ -4296,9 +3893,11 @@ bool CVerifyDB::VerifyDB(const CChainParams& chainparams, CChainState& active_ch
}
}
// check level 3: check for inconsistencies during memory-only disconnect of tip blocks
- if (nCheckLevel >= 3 && (coins.DynamicMemoryUsage() + active_chainstate.CoinsTip().DynamicMemoryUsage()) <= active_chainstate.m_coinstip_cache_size_bytes) {
+ size_t curr_coins_usage = coins.DynamicMemoryUsage() + chainstate.CoinsTip().DynamicMemoryUsage();
+
+ if (nCheckLevel >= 3 && curr_coins_usage <= chainstate.m_coinstip_cache_size_bytes) {
assert(coins.GetBestBlock() == pindex->GetBlockHash());
- DisconnectResult res = active_chainstate.DisconnectBlock(block, pindex, coins);
+ DisconnectResult res = chainstate.DisconnectBlock(block, pindex, coins);
if (res == DISCONNECT_FAILED) {
return error("VerifyDB(): *** irrecoverable inconsistency in block data at %d, hash=%s", pindex->nHeight, pindex->GetBlockHash().ToString());
}
@@ -4312,27 +3911,28 @@ bool CVerifyDB::VerifyDB(const CChainParams& chainparams, CChainState& active_ch
if (ShutdownRequested()) return true;
}
if (pindexFailure)
- return error("VerifyDB(): *** coin database inconsistencies found (last %i blocks, %i good transactions before that)\n", active_chainstate.m_chain.Height() - pindexFailure->nHeight + 1, nGoodTransactions);
+ return error("VerifyDB(): *** coin database inconsistencies found (last %i blocks, %i good transactions before that)\n", chainstate.m_chain.Height() - pindexFailure->nHeight + 1, nGoodTransactions);
// store block count as we move pindex at check level >= 4
- int block_count = active_chainstate.m_chain.Height() - pindex->nHeight;
+ int block_count = chainstate.m_chain.Height() - pindex->nHeight;
// check level 4: try reconnecting blocks
if (nCheckLevel >= 4) {
- while (pindex != active_chainstate.m_chain.Tip()) {
- const int percentageDone = std::max(1, std::min(99, 100 - (int)(((double)(active_chainstate.m_chain.Height() - pindex->nHeight)) / (double)nCheckDepth * 50)));
+ while (pindex != chainstate.m_chain.Tip()) {
+ const int percentageDone = std::max(1, std::min(99, 100 - (int)(((double)(chainstate.m_chain.Height() - pindex->nHeight)) / (double)nCheckDepth * 50)));
if (reportDone < percentageDone/10) {
// report every 10% step
LogPrintf("[%d%%]...", percentageDone); /* Continued */
reportDone = percentageDone/10;
}
- uiInterface.ShowProgress(_("Verifying blocks...").translated, percentageDone, false);
- pindex = active_chainstate.m_chain.Next(pindex);
+ uiInterface.ShowProgress(_("Verifying blocks…").translated, percentageDone, false);
+ pindex = chainstate.m_chain.Next(pindex);
CBlock block;
- if (!ReadBlockFromDisk(block, pindex, chainparams.GetConsensus()))
+ if (!ReadBlockFromDisk(block, pindex, consensus_params))
return error("VerifyDB(): *** ReadBlockFromDisk failed at %d, hash=%s", pindex->nHeight, pindex->GetBlockHash().ToString());
- if (!active_chainstate.ConnectBlock(block, state, pindex, coins, chainparams))
+ if (!chainstate.ConnectBlock(block, state, pindex, coins)) {
return error("VerifyDB(): *** found unconnectable block at %d, hash=%s (%s)", pindex->nHeight, pindex->GetBlockHash().ToString(), state.ToString());
+ }
if (ShutdownRequested()) return true;
}
}
@@ -4344,11 +3944,12 @@ bool CVerifyDB::VerifyDB(const CChainParams& chainparams, CChainState& active_ch
}
/** Apply the effects of a block on the utxo cache, ignoring that it may already have been applied. */
-bool CChainState::RollforwardBlock(const CBlockIndex* pindex, CCoinsViewCache& inputs, const CChainParams& params)
+bool CChainState::RollforwardBlock(const CBlockIndex* pindex, CCoinsViewCache& inputs)
{
+ AssertLockHeld(cs_main);
// TODO: merge with ConnectBlock
CBlock block;
- if (!ReadBlockFromDisk(block, pindex, params.GetConsensus())) {
+ if (!ReadBlockFromDisk(block, pindex, m_params.GetConsensus())) {
return error("ReplayBlock(): ReadBlockFromDisk failed at %d, hash=%s", pindex->nHeight, pindex->GetBlockHash().ToString());
}
@@ -4364,7 +3965,7 @@ bool CChainState::RollforwardBlock(const CBlockIndex* pindex, CCoinsViewCache& i
return true;
}
-bool CChainState::ReplayBlocks(const CChainParams& params)
+bool CChainState::ReplayBlocks()
{
LOCK(cs_main);
@@ -4375,7 +3976,7 @@ bool CChainState::ReplayBlocks(const CChainParams& params)
if (hashHeads.empty()) return true; // We're already in a consistent state.
if (hashHeads.size() != 2) return error("ReplayBlocks(): unknown inconsistent state");
- uiInterface.ShowProgress(_("Replaying blocks...").translated, 0, false);
+ uiInterface.ShowProgress(_("Replaying blocks…").translated, 0, false);
LogPrintf("Replaying blocks\n");
const CBlockIndex* pindexOld = nullptr; // Old tip during the interrupted flush.
@@ -4400,7 +4001,7 @@ bool CChainState::ReplayBlocks(const CChainParams& params)
while (pindexOld != pindexFork) {
if (pindexOld->nHeight > 0) { // Never disconnect the genesis block.
CBlock block;
- if (!ReadBlockFromDisk(block, pindexOld, params.GetConsensus())) {
+ if (!ReadBlockFromDisk(block, pindexOld, m_params.GetConsensus())) {
return error("RollbackBlock(): ReadBlockFromDisk() failed at %d, hash=%s", pindexOld->nHeight, pindexOld->GetBlockHash().ToString());
}
LogPrintf("Rolling back %s (%i)\n", pindexOld->GetBlockHash().ToString(), pindexOld->nHeight);
@@ -4421,8 +4022,8 @@ bool CChainState::ReplayBlocks(const CChainParams& params)
for (int nHeight = nForkHeight + 1; nHeight <= pindexNew->nHeight; ++nHeight) {
const CBlockIndex* pindex = pindexNew->GetAncestor(nHeight);
LogPrintf("Rolling forward %s (%i)\n", pindex->GetBlockHash().ToString(), nHeight);
- uiInterface.ShowProgress(_("Replaying blocks...").translated, (int) ((nHeight - nForkHeight) * 100.0 / (pindexNew->nHeight - nForkHeight)) , false);
- if (!RollforwardBlock(pindex, cache, params)) return false;
+ uiInterface.ShowProgress(_("Replaying blocks…").translated, (int) ((nHeight - nForkHeight) * 100.0 / (pindexNew->nHeight - nForkHeight)) , false);
+ if (!RollforwardBlock(pindex, cache)) return false;
}
cache.SetBestBlock(pindexNew->GetBlockHash());
@@ -4431,146 +4032,27 @@ bool CChainState::ReplayBlocks(const CChainParams& params)
return true;
}
-//! Helper for CChainState::RewindBlockIndex
-void CChainState::EraseBlockData(CBlockIndex* index)
+bool CChainState::NeedsRedownload() const
{
AssertLockHeld(cs_main);
- assert(!m_chain.Contains(index)); // Make sure this block isn't active
-
- // Reduce validity
- index->nStatus = std::min<unsigned int>(index->nStatus & BLOCK_VALID_MASK, BLOCK_VALID_TREE) | (index->nStatus & ~BLOCK_VALID_MASK);
- // Remove have-data flags.
- index->nStatus &= ~(BLOCK_HAVE_DATA | BLOCK_HAVE_UNDO);
- // Remove storage location.
- index->nFile = 0;
- index->nDataPos = 0;
- index->nUndoPos = 0;
- // Remove various other things
- index->nTx = 0;
- index->nChainTx = 0;
- index->nSequenceId = 0;
- // Make sure it gets written.
- setDirtyBlockIndex.insert(index);
- // Update indexes
- setBlockIndexCandidates.erase(index);
- auto ret = m_blockman.m_blocks_unlinked.equal_range(index->pprev);
- while (ret.first != ret.second) {
- if (ret.first->second == index) {
- m_blockman.m_blocks_unlinked.erase(ret.first++);
- } else {
- ++ret.first;
- }
- }
- // Mark parent as eligible for main chain again
- if (index->pprev && index->pprev->IsValid(BLOCK_VALID_TRANSACTIONS) && index->pprev->HaveTxsDownloaded()) {
- setBlockIndexCandidates.insert(index->pprev);
- }
-}
-
-bool CChainState::RewindBlockIndex(const CChainParams& params)
-{
- // Note that during -reindex-chainstate we are called with an empty m_chain!
-
- // First erase all post-segwit blocks without witness not in the main chain,
- // as this can we done without costly DisconnectTip calls. Active
- // blocks will be dealt with below (releasing cs_main in between).
- {
- LOCK(cs_main);
- for (const auto& entry : m_blockman.m_block_index) {
- if (IsWitnessEnabled(entry.second->pprev, params.GetConsensus()) && !(entry.second->nStatus & BLOCK_OPT_WITNESS) && !m_chain.Contains(entry.second)) {
- EraseBlockData(entry.second);
- }
- }
- }
-
- // Find what height we need to reorganize to.
- CBlockIndex *tip;
- int nHeight = 1;
- {
- LOCK(cs_main);
- while (nHeight <= m_chain.Height()) {
- // Although SCRIPT_VERIFY_WITNESS is now generally enforced on all
- // blocks in ConnectBlock, we don't need to go back and
- // re-download/re-verify blocks from before segwit actually activated.
- if (IsWitnessEnabled(m_chain[nHeight - 1], params.GetConsensus()) && !(m_chain[nHeight]->nStatus & BLOCK_OPT_WITNESS)) {
- break;
- }
- nHeight++;
- }
-
- tip = m_chain.Tip();
- }
- // nHeight is now the height of the first insufficiently-validated block, or tipheight + 1
-
- BlockValidationState state;
- // Loop until the tip is below nHeight, or we reach a pruned block.
- while (!ShutdownRequested()) {
- {
- LOCK(cs_main);
- LOCK(m_mempool.cs);
- // Make sure nothing changed from under us (this won't happen because RewindBlockIndex runs before importing/network are active)
- assert(tip == m_chain.Tip());
- if (tip == nullptr || tip->nHeight < nHeight) break;
- if (fPruneMode && !(tip->nStatus & BLOCK_HAVE_DATA)) {
- // If pruning, don't try rewinding past the HAVE_DATA point;
- // since older blocks can't be served anyway, there's
- // no need to walk further, and trying to DisconnectTip()
- // will fail (and require a needless reindex/redownload
- // of the blockchain).
- break;
- }
-
- // Disconnect block
- if (!DisconnectTip(state, params, nullptr)) {
- return error("RewindBlockIndex: unable to disconnect block at height %i (%s)", tip->nHeight, state.ToString());
- }
-
- // Reduce validity flag and have-data flags.
- // We do this after actual disconnecting, otherwise we'll end up writing the lack of data
- // to disk before writing the chainstate, resulting in a failure to continue if interrupted.
- // Note: If we encounter an insufficiently validated block that
- // is on m_chain, it must be because we are a pruning node, and
- // this block or some successor doesn't HAVE_DATA, so we were unable to
- // rewind all the way. Blocks remaining on m_chain at this point
- // must not have their validity reduced.
- EraseBlockData(tip);
-
- tip = tip->pprev;
- }
- // Make sure the queue of validation callbacks doesn't grow unboundedly.
- LimitValidationInterfaceQueue();
-
- // Occasionally flush state to disk.
- if (!FlushStateToDisk(params, state, FlushStateMode::PERIODIC)) {
- LogPrintf("RewindBlockIndex: unable to flush state to disk (%s)\n", state.ToString());
- return false;
- }
- }
-
- {
- LOCK(cs_main);
- if (m_chain.Tip() != nullptr) {
- // We can't prune block index candidates based on our tip if we have
- // no tip due to m_chain being empty!
- PruneBlockIndexCandidates();
- CheckBlockIndex(params.GetConsensus());
+ // At and above m_params.SegwitHeight, segwit consensus rules must be validated
+ CBlockIndex* block{m_chain.Tip()};
- // FlushStateToDisk can possibly read ::ChainActive(). Be conservative
- // and skip it here, we're about to -reindex-chainstate anyway, so
- // it'll get called a bunch real soon.
- BlockValidationState state;
- if (!FlushStateToDisk(params, state, FlushStateMode::ALWAYS)) {
- LogPrintf("RewindBlockIndex: unable to flush state to disk (%s)\n", state.ToString());
- return false;
- }
+ while (block != nullptr && DeploymentActiveAt(*block, m_params.GetConsensus(), Consensus::DEPLOYMENT_SEGWIT)) {
+ if (!(block->nStatus & BLOCK_OPT_WITNESS)) {
+ // block is insufficiently validated for a segwit client
+ return true;
}
+ block = block->pprev;
}
- return true;
+ return false;
}
-void CChainState::UnloadBlockIndex() {
+void CChainState::UnloadBlockIndex()
+{
+ AssertLockHeld(::cs_main);
nBlockSequenceId = 1;
setBlockIndexCandidates.clear();
}
@@ -4582,27 +4064,22 @@ void UnloadBlockIndex(CTxMemPool* mempool, ChainstateManager& chainman)
{
LOCK(cs_main);
chainman.Unload();
- pindexBestInvalid = nullptr;
pindexBestHeader = nullptr;
if (mempool) mempool->clear();
- vinfoBlockFile.clear();
- nLastBlockFile = 0;
- setDirtyBlockIndex.clear();
- setDirtyFileInfo.clear();
- versionbitscache.Clear();
+ g_versionbitscache.Clear();
for (int b = 0; b < VERSIONBITS_NUM_BITS; b++) {
warningcache[b].clear();
}
fHavePruned = false;
}
-bool ChainstateManager::LoadBlockIndex(const CChainParams& chainparams)
+bool ChainstateManager::LoadBlockIndex()
{
AssertLockHeld(cs_main);
// Load block index from databases
bool needs_init = fReindex;
if (!fReindex) {
- bool ret = ActiveChainstate().LoadBlockIndexDB(chainparams);
+ bool ret = m_blockman.LoadBlockIndexDB(*this);
if (!ret) return false;
needs_init = m_blockman.m_block_index.empty();
}
@@ -4619,7 +4096,7 @@ bool ChainstateManager::LoadBlockIndex(const CChainParams& chainparams)
return true;
}
-bool CChainState::LoadGenesisBlock(const CChainParams& chainparams)
+bool CChainState::LoadGenesisBlock()
{
LOCK(cs_main);
@@ -4627,17 +4104,17 @@ bool CChainState::LoadGenesisBlock(const CChainParams& chainparams)
// m_blockman.m_block_index. Note that we can't use m_chain here, since it is
// set based on the coins db, not the block index db, which is the only
// thing loaded at this point.
- if (m_blockman.m_block_index.count(chainparams.GenesisBlock().GetHash()))
+ if (m_blockman.m_block_index.count(m_params.GenesisBlock().GetHash()))
return true;
- assert(std::addressof(::ChainActive()) == std::addressof(m_chain));
try {
- const CBlock& block = chainparams.GenesisBlock();
- FlatFilePos blockPos = SaveBlockToDisk(block, 0, m_chain, chainparams, nullptr);
- if (blockPos.IsNull())
+ const CBlock& block = m_params.GenesisBlock();
+ FlatFilePos blockPos{m_blockman.SaveBlockToDisk(block, 0, m_chain, m_params, nullptr)};
+ if (blockPos.IsNull()) {
return error("%s: writing genesis block to disk failed", __func__);
+ }
CBlockIndex *pindex = m_blockman.AddToBlockIndex(block);
- ReceivedBlockTransactions(block, pindex, blockPos, chainparams.GetConsensus());
+ ReceivedBlockTransactions(block, pindex, blockPos);
} catch (const std::runtime_error& e) {
return error("%s: failed to write genesis block: %s", __func__, e.what());
}
@@ -4645,8 +4122,9 @@ bool CChainState::LoadGenesisBlock(const CChainParams& chainparams)
return true;
}
-void CChainState::LoadExternalBlockFile(const CChainParams& chainparams, FILE* fileIn, FlatFilePos* dbp)
+void CChainState::LoadExternalBlockFile(FILE* fileIn, FlatFilePos* dbp)
{
+ AssertLockNotHeld(m_chainstate_mutex);
// Map of disk positions for blocks with unknown parent (only used for reindex)
static std::multimap<uint256, FlatFilePos> mapBlocksUnknownParent;
int64_t nStart = GetTimeMillis();
@@ -4666,11 +4144,12 @@ void CChainState::LoadExternalBlockFile(const CChainParams& chainparams, FILE* f
try {
// locate a header
unsigned char buf[CMessageHeader::MESSAGE_START_SIZE];
- blkdat.FindByte(chainparams.MessageStart()[0]);
- nRewind = blkdat.GetPos()+1;
+ blkdat.FindByte(m_params.MessageStart()[0]);
+ nRewind = blkdat.GetPos() + 1;
blkdat >> buf;
- if (memcmp(buf, chainparams.MessageStart(), CMessageHeader::MESSAGE_START_SIZE))
+ if (memcmp(buf, m_params.MessageStart(), CMessageHeader::MESSAGE_START_SIZE)) {
continue;
+ }
// read size
blkdat >> nSize;
if (nSize < 80 || nSize > MAX_BLOCK_SERIALIZED_SIZE)
@@ -4694,8 +4173,7 @@ void CChainState::LoadExternalBlockFile(const CChainParams& chainparams, FILE* f
{
LOCK(cs_main);
// detect out of order blocks, and store them for later
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(m_blockman));
- if (hash != chainparams.GetConsensus().hashGenesisBlock && !m_blockman.LookupBlockIndex(block.hashPrevBlock)) {
+ if (hash != m_params.GetConsensus().hashGenesisBlock && !m_blockman.LookupBlockIndex(block.hashPrevBlock)) {
LogPrint(BCLog::REINDEX, "%s: Out of order block %s, parent %s not known\n", __func__, hash.ToString(),
block.hashPrevBlock.ToString());
if (dbp)
@@ -4704,32 +4182,28 @@ void CChainState::LoadExternalBlockFile(const CChainParams& chainparams, FILE* f
}
// process in case the block isn't known yet
- assert(std::addressof(g_chainman.m_blockman) == std::addressof(m_blockman));
CBlockIndex* pindex = m_blockman.LookupBlockIndex(hash);
if (!pindex || (pindex->nStatus & BLOCK_HAVE_DATA) == 0) {
BlockValidationState state;
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
- if (AcceptBlock(pblock, state, chainparams, nullptr, true, dbp, nullptr)) {
+ if (AcceptBlock(pblock, state, nullptr, true, dbp, nullptr)) {
nLoaded++;
}
if (state.IsError()) {
break;
}
- } else if (hash != chainparams.GetConsensus().hashGenesisBlock && pindex->nHeight % 1000 == 0) {
- LogPrint(BCLog::REINDEX, "Block Import: already had block %s at height %d\n", hash.ToString(), pindex->nHeight);
+ } else if (hash != m_params.GetConsensus().hashGenesisBlock && pindex->nHeight % 1000 == 0) {
+ LogPrint(BCLog::REINDEX, "Block Import: already had block %s at height %d\n", hash.ToString(), pindex->nHeight);
}
}
// Activate the genesis block so normal node progress can continue
- if (hash == chainparams.GetConsensus().hashGenesisBlock) {
+ if (hash == m_params.GetConsensus().hashGenesisBlock) {
BlockValidationState state;
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
- if (!ActivateBestChain(state, chainparams, nullptr)) {
+ if (!ActivateBestChain(state, nullptr)) {
break;
}
}
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
NotifyHeaderTip(*this);
// Recursively process earlier encountered successors of this block
@@ -4742,22 +4216,18 @@ void CChainState::LoadExternalBlockFile(const CChainParams& chainparams, FILE* f
while (range.first != range.second) {
std::multimap<uint256, FlatFilePos>::iterator it = range.first;
std::shared_ptr<CBlock> pblockrecursive = std::make_shared<CBlock>();
- if (ReadBlockFromDisk(*pblockrecursive, it->second, chainparams.GetConsensus()))
- {
+ if (ReadBlockFromDisk(*pblockrecursive, it->second, m_params.GetConsensus())) {
LogPrint(BCLog::REINDEX, "%s: Processing out of order child %s of %s\n", __func__, pblockrecursive->GetHash().ToString(),
head.ToString());
LOCK(cs_main);
BlockValidationState dummy;
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
- if (AcceptBlock(pblockrecursive, dummy, chainparams, nullptr, true, &it->second, nullptr))
- {
+ if (AcceptBlock(pblockrecursive, dummy, nullptr, true, &it->second, nullptr)) {
nLoaded++;
queue.push_back(pblockrecursive->GetHash());
}
}
range.first++;
mapBlocksUnknownParent.erase(it);
- assert(std::addressof(::ChainstateActive()) == std::addressof(*this));
NotifyHeaderTip(*this);
}
}
@@ -4771,7 +4241,7 @@ void CChainState::LoadExternalBlockFile(const CChainParams& chainparams, FILE* f
LogPrintf("Loaded %i blocks from external file in %dms\n", nLoaded, GetTimeMillis() - nStart);
}
-void CChainState::CheckBlockIndex(const Consensus::Params& consensusParams)
+void CChainState::CheckBlockIndex()
{
if (!fCheckBlockIndex) {
return;
@@ -4815,23 +4285,46 @@ void CChainState::CheckBlockIndex(const Consensus::Params& consensusParams)
while (pindex != nullptr) {
nNodes++;
if (pindexFirstInvalid == nullptr && pindex->nStatus & BLOCK_FAILED_VALID) pindexFirstInvalid = pindex;
- if (pindexFirstMissing == nullptr && !(pindex->nStatus & BLOCK_HAVE_DATA)) pindexFirstMissing = pindex;
+ // Assumed-valid index entries will not have data since we haven't downloaded the
+ // full block yet.
+ if (pindexFirstMissing == nullptr && !(pindex->nStatus & BLOCK_HAVE_DATA) && !pindex->IsAssumedValid()) {
+ pindexFirstMissing = pindex;
+ }
if (pindexFirstNeverProcessed == nullptr && pindex->nTx == 0) pindexFirstNeverProcessed = pindex;
if (pindex->pprev != nullptr && pindexFirstNotTreeValid == nullptr && (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_TREE) pindexFirstNotTreeValid = pindex;
- if (pindex->pprev != nullptr && pindexFirstNotTransactionsValid == nullptr && (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_TRANSACTIONS) pindexFirstNotTransactionsValid = pindex;
- if (pindex->pprev != nullptr && pindexFirstNotChainValid == nullptr && (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_CHAIN) pindexFirstNotChainValid = pindex;
- if (pindex->pprev != nullptr && pindexFirstNotScriptsValid == nullptr && (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_SCRIPTS) pindexFirstNotScriptsValid = pindex;
+
+ if (pindex->pprev != nullptr && !pindex->IsAssumedValid()) {
+ // Skip validity flag checks for BLOCK_ASSUMED_VALID index entries, since these
+ // *_VALID_MASK flags will not be present for index entries we are temporarily assuming
+ // valid.
+ if (pindexFirstNotTransactionsValid == nullptr &&
+ (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_TRANSACTIONS) {
+ pindexFirstNotTransactionsValid = pindex;
+ }
+
+ if (pindexFirstNotChainValid == nullptr &&
+ (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_CHAIN) {
+ pindexFirstNotChainValid = pindex;
+ }
+
+ if (pindexFirstNotScriptsValid == nullptr &&
+ (pindex->nStatus & BLOCK_VALID_MASK) < BLOCK_VALID_SCRIPTS) {
+ pindexFirstNotScriptsValid = pindex;
+ }
+ }
// Begin: actual consistency checks.
if (pindex->pprev == nullptr) {
// Genesis block checks.
- assert(pindex->GetBlockHash() == consensusParams.hashGenesisBlock); // Genesis block's hash must match.
+ assert(pindex->GetBlockHash() == m_params.GetConsensus().hashGenesisBlock); // Genesis block's hash must match.
assert(pindex == m_chain.Genesis()); // The current active chain's genesis block must be this block.
}
if (!pindex->HaveTxsDownloaded()) assert(pindex->nSequenceId <= 0); // nSequenceId can't be set positive for blocks that aren't linked (negative is used for preciousblock)
// VALID_TRANSACTIONS is equivalent to nTx > 0 for all nodes (whether or not pruning has occurred).
// HAVE_DATA is only equivalent to nTx > 0 (or VALID_TRANSACTIONS) if no pruning has occurred.
- if (!fHavePruned) {
+ // Unless these indexes are assumed valid and pending block download on a
+ // background chainstate.
+ if (!fHavePruned && !pindex->IsAssumedValid()) {
// If we've never pruned, then HAVE_DATA should be equivalent to nTx > 0
assert(!(pindex->nStatus & BLOCK_HAVE_DATA) == (pindex->nTx == 0));
assert(pindexFirstMissing == pindexFirstNeverProcessed);
@@ -4840,7 +4333,16 @@ void CChainState::CheckBlockIndex(const Consensus::Params& consensusParams)
if (pindex->nStatus & BLOCK_HAVE_DATA) assert(pindex->nTx > 0);
}
if (pindex->nStatus & BLOCK_HAVE_UNDO) assert(pindex->nStatus & BLOCK_HAVE_DATA);
- assert(((pindex->nStatus & BLOCK_VALID_MASK) >= BLOCK_VALID_TRANSACTIONS) == (pindex->nTx > 0)); // This is pruning-independent.
+ if (pindex->IsAssumedValid()) {
+ // Assumed-valid blocks should have some nTx value.
+ assert(pindex->nTx > 0);
+ // Assumed-valid blocks should connect to the main chain.
+ assert((pindex->nStatus & BLOCK_VALID_MASK) >= BLOCK_VALID_TREE);
+ } else {
+ // Otherwise there should only be an nTx value if we have
+ // actually seen a block's transactions.
+ assert(((pindex->nStatus & BLOCK_VALID_MASK) >= BLOCK_VALID_TRANSACTIONS) == (pindex->nTx > 0)); // This is pruning-independent.
+ }
// All parents having had data (at some point) is equivalent to all parents being VALID_TRANSACTIONS, which is equivalent to HaveTxsDownloaded().
assert((pindexFirstNeverProcessed == nullptr) == pindex->HaveTxsDownloaded());
assert((pindexFirstNotTransactionsValid == nullptr) == pindex->HaveTxsDownloaded());
@@ -4857,11 +4359,17 @@ void CChainState::CheckBlockIndex(const Consensus::Params& consensusParams)
}
if (!CBlockIndexWorkComparator()(pindex, m_chain.Tip()) && pindexFirstNeverProcessed == nullptr) {
if (pindexFirstInvalid == nullptr) {
+ const bool is_active = this == &m_chainman.ActiveChainstate();
+
// If this block sorts at least as good as the current tip and
// is valid and we have all data for its parents, it must be in
// setBlockIndexCandidates. m_chain.Tip() must also be there
// even if some data has been pruned.
- if (pindexFirstMissing == nullptr || pindex == m_chain.Tip()) {
+ //
+ // Don't perform this check for the background chainstate since
+ // its setBlockIndexCandidates shouldn't have some entries (i.e. those past the
+ // snapshot block) which do exist in the block index for the active chainstate.
+ if (is_active && (pindexFirstMissing == nullptr || pindex == m_chain.Tip())) {
assert(setBlockIndexCandidates.count(pindex));
}
// If some parent is missing, then it could be that this block was in
@@ -4957,14 +4465,16 @@ void CChainState::CheckBlockIndex(const Consensus::Params& consensusParams)
std::string CChainState::ToString()
{
+ AssertLockHeld(::cs_main);
CBlockIndex* tip = m_chain.Tip();
return strprintf("Chainstate [%s] @ height %d (%s)",
- m_from_snapshot_blockhash.IsNull() ? "ibd" : "snapshot",
- tip ? tip->nHeight : -1, tip ? tip->GetBlockHash().ToString() : "null");
+ m_from_snapshot_blockhash ? "snapshot" : "ibd",
+ tip ? tip->nHeight : -1, tip ? tip->GetBlockHash().ToString() : "null");
}
bool CChainState::ResizeCoinsCaches(size_t coinstip_size, size_t coinsdb_size)
{
+ AssertLockHeld(::cs_main);
if (coinstip_size == m_coinstip_cache_size_bytes &&
coinsdb_size == m_coinsdb_cache_size_bytes) {
// Cache sizes are unchanged, no need to continue.
@@ -4981,40 +4491,25 @@ bool CChainState::ResizeCoinsCaches(size_t coinstip_size, size_t coinsdb_size)
this->ToString(), coinstip_size * (1.0 / 1024 / 1024));
BlockValidationState state;
- const CChainParams& chainparams = Params();
-
bool ret;
if (coinstip_size > old_coinstip_size) {
// Likely no need to flush if cache sizes have grown.
- ret = FlushStateToDisk(chainparams, state, FlushStateMode::IF_NEEDED);
+ ret = FlushStateToDisk(state, FlushStateMode::IF_NEEDED);
} else {
// Otherwise, flush state to disk and deallocate the in-memory coins map.
- ret = FlushStateToDisk(chainparams, state, FlushStateMode::ALWAYS);
+ ret = FlushStateToDisk(state, FlushStateMode::ALWAYS);
CoinsTip().ReallocateCache();
}
return ret;
}
-std::string CBlockFileInfo::ToString() const
-{
- return strprintf("CBlockFileInfo(blocks=%u, size=%u, heights=%u...%u, time=%s...%s)", nBlocks, nSize, nHeightFirst, nHeightLast, FormatISO8601Date(nTimeFirst), FormatISO8601Date(nTimeLast));
-}
-
-CBlockFileInfo* GetBlockFileInfo(size_t n)
-{
- LOCK(cs_LastBlockFile);
-
- return &vinfoBlockFile.at(n);
-}
-
static const uint64_t MEMPOOL_DUMP_VERSION = 1;
-bool LoadMempool(CTxMemPool& pool, CChainState& active_chainstate)
+bool LoadMempool(CTxMemPool& pool, CChainState& active_chainstate, FopenFn mockable_fopen_function)
{
- const CChainParams& chainparams = Params();
- int64_t nExpiryTimeout = gArgs.GetArg("-mempoolexpiry", DEFAULT_MEMPOOL_EXPIRY) * 60 * 60;
- FILE* filestr = fsbridge::fopen(GetDataDir() / "mempool.dat", "rb");
+ int64_t nExpiryTimeout = gArgs.GetIntArg("-mempoolexpiry", DEFAULT_MEMPOOL_EXPIRY) * 60 * 60;
+ FILE* filestr{mockable_fopen_function(gArgs.GetDataDirNet() / "mempool.dat", "rb")};
CAutoFile file(filestr, SER_DISK, CLIENT_VERSION);
if (file.IsNull()) {
LogPrintf("Failed to open mempool file from disk. Continuing anyway.\n");
@@ -5036,7 +4531,8 @@ bool LoadMempool(CTxMemPool& pool, CChainState& active_chainstate)
}
uint64_t num;
file >> num;
- while (num--) {
+ while (num) {
+ --num;
CTransactionRef tx;
int64_t nTime;
int64_t nFeeDelta;
@@ -5050,16 +4546,15 @@ bool LoadMempool(CTxMemPool& pool, CChainState& active_chainstate)
}
if (nTime > nNow - nExpiryTimeout) {
LOCK(cs_main);
- assert(std::addressof(::ChainstateActive()) == std::addressof(active_chainstate));
- if (AcceptToMemoryPoolWithTime(chainparams, pool, active_chainstate, tx, nTime, false /* bypass_limits */,
- false /* test_accept */).m_result_type == MempoolAcceptResult::ResultType::VALID) {
+ const auto& accepted = AcceptToMemoryPool(active_chainstate, tx, nTime, /*bypass_limits=*/false, /*test_accept=*/false);
+ if (accepted.m_result_type == MempoolAcceptResult::ResultType::VALID) {
++count;
} else {
// mempool may contain the transaction already, e.g. from
// wallet(s) having loaded it while we were processing
// mempool transactions; consider these as valid, instead of
// failed, but mark them as 'already there'
- if (pool.exists(tx->GetHash())) {
+ if (pool.exists(GenTxid::Txid(tx->GetHash()))) {
++already_there;
} else {
++failed;
@@ -5095,7 +4590,7 @@ bool LoadMempool(CTxMemPool& pool, CChainState& active_chainstate)
return true;
}
-bool DumpMempool(const CTxMemPool& pool)
+bool DumpMempool(const CTxMemPool& pool, FopenFn mockable_fopen_function, bool skip_file_commit)
{
int64_t start = GetTimeMicros();
@@ -5118,7 +4613,7 @@ bool DumpMempool(const CTxMemPool& pool)
int64_t mid = GetTimeMicros();
try {
- FILE* filestr = fsbridge::fopen(GetDataDir() / "mempool.dat.new", "wb");
+ FILE* filestr{mockable_fopen_function(gArgs.GetDataDirNet() / "mempool.dat.new", "wb")};
if (!filestr) {
return false;
}
@@ -5141,10 +4636,10 @@ bool DumpMempool(const CTxMemPool& pool)
LogPrintf("Writing %d unbroadcast transactions to disk.\n", unbroadcast_txids.size());
file << unbroadcast_txids;
- if (!FileCommit(file.Get()))
+ if (!skip_file_commit && !FileCommit(file.Get()))
throw std::runtime_error("FileCommit failed");
file.fclose();
- if (!RenameOver(GetDataDir() / "mempool.dat.new", GetDataDir() / "mempool.dat")) {
+ if (!RenameOver(gArgs.GetDataDirNet() / "mempool.dat.new", gArgs.GetDataDirNet() / "mempool.dat")) {
throw std::runtime_error("Rename failed");
}
int64_t last = GetTimeMicros();
@@ -5175,14 +4670,14 @@ double GuessVerificationProgress(const ChainTxData& data, const CBlockIndex *pin
return std::min<double>(pindex->nChainTx / fTxTotal, 1.0);
}
-Optional<uint256> ChainstateManager::SnapshotBlockhash() const {
+std::optional<uint256> ChainstateManager::SnapshotBlockhash() const
+{
LOCK(::cs_main);
- if (m_active_chainstate != nullptr &&
- !m_active_chainstate->m_from_snapshot_blockhash.IsNull()) {
+ if (m_active_chainstate && m_active_chainstate->m_from_snapshot_blockhash) {
// If a snapshot chainstate exists, it will always be our active.
return m_active_chainstate->m_from_snapshot_blockhash;
}
- return {};
+ return std::nullopt;
}
std::vector<CChainState*> ChainstateManager::GetAll()
@@ -5201,16 +4696,18 @@ std::vector<CChainState*> ChainstateManager::GetAll()
return out;
}
-CChainState& ChainstateManager::InitializeChainstate(CTxMemPool& mempool, const uint256& snapshot_blockhash)
+CChainState& ChainstateManager::InitializeChainstate(
+ CTxMemPool* mempool, const std::optional<uint256>& snapshot_blockhash)
{
- bool is_snapshot = !snapshot_blockhash.IsNull();
+ AssertLockHeld(::cs_main);
+ bool is_snapshot = snapshot_blockhash.has_value();
std::unique_ptr<CChainState>& to_modify =
is_snapshot ? m_snapshot_chainstate : m_ibd_chainstate;
if (to_modify) {
throw std::logic_error("should not be overwriting a chainstate");
}
- to_modify.reset(new CChainState(mempool, m_blockman, snapshot_blockhash));
+ to_modify.reset(new CChainState(mempool, m_blockman, *this, snapshot_blockhash));
// Snapshot chainstates and initial IBD chaintates always become active.
if (is_snapshot || (!is_snapshot && !m_active_chainstate)) {
@@ -5279,8 +4776,9 @@ bool ChainstateManager::ActivateSnapshot(
static_cast<size_t>(current_coinsdb_cache_size * IBD_CACHE_PERC));
}
- auto snapshot_chainstate = WITH_LOCK(::cs_main, return MakeUnique<CChainState>(
- this->ActiveChainstate().m_mempool, m_blockman, base_blockhash));
+ auto snapshot_chainstate = WITH_LOCK(::cs_main,
+ return std::make_unique<CChainState>(
+ /* mempool */ nullptr, m_blockman, *this, base_blockhash));
{
LOCK(::cs_main);
@@ -5303,7 +4801,7 @@ bool ChainstateManager::ActivateSnapshot(
LOCK(::cs_main);
assert(!m_snapshot_chainstate);
m_snapshot_chainstate.swap(snapshot_chainstate);
- const bool chaintip_loaded = m_snapshot_chainstate->LoadChainTip(::Params());
+ const bool chaintip_loaded = m_snapshot_chainstate->LoadChainTip();
assert(chaintip_loaded);
m_active_chainstate = m_snapshot_chainstate.get();
@@ -5317,6 +4815,17 @@ bool ChainstateManager::ActivateSnapshot(
return true;
}
+static void FlushSnapshotToDisk(CCoinsViewCache& coins_cache, bool snapshot_loaded)
+{
+ LOG_TIME_MILLIS_WITH_CATEGORY_MSG_ONCE(
+ strprintf("%s (%.2f MB)",
+ snapshot_loaded ? "saving snapshot chainstate" : "flushing coins cache",
+ coins_cache.DynamicMemoryUsage() / (1000 * 1000)),
+ BCLog::LogFlags::ALL);
+
+ coins_cache.Flush();
+}
+
bool ChainstateManager::PopulateAndValidateSnapshot(
CChainState& snapshot_chainstate,
CAutoFile& coins_file,
@@ -5328,24 +4837,51 @@ bool ChainstateManager::PopulateAndValidateSnapshot(
uint256 base_blockhash = metadata.m_base_blockhash;
+ CBlockIndex* snapshot_start_block = WITH_LOCK(::cs_main, return m_blockman.LookupBlockIndex(base_blockhash));
+
+ if (!snapshot_start_block) {
+ // Needed for GetUTXOStats and ExpectedAssumeutxo to determine the height and to avoid a crash when base_blockhash.IsNull()
+ LogPrintf("[snapshot] Did not find snapshot start blockheader %s\n",
+ base_blockhash.ToString());
+ return false;
+ }
+
+ int base_height = snapshot_start_block->nHeight;
+ auto maybe_au_data = ExpectedAssumeutxo(base_height, ::Params());
+
+ if (!maybe_au_data) {
+ LogPrintf("[snapshot] assumeutxo height in snapshot metadata not recognized " /* Continued */
+ "(%d) - refusing to load snapshot\n", base_height);
+ return false;
+ }
+
+ const AssumeutxoData& au_data = *maybe_au_data;
+
COutPoint outpoint;
Coin coin;
const uint64_t coins_count = metadata.m_coins_count;
uint64_t coins_left = metadata.m_coins_count;
LogPrintf("[snapshot] loading coins from snapshot %s\n", base_blockhash.ToString());
- int64_t flush_now{0};
int64_t coins_processed{0};
while (coins_left > 0) {
try {
coins_file >> outpoint;
+ coins_file >> coin;
} catch (const std::ios_base::failure&) {
- LogPrintf("[snapshot] bad snapshot - no coins left after deserializing %d coins\n",
- coins_count - coins_left);
+ LogPrintf("[snapshot] bad snapshot format or truncated snapshot after deserializing %d coins\n",
+ coins_count - coins_left);
+ return false;
+ }
+ if (coin.nHeight > base_height ||
+ outpoint.n >= std::numeric_limits<decltype(outpoint.n)>::max() // Avoid integer wrap-around in coinstats.cpp:ApplyHash
+ ) {
+ LogPrintf("[snapshot] bad snapshot data after deserializing %d coins\n",
+ coins_count - coins_left);
return false;
}
- coins_file >> coin;
+
coins_cache.EmplaceCoinInternalDANGER(std::move(outpoint), std::move(coin));
--coins_left;
@@ -5368,21 +4904,16 @@ bool ChainstateManager::PopulateAndValidateSnapshot(
}
const auto snapshot_cache_state = WITH_LOCK(::cs_main,
- return snapshot_chainstate.GetCoinsCacheSizeState(&snapshot_chainstate.m_mempool));
-
- if (snapshot_cache_state >=
- CoinsCacheSizeState::CRITICAL) {
- LogPrintf("[snapshot] flushing coins cache (%.2f MB)... ", /* Continued */
- coins_cache.DynamicMemoryUsage() / (1000 * 1000));
- flush_now = GetTimeMillis();
+ return snapshot_chainstate.GetCoinsCacheSizeState());
+ if (snapshot_cache_state >= CoinsCacheSizeState::CRITICAL) {
// This is a hack - we don't know what the actual best block is, but that
// doesn't matter for the purposes of flushing the cache here. We'll set this
// to its correct value (`base_blockhash`) below after the coins are loaded.
coins_cache.SetBestBlock(GetRandHash());
- coins_cache.Flush();
- LogPrintf("done (%.2fms)\n", GetTimeMillis() - flush_now);
+ // No need to acquire cs_main since this chainstate isn't being used yet.
+ FlushSnapshotToDisk(coins_cache, /*snapshot_loaded=*/false);
}
}
}
@@ -5412,63 +4943,25 @@ bool ChainstateManager::PopulateAndValidateSnapshot(
coins_cache.DynamicMemoryUsage() / (1000 * 1000),
base_blockhash.ToString());
- LogPrintf("[snapshot] flushing snapshot chainstate to disk\n");
// No need to acquire cs_main since this chainstate isn't being used yet.
- coins_cache.Flush(); // TODO: if #17487 is merged, add erase=false here for better performance.
+ FlushSnapshotToDisk(coins_cache, /*snapshot_loaded=*/true);
assert(coins_cache.GetBestBlock() == base_blockhash);
- CCoinsStats stats;
+ CCoinsStats stats{CoinStatsHashType::HASH_SERIALIZED};
auto breakpoint_fnc = [] { /* TODO insert breakpoint here? */ };
// As above, okay to immediately release cs_main here since no other context knows
// about the snapshot_chainstate.
CCoinsViewDB* snapshot_coinsdb = WITH_LOCK(::cs_main, return &snapshot_chainstate.CoinsDB());
- if (!GetUTXOStats(snapshot_coinsdb, stats, CoinStatsHashType::HASH_SERIALIZED, breakpoint_fnc)) {
+ if (!GetUTXOStats(snapshot_coinsdb, m_blockman, stats, breakpoint_fnc)) {
LogPrintf("[snapshot] failed to generate coins stats\n");
return false;
}
- // Ensure that the base blockhash appears in the known chain of valid headers. We're willing to
- // wait a bit here because the snapshot may have been loaded on startup, before we've
- // received headers from the network.
-
- int max_secs_to_wait_for_headers = 60 * 10;
- CBlockIndex* snapshot_start_block = nullptr;
-
- while (max_secs_to_wait_for_headers > 0) {
- snapshot_start_block = WITH_LOCK(::cs_main,
- return m_blockman.LookupBlockIndex(base_blockhash));
- --max_secs_to_wait_for_headers;
-
- if (!snapshot_start_block) {
- std::this_thread::sleep_for(std::chrono::seconds(1));
- } else {
- break;
- }
- }
-
- if (snapshot_start_block == nullptr) {
- LogPrintf("[snapshot] timed out waiting for snapshot start blockheader %s\n",
- base_blockhash.ToString());
- return false;
- }
-
// Assert that the deserialized chainstate contents match the expected assumeutxo value.
-
- int base_height = snapshot_start_block->nHeight;
- auto maybe_au_data = ExpectedAssumeutxo(base_height, ::Params());
-
- if (!maybe_au_data) {
- LogPrintf("[snapshot] assumeutxo height in snapshot metadata not recognized " /* Continued */
- "(%d) - refusing to load snapshot\n", base_height);
- return false;
- }
-
- const AssumeutxoData& au_data = *maybe_au_data;
-
- if (stats.hashSerialized != au_data.hash_serialized) {
+ if (AssumeutxoHash{stats.hashSerialized} != au_data.hash_serialized) {
LogPrintf("[snapshot] bad snapshot content hash: expected %s, got %s\n",
au_data.hash_serialized.ToString(), stats.hashSerialized.ToString());
return false;
@@ -5480,31 +4973,48 @@ bool ChainstateManager::PopulateAndValidateSnapshot(
LOCK(::cs_main);
// Fake various pieces of CBlockIndex state:
- //
- // - nChainTx: so that we accurately report IBD-to-tip progress
- // - nTx: so that LoadBlockIndex() loads assumed-valid CBlockIndex entries
- // (among other things)
- // - nStatus & BLOCK_OPT_WITNESS: so that RewindBlockIndex() doesn't zealously
- // unwind the assumed-valid chain.
- //
CBlockIndex* index = nullptr;
- for (int i = 0; i <= snapshot_chainstate.m_chain.Height(); ++i) {
+
+ // Don't make any modifications to the genesis block.
+ // This is especially important because we don't want to erroneously
+ // apply BLOCK_ASSUMED_VALID to genesis, which would happen if we didn't skip
+ // it here (since it apparently isn't BLOCK_VALID_SCRIPTS).
+ constexpr int AFTER_GENESIS_START{1};
+
+ for (int i = AFTER_GENESIS_START; i <= snapshot_chainstate.m_chain.Height(); ++i) {
index = snapshot_chainstate.m_chain[i];
+ // Fake nTx so that LoadBlockIndex() loads assumed-valid CBlockIndex
+ // entries (among other things)
if (!index->nTx) {
index->nTx = 1;
}
- index->nChainTx = index->pprev ? index->pprev->nChainTx + index->nTx : 1;
+ // Fake nChainTx so that GuessVerificationProgress reports accurately
+ index->nChainTx = index->pprev->nChainTx + index->nTx;
+
+ // Mark unvalidated block index entries beneath the snapshot base block as assumed-valid.
+ if (!index->IsValid(BLOCK_VALID_SCRIPTS)) {
+ // This flag will be removed once the block is fully validated by a
+ // background chainstate.
+ index->nStatus |= BLOCK_ASSUMED_VALID;
+ }
- // We need to fake this flag so that CChainState::RewindBlockIndex()
- // won't try to rewind the entire assumed-valid chain on startup.
- if (index->pprev && ::IsWitnessEnabled(index->pprev, ::Params().GetConsensus())) {
+ // Fake BLOCK_OPT_WITNESS so that CChainState::NeedsRedownload()
+ // won't ask to rewind the entire assumed-valid chain on startup.
+ if (DeploymentActiveAt(*index, ::Params().GetConsensus(), Consensus::DEPLOYMENT_SEGWIT)) {
index->nStatus |= BLOCK_OPT_WITNESS;
}
+
+ m_blockman.m_dirty_blockindex.insert(index);
+ // Changes to the block index will be flushed to disk after this call
+ // returns in `ActivateSnapshot()`, when `MaybeRebalanceCaches()` is
+ // called, since we've added a snapshot chainstate and therefore will
+ // have to downsize the IBD chainstate, which will result in a call to
+ // `FlushStateToDisk(ALWAYS)`.
}
assert(index);
- index->nChainTx = metadata.m_nchaintx;
+ index->nChainTx = au_data.nChainTx;
snapshot_chainstate.setBlockIndexCandidates.insert(snapshot_start_block);
LogPrintf("[snapshot] validated snapshot (%.2f MB)\n",
@@ -5525,30 +5035,17 @@ bool ChainstateManager::IsSnapshotActive() const
return m_snapshot_chainstate && m_active_chainstate == m_snapshot_chainstate.get();
}
-CChainState& ChainstateManager::ValidatedChainstate() const
-{
- LOCK(::cs_main);
- if (m_snapshot_chainstate && IsSnapshotValidated()) {
- return *m_snapshot_chainstate.get();
- }
- assert(m_ibd_chainstate);
- return *m_ibd_chainstate.get();
-}
-
-bool ChainstateManager::IsBackgroundIBD(CChainState* chainstate) const
-{
- LOCK(::cs_main);
- return (m_snapshot_chainstate && chainstate == m_ibd_chainstate.get());
-}
-
void ChainstateManager::Unload()
{
+ AssertLockHeld(::cs_main);
for (CChainState* chainstate : this->GetAll()) {
chainstate->m_chain.SetTip(nullptr);
chainstate->UnloadBlockIndex();
}
+ m_failed_blocks.clear();
m_blockman.Unload();
+ m_best_invalid = nullptr;
}
void ChainstateManager::Reset()
@@ -5562,6 +5059,7 @@ void ChainstateManager::Reset()
void ChainstateManager::MaybeRebalanceCaches()
{
+ AssertLockHeld(::cs_main);
if (m_ibd_chainstate && !m_snapshot_chainstate) {
LogPrintf("[snapshot] allocating all cache to the IBD chainstate\n");
// Allocate everything to the IBD chainstate.
diff --git a/src/validation.h b/src/validation.h
index 74f8541934..968f62aa9a 100644
--- a/src/validation.h
+++ b/src/validation.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,52 +10,47 @@
#include <config/bitcoin-config.h>
#endif
-#include <amount.h>
+#include <arith_uint256.h>
#include <attributes.h>
-#include <coins.h>
-#include <consensus/validation.h>
-#include <crypto/common.h> // for ReadLE64
+#include <chain.h>
+#include <consensus/amount.h>
#include <fs.h>
-#include <node/utxo_snapshot.h>
-#include <optional.h>
+#include <node/blockstorage.h>
#include <policy/feerate.h>
-#include <protocol.h> // For CMessageHeader::MessageStartChars
+#include <policy/packages.h>
#include <script/script_error.h>
#include <sync.h>
-#include <txmempool.h> // For CTxMemPool::cs
#include <txdb.h>
-#include <versionbits.h>
-#include <serialize.h>
+#include <txmempool.h> // For CTxMemPool::cs
+#include <uint256.h>
#include <util/check.h>
#include <util/hasher.h>
+#include <util/translation.h>
#include <atomic>
#include <map>
#include <memory>
+#include <optional>
#include <set>
#include <stdint.h>
#include <string>
+#include <thread>
#include <utility>
#include <vector>
class CChainState;
-class BlockValidationState;
-class CBlockIndex;
class CBlockTreeDB;
-class CBlockUndo;
class CChainParams;
-struct CCheckpointData;
-class CInv;
-class CConnman;
-class CScriptCheck;
class CTxMemPool;
class ChainstateManager;
struct ChainTxData;
-
struct DisconnectedBlockTransactions;
struct PrecomputedTransactionData;
struct LockPoints;
struct AssumeutxoData;
+namespace node {
+class SnapshotMetadata;
+} // namespace node
/** Default for -minrelaytxfee, minimum relay fee for transactions */
static const unsigned int DEFAULT_MIN_RELAY_TX_FEE = 1000;
@@ -67,10 +62,18 @@ static const unsigned int DEFAULT_ANCESTOR_SIZE_LIMIT = 101;
static const unsigned int DEFAULT_DESCENDANT_LIMIT = 25;
/** Default for -limitdescendantsize, maximum kilobytes of in-mempool descendants */
static const unsigned int DEFAULT_DESCENDANT_SIZE_LIMIT = 101;
+
+// If a package is submitted, it must be within the mempool's ancestor/descendant limits. Since a
+// submitted package must be child-with-unconfirmed-parents (all of the transactions are an ancestor
+// of the child), package limits are ultimately bounded by mempool package limits. Ensure that the
+// defaults reflect this constraint.
+static_assert(DEFAULT_DESCENDANT_LIMIT >= MAX_PACKAGE_COUNT);
+static_assert(DEFAULT_ANCESTOR_LIMIT >= MAX_PACKAGE_COUNT);
+static_assert(DEFAULT_ANCESTOR_SIZE_LIMIT >= MAX_PACKAGE_SIZE);
+static_assert(DEFAULT_DESCENDANT_SIZE_LIMIT >= MAX_PACKAGE_SIZE);
+
/** Default for -mempoolexpiry, expiration time for mempool transactions in hours */
static const unsigned int DEFAULT_MEMPOOL_EXPIRY = 336;
-/** The maximum size of a blk?????.dat file (since 0.8) */
-static const unsigned int MAX_BLOCKFILE_SIZE = 0x8000000; // 128 MiB
/** Maximum number of dedicated script-checking threads allowed */
static const int MAX_SCRIPTCHECK_THREADS = 15;
/** -par default (number of script-checking threads, 0 = auto) */
@@ -78,14 +81,13 @@ static const int DEFAULT_SCRIPTCHECK_THREADS = 0;
static const int64_t DEFAULT_MAX_TIP_AGE = 24 * 60 * 60;
static const bool DEFAULT_CHECKPOINTS_ENABLED = true;
static const bool DEFAULT_TXINDEX = false;
+static constexpr bool DEFAULT_COINSTATSINDEX{false};
static const char* const DEFAULT_BLOCKFILTERINDEX = "0";
/** Default for -persistmempool */
static const bool DEFAULT_PERSIST_MEMPOOL = true;
-/** Default for using fee filter */
-static const bool DEFAULT_FEEFILTER = true;
/** Default for -stopatheight */
static const int DEFAULT_STOPATHEIGHT = 0;
-/** Block files containing a block-height within MIN_BLOCKS_TO_KEEP of ::ChainActive().Tip() will not be pruned. */
+/** Block files containing a block-height within MIN_BLOCKS_TO_KEEP of ActiveChain().Tip() will not be pruned. */
static const unsigned int MIN_BLOCKS_TO_KEEP = 288;
static const signed int DEFAULT_CHECKBLOCKS = 6;
static const unsigned int DEFAULT_CHECKLEVEL = 3;
@@ -107,12 +109,10 @@ enum class SynchronizationState {
};
extern RecursiveMutex cs_main;
-typedef std::unordered_map<uint256, CBlockIndex*, BlockHasher> BlockMap;
extern Mutex g_best_block_mutex;
extern std::condition_variable g_best_block_cv;
+/** Used to notify getblocktemplate RPC of new tips. */
extern uint256 g_best_block;
-extern std::atomic_bool fImporting;
-extern std::atomic_bool fReindex;
/** Whether there are dedicated script-checking threads running.
* False indicates all script checking is done on the main threadMessageHandler thread.
*/
@@ -134,54 +134,23 @@ extern arith_uint256 nMinimumChainWork;
/** Best header we've seen so far (used for getheaders queries' starting points). */
extern CBlockIndex *pindexBestHeader;
-/** Pruning-related variables and constants */
-/** True if any block files have ever been pruned. */
-extern bool fHavePruned;
-/** True if we're running in -prune mode. */
-extern bool fPruneMode;
-/** Number of MiB of block files that we're trying to stay below. */
-extern uint64_t nPruneTarget;
/** Documentation for argument 'checklevel'. */
extern const std::vector<std::string> CHECKLEVEL_DOC;
-/** Open a block file (blk?????.dat) */
-FILE* OpenBlockFile(const FlatFilePos &pos, bool fReadOnly = false);
-/** Translation to a filesystem path */
-fs::path GetBlockPosFilename(const FlatFilePos &pos);
-/** Ensures we have a genesis block in the block tree, possibly writing one to disk. */
-bool LoadGenesisBlock(const CChainParams& chainparams);
/** Unload database information */
void UnloadBlockIndex(CTxMemPool* mempool, ChainstateManager& chainman);
/** Run instances of script checking worker threads */
void StartScriptCheckWorkerThreads(int threads_num);
/** Stop all of the script checking worker threads */
void StopScriptCheckWorkerThreads();
-/**
- * Return transaction from the block at block_index.
- * If block_index is not provided, fall back to mempool.
- * If mempool is not provided or the tx couldn't be found in mempool, fall back to g_txindex.
- *
- * @param[in] block_index The block to read from disk, or nullptr
- * @param[in] mempool If block_index is not provided, look in the mempool, if provided
- * @param[in] hash The txid
- * @param[in] consensusParams The params
- * @param[out] hashBlock The hash of block_index, if the tx was found via block_index
- * @returns The tx if found, otherwise nullptr
- */
-CTransactionRef GetTransaction(const CBlockIndex* const block_index, const CTxMemPool* const mempool, const uint256& hash, const Consensus::Params& consensusParams, uint256& hashBlock);
+
CAmount GetBlockSubsidy(int nHeight, const Consensus::Params& consensusParams);
+bool AbortNode(BlockValidationState& state, const std::string& strMessage, const bilingual_str& userMessage = bilingual_str{});
+
/** Guess verification progress (as a fraction between 0.0=genesis and 1.0=current tip). */
double GuessVerificationProgress(const ChainTxData& data, const CBlockIndex* pindex);
-/** Calculate the amount of disk space the block & undo files currently use */
-uint64_t CalculateCurrentUsage();
-
-/**
- * Actually unlink the specified files
- */
-void UnlinkPrunedFiles(const std::set<int>& setFilesToPrune);
-
/** Prune block files up to a given height */
void PruneBlockFilesManual(CChainState& active_chainstate, int nManualPruneHeight);
@@ -189,46 +158,120 @@ void PruneBlockFilesManual(CChainState& active_chainstate, int nManualPruneHeigh
* Validation result for a single transaction mempool acceptance.
*/
struct MempoolAcceptResult {
- /** Used to indicate the results of mempool validation,
- * including the possibility of unfinished validation.
- */
+ /** Used to indicate the results of mempool validation. */
enum class ResultType {
VALID, //!> Fully validated, valid.
INVALID, //!> Invalid.
+ MEMPOOL_ENTRY, //!> Valid, transaction was already in the mempool.
+ DIFFERENT_WITNESS, //!> Not validated. A same-txid-different-witness tx (see m_other_wtxid) already exists in the mempool and was not replaced.
};
- ResultType m_result_type;
- TxValidationState m_state;
+ /** Result type. Present in all MempoolAcceptResults. */
+ const ResultType m_result_type;
+
+ /** Contains information about why the transaction failed. */
+ const TxValidationState m_state;
- // The following fields are only present when m_result_type = ResultType::VALID
+ // The following fields are only present when m_result_type = ResultType::VALID or MEMPOOL_ENTRY
/** Mempool transactions replaced by the tx per BIP 125 rules. */
- std::optional<std::list<CTransactionRef>> m_replaced_transactions;
- /** Raw base fees. */
- std::optional<CAmount> m_base_fees;
+ const std::optional<std::list<CTransactionRef>> m_replaced_transactions;
+ /** Virtual size as used by the mempool, calculated using serialized size and sigops. */
+ const std::optional<int64_t> m_vsize;
+ /** Raw base fees in satoshis. */
+ const std::optional<CAmount> m_base_fees;
+
+ // The following field is only present when m_result_type = ResultType::DIFFERENT_WITNESS
+ /** The wtxid of the transaction in the mempool which has the same txid but different witness. */
+ const std::optional<uint256> m_other_wtxid;
+
+ static MempoolAcceptResult Failure(TxValidationState state) {
+ return MempoolAcceptResult(state);
+ }
+
+ static MempoolAcceptResult Success(std::list<CTransactionRef>&& replaced_txns, int64_t vsize, CAmount fees) {
+ return MempoolAcceptResult(std::move(replaced_txns), vsize, fees);
+ }
+
+ static MempoolAcceptResult MempoolTx(int64_t vsize, CAmount fees) {
+ return MempoolAcceptResult(vsize, fees);
+ }
+ static MempoolAcceptResult MempoolTxDifferentWitness(const uint256& other_wtxid) {
+ return MempoolAcceptResult(other_wtxid);
+ }
+
+// Private constructors. Use static methods MempoolAcceptResult::Success, etc. to construct.
+private:
/** Constructor for failure case */
explicit MempoolAcceptResult(TxValidationState state)
- : m_result_type(ResultType::INVALID),
- m_state(state), m_replaced_transactions(nullopt), m_base_fees(nullopt) {
+ : m_result_type(ResultType::INVALID), m_state(state) {
Assume(!state.IsValid()); // Can be invalid or error
}
/** Constructor for success case */
- explicit MempoolAcceptResult(std::list<CTransactionRef>&& replaced_txns, CAmount fees)
- : m_result_type(ResultType::VALID), m_state(TxValidationState{}),
- m_replaced_transactions(std::move(replaced_txns)), m_base_fees(fees) {}
+ explicit MempoolAcceptResult(std::list<CTransactionRef>&& replaced_txns, int64_t vsize, CAmount fees)
+ : m_result_type(ResultType::VALID),
+ m_replaced_transactions(std::move(replaced_txns)), m_vsize{vsize}, m_base_fees(fees) {}
+
+ /** Constructor for already-in-mempool case. It wouldn't replace any transactions. */
+ explicit MempoolAcceptResult(int64_t vsize, CAmount fees)
+ : m_result_type(ResultType::MEMPOOL_ENTRY), m_vsize{vsize}, m_base_fees(fees) {}
+
+ /** Constructor for witness-swapped case. */
+ explicit MempoolAcceptResult(const uint256& other_wtxid)
+ : m_result_type(ResultType::DIFFERENT_WITNESS), m_other_wtxid(other_wtxid) {}
};
/**
- * (Try to) add a transaction to the memory pool.
- * @param[in] bypass_limits When true, don't enforce mempool fee limits.
- * @param[in] test_accept When true, run validation checks but don't submit to mempool.
- */
-MempoolAcceptResult AcceptToMemoryPool(CChainState& active_chainstate, CTxMemPool& pool, const CTransactionRef& tx,
- bool bypass_limits, bool test_accept=false) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+* Validation result for package mempool acceptance.
+*/
+struct PackageMempoolAcceptResult
+{
+ const PackageValidationState m_state;
+ /**
+ * Map from wtxid to finished MempoolAcceptResults. The client is responsible
+ * for keeping track of the transaction objects themselves. If a result is not
+ * present, it means validation was unfinished for that transaction. If there
+ * was a package-wide error (see result in m_state), m_tx_results will be empty.
+ */
+ std::map<const uint256, const MempoolAcceptResult> m_tx_results;
+ explicit PackageMempoolAcceptResult(PackageValidationState state,
+ std::map<const uint256, const MempoolAcceptResult>&& results)
+ : m_state{state}, m_tx_results(std::move(results)) {}
-/** Apply the effects of this transaction on the UTXO set represented by view */
-void UpdateCoins(const CTransaction& tx, CCoinsViewCache& inputs, int nHeight);
+ /** Constructor to create a PackageMempoolAcceptResult from a single MempoolAcceptResult */
+ explicit PackageMempoolAcceptResult(const uint256& wtxid, const MempoolAcceptResult& result)
+ : m_tx_results{ {wtxid, result} } {}
+};
+
+/**
+ * Try to add a transaction to the mempool. This is an internal function and is exposed only for testing.
+ * Client code should use ChainstateManager::ProcessTransaction()
+ *
+ * @param[in] active_chainstate Reference to the active chainstate.
+ * @param[in] tx The transaction to submit for mempool acceptance.
+ * @param[in] accept_time The timestamp for adding the transaction to the mempool.
+ * It is also used to determine when the entry expires.
+ * @param[in] bypass_limits When true, don't enforce mempool fee and capacity limits.
+ * @param[in] test_accept When true, run validation checks but don't submit to mempool.
+ *
+ * @returns a MempoolAcceptResult indicating whether the transaction was accepted/rejected with reason.
+ */
+MempoolAcceptResult AcceptToMemoryPool(CChainState& active_chainstate, const CTransactionRef& tx,
+ int64_t accept_time, bool bypass_limits, bool test_accept)
+ EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
+/**
+* Validate (and maybe submit) a package to the mempool. See doc/policy/packages.md for full details
+* on package validation rules.
+* @param[in] test_accept When true, run validation checks but don't submit to mempool.
+* @returns a PackageMempoolAcceptResult which includes a MempoolAcceptResult for each transaction.
+* If a transaction fails, validation will exit early and some results may be missing. It is also
+* possible for the package to be partially submitted.
+*/
+PackageMempoolAcceptResult ProcessNewPackage(CChainState& active_chainstate, CTxMemPool& pool,
+ const Package& txns, bool test_accept)
+ EXCLUSIVE_LOCKS_REQUIRED(cs_main);
/** Transaction validation functions */
@@ -242,14 +285,17 @@ void UpdateCoins(const CTransaction& tx, CCoinsViewCache& inputs, int nHeight);
bool CheckFinalTx(const CBlockIndex* active_chain_tip, const CTransaction &tx, int flags = -1) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
/**
- * Test whether the LockPoints height and time are still valid on the current chain
- */
-bool TestLockPointValidity(CChain& active_chain, const LockPoints* lp) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
-/**
- * Check if transaction will be BIP 68 final in the next block to be created.
- *
- * Simulates calling SequenceLocks() with data from the tip of the current active chain.
+ * Check if transaction will be BIP68 final in the next block to be created on top of tip.
+ * @param[in] tip Chain tip to check tx sequence locks against. For example,
+ * the tip of the current active chain.
+ * @param[in] coins_view Any CCoinsView that provides access to the relevant coins for
+ * checking sequence locks. For example, it can be a CCoinsViewCache
+ * that isn't connected to anything but contains all the relevant
+ * coins, or a CCoinsViewMemPool that is connected to the
+ * mempool and chainstate UTXO set. In the latter case, the caller is
+ * responsible for holding the appropriate locks to ensure that
+ * calls to GetCoin() return correct coins.
+ * Simulates calling SequenceLocks() with data from the tip passed in.
* Optionally stores in LockPoints the resulting height and time calculated and the hash
* of the block needed for calculation or skips the calculation and uses the LockPoints
* passed in for evaluation.
@@ -257,12 +303,12 @@ bool TestLockPointValidity(CChain& active_chain, const LockPoints* lp) EXCLUSIVE
*
* See consensus/consensus.h for flag definitions.
*/
-bool CheckSequenceLocks(CChainState& active_chainstate,
- const CTxMemPool& pool,
+bool CheckSequenceLocks(CBlockIndex* tip,
+ const CCoinsView& coins_view,
const CTransaction& tx,
int flags,
LockPoints* lp = nullptr,
- bool useExistingLockPoints = false) EXCLUSIVE_LOCKS_REQUIRED(::cs_main, pool.cs);
+ bool useExistingLockPoints = false);
/**
* Closure representing one script verification
@@ -302,15 +348,6 @@ public:
/** Initializes the script-execution cache */
void InitScriptExecutionCache();
-
-/** Functions for disk access for blocks */
-bool ReadBlockFromDisk(CBlock& block, const FlatFilePos& pos, const Consensus::Params& consensusParams);
-bool ReadBlockFromDisk(CBlock& block, const CBlockIndex* pindex, const Consensus::Params& consensusParams);
-bool ReadRawBlockFromDisk(std::vector<uint8_t>& block, const FlatFilePos& pos, const CMessageHeader::MessageStartChars& message_start);
-bool ReadRawBlockFromDisk(std::vector<uint8_t>& block, const CBlockIndex* pindex, const CMessageHeader::MessageStartChars& message_start);
-
-bool UndoReadFromDisk(CBlockUndo& blockundo, const CBlockIndex* pindex);
-
/** Functions for validating blocks and updating the block tree */
/** Context-independent validity checks */
@@ -325,10 +362,6 @@ bool TestBlockValidity(BlockValidationState& state,
bool fCheckPOW = true,
bool fCheckMerkleRoot = true) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-/** Check whether witness commitments are required for a block, and whether to enforce NULLDUMMY (BIP 147) rules.
- * Note that transaction witness validation rules are always enforced when P2SH is enforced. */
-bool IsWitnessEnabled(const CBlockIndex* pindexPrev, const Consensus::Params& params);
-
/** Update uncommitted block structures (currently: only the witness reserved value). This is safe for submitted blocks. */
void UpdateUncommittedBlockStructures(CBlock& block, const CBlockIndex* pindexPrev, const Consensus::Params& consensusParams);
@@ -340,7 +373,12 @@ class CVerifyDB {
public:
CVerifyDB();
~CVerifyDB();
- bool VerifyDB(const CChainParams& chainparams, CChainState& active_chainstate, CCoinsView *coinsview, int nCheckLevel, int nCheckDepth) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool VerifyDB(
+ CChainState& chainstate,
+ const Consensus::Params& consensus_params,
+ CCoinsView& coinsview,
+ int nCheckLevel,
+ int nCheckDepth) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
};
enum DisconnectResult
@@ -360,126 +398,6 @@ enum class FlushStateMode {
ALWAYS
};
-struct CBlockIndexWorkComparator
-{
- bool operator()(const CBlockIndex *pa, const CBlockIndex *pb) const;
-};
-
-/**
- * Maintains a tree of blocks (stored in `m_block_index`) which is consulted
- * to determine where the most-work tip is.
- *
- * This data is used mostly in `CChainState` - information about, e.g.,
- * candidate tips is not maintained here.
- */
-class BlockManager
-{
- friend CChainState;
-
-private:
- /* Calculate the block/rev files to delete based on height specified by user with RPC command pruneblockchain */
- void FindFilesToPruneManual(std::set<int>& setFilesToPrune, int nManualPruneHeight, int chain_tip_height);
-
- /**
- * Prune block and undo files (blk???.dat and undo???.dat) so that the disk space used is less than a user-defined target.
- * The user sets the target (in MB) on the command line or in config file. This will be run on startup and whenever new
- * space is allocated in a block or undo file, staying below the target. Changing back to unpruned requires a reindex
- * (which in this case means the blockchain must be re-downloaded.)
- *
- * Pruning functions are called from FlushStateToDisk when the global fCheckForPruning flag has been set.
- * Block and undo files are deleted in lock-step (when blk00003.dat is deleted, so is rev00003.dat.)
- * Pruning cannot take place until the longest chain is at least a certain length (100000 on mainnet, 1000 on testnet, 1000 on regtest).
- * Pruning will never delete a block within a defined distance (currently 288) from the active chain's tip.
- * The block index is updated by unsetting HAVE_DATA and HAVE_UNDO for any blocks that were stored in the deleted files.
- * A db flag records the fact that at least some block files have been pruned.
- *
- * @param[out] setFilesToPrune The set of file indices that can be unlinked will be returned
- */
- void FindFilesToPrune(std::set<int>& setFilesToPrune, uint64_t nPruneAfterHeight, int chain_tip_height, int prune_height, bool is_ibd);
-
-public:
- BlockMap m_block_index GUARDED_BY(cs_main);
-
- /** In order to efficiently track invalidity of headers, we keep the set of
- * blocks which we tried to connect and found to be invalid here (ie which
- * were set to BLOCK_FAILED_VALID since the last restart). We can then
- * walk this set and check if a new header is a descendant of something in
- * this set, preventing us from having to walk m_block_index when we try
- * to connect a bad block and fail.
- *
- * While this is more complicated than marking everything which descends
- * from an invalid block as invalid at the time we discover it to be
- * invalid, doing so would require walking all of m_block_index to find all
- * descendants. Since this case should be very rare, keeping track of all
- * BLOCK_FAILED_VALID blocks in a set should be just fine and work just as
- * well.
- *
- * Because we already walk m_block_index in height-order at startup, we go
- * ahead and mark descendants of invalid blocks as FAILED_CHILD at that time,
- * instead of putting things in this set.
- */
- std::set<CBlockIndex*> m_failed_blocks;
-
- /**
- * All pairs A->B, where A (or one of its ancestors) misses transactions, but B has transactions.
- * Pruned nodes may have entries where B is missing data.
- */
- std::multimap<CBlockIndex*, CBlockIndex*> m_blocks_unlinked;
-
- /**
- * Load the blocktree off disk and into memory. Populate certain metadata
- * per index entry (nStatus, nChainWork, nTimeMax, etc.) as well as peripheral
- * collections like setDirtyBlockIndex.
- *
- * @param[out] block_index_candidates Fill this set with any valid blocks for
- * which we've downloaded all transactions.
- */
- bool LoadBlockIndex(
- const Consensus::Params& consensus_params,
- CBlockTreeDB& blocktree,
- std::set<CBlockIndex*, CBlockIndexWorkComparator>& block_index_candidates)
- EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- /** Clear all data members. */
- void Unload() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- CBlockIndex* AddToBlockIndex(const CBlockHeader& block) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
- /** Create a new block index entry for a given block hash */
- CBlockIndex* InsertBlockIndex(const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- //! Mark one block file as pruned (modify associated database entries)
- void PruneOneBlockFile(const int fileNumber) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- /**
- * If a block header hasn't already been seen, call CheckBlockHeader on it, ensure
- * that it doesn't descend from an invalid block, and then add it to m_block_index.
- */
- bool AcceptBlockHeader(
- const CBlockHeader& block,
- BlockValidationState& state,
- const CChainParams& chainparams,
- CBlockIndex** ppindex) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- CBlockIndex* LookupBlockIndex(const uint256& hash) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- /** Find the last common block between the parameter chain and a locator. */
- CBlockIndex* FindForkInGlobalIndex(const CChain& chain, const CBlockLocator& locator) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- //! Returns last CBlockIndex* that is a checkpoint
- CBlockIndex* GetLastCheckpoint(const CCheckpointData& data) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- /**
- * Return the spend height, which is one more than the inputs.GetBestBlock().
- * While checking, GetBestBlock() refers to the parent block. (protected by cs_main)
- * This is also true for mempool checks.
- */
- int GetSpendHeight(const CCoinsViewCache& inputs) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- ~BlockManager() {
- Unload();
- }
-};
-
/**
* A convenience class for constructing the CCoinsView* hierarchy used
* to facilitate access to the UTXO set.
@@ -536,7 +454,7 @@ enum class CoinsCacheSizeState
*
* Anything that is contingent on the current tip of the chain is stored here,
* whereas block information and metadata independent of the current tip is
- * kept in `BlockMetadataManager`.
+ * kept in `BlockManager`.
*/
class CChainState
{
@@ -545,19 +463,19 @@ protected:
* Every received block is assigned a unique and increasing identifier, so we
* know which one to give priority in case of a fork.
*/
- RecursiveMutex cs_nBlockSequenceId;
/** Blocks loaded from disk are assigned id 0, so start the counter at 1. */
- int32_t nBlockSequenceId = 1;
+ int32_t nBlockSequenceId GUARDED_BY(::cs_main) = 1;
/** Decreasing counter (used by subsequent preciousblock calls). */
int32_t nBlockReverseSequenceId = -1;
/** chainwork for the last block that preciousblock has been applied to. */
arith_uint256 nLastPreciousChainwork = 0;
/**
- * the ChainState CriticalSection
- * A lock that must be held when modifying this ChainState - held in ActivateBestChain()
+ * The ChainState Mutex
+ * A lock that must be held when modifying this ChainState - held in ActivateBestChain() and
+ * InvalidateBlock()
*/
- RecursiveMutex m_cs_chainstate;
+ Mutex m_chainstate_mutex;
/**
* Whether this chainstate is undergoing initial block download.
@@ -567,8 +485,9 @@ protected:
*/
mutable std::atomic<bool> m_cached_finished_ibd{false};
- //! mempool that is kept in sync with the chain
- CTxMemPool& m_mempool;
+ //! Optional mempool that is kept in sync with the chain.
+ //! Only the active chainstate has a mempool.
+ CTxMemPool* m_mempool;
//! Manages the UTXO set, which is a reflection of the contents of `m_chain`.
std::unique_ptr<CoinsViews> m_coins_views;
@@ -576,9 +495,21 @@ protected:
public:
//! Reference to a BlockManager instance which itself is shared across all
//! CChainState instances.
- BlockManager& m_blockman;
+ node::BlockManager& m_blockman;
+
+ /** Chain parameters for this chainstate */
+ const CChainParams& m_params;
- explicit CChainState(CTxMemPool& mempool, BlockManager& blockman, uint256 from_snapshot_blockhash = uint256());
+ //! The chainstate manager that owns this chainstate. The reference is
+ //! necessary so that this instance can check whether it is the active
+ //! chainstate within deeply nested method calls.
+ ChainstateManager& m_chainman;
+
+ explicit CChainState(
+ CTxMemPool* mempool,
+ node::BlockManager& blockman,
+ ChainstateManager& chainman,
+ std::optional<uint256> from_snapshot_blockhash = std::nullopt);
/**
* Initialize the CoinsViews UTXO set database management data structures. The in-memory
@@ -598,7 +529,9 @@ public:
//! @returns whether or not the CoinsViews object has been fully initialized and we can
//! safely flush this object to disk.
- bool CanFlushToDisk() const EXCLUSIVE_LOCKS_REQUIRED(cs_main) {
+ bool CanFlushToDisk() const EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
+ {
+ AssertLockHeld(::cs_main);
return m_coins_views && m_coins_views->m_cacheview;
}
@@ -609,34 +542,48 @@ public:
/**
* The blockhash which is the base of the snapshot this chainstate was created from.
*
- * IsNull() if this chainstate was not created from a snapshot.
+ * std::nullopt if this chainstate was not created from a snapshot.
*/
- const uint256 m_from_snapshot_blockhash{};
+ const std::optional<uint256> m_from_snapshot_blockhash;
+
+ //! Return true if this chainstate relies on blocks that are assumed-valid. In
+ //! practice this means it was created based on a UTXO snapshot.
+ bool reliesOnAssumedValid() { return m_from_snapshot_blockhash.has_value(); }
/**
- * The set of all CBlockIndex entries with BLOCK_VALID_TRANSACTIONS (for itself and all ancestors) and
- * as good as our current tip or better. Entries may be failed, though, and pruning nodes may be
- * missing the data for the block.
+ * The set of all CBlockIndex entries with either BLOCK_VALID_TRANSACTIONS (for
+ * itself and all ancestors) *or* BLOCK_ASSUMED_VALID (if using background
+ * chainstates) and as good as our current tip or better. Entries may be failed,
+ * though, and pruning nodes may be missing the data for the block.
*/
- std::set<CBlockIndex*, CBlockIndexWorkComparator> setBlockIndexCandidates;
+ std::set<CBlockIndex*, node::CBlockIndexWorkComparator> setBlockIndexCandidates;
//! @returns A reference to the in-memory cache of the UTXO set.
- CCoinsViewCache& CoinsTip() EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+ CCoinsViewCache& CoinsTip() EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
assert(m_coins_views->m_cacheview);
return *m_coins_views->m_cacheview.get();
}
//! @returns A reference to the on-disk UTXO set database.
- CCoinsViewDB& CoinsDB() EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+ CCoinsViewDB& CoinsDB() EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
return m_coins_views->m_dbview;
}
+ //! @returns A pointer to the mempool.
+ CTxMemPool* GetMempool()
+ {
+ return m_mempool;
+ }
+
//! @returns A reference to a wrapped view of the in-memory UTXO set that
//! handles disk read errors gracefully.
- CCoinsViewErrorCatcher& CoinsErrorCatcher() EXCLUSIVE_LOCKS_REQUIRED(cs_main)
+ CCoinsViewErrorCatcher& CoinsErrorCatcher() EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
return m_coins_views->m_catcherview;
}
@@ -655,7 +602,8 @@ public:
EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
/** Import blocks from an external file */
- void LoadExternalBlockFile(const CChainParams& chainparams, FILE* fileIn, FlatFilePos* dbp = nullptr);
+ void LoadExternalBlockFile(FILE* fileIn, FlatFilePos* dbp = nullptr)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_chainstate_mutex);
/**
* Update the on-disk chain state.
@@ -669,8 +617,7 @@ public:
* @returns true unless a system error occurred
*/
bool FlushStateToDisk(
- const CChainParams& chainparams,
- BlockValidationState &state,
+ BlockValidationState& state,
FlushStateMode mode,
int nManualPruneHeight = 0);
@@ -698,85 +645,119 @@ public:
*/
bool ActivateBestChain(
BlockValidationState& state,
- const CChainParams& chainparams,
- std::shared_ptr<const CBlock> pblock = nullptr) LOCKS_EXCLUDED(cs_main);
+ std::shared_ptr<const CBlock> pblock = nullptr)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_chainstate_mutex)
+ LOCKS_EXCLUDED(::cs_main);
- bool AcceptBlock(const std::shared_ptr<const CBlock>& pblock, BlockValidationState& state, const CChainParams& chainparams, CBlockIndex** ppindex, bool fRequested, const FlatFilePos* dbp, bool* fNewBlock) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool AcceptBlock(const std::shared_ptr<const CBlock>& pblock, BlockValidationState& state, CBlockIndex** ppindex, bool fRequested, const FlatFilePos* dbp, bool* fNewBlock) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
// Block (dis)connection on a given view:
- DisconnectResult DisconnectBlock(const CBlock& block, const CBlockIndex* pindex, CCoinsViewCache& view);
+ DisconnectResult DisconnectBlock(const CBlock& block, const CBlockIndex* pindex, CCoinsViewCache& view)
+ EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
bool ConnectBlock(const CBlock& block, BlockValidationState& state, CBlockIndex* pindex,
- CCoinsViewCache& view, const CChainParams& chainparams, bool fJustCheck = false) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ CCoinsViewCache& view, bool fJustCheck = false) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
// Apply the effects of a block disconnection on the UTXO set.
- bool DisconnectTip(BlockValidationState& state, const CChainParams& chainparams, DisconnectedBlockTransactions* disconnectpool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_mempool.cs);
+ bool DisconnectTip(BlockValidationState& state, DisconnectedBlockTransactions* disconnectpool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_mempool->cs);
// Manual block validity manipulation:
/** Mark a block as precious and reorganize.
*
* May not be called in a validationinterface callback.
*/
- bool PreciousBlock(BlockValidationState& state, const CChainParams& params, CBlockIndex* pindex) LOCKS_EXCLUDED(cs_main);
+ bool PreciousBlock(BlockValidationState& state, CBlockIndex* pindex)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_chainstate_mutex)
+ LOCKS_EXCLUDED(::cs_main);
+
/** Mark a block as invalid. */
- bool InvalidateBlock(BlockValidationState& state, const CChainParams& chainparams, CBlockIndex* pindex) LOCKS_EXCLUDED(cs_main);
+ bool InvalidateBlock(BlockValidationState& state, CBlockIndex* pindex)
+ EXCLUSIVE_LOCKS_REQUIRED(!m_chainstate_mutex)
+ LOCKS_EXCLUDED(::cs_main);
+
/** Remove invalidity status from a block and its descendants. */
void ResetBlockFailureFlags(CBlockIndex* pindex) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
/** Replay blocks that aren't fully applied to the database. */
- bool ReplayBlocks(const CChainParams& params);
- bool RewindBlockIndex(const CChainParams& params) LOCKS_EXCLUDED(cs_main);
- bool LoadGenesisBlock(const CChainParams& chainparams);
+ bool ReplayBlocks();
+
+ /** Whether the chain state needs to be redownloaded due to lack of witness data */
+ [[nodiscard]] bool NeedsRedownload() const EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ /** Ensures we have a genesis block in the block tree, possibly writing one to disk. */
+ bool LoadGenesisBlock();
void PruneBlockIndexCandidates();
- void UnloadBlockIndex();
+ void UnloadBlockIndex() EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
/** Check whether we are doing an initial block download (synchronizing from disk or network) */
bool IsInitialBlockDownload() const;
+ /** Find the last common block of this chain and a locator. */
+ CBlockIndex* FindForkInGlobalIndex(const CBlockLocator& locator) const EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
/**
* Make various assertions about the state of the block index.
*
* By default this only executes fully when using the Regtest chain; see: fCheckBlockIndex.
*/
- void CheckBlockIndex(const Consensus::Params& consensusParams);
+ void CheckBlockIndex();
/** Load the persisted mempool from disk */
void LoadMempool(const ArgsManager& args);
/** Update the chain tip based on database information, i.e. CoinsTip()'s best block. */
- bool LoadChainTip(const CChainParams& chainparams) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool LoadChainTip() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
//! Dictates whether we need to flush the cache to disk or not.
//!
//! @return the state of the size of the coins cache.
- CoinsCacheSizeState GetCoinsCacheSizeState(const CTxMemPool* tx_pool)
- EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
+ CoinsCacheSizeState GetCoinsCacheSizeState() EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
CoinsCacheSizeState GetCoinsCacheSizeState(
- const CTxMemPool* tx_pool,
size_t max_coins_cache_size_bytes,
size_t max_mempool_size_bytes) EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
std::string ToString() EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
private:
- bool ActivateBestChainStep(BlockValidationState& state, const CChainParams& chainparams, CBlockIndex* pindexMostWork, const std::shared_ptr<const CBlock>& pblock, bool& fInvalidFound, ConnectTrace& connectTrace) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_mempool.cs);
- bool ConnectTip(BlockValidationState& state, const CChainParams& chainparams, CBlockIndex* pindexNew, const std::shared_ptr<const CBlock>& pblock, ConnectTrace& connectTrace, DisconnectedBlockTransactions& disconnectpool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_mempool.cs);
+ bool ActivateBestChainStep(BlockValidationState& state, CBlockIndex* pindexMostWork, const std::shared_ptr<const CBlock>& pblock, bool& fInvalidFound, ConnectTrace& connectTrace) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_mempool->cs);
+ bool ConnectTip(BlockValidationState& state, CBlockIndex* pindexNew, const std::shared_ptr<const CBlock>& pblock, ConnectTrace& connectTrace, DisconnectedBlockTransactions& disconnectpool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_mempool->cs);
- void InvalidBlockFound(CBlockIndex *pindex, const BlockValidationState &state) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ void InvalidBlockFound(CBlockIndex* pindex, const BlockValidationState& state) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
CBlockIndex* FindMostWorkChain() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
- void ReceivedBlockTransactions(const CBlock& block, CBlockIndex* pindexNew, const FlatFilePos& pos, const Consensus::Params& consensusParams) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
-
- bool RollforwardBlock(const CBlockIndex* pindex, CCoinsViewCache& inputs, const CChainParams& params) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ void ReceivedBlockTransactions(const CBlock& block, CBlockIndex* pindexNew, const FlatFilePos& pos) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
- //! Mark a block as not having block data
- void EraseBlockData(CBlockIndex* index) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool RollforwardBlock(const CBlockIndex* pindex, CCoinsViewCache& inputs) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
void CheckForkWarningConditions() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
void InvalidChainFound(CBlockIndex* pindexNew) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
- bool LoadBlockIndexDB(const CChainParams& chainparams) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ //! Indirection necessary to make lock annotations work with an optional mempool.
+ RecursiveMutex* MempoolMutex() const LOCK_RETURNED(m_mempool->cs)
+ {
+ return m_mempool ? &m_mempool->cs : nullptr;
+ }
+
+ /**
+ * Make mempool consistent after a reorg, by re-adding or recursively erasing
+ * disconnected block transactions from the mempool, and also removing any
+ * other transactions from the mempool that are no longer valid given the new
+ * tip/height.
+ *
+ * Note: we assume that disconnectpool only contains transactions that are NOT
+ * confirmed in the current chain nor already in the mempool (otherwise,
+ * in-mempool descendants of such transactions would be removed).
+ *
+ * Passing fAddToMempool=false will skip trying to add the transactions back,
+ * and instead just erase from the mempool as needed.
+ */
+ void MaybeUpdateMempoolForReorg(
+ DisconnectedBlockTransactions& disconnectpool,
+ bool fAddToMempool) EXCLUSIVE_LOCKS_REQUIRED(cs_main, m_mempool->cs);
+
+ /** Check warning conditions and do some notifications on new chain tip set. */
+ void UpdateTip(const CBlockIndex* pindexNew)
+ EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
friend ChainstateManager;
};
@@ -807,12 +788,6 @@ private:
* *Background IBD chainstate*: an IBD chainstate for which the
* IBD process is happening in the background while use of the
* active (snapshot) chainstate allows the rest of the system to function.
- *
- * *Validated chainstate*: the most-work chainstate which has been validated
- * locally via initial block download. This will be the snapshot chainstate
- * if a snapshot was loaded and all blocks up to the snapshot starting point
- * have been downloaded and validated (via background validation), otherwise
- * it will be the IBD chainstate.
*/
class ChainstateManager
{
@@ -860,20 +835,52 @@ private:
//! by the background validation chainstate.
bool m_snapshot_validated{false};
+ CBlockIndex* m_best_invalid;
+ friend bool node::BlockManager::LoadBlockIndex(const Consensus::Params&, ChainstateManager&);
+
//! Internal helper for ActivateSnapshot().
[[nodiscard]] bool PopulateAndValidateSnapshot(
CChainState& snapshot_chainstate,
CAutoFile& coins_file,
- const SnapshotMetadata& metadata);
+ const node::SnapshotMetadata& metadata);
- // For access to m_active_chainstate.
- friend CChainState& ChainstateActive();
- friend CChain& ChainActive();
+ /**
+ * If a block header hasn't already been seen, call CheckBlockHeader on it, ensure
+ * that it doesn't descend from an invalid block, and then add it to m_block_index.
+ */
+ bool AcceptBlockHeader(
+ const CBlockHeader& block,
+ BlockValidationState& state,
+ const CChainParams& chainparams,
+ CBlockIndex** ppindex) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ friend CChainState;
public:
+ std::thread m_load_block;
//! A single BlockManager instance is shared across each constructed
//! chainstate to avoid duplicating block metadata.
- BlockManager m_blockman GUARDED_BY(::cs_main);
+ node::BlockManager m_blockman;
+
+ /**
+ * In order to efficiently track invalidity of headers, we keep the set of
+ * blocks which we tried to connect and found to be invalid here (ie which
+ * were set to BLOCK_FAILED_VALID since the last restart). We can then
+ * walk this set and check if a new header is a descendant of something in
+ * this set, preventing us from having to walk m_block_index when we try
+ * to connect a bad block and fail.
+ *
+ * While this is more complicated than marking everything which descends
+ * from an invalid block as invalid at the time we discover it to be
+ * invalid, doing so would require walking all of m_block_index to find all
+ * descendants. Since this case should be very rare, keeping track of all
+ * BLOCK_FAILED_VALID blocks in a set should be just fine and work just as
+ * well.
+ *
+ * Because we already walk m_block_index in height-order at startup, we go
+ * ahead and mark descendants of invalid blocks as FAILED_CHILD at that time,
+ * instead of putting things in this set.
+ */
+ std::set<CBlockIndex*> m_failed_blocks;
//! The total number of bytes available for us to use across all in-memory
//! coins caches. This will be split somehow across chainstates.
@@ -890,8 +897,10 @@ public:
// constructor
//! @param[in] snapshot_blockhash If given, signify that this chainstate
//! is based on a snapshot.
- CChainState& InitializeChainstate(CTxMemPool& mempool, const uint256& snapshot_blockhash = uint256())
- EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
+ CChainState& InitializeChainstate(
+ CTxMemPool* mempool,
+ const std::optional<uint256>& snapshot_blockhash = std::nullopt)
+ LIFETIMEBOUND EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
//! Get all chainstates currently being used.
std::vector<CChainState*> GetAll();
@@ -910,7 +919,7 @@ public:
//! - Move the new chainstate to `m_snapshot_chainstate` and make it our
//! ChainstateActive().
[[nodiscard]] bool ActivateSnapshot(
- CAutoFile& coins_file, const SnapshotMetadata& metadata, bool in_memory);
+ CAutoFile& coins_file, const node::SnapshotMetadata& metadata, bool in_memory);
//! The most-work chain.
CChainState& ActiveChainstate() const;
@@ -918,52 +927,41 @@ public:
int ActiveHeight() const { return ActiveChain().Height(); }
CBlockIndex* ActiveTip() const { return ActiveChain().Tip(); }
- BlockMap& BlockIndex() EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
+ node::BlockMap& BlockIndex() EXCLUSIVE_LOCKS_REQUIRED(::cs_main)
{
+ AssertLockHeld(::cs_main);
return m_blockman.m_block_index;
}
+ //! @returns true if a snapshot-based chainstate is in use. Also implies
+ //! that a background validation chainstate is also in use.
bool IsSnapshotActive() const;
- Optional<uint256> SnapshotBlockhash() const;
+ std::optional<uint256> SnapshotBlockhash() const;
//! Is there a snapshot in use and has it been fully validated?
bool IsSnapshotValidated() const { return m_snapshot_validated; }
- //! @returns true if this chainstate is being used to validate an active
- //! snapshot in the background.
- bool IsBackgroundIBD(CChainState* chainstate) const;
-
- //! Return the most-work chainstate that has been fully validated.
- //!
- //! During background validation of a snapshot, this is the IBD chain. After
- //! background validation has completed, this is the snapshot chain.
- CChainState& ValidatedChainstate() const;
-
- CChain& ValidatedChain() const { return ValidatedChainstate().m_chain; }
- CBlockIndex* ValidatedTip() const { return ValidatedChain().Tip(); }
-
/**
* Process an incoming block. This only returns after the best known valid
* block is made active. Note that it does not, however, guarantee that the
* specific block passed to it has been checked for validity!
*
- * If you want to *possibly* get feedback on whether pblock is valid, you must
+ * If you want to *possibly* get feedback on whether block is valid, you must
* install a CValidationInterface (see validationinterface.h) - this will have
* its BlockChecked method called whenever *any* block completes validation.
*
- * Note that we guarantee that either the proof-of-work is valid on pblock, or
+ * Note that we guarantee that either the proof-of-work is valid on block, or
* (and possibly also) BlockChecked will have been called.
*
- * May not be called in a
- * validationinterface callback.
+ * May not be called in a validationinterface callback.
*
- * @param[in] pblock The block we want to process.
- * @param[in] fForceProcessing Process this block even if unrequested; used for non-network block sources.
- * @param[out] fNewBlock A boolean which is set to indicate if the block was first received via this call
+ * @param[in] block The block we want to process.
+ * @param[in] force_processing Process this block even if unrequested; used for non-network block sources.
+ * @param[out] new_block A boolean which is set to indicate if the block was first received via this call
* @returns If the block was processed, independently of block validity
*/
- bool ProcessNewBlock(const CChainParams& chainparams, const std::shared_ptr<const CBlock> pblock, bool fForceProcessing, bool* fNewBlock) LOCKS_EXCLUDED(cs_main);
+ bool ProcessNewBlock(const CChainParams& chainparams, const std::shared_ptr<const CBlock>& block, bool force_processing, bool* new_block) LOCKS_EXCLUDED(cs_main);
/**
* Process incoming block headers.
@@ -978,8 +976,17 @@ public:
*/
bool ProcessNewBlockHeaders(const std::vector<CBlockHeader>& block, BlockValidationState& state, const CChainParams& chainparams, const CBlockIndex** ppindex = nullptr) LOCKS_EXCLUDED(cs_main);
+ /**
+ * Try to add a transaction to the memory pool.
+ *
+ * @param[in] tx The transaction to submit for mempool acceptance.
+ * @param[in] test_accept When true, run validation checks but don't submit to mempool.
+ */
+ [[nodiscard]] MempoolAcceptResult ProcessTransaction(const CTransactionRef& tx, bool test_accept=false)
+ EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+
//! Load the block tree and coins database from disk, initializing state if we're running with -reindex
- bool LoadBlockIndex(const CChainParams& chainparams) EXCLUSIVE_LOCKS_REQUIRED(cs_main);
+ bool LoadBlockIndex() EXCLUSIVE_LOCKS_REQUIRED(cs_main);
//! Unload block index and chain data before shutdown.
void Unload() EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
@@ -990,46 +997,26 @@ public:
//! Check to see if caches are out of balance and if so, call
//! ResizeCoinsCaches() as needed.
void MaybeRebalanceCaches() EXCLUSIVE_LOCKS_REQUIRED(::cs_main);
-};
-
-/** DEPRECATED! Please use node.chainman instead. May only be used in validation.cpp internally */
-extern ChainstateManager g_chainman GUARDED_BY(::cs_main);
-/** Please prefer the identical ChainstateManager::ActiveChainstate */
-CChainState& ChainstateActive();
-
-/** Please prefer the identical ChainstateManager::ActiveChain */
-CChain& ChainActive();
-
-/** Global variable that points to the active block tree (protected by cs_main) */
-extern std::unique_ptr<CBlockTreeDB> pblocktree;
-
-extern VersionBitsCache versionbitscache;
-
-/**
- * Determine what nVersion a new block should use.
- */
-int32_t ComputeBlockVersion(const CBlockIndex* pindexPrev, const Consensus::Params& params);
+ ~ChainstateManager() {
+ LOCK(::cs_main);
+ UnloadBlockIndex(/* mempool */ nullptr, *this);
+ Reset();
+ }
+};
-/** Get block file info entry for one block file */
-CBlockFileInfo* GetBlockFileInfo(size_t n);
+using FopenFn = std::function<FILE*(const fs::path&, const char*)>;
/** Dump the mempool to disk. */
-bool DumpMempool(const CTxMemPool& pool);
+bool DumpMempool(const CTxMemPool& pool, FopenFn mockable_fopen_function = fsbridge::fopen, bool skip_file_commit = false);
/** Load the mempool from disk. */
-bool LoadMempool(CTxMemPool& pool, CChainState& active_chainstate);
-
-//! Check whether the block associated with this index entry is pruned or not.
-inline bool IsBlockPruned(const CBlockIndex* pblockindex)
-{
- return (fHavePruned && !(pblockindex->nStatus & BLOCK_HAVE_DATA) && pblockindex->nTx > 0);
-}
+bool LoadMempool(CTxMemPool& pool, CChainState& active_chainstate, FopenFn mockable_fopen_function = fsbridge::fopen);
/**
* Return the expected assumeutxo value for a given height, if one exists.
*
- * @param height[in] Get the assumeutxo value for this height.
+ * @param[in] height Get the assumeutxo value for this height.
*
* @returns empty if no assumeutxo configuration exists for the given height.
*/
diff --git a/src/versionbits.cpp b/src/versionbits.cpp
index af07c67ccf..7a297c2bbb 100644
--- a/src/versionbits.cpp
+++ b/src/versionbits.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2019 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,6 +9,7 @@ ThresholdState AbstractThresholdConditionChecker::GetStateFor(const CBlockIndex*
{
int nPeriod = Period(params);
int nThreshold = Threshold(params);
+ int min_activation_height = MinActivationHeight(params);
int64_t nTimeStart = BeginTime(params);
int64_t nTimeTimeout = EndTime(params);
@@ -17,6 +18,11 @@ ThresholdState AbstractThresholdConditionChecker::GetStateFor(const CBlockIndex*
return ThresholdState::ACTIVE;
}
+ // Check if this deployment is never active.
+ if (nTimeStart == Consensus::BIP9Deployment::NEVER_ACTIVE) {
+ return ThresholdState::FAILED;
+ }
+
// A block's state is always the same as that of the first of its period, so it is computed based on a pindexPrev whose height equals a multiple of nPeriod - 1.
if (pindexPrev != nullptr) {
pindexPrev = pindexPrev->GetAncestor(pindexPrev->nHeight - ((pindexPrev->nHeight + 1) % nPeriod));
@@ -51,18 +57,12 @@ ThresholdState AbstractThresholdConditionChecker::GetStateFor(const CBlockIndex*
switch (state) {
case ThresholdState::DEFINED: {
- if (pindexPrev->GetMedianTimePast() >= nTimeTimeout) {
- stateNext = ThresholdState::FAILED;
- } else if (pindexPrev->GetMedianTimePast() >= nTimeStart) {
+ if (pindexPrev->GetMedianTimePast() >= nTimeStart) {
stateNext = ThresholdState::STARTED;
}
break;
}
case ThresholdState::STARTED: {
- if (pindexPrev->GetMedianTimePast() >= nTimeTimeout) {
- stateNext = ThresholdState::FAILED;
- break;
- }
// We need to count
const CBlockIndex* pindexCount = pindexPrev;
int count = 0;
@@ -74,12 +74,16 @@ ThresholdState AbstractThresholdConditionChecker::GetStateFor(const CBlockIndex*
}
if (count >= nThreshold) {
stateNext = ThresholdState::LOCKED_IN;
+ } else if (pindexPrev->GetMedianTimePast() >= nTimeTimeout) {
+ stateNext = ThresholdState::FAILED;
}
break;
}
case ThresholdState::LOCKED_IN: {
- // Always progresses into ACTIVE.
- stateNext = ThresholdState::ACTIVE;
+ // Progresses into ACTIVE provided activation height will have been reached.
+ if (pindexPrev->nHeight + 1 >= min_activation_height) {
+ stateNext = ThresholdState::ACTIVE;
+ }
break;
}
case ThresholdState::FAILED:
@@ -94,29 +98,38 @@ ThresholdState AbstractThresholdConditionChecker::GetStateFor(const CBlockIndex*
return state;
}
-BIP9Stats AbstractThresholdConditionChecker::GetStateStatisticsFor(const CBlockIndex* pindex, const Consensus::Params& params) const
+BIP9Stats AbstractThresholdConditionChecker::GetStateStatisticsFor(const CBlockIndex* pindex, const Consensus::Params& params, std::vector<bool>* signalling_blocks) const
{
BIP9Stats stats = {};
stats.period = Period(params);
stats.threshold = Threshold(params);
- if (pindex == nullptr)
- return stats;
+ if (pindex == nullptr) return stats;
- // Find beginning of period
- const CBlockIndex* pindexEndOfPrevPeriod = pindex->GetAncestor(pindex->nHeight - ((pindex->nHeight + 1) % stats.period));
- stats.elapsed = pindex->nHeight - pindexEndOfPrevPeriod->nHeight;
+ // Find how many blocks are in the current period
+ int blocks_in_period = 1 + (pindex->nHeight % stats.period);
+
+ // Reset signalling_blocks
+ if (signalling_blocks) {
+ signalling_blocks->assign(blocks_in_period, false);
+ }
// Count from current block to beginning of period
+ int elapsed = 0;
int count = 0;
const CBlockIndex* currentIndex = pindex;
- while (pindexEndOfPrevPeriod->nHeight != currentIndex->nHeight){
- if (Condition(currentIndex, params))
- count++;
+ do {
+ ++elapsed;
+ --blocks_in_period;
+ if (Condition(currentIndex, params)) {
+ ++count;
+ if (signalling_blocks) signalling_blocks->at(blocks_in_period) = true;
+ }
currentIndex = currentIndex->pprev;
- }
+ } while(blocks_in_period > 0);
+ stats.elapsed = elapsed;
stats.count = count;
stats.possible = (stats.period - stats.threshold ) >= (stats.elapsed - count);
@@ -126,7 +139,7 @@ BIP9Stats AbstractThresholdConditionChecker::GetStateStatisticsFor(const CBlockI
int AbstractThresholdConditionChecker::GetStateSinceHeightFor(const CBlockIndex* pindexPrev, const Consensus::Params& params, ThresholdConditionCache& cache) const
{
int64_t start_time = BeginTime(params);
- if (start_time == Consensus::BIP9Deployment::ALWAYS_ACTIVE) {
+ if (start_time == Consensus::BIP9Deployment::ALWAYS_ACTIVE || start_time == Consensus::BIP9Deployment::NEVER_ACTIVE) {
return 0;
}
@@ -170,6 +183,7 @@ private:
protected:
int64_t BeginTime(const Consensus::Params& params) const override { return params.vDeployments[id].nStartTime; }
int64_t EndTime(const Consensus::Params& params) const override { return params.vDeployments[id].nTimeout; }
+ int MinActivationHeight(const Consensus::Params& params) const override { return params.vDeployments[id].min_activation_height; }
int Period(const Consensus::Params& params) const override { return params.nMinerConfirmationWindow; }
int Threshold(const Consensus::Params& params) const override { return params.nRuleChangeActivationThreshold; }
@@ -185,29 +199,48 @@ public:
} // namespace
-ThresholdState VersionBitsState(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos, VersionBitsCache& cache)
+ThresholdState VersionBitsCache::State(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos)
{
- return VersionBitsConditionChecker(pos).GetStateFor(pindexPrev, params, cache.caches[pos]);
+ LOCK(m_mutex);
+ return VersionBitsConditionChecker(pos).GetStateFor(pindexPrev, params, m_caches[pos]);
}
-BIP9Stats VersionBitsStatistics(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos)
+BIP9Stats VersionBitsCache::Statistics(const CBlockIndex* pindex, const Consensus::Params& params, Consensus::DeploymentPos pos, std::vector<bool>* signalling_blocks)
{
- return VersionBitsConditionChecker(pos).GetStateStatisticsFor(pindexPrev, params);
+ return VersionBitsConditionChecker(pos).GetStateStatisticsFor(pindex, params, signalling_blocks);
}
-int VersionBitsStateSinceHeight(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos, VersionBitsCache& cache)
+int VersionBitsCache::StateSinceHeight(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos)
{
- return VersionBitsConditionChecker(pos).GetStateSinceHeightFor(pindexPrev, params, cache.caches[pos]);
+ LOCK(m_mutex);
+ return VersionBitsConditionChecker(pos).GetStateSinceHeightFor(pindexPrev, params, m_caches[pos]);
}
-uint32_t VersionBitsMask(const Consensus::Params& params, Consensus::DeploymentPos pos)
+uint32_t VersionBitsCache::Mask(const Consensus::Params& params, Consensus::DeploymentPos pos)
{
return VersionBitsConditionChecker(pos).Mask(params);
}
+int32_t VersionBitsCache::ComputeBlockVersion(const CBlockIndex* pindexPrev, const Consensus::Params& params)
+{
+ LOCK(m_mutex);
+ int32_t nVersion = VERSIONBITS_TOP_BITS;
+
+ for (int i = 0; i < (int)Consensus::MAX_VERSION_BITS_DEPLOYMENTS; i++) {
+ Consensus::DeploymentPos pos = static_cast<Consensus::DeploymentPos>(i);
+ ThresholdState state = VersionBitsConditionChecker(pos).GetStateFor(pindexPrev, params, m_caches[pos]);
+ if (state == ThresholdState::LOCKED_IN || state == ThresholdState::STARTED) {
+ nVersion |= Mask(params, pos);
+ }
+ }
+
+ return nVersion;
+}
+
void VersionBitsCache::Clear()
{
+ LOCK(m_mutex);
for (unsigned int d = 0; d < Consensus::MAX_VERSION_BITS_DEPLOYMENTS; d++) {
- caches[d].clear();
+ m_caches[d].clear();
}
}
diff --git a/src/versionbits.h b/src/versionbits.h
index 6df1db8814..1b3fa11e61 100644
--- a/src/versionbits.h
+++ b/src/versionbits.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2019 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,6 +6,8 @@
#define BITCOIN_VERSIONBITS_H
#include <chain.h>
+#include <sync.h>
+
#include <map>
/** What block version to use for new blocks (pre versionbits) */
@@ -25,7 +27,7 @@ static const int32_t VERSIONBITS_NUM_BITS = 29;
enum class ThresholdState {
DEFINED, // First state that each softfork starts out as. The genesis block is by definition in this state for each deployment.
STARTED, // For blocks past the starttime.
- LOCKED_IN, // For one retarget period after the first retarget period with STARTED blocks of which at least threshold have the associated bit set in nVersion.
+ LOCKED_IN, // For at least one retarget period after the first retarget period with STARTED blocks of which at least threshold have the associated bit set in nVersion, until min_activation_height is reached.
ACTIVE, // For all blocks after the LOCKED_IN retarget period (final state)
FAILED, // For all blocks once the first retarget period after the timeout time is hit, if LOCKED_IN wasn't already reached (final state)
};
@@ -57,12 +59,15 @@ protected:
virtual bool Condition(const CBlockIndex* pindex, const Consensus::Params& params) const =0;
virtual int64_t BeginTime(const Consensus::Params& params) const =0;
virtual int64_t EndTime(const Consensus::Params& params) const =0;
+ virtual int MinActivationHeight(const Consensus::Params& params) const { return 0; }
virtual int Period(const Consensus::Params& params) const =0;
virtual int Threshold(const Consensus::Params& params) const =0;
public:
- /** Returns the numerical statistics of an in-progress BIP9 softfork in the current period */
- BIP9Stats GetStateStatisticsFor(const CBlockIndex* pindex, const Consensus::Params& params) const;
+ /** Returns the numerical statistics of an in-progress BIP9 softfork in the period including pindex
+ * If provided, signalling_blocks is set to true/false based on whether each block in the period signalled
+ */
+ BIP9Stats GetStateStatisticsFor(const CBlockIndex* pindex, const Consensus::Params& params, std::vector<bool>* signalling_blocks = nullptr) const;
/** Returns the state for pindex A based on parent pindexPrev B. Applies any state transition if conditions are present.
* Caches state from first block of period. */
ThresholdState GetStateFor(const CBlockIndex* pindexPrev, const Consensus::Params& params, ThresholdConditionCache& cache) const;
@@ -70,21 +75,33 @@ public:
int GetStateSinceHeightFor(const CBlockIndex* pindexPrev, const Consensus::Params& params, ThresholdConditionCache& cache) const;
};
-/** BIP 9 allows multiple softforks to be deployed in parallel. We cache per-period state for every one of them
- * keyed by the bit position used to signal support. */
-struct VersionBitsCache
+/** BIP 9 allows multiple softforks to be deployed in parallel. We cache
+ * per-period state for every one of them. */
+class VersionBitsCache
{
- ThresholdConditionCache caches[Consensus::MAX_VERSION_BITS_DEPLOYMENTS];
+private:
+ Mutex m_mutex;
+ ThresholdConditionCache m_caches[Consensus::MAX_VERSION_BITS_DEPLOYMENTS] GUARDED_BY(m_mutex);
+
+public:
+ /** Get the numerical statistics for a given deployment for the signalling period that includes pindex.
+ * If provided, signalling_blocks is set to true/false based on whether each block in the period signalled
+ */
+ static BIP9Stats Statistics(const CBlockIndex* pindex, const Consensus::Params& params, Consensus::DeploymentPos pos, std::vector<bool>* signalling_blocks = nullptr);
+
+ static uint32_t Mask(const Consensus::Params& params, Consensus::DeploymentPos pos);
+
+ /** Get the BIP9 state for a given deployment for the block after pindexPrev. */
+ ThresholdState State(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos);
+
+ /** Get the block height at which the BIP9 deployment switched into the state for the block after pindexPrev. */
+ int StateSinceHeight(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos);
+
+ /** Determine what nVersion a new block should use
+ */
+ int32_t ComputeBlockVersion(const CBlockIndex* pindexPrev, const Consensus::Params& params);
void Clear();
};
-/** Get the BIP9 state for a given deployment at the current tip. */
-ThresholdState VersionBitsState(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos, VersionBitsCache& cache);
-/** Get the numerical statistics for the BIP9 state for a given deployment at the current tip. */
-BIP9Stats VersionBitsStatistics(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos);
-/** Get the block height at which the BIP9 deployment switched into the state for the block building on the current tip. */
-int VersionBitsStateSinceHeight(const CBlockIndex* pindexPrev, const Consensus::Params& params, Consensus::DeploymentPos pos, VersionBitsCache& cache);
-uint32_t VersionBitsMask(const Consensus::Params& params, Consensus::DeploymentPos pos);
-
#endif // BITCOIN_VERSIONBITS_H
diff --git a/src/versionbitsinfo.cpp b/src/versionbitsinfo.cpp
deleted file mode 100644
index fa41bad46d..0000000000
--- a/src/versionbitsinfo.cpp
+++ /dev/null
@@ -1,18 +0,0 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#include <versionbitsinfo.h>
-
-#include <consensus/params.h>
-
-const struct VBDeploymentInfo VersionBitsDeploymentInfo[Consensus::MAX_VERSION_BITS_DEPLOYMENTS] = {
- {
- /*.name =*/ "testdummy",
- /*.gbt_force =*/ true,
- },
- {
- /*.name =*/ "taproot",
- /*.gbt_force =*/ true,
- },
-};
diff --git a/src/versionbitsinfo.h b/src/versionbitsinfo.h
deleted file mode 100644
index a7822bc747..0000000000
--- a/src/versionbitsinfo.h
+++ /dev/null
@@ -1,17 +0,0 @@
-// Copyright (c) 2016-2018 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#ifndef BITCOIN_VERSIONBITSINFO_H
-#define BITCOIN_VERSIONBITSINFO_H
-
-struct VBDeploymentInfo {
- /** Deployment name */
- const char *name;
- /** Whether GBT clients can safely ignore this rule in simplified usage */
- bool gbt_force;
-};
-
-extern const struct VBDeploymentInfo VersionBitsDeploymentInfo[];
-
-#endif // BITCOIN_VERSIONBITSINFO_H
diff --git a/src/wallet/bdb.cpp b/src/wallet/bdb.cpp
index ad40e6da9a..49f0abf9e7 100644
--- a/src/wallet/bdb.cpp
+++ b/src/wallet/bdb.cpp
@@ -1,8 +1,9 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#include <fs.h>
#include <wallet/bdb.h>
#include <wallet/db.h>
@@ -15,6 +16,7 @@
#include <sys/stat.h>
#endif
+namespace wallet {
namespace {
//! Make sure database has a unique fileid within the environment. If it
@@ -61,9 +63,9 @@ bool WalletDatabaseFileId::operator==(const WalletDatabaseFileId& rhs) const
std::shared_ptr<BerkeleyEnvironment> GetBerkeleyEnv(const fs::path& env_directory)
{
LOCK(cs_db);
- auto inserted = g_dbenvs.emplace(env_directory.string(), std::weak_ptr<BerkeleyEnvironment>());
+ auto inserted = g_dbenvs.emplace(fs::PathToString(env_directory), std::weak_ptr<BerkeleyEnvironment>());
if (inserted.second) {
- auto env = std::make_shared<BerkeleyEnvironment>(env_directory.string());
+ auto env = std::make_shared<BerkeleyEnvironment>(env_directory);
inserted.first->second = env;
return env;
}
@@ -101,7 +103,7 @@ void BerkeleyEnvironment::Close()
if (error_file) fclose(error_file);
- UnlockDirectory(strPath, ".walletlock");
+ UnlockDirectory(fs::PathFromString(strPath), ".walletlock");
}
void BerkeleyEnvironment::Reset()
@@ -111,7 +113,7 @@ void BerkeleyEnvironment::Reset()
fMockDb = false;
}
-BerkeleyEnvironment::BerkeleyEnvironment(const fs::path& dir_path) : strPath(dir_path.string())
+BerkeleyEnvironment::BerkeleyEnvironment(const fs::path& dir_path) : strPath(fs::PathToString(dir_path))
{
Reset();
}
@@ -129,24 +131,24 @@ bool BerkeleyEnvironment::Open(bilingual_str& err)
return true;
}
- fs::path pathIn = strPath;
+ fs::path pathIn = fs::PathFromString(strPath);
TryCreateDirectories(pathIn);
if (!LockDirectory(pathIn, ".walletlock")) {
- LogPrintf("Cannot obtain a lock on wallet directory %s. Another instance of bitcoin may be using it.\n", strPath);
- err = strprintf(_("Error initializing wallet database environment %s!"), Directory());
+ LogPrintf("Cannot obtain a lock on wallet directory %s. Another instance may be using it.\n", strPath);
+ err = strprintf(_("Error initializing wallet database environment %s!"), fs::quoted(fs::PathToString(Directory())));
return false;
}
fs::path pathLogDir = pathIn / "database";
TryCreateDirectories(pathLogDir);
fs::path pathErrorFile = pathIn / "db.log";
- LogPrintf("BerkeleyEnvironment::Open: LogDir=%s ErrorFile=%s\n", pathLogDir.string(), pathErrorFile.string());
+ LogPrintf("BerkeleyEnvironment::Open: LogDir=%s ErrorFile=%s\n", fs::PathToString(pathLogDir), fs::PathToString(pathErrorFile));
unsigned int nEnvFlags = 0;
if (gArgs.GetBoolArg("-privdb", DEFAULT_WALLET_PRIVDB))
nEnvFlags |= DB_PRIVATE;
- dbenv->set_lg_dir(pathLogDir.string().c_str());
+ dbenv->set_lg_dir(fs::PathToString(pathLogDir).c_str());
dbenv->set_cachesize(0, 0x100000, 1); // 1 MiB should be enough for just the wallet
dbenv->set_lg_bsize(0x10000);
dbenv->set_lg_max(1048576);
@@ -173,7 +175,7 @@ bool BerkeleyEnvironment::Open(bilingual_str& err)
LogPrintf("BerkeleyEnvironment::Open: Error %d closing failed database environment: %s\n", ret2, DbEnv::strerror(ret2));
}
Reset();
- err = strprintf(_("Error initializing wallet database environment %s!"), Directory());
+ err = strprintf(_("Error initializing wallet database environment %s!"), fs::quoted(fs::PathToString(Directory())));
if (ret == DB_RUNRECOVERY) {
err += Untranslated(" ") + _("This error could occur if this wallet was not shutdown cleanly and was last loaded using a build with a newer version of Berkeley DB. If so, please use the software that last loaded this wallet");
}
@@ -261,7 +263,7 @@ bool BerkeleyDatabase::Verify(bilingual_str& errorStr)
fs::path file_path = walletDir / strFile;
LogPrintf("Using BerkeleyDB version %s\n", BerkeleyDatabaseVersion());
- LogPrintf("Using wallet %s\n", file_path.string());
+ LogPrintf("Using wallet %s\n", fs::PathToString(file_path));
if (!env->Open(errorStr)) {
return false;
@@ -274,7 +276,7 @@ bool BerkeleyDatabase::Verify(bilingual_str& errorStr)
Db db(env->dbenv.get(), 0);
int result = db.verify(strFile.c_str(), nullptr, nullptr, 0);
if (result != 0) {
- errorStr = strprintf(_("%s corrupt. Try using the wallet tool bitcoin-wallet to salvage or restoring a backup."), file_path);
+ errorStr = strprintf(_("%s corrupt. Try using the wallet tool bitcoin-wallet to salvage or restoring a backup."), fs::quoted(fs::PathToString(file_path)));
return false;
}
}
@@ -331,7 +333,7 @@ void BerkeleyDatabase::Open()
if (m_db == nullptr) {
int ret;
- std::unique_ptr<Db> pdb_temp = MakeUnique<Db>(env->dbenv.get(), 0);
+ std::unique_ptr<Db> pdb_temp = std::make_unique<Db>(env->dbenv.get(), 0);
bool fMockDb = env->IsMock();
if (fMockDb) {
@@ -375,7 +377,7 @@ void BerkeleyBatch::Flush()
nMinutes = 1;
if (env) { // env is nullptr for dummy databases (i.e. in tests). Don't actually flush if env is nullptr so we don't segfault
- env->dbenv->txn_checkpoint(nMinutes ? gArgs.GetArg("-dblogsize", DEFAULT_WALLET_DBLOGSIZE) * 1024 : 0, nMinutes, 0);
+ env->dbenv->txn_checkpoint(nMinutes ? gArgs.GetIntArg("-dblogsize", DEFAULT_WALLET_DBLOGSIZE) * 1024 : 0, nMinutes, 0);
}
}
@@ -462,7 +464,7 @@ bool BerkeleyDatabase::Rewrite(const char* pszSkip)
std::string strFileRes = strFile + ".rewrite";
{ // surround usage of db with extra {}
BerkeleyBatch db(*this, true);
- std::unique_ptr<Db> pdbCopy = MakeUnique<Db>(env->dbenv.get(), 0);
+ std::unique_ptr<Db> pdbCopy = std::make_unique<Db>(env->dbenv.get(), 0);
int ret = pdbCopy->open(nullptr, // Txn pointer
strFileRes.c_str(), // Filename
@@ -566,7 +568,7 @@ void BerkeleyEnvironment::Flush(bool fShutdown)
dbenv->log_archive(&listp, DB_ARCH_REMOVE);
Close();
if (!fMockDb) {
- fs::remove_all(fs::path(strPath) / "database");
+ fs::remove_all(fs::PathFromString(strPath) / "database");
}
}
}
@@ -614,21 +616,21 @@ bool BerkeleyDatabase::Backup(const std::string& strDest) const
// Copy wallet file
fs::path pathSrc = env->Directory() / strFile;
- fs::path pathDest(strDest);
+ fs::path pathDest(fs::PathFromString(strDest));
if (fs::is_directory(pathDest))
- pathDest /= strFile;
+ pathDest /= fs::PathFromString(strFile);
try {
- if (fs::equivalent(pathSrc, pathDest)) {
- LogPrintf("cannot backup to wallet source file %s\n", pathDest.string());
+ if (fs::exists(pathDest) && fs::equivalent(pathSrc, pathDest)) {
+ LogPrintf("cannot backup to wallet source file %s\n", fs::PathToString(pathDest));
return false;
}
- fs::copy_file(pathSrc, pathDest, fs::copy_option::overwrite_if_exists);
- LogPrintf("copied %s to %s\n", strFile, pathDest.string());
+ fs::copy_file(pathSrc, pathDest, fs::copy_options::overwrite_existing);
+ LogPrintf("copied %s to %s\n", strFile, fs::PathToString(pathDest));
return true;
} catch (const fs::filesystem_error& e) {
- LogPrintf("error copying %s to %s - %s\n", strFile, pathDest.string(), fsbridge::get_filesystem_error_message(e));
+ LogPrintf("error copying %s to %s - %s\n", strFile, fs::PathToString(pathDest), fsbridge::get_filesystem_error_message(e));
return false;
}
}
@@ -680,10 +682,10 @@ bool BerkeleyBatch::ReadAtCursor(CDataStream& ssKey, CDataStream& ssValue, bool&
// Convert to streams
ssKey.SetType(SER_DISK);
ssKey.clear();
- ssKey.write((char*)datKey.get_data(), datKey.get_size());
+ ssKey.write({BytePtr(datKey.get_data()), datKey.get_size()});
ssValue.SetType(SER_DISK);
ssValue.clear();
- ssValue.write((char*)datValue.get_data(), datValue.get_size());
+ ssValue.write({BytePtr(datValue.get_data()), datValue.get_size()});
return true;
}
@@ -755,7 +757,7 @@ bool BerkeleyBatch::ReadKey(CDataStream&& key, CDataStream& value)
SafeDbt datValue;
int ret = pdb->get(activeTxn, datKey, datValue, 0);
if (ret == 0 && datValue.get_data() != nullptr) {
- value.write((char*)datValue.get_data(), datValue.get_size());
+ value.write({BytePtr(datValue.get_data()), datValue.get_size()});
return true;
}
return false;
@@ -819,7 +821,7 @@ void BerkeleyDatabase::RemoveRef()
std::unique_ptr<DatabaseBatch> BerkeleyDatabase::MakeBatch(bool flush_on_close)
{
- return MakeUnique<BerkeleyBatch>(*this, false, flush_on_close);
+ return std::make_unique<BerkeleyBatch>(*this, false, flush_on_close);
}
std::unique_ptr<BerkeleyDatabase> MakeBerkeleyDatabase(const fs::path& path, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error)
@@ -828,14 +830,14 @@ std::unique_ptr<BerkeleyDatabase> MakeBerkeleyDatabase(const fs::path& path, con
std::unique_ptr<BerkeleyDatabase> db;
{
LOCK(cs_db); // Lock env.m_databases until insert in BerkeleyDatabase constructor
- std::string data_filename = data_file.filename().string();
+ std::string data_filename = fs::PathToString(data_file.filename());
std::shared_ptr<BerkeleyEnvironment> env = GetBerkeleyEnv(data_file.parent_path());
if (env->m_databases.count(data_filename)) {
- error = Untranslated(strprintf("Refusing to load database. Data file '%s' is already loaded.", (env->Directory() / data_filename).string()));
+ error = Untranslated(strprintf("Refusing to load database. Data file '%s' is already loaded.", fs::PathToString(env->Directory() / data_filename)));
status = DatabaseStatus::FAILED_ALREADY_LOADED;
return nullptr;
}
- db = MakeUnique<BerkeleyDatabase>(std::move(env), std::move(data_filename));
+ db = std::make_unique<BerkeleyDatabase>(std::move(env), std::move(data_filename));
}
if (options.verify && !db->Verify(error)) {
@@ -846,3 +848,4 @@ std::unique_ptr<BerkeleyDatabase> MakeBerkeleyDatabase(const fs::path& path, con
status = DatabaseStatus::SUCCESS;
return db;
}
+} // namespace wallet
diff --git a/src/wallet/bdb.h b/src/wallet/bdb.h
index a8209587d7..b924890d81 100644
--- a/src/wallet/bdb.h
+++ b/src/wallet/bdb.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -31,6 +31,7 @@
struct bilingual_str;
+namespace wallet {
static const unsigned int DEFAULT_WALLET_DBLOGSIZE = 100;
static const bool DEFAULT_WALLET_PRIVDB = true;
@@ -63,7 +64,7 @@ public:
bool IsMock() const { return fMockDb; }
bool IsInitialized() const { return fDbEnvInit; }
- fs::path Directory() const { return strPath; }
+ fs::path Directory() const { return fs::PathFromString(strPath); }
bool Open(bilingual_str& error);
void Close();
@@ -113,7 +114,7 @@ public:
*/
bool Rewrite(const char* pszSkip=nullptr) override;
- /** Indicate the a new database user has began using the database. */
+ /** Indicate that a new database user has begun using the database. */
void AddRef() override;
/** Indicate that database user has stopped using the database and that it could be flushed or closed. */
void RemoveRef() override;
@@ -141,7 +142,7 @@ public:
bool Verify(bilingual_str& error);
/** Return path to main database filename */
- std::string Filename() override { return (env->Directory() / strFile).string(); }
+ std::string Filename() override { return fs::PathToString(env->Directory() / strFile); }
std::string Format() override { return "bdb"; }
/**
@@ -229,5 +230,6 @@ bool BerkeleyDatabaseSanityCheck();
//! Return object giving access to Berkeley database at specified path.
std::unique_ptr<BerkeleyDatabase> MakeBerkeleyDatabase(const fs::path& path, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error);
+} // namespace wallet
#endif // BITCOIN_WALLET_BDB_H
diff --git a/src/wallet/coincontrol.cpp b/src/wallet/coincontrol.cpp
index 720877ead0..3b3c1f8da4 100644
--- a/src/wallet/coincontrol.cpp
+++ b/src/wallet/coincontrol.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2019 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,21 +6,9 @@
#include <util/system.h>
-void CCoinControl::SetNull()
+namespace wallet {
+CCoinControl::CCoinControl()
{
- destChange = CNoDestination();
- m_change_type.reset();
- m_add_inputs = true;
- fAllowOtherInputs = false;
- fAllowWatchOnly = false;
m_avoid_partial_spends = gArgs.GetBoolArg("-avoidpartialspends", DEFAULT_AVOIDPARTIALSPENDS);
- m_avoid_address_reuse = false;
- setSelected.clear();
- m_feerate.reset();
- fOverrideFeeRate = false;
- m_confirm_target.reset();
- m_signal_bip125_rbf.reset();
- m_fee_mode = FeeEstimateMode::UNSET;
- m_min_depth = DEFAULT_MIN_DEPTH;
- m_max_depth = DEFAULT_MAX_DEPTH;
}
+} // namespace wallet
diff --git a/src/wallet/coincontrol.h b/src/wallet/coincontrol.h
index c499b0ff25..65a5c83366 100644
--- a/src/wallet/coincontrol.h
+++ b/src/wallet/coincontrol.h
@@ -1,17 +1,24 @@
-// Copyright (c) 2011-2019 The Bitcoin Core developers
+// Copyright (c) 2011-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_COINCONTROL_H
#define BITCOIN_WALLET_COINCONTROL_H
-#include <optional.h>
#include <outputtype.h>
#include <policy/feerate.h>
#include <policy/fees.h>
#include <primitives/transaction.h>
+#include <script/keyorigin.h>
+#include <script/signingprovider.h>
#include <script/standard.h>
+#include <optional>
+#include <algorithm>
+#include <map>
+#include <set>
+
+namespace wallet {
const int DEFAULT_MIN_DEPTH = 0;
const int DEFAULT_MAX_DEPTH = 9999999;
@@ -23,40 +30,39 @@ class CCoinControl
{
public:
//! Custom change destination, if not set an address is generated
- CTxDestination destChange;
+ CTxDestination destChange = CNoDestination();
//! Override the default change type if set, ignored if destChange is set
- Optional<OutputType> m_change_type;
+ std::optional<OutputType> m_change_type;
//! If false, only selected inputs are used
- bool m_add_inputs;
+ bool m_add_inputs = true;
+ //! If false, only safe inputs will be used
+ bool m_include_unsafe_inputs = false;
//! If false, allows unselected inputs, but requires all selected inputs be used
- bool fAllowOtherInputs;
+ bool fAllowOtherInputs = false;
//! Includes watch only addresses which are solvable
- bool fAllowWatchOnly;
+ bool fAllowWatchOnly = false;
//! Override automatic min/max checks on fee, m_feerate must be set if true
- bool fOverrideFeeRate;
+ bool fOverrideFeeRate = false;
//! Override the wallet's m_pay_tx_fee if set
- Optional<CFeeRate> m_feerate;
+ std::optional<CFeeRate> m_feerate;
//! Override the default confirmation target if set
- Optional<unsigned int> m_confirm_target;
+ std::optional<unsigned int> m_confirm_target;
//! Override the wallet's m_signal_rbf if set
- Optional<bool> m_signal_bip125_rbf;
+ std::optional<bool> m_signal_bip125_rbf;
//! Avoid partial use of funds sent to a given address
- bool m_avoid_partial_spends;
+ bool m_avoid_partial_spends = DEFAULT_AVOIDPARTIALSPENDS;
//! Forbids inclusion of dirty (previously used) addresses
- bool m_avoid_address_reuse;
+ bool m_avoid_address_reuse = false;
//! Fee estimation mode to control arguments to estimateSmartFee
- FeeEstimateMode m_fee_mode;
+ FeeEstimateMode m_fee_mode = FeeEstimateMode::UNSET;
//! Minimum chain depth value for coin availability
int m_min_depth = DEFAULT_MIN_DEPTH;
//! Maximum chain depth value for coin availability
int m_max_depth = DEFAULT_MAX_DEPTH;
+ //! SigningProvider that has pubkeys and scripts to do spend size estimation for external inputs
+ FlatSigningProvider m_external_provider;
- CCoinControl()
- {
- SetNull();
- }
-
- void SetNull();
+ CCoinControl();
bool HasSelected() const
{
@@ -68,11 +74,32 @@ public:
return (setSelected.count(output) > 0);
}
+ bool IsExternalSelected(const COutPoint& output) const
+ {
+ return (m_external_txouts.count(output) > 0);
+ }
+
+ bool GetExternalOutput(const COutPoint& outpoint, CTxOut& txout) const
+ {
+ const auto ext_it = m_external_txouts.find(outpoint);
+ if (ext_it == m_external_txouts.end()) {
+ return false;
+ }
+ txout = ext_it->second;
+ return true;
+ }
+
void Select(const COutPoint& output)
{
setSelected.insert(output);
}
+ void SelectExternal(const COutPoint& outpoint, const CTxOut& txout)
+ {
+ setSelected.insert(outpoint);
+ m_external_txouts.emplace(outpoint, txout);
+ }
+
void UnSelect(const COutPoint& output)
{
setSelected.erase(output);
@@ -88,8 +115,29 @@ public:
vOutpoints.assign(setSelected.begin(), setSelected.end());
}
+ void SetInputWeight(const COutPoint& outpoint, int64_t weight)
+ {
+ m_input_weights[outpoint] = weight;
+ }
+
+ bool HasInputWeight(const COutPoint& outpoint) const
+ {
+ return m_input_weights.count(outpoint) > 0;
+ }
+
+ int64_t GetInputWeight(const COutPoint& outpoint) const
+ {
+ auto it = m_input_weights.find(outpoint);
+ assert(it != m_input_weights.end());
+ return it->second;
+ }
+
private:
std::set<COutPoint> setSelected;
+ std::map<COutPoint, CTxOut> m_external_txouts;
+ //! Map of COutPoints to the maximum weight for that input
+ std::map<COutPoint, int64_t> m_input_weights;
};
+} // namespace wallet
#endif // BITCOIN_WALLET_COINCONTROL_H
diff --git a/src/wallet/coinselection.cpp b/src/wallet/coinselection.cpp
index 10f89e3a6f..23faad027f 100644
--- a/src/wallet/coinselection.cpp
+++ b/src/wallet/coinselection.cpp
@@ -1,19 +1,24 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <wallet/coinselection.h>
-#include <optional.h>
+#include <consensus/amount.h>
#include <policy/feerate.h>
+#include <util/check.h>
#include <util/system.h>
#include <util/moneystr.h>
+#include <numeric>
+#include <optional>
+
+namespace wallet {
// Descending order comparator
struct {
bool operator()(const OutputGroup& a, const OutputGroup& b) const
{
- return a.effective_value > b.effective_value;
+ return a.GetSelectionAmount() > b.GetSelectionAmount();
}
} descending;
@@ -22,7 +27,7 @@ struct {
* set that can pay for the spending target and does not exceed the spending target by more than the
* cost of creating and spending a change output. The algorithm uses a depth-first search on a binary
* tree. In the binary tree, each node corresponds to the inclusion or the omission of a UTXO. UTXOs
- * are sorted by their effective values and the trees is explored deterministically per the inclusion
+ * are sorted by their effective values and the tree is explored deterministically per the inclusion
* branch first. At each node, the algorithm checks whether the selection is within the target range.
* While the selection has not reached the target range, more UTXOs are included. When a selection's
* value exceeds the target range, the complete subtree deriving from this selection can be omitted.
@@ -32,7 +37,7 @@ struct {
* The search continues to search for better solutions after one solution has been found. The best
* solution is chosen by minimizing the waste metric. The waste metric is defined as the cost to
* spend the current inputs at the given fee rate minus the long term expected cost to spend the
- * inputs, plus the amount the selection exceeds the spending target:
+ * inputs, plus the amount by which the selection exceeds the spending target:
*
* waste = selectionTotal - target + inputs × (currentFeeRate - longTermFeeRate)
*
@@ -48,38 +53,32 @@ struct {
* @param const std::vector<CInputCoin>& utxo_pool The set of UTXOs that we are choosing from.
* These UTXOs will be sorted in descending order by effective value and the CInputCoins'
* values are their effective values.
- * @param const CAmount& target_value This is the value that we want to select. It is the lower
+ * @param const CAmount& selection_target This is the value that we want to select. It is the lower
* bound of the range.
* @param const CAmount& cost_of_change This is the cost of creating and spending a change output.
- * This plus target_value is the upper bound of the range.
- * @param std::set<CInputCoin>& out_set -> This is an output parameter for the set of CInputCoins
- * that have been selected.
- * @param CAmount& value_ret -> This is an output parameter for the total value of the CInputCoins
- * that were selected.
- * @param CAmount not_input_fees -> The fees that need to be paid for the outputs and fixed size
- * overhead (version, locktime, marker and flag)
+ * This plus selection_target is the upper bound of the range.
+ * @returns The result of this coin selection algorithm, or std::nullopt
*/
static const size_t TOTAL_TRIES = 100000;
-bool SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& target_value, const CAmount& cost_of_change, std::set<CInputCoin>& out_set, CAmount& value_ret, CAmount not_input_fees)
+std::optional<SelectionResult> SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& selection_target, const CAmount& cost_of_change)
{
- out_set.clear();
+ SelectionResult result(selection_target);
CAmount curr_value = 0;
std::vector<bool> curr_selection; // select the utxo at this index
curr_selection.reserve(utxo_pool.size());
- CAmount actual_target = not_input_fees + target_value;
// Calculate curr_available_value
CAmount curr_available_value = 0;
for (const OutputGroup& utxo : utxo_pool) {
// Assert that this utxo is not negative. It should never be negative, effective value calculation should have removed it
- assert(utxo.effective_value > 0);
- curr_available_value += utxo.effective_value;
+ assert(utxo.GetSelectionAmount() > 0);
+ curr_available_value += utxo.GetSelectionAmount();
}
- if (curr_available_value < actual_target) {
- return false;
+ if (curr_available_value < selection_target) {
+ return std::nullopt;
}
// Sort the utxo_pool
@@ -93,12 +92,12 @@ bool SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& target_v
for (size_t i = 0; i < TOTAL_TRIES; ++i) {
// Conditions for starting a backtrack
bool backtrack = false;
- if (curr_value + curr_available_value < actual_target || // Cannot possibly reach target with the amount remaining in the curr_available_value.
- curr_value > actual_target + cost_of_change || // Selected value is out of range, go back and try other branch
+ if (curr_value + curr_available_value < selection_target || // Cannot possibly reach target with the amount remaining in the curr_available_value.
+ curr_value > selection_target + cost_of_change || // Selected value is out of range, go back and try other branch
(curr_waste > best_waste && (utxo_pool.at(0).fee - utxo_pool.at(0).long_term_fee) > 0)) { // Don't select things which we know will be more wasteful if the waste is increasing
backtrack = true;
- } else if (curr_value >= actual_target) { // Selected value is within range
- curr_waste += (curr_value - actual_target); // This is the excess value which is added to the waste for the below comparison
+ } else if (curr_value >= selection_target) { // Selected value is within range
+ curr_waste += (curr_value - selection_target); // This is the excess value which is added to the waste for the below comparison
// Adding another UTXO after this check could bring the waste down if the long term fee is higher than the current fee.
// However we are not going to explore that because this optimization for the waste is only done when we have hit our target
// value. Adding any more UTXOs will be just burning the UTXO; it will go entirely to fees. Thus we aren't going to
@@ -111,7 +110,7 @@ bool SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& target_v
break;
}
}
- curr_waste -= (curr_value - actual_target); // Remove the excess value as we will be selecting different coins now
+ curr_waste -= (curr_value - selection_target); // Remove the excess value as we will be selecting different coins now
backtrack = true;
}
@@ -120,7 +119,7 @@ bool SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& target_v
// Walk backwards to find the last included UTXO that still needs to have its omission branch traversed.
while (!curr_selection.empty() && !curr_selection.back()) {
curr_selection.pop_back();
- curr_available_value += utxo_pool.at(curr_selection.size()).effective_value;
+ curr_available_value += utxo_pool.at(curr_selection.size()).GetSelectionAmount();
}
if (curr_selection.empty()) { // We have walked back to the first utxo and no branch is untraversed. All solutions searched
@@ -130,24 +129,24 @@ bool SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& target_v
// Output was included on previous iterations, try excluding now.
curr_selection.back() = false;
OutputGroup& utxo = utxo_pool.at(curr_selection.size() - 1);
- curr_value -= utxo.effective_value;
+ curr_value -= utxo.GetSelectionAmount();
curr_waste -= utxo.fee - utxo.long_term_fee;
} else { // Moving forwards, continuing down this branch
OutputGroup& utxo = utxo_pool.at(curr_selection.size());
// Remove this utxo from the curr_available_value utxo amount
- curr_available_value -= utxo.effective_value;
+ curr_available_value -= utxo.GetSelectionAmount();
// Avoid searching a branch if the previous UTXO has the same value and same waste and was excluded. Since the ratio of fee to
// long term fee is the same, we only need to check if one of those values match in order to know that the waste is the same.
if (!curr_selection.empty() && !curr_selection.back() &&
- utxo.effective_value == utxo_pool.at(curr_selection.size() - 1).effective_value &&
+ utxo.GetSelectionAmount() == utxo_pool.at(curr_selection.size() - 1).GetSelectionAmount() &&
utxo.fee == utxo_pool.at(curr_selection.size() - 1).fee) {
curr_selection.push_back(false);
} else {
// Inclusion branch first (Largest First Exploration)
curr_selection.push_back(true);
- curr_value += utxo.effective_value;
+ curr_value += utxo.GetSelectionAmount();
curr_waste += utxo.fee - utxo.long_term_fee;
}
}
@@ -155,19 +154,39 @@ bool SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& target_v
// Check for solution
if (best_selection.empty()) {
- return false;
+ return std::nullopt;
}
// Set output set
- value_ret = 0;
for (size_t i = 0; i < best_selection.size(); ++i) {
if (best_selection.at(i)) {
- util::insert(out_set, utxo_pool.at(i).m_outputs);
- value_ret += utxo_pool.at(i).m_value;
+ result.AddInput(utxo_pool.at(i));
}
}
- return true;
+ return result;
+}
+
+std::optional<SelectionResult> SelectCoinsSRD(const std::vector<OutputGroup>& utxo_pool, CAmount target_value)
+{
+ SelectionResult result(target_value);
+
+ std::vector<size_t> indexes;
+ indexes.resize(utxo_pool.size());
+ std::iota(indexes.begin(), indexes.end(), 0);
+ Shuffle(indexes.begin(), indexes.end(), FastRandomContext());
+
+ CAmount selected_eff_value = 0;
+ for (const size_t i : indexes) {
+ const OutputGroup& group = utxo_pool.at(i);
+ Assume(group.GetSelectionAmount() > 0);
+ selected_eff_value += group.GetSelectionAmount();
+ result.AddInput(group);
+ if (selected_eff_value >= target_value) {
+ return result;
+ }
+ }
+ return std::nullopt;
}
static void ApproximateBestSubset(const std::vector<OutputGroup>& groups, const CAmount& nTotalLower, const CAmount& nTargetValue,
@@ -197,7 +216,7 @@ static void ApproximateBestSubset(const std::vector<OutputGroup>& groups, const
//the selection random.
if (nPass == 0 ? insecure_rand.randbool() : !vfIncluded[i])
{
- nTotal += groups[i].m_value;
+ nTotal += groups[i].GetSelectionAmount();
vfIncluded[i] = true;
if (nTotal >= nTargetValue)
{
@@ -207,7 +226,7 @@ static void ApproximateBestSubset(const std::vector<OutputGroup>& groups, const
nBest = nTotal;
vfBest = vfIncluded;
}
- nTotal -= groups[i].m_value;
+ nTotal -= groups[i].GetSelectionAmount();
vfIncluded[i] = false;
}
}
@@ -216,44 +235,40 @@ static void ApproximateBestSubset(const std::vector<OutputGroup>& groups, const
}
}
-bool KnapsackSolver(const CAmount& nTargetValue, std::vector<OutputGroup>& groups, std::set<CInputCoin>& setCoinsRet, CAmount& nValueRet)
+std::optional<SelectionResult> KnapsackSolver(std::vector<OutputGroup>& groups, const CAmount& nTargetValue)
{
- setCoinsRet.clear();
- nValueRet = 0;
+ SelectionResult result(nTargetValue);
// List of values less than target
- Optional<OutputGroup> lowest_larger;
+ std::optional<OutputGroup> lowest_larger;
std::vector<OutputGroup> applicable_groups;
CAmount nTotalLower = 0;
Shuffle(groups.begin(), groups.end(), FastRandomContext());
for (const OutputGroup& group : groups) {
- if (group.m_value == nTargetValue) {
- util::insert(setCoinsRet, group.m_outputs);
- nValueRet += group.m_value;
- return true;
- } else if (group.m_value < nTargetValue + MIN_CHANGE) {
+ if (group.GetSelectionAmount() == nTargetValue) {
+ result.AddInput(group);
+ return result;
+ } else if (group.GetSelectionAmount() < nTargetValue + MIN_CHANGE) {
applicable_groups.push_back(group);
- nTotalLower += group.m_value;
- } else if (!lowest_larger || group.m_value < lowest_larger->m_value) {
+ nTotalLower += group.GetSelectionAmount();
+ } else if (!lowest_larger || group.GetSelectionAmount() < lowest_larger->GetSelectionAmount()) {
lowest_larger = group;
}
}
if (nTotalLower == nTargetValue) {
for (const auto& group : applicable_groups) {
- util::insert(setCoinsRet, group.m_outputs);
- nValueRet += group.m_value;
+ result.AddInput(group);
}
- return true;
+ return result;
}
if (nTotalLower < nTargetValue) {
- if (!lowest_larger) return false;
- util::insert(setCoinsRet, lowest_larger->m_outputs);
- nValueRet += lowest_larger->m_value;
- return true;
+ if (!lowest_larger) return std::nullopt;
+ result.AddInput(*lowest_larger);
+ return result;
}
// Solve subset sum by stochastic approximation
@@ -269,29 +284,27 @@ bool KnapsackSolver(const CAmount& nTargetValue, std::vector<OutputGroup>& group
// If we have a bigger coin and (either the stochastic approximation didn't find a good solution,
// or the next bigger coin is closer), return the bigger coin
if (lowest_larger &&
- ((nBest != nTargetValue && nBest < nTargetValue + MIN_CHANGE) || lowest_larger->m_value <= nBest)) {
- util::insert(setCoinsRet, lowest_larger->m_outputs);
- nValueRet += lowest_larger->m_value;
+ ((nBest != nTargetValue && nBest < nTargetValue + MIN_CHANGE) || lowest_larger->GetSelectionAmount() <= nBest)) {
+ result.AddInput(*lowest_larger);
} else {
for (unsigned int i = 0; i < applicable_groups.size(); i++) {
if (vfBest[i]) {
- util::insert(setCoinsRet, applicable_groups[i].m_outputs);
- nValueRet += applicable_groups[i].m_value;
+ result.AddInput(applicable_groups[i]);
}
}
if (LogAcceptCategory(BCLog::SELECTCOINS)) {
- LogPrint(BCLog::SELECTCOINS, "SelectCoins() best subset: "); /* Continued */
+ std::string log_message{"Coin selection best subset: "};
for (unsigned int i = 0; i < applicable_groups.size(); i++) {
if (vfBest[i]) {
- LogPrint(BCLog::SELECTCOINS, "%s ", FormatMoney(applicable_groups[i].m_value)); /* Continued */
+ log_message += strprintf("%s ", FormatMoney(applicable_groups[i].m_value));
}
}
- LogPrint(BCLog::SELECTCOINS, "total %s\n", FormatMoney(nBest));
+ LogPrint(BCLog::SELECTCOINS, "%stotal %s\n", log_message, FormatMoney(nBest));
}
}
- return true;
+ return result;
}
/******************************************************************************
@@ -338,3 +351,83 @@ bool OutputGroup::EligibleForSpending(const CoinEligibilityFilter& eligibility_f
&& m_ancestors <= eligibility_filter.max_ancestors
&& m_descendants <= eligibility_filter.max_descendants;
}
+
+CAmount OutputGroup::GetSelectionAmount() const
+{
+ return m_subtract_fee_outputs ? m_value : effective_value;
+}
+
+CAmount GetSelectionWaste(const std::set<CInputCoin>& inputs, CAmount change_cost, CAmount target, bool use_effective_value)
+{
+ // This function should not be called with empty inputs as that would mean the selection failed
+ assert(!inputs.empty());
+
+ // Always consider the cost of spending an input now vs in the future.
+ CAmount waste = 0;
+ CAmount selected_effective_value = 0;
+ for (const CInputCoin& coin : inputs) {
+ waste += coin.m_fee - coin.m_long_term_fee;
+ selected_effective_value += use_effective_value ? coin.effective_value : coin.txout.nValue;
+ }
+
+ if (change_cost) {
+ // Consider the cost of making change and spending it in the future
+ // If we aren't making change, the caller should've set change_cost to 0
+ assert(change_cost > 0);
+ waste += change_cost;
+ } else {
+ // When we are not making change (change_cost == 0), consider the excess we are throwing away to fees
+ assert(selected_effective_value >= target);
+ waste += selected_effective_value - target;
+ }
+
+ return waste;
+}
+
+void SelectionResult::ComputeAndSetWaste(CAmount change_cost)
+{
+ m_waste = GetSelectionWaste(m_selected_inputs, change_cost, m_target, m_use_effective);
+}
+
+CAmount SelectionResult::GetWaste() const
+{
+ return *Assert(m_waste);
+}
+
+CAmount SelectionResult::GetSelectedValue() const
+{
+ return std::accumulate(m_selected_inputs.cbegin(), m_selected_inputs.cend(), CAmount{0}, [](CAmount sum, const auto& coin) { return sum + coin.txout.nValue; });
+}
+
+void SelectionResult::Clear()
+{
+ m_selected_inputs.clear();
+ m_waste.reset();
+}
+
+void SelectionResult::AddInput(const OutputGroup& group)
+{
+ util::insert(m_selected_inputs, group.m_outputs);
+ m_use_effective = !group.m_subtract_fee_outputs;
+}
+
+const std::set<CInputCoin>& SelectionResult::GetInputSet() const
+{
+ return m_selected_inputs;
+}
+
+std::vector<CInputCoin> SelectionResult::GetShuffledInputVector() const
+{
+ std::vector<CInputCoin> coins(m_selected_inputs.begin(), m_selected_inputs.end());
+ Shuffle(coins.begin(), coins.end(), FastRandomContext());
+ return coins;
+}
+
+bool SelectionResult::operator<(SelectionResult other) const
+{
+ Assert(m_waste.has_value());
+ Assert(other.m_waste.has_value());
+ // As this operator is only used in std::min_element, we want the result that has more inputs when waste are equal.
+ return *m_waste < *other.m_waste || (*m_waste == *other.m_waste && m_selected_inputs.size() > other.m_selected_inputs.size());
+}
+} // namespace wallet
diff --git a/src/wallet/coinselection.h b/src/wallet/coinselection.h
index f0e1addaf1..496a026999 100644
--- a/src/wallet/coinselection.h
+++ b/src/wallet/coinselection.h
@@ -1,20 +1,24 @@
-// Copyright (c) 2017-2019 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_COINSELECTION_H
#define BITCOIN_WALLET_COINSELECTION_H
-#include <amount.h>
+#include <consensus/amount.h>
#include <policy/feerate.h>
#include <primitives/transaction.h>
#include <random.h>
+#include <optional>
+
+namespace wallet {
//! target minimum change amount
static constexpr CAmount MIN_CHANGE{COIN / 100};
//! final minimum change amount after paying for fees
static const CAmount MIN_FINAL_CHANGE = MIN_CHANGE/2;
+/** A UTXO under consideration for use in funding a new transaction. */
class CInputCoin {
public:
CInputCoin(const CTransactionRef& tx, unsigned int i)
@@ -34,6 +38,18 @@ public:
m_input_bytes = input_bytes;
}
+ CInputCoin(const COutPoint& outpoint_in, const CTxOut& txout_in)
+ {
+ outpoint = outpoint_in;
+ txout = txout_in;
+ effective_value = txout.nValue;
+ }
+
+ CInputCoin(const COutPoint& outpoint_in, const CTxOut& txout_in, int input_bytes) : CInputCoin(outpoint_in, txout_in)
+ {
+ m_input_bytes = input_bytes;
+ }
+
COutPoint outpoint;
CTxOut txout;
CAmount effective_value;
@@ -56,46 +72,184 @@ public:
}
};
+/** Parameters for one iteration of Coin Selection. */
+struct CoinSelectionParams
+{
+ /** Size of a change output in bytes, determined by the output type. */
+ size_t change_output_size = 0;
+ /** Size of the input to spend a change output in virtual bytes. */
+ size_t change_spend_size = 0;
+ /** Cost of creating the change output. */
+ CAmount m_change_fee{0};
+ /** Cost of creating the change output + cost of spending the change output in the future. */
+ CAmount m_cost_of_change{0};
+ /** The targeted feerate of the transaction being built. */
+ CFeeRate m_effective_feerate;
+ /** The feerate estimate used to estimate an upper bound on what should be sufficient to spend
+ * the change output sometime in the future. */
+ CFeeRate m_long_term_feerate;
+ /** If the cost to spend a change output at the discard feerate exceeds its value, drop it to fees. */
+ CFeeRate m_discard_feerate;
+ /** Size of the transaction before coin selection, consisting of the header and recipient
+ * output(s), excluding the inputs and change output(s). */
+ size_t tx_noinputs_size = 0;
+ /** Indicate that we are subtracting the fee from outputs */
+ bool m_subtract_fee_outputs = false;
+ /** When true, always spend all (up to OUTPUT_GROUP_MAX_ENTRIES) or none of the outputs
+ * associated with the same address. This helps reduce privacy leaks resulting from address
+ * reuse. Dust outputs are not eligible to be added to output groups and thus not considered. */
+ bool m_avoid_partial_spends = false;
+
+ CoinSelectionParams(size_t change_output_size, size_t change_spend_size, CFeeRate effective_feerate,
+ CFeeRate long_term_feerate, CFeeRate discard_feerate, size_t tx_noinputs_size, bool avoid_partial) :
+ change_output_size(change_output_size),
+ change_spend_size(change_spend_size),
+ m_effective_feerate(effective_feerate),
+ m_long_term_feerate(long_term_feerate),
+ m_discard_feerate(discard_feerate),
+ tx_noinputs_size(tx_noinputs_size),
+ m_avoid_partial_spends(avoid_partial)
+ {}
+ CoinSelectionParams() {}
+};
+
+/** Parameters for filtering which OutputGroups we may use in coin selection.
+ * We start by being very selective and requiring multiple confirmations and
+ * then get more permissive if we cannot fund the transaction. */
struct CoinEligibilityFilter
{
+ /** Minimum number of confirmations for outputs that we sent to ourselves.
+ * We may use unconfirmed UTXOs sent from ourselves, e.g. change outputs. */
const int conf_mine;
+ /** Minimum number of confirmations for outputs received from a different wallet. */
const int conf_theirs;
+ /** Maximum number of unconfirmed ancestors aggregated across all UTXOs in an OutputGroup. */
const uint64_t max_ancestors;
+ /** Maximum number of descendants that a single UTXO in the OutputGroup may have. */
const uint64_t max_descendants;
- const bool m_include_partial_groups{false}; //! Include partial destination groups when avoid_reuse and there are full groups
+ /** When avoid_reuse=true and there are full groups (OUTPUT_GROUP_MAX_ENTRIES), whether or not to use any partial groups.*/
+ const bool m_include_partial_groups{false};
CoinEligibilityFilter(int conf_mine, int conf_theirs, uint64_t max_ancestors) : conf_mine(conf_mine), conf_theirs(conf_theirs), max_ancestors(max_ancestors), max_descendants(max_ancestors) {}
CoinEligibilityFilter(int conf_mine, int conf_theirs, uint64_t max_ancestors, uint64_t max_descendants) : conf_mine(conf_mine), conf_theirs(conf_theirs), max_ancestors(max_ancestors), max_descendants(max_descendants) {}
CoinEligibilityFilter(int conf_mine, int conf_theirs, uint64_t max_ancestors, uint64_t max_descendants, bool include_partial) : conf_mine(conf_mine), conf_theirs(conf_theirs), max_ancestors(max_ancestors), max_descendants(max_descendants), m_include_partial_groups(include_partial) {}
};
+/** A group of UTXOs paid to the same output script. */
struct OutputGroup
{
+ /** The list of UTXOs contained in this output group. */
std::vector<CInputCoin> m_outputs;
+ /** Whether the UTXOs were sent by the wallet to itself. This is relevant because we may want at
+ * least a certain number of confirmations on UTXOs received from outside wallets while trusting
+ * our own UTXOs more. */
bool m_from_me{true};
+ /** The total value of the UTXOs in sum. */
CAmount m_value{0};
+ /** The minimum number of confirmations the UTXOs in the group have. Unconfirmed is 0. */
int m_depth{999};
+ /** The aggregated count of unconfirmed ancestors of all UTXOs in this
+ * group. Not deduplicated and may overestimate when ancestors are shared. */
size_t m_ancestors{0};
+ /** The maximum count of descendants of a single UTXO in this output group. */
size_t m_descendants{0};
+ /** The value of the UTXOs after deducting the cost of spending them at the effective feerate. */
CAmount effective_value{0};
+ /** The fee to spend these UTXOs at the effective feerate. */
CAmount fee{0};
+ /** The target feerate of the transaction we're trying to build. */
CFeeRate m_effective_feerate{0};
+ /** The fee to spend these UTXOs at the long term feerate. */
CAmount long_term_fee{0};
+ /** The feerate for spending a created change output eventually (i.e. not urgently, and thus at
+ * a lower feerate). Calculated using long term fee estimate. This is used to decide whether
+ * it could be economical to create a change output. */
CFeeRate m_long_term_feerate{0};
+ /** Indicate that we are subtracting the fee from outputs.
+ * When true, the value that is used for coin selection is the UTXO's real value rather than effective value */
+ bool m_subtract_fee_outputs{false};
OutputGroup() {}
- OutputGroup(const CFeeRate& effective_feerate, const CFeeRate& long_term_feerate) :
- m_effective_feerate(effective_feerate),
- m_long_term_feerate(long_term_feerate)
+ OutputGroup(const CoinSelectionParams& params) :
+ m_effective_feerate(params.m_effective_feerate),
+ m_long_term_feerate(params.m_long_term_feerate),
+ m_subtract_fee_outputs(params.m_subtract_fee_outputs)
{}
void Insert(const CInputCoin& output, int depth, bool from_me, size_t ancestors, size_t descendants, bool positive_only);
bool EligibleForSpending(const CoinEligibilityFilter& eligibility_filter) const;
+ CAmount GetSelectionAmount() const;
+};
+
+/** Compute the waste for this result given the cost of change
+ * and the opportunity cost of spending these inputs now vs in the future.
+ * If change exists, waste = change_cost + inputs * (effective_feerate - long_term_feerate)
+ * If no change, waste = excess + inputs * (effective_feerate - long_term_feerate)
+ * where excess = selected_effective_value - target
+ * change_cost = effective_feerate * change_output_size + long_term_feerate * change_spend_size
+ *
+ * Note this function is separate from SelectionResult for the tests.
+ *
+ * @param[in] inputs The selected inputs
+ * @param[in] change_cost The cost of creating change and spending it in the future.
+ * Only used if there is change, in which case it must be positive.
+ * Must be 0 if there is no change.
+ * @param[in] target The amount targeted by the coin selection algorithm.
+ * @param[in] use_effective_value Whether to use the input's effective value (when true) or the real value (when false).
+ * @return The waste
+ */
+[[nodiscard]] CAmount GetSelectionWaste(const std::set<CInputCoin>& inputs, CAmount change_cost, CAmount target, bool use_effective_value = true);
+
+struct SelectionResult
+{
+private:
+ /** Set of inputs selected by the algorithm to use in the transaction */
+ std::set<CInputCoin> m_selected_inputs;
+ /** The target the algorithm selected for. Note that this may not be equal to the recipient amount as it can include non-input fees */
+ const CAmount m_target;
+ /** Whether the input values for calculations should be the effective value (true) or normal value (false) */
+ bool m_use_effective{false};
+ /** The computed waste */
+ std::optional<CAmount> m_waste;
+
+public:
+ explicit SelectionResult(const CAmount target)
+ : m_target(target) {}
+
+ SelectionResult() = delete;
+
+ /** Get the sum of the input values */
+ [[nodiscard]] CAmount GetSelectedValue() const;
+
+ void Clear();
+
+ void AddInput(const OutputGroup& group);
+
+ /** Calculates and stores the waste for this selection via GetSelectionWaste */
+ void ComputeAndSetWaste(CAmount change_cost);
+ [[nodiscard]] CAmount GetWaste() const;
+
+ /** Get m_selected_inputs */
+ const std::set<CInputCoin>& GetInputSet() const;
+ /** Get the vector of CInputCoins that will be used to fill in a CTransaction's vin */
+ std::vector<CInputCoin> GetShuffledInputVector() const;
+
+ bool operator<(SelectionResult other) const;
};
-bool SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& target_value, const CAmount& cost_of_change, std::set<CInputCoin>& out_set, CAmount& value_ret, CAmount not_input_fees);
+std::optional<SelectionResult> SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool, const CAmount& selection_target, const CAmount& cost_of_change);
+
+/** Select coins by Single Random Draw. OutputGroups are selected randomly from the eligible
+ * outputs until the target is satisfied
+ *
+ * @param[in] utxo_pool The positive effective value OutputGroups eligible for selection
+ * @param[in] target_value The target value to select for
+ * @returns If successful, a SelectionResult, otherwise, std::nullopt
+ */
+std::optional<SelectionResult> SelectCoinsSRD(const std::vector<OutputGroup>& utxo_pool, CAmount target_value);
// Original coin selection algorithm as a fallback
-bool KnapsackSolver(const CAmount& nTargetValue, std::vector<OutputGroup>& groups, std::set<CInputCoin>& setCoinsRet, CAmount& nValueRet);
+std::optional<SelectionResult> KnapsackSolver(std::vector<OutputGroup>& groups, const CAmount& nTargetValue);
+} // namespace wallet
#endif // BITCOIN_WALLET_COINSELECTION_H
diff --git a/src/wallet/context.cpp b/src/wallet/context.cpp
index 09b2f30467..800aa5bf9c 100644
--- a/src/wallet/context.cpp
+++ b/src/wallet/context.cpp
@@ -4,5 +4,7 @@
#include <wallet/context.h>
+namespace wallet {
WalletContext::WalletContext() {}
WalletContext::~WalletContext() {}
+} // namespace wallet
diff --git a/src/wallet/context.h b/src/wallet/context.h
index a83591154f..57a6ed77f7 100644
--- a/src/wallet/context.h
+++ b/src/wallet/context.h
@@ -1,15 +1,27 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_CONTEXT_H
#define BITCOIN_WALLET_CONTEXT_H
+#include <sync.h>
+
+#include <functional>
+#include <list>
+#include <memory>
+#include <vector>
+
class ArgsManager;
namespace interfaces {
class Chain;
+class Wallet;
} // namespace interfaces
+namespace wallet {
+class CWallet;
+using LoadWalletFn = std::function<void(std::unique_ptr<interfaces::Wallet> wallet)>;
+
//! WalletContext struct containing references to state shared between CWallet
//! instances, like the reference to the chain interface, and the list of opened
//! wallets.
@@ -22,7 +34,12 @@ class Chain;
//! behavior.
struct WalletContext {
interfaces::Chain* chain{nullptr};
- ArgsManager* args{nullptr};
+ ArgsManager* args{nullptr}; // Currently a raw pointer because the memory is not managed by this struct
+ // It is unsafe to lock this after locking a CWallet::cs_wallet mutex because
+ // this could introduce inconsistent lock ordering and cause deadlocks.
+ Mutex wallets_mutex;
+ std::vector<std::shared_ptr<CWallet>> wallets GUARDED_BY(wallets_mutex);
+ std::list<LoadWalletFn> wallet_load_fns GUARDED_BY(wallets_mutex);
//! Declare default constructor and destructor that are not inline, so code
//! instantiating the WalletContext struct doesn't need to #include class
@@ -30,5 +47,6 @@ struct WalletContext {
WalletContext();
~WalletContext();
};
+} // namespace wallet
#endif // BITCOIN_WALLET_CONTEXT_H
diff --git a/src/wallet/crypter.cpp b/src/wallet/crypter.cpp
index b50f00e7d1..cd414b3d44 100644
--- a/src/wallet/crypter.cpp
+++ b/src/wallet/crypter.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,7 @@
#include <vector>
+namespace wallet {
int CCrypter::BytesToKeySHA512AES(const std::vector<unsigned char>& chSalt, const SecureString& strKeyData, int count, unsigned char *key,unsigned char *iv) const
{
// This mimics the behavior of openssl's EVP_BytesToKey with an aes256cbc
@@ -78,7 +79,7 @@ bool CCrypter::Encrypt(const CKeyingMaterial& vchPlaintext, std::vector<unsigned
vchCiphertext.resize(vchPlaintext.size() + AES_BLOCKSIZE);
AES256CBCEncrypt enc(vchKey.data(), vchIV.data(), true);
- size_t nLen = enc.Encrypt(&vchPlaintext[0], vchPlaintext.size(), vchCiphertext.data());
+ size_t nLen = enc.Encrypt(vchPlaintext.data(), vchPlaintext.size(), vchCiphertext.data());
if(nLen < vchPlaintext.size())
return false;
vchCiphertext.resize(nLen);
@@ -97,7 +98,7 @@ bool CCrypter::Decrypt(const std::vector<unsigned char>& vchCiphertext, CKeyingM
vchPlaintext.resize(nLen);
AES256CBCDecrypt dec(vchKey.data(), vchIV.data(), true);
- nLen = dec.Decrypt(vchCiphertext.data(), vchCiphertext.size(), &vchPlaintext[0]);
+ nLen = dec.Decrypt(vchCiphertext.data(), vchCiphertext.size(), vchPlaintext.data());
if(nLen == 0)
return false;
vchPlaintext.resize(nLen);
@@ -121,7 +122,7 @@ bool DecryptSecret(const CKeyingMaterial& vMasterKey, const std::vector<unsigned
memcpy(chIV.data(), &nIV, WALLET_CRYPTO_IV_SIZE);
if(!cKeyCrypter.SetKey(vMasterKey, chIV))
return false;
- return cKeyCrypter.Decrypt(vchCiphertext, *((CKeyingMaterial*)&vchPlaintext));
+ return cKeyCrypter.Decrypt(vchCiphertext, vchPlaintext);
}
bool DecryptKey(const CKeyingMaterial& vMasterKey, const std::vector<unsigned char>& vchCryptedSecret, const CPubKey& vchPubKey, CKey& key)
@@ -136,3 +137,4 @@ bool DecryptKey(const CKeyingMaterial& vMasterKey, const std::vector<unsigned ch
key.Set(vchSecret.begin(), vchSecret.end(), vchPubKey.IsCompressed());
return key.VerifyPubKey(vchPubKey);
}
+} // namespace wallet
diff --git a/src/wallet/crypter.h b/src/wallet/crypter.h
index f7325541a9..4d325c7557 100644
--- a/src/wallet/crypter.h
+++ b/src/wallet/crypter.h
@@ -10,6 +10,7 @@
#include <script/signingprovider.h>
+namespace wallet {
const unsigned int WALLET_CRYPTO_KEY_SIZE = 32;
const unsigned int WALLET_CRYPTO_SALT_SIZE = 8;
const unsigned int WALLET_CRYPTO_IV_SIZE = 16;
@@ -105,5 +106,6 @@ public:
bool EncryptSecret(const CKeyingMaterial& vMasterKey, const CKeyingMaterial &vchPlaintext, const uint256& nIV, std::vector<unsigned char> &vchCiphertext);
bool DecryptSecret(const CKeyingMaterial& vMasterKey, const std::vector<unsigned char>& vchCiphertext, const uint256& nIV, CKeyingMaterial& vchPlaintext);
bool DecryptKey(const CKeyingMaterial& vMasterKey, const std::vector<unsigned char>& vchCryptedSecret, const CPubKey& vchPubKey, CKey& key);
+} // namespace wallet
#endif // BITCOIN_WALLET_CRYPTER_H
diff --git a/src/wallet/db.cpp b/src/wallet/db.cpp
index cd49baeb78..0ed2658129 100644
--- a/src/wallet/db.cpp
+++ b/src/wallet/db.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,30 +8,37 @@
#include <logging.h>
#include <wallet/db.h>
+#include <exception>
+#include <fstream>
#include <string>
+#include <system_error>
+#include <vector>
+namespace wallet {
std::vector<fs::path> ListDatabases(const fs::path& wallet_dir)
{
- const size_t offset = wallet_dir.string().size() + 1;
std::vector<fs::path> paths;
- boost::system::error_code ec;
+ std::error_code ec;
for (auto it = fs::recursive_directory_iterator(wallet_dir, ec); it != fs::recursive_directory_iterator(); it.increment(ec)) {
if (ec) {
- LogPrintf("%s: %s %s\n", __func__, ec.message(), it->path().string());
+ if (fs::is_directory(*it)) {
+ it.disable_recursion_pending();
+ LogPrintf("%s: %s %s -- skipping.\n", __func__, ec.message(), fs::PathToString(it->path()));
+ } else {
+ LogPrintf("%s: %s %s\n", __func__, ec.message(), fs::PathToString(it->path()));
+ }
continue;
}
try {
- // Get wallet path relative to walletdir by removing walletdir from the wallet path.
- // This can be replaced by boost::filesystem::lexically_relative once boost is bumped to 1.60.
- const fs::path path = it->path().string().substr(offset);
+ const fs::path path{it->path().lexically_relative(wallet_dir)};
- if (it->status().type() == fs::directory_file &&
+ if (it->status().type() == fs::file_type::directory &&
(IsBDBFile(BDBDataFile(it->path())) || IsSQLiteFile(SQLiteDataFile(it->path())))) {
// Found a directory which contains wallet.dat btree file, add it as a wallet.
paths.emplace_back(path);
- } else if (it.level() == 0 && it->symlink_status().type() == fs::regular_file && IsBDBFile(it->path())) {
+ } else if (it.depth() == 0 && it->symlink_status().type() == fs::file_type::regular && IsBDBFile(it->path())) {
if (it->path().filename() == "wallet.dat") {
// Found top-level wallet.dat btree file, add top level directory ""
// as a wallet.
@@ -45,8 +52,8 @@ std::vector<fs::path> ListDatabases(const fs::path& wallet_dir)
}
}
} catch (const std::exception& e) {
- LogPrintf("%s: Error scanning %s: %s\n", __func__, it->path().string(), e.what());
- it.no_push();
+ LogPrintf("%s: Error scanning %s: %s\n", __func__, fs::PathToString(it->path()), e.what());
+ it.disable_recursion_pending();
}
}
@@ -78,12 +85,12 @@ bool IsBDBFile(const fs::path& path)
// A Berkeley DB Btree file has at least 4K.
// This check also prevents opening lock files.
- boost::system::error_code ec;
+ std::error_code ec;
auto size = fs::file_size(path, ec);
- if (ec) LogPrintf("%s: %s %s\n", __func__, ec.message(), path.string());
+ if (ec) LogPrintf("%s: %s %s\n", __func__, ec.message(), fs::PathToString(path));
if (size < 4096) return false;
- fsbridge::ifstream file(path, std::ios::binary);
+ std::ifstream file{path, std::ios::binary};
if (!file.is_open()) return false;
file.seekg(12, std::ios::beg); // Magic bytes start at offset 12
@@ -102,12 +109,12 @@ bool IsSQLiteFile(const fs::path& path)
if (!fs::exists(path)) return false;
// A SQLite Database file is at least 512 bytes.
- boost::system::error_code ec;
+ std::error_code ec;
auto size = fs::file_size(path, ec);
- if (ec) LogPrintf("%s: %s %s\n", __func__, ec.message(), path.string());
+ if (ec) LogPrintf("%s: %s %s\n", __func__, ec.message(), fs::PathToString(path));
if (size < 512) return false;
- fsbridge::ifstream file(path, std::ios::binary);
+ std::ifstream file{path, std::ios::binary};
if (!file.is_open()) return false;
// Magic is at beginning and is 16 bytes long
@@ -130,3 +137,4 @@ bool IsSQLiteFile(const fs::path& path)
// Check the application id matches our network magic
return memcmp(Params().MessageStart(), app_id, 4) == 0;
}
+} // namespace wallet
diff --git a/src/wallet/db.h b/src/wallet/db.h
index 2c75486a44..5825b00e3a 100644
--- a/src/wallet/db.h
+++ b/src/wallet/db.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,17 +8,17 @@
#include <clientversion.h>
#include <fs.h>
-#include <optional.h>
#include <streams.h>
#include <support/allocators/secure.h>
-#include <util/memory.h>
#include <atomic>
#include <memory>
+#include <optional>
#include <string>
struct bilingual_str;
+namespace wallet {
void SplitWalletPath(const fs::path& wallet_path, fs::path& env_directory, std::string& database_filename);
/** RAII class that provides access to a WalletDatabase */
@@ -193,7 +193,7 @@ public:
void ReloadDbEnv() override {}
std::string Filename() override { return "dummy"; }
std::string Format() override { return "dummy"; }
- std::unique_ptr<DatabaseBatch> MakeBatch(bool flush_on_close = true) override { return MakeUnique<DummyBatch>(); }
+ std::unique_ptr<DatabaseBatch> MakeBatch(bool flush_on_close = true) override { return std::make_unique<DummyBatch>(); }
};
enum class DatabaseFormat {
@@ -204,7 +204,7 @@ enum class DatabaseFormat {
struct DatabaseOptions {
bool require_existing = false;
bool require_create = false;
- Optional<DatabaseFormat> require_format;
+ std::optional<DatabaseFormat> require_format;
uint64_t create_flags = 0;
SecureString create_passphrase;
bool verify = true;
@@ -221,6 +221,7 @@ enum class DatabaseStatus {
FAILED_LOAD,
FAILED_VERIFY,
FAILED_ENCRYPT,
+ FAILED_INVALID_BACKUP_FILE,
};
/** Recursively list database paths in directory. */
@@ -232,5 +233,6 @@ fs::path BDBDataFile(const fs::path& path);
fs::path SQLiteDataFile(const fs::path& path);
bool IsBDBFile(const fs::path& path);
bool IsSQLiteFile(const fs::path& path);
+} // namespace wallet
#endif // BITCOIN_WALLET_DB_H
diff --git a/src/wallet/dump.cpp b/src/wallet/dump.cpp
index e314107988..6d8508fc72 100644
--- a/src/wallet/dump.cpp
+++ b/src/wallet/dump.cpp
@@ -1,12 +1,21 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <wallet/dump.h>
+#include <fs.h>
#include <util/translation.h>
#include <wallet/wallet.h>
+#include <algorithm>
+#include <fstream>
+#include <memory>
+#include <string>
+#include <utility>
+#include <vector>
+
+namespace wallet {
static const std::string DUMP_MAGIC = "BITCOIN_CORE_WALLET_DUMP";
uint32_t DUMP_VERSION = 1;
@@ -19,16 +28,16 @@ bool DumpWallet(CWallet& wallet, bilingual_str& error)
return false;
}
- fs::path path = dump_filename;
+ fs::path path = fs::PathFromString(dump_filename);
path = fs::absolute(path);
if (fs::exists(path)) {
- error = strprintf(_("File %s already exists. If you are sure this is what you want, move it out of the way first."), path.string());
+ error = strprintf(_("File %s already exists. If you are sure this is what you want, move it out of the way first."), fs::PathToString(path));
return false;
}
- fsbridge::ofstream dump_file;
+ std::ofstream dump_file;
dump_file.open(path);
if (dump_file.fail()) {
- error = strprintf(_("Unable to open %s for writing"), path.string());
+ error = strprintf(_("Unable to open %s for writing"), fs::PathToString(path));
return false;
}
@@ -46,12 +55,12 @@ bool DumpWallet(CWallet& wallet, bilingual_str& error)
// Write out a magic string with version
std::string line = strprintf("%s,%u\n", DUMP_MAGIC, DUMP_VERSION);
dump_file.write(line.data(), line.size());
- hasher.write(line.data(), line.size());
+ hasher.write(MakeByteSpan(line));
// Write out the file format
line = strprintf("%s,%s\n", "format", db.Format());
dump_file.write(line.data(), line.size());
- hasher.write(line.data(), line.size());
+ hasher.write(MakeByteSpan(line));
if (ret) {
@@ -72,7 +81,7 @@ bool DumpWallet(CWallet& wallet, bilingual_str& error)
std::string value_str = HexStr(ss_value);
line = strprintf("%s,%s\n", key_str, value_str);
dump_file.write(line.data(), line.size());
- hasher.write(line.data(), line.size());
+ hasher.write(MakeByteSpan(line));
}
}
@@ -114,13 +123,13 @@ bool CreateFromDump(const std::string& name, const fs::path& wallet_path, biling
return false;
}
- fs::path dump_path = dump_filename;
+ fs::path dump_path = fs::PathFromString(dump_filename);
dump_path = fs::absolute(dump_path);
if (!fs::exists(dump_path)) {
- error = strprintf(_("Dump file %s does not exist."), dump_path.string());
+ error = strprintf(_("Dump file %s does not exist."), fs::PathToString(dump_path));
return false;
}
- fsbridge::ifstream dump_file(dump_path);
+ std::ifstream dump_file{dump_path};
// Compute the checksum
CHashWriter hasher(0, 0);
@@ -149,7 +158,7 @@ bool CreateFromDump(const std::string& name, const fs::path& wallet_path, biling
return false;
}
std::string magic_hasher_line = strprintf("%s,%s\n", magic_key, version_value);
- hasher.write(magic_hasher_line.data(), magic_hasher_line.size());
+ hasher.write(MakeByteSpan(magic_hasher_line));
// Get the stored file format
std::string format_key;
@@ -180,7 +189,7 @@ bool CreateFromDump(const std::string& name, const fs::path& wallet_path, biling
warnings.push_back(strprintf(_("Warning: Dumpfile wallet format \"%s\" does not match command line specified format \"%s\"."), format_value, file_format));
}
std::string format_hasher_line = strprintf("%s,%s\n", format_key, format_value);
- hasher.write(format_hasher_line.data(), format_hasher_line.size());
+ hasher.write(MakeByteSpan(format_hasher_line));
DatabaseOptions options;
DatabaseStatus status;
@@ -191,11 +200,10 @@ bool CreateFromDump(const std::string& name, const fs::path& wallet_path, biling
// dummy chain interface
bool ret = true;
- std::shared_ptr<CWallet> wallet(new CWallet(nullptr /* chain */, name, std::move(database)), WalletToolReleaseWallet);
+ std::shared_ptr<CWallet> wallet(new CWallet(nullptr /* chain */, name, gArgs, std::move(database)), WalletToolReleaseWallet);
{
LOCK(wallet->cs_wallet);
- bool first_run = true;
- DBErrors load_wallet_ret = wallet->LoadWallet(first_run);
+ DBErrors load_wallet_ret = wallet->LoadWallet();
if (load_wallet_ret != DBErrors::LOAD_OK) {
error = strprintf(_("Error creating %s"), name);
return false;
@@ -215,12 +223,17 @@ bool CreateFromDump(const std::string& name, const fs::path& wallet_path, biling
if (key == "checksum") {
std::vector<unsigned char> parsed_checksum = ParseHex(value);
+ if (parsed_checksum.size() != checksum.size()) {
+ error = Untranslated("Error: Checksum is not the correct size");
+ ret = false;
+ break;
+ }
std::copy(parsed_checksum.begin(), parsed_checksum.end(), checksum.begin());
break;
}
std::string line = strprintf("%s,%s\n", key, value);
- hasher.write(line.data(), line.size());
+ hasher.write(MakeByteSpan(line));
if (key.empty() || value.empty()) {
continue;
@@ -280,3 +293,4 @@ bool CreateFromDump(const std::string& name, const fs::path& wallet_path, biling
return ret;
}
+} // namespace wallet
diff --git a/src/wallet/dump.h b/src/wallet/dump.h
index d0a4f5ef1d..a879c4db35 100644
--- a/src/wallet/dump.h
+++ b/src/wallet/dump.h
@@ -7,11 +7,15 @@
#include <fs.h>
-class CWallet;
+#include <string>
+#include <vector>
struct bilingual_str;
+namespace wallet {
+class CWallet;
bool DumpWallet(CWallet& wallet, bilingual_str& error);
bool CreateFromDump(const std::string& name, const fs::path& wallet_path, bilingual_str& error, std::vector<bilingual_str>& warnings);
+} // namespace wallet
#endif // BITCOIN_WALLET_DUMP_H
diff --git a/src/wallet/external_signer_scriptpubkeyman.cpp b/src/wallet/external_signer_scriptpubkeyman.cpp
index a2071e521a..9d5f58b784 100644
--- a/src/wallet/external_signer_scriptpubkeyman.cpp
+++ b/src/wallet/external_signer_scriptpubkeyman.cpp
@@ -1,13 +1,19 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chainparams.h>
-#include <wallet/external_signer.h>
+#include <external_signer.h>
#include <wallet/external_signer_scriptpubkeyman.h>
-#ifdef ENABLE_EXTERNAL_SIGNER
+#include <iostream>
+#include <memory>
+#include <stdexcept>
+#include <string>
+#include <utility>
+#include <vector>
+namespace wallet {
bool ExternalSignerScriptPubKeyMan::SetupDescriptor(std::unique_ptr<Descriptor> desc)
{
LOCK(cs_desc_man);
@@ -55,10 +61,10 @@ bool ExternalSignerScriptPubKeyMan::DisplayAddress(const CScript scriptPubKey, c
}
// If sign is true, transaction must previously have been filled
-TransactionError ExternalSignerScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psbt, int sighash_type, bool sign, bool bip32derivs, int* n_signed) const
+TransactionError ExternalSignerScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psbt, const PrecomputedTransactionData& txdata, int sighash_type, bool sign, bool bip32derivs, int* n_signed, bool finalize) const
{
if (!sign) {
- return DescriptorScriptPubKeyMan::FillPSBT(psbt, sighash_type, false, bip32derivs, n_signed);
+ return DescriptorScriptPubKeyMan::FillPSBT(psbt, txdata, sighash_type, false, bip32derivs, n_signed, finalize);
}
// Already complete if every input is now signed
@@ -74,8 +80,7 @@ TransactionError ExternalSignerScriptPubKeyMan::FillPSBT(PartiallySignedTransact
tfm::format(std::cerr, "Failed to sign: %s\n", strFailReason);
return TransactionError::EXTERNAL_SIGNER_FAILED;
}
- FinalizePSBT(psbt); // This won't work in a multisig setup
+ if (finalize) FinalizePSBT(psbt); // This won't work in a multisig setup
return TransactionError::OK;
}
-
-#endif
+} // namespace wallet
diff --git a/src/wallet/external_signer_scriptpubkeyman.h b/src/wallet/external_signer_scriptpubkeyman.h
index e60d7b8004..9918979a81 100644
--- a/src/wallet/external_signer_scriptpubkeyman.h
+++ b/src/wallet/external_signer_scriptpubkeyman.h
@@ -1,21 +1,23 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_EXTERNAL_SIGNER_SCRIPTPUBKEYMAN_H
#define BITCOIN_WALLET_EXTERNAL_SIGNER_SCRIPTPUBKEYMAN_H
-#ifdef ENABLE_EXTERNAL_SIGNER
#include <wallet/scriptpubkeyman.h>
+#include <memory>
+
+namespace wallet {
class ExternalSignerScriptPubKeyMan : public DescriptorScriptPubKeyMan
{
public:
ExternalSignerScriptPubKeyMan(WalletStorage& storage, WalletDescriptor& descriptor)
: DescriptorScriptPubKeyMan(storage, descriptor)
{}
- ExternalSignerScriptPubKeyMan(WalletStorage& storage, bool internal)
- : DescriptorScriptPubKeyMan(storage, internal)
+ ExternalSignerScriptPubKeyMan(WalletStorage& storage)
+ : DescriptorScriptPubKeyMan(storage)
{}
/** Provide a descriptor at setup time
@@ -27,8 +29,7 @@ class ExternalSignerScriptPubKeyMan : public DescriptorScriptPubKeyMan
bool DisplayAddress(const CScript scriptPubKey, const ExternalSigner &signer) const;
- TransactionError FillPSBT(PartiallySignedTransaction& psbt, int sighash_type = 1 /* SIGHASH_ALL */, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr) const override;
+ TransactionError FillPSBT(PartiallySignedTransaction& psbt, const PrecomputedTransactionData& txdata, int sighash_type = 1 /* SIGHASH_ALL */, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr, bool finalize = true) const override;
};
-#endif
-
+} // namespace wallet
#endif // BITCOIN_WALLET_EXTERNAL_SIGNER_SCRIPTPUBKEYMAN_H
diff --git a/src/wallet/feebumper.cpp b/src/wallet/feebumper.cpp
index 5e319d4f95..3552c14160 100644
--- a/src/wallet/feebumper.cpp
+++ b/src/wallet/feebumper.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -12,8 +12,11 @@
#include <wallet/coincontrol.h>
#include <wallet/feebumper.h>
#include <wallet/fees.h>
+#include <wallet/receive.h>
+#include <wallet/spend.h>
#include <wallet/wallet.h>
+namespace wallet {
//! Check whether transaction has descendant in wallet or mempool, or has been
//! mined, or conflicts with a mined transaction. Return a feebumper::Result.
static feebumper::Result PreconditionChecks(const CWallet& wallet, const CWalletTx& wtx, std::vector<bilingual_str>& errors) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
@@ -30,7 +33,7 @@ static feebumper::Result PreconditionChecks(const CWallet& wallet, const CWallet
}
}
- if (wtx.GetDepthInMainChain() != 0) {
+ if (wallet.GetTxDepthInMainChain(wtx) != 0) {
errors.push_back(Untranslated("Transaction has been mined, or is conflicted with a mined transaction"));
return feebumper::Result::WALLET_ERROR;
}
@@ -48,7 +51,7 @@ static feebumper::Result PreconditionChecks(const CWallet& wallet, const CWallet
// check that original tx consists entirely of our inputs
// if not, we can't bump the fee, because the wallet has no way of knowing the value of the other inputs (thus the fee)
isminefilter filter = wallet.GetLegacyScriptPubKeyMan() && wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) ? ISMINE_WATCH_ONLY : ISMINE_SPENDABLE;
- if (!wallet.IsAllFromMe(*wtx.tx, filter)) {
+ if (!AllInputsMine(wallet, *wtx.tx, filter)) {
errors.push_back(Untranslated("Transaction contains inputs that don't belong to this wallet"));
return feebumper::Result::WALLET_ERROR;
}
@@ -81,7 +84,7 @@ static feebumper::Result CheckFeeRate(const CWallet& wallet, const CWalletTx& wt
// Given old total fee and transaction size, calculate the old feeRate
isminefilter filter = wallet.GetLegacyScriptPubKeyMan() && wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) ? ISMINE_WATCH_ONLY : ISMINE_SPENDABLE;
- CAmount old_fee = wtx.GetDebit(filter) - wtx.tx->GetValueOut();
+ CAmount old_fee = CachedTxGetDebit(wallet, wtx, filter) - wtx.tx->GetValueOut();
const int64_t txSize = GetVirtualTransactionSize(*(wtx.tx));
CFeeRate nOldFeeRate(old_fee, txSize);
// Min total fee is old fee + relay fee
@@ -174,7 +177,7 @@ Result CreateRateBumpTransaction(CWallet& wallet, const uint256& txid, const CCo
// Fill in recipients(and preserve a single change key if there is one)
std::vector<CRecipient> recipients;
for (const auto& output : wtx.tx->vout) {
- if (!wallet.IsChange(output)) {
+ if (!OutputIsChange(wallet, output)) {
CRecipient recipient = {output.scriptPubKey, output.nValue, false};
recipients.push_back(recipient);
} else {
@@ -185,12 +188,12 @@ Result CreateRateBumpTransaction(CWallet& wallet, const uint256& txid, const CCo
}
isminefilter filter = wallet.GetLegacyScriptPubKeyMan() && wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) ? ISMINE_WATCH_ONLY : ISMINE_SPENDABLE;
- old_fee = wtx.GetDebit(filter) - wtx.tx->GetValueOut();
+ old_fee = CachedTxGetDebit(wallet, wtx, filter) - wtx.tx->GetValueOut();
if (coin_control.m_feerate) {
// The user provided a feeRate argument.
// We calculate this here to avoid compiler warning on the cs_wallet lock
- const int64_t maxTxSize = CalculateMaximumSignedTxSize(*wtx.tx, &wallet);
+ const int64_t maxTxSize{CalculateMaximumSignedTxSize(*wtx.tx, &wallet).vsize};
Result res = CheckFeeRate(wallet, wtx, *new_coin_control.m_feerate, maxTxSize, errors);
if (res != Result::OK) {
return res;
@@ -220,7 +223,7 @@ Result CreateRateBumpTransaction(CWallet& wallet, const uint256& txid, const CCo
int change_pos_in_out = -1; // No requested location for change
bilingual_str fail_reason;
FeeCalculation fee_calc_out;
- if (!wallet.CreateTransaction(recipients, tx_new, fee_ret, change_pos_in_out, fail_reason, new_coin_control, fee_calc_out, false)) {
+ if (!CreateTransaction(wallet, recipients, tx_new, fee_ret, change_pos_in_out, fail_reason, new_coin_control, fee_calc_out, false)) {
errors.push_back(Untranslated("Unable to create transaction.") + Untranslated(" ") + fail_reason);
return Result::WALLET_ERROR;
}
@@ -274,13 +277,10 @@ Result CommitTransaction(CWallet& wallet, const uint256& txid, CMutableTransacti
// mark the original tx as bumped
bumped_txid = tx->GetHash();
if (!wallet.MarkReplaced(oldWtx.GetHash(), bumped_txid)) {
- // TODO: see if JSON-RPC has a standard way of returning a response
- // along with an exception. It would be good to return information about
- // wtxBumped to the caller even if marking the original transaction
- // replaced does not succeed for some reason.
errors.push_back(Untranslated("Created new bumpfee transaction but could not mark the original transaction as replaced"));
}
return Result::OK;
}
} // namespace feebumper
+} // namespace wallet
diff --git a/src/wallet/feebumper.h b/src/wallet/feebumper.h
index 50577c9d3e..191878a137 100644
--- a/src/wallet/feebumper.h
+++ b/src/wallet/feebumper.h
@@ -7,13 +7,15 @@
#include <primitives/transaction.h>
-class CWallet;
-class CWalletTx;
class uint256;
-class CCoinControl;
enum class FeeEstimateMode;
struct bilingual_str;
+namespace wallet {
+class CCoinControl;
+class CWallet;
+class CWalletTx;
+
namespace feebumper {
enum class Result
@@ -54,5 +56,6 @@ Result CommitTransaction(CWallet& wallet,
uint256& bumped_txid);
} // namespace feebumper
+} // namespace wallet
#endif // BITCOIN_WALLET_FEEBUMPER_H
diff --git a/src/wallet/fees.cpp b/src/wallet/fees.cpp
index 429101e774..6f81fa30a1 100644
--- a/src/wallet/fees.cpp
+++ b/src/wallet/fees.cpp
@@ -9,6 +9,7 @@
#include <wallet/wallet.h>
+namespace wallet {
CAmount GetRequiredFee(const CWallet& wallet, unsigned int nTxBytes)
{
return GetRequiredFeeRate(wallet).GetFee(nTxBytes);
@@ -90,3 +91,4 @@ CFeeRate GetDiscardRate(const CWallet& wallet)
discard_rate = std::max(discard_rate, wallet.chain().relayDustFee());
return discard_rate;
}
+} // namespace wallet
diff --git a/src/wallet/fees.h b/src/wallet/fees.h
index 434f211dc2..af7f759553 100644
--- a/src/wallet/fees.h
+++ b/src/wallet/fees.h
@@ -1,18 +1,20 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2018 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_FEES_H
#define BITCOIN_WALLET_FEES_H
-#include <amount.h>
+#include <consensus/amount.h>
-class CCoinControl;
class CFeeRate;
-class CWallet;
struct FeeCalculation;
+namespace wallet {
+class CCoinControl;
+class CWallet;
+
/**
* Return the minimum required absolute fee for this size
* based on the required fee rate
@@ -41,5 +43,6 @@ CFeeRate GetMinimumFeeRate(const CWallet& wallet, const CCoinControl& coin_contr
* Return the maximum feerate for discarding change.
*/
CFeeRate GetDiscardRate(const CWallet& wallet);
+} // namespace wallet
#endif // BITCOIN_WALLET_FEES_H
diff --git a/src/wallet/init.cpp b/src/wallet/init.cpp
index f3e24384df..7a83dbc35d 100644
--- a/src/wallet/init.cpp
+++ b/src/wallet/init.cpp
@@ -1,10 +1,11 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <init.h>
#include <interfaces/chain.h>
+#include <interfaces/init.h>
#include <interfaces/wallet.h>
#include <net.h>
#include <node/context.h>
@@ -22,6 +23,9 @@
#include <wallet/wallet.h>
#include <walletinitinterface.h>
+using node::NodeContext;
+
+namespace wallet {
class WalletInit : public WalletInitInterface
{
public:
@@ -38,29 +42,30 @@ public:
void Construct(NodeContext& node) const override;
};
-const WalletInitInterface& g_wallet_init_interface = WalletInit();
-
void WalletInit::AddWalletOptions(ArgsManager& argsman) const
{
- argsman.AddArg("-addresstype", strprintf("What type of addresses to use (\"legacy\", \"p2sh-segwit\", or \"bech32\", default: \"%s\")", FormatOutputType(DEFAULT_ADDRESS_TYPE)), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
- argsman.AddArg("-avoidpartialspends", strprintf("Group outputs by address, selecting all or none, instead of selecting on a per-output basis. Privacy is improved as an address is only used once (unless someone sends to it after spending from it), but may result in slightly higher fees as suboptimal coin selection may result due to the added limitation (default: %u (always enabled for wallets with \"avoid_reuse\" enabled))", DEFAULT_AVOIDPARTIALSPENDS), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
- argsman.AddArg("-changetype", "What type of change to use (\"legacy\", \"p2sh-segwit\", or \"bech32\"). Default is same as -addresstype, except when -addresstype=p2sh-segwit a native segwit output is used when sending to a native segwit address)", ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
+ argsman.AddArg("-addresstype", strprintf("What type of addresses to use (\"legacy\", \"p2sh-segwit\", \"bech32\", or \"bech32m\", default: \"%s\")", FormatOutputType(DEFAULT_ADDRESS_TYPE)), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
+ argsman.AddArg("-avoidpartialspends", strprintf("Group outputs by address, selecting many (possibly all) or none, instead of selecting on a per-output basis. Privacy is improved as addresses are mostly swept with fewer transactions and outputs are aggregated in clean change addresses. It may result in higher fees due to less optimal coin selection caused by this added limitation and possibly a larger-than-necessary number of inputs being used. Always enabled for wallets with \"avoid_reuse\" enabled, otherwise default: %u.", DEFAULT_AVOIDPARTIALSPENDS), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
+ argsman.AddArg("-changetype",
+ "What type of change to use (\"legacy\", \"p2sh-segwit\", \"bech32\", or \"bech32m\"). Default is \"legacy\" when "
+ "-addresstype=legacy, else it is an implementation detail.",
+ ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
+ argsman.AddArg("-consolidatefeerate=<amt>", strprintf("The maximum feerate (in %s/kvB) at which transaction building may use more inputs than strictly necessary so that the wallet's UTXO pool can be reduced (default: %s).", CURRENCY_UNIT, FormatMoney(DEFAULT_CONSOLIDATE_FEERATE)), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
argsman.AddArg("-disablewallet", "Do not load the wallet and disable wallet RPC calls", ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
- argsman.AddArg("-discardfee=<amt>", strprintf("The fee rate (in %s/kB) that indicates your tolerance for discarding change by adding it to the fee (default: %s). "
+ argsman.AddArg("-discardfee=<amt>", strprintf("The fee rate (in %s/kvB) that indicates your tolerance for discarding change by adding it to the fee (default: %s). "
"Note: An output is discarded if it is dust at this rate, but we will always discard up to the dust relay fee and a discard fee above that is limited by the fee estimate for the longest target",
CURRENCY_UNIT, FormatMoney(DEFAULT_DISCARD_FEE)), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
- argsman.AddArg("-fallbackfee=<amt>", strprintf("A fee rate (in %s/kB) that will be used when fee estimation has insufficient data. 0 to entirely disable the fallbackfee feature. (default: %s)",
+ argsman.AddArg("-fallbackfee=<amt>", strprintf("A fee rate (in %s/kvB) that will be used when fee estimation has insufficient data. 0 to entirely disable the fallbackfee feature. (default: %s)",
CURRENCY_UNIT, FormatMoney(DEFAULT_FALLBACK_FEE)), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
argsman.AddArg("-keypool=<n>", strprintf("Set key pool size to <n> (default: %u). Warning: Smaller sizes may increase the risk of losing funds when restoring from an old backup, if none of the addresses in the original keypool have been used.", DEFAULT_KEYPOOL_SIZE), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
argsman.AddArg("-maxapsfee=<n>", strprintf("Spend up to this amount in additional (absolute) fees (in %s) if it allows the use of partial spend avoidance (default: %s)", CURRENCY_UNIT, FormatMoney(DEFAULT_MAX_AVOIDPARTIALSPEND_FEE)), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
argsman.AddArg("-maxtxfee=<amt>", strprintf("Maximum total fees (in %s) to use in a single wallet transaction; setting this too low may abort large transactions (default: %s)",
CURRENCY_UNIT, FormatMoney(DEFAULT_TRANSACTION_MAXFEE)), ArgsManager::ALLOW_ANY, OptionsCategory::DEBUG_TEST);
- argsman.AddArg("-mintxfee=<amt>", strprintf("Fees (in %s/kB) smaller than this are considered zero fee for transaction creation (default: %s)",
+ argsman.AddArg("-mintxfee=<amt>", strprintf("Fee rates (in %s/kvB) smaller than this are considered zero fee for transaction creation (default: %s)",
CURRENCY_UNIT, FormatMoney(DEFAULT_TRANSACTION_MINFEE)), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
- argsman.AddArg("-paytxfee=<amt>", strprintf("Fee (in %s/kB) to add to transactions you send (default: %s)",
+ argsman.AddArg("-paytxfee=<amt>", strprintf("Fee rate (in %s/kvB) to add to transactions you send (default: %s)",
CURRENCY_UNIT, FormatMoney(CFeeRate{DEFAULT_PAY_TX_FEE}.GetFeePerK())), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
- argsman.AddArg("-rescan", "Rescan the block chain for missing wallet transactions on startup", ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
#ifdef ENABLE_EXTERNAL_SIGNER
argsman.AddArg("-signer=<cmd>", "External signing tool, see doc/external-signer.md", ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
#endif
@@ -70,7 +75,7 @@ void WalletInit::AddWalletOptions(ArgsManager& argsman) const
argsman.AddArg("-walletbroadcast", strprintf("Make the wallet broadcast transactions (default: %u)", DEFAULT_WALLETBROADCAST), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
argsman.AddArg("-walletdir=<dir>", "Specify directory to hold wallets (default: <datadir>/wallets if it exists, otherwise <datadir>)", ArgsManager::ALLOW_ANY | ArgsManager::NETWORK_ONLY, OptionsCategory::WALLET);
#if HAVE_SYSTEM
- argsman.AddArg("-walletnotify=<cmd>", "Execute command when a wallet transaction changes. %s in cmd is replaced by TxID and %w is replaced by wallet name. %w is not currently implemented on windows. On systems where %w is supported, it should NOT be quoted because this would break shell escaping used to invoke the command.", ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
+ argsman.AddArg("-walletnotify=<cmd>", "Execute command when a wallet transaction changes. %s in cmd is replaced by TxID, %w is replaced by wallet name, %b is replaced by the hash of the block including the transaction (set to 'unconfirmed' if the transaction is not included) and %h is replaced by the block height (-1 if not included). %w is not currently implemented on windows. On systems where %w is supported, it should NOT be quoted because this would break shell escaping used to invoke the command.", ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
#endif
argsman.AddArg("-walletrbf", strprintf("Send transactions with full-RBF opt-in enabled (RPC only, default: %u)", DEFAULT_WALLET_RBF), ArgsManager::ALLOW_ANY, OptionsCategory::WALLET);
@@ -82,6 +87,12 @@ void WalletInit::AddWalletOptions(ArgsManager& argsman) const
argsman.AddHiddenArgs({"-dblogsize", "-flushwallet", "-privdb"});
#endif
+#ifdef USE_SQLITE
+ argsman.AddArg("-unsafesqlitesync", "Set SQLite synchronous=OFF to disable waiting for the database to sync to disk. This is unsafe and can cause data loss and corruption. This option is only used by tests to improve their performance (default: false)", ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::WALLET_DEBUG_TEST);
+#else
+ argsman.AddHiddenArgs({"-unsafesqlitesync"});
+#endif
+
argsman.AddArg("-walletrejectlongchains", strprintf("Wallet will not create transactions that violate mempool chain limits (default: %u)", DEFAULT_WALLET_REJECT_LONG_CHAINS), ArgsManager::ALLOW_ANY | ArgsManager::DEBUG_ONLY, OptionsCategory::WALLET_DEBUG_TEST);
argsman.AddHiddenArgs({"-zapwallettxes"});
@@ -123,7 +134,10 @@ void WalletInit::Construct(NodeContext& node) const
LogPrintf("Wallet disabled!\n");
return;
}
- auto wallet_client = interfaces::MakeWalletClient(*node.chain, args);
- node.wallet_client = wallet_client.get();
- node.chain_clients.emplace_back(std::move(wallet_client));
+ auto wallet_loader = node.init->makeWalletLoader(*node.chain);
+ node.wallet_loader = wallet_loader.get();
+ node.chain_clients.emplace_back(std::move(wallet_loader));
}
+} // namespace wallet
+
+const WalletInitInterface& g_wallet_init_interface = wallet::WalletInit();
diff --git a/src/wallet/interfaces.cpp b/src/wallet/interfaces.cpp
index 1fb789b128..9083c304b2 100644
--- a/src/wallet/interfaces.cpp
+++ b/src/wallet/interfaces.cpp
@@ -1,10 +1,10 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <interfaces/wallet.h>
-#include <amount.h>
+#include <consensus/amount.h>
#include <interfaces/chain.h>
#include <interfaces/handler.h>
#include <policy/fees.h>
@@ -15,16 +15,17 @@
#include <sync.h>
#include <uint256.h>
#include <util/check.h>
-#include <util/ref.h>
#include <util/system.h>
+#include <util/translation.h>
#include <util/ui_change_type.h>
#include <wallet/context.h>
#include <wallet/feebumper.h>
#include <wallet/fees.h>
#include <wallet/ismine.h>
#include <wallet/load.h>
-#include <wallet/rpcsigner.h>
-#include <wallet/rpcwallet.h>
+#include <wallet/receive.h>
+#include <wallet/rpc/wallet.h>
+#include <wallet/spend.h>
#include <wallet/wallet.h>
#include <memory>
@@ -39,7 +40,7 @@ using interfaces::MakeHandler;
using interfaces::Wallet;
using interfaces::WalletAddress;
using interfaces::WalletBalances;
-using interfaces::WalletClient;
+using interfaces::WalletLoader;
using interfaces::WalletOrderForm;
using interfaces::WalletTx;
using interfaces::WalletTxOut;
@@ -56,7 +57,7 @@ WalletTx MakeWalletTx(CWallet& wallet, const CWalletTx& wtx)
result.tx = wtx.tx;
result.txin_is_mine.reserve(wtx.tx->vin.size());
for (const auto& txin : wtx.tx->vin) {
- result.txin_is_mine.emplace_back(wallet.IsMine(txin));
+ result.txin_is_mine.emplace_back(InputIsMine(wallet, txin));
}
result.txout_is_mine.reserve(wtx.tx->vout.size());
result.txout_address.reserve(wtx.tx->vout.size());
@@ -68,9 +69,9 @@ WalletTx MakeWalletTx(CWallet& wallet, const CWalletTx& wtx)
wallet.IsMine(result.txout_address.back()) :
ISMINE_NO);
}
- result.credit = wtx.GetCredit(ISMINE_ALL);
- result.debit = wtx.GetDebit(ISMINE_ALL);
- result.change = wtx.GetChange();
+ result.credit = CachedTxGetCredit(wallet, wtx, ISMINE_ALL);
+ result.debit = CachedTxGetDebit(wallet, wtx, ISMINE_ALL);
+ result.change = CachedTxGetChange(wallet, wtx);
result.time = wtx.GetTxTime();
result.value_map = wtx.mapValue;
result.is_coinbase = wtx.IsCoinBase();
@@ -81,16 +82,18 @@ WalletTx MakeWalletTx(CWallet& wallet, const CWalletTx& wtx)
WalletTxStatus MakeWalletTxStatus(const CWallet& wallet, const CWalletTx& wtx)
{
WalletTxStatus result;
- result.block_height = wtx.m_confirm.block_height > 0 ? wtx.m_confirm.block_height : std::numeric_limits<int>::max();
- result.blocks_to_maturity = wtx.GetBlocksToMaturity();
- result.depth_in_main_chain = wtx.GetDepthInMainChain();
+ result.block_height =
+ wtx.state<TxStateConfirmed>() ? wtx.state<TxStateConfirmed>()->confirmed_block_height :
+ wtx.state<TxStateConflicted>() ? wtx.state<TxStateConflicted>()->conflicting_block_height :
+ std::numeric_limits<int>::max();
+ result.blocks_to_maturity = wallet.GetTxBlocksToMaturity(wtx);
+ result.depth_in_main_chain = wallet.GetTxDepthInMainChain(wtx);
result.time_received = wtx.nTimeReceived;
result.lock_time = wtx.tx->nLockTime;
- result.is_final = wallet.chain().checkFinalTx(*wtx.tx);
- result.is_trusted = wtx.IsTrusted();
+ result.is_trusted = CachedTxIsTrusted(wallet, wtx);
result.is_abandoned = wtx.isAbandoned();
result.is_coinbase = wtx.IsCoinBase();
- result.is_in_main_chain = wtx.IsInMainChain();
+ result.is_in_main_chain = wallet.IsTxInMainChain(wtx);
return result;
}
@@ -111,7 +114,7 @@ WalletTxOut MakeWalletTxOut(const CWallet& wallet,
class WalletImpl : public Wallet
{
public:
- explicit WalletImpl(const std::shared_ptr<CWallet>& wallet) : m_wallet(wallet) {}
+ explicit WalletImpl(WalletContext& context, const std::shared_ptr<CWallet>& wallet) : m_context(context), m_wallet(wallet) {}
bool encryptWallet(const SecureString& wallet_passphrase) override
{
@@ -132,7 +135,7 @@ public:
bool getNewDestination(const OutputType type, const std::string label, CTxDestination& dest) override
{
LOCK(m_wallet->cs_wallet);
- std::string error;
+ bilingual_str error;
return m_wallet->GetNewDestination(type, label, dest, error);
}
bool getPubKey(const CScript& script, const CKeyID& address, CPubKey& pub_key) override
@@ -199,32 +202,31 @@ public:
}
return result;
}
- bool addDestData(const CTxDestination& dest, const std::string& key, const std::string& value) override
- {
+ std::vector<std::string> getAddressReceiveRequests() override {
LOCK(m_wallet->cs_wallet);
- WalletBatch batch{m_wallet->GetDatabase()};
- return m_wallet->AddDestData(batch, dest, key, value);
+ return m_wallet->GetAddressReceiveRequests();
}
- bool eraseDestData(const CTxDestination& dest, const std::string& key) override
- {
+ bool setAddressReceiveRequest(const CTxDestination& dest, const std::string& id, const std::string& value) override {
LOCK(m_wallet->cs_wallet);
WalletBatch batch{m_wallet->GetDatabase()};
- return m_wallet->EraseDestData(batch, dest, key);
+ return m_wallet->SetAddressReceiveRequest(batch, dest, id, value);
}
- std::vector<std::string> getDestValues(const std::string& prefix) override
+ bool displayAddress(const CTxDestination& dest) override
{
LOCK(m_wallet->cs_wallet);
- return m_wallet->GetDestValues(prefix);
+ return m_wallet->DisplayAddress(dest);
}
- void lockCoin(const COutPoint& output) override
+ bool lockCoin(const COutPoint& output, const bool write_to_db) override
{
LOCK(m_wallet->cs_wallet);
- return m_wallet->LockCoin(output);
+ std::unique_ptr<WalletBatch> batch = write_to_db ? std::make_unique<WalletBatch>(m_wallet->GetDatabase()) : nullptr;
+ return m_wallet->LockCoin(output, batch.get());
}
- void unlockCoin(const COutPoint& output) override
+ bool unlockCoin(const COutPoint& output) override
{
LOCK(m_wallet->cs_wallet);
- return m_wallet->UnlockCoin(output);
+ std::unique_ptr<WalletBatch> batch = std::make_unique<WalletBatch>(m_wallet->GetDatabase());
+ return m_wallet->UnlockCoin(output, batch.get());
}
bool isLockedCoin(const COutPoint& output) override
{
@@ -246,7 +248,7 @@ public:
LOCK(m_wallet->cs_wallet);
CTransactionRef tx;
FeeCalculation fee_calc_out;
- if (!m_wallet->CreateTransaction(recipients, tx, fee, change_pos,
+ if (!CreateTransaction(*m_wallet, recipients, tx, fee, change_pos,
fail_reason, coin_control, fee_calc_out, sign)) {
return {};
}
@@ -354,15 +356,15 @@ public:
TransactionError fillPSBT(int sighash_type,
bool sign,
bool bip32derivs,
+ size_t* n_signed,
PartiallySignedTransaction& psbtx,
- bool& complete,
- size_t* n_signed) override
+ bool& complete) override
{
return m_wallet->FillPSBT(psbtx, complete, sighash_type, sign, bip32derivs, n_signed);
}
WalletBalances getBalances() override
{
- const auto bal = m_wallet->GetBalance();
+ const auto bal = GetBalance(*m_wallet);
WalletBalances result;
result.balance = bal.m_mine_trusted;
result.unconfirmed_balance = bal.m_mine_untrusted_pending;
@@ -385,15 +387,15 @@ public:
balances = getBalances();
return true;
}
- CAmount getBalance() override { return m_wallet->GetBalance().m_mine_trusted; }
+ CAmount getBalance() override { return GetBalance(*m_wallet).m_mine_trusted; }
CAmount getAvailableBalance(const CCoinControl& coin_control) override
{
- return m_wallet->GetAvailableBalance(&coin_control);
+ return GetAvailableBalance(*m_wallet, &coin_control);
}
isminetype txinIsMine(const CTxIn& txin) override
{
LOCK(m_wallet->cs_wallet);
- return m_wallet->IsMine(txin);
+ return InputIsMine(*m_wallet, txin);
}
isminetype txoutIsMine(const CTxOut& txout) override
{
@@ -408,13 +410,13 @@ public:
CAmount getCredit(const CTxOut& txout, isminefilter filter) override
{
LOCK(m_wallet->cs_wallet);
- return m_wallet->GetCredit(txout, filter);
+ return OutputGetCredit(*m_wallet, txout, filter);
}
CoinsList listCoins() override
{
LOCK(m_wallet->cs_wallet);
CoinsList result;
- for (const auto& entry : m_wallet->ListCoins()) {
+ for (const auto& entry : ListCoins(*m_wallet)) {
auto& group = result[entry.first];
for (const auto& coin : entry.second) {
group.emplace_back(COutPoint(coin.tx->GetHash(), coin.i),
@@ -432,7 +434,7 @@ public:
result.emplace_back();
auto it = m_wallet->mapWallet.find(output.hash);
if (it != m_wallet->mapWallet.end()) {
- int depth = it->second.GetDepthInMainChain();
+ int depth = m_wallet->GetTxDepthInMainChain(it->second);
if (depth >= 0) {
result.back() = MakeWalletTxOut(*m_wallet, it->second, output.n, depth);
}
@@ -456,12 +458,18 @@ public:
unsigned int getConfirmTarget() override { return m_wallet->m_confirm_target; }
bool hdEnabled() override { return m_wallet->IsHDEnabled(); }
bool canGetAddresses() override { return m_wallet->CanGetAddresses(); }
+ bool hasExternalSigner() override { return m_wallet->IsWalletFlagSet(WALLET_FLAG_EXTERNAL_SIGNER); }
bool privateKeysDisabled() override { return m_wallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS); }
+ bool taprootEnabled() override {
+ if (m_wallet->IsLegacy()) return false;
+ auto spk_man = m_wallet->GetScriptPubKeyMan(OutputType::BECH32M, /*internal=*/false);
+ return spk_man != nullptr;
+ }
OutputType getDefaultAddressType() override { return m_wallet->m_default_address_type; }
CAmount getDefaultMaxTxFee() override { return m_wallet->m_default_max_tx_fee; }
void remove() override
{
- RemoveWallet(m_wallet, false /* load_on_start */);
+ RemoveWallet(m_context, m_wallet, false /* load_on_start */);
}
bool isLegacy() override { return m_wallet->IsLegacy(); }
std::unique_ptr<Handler> handleUnload(UnloadFn fn) override
@@ -479,13 +487,13 @@ public:
std::unique_ptr<Handler> handleAddressBookChanged(AddressBookChangedFn fn) override
{
return MakeHandler(m_wallet->NotifyAddressBookChanged.connect(
- [fn](CWallet*, const CTxDestination& address, const std::string& label, bool is_mine,
- const std::string& purpose, ChangeType status) { fn(address, label, is_mine, purpose, status); }));
+ [fn](const CTxDestination& address, const std::string& label, bool is_mine,
+ const std::string& purpose, ChangeType status) { fn(address, label, is_mine, purpose, status); }));
}
std::unique_ptr<Handler> handleTransactionChanged(TransactionChangedFn fn) override
{
return MakeHandler(m_wallet->NotifyTransactionChanged.connect(
- [fn](CWallet*, const uint256& txid, ChangeType status) { fn(txid, status); }));
+ [fn](const uint256& txid, ChangeType status) { fn(txid, status); }));
}
std::unique_ptr<Handler> handleWatchOnlyChanged(WatchOnlyChangedFn fn) override
{
@@ -497,46 +505,40 @@ public:
}
CWallet* wallet() override { return m_wallet.get(); }
+ WalletContext& m_context;
std::shared_ptr<CWallet> m_wallet;
};
-class WalletClientImpl : public WalletClient
+class WalletLoaderImpl : public WalletLoader
{
public:
- WalletClientImpl(Chain& chain, ArgsManager& args)
+ WalletLoaderImpl(Chain& chain, ArgsManager& args)
{
m_context.chain = &chain;
m_context.args = &args;
}
- ~WalletClientImpl() override { UnloadWallets(); }
+ ~WalletLoaderImpl() override { UnloadWallets(m_context); }
//! ChainClient methods
void registerRpcs() override
{
for (const CRPCCommand& command : GetWalletRPCCommands()) {
m_rpc_commands.emplace_back(command.category, command.name, [this, &command](const JSONRPCRequest& request, UniValue& result, bool last_handler) {
- return command.actor({request, m_context}, result, last_handler);
+ JSONRPCRequest wallet_request = request;
+ wallet_request.context = &m_context;
+ return command.actor(wallet_request, result, last_handler);
}, command.argNames, command.unique_id);
m_rpc_handlers.emplace_back(m_context.chain->handleRpc(m_rpc_commands.back()));
}
-
-#ifdef ENABLE_EXTERNAL_SIGNER
- for (const CRPCCommand& command : GetSignerRPCCommands()) {
- m_rpc_commands.emplace_back(command.category, command.name, [this, &command](const JSONRPCRequest& request, UniValue& result, bool last_handler) {
- return command.actor({request, m_context}, result, last_handler);
- }, command.argNames, command.unique_id);
- m_rpc_handlers.emplace_back(m_context.chain->handleRpc(m_rpc_commands.back()));
- }
-#endif
}
- bool verify() override { return VerifyWallets(*m_context.chain); }
- bool load() override { return LoadWallets(*m_context.chain); }
- void start(CScheduler& scheduler) override { return StartWallets(scheduler, *Assert(m_context.args)); }
- void flush() override { return FlushWallets(); }
- void stop() override { return StopWallets(); }
+ bool verify() override { return VerifyWallets(m_context); }
+ bool load() override { return LoadWallets(m_context); }
+ void start(CScheduler& scheduler) override { return StartWallets(m_context, scheduler); }
+ void flush() override { return FlushWallets(m_context); }
+ void stop() override { return StopWallets(m_context); }
void setMockTime(int64_t time) override { return SetMockTime(time); }
- //! WalletClient methods
+ //! WalletLoader methods
std::unique_ptr<Wallet> createWallet(const std::string& name, const SecureString& passphrase, uint64_t wallet_creation_flags, bilingual_str& error, std::vector<bilingual_str>& warnings) override
{
std::shared_ptr<CWallet> wallet;
@@ -545,39 +547,46 @@ public:
options.require_create = true;
options.create_flags = wallet_creation_flags;
options.create_passphrase = passphrase;
- return MakeWallet(CreateWallet(*m_context.chain, name, true /* load_on_start */, options, status, error, warnings));
+ return MakeWallet(m_context, CreateWallet(m_context, name, true /* load_on_start */, options, status, error, warnings));
}
std::unique_ptr<Wallet> loadWallet(const std::string& name, bilingual_str& error, std::vector<bilingual_str>& warnings) override
{
DatabaseOptions options;
DatabaseStatus status;
options.require_existing = true;
- return MakeWallet(LoadWallet(*m_context.chain, name, true /* load_on_start */, options, status, error, warnings));
+ return MakeWallet(m_context, LoadWallet(m_context, name, true /* load_on_start */, options, status, error, warnings));
+ }
+ std::unique_ptr<Wallet> restoreWallet(const fs::path& backup_file, const std::string& wallet_name, bilingual_str& error, std::vector<bilingual_str>& warnings) override
+ {
+ DatabaseStatus status;
+
+ return MakeWallet(m_context, RestoreWallet(m_context, backup_file, wallet_name, /*load_on_start=*/true, status, error, warnings));
}
std::string getWalletDir() override
{
- return GetWalletDir().string();
+ return fs::PathToString(GetWalletDir());
}
std::vector<std::string> listWalletDir() override
{
std::vector<std::string> paths;
for (auto& path : ListDatabases(GetWalletDir())) {
- paths.push_back(path.string());
+ paths.push_back(fs::PathToString(path));
}
return paths;
}
std::vector<std::unique_ptr<Wallet>> getWallets() override
{
std::vector<std::unique_ptr<Wallet>> wallets;
- for (const auto& wallet : GetWallets()) {
- wallets.emplace_back(MakeWallet(wallet));
+ for (const auto& wallet : GetWallets(m_context)) {
+ wallets.emplace_back(MakeWallet(m_context, wallet));
}
return wallets;
}
std::unique_ptr<Handler> handleLoadWallet(LoadWalletFn fn) override
{
- return HandleLoadWallet(std::move(fn));
+ return HandleLoadWallet(m_context, std::move(fn));
}
+ WalletContext* context() override { return &m_context; }
WalletContext m_context;
const std::vector<std::string> m_wallet_filenames;
@@ -588,10 +597,10 @@ public:
} // namespace wallet
namespace interfaces {
-std::unique_ptr<Wallet> MakeWallet(const std::shared_ptr<CWallet>& wallet) { return wallet ? MakeUnique<wallet::WalletImpl>(wallet) : nullptr; }
+std::unique_ptr<Wallet> MakeWallet(wallet::WalletContext& context, const std::shared_ptr<wallet::CWallet>& wallet) { return wallet ? std::make_unique<wallet::WalletImpl>(context, wallet) : nullptr; }
-std::unique_ptr<WalletClient> MakeWalletClient(Chain& chain, ArgsManager& args)
+std::unique_ptr<WalletLoader> MakeWalletLoader(Chain& chain, ArgsManager& args)
{
- return MakeUnique<wallet::WalletClientImpl>(chain, args);
+ return std::make_unique<wallet::WalletLoaderImpl>(chain, args);
}
} // namespace interfaces
diff --git a/src/wallet/ismine.h b/src/wallet/ismine.h
index 38ed7e7770..4ef4ef98ac 100644
--- a/src/wallet/ismine.h
+++ b/src/wallet/ismine.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2019 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,12 +8,15 @@
#include <script/standard.h>
-#include <stdint.h>
#include <bitset>
+#include <cstdint>
+#include <type_traits>
-class CWallet;
class CScript;
+namespace wallet {
+class CWallet;
+
/**
* IsMine() return codes, which depend on ScriptPubKeyMan implementation.
* Not every ScriptPubKeyMan covers all types, please refer to
@@ -35,8 +38,7 @@ class CScript;
* ISMINE_USED: the scriptPubKey corresponds to a used address owned by the wallet user.
*
*/
-enum isminetype : unsigned int
-{
+enum isminetype : unsigned int {
ISMINE_NO = 0,
ISMINE_WATCH_ONLY = 1 << 0,
ISMINE_SPENDABLE = 1 << 1,
@@ -46,7 +48,7 @@ enum isminetype : unsigned int
ISMINE_ENUM_ELEMENTS,
};
/** used for bitflags of isminetype */
-typedef uint8_t isminefilter;
+using isminefilter = std::underlying_type<isminetype>::type;
/**
* Cachable amount subdivided into watchonly and spendable parts.
@@ -66,5 +68,6 @@ struct CachableAmount
m_value[filter] = value;
}
};
+} // namespace wallet
#endif // BITCOIN_WALLET_ISMINE_H
diff --git a/src/wallet/load.cpp b/src/wallet/load.cpp
index 30832f983b..633d8c5450 100644
--- a/src/wallet/load.cpp
+++ b/src/wallet/load.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,61 +8,74 @@
#include <fs.h>
#include <interfaces/chain.h>
#include <scheduler.h>
+#include <util/check.h>
#include <util/string.h>
#include <util/system.h>
#include <util/translation.h>
+#include <wallet/context.h>
+#include <wallet/spend.h>
#include <wallet/wallet.h>
#include <wallet/walletdb.h>
#include <univalue.h>
-bool VerifyWallets(interfaces::Chain& chain)
+#include <system_error>
+
+namespace wallet {
+bool VerifyWallets(WalletContext& context)
{
- if (gArgs.IsArgSet("-walletdir")) {
- fs::path wallet_dir = gArgs.GetArg("-walletdir", "");
- boost::system::error_code error;
+ interfaces::Chain& chain = *context.chain;
+ ArgsManager& args = *Assert(context.args);
+
+ if (args.IsArgSet("-walletdir")) {
+ const fs::path wallet_dir{args.GetPathArg("-walletdir")};
+ std::error_code error;
// The canonical path cleans the path, preventing >1 Berkeley environment instances for the same directory
+ // It also lets the fs::exists and fs::is_directory checks below pass on windows, since they return false
+ // if a path has trailing slashes, and it strips trailing slashes.
fs::path canonical_wallet_dir = fs::canonical(wallet_dir, error);
- if (error || !fs::exists(wallet_dir)) {
- chain.initError(strprintf(_("Specified -walletdir \"%s\" does not exist"), wallet_dir.string()));
+ if (error || !fs::exists(canonical_wallet_dir)) {
+ chain.initError(strprintf(_("Specified -walletdir \"%s\" does not exist"), fs::PathToString(wallet_dir)));
return false;
- } else if (!fs::is_directory(wallet_dir)) {
- chain.initError(strprintf(_("Specified -walletdir \"%s\" is not a directory"), wallet_dir.string()));
+ } else if (!fs::is_directory(canonical_wallet_dir)) {
+ chain.initError(strprintf(_("Specified -walletdir \"%s\" is not a directory"), fs::PathToString(wallet_dir)));
return false;
// The canonical path transforms relative paths into absolute ones, so we check the non-canonical version
} else if (!wallet_dir.is_absolute()) {
- chain.initError(strprintf(_("Specified -walletdir \"%s\" is a relative path"), wallet_dir.string()));
+ chain.initError(strprintf(_("Specified -walletdir \"%s\" is a relative path"), fs::PathToString(wallet_dir)));
return false;
}
- gArgs.ForceSetArg("-walletdir", canonical_wallet_dir.string());
+ args.ForceSetArg("-walletdir", fs::PathToString(canonical_wallet_dir));
}
- LogPrintf("Using wallet directory %s\n", GetWalletDir().string());
+ LogPrintf("Using wallet directory %s\n", fs::PathToString(GetWalletDir()));
- chain.initMessage(_("Verifying wallet(s)...").translated);
+ chain.initMessage(_("Verifying wallet(s)…").translated);
// For backwards compatibility if an unnamed top level wallet exists in the
// wallets directory, include it in the default list of wallets to load.
- if (!gArgs.IsArgSet("wallet")) {
+ if (!args.IsArgSet("wallet")) {
DatabaseOptions options;
DatabaseStatus status;
bilingual_str error_string;
options.require_existing = true;
options.verify = false;
if (MakeWalletDatabase("", options, status, error_string)) {
- gArgs.LockSettings([&](util::Settings& settings) {
- util::SettingsValue wallets(util::SettingsValue::VARR);
- wallets.push_back(""); // Default wallet name is ""
- settings.rw_settings["wallet"] = wallets;
- });
+ util::SettingsValue wallets(util::SettingsValue::VARR);
+ wallets.push_back(""); // Default wallet name is ""
+ // Pass write=false because no need to write file and probably
+ // better not to. If unnamed wallet needs to be added next startup
+ // and the setting is empty, this code will just run again.
+ chain.updateRwSetting("wallet", wallets, /* write= */ false);
}
}
// Keep track of each wallet absolute path to detect duplicates.
std::set<fs::path> wallet_paths;
- for (const auto& wallet_file : gArgs.GetArgs("-wallet")) {
- const fs::path path = fsbridge::AbsPathJoin(GetWalletDir(), wallet_file);
+ for (const auto& wallet : chain.getSettingsList("wallet")) {
+ const auto& wallet_file = wallet.get_str();
+ const fs::path path = fsbridge::AbsPathJoin(GetWalletDir(), fs::PathFromString(wallet_file));
if (!wallet_paths.insert(path).second) {
chain.initWarning(strprintf(_("Ignoring duplicate -wallet %s."), wallet_file));
@@ -76,7 +89,7 @@ bool VerifyWallets(interfaces::Chain& chain)
bilingual_str error_string;
if (!MakeWalletDatabase(wallet_file, options, status, error_string)) {
if (status == DatabaseStatus::FAILED_NOT_FOUND) {
- chain.initWarning(Untranslated(strprintf("Skipping -wallet path that doesn't exist. %s\n", error_string.original)));
+ chain.initWarning(Untranslated(strprintf("Skipping -wallet path that doesn't exist. %s", error_string.original)));
} else {
chain.initError(error_string);
return false;
@@ -87,12 +100,14 @@ bool VerifyWallets(interfaces::Chain& chain)
return true;
}
-bool LoadWallets(interfaces::Chain& chain)
+bool LoadWallets(WalletContext& context)
{
+ interfaces::Chain& chain = *context.chain;
try {
std::set<fs::path> wallet_paths;
- for (const std::string& name : gArgs.GetArgs("-wallet")) {
- if (!wallet_paths.insert(name).second) {
+ for (const auto& wallet : chain.getSettingsList("wallet")) {
+ const auto& name = wallet.get_str();
+ if (!wallet_paths.insert(fs::PathFromString(name)).second) {
continue;
}
DatabaseOptions options;
@@ -105,13 +120,14 @@ bool LoadWallets(interfaces::Chain& chain)
if (!database && status == DatabaseStatus::FAILED_NOT_FOUND) {
continue;
}
- std::shared_ptr<CWallet> pwallet = database ? CWallet::Create(chain, name, std::move(database), options.create_flags, error, warnings) : nullptr;
+ chain.initMessage(_("Loading wallet…").translated);
+ std::shared_ptr<CWallet> pwallet = database ? CWallet::Create(context, name, std::move(database), options.create_flags, error, warnings) : nullptr;
if (!warnings.empty()) chain.initWarning(Join(warnings, Untranslated("\n")));
if (!pwallet) {
chain.initError(error);
return false;
}
- AddWallet(pwallet);
+ AddWallet(context, pwallet);
}
return true;
} catch (const std::runtime_error& e) {
@@ -120,41 +136,42 @@ bool LoadWallets(interfaces::Chain& chain)
}
}
-void StartWallets(CScheduler& scheduler, const ArgsManager& args)
+void StartWallets(WalletContext& context, CScheduler& scheduler)
{
- for (const std::shared_ptr<CWallet>& pwallet : GetWallets()) {
+ for (const std::shared_ptr<CWallet>& pwallet : GetWallets(context)) {
pwallet->postInitProcess();
}
// Schedule periodic wallet flushes and tx rebroadcasts
- if (args.GetBoolArg("-flushwallet", DEFAULT_FLUSHWALLET)) {
- scheduler.scheduleEvery(MaybeCompactWalletDB, std::chrono::milliseconds{500});
+ if (context.args->GetBoolArg("-flushwallet", DEFAULT_FLUSHWALLET)) {
+ scheduler.scheduleEvery([&context] { MaybeCompactWalletDB(context); }, std::chrono::milliseconds{500});
}
- scheduler.scheduleEvery(MaybeResendWalletTxs, std::chrono::milliseconds{1000});
+ scheduler.scheduleEvery([&context] { MaybeResendWalletTxs(context); }, std::chrono::milliseconds{1000});
}
-void FlushWallets()
+void FlushWallets(WalletContext& context)
{
- for (const std::shared_ptr<CWallet>& pwallet : GetWallets()) {
+ for (const std::shared_ptr<CWallet>& pwallet : GetWallets(context)) {
pwallet->Flush();
}
}
-void StopWallets()
+void StopWallets(WalletContext& context)
{
- for (const std::shared_ptr<CWallet>& pwallet : GetWallets()) {
+ for (const std::shared_ptr<CWallet>& pwallet : GetWallets(context)) {
pwallet->Close();
}
}
-void UnloadWallets()
+void UnloadWallets(WalletContext& context)
{
- auto wallets = GetWallets();
+ auto wallets = GetWallets(context);
while (!wallets.empty()) {
auto wallet = wallets.back();
wallets.pop_back();
std::vector<bilingual_str> warnings;
- RemoveWallet(wallet, nullopt, warnings);
+ RemoveWallet(context, wallet, /* load_on_start= */ std::nullopt, warnings);
UnloadWallet(std::move(wallet));
}
}
+} // namespace wallet
diff --git a/src/wallet/load.h b/src/wallet/load.h
index 7910f0d6e1..5c2bbdabe4 100644
--- a/src/wallet/load.h
+++ b/src/wallet/load.h
@@ -16,22 +16,26 @@ namespace interfaces {
class Chain;
} // namespace interfaces
+namespace wallet {
+struct WalletContext;
+
//! Responsible for reading and validating the -wallet arguments and verifying the wallet database.
-bool VerifyWallets(interfaces::Chain& chain);
+bool VerifyWallets(WalletContext& context);
//! Load wallet databases.
-bool LoadWallets(interfaces::Chain& chain);
+bool LoadWallets(WalletContext& context);
//! Complete startup of wallets.
-void StartWallets(CScheduler& scheduler, const ArgsManager& args);
+void StartWallets(WalletContext& context, CScheduler& scheduler);
//! Flush all wallets in preparation for shutdown.
-void FlushWallets();
+void FlushWallets(WalletContext& context);
//! Stop all wallets. Wallets will be flushed first.
-void StopWallets();
+void StopWallets(WalletContext& context);
//! Close all wallets.
-void UnloadWallets();
+void UnloadWallets(WalletContext& context);
+} // namespace wallet
#endif // BITCOIN_WALLET_LOAD_H
diff --git a/src/wallet/receive.cpp b/src/wallet/receive.cpp
new file mode 100644
index 0000000000..1a6f06213c
--- /dev/null
+++ b/src/wallet/receive.cpp
@@ -0,0 +1,475 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <consensus/amount.h>
+#include <consensus/consensus.h>
+#include <wallet/receive.h>
+#include <wallet/transaction.h>
+#include <wallet/wallet.h>
+
+namespace wallet {
+isminetype InputIsMine(const CWallet& wallet, const CTxIn &txin)
+{
+ AssertLockHeld(wallet.cs_wallet);
+ std::map<uint256, CWalletTx>::const_iterator mi = wallet.mapWallet.find(txin.prevout.hash);
+ if (mi != wallet.mapWallet.end())
+ {
+ const CWalletTx& prev = (*mi).second;
+ if (txin.prevout.n < prev.tx->vout.size())
+ return wallet.IsMine(prev.tx->vout[txin.prevout.n]);
+ }
+ return ISMINE_NO;
+}
+
+bool AllInputsMine(const CWallet& wallet, const CTransaction& tx, const isminefilter& filter)
+{
+ LOCK(wallet.cs_wallet);
+
+ for (const CTxIn& txin : tx.vin)
+ {
+ auto mi = wallet.mapWallet.find(txin.prevout.hash);
+ if (mi == wallet.mapWallet.end())
+ return false; // any unknown inputs can't be from us
+
+ const CWalletTx& prev = (*mi).second;
+
+ if (txin.prevout.n >= prev.tx->vout.size())
+ return false; // invalid input!
+
+ if (!(wallet.IsMine(prev.tx->vout[txin.prevout.n]) & filter))
+ return false;
+ }
+ return true;
+}
+
+CAmount OutputGetCredit(const CWallet& wallet, const CTxOut& txout, const isminefilter& filter)
+{
+ if (!MoneyRange(txout.nValue))
+ throw std::runtime_error(std::string(__func__) + ": value out of range");
+ LOCK(wallet.cs_wallet);
+ return ((wallet.IsMine(txout) & filter) ? txout.nValue : 0);
+}
+
+CAmount TxGetCredit(const CWallet& wallet, const CTransaction& tx, const isminefilter& filter)
+{
+ CAmount nCredit = 0;
+ for (const CTxOut& txout : tx.vout)
+ {
+ nCredit += OutputGetCredit(wallet, txout, filter);
+ if (!MoneyRange(nCredit))
+ throw std::runtime_error(std::string(__func__) + ": value out of range");
+ }
+ return nCredit;
+}
+
+bool ScriptIsChange(const CWallet& wallet, const CScript& script)
+{
+ // TODO: fix handling of 'change' outputs. The assumption is that any
+ // payment to a script that is ours, but is not in the address book
+ // is change. That assumption is likely to break when we implement multisignature
+ // wallets that return change back into a multi-signature-protected address;
+ // a better way of identifying which outputs are 'the send' and which are
+ // 'the change' will need to be implemented (maybe extend CWalletTx to remember
+ // which output, if any, was change).
+ AssertLockHeld(wallet.cs_wallet);
+ if (wallet.IsMine(script))
+ {
+ CTxDestination address;
+ if (!ExtractDestination(script, address))
+ return true;
+ if (!wallet.FindAddressBookEntry(address)) {
+ return true;
+ }
+ }
+ return false;
+}
+
+bool OutputIsChange(const CWallet& wallet, const CTxOut& txout)
+{
+ return ScriptIsChange(wallet, txout.scriptPubKey);
+}
+
+CAmount OutputGetChange(const CWallet& wallet, const CTxOut& txout)
+{
+ AssertLockHeld(wallet.cs_wallet);
+ if (!MoneyRange(txout.nValue))
+ throw std::runtime_error(std::string(__func__) + ": value out of range");
+ return (OutputIsChange(wallet, txout) ? txout.nValue : 0);
+}
+
+CAmount TxGetChange(const CWallet& wallet, const CTransaction& tx)
+{
+ LOCK(wallet.cs_wallet);
+ CAmount nChange = 0;
+ for (const CTxOut& txout : tx.vout)
+ {
+ nChange += OutputGetChange(wallet, txout);
+ if (!MoneyRange(nChange))
+ throw std::runtime_error(std::string(__func__) + ": value out of range");
+ }
+ return nChange;
+}
+
+static CAmount GetCachableAmount(const CWallet& wallet, const CWalletTx& wtx, CWalletTx::AmountType type, const isminefilter& filter, bool recalculate = false)
+{
+ auto& amount = wtx.m_amounts[type];
+ if (recalculate || !amount.m_cached[filter]) {
+ amount.Set(filter, type == CWalletTx::DEBIT ? wallet.GetDebit(*wtx.tx, filter) : TxGetCredit(wallet, *wtx.tx, filter));
+ wtx.m_is_cache_empty = false;
+ }
+ return amount.m_value[filter];
+}
+
+CAmount CachedTxGetCredit(const CWallet& wallet, const CWalletTx& wtx, const isminefilter& filter)
+{
+ // Must wait until coinbase is safely deep enough in the chain before valuing it
+ if (wallet.IsTxImmatureCoinBase(wtx))
+ return 0;
+
+ CAmount credit = 0;
+ if (filter & ISMINE_SPENDABLE) {
+ // GetBalance can assume transactions in mapWallet won't change
+ credit += GetCachableAmount(wallet, wtx, CWalletTx::CREDIT, ISMINE_SPENDABLE);
+ }
+ if (filter & ISMINE_WATCH_ONLY) {
+ credit += GetCachableAmount(wallet, wtx, CWalletTx::CREDIT, ISMINE_WATCH_ONLY);
+ }
+ return credit;
+}
+
+CAmount CachedTxGetDebit(const CWallet& wallet, const CWalletTx& wtx, const isminefilter& filter)
+{
+ if (wtx.tx->vin.empty())
+ return 0;
+
+ CAmount debit = 0;
+ if (filter & ISMINE_SPENDABLE) {
+ debit += GetCachableAmount(wallet, wtx, CWalletTx::DEBIT, ISMINE_SPENDABLE);
+ }
+ if (filter & ISMINE_WATCH_ONLY) {
+ debit += GetCachableAmount(wallet, wtx, CWalletTx::DEBIT, ISMINE_WATCH_ONLY);
+ }
+ return debit;
+}
+
+CAmount CachedTxGetChange(const CWallet& wallet, const CWalletTx& wtx)
+{
+ if (wtx.fChangeCached)
+ return wtx.nChangeCached;
+ wtx.nChangeCached = TxGetChange(wallet, *wtx.tx);
+ wtx.fChangeCached = true;
+ return wtx.nChangeCached;
+}
+
+CAmount CachedTxGetImmatureCredit(const CWallet& wallet, const CWalletTx& wtx, bool fUseCache)
+{
+ if (wallet.IsTxImmatureCoinBase(wtx) && wallet.IsTxInMainChain(wtx)) {
+ return GetCachableAmount(wallet, wtx, CWalletTx::IMMATURE_CREDIT, ISMINE_SPENDABLE, !fUseCache);
+ }
+
+ return 0;
+}
+
+CAmount CachedTxGetImmatureWatchOnlyCredit(const CWallet& wallet, const CWalletTx& wtx, const bool fUseCache)
+{
+ if (wallet.IsTxImmatureCoinBase(wtx) && wallet.IsTxInMainChain(wtx)) {
+ return GetCachableAmount(wallet, wtx, CWalletTx::IMMATURE_CREDIT, ISMINE_WATCH_ONLY, !fUseCache);
+ }
+
+ return 0;
+}
+
+CAmount CachedTxGetAvailableCredit(const CWallet& wallet, const CWalletTx& wtx, bool fUseCache, const isminefilter& filter)
+{
+ // Avoid caching ismine for NO or ALL cases (could remove this check and simplify in the future).
+ bool allow_cache = (filter & ISMINE_ALL) && (filter & ISMINE_ALL) != ISMINE_ALL;
+
+ // Must wait until coinbase is safely deep enough in the chain before valuing it
+ if (wallet.IsTxImmatureCoinBase(wtx))
+ return 0;
+
+ if (fUseCache && allow_cache && wtx.m_amounts[CWalletTx::AVAILABLE_CREDIT].m_cached[filter]) {
+ return wtx.m_amounts[CWalletTx::AVAILABLE_CREDIT].m_value[filter];
+ }
+
+ bool allow_used_addresses = (filter & ISMINE_USED) || !wallet.IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE);
+ CAmount nCredit = 0;
+ uint256 hashTx = wtx.GetHash();
+ for (unsigned int i = 0; i < wtx.tx->vout.size(); i++)
+ {
+ if (!wallet.IsSpent(hashTx, i) && (allow_used_addresses || !wallet.IsSpentKey(hashTx, i))) {
+ const CTxOut &txout = wtx.tx->vout[i];
+ nCredit += OutputGetCredit(wallet, txout, filter);
+ if (!MoneyRange(nCredit))
+ throw std::runtime_error(std::string(__func__) + " : value out of range");
+ }
+ }
+
+ if (allow_cache) {
+ wtx.m_amounts[CWalletTx::AVAILABLE_CREDIT].Set(filter, nCredit);
+ wtx.m_is_cache_empty = false;
+ }
+
+ return nCredit;
+}
+
+void CachedTxGetAmounts(const CWallet& wallet, const CWalletTx& wtx,
+ std::list<COutputEntry>& listReceived,
+ std::list<COutputEntry>& listSent, CAmount& nFee, const isminefilter& filter)
+{
+ nFee = 0;
+ listReceived.clear();
+ listSent.clear();
+
+ // Compute fee:
+ CAmount nDebit = CachedTxGetDebit(wallet, wtx, filter);
+ if (nDebit > 0) // debit>0 means we signed/sent this transaction
+ {
+ CAmount nValueOut = wtx.tx->GetValueOut();
+ nFee = nDebit - nValueOut;
+ }
+
+ LOCK(wallet.cs_wallet);
+ // Sent/received.
+ for (unsigned int i = 0; i < wtx.tx->vout.size(); ++i)
+ {
+ const CTxOut& txout = wtx.tx->vout[i];
+ isminetype fIsMine = wallet.IsMine(txout);
+ // Only need to handle txouts if AT LEAST one of these is true:
+ // 1) they debit from us (sent)
+ // 2) the output is to us (received)
+ if (nDebit > 0)
+ {
+ // Don't report 'change' txouts
+ if (OutputIsChange(wallet, txout))
+ continue;
+ }
+ else if (!(fIsMine & filter))
+ continue;
+
+ // In either case, we need to get the destination address
+ CTxDestination address;
+
+ if (!ExtractDestination(txout.scriptPubKey, address) && !txout.scriptPubKey.IsUnspendable())
+ {
+ wallet.WalletLogPrintf("CWalletTx::GetAmounts: Unknown transaction type found, txid %s\n",
+ wtx.GetHash().ToString());
+ address = CNoDestination();
+ }
+
+ COutputEntry output = {address, txout.nValue, (int)i};
+
+ // If we are debited by the transaction, add the output as a "sent" entry
+ if (nDebit > 0)
+ listSent.push_back(output);
+
+ // If we are receiving the output, add it as a "received" entry
+ if (fIsMine & filter)
+ listReceived.push_back(output);
+ }
+
+}
+
+bool CachedTxIsFromMe(const CWallet& wallet, const CWalletTx& wtx, const isminefilter& filter)
+{
+ return (CachedTxGetDebit(wallet, wtx, filter) > 0);
+}
+
+bool CachedTxIsTrusted(const CWallet& wallet, const CWalletTx& wtx, std::set<uint256>& trusted_parents)
+{
+ AssertLockHeld(wallet.cs_wallet);
+ int nDepth = wallet.GetTxDepthInMainChain(wtx);
+ if (nDepth >= 1) return true;
+ if (nDepth < 0) return false;
+ // using wtx's cached debit
+ if (!wallet.m_spend_zero_conf_change || !CachedTxIsFromMe(wallet, wtx, ISMINE_ALL)) return false;
+
+ // Don't trust unconfirmed transactions from us unless they are in the mempool.
+ if (!wtx.InMempool()) return false;
+
+ // Trusted if all inputs are from us and are in the mempool:
+ for (const CTxIn& txin : wtx.tx->vin)
+ {
+ // Transactions not sent by us: not trusted
+ const CWalletTx* parent = wallet.GetWalletTx(txin.prevout.hash);
+ if (parent == nullptr) return false;
+ const CTxOut& parentOut = parent->tx->vout[txin.prevout.n];
+ // Check that this specific input being spent is trusted
+ if (wallet.IsMine(parentOut) != ISMINE_SPENDABLE) return false;
+ // If we've already trusted this parent, continue
+ if (trusted_parents.count(parent->GetHash())) continue;
+ // Recurse to check that the parent is also trusted
+ if (!CachedTxIsTrusted(wallet, *parent, trusted_parents)) return false;
+ trusted_parents.insert(parent->GetHash());
+ }
+ return true;
+}
+
+bool CachedTxIsTrusted(const CWallet& wallet, const CWalletTx& wtx)
+{
+ std::set<uint256> trusted_parents;
+ LOCK(wallet.cs_wallet);
+ return CachedTxIsTrusted(wallet, wtx, trusted_parents);
+}
+
+Balance GetBalance(const CWallet& wallet, const int min_depth, bool avoid_reuse)
+{
+ Balance ret;
+ isminefilter reuse_filter = avoid_reuse ? ISMINE_NO : ISMINE_USED;
+ {
+ LOCK(wallet.cs_wallet);
+ std::set<uint256> trusted_parents;
+ for (const auto& entry : wallet.mapWallet)
+ {
+ const CWalletTx& wtx = entry.second;
+ const bool is_trusted{CachedTxIsTrusted(wallet, wtx, trusted_parents)};
+ const int tx_depth{wallet.GetTxDepthInMainChain(wtx)};
+ const CAmount tx_credit_mine{CachedTxGetAvailableCredit(wallet, wtx, /* fUseCache */ true, ISMINE_SPENDABLE | reuse_filter)};
+ const CAmount tx_credit_watchonly{CachedTxGetAvailableCredit(wallet, wtx, /* fUseCache */ true, ISMINE_WATCH_ONLY | reuse_filter)};
+ if (is_trusted && tx_depth >= min_depth) {
+ ret.m_mine_trusted += tx_credit_mine;
+ ret.m_watchonly_trusted += tx_credit_watchonly;
+ }
+ if (!is_trusted && tx_depth == 0 && wtx.InMempool()) {
+ ret.m_mine_untrusted_pending += tx_credit_mine;
+ ret.m_watchonly_untrusted_pending += tx_credit_watchonly;
+ }
+ ret.m_mine_immature += CachedTxGetImmatureCredit(wallet, wtx);
+ ret.m_watchonly_immature += CachedTxGetImmatureWatchOnlyCredit(wallet, wtx);
+ }
+ }
+ return ret;
+}
+
+std::map<CTxDestination, CAmount> GetAddressBalances(const CWallet& wallet)
+{
+ std::map<CTxDestination, CAmount> balances;
+
+ {
+ LOCK(wallet.cs_wallet);
+ std::set<uint256> trusted_parents;
+ for (const auto& walletEntry : wallet.mapWallet)
+ {
+ const CWalletTx& wtx = walletEntry.second;
+
+ if (!CachedTxIsTrusted(wallet, wtx, trusted_parents))
+ continue;
+
+ if (wallet.IsTxImmatureCoinBase(wtx))
+ continue;
+
+ int nDepth = wallet.GetTxDepthInMainChain(wtx);
+ if (nDepth < (CachedTxIsFromMe(wallet, wtx, ISMINE_ALL) ? 0 : 1))
+ continue;
+
+ for (unsigned int i = 0; i < wtx.tx->vout.size(); i++)
+ {
+ CTxDestination addr;
+ if (!wallet.IsMine(wtx.tx->vout[i]))
+ continue;
+ if(!ExtractDestination(wtx.tx->vout[i].scriptPubKey, addr))
+ continue;
+
+ CAmount n = wallet.IsSpent(walletEntry.first, i) ? 0 : wtx.tx->vout[i].nValue;
+ balances[addr] += n;
+ }
+ }
+ }
+
+ return balances;
+}
+
+std::set< std::set<CTxDestination> > GetAddressGroupings(const CWallet& wallet)
+{
+ AssertLockHeld(wallet.cs_wallet);
+ std::set< std::set<CTxDestination> > groupings;
+ std::set<CTxDestination> grouping;
+
+ for (const auto& walletEntry : wallet.mapWallet)
+ {
+ const CWalletTx& wtx = walletEntry.second;
+
+ if (wtx.tx->vin.size() > 0)
+ {
+ bool any_mine = false;
+ // group all input addresses with each other
+ for (const CTxIn& txin : wtx.tx->vin)
+ {
+ CTxDestination address;
+ if(!InputIsMine(wallet, txin)) /* If this input isn't mine, ignore it */
+ continue;
+ if(!ExtractDestination(wallet.mapWallet.at(txin.prevout.hash).tx->vout[txin.prevout.n].scriptPubKey, address))
+ continue;
+ grouping.insert(address);
+ any_mine = true;
+ }
+
+ // group change with input addresses
+ if (any_mine)
+ {
+ for (const CTxOut& txout : wtx.tx->vout)
+ if (OutputIsChange(wallet, txout))
+ {
+ CTxDestination txoutAddr;
+ if(!ExtractDestination(txout.scriptPubKey, txoutAddr))
+ continue;
+ grouping.insert(txoutAddr);
+ }
+ }
+ if (grouping.size() > 0)
+ {
+ groupings.insert(grouping);
+ grouping.clear();
+ }
+ }
+
+ // group lone addrs by themselves
+ for (const auto& txout : wtx.tx->vout)
+ if (wallet.IsMine(txout))
+ {
+ CTxDestination address;
+ if(!ExtractDestination(txout.scriptPubKey, address))
+ continue;
+ grouping.insert(address);
+ groupings.insert(grouping);
+ grouping.clear();
+ }
+ }
+
+ std::set< std::set<CTxDestination>* > uniqueGroupings; // a set of pointers to groups of addresses
+ std::map< CTxDestination, std::set<CTxDestination>* > setmap; // map addresses to the unique group containing it
+ for (std::set<CTxDestination> _grouping : groupings)
+ {
+ // make a set of all the groups hit by this new group
+ std::set< std::set<CTxDestination>* > hits;
+ std::map< CTxDestination, std::set<CTxDestination>* >::iterator it;
+ for (const CTxDestination& address : _grouping)
+ if ((it = setmap.find(address)) != setmap.end())
+ hits.insert((*it).second);
+
+ // merge all hit groups into a new single group and delete old groups
+ std::set<CTxDestination>* merged = new std::set<CTxDestination>(_grouping);
+ for (std::set<CTxDestination>* hit : hits)
+ {
+ merged->insert(hit->begin(), hit->end());
+ uniqueGroupings.erase(hit);
+ delete hit;
+ }
+ uniqueGroupings.insert(merged);
+
+ // update setmap
+ for (const CTxDestination& element : *merged)
+ setmap[element] = merged;
+ }
+
+ std::set< std::set<CTxDestination> > ret;
+ for (const std::set<CTxDestination>* uniqueGrouping : uniqueGroupings)
+ {
+ ret.insert(*uniqueGrouping);
+ delete uniqueGrouping;
+ }
+
+ return ret;
+}
+} // namespace wallet
diff --git a/src/wallet/receive.h b/src/wallet/receive.h
new file mode 100644
index 0000000000..d7705b5262
--- /dev/null
+++ b/src/wallet/receive.h
@@ -0,0 +1,66 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_WALLET_RECEIVE_H
+#define BITCOIN_WALLET_RECEIVE_H
+
+#include <consensus/amount.h>
+#include <wallet/ismine.h>
+#include <wallet/transaction.h>
+#include <wallet/wallet.h>
+
+namespace wallet {
+isminetype InputIsMine(const CWallet& wallet, const CTxIn& txin) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+
+/** Returns whether all of the inputs match the filter */
+bool AllInputsMine(const CWallet& wallet, const CTransaction& tx, const isminefilter& filter);
+
+CAmount OutputGetCredit(const CWallet& wallet, const CTxOut& txout, const isminefilter& filter);
+CAmount TxGetCredit(const CWallet& wallet, const CTransaction& tx, const isminefilter& filter);
+
+bool ScriptIsChange(const CWallet& wallet, const CScript& script) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+bool OutputIsChange(const CWallet& wallet, const CTxOut& txout) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+CAmount OutputGetChange(const CWallet& wallet, const CTxOut& txout) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+CAmount TxGetChange(const CWallet& wallet, const CTransaction& tx);
+
+CAmount CachedTxGetCredit(const CWallet& wallet, const CWalletTx& wtx, const isminefilter& filter);
+//! filter decides which addresses will count towards the debit
+CAmount CachedTxGetDebit(const CWallet& wallet, const CWalletTx& wtx, const isminefilter& filter);
+CAmount CachedTxGetChange(const CWallet& wallet, const CWalletTx& wtx);
+CAmount CachedTxGetImmatureCredit(const CWallet& wallet, const CWalletTx& wtx, bool fUseCache = true);
+CAmount CachedTxGetImmatureWatchOnlyCredit(const CWallet& wallet, const CWalletTx& wtx, const bool fUseCache = true);
+// TODO: Remove "NO_THREAD_SAFETY_ANALYSIS" and replace it with the correct
+// annotation "EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)". The
+// annotation "NO_THREAD_SAFETY_ANALYSIS" was temporarily added to avoid
+// having to resolve the issue of member access into incomplete type CWallet.
+CAmount CachedTxGetAvailableCredit(const CWallet& wallet, const CWalletTx& wtx, bool fUseCache = true, const isminefilter& filter = ISMINE_SPENDABLE) NO_THREAD_SAFETY_ANALYSIS;
+struct COutputEntry
+{
+ CTxDestination destination;
+ CAmount amount;
+ int vout;
+};
+void CachedTxGetAmounts(const CWallet& wallet, const CWalletTx& wtx,
+ std::list<COutputEntry>& listReceived,
+ std::list<COutputEntry>& listSent,
+ CAmount& nFee, const isminefilter& filter);
+bool CachedTxIsFromMe(const CWallet& wallet, const CWalletTx& wtx, const isminefilter& filter);
+bool CachedTxIsTrusted(const CWallet& wallet, const CWalletTx& wtx, std::set<uint256>& trusted_parents) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+bool CachedTxIsTrusted(const CWallet& wallet, const CWalletTx& wtx);
+
+struct Balance {
+ CAmount m_mine_trusted{0}; //!< Trusted, at depth=GetBalance.min_depth or more
+ CAmount m_mine_untrusted_pending{0}; //!< Untrusted, but in mempool (pending)
+ CAmount m_mine_immature{0}; //!< Immature coinbases in the main chain
+ CAmount m_watchonly_trusted{0};
+ CAmount m_watchonly_untrusted_pending{0};
+ CAmount m_watchonly_immature{0};
+};
+Balance GetBalance(const CWallet& wallet, int min_depth = 0, bool avoid_reuse = true);
+
+std::map<CTxDestination, CAmount> GetAddressBalances(const CWallet& wallet);
+std::set<std::set<CTxDestination>> GetAddressGroupings(const CWallet& wallet) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+} // namespace wallet
+
+#endif // BITCOIN_WALLET_RECEIVE_H
diff --git a/src/wallet/rpc/addresses.cpp b/src/wallet/rpc/addresses.cpp
new file mode 100644
index 0000000000..51587a64a3
--- /dev/null
+++ b/src/wallet/rpc/addresses.cpp
@@ -0,0 +1,806 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <core_io.h>
+#include <key_io.h>
+#include <rpc/util.h>
+#include <util/bip32.h>
+#include <util/translation.h>
+#include <wallet/receive.h>
+#include <wallet/rpc/util.h>
+#include <wallet/wallet.h>
+
+#include <univalue.h>
+
+namespace wallet {
+RPCHelpMan getnewaddress()
+{
+ return RPCHelpMan{"getnewaddress",
+ "\nReturns a new Bitcoin address for receiving payments.\n"
+ "If 'label' is specified, it is added to the address book \n"
+ "so payments received with the address will be associated with 'label'.\n",
+ {
+ {"label", RPCArg::Type::STR, RPCArg::Default{""}, "The label name for the address to be linked to. It can also be set to the empty string \"\" to represent the default label. The label does not need to exist, it will be created if there is no label by the given name."},
+ {"address_type", RPCArg::Type::STR, RPCArg::DefaultHint{"set by -addresstype"}, "The address type to use. Options are \"legacy\", \"p2sh-segwit\", \"bech32\", and \"bech32m\"."},
+ },
+ RPCResult{
+ RPCResult::Type::STR, "address", "The new bitcoin address"
+ },
+ RPCExamples{
+ HelpExampleCli("getnewaddress", "")
+ + HelpExampleRpc("getnewaddress", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ if (!pwallet->CanGetAddresses()) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Error: This wallet has no available keys");
+ }
+
+ // Parse the label first so we don't generate a key if there's an error
+ std::string label;
+ if (!request.params[0].isNull())
+ label = LabelFromValue(request.params[0]);
+
+ OutputType output_type = pwallet->m_default_address_type;
+ if (!request.params[1].isNull()) {
+ std::optional<OutputType> parsed = ParseOutputType(request.params[1].get_str());
+ if (!parsed) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown address type '%s'", request.params[1].get_str()));
+ } else if (parsed.value() == OutputType::BECH32M && pwallet->GetLegacyScriptPubKeyMan()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Legacy wallets cannot provide bech32m addresses");
+ }
+ output_type = parsed.value();
+ }
+
+ CTxDestination dest;
+ bilingual_str error;
+ if (!pwallet->GetNewDestination(output_type, label, dest, error)) {
+ throw JSONRPCError(RPC_WALLET_KEYPOOL_RAN_OUT, error.original);
+ }
+
+ return EncodeDestination(dest);
+},
+ };
+}
+
+RPCHelpMan getrawchangeaddress()
+{
+ return RPCHelpMan{"getrawchangeaddress",
+ "\nReturns a new Bitcoin address, for receiving change.\n"
+ "This is for use with raw transactions, NOT normal use.\n",
+ {
+ {"address_type", RPCArg::Type::STR, RPCArg::DefaultHint{"set by -changetype"}, "The address type to use. Options are \"legacy\", \"p2sh-segwit\", \"bech32\", and \"bech32m\"."},
+ },
+ RPCResult{
+ RPCResult::Type::STR, "address", "The address"
+ },
+ RPCExamples{
+ HelpExampleCli("getrawchangeaddress", "")
+ + HelpExampleRpc("getrawchangeaddress", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ if (!pwallet->CanGetAddresses(true)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Error: This wallet has no available keys");
+ }
+
+ OutputType output_type = pwallet->m_default_change_type.value_or(pwallet->m_default_address_type);
+ if (!request.params[0].isNull()) {
+ std::optional<OutputType> parsed = ParseOutputType(request.params[0].get_str());
+ if (!parsed) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown address type '%s'", request.params[0].get_str()));
+ } else if (parsed.value() == OutputType::BECH32M && pwallet->GetLegacyScriptPubKeyMan()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Legacy wallets cannot provide bech32m addresses");
+ }
+ output_type = parsed.value();
+ }
+
+ CTxDestination dest;
+ bilingual_str error;
+ if (!pwallet->GetNewChangeDestination(output_type, dest, error)) {
+ throw JSONRPCError(RPC_WALLET_KEYPOOL_RAN_OUT, error.original);
+ }
+ return EncodeDestination(dest);
+},
+ };
+}
+
+
+RPCHelpMan setlabel()
+{
+ return RPCHelpMan{"setlabel",
+ "\nSets the label associated with the given address.\n",
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to be associated with a label."},
+ {"label", RPCArg::Type::STR, RPCArg::Optional::NO, "The label to assign to the address."},
+ },
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("setlabel", "\"" + EXAMPLE_ADDRESS[0] + "\" \"tabby\"")
+ + HelpExampleRpc("setlabel", "\"" + EXAMPLE_ADDRESS[0] + "\", \"tabby\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ CTxDestination dest = DecodeDestination(request.params[0].get_str());
+ if (!IsValidDestination(dest)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid Bitcoin address");
+ }
+
+ std::string label = LabelFromValue(request.params[1]);
+
+ if (pwallet->IsMine(dest)) {
+ pwallet->SetAddressBook(dest, label, "receive");
+ } else {
+ pwallet->SetAddressBook(dest, label, "send");
+ }
+
+ return NullUniValue;
+},
+ };
+}
+
+RPCHelpMan listaddressgroupings()
+{
+ return RPCHelpMan{"listaddressgroupings",
+ "\nLists groups of addresses which have had their common ownership\n"
+ "made public by common use as inputs or as the resulting change\n"
+ "in past transactions\n",
+ {},
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::ARR_FIXED, "", "",
+ {
+ {RPCResult::Type::STR, "address", "The bitcoin address"},
+ {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT},
+ {RPCResult::Type::STR, "label", /*optional=*/true, "The label"},
+ }},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("listaddressgroupings", "")
+ + HelpExampleRpc("listaddressgroupings", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ UniValue jsonGroupings(UniValue::VARR);
+ std::map<CTxDestination, CAmount> balances = GetAddressBalances(*pwallet);
+ for (const std::set<CTxDestination>& grouping : GetAddressGroupings(*pwallet)) {
+ UniValue jsonGrouping(UniValue::VARR);
+ for (const CTxDestination& address : grouping)
+ {
+ UniValue addressInfo(UniValue::VARR);
+ addressInfo.push_back(EncodeDestination(address));
+ addressInfo.push_back(ValueFromAmount(balances[address]));
+ {
+ const auto* address_book_entry = pwallet->FindAddressBookEntry(address);
+ if (address_book_entry) {
+ addressInfo.push_back(address_book_entry->GetLabel());
+ }
+ }
+ jsonGrouping.push_back(addressInfo);
+ }
+ jsonGroupings.push_back(jsonGrouping);
+ }
+ return jsonGroupings;
+},
+ };
+}
+
+RPCHelpMan addmultisigaddress()
+{
+ return RPCHelpMan{"addmultisigaddress",
+ "\nAdd an nrequired-to-sign multisignature address to the wallet. Requires a new wallet backup.\n"
+ "Each key is a Bitcoin address or hex-encoded public key.\n"
+ "This functionality is only intended for use with non-watchonly addresses.\n"
+ "See `importaddress` for watchonly p2sh address support.\n"
+ "If 'label' is specified, assign address to that label.\n",
+ {
+ {"nrequired", RPCArg::Type::NUM, RPCArg::Optional::NO, "The number of required signatures out of the n keys or addresses."},
+ {"keys", RPCArg::Type::ARR, RPCArg::Optional::NO, "The bitcoin addresses or hex-encoded public keys",
+ {
+ {"key", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "bitcoin address or hex-encoded public key"},
+ },
+ },
+ {"label", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A label to assign the addresses to."},
+ {"address_type", RPCArg::Type::STR, RPCArg::DefaultHint{"set by -addresstype"}, "The address type to use. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "address", "The value of the new multisig address"},
+ {RPCResult::Type::STR_HEX, "redeemScript", "The string value of the hex-encoded redemption script"},
+ {RPCResult::Type::STR, "descriptor", "The descriptor for this multisig"},
+ {RPCResult::Type::ARR, "warnings", /* optional */ true, "Any warnings resulting from the creation of this multisig",
+ {
+ {RPCResult::Type::STR, "", ""},
+ }},
+ }
+ },
+ RPCExamples{
+ "\nAdd a multisig address from 2 addresses\n"
+ + HelpExampleCli("addmultisigaddress", "2 \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("addmultisigaddress", "2, \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LegacyScriptPubKeyMan& spk_man = EnsureLegacyScriptPubKeyMan(*pwallet);
+
+ LOCK2(pwallet->cs_wallet, spk_man.cs_KeyStore);
+
+ std::string label;
+ if (!request.params[2].isNull())
+ label = LabelFromValue(request.params[2]);
+
+ int required = request.params[0].get_int();
+
+ // Get the public keys
+ const UniValue& keys_or_addrs = request.params[1].get_array();
+ std::vector<CPubKey> pubkeys;
+ for (unsigned int i = 0; i < keys_or_addrs.size(); ++i) {
+ if (IsHex(keys_or_addrs[i].get_str()) && (keys_or_addrs[i].get_str().length() == 66 || keys_or_addrs[i].get_str().length() == 130)) {
+ pubkeys.push_back(HexToPubKey(keys_or_addrs[i].get_str()));
+ } else {
+ pubkeys.push_back(AddrToPubKey(spk_man, keys_or_addrs[i].get_str()));
+ }
+ }
+
+ OutputType output_type = pwallet->m_default_address_type;
+ if (!request.params[3].isNull()) {
+ std::optional<OutputType> parsed = ParseOutputType(request.params[3].get_str());
+ if (!parsed) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown address type '%s'", request.params[3].get_str()));
+ } else if (parsed.value() == OutputType::BECH32M) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Bech32m multisig addresses cannot be created with legacy wallets");
+ }
+ output_type = parsed.value();
+ }
+
+ // Construct using pay-to-script-hash:
+ CScript inner;
+ CTxDestination dest = AddAndGetMultisigDestination(required, pubkeys, output_type, spk_man, inner);
+ pwallet->SetAddressBook(dest, label, "send");
+
+ // Make the descriptor
+ std::unique_ptr<Descriptor> descriptor = InferDescriptor(GetScriptForDestination(dest), spk_man);
+
+ UniValue result(UniValue::VOBJ);
+ result.pushKV("address", EncodeDestination(dest));
+ result.pushKV("redeemScript", HexStr(inner));
+ result.pushKV("descriptor", descriptor->ToString());
+
+ UniValue warnings(UniValue::VARR);
+ if (!request.params[3].isNull() && OutputTypeFromDestination(dest) != output_type) {
+ // Only warns if the user has explicitly chosen an address type we cannot generate
+ warnings.push_back("Unable to make chosen address type, please ensure no uncompressed public keys are present.");
+ }
+ if (warnings.size()) result.pushKV("warnings", warnings);
+
+ return result;
+},
+ };
+}
+
+RPCHelpMan keypoolrefill()
+{
+ return RPCHelpMan{"keypoolrefill",
+ "\nFills the keypool."+
+ HELP_REQUIRING_PASSPHRASE,
+ {
+ {"newsize", RPCArg::Type::NUM, RPCArg::DefaultHint{strprintf("%u, or as set by -keypool", DEFAULT_KEYPOOL_SIZE)}, "The new keypool size"},
+ },
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("keypoolrefill", "")
+ + HelpExampleRpc("keypoolrefill", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ if (pwallet->IsLegacy() && pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Error: Private keys are disabled for this wallet");
+ }
+
+ LOCK(pwallet->cs_wallet);
+
+ // 0 is interpreted by TopUpKeyPool() as the default keypool size given by -keypool
+ unsigned int kpSize = 0;
+ if (!request.params[0].isNull()) {
+ if (request.params[0].get_int() < 0)
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, expected valid size.");
+ kpSize = (unsigned int)request.params[0].get_int();
+ }
+
+ EnsureWalletIsUnlocked(*pwallet);
+ pwallet->TopUpKeyPool(kpSize);
+
+ if (pwallet->GetKeyPoolSize() < kpSize) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Error refreshing keypool.");
+ }
+
+ return NullUniValue;
+},
+ };
+}
+
+RPCHelpMan newkeypool()
+{
+ return RPCHelpMan{"newkeypool",
+ "\nEntirely clears and refills the keypool.\n"
+ "WARNING: On non-HD wallets, this will require a new backup immediately, to include the new keys.\n"
+ "When restoring a backup of an HD wallet created before the newkeypool command is run, funds received to\n"
+ "new addresses may not appear automatically. They have not been lost, but the wallet may not find them.\n"
+ "This can be fixed by running the newkeypool command on the backup and then rescanning, so the wallet\n"
+ "re-generates the required keys." +
+ HELP_REQUIRING_PASSPHRASE,
+ {},
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("newkeypool", "")
+ + HelpExampleRpc("newkeypool", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ LegacyScriptPubKeyMan& spk_man = EnsureLegacyScriptPubKeyMan(*pwallet, true);
+ spk_man.NewKeyPool();
+
+ return NullUniValue;
+},
+ };
+}
+
+
+class DescribeWalletAddressVisitor
+{
+public:
+ const SigningProvider * const provider;
+
+ void ProcessSubScript(const CScript& subscript, UniValue& obj) const
+ {
+ // Always present: script type and redeemscript
+ std::vector<std::vector<unsigned char>> solutions_data;
+ TxoutType which_type = Solver(subscript, solutions_data);
+ obj.pushKV("script", GetTxnOutputType(which_type));
+ obj.pushKV("hex", HexStr(subscript));
+
+ CTxDestination embedded;
+ if (ExtractDestination(subscript, embedded)) {
+ // Only when the script corresponds to an address.
+ UniValue subobj(UniValue::VOBJ);
+ UniValue detail = DescribeAddress(embedded);
+ subobj.pushKVs(detail);
+ UniValue wallet_detail = std::visit(*this, embedded);
+ subobj.pushKVs(wallet_detail);
+ subobj.pushKV("address", EncodeDestination(embedded));
+ subobj.pushKV("scriptPubKey", HexStr(subscript));
+ // Always report the pubkey at the top level, so that `getnewaddress()['pubkey']` always works.
+ if (subobj.exists("pubkey")) obj.pushKV("pubkey", subobj["pubkey"]);
+ obj.pushKV("embedded", std::move(subobj));
+ } else if (which_type == TxoutType::MULTISIG) {
+ // Also report some information on multisig scripts (which do not have a corresponding address).
+ obj.pushKV("sigsrequired", solutions_data[0][0]);
+ UniValue pubkeys(UniValue::VARR);
+ for (size_t i = 1; i < solutions_data.size() - 1; ++i) {
+ CPubKey key(solutions_data[i].begin(), solutions_data[i].end());
+ pubkeys.push_back(HexStr(key));
+ }
+ obj.pushKV("pubkeys", std::move(pubkeys));
+ }
+ }
+
+ explicit DescribeWalletAddressVisitor(const SigningProvider* _provider) : provider(_provider) {}
+
+ UniValue operator()(const CNoDestination& dest) const { return UniValue(UniValue::VOBJ); }
+
+ UniValue operator()(const PKHash& pkhash) const
+ {
+ CKeyID keyID{ToKeyID(pkhash)};
+ UniValue obj(UniValue::VOBJ);
+ CPubKey vchPubKey;
+ if (provider && provider->GetPubKey(keyID, vchPubKey)) {
+ obj.pushKV("pubkey", HexStr(vchPubKey));
+ obj.pushKV("iscompressed", vchPubKey.IsCompressed());
+ }
+ return obj;
+ }
+
+ UniValue operator()(const ScriptHash& scripthash) const
+ {
+ CScriptID scriptID(scripthash);
+ UniValue obj(UniValue::VOBJ);
+ CScript subscript;
+ if (provider && provider->GetCScript(scriptID, subscript)) {
+ ProcessSubScript(subscript, obj);
+ }
+ return obj;
+ }
+
+ UniValue operator()(const WitnessV0KeyHash& id) const
+ {
+ UniValue obj(UniValue::VOBJ);
+ CPubKey pubkey;
+ if (provider && provider->GetPubKey(ToKeyID(id), pubkey)) {
+ obj.pushKV("pubkey", HexStr(pubkey));
+ }
+ return obj;
+ }
+
+ UniValue operator()(const WitnessV0ScriptHash& id) const
+ {
+ UniValue obj(UniValue::VOBJ);
+ CScript subscript;
+ CRIPEMD160 hasher;
+ uint160 hash;
+ hasher.Write(id.begin(), 32).Finalize(hash.begin());
+ if (provider && provider->GetCScript(CScriptID(hash), subscript)) {
+ ProcessSubScript(subscript, obj);
+ }
+ return obj;
+ }
+
+ UniValue operator()(const WitnessV1Taproot& id) const { return UniValue(UniValue::VOBJ); }
+ UniValue operator()(const WitnessUnknown& id) const { return UniValue(UniValue::VOBJ); }
+};
+
+static UniValue DescribeWalletAddress(const CWallet& wallet, const CTxDestination& dest)
+{
+ UniValue ret(UniValue::VOBJ);
+ UniValue detail = DescribeAddress(dest);
+ CScript script = GetScriptForDestination(dest);
+ std::unique_ptr<SigningProvider> provider = nullptr;
+ provider = wallet.GetSolvingProvider(script);
+ ret.pushKVs(detail);
+ ret.pushKVs(std::visit(DescribeWalletAddressVisitor(provider.get()), dest));
+ return ret;
+}
+
+RPCHelpMan getaddressinfo()
+{
+ return RPCHelpMan{"getaddressinfo",
+ "\nReturn information about the given bitcoin address.\n"
+ "Some of the information will only be present if the address is in the active wallet.\n",
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address for which to get information."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "address", "The bitcoin address validated."},
+ {RPCResult::Type::STR_HEX, "scriptPubKey", "The hex-encoded scriptPubKey generated by the address."},
+ {RPCResult::Type::BOOL, "ismine", "If the address is yours."},
+ {RPCResult::Type::BOOL, "iswatchonly", "If the address is watchonly."},
+ {RPCResult::Type::BOOL, "solvable", "If we know how to spend coins sent to this address, ignoring the possible lack of private keys."},
+ {RPCResult::Type::STR, "desc", /*optional=*/true, "A descriptor for spending coins sent to this address (only when solvable)."},
+ {RPCResult::Type::STR, "parent_desc", /*optional=*/true, "The descriptor used to derive this address if this is a descriptor wallet"},
+ {RPCResult::Type::BOOL, "isscript", "If the key is a script."},
+ {RPCResult::Type::BOOL, "ischange", "If the address was used for change output."},
+ {RPCResult::Type::BOOL, "iswitness", "If the address is a witness address."},
+ {RPCResult::Type::NUM, "witness_version", /*optional=*/true, "The version number of the witness program."},
+ {RPCResult::Type::STR_HEX, "witness_program", /*optional=*/true, "The hex value of the witness program."},
+ {RPCResult::Type::STR, "script", /*optional=*/true, "The output script type. Only if isscript is true and the redeemscript is known. Possible\n"
+ "types: nonstandard, pubkey, pubkeyhash, scripthash, multisig, nulldata, witness_v0_keyhash,\n"
+ "witness_v0_scripthash, witness_unknown."},
+ {RPCResult::Type::STR_HEX, "hex", /*optional=*/true, "The redeemscript for the p2sh address."},
+ {RPCResult::Type::ARR, "pubkeys", /*optional=*/true, "Array of pubkeys associated with the known redeemscript (only if script is multisig).",
+ {
+ {RPCResult::Type::STR, "pubkey", ""},
+ }},
+ {RPCResult::Type::NUM, "sigsrequired", /*optional=*/true, "The number of signatures required to spend multisig output (only if script is multisig)."},
+ {RPCResult::Type::STR_HEX, "pubkey", /*optional=*/true, "The hex value of the raw public key for single-key addresses (possibly embedded in P2SH or P2WSH)."},
+ {RPCResult::Type::OBJ, "embedded", /*optional=*/true, "Information about the address embedded in P2SH or P2WSH, if relevant and known.",
+ {
+ {RPCResult::Type::ELISION, "", "Includes all getaddressinfo output fields for the embedded address, excluding metadata (timestamp, hdkeypath, hdseedid)\n"
+ "and relation to the wallet (ismine, iswatchonly)."},
+ }},
+ {RPCResult::Type::BOOL, "iscompressed", /*optional=*/true, "If the pubkey is compressed."},
+ {RPCResult::Type::NUM_TIME, "timestamp", /*optional=*/true, "The creation time of the key, if available, expressed in " + UNIX_EPOCH_TIME + "."},
+ {RPCResult::Type::STR, "hdkeypath", /*optional=*/true, "The HD keypath, if the key is HD and available."},
+ {RPCResult::Type::STR_HEX, "hdseedid", /*optional=*/true, "The Hash160 of the HD seed."},
+ {RPCResult::Type::STR_HEX, "hdmasterfingerprint", /*optional=*/true, "The fingerprint of the master key."},
+ {RPCResult::Type::ARR, "labels", "Array of labels associated with the address. Currently limited to one label but returned\n"
+ "as an array to keep the API stable if multiple labels are enabled in the future.",
+ {
+ {RPCResult::Type::STR, "label name", "Label name (defaults to \"\")."},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("getaddressinfo", "\"" + EXAMPLE_ADDRESS[0] + "\"") +
+ HelpExampleRpc("getaddressinfo", "\"" + EXAMPLE_ADDRESS[0] + "\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ std::string error_msg;
+ CTxDestination dest = DecodeDestination(request.params[0].get_str(), error_msg);
+
+ // Make sure the destination is valid
+ if (!IsValidDestination(dest)) {
+ // Set generic error message in case 'DecodeDestination' didn't set it
+ if (error_msg.empty()) error_msg = "Invalid address";
+
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, error_msg);
+ }
+
+ UniValue ret(UniValue::VOBJ);
+
+ std::string currentAddress = EncodeDestination(dest);
+ ret.pushKV("address", currentAddress);
+
+ CScript scriptPubKey = GetScriptForDestination(dest);
+ ret.pushKV("scriptPubKey", HexStr(scriptPubKey));
+
+ std::unique_ptr<SigningProvider> provider = pwallet->GetSolvingProvider(scriptPubKey);
+
+ isminetype mine = pwallet->IsMine(dest);
+ ret.pushKV("ismine", bool(mine & ISMINE_SPENDABLE));
+
+ if (provider) {
+ auto inferred = InferDescriptor(scriptPubKey, *provider);
+ bool solvable = inferred->IsSolvable() || IsSolvable(*provider, scriptPubKey);
+ ret.pushKV("solvable", solvable);
+ if (solvable) {
+ ret.pushKV("desc", inferred->ToString());
+ }
+ } else {
+ ret.pushKV("solvable", false);
+ }
+
+ const auto& spk_mans = pwallet->GetScriptPubKeyMans(scriptPubKey);
+ // In most cases there is only one matching ScriptPubKey manager and we can't resolve ambiguity in a better way
+ ScriptPubKeyMan* spk_man{nullptr};
+ if (spk_mans.size()) spk_man = *spk_mans.begin();
+
+ DescriptorScriptPubKeyMan* desc_spk_man = dynamic_cast<DescriptorScriptPubKeyMan*>(spk_man);
+ if (desc_spk_man) {
+ std::string desc_str;
+ if (desc_spk_man->GetDescriptorString(desc_str, /* priv */ false)) {
+ ret.pushKV("parent_desc", desc_str);
+ }
+ }
+
+ ret.pushKV("iswatchonly", bool(mine & ISMINE_WATCH_ONLY));
+
+ UniValue detail = DescribeWalletAddress(*pwallet, dest);
+ ret.pushKVs(detail);
+
+ ret.pushKV("ischange", ScriptIsChange(*pwallet, scriptPubKey));
+
+ if (spk_man) {
+ if (const std::unique_ptr<CKeyMetadata> meta = spk_man->GetMetadata(dest)) {
+ ret.pushKV("timestamp", meta->nCreateTime);
+ if (meta->has_key_origin) {
+ ret.pushKV("hdkeypath", WriteHDKeypath(meta->key_origin.path));
+ ret.pushKV("hdseedid", meta->hd_seed_id.GetHex());
+ ret.pushKV("hdmasterfingerprint", HexStr(meta->key_origin.fingerprint));
+ }
+ }
+ }
+
+ // Return a `labels` array containing the label associated with the address,
+ // equivalent to the `label` field above. Currently only one label can be
+ // associated with an address, but we return an array so the API remains
+ // stable if we allow multiple labels to be associated with an address in
+ // the future.
+ UniValue labels(UniValue::VARR);
+ const auto* address_book_entry = pwallet->FindAddressBookEntry(dest);
+ if (address_book_entry) {
+ labels.push_back(address_book_entry->GetLabel());
+ }
+ ret.pushKV("labels", std::move(labels));
+
+ return ret;
+},
+ };
+}
+
+/** Convert CAddressBookData to JSON record. */
+static UniValue AddressBookDataToJSON(const CAddressBookData& data, const bool verbose)
+{
+ UniValue ret(UniValue::VOBJ);
+ if (verbose) {
+ ret.pushKV("name", data.GetLabel());
+ }
+ ret.pushKV("purpose", data.purpose);
+ return ret;
+}
+
+RPCHelpMan getaddressesbylabel()
+{
+ return RPCHelpMan{"getaddressesbylabel",
+ "\nReturns the list of addresses assigned the specified label.\n",
+ {
+ {"label", RPCArg::Type::STR, RPCArg::Optional::NO, "The label."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ_DYN, "", "json object with addresses as keys",
+ {
+ {RPCResult::Type::OBJ, "address", "json object with information about address",
+ {
+ {RPCResult::Type::STR, "purpose", "Purpose of address (\"send\" for sending address, \"receive\" for receiving address)"},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("getaddressesbylabel", "\"tabby\"")
+ + HelpExampleRpc("getaddressesbylabel", "\"tabby\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ std::string label = LabelFromValue(request.params[0]);
+
+ // Find all addresses that have the given label
+ UniValue ret(UniValue::VOBJ);
+ std::set<std::string> addresses;
+ for (const std::pair<const CTxDestination, CAddressBookData>& item : pwallet->m_address_book) {
+ if (item.second.IsChange()) continue;
+ if (item.second.GetLabel() == label) {
+ std::string address = EncodeDestination(item.first);
+ // CWallet::m_address_book is not expected to contain duplicate
+ // address strings, but build a separate set as a precaution just in
+ // case it does.
+ bool unique = addresses.emplace(address).second;
+ CHECK_NONFATAL(unique);
+ // UniValue::pushKV checks if the key exists in O(N)
+ // and since duplicate addresses are unexpected (checked with
+ // std::set in O(log(N))), UniValue::__pushKV is used instead,
+ // which currently is O(1).
+ ret.__pushKV(address, AddressBookDataToJSON(item.second, false));
+ }
+ }
+
+ if (ret.empty()) {
+ throw JSONRPCError(RPC_WALLET_INVALID_LABEL_NAME, std::string("No addresses with label " + label));
+ }
+
+ return ret;
+},
+ };
+}
+
+RPCHelpMan listlabels()
+{
+ return RPCHelpMan{"listlabels",
+ "\nReturns the list of all labels, or labels that are assigned to addresses with a specific purpose.\n",
+ {
+ {"purpose", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "Address purpose to list labels for ('send','receive'). An empty string is the same as not providing this argument."},
+ },
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::STR, "label", "Label name"},
+ }
+ },
+ RPCExamples{
+ "\nList all labels\n"
+ + HelpExampleCli("listlabels", "") +
+ "\nList labels that have receiving addresses\n"
+ + HelpExampleCli("listlabels", "receive") +
+ "\nList labels that have sending addresses\n"
+ + HelpExampleCli("listlabels", "send") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("listlabels", "receive")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ std::string purpose;
+ if (!request.params[0].isNull()) {
+ purpose = request.params[0].get_str();
+ }
+
+ // Add to a set to sort by label name, then insert into Univalue array
+ std::set<std::string> label_set;
+ for (const std::pair<const CTxDestination, CAddressBookData>& entry : pwallet->m_address_book) {
+ if (entry.second.IsChange()) continue;
+ if (purpose.empty() || entry.second.purpose == purpose) {
+ label_set.insert(entry.second.GetLabel());
+ }
+ }
+
+ UniValue ret(UniValue::VARR);
+ for (const std::string& name : label_set) {
+ ret.push_back(name);
+ }
+
+ return ret;
+},
+ };
+}
+
+
+#ifdef ENABLE_EXTERNAL_SIGNER
+RPCHelpMan walletdisplayaddress()
+{
+ return RPCHelpMan{
+ "walletdisplayaddress",
+ "Display address on an external signer for verification.",
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "bitcoin address to display"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ,"","",
+ {
+ {RPCResult::Type::STR, "address", "The address as confirmed by the signer"},
+ }
+ },
+ RPCExamples{""},
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+ {
+ std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
+ if (!wallet) return NullUniValue;
+ CWallet* const pwallet = wallet.get();
+
+ LOCK(pwallet->cs_wallet);
+
+ CTxDestination dest = DecodeDestination(request.params[0].get_str());
+
+ // Make sure the destination is valid
+ if (!IsValidDestination(dest)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid address");
+ }
+
+ if (!pwallet->DisplayAddress(dest)) {
+ throw JSONRPCError(RPC_MISC_ERROR, "Failed to display address");
+ }
+
+ UniValue result(UniValue::VOBJ);
+ result.pushKV("address", request.params[0].get_str());
+ return result;
+ }
+ };
+}
+#endif // ENABLE_EXTERNAL_SIGNER
+} // namespace wallet
diff --git a/src/wallet/rpcdump.cpp b/src/wallet/rpc/backup.cpp
index a2872f10ae..228564fae4 100644
--- a/src/wallet/rpcdump.cpp
+++ b/src/wallet/rpc/backup.cpp
@@ -1,9 +1,11 @@
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <chain.h>
+#include <clientversion.h>
#include <core_io.h>
+#include <fs.h>
#include <interfaces/chain.h>
#include <key_io.h>
#include <merkleblock.h>
@@ -16,11 +18,13 @@
#include <util/system.h>
#include <util/time.h>
#include <util/translation.h>
-#include <wallet/rpcwallet.h>
+#include <wallet/rpc/util.h>
#include <wallet/wallet.h>
-#include <stdint.h>
+#include <cstdint>
+#include <fstream>
#include <tuple>
+#include <string>
#include <boost/algorithm/string.hpp>
@@ -30,11 +34,12 @@
using interfaces::FoundBlock;
+namespace wallet {
std::string static EncodeDumpString(const std::string &str) {
std::stringstream ret;
for (const unsigned char c : str) {
if (c <= 32 || c >= 128 || c == '%') {
- ret << '%' << HexStr(Span<const unsigned char>(&c, 1));
+ ret << '%' << HexStr({&c, 1});
} else {
ret << c;
}
@@ -56,13 +61,13 @@ static std::string DecodeDumpString(const std::string &str) {
return ret.str();
}
-static bool GetWalletAddressesForKey(LegacyScriptPubKeyMan* spk_man, const CWallet* const pwallet, const CKeyID& keyid, std::string& strAddr, std::string& strLabel) EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)
+static bool GetWalletAddressesForKey(const LegacyScriptPubKeyMan* spk_man, const CWallet& wallet, const CKeyID& keyid, std::string& strAddr, std::string& strLabel) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
{
bool fLabelFound = false;
CKey key;
spk_man->GetKey(keyid, key);
for (const auto& dest : GetAllDestinationsForKey(key.GetPubKey())) {
- const auto* address_book_entry = pwallet->FindAddressBookEntry(dest);
+ const auto* address_book_entry = wallet.FindAddressBookEntry(dest);
if (address_book_entry) {
if (!strAddr.empty()) {
strAddr += ",";
@@ -73,7 +78,7 @@ static bool GetWalletAddressesForKey(LegacyScriptPubKeyMan* spk_man, const CWall
}
}
if (!fLabelFound) {
- strAddr = EncodeDestination(GetDestinationForKey(key.GetPubKey(), pwallet->m_default_address_type));
+ strAddr = EncodeDestination(GetDestinationForKey(key.GetPubKey(), wallet.m_default_address_type));
}
return fLabelFound;
}
@@ -100,8 +105,8 @@ RPCHelpMan importprivkey()
"Note: Use \"getwalletinfo\" to query the scanning progress.\n",
{
{"privkey", RPCArg::Type::STR, RPCArg::Optional::NO, "The private key (see dumpprivkey)"},
- {"label", RPCArg::Type::STR, /* default */ "current label if address exists, otherwise \"\"", "An optional label"},
- {"rescan", RPCArg::Type::BOOL, /* default */ "true", "Rescan the wallet for transactions"},
+ {"label", RPCArg::Type::STR, RPCArg::DefaultHint{"current label if address exists, otherwise \"\""}, "An optional label"},
+ {"rescan", RPCArg::Type::BOOL, RPCArg::Default{true}, "Rescan the wallet for transactions"},
},
RPCResult{RPCResult::Type::NONE, "", ""},
RPCExamples{
@@ -118,22 +123,21 @@ RPCHelpMan importprivkey()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
throw JSONRPCError(RPC_WALLET_ERROR, "Cannot import private keys to a wallet with private keys disabled");
}
- EnsureLegacyScriptPubKeyMan(*wallet, true);
+ EnsureLegacyScriptPubKeyMan(*pwallet, true);
WalletRescanReserver reserver(*pwallet);
bool fRescan = true;
{
LOCK(pwallet->cs_wallet);
- EnsureWalletIsUnlocked(pwallet);
+ EnsureWalletIsUnlocked(*pwallet);
std::string strSecret = request.params[0].get_str();
std::string strLabel = "";
@@ -193,34 +197,6 @@ RPCHelpMan importprivkey()
};
}
-RPCHelpMan abortrescan()
-{
- return RPCHelpMan{"abortrescan",
- "\nStops current wallet rescan triggered by an RPC call, e.g. by an importprivkey call.\n"
- "Note: Use \"getwalletinfo\" to query the scanning progress.\n",
- {},
- RPCResult{RPCResult::Type::BOOL, "", "Whether the abort was successful"},
- RPCExamples{
- "\nImport a private key\n"
- + HelpExampleCli("importprivkey", "\"mykey\"") +
- "\nAbort the running wallet rescan\n"
- + HelpExampleCli("abortrescan", "") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("abortrescan", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- if (!pwallet->IsScanning() || pwallet->IsAbortingRescan()) return false;
- pwallet->AbortRescan();
- return true;
-},
- };
-}
-
RPCHelpMan importaddress()
{
return RPCHelpMan{"importaddress",
@@ -234,9 +210,9 @@ RPCHelpMan importaddress()
"Note: Use \"getwalletinfo\" to query the scanning progress.\n",
{
{"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The Bitcoin address (or hex-encoded script)"},
- {"label", RPCArg::Type::STR, /* default */ "\"\"", "An optional label"},
- {"rescan", RPCArg::Type::BOOL, /* default */ "true", "Rescan the wallet for transactions"},
- {"p2sh", RPCArg::Type::BOOL, /* default */ "false", "Add the P2SH version of the script as well"},
+ {"label", RPCArg::Type::STR, RPCArg::Default{""}, "An optional label"},
+ {"rescan", RPCArg::Type::BOOL, RPCArg::Default{true}, "Rescan the wallet for transactions"},
+ {"p2sh", RPCArg::Type::BOOL, RPCArg::Default{false}, "Add the P2SH version of the script as well"},
},
RPCResult{RPCResult::Type::NONE, "", ""},
RPCExamples{
@@ -249,9 +225,8 @@ RPCHelpMan importaddress()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
EnsureLegacyScriptPubKeyMan(*pwallet, true);
@@ -289,6 +264,9 @@ RPCHelpMan importaddress()
if (fP2SH) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Cannot use the p2sh flag with an address - use a script instead");
}
+ if (OutputTypeFromDestination(dest) == OutputType::BECH32M) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Bech32m addresses cannot be imported into legacy wallets");
+ }
pwallet->MarkDirty();
@@ -335,9 +313,8 @@ RPCHelpMan importprunedfunds()
RPCExamples{""},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
CMutableTransaction tx;
if (!DecodeHexTx(tx, request.params[0].get_str())) {
@@ -369,11 +346,9 @@ RPCHelpMan importprunedfunds()
unsigned int txnIndex = vIndex[it - vMatch.begin()];
- CWalletTx::Confirmation confirm(CWalletTx::Status::CONFIRMED, height, merkleBlock.header.GetHash(), txnIndex);
-
CTransactionRef tx_ref = MakeTransactionRef(tx);
if (pwallet->IsMine(*tx_ref)) {
- pwallet->AddToWallet(std::move(tx_ref), confirm);
+ pwallet->AddToWallet(std::move(tx_ref), TxStateConfirmed{merkleBlock.header.GetHash(), height, static_cast<int>(txnIndex)});
return NullUniValue;
}
@@ -397,9 +372,8 @@ RPCHelpMan removeprunedfunds()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
LOCK(pwallet->cs_wallet);
@@ -431,8 +405,8 @@ RPCHelpMan importpubkey()
"Note: Use \"getwalletinfo\" to query the scanning progress.\n",
{
{"pubkey", RPCArg::Type::STR, RPCArg::Optional::NO, "The hex-encoded public key"},
- {"label", RPCArg::Type::STR, /* default */ "\"\"", "An optional label"},
- {"rescan", RPCArg::Type::BOOL, /* default */ "true", "Rescan the wallet for transactions"},
+ {"label", RPCArg::Type::STR, RPCArg::Default{""}, "An optional label"},
+ {"rescan", RPCArg::Type::BOOL, RPCArg::Default{true}, "Rescan the wallet for transactions"},
},
RPCResult{RPCResult::Type::NONE, "", ""},
RPCExamples{
@@ -445,11 +419,10 @@ RPCHelpMan importpubkey()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
- EnsureLegacyScriptPubKeyMan(*wallet, true);
+ EnsureLegacyScriptPubKeyMan(*pwallet, true);
std::string strLabel;
if (!request.params[1].isNull())
@@ -475,7 +448,7 @@ RPCHelpMan importpubkey()
if (!IsHex(request.params[0].get_str()))
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Pubkey must be a hex string");
std::vector<unsigned char> data(ParseHex(request.params[0].get_str()));
- CPubKey pubKey(data.begin(), data.end());
+ CPubKey pubKey(data);
if (!pubKey.IsFullyValid())
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Pubkey is not a valid public key");
@@ -527,11 +500,10 @@ RPCHelpMan importwallet()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
- EnsureLegacyScriptPubKeyMan(*wallet, true);
+ EnsureLegacyScriptPubKeyMan(*pwallet, true);
if (pwallet->chain().havePruned()) {
// Exit early and print an error.
@@ -550,10 +522,10 @@ RPCHelpMan importwallet()
{
LOCK(pwallet->cs_wallet);
- EnsureWalletIsUnlocked(pwallet);
+ EnsureWalletIsUnlocked(*pwallet);
- fsbridge::ifstream file;
- file.open(request.params[0].get_str(), std::ios::in | std::ios::ate);
+ std::ifstream file;
+ file.open(fs::u8path(request.params[0].get_str()), std::ios::in | std::ios::ate);
if (!file.is_open()) {
throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot open wallet dump file");
}
@@ -564,7 +536,7 @@ RPCHelpMan importwallet()
// Use uiInterface.ShowProgress instead of pwallet.ShowProgress because pwallet.ShowProgress has a cancel button tied to AbortRescan which
// we don't want for this progress bar showing the import progress. uiInterface.ShowProgress does not have a cancel button.
- pwallet->chain().showProgress(strprintf("%s " + _("Importing...").translated, pwallet->GetDisplayName()), 0, false); // show progress dialog in GUI
+ pwallet->chain().showProgress(strprintf("%s " + _("Importing…").translated, pwallet->GetDisplayName()), 0, false); // show progress dialog in GUI
std::vector<std::tuple<CKey, int64_t, bool, std::string>> keys;
std::vector<std::pair<CScript, int64_t>> scripts;
while (file.good()) {
@@ -684,15 +656,14 @@ RPCHelpMan dumpprivkey()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
- LegacyScriptPubKeyMan& spk_man = EnsureLegacyScriptPubKeyMan(*wallet);
+ const LegacyScriptPubKeyMan& spk_man = EnsureConstLegacyScriptPubKeyMan(*pwallet);
LOCK2(pwallet->cs_wallet, spk_man.cs_KeyStore);
- EnsureWalletIsUnlocked(pwallet);
+ EnsureWalletIsUnlocked(*pwallet);
std::string strAddress = request.params[0].get_str();
CTxDestination dest = DecodeDestination(strAddress);
@@ -735,21 +706,21 @@ RPCHelpMan dumpwallet()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
if (!pwallet) return NullUniValue;
- CWallet& wallet = *pwallet;
- LegacyScriptPubKeyMan& spk_man = EnsureLegacyScriptPubKeyMan(wallet);
+ const CWallet& wallet = *pwallet;
+ const LegacyScriptPubKeyMan& spk_man = EnsureConstLegacyScriptPubKeyMan(wallet);
// Make sure the results are valid at least up to the most recent block
// the user could have gotten from another RPC command prior to now
wallet.BlockUntilSyncedToCurrentChain();
- LOCK2(wallet.cs_wallet, spk_man.cs_KeyStore);
+ LOCK(wallet.cs_wallet);
- EnsureWalletIsUnlocked(&wallet);
+ EnsureWalletIsUnlocked(wallet);
- fs::path filepath = request.params[0].get_str();
+ fs::path filepath = fs::u8path(request.params[0].get_str());
filepath = fs::absolute(filepath);
/* Prevent arbitrary files from being overwritten. There have been reports
@@ -758,18 +729,25 @@ RPCHelpMan dumpwallet()
* It may also avoid other security issues.
*/
if (fs::exists(filepath)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, filepath.string() + " already exists. If you are sure this is what you want, move it out of the way first");
+ throw JSONRPCError(RPC_INVALID_PARAMETER, filepath.u8string() + " already exists. If you are sure this is what you want, move it out of the way first");
}
- fsbridge::ofstream file;
+ std::ofstream file;
file.open(filepath);
if (!file.is_open())
throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot open wallet dump file");
std::map<CKeyID, int64_t> mapKeyBirth;
- const std::map<CKeyID, int64_t>& mapKeyPool = spk_man.GetAllReserveKeys();
wallet.GetKeyBirthTimes(mapKeyBirth);
+ int64_t block_time = 0;
+ CHECK_NONFATAL(wallet.chain().findBlock(wallet.GetLastBlockHash(), FoundBlock().time(block_time)));
+
+ // Note: To avoid a lock order issue, access to cs_main must be locked before cs_KeyStore.
+ // So we do the two things in this function that lock cs_main first: GetKeyBirthTimes, and findBlock.
+ LOCK(spk_man.cs_KeyStore);
+
+ const std::map<CKeyID, int64_t>& mapKeyPool = spk_man.GetAllReserveKeys();
std::set<CScriptID> scripts = spk_man.GetCScripts();
// sort time/key pairs
@@ -781,11 +759,9 @@ RPCHelpMan dumpwallet()
std::sort(vKeyBirth.begin(), vKeyBirth.end());
// produce output
- file << strprintf("# Wallet dump created by Bitcoin %s\n", CLIENT_BUILD);
+ file << strprintf("# Wallet dump created by %s %s\n", PACKAGE_NAME, FormatFullVersion());
file << strprintf("# * Created on %s\n", FormatISO8601DateTime(GetTime()));
file << strprintf("# * Best block at time of backup was %i (%s),\n", wallet.GetLastBlockHeight(), wallet.GetLastBlockHash().ToString());
- int64_t block_time = 0;
- CHECK_NONFATAL(wallet.chain().findBlock(wallet.GetLastBlockHash(), FoundBlock().time(block_time)));
file << strprintf("# mined on %s\n", FormatISO8601DateTime(block_time));
file << "\n";
@@ -796,7 +772,7 @@ RPCHelpMan dumpwallet()
CKey seed;
if (spk_man.GetKey(seed_id, seed)) {
CExtKey masterKey;
- masterKey.SetSeed(seed.begin(), seed.size());
+ masterKey.SetSeed(seed);
file << "# extended private masterkey: " << EncodeExtKey(masterKey) << "\n\n";
}
@@ -808,19 +784,22 @@ RPCHelpMan dumpwallet()
std::string strLabel;
CKey key;
if (spk_man.GetKey(keyid, key)) {
+ CKeyMetadata metadata;
+ const auto it{spk_man.mapKeyMetadata.find(keyid)};
+ if (it != spk_man.mapKeyMetadata.end()) metadata = it->second;
file << strprintf("%s %s ", EncodeSecret(key), strTime);
- if (GetWalletAddressesForKey(&spk_man, &wallet, keyid, strAddr, strLabel)) {
+ if (GetWalletAddressesForKey(&spk_man, wallet, keyid, strAddr, strLabel)) {
file << strprintf("label=%s", strLabel);
} else if (keyid == seed_id) {
file << "hdseed=1";
} else if (mapKeyPool.count(keyid)) {
file << "reserve=1";
- } else if (spk_man.mapKeyMetadata[keyid].hdKeypath == "s") {
+ } else if (metadata.hdKeypath == "s") {
file << "inactivehdseed=1";
} else {
file << "change=1";
}
- file << strprintf(" # addr=%s%s\n", strAddr, (spk_man.mapKeyMetadata[keyid].has_key_origin ? " hdkeypath="+WriteHDKeypath(spk_man.mapKeyMetadata[keyid].key_origin.path) : ""));
+ file << strprintf(" # addr=%s%s\n", strAddr, (metadata.has_key_origin ? " hdkeypath="+WriteHDKeypath(metadata.key_origin.path) : ""));
}
}
file << "\n";
@@ -843,7 +822,7 @@ RPCHelpMan dumpwallet()
file.close();
UniValue reply(UniValue::VOBJ);
- reply.pushKV("filename", filepath.string());
+ reply.pushKV("filename", filepath.u8string());
return reply;
},
@@ -879,7 +858,7 @@ static std::string RecurseImportData(const CScript& script, ImportData& import_d
switch (script_type) {
case TxoutType::PUBKEY: {
- CPubKey pubkey(solverdata[0].begin(), solverdata[0].end());
+ CPubKey pubkey(solverdata[0]);
import_data.used_keys.emplace(pubkey.GetID(), false);
return "";
}
@@ -901,7 +880,7 @@ static std::string RecurseImportData(const CScript& script, ImportData& import_d
}
case TxoutType::MULTISIG: {
for (size_t i = 1; i + 1< solverdata.size(); ++i) {
- CPubKey pubkey(solverdata[i].begin(), solverdata[i].end());
+ CPubKey pubkey(solverdata[i]);
import_data.used_keys.emplace(pubkey.GetID(), false);
}
return "";
@@ -970,6 +949,9 @@ static UniValue ProcessImportLegacy(ImportData& import_data, std::map<CKeyID, CP
if (!IsValidDestination(dest)) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid address \"" + output + "\"");
}
+ if (OutputTypeFromDestination(dest) == OutputType::BECH32M) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Bech32m addresses cannot be imported into legacy wallets");
+ }
script = GetScriptForDestination(dest);
} else {
if (!IsHex(output)) {
@@ -990,14 +972,14 @@ static UniValue ProcessImportLegacy(ImportData& import_data, std::map<CKeyID, CP
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid redeem script \"" + strRedeemScript + "\": must be hex string");
}
auto parsed_redeemscript = ParseHex(strRedeemScript);
- import_data.redeemscript = MakeUnique<CScript>(parsed_redeemscript.begin(), parsed_redeemscript.end());
+ import_data.redeemscript = std::make_unique<CScript>(parsed_redeemscript.begin(), parsed_redeemscript.end());
}
if (witness_script_hex.size()) {
if (!IsHex(witness_script_hex)) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid witness script \"" + witness_script_hex + "\": must be hex string");
}
auto parsed_witnessscript = ParseHex(witness_script_hex);
- import_data.witnessscript = MakeUnique<CScript>(parsed_witnessscript.begin(), parsed_witnessscript.end());
+ import_data.witnessscript = std::make_unique<CScript>(parsed_witnessscript.begin(), parsed_witnessscript.end());
}
for (size_t i = 0; i < pubKeys.size(); ++i) {
const auto& str = pubKeys[i].get_str();
@@ -1005,7 +987,7 @@ static UniValue ProcessImportLegacy(ImportData& import_data, std::map<CKeyID, CP
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Pubkey \"" + str + "\" must be a hex string");
}
auto parsed_pubkey = ParseHex(str);
- CPubKey pubkey(parsed_pubkey.begin(), parsed_pubkey.end());
+ CPubKey pubkey(parsed_pubkey);
if (!pubkey.IsFullyValid()) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Pubkey \"" + str + "\" is not a valid public key");
}
@@ -1094,6 +1076,9 @@ static UniValue ProcessImportDescriptor(ImportData& import_data, std::map<CKeyID
if (!parsed_desc) {
throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, error);
}
+ if (parsed_desc->GetOutputType() == OutputType::BECH32M) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Bech32m descriptors cannot be imported into legacy wallets");
+ }
have_solving_data = parsed_desc->IsSolvable();
const bool watch_only = data.exists("watchonly") ? data["watchonly"].get_bool() : false;
@@ -1169,7 +1154,7 @@ static UniValue ProcessImportDescriptor(ImportData& import_data, std::map<CKeyID
return warnings;
}
-static UniValue ProcessImport(CWallet * const pwallet, const UniValue& data, const int64_t timestamp) EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)
+static UniValue ProcessImport(CWallet& wallet, const UniValue& data, const int64_t timestamp) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
{
UniValue warnings(UniValue::VARR);
UniValue result(UniValue::VOBJ);
@@ -1184,7 +1169,7 @@ static UniValue ProcessImport(CWallet * const pwallet, const UniValue& data, con
const bool add_keypool = data.exists("keypool") ? data["keypool"].get_bool() : false;
// Add to keypool only works with privkeys disabled
- if (add_keypool && !pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
+ if (add_keypool && !wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
throw JSONRPCError(RPC_INVALID_PARAMETER, "Keys can only be imported to the keypool when private keys are disabled");
}
@@ -1206,29 +1191,29 @@ static UniValue ProcessImport(CWallet * const pwallet, const UniValue& data, con
}
// If private keys are disabled, abort if private keys are being imported
- if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && !privkey_map.empty()) {
+ if (wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && !privkey_map.empty()) {
throw JSONRPCError(RPC_WALLET_ERROR, "Cannot import private keys to a wallet with private keys disabled");
}
// Check whether we have any work to do
for (const CScript& script : script_pub_keys) {
- if (pwallet->IsMine(script) & ISMINE_SPENDABLE) {
+ if (wallet.IsMine(script) & ISMINE_SPENDABLE) {
throw JSONRPCError(RPC_WALLET_ERROR, "The wallet already contains the private key for this address or script (\"" + HexStr(script) + "\")");
}
}
// All good, time to import
- pwallet->MarkDirty();
- if (!pwallet->ImportScripts(import_data.import_scripts, timestamp)) {
+ wallet.MarkDirty();
+ if (!wallet.ImportScripts(import_data.import_scripts, timestamp)) {
throw JSONRPCError(RPC_WALLET_ERROR, "Error adding script to wallet");
}
- if (!pwallet->ImportPrivKeys(privkey_map, timestamp)) {
+ if (!wallet.ImportPrivKeys(privkey_map, timestamp)) {
throw JSONRPCError(RPC_WALLET_ERROR, "Error adding key to wallet");
}
- if (!pwallet->ImportPubKeys(ordered_pubkeys, pubkey_map, import_data.key_origins, add_keypool, internal, timestamp)) {
+ if (!wallet.ImportPubKeys(ordered_pubkeys, pubkey_map, import_data.key_origins, add_keypool, internal, timestamp)) {
throw JSONRPCError(RPC_WALLET_ERROR, "Error adding address to wallet");
}
- if (!pwallet->ImportScriptPubKeys(label, script_pub_keys, have_solving_data, !internal, timestamp)) {
+ if (!wallet.ImportScriptPubKeys(label, script_pub_keys, have_solving_data, !internal, timestamp)) {
throw JSONRPCError(RPC_WALLET_ERROR, "Error adding address to wallet");
}
@@ -1287,28 +1272,28 @@ RPCHelpMan importmulti()
},
{"redeemscript", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "Allowed only if the scriptPubKey is a P2SH or P2SH-P2WSH address/scriptPubKey"},
{"witnessscript", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "Allowed only if the scriptPubKey is a P2SH-P2WSH or P2WSH address/scriptPubKey"},
- {"pubkeys", RPCArg::Type::ARR, /* default */ "empty array", "Array of strings giving pubkeys to import. They must occur in P2PKH or P2WPKH scripts. They are not required when the private key is also provided (see the \"keys\" argument).",
+ {"pubkeys", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "Array of strings giving pubkeys to import. They must occur in P2PKH or P2WPKH scripts. They are not required when the private key is also provided (see the \"keys\" argument).",
{
{"pubKey", RPCArg::Type::STR, RPCArg::Optional::OMITTED, ""},
}
},
- {"keys", RPCArg::Type::ARR, /* default */ "empty array", "Array of strings giving private keys to import. The corresponding public keys must occur in the output or redeemscript.",
+ {"keys", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "Array of strings giving private keys to import. The corresponding public keys must occur in the output or redeemscript.",
{
{"key", RPCArg::Type::STR, RPCArg::Optional::OMITTED, ""},
}
},
{"range", RPCArg::Type::RANGE, RPCArg::Optional::OMITTED, "If a ranged descriptor is used, this specifies the end or the range (in the form [begin,end]) to import"},
- {"internal", RPCArg::Type::BOOL, /* default */ "false", "Stating whether matching outputs should be treated as not incoming payments (also known as change)"},
- {"watchonly", RPCArg::Type::BOOL, /* default */ "false", "Stating whether matching outputs should be considered watchonly."},
- {"label", RPCArg::Type::STR, /* default */ "''", "Label to assign to the address, only allowed with internal=false"},
- {"keypool", RPCArg::Type::BOOL, /* default */ "false", "Stating whether imported public keys should be added to the keypool for when users request new addresses. Only allowed when wallet private keys are disabled"},
+ {"internal", RPCArg::Type::BOOL, RPCArg::Default{false}, "Stating whether matching outputs should be treated as not incoming payments (also known as change)"},
+ {"watchonly", RPCArg::Type::BOOL, RPCArg::Default{false}, "Stating whether matching outputs should be considered watchonly."},
+ {"label", RPCArg::Type::STR, RPCArg::Default{""}, "Label to assign to the address, only allowed with internal=false"},
+ {"keypool", RPCArg::Type::BOOL, RPCArg::Default{false}, "Stating whether imported public keys should be added to the keypool for when users request new addresses. Only allowed when wallet private keys are disabled"},
},
},
},
"\"requests\""},
{"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "",
{
- {"rescan", RPCArg::Type::BOOL, /* default */ "true", "Stating if should rescan the blockchain after all imports"},
+ {"rescan", RPCArg::Type::BOOL, RPCArg::Default{true}, "Stating if should rescan the blockchain after all imports"},
},
"\"options\""},
},
@@ -1318,11 +1303,11 @@ RPCHelpMan importmulti()
{RPCResult::Type::OBJ, "", "",
{
{RPCResult::Type::BOOL, "success", ""},
- {RPCResult::Type::ARR, "warnings", /* optional */ true, "",
+ {RPCResult::Type::ARR, "warnings", /*optional=*/true, "",
{
{RPCResult::Type::STR, "", ""},
}},
- {RPCResult::Type::OBJ, "error", /* optional */ true, "",
+ {RPCResult::Type::OBJ, "error", /*optional=*/true, "",
{
{RPCResult::Type::ELISION, "", "JSONRPC error"},
}},
@@ -1336,13 +1321,17 @@ RPCHelpMan importmulti()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& mainRequest) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(mainRequest);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(mainRequest);
+ if (!pwallet) return NullUniValue;
+ CWallet& wallet{*pwallet};
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
RPCTypeCheck(mainRequest.params, {UniValue::VARR, UniValue::VOBJ});
- EnsureLegacyScriptPubKeyMan(*wallet, true);
+ EnsureLegacyScriptPubKeyMan(*pwallet, true);
const UniValue& requests = mainRequest.params[0];
@@ -1368,7 +1357,7 @@ RPCHelpMan importmulti()
UniValue response(UniValue::VARR);
{
LOCK(pwallet->cs_wallet);
- EnsureWalletIsUnlocked(pwallet);
+ EnsureWalletIsUnlocked(*pwallet);
// Verify all timestamps are present before importing any keys.
CHECK_NONFATAL(pwallet->chain().findBlock(pwallet->GetLastBlockHash(), FoundBlock().time(nLowestTimestamp).mtpTime(now)));
@@ -1380,7 +1369,7 @@ RPCHelpMan importmulti()
for (const UniValue& data : requests.getValues()) {
const int64_t timestamp = std::max(GetImportTimestamp(data, now), minimumTimestamp);
- const UniValue result = ProcessImport(pwallet, data, timestamp);
+ const UniValue result = ProcessImport(*pwallet, data, timestamp);
response.push_back(result);
if (!fRescan) {
@@ -1433,7 +1422,7 @@ RPCHelpMan importmulti()
"and coins using this key may not appear in the wallet. This error could be "
"caused by pruning or data corruption (see bitcoind log for details) and could "
"be dealt with by downloading and rescanning the relevant blocks (see -reindex "
- "and -rescan options).",
+ "option and rescanblockchain RPC).",
GetImportTimestamp(request, now), scannedTime - TIMESTAMP_WINDOW - 1, TIMESTAMP_WINDOW)));
response.push_back(std::move(result));
}
@@ -1447,7 +1436,7 @@ RPCHelpMan importmulti()
};
}
-static UniValue ProcessDescriptorImport(CWallet * const pwallet, const UniValue& data, const int64_t timestamp) EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)
+static UniValue ProcessDescriptorImport(CWallet& wallet, const UniValue& data, const int64_t timestamp) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
{
UniValue warnings(UniValue::VARR);
UniValue result(UniValue::VOBJ);
@@ -1482,7 +1471,7 @@ static UniValue ProcessDescriptorImport(CWallet * const pwallet, const UniValue&
} else {
warnings.push_back("Range not given, using default keypool range");
range_start = 0;
- range_end = gArgs.GetArg("-keypool", DEFAULT_KEYPOOL_SIZE);
+ range_end = gArgs.GetIntArg("-keypool", DEFAULT_KEYPOOL_SIZE);
}
next_index = range_start;
@@ -1516,7 +1505,7 @@ static UniValue ProcessDescriptorImport(CWallet * const pwallet, const UniValue&
}
// If the wallet disabled private keys, abort if private keys exist
- if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && !keys.keys.empty()) {
+ if (wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && !keys.keys.empty()) {
throw JSONRPCError(RPC_WALLET_ERROR, "Cannot import private keys to a wallet with private keys disabled");
}
@@ -1540,7 +1529,7 @@ static UniValue ProcessDescriptorImport(CWallet * const pwallet, const UniValue&
}
// If private keys are enabled, check some things.
- if (!pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
+ if (!wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
if (keys.keys.empty()) {
throw JSONRPCError(RPC_WALLET_ERROR, "Cannot import descriptor without private keys to a wallet with private keys enabled");
}
@@ -1552,16 +1541,15 @@ static UniValue ProcessDescriptorImport(CWallet * const pwallet, const UniValue&
WalletDescriptor w_desc(std::move(parsed_desc), timestamp, range_start, range_end, next_index);
// Check if the wallet already contains the descriptor
- auto existing_spk_manager = pwallet->GetDescriptorScriptPubKeyMan(w_desc);
+ auto existing_spk_manager = wallet.GetDescriptorScriptPubKeyMan(w_desc);
if (existing_spk_manager) {
- LOCK(existing_spk_manager->cs_desc_man);
- if (range_start > existing_spk_manager->GetWalletDescriptor().range_start) {
- throw JSONRPCError(RPC_INVALID_PARAMS, strprintf("range_start can only decrease; current range = [%d,%d]", existing_spk_manager->GetWalletDescriptor().range_start, existing_spk_manager->GetWalletDescriptor().range_end));
+ if (!existing_spk_manager->CanUpdateToWalletDescriptor(w_desc, error)) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, error);
}
}
// Add descriptor to the wallet
- auto spk_manager = pwallet->AddWalletDescriptor(w_desc, keys, label, internal);
+ auto spk_manager = wallet.AddWalletDescriptor(w_desc, keys, label, internal);
if (spk_manager == nullptr) {
throw JSONRPCError(RPC_WALLET_ERROR, strprintf("Could not add descriptor '%s'", descriptor));
}
@@ -1571,7 +1559,11 @@ static UniValue ProcessDescriptorImport(CWallet * const pwallet, const UniValue&
if (!w_desc.descriptor->GetOutputType()) {
warnings.push_back("Unknown output type, cannot set descriptor to active.");
} else {
- pwallet->AddActiveScriptPubKeyMan(spk_manager->GetID(), *w_desc.descriptor->GetOutputType(), internal);
+ wallet.AddActiveScriptPubKeyMan(spk_manager->GetID(), *w_desc.descriptor->GetOutputType(), internal);
+ }
+ } else {
+ if (w_desc.descriptor->GetOutputType()) {
+ wallet.DeactivateScriptPubKeyMan(spk_manager->GetID(), *w_desc.descriptor->GetOutputType(), internal);
}
}
@@ -1579,10 +1571,6 @@ static UniValue ProcessDescriptorImport(CWallet * const pwallet, const UniValue&
} catch (const UniValue& e) {
result.pushKV("success", UniValue(false));
result.pushKV("error", e);
- } catch (...) {
- result.pushKV("success", UniValue(false));
-
- result.pushKV("error", JSONRPCError(RPC_MISC_ERROR, "Missing required fields"));
}
if (warnings.size()) result.pushKV("warnings", warnings);
return result;
@@ -1600,7 +1588,7 @@ RPCHelpMan importdescriptors()
{"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
{
{"desc", RPCArg::Type::STR, RPCArg::Optional::NO, "Descriptor to import."},
- {"active", RPCArg::Type::BOOL, /* default */ "false", "Set this descriptor to be the active descriptor for the corresponding output type/externality"},
+ {"active", RPCArg::Type::BOOL, RPCArg::Default{false}, "Set this descriptor to be the active descriptor for the corresponding output type/externality"},
{"range", RPCArg::Type::RANGE, RPCArg::Optional::OMITTED, "If a ranged descriptor is used, this specifies the end or the range (in the form [begin,end]) to import"},
{"next_index", RPCArg::Type::NUM, RPCArg::Optional::OMITTED, "If a ranged descriptor is set to active, this specifies the next index to generate addresses from"},
{"timestamp", RPCArg::Type::NUM, RPCArg::Optional::NO, "Time from which to start rescanning the blockchain for this descriptor, in " + UNIX_EPOCH_TIME + "\n"
@@ -1610,8 +1598,8 @@ RPCHelpMan importdescriptors()
" of all descriptors being imported will be scanned.",
/* oneline_description */ "", {"timestamp | \"now\"", "integer / string"}
},
- {"internal", RPCArg::Type::BOOL, /* default */ "false", "Whether matching outputs should be treated as not incoming payments (e.g. change)"},
- {"label", RPCArg::Type::STR, /* default */ "''", "Label to assign to the address, only allowed with internal=false"},
+ {"internal", RPCArg::Type::BOOL, RPCArg::Default{false}, "Whether matching outputs should be treated as not incoming payments (e.g. change)"},
+ {"label", RPCArg::Type::STR, RPCArg::Default{""}, "Label to assign to the address, only allowed with internal=false. Disabled for ranged descriptors"},
},
},
},
@@ -1623,11 +1611,11 @@ RPCHelpMan importdescriptors()
{RPCResult::Type::OBJ, "", "",
{
{RPCResult::Type::BOOL, "success", ""},
- {RPCResult::Type::ARR, "warnings", /* optional */ true, "",
+ {RPCResult::Type::ARR, "warnings", /*optional=*/true, "",
{
{RPCResult::Type::STR, "", ""},
}},
- {RPCResult::Type::OBJ, "error", /* optional */ true, "",
+ {RPCResult::Type::OBJ, "error", /*optional=*/true, "",
{
{RPCResult::Type::ELISION, "", "JSONRPC error"},
}},
@@ -1641,9 +1629,13 @@ RPCHelpMan importdescriptors()
},
[&](const RPCHelpMan& self, const JSONRPCRequest& main_request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(main_request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(main_request);
+ if (!pwallet) return NullUniValue;
+ CWallet& wallet{*pwallet};
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
// Make sure wallet is a descriptor wallet
if (!pwallet->IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS)) {
@@ -1665,7 +1657,7 @@ RPCHelpMan importdescriptors()
UniValue response(UniValue::VARR);
{
LOCK(pwallet->cs_wallet);
- EnsureWalletIsUnlocked(pwallet);
+ EnsureWalletIsUnlocked(*pwallet);
CHECK_NONFATAL(pwallet->chain().findBlock(pwallet->GetLastBlockHash(), FoundBlock().time(lowest_timestamp).mtpTime(now)));
@@ -1673,7 +1665,7 @@ RPCHelpMan importdescriptors()
for (const UniValue& request : requests.getValues()) {
// This throws an error if "timestamp" doesn't exist
const int64_t timestamp = std::max(GetImportTimestamp(request, now), minimum_timestamp);
- const UniValue result = ProcessDescriptorImport(pwallet, request, timestamp);
+ const UniValue result = ProcessDescriptorImport(*pwallet, request, timestamp);
response.push_back(result);
if (lowest_timestamp > timestamp ) {
@@ -1728,7 +1720,7 @@ RPCHelpMan importdescriptors()
"and coins using this desc may not appear in the wallet. This error could be "
"caused by pruning or data corruption (see bitcoind log for details) and could "
"be dealt with by downloading and rescanning the relevant blocks (see -reindex "
- "and -rescan options).",
+ "option and rescanblockchain RPC).",
GetImportTimestamp(request, now), scanned_time - TIMESTAMP_WINDOW - 1, TIMESTAMP_WINDOW)));
response.push_back(std::move(result));
}
@@ -1745,41 +1737,48 @@ RPCHelpMan listdescriptors()
{
return RPCHelpMan{
"listdescriptors",
- "\nList descriptors imported into a descriptor-enabled wallet.",
- {},
- RPCResult{
- RPCResult::Type::ARR, "", "Response is an array of descriptor objects",
+ "\nList descriptors imported into a descriptor-enabled wallet.\n",
+ {
+ {"private", RPCArg::Type::BOOL, RPCArg::Default{false}, "Show private descriptors."}
+ },
+ RPCResult{RPCResult::Type::OBJ, "", "", {
+ {RPCResult::Type::STR, "wallet_name", "Name of wallet this operation was performed on"},
+ {RPCResult::Type::ARR, "descriptors", "Array of descriptor objects",
{
{RPCResult::Type::OBJ, "", "", {
{RPCResult::Type::STR, "desc", "Descriptor string representation"},
{RPCResult::Type::NUM, "timestamp", "The creation time of the descriptor"},
{RPCResult::Type::BOOL, "active", "Activeness flag"},
- {RPCResult::Type::BOOL, "internal", true, "Whether this is internal or external descriptor; defined only for active descriptors"},
+ {RPCResult::Type::BOOL, "internal", true, "Whether this is an internal or external descriptor; defined only for active descriptors"},
{RPCResult::Type::ARR_FIXED, "range", true, "Defined only for ranged descriptors", {
{RPCResult::Type::NUM, "", "Range start inclusive"},
{RPCResult::Type::NUM, "", "Range end inclusive"},
}},
{RPCResult::Type::NUM, "next", true, "The next index to generate addresses from; defined only for ranged descriptors"},
}},
- }
- },
+ }}
+ }},
RPCExamples{
HelpExampleCli("listdescriptors", "") + HelpExampleRpc("listdescriptors", "")
+ + HelpExampleCli("listdescriptors", "true") + HelpExampleRpc("listdescriptors", "true")
},
[&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
+ const std::shared_ptr<const CWallet> wallet = GetWalletForJSONRPCRequest(request);
if (!wallet) return NullUniValue;
if (!wallet->IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS)) {
throw JSONRPCError(RPC_WALLET_ERROR, "listdescriptors is not available for non-descriptor wallets");
}
- EnsureWalletIsUnlocked(wallet.get());
+ const bool priv = !request.params[0].isNull() && request.params[0].get_bool();
+ if (priv) {
+ EnsureWalletIsUnlocked(*wallet);
+ }
LOCK(wallet->cs_wallet);
- UniValue response(UniValue::VARR);
+ UniValue descriptors(UniValue::VARR);
const auto active_spk_mans = wallet->GetActiveScriptPubKeyMans();
for (const auto& spk_man : wallet->GetAllScriptPubKeyMans()) {
const auto desc_spk_man = dynamic_cast<DescriptorScriptPubKeyMan*>(spk_man);
@@ -1790,16 +1789,16 @@ RPCHelpMan listdescriptors()
LOCK(desc_spk_man->cs_desc_man);
const auto& wallet_descriptor = desc_spk_man->GetWalletDescriptor();
std::string descriptor;
- if (!desc_spk_man->GetDescriptorString(descriptor, false)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Can't get normalized descriptor string.");
+
+ if (!desc_spk_man->GetDescriptorString(descriptor, priv)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Can't get descriptor string.");
}
spk.pushKV("desc", descriptor);
spk.pushKV("timestamp", wallet_descriptor.creation_time);
- const bool active = active_spk_mans.count(desc_spk_man) != 0;
- spk.pushKV("active", active);
- const auto& type = wallet_descriptor.descriptor->GetOutputType();
- if (active && type != nullopt) {
- spk.pushKV("internal", wallet->GetScriptPubKeyMan(*type, true) == desc_spk_man);
+ spk.pushKV("active", active_spk_mans.count(desc_spk_man) != 0);
+ const auto internal = wallet->IsInternalScriptPubKeyMan(desc_spk_man);
+ if (internal.has_value()) {
+ spk.pushKV("internal", *internal);
}
if (wallet_descriptor.descriptor->IsRange()) {
UniValue range(UniValue::VARR);
@@ -1808,10 +1807,101 @@ RPCHelpMan listdescriptors()
spk.pushKV("range", range);
spk.pushKV("next", wallet_descriptor.next_index);
}
- response.push_back(spk);
+ descriptors.push_back(spk);
}
+ UniValue response(UniValue::VOBJ);
+ response.pushKV("wallet_name", wallet->GetName());
+ response.pushKV("descriptors", descriptors);
+
return response;
},
};
}
+
+RPCHelpMan backupwallet()
+{
+ return RPCHelpMan{"backupwallet",
+ "\nSafely copies current wallet file to destination, which can be a directory or a path with filename.\n",
+ {
+ {"destination", RPCArg::Type::STR, RPCArg::Optional::NO, "The destination directory or file"},
+ },
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("backupwallet", "\"backup.dat\"")
+ + HelpExampleRpc("backupwallet", "\"backup.dat\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ std::string strDest = request.params[0].get_str();
+ if (!pwallet->BackupWallet(strDest)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Error: Wallet backup failed!");
+ }
+
+ return NullUniValue;
+},
+ };
+}
+
+
+RPCHelpMan restorewallet()
+{
+ return RPCHelpMan{
+ "restorewallet",
+ "\nRestore and loads a wallet from backup.\n",
+ {
+ {"wallet_name", RPCArg::Type::STR, RPCArg::Optional::NO, "The name that will be applied to the restored wallet"},
+ {"backup_file", RPCArg::Type::STR, RPCArg::Optional::NO, "The backup file that will be used to restore the wallet."},
+ {"load_on_startup", RPCArg::Type::BOOL, RPCArg::Optional::OMITTED_NAMED_ARG, "Save wallet name to persistent settings and load on startup. True to add wallet to startup list, false to remove, null to leave unchanged."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "name", "The wallet name if restored successfully."},
+ {RPCResult::Type::STR, "warning", "Warning message if wallet was not loaded cleanly."},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("restorewallet", "\"testwallet\" \"home\\backups\\backup-file.bak\"")
+ + HelpExampleRpc("restorewallet", "\"testwallet\" \"home\\backups\\backup-file.bak\"")
+ + HelpExampleCliNamed("restorewallet", {{"wallet_name", "testwallet"}, {"backup_file", "home\\backups\\backup-file.bak\""}, {"load_on_startup", true}})
+ + HelpExampleRpcNamed("restorewallet", {{"wallet_name", "testwallet"}, {"backup_file", "home\\backups\\backup-file.bak\""}, {"load_on_startup", true}})
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+
+ WalletContext& context = EnsureWalletContext(request.context);
+
+ auto backup_file = fs::u8path(request.params[1].get_str());
+
+ std::string wallet_name = request.params[0].get_str();
+
+ std::optional<bool> load_on_start = request.params[2].isNull() ? std::nullopt : std::optional<bool>(request.params[2].get_bool());
+
+ DatabaseStatus status;
+ bilingual_str error;
+ std::vector<bilingual_str> warnings;
+
+ const std::shared_ptr<CWallet> wallet = RestoreWallet(context, backup_file, wallet_name, load_on_start, status, error, warnings);
+
+ HandleWalletError(wallet, status, error);
+
+ UniValue obj(UniValue::VOBJ);
+ obj.pushKV("name", wallet->GetName());
+ obj.pushKV("warning", Join(warnings, Untranslated("\n")).original);
+
+ return obj;
+
+},
+ };
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/coins.cpp b/src/wallet/rpc/coins.cpp
new file mode 100644
index 0000000000..035541babd
--- /dev/null
+++ b/src/wallet/rpc/coins.cpp
@@ -0,0 +1,735 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <core_io.h>
+#include <key_io.h>
+#include <rpc/util.h>
+#include <util/moneystr.h>
+#include <wallet/coincontrol.h>
+#include <wallet/receive.h>
+#include <wallet/rpc/util.h>
+#include <wallet/spend.h>
+#include <wallet/wallet.h>
+
+#include <univalue.h>
+
+
+namespace wallet {
+static CAmount GetReceived(const CWallet& wallet, const UniValue& params, bool by_label) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
+{
+ std::set<CTxDestination> address_set;
+
+ if (by_label) {
+ // Get the set of addresses assigned to label
+ std::string label = LabelFromValue(params[0]);
+ address_set = wallet.GetLabelAddresses(label);
+ } else {
+ // Get the address
+ CTxDestination dest = DecodeDestination(params[0].get_str());
+ if (!IsValidDestination(dest)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid Bitcoin address");
+ }
+ CScript script_pub_key = GetScriptForDestination(dest);
+ if (!wallet.IsMine(script_pub_key)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Address not found in wallet");
+ }
+ address_set.insert(dest);
+ }
+
+ // Minimum confirmations
+ int min_depth = 1;
+ if (!params[1].isNull())
+ min_depth = params[1].get_int();
+
+ const bool include_immature_coinbase{params[2].isNull() ? false : params[2].get_bool()};
+
+ // Excluding coinbase outputs is deprecated
+ // It can be enabled by setting deprecatedrpc=exclude_coinbase
+ const bool include_coinbase{!wallet.chain().rpcEnableDeprecated("exclude_coinbase")};
+
+ if (include_immature_coinbase && !include_coinbase) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "include_immature_coinbase is incompatible with deprecated exclude_coinbase");
+ }
+
+ // Tally
+ CAmount amount = 0;
+ for (const std::pair<const uint256, CWalletTx>& wtx_pair : wallet.mapWallet) {
+ const CWalletTx& wtx = wtx_pair.second;
+ int depth{wallet.GetTxDepthInMainChain(wtx)};
+ if (depth < min_depth
+ // Coinbase with less than 1 confirmation is no longer in the main chain
+ || (wtx.IsCoinBase() && (depth < 1 || !include_coinbase))
+ || (wallet.IsTxImmatureCoinBase(wtx) && !include_immature_coinbase))
+ {
+ continue;
+ }
+
+ for (const CTxOut& txout : wtx.tx->vout) {
+ CTxDestination address;
+ if (ExtractDestination(txout.scriptPubKey, address) && wallet.IsMine(address) && address_set.count(address)) {
+ amount += txout.nValue;
+ }
+ }
+ }
+
+ return amount;
+}
+
+
+RPCHelpMan getreceivedbyaddress()
+{
+ return RPCHelpMan{"getreceivedbyaddress",
+ "\nReturns the total amount received by the given address in transactions with at least minconf confirmations.\n",
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address for transactions."},
+ {"minconf", RPCArg::Type::NUM, RPCArg::Default{1}, "Only include transactions confirmed at least this many times."},
+ {"include_immature_coinbase", RPCArg::Type::BOOL, RPCArg::Default{false}, "Include immature coinbase transactions."},
+ },
+ RPCResult{
+ RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received at this address."
+ },
+ RPCExamples{
+ "\nThe amount from transactions with at least 1 confirmation\n"
+ + HelpExampleCli("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\"") +
+ "\nThe amount including unconfirmed transactions, zero confirmations\n"
+ + HelpExampleCli("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0") +
+ "\nThe amount with at least 6 confirmations\n"
+ + HelpExampleCli("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 6") +
+ "\nThe amount with at least 6 confirmations including immature coinbase outputs\n"
+ + HelpExampleCli("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 6 true") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\", 6")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ return ValueFromAmount(GetReceived(*pwallet, request.params, /* by_label */ false));
+},
+ };
+}
+
+
+RPCHelpMan getreceivedbylabel()
+{
+ return RPCHelpMan{"getreceivedbylabel",
+ "\nReturns the total amount received by addresses with <label> in transactions with at least [minconf] confirmations.\n",
+ {
+ {"label", RPCArg::Type::STR, RPCArg::Optional::NO, "The selected label, may be the default label using \"\"."},
+ {"minconf", RPCArg::Type::NUM, RPCArg::Default{1}, "Only include transactions confirmed at least this many times."},
+ {"include_immature_coinbase", RPCArg::Type::BOOL, RPCArg::Default{false}, "Include immature coinbase transactions."},
+ },
+ RPCResult{
+ RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received for this label."
+ },
+ RPCExamples{
+ "\nAmount received by the default label with at least 1 confirmation\n"
+ + HelpExampleCli("getreceivedbylabel", "\"\"") +
+ "\nAmount received at the tabby label including unconfirmed amounts with zero confirmations\n"
+ + HelpExampleCli("getreceivedbylabel", "\"tabby\" 0") +
+ "\nThe amount with at least 6 confirmations\n"
+ + HelpExampleCli("getreceivedbylabel", "\"tabby\" 6") +
+ "\nThe amount with at least 6 confirmations including immature coinbase outputs\n"
+ + HelpExampleCli("getreceivedbylabel", "\"tabby\" 6 true") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("getreceivedbylabel", "\"tabby\", 6, true")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ return ValueFromAmount(GetReceived(*pwallet, request.params, /* by_label */ true));
+},
+ };
+}
+
+
+RPCHelpMan getbalance()
+{
+ return RPCHelpMan{"getbalance",
+ "\nReturns the total available balance.\n"
+ "The available balance is what the wallet considers currently spendable, and is\n"
+ "thus affected by options which limit spendability such as -spendzeroconfchange.\n",
+ {
+ {"dummy", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "Remains for backward compatibility. Must be excluded or set to \"*\"."},
+ {"minconf", RPCArg::Type::NUM, RPCArg::Default{0}, "Only include transactions confirmed at least this many times."},
+ {"include_watchonly", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Also include balance in watch-only addresses (see 'importaddress')"},
+ {"avoid_reuse", RPCArg::Type::BOOL, RPCArg::Default{true}, "(only available if avoid_reuse wallet flag is set) Do not include balance in dirty outputs; addresses are considered dirty if they have previously been used in a transaction."},
+ },
+ RPCResult{
+ RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received for this wallet."
+ },
+ RPCExamples{
+ "\nThe total amount in the wallet with 0 or more confirmations\n"
+ + HelpExampleCli("getbalance", "") +
+ "\nThe total amount in the wallet with at least 6 confirmations\n"
+ + HelpExampleCli("getbalance", "\"*\" 6") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("getbalance", "\"*\", 6")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ const UniValue& dummy_value = request.params[0];
+ if (!dummy_value.isNull() && dummy_value.get_str() != "*") {
+ throw JSONRPCError(RPC_METHOD_DEPRECATED, "dummy first argument must be excluded or set to \"*\".");
+ }
+
+ int min_depth = 0;
+ if (!request.params[1].isNull()) {
+ min_depth = request.params[1].get_int();
+ }
+
+ bool include_watchonly = ParseIncludeWatchonly(request.params[2], *pwallet);
+
+ bool avoid_reuse = GetAvoidReuseFlag(*pwallet, request.params[3]);
+
+ const auto bal = GetBalance(*pwallet, min_depth, avoid_reuse);
+
+ return ValueFromAmount(bal.m_mine_trusted + (include_watchonly ? bal.m_watchonly_trusted : 0));
+},
+ };
+}
+
+RPCHelpMan getunconfirmedbalance()
+{
+ return RPCHelpMan{"getunconfirmedbalance",
+ "DEPRECATED\nIdentical to getbalances().mine.untrusted_pending\n",
+ {},
+ RPCResult{RPCResult::Type::NUM, "", "The balance"},
+ RPCExamples{""},
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ return ValueFromAmount(GetBalance(*pwallet).m_mine_untrusted_pending);
+},
+ };
+}
+
+RPCHelpMan lockunspent()
+{
+ return RPCHelpMan{"lockunspent",
+ "\nUpdates list of temporarily unspendable outputs.\n"
+ "Temporarily lock (unlock=false) or unlock (unlock=true) specified transaction outputs.\n"
+ "If no transaction outputs are specified when unlocking then all current locked transaction outputs are unlocked.\n"
+ "A locked transaction output will not be chosen by automatic coin selection, when spending bitcoins.\n"
+ "Manually selected coins are automatically unlocked.\n"
+ "Locks are stored in memory only, unless persistent=true, in which case they will be written to the\n"
+ "wallet database and loaded on node start. Unwritten (persistent=false) locks are always cleared\n"
+ "(by virtue of process exit) when a node stops or fails. Unlocking will clear both persistent and not.\n"
+ "Also see the listunspent call\n",
+ {
+ {"unlock", RPCArg::Type::BOOL, RPCArg::Optional::NO, "Whether to unlock (true) or lock (false) the specified transactions"},
+ {"transactions", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "The transaction outputs and within each, the txid (string) vout (numeric).",
+ {
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
+ {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
+ },
+ },
+ },
+ },
+ {"persistent", RPCArg::Type::BOOL, RPCArg::Default{false}, "Whether to write/erase this lock in the wallet database, or keep the change in memory only. Ignored for unlocking."},
+ },
+ RPCResult{
+ RPCResult::Type::BOOL, "", "Whether the command was successful or not"
+ },
+ RPCExamples{
+ "\nList the unspent transactions\n"
+ + HelpExampleCli("listunspent", "") +
+ "\nLock an unspent transaction\n"
+ + HelpExampleCli("lockunspent", "false \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
+ "\nList the locked transactions\n"
+ + HelpExampleCli("listlockunspent", "") +
+ "\nUnlock the transaction again\n"
+ + HelpExampleCli("lockunspent", "true \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
+ "\nLock the transaction persistently in the wallet database\n"
+ + HelpExampleCli("lockunspent", "false \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\" true") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("lockunspent", "false, \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ RPCTypeCheckArgument(request.params[0], UniValue::VBOOL);
+
+ bool fUnlock = request.params[0].get_bool();
+
+ const bool persistent{request.params[2].isNull() ? false : request.params[2].get_bool()};
+
+ if (request.params[1].isNull()) {
+ if (fUnlock) {
+ if (!pwallet->UnlockAllCoins())
+ throw JSONRPCError(RPC_WALLET_ERROR, "Unlocking coins failed");
+ }
+ return true;
+ }
+
+ RPCTypeCheckArgument(request.params[1], UniValue::VARR);
+
+ const UniValue& output_params = request.params[1];
+
+ // Create and validate the COutPoints first.
+
+ std::vector<COutPoint> outputs;
+ outputs.reserve(output_params.size());
+
+ for (unsigned int idx = 0; idx < output_params.size(); idx++) {
+ const UniValue& o = output_params[idx].get_obj();
+
+ RPCTypeCheckObj(o,
+ {
+ {"txid", UniValueType(UniValue::VSTR)},
+ {"vout", UniValueType(UniValue::VNUM)},
+ });
+
+ const uint256 txid(ParseHashO(o, "txid"));
+ const int nOutput = find_value(o, "vout").get_int();
+ if (nOutput < 0) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, vout cannot be negative");
+ }
+
+ const COutPoint outpt(txid, nOutput);
+
+ const auto it = pwallet->mapWallet.find(outpt.hash);
+ if (it == pwallet->mapWallet.end()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, unknown transaction");
+ }
+
+ const CWalletTx& trans = it->second;
+
+ if (outpt.n >= trans.tx->vout.size()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, vout index out of bounds");
+ }
+
+ if (pwallet->IsSpent(outpt.hash, outpt.n)) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, expected unspent output");
+ }
+
+ const bool is_locked = pwallet->IsLockedCoin(outpt.hash, outpt.n);
+
+ if (fUnlock && !is_locked) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, expected locked output");
+ }
+
+ if (!fUnlock && is_locked && !persistent) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, output already locked");
+ }
+
+ outputs.push_back(outpt);
+ }
+
+ std::unique_ptr<WalletBatch> batch = nullptr;
+ // Unlock is always persistent
+ if (fUnlock || persistent) batch = std::make_unique<WalletBatch>(pwallet->GetDatabase());
+
+ // Atomically set (un)locked status for the outputs.
+ for (const COutPoint& outpt : outputs) {
+ if (fUnlock) {
+ if (!pwallet->UnlockCoin(outpt, batch.get())) throw JSONRPCError(RPC_WALLET_ERROR, "Unlocking coin failed");
+ } else {
+ if (!pwallet->LockCoin(outpt, batch.get())) throw JSONRPCError(RPC_WALLET_ERROR, "Locking coin failed");
+ }
+ }
+
+ return true;
+},
+ };
+}
+
+RPCHelpMan listlockunspent()
+{
+ return RPCHelpMan{"listlockunspent",
+ "\nReturns list of temporarily unspendable outputs.\n"
+ "See the lockunspent call to lock and unlock transactions for spending.\n",
+ {},
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "txid", "The transaction id locked"},
+ {RPCResult::Type::NUM, "vout", "The vout value"},
+ }},
+ }
+ },
+ RPCExamples{
+ "\nList the unspent transactions\n"
+ + HelpExampleCli("listunspent", "") +
+ "\nLock an unspent transaction\n"
+ + HelpExampleCli("lockunspent", "false \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
+ "\nList the locked transactions\n"
+ + HelpExampleCli("listlockunspent", "") +
+ "\nUnlock the transaction again\n"
+ + HelpExampleCli("lockunspent", "true \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("listlockunspent", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ std::vector<COutPoint> vOutpts;
+ pwallet->ListLockedCoins(vOutpts);
+
+ UniValue ret(UniValue::VARR);
+
+ for (const COutPoint& outpt : vOutpts) {
+ UniValue o(UniValue::VOBJ);
+
+ o.pushKV("txid", outpt.hash.GetHex());
+ o.pushKV("vout", (int)outpt.n);
+ ret.push_back(o);
+ }
+
+ return ret;
+},
+ };
+}
+
+RPCHelpMan getbalances()
+{
+ return RPCHelpMan{
+ "getbalances",
+ "Returns an object with all balances in " + CURRENCY_UNIT + ".\n",
+ {},
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::OBJ, "mine", "balances from outputs that the wallet can sign",
+ {
+ {RPCResult::Type::STR_AMOUNT, "trusted", "trusted balance (outputs created by the wallet or confirmed outputs)"},
+ {RPCResult::Type::STR_AMOUNT, "untrusted_pending", "untrusted pending balance (outputs created by others that are in the mempool)"},
+ {RPCResult::Type::STR_AMOUNT, "immature", "balance from immature coinbase outputs"},
+ {RPCResult::Type::STR_AMOUNT, "used", /*optional=*/true, "(only present if avoid_reuse is set) balance from coins sent to addresses that were previously spent from (potentially privacy violating)"},
+ }},
+ {RPCResult::Type::OBJ, "watchonly", /*optional=*/true, "watchonly balances (not present if wallet does not watch anything)",
+ {
+ {RPCResult::Type::STR_AMOUNT, "trusted", "trusted balance (outputs created by the wallet or confirmed outputs)"},
+ {RPCResult::Type::STR_AMOUNT, "untrusted_pending", "untrusted pending balance (outputs created by others that are in the mempool)"},
+ {RPCResult::Type::STR_AMOUNT, "immature", "balance from immature coinbase outputs"},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("getbalances", "") +
+ HelpExampleRpc("getbalances", "")},
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> rpc_wallet = GetWalletForJSONRPCRequest(request);
+ if (!rpc_wallet) return NullUniValue;
+ const CWallet& wallet = *rpc_wallet;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
+
+ LOCK(wallet.cs_wallet);
+
+ const auto bal = GetBalance(wallet);
+ UniValue balances{UniValue::VOBJ};
+ {
+ UniValue balances_mine{UniValue::VOBJ};
+ balances_mine.pushKV("trusted", ValueFromAmount(bal.m_mine_trusted));
+ balances_mine.pushKV("untrusted_pending", ValueFromAmount(bal.m_mine_untrusted_pending));
+ balances_mine.pushKV("immature", ValueFromAmount(bal.m_mine_immature));
+ if (wallet.IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE)) {
+ // If the AVOID_REUSE flag is set, bal has been set to just the un-reused address balance. Get
+ // the total balance, and then subtract bal to get the reused address balance.
+ const auto full_bal = GetBalance(wallet, 0, false);
+ balances_mine.pushKV("used", ValueFromAmount(full_bal.m_mine_trusted + full_bal.m_mine_untrusted_pending - bal.m_mine_trusted - bal.m_mine_untrusted_pending));
+ }
+ balances.pushKV("mine", balances_mine);
+ }
+ auto spk_man = wallet.GetLegacyScriptPubKeyMan();
+ if (spk_man && spk_man->HaveWatchOnly()) {
+ UniValue balances_watchonly{UniValue::VOBJ};
+ balances_watchonly.pushKV("trusted", ValueFromAmount(bal.m_watchonly_trusted));
+ balances_watchonly.pushKV("untrusted_pending", ValueFromAmount(bal.m_watchonly_untrusted_pending));
+ balances_watchonly.pushKV("immature", ValueFromAmount(bal.m_watchonly_immature));
+ balances.pushKV("watchonly", balances_watchonly);
+ }
+ return balances;
+},
+ };
+}
+
+RPCHelpMan listunspent()
+{
+ return RPCHelpMan{
+ "listunspent",
+ "\nReturns array of unspent transaction outputs\n"
+ "with between minconf and maxconf (inclusive) confirmations.\n"
+ "Optionally filter to only include txouts paid to specified addresses.\n",
+ {
+ {"minconf", RPCArg::Type::NUM, RPCArg::Default{1}, "The minimum confirmations to filter"},
+ {"maxconf", RPCArg::Type::NUM, RPCArg::Default{9999999}, "The maximum confirmations to filter"},
+ {"addresses", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "The bitcoin addresses to filter",
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "bitcoin address"},
+ },
+ },
+ {"include_unsafe", RPCArg::Type::BOOL, RPCArg::Default{true}, "Include outputs that are not safe to spend\n"
+ "See description of \"safe\" attribute below."},
+ {"query_options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "JSON with query options",
+ {
+ {"minimumAmount", RPCArg::Type::AMOUNT, RPCArg::Default{FormatMoney(0)}, "Minimum value of each UTXO in " + CURRENCY_UNIT + ""},
+ {"maximumAmount", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"unlimited"}, "Maximum value of each UTXO in " + CURRENCY_UNIT + ""},
+ {"maximumCount", RPCArg::Type::NUM, RPCArg::DefaultHint{"unlimited"}, "Maximum number of UTXOs"},
+ {"minimumSumAmount", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"unlimited"}, "Minimum sum value of all UTXOs in " + CURRENCY_UNIT + ""},
+ },
+ "query_options"},
+ },
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "txid", "the transaction id"},
+ {RPCResult::Type::NUM, "vout", "the vout value"},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "the bitcoin address"},
+ {RPCResult::Type::STR, "label", /*optional=*/true, "The associated label, or \"\" for the default label"},
+ {RPCResult::Type::STR, "scriptPubKey", "the script key"},
+ {RPCResult::Type::STR_AMOUNT, "amount", "the transaction output amount in " + CURRENCY_UNIT},
+ {RPCResult::Type::NUM, "confirmations", "The number of confirmations"},
+ {RPCResult::Type::NUM, "ancestorcount", /*optional=*/true, "The number of in-mempool ancestor transactions, including this one (if transaction is in the mempool)"},
+ {RPCResult::Type::NUM, "ancestorsize", /*optional=*/true, "The virtual transaction size of in-mempool ancestors, including this one (if transaction is in the mempool)"},
+ {RPCResult::Type::STR_AMOUNT, "ancestorfees", /*optional=*/true, "The total fees of in-mempool ancestors (including this one) with fee deltas used for mining priority in " + CURRENCY_ATOM + " (if transaction is in the mempool)"},
+ {RPCResult::Type::STR_HEX, "redeemScript", /*optional=*/true, "The redeemScript if scriptPubKey is P2SH"},
+ {RPCResult::Type::STR, "witnessScript", /*optional=*/true, "witnessScript if the scriptPubKey is P2WSH or P2SH-P2WSH"},
+ {RPCResult::Type::BOOL, "spendable", "Whether we have the private keys to spend this output"},
+ {RPCResult::Type::BOOL, "solvable", "Whether we know how to spend this output, ignoring the lack of keys"},
+ {RPCResult::Type::BOOL, "reused", /*optional=*/true, "(only present if avoid_reuse is set) Whether this output is reused/dirty (sent to an address that was previously spent from)"},
+ {RPCResult::Type::STR, "desc", /*optional=*/true, "(only when solvable) A descriptor for spending this output"},
+ {RPCResult::Type::BOOL, "safe", "Whether this output is considered safe to spend. Unconfirmed transactions\n"
+ "from outside keys and unconfirmed replacement transactions are considered unsafe\n"
+ "and are not eligible for spending by fundrawtransaction and sendtoaddress."},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("listunspent", "")
+ + HelpExampleCli("listunspent", "6 9999999 \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"")
+ + HelpExampleRpc("listunspent", "6, 9999999 \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"")
+ + HelpExampleCli("listunspent", "6 9999999 '[]' true '{ \"minimumAmount\": 0.005 }'")
+ + HelpExampleRpc("listunspent", "6, 9999999, [] , true, { \"minimumAmount\": 0.005 } ")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ int nMinDepth = 1;
+ if (!request.params[0].isNull()) {
+ RPCTypeCheckArgument(request.params[0], UniValue::VNUM);
+ nMinDepth = request.params[0].get_int();
+ }
+
+ int nMaxDepth = 9999999;
+ if (!request.params[1].isNull()) {
+ RPCTypeCheckArgument(request.params[1], UniValue::VNUM);
+ nMaxDepth = request.params[1].get_int();
+ }
+
+ std::set<CTxDestination> destinations;
+ if (!request.params[2].isNull()) {
+ RPCTypeCheckArgument(request.params[2], UniValue::VARR);
+ UniValue inputs = request.params[2].get_array();
+ for (unsigned int idx = 0; idx < inputs.size(); idx++) {
+ const UniValue& input = inputs[idx];
+ CTxDestination dest = DecodeDestination(input.get_str());
+ if (!IsValidDestination(dest)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, std::string("Invalid Bitcoin address: ") + input.get_str());
+ }
+ if (!destinations.insert(dest).second) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, std::string("Invalid parameter, duplicated address: ") + input.get_str());
+ }
+ }
+ }
+
+ bool include_unsafe = true;
+ if (!request.params[3].isNull()) {
+ RPCTypeCheckArgument(request.params[3], UniValue::VBOOL);
+ include_unsafe = request.params[3].get_bool();
+ }
+
+ CAmount nMinimumAmount = 0;
+ CAmount nMaximumAmount = MAX_MONEY;
+ CAmount nMinimumSumAmount = MAX_MONEY;
+ uint64_t nMaximumCount = 0;
+
+ if (!request.params[4].isNull()) {
+ const UniValue& options = request.params[4].get_obj();
+
+ RPCTypeCheckObj(options,
+ {
+ {"minimumAmount", UniValueType()},
+ {"maximumAmount", UniValueType()},
+ {"minimumSumAmount", UniValueType()},
+ {"maximumCount", UniValueType(UniValue::VNUM)},
+ },
+ true, true);
+
+ if (options.exists("minimumAmount"))
+ nMinimumAmount = AmountFromValue(options["minimumAmount"]);
+
+ if (options.exists("maximumAmount"))
+ nMaximumAmount = AmountFromValue(options["maximumAmount"]);
+
+ if (options.exists("minimumSumAmount"))
+ nMinimumSumAmount = AmountFromValue(options["minimumSumAmount"]);
+
+ if (options.exists("maximumCount"))
+ nMaximumCount = options["maximumCount"].get_int64();
+ }
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ UniValue results(UniValue::VARR);
+ std::vector<COutput> vecOutputs;
+ {
+ CCoinControl cctl;
+ cctl.m_avoid_address_reuse = false;
+ cctl.m_min_depth = nMinDepth;
+ cctl.m_max_depth = nMaxDepth;
+ cctl.m_include_unsafe_inputs = include_unsafe;
+ LOCK(pwallet->cs_wallet);
+ AvailableCoins(*pwallet, vecOutputs, &cctl, nMinimumAmount, nMaximumAmount, nMinimumSumAmount, nMaximumCount);
+ }
+
+ LOCK(pwallet->cs_wallet);
+
+ const bool avoid_reuse = pwallet->IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE);
+
+ for (const COutput& out : vecOutputs) {
+ CTxDestination address;
+ const CScript& scriptPubKey = out.tx->tx->vout[out.i].scriptPubKey;
+ bool fValidAddress = ExtractDestination(scriptPubKey, address);
+ bool reused = avoid_reuse && pwallet->IsSpentKey(out.tx->GetHash(), out.i);
+
+ if (destinations.size() && (!fValidAddress || !destinations.count(address)))
+ continue;
+
+ UniValue entry(UniValue::VOBJ);
+ entry.pushKV("txid", out.tx->GetHash().GetHex());
+ entry.pushKV("vout", out.i);
+
+ if (fValidAddress) {
+ entry.pushKV("address", EncodeDestination(address));
+
+ const auto* address_book_entry = pwallet->FindAddressBookEntry(address);
+ if (address_book_entry) {
+ entry.pushKV("label", address_book_entry->GetLabel());
+ }
+
+ std::unique_ptr<SigningProvider> provider = pwallet->GetSolvingProvider(scriptPubKey);
+ if (provider) {
+ if (scriptPubKey.IsPayToScriptHash()) {
+ const CScriptID& hash = CScriptID(std::get<ScriptHash>(address));
+ CScript redeemScript;
+ if (provider->GetCScript(hash, redeemScript)) {
+ entry.pushKV("redeemScript", HexStr(redeemScript));
+ // Now check if the redeemScript is actually a P2WSH script
+ CTxDestination witness_destination;
+ if (redeemScript.IsPayToWitnessScriptHash()) {
+ bool extracted = ExtractDestination(redeemScript, witness_destination);
+ CHECK_NONFATAL(extracted);
+ // Also return the witness script
+ const WitnessV0ScriptHash& whash = std::get<WitnessV0ScriptHash>(witness_destination);
+ CScriptID id;
+ CRIPEMD160().Write(whash.begin(), whash.size()).Finalize(id.begin());
+ CScript witnessScript;
+ if (provider->GetCScript(id, witnessScript)) {
+ entry.pushKV("witnessScript", HexStr(witnessScript));
+ }
+ }
+ }
+ } else if (scriptPubKey.IsPayToWitnessScriptHash()) {
+ const WitnessV0ScriptHash& whash = std::get<WitnessV0ScriptHash>(address);
+ CScriptID id;
+ CRIPEMD160().Write(whash.begin(), whash.size()).Finalize(id.begin());
+ CScript witnessScript;
+ if (provider->GetCScript(id, witnessScript)) {
+ entry.pushKV("witnessScript", HexStr(witnessScript));
+ }
+ }
+ }
+ }
+
+ entry.pushKV("scriptPubKey", HexStr(scriptPubKey));
+ entry.pushKV("amount", ValueFromAmount(out.tx->tx->vout[out.i].nValue));
+ entry.pushKV("confirmations", out.nDepth);
+ if (!out.nDepth) {
+ size_t ancestor_count, descendant_count, ancestor_size;
+ CAmount ancestor_fees;
+ pwallet->chain().getTransactionAncestry(out.tx->GetHash(), ancestor_count, descendant_count, &ancestor_size, &ancestor_fees);
+ if (ancestor_count) {
+ entry.pushKV("ancestorcount", uint64_t(ancestor_count));
+ entry.pushKV("ancestorsize", uint64_t(ancestor_size));
+ entry.pushKV("ancestorfees", uint64_t(ancestor_fees));
+ }
+ }
+ entry.pushKV("spendable", out.fSpendable);
+ entry.pushKV("solvable", out.fSolvable);
+ if (out.fSolvable) {
+ std::unique_ptr<SigningProvider> provider = pwallet->GetSolvingProvider(scriptPubKey);
+ if (provider) {
+ auto descriptor = InferDescriptor(scriptPubKey, *provider);
+ entry.pushKV("desc", descriptor->ToString());
+ }
+ }
+ if (avoid_reuse) entry.pushKV("reused", reused);
+ entry.pushKV("safe", out.fSafe);
+ results.push_back(entry);
+ }
+
+ return results;
+},
+ };
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/encrypt.cpp b/src/wallet/rpc/encrypt.cpp
new file mode 100644
index 0000000000..2b6a2a198d
--- /dev/null
+++ b/src/wallet/rpc/encrypt.cpp
@@ -0,0 +1,250 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <rpc/util.h>
+#include <wallet/rpc/util.h>
+#include <wallet/wallet.h>
+
+
+namespace wallet {
+RPCHelpMan walletpassphrase()
+{
+ return RPCHelpMan{"walletpassphrase",
+ "\nStores the wallet decryption key in memory for 'timeout' seconds.\n"
+ "This is needed prior to performing transactions related to private keys such as sending bitcoins\n"
+ "\nNote:\n"
+ "Issuing the walletpassphrase command while the wallet is already unlocked will set a new unlock\n"
+ "time that overrides the old one.\n",
+ {
+ {"passphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The wallet passphrase"},
+ {"timeout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The time to keep the decryption key in seconds; capped at 100000000 (~3 years)."},
+ },
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ "\nUnlock the wallet for 60 seconds\n"
+ + HelpExampleCli("walletpassphrase", "\"my pass phrase\" 60") +
+ "\nLock the wallet again (before 60 seconds)\n"
+ + HelpExampleCli("walletlock", "") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("walletpassphrase", "\"my pass phrase\", 60")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
+ if (!wallet) return NullUniValue;
+ CWallet* const pwallet = wallet.get();
+
+ int64_t nSleepTime;
+ int64_t relock_time;
+ // Prevent concurrent calls to walletpassphrase with the same wallet.
+ LOCK(pwallet->m_unlock_mutex);
+ {
+ LOCK(pwallet->cs_wallet);
+
+ if (!pwallet->IsCrypted()) {
+ throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an unencrypted wallet, but walletpassphrase was called.");
+ }
+
+ // Note that the walletpassphrase is stored in request.params[0] which is not mlock()ed
+ SecureString strWalletPass;
+ strWalletPass.reserve(100);
+ // TODO: get rid of this .c_str() by implementing SecureString::operator=(std::string)
+ // Alternately, find a way to make request.params[0] mlock()'d to begin with.
+ strWalletPass = request.params[0].get_str().c_str();
+
+ // Get the timeout
+ nSleepTime = request.params[1].get_int64();
+ // Timeout cannot be negative, otherwise it will relock immediately
+ if (nSleepTime < 0) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Timeout cannot be negative.");
+ }
+ // Clamp timeout
+ constexpr int64_t MAX_SLEEP_TIME = 100000000; // larger values trigger a macos/libevent bug?
+ if (nSleepTime > MAX_SLEEP_TIME) {
+ nSleepTime = MAX_SLEEP_TIME;
+ }
+
+ if (strWalletPass.empty()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "passphrase can not be empty");
+ }
+
+ if (!pwallet->Unlock(strWalletPass)) {
+ throw JSONRPCError(RPC_WALLET_PASSPHRASE_INCORRECT, "Error: The wallet passphrase entered was incorrect.");
+ }
+
+ pwallet->TopUpKeyPool();
+
+ pwallet->nRelockTime = GetTime() + nSleepTime;
+ relock_time = pwallet->nRelockTime;
+ }
+
+ // rpcRunLater must be called without cs_wallet held otherwise a deadlock
+ // can occur. The deadlock would happen when RPCRunLater removes the
+ // previous timer (and waits for the callback to finish if already running)
+ // and the callback locks cs_wallet.
+ AssertLockNotHeld(wallet->cs_wallet);
+ // Keep a weak pointer to the wallet so that it is possible to unload the
+ // wallet before the following callback is called. If a valid shared pointer
+ // is acquired in the callback then the wallet is still loaded.
+ std::weak_ptr<CWallet> weak_wallet = wallet;
+ pwallet->chain().rpcRunLater(strprintf("lockwallet(%s)", pwallet->GetName()), [weak_wallet, relock_time] {
+ if (auto shared_wallet = weak_wallet.lock()) {
+ LOCK(shared_wallet->cs_wallet);
+ // Skip if this is not the most recent rpcRunLater callback.
+ if (shared_wallet->nRelockTime != relock_time) return;
+ shared_wallet->Lock();
+ shared_wallet->nRelockTime = 0;
+ }
+ }, nSleepTime);
+
+ return NullUniValue;
+},
+ };
+}
+
+
+RPCHelpMan walletpassphrasechange()
+{
+ return RPCHelpMan{"walletpassphrasechange",
+ "\nChanges the wallet passphrase from 'oldpassphrase' to 'newpassphrase'.\n",
+ {
+ {"oldpassphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The current passphrase"},
+ {"newpassphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The new passphrase"},
+ },
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("walletpassphrasechange", "\"old one\" \"new one\"")
+ + HelpExampleRpc("walletpassphrasechange", "\"old one\", \"new one\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ if (!pwallet->IsCrypted()) {
+ throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an unencrypted wallet, but walletpassphrasechange was called.");
+ }
+
+ // TODO: get rid of these .c_str() calls by implementing SecureString::operator=(std::string)
+ // Alternately, find a way to make request.params[0] mlock()'d to begin with.
+ SecureString strOldWalletPass;
+ strOldWalletPass.reserve(100);
+ strOldWalletPass = request.params[0].get_str().c_str();
+
+ SecureString strNewWalletPass;
+ strNewWalletPass.reserve(100);
+ strNewWalletPass = request.params[1].get_str().c_str();
+
+ if (strOldWalletPass.empty() || strNewWalletPass.empty()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "passphrase can not be empty");
+ }
+
+ if (!pwallet->ChangeWalletPassphrase(strOldWalletPass, strNewWalletPass)) {
+ throw JSONRPCError(RPC_WALLET_PASSPHRASE_INCORRECT, "Error: The wallet passphrase entered was incorrect.");
+ }
+
+ return NullUniValue;
+},
+ };
+}
+
+
+RPCHelpMan walletlock()
+{
+ return RPCHelpMan{"walletlock",
+ "\nRemoves the wallet encryption key from memory, locking the wallet.\n"
+ "After calling this method, you will need to call walletpassphrase again\n"
+ "before being able to call any methods which require the wallet to be unlocked.\n",
+ {},
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ "\nSet the passphrase for 2 minutes to perform a transaction\n"
+ + HelpExampleCli("walletpassphrase", "\"my pass phrase\" 120") +
+ "\nPerform a send (requires passphrase set)\n"
+ + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 1.0") +
+ "\nClear the passphrase since we are done before 2 minutes is up\n"
+ + HelpExampleCli("walletlock", "") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("walletlock", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ if (!pwallet->IsCrypted()) {
+ throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an unencrypted wallet, but walletlock was called.");
+ }
+
+ pwallet->Lock();
+ pwallet->nRelockTime = 0;
+
+ return NullUniValue;
+},
+ };
+}
+
+
+RPCHelpMan encryptwallet()
+{
+ return RPCHelpMan{"encryptwallet",
+ "\nEncrypts the wallet with 'passphrase'. This is for first time encryption.\n"
+ "After this, any calls that interact with private keys such as sending or signing \n"
+ "will require the passphrase to be set prior the making these calls.\n"
+ "Use the walletpassphrase call for this, and then walletlock call.\n"
+ "If the wallet is already encrypted, use the walletpassphrasechange call.\n",
+ {
+ {"passphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The pass phrase to encrypt the wallet with. It must be at least 1 character, but should be long."},
+ },
+ RPCResult{RPCResult::Type::STR, "", "A string with further instructions"},
+ RPCExamples{
+ "\nEncrypt your wallet\n"
+ + HelpExampleCli("encryptwallet", "\"my pass phrase\"") +
+ "\nNow set the passphrase to use the wallet, such as for signing or sending bitcoin\n"
+ + HelpExampleCli("walletpassphrase", "\"my pass phrase\"") +
+ "\nNow we can do something like sign\n"
+ + HelpExampleCli("signmessage", "\"address\" \"test message\"") +
+ "\nNow lock the wallet again by removing the passphrase\n"
+ + HelpExampleCli("walletlock", "") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("encryptwallet", "\"my pass phrase\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
+ throw JSONRPCError(RPC_WALLET_ENCRYPTION_FAILED, "Error: wallet does not contain private keys, nothing to encrypt.");
+ }
+
+ if (pwallet->IsCrypted()) {
+ throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an encrypted wallet, but encryptwallet was called.");
+ }
+
+ // TODO: get rid of this .c_str() by implementing SecureString::operator=(std::string)
+ // Alternately, find a way to make request.params[0] mlock()'d to begin with.
+ SecureString strWalletPass;
+ strWalletPass.reserve(100);
+ strWalletPass = request.params[0].get_str().c_str();
+
+ if (strWalletPass.empty()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "passphrase can not be empty");
+ }
+
+ if (!pwallet->EncryptWallet(strWalletPass)) {
+ throw JSONRPCError(RPC_WALLET_ENCRYPTION_FAILED, "Error: Failed to encrypt the wallet.");
+ }
+
+ return "wallet encrypted; The keypool has been flushed and a new HD seed was generated (if you are using HD). You need to make a new backup.";
+},
+ };
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/signmessage.cpp b/src/wallet/rpc/signmessage.cpp
new file mode 100644
index 0000000000..438d290030
--- /dev/null
+++ b/src/wallet/rpc/signmessage.cpp
@@ -0,0 +1,70 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <key_io.h>
+#include <rpc/util.h>
+#include <util/message.h>
+#include <wallet/rpc/util.h>
+#include <wallet/wallet.h>
+
+#include <univalue.h>
+
+namespace wallet {
+RPCHelpMan signmessage()
+{
+ return RPCHelpMan{"signmessage",
+ "\nSign a message with the private key of an address" +
+ HELP_REQUIRING_PASSPHRASE,
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to use for the private key."},
+ {"message", RPCArg::Type::STR, RPCArg::Optional::NO, "The message to create a signature of."},
+ },
+ RPCResult{
+ RPCResult::Type::STR, "signature", "The signature of the message encoded in base 64"
+ },
+ RPCExamples{
+ "\nUnlock the wallet for 30 seconds\n"
+ + HelpExampleCli("walletpassphrase", "\"mypassphrase\" 30") +
+ "\nCreate the signature\n"
+ + HelpExampleCli("signmessage", "\"1D1ZrZNe3JUo7ZycKEYQQiQAWd9y54F4XX\" \"my message\"") +
+ "\nVerify the signature\n"
+ + HelpExampleCli("verifymessage", "\"1D1ZrZNe3JUo7ZycKEYQQiQAWd9y54F4XX\" \"signature\" \"my message\"") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("signmessage", "\"1D1ZrZNe3JUo7ZycKEYQQiQAWd9y54F4XX\", \"my message\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+ {
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ EnsureWalletIsUnlocked(*pwallet);
+
+ std::string strAddress = request.params[0].get_str();
+ std::string strMessage = request.params[1].get_str();
+
+ CTxDestination dest = DecodeDestination(strAddress);
+ if (!IsValidDestination(dest)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid address");
+ }
+
+ const PKHash* pkhash = std::get_if<PKHash>(&dest);
+ if (!pkhash) {
+ throw JSONRPCError(RPC_TYPE_ERROR, "Address does not refer to key");
+ }
+
+ std::string signature;
+ SigningResult err = pwallet->SignMessage(strMessage, *pkhash, signature);
+ if (err == SigningResult::SIGNING_FAILED) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, SigningResultString(err));
+ } else if (err != SigningResult::OK) {
+ throw JSONRPCError(RPC_WALLET_ERROR, SigningResultString(err));
+ }
+
+ return signature;
+ },
+ };
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/spend.cpp b/src/wallet/rpc/spend.cpp
new file mode 100644
index 0000000000..433b5a1815
--- /dev/null
+++ b/src/wallet/rpc/spend.cpp
@@ -0,0 +1,1446 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <consensus/validation.h>
+#include <core_io.h>
+#include <key_io.h>
+#include <policy/policy.h>
+#include <rpc/rawtransaction_util.h>
+#include <rpc/util.h>
+#include <util/fees.h>
+#include <util/translation.h>
+#include <util/vector.h>
+#include <wallet/coincontrol.h>
+#include <wallet/feebumper.h>
+#include <wallet/rpc/util.h>
+#include <wallet/spend.h>
+#include <wallet/wallet.h>
+
+#include <univalue.h>
+
+
+namespace wallet {
+static void ParseRecipients(const UniValue& address_amounts, const UniValue& subtract_fee_outputs, std::vector<CRecipient> &recipients) {
+ std::set<CTxDestination> destinations;
+ int i = 0;
+ for (const std::string& address: address_amounts.getKeys()) {
+ CTxDestination dest = DecodeDestination(address);
+ if (!IsValidDestination(dest)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, std::string("Invalid Bitcoin address: ") + address);
+ }
+
+ if (destinations.count(dest)) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, std::string("Invalid parameter, duplicated address: ") + address);
+ }
+ destinations.insert(dest);
+
+ CScript script_pub_key = GetScriptForDestination(dest);
+ CAmount amount = AmountFromValue(address_amounts[i++]);
+
+ bool subtract_fee = false;
+ for (unsigned int idx = 0; idx < subtract_fee_outputs.size(); idx++) {
+ const UniValue& addr = subtract_fee_outputs[idx];
+ if (addr.get_str() == address) {
+ subtract_fee = true;
+ }
+ }
+
+ CRecipient recipient = {script_pub_key, amount, subtract_fee};
+ recipients.push_back(recipient);
+ }
+}
+
+UniValue SendMoney(CWallet& wallet, const CCoinControl &coin_control, std::vector<CRecipient> &recipients, mapValue_t map_value, bool verbose)
+{
+ EnsureWalletIsUnlocked(wallet);
+
+ // This function is only used by sendtoaddress and sendmany.
+ // This should always try to sign, if we don't have private keys, don't try to do anything here.
+ if (wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Error: Private keys are disabled for this wallet");
+ }
+
+ // Shuffle recipient list
+ std::shuffle(recipients.begin(), recipients.end(), FastRandomContext());
+
+ // Send
+ CAmount nFeeRequired = 0;
+ int nChangePosRet = -1;
+ bilingual_str error;
+ CTransactionRef tx;
+ FeeCalculation fee_calc_out;
+ const bool fCreated = CreateTransaction(wallet, recipients, tx, nFeeRequired, nChangePosRet, error, coin_control, fee_calc_out, true);
+ if (!fCreated) {
+ throw JSONRPCError(RPC_WALLET_INSUFFICIENT_FUNDS, error.original);
+ }
+ wallet.CommitTransaction(tx, std::move(map_value), {} /* orderForm */);
+ if (verbose) {
+ UniValue entry(UniValue::VOBJ);
+ entry.pushKV("txid", tx->GetHash().GetHex());
+ entry.pushKV("fee_reason", StringForFeeReason(fee_calc_out.reason));
+ return entry;
+ }
+ return tx->GetHash().GetHex();
+}
+
+
+/**
+ * Update coin control with fee estimation based on the given parameters
+ *
+ * @param[in] wallet Wallet reference
+ * @param[in,out] cc Coin control to be updated
+ * @param[in] conf_target UniValue integer; confirmation target in blocks, values between 1 and 1008 are valid per policy/fees.h;
+ * @param[in] estimate_mode UniValue string; fee estimation mode, valid values are "unset", "economical" or "conservative";
+ * @param[in] fee_rate UniValue real; fee rate in sat/vB;
+ * if present, both conf_target and estimate_mode must either be null, or "unset"
+ * @param[in] override_min_fee bool; whether to set fOverrideFeeRate to true to disable minimum fee rate checks and instead
+ * verify only that fee_rate is greater than 0
+ * @throws a JSONRPCError if conf_target, estimate_mode, or fee_rate contain invalid values or are in conflict
+ */
+static void SetFeeEstimateMode(const CWallet& wallet, CCoinControl& cc, const UniValue& conf_target, const UniValue& estimate_mode, const UniValue& fee_rate, bool override_min_fee)
+{
+ if (!fee_rate.isNull()) {
+ if (!conf_target.isNull()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both conf_target and fee_rate. Please provide either a confirmation target in blocks for automatic fee estimation, or an explicit fee rate.");
+ }
+ if (!estimate_mode.isNull() && estimate_mode.get_str() != "unset") {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both estimate_mode and fee_rate");
+ }
+ // Fee rates in sat/vB cannot represent more than 3 significant digits.
+ cc.m_feerate = CFeeRate{AmountFromValue(fee_rate, /* decimals */ 3)};
+ if (override_min_fee) cc.fOverrideFeeRate = true;
+ // Default RBF to true for explicit fee_rate, if unset.
+ if (!cc.m_signal_bip125_rbf) cc.m_signal_bip125_rbf = true;
+ return;
+ }
+ if (!estimate_mode.isNull() && !FeeModeFromString(estimate_mode.get_str(), cc.m_fee_mode)) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, InvalidEstimateModeErrorMessage());
+ }
+ if (!conf_target.isNull()) {
+ cc.m_confirm_target = ParseConfirmTarget(conf_target, wallet.chain().estimateMaxBlocks());
+ }
+}
+
+RPCHelpMan sendtoaddress()
+{
+ return RPCHelpMan{"sendtoaddress",
+ "\nSend an amount to a given address." +
+ HELP_REQUIRING_PASSPHRASE,
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to send to."},
+ {"amount", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "The amount in " + CURRENCY_UNIT + " to send. eg 0.1"},
+ {"comment", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A comment used to store what the transaction is for.\n"
+ "This is not part of the transaction, just kept in your wallet."},
+ {"comment_to", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A comment to store the name of the person or organization\n"
+ "to which you're sending the transaction. This is not part of the \n"
+ "transaction, just kept in your wallet."},
+ {"subtractfeefromamount", RPCArg::Type::BOOL, RPCArg::Default{false}, "The fee will be deducted from the amount being sent.\n"
+ "The recipient will receive less bitcoins than you enter in the amount field."},
+ {"replaceable", RPCArg::Type::BOOL, RPCArg::DefaultHint{"wallet default"}, "Allow this transaction to be replaced by a transaction with higher fees via BIP 125"},
+ {"conf_target", RPCArg::Type::NUM, RPCArg::DefaultHint{"wallet -txconfirmtarget"}, "Confirmation target in blocks"},
+ {"estimate_mode", RPCArg::Type::STR, RPCArg::Default{"unset"}, std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
+ " \"" + FeeModes("\"\n\"") + "\""},
+ {"avoid_reuse", RPCArg::Type::BOOL, RPCArg::Default{true}, "(only available if avoid_reuse wallet flag is set) Avoid spending from dirty addresses; addresses are considered\n"
+ "dirty if they have previously been used in a transaction. If true, this also activates avoidpartialspends, grouping outputs by their addresses."},
+ {"fee_rate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{false}, "If true, return extra information about the transaction."},
+ },
+ {
+ RPCResult{"if verbose is not set or set to false",
+ RPCResult::Type::STR_HEX, "txid", "The transaction id."
+ },
+ RPCResult{"if verbose is set to true",
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "txid", "The transaction id."},
+ {RPCResult::Type::STR, "fee_reason", "The transaction fee reason."}
+ },
+ },
+ },
+ RPCExamples{
+ "\nSend 0.1 BTC\n"
+ + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0.1") +
+ "\nSend 0.1 BTC with a confirmation target of 6 blocks in economical fee estimate mode using positional arguments\n"
+ + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0.1 \"donation\" \"sean's outpost\" false true 6 economical") +
+ "\nSend 0.1 BTC with a fee rate of 1.1 " + CURRENCY_ATOM + "/vB, subtract fee from amount, BIP125-replaceable, using positional arguments\n"
+ + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0.1 \"drinks\" \"room77\" true true null \"unset\" null 1.1") +
+ "\nSend 0.2 BTC with a confirmation target of 6 blocks in economical fee estimate mode using named arguments\n"
+ + HelpExampleCli("-named sendtoaddress", "address=\"" + EXAMPLE_ADDRESS[0] + "\" amount=0.2 conf_target=6 estimate_mode=\"economical\"") +
+ "\nSend 0.5 BTC with a fee rate of 25 " + CURRENCY_ATOM + "/vB using named arguments\n"
+ + HelpExampleCli("-named sendtoaddress", "address=\"" + EXAMPLE_ADDRESS[0] + "\" amount=0.5 fee_rate=25")
+ + HelpExampleCli("-named sendtoaddress", "address=\"" + EXAMPLE_ADDRESS[0] + "\" amount=0.5 fee_rate=25 subtractfeefromamount=false replaceable=true avoid_reuse=true comment=\"2 pizzas\" comment_to=\"jeremy\" verbose=true")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ // Wallet comments
+ mapValue_t mapValue;
+ if (!request.params[2].isNull() && !request.params[2].get_str().empty())
+ mapValue["comment"] = request.params[2].get_str();
+ if (!request.params[3].isNull() && !request.params[3].get_str().empty())
+ mapValue["to"] = request.params[3].get_str();
+
+ bool fSubtractFeeFromAmount = false;
+ if (!request.params[4].isNull()) {
+ fSubtractFeeFromAmount = request.params[4].get_bool();
+ }
+
+ CCoinControl coin_control;
+ if (!request.params[5].isNull()) {
+ coin_control.m_signal_bip125_rbf = request.params[5].get_bool();
+ }
+
+ coin_control.m_avoid_address_reuse = GetAvoidReuseFlag(*pwallet, request.params[8]);
+ // We also enable partial spend avoidance if reuse avoidance is set.
+ coin_control.m_avoid_partial_spends |= coin_control.m_avoid_address_reuse;
+
+ SetFeeEstimateMode(*pwallet, coin_control, /* conf_target */ request.params[6], /* estimate_mode */ request.params[7], /* fee_rate */ request.params[9], /* override_min_fee */ false);
+
+ EnsureWalletIsUnlocked(*pwallet);
+
+ UniValue address_amounts(UniValue::VOBJ);
+ const std::string address = request.params[0].get_str();
+ address_amounts.pushKV(address, request.params[1]);
+ UniValue subtractFeeFromAmount(UniValue::VARR);
+ if (fSubtractFeeFromAmount) {
+ subtractFeeFromAmount.push_back(address);
+ }
+
+ std::vector<CRecipient> recipients;
+ ParseRecipients(address_amounts, subtractFeeFromAmount, recipients);
+ const bool verbose{request.params[10].isNull() ? false : request.params[10].get_bool()};
+
+ return SendMoney(*pwallet, coin_control, recipients, mapValue, verbose);
+},
+ };
+}
+
+RPCHelpMan sendmany()
+{
+ return RPCHelpMan{"sendmany",
+ "\nSend multiple times. Amounts are double-precision floating point numbers." +
+ HELP_REQUIRING_PASSPHRASE,
+ {
+ {"dummy", RPCArg::Type::STR, RPCArg::Optional::NO, "Must be set to \"\" for backwards compatibility.", "\"\""},
+ {"amounts", RPCArg::Type::OBJ_USER_KEYS, RPCArg::Optional::NO, "The addresses and amounts",
+ {
+ {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "The bitcoin address is the key, the numeric amount (can be string) in " + CURRENCY_UNIT + " is the value"},
+ },
+ },
+ {"minconf", RPCArg::Type::NUM, RPCArg::Optional::OMITTED_NAMED_ARG, "Ignored dummy value"},
+ {"comment", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A comment"},
+ {"subtractfeefrom", RPCArg::Type::ARR, RPCArg::Optional::OMITTED_NAMED_ARG, "The addresses.\n"
+ "The fee will be equally deducted from the amount of each selected address.\n"
+ "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
+ "If no addresses are specified here, the sender pays the fee.",
+ {
+ {"address", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "Subtract fee from this address"},
+ },
+ },
+ {"replaceable", RPCArg::Type::BOOL, RPCArg::DefaultHint{"wallet default"}, "Allow this transaction to be replaced by a transaction with higher fees via BIP 125"},
+ {"conf_target", RPCArg::Type::NUM, RPCArg::DefaultHint{"wallet -txconfirmtarget"}, "Confirmation target in blocks"},
+ {"estimate_mode", RPCArg::Type::STR, RPCArg::Default{"unset"}, std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
+ " \"" + FeeModes("\"\n\"") + "\""},
+ {"fee_rate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{false}, "If true, return extra infomration about the transaction."},
+ },
+ {
+ RPCResult{"if verbose is not set or set to false",
+ RPCResult::Type::STR_HEX, "txid", "The transaction id for the send. Only 1 transaction is created regardless of\n"
+ "the number of addresses."
+ },
+ RPCResult{"if verbose is set to true",
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "txid", "The transaction id for the send. Only 1 transaction is created regardless of\n"
+ "the number of addresses."},
+ {RPCResult::Type::STR, "fee_reason", "The transaction fee reason."}
+ },
+ },
+ },
+ RPCExamples{
+ "\nSend two amounts to two different addresses:\n"
+ + HelpExampleCli("sendmany", "\"\" \"{\\\"" + EXAMPLE_ADDRESS[0] + "\\\":0.01,\\\"" + EXAMPLE_ADDRESS[1] + "\\\":0.02}\"") +
+ "\nSend two amounts to two different addresses setting the confirmation and comment:\n"
+ + HelpExampleCli("sendmany", "\"\" \"{\\\"" + EXAMPLE_ADDRESS[0] + "\\\":0.01,\\\"" + EXAMPLE_ADDRESS[1] + "\\\":0.02}\" 6 \"testing\"") +
+ "\nSend two amounts to two different addresses, subtract fee from amount:\n"
+ + HelpExampleCli("sendmany", "\"\" \"{\\\"" + EXAMPLE_ADDRESS[0] + "\\\":0.01,\\\"" + EXAMPLE_ADDRESS[1] + "\\\":0.02}\" 1 \"\" \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("sendmany", "\"\", {\"" + EXAMPLE_ADDRESS[0] + "\":0.01,\"" + EXAMPLE_ADDRESS[1] + "\":0.02}, 6, \"testing\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ if (!request.params[0].isNull() && !request.params[0].get_str().empty()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Dummy value must be set to \"\"");
+ }
+ UniValue sendTo = request.params[1].get_obj();
+
+ mapValue_t mapValue;
+ if (!request.params[3].isNull() && !request.params[3].get_str().empty())
+ mapValue["comment"] = request.params[3].get_str();
+
+ UniValue subtractFeeFromAmount(UniValue::VARR);
+ if (!request.params[4].isNull())
+ subtractFeeFromAmount = request.params[4].get_array();
+
+ CCoinControl coin_control;
+ if (!request.params[5].isNull()) {
+ coin_control.m_signal_bip125_rbf = request.params[5].get_bool();
+ }
+
+ SetFeeEstimateMode(*pwallet, coin_control, /* conf_target */ request.params[6], /* estimate_mode */ request.params[7], /* fee_rate */ request.params[8], /* override_min_fee */ false);
+
+ std::vector<CRecipient> recipients;
+ ParseRecipients(sendTo, subtractFeeFromAmount, recipients);
+ const bool verbose{request.params[9].isNull() ? false : request.params[9].get_bool()};
+
+ return SendMoney(*pwallet, coin_control, recipients, std::move(mapValue), verbose);
+},
+ };
+}
+
+RPCHelpMan settxfee()
+{
+ return RPCHelpMan{"settxfee",
+ "\nSet the transaction fee rate in " + CURRENCY_UNIT + "/kvB for this wallet. Overrides the global -paytxfee command line parameter.\n"
+ "Can be deactivated by passing 0 as the fee. In that case automatic fee selection will be used by default.\n",
+ {
+ {"amount", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "The transaction fee rate in " + CURRENCY_UNIT + "/kvB"},
+ },
+ RPCResult{
+ RPCResult::Type::BOOL, "", "Returns true if successful"
+ },
+ RPCExamples{
+ HelpExampleCli("settxfee", "0.00001")
+ + HelpExampleRpc("settxfee", "0.00001")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LOCK(pwallet->cs_wallet);
+
+ CAmount nAmount = AmountFromValue(request.params[0]);
+ CFeeRate tx_fee_rate(nAmount, 1000);
+ CFeeRate max_tx_fee_rate(pwallet->m_default_max_tx_fee, 1000);
+ if (tx_fee_rate == CFeeRate(0)) {
+ // automatic selection
+ } else if (tx_fee_rate < pwallet->chain().relayMinFee()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("txfee cannot be less than min relay tx fee (%s)", pwallet->chain().relayMinFee().ToString()));
+ } else if (tx_fee_rate < pwallet->m_min_fee) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("txfee cannot be less than wallet min fee (%s)", pwallet->m_min_fee.ToString()));
+ } else if (tx_fee_rate > max_tx_fee_rate) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("txfee cannot be more than wallet max tx fee (%s)", max_tx_fee_rate.ToString()));
+ }
+
+ pwallet->m_pay_tx_fee = tx_fee_rate;
+ return true;
+},
+ };
+}
+
+
+// Only includes key documentation where the key is snake_case in all RPC methods. MixedCase keys can be added later.
+static std::vector<RPCArg> FundTxDoc()
+{
+ return {
+ {"conf_target", RPCArg::Type::NUM, RPCArg::DefaultHint{"wallet -txconfirmtarget"}, "Confirmation target in blocks"},
+ {"estimate_mode", RPCArg::Type::STR, RPCArg::Default{"unset"}, std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
+ " \"" + FeeModes("\"\n\"") + "\""},
+ {"replaceable", RPCArg::Type::BOOL, RPCArg::DefaultHint{"wallet default"}, "Marks this transaction as BIP125-replaceable.\n"
+ "Allows this transaction to be replaced by a transaction with higher fees"},
+ {"solving_data", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "Keys and scripts needed for producing a final transaction with a dummy signature.\n"
+ "Used for fee estimation during coin selection.",
+ {
+ {"pubkeys", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "Public keys involved in this transaction.",
+ {
+ {"pubkey", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, "A public key"},
+ }},
+ {"scripts", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "Scripts involved in this transaction.",
+ {
+ {"script", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, "A script"},
+ }},
+ {"descriptors", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "Descriptors that provide solving data for this transaction.",
+ {
+ {"descriptor", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "A descriptor"},
+ }},
+ }},
+ };
+}
+
+void FundTransaction(CWallet& wallet, CMutableTransaction& tx, CAmount& fee_out, int& change_position, const UniValue& options, CCoinControl& coinControl, bool override_min_fee)
+{
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
+
+ change_position = -1;
+ bool lockUnspents = false;
+ UniValue subtractFeeFromOutputs;
+ std::set<int> setSubtractFeeFromOutputs;
+
+ if (!options.isNull()) {
+ if (options.type() == UniValue::VBOOL) {
+ // backward compatibility bool only fallback
+ coinControl.fAllowWatchOnly = options.get_bool();
+ }
+ else {
+ RPCTypeCheckArgument(options, UniValue::VOBJ);
+ RPCTypeCheckObj(options,
+ {
+ {"add_inputs", UniValueType(UniValue::VBOOL)},
+ {"include_unsafe", UniValueType(UniValue::VBOOL)},
+ {"add_to_wallet", UniValueType(UniValue::VBOOL)},
+ {"changeAddress", UniValueType(UniValue::VSTR)},
+ {"change_address", UniValueType(UniValue::VSTR)},
+ {"changePosition", UniValueType(UniValue::VNUM)},
+ {"change_position", UniValueType(UniValue::VNUM)},
+ {"change_type", UniValueType(UniValue::VSTR)},
+ {"includeWatching", UniValueType(UniValue::VBOOL)},
+ {"include_watching", UniValueType(UniValue::VBOOL)},
+ {"inputs", UniValueType(UniValue::VARR)},
+ {"lockUnspents", UniValueType(UniValue::VBOOL)},
+ {"lock_unspents", UniValueType(UniValue::VBOOL)},
+ {"locktime", UniValueType(UniValue::VNUM)},
+ {"fee_rate", UniValueType()}, // will be checked by AmountFromValue() in SetFeeEstimateMode()
+ {"feeRate", UniValueType()}, // will be checked by AmountFromValue() below
+ {"psbt", UniValueType(UniValue::VBOOL)},
+ {"solving_data", UniValueType(UniValue::VOBJ)},
+ {"subtractFeeFromOutputs", UniValueType(UniValue::VARR)},
+ {"subtract_fee_from_outputs", UniValueType(UniValue::VARR)},
+ {"replaceable", UniValueType(UniValue::VBOOL)},
+ {"conf_target", UniValueType(UniValue::VNUM)},
+ {"estimate_mode", UniValueType(UniValue::VSTR)},
+ {"input_weights", UniValueType(UniValue::VARR)},
+ },
+ true, true);
+
+ if (options.exists("add_inputs") ) {
+ coinControl.m_add_inputs = options["add_inputs"].get_bool();
+ }
+
+ if (options.exists("changeAddress") || options.exists("change_address")) {
+ const std::string change_address_str = (options.exists("change_address") ? options["change_address"] : options["changeAddress"]).get_str();
+ CTxDestination dest = DecodeDestination(change_address_str);
+
+ if (!IsValidDestination(dest)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Change address must be a valid bitcoin address");
+ }
+
+ coinControl.destChange = dest;
+ }
+
+ if (options.exists("changePosition") || options.exists("change_position")) {
+ change_position = (options.exists("change_position") ? options["change_position"] : options["changePosition"]).get_int();
+ }
+
+ if (options.exists("change_type")) {
+ if (options.exists("changeAddress") || options.exists("change_address")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both change address and address type options");
+ }
+ if (std::optional<OutputType> parsed = ParseOutputType(options["change_type"].get_str())) {
+ coinControl.m_change_type.emplace(parsed.value());
+ } else {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown change type '%s'", options["change_type"].get_str()));
+ }
+ }
+
+ const UniValue include_watching_option = options.exists("include_watching") ? options["include_watching"] : options["includeWatching"];
+ coinControl.fAllowWatchOnly = ParseIncludeWatchonly(include_watching_option, wallet);
+
+ if (options.exists("lockUnspents") || options.exists("lock_unspents")) {
+ lockUnspents = (options.exists("lock_unspents") ? options["lock_unspents"] : options["lockUnspents"]).get_bool();
+ }
+
+ if (options.exists("include_unsafe")) {
+ coinControl.m_include_unsafe_inputs = options["include_unsafe"].get_bool();
+ }
+
+ if (options.exists("feeRate")) {
+ if (options.exists("fee_rate")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both fee_rate (" + CURRENCY_ATOM + "/vB) and feeRate (" + CURRENCY_UNIT + "/kvB)");
+ }
+ if (options.exists("conf_target")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both conf_target and feeRate. Please provide either a confirmation target in blocks for automatic fee estimation, or an explicit fee rate.");
+ }
+ if (options.exists("estimate_mode")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both estimate_mode and feeRate");
+ }
+ coinControl.m_feerate = CFeeRate(AmountFromValue(options["feeRate"]));
+ coinControl.fOverrideFeeRate = true;
+ }
+
+ if (options.exists("subtractFeeFromOutputs") || options.exists("subtract_fee_from_outputs") )
+ subtractFeeFromOutputs = (options.exists("subtract_fee_from_outputs") ? options["subtract_fee_from_outputs"] : options["subtractFeeFromOutputs"]).get_array();
+
+ if (options.exists("replaceable")) {
+ coinControl.m_signal_bip125_rbf = options["replaceable"].get_bool();
+ }
+ SetFeeEstimateMode(wallet, coinControl, options["conf_target"], options["estimate_mode"], options["fee_rate"], override_min_fee);
+ }
+ } else {
+ // if options is null and not a bool
+ coinControl.fAllowWatchOnly = ParseIncludeWatchonly(NullUniValue, wallet);
+ }
+
+ if (options.exists("solving_data")) {
+ const UniValue solving_data = options["solving_data"].get_obj();
+ if (solving_data.exists("pubkeys")) {
+ for (const UniValue& pk_univ : solving_data["pubkeys"].get_array().getValues()) {
+ const std::string& pk_str = pk_univ.get_str();
+ if (!IsHex(pk_str)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("'%s' is not hex", pk_str));
+ }
+ const std::vector<unsigned char> data(ParseHex(pk_str));
+ const CPubKey pubkey(data.begin(), data.end());
+ if (!pubkey.IsFullyValid()) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("'%s' is not a valid public key", pk_str));
+ }
+ coinControl.m_external_provider.pubkeys.emplace(pubkey.GetID(), pubkey);
+ // Add witness script for pubkeys
+ const CScript wit_script = GetScriptForDestination(WitnessV0KeyHash(pubkey));
+ coinControl.m_external_provider.scripts.emplace(CScriptID(wit_script), wit_script);
+ }
+ }
+
+ if (solving_data.exists("scripts")) {
+ for (const UniValue& script_univ : solving_data["scripts"].get_array().getValues()) {
+ const std::string& script_str = script_univ.get_str();
+ if (!IsHex(script_str)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("'%s' is not hex", script_str));
+ }
+ std::vector<unsigned char> script_data(ParseHex(script_str));
+ const CScript script(script_data.begin(), script_data.end());
+ coinControl.m_external_provider.scripts.emplace(CScriptID(script), script);
+ }
+ }
+
+ if (solving_data.exists("descriptors")) {
+ for (const UniValue& desc_univ : solving_data["descriptors"].get_array().getValues()) {
+ const std::string& desc_str = desc_univ.get_str();
+ FlatSigningProvider desc_out;
+ std::string error;
+ std::vector<CScript> scripts_temp;
+ std::unique_ptr<Descriptor> desc = Parse(desc_str, desc_out, error, true);
+ if (!desc) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Unable to parse descriptor '%s': %s", desc_str, error));
+ }
+ desc->Expand(0, desc_out, scripts_temp, desc_out);
+ coinControl.m_external_provider = Merge(coinControl.m_external_provider, desc_out);
+ }
+ }
+ }
+
+ if (options.exists("input_weights")) {
+ for (const UniValue& input : options["input_weights"].get_array().getValues()) {
+ uint256 txid = ParseHashO(input, "txid");
+
+ const UniValue& vout_v = find_value(input, "vout");
+ if (!vout_v.isNum()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, missing vout key");
+ }
+ int vout = vout_v.get_int();
+ if (vout < 0) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, vout cannot be negative");
+ }
+
+ const UniValue& weight_v = find_value(input, "weight");
+ if (!weight_v.isNum()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, missing weight key");
+ }
+ int64_t weight = weight_v.get_int64();
+ const int64_t min_input_weight = GetTransactionInputWeight(CTxIn());
+ CHECK_NONFATAL(min_input_weight == 165);
+ if (weight < min_input_weight) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, weight cannot be less than 165 (41 bytes (size of outpoint + sequence + empty scriptSig) * 4 (witness scaling factor)) + 1 (empty witness)");
+ }
+ if (weight > MAX_STANDARD_TX_WEIGHT) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid parameter, weight cannot be greater than the maximum standard tx weight of %d", MAX_STANDARD_TX_WEIGHT));
+ }
+
+ coinControl.SetInputWeight(COutPoint(txid, vout), weight);
+ }
+ }
+
+ if (tx.vout.size() == 0)
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "TX must have at least one output");
+
+ if (change_position != -1 && (change_position < 0 || (unsigned int)change_position > tx.vout.size()))
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "changePosition out of bounds");
+
+ for (unsigned int idx = 0; idx < subtractFeeFromOutputs.size(); idx++) {
+ int pos = subtractFeeFromOutputs[idx].get_int();
+ if (setSubtractFeeFromOutputs.count(pos))
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid parameter, duplicated position: %d", pos));
+ if (pos < 0)
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid parameter, negative position: %d", pos));
+ if (pos >= int(tx.vout.size()))
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid parameter, position too large: %d", pos));
+ setSubtractFeeFromOutputs.insert(pos);
+ }
+
+ // Fetch specified UTXOs from the UTXO set to get the scriptPubKeys and values of the outputs being selected
+ // and to match with the given solving_data. Only used for non-wallet outputs.
+ std::map<COutPoint, Coin> coins;
+ for (const CTxIn& txin : tx.vin) {
+ coins[txin.prevout]; // Create empty map entry keyed by prevout.
+ }
+ wallet.chain().findCoins(coins);
+ for (const auto& coin : coins) {
+ if (!coin.second.out.IsNull()) {
+ coinControl.SelectExternal(coin.first, coin.second.out);
+ }
+ }
+
+ bilingual_str error;
+
+ if (!FundTransaction(wallet, tx, fee_out, change_position, error, lockUnspents, setSubtractFeeFromOutputs, coinControl)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, error.original);
+ }
+}
+
+static void SetOptionsInputWeights(const UniValue& inputs, UniValue& options)
+{
+ if (options.exists("input_weights")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Input weights should be specified in inputs rather than in options.");
+ }
+ if (inputs.size() == 0) {
+ return;
+ }
+ UniValue weights(UniValue::VARR);
+ for (const UniValue& input : inputs.getValues()) {
+ if (input.exists("weight")) {
+ weights.push_back(input);
+ }
+ }
+ options.pushKV("input_weights", weights);
+}
+
+RPCHelpMan fundrawtransaction()
+{
+ return RPCHelpMan{"fundrawtransaction",
+ "\nIf the transaction has no inputs, they will be automatically selected to meet its out value.\n"
+ "It will add at most one change output to the outputs.\n"
+ "No existing outputs will be modified unless \"subtractFeeFromOutputs\" is specified.\n"
+ "Note that inputs which were signed may need to be resigned after completion since in/outputs have been added.\n"
+ "The inputs added will not be signed, use signrawtransactionwithkey\n"
+ "or signrawtransactionwithwallet for that.\n"
+ "All existing inputs must either have their previous output transaction be in the wallet\n"
+ "or be in the UTXO set. Solving data must be provided for non-wallet inputs.\n"
+ "Note that all inputs selected must be of standard form and P2SH scripts must be\n"
+ "in the wallet using importaddress or addmultisigaddress (to calculate fees).\n"
+ "You can see whether this is the case by checking the \"solvable\" field in the listunspent output.\n"
+ "Only pay-to-pubkey, multisig, and P2SH versions thereof are currently supported for watch-only\n",
+ {
+ {"hexstring", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The hex string of the raw transaction"},
+ {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "for backward compatibility: passing in a true instead of an object will result in {\"includeWatching\":true}",
+ Cat<std::vector<RPCArg>>(
+ {
+ {"add_inputs", RPCArg::Type::BOOL, RPCArg::Default{true}, "For a transaction with existing inputs, automatically include more if they are not enough."},
+ {"include_unsafe", RPCArg::Type::BOOL, RPCArg::Default{false}, "Include inputs that are not safe to spend (unconfirmed transactions from outside keys and unconfirmed replacement transactions).\n"
+ "Warning: the resulting transaction may become invalid if one of the unsafe inputs disappears.\n"
+ "If that happens, you will need to fund the transaction with different inputs and republish it."},
+ {"changeAddress", RPCArg::Type::STR, RPCArg::DefaultHint{"pool address"}, "The bitcoin address to receive the change"},
+ {"changePosition", RPCArg::Type::NUM, RPCArg::DefaultHint{"random"}, "The index of the change output"},
+ {"change_type", RPCArg::Type::STR, RPCArg::DefaultHint{"set by -changetype"}, "The output type to use. Only valid if changeAddress is not specified. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
+ {"includeWatching", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Also select inputs which are watch only.\n"
+ "Only solvable inputs can be used. Watch-only destinations are solvable if the public key and/or output script was imported,\n"
+ "e.g. with 'importpubkey' or 'importmulti' with the 'pubkeys' or 'desc' field."},
+ {"lockUnspents", RPCArg::Type::BOOL, RPCArg::Default{false}, "Lock selected unspent outputs"},
+ {"fee_rate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
+ {"feeRate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_UNIT + "/kvB."},
+ {"subtractFeeFromOutputs", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "The integers.\n"
+ "The fee will be equally deducted from the amount of each specified output.\n"
+ "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
+ "If no outputs are specified here, the sender pays the fee.",
+ {
+ {"vout_index", RPCArg::Type::NUM, RPCArg::Optional::OMITTED, "The zero-based output index, before a change output is added."},
+ },
+ },
+ {"input_weights", RPCArg::Type::ARR, RPCArg::Optional::OMITTED_NAMED_ARG, "Inputs and their corresponding weights",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
+ {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output index"},
+ {"weight", RPCArg::Type::NUM, RPCArg::Optional::NO, "The maximum weight for this input, "
+ "including the weight of the outpoint and sequence number. "
+ "Note that serialized signature sizes are not guaranteed to be consistent, "
+ "so the maximum DER signatures size of 73 bytes should be used when considering ECDSA signatures."
+ "Remember to convert serialized sizes to weight units when necessary."},
+ },
+ },
+ },
+ FundTxDoc()),
+ "options"},
+ {"iswitness", RPCArg::Type::BOOL, RPCArg::DefaultHint{"depends on heuristic tests"}, "Whether the transaction hex is a serialized witness transaction.\n"
+ "If iswitness is not present, heuristic tests will be used in decoding.\n"
+ "If true, only witness deserialization will be tried.\n"
+ "If false, only non-witness deserialization will be tried.\n"
+ "This boolean should reflect whether the transaction has inputs\n"
+ "(e.g. fully valid, or on-chain transactions), if known by the caller."
+ },
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "hex", "The resulting raw transaction (hex-encoded string)"},
+ {RPCResult::Type::STR_AMOUNT, "fee", "Fee in " + CURRENCY_UNIT + " the resulting transaction pays"},
+ {RPCResult::Type::NUM, "changepos", "The position of the added change output, or -1"},
+ }
+ },
+ RPCExamples{
+ "\nCreate a transaction with no inputs\n"
+ + HelpExampleCli("createrawtransaction", "\"[]\" \"{\\\"myaddress\\\":0.01}\"") +
+ "\nAdd sufficient unsigned inputs to meet the output value\n"
+ + HelpExampleCli("fundrawtransaction", "\"rawtransactionhex\"") +
+ "\nSign the transaction\n"
+ + HelpExampleCli("signrawtransactionwithwallet", "\"fundedtransactionhex\"") +
+ "\nSend the transaction\n"
+ + HelpExampleCli("sendrawtransaction", "\"signedtransactionhex\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ RPCTypeCheck(request.params, {UniValue::VSTR, UniValueType(), UniValue::VBOOL});
+
+ // parse hex string from parameter
+ CMutableTransaction tx;
+ bool try_witness = request.params[2].isNull() ? true : request.params[2].get_bool();
+ bool try_no_witness = request.params[2].isNull() ? true : !request.params[2].get_bool();
+ if (!DecodeHexTx(tx, request.params[0].get_str(), try_no_witness, try_witness)) {
+ throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "TX decode failed");
+ }
+
+ CAmount fee;
+ int change_position;
+ CCoinControl coin_control;
+ // Automatically select (additional) coins. Can be overridden by options.add_inputs.
+ coin_control.m_add_inputs = true;
+ FundTransaction(*pwallet, tx, fee, change_position, request.params[1], coin_control, /* override_min_fee */ true);
+
+ UniValue result(UniValue::VOBJ);
+ result.pushKV("hex", EncodeHexTx(CTransaction(tx)));
+ result.pushKV("fee", ValueFromAmount(fee));
+ result.pushKV("changepos", change_position);
+
+ return result;
+},
+ };
+}
+
+RPCHelpMan signrawtransactionwithwallet()
+{
+ return RPCHelpMan{"signrawtransactionwithwallet",
+ "\nSign inputs for raw transaction (serialized, hex-encoded).\n"
+ "The second optional argument (may be null) is an array of previous transaction outputs that\n"
+ "this transaction depends on but may not yet be in the block chain." +
+ HELP_REQUIRING_PASSPHRASE,
+ {
+ {"hexstring", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction hex string"},
+ {"prevtxs", RPCArg::Type::ARR, RPCArg::Optional::OMITTED_NAMED_ARG, "The previous dependent transaction outputs",
+ {
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
+ {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
+ {"scriptPubKey", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "script key"},
+ {"redeemScript", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, "(required for P2SH) redeem script"},
+ {"witnessScript", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, "(required for P2WSH or P2SH-P2WSH) witness script"},
+ {"amount", RPCArg::Type::AMOUNT, RPCArg::Optional::OMITTED, "(required for Segwit inputs) the amount spent"},
+ },
+ },
+ },
+ },
+ {"sighashtype", RPCArg::Type::STR, RPCArg::Default{"DEFAULT for Taproot, ALL otherwise"}, "The signature hash type. Must be one of\n"
+ " \"DEFAULT\"\n"
+ " \"ALL\"\n"
+ " \"NONE\"\n"
+ " \"SINGLE\"\n"
+ " \"ALL|ANYONECANPAY\"\n"
+ " \"NONE|ANYONECANPAY\"\n"
+ " \"SINGLE|ANYONECANPAY\""},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "hex", "The hex-encoded raw transaction with signature(s)"},
+ {RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
+ {RPCResult::Type::ARR, "errors", /*optional=*/true, "Script verification errors (if there are any)",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR_HEX, "txid", "The hash of the referenced, previous transaction"},
+ {RPCResult::Type::NUM, "vout", "The index of the output to spent and used as input"},
+ {RPCResult::Type::ARR, "witness", "",
+ {
+ {RPCResult::Type::STR_HEX, "witness", ""},
+ }},
+ {RPCResult::Type::STR_HEX, "scriptSig", "The hex-encoded signature script"},
+ {RPCResult::Type::NUM, "sequence", "Script sequence number"},
+ {RPCResult::Type::STR, "error", "Verification or signing error related to the input"},
+ }},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("signrawtransactionwithwallet", "\"myhex\"")
+ + HelpExampleRpc("signrawtransactionwithwallet", "\"myhex\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ RPCTypeCheck(request.params, {UniValue::VSTR, UniValue::VARR, UniValue::VSTR}, true);
+
+ CMutableTransaction mtx;
+ if (!DecodeHexTx(mtx, request.params[0].get_str())) {
+ throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "TX decode failed. Make sure the tx has at least one input.");
+ }
+
+ // Sign the transaction
+ LOCK(pwallet->cs_wallet);
+ EnsureWalletIsUnlocked(*pwallet);
+
+ // Fetch previous transactions (inputs):
+ std::map<COutPoint, Coin> coins;
+ for (const CTxIn& txin : mtx.vin) {
+ coins[txin.prevout]; // Create empty map entry keyed by prevout.
+ }
+ pwallet->chain().findCoins(coins);
+
+ // Parse the prevtxs array
+ ParsePrevouts(request.params[1], nullptr, coins);
+
+ int nHashType = ParseSighashString(request.params[2]);
+
+ // Script verification errors
+ std::map<int, bilingual_str> input_errors;
+
+ bool complete = pwallet->SignTransaction(mtx, coins, nHashType, input_errors);
+ UniValue result(UniValue::VOBJ);
+ SignTransactionResultToJSON(mtx, complete, coins, input_errors, result);
+ return result;
+},
+ };
+}
+
+static RPCHelpMan bumpfee_helper(std::string method_name)
+{
+ const bool want_psbt = method_name == "psbtbumpfee";
+ const std::string incremental_fee{CFeeRate(DEFAULT_INCREMENTAL_RELAY_FEE).ToString(FeeEstimateMode::SAT_VB)};
+
+ return RPCHelpMan{method_name,
+ "\nBumps the fee of an opt-in-RBF transaction T, replacing it with a new transaction B.\n"
+ + std::string(want_psbt ? "Returns a PSBT instead of creating and signing a new transaction.\n" : "") +
+ "An opt-in RBF transaction with the given txid must be in the wallet.\n"
+ "The command will pay the additional fee by reducing change outputs or adding inputs when necessary.\n"
+ "It may add a new change output if one does not already exist.\n"
+ "All inputs in the original transaction will be included in the replacement transaction.\n"
+ "The command will fail if the wallet or mempool contains a transaction that spends one of T's outputs.\n"
+ "By default, the new fee will be calculated automatically using the estimatesmartfee RPC.\n"
+ "The user can specify a confirmation target for estimatesmartfee.\n"
+ "Alternatively, the user can specify a fee rate in " + CURRENCY_ATOM + "/vB for the new transaction.\n"
+ "At a minimum, the new fee rate must be high enough to pay an additional new relay fee (incrementalfee\n"
+ "returned by getnetworkinfo) to enter the node's mempool.\n"
+ "* WARNING: before version 0.21, fee_rate was in " + CURRENCY_UNIT + "/kvB. As of 0.21, fee_rate is in " + CURRENCY_ATOM + "/vB. *\n",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The txid to be bumped"},
+ {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "",
+ {
+ {"conf_target", RPCArg::Type::NUM, RPCArg::DefaultHint{"wallet -txconfirmtarget"}, "Confirmation target in blocks\n"},
+ {"fee_rate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"},
+ "\nSpecify a fee rate in " + CURRENCY_ATOM + "/vB instead of relying on the built-in fee estimator.\n"
+ "Must be at least " + incremental_fee + " higher than the current transaction fee rate.\n"
+ "WARNING: before version 0.21, fee_rate was in " + CURRENCY_UNIT + "/kvB. As of 0.21, fee_rate is in " + CURRENCY_ATOM + "/vB.\n"},
+ {"replaceable", RPCArg::Type::BOOL, RPCArg::Default{true}, "Whether the new transaction should still be\n"
+ "marked bip-125 replaceable. If true, the sequence numbers in the transaction will\n"
+ "be left unchanged from the original. If false, any input sequence numbers in the\n"
+ "original transaction that were less than 0xfffffffe will be increased to 0xfffffffe\n"
+ "so the new transaction will not be explicitly bip-125 replaceable (though it may\n"
+ "still be replaceable in practice, for example if it has unconfirmed ancestors which\n"
+ "are replaceable).\n"},
+ {"estimate_mode", RPCArg::Type::STR, RPCArg::Default{"unset"}, "The fee estimate mode, must be one of (case insensitive):\n"
+ "\"" + FeeModes("\"\n\"") + "\""},
+ },
+ "options"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "", Cat(
+ want_psbt ?
+ std::vector<RPCResult>{{RPCResult::Type::STR, "psbt", "The base64-encoded unsigned PSBT of the new transaction."}} :
+ std::vector<RPCResult>{{RPCResult::Type::STR_HEX, "txid", "The id of the new transaction."}},
+ {
+ {RPCResult::Type::STR_AMOUNT, "origfee", "The fee of the replaced transaction."},
+ {RPCResult::Type::STR_AMOUNT, "fee", "The fee of the new transaction."},
+ {RPCResult::Type::ARR, "errors", "Errors encountered during processing (may be empty).",
+ {
+ {RPCResult::Type::STR, "", ""},
+ }},
+ })
+ },
+ RPCExamples{
+ "\nBump the fee, get the new transaction\'s " + std::string(want_psbt ? "psbt" : "txid") + "\n" +
+ HelpExampleCli(method_name, "<txid>")
+ },
+ [want_psbt](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && !want_psbt) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "bumpfee is not available with wallets that have private keys disabled. Use psbtbumpfee instead.");
+ }
+
+ RPCTypeCheck(request.params, {UniValue::VSTR, UniValue::VOBJ});
+ uint256 hash(ParseHashV(request.params[0], "txid"));
+
+ CCoinControl coin_control;
+ coin_control.fAllowWatchOnly = pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
+ // optional parameters
+ coin_control.m_signal_bip125_rbf = true;
+
+ if (!request.params[1].isNull()) {
+ UniValue options = request.params[1];
+ RPCTypeCheckObj(options,
+ {
+ {"confTarget", UniValueType(UniValue::VNUM)},
+ {"conf_target", UniValueType(UniValue::VNUM)},
+ {"fee_rate", UniValueType()}, // will be checked by AmountFromValue() in SetFeeEstimateMode()
+ {"replaceable", UniValueType(UniValue::VBOOL)},
+ {"estimate_mode", UniValueType(UniValue::VSTR)},
+ },
+ true, true);
+
+ if (options.exists("confTarget") && options.exists("conf_target")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "confTarget and conf_target options should not both be set. Use conf_target (confTarget is deprecated).");
+ }
+
+ auto conf_target = options.exists("confTarget") ? options["confTarget"] : options["conf_target"];
+
+ if (options.exists("replaceable")) {
+ coin_control.m_signal_bip125_rbf = options["replaceable"].get_bool();
+ }
+ SetFeeEstimateMode(*pwallet, coin_control, conf_target, options["estimate_mode"], options["fee_rate"], /* override_min_fee */ false);
+ }
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ EnsureWalletIsUnlocked(*pwallet);
+
+
+ std::vector<bilingual_str> errors;
+ CAmount old_fee;
+ CAmount new_fee;
+ CMutableTransaction mtx;
+ feebumper::Result res;
+ // Targeting feerate bump.
+ res = feebumper::CreateRateBumpTransaction(*pwallet, hash, coin_control, errors, old_fee, new_fee, mtx);
+ if (res != feebumper::Result::OK) {
+ switch(res) {
+ case feebumper::Result::INVALID_ADDRESS_OR_KEY:
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, errors[0].original);
+ break;
+ case feebumper::Result::INVALID_REQUEST:
+ throw JSONRPCError(RPC_INVALID_REQUEST, errors[0].original);
+ break;
+ case feebumper::Result::INVALID_PARAMETER:
+ throw JSONRPCError(RPC_INVALID_PARAMETER, errors[0].original);
+ break;
+ case feebumper::Result::WALLET_ERROR:
+ throw JSONRPCError(RPC_WALLET_ERROR, errors[0].original);
+ break;
+ default:
+ throw JSONRPCError(RPC_MISC_ERROR, errors[0].original);
+ break;
+ }
+ }
+
+ UniValue result(UniValue::VOBJ);
+
+ // For bumpfee, return the new transaction id.
+ // For psbtbumpfee, return the base64-encoded unsigned PSBT of the new transaction.
+ if (!want_psbt) {
+ if (!feebumper::SignTransaction(*pwallet, mtx)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Can't sign transaction.");
+ }
+
+ uint256 txid;
+ if (feebumper::CommitTransaction(*pwallet, hash, std::move(mtx), errors, txid) != feebumper::Result::OK) {
+ throw JSONRPCError(RPC_WALLET_ERROR, errors[0].original);
+ }
+
+ result.pushKV("txid", txid.GetHex());
+ } else {
+ PartiallySignedTransaction psbtx(mtx);
+ bool complete = false;
+ const TransactionError err = pwallet->FillPSBT(psbtx, complete, SIGHASH_DEFAULT, false /* sign */, true /* bip32derivs */);
+ CHECK_NONFATAL(err == TransactionError::OK);
+ CHECK_NONFATAL(!complete);
+ CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
+ ssTx << psbtx;
+ result.pushKV("psbt", EncodeBase64(ssTx.str()));
+ }
+
+ result.pushKV("origfee", ValueFromAmount(old_fee));
+ result.pushKV("fee", ValueFromAmount(new_fee));
+ UniValue result_errors(UniValue::VARR);
+ for (const bilingual_str& error : errors) {
+ result_errors.push_back(error.original);
+ }
+ result.pushKV("errors", result_errors);
+
+ return result;
+},
+ };
+}
+
+RPCHelpMan bumpfee() { return bumpfee_helper("bumpfee"); }
+RPCHelpMan psbtbumpfee() { return bumpfee_helper("psbtbumpfee"); }
+
+RPCHelpMan send()
+{
+ return RPCHelpMan{"send",
+ "\nEXPERIMENTAL warning: this call may be changed in future releases.\n"
+ "\nSend a transaction.\n",
+ {
+ {"outputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The outputs (key-value pairs), where none of the keys are duplicated.\n"
+ "That is, each address can only appear once and there can only be one 'data' object.\n"
+ "For convenience, a dictionary, which holds the key-value pairs directly, is also accepted.",
+ {
+ {"", RPCArg::Type::OBJ_USER_KEYS, RPCArg::Optional::OMITTED, "",
+ {
+ {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "A key-value pair. The key (string) is the bitcoin address, the value (float or string) is the amount in " + CURRENCY_UNIT + ""},
+ },
+ },
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
+ {
+ {"data", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "A key-value pair. The key must be \"data\", the value is hex-encoded data"},
+ },
+ },
+ },
+ },
+ {"conf_target", RPCArg::Type::NUM, RPCArg::DefaultHint{"wallet -txconfirmtarget"}, "Confirmation target in blocks"},
+ {"estimate_mode", RPCArg::Type::STR, RPCArg::Default{"unset"}, std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
+ " \"" + FeeModes("\"\n\"") + "\""},
+ {"fee_rate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
+ {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "",
+ Cat<std::vector<RPCArg>>(
+ {
+ {"add_inputs", RPCArg::Type::BOOL, RPCArg::Default{false}, "If inputs are specified, automatically include more if they are not enough."},
+ {"include_unsafe", RPCArg::Type::BOOL, RPCArg::Default{false}, "Include inputs that are not safe to spend (unconfirmed transactions from outside keys and unconfirmed replacement transactions).\n"
+ "Warning: the resulting transaction may become invalid if one of the unsafe inputs disappears.\n"
+ "If that happens, you will need to fund the transaction with different inputs and republish it."},
+ {"add_to_wallet", RPCArg::Type::BOOL, RPCArg::Default{true}, "When false, returns a serialized transaction which will not be added to the wallet or broadcast"},
+ {"change_address", RPCArg::Type::STR_HEX, RPCArg::DefaultHint{"pool address"}, "The bitcoin address to receive the change"},
+ {"change_position", RPCArg::Type::NUM, RPCArg::DefaultHint{"random"}, "The index of the change output"},
+ {"change_type", RPCArg::Type::STR, RPCArg::DefaultHint{"set by -changetype"}, "The output type to use. Only valid if change_address is not specified. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
+ {"fee_rate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
+ {"include_watching", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Also select inputs which are watch only.\n"
+ "Only solvable inputs can be used. Watch-only destinations are solvable if the public key and/or output script was imported,\n"
+ "e.g. with 'importpubkey' or 'importmulti' with the 'pubkeys' or 'desc' field."},
+ {"inputs", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "Specify inputs instead of adding them automatically. A JSON array of JSON objects",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
+ {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
+ {"sequence", RPCArg::Type::NUM, RPCArg::Optional::NO, "The sequence number"},
+ {"weight", RPCArg::Type::NUM, RPCArg::DefaultHint{"Calculated from wallet and solving data"}, "The maximum weight for this input, "
+ "including the weight of the outpoint and sequence number. "
+ "Note that signature sizes are not guaranteed to be consistent, "
+ "so the maximum DER signatures size of 73 bytes should be used when considering ECDSA signatures."
+ "Remember to convert serialized sizes to weight units when necessary."},
+ },
+ },
+ {"locktime", RPCArg::Type::NUM, RPCArg::Default{0}, "Raw locktime. Non-0 value also locktime-activates inputs"},
+ {"lock_unspents", RPCArg::Type::BOOL, RPCArg::Default{false}, "Lock selected unspent outputs"},
+ {"psbt", RPCArg::Type::BOOL, RPCArg::DefaultHint{"automatic"}, "Always return a PSBT, implies add_to_wallet=false."},
+ {"subtract_fee_from_outputs", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "Outputs to subtract the fee from, specified as integer indices.\n"
+ "The fee will be equally deducted from the amount of each specified output.\n"
+ "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
+ "If no outputs are specified here, the sender pays the fee.",
+ {
+ {"vout_index", RPCArg::Type::NUM, RPCArg::Optional::OMITTED, "The zero-based output index, before a change output is added."},
+ },
+ },
+ },
+ FundTxDoc()),
+ "options"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
+ {RPCResult::Type::STR_HEX, "txid", /*optional=*/true, "The transaction id for the send. Only 1 transaction is created regardless of the number of addresses."},
+ {RPCResult::Type::STR_HEX, "hex", /*optional=*/true, "If add_to_wallet is false, the hex-encoded raw transaction with signature(s)"},
+ {RPCResult::Type::STR, "psbt", /*optional=*/true, "If more signatures are needed, or if add_to_wallet is false, the base64-encoded (partially) signed transaction"}
+ }
+ },
+ RPCExamples{""
+ "\nSend 0.1 BTC with a confirmation target of 6 blocks in economical fee estimate mode\n"
+ + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.1}' 6 economical\n") +
+ "Send 0.2 BTC with a fee rate of 1.1 " + CURRENCY_ATOM + "/vB using positional arguments\n"
+ + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.2}' null \"unset\" 1.1\n") +
+ "Send 0.2 BTC with a fee rate of 1 " + CURRENCY_ATOM + "/vB using the options argument\n"
+ + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.2}' null \"unset\" null '{\"fee_rate\": 1}'\n") +
+ "Send 0.3 BTC with a fee rate of 25 " + CURRENCY_ATOM + "/vB using named arguments\n"
+ + HelpExampleCli("-named send", "outputs='{\"" + EXAMPLE_ADDRESS[0] + "\": 0.3}' fee_rate=25\n") +
+ "Create a transaction that should confirm the next block, with a specific input, and return result without adding to wallet or broadcasting to the network\n"
+ + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.1}' 1 economical '{\"add_to_wallet\": false, \"inputs\": [{\"txid\":\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\", \"vout\":1}]}'")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+ {
+ RPCTypeCheck(request.params, {
+ UniValueType(), // outputs (ARR or OBJ, checked later)
+ UniValue::VNUM, // conf_target
+ UniValue::VSTR, // estimate_mode
+ UniValueType(), // fee_rate, will be checked by AmountFromValue() in SetFeeEstimateMode()
+ UniValue::VOBJ, // options
+ }, true
+ );
+
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ UniValue options{request.params[4].isNull() ? UniValue::VOBJ : request.params[4]};
+ if (options.exists("conf_target") || options.exists("estimate_mode")) {
+ if (!request.params[1].isNull() || !request.params[2].isNull()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Pass conf_target and estimate_mode either as arguments or in the options object, but not both");
+ }
+ } else {
+ options.pushKV("conf_target", request.params[1]);
+ options.pushKV("estimate_mode", request.params[2]);
+ }
+ if (options.exists("fee_rate")) {
+ if (!request.params[3].isNull()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Pass the fee_rate either as an argument, or in the options object, but not both");
+ }
+ } else {
+ options.pushKV("fee_rate", request.params[3]);
+ }
+ if (!options["conf_target"].isNull() && (options["estimate_mode"].isNull() || (options["estimate_mode"].get_str() == "unset"))) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Specify estimate_mode");
+ }
+ if (options.exists("feeRate")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Use fee_rate (" + CURRENCY_ATOM + "/vB) instead of feeRate");
+ }
+ if (options.exists("changeAddress")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Use change_address");
+ }
+ if (options.exists("changePosition")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Use change_position");
+ }
+ if (options.exists("includeWatching")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Use include_watching");
+ }
+ if (options.exists("lockUnspents")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Use lock_unspents");
+ }
+ if (options.exists("subtractFeeFromOutputs")) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Use subtract_fee_from_outputs");
+ }
+
+ const bool psbt_opt_in = options.exists("psbt") && options["psbt"].get_bool();
+
+ CAmount fee;
+ int change_position;
+ bool rbf = pwallet->m_signal_rbf;
+ if (options.exists("replaceable")) {
+ rbf = options["replaceable"].get_bool();
+ }
+ CMutableTransaction rawTx = ConstructTransaction(options["inputs"], request.params[0], options["locktime"], rbf);
+ CCoinControl coin_control;
+ // Automatically select coins, unless at least one is manually selected. Can
+ // be overridden by options.add_inputs.
+ coin_control.m_add_inputs = rawTx.vin.size() == 0;
+ SetOptionsInputWeights(options["inputs"], options);
+ FundTransaction(*pwallet, rawTx, fee, change_position, options, coin_control, /* override_min_fee */ false);
+
+ bool add_to_wallet = true;
+ if (options.exists("add_to_wallet")) {
+ add_to_wallet = options["add_to_wallet"].get_bool();
+ }
+
+ // Make a blank psbt
+ PartiallySignedTransaction psbtx(rawTx);
+
+ // First fill transaction with our data without signing,
+ // so external signers are not asked sign more than once.
+ bool complete;
+ pwallet->FillPSBT(psbtx, complete, SIGHASH_DEFAULT, false, true);
+ const TransactionError err = pwallet->FillPSBT(psbtx, complete, SIGHASH_DEFAULT, true, false);
+ if (err != TransactionError::OK) {
+ throw JSONRPCTransactionError(err);
+ }
+
+ CMutableTransaction mtx;
+ complete = FinalizeAndExtractPSBT(psbtx, mtx);
+
+ UniValue result(UniValue::VOBJ);
+
+ if (psbt_opt_in || !complete || !add_to_wallet) {
+ // Serialize the PSBT
+ CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
+ ssTx << psbtx;
+ result.pushKV("psbt", EncodeBase64(ssTx.str()));
+ }
+
+ if (complete) {
+ std::string err_string;
+ std::string hex = EncodeHexTx(CTransaction(mtx));
+ CTransactionRef tx(MakeTransactionRef(std::move(mtx)));
+ result.pushKV("txid", tx->GetHash().GetHex());
+ if (add_to_wallet && !psbt_opt_in) {
+ pwallet->CommitTransaction(tx, {}, {} /* orderForm */);
+ } else {
+ result.pushKV("hex", hex);
+ }
+ }
+ result.pushKV("complete", complete);
+
+ return result;
+ }
+ };
+}
+
+RPCHelpMan walletprocesspsbt()
+{
+ return RPCHelpMan{"walletprocesspsbt",
+ "\nUpdate a PSBT with input information from our wallet and then sign inputs\n"
+ "that we can sign for." +
+ HELP_REQUIRING_PASSPHRASE,
+ {
+ {"psbt", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction base64 string"},
+ {"sign", RPCArg::Type::BOOL, RPCArg::Default{true}, "Also sign the transaction when updating (requires wallet to be unlocked)"},
+ {"sighashtype", RPCArg::Type::STR, RPCArg::Default{"DEFAULT for Taproot, ALL otherwise"}, "The signature hash type to sign with if not specified by the PSBT. Must be one of\n"
+ " \"DEFAULT\"\n"
+ " \"ALL\"\n"
+ " \"NONE\"\n"
+ " \"SINGLE\"\n"
+ " \"ALL|ANYONECANPAY\"\n"
+ " \"NONE|ANYONECANPAY\"\n"
+ " \"SINGLE|ANYONECANPAY\""},
+ {"bip32derivs", RPCArg::Type::BOOL, RPCArg::Default{true}, "Include BIP 32 derivation paths for public keys if we know them"},
+ {"finalize", RPCArg::Type::BOOL, RPCArg::Default{true}, "Also finalize inputs if possible"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "psbt", "The base64-encoded partially signed transaction"},
+ {RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("walletprocesspsbt", "\"psbt\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ const CWallet& wallet{*pwallet};
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
+
+ RPCTypeCheck(request.params, {UniValue::VSTR});
+
+ // Unserialize the transaction
+ PartiallySignedTransaction psbtx;
+ std::string error;
+ if (!DecodeBase64PSBT(psbtx, request.params[0].get_str(), error)) {
+ throw JSONRPCError(RPC_DESERIALIZATION_ERROR, strprintf("TX decode failed %s", error));
+ }
+
+ // Get the sighash type
+ int nHashType = ParseSighashString(request.params[2]);
+
+ // Fill transaction with our data and also sign
+ bool sign = request.params[1].isNull() ? true : request.params[1].get_bool();
+ bool bip32derivs = request.params[3].isNull() ? true : request.params[3].get_bool();
+ bool finalize = request.params[4].isNull() ? true : request.params[4].get_bool();
+ bool complete = true;
+
+ if (sign) EnsureWalletIsUnlocked(*pwallet);
+
+ const TransactionError err{wallet.FillPSBT(psbtx, complete, nHashType, sign, bip32derivs, nullptr, finalize)};
+ if (err != TransactionError::OK) {
+ throw JSONRPCTransactionError(err);
+ }
+
+ UniValue result(UniValue::VOBJ);
+ CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
+ ssTx << psbtx;
+ result.pushKV("psbt", EncodeBase64(ssTx.str()));
+ result.pushKV("complete", complete);
+
+ return result;
+},
+ };
+}
+
+RPCHelpMan walletcreatefundedpsbt()
+{
+ return RPCHelpMan{"walletcreatefundedpsbt",
+ "\nCreates and funds a transaction in the Partially Signed Transaction format.\n"
+ "Implements the Creator and Updater roles.\n"
+ "All existing inputs must either have their previous output transaction be in the wallet\n"
+ "or be in the UTXO set. Solving data must be provided for non-wallet inputs.\n",
+ {
+ {"inputs", RPCArg::Type::ARR, RPCArg::Optional::OMITTED_NAMED_ARG, "Leave empty to add inputs automatically. See add_inputs option.",
+ {
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
+ {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
+ {"sequence", RPCArg::Type::NUM, RPCArg::DefaultHint{"depends on the value of the 'locktime' and 'options.replaceable' arguments"}, "The sequence number"},
+ {"weight", RPCArg::Type::NUM, RPCArg::DefaultHint{"Calculated from wallet and solving data"}, "The maximum weight for this input, "
+ "including the weight of the outpoint and sequence number. "
+ "Note that signature sizes are not guaranteed to be consistent, "
+ "so the maximum DER signatures size of 73 bytes should be used when considering ECDSA signatures."
+ "Remember to convert serialized sizes to weight units when necessary."},
+ },
+ },
+ },
+ },
+ {"outputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The outputs (key-value pairs), where none of the keys are duplicated.\n"
+ "That is, each address can only appear once and there can only be one 'data' object.\n"
+ "For compatibility reasons, a dictionary, which holds the key-value pairs directly, is also\n"
+ "accepted as second parameter.",
+ {
+ {"", RPCArg::Type::OBJ_USER_KEYS, RPCArg::Optional::OMITTED, "",
+ {
+ {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "A key-value pair. The key (string) is the bitcoin address, the value (float or string) is the amount in " + CURRENCY_UNIT + ""},
+ },
+ },
+ {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
+ {
+ {"data", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "A key-value pair. The key must be \"data\", the value is hex-encoded data"},
+ },
+ },
+ },
+ },
+ {"locktime", RPCArg::Type::NUM, RPCArg::Default{0}, "Raw locktime. Non-0 value also locktime-activates inputs"},
+ {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "",
+ Cat<std::vector<RPCArg>>(
+ {
+ {"add_inputs", RPCArg::Type::BOOL, RPCArg::Default{false}, "If inputs are specified, automatically include more if they are not enough."},
+ {"include_unsafe", RPCArg::Type::BOOL, RPCArg::Default{false}, "Include inputs that are not safe to spend (unconfirmed transactions from outside keys and unconfirmed replacement transactions).\n"
+ "Warning: the resulting transaction may become invalid if one of the unsafe inputs disappears.\n"
+ "If that happens, you will need to fund the transaction with different inputs and republish it."},
+ {"changeAddress", RPCArg::Type::STR_HEX, RPCArg::DefaultHint{"pool address"}, "The bitcoin address to receive the change"},
+ {"changePosition", RPCArg::Type::NUM, RPCArg::DefaultHint{"random"}, "The index of the change output"},
+ {"change_type", RPCArg::Type::STR, RPCArg::DefaultHint{"set by -changetype"}, "The output type to use. Only valid if changeAddress is not specified. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
+ {"includeWatching", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Also select inputs which are watch only"},
+ {"lockUnspents", RPCArg::Type::BOOL, RPCArg::Default{false}, "Lock selected unspent outputs"},
+ {"fee_rate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
+ {"feeRate", RPCArg::Type::AMOUNT, RPCArg::DefaultHint{"not set, fall back to wallet fee estimation"}, "Specify a fee rate in " + CURRENCY_UNIT + "/kvB."},
+ {"subtractFeeFromOutputs", RPCArg::Type::ARR, RPCArg::Default{UniValue::VARR}, "The outputs to subtract the fee from.\n"
+ "The fee will be equally deducted from the amount of each specified output.\n"
+ "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
+ "If no outputs are specified here, the sender pays the fee.",
+ {
+ {"vout_index", RPCArg::Type::NUM, RPCArg::Optional::OMITTED, "The zero-based output index, before a change output is added."},
+ },
+ },
+ },
+ FundTxDoc()),
+ "options"},
+ {"bip32derivs", RPCArg::Type::BOOL, RPCArg::Default{true}, "Include BIP 32 derivation paths for public keys if we know them"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "psbt", "The resulting raw transaction (base64-encoded string)"},
+ {RPCResult::Type::STR_AMOUNT, "fee", "Fee in " + CURRENCY_UNIT + " the resulting transaction pays"},
+ {RPCResult::Type::NUM, "changepos", "The position of the added change output, or -1"},
+ }
+ },
+ RPCExamples{
+ "\nCreate a transaction with no inputs\n"
+ + HelpExampleCli("walletcreatefundedpsbt", "\"[{\\\"txid\\\":\\\"myid\\\",\\\"vout\\\":0}]\" \"[{\\\"data\\\":\\\"00010203\\\"}]\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ CWallet& wallet{*pwallet};
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
+
+ RPCTypeCheck(request.params, {
+ UniValue::VARR,
+ UniValueType(), // ARR or OBJ, checked later
+ UniValue::VNUM,
+ UniValue::VOBJ,
+ UniValue::VBOOL
+ }, true
+ );
+
+ UniValue options = request.params[3];
+
+ CAmount fee;
+ int change_position;
+ bool rbf{wallet.m_signal_rbf};
+ const UniValue &replaceable_arg = options["replaceable"];
+ if (!replaceable_arg.isNull()) {
+ RPCTypeCheckArgument(replaceable_arg, UniValue::VBOOL);
+ rbf = replaceable_arg.isTrue();
+ }
+ CMutableTransaction rawTx = ConstructTransaction(request.params[0], request.params[1], request.params[2], rbf);
+ CCoinControl coin_control;
+ // Automatically select coins, unless at least one is manually selected. Can
+ // be overridden by options.add_inputs.
+ coin_control.m_add_inputs = rawTx.vin.size() == 0;
+ SetOptionsInputWeights(request.params[0], options);
+ FundTransaction(wallet, rawTx, fee, change_position, options, coin_control, /* override_min_fee */ true);
+
+ // Make a blank psbt
+ PartiallySignedTransaction psbtx(rawTx);
+
+ // Fill transaction with out data but don't sign
+ bool bip32derivs = request.params[4].isNull() ? true : request.params[4].get_bool();
+ bool complete = true;
+ const TransactionError err{wallet.FillPSBT(psbtx, complete, 1, false, bip32derivs)};
+ if (err != TransactionError::OK) {
+ throw JSONRPCTransactionError(err);
+ }
+
+ // Serialize the PSBT
+ CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
+ ssTx << psbtx;
+
+ UniValue result(UniValue::VOBJ);
+ result.pushKV("psbt", EncodeBase64(ssTx.str()));
+ result.pushKV("fee", ValueFromAmount(fee));
+ result.pushKV("changepos", change_position);
+ return result;
+},
+ };
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/transactions.cpp b/src/wallet/rpc/transactions.cpp
new file mode 100644
index 0000000000..eef2c13ee1
--- /dev/null
+++ b/src/wallet/rpc/transactions.cpp
@@ -0,0 +1,962 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <core_io.h>
+#include <key_io.h>
+#include <policy/rbf.h>
+#include <rpc/util.h>
+#include <util/vector.h>
+#include <wallet/receive.h>
+#include <wallet/rpc/util.h>
+#include <wallet/wallet.h>
+
+using interfaces::FoundBlock;
+
+namespace wallet {
+static void WalletTxToJSON(const CWallet& wallet, const CWalletTx& wtx, UniValue& entry)
+{
+ interfaces::Chain& chain = wallet.chain();
+ int confirms = wallet.GetTxDepthInMainChain(wtx);
+ entry.pushKV("confirmations", confirms);
+ if (wtx.IsCoinBase())
+ entry.pushKV("generated", true);
+ if (auto* conf = wtx.state<TxStateConfirmed>())
+ {
+ entry.pushKV("blockhash", conf->confirmed_block_hash.GetHex());
+ entry.pushKV("blockheight", conf->confirmed_block_height);
+ entry.pushKV("blockindex", conf->position_in_block);
+ int64_t block_time;
+ CHECK_NONFATAL(chain.findBlock(conf->confirmed_block_hash, FoundBlock().time(block_time)));
+ entry.pushKV("blocktime", block_time);
+ } else {
+ entry.pushKV("trusted", CachedTxIsTrusted(wallet, wtx));
+ }
+ uint256 hash = wtx.GetHash();
+ entry.pushKV("txid", hash.GetHex());
+ UniValue conflicts(UniValue::VARR);
+ for (const uint256& conflict : wallet.GetTxConflicts(wtx))
+ conflicts.push_back(conflict.GetHex());
+ entry.pushKV("walletconflicts", conflicts);
+ entry.pushKV("time", wtx.GetTxTime());
+ entry.pushKV("timereceived", int64_t{wtx.nTimeReceived});
+
+ // Add opt-in RBF status
+ std::string rbfStatus = "no";
+ if (confirms <= 0) {
+ RBFTransactionState rbfState = chain.isRBFOptIn(*wtx.tx);
+ if (rbfState == RBFTransactionState::UNKNOWN)
+ rbfStatus = "unknown";
+ else if (rbfState == RBFTransactionState::REPLACEABLE_BIP125)
+ rbfStatus = "yes";
+ }
+ entry.pushKV("bip125-replaceable", rbfStatus);
+
+ for (const std::pair<const std::string, std::string>& item : wtx.mapValue)
+ entry.pushKV(item.first, item.second);
+}
+
+struct tallyitem
+{
+ CAmount nAmount{0};
+ int nConf{std::numeric_limits<int>::max()};
+ std::vector<uint256> txids;
+ bool fIsWatchonly{false};
+ tallyitem()
+ {
+ }
+};
+
+static UniValue ListReceived(const CWallet& wallet, const UniValue& params, const bool by_label, const bool include_immature_coinbase) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
+{
+ // Minimum confirmations
+ int nMinDepth = 1;
+ if (!params[0].isNull())
+ nMinDepth = params[0].get_int();
+
+ // Whether to include empty labels
+ bool fIncludeEmpty = false;
+ if (!params[1].isNull())
+ fIncludeEmpty = params[1].get_bool();
+
+ isminefilter filter = ISMINE_SPENDABLE;
+
+ if (ParseIncludeWatchonly(params[2], wallet)) {
+ filter |= ISMINE_WATCH_ONLY;
+ }
+
+ bool has_filtered_address = false;
+ CTxDestination filtered_address = CNoDestination();
+ if (!by_label && !params[3].isNull() && !params[3].get_str().empty()) {
+ if (!IsValidDestinationString(params[3].get_str())) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "address_filter parameter was invalid");
+ }
+ filtered_address = DecodeDestination(params[3].get_str());
+ has_filtered_address = true;
+ }
+
+ // Excluding coinbase outputs is deprecated
+ // It can be enabled by setting deprecatedrpc=exclude_coinbase
+ const bool include_coinbase{!wallet.chain().rpcEnableDeprecated("exclude_coinbase")};
+
+ if (include_immature_coinbase && !include_coinbase) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "include_immature_coinbase is incompatible with deprecated exclude_coinbase");
+ }
+
+ // Tally
+ std::map<CTxDestination, tallyitem> mapTally;
+ for (const std::pair<const uint256, CWalletTx>& pairWtx : wallet.mapWallet) {
+ const CWalletTx& wtx = pairWtx.second;
+
+ int nDepth = wallet.GetTxDepthInMainChain(wtx);
+ if (nDepth < nMinDepth)
+ continue;
+
+ // Coinbase with less than 1 confirmation is no longer in the main chain
+ if ((wtx.IsCoinBase() && (nDepth < 1 || !include_coinbase))
+ || (wallet.IsTxImmatureCoinBase(wtx) && !include_immature_coinbase))
+ {
+ continue;
+ }
+
+ for (const CTxOut& txout : wtx.tx->vout)
+ {
+ CTxDestination address;
+ if (!ExtractDestination(txout.scriptPubKey, address))
+ continue;
+
+ if (has_filtered_address && !(filtered_address == address)) {
+ continue;
+ }
+
+ isminefilter mine = wallet.IsMine(address);
+ if(!(mine & filter))
+ continue;
+
+ tallyitem& item = mapTally[address];
+ item.nAmount += txout.nValue;
+ item.nConf = std::min(item.nConf, nDepth);
+ item.txids.push_back(wtx.GetHash());
+ if (mine & ISMINE_WATCH_ONLY)
+ item.fIsWatchonly = true;
+ }
+ }
+
+ // Reply
+ UniValue ret(UniValue::VARR);
+ std::map<std::string, tallyitem> label_tally;
+
+ // Create m_address_book iterator
+ // If we aren't filtering, go from begin() to end()
+ auto start = wallet.m_address_book.begin();
+ auto end = wallet.m_address_book.end();
+ // If we are filtering, find() the applicable entry
+ if (has_filtered_address) {
+ start = wallet.m_address_book.find(filtered_address);
+ if (start != end) {
+ end = std::next(start);
+ }
+ }
+
+ for (auto item_it = start; item_it != end; ++item_it)
+ {
+ if (item_it->second.IsChange()) continue;
+ const CTxDestination& address = item_it->first;
+ const std::string& label = item_it->second.GetLabel();
+ auto it = mapTally.find(address);
+ if (it == mapTally.end() && !fIncludeEmpty)
+ continue;
+
+ CAmount nAmount = 0;
+ int nConf = std::numeric_limits<int>::max();
+ bool fIsWatchonly = false;
+ if (it != mapTally.end())
+ {
+ nAmount = (*it).second.nAmount;
+ nConf = (*it).second.nConf;
+ fIsWatchonly = (*it).second.fIsWatchonly;
+ }
+
+ if (by_label)
+ {
+ tallyitem& _item = label_tally[label];
+ _item.nAmount += nAmount;
+ _item.nConf = std::min(_item.nConf, nConf);
+ _item.fIsWatchonly = fIsWatchonly;
+ }
+ else
+ {
+ UniValue obj(UniValue::VOBJ);
+ if(fIsWatchonly)
+ obj.pushKV("involvesWatchonly", true);
+ obj.pushKV("address", EncodeDestination(address));
+ obj.pushKV("amount", ValueFromAmount(nAmount));
+ obj.pushKV("confirmations", (nConf == std::numeric_limits<int>::max() ? 0 : nConf));
+ obj.pushKV("label", label);
+ UniValue transactions(UniValue::VARR);
+ if (it != mapTally.end())
+ {
+ for (const uint256& _item : (*it).second.txids)
+ {
+ transactions.push_back(_item.GetHex());
+ }
+ }
+ obj.pushKV("txids", transactions);
+ ret.push_back(obj);
+ }
+ }
+
+ if (by_label)
+ {
+ for (const auto& entry : label_tally)
+ {
+ CAmount nAmount = entry.second.nAmount;
+ int nConf = entry.second.nConf;
+ UniValue obj(UniValue::VOBJ);
+ if (entry.second.fIsWatchonly)
+ obj.pushKV("involvesWatchonly", true);
+ obj.pushKV("amount", ValueFromAmount(nAmount));
+ obj.pushKV("confirmations", (nConf == std::numeric_limits<int>::max() ? 0 : nConf));
+ obj.pushKV("label", entry.first);
+ ret.push_back(obj);
+ }
+ }
+
+ return ret;
+}
+
+RPCHelpMan listreceivedbyaddress()
+{
+ return RPCHelpMan{"listreceivedbyaddress",
+ "\nList balances by receiving address.\n",
+ {
+ {"minconf", RPCArg::Type::NUM, RPCArg::Default{1}, "The minimum number of confirmations before payments are included."},
+ {"include_empty", RPCArg::Type::BOOL, RPCArg::Default{false}, "Whether to include addresses that haven't received any payments."},
+ {"include_watchonly", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Whether to include watch-only addresses (see 'importaddress')"},
+ {"address_filter", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "If present and non-empty, only return information on this address."},
+ {"include_immature_coinbase", RPCArg::Type::BOOL, RPCArg::Default{false}, "Include immature coinbase transactions."},
+ },
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::BOOL, "involvesWatchonly", /*optional=*/true, "Only returns true if imported addresses were involved in transaction"},
+ {RPCResult::Type::STR, "address", "The receiving address"},
+ {RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received by the address"},
+ {RPCResult::Type::NUM, "confirmations", "The number of confirmations of the most recent transaction included"},
+ {RPCResult::Type::STR, "label", "The label of the receiving address. The default label is \"\""},
+ {RPCResult::Type::ARR, "txids", "",
+ {
+ {RPCResult::Type::STR_HEX, "txid", "The ids of transactions received with the address"},
+ }},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("listreceivedbyaddress", "")
+ + HelpExampleCli("listreceivedbyaddress", "6 true")
+ + HelpExampleCli("listreceivedbyaddress", "6 true true \"\" true")
+ + HelpExampleRpc("listreceivedbyaddress", "6, true, true")
+ + HelpExampleRpc("listreceivedbyaddress", "6, true, true, \"" + EXAMPLE_ADDRESS[0] + "\", true")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ const bool include_immature_coinbase{request.params[4].isNull() ? false : request.params[4].get_bool()};
+
+ LOCK(pwallet->cs_wallet);
+
+ return ListReceived(*pwallet, request.params, false, include_immature_coinbase);
+},
+ };
+}
+
+RPCHelpMan listreceivedbylabel()
+{
+ return RPCHelpMan{"listreceivedbylabel",
+ "\nList received transactions by label.\n",
+ {
+ {"minconf", RPCArg::Type::NUM, RPCArg::Default{1}, "The minimum number of confirmations before payments are included."},
+ {"include_empty", RPCArg::Type::BOOL, RPCArg::Default{false}, "Whether to include labels that haven't received any payments."},
+ {"include_watchonly", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Whether to include watch-only addresses (see 'importaddress')"},
+ {"include_immature_coinbase", RPCArg::Type::BOOL, RPCArg::Default{false}, "Include immature coinbase transactions."},
+ },
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::BOOL, "involvesWatchonly", /*optional=*/true, "Only returns true if imported addresses were involved in transaction"},
+ {RPCResult::Type::STR_AMOUNT, "amount", "The total amount received by addresses with this label"},
+ {RPCResult::Type::NUM, "confirmations", "The number of confirmations of the most recent transaction included"},
+ {RPCResult::Type::STR, "label", "The label of the receiving address. The default label is \"\""},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("listreceivedbylabel", "")
+ + HelpExampleCli("listreceivedbylabel", "6 true")
+ + HelpExampleRpc("listreceivedbylabel", "6, true, true, true")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ const bool include_immature_coinbase{request.params[3].isNull() ? false : request.params[3].get_bool()};
+
+ LOCK(pwallet->cs_wallet);
+
+ return ListReceived(*pwallet, request.params, true, include_immature_coinbase);
+},
+ };
+}
+
+static void MaybePushAddress(UniValue & entry, const CTxDestination &dest)
+{
+ if (IsValidDestination(dest)) {
+ entry.pushKV("address", EncodeDestination(dest));
+ }
+}
+
+/**
+ * List transactions based on the given criteria.
+ *
+ * @param wallet The wallet.
+ * @param wtx The wallet transaction.
+ * @param nMinDepth The minimum confirmation depth.
+ * @param fLong Whether to include the JSON version of the transaction.
+ * @param ret The UniValue into which the result is stored.
+ * @param filter_ismine The "is mine" filter flags.
+ * @param filter_label Optional label string to filter incoming transactions.
+ */
+static void ListTransactions(const CWallet& wallet, const CWalletTx& wtx, int nMinDepth, bool fLong, UniValue& ret, const isminefilter& filter_ismine, const std::string* filter_label) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
+{
+ CAmount nFee;
+ std::list<COutputEntry> listReceived;
+ std::list<COutputEntry> listSent;
+
+ CachedTxGetAmounts(wallet, wtx, listReceived, listSent, nFee, filter_ismine);
+
+ bool involvesWatchonly = CachedTxIsFromMe(wallet, wtx, ISMINE_WATCH_ONLY);
+
+ // Sent
+ if (!filter_label)
+ {
+ for (const COutputEntry& s : listSent)
+ {
+ UniValue entry(UniValue::VOBJ);
+ if (involvesWatchonly || (wallet.IsMine(s.destination) & ISMINE_WATCH_ONLY)) {
+ entry.pushKV("involvesWatchonly", true);
+ }
+ MaybePushAddress(entry, s.destination);
+ entry.pushKV("category", "send");
+ entry.pushKV("amount", ValueFromAmount(-s.amount));
+ const auto* address_book_entry = wallet.FindAddressBookEntry(s.destination);
+ if (address_book_entry) {
+ entry.pushKV("label", address_book_entry->GetLabel());
+ }
+ entry.pushKV("vout", s.vout);
+ entry.pushKV("fee", ValueFromAmount(-nFee));
+ if (fLong)
+ WalletTxToJSON(wallet, wtx, entry);
+ entry.pushKV("abandoned", wtx.isAbandoned());
+ ret.push_back(entry);
+ }
+ }
+
+ // Received
+ if (listReceived.size() > 0 && wallet.GetTxDepthInMainChain(wtx) >= nMinDepth) {
+ for (const COutputEntry& r : listReceived)
+ {
+ std::string label;
+ const auto* address_book_entry = wallet.FindAddressBookEntry(r.destination);
+ if (address_book_entry) {
+ label = address_book_entry->GetLabel();
+ }
+ if (filter_label && label != *filter_label) {
+ continue;
+ }
+ UniValue entry(UniValue::VOBJ);
+ if (involvesWatchonly || (wallet.IsMine(r.destination) & ISMINE_WATCH_ONLY)) {
+ entry.pushKV("involvesWatchonly", true);
+ }
+ MaybePushAddress(entry, r.destination);
+ if (wtx.IsCoinBase())
+ {
+ if (wallet.GetTxDepthInMainChain(wtx) < 1)
+ entry.pushKV("category", "orphan");
+ else if (wallet.IsTxImmatureCoinBase(wtx))
+ entry.pushKV("category", "immature");
+ else
+ entry.pushKV("category", "generate");
+ }
+ else
+ {
+ entry.pushKV("category", "receive");
+ }
+ entry.pushKV("amount", ValueFromAmount(r.amount));
+ if (address_book_entry) {
+ entry.pushKV("label", label);
+ }
+ entry.pushKV("vout", r.vout);
+ if (fLong)
+ WalletTxToJSON(wallet, wtx, entry);
+ ret.push_back(entry);
+ }
+ }
+}
+
+
+static const std::vector<RPCResult> TransactionDescriptionString()
+{
+ return{{RPCResult::Type::NUM, "confirmations", "The number of confirmations for the transaction. Negative confirmations means the\n"
+ "transaction conflicted that many blocks ago."},
+ {RPCResult::Type::BOOL, "generated", /*optional=*/true, "Only present if the transaction's only input is a coinbase one."},
+ {RPCResult::Type::BOOL, "trusted", /*optional=*/true, "Whether we consider the transaction to be trusted and safe to spend from.\n"
+ "Only present when the transaction has 0 confirmations (or negative confirmations, if conflicted)."},
+ {RPCResult::Type::STR_HEX, "blockhash", /*optional=*/true, "The block hash containing the transaction."},
+ {RPCResult::Type::NUM, "blockheight", /*optional=*/true, "The block height containing the transaction."},
+ {RPCResult::Type::NUM, "blockindex", /*optional=*/true, "The index of the transaction in the block that includes it."},
+ {RPCResult::Type::NUM_TIME, "blocktime", /*optional=*/true, "The block time expressed in " + UNIX_EPOCH_TIME + "."},
+ {RPCResult::Type::STR_HEX, "txid", "The transaction id."},
+ {RPCResult::Type::ARR, "walletconflicts", "Conflicting transaction ids.",
+ {
+ {RPCResult::Type::STR_HEX, "txid", "The transaction id."},
+ }},
+ {RPCResult::Type::STR_HEX, "replaced_by_txid", /*optional=*/true, "The txid if this tx was replaced."},
+ {RPCResult::Type::STR_HEX, "replaces_txid", /*optional=*/true, "The txid if the tx replaces one."},
+ {RPCResult::Type::STR, "comment", /*optional=*/true, ""},
+ {RPCResult::Type::STR, "to", /*optional=*/true, "If a comment to is associated with the transaction."},
+ {RPCResult::Type::NUM_TIME, "time", "The transaction time expressed in " + UNIX_EPOCH_TIME + "."},
+ {RPCResult::Type::NUM_TIME, "timereceived", "The time received expressed in " + UNIX_EPOCH_TIME + "."},
+ {RPCResult::Type::STR, "comment", /*optional=*/true, "If a comment is associated with the transaction, only present if not empty."},
+ {RPCResult::Type::STR, "bip125-replaceable", "(\"yes|no|unknown\") Whether this transaction could be replaced due to BIP125 (replace-by-fee);\n"
+ "may be unknown for unconfirmed transactions not in the mempool."}};
+}
+
+RPCHelpMan listtransactions()
+{
+ return RPCHelpMan{"listtransactions",
+ "\nIf a label name is provided, this will return only incoming transactions paying to addresses with the specified label.\n"
+ "\nReturns up to 'count' most recent transactions skipping the first 'from' transactions.\n",
+ {
+ {"label|dummy", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "If set, should be a valid label name to return only incoming transactions\n"
+ "with the specified label, or \"*\" to disable filtering and return all transactions."},
+ {"count", RPCArg::Type::NUM, RPCArg::Default{10}, "The number of transactions to return"},
+ {"skip", RPCArg::Type::NUM, RPCArg::Default{0}, "The number of transactions to skip"},
+ {"include_watchonly", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Include transactions to watch-only addresses (see 'importaddress')"},
+ },
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::OBJ, "", "", Cat(Cat<std::vector<RPCResult>>(
+ {
+ {RPCResult::Type::BOOL, "involvesWatchonly", /*optional=*/true, "Only returns true if imported addresses were involved in transaction."},
+ {RPCResult::Type::STR, "address", "The bitcoin address of the transaction."},
+ {RPCResult::Type::STR, "category", "The transaction category.\n"
+ "\"send\" Transactions sent.\n"
+ "\"receive\" Non-coinbase transactions received.\n"
+ "\"generate\" Coinbase transactions received with more than 100 confirmations.\n"
+ "\"immature\" Coinbase transactions received with 100 or fewer confirmations.\n"
+ "\"orphan\" Orphaned coinbase transactions received."},
+ {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT + ". This is negative for the 'send' category, and is positive\n"
+ "for all other categories"},
+ {RPCResult::Type::STR, "label", /*optional=*/true, "A comment for the address/transaction, if any"},
+ {RPCResult::Type::NUM, "vout", "the vout value"},
+ {RPCResult::Type::STR_AMOUNT, "fee", /*optional=*/true, "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the\n"
+ "'send' category of transactions."},
+ },
+ TransactionDescriptionString()),
+ {
+ {RPCResult::Type::BOOL, "abandoned", /*optional=*/true, "'true' if the transaction has been abandoned (inputs are respendable). Only available for the \n"
+ "'send' category of transactions."},
+ })},
+ }
+ },
+ RPCExamples{
+ "\nList the most recent 10 transactions in the systems\n"
+ + HelpExampleCli("listtransactions", "") +
+ "\nList transactions 100 to 120\n"
+ + HelpExampleCli("listtransactions", "\"*\" 20 100") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("listtransactions", "\"*\", 20, 100")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ const std::string* filter_label = nullptr;
+ if (!request.params[0].isNull() && request.params[0].get_str() != "*") {
+ filter_label = &request.params[0].get_str();
+ if (filter_label->empty()) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Label argument must be a valid label name or \"*\".");
+ }
+ }
+ int nCount = 10;
+ if (!request.params[1].isNull())
+ nCount = request.params[1].get_int();
+ int nFrom = 0;
+ if (!request.params[2].isNull())
+ nFrom = request.params[2].get_int();
+ isminefilter filter = ISMINE_SPENDABLE;
+
+ if (ParseIncludeWatchonly(request.params[3], *pwallet)) {
+ filter |= ISMINE_WATCH_ONLY;
+ }
+
+ if (nCount < 0)
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Negative count");
+ if (nFrom < 0)
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Negative from");
+
+ UniValue ret(UniValue::VARR);
+
+ {
+ LOCK(pwallet->cs_wallet);
+
+ const CWallet::TxItems & txOrdered = pwallet->wtxOrdered;
+
+ // iterate backwards until we have nCount items to return:
+ for (CWallet::TxItems::const_reverse_iterator it = txOrdered.rbegin(); it != txOrdered.rend(); ++it)
+ {
+ CWalletTx *const pwtx = (*it).second;
+ ListTransactions(*pwallet, *pwtx, 0, true, ret, filter, filter_label);
+ if ((int)ret.size() >= (nCount+nFrom)) break;
+ }
+ }
+
+ // ret is newest to oldest
+
+ if (nFrom > (int)ret.size())
+ nFrom = ret.size();
+ if ((nFrom + nCount) > (int)ret.size())
+ nCount = ret.size() - nFrom;
+
+ const std::vector<UniValue>& txs = ret.getValues();
+ UniValue result{UniValue::VARR};
+ result.push_backV({ txs.rend() - nFrom - nCount, txs.rend() - nFrom }); // Return oldest to newest
+ return result;
+},
+ };
+}
+
+RPCHelpMan listsinceblock()
+{
+ return RPCHelpMan{"listsinceblock",
+ "\nGet all transactions in blocks since block [blockhash], or all transactions if omitted.\n"
+ "If \"blockhash\" is no longer a part of the main chain, transactions from the fork point onward are included.\n"
+ "Additionally, if include_removed is set, transactions affecting the wallet which were removed are returned in the \"removed\" array.\n",
+ {
+ {"blockhash", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "If set, the block hash to list transactions since, otherwise list all transactions."},
+ {"target_confirmations", RPCArg::Type::NUM, RPCArg::Default{1}, "Return the nth block hash from the main chain. e.g. 1 would mean the best block hash. Note: this is not used as a filter, but only affects [lastblock] in the return value"},
+ {"include_watchonly", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"}, "Include transactions to watch-only addresses (see 'importaddress')"},
+ {"include_removed", RPCArg::Type::BOOL, RPCArg::Default{true}, "Show transactions that were removed due to a reorg in the \"removed\" array\n"
+ "(not guaranteed to work on pruned nodes)"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::ARR, "transactions", "",
+ {
+ {RPCResult::Type::OBJ, "", "", Cat(Cat<std::vector<RPCResult>>(
+ {
+ {RPCResult::Type::BOOL, "involvesWatchonly", /*optional=*/true, "Only returns true if imported addresses were involved in transaction."},
+ {RPCResult::Type::STR, "address", "The bitcoin address of the transaction."},
+ {RPCResult::Type::STR, "category", "The transaction category.\n"
+ "\"send\" Transactions sent.\n"
+ "\"receive\" Non-coinbase transactions received.\n"
+ "\"generate\" Coinbase transactions received with more than 100 confirmations.\n"
+ "\"immature\" Coinbase transactions received with 100 or fewer confirmations.\n"
+ "\"orphan\" Orphaned coinbase transactions received."},
+ {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT + ". This is negative for the 'send' category, and is positive\n"
+ "for all other categories"},
+ {RPCResult::Type::NUM, "vout", "the vout value"},
+ {RPCResult::Type::STR_AMOUNT, "fee", /*optional=*/true, "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the\n"
+ "'send' category of transactions."},
+ },
+ TransactionDescriptionString()),
+ {
+ {RPCResult::Type::BOOL, "abandoned", /*optional=*/true, "'true' if the transaction has been abandoned (inputs are respendable). Only available for the \n"
+ "'send' category of transactions."},
+ {RPCResult::Type::STR, "label", /*optional=*/true, "A comment for the address/transaction, if any"},
+ })},
+ }},
+ {RPCResult::Type::ARR, "removed", /*optional=*/true, "<structure is the same as \"transactions\" above, only present if include_removed=true>\n"
+ "Note: transactions that were re-added in the active chain will appear as-is in this array, and may thus have a positive confirmation count."
+ , {{RPCResult::Type::ELISION, "", ""},}},
+ {RPCResult::Type::STR_HEX, "lastblock", "The hash of the block (target_confirmations-1) from the best block on the main chain, or the genesis hash if the referenced block does not exist yet. This is typically used to feed back into listsinceblock the next time you call it. So you would generally use a target_confirmations of say 6, so you will be continually re-notified of transactions until they've reached 6 confirmations plus any new ones"},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("listsinceblock", "")
+ + HelpExampleCli("listsinceblock", "\"000000000000000bacf66f7497b7dc45ef753ee9a7d38571037cdb1a57f663ad\" 6")
+ + HelpExampleRpc("listsinceblock", "\"000000000000000bacf66f7497b7dc45ef753ee9a7d38571037cdb1a57f663ad\", 6")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ const CWallet& wallet = *pwallet;
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
+
+ LOCK(wallet.cs_wallet);
+
+ std::optional<int> height; // Height of the specified block or the common ancestor, if the block provided was in a deactivated chain.
+ std::optional<int> altheight; // Height of the specified block, even if it's in a deactivated chain.
+ int target_confirms = 1;
+ isminefilter filter = ISMINE_SPENDABLE;
+
+ uint256 blockId;
+ if (!request.params[0].isNull() && !request.params[0].get_str().empty()) {
+ blockId = ParseHashV(request.params[0], "blockhash");
+ height = int{};
+ altheight = int{};
+ if (!wallet.chain().findCommonAncestor(blockId, wallet.GetLastBlockHash(), /* ancestor out */ FoundBlock().height(*height), /* blockId out */ FoundBlock().height(*altheight))) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
+ }
+ }
+
+ if (!request.params[1].isNull()) {
+ target_confirms = request.params[1].get_int();
+
+ if (target_confirms < 1) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter");
+ }
+ }
+
+ if (ParseIncludeWatchonly(request.params[2], wallet)) {
+ filter |= ISMINE_WATCH_ONLY;
+ }
+
+ bool include_removed = (request.params[3].isNull() || request.params[3].get_bool());
+
+ int depth = height ? wallet.GetLastBlockHeight() + 1 - *height : -1;
+
+ UniValue transactions(UniValue::VARR);
+
+ for (const std::pair<const uint256, CWalletTx>& pairWtx : wallet.mapWallet) {
+ const CWalletTx& tx = pairWtx.second;
+
+ if (depth == -1 || abs(wallet.GetTxDepthInMainChain(tx)) < depth) {
+ ListTransactions(wallet, tx, 0, true, transactions, filter, nullptr /* filter_label */);
+ }
+ }
+
+ // when a reorg'd block is requested, we also list any relevant transactions
+ // in the blocks of the chain that was detached
+ UniValue removed(UniValue::VARR);
+ while (include_removed && altheight && *altheight > *height) {
+ CBlock block;
+ if (!wallet.chain().findBlock(blockId, FoundBlock().data(block)) || block.IsNull()) {
+ throw JSONRPCError(RPC_INTERNAL_ERROR, "Can't read block from disk");
+ }
+ for (const CTransactionRef& tx : block.vtx) {
+ auto it = wallet.mapWallet.find(tx->GetHash());
+ if (it != wallet.mapWallet.end()) {
+ // We want all transactions regardless of confirmation count to appear here,
+ // even negative confirmation ones, hence the big negative.
+ ListTransactions(wallet, it->second, -100000000, true, removed, filter, nullptr /* filter_label */);
+ }
+ }
+ blockId = block.hashPrevBlock;
+ --*altheight;
+ }
+
+ uint256 lastblock;
+ target_confirms = std::min(target_confirms, wallet.GetLastBlockHeight() + 1);
+ CHECK_NONFATAL(wallet.chain().findAncestorByHeight(wallet.GetLastBlockHash(), wallet.GetLastBlockHeight() + 1 - target_confirms, FoundBlock().hash(lastblock)));
+
+ UniValue ret(UniValue::VOBJ);
+ ret.pushKV("transactions", transactions);
+ if (include_removed) ret.pushKV("removed", removed);
+ ret.pushKV("lastblock", lastblock.GetHex());
+
+ return ret;
+},
+ };
+}
+
+RPCHelpMan gettransaction()
+{
+ return RPCHelpMan{"gettransaction",
+ "\nGet detailed information about in-wallet transaction <txid>\n",
+ {
+ {"txid", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction id"},
+ {"include_watchonly", RPCArg::Type::BOOL, RPCArg::DefaultHint{"true for watch-only wallets, otherwise false"},
+ "Whether to include watch-only addresses in balance calculation and details[]"},
+ {"verbose", RPCArg::Type::BOOL, RPCArg::Default{false},
+ "Whether to include a `decoded` field containing the decoded transaction (equivalent to RPC decoderawtransaction)"},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "", Cat(Cat<std::vector<RPCResult>>(
+ {
+ {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT},
+ {RPCResult::Type::STR_AMOUNT, "fee", /*optional=*/true, "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the\n"
+ "'send' category of transactions."},
+ },
+ TransactionDescriptionString()),
+ {
+ {RPCResult::Type::ARR, "details", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::BOOL, "involvesWatchonly", /*optional=*/true, "Only returns true if imported addresses were involved in transaction."},
+ {RPCResult::Type::STR, "address", /*optional=*/true, "The bitcoin address involved in the transaction."},
+ {RPCResult::Type::STR, "category", "The transaction category.\n"
+ "\"send\" Transactions sent.\n"
+ "\"receive\" Non-coinbase transactions received.\n"
+ "\"generate\" Coinbase transactions received with more than 100 confirmations.\n"
+ "\"immature\" Coinbase transactions received with 100 or fewer confirmations.\n"
+ "\"orphan\" Orphaned coinbase transactions received."},
+ {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT},
+ {RPCResult::Type::STR, "label", /*optional=*/true, "A comment for the address/transaction, if any"},
+ {RPCResult::Type::NUM, "vout", "the vout value"},
+ {RPCResult::Type::STR_AMOUNT, "fee", /*optional=*/true, "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the \n"
+ "'send' category of transactions."},
+ {RPCResult::Type::BOOL, "abandoned", /*optional=*/true, "'true' if the transaction has been abandoned (inputs are respendable). Only available for the \n"
+ "'send' category of transactions."},
+ }},
+ }},
+ {RPCResult::Type::STR_HEX, "hex", "Raw data for transaction"},
+ {RPCResult::Type::OBJ, "decoded", /*optional=*/true, "The decoded transaction (only present when `verbose` is passed)",
+ {
+ {RPCResult::Type::ELISION, "", "Equivalent to the RPC decoderawtransaction method, or the RPC getrawtransaction method when `verbose` is passed."},
+ }},
+ })
+ },
+ RPCExamples{
+ HelpExampleCli("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
+ + HelpExampleCli("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\" true")
+ + HelpExampleCli("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\" false true")
+ + HelpExampleRpc("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ uint256 hash(ParseHashV(request.params[0], "txid"));
+
+ isminefilter filter = ISMINE_SPENDABLE;
+
+ if (ParseIncludeWatchonly(request.params[1], *pwallet)) {
+ filter |= ISMINE_WATCH_ONLY;
+ }
+
+ bool verbose = request.params[2].isNull() ? false : request.params[2].get_bool();
+
+ UniValue entry(UniValue::VOBJ);
+ auto it = pwallet->mapWallet.find(hash);
+ if (it == pwallet->mapWallet.end()) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid or non-wallet transaction id");
+ }
+ const CWalletTx& wtx = it->second;
+
+ CAmount nCredit = CachedTxGetCredit(*pwallet, wtx, filter);
+ CAmount nDebit = CachedTxGetDebit(*pwallet, wtx, filter);
+ CAmount nNet = nCredit - nDebit;
+ CAmount nFee = (CachedTxIsFromMe(*pwallet, wtx, filter) ? wtx.tx->GetValueOut() - nDebit : 0);
+
+ entry.pushKV("amount", ValueFromAmount(nNet - nFee));
+ if (CachedTxIsFromMe(*pwallet, wtx, filter))
+ entry.pushKV("fee", ValueFromAmount(nFee));
+
+ WalletTxToJSON(*pwallet, wtx, entry);
+
+ UniValue details(UniValue::VARR);
+ ListTransactions(*pwallet, wtx, 0, false, details, filter, nullptr /* filter_label */);
+ entry.pushKV("details", details);
+
+ std::string strHex = EncodeHexTx(*wtx.tx, pwallet->chain().rpcSerializationFlags());
+ entry.pushKV("hex", strHex);
+
+ if (verbose) {
+ UniValue decoded(UniValue::VOBJ);
+ TxToUniv(*wtx.tx, uint256(), decoded, false);
+ entry.pushKV("decoded", decoded);
+ }
+
+ return entry;
+},
+ };
+}
+
+RPCHelpMan abandontransaction()
+{
+ return RPCHelpMan{"abandontransaction",
+ "\nMark in-wallet transaction <txid> as abandoned\n"
+ "This will mark this transaction and all its in-wallet descendants as abandoned which will allow\n"
+ "for their inputs to be respent. It can be used to replace \"stuck\" or evicted transactions.\n"
+ "It only works on transactions which are not included in a block and are not currently in the mempool.\n"
+ "It has no effect on transactions which are already abandoned.\n",
+ {
+ {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
+ },
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("abandontransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
+ + HelpExampleRpc("abandontransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ uint256 hash(ParseHashV(request.params[0], "txid"));
+
+ if (!pwallet->mapWallet.count(hash)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid or non-wallet transaction id");
+ }
+ if (!pwallet->AbandonTransaction(hash)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Transaction not eligible for abandonment");
+ }
+
+ return NullUniValue;
+},
+ };
+}
+
+RPCHelpMan rescanblockchain()
+{
+ return RPCHelpMan{"rescanblockchain",
+ "\nRescan the local blockchain for wallet related transactions.\n"
+ "Note: Use \"getwalletinfo\" to query the scanning progress.\n",
+ {
+ {"start_height", RPCArg::Type::NUM, RPCArg::Default{0}, "block height where the rescan should start"},
+ {"stop_height", RPCArg::Type::NUM, RPCArg::Optional::OMITTED_NAMED_ARG, "the last block height that should be scanned. If none is provided it will rescan up to the tip at return time of this call."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::NUM, "start_height", "The block height where the rescan started (the requested height or 0)"},
+ {RPCResult::Type::NUM, "stop_height", "The height of the last rescanned block. May be null in rare cases if there was a reorg and the call didn't scan any blocks because they were already scanned in the background."},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("rescanblockchain", "100000 120000")
+ + HelpExampleRpc("rescanblockchain", "100000, 120000")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+ CWallet& wallet{*pwallet};
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ wallet.BlockUntilSyncedToCurrentChain();
+
+ WalletRescanReserver reserver(*pwallet);
+ if (!reserver.reserve()) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Wallet is currently rescanning. Abort existing rescan or wait.");
+ }
+
+ int start_height = 0;
+ std::optional<int> stop_height;
+ uint256 start_block;
+ {
+ LOCK(pwallet->cs_wallet);
+ int tip_height = pwallet->GetLastBlockHeight();
+
+ if (!request.params[0].isNull()) {
+ start_height = request.params[0].get_int();
+ if (start_height < 0 || start_height > tip_height) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid start_height");
+ }
+ }
+
+ if (!request.params[1].isNull()) {
+ stop_height = request.params[1].get_int();
+ if (*stop_height < 0 || *stop_height > tip_height) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid stop_height");
+ } else if (*stop_height < start_height) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "stop_height must be greater than start_height");
+ }
+ }
+
+ // We can't rescan beyond non-pruned blocks, stop and throw an error
+ if (!pwallet->chain().hasBlocks(pwallet->GetLastBlockHash(), start_height, stop_height)) {
+ throw JSONRPCError(RPC_MISC_ERROR, "Can't rescan beyond pruned data. Use RPC call getblockchaininfo to determine your pruned height.");
+ }
+
+ CHECK_NONFATAL(pwallet->chain().findAncestorByHeight(pwallet->GetLastBlockHash(), start_height, FoundBlock().hash(start_block)));
+ }
+
+ CWallet::ScanResult result =
+ pwallet->ScanForWalletTransactions(start_block, start_height, stop_height, reserver, true /* fUpdate */);
+ switch (result.status) {
+ case CWallet::ScanResult::SUCCESS:
+ break;
+ case CWallet::ScanResult::FAILURE:
+ throw JSONRPCError(RPC_MISC_ERROR, "Rescan failed. Potentially corrupted data files.");
+ case CWallet::ScanResult::USER_ABORT:
+ throw JSONRPCError(RPC_MISC_ERROR, "Rescan aborted.");
+ // no default case, so the compiler can warn about missing cases
+ }
+ UniValue response(UniValue::VOBJ);
+ response.pushKV("start_height", start_height);
+ response.pushKV("stop_height", result.last_scanned_height ? *result.last_scanned_height : UniValue());
+ return response;
+},
+ };
+}
+
+RPCHelpMan abortrescan()
+{
+ return RPCHelpMan{"abortrescan",
+ "\nStops current wallet rescan triggered by an RPC call, e.g. by an importprivkey call.\n"
+ "Note: Use \"getwalletinfo\" to query the scanning progress.\n",
+ {},
+ RPCResult{RPCResult::Type::BOOL, "", "Whether the abort was successful"},
+ RPCExamples{
+ "\nImport a private key\n"
+ + HelpExampleCli("importprivkey", "\"mykey\"") +
+ "\nAbort the running wallet rescan\n"
+ + HelpExampleCli("abortrescan", "") +
+ "\nAs a JSON-RPC call\n"
+ + HelpExampleRpc("abortrescan", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ if (!pwallet->IsScanning() || pwallet->IsAbortingRescan()) return false;
+ pwallet->AbortRescan();
+ return true;
+},
+ };
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/util.cpp b/src/wallet/rpc/util.cpp
new file mode 100644
index 0000000000..59683c5fd8
--- /dev/null
+++ b/src/wallet/rpc/util.cpp
@@ -0,0 +1,152 @@
+// Copyright (c) 2011-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <wallet/rpc/util.h>
+
+#include <rpc/util.h>
+#include <util/translation.h>
+#include <util/url.h>
+#include <wallet/context.h>
+#include <wallet/wallet.h>
+
+#include <univalue.h>
+
+namespace wallet {
+static const std::string WALLET_ENDPOINT_BASE = "/wallet/";
+const std::string HELP_REQUIRING_PASSPHRASE{"\nRequires wallet passphrase to be set with walletpassphrase call if wallet is encrypted.\n"};
+
+bool GetAvoidReuseFlag(const CWallet& wallet, const UniValue& param) {
+ bool can_avoid_reuse = wallet.IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE);
+ bool avoid_reuse = param.isNull() ? can_avoid_reuse : param.get_bool();
+
+ if (avoid_reuse && !can_avoid_reuse) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "wallet does not have the \"avoid reuse\" feature enabled");
+ }
+
+ return avoid_reuse;
+}
+
+/** Used by RPC commands that have an include_watchonly parameter.
+ * We default to true for watchonly wallets if include_watchonly isn't
+ * explicitly set.
+ */
+bool ParseIncludeWatchonly(const UniValue& include_watchonly, const CWallet& wallet)
+{
+ if (include_watchonly.isNull()) {
+ // if include_watchonly isn't explicitly set, then check if we have a watchonly wallet
+ return wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
+ }
+
+ // otherwise return whatever include_watchonly was set to
+ return include_watchonly.get_bool();
+}
+
+bool GetWalletNameFromJSONRPCRequest(const JSONRPCRequest& request, std::string& wallet_name)
+{
+ if (URL_DECODE && request.URI.substr(0, WALLET_ENDPOINT_BASE.size()) == WALLET_ENDPOINT_BASE) {
+ // wallet endpoint was used
+ wallet_name = URL_DECODE(request.URI.substr(WALLET_ENDPOINT_BASE.size()));
+ return true;
+ }
+ return false;
+}
+
+std::shared_ptr<CWallet> GetWalletForJSONRPCRequest(const JSONRPCRequest& request)
+{
+ CHECK_NONFATAL(request.mode == JSONRPCRequest::EXECUTE);
+ WalletContext& context = EnsureWalletContext(request.context);
+
+ std::string wallet_name;
+ if (GetWalletNameFromJSONRPCRequest(request, wallet_name)) {
+ const std::shared_ptr<CWallet> pwallet = GetWallet(context, wallet_name);
+ if (!pwallet) throw JSONRPCError(RPC_WALLET_NOT_FOUND, "Requested wallet does not exist or is not loaded");
+ return pwallet;
+ }
+
+ std::vector<std::shared_ptr<CWallet>> wallets = GetWallets(context);
+ if (wallets.size() == 1) {
+ return wallets[0];
+ }
+
+ if (wallets.empty()) {
+ throw JSONRPCError(
+ RPC_WALLET_NOT_FOUND, "No wallet is loaded. Load a wallet using loadwallet or create a new one with createwallet. (Note: A default wallet is no longer automatically created)");
+ }
+ throw JSONRPCError(RPC_WALLET_NOT_SPECIFIED,
+ "Wallet file not specified (must request wallet RPC through /wallet/<filename> uri-path).");
+}
+
+void EnsureWalletIsUnlocked(const CWallet& wallet)
+{
+ if (wallet.IsLocked()) {
+ throw JSONRPCError(RPC_WALLET_UNLOCK_NEEDED, "Error: Please enter the wallet passphrase with walletpassphrase first.");
+ }
+}
+
+WalletContext& EnsureWalletContext(const std::any& context)
+{
+ auto wallet_context = util::AnyPtr<WalletContext>(context);
+ if (!wallet_context) {
+ throw JSONRPCError(RPC_INTERNAL_ERROR, "Wallet context not found");
+ }
+ return *wallet_context;
+}
+
+// also_create should only be set to true only when the RPC is expected to add things to a blank wallet and make it no longer blank
+LegacyScriptPubKeyMan& EnsureLegacyScriptPubKeyMan(CWallet& wallet, bool also_create)
+{
+ LegacyScriptPubKeyMan* spk_man = wallet.GetLegacyScriptPubKeyMan();
+ if (!spk_man && also_create) {
+ spk_man = wallet.GetOrCreateLegacyScriptPubKeyMan();
+ }
+ if (!spk_man) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "This type of wallet does not support this command");
+ }
+ return *spk_man;
+}
+
+const LegacyScriptPubKeyMan& EnsureConstLegacyScriptPubKeyMan(const CWallet& wallet)
+{
+ const LegacyScriptPubKeyMan* spk_man = wallet.GetLegacyScriptPubKeyMan();
+ if (!spk_man) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "This type of wallet does not support this command");
+ }
+ return *spk_man;
+}
+
+std::string LabelFromValue(const UniValue& value)
+{
+ std::string label = value.get_str();
+ if (label == "*")
+ throw JSONRPCError(RPC_WALLET_INVALID_LABEL_NAME, "Invalid label name");
+ return label;
+}
+
+void HandleWalletError(const std::shared_ptr<CWallet> wallet, DatabaseStatus& status, bilingual_str& error)
+{
+ if (!wallet) {
+ // Map bad format to not found, since bad format is returned when the
+ // wallet directory exists, but doesn't contain a data file.
+ RPCErrorCode code = RPC_WALLET_ERROR;
+ switch (status) {
+ case DatabaseStatus::FAILED_NOT_FOUND:
+ case DatabaseStatus::FAILED_BAD_FORMAT:
+ code = RPC_WALLET_NOT_FOUND;
+ break;
+ case DatabaseStatus::FAILED_ALREADY_LOADED:
+ code = RPC_WALLET_ALREADY_LOADED;
+ break;
+ case DatabaseStatus::FAILED_ALREADY_EXISTS:
+ code = RPC_WALLET_ALREADY_EXISTS;
+ break;
+ case DatabaseStatus::FAILED_INVALID_BACKUP_FILE:
+ code = RPC_INVALID_PARAMETER;
+ break;
+ default: // RPC_WALLET_ERROR is returned for all other cases.
+ break;
+ }
+ throw JSONRPCError(code, error.original);
+ }
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/util.h b/src/wallet/rpc/util.h
new file mode 100644
index 0000000000..7b810eb06e
--- /dev/null
+++ b/src/wallet/rpc/util.h
@@ -0,0 +1,46 @@
+// Copyright (c) 2017-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_WALLET_RPC_UTIL_H
+#define BITCOIN_WALLET_RPC_UTIL_H
+
+#include <any>
+#include <memory>
+#include <string>
+#include <vector>
+
+class JSONRPCRequest;
+class UniValue;
+struct bilingual_str;
+
+namespace wallet {
+class CWallet;
+class LegacyScriptPubKeyMan;
+enum class DatabaseStatus;
+struct WalletContext;
+
+extern const std::string HELP_REQUIRING_PASSPHRASE;
+
+/**
+ * Figures out what wallet, if any, to use for a JSONRPCRequest.
+ *
+ * @param[in] request JSONRPCRequest that wishes to access a wallet
+ * @return nullptr if no wallet should be used, or a pointer to the CWallet
+ */
+std::shared_ptr<CWallet> GetWalletForJSONRPCRequest(const JSONRPCRequest& request);
+bool GetWalletNameFromJSONRPCRequest(const JSONRPCRequest& request, std::string& wallet_name);
+
+void EnsureWalletIsUnlocked(const CWallet&);
+WalletContext& EnsureWalletContext(const std::any& context);
+LegacyScriptPubKeyMan& EnsureLegacyScriptPubKeyMan(CWallet& wallet, bool also_create = false);
+const LegacyScriptPubKeyMan& EnsureConstLegacyScriptPubKeyMan(const CWallet& wallet);
+
+bool GetAvoidReuseFlag(const CWallet& wallet, const UniValue& param);
+bool ParseIncludeWatchonly(const UniValue& include_watchonly, const CWallet& wallet);
+std::string LabelFromValue(const UniValue& value);
+
+void HandleWalletError(const std::shared_ptr<CWallet> wallet, DatabaseStatus& status, bilingual_str& error);
+} // namespace wallet
+
+#endif // BITCOIN_WALLET_RPC_UTIL_H
diff --git a/src/wallet/rpc/wallet.cpp b/src/wallet/rpc/wallet.cpp
new file mode 100644
index 0000000000..883a3c102b
--- /dev/null
+++ b/src/wallet/rpc/wallet.cpp
@@ -0,0 +1,735 @@
+// Copyright (c) 2010 Satoshi Nakamoto
+// Copyright (c) 2009-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <core_io.h>
+#include <key_io.h>
+#include <rpc/server.h>
+#include <rpc/util.h>
+#include <util/translation.h>
+#include <wallet/receive.h>
+#include <wallet/rpc/wallet.h>
+#include <wallet/rpc/util.h>
+#include <wallet/wallet.h>
+
+#include <optional>
+
+#include <univalue.h>
+
+
+namespace wallet {
+/** Checks if a CKey is in the given CWallet compressed or otherwise*/
+bool HaveKey(const SigningProvider& wallet, const CKey& key)
+{
+ CKey key2;
+ key2.Set(key.begin(), key.end(), !key.IsCompressed());
+ return wallet.HaveKey(key.GetPubKey().GetID()) || wallet.HaveKey(key2.GetPubKey().GetID());
+}
+
+static RPCHelpMan getwalletinfo()
+{
+ return RPCHelpMan{"getwalletinfo",
+ "Returns an object containing various wallet state info.\n",
+ {},
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {
+ {RPCResult::Type::STR, "walletname", "the wallet name"},
+ {RPCResult::Type::NUM, "walletversion", "the wallet version"},
+ {RPCResult::Type::STR, "format", "the database format (bdb or sqlite)"},
+ {RPCResult::Type::STR_AMOUNT, "balance", "DEPRECATED. Identical to getbalances().mine.trusted"},
+ {RPCResult::Type::STR_AMOUNT, "unconfirmed_balance", "DEPRECATED. Identical to getbalances().mine.untrusted_pending"},
+ {RPCResult::Type::STR_AMOUNT, "immature_balance", "DEPRECATED. Identical to getbalances().mine.immature"},
+ {RPCResult::Type::NUM, "txcount", "the total number of transactions in the wallet"},
+ {RPCResult::Type::NUM_TIME, "keypoololdest", /*optional=*/true, "the " + UNIX_EPOCH_TIME + " of the oldest pre-generated key in the key pool. Legacy wallets only."},
+ {RPCResult::Type::NUM, "keypoolsize", "how many new keys are pre-generated (only counts external keys)"},
+ {RPCResult::Type::NUM, "keypoolsize_hd_internal", /*optional=*/true, "how many new keys are pre-generated for internal use (used for change outputs, only appears if the wallet is using this feature, otherwise external keys are used)"},
+ {RPCResult::Type::NUM_TIME, "unlocked_until", /*optional=*/true, "the " + UNIX_EPOCH_TIME + " until which the wallet is unlocked for transfers, or 0 if the wallet is locked (only present for passphrase-encrypted wallets)"},
+ {RPCResult::Type::STR_AMOUNT, "paytxfee", "the transaction fee configuration, set in " + CURRENCY_UNIT + "/kvB"},
+ {RPCResult::Type::STR_HEX, "hdseedid", /*optional=*/true, "the Hash160 of the HD seed (only present when HD is enabled)"},
+ {RPCResult::Type::BOOL, "private_keys_enabled", "false if privatekeys are disabled for this wallet (enforced watch-only wallet)"},
+ {RPCResult::Type::BOOL, "avoid_reuse", "whether this wallet tracks clean/dirty coins in terms of reuse"},
+ {RPCResult::Type::OBJ, "scanning", "current scanning details, or false if no scan is in progress",
+ {
+ {RPCResult::Type::NUM, "duration", "elapsed seconds since scan start"},
+ {RPCResult::Type::NUM, "progress", "scanning progress percentage [0.0, 1.0]"},
+ }},
+ {RPCResult::Type::BOOL, "descriptors", "whether this wallet uses descriptors for scriptPubKey management"},
+ {RPCResult::Type::BOOL, "external_signer", "whether this wallet is configured to use an external signer such as a hardware wallet"},
+ }},
+ },
+ RPCExamples{
+ HelpExampleCli("getwalletinfo", "")
+ + HelpExampleRpc("getwalletinfo", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ const std::shared_ptr<const CWallet> pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ // Make sure the results are valid at least up to the most recent block
+ // the user could have gotten from another RPC command prior to now
+ pwallet->BlockUntilSyncedToCurrentChain();
+
+ LOCK(pwallet->cs_wallet);
+
+ UniValue obj(UniValue::VOBJ);
+
+ size_t kpExternalSize = pwallet->KeypoolCountExternalKeys();
+ const auto bal = GetBalance(*pwallet);
+ obj.pushKV("walletname", pwallet->GetName());
+ obj.pushKV("walletversion", pwallet->GetVersion());
+ obj.pushKV("format", pwallet->GetDatabase().Format());
+ obj.pushKV("balance", ValueFromAmount(bal.m_mine_trusted));
+ obj.pushKV("unconfirmed_balance", ValueFromAmount(bal.m_mine_untrusted_pending));
+ obj.pushKV("immature_balance", ValueFromAmount(bal.m_mine_immature));
+ obj.pushKV("txcount", (int)pwallet->mapWallet.size());
+ const auto kp_oldest = pwallet->GetOldestKeyPoolTime();
+ if (kp_oldest.has_value()) {
+ obj.pushKV("keypoololdest", kp_oldest.value());
+ }
+ obj.pushKV("keypoolsize", (int64_t)kpExternalSize);
+
+ LegacyScriptPubKeyMan* spk_man = pwallet->GetLegacyScriptPubKeyMan();
+ if (spk_man) {
+ CKeyID seed_id = spk_man->GetHDChain().seed_id;
+ if (!seed_id.IsNull()) {
+ obj.pushKV("hdseedid", seed_id.GetHex());
+ }
+ }
+
+ if (pwallet->CanSupportFeature(FEATURE_HD_SPLIT)) {
+ obj.pushKV("keypoolsize_hd_internal", (int64_t)(pwallet->GetKeyPoolSize() - kpExternalSize));
+ }
+ if (pwallet->IsCrypted()) {
+ obj.pushKV("unlocked_until", pwallet->nRelockTime);
+ }
+ obj.pushKV("paytxfee", ValueFromAmount(pwallet->m_pay_tx_fee.GetFeePerK()));
+ obj.pushKV("private_keys_enabled", !pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS));
+ obj.pushKV("avoid_reuse", pwallet->IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE));
+ if (pwallet->IsScanning()) {
+ UniValue scanning(UniValue::VOBJ);
+ scanning.pushKV("duration", pwallet->ScanningDuration() / 1000);
+ scanning.pushKV("progress", pwallet->ScanningProgress());
+ obj.pushKV("scanning", scanning);
+ } else {
+ obj.pushKV("scanning", false);
+ }
+ obj.pushKV("descriptors", pwallet->IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS));
+ obj.pushKV("external_signer", pwallet->IsWalletFlagSet(WALLET_FLAG_EXTERNAL_SIGNER));
+ return obj;
+},
+ };
+}
+
+static RPCHelpMan listwalletdir()
+{
+ return RPCHelpMan{"listwalletdir",
+ "Returns a list of wallets in the wallet directory.\n",
+ {},
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::ARR, "wallets", "",
+ {
+ {RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "name", "The wallet name"},
+ }},
+ }},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("listwalletdir", "")
+ + HelpExampleRpc("listwalletdir", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ UniValue wallets(UniValue::VARR);
+ for (const auto& path : ListDatabases(GetWalletDir())) {
+ UniValue wallet(UniValue::VOBJ);
+ wallet.pushKV("name", path.u8string());
+ wallets.push_back(wallet);
+ }
+
+ UniValue result(UniValue::VOBJ);
+ result.pushKV("wallets", wallets);
+ return result;
+},
+ };
+}
+
+static RPCHelpMan listwallets()
+{
+ return RPCHelpMan{"listwallets",
+ "Returns a list of currently loaded wallets.\n"
+ "For full information on the wallet, use \"getwalletinfo\"\n",
+ {},
+ RPCResult{
+ RPCResult::Type::ARR, "", "",
+ {
+ {RPCResult::Type::STR, "walletname", "the wallet name"},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("listwallets", "")
+ + HelpExampleRpc("listwallets", "")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ UniValue obj(UniValue::VARR);
+
+ WalletContext& context = EnsureWalletContext(request.context);
+ for (const std::shared_ptr<CWallet>& wallet : GetWallets(context)) {
+ LOCK(wallet->cs_wallet);
+ obj.push_back(wallet->GetName());
+ }
+
+ return obj;
+},
+ };
+}
+
+static RPCHelpMan loadwallet()
+{
+ return RPCHelpMan{"loadwallet",
+ "\nLoads a wallet from a wallet file or directory."
+ "\nNote that all wallet command-line options used when starting bitcoind will be"
+ "\napplied to the new wallet.\n",
+ {
+ {"filename", RPCArg::Type::STR, RPCArg::Optional::NO, "The wallet directory or .dat file."},
+ {"load_on_startup", RPCArg::Type::BOOL, RPCArg::Optional::OMITTED_NAMED_ARG, "Save wallet name to persistent settings and load on startup. True to add wallet to startup list, false to remove, null to leave unchanged."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "name", "The wallet name if loaded successfully."},
+ {RPCResult::Type::STR, "warning", "Warning message if wallet was not loaded cleanly."},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("loadwallet", "\"test.dat\"")
+ + HelpExampleRpc("loadwallet", "\"test.dat\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ WalletContext& context = EnsureWalletContext(request.context);
+ const std::string name(request.params[0].get_str());
+
+ DatabaseOptions options;
+ DatabaseStatus status;
+ options.require_existing = true;
+ bilingual_str error;
+ std::vector<bilingual_str> warnings;
+ std::optional<bool> load_on_start = request.params[1].isNull() ? std::nullopt : std::optional<bool>(request.params[1].get_bool());
+ std::shared_ptr<CWallet> const wallet = LoadWallet(context, name, load_on_start, options, status, error, warnings);
+
+ HandleWalletError(wallet, status, error);
+
+ UniValue obj(UniValue::VOBJ);
+ obj.pushKV("name", wallet->GetName());
+ obj.pushKV("warning", Join(warnings, Untranslated("\n")).original);
+
+ return obj;
+},
+ };
+}
+
+static RPCHelpMan setwalletflag()
+{
+ std::string flags = "";
+ for (auto& it : WALLET_FLAG_MAP)
+ if (it.second & MUTABLE_WALLET_FLAGS)
+ flags += (flags == "" ? "" : ", ") + it.first;
+
+ return RPCHelpMan{"setwalletflag",
+ "\nChange the state of the given wallet flag for a wallet.\n",
+ {
+ {"flag", RPCArg::Type::STR, RPCArg::Optional::NO, "The name of the flag to change. Current available flags: " + flags},
+ {"value", RPCArg::Type::BOOL, RPCArg::Default{true}, "The new state."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "flag_name", "The name of the flag that was modified"},
+ {RPCResult::Type::BOOL, "flag_state", "The new state of the flag"},
+ {RPCResult::Type::STR, "warnings", "Any warnings associated with the change"},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("setwalletflag", "avoid_reuse")
+ + HelpExampleRpc("setwalletflag", "\"avoid_reuse\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ std::string flag_str = request.params[0].get_str();
+ bool value = request.params[1].isNull() || request.params[1].get_bool();
+
+ if (!WALLET_FLAG_MAP.count(flag_str)) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Unknown wallet flag: %s", flag_str));
+ }
+
+ auto flag = WALLET_FLAG_MAP.at(flag_str);
+
+ if (!(flag & MUTABLE_WALLET_FLAGS)) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Wallet flag is immutable: %s", flag_str));
+ }
+
+ UniValue res(UniValue::VOBJ);
+
+ if (pwallet->IsWalletFlagSet(flag) == value) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Wallet flag is already set to %s: %s", value ? "true" : "false", flag_str));
+ }
+
+ res.pushKV("flag_name", flag_str);
+ res.pushKV("flag_state", value);
+
+ if (value) {
+ pwallet->SetWalletFlag(flag);
+ } else {
+ pwallet->UnsetWalletFlag(flag);
+ }
+
+ if (flag && value && WALLET_FLAG_CAVEATS.count(flag)) {
+ res.pushKV("warnings", WALLET_FLAG_CAVEATS.at(flag));
+ }
+
+ return res;
+},
+ };
+}
+
+static RPCHelpMan createwallet()
+{
+ return RPCHelpMan{
+ "createwallet",
+ "\nCreates and loads a new wallet.\n",
+ {
+ {"wallet_name", RPCArg::Type::STR, RPCArg::Optional::NO, "The name for the new wallet. If this is a path, the wallet will be created at the path location."},
+ {"disable_private_keys", RPCArg::Type::BOOL, RPCArg::Default{false}, "Disable the possibility of private keys (only watchonlys are possible in this mode)."},
+ {"blank", RPCArg::Type::BOOL, RPCArg::Default{false}, "Create a blank wallet. A blank wallet has no keys or HD seed. One can be set using sethdseed."},
+ {"passphrase", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "Encrypt the wallet with this passphrase."},
+ {"avoid_reuse", RPCArg::Type::BOOL, RPCArg::Default{false}, "Keep track of coin reuse, and treat dirty and clean coins differently with privacy considerations in mind."},
+ {"descriptors", RPCArg::Type::BOOL, RPCArg::Default{true}, "Create a native descriptor wallet. The wallet will use descriptors internally to handle address creation"},
+ {"load_on_startup", RPCArg::Type::BOOL, RPCArg::Optional::OMITTED_NAMED_ARG, "Save wallet name to persistent settings and load on startup. True to add wallet to startup list, false to remove, null to leave unchanged."},
+ {"external_signer", RPCArg::Type::BOOL, RPCArg::Default{false}, "Use an external signer such as a hardware wallet. Requires -signer to be configured. Wallet creation will fail if keys cannot be fetched. Requires disable_private_keys and descriptors set to true."},
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "name", "The wallet name if created successfully. If the wallet was created using a full path, the wallet_name will be the full path."},
+ {RPCResult::Type::STR, "warning", "Warning message if wallet was not loaded cleanly."},
+ }
+ },
+ RPCExamples{
+ HelpExampleCli("createwallet", "\"testwallet\"")
+ + HelpExampleRpc("createwallet", "\"testwallet\"")
+ + HelpExampleCliNamed("createwallet", {{"wallet_name", "descriptors"}, {"avoid_reuse", true}, {"descriptors", true}, {"load_on_startup", true}})
+ + HelpExampleRpcNamed("createwallet", {{"wallet_name", "descriptors"}, {"avoid_reuse", true}, {"descriptors", true}, {"load_on_startup", true}})
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ WalletContext& context = EnsureWalletContext(request.context);
+ uint64_t flags = 0;
+ if (!request.params[1].isNull() && request.params[1].get_bool()) {
+ flags |= WALLET_FLAG_DISABLE_PRIVATE_KEYS;
+ }
+
+ if (!request.params[2].isNull() && request.params[2].get_bool()) {
+ flags |= WALLET_FLAG_BLANK_WALLET;
+ }
+ SecureString passphrase;
+ passphrase.reserve(100);
+ std::vector<bilingual_str> warnings;
+ if (!request.params[3].isNull()) {
+ passphrase = request.params[3].get_str().c_str();
+ if (passphrase.empty()) {
+ // Empty string means unencrypted
+ warnings.emplace_back(Untranslated("Empty string given as passphrase, wallet will not be encrypted."));
+ }
+ }
+
+ if (!request.params[4].isNull() && request.params[4].get_bool()) {
+ flags |= WALLET_FLAG_AVOID_REUSE;
+ }
+ if (request.params[5].isNull() || request.params[5].get_bool()) {
+#ifndef USE_SQLITE
+ throw JSONRPCError(RPC_WALLET_ERROR, "Compiled without sqlite support (required for descriptor wallets)");
+#endif
+ flags |= WALLET_FLAG_DESCRIPTORS;
+ }
+ if (!request.params[7].isNull() && request.params[7].get_bool()) {
+#ifdef ENABLE_EXTERNAL_SIGNER
+ flags |= WALLET_FLAG_EXTERNAL_SIGNER;
+#else
+ throw JSONRPCError(RPC_WALLET_ERROR, "Compiled without external signing support (required for external signing)");
+#endif
+ }
+
+#ifndef USE_BDB
+ if (!(flags & WALLET_FLAG_DESCRIPTORS)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Compiled without bdb support (required for legacy wallets)");
+ }
+#endif
+
+ DatabaseOptions options;
+ DatabaseStatus status;
+ options.require_create = true;
+ options.create_flags = flags;
+ options.create_passphrase = passphrase;
+ bilingual_str error;
+ std::optional<bool> load_on_start = request.params[6].isNull() ? std::nullopt : std::optional<bool>(request.params[6].get_bool());
+ const std::shared_ptr<CWallet> wallet = CreateWallet(context, request.params[0].get_str(), load_on_start, options, status, error, warnings);
+ if (!wallet) {
+ RPCErrorCode code = status == DatabaseStatus::FAILED_ENCRYPT ? RPC_WALLET_ENCRYPTION_FAILED : RPC_WALLET_ERROR;
+ throw JSONRPCError(code, error.original);
+ }
+
+ UniValue obj(UniValue::VOBJ);
+ obj.pushKV("name", wallet->GetName());
+ obj.pushKV("warning", Join(warnings, Untranslated("\n")).original);
+
+ return obj;
+},
+ };
+}
+
+static RPCHelpMan unloadwallet()
+{
+ return RPCHelpMan{"unloadwallet",
+ "Unloads the wallet referenced by the request endpoint otherwise unloads the wallet specified in the argument.\n"
+ "Specifying the wallet name on a wallet endpoint is invalid.",
+ {
+ {"wallet_name", RPCArg::Type::STR, RPCArg::DefaultHint{"the wallet name from the RPC endpoint"}, "The name of the wallet to unload. If provided both here and in the RPC endpoint, the two must be identical."},
+ {"load_on_startup", RPCArg::Type::BOOL, RPCArg::Optional::OMITTED_NAMED_ARG, "Save wallet name to persistent settings and load on startup. True to add wallet to startup list, false to remove, null to leave unchanged."},
+ },
+ RPCResult{RPCResult::Type::OBJ, "", "", {
+ {RPCResult::Type::STR, "warning", "Warning message if wallet was not unloaded cleanly."},
+ }},
+ RPCExamples{
+ HelpExampleCli("unloadwallet", "wallet_name")
+ + HelpExampleRpc("unloadwallet", "wallet_name")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::string wallet_name;
+ if (GetWalletNameFromJSONRPCRequest(request, wallet_name)) {
+ if (!(request.params[0].isNull() || request.params[0].get_str() == wallet_name)) {
+ throw JSONRPCError(RPC_INVALID_PARAMETER, "RPC endpoint wallet and wallet_name parameter specify different wallets");
+ }
+ } else {
+ wallet_name = request.params[0].get_str();
+ }
+
+ WalletContext& context = EnsureWalletContext(request.context);
+ std::shared_ptr<CWallet> wallet = GetWallet(context, wallet_name);
+ if (!wallet) {
+ throw JSONRPCError(RPC_WALLET_NOT_FOUND, "Requested wallet does not exist or is not loaded");
+ }
+
+ // Release the "main" shared pointer and prevent further notifications.
+ // Note that any attempt to load the same wallet would fail until the wallet
+ // is destroyed (see CheckUniqueFileid).
+ std::vector<bilingual_str> warnings;
+ std::optional<bool> load_on_start = request.params[1].isNull() ? std::nullopt : std::optional<bool>(request.params[1].get_bool());
+ if (!RemoveWallet(context, wallet, load_on_start, warnings)) {
+ throw JSONRPCError(RPC_MISC_ERROR, "Requested wallet already unloaded");
+ }
+
+ UnloadWallet(std::move(wallet));
+
+ UniValue result(UniValue::VOBJ);
+ result.pushKV("warning", Join(warnings, Untranslated("\n")).original);
+ return result;
+},
+ };
+}
+
+static RPCHelpMan sethdseed()
+{
+ return RPCHelpMan{"sethdseed",
+ "\nSet or generate a new HD wallet seed. Non-HD wallets will not be upgraded to being a HD wallet. Wallets that are already\n"
+ "HD will have a new HD seed set so that new keys added to the keypool will be derived from this new seed.\n"
+ "\nNote that you will need to MAKE A NEW BACKUP of your wallet after setting the HD wallet seed." +
+ HELP_REQUIRING_PASSPHRASE,
+ {
+ {"newkeypool", RPCArg::Type::BOOL, RPCArg::Default{true}, "Whether to flush old unused addresses, including change addresses, from the keypool and regenerate it.\n"
+ "If true, the next address from getnewaddress and change address from getrawchangeaddress will be from this new seed.\n"
+ "If false, addresses (including change addresses if the wallet already had HD Chain Split enabled) from the existing\n"
+ "keypool will be used until it has been depleted."},
+ {"seed", RPCArg::Type::STR, RPCArg::DefaultHint{"random seed"}, "The WIF private key to use as the new HD seed.\n"
+ "The seed value can be retrieved using the dumpwallet command. It is the private key marked hdseed=1"},
+ },
+ RPCResult{RPCResult::Type::NONE, "", ""},
+ RPCExamples{
+ HelpExampleCli("sethdseed", "")
+ + HelpExampleCli("sethdseed", "false")
+ + HelpExampleCli("sethdseed", "true \"wifkey\"")
+ + HelpExampleRpc("sethdseed", "true, \"wifkey\"")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ LegacyScriptPubKeyMan& spk_man = EnsureLegacyScriptPubKeyMan(*pwallet, true);
+
+ if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Cannot set a HD seed to a wallet with private keys disabled");
+ }
+
+ LOCK2(pwallet->cs_wallet, spk_man.cs_KeyStore);
+
+ // Do not do anything to non-HD wallets
+ if (!pwallet->CanSupportFeature(FEATURE_HD)) {
+ throw JSONRPCError(RPC_WALLET_ERROR, "Cannot set an HD seed on a non-HD wallet. Use the upgradewallet RPC in order to upgrade a non-HD wallet to HD");
+ }
+
+ EnsureWalletIsUnlocked(*pwallet);
+
+ bool flush_key_pool = true;
+ if (!request.params[0].isNull()) {
+ flush_key_pool = request.params[0].get_bool();
+ }
+
+ CPubKey master_pub_key;
+ if (request.params[1].isNull()) {
+ master_pub_key = spk_man.GenerateNewSeed();
+ } else {
+ CKey key = DecodeSecret(request.params[1].get_str());
+ if (!key.IsValid()) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid private key");
+ }
+
+ if (HaveKey(spk_man, key)) {
+ throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Already have this key (either as an HD seed or as a loose private key)");
+ }
+
+ master_pub_key = spk_man.DeriveNewSeed(key);
+ }
+
+ spk_man.SetHDSeed(master_pub_key);
+ if (flush_key_pool) spk_man.NewKeyPool();
+
+ return NullUniValue;
+},
+ };
+}
+
+static RPCHelpMan upgradewallet()
+{
+ return RPCHelpMan{"upgradewallet",
+ "\nUpgrade the wallet. Upgrades to the latest version if no version number is specified.\n"
+ "New keys may be generated and a new wallet backup will need to be made.",
+ {
+ {"version", RPCArg::Type::NUM, RPCArg::Default{FEATURE_LATEST}, "The version number to upgrade to. Default is the latest wallet version."}
+ },
+ RPCResult{
+ RPCResult::Type::OBJ, "", "",
+ {
+ {RPCResult::Type::STR, "wallet_name", "Name of wallet this operation was performed on"},
+ {RPCResult::Type::NUM, "previous_version", "Version of wallet before this operation"},
+ {RPCResult::Type::NUM, "current_version", "Version of wallet after this operation"},
+ {RPCResult::Type::STR, "result", /*optional=*/true, "Description of result, if no error"},
+ {RPCResult::Type::STR, "error", /*optional=*/true, "Error message (if there is one)"}
+ },
+ },
+ RPCExamples{
+ HelpExampleCli("upgradewallet", "169900")
+ + HelpExampleRpc("upgradewallet", "169900")
+ },
+ [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
+{
+ std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
+ if (!pwallet) return NullUniValue;
+
+ RPCTypeCheck(request.params, {UniValue::VNUM}, true);
+
+ EnsureWalletIsUnlocked(*pwallet);
+
+ int version = 0;
+ if (!request.params[0].isNull()) {
+ version = request.params[0].get_int();
+ }
+ bilingual_str error;
+ const int previous_version{pwallet->GetVersion()};
+ const bool wallet_upgraded{pwallet->UpgradeWallet(version, error)};
+ const int current_version{pwallet->GetVersion()};
+ std::string result;
+
+ if (wallet_upgraded) {
+ if (previous_version == current_version) {
+ result = "Already at latest version. Wallet version unchanged.";
+ } else {
+ result = strprintf("Wallet upgraded successfully from version %i to version %i.", previous_version, current_version);
+ }
+ }
+
+ UniValue obj(UniValue::VOBJ);
+ obj.pushKV("wallet_name", pwallet->GetName());
+ obj.pushKV("previous_version", previous_version);
+ obj.pushKV("current_version", current_version);
+ if (!result.empty()) {
+ obj.pushKV("result", result);
+ } else {
+ CHECK_NONFATAL(!error.empty());
+ obj.pushKV("error", error.original);
+ }
+ return obj;
+},
+ };
+}
+
+// addresses
+RPCHelpMan getaddressinfo();
+RPCHelpMan getnewaddress();
+RPCHelpMan getrawchangeaddress();
+RPCHelpMan setlabel();
+RPCHelpMan listaddressgroupings();
+RPCHelpMan addmultisigaddress();
+RPCHelpMan keypoolrefill();
+RPCHelpMan newkeypool();
+RPCHelpMan getaddressesbylabel();
+RPCHelpMan listlabels();
+#ifdef ENABLE_EXTERNAL_SIGNER
+RPCHelpMan walletdisplayaddress();
+#endif // ENABLE_EXTERNAL_SIGNER
+
+// backup
+RPCHelpMan dumpprivkey();
+RPCHelpMan importprivkey();
+RPCHelpMan importaddress();
+RPCHelpMan importpubkey();
+RPCHelpMan dumpwallet();
+RPCHelpMan importwallet();
+RPCHelpMan importprunedfunds();
+RPCHelpMan removeprunedfunds();
+RPCHelpMan importmulti();
+RPCHelpMan importdescriptors();
+RPCHelpMan listdescriptors();
+RPCHelpMan backupwallet();
+RPCHelpMan restorewallet();
+
+// coins
+RPCHelpMan getreceivedbyaddress();
+RPCHelpMan getreceivedbylabel();
+RPCHelpMan getbalance();
+RPCHelpMan getunconfirmedbalance();
+RPCHelpMan lockunspent();
+RPCHelpMan listlockunspent();
+RPCHelpMan getbalances();
+RPCHelpMan listunspent();
+
+// encryption
+RPCHelpMan walletpassphrase();
+RPCHelpMan walletpassphrasechange();
+RPCHelpMan walletlock();
+RPCHelpMan encryptwallet();
+
+// spend
+RPCHelpMan sendtoaddress();
+RPCHelpMan sendmany();
+RPCHelpMan settxfee();
+RPCHelpMan fundrawtransaction();
+RPCHelpMan bumpfee();
+RPCHelpMan psbtbumpfee();
+RPCHelpMan send();
+RPCHelpMan walletprocesspsbt();
+RPCHelpMan walletcreatefundedpsbt();
+RPCHelpMan signrawtransactionwithwallet();
+
+// signmessage
+RPCHelpMan signmessage();
+
+// transactions
+RPCHelpMan listreceivedbyaddress();
+RPCHelpMan listreceivedbylabel();
+RPCHelpMan listtransactions();
+RPCHelpMan listsinceblock();
+RPCHelpMan gettransaction();
+RPCHelpMan abandontransaction();
+RPCHelpMan rescanblockchain();
+RPCHelpMan abortrescan();
+
+Span<const CRPCCommand> GetWalletRPCCommands()
+{
+// clang-format off
+static const CRPCCommand commands[] =
+{ // category actor (function)
+ // ------------------ ------------------------
+ { "rawtransactions", &fundrawtransaction, },
+ { "wallet", &abandontransaction, },
+ { "wallet", &abortrescan, },
+ { "wallet", &addmultisigaddress, },
+ { "wallet", &backupwallet, },
+ { "wallet", &bumpfee, },
+ { "wallet", &psbtbumpfee, },
+ { "wallet", &createwallet, },
+ { "wallet", &restorewallet, },
+ { "wallet", &dumpprivkey, },
+ { "wallet", &dumpwallet, },
+ { "wallet", &encryptwallet, },
+ { "wallet", &getaddressesbylabel, },
+ { "wallet", &getaddressinfo, },
+ { "wallet", &getbalance, },
+ { "wallet", &getnewaddress, },
+ { "wallet", &getrawchangeaddress, },
+ { "wallet", &getreceivedbyaddress, },
+ { "wallet", &getreceivedbylabel, },
+ { "wallet", &gettransaction, },
+ { "wallet", &getunconfirmedbalance, },
+ { "wallet", &getbalances, },
+ { "wallet", &getwalletinfo, },
+ { "wallet", &importaddress, },
+ { "wallet", &importdescriptors, },
+ { "wallet", &importmulti, },
+ { "wallet", &importprivkey, },
+ { "wallet", &importprunedfunds, },
+ { "wallet", &importpubkey, },
+ { "wallet", &importwallet, },
+ { "wallet", &keypoolrefill, },
+ { "wallet", &listaddressgroupings, },
+ { "wallet", &listdescriptors, },
+ { "wallet", &listlabels, },
+ { "wallet", &listlockunspent, },
+ { "wallet", &listreceivedbyaddress, },
+ { "wallet", &listreceivedbylabel, },
+ { "wallet", &listsinceblock, },
+ { "wallet", &listtransactions, },
+ { "wallet", &listunspent, },
+ { "wallet", &listwalletdir, },
+ { "wallet", &listwallets, },
+ { "wallet", &loadwallet, },
+ { "wallet", &lockunspent, },
+ { "wallet", &newkeypool, },
+ { "wallet", &removeprunedfunds, },
+ { "wallet", &rescanblockchain, },
+ { "wallet", &send, },
+ { "wallet", &sendmany, },
+ { "wallet", &sendtoaddress, },
+ { "wallet", &sethdseed, },
+ { "wallet", &setlabel, },
+ { "wallet", &settxfee, },
+ { "wallet", &setwalletflag, },
+ { "wallet", &signmessage, },
+ { "wallet", &signrawtransactionwithwallet, },
+ { "wallet", &unloadwallet, },
+ { "wallet", &upgradewallet, },
+ { "wallet", &walletcreatefundedpsbt, },
+#ifdef ENABLE_EXTERNAL_SIGNER
+ { "wallet", &walletdisplayaddress, },
+#endif // ENABLE_EXTERNAL_SIGNER
+ { "wallet", &walletlock, },
+ { "wallet", &walletpassphrase, },
+ { "wallet", &walletpassphrasechange, },
+ { "wallet", &walletprocesspsbt, },
+};
+// clang-format on
+ return commands;
+}
+} // namespace wallet
diff --git a/src/wallet/rpc/wallet.h b/src/wallet/rpc/wallet.h
new file mode 100644
index 0000000000..423fc892b2
--- /dev/null
+++ b/src/wallet/rpc/wallet.h
@@ -0,0 +1,16 @@
+// Copyright (c) 2016-2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_WALLET_RPC_WALLET_H
+#define BITCOIN_WALLET_RPC_WALLET_H
+
+#include <span.h>
+
+class CRPCCommand;
+
+namespace wallet {
+Span<const CRPCCommand> GetWalletRPCCommands();
+} // namespace wallet
+
+#endif // BITCOIN_WALLET_RPC_WALLET_H
diff --git a/src/wallet/rpcsigner.cpp b/src/wallet/rpcsigner.cpp
deleted file mode 100644
index 607b778c68..0000000000
--- a/src/wallet/rpcsigner.cpp
+++ /dev/null
@@ -1,111 +0,0 @@
-// Copyright (c) 2018-2021 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#include <chainparamsbase.h>
-#include <key_io.h>
-#include <rpc/server.h>
-#include <rpc/util.h>
-#include <util/strencodings.h>
-#include <wallet/rpcsigner.h>
-#include <wallet/rpcwallet.h>
-#include <wallet/wallet.h>
-
-#ifdef ENABLE_EXTERNAL_SIGNER
-
-static RPCHelpMan enumeratesigners()
-{
- return RPCHelpMan{
- "enumeratesigners",
- "Returns a list of external signers from -signer.",
- {},
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::ARR, "signers", /* optional */ false, "",
- {
- {RPCResult::Type::STR_HEX, "masterkeyfingerprint", "Master key fingerprint"},
- {RPCResult::Type::STR, "name", "Device name"},
- },
- }
- }
- },
- RPCExamples{""},
- [](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue {
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
-
- const std::string command = gArgs.GetArg("-signer", "");
- if (command == "") throw JSONRPCError(RPC_WALLET_ERROR, "Error: restart bitcoind with -signer=<cmd>");
- std::string chain = gArgs.GetChainName();
- UniValue signers_res = UniValue::VARR;
- try {
- std::vector<ExternalSigner> signers;
- ExternalSigner::Enumerate(command, signers, chain);
- for (ExternalSigner signer : signers) {
- UniValue signer_res = UniValue::VOBJ;
- signer_res.pushKV("fingerprint", signer.m_fingerprint);
- signer_res.pushKV("name", signer.m_name);
- signers_res.push_back(signer_res);
- }
- } catch (const ExternalSignerException& e) {
- throw JSONRPCError(RPC_WALLET_ERROR, e.what());
- }
- UniValue result(UniValue::VOBJ);
- result.pushKV("signers", signers_res);
- return result;
- }
- };
-}
-
-static RPCHelpMan signerdisplayaddress()
-{
- return RPCHelpMan{
- "signerdisplayaddress",
- "Display address on an external signer for verification.\n",
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::NO, /* default_val */ "", "bitcoin address to display"},
- },
- RPCResult{RPCResult::Type::NONE,"",""},
- RPCExamples{""},
- [](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue {
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- CTxDestination dest = DecodeDestination(request.params[0].get_str());
-
- // Make sure the destination is valid
- if (!IsValidDestination(dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid address");
- }
-
- if (!pwallet->DisplayAddress(dest)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Failed to display address");
- }
-
- UniValue result(UniValue::VOBJ);
- result.pushKV("address", request.params[0].get_str());
- return result;
- }
- };
-}
-
-Span<const CRPCCommand> GetSignerRPCCommands()
-{
-
-// clang-format off
-static const CRPCCommand commands[] =
-{ // category actor (function)
- // --------------------- ------------------------
- { "signer", &enumeratesigners, },
- { "signer", &signerdisplayaddress, },
-};
-// clang-format on
- return MakeSpan(commands);
-}
-
-
-#endif // ENABLE_EXTERNAL_SIGNER
diff --git a/src/wallet/rpcsigner.h b/src/wallet/rpcsigner.h
deleted file mode 100644
index f3ab83c428..0000000000
--- a/src/wallet/rpcsigner.h
+++ /dev/null
@@ -1,25 +0,0 @@
-// Copyright (c) 2018-2021 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#ifndef BITCOIN_WALLET_RPCSIGNER_H
-#define BITCOIN_WALLET_RPCSIGNER_H
-
-#include <span.h>
-#include <util/system.h>
-#include <vector>
-
-#ifdef ENABLE_EXTERNAL_SIGNER
-
-class CRPCCommand;
-
-namespace interfaces {
-class Chain;
-class Handler;
-}
-
-Span<const CRPCCommand> GetSignerRPCCommands();
-
-#endif // ENABLE_EXTERNAL_SIGNER
-
-#endif //BITCOIN_WALLET_RPCSIGNER_H
diff --git a/src/wallet/rpcwallet.cpp b/src/wallet/rpcwallet.cpp
deleted file mode 100644
index 6d6cdedb2b..0000000000
--- a/src/wallet/rpcwallet.cpp
+++ /dev/null
@@ -1,4651 +0,0 @@
-// Copyright (c) 2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#include <amount.h>
-#include <core_io.h>
-#include <interfaces/chain.h>
-#include <key_io.h>
-#include <node/context.h>
-#include <optional.h>
-#include <outputtype.h>
-#include <policy/feerate.h>
-#include <policy/fees.h>
-#include <policy/policy.h>
-#include <policy/rbf.h>
-#include <rpc/rawtransaction_util.h>
-#include <rpc/server.h>
-#include <rpc/util.h>
-#include <script/descriptor.h>
-#include <script/sign.h>
-#include <util/bip32.h>
-#include <util/fees.h>
-#include <util/message.h> // For MessageSign()
-#include <util/moneystr.h>
-#include <util/ref.h>
-#include <util/string.h>
-#include <util/system.h>
-#include <util/translation.h>
-#include <util/url.h>
-#include <util/vector.h>
-#include <wallet/coincontrol.h>
-#include <wallet/context.h>
-#include <wallet/feebumper.h>
-#include <wallet/load.h>
-#include <wallet/rpcwallet.h>
-#include <wallet/wallet.h>
-#include <wallet/walletdb.h>
-#include <wallet/walletutil.h>
-
-#include <stdint.h>
-
-#include <univalue.h>
-
-
-using interfaces::FoundBlock;
-
-static const std::string WALLET_ENDPOINT_BASE = "/wallet/";
-static const std::string HELP_REQUIRING_PASSPHRASE{"\nRequires wallet passphrase to be set with walletpassphrase call if wallet is encrypted.\n"};
-
-static inline bool GetAvoidReuseFlag(const CWallet* const pwallet, const UniValue& param) {
- bool can_avoid_reuse = pwallet->IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE);
- bool avoid_reuse = param.isNull() ? can_avoid_reuse : param.get_bool();
-
- if (avoid_reuse && !can_avoid_reuse) {
- throw JSONRPCError(RPC_WALLET_ERROR, "wallet does not have the \"avoid reuse\" feature enabled");
- }
-
- return avoid_reuse;
-}
-
-
-/** Used by RPC commands that have an include_watchonly parameter.
- * We default to true for watchonly wallets if include_watchonly isn't
- * explicitly set.
- */
-static bool ParseIncludeWatchonly(const UniValue& include_watchonly, const CWallet& pwallet)
-{
- if (include_watchonly.isNull()) {
- // if include_watchonly isn't explicitly set, then check if we have a watchonly wallet
- return pwallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
- }
-
- // otherwise return whatever include_watchonly was set to
- return include_watchonly.get_bool();
-}
-
-
-/** Checks if a CKey is in the given CWallet compressed or otherwise*/
-bool HaveKey(const SigningProvider& wallet, const CKey& key)
-{
- CKey key2;
- key2.Set(key.begin(), key.end(), !key.IsCompressed());
- return wallet.HaveKey(key.GetPubKey().GetID()) || wallet.HaveKey(key2.GetPubKey().GetID());
-}
-
-bool GetWalletNameFromJSONRPCRequest(const JSONRPCRequest& request, std::string& wallet_name)
-{
- if (URL_DECODE && request.URI.substr(0, WALLET_ENDPOINT_BASE.size()) == WALLET_ENDPOINT_BASE) {
- // wallet endpoint was used
- wallet_name = URL_DECODE(request.URI.substr(WALLET_ENDPOINT_BASE.size()));
- return true;
- }
- return false;
-}
-
-std::shared_ptr<CWallet> GetWalletForJSONRPCRequest(const JSONRPCRequest& request)
-{
- CHECK_NONFATAL(!request.fHelp);
- std::string wallet_name;
- if (GetWalletNameFromJSONRPCRequest(request, wallet_name)) {
- std::shared_ptr<CWallet> pwallet = GetWallet(wallet_name);
- if (!pwallet) throw JSONRPCError(RPC_WALLET_NOT_FOUND, "Requested wallet does not exist or is not loaded");
- return pwallet;
- }
-
- std::vector<std::shared_ptr<CWallet>> wallets = GetWallets();
- if (wallets.size() == 1) {
- return wallets[0];
- }
-
- if (wallets.empty()) {
- throw JSONRPCError(
- RPC_WALLET_NOT_FOUND, "No wallet is loaded. Load a wallet using loadwallet or create a new one with createwallet. (Note: A default wallet is no longer automatically created)");
- }
- throw JSONRPCError(RPC_WALLET_NOT_SPECIFIED,
- "Wallet file not specified (must request wallet RPC through /wallet/<filename> uri-path).");
-}
-
-void EnsureWalletIsUnlocked(const CWallet* pwallet)
-{
- if (pwallet->IsLocked()) {
- throw JSONRPCError(RPC_WALLET_UNLOCK_NEEDED, "Error: Please enter the wallet passphrase with walletpassphrase first.");
- }
-}
-
-WalletContext& EnsureWalletContext(const util::Ref& context)
-{
- if (!context.Has<WalletContext>()) {
- throw JSONRPCError(RPC_INTERNAL_ERROR, "Wallet context not found");
- }
- return context.Get<WalletContext>();
-}
-
-// also_create should only be set to true only when the RPC is expected to add things to a blank wallet and make it no longer blank
-LegacyScriptPubKeyMan& EnsureLegacyScriptPubKeyMan(CWallet& wallet, bool also_create)
-{
- LegacyScriptPubKeyMan* spk_man = wallet.GetLegacyScriptPubKeyMan();
- if (!spk_man && also_create) {
- spk_man = wallet.GetOrCreateLegacyScriptPubKeyMan();
- }
- if (!spk_man) {
- throw JSONRPCError(RPC_WALLET_ERROR, "This type of wallet does not support this command");
- }
- return *spk_man;
-}
-
-static void WalletTxToJSON(interfaces::Chain& chain, const CWalletTx& wtx, UniValue& entry)
-{
- int confirms = wtx.GetDepthInMainChain();
- entry.pushKV("confirmations", confirms);
- if (wtx.IsCoinBase())
- entry.pushKV("generated", true);
- if (confirms > 0)
- {
- entry.pushKV("blockhash", wtx.m_confirm.hashBlock.GetHex());
- entry.pushKV("blockheight", wtx.m_confirm.block_height);
- entry.pushKV("blockindex", wtx.m_confirm.nIndex);
- int64_t block_time;
- CHECK_NONFATAL(chain.findBlock(wtx.m_confirm.hashBlock, FoundBlock().time(block_time)));
- entry.pushKV("blocktime", block_time);
- } else {
- entry.pushKV("trusted", wtx.IsTrusted());
- }
- uint256 hash = wtx.GetHash();
- entry.pushKV("txid", hash.GetHex());
- UniValue conflicts(UniValue::VARR);
- for (const uint256& conflict : wtx.GetConflicts())
- conflicts.push_back(conflict.GetHex());
- entry.pushKV("walletconflicts", conflicts);
- entry.pushKV("time", wtx.GetTxTime());
- entry.pushKV("timereceived", (int64_t)wtx.nTimeReceived);
-
- // Add opt-in RBF status
- std::string rbfStatus = "no";
- if (confirms <= 0) {
- RBFTransactionState rbfState = chain.isRBFOptIn(*wtx.tx);
- if (rbfState == RBFTransactionState::UNKNOWN)
- rbfStatus = "unknown";
- else if (rbfState == RBFTransactionState::REPLACEABLE_BIP125)
- rbfStatus = "yes";
- }
- entry.pushKV("bip125-replaceable", rbfStatus);
-
- for (const std::pair<const std::string, std::string>& item : wtx.mapValue)
- entry.pushKV(item.first, item.second);
-}
-
-static std::string LabelFromValue(const UniValue& value)
-{
- std::string label = value.get_str();
- if (label == "*")
- throw JSONRPCError(RPC_WALLET_INVALID_LABEL_NAME, "Invalid label name");
- return label;
-}
-
-/**
- * Update coin control with fee estimation based on the given parameters
- *
- * @param[in] wallet Wallet reference
- * @param[in,out] cc Coin control to be updated
- * @param[in] conf_target UniValue integer; confirmation target in blocks, values between 1 and 1008 are valid per policy/fees.h;
- * @param[in] estimate_mode UniValue string; fee estimation mode, valid values are "unset", "economical" or "conservative";
- * @param[in] fee_rate UniValue real; fee rate in sat/vB;
- * if present, both conf_target and estimate_mode must either be null, or "unset"
- * @param[in] override_min_fee bool; whether to set fOverrideFeeRate to true to disable minimum fee rate checks and instead
- * verify only that fee_rate is greater than 0
- * @throws a JSONRPCError if conf_target, estimate_mode, or fee_rate contain invalid values or are in conflict
- */
-static void SetFeeEstimateMode(const CWallet& wallet, CCoinControl& cc, const UniValue& conf_target, const UniValue& estimate_mode, const UniValue& fee_rate, bool override_min_fee)
-{
- if (!fee_rate.isNull()) {
- if (!conf_target.isNull()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both conf_target and fee_rate. Please provide either a confirmation target in blocks for automatic fee estimation, or an explicit fee rate.");
- }
- if (!estimate_mode.isNull() && estimate_mode.get_str() != "unset") {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both estimate_mode and fee_rate");
- }
- cc.m_feerate = CFeeRate(AmountFromValue(fee_rate), COIN);
- if (override_min_fee) cc.fOverrideFeeRate = true;
- // Default RBF to true for explicit fee_rate, if unset.
- if (cc.m_signal_bip125_rbf == nullopt) cc.m_signal_bip125_rbf = true;
- return;
- }
- if (!estimate_mode.isNull() && !FeeModeFromString(estimate_mode.get_str(), cc.m_fee_mode)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, InvalidEstimateModeErrorMessage());
- }
- if (!conf_target.isNull()) {
- cc.m_confirm_target = ParseConfirmTarget(conf_target, wallet.chain().estimateMaxBlocks());
- }
-}
-
-static RPCHelpMan getnewaddress()
-{
- return RPCHelpMan{"getnewaddress",
- "\nReturns a new Bitcoin address for receiving payments.\n"
- "If 'label' is specified, it is added to the address book \n"
- "so payments received with the address will be associated with 'label'.\n",
- {
- {"label", RPCArg::Type::STR, /* default */ "\"\"", "The label name for the address to be linked to. It can also be set to the empty string \"\" to represent the default label. The label does not need to exist, it will be created if there is no label by the given name."},
- {"address_type", RPCArg::Type::STR, /* default */ "set by -addresstype", "The address type to use. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
- },
- RPCResult{
- RPCResult::Type::STR, "address", "The new bitcoin address"
- },
- RPCExamples{
- HelpExampleCli("getnewaddress", "")
- + HelpExampleRpc("getnewaddress", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- if (!pwallet->CanGetAddresses()) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Error: This wallet has no available keys");
- }
-
- // Parse the label first so we don't generate a key if there's an error
- std::string label;
- if (!request.params[0].isNull())
- label = LabelFromValue(request.params[0]);
-
- OutputType output_type = pwallet->m_default_address_type;
- if (!request.params[1].isNull()) {
- if (!ParseOutputType(request.params[1].get_str(), output_type)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown address type '%s'", request.params[1].get_str()));
- }
- }
-
- CTxDestination dest;
- std::string error;
- if (!pwallet->GetNewDestination(output_type, label, dest, error)) {
- throw JSONRPCError(RPC_WALLET_KEYPOOL_RAN_OUT, error);
- }
-
- return EncodeDestination(dest);
-},
- };
-}
-
-static RPCHelpMan getrawchangeaddress()
-{
- return RPCHelpMan{"getrawchangeaddress",
- "\nReturns a new Bitcoin address, for receiving change.\n"
- "This is for use with raw transactions, NOT normal use.\n",
- {
- {"address_type", RPCArg::Type::STR, /* default */ "set by -changetype", "The address type to use. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
- },
- RPCResult{
- RPCResult::Type::STR, "address", "The address"
- },
- RPCExamples{
- HelpExampleCli("getrawchangeaddress", "")
- + HelpExampleRpc("getrawchangeaddress", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- if (!pwallet->CanGetAddresses(true)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Error: This wallet has no available keys");
- }
-
- OutputType output_type = pwallet->m_default_change_type.value_or(pwallet->m_default_address_type);
- if (!request.params[0].isNull()) {
- if (!ParseOutputType(request.params[0].get_str(), output_type)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown address type '%s'", request.params[0].get_str()));
- }
- }
-
- CTxDestination dest;
- std::string error;
- if (!pwallet->GetNewChangeDestination(output_type, dest, error)) {
- throw JSONRPCError(RPC_WALLET_KEYPOOL_RAN_OUT, error);
- }
- return EncodeDestination(dest);
-},
- };
-}
-
-
-static RPCHelpMan setlabel()
-{
- return RPCHelpMan{"setlabel",
- "\nSets the label associated with the given address.\n",
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to be associated with a label."},
- {"label", RPCArg::Type::STR, RPCArg::Optional::NO, "The label to assign to the address."},
- },
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- HelpExampleCli("setlabel", "\"" + EXAMPLE_ADDRESS[0] + "\" \"tabby\"")
- + HelpExampleRpc("setlabel", "\"" + EXAMPLE_ADDRESS[0] + "\", \"tabby\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- CTxDestination dest = DecodeDestination(request.params[0].get_str());
- if (!IsValidDestination(dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid Bitcoin address");
- }
-
- std::string label = LabelFromValue(request.params[1]);
-
- if (pwallet->IsMine(dest)) {
- pwallet->SetAddressBook(dest, label, "receive");
- } else {
- pwallet->SetAddressBook(dest, label, "send");
- }
-
- return NullUniValue;
-},
- };
-}
-
-void ParseRecipients(const UniValue& address_amounts, const UniValue& subtract_fee_outputs, std::vector<CRecipient> &recipients) {
- std::set<CTxDestination> destinations;
- int i = 0;
- for (const std::string& address: address_amounts.getKeys()) {
- CTxDestination dest = DecodeDestination(address);
- if (!IsValidDestination(dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, std::string("Invalid Bitcoin address: ") + address);
- }
-
- if (destinations.count(dest)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, std::string("Invalid parameter, duplicated address: ") + address);
- }
- destinations.insert(dest);
-
- CScript script_pub_key = GetScriptForDestination(dest);
- CAmount amount = AmountFromValue(address_amounts[i++]);
-
- bool subtract_fee = false;
- for (unsigned int idx = 0; idx < subtract_fee_outputs.size(); idx++) {
- const UniValue& addr = subtract_fee_outputs[idx];
- if (addr.get_str() == address) {
- subtract_fee = true;
- }
- }
-
- CRecipient recipient = {script_pub_key, amount, subtract_fee};
- recipients.push_back(recipient);
- }
-}
-
-UniValue SendMoney(CWallet* const pwallet, const CCoinControl &coin_control, std::vector<CRecipient> &recipients, mapValue_t map_value, bool verbose)
-{
- EnsureWalletIsUnlocked(pwallet);
-
- // This function is only used by sendtoaddress and sendmany.
- // This should always try to sign, if we don't have private keys, don't try to do anything here.
- if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Error: Private keys are disabled for this wallet");
- }
-
- // Shuffle recipient list
- std::shuffle(recipients.begin(), recipients.end(), FastRandomContext());
-
- // Send
- CAmount nFeeRequired = 0;
- int nChangePosRet = -1;
- bilingual_str error;
- CTransactionRef tx;
- FeeCalculation fee_calc_out;
- const bool fCreated = pwallet->CreateTransaction(recipients, tx, nFeeRequired, nChangePosRet, error, coin_control, fee_calc_out, true);
- if (!fCreated) {
- throw JSONRPCError(RPC_WALLET_INSUFFICIENT_FUNDS, error.original);
- }
- pwallet->CommitTransaction(tx, std::move(map_value), {} /* orderForm */);
- if (verbose) {
- UniValue entry(UniValue::VOBJ);
- entry.pushKV("txid", tx->GetHash().GetHex());
- entry.pushKV("fee_reason", StringForFeeReason(fee_calc_out.reason));
- return entry;
- }
- return tx->GetHash().GetHex();
-}
-
-static RPCHelpMan sendtoaddress()
-{
- return RPCHelpMan{"sendtoaddress",
- "\nSend an amount to a given address." +
- HELP_REQUIRING_PASSPHRASE,
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to send to."},
- {"amount", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "The amount in " + CURRENCY_UNIT + " to send. eg 0.1"},
- {"comment", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A comment used to store what the transaction is for.\n"
- "This is not part of the transaction, just kept in your wallet."},
- {"comment_to", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A comment to store the name of the person or organization\n"
- "to which you're sending the transaction. This is not part of the \n"
- "transaction, just kept in your wallet."},
- {"subtractfeefromamount", RPCArg::Type::BOOL, /* default */ "false", "The fee will be deducted from the amount being sent.\n"
- "The recipient will receive less bitcoins than you enter in the amount field."},
- {"replaceable", RPCArg::Type::BOOL, /* default */ "wallet default", "Allow this transaction to be replaced by a transaction with higher fees via BIP 125"},
- {"conf_target", RPCArg::Type::NUM, /* default */ "wallet -txconfirmtarget", "Confirmation target in blocks"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "unset", std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
- " \"" + FeeModes("\"\n\"") + "\""},
- {"avoid_reuse", RPCArg::Type::BOOL, /* default */ "true", "(only available if avoid_reuse wallet flag is set) Avoid spending from dirty addresses; addresses are considered\n"
- "dirty if they have previously been used in a transaction."},
- {"fee_rate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
- {"verbose", RPCArg::Type::BOOL, /* default */ "false", "If true, return extra information about the transaction."},
- },
- {
- RPCResult{"if verbose is not set or set to false",
- RPCResult::Type::STR_HEX, "txid", "The transaction id."
- },
- RPCResult{"if verbose is set to true",
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "txid", "The transaction id."},
- {RPCResult::Type::STR, "fee reason", "The transaction fee reason."}
- },
- },
- },
- RPCExamples{
- "\nSend 0.1 BTC\n"
- + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0.1") +
- "\nSend 0.1 BTC with a confirmation target of 6 blocks in economical fee estimate mode using positional arguments\n"
- + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0.1 \"donation\" \"sean's outpost\" false true 6 economical") +
- "\nSend 0.1 BTC with a fee rate of 1.1 " + CURRENCY_ATOM + "/vB, subtract fee from amount, BIP125-replaceable, using positional arguments\n"
- + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0.1 \"drinks\" \"room77\" true true null \"unset\" null 1.1") +
- "\nSend 0.2 BTC with a confirmation target of 6 blocks in economical fee estimate mode using named arguments\n"
- + HelpExampleCli("-named sendtoaddress", "address=\"" + EXAMPLE_ADDRESS[0] + "\" amount=0.2 conf_target=6 estimate_mode=\"economical\"") +
- "\nSend 0.5 BTC with a fee rate of 25 " + CURRENCY_ATOM + "/vB using named arguments\n"
- + HelpExampleCli("-named sendtoaddress", "address=\"" + EXAMPLE_ADDRESS[0] + "\" amount=0.5 fee_rate=25")
- + HelpExampleCli("-named sendtoaddress", "address=\"" + EXAMPLE_ADDRESS[0] + "\" amount=0.5 fee_rate=25 subtractfeefromamount=false replaceable=true avoid_reuse=true comment=\"2 pizzas\" comment_to=\"jeremy\" verbose=true")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- // Wallet comments
- mapValue_t mapValue;
- if (!request.params[2].isNull() && !request.params[2].get_str().empty())
- mapValue["comment"] = request.params[2].get_str();
- if (!request.params[3].isNull() && !request.params[3].get_str().empty())
- mapValue["to"] = request.params[3].get_str();
-
- bool fSubtractFeeFromAmount = false;
- if (!request.params[4].isNull()) {
- fSubtractFeeFromAmount = request.params[4].get_bool();
- }
-
- CCoinControl coin_control;
- if (!request.params[5].isNull()) {
- coin_control.m_signal_bip125_rbf = request.params[5].get_bool();
- }
-
- coin_control.m_avoid_address_reuse = GetAvoidReuseFlag(pwallet, request.params[8]);
- // We also enable partial spend avoidance if reuse avoidance is set.
- coin_control.m_avoid_partial_spends |= coin_control.m_avoid_address_reuse;
-
- SetFeeEstimateMode(*pwallet, coin_control, /* conf_target */ request.params[6], /* estimate_mode */ request.params[7], /* fee_rate */ request.params[9], /* override_min_fee */ false);
-
- EnsureWalletIsUnlocked(pwallet);
-
- UniValue address_amounts(UniValue::VOBJ);
- const std::string address = request.params[0].get_str();
- address_amounts.pushKV(address, request.params[1]);
- UniValue subtractFeeFromAmount(UniValue::VARR);
- if (fSubtractFeeFromAmount) {
- subtractFeeFromAmount.push_back(address);
- }
-
- std::vector<CRecipient> recipients;
- ParseRecipients(address_amounts, subtractFeeFromAmount, recipients);
- const bool verbose{request.params[10].isNull() ? false : request.params[10].get_bool()};
-
- return SendMoney(pwallet, coin_control, recipients, mapValue, verbose);
-},
- };
-}
-
-static RPCHelpMan listaddressgroupings()
-{
- return RPCHelpMan{"listaddressgroupings",
- "\nLists groups of addresses which have had their common ownership\n"
- "made public by common use as inputs or as the resulting change\n"
- "in past transactions\n",
- {},
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::STR, "address", "The bitcoin address"},
- {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT},
- {RPCResult::Type::STR, "label", /* optional */ true, "The label"},
- }},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("listaddressgroupings", "")
- + HelpExampleRpc("listaddressgroupings", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- UniValue jsonGroupings(UniValue::VARR);
- std::map<CTxDestination, CAmount> balances = pwallet->GetAddressBalances();
- for (const std::set<CTxDestination>& grouping : pwallet->GetAddressGroupings()) {
- UniValue jsonGrouping(UniValue::VARR);
- for (const CTxDestination& address : grouping)
- {
- UniValue addressInfo(UniValue::VARR);
- addressInfo.push_back(EncodeDestination(address));
- addressInfo.push_back(ValueFromAmount(balances[address]));
- {
- const auto* address_book_entry = pwallet->FindAddressBookEntry(address);
- if (address_book_entry) {
- addressInfo.push_back(address_book_entry->GetLabel());
- }
- }
- jsonGrouping.push_back(addressInfo);
- }
- jsonGroupings.push_back(jsonGrouping);
- }
- return jsonGroupings;
-},
- };
-}
-
-static RPCHelpMan signmessage()
-{
- return RPCHelpMan{"signmessage",
- "\nSign a message with the private key of an address" +
- HELP_REQUIRING_PASSPHRASE,
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address to use for the private key."},
- {"message", RPCArg::Type::STR, RPCArg::Optional::NO, "The message to create a signature of."},
- },
- RPCResult{
- RPCResult::Type::STR, "signature", "The signature of the message encoded in base 64"
- },
- RPCExamples{
- "\nUnlock the wallet for 30 seconds\n"
- + HelpExampleCli("walletpassphrase", "\"mypassphrase\" 30") +
- "\nCreate the signature\n"
- + HelpExampleCli("signmessage", "\"1D1ZrZNe3JUo7ZycKEYQQiQAWd9y54F4XX\" \"my message\"") +
- "\nVerify the signature\n"
- + HelpExampleCli("verifymessage", "\"1D1ZrZNe3JUo7ZycKEYQQiQAWd9y54F4XX\" \"signature\" \"my message\"") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("signmessage", "\"1D1ZrZNe3JUo7ZycKEYQQiQAWd9y54F4XX\", \"my message\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- EnsureWalletIsUnlocked(pwallet);
-
- std::string strAddress = request.params[0].get_str();
- std::string strMessage = request.params[1].get_str();
-
- CTxDestination dest = DecodeDestination(strAddress);
- if (!IsValidDestination(dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid address");
- }
-
- const PKHash* pkhash = std::get_if<PKHash>(&dest);
- if (!pkhash) {
- throw JSONRPCError(RPC_TYPE_ERROR, "Address does not refer to key");
- }
-
- std::string signature;
- SigningResult err = pwallet->SignMessage(strMessage, *pkhash, signature);
- if (err == SigningResult::SIGNING_FAILED) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, SigningResultString(err));
- } else if (err != SigningResult::OK){
- throw JSONRPCError(RPC_WALLET_ERROR, SigningResultString(err));
- }
-
- return signature;
-},
- };
-}
-
-static CAmount GetReceived(const CWallet& wallet, const UniValue& params, bool by_label) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
-{
- std::set<CTxDestination> address_set;
-
- if (by_label) {
- // Get the set of addresses assigned to label
- std::string label = LabelFromValue(params[0]);
- address_set = wallet.GetLabelAddresses(label);
- } else {
- // Get the address
- CTxDestination dest = DecodeDestination(params[0].get_str());
- if (!IsValidDestination(dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid Bitcoin address");
- }
- CScript script_pub_key = GetScriptForDestination(dest);
- if (!wallet.IsMine(script_pub_key)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Address not found in wallet");
- }
- address_set.insert(dest);
- }
-
- // Minimum confirmations
- int min_depth = 1;
- if (!params[1].isNull())
- min_depth = params[1].get_int();
-
- // Tally
- CAmount amount = 0;
- for (const std::pair<const uint256, CWalletTx>& wtx_pair : wallet.mapWallet) {
- const CWalletTx& wtx = wtx_pair.second;
- if (wtx.IsCoinBase() || !wallet.chain().checkFinalTx(*wtx.tx) || wtx.GetDepthInMainChain() < min_depth) {
- continue;
- }
-
- for (const CTxOut& txout : wtx.tx->vout) {
- CTxDestination address;
- if (ExtractDestination(txout.scriptPubKey, address) && wallet.IsMine(address) && address_set.count(address)) {
- amount += txout.nValue;
- }
- }
- }
-
- return amount;
-}
-
-
-static RPCHelpMan getreceivedbyaddress()
-{
- return RPCHelpMan{"getreceivedbyaddress",
- "\nReturns the total amount received by the given address in transactions with at least minconf confirmations.\n",
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address for transactions."},
- {"minconf", RPCArg::Type::NUM, /* default */ "1", "Only include transactions confirmed at least this many times."},
- },
- RPCResult{
- RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received at this address."
- },
- RPCExamples{
- "\nThe amount from transactions with at least 1 confirmation\n"
- + HelpExampleCli("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\"") +
- "\nThe amount including unconfirmed transactions, zero confirmations\n"
- + HelpExampleCli("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 0") +
- "\nThe amount with at least 6 confirmations\n"
- + HelpExampleCli("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 6") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("getreceivedbyaddress", "\"" + EXAMPLE_ADDRESS[0] + "\", 6")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- return ValueFromAmount(GetReceived(*pwallet, request.params, /* by_label */ false));
-},
- };
-}
-
-
-static RPCHelpMan getreceivedbylabel()
-{
- return RPCHelpMan{"getreceivedbylabel",
- "\nReturns the total amount received by addresses with <label> in transactions with at least [minconf] confirmations.\n",
- {
- {"label", RPCArg::Type::STR, RPCArg::Optional::NO, "The selected label, may be the default label using \"\"."},
- {"minconf", RPCArg::Type::NUM, /* default */ "1", "Only include transactions confirmed at least this many times."},
- },
- RPCResult{
- RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received for this label."
- },
- RPCExamples{
- "\nAmount received by the default label with at least 1 confirmation\n"
- + HelpExampleCli("getreceivedbylabel", "\"\"") +
- "\nAmount received at the tabby label including unconfirmed amounts with zero confirmations\n"
- + HelpExampleCli("getreceivedbylabel", "\"tabby\" 0") +
- "\nThe amount with at least 6 confirmations\n"
- + HelpExampleCli("getreceivedbylabel", "\"tabby\" 6") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("getreceivedbylabel", "\"tabby\", 6")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- return ValueFromAmount(GetReceived(*pwallet, request.params, /* by_label */ true));
-},
- };
-}
-
-
-static RPCHelpMan getbalance()
-{
- return RPCHelpMan{"getbalance",
- "\nReturns the total available balance.\n"
- "The available balance is what the wallet considers currently spendable, and is\n"
- "thus affected by options which limit spendability such as -spendzeroconfchange.\n",
- {
- {"dummy", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "Remains for backward compatibility. Must be excluded or set to \"*\"."},
- {"minconf", RPCArg::Type::NUM, /* default */ "0", "Only include transactions confirmed at least this many times."},
- {"include_watchonly", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Also include balance in watch-only addresses (see 'importaddress')"},
- {"avoid_reuse", RPCArg::Type::BOOL, /* default */ "true", "(only available if avoid_reuse wallet flag is set) Do not include balance in dirty outputs; addresses are considered dirty if they have previously been used in a transaction."},
- },
- RPCResult{
- RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received for this wallet."
- },
- RPCExamples{
- "\nThe total amount in the wallet with 0 or more confirmations\n"
- + HelpExampleCli("getbalance", "") +
- "\nThe total amount in the wallet with at least 6 confirmations\n"
- + HelpExampleCli("getbalance", "\"*\" 6") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("getbalance", "\"*\", 6")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- const UniValue& dummy_value = request.params[0];
- if (!dummy_value.isNull() && dummy_value.get_str() != "*") {
- throw JSONRPCError(RPC_METHOD_DEPRECATED, "dummy first argument must be excluded or set to \"*\".");
- }
-
- int min_depth = 0;
- if (!request.params[1].isNull()) {
- min_depth = request.params[1].get_int();
- }
-
- bool include_watchonly = ParseIncludeWatchonly(request.params[2], *pwallet);
-
- bool avoid_reuse = GetAvoidReuseFlag(pwallet, request.params[3]);
-
- const auto bal = pwallet->GetBalance(min_depth, avoid_reuse);
-
- return ValueFromAmount(bal.m_mine_trusted + (include_watchonly ? bal.m_watchonly_trusted : 0));
-},
- };
-}
-
-static RPCHelpMan getunconfirmedbalance()
-{
- return RPCHelpMan{"getunconfirmedbalance",
- "DEPRECATED\nIdentical to getbalances().mine.untrusted_pending\n",
- {},
- RPCResult{RPCResult::Type::NUM, "", "The balance"},
- RPCExamples{""},
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- return ValueFromAmount(pwallet->GetBalance().m_mine_untrusted_pending);
-},
- };
-}
-
-
-static RPCHelpMan sendmany()
-{
- return RPCHelpMan{"sendmany",
- "\nSend multiple times. Amounts are double-precision floating point numbers." +
- HELP_REQUIRING_PASSPHRASE,
- {
- {"dummy", RPCArg::Type::STR, RPCArg::Optional::NO, "Must be set to \"\" for backwards compatibility.", "\"\""},
- {"amounts", RPCArg::Type::OBJ, RPCArg::Optional::NO, "The addresses and amounts",
- {
- {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "The bitcoin address is the key, the numeric amount (can be string) in " + CURRENCY_UNIT + " is the value"},
- },
- },
- {"minconf", RPCArg::Type::NUM, RPCArg::Optional::OMITTED_NAMED_ARG, "Ignored dummy value"},
- {"comment", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A comment"},
- {"subtractfeefrom", RPCArg::Type::ARR, RPCArg::Optional::OMITTED_NAMED_ARG, "The addresses.\n"
- "The fee will be equally deducted from the amount of each selected address.\n"
- "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
- "If no addresses are specified here, the sender pays the fee.",
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "Subtract fee from this address"},
- },
- },
- {"replaceable", RPCArg::Type::BOOL, /* default */ "wallet default", "Allow this transaction to be replaced by a transaction with higher fees via BIP 125"},
- {"conf_target", RPCArg::Type::NUM, /* default */ "wallet -txconfirmtarget", "Confirmation target in blocks"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "unset", std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
- " \"" + FeeModes("\"\n\"") + "\""},
- {"fee_rate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
- {"verbose", RPCArg::Type::BOOL, /* default */ "false", "If true, return extra infomration about the transaction."},
- },
- {
- RPCResult{"if verbose is not set or set to false",
- RPCResult::Type::STR_HEX, "txid", "The transaction id for the send. Only 1 transaction is created regardless of\n"
- "the number of addresses."
- },
- RPCResult{"if verbose is set to true",
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "txid", "The transaction id for the send. Only 1 transaction is created regardless of\n"
- "the number of addresses."},
- {RPCResult::Type::STR, "fee reason", "The transaction fee reason."}
- },
- },
- },
- RPCExamples{
- "\nSend two amounts to two different addresses:\n"
- + HelpExampleCli("sendmany", "\"\" \"{\\\"" + EXAMPLE_ADDRESS[0] + "\\\":0.01,\\\"" + EXAMPLE_ADDRESS[1] + "\\\":0.02}\"") +
- "\nSend two amounts to two different addresses setting the confirmation and comment:\n"
- + HelpExampleCli("sendmany", "\"\" \"{\\\"" + EXAMPLE_ADDRESS[0] + "\\\":0.01,\\\"" + EXAMPLE_ADDRESS[1] + "\\\":0.02}\" 6 \"testing\"") +
- "\nSend two amounts to two different addresses, subtract fee from amount:\n"
- + HelpExampleCli("sendmany", "\"\" \"{\\\"" + EXAMPLE_ADDRESS[0] + "\\\":0.01,\\\"" + EXAMPLE_ADDRESS[1] + "\\\":0.02}\" 1 \"\" \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("sendmany", "\"\", {\"" + EXAMPLE_ADDRESS[0] + "\":0.01,\"" + EXAMPLE_ADDRESS[1] + "\":0.02}, 6, \"testing\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- if (!request.params[0].isNull() && !request.params[0].get_str().empty()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Dummy value must be set to \"\"");
- }
- UniValue sendTo = request.params[1].get_obj();
-
- mapValue_t mapValue;
- if (!request.params[3].isNull() && !request.params[3].get_str().empty())
- mapValue["comment"] = request.params[3].get_str();
-
- UniValue subtractFeeFromAmount(UniValue::VARR);
- if (!request.params[4].isNull())
- subtractFeeFromAmount = request.params[4].get_array();
-
- CCoinControl coin_control;
- if (!request.params[5].isNull()) {
- coin_control.m_signal_bip125_rbf = request.params[5].get_bool();
- }
-
- SetFeeEstimateMode(*pwallet, coin_control, /* conf_target */ request.params[6], /* estimate_mode */ request.params[7], /* fee_rate */ request.params[8], /* override_min_fee */ false);
-
- std::vector<CRecipient> recipients;
- ParseRecipients(sendTo, subtractFeeFromAmount, recipients);
- const bool verbose{request.params[9].isNull() ? false : request.params[9].get_bool()};
-
- return SendMoney(pwallet, coin_control, recipients, std::move(mapValue), verbose);
-},
- };
-}
-
-
-static RPCHelpMan addmultisigaddress()
-{
- return RPCHelpMan{"addmultisigaddress",
- "\nAdd an nrequired-to-sign multisignature address to the wallet. Requires a new wallet backup.\n"
- "Each key is a Bitcoin address or hex-encoded public key.\n"
- "This functionality is only intended for use with non-watchonly addresses.\n"
- "See `importaddress` for watchonly p2sh address support.\n"
- "If 'label' is specified, assign address to that label.\n",
- {
- {"nrequired", RPCArg::Type::NUM, RPCArg::Optional::NO, "The number of required signatures out of the n keys or addresses."},
- {"keys", RPCArg::Type::ARR, RPCArg::Optional::NO, "The bitcoin addresses or hex-encoded public keys",
- {
- {"key", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "bitcoin address or hex-encoded public key"},
- },
- },
- {"label", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "A label to assign the addresses to."},
- {"address_type", RPCArg::Type::STR, /* default */ "set by -addresstype", "The address type to use. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "address", "The value of the new multisig address"},
- {RPCResult::Type::STR_HEX, "redeemScript", "The string value of the hex-encoded redemption script"},
- {RPCResult::Type::STR, "descriptor", "The descriptor for this multisig"},
- }
- },
- RPCExamples{
- "\nAdd a multisig address from 2 addresses\n"
- + HelpExampleCli("addmultisigaddress", "2 \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("addmultisigaddress", "2, \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LegacyScriptPubKeyMan& spk_man = EnsureLegacyScriptPubKeyMan(*pwallet);
-
- LOCK2(pwallet->cs_wallet, spk_man.cs_KeyStore);
-
- std::string label;
- if (!request.params[2].isNull())
- label = LabelFromValue(request.params[2]);
-
- int required = request.params[0].get_int();
-
- // Get the public keys
- const UniValue& keys_or_addrs = request.params[1].get_array();
- std::vector<CPubKey> pubkeys;
- for (unsigned int i = 0; i < keys_or_addrs.size(); ++i) {
- if (IsHex(keys_or_addrs[i].get_str()) && (keys_or_addrs[i].get_str().length() == 66 || keys_or_addrs[i].get_str().length() == 130)) {
- pubkeys.push_back(HexToPubKey(keys_or_addrs[i].get_str()));
- } else {
- pubkeys.push_back(AddrToPubKey(spk_man, keys_or_addrs[i].get_str()));
- }
- }
-
- OutputType output_type = pwallet->m_default_address_type;
- if (!request.params[3].isNull()) {
- if (!ParseOutputType(request.params[3].get_str(), output_type)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown address type '%s'", request.params[3].get_str()));
- }
- }
-
- // Construct using pay-to-script-hash:
- CScript inner;
- CTxDestination dest = AddAndGetMultisigDestination(required, pubkeys, output_type, spk_man, inner);
- pwallet->SetAddressBook(dest, label, "send");
-
- // Make the descriptor
- std::unique_ptr<Descriptor> descriptor = InferDescriptor(GetScriptForDestination(dest), spk_man);
-
- UniValue result(UniValue::VOBJ);
- result.pushKV("address", EncodeDestination(dest));
- result.pushKV("redeemScript", HexStr(inner));
- result.pushKV("descriptor", descriptor->ToString());
- return result;
-},
- };
-}
-
-struct tallyitem
-{
- CAmount nAmount{0};
- int nConf{std::numeric_limits<int>::max()};
- std::vector<uint256> txids;
- bool fIsWatchonly{false};
- tallyitem()
- {
- }
-};
-
-static UniValue ListReceived(const CWallet* const pwallet, const UniValue& params, bool by_label) EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)
-{
- // Minimum confirmations
- int nMinDepth = 1;
- if (!params[0].isNull())
- nMinDepth = params[0].get_int();
-
- // Whether to include empty labels
- bool fIncludeEmpty = false;
- if (!params[1].isNull())
- fIncludeEmpty = params[1].get_bool();
-
- isminefilter filter = ISMINE_SPENDABLE;
-
- if (ParseIncludeWatchonly(params[2], *pwallet)) {
- filter |= ISMINE_WATCH_ONLY;
- }
-
- bool has_filtered_address = false;
- CTxDestination filtered_address = CNoDestination();
- if (!by_label && params.size() > 3) {
- if (!IsValidDestinationString(params[3].get_str())) {
- throw JSONRPCError(RPC_WALLET_ERROR, "address_filter parameter was invalid");
- }
- filtered_address = DecodeDestination(params[3].get_str());
- has_filtered_address = true;
- }
-
- // Tally
- std::map<CTxDestination, tallyitem> mapTally;
- for (const std::pair<const uint256, CWalletTx>& pairWtx : pwallet->mapWallet) {
- const CWalletTx& wtx = pairWtx.second;
-
- if (wtx.IsCoinBase() || !pwallet->chain().checkFinalTx(*wtx.tx)) {
- continue;
- }
-
- int nDepth = wtx.GetDepthInMainChain();
- if (nDepth < nMinDepth)
- continue;
-
- for (const CTxOut& txout : wtx.tx->vout)
- {
- CTxDestination address;
- if (!ExtractDestination(txout.scriptPubKey, address))
- continue;
-
- if (has_filtered_address && !(filtered_address == address)) {
- continue;
- }
-
- isminefilter mine = pwallet->IsMine(address);
- if(!(mine & filter))
- continue;
-
- tallyitem& item = mapTally[address];
- item.nAmount += txout.nValue;
- item.nConf = std::min(item.nConf, nDepth);
- item.txids.push_back(wtx.GetHash());
- if (mine & ISMINE_WATCH_ONLY)
- item.fIsWatchonly = true;
- }
- }
-
- // Reply
- UniValue ret(UniValue::VARR);
- std::map<std::string, tallyitem> label_tally;
-
- // Create m_address_book iterator
- // If we aren't filtering, go from begin() to end()
- auto start = pwallet->m_address_book.begin();
- auto end = pwallet->m_address_book.end();
- // If we are filtering, find() the applicable entry
- if (has_filtered_address) {
- start = pwallet->m_address_book.find(filtered_address);
- if (start != end) {
- end = std::next(start);
- }
- }
-
- for (auto item_it = start; item_it != end; ++item_it)
- {
- if (item_it->second.IsChange()) continue;
- const CTxDestination& address = item_it->first;
- const std::string& label = item_it->second.GetLabel();
- auto it = mapTally.find(address);
- if (it == mapTally.end() && !fIncludeEmpty)
- continue;
-
- CAmount nAmount = 0;
- int nConf = std::numeric_limits<int>::max();
- bool fIsWatchonly = false;
- if (it != mapTally.end())
- {
- nAmount = (*it).second.nAmount;
- nConf = (*it).second.nConf;
- fIsWatchonly = (*it).second.fIsWatchonly;
- }
-
- if (by_label)
- {
- tallyitem& _item = label_tally[label];
- _item.nAmount += nAmount;
- _item.nConf = std::min(_item.nConf, nConf);
- _item.fIsWatchonly = fIsWatchonly;
- }
- else
- {
- UniValue obj(UniValue::VOBJ);
- if(fIsWatchonly)
- obj.pushKV("involvesWatchonly", true);
- obj.pushKV("address", EncodeDestination(address));
- obj.pushKV("amount", ValueFromAmount(nAmount));
- obj.pushKV("confirmations", (nConf == std::numeric_limits<int>::max() ? 0 : nConf));
- obj.pushKV("label", label);
- UniValue transactions(UniValue::VARR);
- if (it != mapTally.end())
- {
- for (const uint256& _item : (*it).second.txids)
- {
- transactions.push_back(_item.GetHex());
- }
- }
- obj.pushKV("txids", transactions);
- ret.push_back(obj);
- }
- }
-
- if (by_label)
- {
- for (const auto& entry : label_tally)
- {
- CAmount nAmount = entry.second.nAmount;
- int nConf = entry.second.nConf;
- UniValue obj(UniValue::VOBJ);
- if (entry.second.fIsWatchonly)
- obj.pushKV("involvesWatchonly", true);
- obj.pushKV("amount", ValueFromAmount(nAmount));
- obj.pushKV("confirmations", (nConf == std::numeric_limits<int>::max() ? 0 : nConf));
- obj.pushKV("label", entry.first);
- ret.push_back(obj);
- }
- }
-
- return ret;
-}
-
-static RPCHelpMan listreceivedbyaddress()
-{
- return RPCHelpMan{"listreceivedbyaddress",
- "\nList balances by receiving address.\n",
- {
- {"minconf", RPCArg::Type::NUM, /* default */ "1", "The minimum number of confirmations before payments are included."},
- {"include_empty", RPCArg::Type::BOOL, /* default */ "false", "Whether to include addresses that haven't received any payments."},
- {"include_watchonly", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Whether to include watch-only addresses (see 'importaddress')"},
- {"address_filter", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "If present, only return information on this address."},
- },
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::BOOL, "involvesWatchonly", "Only returns true if imported addresses were involved in transaction"},
- {RPCResult::Type::STR, "address", "The receiving address"},
- {RPCResult::Type::STR_AMOUNT, "amount", "The total amount in " + CURRENCY_UNIT + " received by the address"},
- {RPCResult::Type::NUM, "confirmations", "The number of confirmations of the most recent transaction included"},
- {RPCResult::Type::STR, "label", "The label of the receiving address. The default label is \"\""},
- {RPCResult::Type::ARR, "txids", "",
- {
- {RPCResult::Type::STR_HEX, "txid", "The ids of transactions received with the address"},
- }},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("listreceivedbyaddress", "")
- + HelpExampleCli("listreceivedbyaddress", "6 true")
- + HelpExampleRpc("listreceivedbyaddress", "6, true, true")
- + HelpExampleRpc("listreceivedbyaddress", "6, true, true, \"" + EXAMPLE_ADDRESS[0] + "\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- return ListReceived(pwallet, request.params, false);
-},
- };
-}
-
-static RPCHelpMan listreceivedbylabel()
-{
- return RPCHelpMan{"listreceivedbylabel",
- "\nList received transactions by label.\n",
- {
- {"minconf", RPCArg::Type::NUM, /* default */ "1", "The minimum number of confirmations before payments are included."},
- {"include_empty", RPCArg::Type::BOOL, /* default */ "false", "Whether to include labels that haven't received any payments."},
- {"include_watchonly", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Whether to include watch-only addresses (see 'importaddress')"},
- },
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::BOOL, "involvesWatchonly", "Only returns true if imported addresses were involved in transaction"},
- {RPCResult::Type::STR_AMOUNT, "amount", "The total amount received by addresses with this label"},
- {RPCResult::Type::NUM, "confirmations", "The number of confirmations of the most recent transaction included"},
- {RPCResult::Type::STR, "label", "The label of the receiving address. The default label is \"\""},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("listreceivedbylabel", "")
- + HelpExampleCli("listreceivedbylabel", "6 true")
- + HelpExampleRpc("listreceivedbylabel", "6, true, true")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- return ListReceived(pwallet, request.params, true);
-},
- };
-}
-
-static void MaybePushAddress(UniValue & entry, const CTxDestination &dest)
-{
- if (IsValidDestination(dest)) {
- entry.pushKV("address", EncodeDestination(dest));
- }
-}
-
-/**
- * List transactions based on the given criteria.
- *
- * @param pwallet The wallet.
- * @param wtx The wallet transaction.
- * @param nMinDepth The minimum confirmation depth.
- * @param fLong Whether to include the JSON version of the transaction.
- * @param ret The UniValue into which the result is stored.
- * @param filter_ismine The "is mine" filter flags.
- * @param filter_label Optional label string to filter incoming transactions.
- */
-static void ListTransactions(const CWallet* const pwallet, const CWalletTx& wtx, int nMinDepth, bool fLong, UniValue& ret, const isminefilter& filter_ismine, const std::string* filter_label) EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)
-{
- CAmount nFee;
- std::list<COutputEntry> listReceived;
- std::list<COutputEntry> listSent;
-
- wtx.GetAmounts(listReceived, listSent, nFee, filter_ismine);
-
- bool involvesWatchonly = wtx.IsFromMe(ISMINE_WATCH_ONLY);
-
- // Sent
- if (!filter_label)
- {
- for (const COutputEntry& s : listSent)
- {
- UniValue entry(UniValue::VOBJ);
- if (involvesWatchonly || (pwallet->IsMine(s.destination) & ISMINE_WATCH_ONLY)) {
- entry.pushKV("involvesWatchonly", true);
- }
- MaybePushAddress(entry, s.destination);
- entry.pushKV("category", "send");
- entry.pushKV("amount", ValueFromAmount(-s.amount));
- const auto* address_book_entry = pwallet->FindAddressBookEntry(s.destination);
- if (address_book_entry) {
- entry.pushKV("label", address_book_entry->GetLabel());
- }
- entry.pushKV("vout", s.vout);
- entry.pushKV("fee", ValueFromAmount(-nFee));
- if (fLong)
- WalletTxToJSON(pwallet->chain(), wtx, entry);
- entry.pushKV("abandoned", wtx.isAbandoned());
- ret.push_back(entry);
- }
- }
-
- // Received
- if (listReceived.size() > 0 && wtx.GetDepthInMainChain() >= nMinDepth) {
- for (const COutputEntry& r : listReceived)
- {
- std::string label;
- const auto* address_book_entry = pwallet->FindAddressBookEntry(r.destination);
- if (address_book_entry) {
- label = address_book_entry->GetLabel();
- }
- if (filter_label && label != *filter_label) {
- continue;
- }
- UniValue entry(UniValue::VOBJ);
- if (involvesWatchonly || (pwallet->IsMine(r.destination) & ISMINE_WATCH_ONLY)) {
- entry.pushKV("involvesWatchonly", true);
- }
- MaybePushAddress(entry, r.destination);
- if (wtx.IsCoinBase())
- {
- if (wtx.GetDepthInMainChain() < 1)
- entry.pushKV("category", "orphan");
- else if (wtx.IsImmatureCoinBase())
- entry.pushKV("category", "immature");
- else
- entry.pushKV("category", "generate");
- }
- else
- {
- entry.pushKV("category", "receive");
- }
- entry.pushKV("amount", ValueFromAmount(r.amount));
- if (address_book_entry) {
- entry.pushKV("label", label);
- }
- entry.pushKV("vout", r.vout);
- if (fLong)
- WalletTxToJSON(pwallet->chain(), wtx, entry);
- ret.push_back(entry);
- }
- }
-}
-
-static const std::vector<RPCResult> TransactionDescriptionString()
-{
- return{{RPCResult::Type::NUM, "confirmations", "The number of confirmations for the transaction. Negative confirmations means the\n"
- "transaction conflicted that many blocks ago."},
- {RPCResult::Type::BOOL, "generated", "Only present if transaction only input is a coinbase one."},
- {RPCResult::Type::BOOL, "trusted", "Only present if we consider transaction to be trusted and so safe to spend from."},
- {RPCResult::Type::STR_HEX, "blockhash", "The block hash containing the transaction."},
- {RPCResult::Type::NUM, "blockheight", "The block height containing the transaction."},
- {RPCResult::Type::NUM, "blockindex", "The index of the transaction in the block that includes it."},
- {RPCResult::Type::NUM_TIME, "blocktime", "The block time expressed in " + UNIX_EPOCH_TIME + "."},
- {RPCResult::Type::STR_HEX, "txid", "The transaction id."},
- {RPCResult::Type::ARR, "walletconflicts", "Conflicting transaction ids.",
- {
- {RPCResult::Type::STR_HEX, "txid", "The transaction id."},
- }},
- {RPCResult::Type::NUM_TIME, "time", "The transaction time expressed in " + UNIX_EPOCH_TIME + "."},
- {RPCResult::Type::NUM_TIME, "timereceived", "The time received expressed in " + UNIX_EPOCH_TIME + "."},
- {RPCResult::Type::STR, "comment", "If a comment is associated with the transaction, only present if not empty."},
- {RPCResult::Type::STR, "bip125-replaceable", "(\"yes|no|unknown\") Whether this transaction could be replaced due to BIP125 (replace-by-fee);\n"
- "may be unknown for unconfirmed transactions not in the mempool"}};
-}
-
-static RPCHelpMan listtransactions()
-{
- return RPCHelpMan{"listtransactions",
- "\nIf a label name is provided, this will return only incoming transactions paying to addresses with the specified label.\n"
- "\nReturns up to 'count' most recent transactions skipping the first 'from' transactions.\n",
- {
- {"label|dummy", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "If set, should be a valid label name to return only incoming transactions\n"
- "with the specified label, or \"*\" to disable filtering and return all transactions."},
- {"count", RPCArg::Type::NUM, /* default */ "10", "The number of transactions to return"},
- {"skip", RPCArg::Type::NUM, /* default */ "0", "The number of transactions to skip"},
- {"include_watchonly", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Include transactions to watch-only addresses (see 'importaddress')"},
- },
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::OBJ, "", "", Cat(Cat<std::vector<RPCResult>>(
- {
- {RPCResult::Type::BOOL, "involvesWatchonly", "Only returns true if imported addresses were involved in transaction."},
- {RPCResult::Type::STR, "address", "The bitcoin address of the transaction."},
- {RPCResult::Type::STR, "category", "The transaction category.\n"
- "\"send\" Transactions sent.\n"
- "\"receive\" Non-coinbase transactions received.\n"
- "\"generate\" Coinbase transactions received with more than 100 confirmations.\n"
- "\"immature\" Coinbase transactions received with 100 or fewer confirmations.\n"
- "\"orphan\" Orphaned coinbase transactions received."},
- {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT + ". This is negative for the 'send' category, and is positive\n"
- "for all other categories"},
- {RPCResult::Type::STR, "label", "A comment for the address/transaction, if any"},
- {RPCResult::Type::NUM, "vout", "the vout value"},
- {RPCResult::Type::STR_AMOUNT, "fee", "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the\n"
- "'send' category of transactions."},
- },
- TransactionDescriptionString()),
- {
- {RPCResult::Type::BOOL, "abandoned", "'true' if the transaction has been abandoned (inputs are respendable). Only available for the \n"
- "'send' category of transactions."},
- })},
- }
- },
- RPCExamples{
- "\nList the most recent 10 transactions in the systems\n"
- + HelpExampleCli("listtransactions", "") +
- "\nList transactions 100 to 120\n"
- + HelpExampleCli("listtransactions", "\"*\" 20 100") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("listtransactions", "\"*\", 20, 100")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- const std::string* filter_label = nullptr;
- if (!request.params[0].isNull() && request.params[0].get_str() != "*") {
- filter_label = &request.params[0].get_str();
- if (filter_label->empty()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Label argument must be a valid label name or \"*\".");
- }
- }
- int nCount = 10;
- if (!request.params[1].isNull())
- nCount = request.params[1].get_int();
- int nFrom = 0;
- if (!request.params[2].isNull())
- nFrom = request.params[2].get_int();
- isminefilter filter = ISMINE_SPENDABLE;
-
- if (ParseIncludeWatchonly(request.params[3], *pwallet)) {
- filter |= ISMINE_WATCH_ONLY;
- }
-
- if (nCount < 0)
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Negative count");
- if (nFrom < 0)
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Negative from");
-
- UniValue ret(UniValue::VARR);
-
- {
- LOCK(pwallet->cs_wallet);
-
- const CWallet::TxItems & txOrdered = pwallet->wtxOrdered;
-
- // iterate backwards until we have nCount items to return:
- for (CWallet::TxItems::const_reverse_iterator it = txOrdered.rbegin(); it != txOrdered.rend(); ++it)
- {
- CWalletTx *const pwtx = (*it).second;
- ListTransactions(pwallet, *pwtx, 0, true, ret, filter, filter_label);
- if ((int)ret.size() >= (nCount+nFrom)) break;
- }
- }
-
- // ret is newest to oldest
-
- if (nFrom > (int)ret.size())
- nFrom = ret.size();
- if ((nFrom + nCount) > (int)ret.size())
- nCount = ret.size() - nFrom;
-
- const std::vector<UniValue>& txs = ret.getValues();
- UniValue result{UniValue::VARR};
- result.push_backV({ txs.rend() - nFrom - nCount, txs.rend() - nFrom }); // Return oldest to newest
- return result;
-},
- };
-}
-
-static RPCHelpMan listsinceblock()
-{
- return RPCHelpMan{"listsinceblock",
- "\nGet all transactions in blocks since block [blockhash], or all transactions if omitted.\n"
- "If \"blockhash\" is no longer a part of the main chain, transactions from the fork point onward are included.\n"
- "Additionally, if include_removed is set, transactions affecting the wallet which were removed are returned in the \"removed\" array.\n",
- {
- {"blockhash", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "If set, the block hash to list transactions since, otherwise list all transactions."},
- {"target_confirmations", RPCArg::Type::NUM, /* default */ "1", "Return the nth block hash from the main chain. e.g. 1 would mean the best block hash. Note: this is not used as a filter, but only affects [lastblock] in the return value"},
- {"include_watchonly", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Include transactions to watch-only addresses (see 'importaddress')"},
- {"include_removed", RPCArg::Type::BOOL, /* default */ "true", "Show transactions that were removed due to a reorg in the \"removed\" array\n"
- "(not guaranteed to work on pruned nodes)"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::ARR, "transactions", "",
- {
- {RPCResult::Type::OBJ, "", "", Cat(Cat<std::vector<RPCResult>>(
- {
- {RPCResult::Type::BOOL, "involvesWatchonly", "Only returns true if imported addresses were involved in transaction."},
- {RPCResult::Type::STR, "address", "The bitcoin address of the transaction."},
- {RPCResult::Type::STR, "category", "The transaction category.\n"
- "\"send\" Transactions sent.\n"
- "\"receive\" Non-coinbase transactions received.\n"
- "\"generate\" Coinbase transactions received with more than 100 confirmations.\n"
- "\"immature\" Coinbase transactions received with 100 or fewer confirmations.\n"
- "\"orphan\" Orphaned coinbase transactions received."},
- {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT + ". This is negative for the 'send' category, and is positive\n"
- "for all other categories"},
- {RPCResult::Type::NUM, "vout", "the vout value"},
- {RPCResult::Type::STR_AMOUNT, "fee", "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the\n"
- "'send' category of transactions."},
- },
- TransactionDescriptionString()),
- {
- {RPCResult::Type::BOOL, "abandoned", "'true' if the transaction has been abandoned (inputs are respendable). Only available for the \n"
- "'send' category of transactions."},
- {RPCResult::Type::STR, "label", "A comment for the address/transaction, if any"},
- {RPCResult::Type::STR, "to", "If a comment to is associated with the transaction."},
- })},
- }},
- {RPCResult::Type::ARR, "removed", "<structure is the same as \"transactions\" above, only present if include_removed=true>\n"
- "Note: transactions that were re-added in the active chain will appear as-is in this array, and may thus have a positive confirmation count."
- , {{RPCResult::Type::ELISION, "", ""},}},
- {RPCResult::Type::STR_HEX, "lastblock", "The hash of the block (target_confirmations-1) from the best block on the main chain, or the genesis hash if the referenced block does not exist yet. This is typically used to feed back into listsinceblock the next time you call it. So you would generally use a target_confirmations of say 6, so you will be continually re-notified of transactions until they've reached 6 confirmations plus any new ones"},
- }
- },
- RPCExamples{
- HelpExampleCli("listsinceblock", "")
- + HelpExampleCli("listsinceblock", "\"000000000000000bacf66f7497b7dc45ef753ee9a7d38571037cdb1a57f663ad\" 6")
- + HelpExampleRpc("listsinceblock", "\"000000000000000bacf66f7497b7dc45ef753ee9a7d38571037cdb1a57f663ad\", 6")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const pwallet = GetWalletForJSONRPCRequest(request);
- if (!pwallet) return NullUniValue;
-
- const CWallet& wallet = *pwallet;
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- wallet.BlockUntilSyncedToCurrentChain();
-
- LOCK(wallet.cs_wallet);
-
- Optional<int> height; // Height of the specified block or the common ancestor, if the block provided was in a deactivated chain.
- Optional<int> altheight; // Height of the specified block, even if it's in a deactivated chain.
- int target_confirms = 1;
- isminefilter filter = ISMINE_SPENDABLE;
-
- uint256 blockId;
- if (!request.params[0].isNull() && !request.params[0].get_str().empty()) {
- blockId = ParseHashV(request.params[0], "blockhash");
- height = int{};
- altheight = int{};
- if (!wallet.chain().findCommonAncestor(blockId, wallet.GetLastBlockHash(), /* ancestor out */ FoundBlock().height(*height), /* blockId out */ FoundBlock().height(*altheight))) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Block not found");
- }
- }
-
- if (!request.params[1].isNull()) {
- target_confirms = request.params[1].get_int();
-
- if (target_confirms < 1) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter");
- }
- }
-
- if (ParseIncludeWatchonly(request.params[2], wallet)) {
- filter |= ISMINE_WATCH_ONLY;
- }
-
- bool include_removed = (request.params[3].isNull() || request.params[3].get_bool());
-
- int depth = height ? wallet.GetLastBlockHeight() + 1 - *height : -1;
-
- UniValue transactions(UniValue::VARR);
-
- for (const std::pair<const uint256, CWalletTx>& pairWtx : wallet.mapWallet) {
- const CWalletTx& tx = pairWtx.second;
-
- if (depth == -1 || abs(tx.GetDepthInMainChain()) < depth) {
- ListTransactions(&wallet, tx, 0, true, transactions, filter, nullptr /* filter_label */);
- }
- }
-
- // when a reorg'd block is requested, we also list any relevant transactions
- // in the blocks of the chain that was detached
- UniValue removed(UniValue::VARR);
- while (include_removed && altheight && *altheight > *height) {
- CBlock block;
- if (!wallet.chain().findBlock(blockId, FoundBlock().data(block)) || block.IsNull()) {
- throw JSONRPCError(RPC_INTERNAL_ERROR, "Can't read block from disk");
- }
- for (const CTransactionRef& tx : block.vtx) {
- auto it = wallet.mapWallet.find(tx->GetHash());
- if (it != wallet.mapWallet.end()) {
- // We want all transactions regardless of confirmation count to appear here,
- // even negative confirmation ones, hence the big negative.
- ListTransactions(&wallet, it->second, -100000000, true, removed, filter, nullptr /* filter_label */);
- }
- }
- blockId = block.hashPrevBlock;
- --*altheight;
- }
-
- uint256 lastblock;
- target_confirms = std::min(target_confirms, wallet.GetLastBlockHeight() + 1);
- CHECK_NONFATAL(wallet.chain().findAncestorByHeight(wallet.GetLastBlockHash(), wallet.GetLastBlockHeight() + 1 - target_confirms, FoundBlock().hash(lastblock)));
-
- UniValue ret(UniValue::VOBJ);
- ret.pushKV("transactions", transactions);
- if (include_removed) ret.pushKV("removed", removed);
- ret.pushKV("lastblock", lastblock.GetHex());
-
- return ret;
-},
- };
-}
-
-static RPCHelpMan gettransaction()
-{
- return RPCHelpMan{"gettransaction",
- "\nGet detailed information about in-wallet transaction <txid>\n",
- {
- {"txid", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction id"},
- {"include_watchonly", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false",
- "Whether to include watch-only addresses in balance calculation and details[]"},
- {"verbose", RPCArg::Type::BOOL, /* default */ "false",
- "Whether to include a `decoded` field containing the decoded transaction (equivalent to RPC decoderawtransaction)"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "", Cat(Cat<std::vector<RPCResult>>(
- {
- {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT},
- {RPCResult::Type::STR_AMOUNT, "fee", "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the\n"
- "'send' category of transactions."},
- },
- TransactionDescriptionString()),
- {
- {RPCResult::Type::ARR, "details", "",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::BOOL, "involvesWatchonly", "Only returns true if imported addresses were involved in transaction."},
- {RPCResult::Type::STR, "address", "The bitcoin address involved in the transaction."},
- {RPCResult::Type::STR, "category", "The transaction category.\n"
- "\"send\" Transactions sent.\n"
- "\"receive\" Non-coinbase transactions received.\n"
- "\"generate\" Coinbase transactions received with more than 100 confirmations.\n"
- "\"immature\" Coinbase transactions received with 100 or fewer confirmations.\n"
- "\"orphan\" Orphaned coinbase transactions received."},
- {RPCResult::Type::STR_AMOUNT, "amount", "The amount in " + CURRENCY_UNIT},
- {RPCResult::Type::STR, "label", "A comment for the address/transaction, if any"},
- {RPCResult::Type::NUM, "vout", "the vout value"},
- {RPCResult::Type::STR_AMOUNT, "fee", "The amount of the fee in " + CURRENCY_UNIT + ". This is negative and only available for the \n"
- "'send' category of transactions."},
- {RPCResult::Type::BOOL, "abandoned", "'true' if the transaction has been abandoned (inputs are respendable). Only available for the \n"
- "'send' category of transactions."},
- }},
- }},
- {RPCResult::Type::STR_HEX, "hex", "Raw data for transaction"},
- {RPCResult::Type::OBJ, "decoded", "Optional, the decoded transaction (only present when `verbose` is passed)",
- {
- {RPCResult::Type::ELISION, "", "Equivalent to the RPC decoderawtransaction method, or the RPC getrawtransaction method when `verbose` is passed."},
- }},
- })
- },
- RPCExamples{
- HelpExampleCli("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
- + HelpExampleCli("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\" true")
- + HelpExampleCli("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\" false true")
- + HelpExampleRpc("gettransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- uint256 hash(ParseHashV(request.params[0], "txid"));
-
- isminefilter filter = ISMINE_SPENDABLE;
-
- if (ParseIncludeWatchonly(request.params[1], *pwallet)) {
- filter |= ISMINE_WATCH_ONLY;
- }
-
- bool verbose = request.params[2].isNull() ? false : request.params[2].get_bool();
-
- UniValue entry(UniValue::VOBJ);
- auto it = pwallet->mapWallet.find(hash);
- if (it == pwallet->mapWallet.end()) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid or non-wallet transaction id");
- }
- const CWalletTx& wtx = it->second;
-
- CAmount nCredit = wtx.GetCredit(filter);
- CAmount nDebit = wtx.GetDebit(filter);
- CAmount nNet = nCredit - nDebit;
- CAmount nFee = (wtx.IsFromMe(filter) ? wtx.tx->GetValueOut() - nDebit : 0);
-
- entry.pushKV("amount", ValueFromAmount(nNet - nFee));
- if (wtx.IsFromMe(filter))
- entry.pushKV("fee", ValueFromAmount(nFee));
-
- WalletTxToJSON(pwallet->chain(), wtx, entry);
-
- UniValue details(UniValue::VARR);
- ListTransactions(pwallet, wtx, 0, false, details, filter, nullptr /* filter_label */);
- entry.pushKV("details", details);
-
- std::string strHex = EncodeHexTx(*wtx.tx, pwallet->chain().rpcSerializationFlags());
- entry.pushKV("hex", strHex);
-
- if (verbose) {
- UniValue decoded(UniValue::VOBJ);
- TxToUniv(*wtx.tx, uint256(), decoded, false);
- entry.pushKV("decoded", decoded);
- }
-
- return entry;
-},
- };
-}
-
-static RPCHelpMan abandontransaction()
-{
- return RPCHelpMan{"abandontransaction",
- "\nMark in-wallet transaction <txid> as abandoned\n"
- "This will mark this transaction and all its in-wallet descendants as abandoned which will allow\n"
- "for their inputs to be respent. It can be used to replace \"stuck\" or evicted transactions.\n"
- "It only works on transactions which are not included in a block and are not currently in the mempool.\n"
- "It has no effect on transactions which are already abandoned.\n",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- },
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- HelpExampleCli("abandontransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
- + HelpExampleRpc("abandontransaction", "\"1075db55d416d3ca199f55b6084e2115b9345e16c5cf302fc80e9d5fbf5d48d\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- uint256 hash(ParseHashV(request.params[0], "txid"));
-
- if (!pwallet->mapWallet.count(hash)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid or non-wallet transaction id");
- }
- if (!pwallet->AbandonTransaction(hash)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Transaction not eligible for abandonment");
- }
-
- return NullUniValue;
-},
- };
-}
-
-
-static RPCHelpMan backupwallet()
-{
- return RPCHelpMan{"backupwallet",
- "\nSafely copies current wallet file to destination, which can be a directory or a path with filename.\n",
- {
- {"destination", RPCArg::Type::STR, RPCArg::Optional::NO, "The destination directory or file"},
- },
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- HelpExampleCli("backupwallet", "\"backup.dat\"")
- + HelpExampleRpc("backupwallet", "\"backup.dat\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- std::string strDest = request.params[0].get_str();
- if (!pwallet->BackupWallet(strDest)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Error: Wallet backup failed!");
- }
-
- return NullUniValue;
-},
- };
-}
-
-
-static RPCHelpMan keypoolrefill()
-{
- return RPCHelpMan{"keypoolrefill",
- "\nFills the keypool."+
- HELP_REQUIRING_PASSPHRASE,
- {
- {"newsize", RPCArg::Type::NUM, /* default */ "100", "The new keypool size"},
- },
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- HelpExampleCli("keypoolrefill", "")
- + HelpExampleRpc("keypoolrefill", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- if (pwallet->IsLegacy() && pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Error: Private keys are disabled for this wallet");
- }
-
- LOCK(pwallet->cs_wallet);
-
- // 0 is interpreted by TopUpKeyPool() as the default keypool size given by -keypool
- unsigned int kpSize = 0;
- if (!request.params[0].isNull()) {
- if (request.params[0].get_int() < 0)
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, expected valid size.");
- kpSize = (unsigned int)request.params[0].get_int();
- }
-
- EnsureWalletIsUnlocked(pwallet);
- pwallet->TopUpKeyPool(kpSize);
-
- if (pwallet->GetKeyPoolSize() < kpSize) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Error refreshing keypool.");
- }
-
- return NullUniValue;
-},
- };
-}
-
-
-static RPCHelpMan walletpassphrase()
-{
- return RPCHelpMan{"walletpassphrase",
- "\nStores the wallet decryption key in memory for 'timeout' seconds.\n"
- "This is needed prior to performing transactions related to private keys such as sending bitcoins\n"
- "\nNote:\n"
- "Issuing the walletpassphrase command while the wallet is already unlocked will set a new unlock\n"
- "time that overrides the old one.\n",
- {
- {"passphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The wallet passphrase"},
- {"timeout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The time to keep the decryption key in seconds; capped at 100000000 (~3 years)."},
- },
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- "\nUnlock the wallet for 60 seconds\n"
- + HelpExampleCli("walletpassphrase", "\"my pass phrase\" 60") +
- "\nLock the wallet again (before 60 seconds)\n"
- + HelpExampleCli("walletlock", "") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("walletpassphrase", "\"my pass phrase\", 60")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- int64_t nSleepTime;
- int64_t relock_time;
- // Prevent concurrent calls to walletpassphrase with the same wallet.
- LOCK(pwallet->m_unlock_mutex);
- {
- LOCK(pwallet->cs_wallet);
-
- if (!pwallet->IsCrypted()) {
- throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an unencrypted wallet, but walletpassphrase was called.");
- }
-
- // Note that the walletpassphrase is stored in request.params[0] which is not mlock()ed
- SecureString strWalletPass;
- strWalletPass.reserve(100);
- // TODO: get rid of this .c_str() by implementing SecureString::operator=(std::string)
- // Alternately, find a way to make request.params[0] mlock()'d to begin with.
- strWalletPass = request.params[0].get_str().c_str();
-
- // Get the timeout
- nSleepTime = request.params[1].get_int64();
- // Timeout cannot be negative, otherwise it will relock immediately
- if (nSleepTime < 0) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Timeout cannot be negative.");
- }
- // Clamp timeout
- constexpr int64_t MAX_SLEEP_TIME = 100000000; // larger values trigger a macos/libevent bug?
- if (nSleepTime > MAX_SLEEP_TIME) {
- nSleepTime = MAX_SLEEP_TIME;
- }
-
- if (strWalletPass.empty()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "passphrase can not be empty");
- }
-
- if (!pwallet->Unlock(strWalletPass)) {
- throw JSONRPCError(RPC_WALLET_PASSPHRASE_INCORRECT, "Error: The wallet passphrase entered was incorrect.");
- }
-
- pwallet->TopUpKeyPool();
-
- pwallet->nRelockTime = GetTime() + nSleepTime;
- relock_time = pwallet->nRelockTime;
- }
-
- // rpcRunLater must be called without cs_wallet held otherwise a deadlock
- // can occur. The deadlock would happen when RPCRunLater removes the
- // previous timer (and waits for the callback to finish if already running)
- // and the callback locks cs_wallet.
- AssertLockNotHeld(wallet->cs_wallet);
- // Keep a weak pointer to the wallet so that it is possible to unload the
- // wallet before the following callback is called. If a valid shared pointer
- // is acquired in the callback then the wallet is still loaded.
- std::weak_ptr<CWallet> weak_wallet = wallet;
- pwallet->chain().rpcRunLater(strprintf("lockwallet(%s)", pwallet->GetName()), [weak_wallet, relock_time] {
- if (auto shared_wallet = weak_wallet.lock()) {
- LOCK(shared_wallet->cs_wallet);
- // Skip if this is not the most recent rpcRunLater callback.
- if (shared_wallet->nRelockTime != relock_time) return;
- shared_wallet->Lock();
- shared_wallet->nRelockTime = 0;
- }
- }, nSleepTime);
-
- return NullUniValue;
-},
- };
-}
-
-
-static RPCHelpMan walletpassphrasechange()
-{
- return RPCHelpMan{"walletpassphrasechange",
- "\nChanges the wallet passphrase from 'oldpassphrase' to 'newpassphrase'.\n",
- {
- {"oldpassphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The current passphrase"},
- {"newpassphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The new passphrase"},
- },
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- HelpExampleCli("walletpassphrasechange", "\"old one\" \"new one\"")
- + HelpExampleRpc("walletpassphrasechange", "\"old one\", \"new one\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- if (!pwallet->IsCrypted()) {
- throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an unencrypted wallet, but walletpassphrasechange was called.");
- }
-
- // TODO: get rid of these .c_str() calls by implementing SecureString::operator=(std::string)
- // Alternately, find a way to make request.params[0] mlock()'d to begin with.
- SecureString strOldWalletPass;
- strOldWalletPass.reserve(100);
- strOldWalletPass = request.params[0].get_str().c_str();
-
- SecureString strNewWalletPass;
- strNewWalletPass.reserve(100);
- strNewWalletPass = request.params[1].get_str().c_str();
-
- if (strOldWalletPass.empty() || strNewWalletPass.empty()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "passphrase can not be empty");
- }
-
- if (!pwallet->ChangeWalletPassphrase(strOldWalletPass, strNewWalletPass)) {
- throw JSONRPCError(RPC_WALLET_PASSPHRASE_INCORRECT, "Error: The wallet passphrase entered was incorrect.");
- }
-
- return NullUniValue;
-},
- };
-}
-
-
-static RPCHelpMan walletlock()
-{
- return RPCHelpMan{"walletlock",
- "\nRemoves the wallet encryption key from memory, locking the wallet.\n"
- "After calling this method, you will need to call walletpassphrase again\n"
- "before being able to call any methods which require the wallet to be unlocked.\n",
- {},
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- "\nSet the passphrase for 2 minutes to perform a transaction\n"
- + HelpExampleCli("walletpassphrase", "\"my pass phrase\" 120") +
- "\nPerform a send (requires passphrase set)\n"
- + HelpExampleCli("sendtoaddress", "\"" + EXAMPLE_ADDRESS[0] + "\" 1.0") +
- "\nClear the passphrase since we are done before 2 minutes is up\n"
- + HelpExampleCli("walletlock", "") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("walletlock", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- if (!pwallet->IsCrypted()) {
- throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an unencrypted wallet, but walletlock was called.");
- }
-
- pwallet->Lock();
- pwallet->nRelockTime = 0;
-
- return NullUniValue;
-},
- };
-}
-
-
-static RPCHelpMan encryptwallet()
-{
- return RPCHelpMan{"encryptwallet",
- "\nEncrypts the wallet with 'passphrase'. This is for first time encryption.\n"
- "After this, any calls that interact with private keys such as sending or signing \n"
- "will require the passphrase to be set prior the making these calls.\n"
- "Use the walletpassphrase call for this, and then walletlock call.\n"
- "If the wallet is already encrypted, use the walletpassphrasechange call.\n",
- {
- {"passphrase", RPCArg::Type::STR, RPCArg::Optional::NO, "The pass phrase to encrypt the wallet with. It must be at least 1 character, but should be long."},
- },
- RPCResult{RPCResult::Type::STR, "", "A string with further instructions"},
- RPCExamples{
- "\nEncrypt your wallet\n"
- + HelpExampleCli("encryptwallet", "\"my pass phrase\"") +
- "\nNow set the passphrase to use the wallet, such as for signing or sending bitcoin\n"
- + HelpExampleCli("walletpassphrase", "\"my pass phrase\"") +
- "\nNow we can do something like sign\n"
- + HelpExampleCli("signmessage", "\"address\" \"test message\"") +
- "\nNow lock the wallet again by removing the passphrase\n"
- + HelpExampleCli("walletlock", "") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("encryptwallet", "\"my pass phrase\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
- throw JSONRPCError(RPC_WALLET_ENCRYPTION_FAILED, "Error: wallet does not contain private keys, nothing to encrypt.");
- }
-
- if (pwallet->IsCrypted()) {
- throw JSONRPCError(RPC_WALLET_WRONG_ENC_STATE, "Error: running with an encrypted wallet, but encryptwallet was called.");
- }
-
- // TODO: get rid of this .c_str() by implementing SecureString::operator=(std::string)
- // Alternately, find a way to make request.params[0] mlock()'d to begin with.
- SecureString strWalletPass;
- strWalletPass.reserve(100);
- strWalletPass = request.params[0].get_str().c_str();
-
- if (strWalletPass.empty()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "passphrase can not be empty");
- }
-
- if (!pwallet->EncryptWallet(strWalletPass)) {
- throw JSONRPCError(RPC_WALLET_ENCRYPTION_FAILED, "Error: Failed to encrypt the wallet.");
- }
-
- return "wallet encrypted; The keypool has been flushed and a new HD seed was generated (if you are using HD). You need to make a new backup.";
-},
- };
-}
-
-static RPCHelpMan lockunspent()
-{
- return RPCHelpMan{"lockunspent",
- "\nUpdates list of temporarily unspendable outputs.\n"
- "Temporarily lock (unlock=false) or unlock (unlock=true) specified transaction outputs.\n"
- "If no transaction outputs are specified when unlocking then all current locked transaction outputs are unlocked.\n"
- "A locked transaction output will not be chosen by automatic coin selection, when spending bitcoins.\n"
- "Manually selected coins are automatically unlocked.\n"
- "Locks are stored in memory only. Nodes start with zero locked outputs, and the locked output list\n"
- "is always cleared (by virtue of process exit) when a node stops or fails.\n"
- "Also see the listunspent call\n",
- {
- {"unlock", RPCArg::Type::BOOL, RPCArg::Optional::NO, "Whether to unlock (true) or lock (false) the specified transactions"},
- {"transactions", RPCArg::Type::ARR, /* default */ "empty array", "The transaction outputs and within each, the txid (string) vout (numeric).",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
- },
- },
- },
- },
- },
- RPCResult{
- RPCResult::Type::BOOL, "", "Whether the command was successful or not"
- },
- RPCExamples{
- "\nList the unspent transactions\n"
- + HelpExampleCli("listunspent", "") +
- "\nLock an unspent transaction\n"
- + HelpExampleCli("lockunspent", "false \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
- "\nList the locked transactions\n"
- + HelpExampleCli("listlockunspent", "") +
- "\nUnlock the transaction again\n"
- + HelpExampleCli("lockunspent", "true \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("lockunspent", "false, \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- RPCTypeCheckArgument(request.params[0], UniValue::VBOOL);
-
- bool fUnlock = request.params[0].get_bool();
-
- if (request.params[1].isNull()) {
- if (fUnlock)
- pwallet->UnlockAllCoins();
- return true;
- }
-
- RPCTypeCheckArgument(request.params[1], UniValue::VARR);
-
- const UniValue& output_params = request.params[1];
-
- // Create and validate the COutPoints first.
-
- std::vector<COutPoint> outputs;
- outputs.reserve(output_params.size());
-
- for (unsigned int idx = 0; idx < output_params.size(); idx++) {
- const UniValue& o = output_params[idx].get_obj();
-
- RPCTypeCheckObj(o,
- {
- {"txid", UniValueType(UniValue::VSTR)},
- {"vout", UniValueType(UniValue::VNUM)},
- });
-
- const uint256 txid(ParseHashO(o, "txid"));
- const int nOutput = find_value(o, "vout").get_int();
- if (nOutput < 0) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, vout cannot be negative");
- }
-
- const COutPoint outpt(txid, nOutput);
-
- const auto it = pwallet->mapWallet.find(outpt.hash);
- if (it == pwallet->mapWallet.end()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, unknown transaction");
- }
-
- const CWalletTx& trans = it->second;
-
- if (outpt.n >= trans.tx->vout.size()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, vout index out of bounds");
- }
-
- if (pwallet->IsSpent(outpt.hash, outpt.n)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, expected unspent output");
- }
-
- const bool is_locked = pwallet->IsLockedCoin(outpt.hash, outpt.n);
-
- if (fUnlock && !is_locked) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, expected locked output");
- }
-
- if (!fUnlock && is_locked) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid parameter, output already locked");
- }
-
- outputs.push_back(outpt);
- }
-
- // Atomically set (un)locked status for the outputs.
- for (const COutPoint& outpt : outputs) {
- if (fUnlock) pwallet->UnlockCoin(outpt);
- else pwallet->LockCoin(outpt);
- }
-
- return true;
-},
- };
-}
-
-static RPCHelpMan listlockunspent()
-{
- return RPCHelpMan{"listlockunspent",
- "\nReturns list of temporarily unspendable outputs.\n"
- "See the lockunspent call to lock and unlock transactions for spending.\n",
- {},
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "txid", "The transaction id locked"},
- {RPCResult::Type::NUM, "vout", "The vout value"},
- }},
- }
- },
- RPCExamples{
- "\nList the unspent transactions\n"
- + HelpExampleCli("listunspent", "") +
- "\nLock an unspent transaction\n"
- + HelpExampleCli("lockunspent", "false \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
- "\nList the locked transactions\n"
- + HelpExampleCli("listlockunspent", "") +
- "\nUnlock the transaction again\n"
- + HelpExampleCli("lockunspent", "true \"[{\\\"txid\\\":\\\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\\\",\\\"vout\\\":1}]\"") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("listlockunspent", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- std::vector<COutPoint> vOutpts;
- pwallet->ListLockedCoins(vOutpts);
-
- UniValue ret(UniValue::VARR);
-
- for (const COutPoint& outpt : vOutpts) {
- UniValue o(UniValue::VOBJ);
-
- o.pushKV("txid", outpt.hash.GetHex());
- o.pushKV("vout", (int)outpt.n);
- ret.push_back(o);
- }
-
- return ret;
-},
- };
-}
-
-static RPCHelpMan settxfee()
-{
- return RPCHelpMan{"settxfee",
- "\nSet the transaction fee per kB for this wallet. Overrides the global -paytxfee command line parameter.\n"
- "Can be deactivated by passing 0 as the fee. In that case automatic fee selection will be used by default.\n",
- {
- {"amount", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "The transaction fee in " + CURRENCY_UNIT + "/kvB"},
- },
- RPCResult{
- RPCResult::Type::BOOL, "", "Returns true if successful"
- },
- RPCExamples{
- HelpExampleCli("settxfee", "0.00001")
- + HelpExampleRpc("settxfee", "0.00001")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- CAmount nAmount = AmountFromValue(request.params[0]);
- CFeeRate tx_fee_rate(nAmount, 1000);
- CFeeRate max_tx_fee_rate(pwallet->m_default_max_tx_fee, 1000);
- if (tx_fee_rate == CFeeRate(0)) {
- // automatic selection
- } else if (tx_fee_rate < pwallet->chain().relayMinFee()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("txfee cannot be less than min relay tx fee (%s)", pwallet->chain().relayMinFee().ToString()));
- } else if (tx_fee_rate < pwallet->m_min_fee) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("txfee cannot be less than wallet min fee (%s)", pwallet->m_min_fee.ToString()));
- } else if (tx_fee_rate > max_tx_fee_rate) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("txfee cannot be more than wallet max tx fee (%s)", max_tx_fee_rate.ToString()));
- }
-
- pwallet->m_pay_tx_fee = tx_fee_rate;
- return true;
-},
- };
-}
-
-static RPCHelpMan getbalances()
-{
- return RPCHelpMan{
- "getbalances",
- "Returns an object with all balances in " + CURRENCY_UNIT + ".\n",
- {},
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::OBJ, "mine", "balances from outputs that the wallet can sign",
- {
- {RPCResult::Type::STR_AMOUNT, "trusted", "trusted balance (outputs created by the wallet or confirmed outputs)"},
- {RPCResult::Type::STR_AMOUNT, "untrusted_pending", "untrusted pending balance (outputs created by others that are in the mempool)"},
- {RPCResult::Type::STR_AMOUNT, "immature", "balance from immature coinbase outputs"},
- {RPCResult::Type::STR_AMOUNT, "used", "(only present if avoid_reuse is set) balance from coins sent to addresses that were previously spent from (potentially privacy violating)"},
- }},
- {RPCResult::Type::OBJ, "watchonly", "watchonly balances (not present if wallet does not watch anything)",
- {
- {RPCResult::Type::STR_AMOUNT, "trusted", "trusted balance (outputs created by the wallet or confirmed outputs)"},
- {RPCResult::Type::STR_AMOUNT, "untrusted_pending", "untrusted pending balance (outputs created by others that are in the mempool)"},
- {RPCResult::Type::STR_AMOUNT, "immature", "balance from immature coinbase outputs"},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("getbalances", "") +
- HelpExampleRpc("getbalances", "")},
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const rpc_wallet = GetWalletForJSONRPCRequest(request);
- if (!rpc_wallet) return NullUniValue;
- CWallet& wallet = *rpc_wallet;
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- wallet.BlockUntilSyncedToCurrentChain();
-
- LOCK(wallet.cs_wallet);
-
- const auto bal = wallet.GetBalance();
- UniValue balances{UniValue::VOBJ};
- {
- UniValue balances_mine{UniValue::VOBJ};
- balances_mine.pushKV("trusted", ValueFromAmount(bal.m_mine_trusted));
- balances_mine.pushKV("untrusted_pending", ValueFromAmount(bal.m_mine_untrusted_pending));
- balances_mine.pushKV("immature", ValueFromAmount(bal.m_mine_immature));
- if (wallet.IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE)) {
- // If the AVOID_REUSE flag is set, bal has been set to just the un-reused address balance. Get
- // the total balance, and then subtract bal to get the reused address balance.
- const auto full_bal = wallet.GetBalance(0, false);
- balances_mine.pushKV("used", ValueFromAmount(full_bal.m_mine_trusted + full_bal.m_mine_untrusted_pending - bal.m_mine_trusted - bal.m_mine_untrusted_pending));
- }
- balances.pushKV("mine", balances_mine);
- }
- auto spk_man = wallet.GetLegacyScriptPubKeyMan();
- if (spk_man && spk_man->HaveWatchOnly()) {
- UniValue balances_watchonly{UniValue::VOBJ};
- balances_watchonly.pushKV("trusted", ValueFromAmount(bal.m_watchonly_trusted));
- balances_watchonly.pushKV("untrusted_pending", ValueFromAmount(bal.m_watchonly_untrusted_pending));
- balances_watchonly.pushKV("immature", ValueFromAmount(bal.m_watchonly_immature));
- balances.pushKV("watchonly", balances_watchonly);
- }
- return balances;
-},
- };
-}
-
-static RPCHelpMan getwalletinfo()
-{
- return RPCHelpMan{"getwalletinfo",
- "Returns an object containing various wallet state info.\n",
- {},
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {
- {RPCResult::Type::STR, "walletname", "the wallet name"},
- {RPCResult::Type::NUM, "walletversion", "the wallet version"},
- {RPCResult::Type::STR, "format", "the database format (bdb or sqlite)"},
- {RPCResult::Type::STR_AMOUNT, "balance", "DEPRECATED. Identical to getbalances().mine.trusted"},
- {RPCResult::Type::STR_AMOUNT, "unconfirmed_balance", "DEPRECATED. Identical to getbalances().mine.untrusted_pending"},
- {RPCResult::Type::STR_AMOUNT, "immature_balance", "DEPRECATED. Identical to getbalances().mine.immature"},
- {RPCResult::Type::NUM, "txcount", "the total number of transactions in the wallet"},
- {RPCResult::Type::NUM_TIME, "keypoololdest", "the " + UNIX_EPOCH_TIME + " of the oldest pre-generated key in the key pool. Legacy wallets only."},
- {RPCResult::Type::NUM, "keypoolsize", "how many new keys are pre-generated (only counts external keys)"},
- {RPCResult::Type::NUM, "keypoolsize_hd_internal", "how many new keys are pre-generated for internal use (used for change outputs, only appears if the wallet is using this feature, otherwise external keys are used)"},
- {RPCResult::Type::NUM_TIME, "unlocked_until", /* optional */ true, "the " + UNIX_EPOCH_TIME + " until which the wallet is unlocked for transfers, or 0 if the wallet is locked (only present for passphrase-encrypted wallets)"},
- {RPCResult::Type::STR_AMOUNT, "paytxfee", "the transaction fee configuration, set in " + CURRENCY_UNIT + "/kvB"},
- {RPCResult::Type::STR_HEX, "hdseedid", /* optional */ true, "the Hash160 of the HD seed (only present when HD is enabled)"},
- {RPCResult::Type::BOOL, "private_keys_enabled", "false if privatekeys are disabled for this wallet (enforced watch-only wallet)"},
- {RPCResult::Type::BOOL, "avoid_reuse", "whether this wallet tracks clean/dirty coins in terms of reuse"},
- {RPCResult::Type::OBJ, "scanning", "current scanning details, or false if no scan is in progress",
- {
- {RPCResult::Type::NUM, "duration", "elapsed seconds since scan start"},
- {RPCResult::Type::NUM, "progress", "scanning progress percentage [0.0, 1.0]"},
- }},
- {RPCResult::Type::BOOL, "descriptors", "whether this wallet uses descriptors for scriptPubKey management"},
- }},
- },
- RPCExamples{
- HelpExampleCli("getwalletinfo", "")
- + HelpExampleRpc("getwalletinfo", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
-
- UniValue obj(UniValue::VOBJ);
-
- size_t kpExternalSize = pwallet->KeypoolCountExternalKeys();
- const auto bal = pwallet->GetBalance();
- int64_t kp_oldest = pwallet->GetOldestKeyPoolTime();
- obj.pushKV("walletname", pwallet->GetName());
- obj.pushKV("walletversion", pwallet->GetVersion());
- obj.pushKV("format", pwallet->GetDatabase().Format());
- obj.pushKV("balance", ValueFromAmount(bal.m_mine_trusted));
- obj.pushKV("unconfirmed_balance", ValueFromAmount(bal.m_mine_untrusted_pending));
- obj.pushKV("immature_balance", ValueFromAmount(bal.m_mine_immature));
- obj.pushKV("txcount", (int)pwallet->mapWallet.size());
- if (kp_oldest > 0) {
- obj.pushKV("keypoololdest", kp_oldest);
- }
- obj.pushKV("keypoolsize", (int64_t)kpExternalSize);
-
- LegacyScriptPubKeyMan* spk_man = pwallet->GetLegacyScriptPubKeyMan();
- if (spk_man) {
- CKeyID seed_id = spk_man->GetHDChain().seed_id;
- if (!seed_id.IsNull()) {
- obj.pushKV("hdseedid", seed_id.GetHex());
- }
- }
-
- if (pwallet->CanSupportFeature(FEATURE_HD_SPLIT)) {
- obj.pushKV("keypoolsize_hd_internal", (int64_t)(pwallet->GetKeyPoolSize() - kpExternalSize));
- }
- if (pwallet->IsCrypted()) {
- obj.pushKV("unlocked_until", pwallet->nRelockTime);
- }
- obj.pushKV("paytxfee", ValueFromAmount(pwallet->m_pay_tx_fee.GetFeePerK()));
- obj.pushKV("private_keys_enabled", !pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS));
- obj.pushKV("avoid_reuse", pwallet->IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE));
- if (pwallet->IsScanning()) {
- UniValue scanning(UniValue::VOBJ);
- scanning.pushKV("duration", pwallet->ScanningDuration() / 1000);
- scanning.pushKV("progress", pwallet->ScanningProgress());
- obj.pushKV("scanning", scanning);
- } else {
- obj.pushKV("scanning", false);
- }
- obj.pushKV("descriptors", pwallet->IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS));
- return obj;
-},
- };
-}
-
-static RPCHelpMan listwalletdir()
-{
- return RPCHelpMan{"listwalletdir",
- "Returns a list of wallets in the wallet directory.\n",
- {},
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::ARR, "wallets", "",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "name", "The wallet name"},
- }},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("listwalletdir", "")
- + HelpExampleRpc("listwalletdir", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- UniValue wallets(UniValue::VARR);
- for (const auto& path : ListDatabases(GetWalletDir())) {
- UniValue wallet(UniValue::VOBJ);
- wallet.pushKV("name", path.string());
- wallets.push_back(wallet);
- }
-
- UniValue result(UniValue::VOBJ);
- result.pushKV("wallets", wallets);
- return result;
-},
- };
-}
-
-static RPCHelpMan listwallets()
-{
- return RPCHelpMan{"listwallets",
- "Returns a list of currently loaded wallets.\n"
- "For full information on the wallet, use \"getwalletinfo\"\n",
- {},
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::STR, "walletname", "the wallet name"},
- }
- },
- RPCExamples{
- HelpExampleCli("listwallets", "")
- + HelpExampleRpc("listwallets", "")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- UniValue obj(UniValue::VARR);
-
- for (const std::shared_ptr<CWallet>& wallet : GetWallets()) {
- LOCK(wallet->cs_wallet);
- obj.push_back(wallet->GetName());
- }
-
- return obj;
-},
- };
-}
-
-static RPCHelpMan loadwallet()
-{
- return RPCHelpMan{"loadwallet",
- "\nLoads a wallet from a wallet file or directory."
- "\nNote that all wallet command-line options used when starting bitcoind will be"
- "\napplied to the new wallet (eg -rescan, etc).\n",
- {
- {"filename", RPCArg::Type::STR, RPCArg::Optional::NO, "The wallet directory or .dat file."},
- {"load_on_startup", RPCArg::Type::BOOL, /* default */ "null", "Save wallet name to persistent settings and load on startup. True to add wallet to startup list, false to remove, null to leave unchanged."},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "name", "The wallet name if loaded successfully."},
- {RPCResult::Type::STR, "warning", "Warning message if wallet was not loaded cleanly."},
- }
- },
- RPCExamples{
- HelpExampleCli("loadwallet", "\"test.dat\"")
- + HelpExampleRpc("loadwallet", "\"test.dat\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- WalletContext& context = EnsureWalletContext(request.context);
- const std::string name(request.params[0].get_str());
-
- DatabaseOptions options;
- DatabaseStatus status;
- options.require_existing = true;
- bilingual_str error;
- std::vector<bilingual_str> warnings;
- Optional<bool> load_on_start = request.params[1].isNull() ? nullopt : Optional<bool>(request.params[1].get_bool());
- std::shared_ptr<CWallet> const wallet = LoadWallet(*context.chain, name, load_on_start, options, status, error, warnings);
- if (!wallet) {
- // Map bad format to not found, since bad format is returned when the
- // wallet directory exists, but doesn't contain a data file.
- RPCErrorCode code = RPC_WALLET_ERROR;
- switch (status) {
- case DatabaseStatus::FAILED_NOT_FOUND:
- case DatabaseStatus::FAILED_BAD_FORMAT:
- code = RPC_WALLET_NOT_FOUND;
- break;
- case DatabaseStatus::FAILED_ALREADY_LOADED:
- code = RPC_WALLET_ALREADY_LOADED;
- break;
- default: // RPC_WALLET_ERROR is returned for all other cases.
- break;
- }
- throw JSONRPCError(code, error.original);
- }
-
- UniValue obj(UniValue::VOBJ);
- obj.pushKV("name", wallet->GetName());
- obj.pushKV("warning", Join(warnings, Untranslated("\n")).original);
-
- return obj;
-},
- };
-}
-
-static RPCHelpMan setwalletflag()
-{
- std::string flags = "";
- for (auto& it : WALLET_FLAG_MAP)
- if (it.second & MUTABLE_WALLET_FLAGS)
- flags += (flags == "" ? "" : ", ") + it.first;
-
- return RPCHelpMan{"setwalletflag",
- "\nChange the state of the given wallet flag for a wallet.\n",
- {
- {"flag", RPCArg::Type::STR, RPCArg::Optional::NO, "The name of the flag to change. Current available flags: " + flags},
- {"value", RPCArg::Type::BOOL, /* default */ "true", "The new state."},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "flag_name", "The name of the flag that was modified"},
- {RPCResult::Type::BOOL, "flag_state", "The new state of the flag"},
- {RPCResult::Type::STR, "warnings", "Any warnings associated with the change"},
- }
- },
- RPCExamples{
- HelpExampleCli("setwalletflag", "avoid_reuse")
- + HelpExampleRpc("setwalletflag", "\"avoid_reuse\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- std::string flag_str = request.params[0].get_str();
- bool value = request.params[1].isNull() || request.params[1].get_bool();
-
- if (!WALLET_FLAG_MAP.count(flag_str)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Unknown wallet flag: %s", flag_str));
- }
-
- auto flag = WALLET_FLAG_MAP.at(flag_str);
-
- if (!(flag & MUTABLE_WALLET_FLAGS)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Wallet flag is immutable: %s", flag_str));
- }
-
- UniValue res(UniValue::VOBJ);
-
- if (pwallet->IsWalletFlagSet(flag) == value) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Wallet flag is already set to %s: %s", value ? "true" : "false", flag_str));
- }
-
- res.pushKV("flag_name", flag_str);
- res.pushKV("flag_state", value);
-
- if (value) {
- pwallet->SetWalletFlag(flag);
- } else {
- pwallet->UnsetWalletFlag(flag);
- }
-
- if (flag && value && WALLET_FLAG_CAVEATS.count(flag)) {
- res.pushKV("warnings", WALLET_FLAG_CAVEATS.at(flag));
- }
-
- return res;
-},
- };
-}
-
-static RPCHelpMan createwallet()
-{
- return RPCHelpMan{
- "createwallet",
- "\nCreates and loads a new wallet.\n",
- {
- {"wallet_name", RPCArg::Type::STR, RPCArg::Optional::NO, "The name for the new wallet. If this is a path, the wallet will be created at the path location."},
- {"disable_private_keys", RPCArg::Type::BOOL, /* default */ "false", "Disable the possibility of private keys (only watchonlys are possible in this mode)."},
- {"blank", RPCArg::Type::BOOL, /* default */ "false", "Create a blank wallet. A blank wallet has no keys or HD seed. One can be set using sethdseed."},
- {"passphrase", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "Encrypt the wallet with this passphrase."},
- {"avoid_reuse", RPCArg::Type::BOOL, /* default */ "false", "Keep track of coin reuse, and treat dirty and clean coins differently with privacy considerations in mind."},
- {"descriptors", RPCArg::Type::BOOL, /* default */ "false", "Create a native descriptor wallet. The wallet will use descriptors internally to handle address creation"},
- {"load_on_startup", RPCArg::Type::BOOL, /* default */ "null", "Save wallet name to persistent settings and load on startup. True to add wallet to startup list, false to remove, null to leave unchanged."},
- {"external_signer", RPCArg::Type::BOOL, /* default */ "false", "Use an external signer such as a hardware wallet. Requires -signer to be configured. Wallet creation will fail if keys cannot be fetched. Requires disable_private_keys and descriptors set to true."},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "name", "The wallet name if created successfully. If the wallet was created using a full path, the wallet_name will be the full path."},
- {RPCResult::Type::STR, "warning", "Warning message if wallet was not loaded cleanly."},
- }
- },
- RPCExamples{
- HelpExampleCli("createwallet", "\"testwallet\"")
- + HelpExampleRpc("createwallet", "\"testwallet\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- WalletContext& context = EnsureWalletContext(request.context);
- uint64_t flags = 0;
- if (!request.params[1].isNull() && request.params[1].get_bool()) {
- flags |= WALLET_FLAG_DISABLE_PRIVATE_KEYS;
- }
-
- if (!request.params[2].isNull() && request.params[2].get_bool()) {
- flags |= WALLET_FLAG_BLANK_WALLET;
- }
- SecureString passphrase;
- passphrase.reserve(100);
- std::vector<bilingual_str> warnings;
- if (!request.params[3].isNull()) {
- passphrase = request.params[3].get_str().c_str();
- if (passphrase.empty()) {
- // Empty string means unencrypted
- warnings.emplace_back(Untranslated("Empty string given as passphrase, wallet will not be encrypted."));
- }
- }
-
- if (!request.params[4].isNull() && request.params[4].get_bool()) {
- flags |= WALLET_FLAG_AVOID_REUSE;
- }
- if (!request.params[5].isNull() && request.params[5].get_bool()) {
-#ifndef USE_SQLITE
- throw JSONRPCError(RPC_WALLET_ERROR, "Compiled without sqlite support (required for descriptor wallets)");
-#endif
- flags |= WALLET_FLAG_DESCRIPTORS;
- warnings.emplace_back(Untranslated("Wallet is an experimental descriptor wallet"));
- }
- if (!request.params[7].isNull() && request.params[7].get_bool()) {
-#ifdef ENABLE_EXTERNAL_SIGNER
- flags |= WALLET_FLAG_EXTERNAL_SIGNER;
-#else
- throw JSONRPCError(RPC_WALLET_ERROR, "Configure with --enable-external-signer to use this");
-#endif
- }
-
-#ifndef USE_BDB
- if (!(flags & WALLET_FLAG_DESCRIPTORS)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Compiled without bdb support (required for legacy wallets)");
- }
-#endif
-
- DatabaseOptions options;
- DatabaseStatus status;
- options.require_create = true;
- options.create_flags = flags;
- options.create_passphrase = passphrase;
- bilingual_str error;
- Optional<bool> load_on_start = request.params[6].isNull() ? nullopt : Optional<bool>(request.params[6].get_bool());
- std::shared_ptr<CWallet> wallet = CreateWallet(*context.chain, request.params[0].get_str(), load_on_start, options, status, error, warnings);
- if (!wallet) {
- RPCErrorCode code = status == DatabaseStatus::FAILED_ENCRYPT ? RPC_WALLET_ENCRYPTION_FAILED : RPC_WALLET_ERROR;
- throw JSONRPCError(code, error.original);
- }
-
- UniValue obj(UniValue::VOBJ);
- obj.pushKV("name", wallet->GetName());
- obj.pushKV("warning", Join(warnings, Untranslated("\n")).original);
-
- return obj;
-},
- };
-}
-
-static RPCHelpMan unloadwallet()
-{
- return RPCHelpMan{"unloadwallet",
- "Unloads the wallet referenced by the request endpoint otherwise unloads the wallet specified in the argument.\n"
- "Specifying the wallet name on a wallet endpoint is invalid.",
- {
- {"wallet_name", RPCArg::Type::STR, /* default */ "the wallet name from the RPC endpoint", "The name of the wallet to unload. If provided both here and in the RPC endpoint, the two must be identical."},
- {"load_on_startup", RPCArg::Type::BOOL, /* default */ "null", "Save wallet name to persistent settings and load on startup. True to add wallet to startup list, false to remove, null to leave unchanged."},
- },
- RPCResult{RPCResult::Type::OBJ, "", "", {
- {RPCResult::Type::STR, "warning", "Warning message if wallet was not unloaded cleanly."},
- }},
- RPCExamples{
- HelpExampleCli("unloadwallet", "wallet_name")
- + HelpExampleRpc("unloadwallet", "wallet_name")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::string wallet_name;
- if (GetWalletNameFromJSONRPCRequest(request, wallet_name)) {
- if (!(request.params[0].isNull() || request.params[0].get_str() == wallet_name)) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "RPC endpoint wallet and wallet_name parameter specify different wallets");
- }
- } else {
- wallet_name = request.params[0].get_str();
- }
-
- std::shared_ptr<CWallet> wallet = GetWallet(wallet_name);
- if (!wallet) {
- throw JSONRPCError(RPC_WALLET_NOT_FOUND, "Requested wallet does not exist or is not loaded");
- }
-
- // Release the "main" shared pointer and prevent further notifications.
- // Note that any attempt to load the same wallet would fail until the wallet
- // is destroyed (see CheckUniqueFileid).
- std::vector<bilingual_str> warnings;
- Optional<bool> load_on_start = request.params[1].isNull() ? nullopt : Optional<bool>(request.params[1].get_bool());
- if (!RemoveWallet(wallet, load_on_start, warnings)) {
- throw JSONRPCError(RPC_MISC_ERROR, "Requested wallet already unloaded");
- }
-
- UnloadWallet(std::move(wallet));
-
- UniValue result(UniValue::VOBJ);
- result.pushKV("warning", Join(warnings, Untranslated("\n")).original);
- return result;
-},
- };
-}
-
-static RPCHelpMan listunspent()
-{
- return RPCHelpMan{
- "listunspent",
- "\nReturns array of unspent transaction outputs\n"
- "with between minconf and maxconf (inclusive) confirmations.\n"
- "Optionally filter to only include txouts paid to specified addresses.\n",
- {
- {"minconf", RPCArg::Type::NUM, /* default */ "1", "The minimum confirmations to filter"},
- {"maxconf", RPCArg::Type::NUM, /* default */ "9999999", "The maximum confirmations to filter"},
- {"addresses", RPCArg::Type::ARR, /* default */ "empty array", "The bitcoin addresses to filter",
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::OMITTED, "bitcoin address"},
- },
- },
- {"include_unsafe", RPCArg::Type::BOOL, /* default */ "true", "Include outputs that are not safe to spend\n"
- "See description of \"safe\" attribute below."},
- {"query_options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "JSON with query options",
- {
- {"minimumAmount", RPCArg::Type::AMOUNT, /* default */ "0", "Minimum value of each UTXO in " + CURRENCY_UNIT + ""},
- {"maximumAmount", RPCArg::Type::AMOUNT, /* default */ "unlimited", "Maximum value of each UTXO in " + CURRENCY_UNIT + ""},
- {"maximumCount", RPCArg::Type::NUM, /* default */ "unlimited", "Maximum number of UTXOs"},
- {"minimumSumAmount", RPCArg::Type::AMOUNT, /* default */ "unlimited", "Minimum sum value of all UTXOs in " + CURRENCY_UNIT + ""},
- },
- "query_options"},
- },
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "txid", "the transaction id"},
- {RPCResult::Type::NUM, "vout", "the vout value"},
- {RPCResult::Type::STR, "address", "the bitcoin address"},
- {RPCResult::Type::STR, "label", "The associated label, or \"\" for the default label"},
- {RPCResult::Type::STR, "scriptPubKey", "the script key"},
- {RPCResult::Type::STR_AMOUNT, "amount", "the transaction output amount in " + CURRENCY_UNIT},
- {RPCResult::Type::NUM, "confirmations", "The number of confirmations"},
- {RPCResult::Type::STR_HEX, "redeemScript", "The redeemScript if scriptPubKey is P2SH"},
- {RPCResult::Type::STR, "witnessScript", "witnessScript if the scriptPubKey is P2WSH or P2SH-P2WSH"},
- {RPCResult::Type::BOOL, "spendable", "Whether we have the private keys to spend this output"},
- {RPCResult::Type::BOOL, "solvable", "Whether we know how to spend this output, ignoring the lack of keys"},
- {RPCResult::Type::BOOL, "reused", "(only present if avoid_reuse is set) Whether this output is reused/dirty (sent to an address that was previously spent from)"},
- {RPCResult::Type::STR, "desc", "(only when solvable) A descriptor for spending this output"},
- {RPCResult::Type::BOOL, "safe", "Whether this output is considered safe to spend. Unconfirmed transactions\n"
- "from outside keys and unconfirmed replacement transactions are considered unsafe\n"
- "and are not eligible for spending by fundrawtransaction and sendtoaddress."},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("listunspent", "")
- + HelpExampleCli("listunspent", "6 9999999 \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"")
- + HelpExampleRpc("listunspent", "6, 9999999 \"[\\\"" + EXAMPLE_ADDRESS[0] + "\\\",\\\"" + EXAMPLE_ADDRESS[1] + "\\\"]\"")
- + HelpExampleCli("listunspent", "6 9999999 '[]' true '{ \"minimumAmount\": 0.005 }'")
- + HelpExampleRpc("listunspent", "6, 9999999, [] , true, { \"minimumAmount\": 0.005 } ")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- int nMinDepth = 1;
- if (!request.params[0].isNull()) {
- RPCTypeCheckArgument(request.params[0], UniValue::VNUM);
- nMinDepth = request.params[0].get_int();
- }
-
- int nMaxDepth = 9999999;
- if (!request.params[1].isNull()) {
- RPCTypeCheckArgument(request.params[1], UniValue::VNUM);
- nMaxDepth = request.params[1].get_int();
- }
-
- std::set<CTxDestination> destinations;
- if (!request.params[2].isNull()) {
- RPCTypeCheckArgument(request.params[2], UniValue::VARR);
- UniValue inputs = request.params[2].get_array();
- for (unsigned int idx = 0; idx < inputs.size(); idx++) {
- const UniValue& input = inputs[idx];
- CTxDestination dest = DecodeDestination(input.get_str());
- if (!IsValidDestination(dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, std::string("Invalid Bitcoin address: ") + input.get_str());
- }
- if (!destinations.insert(dest).second) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, std::string("Invalid parameter, duplicated address: ") + input.get_str());
- }
- }
- }
-
- bool include_unsafe = true;
- if (!request.params[3].isNull()) {
- RPCTypeCheckArgument(request.params[3], UniValue::VBOOL);
- include_unsafe = request.params[3].get_bool();
- }
-
- CAmount nMinimumAmount = 0;
- CAmount nMaximumAmount = MAX_MONEY;
- CAmount nMinimumSumAmount = MAX_MONEY;
- uint64_t nMaximumCount = 0;
-
- if (!request.params[4].isNull()) {
- const UniValue& options = request.params[4].get_obj();
-
- RPCTypeCheckObj(options,
- {
- {"minimumAmount", UniValueType()},
- {"maximumAmount", UniValueType()},
- {"minimumSumAmount", UniValueType()},
- {"maximumCount", UniValueType(UniValue::VNUM)},
- },
- true, true);
-
- if (options.exists("minimumAmount"))
- nMinimumAmount = AmountFromValue(options["minimumAmount"]);
-
- if (options.exists("maximumAmount"))
- nMaximumAmount = AmountFromValue(options["maximumAmount"]);
-
- if (options.exists("minimumSumAmount"))
- nMinimumSumAmount = AmountFromValue(options["minimumSumAmount"]);
-
- if (options.exists("maximumCount"))
- nMaximumCount = options["maximumCount"].get_int64();
- }
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- UniValue results(UniValue::VARR);
- std::vector<COutput> vecOutputs;
- {
- CCoinControl cctl;
- cctl.m_avoid_address_reuse = false;
- cctl.m_min_depth = nMinDepth;
- cctl.m_max_depth = nMaxDepth;
- LOCK(pwallet->cs_wallet);
- pwallet->AvailableCoins(vecOutputs, !include_unsafe, &cctl, nMinimumAmount, nMaximumAmount, nMinimumSumAmount, nMaximumCount);
- }
-
- LOCK(pwallet->cs_wallet);
-
- const bool avoid_reuse = pwallet->IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE);
-
- for (const COutput& out : vecOutputs) {
- CTxDestination address;
- const CScript& scriptPubKey = out.tx->tx->vout[out.i].scriptPubKey;
- bool fValidAddress = ExtractDestination(scriptPubKey, address);
- bool reused = avoid_reuse && pwallet->IsSpentKey(out.tx->GetHash(), out.i);
-
- if (destinations.size() && (!fValidAddress || !destinations.count(address)))
- continue;
-
- UniValue entry(UniValue::VOBJ);
- entry.pushKV("txid", out.tx->GetHash().GetHex());
- entry.pushKV("vout", out.i);
-
- if (fValidAddress) {
- entry.pushKV("address", EncodeDestination(address));
-
- const auto* address_book_entry = pwallet->FindAddressBookEntry(address);
- if (address_book_entry) {
- entry.pushKV("label", address_book_entry->GetLabel());
- }
-
- std::unique_ptr<SigningProvider> provider = pwallet->GetSolvingProvider(scriptPubKey);
- if (provider) {
- if (scriptPubKey.IsPayToScriptHash()) {
- const CScriptID& hash = CScriptID(std::get<ScriptHash>(address));
- CScript redeemScript;
- if (provider->GetCScript(hash, redeemScript)) {
- entry.pushKV("redeemScript", HexStr(redeemScript));
- // Now check if the redeemScript is actually a P2WSH script
- CTxDestination witness_destination;
- if (redeemScript.IsPayToWitnessScriptHash()) {
- bool extracted = ExtractDestination(redeemScript, witness_destination);
- CHECK_NONFATAL(extracted);
- // Also return the witness script
- const WitnessV0ScriptHash& whash = std::get<WitnessV0ScriptHash>(witness_destination);
- CScriptID id;
- CRIPEMD160().Write(whash.begin(), whash.size()).Finalize(id.begin());
- CScript witnessScript;
- if (provider->GetCScript(id, witnessScript)) {
- entry.pushKV("witnessScript", HexStr(witnessScript));
- }
- }
- }
- } else if (scriptPubKey.IsPayToWitnessScriptHash()) {
- const WitnessV0ScriptHash& whash = std::get<WitnessV0ScriptHash>(address);
- CScriptID id;
- CRIPEMD160().Write(whash.begin(), whash.size()).Finalize(id.begin());
- CScript witnessScript;
- if (provider->GetCScript(id, witnessScript)) {
- entry.pushKV("witnessScript", HexStr(witnessScript));
- }
- }
- }
- }
-
- entry.pushKV("scriptPubKey", HexStr(scriptPubKey));
- entry.pushKV("amount", ValueFromAmount(out.tx->tx->vout[out.i].nValue));
- entry.pushKV("confirmations", out.nDepth);
- entry.pushKV("spendable", out.fSpendable);
- entry.pushKV("solvable", out.fSolvable);
- if (out.fSolvable) {
- std::unique_ptr<SigningProvider> provider = pwallet->GetSolvingProvider(scriptPubKey);
- if (provider) {
- auto descriptor = InferDescriptor(scriptPubKey, *provider);
- entry.pushKV("desc", descriptor->ToString());
- }
- }
- if (avoid_reuse) entry.pushKV("reused", reused);
- entry.pushKV("safe", out.fSafe);
- results.push_back(entry);
- }
-
- return results;
-},
- };
-}
-
-void FundTransaction(CWallet* const pwallet, CMutableTransaction& tx, CAmount& fee_out, int& change_position, const UniValue& options, CCoinControl& coinControl, bool override_min_fee)
-{
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- change_position = -1;
- bool lockUnspents = false;
- UniValue subtractFeeFromOutputs;
- std::set<int> setSubtractFeeFromOutputs;
-
- if (!options.isNull()) {
- if (options.type() == UniValue::VBOOL) {
- // backward compatibility bool only fallback
- coinControl.fAllowWatchOnly = options.get_bool();
- }
- else {
- RPCTypeCheckArgument(options, UniValue::VOBJ);
- RPCTypeCheckObj(options,
- {
- {"add_inputs", UniValueType(UniValue::VBOOL)},
- {"add_to_wallet", UniValueType(UniValue::VBOOL)},
- {"changeAddress", UniValueType(UniValue::VSTR)},
- {"change_address", UniValueType(UniValue::VSTR)},
- {"changePosition", UniValueType(UniValue::VNUM)},
- {"change_position", UniValueType(UniValue::VNUM)},
- {"change_type", UniValueType(UniValue::VSTR)},
- {"includeWatching", UniValueType(UniValue::VBOOL)},
- {"include_watching", UniValueType(UniValue::VBOOL)},
- {"inputs", UniValueType(UniValue::VARR)},
- {"lockUnspents", UniValueType(UniValue::VBOOL)},
- {"lock_unspents", UniValueType(UniValue::VBOOL)},
- {"locktime", UniValueType(UniValue::VNUM)},
- {"fee_rate", UniValueType()}, // will be checked by AmountFromValue() in SetFeeEstimateMode()
- {"feeRate", UniValueType()}, // will be checked by AmountFromValue() below
- {"psbt", UniValueType(UniValue::VBOOL)},
- {"subtractFeeFromOutputs", UniValueType(UniValue::VARR)},
- {"subtract_fee_from_outputs", UniValueType(UniValue::VARR)},
- {"replaceable", UniValueType(UniValue::VBOOL)},
- {"conf_target", UniValueType(UniValue::VNUM)},
- {"estimate_mode", UniValueType(UniValue::VSTR)},
- },
- true, true);
-
- if (options.exists("add_inputs") ) {
- coinControl.m_add_inputs = options["add_inputs"].get_bool();
- }
-
- if (options.exists("changeAddress") || options.exists("change_address")) {
- const std::string change_address_str = (options.exists("change_address") ? options["change_address"] : options["changeAddress"]).get_str();
- CTxDestination dest = DecodeDestination(change_address_str);
-
- if (!IsValidDestination(dest)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Change address must be a valid bitcoin address");
- }
-
- coinControl.destChange = dest;
- }
-
- if (options.exists("changePosition") || options.exists("change_position")) {
- change_position = (options.exists("change_position") ? options["change_position"] : options["changePosition"]).get_int();
- }
-
- if (options.exists("change_type")) {
- if (options.exists("changeAddress") || options.exists("change_address")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both change address and address type options");
- }
- OutputType out_type;
- if (!ParseOutputType(options["change_type"].get_str(), out_type)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, strprintf("Unknown change type '%s'", options["change_type"].get_str()));
- }
- coinControl.m_change_type.emplace(out_type);
- }
-
- const UniValue include_watching_option = options.exists("include_watching") ? options["include_watching"] : options["includeWatching"];
- coinControl.fAllowWatchOnly = ParseIncludeWatchonly(include_watching_option, *pwallet);
-
- if (options.exists("lockUnspents") || options.exists("lock_unspents")) {
- lockUnspents = (options.exists("lock_unspents") ? options["lock_unspents"] : options["lockUnspents"]).get_bool();
- }
-
- if (options.exists("feeRate")) {
- if (options.exists("fee_rate")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both fee_rate (" + CURRENCY_ATOM + "/vB) and feeRate (" + CURRENCY_UNIT + "/kvB)");
- }
- if (options.exists("conf_target")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both conf_target and feeRate. Please provide either a confirmation target in blocks for automatic fee estimation, or an explicit fee rate.");
- }
- if (options.exists("estimate_mode")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Cannot specify both estimate_mode and feeRate");
- }
- coinControl.m_feerate = CFeeRate(AmountFromValue(options["feeRate"]));
- coinControl.fOverrideFeeRate = true;
- }
-
- if (options.exists("subtractFeeFromOutputs") || options.exists("subtract_fee_from_outputs") )
- subtractFeeFromOutputs = (options.exists("subtract_fee_from_outputs") ? options["subtract_fee_from_outputs"] : options["subtractFeeFromOutputs"]).get_array();
-
- if (options.exists("replaceable")) {
- coinControl.m_signal_bip125_rbf = options["replaceable"].get_bool();
- }
- SetFeeEstimateMode(*pwallet, coinControl, options["conf_target"], options["estimate_mode"], options["fee_rate"], override_min_fee);
- }
- } else {
- // if options is null and not a bool
- coinControl.fAllowWatchOnly = ParseIncludeWatchonly(NullUniValue, *pwallet);
- }
-
- if (tx.vout.size() == 0)
- throw JSONRPCError(RPC_INVALID_PARAMETER, "TX must have at least one output");
-
- if (change_position != -1 && (change_position < 0 || (unsigned int)change_position > tx.vout.size()))
- throw JSONRPCError(RPC_INVALID_PARAMETER, "changePosition out of bounds");
-
- for (unsigned int idx = 0; idx < subtractFeeFromOutputs.size(); idx++) {
- int pos = subtractFeeFromOutputs[idx].get_int();
- if (setSubtractFeeFromOutputs.count(pos))
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid parameter, duplicated position: %d", pos));
- if (pos < 0)
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid parameter, negative position: %d", pos));
- if (pos >= int(tx.vout.size()))
- throw JSONRPCError(RPC_INVALID_PARAMETER, strprintf("Invalid parameter, position too large: %d", pos));
- setSubtractFeeFromOutputs.insert(pos);
- }
-
- bilingual_str error;
-
- if (!pwallet->FundTransaction(tx, fee_out, change_position, error, lockUnspents, setSubtractFeeFromOutputs, coinControl)) {
- throw JSONRPCError(RPC_WALLET_ERROR, error.original);
- }
-}
-
-static RPCHelpMan fundrawtransaction()
-{
- return RPCHelpMan{"fundrawtransaction",
- "\nIf the transaction has no inputs, they will be automatically selected to meet its out value.\n"
- "It will add at most one change output to the outputs.\n"
- "No existing outputs will be modified unless \"subtractFeeFromOutputs\" is specified.\n"
- "Note that inputs which were signed may need to be resigned after completion since in/outputs have been added.\n"
- "The inputs added will not be signed, use signrawtransactionwithkey\n"
- " or signrawtransactionwithwallet for that.\n"
- "Note that all existing inputs must have their previous output transaction be in the wallet.\n"
- "Note that all inputs selected must be of standard form and P2SH scripts must be\n"
- "in the wallet using importaddress or addmultisigaddress (to calculate fees).\n"
- "You can see whether this is the case by checking the \"solvable\" field in the listunspent output.\n"
- "Only pay-to-pubkey, multisig, and P2SH versions thereof are currently supported for watch-only\n",
- {
- {"hexstring", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The hex string of the raw transaction"},
- {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "for backward compatibility: passing in a true instead of an object will result in {\"includeWatching\":true}",
- {
- {"add_inputs", RPCArg::Type::BOOL, /* default */ "true", "For a transaction with existing inputs, automatically include more if they are not enough."},
- {"changeAddress", RPCArg::Type::STR, /* default */ "pool address", "The bitcoin address to receive the change"},
- {"changePosition", RPCArg::Type::NUM, /* default */ "random", "The index of the change output"},
- {"change_type", RPCArg::Type::STR, /* default */ "set by -changetype", "The output type to use. Only valid if changeAddress is not specified. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
- {"includeWatching", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Also select inputs which are watch only.\n"
- "Only solvable inputs can be used. Watch-only destinations are solvable if the public key and/or output script was imported,\n"
- "e.g. with 'importpubkey' or 'importmulti' with the 'pubkeys' or 'desc' field."},
- {"lockUnspents", RPCArg::Type::BOOL, /* default */ "false", "Lock selected unspent outputs"},
- {"fee_rate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
- {"feeRate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_UNIT + "/kvB."},
- {"subtractFeeFromOutputs", RPCArg::Type::ARR, /* default */ "empty array", "The integers.\n"
- "The fee will be equally deducted from the amount of each specified output.\n"
- "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
- "If no outputs are specified here, the sender pays the fee.",
- {
- {"vout_index", RPCArg::Type::NUM, RPCArg::Optional::OMITTED, "The zero-based output index, before a change output is added."},
- },
- },
- {"replaceable", RPCArg::Type::BOOL, /* default */ "wallet default", "Marks this transaction as BIP125 replaceable.\n"
- "Allows this transaction to be replaced by a transaction with higher fees"},
- {"conf_target", RPCArg::Type::NUM, /* default */ "wallet -txconfirmtarget", "Confirmation target in blocks"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "unset", std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
- " \"" + FeeModes("\"\n\"") + "\""},
- },
- "options"},
- {"iswitness", RPCArg::Type::BOOL, /* default */ "depends on heuristic tests", "Whether the transaction hex is a serialized witness transaction.\n"
- "If iswitness is not present, heuristic tests will be used in decoding.\n"
- "If true, only witness deserialization will be tried.\n"
- "If false, only non-witness deserialization will be tried.\n"
- "This boolean should reflect whether the transaction has inputs\n"
- "(e.g. fully valid, or on-chain transactions), if known by the caller."
- },
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "hex", "The resulting raw transaction (hex-encoded string)"},
- {RPCResult::Type::STR_AMOUNT, "fee", "Fee in " + CURRENCY_UNIT + " the resulting transaction pays"},
- {RPCResult::Type::NUM, "changepos", "The position of the added change output, or -1"},
- }
- },
- RPCExamples{
- "\nCreate a transaction with no inputs\n"
- + HelpExampleCli("createrawtransaction", "\"[]\" \"{\\\"myaddress\\\":0.01}\"") +
- "\nAdd sufficient unsigned inputs to meet the output value\n"
- + HelpExampleCli("fundrawtransaction", "\"rawtransactionhex\"") +
- "\nSign the transaction\n"
- + HelpExampleCli("signrawtransactionwithwallet", "\"fundedtransactionhex\"") +
- "\nSend the transaction\n"
- + HelpExampleCli("sendrawtransaction", "\"signedtransactionhex\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- RPCTypeCheck(request.params, {UniValue::VSTR, UniValueType(), UniValue::VBOOL});
-
- // parse hex string from parameter
- CMutableTransaction tx;
- bool try_witness = request.params[2].isNull() ? true : request.params[2].get_bool();
- bool try_no_witness = request.params[2].isNull() ? true : !request.params[2].get_bool();
- if (!DecodeHexTx(tx, request.params[0].get_str(), try_no_witness, try_witness)) {
- throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "TX decode failed");
- }
-
- CAmount fee;
- int change_position;
- CCoinControl coin_control;
- // Automatically select (additional) coins. Can be overridden by options.add_inputs.
- coin_control.m_add_inputs = true;
- FundTransaction(pwallet, tx, fee, change_position, request.params[1], coin_control, /* override_min_fee */ true);
-
- UniValue result(UniValue::VOBJ);
- result.pushKV("hex", EncodeHexTx(CTransaction(tx)));
- result.pushKV("fee", ValueFromAmount(fee));
- result.pushKV("changepos", change_position);
-
- return result;
-},
- };
-}
-
-RPCHelpMan signrawtransactionwithwallet()
-{
- return RPCHelpMan{"signrawtransactionwithwallet",
- "\nSign inputs for raw transaction (serialized, hex-encoded).\n"
- "The second optional argument (may be null) is an array of previous transaction outputs that\n"
- "this transaction depends on but may not yet be in the block chain." +
- HELP_REQUIRING_PASSPHRASE,
- {
- {"hexstring", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction hex string"},
- {"prevtxs", RPCArg::Type::ARR, RPCArg::Optional::OMITTED_NAMED_ARG, "The previous dependent transaction outputs",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
- {"scriptPubKey", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "script key"},
- {"redeemScript", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, "(required for P2SH) redeem script"},
- {"witnessScript", RPCArg::Type::STR_HEX, RPCArg::Optional::OMITTED, "(required for P2WSH or P2SH-P2WSH) witness script"},
- {"amount", RPCArg::Type::AMOUNT, RPCArg::Optional::OMITTED, "(required for Segwit inputs) the amount spent"},
- },
- },
- },
- },
- {"sighashtype", RPCArg::Type::STR, /* default */ "ALL", "The signature hash type. Must be one of\n"
- " \"ALL\"\n"
- " \"NONE\"\n"
- " \"SINGLE\"\n"
- " \"ALL|ANYONECANPAY\"\n"
- " \"NONE|ANYONECANPAY\"\n"
- " \"SINGLE|ANYONECANPAY\""},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "hex", "The hex-encoded raw transaction with signature(s)"},
- {RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
- {RPCResult::Type::ARR, "errors", /* optional */ true, "Script verification errors (if there are any)",
- {
- {RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR_HEX, "txid", "The hash of the referenced, previous transaction"},
- {RPCResult::Type::NUM, "vout", "The index of the output to spent and used as input"},
- {RPCResult::Type::STR_HEX, "scriptSig", "The hex-encoded signature script"},
- {RPCResult::Type::NUM, "sequence", "Script sequence number"},
- {RPCResult::Type::STR, "error", "Verification or signing error related to the input"},
- }},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("signrawtransactionwithwallet", "\"myhex\"")
- + HelpExampleRpc("signrawtransactionwithwallet", "\"myhex\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- RPCTypeCheck(request.params, {UniValue::VSTR, UniValue::VARR, UniValue::VSTR}, true);
-
- CMutableTransaction mtx;
- if (!DecodeHexTx(mtx, request.params[0].get_str())) {
- throw JSONRPCError(RPC_DESERIALIZATION_ERROR, "TX decode failed. Make sure the tx has at least one input.");
- }
-
- // Sign the transaction
- LOCK(pwallet->cs_wallet);
- EnsureWalletIsUnlocked(pwallet);
-
- // Fetch previous transactions (inputs):
- std::map<COutPoint, Coin> coins;
- for (const CTxIn& txin : mtx.vin) {
- coins[txin.prevout]; // Create empty map entry keyed by prevout.
- }
- pwallet->chain().findCoins(coins);
-
- // Parse the prevtxs array
- ParsePrevouts(request.params[1], nullptr, coins);
-
- int nHashType = ParseSighashString(request.params[2]);
-
- // Script verification errors
- std::map<int, std::string> input_errors;
-
- bool complete = pwallet->SignTransaction(mtx, coins, nHashType, input_errors);
- UniValue result(UniValue::VOBJ);
- SignTransactionResultToJSON(mtx, complete, coins, input_errors, result);
- return result;
-},
- };
-}
-
-static RPCHelpMan bumpfee_helper(std::string method_name)
-{
- bool want_psbt = method_name == "psbtbumpfee";
- const std::string incremental_fee{CFeeRate(DEFAULT_INCREMENTAL_RELAY_FEE).ToString(FeeEstimateMode::SAT_VB)};
-
- return RPCHelpMan{method_name,
- "\nBumps the fee of an opt-in-RBF transaction T, replacing it with a new transaction B.\n"
- + std::string(want_psbt ? "Returns a PSBT instead of creating and signing a new transaction.\n" : "") +
- "An opt-in RBF transaction with the given txid must be in the wallet.\n"
- "The command will pay the additional fee by reducing change outputs or adding inputs when necessary.\n"
- "It may add a new change output if one does not already exist.\n"
- "All inputs in the original transaction will be included in the replacement transaction.\n"
- "The command will fail if the wallet or mempool contains a transaction that spends one of T's outputs.\n"
- "By default, the new fee will be calculated automatically using the estimatesmartfee RPC.\n"
- "The user can specify a confirmation target for estimatesmartfee.\n"
- "Alternatively, the user can specify a fee rate in " + CURRENCY_ATOM + "/vB for the new transaction.\n"
- "At a minimum, the new fee rate must be high enough to pay an additional new relay fee (incrementalfee\n"
- "returned by getnetworkinfo) to enter the node's mempool.\n"
- "* WARNING: before version 0.21, fee_rate was in " + CURRENCY_UNIT + "/kvB. As of 0.21, fee_rate is in " + CURRENCY_ATOM + "/vB. *\n",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The txid to be bumped"},
- {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "",
- {
- {"conf_target", RPCArg::Type::NUM, /* default */ "wallet -txconfirmtarget", "Confirmation target in blocks\n"},
- {"fee_rate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation",
- "\nSpecify a fee rate in " + CURRENCY_ATOM + "/vB instead of relying on the built-in fee estimator.\n"
- "Must be at least " + incremental_fee + " higher than the current transaction fee rate.\n"
- "WARNING: before version 0.21, fee_rate was in " + CURRENCY_UNIT + "/kvB. As of 0.21, fee_rate is in " + CURRENCY_ATOM + "/vB.\n"},
- {"replaceable", RPCArg::Type::BOOL, /* default */ "true", "Whether the new transaction should still be\n"
- "marked bip-125 replaceable. If true, the sequence numbers in the transaction will\n"
- "be left unchanged from the original. If false, any input sequence numbers in the\n"
- "original transaction that were less than 0xfffffffe will be increased to 0xfffffffe\n"
- "so the new transaction will not be explicitly bip-125 replaceable (though it may\n"
- "still be replaceable in practice, for example if it has unconfirmed ancestors which\n"
- "are replaceable).\n"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "unset", std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
- " \"" + FeeModes("\"\n\"") + "\""},
- },
- "options"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "", Cat(Cat<std::vector<RPCResult>>(
- {
- {RPCResult::Type::STR, "psbt", "The base64-encoded unsigned PSBT of the new transaction." + std::string(want_psbt ? "" : " Only returned when wallet private keys are disabled. (DEPRECATED)")},
- },
- want_psbt ? std::vector<RPCResult>{} : std::vector<RPCResult>{{RPCResult::Type::STR_HEX, "txid", "The id of the new transaction. Only returned when wallet private keys are enabled."}}
- ),
- {
- {RPCResult::Type::STR_AMOUNT, "origfee", "The fee of the replaced transaction."},
- {RPCResult::Type::STR_AMOUNT, "fee", "The fee of the new transaction."},
- {RPCResult::Type::ARR, "errors", "Errors encountered during processing (may be empty).",
- {
- {RPCResult::Type::STR, "", ""},
- }},
- })
- },
- RPCExamples{
- "\nBump the fee, get the new transaction\'s" + std::string(want_psbt ? "psbt" : "txid") + "\n" +
- HelpExampleCli(method_name, "<txid>")
- },
- [want_psbt](const RPCHelpMan& self, const JSONRPCRequest& request) mutable -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && !want_psbt) {
- throw JSONRPCError(RPC_WALLET_ERROR, "bumpfee is not available with wallets that have private keys disabled. Use psbtbumpfee instead.");
- }
-
- RPCTypeCheck(request.params, {UniValue::VSTR, UniValue::VOBJ});
- uint256 hash(ParseHashV(request.params[0], "txid"));
-
- CCoinControl coin_control;
- coin_control.fAllowWatchOnly = pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
- // optional parameters
- coin_control.m_signal_bip125_rbf = true;
-
- if (!request.params[1].isNull()) {
- UniValue options = request.params[1];
- RPCTypeCheckObj(options,
- {
- {"confTarget", UniValueType(UniValue::VNUM)},
- {"conf_target", UniValueType(UniValue::VNUM)},
- {"fee_rate", UniValueType()}, // will be checked by AmountFromValue() in SetFeeEstimateMode()
- {"replaceable", UniValueType(UniValue::VBOOL)},
- {"estimate_mode", UniValueType(UniValue::VSTR)},
- },
- true, true);
-
- if (options.exists("confTarget") && options.exists("conf_target")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "confTarget and conf_target options should not both be set. Use conf_target (confTarget is deprecated).");
- }
-
- auto conf_target = options.exists("confTarget") ? options["confTarget"] : options["conf_target"];
-
- if (options.exists("replaceable")) {
- coin_control.m_signal_bip125_rbf = options["replaceable"].get_bool();
- }
- SetFeeEstimateMode(*pwallet, coin_control, conf_target, options["estimate_mode"], options["fee_rate"], /* override_min_fee */ false);
- }
-
- // Make sure the results are valid at least up to the most recent block
- // the user could have gotten from another RPC command prior to now
- pwallet->BlockUntilSyncedToCurrentChain();
-
- LOCK(pwallet->cs_wallet);
- EnsureWalletIsUnlocked(pwallet);
-
-
- std::vector<bilingual_str> errors;
- CAmount old_fee;
- CAmount new_fee;
- CMutableTransaction mtx;
- feebumper::Result res;
- // Targeting feerate bump.
- res = feebumper::CreateRateBumpTransaction(*pwallet, hash, coin_control, errors, old_fee, new_fee, mtx);
- if (res != feebumper::Result::OK) {
- switch(res) {
- case feebumper::Result::INVALID_ADDRESS_OR_KEY:
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, errors[0].original);
- break;
- case feebumper::Result::INVALID_REQUEST:
- throw JSONRPCError(RPC_INVALID_REQUEST, errors[0].original);
- break;
- case feebumper::Result::INVALID_PARAMETER:
- throw JSONRPCError(RPC_INVALID_PARAMETER, errors[0].original);
- break;
- case feebumper::Result::WALLET_ERROR:
- throw JSONRPCError(RPC_WALLET_ERROR, errors[0].original);
- break;
- default:
- throw JSONRPCError(RPC_MISC_ERROR, errors[0].original);
- break;
- }
- }
-
- UniValue result(UniValue::VOBJ);
-
- // If wallet private keys are enabled, return the new transaction id,
- // otherwise return the base64-encoded unsigned PSBT of the new transaction.
- if (!want_psbt) {
- if (!feebumper::SignTransaction(*pwallet, mtx)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Can't sign transaction.");
- }
-
- uint256 txid;
- if (feebumper::CommitTransaction(*pwallet, hash, std::move(mtx), errors, txid) != feebumper::Result::OK) {
- throw JSONRPCError(RPC_WALLET_ERROR, errors[0].original);
- }
-
- result.pushKV("txid", txid.GetHex());
- } else {
- PartiallySignedTransaction psbtx(mtx);
- bool complete = false;
- const TransactionError err = pwallet->FillPSBT(psbtx, complete, SIGHASH_ALL, false /* sign */, true /* bip32derivs */);
- CHECK_NONFATAL(err == TransactionError::OK);
- CHECK_NONFATAL(!complete);
- CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
- ssTx << psbtx;
- result.pushKV("psbt", EncodeBase64(ssTx.str()));
- }
-
- result.pushKV("origfee", ValueFromAmount(old_fee));
- result.pushKV("fee", ValueFromAmount(new_fee));
- UniValue result_errors(UniValue::VARR);
- for (const bilingual_str& error : errors) {
- result_errors.push_back(error.original);
- }
- result.pushKV("errors", result_errors);
-
- return result;
-},
- };
-}
-
-static RPCHelpMan bumpfee() { return bumpfee_helper("bumpfee"); }
-static RPCHelpMan psbtbumpfee() { return bumpfee_helper("psbtbumpfee"); }
-
-static RPCHelpMan rescanblockchain()
-{
- return RPCHelpMan{"rescanblockchain",
- "\nRescan the local blockchain for wallet related transactions.\n"
- "Note: Use \"getwalletinfo\" to query the scanning progress.\n",
- {
- {"start_height", RPCArg::Type::NUM, /* default */ "0", "block height where the rescan should start"},
- {"stop_height", RPCArg::Type::NUM, RPCArg::Optional::OMITTED_NAMED_ARG, "the last block height that should be scanned. If none is provided it will rescan up to the tip at return time of this call."},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::NUM, "start_height", "The block height where the rescan started (the requested height or 0)"},
- {RPCResult::Type::NUM, "stop_height", "The height of the last rescanned block. May be null in rare cases if there was a reorg and the call didn't scan any blocks because they were already scanned in the background."},
- }
- },
- RPCExamples{
- HelpExampleCli("rescanblockchain", "100000 120000")
- + HelpExampleRpc("rescanblockchain", "100000, 120000")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- WalletRescanReserver reserver(*pwallet);
- if (!reserver.reserve()) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Wallet is currently rescanning. Abort existing rescan or wait.");
- }
-
- int start_height = 0;
- Optional<int> stop_height;
- uint256 start_block;
- {
- LOCK(pwallet->cs_wallet);
- int tip_height = pwallet->GetLastBlockHeight();
-
- if (!request.params[0].isNull()) {
- start_height = request.params[0].get_int();
- if (start_height < 0 || start_height > tip_height) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid start_height");
- }
- }
-
- if (!request.params[1].isNull()) {
- stop_height = request.params[1].get_int();
- if (*stop_height < 0 || *stop_height > tip_height) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid stop_height");
- } else if (*stop_height < start_height) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "stop_height must be greater than start_height");
- }
- }
-
- // We can't rescan beyond non-pruned blocks, stop and throw an error
- if (!pwallet->chain().hasBlocks(pwallet->GetLastBlockHash(), start_height, stop_height)) {
- throw JSONRPCError(RPC_MISC_ERROR, "Can't rescan beyond pruned data. Use RPC call getblockchaininfo to determine your pruned height.");
- }
-
- CHECK_NONFATAL(pwallet->chain().findAncestorByHeight(pwallet->GetLastBlockHash(), start_height, FoundBlock().hash(start_block)));
- }
-
- CWallet::ScanResult result =
- pwallet->ScanForWalletTransactions(start_block, start_height, stop_height, reserver, true /* fUpdate */);
- switch (result.status) {
- case CWallet::ScanResult::SUCCESS:
- break;
- case CWallet::ScanResult::FAILURE:
- throw JSONRPCError(RPC_MISC_ERROR, "Rescan failed. Potentially corrupted data files.");
- case CWallet::ScanResult::USER_ABORT:
- throw JSONRPCError(RPC_MISC_ERROR, "Rescan aborted.");
- // no default case, so the compiler can warn about missing cases
- }
- UniValue response(UniValue::VOBJ);
- response.pushKV("start_height", start_height);
- response.pushKV("stop_height", result.last_scanned_height ? *result.last_scanned_height : UniValue());
- return response;
-},
- };
-}
-
-class DescribeWalletAddressVisitor
-{
-public:
- const SigningProvider * const provider;
-
- void ProcessSubScript(const CScript& subscript, UniValue& obj) const
- {
- // Always present: script type and redeemscript
- std::vector<std::vector<unsigned char>> solutions_data;
- TxoutType which_type = Solver(subscript, solutions_data);
- obj.pushKV("script", GetTxnOutputType(which_type));
- obj.pushKV("hex", HexStr(subscript));
-
- CTxDestination embedded;
- if (ExtractDestination(subscript, embedded)) {
- // Only when the script corresponds to an address.
- UniValue subobj(UniValue::VOBJ);
- UniValue detail = DescribeAddress(embedded);
- subobj.pushKVs(detail);
- UniValue wallet_detail = std::visit(*this, embedded);
- subobj.pushKVs(wallet_detail);
- subobj.pushKV("address", EncodeDestination(embedded));
- subobj.pushKV("scriptPubKey", HexStr(subscript));
- // Always report the pubkey at the top level, so that `getnewaddress()['pubkey']` always works.
- if (subobj.exists("pubkey")) obj.pushKV("pubkey", subobj["pubkey"]);
- obj.pushKV("embedded", std::move(subobj));
- } else if (which_type == TxoutType::MULTISIG) {
- // Also report some information on multisig scripts (which do not have a corresponding address).
- // TODO: abstract out the common functionality between this logic and ExtractDestinations.
- obj.pushKV("sigsrequired", solutions_data[0][0]);
- UniValue pubkeys(UniValue::VARR);
- for (size_t i = 1; i < solutions_data.size() - 1; ++i) {
- CPubKey key(solutions_data[i].begin(), solutions_data[i].end());
- pubkeys.push_back(HexStr(key));
- }
- obj.pushKV("pubkeys", std::move(pubkeys));
- }
- }
-
- explicit DescribeWalletAddressVisitor(const SigningProvider* _provider) : provider(_provider) {}
-
- UniValue operator()(const CNoDestination& dest) const { return UniValue(UniValue::VOBJ); }
-
- UniValue operator()(const PKHash& pkhash) const
- {
- CKeyID keyID{ToKeyID(pkhash)};
- UniValue obj(UniValue::VOBJ);
- CPubKey vchPubKey;
- if (provider && provider->GetPubKey(keyID, vchPubKey)) {
- obj.pushKV("pubkey", HexStr(vchPubKey));
- obj.pushKV("iscompressed", vchPubKey.IsCompressed());
- }
- return obj;
- }
-
- UniValue operator()(const ScriptHash& scripthash) const
- {
- CScriptID scriptID(scripthash);
- UniValue obj(UniValue::VOBJ);
- CScript subscript;
- if (provider && provider->GetCScript(scriptID, subscript)) {
- ProcessSubScript(subscript, obj);
- }
- return obj;
- }
-
- UniValue operator()(const WitnessV0KeyHash& id) const
- {
- UniValue obj(UniValue::VOBJ);
- CPubKey pubkey;
- if (provider && provider->GetPubKey(ToKeyID(id), pubkey)) {
- obj.pushKV("pubkey", HexStr(pubkey));
- }
- return obj;
- }
-
- UniValue operator()(const WitnessV0ScriptHash& id) const
- {
- UniValue obj(UniValue::VOBJ);
- CScript subscript;
- CRIPEMD160 hasher;
- uint160 hash;
- hasher.Write(id.begin(), 32).Finalize(hash.begin());
- if (provider && provider->GetCScript(CScriptID(hash), subscript)) {
- ProcessSubScript(subscript, obj);
- }
- return obj;
- }
-
- UniValue operator()(const WitnessUnknown& id) const { return UniValue(UniValue::VOBJ); }
-};
-
-static UniValue DescribeWalletAddress(const CWallet* const pwallet, const CTxDestination& dest)
-{
- UniValue ret(UniValue::VOBJ);
- UniValue detail = DescribeAddress(dest);
- CScript script = GetScriptForDestination(dest);
- std::unique_ptr<SigningProvider> provider = nullptr;
- if (pwallet) {
- provider = pwallet->GetSolvingProvider(script);
- }
- ret.pushKVs(detail);
- ret.pushKVs(std::visit(DescribeWalletAddressVisitor(provider.get()), dest));
- return ret;
-}
-
-/** Convert CAddressBookData to JSON record. */
-static UniValue AddressBookDataToJSON(const CAddressBookData& data, const bool verbose)
-{
- UniValue ret(UniValue::VOBJ);
- if (verbose) {
- ret.pushKV("name", data.GetLabel());
- }
- ret.pushKV("purpose", data.purpose);
- return ret;
-}
-
-RPCHelpMan getaddressinfo()
-{
- return RPCHelpMan{"getaddressinfo",
- "\nReturn information about the given bitcoin address.\n"
- "Some of the information will only be present if the address is in the active wallet.\n",
- {
- {"address", RPCArg::Type::STR, RPCArg::Optional::NO, "The bitcoin address for which to get information."},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "address", "The bitcoin address validated."},
- {RPCResult::Type::STR_HEX, "scriptPubKey", "The hex-encoded scriptPubKey generated by the address."},
- {RPCResult::Type::BOOL, "ismine", "If the address is yours."},
- {RPCResult::Type::BOOL, "iswatchonly", "If the address is watchonly."},
- {RPCResult::Type::BOOL, "solvable", "If we know how to spend coins sent to this address, ignoring the possible lack of private keys."},
- {RPCResult::Type::STR, "desc", /* optional */ true, "A descriptor for spending coins sent to this address (only when solvable)."},
- {RPCResult::Type::STR, "parent_desc", /* optional */ true, "The descriptor used to derive this address if this is a descriptor wallet"},
- {RPCResult::Type::BOOL, "isscript", "If the key is a script."},
- {RPCResult::Type::BOOL, "ischange", "If the address was used for change output."},
- {RPCResult::Type::BOOL, "iswitness", "If the address is a witness address."},
- {RPCResult::Type::NUM, "witness_version", /* optional */ true, "The version number of the witness program."},
- {RPCResult::Type::STR_HEX, "witness_program", /* optional */ true, "The hex value of the witness program."},
- {RPCResult::Type::STR, "script", /* optional */ true, "The output script type. Only if isscript is true and the redeemscript is known. Possible\n"
- "types: nonstandard, pubkey, pubkeyhash, scripthash, multisig, nulldata, witness_v0_keyhash,\n"
- "witness_v0_scripthash, witness_unknown."},
- {RPCResult::Type::STR_HEX, "hex", /* optional */ true, "The redeemscript for the p2sh address."},
- {RPCResult::Type::ARR, "pubkeys", /* optional */ true, "Array of pubkeys associated with the known redeemscript (only if script is multisig).",
- {
- {RPCResult::Type::STR, "pubkey", ""},
- }},
- {RPCResult::Type::NUM, "sigsrequired", /* optional */ true, "The number of signatures required to spend multisig output (only if script is multisig)."},
- {RPCResult::Type::STR_HEX, "pubkey", /* optional */ true, "The hex value of the raw public key for single-key addresses (possibly embedded in P2SH or P2WSH)."},
- {RPCResult::Type::OBJ, "embedded", /* optional */ true, "Information about the address embedded in P2SH or P2WSH, if relevant and known.",
- {
- {RPCResult::Type::ELISION, "", "Includes all getaddressinfo output fields for the embedded address, excluding metadata (timestamp, hdkeypath, hdseedid)\n"
- "and relation to the wallet (ismine, iswatchonly)."},
- }},
- {RPCResult::Type::BOOL, "iscompressed", /* optional */ true, "If the pubkey is compressed."},
- {RPCResult::Type::NUM_TIME, "timestamp", /* optional */ true, "The creation time of the key, if available, expressed in " + UNIX_EPOCH_TIME + "."},
- {RPCResult::Type::STR, "hdkeypath", /* optional */ true, "The HD keypath, if the key is HD and available."},
- {RPCResult::Type::STR_HEX, "hdseedid", /* optional */ true, "The Hash160 of the HD seed."},
- {RPCResult::Type::STR_HEX, "hdmasterfingerprint", /* optional */ true, "The fingerprint of the master key."},
- {RPCResult::Type::ARR, "labels", "Array of labels associated with the address. Currently limited to one label but returned\n"
- "as an array to keep the API stable if multiple labels are enabled in the future.",
- {
- {RPCResult::Type::STR, "label name", "Label name (defaults to \"\")."},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("getaddressinfo", "\"" + EXAMPLE_ADDRESS[0] + "\"") +
- HelpExampleRpc("getaddressinfo", "\"" + EXAMPLE_ADDRESS[0] + "\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- std::string error_msg;
- CTxDestination dest = DecodeDestination(request.params[0].get_str(), error_msg);
-
- // Make sure the destination is valid
- if (!IsValidDestination(dest)) {
- // Set generic error message in case 'DecodeDestination' didn't set it
- if (error_msg.empty()) error_msg = "Invalid address";
-
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, error_msg);
- }
-
- UniValue ret(UniValue::VOBJ);
-
- std::string currentAddress = EncodeDestination(dest);
- ret.pushKV("address", currentAddress);
-
- CScript scriptPubKey = GetScriptForDestination(dest);
- ret.pushKV("scriptPubKey", HexStr(scriptPubKey));
-
- std::unique_ptr<SigningProvider> provider = pwallet->GetSolvingProvider(scriptPubKey);
-
- isminetype mine = pwallet->IsMine(dest);
- ret.pushKV("ismine", bool(mine & ISMINE_SPENDABLE));
-
- bool solvable = provider && IsSolvable(*provider, scriptPubKey);
- ret.pushKV("solvable", solvable);
-
- if (solvable) {
- ret.pushKV("desc", InferDescriptor(scriptPubKey, *provider)->ToString());
- }
-
- DescriptorScriptPubKeyMan* desc_spk_man = dynamic_cast<DescriptorScriptPubKeyMan*>(pwallet->GetScriptPubKeyMan(scriptPubKey));
- if (desc_spk_man) {
- std::string desc_str;
- if (desc_spk_man->GetDescriptorString(desc_str, false)) {
- ret.pushKV("parent_desc", desc_str);
- }
- }
-
- ret.pushKV("iswatchonly", bool(mine & ISMINE_WATCH_ONLY));
-
- UniValue detail = DescribeWalletAddress(pwallet, dest);
- ret.pushKVs(detail);
-
- ret.pushKV("ischange", pwallet->IsChange(scriptPubKey));
-
- ScriptPubKeyMan* spk_man = pwallet->GetScriptPubKeyMan(scriptPubKey);
- if (spk_man) {
- if (const std::unique_ptr<CKeyMetadata> meta = spk_man->GetMetadata(dest)) {
- ret.pushKV("timestamp", meta->nCreateTime);
- if (meta->has_key_origin) {
- ret.pushKV("hdkeypath", WriteHDKeypath(meta->key_origin.path));
- ret.pushKV("hdseedid", meta->hd_seed_id.GetHex());
- ret.pushKV("hdmasterfingerprint", HexStr(meta->key_origin.fingerprint));
- }
- }
- }
-
- // Return a `labels` array containing the label associated with the address,
- // equivalent to the `label` field above. Currently only one label can be
- // associated with an address, but we return an array so the API remains
- // stable if we allow multiple labels to be associated with an address in
- // the future.
- UniValue labels(UniValue::VARR);
- const auto* address_book_entry = pwallet->FindAddressBookEntry(dest);
- if (address_book_entry) {
- labels.push_back(address_book_entry->GetLabel());
- }
- ret.pushKV("labels", std::move(labels));
-
- return ret;
-},
- };
-}
-
-static RPCHelpMan getaddressesbylabel()
-{
- return RPCHelpMan{"getaddressesbylabel",
- "\nReturns the list of addresses assigned the specified label.\n",
- {
- {"label", RPCArg::Type::STR, RPCArg::Optional::NO, "The label."},
- },
- RPCResult{
- RPCResult::Type::OBJ_DYN, "", "json object with addresses as keys",
- {
- {RPCResult::Type::OBJ, "address", "json object with information about address",
- {
- {RPCResult::Type::STR, "purpose", "Purpose of address (\"send\" for sending address, \"receive\" for receiving address)"},
- }},
- }
- },
- RPCExamples{
- HelpExampleCli("getaddressesbylabel", "\"tabby\"")
- + HelpExampleRpc("getaddressesbylabel", "\"tabby\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- std::string label = LabelFromValue(request.params[0]);
-
- // Find all addresses that have the given label
- UniValue ret(UniValue::VOBJ);
- std::set<std::string> addresses;
- for (const std::pair<const CTxDestination, CAddressBookData>& item : pwallet->m_address_book) {
- if (item.second.IsChange()) continue;
- if (item.second.GetLabel() == label) {
- std::string address = EncodeDestination(item.first);
- // CWallet::m_address_book is not expected to contain duplicate
- // address strings, but build a separate set as a precaution just in
- // case it does.
- bool unique = addresses.emplace(address).second;
- CHECK_NONFATAL(unique);
- // UniValue::pushKV checks if the key exists in O(N)
- // and since duplicate addresses are unexpected (checked with
- // std::set in O(log(N))), UniValue::__pushKV is used instead,
- // which currently is O(1).
- ret.__pushKV(address, AddressBookDataToJSON(item.second, false));
- }
- }
-
- if (ret.empty()) {
- throw JSONRPCError(RPC_WALLET_INVALID_LABEL_NAME, std::string("No addresses with label " + label));
- }
-
- return ret;
-},
- };
-}
-
-static RPCHelpMan listlabels()
-{
- return RPCHelpMan{"listlabels",
- "\nReturns the list of all labels, or labels that are assigned to addresses with a specific purpose.\n",
- {
- {"purpose", RPCArg::Type::STR, RPCArg::Optional::OMITTED_NAMED_ARG, "Address purpose to list labels for ('send','receive'). An empty string is the same as not providing this argument."},
- },
- RPCResult{
- RPCResult::Type::ARR, "", "",
- {
- {RPCResult::Type::STR, "label", "Label name"},
- }
- },
- RPCExamples{
- "\nList all labels\n"
- + HelpExampleCli("listlabels", "") +
- "\nList labels that have receiving addresses\n"
- + HelpExampleCli("listlabels", "receive") +
- "\nList labels that have sending addresses\n"
- + HelpExampleCli("listlabels", "send") +
- "\nAs a JSON-RPC call\n"
- + HelpExampleRpc("listlabels", "receive")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- LOCK(pwallet->cs_wallet);
-
- std::string purpose;
- if (!request.params[0].isNull()) {
- purpose = request.params[0].get_str();
- }
-
- // Add to a set to sort by label name, then insert into Univalue array
- std::set<std::string> label_set;
- for (const std::pair<const CTxDestination, CAddressBookData>& entry : pwallet->m_address_book) {
- if (entry.second.IsChange()) continue;
- if (purpose.empty() || entry.second.purpose == purpose) {
- label_set.insert(entry.second.GetLabel());
- }
- }
-
- UniValue ret(UniValue::VARR);
- for (const std::string& name : label_set) {
- ret.push_back(name);
- }
-
- return ret;
-},
- };
-}
-
-static RPCHelpMan send()
-{
- return RPCHelpMan{"send",
- "\nEXPERIMENTAL warning: this call may be changed in future releases.\n"
- "\nSend a transaction.\n",
- {
- {"outputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The outputs (key-value pairs), where none of the keys are duplicated.\n"
- "That is, each address can only appear once and there can only be one 'data' object.\n"
- "For convenience, a dictionary, which holds the key-value pairs directly, is also accepted.",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "A key-value pair. The key (string) is the bitcoin address, the value (float or string) is the amount in " + CURRENCY_UNIT + ""},
- },
- },
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"data", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "A key-value pair. The key must be \"data\", the value is hex-encoded data"},
- },
- },
- },
- },
- {"conf_target", RPCArg::Type::NUM, /* default */ "wallet -txconfirmtarget", "Confirmation target in blocks"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "unset", std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
- " \"" + FeeModes("\"\n\"") + "\""},
- {"fee_rate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
- {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "",
- {
- {"add_inputs", RPCArg::Type::BOOL, /* default */ "false", "If inputs are specified, automatically include more if they are not enough."},
- {"add_to_wallet", RPCArg::Type::BOOL, /* default */ "true", "When false, returns a serialized transaction which will not be added to the wallet or broadcast"},
- {"change_address", RPCArg::Type::STR_HEX, /* default */ "pool address", "The bitcoin address to receive the change"},
- {"change_position", RPCArg::Type::NUM, /* default */ "random", "The index of the change output"},
- {"change_type", RPCArg::Type::STR, /* default */ "set by -changetype", "The output type to use. Only valid if change_address is not specified. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
- {"conf_target", RPCArg::Type::NUM, /* default */ "wallet -txconfirmtarget", "Confirmation target in blocks"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "unset", std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
- " \"" + FeeModes("\"\n\"") + "\""},
- {"fee_rate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
- {"include_watching", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Also select inputs which are watch only.\n"
- "Only solvable inputs can be used. Watch-only destinations are solvable if the public key and/or output script was imported,\n"
- "e.g. with 'importpubkey' or 'importmulti' with the 'pubkeys' or 'desc' field."},
- {"inputs", RPCArg::Type::ARR, /* default */ "empty array", "Specify inputs instead of adding them automatically. A JSON array of JSON objects",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
- {"sequence", RPCArg::Type::NUM, RPCArg::Optional::NO, "The sequence number"},
- },
- },
- {"locktime", RPCArg::Type::NUM, /* default */ "0", "Raw locktime. Non-0 value also locktime-activates inputs"},
- {"lock_unspents", RPCArg::Type::BOOL, /* default */ "false", "Lock selected unspent outputs"},
- {"psbt", RPCArg::Type::BOOL, /* default */ "automatic", "Always return a PSBT, implies add_to_wallet=false."},
- {"subtract_fee_from_outputs", RPCArg::Type::ARR, /* default */ "empty array", "Outputs to subtract the fee from, specified as integer indices.\n"
- "The fee will be equally deducted from the amount of each specified output.\n"
- "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
- "If no outputs are specified here, the sender pays the fee.",
- {
- {"vout_index", RPCArg::Type::NUM, RPCArg::Optional::OMITTED, "The zero-based output index, before a change output is added."},
- },
- },
- {"replaceable", RPCArg::Type::BOOL, /* default */ "wallet default", "Marks this transaction as BIP125 replaceable.\n"
- "Allows this transaction to be replaced by a transaction with higher fees"},
- },
- "options"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
- {RPCResult::Type::STR_HEX, "txid", "The transaction id for the send. Only 1 transaction is created regardless of the number of addresses."},
- {RPCResult::Type::STR_HEX, "hex", "If add_to_wallet is false, the hex-encoded raw transaction with signature(s)"},
- {RPCResult::Type::STR, "psbt", "If more signatures are needed, or if add_to_wallet is false, the base64-encoded (partially) signed transaction"}
- }
- },
- RPCExamples{""
- "\nSend 0.1 BTC with a confirmation target of 6 blocks in economical fee estimate mode\n"
- + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.1}' 6 economical\n") +
- "Send 0.2 BTC with a fee rate of 1.1 " + CURRENCY_ATOM + "/vB using positional arguments\n"
- + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.2}' null \"unset\" 1.1\n") +
- "Send 0.2 BTC with a fee rate of 1 " + CURRENCY_ATOM + "/vB using the options argument\n"
- + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.2}' null \"unset\" null '{\"fee_rate\": 1}'\n") +
- "Send 0.3 BTC with a fee rate of 25 " + CURRENCY_ATOM + "/vB using named arguments\n"
- + HelpExampleCli("-named send", "outputs='{\"" + EXAMPLE_ADDRESS[0] + "\": 0.3}' fee_rate=25\n") +
- "Create a transaction that should confirm the next block, with a specific input, and return result without adding to wallet or broadcasting to the network\n"
- + HelpExampleCli("send", "'{\"" + EXAMPLE_ADDRESS[0] + "\": 0.1}' 1 economical '{\"add_to_wallet\": false, \"inputs\": [{\"txid\":\"a08e6907dbbd3d809776dbfc5d82e371b764ed838b5655e72f463568df1aadf0\", \"vout\":1}]}'")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
- {
- RPCTypeCheck(request.params, {
- UniValueType(), // outputs (ARR or OBJ, checked later)
- UniValue::VNUM, // conf_target
- UniValue::VSTR, // estimate_mode
- UniValueType(), // fee_rate, will be checked by AmountFromValue() in SetFeeEstimateMode()
- UniValue::VOBJ, // options
- }, true
- );
-
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- UniValue options{request.params[4].isNull() ? UniValue::VOBJ : request.params[4]};
- if (options.exists("conf_target") || options.exists("estimate_mode")) {
- if (!request.params[1].isNull() || !request.params[2].isNull()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Pass conf_target and estimate_mode either as arguments or in the options object, but not both");
- }
- } else {
- options.pushKV("conf_target", request.params[1]);
- options.pushKV("estimate_mode", request.params[2]);
- }
- if (options.exists("fee_rate")) {
- if (!request.params[3].isNull()) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Pass the fee_rate either as an argument, or in the options object, but not both");
- }
- } else {
- options.pushKV("fee_rate", request.params[3]);
- }
- if (!options["conf_target"].isNull() && (options["estimate_mode"].isNull() || (options["estimate_mode"].get_str() == "unset"))) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Specify estimate_mode");
- }
- if (options.exists("feeRate")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Use fee_rate (" + CURRENCY_ATOM + "/vB) instead of feeRate");
- }
- if (options.exists("changeAddress")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Use change_address");
- }
- if (options.exists("changePosition")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Use change_position");
- }
- if (options.exists("includeWatching")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Use include_watching");
- }
- if (options.exists("lockUnspents")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Use lock_unspents");
- }
- if (options.exists("subtractFeeFromOutputs")) {
- throw JSONRPCError(RPC_INVALID_PARAMETER, "Use subtract_fee_from_outputs");
- }
-
- const bool psbt_opt_in = options.exists("psbt") && options["psbt"].get_bool();
-
- CAmount fee;
- int change_position;
- bool rbf = pwallet->m_signal_rbf;
- if (options.exists("replaceable")) {
- rbf = options["replaceable"].get_bool();
- }
- CMutableTransaction rawTx = ConstructTransaction(options["inputs"], request.params[0], options["locktime"], rbf);
- CCoinControl coin_control;
- // Automatically select coins, unless at least one is manually selected. Can
- // be overridden by options.add_inputs.
- coin_control.m_add_inputs = rawTx.vin.size() == 0;
- FundTransaction(pwallet, rawTx, fee, change_position, options, coin_control, /* override_min_fee */ false);
-
- bool add_to_wallet = true;
- if (options.exists("add_to_wallet")) {
- add_to_wallet = options["add_to_wallet"].get_bool();
- }
-
- // Make a blank psbt
- PartiallySignedTransaction psbtx(rawTx);
-
- // First fill transaction with our data without signing,
- // so external signers are not asked sign more than once.
- bool complete;
- pwallet->FillPSBT(psbtx, complete, SIGHASH_ALL, false, true);
- const TransactionError err = pwallet->FillPSBT(psbtx, complete, SIGHASH_ALL, true, false);
- if (err != TransactionError::OK) {
- throw JSONRPCTransactionError(err);
- }
-
- CMutableTransaction mtx;
- complete = FinalizeAndExtractPSBT(psbtx, mtx);
-
- UniValue result(UniValue::VOBJ);
-
- if (psbt_opt_in || !complete || !add_to_wallet) {
- // Serialize the PSBT
- CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
- ssTx << psbtx;
- result.pushKV("psbt", EncodeBase64(ssTx.str()));
- }
-
- if (complete) {
- std::string err_string;
- std::string hex = EncodeHexTx(CTransaction(mtx));
- CTransactionRef tx(MakeTransactionRef(std::move(mtx)));
- result.pushKV("txid", tx->GetHash().GetHex());
- if (add_to_wallet && !psbt_opt_in) {
- pwallet->CommitTransaction(tx, {}, {} /* orderForm */);
- } else {
- result.pushKV("hex", hex);
- }
- }
- result.pushKV("complete", complete);
-
- return result;
- }
- };
-}
-
-static RPCHelpMan sethdseed()
-{
- return RPCHelpMan{"sethdseed",
- "\nSet or generate a new HD wallet seed. Non-HD wallets will not be upgraded to being a HD wallet. Wallets that are already\n"
- "HD will have a new HD seed set so that new keys added to the keypool will be derived from this new seed.\n"
- "\nNote that you will need to MAKE A NEW BACKUP of your wallet after setting the HD wallet seed." +
- HELP_REQUIRING_PASSPHRASE,
- {
- {"newkeypool", RPCArg::Type::BOOL, /* default */ "true", "Whether to flush old unused addresses, including change addresses, from the keypool and regenerate it.\n"
- "If true, the next address from getnewaddress and change address from getrawchangeaddress will be from this new seed.\n"
- "If false, addresses (including change addresses if the wallet already had HD Chain Split enabled) from the existing\n"
- "keypool will be used until it has been depleted."},
- {"seed", RPCArg::Type::STR, /* default */ "random seed", "The WIF private key to use as the new HD seed.\n"
- "The seed value can be retrieved using the dumpwallet command. It is the private key marked hdseed=1"},
- },
- RPCResult{RPCResult::Type::NONE, "", ""},
- RPCExamples{
- HelpExampleCli("sethdseed", "")
- + HelpExampleCli("sethdseed", "false")
- + HelpExampleCli("sethdseed", "true \"wifkey\"")
- + HelpExampleRpc("sethdseed", "true, \"wifkey\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- LegacyScriptPubKeyMan& spk_man = EnsureLegacyScriptPubKeyMan(*pwallet, true);
-
- if (pwallet->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Cannot set a HD seed to a wallet with private keys disabled");
- }
-
- LOCK2(pwallet->cs_wallet, spk_man.cs_KeyStore);
-
- // Do not do anything to non-HD wallets
- if (!pwallet->CanSupportFeature(FEATURE_HD)) {
- throw JSONRPCError(RPC_WALLET_ERROR, "Cannot set an HD seed on a non-HD wallet. Use the upgradewallet RPC in order to upgrade a non-HD wallet to HD");
- }
-
- EnsureWalletIsUnlocked(pwallet);
-
- bool flush_key_pool = true;
- if (!request.params[0].isNull()) {
- flush_key_pool = request.params[0].get_bool();
- }
-
- CPubKey master_pub_key;
- if (request.params[1].isNull()) {
- master_pub_key = spk_man.GenerateNewSeed();
- } else {
- CKey key = DecodeSecret(request.params[1].get_str());
- if (!key.IsValid()) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Invalid private key");
- }
-
- if (HaveKey(spk_man, key)) {
- throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Already have this key (either as an HD seed or as a loose private key)");
- }
-
- master_pub_key = spk_man.DeriveNewSeed(key);
- }
-
- spk_man.SetHDSeed(master_pub_key);
- if (flush_key_pool) spk_man.NewKeyPool();
-
- return NullUniValue;
-},
- };
-}
-
-static RPCHelpMan walletprocesspsbt()
-{
- return RPCHelpMan{"walletprocesspsbt",
- "\nUpdate a PSBT with input information from our wallet and then sign inputs\n"
- "that we can sign for." +
- HELP_REQUIRING_PASSPHRASE,
- {
- {"psbt", RPCArg::Type::STR, RPCArg::Optional::NO, "The transaction base64 string"},
- {"sign", RPCArg::Type::BOOL, /* default */ "true", "Also sign the transaction when updating"},
- {"sighashtype", RPCArg::Type::STR, /* default */ "ALL", "The signature hash type to sign with if not specified by the PSBT. Must be one of\n"
- " \"ALL\"\n"
- " \"NONE\"\n"
- " \"SINGLE\"\n"
- " \"ALL|ANYONECANPAY\"\n"
- " \"NONE|ANYONECANPAY\"\n"
- " \"SINGLE|ANYONECANPAY\""},
- {"bip32derivs", RPCArg::Type::BOOL, /* default */ "true", "Include BIP 32 derivation paths for public keys if we know them"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "psbt", "The base64-encoded partially signed transaction"},
- {RPCResult::Type::BOOL, "complete", "If the transaction has a complete set of signatures"},
- }
- },
- RPCExamples{
- HelpExampleCli("walletprocesspsbt", "\"psbt\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- const CWallet* const pwallet = wallet.get();
-
- RPCTypeCheck(request.params, {UniValue::VSTR, UniValue::VBOOL, UniValue::VSTR});
-
- // Unserialize the transaction
- PartiallySignedTransaction psbtx;
- std::string error;
- if (!DecodeBase64PSBT(psbtx, request.params[0].get_str(), error)) {
- throw JSONRPCError(RPC_DESERIALIZATION_ERROR, strprintf("TX decode failed %s", error));
- }
-
- // Get the sighash type
- int nHashType = ParseSighashString(request.params[2]);
-
- // Fill transaction with our data and also sign
- bool sign = request.params[1].isNull() ? true : request.params[1].get_bool();
- bool bip32derivs = request.params[3].isNull() ? true : request.params[3].get_bool();
- bool complete = true;
- const TransactionError err = pwallet->FillPSBT(psbtx, complete, nHashType, sign, bip32derivs);
- if (err != TransactionError::OK) {
- throw JSONRPCTransactionError(err);
- }
-
- UniValue result(UniValue::VOBJ);
- CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
- ssTx << psbtx;
- result.pushKV("psbt", EncodeBase64(ssTx.str()));
- result.pushKV("complete", complete);
-
- return result;
-},
- };
-}
-
-static RPCHelpMan walletcreatefundedpsbt()
-{
- return RPCHelpMan{"walletcreatefundedpsbt",
- "\nCreates and funds a transaction in the Partially Signed Transaction format.\n"
- "Implements the Creator and Updater roles.\n",
- {
- {"inputs", RPCArg::Type::ARR, RPCArg::Optional::OMITTED_NAMED_ARG, "Leave empty to add inputs automatically. See add_inputs option.",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"txid", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "The transaction id"},
- {"vout", RPCArg::Type::NUM, RPCArg::Optional::NO, "The output number"},
- {"sequence", RPCArg::Type::NUM, /* default */ "depends on the value of the 'locktime' and 'options.replaceable' arguments", "The sequence number"},
- },
- },
- },
- },
- {"outputs", RPCArg::Type::ARR, RPCArg::Optional::NO, "The outputs (key-value pairs), where none of the keys are duplicated.\n"
- "That is, each address can only appear once and there can only be one 'data' object.\n"
- "For compatibility reasons, a dictionary, which holds the key-value pairs directly, is also\n"
- "accepted as second parameter.",
- {
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"address", RPCArg::Type::AMOUNT, RPCArg::Optional::NO, "A key-value pair. The key (string) is the bitcoin address, the value (float or string) is the amount in " + CURRENCY_UNIT + ""},
- },
- },
- {"", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED, "",
- {
- {"data", RPCArg::Type::STR_HEX, RPCArg::Optional::NO, "A key-value pair. The key must be \"data\", the value is hex-encoded data"},
- },
- },
- },
- },
- {"locktime", RPCArg::Type::NUM, /* default */ "0", "Raw locktime. Non-0 value also locktime-activates inputs"},
- {"options", RPCArg::Type::OBJ, RPCArg::Optional::OMITTED_NAMED_ARG, "",
- {
- {"add_inputs", RPCArg::Type::BOOL, /* default */ "false", "If inputs are specified, automatically include more if they are not enough."},
- {"changeAddress", RPCArg::Type::STR_HEX, /* default */ "pool address", "The bitcoin address to receive the change"},
- {"changePosition", RPCArg::Type::NUM, /* default */ "random", "The index of the change output"},
- {"change_type", RPCArg::Type::STR, /* default */ "set by -changetype", "The output type to use. Only valid if changeAddress is not specified. Options are \"legacy\", \"p2sh-segwit\", and \"bech32\"."},
- {"includeWatching", RPCArg::Type::BOOL, /* default */ "true for watch-only wallets, otherwise false", "Also select inputs which are watch only"},
- {"lockUnspents", RPCArg::Type::BOOL, /* default */ "false", "Lock selected unspent outputs"},
- {"fee_rate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_ATOM + "/vB."},
- {"feeRate", RPCArg::Type::AMOUNT, /* default */ "not set, fall back to wallet fee estimation", "Specify a fee rate in " + CURRENCY_UNIT + "/kvB."},
- {"subtractFeeFromOutputs", RPCArg::Type::ARR, /* default */ "empty array", "The outputs to subtract the fee from.\n"
- "The fee will be equally deducted from the amount of each specified output.\n"
- "Those recipients will receive less bitcoins than you enter in their corresponding amount field.\n"
- "If no outputs are specified here, the sender pays the fee.",
- {
- {"vout_index", RPCArg::Type::NUM, RPCArg::Optional::OMITTED, "The zero-based output index, before a change output is added."},
- },
- },
- {"replaceable", RPCArg::Type::BOOL, /* default */ "wallet default", "Marks this transaction as BIP125 replaceable.\n"
- "Allows this transaction to be replaced by a transaction with higher fees"},
- {"conf_target", RPCArg::Type::NUM, /* default */ "wallet -txconfirmtarget", "Confirmation target in blocks"},
- {"estimate_mode", RPCArg::Type::STR, /* default */ "unset", std::string() + "The fee estimate mode, must be one of (case insensitive):\n"
- " \"" + FeeModes("\"\n\"") + "\""},
- },
- "options"},
- {"bip32derivs", RPCArg::Type::BOOL, /* default */ "true", "Include BIP 32 derivation paths for public keys if we know them"},
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "psbt", "The resulting raw transaction (base64-encoded string)"},
- {RPCResult::Type::STR_AMOUNT, "fee", "Fee in " + CURRENCY_UNIT + " the resulting transaction pays"},
- {RPCResult::Type::NUM, "changepos", "The position of the added change output, or -1"},
- }
- },
- RPCExamples{
- "\nCreate a transaction with no inputs\n"
- + HelpExampleCli("walletcreatefundedpsbt", "\"[{\\\"txid\\\":\\\"myid\\\",\\\"vout\\\":0}]\" \"[{\\\"data\\\":\\\"00010203\\\"}]\"")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- RPCTypeCheck(request.params, {
- UniValue::VARR,
- UniValueType(), // ARR or OBJ, checked later
- UniValue::VNUM,
- UniValue::VOBJ,
- UniValue::VBOOL
- }, true
- );
-
- CAmount fee;
- int change_position;
- bool rbf = pwallet->m_signal_rbf;
- const UniValue &replaceable_arg = request.params[3]["replaceable"];
- if (!replaceable_arg.isNull()) {
- RPCTypeCheckArgument(replaceable_arg, UniValue::VBOOL);
- rbf = replaceable_arg.isTrue();
- }
- CMutableTransaction rawTx = ConstructTransaction(request.params[0], request.params[1], request.params[2], rbf);
- CCoinControl coin_control;
- // Automatically select coins, unless at least one is manually selected. Can
- // be overridden by options.add_inputs.
- coin_control.m_add_inputs = rawTx.vin.size() == 0;
- FundTransaction(pwallet, rawTx, fee, change_position, request.params[3], coin_control, /* override_min_fee */ true);
-
- // Make a blank psbt
- PartiallySignedTransaction psbtx(rawTx);
-
- // Fill transaction with out data but don't sign
- bool bip32derivs = request.params[4].isNull() ? true : request.params[4].get_bool();
- bool complete = true;
- const TransactionError err = pwallet->FillPSBT(psbtx, complete, 1, false, bip32derivs);
- if (err != TransactionError::OK) {
- throw JSONRPCTransactionError(err);
- }
-
- // Serialize the PSBT
- CDataStream ssTx(SER_NETWORK, PROTOCOL_VERSION);
- ssTx << psbtx;
-
- UniValue result(UniValue::VOBJ);
- result.pushKV("psbt", EncodeBase64(ssTx.str()));
- result.pushKV("fee", ValueFromAmount(fee));
- result.pushKV("changepos", change_position);
- return result;
-},
- };
-}
-
-static RPCHelpMan upgradewallet()
-{
- return RPCHelpMan{"upgradewallet",
- "\nUpgrade the wallet. Upgrades to the latest version if no version number is specified.\n"
- "New keys may be generated and a new wallet backup will need to be made.",
- {
- {"version", RPCArg::Type::NUM, /* default */ strprintf("%d", FEATURE_LATEST), "The version number to upgrade to. Default is the latest wallet version."}
- },
- RPCResult{
- RPCResult::Type::OBJ, "", "",
- {
- {RPCResult::Type::STR, "wallet_name", "Name of wallet this operation was performed on"},
- {RPCResult::Type::NUM, "previous_version", "Version of wallet before this operation"},
- {RPCResult::Type::NUM, "current_version", "Version of wallet after this operation"},
- {RPCResult::Type::STR, "result", /* optional */ true, "Description of result, if no error"},
- {RPCResult::Type::STR, "error", /* optional */ true, "Error message (if there is one)"}
- },
- },
- RPCExamples{
- HelpExampleCli("upgradewallet", "169900")
- + HelpExampleRpc("upgradewallet", "169900")
- },
- [&](const RPCHelpMan& self, const JSONRPCRequest& request) -> UniValue
-{
- std::shared_ptr<CWallet> const wallet = GetWalletForJSONRPCRequest(request);
- if (!wallet) return NullUniValue;
- CWallet* const pwallet = wallet.get();
-
- RPCTypeCheck(request.params, {UniValue::VNUM}, true);
-
- EnsureWalletIsUnlocked(pwallet);
-
- int version = 0;
- if (!request.params[0].isNull()) {
- version = request.params[0].get_int();
- }
- bilingual_str error;
- const int previous_version{pwallet->GetVersion()};
- const bool wallet_upgraded{pwallet->UpgradeWallet(version, error)};
- const int current_version{pwallet->GetVersion()};
- std::string result;
-
- if (wallet_upgraded) {
- if (previous_version == current_version) {
- result = "Already at latest version. Wallet version unchanged.";
- } else {
- result = strprintf("Wallet upgraded successfully from version %i to version %i.", previous_version, current_version);
- }
- }
-
- UniValue obj(UniValue::VOBJ);
- obj.pushKV("wallet_name", pwallet->GetName());
- obj.pushKV("previous_version", previous_version);
- obj.pushKV("current_version", current_version);
- if (!result.empty()) {
- obj.pushKV("result", result);
- } else {
- CHECK_NONFATAL(!error.empty());
- obj.pushKV("error", error.original);
- }
- return obj;
-},
- };
-}
-
-RPCHelpMan abortrescan();
-RPCHelpMan dumpprivkey();
-RPCHelpMan importprivkey();
-RPCHelpMan importaddress();
-RPCHelpMan importpubkey();
-RPCHelpMan dumpwallet();
-RPCHelpMan importwallet();
-RPCHelpMan importprunedfunds();
-RPCHelpMan removeprunedfunds();
-RPCHelpMan importmulti();
-RPCHelpMan importdescriptors();
-RPCHelpMan listdescriptors();
-
-Span<const CRPCCommand> GetWalletRPCCommands()
-{
-// clang-format off
-static const CRPCCommand commands[] =
-{ // category actor (function)
- // ------------------ ------------------------
- { "rawtransactions", &fundrawtransaction, },
- { "wallet", &abandontransaction, },
- { "wallet", &abortrescan, },
- { "wallet", &addmultisigaddress, },
- { "wallet", &backupwallet, },
- { "wallet", &bumpfee, },
- { "wallet", &psbtbumpfee, },
- { "wallet", &createwallet, },
- { "wallet", &dumpprivkey, },
- { "wallet", &dumpwallet, },
- { "wallet", &encryptwallet, },
- { "wallet", &getaddressesbylabel, },
- { "wallet", &getaddressinfo, },
- { "wallet", &getbalance, },
- { "wallet", &getnewaddress, },
- { "wallet", &getrawchangeaddress, },
- { "wallet", &getreceivedbyaddress, },
- { "wallet", &getreceivedbylabel, },
- { "wallet", &gettransaction, },
- { "wallet", &getunconfirmedbalance, },
- { "wallet", &getbalances, },
- { "wallet", &getwalletinfo, },
- { "wallet", &importaddress, },
- { "wallet", &importdescriptors, },
- { "wallet", &importmulti, },
- { "wallet", &importprivkey, },
- { "wallet", &importprunedfunds, },
- { "wallet", &importpubkey, },
- { "wallet", &importwallet, },
- { "wallet", &keypoolrefill, },
- { "wallet", &listaddressgroupings, },
- { "wallet", &listdescriptors, },
- { "wallet", &listlabels, },
- { "wallet", &listlockunspent, },
- { "wallet", &listreceivedbyaddress, },
- { "wallet", &listreceivedbylabel, },
- { "wallet", &listsinceblock, },
- { "wallet", &listtransactions, },
- { "wallet", &listunspent, },
- { "wallet", &listwalletdir, },
- { "wallet", &listwallets, },
- { "wallet", &loadwallet, },
- { "wallet", &lockunspent, },
- { "wallet", &removeprunedfunds, },
- { "wallet", &rescanblockchain, },
- { "wallet", &send, },
- { "wallet", &sendmany, },
- { "wallet", &sendtoaddress, },
- { "wallet", &sethdseed, },
- { "wallet", &setlabel, },
- { "wallet", &settxfee, },
- { "wallet", &setwalletflag, },
- { "wallet", &signmessage, },
- { "wallet", &signrawtransactionwithwallet, },
- { "wallet", &unloadwallet, },
- { "wallet", &upgradewallet, },
- { "wallet", &walletcreatefundedpsbt, },
- { "wallet", &walletlock, },
- { "wallet", &walletpassphrase, },
- { "wallet", &walletpassphrasechange, },
- { "wallet", &walletprocesspsbt, },
-};
-// clang-format on
- return MakeSpan(commands);
-}
diff --git a/src/wallet/rpcwallet.h b/src/wallet/rpcwallet.h
deleted file mode 100644
index 184a16e91d..0000000000
--- a/src/wallet/rpcwallet.h
+++ /dev/null
@@ -1,39 +0,0 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
-// Distributed under the MIT software license, see the accompanying
-// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-
-#ifndef BITCOIN_WALLET_RPCWALLET_H
-#define BITCOIN_WALLET_RPCWALLET_H
-
-#include <span.h>
-
-#include <memory>
-#include <string>
-#include <vector>
-
-class CRPCCommand;
-class CWallet;
-class JSONRPCRequest;
-class LegacyScriptPubKeyMan;
-class UniValue;
-class CTransaction;
-struct PartiallySignedTransaction;
-struct WalletContext;
-
-Span<const CRPCCommand> GetWalletRPCCommands();
-
-/**
- * Figures out what wallet, if any, to use for a JSONRPCRequest.
- *
- * @param[in] request JSONRPCRequest that wishes to access a wallet
- * @return nullptr if no wallet should be used, or a pointer to the CWallet
- */
-std::shared_ptr<CWallet> GetWalletForJSONRPCRequest(const JSONRPCRequest& request);
-
-void EnsureWalletIsUnlocked(const CWallet*);
-WalletContext& EnsureWalletContext(const util::Ref& context);
-LegacyScriptPubKeyMan& EnsureLegacyScriptPubKeyMan(CWallet& wallet, bool also_create = false);
-
-RPCHelpMan getaddressinfo();
-RPCHelpMan signrawtransactionwithwallet();
-#endif //BITCOIN_WALLET_RPCWALLET_H
diff --git a/src/wallet/salvage.cpp b/src/wallet/salvage.cpp
index 09a9ec68cd..1ecc96fe0e 100644
--- a/src/wallet/salvage.cpp
+++ b/src/wallet/salvage.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,6 +11,7 @@
#include <wallet/wallet.h>
#include <wallet/walletdb.h>
+namespace wallet {
/* End of headers, beginning of key/value data */
static const char *HEADER_END = "HEADER=END";
/* End of key/value data */
@@ -45,7 +46,7 @@ bool RecoverDatabaseFile(const fs::path& file_path, bilingual_str& error, std::v
// Call Salvage with fAggressive=true to
// get as much data as possible.
// Rewrite salvaged data to fresh wallet file
- // Set -rescan so any missing transactions will be
+ // Rescan so any missing transactions will be
// found.
int64_t now = GetTime();
std::string newFilename = strprintf("%s.%d.bak", filename, now);
@@ -119,7 +120,7 @@ bool RecoverDatabaseFile(const fs::path& file_path, bilingual_str& error, std::v
return false;
}
- std::unique_ptr<Db> pdbCopy = MakeUnique<Db>(env->dbenv.get(), 0);
+ std::unique_ptr<Db> pdbCopy = std::make_unique<Db>(env->dbenv.get(), 0);
int ret = pdbCopy->open(nullptr, // Txn pointer
filename.c_str(), // Filename
"main", // Logical db name
@@ -133,7 +134,7 @@ bool RecoverDatabaseFile(const fs::path& file_path, bilingual_str& error, std::v
}
DbTxn* ptxn = env->TxnBegin();
- CWallet dummyWallet(nullptr, "", CreateDummyWalletDatabase());
+ CWallet dummyWallet(nullptr, "", gArgs, CreateDummyWalletDatabase());
for (KeyValPair& row : salvagedData)
{
/* Filter for only private key type KV pairs to be added to the salvaged wallet */
@@ -154,8 +155,8 @@ bool RecoverDatabaseFile(const fs::path& file_path, bilingual_str& error, std::v
warnings.push_back(strprintf(Untranslated("WARNING: WalletBatch::Recover skipping %s: %s"), strType, strErr));
continue;
}
- Dbt datKey(&row.first[0], row.first.size());
- Dbt datValue(&row.second[0], row.second.size());
+ Dbt datKey(row.first.data(), row.first.size());
+ Dbt datValue(row.second.data(), row.second.size());
int ret2 = pdbCopy->put(ptxn, &datKey, &datValue, DB_NOOVERWRITE);
if (ret2 > 0)
fSuccess = false;
@@ -165,3 +166,4 @@ bool RecoverDatabaseFile(const fs::path& file_path, bilingual_str& error, std::v
return fSuccess;
}
+} // namespace wallet
diff --git a/src/wallet/salvage.h b/src/wallet/salvage.h
index 5a8538f942..332aceb262 100644
--- a/src/wallet/salvage.h
+++ b/src/wallet/salvage.h
@@ -11,6 +11,8 @@
struct bilingual_str;
+namespace wallet {
bool RecoverDatabaseFile(const fs::path& file_path, bilingual_str& error, std::vector<bilingual_str>& warnings);
+} // namespace wallet
#endif // BITCOIN_WALLET_SALVAGE_H
diff --git a/src/wallet/scriptpubkeyman.cpp b/src/wallet/scriptpubkeyman.cpp
index efb408c163..7218ed11dc 100644
--- a/src/wallet/scriptpubkeyman.cpp
+++ b/src/wallet/scriptpubkeyman.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,21 +13,29 @@
#include <util/system.h>
#include <util/time.h>
#include <util/translation.h>
-#include <wallet/external_signer.h>
#include <wallet/scriptpubkeyman.h>
+#include <optional>
+
+namespace wallet {
//! Value for the first BIP 32 hardened derivation. Can be used as a bit mask and as a value. See BIP 32 for more details.
const uint32_t BIP32_HARDENED_KEY_LIMIT = 0x80000000;
-bool LegacyScriptPubKeyMan::GetNewDestination(const OutputType type, CTxDestination& dest, std::string& error)
+bool LegacyScriptPubKeyMan::GetNewDestination(const OutputType type, CTxDestination& dest, bilingual_str& error)
{
+ if (LEGACY_OUTPUT_TYPES.count(type) == 0) {
+ error = _("Error: Legacy wallets only support the \"legacy\", \"p2sh-segwit\", and \"bech32\" address types");
+ return false;
+ }
+ assert(type != OutputType::BECH32M);
+
LOCK(cs_KeyStore);
error.clear();
// Generate a new key that is added to wallet
CPubKey new_key;
if (!GetKeyFromPool(new_key, type)) {
- error = _("Error: Keypool ran out, please call keypoolrefill first").translated;
+ error = _("Error: Keypool ran out, please call keypoolrefill first");
return false;
}
LearnRelatedScripts(new_key, type);
@@ -82,7 +90,7 @@ bool HaveKeys(const std::vector<valtype>& pubkeys, const LegacyScriptPubKeyMan&
//! Recursively solve script and return spendable/watchonly/invalid status.
//!
//! @param keystore legacy key and script store
-//! @param script script to solve
+//! @param scriptPubKey script to solve
//! @param sigversion script type (top-level / redeemscript / witnessscript)
//! @param recurse_scripthash whether to recurse into nested p2sh and p2wsh
//! scripts or simply treat any script that has been
@@ -160,7 +168,7 @@ IsMineResult IsMineInner(const LegacyScriptPubKeyMan& keystore, const CScript& s
break;
}
uint160 hash;
- CRIPEMD160().Write(&vSolutions[0][0], vSolutions[0].size()).Finalize(hash.begin());
+ CRIPEMD160().Write(vSolutions[0].data(), vSolutions[0].size()).Finalize(hash.begin());
CScriptID scriptID = CScriptID(hash);
CScript subscript;
if (keystore.GetCScript(scriptID, subscript)) {
@@ -288,14 +296,22 @@ bool LegacyScriptPubKeyMan::Encrypt(const CKeyingMaterial& master_key, WalletBat
return true;
}
-bool LegacyScriptPubKeyMan::GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool)
+bool LegacyScriptPubKeyMan::GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool, bilingual_str& error)
{
+ if (LEGACY_OUTPUT_TYPES.count(type) == 0) {
+ error = _("Error: Legacy wallets only support the \"legacy\", \"p2sh-segwit\", and \"bech32\" address types");
+ return false;
+ }
+ assert(type != OutputType::BECH32M);
+
LOCK(cs_KeyStore);
if (!CanGetAddresses(internal)) {
+ error = _("Error: Keypool ran out, please call keypoolrefill first");
return false;
}
if (!ReserveKeyFromKeyPool(index, keypool, internal)) {
+ error = _("Error: Keypool ran out, please call keypoolrefill first");
return false;
}
address = GetDestinationForKey(keypool.vchPubKey, type);
@@ -316,7 +332,7 @@ bool LegacyScriptPubKeyMan::TopUpInactiveHDChain(const CKeyID seed_id, int64_t i
CHDChain& chain = it->second;
// Top up key pool
- int64_t target_size = std::max(gArgs.GetArg("-keypool", DEFAULT_KEYPOOL_SIZE), (int64_t) 1);
+ int64_t target_size = std::max(gArgs.GetIntArg("-keypool", DEFAULT_KEYPOOL_SIZE), (int64_t) 1);
// "size" of the keypools. Not really the size, actually the difference between index and the chain counter
// Since chain counter is 1 based and index is 0 based, one of them needs to be offset by 1.
@@ -339,15 +355,22 @@ bool LegacyScriptPubKeyMan::TopUpInactiveHDChain(const CKeyID seed_id, int64_t i
return true;
}
-void LegacyScriptPubKeyMan::MarkUnusedAddresses(const CScript& script)
+std::vector<WalletDestination> LegacyScriptPubKeyMan::MarkUnusedAddresses(const CScript& script)
{
LOCK(cs_KeyStore);
+ std::vector<WalletDestination> result;
// extract addresses and check if they match with an unused keypool key
for (const auto& keyid : GetAffectedKeys(script, *this)) {
std::map<CKeyID, int64_t>::const_iterator mi = m_pool_key_to_index.find(keyid);
if (mi != m_pool_key_to_index.end()) {
WalletLogPrintf("%s: Detected a used keypool key, mark all keypool keys up to this key as used\n", __func__);
- MarkReserveKeysAsUsed(mi->second);
+ for (const auto& keypool : MarkReserveKeysAsUsed(mi->second)) {
+ // derive all possible destinations as any of them could have been used
+ for (const auto& type : LEGACY_OUTPUT_TYPES) {
+ const auto& dest = GetDestinationForKey(keypool.vchPubKey, type);
+ result.push_back({dest, keypool.fInternal});
+ }
+ }
if (!TopUp()) {
WalletLogPrintf("%s: Topping up keypool failed (locked wallet)\n", __func__);
@@ -369,6 +392,8 @@ void LegacyScriptPubKeyMan::MarkUnusedAddresses(const CScript& script)
}
}
}
+
+ return result;
}
void LegacyScriptPubKeyMan::UpgradeKeyMetadata()
@@ -378,14 +403,14 @@ void LegacyScriptPubKeyMan::UpgradeKeyMetadata()
return;
}
- std::unique_ptr<WalletBatch> batch = MakeUnique<WalletBatch>(m_storage.GetDatabase());
+ std::unique_ptr<WalletBatch> batch = std::make_unique<WalletBatch>(m_storage.GetDatabase());
for (auto& meta_pair : mapKeyMetadata) {
CKeyMetadata& meta = meta_pair.second;
if (!meta.hd_seed_id.IsNull() && !meta.has_key_origin && meta.hdKeypath != "s") { // If the hdKeypath is "s", that's the seed and it doesn't have a key origin
CKey key;
GetKey(meta.hd_seed_id, key);
CExtKey masterKey;
- masterKey.SetSeed(key.begin(), key.size());
+ masterKey.SetSeed(key);
// Add to map
CKeyID master_id = masterKey.key.GetPubKey().GetID();
std::copy(master_id.begin(), master_id.begin() + 4, meta.key_origin.fingerprint);
@@ -474,7 +499,7 @@ bool LegacyScriptPubKeyMan::Upgrade(int prev_version, int new_version, bilingual
}
// Regenerate the keypool if upgraded to HD
if (hd_upgrade) {
- if (!TopUp()) {
+ if (!NewKeyPool()) {
error = _("Unable to generate keys");
return false;
}
@@ -513,7 +538,7 @@ static int64_t GetOldestKeyTimeInPool(const std::set<int64_t>& setKeyPool, Walle
return keypool.nTime;
}
-int64_t LegacyScriptPubKeyMan::GetOldestKeyPoolTime() const
+std::optional<int64_t> LegacyScriptPubKeyMan::GetOldestKeyPoolTime() const
{
LOCK(cs_KeyStore);
@@ -551,7 +576,7 @@ int64_t LegacyScriptPubKeyMan::GetTimeFirstKey() const
std::unique_ptr<SigningProvider> LegacyScriptPubKeyMan::GetSolvingProvider(const CScript& script) const
{
- return MakeUnique<LegacySigningProvider>(*this);
+ return std::make_unique<LegacySigningProvider>(*this);
}
bool LegacyScriptPubKeyMan::CanProvide(const CScript& script, SignatureData& sigdata)
@@ -577,7 +602,7 @@ bool LegacyScriptPubKeyMan::CanProvide(const CScript& script, SignatureData& sig
}
}
-bool LegacyScriptPubKeyMan::SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors) const
+bool LegacyScriptPubKeyMan::SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors) const
{
return ::SignTransaction(tx, this, coins, sighash, input_errors);
}
@@ -595,7 +620,7 @@ SigningResult LegacyScriptPubKeyMan::SignMessage(const std::string& message, con
return SigningResult::SIGNING_FAILED;
}
-TransactionError LegacyScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psbtx, int sighash_type, bool sign, bool bip32derivs, int* n_signed) const
+TransactionError LegacyScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psbtx, const PrecomputedTransactionData& txdata, int sighash_type, bool sign, bool bip32derivs, int* n_signed, bool finalize) const
{
if (n_signed) {
*n_signed = 0;
@@ -609,7 +634,7 @@ TransactionError LegacyScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psb
}
// Get the Sighash type
- if (sign && input.sighash_type > 0 && input.sighash_type != sighash_type) {
+ if (sign && input.sighash_type != std::nullopt && *input.sighash_type != sighash_type) {
return TransactionError::SIGHASH_MISMATCH;
}
@@ -624,7 +649,7 @@ TransactionError LegacyScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psb
}
SignatureData sigdata;
input.FillSignatureData(sigdata);
- SignPSBTInput(HidingSigningProvider(this, !sign, !bip32derivs), psbtx, i, sighash_type);
+ SignPSBTInput(HidingSigningProvider(this, !sign, !bip32derivs), psbtx, i, &txdata, sighash_type, nullptr, finalize);
bool signed_one = PSBTInputSigned(input);
if (n_signed && (signed_one || !sign)) {
@@ -651,14 +676,14 @@ std::unique_ptr<CKeyMetadata> LegacyScriptPubKeyMan::GetMetadata(const CTxDestin
if (!key_id.IsNull()) {
auto it = mapKeyMetadata.find(key_id);
if (it != mapKeyMetadata.end()) {
- return MakeUnique<CKeyMetadata>(it->second);
+ return std::make_unique<CKeyMetadata>(it->second);
}
}
CScript scriptPubKey = GetScriptForDestination(dest);
auto it = m_script_metadata.find(CScriptID(scriptPubKey));
if (it != m_script_metadata.end()) {
- return MakeUnique<CKeyMetadata>(it->second);
+ return std::make_unique<CKeyMetadata>(it->second);
}
return nullptr;
@@ -1070,7 +1095,7 @@ void LegacyScriptPubKeyMan::DeriveNewChildKey(WalletBatch &batch, CKeyMetadata&
if (!GetKey(hd_chain.seed_id, seed))
throw std::runtime_error(std::string(__func__) + ": seed not found");
- masterKey.SetSeed(seed.begin(), seed.size());
+ masterKey.SetSeed(seed);
// derive m/0'
// use hardened derivation (child keys >= 0x80000000 are hardened after bip32)
@@ -1244,7 +1269,7 @@ bool LegacyScriptPubKeyMan::TopUp(unsigned int kpSize)
if (kpSize > 0)
nTargetSize = kpSize;
else
- nTargetSize = std::max(gArgs.GetArg("-keypool", DEFAULT_KEYPOOL_SIZE), (int64_t) 0);
+ nTargetSize = std::max(gArgs.GetIntArg("-keypool", DEFAULT_KEYPOOL_SIZE), (int64_t) 0);
// count amount of available keys (internal, external)
// make sure the keypool of external and internal keys fits the user selected target (-keypool)
@@ -1293,6 +1318,7 @@ void LegacyScriptPubKeyMan::AddKeypoolPubkeyWithDB(const CPubKey& pubkey, const
void LegacyScriptPubKeyMan::KeepDestination(int64_t nIndex, const OutputType& type)
{
+ assert(type != OutputType::BECH32M);
// Remove from key pool
WalletBatch batch(m_storage.GetDatabase());
batch.ErasePool(nIndex);
@@ -1326,6 +1352,7 @@ void LegacyScriptPubKeyMan::ReturnDestination(int64_t nIndex, bool fInternal, co
bool LegacyScriptPubKeyMan::GetKeyFromPool(CPubKey& result, const OutputType type, bool internal)
{
+ assert(type != OutputType::BECH32M);
if (!CanGetAddresses(internal)) {
return false;
}
@@ -1394,6 +1421,7 @@ bool LegacyScriptPubKeyMan::ReserveKeyFromKeyPool(int64_t& nIndex, CKeyPool& key
void LegacyScriptPubKeyMan::LearnRelatedScripts(const CPubKey& key, OutputType type)
{
+ assert(type != OutputType::BECH32M);
if (key.IsCompressed() && (type == OutputType::P2SH_SEGWIT || type == OutputType::BECH32)) {
CTxDestination witdest = WitnessV0KeyHash(key.GetID());
CScript witprog = GetScriptForDestination(witdest);
@@ -1409,7 +1437,7 @@ void LegacyScriptPubKeyMan::LearnAllRelatedScripts(const CPubKey& key)
LearnRelatedScripts(key, OutputType::P2SH_SEGWIT);
}
-void LegacyScriptPubKeyMan::MarkReserveKeysAsUsed(int64_t keypool_id)
+std::vector<CKeyPool> LegacyScriptPubKeyMan::MarkReserveKeysAsUsed(int64_t keypool_id)
{
AssertLockHeld(cs_KeyStore);
bool internal = setInternalKeyPool.count(keypool_id);
@@ -1417,6 +1445,7 @@ void LegacyScriptPubKeyMan::MarkReserveKeysAsUsed(int64_t keypool_id)
std::set<int64_t> *setKeyPool = internal ? &setInternalKeyPool : (set_pre_split_keypool.empty() ? &setExternalKeyPool : &set_pre_split_keypool);
auto it = setKeyPool->begin();
+ std::vector<CKeyPool> result;
WalletBatch batch(m_storage.GetDatabase());
while (it != std::end(*setKeyPool)) {
const int64_t& index = *(it);
@@ -1430,7 +1459,10 @@ void LegacyScriptPubKeyMan::MarkReserveKeysAsUsed(int64_t keypool_id)
batch.ErasePool(index);
WalletLogPrintf("keypool index %d removed\n", index);
it = setKeyPool->erase(it);
+ result.push_back(std::move(keypool));
}
+
+ return result;
}
std::vector<CKeyID> GetAffectedKeys(const CScript& spk, const SigningProvider& provider)
@@ -1595,19 +1627,17 @@ std::set<CKeyID> LegacyScriptPubKeyMan::GetKeys() const
return set_address;
}
-void LegacyScriptPubKeyMan::SetInternal(bool internal) {}
-
-bool DescriptorScriptPubKeyMan::GetNewDestination(const OutputType type, CTxDestination& dest, std::string& error)
+bool DescriptorScriptPubKeyMan::GetNewDestination(const OutputType type, CTxDestination& dest, bilingual_str& error)
{
// Returns true if this descriptor supports getting new addresses. Conditions where we may be unable to fetch them (e.g. locked) are caught later
- if (!CanGetAddresses(m_internal)) {
- error = "No addresses available";
+ if (!CanGetAddresses()) {
+ error = _("No addresses available");
return false;
}
{
LOCK(cs_desc_man);
assert(m_wallet_descriptor.descriptor->IsSingleType()); // This is a combo descriptor which should not be an active descriptor
- Optional<OutputType> desc_addr_type = m_wallet_descriptor.descriptor->GetOutputType();
+ std::optional<OutputType> desc_addr_type = m_wallet_descriptor.descriptor->GetOutputType();
assert(desc_addr_type);
if (type != *desc_addr_type) {
throw std::runtime_error(std::string(__func__) + ": Types are inconsistent");
@@ -1620,16 +1650,16 @@ bool DescriptorScriptPubKeyMan::GetNewDestination(const OutputType type, CTxDest
std::vector<CScript> scripts_temp;
if (m_wallet_descriptor.range_end <= m_max_cached_index && !TopUp(1)) {
// We can't generate anymore keys
- error = "Error: Keypool ran out, please call keypoolrefill first";
+ error = _("Error: Keypool ran out, please call keypoolrefill first");
return false;
}
if (!m_wallet_descriptor.descriptor->ExpandFromCache(m_wallet_descriptor.next_index, m_wallet_descriptor.cache, scripts_temp, out_keys)) {
// We can't generate anymore keys
- error = "Error: Keypool ran out, please call keypoolrefill first";
+ error = _("Error: Keypool ran out, please call keypoolrefill first");
return false;
}
- Optional<OutputType> out_script_type = m_wallet_descriptor.descriptor->GetOutputType();
+ std::optional<OutputType> out_script_type = m_wallet_descriptor.descriptor->GetOutputType();
if (out_script_type && out_script_type == type) {
ExtractDestination(scripts_temp[0], dest);
} else {
@@ -1705,10 +1735,9 @@ bool DescriptorScriptPubKeyMan::Encrypt(const CKeyingMaterial& master_key, Walle
return true;
}
-bool DescriptorScriptPubKeyMan::GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool)
+bool DescriptorScriptPubKeyMan::GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool, bilingual_str& error)
{
LOCK(cs_desc_man);
- std::string error;
bool result = GetNewDestination(type, address, error);
index = m_wallet_descriptor.next_index - 1;
return result;
@@ -1749,7 +1778,7 @@ bool DescriptorScriptPubKeyMan::TopUp(unsigned int size)
if (size > 0) {
target_size = size;
} else {
- target_size = std::max(gArgs.GetArg("-keypool", DEFAULT_KEYPOOL_SIZE), (int64_t) 1);
+ target_size = std::max(gArgs.GetIntArg("-keypool", DEFAULT_KEYPOOL_SIZE), (int64_t) 1);
}
// Calculate the new range_end
@@ -1788,34 +1817,10 @@ bool DescriptorScriptPubKeyMan::TopUp(unsigned int size)
}
m_map_pubkeys[pubkey] = i;
}
- // Write the cache
- for (const auto& parent_xpub_pair : temp_cache.GetCachedParentExtPubKeys()) {
- CExtPubKey xpub;
- if (m_wallet_descriptor.cache.GetCachedParentExtPubKey(parent_xpub_pair.first, xpub)) {
- if (xpub != parent_xpub_pair.second) {
- throw std::runtime_error(std::string(__func__) + ": New cached parent xpub does not match already cached parent xpub");
- }
- continue;
- }
- if (!batch.WriteDescriptorParentCache(parent_xpub_pair.second, id, parent_xpub_pair.first)) {
- throw std::runtime_error(std::string(__func__) + ": writing cache item failed");
- }
- m_wallet_descriptor.cache.CacheParentExtPubKey(parent_xpub_pair.first, parent_xpub_pair.second);
- }
- for (const auto& derived_xpub_map_pair : temp_cache.GetCachedDerivedExtPubKeys()) {
- for (const auto& derived_xpub_pair : derived_xpub_map_pair.second) {
- CExtPubKey xpub;
- if (m_wallet_descriptor.cache.GetCachedDerivedExtPubKey(derived_xpub_map_pair.first, derived_xpub_pair.first, xpub)) {
- if (xpub != derived_xpub_pair.second) {
- throw std::runtime_error(std::string(__func__) + ": New cached derived xpub does not match already cached derived xpub");
- }
- continue;
- }
- if (!batch.WriteDescriptorDerivedCache(derived_xpub_pair.second, id, derived_xpub_map_pair.first, derived_xpub_pair.first)) {
- throw std::runtime_error(std::string(__func__) + ": writing cache item failed");
- }
- m_wallet_descriptor.cache.CacheDerivedExtPubKey(derived_xpub_map_pair.first, derived_xpub_pair.first, derived_xpub_pair.second);
- }
+ // Merge and write the cache
+ DescriptorCache new_items = m_wallet_descriptor.cache.MergeAndDiff(temp_cache);
+ if (!batch.WriteDescriptorCacheItems(id, new_items)) {
+ throw std::runtime_error(std::string(__func__) + ": writing cache items failed");
}
m_max_cached_index++;
}
@@ -1829,19 +1834,32 @@ bool DescriptorScriptPubKeyMan::TopUp(unsigned int size)
return true;
}
-void DescriptorScriptPubKeyMan::MarkUnusedAddresses(const CScript& script)
+std::vector<WalletDestination> DescriptorScriptPubKeyMan::MarkUnusedAddresses(const CScript& script)
{
LOCK(cs_desc_man);
+ std::vector<WalletDestination> result;
if (IsMine(script)) {
int32_t index = m_map_script_pub_keys[script];
if (index >= m_wallet_descriptor.next_index) {
WalletLogPrintf("%s: Detected a used keypool item at index %d, mark all keypool items up to this item as used\n", __func__, index);
- m_wallet_descriptor.next_index = index + 1;
+ auto out_keys = std::make_unique<FlatSigningProvider>();
+ std::vector<CScript> scripts_temp;
+ while (index >= m_wallet_descriptor.next_index) {
+ if (!m_wallet_descriptor.descriptor->ExpandFromCache(m_wallet_descriptor.next_index, m_wallet_descriptor.cache, scripts_temp, *out_keys)) {
+ throw std::runtime_error(std::string(__func__) + ": Unable to expand descriptor from cache");
+ }
+ CTxDestination dest;
+ ExtractDestination(scripts_temp[0], dest);
+ result.push_back({dest, std::nullopt});
+ m_wallet_descriptor.next_index++;
+ }
}
if (!TopUp()) {
WalletLogPrintf("%s: Topping up keypool failed (locked wallet)\n", __func__);
}
}
+
+ return result;
}
void DescriptorScriptPubKeyMan::AddDescriptorKey(const CKey& key, const CPubKey &pubkey)
@@ -1858,6 +1876,12 @@ bool DescriptorScriptPubKeyMan::AddDescriptorKeyWithDB(WalletBatch& batch, const
AssertLockHeld(cs_desc_man);
assert(!m_storage.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS));
+ // Check if provided key already exists
+ if (m_map_keys.find(pubkey.GetID()) != m_map_keys.end() ||
+ m_map_crypted_keys.find(pubkey.GetID()) != m_map_crypted_keys.end()) {
+ return true;
+ }
+
if (m_storage.HasEncryptionKeys()) {
if (m_storage.IsLocked()) {
return false;
@@ -1877,7 +1901,7 @@ bool DescriptorScriptPubKeyMan::AddDescriptorKeyWithDB(WalletBatch& batch, const
}
}
-bool DescriptorScriptPubKeyMan::SetupDescriptorGeneration(const CExtKey& master_key, OutputType addr_type)
+bool DescriptorScriptPubKeyMan::SetupDescriptorGeneration(const CExtKey& master_key, OutputType addr_type, bool internal)
{
LOCK(cs_desc_man);
assert(m_storage.IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS));
@@ -1908,6 +1932,10 @@ bool DescriptorScriptPubKeyMan::SetupDescriptorGeneration(const CExtKey& master_
desc_prefix = "wpkh(" + xpub + "/84'";
break;
}
+ case OutputType::BECH32M: {
+ desc_prefix = "tr(" + xpub + "/86'";
+ break;
+ }
} // no default case, so the compiler can warn about missing cases
assert(!desc_prefix.empty());
@@ -1918,7 +1946,7 @@ bool DescriptorScriptPubKeyMan::SetupDescriptorGeneration(const CExtKey& master_
desc_prefix += "/0'";
}
- std::string internal_path = m_internal ? "/1" : "/0";
+ std::string internal_path = internal ? "/1" : "/0";
std::string desc_str = desc_prefix + "/0'" + internal_path + desc_suffix;
// Make the descriptor
@@ -1966,20 +1994,12 @@ bool DescriptorScriptPubKeyMan::HavePrivateKeys() const
return m_map_keys.size() > 0 || m_map_crypted_keys.size() > 0;
}
-int64_t DescriptorScriptPubKeyMan::GetOldestKeyPoolTime() const
+std::optional<int64_t> DescriptorScriptPubKeyMan::GetOldestKeyPoolTime() const
{
// This is only used for getwalletinfo output and isn't relevant to descriptor wallets.
- // The magic number 0 indicates that it shouldn't be displayed so that's what we return.
- return 0;
+ return std::nullopt;
}
-size_t DescriptorScriptPubKeyMan::KeypoolCountExternalKeys() const
-{
- if (m_internal) {
- return 0;
- }
- return GetKeyPoolSize();
-}
unsigned int DescriptorScriptPubKeyMan::GetKeyPoolSize() const
{
@@ -2026,7 +2046,7 @@ std::unique_ptr<FlatSigningProvider> DescriptorScriptPubKeyMan::GetSigningProvid
{
AssertLockHeld(cs_desc_man);
// Get the scripts, keys, and key origins for this script
- std::unique_ptr<FlatSigningProvider> out_keys = MakeUnique<FlatSigningProvider>();
+ std::unique_ptr<FlatSigningProvider> out_keys = std::make_unique<FlatSigningProvider>();
std::vector<CScript> scripts_temp;
if (!m_wallet_descriptor.descriptor->ExpandFromCache(index, m_wallet_descriptor.cache, scripts_temp, *out_keys)) return nullptr;
@@ -2049,9 +2069,9 @@ bool DescriptorScriptPubKeyMan::CanProvide(const CScript& script, SignatureData&
return IsMine(script);
}
-bool DescriptorScriptPubKeyMan::SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors) const
+bool DescriptorScriptPubKeyMan::SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors) const
{
- std::unique_ptr<FlatSigningProvider> keys = MakeUnique<FlatSigningProvider>();
+ std::unique_ptr<FlatSigningProvider> keys = std::make_unique<FlatSigningProvider>();
for (const auto& coin_pair : coins) {
std::unique_ptr<FlatSigningProvider> coin_keys = GetSigningProvider(coin_pair.second.out.scriptPubKey, true);
if (!coin_keys) {
@@ -2081,7 +2101,7 @@ SigningResult DescriptorScriptPubKeyMan::SignMessage(const std::string& message,
return SigningResult::OK;
}
-TransactionError DescriptorScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psbtx, int sighash_type, bool sign, bool bip32derivs, int* n_signed) const
+TransactionError DescriptorScriptPubKeyMan::FillPSBT(PartiallySignedTransaction& psbtx, const PrecomputedTransactionData& txdata, int sighash_type, bool sign, bool bip32derivs, int* n_signed, bool finalize) const
{
if (n_signed) {
*n_signed = 0;
@@ -2095,7 +2115,7 @@ TransactionError DescriptorScriptPubKeyMan::FillPSBT(PartiallySignedTransaction&
}
// Get the Sighash type
- if (sign && input.sighash_type > 0 && input.sighash_type != sighash_type) {
+ if (sign && input.sighash_type != std::nullopt && *input.sighash_type != sighash_type) {
return TransactionError::SIGHASH_MISMATCH;
}
@@ -2115,13 +2135,13 @@ TransactionError DescriptorScriptPubKeyMan::FillPSBT(PartiallySignedTransaction&
SignatureData sigdata;
input.FillSignatureData(sigdata);
- std::unique_ptr<FlatSigningProvider> keys = MakeUnique<FlatSigningProvider>();
+ std::unique_ptr<FlatSigningProvider> keys = std::make_unique<FlatSigningProvider>();
std::unique_ptr<FlatSigningProvider> script_keys = GetSigningProvider(script, sign);
if (script_keys) {
*keys = Merge(*keys, *script_keys);
} else {
// Maybe there are pubkeys listed that we can sign for
- script_keys = MakeUnique<FlatSigningProvider>();
+ script_keys = std::make_unique<FlatSigningProvider>();
for (const auto& pk_pair : input.hd_keypaths) {
const CPubKey& pubkey = pk_pair.first;
std::unique_ptr<FlatSigningProvider> pk_keys = GetSigningProvider(pubkey);
@@ -2131,7 +2151,7 @@ TransactionError DescriptorScriptPubKeyMan::FillPSBT(PartiallySignedTransaction&
}
}
- SignPSBTInput(HidingSigningProvider(keys.get(), !sign, !bip32derivs), psbtx, i, sighash_type);
+ SignPSBTInput(HidingSigningProvider(keys.get(), !sign, !bip32derivs), psbtx, i, &txdata, sighash_type, nullptr, finalize);
bool signed_one = PSBTInputSigned(input);
if (n_signed && (signed_one || !sign)) {
@@ -2162,7 +2182,7 @@ std::unique_ptr<CKeyMetadata> DescriptorScriptPubKeyMan::GetMetadata(const CTxDe
CKeyID key_id = GetKeyForDestination(*provider, dest);
if (provider->GetKeyOrigin(key_id, orig)) {
LOCK(cs_desc_man);
- std::unique_ptr<CKeyMetadata> meta = MakeUnique<CKeyMetadata>();
+ std::unique_ptr<CKeyMetadata> meta = std::make_unique<CKeyMetadata>();
meta->key_origin = orig;
meta->has_key_origin = true;
meta->nCreateTime = m_wallet_descriptor.creation_time;
@@ -2181,11 +2201,6 @@ uint256 DescriptorScriptPubKeyMan::GetID() const
return id;
}
-void DescriptorScriptPubKeyMan::SetInternal(bool internal)
-{
- this->m_internal = internal;
-}
-
void DescriptorScriptPubKeyMan::SetCache(const DescriptorCache& cache)
{
LOCK(cs_desc_man);
@@ -2266,15 +2281,83 @@ const std::vector<CScript> DescriptorScriptPubKeyMan::GetScriptPubKeys() const
return script_pub_keys;
}
-bool DescriptorScriptPubKeyMan::GetDescriptorString(std::string& out, bool priv) const
+bool DescriptorScriptPubKeyMan::GetDescriptorString(std::string& out, const bool priv) const
{
LOCK(cs_desc_man);
- if (m_storage.IsLocked()) {
- return false;
+
+ FlatSigningProvider provider;
+ provider.keys = GetKeys();
+
+ if (priv) {
+ // For the private version, always return the master key to avoid
+ // exposing child private keys. The risk implications of exposing child
+ // private keys together with the parent xpub may be non-obvious for users.
+ return m_wallet_descriptor.descriptor->ToPrivateString(provider, out);
}
+ return m_wallet_descriptor.descriptor->ToNormalizedString(provider, out, &m_wallet_descriptor.cache);
+}
+
+void DescriptorScriptPubKeyMan::UpgradeDescriptorCache()
+{
+ LOCK(cs_desc_man);
+ if (m_storage.IsLocked() || m_storage.IsWalletFlagSet(WALLET_FLAG_LAST_HARDENED_XPUB_CACHED)) {
+ return;
+ }
+
+ // Skip if we have the last hardened xpub cache
+ if (m_wallet_descriptor.cache.GetCachedLastHardenedExtPubKeys().size() > 0) {
+ return;
+ }
+
+ // Expand the descriptor
FlatSigningProvider provider;
provider.keys = GetKeys();
+ FlatSigningProvider out_keys;
+ std::vector<CScript> scripts_temp;
+ DescriptorCache temp_cache;
+ if (!m_wallet_descriptor.descriptor->Expand(0, provider, scripts_temp, out_keys, &temp_cache)){
+ throw std::runtime_error("Unable to expand descriptor");
+ }
- return m_wallet_descriptor.descriptor->ToNormalizedString(provider, out, priv);
+ // Cache the last hardened xpubs
+ DescriptorCache diff = m_wallet_descriptor.cache.MergeAndDiff(temp_cache);
+ if (!WalletBatch(m_storage.GetDatabase()).WriteDescriptorCacheItems(GetID(), diff)) {
+ throw std::runtime_error(std::string(__func__) + ": writing cache items failed");
+ }
+}
+
+void DescriptorScriptPubKeyMan::UpdateWalletDescriptor(WalletDescriptor& descriptor)
+{
+ LOCK(cs_desc_man);
+ std::string error;
+ if (!CanUpdateToWalletDescriptor(descriptor, error)) {
+ throw std::runtime_error(std::string(__func__) + ": " + error);
+ }
+
+ m_map_pubkeys.clear();
+ m_map_script_pub_keys.clear();
+ m_max_cached_index = -1;
+ m_wallet_descriptor = descriptor;
+}
+
+bool DescriptorScriptPubKeyMan::CanUpdateToWalletDescriptor(const WalletDescriptor& descriptor, std::string& error)
+{
+ LOCK(cs_desc_man);
+ if (!HasWalletDescriptor(descriptor)) {
+ error = "can only update matching descriptor";
+ return false;
+ }
+
+ if (descriptor.range_start > m_wallet_descriptor.range_start ||
+ descriptor.range_end < m_wallet_descriptor.range_end) {
+ // Use inclusive range for error
+ error = strprintf("new range must include current range = [%d,%d]",
+ m_wallet_descriptor.range_start,
+ m_wallet_descriptor.range_end - 1);
+ return false;
+ }
+
+ return true;
}
+} // namespace wallet
diff --git a/src/wallet/scriptpubkeyman.h b/src/wallet/scriptpubkeyman.h
index b8e34fbac3..6eda133771 100644
--- a/src/wallet/scriptpubkeyman.h
+++ b/src/wallet/scriptpubkeyman.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2019-2020 The Bitcoin Core developers
+// Copyright (c) 2019-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -19,11 +19,13 @@
#include <boost/signals2/signal.hpp>
+#include <optional>
#include <unordered_map>
enum class OutputType;
struct bilingual_str;
+namespace wallet {
// Wallet storage things that ScriptPubKeyMans need in order to be able to store things to the wallet database.
// It provides access to things that are part of the entire wallet and not specific to a ScriptPubKeyMan such as
// wallet flags, wallet version, encryption keys, encryption status, and the database itself. This allows a
@@ -148,15 +150,10 @@ public:
}
};
-class KeyIDHasher
+struct WalletDestination
{
-public:
- KeyIDHasher() {}
-
- size_t operator()(const CKeyID& id) const
- {
- return id.GetUint64(0);
- }
+ CTxDestination dest;
+ std::optional<bool> internal;
};
/*
@@ -174,14 +171,14 @@ protected:
public:
explicit ScriptPubKeyMan(WalletStorage& storage) : m_storage(storage) {}
virtual ~ScriptPubKeyMan() {};
- virtual bool GetNewDestination(const OutputType type, CTxDestination& dest, std::string& error) { return false; }
+ virtual bool GetNewDestination(const OutputType type, CTxDestination& dest, bilingual_str& error) { return false; }
virtual isminetype IsMine(const CScript& script) const { return ISMINE_NO; }
//! Check that the given decryption key is valid for this ScriptPubKeyMan, i.e. it decrypts all of the keys handled by it.
virtual bool CheckDecryptionKey(const CKeyingMaterial& master_key, bool accept_no_keys = false) { return false; }
virtual bool Encrypt(const CKeyingMaterial& master_key, WalletBatch* batch) { return false; }
- virtual bool GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool) { return false; }
+ virtual bool GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool, bilingual_str& error) { return false; }
virtual void KeepDestination(int64_t index, const OutputType& type) {}
virtual void ReturnDestination(int64_t index, bool internal, const CTxDestination& addr) {}
@@ -191,8 +188,14 @@ public:
*/
virtual bool TopUp(unsigned int size = 0) { return false; }
- //! Mark unused addresses as being used
- virtual void MarkUnusedAddresses(const CScript& script) {}
+ /** Mark unused addresses as being used
+ * Affects all keys up to and including the one determined by provided script.
+ *
+ * @param script determines the last key to mark as used
+ *
+ * @return All of the addresses affected
+ */
+ virtual std::vector<WalletDestination> MarkUnusedAddresses(const CScript& script) { return {}; }
/** Sets up the key generation stuff, i.e. generates new HD seeds and sets them as active.
* Returns false if already setup or setup fails, true if setup is successful
@@ -207,16 +210,15 @@ public:
virtual bool CanGetAddresses(bool internal = false) const { return false; }
/** Upgrades the wallet to the specified version */
- virtual bool Upgrade(int prev_version, int new_version, bilingual_str& error) { return false; }
+ virtual bool Upgrade(int prev_version, int new_version, bilingual_str& error) { return true; }
virtual bool HavePrivateKeys() const { return false; }
//! The action to do when the DB needs rewrite
virtual void RewriteDB() {}
- virtual int64_t GetOldestKeyPoolTime() const { return GetTime(); }
+ virtual std::optional<int64_t> GetOldestKeyPoolTime() const { return GetTime(); }
- virtual size_t KeypoolCountExternalKeys() const { return 0; }
virtual unsigned int GetKeyPoolSize() const { return 0; }
virtual int64_t GetTimeFirstKey() const { return 0; }
@@ -231,16 +233,14 @@ public:
virtual bool CanProvide(const CScript& script, SignatureData& sigdata) { return false; }
/** Creates new signatures and adds them to the transaction. Returns whether all inputs were signed */
- virtual bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors) const { return false; }
+ virtual bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors) const { return false; }
/** Sign a message with the given script */
virtual SigningResult SignMessage(const std::string& message, const PKHash& pkhash, std::string& str_sig) const { return SigningResult::SIGNING_FAILED; };
/** Adds script and derivation path information to a PSBT, and optionally signs it. */
- virtual TransactionError FillPSBT(PartiallySignedTransaction& psbt, int sighash_type = 1 /* SIGHASH_ALL */, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr) const { return TransactionError::INVALID_PSBT; }
+ virtual TransactionError FillPSBT(PartiallySignedTransaction& psbt, const PrecomputedTransactionData& txdata, int sighash_type = SIGHASH_DEFAULT, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr, bool finalize = true) const { return TransactionError::INVALID_PSBT; }
virtual uint256 GetID() const { return uint256(); }
- virtual void SetInternal(bool internal) {}
-
/** Prepends the wallet name in logging output to ease debugging in multi-wallet use cases */
template<typename... Params>
void WalletLogPrintf(std::string fmt, Params... parameters) const {
@@ -254,6 +254,13 @@ public:
boost::signals2::signal<void ()> NotifyCanGetAddressesChanged;
};
+/** OutputTypes supported by the LegacyScriptPubKeyMan */
+static const std::unordered_set<OutputType> LEGACY_OUTPUT_TYPES {
+ OutputType::LEGACY,
+ OutputType::P2SH_SEGWIT,
+ OutputType::BECH32,
+};
+
class LegacyScriptPubKeyMan : public ScriptPubKeyMan, public FillableSigningProvider
{
private:
@@ -351,19 +358,19 @@ private:
public:
using ScriptPubKeyMan::ScriptPubKeyMan;
- bool GetNewDestination(const OutputType type, CTxDestination& dest, std::string& error) override;
+ bool GetNewDestination(const OutputType type, CTxDestination& dest, bilingual_str& error) override;
isminetype IsMine(const CScript& script) const override;
bool CheckDecryptionKey(const CKeyingMaterial& master_key, bool accept_no_keys = false) override;
bool Encrypt(const CKeyingMaterial& master_key, WalletBatch* batch) override;
- bool GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool) override;
+ bool GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool, bilingual_str& error) override;
void KeepDestination(int64_t index, const OutputType& type) override;
void ReturnDestination(int64_t index, bool internal, const CTxDestination&) override;
bool TopUp(unsigned int size = 0) override;
- void MarkUnusedAddresses(const CScript& script) override;
+ std::vector<WalletDestination> MarkUnusedAddresses(const CScript& script) override;
//! Upgrade stored CKeyMetadata objects to store key origin info as KeyOriginInfo
void UpgradeKeyMetadata();
@@ -378,8 +385,8 @@ public:
void RewriteDB() override;
- int64_t GetOldestKeyPoolTime() const override;
- size_t KeypoolCountExternalKeys() const override;
+ std::optional<int64_t> GetOldestKeyPoolTime() const override;
+ size_t KeypoolCountExternalKeys() const;
unsigned int GetKeyPoolSize() const override;
int64_t GetTimeFirstKey() const override;
@@ -392,14 +399,12 @@ public:
bool CanProvide(const CScript& script, SignatureData& sigdata) override;
- bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors) const override;
+ bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors) const override;
SigningResult SignMessage(const std::string& message, const PKHash& pkhash, std::string& str_sig) const override;
- TransactionError FillPSBT(PartiallySignedTransaction& psbt, int sighash_type = 1 /* SIGHASH_ALL */, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr) const override;
+ TransactionError FillPSBT(PartiallySignedTransaction& psbt, const PrecomputedTransactionData& txdata, int sighash_type = SIGHASH_DEFAULT, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr, bool finalize = true) const override;
uint256 GetID() const override;
- void SetInternal(bool internal) override;
-
// Map from Key ID to key metadata.
std::map<CKeyID, CKeyMetadata> mapKeyMetadata GUARDED_BY(cs_KeyStore);
@@ -490,9 +495,13 @@ public:
void LearnAllRelatedScripts(const CPubKey& key);
/**
- * Marks all keys in the keypool up to and including reserve_key as used.
+ * Marks all keys in the keypool up to and including the provided key as used.
+ *
+ * @param keypool_id determines the last key to mark as used
+ *
+ * @return All affected keys
*/
- void MarkReserveKeysAsUsed(int64_t keypool_id) EXCLUSIVE_LOCKS_REQUIRED(cs_KeyStore);
+ std::vector<CKeyPool> MarkReserveKeysAsUsed(int64_t keypool_id) EXCLUSIVE_LOCKS_REQUIRED(cs_KeyStore);
const std::map<CKeyID, int64_t>& GetAllReserveKeys() const { return m_pool_key_to_index; }
std::set<CKeyID> GetKeys() const override;
@@ -526,8 +535,6 @@ private:
PubKeyMap m_map_pubkeys GUARDED_BY(cs_desc_man);
int32_t m_max_cached_index = -1;
- bool m_internal = false;
-
KeyMap m_map_keys GUARDED_BY(cs_desc_man);
CryptedKeyMap m_map_crypted_keys GUARDED_BY(cs_desc_man);
@@ -553,20 +560,19 @@ public:
: ScriptPubKeyMan(storage),
m_wallet_descriptor(descriptor)
{}
- DescriptorScriptPubKeyMan(WalletStorage& storage, bool internal)
- : ScriptPubKeyMan(storage),
- m_internal(internal)
+ DescriptorScriptPubKeyMan(WalletStorage& storage)
+ : ScriptPubKeyMan(storage)
{}
mutable RecursiveMutex cs_desc_man;
- bool GetNewDestination(const OutputType type, CTxDestination& dest, std::string& error) override;
+ bool GetNewDestination(const OutputType type, CTxDestination& dest, bilingual_str& error) override;
isminetype IsMine(const CScript& script) const override;
bool CheckDecryptionKey(const CKeyingMaterial& master_key, bool accept_no_keys = false) override;
bool Encrypt(const CKeyingMaterial& master_key, WalletBatch* batch) override;
- bool GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool) override;
+ bool GetReservedDestination(const OutputType type, bool internal, CTxDestination& address, int64_t& index, CKeyPool& keypool, bilingual_str& error) override;
void ReturnDestination(int64_t index, bool internal, const CTxDestination& addr) override;
// Tops up the descriptor cache and m_map_script_pub_keys. The cache is stored in the wallet file
@@ -575,12 +581,12 @@ public:
// (with or without private keys), the "keypool" is a single xpub.
bool TopUp(unsigned int size = 0) override;
- void MarkUnusedAddresses(const CScript& script) override;
+ std::vector<WalletDestination> MarkUnusedAddresses(const CScript& script) override;
bool IsHDEnabled() const override;
//! Setup descriptors based on the given CExtkey
- bool SetupDescriptorGeneration(const CExtKey& master_key, OutputType addr_type);
+ bool SetupDescriptorGeneration(const CExtKey& master_key, OutputType addr_type, bool internal);
/** Provide a descriptor at setup time
* Returns false if already setup or setup fails, true if setup is successful
@@ -589,8 +595,7 @@ public:
bool HavePrivateKeys() const override;
- int64_t GetOldestKeyPoolTime() const override;
- size_t KeypoolCountExternalKeys() const override;
+ std::optional<int64_t> GetOldestKeyPoolTime() const override;
unsigned int GetKeyPoolSize() const override;
int64_t GetTimeFirstKey() const override;
@@ -603,27 +608,30 @@ public:
bool CanProvide(const CScript& script, SignatureData& sigdata) override;
- bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors) const override;
+ bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors) const override;
SigningResult SignMessage(const std::string& message, const PKHash& pkhash, std::string& str_sig) const override;
- TransactionError FillPSBT(PartiallySignedTransaction& psbt, int sighash_type = 1 /* SIGHASH_ALL */, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr) const override;
+ TransactionError FillPSBT(PartiallySignedTransaction& psbt, const PrecomputedTransactionData& txdata, int sighash_type = SIGHASH_DEFAULT, bool sign = true, bool bip32derivs = false, int* n_signed = nullptr, bool finalize = true) const override;
uint256 GetID() const override;
- void SetInternal(bool internal) override;
-
void SetCache(const DescriptorCache& cache);
bool AddKey(const CKeyID& key_id, const CKey& key);
bool AddCryptedKey(const CKeyID& key_id, const CPubKey& pubkey, const std::vector<unsigned char>& crypted_key);
bool HasWalletDescriptor(const WalletDescriptor& desc) const;
+ void UpdateWalletDescriptor(WalletDescriptor& descriptor);
+ bool CanUpdateToWalletDescriptor(const WalletDescriptor& descriptor, std::string& error);
void AddDescriptorKey(const CKey& key, const CPubKey &pubkey);
void WriteDescriptor();
const WalletDescriptor GetWalletDescriptor() const EXCLUSIVE_LOCKS_REQUIRED(cs_desc_man);
const std::vector<CScript> GetScriptPubKeys() const;
- bool GetDescriptorString(std::string& out, bool priv) const;
+ bool GetDescriptorString(std::string& out, const bool priv) const;
+
+ void UpgradeDescriptorCache();
};
+} // namespace wallet
#endif // BITCOIN_WALLET_SCRIPTPUBKEYMAN_H
diff --git a/src/wallet/spend.cpp b/src/wallet/spend.cpp
new file mode 100644
index 0000000000..3d8ae2da69
--- /dev/null
+++ b/src/wallet/spend.cpp
@@ -0,0 +1,1030 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <consensus/amount.h>
+#include <consensus/validation.h>
+#include <interfaces/chain.h>
+#include <policy/policy.h>
+#include <script/signingprovider.h>
+#include <util/check.h>
+#include <util/fees.h>
+#include <util/moneystr.h>
+#include <util/rbf.h>
+#include <util/translation.h>
+#include <wallet/coincontrol.h>
+#include <wallet/fees.h>
+#include <wallet/receive.h>
+#include <wallet/spend.h>
+#include <wallet/transaction.h>
+#include <wallet/wallet.h>
+
+using interfaces::FoundBlock;
+
+namespace wallet {
+static constexpr size_t OUTPUT_GROUP_MAX_ENTRIES{100};
+
+int GetTxSpendSize(const CWallet& wallet, const CWalletTx& wtx, unsigned int out, bool use_max_sig)
+{
+ return CalculateMaximumSignedInputSize(wtx.tx->vout[out], &wallet, use_max_sig);
+}
+
+std::string COutput::ToString() const
+{
+ return strprintf("COutput(%s, %d, %d) [%s]", tx->GetHash().ToString(), i, nDepth, FormatMoney(tx->tx->vout[i].nValue));
+}
+
+int CalculateMaximumSignedInputSize(const CTxOut& txout, const SigningProvider* provider, bool use_max_sig)
+{
+ CMutableTransaction txn;
+ txn.vin.push_back(CTxIn(COutPoint()));
+ if (!provider || !DummySignInput(*provider, txn.vin[0], txout, use_max_sig)) {
+ return -1;
+ }
+ return GetVirtualTransactionInputSize(txn.vin[0]);
+}
+
+int CalculateMaximumSignedInputSize(const CTxOut& txout, const CWallet* wallet, bool use_max_sig)
+{
+ const std::unique_ptr<SigningProvider> provider = wallet->GetSolvingProvider(txout.scriptPubKey);
+ return CalculateMaximumSignedInputSize(txout, provider.get(), use_max_sig);
+}
+
+// txouts needs to be in the order of tx.vin
+TxSize CalculateMaximumSignedTxSize(const CTransaction &tx, const CWallet *wallet, const std::vector<CTxOut>& txouts, const CCoinControl* coin_control)
+{
+ CMutableTransaction txNew(tx);
+ if (!wallet->DummySignTx(txNew, txouts, coin_control)) {
+ return TxSize{-1, -1};
+ }
+ CTransaction ctx(txNew);
+ int64_t vsize = GetVirtualTransactionSize(ctx);
+ int64_t weight = GetTransactionWeight(ctx);
+ return TxSize{vsize, weight};
+}
+
+TxSize CalculateMaximumSignedTxSize(const CTransaction &tx, const CWallet *wallet, const CCoinControl* coin_control)
+{
+ std::vector<CTxOut> txouts;
+ // Look up the inputs. The inputs are either in the wallet, or in coin_control.
+ for (const CTxIn& input : tx.vin) {
+ const auto mi = wallet->mapWallet.find(input.prevout.hash);
+ // Can not estimate size without knowing the input details
+ if (mi != wallet->mapWallet.end()) {
+ assert(input.prevout.n < mi->second.tx->vout.size());
+ txouts.emplace_back(mi->second.tx->vout.at(input.prevout.n));
+ } else if (coin_control) {
+ CTxOut txout;
+ if (!coin_control->GetExternalOutput(input.prevout, txout)) {
+ return TxSize{-1, -1};
+ }
+ txouts.emplace_back(txout);
+ } else {
+ return TxSize{-1, -1};
+ }
+ }
+ return CalculateMaximumSignedTxSize(tx, wallet, txouts, coin_control);
+}
+
+void AvailableCoins(const CWallet& wallet, std::vector<COutput>& vCoins, const CCoinControl* coinControl, const CAmount& nMinimumAmount, const CAmount& nMaximumAmount, const CAmount& nMinimumSumAmount, const uint64_t nMaximumCount)
+{
+ AssertLockHeld(wallet.cs_wallet);
+
+ vCoins.clear();
+ CAmount nTotal = 0;
+ // Either the WALLET_FLAG_AVOID_REUSE flag is not set (in which case we always allow), or we default to avoiding, and only in the case where
+ // a coin control object is provided, and has the avoid address reuse flag set to false, do we allow already used addresses
+ bool allow_used_addresses = !wallet.IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE) || (coinControl && !coinControl->m_avoid_address_reuse);
+ const int min_depth = {coinControl ? coinControl->m_min_depth : DEFAULT_MIN_DEPTH};
+ const int max_depth = {coinControl ? coinControl->m_max_depth : DEFAULT_MAX_DEPTH};
+ const bool only_safe = {coinControl ? !coinControl->m_include_unsafe_inputs : true};
+
+ std::set<uint256> trusted_parents;
+ for (const auto& entry : wallet.mapWallet)
+ {
+ const uint256& wtxid = entry.first;
+ const CWalletTx& wtx = entry.second;
+
+ if (wallet.IsTxImmatureCoinBase(wtx))
+ continue;
+
+ int nDepth = wallet.GetTxDepthInMainChain(wtx);
+ if (nDepth < 0)
+ continue;
+
+ // We should not consider coins which aren't at least in our mempool
+ // It's possible for these to be conflicted via ancestors which we may never be able to detect
+ if (nDepth == 0 && !wtx.InMempool())
+ continue;
+
+ bool safeTx = CachedTxIsTrusted(wallet, wtx, trusted_parents);
+
+ // We should not consider coins from transactions that are replacing
+ // other transactions.
+ //
+ // Example: There is a transaction A which is replaced by bumpfee
+ // transaction B. In this case, we want to prevent creation of
+ // a transaction B' which spends an output of B.
+ //
+ // Reason: If transaction A were initially confirmed, transactions B
+ // and B' would no longer be valid, so the user would have to create
+ // a new transaction C to replace B'. However, in the case of a
+ // one-block reorg, transactions B' and C might BOTH be accepted,
+ // when the user only wanted one of them. Specifically, there could
+ // be a 1-block reorg away from the chain where transactions A and C
+ // were accepted to another chain where B, B', and C were all
+ // accepted.
+ if (nDepth == 0 && wtx.mapValue.count("replaces_txid")) {
+ safeTx = false;
+ }
+
+ // Similarly, we should not consider coins from transactions that
+ // have been replaced. In the example above, we would want to prevent
+ // creation of a transaction A' spending an output of A, because if
+ // transaction B were initially confirmed, conflicting with A and
+ // A', we wouldn't want to the user to create a transaction D
+ // intending to replace A', but potentially resulting in a scenario
+ // where A, A', and D could all be accepted (instead of just B and
+ // D, or just A and A' like the user would want).
+ if (nDepth == 0 && wtx.mapValue.count("replaced_by_txid")) {
+ safeTx = false;
+ }
+
+ if (only_safe && !safeTx) {
+ continue;
+ }
+
+ if (nDepth < min_depth || nDepth > max_depth) {
+ continue;
+ }
+
+ for (unsigned int i = 0; i < wtx.tx->vout.size(); i++) {
+ // Only consider selected coins if add_inputs is false
+ if (coinControl && !coinControl->m_add_inputs && !coinControl->IsSelected(COutPoint(entry.first, i))) {
+ continue;
+ }
+
+ if (wtx.tx->vout[i].nValue < nMinimumAmount || wtx.tx->vout[i].nValue > nMaximumAmount)
+ continue;
+
+ if (coinControl && coinControl->HasSelected() && !coinControl->fAllowOtherInputs && !coinControl->IsSelected(COutPoint(entry.first, i)))
+ continue;
+
+ if (wallet.IsLockedCoin(entry.first, i))
+ continue;
+
+ if (wallet.IsSpent(wtxid, i))
+ continue;
+
+ isminetype mine = wallet.IsMine(wtx.tx->vout[i]);
+
+ if (mine == ISMINE_NO) {
+ continue;
+ }
+
+ if (!allow_used_addresses && wallet.IsSpentKey(wtxid, i)) {
+ continue;
+ }
+
+ std::unique_ptr<SigningProvider> provider = wallet.GetSolvingProvider(wtx.tx->vout[i].scriptPubKey);
+
+ bool solvable = provider ? IsSolvable(*provider, wtx.tx->vout[i].scriptPubKey) : false;
+ bool spendable = ((mine & ISMINE_SPENDABLE) != ISMINE_NO) || (((mine & ISMINE_WATCH_ONLY) != ISMINE_NO) && (coinControl && coinControl->fAllowWatchOnly && solvable));
+
+ vCoins.push_back(COutput(wallet, wtx, i, nDepth, spendable, solvable, safeTx, (coinControl && coinControl->fAllowWatchOnly)));
+
+ // Checks the sum amount of all UTXO's.
+ if (nMinimumSumAmount != MAX_MONEY) {
+ nTotal += wtx.tx->vout[i].nValue;
+
+ if (nTotal >= nMinimumSumAmount) {
+ return;
+ }
+ }
+
+ // Checks the maximum number of UTXO's.
+ if (nMaximumCount > 0 && vCoins.size() >= nMaximumCount) {
+ return;
+ }
+ }
+ }
+}
+
+CAmount GetAvailableBalance(const CWallet& wallet, const CCoinControl* coinControl)
+{
+ LOCK(wallet.cs_wallet);
+
+ CAmount balance = 0;
+ std::vector<COutput> vCoins;
+ AvailableCoins(wallet, vCoins, coinControl);
+ for (const COutput& out : vCoins) {
+ if (out.fSpendable) {
+ balance += out.tx->tx->vout[out.i].nValue;
+ }
+ }
+ return balance;
+}
+
+const CTxOut& FindNonChangeParentOutput(const CWallet& wallet, const CTransaction& tx, int output)
+{
+ AssertLockHeld(wallet.cs_wallet);
+ const CTransaction* ptx = &tx;
+ int n = output;
+ while (OutputIsChange(wallet, ptx->vout[n]) && ptx->vin.size() > 0) {
+ const COutPoint& prevout = ptx->vin[0].prevout;
+ auto it = wallet.mapWallet.find(prevout.hash);
+ if (it == wallet.mapWallet.end() || it->second.tx->vout.size() <= prevout.n ||
+ !wallet.IsMine(it->second.tx->vout[prevout.n])) {
+ break;
+ }
+ ptx = it->second.tx.get();
+ n = prevout.n;
+ }
+ return ptx->vout[n];
+}
+
+std::map<CTxDestination, std::vector<COutput>> ListCoins(const CWallet& wallet)
+{
+ AssertLockHeld(wallet.cs_wallet);
+
+ std::map<CTxDestination, std::vector<COutput>> result;
+ std::vector<COutput> availableCoins;
+
+ AvailableCoins(wallet, availableCoins);
+
+ for (const COutput& coin : availableCoins) {
+ CTxDestination address;
+ if ((coin.fSpendable || (wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && coin.fSolvable)) &&
+ ExtractDestination(FindNonChangeParentOutput(wallet, *coin.tx->tx, coin.i).scriptPubKey, address)) {
+ result[address].emplace_back(std::move(coin));
+ }
+ }
+
+ std::vector<COutPoint> lockedCoins;
+ wallet.ListLockedCoins(lockedCoins);
+ // Include watch-only for LegacyScriptPubKeyMan wallets without private keys
+ const bool include_watch_only = wallet.GetLegacyScriptPubKeyMan() && wallet.IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
+ const isminetype is_mine_filter = include_watch_only ? ISMINE_WATCH_ONLY : ISMINE_SPENDABLE;
+ for (const COutPoint& output : lockedCoins) {
+ auto it = wallet.mapWallet.find(output.hash);
+ if (it != wallet.mapWallet.end()) {
+ int depth = wallet.GetTxDepthInMainChain(it->second);
+ if (depth >= 0 && output.n < it->second.tx->vout.size() &&
+ wallet.IsMine(it->second.tx->vout[output.n]) == is_mine_filter
+ ) {
+ CTxDestination address;
+ if (ExtractDestination(FindNonChangeParentOutput(wallet, *it->second.tx, output.n).scriptPubKey, address)) {
+ result[address].emplace_back(
+ wallet, it->second, output.n, depth, true /* spendable */, true /* solvable */, false /* safe */);
+ }
+ }
+ }
+ }
+
+ return result;
+}
+
+std::vector<OutputGroup> GroupOutputs(const CWallet& wallet, const std::vector<COutput>& outputs, const CoinSelectionParams& coin_sel_params, const CoinEligibilityFilter& filter, bool positive_only)
+{
+ std::vector<OutputGroup> groups_out;
+
+ if (!coin_sel_params.m_avoid_partial_spends) {
+ // Allowing partial spends means no grouping. Each COutput gets its own OutputGroup.
+ for (const COutput& output : outputs) {
+ // Skip outputs we cannot spend
+ if (!output.fSpendable) continue;
+
+ size_t ancestors, descendants;
+ wallet.chain().getTransactionAncestry(output.tx->GetHash(), ancestors, descendants);
+ CInputCoin input_coin = output.GetInputCoin();
+
+ // Make an OutputGroup containing just this output
+ OutputGroup group{coin_sel_params};
+ group.Insert(input_coin, output.nDepth, CachedTxIsFromMe(wallet, *output.tx, ISMINE_ALL), ancestors, descendants, positive_only);
+
+ // Check the OutputGroup's eligibility. Only add the eligible ones.
+ if (positive_only && group.GetSelectionAmount() <= 0) continue;
+ if (group.m_outputs.size() > 0 && group.EligibleForSpending(filter)) groups_out.push_back(group);
+ }
+ return groups_out;
+ }
+
+ // We want to combine COutputs that have the same scriptPubKey into single OutputGroups
+ // except when there are more than OUTPUT_GROUP_MAX_ENTRIES COutputs grouped in an OutputGroup.
+ // To do this, we maintain a map where the key is the scriptPubKey and the value is a vector of OutputGroups.
+ // For each COutput, we check if the scriptPubKey is in the map, and if it is, the COutput's CInputCoin is added
+ // to the last OutputGroup in the vector for the scriptPubKey. When the last OutputGroup has
+ // OUTPUT_GROUP_MAX_ENTRIES CInputCoins, a new OutputGroup is added to the end of the vector.
+ std::map<CScript, std::vector<OutputGroup>> spk_to_groups_map;
+ for (const auto& output : outputs) {
+ // Skip outputs we cannot spend
+ if (!output.fSpendable) continue;
+
+ size_t ancestors, descendants;
+ wallet.chain().getTransactionAncestry(output.tx->GetHash(), ancestors, descendants);
+ CInputCoin input_coin = output.GetInputCoin();
+ CScript spk = input_coin.txout.scriptPubKey;
+
+ std::vector<OutputGroup>& groups = spk_to_groups_map[spk];
+
+ if (groups.size() == 0) {
+ // No OutputGroups for this scriptPubKey yet, add one
+ groups.emplace_back(coin_sel_params);
+ }
+
+ // Get the last OutputGroup in the vector so that we can add the CInputCoin to it
+ // A pointer is used here so that group can be reassigned later if it is full.
+ OutputGroup* group = &groups.back();
+
+ // Check if this OutputGroup is full. We limit to OUTPUT_GROUP_MAX_ENTRIES when using -avoidpartialspends
+ // to avoid surprising users with very high fees.
+ if (group->m_outputs.size() >= OUTPUT_GROUP_MAX_ENTRIES) {
+ // The last output group is full, add a new group to the vector and use that group for the insertion
+ groups.emplace_back(coin_sel_params);
+ group = &groups.back();
+ }
+
+ // Add the input_coin to group
+ group->Insert(input_coin, output.nDepth, CachedTxIsFromMe(wallet, *output.tx, ISMINE_ALL), ancestors, descendants, positive_only);
+ }
+
+ // Now we go through the entire map and pull out the OutputGroups
+ for (const auto& spk_and_groups_pair: spk_to_groups_map) {
+ const std::vector<OutputGroup>& groups_per_spk= spk_and_groups_pair.second;
+
+ // Go through the vector backwards. This allows for the first item we deal with being the partial group.
+ for (auto group_it = groups_per_spk.rbegin(); group_it != groups_per_spk.rend(); group_it++) {
+ const OutputGroup& group = *group_it;
+
+ // Don't include partial groups if there are full groups too and we don't want partial groups
+ if (group_it == groups_per_spk.rbegin() && groups_per_spk.size() > 1 && !filter.m_include_partial_groups) {
+ continue;
+ }
+
+ // Check the OutputGroup's eligibility. Only add the eligible ones.
+ if (positive_only && group.GetSelectionAmount() <= 0) continue;
+ if (group.m_outputs.size() > 0 && group.EligibleForSpending(filter)) groups_out.push_back(group);
+ }
+ }
+
+ return groups_out;
+}
+
+std::optional<SelectionResult> AttemptSelection(const CWallet& wallet, const CAmount& nTargetValue, const CoinEligibilityFilter& eligibility_filter, std::vector<COutput> coins,
+ const CoinSelectionParams& coin_selection_params)
+{
+ // Vector of results. We will choose the best one based on waste.
+ std::vector<SelectionResult> results;
+
+ // Note that unlike KnapsackSolver, we do not include the fee for creating a change output as BnB will not create a change output.
+ std::vector<OutputGroup> positive_groups = GroupOutputs(wallet, coins, coin_selection_params, eligibility_filter, true /* positive_only */);
+ if (auto bnb_result{SelectCoinsBnB(positive_groups, nTargetValue, coin_selection_params.m_cost_of_change)}) {
+ bnb_result->ComputeAndSetWaste(CAmount(0));
+ results.push_back(*bnb_result);
+ }
+
+ // The knapsack solver has some legacy behavior where it will spend dust outputs. We retain this behavior, so don't filter for positive only here.
+ std::vector<OutputGroup> all_groups = GroupOutputs(wallet, coins, coin_selection_params, eligibility_filter, false /* positive_only */);
+ // While nTargetValue includes the transaction fees for non-input things, it does not include the fee for creating a change output.
+ // So we need to include that for KnapsackSolver as well, as we are expecting to create a change output.
+ if (auto knapsack_result{KnapsackSolver(all_groups, nTargetValue + coin_selection_params.m_change_fee)}) {
+ knapsack_result->ComputeAndSetWaste(coin_selection_params.m_cost_of_change);
+ results.push_back(*knapsack_result);
+ }
+
+ // We include the minimum final change for SRD as we do want to avoid making really small change.
+ // KnapsackSolver does not need this because it includes MIN_CHANGE internally.
+ const CAmount srd_target = nTargetValue + coin_selection_params.m_change_fee + MIN_FINAL_CHANGE;
+ if (auto srd_result{SelectCoinsSRD(positive_groups, srd_target)}) {
+ srd_result->ComputeAndSetWaste(coin_selection_params.m_cost_of_change);
+ results.push_back(*srd_result);
+ }
+
+ if (results.size() == 0) {
+ // No solution found
+ return std::nullopt;
+ }
+
+ // Choose the result with the least waste
+ // If the waste is the same, choose the one which spends more inputs.
+ auto& best_result = *std::min_element(results.begin(), results.end());
+ return best_result;
+}
+
+std::optional<SelectionResult> SelectCoins(const CWallet& wallet, const std::vector<COutput>& vAvailableCoins, const CAmount& nTargetValue, const CCoinControl& coin_control, const CoinSelectionParams& coin_selection_params)
+{
+ std::vector<COutput> vCoins(vAvailableCoins);
+ CAmount value_to_select = nTargetValue;
+
+ OutputGroup preset_inputs(coin_selection_params);
+
+ // coin control -> return all selected outputs (we want all selected to go into the transaction for sure)
+ if (coin_control.HasSelected() && !coin_control.fAllowOtherInputs)
+ {
+ for (const COutput& out : vCoins) {
+ if (!out.fSpendable) continue;
+ /* Set depth, from_me, ancestors, and descendants to 0 or false as these don't matter for preset inputs as no actual selection is being done.
+ * positive_only is set to false because we want to include all preset inputs, even if they are dust.
+ */
+ preset_inputs.Insert(out.GetInputCoin(), 0, false, 0, 0, false);
+ }
+ SelectionResult result(nTargetValue);
+ result.AddInput(preset_inputs);
+ if (result.GetSelectedValue() < nTargetValue) return std::nullopt;
+ return result;
+ }
+
+ // calculate value from preset inputs and store them
+ std::set<CInputCoin> setPresetCoins;
+
+ std::vector<COutPoint> vPresetInputs;
+ coin_control.ListSelected(vPresetInputs);
+ for (const COutPoint& outpoint : vPresetInputs) {
+ int input_bytes = -1;
+ CTxOut txout;
+ std::map<uint256, CWalletTx>::const_iterator it = wallet.mapWallet.find(outpoint.hash);
+ if (it != wallet.mapWallet.end()) {
+ const CWalletTx& wtx = it->second;
+ // Clearly invalid input, fail
+ if (wtx.tx->vout.size() <= outpoint.n) {
+ return std::nullopt;
+ }
+ input_bytes = GetTxSpendSize(wallet, wtx, outpoint.n, false);
+ txout = wtx.tx->vout.at(outpoint.n);
+ } else {
+ // The input is external. We did not find the tx in mapWallet.
+ if (!coin_control.GetExternalOutput(outpoint, txout)) {
+ return std::nullopt;
+ }
+ input_bytes = CalculateMaximumSignedInputSize(txout, &coin_control.m_external_provider, /* use_max_sig */ true);
+ }
+ // If available, override calculated size with coin control specified size
+ if (coin_control.HasInputWeight(outpoint)) {
+ input_bytes = GetVirtualTransactionSize(coin_control.GetInputWeight(outpoint), 0, 0);
+ }
+
+ CInputCoin coin(outpoint, txout, input_bytes);
+ if (coin.m_input_bytes == -1) {
+ return std::nullopt; // Not solvable, can't estimate size for fee
+ }
+ coin.effective_value = coin.txout.nValue - coin_selection_params.m_effective_feerate.GetFee(coin.m_input_bytes);
+ if (coin_selection_params.m_subtract_fee_outputs) {
+ value_to_select -= coin.txout.nValue;
+ } else {
+ value_to_select -= coin.effective_value;
+ }
+ setPresetCoins.insert(coin);
+ /* Set depth, from_me, ancestors, and descendants to 0 or false as don't matter for preset inputs as no actual selection is being done.
+ * positive_only is set to false because we want to include all preset inputs, even if they are dust.
+ */
+ preset_inputs.Insert(coin, 0, false, 0, 0, false);
+ }
+
+ // remove preset inputs from vCoins so that Coin Selection doesn't pick them.
+ for (std::vector<COutput>::iterator it = vCoins.begin(); it != vCoins.end() && coin_control.HasSelected();)
+ {
+ if (setPresetCoins.count(it->GetInputCoin()))
+ it = vCoins.erase(it);
+ else
+ ++it;
+ }
+
+ unsigned int limit_ancestor_count = 0;
+ unsigned int limit_descendant_count = 0;
+ wallet.chain().getPackageLimits(limit_ancestor_count, limit_descendant_count);
+ const size_t max_ancestors = (size_t)std::max<int64_t>(1, limit_ancestor_count);
+ const size_t max_descendants = (size_t)std::max<int64_t>(1, limit_descendant_count);
+ const bool fRejectLongChains = gArgs.GetBoolArg("-walletrejectlongchains", DEFAULT_WALLET_REJECT_LONG_CHAINS);
+
+ // form groups from remaining coins; note that preset coins will not
+ // automatically have their associated (same address) coins included
+ if (coin_control.m_avoid_partial_spends && vCoins.size() > OUTPUT_GROUP_MAX_ENTRIES) {
+ // Cases where we have 101+ outputs all pointing to the same destination may result in
+ // privacy leaks as they will potentially be deterministically sorted. We solve that by
+ // explicitly shuffling the outputs before processing
+ Shuffle(vCoins.begin(), vCoins.end(), FastRandomContext());
+ }
+
+ // Coin Selection attempts to select inputs from a pool of eligible UTXOs to fund the
+ // transaction at a target feerate. If an attempt fails, more attempts may be made using a more
+ // permissive CoinEligibilityFilter.
+ std::optional<SelectionResult> res = [&] {
+ // Pre-selected inputs already cover the target amount.
+ if (value_to_select <= 0) return std::make_optional(SelectionResult(nTargetValue));
+
+ // If possible, fund the transaction with confirmed UTXOs only. Prefer at least six
+ // confirmations on outputs received from other wallets and only spend confirmed change.
+ if (auto r1{AttemptSelection(wallet, value_to_select, CoinEligibilityFilter(1, 6, 0), vCoins, coin_selection_params)}) return r1;
+ if (auto r2{AttemptSelection(wallet, value_to_select, CoinEligibilityFilter(1, 1, 0), vCoins, coin_selection_params)}) return r2;
+
+ // Fall back to using zero confirmation change (but with as few ancestors in the mempool as
+ // possible) if we cannot fund the transaction otherwise.
+ if (wallet.m_spend_zero_conf_change) {
+ if (auto r3{AttemptSelection(wallet, value_to_select, CoinEligibilityFilter(0, 1, 2), vCoins, coin_selection_params)}) return r3;
+ if (auto r4{AttemptSelection(wallet, value_to_select, CoinEligibilityFilter(0, 1, std::min((size_t)4, max_ancestors/3), std::min((size_t)4, max_descendants/3)),
+ vCoins, coin_selection_params)}) {
+ return r4;
+ }
+ if (auto r5{AttemptSelection(wallet, value_to_select, CoinEligibilityFilter(0, 1, max_ancestors/2, max_descendants/2),
+ vCoins, coin_selection_params)}) {
+ return r5;
+ }
+ // If partial groups are allowed, relax the requirement of spending OutputGroups (groups
+ // of UTXOs sent to the same address, which are obviously controlled by a single wallet)
+ // in their entirety.
+ if (auto r6{AttemptSelection(wallet, value_to_select, CoinEligibilityFilter(0, 1, max_ancestors-1, max_descendants-1, true /* include_partial_groups */),
+ vCoins, coin_selection_params)}) {
+ return r6;
+ }
+ // Try with unsafe inputs if they are allowed. This may spend unconfirmed outputs
+ // received from other wallets.
+ if (coin_control.m_include_unsafe_inputs) {
+ if (auto r7{AttemptSelection(wallet, value_to_select,
+ CoinEligibilityFilter(0 /* conf_mine */, 0 /* conf_theirs */, max_ancestors-1, max_descendants-1, true /* include_partial_groups */),
+ vCoins, coin_selection_params)}) {
+ return r7;
+ }
+ }
+ // Try with unlimited ancestors/descendants. The transaction will still need to meet
+ // mempool ancestor/descendant policy to be accepted to mempool and broadcasted, but
+ // OutputGroups use heuristics that may overestimate ancestor/descendant counts.
+ if (!fRejectLongChains) {
+ if (auto r8{AttemptSelection(wallet, value_to_select,
+ CoinEligibilityFilter(0, 1, std::numeric_limits<uint64_t>::max(), std::numeric_limits<uint64_t>::max(), true /* include_partial_groups */),
+ vCoins, coin_selection_params)}) {
+ return r8;
+ }
+ }
+ }
+ // Coin Selection failed.
+ return std::optional<SelectionResult>();
+ }();
+
+ if (!res) return std::nullopt;
+
+ // Add preset inputs to result
+ res->AddInput(preset_inputs);
+
+ return res;
+}
+
+static bool IsCurrentForAntiFeeSniping(interfaces::Chain& chain, const uint256& block_hash)
+{
+ if (chain.isInitialBlockDownload()) {
+ return false;
+ }
+ constexpr int64_t MAX_ANTI_FEE_SNIPING_TIP_AGE = 8 * 60 * 60; // in seconds
+ int64_t block_time;
+ CHECK_NONFATAL(chain.findBlock(block_hash, FoundBlock().time(block_time)));
+ if (block_time < (GetTime() - MAX_ANTI_FEE_SNIPING_TIP_AGE)) {
+ return false;
+ }
+ return true;
+}
+
+/**
+ * Return a height-based locktime for new transactions (uses the height of the
+ * current chain tip unless we are not synced with the current chain
+ */
+static uint32_t GetLocktimeForNewTransaction(interfaces::Chain& chain, const uint256& block_hash, int block_height)
+{
+ uint32_t locktime;
+ // Discourage fee sniping.
+ //
+ // For a large miner the value of the transactions in the best block and
+ // the mempool can exceed the cost of deliberately attempting to mine two
+ // blocks to orphan the current best block. By setting nLockTime such that
+ // only the next block can include the transaction, we discourage this
+ // practice as the height restricted and limited blocksize gives miners
+ // considering fee sniping fewer options for pulling off this attack.
+ //
+ // A simple way to think about this is from the wallet's point of view we
+ // always want the blockchain to move forward. By setting nLockTime this
+ // way we're basically making the statement that we only want this
+ // transaction to appear in the next block; we don't want to potentially
+ // encourage reorgs by allowing transactions to appear at lower heights
+ // than the next block in forks of the best chain.
+ //
+ // Of course, the subsidy is high enough, and transaction volume low
+ // enough, that fee sniping isn't a problem yet, but by implementing a fix
+ // now we ensure code won't be written that makes assumptions about
+ // nLockTime that preclude a fix later.
+ if (IsCurrentForAntiFeeSniping(chain, block_hash)) {
+ locktime = block_height;
+
+ // Secondly occasionally randomly pick a nLockTime even further back, so
+ // that transactions that are delayed after signing for whatever reason,
+ // e.g. high-latency mix networks and some CoinJoin implementations, have
+ // better privacy.
+ if (GetRandInt(10) == 0)
+ locktime = std::max(0, (int)locktime - GetRandInt(100));
+ } else {
+ // If our chain is lagging behind, we can't discourage fee sniping nor help
+ // the privacy of high-latency transactions. To avoid leaking a potentially
+ // unique "nLockTime fingerprint", set nLockTime to a constant.
+ locktime = 0;
+ }
+ assert(locktime < LOCKTIME_THRESHOLD);
+ return locktime;
+}
+
+static bool CreateTransactionInternal(
+ CWallet& wallet,
+ const std::vector<CRecipient>& vecSend,
+ CTransactionRef& tx,
+ CAmount& nFeeRet,
+ int& nChangePosInOut,
+ bilingual_str& error,
+ const CCoinControl& coin_control,
+ FeeCalculation& fee_calc_out,
+ bool sign) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
+{
+ AssertLockHeld(wallet.cs_wallet);
+
+ CMutableTransaction txNew; // The resulting transaction that we make
+ txNew.nLockTime = GetLocktimeForNewTransaction(wallet.chain(), wallet.GetLastBlockHash(), wallet.GetLastBlockHeight());
+
+ CoinSelectionParams coin_selection_params; // Parameters for coin selection, init with dummy
+ coin_selection_params.m_avoid_partial_spends = coin_control.m_avoid_partial_spends;
+
+ // Set the long term feerate estimate to the wallet's consolidate feerate
+ coin_selection_params.m_long_term_feerate = wallet.m_consolidate_feerate;
+
+ CAmount recipients_sum = 0;
+ const OutputType change_type = wallet.TransactionChangeType(coin_control.m_change_type ? *coin_control.m_change_type : wallet.m_default_change_type, vecSend);
+ ReserveDestination reservedest(&wallet, change_type);
+ unsigned int outputs_to_subtract_fee_from = 0; // The number of outputs which we are subtracting the fee from
+ for (const auto& recipient : vecSend) {
+ recipients_sum += recipient.nAmount;
+
+ if (recipient.fSubtractFeeFromAmount) {
+ outputs_to_subtract_fee_from++;
+ coin_selection_params.m_subtract_fee_outputs = true;
+ }
+ }
+
+ // Create change script that will be used if we need change
+ CScript scriptChange;
+
+ // coin control: send change to custom address
+ if (!std::get_if<CNoDestination>(&coin_control.destChange)) {
+ scriptChange = GetScriptForDestination(coin_control.destChange);
+ } else { // no coin control: send change to newly generated address
+ // Note: We use a new key here to keep it from being obvious which side is the change.
+ // The drawback is that by not reusing a previous key, the change may be lost if a
+ // backup is restored, if the backup doesn't have the new private key for the change.
+ // If we reused the old key, it would be possible to add code to look for and
+ // rediscover unknown transactions that were written with keys of ours to recover
+ // post-backup change.
+
+ // Reserve a new key pair from key pool. If it fails, provide a dummy
+ // destination in case we don't need change.
+ CTxDestination dest;
+ bilingual_str dest_err;
+ if (!reservedest.GetReservedDestination(dest, true, dest_err)) {
+ error = _("Transaction needs a change address, but we can't generate it.") + Untranslated(" ") + dest_err;
+ }
+ scriptChange = GetScriptForDestination(dest);
+ // A valid destination implies a change script (and
+ // vice-versa). An empty change script will abort later, if the
+ // change keypool ran out, but change is required.
+ CHECK_NONFATAL(IsValidDestination(dest) != scriptChange.empty());
+ }
+ CTxOut change_prototype_txout(0, scriptChange);
+ coin_selection_params.change_output_size = GetSerializeSize(change_prototype_txout);
+
+ // Get size of spending the change output
+ int change_spend_size = CalculateMaximumSignedInputSize(change_prototype_txout, &wallet);
+ // If the wallet doesn't know how to sign change output, assume p2sh-p2wpkh
+ // as lower-bound to allow BnB to do it's thing
+ if (change_spend_size == -1) {
+ coin_selection_params.change_spend_size = DUMMY_NESTED_P2WPKH_INPUT_SIZE;
+ } else {
+ coin_selection_params.change_spend_size = (size_t)change_spend_size;
+ }
+
+ // Set discard feerate
+ coin_selection_params.m_discard_feerate = GetDiscardRate(wallet);
+
+ // Get the fee rate to use effective values in coin selection
+ FeeCalculation feeCalc;
+ coin_selection_params.m_effective_feerate = GetMinimumFeeRate(wallet, coin_control, &feeCalc);
+ // Do not, ever, assume that it's fine to change the fee rate if the user has explicitly
+ // provided one
+ if (coin_control.m_feerate && coin_selection_params.m_effective_feerate > *coin_control.m_feerate) {
+ error = strprintf(_("Fee rate (%s) is lower than the minimum fee rate setting (%s)"), coin_control.m_feerate->ToString(FeeEstimateMode::SAT_VB), coin_selection_params.m_effective_feerate.ToString(FeeEstimateMode::SAT_VB));
+ return false;
+ }
+ if (feeCalc.reason == FeeReason::FALLBACK && !wallet.m_allow_fallback_fee) {
+ // eventually allow a fallback fee
+ error = _("Fee estimation failed. Fallbackfee is disabled. Wait a few blocks or enable -fallbackfee.");
+ return false;
+ }
+
+ // Calculate the cost of change
+ // Cost of change is the cost of creating the change output + cost of spending the change output in the future.
+ // For creating the change output now, we use the effective feerate.
+ // For spending the change output in the future, we use the discard feerate for now.
+ // So cost of change = (change output size * effective feerate) + (size of spending change output * discard feerate)
+ coin_selection_params.m_change_fee = coin_selection_params.m_effective_feerate.GetFee(coin_selection_params.change_output_size);
+ coin_selection_params.m_cost_of_change = coin_selection_params.m_discard_feerate.GetFee(coin_selection_params.change_spend_size) + coin_selection_params.m_change_fee;
+
+ // vouts to the payees
+ if (!coin_selection_params.m_subtract_fee_outputs) {
+ coin_selection_params.tx_noinputs_size = 11; // Static vsize overhead + outputs vsize. 4 nVersion, 4 nLocktime, 1 input count, 1 output count, 1 witness overhead (dummy, flag, stack size)
+ }
+ for (const auto& recipient : vecSend)
+ {
+ CTxOut txout(recipient.nAmount, recipient.scriptPubKey);
+
+ // Include the fee cost for outputs.
+ if (!coin_selection_params.m_subtract_fee_outputs) {
+ coin_selection_params.tx_noinputs_size += ::GetSerializeSize(txout, PROTOCOL_VERSION);
+ }
+
+ if (IsDust(txout, wallet.chain().relayDustFee()))
+ {
+ error = _("Transaction amount too small");
+ return false;
+ }
+ txNew.vout.push_back(txout);
+ }
+
+ // Include the fees for things that aren't inputs, excluding the change output
+ const CAmount not_input_fees = coin_selection_params.m_effective_feerate.GetFee(coin_selection_params.tx_noinputs_size);
+ CAmount selection_target = recipients_sum + not_input_fees;
+
+ // Get available coins
+ std::vector<COutput> vAvailableCoins;
+ AvailableCoins(wallet, vAvailableCoins, &coin_control, 1, MAX_MONEY, MAX_MONEY, 0);
+
+ // Choose coins to use
+ std::optional<SelectionResult> result = SelectCoins(wallet, vAvailableCoins, /* nTargetValue */ selection_target, coin_control, coin_selection_params);
+ if (!result) {
+ error = _("Insufficient funds");
+ return false;
+ }
+
+ // Always make a change output
+ // We will reduce the fee from this change output later, and remove the output if it is too small.
+ const CAmount change_and_fee = result->GetSelectedValue() - recipients_sum;
+ assert(change_and_fee >= 0);
+ CTxOut newTxOut(change_and_fee, scriptChange);
+
+ if (nChangePosInOut == -1)
+ {
+ // Insert change txn at random position:
+ nChangePosInOut = GetRandInt(txNew.vout.size()+1);
+ }
+ else if ((unsigned int)nChangePosInOut > txNew.vout.size())
+ {
+ error = _("Change index out of range");
+ return false;
+ }
+
+ assert(nChangePosInOut != -1);
+ auto change_position = txNew.vout.insert(txNew.vout.begin() + nChangePosInOut, newTxOut);
+
+ // Shuffle selected coins and fill in final vin
+ std::vector<CInputCoin> selected_coins = result->GetShuffledInputVector();
+
+ // Note how the sequence number is set to non-maxint so that
+ // the nLockTime set above actually works.
+ //
+ // BIP125 defines opt-in RBF as any nSequence < maxint-1, so
+ // we use the highest possible value in that range (maxint-2)
+ // to avoid conflicting with other possible uses of nSequence,
+ // and in the spirit of "smallest possible change from prior
+ // behavior."
+ const uint32_t nSequence{coin_control.m_signal_bip125_rbf.value_or(wallet.m_signal_rbf) ? MAX_BIP125_RBF_SEQUENCE : CTxIn::MAX_SEQUENCE_NONFINAL};
+ for (const auto& coin : selected_coins) {
+ txNew.vin.push_back(CTxIn(coin.outpoint, CScript(), nSequence));
+ }
+
+ // Calculate the transaction fee
+ TxSize tx_sizes = CalculateMaximumSignedTxSize(CTransaction(txNew), &wallet, &coin_control);
+ int nBytes = tx_sizes.vsize;
+ if (nBytes == -1) {
+ error = _("Missing solving data for estimating transaction size");
+ return false;
+ }
+ nFeeRet = coin_selection_params.m_effective_feerate.GetFee(nBytes);
+
+ // Subtract fee from the change output if not subtracting it from recipient outputs
+ CAmount fee_needed = nFeeRet;
+ if (!coin_selection_params.m_subtract_fee_outputs) {
+ change_position->nValue -= fee_needed;
+ }
+
+ // We want to drop the change to fees if:
+ // 1. The change output would be dust
+ // 2. The change is within the (almost) exact match window, i.e. it is less than or equal to the cost of the change output (cost_of_change)
+ CAmount change_amount = change_position->nValue;
+ if (IsDust(*change_position, coin_selection_params.m_discard_feerate) || change_amount <= coin_selection_params.m_cost_of_change)
+ {
+ nChangePosInOut = -1;
+ change_amount = 0;
+ txNew.vout.erase(change_position);
+
+ // Because we have dropped this change, the tx size and required fee will be different, so let's recalculate those
+ tx_sizes = CalculateMaximumSignedTxSize(CTransaction(txNew), &wallet, &coin_control);
+ nBytes = tx_sizes.vsize;
+ fee_needed = coin_selection_params.m_effective_feerate.GetFee(nBytes);
+ }
+
+ // The only time that fee_needed should be less than the amount available for fees (in change_and_fee - change_amount) is when
+ // we are subtracting the fee from the outputs. If this occurs at any other time, it is a bug.
+ assert(coin_selection_params.m_subtract_fee_outputs || fee_needed <= change_and_fee - change_amount);
+
+ // Update nFeeRet in case fee_needed changed due to dropping the change output
+ if (fee_needed <= change_and_fee - change_amount) {
+ nFeeRet = change_and_fee - change_amount;
+ }
+
+ // Reduce output values for subtractFeeFromAmount
+ if (coin_selection_params.m_subtract_fee_outputs) {
+ CAmount to_reduce = fee_needed + change_amount - change_and_fee;
+ int i = 0;
+ bool fFirst = true;
+ for (const auto& recipient : vecSend)
+ {
+ if (i == nChangePosInOut) {
+ ++i;
+ }
+ CTxOut& txout = txNew.vout[i];
+
+ if (recipient.fSubtractFeeFromAmount)
+ {
+ txout.nValue -= to_reduce / outputs_to_subtract_fee_from; // Subtract fee equally from each selected recipient
+
+ if (fFirst) // first receiver pays the remainder not divisible by output count
+ {
+ fFirst = false;
+ txout.nValue -= to_reduce % outputs_to_subtract_fee_from;
+ }
+
+ // Error if this output is reduced to be below dust
+ if (IsDust(txout, wallet.chain().relayDustFee())) {
+ if (txout.nValue < 0) {
+ error = _("The transaction amount is too small to pay the fee");
+ } else {
+ error = _("The transaction amount is too small to send after the fee has been deducted");
+ }
+ return false;
+ }
+ }
+ ++i;
+ }
+ nFeeRet = fee_needed;
+ }
+
+ // Give up if change keypool ran out and change is required
+ if (scriptChange.empty() && nChangePosInOut != -1) {
+ return false;
+ }
+
+ if (sign && !wallet.SignTransaction(txNew)) {
+ error = _("Signing transaction failed");
+ return false;
+ }
+
+ // Return the constructed transaction data.
+ tx = MakeTransactionRef(std::move(txNew));
+
+ // Limit size
+ if ((sign && GetTransactionWeight(*tx) > MAX_STANDARD_TX_WEIGHT) ||
+ (!sign && tx_sizes.weight > MAX_STANDARD_TX_WEIGHT))
+ {
+ error = _("Transaction too large");
+ return false;
+ }
+
+ if (nFeeRet > wallet.m_default_max_tx_fee) {
+ error = TransactionErrorString(TransactionError::MAX_FEE_EXCEEDED);
+ return false;
+ }
+
+ if (gArgs.GetBoolArg("-walletrejectlongchains", DEFAULT_WALLET_REJECT_LONG_CHAINS)) {
+ // Lastly, ensure this tx will pass the mempool's chain limits
+ if (!wallet.chain().checkChainLimits(tx)) {
+ error = _("Transaction has too long of a mempool chain");
+ return false;
+ }
+ }
+
+ // Before we return success, we assume any change key will be used to prevent
+ // accidental re-use.
+ reservedest.KeepDestination();
+ fee_calc_out = feeCalc;
+
+ wallet.WalletLogPrintf("Fee Calculation: Fee:%d Bytes:%u Tgt:%d (requested %d) Reason:\"%s\" Decay %.5f: Estimation: (%g - %g) %.2f%% %.1f/(%.1f %d mem %.1f out) Fail: (%g - %g) %.2f%% %.1f/(%.1f %d mem %.1f out)\n",
+ nFeeRet, nBytes, feeCalc.returnedTarget, feeCalc.desiredTarget, StringForFeeReason(feeCalc.reason), feeCalc.est.decay,
+ feeCalc.est.pass.start, feeCalc.est.pass.end,
+ (feeCalc.est.pass.totalConfirmed + feeCalc.est.pass.inMempool + feeCalc.est.pass.leftMempool) > 0.0 ? 100 * feeCalc.est.pass.withinTarget / (feeCalc.est.pass.totalConfirmed + feeCalc.est.pass.inMempool + feeCalc.est.pass.leftMempool) : 0.0,
+ feeCalc.est.pass.withinTarget, feeCalc.est.pass.totalConfirmed, feeCalc.est.pass.inMempool, feeCalc.est.pass.leftMempool,
+ feeCalc.est.fail.start, feeCalc.est.fail.end,
+ (feeCalc.est.fail.totalConfirmed + feeCalc.est.fail.inMempool + feeCalc.est.fail.leftMempool) > 0.0 ? 100 * feeCalc.est.fail.withinTarget / (feeCalc.est.fail.totalConfirmed + feeCalc.est.fail.inMempool + feeCalc.est.fail.leftMempool) : 0.0,
+ feeCalc.est.fail.withinTarget, feeCalc.est.fail.totalConfirmed, feeCalc.est.fail.inMempool, feeCalc.est.fail.leftMempool);
+ return true;
+}
+
+bool CreateTransaction(
+ CWallet& wallet,
+ const std::vector<CRecipient>& vecSend,
+ CTransactionRef& tx,
+ CAmount& nFeeRet,
+ int& nChangePosInOut,
+ bilingual_str& error,
+ const CCoinControl& coin_control,
+ FeeCalculation& fee_calc_out,
+ bool sign)
+{
+ if (vecSend.empty()) {
+ error = _("Transaction must have at least one recipient");
+ return false;
+ }
+
+ if (std::any_of(vecSend.cbegin(), vecSend.cend(), [](const auto& recipient){ return recipient.nAmount < 0; })) {
+ error = _("Transaction amounts must not be negative");
+ return false;
+ }
+
+ LOCK(wallet.cs_wallet);
+
+ int nChangePosIn = nChangePosInOut;
+ Assert(!tx); // tx is an out-param. TODO change the return type from bool to tx (or nullptr)
+ bool res = CreateTransactionInternal(wallet, vecSend, tx, nFeeRet, nChangePosInOut, error, coin_control, fee_calc_out, sign);
+ // try with avoidpartialspends unless it's enabled already
+ if (res && nFeeRet > 0 /* 0 means non-functional fee rate estimation */ && wallet.m_max_aps_fee > -1 && !coin_control.m_avoid_partial_spends) {
+ CCoinControl tmp_cc = coin_control;
+ tmp_cc.m_avoid_partial_spends = true;
+ CAmount nFeeRet2;
+ CTransactionRef tx2;
+ int nChangePosInOut2 = nChangePosIn;
+ bilingual_str error2; // fired and forgotten; if an error occurs, we discard the results
+ if (CreateTransactionInternal(wallet, vecSend, tx2, nFeeRet2, nChangePosInOut2, error2, tmp_cc, fee_calc_out, sign)) {
+ // if fee of this alternative one is within the range of the max fee, we use this one
+ const bool use_aps = nFeeRet2 <= nFeeRet + wallet.m_max_aps_fee;
+ wallet.WalletLogPrintf("Fee non-grouped = %lld, grouped = %lld, using %s\n", nFeeRet, nFeeRet2, use_aps ? "grouped" : "non-grouped");
+ if (use_aps) {
+ tx = tx2;
+ nFeeRet = nFeeRet2;
+ nChangePosInOut = nChangePosInOut2;
+ }
+ }
+ }
+ return res;
+}
+
+bool FundTransaction(CWallet& wallet, CMutableTransaction& tx, CAmount& nFeeRet, int& nChangePosInOut, bilingual_str& error, bool lockUnspents, const std::set<int>& setSubtractFeeFromOutputs, CCoinControl coinControl)
+{
+ std::vector<CRecipient> vecSend;
+
+ // Turn the txout set into a CRecipient vector.
+ for (size_t idx = 0; idx < tx.vout.size(); idx++) {
+ const CTxOut& txOut = tx.vout[idx];
+ CRecipient recipient = {txOut.scriptPubKey, txOut.nValue, setSubtractFeeFromOutputs.count(idx) == 1};
+ vecSend.push_back(recipient);
+ }
+
+ coinControl.fAllowOtherInputs = true;
+
+ for (const CTxIn& txin : tx.vin) {
+ coinControl.Select(txin.prevout);
+ }
+
+ // Acquire the locks to prevent races to the new locked unspents between the
+ // CreateTransaction call and LockCoin calls (when lockUnspents is true).
+ LOCK(wallet.cs_wallet);
+
+ CTransactionRef tx_new;
+ FeeCalculation fee_calc_out;
+ if (!CreateTransaction(wallet, vecSend, tx_new, nFeeRet, nChangePosInOut, error, coinControl, fee_calc_out, false)) {
+ return false;
+ }
+
+ if (nChangePosInOut != -1) {
+ tx.vout.insert(tx.vout.begin() + nChangePosInOut, tx_new->vout[nChangePosInOut]);
+ }
+
+ // Copy output sizes from new transaction; they may have had the fee
+ // subtracted from them.
+ for (unsigned int idx = 0; idx < tx.vout.size(); idx++) {
+ tx.vout[idx].nValue = tx_new->vout[idx].nValue;
+ }
+
+ // Add new txins while keeping original txin scriptSig/order.
+ for (const CTxIn& txin : tx_new->vin) {
+ if (!coinControl.IsSelected(txin.prevout)) {
+ tx.vin.push_back(txin);
+
+ }
+ if (lockUnspents) {
+ wallet.LockCoin(txin.prevout);
+ }
+
+ }
+
+ return true;
+}
+} // namespace wallet
diff --git a/src/wallet/spend.h b/src/wallet/spend.h
new file mode 100644
index 0000000000..4453fb2762
--- /dev/null
+++ b/src/wallet/spend.h
@@ -0,0 +1,148 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_WALLET_SPEND_H
+#define BITCOIN_WALLET_SPEND_H
+
+#include <consensus/amount.h>
+#include <wallet/coinselection.h>
+#include <wallet/transaction.h>
+#include <wallet/wallet.h>
+
+namespace wallet {
+/** Get the marginal bytes if spending the specified output from this transaction */
+int GetTxSpendSize(const CWallet& wallet, const CWalletTx& wtx, unsigned int out, bool use_max_sig = false);
+
+class COutput
+{
+public:
+ const CWalletTx *tx;
+
+ /** Index in tx->vout. */
+ int i;
+
+ /**
+ * Depth in block chain.
+ * If > 0: the tx is on chain and has this many confirmations.
+ * If = 0: the tx is waiting confirmation.
+ * If < 0: a conflicting tx is on chain and has this many confirmations. */
+ int nDepth;
+
+ /** Pre-computed estimated size of this output as a fully-signed input in a transaction. Can be -1 if it could not be calculated */
+ int nInputBytes;
+
+ /** Whether we have the private keys to spend this output */
+ bool fSpendable;
+
+ /** Whether we know how to spend this output, ignoring the lack of keys */
+ bool fSolvable;
+
+ /** Whether to use the maximum sized, 72 byte signature when calculating the size of the input spend. This should only be set when watch-only outputs are allowed */
+ bool use_max_sig;
+
+ /**
+ * Whether this output is considered safe to spend. Unconfirmed transactions
+ * from outside keys and unconfirmed replacement transactions are considered
+ * unsafe and will not be used to fund new spending transactions.
+ */
+ bool fSafe;
+
+ COutput(const CWallet& wallet, const CWalletTx& wtx, int iIn, int nDepthIn, bool fSpendableIn, bool fSolvableIn, bool fSafeIn, bool use_max_sig_in = false)
+ {
+ tx = &wtx; i = iIn; nDepth = nDepthIn; fSpendable = fSpendableIn; fSolvable = fSolvableIn; fSafe = fSafeIn; nInputBytes = -1; use_max_sig = use_max_sig_in;
+ // If known and signable by the given wallet, compute nInputBytes
+ // Failure will keep this value -1
+ if (fSpendable) {
+ nInputBytes = GetTxSpendSize(wallet, wtx, i, use_max_sig);
+ }
+ }
+
+ std::string ToString() const;
+
+ inline CInputCoin GetInputCoin() const
+ {
+ return CInputCoin(tx->tx, i, nInputBytes);
+ }
+};
+
+//Get the marginal bytes of spending the specified output
+int CalculateMaximumSignedInputSize(const CTxOut& txout, const CWallet* pwallet, bool use_max_sig = false);
+int CalculateMaximumSignedInputSize(const CTxOut& txout, const SigningProvider* pwallet, bool use_max_sig = false);
+
+struct TxSize {
+ int64_t vsize{-1};
+ int64_t weight{-1};
+};
+
+/** Calculate the size of the transaction assuming all signatures are max size
+* Use DummySignatureCreator, which inserts 71 byte signatures everywhere.
+* NOTE: this requires that all inputs must be in mapWallet (eg the tx should
+* be AllInputsMine). */
+TxSize CalculateMaximumSignedTxSize(const CTransaction& tx, const CWallet* wallet, const std::vector<CTxOut>& txouts, const CCoinControl* coin_control = nullptr);
+TxSize CalculateMaximumSignedTxSize(const CTransaction& tx, const CWallet* wallet, const CCoinControl* coin_control = nullptr) EXCLUSIVE_LOCKS_REQUIRED(wallet->cs_wallet);
+
+/**
+ * populate vCoins with vector of available COutputs.
+ */
+void AvailableCoins(const CWallet& wallet, std::vector<COutput>& vCoins, const CCoinControl* coinControl = nullptr, const CAmount& nMinimumAmount = 1, const CAmount& nMaximumAmount = MAX_MONEY, const CAmount& nMinimumSumAmount = MAX_MONEY, const uint64_t nMaximumCount = 0) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+
+CAmount GetAvailableBalance(const CWallet& wallet, const CCoinControl* coinControl = nullptr);
+
+/**
+ * Find non-change parent output.
+ */
+const CTxOut& FindNonChangeParentOutput(const CWallet& wallet, const CTransaction& tx, int output) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+
+/**
+ * Return list of available coins and locked coins grouped by non-change output address.
+ */
+std::map<CTxDestination, std::vector<COutput>> ListCoins(const CWallet& wallet) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+
+std::vector<OutputGroup> GroupOutputs(const CWallet& wallet, const std::vector<COutput>& outputs, const CoinSelectionParams& coin_sel_params, const CoinEligibilityFilter& filter, bool positive_only);
+
+/**
+ * Attempt to find a valid input set that meets the provided eligibility filter and target.
+ * Multiple coin selection algorithms will be run and the input set that produces the least waste
+ * (according to the waste metric) will be chosen.
+ *
+ * param@[in] wallet The wallet which provides solving data for the coins
+ * param@[in] nTargetValue The target value
+ * param@[in] eligilibity_filter A filter containing rules for which coins are allowed to be included in this selection
+ * param@[in] coins The vector of coins available for selection prior to filtering
+ * param@[in] coin_selection_params Parameters for the coin selection
+ * returns If successful, a SelectionResult containing the input set
+ * If failed, a nullopt
+ */
+std::optional<SelectionResult> AttemptSelection(const CWallet& wallet, const CAmount& nTargetValue, const CoinEligibilityFilter& eligibility_filter, std::vector<COutput> coins,
+ const CoinSelectionParams& coin_selection_params);
+
+/**
+ * Select a set of coins such that nTargetValue is met and at least
+ * all coins from coin_control are selected; never select unconfirmed coins if they are not ours
+ * param@[in] wallet The wallet which provides data necessary to spend the selected coins
+ * param@[in] vAvailableCoins The vector of coins available to be spent
+ * param@[in] nTargetValue The target value
+ * param@[in] coin_selection_params Parameters for this coin selection such as feerates, whether to avoid partial spends,
+ * and whether to subtract the fee from the outputs.
+ * returns If successful, a SelectionResult containing the selected coins
+ * If failed, a nullopt.
+ */
+std::optional<SelectionResult> SelectCoins(const CWallet& wallet, const std::vector<COutput>& vAvailableCoins, const CAmount& nTargetValue, const CCoinControl& coin_control,
+ const CoinSelectionParams& coin_selection_params) EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet);
+
+/**
+ * Create a new transaction paying the recipients with a set of coins
+ * selected by SelectCoins(); Also create the change output, when needed
+ * @note passing nChangePosInOut as -1 will result in setting a random position
+ */
+bool CreateTransaction(CWallet& wallet, const std::vector<CRecipient>& vecSend, CTransactionRef& tx, CAmount& nFeeRet, int& nChangePosInOut, bilingual_str& error, const CCoinControl& coin_control, FeeCalculation& fee_calc_out, bool sign = true);
+
+/**
+ * Insert additional inputs into the transaction by
+ * calling CreateTransaction();
+ */
+bool FundTransaction(CWallet& wallet, CMutableTransaction& tx, CAmount& nFeeRet, int& nChangePosInOut, bilingual_str& error, bool lockUnspents, const std::set<int>& setSubtractFeeFromOutputs, CCoinControl);
+} // namespace wallet
+
+#endif // BITCOIN_WALLET_SPEND_H
diff --git a/src/wallet/sqlite.cpp b/src/wallet/sqlite.cpp
index 0fb3b1d3c4..2b2181e70b 100644
--- a/src/wallet/sqlite.cpp
+++ b/src/wallet/sqlite.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -8,7 +8,6 @@
#include <crypto/common.h>
#include <logging.h>
#include <sync.h>
-#include <util/memory.h>
#include <util/strencodings.h>
#include <util/system.h>
#include <util/translation.h>
@@ -17,6 +16,11 @@
#include <sqlite3.h>
#include <stdint.h>
+#include <optional>
+#include <utility>
+#include <vector>
+
+namespace wallet {
static constexpr int32_t WALLET_SCHEMA_VERSION = 0;
static Mutex g_sqlite_mutex;
@@ -33,8 +37,38 @@ static void ErrorLogCallback(void* arg, int code, const char* msg)
LogPrintf("SQLite Error. Code: %d. Message: %s\n", code, msg);
}
+static std::optional<int> ReadPragmaInteger(sqlite3* db, const std::string& key, const std::string& description, bilingual_str& error)
+{
+ std::string stmt_text = strprintf("PRAGMA %s", key);
+ sqlite3_stmt* pragma_read_stmt{nullptr};
+ int ret = sqlite3_prepare_v2(db, stmt_text.c_str(), -1, &pragma_read_stmt, nullptr);
+ if (ret != SQLITE_OK) {
+ sqlite3_finalize(pragma_read_stmt);
+ error = Untranslated(strprintf("SQLiteDatabase: Failed to prepare the statement to fetch %s: %s", description, sqlite3_errstr(ret)));
+ return std::nullopt;
+ }
+ ret = sqlite3_step(pragma_read_stmt);
+ if (ret != SQLITE_ROW) {
+ sqlite3_finalize(pragma_read_stmt);
+ error = Untranslated(strprintf("SQLiteDatabase: Failed to fetch %s: %s", description, sqlite3_errstr(ret)));
+ return std::nullopt;
+ }
+ int result = sqlite3_column_int(pragma_read_stmt, 0);
+ sqlite3_finalize(pragma_read_stmt);
+ return result;
+}
+
+static void SetPragma(sqlite3* db, const std::string& key, const std::string& value, const std::string& err_msg)
+{
+ std::string stmt_text = strprintf("PRAGMA %s = %s", key, value);
+ int ret = sqlite3_exec(db, stmt_text.c_str(), nullptr, nullptr, nullptr);
+ if (ret != SQLITE_OK) {
+ throw std::runtime_error(strprintf("SQLiteDatabase: %s: %s\n", err_msg, sqlite3_errstr(ret)));
+ }
+}
+
SQLiteDatabase::SQLiteDatabase(const fs::path& dir_path, const fs::path& file_path, bool mock)
- : WalletDatabase(), m_mock(mock), m_dir_path(dir_path.string()), m_file_path(file_path.string())
+ : WalletDatabase(), m_mock(mock), m_dir_path(fs::PathToString(dir_path)), m_file_path(fs::PathToString(file_path))
{
{
LOCK(g_sqlite_mutex);
@@ -70,30 +104,21 @@ SQLiteDatabase::SQLiteDatabase(const fs::path& dir_path, const fs::path& file_pa
void SQLiteBatch::SetupSQLStatements()
{
- int res;
- if (!m_read_stmt) {
- if ((res = sqlite3_prepare_v2(m_database.m_db, "SELECT value FROM main WHERE key = ?", -1, &m_read_stmt, nullptr)) != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to setup SQL statements: %s\n", sqlite3_errstr(res)));
- }
- }
- if (!m_insert_stmt) {
- if ((res = sqlite3_prepare_v2(m_database.m_db, "INSERT INTO main VALUES(?, ?)", -1, &m_insert_stmt, nullptr)) != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to setup SQL statements: %s\n", sqlite3_errstr(res)));
- }
- }
- if (!m_overwrite_stmt) {
- if ((res = sqlite3_prepare_v2(m_database.m_db, "INSERT or REPLACE into main values(?, ?)", -1, &m_overwrite_stmt, nullptr)) != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to setup SQL statements: %s\n", sqlite3_errstr(res)));
- }
- }
- if (!m_delete_stmt) {
- if ((res = sqlite3_prepare_v2(m_database.m_db, "DELETE FROM main WHERE key = ?", -1, &m_delete_stmt, nullptr)) != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to setup SQL statements: %s\n", sqlite3_errstr(res)));
- }
- }
- if (!m_cursor_stmt) {
- if ((res = sqlite3_prepare_v2(m_database.m_db, "SELECT key, value FROM main", -1, &m_cursor_stmt, nullptr)) != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to setup SQL statements : %s\n", sqlite3_errstr(res)));
+ const std::vector<std::pair<sqlite3_stmt**, const char*>> statements{
+ {&m_read_stmt, "SELECT value FROM main WHERE key = ?"},
+ {&m_insert_stmt, "INSERT INTO main VALUES(?, ?)"},
+ {&m_overwrite_stmt, "INSERT or REPLACE into main values(?, ?)"},
+ {&m_delete_stmt, "DELETE FROM main WHERE key = ?"},
+ {&m_cursor_stmt, "SELECT key, value FROM main"},
+ };
+
+ for (const auto& [stmt_prepared, stmt_text] : statements) {
+ if (*stmt_prepared == nullptr) {
+ int res = sqlite3_prepare_v2(m_database.m_db, stmt_text, -1, stmt_prepared, nullptr);
+ if (res != SQLITE_OK) {
+ throw std::runtime_error(strprintf(
+ "SQLiteDatabase: Failed to setup SQL statements: %s\n", sqlite3_errstr(res)));
+ }
}
}
}
@@ -121,21 +146,9 @@ bool SQLiteDatabase::Verify(bilingual_str& error)
assert(m_db);
// Check the application ID matches our network magic
- sqlite3_stmt* app_id_stmt{nullptr};
- int ret = sqlite3_prepare_v2(m_db, "PRAGMA application_id", -1, &app_id_stmt, nullptr);
- if (ret != SQLITE_OK) {
- sqlite3_finalize(app_id_stmt);
- error = strprintf(_("SQLiteDatabase: Failed to prepare the statement to fetch the application id: %s"), sqlite3_errstr(ret));
- return false;
- }
- ret = sqlite3_step(app_id_stmt);
- if (ret != SQLITE_ROW) {
- sqlite3_finalize(app_id_stmt);
- error = strprintf(_("SQLiteDatabase: Failed to fetch the application id: %s"), sqlite3_errstr(ret));
- return false;
- }
- uint32_t app_id = static_cast<uint32_t>(sqlite3_column_int(app_id_stmt, 0));
- sqlite3_finalize(app_id_stmt);
+ auto read_result = ReadPragmaInteger(m_db, "application_id", "the application id", error);
+ if (!read_result.has_value()) return false;
+ uint32_t app_id = static_cast<uint32_t>(read_result.value());
uint32_t net_magic = ReadBE32(Params().MessageStart());
if (app_id != net_magic) {
error = strprintf(_("SQLiteDatabase: Unexpected application id. Expected %u, got %u"), net_magic, app_id);
@@ -143,28 +156,16 @@ bool SQLiteDatabase::Verify(bilingual_str& error)
}
// Check our schema version
- sqlite3_stmt* user_ver_stmt{nullptr};
- ret = sqlite3_prepare_v2(m_db, "PRAGMA user_version", -1, &user_ver_stmt, nullptr);
- if (ret != SQLITE_OK) {
- sqlite3_finalize(user_ver_stmt);
- error = strprintf(_("SQLiteDatabase: Failed to prepare the statement to fetch sqlite wallet schema version: %s"), sqlite3_errstr(ret));
- return false;
- }
- ret = sqlite3_step(user_ver_stmt);
- if (ret != SQLITE_ROW) {
- sqlite3_finalize(user_ver_stmt);
- error = strprintf(_("SQLiteDatabase: Failed to fetch sqlite wallet schema version: %s"), sqlite3_errstr(ret));
- return false;
- }
- int32_t user_ver = sqlite3_column_int(user_ver_stmt, 0);
- sqlite3_finalize(user_ver_stmt);
+ read_result = ReadPragmaInteger(m_db, "user_version", "sqlite wallet schema version", error);
+ if (!read_result.has_value()) return false;
+ int32_t user_ver = read_result.value();
if (user_ver != WALLET_SCHEMA_VERSION) {
error = strprintf(_("SQLiteDatabase: Unknown sqlite wallet schema version %d. Only version %d is supported"), user_ver, WALLET_SCHEMA_VERSION);
return false;
}
sqlite3_stmt* stmt{nullptr};
- ret = sqlite3_prepare_v2(m_db, "PRAGMA integrity_check", -1, &stmt, nullptr);
+ int ret = sqlite3_prepare_v2(m_db, "PRAGMA integrity_check", -1, &stmt, nullptr);
if (ret != SQLITE_OK) {
sqlite3_finalize(stmt);
error = strprintf(_("SQLiteDatabase: Failed to prepare statement to verify database: %s"), sqlite3_errstr(ret));
@@ -206,12 +207,16 @@ void SQLiteDatabase::Open()
if (m_db == nullptr) {
if (!m_mock) {
- TryCreateDirectories(m_dir_path);
+ TryCreateDirectories(fs::PathFromString(m_dir_path));
}
int ret = sqlite3_open_v2(m_file_path.c_str(), &m_db, flags, nullptr);
if (ret != SQLITE_OK) {
throw std::runtime_error(strprintf("SQLiteDatabase: Failed to open database: %s\n", sqlite3_errstr(ret)));
}
+ ret = sqlite3_extended_result_codes(m_db, 1);
+ if (ret != SQLITE_OK) {
+ throw std::runtime_error(strprintf("SQLiteDatabase: Failed to enable extended result codes: %s\n", sqlite3_errstr(ret)));
+ }
}
if (sqlite3_db_readonly(m_db, "main") != 0) {
@@ -220,14 +225,11 @@ void SQLiteDatabase::Open()
// Acquire an exclusive lock on the database
// First change the locking mode to exclusive
- int ret = sqlite3_exec(m_db, "PRAGMA locking_mode = exclusive", nullptr, nullptr, nullptr);
- if (ret != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Unable to change database locking mode to exclusive: %s\n", sqlite3_errstr(ret)));
- }
+ SetPragma(m_db, "locking_mode", "exclusive", "Unable to change database locking mode to exclusive");
// Now begin a transaction to acquire the exclusive lock. This lock won't be released until we close because of the exclusive locking mode.
- ret = sqlite3_exec(m_db, "BEGIN EXCLUSIVE TRANSACTION", nullptr, nullptr, nullptr);
+ int ret = sqlite3_exec(m_db, "BEGIN EXCLUSIVE TRANSACTION", nullptr, nullptr, nullptr);
if (ret != SQLITE_OK) {
- throw std::runtime_error("SQLiteDatabase: Unable to obtain an exclusive lock on the database, is it being used by another bitcoind?\n");
+ throw std::runtime_error("SQLiteDatabase: Unable to obtain an exclusive lock on the database, is it being used by another instance of " PACKAGE_NAME "?\n");
}
ret = sqlite3_exec(m_db, "COMMIT", nullptr, nullptr, nullptr);
if (ret != SQLITE_OK) {
@@ -235,9 +237,12 @@ void SQLiteDatabase::Open()
}
// Enable fullfsync for the platforms that use it
- ret = sqlite3_exec(m_db, "PRAGMA fullfsync = true", nullptr, nullptr, nullptr);
- if (ret != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to enable fullfsync: %s\n", sqlite3_errstr(ret)));
+ SetPragma(m_db, "fullfsync", "true", "Failed to enable fullfsync");
+
+ if (gArgs.GetBoolArg("-unsafesqlitesync", false)) {
+ // Use normal synchronous mode for the journal
+ LogPrintf("WARNING SQLite is configured to not wait for data to be flushed to disk. Data loss and corruption may occur.\n");
+ SetPragma(m_db, "synchronous", "OFF", "Failed to set synchronous mode to OFF");
}
// Make the table for our key-value pairs
@@ -269,18 +274,12 @@ void SQLiteDatabase::Open()
// Set the application id
uint32_t app_id = ReadBE32(Params().MessageStart());
- std::string set_app_id = strprintf("PRAGMA application_id = %d", static_cast<int32_t>(app_id));
- ret = sqlite3_exec(m_db, set_app_id.c_str(), nullptr, nullptr, nullptr);
- if (ret != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to set the application id: %s\n", sqlite3_errstr(ret)));
- }
+ SetPragma(m_db, "application_id", strprintf("%d", static_cast<int32_t>(app_id)),
+ "Failed to set the application id");
// Set the user version
- std::string set_user_ver = strprintf("PRAGMA user_version = %d", WALLET_SCHEMA_VERSION);
- ret = sqlite3_exec(m_db, set_user_ver.c_str(), nullptr, nullptr, nullptr);
- if (ret != SQLITE_OK) {
- throw std::runtime_error(strprintf("SQLiteDatabase: Failed to set the wallet schema version: %s\n", sqlite3_errstr(ret)));
- }
+ SetPragma(m_db, "user_version", strprintf("%d", WALLET_SCHEMA_VERSION),
+ "Failed to set the wallet schema version");
}
}
@@ -330,7 +329,7 @@ void SQLiteDatabase::Close()
std::unique_ptr<DatabaseBatch> SQLiteDatabase::MakeBatch(bool flush_on_close)
{
// We ignore flush_on_close because we don't do manual flushing for SQLite
- return MakeUnique<SQLiteBatch>(*this);
+ return std::make_unique<SQLiteBatch>(*this);
}
SQLiteBatch::SQLiteBatch(SQLiteDatabase& database)
@@ -354,31 +353,22 @@ void SQLiteBatch::Close()
}
// Free all of the prepared statements
- int ret = sqlite3_finalize(m_read_stmt);
- if (ret != SQLITE_OK) {
- LogPrintf("SQLiteBatch: Batch closed but could not finalize read statement: %s\n", sqlite3_errstr(ret));
- }
- ret = sqlite3_finalize(m_insert_stmt);
- if (ret != SQLITE_OK) {
- LogPrintf("SQLiteBatch: Batch closed but could not finalize insert statement: %s\n", sqlite3_errstr(ret));
- }
- ret = sqlite3_finalize(m_overwrite_stmt);
- if (ret != SQLITE_OK) {
- LogPrintf("SQLiteBatch: Batch closed but could not finalize overwrite statement: %s\n", sqlite3_errstr(ret));
- }
- ret = sqlite3_finalize(m_delete_stmt);
- if (ret != SQLITE_OK) {
- LogPrintf("SQLiteBatch: Batch closed but could not finalize delete statement: %s\n", sqlite3_errstr(ret));
- }
- ret = sqlite3_finalize(m_cursor_stmt);
- if (ret != SQLITE_OK) {
- LogPrintf("SQLiteBatch: Batch closed but could not finalize cursor statement: %s\n", sqlite3_errstr(ret));
+ const std::vector<std::pair<sqlite3_stmt**, const char*>> statements{
+ {&m_read_stmt, "read"},
+ {&m_insert_stmt, "insert"},
+ {&m_overwrite_stmt, "overwrite"},
+ {&m_delete_stmt, "delete"},
+ {&m_cursor_stmt, "cursor"},
+ };
+
+ for (const auto& [stmt_prepared, stmt_description] : statements) {
+ int res = sqlite3_finalize(*stmt_prepared);
+ if (res != SQLITE_OK) {
+ LogPrintf("SQLiteBatch: Batch closed but could not finalize %s statement: %s\n",
+ stmt_description, sqlite3_errstr(res));
+ }
+ *stmt_prepared = nullptr;
}
- m_read_stmt = nullptr;
- m_insert_stmt = nullptr;
- m_overwrite_stmt = nullptr;
- m_delete_stmt = nullptr;
- m_cursor_stmt = nullptr;
}
bool SQLiteBatch::ReadKey(CDataStream&& key, CDataStream& value)
@@ -405,9 +395,9 @@ bool SQLiteBatch::ReadKey(CDataStream&& key, CDataStream& value)
return false;
}
// Leftmost column in result is index 0
- const char* data = reinterpret_cast<const char*>(sqlite3_column_blob(m_read_stmt, 0));
- int data_size = sqlite3_column_bytes(m_read_stmt, 0);
- value.write(data, data_size);
+ const std::byte* data{BytePtr(sqlite3_column_blob(m_read_stmt, 0))};
+ size_t data_size(sqlite3_column_bytes(m_read_stmt, 0));
+ value.write({data, data_size});
sqlite3_clear_bindings(m_read_stmt);
sqlite3_reset(m_read_stmt);
@@ -522,12 +512,12 @@ bool SQLiteBatch::ReadAtCursor(CDataStream& key, CDataStream& value, bool& compl
}
// Leftmost column in result is index 0
- const char* key_data = reinterpret_cast<const char*>(sqlite3_column_blob(m_cursor_stmt, 0));
- int key_data_size = sqlite3_column_bytes(m_cursor_stmt, 0);
- key.write(key_data, key_data_size);
- const char* value_data = reinterpret_cast<const char*>(sqlite3_column_blob(m_cursor_stmt, 1));
- int value_data_size = sqlite3_column_bytes(m_cursor_stmt, 1);
- value.write(value_data, value_data_size);
+ const std::byte* key_data{BytePtr(sqlite3_column_blob(m_cursor_stmt, 0))};
+ size_t key_data_size(sqlite3_column_bytes(m_cursor_stmt, 0));
+ key.write({key_data, key_data_size});
+ const std::byte* value_data{BytePtr(sqlite3_column_blob(m_cursor_stmt, 1))};
+ size_t value_data_size(sqlite3_column_bytes(m_cursor_stmt, 1));
+ value.write({value_data, value_data_size});
return true;
}
@@ -571,7 +561,7 @@ std::unique_ptr<SQLiteDatabase> MakeSQLiteDatabase(const fs::path& path, const D
{
try {
fs::path data_file = SQLiteDataFile(path);
- auto db = MakeUnique<SQLiteDatabase>(data_file.parent_path(), data_file);
+ auto db = std::make_unique<SQLiteDatabase>(data_file.parent_path(), data_file);
if (options.verify && !db->Verify(error)) {
status = DatabaseStatus::FAILED_VERIFY;
return nullptr;
@@ -589,3 +579,4 @@ std::string SQLiteDatabaseVersion()
{
return std::string(sqlite3_libversion());
}
+} // namespace wallet
diff --git a/src/wallet/sqlite.h b/src/wallet/sqlite.h
index 70ab4f797a..3ed598d0d2 100644
--- a/src/wallet/sqlite.h
+++ b/src/wallet/sqlite.h
@@ -10,6 +10,8 @@
#include <sqlite3.h>
struct bilingual_str;
+
+namespace wallet {
class SQLiteDatabase;
/** RAII class that provides access to a WalletDatabase */
@@ -116,5 +118,6 @@ public:
std::unique_ptr<SQLiteDatabase> MakeSQLiteDatabase(const fs::path& path, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error);
std::string SQLiteDatabaseVersion();
+} // namespace wallet
#endif // BITCOIN_WALLET_SQLITE_H
diff --git a/src/wallet/test/coinselector_tests.cpp b/src/wallet/test/coinselector_tests.cpp
index ffac78d752..b9f12158ca 100644
--- a/src/wallet/test/coinselector_tests.cpp
+++ b/src/wallet/test/coinselector_tests.cpp
@@ -1,20 +1,24 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <amount.h>
+#include <consensus/amount.h>
#include <node/context.h>
#include <primitives/transaction.h>
#include <random.h>
#include <test/util/setup_common.h>
+#include <util/translation.h>
#include <wallet/coincontrol.h>
#include <wallet/coinselection.h>
+#include <wallet/spend.h>
#include <wallet/test/wallet_test_fixture.h>
#include <wallet/wallet.h>
+#include <algorithm>
#include <boost/test/unit_test.hpp>
#include <random>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(coinselector_tests, WalletTestingSetup)
// how many times to run all the tests to have a chance to catch errors that only show up with particular random shuffles
@@ -26,44 +30,54 @@ BOOST_FIXTURE_TEST_SUITE(coinselector_tests, WalletTestingSetup)
typedef std::set<CInputCoin> CoinSet;
-static std::vector<COutput> vCoins;
-static NodeContext testNode;
-static auto testChain = interfaces::MakeChain(testNode);
-static CWallet testWallet(testChain.get(), "", CreateDummyWalletDatabase());
-static CAmount balance = 0;
-
-CoinEligibilityFilter filter_standard(1, 6, 0);
-CoinEligibilityFilter filter_confirmed(1, 1, 0);
-CoinEligibilityFilter filter_standard_extra(6, 6, 0);
-CoinSelectionParams coin_selection_params(false, 0, 0, CFeeRate(0), 0, false);
+static const CoinEligibilityFilter filter_standard(1, 6, 0);
+static const CoinEligibilityFilter filter_confirmed(1, 1, 0);
+static const CoinEligibilityFilter filter_standard_extra(6, 6, 0);
+static int nextLockTime = 0;
static void add_coin(const CAmount& nValue, int nInput, std::vector<CInputCoin>& set)
{
CMutableTransaction tx;
tx.vout.resize(nInput + 1);
tx.vout[nInput].nValue = nValue;
+ tx.nLockTime = nextLockTime++; // so all transactions get different hashes
set.emplace_back(MakeTransactionRef(tx), nInput);
}
-static void add_coin(const CAmount& nValue, int nInput, CoinSet& set)
+static void add_coin(const CAmount& nValue, int nInput, SelectionResult& result)
+{
+ CMutableTransaction tx;
+ tx.vout.resize(nInput + 1);
+ tx.vout[nInput].nValue = nValue;
+ tx.nLockTime = nextLockTime++; // so all transactions get different hashes
+ CInputCoin coin(MakeTransactionRef(tx), nInput);
+ OutputGroup group;
+ group.Insert(coin, 1, false, 0, 0, true);
+ result.AddInput(group);
+}
+
+static void add_coin(const CAmount& nValue, int nInput, CoinSet& set, CAmount fee = 0, CAmount long_term_fee = 0)
{
CMutableTransaction tx;
tx.vout.resize(nInput + 1);
tx.vout[nInput].nValue = nValue;
- set.emplace(MakeTransactionRef(tx), nInput);
+ tx.nLockTime = nextLockTime++; // so all transactions get different hashes
+ CInputCoin coin(MakeTransactionRef(tx), nInput);
+ coin.effective_value = nValue - fee;
+ coin.m_fee = fee;
+ coin.m_long_term_fee = long_term_fee;
+ set.insert(coin);
}
-static void add_coin(CWallet& wallet, const CAmount& nValue, int nAge = 6*24, bool fIsFromMe = false, int nInput=0, bool spendable = false)
+static void add_coin(std::vector<COutput>& coins, CWallet& wallet, const CAmount& nValue, int nAge = 6*24, bool fIsFromMe = false, int nInput=0, bool spendable = false)
{
- balance += nValue;
- static int nextLockTime = 0;
CMutableTransaction tx;
tx.nLockTime = nextLockTime++; // so all transactions get different hashes
tx.vout.resize(nInput + 1);
tx.vout[nInput].nValue = nValue;
if (spendable) {
CTxDestination dest;
- std::string error;
+ bilingual_str error;
const bool destination_ok = wallet.GetNewDestination(OutputType::BECH32, "", dest, error);
assert(destination_ok);
tx.vout[nInput].scriptPubKey = GetScriptForDestination(dest);
@@ -73,30 +87,45 @@ static void add_coin(CWallet& wallet, const CAmount& nValue, int nAge = 6*24, bo
// so stop vin being empty, and cache a non-zero Debit to fake out IsFromMe()
tx.vin.resize(1);
}
- CWalletTx* wtx = wallet.AddToWallet(MakeTransactionRef(std::move(tx)), /* confirm= */ {});
+ uint256 txid = tx.GetHash();
+
+ LOCK(wallet.cs_wallet);
+ auto ret = wallet.mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(txid), std::forward_as_tuple(MakeTransactionRef(std::move(tx)), TxStateInactive{}));
+ assert(ret.second);
+ CWalletTx& wtx = (*ret.first).second;
if (fIsFromMe)
{
- wtx->m_amounts[CWalletTx::DEBIT].Set(ISMINE_SPENDABLE, 1);
- wtx->m_is_cache_empty = false;
+ wtx.m_amounts[CWalletTx::DEBIT].Set(ISMINE_SPENDABLE, 1);
+ wtx.m_is_cache_empty = false;
}
- COutput output(wtx, nInput, nAge, true /* spendable */, true /* solvable */, true /* safe */);
- vCoins.push_back(output);
-}
-static void add_coin(const CAmount& nValue, int nAge = 6*24, bool fIsFromMe = false, int nInput=0, bool spendable = false)
-{
- add_coin(testWallet, nValue, nAge, fIsFromMe, nInput, spendable);
+ COutput output(wallet, wtx, nInput, nAge, true /* spendable */, true /* solvable */, true /* safe */);
+ coins.push_back(output);
}
-static void empty_wallet(void)
+/** Check if SelectionResult a is equivalent to SelectionResult b.
+ * Equivalent means same input values, but maybe different inputs (i.e. same value, different prevout) */
+static bool EquivalentResult(const SelectionResult& a, const SelectionResult& b)
{
- vCoins.clear();
- balance = 0;
+ std::vector<CAmount> a_amts;
+ std::vector<CAmount> b_amts;
+ for (const auto& coin : a.GetInputSet()) {
+ a_amts.push_back(coin.txout.nValue);
+ }
+ for (const auto& coin : b.GetInputSet()) {
+ b_amts.push_back(coin.txout.nValue);
+ }
+ std::sort(a_amts.begin(), a_amts.end());
+ std::sort(b_amts.begin(), b_amts.end());
+
+ std::pair<std::vector<CAmount>::iterator, std::vector<CAmount>::iterator> ret = std::mismatch(a_amts.begin(), a_amts.end(), b_amts.begin());
+ return ret.first == a_amts.end() && ret.second == b_amts.end();
}
-static bool equal_sets(CoinSet a, CoinSet b)
+/** Check if this selection is equal to another one. Equal means same inputs (i.e same value and prevout) */
+static bool EqualResult(const SelectionResult& a, const SelectionResult& b)
{
- std::pair<CoinSet::iterator, CoinSet::iterator> ret = mismatch(a.begin(), a.end(), b.begin());
- return ret.first == a.end() && ret.second == b.end();
+ std::pair<CoinSet::iterator, CoinSet::iterator> ret = std::mismatch(a.GetInputSet().begin(), a.GetInputSet().end(), b.GetInputSet().begin());
+ return ret.first == a.GetInputSet().end() && ret.second == b.GetInputSet().end();
}
static CAmount make_hard_case(int utxos, std::vector<CInputCoin>& utxo_pool)
@@ -133,27 +162,30 @@ inline std::vector<OutputGroup>& GroupCoins(const std::vector<COutput>& coins)
return static_groups;
}
+inline std::vector<OutputGroup>& KnapsackGroupOutputs(const std::vector<COutput>& coins, CWallet& wallet, const CoinEligibilityFilter& filter)
+{
+ CoinSelectionParams coin_selection_params(/* change_output_size= */ 0,
+ /* change_spend_size= */ 0, /* effective_feerate= */ CFeeRate(0),
+ /* long_term_feerate= */ CFeeRate(0), /* discard_feerate= */ CFeeRate(0),
+ /* tx_noinputs_size= */ 0, /* avoid_partial= */ false);
+ static std::vector<OutputGroup> static_groups;
+ static_groups = GroupOutputs(wallet, coins, coin_selection_params, filter, /*positive_only=*/false);
+ return static_groups;
+}
+
// Branch and bound coin selection tests
BOOST_AUTO_TEST_CASE(bnb_search_test)
{
-
- LOCK(testWallet.cs_wallet);
- testWallet.SetupLegacyScriptPubKeyMan();
-
// Setup
std::vector<CInputCoin> utxo_pool;
- CoinSet selection;
- CoinSet actual_selection;
- CAmount value_ret = 0;
- CAmount not_input_fees = 0;
+ SelectionResult expected_result(CAmount(0));
/////////////////////////
// Known Outcome tests //
/////////////////////////
// Empty utxo pool
- BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 1 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- selection.clear();
+ BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 1 * CENT, 0.5 * CENT));
// Add utxos
add_coin(1 * CENT, 1, utxo_pool);
@@ -162,87 +194,86 @@ BOOST_AUTO_TEST_CASE(bnb_search_test)
add_coin(4 * CENT, 4, utxo_pool);
// Select 1 Cent
- add_coin(1 * CENT, 1, actual_selection);
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), 1 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- BOOST_CHECK(equal_sets(selection, actual_selection));
- BOOST_CHECK_EQUAL(value_ret, 1 * CENT);
- actual_selection.clear();
- selection.clear();
+ add_coin(1 * CENT, 1, expected_result);
+ const auto result1 = SelectCoinsBnB(GroupCoins(utxo_pool), 1 * CENT, 0.5 * CENT);
+ BOOST_CHECK(result1);
+ BOOST_CHECK(EquivalentResult(expected_result, *result1));
+ BOOST_CHECK_EQUAL(result1->GetSelectedValue(), 1 * CENT);
+ expected_result.Clear();
// Select 2 Cent
- add_coin(2 * CENT, 2, actual_selection);
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), 2 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- BOOST_CHECK(equal_sets(selection, actual_selection));
- BOOST_CHECK_EQUAL(value_ret, 2 * CENT);
- actual_selection.clear();
- selection.clear();
+ add_coin(2 * CENT, 2, expected_result);
+ const auto result2 = SelectCoinsBnB(GroupCoins(utxo_pool), 2 * CENT, 0.5 * CENT);
+ BOOST_CHECK(result2);
+ BOOST_CHECK(EquivalentResult(expected_result, *result2));
+ BOOST_CHECK_EQUAL(result2->GetSelectedValue(), 2 * CENT);
+ expected_result.Clear();
// Select 5 Cent
- add_coin(4 * CENT, 4, actual_selection);
- add_coin(1 * CENT, 1, actual_selection);
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), 5 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- BOOST_CHECK(equal_sets(selection, actual_selection));
- BOOST_CHECK_EQUAL(value_ret, 5 * CENT);
- actual_selection.clear();
- selection.clear();
+ add_coin(4 * CENT, 4, expected_result);
+ add_coin(1 * CENT, 1, expected_result);
+ const auto result3 = SelectCoinsBnB(GroupCoins(utxo_pool), 5 * CENT, 0.5 * CENT);
+ BOOST_CHECK(result3);
+ BOOST_CHECK(EquivalentResult(expected_result, *result3));
+ BOOST_CHECK_EQUAL(result3->GetSelectedValue(), 5 * CENT);
+ expected_result.Clear();
// Select 11 Cent, not possible
- BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 11 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- actual_selection.clear();
- selection.clear();
+ BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 11 * CENT, 0.5 * CENT));
+ expected_result.Clear();
// Cost of change is greater than the difference between target value and utxo sum
- add_coin(1 * CENT, 1, actual_selection);
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), 0.9 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- BOOST_CHECK_EQUAL(value_ret, 1 * CENT);
- BOOST_CHECK(equal_sets(selection, actual_selection));
- actual_selection.clear();
- selection.clear();
+ add_coin(1 * CENT, 1, expected_result);
+ const auto result4 = SelectCoinsBnB(GroupCoins(utxo_pool), 0.9 * CENT, 0.5 * CENT);
+ BOOST_CHECK(result4);
+ BOOST_CHECK_EQUAL(result4->GetSelectedValue(), 1 * CENT);
+ BOOST_CHECK(EquivalentResult(expected_result, *result4));
+ expected_result.Clear();
// Cost of change is less than the difference between target value and utxo sum
- BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 0.9 * CENT, 0, selection, value_ret, not_input_fees));
- actual_selection.clear();
- selection.clear();
+ BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 0.9 * CENT, 0));
+ expected_result.Clear();
// Select 10 Cent
add_coin(5 * CENT, 5, utxo_pool);
- add_coin(5 * CENT, 5, actual_selection);
- add_coin(4 * CENT, 4, actual_selection);
- add_coin(1 * CENT, 1, actual_selection);
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), 10 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- BOOST_CHECK(equal_sets(selection, actual_selection));
- BOOST_CHECK_EQUAL(value_ret, 10 * CENT);
- actual_selection.clear();
- selection.clear();
+ add_coin(5 * CENT, 5, expected_result);
+ add_coin(4 * CENT, 4, expected_result);
+ add_coin(1 * CENT, 1, expected_result);
+ const auto result5 = SelectCoinsBnB(GroupCoins(utxo_pool), 10 * CENT, 0.5 * CENT);
+ BOOST_CHECK(result5);
+ BOOST_CHECK(EquivalentResult(expected_result, *result5));
+ BOOST_CHECK_EQUAL(result5->GetSelectedValue(), 10 * CENT);
+ expected_result.Clear();
// Negative effective value
// Select 10 Cent but have 1 Cent not be possible because too small
- add_coin(5 * CENT, 5, actual_selection);
- add_coin(3 * CENT, 3, actual_selection);
- add_coin(2 * CENT, 2, actual_selection);
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), 10 * CENT, 5000, selection, value_ret, not_input_fees));
- BOOST_CHECK_EQUAL(value_ret, 10 * CENT);
+ add_coin(5 * CENT, 5, expected_result);
+ add_coin(3 * CENT, 3, expected_result);
+ add_coin(2 * CENT, 2, expected_result);
+ const auto result6 = SelectCoinsBnB(GroupCoins(utxo_pool), 10 * CENT, 5000);
+ BOOST_CHECK(result6);
+ BOOST_CHECK_EQUAL(result6->GetSelectedValue(), 10 * CENT);
// FIXME: this test is redundant with the above, because 1 Cent is selected, not "too small"
- // BOOST_CHECK(equal_sets(selection, actual_selection));
+ // BOOST_CHECK(EquivalentResult(expected_result, *result));
// Select 0.25 Cent, not possible
- BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 0.25 * CENT, 0.5 * CENT, selection, value_ret, not_input_fees));
- actual_selection.clear();
- selection.clear();
+ BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 0.25 * CENT, 0.5 * CENT));
+ expected_result.Clear();
// Iteration exhaustion test
CAmount target = make_hard_case(17, utxo_pool);
- BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), target, 0, selection, value_ret, not_input_fees)); // Should exhaust
+ BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), target, 0)); // Should exhaust
target = make_hard_case(14, utxo_pool);
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), target, 0, selection, value_ret, not_input_fees)); // Should not exhaust
+ const auto result7 = SelectCoinsBnB(GroupCoins(utxo_pool), target, 0); // Should not exhaust
+ BOOST_CHECK(result7);
// Test same value early bailout optimization
utxo_pool.clear();
- add_coin(7 * CENT, 7, actual_selection);
- add_coin(7 * CENT, 7, actual_selection);
- add_coin(7 * CENT, 7, actual_selection);
- add_coin(7 * CENT, 7, actual_selection);
- add_coin(2 * CENT, 7, actual_selection);
+ add_coin(7 * CENT, 7, expected_result);
+ add_coin(7 * CENT, 7, expected_result);
+ add_coin(7 * CENT, 7, expected_result);
+ add_coin(7 * CENT, 7, expected_result);
+ add_coin(2 * CENT, 7, expected_result);
add_coin(7 * CENT, 7, utxo_pool);
add_coin(7 * CENT, 7, utxo_pool);
add_coin(7 * CENT, 7, utxo_pool);
@@ -251,9 +282,10 @@ BOOST_AUTO_TEST_CASE(bnb_search_test)
for (int i = 0; i < 50000; ++i) {
add_coin(5 * CENT, 7, utxo_pool);
}
- BOOST_CHECK(SelectCoinsBnB(GroupCoins(utxo_pool), 30 * CENT, 5000, selection, value_ret, not_input_fees));
- BOOST_CHECK_EQUAL(value_ret, 30 * CENT);
- BOOST_CHECK(equal_sets(selection, actual_selection));
+ const auto result8 = SelectCoinsBnB(GroupCoins(utxo_pool), 30 * CENT, 5000);
+ BOOST_CHECK(result8);
+ BOOST_CHECK_EQUAL(result8->GetSelectedValue(), 30 * CENT);
+ BOOST_CHECK(EquivalentResult(expected_result, *result8));
////////////////////
// Behavior tests //
@@ -265,356 +297,396 @@ BOOST_AUTO_TEST_CASE(bnb_search_test)
}
// Run 100 times, to make sure it is never finding a solution
for (int i = 0; i < 100; ++i) {
- BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 1 * CENT, 2 * CENT, selection, value_ret, not_input_fees));
+ BOOST_CHECK(!SelectCoinsBnB(GroupCoins(utxo_pool), 1 * CENT, 2 * CENT));
}
- // Make sure that effective value is working in SelectCoinsMinConf when BnB is used
- CoinSelectionParams coin_selection_params_bnb(true, 0, 0, CFeeRate(3000), 0, false);
- CoinSet setCoinsRet;
- CAmount nValueRet;
- bool bnb_used;
- empty_wallet();
- add_coin(1);
- vCoins.at(0).nInputBytes = 40; // Make sure that it has a negative effective value. The next check should assert if this somehow got through. Otherwise it will fail
- BOOST_CHECK(!testWallet.SelectCoinsMinConf( 1 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params_bnb, bnb_used));
-
- // Test fees subtracted from output:
- empty_wallet();
- add_coin(1 * CENT);
- vCoins.at(0).nInputBytes = 40;
- BOOST_CHECK(!testWallet.SelectCoinsMinConf( 1 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params_bnb, bnb_used));
- coin_selection_params_bnb.m_subtract_fee_outputs = true;
- BOOST_CHECK(testWallet.SelectCoinsMinConf( 1 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params_bnb, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 1 * CENT);
-
- // Make sure that can use BnB when there are preset inputs
- empty_wallet();
+ // Make sure that effective value is working in AttemptSelection when BnB is used
+ CoinSelectionParams coin_selection_params_bnb(/* change_output_size= */ 0,
+ /* change_spend_size= */ 0, /* effective_feerate= */ CFeeRate(3000),
+ /* long_term_feerate= */ CFeeRate(1000), /* discard_feerate= */ CFeeRate(1000),
+ /* tx_noinputs_size= */ 0, /* avoid_partial= */ false);
{
- std::unique_ptr<CWallet> wallet = MakeUnique<CWallet>(m_node.chain.get(), "", CreateMockWalletDatabase());
- bool firstRun;
- wallet->LoadWallet(firstRun);
- wallet->SetupLegacyScriptPubKeyMan();
+ std::unique_ptr<CWallet> wallet = std::make_unique<CWallet>(m_node.chain.get(), "", m_args, CreateMockWalletDatabase());
+ wallet->LoadWallet();
LOCK(wallet->cs_wallet);
- add_coin(*wallet, 5 * CENT, 6 * 24, false, 0, true);
- add_coin(*wallet, 3 * CENT, 6 * 24, false, 0, true);
- add_coin(*wallet, 2 * CENT, 6 * 24, false, 0, true);
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet->SetupDescriptorScriptPubKeyMans();
+
+ std::vector<COutput> coins;
+
+ add_coin(coins, *wallet, 1);
+ coins.at(0).nInputBytes = 40; // Make sure that it has a negative effective value. The next check should assert if this somehow got through. Otherwise it will fail
+ BOOST_CHECK(!SelectCoinsBnB(GroupCoins(coins), 1 * CENT, coin_selection_params_bnb.m_cost_of_change));
+
+ // Test fees subtracted from output:
+ coins.clear();
+ add_coin(coins, *wallet, 1 * CENT);
+ coins.at(0).nInputBytes = 40;
+ coin_selection_params_bnb.m_subtract_fee_outputs = true;
+ const auto result9 = SelectCoinsBnB(GroupCoins(coins), 1 * CENT, coin_selection_params_bnb.m_cost_of_change);
+ BOOST_CHECK(result9);
+ BOOST_CHECK_EQUAL(result9->GetSelectedValue(), 1 * CENT);
+ }
+
+ {
+ std::unique_ptr<CWallet> wallet = std::make_unique<CWallet>(m_node.chain.get(), "", m_args, CreateMockWalletDatabase());
+ wallet->LoadWallet();
+ LOCK(wallet->cs_wallet);
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet->SetupDescriptorScriptPubKeyMans();
+
+ std::vector<COutput> coins;
+
+ add_coin(coins, *wallet, 5 * CENT, 6 * 24, false, 0, true);
+ add_coin(coins, *wallet, 3 * CENT, 6 * 24, false, 0, true);
+ add_coin(coins, *wallet, 2 * CENT, 6 * 24, false, 0, true);
CCoinControl coin_control;
coin_control.fAllowOtherInputs = true;
- coin_control.Select(COutPoint(vCoins.at(0).tx->GetHash(), vCoins.at(0).i));
- coin_selection_params_bnb.effective_fee = CFeeRate(0);
- BOOST_CHECK(wallet->SelectCoins(vCoins, 10 * CENT, setCoinsRet, nValueRet, coin_control, coin_selection_params_bnb, bnb_used));
- BOOST_CHECK(bnb_used);
- BOOST_CHECK(coin_selection_params_bnb.use_bnb);
+ coin_control.Select(COutPoint(coins.at(0).tx->GetHash(), coins.at(0).i));
+ coin_selection_params_bnb.m_effective_feerate = CFeeRate(0);
+ const auto result10 = SelectCoins(*wallet, coins, 10 * CENT, coin_control, coin_selection_params_bnb);
+ BOOST_CHECK(result10);
}
}
BOOST_AUTO_TEST_CASE(knapsack_solver_test)
{
- CoinSet setCoinsRet, setCoinsRet2;
- CAmount nValueRet;
- bool bnb_used;
+ std::unique_ptr<CWallet> wallet = std::make_unique<CWallet>(m_node.chain.get(), "", m_args, CreateMockWalletDatabase());
+ wallet->LoadWallet();
+ LOCK(wallet->cs_wallet);
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet->SetupDescriptorScriptPubKeyMans();
- LOCK(testWallet.cs_wallet);
- testWallet.SetupLegacyScriptPubKeyMan();
+ std::vector<COutput> coins;
// test multiple times to allow for differences in the shuffle order
for (int i = 0; i < RUN_TESTS; i++)
{
- empty_wallet();
+ coins.clear();
// with an empty wallet we can't even pay one cent
- BOOST_CHECK(!testWallet.SelectCoinsMinConf( 1 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
+ BOOST_CHECK(!KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_standard), 1 * CENT));
- add_coin(1*CENT, 4); // add a new 1 cent coin
+ add_coin(coins, *wallet, 1*CENT, 4); // add a new 1 cent coin
// with a new 1 cent coin, we still can't find a mature 1 cent
- BOOST_CHECK(!testWallet.SelectCoinsMinConf( 1 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
+ BOOST_CHECK(!KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_standard), 1 * CENT));
// but we can find a new 1 cent
- BOOST_CHECK( testWallet.SelectCoinsMinConf( 1 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 1 * CENT);
+ const auto result1 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 1 * CENT);
+ BOOST_CHECK(result1);
+ BOOST_CHECK_EQUAL(result1->GetSelectedValue(), 1 * CENT);
- add_coin(2*CENT); // add a mature 2 cent coin
+ add_coin(coins, *wallet, 2*CENT); // add a mature 2 cent coin
// we can't make 3 cents of mature coins
- BOOST_CHECK(!testWallet.SelectCoinsMinConf( 3 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
+ BOOST_CHECK(!KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_standard), 3 * CENT));
// we can make 3 cents of new coins
- BOOST_CHECK( testWallet.SelectCoinsMinConf( 3 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 3 * CENT);
+ const auto result2 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 3 * CENT);
+ BOOST_CHECK(result2);
+ BOOST_CHECK_EQUAL(result2->GetSelectedValue(), 3 * CENT);
- add_coin(5*CENT); // add a mature 5 cent coin,
- add_coin(10*CENT, 3, true); // a new 10 cent coin sent from one of our own addresses
- add_coin(20*CENT); // and a mature 20 cent coin
+ add_coin(coins, *wallet, 5*CENT); // add a mature 5 cent coin,
+ add_coin(coins, *wallet, 10*CENT, 3, true); // a new 10 cent coin sent from one of our own addresses
+ add_coin(coins, *wallet, 20*CENT); // and a mature 20 cent coin
// now we have new: 1+10=11 (of which 10 was self-sent), and mature: 2+5+20=27. total = 38
// we can't make 38 cents only if we disallow new coins:
- BOOST_CHECK(!testWallet.SelectCoinsMinConf(38 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
+ BOOST_CHECK(!KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_standard), 38 * CENT));
// we can't even make 37 cents if we don't allow new coins even if they're from us
- BOOST_CHECK(!testWallet.SelectCoinsMinConf(38 * CENT, filter_standard_extra, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
+ BOOST_CHECK(!KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_standard_extra), 38 * CENT));
// but we can make 37 cents if we accept new coins from ourself
- BOOST_CHECK( testWallet.SelectCoinsMinConf(37 * CENT, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 37 * CENT);
+ const auto result3 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_standard), 37 * CENT);
+ BOOST_CHECK(result3);
+ BOOST_CHECK_EQUAL(result3->GetSelectedValue(), 37 * CENT);
// and we can make 38 cents if we accept all new coins
- BOOST_CHECK( testWallet.SelectCoinsMinConf(38 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 38 * CENT);
+ const auto result4 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 38 * CENT);
+ BOOST_CHECK(result4);
+ BOOST_CHECK_EQUAL(result4->GetSelectedValue(), 38 * CENT);
// try making 34 cents from 1,2,5,10,20 - we can't do it exactly
- BOOST_CHECK( testWallet.SelectCoinsMinConf(34 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 35 * CENT); // but 35 cents is closest
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U); // the best should be 20+10+5. it's incredibly unlikely the 1 or 2 got included (but possible)
+ const auto result5 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 34 * CENT);
+ BOOST_CHECK(result5);
+ BOOST_CHECK_EQUAL(result5->GetSelectedValue(), 35 * CENT); // but 35 cents is closest
+ BOOST_CHECK_EQUAL(result5->GetInputSet().size(), 3U); // the best should be 20+10+5. it's incredibly unlikely the 1 or 2 got included (but possible)
// when we try making 7 cents, the smaller coins (1,2,5) are enough. We should see just 2+5
- BOOST_CHECK( testWallet.SelectCoinsMinConf( 7 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 7 * CENT);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U);
+ const auto result6 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 7 * CENT);
+ BOOST_CHECK(result6);
+ BOOST_CHECK_EQUAL(result6->GetSelectedValue(), 7 * CENT);
+ BOOST_CHECK_EQUAL(result6->GetInputSet().size(), 2U);
// when we try making 8 cents, the smaller coins (1,2,5) are exactly enough.
- BOOST_CHECK( testWallet.SelectCoinsMinConf( 8 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK(nValueRet == 8 * CENT);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U);
+ const auto result7 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 8 * CENT);
+ BOOST_CHECK(result7);
+ BOOST_CHECK(result7->GetSelectedValue() == 8 * CENT);
+ BOOST_CHECK_EQUAL(result7->GetInputSet().size(), 3U);
// when we try making 9 cents, no subset of smaller coins is enough, and we get the next bigger coin (10)
- BOOST_CHECK( testWallet.SelectCoinsMinConf( 9 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 10 * CENT);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U);
+ const auto result8 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 9 * CENT);
+ BOOST_CHECK(result8);
+ BOOST_CHECK_EQUAL(result8->GetSelectedValue(), 10 * CENT);
+ BOOST_CHECK_EQUAL(result8->GetInputSet().size(), 1U);
// now clear out the wallet and start again to test choosing between subsets of smaller coins and the next biggest coin
- empty_wallet();
+ coins.clear();
- add_coin( 6*CENT);
- add_coin( 7*CENT);
- add_coin( 8*CENT);
- add_coin(20*CENT);
- add_coin(30*CENT); // now we have 6+7+8+20+30 = 71 cents total
+ add_coin(coins, *wallet, 6*CENT);
+ add_coin(coins, *wallet, 7*CENT);
+ add_coin(coins, *wallet, 8*CENT);
+ add_coin(coins, *wallet, 20*CENT);
+ add_coin(coins, *wallet, 30*CENT); // now we have 6+7+8+20+30 = 71 cents total
// check that we have 71 and not 72
- BOOST_CHECK( testWallet.SelectCoinsMinConf(71 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK(!testWallet.SelectCoinsMinConf(72 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
+ const auto result9 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 71 * CENT);
+ BOOST_CHECK(result9);
+ BOOST_CHECK(!KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 72 * CENT));
// now try making 16 cents. the best smaller coins can do is 6+7+8 = 21; not as good at the next biggest coin, 20
- BOOST_CHECK( testWallet.SelectCoinsMinConf(16 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 20 * CENT); // we should get 20 in one coin
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U);
+ const auto result10 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 16 * CENT);
+ BOOST_CHECK(result10);
+ BOOST_CHECK_EQUAL(result10->GetSelectedValue(), 20 * CENT); // we should get 20 in one coin
+ BOOST_CHECK_EQUAL(result10->GetInputSet().size(), 1U);
- add_coin( 5*CENT); // now we have 5+6+7+8+20+30 = 75 cents total
+ add_coin(coins, *wallet, 5*CENT); // now we have 5+6+7+8+20+30 = 75 cents total
// now if we try making 16 cents again, the smaller coins can make 5+6+7 = 18 cents, better than the next biggest coin, 20
- BOOST_CHECK( testWallet.SelectCoinsMinConf(16 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 18 * CENT); // we should get 18 in 3 coins
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U);
+ const auto result11 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 16 * CENT);
+ BOOST_CHECK(result11);
+ BOOST_CHECK_EQUAL(result11->GetSelectedValue(), 18 * CENT); // we should get 18 in 3 coins
+ BOOST_CHECK_EQUAL(result11->GetInputSet().size(), 3U);
- add_coin( 18*CENT); // now we have 5+6+7+8+18+20+30
+ add_coin(coins, *wallet, 18*CENT); // now we have 5+6+7+8+18+20+30
// and now if we try making 16 cents again, the smaller coins can make 5+6+7 = 18 cents, the same as the next biggest coin, 18
- BOOST_CHECK( testWallet.SelectCoinsMinConf(16 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 18 * CENT); // we should get 18 in 1 coin
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U); // because in the event of a tie, the biggest coin wins
+ const auto result12 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 16 * CENT);
+ BOOST_CHECK(result12);
+ BOOST_CHECK_EQUAL(result12->GetSelectedValue(), 18 * CENT); // we should get 18 in 1 coin
+ BOOST_CHECK_EQUAL(result12->GetInputSet().size(), 1U); // because in the event of a tie, the biggest coin wins
// now try making 11 cents. we should get 5+6
- BOOST_CHECK( testWallet.SelectCoinsMinConf(11 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 11 * CENT);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U);
+ const auto result13 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 11 * CENT);
+ BOOST_CHECK(result13);
+ BOOST_CHECK_EQUAL(result13->GetSelectedValue(), 11 * CENT);
+ BOOST_CHECK_EQUAL(result13->GetInputSet().size(), 2U);
// check that the smallest bigger coin is used
- add_coin( 1*COIN);
- add_coin( 2*COIN);
- add_coin( 3*COIN);
- add_coin( 4*COIN); // now we have 5+6+7+8+18+20+30+100+200+300+400 = 1094 cents
- BOOST_CHECK( testWallet.SelectCoinsMinConf(95 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 1 * COIN); // we should get 1 BTC in 1 coin
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U);
-
- BOOST_CHECK( testWallet.SelectCoinsMinConf(195 * CENT, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 2 * COIN); // we should get 2 BTC in 1 coin
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U);
+ add_coin(coins, *wallet, 1*COIN);
+ add_coin(coins, *wallet, 2*COIN);
+ add_coin(coins, *wallet, 3*COIN);
+ add_coin(coins, *wallet, 4*COIN); // now we have 5+6+7+8+18+20+30+100+200+300+400 = 1094 cents
+ const auto result14 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 95 * CENT);
+ BOOST_CHECK(result14);
+ BOOST_CHECK_EQUAL(result14->GetSelectedValue(), 1 * COIN); // we should get 1 BTC in 1 coin
+ BOOST_CHECK_EQUAL(result14->GetInputSet().size(), 1U);
+
+ const auto result15 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 195 * CENT);
+ BOOST_CHECK(result15);
+ BOOST_CHECK_EQUAL(result15->GetSelectedValue(), 2 * COIN); // we should get 2 BTC in 1 coin
+ BOOST_CHECK_EQUAL(result15->GetInputSet().size(), 1U);
// empty the wallet and start again, now with fractions of a cent, to test small change avoidance
- empty_wallet();
- add_coin(MIN_CHANGE * 1 / 10);
- add_coin(MIN_CHANGE * 2 / 10);
- add_coin(MIN_CHANGE * 3 / 10);
- add_coin(MIN_CHANGE * 4 / 10);
- add_coin(MIN_CHANGE * 5 / 10);
+ coins.clear();
+ add_coin(coins, *wallet, MIN_CHANGE * 1 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 2 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 3 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 4 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 5 / 10);
// try making 1 * MIN_CHANGE from the 1.5 * MIN_CHANGE
// we'll get change smaller than MIN_CHANGE whatever happens, so can expect MIN_CHANGE exactly
- BOOST_CHECK( testWallet.SelectCoinsMinConf(MIN_CHANGE, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, MIN_CHANGE);
+ const auto result16 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), MIN_CHANGE);
+ BOOST_CHECK(result16);
+ BOOST_CHECK_EQUAL(result16->GetSelectedValue(), MIN_CHANGE);
// but if we add a bigger coin, small change is avoided
- add_coin(1111*MIN_CHANGE);
+ add_coin(coins, *wallet, 1111*MIN_CHANGE);
// try making 1 from 0.1 + 0.2 + 0.3 + 0.4 + 0.5 + 1111 = 1112.5
- BOOST_CHECK( testWallet.SelectCoinsMinConf(1 * MIN_CHANGE, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 1 * MIN_CHANGE); // we should get the exact amount
+ const auto result17 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 1 * MIN_CHANGE);
+ BOOST_CHECK(result17);
+ BOOST_CHECK_EQUAL(result17->GetSelectedValue(), 1 * MIN_CHANGE); // we should get the exact amount
// if we add more small coins:
- add_coin(MIN_CHANGE * 6 / 10);
- add_coin(MIN_CHANGE * 7 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 6 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 7 / 10);
// and try again to make 1.0 * MIN_CHANGE
- BOOST_CHECK( testWallet.SelectCoinsMinConf(1 * MIN_CHANGE, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 1 * MIN_CHANGE); // we should get the exact amount
+ const auto result18 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 1 * MIN_CHANGE);
+ BOOST_CHECK(result18);
+ BOOST_CHECK_EQUAL(result18->GetSelectedValue(), 1 * MIN_CHANGE); // we should get the exact amount
// run the 'mtgox' test (see https://blockexplorer.com/tx/29a3efd3ef04f9153d47a990bd7b048a4b2d213daaa5fb8ed670fb85f13bdbcf)
// they tried to consolidate 10 50k coins into one 500k coin, and ended up with 50k in change
- empty_wallet();
+ coins.clear();
for (int j = 0; j < 20; j++)
- add_coin(50000 * COIN);
+ add_coin(coins, *wallet, 50000 * COIN);
- BOOST_CHECK( testWallet.SelectCoinsMinConf(500000 * COIN, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 500000 * COIN); // we should get the exact amount
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 10U); // in ten coins
+ const auto result19 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 500000 * COIN);
+ BOOST_CHECK(result19);
+ BOOST_CHECK_EQUAL(result19->GetSelectedValue(), 500000 * COIN); // we should get the exact amount
+ BOOST_CHECK_EQUAL(result19->GetInputSet().size(), 10U); // in ten coins
// if there's not enough in the smaller coins to make at least 1 * MIN_CHANGE change (0.5+0.6+0.7 < 1.0+1.0),
// we need to try finding an exact subset anyway
// sometimes it will fail, and so we use the next biggest coin:
- empty_wallet();
- add_coin(MIN_CHANGE * 5 / 10);
- add_coin(MIN_CHANGE * 6 / 10);
- add_coin(MIN_CHANGE * 7 / 10);
- add_coin(1111 * MIN_CHANGE);
- BOOST_CHECK( testWallet.SelectCoinsMinConf(1 * MIN_CHANGE, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 1111 * MIN_CHANGE); // we get the bigger coin
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U);
+ coins.clear();
+ add_coin(coins, *wallet, MIN_CHANGE * 5 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 6 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 7 / 10);
+ add_coin(coins, *wallet, 1111 * MIN_CHANGE);
+ const auto result20 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 1 * MIN_CHANGE);
+ BOOST_CHECK(result20);
+ BOOST_CHECK_EQUAL(result20->GetSelectedValue(), 1111 * MIN_CHANGE); // we get the bigger coin
+ BOOST_CHECK_EQUAL(result20->GetInputSet().size(), 1U);
// but sometimes it's possible, and we use an exact subset (0.4 + 0.6 = 1.0)
- empty_wallet();
- add_coin(MIN_CHANGE * 4 / 10);
- add_coin(MIN_CHANGE * 6 / 10);
- add_coin(MIN_CHANGE * 8 / 10);
- add_coin(1111 * MIN_CHANGE);
- BOOST_CHECK( testWallet.SelectCoinsMinConf(MIN_CHANGE, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, MIN_CHANGE); // we should get the exact amount
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U); // in two coins 0.4+0.6
+ coins.clear();
+ add_coin(coins, *wallet, MIN_CHANGE * 4 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 6 / 10);
+ add_coin(coins, *wallet, MIN_CHANGE * 8 / 10);
+ add_coin(coins, *wallet, 1111 * MIN_CHANGE);
+ const auto result21 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), MIN_CHANGE);
+ BOOST_CHECK(result21);
+ BOOST_CHECK_EQUAL(result21->GetSelectedValue(), MIN_CHANGE); // we should get the exact amount
+ BOOST_CHECK_EQUAL(result21->GetInputSet().size(), 2U); // in two coins 0.4+0.6
// test avoiding small change
- empty_wallet();
- add_coin(MIN_CHANGE * 5 / 100);
- add_coin(MIN_CHANGE * 1);
- add_coin(MIN_CHANGE * 100);
+ coins.clear();
+ add_coin(coins, *wallet, MIN_CHANGE * 5 / 100);
+ add_coin(coins, *wallet, MIN_CHANGE * 1);
+ add_coin(coins, *wallet, MIN_CHANGE * 100);
// trying to make 100.01 from these three coins
- BOOST_CHECK(testWallet.SelectCoinsMinConf(MIN_CHANGE * 10001 / 100, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, MIN_CHANGE * 10105 / 100); // we should get all coins
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 3U);
+ const auto result22 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), MIN_CHANGE * 10001 / 100);
+ BOOST_CHECK(result22);
+ BOOST_CHECK_EQUAL(result22->GetSelectedValue(), MIN_CHANGE * 10105 / 100); // we should get all coins
+ BOOST_CHECK_EQUAL(result22->GetInputSet().size(), 3U);
// but if we try to make 99.9, we should take the bigger of the two small coins to avoid small change
- BOOST_CHECK(testWallet.SelectCoinsMinConf(MIN_CHANGE * 9990 / 100, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 101 * MIN_CHANGE);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U);
- }
-
- // test with many inputs
- for (CAmount amt=1500; amt < COIN; amt*=10) {
- empty_wallet();
- // Create 676 inputs (= (old MAX_STANDARD_TX_SIZE == 100000) / 148 bytes per input)
- for (uint16_t j = 0; j < 676; j++)
- add_coin(amt);
-
- // We only create the wallet once to save time, but we still run the coin selection RUN_TESTS times.
- for (int i = 0; i < RUN_TESTS; i++) {
- BOOST_CHECK(testWallet.SelectCoinsMinConf(2000, filter_confirmed, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
-
- if (amt - 2000 < MIN_CHANGE) {
- // needs more than one input:
- uint16_t returnSize = std::ceil((2000.0 + MIN_CHANGE)/amt);
- CAmount returnValue = amt * returnSize;
- BOOST_CHECK_EQUAL(nValueRet, returnValue);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), returnSize);
- } else {
- // one input is sufficient:
- BOOST_CHECK_EQUAL(nValueRet, amt);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 1U);
- }
- }
- }
-
- // test randomness
- {
- empty_wallet();
- for (int i2 = 0; i2 < 100; i2++)
- add_coin(COIN);
-
- // Again, we only create the wallet once to save time, but we still run the coin selection RUN_TESTS times.
- for (int i = 0; i < RUN_TESTS; i++) {
+ const auto result23 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), MIN_CHANGE * 9990 / 100);
+ BOOST_CHECK(result23);
+ BOOST_CHECK_EQUAL(result23->GetSelectedValue(), 101 * MIN_CHANGE);
+ BOOST_CHECK_EQUAL(result23->GetInputSet().size(), 2U);
+ }
+
+ // test with many inputs
+ for (CAmount amt=1500; amt < COIN; amt*=10) {
+ coins.clear();
+ // Create 676 inputs (= (old MAX_STANDARD_TX_SIZE == 100000) / 148 bytes per input)
+ for (uint16_t j = 0; j < 676; j++)
+ add_coin(coins, *wallet, amt);
+
+ // We only create the wallet once to save time, but we still run the coin selection RUN_TESTS times.
+ for (int i = 0; i < RUN_TESTS; i++) {
+ const auto result24 = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_confirmed), 2000);
+ BOOST_CHECK(result24);
+
+ if (amt - 2000 < MIN_CHANGE) {
+ // needs more than one input:
+ uint16_t returnSize = std::ceil((2000.0 + MIN_CHANGE)/amt);
+ CAmount returnValue = amt * returnSize;
+ BOOST_CHECK_EQUAL(result24->GetSelectedValue(), returnValue);
+ BOOST_CHECK_EQUAL(result24->GetInputSet().size(), returnSize);
+ } else {
+ // one input is sufficient:
+ BOOST_CHECK_EQUAL(result24->GetSelectedValue(), amt);
+ BOOST_CHECK_EQUAL(result24->GetInputSet().size(), 1U);
+ }
+ }
+ }
+
+ // test randomness
+ {
+ coins.clear();
+ for (int i2 = 0; i2 < 100; i2++)
+ add_coin(coins, *wallet, COIN);
+
+ // Again, we only create the wallet once to save time, but we still run the coin selection RUN_TESTS times.
+ for (int i = 0; i < RUN_TESTS; i++) {
// picking 50 from 100 coins doesn't depend on the shuffle,
// but does depend on randomness in the stochastic approximation code
- BOOST_CHECK(testWallet.SelectCoinsMinConf(50 * COIN, filter_standard, vCoins, setCoinsRet , nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK(testWallet.SelectCoinsMinConf(50 * COIN, filter_standard, vCoins, setCoinsRet2, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK(!equal_sets(setCoinsRet, setCoinsRet2));
+ const auto result25 = KnapsackSolver(GroupCoins(coins), 50 * COIN);
+ BOOST_CHECK(result25);
+ const auto result26 = KnapsackSolver(GroupCoins(coins), 50 * COIN);
+ BOOST_CHECK(result26);
+ BOOST_CHECK(!EqualResult(*result25, *result26));
int fails = 0;
for (int j = 0; j < RANDOM_REPEATS; j++)
{
- // selecting 1 from 100 identical coins depends on the shuffle; this test will fail 1% of the time
- // run the test RANDOM_REPEATS times and only complain if all of them fail
- BOOST_CHECK(testWallet.SelectCoinsMinConf(COIN, filter_standard, vCoins, setCoinsRet , nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK(testWallet.SelectCoinsMinConf(COIN, filter_standard, vCoins, setCoinsRet2, nValueRet, coin_selection_params, bnb_used));
- if (equal_sets(setCoinsRet, setCoinsRet2))
+ // Test that the KnapsackSolver selects randomly from equivalent coins (same value and same input size).
+ // When choosing 1 from 100 identical coins, 1% of the time, this test will choose the same coin twice
+ // which will cause it to fail.
+ // To avoid that issue, run the test RANDOM_REPEATS times and only complain if all of them fail
+ const auto result27 = KnapsackSolver(GroupCoins(coins), COIN);
+ BOOST_CHECK(result27);
+ const auto result28 = KnapsackSolver(GroupCoins(coins), COIN);
+ BOOST_CHECK(result28);
+ if (EqualResult(*result27, *result28))
fails++;
}
BOOST_CHECK_NE(fails, RANDOM_REPEATS);
- }
-
- // add 75 cents in small change. not enough to make 90 cents,
- // then try making 90 cents. there are multiple competing "smallest bigger" coins,
- // one of which should be picked at random
- add_coin(5 * CENT);
- add_coin(10 * CENT);
- add_coin(15 * CENT);
- add_coin(20 * CENT);
- add_coin(25 * CENT);
-
- for (int i = 0; i < RUN_TESTS; i++) {
+ }
+
+ // add 75 cents in small change. not enough to make 90 cents,
+ // then try making 90 cents. there are multiple competing "smallest bigger" coins,
+ // one of which should be picked at random
+ add_coin(coins, *wallet, 5 * CENT);
+ add_coin(coins, *wallet, 10 * CENT);
+ add_coin(coins, *wallet, 15 * CENT);
+ add_coin(coins, *wallet, 20 * CENT);
+ add_coin(coins, *wallet, 25 * CENT);
+
+ for (int i = 0; i < RUN_TESTS; i++) {
int fails = 0;
for (int j = 0; j < RANDOM_REPEATS; j++)
{
- // selecting 1 from 100 identical coins depends on the shuffle; this test will fail 1% of the time
- // run the test RANDOM_REPEATS times and only complain if all of them fail
- BOOST_CHECK(testWallet.SelectCoinsMinConf(90*CENT, filter_standard, vCoins, setCoinsRet , nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK(testWallet.SelectCoinsMinConf(90*CENT, filter_standard, vCoins, setCoinsRet2, nValueRet, coin_selection_params, bnb_used));
- if (equal_sets(setCoinsRet, setCoinsRet2))
+ const auto result29 = KnapsackSolver(GroupCoins(coins), 90 * CENT);
+ BOOST_CHECK(result29);
+ const auto result30 = KnapsackSolver(GroupCoins(coins), 90 * CENT);
+ BOOST_CHECK(result30);
+ if (EqualResult(*result29, *result30))
fails++;
}
BOOST_CHECK_NE(fails, RANDOM_REPEATS);
- }
- }
-
- empty_wallet();
+ }
+ }
}
BOOST_AUTO_TEST_CASE(ApproximateBestSubset)
{
- CoinSet setCoinsRet;
- CAmount nValueRet;
- bool bnb_used;
-
- LOCK(testWallet.cs_wallet);
- testWallet.SetupLegacyScriptPubKeyMan();
+ std::unique_ptr<CWallet> wallet = std::make_unique<CWallet>(m_node.chain.get(), "", m_args, CreateMockWalletDatabase());
+ wallet->LoadWallet();
+ LOCK(wallet->cs_wallet);
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet->SetupDescriptorScriptPubKeyMans();
- empty_wallet();
+ std::vector<COutput> coins;
// Test vValue sort order
for (int i = 0; i < 1000; i++)
- add_coin(1000 * COIN);
- add_coin(3 * COIN);
+ add_coin(coins, *wallet, 1000 * COIN);
+ add_coin(coins, *wallet, 3 * COIN);
- BOOST_CHECK(testWallet.SelectCoinsMinConf(1003 * COIN, filter_standard, vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
- BOOST_CHECK_EQUAL(nValueRet, 1003 * COIN);
- BOOST_CHECK_EQUAL(setCoinsRet.size(), 2U);
-
- empty_wallet();
+ const auto result = KnapsackSolver(KnapsackGroupOutputs(coins, *wallet, filter_standard), 1003 * COIN);
+ BOOST_CHECK(result);
+ BOOST_CHECK_EQUAL(result->GetSelectedValue(), 1003 * COIN);
+ BOOST_CHECK_EQUAL(result->GetInputSet().size(), 2U);
}
// Tests that with the ideal conditions, the coin selector will always be able to find a solution that can pay the target value
BOOST_AUTO_TEST_CASE(SelectCoins_test)
{
- testWallet.SetupLegacyScriptPubKeyMan();
+ std::unique_ptr<CWallet> wallet = std::make_unique<CWallet>(m_node.chain.get(), "", m_args, CreateMockWalletDatabase());
+ wallet->LoadWallet();
+ LOCK(wallet->cs_wallet);
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet->SetupDescriptorScriptPubKeyMans();
// Random generator stuff
std::default_random_engine generator;
@@ -624,12 +696,15 @@ BOOST_AUTO_TEST_CASE(SelectCoins_test)
// Run this test 100 times
for (int i = 0; i < 100; ++i)
{
- empty_wallet();
+ std::vector<COutput> coins;
+ CAmount balance{0};
// Make a wallet with 1000 exponentially distributed random inputs
for (int j = 0; j < 1000; ++j)
{
- add_coin((CAmount)(distribution(generator)*10000000));
+ CAmount val = distribution(generator)*10000000;
+ add_coin(coins, *wallet, val);
+ balance += val;
}
// Generate a random fee rate in the range of 100 - 400
@@ -639,15 +714,98 @@ BOOST_AUTO_TEST_CASE(SelectCoins_test)
CAmount target = rand.randrange(balance - 1000) + 1000;
// Perform selection
- CoinSelectionParams coin_selection_params_knapsack(false, 34, 148, CFeeRate(0), 0, false);
- CoinSelectionParams coin_selection_params_bnb(true, 34, 148, CFeeRate(0), 0, false);
- CoinSet out_set;
- CAmount out_value = 0;
- bool bnb_used = false;
- BOOST_CHECK(testWallet.SelectCoinsMinConf(target, filter_standard, vCoins, out_set, out_value, coin_selection_params_bnb, bnb_used) ||
- testWallet.SelectCoinsMinConf(target, filter_standard, vCoins, out_set, out_value, coin_selection_params_knapsack, bnb_used));
- BOOST_CHECK_GE(out_value, target);
+ CoinSelectionParams cs_params(/* change_output_size= */ 34,
+ /* change_spend_size= */ 148, /* effective_feerate= */ CFeeRate(0),
+ /* long_term_feerate= */ CFeeRate(0), /* discard_feerate= */ CFeeRate(0),
+ /* tx_noinputs_size= */ 0, /* avoid_partial= */ false);
+ CCoinControl cc;
+ const auto result = SelectCoins(*wallet, coins, target, cc, cs_params);
+ BOOST_CHECK(result);
+ BOOST_CHECK_GE(result->GetSelectedValue(), target);
}
}
+BOOST_AUTO_TEST_CASE(waste_test)
+{
+ CoinSet selection;
+ const CAmount fee{100};
+ const CAmount change_cost{125};
+ const CAmount fee_diff{40};
+ const CAmount in_amt{3 * COIN};
+ const CAmount target{2 * COIN};
+ const CAmount excess{in_amt - fee * 2 - target};
+
+ // Waste with change is the change cost and difference between fee and long term fee
+ add_coin(1 * COIN, 1, selection, fee, fee - fee_diff);
+ add_coin(2 * COIN, 2, selection, fee, fee - fee_diff);
+ const CAmount waste1 = GetSelectionWaste(selection, change_cost, target);
+ BOOST_CHECK_EQUAL(fee_diff * 2 + change_cost, waste1);
+ selection.clear();
+
+ // Waste without change is the excess and difference between fee and long term fee
+ add_coin(1 * COIN, 1, selection, fee, fee - fee_diff);
+ add_coin(2 * COIN, 2, selection, fee, fee - fee_diff);
+ const CAmount waste_nochange1 = GetSelectionWaste(selection, 0, target);
+ BOOST_CHECK_EQUAL(fee_diff * 2 + excess, waste_nochange1);
+ selection.clear();
+
+ // Waste with change and fee == long term fee is just cost of change
+ add_coin(1 * COIN, 1, selection, fee, fee);
+ add_coin(2 * COIN, 2, selection, fee, fee);
+ BOOST_CHECK_EQUAL(change_cost, GetSelectionWaste(selection, change_cost, target));
+ selection.clear();
+
+ // Waste without change and fee == long term fee is just the excess
+ add_coin(1 * COIN, 1, selection, fee, fee);
+ add_coin(2 * COIN, 2, selection, fee, fee);
+ BOOST_CHECK_EQUAL(excess, GetSelectionWaste(selection, 0, target));
+ selection.clear();
+
+ // Waste will be greater when fee is greater, but long term fee is the same
+ add_coin(1 * COIN, 1, selection, fee * 2, fee - fee_diff);
+ add_coin(2 * COIN, 2, selection, fee * 2, fee - fee_diff);
+ const CAmount waste2 = GetSelectionWaste(selection, change_cost, target);
+ BOOST_CHECK_GT(waste2, waste1);
+ selection.clear();
+
+ // Waste with change is the change cost and difference between fee and long term fee
+ // With long term fee greater than fee, waste should be less than when long term fee is less than fee
+ add_coin(1 * COIN, 1, selection, fee, fee + fee_diff);
+ add_coin(2 * COIN, 2, selection, fee, fee + fee_diff);
+ const CAmount waste3 = GetSelectionWaste(selection, change_cost, target);
+ BOOST_CHECK_EQUAL(fee_diff * -2 + change_cost, waste3);
+ BOOST_CHECK_LT(waste3, waste1);
+ selection.clear();
+
+ // Waste without change is the excess and difference between fee and long term fee
+ // With long term fee greater than fee, waste should be less than when long term fee is less than fee
+ add_coin(1 * COIN, 1, selection, fee, fee + fee_diff);
+ add_coin(2 * COIN, 2, selection, fee, fee + fee_diff);
+ const CAmount waste_nochange2 = GetSelectionWaste(selection, 0, target);
+ BOOST_CHECK_EQUAL(fee_diff * -2 + excess, waste_nochange2);
+ BOOST_CHECK_LT(waste_nochange2, waste_nochange1);
+ selection.clear();
+
+ // No Waste when fee == long_term_fee, no change, and no excess
+ add_coin(1 * COIN, 1, selection, fee, fee);
+ add_coin(2 * COIN, 2, selection, fee, fee);
+ const CAmount exact_target{in_amt - fee * 2};
+ BOOST_CHECK_EQUAL(0, GetSelectionWaste(selection, /*change_cost=*/0, exact_target));
+ selection.clear();
+
+ // No Waste when (fee - long_term_fee) == (-cost_of_change), and no excess
+ const CAmount new_change_cost{fee_diff * 2};
+ add_coin(1 * COIN, 1, selection, fee, fee + fee_diff);
+ add_coin(2 * COIN, 2, selection, fee, fee + fee_diff);
+ BOOST_CHECK_EQUAL(0, GetSelectionWaste(selection, new_change_cost, target));
+ selection.clear();
+
+ // No Waste when (fee - long_term_fee) == (-excess), no change cost
+ const CAmount new_target{in_amt - fee * 2 - fee_diff * 2};
+ add_coin(1 * COIN, 1, selection, fee, fee + fee_diff);
+ add_coin(2 * COIN, 2, selection, fee, fee + fee_diff);
+ BOOST_CHECK_EQUAL(0, GetSelectionWaste(selection, /* change cost */ 0, new_target));
+}
+
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/db_tests.cpp b/src/wallet/test/db_tests.cpp
index b2eb8e4bca..35ae3707f8 100644
--- a/src/wallet/test/db_tests.cpp
+++ b/src/wallet/test/db_tests.cpp
@@ -1,31 +1,33 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
-#include <memory>
-
#include <boost/test/unit_test.hpp>
#include <fs.h>
#include <test/util/setup_common.h>
#include <wallet/bdb.h>
+#include <fstream>
+#include <memory>
+#include <string>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(db_tests, BasicTestingSetup)
static std::shared_ptr<BerkeleyEnvironment> GetWalletEnv(const fs::path& path, std::string& database_filename)
{
fs::path data_file = BDBDataFile(path);
- database_filename = data_file.filename().string();
+ database_filename = fs::PathToString(data_file.filename());
return GetBerkeleyEnv(data_file.parent_path());
}
BOOST_AUTO_TEST_CASE(getwalletenv_file)
{
std::string test_name = "test_name.dat";
- const fs::path datadir = GetDataDir();
+ const fs::path datadir = gArgs.GetDataDirNet();
fs::path file_path = datadir / test_name;
- std::ofstream f(file_path.BOOST_FILESYSTEM_C_STR);
+ std::ofstream f{file_path};
f.close();
std::string filename;
@@ -37,7 +39,7 @@ BOOST_AUTO_TEST_CASE(getwalletenv_file)
BOOST_AUTO_TEST_CASE(getwalletenv_directory)
{
std::string expected_name = "wallet.dat";
- const fs::path datadir = GetDataDir();
+ const fs::path datadir = gArgs.GetDataDirNet();
std::string filename;
std::shared_ptr<BerkeleyEnvironment> env = GetWalletEnv(datadir, filename);
@@ -47,8 +49,8 @@ BOOST_AUTO_TEST_CASE(getwalletenv_directory)
BOOST_AUTO_TEST_CASE(getwalletenv_g_dbenvs_multiple)
{
- fs::path datadir = GetDataDir() / "1";
- fs::path datadir_2 = GetDataDir() / "2";
+ fs::path datadir = gArgs.GetDataDirNet() / "1";
+ fs::path datadir_2 = gArgs.GetDataDirNet() / "2";
std::string filename;
std::shared_ptr<BerkeleyEnvironment> env_1 = GetWalletEnv(datadir, filename);
@@ -61,8 +63,8 @@ BOOST_AUTO_TEST_CASE(getwalletenv_g_dbenvs_multiple)
BOOST_AUTO_TEST_CASE(getwalletenv_g_dbenvs_free_instance)
{
- fs::path datadir = GetDataDir() / "1";
- fs::path datadir_2 = GetDataDir() / "2";
+ fs::path datadir = gArgs.GetDataDirNet() / "1";
+ fs::path datadir_2 = gArgs.GetDataDirNet() / "2";
std::string filename;
std::shared_ptr <BerkeleyEnvironment> env_1_a = GetWalletEnv(datadir, filename);
@@ -77,3 +79,4 @@ BOOST_AUTO_TEST_CASE(getwalletenv_g_dbenvs_free_instance)
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/fuzz/notifications.cpp b/src/wallet/test/fuzz/notifications.cpp
new file mode 100644
index 0000000000..1c16da25bd
--- /dev/null
+++ b/src/wallet/test/fuzz/notifications.cpp
@@ -0,0 +1,172 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <test/fuzz/FuzzedDataProvider.h>
+#include <test/fuzz/fuzz.h>
+#include <test/fuzz/util.h>
+#include <test/util/setup_common.h>
+#include <util/translation.h>
+#include <wallet/context.h>
+#include <wallet/receive.h>
+#include <wallet/wallet.h>
+#include <wallet/walletdb.h>
+#include <wallet/walletutil.h>
+
+#include <cassert>
+#include <cstdint>
+#include <string>
+#include <vector>
+
+namespace wallet {
+namespace {
+const TestingSetup* g_setup;
+
+void initialize_setup()
+{
+ static const auto testing_setup = MakeNoLogFileContext<const TestingSetup>();
+ g_setup = testing_setup.get();
+}
+
+/**
+ * Wraps a descriptor wallet for fuzzing. The constructor writes the sqlite db
+ * to disk, the destructor deletes it.
+ */
+struct FuzzedWallet {
+ ArgsManager args;
+ WalletContext context;
+ std::shared_ptr<CWallet> wallet;
+ FuzzedWallet(const std::string& name)
+ {
+ context.args = &args;
+ context.chain = g_setup->m_node.chain.get();
+
+ DatabaseOptions options;
+ options.require_create = true;
+ options.create_flags = WALLET_FLAG_DESCRIPTORS;
+ const std::optional<bool> load_on_start;
+ gArgs.ForceSetArg("-keypool", "0"); // Avoid timeout in TopUp()
+
+ DatabaseStatus status;
+ bilingual_str error;
+ std::vector<bilingual_str> warnings;
+ wallet = CreateWallet(context, name, load_on_start, options, status, error, warnings);
+ assert(wallet);
+ assert(error.empty());
+ assert(warnings.empty());
+ assert(wallet->IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS));
+ }
+ ~FuzzedWallet()
+ {
+ const auto name{wallet->GetName()};
+ std::vector<bilingual_str> warnings;
+ std::optional<bool> load_on_start;
+ assert(RemoveWallet(context, wallet, load_on_start, warnings));
+ assert(warnings.empty());
+ UnloadWallet(std::move(wallet));
+ fs::remove_all(GetWalletDir() / name);
+ }
+ CScript GetScriptPubKey(FuzzedDataProvider& fuzzed_data_provider)
+ {
+ auto type{fuzzed_data_provider.PickValueInArray(OUTPUT_TYPES)};
+ CTxDestination dest;
+ bilingual_str error;
+ if (fuzzed_data_provider.ConsumeBool()) {
+ assert(wallet->GetNewDestination(type, "", dest, error));
+ } else {
+ assert(wallet->GetNewChangeDestination(type, dest, error));
+ }
+ assert(error.empty());
+ return GetScriptForDestination(dest);
+ }
+};
+
+FUZZ_TARGET_INIT(wallet_notifications, initialize_setup)
+{
+ FuzzedDataProvider fuzzed_data_provider{buffer.data(), buffer.size()};
+ // The total amount, to be distributed to the wallets a and b in txs
+ // without fee. Thus, the balance of the wallets should always equal the
+ // total amount.
+ const auto total_amount{ConsumeMoney(fuzzed_data_provider)};
+ FuzzedWallet a{"fuzzed_wallet_a"};
+ FuzzedWallet b{"fuzzed_wallet_b"};
+
+ // Keep track of all coins in this test.
+ // Each tuple in the chain represents the coins and the block created with
+ // those coins. Once the block is mined, the next tuple will have an empty
+ // block and the freshly mined coins.
+ using Coins = std::set<std::tuple<CAmount, COutPoint>>;
+ std::vector<std::tuple<Coins, CBlock>> chain;
+ {
+ // Add the initial entry
+ chain.emplace_back();
+ auto& [coins, block]{chain.back()};
+ coins.emplace(total_amount, COutPoint{uint256::ONE, 1});
+ }
+ LIMITED_WHILE(fuzzed_data_provider.ConsumeBool(), 200)
+ {
+ CallOneOf(
+ fuzzed_data_provider,
+ [&] {
+ auto& [coins_orig, block]{chain.back()};
+ // Copy the coins for this block and consume all of them
+ Coins coins = coins_orig;
+ while (!coins.empty()) {
+ // Create a new tx
+ CMutableTransaction tx{};
+ // Add some coins as inputs to it
+ auto num_inputs{fuzzed_data_provider.ConsumeIntegralInRange<int>(1, coins.size())};
+ CAmount in{0};
+ while (num_inputs-- > 0) {
+ const auto& [coin_amt, coin_outpoint]{*coins.begin()};
+ in += coin_amt;
+ tx.vin.emplace_back(coin_outpoint);
+ coins.erase(coins.begin());
+ }
+ // Create some outputs spending all inputs, without fee
+ LIMITED_WHILE(in > 0 && fuzzed_data_provider.ConsumeBool(), 100)
+ {
+ const auto out_value{ConsumeMoney(fuzzed_data_provider, in)};
+ in -= out_value;
+ auto& wallet{fuzzed_data_provider.ConsumeBool() ? a : b};
+ tx.vout.emplace_back(out_value, wallet.GetScriptPubKey(fuzzed_data_provider));
+ }
+ // Spend the remaining input value, if any
+ auto& wallet{fuzzed_data_provider.ConsumeBool() ? a : b};
+ tx.vout.emplace_back(in, wallet.GetScriptPubKey(fuzzed_data_provider));
+ // Add tx to block
+ block.vtx.emplace_back(MakeTransactionRef(tx));
+ }
+ // Mine block
+ a.wallet->blockConnected(block, chain.size());
+ b.wallet->blockConnected(block, chain.size());
+ // Store the coins for the next block
+ Coins coins_new;
+ for (const auto& tx : block.vtx) {
+ uint32_t i{0};
+ for (const auto& out : tx->vout) {
+ coins_new.emplace(out.nValue, COutPoint{tx->GetHash(), i++});
+ }
+ }
+ chain.emplace_back(coins_new, CBlock{});
+ },
+ [&] {
+ if (chain.size() <= 1) return; // The first entry can't be removed
+ auto& [coins, block]{chain.back()};
+ if (block.vtx.empty()) return; // Can only disconnect if the block was submitted first
+ // Disconnect block
+ a.wallet->blockDisconnected(block, chain.size() - 1);
+ b.wallet->blockDisconnected(block, chain.size() - 1);
+ chain.pop_back();
+ });
+ auto& [coins, first_block]{chain.front()};
+ if (!first_block.vtx.empty()) {
+ // Only check balance when at least one block was submitted
+ const auto bal_a{GetBalance(*a.wallet).m_mine_trusted};
+ const auto bal_b{GetBalance(*b.wallet).m_mine_trusted};
+ assert(total_amount == bal_a + bal_b);
+ }
+ }
+}
+} // namespace
+} // namespace wallet
diff --git a/src/wallet/test/init_test_fixture.cpp b/src/wallet/test/init_test_fixture.cpp
index f035a70a20..be38cebafd 100644
--- a/src/wallet/test/init_test_fixture.cpp
+++ b/src/wallet/test/init_test_fixture.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,24 +7,28 @@
#include <util/check.h>
#include <util/system.h>
+#include <fstream>
+#include <string>
+
#include <wallet/test/init_test_fixture.h>
+namespace wallet {
InitWalletDirTestingSetup::InitWalletDirTestingSetup(const std::string& chainName) : BasicTestingSetup(chainName)
{
- m_wallet_client = MakeWalletClient(*m_node.chain, *Assert(m_node.args));
+ m_wallet_loader = MakeWalletLoader(*m_node.chain, *Assert(m_node.args));
std::string sep;
sep += fs::path::preferred_separator;
- m_datadir = GetDataDir();
+ m_datadir = gArgs.GetDataDirNet();
m_cwd = fs::current_path();
m_walletdir_path_cases["default"] = m_datadir / "wallets";
m_walletdir_path_cases["custom"] = m_datadir / "my_wallets";
m_walletdir_path_cases["nonexistent"] = m_datadir / "path_does_not_exist";
m_walletdir_path_cases["file"] = m_datadir / "not_a_directory.dat";
- m_walletdir_path_cases["trailing"] = m_datadir / "wallets" / sep;
- m_walletdir_path_cases["trailing2"] = m_datadir / "wallets" / sep / sep;
+ m_walletdir_path_cases["trailing"] = m_datadir / ("wallets" + sep);
+ m_walletdir_path_cases["trailing2"] = m_datadir / ("wallets" + sep + sep);
fs::current_path(m_datadir);
m_walletdir_path_cases["relative"] = "wallets";
@@ -32,7 +36,7 @@ InitWalletDirTestingSetup::InitWalletDirTestingSetup(const std::string& chainNam
fs::create_directories(m_walletdir_path_cases["default"]);
fs::create_directories(m_walletdir_path_cases["custom"]);
fs::create_directories(m_walletdir_path_cases["relative"]);
- std::ofstream f(m_walletdir_path_cases["file"].BOOST_FILESYSTEM_C_STR);
+ std::ofstream f{m_walletdir_path_cases["file"]};
f.close();
}
@@ -46,5 +50,6 @@ InitWalletDirTestingSetup::~InitWalletDirTestingSetup()
void InitWalletDirTestingSetup::SetWalletDir(const fs::path& walletdir_path)
{
- gArgs.ForceSetArg("-walletdir", walletdir_path.string());
+ gArgs.ForceSetArg("-walletdir", fs::PathToString(walletdir_path));
}
+} // namespace wallet
diff --git a/src/wallet/test/init_test_fixture.h b/src/wallet/test/init_test_fixture.h
index 37ae907de5..df5819fd1d 100644
--- a/src/wallet/test/init_test_fixture.h
+++ b/src/wallet/test/init_test_fixture.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,6 +11,7 @@
#include <test/util/setup_common.h>
+namespace wallet {
struct InitWalletDirTestingSetup: public BasicTestingSetup {
explicit InitWalletDirTestingSetup(const std::string& chainName = CBaseChainParams::MAIN);
~InitWalletDirTestingSetup();
@@ -19,7 +20,8 @@ struct InitWalletDirTestingSetup: public BasicTestingSetup {
fs::path m_datadir;
fs::path m_cwd;
std::map<std::string, fs::path> m_walletdir_path_cases;
- std::unique_ptr<interfaces::WalletClient> m_wallet_client;
+ std::unique_ptr<interfaces::WalletLoader> m_wallet_loader;
};
#endif // BITCOIN_WALLET_TEST_INIT_TEST_FIXTURE_H
+} // namespace wallet
diff --git a/src/wallet/test/init_tests.cpp b/src/wallet/test/init_tests.cpp
index 45e1b8c4b8..7fdecc5642 100644
--- a/src/wallet/test/init_tests.cpp
+++ b/src/wallet/test/init_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,14 +10,15 @@
#include <util/system.h>
#include <wallet/test/init_test_fixture.h>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(init_tests, InitWalletDirTestingSetup)
BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_default)
{
SetWalletDir(m_walletdir_path_cases["default"]);
- bool result = m_wallet_client->verify();
+ bool result = m_wallet_loader->verify();
BOOST_CHECK(result == true);
- fs::path walletdir = gArgs.GetArg("-walletdir", "");
+ fs::path walletdir = gArgs.GetPathArg("-walletdir");
fs::path expected_path = fs::canonical(m_walletdir_path_cases["default"]);
BOOST_CHECK_EQUAL(walletdir, expected_path);
}
@@ -25,9 +26,9 @@ BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_default)
BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_custom)
{
SetWalletDir(m_walletdir_path_cases["custom"]);
- bool result = m_wallet_client->verify();
+ bool result = m_wallet_loader->verify();
BOOST_CHECK(result == true);
- fs::path walletdir = gArgs.GetArg("-walletdir", "");
+ fs::path walletdir = gArgs.GetPathArg("-walletdir");
fs::path expected_path = fs::canonical(m_walletdir_path_cases["custom"]);
BOOST_CHECK_EQUAL(walletdir, expected_path);
}
@@ -37,7 +38,7 @@ BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_does_not_exist)
SetWalletDir(m_walletdir_path_cases["nonexistent"]);
{
ASSERT_DEBUG_LOG("does not exist");
- bool result = m_wallet_client->verify();
+ bool result = m_wallet_loader->verify();
BOOST_CHECK(result == false);
}
}
@@ -47,7 +48,7 @@ BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_is_not_directory)
SetWalletDir(m_walletdir_path_cases["file"]);
{
ASSERT_DEBUG_LOG("is not a directory");
- bool result = m_wallet_client->verify();
+ bool result = m_wallet_loader->verify();
BOOST_CHECK(result == false);
}
}
@@ -57,7 +58,7 @@ BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_is_not_relative)
SetWalletDir(m_walletdir_path_cases["relative"]);
{
ASSERT_DEBUG_LOG("is a relative path");
- bool result = m_wallet_client->verify();
+ bool result = m_wallet_loader->verify();
BOOST_CHECK(result == false);
}
}
@@ -65,9 +66,9 @@ BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_is_not_relative)
BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_no_trailing)
{
SetWalletDir(m_walletdir_path_cases["trailing"]);
- bool result = m_wallet_client->verify();
+ bool result = m_wallet_loader->verify();
BOOST_CHECK(result == true);
- fs::path walletdir = gArgs.GetArg("-walletdir", "");
+ fs::path walletdir = gArgs.GetPathArg("-walletdir");
fs::path expected_path = fs::canonical(m_walletdir_path_cases["default"]);
BOOST_CHECK_EQUAL(walletdir, expected_path);
}
@@ -75,11 +76,12 @@ BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_no_trailing)
BOOST_AUTO_TEST_CASE(walletinit_verify_walletdir_no_trailing2)
{
SetWalletDir(m_walletdir_path_cases["trailing2"]);
- bool result = m_wallet_client->verify();
+ bool result = m_wallet_loader->verify();
BOOST_CHECK(result == true);
- fs::path walletdir = gArgs.GetArg("-walletdir", "");
+ fs::path walletdir = gArgs.GetPathArg("-walletdir");
fs::path expected_path = fs::canonical(m_walletdir_path_cases["default"]);
BOOST_CHECK_EQUAL(walletdir, expected_path);
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/ismine_tests.cpp b/src/wallet/test/ismine_tests.cpp
index 5d25885bd4..dd5cd0af46 100644
--- a/src/wallet/test/ismine_tests.cpp
+++ b/src/wallet/test/ismine_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -13,6 +13,7 @@
#include <boost/test/unit_test.hpp>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(ismine_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(ismine_standard)
@@ -34,7 +35,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2PK compressed
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
scriptPubKey = GetScriptForRawPubKey(pubkeys[0]);
@@ -51,7 +52,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2PK uncompressed
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
scriptPubKey = GetScriptForRawPubKey(uncompressedPubkey);
@@ -68,7 +69,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2PKH compressed
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
scriptPubKey = GetScriptForDestination(PKHash(pubkeys[0]));
@@ -85,7 +86,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2PKH uncompressed
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
scriptPubKey = GetScriptForDestination(PKHash(uncompressedPubkey));
@@ -102,7 +103,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2SH
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
@@ -126,7 +127,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// (P2PKH inside) P2SH inside P2SH (invalid)
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
@@ -144,7 +145,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// (P2PKH inside) P2SH inside P2WSH (invalid)
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
@@ -162,7 +163,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2WPKH inside P2WSH (invalid)
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
@@ -178,7 +179,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// (P2PKH inside) P2WSH inside P2WSH (invalid)
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
@@ -196,7 +197,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2WPKH compressed
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(keys[0]));
@@ -211,7 +212,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2WPKH uncompressed
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(uncompressedKey));
@@ -230,7 +231,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// scriptPubKey multisig
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
@@ -261,7 +262,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2SH multisig
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(uncompressedKey));
@@ -282,7 +283,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2WSH multisig with compressed keys
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(keys[0]));
@@ -308,7 +309,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2WSH multisig with uncompressed key
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(uncompressedKey));
@@ -334,7 +335,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// P2WSH multisig wrapped in P2SH
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
@@ -361,7 +362,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// OP_RETURN
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(keys[0]));
@@ -375,7 +376,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// witness unspendable
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(keys[0]));
@@ -389,7 +390,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// witness unknown
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(keys[0]));
@@ -403,7 +404,7 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
// Nonstandard
{
- CWallet keystore(chain.get(), "", CreateDummyWalletDatabase());
+ CWallet keystore(chain.get(), "", m_args, CreateDummyWalletDatabase());
keystore.SetupLegacyScriptPubKeyMan();
LOCK(keystore.GetLegacyScriptPubKeyMan()->cs_KeyStore);
BOOST_CHECK(keystore.GetLegacyScriptPubKeyMan()->AddKey(keys[0]));
@@ -417,3 +418,4 @@ BOOST_AUTO_TEST_CASE(ismine_standard)
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/psbt_wallet_tests.cpp b/src/wallet/test/psbt_wallet_tests.cpp
index ce7e661b67..b953f402a2 100644
--- a/src/wallet/test/psbt_wallet_tests.cpp
+++ b/src/wallet/test/psbt_wallet_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -11,45 +11,41 @@
#include <test/util/setup_common.h>
#include <wallet/test/wallet_test_fixture.h>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(psbt_wallet_tests, WalletTestingSetup)
+static void import_descriptor(CWallet& wallet, const std::string& descriptor)
+ EXCLUSIVE_LOCKS_REQUIRED(wallet.cs_wallet)
+{
+ AssertLockHeld(wallet.cs_wallet);
+ FlatSigningProvider provider;
+ std::string error;
+ std::unique_ptr<Descriptor> desc = Parse(descriptor, provider, error, /* require_checksum=*/ false);
+ assert(desc);
+ WalletDescriptor w_desc(std::move(desc), 0, 0, 10, 0);
+ wallet.AddWalletDescriptor(w_desc, provider, "", false);
+}
+
BOOST_AUTO_TEST_CASE(psbt_updater_test)
{
- auto spk_man = m_wallet.GetOrCreateLegacyScriptPubKeyMan();
- LOCK2(m_wallet.cs_wallet, spk_man->cs_KeyStore);
+ LOCK(m_wallet.cs_wallet);
+ m_wallet.SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
// Create prevtxs and add to wallet
CDataStream s_prev_tx1(ParseHex("0200000000010158e87a21b56daf0c23be8e7070456c336f7cbaa5c8757924f545887bb2abdd7501000000171600145f275f436b09a8cc9a2eb2a2f528485c68a56323feffffff02d8231f1b0100000017a914aed962d6654f9a2b36608eb9d64d2b260db4f1118700c2eb0b0000000017a914b7f5faf40e3d40a5a459b1db3535f2b72fa921e88702483045022100a22edcc6e5bc511af4cc4ae0de0fcd75c7e04d8c1c3a8aa9d820ed4b967384ec02200642963597b9b1bc22c75e9f3e117284a962188bf5e8a74c895089046a20ad770121035509a48eb623e10aace8bfd0212fdb8a8e5af3c94b0b133b95e114cab89e4f7965000000"), SER_NETWORK, PROTOCOL_VERSION);
CTransactionRef prev_tx1;
s_prev_tx1 >> prev_tx1;
- m_wallet.mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(prev_tx1->GetHash()), std::forward_as_tuple(&m_wallet, prev_tx1));
+ m_wallet.mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(prev_tx1->GetHash()), std::forward_as_tuple(prev_tx1, TxStateInactive{}));
CDataStream s_prev_tx2(ParseHex("0200000001aad73931018bd25f84ae400b68848be09db706eac2ac18298babee71ab656f8b0000000048473044022058f6fc7c6a33e1b31548d481c826c015bd30135aad42cd67790dab66d2ad243b02204a1ced2604c6735b6393e5b41691dd78b00f0c5942fb9f751856faa938157dba01feffffff0280f0fa020000000017a9140fb9463421696b82c833af241c78c17ddbde493487d0f20a270100000017a91429ca74f8a08f81999428185c97b5d852e4063f618765000000"), SER_NETWORK, PROTOCOL_VERSION);
CTransactionRef prev_tx2;
s_prev_tx2 >> prev_tx2;
- m_wallet.mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(prev_tx2->GetHash()), std::forward_as_tuple(&m_wallet, prev_tx2));
-
- // Add scripts
- CScript rs1;
- CDataStream s_rs1(ParseHex("475221029583bf39ae0a609747ad199addd634fa6108559d6c5cd39b4c2183f1ab96e07f2102dab61ff49a14db6a7d02b0cd1fbb78fc4b18312b5b4e54dae4dba2fbfef536d752ae"), SER_NETWORK, PROTOCOL_VERSION);
- s_rs1 >> rs1;
- spk_man->AddCScript(rs1);
-
- CScript rs2;
- CDataStream s_rs2(ParseHex("2200208c2353173743b595dfb4a07b72ba8e42e3797da74e87fe7d9d7497e3b2028903"), SER_NETWORK, PROTOCOL_VERSION);
- s_rs2 >> rs2;
- spk_man->AddCScript(rs2);
-
- CScript ws1;
- CDataStream s_ws1(ParseHex("47522103089dc10c7ac6db54f91329af617333db388cead0c231f723379d1b99030b02dc21023add904f3d6dcf59ddb906b0dee23529b7ffb9ed50e5e86151926860221f0e7352ae"), SER_NETWORK, PROTOCOL_VERSION);
- s_ws1 >> ws1;
- spk_man->AddCScript(ws1);
-
- // Add hd seed
- CKey key = DecodeSecret("5KSSJQ7UNfFGwVgpCZDSHm5rVNhMFcFtvWM3zQ8mW4qNDEN7LFd"); // Mainnet and uncompressed form of cUkG8i1RFfWGWy5ziR11zJ5V4U4W3viSFCfyJmZnvQaUsd1xuF3T
- CPubKey master_pub_key = spk_man->DeriveNewSeed(key);
- spk_man->SetHDSeed(master_pub_key);
- spk_man->NewKeyPool();
+ m_wallet.mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(prev_tx2->GetHash()), std::forward_as_tuple(prev_tx2, TxStateInactive{}));
+
+ // Import descriptors for keys and scripts
+ import_descriptor(m_wallet, "sh(multi(2,xprv9s21ZrQH143K2LE7W4Xf3jATf9jECxSb7wj91ZnmY4qEJrS66Qru9RFqq8xbkgT32ya6HqYJweFdJUEDf5Q6JFV7jMiUws7kQfe6Tv4RbfN/0h/0h/0h,xprv9s21ZrQH143K2LE7W4Xf3jATf9jECxSb7wj91ZnmY4qEJrS66Qru9RFqq8xbkgT32ya6HqYJweFdJUEDf5Q6JFV7jMiUws7kQfe6Tv4RbfN/0h/0h/1h))");
+ import_descriptor(m_wallet, "sh(wsh(multi(2,xprv9s21ZrQH143K2LE7W4Xf3jATf9jECxSb7wj91ZnmY4qEJrS66Qru9RFqq8xbkgT32ya6HqYJweFdJUEDf5Q6JFV7jMiUws7kQfe6Tv4RbfN/0h/0h/2h,xprv9s21ZrQH143K2LE7W4Xf3jATf9jECxSb7wj91ZnmY4qEJrS66Qru9RFqq8xbkgT32ya6HqYJweFdJUEDf5Q6JFV7jMiUws7kQfe6Tv4RbfN/0h/0h/3h)))");
+ import_descriptor(m_wallet, "wpkh(xprv9s21ZrQH143K2LE7W4Xf3jATf9jECxSb7wj91ZnmY4qEJrS66Qru9RFqq8xbkgT32ya6HqYJweFdJUEDf5Q6JFV7jMiUws7kQfe6Tv4RbfN/0h/0h/*h)");
// Call FillPSBT
PartiallySignedTransaction psbtx;
@@ -71,7 +67,8 @@ BOOST_AUTO_TEST_CASE(psbt_updater_test)
// Try to sign the mutated input
SignatureData sigdata;
- BOOST_CHECK(spk_man->FillPSBT(psbtx, SIGHASH_ALL, true, true) != TransactionError::OK);
+ BOOST_CHECK(m_wallet.FillPSBT(psbtx, complete, SIGHASH_ALL, true, true) != TransactionError::OK);
+ //BOOST_CHECK(spk_man->FillPSBT(psbtx, PrecomputePSBTData(psbtx), SIGHASH_ALL, true, true) != TransactionError::OK);
}
BOOST_AUTO_TEST_CASE(parse_hd_keypath)
@@ -149,3 +146,4 @@ BOOST_AUTO_TEST_CASE(parse_hd_keypath)
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/scriptpubkeyman_tests.cpp b/src/wallet/test/scriptpubkeyman_tests.cpp
index 347a436429..a524b85ccb 100644
--- a/src/wallet/test/scriptpubkeyman_tests.cpp
+++ b/src/wallet/test/scriptpubkeyman_tests.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2020 The Bitcoin Core developers
+// Copyright (c) 2020-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,7 @@
#include <boost/test/unit_test.hpp>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(scriptpubkeyman_tests, BasicTestingSetup)
// Test LegacyScriptPubKeyMan::CanProvide behavior, making sure it returns true
@@ -17,7 +18,7 @@ BOOST_FIXTURE_TEST_SUITE(scriptpubkeyman_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(CanProvide)
{
// Set up wallet and keyman variables.
- CWallet wallet(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ CWallet wallet(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
LegacyScriptPubKeyMan& keyman = *wallet.GetOrCreateLegacyScriptPubKeyMan();
// Make a 1 of 2 multisig script
@@ -39,3 +40,4 @@ BOOST_AUTO_TEST_CASE(CanProvide)
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/spend_tests.cpp b/src/wallet/test/spend_tests.cpp
new file mode 100644
index 0000000000..334bd5b8bc
--- /dev/null
+++ b/src/wallet/test/spend_tests.cpp
@@ -0,0 +1,118 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <consensus/amount.h>
+#include <policy/fees.h>
+#include <validation.h>
+#include <wallet/coincontrol.h>
+#include <wallet/spend.h>
+#include <wallet/test/util.h>
+#include <wallet/test/wallet_test_fixture.h>
+
+#include <boost/test/unit_test.hpp>
+
+namespace wallet {
+BOOST_FIXTURE_TEST_SUITE(spend_tests, WalletTestingSetup)
+
+BOOST_FIXTURE_TEST_CASE(SubtractFee, TestChain100Setup)
+{
+ CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey()));
+ auto wallet = CreateSyncedWallet(*m_node.chain, m_node.chainman->ActiveChain(), m_args, coinbaseKey);
+
+ // Check that a subtract-from-recipient transaction slightly less than the
+ // coinbase input amount does not create a change output (because it would
+ // be uneconomical to add and spend the output), and make sure it pays the
+ // leftover input amount which would have been change to the recipient
+ // instead of the miner.
+ auto check_tx = [&wallet](CAmount leftover_input_amount) {
+ CRecipient recipient{GetScriptForRawPubKey({}), 50 * COIN - leftover_input_amount, true /* subtract fee */};
+ CTransactionRef tx;
+ CAmount fee;
+ int change_pos = -1;
+ bilingual_str error;
+ CCoinControl coin_control;
+ coin_control.m_feerate.emplace(10000);
+ coin_control.fOverrideFeeRate = true;
+ // We need to use a change type with high cost of change so that the leftover amount will be dropped to fee instead of added as a change output
+ coin_control.m_change_type = OutputType::LEGACY;
+ FeeCalculation fee_calc;
+ BOOST_CHECK(CreateTransaction(*wallet, {recipient}, tx, fee, change_pos, error, coin_control, fee_calc));
+ BOOST_CHECK_EQUAL(tx->vout.size(), 1);
+ BOOST_CHECK_EQUAL(tx->vout[0].nValue, recipient.nAmount + leftover_input_amount - fee);
+ BOOST_CHECK_GT(fee, 0);
+ return fee;
+ };
+
+ // Send full input amount to recipient, check that only nonzero fee is
+ // subtracted (to_reduce == fee).
+ const CAmount fee{check_tx(0)};
+
+ // Send slightly less than full input amount to recipient, check leftover
+ // input amount is paid to recipient not the miner (to_reduce == fee - 123)
+ BOOST_CHECK_EQUAL(fee, check_tx(123));
+
+ // Send full input minus fee amount to recipient, check leftover input
+ // amount is paid to recipient not the miner (to_reduce == 0)
+ BOOST_CHECK_EQUAL(fee, check_tx(fee));
+
+ // Send full input minus more than the fee amount to recipient, check
+ // leftover input amount is paid to recipient not the miner (to_reduce ==
+ // -123). This overpays the recipient instead of overpaying the miner more
+ // than double the necessary fee.
+ BOOST_CHECK_EQUAL(fee, check_tx(fee + 123));
+}
+
+static void TestFillInputToWeight(int64_t additional_weight, std::vector<int64_t> expected_stack_sizes)
+{
+ static const int64_t EMPTY_INPUT_WEIGHT = GetTransactionInputWeight(CTxIn());
+
+ CTxIn input;
+ int64_t target_weight = EMPTY_INPUT_WEIGHT + additional_weight;
+ BOOST_CHECK(FillInputToWeight(input, target_weight));
+ BOOST_CHECK_EQUAL(GetTransactionInputWeight(input), target_weight);
+ BOOST_CHECK_EQUAL(input.scriptWitness.stack.size(), expected_stack_sizes.size());
+ for (unsigned int i = 0; i < expected_stack_sizes.size(); ++i) {
+ BOOST_CHECK_EQUAL(input.scriptWitness.stack[i].size(), expected_stack_sizes[i]);
+ }
+}
+
+BOOST_FIXTURE_TEST_CASE(FillInputToWeightTest, BasicTestingSetup)
+{
+ {
+ // Less than or equal minimum of 165 should not add any witness data
+ CTxIn input;
+ BOOST_CHECK(!FillInputToWeight(input, -1));
+ BOOST_CHECK_EQUAL(GetTransactionInputWeight(input), 165);
+ BOOST_CHECK_EQUAL(input.scriptWitness.stack.size(), 0);
+ BOOST_CHECK(!FillInputToWeight(input, 0));
+ BOOST_CHECK_EQUAL(GetTransactionInputWeight(input), 165);
+ BOOST_CHECK_EQUAL(input.scriptWitness.stack.size(), 0);
+ BOOST_CHECK(!FillInputToWeight(input, 164));
+ BOOST_CHECK_EQUAL(GetTransactionInputWeight(input), 165);
+ BOOST_CHECK_EQUAL(input.scriptWitness.stack.size(), 0);
+ BOOST_CHECK(FillInputToWeight(input, 165));
+ BOOST_CHECK_EQUAL(GetTransactionInputWeight(input), 165);
+ BOOST_CHECK_EQUAL(input.scriptWitness.stack.size(), 0);
+ }
+
+ // Make sure we can add at least one weight
+ TestFillInputToWeight(1, {0});
+
+ // 1 byte compact size uint boundary
+ TestFillInputToWeight(252, {251});
+ TestFillInputToWeight(253, {83, 168});
+ TestFillInputToWeight(262, {86, 174});
+ TestFillInputToWeight(263, {260});
+
+ // 3 byte compact size uint boundary
+ TestFillInputToWeight(65535, {65532});
+ TestFillInputToWeight(65536, {21842, 43688});
+ TestFillInputToWeight(65545, {21845, 43694});
+ TestFillInputToWeight(65546, {65541});
+
+ // Note: We don't test the next boundary because of memory allocation constraints.
+}
+
+BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/util.cpp b/src/wallet/test/util.cpp
new file mode 100644
index 0000000000..aa3121511d
--- /dev/null
+++ b/src/wallet/test/util.cpp
@@ -0,0 +1,48 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <wallet/test/util.h>
+
+#include <chain.h>
+#include <key.h>
+#include <key_io.h>
+#include <test/util/setup_common.h>
+#include <wallet/wallet.h>
+#include <wallet/walletdb.h>
+
+#include <boost/test/unit_test.hpp>
+
+#include <memory>
+
+namespace wallet {
+std::unique_ptr<CWallet> CreateSyncedWallet(interfaces::Chain& chain, CChain& cchain, ArgsManager& args, const CKey& key)
+{
+ auto wallet = std::make_unique<CWallet>(&chain, "", args, CreateMockWalletDatabase());
+ {
+ LOCK2(wallet->cs_wallet, ::cs_main);
+ wallet->SetLastBlockProcessed(cchain.Height(), cchain.Tip()->GetBlockHash());
+ }
+ wallet->LoadWallet();
+ {
+ LOCK(wallet->cs_wallet);
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet->SetupDescriptorScriptPubKeyMans();
+
+ FlatSigningProvider provider;
+ std::string error;
+ std::unique_ptr<Descriptor> desc = Parse("combo(" + EncodeSecret(key) + ")", provider, error, /* require_checksum=*/ false);
+ assert(desc);
+ WalletDescriptor w_desc(std::move(desc), 0, 0, 1, 1);
+ if (!wallet->AddWalletDescriptor(w_desc, provider, "", false)) assert(false);
+ }
+ WalletRescanReserver reserver(*wallet);
+ reserver.reserve();
+ CWallet::ScanResult result = wallet->ScanForWalletTransactions(cchain.Genesis()->GetBlockHash(), 0 /* start_height */, {} /* max_height */, reserver, false /* update */);
+ BOOST_CHECK_EQUAL(result.status, CWallet::ScanResult::SUCCESS);
+ BOOST_CHECK_EQUAL(result.last_scanned_block, cchain.Tip()->GetBlockHash());
+ BOOST_CHECK_EQUAL(*result.last_scanned_height, cchain.Height());
+ BOOST_CHECK(result.last_failed_block.IsNull());
+ return wallet;
+}
+} // namespace wallet
diff --git a/src/wallet/test/util.h b/src/wallet/test/util.h
new file mode 100644
index 0000000000..712d0251cd
--- /dev/null
+++ b/src/wallet/test/util.h
@@ -0,0 +1,23 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_WALLET_TEST_UTIL_H
+#define BITCOIN_WALLET_TEST_UTIL_H
+
+#include <memory>
+
+class ArgsManager;
+class CChain;
+class CKey;
+namespace interfaces {
+class Chain;
+} // namespace interfaces
+
+namespace wallet {
+class CWallet;
+
+std::unique_ptr<CWallet> CreateSyncedWallet(interfaces::Chain& chain, CChain& cchain, ArgsManager& args, const CKey& key);
+} // namespace wallet
+
+#endif // BITCOIN_WALLET_TEST_UTIL_H
diff --git a/src/wallet/test/wallet_crypto_tests.cpp b/src/wallet/test/wallet_crypto_tests.cpp
index 5b421840e0..166e27bab9 100644
--- a/src/wallet/test/wallet_crypto_tests.cpp
+++ b/src/wallet/test/wallet_crypto_tests.cpp
@@ -10,6 +10,7 @@
#include <boost/test/unit_test.hpp>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(wallet_crypto_tests, BasicTestingSetup)
class TestCrypter
@@ -124,3 +125,4 @@ BOOST_AUTO_TEST_CASE(decrypt) {
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/wallet_test_fixture.cpp b/src/wallet/test/wallet_test_fixture.cpp
index badf2eb459..cb006dea3a 100644
--- a/src/wallet/test/wallet_test_fixture.cpp
+++ b/src/wallet/test/wallet_test_fixture.cpp
@@ -1,15 +1,23 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <wallet/test/wallet_test_fixture.h>
+#include <scheduler.h>
+
+namespace wallet {
WalletTestingSetup::WalletTestingSetup(const std::string& chainName)
: TestingSetup(chainName),
- m_wallet(m_node.chain.get(), "", CreateMockWalletDatabase())
+ m_wallet(m_node.chain.get(), "", m_args, CreateMockWalletDatabase())
{
- bool fFirstRun;
- m_wallet.LoadWallet(fFirstRun);
+ m_wallet.LoadWallet();
m_chain_notifications_handler = m_node.chain->handleNotifications({ &m_wallet, [](CWallet*) {} });
- m_wallet_client->registerRpcs();
+ m_wallet_loader->registerRpcs();
+}
+
+WalletTestingSetup::~WalletTestingSetup()
+{
+ if (m_node.scheduler) m_node.scheduler->stop();
}
+} // namespace wallet
diff --git a/src/wallet/test/wallet_test_fixture.h b/src/wallet/test/wallet_test_fixture.h
index ab7fb8c42b..d4b855b145 100644
--- a/src/wallet/test/wallet_test_fixture.h
+++ b/src/wallet/test/wallet_test_fixture.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -15,14 +15,17 @@
#include <memory>
+namespace wallet {
/** Testing setup and teardown for wallet.
*/
struct WalletTestingSetup : public TestingSetup {
explicit WalletTestingSetup(const std::string& chainName = CBaseChainParams::MAIN);
+ ~WalletTestingSetup();
- std::unique_ptr<interfaces::WalletClient> m_wallet_client = interfaces::MakeWalletClient(*m_node.chain, *Assert(m_node.args));
+ std::unique_ptr<interfaces::WalletLoader> m_wallet_loader = interfaces::MakeWalletLoader(*m_node.chain, *Assert(m_node.args));
CWallet m_wallet;
std::unique_ptr<interfaces::Handler> m_chain_notifications_handler;
};
+} // namespace wallet
#endif // BITCOIN_WALLET_TEST_WALLET_TEST_FIXTURE_H
diff --git a/src/wallet/test/wallet_tests.cpp b/src/wallet/test/wallet_tests.cpp
index 5480f3ab22..7693c9c0e8 100644
--- a/src/wallet/test/wallet_tests.cpp
+++ b/src/wallet/test/wallet_tests.cpp
@@ -1,35 +1,43 @@
-// Copyright (c) 2012-2020 The Bitcoin Core developers
+// Copyright (c) 2012-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <wallet/wallet.h>
+#include <any>
#include <future>
#include <memory>
#include <stdint.h>
#include <vector>
#include <interfaces/chain.h>
+#include <key_io.h>
+#include <node/blockstorage.h>
#include <node/context.h>
#include <policy/policy.h>
#include <rpc/server.h>
#include <test/util/logging.h>
#include <test/util/setup_common.h>
-#include <util/ref.h>
#include <util/translation.h>
#include <validation.h>
#include <wallet/coincontrol.h>
+#include <wallet/context.h>
+#include <wallet/receive.h>
+#include <wallet/spend.h>
+#include <wallet/test/util.h>
#include <wallet/test/wallet_test_fixture.h>
#include <boost/test/unit_test.hpp>
#include <univalue.h>
+using node::MAX_BLOCKFILE_SIZE;
+using node::UnlinkPrunedFiles;
+
+namespace wallet {
RPCHelpMan importmulti();
RPCHelpMan dumpwallet();
RPCHelpMan importwallet();
-extern RecursiveMutex cs_wallets;
-
// Ensure that fee levels defined in the wallet are at least as high
// as the default levels for node policy.
static_assert(DEFAULT_TRANSACTION_MINFEE >= DEFAULT_MIN_RELAY_TX_FEE, "wallet minimum fee is smaller than default relay fee");
@@ -37,15 +45,18 @@ static_assert(WALLET_INCREMENTAL_RELAY_FEE >= DEFAULT_INCREMENTAL_RELAY_FEE, "wa
BOOST_FIXTURE_TEST_SUITE(wallet_tests, WalletTestingSetup)
-static std::shared_ptr<CWallet> TestLoadWallet(interfaces::Chain& chain)
+static const std::shared_ptr<CWallet> TestLoadWallet(WalletContext& context)
{
DatabaseOptions options;
+ options.create_flags = WALLET_FLAG_DESCRIPTORS;
DatabaseStatus status;
bilingual_str error;
std::vector<bilingual_str> warnings;
auto database = MakeWalletDatabase("", options, status, error);
- auto wallet = CWallet::Create(chain, "", std::move(database), options.create_flags, error, warnings);
- wallet->postInitProcess();
+ auto wallet = CWallet::Create(context, "", std::move(database), options.create_flags, error, warnings);
+ if (context.chain) {
+ wallet->postInitProcess();
+ }
return wallet;
}
@@ -65,32 +76,37 @@ static CMutableTransaction TestSimpleSpend(const CTransaction& from, uint32_t in
keystore.AddKey(key);
std::map<COutPoint, Coin> coins;
coins[mtx.vin[0].prevout].out = from.vout[index];
- std::map<int, std::string> input_errors;
+ std::map<int, bilingual_str> input_errors;
BOOST_CHECK(SignTransaction(mtx, &keystore, coins, SIGHASH_ALL, input_errors));
return mtx;
}
static void AddKey(CWallet& wallet, const CKey& key)
{
- auto spk_man = wallet.GetOrCreateLegacyScriptPubKeyMan();
- LOCK2(wallet.cs_wallet, spk_man->cs_KeyStore);
- spk_man->AddKeyPubKey(key, key.GetPubKey());
+ LOCK(wallet.cs_wallet);
+ FlatSigningProvider provider;
+ std::string error;
+ std::unique_ptr<Descriptor> desc = Parse("combo(" + EncodeSecret(key) + ")", provider, error, /* require_checksum=*/ false);
+ assert(desc);
+ WalletDescriptor w_desc(std::move(desc), 0, 0, 1, 1);
+ if (!wallet.AddWalletDescriptor(w_desc, provider, "", false)) assert(false);
}
BOOST_FIXTURE_TEST_CASE(scan_for_wallet_transactions, TestChain100Setup)
{
// Cap last block file size, and mine new block in a new block file.
- CBlockIndex* oldTip = ::ChainActive().Tip();
- GetBlockFileInfo(oldTip->GetBlockPos().nFile)->nSize = MAX_BLOCKFILE_SIZE;
+ CBlockIndex* oldTip = m_node.chainman->ActiveChain().Tip();
+ WITH_LOCK(::cs_main, m_node.chainman->m_blockman.GetBlockFileInfo(oldTip->GetBlockPos().nFile)->nSize = MAX_BLOCKFILE_SIZE);
CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey()));
- CBlockIndex* newTip = ::ChainActive().Tip();
+ CBlockIndex* newTip = m_node.chainman->ActiveChain().Tip();
// Verify ScanForWalletTransactions fails to read an unknown start block.
{
- CWallet wallet(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ CWallet wallet(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
{
LOCK(wallet.cs_wallet);
- wallet.SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
+ wallet.SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet.SetLastBlockProcessed(m_node.chainman->ActiveChain().Height(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
}
AddKey(wallet, coinbaseKey);
WalletRescanReserver reserver(wallet);
@@ -100,16 +116,17 @@ BOOST_FIXTURE_TEST_CASE(scan_for_wallet_transactions, TestChain100Setup)
BOOST_CHECK(result.last_failed_block.IsNull());
BOOST_CHECK(result.last_scanned_block.IsNull());
BOOST_CHECK(!result.last_scanned_height);
- BOOST_CHECK_EQUAL(wallet.GetBalance().m_mine_immature, 0);
+ BOOST_CHECK_EQUAL(GetBalance(wallet).m_mine_immature, 0);
}
// Verify ScanForWalletTransactions picks up transactions in both the old
// and new block files.
{
- CWallet wallet(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ CWallet wallet(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
{
LOCK(wallet.cs_wallet);
- wallet.SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
+ wallet.SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet.SetLastBlockProcessed(m_node.chainman->ActiveChain().Height(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
}
AddKey(wallet, coinbaseKey);
WalletRescanReserver reserver(wallet);
@@ -119,23 +136,26 @@ BOOST_FIXTURE_TEST_CASE(scan_for_wallet_transactions, TestChain100Setup)
BOOST_CHECK(result.last_failed_block.IsNull());
BOOST_CHECK_EQUAL(result.last_scanned_block, newTip->GetBlockHash());
BOOST_CHECK_EQUAL(*result.last_scanned_height, newTip->nHeight);
- BOOST_CHECK_EQUAL(wallet.GetBalance().m_mine_immature, 100 * COIN);
+ BOOST_CHECK_EQUAL(GetBalance(wallet).m_mine_immature, 100 * COIN);
}
// Prune the older block file.
+ int file_number;
{
LOCK(cs_main);
- Assert(m_node.chainman)->m_blockman.PruneOneBlockFile(oldTip->GetBlockPos().nFile);
+ file_number = oldTip->GetBlockPos().nFile;
+ Assert(m_node.chainman)->m_blockman.PruneOneBlockFile(file_number);
}
- UnlinkPrunedFiles({oldTip->GetBlockPos().nFile});
+ UnlinkPrunedFiles({file_number});
// Verify ScanForWalletTransactions only picks transactions in the new block
// file.
{
- CWallet wallet(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ CWallet wallet(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
{
LOCK(wallet.cs_wallet);
- wallet.SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
+ wallet.SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet.SetLastBlockProcessed(m_node.chainman->ActiveChain().Height(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
}
AddKey(wallet, coinbaseKey);
WalletRescanReserver reserver(wallet);
@@ -145,22 +165,24 @@ BOOST_FIXTURE_TEST_CASE(scan_for_wallet_transactions, TestChain100Setup)
BOOST_CHECK_EQUAL(result.last_failed_block, oldTip->GetBlockHash());
BOOST_CHECK_EQUAL(result.last_scanned_block, newTip->GetBlockHash());
BOOST_CHECK_EQUAL(*result.last_scanned_height, newTip->nHeight);
- BOOST_CHECK_EQUAL(wallet.GetBalance().m_mine_immature, 50 * COIN);
+ BOOST_CHECK_EQUAL(GetBalance(wallet).m_mine_immature, 50 * COIN);
}
// Prune the remaining block file.
{
LOCK(cs_main);
- Assert(m_node.chainman)->m_blockman.PruneOneBlockFile(newTip->GetBlockPos().nFile);
+ file_number = newTip->GetBlockPos().nFile;
+ Assert(m_node.chainman)->m_blockman.PruneOneBlockFile(file_number);
}
- UnlinkPrunedFiles({newTip->GetBlockPos().nFile});
+ UnlinkPrunedFiles({file_number});
// Verify ScanForWalletTransactions scans no blocks.
{
- CWallet wallet(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ CWallet wallet(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
{
LOCK(wallet.cs_wallet);
- wallet.SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
+ wallet.SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet.SetLastBlockProcessed(m_node.chainman->ActiveChain().Height(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
}
AddKey(wallet, coinbaseKey);
WalletRescanReserver reserver(wallet);
@@ -170,33 +192,37 @@ BOOST_FIXTURE_TEST_CASE(scan_for_wallet_transactions, TestChain100Setup)
BOOST_CHECK_EQUAL(result.last_failed_block, newTip->GetBlockHash());
BOOST_CHECK(result.last_scanned_block.IsNull());
BOOST_CHECK(!result.last_scanned_height);
- BOOST_CHECK_EQUAL(wallet.GetBalance().m_mine_immature, 0);
+ BOOST_CHECK_EQUAL(GetBalance(wallet).m_mine_immature, 0);
}
}
BOOST_FIXTURE_TEST_CASE(importmulti_rescan, TestChain100Setup)
{
// Cap last block file size, and mine new block in a new block file.
- CBlockIndex* oldTip = ::ChainActive().Tip();
- GetBlockFileInfo(oldTip->GetBlockPos().nFile)->nSize = MAX_BLOCKFILE_SIZE;
+ CBlockIndex* oldTip = m_node.chainman->ActiveChain().Tip();
+ WITH_LOCK(::cs_main, m_node.chainman->m_blockman.GetBlockFileInfo(oldTip->GetBlockPos().nFile)->nSize = MAX_BLOCKFILE_SIZE);
CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey()));
- CBlockIndex* newTip = ::ChainActive().Tip();
+ CBlockIndex* newTip = m_node.chainman->ActiveChain().Tip();
// Prune the older block file.
+ int file_number;
{
LOCK(cs_main);
- Assert(m_node.chainman)->m_blockman.PruneOneBlockFile(oldTip->GetBlockPos().nFile);
+ file_number = oldTip->GetBlockPos().nFile;
+ Assert(m_node.chainman)->m_blockman.PruneOneBlockFile(file_number);
}
- UnlinkPrunedFiles({oldTip->GetBlockPos().nFile});
+ UnlinkPrunedFiles({file_number});
// Verify importmulti RPC returns failure for a key whose creation time is
// before the missing block, and success for a key whose creation time is
// after.
{
- std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ const std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
wallet->SetupLegacyScriptPubKeyMan();
WITH_LOCK(wallet->cs_wallet, wallet->SetLastBlockProcessed(newTip->nHeight, newTip->GetBlockHash()));
- AddWallet(wallet);
+ WalletContext context;
+ context.args = &gArgs;
+ AddWallet(context, wallet);
UniValue keys;
keys.setArray();
UniValue key;
@@ -213,8 +239,8 @@ BOOST_FIXTURE_TEST_CASE(importmulti_rescan, TestChain100Setup)
key.pushKV("timestamp", newTip->GetBlockTimeMax() + TIMESTAMP_WINDOW + 1);
key.pushKV("internal", UniValue(true));
keys.push_back(key);
- util::Ref context;
- JSONRPCRequest request(context);
+ JSONRPCRequest request;
+ request.context = &context;
request.params.setArray();
request.params.push_back(keys);
@@ -225,10 +251,10 @@ BOOST_FIXTURE_TEST_CASE(importmulti_rescan, TestChain100Setup)
"seconds of key creation, and could contain transactions pertaining to the key. As a result, "
"transactions and coins using this key may not appear in the wallet. This error could be caused "
"by pruning or data corruption (see bitcoind log for details) and could be dealt with by "
- "downloading and rescanning the relevant blocks (see -reindex and -rescan "
- "options).\"}},{\"success\":true}]",
+ "downloading and rescanning the relevant blocks (see -reindex option and rescanblockchain "
+ "RPC).\"}},{\"success\":true}]",
0, oldTip->GetBlockTimeMax(), TIMESTAMP_WINDOW));
- RemoveWallet(wallet, nullopt);
+ RemoveWallet(context, wallet, /* load_on_start= */ std::nullopt);
}
}
@@ -240,7 +266,7 @@ BOOST_FIXTURE_TEST_CASE(importwallet_rescan, TestChain100Setup)
{
// Create two blocks with same timestamp to verify that importwallet rescan
// will pick up both blocks, not just the first.
- const int64_t BLOCK_TIME = ::ChainActive().Tip()->GetBlockTimeMax() + 5;
+ const int64_t BLOCK_TIME = m_node.chainman->ActiveChain().Tip()->GetBlockTimeMax() + 5;
SetMockTime(BLOCK_TIME);
m_coinbase_txns.emplace_back(CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey())).vtx[0]);
m_coinbase_txns.emplace_back(CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey())).vtx[0]);
@@ -251,44 +277,48 @@ BOOST_FIXTURE_TEST_CASE(importwallet_rescan, TestChain100Setup)
SetMockTime(KEY_TIME);
m_coinbase_txns.emplace_back(CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey())).vtx[0]);
- std::string backup_file = (GetDataDir() / "wallet.backup").string();
+ std::string backup_file = fs::PathToString(gArgs.GetDataDirNet() / "wallet.backup");
// Import key into wallet and call dumpwallet to create backup file.
{
- std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ WalletContext context;
+ context.args = &gArgs;
+ const std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
{
auto spk_man = wallet->GetOrCreateLegacyScriptPubKeyMan();
LOCK2(wallet->cs_wallet, spk_man->cs_KeyStore);
spk_man->mapKeyMetadata[coinbaseKey.GetPubKey().GetID()].nCreateTime = KEY_TIME;
spk_man->AddKeyPubKey(coinbaseKey, coinbaseKey.GetPubKey());
- AddWallet(wallet);
- wallet->SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
+ AddWallet(context, wallet);
+ wallet->SetLastBlockProcessed(m_node.chainman->ActiveChain().Height(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
}
- util::Ref context;
- JSONRPCRequest request(context);
+ JSONRPCRequest request;
+ request.context = &context;
request.params.setArray();
request.params.push_back(backup_file);
- ::dumpwallet().HandleRequest(request);
- RemoveWallet(wallet, nullopt);
+ wallet::dumpwallet().HandleRequest(request);
+ RemoveWallet(context, wallet, /* load_on_start= */ std::nullopt);
}
// Call importwallet RPC and verify all blocks with timestamps >= BLOCK_TIME
// were scanned, and no prior blocks were scanned.
{
- std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", CreateDummyWalletDatabase());
+ const std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
LOCK(wallet->cs_wallet);
wallet->SetupLegacyScriptPubKeyMan();
- util::Ref context;
- JSONRPCRequest request(context);
+ WalletContext context;
+ context.args = &gArgs;
+ JSONRPCRequest request;
+ request.context = &context;
request.params.setArray();
request.params.push_back(backup_file);
- AddWallet(wallet);
- wallet->SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
- ::importwallet().HandleRequest(request);
- RemoveWallet(wallet, nullopt);
+ AddWallet(context, wallet);
+ wallet->SetLastBlockProcessed(m_node.chainman->ActiveChain().Height(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
+ wallet::importwallet().HandleRequest(request);
+ RemoveWallet(context, wallet, /* load_on_start= */ std::nullopt);
BOOST_CHECK_EQUAL(wallet->mapWallet.size(), 3U);
BOOST_CHECK_EQUAL(m_coinbase_txns.size(), 103U);
@@ -298,8 +328,6 @@ BOOST_FIXTURE_TEST_CASE(importwallet_rescan, TestChain100Setup)
BOOST_CHECK_EQUAL(found, expected);
}
}
-
- SetMockTime(0);
}
// Check that GetImmatureCredit() returns a newly calculated value instead of
@@ -310,31 +338,30 @@ BOOST_FIXTURE_TEST_CASE(importwallet_rescan, TestChain100Setup)
// debit functions.
BOOST_FIXTURE_TEST_CASE(coin_mark_dirty_immature_credit, TestChain100Setup)
{
- CWallet wallet(m_node.chain.get(), "", CreateDummyWalletDatabase());
- auto spk_man = wallet.GetOrCreateLegacyScriptPubKeyMan();
- CWalletTx wtx(&wallet, m_coinbase_txns.back());
+ CWallet wallet(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
+ CWalletTx wtx{m_coinbase_txns.back(), TxStateConfirmed{m_node.chainman->ActiveChain().Tip()->GetBlockHash(), m_node.chainman->ActiveChain().Height(), /*position_in_block=*/0}};
- LOCK2(wallet.cs_wallet, spk_man->cs_KeyStore);
- wallet.SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
+ LOCK(wallet.cs_wallet);
+ wallet.SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet.SetupDescriptorScriptPubKeyMans();
- CWalletTx::Confirmation confirm(CWalletTx::Status::CONFIRMED, ::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash(), 0);
- wtx.m_confirm = confirm;
+ wallet.SetLastBlockProcessed(m_node.chainman->ActiveChain().Height(), m_node.chainman->ActiveChain().Tip()->GetBlockHash());
// Call GetImmatureCredit() once before adding the key to the wallet to
// cache the current immature credit amount, which is 0.
- BOOST_CHECK_EQUAL(wtx.GetImmatureCredit(), 0);
+ BOOST_CHECK_EQUAL(CachedTxGetImmatureCredit(wallet, wtx), 0);
// Invalidate the cached value, add the key, and make sure a new immature
// credit amount is calculated.
wtx.MarkDirty();
- BOOST_CHECK(spk_man->AddKeyPubKey(coinbaseKey, coinbaseKey.GetPubKey()));
- BOOST_CHECK_EQUAL(wtx.GetImmatureCredit(), 50*COIN);
+ AddKey(wallet, coinbaseKey);
+ BOOST_CHECK_EQUAL(CachedTxGetImmatureCredit(wallet, wtx), 50*COIN);
}
static int64_t AddTx(ChainstateManager& chainman, CWallet& wallet, uint32_t lockTime, int64_t mockTime, int64_t blockTime)
{
CMutableTransaction tx;
- CWalletTx::Confirmation confirm;
+ TxState state = TxStateInactive{};
tx.nLockTime = lockTime;
SetMockTime(mockTime);
CBlockIndex* block = nullptr;
@@ -346,13 +373,13 @@ static int64_t AddTx(ChainstateManager& chainman, CWallet& wallet, uint32_t lock
block = inserted.first->second;
block->nTime = blockTime;
block->phashBlock = &hash;
- confirm = {CWalletTx::Status::CONFIRMED, block->nHeight, hash, 0};
+ state = TxStateConfirmed{hash, block->nHeight, /*position_in_block=*/0};
}
-
- // If transaction is already in map, to avoid inconsistencies, unconfirmation
- // is needed before confirm again with different block.
- return wallet.AddToWallet(MakeTransactionRef(tx), confirm, [&](CWalletTx& wtx, bool /* new_tx */) {
- wtx.setUnconfirmed();
+ return wallet.AddToWallet(MakeTransactionRef(tx), state, [&](CWalletTx& wtx, bool /* new_tx */) {
+ // Assign wtx.m_state to simplify test and avoid the need to simulate
+ // reorg events. Without this, AddToWallet asserts false when the same
+ // transaction is confirmed in different blocks.
+ wtx.m_state = state;
return true;
})->nTimeSmart;
}
@@ -380,9 +407,6 @@ BOOST_AUTO_TEST_CASE(ComputeTimeSmart)
// If there are future entries, new transaction should use time of the
// newest entry that is no more than 300 seconds ahead of the clock time.
BOOST_CHECK_EQUAL(AddTx(*m_node.chainman, m_wallet, 5, 50, 600), 300);
-
- // Reset mock time for other tests.
- SetMockTime(0);
}
BOOST_AUTO_TEST_CASE(LoadReceiveRequests)
@@ -390,11 +414,11 @@ BOOST_AUTO_TEST_CASE(LoadReceiveRequests)
CTxDestination dest = PKHash();
LOCK(m_wallet.cs_wallet);
WalletBatch batch{m_wallet.GetDatabase()};
- m_wallet.AddDestData(batch, dest, "misc", "val_misc");
- m_wallet.AddDestData(batch, dest, "rr0", "val_rr0");
- m_wallet.AddDestData(batch, dest, "rr1", "val_rr1");
+ m_wallet.SetAddressUsed(batch, dest, true);
+ m_wallet.SetAddressReceiveRequest(batch, dest, "0", "val_rr0");
+ m_wallet.SetAddressReceiveRequest(batch, dest, "1", "val_rr1");
- auto values = m_wallet.GetDestValues("rr");
+ auto values = m_wallet.GetAddressReceiveRequests();
BOOST_CHECK_EQUAL(values.size(), 2U);
BOOST_CHECK_EQUAL(values[0], "val_rr0");
BOOST_CHECK_EQUAL(values[1], "val_rr1");
@@ -402,7 +426,7 @@ BOOST_AUTO_TEST_CASE(LoadReceiveRequests)
// Test some watch-only LegacyScriptPubKeyMan methods by the procedure of loading (LoadWatchOnly),
// checking (HaveWatchOnly), getting (GetWatchPubKey) and removing (RemoveWatchOnly) a
-// given PubKey, resp. its corresponding P2PK Script. Results of the the impact on
+// given PubKey, resp. its corresponding P2PK Script. Results of the impact on
// the address -> PubKey map is dependent on whether the PubKey is a point on the curve
static void TestWatchOnlyPubKey(LegacyScriptPubKeyMan* spk_man, const CPubKey& add_pubkey)
{
@@ -485,21 +509,7 @@ public:
ListCoinsTestingSetup()
{
CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey()));
- wallet = MakeUnique<CWallet>(m_node.chain.get(), "", CreateMockWalletDatabase());
- {
- LOCK2(wallet->cs_wallet, ::cs_main);
- wallet->SetLastBlockProcessed(::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash());
- }
- bool firstRun;
- wallet->LoadWallet(firstRun);
- AddKey(*wallet, coinbaseKey);
- WalletRescanReserver reserver(*wallet);
- reserver.reserve();
- CWallet::ScanResult result = wallet->ScanForWalletTransactions(::ChainActive().Genesis()->GetBlockHash(), 0 /* start_height */, {} /* max_height */, reserver, false /* update */);
- BOOST_CHECK_EQUAL(result.status, CWallet::ScanResult::SUCCESS);
- BOOST_CHECK_EQUAL(result.last_scanned_block, ::ChainActive().Tip()->GetBlockHash());
- BOOST_CHECK_EQUAL(*result.last_scanned_height, ::ChainActive().Height());
- BOOST_CHECK(result.last_failed_block.IsNull());
+ wallet = CreateSyncedWallet(*m_node.chain, m_node.chainman->ActiveChain(), m_args, coinbaseKey);
}
~ListCoinsTestingSetup()
@@ -516,7 +526,7 @@ public:
CCoinControl dummy;
FeeCalculation fee_calc_out;
{
- BOOST_CHECK(wallet->CreateTransaction({recipient}, tx, fee, changePos, error, dummy, fee_calc_out));
+ BOOST_CHECK(CreateTransaction(*wallet, {recipient}, tx, fee, changePos, error, dummy, fee_calc_out));
}
wallet->CommitTransaction(tx, {}, {});
CMutableTransaction blocktx;
@@ -527,18 +537,17 @@ public:
CreateAndProcessBlock({CMutableTransaction(blocktx)}, GetScriptForRawPubKey(coinbaseKey.GetPubKey()));
LOCK(wallet->cs_wallet);
- wallet->SetLastBlockProcessed(wallet->GetLastBlockHeight() + 1, ::ChainActive().Tip()->GetBlockHash());
+ wallet->SetLastBlockProcessed(wallet->GetLastBlockHeight() + 1, m_node.chainman->ActiveChain().Tip()->GetBlockHash());
auto it = wallet->mapWallet.find(tx->GetHash());
BOOST_CHECK(it != wallet->mapWallet.end());
- CWalletTx::Confirmation confirm(CWalletTx::Status::CONFIRMED, ::ChainActive().Height(), ::ChainActive().Tip()->GetBlockHash(), 1);
- it->second.m_confirm = confirm;
+ it->second.m_state = TxStateConfirmed{m_node.chainman->ActiveChain().Tip()->GetBlockHash(), m_node.chainman->ActiveChain().Height(), /*position_in_block=*/1};
return it->second;
}
std::unique_ptr<CWallet> wallet;
};
-BOOST_FIXTURE_TEST_CASE(ListCoins, ListCoinsTestingSetup)
+BOOST_FIXTURE_TEST_CASE(ListCoinsTest, ListCoinsTestingSetup)
{
std::string coinbaseAddress = coinbaseKey.GetPubKey().GetID().ToString();
@@ -547,14 +556,14 @@ BOOST_FIXTURE_TEST_CASE(ListCoins, ListCoinsTestingSetup)
std::map<CTxDestination, std::vector<COutput>> list;
{
LOCK(wallet->cs_wallet);
- list = wallet->ListCoins();
+ list = ListCoins(*wallet);
}
BOOST_CHECK_EQUAL(list.size(), 1U);
BOOST_CHECK_EQUAL(std::get<PKHash>(list.begin()->first).ToString(), coinbaseAddress);
BOOST_CHECK_EQUAL(list.begin()->second.size(), 1U);
// Check initial balance from one mature coinbase transaction.
- BOOST_CHECK_EQUAL(50 * COIN, wallet->GetAvailableBalance());
+ BOOST_CHECK_EQUAL(50 * COIN, GetAvailableBalance(*wallet));
// Add a transaction creating a change address, and confirm ListCoins still
// returns the coin associated with the change address underneath the
@@ -563,7 +572,7 @@ BOOST_FIXTURE_TEST_CASE(ListCoins, ListCoinsTestingSetup)
AddTx(CRecipient{GetScriptForRawPubKey({}), 1 * COIN, false /* subtract fee */});
{
LOCK(wallet->cs_wallet);
- list = wallet->ListCoins();
+ list = ListCoins(*wallet);
}
BOOST_CHECK_EQUAL(list.size(), 1U);
BOOST_CHECK_EQUAL(std::get<PKHash>(list.begin()->first).ToString(), coinbaseAddress);
@@ -573,7 +582,7 @@ BOOST_FIXTURE_TEST_CASE(ListCoins, ListCoinsTestingSetup)
{
LOCK(wallet->cs_wallet);
std::vector<COutput> available;
- wallet->AvailableCoins(available);
+ AvailableCoins(*wallet, available);
BOOST_CHECK_EQUAL(available.size(), 2U);
}
for (const auto& group : list) {
@@ -585,14 +594,14 @@ BOOST_FIXTURE_TEST_CASE(ListCoins, ListCoinsTestingSetup)
{
LOCK(wallet->cs_wallet);
std::vector<COutput> available;
- wallet->AvailableCoins(available);
+ AvailableCoins(*wallet, available);
BOOST_CHECK_EQUAL(available.size(), 0U);
}
// Confirm ListCoins still returns same result as before, despite coins
// being locked.
{
LOCK(wallet->cs_wallet);
- list = wallet->ListCoins();
+ list = ListCoins(*wallet);
}
BOOST_CHECK_EQUAL(list.size(), 1U);
BOOST_CHECK_EQUAL(std::get<PKHash>(list.begin()->first).ToString(), coinbaseAddress);
@@ -601,14 +610,26 @@ BOOST_FIXTURE_TEST_CASE(ListCoins, ListCoinsTestingSetup)
BOOST_FIXTURE_TEST_CASE(wallet_disableprivkeys, TestChain100Setup)
{
- std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", CreateDummyWalletDatabase());
- wallet->SetupLegacyScriptPubKeyMan();
- wallet->SetMinVersion(FEATURE_LATEST);
- wallet->SetWalletFlag(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
- BOOST_CHECK(!wallet->TopUpKeyPool(1000));
- CTxDestination dest;
- std::string error;
- BOOST_CHECK(!wallet->GetNewDestination(OutputType::BECH32, "", dest, error));
+ {
+ const std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
+ wallet->SetupLegacyScriptPubKeyMan();
+ wallet->SetMinVersion(FEATURE_LATEST);
+ wallet->SetWalletFlag(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
+ BOOST_CHECK(!wallet->TopUpKeyPool(1000));
+ CTxDestination dest;
+ bilingual_str error;
+ BOOST_CHECK(!wallet->GetNewDestination(OutputType::BECH32, "", dest, error));
+ }
+ {
+ const std::shared_ptr<CWallet> wallet = std::make_shared<CWallet>(m_node.chain.get(), "", m_args, CreateDummyWalletDatabase());
+ LOCK(wallet->cs_wallet);
+ wallet->SetWalletFlag(WALLET_FLAG_DESCRIPTORS);
+ wallet->SetMinVersion(FEATURE_LATEST);
+ wallet->SetWalletFlag(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
+ CTxDestination dest;
+ bilingual_str error;
+ BOOST_CHECK(!wallet->GetNewDestination(OutputType::BECH32, "", dest, error));
+ }
}
// Explicit calculation which is used to test the wallet constant
@@ -670,7 +691,7 @@ BOOST_FIXTURE_TEST_CASE(wallet_descriptor_test, BasicTestingSetup)
vw << (int32_t)0;
vw << (int32_t)1;
- VectorReader vr(0, 0, malformed_record, 0);
+ SpanReader vr{0, 0, malformed_record};
WalletDescriptor w_desc;
BOOST_CHECK_EXCEPTION(vr >> w_desc, std::ios_base::failure, malformed_descriptor);
}
@@ -695,8 +716,12 @@ BOOST_FIXTURE_TEST_CASE(wallet_descriptor_test, BasicTestingSetup)
//! rescanning where new transactions in new blocks could be lost.
BOOST_FIXTURE_TEST_CASE(CreateWallet, TestChain100Setup)
{
+ gArgs.ForceSetArg("-unsafesqlitesync", "1");
// Create new wallet with known key and unload it.
- auto wallet = TestLoadWallet(*m_node.chain);
+ WalletContext context;
+ context.args = &gArgs;
+ context.chain = m_node.chain.get();
+ auto wallet = TestLoadWallet(context);
CKey key;
key.MakeNewKey(true);
AddKey(*wallet, key);
@@ -736,7 +761,7 @@ BOOST_FIXTURE_TEST_CASE(CreateWallet, TestChain100Setup)
// Reload wallet and make sure new transactions are detected despite events
// being blocked
- wallet = TestLoadWallet(*m_node.chain);
+ wallet = TestLoadWallet(context);
BOOST_CHECK(rescan_completed);
BOOST_CHECK_EQUAL(addtx_count, 2);
{
@@ -763,20 +788,16 @@ BOOST_FIXTURE_TEST_CASE(CreateWallet, TestChain100Setup)
// deadlock during the sync and simulates a new block notification happening
// as soon as possible.
addtx_count = 0;
- auto handler = HandleLoadWallet([&](std::unique_ptr<interfaces::Wallet> wallet) EXCLUSIVE_LOCKS_REQUIRED(wallet->wallet()->cs_wallet, cs_wallets) {
+ auto handler = HandleLoadWallet(context, [&](std::unique_ptr<interfaces::Wallet> wallet) {
BOOST_CHECK(rescan_completed);
m_coinbase_txns.push_back(CreateAndProcessBlock({}, GetScriptForRawPubKey(coinbaseKey.GetPubKey())).vtx[0]);
block_tx = TestSimpleSpend(*m_coinbase_txns[2], 0, coinbaseKey, GetScriptForRawPubKey(key.GetPubKey()));
m_coinbase_txns.push_back(CreateAndProcessBlock({block_tx}, GetScriptForRawPubKey(coinbaseKey.GetPubKey())).vtx[0]);
mempool_tx = TestSimpleSpend(*m_coinbase_txns[3], 0, coinbaseKey, GetScriptForRawPubKey(key.GetPubKey()));
BOOST_CHECK(m_node.chain->broadcastTransaction(MakeTransactionRef(mempool_tx), DEFAULT_TRANSACTION_MAXFEE, false, error));
- LEAVE_CRITICAL_SECTION(cs_wallets);
- LEAVE_CRITICAL_SECTION(wallet->wallet()->cs_wallet);
SyncWithValidationInterfaceQueue();
- ENTER_CRITICAL_SECTION(wallet->wallet()->cs_wallet);
- ENTER_CRITICAL_SECTION(cs_wallets);
});
- wallet = TestLoadWallet(*m_node.chain);
+ wallet = TestLoadWallet(context);
BOOST_CHECK_EQUAL(addtx_count, 4);
{
LOCK(wallet->cs_wallet);
@@ -788,9 +809,22 @@ BOOST_FIXTURE_TEST_CASE(CreateWallet, TestChain100Setup)
TestUnloadWallet(std::move(wallet));
}
+BOOST_FIXTURE_TEST_CASE(CreateWalletWithoutChain, BasicTestingSetup)
+{
+ WalletContext context;
+ context.args = &gArgs;
+ auto wallet = TestLoadWallet(context);
+ BOOST_CHECK(wallet);
+ UnloadWallet(std::move(wallet));
+}
+
BOOST_FIXTURE_TEST_CASE(ZapSelectTx, TestChain100Setup)
{
- auto wallet = TestLoadWallet(*m_node.chain);
+ gArgs.ForceSetArg("-unsafesqlitesync", "1");
+ WalletContext context;
+ context.args = &gArgs;
+ context.chain = m_node.chain.get();
+ auto wallet = TestLoadWallet(context);
CKey key;
key.MakeNewKey(true);
AddKey(*wallet, key);
@@ -821,3 +855,4 @@ BOOST_FIXTURE_TEST_CASE(ZapSelectTx, TestChain100Setup)
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/wallet_transaction_tests.cpp b/src/wallet/test/wallet_transaction_tests.cpp
new file mode 100644
index 0000000000..9f56248614
--- /dev/null
+++ b/src/wallet/test/wallet_transaction_tests.cpp
@@ -0,0 +1,26 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <wallet/transaction.h>
+
+#include <wallet/test/wallet_test_fixture.h>
+
+#include <boost/test/unit_test.hpp>
+
+namespace wallet {
+BOOST_FIXTURE_TEST_SUITE(wallet_transaction_tests, WalletTestingSetup)
+
+BOOST_AUTO_TEST_CASE(roundtrip)
+{
+ for (uint8_t hash = 0; hash < 5; ++hash) {
+ for (int index = -2; index < 3; ++index) {
+ TxState state = TxStateInterpretSerialized(TxStateUnrecognized{uint256{hash}, index});
+ BOOST_CHECK_EQUAL(TxStateSerializedBlockHash(state), uint256{hash});
+ BOOST_CHECK_EQUAL(TxStateSerializedIndex(state), index);
+ }
+ }
+}
+
+BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/test/walletdb_tests.cpp b/src/wallet/test/walletdb_tests.cpp
index 558121ae42..e251a3a0e4 100644
--- a/src/wallet/test/walletdb_tests.cpp
+++ b/src/wallet/test/walletdb_tests.cpp
@@ -9,6 +9,7 @@
#include <boost/test/unit_test.hpp>
+namespace wallet {
BOOST_FIXTURE_TEST_SUITE(walletdb_tests, BasicTestingSetup)
BOOST_AUTO_TEST_CASE(walletdb_readkeyvalue)
@@ -27,3 +28,4 @@ BOOST_AUTO_TEST_CASE(walletdb_readkeyvalue)
}
BOOST_AUTO_TEST_SUITE_END()
+} // namespace wallet
diff --git a/src/wallet/transaction.cpp b/src/wallet/transaction.cpp
new file mode 100644
index 0000000000..a46846c1d4
--- /dev/null
+++ b/src/wallet/transaction.cpp
@@ -0,0 +1,27 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#include <wallet/transaction.h>
+
+namespace wallet {
+bool CWalletTx::IsEquivalentTo(const CWalletTx& _tx) const
+{
+ CMutableTransaction tx1 {*this->tx};
+ CMutableTransaction tx2 {*_tx.tx};
+ for (auto& txin : tx1.vin) txin.scriptSig = CScript();
+ for (auto& txin : tx2.vin) txin.scriptSig = CScript();
+ return CTransaction(tx1) == CTransaction(tx2);
+}
+
+bool CWalletTx::InMempool() const
+{
+ return state<TxStateInMempool>();
+}
+
+int64_t CWalletTx::GetTxTime() const
+{
+ int64_t n = nTimeSmart;
+ return n ? n : nTimeReceived;
+}
+} // namespace wallet
diff --git a/src/wallet/transaction.h b/src/wallet/transaction.h
new file mode 100644
index 0000000000..00f9c9f154
--- /dev/null
+++ b/src/wallet/transaction.h
@@ -0,0 +1,309 @@
+// Copyright (c) 2021 The Bitcoin Core developers
+// Distributed under the MIT software license, see the accompanying
+// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+#ifndef BITCOIN_WALLET_TRANSACTION_H
+#define BITCOIN_WALLET_TRANSACTION_H
+
+#include <consensus/amount.h>
+#include <primitives/transaction.h>
+#include <serialize.h>
+#include <wallet/ismine.h>
+#include <threadsafety.h>
+#include <tinyformat.h>
+#include <util/overloaded.h>
+#include <util/strencodings.h>
+#include <util/string.h>
+
+#include <list>
+#include <variant>
+#include <vector>
+
+namespace wallet {
+//! State of transaction confirmed in a block.
+struct TxStateConfirmed {
+ uint256 confirmed_block_hash;
+ int confirmed_block_height;
+ int position_in_block;
+
+ explicit TxStateConfirmed(const uint256& block_hash, int height, int index) : confirmed_block_hash(block_hash), confirmed_block_height(height), position_in_block(index) {}
+};
+
+//! State of transaction added to mempool.
+struct TxStateInMempool {
+};
+
+//! State of rejected transaction that conflicts with a confirmed block.
+struct TxStateConflicted {
+ uint256 conflicting_block_hash;
+ int conflicting_block_height;
+
+ explicit TxStateConflicted(const uint256& block_hash, int height) : conflicting_block_hash(block_hash), conflicting_block_height(height) {}
+};
+
+//! State of transaction not confirmed or conflicting with a known block and
+//! not in the mempool. May conflict with the mempool, or with an unknown block,
+//! or be abandoned, never broadcast, or rejected from the mempool for another
+//! reason.
+struct TxStateInactive {
+ bool abandoned;
+
+ explicit TxStateInactive(bool abandoned = false) : abandoned(abandoned) {}
+};
+
+//! State of transaction loaded in an unrecognized state with unexpected hash or
+//! index values. Treated as inactive (with serialized hash and index values
+//! preserved) by default, but may enter another state if transaction is added
+//! to the mempool, or confirmed, or abandoned, or found conflicting.
+struct TxStateUnrecognized {
+ uint256 block_hash;
+ int index;
+
+ TxStateUnrecognized(const uint256& block_hash, int index) : block_hash(block_hash), index(index) {}
+};
+
+//! All possible CWalletTx states
+using TxState = std::variant<TxStateConfirmed, TxStateInMempool, TxStateConflicted, TxStateInactive, TxStateUnrecognized>;
+
+//! Subset of states transaction sync logic is implemented to handle.
+using SyncTxState = std::variant<TxStateConfirmed, TxStateInMempool, TxStateInactive>;
+
+//! Try to interpret deserialized TxStateUnrecognized data as a recognized state.
+static inline TxState TxStateInterpretSerialized(TxStateUnrecognized data)
+{
+ if (data.block_hash == uint256::ZERO) {
+ if (data.index == 0) return TxStateInactive{};
+ } else if (data.block_hash == uint256::ONE) {
+ if (data.index == -1) return TxStateInactive{/*abandoned=*/true};
+ } else if (data.index >= 0) {
+ return TxStateConfirmed{data.block_hash, /*height=*/-1, data.index};
+ } else if (data.index == -1) {
+ return TxStateConflicted{data.block_hash, /*height=*/-1};
+ }
+ return data;
+}
+
+//! Get TxState serialized block hash. Inverse of TxStateInterpretSerialized.
+static inline uint256 TxStateSerializedBlockHash(const TxState& state)
+{
+ return std::visit(util::Overloaded{
+ [](const TxStateInactive& inactive) { return inactive.abandoned ? uint256::ONE : uint256::ZERO; },
+ [](const TxStateInMempool& in_mempool) { return uint256::ZERO; },
+ [](const TxStateConfirmed& confirmed) { return confirmed.confirmed_block_hash; },
+ [](const TxStateConflicted& conflicted) { return conflicted.conflicting_block_hash; },
+ [](const TxStateUnrecognized& unrecognized) { return unrecognized.block_hash; }
+ }, state);
+}
+
+//! Get TxState serialized block index. Inverse of TxStateInterpretSerialized.
+static inline int TxStateSerializedIndex(const TxState& state)
+{
+ return std::visit(util::Overloaded{
+ [](const TxStateInactive& inactive) { return inactive.abandoned ? -1 : 0; },
+ [](const TxStateInMempool& in_mempool) { return 0; },
+ [](const TxStateConfirmed& confirmed) { return confirmed.position_in_block; },
+ [](const TxStateConflicted& conflicted) { return -1; },
+ [](const TxStateUnrecognized& unrecognized) { return unrecognized.index; }
+ }, state);
+}
+
+
+typedef std::map<std::string, std::string> mapValue_t;
+
+/** Legacy class used for deserializing vtxPrev for backwards compatibility.
+ * vtxPrev was removed in commit 93a18a3650292afbb441a47d1fa1b94aeb0164e3,
+ * but old wallet.dat files may still contain vtxPrev vectors of CMerkleTxs.
+ * These need to get deserialized for field alignment when deserializing
+ * a CWalletTx, but the deserialized values are discarded.**/
+class CMerkleTx
+{
+public:
+ template<typename Stream>
+ void Unserialize(Stream& s)
+ {
+ CTransactionRef tx;
+ uint256 hashBlock;
+ std::vector<uint256> vMerkleBranch;
+ int nIndex;
+
+ s >> tx >> hashBlock >> vMerkleBranch >> nIndex;
+ }
+};
+
+/**
+ * A transaction with a bunch of additional info that only the owner cares about.
+ * It includes any unrecorded transactions needed to link it back to the block chain.
+ */
+class CWalletTx
+{
+public:
+ /**
+ * Key/value map with information about the transaction.
+ *
+ * The following keys can be read and written through the map and are
+ * serialized in the wallet database:
+ *
+ * "comment", "to" - comment strings provided to sendtoaddress,
+ * and sendmany wallet RPCs
+ * "replaces_txid" - txid (as HexStr) of transaction replaced by
+ * bumpfee on transaction created by bumpfee
+ * "replaced_by_txid" - txid (as HexStr) of transaction created by
+ * bumpfee on transaction replaced by bumpfee
+ * "from", "message" - obsolete fields that could be set in UI prior to
+ * 2011 (removed in commit 4d9b223)
+ *
+ * The following keys are serialized in the wallet database, but shouldn't
+ * be read or written through the map (they will be temporarily added and
+ * removed from the map during serialization):
+ *
+ * "fromaccount" - serialized strFromAccount value
+ * "n" - serialized nOrderPos value
+ * "timesmart" - serialized nTimeSmart value
+ * "spent" - serialized vfSpent value that existed prior to
+ * 2014 (removed in commit 93a18a3)
+ */
+ mapValue_t mapValue;
+ std::vector<std::pair<std::string, std::string> > vOrderForm;
+ unsigned int fTimeReceivedIsTxTime;
+ unsigned int nTimeReceived; //!< time received by this node
+ /**
+ * Stable timestamp that never changes, and reflects the order a transaction
+ * was added to the wallet. Timestamp is based on the block time for a
+ * transaction added as part of a block, or else the time when the
+ * transaction was received if it wasn't part of a block, with the timestamp
+ * adjusted in both cases so timestamp order matches the order transactions
+ * were added to the wallet. More details can be found in
+ * CWallet::ComputeTimeSmart().
+ */
+ unsigned int nTimeSmart;
+ /**
+ * From me flag is set to 1 for transactions that were created by the wallet
+ * on this bitcoin node, and set to 0 for transactions that were created
+ * externally and came in through the network or sendrawtransaction RPC.
+ */
+ bool fFromMe;
+ int64_t nOrderPos; //!< position in ordered transaction list
+ std::multimap<int64_t, CWalletTx*>::const_iterator m_it_wtxOrdered;
+
+ // memory only
+ enum AmountType { DEBIT, CREDIT, IMMATURE_CREDIT, AVAILABLE_CREDIT, AMOUNTTYPE_ENUM_ELEMENTS };
+ mutable CachableAmount m_amounts[AMOUNTTYPE_ENUM_ELEMENTS];
+ /**
+ * This flag is true if all m_amounts caches are empty. This is particularly
+ * useful in places where MarkDirty is conditionally called and the
+ * condition can be expensive and thus can be skipped if the flag is true.
+ * See MarkDestinationsDirty.
+ */
+ mutable bool m_is_cache_empty{true};
+ mutable bool fChangeCached;
+ mutable CAmount nChangeCached;
+
+ CWalletTx(CTransactionRef tx, const TxState& state) : tx(std::move(tx)), m_state(state)
+ {
+ Init();
+ }
+
+ void Init()
+ {
+ mapValue.clear();
+ vOrderForm.clear();
+ fTimeReceivedIsTxTime = false;
+ nTimeReceived = 0;
+ nTimeSmart = 0;
+ fFromMe = false;
+ fChangeCached = false;
+ nChangeCached = 0;
+ nOrderPos = -1;
+ }
+
+ CTransactionRef tx;
+ TxState m_state;
+
+ template<typename Stream>
+ void Serialize(Stream& s) const
+ {
+ mapValue_t mapValueCopy = mapValue;
+
+ mapValueCopy["fromaccount"] = "";
+ if (nOrderPos != -1) {
+ mapValueCopy["n"] = ToString(nOrderPos);
+ }
+ if (nTimeSmart) {
+ mapValueCopy["timesmart"] = strprintf("%u", nTimeSmart);
+ }
+
+ std::vector<uint8_t> dummy_vector1; //!< Used to be vMerkleBranch
+ std::vector<uint8_t> dummy_vector2; //!< Used to be vtxPrev
+ bool dummy_bool = false; //!< Used to be fSpent
+ uint256 serializedHash = TxStateSerializedBlockHash(m_state);
+ int serializedIndex = TxStateSerializedIndex(m_state);
+ s << tx << serializedHash << dummy_vector1 << serializedIndex << dummy_vector2 << mapValueCopy << vOrderForm << fTimeReceivedIsTxTime << nTimeReceived << fFromMe << dummy_bool;
+ }
+
+ template<typename Stream>
+ void Unserialize(Stream& s)
+ {
+ Init();
+
+ std::vector<uint256> dummy_vector1; //!< Used to be vMerkleBranch
+ std::vector<CMerkleTx> dummy_vector2; //!< Used to be vtxPrev
+ bool dummy_bool; //! Used to be fSpent
+ uint256 serialized_block_hash;
+ int serializedIndex;
+ s >> tx >> serialized_block_hash >> dummy_vector1 >> serializedIndex >> dummy_vector2 >> mapValue >> vOrderForm >> fTimeReceivedIsTxTime >> nTimeReceived >> fFromMe >> dummy_bool;
+
+ m_state = TxStateInterpretSerialized({serialized_block_hash, serializedIndex});
+
+ const auto it_op = mapValue.find("n");
+ nOrderPos = (it_op != mapValue.end()) ? LocaleIndependentAtoi<int64_t>(it_op->second) : -1;
+ const auto it_ts = mapValue.find("timesmart");
+ nTimeSmart = (it_ts != mapValue.end()) ? static_cast<unsigned int>(LocaleIndependentAtoi<int64_t>(it_ts->second)) : 0;
+
+ mapValue.erase("fromaccount");
+ mapValue.erase("spent");
+ mapValue.erase("n");
+ mapValue.erase("timesmart");
+ }
+
+ void SetTx(CTransactionRef arg)
+ {
+ tx = std::move(arg);
+ }
+
+ //! make sure balances are recalculated
+ void MarkDirty()
+ {
+ m_amounts[DEBIT].Reset();
+ m_amounts[CREDIT].Reset();
+ m_amounts[IMMATURE_CREDIT].Reset();
+ m_amounts[AVAILABLE_CREDIT].Reset();
+ fChangeCached = false;
+ m_is_cache_empty = true;
+ }
+
+ /** True if only scriptSigs are different */
+ bool IsEquivalentTo(const CWalletTx& tx) const;
+
+ bool InMempool() const;
+
+ int64_t GetTxTime() const;
+
+ template<typename T> const T* state() const { return std::get_if<T>(&m_state); }
+ template<typename T> T* state() { return std::get_if<T>(&m_state); }
+
+ bool isAbandoned() const { return state<TxStateInactive>() && state<TxStateInactive>()->abandoned; }
+ bool isConflicted() const { return state<TxStateConflicted>(); }
+ bool isUnconfirmed() const { return !isAbandoned() && !isConflicted() && !isConfirmed(); }
+ bool isConfirmed() const { return state<TxStateConfirmed>(); }
+ const uint256& GetHash() const { return tx->GetHash(); }
+ bool IsCoinBase() const { return tx->IsCoinBase(); }
+
+ // Disable copying of CWalletTx objects to prevent bugs where instances get
+ // copied in and out of the mapWallet map, and fields are updated in the
+ // wrong copy.
+ CWalletTx(CWalletTx const &) = delete;
+ void operator=(CWalletTx const &x) = delete;
+};
+} // namespace wallet
+
+#endif // BITCOIN_WALLET_TRANSACTION_H
diff --git a/src/wallet/wallet.cpp b/src/wallet/wallet.cpp
index 08e480225d..7e694d1987 100644
--- a/src/wallet/wallet.cpp
+++ b/src/wallet/wallet.cpp
@@ -1,19 +1,20 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <wallet/wallet.h>
#include <chain.h>
+#include <consensus/amount.h>
#include <consensus/consensus.h>
#include <consensus/validation.h>
+#include <external_signer.h>
#include <fs.h>
#include <interfaces/chain.h>
#include <interfaces/wallet.h>
#include <key.h>
#include <key_io.h>
-#include <optional.h>
#include <outputtype.h>
#include <policy/fees.h>
#include <policy/policy.h>
@@ -33,6 +34,7 @@
#include <util/string.h>
#include <util/translation.h>
#include <wallet/coincontrol.h>
+#include <wallet/context.h>
#include <wallet/fees.h>
#include <wallet/external_signer_scriptpubkeyman.h>
@@ -40,11 +42,13 @@
#include <algorithm>
#include <assert.h>
+#include <optional>
#include <boost/algorithm/string/replace.hpp>
using interfaces::FoundBlock;
+namespace wallet {
const std::map<uint64_t,std::string> WALLET_FLAG_CAVEATS{
{WALLET_FLAG_AVOID_REUSE,
"You need to rescan the blockchain in order to correctly mark used "
@@ -53,12 +57,6 @@ const std::map<uint64_t,std::string> WALLET_FLAG_CAVEATS{
},
};
-static const size_t OUTPUT_GROUP_MAX_ENTRIES = 10;
-
-RecursiveMutex cs_wallets;
-static std::vector<std::shared_ptr<CWallet>> vpwallets GUARDED_BY(cs_wallets);
-static std::list<LoadWalletFn> g_load_wallet_fns GUARDED_BY(cs_wallets);
-
bool AddWalletSetting(interfaces::Chain& chain, const std::string& wallet_name)
{
util::SettingsValue setting_value = chain.getRwSetting("wallet");
@@ -84,10 +82,10 @@ bool RemoveWalletSetting(interfaces::Chain& chain, const std::string& wallet_nam
static void UpdateWalletSetting(interfaces::Chain& chain,
const std::string& wallet_name,
- Optional<bool> load_on_startup,
+ std::optional<bool> load_on_startup,
std::vector<bilingual_str>& warnings)
{
- if (load_on_startup == nullopt) return;
+ if (!load_on_startup) return;
if (load_on_startup.value() && !AddWalletSetting(chain, wallet_name)) {
warnings.emplace_back(Untranslated("Wallet load on startup setting could not be updated, so wallet may not be loaded next node startup."));
} else if (!load_on_startup.value() && !RemoveWalletSetting(chain, wallet_name)) {
@@ -95,19 +93,33 @@ static void UpdateWalletSetting(interfaces::Chain& chain,
}
}
-bool AddWallet(const std::shared_ptr<CWallet>& wallet)
+/**
+ * Refresh mempool status so the wallet is in an internally consistent state and
+ * immediately knows the transaction's status: Whether it can be considered
+ * trusted and is eligible to be abandoned ...
+ */
+static void RefreshMempoolStatus(CWalletTx& tx, interfaces::Chain& chain)
{
- LOCK(cs_wallets);
+ if (chain.isInMempool(tx.GetHash())) {
+ tx.m_state = TxStateInMempool();
+ } else if (tx.state<TxStateInMempool>()) {
+ tx.m_state = TxStateInactive();
+ }
+}
+
+bool AddWallet(WalletContext& context, const std::shared_ptr<CWallet>& wallet)
+{
+ LOCK(context.wallets_mutex);
assert(wallet);
- std::vector<std::shared_ptr<CWallet>>::const_iterator i = std::find(vpwallets.begin(), vpwallets.end(), wallet);
- if (i != vpwallets.end()) return false;
- vpwallets.push_back(wallet);
+ std::vector<std::shared_ptr<CWallet>>::const_iterator i = std::find(context.wallets.begin(), context.wallets.end(), wallet);
+ if (i != context.wallets.end()) return false;
+ context.wallets.push_back(wallet);
wallet->ConnectScriptPubKeyManNotifiers();
wallet->NotifyCanGetAddressesChanged();
return true;
}
-bool RemoveWallet(const std::shared_ptr<CWallet>& wallet, Optional<bool> load_on_start, std::vector<bilingual_str>& warnings)
+bool RemoveWallet(WalletContext& context, const std::shared_ptr<CWallet>& wallet, std::optional<bool> load_on_start, std::vector<bilingual_str>& warnings)
{
assert(wallet);
@@ -116,10 +128,10 @@ bool RemoveWallet(const std::shared_ptr<CWallet>& wallet, Optional<bool> load_on
// Unregister with the validation interface which also drops shared ponters.
wallet->m_chain_notifications_handler.reset();
- LOCK(cs_wallets);
- std::vector<std::shared_ptr<CWallet>>::iterator i = std::find(vpwallets.begin(), vpwallets.end(), wallet);
- if (i == vpwallets.end()) return false;
- vpwallets.erase(i);
+ LOCK(context.wallets_mutex);
+ std::vector<std::shared_ptr<CWallet>>::iterator i = std::find(context.wallets.begin(), context.wallets.end(), wallet);
+ if (i == context.wallets.end()) return false;
+ context.wallets.erase(i);
// Write the wallet setting
UpdateWalletSetting(chain, name, load_on_start, warnings);
@@ -127,32 +139,32 @@ bool RemoveWallet(const std::shared_ptr<CWallet>& wallet, Optional<bool> load_on
return true;
}
-bool RemoveWallet(const std::shared_ptr<CWallet>& wallet, Optional<bool> load_on_start)
+bool RemoveWallet(WalletContext& context, const std::shared_ptr<CWallet>& wallet, std::optional<bool> load_on_start)
{
std::vector<bilingual_str> warnings;
- return RemoveWallet(wallet, load_on_start, warnings);
+ return RemoveWallet(context, wallet, load_on_start, warnings);
}
-std::vector<std::shared_ptr<CWallet>> GetWallets()
+std::vector<std::shared_ptr<CWallet>> GetWallets(WalletContext& context)
{
- LOCK(cs_wallets);
- return vpwallets;
+ LOCK(context.wallets_mutex);
+ return context.wallets;
}
-std::shared_ptr<CWallet> GetWallet(const std::string& name)
+std::shared_ptr<CWallet> GetWallet(WalletContext& context, const std::string& name)
{
- LOCK(cs_wallets);
- for (const std::shared_ptr<CWallet>& wallet : vpwallets) {
+ LOCK(context.wallets_mutex);
+ for (const std::shared_ptr<CWallet>& wallet : context.wallets) {
if (wallet->GetName() == name) return wallet;
}
return nullptr;
}
-std::unique_ptr<interfaces::Handler> HandleLoadWallet(LoadWalletFn load_wallet)
+std::unique_ptr<interfaces::Handler> HandleLoadWallet(WalletContext& context, LoadWalletFn load_wallet)
{
- LOCK(cs_wallets);
- auto it = g_load_wallet_fns.emplace(g_load_wallet_fns.end(), std::move(load_wallet));
- return interfaces::MakeHandler([it] { LOCK(cs_wallets); g_load_wallet_fns.erase(it); });
+ LOCK(context.wallets_mutex);
+ auto it = context.wallet_load_fns.emplace(context.wallet_load_fns.end(), std::move(load_wallet));
+ return interfaces::MakeHandler([&context, it] { LOCK(context.wallets_mutex); context.wallet_load_fns.erase(it); });
}
static Mutex g_loading_wallet_mutex;
@@ -204,7 +216,7 @@ void UnloadWallet(std::shared_ptr<CWallet>&& wallet)
}
namespace {
-std::shared_ptr<CWallet> LoadWalletInternal(interfaces::Chain& chain, const std::string& name, Optional<bool> load_on_start, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings)
+std::shared_ptr<CWallet> LoadWalletInternal(WalletContext& context, const std::string& name, std::optional<bool> load_on_start, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings)
{
try {
std::unique_ptr<WalletDatabase> database = MakeWalletDatabase(name, options, status, error);
@@ -213,17 +225,18 @@ std::shared_ptr<CWallet> LoadWalletInternal(interfaces::Chain& chain, const std:
return nullptr;
}
- std::shared_ptr<CWallet> wallet = CWallet::Create(chain, name, std::move(database), options.create_flags, error, warnings);
+ context.chain->initMessage(_("Loading wallet…").translated);
+ const std::shared_ptr<CWallet> wallet = CWallet::Create(context, name, std::move(database), options.create_flags, error, warnings);
if (!wallet) {
error = Untranslated("Wallet loading failed.") + Untranslated(" ") + error;
status = DatabaseStatus::FAILED_LOAD;
return nullptr;
}
- AddWallet(wallet);
+ AddWallet(context, wallet);
wallet->postInitProcess();
// Write the wallet setting
- UpdateWalletSetting(chain, name, load_on_start, warnings);
+ UpdateWalletSetting(*context.chain, name, load_on_start, warnings);
return wallet;
} catch (const std::runtime_error& e) {
@@ -234,20 +247,20 @@ std::shared_ptr<CWallet> LoadWalletInternal(interfaces::Chain& chain, const std:
}
} // namespace
-std::shared_ptr<CWallet> LoadWallet(interfaces::Chain& chain, const std::string& name, Optional<bool> load_on_start, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings)
+std::shared_ptr<CWallet> LoadWallet(WalletContext& context, const std::string& name, std::optional<bool> load_on_start, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings)
{
auto result = WITH_LOCK(g_loading_wallet_mutex, return g_loading_wallet_set.insert(name));
if (!result.second) {
- error = Untranslated("Wallet already being loading.");
+ error = Untranslated("Wallet already loading.");
status = DatabaseStatus::FAILED_LOAD;
return nullptr;
}
- auto wallet = LoadWalletInternal(chain, name, load_on_start, options, status, error, warnings);
+ auto wallet = LoadWalletInternal(context, name, load_on_start, options, status, error, warnings);
WITH_LOCK(g_loading_wallet_mutex, g_loading_wallet_set.erase(result.first));
return wallet;
}
-std::shared_ptr<CWallet> CreateWallet(interfaces::Chain& chain, const std::string& name, Optional<bool> load_on_start, DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings)
+std::shared_ptr<CWallet> CreateWallet(WalletContext& context, const std::string& name, std::optional<bool> load_on_start, DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings)
{
uint64_t wallet_creation_flags = options.create_flags;
const SecureString& passphrase = options.create_passphrase;
@@ -292,7 +305,8 @@ std::shared_ptr<CWallet> CreateWallet(interfaces::Chain& chain, const std::strin
}
// Make the wallet
- std::shared_ptr<CWallet> wallet = CWallet::Create(chain, name, std::move(database), wallet_creation_flags, error, warnings);
+ context.chain->initMessage(_("Loading wallet…").translated);
+ const std::shared_ptr<CWallet> wallet = CWallet::Create(context, name, std::move(database), wallet_creation_flags, error, warnings);
if (!wallet) {
error = Untranslated("Wallet creation failed.") + Untranslated(" ") + error;
status = DatabaseStatus::FAILED_CREATE;
@@ -334,26 +348,53 @@ std::shared_ptr<CWallet> CreateWallet(interfaces::Chain& chain, const std::strin
wallet->Lock();
}
}
- AddWallet(wallet);
+ AddWallet(context, wallet);
wallet->postInitProcess();
// Write the wallet settings
- UpdateWalletSetting(chain, name, load_on_start, warnings);
+ UpdateWalletSetting(*context.chain, name, load_on_start, warnings);
status = DatabaseStatus::SUCCESS;
return wallet;
}
+std::shared_ptr<CWallet> RestoreWallet(WalletContext& context, const fs::path& backup_file, const std::string& wallet_name, std::optional<bool> load_on_start, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings)
+{
+ DatabaseOptions options;
+ options.require_existing = true;
+
+ if (!fs::exists(backup_file)) {
+ error = Untranslated("Backup file does not exist");
+ status = DatabaseStatus::FAILED_INVALID_BACKUP_FILE;
+ return nullptr;
+ }
+
+ const fs::path wallet_path = fsbridge::AbsPathJoin(GetWalletDir(), fs::u8path(wallet_name));
+
+ if (fs::exists(wallet_path) || !TryCreateDirectories(wallet_path)) {
+ error = Untranslated(strprintf("Failed to create database path '%s'. Database already exists.", fs::PathToString(wallet_path)));
+ status = DatabaseStatus::FAILED_ALREADY_EXISTS;
+ return nullptr;
+ }
+
+ auto wallet_file = wallet_path / "wallet.dat";
+ fs::copy_file(backup_file, wallet_file, fs::copy_options::none);
+
+ auto wallet = LoadWallet(context, wallet_name, load_on_start, options, status, error, warnings);
+
+ if (!wallet) {
+ fs::remove(wallet_file);
+ fs::remove(wallet_path);
+ }
+
+ return wallet;
+}
+
/** @defgroup mapWallet
*
* @{
*/
-std::string COutput::ToString() const
-{
- return strprintf("COutput(%s, %d, %d) [%s]", tx->GetHash().ToString(), i, nDepth, FormatMoney(tx->tx->vout[i].nValue));
-}
-
const CWalletTx* CWallet::GetWalletTx(const uint256& hash) const
{
AssertLockHeld(cs_wallet);
@@ -378,6 +419,19 @@ void CWallet::UpgradeKeyMetadata()
SetWalletFlag(WALLET_FLAG_KEY_ORIGIN_METADATA);
}
+void CWallet::UpgradeDescriptorCache()
+{
+ if (!IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS) || IsLocked() || IsWalletFlagSet(WALLET_FLAG_LAST_HARDENED_XPUB_CACHED)) {
+ return;
+ }
+
+ for (ScriptPubKeyMan* spkm : GetAllScriptPubKeyMans()) {
+ DescriptorScriptPubKeyMan* desc_spkm = dynamic_cast<DescriptorScriptPubKeyMan*>(spkm);
+ desc_spkm->UpgradeDescriptorCache();
+ }
+ SetWalletFlag(WALLET_FLAG_LAST_HARDENED_XPUB_CACHED);
+}
+
bool CWallet::Unlock(const SecureString& strWalletPassphrase, bool accept_no_keys)
{
CCrypter crypter;
@@ -394,6 +448,8 @@ bool CWallet::Unlock(const SecureString& strWalletPassphrase, bool accept_no_key
if (Unlock(_vMasterKey, accept_no_keys)) {
// Now that we've unlocked, upgrade the key metadata
UpgradeKeyMetadata();
+ // Now that we've unlocked, upgrade the descriptor cache
+ UpgradeDescriptorCache();
return true;
}
}
@@ -563,7 +619,7 @@ bool CWallet::IsSpent(const uint256& hash, unsigned int n) const
const uint256& wtxid = it->second;
std::map<uint256, CWalletTx>::const_iterator mit = mapWallet.find(wtxid);
if (mit != mapWallet.end()) {
- int depth = mit->second.GetDepthInMainChain();
+ int depth = GetTxDepthInMainChain(mit->second);
if (depth > 0 || (depth == 0 && !mit->second.isAbandoned()))
return true; // Spent
}
@@ -571,11 +627,16 @@ bool CWallet::IsSpent(const uint256& hash, unsigned int n) const
return false;
}
-void CWallet::AddToSpends(const COutPoint& outpoint, const uint256& wtxid)
+void CWallet::AddToSpends(const COutPoint& outpoint, const uint256& wtxid, WalletBatch* batch)
{
mapTxSpends.insert(std::make_pair(outpoint, wtxid));
- setLockedCoins.erase(outpoint);
+ if (batch) {
+ UnlockCoin(outpoint, batch);
+ } else {
+ WalletBatch temp_batch(GetDatabase());
+ UnlockCoin(outpoint, &temp_batch);
+ }
std::pair<TxSpends::iterator, TxSpends::iterator> range;
range = mapTxSpends.equal_range(outpoint);
@@ -583,7 +644,7 @@ void CWallet::AddToSpends(const COutPoint& outpoint, const uint256& wtxid)
}
-void CWallet::AddToSpends(const uint256& wtxid)
+void CWallet::AddToSpends(const uint256& wtxid, WalletBatch* batch)
{
auto it = mapWallet.find(wtxid);
assert(it != mapWallet.end());
@@ -592,7 +653,7 @@ void CWallet::AddToSpends(const uint256& wtxid)
return;
for (const CTxIn& txin : thisTx.tx->vin)
- AddToSpends(txin.prevout, wtxid);
+ AddToSpends(txin.prevout, wtxid, batch);
}
bool CWallet::EncryptWallet(const SecureString& strWalletPassphrase)
@@ -603,12 +664,12 @@ bool CWallet::EncryptWallet(const SecureString& strWalletPassphrase)
CKeyingMaterial _vMasterKey;
_vMasterKey.resize(WALLET_CRYPTO_KEY_SIZE);
- GetStrongRandBytes(&_vMasterKey[0], WALLET_CRYPTO_KEY_SIZE);
+ GetStrongRandBytes(_vMasterKey.data(), WALLET_CRYPTO_KEY_SIZE);
CMasterKey kMasterKey;
kMasterKey.vchSalt.resize(WALLET_CRYPTO_SALT_SIZE);
- GetStrongRandBytes(&kMasterKey.vchSalt[0], WALLET_CRYPTO_SALT_SIZE);
+ GetStrongRandBytes(kMasterKey.vchSalt.data(), WALLET_CRYPTO_SALT_SIZE);
CCrypter crypter;
int64_t nStartTime = GetTimeMillis();
@@ -791,6 +852,9 @@ bool CWallet::MarkReplaced(const uint256& originalHash, const uint256& newHash)
wtx.mapValue["replaced_by_txid"] = newHash.ToString();
+ // Refresh mempool status without waiting for transactionRemovedFromMempool
+ RefreshMempoolStatus(wtx, chain());
+
WalletBatch batch(GetDatabase());
bool success = true;
@@ -799,7 +863,7 @@ bool CWallet::MarkReplaced(const uint256& originalHash, const uint256& newHash)
success = false;
}
- NotifyTransactionChanged(this, originalHash, CT_UPDATED);
+ NotifyTransactionChanged(originalHash, CT_UPDATED);
return success;
}
@@ -813,12 +877,11 @@ void CWallet::SetSpentKeyState(WalletBatch& batch, const uint256& hash, unsigned
CTxDestination dst;
if (ExtractDestination(srctx->tx->vout[n].scriptPubKey, dst)) {
if (IsMine(dst)) {
- if (used && !GetDestData(dst, "used", nullptr)) {
- if (AddDestData(batch, dst, "used", "p")) { // p for "present", opposite of absent (null)
+ if (used != IsAddressUsed(dst)) {
+ if (used) {
tx_destinations.insert(dst);
}
- } else if (!used && GetDestData(dst, "used", nullptr)) {
- EraseDestData(batch, dst, "used");
+ SetAddressUsed(batch, dst, used);
}
}
}
@@ -834,7 +897,7 @@ bool CWallet::IsSpentKey(const uint256& hash, unsigned int n) const
if (!ExtractDestination(srctx->tx->vout[n].scriptPubKey, dest)) {
return false;
}
- if (GetDestData(dest, "used", nullptr)) {
+ if (IsAddressUsed(dest)) {
return true;
}
if (IsLegacy()) {
@@ -842,15 +905,15 @@ bool CWallet::IsSpentKey(const uint256& hash, unsigned int n) const
assert(spk_man != nullptr);
for (const auto& keyid : GetAffectedKeys(srctx->tx->vout[n].scriptPubKey, *spk_man)) {
WitnessV0KeyHash wpkh_dest(keyid);
- if (GetDestData(wpkh_dest, "used", nullptr)) {
+ if (IsAddressUsed(wpkh_dest)) {
return true;
}
ScriptHash sh_wpkh_dest(GetScriptForDestination(wpkh_dest));
- if (GetDestData(sh_wpkh_dest, "used", nullptr)) {
+ if (IsAddressUsed(sh_wpkh_dest)) {
return true;
}
PKHash pkh_dest(keyid);
- if (GetDestData(pkh_dest, "used", nullptr)) {
+ if (IsAddressUsed(pkh_dest)) {
return true;
}
}
@@ -859,7 +922,7 @@ bool CWallet::IsSpentKey(const uint256& hash, unsigned int n) const
return false;
}
-CWalletTx* CWallet::AddToWallet(CTransactionRef tx, const CWalletTx::Confirmation& confirm, const UpdateWalletTxFn& update_wtx, bool fFlushOnClose)
+CWalletTx* CWallet::AddToWallet(CTransactionRef tx, const TxState& state, const UpdateWalletTxFn& update_wtx, bool fFlushOnClose, bool rescanning_old_block)
{
LOCK(cs_wallet);
@@ -880,31 +943,26 @@ CWalletTx* CWallet::AddToWallet(CTransactionRef tx, const CWalletTx::Confirmatio
}
// Inserts only if not already there, returns tx inserted or tx found
- auto ret = mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(hash), std::forward_as_tuple(this, tx));
+ auto ret = mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(hash), std::forward_as_tuple(tx, state));
CWalletTx& wtx = (*ret.first).second;
bool fInsertedNew = ret.second;
bool fUpdated = update_wtx && update_wtx(wtx, fInsertedNew);
if (fInsertedNew) {
- wtx.m_confirm = confirm;
- wtx.nTimeReceived = chain().getAdjustedTime();
+ wtx.nTimeReceived = GetTime();
wtx.nOrderPos = IncOrderPosNext(&batch);
wtx.m_it_wtxOrdered = wtxOrdered.insert(std::make_pair(wtx.nOrderPos, &wtx));
- wtx.nTimeSmart = ComputeTimeSmart(wtx);
- AddToSpends(hash);
+ wtx.nTimeSmart = ComputeTimeSmart(wtx, rescanning_old_block);
+ AddToSpends(hash, &batch);
}
if (!fInsertedNew)
{
- if (confirm.status != wtx.m_confirm.status) {
- wtx.m_confirm.status = confirm.status;
- wtx.m_confirm.nIndex = confirm.nIndex;
- wtx.m_confirm.hashBlock = confirm.hashBlock;
- wtx.m_confirm.block_height = confirm.block_height;
+ if (state.index() != wtx.m_state.index()) {
+ wtx.m_state = state;
fUpdated = true;
} else {
- assert(wtx.m_confirm.nIndex == confirm.nIndex);
- assert(wtx.m_confirm.hashBlock == confirm.hashBlock);
- assert(wtx.m_confirm.block_height == confirm.block_height);
+ assert(TxStateSerializedIndex(wtx.m_state) == TxStateSerializedIndex(state));
+ assert(TxStateSerializedBlockHash(wtx.m_state) == TxStateSerializedBlockHash(state));
}
// If we have a witness-stripped version of this transaction, and we
// see a new version with a witness, then we must be upgrading a pre-segwit
@@ -929,15 +987,23 @@ CWalletTx* CWallet::AddToWallet(CTransactionRef tx, const CWalletTx::Confirmatio
wtx.MarkDirty();
// Notify UI of new or updated transaction
- NotifyTransactionChanged(this, hash, fInsertedNew ? CT_NEW : CT_UPDATED);
+ NotifyTransactionChanged(hash, fInsertedNew ? CT_NEW : CT_UPDATED);
#if HAVE_SYSTEM
// notify an external script when a wallet transaction comes in or is updated
- std::string strCmd = gArgs.GetArg("-walletnotify", "");
+ std::string strCmd = m_args.GetArg("-walletnotify", "");
if (!strCmd.empty())
{
boost::replace_all(strCmd, "%s", hash.GetHex());
+ if (auto* conf = wtx.state<TxStateConfirmed>())
+ {
+ boost::replace_all(strCmd, "%b", conf->confirmed_block_hash.GetHex());
+ boost::replace_all(strCmd, "%h", ToString(conf->confirmed_block_height));
+ } else {
+ boost::replace_all(strCmd, "%b", "unconfirmed");
+ boost::replace_all(strCmd, "%h", "-1");
+ }
#ifndef WIN32
// Substituting the wallet name isn't currently supported on windows
// because windows shell escaping has not been implemented yet:
@@ -956,7 +1022,7 @@ CWalletTx* CWallet::AddToWallet(CTransactionRef tx, const CWalletTx::Confirmatio
bool CWallet::LoadToWallet(const uint256& hash, const UpdateWalletTxFn& fill_wtx)
{
- const auto& ins = mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(hash), std::forward_as_tuple(this, nullptr));
+ const auto& ins = mapWallet.emplace(std::piecewise_construct, std::forward_as_tuple(hash), std::forward_as_tuple(nullptr, TxStateInactive{}));
CWalletTx& wtx = ins.first->second;
if (!fill_wtx(wtx, ins.second)) {
return false;
@@ -964,22 +1030,21 @@ bool CWallet::LoadToWallet(const uint256& hash, const UpdateWalletTxFn& fill_wtx
// If wallet doesn't have a chain (e.g wallet-tool), don't bother to update txn.
if (HaveChain()) {
bool active;
- int height;
- if (chain().findBlock(wtx.m_confirm.hashBlock, FoundBlock().inActiveChain(active).height(height)) && active) {
- // Update cached block height variable since it not stored in the
- // serialized transaction.
- wtx.m_confirm.block_height = height;
- } else if (wtx.isConflicted() || wtx.isConfirmed()) {
+ auto lookup_block = [&](const uint256& hash, int& height, TxState& state) {
// If tx block (or conflicting block) was reorged out of chain
// while the wallet was shutdown, change tx status to UNCONFIRMED
// and reset block height, hash, and index. ABANDONED tx don't have
// associated blocks and don't need to be updated. The case where a
// transaction was reorged out while online and then reconfirmed
// while offline is covered by the rescan logic.
- wtx.setUnconfirmed();
- wtx.m_confirm.hashBlock = uint256();
- wtx.m_confirm.block_height = 0;
- wtx.m_confirm.nIndex = 0;
+ if (!chain().findBlock(hash, FoundBlock().inActiveChain(active).height(height)) || !active) {
+ state = TxStateInactive{};
+ }
+ };
+ if (auto* conf = wtx.state<TxStateConfirmed>()) {
+ lookup_block(conf->confirmed_block_hash, conf->confirmed_block_height, wtx.m_state);
+ } else if (auto* conf = wtx.state<TxStateConflicted>()) {
+ lookup_block(conf->conflicting_block_hash, conf->conflicting_block_height, wtx.m_state);
}
}
if (/* insertion took place */ ins.second) {
@@ -990,27 +1055,27 @@ bool CWallet::LoadToWallet(const uint256& hash, const UpdateWalletTxFn& fill_wtx
auto it = mapWallet.find(txin.prevout.hash);
if (it != mapWallet.end()) {
CWalletTx& prevtx = it->second;
- if (prevtx.isConflicted()) {
- MarkConflicted(prevtx.m_confirm.hashBlock, prevtx.m_confirm.block_height, wtx.GetHash());
+ if (auto* prev = prevtx.state<TxStateConflicted>()) {
+ MarkConflicted(prev->conflicting_block_hash, prev->conflicting_block_height, wtx.GetHash());
}
}
}
return true;
}
-bool CWallet::AddToWalletIfInvolvingMe(const CTransactionRef& ptx, CWalletTx::Confirmation confirm, bool fUpdate)
+bool CWallet::AddToWalletIfInvolvingMe(const CTransactionRef& ptx, const SyncTxState& state, bool fUpdate, bool rescanning_old_block)
{
const CTransaction& tx = *ptx;
{
AssertLockHeld(cs_wallet);
- if (!confirm.hashBlock.IsNull()) {
+ if (auto* conf = std::get_if<TxStateConfirmed>(&state)) {
for (const CTxIn& txin : tx.vin) {
std::pair<TxSpends::const_iterator, TxSpends::const_iterator> range = mapTxSpends.equal_range(txin.prevout);
while (range.first != range.second) {
if (range.first->second != tx.GetHash()) {
- WalletLogPrintf("Transaction %s (in block %s) conflicts with wallet transaction %s (both spend %s:%i)\n", tx.GetHash().ToString(), confirm.hashBlock.ToString(), range.first->second.ToString(), range.first->first.hash.ToString(), range.first->first.n);
- MarkConflicted(confirm.hashBlock, confirm.block_height, range.first->second);
+ WalletLogPrintf("Transaction %s (in block %s) conflicts with wallet transaction %s (both spend %s:%i)\n", tx.GetHash().ToString(), conf->confirmed_block_hash.ToString(), range.first->second.ToString(), range.first->first.hash.ToString(), range.first->first.n);
+ MarkConflicted(conf->confirmed_block_hash, conf->confirmed_block_height, range.first->second);
}
range.first++;
}
@@ -1029,14 +1094,30 @@ bool CWallet::AddToWalletIfInvolvingMe(const CTransactionRef& ptx, CWalletTx::Co
// loop though all outputs
for (const CTxOut& txout: tx.vout) {
- for (const auto& spk_man_pair : m_spk_managers) {
- spk_man_pair.second->MarkUnusedAddresses(txout.scriptPubKey);
+ for (const auto& spk_man : GetScriptPubKeyMans(txout.scriptPubKey)) {
+ for (auto &dest : spk_man->MarkUnusedAddresses(txout.scriptPubKey)) {
+ // If internal flag is not defined try to infer it from the ScriptPubKeyMan
+ if (!dest.internal.has_value()) {
+ dest.internal = IsInternalScriptPubKeyMan(spk_man);
+ }
+
+ // skip if can't determine whether it's a receiving address or not
+ if (!dest.internal.has_value()) continue;
+
+ // If this is a receiving address and it's not in the address book yet
+ // (e.g. it wasn't generated on this node or we're restoring from backup)
+ // add it to the address book for proper transaction accounting
+ if (!*dest.internal && !FindAddressBookEntry(dest.dest, /* allow_change= */ false)) {
+ SetAddressBook(dest.dest, "", "receive");
+ }
+ }
}
}
// Block disconnection override an abandoned tx as unconfirmed
// which means user may have to call abandontransaction again
- return AddToWallet(MakeTransactionRef(tx), confirm, /* update_wtx= */ nullptr, /* fFlushOnClose= */ false);
+ TxState tx_state = std::visit([](auto&& s) -> TxState { return s; }, state);
+ return AddToWallet(MakeTransactionRef(tx), tx_state, /*update_wtx=*/nullptr, /*fFlushOnClose=*/false, rescanning_old_block);
}
}
return false;
@@ -1046,7 +1127,7 @@ bool CWallet::TransactionCanBeAbandoned(const uint256& hashTx) const
{
LOCK(cs_wallet);
const CWalletTx* wtx = GetWalletTx(hashTx);
- return wtx && !wtx->isAbandoned() && wtx->GetDepthInMainChain() == 0 && !wtx->InMempool();
+ return wtx && !wtx->isAbandoned() && GetTxDepthInMainChain(*wtx) == 0 && !wtx->InMempool();
}
void CWallet::MarkInputsDirty(const CTransactionRef& tx)
@@ -1072,7 +1153,7 @@ bool CWallet::AbandonTransaction(const uint256& hashTx)
auto it = mapWallet.find(hashTx);
assert(it != mapWallet.end());
const CWalletTx& origtx = it->second;
- if (origtx.GetDepthInMainChain() != 0 || origtx.InMempool()) {
+ if (GetTxDepthInMainChain(origtx) != 0 || origtx.InMempool()) {
return false;
}
@@ -1085,17 +1166,17 @@ bool CWallet::AbandonTransaction(const uint256& hashTx)
auto it = mapWallet.find(now);
assert(it != mapWallet.end());
CWalletTx& wtx = it->second;
- int currentconfirm = wtx.GetDepthInMainChain();
+ int currentconfirm = GetTxDepthInMainChain(wtx);
// If the orig tx was not in block, none of its spends can be
assert(currentconfirm <= 0);
// if (currentconfirm < 0) {Tx and spends are already conflicted, no need to abandon}
if (currentconfirm == 0 && !wtx.isAbandoned()) {
// If the orig tx was not in block/mempool, none of its spends can be in mempool
assert(!wtx.InMempool());
- wtx.setAbandoned();
+ wtx.m_state = TxStateInactive{/*abandoned=*/true};
wtx.MarkDirty();
batch.WriteTx(wtx);
- NotifyTransactionChanged(this, wtx.GetHash(), CT_UPDATED);
+ NotifyTransactionChanged(wtx.GetHash(), CT_UPDATED);
// Iterate over all its outputs, and mark transactions in the wallet that spend them abandoned too
TxSpends::const_iterator iter = mapTxSpends.lower_bound(COutPoint(now, 0));
while (iter != mapTxSpends.end() && iter->first.hash == now) {
@@ -1140,14 +1221,11 @@ void CWallet::MarkConflicted(const uint256& hashBlock, int conflicting_height, c
auto it = mapWallet.find(now);
assert(it != mapWallet.end());
CWalletTx& wtx = it->second;
- int currentconfirm = wtx.GetDepthInMainChain();
+ int currentconfirm = GetTxDepthInMainChain(wtx);
if (conflictconfirms < currentconfirm) {
// Block is 'more conflicted' than current confirm; update.
// Mark transaction as conflicted with this block.
- wtx.m_confirm.nIndex = 0;
- wtx.m_confirm.hashBlock = hashBlock;
- wtx.m_confirm.block_height = conflicting_height;
- wtx.setConflicted();
+ wtx.m_state = TxStateConflicted{hashBlock, conflicting_height};
wtx.MarkDirty();
batch.WriteTx(wtx);
// Iterate over all its outputs, and mark transactions in the wallet that spend them conflicted too
@@ -1165,9 +1243,9 @@ void CWallet::MarkConflicted(const uint256& hashBlock, int conflicting_height, c
}
}
-void CWallet::SyncTransaction(const CTransactionRef& ptx, CWalletTx::Confirmation confirm, bool update_tx)
+void CWallet::SyncTransaction(const CTransactionRef& ptx, const SyncTxState& state, bool update_tx, bool rescanning_old_block)
{
- if (!AddToWalletIfInvolvingMe(ptx, confirm, update_tx))
+ if (!AddToWalletIfInvolvingMe(ptx, state, update_tx, rescanning_old_block))
return; // Not one of ours
// If a transaction changes 'conflicted' state, that changes the balance
@@ -1178,11 +1256,11 @@ void CWallet::SyncTransaction(const CTransactionRef& ptx, CWalletTx::Confirmatio
void CWallet::transactionAddedToMempool(const CTransactionRef& tx, uint64_t mempool_sequence) {
LOCK(cs_wallet);
- SyncTransaction(tx, {CWalletTx::Status::UNCONFIRMED, /* block height */ 0, /* block hash */ {}, /* index */ 0});
+ SyncTransaction(tx, TxStateInMempool{});
auto it = mapWallet.find(tx->GetHash());
if (it != mapWallet.end()) {
- it->second.fInMempool = true;
+ RefreshMempoolStatus(it->second, chain());
}
}
@@ -1190,7 +1268,7 @@ void CWallet::transactionRemovedFromMempool(const CTransactionRef& tx, MemPoolRe
LOCK(cs_wallet);
auto it = mapWallet.find(tx->GetHash());
if (it != mapWallet.end()) {
- it->second.fInMempool = false;
+ RefreshMempoolStatus(it->second, chain());
}
// Handle transactions that were removed from the mempool because they
// conflict with transactions in a newly connected block.
@@ -1219,7 +1297,7 @@ void CWallet::transactionRemovedFromMempool(const CTransactionRef& tx, MemPoolRe
// distinguishing between conflicted and unconfirmed transactions are
// imperfect, and could be improved in general, see
// https://github.com/bitcoin-core/bitcoin-devwiki/wiki/Wallet-Transaction-Conflict-Tracking
- SyncTransaction(tx, {CWalletTx::Status::UNCONFIRMED, /* block height */ 0, /* block hash */ {}, /* index */ 0});
+ SyncTransaction(tx, TxStateInactive{});
}
}
@@ -1231,7 +1309,7 @@ void CWallet::blockConnected(const CBlock& block, int height)
m_last_block_processed_height = height;
m_last_block_processed = block_hash;
for (size_t index = 0; index < block.vtx.size(); index++) {
- SyncTransaction(block.vtx[index], {CWalletTx::Status::CONFIRMED, height, block_hash, (int)index});
+ SyncTransaction(block.vtx[index], TxStateConfirmed{block_hash, height, static_cast<int>(index)});
transactionRemovedFromMempool(block.vtx[index], MemPoolRemovalReason::BLOCK, 0 /* mempool_sequence */);
}
}
@@ -1247,7 +1325,7 @@ void CWallet::blockDisconnected(const CBlock& block, int height)
m_last_block_processed_height = height - 1;
m_last_block_processed = block.hashPrevBlock;
for (const CTransactionRef& ptx : block.vtx) {
- SyncTransaction(ptx, {CWalletTx::Status::UNCONFIRMED, /* block height */ 0, /* block hash */ {}, /* index */ 0});
+ SyncTransaction(ptx, TxStateInactive{});
}
}
@@ -1256,31 +1334,16 @@ void CWallet::updatedBlockTip()
m_best_block_time = GetTime();
}
-
void CWallet::BlockUntilSyncedToCurrentChain() const {
AssertLockNotHeld(cs_wallet);
// Skip the queue-draining stuff if we know we're caught up with
- // ::ChainActive().Tip(), otherwise put a callback in the validation interface queue and wait
+ // chain().Tip(), otherwise put a callback in the validation interface queue and wait
// for the queue to drain enough to execute it (indicating we are caught up
// at least with the time we entered this function).
uint256 last_block_hash = WITH_LOCK(cs_wallet, return m_last_block_processed);
chain().waitForNotificationsIfTipChanged(last_block_hash);
}
-
-isminetype CWallet::IsMine(const CTxIn &txin) const
-{
- AssertLockHeld(cs_wallet);
- std::map<uint256, CWalletTx>::const_iterator mi = mapWallet.find(txin.prevout.hash);
- if (mi != mapWallet.end())
- {
- const CWalletTx& prev = (*mi).second;
- if (txin.prevout.n < prev.tx->vout.size())
- return IsMine(prev.tx->vout[txin.prevout.n]);
- }
- return ISMINE_NO;
-}
-
// Note that this function doesn't distinguish between a 0-valued input,
// and a not-"is mine" (according to the filter) input.
CAmount CWallet::GetDebit(const CTxIn &txin, const isminefilter& filter) const
@@ -1321,49 +1384,6 @@ isminetype CWallet::IsMine(const CScript& script) const
return result;
}
-CAmount CWallet::GetCredit(const CTxOut& txout, const isminefilter& filter) const
-{
- if (!MoneyRange(txout.nValue))
- throw std::runtime_error(std::string(__func__) + ": value out of range");
- LOCK(cs_wallet);
- return ((IsMine(txout) & filter) ? txout.nValue : 0);
-}
-
-bool CWallet::IsChange(const CTxOut& txout) const
-{
- return IsChange(txout.scriptPubKey);
-}
-
-bool CWallet::IsChange(const CScript& script) const
-{
- // TODO: fix handling of 'change' outputs. The assumption is that any
- // payment to a script that is ours, but is not in the address book
- // is change. That assumption is likely to break when we implement multisignature
- // wallets that return change back into a multi-signature-protected address;
- // a better way of identifying which outputs are 'the send' and which are
- // 'the change' will need to be implemented (maybe extend CWalletTx to remember
- // which output, if any, was change).
- AssertLockHeld(cs_wallet);
- if (IsMine(script))
- {
- CTxDestination address;
- if (!ExtractDestination(script, address))
- return true;
- if (!FindAddressBookEntry(address)) {
- return true;
- }
- }
- return false;
-}
-
-CAmount CWallet::GetChange(const CTxOut& txout) const
-{
- AssertLockHeld(cs_wallet);
- if (!MoneyRange(txout.nValue))
- throw std::runtime_error(std::string(__func__) + ": value out of range");
- return (IsChange(txout) ? txout.nValue : 0);
-}
-
bool CWallet::IsMine(const CTransaction& tx) const
{
AssertLockHeld(cs_wallet);
@@ -1390,58 +1410,13 @@ CAmount CWallet::GetDebit(const CTransaction& tx, const isminefilter& filter) co
return nDebit;
}
-bool CWallet::IsAllFromMe(const CTransaction& tx, const isminefilter& filter) const
-{
- LOCK(cs_wallet);
-
- for (const CTxIn& txin : tx.vin)
- {
- auto mi = mapWallet.find(txin.prevout.hash);
- if (mi == mapWallet.end())
- return false; // any unknown inputs can't be from us
-
- const CWalletTx& prev = (*mi).second;
-
- if (txin.prevout.n >= prev.tx->vout.size())
- return false; // invalid input!
-
- if (!(IsMine(prev.tx->vout[txin.prevout.n]) & filter))
- return false;
- }
- return true;
-}
-
-CAmount CWallet::GetCredit(const CTransaction& tx, const isminefilter& filter) const
-{
- CAmount nCredit = 0;
- for (const CTxOut& txout : tx.vout)
- {
- nCredit += GetCredit(txout, filter);
- if (!MoneyRange(nCredit))
- throw std::runtime_error(std::string(__func__) + ": value out of range");
- }
- return nCredit;
-}
-
-CAmount CWallet::GetChange(const CTransaction& tx) const
-{
- LOCK(cs_wallet);
- CAmount nChange = 0;
- for (const CTxOut& txout : tx.vout)
- {
- nChange += GetChange(txout);
- if (!MoneyRange(nChange))
- throw std::runtime_error(std::string(__func__) + ": value out of range");
- }
- return nChange;
-}
-
bool CWallet::IsHDEnabled() const
{
// All Active ScriptPubKeyMans must be HD for this to be true
- bool result = true;
+ bool result = false;
for (const auto& spk_man : GetActiveScriptPubKeyMans()) {
- result &= spk_man->IsHDEnabled();
+ if (!spk_man->IsHDEnabled()) return false;
+ result = true;
}
return result;
}
@@ -1515,42 +1490,88 @@ bool CWallet::AddWalletFlags(uint64_t flags)
return LoadWalletFlags(flags);
}
-int64_t CWalletTx::GetTxTime() const
-{
- int64_t n = nTimeSmart;
- return n ? n : nTimeReceived;
-}
-
// Helper for producing a max-sized low-S low-R signature (eg 71 bytes)
// or a max-sized low-S signature (e.g. 72 bytes) if use_max_sig is true
-bool CWallet::DummySignInput(CTxIn &tx_in, const CTxOut &txout, bool use_max_sig) const
+bool DummySignInput(const SigningProvider& provider, CTxIn &tx_in, const CTxOut &txout, bool use_max_sig)
{
// Fill in dummy signatures for fee calculation.
const CScript& scriptPubKey = txout.scriptPubKey;
SignatureData sigdata;
- std::unique_ptr<SigningProvider> provider = GetSolvingProvider(scriptPubKey);
- if (!provider) {
- // We don't know about this scriptpbuKey;
+ if (!ProduceSignature(provider, use_max_sig ? DUMMY_MAXIMUM_SIGNATURE_CREATOR : DUMMY_SIGNATURE_CREATOR, scriptPubKey, sigdata)) {
return false;
}
+ UpdateInput(tx_in, sigdata);
+ return true;
+}
+
+bool FillInputToWeight(CTxIn& txin, int64_t target_weight)
+{
+ assert(txin.scriptSig.empty());
+ assert(txin.scriptWitness.IsNull());
+
+ int64_t txin_weight = GetTransactionInputWeight(txin);
- if (!ProduceSignature(*provider, use_max_sig ? DUMMY_MAXIMUM_SIGNATURE_CREATOR : DUMMY_SIGNATURE_CREATOR, scriptPubKey, sigdata)) {
+ // Do nothing if the weight that should be added is less than the weight that already exists
+ if (target_weight < txin_weight) {
return false;
}
- UpdateInput(tx_in, sigdata);
+ if (target_weight == txin_weight) {
+ return true;
+ }
+
+ // Subtract current txin weight, which should include empty witness stack
+ int64_t add_weight = target_weight - txin_weight;
+ assert(add_weight > 0);
+
+ // We will want to subtract the size of the Compact Size UInt that will also be serialized.
+ // However doing so when the size is near a boundary can result in a problem where it is not
+ // possible to have a stack element size and combination to exactly equal a target.
+ // To avoid this possibility, if the weight to add is less than 10 bytes greater than
+ // a boundary, the size will be split so that 2/3rds will be in one stack element, and
+ // the remaining 1/3rd in another. Using 3rds allows us to avoid additional boundaries.
+ // 10 bytes is used because that accounts for the maximum size. This does not need to be super precise.
+ if ((add_weight >= 253 && add_weight < 263)
+ || (add_weight > std::numeric_limits<uint16_t>::max() && add_weight <= std::numeric_limits<uint16_t>::max() + 10)
+ || (add_weight > std::numeric_limits<uint32_t>::max() && add_weight <= std::numeric_limits<uint32_t>::max() + 10)) {
+ int64_t first_weight = add_weight / 3;
+ add_weight -= first_weight;
+
+ first_weight -= GetSizeOfCompactSize(first_weight);
+ txin.scriptWitness.stack.emplace(txin.scriptWitness.stack.end(), first_weight, 0);
+ }
+
+ add_weight -= GetSizeOfCompactSize(add_weight);
+ txin.scriptWitness.stack.emplace(txin.scriptWitness.stack.end(), add_weight, 0);
+ assert(GetTransactionInputWeight(txin) == target_weight);
+
return true;
}
// Helper for producing a bunch of max-sized low-S low-R signatures (eg 71 bytes)
-bool CWallet::DummySignTx(CMutableTransaction &txNew, const std::vector<CTxOut> &txouts, bool use_max_sig) const
+bool CWallet::DummySignTx(CMutableTransaction &txNew, const std::vector<CTxOut> &txouts, const CCoinControl* coin_control) const
{
// Fill in dummy signatures for fee calculation.
int nIn = 0;
for (const auto& txout : txouts)
{
- if (!DummySignInput(txNew.vin[nIn], txout, use_max_sig)) {
- return false;
+ CTxIn& txin = txNew.vin[nIn];
+ // If weight was provided, fill the input to that weight
+ if (coin_control && coin_control->HasInputWeight(txin.prevout)) {
+ if (!FillInputToWeight(txin, coin_control->GetInputWeight(txin.prevout))) {
+ return false;
+ }
+ nIn++;
+ continue;
+ }
+ // Use max sig if watch only inputs were used or if this particular input is an external input
+ // to ensure a sufficient fee is attained for the requested feerate.
+ const bool use_max_sig = coin_control && (coin_control->fAllowWatchOnly || coin_control->IsExternalSelected(txin.prevout));
+ const std::unique_ptr<SigningProvider> provider = GetSolvingProvider(txout.scriptPubKey);
+ if (!provider || !DummySignInput(*provider, txin, txout, use_max_sig)) {
+ if (!coin_control || !DummySignInput(coin_control->m_external_provider, txin, txout, use_max_sig)) {
+ return false;
+ }
}
nIn++;
@@ -1611,97 +1632,6 @@ bool CWallet::ImportScriptPubKeys(const std::string& label, const std::set<CScri
return true;
}
-int64_t CalculateMaximumSignedTxSize(const CTransaction &tx, const CWallet *wallet, bool use_max_sig)
-{
- std::vector<CTxOut> txouts;
- for (const CTxIn& input : tx.vin) {
- const auto mi = wallet->mapWallet.find(input.prevout.hash);
- // Can not estimate size without knowing the input details
- if (mi == wallet->mapWallet.end()) {
- return -1;
- }
- assert(input.prevout.n < mi->second.tx->vout.size());
- txouts.emplace_back(mi->second.tx->vout[input.prevout.n]);
- }
- return CalculateMaximumSignedTxSize(tx, wallet, txouts, use_max_sig);
-}
-
-// txouts needs to be in the order of tx.vin
-int64_t CalculateMaximumSignedTxSize(const CTransaction &tx, const CWallet *wallet, const std::vector<CTxOut>& txouts, bool use_max_sig)
-{
- CMutableTransaction txNew(tx);
- if (!wallet->DummySignTx(txNew, txouts, use_max_sig)) {
- return -1;
- }
- return GetVirtualTransactionSize(CTransaction(txNew));
-}
-
-int CalculateMaximumSignedInputSize(const CTxOut& txout, const CWallet* wallet, bool use_max_sig)
-{
- CMutableTransaction txn;
- txn.vin.push_back(CTxIn(COutPoint()));
- if (!wallet->DummySignInput(txn.vin[0], txout, use_max_sig)) {
- return -1;
- }
- return GetVirtualTransactionInputSize(txn.vin[0]);
-}
-
-void CWalletTx::GetAmounts(std::list<COutputEntry>& listReceived,
- std::list<COutputEntry>& listSent, CAmount& nFee, const isminefilter& filter) const
-{
- nFee = 0;
- listReceived.clear();
- listSent.clear();
-
- // Compute fee:
- CAmount nDebit = GetDebit(filter);
- if (nDebit > 0) // debit>0 means we signed/sent this transaction
- {
- CAmount nValueOut = tx->GetValueOut();
- nFee = nDebit - nValueOut;
- }
-
- LOCK(pwallet->cs_wallet);
- // Sent/received.
- for (unsigned int i = 0; i < tx->vout.size(); ++i)
- {
- const CTxOut& txout = tx->vout[i];
- isminetype fIsMine = pwallet->IsMine(txout);
- // Only need to handle txouts if AT LEAST one of these is true:
- // 1) they debit from us (sent)
- // 2) the output is to us (received)
- if (nDebit > 0)
- {
- // Don't report 'change' txouts
- if (pwallet->IsChange(txout))
- continue;
- }
- else if (!(fIsMine & filter))
- continue;
-
- // In either case, we need to get the destination address
- CTxDestination address;
-
- if (!ExtractDestination(txout.scriptPubKey, address) && !txout.scriptPubKey.IsUnspendable())
- {
- pwallet->WalletLogPrintf("CWalletTx::GetAmounts: Unknown transaction type found, txid %s\n",
- this->GetHash().ToString());
- address = CNoDestination();
- }
-
- COutputEntry output = {address, txout.nValue, (int)i};
-
- // If we are debited by the transaction, add the output as a "sent" entry
- if (nDebit > 0)
- listSent.push_back(output);
-
- // If we are receiving the output, add it as a "received" entry
- if (fIsMine & filter)
- listReceived.push_back(output);
- }
-
-}
-
/**
* Scan active chain for relevant transactions after importing keys. This should
* be called whenever new keys are added to the wallet, with the oldest key
@@ -1753,7 +1683,7 @@ int64_t CWallet::RescanFromTime(int64_t startTime, const WalletRescanReserver& r
* the main chain after to the addition of any new keys you want to detect
* transactions for.
*/
-CWallet::ScanResult CWallet::ScanForWalletTransactions(const uint256& start_block, int start_height, Optional<int> max_height, const WalletRescanReserver& reserver, bool fUpdate)
+CWallet::ScanResult CWallet::ScanForWalletTransactions(const uint256& start_block, int start_height, std::optional<int> max_height, const WalletRescanReserver& reserver, bool fUpdate)
{
int64_t nNow = GetTime();
int64_t start_time = GetTimeMillis();
@@ -1766,7 +1696,7 @@ CWallet::ScanResult CWallet::ScanForWalletTransactions(const uint256& start_bloc
WalletLogPrintf("Rescan started from block %s...\n", start_block.ToString());
fAbortRescan = false;
- ShowProgress(strprintf("%s " + _("Rescanning...").translated, GetDisplayName()), 0); // show rescan progress in GUI as dialog or on splashscreen, if -rescan on startup
+ ShowProgress(strprintf("%s " + _("Rescanning…").translated, GetDisplayName()), 0); // show rescan progress in GUI as dialog or on splashscreen, if rescan required on startup (e.g. due to corruption)
uint256 tip_hash = WITH_LOCK(cs_wallet, return GetLastBlockHash());
uint256 end_hash = tip_hash;
if (max_height) chain().findAncestorByHeight(tip_hash, *max_height, FoundBlock().hash(end_hash));
@@ -1781,7 +1711,7 @@ CWallet::ScanResult CWallet::ScanForWalletTransactions(const uint256& start_bloc
m_scanning_progress = 0;
}
if (block_height % 100 == 0 && progress_end - progress_begin > 0.0) {
- ShowProgress(strprintf("%s " + _("Rescanning...").translated, GetDisplayName()), std::max(1, std::min(99, (int)(m_scanning_progress * 100))));
+ ShowProgress(strprintf("%s " + _("Rescanning…").translated, GetDisplayName()), std::max(1, std::min(99, (int)(m_scanning_progress * 100))));
}
if (GetTime() >= nNow + 60) {
nNow = GetTime();
@@ -1809,7 +1739,7 @@ CWallet::ScanResult CWallet::ScanForWalletTransactions(const uint256& start_bloc
break;
}
for (size_t posInBlock = 0; posInBlock < block.vtx.size(); ++posInBlock) {
- SyncTransaction(block.vtx[posInBlock], {CWalletTx::Status::CONFIRMED, block_height, block_hash, (int)posInBlock}, fUpdate);
+ SyncTransaction(block.vtx[posInBlock], TxStateConfirmed{block_hash, block_height, static_cast<int>(posInBlock)}, fUpdate, /*rescanning_old_block=*/true);
}
// scan succeeded, record block as most recent successfully scanned
result.last_scanned_block = block_hash;
@@ -1843,7 +1773,7 @@ CWallet::ScanResult CWallet::ScanForWalletTransactions(const uint256& start_bloc
}
}
}
- ShowProgress(strprintf("%s " + _("Rescanning...").translated, GetDisplayName()), 100); // hide progress dialog in GUI
+ ShowProgress(strprintf("%s " + _("Rescanning…").translated, GetDisplayName()), 100); // hide progress dialog in GUI
if (block_height && fAbortRescan) {
WalletLogPrintf("Rescan aborted at block %d. Progress=%f\n", block_height, progress_current);
result.status = ScanResult::USER_ABORT;
@@ -1869,7 +1799,7 @@ void CWallet::ReacceptWalletTransactions()
CWalletTx& wtx = item.second;
assert(wtx.GetHash() == wtxid);
- int nDepth = wtx.GetDepthInMainChain();
+ int nDepth = GetTxDepthInMainChain(wtx);
if (!wtx.IsCoinBase() && (nDepth == 0 && !wtx.isAbandoned())) {
mapSorted.insert(std::make_pair(wtx.nOrderPos, &wtx));
@@ -1880,209 +1810,49 @@ void CWallet::ReacceptWalletTransactions()
for (const std::pair<const int64_t, CWalletTx*>& item : mapSorted) {
CWalletTx& wtx = *(item.second);
std::string unused_err_string;
- wtx.SubmitMemoryPoolAndRelay(unused_err_string, false);
+ SubmitTxMemoryPoolAndRelay(wtx, unused_err_string, false);
}
}
-bool CWalletTx::SubmitMemoryPoolAndRelay(std::string& err_string, bool relay)
+bool CWallet::SubmitTxMemoryPoolAndRelay(CWalletTx& wtx, std::string& err_string, bool relay) const
{
// Can't relay if wallet is not broadcasting
- if (!pwallet->GetBroadcastTransactions()) return false;
+ if (!GetBroadcastTransactions()) return false;
// Don't relay abandoned transactions
- if (isAbandoned()) return false;
+ if (wtx.isAbandoned()) return false;
// Don't try to submit coinbase transactions. These would fail anyway but would
// cause log spam.
- if (IsCoinBase()) return false;
+ if (wtx.IsCoinBase()) return false;
// Don't try to submit conflicted or confirmed transactions.
- if (GetDepthInMainChain() != 0) return false;
+ if (GetTxDepthInMainChain(wtx) != 0) return false;
// Submit transaction to mempool for relay
- pwallet->WalletLogPrintf("Submitting wtx %s to mempool for relay\n", GetHash().ToString());
- // We must set fInMempool here - while it will be re-set to true by the
+ WalletLogPrintf("Submitting wtx %s to mempool for relay\n", wtx.GetHash().ToString());
+ // We must set TxStateInMempool here. Even though it will also be set later by the
// entered-mempool callback, if we did not there would be a race where a
// user could call sendmoney in a loop and hit spurious out of funds errors
// because we think that this newly generated transaction's change is
// unavailable as we're not yet aware that it is in the mempool.
//
- // Irrespective of the failure reason, un-marking fInMempool
- // out-of-order is incorrect - it should be unmarked when
+ // If broadcast fails for any reason, trying to set wtx.m_state here would be incorrect.
+ // If transaction was previously in the mempool, it should be updated when
// TransactionRemovedFromMempool fires.
- bool ret = pwallet->chain().broadcastTransaction(tx, pwallet->m_default_max_tx_fee, relay, err_string);
- fInMempool |= ret;
+ bool ret = chain().broadcastTransaction(wtx.tx, m_default_max_tx_fee, relay, err_string);
+ if (ret) wtx.m_state = TxStateInMempool{};
return ret;
}
-std::set<uint256> CWalletTx::GetConflicts() const
+std::set<uint256> CWallet::GetTxConflicts(const CWalletTx& wtx) const
{
std::set<uint256> result;
- if (pwallet != nullptr)
{
- uint256 myHash = GetHash();
- result = pwallet->GetConflicts(myHash);
+ uint256 myHash = wtx.GetHash();
+ result = GetConflicts(myHash);
result.erase(myHash);
}
return result;
}
-CAmount CWalletTx::GetCachableAmount(AmountType type, const isminefilter& filter, bool recalculate) const
-{
- auto& amount = m_amounts[type];
- if (recalculate || !amount.m_cached[filter]) {
- amount.Set(filter, type == DEBIT ? pwallet->GetDebit(*tx, filter) : pwallet->GetCredit(*tx, filter));
- m_is_cache_empty = false;
- }
- return amount.m_value[filter];
-}
-
-CAmount CWalletTx::GetDebit(const isminefilter& filter) const
-{
- if (tx->vin.empty())
- return 0;
-
- CAmount debit = 0;
- if (filter & ISMINE_SPENDABLE) {
- debit += GetCachableAmount(DEBIT, ISMINE_SPENDABLE);
- }
- if (filter & ISMINE_WATCH_ONLY) {
- debit += GetCachableAmount(DEBIT, ISMINE_WATCH_ONLY);
- }
- return debit;
-}
-
-CAmount CWalletTx::GetCredit(const isminefilter& filter) const
-{
- // Must wait until coinbase is safely deep enough in the chain before valuing it
- if (IsImmatureCoinBase())
- return 0;
-
- CAmount credit = 0;
- if (filter & ISMINE_SPENDABLE) {
- // GetBalance can assume transactions in mapWallet won't change
- credit += GetCachableAmount(CREDIT, ISMINE_SPENDABLE);
- }
- if (filter & ISMINE_WATCH_ONLY) {
- credit += GetCachableAmount(CREDIT, ISMINE_WATCH_ONLY);
- }
- return credit;
-}
-
-CAmount CWalletTx::GetImmatureCredit(bool fUseCache) const
-{
- if (IsImmatureCoinBase() && IsInMainChain()) {
- return GetCachableAmount(IMMATURE_CREDIT, ISMINE_SPENDABLE, !fUseCache);
- }
-
- return 0;
-}
-
-CAmount CWalletTx::GetAvailableCredit(bool fUseCache, const isminefilter& filter) const
-{
- if (pwallet == nullptr)
- return 0;
-
- // Avoid caching ismine for NO or ALL cases (could remove this check and simplify in the future).
- bool allow_cache = (filter & ISMINE_ALL) && (filter & ISMINE_ALL) != ISMINE_ALL;
-
- // Must wait until coinbase is safely deep enough in the chain before valuing it
- if (IsImmatureCoinBase())
- return 0;
-
- if (fUseCache && allow_cache && m_amounts[AVAILABLE_CREDIT].m_cached[filter]) {
- return m_amounts[AVAILABLE_CREDIT].m_value[filter];
- }
-
- bool allow_used_addresses = (filter & ISMINE_USED) || !pwallet->IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE);
- CAmount nCredit = 0;
- uint256 hashTx = GetHash();
- for (unsigned int i = 0; i < tx->vout.size(); i++)
- {
- if (!pwallet->IsSpent(hashTx, i) && (allow_used_addresses || !pwallet->IsSpentKey(hashTx, i))) {
- const CTxOut &txout = tx->vout[i];
- nCredit += pwallet->GetCredit(txout, filter);
- if (!MoneyRange(nCredit))
- throw std::runtime_error(std::string(__func__) + " : value out of range");
- }
- }
-
- if (allow_cache) {
- m_amounts[AVAILABLE_CREDIT].Set(filter, nCredit);
- m_is_cache_empty = false;
- }
-
- return nCredit;
-}
-
-CAmount CWalletTx::GetImmatureWatchOnlyCredit(const bool fUseCache) const
-{
- if (IsImmatureCoinBase() && IsInMainChain()) {
- return GetCachableAmount(IMMATURE_CREDIT, ISMINE_WATCH_ONLY, !fUseCache);
- }
-
- return 0;
-}
-
-CAmount CWalletTx::GetChange() const
-{
- if (fChangeCached)
- return nChangeCached;
- nChangeCached = pwallet->GetChange(*tx);
- fChangeCached = true;
- return nChangeCached;
-}
-
-bool CWalletTx::InMempool() const
-{
- return fInMempool;
-}
-
-bool CWalletTx::IsTrusted() const
-{
- std::set<uint256> trusted_parents;
- LOCK(pwallet->cs_wallet);
- return pwallet->IsTrusted(*this, trusted_parents);
-}
-
-bool CWallet::IsTrusted(const CWalletTx& wtx, std::set<uint256>& trusted_parents) const
-{
- AssertLockHeld(cs_wallet);
- // Quick answer in most cases
- if (!chain().checkFinalTx(*wtx.tx)) return false;
- int nDepth = wtx.GetDepthInMainChain();
- if (nDepth >= 1) return true;
- if (nDepth < 0) return false;
- // using wtx's cached debit
- if (!m_spend_zero_conf_change || !wtx.IsFromMe(ISMINE_ALL)) return false;
-
- // Don't trust unconfirmed transactions from us unless they are in the mempool.
- if (!wtx.InMempool()) return false;
-
- // Trusted if all inputs are from us and are in the mempool:
- for (const CTxIn& txin : wtx.tx->vin)
- {
- // Transactions not sent by us: not trusted
- const CWalletTx* parent = GetWalletTx(txin.prevout.hash);
- if (parent == nullptr) return false;
- const CTxOut& parentOut = parent->tx->vout[txin.prevout.n];
- // Check that this specific input being spent is trusted
- if (IsMine(parentOut) != ISMINE_SPENDABLE) return false;
- // If we've already trusted this parent, continue
- if (trusted_parents.count(parent->GetHash())) continue;
- // Recurse to check that the parent is also trusted
- if (!IsTrusted(*parent, trusted_parents)) return false;
- trusted_parents.insert(parent->GetHash());
- }
- return true;
-}
-
-bool CWalletTx::IsEquivalentTo(const CWalletTx& _tx) const
-{
- CMutableTransaction tx1 {*this->tx};
- CMutableTransaction tx2 {*_tx.tx};
- for (auto& txin : tx1.vin) txin.scriptSig = CScript();
- for (auto& txin : tx2.vin) txin.scriptSig = CScript();
- return CTransaction(tx1) == CTransaction(tx2);
-}
-
// Rebroadcast transactions from the wallet. We do this on a random timer
// to slightly obfuscate which transactions come from our wallet.
//
@@ -2115,11 +1885,11 @@ void CWallet::ResendWalletTransactions()
for (std::pair<const uint256, CWalletTx>& item : mapWallet) {
CWalletTx& wtx = item.second;
// Attempt to rebroadcast all txes more than 5 minutes older than
- // the last block. SubmitMemoryPoolAndRelay() will not rebroadcast
+ // the last block. SubmitTxMemoryPoolAndRelay() will not rebroadcast
// any confirmed or conflicting txs.
if (wtx.nTimeReceived > m_best_block_time - 5 * 60) continue;
std::string unused_err_string;
- if (wtx.SubmitMemoryPoolAndRelay(unused_err_string, true)) ++submitted_tx_count;
+ if (SubmitTxMemoryPoolAndRelay(wtx, unused_err_string, true)) ++submitted_tx_count;
}
} // cs_wallet
@@ -2130,9 +1900,9 @@ void CWallet::ResendWalletTransactions()
/** @} */ // end of mapWallet
-void MaybeResendWalletTxs()
+void MaybeResendWalletTxs(WalletContext& context)
{
- for (const std::shared_ptr<CWallet>& pwallet : GetWallets()) {
+ for (const std::shared_ptr<CWallet>& pwallet : GetWallets(context)) {
pwallet->ResendWalletTransactions();
}
}
@@ -2143,371 +1913,6 @@ void MaybeResendWalletTxs()
* @{
*/
-
-CWallet::Balance CWallet::GetBalance(const int min_depth, bool avoid_reuse) const
-{
- Balance ret;
- isminefilter reuse_filter = avoid_reuse ? ISMINE_NO : ISMINE_USED;
- {
- LOCK(cs_wallet);
- std::set<uint256> trusted_parents;
- for (const auto& entry : mapWallet)
- {
- const CWalletTx& wtx = entry.second;
- const bool is_trusted{IsTrusted(wtx, trusted_parents)};
- const int tx_depth{wtx.GetDepthInMainChain()};
- const CAmount tx_credit_mine{wtx.GetAvailableCredit(/* fUseCache */ true, ISMINE_SPENDABLE | reuse_filter)};
- const CAmount tx_credit_watchonly{wtx.GetAvailableCredit(/* fUseCache */ true, ISMINE_WATCH_ONLY | reuse_filter)};
- if (is_trusted && tx_depth >= min_depth) {
- ret.m_mine_trusted += tx_credit_mine;
- ret.m_watchonly_trusted += tx_credit_watchonly;
- }
- if (!is_trusted && tx_depth == 0 && wtx.InMempool()) {
- ret.m_mine_untrusted_pending += tx_credit_mine;
- ret.m_watchonly_untrusted_pending += tx_credit_watchonly;
- }
- ret.m_mine_immature += wtx.GetImmatureCredit();
- ret.m_watchonly_immature += wtx.GetImmatureWatchOnlyCredit();
- }
- }
- return ret;
-}
-
-CAmount CWallet::GetAvailableBalance(const CCoinControl* coinControl) const
-{
- LOCK(cs_wallet);
-
- CAmount balance = 0;
- std::vector<COutput> vCoins;
- AvailableCoins(vCoins, true, coinControl);
- for (const COutput& out : vCoins) {
- if (out.fSpendable) {
- balance += out.tx->tx->vout[out.i].nValue;
- }
- }
- return balance;
-}
-
-void CWallet::AvailableCoins(std::vector<COutput>& vCoins, bool fOnlySafe, const CCoinControl* coinControl, const CAmount& nMinimumAmount, const CAmount& nMaximumAmount, const CAmount& nMinimumSumAmount, const uint64_t nMaximumCount) const
-{
- AssertLockHeld(cs_wallet);
-
- vCoins.clear();
- CAmount nTotal = 0;
- // Either the WALLET_FLAG_AVOID_REUSE flag is not set (in which case we always allow), or we default to avoiding, and only in the case where
- // a coin control object is provided, and has the avoid address reuse flag set to false, do we allow already used addresses
- bool allow_used_addresses = !IsWalletFlagSet(WALLET_FLAG_AVOID_REUSE) || (coinControl && !coinControl->m_avoid_address_reuse);
- const int min_depth = {coinControl ? coinControl->m_min_depth : DEFAULT_MIN_DEPTH};
- const int max_depth = {coinControl ? coinControl->m_max_depth : DEFAULT_MAX_DEPTH};
-
- std::set<uint256> trusted_parents;
- for (const auto& entry : mapWallet)
- {
- const uint256& wtxid = entry.first;
- const CWalletTx& wtx = entry.second;
-
- if (!chain().checkFinalTx(*wtx.tx)) {
- continue;
- }
-
- if (wtx.IsImmatureCoinBase())
- continue;
-
- int nDepth = wtx.GetDepthInMainChain();
- if (nDepth < 0)
- continue;
-
- // We should not consider coins which aren't at least in our mempool
- // It's possible for these to be conflicted via ancestors which we may never be able to detect
- if (nDepth == 0 && !wtx.InMempool())
- continue;
-
- bool safeTx = IsTrusted(wtx, trusted_parents);
-
- // We should not consider coins from transactions that are replacing
- // other transactions.
- //
- // Example: There is a transaction A which is replaced by bumpfee
- // transaction B. In this case, we want to prevent creation of
- // a transaction B' which spends an output of B.
- //
- // Reason: If transaction A were initially confirmed, transactions B
- // and B' would no longer be valid, so the user would have to create
- // a new transaction C to replace B'. However, in the case of a
- // one-block reorg, transactions B' and C might BOTH be accepted,
- // when the user only wanted one of them. Specifically, there could
- // be a 1-block reorg away from the chain where transactions A and C
- // were accepted to another chain where B, B', and C were all
- // accepted.
- if (nDepth == 0 && wtx.mapValue.count("replaces_txid")) {
- safeTx = false;
- }
-
- // Similarly, we should not consider coins from transactions that
- // have been replaced. In the example above, we would want to prevent
- // creation of a transaction A' spending an output of A, because if
- // transaction B were initially confirmed, conflicting with A and
- // A', we wouldn't want to the user to create a transaction D
- // intending to replace A', but potentially resulting in a scenario
- // where A, A', and D could all be accepted (instead of just B and
- // D, or just A and A' like the user would want).
- if (nDepth == 0 && wtx.mapValue.count("replaced_by_txid")) {
- safeTx = false;
- }
-
- if (fOnlySafe && !safeTx) {
- continue;
- }
-
- if (nDepth < min_depth || nDepth > max_depth) {
- continue;
- }
-
- for (unsigned int i = 0; i < wtx.tx->vout.size(); i++) {
- // Only consider selected coins if add_inputs is false
- if (coinControl && !coinControl->m_add_inputs && !coinControl->IsSelected(COutPoint(entry.first, i))) {
- continue;
- }
-
- if (wtx.tx->vout[i].nValue < nMinimumAmount || wtx.tx->vout[i].nValue > nMaximumAmount)
- continue;
-
- if (coinControl && coinControl->HasSelected() && !coinControl->fAllowOtherInputs && !coinControl->IsSelected(COutPoint(entry.first, i)))
- continue;
-
- if (IsLockedCoin(entry.first, i))
- continue;
-
- if (IsSpent(wtxid, i))
- continue;
-
- isminetype mine = IsMine(wtx.tx->vout[i]);
-
- if (mine == ISMINE_NO) {
- continue;
- }
-
- if (!allow_used_addresses && IsSpentKey(wtxid, i)) {
- continue;
- }
-
- std::unique_ptr<SigningProvider> provider = GetSolvingProvider(wtx.tx->vout[i].scriptPubKey);
-
- bool solvable = provider ? IsSolvable(*provider, wtx.tx->vout[i].scriptPubKey) : false;
- bool spendable = ((mine & ISMINE_SPENDABLE) != ISMINE_NO) || (((mine & ISMINE_WATCH_ONLY) != ISMINE_NO) && (coinControl && coinControl->fAllowWatchOnly && solvable));
-
- vCoins.push_back(COutput(&wtx, i, nDepth, spendable, solvable, safeTx, (coinControl && coinControl->fAllowWatchOnly)));
-
- // Checks the sum amount of all UTXO's.
- if (nMinimumSumAmount != MAX_MONEY) {
- nTotal += wtx.tx->vout[i].nValue;
-
- if (nTotal >= nMinimumSumAmount) {
- return;
- }
- }
-
- // Checks the maximum number of UTXO's.
- if (nMaximumCount > 0 && vCoins.size() >= nMaximumCount) {
- return;
- }
- }
- }
-}
-
-std::map<CTxDestination, std::vector<COutput>> CWallet::ListCoins() const
-{
- AssertLockHeld(cs_wallet);
-
- std::map<CTxDestination, std::vector<COutput>> result;
- std::vector<COutput> availableCoins;
-
- AvailableCoins(availableCoins);
-
- for (const COutput& coin : availableCoins) {
- CTxDestination address;
- if ((coin.fSpendable || (IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && coin.fSolvable)) &&
- ExtractDestination(FindNonChangeParentOutput(*coin.tx->tx, coin.i).scriptPubKey, address)) {
- result[address].emplace_back(std::move(coin));
- }
- }
-
- std::vector<COutPoint> lockedCoins;
- ListLockedCoins(lockedCoins);
- // Include watch-only for LegacyScriptPubKeyMan wallets without private keys
- const bool include_watch_only = GetLegacyScriptPubKeyMan() && IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS);
- const isminetype is_mine_filter = include_watch_only ? ISMINE_WATCH_ONLY : ISMINE_SPENDABLE;
- for (const COutPoint& output : lockedCoins) {
- auto it = mapWallet.find(output.hash);
- if (it != mapWallet.end()) {
- int depth = it->second.GetDepthInMainChain();
- if (depth >= 0 && output.n < it->second.tx->vout.size() &&
- IsMine(it->second.tx->vout[output.n]) == is_mine_filter
- ) {
- CTxDestination address;
- if (ExtractDestination(FindNonChangeParentOutput(*it->second.tx, output.n).scriptPubKey, address)) {
- result[address].emplace_back(
- &it->second, output.n, depth, true /* spendable */, true /* solvable */, false /* safe */);
- }
- }
- }
- }
-
- return result;
-}
-
-const CTxOut& CWallet::FindNonChangeParentOutput(const CTransaction& tx, int output) const
-{
- AssertLockHeld(cs_wallet);
- const CTransaction* ptx = &tx;
- int n = output;
- while (IsChange(ptx->vout[n]) && ptx->vin.size() > 0) {
- const COutPoint& prevout = ptx->vin[0].prevout;
- auto it = mapWallet.find(prevout.hash);
- if (it == mapWallet.end() || it->second.tx->vout.size() <= prevout.n ||
- !IsMine(it->second.tx->vout[prevout.n])) {
- break;
- }
- ptx = it->second.tx.get();
- n = prevout.n;
- }
- return ptx->vout[n];
-}
-
-bool CWallet::SelectCoinsMinConf(const CAmount& nTargetValue, const CoinEligibilityFilter& eligibility_filter, std::vector<COutput> coins,
- std::set<CInputCoin>& setCoinsRet, CAmount& nValueRet, const CoinSelectionParams& coin_selection_params, bool& bnb_used) const
-{
- setCoinsRet.clear();
- nValueRet = 0;
-
- if (coin_selection_params.use_bnb) {
- // Get long term estimate
- FeeCalculation feeCalc;
- CCoinControl temp;
- temp.m_confirm_target = 1008;
- CFeeRate long_term_feerate = GetMinimumFeeRate(*this, temp, &feeCalc);
-
- // Get the feerate for effective value.
- // When subtracting the fee from the outputs, we want the effective feerate to be 0
- CFeeRate effective_feerate{0};
- if (!coin_selection_params.m_subtract_fee_outputs) {
- effective_feerate = coin_selection_params.effective_fee;
- }
-
- std::vector<OutputGroup> groups = GroupOutputs(coins, !coin_selection_params.m_avoid_partial_spends, effective_feerate, long_term_feerate, eligibility_filter, true /* positive_only */);
-
- // Calculate cost of change
- CAmount cost_of_change = GetDiscardRate(*this).GetFee(coin_selection_params.change_spend_size) + coin_selection_params.effective_fee.GetFee(coin_selection_params.change_output_size);
-
- // Calculate the fees for things that aren't inputs
- CAmount not_input_fees = coin_selection_params.effective_fee.GetFee(coin_selection_params.tx_noinputs_size);
- bnb_used = true;
- return SelectCoinsBnB(groups, nTargetValue, cost_of_change, setCoinsRet, nValueRet, not_input_fees);
- } else {
- std::vector<OutputGroup> groups = GroupOutputs(coins, !coin_selection_params.m_avoid_partial_spends, CFeeRate(0), CFeeRate(0), eligibility_filter, false /* positive_only */);
-
- bnb_used = false;
- return KnapsackSolver(nTargetValue, groups, setCoinsRet, nValueRet);
- }
-}
-
-bool CWallet::SelectCoins(const std::vector<COutput>& vAvailableCoins, const CAmount& nTargetValue, std::set<CInputCoin>& setCoinsRet, CAmount& nValueRet, const CCoinControl& coin_control, CoinSelectionParams& coin_selection_params, bool& bnb_used) const
-{
- std::vector<COutput> vCoins(vAvailableCoins);
- CAmount value_to_select = nTargetValue;
-
- // Default to bnb was not used. If we use it, we set it later
- bnb_used = false;
-
- // coin control -> return all selected outputs (we want all selected to go into the transaction for sure)
- if (coin_control.HasSelected() && !coin_control.fAllowOtherInputs)
- {
- for (const COutput& out : vCoins)
- {
- if (!out.fSpendable)
- continue;
- nValueRet += out.tx->tx->vout[out.i].nValue;
- setCoinsRet.insert(out.GetInputCoin());
- }
- return (nValueRet >= nTargetValue);
- }
-
- // calculate value from preset inputs and store them
- std::set<CInputCoin> setPresetCoins;
- CAmount nValueFromPresetInputs = 0;
-
- std::vector<COutPoint> vPresetInputs;
- coin_control.ListSelected(vPresetInputs);
- for (const COutPoint& outpoint : vPresetInputs)
- {
- std::map<uint256, CWalletTx>::const_iterator it = mapWallet.find(outpoint.hash);
- if (it != mapWallet.end())
- {
- const CWalletTx& wtx = it->second;
- // Clearly invalid input, fail
- if (wtx.tx->vout.size() <= outpoint.n) {
- return false;
- }
- // Just to calculate the marginal byte size
- CInputCoin coin(wtx.tx, outpoint.n, wtx.GetSpendSize(outpoint.n, false));
- nValueFromPresetInputs += coin.txout.nValue;
- if (coin.m_input_bytes <= 0) {
- return false; // Not solvable, can't estimate size for fee
- }
- coin.effective_value = coin.txout.nValue - coin_selection_params.effective_fee.GetFee(coin.m_input_bytes);
- if (coin_selection_params.use_bnb) {
- value_to_select -= coin.effective_value;
- } else {
- value_to_select -= coin.txout.nValue;
- }
- setPresetCoins.insert(coin);
- } else {
- return false; // TODO: Allow non-wallet inputs
- }
- }
-
- // remove preset inputs from vCoins
- for (std::vector<COutput>::iterator it = vCoins.begin(); it != vCoins.end() && coin_control.HasSelected();)
- {
- if (setPresetCoins.count(it->GetInputCoin()))
- it = vCoins.erase(it);
- else
- ++it;
- }
-
- unsigned int limit_ancestor_count = 0;
- unsigned int limit_descendant_count = 0;
- chain().getPackageLimits(limit_ancestor_count, limit_descendant_count);
- size_t max_ancestors = (size_t)std::max<int64_t>(1, limit_ancestor_count);
- size_t max_descendants = (size_t)std::max<int64_t>(1, limit_descendant_count);
- bool fRejectLongChains = gArgs.GetBoolArg("-walletrejectlongchains", DEFAULT_WALLET_REJECT_LONG_CHAINS);
-
- // form groups from remaining coins; note that preset coins will not
- // automatically have their associated (same address) coins included
- if (coin_control.m_avoid_partial_spends && vCoins.size() > OUTPUT_GROUP_MAX_ENTRIES) {
- // Cases where we have 11+ outputs all pointing to the same destination may result in
- // privacy leaks as they will potentially be deterministically sorted. We solve that by
- // explicitly shuffling the outputs before processing
- Shuffle(vCoins.begin(), vCoins.end(), FastRandomContext());
- }
- bool res = value_to_select <= 0 ||
- SelectCoinsMinConf(value_to_select, CoinEligibilityFilter(1, 6, 0), vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used) ||
- SelectCoinsMinConf(value_to_select, CoinEligibilityFilter(1, 1, 0), vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used) ||
- (m_spend_zero_conf_change && SelectCoinsMinConf(value_to_select, CoinEligibilityFilter(0, 1, 2), vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used)) ||
- (m_spend_zero_conf_change && SelectCoinsMinConf(value_to_select, CoinEligibilityFilter(0, 1, std::min((size_t)4, max_ancestors/3), std::min((size_t)4, max_descendants/3)), vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used)) ||
- (m_spend_zero_conf_change && SelectCoinsMinConf(value_to_select, CoinEligibilityFilter(0, 1, max_ancestors/2, max_descendants/2), vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used)) ||
- (m_spend_zero_conf_change && SelectCoinsMinConf(value_to_select, CoinEligibilityFilter(0, 1, max_ancestors-1, max_descendants-1, true /* include_partial_groups */), vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used)) ||
- (m_spend_zero_conf_change && !fRejectLongChains && SelectCoinsMinConf(value_to_select, CoinEligibilityFilter(0, 1, std::numeric_limits<uint64_t>::max(), std::numeric_limits<uint64_t>::max(), true /* include_partial_groups */), vCoins, setCoinsRet, nValueRet, coin_selection_params, bnb_used));
-
- // because SelectCoinsMinConf clears the setCoinsRet, we now add the possible inputs to the coinset
- util::insert(setCoinsRet, setPresetCoins);
-
- // add preset inputs to the total value selected
- nValueRet += nValueFromPresetInputs;
-
- return res;
-}
-
bool CWallet::SignTransaction(CMutableTransaction& tx) const
{
AssertLockHeld(cs_wallet);
@@ -2520,13 +1925,14 @@ bool CWallet::SignTransaction(CMutableTransaction& tx) const
return false;
}
const CWalletTx& wtx = mi->second;
- coins[input.prevout] = Coin(wtx.tx->vout[input.prevout.n], wtx.m_confirm.block_height, wtx.IsCoinBase());
+ int prev_height = wtx.state<TxStateConfirmed>() ? wtx.state<TxStateConfirmed>()->confirmed_block_height : 0;
+ coins[input.prevout] = Coin(wtx.tx->vout[input.prevout.n], prev_height, wtx.IsCoinBase());
}
- std::map<int, std::string> input_errors;
- return SignTransaction(tx, coins, SIGHASH_ALL, input_errors);
+ std::map<int, bilingual_str> input_errors;
+ return SignTransaction(tx, coins, SIGHASH_DEFAULT, input_errors);
}
-bool CWallet::SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors) const
+bool CWallet::SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors) const
{
// Try to sign with all ScriptPubKeyMans
for (ScriptPubKeyMan* spk_man : GetAllScriptPubKeyMans()) {
@@ -2541,11 +1947,12 @@ bool CWallet::SignTransaction(CMutableTransaction& tx, const std::map<COutPoint,
return false;
}
-TransactionError CWallet::FillPSBT(PartiallySignedTransaction& psbtx, bool& complete, int sighash_type, bool sign, bool bip32derivs, size_t * n_signed) const
+TransactionError CWallet::FillPSBT(PartiallySignedTransaction& psbtx, bool& complete, int sighash_type, bool sign, bool bip32derivs, size_t * n_signed, bool finalize) const
{
if (n_signed) {
*n_signed = 0;
}
+ const PrecomputedTransactionData txdata = PrecomputePSBTData(psbtx);
LOCK(cs_wallet);
// Get all of the previous transactions
for (unsigned int i = 0; i < psbtx.tx->vin.size(); ++i) {
@@ -2572,7 +1979,7 @@ TransactionError CWallet::FillPSBT(PartiallySignedTransaction& psbtx, bool& comp
// Fill in information from ScriptPubKeyMans
for (ScriptPubKeyMan* spk_man : GetAllScriptPubKeyMans()) {
int n_signed_this_spkm = 0;
- TransactionError res = spk_man->FillPSBT(psbtx, sighash_type, sign, bip32derivs, &n_signed_this_spkm);
+ TransactionError res = spk_man->FillPSBT(psbtx, txdata, sighash_type, sign, bip32derivs, &n_signed_this_spkm, finalize);
if (res != TransactionError::OK) {
return res;
}
@@ -2603,544 +2010,67 @@ SigningResult CWallet::SignMessage(const std::string& message, const PKHash& pkh
return SigningResult::PRIVATE_KEY_NOT_AVAILABLE;
}
-bool CWallet::FundTransaction(CMutableTransaction& tx, CAmount& nFeeRet, int& nChangePosInOut, bilingual_str& error, bool lockUnspents, const std::set<int>& setSubtractFeeFromOutputs, CCoinControl coinControl)
-{
- std::vector<CRecipient> vecSend;
-
- // Turn the txout set into a CRecipient vector.
- for (size_t idx = 0; idx < tx.vout.size(); idx++) {
- const CTxOut& txOut = tx.vout[idx];
- CRecipient recipient = {txOut.scriptPubKey, txOut.nValue, setSubtractFeeFromOutputs.count(idx) == 1};
- vecSend.push_back(recipient);
- }
-
- coinControl.fAllowOtherInputs = true;
-
- for (const CTxIn& txin : tx.vin) {
- coinControl.Select(txin.prevout);
- }
-
- // Acquire the locks to prevent races to the new locked unspents between the
- // CreateTransaction call and LockCoin calls (when lockUnspents is true).
- LOCK(cs_wallet);
-
- CTransactionRef tx_new;
- FeeCalculation fee_calc_out;
- if (!CreateTransaction(vecSend, tx_new, nFeeRet, nChangePosInOut, error, coinControl, fee_calc_out, false)) {
- return false;
- }
-
- if (nChangePosInOut != -1) {
- tx.vout.insert(tx.vout.begin() + nChangePosInOut, tx_new->vout[nChangePosInOut]);
- }
-
- // Copy output sizes from new transaction; they may have had the fee
- // subtracted from them.
- for (unsigned int idx = 0; idx < tx.vout.size(); idx++) {
- tx.vout[idx].nValue = tx_new->vout[idx].nValue;
- }
-
- // Add new txins while keeping original txin scriptSig/order.
- for (const CTxIn& txin : tx_new->vin) {
- if (!coinControl.IsSelected(txin.prevout)) {
- tx.vin.push_back(txin);
-
- }
- if (lockUnspents) {
- LockCoin(txin.prevout);
- }
-
- }
-
- return true;
-}
-
-static bool IsCurrentForAntiFeeSniping(interfaces::Chain& chain, const uint256& block_hash)
-{
- if (chain.isInitialBlockDownload()) {
- return false;
- }
- constexpr int64_t MAX_ANTI_FEE_SNIPING_TIP_AGE = 8 * 60 * 60; // in seconds
- int64_t block_time;
- CHECK_NONFATAL(chain.findBlock(block_hash, FoundBlock().time(block_time)));
- if (block_time < (GetTime() - MAX_ANTI_FEE_SNIPING_TIP_AGE)) {
- return false;
- }
- return true;
-}
-
-/**
- * Return a height-based locktime for new transactions (uses the height of the
- * current chain tip unless we are not synced with the current chain
- */
-static uint32_t GetLocktimeForNewTransaction(interfaces::Chain& chain, const uint256& block_hash, int block_height)
-{
- uint32_t locktime;
- // Discourage fee sniping.
- //
- // For a large miner the value of the transactions in the best block and
- // the mempool can exceed the cost of deliberately attempting to mine two
- // blocks to orphan the current best block. By setting nLockTime such that
- // only the next block can include the transaction, we discourage this
- // practice as the height restricted and limited blocksize gives miners
- // considering fee sniping fewer options for pulling off this attack.
- //
- // A simple way to think about this is from the wallet's point of view we
- // always want the blockchain to move forward. By setting nLockTime this
- // way we're basically making the statement that we only want this
- // transaction to appear in the next block; we don't want to potentially
- // encourage reorgs by allowing transactions to appear at lower heights
- // than the next block in forks of the best chain.
- //
- // Of course, the subsidy is high enough, and transaction volume low
- // enough, that fee sniping isn't a problem yet, but by implementing a fix
- // now we ensure code won't be written that makes assumptions about
- // nLockTime that preclude a fix later.
- if (IsCurrentForAntiFeeSniping(chain, block_hash)) {
- locktime = block_height;
-
- // Secondly occasionally randomly pick a nLockTime even further back, so
- // that transactions that are delayed after signing for whatever reason,
- // e.g. high-latency mix networks and some CoinJoin implementations, have
- // better privacy.
- if (GetRandInt(10) == 0)
- locktime = std::max(0, (int)locktime - GetRandInt(100));
- } else {
- // If our chain is lagging behind, we can't discourage fee sniping nor help
- // the privacy of high-latency transactions. To avoid leaking a potentially
- // unique "nLockTime fingerprint", set nLockTime to a constant.
- locktime = 0;
- }
- assert(locktime < LOCKTIME_THRESHOLD);
- return locktime;
-}
-
-OutputType CWallet::TransactionChangeType(const Optional<OutputType>& change_type, const std::vector<CRecipient>& vecSend) const
+OutputType CWallet::TransactionChangeType(const std::optional<OutputType>& change_type, const std::vector<CRecipient>& vecSend) const
{
// If -changetype is specified, always use that change type.
if (change_type) {
return *change_type;
}
- // if m_default_address_type is legacy, use legacy address as change (even
- // if some of the outputs are P2WPKH or P2WSH).
+ // if m_default_address_type is legacy, use legacy address as change.
if (m_default_address_type == OutputType::LEGACY) {
return OutputType::LEGACY;
}
- // if any destination is P2WPKH or P2WSH, use P2WPKH for the change
- // output.
- for (const auto& recipient : vecSend) {
- // Check if any destination contains a witness program:
- int witnessversion = 0;
- std::vector<unsigned char> witnessprogram;
- if (recipient.scriptPubKey.IsWitnessProgram(witnessversion, witnessprogram)) {
- return OutputType::BECH32;
- }
- }
-
- // else use m_default_address_type for change
- return m_default_address_type;
-}
-
-bool CWallet::CreateTransactionInternal(
- const std::vector<CRecipient>& vecSend,
- CTransactionRef& tx,
- CAmount& nFeeRet,
- int& nChangePosInOut,
- bilingual_str& error,
- const CCoinControl& coin_control,
- FeeCalculation& fee_calc_out,
- bool sign)
-{
- CAmount nValue = 0;
- const OutputType change_type = TransactionChangeType(coin_control.m_change_type ? *coin_control.m_change_type : m_default_change_type, vecSend);
- ReserveDestination reservedest(this, change_type);
- int nChangePosRequest = nChangePosInOut;
- unsigned int nSubtractFeeFromAmount = 0;
- for (const auto& recipient : vecSend)
- {
- if (nValue < 0 || recipient.nAmount < 0)
- {
- error = _("Transaction amounts must not be negative");
- return false;
- }
- nValue += recipient.nAmount;
-
- if (recipient.fSubtractFeeFromAmount)
- nSubtractFeeFromAmount++;
- }
- if (vecSend.empty())
- {
- error = _("Transaction must have at least one recipient");
- return false;
- }
-
- CMutableTransaction txNew;
- FeeCalculation feeCalc;
- CAmount nFeeNeeded;
- int nBytes;
- {
- std::set<CInputCoin> setCoins;
- LOCK(cs_wallet);
- txNew.nLockTime = GetLocktimeForNewTransaction(chain(), GetLastBlockHash(), GetLastBlockHeight());
- {
- std::vector<COutput> vAvailableCoins;
- AvailableCoins(vAvailableCoins, true, &coin_control, 1, MAX_MONEY, MAX_MONEY, 0);
- CoinSelectionParams coin_selection_params; // Parameters for coin selection, init with dummy
- coin_selection_params.m_avoid_partial_spends = coin_control.m_avoid_partial_spends;
-
- // Create change script that will be used if we need change
- // TODO: pass in scriptChange instead of reservedest so
- // change transaction isn't always pay-to-bitcoin-address
- CScript scriptChange;
-
- // coin control: send change to custom address
- if (!std::get_if<CNoDestination>(&coin_control.destChange)) {
- scriptChange = GetScriptForDestination(coin_control.destChange);
- } else { // no coin control: send change to newly generated address
- // Note: We use a new key here to keep it from being obvious which side is the change.
- // The drawback is that by not reusing a previous key, the change may be lost if a
- // backup is restored, if the backup doesn't have the new private key for the change.
- // If we reused the old key, it would be possible to add code to look for and
- // rediscover unknown transactions that were written with keys of ours to recover
- // post-backup change.
-
- // Reserve a new key pair from key pool. If it fails, provide a dummy
- // destination in case we don't need change.
- CTxDestination dest;
- if (!reservedest.GetReservedDestination(dest, true)) {
- error = _("Transaction needs a change address, but we can't generate it. Please call keypoolrefill first.");
- }
- scriptChange = GetScriptForDestination(dest);
- // A valid destination implies a change script (and
- // vice-versa). An empty change script will abort later, if the
- // change keypool ran out, but change is required.
- CHECK_NONFATAL(IsValidDestination(dest) != scriptChange.empty());
- }
- CTxOut change_prototype_txout(0, scriptChange);
- coin_selection_params.change_output_size = GetSerializeSize(change_prototype_txout);
-
- CFeeRate discard_rate = GetDiscardRate(*this);
-
- // Get the fee rate to use effective values in coin selection
- CFeeRate nFeeRateNeeded = GetMinimumFeeRate(*this, coin_control, &feeCalc);
- // Do not, ever, assume that it's fine to change the fee rate if the user has explicitly
- // provided one
- if (coin_control.m_feerate && nFeeRateNeeded > *coin_control.m_feerate) {
- error = strprintf(_("Fee rate (%s) is lower than the minimum fee rate setting (%s)"), coin_control.m_feerate->ToString(FeeEstimateMode::SAT_VB), nFeeRateNeeded.ToString(FeeEstimateMode::SAT_VB));
- return false;
- }
-
- nFeeRet = 0;
- bool pick_new_inputs = true;
- CAmount nValueIn = 0;
-
- // BnB selector is the only selector used when this is true.
- // That should only happen on the first pass through the loop.
- coin_selection_params.use_bnb = true;
- coin_selection_params.m_subtract_fee_outputs = nSubtractFeeFromAmount != 0; // If we are doing subtract fee from recipient, don't use effective values
- // Start with no fee and loop until there is enough fee
- while (true)
- {
- nChangePosInOut = nChangePosRequest;
- txNew.vin.clear();
- txNew.vout.clear();
- bool fFirst = true;
-
- CAmount nValueToSelect = nValue;
- if (nSubtractFeeFromAmount == 0)
- nValueToSelect += nFeeRet;
-
- // vouts to the payees
- if (!coin_selection_params.m_subtract_fee_outputs) {
- coin_selection_params.tx_noinputs_size = 11; // Static vsize overhead + outputs vsize. 4 nVersion, 4 nLocktime, 1 input count, 1 output count, 1 witness overhead (dummy, flag, stack size)
- }
- for (const auto& recipient : vecSend)
- {
- CTxOut txout(recipient.nAmount, recipient.scriptPubKey);
-
- if (recipient.fSubtractFeeFromAmount)
- {
- assert(nSubtractFeeFromAmount != 0);
- txout.nValue -= nFeeRet / nSubtractFeeFromAmount; // Subtract fee equally from each selected recipient
-
- if (fFirst) // first receiver pays the remainder not divisible by output count
- {
- fFirst = false;
- txout.nValue -= nFeeRet % nSubtractFeeFromAmount;
- }
- }
- // Include the fee cost for outputs. Note this is only used for BnB right now
- if (!coin_selection_params.m_subtract_fee_outputs) {
- coin_selection_params.tx_noinputs_size += ::GetSerializeSize(txout, PROTOCOL_VERSION);
- }
-
- if (IsDust(txout, chain().relayDustFee()))
- {
- if (recipient.fSubtractFeeFromAmount && nFeeRet > 0)
- {
- if (txout.nValue < 0)
- error = _("The transaction amount is too small to pay the fee");
- else
- error = _("The transaction amount is too small to send after the fee has been deducted");
- }
- else
- error = _("Transaction amount too small");
- return false;
- }
- txNew.vout.push_back(txout);
- }
-
- // Choose coins to use
- bool bnb_used = false;
- if (pick_new_inputs) {
- nValueIn = 0;
- setCoins.clear();
- int change_spend_size = CalculateMaximumSignedInputSize(change_prototype_txout, this);
- // If the wallet doesn't know how to sign change output, assume p2sh-p2wpkh
- // as lower-bound to allow BnB to do it's thing
- if (change_spend_size == -1) {
- coin_selection_params.change_spend_size = DUMMY_NESTED_P2WPKH_INPUT_SIZE;
- } else {
- coin_selection_params.change_spend_size = (size_t)change_spend_size;
- }
- coin_selection_params.effective_fee = nFeeRateNeeded;
- if (!SelectCoins(vAvailableCoins, nValueToSelect, setCoins, nValueIn, coin_control, coin_selection_params, bnb_used))
- {
- // If BnB was used, it was the first pass. No longer the first pass and continue loop with knapsack.
- if (bnb_used) {
- coin_selection_params.use_bnb = false;
- continue;
- }
- else {
- error = _("Insufficient funds");
- return false;
- }
- }
- } else {
- bnb_used = false;
- }
-
- const CAmount nChange = nValueIn - nValueToSelect;
- if (nChange > 0)
- {
- // Fill a vout to ourself
- CTxOut newTxOut(nChange, scriptChange);
-
- // Never create dust outputs; if we would, just
- // add the dust to the fee.
- // The nChange when BnB is used is always going to go to fees.
- if (IsDust(newTxOut, discard_rate) || bnb_used)
- {
- nChangePosInOut = -1;
- nFeeRet += nChange;
- }
- else
- {
- if (nChangePosInOut == -1)
- {
- // Insert change txn at random position:
- nChangePosInOut = GetRandInt(txNew.vout.size()+1);
- }
- else if ((unsigned int)nChangePosInOut > txNew.vout.size())
- {
- error = _("Change index out of range");
- return false;
- }
-
- std::vector<CTxOut>::iterator position = txNew.vout.begin()+nChangePosInOut;
- txNew.vout.insert(position, newTxOut);
- }
- } else {
- nChangePosInOut = -1;
- }
-
- // Dummy fill vin for maximum size estimation
- //
- for (const auto& coin : setCoins) {
- txNew.vin.push_back(CTxIn(coin.outpoint,CScript()));
- }
-
- nBytes = CalculateMaximumSignedTxSize(CTransaction(txNew), this, coin_control.fAllowWatchOnly);
- if (nBytes < 0) {
- error = _("Signing transaction failed");
- return false;
- }
-
- nFeeNeeded = GetMinimumFee(*this, nBytes, coin_control, &feeCalc);
- if (feeCalc.reason == FeeReason::FALLBACK && !m_allow_fallback_fee) {
- // eventually allow a fallback fee
- error = _("Fee estimation failed. Fallbackfee is disabled. Wait a few blocks or enable -fallbackfee.");
- return false;
- }
-
- if (nFeeRet >= nFeeNeeded) {
- // Reduce fee to only the needed amount if possible. This
- // prevents potential overpayment in fees if the coins
- // selected to meet nFeeNeeded result in a transaction that
- // requires less fee than the prior iteration.
-
- // If we have no change and a big enough excess fee, then
- // try to construct transaction again only without picking
- // new inputs. We now know we only need the smaller fee
- // (because of reduced tx size) and so we should add a
- // change output. Only try this once.
- if (nChangePosInOut == -1 && nSubtractFeeFromAmount == 0 && pick_new_inputs) {
- unsigned int tx_size_with_change = nBytes + coin_selection_params.change_output_size + 2; // Add 2 as a buffer in case increasing # of outputs changes compact size
- CAmount fee_needed_with_change = GetMinimumFee(*this, tx_size_with_change, coin_control, nullptr);
- CAmount minimum_value_for_change = GetDustThreshold(change_prototype_txout, discard_rate);
- if (nFeeRet >= fee_needed_with_change + minimum_value_for_change) {
- pick_new_inputs = false;
- nFeeRet = fee_needed_with_change;
- continue;
- }
- }
-
- // If we have change output already, just increase it
- if (nFeeRet > nFeeNeeded && nChangePosInOut != -1 && nSubtractFeeFromAmount == 0) {
- CAmount extraFeePaid = nFeeRet - nFeeNeeded;
- std::vector<CTxOut>::iterator change_position = txNew.vout.begin()+nChangePosInOut;
- change_position->nValue += extraFeePaid;
- nFeeRet -= extraFeePaid;
- }
- break; // Done, enough fee included.
- }
- else if (!pick_new_inputs) {
- // This shouldn't happen, we should have had enough excess
- // fee to pay for the new output and still meet nFeeNeeded
- // Or we should have just subtracted fee from recipients and
- // nFeeNeeded should not have changed
- error = _("Transaction fee and change calculation failed");
- return false;
- }
-
- // Try to reduce change to include necessary fee
- if (nChangePosInOut != -1 && nSubtractFeeFromAmount == 0) {
- CAmount additionalFeeNeeded = nFeeNeeded - nFeeRet;
- std::vector<CTxOut>::iterator change_position = txNew.vout.begin()+nChangePosInOut;
- // Only reduce change if remaining amount is still a large enough output.
- if (change_position->nValue >= MIN_FINAL_CHANGE + additionalFeeNeeded) {
- change_position->nValue -= additionalFeeNeeded;
- nFeeRet += additionalFeeNeeded;
- break; // Done, able to increase fee from change
- }
- }
-
- // If subtracting fee from recipients, we now know what fee we
- // need to subtract, we have no reason to reselect inputs
- if (nSubtractFeeFromAmount > 0) {
- pick_new_inputs = false;
- }
-
- // Include more fee and try again.
- nFeeRet = nFeeNeeded;
- coin_selection_params.use_bnb = false;
- continue;
- }
-
- // Give up if change keypool ran out and change is required
- if (scriptChange.empty() && nChangePosInOut != -1) {
- return false;
- }
- }
+ bool any_tr{false};
+ bool any_wpkh{false};
+ bool any_sh{false};
+ bool any_pkh{false};
- // Shuffle selected coins and fill in final vin
- txNew.vin.clear();
- std::vector<CInputCoin> selected_coins(setCoins.begin(), setCoins.end());
- Shuffle(selected_coins.begin(), selected_coins.end(), FastRandomContext());
-
- // Note how the sequence number is set to non-maxint so that
- // the nLockTime set above actually works.
- //
- // BIP125 defines opt-in RBF as any nSequence < maxint-1, so
- // we use the highest possible value in that range (maxint-2)
- // to avoid conflicting with other possible uses of nSequence,
- // and in the spirit of "smallest possible change from prior
- // behavior."
- const uint32_t nSequence = coin_control.m_signal_bip125_rbf.value_or(m_signal_rbf) ? MAX_BIP125_RBF_SEQUENCE : (CTxIn::SEQUENCE_FINAL - 1);
- for (const auto& coin : selected_coins) {
- txNew.vin.push_back(CTxIn(coin.outpoint, CScript(), nSequence));
- }
-
- if (sign && !SignTransaction(txNew)) {
- error = _("Signing transaction failed");
- return false;
- }
-
- // Return the constructed transaction data.
- tx = MakeTransactionRef(std::move(txNew));
-
- // Limit size
- if (GetTransactionWeight(*tx) > MAX_STANDARD_TX_WEIGHT)
- {
- error = _("Transaction too large");
- return false;
- }
+ for (const auto& recipient : vecSend) {
+ std::vector<std::vector<uint8_t>> dummy;
+ const TxoutType type{Solver(recipient.scriptPubKey, dummy)};
+ if (type == TxoutType::WITNESS_V1_TAPROOT) {
+ any_tr = true;
+ } else if (type == TxoutType::WITNESS_V0_KEYHASH) {
+ any_wpkh = true;
+ } else if (type == TxoutType::SCRIPTHASH) {
+ any_sh = true;
+ } else if (type == TxoutType::PUBKEYHASH) {
+ any_pkh = true;
+ }
+ }
+
+ const bool has_bech32m_spkman(GetScriptPubKeyMan(OutputType::BECH32M, /*internal=*/true));
+ if (has_bech32m_spkman && any_tr) {
+ // Currently tr is the only type supported by the BECH32M spkman
+ return OutputType::BECH32M;
+ }
+ const bool has_bech32_spkman(GetScriptPubKeyMan(OutputType::BECH32, /*internal=*/true));
+ if (has_bech32_spkman && any_wpkh) {
+ // Currently wpkh is the only type supported by the BECH32 spkman
+ return OutputType::BECH32;
+ }
+ const bool has_p2sh_segwit_spkman(GetScriptPubKeyMan(OutputType::P2SH_SEGWIT, /*internal=*/true));
+ if (has_p2sh_segwit_spkman && any_sh) {
+ // Currently sh_wpkh is the only type supported by the P2SH_SEGWIT spkman
+ // As of 2021 about 80% of all SH are wrapping WPKH, so use that
+ return OutputType::P2SH_SEGWIT;
+ }
+ const bool has_legacy_spkman(GetScriptPubKeyMan(OutputType::LEGACY, /*internal=*/true));
+ if (has_legacy_spkman && any_pkh) {
+ // Currently pkh is the only type supported by the LEGACY spkman
+ return OutputType::LEGACY;
}
- if (nFeeRet > m_default_max_tx_fee) {
- error = TransactionErrorString(TransactionError::MAX_FEE_EXCEEDED);
- return false;
+ if (has_bech32m_spkman) {
+ return OutputType::BECH32M;
}
-
- if (gArgs.GetBoolArg("-walletrejectlongchains", DEFAULT_WALLET_REJECT_LONG_CHAINS)) {
- // Lastly, ensure this tx will pass the mempool's chain limits
- if (!chain().checkChainLimits(tx)) {
- error = _("Transaction has too long of a mempool chain");
- return false;
- }
+ if (has_bech32_spkman) {
+ return OutputType::BECH32;
}
-
- // Before we return success, we assume any change key will be used to prevent
- // accidental re-use.
- reservedest.KeepDestination();
- fee_calc_out = feeCalc;
-
- WalletLogPrintf("Fee Calculation: Fee:%d Bytes:%u Needed:%d Tgt:%d (requested %d) Reason:\"%s\" Decay %.5f: Estimation: (%g - %g) %.2f%% %.1f/(%.1f %d mem %.1f out) Fail: (%g - %g) %.2f%% %.1f/(%.1f %d mem %.1f out)\n",
- nFeeRet, nBytes, nFeeNeeded, feeCalc.returnedTarget, feeCalc.desiredTarget, StringForFeeReason(feeCalc.reason), feeCalc.est.decay,
- feeCalc.est.pass.start, feeCalc.est.pass.end,
- (feeCalc.est.pass.totalConfirmed + feeCalc.est.pass.inMempool + feeCalc.est.pass.leftMempool) > 0.0 ? 100 * feeCalc.est.pass.withinTarget / (feeCalc.est.pass.totalConfirmed + feeCalc.est.pass.inMempool + feeCalc.est.pass.leftMempool) : 0.0,
- feeCalc.est.pass.withinTarget, feeCalc.est.pass.totalConfirmed, feeCalc.est.pass.inMempool, feeCalc.est.pass.leftMempool,
- feeCalc.est.fail.start, feeCalc.est.fail.end,
- (feeCalc.est.fail.totalConfirmed + feeCalc.est.fail.inMempool + feeCalc.est.fail.leftMempool) > 0.0 ? 100 * feeCalc.est.fail.withinTarget / (feeCalc.est.fail.totalConfirmed + feeCalc.est.fail.inMempool + feeCalc.est.fail.leftMempool) : 0.0,
- feeCalc.est.fail.withinTarget, feeCalc.est.fail.totalConfirmed, feeCalc.est.fail.inMempool, feeCalc.est.fail.leftMempool);
- return true;
-}
-
-bool CWallet::CreateTransaction(
- const std::vector<CRecipient>& vecSend,
- CTransactionRef& tx,
- CAmount& nFeeRet,
- int& nChangePosInOut,
- bilingual_str& error,
- const CCoinControl& coin_control,
- FeeCalculation& fee_calc_out,
- bool sign)
-{
- int nChangePosIn = nChangePosInOut;
- Assert(!tx); // tx is an out-param. TODO change the return type from bool to tx (or nullptr)
- bool res = CreateTransactionInternal(vecSend, tx, nFeeRet, nChangePosInOut, error, coin_control, fee_calc_out, sign);
- // try with avoidpartialspends unless it's enabled already
- if (res && nFeeRet > 0 /* 0 means non-functional fee rate estimation */ && m_max_aps_fee > -1 && !coin_control.m_avoid_partial_spends) {
- CCoinControl tmp_cc = coin_control;
- tmp_cc.m_avoid_partial_spends = true;
- CAmount nFeeRet2;
- CTransactionRef tx2;
- int nChangePosInOut2 = nChangePosIn;
- bilingual_str error2; // fired and forgotten; if an error occurs, we discard the results
- if (CreateTransactionInternal(vecSend, tx2, nFeeRet2, nChangePosInOut2, error2, tmp_cc, fee_calc_out, sign)) {
- // if fee of this alternative one is within the range of the max fee, we use this one
- const bool use_aps = nFeeRet2 <= nFeeRet + m_max_aps_fee;
- WalletLogPrintf("Fee non-grouped = %lld, grouped = %lld, using %s\n", nFeeRet, nFeeRet2, use_aps ? "grouped" : "non-grouped");
- if (use_aps) {
- tx = tx2;
- nFeeRet = nFeeRet2;
- nChangePosInOut = nChangePosInOut2;
- }
- }
- }
- return res;
+ // else use m_default_address_type for change
+ return m_default_address_type;
}
void CWallet::CommitTransaction(CTransactionRef tx, mapValue_t mapValue, std::vector<std::pair<std::string, std::string>> orderForm)
@@ -3150,7 +2080,7 @@ void CWallet::CommitTransaction(CTransactionRef tx, mapValue_t mapValue, std::ve
// Add tx to wallet, because if it has change it's also ours,
// otherwise just for transaction history.
- AddToWallet(tx, {}, [&](CWalletTx& wtx, bool new_tx) {
+ AddToWallet(tx, TxStateInactive{}, [&](CWalletTx& wtx, bool new_tx) {
CHECK_NONFATAL(wtx.mapValue.empty());
CHECK_NONFATAL(wtx.vOrderForm.empty());
wtx.mapValue = std::move(mapValue);
@@ -3164,11 +2094,11 @@ void CWallet::CommitTransaction(CTransactionRef tx, mapValue_t mapValue, std::ve
for (const CTxIn& txin : tx->vin) {
CWalletTx &coin = mapWallet.at(txin.prevout.hash);
coin.MarkDirty();
- NotifyTransactionChanged(this, coin.GetHash(), CT_UPDATED);
+ NotifyTransactionChanged(coin.GetHash(), CT_UPDATED);
}
// Get the inserted-CWalletTx from mapWallet so that the
- // fInMempool flag is cached properly
+ // wtx cached mempool state is updated correctly
CWalletTx& wtx = mapWallet.at(tx->GetHash());
if (!fBroadcastTransactions) {
@@ -3177,17 +2107,16 @@ void CWallet::CommitTransaction(CTransactionRef tx, mapValue_t mapValue, std::ve
}
std::string err_string;
- if (!wtx.SubmitMemoryPoolAndRelay(err_string, true)) {
+ if (!SubmitTxMemoryPoolAndRelay(wtx, err_string, true)) {
WalletLogPrintf("CommitTransaction(): Transaction cannot be broadcast immediately, %s\n", err_string);
// TODO: if we expect the failure to be long term or permanent, instead delete wtx from the wallet and return failure.
}
}
-DBErrors CWallet::LoadWallet(bool& fFirstRunRet)
+DBErrors CWallet::LoadWallet()
{
LOCK(cs_wallet);
- fFirstRunRet = false;
DBErrors nLoadWalletRet = WalletBatch(GetDatabase()).LoadWallet(this);
if (nLoadWalletRet == DBErrors::NEED_REWRITE)
{
@@ -3199,17 +2128,12 @@ DBErrors CWallet::LoadWallet(bool& fFirstRunRet)
}
}
- // This wallet is in its first run if there are no ScriptPubKeyMans and it isn't blank or no privkeys
- fFirstRunRet = m_spk_managers.empty() && !IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) && !IsWalletFlagSet(WALLET_FLAG_BLANK_WALLET);
- if (fFirstRunRet) {
+ if (m_spk_managers.empty()) {
assert(m_external_spk_managers.empty());
assert(m_internal_spk_managers.empty());
}
- if (nLoadWalletRet != DBErrors::LOAD_OK)
- return nLoadWalletRet;
-
- return DBErrors::LOAD_OK;
+ return nLoadWalletRet;
}
DBErrors CWallet::ZapSelectTx(std::vector<uint256>& vHashIn, std::vector<uint256>& vHashOut)
@@ -3222,7 +2146,7 @@ DBErrors CWallet::ZapSelectTx(std::vector<uint256>& vHashIn, std::vector<uint256
for (const auto& txin : it->second.tx->vin)
mapTxSpends.erase(txin.prevout);
mapWallet.erase(it);
- NotifyTransactionChanged(this, hash, CT_DELETED);
+ NotifyTransactionChanged(hash, CT_DELETED);
}
if (nZapSelectTxRet == DBErrors::NEED_REWRITE)
@@ -3256,8 +2180,8 @@ bool CWallet::SetAddressBookWithDB(WalletBatch& batch, const CTxDestination& add
m_address_book[address].purpose = strPurpose;
is_mine = IsMine(address) != ISMINE_NO;
}
- NotifyAddressBookChanged(this, address, strName, is_mine,
- strPurpose, (fUpdated ? CT_UPDATED : CT_NEW) );
+ NotifyAddressBookChanged(address, strName, is_mine,
+ strPurpose, (fUpdated ? CT_UPDATED : CT_NEW));
if (!strPurpose.empty() && !batch.WritePurpose(EncodeDestination(address), strPurpose))
return false;
return batch.WriteName(EncodeDestination(address), strName);
@@ -3292,7 +2216,7 @@ bool CWallet::DelAddressBook(const CTxDestination& address)
is_mine = IsMine(address) != ISMINE_NO;
}
- NotifyAddressBookChanged(this, address, "", is_mine, "", CT_DELETED);
+ NotifyAddressBookChanged(address, "", is_mine, "", CT_DELETED);
batch.ErasePurpose(EncodeDestination(address));
return batch.EraseName(EncodeDestination(address));
@@ -3302,9 +2226,14 @@ size_t CWallet::KeypoolCountExternalKeys() const
{
AssertLockHeld(cs_wallet);
+ auto legacy_spk_man = GetLegacyScriptPubKeyMan();
+ if (legacy_spk_man) {
+ return legacy_spk_man->KeypoolCountExternalKeys();
+ }
+
unsigned int count = 0;
- for (auto spk_man : GetActiveScriptPubKeyMans()) {
- count += spk_man->KeypoolCountExternalKeys();
+ for (auto spk_man : m_external_spk_managers) {
+ count += spk_man.second->GetKeyPoolSize();
}
return count;
@@ -3331,7 +2260,7 @@ bool CWallet::TopUpKeyPool(unsigned int kpSize)
return res;
}
-bool CWallet::GetNewDestination(const OutputType type, const std::string label, CTxDestination& dest, std::string& error)
+bool CWallet::GetNewDestination(const OutputType type, const std::string label, CTxDestination& dest, bilingual_str& error)
{
LOCK(cs_wallet);
error.clear();
@@ -3341,7 +2270,7 @@ bool CWallet::GetNewDestination(const OutputType type, const std::string label,
spk_man->TopUp();
result = spk_man->GetNewDestination(type, dest, error);
} else {
- error = strprintf("Error: No %s addresses available.", FormatOutputType(type));
+ error = strprintf(_("Error: No %s addresses available."), FormatOutputType(type));
}
if (result) {
SetAddressBook(dest, label, "receive");
@@ -3350,14 +2279,13 @@ bool CWallet::GetNewDestination(const OutputType type, const std::string label,
return result;
}
-bool CWallet::GetNewChangeDestination(const OutputType type, CTxDestination& dest, std::string& error)
+bool CWallet::GetNewChangeDestination(const OutputType type, CTxDestination& dest, bilingual_str& error)
{
LOCK(cs_wallet);
error.clear();
ReserveDestination reservedest(this, type);
- if (!reservedest.GetReservedDestination(dest, true)) {
- error = _("Error: Keypool ran out, please call keypoolrefill first").translated;
+ if (!reservedest.GetReservedDestination(dest, true, error)) {
return false;
}
@@ -3365,14 +2293,18 @@ bool CWallet::GetNewChangeDestination(const OutputType type, CTxDestination& des
return true;
}
-int64_t CWallet::GetOldestKeyPoolTime() const
+std::optional<int64_t> CWallet::GetOldestKeyPoolTime() const
{
LOCK(cs_wallet);
- int64_t oldestKey = std::numeric_limits<int64_t>::max();
+ if (m_spk_managers.empty()) {
+ return std::nullopt;
+ }
+
+ std::optional<int64_t> oldest_key{std::numeric_limits<int64_t>::max()};
for (const auto& spk_man_pair : m_spk_managers) {
- oldestKey = std::min(oldestKey, spk_man_pair.second->GetOldestKeyPoolTime());
+ oldest_key = std::min(oldest_key, spk_man_pair.second->GetOldestKeyPoolTime());
}
- return oldestKey;
+ return oldest_key;
}
void CWallet::MarkDestinationsDirty(const std::set<CTxDestination>& destinations) {
@@ -3389,140 +2321,9 @@ void CWallet::MarkDestinationsDirty(const std::set<CTxDestination>& destinations
}
}
-std::map<CTxDestination, CAmount> CWallet::GetAddressBalances() const
-{
- std::map<CTxDestination, CAmount> balances;
-
- {
- LOCK(cs_wallet);
- std::set<uint256> trusted_parents;
- for (const auto& walletEntry : mapWallet)
- {
- const CWalletTx& wtx = walletEntry.second;
-
- if (!IsTrusted(wtx, trusted_parents))
- continue;
-
- if (wtx.IsImmatureCoinBase())
- continue;
-
- int nDepth = wtx.GetDepthInMainChain();
- if (nDepth < (wtx.IsFromMe(ISMINE_ALL) ? 0 : 1))
- continue;
-
- for (unsigned int i = 0; i < wtx.tx->vout.size(); i++)
- {
- CTxDestination addr;
- if (!IsMine(wtx.tx->vout[i]))
- continue;
- if(!ExtractDestination(wtx.tx->vout[i].scriptPubKey, addr))
- continue;
-
- CAmount n = IsSpent(walletEntry.first, i) ? 0 : wtx.tx->vout[i].nValue;
- balances[addr] += n;
- }
- }
- }
-
- return balances;
-}
-
-std::set< std::set<CTxDestination> > CWallet::GetAddressGroupings() const
-{
- AssertLockHeld(cs_wallet);
- std::set< std::set<CTxDestination> > groupings;
- std::set<CTxDestination> grouping;
-
- for (const auto& walletEntry : mapWallet)
- {
- const CWalletTx& wtx = walletEntry.second;
-
- if (wtx.tx->vin.size() > 0)
- {
- bool any_mine = false;
- // group all input addresses with each other
- for (const CTxIn& txin : wtx.tx->vin)
- {
- CTxDestination address;
- if(!IsMine(txin)) /* If this input isn't mine, ignore it */
- continue;
- if(!ExtractDestination(mapWallet.at(txin.prevout.hash).tx->vout[txin.prevout.n].scriptPubKey, address))
- continue;
- grouping.insert(address);
- any_mine = true;
- }
-
- // group change with input addresses
- if (any_mine)
- {
- for (const CTxOut& txout : wtx.tx->vout)
- if (IsChange(txout))
- {
- CTxDestination txoutAddr;
- if(!ExtractDestination(txout.scriptPubKey, txoutAddr))
- continue;
- grouping.insert(txoutAddr);
- }
- }
- if (grouping.size() > 0)
- {
- groupings.insert(grouping);
- grouping.clear();
- }
- }
-
- // group lone addrs by themselves
- for (const auto& txout : wtx.tx->vout)
- if (IsMine(txout))
- {
- CTxDestination address;
- if(!ExtractDestination(txout.scriptPubKey, address))
- continue;
- grouping.insert(address);
- groupings.insert(grouping);
- grouping.clear();
- }
- }
-
- std::set< std::set<CTxDestination>* > uniqueGroupings; // a set of pointers to groups of addresses
- std::map< CTxDestination, std::set<CTxDestination>* > setmap; // map addresses to the unique group containing it
- for (std::set<CTxDestination> _grouping : groupings)
- {
- // make a set of all the groups hit by this new group
- std::set< std::set<CTxDestination>* > hits;
- std::map< CTxDestination, std::set<CTxDestination>* >::iterator it;
- for (const CTxDestination& address : _grouping)
- if ((it = setmap.find(address)) != setmap.end())
- hits.insert((*it).second);
-
- // merge all hit groups into a new single group and delete old groups
- std::set<CTxDestination>* merged = new std::set<CTxDestination>(_grouping);
- for (std::set<CTxDestination>* hit : hits)
- {
- merged->insert(hit->begin(), hit->end());
- uniqueGroupings.erase(hit);
- delete hit;
- }
- uniqueGroupings.insert(merged);
-
- // update setmap
- for (const CTxDestination& element : *merged)
- setmap[element] = merged;
- }
-
- std::set< std::set<CTxDestination> > ret;
- for (const std::set<CTxDestination>* uniqueGrouping : uniqueGroupings)
- {
- ret.insert(*uniqueGrouping);
- delete uniqueGrouping;
- }
-
- return ret;
-}
-
std::set<CTxDestination> CWallet::GetLabelAddresses(const std::string& label) const
{
- LOCK(cs_wallet);
+ AssertLockHeld(cs_wallet);
std::set<CTxDestination> result;
for (const std::pair<const CTxDestination, CAddressBookData>& item : m_address_book)
{
@@ -3535,10 +2336,11 @@ std::set<CTxDestination> CWallet::GetLabelAddresses(const std::string& label) co
return result;
}
-bool ReserveDestination::GetReservedDestination(CTxDestination& dest, bool internal)
+bool ReserveDestination::GetReservedDestination(CTxDestination& dest, bool internal, bilingual_str& error)
{
m_spk_man = pwallet->GetScriptPubKeyMan(type, internal);
if (!m_spk_man) {
+ error = strprintf(_("Error: No %s addresses available."), FormatOutputType(type));
return false;
}
@@ -3548,7 +2350,7 @@ bool ReserveDestination::GetReservedDestination(CTxDestination& dest, bool inter
m_spk_man->TopUp();
CKeyPool keypool;
- if (!m_spk_man->GetReservedDestination(type, internal, address, nIndex, keypool)) {
+ if (!m_spk_man->GetReservedDestination(type, internal, address, nIndex, keypool, error)) {
return false;
}
fInternal = keypool.fInternal;
@@ -3575,54 +2377,50 @@ void ReserveDestination::ReturnDestination()
address = CNoDestination();
}
-#ifdef ENABLE_EXTERNAL_SIGNER
-ExternalSigner CWallet::GetExternalSigner()
-{
- const std::string command = gArgs.GetArg("-signer", "");
- if (command == "") throw std::runtime_error(std::string(__func__) + ": restart bitcoind with -signer=<cmd>");
- std::vector<ExternalSigner> signers;
- ExternalSigner::Enumerate(command, signers, Params().NetworkIDString());
- if (signers.empty()) throw std::runtime_error(std::string(__func__) + ": No external signers found");
- // TODO: add fingerprint argument in case of multiple signers
- return signers[0];
-}
-#endif
-
bool CWallet::DisplayAddress(const CTxDestination& dest)
{
-#ifdef ENABLE_EXTERNAL_SIGNER
CScript scriptPubKey = GetScriptForDestination(dest);
- const auto spk_man = GetScriptPubKeyMan(scriptPubKey);
- if (spk_man == nullptr) {
- return false;
- }
- auto signer_spk_man = dynamic_cast<ExternalSignerScriptPubKeyMan*>(spk_man);
- if (signer_spk_man == nullptr) {
- return false;
+ for (const auto& spk_man : GetScriptPubKeyMans(scriptPubKey)) {
+ auto signer_spk_man = dynamic_cast<ExternalSignerScriptPubKeyMan *>(spk_man);
+ if (signer_spk_man == nullptr) {
+ continue;
+ }
+ ExternalSigner signer = ExternalSignerScriptPubKeyMan::GetExternalSigner();
+ return signer_spk_man->DisplayAddress(scriptPubKey, signer);
}
- ExternalSigner signer = GetExternalSigner(); // TODO: move signer in spk_man
- return signer_spk_man->DisplayAddress(scriptPubKey, signer);
-#else
return false;
-#endif
}
-void CWallet::LockCoin(const COutPoint& output)
+bool CWallet::LockCoin(const COutPoint& output, WalletBatch* batch)
{
AssertLockHeld(cs_wallet);
setLockedCoins.insert(output);
+ if (batch) {
+ return batch->WriteLockedUTXO(output);
+ }
+ return true;
}
-void CWallet::UnlockCoin(const COutPoint& output)
+bool CWallet::UnlockCoin(const COutPoint& output, WalletBatch* batch)
{
AssertLockHeld(cs_wallet);
- setLockedCoins.erase(output);
+ bool was_locked = setLockedCoins.erase(output);
+ if (batch && was_locked) {
+ return batch->EraseLockedUTXO(output);
+ }
+ return true;
}
-void CWallet::UnlockAllCoins()
+bool CWallet::UnlockAllCoins()
{
AssertLockHeld(cs_wallet);
+ bool success = true;
+ WalletBatch batch(GetDatabase());
+ for (auto it = setLockedCoins.begin(); it != setLockedCoins.end(); ++it) {
+ success &= batch.EraseLockedUTXO(*it);
+ }
setLockedCoins.clear();
+ return success;
}
bool CWallet::IsLockedCoin(uint256 hash, unsigned int n) const
@@ -3649,44 +2447,48 @@ void CWallet::GetKeyBirthTimes(std::map<CKeyID, int64_t>& mapKeyBirth) const {
AssertLockHeld(cs_wallet);
mapKeyBirth.clear();
- LegacyScriptPubKeyMan* spk_man = GetLegacyScriptPubKeyMan();
- assert(spk_man != nullptr);
- LOCK(spk_man->cs_KeyStore);
+ // map in which we'll infer heights of other keys
+ std::map<CKeyID, const TxStateConfirmed*> mapKeyFirstBlock;
+ TxStateConfirmed max_confirm{uint256{}, /*height=*/-1, /*index=*/-1};
+ max_confirm.confirmed_block_height = GetLastBlockHeight() > 144 ? GetLastBlockHeight() - 144 : 0; // the tip can be reorganized; use a 144-block safety margin
+ CHECK_NONFATAL(chain().findAncestorByHeight(GetLastBlockHash(), max_confirm.confirmed_block_height, FoundBlock().hash(max_confirm.confirmed_block_hash)));
- // get birth times for keys with metadata
- for (const auto& entry : spk_man->mapKeyMetadata) {
- if (entry.second.nCreateTime) {
- mapKeyBirth[entry.first] = entry.second.nCreateTime;
+ {
+ LegacyScriptPubKeyMan* spk_man = GetLegacyScriptPubKeyMan();
+ assert(spk_man != nullptr);
+ LOCK(spk_man->cs_KeyStore);
+
+ // get birth times for keys with metadata
+ for (const auto& entry : spk_man->mapKeyMetadata) {
+ if (entry.second.nCreateTime) {
+ mapKeyBirth[entry.first] = entry.second.nCreateTime;
+ }
}
- }
- // map in which we'll infer heights of other keys
- std::map<CKeyID, const CWalletTx::Confirmation*> mapKeyFirstBlock;
- CWalletTx::Confirmation max_confirm;
- max_confirm.block_height = GetLastBlockHeight() > 144 ? GetLastBlockHeight() - 144 : 0; // the tip can be reorganized; use a 144-block safety margin
- CHECK_NONFATAL(chain().findAncestorByHeight(GetLastBlockHash(), max_confirm.block_height, FoundBlock().hash(max_confirm.hashBlock)));
- for (const CKeyID &keyid : spk_man->GetKeys()) {
- if (mapKeyBirth.count(keyid) == 0)
- mapKeyFirstBlock[keyid] = &max_confirm;
- }
+ // Prepare to infer birth heights for keys without metadata
+ for (const CKeyID &keyid : spk_man->GetKeys()) {
+ if (mapKeyBirth.count(keyid) == 0)
+ mapKeyFirstBlock[keyid] = &max_confirm;
+ }
- // if there are no such keys, we're done
- if (mapKeyFirstBlock.empty())
- return;
+ // if there are no such keys, we're done
+ if (mapKeyFirstBlock.empty())
+ return;
- // find first block that affects those keys, if there are any left
- for (const auto& entry : mapWallet) {
- // iterate over all wallet transactions...
- const CWalletTx &wtx = entry.second;
- if (wtx.m_confirm.status == CWalletTx::CONFIRMED) {
- // ... which are already in a block
- for (const CTxOut &txout : wtx.tx->vout) {
- // iterate over all their outputs
- for (const auto &keyid : GetAffectedKeys(txout.scriptPubKey, *spk_man)) {
- // ... and all their affected keys
- auto rit = mapKeyFirstBlock.find(keyid);
- if (rit != mapKeyFirstBlock.end() && wtx.m_confirm.block_height < rit->second->block_height) {
- rit->second = &wtx.m_confirm;
+ // find first block that affects those keys, if there are any left
+ for (const auto& entry : mapWallet) {
+ // iterate over all wallet transactions...
+ const CWalletTx &wtx = entry.second;
+ if (auto* conf = wtx.state<TxStateConfirmed>()) {
+ // ... which are already in a block
+ for (const CTxOut &txout : wtx.tx->vout) {
+ // iterate over all their outputs
+ for (const auto &keyid : GetAffectedKeys(txout.scriptPubKey, *spk_man)) {
+ // ... and all their affected keys
+ auto rit = mapKeyFirstBlock.find(keyid);
+ if (rit != mapKeyFirstBlock.end() && conf->confirmed_block_height < rit->second->confirmed_block_height) {
+ rit->second = conf;
+ }
}
}
}
@@ -3696,7 +2498,7 @@ void CWallet::GetKeyBirthTimes(std::map<CKeyID, int64_t>& mapKeyBirth) const {
// Extract block timestamps for those keys
for (const auto& entry : mapKeyFirstBlock) {
int64_t block_time;
- CHECK_NONFATAL(chain().findBlock(entry.second->hashBlock, FoundBlock().time(block_time)));
+ CHECK_NONFATAL(chain().findBlock(entry.second->confirmed_block_hash, FoundBlock().time(block_time)));
mapKeyBirth[entry.first] = block_time - TIMESTAMP_WINDOW; // block times can be 2h off
}
}
@@ -3708,6 +2510,8 @@ void CWallet::GetKeyBirthTimes(std::map<CKeyID, int64_t>& mapKeyBirth) const {
* - If sending a transaction, assign its timestamp to the current time.
* - If receiving a transaction outside a block, assign its timestamp to the
* current time.
+ * - If receiving a transaction during a rescanning process, assign all its
+ * (not already known) transactions' timestamps to the block time.
* - If receiving a block with a future timestamp, assign all its (not already
* known) transactions' timestamps to the current time.
* - If receiving a block with a past timestamp, before the most recent known
@@ -3722,84 +2526,96 @@ void CWallet::GetKeyBirthTimes(std::map<CKeyID, int64_t>& mapKeyBirth) const {
* https://bitcointalk.org/?topic=54527, or
* https://github.com/bitcoin/bitcoin/pull/1393.
*/
-unsigned int CWallet::ComputeTimeSmart(const CWalletTx& wtx) const
+unsigned int CWallet::ComputeTimeSmart(const CWalletTx& wtx, bool rescanning_old_block) const
{
+ std::optional<uint256> block_hash;
+ if (auto* conf = wtx.state<TxStateConfirmed>()) {
+ block_hash = conf->confirmed_block_hash;
+ } else if (auto* conf = wtx.state<TxStateConflicted>()) {
+ block_hash = conf->conflicting_block_hash;
+ }
+
unsigned int nTimeSmart = wtx.nTimeReceived;
- if (!wtx.isUnconfirmed() && !wtx.isAbandoned()) {
+ if (block_hash) {
int64_t blocktime;
- if (chain().findBlock(wtx.m_confirm.hashBlock, FoundBlock().time(blocktime))) {
- int64_t latestNow = wtx.nTimeReceived;
- int64_t latestEntry = 0;
-
- // Tolerate times up to the last timestamp in the wallet not more than 5 minutes into the future
- int64_t latestTolerated = latestNow + 300;
- const TxItems& txOrdered = wtxOrdered;
- for (auto it = txOrdered.rbegin(); it != txOrdered.rend(); ++it) {
- CWalletTx* const pwtx = it->second;
- if (pwtx == &wtx) {
- continue;
- }
- int64_t nSmartTime;
- nSmartTime = pwtx->nTimeSmart;
- if (!nSmartTime) {
- nSmartTime = pwtx->nTimeReceived;
- }
- if (nSmartTime <= latestTolerated) {
- latestEntry = nSmartTime;
- if (nSmartTime > latestNow) {
- latestNow = nSmartTime;
+ int64_t block_max_time;
+ if (chain().findBlock(*block_hash, FoundBlock().time(blocktime).maxTime(block_max_time))) {
+ if (rescanning_old_block) {
+ nTimeSmart = block_max_time;
+ } else {
+ int64_t latestNow = wtx.nTimeReceived;
+ int64_t latestEntry = 0;
+
+ // Tolerate times up to the last timestamp in the wallet not more than 5 minutes into the future
+ int64_t latestTolerated = latestNow + 300;
+ const TxItems& txOrdered = wtxOrdered;
+ for (auto it = txOrdered.rbegin(); it != txOrdered.rend(); ++it) {
+ CWalletTx* const pwtx = it->second;
+ if (pwtx == &wtx) {
+ continue;
+ }
+ int64_t nSmartTime;
+ nSmartTime = pwtx->nTimeSmart;
+ if (!nSmartTime) {
+ nSmartTime = pwtx->nTimeReceived;
+ }
+ if (nSmartTime <= latestTolerated) {
+ latestEntry = nSmartTime;
+ if (nSmartTime > latestNow) {
+ latestNow = nSmartTime;
+ }
+ break;
}
- break;
}
- }
- nTimeSmart = std::max(latestEntry, std::min(blocktime, latestNow));
+ nTimeSmart = std::max(latestEntry, std::min(blocktime, latestNow));
+ }
} else {
- WalletLogPrintf("%s: found %s in block %s not in index\n", __func__, wtx.GetHash().ToString(), wtx.m_confirm.hashBlock.ToString());
+ WalletLogPrintf("%s: found %s in block %s not in index\n", __func__, wtx.GetHash().ToString(), block_hash->ToString());
}
}
return nTimeSmart;
}
-bool CWallet::AddDestData(WalletBatch& batch, const CTxDestination &dest, const std::string &key, const std::string &value)
+bool CWallet::SetAddressUsed(WalletBatch& batch, const CTxDestination& dest, bool used)
{
+ const std::string key{"used"};
if (std::get_if<CNoDestination>(&dest))
return false;
+ if (!used) {
+ if (auto* data = util::FindKey(m_address_book, dest)) data->destdata.erase(key);
+ return batch.EraseDestData(EncodeDestination(dest), key);
+ }
+
+ const std::string value{"1"};
m_address_book[dest].destdata.insert(std::make_pair(key, value));
return batch.WriteDestData(EncodeDestination(dest), key, value);
}
-bool CWallet::EraseDestData(WalletBatch& batch, const CTxDestination &dest, const std::string &key)
-{
- if (!m_address_book[dest].destdata.erase(key))
- return false;
- return batch.EraseDestData(EncodeDestination(dest), key);
-}
-
void CWallet::LoadDestData(const CTxDestination &dest, const std::string &key, const std::string &value)
{
m_address_book[dest].destdata.insert(std::make_pair(key, value));
}
-bool CWallet::GetDestData(const CTxDestination &dest, const std::string &key, std::string *value) const
+bool CWallet::IsAddressUsed(const CTxDestination& dest) const
{
+ const std::string key{"used"};
std::map<CTxDestination, CAddressBookData>::const_iterator i = m_address_book.find(dest);
if(i != m_address_book.end())
{
CAddressBookData::StringMap::const_iterator j = i->second.destdata.find(key);
if(j != i->second.destdata.end())
{
- if(value)
- *value = j->second;
return true;
}
}
return false;
}
-std::vector<std::string> CWallet::GetDestValues(const std::string& prefix) const
+std::vector<std::string> CWallet::GetAddressReceiveRequests() const
{
+ const std::string prefix{"rr"};
std::vector<std::string> values;
for (const auto& address : m_address_book) {
for (const auto& data : address.second.destdata) {
@@ -3811,6 +2627,20 @@ std::vector<std::string> CWallet::GetDestValues(const std::string& prefix) const
return values;
}
+bool CWallet::SetAddressReceiveRequest(WalletBatch& batch, const CTxDestination& dest, const std::string& id, const std::string& value)
+{
+ const std::string key{"rr" + id}; // "rr" prefix = "receive request" in destdata
+ CAddressBookData& data = m_address_book.at(dest);
+ if (value.empty()) {
+ if (!batch.EraseDestData(EncodeDestination(dest), key)) return false;
+ data.destdata.erase(key);
+ } else {
+ if (!batch.WriteDestData(EncodeDestination(dest), key, value)) return false;
+ data.destdata[key] = value;
+ }
+ return true;
+}
+
std::unique_ptr<WalletDatabase> MakeWalletDatabase(const std::string& name, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error_string)
{
// Do some checking on wallet path. It should be either a:
@@ -3819,34 +2649,34 @@ std::unique_ptr<WalletDatabase> MakeWalletDatabase(const std::string& name, cons
// 2. Path to an existing directory.
// 3. Path to a symlink to a directory.
// 4. For backwards compatibility, the name of a data file in -walletdir.
- const fs::path wallet_path = fsbridge::AbsPathJoin(GetWalletDir(), name);
+ const fs::path wallet_path = fsbridge::AbsPathJoin(GetWalletDir(), fs::PathFromString(name));
fs::file_type path_type = fs::symlink_status(wallet_path).type();
- if (!(path_type == fs::file_not_found || path_type == fs::directory_file ||
- (path_type == fs::symlink_file && fs::is_directory(wallet_path)) ||
- (path_type == fs::regular_file && fs::path(name).filename() == name))) {
+ if (!(path_type == fs::file_type::not_found || path_type == fs::file_type::directory ||
+ (path_type == fs::file_type::symlink && fs::is_directory(wallet_path)) ||
+ (path_type == fs::file_type::regular && fs::PathFromString(name).filename() == fs::PathFromString(name)))) {
error_string = Untranslated(strprintf(
"Invalid -wallet path '%s'. -wallet path should point to a directory where wallet.dat and "
"database/log.?????????? files can be stored, a location where such a directory could be created, "
"or (for backwards compatibility) the name of an existing data file in -walletdir (%s)",
- name, GetWalletDir()));
+ name, fs::quoted(fs::PathToString(GetWalletDir()))));
status = DatabaseStatus::FAILED_BAD_PATH;
return nullptr;
}
return MakeDatabase(wallet_path, options, status, error_string);
}
-std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::string& name, std::unique_ptr<WalletDatabase> database, uint64_t wallet_creation_flags, bilingual_str& error, std::vector<bilingual_str>& warnings)
+std::shared_ptr<CWallet> CWallet::Create(WalletContext& context, const std::string& name, std::unique_ptr<WalletDatabase> database, uint64_t wallet_creation_flags, bilingual_str& error, std::vector<bilingual_str>& warnings)
{
+ interfaces::Chain* chain = context.chain;
+ ArgsManager& args = *Assert(context.args);
const std::string& walletFile = database->Filename();
- chain.initMessage(_("Loading wallet...").translated);
-
int64_t nStart = GetTimeMillis();
- bool fFirstRun = true;
// TODO: Can't use std::make_shared because we need a custom deleter but
// should be possible to use std::allocate_shared.
- std::shared_ptr<CWallet> walletInstance(new CWallet(&chain, name, std::move(database)), ReleaseWallet);
- DBErrors nLoadWalletRet = walletInstance->LoadWallet(fFirstRun);
+ const std::shared_ptr<CWallet> walletInstance(new CWallet(chain, name, args, std::move(database)), ReleaseWallet);
+ bool rescan_required = false;
+ DBErrors nLoadWalletRet = walletInstance->LoadWallet();
if (nLoadWalletRet != DBErrors::LOAD_OK) {
if (nLoadWalletRet == DBErrors::CORRUPT) {
error = strprintf(_("Error loading %s: Wallet corrupted"), walletFile);
@@ -3866,6 +2696,10 @@ std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::st
{
error = strprintf(_("Wallet needed to be rewritten: restart %s to complete"), PACKAGE_NAME);
return nullptr;
+ } else if (nLoadWalletRet == DBErrors::NEED_RESCAN) {
+ warnings.push_back(strprintf(_("Error reading %s! Transaction data may be missing or incorrect."
+ " Rescanning wallet."), walletFile));
+ rescan_required = true;
}
else {
error = strprintf(_("Error loading %s"), walletFile);
@@ -3873,6 +2707,10 @@ std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::st
}
}
+ // This wallet is in its first run if there are no ScriptPubKeyMans and it isn't blank or no privkeys
+ const bool fFirstRun = walletInstance->m_spk_managers.empty() &&
+ !walletInstance->IsWalletFlagSet(WALLET_FLAG_DISABLE_PRIVATE_KEYS) &&
+ !walletInstance->IsWalletFlagSet(WALLET_FLAG_BLANK_WALLET);
if (fFirstRun)
{
// ensure this wallet.dat can only be opened by clients supporting HD with chain split and expects no default key
@@ -3901,7 +2739,9 @@ std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::st
}
}
- walletInstance->chainStateFlushed(chain.getTipLocator());
+ if (chain) {
+ walletInstance->chainStateFlushed(chain->getTipLocator());
+ }
} else if (wallet_creation_flags & WALLET_FLAG_DISABLE_PRIVATE_KEYS) {
// Make it impossible to disable private keys after creation
error = strprintf(_("Error loading %s: Private keys can only be disabled during creation"), walletFile);
@@ -3915,128 +2755,168 @@ std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::st
}
}
- if (!gArgs.GetArg("-addresstype", "").empty()) {
- if (!ParseOutputType(gArgs.GetArg("-addresstype", ""), walletInstance->m_default_address_type)) {
- error = strprintf(_("Unknown address type '%s'"), gArgs.GetArg("-addresstype", ""));
+ if (!args.GetArg("-addresstype", "").empty()) {
+ std::optional<OutputType> parsed = ParseOutputType(args.GetArg("-addresstype", ""));
+ if (!parsed) {
+ error = strprintf(_("Unknown address type '%s'"), args.GetArg("-addresstype", ""));
return nullptr;
}
+ walletInstance->m_default_address_type = parsed.value();
}
- if (!gArgs.GetArg("-changetype", "").empty()) {
- OutputType out_type;
- if (!ParseOutputType(gArgs.GetArg("-changetype", ""), out_type)) {
- error = strprintf(_("Unknown change type '%s'"), gArgs.GetArg("-changetype", ""));
+ if (!args.GetArg("-changetype", "").empty()) {
+ std::optional<OutputType> parsed = ParseOutputType(args.GetArg("-changetype", ""));
+ if (!parsed) {
+ error = strprintf(_("Unknown change type '%s'"), args.GetArg("-changetype", ""));
return nullptr;
}
- walletInstance->m_default_change_type = out_type;
+ walletInstance->m_default_change_type = parsed.value();
}
- if (gArgs.IsArgSet("-mintxfee")) {
- CAmount n = 0;
- if (!ParseMoney(gArgs.GetArg("-mintxfee", ""), n) || 0 == n) {
- error = AmountErrMsg("mintxfee", gArgs.GetArg("-mintxfee", ""));
+ if (args.IsArgSet("-mintxfee")) {
+ std::optional<CAmount> min_tx_fee = ParseMoney(args.GetArg("-mintxfee", ""));
+ if (!min_tx_fee || min_tx_fee.value() == 0) {
+ error = AmountErrMsg("mintxfee", args.GetArg("-mintxfee", ""));
return nullptr;
- }
- if (n > HIGH_TX_FEE_PER_KB) {
+ } else if (min_tx_fee.value() > HIGH_TX_FEE_PER_KB) {
warnings.push_back(AmountHighWarn("-mintxfee") + Untranslated(" ") +
_("This is the minimum transaction fee you pay on every transaction."));
}
- walletInstance->m_min_fee = CFeeRate(n);
+
+ walletInstance->m_min_fee = CFeeRate{min_tx_fee.value()};
}
- if (gArgs.IsArgSet("-maxapsfee")) {
- const std::string max_aps_fee{gArgs.GetArg("-maxapsfee", "")};
- CAmount n = 0;
+ if (args.IsArgSet("-maxapsfee")) {
+ const std::string max_aps_fee{args.GetArg("-maxapsfee", "")};
if (max_aps_fee == "-1") {
- n = -1;
- } else if (!ParseMoney(max_aps_fee, n)) {
+ walletInstance->m_max_aps_fee = -1;
+ } else if (std::optional<CAmount> max_fee = ParseMoney(max_aps_fee)) {
+ if (max_fee.value() > HIGH_APS_FEE) {
+ warnings.push_back(AmountHighWarn("-maxapsfee") + Untranslated(" ") +
+ _("This is the maximum transaction fee you pay (in addition to the normal fee) to prioritize partial spend avoidance over regular coin selection."));
+ }
+ walletInstance->m_max_aps_fee = max_fee.value();
+ } else {
error = AmountErrMsg("maxapsfee", max_aps_fee);
return nullptr;
}
- if (n > HIGH_APS_FEE) {
- warnings.push_back(AmountHighWarn("-maxapsfee") + Untranslated(" ") +
- _("This is the maximum transaction fee you pay (in addition to the normal fee) to prioritize partial spend avoidance over regular coin selection."));
- }
- walletInstance->m_max_aps_fee = n;
}
- if (gArgs.IsArgSet("-fallbackfee")) {
- CAmount nFeePerK = 0;
- if (!ParseMoney(gArgs.GetArg("-fallbackfee", ""), nFeePerK)) {
- error = strprintf(_("Invalid amount for -fallbackfee=<amount>: '%s'"), gArgs.GetArg("-fallbackfee", ""));
+ if (args.IsArgSet("-fallbackfee")) {
+ std::optional<CAmount> fallback_fee = ParseMoney(args.GetArg("-fallbackfee", ""));
+ if (!fallback_fee) {
+ error = strprintf(_("Invalid amount for -fallbackfee=<amount>: '%s'"), args.GetArg("-fallbackfee", ""));
return nullptr;
- }
- if (nFeePerK > HIGH_TX_FEE_PER_KB) {
+ } else if (fallback_fee.value() > HIGH_TX_FEE_PER_KB) {
warnings.push_back(AmountHighWarn("-fallbackfee") + Untranslated(" ") +
_("This is the transaction fee you may pay when fee estimates are not available."));
}
- walletInstance->m_fallback_fee = CFeeRate(nFeePerK);
+ walletInstance->m_fallback_fee = CFeeRate{fallback_fee.value()};
}
+
// Disable fallback fee in case value was set to 0, enable if non-null value
walletInstance->m_allow_fallback_fee = walletInstance->m_fallback_fee.GetFeePerK() != 0;
- if (gArgs.IsArgSet("-discardfee")) {
- CAmount nFeePerK = 0;
- if (!ParseMoney(gArgs.GetArg("-discardfee", ""), nFeePerK)) {
- error = strprintf(_("Invalid amount for -discardfee=<amount>: '%s'"), gArgs.GetArg("-discardfee", ""));
+ if (args.IsArgSet("-discardfee")) {
+ std::optional<CAmount> discard_fee = ParseMoney(args.GetArg("-discardfee", ""));
+ if (!discard_fee) {
+ error = strprintf(_("Invalid amount for -discardfee=<amount>: '%s'"), args.GetArg("-discardfee", ""));
return nullptr;
- }
- if (nFeePerK > HIGH_TX_FEE_PER_KB) {
+ } else if (discard_fee.value() > HIGH_TX_FEE_PER_KB) {
warnings.push_back(AmountHighWarn("-discardfee") + Untranslated(" ") +
_("This is the transaction fee you may discard if change is smaller than dust at this level"));
}
- walletInstance->m_discard_rate = CFeeRate(nFeePerK);
+ walletInstance->m_discard_rate = CFeeRate{discard_fee.value()};
}
- if (gArgs.IsArgSet("-paytxfee")) {
- CAmount nFeePerK = 0;
- if (!ParseMoney(gArgs.GetArg("-paytxfee", ""), nFeePerK)) {
- error = AmountErrMsg("paytxfee", gArgs.GetArg("-paytxfee", ""));
+
+ if (args.IsArgSet("-paytxfee")) {
+ std::optional<CAmount> pay_tx_fee = ParseMoney(args.GetArg("-paytxfee", ""));
+ if (!pay_tx_fee) {
+ error = AmountErrMsg("paytxfee", args.GetArg("-paytxfee", ""));
return nullptr;
- }
- if (nFeePerK > HIGH_TX_FEE_PER_KB) {
+ } else if (pay_tx_fee.value() > HIGH_TX_FEE_PER_KB) {
warnings.push_back(AmountHighWarn("-paytxfee") + Untranslated(" ") +
_("This is the transaction fee you will pay if you send a transaction."));
}
- walletInstance->m_pay_tx_fee = CFeeRate(nFeePerK, 1000);
- if (walletInstance->m_pay_tx_fee < chain.relayMinFee()) {
+
+ walletInstance->m_pay_tx_fee = CFeeRate{pay_tx_fee.value(), 1000};
+
+ if (chain && walletInstance->m_pay_tx_fee < chain->relayMinFee()) {
error = strprintf(_("Invalid amount for -paytxfee=<amount>: '%s' (must be at least %s)"),
- gArgs.GetArg("-paytxfee", ""), chain.relayMinFee().ToString());
+ args.GetArg("-paytxfee", ""), chain->relayMinFee().ToString());
return nullptr;
}
}
- if (gArgs.IsArgSet("-maxtxfee")) {
- CAmount nMaxFee = 0;
- if (!ParseMoney(gArgs.GetArg("-maxtxfee", ""), nMaxFee)) {
- error = AmountErrMsg("maxtxfee", gArgs.GetArg("-maxtxfee", ""));
+ if (args.IsArgSet("-maxtxfee")) {
+ std::optional<CAmount> max_fee = ParseMoney(args.GetArg("-maxtxfee", ""));
+ if (!max_fee) {
+ error = AmountErrMsg("maxtxfee", args.GetArg("-maxtxfee", ""));
return nullptr;
- }
- if (nMaxFee > HIGH_MAX_TX_FEE) {
+ } else if (max_fee.value() > HIGH_MAX_TX_FEE) {
warnings.push_back(_("-maxtxfee is set very high! Fees this large could be paid on a single transaction."));
}
- if (CFeeRate(nMaxFee, 1000) < chain.relayMinFee()) {
+
+ if (chain && CFeeRate{max_fee.value(), 1000} < chain->relayMinFee()) {
error = strprintf(_("Invalid amount for -maxtxfee=<amount>: '%s' (must be at least the minrelay fee of %s to prevent stuck transactions)"),
- gArgs.GetArg("-maxtxfee", ""), chain.relayMinFee().ToString());
+ args.GetArg("-maxtxfee", ""), chain->relayMinFee().ToString());
+ return nullptr;
+ }
+
+ walletInstance->m_default_max_tx_fee = max_fee.value();
+ }
+
+ if (args.IsArgSet("-consolidatefeerate")) {
+ if (std::optional<CAmount> consolidate_feerate = ParseMoney(args.GetArg("-consolidatefeerate", ""))) {
+ walletInstance->m_consolidate_feerate = CFeeRate(*consolidate_feerate);
+ } else {
+ error = AmountErrMsg("consolidatefeerate", args.GetArg("-consolidatefeerate", ""));
return nullptr;
}
- walletInstance->m_default_max_tx_fee = nMaxFee;
}
- if (chain.relayMinFee().GetFeePerK() > HIGH_TX_FEE_PER_KB) {
+ if (chain && chain->relayMinFee().GetFeePerK() > HIGH_TX_FEE_PER_KB) {
warnings.push_back(AmountHighWarn("-minrelaytxfee") + Untranslated(" ") +
_("The wallet will avoid paying less than the minimum relay fee."));
}
- walletInstance->m_confirm_target = gArgs.GetArg("-txconfirmtarget", DEFAULT_TX_CONFIRM_TARGET);
- walletInstance->m_spend_zero_conf_change = gArgs.GetBoolArg("-spendzeroconfchange", DEFAULT_SPEND_ZEROCONF_CHANGE);
- walletInstance->m_signal_rbf = gArgs.GetBoolArg("-walletrbf", DEFAULT_WALLET_RBF);
+ walletInstance->m_confirm_target = args.GetIntArg("-txconfirmtarget", DEFAULT_TX_CONFIRM_TARGET);
+ walletInstance->m_spend_zero_conf_change = args.GetBoolArg("-spendzeroconfchange", DEFAULT_SPEND_ZEROCONF_CHANGE);
+ walletInstance->m_signal_rbf = args.GetBoolArg("-walletrbf", DEFAULT_WALLET_RBF);
walletInstance->WalletLogPrintf("Wallet completed loading in %15dms\n", GetTimeMillis() - nStart);
// Try to top up keypool. No-op if the wallet is locked.
walletInstance->TopUpKeyPool();
+ if (chain && !AttachChain(walletInstance, *chain, rescan_required, error, warnings)) {
+ return nullptr;
+ }
+
+ {
+ LOCK(context.wallets_mutex);
+ for (auto& load_wallet : context.wallet_load_fns) {
+ load_wallet(interfaces::MakeWallet(context, walletInstance));
+ }
+ }
+
+ {
+ LOCK(walletInstance->cs_wallet);
+ walletInstance->SetBroadcastTransactions(args.GetBoolArg("-walletbroadcast", DEFAULT_WALLETBROADCAST));
+ walletInstance->WalletLogPrintf("setKeyPool.size() = %u\n", walletInstance->GetKeyPoolSize());
+ walletInstance->WalletLogPrintf("mapWallet.size() = %u\n", walletInstance->mapWallet.size());
+ walletInstance->WalletLogPrintf("m_address_book.size() = %u\n", walletInstance->m_address_book.size());
+ }
+
+ return walletInstance;
+}
+
+bool CWallet::AttachChain(const std::shared_ptr<CWallet>& walletInstance, interfaces::Chain& chain, const bool rescan_required, bilingual_str& error, std::vector<bilingual_str>& warnings)
+{
LOCK(walletInstance->cs_wallet);
+ // allow setting the chain if it hasn't been set already but prevent changing it
+ assert(!walletInstance->m_chain || walletInstance->m_chain == &chain);
+ walletInstance->m_chain = &chain;
// Register wallet with validationinterface. It's done before rescan to avoid
// missing block connections between end of rescan and validation subscribing.
@@ -4048,19 +2928,20 @@ std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::st
// interface.
walletInstance->m_chain_notifications_handler = walletInstance->chain().handleNotifications(walletInstance);
+ // If rescan_required = true, rescan_height remains equal to 0
int rescan_height = 0;
- if (!gArgs.GetBoolArg("-rescan", false))
+ if (!rescan_required)
{
WalletBatch batch(walletInstance->GetDatabase());
CBlockLocator locator;
if (batch.ReadBestBlock(locator)) {
- if (const Optional<int> fork_height = chain.findLocatorFork(locator)) {
+ if (const std::optional<int> fork_height = chain.findLocatorFork(locator)) {
rescan_height = *fork_height;
}
}
}
- const Optional<int> tip_height = chain.getHeight();
+ const std::optional<int> tip_height = chain.getHeight();
if (tip_height) {
walletInstance->m_last_block_processed = chain.getBlockHash(*tip_height);
walletInstance->m_last_block_processed_height = *tip_height;
@@ -4071,30 +2952,30 @@ std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::st
if (tip_height && *tip_height != rescan_height)
{
- // We can't rescan beyond non-pruned blocks, stop and throw an error.
- // This might happen if a user uses an old wallet within a pruned node
- // or if they ran -disablewallet for a longer time, then decided to re-enable
if (chain.havePruned()) {
- // Exit early and print an error.
- // If a block is pruned after this check, we will load the wallet,
- // but fail the rescan with a generic error.
int block_height = *tip_height;
while (block_height > 0 && chain.haveBlockOnDisk(block_height - 1) && rescan_height != block_height) {
--block_height;
}
if (rescan_height != block_height) {
+ // We can't rescan beyond non-pruned blocks, stop and throw an error.
+ // This might happen if a user uses an old wallet within a pruned node
+ // or if they ran -disablewallet for a longer time, then decided to re-enable
+ // Exit early and print an error.
+ // If a block is pruned after this check, we will load the wallet,
+ // but fail the rescan with a generic error.
error = _("Prune: last wallet synchronisation goes beyond pruned data. You need to -reindex (download the whole blockchain again in case of pruned node)");
- return nullptr;
+ return false;
}
}
- chain.initMessage(_("Rescanning...").translated);
+ chain.initMessage(_("Rescanning…").translated);
walletInstance->WalletLogPrintf("Rescanning last %i blocks (from block %i)...\n", *tip_height - rescan_height, rescan_height);
// No need to read and scan block if block was created before
// our wallet birthday (as adjusted for block time variability)
- Optional<int64_t> time_first_key;
+ std::optional<int64_t> time_first_key;
for (auto spk_man : walletInstance->GetAllScriptPubKeyMans()) {
int64_t time = spk_man->GetTimeFirstKey();
if (!time_first_key || time < *time_first_key) time_first_key = time;
@@ -4107,29 +2988,14 @@ std::shared_ptr<CWallet> CWallet::Create(interfaces::Chain& chain, const std::st
WalletRescanReserver reserver(*walletInstance);
if (!reserver.reserve() || (ScanResult::SUCCESS != walletInstance->ScanForWalletTransactions(chain.getBlockHash(rescan_height), rescan_height, {} /* max height */, reserver, true /* update */).status)) {
error = _("Failed to rescan the wallet during initialization");
- return nullptr;
+ return false;
}
}
walletInstance->chainStateFlushed(chain.getTipLocator());
walletInstance->GetDatabase().IncrementUpdateCounter();
}
- {
- LOCK(cs_wallets);
- for (auto& load_wallet : g_load_wallet_fns) {
- load_wallet(interfaces::MakeWallet(walletInstance));
- }
- }
-
- walletInstance->SetBroadcastTransactions(gArgs.GetBoolArg("-walletbroadcast", DEFAULT_WALLETBROADCAST));
-
- {
- walletInstance->WalletLogPrintf("setKeyPool.size() = %u\n", walletInstance->GetKeyPoolSize());
- walletInstance->WalletLogPrintf("mapWallet.size() = %u\n", walletInstance->mapWallet.size());
- walletInstance->WalletLogPrintf("m_address_book.size() = %u\n", walletInstance->m_address_book.size());
- }
-
- return walletInstance;
+ return true;
}
const CAddressBookData* CWallet::FindAddressBookEntry(const CTxDestination& dest, bool allow_change) const
@@ -4207,114 +3073,31 @@ CKeyPool::CKeyPool(const CPubKey& vchPubKeyIn, bool internalIn)
m_pre_split = false;
}
-int CWalletTx::GetDepthInMainChain() const
+int CWallet::GetTxDepthInMainChain(const CWalletTx& wtx) const
{
- assert(pwallet != nullptr);
- AssertLockHeld(pwallet->cs_wallet);
- if (isUnconfirmed() || isAbandoned()) return 0;
-
- return (pwallet->GetLastBlockHeight() - m_confirm.block_height + 1) * (isConflicted() ? -1 : 1);
+ AssertLockHeld(cs_wallet);
+ if (auto* conf = wtx.state<TxStateConfirmed>()) {
+ return GetLastBlockHeight() - conf->confirmed_block_height + 1;
+ } else if (auto* conf = wtx.state<TxStateConflicted>()) {
+ return -1 * (GetLastBlockHeight() - conf->conflicting_block_height + 1);
+ } else {
+ return 0;
+ }
}
-int CWalletTx::GetBlocksToMaturity() const
+int CWallet::GetTxBlocksToMaturity(const CWalletTx& wtx) const
{
- if (!IsCoinBase())
+ if (!wtx.IsCoinBase())
return 0;
- int chain_depth = GetDepthInMainChain();
+ int chain_depth = GetTxDepthInMainChain(wtx);
assert(chain_depth >= 0); // coinbase tx should not be conflicted
return std::max(0, (COINBASE_MATURITY+1) - chain_depth);
}
-bool CWalletTx::IsImmatureCoinBase() const
+bool CWallet::IsTxImmatureCoinBase(const CWalletTx& wtx) const
{
// note GetBlocksToMaturity is 0 for non-coinbase tx
- return GetBlocksToMaturity() > 0;
-}
-
-std::vector<OutputGroup> CWallet::GroupOutputs(const std::vector<COutput>& outputs, bool separate_coins, const CFeeRate& effective_feerate, const CFeeRate& long_term_feerate, const CoinEligibilityFilter& filter, bool positive_only) const
-{
- std::vector<OutputGroup> groups_out;
-
- if (separate_coins) {
- // Single coin means no grouping. Each COutput gets its own OutputGroup.
- for (const COutput& output : outputs) {
- // Skip outputs we cannot spend
- if (!output.fSpendable) continue;
-
- size_t ancestors, descendants;
- chain().getTransactionAncestry(output.tx->GetHash(), ancestors, descendants);
- CInputCoin input_coin = output.GetInputCoin();
-
- // Make an OutputGroup containing just this output
- OutputGroup group{effective_feerate, long_term_feerate};
- group.Insert(input_coin, output.nDepth, output.tx->IsFromMe(ISMINE_ALL), ancestors, descendants, positive_only);
-
- // Check the OutputGroup's eligibility. Only add the eligible ones.
- if (positive_only && group.effective_value <= 0) continue;
- if (group.m_outputs.size() > 0 && group.EligibleForSpending(filter)) groups_out.push_back(group);
- }
- return groups_out;
- }
-
- // We want to combine COutputs that have the same scriptPubKey into single OutputGroups
- // except when there are more than OUTPUT_GROUP_MAX_ENTRIES COutputs grouped in an OutputGroup.
- // To do this, we maintain a map where the key is the scriptPubKey and the value is a vector of OutputGroups.
- // For each COutput, we check if the scriptPubKey is in the map, and if it is, the COutput's CInputCoin is added
- // to the last OutputGroup in the vector for the scriptPubKey. When the last OutputGroup has
- // OUTPUT_GROUP_MAX_ENTRIES CInputCoins, a new OutputGroup is added to the end of the vector.
- std::map<CScript, std::vector<OutputGroup>> spk_to_groups_map;
- for (const auto& output : outputs) {
- // Skip outputs we cannot spend
- if (!output.fSpendable) continue;
-
- size_t ancestors, descendants;
- chain().getTransactionAncestry(output.tx->GetHash(), ancestors, descendants);
- CInputCoin input_coin = output.GetInputCoin();
- CScript spk = input_coin.txout.scriptPubKey;
-
- std::vector<OutputGroup>& groups = spk_to_groups_map[spk];
-
- if (groups.size() == 0) {
- // No OutputGroups for this scriptPubKey yet, add one
- groups.emplace_back(effective_feerate, long_term_feerate);
- }
-
- // Get the last OutputGroup in the vector so that we can add the CInputCoin to it
- // A pointer is used here so that group can be reassigned later if it is full.
- OutputGroup* group = &groups.back();
-
- // Check if this OutputGroup is full. We limit to OUTPUT_GROUP_MAX_ENTRIES when using -avoidpartialspends
- // to avoid surprising users with very high fees.
- if (group->m_outputs.size() >= OUTPUT_GROUP_MAX_ENTRIES) {
- // The last output group is full, add a new group to the vector and use that group for the insertion
- groups.emplace_back(effective_feerate, long_term_feerate);
- group = &groups.back();
- }
-
- // Add the input_coin to group
- group->Insert(input_coin, output.nDepth, output.tx->IsFromMe(ISMINE_ALL), ancestors, descendants, positive_only);
- }
-
- // Now we go through the entire map and pull out the OutputGroups
- for (const auto& spk_and_groups_pair: spk_to_groups_map) {
- const std::vector<OutputGroup>& groups_per_spk= spk_and_groups_pair.second;
-
- // Go through the vector backwards. This allows for the first item we deal with being the partial group.
- for (auto group_it = groups_per_spk.rbegin(); group_it != groups_per_spk.rend(); group_it++) {
- const OutputGroup& group = *group_it;
-
- // Don't include partial groups if there are full groups too and we don't want partial groups
- if (group_it == groups_per_spk.rbegin() && groups_per_spk.size() > 1 && !filter.m_include_partial_groups) {
- continue;
- }
-
- // Check the OutputGroup's eligibility. Only add the eligible ones.
- if (positive_only && group.effective_value <= 0) continue;
- if (group.m_outputs.size() > 0 && group.EligibleForSpending(filter)) groups_out.push_back(group);
- }
- }
-
- return groups_out;
+ return GetTxBlocksToMaturity(wtx) > 0;
}
bool CWallet::IsCrypted() const
@@ -4388,15 +3171,15 @@ ScriptPubKeyMan* CWallet::GetScriptPubKeyMan(const OutputType& type, bool intern
const std::map<OutputType, ScriptPubKeyMan*>& spk_managers = internal ? m_internal_spk_managers : m_external_spk_managers;
std::map<OutputType, ScriptPubKeyMan*>::const_iterator it = spk_managers.find(type);
if (it == spk_managers.end()) {
- WalletLogPrintf("%s scriptPubKey Manager for output type %d does not exist\n", internal ? "Internal" : "External", static_cast<int>(type));
return nullptr;
}
return it->second;
}
-std::set<ScriptPubKeyMan*> CWallet::GetScriptPubKeyMans(const CScript& script, SignatureData& sigdata) const
+std::set<ScriptPubKeyMan*> CWallet::GetScriptPubKeyMans(const CScript& script) const
{
std::set<ScriptPubKeyMan*> spk_mans;
+ SignatureData sigdata;
for (const auto& spk_man_pair : m_spk_managers) {
if (spk_man_pair.second->CanProvide(script, sigdata)) {
spk_mans.insert(spk_man_pair.second.get());
@@ -4405,17 +3188,6 @@ std::set<ScriptPubKeyMan*> CWallet::GetScriptPubKeyMans(const CScript& script, S
return spk_mans;
}
-ScriptPubKeyMan* CWallet::GetScriptPubKeyMan(const CScript& script) const
-{
- SignatureData sigdata;
- for (const auto& spk_man_pair : m_spk_managers) {
- if (spk_man_pair.second->CanProvide(script, sigdata)) {
- return spk_man_pair.second.get();
- }
- }
- return nullptr;
-}
-
ScriptPubKeyMan* CWallet::GetScriptPubKeyMan(const uint256& id) const
{
if (m_spk_managers.count(id) > 0) {
@@ -4465,7 +3237,7 @@ void CWallet::SetupLegacyScriptPubKeyMan()
}
auto spk_manager = std::unique_ptr<ScriptPubKeyMan>(new LegacyScriptPubKeyMan(*this));
- for (const auto& type : OUTPUT_TYPES) {
+ for (const auto& type : LEGACY_OUTPUT_TYPES) {
m_internal_spk_managers[type] = spk_manager.get();
m_external_spk_managers[type] = spk_manager.get();
}
@@ -4493,12 +3265,8 @@ void CWallet::ConnectScriptPubKeyManNotifiers()
void CWallet::LoadDescriptorScriptPubKeyMan(uint256 id, WalletDescriptor& desc)
{
if (IsWalletFlagSet(WALLET_FLAG_EXTERNAL_SIGNER)) {
-#ifdef ENABLE_EXTERNAL_SIGNER
auto spk_manager = std::unique_ptr<ScriptPubKeyMan>(new ExternalSignerScriptPubKeyMan(*this, desc));
m_spk_managers[id] = std::move(spk_manager);
-#else
- throw std::runtime_error(std::string(__func__) + ": Configure with --enable-external-signer to use external signer wallets");
-#endif
} else {
auto spk_manager = std::unique_ptr<ScriptPubKeyMan>(new DescriptorScriptPubKeyMan(*this, desc));
m_spk_managers[id] = std::move(spk_manager);
@@ -4518,11 +3286,11 @@ void CWallet::SetupDescriptorScriptPubKeyMans()
// Get the extended key
CExtKey master_key;
- master_key.SetSeed(seed_key.begin(), seed_key.size());
+ master_key.SetSeed(seed_key);
for (bool internal : {false, true}) {
for (OutputType t : OUTPUT_TYPES) {
- auto spk_manager = std::unique_ptr<DescriptorScriptPubKeyMan>(new DescriptorScriptPubKeyMan(*this, internal));
+ auto spk_manager = std::unique_ptr<DescriptorScriptPubKeyMan>(new DescriptorScriptPubKeyMan(*this));
if (IsCrypted()) {
if (IsLocked()) {
throw std::runtime_error(std::string(__func__) + ": Wallet is locked, cannot setup new descriptors");
@@ -4531,14 +3299,13 @@ void CWallet::SetupDescriptorScriptPubKeyMans()
throw std::runtime_error(std::string(__func__) + ": Could not encrypt new descriptors");
}
}
- spk_manager->SetupDescriptorGeneration(master_key, t);
+ spk_manager->SetupDescriptorGeneration(master_key, t, internal);
uint256 id = spk_manager->GetID();
m_spk_managers[id] = std::move(spk_manager);
AddActiveScriptPubKeyMan(id, t, internal);
}
}
} else {
-#ifdef ENABLE_EXTERNAL_SIGNER
ExternalSigner signer = ExternalSignerScriptPubKeyMan::GetExternalSigner();
// TODO: add account parameter
@@ -4552,22 +3319,22 @@ void CWallet::SetupDescriptorScriptPubKeyMans()
for (const UniValue& desc_val : descriptor_vals.get_array().getValues()) {
std::string desc_str = desc_val.getValStr();
FlatSigningProvider keys;
- std::string dummy_error;
- std::unique_ptr<Descriptor> desc = Parse(desc_str, keys, dummy_error, false);
+ std::string desc_error;
+ std::unique_ptr<Descriptor> desc = Parse(desc_str, keys, desc_error, false);
+ if (desc == nullptr) {
+ throw std::runtime_error(std::string(__func__) + ": Invalid descriptor \"" + desc_str + "\" (" + desc_error + ")");
+ }
if (!desc->GetOutputType()) {
continue;
}
OutputType t = *desc->GetOutputType();
- auto spk_manager = std::unique_ptr<ExternalSignerScriptPubKeyMan>(new ExternalSignerScriptPubKeyMan(*this, internal));
+ auto spk_manager = std::unique_ptr<ExternalSignerScriptPubKeyMan>(new ExternalSignerScriptPubKeyMan(*this));
spk_manager->SetupDescriptor(std::move(desc));
uint256 id = spk_manager->GetID();
m_spk_managers[id] = std::move(spk_manager);
AddActiveScriptPubKeyMan(id, t, internal);
}
}
-#else
- throw std::runtime_error(std::string(__func__) + ": Wallets with external signers require Boost::Process library.");
-#endif
}
}
@@ -4582,12 +3349,38 @@ void CWallet::AddActiveScriptPubKeyMan(uint256 id, OutputType type, bool interna
void CWallet::LoadActiveScriptPubKeyMan(uint256 id, OutputType type, bool internal)
{
+ // Activating ScriptPubKeyManager for a given output and change type is incompatible with legacy wallets.
+ // Legacy wallets have only one ScriptPubKeyManager and it's active for all output and change types.
+ Assert(IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS));
+
WalletLogPrintf("Setting spkMan to active: id = %s, type = %d, internal = %d\n", id.ToString(), static_cast<int>(type), static_cast<int>(internal));
auto& spk_mans = internal ? m_internal_spk_managers : m_external_spk_managers;
+ auto& spk_mans_other = internal ? m_external_spk_managers : m_internal_spk_managers;
auto spk_man = m_spk_managers.at(id).get();
- spk_man->SetInternal(internal);
spk_mans[type] = spk_man;
+ const auto it = spk_mans_other.find(type);
+ if (it != spk_mans_other.end() && it->second == spk_man) {
+ spk_mans_other.erase(type);
+ }
+
+ NotifyCanGetAddressesChanged();
+}
+
+void CWallet::DeactivateScriptPubKeyMan(uint256 id, OutputType type, bool internal)
+{
+ auto spk_man = GetScriptPubKeyMan(type, internal);
+ if (spk_man != nullptr && spk_man->GetID() == id) {
+ WalletLogPrintf("Deactivate spkMan: id = %s, type = %d, internal = %d\n", id.ToString(), static_cast<int>(type), static_cast<int>(internal));
+ WalletBatch batch(GetDatabase());
+ if (!batch.EraseActiveScriptPubKeyMan(static_cast<uint8_t>(type), internal)) {
+ throw std::runtime_error(std::string(__func__) + ": erasing active ScriptPubKeyMan id failed");
+ }
+
+ auto& spk_mans = internal ? m_internal_spk_managers : m_external_spk_managers;
+ spk_mans.erase(type);
+ }
+
NotifyCanGetAddressesChanged();
}
@@ -4613,52 +3406,59 @@ DescriptorScriptPubKeyMan* CWallet::GetDescriptorScriptPubKeyMan(const WalletDes
return nullptr;
}
+std::optional<bool> CWallet::IsInternalScriptPubKeyMan(ScriptPubKeyMan* spk_man) const
+{
+ // Legacy script pubkey man can't be either external or internal
+ if (IsLegacy()) {
+ return std::nullopt;
+ }
+
+ // only active ScriptPubKeyMan can be internal
+ if (!GetActiveScriptPubKeyMans().count(spk_man)) {
+ return std::nullopt;
+ }
+
+ const auto desc_spk_man = dynamic_cast<DescriptorScriptPubKeyMan*>(spk_man);
+ if (!desc_spk_man) {
+ throw std::runtime_error(std::string(__func__) + ": unexpected ScriptPubKeyMan type.");
+ }
+
+ LOCK(desc_spk_man->cs_desc_man);
+ const auto& type = desc_spk_man->GetWalletDescriptor().descriptor->GetOutputType();
+ assert(type.has_value());
+
+ return GetScriptPubKeyMan(*type, /* internal= */ true) == desc_spk_man;
+}
+
ScriptPubKeyMan* CWallet::AddWalletDescriptor(WalletDescriptor& desc, const FlatSigningProvider& signing_provider, const std::string& label, bool internal)
{
+ AssertLockHeld(cs_wallet);
+
if (!IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS)) {
WalletLogPrintf("Cannot add WalletDescriptor to a non-descriptor wallet\n");
return nullptr;
}
- LOCK(cs_wallet);
- auto new_spk_man = std::unique_ptr<DescriptorScriptPubKeyMan>(new DescriptorScriptPubKeyMan(*this, desc));
-
- // If we already have this descriptor, remove it from the maps but add the existing cache to desc
- auto old_spk_man = GetDescriptorScriptPubKeyMan(desc);
- if (old_spk_man) {
+ auto spk_man = GetDescriptorScriptPubKeyMan(desc);
+ if (spk_man) {
WalletLogPrintf("Update existing descriptor: %s\n", desc.descriptor->ToString());
+ spk_man->UpdateWalletDescriptor(desc);
+ } else {
+ auto new_spk_man = std::unique_ptr<DescriptorScriptPubKeyMan>(new DescriptorScriptPubKeyMan(*this, desc));
+ spk_man = new_spk_man.get();
- {
- LOCK(old_spk_man->cs_desc_man);
- new_spk_man->SetCache(old_spk_man->GetWalletDescriptor().cache);
- }
-
- // Remove from maps of active spkMans
- auto old_spk_man_id = old_spk_man->GetID();
- for (bool internal : {false, true}) {
- for (OutputType t : OUTPUT_TYPES) {
- auto active_spk_man = GetScriptPubKeyMan(t, internal);
- if (active_spk_man && active_spk_man->GetID() == old_spk_man_id) {
- if (internal) {
- m_internal_spk_managers.erase(t);
- } else {
- m_external_spk_managers.erase(t);
- }
- break;
- }
- }
- }
- m_spk_managers.erase(old_spk_man_id);
+ // Save the descriptor to memory
+ m_spk_managers[new_spk_man->GetID()] = std::move(new_spk_man);
}
// Add the private keys to the descriptor
for (const auto& entry : signing_provider.keys) {
const CKey& key = entry.second;
- new_spk_man->AddDescriptorKey(key, key.GetPubKey());
+ spk_man->AddDescriptorKey(key, key.GetPubKey());
}
// Top up key pool, the manager will generate new scriptPubKeys internally
- if (!new_spk_man->TopUp()) {
+ if (!spk_man->TopUp()) {
WalletLogPrintf("Could not top up scriptPubKeys\n");
return nullptr;
}
@@ -4666,7 +3466,7 @@ ScriptPubKeyMan* CWallet::AddWalletDescriptor(WalletDescriptor& desc, const Flat
// Apply the label if necessary
// Note: we disable labels for ranged descriptors
if (!desc.descriptor->IsRange()) {
- auto script_pub_keys = new_spk_man->GetScriptPubKeys();
+ auto script_pub_keys = spk_man->GetScriptPubKeys();
if (script_pub_keys.empty()) {
WalletLogPrintf("Could not generate scriptPubKeys (cache is empty)\n");
return nullptr;
@@ -4678,12 +3478,9 @@ ScriptPubKeyMan* CWallet::AddWalletDescriptor(WalletDescriptor& desc, const Flat
}
}
- // Save the descriptor to memory
- auto ret = new_spk_man.get();
- m_spk_managers[new_spk_man->GetID()] = std::move(new_spk_man);
-
// Save the descriptor to DB
- ret->WriteDescriptor();
+ spk_man->WriteDescriptor();
- return ret;
+ return spk_man;
}
+} // namespace wallet
diff --git a/src/wallet/wallet.h b/src/wallet/wallet.h
index eb797938cd..e2c5c69c91 100644
--- a/src/wallet/wallet.h
+++ b/src/wallet/wallet.h
@@ -1,12 +1,13 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_WALLET_H
#define BITCOIN_WALLET_WALLET_H
-#include <amount.h>
+#include <consensus/amount.h>
+#include <fs.h>
#include <interfaces/chain.h>
#include <interfaces/handler.h>
#include <outputtype.h>
@@ -22,7 +23,7 @@
#include <wallet/coinselection.h>
#include <wallet/crypter.h>
#include <wallet/scriptpubkeyman.h>
-#include <wallet/external_signer.h>
+#include <wallet/transaction.h>
#include <wallet/walletdb.h>
#include <wallet/walletutil.h>
@@ -30,6 +31,7 @@
#include <atomic>
#include <map>
#include <memory>
+#include <optional>
#include <set>
#include <stdexcept>
#include <stdint.h>
@@ -39,25 +41,33 @@
#include <boost/signals2/signal.hpp>
+
using LoadWalletFn = std::function<void(std::unique_ptr<interfaces::Wallet> wallet)>;
+class CScript;
+enum class FeeEstimateMode;
+struct FeeCalculation;
struct bilingual_str;
+namespace wallet {
+struct WalletContext;
+
//! Explicitly unload and delete the wallet.
//! Blocks the current thread after signaling the unload intent so that all
-//! wallet clients release the wallet.
+//! wallet pointer owners release the wallet.
//! Note that, when blocking is not required, the wallet is implicitly unloaded
//! by the shared pointer deleter.
void UnloadWallet(std::shared_ptr<CWallet>&& wallet);
-bool AddWallet(const std::shared_ptr<CWallet>& wallet);
-bool RemoveWallet(const std::shared_ptr<CWallet>& wallet, Optional<bool> load_on_start, std::vector<bilingual_str>& warnings);
-bool RemoveWallet(const std::shared_ptr<CWallet>& wallet, Optional<bool> load_on_start);
-std::vector<std::shared_ptr<CWallet>> GetWallets();
-std::shared_ptr<CWallet> GetWallet(const std::string& name);
-std::shared_ptr<CWallet> LoadWallet(interfaces::Chain& chain, const std::string& name, Optional<bool> load_on_start, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings);
-std::shared_ptr<CWallet> CreateWallet(interfaces::Chain& chain, const std::string& name, Optional<bool> load_on_start, DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings);
-std::unique_ptr<interfaces::Handler> HandleLoadWallet(LoadWalletFn load_wallet);
+bool AddWallet(WalletContext& context, const std::shared_ptr<CWallet>& wallet);
+bool RemoveWallet(WalletContext& context, const std::shared_ptr<CWallet>& wallet, std::optional<bool> load_on_start, std::vector<bilingual_str>& warnings);
+bool RemoveWallet(WalletContext& context, const std::shared_ptr<CWallet>& wallet, std::optional<bool> load_on_start);
+std::vector<std::shared_ptr<CWallet>> GetWallets(WalletContext& context);
+std::shared_ptr<CWallet> GetWallet(WalletContext& context, const std::string& name);
+std::shared_ptr<CWallet> LoadWallet(WalletContext& context, const std::string& name, std::optional<bool> load_on_start, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings);
+std::shared_ptr<CWallet> CreateWallet(WalletContext& context, const std::string& name, std::optional<bool> load_on_start, DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings);
+std::shared_ptr<CWallet> RestoreWallet(WalletContext& context, const fs::path& backup_file, const std::string& wallet_name, std::optional<bool> load_on_start, DatabaseStatus& status, bilingual_str& error, std::vector<bilingual_str>& warnings);
+std::unique_ptr<interfaces::Handler> HandleLoadWallet(WalletContext& context, LoadWalletFn load_wallet);
std::unique_ptr<WalletDatabase> MakeWalletDatabase(const std::string& name, const DatabaseOptions& options, DatabaseStatus& status, bilingual_str& error);
//! -paytxfee default
@@ -68,6 +78,8 @@ static const CAmount DEFAULT_FALLBACK_FEE = 0;
static const CAmount DEFAULT_DISCARD_FEE = 10000;
//! -mintxfee default
static const CAmount DEFAULT_TRANSACTION_MINFEE = 1000;
+//! -consolidatefeerate default
+static const CAmount DEFAULT_CONSOLIDATE_FEERATE{10000}; // 10 sat/vbyte
/**
* maximum fee increase allowed to do partial spend avoidance, even for nodes with this feature disabled by default
*
@@ -101,10 +113,7 @@ static constexpr size_t DUMMY_NESTED_P2WPKH_INPUT_SIZE = 91;
class CCoinControl;
class COutput;
-class CScript;
class CWalletTx;
-struct FeeCalculation;
-enum class FeeEstimateMode;
class ReserveDestination;
//! Default for -addresstype
@@ -114,6 +123,7 @@ static constexpr uint64_t KNOWN_WALLET_FLAGS =
WALLET_FLAG_AVOID_REUSE
| WALLET_FLAG_BLANK_WALLET
| WALLET_FLAG_KEY_ORIGIN_METADATA
+ | WALLET_FLAG_LAST_HARDENED_XPUB_CACHED
| WALLET_FLAG_DISABLE_PRIVATE_KEYS
| WALLET_FLAG_DESCRIPTORS
| WALLET_FLAG_EXTERNAL_SIGNER;
@@ -125,6 +135,7 @@ static const std::map<std::string,WalletFlags> WALLET_FLAG_MAP{
{"avoid_reuse", WALLET_FLAG_AVOID_REUSE},
{"blank", WALLET_FLAG_BLANK_WALLET},
{"key_origin_metadata", WALLET_FLAG_KEY_ORIGIN_METADATA},
+ {"last_hardened_xpub_cached", WALLET_FLAG_LAST_HARDENED_XPUB_CACHED},
{"disable_private_keys", WALLET_FLAG_DISABLE_PRIVATE_KEYS},
{"descriptor_wallet", WALLET_FLAG_DESCRIPTORS},
{"external_signer", WALLET_FLAG_EXTERNAL_SIGNER}
@@ -178,7 +189,7 @@ public:
}
//! Reserve an address
- bool GetReservedDestination(CTxDestination& pubkey, bool internal);
+ bool GetReservedDestination(CTxDestination& pubkey, bool internal, bilingual_str& error);
//! Return reserved address
void ReturnDestination();
//! Keep the address. Do not return it's key to the keypool when this object goes out of scope
@@ -214,417 +225,6 @@ struct CRecipient
bool fSubtractFeeFromAmount;
};
-typedef std::map<std::string, std::string> mapValue_t;
-
-
-static inline void ReadOrderPos(int64_t& nOrderPos, mapValue_t& mapValue)
-{
- if (!mapValue.count("n"))
- {
- nOrderPos = -1; // TODO: calculate elsewhere
- return;
- }
- nOrderPos = atoi64(mapValue["n"]);
-}
-
-
-static inline void WriteOrderPos(const int64_t& nOrderPos, mapValue_t& mapValue)
-{
- if (nOrderPos == -1)
- return;
- mapValue["n"] = ToString(nOrderPos);
-}
-
-struct COutputEntry
-{
- CTxDestination destination;
- CAmount amount;
- int vout;
-};
-
-/** Legacy class used for deserializing vtxPrev for backwards compatibility.
- * vtxPrev was removed in commit 93a18a3650292afbb441a47d1fa1b94aeb0164e3,
- * but old wallet.dat files may still contain vtxPrev vectors of CMerkleTxs.
- * These need to get deserialized for field alignment when deserializing
- * a CWalletTx, but the deserialized values are discarded.**/
-class CMerkleTx
-{
-public:
- template<typename Stream>
- void Unserialize(Stream& s)
- {
- CTransactionRef tx;
- uint256 hashBlock;
- std::vector<uint256> vMerkleBranch;
- int nIndex;
-
- s >> tx >> hashBlock >> vMerkleBranch >> nIndex;
- }
-};
-
-//Get the marginal bytes of spending the specified output
-int CalculateMaximumSignedInputSize(const CTxOut& txout, const CWallet* pwallet, bool use_max_sig = false);
-
-/**
- * A transaction with a bunch of additional info that only the owner cares about.
- * It includes any unrecorded transactions needed to link it back to the block chain.
- */
-class CWalletTx
-{
-private:
- const CWallet* const pwallet;
-
- /** Constant used in hashBlock to indicate tx has been abandoned, only used at
- * serialization/deserialization to avoid ambiguity with conflicted.
- */
- static constexpr const uint256& ABANDON_HASH = uint256::ONE;
-
-public:
- /**
- * Key/value map with information about the transaction.
- *
- * The following keys can be read and written through the map and are
- * serialized in the wallet database:
- *
- * "comment", "to" - comment strings provided to sendtoaddress,
- * and sendmany wallet RPCs
- * "replaces_txid" - txid (as HexStr) of transaction replaced by
- * bumpfee on transaction created by bumpfee
- * "replaced_by_txid" - txid (as HexStr) of transaction created by
- * bumpfee on transaction replaced by bumpfee
- * "from", "message" - obsolete fields that could be set in UI prior to
- * 2011 (removed in commit 4d9b223)
- *
- * The following keys are serialized in the wallet database, but shouldn't
- * be read or written through the map (they will be temporarily added and
- * removed from the map during serialization):
- *
- * "fromaccount" - serialized strFromAccount value
- * "n" - serialized nOrderPos value
- * "timesmart" - serialized nTimeSmart value
- * "spent" - serialized vfSpent value that existed prior to
- * 2014 (removed in commit 93a18a3)
- */
- mapValue_t mapValue;
- std::vector<std::pair<std::string, std::string> > vOrderForm;
- unsigned int fTimeReceivedIsTxTime;
- unsigned int nTimeReceived; //!< time received by this node
- /**
- * Stable timestamp that never changes, and reflects the order a transaction
- * was added to the wallet. Timestamp is based on the block time for a
- * transaction added as part of a block, or else the time when the
- * transaction was received if it wasn't part of a block, with the timestamp
- * adjusted in both cases so timestamp order matches the order transactions
- * were added to the wallet. More details can be found in
- * CWallet::ComputeTimeSmart().
- */
- unsigned int nTimeSmart;
- /**
- * From me flag is set to 1 for transactions that were created by the wallet
- * on this bitcoin node, and set to 0 for transactions that were created
- * externally and came in through the network or sendrawtransaction RPC.
- */
- bool fFromMe;
- int64_t nOrderPos; //!< position in ordered transaction list
- std::multimap<int64_t, CWalletTx*>::const_iterator m_it_wtxOrdered;
-
- // memory only
- enum AmountType { DEBIT, CREDIT, IMMATURE_CREDIT, AVAILABLE_CREDIT, AMOUNTTYPE_ENUM_ELEMENTS };
- CAmount GetCachableAmount(AmountType type, const isminefilter& filter, bool recalculate = false) const;
- mutable CachableAmount m_amounts[AMOUNTTYPE_ENUM_ELEMENTS];
- /**
- * This flag is true if all m_amounts caches are empty. This is particularly
- * useful in places where MarkDirty is conditionally called and the
- * condition can be expensive and thus can be skipped if the flag is true.
- * See MarkDestinationsDirty.
- */
- mutable bool m_is_cache_empty{true};
- mutable bool fChangeCached;
- mutable bool fInMempool;
- mutable CAmount nChangeCached;
-
- CWalletTx(const CWallet* wallet, CTransactionRef arg)
- : pwallet(wallet),
- tx(std::move(arg))
- {
- Init();
- }
-
- void Init()
- {
- mapValue.clear();
- vOrderForm.clear();
- fTimeReceivedIsTxTime = false;
- nTimeReceived = 0;
- nTimeSmart = 0;
- fFromMe = false;
- fChangeCached = false;
- fInMempool = false;
- nChangeCached = 0;
- nOrderPos = -1;
- m_confirm = Confirmation{};
- }
-
- CTransactionRef tx;
-
- /* New transactions start as UNCONFIRMED. At BlockConnected,
- * they will transition to CONFIRMED. In case of reorg, at BlockDisconnected,
- * they roll back to UNCONFIRMED. If we detect a conflicting transaction at
- * block connection, we update conflicted tx and its dependencies as CONFLICTED.
- * If tx isn't confirmed and outside of mempool, the user may switch it to ABANDONED
- * by using the abandontransaction call. This last status may be override by a CONFLICTED
- * or CONFIRMED transition.
- */
- enum Status {
- UNCONFIRMED,
- CONFIRMED,
- CONFLICTED,
- ABANDONED
- };
-
- /* Confirmation includes tx status and a triplet of {block height/block hash/tx index in block}
- * at which tx has been confirmed. All three are set to 0 if tx is unconfirmed or abandoned.
- * Meaning of these fields changes with CONFLICTED state where they instead point to block hash
- * and block height of the deepest conflicting tx.
- */
- struct Confirmation {
- Status status;
- int block_height;
- uint256 hashBlock;
- int nIndex;
- Confirmation(Status s = UNCONFIRMED, int b = 0, uint256 h = uint256(), int i = 0) : status(s), block_height(b), hashBlock(h), nIndex(i) {}
- };
-
- Confirmation m_confirm;
-
- template<typename Stream>
- void Serialize(Stream& s) const
- {
- mapValue_t mapValueCopy = mapValue;
-
- mapValueCopy["fromaccount"] = "";
- WriteOrderPos(nOrderPos, mapValueCopy);
- if (nTimeSmart) {
- mapValueCopy["timesmart"] = strprintf("%u", nTimeSmart);
- }
-
- std::vector<char> dummy_vector1; //!< Used to be vMerkleBranch
- std::vector<char> dummy_vector2; //!< Used to be vtxPrev
- bool dummy_bool = false; //!< Used to be fSpent
- uint256 serializedHash = isAbandoned() ? ABANDON_HASH : m_confirm.hashBlock;
- int serializedIndex = isAbandoned() || isConflicted() ? -1 : m_confirm.nIndex;
- s << tx << serializedHash << dummy_vector1 << serializedIndex << dummy_vector2 << mapValueCopy << vOrderForm << fTimeReceivedIsTxTime << nTimeReceived << fFromMe << dummy_bool;
- }
-
- template<typename Stream>
- void Unserialize(Stream& s)
- {
- Init();
-
- std::vector<uint256> dummy_vector1; //!< Used to be vMerkleBranch
- std::vector<CMerkleTx> dummy_vector2; //!< Used to be vtxPrev
- bool dummy_bool; //! Used to be fSpent
- int serializedIndex;
- s >> tx >> m_confirm.hashBlock >> dummy_vector1 >> serializedIndex >> dummy_vector2 >> mapValue >> vOrderForm >> fTimeReceivedIsTxTime >> nTimeReceived >> fFromMe >> dummy_bool;
-
- /* At serialization/deserialization, an nIndex == -1 means that hashBlock refers to
- * the earliest block in the chain we know this or any in-wallet ancestor conflicts
- * with. If nIndex == -1 and hashBlock is ABANDON_HASH, it means transaction is abandoned.
- * In same context, an nIndex >= 0 refers to a confirmed transaction (if hashBlock set) or
- * unconfirmed one. Older clients interpret nIndex == -1 as unconfirmed for backward
- * compatibility (pre-commit 9ac63d6).
- */
- if (serializedIndex == -1 && m_confirm.hashBlock == ABANDON_HASH) {
- setAbandoned();
- } else if (serializedIndex == -1) {
- setConflicted();
- } else if (!m_confirm.hashBlock.IsNull()) {
- m_confirm.nIndex = serializedIndex;
- setConfirmed();
- }
-
- ReadOrderPos(nOrderPos, mapValue);
- nTimeSmart = mapValue.count("timesmart") ? (unsigned int)atoi64(mapValue["timesmart"]) : 0;
-
- mapValue.erase("fromaccount");
- mapValue.erase("spent");
- mapValue.erase("n");
- mapValue.erase("timesmart");
- }
-
- void SetTx(CTransactionRef arg)
- {
- tx = std::move(arg);
- }
-
- //! make sure balances are recalculated
- void MarkDirty()
- {
- m_amounts[DEBIT].Reset();
- m_amounts[CREDIT].Reset();
- m_amounts[IMMATURE_CREDIT].Reset();
- m_amounts[AVAILABLE_CREDIT].Reset();
- fChangeCached = false;
- m_is_cache_empty = true;
- }
-
- //! filter decides which addresses will count towards the debit
- CAmount GetDebit(const isminefilter& filter) const;
- CAmount GetCredit(const isminefilter& filter) const;
- CAmount GetImmatureCredit(bool fUseCache = true) const;
- // TODO: Remove "NO_THREAD_SAFETY_ANALYSIS" and replace it with the correct
- // annotation "EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)". The
- // annotation "NO_THREAD_SAFETY_ANALYSIS" was temporarily added to avoid
- // having to resolve the issue of member access into incomplete type CWallet.
- CAmount GetAvailableCredit(bool fUseCache = true, const isminefilter& filter = ISMINE_SPENDABLE) const NO_THREAD_SAFETY_ANALYSIS;
- CAmount GetImmatureWatchOnlyCredit(const bool fUseCache = true) const;
- CAmount GetChange() const;
-
- // Get the marginal bytes if spending the specified output from this transaction
- int GetSpendSize(unsigned int out, bool use_max_sig = false) const
- {
- return CalculateMaximumSignedInputSize(tx->vout[out], pwallet, use_max_sig);
- }
-
- void GetAmounts(std::list<COutputEntry>& listReceived,
- std::list<COutputEntry>& listSent, CAmount& nFee, const isminefilter& filter) const;
-
- bool IsFromMe(const isminefilter& filter) const
- {
- return (GetDebit(filter) > 0);
- }
-
- // True if only scriptSigs are different
- bool IsEquivalentTo(const CWalletTx& tx) const;
-
- bool InMempool() const;
- bool IsTrusted() const;
-
- int64_t GetTxTime() const;
-
- // Pass this transaction to node for mempool insertion and relay to peers if flag set to true
- bool SubmitMemoryPoolAndRelay(std::string& err_string, bool relay);
-
- // TODO: Remove "NO_THREAD_SAFETY_ANALYSIS" and replace it with the correct
- // annotation "EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)". The annotation
- // "NO_THREAD_SAFETY_ANALYSIS" was temporarily added to avoid having to
- // resolve the issue of member access into incomplete type CWallet. Note
- // that we still have the runtime check "AssertLockHeld(pwallet->cs_wallet)"
- // in place.
- std::set<uint256> GetConflicts() const NO_THREAD_SAFETY_ANALYSIS;
-
- /**
- * Return depth of transaction in blockchain:
- * <0 : conflicts with a transaction this deep in the blockchain
- * 0 : in memory pool, waiting to be included in a block
- * >=1 : this many blocks deep in the main chain
- */
- // TODO: Remove "NO_THREAD_SAFETY_ANALYSIS" and replace it with the correct
- // annotation "EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)". The annotation
- // "NO_THREAD_SAFETY_ANALYSIS" was temporarily added to avoid having to
- // resolve the issue of member access into incomplete type CWallet. Note
- // that we still have the runtime check "AssertLockHeld(pwallet->cs_wallet)"
- // in place.
- int GetDepthInMainChain() const NO_THREAD_SAFETY_ANALYSIS;
- bool IsInMainChain() const { return GetDepthInMainChain() > 0; }
-
- /**
- * @return number of blocks to maturity for this transaction:
- * 0 : is not a coinbase transaction, or is a mature coinbase transaction
- * >0 : is a coinbase transaction which matures in this many blocks
- */
- int GetBlocksToMaturity() const;
- bool isAbandoned() const { return m_confirm.status == CWalletTx::ABANDONED; }
- void setAbandoned()
- {
- m_confirm.status = CWalletTx::ABANDONED;
- m_confirm.hashBlock = uint256();
- m_confirm.block_height = 0;
- m_confirm.nIndex = 0;
- }
- bool isConflicted() const { return m_confirm.status == CWalletTx::CONFLICTED; }
- void setConflicted() { m_confirm.status = CWalletTx::CONFLICTED; }
- bool isUnconfirmed() const { return m_confirm.status == CWalletTx::UNCONFIRMED; }
- void setUnconfirmed() { m_confirm.status = CWalletTx::UNCONFIRMED; }
- bool isConfirmed() const { return m_confirm.status == CWalletTx::CONFIRMED; }
- void setConfirmed() { m_confirm.status = CWalletTx::CONFIRMED; }
- const uint256& GetHash() const { return tx->GetHash(); }
- bool IsCoinBase() const { return tx->IsCoinBase(); }
- bool IsImmatureCoinBase() const;
-
- // Disable copying of CWalletTx objects to prevent bugs where instances get
- // copied in and out of the mapWallet map, and fields are updated in the
- // wrong copy.
- CWalletTx(CWalletTx const &) = delete;
- void operator=(CWalletTx const &x) = delete;
-};
-
-class COutput
-{
-public:
- const CWalletTx *tx;
- int i;
- int nDepth;
-
- /** Pre-computed estimated size of this output as a fully-signed input in a transaction. Can be -1 if it could not be calculated */
- int nInputBytes;
-
- /** Whether we have the private keys to spend this output */
- bool fSpendable;
-
- /** Whether we know how to spend this output, ignoring the lack of keys */
- bool fSolvable;
-
- /** Whether to use the maximum sized, 72 byte signature when calculating the size of the input spend. This should only be set when watch-only outputs are allowed */
- bool use_max_sig;
-
- /**
- * Whether this output is considered safe to spend. Unconfirmed transactions
- * from outside keys and unconfirmed replacement transactions are considered
- * unsafe and will not be used to fund new spending transactions.
- */
- bool fSafe;
-
- COutput(const CWalletTx *txIn, int iIn, int nDepthIn, bool fSpendableIn, bool fSolvableIn, bool fSafeIn, bool use_max_sig_in = false)
- {
- tx = txIn; i = iIn; nDepth = nDepthIn; fSpendable = fSpendableIn; fSolvable = fSolvableIn; fSafe = fSafeIn; nInputBytes = -1; use_max_sig = use_max_sig_in;
- // If known and signable by the given wallet, compute nInputBytes
- // Failure will keep this value -1
- if (fSpendable && tx) {
- nInputBytes = tx->GetSpendSize(i, use_max_sig);
- }
- }
-
- std::string ToString() const;
-
- inline CInputCoin GetInputCoin() const
- {
- return CInputCoin(tx->tx, i, nInputBytes);
- }
-};
-
-struct CoinSelectionParams
-{
- bool use_bnb = true;
- size_t change_output_size = 0;
- size_t change_spend_size = 0;
- CFeeRate effective_fee = CFeeRate(0);
- size_t tx_noinputs_size = 0;
- //! Indicate that we are subtracting the fee from outputs
- bool m_subtract_fee_outputs = false;
- bool m_avoid_partial_spends = false;
-
- CoinSelectionParams(bool use_bnb, size_t change_output_size, size_t change_spend_size, CFeeRate effective_fee, size_t tx_noinputs_size, bool avoid_partial) :
- use_bnb(use_bnb),
- change_output_size(change_output_size),
- change_spend_size(change_spend_size),
- effective_fee(effective_fee),
- tx_noinputs_size(tx_noinputs_size),
- m_avoid_partial_spends(avoid_partial)
- {}
- CoinSelectionParams() {}
-};
-
class WalletRescanReserver; //forward declarations for ScanForWalletTransactions/RescanFromTime
/**
* A CWallet maintains a set of transactions and balances, and provides the ability to create new transactions.
@@ -634,7 +234,6 @@ class CWallet final : public WalletStorage, public interfaces::Chain::Notificati
private:
CKeyingMaterial vMasterKey GUARDED_BY(cs_wallet);
-
bool Unlock(const CKeyingMaterial& vMasterKeyIn, bool accept_no_keys = false);
std::atomic<bool> fAbortRescan{false};
@@ -646,7 +245,10 @@ private:
//! the current wallet version: clients below this version are not able to load the wallet
int nWalletVersion GUARDED_BY(cs_wallet){FEATURE_BASE};
+ /** The next scheduled rebroadcast of wallet transactions. */
int64_t nNextResend = 0;
+ /** Whether this wallet will submit newly created transactions to the node's mempool and
+ * prompt rebroadcasts (see ResendWalletTransactions()). */
bool fBroadcastTransactions = false;
// Local time that the tip block was received. Used to schedule wallet rebroadcasts.
std::atomic<int64_t> m_best_block_time {0};
@@ -658,13 +260,13 @@ private:
*/
typedef std::multimap<COutPoint, uint256> TxSpends;
TxSpends mapTxSpends GUARDED_BY(cs_wallet);
- void AddToSpends(const COutPoint& outpoint, const uint256& wtxid) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- void AddToSpends(const uint256& wtxid) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ void AddToSpends(const COutPoint& outpoint, const uint256& wtxid, WalletBatch* batch = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ void AddToSpends(const uint256& wtxid, WalletBatch* batch = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
/**
- * Add a transaction to the wallet, or update it. pIndex and posInBlock should
+ * Add a transaction to the wallet, or update it. confirm.block_* should
* be set when the transaction was known to be included in a block. When
- * pIndex == nullptr, then wallet state is not updated in AddToWallet, but
+ * block_hash.IsNull(), then wallet state is not updated in AddToWallet, but
* notifications happen and cached balances are marked dirty.
*
* If fUpdate is true, existing transactions will be updated.
@@ -672,22 +274,24 @@ private:
* assumption that any further notification of a transaction that was considered
* abandoned is an indication that it is not safe to be considered abandoned.
* Abandoned state should probably be more carefully tracked via different
- * posInBlock signals or by checking mempool presence when necessary.
+ * chain notifications or by checking mempool presence when necessary.
+ *
+ * Should be called with rescanning_old_block set to true, if the transaction is
+ * not discovered in real time, but during a rescan of old blocks.
*/
- bool AddToWalletIfInvolvingMe(const CTransactionRef& tx, CWalletTx::Confirmation confirm, bool fUpdate) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ bool AddToWalletIfInvolvingMe(const CTransactionRef& tx, const SyncTxState& state, bool fUpdate, bool rescanning_old_block) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- /* Mark a transaction (and its in-wallet descendants) as conflicting with a particular block. */
+ /** Mark a transaction (and its in-wallet descendants) as conflicting with a particular block. */
void MarkConflicted(const uint256& hashBlock, int conflicting_height, const uint256& hashTx);
- /* Mark a transaction's inputs dirty, thus forcing the outputs to be recomputed */
+ /** Mark a transaction's inputs dirty, thus forcing the outputs to be recomputed */
void MarkInputsDirty(const CTransactionRef& tx) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
void SyncMetaData(std::pair<TxSpends::iterator, TxSpends::iterator>) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- /* Used by TransactionAddedToMemorypool/BlockConnected/Disconnected/ScanForWalletTransactions.
- * Should be called with non-zero block_hash and posInBlock if this is for a transaction that is included in a block. */
- void SyncTransaction(const CTransactionRef& tx, CWalletTx::Confirmation confirm, bool update_tx = true) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ void SyncTransaction(const CTransactionRef& tx, const SyncTxState& state, bool update_tx = true, bool rescanning_old_block = false) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ /** WalletFlags set on this wallet. */
std::atomic<uint64_t> m_wallet_flags{0};
bool SetAddressBookWithDB(WalletBatch& batch, const CTxDestination& address, const std::string& strName, const std::string& strPurpose);
@@ -698,6 +302,9 @@ private:
//! Unset the blank wallet flag and saves it to disk
void UnsetBlankWalletFlag(WalletBatch& batch) override;
+ /** Provider of aplication-wide arguments. */
+ const ArgsManager& m_args;
+
/** Interface for accessing chain state. */
interfaces::Chain* m_chain;
@@ -716,7 +323,7 @@ private:
*/
uint256 m_last_block_processed GUARDED_BY(cs_wallet);
- /* Height of last block processed is used by wallet to know depth of transactions
+ /** Height of last block processed is used by wallet to know depth of transactions
* without relying on Chain interface beyond asynchronous updates. For safety, we
* initialize it to -1. Height is a pointer on node's tip and doesn't imply
* that the wallet has scanned sequentially all blocks up to this one.
@@ -730,10 +337,15 @@ private:
// ScriptPubKeyMan::GetID. In many cases it will be the hash of an internal structure
std::map<uint256, std::unique_ptr<ScriptPubKeyMan>> m_spk_managers;
- bool CreateTransactionInternal(const std::vector<CRecipient>& vecSend, CTransactionRef& tx, CAmount& nFeeRet, int& nChangePosInOut, bilingual_str& error, const CCoinControl& coin_control, FeeCalculation& fee_calc_out, bool sign);
+ /**
+ * Catch wallet up to current chain, scanning new blocks, updating the best
+ * block locator and m_last_block_processed, and registering for
+ * notifications about new blocks and transactions.
+ */
+ static bool AttachChain(const std::shared_ptr<CWallet>& wallet, interfaces::Chain& chain, const bool rescan_required, bilingual_str& error, std::vector<bilingual_str>& warnings);
public:
- /*
+ /**
* Main wallet lock.
* This lock protects all the fields added by CWallet.
*/
@@ -745,14 +357,6 @@ public:
return *m_database;
}
- /**
- * Select a set of coins such that nValueRet >= nTargetValue and at least
- * all coins from coinControl are selected; Never select unconfirmed coins
- * if they are not ours
- */
- bool SelectCoins(const std::vector<COutput>& vAvailableCoins, const CAmount& nTargetValue, std::set<CInputCoin>& setCoinsRet, CAmount& nValueRet,
- const CCoinControl& coin_control, CoinSelectionParams& coin_selection_params, bool& bnb_used) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
-
/** Get a name for this wallet for logging/debugging purposes.
*/
const std::string& GetName() const { return m_name; }
@@ -762,8 +366,9 @@ public:
unsigned int nMasterKeyMaxID = 0;
/** Construct wallet with specified name and database implementation. */
- CWallet(interfaces::Chain* chain, const std::string& name, std::unique_ptr<WalletDatabase> database)
- : m_chain(chain),
+ CWallet(interfaces::Chain* chain, const std::string& name, const ArgsManager& args, std::unique_ptr<WalletDatabase> database)
+ : m_args(args),
+ m_chain(chain),
m_name(name),
m_database(std::move(database))
{
@@ -782,6 +387,8 @@ public:
/** Interface to assert chain access */
bool HaveChain() const { return m_chain ? true : false; }
+ /** Map from txid to CWalletTx for all transactions this wallet is
+ * interested in, including received and sent transactions. */
std::map<uint256, CWalletTx> mapWallet GUARDED_BY(cs_wallet);
typedef std::multimap<int64_t, CWalletTx*> TxItems;
@@ -793,6 +400,10 @@ public:
std::map<CTxDestination, CAddressBookData> m_address_book GUARDED_BY(cs_wallet);
const CAddressBookData* FindAddressBookEntry(const CTxDestination&, bool allow_change = false) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ /** Set of Coins owned by this wallet that we won't try to spend from. A
+ * Coin may be locked if it has already been used to fund a transaction
+ * that hasn't confirmed yet. We wouldn't consider the Coin spent already,
+ * but also shouldn't try to use it again. */
std::set<COutPoint> setLockedCoins GUARDED_BY(cs_wallet);
/** Registered interfaces::Chain::Notifications handler. */
@@ -802,34 +413,40 @@ public:
interfaces::Chain& chain() const { assert(m_chain); return *m_chain; }
const CWalletTx* GetWalletTx(const uint256& hash) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- bool IsTrusted(const CWalletTx& wtx, std::set<uint256>& trusted_parents) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
-
- //! check whether we support the named feature
- bool CanSupportFeature(enum WalletFeature wf) const override EXCLUSIVE_LOCKS_REQUIRED(cs_wallet) { AssertLockHeld(cs_wallet); return IsFeatureSupported(nWalletVersion, wf); }
- /**
- * populate vCoins with vector of available COutputs.
- */
- void AvailableCoins(std::vector<COutput>& vCoins, bool fOnlySafe = true, const CCoinControl* coinControl = nullptr, const CAmount& nMinimumAmount = 1, const CAmount& nMaximumAmount = MAX_MONEY, const CAmount& nMinimumSumAmount = MAX_MONEY, const uint64_t nMaximumCount = 0) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ // TODO: Remove "NO_THREAD_SAFETY_ANALYSIS" and replace it with the correct
+ // annotation "EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)". The annotation
+ // "NO_THREAD_SAFETY_ANALYSIS" was temporarily added to avoid having to
+ // resolve the issue of member access into incomplete type CWallet. Note
+ // that we still have the runtime check "AssertLockHeld(pwallet->cs_wallet)"
+ // in place.
+ std::set<uint256> GetTxConflicts(const CWalletTx& wtx) const NO_THREAD_SAFETY_ANALYSIS;
/**
- * Return list of available coins and locked coins grouped by non-change output address.
+ * Return depth of transaction in blockchain:
+ * <0 : conflicts with a transaction this deep in the blockchain
+ * 0 : in memory pool, waiting to be included in a block
+ * >=1 : this many blocks deep in the main chain
*/
- std::map<CTxDestination, std::vector<COutput>> ListCoins() const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ // TODO: Remove "NO_THREAD_SAFETY_ANALYSIS" and replace it with the correct
+ // annotation "EXCLUSIVE_LOCKS_REQUIRED(pwallet->cs_wallet)". The annotation
+ // "NO_THREAD_SAFETY_ANALYSIS" was temporarily added to avoid having to
+ // resolve the issue of member access into incomplete type CWallet. Note
+ // that we still have the runtime check "AssertLockHeld(pwallet->cs_wallet)"
+ // in place.
+ int GetTxDepthInMainChain(const CWalletTx& wtx) const NO_THREAD_SAFETY_ANALYSIS;
+ bool IsTxInMainChain(const CWalletTx& wtx) const { return GetTxDepthInMainChain(wtx) > 0; }
/**
- * Find non-change parent output.
+ * @return number of blocks to maturity for this transaction:
+ * 0 : is not a coinbase transaction, or is a mature coinbase transaction
+ * >0 : is a coinbase transaction which matures in this many blocks
*/
- const CTxOut& FindNonChangeParentOutput(const CTransaction& tx, int output) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ int GetTxBlocksToMaturity(const CWalletTx& wtx) const;
+ bool IsTxImmatureCoinBase(const CWalletTx& wtx) const;
- /**
- * Shuffle and select coins until nTargetValue is reached while avoiding
- * small change; This method is stochastic for some inputs and upon
- * completion the coin set and corresponding actual target value is
- * assembled
- */
- bool SelectCoinsMinConf(const CAmount& nTargetValue, const CoinEligibilityFilter& eligibility_filter, std::vector<COutput> coins,
- std::set<CInputCoin>& setCoinsRet, CAmount& nValueRet, const CoinSelectionParams& coin_selection_params, bool& bnb_used) const;
+ //! check whether we support the named feature
+ bool CanSupportFeature(enum WalletFeature wf) const override EXCLUSIVE_LOCKS_REQUIRED(cs_wallet) { AssertLockHeld(cs_wallet); return IsFeatureSupported(nWalletVersion, wf); }
bool IsSpent(const uint256& hash, unsigned int n) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
@@ -837,18 +454,13 @@ public:
bool IsSpentKey(const uint256& hash, unsigned int n) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
void SetSpentKeyState(WalletBatch& batch, const uint256& hash, unsigned int n, bool used, std::set<CTxDestination>& tx_destinations) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- std::vector<OutputGroup> GroupOutputs(const std::vector<COutput>& outputs, bool separate_coins, const CFeeRate& effective_feerate, const CFeeRate& long_term_feerate, const CoinEligibilityFilter& filter, bool positive_only) const;
-
-#ifdef ENABLE_EXTERNAL_SIGNER
- ExternalSigner GetExternalSigner() EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
-#endif
/** Display address on an external signer. Returns false if external signer support is not compiled */
bool DisplayAddress(const CTxDestination& dest) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
bool IsLockedCoin(uint256 hash, unsigned int n) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- void LockCoin(const COutPoint& output) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- void UnlockCoin(const COutPoint& output) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- void UnlockAllCoins() EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ bool LockCoin(const COutPoint& output, WalletBatch* batch = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ bool UnlockCoin(const COutPoint& output, WalletBatch* batch = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ bool UnlockAllCoins() EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
void ListLockedCoins(std::vector<COutPoint>& vOutpts) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
/*
@@ -863,21 +475,13 @@ public:
//! Upgrade stored CKeyMetadata objects to store key origin info as KeyOriginInfo
void UpgradeKeyMetadata() EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ //! Upgrade DescriptorCaches
+ void UpgradeDescriptorCache() EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+
bool LoadMinVersion(int nVersion) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet) { AssertLockHeld(cs_wallet); nWalletVersion = nVersion; return true; }
- /**
- * Adds a destination data tuple to the store, and saves it to disk
- * When adding new fields, take care to consider how DelAddressBook should handle it!
- */
- bool AddDestData(WalletBatch& batch, const CTxDestination& dest, const std::string& key, const std::string& value) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- //! Erases a destination data tuple in the store and on disk
- bool EraseDestData(WalletBatch& batch, const CTxDestination& dest, const std::string& key) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
//! Adds a destination data tuple to the store, without saving it to disk
void LoadDestData(const CTxDestination& dest, const std::string& key, const std::string& value) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- //! Look up a destination data tuple in the store, return true if found false otherwise
- bool GetDestData(const CTxDestination& dest, const std::string& key, std::string* value) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- //! Get all destination values matching a prefix.
- std::vector<std::string> GetDestValues(const std::string& prefix) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
//! Holds a timestamp at which point the wallet is scheduled (externally) to be relocked. Caller must arrange for actual relocking to occur via Lock().
int64_t nRelockTime GUARDED_BY(cs_wallet){0};
@@ -889,7 +493,7 @@ public:
bool EncryptWallet(const SecureString& strWalletPassphrase);
void GetKeyBirthTimes(std::map<CKeyID, int64_t> &mapKeyBirth) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- unsigned int ComputeTimeSmart(const CWalletTx& wtx) const;
+ unsigned int ComputeTimeSmart(const CWalletTx& wtx, bool rescanning_old_block) const;
/**
* Increment the next transaction order id
@@ -908,7 +512,7 @@ public:
//! @return true if wtx is changed and needs to be saved to disk, otherwise false
using UpdateWalletTxFn = std::function<bool(CWalletTx& wtx, bool new_tx)>;
- CWalletTx* AddToWallet(CTransactionRef tx, const CWalletTx::Confirmation& confirm, const UpdateWalletTxFn& update_wtx=nullptr, bool fFlushOnClose=true);
+ CWalletTx* AddToWallet(CTransactionRef tx, const TxState& state, const UpdateWalletTxFn& update_wtx=nullptr, bool fFlushOnClose=true, bool rescanning_old_block = false);
bool LoadToWallet(const uint256& hash, const UpdateWalletTxFn& fill_wtx) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
void transactionAddedToMempool(const CTransactionRef& tx, uint64_t mempool_sequence) override;
void blockConnected(const CBlock& block, int height) override;
@@ -923,7 +527,7 @@ public:
//! Unset if no blocks were scanned due to read errors or the chain
//! being empty.
uint256 last_scanned_block;
- Optional<int> last_scanned_height;
+ std::optional<int> last_scanned_height;
//! Height of the most recent block that could not be scanned due to
//! read errors or pruning. Will be set if status is FAILURE, unset if
@@ -931,32 +535,17 @@ public:
//! USER_ABORT.
uint256 last_failed_block;
};
- ScanResult ScanForWalletTransactions(const uint256& start_block, int start_height, Optional<int> max_height, const WalletRescanReserver& reserver, bool fUpdate);
+ ScanResult ScanForWalletTransactions(const uint256& start_block, int start_height, std::optional<int> max_height, const WalletRescanReserver& reserver, bool fUpdate);
void transactionRemovedFromMempool(const CTransactionRef& tx, MemPoolRemovalReason reason, uint64_t mempool_sequence) override;
void ReacceptWalletTransactions() EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
void ResendWalletTransactions();
- struct Balance {
- CAmount m_mine_trusted{0}; //!< Trusted, at depth=GetBalance.min_depth or more
- CAmount m_mine_untrusted_pending{0}; //!< Untrusted, but in mempool (pending)
- CAmount m_mine_immature{0}; //!< Immature coinbases in the main chain
- CAmount m_watchonly_trusted{0};
- CAmount m_watchonly_untrusted_pending{0};
- CAmount m_watchonly_immature{0};
- };
- Balance GetBalance(int min_depth = 0, bool avoid_reuse = true) const;
- CAmount GetAvailableBalance(const CCoinControl* coinControl = nullptr) const;
- OutputType TransactionChangeType(const Optional<OutputType>& change_type, const std::vector<CRecipient>& vecSend) const;
+ OutputType TransactionChangeType(const std::optional<OutputType>& change_type, const std::vector<CRecipient>& vecSend) const;
- /**
- * Insert additional inputs into the transaction by
- * calling CreateTransaction();
- */
- bool FundTransaction(CMutableTransaction& tx, CAmount& nFeeRet, int& nChangePosInOut, bilingual_str& error, bool lockUnspents, const std::set<int>& setSubtractFeeFromOutputs, CCoinControl);
- // Fetch the inputs and sign with SIGHASH_ALL.
+ /** Fetch the inputs and sign with SIGHASH_ALL. */
bool SignTransaction(CMutableTransaction& tx) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- // Sign the tx given the input coins and sighash.
- bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, std::string>& input_errors) const;
+ /** Sign the tx given the input coins and sighash. */
+ bool SignTransaction(CMutableTransaction& tx, const std::map<COutPoint, Coin>& coins, int sighash, std::map<int, bilingual_str>& input_errors) const;
SigningResult SignMessage(const std::string& message, const PKHash& pkhash, std::string& str_sig) const;
/**
@@ -970,22 +559,19 @@ public:
* @param[in] sighash_type the sighash type to use when signing (if PSBT does not specify)
* @param[in] sign whether to sign or not
* @param[in] bip32derivs whether to fill in bip32 derivation information if available
+ * @param[out] n_signed the number of inputs signed by this wallet
+ * @param[in] finalize whether to create the final scriptSig or scriptWitness if possible
* return error
*/
TransactionError FillPSBT(PartiallySignedTransaction& psbtx,
bool& complete,
- int sighash_type = 1 /* SIGHASH_ALL */,
+ int sighash_type = SIGHASH_DEFAULT,
bool sign = true,
bool bip32derivs = true,
- size_t* n_signed = nullptr) const;
+ size_t* n_signed = nullptr,
+ bool finalize = true) const;
/**
- * Create a new transaction paying the recipients with a set of coins
- * selected by SelectCoins(); Also create the change output, when needed
- * @note passing nChangePosInOut as -1 will result in setting a random position
- */
- bool CreateTransaction(const std::vector<CRecipient>& vecSend, CTransactionRef& tx, CAmount& nFeeRet, int& nChangePosInOut, bilingual_str& error, const CCoinControl& coin_control, FeeCalculation& fee_calc_out, bool sign = true);
- /**
* Submit the transaction to the node's mempool and then relay to peers.
* Should be called after CreateTransaction unless you want to abort
* broadcasting the transaction.
@@ -996,14 +582,16 @@ public:
*/
void CommitTransaction(CTransactionRef tx, mapValue_t mapValue, std::vector<std::pair<std::string, std::string>> orderForm);
- bool DummySignTx(CMutableTransaction &txNew, const std::set<CTxOut> &txouts, bool use_max_sig = false) const
+ /** Pass this transaction to node for mempool insertion and relay to peers if flag set to true */
+ bool SubmitTxMemoryPoolAndRelay(CWalletTx& wtx, std::string& err_string, bool relay) const;
+
+ bool DummySignTx(CMutableTransaction &txNew, const std::set<CTxOut> &txouts, const CCoinControl* coin_control = nullptr) const
{
std::vector<CTxOut> v_txouts(txouts.size());
std::copy(txouts.begin(), txouts.end(), v_txouts.begin());
- return DummySignTx(txNew, v_txouts, use_max_sig);
+ return DummySignTx(txNew, v_txouts, coin_control);
}
- bool DummySignTx(CMutableTransaction &txNew, const std::vector<CTxOut> &txouts, bool use_max_sig = false) const;
- bool DummySignInput(CTxIn &tx_in, const CTxOut &txout, bool use_max_sig = false) const;
+ bool DummySignTx(CMutableTransaction &txNew, const std::vector<CTxOut> &txouts, const CCoinControl* coin_control = nullptr) const;
bool ImportScripts(const std::set<CScript> scripts, int64_t timestamp) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
bool ImportPrivKeys(const std::map<CKeyID, CKey>& privkey_map, const int64_t timestamp) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
@@ -1012,6 +600,8 @@ public:
CFeeRate m_pay_tx_fee{DEFAULT_PAY_TX_FEE};
unsigned int m_confirm_target{DEFAULT_TX_CONFIRM_TARGET};
+ /** Allow Coin Selection to pick unconfirmed UTXOs that were sent from our own wallet if it
+ * cannot fund the transaction otherwise. */
bool m_spend_zero_conf_change{DEFAULT_SPEND_ZEROCONF_CHANGE};
bool m_signal_rbf{DEFAULT_WALLET_RBF};
bool m_allow_fallback_fee{true}; //!< will be false if -fallbackfee=0
@@ -1022,7 +612,18 @@ public:
* Override with -fallbackfee
*/
CFeeRate m_fallback_fee{DEFAULT_FALLBACK_FEE};
+
+ /** If the cost to spend a change output at this feerate is greater than the value of the
+ * output itself, just drop it to fees. */
CFeeRate m_discard_rate{DEFAULT_DISCARD_FEE};
+
+ /** When the actual feerate is less than the consolidate feerate, we will tend to make transactions which
+ * consolidate inputs. When the actual feerate is greater than the consolidate feerate, we will tend to make
+ * transactions which have the lowest fees.
+ */
+ CFeeRate m_consolidate_feerate{DEFAULT_CONSOLIDATE_FEERATE};
+
+ /** The maximum fee amount we're willing to pay to prioritize partial spend avoidance. */
CAmount m_max_aps_fee{DEFAULT_MAX_AVOIDPARTIALSPEND_FEE}; //!< note: this is absolute fee, not fee rate
OutputType m_default_address_type{DEFAULT_ADDRESS_TYPE};
/**
@@ -1031,19 +632,16 @@ public:
* (see -changetype option documentation and implementation in
* CWallet::TransactionChangeType for details).
*/
- Optional<OutputType> m_default_change_type{};
+ std::optional<OutputType> m_default_change_type{};
/** Absolute maximum transaction fee (in satoshis) used by default for the wallet */
CAmount m_default_max_tx_fee{DEFAULT_TRANSACTION_MAXFEE};
size_t KeypoolCountExternalKeys() const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
bool TopUpKeyPool(unsigned int kpSize = 0);
- int64_t GetOldestKeyPoolTime() const;
+ std::optional<int64_t> GetOldestKeyPoolTime() const;
- std::set<std::set<CTxDestination>> GetAddressGroupings() const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- std::map<CTxDestination, CAmount> GetAddressBalances() const;
-
- std::set<CTxDestination> GetLabelAddresses(const std::string& label) const;
+ std::set<CTxDestination> GetLabelAddresses(const std::string& label) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
/**
* Marks all outputs in each one of the destinations dirty, so their cache is
@@ -1051,39 +649,36 @@ public:
*/
void MarkDestinationsDirty(const std::set<CTxDestination>& destinations) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- bool GetNewDestination(const OutputType type, const std::string label, CTxDestination& dest, std::string& error);
- bool GetNewChangeDestination(const OutputType type, CTxDestination& dest, std::string& error);
+ bool GetNewDestination(const OutputType type, const std::string label, CTxDestination& dest, bilingual_str& error);
+ bool GetNewChangeDestination(const OutputType type, CTxDestination& dest, bilingual_str& error);
isminetype IsMine(const CTxDestination& dest) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
isminetype IsMine(const CScript& script) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- isminetype IsMine(const CTxIn& txin) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
/**
* Returns amount of debit if the input matches the
* filter, otherwise returns 0
*/
CAmount GetDebit(const CTxIn& txin, const isminefilter& filter) const;
isminetype IsMine(const CTxOut& txout) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- CAmount GetCredit(const CTxOut& txout, const isminefilter& filter) const;
- bool IsChange(const CTxOut& txout) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- bool IsChange(const CScript& script) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
- CAmount GetChange(const CTxOut& txout) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
bool IsMine(const CTransaction& tx) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
/** should probably be renamed to IsRelevantToMe */
bool IsFromMe(const CTransaction& tx) const;
CAmount GetDebit(const CTransaction& tx, const isminefilter& filter) const;
- /** Returns whether all of the inputs match the filter */
- bool IsAllFromMe(const CTransaction& tx, const isminefilter& filter) const;
- CAmount GetCredit(const CTransaction& tx, const isminefilter& filter) const;
- CAmount GetChange(const CTransaction& tx) const;
void chainStateFlushed(const CBlockLocator& loc) override;
- DBErrors LoadWallet(bool& fFirstRunRet);
+ DBErrors LoadWallet();
DBErrors ZapSelectTx(std::vector<uint256>& vHashIn, std::vector<uint256>& vHashOut) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
bool SetAddressBook(const CTxDestination& address, const std::string& strName, const std::string& purpose);
bool DelAddressBook(const CTxDestination& address);
+ bool IsAddressUsed(const CTxDestination& dest) const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ bool SetAddressUsed(WalletBatch& batch, const CTxDestination& dest, bool used) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+
+ std::vector<std::string> GetAddressReceiveRequests() const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+ bool SetAddressReceiveRequest(WalletBatch& batch, const CTxDestination& dest, const std::string& id, const std::string& value) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
+
unsigned int GetKeyPoolSize() const EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
//! signify that a particular wallet feature is now used.
@@ -1109,19 +704,18 @@ public:
/**
* Address book entry changed.
- * @note called with lock cs_wallet held.
+ * @note called without lock cs_wallet held.
*/
- boost::signals2::signal<void (CWallet *wallet, const CTxDestination
- &address, const std::string &label, bool isMine,
- const std::string &purpose,
- ChangeType status)> NotifyAddressBookChanged;
+ boost::signals2::signal<void(const CTxDestination& address,
+ const std::string& label, bool isMine,
+ const std::string& purpose, ChangeType status)>
+ NotifyAddressBookChanged;
/**
* Wallet transaction added, removed or updated.
* @note called with lock cs_wallet held.
*/
- boost::signals2::signal<void (CWallet *wallet, const uint256 &hashTx,
- ChangeType status)> NotifyTransactionChanged;
+ boost::signals2::signal<void(const uint256& hashTx, ChangeType status)> NotifyTransactionChanged;
/** Show progress e.g. for rescan */
boost::signals2::signal<void (const std::string &title, int nProgress)> ShowProgress;
@@ -1153,7 +747,7 @@ public:
bool MarkReplaced(const uint256& originalHash, const uint256& newHash);
/* Initializes the wallet, returns a new CWallet instance or a null pointer in case of an error */
- static std::shared_ptr<CWallet> Create(interfaces::Chain& chain, const std::string& name, std::unique_ptr<WalletDatabase> database, uint64_t wallet_creation_flags, bilingual_str& error, std::vector<bilingual_str>& warnings);
+ static std::shared_ptr<CWallet> Create(WalletContext& context, const std::string& name, std::unique_ptr<WalletDatabase> database, uint64_t wallet_creation_flags, bilingual_str& error, std::vector<bilingual_str>& warnings);
/**
* Wallet post-init setup
@@ -1175,7 +769,7 @@ public:
* Obviously holding cs_main/cs_wallet when going into this call may cause
* deadlock
*/
- void BlockUntilSyncedToCurrentChain() const EXCLUSIVE_LOCKS_REQUIRED(!::cs_main, !cs_wallet);
+ void BlockUntilSyncedToCurrentChain() const LOCKS_EXCLUDED(::cs_main) EXCLUSIVE_LOCKS_REQUIRED(!cs_wallet);
/** set a single wallet flag */
void SetWalletFlag(uint64_t flags);
@@ -1219,14 +813,11 @@ public:
//! Get the ScriptPubKeyMan for the given OutputType and internal/external chain.
ScriptPubKeyMan* GetScriptPubKeyMan(const OutputType& type, bool internal) const;
- //! Get the ScriptPubKeyMan for a script
- ScriptPubKeyMan* GetScriptPubKeyMan(const CScript& script) const;
+ //! Get all the ScriptPubKeyMans for a script
+ std::set<ScriptPubKeyMan*> GetScriptPubKeyMans(const CScript& script) const;
//! Get the ScriptPubKeyMan by id
ScriptPubKeyMan* GetScriptPubKeyMan(const uint256& id) const;
- //! Get all of the ScriptPubKeyMans for a script given additional information in sigdata (populated by e.g. a psbt)
- std::set<ScriptPubKeyMan*> GetScriptPubKeyMans(const CScript& script, SignatureData& sigdata) const;
-
//! Get the SigningProvider for a script
std::unique_ptr<SigningProvider> GetSolvingProvider(const CScript& script) const;
std::unique_ptr<SigningProvider> GetSolvingProvider(const CScript& script, SignatureData& sigdata) const;
@@ -1280,21 +871,32 @@ public:
//! @param[in] internal Whether this ScriptPubKeyMan provides change addresses
void LoadActiveScriptPubKeyMan(uint256 id, OutputType type, bool internal);
+ //! Remove specified ScriptPubKeyMan from set of active SPK managers. Writes the change to the wallet file.
+ //! @param[in] id The unique id for the ScriptPubKeyMan
+ //! @param[in] type The OutputType this ScriptPubKeyMan provides addresses for
+ //! @param[in] internal Whether this ScriptPubKeyMan provides change addresses
+ void DeactivateScriptPubKeyMan(uint256 id, OutputType type, bool internal);
+
//! Create new DescriptorScriptPubKeyMans and add them to the wallet
void SetupDescriptorScriptPubKeyMans() EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
//! Return the DescriptorScriptPubKeyMan for a WalletDescriptor if it is already in the wallet
DescriptorScriptPubKeyMan* GetDescriptorScriptPubKeyMan(const WalletDescriptor& desc) const;
+ //! Returns whether the provided ScriptPubKeyMan is internal
+ //! @param[in] spk_man The ScriptPubKeyMan to test
+ //! @return contains value only for active DescriptorScriptPubKeyMan, otherwise undefined
+ std::optional<bool> IsInternalScriptPubKeyMan(ScriptPubKeyMan* spk_man) const;
+
//! Add a descriptor to the wallet, return a ScriptPubKeyMan & associated output type
- ScriptPubKeyMan* AddWalletDescriptor(WalletDescriptor& desc, const FlatSigningProvider& signing_provider, const std::string& label, bool internal);
+ ScriptPubKeyMan* AddWalletDescriptor(WalletDescriptor& desc, const FlatSigningProvider& signing_provider, const std::string& label, bool internal) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
};
/**
* Called periodically by the schedule thread. Prompts individual wallets to resend
* their transactions. Actual rebroadcast schedule is managed by the wallets themselves.
*/
-void MaybeResendWalletTxs();
+void MaybeResendWalletTxs(WalletContext& context);
/** RAII object to check and reserve a wallet rescan */
class WalletRescanReserver
@@ -1330,17 +932,15 @@ public:
}
};
-// Calculate the size of the transaction assuming all signatures are max size
-// Use DummySignatureCreator, which inserts 71 byte signatures everywhere.
-// NOTE: this requires that all inputs must be in mapWallet (eg the tx should
-// be IsAllFromMe).
-int64_t CalculateMaximumSignedTxSize(const CTransaction &tx, const CWallet *wallet, bool use_max_sig = false) EXCLUSIVE_LOCKS_REQUIRED(wallet->cs_wallet);
-int64_t CalculateMaximumSignedTxSize(const CTransaction &tx, const CWallet *wallet, const std::vector<CTxOut>& txouts, bool use_max_sig = false);
-
//! Add wallet name to persistent configuration so it will be loaded on startup.
bool AddWalletSetting(interfaces::Chain& chain, const std::string& wallet_name);
//! Remove wallet name from persistent configuration so it will not be loaded on startup.
bool RemoveWalletSetting(interfaces::Chain& chain, const std::string& wallet_name);
+bool DummySignInput(const SigningProvider& provider, CTxIn &tx_in, const CTxOut &txout, bool use_max_sig);
+
+bool FillInputToWeight(CTxIn& txin, int64_t target_weight);
+} // namespace wallet
+
#endif // BITCOIN_WALLET_WALLET_H
diff --git a/src/wallet/walletdb.cpp b/src/wallet/walletdb.cpp
index 69854cae05..c11d4b562d 100644
--- a/src/wallet/walletdb.cpp
+++ b/src/wallet/walletdb.cpp
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -23,8 +23,10 @@
#include <wallet/wallet.h>
#include <atomic>
+#include <optional>
#include <string>
+namespace wallet {
namespace DBKeys {
const std::string ACENTRY{"acentry"};
const std::string ACTIVEEXTERNALSPK{"activeexternalspk"};
@@ -39,6 +41,7 @@ const std::string FLAGS{"flags"};
const std::string HDCHAIN{"hdchain"};
const std::string KEYMETA{"keymeta"};
const std::string KEY{"key"};
+const std::string LOCKED_UTXO{"lockedutxo"};
const std::string MASTER_KEY{"mkey"};
const std::string MINVERSION{"minversion"};
const std::string NAME{"name"};
@@ -51,6 +54,7 @@ const std::string TX{"tx"};
const std::string VERSION{"version"};
const std::string WALLETDESCRIPTOR{"walletdescriptor"};
const std::string WALLETDESCRIPTORCACHE{"walletdescriptorcache"};
+const std::string WALLETDESCRIPTORLHCACHE{"walletdescriptorlhcache"};
const std::string WALLETDESCRIPTORCKEY{"walletdescriptorckey"};
const std::string WALLETDESCRIPTORKEY{"walletdescriptorkey"};
const std::string WATCHMETA{"watchmeta"};
@@ -154,7 +158,7 @@ bool WalletBatch::WriteWatchOnly(const CScript &dest, const CKeyMetadata& keyMet
if (!WriteIC(std::make_pair(DBKeys::WATCHMETA, dest), keyMeta)) {
return false;
}
- return WriteIC(std::make_pair(DBKeys::WATCHS, dest), '1');
+ return WriteIC(std::make_pair(DBKeys::WATCHS, dest), uint8_t{'1'});
}
bool WalletBatch::EraseWatchOnly(const CScript &dest)
@@ -208,6 +212,12 @@ bool WalletBatch::WriteActiveScriptPubKeyMan(uint8_t type, const uint256& id, bo
return WriteIC(make_pair(key, type), id);
}
+bool WalletBatch::EraseActiveScriptPubKeyMan(uint8_t type, bool internal)
+{
+ const std::string key{internal ? DBKeys::ACTIVEINTERNALSPK : DBKeys::ACTIVEEXTERNALSPK};
+ return EraseIC(make_pair(key, type));
+}
+
bool WalletBatch::WriteDescriptorKey(const uint256& desc_id, const CPubKey& pubkey, const CPrivKey& privkey)
{
// hash pubkey/privkey to accelerate wallet load
@@ -247,6 +257,45 @@ bool WalletBatch::WriteDescriptorParentCache(const CExtPubKey& xpub, const uint2
return WriteIC(std::make_pair(std::make_pair(DBKeys::WALLETDESCRIPTORCACHE, desc_id), key_exp_index), ser_xpub);
}
+bool WalletBatch::WriteDescriptorLastHardenedCache(const CExtPubKey& xpub, const uint256& desc_id, uint32_t key_exp_index)
+{
+ std::vector<unsigned char> ser_xpub(BIP32_EXTKEY_SIZE);
+ xpub.Encode(ser_xpub.data());
+ return WriteIC(std::make_pair(std::make_pair(DBKeys::WALLETDESCRIPTORLHCACHE, desc_id), key_exp_index), ser_xpub);
+}
+
+bool WalletBatch::WriteDescriptorCacheItems(const uint256& desc_id, const DescriptorCache& cache)
+{
+ for (const auto& parent_xpub_pair : cache.GetCachedParentExtPubKeys()) {
+ if (!WriteDescriptorParentCache(parent_xpub_pair.second, desc_id, parent_xpub_pair.first)) {
+ return false;
+ }
+ }
+ for (const auto& derived_xpub_map_pair : cache.GetCachedDerivedExtPubKeys()) {
+ for (const auto& derived_xpub_pair : derived_xpub_map_pair.second) {
+ if (!WriteDescriptorDerivedCache(derived_xpub_pair.second, desc_id, derived_xpub_map_pair.first, derived_xpub_pair.first)) {
+ return false;
+ }
+ }
+ }
+ for (const auto& lh_xpub_pair : cache.GetCachedLastHardenedExtPubKeys()) {
+ if (!WriteDescriptorLastHardenedCache(lh_xpub_pair.second, desc_id, lh_xpub_pair.first)) {
+ return false;
+ }
+ }
+ return true;
+}
+
+bool WalletBatch::WriteLockedUTXO(const COutPoint& output)
+{
+ return WriteIC(std::make_pair(DBKeys::LOCKED_UTXO, std::make_pair(output.hash, output.n)), uint8_t{'1'});
+}
+
+bool WalletBatch::EraseLockedUTXO(const COutPoint& output)
+{
+ return EraseIC(std::make_pair(DBKeys::LOCKED_UTXO, std::make_pair(output.hash, output.n)));
+}
+
class CWalletScanState {
public:
unsigned int nKeys{0};
@@ -263,6 +312,7 @@ public:
std::map<std::pair<uint256, CKeyID>, CKey> m_descriptor_keys;
std::map<std::pair<uint256, CKeyID>, std::pair<CPubKey, std::vector<unsigned char>>> m_descriptor_crypt_keys;
std::map<uint160, CHDChain> m_hd_chains;
+ bool tx_corrupt{false};
CWalletScanState() {
}
@@ -297,7 +347,13 @@ ReadKeyValue(CWallet* pwallet, CDataStream& ssKey, CDataStream& ssValue,
// LoadToWallet call below creates a new CWalletTx that fill_wtx
// callback fills with transaction metadata.
auto fill_wtx = [&](CWalletTx& wtx, bool new_tx) {
- assert(new_tx);
+ if(!new_tx) {
+ // There's some corruption here since the tx we just tried to load was already in the wallet.
+ // We don't consider this type of corruption critical, and can fix it by removing tx data and
+ // rescanning.
+ wss.tx_corrupt = true;
+ return false;
+ }
ssValue >> wtx;
if (wtx.GetHash() != hash)
return false;
@@ -307,8 +363,8 @@ ReadKeyValue(CWallet* pwallet, CDataStream& ssKey, CDataStream& ssValue,
{
if (!ssValue.empty())
{
- char fTmp;
- char fUnused;
+ uint8_t fTmp;
+ uint8_t fUnused;
std::string unused_string;
ssValue >> fTmp >> fUnused >> unused_string;
strErr = strprintf("LoadWallet() upgrading tx ver=%d %d %s",
@@ -335,7 +391,7 @@ ReadKeyValue(CWallet* pwallet, CDataStream& ssKey, CDataStream& ssValue,
wss.nWatchKeys++;
CScript script;
ssKey >> script;
- char fYes;
+ uint8_t fYes;
ssValue >> fYes;
if (fYes == '1') {
pwallet->GetOrCreateLegacyScriptPubKeyMan()->LoadWatchOnly(script);
@@ -601,6 +657,17 @@ ReadKeyValue(CWallet* pwallet, CDataStream& ssKey, CDataStream& ssValue,
} else {
wss.m_descriptor_caches[desc_id].CacheDerivedExtPubKey(key_exp_index, der_index, xpub);
}
+ } else if (strType == DBKeys::WALLETDESCRIPTORLHCACHE) {
+ uint256 desc_id;
+ uint32_t key_exp_index;
+ ssKey >> desc_id;
+ ssKey >> key_exp_index;
+
+ std::vector<unsigned char> ser_xpub(BIP32_EXTKEY_SIZE);
+ ssValue >> ser_xpub;
+ CExtPubKey xpub;
+ xpub.Decode(ser_xpub.data());
+ wss.m_descriptor_caches[desc_id].CacheLastHardenedExtPubKey(key_exp_index, xpub);
} else if (strType == DBKeys::WALLETDESCRIPTORKEY) {
uint256 desc_id;
CPubKey pubkey;
@@ -653,6 +720,12 @@ ReadKeyValue(CWallet* pwallet, CDataStream& ssKey, CDataStream& ssValue,
wss.m_descriptor_crypt_keys.insert(std::make_pair(std::make_pair(desc_id, pubkey.GetID()), std::make_pair(pubkey, privkey)));
wss.fIsEncrypted = true;
+ } else if (strType == DBKeys::LOCKED_UTXO) {
+ uint256 hash;
+ uint32_t n;
+ ssKey >> hash;
+ ssKey >> n;
+ pwallet->LockCoin(COutPoint(hash, n));
} else if (strType != DBKeys::BESTBLOCK && strType != DBKeys::BESTBLOCK_NOMERKLE &&
strType != DBKeys::MINVERSION && strType != DBKeys::ACENTRY &&
strType != DBKeys::VERSION && strType != DBKeys::SETTINGS &&
@@ -690,6 +763,7 @@ DBErrors WalletBatch::LoadWallet(CWallet* pwallet)
{
CWalletScanState wss;
bool fNoncriticalErrors = false;
+ bool rescan_required = false;
DBErrors result = DBErrors::LOAD_OK;
LOCK(pwallet->cs_wallet);
@@ -711,6 +785,13 @@ DBErrors WalletBatch::LoadWallet(CWallet* pwallet)
}
}
+#ifndef ENABLE_EXTERNAL_SIGNER
+ if (pwallet->IsWalletFlagSet(WALLET_FLAG_EXTERNAL_SIGNER)) {
+ pwallet->WalletLogPrintf("Error: External signer wallet being loaded without external signer support compiled\n");
+ return DBErrors::TOO_NEW;
+ }
+#endif
+
// Get cursor
if (!m_batch->StartCursor())
{
@@ -746,12 +827,17 @@ DBErrors WalletBatch::LoadWallet(CWallet* pwallet)
} else if (strType == DBKeys::FLAGS) {
// reading the wallet flags can only fail if unknown flags are present
result = DBErrors::TOO_NEW;
+ } else if (wss.tx_corrupt) {
+ pwallet->WalletLogPrintf("Error: Corrupt transaction found. This can be fixed by removing transactions from wallet and rescanning.\n");
+ // Set tx_corrupt back to false so that the error is only printed once (per corrupt tx)
+ wss.tx_corrupt = false;
+ result = DBErrors::CORRUPT;
} else {
// Leave other errors alone, if we try to fix them we might make things worse.
fNoncriticalErrors = true; // ... but do warn the user there is something wrong.
if (strType == DBKeys::TX)
// Rescan if there is a bad transaction record:
- gArgs.SoftSetBoolArg("-rescan", true);
+ rescan_required = true;
}
}
if (!strErr.empty())
@@ -787,8 +873,11 @@ DBErrors WalletBatch::LoadWallet(CWallet* pwallet)
((DescriptorScriptPubKeyMan*)spk_man)->AddCryptedKey(desc_key_pair.first.second, desc_key_pair.second.first, desc_key_pair.second.second);
}
- if (fNoncriticalErrors && result == DBErrors::LOAD_OK)
+ if (rescan_required && result == DBErrors::LOAD_OK) {
+ result = DBErrors::NEED_RESCAN;
+ } else if (fNoncriticalErrors && result == DBErrors::LOAD_OK) {
result = DBErrors::NONCRITICAL_ERROR;
+ }
// Any wallet corruption at all: skip any rewriting or
// upgrading, we don't want to make it worse.
@@ -835,6 +924,14 @@ DBErrors WalletBatch::LoadWallet(CWallet* pwallet)
result = DBErrors::CORRUPT;
}
+ // Upgrade all of the descriptor caches to cache the last hardened xpub
+ // This operation is not atomic, but if it fails, only new entries are added so it is backwards compatible
+ try {
+ pwallet->UpgradeDescriptorCache();
+ } catch (...) {
+ result = DBErrors::CORRUPT;
+ }
+
// Set the inactive chain
if (wss.m_hd_chains.size() > 0) {
LegacyScriptPubKeyMan* legacy_spkm = pwallet->GetLegacyScriptPubKeyMan();
@@ -891,7 +988,7 @@ DBErrors WalletBatch::FindWalletTx(std::vector<uint256>& vTxHash, std::list<CWal
uint256 hash;
ssKey >> hash;
vTxHash.push_back(hash);
- vWtx.emplace_back(nullptr /* wallet */, nullptr /* tx */);
+ vWtx.emplace_back(/*tx=*/nullptr, TxStateInactive{});
ssValue >> vWtx.back();
}
}
@@ -941,14 +1038,14 @@ DBErrors WalletBatch::ZapSelectTx(std::vector<uint256>& vTxHashIn, std::vector<u
return DBErrors::LOAD_OK;
}
-void MaybeCompactWalletDB()
+void MaybeCompactWalletDB(WalletContext& context)
{
static std::atomic<bool> fOneThread(false);
if (fOneThread.exchange(true)) {
return;
}
- for (const std::shared_ptr<CWallet>& pwallet : GetWallets()) {
+ for (const std::shared_ptr<CWallet>& pwallet : GetWallets(context)) {
WalletDatabase& dbh = pwallet->GetDatabase();
unsigned int nUpdateCounter = dbh.nUpdateCounter;
@@ -1008,47 +1105,47 @@ std::unique_ptr<WalletDatabase> MakeDatabase(const fs::path& path, const Databas
{
bool exists;
try {
- exists = fs::symlink_status(path).type() != fs::file_not_found;
+ exists = fs::symlink_status(path).type() != fs::file_type::not_found;
} catch (const fs::filesystem_error& e) {
- error = Untranslated(strprintf("Failed to access database path '%s': %s", path.string(), fsbridge::get_filesystem_error_message(e)));
+ error = Untranslated(strprintf("Failed to access database path '%s': %s", fs::PathToString(path), fsbridge::get_filesystem_error_message(e)));
status = DatabaseStatus::FAILED_BAD_PATH;
return nullptr;
}
- Optional<DatabaseFormat> format;
+ std::optional<DatabaseFormat> format;
if (exists) {
if (IsBDBFile(BDBDataFile(path))) {
format = DatabaseFormat::BERKELEY;
}
if (IsSQLiteFile(SQLiteDataFile(path))) {
if (format) {
- error = Untranslated(strprintf("Failed to load database path '%s'. Data is in ambiguous format.", path.string()));
+ error = Untranslated(strprintf("Failed to load database path '%s'. Data is in ambiguous format.", fs::PathToString(path)));
status = DatabaseStatus::FAILED_BAD_FORMAT;
return nullptr;
}
format = DatabaseFormat::SQLITE;
}
} else if (options.require_existing) {
- error = Untranslated(strprintf("Failed to load database path '%s'. Path does not exist.", path.string()));
+ error = Untranslated(strprintf("Failed to load database path '%s'. Path does not exist.", fs::PathToString(path)));
status = DatabaseStatus::FAILED_NOT_FOUND;
return nullptr;
}
if (!format && options.require_existing) {
- error = Untranslated(strprintf("Failed to load database path '%s'. Data is not in recognized format.", path.string()));
+ error = Untranslated(strprintf("Failed to load database path '%s'. Data is not in recognized format.", fs::PathToString(path)));
status = DatabaseStatus::FAILED_BAD_FORMAT;
return nullptr;
}
if (format && options.require_create) {
- error = Untranslated(strprintf("Failed to create database path '%s'. Database already exists.", path.string()));
+ error = Untranslated(strprintf("Failed to create database path '%s'. Database already exists.", fs::PathToString(path)));
status = DatabaseStatus::FAILED_ALREADY_EXISTS;
return nullptr;
}
// A db already exists so format is set, but options also specifies the format, so make sure they agree
if (format && options.require_format && format != options.require_format) {
- error = Untranslated(strprintf("Failed to load database path '%s'. Data is not in required format.", path.string()));
+ error = Untranslated(strprintf("Failed to load database path '%s'. Data is not in required format.", fs::PathToString(path)));
status = DatabaseStatus::FAILED_BAD_FORMAT;
return nullptr;
}
@@ -1070,7 +1167,7 @@ std::unique_ptr<WalletDatabase> MakeDatabase(const fs::path& path, const Databas
#ifdef USE_SQLITE
return MakeSQLiteDatabase(path, options, status, error);
#endif
- error = Untranslated(strprintf("Failed to open database path '%s'. Build does not support SQLite database format.", path.string()));
+ error = Untranslated(strprintf("Failed to open database path '%s'. Build does not support SQLite database format.", fs::PathToString(path)));
status = DatabaseStatus::FAILED_BAD_FORMAT;
return nullptr;
}
@@ -1078,7 +1175,7 @@ std::unique_ptr<WalletDatabase> MakeDatabase(const fs::path& path, const Databas
#ifdef USE_BDB
return MakeBerkeleyDatabase(path, options, status, error);
#endif
- error = Untranslated(strprintf("Failed to open database path '%s'. Build does not support Berkeley DB database format.", path.string()));
+ error = Untranslated(strprintf("Failed to open database path '%s'. Build does not support Berkeley DB database format.", fs::PathToString(path)));
status = DatabaseStatus::FAILED_BAD_FORMAT;
return nullptr;
}
@@ -1086,15 +1183,16 @@ std::unique_ptr<WalletDatabase> MakeDatabase(const fs::path& path, const Databas
/** Return object for accessing dummy database with no read/write capabilities. */
std::unique_ptr<WalletDatabase> CreateDummyWalletDatabase()
{
- return MakeUnique<DummyDatabase>();
+ return std::make_unique<DummyDatabase>();
}
/** Return object for accessing temporary in-memory database. */
std::unique_ptr<WalletDatabase> CreateMockWalletDatabase()
{
-#ifdef USE_BDB
- return MakeUnique<BerkeleyDatabase>(std::make_shared<BerkeleyEnvironment>(), "");
-#elif USE_SQLITE
- return MakeUnique<SQLiteDatabase>("", "", true);
+#ifdef USE_SQLITE
+ return std::make_unique<SQLiteDatabase>("", "", true);
+#elif USE_BDB
+ return std::make_unique<BerkeleyDatabase>(std::make_shared<BerkeleyEnvironment>(), "");
#endif
}
+} // namespace wallet
diff --git a/src/wallet/walletdb.h b/src/wallet/walletdb.h
index e7b2d7d780..7d38832aa5 100644
--- a/src/wallet/walletdb.h
+++ b/src/wallet/walletdb.h
@@ -1,12 +1,11 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_WALLETDB_H
#define BITCOIN_WALLET_WALLETDB_H
-#include <amount.h>
#include <script/sign.h>
#include <wallet/db.h>
#include <wallet/walletutil.h>
@@ -16,6 +15,18 @@
#include <string>
#include <vector>
+class CScript;
+class uint160;
+class uint256;
+struct CBlockLocator;
+
+namespace wallet {
+class CKeyPool;
+class CMasterKey;
+class CWallet;
+class CWalletTx;
+struct WalletContext;
+
/**
* Overview of wallet database classes:
*
@@ -30,15 +41,6 @@
static const bool DEFAULT_FLUSHWALLET = true;
-struct CBlockLocator;
-class CKeyPool;
-class CMasterKey;
-class CScript;
-class CWallet;
-class CWalletTx;
-class uint160;
-class uint256;
-
/** Error statuses for the wallet database */
enum class DBErrors
{
@@ -47,7 +49,8 @@ enum class DBErrors
NONCRITICAL_ERROR,
TOO_NEW,
LOAD_FAIL,
- NEED_REWRITE
+ NEED_REWRITE,
+ NEED_RESCAN
};
namespace DBKeys {
@@ -64,6 +67,7 @@ extern const std::string FLAGS;
extern const std::string HDCHAIN;
extern const std::string KEY;
extern const std::string KEYMETA;
+extern const std::string LOCKED_UTXO;
extern const std::string MASTER_KEY;
extern const std::string MINVERSION;
extern const std::string NAME;
@@ -246,6 +250,11 @@ public:
bool WriteDescriptor(const uint256& desc_id, const WalletDescriptor& descriptor);
bool WriteDescriptorDerivedCache(const CExtPubKey& xpub, const uint256& desc_id, uint32_t key_exp_index, uint32_t der_index);
bool WriteDescriptorParentCache(const CExtPubKey& xpub, const uint256& desc_id, uint32_t key_exp_index);
+ bool WriteDescriptorLastHardenedCache(const CExtPubKey& xpub, const uint256& desc_id, uint32_t key_exp_index);
+ bool WriteDescriptorCacheItems(const uint256& desc_id, const DescriptorCache& cache);
+
+ bool WriteLockedUTXO(const COutPoint& output);
+ bool EraseLockedUTXO(const COutPoint& output);
/// Write destination data key,value tuple to database
bool WriteDestData(const std::string &address, const std::string &key, const std::string &value);
@@ -253,6 +262,7 @@ public:
bool EraseDestData(const std::string &address, const std::string &key);
bool WriteActiveScriptPubKeyMan(uint8_t type, const uint256& id, bool internal);
+ bool EraseActiveScriptPubKeyMan(uint8_t type, bool internal);
DBErrors LoadWallet(CWallet* pwallet);
DBErrors FindWalletTx(std::vector<uint256>& vTxHash, std::list<CWalletTx>& vWtx);
@@ -276,7 +286,7 @@ private:
};
//! Compacts BDB state so that wallet.dat is self-contained (if there are changes)
-void MaybeCompactWalletDB();
+void MaybeCompactWalletDB(WalletContext& context);
//! Callback for filtering key types to deserialize in ReadKeyValue
using KeyFilterFn = std::function<bool(const std::string&)>;
@@ -289,5 +299,6 @@ std::unique_ptr<WalletDatabase> CreateDummyWalletDatabase();
/** Return object for accessing temporary in-memory database. */
std::unique_ptr<WalletDatabase> CreateMockWalletDatabase();
+} // namespace wallet
#endif // BITCOIN_WALLET_WALLETDB_H
diff --git a/src/wallet/wallettool.cpp b/src/wallet/wallettool.cpp
index b2cb0bf479..9cd18dd0a5 100644
--- a/src/wallet/wallettool.cpp
+++ b/src/wallet/wallettool.cpp
@@ -1,7 +1,13 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
+#if defined(HAVE_CONFIG_H)
+#include <config/bitcoin-config.h>
+#endif
+
+#include <wallet/wallettool.h>
+
#include <fs.h>
#include <util/system.h>
#include <util/translation.h>
@@ -10,6 +16,7 @@
#include <wallet/wallet.h>
#include <wallet/walletutil.h>
+namespace wallet {
namespace WalletTool {
// The standard wallet deleter function blocks on the validation interface
@@ -26,7 +33,7 @@ static void WalletCreate(CWallet* wallet_instance, uint64_t wallet_creation_flag
{
LOCK(wallet_instance->cs_wallet);
- wallet_instance->SetMinVersion(FEATURE_HD_SPLIT);
+ wallet_instance->SetMinVersion(FEATURE_LATEST);
wallet_instance->AddWalletFlags(wallet_creation_flags);
if (!wallet_instance->IsWalletFlagSet(WALLET_FLAG_DESCRIPTORS)) {
@@ -40,7 +47,7 @@ static void WalletCreate(CWallet* wallet_instance, uint64_t wallet_creation_flag
wallet_instance->TopUpKeyPool();
}
-static std::shared_ptr<CWallet> MakeWallet(const std::string& name, const fs::path& path, DatabaseOptions options)
+static const std::shared_ptr<CWallet> MakeWallet(const std::string& name, const fs::path& path, const ArgsManager& args, DatabaseOptions options)
{
DatabaseStatus status;
bilingual_str error;
@@ -51,11 +58,10 @@ static std::shared_ptr<CWallet> MakeWallet(const std::string& name, const fs::pa
}
// dummy chain interface
- std::shared_ptr<CWallet> wallet_instance{new CWallet(nullptr /* chain */, name, std::move(database)), WalletToolReleaseWallet};
+ std::shared_ptr<CWallet> wallet_instance{new CWallet(nullptr /* chain */, name, args, std::move(database)), WalletToolReleaseWallet};
DBErrors load_wallet_ret;
try {
- bool first_run;
- load_wallet_ret = wallet_instance->LoadWallet(first_run);
+ load_wallet_ret = wallet_instance->LoadWallet();
} catch (const std::runtime_error&) {
tfm::format(std::cerr, "Error loading %s. Is wallet being used by another process?\n", name);
return nullptr;
@@ -77,6 +83,10 @@ static std::shared_ptr<CWallet> MakeWallet(const std::string& name, const fs::pa
} else if (load_wallet_ret == DBErrors::NEED_REWRITE) {
tfm::format(std::cerr, "Wallet needed to be rewritten: restart %s to complete", PACKAGE_NAME);
return nullptr;
+ } else if (load_wallet_ret == DBErrors::NEED_RESCAN) {
+ tfm::format(std::cerr, "Error reading %s! Some transaction data might be missing or"
+ " incorrect. Wallet requires a rescan.",
+ name);
} else {
tfm::format(std::cerr, "Error loading %s", name);
return nullptr;
@@ -117,22 +127,38 @@ bool ExecuteWalletToolFunc(const ArgsManager& args, const std::string& command)
tfm::format(std::cerr, "The -descriptors option can only be used with the 'create' command.\n");
return false;
}
+ if (args.IsArgSet("-legacy") && command != "create") {
+ tfm::format(std::cerr, "The -legacy option can only be used with the 'create' command.\n");
+ return false;
+ }
if (command == "create" && !args.IsArgSet("-wallet")) {
tfm::format(std::cerr, "Wallet name must be provided when creating a new wallet.\n");
return false;
}
const std::string name = args.GetArg("-wallet", "");
- const fs::path path = fsbridge::AbsPathJoin(GetWalletDir(), name);
+ const fs::path path = fsbridge::AbsPathJoin(GetWalletDir(), fs::PathFromString(name));
if (command == "create") {
DatabaseOptions options;
options.require_create = true;
- if (args.GetBoolArg("-descriptors", false)) {
+ // If -legacy is set, use it. Otherwise default to false.
+ bool make_legacy = args.GetBoolArg("-legacy", false);
+ // If neither -legacy nor -descriptors is set, default to true. If -descriptors is set, use its value.
+ bool make_descriptors = (!args.IsArgSet("-descriptors") && !args.IsArgSet("-legacy")) || (args.IsArgSet("-descriptors") && args.GetBoolArg("-descriptors", true));
+ if (make_legacy && make_descriptors) {
+ tfm::format(std::cerr, "Only one of -legacy or -descriptors can be set to true, not both\n");
+ return false;
+ }
+ if (!make_legacy && !make_descriptors) {
+ tfm::format(std::cerr, "One of -legacy or -descriptors must be set to true (or omitted)\n");
+ return false;
+ }
+ if (make_descriptors) {
options.create_flags |= WALLET_FLAG_DESCRIPTORS;
options.require_format = DatabaseFormat::SQLITE;
}
- std::shared_ptr<CWallet> wallet_instance = MakeWallet(name, path, options);
+ const std::shared_ptr<CWallet> wallet_instance = MakeWallet(name, path, args, options);
if (wallet_instance) {
WalletShowInfo(wallet_instance.get());
wallet_instance->Close();
@@ -140,7 +166,7 @@ bool ExecuteWalletToolFunc(const ArgsManager& args, const std::string& command)
} else if (command == "info") {
DatabaseOptions options;
options.require_existing = true;
- std::shared_ptr<CWallet> wallet_instance = MakeWallet(name, path, options);
+ const std::shared_ptr<CWallet> wallet_instance = MakeWallet(name, path, args, options);
if (!wallet_instance) return false;
WalletShowInfo(wallet_instance.get());
wallet_instance->Close();
@@ -165,7 +191,7 @@ bool ExecuteWalletToolFunc(const ArgsManager& args, const std::string& command)
} else if (command == "dump") {
DatabaseOptions options;
options.require_existing = true;
- std::shared_ptr<CWallet> wallet_instance = MakeWallet(name, path, options);
+ const std::shared_ptr<CWallet> wallet_instance = MakeWallet(name, path, args, options);
if (!wallet_instance) return false;
bilingual_str error;
bool ret = DumpWallet(*wallet_instance, error);
@@ -194,3 +220,4 @@ bool ExecuteWalletToolFunc(const ArgsManager& args, const std::string& command)
return true;
}
} // namespace WalletTool
+} // namespace wallet
diff --git a/src/wallet/wallettool.h b/src/wallet/wallettool.h
index f4516bb5bc..9e0fe2b0ec 100644
--- a/src/wallet/wallettool.h
+++ b/src/wallet/wallettool.h
@@ -1,17 +1,20 @@
-// Copyright (c) 2016-2020 The Bitcoin Core developers
+// Copyright (c) 2016-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_WALLET_WALLETTOOL_H
#define BITCOIN_WALLET_WALLETTOOL_H
-#include <wallet/wallet.h>
+#include <string>
+class ArgsManager;
+
+namespace wallet {
namespace WalletTool {
-void WalletShowInfo(CWallet* wallet_instance);
bool ExecuteWalletToolFunc(const ArgsManager& args, const std::string& command);
} // namespace WalletTool
+} // namespace wallet
#endif // BITCOIN_WALLET_WALLETTOOL_H
diff --git a/src/wallet/walletutil.cpp b/src/wallet/walletutil.cpp
index dd2f071b6c..df1b10a634 100644
--- a/src/wallet/walletutil.cpp
+++ b/src/wallet/walletutil.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -7,19 +7,20 @@
#include <logging.h>
#include <util/system.h>
+namespace wallet {
fs::path GetWalletDir()
{
fs::path path;
if (gArgs.IsArgSet("-walletdir")) {
- path = gArgs.GetArg("-walletdir", "");
+ path = gArgs.GetPathArg("-walletdir");
if (!fs::is_directory(path)) {
// If the path specified doesn't exist, we return the deliberately
// invalid empty string.
path = "";
}
} else {
- path = GetDataDir();
+ path = gArgs.GetDataDirNet();
// If a wallets directory exists, use that, otherwise default to GetDataDir
if (fs::is_directory(path / "wallets")) {
path /= "wallets";
@@ -42,3 +43,4 @@ WalletFeature GetClosestWalletFeature(int version)
}
return static_cast<WalletFeature>(0);
}
+} // namespace wallet
diff --git a/src/wallet/walletutil.h b/src/wallet/walletutil.h
index 0713f768c1..788d41ceb7 100644
--- a/src/wallet/walletutil.h
+++ b/src/wallet/walletutil.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2017-2020 The Bitcoin Core developers
+// Copyright (c) 2017-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -10,6 +10,7 @@
#include <vector>
+namespace wallet {
/** (client) version numbers for particular wallet features */
enum WalletFeature
{
@@ -43,6 +44,9 @@ enum WalletFlags : uint64_t {
// Indicates that the metadata has already been upgraded to contain key origins
WALLET_FLAG_KEY_ORIGIN_METADATA = (1ULL << 1),
+ // Indicates that the descriptor cache has been upgraded to cache last hardened xpubs
+ WALLET_FLAG_LAST_HARDENED_XPUB_CACHED = (1ULL << 2),
+
// will enforce the rule that the wallet can't contain any private keys (only watch-only/pubkeys)
WALLET_FLAG_DISABLE_PRIVATE_KEYS = (1ULL << 32),
@@ -100,5 +104,6 @@ public:
WalletDescriptor() {}
WalletDescriptor(std::shared_ptr<Descriptor> descriptor, uint64_t creation_time, int32_t range_start, int32_t range_end, int32_t next_index) : descriptor(descriptor), creation_time(creation_time), range_start(range_start), range_end(range_end), next_index(next_index) {}
};
+} // namespace wallet
#endif // BITCOIN_WALLET_WALLETUTIL_H
diff --git a/src/walletinitinterface.h b/src/walletinitinterface.h
index 660b0eed5d..7624c2b16d 100644
--- a/src/walletinitinterface.h
+++ b/src/walletinitinterface.h
@@ -7,7 +7,9 @@
class ArgsManager;
+namespace node {
struct NodeContext;
+} // namespace node
class WalletInitInterface {
public:
@@ -18,7 +20,7 @@ public:
/** Check wallet parameter interaction */
virtual bool ParameterInteraction() const = 0;
/** Add wallets that should be opened to list of chain clients. */
- virtual void Construct(NodeContext& node) const = 0;
+ virtual void Construct(node::NodeContext& node) const = 0;
virtual ~WalletInitInterface() {}
};
diff --git a/src/warnings.h b/src/warnings.h
index c38edb4570..b21e2ea2b8 100644
--- a/src/warnings.h
+++ b/src/warnings.h
@@ -1,5 +1,5 @@
// Copyright (c) 2009-2010 Satoshi Nakamoto
-// Copyright (c) 2009-2020 The Bitcoin Core developers
+// Copyright (c) 2009-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -20,4 +20,4 @@ void SetfLargeWorkInvalidChainFound(bool flag);
*/
bilingual_str GetWarnings(bool verbose);
-#endif // BITCOIN_WARNINGS_H
+#endif // BITCOIN_WARNINGS_H
diff --git a/src/zmq/zmqabstractnotifier.h b/src/zmq/zmqabstractnotifier.h
index 6f0b202a18..fa3944e32b 100644
--- a/src/zmq/zmqabstractnotifier.h
+++ b/src/zmq/zmqabstractnotifier.h
@@ -1,11 +1,10 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_ZMQ_ZMQABSTRACTNOTIFIER_H
#define BITCOIN_ZMQ_ZMQABSTRACTNOTIFIER_H
-#include <util/memory.h>
#include <memory>
#include <string>
@@ -27,7 +26,7 @@ public:
template <typename T>
static std::unique_ptr<CZMQAbstractNotifier> Create()
{
- return MakeUnique<T>();
+ return std::make_unique<T>();
}
std::string GetType() const { return type; }
diff --git a/src/zmq/zmqnotificationinterface.cpp b/src/zmq/zmqnotificationinterface.cpp
index 86f47d71f3..a53de34db4 100644
--- a/src/zmq/zmqnotificationinterface.cpp
+++ b/src/zmq/zmqnotificationinterface.cpp
@@ -47,7 +47,7 @@ CZMQNotificationInterface* CZMQNotificationInterface::Create()
std::unique_ptr<CZMQAbstractNotifier> notifier = factory();
notifier->SetType(entry.first);
notifier->SetAddress(address);
- notifier->SetOutboundMessageHighWaterMark(static_cast<int>(gArgs.GetArg(arg + "hwm", CZMQAbstractNotifier::DEFAULT_ZMQ_SNDHWM)));
+ notifier->SetOutboundMessageHighWaterMark(static_cast<int>(gArgs.GetIntArg(arg + "hwm", CZMQAbstractNotifier::DEFAULT_ZMQ_SNDHWM)));
notifiers.push_back(std::move(notifier));
}
}
diff --git a/src/zmq/zmqpublishnotifier.cpp b/src/zmq/zmqpublishnotifier.cpp
index 168ba841c8..2c6f24a239 100644
--- a/src/zmq/zmqpublishnotifier.cpp
+++ b/src/zmq/zmqpublishnotifier.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2015-2020 The Bitcoin Core developers
+// Copyright (c) 2015-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -6,10 +6,12 @@
#include <chain.h>
#include <chainparams.h>
+#include <netbase.h>
+#include <node/blockstorage.h>
#include <rpc/server.h>
#include <streams.h>
#include <util/system.h>
-#include <validation.h>
+#include <validation.h> // For cs_main
#include <zmq/zmqutil.h>
#include <zmq.h>
@@ -21,6 +23,8 @@
#include <string>
#include <utility>
+using node::ReadBlockFromDisk;
+
static std::multimap<std::string, CZMQAbstractPublishNotifier*> mapPublishNotifiers;
static const char *MSG_HASHBLOCK = "hashblock";
@@ -72,6 +76,20 @@ static int zmq_send_multipart(void *sock, const void* data, size_t size, ...)
return 0;
}
+static bool IsZMQAddressIPV6(const std::string &zmq_address)
+{
+ const std::string tcp_prefix = "tcp://";
+ const size_t tcp_index = zmq_address.rfind(tcp_prefix);
+ const size_t colon_index = zmq_address.rfind(":");
+ if (tcp_index == 0 && colon_index != std::string::npos) {
+ const std::string ip = zmq_address.substr(tcp_prefix.length(), colon_index - tcp_prefix.length());
+ CNetAddr addr;
+ LookupHost(ip, addr, false);
+ if (addr.IsIPv6()) return true;
+ }
+ return false;
+}
+
bool CZMQAbstractPublishNotifier::Initialize(void *pcontext)
{
assert(!psocket);
@@ -106,6 +124,15 @@ bool CZMQAbstractPublishNotifier::Initialize(void *pcontext)
return false;
}
+ // On some systems (e.g. OpenBSD) the ZMQ_IPV6 must not be enabled, if the address to bind isn't IPv6
+ const int enable_ipv6 { IsZMQAddressIPV6(address) ? 1 : 0};
+ rc = zmq_setsockopt(psocket, ZMQ_IPV6, &enable_ipv6, sizeof(enable_ipv6));
+ if (rc != 0) {
+ zmqError("Failed to set ZMQ_IPV6");
+ zmq_close(psocket);
+ return false;
+ }
+
rc = zmq_bind(psocket, address.c_str());
if (rc != 0)
{
@@ -167,7 +194,7 @@ bool CZMQAbstractPublishNotifier::SendZmqMessage(const char *command, const void
/* send three parts, command & data & a LE 4byte sequence number */
unsigned char msgseq[sizeof(uint32_t)];
- WriteLE32(&msgseq[0], nSequence);
+ WriteLE32(msgseq, nSequence);
int rc = zmq_send_multipart(psocket, command, strlen(command), data, size, msgseq, (size_t)sizeof(uint32_t), nullptr);
if (rc == -1)
return false;
@@ -182,9 +209,10 @@ bool CZMQPublishHashBlockNotifier::NotifyBlock(const CBlockIndex *pindex)
{
uint256 hash = pindex->GetBlockHash();
LogPrint(BCLog::ZMQ, "zmq: Publish hashblock %s to %s\n", hash.GetHex(), this->address);
- char data[32];
- for (unsigned int i = 0; i < 32; i++)
+ uint8_t data[32];
+ for (unsigned int i = 0; i < 32; i++) {
data[31 - i] = hash.begin()[i];
+ }
return SendZmqMessage(MSG_HASHBLOCK, data, 32);
}
@@ -192,9 +220,10 @@ bool CZMQPublishHashTransactionNotifier::NotifyTransaction(const CTransaction &t
{
uint256 hash = transaction.GetHash();
LogPrint(BCLog::ZMQ, "zmq: Publish hashtx %s to %s\n", hash.GetHex(), this->address);
- char data[32];
- for (unsigned int i = 0; i < 32; i++)
+ uint8_t data[32];
+ for (unsigned int i = 0; i < 32; i++) {
data[31 - i] = hash.begin()[i];
+ }
return SendZmqMessage(MSG_HASHTX, data, 32);
}
diff --git a/src/zmq/zmqrpc.cpp b/src/zmq/zmqrpc.cpp
index 81859f924f..f9f8b5a9dc 100644
--- a/src/zmq/zmqrpc.cpp
+++ b/src/zmq/zmqrpc.cpp
@@ -1,4 +1,4 @@
-// Copyright (c) 2018-2020 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
diff --git a/src/zmq/zmqrpc.h b/src/zmq/zmqrpc.h
index 5a810a16fb..ea5d190869 100644
--- a/src/zmq/zmqrpc.h
+++ b/src/zmq/zmqrpc.h
@@ -1,4 +1,4 @@
-// Copyright (c) 2018 The Bitcoin Core developers
+// Copyright (c) 2018-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
@@ -9,4 +9,4 @@ class CRPCTable;
void RegisterZMQRPCCommands(CRPCTable& t);
-#endif // BITCOIN_ZMQ_ZMRRPC_H
+#endif // BITCOIN_ZMQ_ZMQRPC_H
diff --git a/src/zmq/zmqutil.cpp b/src/zmq/zmqutil.cpp
index f07a4ae9fd..f0568634d4 100644
--- a/src/zmq/zmqutil.cpp
+++ b/src/zmq/zmqutil.cpp
@@ -1,14 +1,16 @@
-// Copyright (c) 2014-2018 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <zmq/zmqutil.h>
#include <logging.h>
-
#include <zmq.h>
-void zmqError(const char* str)
+#include <cerrno>
+#include <string>
+
+void zmqError(const std::string& str)
{
- LogPrint(BCLog::ZMQ, "zmq: Error: %s, errno=%s\n", str, zmq_strerror(errno));
+ LogPrint(BCLog::ZMQ, "zmq: Error: %s, msg: %s\n", str, zmq_strerror(errno));
}
diff --git a/src/zmq/zmqutil.h b/src/zmq/zmqutil.h
index 4c1df5d6db..334b51aa91 100644
--- a/src/zmq/zmqutil.h
+++ b/src/zmq/zmqutil.h
@@ -1,10 +1,12 @@
-// Copyright (c) 2014-2018 The Bitcoin Core developers
+// Copyright (c) 2014-2021 The Bitcoin Core developers
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#ifndef BITCOIN_ZMQ_ZMQUTIL_H
#define BITCOIN_ZMQ_ZMQUTIL_H
-void zmqError(const char* str);
+#include <string>
+
+void zmqError(const std::string& str);
#endif // BITCOIN_ZMQ_ZMQUTIL_H